10
00
10
01
00
10
11
00
01
00
01
10
00
01
10
00
00
00
10
11
10
00
00
11
00
00
11
10
11
01
01
01
00
01
10
01
00
10
10
00
10
00
01
00
00
10
00
01
10
10
11
10
10
01
00
00
00
01
00
10
00
00
10
00
10
11
10
01
10
10
00
10
00
10
01
00
10
01
11
00
11
01
00
00
10
00
11
11
00
01
11
10
00
00
10
00
00
11
00
00
00
11
00
10
10
00
10
01
10
11
10
01
10
11
10
11
00
00
10
10
01
10
10
00
01
00
10
10
00
11
11
10
00
11
11
10
10
00
00
10
11
10
10
10
00
00
11
00
00
01
10
10
10
11
00
10
10
00
00
00
11
10
10
01
10
00
10
10
10
11
01
10
00
00
00
00
01
10
01
00
11
00
00
11
10
11
11
01
01
00
01
11
11
10
00
00
00
00
11
11
01
01
10
11
10
00
11
10
00
00
10
10
01
01
10
00
10
11
10
10
00
00
00
10
10
10
10
01
00
10
10
00
00
00
11
10
10
10
01
10
00
01
10
00
11
10
10
00
00
00
10
10
00
00
00
00
00
00
00
10
00
10
11
10
10
01
00
10
10
01
01
10
00
00
11
10
00
10
00
00
10
00
00
11
10
10
11
01
01
01
01
10
11
01
10
10
01
10
11
01
00
00
10
10
00
10
00
00
10
10
10
10
00
01
00
10
10
10
00
01
10
10
01
01
11
01
01
01
10
11
10
10
00
00
00
10
10
00
00
10
11
10
11
10
00
01
10
11
11
11
00
10
00
00
01
10
10
00
01
00
11
11
01
10
01
01
11
10
01
11
10
00
00
00
10
00
01
10
01
00
01
01
01
00
10
00
01
10
11
10
01
10
10
00
01
10
10
00
10
01
10
11
10
11
00
10
00
00
00
11
11
00
10
10
00
00
00
00
11
10
10
00
10
10
01
10
10
00
01
11
00
01
00
11
00
00
11
01
01
10
11
00
00
00
00
10
10
10
01
10
00
11
10
01
11
00
11
00
00
11
10
00
10
00
00
01
10
10
10
00
10
10
00
01
01
00
10
00
11
00
11
01
11
00
01
10
00
10
01
00
10
00
01
11
10
10
11
10
00
01
01
10
10
00
00
11
10
00
11
10
01
00
10
10
00
10
10
10
01
00
10
11
10
11
10
10
10
01
10
00
10
10
01
00
00
01
10
10
00
11
10
00
11
01
01
01
10
11
10
01
00
00
10
10
10
01
00
01
01
00
00
00
10
01
10
11
00
10
10
00
10
10
10
00
10
01
00
01
11
01
00
00
01
10
10
00
00
11
10
00
00
10
10
00
10
10
10
01
10
00
00
00
11
00
00
11
00
11
10
01
11
00
10
11
01
00
10
11
00
00
10
01
00
10
00
11
10
11
00
00
11
10
00
10
10
11
00
00
00
00
10
01
10
11
10
00
11
10
10
00
01
11
00
00
11
10
00
00
01
01
11
10
11
00
01
10
11
00
11
11
01
10
00
00
11
00
00
11
01
00
01
10
10
01
11
11
00
00
10
00
11
11
00
00
11
10
10
10
11
01
00
10
01
01
00
10
10
10
01
00
10
00
00
10
11
00
10
10
00
11
10
00
00
01
11
10
00
00
10
10
11
10
00
00
11
10
01
10
11
10
01
10
01
00
00
10
10
10
01
00
11
10
10
01
00
10
10
00
01
10
01
00
00
11
00
00
10
11
10
00
11
10
11
10
01
00
11
10
01
11
00
00
10
00
00
11
10
10
00
00
10
01
10
10
00
00
00
10
11
10
00
01
01
10
10
00
11
00
10
10
10
00
01
10
10
10
00
00
00
10
01
10
01
00
10
11
10
00
00
11
10
10
00
00
10
11
11
00
10
10
10
01
10
00
00
11
11
10
01
00
01
00
10
11
11
10
00
10
10
11
10
01
00
11
00
01
00
10
00
00
01
11
10
00
10
00
00
10
01
10
00
00
10
00
00
10
00
00
00
01
10
01
01
01
00
10
00
11
10
00
00
11
00
00
00
01
01
00
10
11
10
10
10
00
01
10
01
00
10
10
00
01
00
11
10
11
00
10
00
00
10
10
10
00
10
10
00
10
10
00
10
00
00
00
00
11
01
11
11
10
11
10
01
00
11
10
01
01
10
00
10
00
10
10
00
10
01
00
01
11
10
10
00
10
10
11
01
00
00
10
10
00
01
10
01
10
10
11
00
10
00
10
11
10
01
10
10
01
00
10
11
00
00
01
00
11
00
01
00
10
10
00
00
00
00
10
01
00
11
10
10
00
00
10
10
10
01
01
10
10
01
00
10
10
00
00
10
11
10
10
11
00
10
11
01
11
01
00
01
10
10
10
00
00
10
11
00
01
10
00
10
10
10
01
10
10
10
10
00
10
11
01
00
01
10
00
01
11
11
01
01
00
11
00
00
10
11
10
00
01
11
00
11
11
00
01
00
10
10
00
01
10
10
00
11
01
10
00
01
10
00
10
01
01
01
00
01
10
10
10
00
00
10
00
00
11
10
10
00
11
00
00
10
10
00
10
00
01
10
01
01
10
00
10
11
11
00
01
00
00
00
10
01
00
00
10
11
00
10
10
11
11
00
00
10
01
01
00
00
10
10
00
00
01
10
00
00
10
00
11
10
00
10
11
01
00
00
00
10
01
10
10
11
10
01
00
00
01
01
10
10
10
00
10
10
11
01
10
10
10
00
00
11
00
11
10
11
11
11
11
00
00
11
10
00
00
10
10
10
01
10
01
00
11
11
01
00
01
01
11
00
00
01
11
11
01
00
10
10
00
10
10
01
00
00
10
00
10
00
10
10
00
00
10
11
10
01
11
01
10
00
01
10
11
01
00
11
10
11
10
10
00
11
10
00
10
01
10
01
11
01
10
10
10
01
00
10
10
11
11
10
00
01
10
10
00
01
10
00
10
10
01
01
11
10
10
00
10
00
01
01
11
01
11
10
11
00
00
10
01
00
10
00
11
10
00
00
00
11
10
10
01
00
01
10
10
00
10
10
00
00
11
10
00
10
10
00
10
10
01
11
10
10
00
01
10
01
10
10
00
11
00
01
10
11
10
11
11
01
00
10
01
01
11
10
00
00
00
10
11
00
00
11
10
10
10
01
00
00
11
10
00
00
00
10
00
01
00
11
11
01
11
10
10
01
01
10
01
00
00
10
00
10
10
10
01
11
10
00
11
01
11
00
10
00
01
00
00
10
10
11
10
10
01
00
01
11
10
00
10
00
10
11
01
00
00
10
10
10
10
00
00
00
01
00
10
11
10
10
00
01
10
11
00
11
10
10
00
00
00
10
10
10
01
00
11
10
11
00
10
10
10
01
01
01
10
01
01
10
00
11
10
10
00
00
10
01
00
01
10
01
10
11
01
10
10
10
00
01
10
00
10
01
00
01
11
10
00
11
00
10
00
00
11
00
00
11
01
00
01
10
00
01
10
00
10
00
11
01
11
01
00
10
01
11
00
11
10
00
00
01
00
10
00
00
10
11
00
10
11
10
11
10
00
00
01
10
11
11
10
11
00
00
10
00
01
11
11
01
10
11
01
10
10
00
00
10
00
00
10
10
10
00
00
11
00
01
10
11
10
10
10
00
10
10
10
00
11
10
11
00
00
11
01
00
10
10
01
00
10
00
10
00
00
10
00
10
10
00
01
00
10
10
10
00
00
01
01
00
11
00
10
01
00
00
10
11
00
00
10
00
00
10
10
10
10
11
00
00
01
10
00
01
11
10
00
01
00
00
10
10
01
10
10
10
10
10
10
11
00
00
10
00
00
01
00
00
00
10
11
01
00
00
10
10
00
00
10
00
01
00
00
01
10
00
11
11
00
10
00
10
00
00
11
01
00
01
01
10
10
10
00
00
10
11
11
00
11
11
10
10
11
10
10
01
00
00
01
01
10
10
00
00
10
11
00
11
01
01
10
10
10
11
10
00
00
00
00
10
01
11
01
10
11
11
11
10
01
00
11
01
00
01
01
11
10
10
01
10
11
10
00
00
00
10
10
10
00
11
10
00
00
10
01
00
10
00
11
00
00
10
10
10
10
01
00
00
00
00
00
00
10
11
10
01
00
00
10
00
11
01
00
11
11
01
10
10
00
01
00
10
10
10
00
10
00
00
10
10
10
10
00
00
10
11
00
10
10
10
00
00
00
10
10
00
01
10
01
11
01
01
00
10
10
10
10
10
01
10
11
10
01
00
00
10
10
00
00
10
11
00
00
00
00
01
11
00
00
01
10
01
11
10
11
00
11
10
10
01
01
11
00
10
10
00
00
00
00
10
11
00
00
01
11
10
00
00
10
00
00
11
00
11
11
11
01
11
00
01
00
10
01
01
10
00
00
00
10
00
10
11
01
00
01
11
10
00
00
10
11
10
01
00
01
01
00
10
11
10
00
11
10
00
01
01
00
10
10
00
11
11
01
11
10
11
01
01
01
01
11
10
11
10
00
00
00
10
11
00
10
11
11
11
11
00
10
11
10
00
00
10
11
01
10
10
10
00
00
11
10
00
01
00
00
01
00
01
10
11
01
00
00
10
10
01
10
10
00
00
10
01
01
11
11
00
10
10
10
00
00
10
11
00
01
10
01
11
10
00
00
10
11
11
01
01
01
11
10
10
01
00
10
10
00
10
10
10
10
01
11
11
10
00
10
10
00
01
10
10
01
10
11
10
00
00
11
11
00
10
10
00
10
10
01
01
11
10
00
01
10
10
11
10
00
10
00
00
11
10
00
01
00
10
10
00
10
00
00
11
00
10
11
11
01
01
11
01
10
00
00
00
00
10
00
00
10
00
10
00
01
11
10
11
01
00
01
10
00
00
10
11
00
00
10
11
11
00
00
10
11
10
01
01
01
01
10
10
00
00
11
00
10
10
00
10
00
10
10
11
00
10
00
00
11
10
01
00
10
01
01
00
10
01
01
00
01
10
00
00
00
01
00
11
10
00
10
11
00
00
00
10
10
00
11
01
00
01
01
00
00
10
10
01
00
10
10
00
00
11
10
01
11
01
10
10
10
11
00
01
00
11
01
01
11
10
10
00
10
10
00
11
10
10
11
01
10
11
10
10
00
01
00
10
00
11
10
00
00
00
01
00
11
00
10
00
00
10
10
10
00
01
11
01
10
00
00
11
00
00
00
11
10
10
01
11
11
10
00
10
00
00
10
10
01
11
10
01
11
00
00
11
00
10
10
10
00
00
11
11
01
01
11
01
11
11
00
00
10
00
10
10
00
11
00
00
10
00
00
00
11
10
00
00
00
00
00
00
11
10
00
10
00
00
01
11
10
01
01
00
01
10
10
00
00
10
01
00
10
11
00
10
10
00
10
10
00
00
10
00
11
11
01
01
00
10
00
11
10
10
10
00
00
00
00
01
10
11
01
00
01
10
00
10
00
00
01
11
10
00
10
00
10
11
10
01
00
10
10
01
00
10
01
11
01
00
00
11
11
10
00
00
10
10
01
00
00
01
11
01
10
11
11
11
01
10
11
00
00
01
00
11
10
11
01
00
00
00
00
10
11
10
01
00
11
01
11
10
00
01
01
01
10
11
11
01
01
11
00
11
00
10
00
00
10
01
10
10
10
10
00
00
10
00
01
10
00
00
10
00
01
10
10
11
10
10
10
11
11
10
00
00
00
11
00
00
10
00
01
11
10
10
10
00
00
00
00
10
00
01
00
10
00
01
00
01
00
01
00
01
01
10
10
00
10
00
01
10
10
00
10
11
10
11
00
00
10
00
00
10
10
00
11
00
01
10
10
01
10
00
01
00
11
01
01
00
11
10
00
00
10
11
00
10
10
11
00
00
11
10
00
00
00
00
00
10
10
00
00
11
10
10
10
10
10
00
10
11
00
11
11
00
00
10
11
01
11
10
01
10
10
00
00
10
11
10
00
11
10
01
11
00
10
11
00
00
10
10
00
10
11
10
00
00
00
10
00
10
10
00
01
10
10
10
00
00
01
00
10
10
11
10
00
11
10
10
00
10
11
00
00
00
01
00
10
00
00
00
00
00
10
00
01
00
00
10
10
00
10
01
00
10
10
00
10
10
00
10
10
00
11
10
00
00
10
10
11
00
11
11
01
10
00
11
10
10
00
11
10
11
11
00
11
10
10
10
10
01
00
10
10
10
01
00
01
01
11
01
10
00
10
11
01
11
10
01
00
11
10
10
01
10
10
00
10
10
11
00
00
00
00
10
10
10
01
11
11
01
00
00
01
10
11
00
00
01
10
10
00
00
01
10
10
11
10
10
00
00
00
00
10
10
00
10
10
01
00
11
11
01
10
10
11
01
10
11
01
00
00
11
00
01
01
11
10
11
10
00
01
10
10
01
00
10
00
00
10
00
10
10
10
00
00
00
11
10
00
10
00
01
00
01
00
10
11
00
00
10
00
00
11
10
10
00
00
10
10
10
11
11
00
11
10
00
00
00
10
10
11
01
01
01
01
10
01
01
11
10
00
01
00
00
10
00
10
10
10
10
10
01
01
10
01
00
10
11
00
00
11
11
10
01
10
01
10
11
10
10
00
00
10
10
10
00
00
10
10
11
10
00
10
10
00
00
01
00
11
10
11
00
11
10
00
11
11
00
00
10
11
00
00
10
11
10
10
00
00
10
00
10
11
00
00
01
10
01
01
10
00
00
00
00
01
11
01
00
01
01
01
11
00
10
10
00
00
00
01
10
00
00
00
10
11
01
10
11
00
00
00
01
01
00
11
10
01
10
11
10
00
01
11
10
01
10
10
00
01
00
11
11
11
10
00
10
00
00
10
01
00
00
00
10
01
00
10
10
11
01
00
00
10
10
01
01
10
11
00
01
10
10
00
10
10
00
10
01
10
10
00
00
10
01
10
11
00
10
00
10
11
00
00
01
11
00
01
10
00
10
01
00
01
00
10
00
01
01
10
10
00
10
10
00
10
10
00
00
00
00
11
11
01
01
10
00
00
01
00
01
10
10
11
00
00
10
01
00
01
00
00
10
01
11
10
11
01
00
10
00
10
10
00
10
10
00
10
01
00
00
01
10
10
10
01
01
11
10
11
11
10
00
11
01
00
11
11
10
10
10
10
01
01
11
00
00
11
01
11
01
00
10
00
10
10
01
00
10
01
01
10
01
00
10
11
10
01
10
01
00
01
10
10
11
11
10
00
00
11
10
01
00
00
11
01
11
00
10
10
10
00
10
10
00
10
00
10
00
10
01
11
10
01
00
01
11
01
11
10
10
00
00
11
11
00
00
00
10
10
00
10
00
10
11
10
11
11
10
10
10
11
00
00
10
01
00
01
00
10
10
00
11
10
11
00
00
10
10
01
00
10
10
10
00
00
10
11
01
10
00
01
10
00
11
00
00
10
00
11
10
11
10
00
10
11
01
11
11
01
00
01
01
00
10
10
00
00
11
10
11
01
00
10
01
10
10
00
11
10
01
00
10
00
00
01
01
00
01
10
00
00
10
01
00
00
11
10
00
10
01
00
00
10
10
01
10
01
00
00
10
11
01
10
10
10
00
01
00
01
10
00
00
11
11
01
10
10
10
00
00
00
01
10
11
00
00
00
01
10
10
10
00
00
00
10
00
00
01
10
00
01
11
11
01
00
10
10
10
00
10
10
01
10
10
01
10
11
10
01
11
00
11
10
01
10
10
00
01
11
11
10
00
10
10
00
00
11
10
11
00
00
11
00
00
01
10
10
11
10
00
00
01
11
10
00
10
10
00
10
01
00
11
11
01
01
11
01
10
01
10
10
00
00
11
01
00
00
00
00
10
10
00
11
10
10
01
00
00
10
00
00
11
00
00
10
00
00
11
00
01
10
10
10
11
01
10
01
10
10
10
00
00
00
00
10
11
11
00
11
00
00
00
10
00
01
10
10
10
10
10
00
01
11
01
11
10
10
10
00
00
11
10
00
00
10
00
00
01
10
00
10
01
00
01
10
10
11
00
00
00
10
00
00
00
10
00
00
00
10
10
10
00
01
10
00
00
10
00
01
11
11
00
00
01
10
00
10
00
00
11
10
11
10
11
11
10
11
01
00
00
01
11
11
10
00
10
10
00
01
00
10
11
00
10
10
10
01
01
10
00
11
01
10
00
00
01
10
11
01
10
10
00
00
00
10
11
01
10
10
01
10
11
10
00
10
11
00
10
11
00
00
01
10
00
01
10
10
11
01
01
00
11
01
10
01
10
11
00
10
01
00
10
10
01
00
01
10
10
10
10
10
01
01
10
01
01
00
11
00
10
10
00
01
10
00
00
00
01
00
10
01
00
00
10
10
10
11
00
01
10
01
00
10
00
00
01
11
11
11
11
10
10
01
00
10
10
11
01
11
00
00
10
11
00
00
11
10
01
01
11
11
00
11
10
10
00
10
00
01
11
11
11
00
10
10
11
10
00
10
11
01
01
10
11
00
00
10
00
11
11
00
10
00
00
00
10
11
01
10
11
00
00
00
10
01
10
10
00
00
11
10
10
10
01
00
10
10
00
10
10
11
01
10
01
00
10
10
00
11
00
10
11
11
10
10
00
10
00
10
00
00
11
10
00
00
10
00
10
11
11
11
00
10
10
01
01
10
01
00
11
11
00
00
11
10
01
00
00
10
10
10
10
00
10
01
10
00
01
10
01
10
00
00
11
00
10
00
00
11
10
11
11
10
01
10
10
00
11
11
00
01
01
10
10
00
10
10
00
10
11
00
10
10
01
00
00
10
10
00
10
00
00
11
10
10
00
00
10
01
11
01
11
10
00
00
00
10
01
11
10
10
00
10
10
10
10
00
00
10
00
01
10
01
00
00
00
10
01
00
10
10
11
00
00
01
10
11
00
00
00
01
01
00
10
00
00
10
11
00
01
10
01
00
11
00
01
10
00
01
10
11
00
11
10
10
00
00
11
10
00
10
10
00
00
10
00
01
10
01
11
10
00
11
10
11
10
00
01
01
10
10
00
00
11
10
01
11
11
00
11
00
01
00
10
10
10
00
01
00
10
10
01
10
11
11
01
11
10
11
00
00
11
01
00
10
00
01
11
10
10
01
01
11
00
10
11
11
00
00
10
00
10
01
11
10
01
10
10
10
10
00
00
00
11
00
00
01
10
11
00
00
01
01
10
10
01
10
00
00
11
11
10
11
00
10
00
10
00
11
10
00
10
10
00
01
00
00
01
10
00
11
00
00
10
11
00
10
00
01
10
00
00
10
10
01
10
11
00
10
10
11
10
10
10
00
00
10
10
00
00
11
00
00
10
10
10
00
11
10
10
00
01
10
00
10
10
11
00
10
00
00
11
11
10
00
00
00
11
01
11
10
10
10
10
01
00
10
10
11
00
10
00
01
01
10
00
00
01
01
10
01
00
11
00
10
10
00
00
10
10
00
10
10
01
00
11
01
10
10
01
11
00
01
10
11
00
11
11
00
00
10
11
01
11
01
10
00
00
10
00
10
00
10
10
00
10
00
00
10
10
10
11
01
00
10
10
01
00
10
01
00
01
10
10
00
11
00
10
00
00
01
10
10
01
00
10
00
10
10
10
00
10
10
00
01
10
00
00
10
10
00
00
01
01
10
10
11
11
01
10
00
11
00
00
10
01
00
10
00
11
01
01
01
10
00
10
00
00
00
10
10
00
00
11
10
10
10
00
01
01
11
11
10
00
10
01
00
00
10
11
10
10
10
00
01
10
11
00
10
00
01
00
00
01
10
11
00
00
11
10
10
11
11
00
10
10
10
00
00
00
01
01
10
00
11
10
10
10
00
10
10
10
10
11
01
00
01
10
01
01
00
00
00
10
11
01
01
10
01
00
11
10
00
00
10
10
10
01
00
01
00
01
10
11
10
01
00
11
11
01
10
10
11
10
01
00
10
00
00
10
00
01
10
00
11
00
10
00
01
00
10
00
00
10
10
10
10
11
01
10
10
00
00
10
11
00
01
01
10
11
00
00
11
10
01
00
11
10
00
00
11
10
11
10
00
00
11
10
11
00
10
00
00
10
00
11
10
00
11
01
00
10
00
10
00
00
01
10
10
10
00
11
10
10
01
00
00
00
01
10
11
01
00
10
10
00
10
11
00
01
11
10
11
00
10
11
00
00
01
00
10
11
00
00
01
10
11
10
10
10
10
10
11
10
00
00
11
10
10
11
11
01
10
10
00
10
01
01
10
10
01
10
10
10
00
01
00
00
00
10
00
01
11
11
10
10
00
00
00
00
01
10
00
11
01
10
01
00
10
10
10
01
00
11
00
00
00
11
00
01
10
10
00
00
10
00
00
10
10
00
01
10
11
00
00
00
10
00
00
00
11
00
11
01
01
00
11
11
11
01
00
11
10
01
00
10
00
00
10
00
00
11
10
10
11
11
00
00
00
11
11
11
01
01
11
10
00
10
00
01
11
10
00
11
00
01
10
00
10
00
10
11
10
10
01
00
11
01
10
00
01
10
11
10
00
01
00
01
10
00
00
11
00
00
10
10
00
00
01
10
00
00
10
00
00
01
10
10
00
10
11
11
10
11
10
10
01
10
01
10
10
01
10
01
00
10
00
10
00
10
11
00
00
00
10
10
01
00
00
00
10
11
10
11
00
00
00
01
10
11
00
00
10
10
00
10
11
00
10
01
00
00
00
00
01
00
10
11
10
00
01
11
00
10
00
10
00
10
10
00
00
11
00
00
01
11
00
01
10
11
10
00
00
00
01
11
00
00
10
00
10
01
00
10
11
10
00
10
10
01
10
11
00
10
10
00
01
10
10
00
01
10
00
10
10
01
10
00
00
11
11
10
00
00
00
00
11
10
00
01
10
11
11
10
00
00
10
10
00
00
11
11
00
11
10
11
00
11
01
00
11
00
01
10
11
00
00
00
10
10
11
10
00
10
10
10
10
01
00
00
11
00
01
11
11
00
00
10
10
10
10
11
00
11
10
11
10
10
10
10
11
00
01
00
11
00
00
10
10
11
00
10
10
10
00
11
00
10
00
10
10
00
10
10
00
00
00
10
11
01
01
01
00
10
01
11
11
10
00
00
01
00
10
11
00
01
01
00
10
00
10
00
11
10
11
10
01
01
10
00
11
01
00
11
01
10
00
00
00
11
10
00
10
11
10
10
10
00
10
00
10
00
00
10
10
10
00
01
10
10
11
00
10
11
10
00
10
01
01
10
10
00
11
10
00
00
11
00
10
01
10
10
00
00
00
10
00
00
10
00
10
10
10
00
11
01
10
00
00
10
00
00
10
00
10
11
11
01
01
11
11
11
01
01
11
10
10
11
00
01
11
00
00
10
10
10
00
00
10
11
00
00
10
11
00
11
00
01
10
11
10
01
10
10
00
00
00
11
00
11
00
01
00
01
11
01
01
10
10
01
10
10
00
11
11
10
10
01
10
10
11
00
00
00
11
11
10
10
00
10
11
10
00
11
10
10
00
00
00
01
10
01
01
10
00
10
01
00
00
11
11
10
00
00
10
10
00
01
10
01
01
00
00
10
00
10
01
10
10
10
11
10
11
00
11
00
00
11
10
01
00
10
00
11
01
00
00
10
00
10
01
00
00
10
11
10
10
11
11
10
00
00
11
01
01
10
00
11
11
01
11
00
10
10
10
11
00
00
00
10
10
11
00
10
00
01
00
00
00
00
00
00
10
10
10
00
11
00
00
00
00
10
10
00
00
00
00
10
00
10
01
00
01
01
00
10
11
01
00
10
00
00
01
01
01
10
01
00
10
01
10
10
00
00
10
01
11
11
00
11
00
11
11
00
10
10
11
00
01
00
01
00
10
10
00
01
10
11
10
10
11
10
01
00
00
00
00
01
10
11
00
01
10
01
10
10
10
00
00
10
10
00
00
10
00
10
11
10
10
00
00
10
11
01
00
10
10
10
10
01
10
00
10
00
00
00
00
11
01
11
10
00
10
00
00
00
10
10
01
10
11
10
10
10
00
01
01
01
10
10
11
01
00
01
00
11
01
01
10
00
00
11
10
01
00
10
11
00
00
10
10
01
10
00
00
00
01
01
01
10
01
00
10
00
00
01
10
00
01
11
10
10
10
10
11
11
00
11
00
00
10
00
00
10
01
00
10
10
10
11
00
01
00
00
01
11
00
11
01
11
11
00
01
00
00
01
11
11
11
01
00
11
11
00
00
11
00
11
01
01
10
01
11
10
10
00
01
10
01
11
10
00
01
11
10
11
01
00
11
10
11
01
01
11
00
00
11
00
00
10
10
10
00
00
00
11
01
10
01
01
11
01
00
10
00
00
11
10
01
01
11
11
10
10
00
01
11
01
10
10
10
01
10
11
00
00
10
01
01
00
00
10
11
01
00
00
00
00
11
10
10
10
10
00
10
11
00
00
10
10
00
01
00
10
00
11
00
10
00
10
11
01
00
00
00
00
10
00
00
11
00
01
01
10
11
11
11
11
10
10
00
00
01
00
11
00
01
10
00
10
10
00
00
00
11
10
00
00
10
01
10
11
00
11
10
10
00
00
01
10
10
00
11
11
01
00
00
00
01
10
10
01
01
00
11
01
10
01
01
00
10
01
00
10
10
00
01
10
10
00
00
00
10
10
10
00
01
11
01
01
10
10
01
01
10
10
10
00
00
10
00
10
10
00
01
11
10
00
00
01
01
00
11
10
10
00
10
01
00
11
10
10
11
11
00
10
01
00
00
10
00
01
00
10
00
10
10
00
00
10
10
00
11
11
00
10
00
11
01
01
11
11
00
10
00
00
00
10
11
00
00
00
10
11
00
00
01
00
00
00
00
01
10
10
00
10
00
01
10
10
00
00
10
10
10
10
10
00
11
10
11
00
11
10
10
10
00
10
10
11
00
10
10
00
00
10
01
00
11
10
10
00
00
11
01
10
00
10
11
00
00
10
01
01
01
01
10
00
11
00
11
10
11
11
00
00
10
00
10
10
00
01
11
10
00
11
00
10
00
00
00
00
00
10
11
10
11
10
01
10
00
00
11
11
00
01
01
00
00
01
11
10
00
00
11
00
01
11
00
11
00
11
10
01
10
10
11
00
11
00
00
11
10
00
00
10
11
10
00
00
10
01
01
01
01
10
10
11
00
01
10
00
00
10
11
10
10
01
00
01
10
11
11
01
00
10
01
10
11
01
00
11
01
01
10
01
01
10
10
00
00
10
00
01
11
00
00
11
10
00
00
10
11
00
10
01
00
00
11
11
10
10
10
11
11
11
00
01
10
00
11
00
01
10
01
01
00
00
10
11
00
10
10
11
00
01
11
10
10
01
00
00
11
10
00
00
00
11
10
01
00
11
00
10
10
11
00
01
11
11
11
10
00
10
10
00
00
00
10
01
00
10
11
10
00
00
00
01
00
10
10
01
00
01
10
10
10
10
11
00
00
10
11
00
10
11
10
00
01
00
10
00
10
10
10
00
00
11
10
10
00
11
10
00
00
10
10
01
11
01
00
00
10
11
00
00
00
00
00
01
00
10
01
11
00
00
11
00
01
10
11
00
01
10
00
00
01
10
10
11
01
00
01
10
00
01
00
00
10
10
01
01
11
11
10
11
10
00
00
10
10
10
00
00
01
00
00
01
01
10
00
00
00
11
00
01
10
10
00
10
10
10
10
00
01
11
11
01
11
00
11
01
10
10
00
01
10
11
10
01
00
00
01
00
01
11
10
10
11
10
10
10
00
01
00
01
00
10
00
00
00
11
11
01
01
01
11
00
01
01
01
10
10
01
00
10
10
10
00
10
10
00
10
00
10
10
00
11
10
10
10
00
10
01
01
10
01
10
01
10
11
01
00
00
10
10
11
00
10
01
01
11
10
11
00
11
10
01
10
10
11
10
11
00
00
11
10
11
10
11
00
01
10
11
11
00
11
10
10
01
00
10
10
00
10
10
10
10
00
10
11
10
10
00
00
01
10
10
11
00
00
00
00
00
00
10
10
00
00
10
00
00
11
01
10
00
00
10
10
11
00
11
10
00
10
01
00
10
10
11
01
11
10
00
00
01
11
00
01
10
10
00
11
11
10
10
10
00
01
00
11
10
00
01
10
00
00
01
10
11
11
01
00
00
10
00
01
10
00
00
10
00
10
10
00
00
10
10
10
11
00
10
00
11
01
01
00
10
10
10
00
01
10
10
01
01
01
00
10
11
10
11
01
01
11
10
00
00
10
00
01
10
10
10
10
00
01
10
01
11
11
01
00
10
10
01
00
10
10
00
00
11
00
11
11
00
11
00
11
10
00
00
00
10
11
00
01
10
00
11
01
10
11
11
01
11
00
10
10
00
00
00
10
10
01
10
00
01
10
11
00
10
10
01
00
10
10
00
01
10
00
11
10
11
10
01
01
10
10
00
10
10
01
00
10
00
01
10
00
00
10
11
10
00
00
10
11
00
00
10
10
11
00
01
11
00
00
10
01
01
00
00
10
00
10
00
10
10
01
11
10
10
01
00
11
00
00
10
10
10
10
00
01
01
01
00
10
11
00
00
10
10
00
11
00
10
11
11
10
00
00
00
00
11
10
10
10
00
00
11
00
00
10
10
00
01
00
10
01
10
01
00
01
00
00
10
11
11
00
10
11
00
00
00
01
00
00
11
10
01
00
01
01
11
11
00
10
10
10
00
00
10
10
10
10
10
01
00
10
00
00
10
10
00
10
00
00
10
10
11
00
10
00
00
00
11
01
01
00
00
00
00
11
10
00
01
10
10
10
01
11
00
00
11
10
00
10
10
01
11
10
10
00
00
10
00
11
10
00
00
11
10
10
01
00
00
11
00
11
00
00
11
01
10
10
11
01
01
01
11
00
01
10
10
10
00
01
10
10
00
00
10
00
10
10
10
01
11
00
11
00
00
00
00
10
11
10
01
11
11
11
00
10
01
10
10
11
00
00
11
00
01
10
00
00
00
11
01
11
01
00
01
00
11
00
11
11
00
10
01
10
10
01
01
00
00
11
11
11
11
01
01
10
00
11
01
01
10
10
00
11
10
00
00
10
10
10
11
11
10
10
01
00
01
11
10
11
00
10
11
00
11
00
01
01
11
10
00
11
10
11
00
01
00
10
10
10
11
00
00
00
01
01
11
10
11
00
00
10
00
10
10
10
01
10
10
10
00
10
01
00
11
00
10
00
11
10
00
11
10
01
10
00
11
11
10
11
01
00
10
00
01
11
10
01
10
11
00
11
00
10
10
01
10
10
00
10
11
01
10
01
00
10
10
01
11
10
10
00
00
00
01
10
00
00
10
01
10
01
00
11
00
10
11
00
10
10
01
00
10
10
01
10
00
01
10
00
00
01
00
00
00
10
00
00
01
11
10
00
10
00
10
00
11
00
01
01
01
11
01
00
11
11
01
00
11
00
11
11
00
00
11
01
00
01
10
00
00
10
10
01
00
11
10
10
11
10
10
11
10
01
00
10
00
10
01
00
11
11
10
00
11
10
10
10
00
01
01
00
11
11
00
00
10
00
00
10
00
10
00
01
10
10
10
00
10
10
10
00
10
10
00
00
10
00
00
00
10
00
00
00
00
10
11
11
10
10
00
00
00
00
10
10
10
00
00
00
11
11
01
11
00
00
10
00
00
10
10
01
00
11
11
10
01
10
00
00
10
00
01
11
10
10
10
00
10
10
01
00
11
10
11
00
10
01
10
00
01
10
10
00
01
00
11
01
00
00
11
10
00
01
11
10
01
10
10
01
10
10
00
01
01
01
10
01
11
01
11
01
10
00
01
11
01
00
10
11
10
10
01
01
00
11
10
10
01
10
11
11
01
01
10
01
10
11
00
01
00
10
11
10
11
00
10
10
01
10
10
10
01
01
11
00
01
10
01
11
01
01
11
10
00
00
11
10
01
10
10
11
10
10
00
01
00
00
10
11
11
00
10
00
00
10
11
11
01
11
10
01
01
00
11
10
00
00
01
10
11
00
10
10
10
11
10
01
00
11
00
01
10
00
00
11
00
11
00
00
11
10
01
11
00
00
10
01
00
01
10
10
11
00
00
00
10
10
00
10
10
10
00
10
10
01
00
01
00
00
11
11
10
01
01
10
01
01
10
10
01
01
01
00
01
10
10
00
01
11
01
01
10
00
00
10
10
01
10
01
00
10
10
01
00
10
00
11
00
00
01
10
11
11
10
00
10
00
11
01
00
11
10
00
10
10
10
00
01
10
10
00
01
00
00
00
00
00
10
10
10
10
00
01
00
01
00
11
10
00
00
11
00
10
00
11
11
00
10
10
00
00
10
00
00
11
10
10
11
10
10
10
10
11
11
01
01
00
01
10
10
11
10
00
00
10
01
10
11
10
10
01
00
10
01
01
00
10
00
00
00
00
10
10
10
11
01
01
10
01
11
11
10
10
01
01
01
11
10
00
00
01
00
10
10
00
01
00
10
00
01
01
01
10
10
10
11
11
00
00
11
10
00
10
00
11
10
00
00
00
10
11
10
00
11
00
01
10
10
11
00
11
10
00
00
11
10
10
00
01
00
10
10
00
10
11
00
10
10
00
10
10
00
00
10
00
01
11
11
10
01
00
01
10
10
00
00
11
10
01
10
00
01
01
01
11
10
01
10
10
10
01
10
10
01
00
01
10
10
10
00
10
00
00
00
10
01
00
11
00
00
00
10
00
10
00
01
00
00
00
00
00
00
00
10
01
00
10
01
00
01
00
11
10
11
11
10
00
01
00
10
00
01
10
00
10
11
00
01
10
10
11
11
10
00
10
11
00
00
10
01
10
11
11
00
10
10
00
10
10
00
11
00
00
01
00
00
00
01
00
01
11
10
10
00
00
01
00
10
10
00
01
01
00
10
11
01
00
01
10
00
11
00
10
10
10
01
00
10
11
00
00
11
11
11
00
00
11
10
01
00
11
10
10
00
00
01
10
00
10
10
00
10
11
10
10
01
00
00
10
10
00
10
11
00
01
10
10
00
00
10
00
00
00
01
00
01
10
10
10
10
00
00
00
11
00
01
10
10
00
10
01
10
10
10
11
10
00
10
10
11
10
11
00
10
00
11
10
01
10
00
01
01
10
00
00
11
01
00
11
10
01
01
01
01
10
10
01
01
10
01
00
10
10
00
11
00
01
10
00
11
10
01
11
10
01
11
11
00
00
00
10
10
00
00
10
01
10
11
10
10
01
00
01
10
10
10
01
01
11
11
01
00
10
00
10
00
01
10
00
00
00
01
11
10
00
00
01
00
11
01
00
10
00
00
00
10
10
10
11
10
10
10
10
11
10
11
00
10
10
01
10
10
00
00
01
11
01
00
00
00
00
00
11
11
01
00
00
01
00
00
11
01
00
00
00
10
11
00
10
01
11
11
10
00
10
01
10
01
00
10
00
00
10
10
00
00
00
00
10
10
10
01
01
10
10
11
11
01
00
11
10
00
11
10
01
01
10
10
01
10
10
01
00
01
01
10
10
00
10
10
01
00
01
00
11
10
10
11
11
10
10
11
00
10
00
11
11
00
01
10
01
00
00
00
00
10
10
10
00
10
11
10
01
00
10
10
00
00
01
11
00
10
10
00
00
11
10
00
10
11
10
10
10
00
10
10
00
00
00
11
11
10
00
10
10
01
10
10
00
11
01
10
00
00
10
00
11
00
00
00
00
10
11
10
01
00
10
11
11
01
11
10
10
00
10
01
00
10
10
00
10
00
11
01
00
10
11
10
10
00
10
11
10
00
00
10
10
00
00
10
10
10
10
11
00
00
11
00
00
01
10
01
00
11
10
00
10
10
10
01
00
10
10
10
10
00
00
10
00
00
00
10
11
01
10
11
00
10
11
10
01
00
00
11
00
11
10
11
00
00
10
00
10
00
00
11
00
00
11
00
11
00
10
10
00
00
00
01
10
11
01
01
11
00
01
00
00
11
10
10
10
10
10
00
00
00
10
00
11
01
11
01
10
10
10
10
00
00
00
10
10
01
10
00
10
00
11
10
00
10
10
01
10
11
01
01
10
11
01
11
10
00
00
10
11
00
11
10
00
00
10
10
00
10
11
01
00
00
01
10
11
10
00
00
00
10
10
11
00
10
11
00
00
01
10
00
00
10
00
00
10
00
11
00
11
00
11
11
11
00
01
10
10
00
00
00
10
00
00
00
11
00
00
10
00
10
10
11
00
11
00
10
01
00
01
01
01
10
10
00
00
01
11
00
10
10
00
10
01
00
11
10
10
01
00
01
00
00
11
10
00
00
00
10
10
01
00
00
10
10
00
01
10
11
10
00
10
01
01
10
10
10
10
01
10
00
01
10
00
00
00
11
00
01
00
01
10
01
11
01
11
10
00
01
10
00
00
10
10
11
10
00
00
01
10
11
11
11
00
11
10
10
01
00
10
00
00
11
00
00
11
10
11
00
10
10
00
11
00
10
11
01
11
00
00
01
01
00
10
10
10
00
00
10
10
01
00
11
11
00
00
10
11
00
00
01
11
00
00
10
01
10
00
10
10
11
00
01
10
01
00
10
10
00
10
10
00
01
00
11
01
10
10
10
00
01
00
10
00
01
10
10
00
00
11
01
00
11
00
10
00
00
11
10
01
01
10
10
00
11
01
00
11
01
00
00
00
10
00
10
10
00
00
01
10
11
11
11
11
00
11
00
01
11
00
01
10
00
00
00
10
10
00
01
10
01
00
10
10
10
00
00
00
10
10
10
10
10
11
00
01
11
01
10
01
11
10
11
01
10
00
10
11
00
00
10
01
10
10
01
01
11
10
10
00
10
00
01
10
11
00
11
10
00
01
11
00
00
00
10
00
00
01
10
01
11
01
10
00
00
10
10
10
01
00
10
10
00
10
00
00
10
00
10
10
00
10
01
00
00
10
01
00
10
01
00
11
11
10
11
00
11
10
01
01
00
01
10
00
10
00
00
01
11
11
11
00
11
10
11
00
01
10
10
00
00
10
10
10
10
01
00
00
00
11
10
00
01
01
10
01
00
10
00
10
10
00
10
10
01
00
11
11
01
00
11
10
00
10
10
10
10
10
00
11
10
01
10
00
01
00
01
00
00
10
00
10
11
00
00
01
11
10
01
01
11
11
00
01
11
10
10
01
01
11
00
10
10
00
00
00
11
10
01
10
00
01
00
10
10
10
00
01
11
10
11
01
10
11
00
00
01
11
11
00
10
10
00
00
10
00
00
10
11
11
10
00
00
00
10
00
10
10
11
01
01
10
10
10
10
00
00
11
10
01
01
10
10
11
00
00
10
10
00
00
10
00
10
01
10
10
01
00
10
10
10
00
10
11
00
10
11
00
10
10
00
10
00
01
11
10
10
00
10
10
00
00
11
11
10
01
01
00
00
11
01
11
11
00
10
10
01
00
11
10
00
01
10
10
00
00
01
00
10
11
00
11
01
01
10
10
00
00
10
11
11
11
11
00
01
11
10
00
00
01
11
10
00
10
10
00
11
11
11
01
10
01
10
01
01
00
00
11
00
10
01
01
11
10
00
00
00
00
10
11
01
01
10
10
00
10
00
00
00
00
10
00
00
01
00
10
10
00
00
11
00
01
00
00
01
00
11
10
11
00
11
00
10
11
01
00
01
01
00
01
00
11
10
01
01
00
01
11
11
01
00
00
10
10
00
10
00
01
01
10
00
01
00
10
00
10
10
01
10
00
00
00
10
00
00
10
10
00
10
01
01
00
01
10
11
01
10
11
11
01
01
10
11
11
10
00
00
00
10
01
00
10
10
01
10
11
01
10
00
00
01
10
01
00
10
11
10
11
11
11
01
01
00
11
01
00
01
11
10
00
01
11
01
11
11
01
01
01
10
10
00
00
10
10
01
01
10
10
00
10
10
01
10
10
00
01
10
11
01
10
10
00
11
11
00
10
01
00
10
00
10
11
11
00
01
11
00
00
00
00
10
00
01
10
10
10
00
11
10
00
00
10
10
10
00
10
11
11
00
10
00
11
11
00
01
00
00
11
10
00
00
10
10
00
00
10
10
11
00
00
01
10
01
11
10
10
10
00
11
10
00
00
11
10
00
10
10
10
00
11
10
00
00
10
00
10
00
00
11
00
00
01
00
01
11
01
01
10
11
10
11
00
01
10
11
00
01
00
10
10
10
00
00
00
11
11
10
10
00
00
10
10
10
00
10
11
01
01
11
11
10
00
10
11
00
00
11
10
00
01
00
00
10
11
00
00
10
10
11
10
01
00
00
11
01
00
00
00
11
10
00
01
10
10
00
01
00
10
11
00
00
10
11
11
00
10
10
10
00
10
00
00
10
00
00
11
11
00
01
10
10
10
00
01
10
11
11
10
00
00
10
00
00
10
10
10
00
00
00
10
10
00
11
10
00
01
10
00
00
00
11
11
00
11
00
00
10
01
01
01
10
11
10
00
10
10
01
00
10
10
01
11
10
01
11
10
11
10
00
10
01
01
01
10
00
00
01
00
10
10
00
00
11
00
11
10
11
10
01
00
10
01
00
11
00
11
11
01
10
10
10
00
01
10
11
00
00
10
11
01
01
10
11
00
10
00
11
00
01
10
11
01
01
10
10
01
00
00
11
00
00
10
10
11
10
00
10
10
10
11
00
00
00
00
01
10
00
10
11
00
11
00
01
10
10
01
10
00
10
00
00
00
11
10
01
10
10
10
10
11
10
10
00
10
10
01
00
10
10
01
01
11
01
10
10
01
11
00
00
10
10
00
00
11
10
01
00
11
01
10
10
00
10
10
00
10
10
01
00
00
00
11
10
11
10
10
11
10
11
01
01
00
00
00
01
10
11
00
00
10
10
10
00
10
10
11
01
10
01
11
00
10
00
00
10
10
00
00
11
00
01
10
10
00
00
10
11
10
01
11
00
00
10
00
11
10
00
01
00
00
10
01
00
10
10
10
00
01
10
10
11
01
00
10
10
00
00
00
10
00
10
00
00
11
01
01
00
10
11
10
10
11
00
00
00
11
10
10
10
01
11
11
01
01
10
10
11
10
01
01
00
11
10
00
10
00
00
11
11
00
01
01
10
10
10
01
01
10
10
01
10
01
00
10
00
00
00
10
11
00
10
10
11
01
01
00
11
00
00
00
00
10
00
00
11
10
00
01
10
00
00
10
10
11
10
00
11
00
00
11
00
10
10
10
00
01
10
11
00
11
00
00
00
10
01
00
10
01
10
10
10
10
00
10
00
10
11
01
10
00
10
10
01
11
10
00
01
10
01
10
10
10
00
00
01
00
10
01
00
01
10
10
10
10
00
11
10
00
01
11
00
00
10
10
00
10
10
00
00
10
11
00
10
10
10
00
00
10
00
00
00
01
01
01
10
11
00
00
00
10
01
00
10
10
10
00
00
01
00
11
11
10
10
11
00
10
01
00
10
10
01
10
11
10
00
01
10
00
00
10
10
10
11
00
01
10
10
00
00
00
10
00
00
11
10
01
00
10
10
00
10
10
11
00
01
00
00
01
10
01
11
00
00
10
01
01
10
11
11
00
10
01
10
10
11
00
00
10
00
10
01
00
10
01
11
00
00
00
01
00
00
00
10
11
01
11
00
11
10
00
01
00
11
10
10
01
11
10
00
01
10
10
10
10
10
10
00
00
01
11
10
00
00
00
00
00
11
10
00
01
00
00
00
10
11
10
11
00
10
00
11
10
00
00
10
00
00
11
11
11
00
00
01
10
11
11
00
10
10
11
01
10
10
11
00
11
10
00
00
01
10
10
11
00
10
01
10
01
00
10
00
00
10
10
10
00
10
10
10
00
11
01
01
11
10
01
10
00
10
10
01
00
10
10
11
11
00
00
01
00
11
00
00
10
11
00
11
11
00
11
00
10
01
10
11
01
01
10
01
10
10
00
11
10
01
11
00
10
10
10
10
01
00
01
00
11
00
01
00
10
10
00
00
10
10
11
01
01
10
11
00
01
00
01
01
00
01
11
01
00
01
10
11
00
00
01
10
10
00
10
10
00
00
10
00
10
11
11
00
01
01
00
11
10
10
00
01
10
01
10
11
10
00
10
10
01
01
10
00
11
10
00
01
10
00
00
00
00
11
00
10
00
10
01
00
10
10
00
00
10
01
00
00
01
01
11
11
11
10
10
11
10
00
01
11
10
10
01
00
01
10
01
10
00
00
10
00
00
10
11
01
01
11
11
11
00
00
10
10
01
01
10
10
00
11
00
00
11
10
00
10
10
01
01
11
10
10
00
00
11
01
00
10
11
11
10
00
10
00
00
10
00
11
10
00
10
10
10
11
00
01
01
10
00
01
10
10
10
01
01
10
00
00
00
10
00
00
10
10
10
00
01
00
01
10
11
00
11
00
00
10
11
10
11
10
11
00
10
00
00
00
00
10
10
00
00
00
11
00
00
00
10
01
10
10
00
10
00
11
00
01
10
10
00
00
10
10
10
00
11
10
01
10
11
00
11
00
11
01
01
10
10
00
01
00
10
00
01
01
01
00
11
10
00
01
10
11
01
01
10
00
00
11
00
11
10
10
10
10
10
01
10
00
10
00
01
10
10
11
01
01
00
00
00
10
10
11
11
00
10
10
10
00
10
01
00
01
00
10
10
10
01
10
10
10
11
01
00
10
10
01
10
00
10
10
00
10
00
00
00
10
10
11
10
10
10
10
10
00
10
00
00
10
11
00
01
10
00
11
11
01
11
10
00
00
01
01
01
01
10
10
00
00
11
10
00
00
11
10
00
00
10
01
00
00
00
00
10
00
00
00
00
00
10
10
01
11
11
01
01
10
01
00
10
10
00
00
10
11
01
01
00
11
11
00
10
01
10
11
00
00
00
00
10
00
01
10
01
00
00
10
00
10
10
11
10
01
00
10
00
10
11
01
00
10
00
10
10
10
10
01
00
00
01
10
10
00
00
00
10
11
01
10
11
00
10
10
10
10
00
01
11
00
01
00
01
01
11
10
01
00
10
00
00
10
01
01
11
10
11
10
10
10
00
10
10
01
10
00
00
10
01
00
00
01
10
10
11
10
01
10
10
01
11
01
10
10
00
11
00
11
00
10
11
01
00
00
00
11
00
01
11
10
00
10
11
10
01
00
00
00
00
00
10
00
01
10
10
10
11
01
00
00
00
11
10
00
11
00
01
10
01
10
11
11
10
10
01
01
00
01
10
10
10
00
01
10
10
00
10
00
00
00
01
10
10
00
11
00
01
10
10
01
11
01
11
00
10
10
11
00
11
01
00
10
10
00
10
10
01
00
11
11
00
10
10
00
01
00
11
00
00
00
10
00
10
01
00
10
00
01
10
01
00
10
10
00
10
10
01
00
00
10
01
11
10
11
10
11
01
01
00
00
10
10
00
01
10
10
00
01
10
01
01
10
11
11
00
11
00
00
10
10
00
00
10
10
11
10
00
11
10
10
11
10
10
00
00
00
00
11
10
11
00
10
00
10
10
01
10
11
00
01
11
00
00
10
11
00
01
00
11
11
00
00
00
00
00
01
10
11
10
01
01
10
00
00
01
00
11
11
00
10
10
11
01
10
11
00
00
10
01
10
11
11
00
00
11
00
01
00
10
11
00
00
00
00
11
00
00
00
10
10
10
00
10
11
00
10
00
01
11
00
01
11
10
00
00
00
10
01
10
11
01
10
10
11
01
10
11
11
10
01
00
01
00
10
11
01
10
01
10
10
11
00
00
11
10
00
00
01
01
10
00
00
00
10
01
00
10
00
01
11
11
11
00
00
11
11
00
01
10
00
10
01
00
10
10
10
00
00
10
00
00
10
11
10
10
00
00
10
00
01
10
11
00
11
01
10
01
11
11
00
00
10
00
00
10
00
10
00
01
11
10
10
00
01
10
11
10
00
00
00
10
10
11
00
00
10
10
00
10
10
10
11
00
10
11
11
00
10
00
00
00
00
11
10
00
01
00
01
00
01
10
11
11
11
10
11
00
00
00
10
11
00
10
00
11
11
10
10
10
00
01
00
01
11
10
10
10
11
00
00
10
00
11
10
00
00
00
10
01
00
00
00
10
10
11
00
11
00
00
11
10
11
00
10
11
01
00
10
00
00
10
00
10
11
10
11
01
00
10
10
10
01
10
11
11
10
01
00
00
10
00
00
01
11
11
01
00
10
00
10
11
10
00
00
00
11
00
01
00
00
10
00
11
00
01
10
00
00
10
10
10
11
00
11
01
00
00
10
01
10
00
00
10
10
10
10
00
00
01
11
10
10
01
00
00
01
10
01
01
00
10
00
11
10
10
00
01
10
11
10
10
10
00
01
10
01
10
00
10
01
11
10
10
00
01
00
00
01
01
01
10
11
00
00
01
10
10
10
10
00
10
11
00
10
10
00
10
10
11
01
01
10
00
00
10
11
10
00
01
00
10
10
01
11
10
11
00
10
11
00
01
10
10
11
00
10
11
10
00
00
11
00
10
11
01
01
10
00
11
01
10
11
10
01
00
00
11
10
01
00
11
10
00
01
10
01
00
11
10
10
11
00
01
11
10
00
11
00
11
10
00
00
10
10
00
10
00
10
11
10
00
01
00
10
00
00
10
00
01
10
10
10
11
11
00
01
00
00
10
00
00
00
10
10
01
01
10
11
00
10
10
10
00
00
10
00
10
10
00
00
00
00
11
11
10
01
01
10
10
00
01
11
01
00
00
00
10
11
10
10
01
11
11
00
01
00
11
01
10
01
00
11
10
00
00
10
10
11
01
00
10
00
00
10
00
00
11
10
01
10
01
00
00
01
11
10
11
10
00
11
11
10
10
00
10
01
00
01
00
11
00
10
10
11
00
01
01
00
01
10
10
00
10
10
00
00
10
10
00
00
10
00
00
01
00
10
10
11
10
10
00
10
11
10
00
00
10
11
01
01
01
01
11
00
00
10
11
01
00
10
10
00
10
00
00
10
10
00
00
11
10
10
10
00
00
00
11
11
10
11
11
01
00
00
01
00
11
01
11
10
01
10
11
01
00
00
10
10
01
01
11
00
11
11
00
00
10
11
01
11
11
00
01
10
01
10
11
00
01
00
10
10
00
00
00
10
10
10
01
01
10
10
00
00
01
00
10
00
00
10
00
01
11
00
01
10
10
10
11
10
01
00
10
01
00
11
10
10
00
00
10
10
00
01
00
11
01
10
00
00
00
11
10
10
11
10
00
11
01
01
00
00
00
00
00
10
01
00
11
01
01
00
01
00
11
11
00
11
10
00
00
10
11
00
01
00
11
10
10
00
00
00
00
10
10
00
01
10
01
00
00
00
11
00
00
00
10
10
00
10
01
00
00
01
00
01
11
00
11
00
01
10
00
10
10
00
00
10
10
00
10
01
10
00
10
10
10
10
00
00
10
11
10
01
00
00
10
11
01
11
00
00
10
11
10
10
00
01
11
11
10
11
00
00
11
10
00
01
11
00
10
11
10
10
11
10
01
01
10
00
10
10
10
00
00
11
00
00
11
10
10
00
00
00
11
01
01
11
00
11
01
10
10
00
10
10
01
00
00
00
10
00
10
11
00
00
00
10
00
00
01
00
10
00
10
01
10
10
00
11
01
01
10
11
01
00
00
00
00
11
01
10
11
10
00
00
01
11
00
00
10
00
11
00
00
10
01
00
11
00
10
00
10
00
10
10
01
00
00
00
00
10
00
10
00
10
00
01
00
01
00
00
10
00
00
10
10
01
01
00
00
11
10
01
00
00
10
00
00
11
10
01
00
10
11
10
11
10
10
11
01
00
00
10
11
00
10
00
00
10
10
00
01
11
10
10
10
10
00
10
11
00
00
10
00
01
11
10
01
10
11
10
01
00
11
10
01
10
10
11
00
11
10
10
00
11
10
10
00
11
11
01
10
00
00
01
00
00
01
10
01
10
10
01
00
10
11
00
00
10
10
00
10
10
10
01
00
10
10
10
10
00
00
11
00
10
10
10
10
00
00
11
10
10
00
00
00
01
00
10
00
00
00
10
01
01
11
00
10
00
10
00
10
11
10
10
00
01
00
01
01
00
01
10
00
10
10
10
01
01
10
10
10
11
00
00
00
10
11
01
10
10
10
10
10
01
00
00
00
11
10
10
10
11
10
11
00
00
10
10
00
00
00
00
01
01
10
10
10
11
00
10
00
10
11
01
11
11
00
01
01
10
10
01
10
01
10
10
00
00
01
00
10
10
01
10
00
10
01
10
10
11
11
01
11
11
10
00
01
00
10
01
00
11
10
00
11
10
01
11
01
01
10
01
00
00
10
10
10
00
10
10
00
00
01
10
00
10
10
11
00
01
10
11
00
11
10
00
00
10
00
01
00
10
00
11
00
11
10
01
00
10
11
01
10
10
00
00
10
01
00
11
01
00
00
10
10
01
10
10
01
00
10
11
11
00
00
10
01
10
00
00
00
10
00
10
10
10
00
10
00
01
10
10
00
00
00
00
10
01
01
10
01
10
01
00
00
01
01
00
11
01
00
00
00
10
10
01
10
01
00
10
01
11
00
10
00
01
11
10
00
00
00
10
10
11
10
00
00
10
10
10
00
10
11
00
00
01
10
00
10
10
10
00
00
10
11
01
10
00
00
00
10
00
11
10
01
00
00
00
10
00
11
00
00
10
01
01
01
01
10
00
00
01
11
10
10
00
00
11
00
00
00
10
00
11
10
00
00
01
10
10
10
11
11
11
01
10
11
10
11
00
01
10
11
00
00
00
10
00
10
00
00
00
00
10
10
10
10
00
01
10
10
01
00
01
00
11
00
01
00
11
10
00
10
10
11
00
10
00
11
11
01
10
10
10
10
10
00
01
11
11
00
10
10
10
10
10
10
00
11
10
10
00
00
01
00
11
00
01
00
00
00
00
01
10
10
01
10
01
01
01
10
00
01
11
11
00
10
00
11
01
10
10
10
00
10
00
00
11
11
00
00
00
11
11
10
10
00
01
10
01
00
10
10
00
00
10
00
01
01
10
01
01
00
00
10
00
10
00
00
10
11
10
10
11
01
11
01
10
10
01
10
11
01
00
00
10
01
10
00
01
10
01
10
10
11
00
11
00
10
00
00
01
10
00
01
10
10
00
10
10
10
01
00
10
00
10
10
00
10
01
00
11
01
00
10
00
10
10
00
01
01
10
10
01
10
11
10
00
10
10
10
00
10
10
10
00
10
10
11
10
01
10
00
11
00
00
11
00
10
11
10
01
00
10
11
10
01
00
00
10
10
01
10
00
01
10
01
10
01
10
11
11
11
11
00
00
11
10
10
00
01
10
00
10
01
01
00
00
11
10
10
11
00
10
00
11
11
10
11
01
11
10
11
10
00
11
10
10
01
10
10
10
10
00
01
00
01
00
10
11
11
11
11
01
10
10
01
00
10
10
00
01
01
00
10
10
01
11
11
01
00
00
10
10
11
10
01
11
10
00
11
10
10
01
00
00
10
10
10
10
11
00
11
10
01
00
11
11
10
10
01
11
11
10
01
10
10
01
00
01
01
00
10
01
00
10
11
01
01
10
10
10
11
00
10
00
01
01
10
01
00
00
11
10
00
01
10
11
01
11
10
10
01
00
00
10
01
00
00
10
00
00
01
10
10
10
10
00
11
11
01
10
11
00
10
00
00
00
10
10
01
11
11
01
01
11
10
01
11
10
00
10
11
11
00
00
11
11
00
10
10
10
00
00
11
00
00
00
00
10
10
00
10
11
01
01
10
10
00
11
10
00
11
11
11
10
01
10
01
10
00
00
11
10
00
10
11
10
00
10
01
10
00
01
10
11
00
10
10
10
10
01
01
00
11
10
00
00
01
11
11
00
00
00
10
00
01
00
11
10
01
10
10
00
00
10
00
00
10
00
01
00
10
00
11
00
10
10
10
10
11
11
10
10
01
01
10
10
00
00
00
00
10
10
00
11
10
10
11
11
00
00
10
00
10
01
10
11
01
00
10
11
11
00
10
00
01
10
10
10
11
01
10
00
00
10
10
11
11
00
00
01
11
00
00
11
00
11
11
00
10
00
11
01
00
10
00
10
00
10
00
10
10
11
00
00
01
10
00
00
01
00
11
10
10
00
01
10
01
00
11
00
00
01
00
10
01
10
10
00
11
00
00
00
10
10
01
00
00
00
00
10
00
00
00
11
00
10
10
00
01
11
01
10
11
10
10
10
10
00
10
11
00
10
10
10
01
10
11
10
11
00
00
10
01
01
11
10
10
00
00
10
10
10
00
01
00
00
00
10
10
11
00
01
10
01
00
10
11
00
00
00
10
10
10
00
10
01
00
01
00
10
01
10
10
10
01
00
10
01
00
10
10
10
00
00
10
10
01
10
01
10
00
00
11
10
00
10
00
10
01
01
01
10
01
10
00
01
00
00
10
11
00
10
01
01
00
11
10
01
00
00
10
10
00
00
00
11
00
10
00
10
10
00
00
00
10
11
11
01
11
10
11
00
00
11
10
00
01
10
01
00
10
10
00
00
11
00
01
01
01
11
10
10
00
01
10
00
00
11
00
01
01
10
11
00
10
00
10
10
11
01
10
01
10
10
00
00
00
10
10
00
10
10
01
10
10
10
11
01
10
10
00
11
11
10
10
10
10
00
00
01
01
10
11
00
00
00
10
00
00
00
11
11
01
11
11
00
01
00
10
10
00
00
00
00
10
01
10
00
01
10
00
10
01
00
10
11
00
11
00
11
01
10
00
00
00
11
01
01
10
11
00
01
01
01
10
10
01
00
10
01
10
10
00
10
01
00
01
10
11
00
01
00
01
11
11
11
00
10
10
10
01
00
10
10
01
10
00
01
00
01
10
00
00
00
01
10
01
00
11
01
00
10
10
10
00
11
10
00
01
11
01
00
00
10
10
10
00
00
10
00
01
10
10
10
00
00
10
01
10
10
00
11
00
00
00
11
11
11
10
10
00
00
10
10
00
01
00
00
10
00
10
10
11
00
10
11
11
10
10
00
00
01
00
00
10
00
10
10
00
01
10
11
10
00
10
01
01
11
00
00
10
01
10
11
00
00
00
00
00
11
10
10
00
10
10
01
01
00
10
00
10
10
10
10
00
01
10
00
11
11
10
01
00
11
10
10
01
10
11
01
00
01
10
11
01
10
01
00
10
11
10
01
00
01
10
10
00
01
11
00
11
10
01
01
10
00
11
10
00
01
00
11
00
00
11
11
01
00
10
01
10
00
00
11
01
01
11
10
11
00
10
01
00
10
01
01
11
01
10
11
00
10
11
00
01
11
10
00
00
10
10
01
00
11
11
10
11
01
11
10
10
01
00
00
10
01
10
10
00
00
00
00
11
10
01
10
00
10
00
00
10
10
10
10
10
11
00
10
00
11
00
00
11
11
11
10
01
01
10
10
10
10
00
01
01
10
00
10
10
00
10
00
00
10
01
00
00
10
00
00
01
10
10
00
11
01
10
01
00
00
10
11
10
01
10
10
01
00
00
01
01
11
01
00
11
00
10
10
00
10
01
00
10
00
11
10
10
01
10
00
00
00
01
11
01
10
10
01
10
01
10
01
00
10
10
00
10
11
00
11
10
00
00
10
11
10
11
00
00
01
11
10
00
11
11
11
11
10
10
00
10
01
00
10
10
00
10
10
10
00
00
11
10
00
11
10
01
11
00
01
00
00
00
11
10
10
00
00
01
11
10
00
00
10
01
10
11
10
01
01
11
01
10
11
01
01
10
10
11
00
11
11
01
00
00
00
10
11
01
01
11
01
10
01
10
00
01
10
10
10
10
00
10
00
00
10
10
01
00
10
00
01
10
10
00
10
00
00
01
10
10
10
10
00
00
00
10
00
11
10
00
10
00
10
10
10
01
01
10
11
00
10
10
00
00
01
00
00
11
10
10
01
10
10
01
10
01
10
11
10
11
00
00
10
10
11
00
00
01
10
11
11
11
11
00
01
00
01
10
10
00
00
10
11
10
01
10
00
01
10
10
10
00
01
01
01
10
00
11
10
00
00
10
11
00
00
10
11
01
11
00
10
01
00
10
10
00
10
00
10
00
00
10
10
00
01
10
01
10
10
01
10
10
00
10
10
10
01
01
00
11
10
10
11
11
11
10
00
01
00
11
00
10
10
00
00
10
00
11
11
00
00
00
11
10
00
11
10
00
00
00
11
01
00
11
10
00
10
00
10
01
11
11
10
11
00
00
10
00
01
01
10
10
00
10
00
10
01
10
00
10
00
11
01
10
00
00
01
11
01
10
10
11
01
11
00
01
11
01
10
10
00
00
00
00
00
10
10
01
10
10
00
00
01
10
10
10
10
10
11
01
10
10
10
10
10
10
00
00
01
10
00
01
01
00
11
10
11
00
10
10
01
00
10
10
01
01
01
01
01
00
11
10
00
00
10
11
00
00
00
11
10
01
00
11
00
00
11
10
10
00
11
00
10
10
11
11
10
10
00
10
10
00
00
10
10
00
00
00
10
01
10
11
00
00
10
01
10
10
01
00
00
10
10
00
00
10
10
01
10
11
10
10
10
00
01
10
01
10
10
00
01
10
00
10
10
11
11
00
00
10
00
00
01
00
10
10
00
00
00
11
10
10
00
01
00
10
10
10
00
00
00
10
10
01
01
00
00
00
10
10
00
10
11
00
11
00
00
00
10
00
01
01
11
10
11
10
10
00
00
00
11
11
00
00
00
10
01
10
00
00
10
10
01
10
10
01
10
00
11
00
01
00
10
01
11
10
01
10
10
11
00
00
00
00
10
10
00
11
01
11
11
00
10
01
11
01
01
10
10
11
00
00
11
00
00
10
11
11
01
10
00
01
00
10
00
00
10
10
01
10
10
00
11
00
10
01
00
10
00
00
10
10
00
10
10
01
01
00
01
00
10
10
11
01
00
10
10
00
01
10
00
00
00
10
00
10
10
00
11
00
10
10
11
10
10
11
00
00
11
10
01
11
00
00
10
01
01
11
10
10
11
10
10
01
10
10
00
11
00
11
00
00
11
00
10
00
10
10
11
01
00
11
00
10
11
10
00
00
10
01
10
00
01
11
01
11
10
00
10
10
10
11
01
00
10
00
11
01
10
01
01
01
00
11
10
01
01
10
00
10
10
01
10
11
01
00
00
00
11
00
01
11
10
00
00
10
00
10
10
00
10
00
11
11
10
00
10
00
01
10
11
00
11
10
10
00
00
00
11
00
00
11
10
10
10
10
00
11
00
01
01
10
00
10
10
10
10
10
10
00
10
00
00
01
01
00
00
00
00
00
10
10
10
01
01
10
00
01
11
01
00
00
10
11
01
01
00
11
00
00
10
10
00
01
10
10
10
01
01
11
10
10
01
00
00
00
01
11
00
11
10
00
01
10
11
11
10
00
11
00
11
01
00
11
00
10
00
00
00
00
01
00
01
01
10
00
00
10
10
10
00
11
00
10
00
10
10
00
10
00
01
11
01
10
10
00
10
11
11
10
00
00
01
10
01
01
10
11
00
10
10
11
00
10
10
01
00
10
10
10
00
10
10
00
00
10
00
10
01
10
10
01
00
01
00
00
10
00
10
01
11
11
01
00
01
10
00
01
10
10
00
00
11
10
11
10
10
00
00
01
10
01
00
11
01
00
01
00
11
01
00
00
10
10
01
00
11
00
11
10
00
10
00
01
10
10
00
00
10
10
10
10
00
01
10
00
00
10
11
00
10
00
01
10
10
00
00
10
00
00
10
10
01
00
00
00
10
11
00
00
10
10
11
11
00
00
01
11
10
00
00
10
10
11
01
00
10
11
10
10
00
10
10
10
01
10
10
01
00
00
00
00
10
00
00
10
01
10
11
01
00
01
10
11
00
00
10
11
01
00
01
10
00
00
10
10
11
10
11
11
01
01
10
01
00
00
11
00
10
11
10
01
10
10
01
00
01
10
10
00
10
01
00
00
10
10
00
00
00
10
00
01
01
01
10
10
10
01
10
10
00
10
10
01
00
00
01
10
11
01
10
10
00
11
01
01
00
00
00
00
00
11
10
00
00
00
11
11
00
11
01
00
00
00
10
10
00
00
11
01
01
01
11
00
10
00
11
10
11
00
00
10
11
00
10
10
01
00
00
00
00
10
11
00
00
10
01
10
01
00
01
10
10
00
11
11
01
01
11
10
00
10
11
10
00
11
00
01
10
10
00
10
11
11
00
00
00
00
00
10
11
00
00
10
10
00
10
10
00
10
11
11
10
00
00
01
00
10
10
11
01
10
10
00
00
10
11
11
11
11
00
00
10
10
10
00
00
11
11
00
01
11
00
10
00
01
10
00
01
10
10
10
01
01
10
10
01
00
00
10
00
10
00
11
00
10
00
00
11
01
11
11
01
00
11
10
00
11
11
00
11
00
01
11
00
10
00
00
10
10
00
01
10
11
10
00
10
10
00
10
00
11
00
01
11
01
00
01
01
10
01
10
10
10
00
01
11
10
10
11
11
00
00
01
10
10
01
11
01
00
00
11
00
10
00
01
11
00
00
11
10
10
11
00
00
10
11
01
01
00
00
10
10
10
11
11
00
01
11
10
00
00
10
00
00
10
00
00
10
01
00
00
00
10
10
10
10
11
11
00
01
10
10
10
11
10
10
10
00
10
10
11
01
00
10
10
00
00
00
11
00
10
00
01
00
00
01
10
00
01
00
01
10
00
10
01
11
10
00
01
00
00
10
00
10
11
10
11
01
10
00
00
01
00
00
01
00
10
10
01
00
00
00
10
01
01
00
10
10
00
10
01
00
11
10
01
01
10
10
00
01
10
10
00
00
11
00
10
10
00
00
11
10
10
10
00
01
10
10
01
10
00
11
11
11
00
00
00
00
00
10
10
10
10
10
10
01
10
00
10
11
01
11
01
00
00
10
01
10
01
00
10
10
00
11
00
01
11
10
01
10
11
00
00
10
10
11
00
01
00
11
11
10
11
10
00
00
00
10
10
11
01
10
01
10
10
00
00
10
11
01
11
01
01
00
01
11
11
00
01
10
00
00
11
01
10
11
00
01
00
00
11
01
00
10
11
00
11
11
00
01
10
10
00
10
10
10
10
01
10
10
10
00
00
00
00
00
10
00
00
00
00
10
10
00
10
01
00
11
10
00
00
10
11
11
10
01
11
01
01
10
00
00
10
10
00
00
11
11
11
10
11
11
10
00
10
00
00
00
01
11
10
10
11
00
00
00
11
10
10
10
00
10
00
10
10
01
00
01
10
10
10
10
00
00
00
10
00
00
10
11
10
11
00
01
00
10
01
01
10
01
00
11
01
00
10
00
11
00
00
10
00
11
00
00
11
00
00
11
10
01
01
10
01
00
00
10
10
11
00
11
10
00
00
11
00
01
00
11
01
01
10
00
01
10
10
00
00
01
10
10
10
01
01
11
00
10
00
01
01
00
00
10
10
11
00
00
00
00
10
10
10
11
10
00
11
01
00
00
10
10
11
00
11
10
11
00
10
00
01
11
11
11
00
10
00
10
00
00
10
10
11
00
00
10
01
10
10
00
10
00
00
11
10
10
00
11
01
10
00
11
10
00
00
00
11
10
00
10
00
01
11
10
10
10
10
00
01
00
00
11
11
00
00
11
10
00
00
00
10
11
10
01
00
00
10
10
10
00
10
00
00
10
00
01
01
01
00
10
10
01
10
00
11
10
11
00
00
10
10
11
00
10
10
11
10
00
10
01
01
10
10
00
10
10
10
11
00
11
10
00
10
10
00
01
10
10
10
00
00
10
00
00
11
10
11
11
10
10
00
00
11
00
00
10
10
01
00
10
10
01
01
10
00
01
00
11
00
00
10
10
10
00
01
10
01
00
11
10
01
00
10
11
00
11
10
01
10
10
11
01
01
10
00
00
11
11
00
00
11
10
00
11
00
10
00
00
10
00
00
10
01
11
10
00
11
00
00
00
00
11
11
01
11
10
01
00
10
10
00
00
00
10
10
11
00
01
00
00
00
10
01
00
00
10
10
00
00
00
00
11
11
01
10
01
11
11
11
01
00
01
01
10
11
10
01
00
00
10
10
10
01
10
10
00
10
01
11
00
11
00
10
10
00
01
10
00
00
10
10
11
10
10
00
10
00
00
10
00
01
01
10
01
10
00
01
10
11
00
01
10
11
00
01
11
00
00
10
01
11
00
01
10
00
10
10
00
10
10
00
00
10
10
01
10
00
00
10
01
10
10
10
10
00
10
00
10
00
00
10
00
11
10
11
10
10
00
10
00
10
11
00
00
01
11
00
11
01
11
10
11
00
01
10
00
11
10
00
00
10
11
00
10
10
00
00
11
00
00
10
11
01
10
10
00
00
10
10
10
11
00
00
01
11
01
00
10
01
10
10
00
00
11
10
10
10
10
01
10
11
00
00
00
00
10
10
10
00
10
10
10
10
11
01
01
01
00
01
10
00
10
00
00
10
00
01
11
01
10
10
00
00
11
10
00
00
10
10
01
01
11
11
11
00
00
11
11
01
01
10
10
00
00
11
10
00
00
01
10
11
00
10
00
11
10
01
10
10
10
10
00
00
00
10
00
11
10
00
00
01
01
00
01
10
11
10
11
00
00
10
11
10
00
11
11
10
10
00
10
10
00
10
00
00
11
01
10
00
10
00
11
11
00
01
11
10
11
01
10
10
01
00
00
10
11
10
00
00
11
00
11
10
10
00
00
00
10
00
01
01
01
00
11
10
00
11
10
10
01
01
01
00
00
01
10
01
00
00
10
10
11
01
00
10
01
01
00
10
01
00
00
11
00
00
11
10
10
00
10
11
11
10
00
00
10
10
00
10
01
10
00
11
10
00
00
00
10
11
11
01
00
11
01
00
10
01
00
10
10
11
10
10
10
00
00
00
00
10
00
00
00
10
11
01
00
00
10
00
01
00
10
10
10
00
00
00
10
10
10
11
01
10
00
00
00
00
10
00
11
11
10
00
11
10
00
10
00
10
00
00
11
00
10
00
00
00
00
11
10
10
00
10
00
01
01
11
00
00
00
11
00
11
10
00
01
10
10
00
01
10
01
10
11
10
00
00
00
11
11
01
01
01
10
00
01
00
10
10
10
00
10
11
00
00
11
10
10
01
10
10
01
00
00
00
00
00
01
10
00
00
10
10
10
11
10
01
01
01
10
10
10
10
01
00
00
11
00
10
10
10
00
10
10
10
00
00
11
01
11
00
00
00
10
00
11
01
01
10
00
10
11
11
01
01
00
01
11
10
00
10
00
01
10
11
01
10
00
01
10
11
10
00
11
11
11
01
10
11
10
00
10
01
00
10
10
01
00
10
00
01
10
11
10
10
10
00
00
10
11
00
01
00
11
00
10
10
00
10
11
01
00
10
00
10
10
10
11
00
10
10
00
10
10
00
01
10
10
10
01
11
10
11
00
10
00
01
01
11
00
10
10
00
00
10
10
00
00
10
00
00
11
00
00
00
00
10
10
00
00
10
10
10
01
11
00
00
11
01
11
10
00
00
00
00
10
00
01
10
10
00
10
00
10
10
00
10
00
10
10
00
10
10
00
11
10
01
00
10
10
10
10
01
10
10
00
00
10
11
00
01
11
00
10
00
10
00
00
11
10
00
01
00
10
10
00
10
10
11
00
00
00
00
00
01
10
01
11
00
10
10
01
00
00
10
11
10
00
00
00
10
11
00
00
10
11
00
11
11
00
01
01
10
00
00
10
10
10
00
10
00
11
00
01
10
10
10
01
10
01
00
11
00
00
00
00
11
10
10
11
00
10
00
00
11
10
10
10
01
10
11
00
01
01
11
01
10
11
00
01
00
11
01
00
10
10
00
00
11
10
01
10
01
01
01
11
10
01
01
01
10
10
00
00
10
01
00
11
10
10
00
01
10
11
10
01
00
00
01
11
10
01
10
10
00
10
10
11
01
00
00
00
11
11
10
01
00
00
10
10
11
01
10
10
10
01
01
10
10
01
01
10
01
01
01
01
10
00
10
10
11
00
00
10
10
10
00
10
10
00
11
10
10
01
01
01
11
10
01
00
01
10
10
00
00
00
01
11
10
11
01
11
11
00
01
00
10
11
00
00
10
01
00
01
11
11
10
00
00
10
11
00
00
11
00
00
00
10
00
00
10
10
00
00
01
00
10
00
11
01
00
10
00
11
01
10
10
10
01
00
00
10
10
10
11
00
01
01
10
10
00
10
11
10
01
00
11
11
00
00
10
01
10
11
00
01
10
10
01
10
00
10
10
00
00
10
00
10
00
01
01
10
11
00
11
10
10
00
00
00
10
00
00
10
10
00
10
00
11
10
01
01
10
10
11
00
00
10
10
10
00
11
10
10
01
01
00
11
11
00
00
10
11
10
00
00
11
10
10
00
10
10
10
10
01
01
11
00
00
10
10
00
10
10
00
01
00
01
10
11
00
01
10
10
11
01
00
11
11
00
10
10
10
00
00
11
01
00
00
00
10
10
11
00
10
00
10
01
00
00
10
11
10
10
11
10
10
01
00
01
10
01
01
10
10
10
10
00
11
10
01
10
01
00
11
10
01
00
11
00
00
10
10
10
10
10
00
00
10
10
00
00
10
00
01
01
11
00
10
10
00
00
10
10
00
10
11
10
10
10
10
00
10
00
00
00
01
00
10
10
00
10
10
11
10
01
10
10
00
10
10
01
11
11
01
00
10
00
10
00
10
10
01
10
01
10
10
10
01
10
00
11
11
00
01
10
11
00
00
10
01
10
10
01
00
00
00
01
11
10
10
11
01
00
11
10
00
00
01
10
10
11
00
01
01
10
01
10
10
00
10
10
00
10
10
11
00
11
11
00
10
01
01
10
10
00
10
00
01
10
11
10
01
00
01
10
11
10
01
00
11
01
00
11
11
01
00
00
00
10
00
00
10
10
00
10
10
00
01
00
11
10
00
11
10
00
11
11
00
01
01
01
11
10
01
01
10
11
00
00
10
10
10
00
01
10
01
10
10
11
00
00
00
01
00
11
10
00
10
00
11
11
10
00
00
10
11
11
10
00
00
11
10
00
10
00
10
10
10
10
00
10
00
10
01
11
10
00
10
00
10
10
00
00
10
00
00
10
00
00
01
10
00
10
10
00
10
00
10
11
01
11
01
01
10
00
00
10
00
00
10
11
01
00
00
10
01
01
00
10
01
00
10
11
10
01
10
11
01
01
10
00
00
10
00
00
10
10
10
00
11
10
00
11
01
10
10
00
00
10
10
10
01
01
00
01
01
00
11
10
10
10
10
01
11
01
00
00
00
10
10
00
00
10
10
01
10
10
00
00
01
00
10
10
01
10
10
10
10
01
00
11
00
10
10
01
11
00
01
11
01
10
11
11
00
00
10
10
00
00
10
01
00
10
00
10
10
00
00
00
10
10
11
11
11
01
00
11
00
10
11
11
00
00
10
10
00
10
10
01
10
11
00
00
10
01
10
11
00
00
10
00
10
10
00
10
10
00
11
10
00
10
00
00
11
00
00
01
00
00
10
11
00
11
10
10
10
10
10
00
00
01
10
10
11
00
11
11
11
10
00
01
00
10
10
01
00
10
00
10
00
00
10
00
00
10
11
10
00
10
10
10
10
11
01
00
10
10
01
00
10
00
00
00
11
00
10
00
00
11
00
00
00
11
10
00
10
00
00
00
00
10
01
11
00
10
10
01
10
11
11
10
10
00
00
00
11
11
11
10
11
00
01
00
10
11
00
00
10
11
10
01
10
01
00
10
10
11
01
01
00
10
00
11
10
00
10
10
01
11
10
01
10
10
10
11
00
00
11
00
01
00
10
10
10
00
00
10
11
00
11
10
01
11
10
10
10
11
01
10
00
01
00
00
11
01
11
10
00
10
01
00
01
01
11
10
01
10
11
10
00
00
10
11
01
10
10
00
00
10
00
10
00
00
11
10
10
01
00
11
10
00
01
10
01
10
00
00
00
10
01
10
10
11
00
01
00
00
10
10
00
00
00
11
10
00
11
10
11
10
11
11
00
10
01
01
11
11
00
00
01
10
01
00
00
00
00
10
00
10
10
00
00
10
00
10
00
10
00
10
00
01
00
01
01
00
11
11
01
00
11
11
10
11
01
01
00
01
10
10
00
00
00
10
10
00
00
10
10
10
10
01
00
00
10
00
11
10
01
10
11
11
01
10
10
00
00
11
11
00
00
01
10
10
01
00
10
10
00
10
00
10
00
10
01
00
00
10
00
00
10
11
00
00
01
00
10
11
10
01
10
00
00
11
10
00
00
01
00
10
10
11
10
11
01
11
11
00
01
10
00
01
11
01
10
00
11
00
00
10
00
00
10
00
11
10
01
01
10
10
01
00
00
00
10
00
11
10
00
10
11
10
01
10
10
00
00
11
11
01
01
00
11
10
10
11
10
00
11
10
01
10
10
11
00
00
10
10
00
01
10
11
01
01
10
11
10
00
01
10
00
11
10
01
11
10
01
00
10
00
00
10
01
10
10
00
10
00
10
01
00
11
11
10
00
00
00
00
00
11
10
00
00
01
00
01
00
00
00
11
10
10
00
00
10
10
00
11
00
10
00
10
00
11
00
00
10
11
00
00
10
11
11
00
00
10
11
00
10
01
10
00
11
10
11
11
11
11
01
10
01
01
01
01
10
10
00
01
10
10
01
00
10
01
00
01
10
11
01
11
00
00
10
10
10
00
00
10
10
10
10
10
01
10
00
11
10
10
10
00
10
10
01
01
10
11
00
10
01
01
01
01
11
10
10
10
00
10
10
00
00
11
10
01
10
10
00
11
00
11
10
01
11
00
11
00
00
10
10
10
10
10
00
01
10
00
10
11
10
00
00
00
00
00
10
10
01
11
01
00
00
11
10
00
00
00
11
11
11
10
00
01
00
10
01
00
10
01
11
10
01
00
10
11
00
01
10
10
00
00
10
11
11
11
11
01
00
00
00
00
10
00
00
10
00
10
00
00
00
10
10
11
11
00
00
11
00
11
00
01
00
10
10
00
10
01
00
10
10
00
10
11
10
00
00
10
00
00
11
10
10
11
10
10
01
00
10
10
01
00
00
10
01
01
10
00
10
10
00
10
11
00
10
01
01
01
01
10
00
10
01
10
11
00
00
11
01
11
00
11
10
10
10
10
01
01
11
10
10
00
01
00
01
11
10
01
10
00
00
11
11
01
10
10
00
11
11
10
00
00
00
00
10
00
10
00
10
11
00
01
00
10
00
00
00
11
01
00
00
10
00
00
01
10
10
00
00
00
10
00
00
00
11
01
00
10
00
00
00
11
00
11
10
00
10
10
10
11
00
00
10
10
01
10
01
11
10
10
00
00
10
00
00
10
00
00
10
10
11
10
01
11
01
00
10
10
11
00
00
00
11
10
10
11
00
01
10
01
11
00
00
11
00
00
00
10
10
11
01
00
00
01
10
00
11
11
01
10
10
10
10
00
00
00
10
01
00
10
00
10
00
00
00
00
10
10
00
01
10
00
10
11
11
11
01
10
01
10
00
01
00
11
11
01
10
00
10
10
00
00
11
11
01
11
00
10
00
00
11
00
01
11
10
01
00
11
10
00
01
10
10
00
01
11
01
11
10
00
10
10
11
00
00
01
11
10
01
10
11
10
00
11
11
00
00
01
10
11
01
10
01
11
00
11
10
00
00
00
11
00
00
10
10
10
00
00
10
01
01
01
00
11
00
01
11
11
10
10
10
00
11
10
00
00
11
01
10
10
00
11
10
00
00
10
00
00
00
01
00
10
01
00
01
00
10
10
00
01
01
10
11
10
10
00
00
01
00
01
10
01
00
10
11
00
11
00
10
10
01
10
00
00
10
01
10
00
00
01
10
11
00
00
11
01
10
10
00
10
00
10
00
00
10
00
00
00
11
10
01
00
10
10
10
10
10
10
10
00
01
11
00
10
10
11
10
00
10
00
00
00
10
10
10
01
01
01
00
01
10
10
10
00
10
11
00
11
00
10
01
01
00
01
11
10
00
10
00
01
10
00
01
00
10
00
11
10
00
01
00
01
01
10
10
00
10
10
10
01
00
11
10
10
10
10
11
00
00
00
11
01
00
10
11
11
10
11
01
10
00
00
10
11
10
01
00
00
10
10
10
01
10
11
00
00
00
10
11
01
00
11
10
10
10
00
01
10
11
00
01
10
00
00
11
10
01
00
11
00
00
10
01
00
00
01
10
10
10
10
01
00
10
00
00
00
00
10
10
10
10
00
11
00
00
00
11
10
00
01
01
00
01
10
11
10
00
00
10
10
00
11
01
00
11
10
00
00
10
11
01
11
10
11
00
10
00
11
01
01
10
10
01
10
00
10
10
00
01
01
01
10
11
10
11
10
00
01
11
10
01
11
11
00
00
11
10
00
10
11
01
10
10
00
00
01
01
00
10
10
00
10
10
00
10
11
01
01
00
10
00
01
00
00
10
11
00
01
11
01
10
10
01
00
00
01
00
10
10
00
01
11
10
00
11
00
00
11
00
10
00
10
10
01
11
11
11
10
00
00
00
10
11
01
10
10
10
11
10
00
10
00
00
10
00
10
11
00
00
00
11
00
10
11
00
00
11
10
00
00
10
10
01
10
11
00
00
11
10
00
10
00
10
00
01
00
01
11
10
10
00
01
00
10
10
00
00
10
11
00
11
01
01
10
11
00
00
11
01
10
10
01
00
11
10
00
01
10
10
00
10
00
11
10
00
01
10
10
10
10
10
00
01
10
00
01
00
10
10
01
00
11
00
10
00
11
10
00
00
01
11
10
01
00
00
10
10
10
00
00
10
01
11
00
01
11
10
11
00
10
10
10
00
11
11
01
10
11
00
11
00
10
00
10
00
11
10
01
11
10
10
01
10
00
01
11
01
01
11
00
01
10
00
01
00
10
11
10
10
00
10
00
00
10
11
11
10
00
10
10
00
00
00
00
11
10
00
11
01
01
10
00
01
10
10
10
11
00
00
00
11
10
01
00
00
11
11
00
10
10
00
01
00
10
00
01
10
11
01
01
00
11
01
00
00
00
01
11
00
11
11
00
01
10
00
10
00
00
00
10
10
10
00
10
11
01
00
10
01
10
11
01
11
10
00
10
10
00
00
00
00
11
01
01
11
10
10
10
00
01
11
10
00
11
01
11
00
10
10
00
11
00
10
10
10
00
01
10
01
01
10
01
01
00
10
00
00
10
00
01
00
10
10
10
11
00
00
00
10
10
10
10
10
01
00
00
01
01
10
11
00
10
10
10
01
10
10
00
10
11
00
11
10
00
00
00
10
01
00
10
00
00
00
10
10
01
00
00
01
00
11
00
10
00
01
10
10
00
00
00
00
10
01
10
00
00
11
11
00
11
00
00
10
11
01
10
10
11
11
00
00
11
01
11
11
00
10
10
01
11
00
01
11
00
10
10
00
00
00
10
00
10
10
10
10
00
11
00
00
10
00
00
10
00
11
00
00
10
10
10
00
01
00
11
11
00
00
10
11
01
10
10
10
10
11
10
10
00
01
00
01
00
00
11
00
10
10
00
00
01
11
10
10
10
01
00
01
00
01
11
00
11
10
11
00
10
10
00
11
01
01
10
10
10
00
10
10
01
01
10
11
10
00
11
00
00
11
10
01
11
11
01
00
10
11
00
00
10
11
10
11
01
00
01
11
10
01
00
10
01
10
01
00
10
10
10
00
10
01
00
11
00
00
10
00
00
01
01
11
10
00
00
10
11
11
00
01
10
11
01
01
00
10
10
01
01
10
11
01
01
10
00
01
11
00
00
00
10
10
00
10
00
10
00
00
10
00
10
00
10
00
00
10
01
10
10
00
10
10
11
00
10
10
10
10
00
10
10
11
01
00
10
10
10
01
10
11
00
11
10
01
01
00
00
10
10
00
10
11
10
00
01
00
00
00
00
10
10
01
00
10
00
00
11
00
10
01
10
11
10
11
01
11
00
11
10
00
00
11
10
10
01
00
00
10
01
10
00
00
11
10
10
10
00
10
00
01
00
00
01
10
00
11
10
00
10
11
00
00
11
00
00
10
10
00
10
10
00
01
11
00
00
11
10
01
00
00
11
10
01
10
00
01
10
01
10
11
00
00
00
11
10
00
00
00
11
11
10
01
10
01
10
10
00
10
10
00
10
10
01
00
10
10
00
10
00
00
01
10
01
11
00
10
01
10
11
00
00
10
10
10
00
10
10
01
00
01
00
10
10
10
10
10
00
00
01
10
00
01
00
00
11
10
01
00
10
00
10
00
00
00
10
10
11
01
10
10
10
00
10
10
00
10
00
10
10
10
01
11
11
00
00
10
11
10
00
00
11
10
00
01
01
10
10
10
00
10
10
00
11
10
01
01
10
11
10
00
00
10
10
00
10
00
00
01
10
10
00
00
11
00
10
01
00
10
01
01
10
10
01
01
10
11
11
01
10
10
00
00
00
10
01
01
01
11
00
10
00
01
10
01
00
00
00
00
10
10
11
00
10
01
11
11
01
11
11
10
10
11
10
00
00
10
11
10
10
10
00
11
10
10
00
01
00
01
11
10
10
00
01
10
10
10
01
00
00
11
01
10
10
10
00
00
10
10
10
00
00
11
11
11
01
01
00
00
00
10
11
10
00
00
10
00
10
11
10
10
00
10
00
01
01
10
01
01
10
01
10
00
10
10
00
00
10
00
11
01
00
10
01
10
10
10
11
00
01
00
01
00
11
00
11
10
00
11
10
11
00
00
01
10
11
11
10
00
00
00
10
11
00
11
10
00
10
01
00
11
11
00
10
10
01
10
10
00
00
11
10
01
11
10
10
11
00
00
01
10
00
10
00
10
00
10
10
01
00
01
01
11
10
10
01
00
10
10
10
01
00
10
00
10
11
10
11
00
10
10
00
11
11
01
01
10
00
00
10
01
10
00
11
00
00
10
11
11
11
10
00
00
01
10
00
00
11
01
11
01
00
01
10
10
00
01
11
10
10
10
11
10
00
01
10
01
00
00
01
00
10
01
00
10
11
10
00
11
00
00
01
10
00
11
11
11
10
11
00
10
11
00
11
00
10
10
11
01
01
00
10
00
00
00
00
10
11
00
01
11
11
00
10
10
01
00
01
11
11
10
00
10
10
10
00
00
10
10
10
10
11
11
10
10
10
01
10
10
00
11
01
00
01
00
10
10
01
00
01
10
10
01
10
00
10
00
10
10
00
10
00
10
10
00
00
01
01
01
00
00
11
10
00
00
10
10
10
00
10
11
10
00
01
11
01
00
11
10
10
00
00
00
11
11
00
00
00
01
10
00
00
11
00
10
01
10
01
10
00
00
00
11
10
01
10
10
00
10
10
00
00
10
10
10
01
01
00
01
11
10
10
11
10
10
00
01
10
11
01
01
11
11
00
00
00
01
10
10
10
00
10
00
00
00
00
11
00
01
10
00
10
11
00
01
10
00
00
10
00
00
00
01
00
10
00
00
11
00
00
10
00
00
10
00
10
01
10
11
01
10
00
00
00
01
11
10
10
11
00
10
10
01
00
00
00
10
00
01
00
10
11
10
00
10
10
01
00
10
10
01
00
11
11
11
00
00
01
11
10
01
01
11
10
00
10
00
00
10
00
01
11
11
10
10
01
00
00
00
01
10
11
01
01
00
01
10
01
00
10
10
10
01
00
00
10
00
10
10
00
00
10
11
00
01
10
10
00
01
10
10
00
10
01
01
00
10
00
01
10
11
10
01
01
11
11
10
00
00
11
11
11
11
00
01
00
01
00
01
10
01
00
10
01
11
10
01
10
10
10
11
00
10
10
01
01
00
11
10
11
00
00
10
11
00
00
00
10
01
11
11
11
00
10
10
00
00
00
11
11
01
01
00
01
00
10
10
01
00
10
01
01
11
10
10
00
01
00
10
01
00
01
00
00
01
00
00
10
11
11
11
11
11
10
01
00
01
00
00
00
11
00
00
11
01
10
10
00
01
10
10
11
10
01
10
10
01
01
10
00
11
00
11
10
10
00
01
11
10
10
10
10
01
01
00
11
10
01
01
00
10
00
01
10
01
00
10
00
10
01
10
00
01
11
00
10
00
00
01
01
10
10
10
00
00
01
01
00
10
10
10
11
00
00
10
11
11
01
01
11
01
10
01
00
00
10
11
01
00
11
11
01
10
11
10
10
00
00
00
10
00
00
10
11
10
10
10
00
00
10
10
00
11
01
10
11
00
11
11
10
00
11
00
00
00
10
11
01
01
01
10
00
11
00
10
00
00
10
10
10
10
10
00
00
10
10
01
00
10
11
00
01
10
11
00
01
11
11
10
00
10
11
01
01
11
10
00
00
00
00
11
01
00
01
11
11
10
00
10
11
00
10
00
00
00
11
10
00
00
10
11
01
01
10
01
10
00
00
01
00
10
00
10
10
00
00
01
11
00
00
10
00
00
00
10
10
00
01
00
01
01
11
10
10
00
00
10
10
11
00
00
11
00
10
10
00
11
00
00
11
10
00
10
11
01
01
10
10
10
01
00
01
10
00
11
00
10
11
10
00
00
00
10
00
00
11
11
00
10
10
00
00
11
00
01
10
11
00
01
11
11
01
01
01
10
11
00
01
00
00
10
10
01
01
01
11
10
11
01
11
00
10
10
01
00
10
01
00
01
11
10
01
10
00
00
10
10
11
11
01
10
11
10
11
00
00
10
10
01
00
01
11
11
10
10
01
00
10
10
01
00
10
10
10
01
10
11
00
10
00
10
11
11
00
00
10
10
10
10
00
01
11
10
10
10
00
00
11
00
10
11
10
10
10
11
01
10
11
00
00
10
00
00
00
00
10
00
10
10
10
10
10
11
10
11
01
00
01
10
00
10
10
01
01
00
10
00
00
00
01
00
00
10
01
00
00
01
01
11
11
11
01
11
10
00
00
11
00
11
10
00
00
11
00
10
11
01
01
10
11
10
00
00
11
00
00
00
10
01
01
10
00
00
10
00
01
10
00
10
10
11
01
11
01
10
10
10
00
10
10
01
01
01
00
00
10
01
10
10
00
00
00
00
10
11
01
00
10
11
11
00
00
01
10
11
11
01
10
10
01
00
00
11
10
00
00
10
00
10
01
10
11
00
00
10
10
00
10
11
10
01
01
10
10
01
10
11
10
00
00
00
11
10
11
00
00
11
00
01
11
00
00
00
10
11
00
01
11
10
00
10
11
00
00
10
00
01
01
00
00
10
10
00
01
11
10
11
01
00
00
00
00
00
01
10
11
00
01
00
11
00
00
00
10
00
00
00
10
00
00
10
00
01
10
00
00
00
10
11
10
10
01
00
01
10
00
01
01
11
10
00
00
00
00
00
00
10
00
00
00
11
11
01
00
10
10
00
10
00
00
10
10
11
10
01
10
11
01
10
10
10
01
10
01
00
11
11
00
11
00
10
10
01
11
10
00
01
00
11
01
00
10
01
01
10
00
00
11
10
10
00
10
10
10
00
00
00
00
00
00
10
00
00
10
10
00
00
01
10
10
10
00
00
11
10
00
01
00
00
01
01
11
10
10
10
10
00
00
10
10
11
00
10
11
11
11
10
01
00
10
00
10
10
11
01
01
01
00
11
00
00
11
10
00
10
11
00
10
11
01
00
00
10
10
00
00
10
11
00
10
01
10
00
11
11
00
01
00
10
11
00
00
00
10
10
01
00
10
10
01
01
11
11
01
00
00
10
10
10
01
01
10
10
00
10
00
10
10
00
00
00
11
10
11
01
11
11
00
00
10
01
01
10
10
00
00
10
00
00
00
10
11
11
10
00
10
01
11
10
10
10
00
10
00
11
01
10
00
00
00
01
00
10
10
11
10
01
00
00
10
10
00
01
01
10
11
00
10
00
00
11
01
00
11
00
11
10
00
01
11
10
00
00
10
00
00
11
10
00
00
10
00
00
10
10
00
00
00
01
00
01
10
00
00
01
00
00
01
00
10
11
11
10
11
10
00
00
11
01
10
11
00
10
10
10
10
00
01
10
00
00
10
10
10
00
10
00
00
10
10
11
01
10
00
00
01
11
00
00
11
10
11
10
00
00
00
10
11
00
00
01
10
11
01
11
10
01
00
10
10
10
00
01
11
10
10
01
10
00
10
10
00
11
10
00
10
11
10
00
00
10
11
01
01
00
10
00
01
00
10
00
00
10
10
00
10
00
10
11
00
10
11
01
00
10
10
11
10
00
11
10
10
10
01
10
10
10
00
01
10
11
00
00
11
10
01
11
11
01
00
00
00
00
10
00
00
10
11
11
01
00
11
11
11
11
01
01
10
10
01
10
10
00
00
01
01
10
00
00
10
00
00
11
11
00
10
00
10
00
00
10
00
10
00
01
10
11
00
00
10
11
01
00
10
01
01
00
00
11
11
11
10
00
10
00
01
10
10
00
10
00
00
01
01
00
00
10
00
10
01
10
11
10
01
00
10
01
10
11
00
00
10
11
00
01
01
11
01
00
00
10
10
01
01
11
10
00
11
00
10
00
00
10
00
00
00
10
00
00
00
00
00
10
10
10
01
01
11
00
10
00
10
10
11
01
01
11
01
00
10
10
10
11
10
01
00
11
01
00
10
11
00
11
11
10
00
01
10
10
10
10
00
10
10
00
00
00
00
10
00
00
10
10
00
00
11
00
00
00
01
11
00
00
00
11
11
11
00
10
10
10
00
00
10
00
00
00
00
11
00
10
11
11
00
01
00
10
10
10
11
10
10
01
00
10
10
01
10
11
01
10
10
10
00
10
11
00
10
11
00
00
11
00
00
00
00
11
10
01
01
00
01
11
00
11
11
01
10
00
01
01
11
11
11
10
00
00
00
11
10
00
00
00
01
00
10
10
10
10
01
01
00
10
00
00
11
11
10
10
11
10
00
01
01
10
11
11
01
00
00
10
00
10
11
00
11
00
01
00
01
01
00
00
10
00
11
11
10
11
11
01
00
00
10
01
00
10
01
11
10
00
10
00
10
01
01
00
10
00
10
11
10
01
01
00
11
00
00
11
10
11
10
00
00
01
00
00
10
11
11
11
10
10
01
01
11
00
10
11
10
10
01
01
00
11
10
10
11
00
01
00
11
10
00
10
00
10
11
10
01
00
10
10
10
10
10
00
01
01
00
01
01
11
00
10
10
11
00
00
01
10
10
01
10
10
01
11
00
10
11
00
00
00
00
10
00
00
10
01
01
10
00
10
10
00
01
10
10
10
10
00
00
11
10
01
00
10
00
00
10
00
00
10
00
11
00
01
00
00
10
01
10
00
11
11
10
11
00
00
01
11
10
10
01
00
00
11
11
10
11
00
00
10
01
00
11
00
00
11
00
01
10
00
11
00
01
11
00
11
00
00
01
10
11
01
10
00
10
10
01
00
10
01
00
11
10
00
11
10
00
00
01
10
01
10
00
10
10
11
00
00
11
00
00
10
00
00
00
01
01
10
10
00
00
10
00
10
10
10
10
10
10
10
01
11
10
00
10
00
01
10
00
01
01
10
11
00
10
10
10
00
10
00
00
01
10
10
00
00
10
10
10
01
00
00
01
11
11
00
10
10
11
10
01
10
00
01
10
11
10
00
11
11
00
01
11
11
01
11
00
01
00
00
10
10
01
10
10
10
10
01
00
11
10
00
10
00
01
00
10
10
10
11
10
10
01
00
10
10
10
00
00
11
00
10
01
01
00
01
10
10
11
00
10
11
01
01
01
00
10
11
10
11
01
01
10
10
00
10
11
00
10
01
00
11
10
01
10
00
11
00
11
00
00
00
11
00
01
11
01
00
01
01
10
11
11
11
00
11
10
10
10
00
10
00
00
11
01
10
00
10
10
01
10
01
11
00
00
10
00
01
10
11
10
01
00
00
11
10
00
00
00
10
10
11
01
00
00
10
11
00
10
00
10
10
10
01
01
00
10
10
01
01
10
11
01
10
11
00
01
10
00
00
00
10
00
10
10
00
00
01
10
11
10
10
10
00
01
10
10
10
10
10
10
00
00
00
01
10
10
10
01
00
10
10
00
10
00
01
11
01
11
00
00
11
00
00
00
10
00
00
11
10
01
00
10
00
10
10
10
01
00
11
11
10
00
01
10
10
00
00
00
00
10
10
01
10
10
00
00
10
01
00
10
00
01
10
10
10
10
00
10
00
01
00
00
10
11
00
01
10
01
00
10
11
01
00
11
10
00
00
10
10
10
01
00
11
10
11
00
10
10
00
10
10
00
00
11
11
00
01
10
11
00
10
00
00
10
10
11
01
01
10
11
10
10
10
00
00
00
00
11
10
00
10
10
10
10
10
10
10
00
00
10
10
11
00
01
00
10
00
00
11
00
10
10
11
01
01
10
10
00
10
10
01
10
10
10
10
00
10
11
10
10
00
00
10
10
00
00
10
00
11
11
00
01
11
01
00
01
10
00
00
11
11
01
01
10
10
10
10
10
01
00
11
00
00
10
10
10
10
10
01
11
01
11
00
00
11
10
11
00
00
11
00
10
00
00
11
00
00
00
01
11
10
10
00
11
00
11
00
10
11
10
01
11
00
01
00
00
10
01
00
10
11
10
10
10
10
01
00
01
00
10
10
10
10
01
00
10
01
11
00
10
11
11
10
01
00
01
00
00
10
10
01
11
10
00
11
10
10
10
01
00
00
11
10
11
01
01
11
10
00
00
10
11
00
01
10
11
00
01
10
01
00
11
10
00
10
00
10
10
01
10
10
00
10
10
00
10
01
00
10
01
00
01
00
10
10
10
00
01
10
10
00
00
00
11
10
00
00
01
00
10
00
11
10
00
11
01
01
11
10
00
00
00
10
01
01
10
00
00
01
00
11
00
00
10
10
11
00
10
10
00
10
00
00
00
00
10
11
01
00
00
00
01
10
01
11
10
00
01
10
00
10
00
01
00
00
11
11
00
01
01
10
10
00
00
00
01
11
01
11
11
10
11
00
10
10
01
00
11
01
00
10
10
00
11
00
10
11
00
10
10
01
00
01
00
11
11
10
11
10
01
11
10
00
10
10
01
00
11
10
01
00
10
11
00
00
11
10
01
10
10
10
10
00
11
11
00
10
10
00
01
00
11
01
00
10
11
01
00
10
00
10
00
00
00
01
00
10
10
00
01
10
11
10
10
00
10
01
10
00
00
01
11
10
00
11
10
10
10
11
10
10
00
00
00
00
01
11
01
00
01
11
11
10
00
00
10
11
00
00
10
01
00
10
00
01
10
10
10
11
00
00
00
00
10
10
00
01
00
11
10
10
00
00
10
01
10
10
00
10
00
00
10
11
10
00
10
11
00
00
11
01
00
11
00
00
10
00
01
11
10
00
00
01
10
00
00
01
10
11
00
10
10
10
00
10
10
00
10
11
11
00
01
00
00
11
01
00
00
10
10
00
00
01
11
11
00
10
00
11
01
00
00
00
11
11
01
11
10
00
00
00
01
00
10
00
11
11
01
00
01
11
00
10
10
00
11
11
00
10
10
01
10
10
01
00
00
10
01
01
00
10
10
10
00
10
11
00
00
01
10
01
00
00
10
00
10
00
11
10
10
10
00
11
00
01
11
01
10
10
00
00
11
10
00
10
10
10
10
10
00
00
10
10
01
01
10
10
11
11
00
11
00
00
00
00
11
10
10
11
01
00
10
10
00
11
10
11
10
11
10
10
00
00
00
00
10
10
11
10
00
11
00
10
10
00
10
01
10
00
10
00
00
10
10
10
11
10
01
10
00
11
00
10
10
00
01
00
11
11
10
00
10
11
10
00
01
10
00
10
00
00
10
10
10
00
10
10
11
10
01
00
00
10
11
00
10
00
00
10
11
00
11
10
10
10
00
01
00
11
10
01
01
10
01
00
00
10
10
01
11
11
00
10
10
10
00
10
00
00
11
10
00
00
01
00
10
00
11
10
01
10
00
01
00
00
01
01
10
11
00
11
11
00
00
10
10
11
00
00
10
10
00
10
10
11
00
10
11
10
01
01
00
00
10
10
10
10
00
00
10
00
01
10
10
01
00
00
10
00
11
10
00
00
10
10
10
10
01
11
10
10
10
00
10
11
01
00
10
01
11
10
11
00
01
11
11
01
10
10
01
00
00
10
10
00
01
00
11
01
10
11
10
10
00
00
10
00
11
10
01
00
11
10
11
10
00
00
00
00
01
00
10
10
10
01
01
00
11
01
10
11
10
01
10
00
01
00
01
11
00
11
01
10
00
01
11
00
10
01
10
10
11
01
00
00
10
00
00
10
10
01
10
11
11
00
00
00
10
11
00
01
10
00
01
11
10
00
01
10
10
11
00
00
10
01
00
11
11
00
10
10
01
01
01
01
10
01
11
10
10
00
00
10
11
01
10
11
10
10
11
00
10
01
00
01
00
10
00
00
00
10
01
00
00
01
00
01
00
01
10
11
10
11
11
10
00
00
10
10
11
01
01
00
00
01
00
00
01
10
10
11
01
11
11
00
10
11
11
10
00
00
10
01
11
00
10
10
00
10
00
11
11
00
10
10
00
00
11
11
00
11
10
11
10
10
10
01
00
00
11
01
10
10
01
00
11
11
00
10
10
11
00
10
10
00
00
00
10
10
10
01
00
10
00
10
00
10
00
10
00
00
10
00
00
10
10
10
00
00
10
10
00
10
01
10
01
11
10
00
01
11
00
10
11
11
01
00
00
01
00
10
10
11
00
10
01
11
10
10
10
01
00
10
01
00
10
00
00
10
11
10
01
11
11
00
10
10
10
00
01
10
10
10
11
10
11
00
01
00
11
11
01
00
10
01
00
01
10
00
00
10
10
10
00
01
01
11
10
10
00
10
01
10
10
00
01
00
11
00
10
10
11
01
01
10
00
10
10
10
11
00
00
00
11
10
10
00
11
00
11
11
11
11
00
10
01
10
10
00
00
10
00
00
10
00
01
00
11
00
01
10
10
10
00
11
10
01
00
01
10
00
00
11
10
00
00
10
10
00
00
01
00
00
10
01
01
00
00
10
00
10
00
10
10
11
00
11
01
00
00
10
00
01
10
01
10
00
10
11
10
01
10
10
11
11
00
10
00
00
11
10
00
00
10
11
00
00
10
10
00
10
10
00
00
00
10
00
01
00
00
10
00
00
11
00
00
00
00
11
10
11
11
00
00
10
11
01
01
10
10
00
00
10
11
00
00
00
01
10
01
11
10
00
01
10
10
00
00
11
11
00
00
10
10
11
01
11
00
00
00
11
10
00
10
10
10
10
01
00
00
10
01
10
10
10
11
00
00
10
01
11
01
01
11
10
00
10
01
11
11
10
00
10
11
10
00
00
10
10
01
10
11
11
01
01
11
10
10
00
00
01
10
11
00
11
11
00
00
10
01
10
00
00
11
11
10
00
00
11
10
11
01
01
10
01
00
01
01
00
10
10
11
01
00
11
10
01
00
10
00
00
11
00
11
10
01
00
00
10
00
00
10
10
00
10
10
10
00
00
11
01
11
10
00
00
10
00
01
10
10
01
01
11
11
10
01
00
00
10
10
00
01
10
11
00
01
11
11
00
00
10
00
10
11
11
00
00
00
10
10
00
10
00
11
01
11
10
00
01
00
11
10
10
01
00
00
10
10
00
00
10
10
00
01
10
00
11
00
11
10
10
00
01
00
10
11
00
10
11
10
01
10
11
10
10
01
01
00
10
00
01
11
01
10
01
10
11
11
10
00
01
00
10
11
01
10
10
00
10
00
10
01
01
01
10
11
01
11
01
00
11
10
10
10
00
01
11
10
00
00
11
11
10
11
00
00
10
10
00
00
10
11
01
00
00
11
00
11
00
11
00
00
01
10
01
00
00
11
11
00
00
01
11
11
11
10
10
00
00
00
00
10
11
01
11
10
10
11
01
10
11
00
00
10
00
10
10
01
00
10
00
01
00
10
00
10
11
10
01
00
10
00
10
00
10
00
10
11
01
10
01
11
10
01
01
00
10
10
00
11
00
10
00
00
11
01
10
10
01
00
11
01
11
01
00
10
10
00
00
00
11
10
10
00
00
01
00
01
11
01
10
10
10
10
00
00
11
10
01
11
00
10
00
11
00
00
00
10
01
10
11
00
10
11
01
00
11
00
00
11
00
10
10
00
00
00
11
00
10
10
11
01
11
00
00
00
11
01
00
10
11
10
10
11
11
01
10
10
00
00
00
11
00
01
11
00
00
10
11
00
11
11
11
10
00
10
10
01
00
11
11
10
01
00
01
10
01
01
00
00
10
01
00
10
11
01
11
10
00
11
10
00
11
11
01
00
11
10
00
10
01
10
10
00
01
01
10
01
01
00
10
00
11
11
10
01
10
11
00
00
10
11
10
01
01
10
11
00
11
11
00
00
00
10
10
01
00
00
10
11
01
10
00
10
10
00
00
00
10
00
10
10
01
11
10
00
00
00
00
00
01
11
10
11
01
00
11
11
00
00
10
10
00
01
11
01
10
00
01
01
00
11
11
00
10
10
00
00
00
10
00
10
11
11
11
01
01
01
00
01
11
00
00
11
00
00
00
10
01
11
00
10
10
10
11
00
00
00
00
10
10
01
10
11
10
10
10
01
10
10
01
11
01
11
01
10
10
11
01
11
10
00
01
10
10
00
11
11
00
00
10
11
00
11
00
00
11
00
00
00
11
10
10
10
11
10
00
00
00
10
11
00
00
10
11
11
00
11
10
00
01
10
10
11
01
01
11
01
11
00
00
10
10
10
00
00
01
10
11
11
10
11
10
00
00
10
10
10
10
00
00
00
11
11
00
10
01
00
00
01
10
11
01
10
01
00
01
10
10
10
10
10
00
10
10
11
00
10
00
00
11
10
10
10
11
10
11
00
11
01
00
11
11
00
10
10
01
10
10
00
00
00
10
00
10
00
01
10
01
01
10
00
10
01
11
10
00
10
10
10
10
00
10
00
01
10
01
00
10
10
01
00
00
10
11
11
00
11
00
11
01
01
10
11
01
01
11
00
00
00
10
10
11
10
11
10
11
00
11
00
01
10
00
11
11
01
01
01
11
00
01
10
00
10
11
00
01
10
11
00
00
11
11
00
00
10
10
10
10
00
00
00
10
00
01
10
01
01
10
00
00
00
10
01
00
10
01
00
11
01
00
00
11
10
00
10
10
11
10
01
10
10
10
10
11
11
00
01
10
10
00
01
11
11
01
10
01
10
01
11
00
00
10
00
01
10
11
10
00
01
10
00
01
01
11
01
10
00
10
10
00
10
10
00
00
01
10
10
00
00
11
11
00
00
01
00
10
01
00
10
10
10
11
00
10
10
10
00
10
00
10
10
00
00
10
11
11
10
10
11
00
11
10
00
10
01
00
10
01
00
11
10
11
11
10
00
00
11
00
00
11
10
11
00
10
01
00
00
10
00
10
11
10
00
00
10
00
10
10
00
00
00
00
10
00
00
00
11
10
10
00
11
01
10
10
01
01
11
01
01
10
00
00
01
10
10
00
10
00
01
01
10
11
00
00
11
01
00
10
10
11
01
00
01
10
10
10
10
00
00
00
10
10
10
10
01
00
01
10
00
00
11
10
10
00
10
00
00
11
01
11
00
11
00
00
00
01
11
11
11
00
10
01
00
00
11
00
00
10
10
10
00
10
10
01
11
10
01
10
10
00
00
00
10
00
00
00
10
10
00
10
10
00
10
00
10
00
00
11
00
00
10
00
00
00
00
10
00
00
11
00
11
11
01
11
00
00
10
00
11
10
01
10
01
00
00
00
10
01
10
01
01
00
00
00
01
01
10
11
11
00
11
00
01
00
11
10
00
00
11
10
00
00
10
11
01
00
01
01
00
00
11
00
01
00
10
10
00
00
10
11
00
11
10
00
11
00
01
10
10
11
01
00
10
10
00
11
10
00
00
11
10
10
11
00
00
10
10
01
00
11
10
10
10
10
00
01
00
10
11
01
10
00
01
10
10
11
00
00
00
00
10
10
11
00
01
10
10
10
10
10
00
00
10
01
01
10
11
10
00
01
10
11
00
00
10
00
00
00
01
00
00
00
11
11
00
10
10
01
00
10
10
01
00
00
00
10
00
01
00
00
00
10
00
10
10
01
10
00
00
00
11
00
00
00
00
10
11
00
00
00
00
10
10
11
11
10
01
00
11
00
01
11
01
00
10
00
11
10
10
10
00
00
10
00
00
10
11
10
10
00
10
11
01
00
00
11
10
00
10
11
10
10
00
00
11
00
10
00
00
00
01
10
11
10
10
10
10
00
11
10
10
00
00
11
00
11
01
11
10
10
00
00
10
10
10
00
01
00
10
10
00
01
11
00
00
01
10
10
01
11
11
01
00
00
01
10
10
01
10
10
00
00
00
00
00
10
00
00
01
11
00
00
00
10
10
01
11
00
00
10
00
10
10
10
00
11
10
10
10
10
00
00
00
10
01
10
10
01
01
00
11
01
01
11
00
11
00
00
11
01
10
11
00
01
01
10
00
00
10
11
11
00
00
01
10
01
01
10
10
00
00
00
00
10
01
00
10
10
01
10
00
11
11
00
01
10
10
00
10
11
00
10
10
11
11
01
11
10
00
00
00
01
00
11
10
11
11
01
01
00
10
10
00
11
11
00
00
10
00
11
11
10
00
01
01
00
10
10
00
00
11
10
00
10
10
01
00
11
11
11
00
00
00
10
00
01
11
01
11
10
00
10
00
10
10
00
10
10
00
00
10
11
11
10
00
11
00
10
10
11
00
00
00
11
10
00
00
01
11
10
11
10
00
01
10
00
01
10
10
00
00
00
10
10
10
01
00
11
10
11
11
11
11
11
10
11
10
00
01
11
11
01
00
11
11
01
11
00
01
11
01
01
00
10
11
00
00
10
00
00
10
10
10
00
00
10
10
00
10
10
00
00
10
10
11
00
10
11
10
01
00
01
11
10
01
11
11
00
01
01
01
00
11
10
00
10
00
01
10
11
00
10
00
00
00
10
00
00
10
00
10
01
01
00
11
10
11
11
00
01
00
01
11
00
01
01
01
01
00
11
00
10
00
01
10
11
01
10
11
10
00
10
01
10
01
00
10
11
00
00
10
11
00
10
01
00
10
10
01
10
10
00
10
10
00
00
00
00
00
01
10
10
00
10
10
00
00
00
01
10
01
01
10
11
11
11
00
00
11
10
00
10
11
00
00
01
10
10
10
11
01
10
00
01
01
10
10
00
00
10
11
00
01
11
11
11
11
10
01
10
10
00
10
11
00
10
11
11
10
01
10
00
01
01
10
11
00
00
10
10
01
10
10
00
01
00
10
11
10
00
10
10
00
10
01
00
11
10
01
00
10
00
11
10
00
00
10
10
10
00
00
00
10
10
00
10
10
00
01
00
10
10
10
00
00
10
01
00
10
00
11
00
11
11
00
00
10
10
00
01
10
01
11
11
10
00
00
00
10
10
10
01
01
11
00
00
00
10
10
00
00
10
01
00
11
01
10
10
00
00
10
00
00
00
00
11
00
10
01
01
00
00
10
10
10
01
11
00
01
11
11
00
11
10
00
00
11
11
00
00
10
00
00
00
11
10
11
01
11
00
01
10
10
10
00
01
00
01
10
00
10
00
00
00
10
01
01
11
01
00
00
10
11
10
00
00
10
00
00
11
10
10
10
10
11
01
01
00
00
10
10
10
10
00
00
10
00
01
10
11
00
00
10
11
10
10
11
00
10
00
00
00
00
01
10
00
00
10
11
00
10
10
00
00
11
10
11
00
00
10
00
10
10
00
00
00
01
10
10
10
01
10
10
01
01
10
01
10
10
01
10
10
10
00
00
00
10
00
10
00
11
00
10
10
10
10
01
10
01
11
10
10
11
01
01
10
11
10
01
10
00
01
10
11
00
00
01
11
00
00
00
00
10
10
00
10
00
01
10
10
00
11
00
00
00
11
11
00
11
00
00
10
11
00
10
10
10
10
01
10
01
00
10
10
10
01
10
10
01
10
00
00
00
01
10
00
00
10
10
11
11
01
01
11
10
00
01
11
10
01
00
10
01
01
10
00
00
00
00
10
11
00
01
10
11
11
01
10
00
00
00
00
01
11
11
00
11
11
10
11
00
11
10
11
00
00
10
10
01
00
00
10
01
10
00
10
11
00
00
10
11
11
10
01
11
11
00
10
00
01
11
11
10
01
00
10
00
10
00
01
10
11
01
11
00
10
00
00
11
10
10
00
01
01
01
10
11
00
10
10
10
11
00
01
10
11
01
00
10
00
00
10
00
10
01
10
01
00
10
10
00
11
10
10
01
01
00
00
11
10
01
01
10
00
00
11
10
10
00
00
01
00
00
10
00
00
11
00
10
11
10
00
11
00
10
11
10
10
11
10
00
00
01
01
01
00
11
10
00
10
10
11
10
00
00
00
11
00
00
10
00
10
11
00
01
11
01
01
10
10
00
00
10
01
00
10
10
10
10
11
10
11
10
10
00
00
10
10
10
00
11
11
11
00
10
00
10
00
00
10
10
11
10
10
01
01
00
01
00
10
10
01
00
00
10
00
00
00
10
10
00
01
10
00
00
10
11
00
00
10
01
10
11
01
00
01
10
10
00
01
10
00
00
10
10
00
00
10
10
11
01
01
10
10
10
00
00
00
11
10
10
00
01
10
11
00
00
00
10
10
11
11
10
10
00
00
11
00
10
11
00
11
00
00
10
10
01
01
10
11
01
11
10
00
01
10
00
00
00
10
00
10
00
00
10
11
00
00
10
01
00
10
01
00
10
11
11
00
00
11
00
01
00
00
00
11
10
00
11
10
01
10
10
00
10
00
00
11
10
00
00
00
10
11
10
11
00
10
10
00
00
00
00
01
00
01
01
10
11
10
00
11
10
00
11
10
00
00
00
10
00
00
10
10
00
10
10
11
00
00
10
00
00
00
10
01
01
11
10
01
01
10
00
00
10
10
00
00
11
01
01
10
00
00
00
10
00
11
11
00
11
10
01
00
00
10
10
00
00
10
10
00
10
01
00
01
01
11
00
11
00
00
11
11
10
10
01
00
00
11
10
10
10
10
10
01
00
10
10
01
00
01
10
01
10
10
10
01
01
00
10
11
00
00
01
01
11
10
00
10
00
10
10
10
00
00
00
01
10
11
11
10
00
00
00
10
00
01
00
11
10
00
11
11
10
00
10
10
10
01
01
10
11
10
00
10
10
01
00
01
10
00
01
11
10
11
10
01
00
10
01
00
00
10
10
00
00
10
01
01
10
10
10
00
00
00
00
10
10
10
00
00
10
11
01
10
00
10
01
01
00
11
11
00
00
00
01
11
00
01
11
01
10
10
01
01
00
00
10
10
10
10
10
00
01
10
11
00
00
11
00
01
00
10
11
10
11
10
11
00
10
10
00
01
10
10
01
11
00
01
01
00
00
11
10
11
10
10
10
00
01
10
10
00
01
00
00
01
10
01
00
00
01
01
10
10
11
00
01
11
00
10
10
00
00
01
10
01
00
11
10
01
00
11
10
00
00
11
00
01
10
01
10
10
10
11
01
00
10
11
01
01
00
10
10
01
11
10
11
10
10
00
00
10
10
10
10
01
00
00
11
11
00
10
11
01
01
00
01
00
11
00
11
10
01
00
11
10
01
11
10
00
00
10
10
00
11
00
00
10
11
10
01
01
10
10
10
10
10
00
00
11
00
00
11
10
10
01
11
10
00
11
00
01
11
01
10
10
01
00
01
00
11
10
11
10
00
11
10
00
00
11
00
10
11
00
01
01
01
10
11
00
01
10
11
00
00
11
10
11
00
11
01
00
11
00
11
11
10
00
01
00
10
10
10
01
00
10
11
11
01
10
10
00
01
10
10
00
01
10
11
10
11
01
01
00
10
00
10
10
00
00
00
00
10
01
11
10
10
01
11
10
10
11
01
11
10
01
11
11
11
00
10
11
00
00
10
10
00
10
10
11
10
00
11
00
10
10
10
01
01
10
01
10
01
10
01
10
11
10
10
00
00
00
10
00
01
10
00
10
10
10
00
01
01
10
00
10
10
10
01
01
10
10
00
10
10
00
00
10
11
00
01
10
10
10
00
00
11
10
00
01
10
00
00
00
10
01
00
10
10
01
10
10
01
10
11
00
00
00
11
11
01
10
01
00
01
00
10
00
01
00
11
01
01
00
10
00
00
10
10
11
00
01
10
11
10
00
00
00
10
10
10
00
11
11
00
10
00
10
10
00
00
10
11
11
00
10
00
10
10
00
00
10
10
01
10
00
01
11
10
00
01
11
11
10
10
01
10
11
00
11
00
11
11
00
01
10
01
00
00
10
11
01
10
10
01
00
00
00
10
10
00
00
10
00
11
11
00
01
00
10
00
01
00
10
11
00
01
00
10
10
10
00
01
00
11
11
10
00
01
01
10
10
00
10
10
00
11
10
01
10
00
11
00
10
10
00
01
11
10
10
00
00
00
00
10
10
00
00
00
11
01
00
10
10
10
00
11
00
01
00
01
00
10
00
00
10
10
10
00
00
00
10
10
00
00
01
10
00
10
10
00
01
10
10
11
01
00
00
10
01
01
11
01
10
10
10
10
01
00
00
01
10
10
00
11
11
01
00
10
00
01
10
11
10
10
11
01
00
01
11
00
00
10
00
01
01
10
10
10
01
11
01
01
11
11
10
01
00
00
11
10
00
10
10
00
01
01
11
01
00
11
01
00
11
00
10
11
00
01
01
10
10
00
01
11
10
00
00
10
00
10
01
10
11
00
00
10
10
00
00
00
11
01
11
10
10
01
01
00
10
10
00
11
10
00
00
00
00
10
01
11
10
10
00
10
10
11
00
00
11
01
11
11
01
00
10
11
00
10
10
11
00
01
00
11
00
00
10
00
10
11
01
01
11
10
00
01
10
01
00
11
10
10
10
01
00
10
00
00
11
11
00
00
10
10
11
01
11
10
11
01
00
10
11
01
00
10
10
00
00
10
11
10
01
11
00
10
01
00
01
10
10
10
10
00
00
00
10
00
01
00
00
11
10
01
10
00
10
00
00
10
11
01
11
11
10
11
11
00
01
10
10
00
00
10
10
10
00
00
00
11
10
00
11
10
10
00
11
10
10
11
00
01
11
10
10
00
00
10
10
11
01
01
10
11
01
11
11
11
00
01
11
00
00
00
10
11
10
00
11
11
00
00
11
10
00
00
00
00
10
11
00
10
01
01
01
11
10
01
00
00
00
10
00
01
10
00
00
00
00
01
10
11
11
11
10
01
11
10
01
01
00
10
10
10
10
00
00
01
11
01
01
10
00
00
10
00
10
00
01
11
00
10
10
00
00
10
00
01
10
00
10
00
10
10
11
10
10
10
00
00
00
01
10
10
01
00
00
10
10
00
00
11
11
11
00
10
00
00
00
11
11
01
10
10
10
00
11
10
01
00
10
10
00
11
00
01
10
01
10
10
00
00
00
00
10
11
00
00
10
01
00
01
00
10
01
10
10
11
10
00
00
11
11
10
10
00
01
10
00
00
10
00
11
00
01
10
10
00
01
00
11
01
00
10
00
00
10
10
00
10
11
00
11
10
10
01
00
11
11
00
00
11
10
00
10
11
00
01
10
10
10
10
00
01
10
10
00
00
11
01
11
11
00
10
11
00
00
10
11
00
01
10
10
10
01
10
00
11
10
10
00
10
10
01
11
10
00
01
01
01
11
01
01
11
01
10
10
10
10
10
10
10
01
00
10
00
01
00
10
10
11
00
00
11
10
11
11
00
00
00
10
10
10
01
10
01
10
11
00
11
01
10
00
01
00
10
11
00
11
10
10
00
00
00
11
01
00
00
00
10
10
10
00
01
00
10
00
01
11
10
00
00
10
00
01
10
10
00
10
00
10
00
00
00
10
10
01
10
11
00
01
10
00
10
10
10
10
10
00
11
10
10
01
10
01
00
10
10
00
11
11
00
00
01
01
00
01
11
11
10
10
00
11
00
10
10
00
10
00
01
00
00
10
01
10
11
01
10
10
10
11
10
11
00
00
00
10
01
00
10
00
01
00
11
01
11
10
00
10
01
10
10
00
00
10
01
01
10
00
00
00
00
00
00
10
00
00
00
11
00
00
01
10
01
10
01
10
11
00
11
01
10
00
01
11
01
11
10
11
00
00
00
10
11
00
01
10
10
10
11
00
01
10
10
00
00
10
00
00
10
10
01
10
11
00
10
01
10
10
00
11
10
10
11
01
11
00
00
00
11
11
01
10
11
00
00
10
10
00
01
11
10
00
01
10
01
00
10
00
01
10
10
00
01
11
10
01
00
01
10
10
00
10
00
00
00
10
10
01
01
00
11
10
00
10
10
10
11
01
01
00
10
00
01
01
00
10
10
00
10
10
01
10
11
01
10
11
11
01
10
00
01
10
01
00
01
10
11
00
10
00
01
11
10
10
01
10
01
10
00
10
10
10
01
11
00
00
00
10
01
00
01
00
11
01
01
11
00
01
10
00
01
10
11
01
01
11
00
10
00
00
10
00
00
11
11
10
10
10
10
11
01
00
00
10
11
00
11
10
00
11
10
11
10
01
00
01
10
10
00
01
00
10
00
11
10
00
10
00
00
11
00
11
00
01
11
00
00
00
10
10
01
01
00
00
10
10
00
10
10
00
00
00
00
11
10
00
10
00
01
00
10
11
00
11
00
00
10
00
00
11
01
01
00
10
00
10
01
10
00
01
11
10
01
00
11
01
00
10
11
10
01
01
11
00
01
10
00
00
10
10
00
00
11
00
00
00
10
01
01
00
01
00
10
10
10
00
10
11
00
00
10
10
00
10
01
00
00
11
11
11
00
11
11
00
01
11
01
01
11
10
00
01
00
00
11
10
11
01
10
11
00
10
00
00
10
10
10
00
10
10
00
00
01
00
00
00
10
01
10
10
00
00
10
10
01
10
10
01
10
10
10
10
00
01
00
11
00
11
11
10
00
10
00
00
11
01
10
10
00
00
10
10
11
11
01
00
10
10
01
10
01
01
11
10
11
01
11
01
00
10
11
00
00
00
01
00
00
11
10
10
10
00
11
10
11
11
01
10
00
11
01
00
11
01
10
10
10
00
00
01
11
10
01
10
10
00
00
11
11
00
00
11
00
00
00
01
10
00
10
00
00
10
01
01
11
10
10
11
10
01
01
10
11
01
10
01
11
10
00
00
00
11
11
01
00
00
10
01
00
11
10
01
00
01
10
10
00
01
00
10
00
00
10
10
10
10
00
10
00
01
11
11
00
00
10
01
01
00
00
10
10
10
00
10
00
10
10
00
00
11
11
11
11
10
00
10
01
01
00
00
10
00
10
10
01
00
00
10
10
01
00
00
10
11
10
10
10
10
00
00
01
10
10
00
00
11
00
11
10
01
01
10
01
10
10
00
11
11
11
10
00
00
10
00
10
11
00
00
10
11
00
01
00
10
11
10
01
01
11
10
01
00
10
10
00
11
11
00
01
01
10
10
00
11
00
10
10
00
01
10
11
10
00
00
11
10
00
01
11
00
01
00
01
00
10
11
10
01
00
10
11
10
00
01
11
10
00
00
00
10
01
01
11
10
00
00
10
11
00
00
10
10
00
11
11
10
00
01
11
01
00
01
00
01
10
01
10
10
00
00
00
10
01
01
00
01
00
10
00
00
10
10
01
01
10
00
01
11
01
01
00
01
10
01
01
11
10
00
01
10
10
00
00
10
01
10
00
00
10
11
10
00
00
00
10
00
11
10
00
11
10
00
11
10
01
11
11
11
10
10
00
10
00
00
11
00
00
10
01
11
10
00
10
00
10
10
00
00
01
10
00
10
01
10
10
10
00
00
10
01
01
01
01
10
10
10
01
01
11
10
00
00
10
10
00
11
10
00
00
00
00
01
10
10
00
11
00
01
01
11
10
11
10
00
00
10
10
01
00
10
00
01
10
00
01
11
10
10
10
00
11
01
00
11
11
10
10
10
00
11
10
10
00
00
11
00
11
10
00
00
10
00
00
10
10
10
01
10
10
00
01
01
00
11
11
10
10
01
10
00
00
10
10
11
00
11
00
01
00
01
10
01
10
10
10
00
00
10
11
00
10
11
00
11
00
00
10
00
01
00
10
10
00
01
00
10
00
01
10
00
10
10
01
00
10
10
00
10
00
10
10
01
10
00
01
10
11
10
10
01
10
00
00
00
10
01
00
00
00
10
10
10
10
00
10
00
00
01
10
10
00
01
11
01
10
00
10
10
01
11
01
10
10
00
00
10
00
01
10
01
00
00
01
10
01
00
00
11
10
10
10
00
01
10
01
00
00
01
01
01
10
10
00
00
00
10
01
00
11
10
10
11
10
11
10
00
00
10
01
10
00
01
00
00
10
11
10
01
10
10
00
00
11
00
10
10
01
00
10
01
10
11
10
00
00
01
00
10
00
00
00
10
10
10
11
00
01
00
00
10
10
10
00
10
01
00
10
01
10
11
00
00
10
01
10
11
10
00
01
10
00
00
10
10
00
11
11
00
00
00
11
10
10
01
10
10
00
00
01
00
01
10
01
10
01
00
10
00
01
11
11
10
00
00
01
11
10
11
01
11
10
00
00
10
00
01
10
00
00
10
10
00
10
00
00
11
10
10
00
01
10
11
00
10
01
10
00
00
10
11
01
00
11
00
00
11
10
00
00
01
11
01
10
10
00
10
01
10
00
11
10
10
00
00
11
10
10
01
00
10
10
11
00
00
00
00
10
00
10
01
00
00
11
10
00
11
11
00
01
11
11
10
10
00
00
11
10
00
10
11
00
00
10
10
10
00
00
00
10
00
10
01
11
10
10
00
10
11
00
10
10
00
11
10
10
00
00
01
00
11
00
00
01
11
10
01
00
00
10
00
10
10
10
00
10
00
00
10
01
10
01
11
00
00
00
10
10
00
11
10
10
11
10
11
10
11
00
01
01
00
10
11
00
10
10
10
10
00
00
01
00
10
00
00
10
11
10
01
01
10
00
00
11
01
10
10
10
00
00
10
00
11
10
00
00
00
00
10
00
10
10
01
10
10
00
00
10
01
00
01
01
10
00
11
01
00
01
10
01
01
11
00
00
00
00
00
10
00
00
11
00
00
00
10
11
01
00
11
01
10
10
00
01
10
11
01
01
01
10
11
10
10
00
11
10
01
10
10
00
10
10
10
11
00
11
11
10
01
00
10
01
00
11
00
10
10
00
10
10
00
00
11
11
01
10
00
00
00
00
01
11
01
10
11
00
00
11
00
11
10
01
10
00
01
01
00
00
00
11
11
01
00
00
10
01
10
10
01
10
11
10
10
00
00
01
00
11
10
01
01
10
00
00
11
10
01
10
10
00
11
00
01
10
01
10
11
10
00
00
10
00
00
00
11
01
01
10
10
01
00
01
00
10
10
00
01
11
11
01
11
00
10
10
10
00
10
10
11
11
10
00
01
11
01
11
01
01
10
11
01
01
11
00
10
01
00
10
01
11
00
11
00
10
00
10
11
00
00
10
10
00
01
11
10
11
10
00
00
00
10
00
00
10
10
00
00
01
01
01
00
00
00
00
10
01
00
11
00
01
11
00
00
10
11
00
00
01
10
11
10
01
00
10
01
10
00
01
10
00
10
11
00
01
11
00
10
10
00
01
11
10
11
00
01
11
10
00
00
00
10
10
10
01
00
01
10
00
10
00
10
00
10
10
00
00
10
00
10
10
11
01
11
11
10
00
01
10
11
01
00
10
10
00
10
00
10
10
10
00
00
11
10
10
00
10
10
10
00
00
01
00
01
00
11
10
00
00
11
10
00
10
11
11
11
01
00
11
00
11
11
01
01
11
01
00
11
01
11
10
10
00
00
00
10
00
01
10
11
00
00
01
01
10
00
00
00
00
11
10
10
10
00
10
10
00
00
10
11
00
10
10
00
10
10
10
10
00
00
10
11
00
01
01
00
10
10
00
10
01
00
10
00
10
11
00
10
11
10
00
11
01
00
00
01
00
10
01
11
00
10
01
00
00
01
10
00
00
00
00
10
10
10
11
10
00
10
11
00
10
11
00
00
11
11
00
10
11
10
00
00
10
00
10
10
00
00
00
11
00
01
10
10
10
10
10
00
10
10
11
01
00
00
11
00
00
01
00
00
11
01
10
10
00
10
10
00
10
11
10
00
10
11
00
10
00
00
10
00
11
00
10
10
11
11
00
10
01
10
01
01
00
10
11
01
10
00
00
01
10
01
11
11
00
01
00
00
01
10
01
00
00
11
10
00
01
10
11
10
00
01
11
10
10
10
00
00
00
01
10
11
11
00
11
01
01
11
11
01
00
01
00
00
10
10
01
10
00
00
01
00
11
00
10
10
10
00
10
10
00
00
10
00
10
10
01
11
11
00
10
01
00
10
11
10
00
00
01
11
00
01
10
00
10
10
10
00
01
10
01
01
11
10
11
00
01
11
00
11
00
11
01
10
11
01
00
00
10
11
00
10
00
00
01
00
11
10
01
11
00
10
01
10
00
10
10
01
00
11
10
00
11
10
00
00
10
10
11
00
10
01
01
10
10
00
00
11
10
10
00
10
00
00
00
01
00
10
11
11
10
10
01
01
10
00
01
11
10
01
11
01
10
10
01
00
01
10
10
10
00
10
01
11
00
00
10
01
01
00
11
10
00
01
00
01
00
11
10
00
10
11
11
00
10
10
10
01
01
11
01
00
10
00
11
10
10
00
00
00
10
11
00
00
10
11
10
11
11
00
00
10
00
01
11
11
11
00
00
11
10
10
00
00
00
10
10
10
10
00
11
10
10
00
10
10
00
10
01
00
00
00
10
00
00
00
10
11
00
01
10
10
11
10
10
00
01
10
00
00
11
00
11
10
10
10
00
10
00
00
00
11
10
01
10
00
10
11
11
01
00
11
00
10
10
00
10
11
11
00
00
00
10
01
11
00
10
10
00
10
11
10
01
00
10
00
10
01
11
11
01
11
11
00
10
10
01
00
00
01
10
01
01
00
11
10
10
00
10
10
01
01
10
10
00
10
10
00
10
01
00
10
00
10
00
11
00
01
00
10
10
00
01
01
00
11
10
10
01
11
10
11
01
01
11
00
00
00
01
10
00
00
10
10
00
11
10
00
00
01
10
11
11
01
10
00
00
11
11
01
11
10
00
00
00
11
10
10
01
10
11
00
00
00
10
10
01
10
10
11
00
00
10
10
10
01
00
11
10
10
00
00
01
10
11
01
00
00
10
00
01
11
11
10
00
10
01
10
00
00
00
01
00
10
11
10
00
10
10
11
00
01
10
00
00
10
11
10
00
00
00
10
10
00
00
00
10
10
10
10
00
00
10
00
11
00
11
10
00
11
11
00
11
00
11
10
01
10
00
10
01
01
10
01
00
01
11
11
10
00
01
01
00
10
11
00
10
00
00
00
10
00
10
11
11
10
00
11
10
01
10
01
10
10
00
00
01
10
00
00
10
10
10
00
10
10
10
01
11
11
00
00
00
01
00
10
00
00
10
11
10
10
11
00
00
11
11
00
11
11
10
10
01
10
10
01
01
10
00
00
00
10
01
00
11
00
10
00
00
10
11
00
00
00
11
00
00
10
10
10
00
11
11
10
01
10
11
00
00
10
10
01
10
01
01
00
10
10
00
11
11
01
10
11
00
00
01
10
00
00
10
10
10
10
10
10
10
00
11
10
10
00
11
11
01
11
01
00
00
11
10
10
01
00
10
10
00
00
10
01
00
00
01
10
11
10
00
00
00
10
11
00
10
00
10
10
10
00
00
01
00
10
00
11
10
01
00
10
11
00
11
11
00
00
00
00
00
00
10
10
10
10
01
01
10
11
10
00
00
00
10
00
00
11
01
11
00
00
00
00
10
10
00
10
10
00
00
00
00
10
10
00
11
01
00
00
11
01
01
10
11
01
11
11
01
01
01
10
11
10
00
00
10
11
00
10
10
01
10
01
10
00
00
01
10
01
00
11
10
00
00
00
00
11
00
10
10
01
00
01
10
11
00
10
10
01
10
10
11
01
00
11
01
00
11
11
10
01
00
10
10
10
01
01
00
10
10
01
01
10
10
01
00
11
00
00
01
11
00
10
00
00
00
11
01
10
00
01
00
00
10
00
11
10
10
10
11
00
10
00
01
01
11
10
10
01
00
10
00
01
10
11
00
00
10
11
10
00
00
10
10
10
00
10
10
01
10
10
11
10
11
10
00
00
01
10
00
10
11
00
00
10
00
00
11
00
00
01
10
00
00
10
00
10
00
01
01
10
10
10
10
00
00
11
10
10
00
00
10
00
11
00
10
11
10
10
00
10
00
10
01
10
00
10
11
01
00
11
10
10
00
00
00
11
10
10
01
10
10
01
11
10
01
10
00
10
01
00
11
10
01
01
11
11
00
01
10
10
00
01
11
11
00
00
00
10
10
01
10
10
10
00
00
00
10
10
10
01
00
00
10
00
11
01
00
10
01
01
00
10
10
00
00
10
00
10
01
11
10
00
00
10
11
10
01
00
10
10
00
00
10
11
00
10
11
00
10
00
01
11
10
01
01
11
10
01
10
10
01
01
01
11
10
10
10
00
00
10
11
00
11
01
10
01
00
00
10
00
00
00
00
10
00
10
10
01
00
10
00
10
00
10
11
00
01
11
11
10
10
10
10
00
00
10
11
01
00
00
00
01
10
11
00
01
10
11
10
00
01
10
10
10
01
00
10
11
00
10
10
00
11
10
01
00
10
10
01
10
01
01
10
10
00
10
00
10
01
00
10
00
10
10
00
00
10
10
11
10
01
00
01
00
10
10
00
11
00
00
10
10
00
00
01
00
11
11
00
10
10
01
00
00
10
01
10
10
01
01
10
00
11
10
11
00
00
01
00
11
10
10
00
11
10
11
00
00
10
01
11
00
10
10
01
00
01
10
10
00
10
10
00
00
10
11
10
11
10
00
00
11
01
10
00
00
01
01
10
00
10
00
10
01
10
10
10
00
01
00
01
00
01
11
00
10
11
00
00
01
10
00
00
10
10
11
00
10
01
00
00
00
10
00
00
10
00
00
11
01
11
01
10
00
10
11
10
00
00
00
00
11
10
11
10
00
11
11
10
00
01
00
11
11
01
11
00
10
10
00
00
00
00
10
11
10
10
10
10
00
00
00
10
10
01
01
11
01
10
10
10
11
10
11
10
01
00
10
00
00
00
10
01
00
00
00
10
10
01
01
10
10
01
01
00
00
11
10
01
01
00
00
10
10
10
10
11
10
01
10
01
00
00
10
10
00
00
11
10
11
00
10
00
00
10
10
00
00
00
10
00
01
11
11
01
00
10
10
01
11
01
00
11
11
10
00
11
01
10
10
01
11
11
01
01
10
11
00
10
10
00
01
11
10
11
11
01
01
00
00
00
00
00
10
11
11
10
10
11
01
10
00
10
10
01
01
00
10
10
10
00
10
00
00
00
11
01
11
10
11
00
01
11
00
00
10
10
10
10
01
11
11
01
00
10
11
01
10
10
01
00
10
00
01
11
00
01
00
00
01
01
01
00
01
11
00
01
10
10
00
10
11
11
00
01
10
00
11
01
00
11
11
00
01
11
01
00
11
10
11
00
01
00
10
11
00
00
11
11
00
00
00
10
10
00
00
00
10
10
00
10
11
11
10
00
10
01
11
00
00
01
10
11
00
11
11
00
10
10
11
11
00
00
00
01
01
00
00
10
00
11
10
10
01
11
10
10
11
01
01
00
10
10
11
11
01
00
10
10
01
10
00
10
10
00
11
11
00
11
10
01
01
11
00
00
00
11
10
00
10
10
01
11
11
00
00
00
10
01
10
11
01
10
00
10
11
10
10
01
10
00
00
01
00
11
10
11
00
10
00
01
00
11
10
01
10
10
10
00
10
11
00
00
00
11
10
11
00
11
01
10
10
10
00
00
11
00
10
01
00
01
01
00
00
00
00
10
11
10
10
11
00
11
01
00
11
10
00
10
00
10
11
11
10
10
10
10
10
10
01
00
01
01
01
10
01
10
10
00
00
00
00
00
10
10
00
11
00
11
10
10
00
00
00
00
11
11
10
11
00
01
00
11
10
00
01
01
11
10
10
00
00
00
11
10
00
00
11
10
10
11
00
00
11
01
11
10
00
10
10
00
10
00
00
10
01
01
00
10
10
00
11
00
00
10
10
00
00
00
11
01
10
00
01
01
00
10
01
10
01
00
00
01
10
10
10
00
01
00
01
10
00
01
00
11
01
10
11
10
11
10
01
01
10
01
00
10
11
00
00
00
11
10
01
01
00
10
01
10
11
10
01
01
10
00
00
00
11
10
00
10
10
00
11
01
00
10
10
10
00
01
10
10
00
11
01
00
00
10
10
00
10
00
11
01
01
00
10
10
00
11
10
00
00
11
10
11
10
00
11
00
01
01
10
10
00
00
00
11
10
10
10
00
11
00
01
01
01
10
00
10
10
00
00
11
11
11
01
00
01
10
00
10
10
00
01
10
10
01
11
10
01
10
11
00
01
10
01
00
11
01
00
10
10
11
00
10
10
00
00
01
10
11
00
10
10
10
10
10
00
00
11
11
10
00
00
00
10
10
00
01
10
01
00
00
00
00
10
10
00
00
10
10
10
01
01
10
10
11
00
01
10
11
01
11
00
01
00
10
11
00
00
10
11
01
10
10
11
00
10
11
01
11
11
00
11
00
00
00
10
11
00
01
01
10
11
01
10
01
10
10
00
10
11
01
01
10
00
00
00
10
11
00
00
10
00
10
00
10
11
00
11
01
00
01
11
00
00
11
10
00
10
11
00
10
00
00
01
10
11
01
01
11
01
00
01
11
00
10
10
01
00
10
11
10
00
00
10
00
10
10
01
00
10
11
01
00
10
01
00
01
11
10
11
00
01
10
10
01
00
11
10
10
00
01
10
10
10
00
10
10
10
10
10
11
00
10
00
00
00
10
10
01
11
10
11
10
10
00
01
11
00
00
00
00
11
10
00
00
10
11
00
00
10
00
11
10
10
00
00
11
00
00
10
00
01
01
00
10
10
00
00
00
10
10
10
00
00
11
10
10
10
01
11
10
10
00
10
10
10
00
00
00
10
11
01
01
00
10
11
11
10
00
00
11
11
01
10
10
01
00
11
10
00
00
00
01
11
00
00
00
11
00
00
10
11
10
00
01
00
00
10
00
01
11
10
00
00
11
10
00
00
10
10
00
11
00
01
01
11
01
01
10
10
00
01
10
11
00
00
00
10
00
00
00
11
00
00
11
10
10
10
00
00
10
10
00
00
00
01
10
11
01
01
10
11
10
10
11
00
00
11
10
00
00
00
10
10
01
11
11
00
00
01
00
00
00
11
10
10
10
00
00
01
10
00
00
10
10
11
10
00
10
10
10
11
01
01
10
01
00
01
10
10
00
01
10
00
00
10
10
11
00
01
00
10
10
00
10
11
10
00
01
11
10
00
01
00
10
00
10
11
11
00
00
00
10
10
10
00
00
00
10
10
10
10
10
11
10
00
00
00
00
00
00
11
01
10
10
00
10
00
10
11
01
10
00
00
11
01
10
11
11
10
01
00
11
10
10
00
00
11
10
10
00
10
11
10
00
01
11
00
00
01
10
01
01
10
00
00
01
10
11
10
11
00
00
01
10
10
01
01
10
10
00
01
01
00
10
01
00
01
10
10
00
00
01
01
11
11
10
00
00
00
10
10
00
00
10
11
10
11
00
01
11
11
01
10
00
10
10
00
10
10
10
10
01
00
10
11
00
01
10
11
00
01
10
10
01
00
10
10
01
00
10
10
01
01
00
10
11
11
00
10
00
00
01
00
10
11
00
10
11
10
00
01
11
10
00
00
10
10
11
00
00
01
00
10
10
10
00
10
10
00
10
10
10
01
11
00
01
10
11
10
00
00
11
01
01
10
00
01
10
11
10
01
10
00
11
10
01
01
10
00
00
01
01
10
01
11
01
11
01
01
10
01
10
11
00
00
10
00
00
10
01
00
00
01
11
00
01
00
10
10
11
00
00
00
10
10
01
00
11
10
10
00
11
00
00
01
10
10
00
00
00
11
11
00
10
11
00
10
11
00
00
00
10
00
01
00
10
10
01
00
11
00
00
10
00
00
10
10
10
10
01
00
10
00
11
00
00
10
10
10
00
11
00
11
10
10
01
00
00
11
11
00
00
10
10
11
01
00
00
11
10
00
00
10
10
00
11
00
10
10
00
10
00
10
10
10
00
10
00
00
00
11
10
00
10
10
00
10
10
00
10
01
00
10
11
11
10
11
01
11
10
10
00
11
00
11
11
00
10
00
01
00
10
10
01
10
10
00
01
00
10
01
00
10
11
01
10
10
01
10
00
10
01
00
11
01
11
10
01
00
00
11
00
10
10
00
00
00
00
11
11
11
10
10
10
00
01
01
00
11
01
11
01
00
10
10
00
10
11
01
11
11
00
00
10
10
10
00
00
10
01
00
10
00
11
11
10
10
00
01
01
00
10
10
10
10
10
10
00
00
01
00
10
01
01
10
11
00
10
10
10
10
01
01
00
00
11
00
01
10
00
10
11
00
00
10
10
01
00
10
10
10
00
01
00
01
10
10
00
00
00
10
11
10
10
10
11
00
00
00
11
00
10
00
10
10
00
10
00
00
10
00
10
10
00
01
01
01
00
00
10
00
11
00
00
10
10
00
01
10
00
10
10
00
00
01
10
10
00
01
01
10
10
11
11
11
10
00
01
00
10
10
11
01
01
00
10
11
10
01
00
10
01
10
10
00
00
01
11
01
10
11
10
01
00
10
00
00
01
11
01
00
10
10
10
10
10
01
00
00
00
00
00
11
00
01
00
01
01
10
10
00
00
10
10
00
10
01
11
10
10
00
01
11
10
00
00
10
01
11
11
10
00
10
00
01
10
00
00
00
11
11
11
00
00
10
10
00
10
10
00
01
00
00
11
11
00
10
10
01
10
10
01
01
10
11
10
11
00
00
10
00
00
10
11
00
01
11
00
10
11
11
01
10
11
10
01
01
10
00
01
10
10
10
01
10
01
10
10
10
00
01
10
01
10
00
00
00
11
00
10
10
01
11
11
01
10
00
00
11
01
00
10
10
01
01
10
00
01
00
01
00
10
11
00
01
00
00
10
00
00
00
10
11
00
10
00
00
10
01
01
10
10
00
00
00
01
10
00
01
10
10
10
10
00
11
10
00
00
01
11
10
00
10
00
00
10
10
11
00
01
00
00
00
00
01
00
10
10
10
00
00
00
10
10
10
10
00
10
00
10
10
00
00
00
00
01
10
00
01
00
10
10
00
10
00
10
11
01
00
00
00
10
00
00
11
11
11
01
00
11
01
10
10
00
00
00
00
10
10
10
11
00
01
00
00
10
01
00
01
10
10
01
00
10
11
00
01
00
00
01
10
10
00
10
10
01
10
01
00
11
10
01
00
11
10
10
10
01
01
10
00
00
11
10
10
00
10
10
00
00
00
10
10
01
11
01
00
11
00
10
01
10
11
00
00
11
00
01
01
00
10
10
10
10
00
01
10
10
10
00
10
01
01
00
10
10
00
00
10
10
00
10
11
11
10
10
01
10
00
00
11
10
00
00
01
11
00
10
10
00
11
10
01
01
01
00
00
10
11
01
00
10
11
01
00
10
10
00
10
11
10
00
01
10
00
10
01
11
10
00
00
01
00
00
00
01
10
11
01
11
11
00
01
10
00
10
00
00
00
11
10
00
01
01
10
11
00
00
10
10
10
01
01
11
10
00
00
00
00
10
01
10
10
11
10
10
10
00
00
10
10
11
01
10
00
10
10
00
11
11
00
01
00
11
00
00
00
10
10
01
00
00
01
00
00
10
10
01
10
10
00
11
10
11
00
10
10
00
00
01
01
10
01
00
11
10
01
00
11
01
00
00
01
11
00
11
00
11
01
00
10
11
01
00
11
00
00
11
00
10
10
10
00
01
01
11
11
01
10
11
10
01
00
11
10
11
01
00
01
10
10
00
10
10
00
01
10
11
11
10
10
00
01
00
01
10
01
10
00
10
10
00
00
00
11
10
00
00
00
11
10
10
01
00
00
01
10
10
11
11
10
00
10
00
10
10
11
00
01
01
10
00
00
10
10
00
00
10
01
10
00
01
00
01
00
01
11
01
00
11
10
00
11
10
00
01
00
11
11
01
00
01
00
01
10
11
10
00
01
10
00
00
10
10
01
00
10
10
01
00
11
00
01
00
10
00
00
10
00
11
11
00
10
00
00
10
01
01
11
01
10
00
10
00
10
11
00
11
10
00
00
10
01
00
10
01
00
00
00
10
10
01
10
10
10
11
00
11
00
00
00
11
11
00
00
10
11
11
00
11
00
01
00
01
10
10
00
10
11
11
01
01
00
11
11
01
10
11
00
01
10
11
10
00
10
10
00
01
10
00
00
10
10
00
00
10
10
00
01
01
01
10
00
00
00
00
10
10
10
00
10
00
10
10
00
00
10
01
01
10
10
00
01
00
01
00
11
10
11
00
01
01
01
10
10
10
10
00
00
11
10
00
00
10
10
00
00
01
10
10
00
10
10
10
11
00
10
10
01
10
10
01
00
01
01
00
10
10
10
00
11
11
00
01
10
10
11
00
00
01
10
01
00
11
00
00
00
10
01
10
10
00
10
11
10
10
10
10
01
00
00
10
10
11
00
11
01
01
01
01
00
01
01
11
10
00
00
10
01
00
10
10
00
00
11
10
00
11
01
00
10
11
10
00
10
10
00
00
10
01
00
01
10
11
00
10
10
00
11
00
10
10
10
01
00
10
00
11
10
10
00
00
10
11
01
10
10
10
00
01
10
00
00
11
10
11
10
00
01
01
00
10
11
00
10
10
10
10
00
00
10
10
11
00
00
10
10
11
00
10
11
01
00
10
11
10
00
01
10
10
11
11
00
11
01
10
11
00
11
10
11
00
00
00
10
10
00
10
00
01
01
00
10
10
10
00
01
11
10
00
00
00
11
00
00
11
10
01
10
11
10
01
00
01
00
11
10
00
01
01
11
11
00
01
10
00
10
11
00
00
01
11
00
00
10
11
00
00
00
01
10
11
01
00
01
01
10
11
10
00
11
01
00
10
11
00
10
11
10
00
01
10
10
10
00
01
00
01
11
10
01
01
00
00
00
11
10
01
10
11
10
00
11
10
01
00
11
10
01
10
00
01
10
00
00
00
10
10
10
10
00
00
11
00
10
11
10
10
10
11
00
00
10
00
00
10
11
01
00
10
00
10
00
11
10
01
00
11
00
00
00
10
11
10
10
10
00
00
10
00
10
11
01
10
01
10
01
00
01
10
01
00
01
11
11
00
01
00
10
10
10
10
00
10
10
10
00
10
10
00
10
10
01
11
11
01
11
10
11
00
00
00
10
11
00
10
11
10
01
10
00
10
10
10
11
00
01
00
11
00
01
01
10
10
00
11
10
11
00
00
10
11
00
01
00
10
00
10
01
10
10
00
10
00
11
00
10
00
00
11
01
10
01
00
11
01
10
10
01
10
10
10
00
10
10
11
00
01
10
01
11
00
11
00
00
11
11
00
10
10
01
10
11
11
00
00
10
11
00
00
10
11
00
10
01
00
00
00
00
10
10
01
00
10
10
00
10
10
00
10
01
00
10
10
10
00
10
10
00
01
00
00
01
01
10
11
10
00
10
00
00
10
10
00
11
10
10
10
11
00
10
10
10
01
00
01
01
00
10
11
11
10
10
00
00
01
00
10
00
10
11
10
11
00
11
10
00
01
10
00
00
11
11
11
01
10
11
10
00
00
01
00
10
00
00
00
10
10
01
00
10
00
00
10
01
00
00
11
11
00
11
10
01
01
01
10
01
11
00
11
10
00
00
10
11
00
10
00
01
10
10
00
11
11
00
01
10
11
10
00
00
00
00
11
10
10
00
00
10
11
10
00
10
10
11
00
01
10
11
10
01
10
11
00
01
00
11
00
10
10
00
10
10
10
01
00
10
10
00
10
00
00
11
11
10
01
00
10
01
01
10
00
01
11
00
10
10
01
00
00
11
10
01
10
10
00
00
11
11
01
01
11
00
00
11
00
10
01
00
10
11
00
10
11
10
00
11
01
00
00
00
10
01
10
10
10
00
11
00
10
10
00
10
00
00
01
11
01
11
10
10
10
10
00
00
11
10
01
10
01
00
01
00
00
00
10
11
00
00
10
01
00
11
01
11
10
10
01
01
10
10
00
00
11
10
10
10
01
00
10
10
00
10
00
10
00
10
11
01
01
01
10
11
11
11
00
00
00
11
10
00
11
11
00
00
00
10
00
01
10
10
00
11
00
00
10
01
01
00
01
01
10
10
10
00
00
11
00
10
00
00
10
10
10
00
11
11
11
01
01
11
01
00
11
00
01
10
11
00
00
11
00
10
10
00
00
10
01
01
10
11
00
00
10
10
10
10
11
00
00
10
10
10
10
11
01
00
00
10
10
11
01
10
10
00
01
11
00
01
00
00
00
00
10
10
10
01
10
10
10
00
10
10
01
11
01
01
00
10
00
10
00
00
11
01
11
00
10
10
10
00
10
11
00
00
10
10
11
10
00
01
10
10
00
11
11
10
00
00
11
00
10
10
01
01
00
11
11
11
01
10
00
01
10
11
00
00
10
00
01
01
01
10
00
10
10
10
01
01
10
10
10
10
11
00
01
10
10
10
00
10
10
11
10
00
10
01
10
10
00
01
00
01
10
11
00
01
01
00
11
11
10
10
11
00
11
10
00
01
01
00
10
10
00
10
00
01
10
11
00
00
10
10
01
10
00
01
11
10
00
11
00
11
00
00
11
10
11
00
00
00
10
11
10
01
01
01
10
01
11
10
00
01
10
00
11
10
00
01
00
10
10
01
00
01
10
10
00
10
10
10
10
00
11
11
01
11
10
00
00
01
01
00
10
11
10
10
00
10
10
01
10
11
11
00
10
10
01
11
11
00
01
10
00
11
00
00
10
01
01
00
00
00
10
10
00
01
10
10
10
10
00
00
00
10
00
00
10
10
00
01
10
00
00
01
11
00
00
11
00
10
00
10
01
10
01
00
10
00
10
00
10
00
00
10
10
01
10
11
10
00
00
01
10
11
00
01
10
00
10
10
00
01
01
01
10
00
01
01
00
10
11
11
00
00
10
11
00
00
00
00
01
10
10
00
10
11
10
11
11
11
10
00
10
10
00
10
11
00
10
10
00
10
00
10
01
11
11
01
10
00
00
10
01
11
10
00
10
00
10
00
00
11
10
11
10
00
00
10
10
01
10
00
00
00
01
11
00
11
10
00
11
11
00
00
10
10
11
11
11
01
11
10
00
00
00
00
11
10
01
00
10
10
01
00
10
10
01
10
10
00
01
11
10
10
00
00
00
00
11
10
01
00
11
11
00
00
00
00
10
01
01
10
00
11
00
00
00
00
11
01
00
11
11
01
11
10
00
01
00
00
01
10
10
10
11
00
10
10
00
01
00
00
11
11
00
11
00
11
10
00
01
10
10
00
11
10
01
01
01
00
10
00
00
10
11
00
00
10
10
01
01
11
10
11
10
10
00
10
01
00
10
10
00
00
00
00
11
11
10
11
00
01
10
00
00
10
11
10
00
00
10
10
11
00
00
00
10
00
01
01
01
01
10
01
10
00
10
10
11
01
01
01
10
00
11
10
10
00
00
10
10
00
00
10
10
10
11
11
00
11
00
00
00
00
00
10
01
10
10
11
11
01
10
10
01
11
00
10
11
11
01
10
11
00
11
01
01
01
10
11
00
10
10
00
00
10
10
10
00
01
00
00
11
01
10
00
01
10
00
10
10
00
11
11
01
11
01
01
10
10
00
11
10
01
00
01
11
10
00
01
00
11
10
00
10
00
10
00
10
01
11
10
01
00
10
00
00
00
10
00
00
00
10
11
00
10
00
00
01
10
10
00
00
01
00
00
00
01
10
11
10
00
11
01
10
11
01
01
10
10
00
01
00
10
11
00
10
00
00
01
01
00
11
11
01
00
00
00
10
11
00
10
10
00
10
00
01
10
00
10
00
00
00
01
10
01
00
01
11
11
01
00
10
10
10
10
00
10
10
01
01
01
01
01
01
10
11
11
01
01
11
11
00
00
10
11
01
00
11
10
10
11
11
01
00
10
11
10
01
01
11
10
10
00
11
01
00
01
10
10
11
10
10
00
00
10
10
11
00
00
01
00
01
10
10
00
10
10
00
00
10
10
00
10
00
10
00
10
11
00
11
11
00
00
10
10
01
10
00
10
01
00
10
10
10
11
00
01
11
01
00
00
10
10
10
11
00
01
01
01
00
00
00
10
11
01
01
11
11
00
10
01
00
00
11
11
01
10
10
10
10
01
00
00
10
01
10
01
11
10
11
00
01
10
10
00
01
10
10
00
10
10
01
00
10
01
00
01
00
10
00
00
00
11
00
10
11
00
00
01
11
00
01
10
10
10
00
00
11
01
10
00
01
00
00
01
11
10
00
11
11
10
00
01
00
11
10
10
00
00
10
00
01
10
11
10
00
01
10
00
11
11
00
01
00
10
11
11
01
00
10
10
00
00
10
01
00
00
00
10
01
01
00
10
01
01
00
10
10
00
10
10
00
00
01
01
11
11
11
10
10
00
00
00
10
10
11
11
11
11
01
01
00
11
10
10
01
01
10
10
00
00
11
10
10
10
01
10
10
10
10
10
00
00
00
01
10
01
00
00
00
00
10
11
11
10
00
00
11
10
11
01
00
10
11
00
00
10
10
10
00
01
00
00
10
00
00
10
10
00
10
10
10
01
01
10
00
01
10
10
10
11
10
10
01
10
01
00
10
00
01
00
00
00
01
11
10
11
10
10
10
10
10
00
01
10
11
00
00
10
10
10
10
00
00
10
00
00
11
00
10
01
11
01
00
00
00
11
01
01
01
11
11
00
10
00
10
00
00
10
11
00
10
10
10
11
11
10
00
10
00
00
00
00
11
00
00
01
10
11
01
11
01
00
01
10
00
11
10
00
01
00
11
11
00
00
00
00
11
10
01
01
10
10
10
10
00
00
11
00
00
10
01
11
10
10
11
00
11
11
10
11
11
00
00
00
01
01
10
10
00
00
10
11
10
00
10
00
01
10
10
00
11
11
10
10
11
10
10
00
00
01
01
00
11
01
10
10
00
00
11
00
10
11
00
00
00
10
11
01
01
00
01
10
00
10
10
10
10
10
01
00
10
10
00
00
01
11
11
00
00
11
10
00
00
11
11
10
10
00
00
10
10
11
00
01
10
10
10
10
10
10
00
01
01
00
11
01
11
10
11
01
01
10
10
10
11
01
00
00
11
10
10
00
10
00
01
10
01
11
10
11
11
10
00
10
11
11
11
01
01
01
00
00
00
00
11
11
01
10
01
01
11
10
10
00
11
10
00
11
10
01
00
00
00
10
00
01
00
10
00
01
01
01
10
00
00
10
00
10
11
01
01
00
10
10
10
01
00
01
11
00
01
00
01
00
11
11
11
00
00
01
10
01
00
10
11
00
01
00
00
00
00
00
10
00
00
01
10
00
11
11
10
00
10
10
00
01
01
01
10
00
10
01
10
10
00
01
10
10
10
00
00
00
00
10
10
00
10
10
11
10
10
00
00
11
00
01
00
01
11
00
10
10
11
00
10
00
00
11
10
10
01
01
00
10
00
10
01
11
01
01
10
00
01
11
11
00
00
00
01
00
10
10
00
01
10
10
00
10
10
10
00
10
11
01
10
00
00
10
10
00
00
11
10
00
01
01
00
11
10
10
01
00
01
00
00
10
00
00
11
01
01
10
00
01
00
11
00
01
11
00
10
10
10
00
01
10
00
01
01
11
00
00
10
11
10
00
10
10
00
01
01
01
10
01
01
00
01
10
00
00
10
11
00
11
00
11
11
10
01
00
10
00
10
11
00
01
11
10
00
10
00
10
00
01
10
10
00
01
10
10
10
00
00
10
10
01
10
00
10
10
10
00
11
00
11
11
01
01
00
00
11
11
00
11
10
00
11
10
01
00
10
10
01
00
00
10
10
00
00
10
01
01
10
00
00
01
00
11
10
10
00
10
10
00
11
11
11
00
01
11
10
11
00
00
10
00
11
11
00
01
10
10
00
00
01
10
01
00
10
10
11
01
01
10
10
00
00
00
00
00
10
11
01
10
10
10
00
10
01
00
10
10
00
00
10
00
10
10
00
00
11
10
10
11
00
01
00
00
00
01
11
11
10
01
00
00
10
11
01
10
00
00
10
00
00
00
00
10
00
10
10
11
10
10
00
11
10
10
10
01
00
00
10
10
10
00
00
00
10
10
00
00
00
00
01
00
11
10
00
10
01
10
10
10
00
00
10
10
01
00
11
00
01
10
10
01
10
10
00
10
10
00
00
00
01
11
00
00
00
01
10
10
00
10
00
01
10
11
10
00
00
00
01
00
00
10
11
00
10
11
11
00
01
10
01
00
01
11
11
00
00
11
10
00
10
00
01
11
10
11
10
11
10
00
10
00
11
10
00
00
11
01
01
10
01
10
10
11
00
10
01
00
10
00
00
00
10
10
10
11
01
10
01
10
01
00
00
10
10
01
01
00
10
00
01
10
00
10
11
00
00
10
00
10
11
00
01
10
11
01
10
11
01
00
10
00
00
00
10
10
10
01
00
00
00
11
10
10
10
01
11
00
10
10
11
10
10
00
10
11
10
11
01
01
11
11
00
01
10
11
00
00
10
00
11
00
10
11
10
11
11
00
00
00
10
00
11
01
00
10
10
10
01
00
11
00
01
00
00
10
10
11
00
10
01
00
11
11
00
00
10
11
10
11
00
10
00
00
11
00
11
10
10
10
10
00
01
10
10
00
00
10
10
01
00
01
10
01
00
11
10
00
10
10
01
00
10
10
00
10
11
00
00
11
10
01
00
01
10
00
00
10
00
00
00
10
00
11
11
10
10
00
01
00
10
11
10
00
10
00
00
00
10
00
10
00
00
00
00
10
10
10
01
01
10
00
11
10
10
01
01
10
10
00
01
00
10
10
11
11
11
00
00
10
00
11
11
11
01
10
00
00
10
11
01
00
00
11
10
01
00
10
00
10
01
00
00
11
10
11
01
10
00
10
11
11
10
01
11
10
01
10
01
10
00
10
00
01
10
10
00
10
10
10
10
10
10
11
10
10
10
10
11
11
10
00
01
10
01
11
11
01
00
00
00
00
10
10
10
10
11
10
10
01
00
11
00
00
00
00
11
00
00
10
00
01
11
01
10
10
01
01
00
00
10
10
10
11
10
10
11
11
00
00
00
00
01
10
01
00
11
10
01
01
10
11
01
10
00
00
11
10
10
00
00
01
01
00
00
00
10
10
00
00
11
00
00
10
00
01
10
00
00
00
01
01
10
10
10
00
10
11
11
00
10
00
00
11
10
10
00
11
11
10
00
10
01
10
00
00
10
10
00
10
00
11
00
00
10
00
00
00
00
10
10
01
00
01
11
11
11
00
01
00
01
10
11
00
10
11
00
00
10
10
10
00
10
00
00
10
10
10
00
00
00
00
00
10
00
10
10
00
10
00
10
11
10
10
10
10
11
01
10
10
10
11
11
00
01
01
10
00
10
01
00
01
10
10
10
10
10
01
11
00
00
10
11
01
01
00
11
11
00
00
00
10
11
10
01
01
11
00
01
00
10
00
10
10
00
01
10
00
00
01
10
11
10
11
00
00
00
01
10
11
00
00
10
00
00
11
01
00
00
01
00
01
00
11
10
11
10
11
11
01
01
11
10
01
00
10
10
00
00
10
11
00
11
10
11
10
10
10
10
11
10
00
00
00
00
00
00
10
10
10
00
10
01
00
10
11
10
10
00
00
01
10
01
11
00
00
01
01
10
10
11
11
00
10
10
00
10
10
00
01
11
00
00
00
01
00
00
11
10
01
10
01
10
11
10
00
11
11
00
10
10
10
11
10
11
00
00
10
00
00
10
11
00
00
00
10
00
10
01
11
00
11
11
10
10
01
10
11
00
00
00
00
10
00
01
10
10
10
01
00
00
00
00
10
10
10
10
01
00
01
01
10
10
10
10
00
01
11
01
10
10
11
01
11
00
00
11
10
01
11
10
11
10
10
00
11
10
00
10
11
01
00
10
00
00
00
10
01
11
01
00
10
01
00
10
10
01
01
10
11
10
10
10
01
01
01
00
10
01
01
11
10
00
00
10
11
10
01
10
11
11
00
00
10
10
01
00
10
00
10
00
10
00
01
10
10
10
01
10
10
00
01
11
11
01
01
00
10
10
10
10
00
11
00
00
11
10
10
00
01
10
00
00
11
10
10
01
00
10
10
11
00
10
10
11
11
01
00
01
10
10
10
01
00
11
10
10
01
10
00
00
00
10
00
11
10
11
00
00
10
00
10
10
11
11
11
00
00
10
00
10
10
00
00
10
10
01
00
01
10
00
00
11
11
00
10
10
10
00
11
01
01
10
10
11
01
00
10
00
01
10
01
00
10
10
00
10
10
10
00
00
01
00
11
01
10
10
01
11
00
00
10
11
00
00
01
00
00
00
10
11
10
00
10
01
01
01
10
01
01
10
01
00
11
01
00
01
01
00
00
00
01
00
00
11
10
00
11
00
01
11
10
01
10
00
00
00
10
01
10
01
10
00
01
10
01
10
11
01
10
11
10
10
10
01
00
10
01
11
00
00
10
01
10
01
00
00
00
10
10
10
11
00
11
10
01
10
01
01
00
01
00
10
10
00
01
10
00
01
10
01
10
11
00
01
11
10
00
00
00
00
00
10
11
10
01
01
10
10
10
10
00
01
11
10
00
10
00
01
11
10
11
01
00
01
00
00
00
01
11
10
10
10
00
10
10
01
01
00
10
00
00
10
00
00
11
10
01
10
00
10
11
00
01
10
10
01
00
01
10
01
00
00
11
00
01
00
00
10
11
10
01
10
10
00
10
01
00
00
10
10
10
01
00
10
00
10
10
01
00
00
10
00
11
10
11
10
00
00
01
01
01
01
10
10
00
11
00
00
10
11
00
01
00
01
00
00
11
00
10
11
00
11
10
11
01
11
10
10
11
10
00
00
10
10
10
10
01
10
10
00
00
11
00
10
10
00
10
00
01
00
00
00
11
11
10
11
01
00
11
10
10
10
00
00
11
10
01
11
00
00
10
10
00
11
10
01
00
10
11
10
01
11
00
01
00
10
00
10
10
11
00
00
10
00
10
10
01
10
10
00
11
00
10
00
10
00
00
11
01
01
00
00
01
00
00
10
11
01
00
00
00
11
00
10
10
11
11
01
00
10
10
10
11
00
11
10
00
01
00
01
00
10
00
00
10
01
10
10
11
10
01
00
00
10
00
01
00
01
10
11
10
01
11
11
00
00
10
10
00
01
00
10
00
00
10
00
10
00
00
00
11
10
11
10
00
11
11
00
00
10
01
11
10
00
11
10
00
01
10
10
10
10
01
00
00
00
10
10
10
10
10
10
01
10
01
11
10
10
01
11
00
01
10
11
00
01
10
10
01
00
10
10
00
00
11
11
01
01
00
01
10
00
00
01
10
00
10
11
10
00
10
10
10
10
01
00
00
10
10
11
00
00
10
10
01
10
01
00
11
11
00
01
00
10
10
10
01
00
10
11
10
10
01
01
01
00
11
00
10
10
10
00
00
10
10
10
11
10
10
10
10
01
00
11
00
10
10
10
10
10
10
00
11
01
01
10
01
00
10
00
00
00
10
10
00
10
10
01
00
10
00
10
01
11
00
00
11
00
11
10
10
00
10
11
01
00
10
10
00
01
01
11
00
10
00
10
11
00
11
11
00
00
00
00
10
10
00
00
10
11
11
10
00
01
10
10
00
11
10
00
00
10
01
00
00
00
10
11
00
00
00
10
11
11
10
00
00
00
00
11
10
10
01
10
10
00
00
10
10
00
00
00
00
10
10
11
10
00
00
01
10
11
10
00
00
00
11
10
00
00
11
00
10
00
00
10
00
01
11
11
00
01
11
10
11
01
11
00
00
10
01
00
10
00
00
00
11
11
00
10
00
01
11
00
01
00
10
10
10
10
10
11
00
10
10
00
10
10
01
00
10
11
01
10
11
01
01
10
01
11
11
11
00
00
10
11
00
01
11
10
11
00
00
00
10
10
11
10
01
00
10
10
10
00
10
10
00
00
11
01
00
00
10
00
11
00
10
11
10
00
00
00
00
10
10
00
00
10
00
11
01
00
01
10
00
10
00
00
00
00
10
10
10
01
10
10
10
00
11
00
11
00
01
10
10
10
01
00
01
11
00
00
00
10
10
00
00
11
10
10
11
00
11
11
00
11
00
10
00
01
10
10
10
00
10
11
00
10
01
10
01
11
01
00
00
11
10
00
10
00
00
11
10
00
01
10
01
00
10
10
00
00
10
10
01
11
10
10
11
01
10
01
01
10
00
10
01
11
11
01
01
11
10
10
11
00
00
00
10
11
01
11
11
01
00
10
01
10
00
10
11
00
00
10
11
01
11
10
00
00
10
00
00
00
10
01
00
11
11
10
11
00
10
11
00
00
11
10
00
10
10
00
10
11
01
00
00
10
10
11
10
00
00
10
10
00
11
00
11
11
11
01
01
11
00
11
00
00
11
10
00
10
10
00
10
10
00
00
10
00
00
10
00
10
01
00
01
00
11
00
11
10
00
11
10
01
01
11
01
00
10
00
01
10
01
10
11
00
00
10
00
10
11
00
00
11
10
11
11
10
11
01
00
11
11
00
10
10
00
10
11
00
10
10
11
10
11
00
00
00
11
00
00
00
11
10
01
10
10
10
01
10
10
10
00
00
10
10
00
10
01
01
01
00
00
00
01
11
11
10
00
11
10
01
00
00
11
01
11
10
10
00
10
10
00
10
10
10
11
01
00
00
11
10
00
11
00
10
10
00
11
10
00
00
00
10
10
00
00
00
11
00
00
10
11
10
00
01
10
00
10
10
11
10
00
10
10
00
11
10
01
10
00
11
11
11
01
11
00
00
01
10
00
00
11
00
01
00
11
01
10
11
10
01
10
01
00
01
00
10
01
00
10
10
11
01
00
11
10
10
10
01
10
01
00
10
00
00
00
00
00
10
00
10
01
01
10
10
11
10
11
00
00
00
10
00
00
10
11
00
11
01
11
10
11
11
10
01
00
10
01
10
11
00
10
10
00
10
00
00
11
11
10
01
10
01
01
10
00
10
10
10
01
00
10
00
10
10
10
11
00
00
00
00
11
00
00
10
01
01
01
00
10
11
00
11
11
01
00
00
10
11
01
00
10
10
00
00
11
10
01
10
10
01
00
00
00
00
00
11
00
11
10
10
00
01
01
10
10
00
00
00
00
11
00
01
10
10
10
10
00
10
01
00
00
10
10
01
00
00
01
11
10
10
01
10
11
01
00
11
01
10
11
01
10
00
01
01
10
01
01
11
10
10
00
00
11
11
10
01
10
11
00
01
10
00
11
10
01
10
00
00
00
11
10
10
01
00
01
10
11
00
00
11
10
00
00
00
01
11
10
10
00
01
10
01
00
01
10
10
00
00
11
10
00
00
11
10
00
00
10
00
10
01
01
11
11
00
00
10
00
10
10
00
11
01
10
11
10
10
11
00
00
11
11
01
11
10
00
10
11
00
01
10
10
01
10
00
10
01
01
00
00
10
10
00
10
01
01
10
11
10
10
10
10
00
00
00
10
10
00
10
00
10
10
00
01
11
10
11
01
01
11
10
00
10
01
01
11
10
01
00
00
00
00
10
10
11
00
10
10
10
10
01
11
10
00
00
10
11
10
11
00
00
00
01
00
00
00
11
01
01
10
00
10
01
00
00
10
11
00
10
00
00
01
11
01
00
10
11
01
01
00
10
10
00
00
11
11
00
10
01
10
11
01
00
10
10
00
10
11
01
00
10
11
00
00
11
10
10
11
11
01
10
11
10
00
10
11
00
00
00
11
00
01
01
00
11
11
00
01
10
11
01
01
00
00
10
10
10
00
11
10
10
01
10
10
11
00
00
10
11
11
10
00
00
00
10
10
01
11
10
01
10
01
10
00
00
10
00
10
10
01
10
10
00
10
00
00
01
00
10
10
10
01
10
10
10
11
10
00
00
10
10
10
10
00
00
00
01
00
00
10
00
00
11
10
01
10
11
01
11
00
00
00
11
10
01
01
10
10
00
01
10
01
00
00
10
10
01
00
10
10
00
11
00
10
10
00
01
01
00
10
00
00
10
10
00
00
10
10
00
00
10
00
10
01
11
01
10
11
10
01
11
01
10
01
00
10
00
00
10
10
00
00
01
00
11
10
11
01
01
11
10
10
00
10
01
00
00
10
10
00
11
00
01
10
11
00
01
01
00
00
01
00
10
10
00
01
10
10
00
10
00
10
11
10
10
00
11
01
01
10
00
00
01
00
10
11
00
01
10
00
10
10
01
00
00
11
00
10
10
01
10
00
00
11
00
01
00
10
10
00
01
11
01
10
10
11
10
10
00
00
10
11
00
00
10
00
00
11
10
01
00
10
00
01
00
10
11
00
00
00
10
01
10
10
10
10
10
00
10
01
10
11
10
11
10
10
00
00
11
10
11
00
10
11
10
01
01
10
10
00
00
11
10
00
00
11
00
00
01
10
10
01
01
10
10
00
00
00
00
00
10
10
00
10
00
00
01
00
00
00
00
10
10
10
10
01
01
10
00
00
01
11
10
01
00
00
00
10
10
01
00
11
10
11
00
00
01
11
11
11
00
01
00
10
00
01
11
10
00
00
11
01
10
10
11
10
00
10
00
11
00
00
10
00
10
00
01
00
10
11
00
00
00
10
01
10
10
10
01
00
10
00
11
01
00
00
10
10
01
00
00
10
10
00
01
01
10
00
00
10
01
00
00
00
10
01
10
10
10
10
10
00
00
10
01
00
01
10
01
00
10
10
10
01
00
00
10
01
10
10
11
00
00
00
10
10
01
10
10
10
10
01
01
10
10
00
10
10
10
00
00
11
10
00
00
10
00
00
11
10
11
00
00
11
00
00
01
00
10
01
11
10
10
00
01
11
11
00
10
10
10
10
00
01
00
01
00
11
00
11
11
01
10
10
01
00
10
10
00
01
00
10
10
01
10
01
10
01
01
10
10
01
10
11
11
00
11
11
10
00
00
10
10
11
01
00
01
00
10
00
01
00
00
01
10
00
10
00
10
00
01
00
11
01
11
00
00
00
11
00
00
01
10
00
00
10
10
10
00
10
00
01
00
01
00
00
00
10
11
10
00
00
00
10
10
10
11
10
10
10
00
10
10
00
01
10
10
10
10
00
11
01
11
10
00
11
00
00
00
10
11
10
00
00
10
10
10
11
00
00
00
11
10
10
10
11
01
00
01
11
11
00
10
00
01
00
10
10
01
00
01
10
01
10
00
10
01
00
11
11
01
00
10
10
01
00
10
10
00
11
11
01
00
00
00
01
00
00
00
11
10
00
11
11
01
10
00
01
01
00
10
11
00
00
00
10
10
00
11
00
01
01
01
10
01
10
10
00
00
10
11
10
00
01
11
10
11
00
01
11
10
01
00
11
10
11
00
01
10
10
10
10
10
01
00
10
01
01
10
00
01
00
00
10
00
11
11
00
10
00
00
11
00
01
10
01
11
10
01
10
00
10
10
10
11
01
10
10
01
11
11
10
00
11
10
10
10
11
00
00
10
00
10
00
00
11
00
01
10
00
10
00
00
10
11
11
01
00
11
10
01
10
00
00
10
10
00
10
11
00
00
11
11
01
00
11
11
00
11
01
00
10
11
00
10
00
11
00
10
10
01
01
01
11
01
10
10
00
00
10
01
00
10
10
10
01
00
10
10
10
00
00
10
11
00
00
00
01
10
01
00
00
11
10
10
11
10
01
11
00
00
00
11
00
10
10
00
01
10
00
00
01
11
10
00
00
00
01
10
11
00
00
00
01
00
01
10
10
10
10
11
10
01
01
10
01
00
00
00
00
10
10
00
01
10
10
10
00
00
10
00
00
01
10
00
10
00
11
00
10
00
00
10
11
00
10
00
00
10
10
11
00
10
01
01
00
10
11
11
10
11
11
10
11
00
11
10
00
10
00
00
10
10
01
10
11
00
01
10
10
00
10
10
01
00
00
10
00
01
00
00
11
11
00
10
11
00
00
01
11
10
00
10
10
00
10
10
10
00
01
10
01
11
00
10
10
10
11
11
01
00
10
10
00
00
11
00
11
11
00
10
00
00
01
00
11
00
00
11
11
01
00
00
11
10
00
01
00
10
01
00
11
00
11
11
10
10
10
10
10
01
00
10
10
10
00
00
11
10
00
00
11
00
10
10
10
00
01
01
00
10
00
00
10
00
10
00
10
10
01
11
00
00
00
00
11
10
01
00
10
11
11
11
11
11
00
01
10
11
10
00
00
00
11
10
01
00
10
01
00
00
01
10
10
00
00
01
11
10
10
01
00
11
01
01
10
10
10
00
00
01
01
10
10
11
01
10
00
11
00
11
01
00
10
10
01
01
01
10
10
10
11
00
01
10
00
01
11
11
11
00
00
00
10
10
10
00
00
01
10
11
10
10
00
10
00
00
01
00
01
10
10
11
00
00
00
01
01
01
10
10
10
11
11
01
10
10
11
11
10
11
01
00
00
00
10
11
10
10
10
01
10
10
00
01
00
00
00
00
00
10
10
00
10
11
00
00
11
11
01
10
00
00
10
10
01
00
10
10
10
10
01
11
00
01
10
01
00
00
11
10
01
00
01
10
10
10
00
00
01
10
10
00
11
00
00
01
01
11
10
00
00
10
00
01
01
10
10
00
00
11
11
00
10
00
11
11
00
10
01
00
00
10
11
01
10
00
00
11
00
10
00
00
11
00
10
11
01
01
01
10
10
01
10
10
00
01
11
00
01
10
00
01
00
10
01
00
11
01
00
00
00
11
01
00
00
10
00
01
10
01
11
11
10
01
10
10
00
00
10
11
10
01
00
00
00
10
11
00
11
00
10
00
11
10
10
00
00
00
00
10
00
10
10
01
10
11
01
00
11
00
00
00
10
11
10
01
00
10
10
11
10
10
11
00
11
11
01
11
10
11
10
11
01
10
10
00
00
11
01
00
10
10
01
01
00
10
01
11
11
00
10
01
10
01
00
00
10
01
11
01
00
10
00
11
10
10
01
00
10
10
00
01
00
11
11
11
00
00
00
00
10
10
11
00
10
00
10
10
00
10
00
00
10
11
10
10
10
00
10
00
00
10
01
10
11
00
00
11
01
01
11
00
11
00
01
11
11
00
10
00
00
00
10
11
00
01
10
00
10
00
10
00
01
10
11
01
00
10
01
10
10
00
01
00
11
10
10
10
00
00
00
00
10
00
00
10
11
00
11
01
10
11
01
01
10
11
01
01
10
00
00
10
00
10
10
00
00
10
00
10
00
00
00
00
00
11
01
01
00
00
10
00
11
10
01
00
10
01
00
10
01
11
10
00
00
00
10
00
10
11
00
10
00
00
10
00
10
01
10
11
00
00
00
00
11
10
00
00
00
11
00
10
00
00
10
01
00
01
00
10
10
01
01
10
00
00
10
11
10
00
00
11
11
10
00
00
11
10
00
01
11
11
00
10
11
01
10
01
10
10
00
10
00
10
00
01
11
11
00
00
11
00
11
10
01
00
10
00
01
10
11
00
01
01
00
10
11
00
10
00
00
10
11
00
11
10
00
11
10
01
01
00
10
11
00
00
01
11
10
00
10
10
00
10
01
00
00
10
00
10
10
10
10
10
00
11
00
00
00
10
00
00
10
00
11
10
11
11
10
00
11
01
00
11
00
01
10
00
10
11
11
00
00
00
01
01
01
10
10
01
10
10
10
01
00
00
11
00
10
11
00
10
10
01
10
00
11
11
00
10
00
00
10
10
10
00
10
00
11
10
01
00
01
10
01
00
01
10
11
00
00
00
10
10
01
00
10
10
00
01
10
00
00
11
10
10
01
10
10
01
00
01
11
00
01
00
00
00
10
11
00
00
00
10
11
10
11
11
10
00
11
10
01
00
10
10
00
10
00
00
01
00
10
00
00
10
00
10
10
00
00
11
11
00
00
00
10
00
11
11
00
10
10
01
00
10
00
00
01
01
11
01
01
10
11
00
11
10
01
00
10
01
00
01
10
11
00
11
10
00
11
01
10
01
11
11
10
00
01
00
01
01
10
10
00
00
10
10
00
00
10
10
01
10
10
10
00
00
10
10
10
10
00
00
10
01
11
00
11
11
01
00
11
11
00
10
10
11
00
00
10
00
10
10
01
00
00
10
00
11
00
10
10
10
00
00
01
10
10
00
11
10
11
00
11
01
00
00
00
00
10
01
00
11
01
10
01
11
01
00
10
11
10
11
00
01
10
10
10
10
11
00
11
01
10
10
10
00
00
10
10
10
00
01
10
10
10
01
00
11
10
11
01
11
10
00
10
11
00
00
10
11
10
11
10
00
11
01
01
00
00
11
11
01
10
10
11
10
01
10
00
10
10
00
00
10
10
00
11
10
11
00
00
00
11
10
10
10
00
10
00
01
10
11
00
10
00
10
11
11
00
00
11
10
10
00
11
10
00
00
01
00
01
00
10
11
10
00
00
00
11
10
10
01
10
01
00
10
11
11
01
00
10
01
00
10
00
00
00
10
11
11
10
01
01
01
01
00
00
10
00
10
00
00
10
01
00
01
00
00
11
10
11
10
00
01
10
11
10
10
00
01
00
00
00
00
10
11
10
00
00
10
10
01
10
00
01
10
10
11
11
11
11
10
01
10
10
00
11
10
10
10
00
11
00
00
10
11
00
11
00
10
01
00
01
10
00
01
11
00
00
11
11
11
11
11
01
01
11
00
00
10
10
00
00
11
00
11
00
11
11
00
01
11
11
01
11
11
00
01
10
11
00
01
11
10
11
01
00
11
10
01
10
00
00
10
10
10
00
00
10
10
10
11
00
00
10
11
11
10
01
01
11
00
11
01
00
10
10
10
01
00
11
10
00
10
11
11
00
11
10
00
01
11
10
00
01
10
11
00
00
10
10
10
10
00
01
00
01
10
11
01
00
01
10
11
01
00
11
10
01
01
00
00
00
10
10
01
00
01
10
00
11
11
01
01
01
11
00
00
11
10
00
00
01
10
10
11
00
10
00
10
00
10
00
01
00
00
11
10
11
01
10
10
00
01
10
00
00
10
10
00
00
11
00
00
10
00
00
01
00
11
00
00
01
00
10
01
00
11
10
10
00
01
10
01
10
10
01
01
01
10
11
00
10
10
01
00
01
00
10
00
10
00
10
11
00
00
10
11
00
10
10
00
00
00
01
00
10
10
00
00
10
11
10
10
01
00
01
10
01
01
10
10
00
00
10
10
00
10
10
01
10
11
00
01
10
01
10
10
00
01
10
10
10
00
10
11
01
01
11
10
10
00
00
00
10
10
01
00
00
10
11
00
00
10
11
11
00
00
10
11
00
11
00
01
10
10
01
11
10
00
01
10
01
01
10
11
10
00
11
00
00
00
01
10
00
10
00
01
11
01
10
00
00
10
10
01
00
10
00
10
11
10
10
10
01
00
10
11
11
10
01
00
10
10
10
01
00
10
00
01
10
10
01
10
10
00
00
00
01
10
01
10
11
10
10
10
00
00
10
00
01
00
11
10
11
00
00
00
10
10
01
01
10
00
00
10
10
10
00
00
11
01
00
00
01
11
00
00
11
01
01
10
11
10
11
00
00
00
10
11
10
10
10
10
10
01
01
10
01
00
00
10
00
00
00
10
11
10
01
00
00
01
10
11
11
01
00
00
10
01
01
11
01
00
10
11
00
01
10
11
10
00
01
10
10
00
00
10
10
11
00
10
10
10
10
01
11
01
00
10
10
10
01
10
00
00
00
10
00
10
00
01
00
10
10
10
01
01
00
11
10
10
00
10
10
00
10
10
10
10
10
00
00
00
11
10
10
00
01
00
10
11
00
10
11
00
11
10
00
01
00
01
10
01
01
00
10
10
00
10
00
00
00
00
10
10
01
10
11
10
00
01
00
11
10
10
00
00
10
11
00
01
00
00
01
10
01
00
11
10
10
00
10
10
01
00
10
00
00
10
10
10
10
11
00
00
11
00
00
10
11
10
00
10
10
11
01
11
00
01
00
10
00
11
10
00
00
10
00
10
00
10
01
01
10
11
01
00
11
01
01
11
00
00
10
00
00
10
11
01
10
00
00
00
10
11
10
00
00
11
00
10
01
11
10
10
01
00
10
10
00
10
10
00
01
00
11
01
01
10
11
00
00
00
11
01
00
10
10
10
00
10
00
11
00
00
11
11
01
10
10
00
00
11
10
00
00
00
11
10
00
10
10
10
10
10
10
01
11
00
11
01
00
00
01
11
00
00
11
11
10
11
10
01
01
01
00
10
10
01
11
11
00
00
00
10
00
00
10
11
11
10
11
10
00
01
10
10
10
11
00
01
11
00
10
00
11
10
00
00
00
00
10
11
01
00
10
01
00
01
01
01
11
00
00
10
00
00
10
11
01
00
00
00
10
01
00
11
11
10
00
10
01
10
11
00
01
00
00
00
00
10
00
00
10
01
10
00
00
10
11
10
00
11
11
10
10
00
01
10
00
00
00
10
01
10
10
11
00
01
00
10
01
00
01
10
10
00
10
11
10
10
00
01
11
00
10
11
01
10
01
10
11
00
01
10
01
10
00
01
10
00
00
01
10
11
00
01
00
01
00
11
10
10
10
00
00
11
01
01
11
01
11
10
00
10
10
01
00
10
10
10
00
10
10
00
11
00
01
00
00
00
00
00
10
10
10
01
01
10
11
01
11
10
10
00
00
10
00
10
10
00
00
00
11
00
01
00
10
11
00
00
00
10
10
10
00
00
10
00
01
00
00
11
11
10
10
01
00
00
00
10
11
01
00
11
11
11
01
10
00
00
00
00
01
11
10
01
00
00
00
01
11
11
00
00
11
10
11
10
10
11
01
10
01
00
11
00
01
10
00
00
10
10
11
01
00
10
01
01
11
10
01
00
10
10
10
00
01
10
11
10
00
10
00
00
11
10
01
11
10
01
01
10
11
00
01
10
11
01
01
10
01
00
01
10
10
01
10
11
00
00
11
00
10
10
11
11
00
00
11
10
01
10
01
00
11
10
01
00
11
00
10
11
00
10
10
00
01
00
11
01
10
11
00
01
00
10
11
10
01
00
10
11
00
00
10
10
01
10
10
00
00
10
01
01
10
01
01
00
10
11
10
00
01
11
00
10
00
10
00
10
10
00
01
10
00
10
10
10
10
10
01
01
00
11
00
01
00
11
11
00
00
10
10
00
10
10
10
10
00
01
10
11
10
10
00
10
10
11
11
00
01
10
01
00
10
01
01
00
00
00
11
10
00
10
10
00
10
01
00
00
11
00
00
10
01
10
11
01
00
11
01
00
10
10
00
01
01
00
10
10
00
10
00
10
11
01
00
00
00
10
10
00
00
10
00
00
00
01
11
10
00
11
01
01
10
01
00
10
01
10
01
00
10
11
10
11
10
10
00
10
11
10
01
00
10
01
00
00
10
11
00
00
11
11
00
00
00
10
00
11
00
10
10
01
10
11
01
10
01
00
10
01
00
10
11
01
00
00
10
01
00
00
11
10
11
00
10
10
10
10
00
10
11
00
01
00
00
11
11
11
01
00
10
01
01
00
00
11
11
00
01
11
01
11
00
00
11
10
11
10
01
00
00
01
00
10
10
10
01
00
10
10
01
01
01
00
00
00
11
10
00
01
11
11
01
10
00
01
10
10
01
00
10
10
00
00
01
11
11
01
00
10
10
01
00
10
00
01
10
00
10
10
10
01
10
00
00
00
11
01
00
11
00
01
11
10
10
00
11
10
10
00
00
00
11
10
00
11
00
10
00
00
10
11
00
00
11
10
10
10
00
01
00
01
01
10
11
01
00
10
00
00
10
10
11
10
01
01
00
10
00
00
10
10
00
10
10
00
00
00
00
10
00
10
01
01
11
10
10
00
00
01
11
00
00
10
01
00
00
10
11
00
00
10
10
00
01
01
00
00
10
10
00
00
11
11
00
10
01
00
10
01
10
10
01
01
00
01
00
11
11
00
00
00
10
10
10
10
10
01
00
11
00
11
00
01
00
10
00
00
00
10
01
00
10
00
00
01
00
10
10
00
10
00
01
10
00
10
11
00
01
10
00
01
01
00
11
10
11
00
11
10
01
10
10
10
00
00
11
00
11
00
11
10
11
00
10
11
00
10
11
01
01
01
01
10
10
01
10
00
00
10
00
00
10
01
11
00
00
10
00
00
11
10
01
00
10
00
00
10
11
01
01
10
01
01
10
10
10
10
00
00
10
10
01
01
00
00
10
10
10
00
00
10
10
00
01
00
10
11
11
10
00
10
10
01
00
01
10
10
10
11
00
10
01
00
10
10
01
10
11
00
10
10
00
11
00
11
10
10
00
11
00
01
10
10
10
01
00
10
11
10
00
10
10
00
10
10
00
00
00
01
00
01
00
00
00
01
00
00
11
11
01
10
11
00
01
10
10
11
11
00
00
10
11
11
01
01
10
00
01
01
01
11
11
01
00
11
00
00
10
10
00
00
01
10
11
01
01
11
10
11
00
00
10
10
01
00
10
01
00
01
10
10
01
00
10
00
00
10
00
11
01
10
01
11
00
10
10
00
00
00
10
00
11
11
10
00
00
01
00
10
10
11
10
10
10
01
00
10
00
01
00
00
00
00
00
10
00
10
10
01
10
01
10
01
00
01
00
00
00
10
10
10
00
00
10
00
11
10
00
10
11
00
01
00
01
11
10
01
10
00
01
10
11
00
11
10
01
01
10
11
10
01
00
10
10
00
01
10
00
00
00
10
10
11
10
10
00
11
00
10
00
10
10
00
01
10
11
00
10
10
11
00
01
00
01
11
10
10
11
10
00
00
10
10
11
10
00
10
10
00
00
00
00
10
10
11
00
11
10
10
00
10
01
10
10
01
00
10
10
00
00
10
00
00
00
00
00
00
10
01
10
00
10
00
00
01
00
11
10
00
10
00
01
00
00
11
00
00
01
00
10
11
00
11
10
01
00
10
00
01
01
11
01
00
10
01
01
00
11
10
01
11
11
01
00
01
10
11
10
10
01
10
11
00
10
10
10
10
10
00
01
11
10
01
10
10
11
01
01
01
00
10
10
01
01
01
11
00
00
00
10
00
00
01
10
00
00
10
10
10
11
01
01
10
00
10
00
00
10
10
11
00
01
00
10
00
10
01
00
00
10
01
11
11
10
11
11
01
11
01
01
11
11
00
00
10
11
01
10
10
00
01
00
11
10
01
10
00
00
10
01
01
10
10
01
10
00
10
11
00
10
11
00
00
10
00
00
11
11
00
10
00
10
01
00
10
10
00
11
11
00
00
10
01
10
00
10
00
00
00
00
11
10
11
00
11
10
00
10
10
10
00
00
01
01
11
10
00
01
10
11
10
10
00
00
01
10
11
00
10
01
01
00
11
10
10
10
01
10
01
10
11
00
11
00
11
00
00
10
10
01
01
10
00
00
00
00
10
11
11
10
01
00
01
01
10
00
00
10
00
00
11
01
00
10
10
10
10
00
01
10
10
10
10
11
10
00
11
10
10
01
01
10
01
01
10
00
00
00
10
00
00
10
10
00
00
10
10
00
10
11
11
11
10
01
00
00
10
01
01
11
11
10
10
00
10
01
00
10
10
01
11
10
00
01
00
10
10
00
10
00
01
11
10
01
00
11
00
00
10
10
00
00
00
10
00
01
00
10
01
00
10
10
10
01
00
10
01
01
10
00
00
10
10
00
10
01
00
10
10
10
00
10
10
01
10
10
00
00
01
00
10
10
00
01
01
01
11
11
00
00
10
00
11
00
11
00
11
00
00
10
00
00
10
11
11
11
11
10
00
01
00
11
00
00
10
10
10
00
00
10
00
10
10
01
11
10
01
11
00
00
00
10
10
00
01
10
00
01
01
00
11
10
00
10
10
01
00
01
10
00
00
11
10
10
11
00
10
10
00
11
10
00
10
00
01
01
00
10
10
00
00
01
11
10
00
10
10
10
10
10
00
10
10
11
01
01
00
00
10
10
00
00
10
11
10
10
11
10
00
00
10
10
00
01
01
01
00
10
11
00
10
11
01
00
10
00
00
11
00
00
10
11
01
11
01
11
10
11
00
00
10
10
00
10
10
00
11
10
00
00
01
01
01
00
10
01
00
10
10
01
00
00
01
10
00
01
01
11
10
01
00
10
01
11
10
01
00
11
10
11
00
10
10
00
00
10
10
01
10
10
10
11
00
00
11
00
10
10
10
10
11
01
01
00
00
00
10
11
01
11
10
11
00
01
01
10
00
00
11
10
10
10
00
10
01
00
11
00
11
10
10
10
11
00
10
01
00
00
10
00
01
10
11
00
10
11
01
01
10
00
10
10
10
00
00
11
00
01
11
01
10
01
10
00
00
10
10
00
10
00
00
10
10
10
11
00
00
10
00
10
01
01
10
10
00
11
00
00
00
00
00
10
00
10
00
11
01
11
11
10
00
01
00
00
10
11
01
01
00
01
00
10
10
00
00
11
10
10
00
10
00
11
11
10
10
10
10
11
00
00
00
00
11
00
11
00
00
10
10
00
00
00
10
10
01
00
10
01
11
11
11
11
00
00
10
10
00
00
10
11
11
01
11
00
11
01
10
10
00
10
00
00
01
11
10
00
11
10
10
00
01
00
10
10
10
10
11
01
01
11
11
10
00
01
01
00
10
10
11
10
00
10
01
11
00
11
00
01
10
10
00
10
01
00
11
10
01
00
10
10
10
10
00
00
11
01
01
01
00
00
10
11
01
11
10
11
10
00
11
10
11
01
00
11
11
11
00
01
10
11
00
00
00
10
11
00
00
10
10
11
10
10
00
00
10
00
11
00
00
10
00
00
10
00
10
00
00
11
10
10
00
10
11
00
00
10
10
10
11
01
00
10
01
10
01
00
10
10
01
00
10
10
00
10
10
00
00
11
01
00
10
10
11
10
00
10
00
00
10
01
01
11
01
01
01
10
01
00
00
00
10
11
10
01
00
10
10
01
10
01
00
11
10
00
10
10
01
00
10
10
01
01
00
11
11
01
00
10
10
00
10
10
01
10
11
10
00
10
11
10
01
10
10
00
00
01
10
10
00
00
01
00
10
10
00
00
10
01
10
01
00
10
11
00
00
00
00
10
10
11
10
00
00
01
00
10
10
10
01
00
10
01
00
10
10
10
10
10
00
01
11
10
00
11
10
01
10
10
00
10
00
00
01
01
00
10
01
10
11
10
01
01
10
10
00
00
10
10
01
00
11
10
00
11
00
10
11
10
00
10
10
00
00
10
10
00
11
00
10
11
00
00
11
10
10
00
01
11
01
10
01
00
11
00
11
01
00
11
00
10
10
00
00
10
10
00
10
10
00
00
10
10
01
00
00
00
11
10
11
10
01
01
00
00
10
00
11
00
10
01
11
10
10
11
01
00
11
10
00
11
00
10
01
01
11
10
00
10
11
00
00
10
10
11
00
00
00
10
10
10
10
00
10
10
11
00
10
10
01
01
10
01
10
01
01
10
01
11
11
11
00
00
10
00
01
00
10
11
01
00
10
10
01
00
01
10
00
00
10
10
11
11
00
01
10
11
00
00
00
01
10
10
10
00
00
10
10
00
01
10
00
10
10
01
00
00
10
11
00
11
00
00
11
00
10
10
00
01
11
01
00
10
01
11
10
01
01
10
00
10
00
01
00
10
11
00
11
10
10
10
00
00
10
00
01
11
00
10
10
00
00
00
10
00
00
10
11
10
01
10
00
00
10
01
00
01
11
10
10
10
00
10
10
00
01
01
11
01
00
11
10
10
00
01
10
10
10
00
10
00
10
10
10
11
10
00
10
00
01
11
11
01
00
10
01
01
01
11
11
10
10
00
01
10
00
01
11
10
00
00
11
10
00
10
10
00
11
00
00
11
01
00
01
10
00
00
00
10
11
01
11
10
01
01
00
01
00
00
11
10
11
01
01
11
01
10
10
00
10
01
00
10
10
11
01
00
00
11
11
00
01
10
11
10
00
00
00
01
10
00
00
11
10
10
01
00
00
10
00
10
00
00
01
00
10
11
01
01
01
10
10
01
10
10
10
00
00
00
11
00
10
10
00
00
01
10
10
00
10
00
10
00
01
10
11
00
00
10
01
10
11
00
10
11
01
10
10
11
00
10
11
00
01
11
00
10
11
10
10
00
00
11
11
11
00
10
00
10
01
01
00
11
10
10
00
10
10
00
01
10
00
01
11
00
11
00
01
10
10
00
11
10
10
00
01
01
11
10
00
10
10
00
11
10
00
00
01
00
00
10
11
11
10
10
10
10
11
10
01
00
10
10
11
00
01
00
11
10
01
00
11
00
00
00
10
11
10
01
00
00
10
00
00
10
11
00
00
11
10
11
00
10
10
01
10
00
10
10
00
00
01
00
10
00
01
10
00
10
10
11
00
10
11
10
11
10
00
01
00
10
11
00
00
10
00
11
10
11
10
01
00
01
00
01
00
10
11
00
01
11
00
00
11
00
01
10
10
00
10
00
10
01
00
01
10
01
00
00
11
11
11
01
01
10
10
01
11
01
00
10
11
01
11
00
10
00
01
00
11
11
00
00
01
00
10
10
01
01
10
01
00
11
11
00
00
10
10
10
10
00
10
10
00
00
00
11
10
00
00
10
01
10
01
00
00
10
10
00
10
10
10
10
10
11
00
10
10
11
10
00
00
00
10
00
00
10
00
00
10
10
00
10
00
00
00
10
10
00
00
11
11
10
10
11
10
00
00
10
11
10
00
11
10
11
10
10
10
00
00
10
11
00
10
11
10
10
01
10
00
00
10
10
00
11
00
00
00
01
10
11
00
00
10
00
10
11
00
00
10
10
10
00
11
10
10
11
11
00
11
10
11
01
01
00
11
00
01
10
00
00
10
01
00
11
00
00
11
10
10
00
00
10
00
11
11
00
10
01
00
11
00
10
01
00
10
00
00
11
01
00
00
10
10
10
11
01
00
01
11
11
01
11
11
11
10
00
00
00
00
10
11
00
00
01
00
00
10
11
10
01
01
01
01
10
10
10
11
11
00
00
10
00
10
01
10
11
00
10
10
10
10
01
10
11
00
01
00
01
01
10
11
00
00
00
10
00
10
00
00
00
11
00
11
10
00
11
11
10
00
11
10
01
00
10
11
10
00
01
10
10
00
11
00
10
00
01
10
10
00
00
10
00
10
11
01
00
10
00
00
01
10
00
10
11
00
01
01
11
00
00
11
10
10
00
01
11
10
10
01
10
00
11
01
11
00
01
10
11
11
00
00
10
11
00
10
10
00
00
01
11
00
10
11
00
10
01
01
10
00
00
00
11
00
00
11
10
10
00
10
10
00
01
10
10
01
01
11
00
01
00
10
10
00
00
00
01
10
10
01
01
00
01
00
00
10
10
10
10
10
00
10
00
00
10
01
01
00
00
01
00
11
00
00
01
10
00
01
01
10
11
11
00
10
10
00
10
00
11
00
00
10
00
10
00
01
11
11
10
10
11
11
01
00
01
10
00
10
10
11
00
01
01
00
11
00
10
11
10
00
10
01
00
11
00
00
00
10
01
11
11
01
10
11
10
10
01
11
11
10
00
01
01
11
10
00
00
10
00
10
00
00
10
11
10
00
01
00
00
01
01
11
01
00
10
00
10
11
00
00
11
11
10
00
10
11
00
00
01
10
00
01
10
10
10
10
01
00
10
00
00
10
01
10
00
01
00
10
10
10
01
10
00
00
00
11
11
00
01
00
00
00
11
10
10
11
00
10
00
10
00
01
10
00
10
10
11
10
00
10
00
00
00
10
11
11
10
00
01
10
10
00
11
00
10
11
00
00
00
00
00
00
00
10
01
11
00
00
11
10
01
10
10
01
00
10
11
01
00
10
11
00
11
11
00
10
10
10
10
01
01
10
11
10
01
10
11
10
00
00
10
00
00
10
10
00
11
01
01
10
11
00
00
01
10
11
00
00
10
10
10
01
11
00
10
00
00
00
10
00
10
01
11
11
11
01
00
10
10
10
10
01
10
01
01
01
10
00
00
10
01
00
10
10
10
01
10
11
10
00
01
00
10
00
01
10
00
10
11
00
00
00
11
11
10
01
10
00
00
00
11
01
00
10
01
10
00
00
00
11
00
11
10
11
00
10
10
00
10
10
10
00
11
10
00
11
00
00
10
00
00
00
01
00
01
10
10
10
01
01
11
00
01
00
00
10
10
00
10
00
00
01
10
00
01
10
10
11
01
01
11
01
10
00
00
11
11
00
10
10
10
00
01
00
00
11
00
11
00
01
00
11
00
11
00
01
10
10
10
01
00
11
11
10
10
00
10
11
10
01
11
01
10
10
11
10
00
10
11
00
10
00
10
00
00
01
01
11
00
00
00
11
10
10
10
00
00
11
10
00
00
10
10
00
10
10
00
10
01
00
00
00
01
10
00
10
10
00
01
11
00
00
00
01
00
00
11
11
10
10
10
01
11
01
00
10
10
00
11
10
01
10
00
11
10
00
00
01
11
00
00
00
00
11
10
11
10
11
00
00
10
10
01
00
00
00
01
11
11
11
10
01
11
10
00
10
11
00
01
10
10
00
10
10
01
01
11
00
01
10
10
00
10
00
00
11
10
01
00
10
00
10
00
00
10
10
10
10
00
00
10
11
00
11
11
10
00
10
10
10
10
01
00
00
11
11
11
10
01
11
00
10
01
00
01
01
11
10
11
00
11
10
01
01
10
11
00
11
10
10
00
00
00
01
11
11
11
10
10
10
10
10
01
00
11
10
10
00
00
00
01
11
01
01
01
01
10
01
10
10
00
00
10
10
11
00
11
10
00
00
00
11
11
00
11
11
00
00
10
11
11
00
01
01
10
11
01
00
00
11
01
01
10
10
10
10
00
01
00
11
10
01
00
10
10
00
11
00
00
10
00
10
00
11
01
00
11
01
00
00
01
10
11
10
10
01
10
00
11
00
01
00
01
10
00
00
00
00
10
01
00
00
11
10
10
01
00
00
00
10
10
11
01
10
11
11
00
10
00
00
01
11
10
01
00
10
10
10
01
10
00
10
01
10
10
10
10
10
10
01
10
11
10
10
11
00
01
11
00
00
10
11
00
00
00
10
11
00
11
01
00
10
10
00
00
00
10
10
10
01
01
10
01
10
10
10
10
00
00
11
00
10
10
11
00
00
11
10
00
00
00
01
00
10
00
10
10
01
11
10
01
00
11
01
01
00
11
10
01
00
11
10
00
11
00
00
00
11
10
01
01
10
00
00
10
00
10
00
00
00
11
01
10
10
01
00
10
00
00
10
10
01
11
10
01
01
11
10
01
11
11
00
00
11
11
01
01
00
00
10
10
00
10
10
01
01
01
00
11
00
00
11
10
01
01
11
11
01
00
10
01
01
00
10
11
00
00
00
10
00
10
10
11
10
11
00
10
01
11
00
11
10
00
10
00
00
11
11
00
01
00
00
10
10
10
01
10
11
01
01
10
10
01
00
10
10
00
11
00
00
10
00
11
10
01
00
10
00
10
01
11
11
00
00
00
01
10
10
11
00
01
01
10
00
01
11
10
10
00
10
11
00
01
00
00
10
11
10
10
01
00
10
10
10
00
10
01
00
10
00
10
10
10
10
00
01
00
10
11
00
10
00
00
10
10
10
10
10
00
10
01
11
00
00
11
01
11
01
00
01
00
11
10
11
00
00
01
10
10
00
00
10
01
11
01
00
11
10
11
10
00
01
10
00
10
01
01
11
10
11
01
00
10
00
01
10
11
00
10
10
00
00
00
11
10
11
00
10
00
00
00
10
01
01
00
01
00
10
00
10
10
00
10
00
00
11
11
00
10
01
01
01
00
10
10
01
11
11
10
00
00
10
10
01
01
10
10
01
00
10
01
00
10
10
10
11
10
11
00
00
11
11
00
00
11
10
11
01
01
00
01
10
10
11
10
00
01
10
00
10
01
00
10
11
11
01
00
11
00
11
10
00
01
10
00
00
01
10
00
11
00
00
00
00
11
10
11
01
10
11
00
11
00
10
10
11
10
01
11
11
00
01
11
11
10
01
10
10
01
00
00
10
00
00
00
00
01
10
10
01
01
10
10
00
10
10
00
01
11
10
10
10
10
00
00
00
00
01
00
11
10
00
11
00
10
11
10
01
00
10
00
11
00
01
10
10
10
11
00
11
10
00
00
00
00
00
10
11
00
11
10
10
11
10
00
00
10
10
00
00
10
11
00
10
10
01
11
01
00
10
10
01
10
00
00
10
10
00
00
00
00
10
10
00
10
00
00
11
10
11
01
10
10
11
11
00
00
10
10
01
00
11
00
00
10
00
01
00
11
01
00
10
10
01
00
11
10
10
01
00
10
10
01
00
10
11
00
00
11
00
11
10
11
10
11
10
11
00
00
01
10
00
00
00
10
11
10
01
11
01
00
10
11
11
00
00
01
10
11
01
11
10
00
01
10
01
01
11
10
01
00
10
01
00
10
10
10
01
10
00
00
00
10
10
00
10
00
00
11
00
01
00
11
00
00
00
10
10
00
10
10
10
01
00
00
00
01
00
01
01
11
10
10
00
10
00
01
01
00
00
11
00
10
11
00
10
01
11
10
10
10
00
00
00
00
10
00
10
00
11
00
10
00
10
10
10
00
00
00
00
00
10
10
10
11
10
00
00
01
10
10
10
10
00
00
00
11
11
00
00
11
10
00
10
00
00
10
11
01
10
10
11
10
00
10
11
11
11
01
01
10
01
00
11
00
10
11
11
01
10
00
00
00
00
00
11
11
01
00
00
00
00
10
11
11
01
10
00
00
01
10
00
10
10
10
00
11
10
01
01
10
01
01
01
10
11
01
01
10
10
10
10
11
01
10
10
10
10
00
10
10
00
00
11
10
10
00
10
00
00
00
10
00
10
00
10
10
10
10
00
10
10
00
10
00
11
00
00
00
11
11
00
11
10
10
10
00
01
00
10
10
00
01
00
01
00
11
10
11
01
11
00
01
10
11
10
01
01
00
01
10
11
01
10
10
01
10
11
00
00
11
01
00
10
00
01
00
11
00
00
10
10
10
01
01
10
11
01
00
01
11
10
11
11
11
10
00
00
10
00
00
01
10
10
00
11
00
10
00
10
10
11
00
01
01
10
11
00
10
00
11
10
00
11
01
11
11
01
00
01
10
00
10
10
01
00
01
10
00
10
00
01
00
10
10
00
00
11
01
01
00
00
10
11
00
10
11
00
01
10
10
11
11
01
00
10
10
10
00
01
00
10
11
11
00
10
00
10
00
01
11
10
11
10
00
00
10
01
10
01
10
00
00
10
10
00
11
00
10
10
11
00
10
00
10
10
01
00
01
00
10
11
00
00
10
10
01
00
10
11
00
10
11
00
11
10
00
00
01
10
10
01
00
00
10
11
00
10
11
00
00
10
01
00
00
00
10
10
00
00
10
10
01
10
11
00
00
11
00
11
10
11
01
00
11
00
01
11
01
11
10
10
00
00
01
01
11
00
10
10
10
10
00
11
10
10
00
00
11
10
10
00
01
10
10
10
00
10
00
01
10
00
00
10
01
10
11
00
10
01
10
00
00
00
11
11
10
00
00
00
00
11
00
01
00
10
11
10
10
01
00
11
10
00
10
10
10
00
00
11
10
00
11
00
00
10
01
10
11
01
11
00
00
10
11
10
01
00
01
10
00
00
10
10
11
10
01
11
10
01
00
11
00
01
00
10
10
10
10
00
01
10
10
10
10
11
00
10
00
01
10
11
10
10
10
10
00
00
01
10
10
10
01
00
01
00
00
11
01
01
10
10
00
11
10
11
10
00
00
01
00
11
00
00
01
10
00
10
11
11
01
10
01
10
10
11
00
00
01
00
10
10
00
01
00
11
10
00
00
00
00
10
01
00
10
11
10
10
00
00
11
10
01
01
00
10
00
00
10
01
10
00
11
11
01
01
01
01
11
00
10
11
00
10
11
01
01
10
10
00
00
10
00
00
10
10
11
10
00
10
10
11
11
00
00
10
01
00
01
10
00
00
10
10
00
00
10
00
01
10
10
00
00
01
11
01
10
00
00
00
10
00
00
10
10
00
11
01
00
01
10
11
00
00
10
10
10
00
00
11
00
00
10
01
10
00
00
00
10
11
01
10
10
10
11
11
10
01
10
10
00
01
01
01
10
10
10
10
10
00
00
11
10
11
11
01
10
00
00
10
01
00
11
10
01
11
10
00
01
00
11
00
00
10
01
00
11
10
00
10
10
00
11
11
10
10
01
10
01
00
10
01
11
10
01
01
10
00
11
10
01
00
11
01
00
10
11
10
00
10
10
11
01
00
10
11
10
00
00
10
11
00
00
00
00
10
01
11
10
00
00
11
00
10
10
10
00
10
10
11
01
10
01
01
10
01
00
11
01
01
00
11
10
00
00
00
11
10
00
10
10
10
10
01
00
10
10
00
00
11
11
00
01
11
11
01
11
10
10
11
00
00
01
00
10
10
00
00
01
10
10
00
01
00
10
11
01
00
11
10
10
01
10
11
00
00
00
10
10
11
00
01
00
10
10
01
10
10
01
00
11
10
01
00
00
11
10
10
00
01
00
00
10
01
01
00
11
10
11
00
10
01
00
00
10
00
00
10
01
10
10
10
00
10
11
11
11
01
00
01
00
10
10
11
10
00
11
10
11
10
10
00
00
00
00
01
11
10
00
01
00
00
00
10
10
00
10
00
11
00
11
10
10
00
01
10
10
00
00
11
00
00
10
00
00
00
11
10
01
01
01
10
10
10
00
10
10
00
01
10
00
00
00
11
00
01
11
10
10
10
00
01
00
11
00
11
00
11
00
11
11
00
00
10
00
01
01
10
10
11
10
01
00
01
10
01
00
11
10
01
11
11
10
01
01
11
00
01
10
10
01
01
00
10
00
10
10
00
11
00
00
10
00
00
10
10
00
10
00
01
00
00
11
11
00
01
10
10
11
10
00
10
00
00
00
10
10
10
00
10
01
10
01
10
01
01
00
01
10
00
10
11
00
00
00
10
00
10
01
01
10
00
11
01
01
10
10
01
10
00
00
10
10
01
10
11
00
10
00
00
01
10
10
00
01
11
10
00
11
11
00
01
00
10
00
00
00
00
10
10
00
01
10
10
10
01
00
01
00
00
00
00
11
10
01
00
10
10
00
11
01
10
11
10
00
10
11
10
00
10
10
00
01
00
10
01
00
10
00
00
00
10
00
10
10
00
10
00
01
00
01
10
00
00
00
10
10
10
00
00
11
00
00
11
10
11
01
00
10
00
01
00
11
11
10
11
00
00
10
10
00
10
00
00
01
11
00
00
10
10
01
11
10
00
00
11
00
01
00
10
10
01
00
00
11
00
10
00
10
11
01
00
11
10
00
01
11
00
10
11
01
01
10
01
10
01
01
01
10
11
00
00
00
10
10
10
00
00
00
11
10
11
10
00
00
11
11
00
00
11
11
10
10
10
11
00
00
00
10
00
10
10
01
10
11
11
01
00
11
10
00
01
10
10
00
11
10
10
10
00
11
10
01
10
11
11
00
00
00
11
10
10
01
01
10
00
00
01
10
01
01
10
00
10
00
11
01
00
10
01
00
10
00
10
01
10
11
00
01
10
00
11
11
10
10
00
00
10
10
01
01
00
10
00
11
10
11
00
10
10
01
00
00
00
10
11
10
00
10
10
00
01
10
00
10
10
10
00
10
00
10
00
11
10
11
11
00
01
00
10
11
00
00
10
10
00
01
10
10
00
01
11
01
10
00
00
01
01
10
10
00
01
00
10
11
00
00
10
00
10
10
00
10
10
00
00
00
00
00
00
11
10
10
00
11
00
11
00
01
11
10
10
00
11
10
10
01
10
10
10
00
10
10
00
00
00
10
01
00
00
00
01
11
00
10
10
10
01
10
10
00
01
11
11
10
11
10
00
00
00
00
11
10
00
10
00
00
10
10
01
11
11
00
11
00
10
10
11
10
00
01
01
11
00
01
10
10
10
11
10
10
01
01
10
11
10
00
10
11
00
00
11
10
11
00
10
00
10
00
00
10
00
10
11
11
00
00
10
00
01
10
00
00
10
00
00
00
10
00
00
01
10
00
11
11
00
01
00
10
10
10
00
00
10
10
11
00
00
00
10
11
10
10
10
10
00
10
01
01
10
00
01
10
00
01
00
10
10
00
00
11
11
00
10
11
11
00
00
01
11
10
00
01
10
10
00
10
10
11
00
11
00
01
00
01
10
10
00
00
00
11
10
01
10
00
10
10
00
10
10
00
01
11
10
10
10
10
10
00
00
00
10
10
10
10
00
11
11
10
01
10
00
00
00
10
10
10
00
01
00
00
10
00
10
10
00
10
00
00
00
11
01
11
10
10
11
00
10
00
10
10
01
01
01
00
00
00
10
00
11
10
00
10
10
10
00
00
00
01
11
00
11
00
01
10
01
00
00
00
10
10
01
11
00
10
01
10
01
10
00
00
11
10
10
11
11
01
10
10
00
10
10
10
11
00
00
11
00
00
00
11
10
01
00
11
10
00
00
01
10
10
11
00
00
11
00
00
00
10
10
11
11
01
10
11
11
10
01
01
01
10
11
00
10
00
00
01
10
11
01
11
10
10
00
10
00
10
10
01
01
01
01
11
10
11
11
10
10
10
00
00
00
00
01
11
11
00
10
00
10
00
01
01
10
11
00
00
11
10
00
10
00
00
11
10
00
00
01
10
10
00
00
11
10
00
00
11
01
00
10
10
10
00
11
11
00
00
11
01
11
11
11
00
10
00
00
11
11
01
00
00
11
01
00
10
10
10
10
01
10
10
00
11
10
01
10
11
10
00
11
10
00
00
11
01
00
10
00
11
10
00
10
10
01
10
00
00
10
10
10
00
00
10
10
10
00
10
10
00
10
10
01
10
10
11
10
00
10
10
10
00
00
10
10
00
10
11
01
00
11
10
01
01
01
11
11
01
10
10
01
00
11
10
01
00
00
11
00
10
00
11
10
01
11
01
11
11
00
01
01
10
11
01
10
11
10
10
00
00
01
00
11
11
11
11
00
10
00
10
10
01
00
11
00
10
00
10
10
11
00
00
11
10
10
11
00
00
01
11
10
01
10
10
01
10
00
01
00
00
00
10
00
11
10
11
10
10
11
10
00
00
10
10
00
01
10
00
10
00
01
01
01
10
11
00
00
00
11
01
00
11
10
00
10
00
00
10
11
11
11
11
00
10
10
00
10
10
00
01
11
10
00
01
10
01
10
00
00
00
10
01
10
10
10
01
10
10
10
00
01
10
00
00
10
10
10
00
00
10
10
11
00
00
00
11
01
00
00
10
00
10
01
00
11
11
00
01
10
10
01
10
01
00
10
01
10
10
00
10
11
01
11
11
01
10
00
01
00
11
11
00
01
00
11
00
00
00
10
10
00
10
10
00
00
00
10
00
11
00
10
00
00
00
10
11
00
01
10
10
01
01
01
00
01
11
11
10
10
11
00
01
11
01
11
10
01
00
00
11
00
00
11
10
01
01
01
11
00
01
11
10
10
00
10
10
01
00
00
00
00
00
01
00
10
10
10
10
00
10
00
00
10
10
00
10
10
01
01
10
11
10
01
00
00
01
10
00
10
10
00
00
00
01
10
10
10
00
11
01
00
00
10
01
10
00
10
11
00
00
00
00
01
00
10
00
10
10
00
11
11
00
01
01
00
00
01
11
11
11
00
10
11
10
11
00
10
10
10
10
00
11
11
01
10
00
10
01
00
01
00
11
00
10
10
00
00
10
10
00
10
01
11
11
10
10
01
00
00
11
11
11
10
11
00
10
11
00
11
10
00
00
11
10
00
10
00
00
10
00
00
01
11
00
10
10
01
01
10
00
10
10
00
11
01
00
10
10
00
01
00
10
10
00
11
10
01
01
11
11
10
00
00
00
00
00
11
10
10
10
01
11
10
00
01
10
00
01
10
00
01
10
11
00
01
10
10
00
11
10
10
00
01
00
00
00
10
00
10
11
00
00
10
10
00
01
01
10
11
01
10
01
10
01
10
01
01
00
10
11
11
11
11
00
00
01
01
00
01
00
10
11
00
10
10
01
10
10
00
00
11
00
01
11
00
10
00
10
10
10
00
00
00
00
10
10
01
10
11
01
11
00
11
00
10
00
00
10
10
00
10
00
00
11
11
00
11
10
10
00
00
10
00
00
10
01
01
00
00
00
00
11
00
01
10
11
00
00
00
10
10
10
00
00
11
00
00
00
00
01
10
10
10
00
00
10
11
01
01
11
11
10
10
00
00
01
10
10
00
00
10
00
00
10
00
00
10
00
11
11
00
11
10
01
10
11
00
00
11
11
10
11
00
01
11
11
10
00
01
10
11
00
00
10
10
10
10
00
01
01
01
10
10
00
00
00
00
10
10
00
11
11
11
10
00
00
11
01
01
11
11
10
01
01
10
00
01
00
10
00
00
10
00
00
10
11
00
01
11
01
01
00
01
10
00
00
10
10
01
01
10
11
00
00
00
11
10
10
00
00
00
01
00
11
01
01
00
11
10
10
00
00
00
01
10
10
10
10
00
10
11
10
00
10
10
00
10
10
00
00
10
00
00
00
01
10
00
01
01
00
10
00
10
10
01
01
10
10
01
10
10
00
11
10
10
11
01
00
00
11
10
10
00
11
10
01
01
00
01
10
00
01
00
11
00
01
10
00
00
00
10
00
11
11
10
00
10
10
10
10
01
10
00
00
10
00
10
00
00
11
10
01
00
00
10
11
00
01
10
11
10
00
11
10
00
00
11
10
11
00
00
11
10
01
00
10
01
00
00
11
11
10
11
00
00
00
11
00
10
00
10
00
10
10
00
10
10
10
10
01
10
01
01
00
11
01
00
10
10
01
10
10
11
00
00
10
10
00
00
00
10
10
00
01
10
10
11
11
10
11
11
00
10
10
01
00
10
10
10
10
00
00
00
10
00
01
10
10
00
01
00
00
11
10
00
11
01
00
00
10
10
11
10
01
11
00
10
11
10
10
00
00
00
11
10
01
10
00
00
10
11
10
11
11
11
00
11
00
01
11
00
10
11
01
10
11
00
00
10
10
00
00
10
11
10
01
00
11
00
11
10
10
10
00
11
00
00
10
10
10
00
00
10
01
10
11
00
01
00
11
00
00
01
11
00
00
00
11
00
10
11
01
01
00
00
11
01
11
01
01
10
10
01
01
01
10
10
10
00
10
10
01
11
01
10
00
00
10
01
10
00
10
10
01
00
01
10
10
01
10
00
01
00
11
11
10
11
10
10
10
10
00
00
00
01
01
01
10
10
01
01
00
10
10
10
00
01
10
11
00
00
00
00
10
00
01
10
10
10
01
00
10
01
01
11
00
11
10
00
00
00
00
11
11
00
01
00
00
00
00
11
10
00
00
10
01
01
00
11
00
00
10
10
01
01
00
11
10
00
10
10
00
00
11
11
10
11
01
00
01
10
10
00
01
10
00
00
10
10
10
10
10
00
00
10
01
00
01
00
00
10
10
00
00
00
10
10
10
10
10
00
00
11
10
00
00
00
11
00
00
10
00
00
10
11
10
00
01
00
00
10
00
10
10
01
01
11
01
10
11
10
11
00
01
10
10
10
00
00
10
01
00
11
00
01
10
11
10
00
10
10
11
00
10
01
01
10
01
11
10
10
00
10
10
00
10
00
00
11
10
01
00
01
11
00
11
10
00
00
10
10
00
00
10
10
10
10
00
10
10
10
00
00
00
10
10
00
00
10
11
00
00
10
01
00
00
11
10
00
00
00
00
11
10
10
11
10
00
00
00
10
10
00
00
11
00
10
00
10
11
10
01
00
00
10
10
01
00
01
10
10
11
01
00
10
00
00
00
00
10
01
01
00
01
01
11
11
00
11
10
10
00
01
01
10
00
10
00
11
10
11
00
00
10
10
00
01
10
10
00
00
10
00
01
00
11
10
00
10
01
00
00
10
11
10
11
11
00
01
00
01
11
01
10
11
10
00
00
11
10
00
00
10
11
00
00
00
00
11
10
10
11
10
10
11
00
11
01
10
00
10
10
00
00
10
10
00
00
11
10
00
11
10
11
10
01
10
10
10
11
00
01
00
10
01
01
10
11
00
00
10
10
00
00
11
10
00
00
00
11
01
11
10
00
10
00
10
11
00
11
10
00
10
10
11
00
00
10
10
00
10
00
00
10
10
00
10
00
10
10
00
11
01
00
10
01
10
01
10
11
10
10
11
11
01
10
01
00
00
00
11
01
10
10
00
11
10
10
11
10
01
00
00
10
10
00
10
01
00
11
10
11
10
01
10
10
10
11
00
10
11
00
11
10
10
01
01
11
10
10
01
11
00
11
00
01
10
10
11
00
00
00
11
11
10
10
00
01
10
11
00
10
10
10
00
00
00
00
10
00
11
10
10
00
00
10
10
11
00
10
00
10
00
11
00
00
10
00
10
01
01
11
11
10
10
10
10
01
10
10
10
00
00
10
10
01
00
11
10
11
10
10
10
01
00
10
10
01
01
10
11
00
00
11
11
11
00
11
01
01
10
00
00
11
00
00
11
10
10
00
10
10
00
10
10
10
01
01
10
10
10
00
00
00
10
00
10
11
01
10
10
10
00
00
00
11
00
01
10
10
00
10
00
00
00
10
01
10
10
00
00
01
00
11
00
11
10
11
00
10
10
00
00
00
10
10
10
01
01
11
11
11
10
00
01
00
00
01
11
11
10
01
10
11
11
00
00
10
10
00
11
10
00
00
10
10
10
10
00
11
11
01
00
11
10
10
01
00
10
10
00
00
01
10
01
10
10
11
11
10
10
00
01
11
00
00
10
11
01
11
01
10
10
00
10
00
00
11
10
00
11
01
11
11
11
01
11
00
01
00
10
10
00
00
10
10
00
10
00
00
01
00
11
01
00
01
10
10
00
00
10
10
01
00
00
11
10
01
00
00
10
00
01
10
10
00
10
10
11
10
01
11
00
00
10
10
00
00
11
10
00
00
10
11
01
00
10
10
01
00
00
00
00
10
01
00
10
10
00
00
11
10
10
01
10
01
10
10
10
00
00
01
10
11
10
11
00
11
01
01
10
10
00
00
11
10
00
11
00
01
00
10
10
00
11
00
00
10
10
00
00
00
10
11
00
10
00
01
10
01
00
11
10
10
00
01
10
10
00
00
00
10
11
00
10
01
10
10
00
00
11
10
00
01
00
01
10
00
10
10
00
00
00
11
10
10
10
00
00
10
01
00
00
10
10
00
10
00
10
11
10
10
10
10
11
00
00
00
10
10
00
10
11
10
10
00
00
10
00
11
10
00
01
10
10
01
00
01
00
00
10
01
10
11
01
10
11
10
10
00
00
11
11
11
10
00
00
00
10
00
11
00
01
10
10
10
11
10
01
10
00
01
01
10
10
10
11
00
00
10
10
10
00
00
01
00
11
00
00
10
00
00
11
00
01
11
10
00
01
11
10
00
00
10
01
00
11
00
11
10
11
01
00
01
10
10
00
00
10
00
00
01
10
10
01
10
11
00
10
11
11
00
10
00
01
00
01
10
11
00
00
11
01
00
01
00
11
10
10
01
10
00
10
10
10
00
01
10
00
00
00
00
11
00
11
01
01
00
00
01
10
10
11
01
00
11
00
10
10
10
01
00
10
10
00
00
11
00
10
00
11
10
00
11
10
00
11
10
00
10
10
11
01
00
00
00
00
10
01
11
10
00
00
10
00
10
10
01
00
00
10
10
01
00
01
11
10
00
01
00
10
00
01
11
00
11
00
10
10
11
00
00
10
10
10
01
01
00
10
10
00
11
00
10
10
00
11
10
11
10
00
01
01
11
00
01
10
11
00
00
10
10
00
00
10
11
00
11
11
11
00
10
10
11
01
00
00
00
10
10
10
11
10
10
10
00
10
01
01
10
01
11
11
10
11
01
10
11
01
10
10
00
01
10
10
00
10
10
10
10
00
01
10
10
10
10
10
00
01
00
00
00
10
11
00
10
10
00
00
10
01
00
10
00
00
00
10
10
00
10
10
00
11
00
10
01
00
00
11
11
10
00
10
01
10
00
00
00
00
10
00
00
10
10
00
00
10
10
00
11
10
00
00
11
10
00
01
01
10
11
10
00
10
10
10
01
00
10
00
10
01
01
11
00
10
11
01
10
00
11
11
10
01
11
01
01
11
11
00
01
11
01
01
10
10
11
10
00
00
10
10
10
01
00
01
00
01
10
01
00
00
00
10
00
00
10
11
01
01
00
01
00
00
00
10
00
01
11
10
01
00
00
10
01
00
10
01
10
00
00
10
10
10
00
10
00
00
01
01
10
00
10
00
11
10
11
10
00
10
10
00
00
10
10
00
00
10
11
00
00
00
00
11
10
00
00
01
10
11
10
11
11
00
01
10
01
10
00
01
01
10
10
00
00
10
10
11
00
00
00
00
11
11
00
10
10
01
01
00
10
01
01
00
00
11
01
10
10
10
00
00
01
10
11
00
10
10
01
00
11
10
00
00
00
11
11
10
00
11
00
00
00
01
11
10
10
01
00
01
01
10
01
10
01
00
10
01
11
01
01
10
10
00
10
11
10
00
00
01
10
11
10
00
00
11
11
01
10
10
00
00
10
00
10
10
10
11
10
01
00
11
10
00
00
00
01
00
00
10
10
00
01
10
11
10
00
00
11
10
00
10
10
10
10
00
11
01
01
11
11
10
10
10
00
01
10
11
01
11
10
01
10
01
10
10
10
10
10
00
11
10
10
01
10
01
00
10
00
11
00
00
10
10
11
00
10
00
00
11
01
11
00
10
10
00
01
01
00
11
10
01
00
00
00
11
10
01
00
11
10
10
10
10
01
00
00
11
11
01
01
01
11
01
00
11
00
10
10
11
01
10
10
00
11
11
10
00
10
00
00
10
10
00
00
00
00
10
10
00
00
00
10
10
00
01
00
10
01
10
01
11
10
00
00
10
10
11
00
00
11
01
00
00
11
10
10
10
00
00
11
10
11
10
01
00
10
01
11
10
01
01
10
00
10
00
11
00
01
10
11
00
00
10
01
10
10
01
00
10
10
10
10
11
00
00
10
00
10
11
00
10
10
11
00
11
10
00
10
01
01
10
11
00
10
10
00
01
01
00
10
10
00
10
10
01
10
01
10
00
00
01
11
10
10
00
00
01
10
10
10
10
00
11
10
00
10
00
01
00
00
10
11
10
00
10
01
00
01
00
01
11
10
10
11
10
01
00
10
10
10
00
00
00
10
00
00
10
00
00
00
01
11
01
10
10
10
11
00
11
11
00
00
10
01
10
01
00
00
10
01
00
10
10
10
01
00
10
00
10
00
11
11
10
10
01
00
11
00
01
10
01
01
00
10
10
11
10
10
01
00
10
01
00
11
00
11
01
00
11
00
10
10
10
00
00
00
10
10
01
00
00
00
00
10
10
11
11
00
00
10
10
10
00
10
10
10
00
01
01
01
00
11
10
10
11
00
01
11
10
01
01
11
00
10
10
00
11
10
10
01
10
10
00
00
10
10
00
01
11
00
01
00
00
10
00
00
11
10
00
10
10
00
01
10
10
10
01
10
01
11
00
01
00
10
11
11
00
10
00
00
10
10
10
10
00
00
11
10
00
11
11
11
00
11
10
01
00
01
11
10
00
00
10
10
10
01
01
00
10
11
01
00
00
00
11
11
00
00
10
11
00
11
00
10
01
10
10
10
00
11
10
00
01
01
11
10
11
10
10
11
00
00
01
11
10
00
00
10
10
11
10
01
10
00
10
11
10
11
01
11
00
10
10
10
00
00
01
10
00
01
01
11
11
10
00
00
00
01
11
11
00
00
00
10
10
00
01
10
10
10
10
10
00
00
11
11
10
01
00
10
11
10
00
01
10
10
10
00
00
01
11
11
01
00
10
00
01
00
00
00
11
10
01
10
10
10
11
00
11
00
00
10
00
00
00
01
00
10
00
10
00
10
00
10
00
10
10
10
00
00
01
00
11
01
11
10
01
10
10
11
10
10
00
00
01
00
10
00
01
10
01
10
11
10
01
10
11
00
01
10
11
00
01
10
11
10
10
00
01
10
10
01
01
11
10
11
00
00
00
01
00
11
10
00
11
11
00
00
10
11
10
10
00
01
10
01
10
10
10
01
10
10
00
01
00
10
10
10
01
00
00
00
00
11
00
10
11
00
10
01
00
00
11
10
01
00
10
00
10
11
10
10
10
10
00
11
10
01
10
11
10
11
10
00
11
11
00
10
11
00
00
10
10
00
00
10
10
11
10
11
00
00
01
10
01
01
00
11
10
11
11
10
00
10
01
00
10
01
01
10
01
11
01
00
00
10
10
10
10
11
00
11
10
11
01
01
11
10
10
00
10
11
00
01
11
01
11
00
11
11
11
10
00
00
10
11
00
00
00
11
00
10
00
10
10
01
00
00
01
10
00
00
00
00
10
00
11
00
01
00
11
10
10
00
10
10
00
10
00
10
10
00
01
10
01
01
10
01
10
11
00
10
11
10
00
10
00
00
10
11
01
10
10
10
10
10
00
00
10
11
00
10
01
00
00
10
00
11
11
00
10
10
11
10
00
00
10
00
10
10
00
10
10
01
00
00
11
00
00
11
10
00
11
10
11
11
00
01
10
10
00
10
10
00
00
10
00
00
01
00
00
01
10
00
11
01
01
01
10
10
00
11
01
01
10
10
10
01
11
10
10
00
00
11
11
11
01
11
10
01
10
00
01
10
10
00
10
10
10
00
00
10
10
10
01
10
10
01
00
00
00
10
11
10
01
00
11
00
10
11
00
11
10
00
00
01
00
11
00
10
00
10
11
00
00
10
00
00
00
10
10
00
00
10
01
10
00
10
00
11
10
00
10
01
01
10
10
00
10
11
11
01
00
00
10
10
01
00
10
10
10
11
00
00
00
00
10
10
10
00
11
00
01
00
01
10
00
00
10
00
00
00
01
01
10
00
11
11
10
01
00
10
10
01
00
10
00
01
00
10
11
10
10
00
10
00
00
00
10
00
10
10
11
10
11
10
01
10
11
00
00
01
11
10
00
01
11
10
00
01
10
00
00
01
11
10
00
10
00
01
00
00
11
00
11
11
10
10
00
01
10
00
00
01
00
10
10
11
01
10
10
00
11
00
00
01
10
11
11
11
00
11
11
00
01
10
10
11
01
00
11
10
01
10
11
11
00
10
11
11
10
01
00
00
11
11
00
10
10
00
00
01
10
10
00
00
11
10
11
00
01
10
10
00
10
10
10
00
01
00
11
01
00
10
00
10
00
01
10
11
00
00
01
00
01
11
10
00
11
01
01
01
10
11
01
10
10
00
11
10
00
00
10
11
00
00
10
00
00
01
11
00
01
10
00
11
00
00
11
10
10
11
10
00
10
10
10
11
01
01
00
01
00
00
10
10
00
00
10
10
10
00
11
00
11
10
00
10
00
01
00
10
10
10
00
00
10
10
11
01
10
10
01
00
00
10
10
10
00
10
11
00
01
11
00
10
10
11
10
00
01
11
11
11
10
00
10
11
00
00
00
10
10
10
10
10
00
00
10
00
10
10
00
00
00
10
00
11
10
11
10
00
01
10
10
10
01
00
10
11
00
00
00
00
10
00
00
10
10
00
10
10
00
11
11
11
10
00
10
01
00
00
10
10
01
00
01
10
00
11
00
01
10
10
00
00
11
10
11
01
00
10
11
11
00
00
10
00
10
00
00
11
00
10
10
10
11
01
00
00
00
10
11
10
10
11
11
00
01
00
10
01
01
11
10
01
00
10
11
00
11
00
00
10
01
00
01
00
11
01
01
11
00
01
10
10
00
01
10
10
01
01
10
01
01
10
11
00
11
01
00
10
00
11
10
00
00
00
11
00
10
10
10
10
10
10
01
01
11
01
10
11
01
11
11
10
01
00
10
11
10
00
00
00
00
10
10
00
11
10
10
00
10
10
01
10
10
00
01
10
11
10
00
00
11
10
10
11
00
10
10
10
11
11
10
01
00
00
10
10
01
01
01
10
11
00
00
11
11
01
01
11
10
01
00
11
00
01
10
00
00
11
00
00
01
10
10
11
10
00
10
10
00
00
10
10
00
00
01
01
10
10
11
00
00
10
10
00
00
10
11
01
10
00
10
00
01
01
00
11
10
01
00
01
00
11
10
00
10
00
00
10
00
10
10
00
00
10
01
00
10
10
10
00
11
10
01
10
11
11
10
01
00
00
10
10
10
10
10
00
00
00
11
00
11
10
00
01
10
11
11
00
00
00
10
10
11
00
10
10
11
11
10
00
00
10
00
10
10
00
10
11
00
00
10
10
00
00
01
01
11
10
01
01
00
10
01
00
10
10
00
00
00
11
10
00
00
10
01
00
01
01
10
01
11
01
10
01
01
10
11
11
01
00
00
11
00
00
11
01
10
10
10
00
00
10
00
01
10
00
11
00
10
00
10
10
00
01
11
00
00
00
01
01
00
10
01
00
10
10
10
00
10
10
10
01
10
10
01
01
01
00
10
10
10
00
10
00
01
00
11
01
11
10
01
01
00
01
10
11
00
10
10
00
00
10
00
00
00
10
00
10
11
10
10
00
10
10
10
10
01
00
10
00
00
10
11
00
00
11
00
00
00
00
10
10
10
10
01
01
00
01
00
10
10
10
00
10
10
00
11
01
00
00
00
00
11
10
10
10
00
00
01
10
10
01
00
10
00
10
00
10
01
01
11
10
01
01
11
01
10
11
00
11
01
11
00
01
00
10
10
10
11
00
10
00
01
01
00
11
10
10
10
10
00
01
00
11
10
00
01
10
01
00
01
10
00
10
11
11
11
01
01
11
00
10
10
00
01
00
11
10
00
10
01
01
01
11
10
10
00
00
11
00
00
10
01
00
10
00
11
00
10
00
00
10
00
10
10
00
10
10
00
11
01
01
01
10
10
01
01
11
10
01
00
11
00
00
11
10
00
00
01
10
10
01
10
01
00
10
10
01
00
10
00
01
00
11
00
10
10
10
01
11
10
01
10
10
00
11
00
00
01
11
10
11
01
00
00
11
01
10
01
10
11
00
01
10
11
11
01
00
01
00
10
10
11
10
00
01
10
10
11
10
00
10
10
01
00
10
10
11
11
10
11
00
00
10
00
11
11
00
00
10
01
01
01
01
00
10
11
11
10
10
10
10
00
01
10
00
00
11
01
00
11
10
00
01
00
10
11
00
10
01
01
01
00
11
01
00
10
11
01
11
11
00
00
00
00
10
11
00
01
10
11
10
10
00
10
11
00
00
11
10
01
00
10
01
10
00
10
10
00
10
00
00
01
00
10
01
01
11
00
10
00
01
10
10
11
00
01
00
00
10
00
10
10
10
00
01
10
00
01
01
11
11
01
00
10
11
01
10
11
10
00
01
10
10
00
10
00
01
11
01
11
00
10
00
00
11
10
10
00
00
01
00
00
11
10
11
00
01
10
01
00
10
00
00
01
00
11
10
00
01
01
10
00
10
11
11
00
00
10
10
10
00
11
00
01
00
00
00
00
10
00
00
11
01
00
10
10
10
10
00
00
10
10
10
00
10
10
10
00
10
11
10
11
00
10
10
10
00
10
00
00
00
10
10
10
10
00
11
00
10
10
01
10
00
00
10
10
00
10
10
11
11
00
00
11
00
11
00
11
11
01
00
11
00
10
01
11
10
01
11
10
01
00
00
11
10
00
10
10
00
00
10
00
10
11
10
00
00
10
11
10
00
11
10
01
01
11
01
00
11
10
00
01
00
11
10
11
00
10
11
00
00
10
01
01
01
10
10
00
10
10
00
00
10
00
01
11
01
11
10
00
01
10
00
00
00
10
10
00
10
11
00
10
01
00
11
00
00
01
00
11
10
10
01
01
01
01
01
11
11
10
00
11
10
01
10
11
10
10
00
11
11
10
10
11
11
00
01
01
01
10
10
01
01
11
00
00
11
00
00
10
11
00
01
10
00
10
00
11
00
00
10
11
00
01
00
10
01
00
10
01
00
10
10
10
01
10
01
10
11
00
00
01
11
00
00
00
10
00
11
11
01
10
00
01
10
01
11
10
00
00
01
10
10
11
10
01
00
00
11
10
00
10
11
01
10
00
00
00
00
11
11
11
00
10
10
01
10
01
00
11
00
10
10
10
00
10
01
11
00
00
01
00
10
00
11
00
11
10
00
00
01
10
10
11
10
10
00
10
10
11
11
00
11
10
11
00
00
10
11
11
01
11
01
00
00
00
01
00
10
11
01
00
11
10
00
10
10
00
10
11
00
00
11
10
11
10
10
00
00
10
00
11
00
10
10
00
11
10
00
10
10
01
00
00
00
00
10
01
01
10
00
10
10
11
10
00
00
00
10
01
01
11
10
01
11
10
11
10
01
00
00
00
10
11
11
10
00
00
01
10
11
00
00
11
01
10
01
10
10
00
00
10
11
00
00
10
01
00
10
00
10
00
01
10
00
11
00
11
10
01
00
00
00
11
00
10
10
00
10
01
10
00
10
10
11
01
10
11
00
10
10
00
11
00
00
10
00
10
10
11
11
01
10
01
10
10
00
10
11
01
00
00
10
11
11
10
00
10
11
00
00
00
11
00
01
01
10
01
01
10
00
10
10
01
01
11
01
10
00
11
00
00
10
10
10
00
10
00
00
01
10
10
01
11
00
00
10
10
00
01
10
10
01
10
10
00
11
00
11
00
10
10
00
00
11
00
01
00
10
00
00
10
00
10
10
00
01
10
00
01
10
01
11
00
11
00
00
10
10
00
00
00
01
10
11
00
11
11
01
00
11
01
00
00
11
10
10
00
11
11
10
00
01
00
11
11
11
11
01
01
11
10
01
00
01
10
10
00
01
11
10
11
01
10
00
00
00
11
00
00
10
10
00
10
11
10
11
01
10
01
10
00
00
10
01
01
00
10
10
11
01
10
00
00
10
00
01
10
10
01
10
10
10
10
11
00
01
10
10
10
01
00
01
10
10
00
00
10
01
00
11
00
10
01
00
10
11
00
01
00
10
00
11
11
00
00
10
10
00
00
00
00
00
01
11
00
00
10
10
00
10
00
10
10
00
00
11
11
11
11
00
00
10
10
10
10
00
01
00
11
11
10
10
10
10
00
11
10
00
00
00
01
00
00
10
01
10
10
00
10
11
10
00
00
00
10
10
11
00
01
10
00
11
00
10
01
10
00
10
10
11
10
00
00
10
00
10
10
10
11
10
10
01
01
11
10
01
01
01
10
11
10
01
00
10
00
01
00
01
10
10
00
10
10
10
00
00
10
11
10
01
10
00
01
10
10
00
01
01
00
10
00
11
00
10
11
10
11
00
11
01
11
00
00
10
10
01
11
01
00
11
11
11
00
00
10
10
10
00
00
11
11
00
00
01
00
10
00
00
10
10
00
10
01
00
10
01
10
00
10
00
00
10
10
10
11
01
00
00
00
00
00
00
10
10
01
10
01
01
00
10
10
00
00
00
10
11
10
01
00
10
11
10
10
11
01
00
11
10
11
10
01
10
00
01
10
10
01
10
10
11
01
10
00
01
10
10
00
01
11
00
00
10
00
00
11
10
10
00
10
00
01
10
00
10
10
00
00
10
10
10
00
10
00
11
10
11
01
10
10
10
00
00
11
10
11
00
10
00
10
10
11
10
00
10
01
00
00
10
01
10
10
11
01
10
00
00
11
00
10
01
01
10
10
10
10
10
00
10
00
01
10
10
11
01
00
00
11
01
11
00
11
10
10
10
10
11
01
00
11
10
01
10
10
00
01
00
11
00
00
10
11
00
00
00
11
10
00
11
00
00
00
00
01
11
10
00
11
10
10
01
01
10
01
10
11
11
00
00
01
10
10
00
00
10
10
01
00
11
10
00
10
10
01
01
11
10
01
11
11
11
01
10
00
00
10
00
01
00
11
10
01
11
10
11
01
00
10
00
00
01
10
11
11
00
00
00
00
11
00
01
11
00
00
10
01
01
10
10
10
00
00
10
00
00
10
00
10
10
01
00
10
10
10
01
00
00
10
11
00
00
01
01
10
00
10
10
00
11
10
00
01
10
01
01
11
10
00
00
11
11
00
11
00
00
10
00
11
10
10
00
01
00
00
10
00
00
10
10
11
11
00
00
00
00
10
10
00
11
01
01
10
01
00
11
01
10
00
01
00
01
10
11
11
01
10
10
01
00
01
11
00
01
10
00
00
10
10
11
00
01
10
00
01
01
01
11
10
11
11
10
00
10
10
00
11
00
10
01
01
10
10
00
10
10
00
11
00
00
00
10
11
00
00
01
01
10
10
00
00
00
01
01
10
11
00
00
00
10
10
10
01
01
10
01
00
10
10
00
00
11
10
10
11
10
00
00
10
00
01
10
11
10
00
01
01
10
00
00
00
01
10
10
11
00
01
11
00
01
11
10
11
00
00
01
11
11
10
01
01
00
11
11
10
00
00
10
10
00
01
00
10
10
10
10
10
00
00
10
10
01
01
00
11
11
01
10
10
00
10
10
00
10
01
00
00
10
10
00
10
10
00
00
00
11
11
11
00
00
11
10
10
00
11
10
01
10
10
00
01
00
00
00
11
00
10
10
11
00
10
10
00
00
00
10
00
00
00
11
10
00
01
10
00
10
10
10
11
10
00
00
10
10
00
00
11
00
10
00
01
10
00
10
10
11
01
00
00
01
01
00
11
11
00
10
01
00
00
10
10
01
01
10
10
11
00
10
00
01
10
11
00
10
11
10
10
11
10
00
10
00
00
10
00
10
00
10
01
11
10
00
10
01
00
00
11
10
00
00
10
10
10
00
00
10
00
10
11
10
00
10
10
00
10
00
10
11
00
11
11
10
00
11
00
10
00
00
10
10
01
11
10
10
10
00
00
00
00
00
11
01
00
01
11
10
00
10
11
11
00
00
11
00
11
00
00
11
00
10
01
01
11
00
01
01
11
10
11
10
00
10
10
00
00
11
11
10
00
00
00
01
00
10
11
10
10
10
00
10
10
10
00
00
01
01
11
11
11
00
10
00
00
10
11
11
00
00
11
11
11
11
00
10
10
01
10
11
00
00
10
11
00
11
11
00
10
10
01
10
01
01
00
11
11
01
10
11
10
00
10
00
00
11
10
10
10
01
10
10
11
00
11
01
11
00
01
11
01
00
11
00
01
11
00
10
11
01
10
00
01
00
11
00
10
11
00
00
10
10
00
00
01
00
01
10
00
00
11
10
01
00
11
10
11
10
00
00
10
10
10
11
00
10
10
11
11
10
00
00
00
10
00
00
00
11
00
01
00
00
10
10
10
11
10
01
10
10
10
01
01
11
01
00
10
00
10
10
00
01
00
10
11
01
01
11
00
00
11
01
10
10
00
00
01
10
10
00
00
11
10
00
10
00
10
10
10
00
00
10
00
01
00
00
11
10
00
01
10
01
11
11
00
10
11
10
10
00
00
11
10
00
11
10
00
10
10
10
00
10
10
10
10
00
00
00
01
10
10
10
01
01
00
00
11
00
00
10
11
10
00
01
11
00
00
11
10
00
01
10
10
10
01
01
10
00
10
10
00
00
01
01
10
10
00
10
10
11
11
00
00
10
11
10
01
00
10
00
11
00
10
00
01
11
00
10
00
10
10
10
11
00
00
01
00
01
10
10
00
01
01
10
11
01
00
01
00
10
10
00
00
00
11
11
01
10
11
00
10
00
00
10
10
11
00
10
00
01
00
10
10
10
10
00
01
10
11
01
10
10
10
00
00
11
10
00
00
11
11
10
01
11
10
01
10
10
00
00
11
01
10
00
00
10
01
00
11
01
00
10
00
00
10
01
01
10
01
01
00
10
10
00
01
00
11
00
10
11
00
00
01
11
00
00
00
10
01
00
10
11
00
00
10
10
00
00
01
01
10
11
10
10
10
10
00
01
00
00
10
01
11
00
00
11
00
00
11
00
10
10
01
10
10
01
00
00
10
01
10
10
10
10
01
00
00
01
00
11
01
10
10
01
10
00
00
11
00
00
11
10
10
10
00
00
00
10
10
11
00
11
10
00
10
00
01
01
00
11
10
01
00
11
10
00
01
00
00
10
11
00
01
11
10
01
00
11
10
01
01
10
11
11
00
00
00
11
01
00
11
10
01
00
00
11
00
01
10
11
00
10
11
00
00
10
10
00
01
10
00
10
11
10
10
01
00
10
11
00
00
00
10
10
00
00
00
00
00
01
00
00
11
10
01
00
10
10
01
00
11
00
01
10
01
01
11
00
00
00
10
10
10
10
01
10
01
11
10
10
01
00
10
01
01
00
10
11
10
00
00
00
10
10
10
11
10
00
00
10
11
10
10
01
01
00
11
11
00
11
00
00
00
01
11
11
01
00
00
00
00
10
11
10
00
10
00
00
10
10
11
00
00
11
11
00
00
10
00
00
10
00
11
10
00
10
10
11
10
00
10
11
00
01
10
00
00
10
10
10
10
00
10
11
10
00
10
11
01
10
10
01
10
10
10
00
00
10
10
00
00
11
11
10
10
10
11
10
00
00
10
10
01
11
00
10
00
00
00
00
10
01
00
10
01
00
10
11
10
11
00
00
00
10
10
01
10
11
00
10
01
11
01
00
01
00
11
10
01
00
01
00
10
00
10
10
01
10
10
00
00
00
00
11
10
10
01
10
01
10
00
01
11
00
00
00
10
00
10
10
11
00
10
00
00
11
01
10
01
01
00
11
00
11
00
00
10
00
10
10
10
01
10
00
00
01
00
01
11
11
00
10
00
00
00
11
00
00
01
00
00
00
10
00
10
11
10
00
00
10
10
00
00
01
11
10
11
00
11
10
00
10
10
00
00
10
10
00
01
01
10
10
00
01
00
11
10
01
00
01
10
00
00
11
11
10
01
00
01
01
11
00
00
11
11
00
01
10
10
11
10
10
00
00
11
10
11
01
00
10
00
01
00
11
10
10
00
00
00
01
01
11
00
11
00
01
00
00
10
10
10
10
00
01
00
10
01
11
00
00
10
10
10
00
10
00
01
10
01
00
10
00
01
10
10
10
00
10
01
01
11
11
10
10
11
11
11
00
10
01
10
01
10
10
00
00
10
11
01
11
11
00
01
11
10
01
00
10
10
00
11
10
01
01
10
10
01
11
01
10
11
01
00
01
10
00
01
10
00
10
10
01
10
11
10
10
00
11
10
01
10
10
10
01
10
00
10
00
00
10
11
00
01
10
00
01
11
10
10
10
00
00
11
10
11
11
00
00
11
01
10
10
10
11
10
10
00
00
00
00
00
01
00
11
00
10
01
11
00
11
10
00
01
10
00
11
10
00
01
11
10
10
00
01
01
10
10
01
00
11
00
10
10
00
01
01
00
10
00
00
11
01
11
10
00
10
10
10
11
00
00
11
00
11
10
10
01
11
01
00
10
01
10
00
00
00
11
00
01
10
10
10
10
11
10
10
00
00
00
10
00
00
10
00
10
10
11
11
10
10
00
01
00
00
10
00
00
00
01
10
10
00
10
00
10
01
11
01
00
00
10
10
01
11
00
10
00
11
00
11
10
01
00
10
10
00
10
10
00
00
00
00
11
11
10
01
00
00
11
11
00
10
00
11
00
11
11
01
00
01
00
10
00
00
10
00
00
10
01
00
00
10
11
10
00
11
01
01
01
10
11
00
10
10
01
10
00
00
10
00
01
11
10
10
10
10
01
00
00
11
00
00
00
00
00
00
00
10
10
00
00
00
01
00
10
00
01
10
10
00
01
01
11
11
00
00
11
10
00
00
11
10
10
00
01
11
01
10
11
10
10
01
10
01
01
10
00
01
10
11
00
00
00
00
00
11
01
00
00
01
00
00
10
01
00
00
01
10
10
10
10
00
00
10
10
00
01
10
00
10
10
11
00
00
00
10
00
01
00
10
11
00
01
11
00
01
11
00
10
01
10
10
10
11
11
10
00
01
00
10
11
00
00
00
11
10
10
10
00
00
00
00
00
00
10
00
10
11
10
11
01
00
01
10
11
10
01
10
00
00
00
00
10
10
00
10
11
01
00
10
10
10
11
11
00
01
00
11
10
11
00
00
01
11
00
10
10
01
10
10
00
10
10
11
10
10
01
00
00
01
00
11
10
10
01
11
01
00
01
10
01
11
00
00
11
10
01
10
10
11
10
00
00
01
11
11
10
00
10
11
10
01
00
10
00
01
11
00
10
10
00
11
01
11
10
00
00
01
10
11
01
10
00
00
00
10
00
00
11
10
00
10
01
10
01
10
01
10
11
01
00
01
11
10
00
00
11
11
01
00
11
11
00
00
00
10
10
01
00
10
00
00
00
00
10
10
10
10
00
00
00
10
10
11
10
00
00
00
10
10
00
10
00
01
00
10
10
00
00
11
00
00
11
00
10
10
11
00
10
01
01
00
11
11
01
10
00
00
00
10
01
11
11
00
10
11
10
00
00
10
10
00
01
01
10
11
01
10
11
00
10
00
00
11
11
10
00
00
10
10
11
00
01
10
11
00
11
00
01
00
00
10
10
01
00
11
10
00
00
01
00
01
01
10
00
01
01
00
10
10
00
11
11
00
11
10
10
00
00
11
00
01
10
00
10
10
00
00
10
10
10
11
10
00
00
10
10
00
01
11
00
10
00
01
01
11
01
11
10
00
11
10
00
01
11
10
00
11
00
01
00
00
10
01
10
01
00
01
01
01
00
00
01
11
10
00
11
10
01
11
00
10
10
00
00
00
11
10
00
10
11
11
00
11
00
00
11
00
00
01
11
01
01
10
10
11
10
11
00
11
00
00
00
10
00
00
10
10
01
01
01
10
11
10
10
10
00
00
11
01
00
11
10
10
01
10
00
00
00
01
10
10
00
01
11
11
11
00
10
10
00
01
10
10
00
01
10
11
00
01
00
11
10
10
10
00
11
11
11
01
01
01
11
10
00
10
10
01
00
10
11
00
00
10
10
00
01
01
10
10
11
00
00
00
10
10
10
01
00
10
10
01
10
10
00
10
00
10
00
11
00
00
00
00
00
01
10
10
00
00
10
00
00
00
00
10
00
10
10
10
00
10
00
10
01
00
01
00
10
11
01
01
01
00
10
11
10
11
00
01
10
11
11
10
10
01
11
01
11
11
10
01
01
00
01
11
10
00
00
11
10
00
00
11
00
11
10
01
11
00
00
01
10
01
00
11
01
10
10
00
10
10
11
00
00
10
00
11
11
00
10
00
00
01
10
11
01
10
01
10
10
01
01
10
10
10
11
10
00
00
00
00
00
10
00
00
00
00
00
00
10
10
10
11
00
00
11
10
00
00
10
01
00
11
00
10
11
01
01
00
10
10
11
00
00
11
10
01
00
10
00
01
01
11
01
11
00
00
10
00
01
10
10
01
00
00
01
01
00
00
00
11
10
01
10
11
00
11
11
01
10
00
00
00
11
10
00
01
01
11
11
11
00
00
11
11
10
00
00
10
01
00
11
00
00
10
11
00
00
00
11
11
00
00
10
00
00
00
10
00
01
00
10
10
10
00
11
11
00
00
01
10
00
00
10
10
00
00
11
11
00
00
10
00
01
00
01
00
11
00
01
11
10
01
00
11
00
10
10
00
10
10
00
00
11
01
11
10
10
10
11
11
00
00
00
00
00
00
10
11
00
10
10
00
10
10
00
01
10
00
10
00
01
00
01
10
01
00
00
00
00
10
10
00
10
10
11
10
11
00
01
11
00
10
10
10
01
01
10
10
00
10
10
01
01
00
11
01
11
10
00
00
10
00
01
10
00
11
10
00
00
01
10
10
00
10
10
00
10
11
01
10
00
10
00
10
00
01
00
10
00
00
10
10
11
10
10
10
01
00
10
11
00
00
10
00
00
10
10
00
01
10
11
00
01
00
00
01
10
01
00
11
10
10
10
00
10
10
00
00
10
00
10
10
00
00
10
10
10
01
01
10
11
11
10
01
01
10
10
10
00
00
01
10
10
01
10
00
00
00
11
10
01
10
00
00
00
00
00
11
10
00
10
00
01
10
00
10
01
10
11
10
00
10
01
10
00
00
11
10
00
11
10
00
01
00
10
01
01
11
11
00
10
00
11
00
00
10
11
01
00
10
11
10
10
11
00
11
00
10
00
00
01
01
10
11
11
10
11
10
00
00
10
10
10
00
00
10
10
01
00
11
10
00
10
00
00
00
11
10
01
10
10
10
10
00
01
11
00
01
00
01
11
01
10
00
01
11
01
00
10
10
10
10
11
00
01
01
11
01
11
00
10
11
01
10
10
00
00
10
11
01
10
01
00
00
00
00
00
01
10
01
01
10
10
00
10
01
11
10
01
00
01
11
00
00
10
01
10
10
10
01
10
10
11
01
00
10
10
00
10
11
00
10
11
01
01
10
00
00
00
01
10
11
00
00
00
01
10
00
00
10
11
10
01
11
00
10
11
00
00
10
10
00
00
10
00
00
11
10
10
10
10
00
11
11
00
11
10
00
11
10
00
11
11
00
00
00
10
00
10
10
00
00
01
10
10
11
01
00
01
10
00
11
01
00
10
10
00
10
00
11
11
00
10
00
01
00
00
10
10
10
00
01
00
10
10
00
10
00
10
11
01
00
00
11
11
10
10
00
11
00
10
10
00
11
10
00
10
10
10
11
00
01
10
11
10
00
11
01
00
11
00
00
10
11
00
00
00
10
11
00
01
01
10
00
00
10
10
01
10
01
10
11
00
11
10
00
00
10
11
01
00
10
11
10
00
01
00
01
10
11
11
01
10
11
01
01
01
10
10
01
00
10
11
00
01
10
11
00
11
00
10
00
00
01
10
00
00
10
01
10
11
10
01
10
00
00
11
01
00
10
00
10
10
01
01
11
10
10
10
10
00
00
11
10
10
00
10
10
00
00
11
00
10
10
01
00
10
11
00
00
00
01
00
10
00
10
10
10
00
11
11
10
00
11
10
00
10
10
10
10
10
01
10
00
00
01
00
10
00
01
01
00
11
10
00
10
00
01
11
00
00
10
11
00
00
00
10
10
00
11
00
10
00
11
10
10
00
00
00
10
10
10
10
10
10
01
11
00
00
00
10
00
10
00
00
10
11
10
10
01
00
10
11
00
00
00
00
00
11
01
01
00
01
00
11
01
00
11
10
00
11
00
01
00
10
10
00
00
11
10
00
00
00
10
00
00
10
01
10
00
10
00
01
01
10
00
01
00
10
01
00
01
10
10
10
01
11
01
01
01
01
10
11
11
10
01
10
11
01
11
00
00
11
11
01
10
01
00
10
10
01
11
11
00
00
00
00
01
10
10
00
01
00
01
00
10
10
00
11
01
10
11
00
10
01
00
00
10
10
00
10
00
10
11
01
10
11
10
00
01
00
11
10
00
01
10
01
10
10
00
01
10
11
00
00
00
01
10
10
00
00
10
10
01
01
00
11
00
10
01
00
01
10
10
00
10
10
00
11
10
10
10
11
10
00
00
10
11
01
10
00
00
10
11
10
01
00
10
10
00
01
11
00
00
11
10
00
10
10
00
00
01
00
01
11
01
10
11
10
00
01
10
10
00
10
01
11
00
10
10
01
00
10
10
11
01
00
11
00
01
01
11
00
00
11
11
00
10
10
01
00
11
00
11
10
01
01
10
11
01
10
11
10
00
00
11
00
01
00
10
00
00
00
10
11
00
01
10
11
11
01
11
10
01
00
00
01
00
10
10
11
11
11
00
01
10
10
10
11
00
01
11
10
10
01
11
01
00
11
11
10
10
11
00
00
10
10
01
10
00
00
01
00
00
00
11
00
10
10
10
01
00
10
11
11
01
01
10
10
00
10
00
00
00
10
11
00
11
10
10
00
00
01
01
01
10
00
01
11
01
10
00
00
10
11
10
00
01
00
10
00
11
10
10
00
10
10
01
00
00
10
01
00
00
11
10
01
01
00
11
00
00
11
10
00
10
10
00
10
00
00
11
00
10
10
00
10
10
01
00
10
10
11
10
00
01
10
01
10
10
01
00
00
00
11
10
00
11
11
10
00
01
10
11
00
01
00
01
11
10
00
00
00
11
10
10
10
10
00
00
10
10
00
00
00
10
00
01
01
10
01
01
10
10
00
00
00
10
00
11
01
00
00
00
01
00
10
10
00
00
01
00
11
10
00
11
00
10
01
11
00
10
01
10
00
00
10
10
00
10
10
10
10
11
01
10
00
00
00
01
10
10
01
10
10
10
00
01
01
00
10
10
00
00
10
10
00
00
10
10
00
00
11
11
10
00
00
01
01
11
01
01
10
00
10
01
11
10
10
01
10
00
10
10
11
00
11
00
00
10
00
01
10
00
10
11
01
00
10
10
10
01
11
10
00
10
10
11
00
00
00
11
11
01
01
10
00
10
00
00
10
10
00
00
01
01
01
10
01
00
00
00
10
11
01
10
10
11
11
00
10
10
00
00
11
01
10
00
00
00
00
00
11
11
01
10
11
00
10
11
01
01
10
10
10
01
10
10
00
00
10
11
01
10
00
01
00
00
00
10
10
00
11
01
01
11
11
11
00
11
00
10
11
01
01
10
10
10
10
01
01
10
11
10
00
11
11
00
00
11
10
10
10
11
00
00
00
11
01
01
10
10
10
00
10
10
00
01
10
00
10
11
11
10
00
00
01
01
00
11
10
00
00
11
01
00
10
10
00
01
10
00
01
00
01
01
10
10
10
00
10
11
00
11
10
11
00
01
11
10
10
01
01
01
10
11
00
10
10
00
01
11
10
01
10
10
10
00
00
11
11
01
11
10
10
11
10
10
11
01
10
01
00
00
10
00
00
00
00
11
01
11
01
00
11
10
10
01
10
10
10
10
00
10
11
00
00
00
00
10
00
00
10
00
00
11
00
00
01
01
00
00
01
00
00
10
00
10
10
01
00
10
00
10
00
00
10
00
10
11
00
00
00
00
00
10
10
11
01
10
11
00
10
11
10
01
10
11
00
00
10
11
00
00
00
11
00
10
11
00
11
00
00
11
11
10
01
00
01
01
00
11
01
11
11
11
00
00
10
00
01
10
10
01
11
00
10
11
00
10
10
00
10
00
00
11
00
01
11
00
10
10
01
10
10
00
01
00
11
11
00
00
00
00
11
10
00
01
10
00
00
10
11
01
11
10
00
10
10
10
10
11
01
01
10
11
00
00
10
10
00
11
01
11
11
00
01
11
10
11
11
00
01
10
10
10
11
00
01
10
11
00
10
00
10
00
01
10
10
00
10
10
00
11
11
00
11
10
00
01
10
11
11
10
00
00
00
01
10
10
10
00
00
00
00
10
10
10
00
00
11
00
10
00
00
01
10
00
11
00
01
10
00
10
10
10
01
00
00
01
00
10
11
10
10
01
10
11
00
00
00
00
01
10
10
11
10
00
00
01
11
11
00
01
10
01
01
00
00
11
00
10
00
10
10
11
00
00
10
00
00
10
01
01
00
10
00
11
00
10
11
10
00
00
00
10
00
10
00
00
10
00
10
00
10
00
10
00
10
01
10
10
00
10
10
11
00
10
11
00
01
10
00
00
01
11
01
10
10
01
00
01
00
10
11
00
01
11
10
01
00
10
00
00
11
11
01
00
10
11
11
10
01
01
10
10
00
10
00
01
10
00
10
10
00
00
10
01
01
11
00
01
11
00
10
11
01
10
11
00
10
10
01
11
11
10
00
10
01
01
10
10
00
00
01
00
11
10
00
01
10
10
00
10
11
10
01
00
01
10
10
01
01
00
10
00
00
10
00
00
10
10
11
10
10
10
01
10
01
11
10
10
00
01
00
10
10
01
00
10
01
00
10
10
10
10
00
00
00
11
11
01
11
00
00
10
00
01
01
01
11
10
11
11
11
10
01
10
00
10
10
00
10
10
00
00
00
10
11
11
10
10
00
00
10
00
01
11
00
10
00
00
01
01
11
10
10
00
01
00
11
10
00
10
00
10
11
10
00
10
10
01
01
00
11
00
00
00
01
00
11
10
00
00
00
00
10
10
01
00
11
10
10
00
00
01
10
00
10
00
00
01
00
01
10
10
00
11
01
10
10
00
01
01
00
10
11
11
01
00
00
01
11
11
10
11
00
10
00
00
01
00
00
11
11
10
00
01
00
00
10
10
00
01
01
00
11
00
11
10
10
00
10
11
01
00
00
11
00
00
00
01
10
10
10
10
01
10
00
00
10
01
10
11
01
00
10
11
00
00
10
10
10
00
00
11
00
10
01
11
01
01
00
00
10
10
10
00
01
11
10
10
10
00
01
00
00
10
11
10
10
10
10
01
10
00
11
01
11
11
00
10
00
10
01
00
11
10
00
01
11
10
00
10
10
00
00
10
00
01
01
10
10
00
10
10
00
10
10
10
00
01
11
00
00
11
11
00
11
10
01
00
11
00
00
10
00
00
10
00
00
00
11
10
10
01
00
11
00
11
11
10
01
00
10
11
11
00
01
10
11
10
10
10
00
00
11
10
00
10
01
00
10
10
00
01
10
00
10
00
11
10
00
10
10
11
00
00
11
00
10
00
10
10
00
00
00
01
00
00
11
11
01
11
00
01
11
01
11
11
11
00
10
00
00
11
01
00
11
01
10
10
00
11
11
01
01
10
10
00
00
01
00
10
10
00
00
00
01
00
11
10
10
01
00
01
00
10
10
10
10
10
01
00
11
11
11
01
01
00
01
00
10
10
01
00
10
10
00
11
11
10
00
10
00
01
10
00
11
11
11
00
00
11
10
00
11
00
00
10
10
00
00
10
01
00
00
11
01
00
10
11
01
10
10
10
11
01
10
00
00
10
01
10
00
01
11
00
10
00
00
10
11
10
00
10
01
11
10
01
10
10
01
10
11
01
00
00
10
10
01
10
10
00
10
10
00
00
10
00
10
10
00
00
11
10
01
00
01
00
10
00
00
11
00
11
10
11
00
00
01
10
10
00
00
10
01
01
01
01
10
00
01
00
11
00
00
10
00
00
01
10
10
10
00
10
00
01
00
01
00
10
00
01
10
10
11
01
10
10
10
00
10
10
00
00
10
10
10
11
00
10
10
10
00
01
00
00
00
10
10
10
10
00
00
00
11
10
11
10
11
01
00
00
01
10
11
10
00
00
10
00
01
10
10
00
01
10
10
00
00
10
10
10
10
11
10
10
01
00
01
00
01
10
00
01
01
10
01
11
10
10
01
00
01
10
10
00
10
11
11
11
00
10
11
11
00
01
01
00
00
01
00
11
10
10
10
01
01
11
10
00
10
10
11
10
00
00
11
00
10
10
01
00
00
10
10
00
10
01
00
11
11
00
01
01
00
00
00
00
00
01
11
11
01
10
00
00
01
00
10
10
00
01
11
10
00
00
11
11
10
10
10
11
01
11
01
01
00
00
10
00
00
10
11
00
00
11
11
10
10
01
00
01
00
00
10
01
00
10
01
10
01
00
11
10
10
00
10
00
01
00
10
10
01
10
00
10
00
00
00
00
00
00
11
00
10
10
10
10
00
00
10
00
00
11
01
10
01
00
00
10
00
01
00
00
10
11
10
00
00
11
00
01
10
10
01
01
00
10
00
00
00
10
10
11
01
00
10
00
01
00
00
00
10
11
00
10
10
10
00
10
00
01
01
01
01
10
11
00
00
10
11
01
00
00
11
00
10
01
00
11
10
01
10
11
00
10
01
01
00
10
10
00
00
11
00
10
10
00
00
00
10
10
10
01
10
11
10
10
01
00
01
00
10
10
00
00
11
10
00
00
11
10
01
01
10
11
00
01
01
00
10
10
00
11
00
01
11
10
01
01
01
00
10
11
00
00
01
10
00
11
00
01
00
00
00
00
10
10
10
00
01
11
01
11
11
11
00
11
00
01
10
10
00
10
00
00
01
10
00
01
10
00
00
00
01
01
10
00
10
10
10
10
00
00
01
00
01
10
00
10
00
10
00
00
10
10
10
10
10
00
01
10
01
11
00
11
01
01
10
10
00
01
00
00
11
10
00
10
11
00
10
01
00
11
11
10
10
00
10
10
00
00
10
10
10
10
00
00
10
11
01
00
00
10
11
00
00
10
10
10
01
00
00
00
01
01
10
01
10
11
00
00
10
10
00
00
10
10
11
10
10
00
10
00
11
01
10
00
01
10
01
00
00
11
11
10
10
00
01
00
01
00
10
11
00
01
00
01
10
10
10
10
10
00
01
01
00
11
01
10
10
11
00
01
00
10
00
00
10
10
00
11
01
00
00
01
00
10
11
00
00
00
01
10
10
00
10
00
01
01
11
00
11
10
11
10
00
01
11
01
00
11
11
11
00
10
11
01
01
10
10
10
10
00
01
10
00
00
10
01
10
11
00
00
00
10
00
10
00
01
01
00
10
10
10
10
00
00
00
00
01
01
11
00
10
10
00
00
00
00
10
10
10
10
01
00
01
01
11
00
01
11
01
10
11
11
10
10
11
00
01
00
01
10
10
11
00
00
10
11
10
10
00
00
01
01
00
10
00
01
00
01
00
11
10
10
10
00
10
01
01
10
11
10
11
01
10
11
00
01
11
00
01
10
10
10
10
00
00
00
10
11
10
00
01
00
11
10
00
01
10
10
00
10
10
01
10
11
00
00
10
00
00
10
11
00
01
01
11
00
10
10
00
00
00
10
11
11
10
01
10
01
00
00
00
11
10
00
00
10
10
10
10
01
10
10
10
10
10
01
11
10
01
00
11
00
00
10
10
00
01
10
00
00
00
00
00
10
00
00
10
00
11
10
11
11
10
11
01
01
11
00
00
01
01
10
01
00
10
00
00
10
00
01
00
10
10
10
00
00
10
00
10
00
10
00
00
11
11
10
10
10
10
00
10
11
10
00
01
00
00
10
00
00
00
11
10
10
01
00
00
10
10
00
01
01
10
00
00
10
00
11
10
00
00
10
11
00
00
10
00
00
11
10
10
00
00
01
11
00
00
10
00
10
00
01
11
11
10
00
10
11
00
10
01
00
10
10
11
10
11
10
00
10
10
11
11
11
01
01
10
10
10
10
00
00
10
00
00
11
01
00
01
10
10
00
01
11
11
10
01
00
10
01
00
10
11
10
00
10
10
00
10
10
01
00
00
00
11
10
10
11
00
00
11
01
01
01
11
01
11
10
10
10
00
10
10
00
11
00
11
01
00
00
10
10
00
10
10
01
01
11
10
11
01
00
11
01
00
10
00
10
00
01
10
00
00
10
01
10
11
00
11
10
00
10
00
00
11
11
10
00
10
10
01
10
01
10
10
01
01
11
11
00
00
01
01
01
10
10
00
01
10
10
01
01
00
10
11
11
10
01
00
10
11
01
00
10
10
00
01
10
10
01
01
10
10
00
10
11
11
00
00
10
00
00
11
01
00
00
00
10
10
10
01
11
10
10
11
00
00
00
01
01
11
10
10
00
00
10
10
00
00
10
00
00
01
10
01
10
10
10
10
00
00
00
11
11
00
10
10
00
10
10
00
10
01
00
01
10
11
10
11
10
00
10
10
00
00
01
10
11
01
10
11
11
00
10
11
01
10
00
00
00
00
10
00
10
11
01
10
01
10
01
10
11
11
00
01
00
00
10
11
10
10
01
00
11
00
10
00
11
01
01
01
11
10
01
10
10
11
01
00
10
00
01
00
10
10
10
11
00
00
00
10
00
01
00
11
10
11
01
01
10
10
10
00
11
00
00
11
10
10
10
00
01
10
11
10
01
00
10
11
00
00
11
10
00
11
11
00
01
10
00
10
10
00
00
10
10
10
01
00
11
00
10
10
11
00
00
10
11
00
00
10
10
00
11
11
10
10
11
00
11
01
01
00
11
10
10
10
00
00
10
00
01
10
10
01
00
10
11
10
00
00
10
10
00
01
00
00
11
10
01
10
00
01
10
01
00
11
10
10
00
01
01
11
11
10
00
11
00
01
10
10
00
01
11
01
00
10
10
11
01
11
10
00
00
00
00
10
00
00
10
10
01
00
00
11
10
00
11
10
00
00
10
10
10
11
00
01
10
01
11
00
11
10
00
10
10
00
00
10
11
00
00
01
00
00
10
11
00
10
00
01
10
01
10
10
10
01
10
01
10
10
01
00
00
00
01
10
01
00
10
00
00
11
00
11
11
00
00
10
00
00
00
10
00
01
10
01
10
10
10
00
00
00
00
10
11
00
10
00
10
10
00
00
10
10
00
00
00
10
10
00
00
10
01
10
00
01
10
11
10
00
11
00
11
00
00
10
01
01
11
01
01
00
00
01
11
10
00
00
10
00
00
10
10
00
00
10
00
00
00
10
00
10
11
00
00
00
00
11
11
11
10
10
00
00
10
10
10
01
10
00
00
10
01
01
00
00
00
00
01
01
01
00
11
10
11
01
10
10
00
00
10
10
00
00
11
11
00
01
01
00
11
10
00
00
00
10
00
11
11
00
00
10
00
10
01
00
11
00
11
01
00
10
00
11
10
01
00
00
10
11
00
11
00
00
00
10
10
10
10
01
00
11
10
00
00
01
10
00
00
11
11
00
10
11
10
10
11
10
00
10
00
10
01
01
10
11
11
10
01
10
00
00
00
11
11
00
11
00
00
10
10
11
00
10
00
00
10
00
00
10
00
10
00
10
10
00
10
10
01
00
00
00
11
01
01
11
01
00
01
00
00
11
10
00
00
10
10
00
00
00
00
01
10
11
00
10
00
00
00
00
10
00
10
00
10
00
10
10
10
10
11
01
00
11
11
11
01
10
11
00
01
01
01
11
10
00
11
10
01
00
00
11
01
10
00
00
11
10
01
10
11
10
01
01
01
00
11
10
01
00
10
10
10
11
01
00
00
10
01
11
00
00
10
10
11
11
00
00
11
10
00
00
10
11
10
01
00
10
00
10
10
00
10
10
00
01
10
10
00
10
01
10
00
01
11
00
10
01
00
10
00
10
00
00
10
00
00
01
10
00
11
11
01
00
01
10
11
01
01
00
10
11
00
01
11
10
00
10
10
00
00
01
10
00
01
01
10
10
11
00
01
10
11
10
00
00
11
11
00
10
10
00
00
00
00
10
11
10
10
01
11
10
00
01
10
11
10
00
01
00
00
10
00
00
10
00
11
00
01
10
01
00
00
10
01
11
11
00
10
01
01
10
10
10
00
11
00
01
11
00
01
11
01
01
10
00
10
00
00
01
10
10
00
00
01
10
01
01
01
01
00
00
01
00
10
00
10
10
10
00
00
00
00
00
10
00
01
00
10
11
00
10
10
00
10
10
00
00
10
00
00
11
10
00
01
11
00
00
10
01
10
11
01
10
10
00
00
10
11
00
11
00
00
01
00
11
10
10
00
01
11
01
11
11
00
00
10
00
10
01
01
11
10
10
10
10
01
00
00
11
10
01
00
00
10
00
11
01
10
11
10
00
01
10
10
00
00
10
00
00
00
10
11
00
00
00
00
11
11
00
10
10
00
10
00
00
10
00
00
00
11
11
00
10
10
00
11
10
00
01
10
11
10
01
10
00
00
01
10
01
11
11
10
00
00
01
10
10
10
10
11
11
00
00
00
00
00
01
10
11
00
10
01
00
11
00
00
10
10
10
10
01
01
10
10
01
00
10
11
00
01
11
10
11
10
01
10
10
10
01
01
10
00
00
10
11
11
00
00
01
11
11
10
10
00
01
01
10
11
00
10
00
01
00
10
11
01
01
10
11
10
01
00
10
00
10
00
01
01
01
11
01
11
00
00
00
10
10
00
00
10
10
10
00
00
10
01
00
00
00
00
01
10
11
10
00
00
00
01
11
00
01
10
00
01
11
11
11
01
00
10
10
00
00
11
01
01
01
10
11
00
10
10
01
01
11
10
00
10
10
10
00
00
10
10
01
00
00
10
00
00
10
10
00
11
10
00
00
00
00
00
11
11
00
01
00
10
00
11
01
11
10
01
10
10
00
00
10
11
11
01
00
01
10
10
10
01
00
10
10
01
01
10
10
10
10
01
00
00
00
01
10
00
10
10
10
10
00
00
00
00
10
01
01
10
10
11
00
10
10
01
10
00
00
11
00
00
01
10
01
01
10
11
11
00
00
10
10
01
11
10
00
10
01
10
10
10
00
00
00
00
10
11
10
01
11
00
00
01
10
10
10
00
11
10
00
10
10
00
10
10
00
01
10
00
01
10
01
00
10
11
11
01
01
01
10
00
00
10
01
01
10
10
10
00
00
10
00
11
10
11
00
11
01
00
10
00
00
11
10
00
10
11
00
00
10
10
10
00
00
10
10
11
01
00
00
01
00
10
11
10
00
01
11
01
10
00
10
10
01
00
11
11
01
11
10
01
10
00
01
10
11
10
01
00
10
11
00
01
10
00
10
11
00
00
11
10
01
01
10
10
00
00
01
10
11
11
10
10
00
00
01
01
11
10
10
00
10
10
00
10
00
00
00
01
10
10
10
11
01
10
00
01
01
10
11
00
00
11
00
10
11
01
00
01
11
00
11
11
01
00
10
10
10
00
01
11
11
00
00
11
10
01
10
00
00
01
10
11
10
00
00
01
01
10
00
11
11
10
01
10
10
00
11
11
01
00
11
10
01
10
00
01
10
10
00
11
11
10
01
11
10
11
11
01
10
10
00
01
00
11
10
10
10
01
10
00
00
10
00
00
10
00
00
00
00
00
10
10
00
01
00
11
11
00
10
01
00
10
00
01
00
01
10
10
01
10
10
11
10
01
00
10
10
10
00
01
00
11
10
00
00
10
10
00
01
11
10
00
00
00
11
10
10
00
01
10
01
00
01
10
00
11
01
10
10
10
00
00
11
01
01
00
10
00
11
10
00
11
10
00
00
11
11
10
10
00
10
10
00
00
00
10
11
10
00
10
00
00
00
10
10
01
01
10
11
10
01
00
10
10
00
10
00
00
00
00
00
11
11
10
10
01
10
11
00
10
10
00
10
11
10
01
10
10
00
11
11
10
00
01
00
11
10
00
11
10
10
10
10
00
10
00
10
10
00
00
10
11
10
10
01
00
00
10
10
10
01
00
10
11
10
00
00
10
11
11
01
10
01
00
00
10
10
00
00
00
10
00
00
10
00
00
10
00
00
10
10
00
10
10
10
00
00
10
00
10
10
01
10
00
00
11
00
10
00
10
00
00
00
10
00
01
01
10
10
10
11
00
10
01
11
00
00
01
10
11
00
01
01
01
00
11
10
10
10
00
01
10
00
01
00
01
00
00
10
00
00
11
11
11
10
00
00
11
10
01
10
11
00
00
00
00
00
10
10
00
10
11
00
10
10
10
11
01
00
10
01
11
10
10
01
01
10
00
00
10
00
01
11
10
00
00
11
11
00
01
10
11
00
11
01
10
10
10
11
01
00
11
01
11
10
01
10
11
00
00
00
10
01
00
01
00
11
10
10
10
00
10
10
00
00
00
11
00
11
01
00
10
00
11
10
10
00
11
00
10
10
00
01
00
00
00
11
11
01
11
01
11
11
01
10
10
11
00
01
00
11
11
10
00
00
10
10
10
10
00
11
01
01
00
11
10
00
10
00
00
01
10
10
00
11
11
00
10
10
11
01
00
10
11
00
01
10
11
00
11
11
11
00
00
01
00
10
10
11
11
10
01
00
01
10
10
00
00
00
11
00
01
11
01
01
10
01
10
11
00
11
01
01
10
10
10
00
00
10
01
00
00
10
01
00
00
10
11
01
00
01
11
10
00
00
10
10
10
00
10
10
00
01
00
10
01
11
01
00
10
10
10
11
10
01
10
11
00
00
00
10
00
10
00
01
01
00
01
10
00
01
01
01
10
00
00
10
10
00
01
11
00
10
00
10
01
00
11
11
10
00
00
01
00
10
11
11
00
00
00
00
01
10
11
01
00
10
01
10
10
00
00
10
10
00
00
00
00
11
00
00
10
10
00
10
00
00
00
10
00
10
01
10
10
10
01
00
11
10
01
10
10
00
10
00
00
00
10
11
10
10
00
10
00
00
10
11
01
10
10
11
10
10
01
10
00
00
10
00
00
00
10
10
00
10
01
11
10
00
11
11
10
11
10
00
00
00
00
10
11
01
10
10
00
00
00
00
01
10
10
10
10
11
00
01
01
00
10
01
11
00
00
10
00
00
10
00
00
01
10
00
00
11
11
00
11
11
00
00
10
10
10
00
00
10
10
10
11
11
11
00
00
00
10
10
01
00
10
10
00
11
11
10
10
11
00
00
01
00
10
10
00
10
01
10
01
11
10
00
10
00
00
00
10
10
10
01
11
01
11
10
00
10
10
00
00
01
01
01
11
01
11
10
10
00
10
11
10
00
10
11
00
01
10
01
01
00
10
10
00
11
00
01
01
00
10
00
11
10
10
01
11
01
00
10
10
00
11
00
00
11
01
11
00
10
10
10
00
01
00
11
00
11
00
01
10
00
11
10
01
00
10
10
10
00
10
10
01
10
10
00
00
00
01
00
11
11
01
10
01
01
11
00
00
11
10
00
01
01
11
10
00
00
10
00
00
10
10
01
00
01
10
00
00
00
10
10
01
01
10
11
00
10
11
10
10
00
00
00
11
01
00
00
01
10
10
10
01
10
00
10
10
01
00
11
01
00
01
00
00
10
10
00
00
00
10
10
11
10
11
10
00
10
00
00
11
10
01
10
10
01
00
11
01
01
10
01
00
10
10
00
00
10
10
00
11
00
11
00
10
11
00
01
10
10
00
01
10
11
00
01
10
11
11
00
01
10
00
00
10
11
01
11
11
10
11
00
10
00
01
10
10
00
01
11
10
10
00
10
10
00
00
10
10
00
00
10
00
10
00
00
01
00
00
10
00
00
10
10
10
01
10
00
10
01
10
11
00
00
10
11
00
10
01
00
10
11
00
10
00
10
00
10
00
01
11
01
00
00
10
10
11
01
11
10
00
10
01
00
00
11
10
01
10
10
00
00
10
00
00
10
10
01
00
00
10
01
00
11
01
00
00
10
10
00
00
11
11
10
00
00
10
10
10
01
00
00
10
10
10
00
10
10
10
10
01
00
00
10
01
11
01
00
00
11
10
11
00
11
10
00
00
11
01
00
10
10
00
00
11
01
01
11
00
00
11
01
10
10
00
01
10
11
01
00
11
00
00
10
00
00
10
10
01
10
00
10
11
00
11
00
10
01
01
10
01
10
10
01
11
10
00
00
01
00
00
01
10
00
11
00
00
10
00
00
11
10
01
10
01
00
10
10
00
00
11
00
01
01
01
00
10
00
00
10
11
10
10
01
11
01
10
10
00
00
00
00
10
10
00
11
10
10
10
10
00
00
10
11
11
10
11
00
11
00
00
10
00
00
11
10
00
00
10
00
10
11
10
01
10
10
01
11
01
00
01
11
01
00
10
11
01
00
10
10
00
00
00
10
11
01
00
11
10
11
00
10
00
00
10
10
10
01
00
11
10
00
11
00
10
01
10
10
00
10
00
00
10
10
10
10
00
10
10
10
00
00
11
10
10
00
10
00
11
10
00
11
10
01
00
10
10
10
10
11
10
01
01
11
10
00
00
01
11
11
00
10
10
00
00
10
11
11
10
01
10
01
11
10
10
00
00
11
10
01
10
11
01
01
00
10
10
01
01
10
01
00
10
00
11
11
01
11
00
00
00
10
10
01
01
10
10
10
00
10
10
00
10
10
01
00
00
01
00
10
10
10
10
10
10
11
11
10
01
10
01
10
00
00
10
00
00
10
10
10
10
11
11
01
00
10
10
10
10
00
11
10
10
01
10
11
10
01
00
10
01
11
11
10
10
00
11
11
00
00
11
00
00
11
00
11
10
10
00
00
11
10
01
00
01
10
01
00
10
10
00
10
10
00
00
10
10
00
00
00
01
00
11
11
10
10
10
10
00
10
11
00
00
00
00
01
11
01
11
10
00
01
01
00
00
11
10
01
00
00
00
00
10
10
00
10
11
10
00
00
00
01
10
00
10
00
00
01
10
10
00
01
11
00
10
10
00
00
10
00
00
01
00
00
00
00
10
10
10
10
11
00
11
10
10
10
00
01
00
10
10
10
10
10
00
10
00
01
00
00
11
10
10
00
00
01
00
10
10
10
00
10
01
00
10
11
11
10
10
01
01
10
00
00
10
01
01
01
01
00
01
11
00
01
11
11
00
10
10
01
01
11
10
00
01
00
01
01
10
11
00
10
10
10
00
10
10
00
10
00
00
11
00
10
11
10
00
11
00
00
10
11
00
10
11
11
00
11
00
00
11
10
10
00
10
10
01
11
01
11
00
00
00
10
10
01
11
10
00
00
10
01
11
00
11
10
11
01
01
10
01
01
11
00
11
01
10
11
01
10
01
00
11
10
10
00
00
10
10
01
10
01
11
11
10
01
00
11
00
00
11
00
11
11
00
00
10
01
00
00
00
00
10
00
10
11
00
00
01
00
00
00
10
00
00
11
00
10
01
11
10
00
10
00
10
11
11
00
01
00
11
10
11
00
11
11
10
10
00
10
00
10
10
10
10
01
10
00
00
10
01
10
00
00
01
00
10
00
10
10
00
00
01
00
01
10
00
00
11
10
00
00
11
01
10
11
00
11
00
10
01
10
00
10
01
01
10
00
10
01
00
01
00
11
00
01
00
10
10
01
01
10
11
10
10
00
01
00
00
11
11
11
00
10
10
10
00
01
11
11
10
00
10
10
00
01
10
00
10
10
00
00
00
10
11
11
00
11
00
10
00
00
11
11
00
01
00
11
00
10
00
10
11
01
11
10
01
10
11
10
10
00
01
11
10
10
00
10
11
00
11
01
00
10
01
00
10
00
00
10
10
11
01
10
00
11
10
10
01
11
11
11
11
01
11
10
01
01
00
10
10
10
00
11
10
11
00
10
01
00
10
11
10
00
11
01
11
10
00
01
00
10
01
01
10
00
00
10
01
00
10
00
11
00
00
00
11
01
00
11
10
11
00
10
01
00
11
11
10
00
10
10
11
00
00
10
01
00
00
00
10
10
10
10
00
10
10
00
11
01
00
01
10
10
10
10
00
00
00
10
10
10
10
10
10
10
00
00
00
00
11
10
01
00
11
10
10
11
10
11
11
00
00
00
01
10
00
00
10
00
10
01
00
00
11
10
10
00
01
00
10
00
01
00
00
10
11
01
01
11
11
01
10
00
00
11
10
00
10
10
00
10
10
11
11
01
10
11
10
01
11
10
01
01
11
10
00
01
11
01
00
00
10
01
11
10
11
00
00
10
00
00
11
11
01
10
11
10
00
01
10
10
01
00
10
01
10
10
00
11
10
10
10
00
00
10
10
10
01
10
00
00
00
10
10
10
00
00
00
01
11
00
10
00
00
01
01
10
00
00
01
11
00
01
10
00
11
11
01
10
01
00
10
10
11
01
10
11
01
10
11
10
11
00
01
10
00
00
00
00
10
00
10
10
11
10
00
10
10
01
00
00
01
11
11
11
10
01
10
11
11
01
01
11
10
10
00
01
10
00
11
11
00
00
11
10
10
10
00
11
00
10
00
00
10
10
00
00
10
10
10
10
01
11
00
10
00
01
10
10
01
10
00
00
11
00
00
11
00
10
10
11
00
11
10
10
01
11
11
01
11
10
10
00
01
10
11
00
11
10
01
11
10
00
10
10
00
00
10
11
10
11
00
10
10
11
11
00
00
00
00
11
00
11
11
01
00
01
11
11
11
01
00
10
00
01
10
10
01
10
00
10
11
00
00
00
11
01
10
00
00
10
10
00
11
00
11
10
00
10
01
10
11
10
00
00
00
01
10
10
10
01
01
00
00
11
00
10
10
01
11
10
00
00
11
00
11
10
11
00
01
00
11
00
10
10
00
11
01
00
00
10
11
00
11
00
10
11
00
11
10
01
00
00
00
11
10
01
10
11
11
00
10
10
00
00
11
10
00
10
10
10
11
10
11
00
01
00
00
10
00
10
01
10
10
10
00
00
00
10
10
00
10
11
00
11
11
11
01
10
00
00
00
10
01
10
11
00
00
10
01
10
10
10
00
00
11
10
00
01
11
00
10
00
01
10
10
10
01
10
01
00
00
00
11
01
10
00
00
11
10
10
11
10
01
00
01
10
00
00
00
10
11
00
01
00
00
00
00
01
10
00
00
00
11
10
11
00
11
00
10
00
00
00
10
11
00
11
00
01
00
00
01
11
10
01
00
00
00
11
11
10
00
00
00
00
10
11
00
00
10
10
11
01
00
10
10
00
01
11
00
10
01
10
11
00
00
10
10
10
00
10
10
10
00
00
00
01
10
10
10
00
00
00
11
10
11
10
00
10
11
11
00
00
10
00
10
00
10
01
01
10
10
10
10
10
01
10
11
10
11
01
10
01
11
00
00
00
00
11
10
11
00
01
10
11
10
00
11
11
10
10
11
11
10
00
01
10
11
00
00
11
00
01
00
11
11
10
10
01
00
11
10
00
00
10
11
01
00
10
00
00
11
10
01
00
00
10
10
00
00
10
10
10
11
00
11
00
01
11
10
00
00
00
11
11
10
10
01
00
00
11
10
10
00
11
01
11
01
10
10
11
01
01
10
10
01
00
00
01
11
11
10
10
00
00
00
01
11
11
00
00
01
11
10
10
01
00
10
10
00
11
11
01
00
00
10
00
10
10
11
01
10
01
11
11
10
11
00
01
10
10
10
11
10
00
00
01
00
10
11
11
00
10
00
10
11
00
10
01
00
11
00
00
10
10
10
10
11
00
01
01
01
10
00
10
00
11
00
00
11
00
00
10
10
10
11
00
10
11
00
10
10
11
10
11
11
00
01
00
00
00
11
10
01
00
10
10
00
11
00
01
10
00
00
11
10
00
00
10
11
01
10
00
00
10
00
00
10
00
10
10
01
00
00
11
00
11
11
00
10
01
01
10
01
00
00
11
11
01
01
11
10
00
11
10
11
00
01
00
10
01
00
10
10
00
00
10
00
11
00
10
00
11
00
01
01
00
01
00
10
11
11
10
10
01
01
11
00
00
10
00
10
00
00
10
00
00
10
10
01
00
00
00
10
10
11
10
11
10
00
11
10
00
01
10
10
01
10
01
00
01
00
11
10
11
00
00
10
10
00
00
00
00
00
10
11
11
00
00
00
10
00
10
10
01
00
00
00
10
10
00
01
11
00
00
00
00
10
11
10
00
11
11
10
01
10
10
11
00
00
01
10
11
10
11
10
00
10
00
10
01
01
11
10
00
10
10
00
00
11
10
00
00
11
10
00
00
10
10
01
10
00
00
10
01
00
11
11
00
11
00
10
10
00
10
10
00
01
11
00
10
11
00
00
10
00
00
00
01
10
10
10
11
00
00
01
00
01
01
10
10
00
00
10
11
01
00
10
10
00
11
01
01
10
10
00
00
00
00
11
10
01
11
10
01
01
11
01
00
10
11
10
11
00
01
10
00
00
00
00
11
11
10
11
00
00
01
11
11
00
11
10
00
01
00
11
11
10
00
00
10
10
01
00
01
00
00
10
11
00
01
00
10
01
01
00
10
00
00
01
00
11
10
10
01
01
10
10
00
01
10
11
00
00
10
10
00
00
01
10
10
01
00
00
10
01
00
10
00
11
10
10
10
01
00
00
01
00
00
00
10
00
00
10
11
00
10
10
00
10
10
10
11
00
10
00
01
10
01
00
00
10
00
00
10
10
00
10
10
10
10
11
10
10
00
10
00
00
10
10
10
10
10
00
11
00
10
10
11
01
00
01
10
11
10
01
00
01
00
10
00
11
10
01
01
00
10
00
01
10
01
00
10
11
00
01
10
00
00
10
00
10
10
10
01
00
01
00
00
11
00
10
01
01
11
01
00
00
10
10
10
10
00
00
00
00
10
11
00
01
00
10
00
10
00
00
10
10
10
00
00
10
10
10
00
00
00
11
10
01
11
10
00
00
10
10
00
01
10
01
11
01
00
00
01
10
10
00
10
00
10
11
10
00
00
11
11
10
11
00
10
10
00
11
10
10
00
00
11
11
10
10
11
00
00
00
00
11
10
01
00
01
00
01
00
00
10
10
10
11
01
00
00
00
10
00
00
11
10
10
00
01
00
11
00
10
00
00
01
00
01
11
01
10
10
11
11
00
00
11
10
11
10
00
01
01
00
10
10
01
01
01
01
10
11
01
00
01
11
11
01
11
10
10
00
01
10
00
00
00
10
11
10
01
11
00
11
01
11
11
01
01
10
00
00
00
01
10
01
01
10
10
10
00
11
00
00
10
10
10
00
01
10
11
00
01
00
10
00
10
00
10
10
01
00
01
00
10
01
00
10
11
00
11
11
00
00
00
00
11
00
01
11
11
11
01
00
10
10
10
00
00
11
11
00
00
01
00
00
00
10
01
10
10
00
00
10
01
00
00
10
00
10
10
00
10
10
01
00
10
00
00
11
00
00
10
11
10
01
10
11
11
00
00
00
01
10
10
11
00
11
00
10
10
00
11
01
10
10
01
10
00
10
00
00
00
00
00
10
01
11
01
10
10
01
01
11
10
11
01
10
00
00
01
10
01
00
10
00
01
00
11
10
00
00
10
00
00
01
10
10
00
01
00
00
10
10
01
00
10
01
00
11
01
11
10
10
00
00
00
10
00
01
10
10
01
10
00
01
11
01
10
10
00
00
00
11
10
10
10
11
00
01
00
00
11
11
00
00
00
10
00
10
11
10
00
00
00
11
00
10
11
01
00
00
10
11
01
10
00
00
10
00
10
01
10
00
00
10
00
00
10
10
10
00
01
01
10
10
11
01
00
00
10
10
00
10
10
00
00
01
11
10
11
10
01
00
10
00
01
10
11
11
00
10
00
00
00
01
10
11
10
00
10
01
00
01
00
11
00
00
00
11
00
10
01
00
10
00
00
10
01
10
11
00
00
11
10
00
00
00
00
00
10
00
01
00
01
00
01
11
10
00
10
10
00
11
01
00
10
10
10
00
01
10
10
01
00
00
01
00
11
01
00
10
01
10
00
10
00
10
00
00
11
01
10
00
10
01
11
01
00
11
00
00
10
00
10
11
01
01
11
00
00
10
10
00
01
10
10
10
00
00
11
01
00
11
10
11
00
01
00
10
10
11
00
00
11
11
00
00
00
00
10
00
10
11
10
00
10
10
00
00
11
11
01
00
10
10
11
10
00
00
10
00
10
11
11
00
00
00
11
10
01
00
10
11
00
11
00
00
01
01
00
11
10
00
10
00
10
10
11
01
00
10
10
11
10
01
00
00
11
00
11
01
10
10
10
00
00
00
00
10
10
01
11
10
10
00
00
11
01
10
01
00
11
11
10
00
00
10
10
00
00
00
00
00
00
01
00
00
00
10
10
00
10
10
11
10
10
01
11
01
10
00
00
10
11
10
10
00
00
00
00
10
10
10
11
10
10
10
01
01
00
11
00
01
10
10
10
10
10
00
00
10
00
11
01
01
11
01
11
11
10
00
11
11
10
01
00
11
00
11
00
01
11
11
00
11
00
01
10
10
01
00
00
10
11
00
01
00
10
10
10
11
00
00
01
00
10
01
01
10
00
01
01
11
10
00
10
01
00
10
10
00
00
01
00
10
10
00
00
00
10
01
01
11
10
01
10
10
01
01
01
00
10
10
00
10
10
10
01
01
10
00
00
10
01
10
00
01
10
01
00
01
10
10
00
00
10
10
10
00
01
10
11
00
10
01
01
10
10
00
00
10
10
10
00
10
00
10
10
10
00
01
00
10
00
01
11
00
01
11
00
01
10
10
00
01
11
00
00
10
01
10
01
00
01
00
00
11
10
01
10
00
00
00
00
11
10
11
10
00
10
10
10
00
11
00
00
11
00
10
11
00
00
01
10
10
10
10
00
10
01
11
10
11
01
11
01
10
10
00
00
01
00
01
11
10
01
10
01
10
10
10
00
00
10
10
00
11
10
00
00
00
10
00
11
10
01
01
00
10
01
10
10
11
00
00
01
10
10
00
10
11
10
11
01
01
00
11
10
11
00
10
10
10
00
01
00
11
10
00
10
00
00
10
11
10
00
00
10
10
10
11
00
00
10
11
11
00
10
00
00
10
00
10
00
10
00
00
10
01
00
01
00
10
10
11
01
10
01
00
11
10
10
11
00
00
11
10
11
10
10
00
00
01
01
10
11
10
00
00
01
10
00
00
01
01
00
10
11
00
01
01
11
10
10
10
00
11
10
00
00
00
01
10
00
11
00
11
01
10
10
00
00
11
11
10
10
00
01
10
01
00
10
10
10
11
01
10
10
01
00
00
10
00
00
00
10
00
00
10
01
10
01
11
11
10
11
01
01
10
10
00
11
10
00
10
01
11
00
11
11
10
11
10
00
10
10
01
10
11
00
01
10
11
00
10
01
00
10
10
01
10
00
00
10
10
11
11
01
00
10
11
10
10
10
00
01
10
00
00
00
10
10
10
00
11
01
10
00
00
00
00
10
11
10
01
10
00
10
01
10
00
10
10
01
00
01
11
10
00
01
00
00
00
00
11
00
00
10
10
00
10
10
00
01
11
00
01
10
11
10
00
00
01
10
10
00
00
10
11
00
11
00
01
00
00
10
10
01
01
10
00
11
10
11
10
10
00
10
00
00
11
10
10
11
01
10
10
10
01
10
10
00
11
10
10
00
10
10
11
01
10
10
00
11
00
10
00
00
10
10
10
01
01
01
10
10
11
01
10
01
00
01
00
11
00
11
10
01
10
11
10
00
10
10
00
01
00
10
11
00
11
00
11
11
10
10
01
10
10
10
00
00
11
10
00
10
10
00
01
10
00
00
00
11
00
00
11
10
01
10
10
00
01
00
00
10
11
01
01
10
01
01
10
10
10
10
01
01
10
00
01
10
11
00
11
11
10
00
10
00
00
00
10
10
10
10
10
00
11
10
00
01
11
10
01
01
11
10
10
01
10
01
00
01
11
00
10
01
10
11
01
11
00
00
10
00
01
10
10
00
10
11
11
10
11
00
10
01
00
11
00
10
00
10
00
00
11
10
01
10
00
11
10
01
00
10
00
10
11
00
10
11
10
01
00
11
00
00
11
00
10
11
11
01
00
11
10
10
00
10
00
01
01
00
00
11
00
10
10
10
10
11
11
11
11
00
11
00
10
10
10
10
01
00
01
00
00
01
01
10
01
00
10
10
00
01
10
10
10
01
01
11
10
10
01
11
10
01
01
10
11
00
01
01
10
01
10
10
00
10
10
00
10
10
11
10
01
10
10
11
01
10
01
00
11
00
00
00
11
11
11
00
01
00
10
10
00
11
10
00
00
10
00
01
10
00
00
01
11
00
10
11
01
00
00
00
11
10
00
10
11
00
01
01
10
10
10
00
10
01
10
01
10
10
00
10
00
00
00
10
01
10
00
01
10
00
10
00
01
10
10
10
00
11
10
01
10
10
01
01
10
11
10
10
10
00
00
00
11
11
11
10
10
00
10
00
00
10
11
00
10
11
01
00
10
10
00
01
10
11
01
01
00
00
00
11
00
01
10
10
01
11
10
00
00
10
11
10
00
00
11
10
00
10
00
01
01
00
11
01
00
00
01
10
00
10
10
00
00
01
10
01
10
01
00
11
00
10
11
01
00
10
00
00
00
10
11
11
10
10
00
00
10
10
00
10
11
00
00
00
00
10
01
00
10
00
00
00
10
00
01
11
10
11
00
00
01
11
10
01
00
11
00
00
11
00
10
10
11
01
00
10
00
11
11
00
01
10
10
10
00
00
11
11
00
10
10
10
10
00
00
10
10
01
00
00
10
00
11
00
11
10
00
01
10
00
01
10
11
01
10
00
01
01
10
11
00
00
00
11
11
11
01
00
11
10
10
00
01
10
00
00
11
10
10
01
00
11
10
10
11
10
10
00
10
10
10
00
11
10
00
01
10
00
10
00
10
10
00
01
10
01
01
11
00
00
00
00
00
10
00
00
10
00
01
00
10
00
00
00
10
01
11
00
01
01
10
00
01
10
00
11
11
00
10
01
10
00
00
10
00
00
00
01
10
10
10
00
10
10
00
00
10
10
01
10
10
10
01
10
11
00
10
10
00
01
11
00
01
00
10
00
11
10
10
10
00
10
10
00
11
00
00
00
01
00
00
01
01
11
10
00
01
10
10
10
01
01
01
00
00
10
10
11
10
00
00
00
10
10
01
00
00
10
10
00
01
01
00
10
10
01
00
00
01
00
00
11
11
11
10
11
01
10
10
00
11
10
00
00
11
11
10
11
00
00
10
00
01
10
11
11
10
01
10
10
00
01
10
10
10
00
00
00
01
01
10
10
00
11
11
11
01
00
10
10
01
00
01
11
10
00
11
00
00
10
00
01
00
10
11
00
00
11
10
00
10
00
01
00
01
10
11
11
10
10
11
10
00
00
10
10
00
00
11
00
10
11
10
00
00
00
00
01
10
10
00
10
10
01
00
01
00
11
00
01
01
10
10
00
10
10
11
00
00
01
10
10
11
11
00
01
00
10
10
00
00
10
10
01
01
10
11
00
11
00
10
01
11
11
00
10
00
00
01
10
10
01
10
10
10
00
11
10
10
10
11
11
11
00
01
01
10
00
10
00
00
00
10
10
10
00
00
00
10
10
01
01
01
01
01
00
00
00
01
00
11
10
00
10
11
00
00
11
10
10
10
00
00
00
10
11
10
00
10
01
11
01
11
11
00
01
00
10
00
01
11
10
00
11
10
00
01
10
00
00
11
00
00
01
10
10
00
00
11
10
00
00
00
10
10
00
10
00
10
00
10
00
11
11
00
01
10
10
11
10
10
10
10
01
10
01
00
01
10
00
10
10
10
00
10
10
00
00
10
00
11
11
10
01
00
00
01
01
10
10
01
01
10
11
10
00
10
10
00
00
00
10
10
11
01
00
00
11
11
01
11
11
01
11
01
10
11
00
00
00
10
10
01
01
11
10
00
00
01
11
10
10
01
00
11
01
10
10
11
10
00
10
01
00
10
00
00
10
11
10
01
01
10
11
00
10
10
10
10
00
11
10
01
01
10
00
01
00
11
01
10
01
00
00
10
10
00
00
10
10
00
01
10
11
11
10
00
11
00
01
01
11
10
00
11
10
10
01
00
10
01
00
10
11
00
10
10
00
01
11
01
00
01
01
00
11
01
10
11
00
11
00
10
11
00
01
01
00
11
01
10
10
10
01
10
10
00
01
10
11
00
00
00
10
10
10
11
10
01
00
11
00
10
00
11
00
00
10
10
01
11
10
11
10
10
01
10
10
00
00
10
11
00
00
00
10
10
01
11
01
10
11
00
11
11
00
10
10
00
00
01
11
00
01
10
10
10
11
01
01
10
10
00
10
10
10
00
00
10
10
10
10
00
00
11
00
10
01
10
00
10
11
10
10
11
01
10
11
00
10
10
10
01
10
10
00
11
10
11
10
01
00
01
00
10
11
00
10
11
10
00
00
10
01
11
11
01
11
11
00
10
11
01
01
00
11
10
11
10
01
00
10
00
10
10
00
10
10
10
00
11
10
10
00
00
10
10
00
00
01
10
10
10
00
01
10
10
10
00
00
00
00
01
01
01
10
00
11
00
11
01
11
10
00
11
10
00
00
10
10
00
11
10
00
01
10
10
00
10
00
10
00
10
01
10
10
01
10
10
10
00
00
00
10
11
00
10
11
00
00
10
00
00
10
00
00
10
10
01
11
10
11
01
00
10
00
10
00
10
10
00
01
11
01
11
10
00
10
00
00
00
11
10
00
01
00
00
10
10
00
10
10
01
10
10
10
10
11
11
10
11
00
01
00
11
01
10
00
00
10
11
01
00
10
01
01
01
00
01
00
00
10
00
10
10
10
00
10
10
01
11
11
10
10
10
10
10
01
00
11
11
10
11
10
00
11
00
00
11
01
00
00
00
01
01
11
10
10
00
00
00
11
01
10
00
01
01
01
10
01
00
11
10
10
10
00
01
01
01
10
01
01
00
11
10
10
11
10
00
10
11
00
11
00
01
11
10
01
01
10
10
00
00
10
10
00
01
10
10
01
10
10
00
11
11
11
01
00
01
10
11
10
10
00
11
10
00
10
11
10
00
00
10
10
11
00
00
00
11
10
10
11
00
10
11
00
01
01
10
10
10
11
00
10
00
00
10
10
10
10
00
01
10
00
01
10
01
00
10
10
00
00
00
10
10
10
00
00
01
10
00
10
11
00
01
00
10
10
01
11
00
01
11
11
01
01
11
00
10
10
00
00
10
10
01
01
00
10
10
01
10
01
00
11
11
00
10
10
01
01
00
10
10
11
00
10
11
01
10
11
10
01
10
01
00
10
00
00
00
10
01
00
00
10
11
10
10
11
10
01
01
00
10
00
10
10
10
01
01
01
10
10
01
00
11
10
00
01
10
00
10
01
00
10
00
00
11
10
01
00
11
11
10
10
10
00
01
10
11
10
11
01
00
00
01
11
00
10
10
00
11
10
00
00
10
00
00
10
00
00
10
00
00
11
11
11
00
10
11
01
00
10
10
00
11
00
10
10
01
00
11
10
00
10
10
00
10
00
01
00
11
00
01
00
11
01
00
10
11
01
00
10
10
01
01
10
11
11
11
00
00
01
00
11
11
10
00
00
11
10
00
00
10
01
00
10
10
11
11
01
00
11
11
00
00
00
10
10
11
10
00
10
00
00
10
00
00
01
11
00
01
11
00
00
00
10
01
00
10
01
10
01
11
11
10
01
10
01
10
00
00
10
00
01
11
10
10
01
10
10
10
00
00
00
00
10
10
00
01
00
01
11
00
01
01
10
10
00
00
10
00
00
01
01
10
01
00
00
11
01
01
11
10
11
10
00
10
01
00
11
00
11
11
01
00
00
01
11
10
00
10
10
00
00
10
00
00
00
00
10
00
10
00
00
11
00
10
10
10
10
00
00
10
00
10
00
11
01
10
00
10
00
10
00
00
11
11
01
10
11
00
00
10
00
00
11
10
10
01
00
00
00
11
10
11
01
01
11
11
10
01
00
11
10
10
01
00
10
00
10
10
01
10
00
01
00
10
10
01
11
01
10
00
01
11
01
10
01
00
10
00
11
11
01
01
10
00
10
10
10
10
01
00
00
10
10
10
01
10
10
00
00
01
10
10
00
00
10
00
01
10
01
11
10
11
01
00
10
10
01
11
11
11
00
11
00
00
00
01
10
11
01
01
10
10
00
00
10
10
00
00
11
10
10
11
10
01
10
10
01
00
11
10
00
00
11
10
00
11
01
10
00
00
10
11
00
01
10
00
00
00
11
10
11
00
10
10
01
10
10
00
01
11
01
11
00
10
10
00
01
11
10
00
00
10
10
00
10
11
11
00
00
00
10
11
00
00
10
10
11
10
11
11
10
01
00
10
01
00
10
01
10
10
10
01
00
10
01
00
01
01
00
00
00
00
10
00
01
00
01
00
11
10
00
11
00
00
11
10
01
10
11
00
00
10
10
00
00
00
00
10
10
10
01
10
00
10
10
00
01
00
10
10
01
01
10
01
11
10
00
00
11
10
00
11
10
10
00
01
01
00
10
00
00
10
01
11
00
01
00
01
10
01
00
10
10
00
01
01
11
10
00
10
11
00
00
10
10
10
00
10
10
10
00
11
11
00
00
10
10
01
11
00
01
11
11
11
00
10
11
01
11
01
00
10
10
01
00
10
10
00
01
11
11
10
11
10
10
11
11
00
01
01
10
10
00
11
00
11
11
01
11
10
00
11
01
00
00
10
11
00
00
00
10
10
11
00
11
11
10
01
01
00
11
10
10
00
11
10
10
11
00
10
01
10
00
00
10
00
11
00
00
10
10
00
00
10
11
01
00
00
10
00
01
11
00
01
10
10
10
01
10
11
00
00
00
00
00
10
00
01
10
10
10
11
10
10
00
00
00
11
10
00
01
00
11
00
00
11
11
11
10
10
00
01
10
11
10
01
10
00
11
10
00
01
00
11
10
00
01
10
01
10
10
00
11
11
01
11
11
00
10
00
10
01
11
11
00
10
10
01
01
00
10
10
01
01
00
10
10
00
11
10
10
01
00
10
11
00
01
01
10
00
00
10
10
00
10
10
00
11
00
11
01
00
10
00
00
00
11
10
00
10
10
01
10
11
00
10
00
01
10
10
11
01
10
01
00
00
00
00
10
10
10
11
00
00
01
00
00
00
10
10
00
10
10
00
01
10
10
00
00
00
10
10
00
01
11
10
00
01
00
00
11
10
00
11
10
00
01
10
10
00
00
11
10
01
01
10
00
11
00
01
01
11
11
11
00
10
01
01
01
10
10
11
01
10
01
00
10
00
00
11
11
01
00
10
10
10
11
00
10
11
00
00
00
00
00
00
10
00
11
11
00
00
10
10
00
00
01
11
00
00
10
00
01
01
01
10
10
11
10
10
10
01
01
10
10
10
01
00
00
10
00
00
11
11
01
10
11
11
00
00
10
00
01
10
10
01
01
11
11
10
10
11
10
00
00
10
11
01
00
10
10
00
10
10
00
00
11
10
01
01
01
01
01
01
11
11
00
00
10
10
10
10
00
00
10
00
00
10
10
10
01
11
00
00
10
01
10
01
00
10
01
11
00
10
10
00
10
10
00
00
11
11
00
10
10
00
10
01
10
00
10
10
00
10
10
01
00
01
00
00
10
00
01
00
00
10
01
11
10
00
11
10
00
01
00
10
10
10
10
10
00
01
00
00
10
01
00
00
11
10
01
10
11
00
10
00
01
10
11
01
00
11
11
10
00
00
10
01
00
10
11
01
00
11
00
00
11
10
00
01
10
10
01
10
10
00
10
00
10
11
00
10
10
00
00
00
11
01
01
11
00
11
01
10
00
00
10
10
10
00
00
01
00
10
00
01
11
00
01
10
10
11
00
01
10
10
00
10
00
01
11
00
00
10
01
00
10
11
00
10
00
10
10
00
10
00
01
10
00
11
00
10
01
10
10
10
00
01
10
00
01
10
10
11
10
00
00
10
00
10
10
00
11
01
00
10
11
11
00
00
10
11
00
01
10
01
10
10
00
00
10
11
00
00
10
01
00
01
01
00
01
10
00
11
11
11
10
11
11
00
00
11
01
00
10
10
11
00
11
11
01
00
00
10
01
00
10
00
01
10
00
00
01
10
01
10
11
11
00
10
01
01
00
11
10
01
00
00
01
10
11
00
01
10
10
00
10
11
01
00
11
00
11
01
00
00
10
01
11
11
00
01
10
10
01
10
00
11
00
00
00
00
11
11
10
00
10
10
10
00
01
11
00
10
10
00
10
10
00
00
00
00
10
10
10
00
10
00
00
11
00
00
10
01
00
10
10
01
10
10
00
00
00
00
11
10
00
11
10
00
00
11
01
01
01
00
10
01
10
10
11
00
01
00
10
10
10
11
10
10
10
10
00
11
01
00
10
00
11
10
11
10
00
00
01
11
11
11
01
00
10
00
11
11
00
01
11
11
00
01
11
10
10
01
10
10
00
00
00
00
10
00
01
00
11
10
01
11
00
01
11
01
10
10
00
00
01
10
00
00
01
01
00
10
10
01
01
10
01
10
10
00
00
00
10
11
00
01
11
01
00
00
00
10
10
11
00
01
11
11
00
00
10
10
10
00
10
10
01
00
10
10
10
01
10
11
00
11
10
00
10
11
10
00
00
10
10
00
10
10
11
00
01
10
10
00
01
00
00
00
10
00
10
01
11
10
00
11
10
10
10
10
01
00
10
11
00
10
00
10
01
01
01
01
10
10
11
01
10
00
01
10
00
11
11
01
00
00
00
00
11
10
00
10
01
00
11
00
11
10
01
10
00
00
00
00
10
10
00
00
00
10
01
10
01
01
00
00
00
01
01
01
11
10
11
01
11
10
01
00
10
11
00
10
00
10
10
01
00
11
00
00
10
10
00
00
00
10
00
10
10
00
01
10
10
10
10
00
10
00
00
11
00
10
00
10
10
11
10
01
00
10
00
10
11
00
00
11
11
00
01
10
11
10
00
10
01
01
11
10
00
00
10
10
10
00
01
00
00
10
00
00
01
10
10
10
00
01
00
11
01
00
10
10
10
01
00
01
10
11
00
01
00
11
01
00
00
10
11
00
11
11
00
00
11
00
10
10
01
00
11
11
00
01
11
00
01
11
11
01
11
11
00
10
10
10
00
01
10
00
00
10
10
10
10
01
00
01
00
10
10
00
00
01
00
11
00
10
11
10
10
10
10
11
00
01
01
10
10
00
11
00
10
10
00
10
11
00
00
11
10
01
00
11
00
00
10
00
01
01
10
11
00
10
00
10
10
11
00
01
10
10
00
00
10
01
11
10
00
00
00
01
00
00
10
01
00
10
00
01
01
11
10
01
00
10
10
10
10
01
00
11
10
11
00
01
00
10
10
00
11
11
11
00
00
11
10
01
00
10
11
10
00
00
00
10
10
10
00
11
10
01
00
10
00
01
11
11
00
01
00
10
11
11
00
01
01
11
11
11
00
10
00
10
00
11
11
00
00
10
11
10
00
00
00
01
01
01
11
11
00
00
10
11
10
00
00
11
10
10
00
10
01
00
11
11
10
10
11
00
11
01
00
00
10
11
10
10
01
00
10
10
11
10
00
10
11
10
00
10
00
00
00
10
00
10
10
10
00
00
11
10
10
10
11
00
00
01
00
11
10
00
10
00
10
00
00
10
10
00
10
11
01
01
01
00
11
10
00
11
10
01
00
11
10
10
00
10
11
01
01
10
01
10
01
00
00
10
10
00
00
00
10
11
10
10
00
10
10
10
00
00
10
10
11
00
11
10
00
00
01
11
10
01
00
00
11
11
01
10
01
01
10
00
00
10
10
11
00
10
11
10
10
10
00
00
00
00
10
00
00
01
00
11
01
11
10
11
01
00
00
00
10
11
01
10
01
10
01
11
10
01
10
01
01
00
01
10
10
10
01
00
00
10
11
01
00
11
10
10
10
00
00
01
10
10
00
00
11
11
01
10
10
00
01
10
10
11
00
11
00
01
01
00
11
10
10
01
10
11
10
00
01
01
11
00
00
00
11
00
11
01
00
11
10
10
10
10
00
11
10
10
00
10
10
00
10
01
00
00
00
10
00
11
10
11
00
00
00
01
11
00
00
10
10
01
10
10
00
00
10
10
00
00
10
11
10
00
00
10
11
10
00
10
00
00
10
11
00
01
10
10
00
00
11
10
11
00
10
10
10
00
00
11
00
01
00
00
00
11
10
11
00
00
10
10
11
01
01
11
10
00
10
00
00
00
10
11
10
00
11
11
01
01
11
00
00
01
10
11
00
11
10
10
10
00
11
10
01
00
11
10
01
00
01
00
11
11
00
10
10
10
01
00
00
10
01
00
00
00
10
10
00
01
10
11
10
11
00
00
00
10
10
10
00
00
10
11
00
01
10
00
01
11
00
00
11
10
01
10
00
10
10
00
01
10
11
10
01
01
10
00
01
00
11
10
01
11
10
00
10
01
11
01
01
10
10
10
10
01
00
10
10
11
00
11
10
01
11
10
00
01
10
00
11
11
00
00
10
11
10
11
10
00
00
10
11
00
10
11
11
10
11
00
00
00
00
10
10
11
00
00
00
10
11
10
00
10
10
00
01
11
11
01
10
00
01
00
10
10
01
00
00
11
10
10
10
00
01
00
10
10
00
00
10
11
00
11
10
11
10
00
00
10
11
00
00
01
00
11
00
00
11
00
01
10
10
01
01
11
00
00
10
10
11
00
00
10
10
00
00
10
01
01
10
01
00
10
10
11
00
00
00
10
01
11
10
00
00
00
11
11
10
10
01
00
11
00
00
00
10
01
00
00
11
11
00
10
10
10
10
00
00
11
00
00
10
01
01
10
00
10
11
01
00
10
11
10
10
10
00
00
00
01
10
00
11
10
00
01
10
11
11
10
10
00
10
10
00
00
11
10
01
01
11
11
11
01
00
10
00
01
10
10
01
10
00
00
10
01
10
01
01
01
00
10
01
10
11
00
11
10
10
00
01
01
10
00
10
10
10
00
00
10
00
00
00
00
00
11
10
11
00
01
00
10
11
00
01
00
00
11
01
10
01
10
10
01
00
00
10
00
00
10
10
00
00
11
10
00
00
00
11
10
11
11
11
10
00
10
10
11
00
01
10
11
01
00
10
11
00
10
10
00
00
10
01
00
00
01
10
00
01
11
10
10
10
00
01
10
10
11
00
00
10
00
00
01
10
10
00
11
00
00
10
00
00
11
10
11
10
10
00
11
11
00
11
10
11
10
11
10
01
00
10
01
00
00
11
11
01
11
00
01
10
10
10
10
01
00
10
11
00
10
00
01
10
11
10
11
10
01
00
10
00
00
00
10
01
00
10
10
10
10
00
10
10
00
10
10
10
11
10
00
01
00
10
10
01
11
10
10
10
00
10
10
01
00
10
01
10
10
00
00
00
00
10
11
00
00
10
11
10
00
10
10
01
00
11
10
01
00
00
10
00
10
10
01
00
11
00
00
10
11
00
00
10
10
10
11
10
00
10
10
00
10
01
10
10
11
00
00
10
00
00
10
10
00
11
10
10
10
00
10
01
00
00
01
10
10
00
10
00
01
11
10
00
10
00
10
01
10
11
11
11
11
11
00
11
01
01
10
10
00
00
01
01
11
10
01
00
10
10
00
00
01
10
10
11
10
11
00
10
11
00
11
00
11
10
11
00
00
00
10
01
01
10
00
11
11
00
11
00
01
00
11
11
10
00
01
00
00
00
11
11
00
11
11
10
01
00
10
01
00
11
11
10
00
11
00
01
00
10
11
00
11
01
00
11
10
11
00
00
10
00
00
11
11
10
00
11
10
10
00
11
01
00
10
01
11
01
10
00
10
10
11
00
11
10
00
00
00
00
01
00
10
00
10
11
10
01
11
10
11
01
00
00
00
10
10
00
00
10
01
00
00
11
00
01
10
01
01
10
11
10
00
00
01
01
10
10
00
00
01
00
11
10
10
01
10
00
01
00
10
10
00
11
00
10
10
00
00
10
10
10
10
01
00
10
00
01
00
00
10
11
00
00
10
00
10
10
00
10
00
00
10
00
01
10
11
01
10
10
11
00
00
10
11
10
01
01
11
01
01
00
00
00
11
11
10
01
00
00
10
11
10
00
00
10
10
11
00
00
00
01
00
00
00
01
00
10
00
10
00
00
00
10
10
00
11
11
10
11
00
01
00
00
10
10
01
10
01
00
11
00
01
01
01
10
10
00
00
10
10
10
11
10
11
10
00
11
00
01
10
00
10
00
00
10
11
00
10
00
01
11
00
11
00
01
10
10
01
10
11
10
00
00
00
10
01
00
11
11
00
00
11
10
10
10
01
01
01
00
10
10
00
10
00
11
11
11
01
01
00
10
00
10
00
00
11
10
00
00
01
11
01
01
11
00
01
00
11
10
00
00
00
10
01
01
10
11
01
00
00
00
10
10
10
00
00
00
11
10
01
11
10
10
10
10
00
00
10
11
10
10
01
01
10
01
01
00
00
00
00
00
10
11
10
00
00
00
10
00
11
10
00
00
11
01
11
00
01
00
10
10
10
10
00
10
10
01
11
00
11
00
00
00
11
10
00
01
10
01
00
10
10
10
00
01
00
10
10
01
10
10
01
00
00
10
01
11
01
10
10
10
10
00
10
10
00
00
10
10
10
10
01
00
11
01
10
00
10
10
11
10
00
00
11
11
01
00
10
00
01
11
00
11
11
00
10
00
01
01
11
01
01
11
00
10
00
10
10
00
10
11
00
10
10
00
11
00
10
10
00
11
00
10
00
00
00
00
10
10
00
01
10
01
10
00
01
00
01
01
00
11
10
01
10
10
00
10
11
00
00
11
00
01
01
10
10
10
11
10
01
00
00
10
01
01
00
01
10
11
11
00
11
11
10
01
00
10
00
00
10
00
10
00
10
11
10
11
11
11
00
00
01
00
11
11
00
10
10
01
01
00
10
01
10
00
00
10
10
01
01
00
00
11
10
10
01
01
11
00
01
11
11
01
00
11
10
11
00
00
11
00
00
00
10
00
11
10
01
11
00
10
11
10
10
11
01
01
11
01
00
00
01
11
10
00
01
01
01
01
00
10
11
00
10
00
10
11
00
00
00
01
10
01
00
01
10
10
10
00
00
01
00
11
10
00
00
00
00
00
10
10
10
01
10
01
11
10
10
10
10
00
00
01
00
10
10
10
10
01
10
10
00
00
00
01
11
10
01
00
00
00
00
01
10
01
00
01
00
01
10
10
11
01
11
00
00
11
00
00
11
10
00
00
10
01
10
00
00
10
10
00
10
01
01
11
10
00
00
10
11
10
00
01
10
00
10
10
00
00
10
11
00
10
10
00
01
10
00
01
00
00
01
01
10
01
11
10
11
00
10
00
01
11
10
00
00
10
00
11
10
10
00
01
01
11
10
00
10
01
10
01
11
10
00
00
11
00
00
00
10
00
00
10
01
00
00
01
00
11
10
10
01
10
10
10
10
01
00
10
00
10
10
11
01
00
10
10
00
00
01
11
01
10
01
00
11
00
10
00
00
01
11
11
00
10
11
11
00
10
10
00
00
00
11
01
11
10
11
00
11
00
00
10
10
10
01
11
00
11
00
00
10
10
10
00
00
00
10
10
01
01
01
10
00
00
00
10
10
11
10
01
10
01
10
01
11
11
00
00
11
10
10
01
00
10
10
00
11
10
01
10
01
10
10
10
00
00
10
00
00
10
11
11
00
01
01
00
10
10
00
10
10
10
11
11
10
01
10
00
11
01
00
00
10
10
00
10
10
00
00
00
01
00
00
00
11
01
10
00
00
11
10
10
10
11
00
01
00
10
00
00
00
10
00
00
00
00
10
01
00
00
00
11
10
00
11
01
10
11
10
11
00
10
01
10
00
00
10
00
00
01
11
01
11
00
11
01
11
11
01
11
01
11
11
01
10
10
00
00
10
10
01
00
11
10
11
10
00
00
10
11
00
01
10
10
10
00
10
10
00
00
00
00
11
10
11
10
11
10
01
10
10
00
01
10
11
10
01
01
11
00
10
10
00
11
00
00
10
00
00
10
10
00
00
10
00
01
11
11
01
00
10
10
10
00
10
10
01
01
00
00
00
10
10
10
00
00
00
11
10
01
00
11
01
10
10
00
10
10
10
01
10
01
11
10
01
00
00
10
10
01
01
01
00
00
01
10
10
10
10
01
00
10
10
00
10
00
00
11
00
00
00
00
10
00
00
00
10
00
11
00
11
11
01
01
00
10
00
01
10
10
11
00
01
10
11
11
10
11
11
00
01
11
00
10
00
00
00
10
10
11
10
00
11
01
10
11
00
11
11
00
11
11
01
10
11
01
10
01
01
10
11
00
01
00
10
01
00
11
00
10
10
00
00
11
10
00
10
10
01
00
01
10
01
01
00
11
10
00
10
10
10
00
10
11
10
00
10
00
10
00
11
10
01
11
10
10
11
00
00
10
10
00
01
10
10
01
10
10
01
10
00
01
10
00
11
00
11
10
01
10
00
00
11
10
00
10
00
10
11
11
10
00
00
10
00
11
00
01
10
00
01
00
10
10
10
01
10
11
01
10
00
01
10
10
00
00
01
10
10
11
10
01
11
11
00
01
11
10
10
10
00
00
00
10
10
01
11
11
01
00
11
10
00
00
01
00
00
10
10
00
01
00
00
11
01
00
01
10
10
11
10
00
10
00
00
10
00
00
11
10
10
01
11
00
10
11
00
10
10
00
10
11
11
00
10
00
10
10
00
00
00
00
10
00
11
11
01
11
00
10
11
01
00
11
11
00
10
00
00
11
00
00
00
00
11
10
01
10
10
00
11
11
00
10
10
10
11
00
00
00
11
11
01
10
00
01
10
11
01
00
10
01
00
10
00
00
11
10
00
00
11
00
10
00
10
10
00
10
00
00
10
10
01
10
11
10
00
10
11
00
10
11
00
00
11
11
10
00
01
10
11
00
10
01
00
11
00
00
11
10
01
00
10
10
10
00
01
01
11
10
11
10
00
00
00
00
10
10
00
11
01
01
10
00
10
00
00
00
00
00
00
11
11
10
00
10
00
00
01
10
11
00
11
10
01
00
11
10
00
00
10
00
00
00
01
10
10
10
10
10
00
01
01
00
11
10
10
00
10
11
00
10
10
00
00
00
00
10
01
01
10
10
01
10
10
10
00
00
00
11
10
11
10
11
10
01
00
01
00
10
10
00
00
11
10
10
00
11
10
01
00
10
00
11
10
00
00
10
10
00
10
01
10
01
00
10
00
00
10
10
00
00
00
10
10
10
11
00
00
00
11
10
00
10
10
01
00
11
11
11
10
00
10
10
01
00
11
10
01
10
01
11
11
10
00
11
10
11
00
10
10
00
10
00
10
10
10
10
10
11
00
00
10
00
10
10
11
00
01
01
00
11
00
10
10
11
10
11
10
01
00
11
10
01
00
10
10
01
01
11
11
00
10
10
10
00
00
01
11
10
01
00
10
11
00
10
10
10
00
00
11
00
01
11
00
00
01
00
00
00
10
10
01
11
11
10
10
11
10
01
01
10
01
01
00
10
00
01
00
10
10
01
10
10
11
00
11
10
00
11
00
10
00
00
10
10
00
11
10
00
00
10
01
00
10
10
01
00
00
10
10
10
11
11
10
01
00
10
10
00
11
10
10
10
00
00
11
10
00
00
11
11
10
00
10
11
00
10
10
01
00
10
01
10
10
11
00
00
11
10
10
11
00
01
01
10
00
10
01
00
11
11
11
10
11
01
00
00
10
00
11
10
01
10
11
10
10
10
00
10
10
00
00
00
01
00
01
01
10
10
01
00
00
10
00
11
10
10
10
10
00
10
11
01
00
01
01
10
11
10
00
11
00
10
00
00
00
00
11
00
01
00
00
00
00
00
11
00
00
01
10
00
11
10
00
00
10
01
00
11
00
10
11
00
10
00
10
10
10
10
01
10
11
00
11
10
10
01
10
11
00
10
00
10
01
00
10
11
00
00
01
11
00
11
00
00
01
00
11
10
01
00
00
10
11
01
01
00
10
11
10
01
11
00
00
00
00
10
00
11
11
00
00
10
10
10
00
00
11
10
10
10
01
00
10
00
00
11
01
00
10
00
00
10
10
10
01
00
10
00
10
00
10
01
01
10
10
11
00
00
10
00
10
11
00
01
00
01
10
00
00
11
10
10
00
00
10
10
00
10
00
00
00
10
10
10
10
11
11
00
00
10
10
00
00
11
10
00
01
10
11
00
00
10
01
00
11
00
00
01
11
00
00
11
10
01
00
00
00
10
10
00
00
11
10
00
01
10
10
01
10
11
01
11
10
00
11
01
00
00
00
10
11
00
00
10
00
01
00
01
01
10
10
00
10
10
00
01
11
11
01
00
00
00
10
10
01
01
10
11
00
01
00
11
10
11
11
01
11
01
11
01
01
11
01
01
11
10
10
00
00
10
00
00
10
01
00
10
00
01
01
11
01
11
00
00
11
11
10
00
00
11
10
00
00
00
10
10
01
10
10
01
00
10
00
10
00
11
00
00
10
00
01
11
00
10
11
00
00
10
00
10
11
00
00
10
11
10
10
00
10
11
00
10
01
10
01
10
01
00
01
00
10
01
01
10
11
00
11
11
00
00
10
00
01
10
11
00
00
10
00
00
00
00
10
00
10
10
10
00
01
10
10
00
00
00
00
00
11
10
11
01
10
10
10
01
01
10
01
00
11
11
00
10
00
10
10
10
01
10
11
00
00
10
01
00
01
10
10
10
10
00
01
01
10
11
00
00
10
10
11
10
00
00
00
11
01
01
00
10
10
11
00
10
10
10
11
10
00
00
00
11
11
11
00
10
00
10
00
11
11
00
11
11
10
00
10
10
01
01
10
01
00
11
00
01
10
01
00
10
11
00
10
11
00
00
11
00
00
01
00
11
00
10
11
11
00
01
10
10
10
11
00
00
00
01
10
10
10
11
00
01
10
01
10
01
10
01
10
11
10
00
00
00
10
11
00
00
00
00
10
00
00
11
01
01
00
10
00
10
10
00
01
10
10
10
01
10
10
10
01
11
10
00
10
11
10
10
00
00
10
00
10
11
10
00
01
00
00
00
00
00
11
10
11
11
00
10
00
10
00
00
10
10
00
11
10
10
00
10
01
10
00
01
01
00
11
11
00
01
00
10
11
11
01
00
00
10
00
00
10
00
01
10
01
11
00
11
10
11
10
10
00
00
10
00
10
11
00
00
01
11
11
01
11
00
01
10
01
10
10
01
01
11
10
10
10
00
11
10
00
00
10
11
11
11
01
10
10
01
00
11
11
01
00
11
01
00
10
11
11
00
00
11
10
00
10
10
00
00
10
10
00
00
10
00
00
11
00
11
11
11
01
00
10
10
01
10
10
10
01
10
10
00
10
10
00
11
10
00
10
10
11
10
00
01
10
10
10
11
00
11
10
01
10
11
10
00
00
10
10
01
10
01
00
11
00
01
00
00
00
10
10
00
00
10
00
11
00
11
00
00
10
00
11
10
01
10
00
11
10
01
01
10
00
00
10
01
01
11
10
00
00
00
00
10
10
00
00
10
00
01
00
00
10
11
01
10
11
00
00
10
00
11
01
01
11
11
10
11
10
10
10
01
00
10
00
11
00
11
10
01
10
01
00
10
00
00
10
10
11
11
10
10
01
10
01
00
10
10
00
11
00
11
10
11
10
00
00
10
00
00
01
10
11
00
11
11
01
00
10
01
00
01
10
10
10
10
10
11
10
00
00
10
10
10
01
00
01
00
10
10
00
11
00
01
11
00
11
00
01
00
11
10
11
00
01
10
10
11
00
00
10
10
00
00
11
00
10
10
11
00
11
11
10
11
01
10
10
00
00
00
10
10
00
01
10
00
10
00
10
00
01
10
00
10
10
00
00
11
01
10
10
11
00
01
00
01
10
01
01
10
00
10
00
00
00
00
11
11
00
11
00
00
10
10
00
10
10
01
00
00
00
10
01
01
10
11
00
10
10
10
00
11
10
00
10
10
00
00
10
01
00
10
00
10
10
11
11
00
01
10
11
00
01
10
00
10
10
00
01
00
10
00
01
00
10
10
11
10
00
11
00
00
10
10
01
00
10
10
10
00
00
11
01
01
10
11
01
11
10
00
00
10
10
00
11
10
01
01
10
11
10
00
00
01
10
01
00
11
01
11
10
00
11
10
10
00
11
00
10
11
00
01
00
00
00
10
01
10
10
01
00
10
00
10
10
00
10
00
00
00
10
00
11
00
01
01
01
00
11
10
00
10
10
11
00
00
00
10
00
10
00
10
10
00
10
00
10
11
10
00
01
00
11
00
01
00
00
10
00
10
10
10
01
00
10
10
11
00
11
11
00
10
10
10
11
10
00
10
10
10
00
11
10
00
00
01
00
00
01
11
01
00
10
00
11
10
10
01
00
00
11
00
10
00
00
10
10
01
01
11
10
11
00
10
10
10
00
10
11
00
00
10
01
01
00
10
00
11
11
10
00
10
10
00
10
01
01
10
10
01
00
00
10
10
01
00
10
01
00
00
01
10
11
01
00
00
00
10
11
00
01
10
10
11
00
10
11
10
01
00
10
01
00
10
11
00
00
00
10
00
01
10
10
00
10
11
01
10
01
00
00
01
10
00
01
00
01
00
10
10
01
10
01
00
11
01
11
10
00
10
10
11
00
01
00
01
11
11
01
01
00
10
01
00
11
10
11
00
10
10
00
01
10
11
00
11
10
00
00
01
01
10
10
00
11
10
10
01
10
01
00
01
10
10
00
01
10
10
00
01
11
10
01
00
11
00
00
10
10
00
00
10
10
10
01
10
10
11
00
10
10
00
01
10
10
10
10
00
01
00
11
10
11
01
00
00
10
10
01
11
11
11
11
11
00
10
01
00
10
00
00
11
01
01
11
10
11
00
10
10
00
01
10
10
00
01
10
01
00
10
01
01
10
11
01
01
10
01
00
10
00
00
01
10
01
00
11
10
00
10
00
00
11
10
10
10
10
00
10
10
01
11
00
01
11
10
10
01
00
10
10
00
01
11
11
00
01
10
00
00
10
10
10
00
00
01
10
00
11
11
00
10
10
01
11
10
00
10
00
10
00
00
01
00
01
10
10
01
10
01
10
10
00
00
00
00
10
11
00
00
10
00
00
00
00
00
11
11
10
00
10
10
11
01
00
11
10
01
10
01
00
01
10
10
10
00
00
10
00
00
11
10
01
10
10
00
10
00
10
00
00
10
00
00
00
00
10
10
01
00
01
00
00
00
01
10
00
00
10
10
11
10
01
00
01
11
11
00
00
10
00
11
11
01
01
11
10
10
11
01
00
10
10
00
00
10
01
10
11
00
01
00
11
00
00
10
10
00
00
10
10
10
00
01
00
01
11
10
11
01
11
10
10
01
10
11
01
10
10
00
10
00
11
10
01
00
01
11
11
10
10
10
10
10
01
00
10
00
10
10
10
01
00
10
10
11
00
00
11
00
00
10
10
00
00
00
10
10
00
10
01
10
10
10
01
11
10
10
00
01
10
00
00
01
00
11
10
11
11
00
01
10
10
00
10
11
00
10
11
01
01
10
00
10
10
00
01
10
11
00
01
10
11
10
00
01
10
10
11
01
11
10
10
01
10
10
01
00
01
10
00
10
00
01
00
00
10
11
01
01
10
10
00
00
10
10
10
00
00
01
01
00
10
00
01
11
00
10
10
10
01
10
00
00
00
00
10
01
00
10
00
00
10
00
11
10
01
01
00
00
00
01
00
01
10
10
11
00
11
10
00
01
10
10
11
01
00
00
10
10
10
00
00
10
00
01
00
10
10
00
00
10
00
10
11
10
10
00
00
10
10
00
10
01
00
01
01
01
00
00
10
00
11
01
01
00
11
10
00
00
10
00
00
10
11
10
10
11
01
00
01
00
11
11
00
10
10
00
00
01
11
00
00
10
00
01
00
10
00
10
11
00
00
00
11
00
00
01
10
11
01
11
00
01
01
00
10
01
10
10
10
01
10
10
00
10
10
01
10
10
10
10
10
10
01
10
11
00
10
11
01
10
11
01
01
10
10
10
00
11
10
00
01
01
10
10
01
10
00
00
00
10
00
00
11
10
00
01
01
00
11
00
01
00
00
11
11
11
01
11
11
11
00
01
01
11
10
01
00
10
01
01
01
11
00
00
00
11
11
01
00
11
10
01
10
11
00
01
10
01
10
11
00
01
10
10
00
00
10
10
01
00
10
10
10
00
10
00
01
10
00
10
10
00
00
10
11
11
10
11
00
10
10
10
00
01
10
11
10
10
00
10
00
00
01
00
10
00
10
01
00
01
01
10
10
10
00
01
01
10
00
10
11
10
00
00
10
01
10
10
00
00
10
10
01
01
01
11
00
00
01
10
01
01
10
10
01
00
00
10
11
00
10
11
10
01
00
01
00
00
10
11
10
00
01
10
00
10
00
10
10
00
00
10
00
10
10
00
10
10
00
10
00
10
11
11
00
01
10
00
10
10
11
10
11
00
00
00
11
10
10
11
10
01
00
11
01
00
10
01
10
10
00
00
10
11
00
00
00
00
00
10
10
10
10
00
00
00
10
10
10
10
11
10
00
10
01
10
11
00
00
10
10
10
01
00
11
10
01
01
01
01
11
10
00
00
11
01
01
00
10
00
01
10
01
00
10
11
11
01
01
11
00
00
01
00
10
00
00
11
10
01
10
10
01
01
11
01
10
11
00
00
01
11
11
10
11
01
01
10
00
00
10
00
00
10
10
01
00
00
10
11
00
00
10
00
10
00
00
10
01
01
00
10
10
00
01
10
00
01
11
01
10
00
11
01
10
01
01
10
11
10
11
00
11
00
10
10
01
00
00
00
11
01
00
01
11
11
10
10
01
00
10
10
11
01
10
11
10
11
10
10
00
00
01
11
00
01
01
00
00
00
10
11
10
00
11
11
00
10
10
01
10
10
10
10
11
00
00
00
11
00
00
10
00
10
00
00
10
11
00
11
01
10
10
00
00
00
00
11
10
10
10
00
11
00
01
00
11
00
10
00
00
10
00
10
11
10
01
10
00
00
10
01
00
11
10
01
10
11
10
00
01
11
10
01
00
01
10
01
11
10
11
00
00
10
11
00
01
01
10
10
11
00
10
10
01
11
00
10
10
00
11
10
00
10
10
10
10
11
01
00
10
00
10
00
11
01
00
10
00
10
00
10
10
00
11
00
11
10
00
01
11
10
10
00
00
00
10
10
00
00
10
00
01
01
11
10
10
00
11
00
01
11
10
00
00
01
10
00
00
10
00
11
01
00
10
10
10
11
11
00
10
10
11
00
01
10
11
01
10
01
10
11
00
00
10
00
10
00
10
10
00
00
00
10
11
01
00
00
01
01
01
10
10
10
01
00
10
10
00
00
10
00
10
10
00
01
00
00
11
00
00
00
01
10
00
01
10
01
11
01
00
01
01
10
10
10
00
00
11
10
00
01
00
00
10
00
00
11
00
01
10
01
10
10
10
11
10
00
10
10
10
11
00
10
11
10
00
01
00
01
00
01
11
00
00
10
10
00
11
10
00
10
00
01
00
10
01
10
10
01
00
11
11
00
01
00
11
00
11
10
00
00
11
01
10
00
00
10
10
01
00
10
10
00
11
10
01
00
01
00
00
00
10
10
00
10
10
11
01
10
10
00
10
11
10
00
00
00
10
10
00
10
10
01
01
00
10
10
01
01
00
01
01
10
00
11
11
11
00
00
00
10
00
00
10
11
00
11
10
10
00
00
00
00
01
11
00
11
10
11
10
00
01
11
01
00
01
10
01
10
11
00
00
11
10
10
00
11
01
01
10
11
10
10
00
00
00
10
00
00
00
00
00
10
10
00
10
11
10
10
01
11
00
10
01
10
11
01
00
11
00
10
11
00
00
11
10
00
01
00
10
11
10
10
00
01
00
11
00
00
00
11
11
00
10
10
10
00
01
00
01
00
00
01
10
00
00
00
10
10
10
00
10
11
00
01
01
10
10
00
10
11
10
11
01
01
10
10
00
00
10
00
01
11
10
01
00
11
10
00
00
11
10
00
10
11
00
01
10
01
10
11
00
11
01
00
00
10
00
01
10
10
10
00
00
10
10
01
01
00
00
00
11
00
10
10
01
00
00
00
01
10
00
00
10
10
10
11
00
00
10
10
00
00
10
01
01
00
10
10
00
10
10
00
10
00
01
01
11
10
00
10
10
10
01
10
01
00
10
00
10
10
10
00
01
10
01
11
00
10
10
10
00
01
00
00
01
10
10
10
01
01
11
10
00
11
10
01
01
00
01
11
00
00
11
10
10
10
00
11
10
00
11
10
00
00
11
10
01
10
11
01
00
01
10
01
00
00
10
00
01
11
00
00
01
10
10
01
00
10
10
10
10
11
10
10
11
00
10
10
01
00
10
10
10
11
10
00
00
10
10
00
10
00
00
10
00
00
01
10
00
10
00
00
11
11
01
11
00
00
10
00
00
01
10
00
10
10
10
11
11
00
11
10
01
10
00
10
10
00
01
00
00
10
11
01
00
10
01
10
00
00
10
01
10
00
00
11
10
00
11
00
10
00
01
10
10
11
00
11
11
00
10
11
01
10
00
01
10
00
00
10
01
00
10
10
10
01
10
11
10
10
10
01
00
11
10
00
00
00
01
10
11
10
00
10
00
01
00
00
11
00
11
10
10
10
01
00
01
10
10
10
01
00
00
10
10
00
01
10
00
11
10
00
01
10
11
00
10
11
11
10
00
00
11
00
10
10
10
00
11
00
10
00
11
10
10
01
00
00
00
01
10
10
00
01
10
00
00
11
00
11
11
00
10
00
10
00
10
01
11
11
11
10
10
00
01
10
01
01
10
01
00
01
11
00
01
10
10
00
01
10
10
00
00
10
00
01
11
01
10
00
10
10
10
11
10
01
11
00
01
10
01
11
00
10
11
00
01
00
11
00
00
01
10
11
01
10
10
01
01
10
10
11
10
10
01
01
00
00
10
00
10
00
00
10
10
00
00
11
00
10
00
11
00
11
11
01
00
10
00
00
10
10
01
01
10
00
11
11
10
00
01
11
01
11
11
00
00
00
11
00
11
10
10
00
10
10
01
01
10
11
00
00
01
10
11
11
11
00
11
00
10
01
11
11
00
10
11
10
01
00
11
10
01
00
01
10
01
01
11
10
00
01
11
10
00
01
10
01
11
10
00
00
00
11
00
00
10
00
00
00
00
00
00
11
10
01
01
01
10
00
11
11
00
11
11
01
10
00
11
10
00
01
10
11
11
10
01
01
10
11
10
00
10
10
00
01
00
10
11
10
01
00
10
10
00
01
00
10
10
10
10
00
11
10
10
10
01
10
00
10
01
10
10
00
10
01
10
10
10
11
00
10
01
11
10
00
00
10
10
11
00
00
10
10
01
00
10
00
10
10
11
10
00
10
00
11
01
11
10
10
00
10
10
00
01
10
00
01
10
10
10
10
00
00
10
10
00
00
10
01
10
10
01
11
11
10
11
10
10
00
11
11
00
00
10
10
01
01
01
00
11
11
10
00
00
11
10
11
00
01
10
00
10
00
00
10
00
01
00
10
11
00
10
10
10
00
00
00
10
11
01
01
10
01
00
11
10
11
10
00
00
10
10
01
01
10
10
10
10
10
10
00
01
01
10
10
10
00
10
10
00
01
10
10
10
00
10
11
00
00
01
00
10
10
11
10
10
01
11
01
10
10
00
10
10
01
10
11
11
11
10
00
10
10
11
00
10
00
00
11
00
00
10
10
10
10
11
01
11
11
00
10
10
00
00
10
00
00
10
01
11
10
01
01
01
00
10
00
10
10
01
00
10
10
00
10
00
10
00
10
10
00
10
00
00
10
10
10
10
10
10
00
01
00
11
10
10
10
01
10
00
00
10
00
00
01
00
00
10
10
11
00
01
10
11
10
01
01
00
00
11
10
00
10
11
00
00
11
00
11
10
01
10
10
01
01
00
11
10
00
10
00
10
10
00
00
10
11
10
10
10
01
00
00
10
01
10
00
11
10
10
10
01
11
00
01
10
11
00
00
00
00
10
11
10
00
00
10
00
11
11
11
10
00
01
00
10
00
00
11
10
00
10
00
00
10
10
01
11
01
01
11
00
10
00
00
00
10
10
11
01
10
11
01
01
00
00
10
11
00
01
10
11
11
01
10
01
01
00
10
11
01
10
00
00
00
00
00
10
01
00
00
00
11
00
11
10
00
00
10
11
00
00
11
11
10
01
10
01
00
01
00
10
10
00
01
10
10
01
11
00
10
00
10
11
10
10
00
01
01
00
00
10
01
11
00
00
10
11
11
10
11
10
10
00
10
00
00
11
11
10
11
00
00
10
10
11
00
00
10
00
00
01
00
10
01
10
10
11
00
01
10
00
00
11
10
00
01
10
01
01
01
11
11
01
10
01
00
01
10
01
11
00
10
10
10
01
10
11
11
01
11
10
00
10
10
00
10
10
00
00
11
00
01
10
11
10
01
00
11
10
01
01
11
10
10
01
11
11
00
00
10
10
00
10
01
00
01
00
10
00
10
11
10
00
01
10
10
00
10
00
10
01
01
10
10
01
10
00
11
01
01
10
10
01
10
00
00
10
11
10
10
10
10
00
10
01
11
01
11
11
00
10
00
00
11
00
00
10
10
00
00
10
10
00
01
10
00
00
10
00
01
01
10
10
00
00
10
00
10
11
01
00
00
01
10
00
01
11
10
11
10
00
10
10
00
11
00
10
11
10
00
01
11
00
10
10
00
10
10
01
10
10
00
10
00
11
10
00
00
01
10
10
00
10
10
11
00
10
10
00
10
11
00
10
11
01
01
01
00
00
11
01
00
11
11
00
10
10
01
10
10
10
10
00
00
01
01
11
01
00
10
11
10
00
00
10
10
00
11
00
10
00
11
11
00
10
10
10
11
01
11
01
10
11
00
00
01
10
10
01
00
10
11
00
00
00
10
10
10
10
00
10
00
10
01
00
10
10
01
01
00
01
01
11
01
10
00
00
11
11
10
10
00
10
10
11
00
11
10
11
00
01
00
00
11
00
00
10
10
10
11
11
01
10
10
10
10
00
00
01
11
00
10
00
00
10
10
00
01
01
00
00
10
01
00
10
10
01
01
11
00
10
10
10
00
11
10
01
00
10
00
11
11
10
10
10
00
10
10
01
11
01
10
00
00
00
00
11
10
10
11
11
10
10
11
00
00
11
10
00
01
10
00
01
10
00
00
10
00
00
00
11
01
00
11
01
10
10
00
11
10
10
00
00
11
11
01
00
01
11
10
00
00
10
10
00
10
10
01
10
00
11
00
11
10
00
00
10
10
10
10
00
00
00
11
00
10
10
01
00
00
10
01
01
00
11
10
11
00
10
10
01
10
11
00
00
00
00
01
10
10
00
11
00
00
11
10
00
11
00
01
11
00
01
11
01
00
10
10
01
10
11
11
00
01
10
00
00
10
01
10
01
01
10
11
10
00
10
00
00
11
00
00
01
10
11
00
10
00
00
11
01
01
10
00
00
00
01
01
10
01
01
01
00
10
11
00
10
10
10
01
11
01
10
00
11
11
11
10
10
00
01
11
00
00
11
01
01
11
01
11
00
10
10
10
00
00
00
10
10
10
10
10
00
10
00
01
00
00
10
01
10
10
01
10
10
01
11
00
01
00
00
00
11
11
10
00
01
00
01
11
10
00
10
00
00
10
10
00
01
11
10
10
10
11
10
11
00
11
10
01
10
00
10
00
10
11
01
00
10
01
00
10
00
00
10
00
10
01
10
00
10
01
11
11
00
00
11
10
00
00
10
11
01
10
00
10
10
01
11
10
00
11
01
10
10
01
10
11
10
01
01
00
10
00
10
01
10
10
00
01
10
00
00
11
00
11
10
11
10
01
01
10
11
01
00
10
01
00
11
10
00
00
10
11
00
00
10
01
00
00
10
00
10
00
11
01
00
00
10
10
00
10
10
00
11
01
00
00
00
11
10
10
10
10
00
01
10
00
00
00
10
00
00
10
10
01
11
00
10
11
00
01
11
01
00
10
00
00
10
10
10
01
00
10
01
11
10
10
00
01
00
10
10
10
11
01
11
00
00
11
10
10
00
01
11
00
01
10
10
00
10
00
01
10
10
01
01
11
01
01
10
00
01
10
10
00
11
00
00
00
10
01
10
00
01
01
10
10
11
11
10
00
10
00
10
10
00
11
00
10
10
00
11
00
00
10
10
00
01
01
11
10
00
11
00
11
11
00
10
10
10
00
00
10
00
00
10
11
10
11
11
10
11
00
10
00
00
11
00
00
11
01
00
01
00
00
00
10
11
11
00
00
10
11
00
00
10
10
00
00
00
10
11
10
00
10
00
10
00
01
10
11
10
00
01
00
01
00
00
11
01
00
11
10
00
10
10
01
00
10
10
00
10
10
00
01
10
10
01
11
10
00
10
10
00
00
01
00
10
00
10
10
11
00
00
00
00
11
11
10
01
00
10
00
00
10
10
01
00
11
11
10
01
00
01
10
00
00
01
10
10
01
00
10
00
01
11
01
00
00
11
11
11
10
00
01
01
00
10
10
00
01
00
10
01
10
01
11
00
01
10
00
00
00
00
11
00
11
00
11
10
01
10
11
10
00
11
00
00
10
11
00
00
00
00
01
10
10
00
10
10
10
01
00
01
10
11
10
10
00
11
10
00
01
10
10
01
11
10
00
01
11
10
11
01
00
00
11
10
11
01
00
10
10
10
10
00
10
10
00
00
10
01
10
11
00
00
01
00
01
10
10
00
10
10
10
00
00
10
10
00
01
11
00
11
00
11
10
00
00
00
10
11
10
00
01
11
00
10
00
00
00
01
10
10
01
01
00
00
00
10
10
00
00
10
10
10
10
01
10
11
00
00
10
10
01
00
00
10
00
01
10
10
10
11
00
10
10
11
00
10
00
01
00
00
11
00
10
01
01
00
10
00
01
11
10
10
10
10
00
10
01
10
10
10
10
00
00
11
00
00
01
10
10
11
10
10
10
01
00
11
10
01
10
11
00
11
00
01
01
10
11
11
00
01
11
01
10
10
10
10
00
00
01
10
00
10
10
10
10
10
00
10
00
00
01
00
00
10
11
11
00
10
00
01
00
00
10
11
00
00
01
01
00
11
10
00
01
10
10
10
00
00
10
10
00
10
10
00
10
00
00
00
01
00
10
00
00
00
11
00
10
00
10
00
00
11
10
10
00
00
00
11
10
01
00
00
00
00
10
11
00
01
11
10
00
00
11
10
10
01
10
00
01
01
00
10
01
10
10
00
00
11
00
11
10
00
00
01
01
01
10
00
10
01
00
11
10
10
10
00
10
00
00
00
00
01
11
10
11
11
00
10
00
11
00
11
10
00
00
11
00
11
10
01
00
11
11
10
01
00
11
11
01
00
10
01
01
01
11
10
01
10
00
10
11
00
10
10
00
10
01
00
00
01
11
00
00
11
00
01
10
00
10
10
01
10
10
00
11
11
10
10
01
11
11
10
11
00
10
10
00
10
10
10
01
10
00
01
00
10
10
00
01
11
10
01
00
01
11
11
00
01
10
00
10
10
10
10
00
00
10
11
00
10
00
01
00
01
00
01
11
10
11
01
00
10
11
00
11
10
01
00
10
00
10
11
01
10
11
10
00
01
10
10
10
11
00
01
01
10
11
00
00
00
11
10
10
00
10
10
00
10
10
00
00
10
00
00
10
01
11
01
10
00
00
00
10
00
10
10
10
00
00
00
01
01
10
11
10
10
00
00
11
10
01
00
01
00
00
10
11
11
00
11
11
01
10
10
01
10
00
00
11
10
00
11
01
00
11
10
10
10
00
00
00
00
10
10
00
00
10
00
01
00
10
00
10
10
00
10
10
10
11
10
00
00
11
10
00
10
10
10
11
10
00
00
00
00
00
10
10
01
01
01
11
01
00
11
00
10
10
00
01
10
10
01
10
10
00
10
00
00
10
10
11
00
01
00
11
10
01
10
00
00
00
11
10
10
10
00
11
00
11
11
00
10
00
01
11
10
01
01
10
10
01
00
00
01
10
10
10
00
01
00
10
10
11
01
10
01
00
10
11
10
00
00
01
01
01
10
10
01
10
10
01
10
11
01
00
10
00
00
00
10
01
10
11
10
00
11
00
10
10
11
01
00
00
10
00
11
10
10
01
10
01
10
10
10
00
01
10
00
00
01
01
01
10
10
10
00
00
10
00
11
01
10
10
10
01
00
10
10
10
00
00
01
10
01
01
11
00
10
00
00
10
11
01
11
11
01
10
00
00
11
11
01
00
11
11
00
10
00
10
10
01
01
01
11
11
10
10
10
10
00
01
00
11
10
00
10
10
10
11
11
01
01
01
11
01
10
00
00
10
10
00
00
10
10
01
00
10
10
00
11
10
10
00
11
11
00
00
00
00
10
01
00
01
11
10
00
00
10
10
10
01
11
11
01
10
01
00
01
10
10
00
00
10
10
00
00
10
11
00
00
00
11
00
00
10
11
11
10
11
01
00
01
10
10
00
00
10
11
10
00
00
11
00
10
01
00
11
00
00
10
11
00
10
00
00
11
10
10
00
00
10
10
01
10
01
11
10
10
00
01
11
01
00
10
00
00
00
01
10
10
10
11
01
01
00
00
11
10
11
00
11
10
00
01
10
11
00
00
11
01
01
00
01
10
00
10
00
00
11
10
00
11
10
10
10
01
11
11
01
00
01
10
00
11
01
11
10
10
10
10
01
10
00
00
00
10
10
00
00
10
10
00
00
01
10
00
10
00
00
10
10
10
01
01
10
10
01
01
00
10
01
11
00
10
00
11
10
01
00
10
10
00
10
01
10
11
00
00
00
10
00
00
00
10
10
00
01
11
10
10
10
10
00
10
00
10
11
00
01
01
10
10
10
01
11
01
00
00
01
11
10
10
10
00
11
10
10
10
01
01
01
10
00
00
00
00
00
10
10
11
11
10
00
00
00
01
01
11
11
00
00
10
11
10
00
01
10
11
10
00
10
10
01
00
10
01
00
11
10
10
11
11
00
00
01
10
00
01
00
00
00
11
10
10
11
10
10
01
00
01
00
00
10
10
00
10
00
00
00
00
01
10
10
10
11
11
11
10
00
00
10
11
01
01
11
11
00
00
11
10
10
00
00
11
11
11
10
00
00
10
01
11
10
00
00
00
01
10
10
10
00
10
00
01
10
00
10
10
01
01
00
00
00
10
10
11
00
01
10
00
00
10
10
00
11
10
00
00
10
10
01
10
10
10
10
01
10
10
10
00
10
11
10
00
00
01
10
00
01
00
01
10
10
11
00
00
00
11
10
00
11
11
10
00
10
11
11
01
10
01
00
10
11
00
11
11
11
00
00
00
10
10
00
11
00
01
11
10
10
10
00
00
10
10
01
11
11
10
01
00
01
10
00
00
10
00
00
11
11
01
00
11
11
00
10
01
10
10
01
00
00
00
11
01
01
10
10
11
00
01
11
10
10
11
11
00
00
01
11
01
00
00
10
10
10
10
01
11
00
10
01
00
10
10
11
11
01
11
11
11
10
10
00
01
10
01
00
11
10
00
10
10
01
00
10
00
00
00
01
10
10
01
00
00
00
00
11
10
10
01
11
00
01
11
11
10
00
11
00
10
10
10
00
00
10
11
00
00
10
10
00
00
00
10
01
00
10
10
01
00
11
00
00
11
00
01
11
11
01
11
11
11
11
00
11
10
01
10
10
01
11
11
11
00
00
10
10
01
01
01
10
11
00
10
00
01
10
10
00
00
10
00
10
01
10
00
01
10
01
10
00
01
10
10
00
00
10
01
10
11
10
10
11
11
10
00
11
10
10
11
10
00
00
10
10
00
00
10
00
01
00
10
00
00
11
01
10
00
00
00
10
10
10
00
00
00
00
11
11
11
00
11
10
10
11
01
01
00
10
10
11
01
11
10
01
00
11
00
01
00
11
00
00
10
11
10
01
00
10
10
10
01
00
10
11
10
01
00
00
01
00
10
00
10
10
00
01
10
10
10
00
00
11
00
00
11
01
10
00
11
10
10
10
00
00
10
11
11
01
01
00
10
01
00
10
10
00
01
10
01
00
00
00
10
00
11
10
01
00
00
10
10
00
10
10
00
00
10
10
00
10
00
10
11
10
11
00
11
10
00
11
10
00
00
00
11
11
01
11
10
10
01
10
10
01
00
10
10
10
11
11
10
10
10
10
10
00
00
11
01
10
00
00
00
10
00
00
11
00
10
00
10
00
01
00
10
01
00
10
10
00
10
01
10
00
10
11
01
01
11
11
00
00
10
00
00
10
11
01
00
11
10
11
00
00
11
11
00
00
10
10
10
10
01
00
00
10
10
10
11
00
10
00
11
00
00
00
10
00
00
10
10
01
00
11
11
10
10
10
00
10
01
00
10
10
10
00
10
01
00
01
00
11
01
00
00
10
10
00
00
10
10
00
11
01
00
10
00
10
01
00
10
01
11
11
00
10
11
01
11
10
00
00
01
10
11
00
01
11
10
10
11
00
00
01
11
01
00
10
00
00
10
11
01
00
10
10
10
00
01
11
11
11
01
00
10
01
10
00
10
10
01
00
10
10
10
10
11
00
00
00
00
10
01
00
10
11
11
10
01
00
10
00
01
11
00
00
10
10
01
00
10
11
00
10
01
01
01
10
01
10
10
01
10
00
00
10
11
00
11
00
01
10
11
00
00
11
10
10
00
01
10
00
10
01
01
10
11
11
11
00
00
11
00
00
01
00
11
11
10
10
10
00
00
10
00
00
11
10
01
11
11
00
10
01
10
10
00
10
10
00
00
10
01
10
00
00
10
00
00
01
11
11
11
00
10
00
00
01
11
10
01
10
01
10
00
01
11
11
00
00
11
00
11
11
00
00
01
10
10
00
00
10
10
10
01
00
01
11
11
11
10
10
10
11
00
10
10
00
01
00
00
10
00
00
11
10
10
10
00
00
11
10
10
01
01
11
00
10
10
01
00
00
00
10
00
01
00
00
11
00
00
10
01
10
01
00
01
10
00
00
11
01
01
11
11
10
10
10
10
00
01
10
10
10
00
10
10
00
01
00
00
11
01
11
00
01
10
11
00
00
10
00
01
11
00
00
00
10
00
00
10
10
10
10
10
00
11
00
00
00
10
00
11
00
00
10
10
11
10
11
00
00
01
11
01
01
00
10
11
00
00
10
10
01
01
10
00
10
10
00
10
11
11
01
00
11
10
00
01
10
11
00
11
10
01
00
00
10
10
11
00
00
10
00
00
10
00
01
10
10
00
11
01
01
10
11
11
01
00
01
01
11
10
01
00
10
10
00
00
10
10
00
11
10
01
10
00
00
10
01
11
11
00
00
11
10
01
01
10
01
01
10
00
00
10
10
11
00
10
01
00
01
10
00
10
10
10
01
10
11
01
01
00
01
00
10
10
01
00
00
10
00
01
10
01
10
10
11
11
01
11
10
00
10
00
10
10
00
01
01
01
00
10
01
01
01
00
00
10
01
00
11
00
11
10
00
10
00
10
10
00
00
10
10
00
10
00
00
00
00
00
10
00
00
10
10
00
11
10
10
10
00
00
10
00
01
10
10
11
00
00
01
11
00
01
10
11
00
10
10
00
01
10
01
01
10
01
11
10
11
10
01
11
11
00
01
11
10
10
00
01
11
00
00
10
00
00
10
00
01
11
10
11
00
10
10
10
10
00
11
00
00
11
10
00
10
10
10
11
01
10
10
10
11
00
00
10
00
10
01
11
00
00
11
10
11
01
00
10
00
00
00
10
11
00
11
10
10
11
00
11
10
10
00
01
10
00
00
11
00
01
01
00
11
00
10
01
00
10
10
00
00
01
00
10
01
10
01
00
10
10
01
11
10
00
01
11
00
01
10
00
00
00
10
10
00
11
10
10
11
10
00
00
10
10
00
10
00
00
10
11
00
11
01
10
10
10
11
00
11
10
10
01
10
10
00
01
10
10
10
10
01
10
00
00
00
10
10
00
10
10
00
11
01
01
10
00
00
00
01
10
10
00
11
00
10
00
10
01
10
00
00
01
10
01
10
10
10
10
10
10
01
00
00
10
01
10
10
10
10
00
00
00
00
11
10
01
00
00
11
01
01
10
10
00
01
00
11
10
11
10
00
00
10
11
00
00
10
01
00
00
01
00
00
10
10
10
00
00
11
11
11
00
11
00
00
10
11
00
00
11
10
11
01
10
01
00
00
10
10
01
10
01
00
00
10
11
01
00
11
01
10
00
11
01
11
10
00
10
10
11
11
00
01
10
00
11
11
00
01
00
10
10
10
10
00
00
11
10
01
11
10
10
10
00
10
10
00
10
10
00
00
00
10
11
00
11
00
00
10
00
11
00
11
10
01
11
00
01
10
01
00
00
01
10
01
01
11
10
11
10
01
00
01
10
10
11
00
10
10
01
10
00
00
00
00
11
10
00
00
10
11
00
11
11
01
01
01
10
10
00
01
10
01
01
10
10
11
01
01
01
11
11
10
10
10
00
00
01
01
10
10
01
00
00
11
01
10
00
00
10
10
01
01
11
11
00
00
01
01
11
00
00
10
10
01
11
10
01
10
10
11
10
01
11
10
01
00
10
11
11
10
00
00
11
10
10
01
10
01
10
10
00
10
10
00
01
11
10
00
00
10
00
10
00
10
11
00
01
10
10
11
11
11
00
01
10
11
00
10
10
11
10
01
00
10
10
00
00
00
10
10
10
01
00
11
10
10
00
11
10
01
00
10
10
00
00
00
11
10
10
00
10
10
00
00
01
11
10
00
10
10
10
01
11
00
10
01
10
11
10
00
00
00
11
01
00
10
00
01
01
00
00
10
00
10
00
11
10
10
00
00
10
00
00
10
00
00
00
01
10
11
00
00
10
10
01
00
11
10
00
01
00
10
10
01
10
10
00
10
00
01
00
00
10
00
10
10
11
00
00
11
10
01
11
00
10
10
11
00
10
10
00
00
00
00
10
11
10
01
11
00
00
00
00
11
10
00
00
10
10
01
00
11
11
11
01
10
00
01
10
10
10
00
01
10
10
00
10
10
00
00
01
11
10
10
10
00
00
10
00
11
11
10
00
00
00
11
10
00
00
00
00
10
01
00
01
00
01
00
10
10
10
00
01
10
10
10
00
10
00
00
11
01
00
11
10
10
00
10
10
00
10
10
00
10
00
01
11
01
01
10
00
10
10
01
10
10
00
00
11
00
11
11
10
00
00
10
00
11
01
00
10
00
10
11
10
10
10
00
00
01
10
01
10
01
10
00
01
01
01
10
10
10
01
11
11
10
00
10
10
10
01
00
10
11
01
00
10
00
00
01
11
10
01
00
01
11
11
10
11
01
01
11
10
01
01
10
00
00
01
11
00
10
00
10
11
10
11
00
10
01
10
10
11
10
01
11
10
00
10
00
00
11
10
00
00
00
10
01
11
11
00
11
10
00
01
10
01
11
10
00
01
11
10
00
00
10
01
11
10
10
10
00
01
10
00
10
10
11
10
10
10
00
00
11
11
00
11
01
10
10
00
10
00
10
10
11
01
10
01
00
10
10
01
11
10
00
00
00
00
01
01
10
00
10
00
11
01
10
10
10
01
00
00
10
11
00
01
10
00
01
11
00
00
00
10
00
00
10
10
01
00
10
11
10
10
10
11
00
10
11
01
10
00
00
10
00
00
00
00
00
00
00
10
10
10
01
00
10
10
10
10
00
10
11
01
10
11
00
10
10
00
00
00
11
11
10
01
00
01
01
01
00
00
00
11
10
11
00
10
10
01
10
00
11
10
01
10
00
11
10
01
00
10
11
00
00
00
00
10
00
11
01
00
00
01
00
01
10
10
11
00
00
01
10
10
01
01
11
11
00
01
00
10
11
10
00
00
00
11
00
00
10
00
10
10
10
00
10
10
10
00
10
00
10
11
00
10
10
00
10
10
11
00
10
10
11
00
11
10
00
00
00
10
10
01
11
11
10
01
00
01
11
00
00
10
00
10
10
01
00
10
01
10
11
11
01
10
11
00
01
00
10
10
10
10
00
10
00
10
11
00
00
10
01
01
01
00
11
00
00
00
10
11
11
11
01
00
00
10
11
01
01
10
01
01
10
01
11
10
01
00
01
01
00
10
00
01
00
10
10
00
10
10
11
10
00
01
10
01
00
01
10
00
00
00
11
10
00
00
10
10
00
00
10
00
00
00
00
00
11
11
10
01
11
00
11
10
00
10
11
00
10
11
00
10
11
00
00
10
11
01
10
00
00
10
00
10
10
01
00
01
10
00
10
10
01
01
11
11
00
01
00
11
00
10
11
10
10
01
00
10
00
01
00
10
10
10
11
01
00
01
00
00
10
00
11
00
01
10
00
00
11
00
00
01
01
11
01
10
10
00
10
00
00
11
10
11
11
01
10
00
01
10
10
10
01
01
01
10
10
01
10
10
01
01
10
10
00
10
10
10
10
00
10
11
10
01
00
10
10
00
00
10
00
10
00
01
01
11
00
00
00
10
10
10
10
00
00
10
00
10
00
10
01
01
00
01
00
10
10
00
11
00
00
01
11
10
00
00
00
00
10
10
01
00
10
11
01
10
11
00
10
00
11
00
00
10
10
10
10
10
01
01
00
10
00
11
00
00
10
01
00
01
10
11
10
00
10
10
00
01
00
00
10
00
11
11
00
11
00
11
00
01
10
00
00
11
11
01
00
10
10
10
10
00
01
10
10
10
10
01
10
00
01
11
10
10
10
00
10
11
00
01
01
10
00
10
11
01
00
10
10
00
10
11
10
01
00
11
10
11
00
00
10
11
11
00
01
00
00
10
00
10
10
10
10
11
00
10
10
10
11
10
00
01
00
10
01
11
00
01
10
00
11
10
01
00
10
01
00
10
01
00
10
00
00
10
00
00
01
01
00
10
11
00
11
11
01
00
01
00
10
00
10
01
00
00
00
10
10
10
00
00
00
10
01
00
10
10
00
00
00
11
11
01
00
00
00
11
00
00
01
11
10
00
00
10
01
00
11
00
00
10
10
11
00
00
10
10
01
10
10
01
10
11
10
00
00
10
10
00
00
00
10
11
00
00
11
01
10
00
10
10
00
01
00
10
10
11
10
10
00
01
10
00
01
10
10
00
01
01
11
11
01
11
10
10
00
00
10
11
11
10
00
00
10
00
00
10
11
00
01
10
00
00
10
10
00
01
11
10
01
00
10
11
10
10
11
00
00
11
00
00
00
00
11
10
01
11
10
00
10
00
01
00
00
10
10
00
10
00
10
10
01
11
10
01
10
00
00
11
00
00
10
11
11
11
11
00
11
10
01
10
10
01
10
11
00
00
00
00
10
10
10
00
01
10
10
10
10
10
11
00
00
01
00
00
00
00
00
00
10
10
10
00
01
11
10
01
10
01
10
01
00
10
10
00
00
11
10
00
01
11
00
10
00
10
10
00
10
10
00
00
11
01
10
10
00
00
10
10
00
00
10
10
00
01
11
00
11
00
01
01
01
10
10
10
00
10
11
11
00
00
10
10
00
01
10
10
01
10
01
10
11
10
10
00
10
00
00
10
10
01
00
01
00
01
00
00
00
10
10
00
10
10
00
00
11
10
10
00
00
10
10
00
00
10
01
00
00
11
00
01
10
11
11
10
11
00
00
11
00
01
01
00
10
11
00
01
11
01
01
00
11
11
00
00
01
10
10
00
10
11
01
00
00
00
10
11
01
00
10
10
10
10
00
01
10
00
00
11
10
01
00
11
10
01
10
00
10
11
10
00
10
11
11
01
10
10
00
10
01
10
01
00
00
01
11
00
11
10
00
10
01
10
10
01
00
00
01
10
10
11
11
00
10
01
10
00
10
11
01
00
10
10
10
01
10
10
10
01
11
00
00
00
01
01
00
10
01
00
11
10
11
00
00
10
10
11
00
00
10
11
10
00
01
11
00
00
01
10
00
00
10
10
10
10
00
01
10
00
00
10
10
00
10
11
10
10
00
00
01
00
11
10
00
01
00
10
10
00
00
11
10
11
10
01
00
11
10
01
00
11
10
00
10
01
10
10
10
00
01
10
10
10
01
01
00
10
10
00
00
00
11
00
00
00
00
10
10
10
10
11
10
11
00
00
00
10
10
00
01
11
10
11
10
10
00
11
00
00
11
10
10
11
10
10
10
00
00
11
10
01
11
10
10
11
00
00
11
10
00
10
00
00
00
10
11
00
10
10
00
10
10
01
00
10
10
00
10
11
00
10
00
00
11
10
10
01
01
00
11
00
10
00
00
10
10
00
00
10
10
10
10
11
10
10
00
00
00
00
11
10
10
00
11
01
10
11
00
00
11
11
01
00
00
10
01
00
01
10
00
01
00
10
00
10
11
00
01
01
01
11
11
10
10
00
01
10
10
10
01
01
10
01
00
10
01
01
11
10
10
00
01
01
10
10
00
01
11
01
00
11
10
01
00
00
10
10
10
00
10
10
10
10
01
10
10
00
10
01
10
10
00
00
10
00
10
00
01
10
10
10
00
01
10
11
01
10
10
00
01
00
00
11
10
00
11
10
01
00
01
11
00
01
10
00
00
10
01
10
10
01
00
01
01
10
10
00
00
10
10
00
01
00
11
11
11
10
01
01
10
00
10
00
00
10
10
00
01
00
10
00
01
11
10
10
01
00
10
11
10
10
10
10
10
10
10
01
10
00
01
10
01
01
01
00
01
00
00
01
00
11
10
00
01
11
10
00
10
10
01
00
11
00
00
10
10
00
00
01
10
00
00
11
01
11
00
10
11
11
11
00
01
00
00
10
10
11
00
00
00
00
00
10
11
00
00
01
00
00
10
10
11
10
01
11
01
10
11
01
00
01
10
10
00
00
10
00
00
10
00
10
00
00
11
11
00
10
00
10
00
11
01
11
00
00
10
00
11
10
11
00
00
10
11
10
10
00
00
10
11
00
01
10
10
10
01
00
00
00
10
10
10
11
00
10
11
10
10
01
10
11
10
11
10
00
11
10
11
01
01
00
00
10
10
10
01
00
11
11
00
01
10
10
00
01
11
11
01
11
00
01
00
10
00
00
10
00
11
10
10
11
10
00
11
00
10
11
00
01
10
01
01
00
10
10
00
01
10
10
11
11
01
00
10
00
10
00
10
10
01
00
10
10
11
11
01
00
00
01
10
10
10
00
00
11
10
11
01
00
10
00
00
00
10
10
00
00
00
00
00
10
00
01
10
10
11
00
00
10
10
00
01
10
10
10
01
00
10
00
01
00
00
11
10
10
00
10
10
11
01
00
11
10
00
01
11
10
00
11
10
11
01
01
10
00
10
01
11
01
01
10
10
11
00
01
00
01
11
11
00
00
01
10
10
10
00
00
10
01
10
00
00
00
10
11
11
00
11
00
10
01
01
00
00
10
10
00
10
10
01
00
11
10
00
01
10
11
00
01
11
11
00
00
00
11
11
10
00
00
10
10
01
01
00
10
10
00
11
00
10
10
10
01
00
01
00
00
00
10
10
00
10
00
10
10
01
00
10
10
01
10
01
00
01
01
10
11
01
11
11
11
01
00
10
11
10
00
10
00
01
11
10
10
01
11
00
10
10
00
00
11
01
00
11
00
00
11
00
11
10
01
01
01
00
00
10
10
10
10
10
00
00
00
00
00
10
01
01
10
00
10
10
01
00
10
00
01
10
01
10
11
00
00
10
00
11
11
10
01
01
00
00
10
10
10
10
00
01
11
10
11
10
00
00
10
00
00
01
10
11
01
10
11
01
00
10
00
00
10
11
01
00
01
01
10
10
11
00
10
00
00
00
11
10
00
10
10
01
10
11
00
00
00
11
10
10
10
00
10
00
01
10
01
00
00
10
00
00
00
00
00
11
11
01
01
11
01
10
00
10
10
00
01
10
10
00
10
01
01
01
11
00
00
00
10
10
00
10
10
10
00
10
10
10
00
00
11
11
11
00
00
11
00
10
10
00
00
11
10
10
10
00
00
10
10
11
10
10
00
00
00
10
00
01
10
10
11
10
11
10
00
01
10
00
01
01
10
10
00
00
01
10
01
11
11
10
00
00
10
11
00
01
00
00
10
10
00
01
10
10
00
01
11
00
11
00
10
11
10
01
01
00
11
11
11
10
01
00
11
00
00
10
10
01
01
00
11
00
00
01
10
11
10
10
00
10
01
10
10
00
10
01
00
10
00
10
01
00
11
10
10
00
11
10
01
10
10
00
11
10
00
11
10
10
10
01
00
01
00
10
10
00
10
00
00
11
00
00
01
01
11
01
01
10
10
10
00
00
10
10
10
11
10
11
11
11
01
01
00
11
10
01
00
00
10
11
00
00
10
11
01
00
10
11
00
11
10
01
00
01
11
00
01
10
00
00
10
01
01
10
10
00
10
00
11
10
11
10
10
01
01
00
00
00
10
10
00
00
00
10
10
10
11
00
00
00
10
10
00
10
01
10
10
10
00
10
11
10
01
10
10
00
00
11
01
01
11
00
00
01
00
01
10
10
00
10
10
10
11
11
00
01
11
10
00
11
01
00
00
00
10
10
00
00
10
01
00
00
10
10
01
00
10
10
00
01
10
11
10
00
01
11
11
00
10
11
00
00
01
10
11
11
00
00
10
10
01
01
11
00
00
01
10
10
00
11
10
00
00
10
10
00
00
00
01
11
00
00
00
10
11
01
10
10
00
00
00
00
01
10
10
00
10
00
00
00
10
00
01
11
10
10
01
11
00
00
00
10
00
00
10
00
00
11
11
11
01
00
10
01
10
00
00
11
00
01
01
00
00
00
00
11
11
01
11
11
00
00
11
00
10
10
00
00
10
00
00
00
10
01
01
00
00
10
00
10
11
10
10
00
11
01
10
00
10
00
01
11
01
11
01
00
11
00
10
00
10
11
01
00
10
11
10
10
00
00
10
10
10
10
00
10
01
11
00
00
01
11
00
10
01
00
00
10
10
10
10
00
00
00
10
01
00
00
10
10
10
10
00
00
01
00
10
01
10
00
01
10
01
10
01
00
00
01
00
00
10
11
00
10
11
00
10
10
00
10
00
10
10
00
01
01
01
01
10
00
00
00
10
10
10
00
00
10
00
01
11
10
01
01
00
00
11
10
00
11
11
00
00
10
00
10
00
10
00
00
01
10
10
11
01
01
00
01
11
00
10
00
00
10
01
10
11
10
01
01
00
00
10
11
00
11
11
11
10
00
00
01
11
00
00
10
01
00
00
00
00
01
10
00
11
00
00
11
00
00
00
01
01
10
11
00
00
10
01
11
10
00
10
00
00
10
10
00
10
00
10
00
00
00
01
10
11
01
10
11
00
11
10
10
01
10
10
00
11
10
10
10
00
00
00
00
10
00
01
11
10
11
10
10
01
00
00
01
11
10
11
01
10
10
10
11
00
00
10
01
01
00
11
00
01
10
10
00
10
10
11
10
00
10
00
00
10
00
01
00
00
10
10
10
10
10
11
00
10
10
10
01
10
10
01
10
10
11
00
00
00
01
00
00
00
00
10
10
01
10
11
00
11
01
00
11
10
11
01
00
10
11
00
10
10
00
10
01
01
11
11
01
11
01
01
11
10
01
00
10
11
00
00
01
10
11
11
10
11
10
10
00
01
00
10
11
00
10
10
00
00
01
10
00
10
10
10
00
01
10
11
00
10
11
01
00
00
10
11
10
11
10
10
11
01
01
10
01
00
00
11
01
01
10
00
11
10
01
01
10
10
11
00
00
11
10
00
00
10
01
01
11
00
10
00
01
01
10
10
00
01
10
10
01
00
10
00
10
00
10
00
00
11
11
11
00
10
10
10
10
00
00
10
10
10
11
01
01
10
01
00
10
01
00
11
10
10
00
10
10
01
11
00
10
11
00
00
00
11
00
00
10
10
00
01
10
10
10
01
01
00
10
01
01
10
00
11
10
01
01
11
00
00
10
11
01
01
10
10
00
00
10
10
00
00
01
10
10
00
01
01
00
01
11
10
00
11
11
10
11
00
01
10
00
00
00
10
10
01
00
10
10
00
00
01
10
11
10
11
10
00
11
11
11
11
10
01
10
10
11
00
10
00
00
11
00
10
11
00
10
10
01
00
10
11
01
00
11
10
01
01
00
10
00
01
10
10
11
00
00
11
00
00
10
11
10
10
00
00
00
10
10
00
11
10
00
00
00
11
11
10
01
00
00
00
10
10
11
00
01
00
01
10
11
00
00
00
10
10
00
01
10
11
11
01
01
00
10
10
10
00
10
10
00
11
10
01
01
01
10
10
10
00
11
00
00
10
10
01
10
00
00
10
01
01
10
10
10
10
00
01
00
10
10
01
10
01
10
10
10
10
01
11
10
10
00
10
11
10
01
10
10
10
11
00
00
10
11
00
00
11
10
00
00
10
00
00
11
00
10
10
10
11
10
00
00
00
11
00
01
11
11
01
00
01
10
10
00
00
10
11
10
00
10
00
11
11
00
01
10
10
10
01
11
10
00
00
10
11
11
11
01
10
11
10
00
01
10
00
00
10
11
11
00
00
00
01
00
00
00
00
00
11
11
11
00
01
10
00
11
00
00
00
11
11
10
00
00
10
01
10
00
01
10
00
10
10
01
10
01
10
10
01
00
11
10
10
01
10
11
00
00
10
00
10
10
11
01
00
11
00
00
00
01
10
01
00
10
10
01
10
01
00
10
10
10
01
11
10
01
01
00
01
00
10
01
10
11
10
01
00
10
10
10
10
10
01
00
01
10
11
11
10
10
00
10
10
10
00
10
10
00
10
00
10
10
10
00
10
11
01
01
10
01
00
11
10
01
10
10
00
00
00
10
00
00
00
00
01
10
11
00
10
11
00
11
10
10
00
11
00
01
10
11
10
01
10
00
10
10
00
10
10
00
10
00
00
10
00
00
11
10
01
01
01
11
10
10
00
00
00
01
10
10
10
01
10
11
01
00
10
11
00
00
10
10
01
00
01
10
00
01
10
00
10
10
01
00
10
00
10
10
10
01
00
00
01
00
11
10
10
01
10
11
11
10
01
10
01
01
00
11
11
10
01
11
10
11
01
00
10
00
10
00
10
11
11
01
10
00
01
10
10
01
00
00
10
01
10
00
10
10
10
00
01
11
01
10
10
01
10
10
10
11
00
00
10
11
11
01
00
01
00
10
00
10
10
10
00
01
00
01
10
10
01
11
10
00
01
10
10
00
10
00
10
10
01
01
10
01
00
10
10
11
11
11
00
00
00
00
11
11
01
01
10
01
01
00
10
01
11
00
00
11
10
10
00
10
10
10
00
01
11
10
10
00
01
01
01
00
11
00
11
00
00
10
11
00
01
00
10
10
00
00
10
00
00
11
11
00
10
11
10
00
01
01
11
10
11
00
10
10
00
10
10
00
01
10
10
00
00
00
10
10
00
10
00
00
00
10
10
10
11
11
01
00
01
01
10
10
00
00
10
11
10
11
01
00
01
00
10
00
10
11
00
10
10
00
00
11
10
00
01
11
11
00
10
10
00
00
00
01
10
10
01
00
00
10
01
00
01
10
01
00
10
10
11
00
00
00
10
11
10
11
01
10
00
00
10
00
10
10
11
00
10
00
10
00
00
00
11
00
10
10
00
00
11
11
00
00
10
10
11
11
10
00
00
00
00
00
10
00
11
01
11
11
00
11
00
01
10
00
10
01
00
11
10
10
01
01
10
01
10
10
10
10
01
01
01
10
01
10
11
00
10
01
10
00
01
10
01
01
10
10
11
01
10
10
00
00
00
10
00
11
00
00
10
10
10
10
10
00
00
01
10
10
11
00
10
10
01
00
11
00
00
10
11
11
10
00
00
01
11
01
11
10
00
10
10
11
00
00
10
11
00
10
00
00
11
01
11
10
00
00
10
00
00
11
10
00
10
11
11
01
00
10
11
01
11
10
10
00
11
10
00
10
11
01
01
11
01
10
10
11
01
00
01
11
10
00
00
11
11
00
10
10
00
10
11
00
01
10
10
10
01
00
10
10
00
01
00
00
11
01
10
10
11
01
10
11
00
01
10
10
00
10
10
00
10
10
01
10
01
00
00
01
10
01
10
11
00
00
00
00
10
10
00
00
00
10
01
10
00
01
01
01
01
11
00
00
01
00
11
11
10
00
00
10
10
01
00
10
11
01
10
00
10
10
01
00
11
00
10
01
00
11
10
10
00
11
10
00
11
10
01
11
10
10
01
00
10
11
11
10
01
00
00
10
11
00
01
00
11
10
00
00
10
11
00
01
10
10
10
10
11
01
00
10
01
11
10
10
10
11
00
10
01
00
01
10
10
10
10
10
01
00
10
11
00
10
10
01
00
10
11
00
11
10
00
01
10
00
01
00
10
10
01
01
00
11
00
00
00
00
00
10
01
11
00
11
10
10
10
01
00
10
10
00
10
00
10
11
01
01
10
00
11
01
11
10
00
01
01
00
10
11
01
01
10
11
10
00
01
01
01
10
00
00
11
10
01
00
10
01
00
11
10
10
00
11
11
00
00
10
00
00
10
11
01
10
00
11
00
10
01
00
10
10
00
01
01
00
10
10
00
11
10
10
00
11
11
10
00
00
10
11
00
11
11
00
00
00
00
10
00
00
00
10
11
01
10
11
00
00
00
10
10
10
00
00
10
10
10
10
00
01
00
00
00
00
10
10
10
01
00
10
10
10
10
10
10
01
00
10
10
10
00
10
10
00
10
10
00
11
11
10
01
00
01
10
00
00
00
10
11
10
00
00
10
00
10
10
10
00
00
10
10
10
10
00
11
10
11
11
01
10
00
01
11
11
01
01
10
10
01
10
01
00
11
10
01
01
10
01
00
00
11
00
01
00
00
10
00
10
10
00
11
01
00
10
01
10
00
10
00
00
01
10
01
11
01
01
00
10
10
10
01
00
10
11
11
00
10
00
00
10
00
10
10
01
10
10
00
01
10
10
10
00
10
00
00
10
00
10
01
01
11
10
10
00
11
10
01
10
11
10
10
01
11
00
01
00
11
10
10
01
10
10
10
00
00
11
00
10
10
10
10
01
10
10
00
11
10
00
11
10
00
00
10
10
01
00
10
00
00
01
11
01
11
11
01
00
10
10
00
00
10
10
00
00
10
10
10
01
00
00
11
00
00
10
00
00
00
00
00
00
10
10
00
11
00
10
00
01
11
00
10
10
11
00
10
00
00
00
01
10
11
01
01
10
10
10
00
10
00
01
01
00
10
10
11
11
10
10
10
00
00
11
10
00
10
10
10
11
01
01
00
01
10
10
01
00
10
11
01
01
10
01
10
00
00
10
00
00
10
10
01
00
10
11
11
01
00
11
11
01
00
00
01
10
10
01
11
11
10
10
00
00
00
10
10
00
00
00
10
10
10
11
00
00
11
10
11
10
10
10
10
01
01
00
00
00
00
11
00
01
01
00
10
01
11
10
10
10
10
00
00
00
10
00
00
00
00
10
10
01
00
00
00
10
10
10
00
00
10
10
00
01
00
01
00
00
00
00
10
00
00
10
00
00
01
10
00
01
11
00
10
11
01
11
00
00
10
10
10
11
01
00
10
11
10
00
10
00
10
11
00
00
11
11
01
00
01
10
11
01
00
01
10
10
00
10
00
01
10
11
11
00
00
01
10
10
11
01
00
00
00
10
01
00
11
01
10
11
10
01
10
00
00
00
10
00
00
10
01
10
01
11
10
10
10
00
00
01
11
11
11
10
00
11
10
10
10
00
00
11
00
10
10
00
00
00
10
11
00
10
00
11
10
11
01
10
00
00
10
00
00
01
10
10
10
01
00
10
10
00
01
10
00
11
01
01
11
01
00
11
11
00
00
10
11
00
00
10
11
00
10
10
11
00
11
10
11
11
00
00
10
10
00
11
10
00
10
00
11
00
01
00
00
10
10
01
00
10
10
10
10
10
10
00
11
10
10
00
00
00
11
00
10
00
11
01
01
01
11
00
00
10
00
10
10
11
00
10
10
00
11
00
11
11
01
00
10
01
00
10
11
10
00
10
01
10
00
10
01
00
10
11
01
00
10
10
10
10
10
01
11
10
01
01
00
10
11
10
00
10
01
00
00
11
10
10
00
11
10
11
01
01
11
10
00
01
10
11
00
01
10
00
10
00
11
10
01
01
10
10
00
10
01
10
00
01
10
11
10
00
10
10
00
11
10
00
10
10
10
11
11
01
10
10
00
11
00
00
10
10
01
11
01
01
01
01
10
10
10
00
00
11
10
01
11
10
00
10
00
11
00
00
11
10
11
10
01
00
10
00
10
10
10
11
00
11
01
01
00
01
00
10
10
11
11
10
01
00
00
10
10
00
00
10
01
00
11
00
11
10
00
10
10
00
00
10
01
10
00
10
00
00
10
00
00
00
01
10
10
10
00
10
10
00
10
10
00
01
10
11
11
10
00
10
01
10
00
10
10
00
01
10
11
00
00
11
00
00
11
00
00
10
01
10
00
00
11
11
11
01
00
00
11
10
00
00
10
00
11
01
01
00
00
00
11
10
00
01
00
11
10
00
11
00
10
01
10
10
01
00
10
11
00
00
10
00
01
00
10
10
11
00
01
01
01
10
10
11
00
00
11
11
00
01
10
00
00
11
11
00
10
11
00
10
10
00
10
00
00
10
01
10
01
11
01
11
00
11
10
11
01
00
00
11
10
00
10
11
10
00
00
11
01
10
01
00
10
00
10
10
00
01
00
01
00
11
10
10
10
11
11
00
10
10
01
10
00
10
10
00
10
00
00
11
01
00
00
11
01
00
01
00
11
10
00
00
10
11
10
10
00
00
00
00
10
10
10
00
01
00
00
00
10
00
10
00
01
11
01
01
10
10
01
11
11
11
01
10
10
00
00
00
10
10
00
00
10
00
00
01
00
01
10
01
10
10
00
11
00
10
01
00
00
00
10
11
00
01
10
10
00
10
10
10
00
11
01
01
00
01
10
10
10
00
10
01
01
10
11
11
10
11
10
10
00
10
10
00
10
10
00
00
11
10
11
00
00
00
10
00
01
00
11
00
11
10
10
10
01
01
00
10
10
01
00
00
01
00
10
00
11
10
10
00
10
11
00
11
01
01
10
10
00
10
10
00
00
01
00
00
11
10
01
10
10
00
01
00
10
00
10
01
01
10
00
11
00
11
00
00
11
11
10
00
00
00
10
01
00
01
10
01
00
01
10
11
10
00
01
11
10
00
00
01
00
01
10
01
01
11
00
10
11
00
01
10
01
01
10
10
10
10
10
10
10
01
10
10
00
00
00
10
00
10
10
11
01
10
10
10
01
00
10
00
00
10
10
11
01
10
11
01
01
01
00
10
00
10
11
10
00
01
11
10
00
10
00
10
10
10
10
10
11
10
10
00
01
00
11
10
11
01
01
10
00
00
10
10
01
01
11
10
11
00
10
10
00
00
11
10
00
00
11
01
10
00
10
01
00
01
01
11
11
00
10
10
00
01
10
11
10
10
00
00
10
10
00
00
00
10
00
11
11
00
01
10
10
11
10
00
00
10
10
01
01
10
01
00
01
00
00
00
10
01
00
00
00
10
10
10
01
10
00
11
11
11
10
00
10
00
10
10
10
00
01
11
11
00
00
11
00
10
00
10
10
11
01
00
01
10
10
10
10
01
11
00
10
01
00
11
01
00
00
01
10
11
00
01
10
01
00
10
00
00
11
10
00
00
10
01
00
11
00
10
00
00
10
10
10
00
10
01
10
10
10
00
10
11
00
00
00
10
00
00
10
11
11
10
00
00
10
00
11
10
01
00
10
01
11
01
10
10
01
10
00
01
10
11
00
01
10
10
01
00
01
10
10
00
00
10
11
01
01
01
00
00
00
01
11
10
00
00
01
01
01
10
00
00
00
10
11
10
00
00
10
00
10
10
00
00
10
11
10
01
00
10
10
10
01
00
10
10
00
10
11
00
11
10
10
00
11
00
00
11
10
10
10
11
00
11
00
10
01
01
11
10
00
00
00
00
11
01
01
10
10
00
10
01
01
10
00
00
10
11
10
00
11
10
00
00
10
11
00
10
10
00
00
11
00
00
00
00
10
11
11
10
10
00
10
10
10
00
01
10
10
11
11
11
00
00
00
00
00
00
10
10
00
10
01
00
01
11
10
11
10
10
11
10
00
01
01
11
10
00
00
11
01
00
11
11
01
01
00
10
00
00
11
10
00
01
01
11
11
01
00
00
10
10
00
10
00
00
11
10
10
10
00
10
10
11
01
10
10
11
10
01
00
10
10
11
01
00
11
11
10
11
01
01
10
11
01
11
11
10
01
01
00
10
11
01
00
00
10
00
00
00
10
11
10
11
00
10
11
00
10
01
00
10
00
11
10
00
00
11
00
00
00
11
01
11
11
00
00
01
11
01
01
10
10
00
01
11
00
01
10
00
01
10
00
10
10
01
01
11
10
01
00
10
01
00
10
00
00
10
00
10
10
00
00
10
01
10
10
01
10
11
10
10
01
00
00
11
00
00
10
10
10
00
01
00
10
00
00
10
01
10
10
11
00
11
01
10
00
00
10
10
11
00
01
11
00
11
11
01
00
01
10
11
01
00
00
00
10
10
00
00
00
00
10
11
01
10
11
10
01
00
11
11
10
10
01
00
00
00
00
10
10
00
10
10
01
00
10
11
00
01
10
00
01
00
10
00
10
10
11
00
01
00
00
11
00
00
10
10
00
01
10
10
10
11
01
01
11
11
00
10
01
11
01
11
11
00
00
10
01
01
00
11
10
10
01
01
10
11
01
00
00
10
01
00
01
10
11
01
10
10
10
01
10
11
01
00
00
00
00
11
00
01
00
10
10
00
01
00
11
10
11
00
00
11
10
11
00
11
11
10
01
00
10
10
10
10
00
10
10
10
11
10
01
01
00
10
10
00
00
10
10
10
01
00
01
00
11
01
11
10
00
00
10
10
00
00
11
01
11
00
00
00
10
00
11
00
00
11
11
00
00
11
00
10
10
01
10
10
00
00
10
00
10
10
00
00
10
00
00
01
10
10
01
00
10
01
11
00
00
00
10
00
00
10
10
00
00
10
11
00
10
10
00
00
01
01
11
01
00
11
00
01
00
11
10
00
11
01
10
10
00
00
11
11
11
11
00
10
10
01
10
11
01
01
10
10
11
10
00
10
00
00
00
10
10
11
11
10
11
00
00
11
01
00
11
11
00
00
00
00
00
10
10
11
10
10
10
01
00
00
00
11
10
10
00
01
10
01
01
11
10
01
00
00
11
10
00
00
10
10
01
01
11
10
00
01
01
11
10
00
00
10
01
00
11
10
00
00
00
00
00
10
11
10
11
11
11
00
00
00
10
10
11
01
00
10
10
00
00
01
00
10
10
00
11
01
01
10
11
10
10
10
00
00
11
11
01
01
00
00
00
10
10
10
01
01
10
11
00
01
00
10
01
11
10
11
10
00
10
11
01
01
00
10
11
01
00
11
10
01
10
10
00
00
10
10
11
00
00
00
01
10
10
01
01
00
00
11
01
00
01
10
10
11
11
11
00
10
10
01
10
10
01
10
00
11
10
01
00
01
10
10
00
10
00
10
11
00
01
10
10
10
00
11
00
00
10
10
10
11
10
10
01
11
11
10
10
00
01
10
10
00
01
10
11
01
11
11
10
10
10
00
01
11
10
00
01
00
11
11
01
00
10
11
01
10
01
01
10
11
11
01
11
00
11
11
11
10
01
00
00
00
10
10
11
00
10
01
01
10
10
11
00
00
00
11
10
00
10
10
00
01
00
00
10
10
10
00
11
10
01
00
00
11
00
10
11
01
00
10
11
00
00
00
10
01
00
11
10
10
00
10
00
00
10
10
10
10
11
00
01
10
10
00
00
10
00
01
10
10
10
10
10
00
01
00
00
10
10
00
10
00
10
10
10
00
10
10
01
01
11
00
00
00
10
00
00
11
01
00
11
10
10
00
00
11
00
00
10
00
00
10
01
01
01
11
00
10
11
00
10
10
00
00
00
10
10
10
00
10
10
00
01
00
01
11
10
00
10
00
00
01
10
11
10
00
10
00
00
10
10
00
01
00
10
00
10
10
11
01
00
01
10
10
10
00
00
10
10
00
01
01
00
11
00
11
00
01
10
10
10
01
00
00
01
10
11
01
01
00
10
01
10
00
00
11
10
00
00
01
11
00
10
00
00
11
00
10
10
00
00
10
10
00
10
01
10
10
10
11
00
00
00
00
00
00
00
10
10
10
00
10
00
00
11
10
01
10
00
10
10
00
10
11
00
10
10
10
00
11
10
00
00
00
10
00
11
01
01
00
10
10
00
00
01
11
11
00
11
10
10
11
01
10
10
00
01
11
11
00
00
10
10
00
00
00
10
10
10
10
11
01
01
00
00
01
11
11
00
10
00
00
01
10
11
00
00
00
11
11
01
10
11
01
00
01
00
11
01
00
01
10
00
10
10
00
00
00
11
00
10
00
10
01
00
01
01
11
10
10
10
00
00
10
11
00
00
11
11
00
01
01
00
10
10
10
00
10
01
00
00
11
10
10
10
10
01
11
01
01
10
11
01
00
01
00
10
10
01
10
00
00
10
11
00
00
10
00
01
10
10
11
00
00
00
00
10
00
11
11
10
10
00
00
00
10
11
00
00
10
00
01
10
11
00
00
10
11
10
00
10
00
11
00
00
10
10
00
11
10
01
10
11
10
10
00
01
10
10
10
11
10
00
00
00
11
01
10
11
00
01
10
11
00
01
10
11
00
11
00
10
11
01
00
00
00
10
01
00
11
10
10
10
11
01
10
10
00
01
00
00
10
00
00
00
00
11
00
01
00
11
01
01
10
01
10
11
10
00
00
10
11
11
01
00
01
00
10
11
11
10
01
00
11
11
00
01
01
11
10
10
00
10
10
01
00
11
10
10
10
01
11
11
00
00
10
11
11
00
01
10
10
10
00
00
10
10
11
10
10
00
01
10
11
00
00
00
11
11
01
10
11
10
00
10
01
00
01
10
10
01
10
00
00
00
00
10
00
10
01
11
10
11
00
11
00
00
00
11
01
01
00
10
00
01
01
00
10
10
11
00
10
00
10
10
01
11
00
10
11
10
00
10
11
00
00
10
11
00
11
10
01
00
00
00
10
01
11
00
00
10
10
00
10
11
01
10
10
00
00
11
01
00
11
00
10
01
10
10
00
01
00
10
10
01
10
10
10
11
10
01
10
11
00
10
11
00
01
10
10
01
00
00
00
10
10
00
10
10
10
00
10
00
01
10
01
00
01
11
11
11
01
01
10
00
00
01
10
11
00
01
11
10
10
11
00
00
10
11
01
10
11
00
10
10
01
10
00
10
10
00
00
10
00
11
11
10
00
10
00
11
00
00
10
11
00
00
00
00
10
11
01
10
01
00
00
11
00
00
00
10
10
00
10
11
01
10
10
00
10
10
00
11
10
11
10
00
10
10
10
01
01
10
01
10
11
10
01
10
11
00
00
10
11
01
00
10
10
10
10
00
00
11
00
10
10
00
11
11
10
10
01
01
11
10
00
10
00
00
01
10
00
10
11
11
10
10
00
10
00
10
11
01
01
01
01
10
00
10
01
00
10
11
00
00
10
10
11
00
01
11
10
00
10
10
01
00
00
00
10
11
01
10
11
01
01
10
00
11
00
00
10
10
10
00
10
11
11
11
10
10
10
01
01
10
11
00
01
10
10
00
00
11
11
01
00
01
10
00
11
00
11
10
11
00
00
10
10
10
11
11
01
10
01
10
10
11
00
00
00
00
00
10
11
00
10
00
00
11
00
10
11
10
10
00
10
10
10
01
01
11
01
01
01
01
10
00
01
10
10
00
00
11
11
01
10
01
01
00
01
00
10
10
00
00
10
11
01
01
00
10
10
11
00
10
10
01
10
10
10
11
10
10
10
11
00
11
10
00
10
01
01
01
10
11
00
00
00
11
00
00
11
11
10
10
00
00
10
00
00
10
10
00
00
10
10
11
00
10
00
00
01
00
11
10
10
10
00
10
10
00
00
10
11
10
00
00
10
11
10
10
10
00
00
00
11
10
00
10
00
10
01
01
10
10
01
00
10
10
10
00
00
01
10
10
10
00
01
00
10
10
00
00
10
00
00
00
10
11
01
11
10
10
00
00
00
10
11
10
01
01
10
11
01
10
00
01
10
10
01
01
10
00
00
10
10
00
00
00
01
01
00
01
10
11
11
10
01
00
00
10
00
00
10
00
00
01
10
11
11
10
00
11
01
10
11
10
11
10
01
00
11
10
00
00
10
00
00
00
00
01
01
00
11
10
11
00
00
00
11
11
00
11
10
10
00
11
00
00
10
11
01
10
11
01
10
00
01
10
11
10
01
10
01
01
10
01
01
00
11
00
01
10
01
00
01
11
11
11
01
00
10
10
11
00
00
11
01
10
10
01
00
00
11
11
10
00
01
00
00
10
00
00
10
11
10
10
10
00
10
10
00
01
00
00
10
11
10
00
01
10
00
00
11
10
01
10
10
11
11
10
00
01
11
11
11
00
00
11
10
10
00
00
01
11
10
11
10
00
00
10
00
01
11
11
00
10
00
11
01
00
11
10
00
10
01
10
11
01
00
00
01
00
10
01
10
11
00
00
10
01
01
00
01
10
11
00
01
10
01
00
00
01
10
00
01
10
10
10
10
01
11
00
00
00
01
00
00
11
10
10
01
11
00
01
10
11
00
00
10
10
01
00
11
01
00
00
10
00
10
10
10
01
00
11
00
10
00
00
10
10
00
01
10
10
10
01
00
01
10
00
00
11
10
00
01
00
11
01
01
10
10
00
01
10
00
01
10
00
00
10
10
10
10
10
00
10
10
11
01
00
00
10
00
10
10
00
10
10
00
00
10
10
00
00
10
00
11
11
10
11
10
11
00
00
00
00
11
10
10
10
00
00
10
01
10
10
10
11
01
10
11
00
10
00
10
00
11
00
00
10
11
11
00
00
10
11
00
10
10
10
00
00
00
01
11
11
01
11
00
10
00
00
10
11
00
00
00
10
01
11
00
10
10
00
01
10
11
00
10
00
10
01
00
01
11
01
10
10
10
01
00
11
10
01
00
00
00
00
10
10
11
00
11
10
00
01
01
01
11
01
00
11
00
10
10
00
00
00
11
11
10
11
00
11
10
00
00
10
01
11
10
00
11
10
01
10
01
01
10
10
10
10
01
01
00
11
00
00
11
10
01
00
11
10
00
10
00
00
10
10
11
01
10
01
00
11
00
11
01
10
11
11
11
00
10
00
10
01
00
11
10
10
00
10
00
00
00
11
10
00
00
10
00
01
11
00
10
00
10
00
00
11
00
00
11
10
00
00
00
10
11
10
00
00
10
00
11
10
10
00
11
11
00
01
10
00
10
10
00
00
10
11
10
00
00
01
11
00
10
10
10
10
00
01
11
10
10
10
00
10
10
00
11
11
01
01
00
10
01
10
00
10
10
01
00
00
11
01
01
00
10
00
00
10
11
10
01
00
01
11
10
01
00
10
10
00
00
00
10
11
11
00
10
01
11
10
00
01
10
00
10
01
00
10
11
10
11
00
10
11
10
00
00
00
11
01
00
10
00
00
00
10
11
10
01
00
00
00
00
10
11
00
00
10
10
11
00
00
10
00
10
00
01
00
00
00
10
11
11
10
01
10
10
10
10
10
10
01
00
01
10
00
10
10
10
10
00
00
10
10
10
00
11
00
10
10
00
01
00
11
01
00
10
00
00
11
01
01
10
01
00
10
11
00
11
00
00
10
10
01
00
10
10
00
01
11
01
01
00
00
00
10
10
10
00
01
01
01
11
01
00
11
10
10
11
00
00
00
10
11
10
00
00
00
11
01
10
10
10
00
00
00
11
00
00
10
00
11
00
11
10
01
01
10
00
10
10
00
01
10
00
00
00
00
11
11
11
00
00
10
00
10
00
01
10
10
10
00
11
11
11
00
01
11
01
01
11
11
00
01
10
01
01
00
10
10
01
00
00
00
11
10
10
11
00
01
11
10
00
10
10
00
00
10
11
10
01
11
11
01
01
11
11
01
10
01
01
11
11
00
00
10
00
10
00
00
11
01
01
00
00
00
00
10
10
10
00
00
10
10
10
00
11
11
10
10
00
00
10
11
00
10
10
11
00
01
01
10
11
00
10
00
00
00
00
11
10
11
00
11
10
00
00
11
00
00
00
10
10
00
10
00
00
10
00
11
00
00
10
00
00
01
10
10
10
10
01
00
01
10
01
00
01
11
11
00
00
10
10
11
00
10
10
01
00
10
00
00
10
10
00
10
11
10
00
01
00
00
00
01
10
00
01
00
11
10
10
10
01
00
11
10
01
10
00
01
00
10
10
10
10
01
00
11
10
10
10
00
00
00
10
00
10
10
01
10
10
01
11
10
11
00
00
10
00
00
10
11
01
10
10
10
00
11
11
01
11
10
00
10
10
00
10
10
01
10
11
00
11
10
11
11
01
01
01
00
10
01
01
11
11
01
10
10
10
00
00
10
10
01
00
11
10
10
00
00
00
10
11
01
00
10
00
10
01
01
10
11
10
00
01
10
11
00
00
10
00
00
11
01
00
10
01
10
10
10
00
00
10
11
10
01
00
11
11
10
00
01
01
10
00
10
10
00
01
01
00
10
00
01
00
01
10
10
00
01
00
10
11
00
10
01
10
10
10
11
01
10
10
10
10
10
01
10
11
00
00
00
11
00
00
01
10
01
00
10
11
11
00
01
10
00
11
01
00
11
00
01
00
10
11
10
01
00
10
01
01
10
00
01
10
00
00
10
01
00
11
00
00
01
10
00
01
10
10
11
00
00
10
00
00
00
10
11
00
11
00
11
10
00
00
01
10
10
11
11
00
10
10
01
01
10
10
10
00
11
00
00
00
10
00
10
10
00
01
10
10
10
01
01
10
11
10
11
01
01
10
11
00
11
00
00
10
11
00
11
00
00
10
10
01
00
00
11
01
10
11
10
01
10
00
00
10
01
00
10
10
10
10
01
00
11
00
01
10
10
01
10
00
00
00
00
00
00
10
10
00
10
11
00
00
10
10
00
00
11
10
00
00
10
01
10
00
10
01
11
01
01
01
10
10
01
10
00
01
10
00
11
10
01
00
10
00
01
00
01
00
01
00
01
10
10
10
00
00
00
00
11
10
00
10
11
00
01
01
11
10
10
11
10
00
00
01
10
00
00
00
10
11
00
11
00
01
00
01
00
00
00
10
00
00
00
11
00
01
00
10
11
00
11
00
10
10
10
10
11
11
00
10
10
11
10
01
01
11
10
10
00
00
00
00
01
11
11
00
10
11
01
00
11
10
10
01
01
11
00
01
10
01
00
11
01
00
10
11
10
10
11
00
10
10
01
11
11
11
00
00
11
00
10
10
00
01
10
10
10
01
00
00
00
10
11
10
11
00
01
00
10
10
11
10
00
10
10
01
01
10
10
00
11
00
10
11
10
01
01
11
01
10
11
10
10
00
00
10
10
10
01
00
10
10
01
01
10
11
11
01
00
10
01
11
01
00
01
11
10
00
11
00
00
00
10
10
10
11
01
10
10
10
10
10
01
01
11
10
10
10
01
10
01
00
11
11
00
01
10
01
10
10
01
00
00
10
01
00
00
00
10
00
01
00
11
00
01
01
01
10
10
10
00
01
11
10
01
11
11
00
00
01
10
10
01
11
10
10
01
00
10
00
00
11
00
00
10
00
11
10
11
00
00
00
00
10
10
01
00
11
10
11
10
00
10
00
10
10
10
00
10
10
11
10
00
10
11
10
01
00
00
10
11
10
00
11
11
10
10
00
00
10
00
00
11
00
10
10
10
10
00
10
10
10
00
01
11
10
11
10
10
00
00
00
10
00
01
10
10
10
00
00
00
10
00
01
11
00
01
00
01
11
01
00
00
00
10
11
00
11
11
01
10
10
10
00
01
11
00
00
00
00
00
10
10
10
00
00
11
00
10
10
00
00
11
10
00
00
10
10
00
11
10
01
00
00
10
10
01
01
10
10
10
00
00
10
00
00
01
00
00
10
11
01
11
01
01
01
01
01
01
01
11
11
00
10
00
00
11
10
11
01
00
11
00
00
10
00
01
10
10
01
10
10
00
00
10
00
00
01
10
11
00
00
11
01
11
11
01
01
00
10
10
00
00
11
11
01
00
10
10
01
01
00
01
11
10
10
00
11
11
00
01
10
10
00
10
10
00
00
10
00
00
00
00
00
10
10
10
10
01
01
10
10
00
10
11
01
00
10
00
10
00
10
01
10
10
10
10
01
00
11
10
00
00
10
11
00
10
10
00
00
10
00
01
01
11
00
00
01
01
01
10
11
00
01
10
10
01
10
11
01
01
10
00
00
11
11
01
10
00
00
00
00
10
10
00
00
11
01
01
10
11
11
00
10
10
11
10
10
00
00
11
10
10
00
00
11
10
00
11
11
00
10
11
10
00
00
00
11
11
00
00
11
11
01
01
00
11
10
10
00
00
10
11
00
11
10
10
00
01
11
00
01
10
10
00
00
11
00
10
00
11
10
00
10
00
01
00
01
11
00
01
11
11
00
10
10
10
11
00
00
10
10
01
10
01
11
00
01
10
11
10
10
00
00
11
10
10
00
10
00
00
01
00
11
00
11
01
00
11
11
01
10
10
01
10
01
10
10
00
01
10
10
11
10
01
01
11
10
00
10
11
00
10
00
00
00
10
10
01
11
10
00
10
10
11
00
00
00
10
00
01
10
11
00
00
00
10
00
00
10
10
00
01
11
10
10
11
01
10
01
11
00
11
10
00
11
00
00
00
00
11
10
10
10
10
00
10
00
10
11
10
00
01
10
00
10
00
10
11
10
11
01
00
11
00
11
00
11
10
00
01
11
01
01
11
10
10
00
00
01
10
01
10
10
00
10
10
10
10
00
11
01
00
10
00
00
01
11
00
10
11
01
00
00
10
10
10
11
10
01
00
11
10
00
00
11
10
10
00
00
11
10
01
01
10
11
00
00
11
10
11
01
00
11
01
11
00
00
10
00
01
10
10
00
10
11
10
10
11
00
00
00
00
10
01
01
00
00
00
00
01
00
01
10
00
10
11
00
00
10
10
11
00
11
10
01
01
01
11
00
01
00
00
01
11
11
00
01
11
10
11
00
01
10
00
10
11
01
01
11
01
11
00
10
10
00
11
10
11
00
11
00
10
00
10
11
10
11
01
11
10
10
00
00
10
11
01
01
00
10
10
11
01
10
00
01
10
00
00
10
10
00
00
10
11
00
00
10
00
11
10
11
00
10
00
00
11
00
00
10
10
00
10
11
00
10
01
00
00
00
10
11
10
00
10
01
00
11
10
11
00
10
00
10
10
00
11
10
00
00
00
11
11
01
00
00
00
00
10
00
10
00
00
10
10
10
01
00
00
11
01
00
00
10
11
00
10
11
00
00
11
11
00
00
10
00
00
10
11
00
11
11
10
11
11
00
00
11
10
10
00
00
01
01
00
10
00
00
01
10
11
10
10
00
01
00
01
00
10
00
01
10
10
10
00
01
00
10
10
00
00
11
11
00
00
10
11
00
00
11
11
11
00
00
11
01
00
00
10
11
11
00
01
00
11
01
00
11
11
11
11
11
01
00
10
00
10
10
00
00
10
01
10
10
01
00
10
11
00
01
10
10
01
10
11
00
00
10
00
10
10
00
01
10
11
11
00
01
10
11
00
10
10
10
00
10
00
00
00
00
00
00
00
10
00
00
01
00
10
00
10
00
10
01
00
00
00
01
10
00
00
00
11
00
10
10
10
11
10
00
00
10
01
00
10
01
01
10
11
10
10
10
10
11
00
11
10
01
00
10
11
00
11
10
10
00
11
00
00
11
10
00
11
11
01
11
10
01
01
11
10
01
00
11
00
11
10
01
01
00
11
10
00
00
11
01
00
11
11
11
00
00
01
11
10
10
00
00
01
01
01
11
00
00
00
00
01
01
10
11
10
00
10
11
01
10
10
00
00
00
00
00
10
01
10
00
10
11
11
10
01
00
00
00
10
10
10
01
00
00
10
10
00
00
11
10
01
10
11
00
10
01
00
00
10
10
00
10
11
00
00
10
00
10
10
10
00
10
11
00
11
10
10
11
00
10
11
00
01
10
01
11
00
11
00
11
10
10
10
00
10
10
11
00
10
00
00
11
10
11
00
11
00
10
11
10
00
00
10
01
10
10
10
01
00
10
00
00
01
10
10
01
10
01
10
10
00
00
10
11
00
00
00
11
10
10
11
01
10
10
11
11
10
00
11
10
10
10
01
11
10
01
10
01
00
00
00
00
00
10
00
10
10
00
10
10
10
00
10
10
10
10
00
01
11
00
11
10
10
00
00
10
00
00
10
00
00
01
00
11
11
11
00
00
00
00
01
10
10
00
10
10
00
10
10
00
00
10
10
01
00
10
00
10
10
00
01
00
11
11
10
00
10
10
01
10
10
01
11
01
00
00
11
10
01
00
11
00
01
10
00
00
11
00
01
11
00
10
01
01
10
10
01
00
11
10
00
10
10
10
11
11
10
11
00
10
10
00
10
10
10
01
00
10
01
00
01
00
10
11
10
11
00
00
10
11
10
10
00
00
11
11
01
11
00
00
10
01
10
01
11
11
00
01
11
11
00
00
10
11
00
00
10
11
00
11
10
01
00
00
01
11
10
00
00
10
10
00
00
10
00
00
11
10
00
11
11
00
10
00
10
01
10
10
10
11
00
10
00
01
11
10
10
10
01
01
00
10
10
00
01
11
10
00
01
11
00
00
10
10
01
01
00
00
01
11
01
01
10
10
00
01
10
11
01
00
00
00
10
10
10
01
00
00
10
10
11
10
10
01
00
10
10
01
00
00
10
11
10
00
11
10
10
10
01
00
00
00
10
01
00
10
10
01
01
00
00
00
11
01
11
01
00
10
11
01
01
00
00
10
10
10
10
10
10
00
10
00
00
10
01
10
11
10
10
00
01
10
11
00
10
11
10
10
10
01
01
10
11
10
01
00
10
10
01
11
01
11
11
00
10
10
00
00
10
11
10
10
10
01
10
00
01
00
01
11
00
11
10
00
10
11
01
01
11
10
00
10
10
00
00
10
01
10
10
00
10
10
10
10
11
10
00
00
10
00
01
01
10
10
00
11
10
11
01
10
00
01
01
00
00
10
10
00
11
01
10
00
00
10
10
11
10
00
10
10
00
11
11
01
10
00
10
01
11
11
01
11
00
10
10
00
11
10
10
00
00
00
01
11
10
10
01
10
00
00
01
11
10
11
11
01
00
10
11
10
11
01
00
10
10
00
00
10
10
10
11
00
01
11
01
10
00
01
10
01
10
01
00
11
00
00
11
10
10
00
11
01
00
10
11
00
11
10
01
00
11
00
00
11
11
01
01
00
10
00
10
10
11
00
00
10
10
11
11
10
01
00
00
11
10
00
10
11
10
11
00
00
10
01
00
10
10
00
01
00
10
10
00
01
00
01
11
10
10
00
00
10
01
01
10
00
10
11
10
10
00
01
00
01
01
10
00
00
00
11
10
00
00
10
10
11
00
11
11
10
00
00
01
10
10
00
00
00
00
00
10
10
01
10
11
00
11
11
11
00
01
10
11
10
01
00
10
10
00
01
11
00
00
00
10
11
01
01
10
11
00
10
00
00
10
10
00
00
00
11
01
00
10
11
00
01
11
11
01
11
11
00
00
11
10
00
00
11
10
11
00
00
00
10
00
11
10
01
00
10
11
10
01
01
10
00
10
00
00
10
10
11
00
01
10
00
00
10
11
10
11
00
11
11
11
10
00
10
00
00
10
10
11
01
00
00
10
00
11
10
00
01
10
01
00
10
10
10
00
01
00
10
00
00
11
10
00
10
10
01
00
10
10
00
11
11
00
01
00
11
01
00
11
00
10
00
11
10
01
00
10
01
00
00
11
10
00
00
00
10
10
00
10
00
00
11
00
10
10
11
00
01
00
01
11
01
11
11
00
01
00
11
10
00
00
11
00
01
10
10
10
00
10
00
01
10
10
10
00
10
11
00
11
00
00
01
00
00
00
00
00
10
10
11
01
10
10
11
00
10
00
11
11
01
00
00
10
10
11
01
10
11
10
00
00
11
10
01
00
10
10
11
10
00
10
01
11
00
00
11
10
01
00
11
00
10
00
11
00
00
10
01
10
01
10
10
10
00
00
10
01
01
10
11
01
10
11
10
01
01
11
10
10
01
01
11
10
11
00
11
10
00
00
00
11
01
01
10
10
11
00
00
11
11
00
11
00
01
10
00
10
00
00
10
10
01
01
00
01
00
01
11
10
01
10
11
00
01
10
10
11
10
11
01
00
11
11
01
00
00
10
10
00
00
10
11
00
10
10
00
11
01
00
11
00
01
01
10
10
10
10
00
01
11
00
10
10
00
10
11
00
01
01
00
10
10
00
00
01
10
10
01
10
00
00
01
01
10
10
10
11
10
01
01
00
10
01
10
00
10
11
00
00
10
10
00
11
00
10
10
00
00
10
10
00
01
01
10
01
10
00
11
11
00
00
11
10
10
00
00
10
01
00
10
00
11
00
11
00
00
00
00
00
00
01
11
10
00
00
01
10
11
10
10
11
00
01
00
01
11
10
00
10
00
10
00
00
10
10
00
00
11
00
10
00
10
01
01
10
10
00
01
10
11
00
00
11
10
10
01
01
10
10
00
00
10
00
10
11
01
11
00
10
11
10
00
00
01
01
10
01
00
10
00
11
10
11
11
00
01
10
11
00
10
00
00
00
10
10
00
00
11
11
10
01
01
01
00
10
00
00
11
00
00
11
10
00
01
10
00
00
00
01
11
10
11
00
10
00
10
00
00
00
10
00
11
10
01
00
01
10
11
10
11
11
00
00
01
10
11
11
01
01
00
00
01
01
11
10
10
00
00
00
10
11
01
01
00
01
01
01
10
10
01
01
10
10
10
00
00
11
10
00
11
01
00
00
10
00
00
10
00
10
10
11
10
00
00
01
10
00
00
01
11
00
00
11
01
11
00
00
10
10
11
00
10
10
00
00
00
10
10
10
01
11
01
00
11
10
11
10
11
10
01
10
10
00
00
01
10
00
10
10
10
10
10
01
00
10
00
10
10
00
01
10
10
01
11
00
10
00
01
00
01
10
10
01
01
11
10
01
00
00
11
00
00
11
10
00
10
11
01
10
10
00
00
10
00
10
10
10
01
00
00
11
00
10
10
01
00
01
01
10
01
00
00
00
00
11
00
11
01
00
11
11
00
00
00
01
10
01
01
00
10
10
10
11
10
00
00
10
10
10
10
01
11
01
00
01
10
00
11
10
01
10
01
01
10
01
11
10
00
10
10
00
10
10
00
11
01
10
11
00
10
10
10
10
10
00
00
00
00
10
10
00
10
10
10
00
00
10
11
10
10
01
00
11
10
00
10
00
00
10
11
00
01
11
01
10
00
01
00
00
10
10
00
10
11
11
10
11
10
00
10
01
11
10
10
00
00
01
00
00
00
10
11
10
01
00
11
00
00
10
00
10
11
10
10
01
00
10
10
01
01
00
10
00
00
10
00
01
00
00
11
00
10
01
10
01
11
00
10
00
01
11
01
01
11
00
11
10
00
10
00
01
10
01
01
00
10
11
00
10
10
01
10
01
00
11
00
00
10
11
10
01
10
10
11
00
10
01
01
01
10
01
01
10
11
00
01
11
00
10
01
00
10
11
00
10
00
00
01
00
10
01
10
00
10
00
11
10
11
11
11
11
00
00
00
10
11
01
00
01
10
10
00
11
10
01
00
10
10
11
10
10
10
00
10
10
00
00
00
10
10
10
10
00
10
10
00
00
10
00
01
00
01
11
00
01
11
10
01
00
10
01
10
01
00
10
11
11
00
11
00
01
11
10
10
00
10
00
00
01
00
10
11
00
00
11
10
00
10
11
10
00
10
00
00
11
00
11
11
01
11
01
00
10
11
00
01
10
11
01
10
10
00
10
10
00
01
00
10
00
11
00
01
10
11
01
01
01
00
10
10
00
01
00
00
11
00
10
10
10
00
00
01
01
01
00
10
00
11
00
11
10
10
00
11
10
11
10
00
00
00
10
00
00
11
10
00
00
01
01
10
01
00
00
10
00
00
10
10
01
10
11
11
00
00
00
00
10
00
00
01
00
00
10
00
01
01
10
01
01
00
00
10
00
10
11
01
11
10
00
00
00
10
10
00
00
10
01
10
11
10
01
00
11
10
10
01
11
10
01
00
10
11
11
01
00
01
10
10
10
10
11
01
10
11
01
00
00
00
00
10
10
00
10
01
00
10
01
00
01
00
01
10
00
00
10
11
00
01
10
10
01
10
01
00
00
11
10
00
00
00
10
00
01
11
01
00
00
10
01
00
10
11
01
10
10
00
11
10
10
10
00
01
10
11
00
01
10
11
11
01
00
00
01
10
10
00
11
10
00
10
10
10
01
00
00
11
11
10
00
10
00
10
00
00
11
10
00
00
10
01
11
10
01
10
00
11
01
01
11
01
00
01
01
11
10
10
10
01
00
01
00
00
10
10
10
00
00
00
11
10
01
10
01
00
00
10
10
11
00
10
10
00
10
11
10
00
10
10
10
00
10
00
01
10
10
10
00
10
00
01
00
00
01
01
01
00
00
10
10
10
00
00
11
10
00
10
11
11
01
00
01
01
10
00
01
11
00
01
11
00
01
00
10
11
01
11
11
01
00
10
00
10
00
00
11
11
00
11
00
11
10
00
10
00
11
11
00
00
00
00
01
01
10
11
10
10
00
11
11
01
10
00
00
00
10
01
10
10
10
00
00
00
11
10
01
00
10
10
10
00
10
10
00
00
11
01
10
00
10
10
11
00
00
00
10
00
10
01
00
01
01
00
11
11
00
10
11
00
00
10
10
10
00
11
01
11
00
00
10
01
00
10
10
00
10
01
00
00
11
00
01
11
00
01
11
11
11
00
00
10
00
00
10
11
10
01
11
11
00
10
01
00
00
10
01
10
11
01
00
10
11
01
00
00
00
10
10
10
10
11
00
00
10
00
00
00
11
00
01
10
11
00
01
10
10
11
01
10
00
01
10
10
00
10
00
00
11
00
01
11
00
01
01
00
10
11
00
11
00
01
10
10
00
01
10
01
10
10
10
10
00
00
00
10
00
00
01
10
10
00
00
00
10
10
10
00
00
00
11
00
00
10
00
01
00
00
11
11
00
11
10
00
11
00
00
01
10
10
10
01
00
11
00
01
10
10
01
10
11
00
10
10
11
11
01
00
11
00
11
10
00
10
11
00
10
00
00
00
11
11
01
10
01
00
01
01
01
11
10
00
00
00
11
10
10
01
00
10
10
10
00
01
00
00
10
10
10
00
10
10
00
00
10
00
01
10
11
00
00
10
01
11
00
11
10
10
11
01
01
00
10
10
10
10
10
11
00
00
01
01
10
10
00
00
10
10
01
00
10
00
01
10
10
11
00
00
00
11
11
10
01
00
00
10
10
10
10
10
10
10
10
00
10
01
10
01
00
00
11
10
00
10
01
00
11
10
00
01
01
11
00
10
10
00
01
10
11
00
00
11
11
10
00
11
10
00
10
01
00
00
00
01
10
11
11
10
10
10
00
11
10
00
00
11
01
10
01
00
00
10
01
00
01
11
10
11
11
01
01
01
10
10
11
00
10
10
00
00
11
11
10
01
10
11
11
11
00
10
01
01
10
00
10
10
00
01
11
11
00
10
00
01
01
11
00
01
00
10
10
00
00
10
10
00
10
10
00
11
10
10
01
10
10
00
10
00
10
00
01
00
11
11
11
00
00
01
10
11
00
00
10
10
00
11
10
10
10
00
01
10
11
00
01
00
01
10
10
10
11
11
01
10
11
10
00
11
11
10
00
00
10
11
10
00
00
00
11
00
10
10
10
01
00
10
10
10
10
00
01
10
00
00
00
00
10
00
10
10
11
00
01
11
01
00
10
00
00
10
10
10
00
01
00
00
11
10
01
00
01
00
01
10
00
01
11
10
00
10
10
00
10
00
01
01
10
10
01
00
00
01
10
10
10
01
10
11
10
00
01
00
10
10
00
00
01
11
01
10
01
01
10
01
00
11
11
10
00
10
11
00
00
00
00
01
01
00
01
10
11
10
01
10
11
00
00
10
00
10
10
01
01
01
00
11
00
00
11
10
00
10
10
00
00
10
01
00
00
00
10
11
00
11
10
01
01
00
11
00
10
10
11
01
00
10
10
10
01
00
00
10
10
00
10
01
11
10
10
00
11
11
11
10
00
11
10
00
00
00
00
01
10
10
10
01
11
01
10
11
00
11
10
10
00
01
01
11
01
00
00
00
11
10
01
00
10
10
11
01
10
11
00
11
11
11
10
01
10
11
01
01
11
00
00
10
10
00
10
10
00
00
01
10
11
10
10
10
11
00
11
00
11
10
10
00
10
10
00
10
10
10
00
00
11
10
01
11
00
01
10
01
10
00
00
10
10
00
01
10
00
00
11
00
00
01
00
10
11
10
11
10
00
10
00
10
10
10
01
01
11
10
00
11
01
11
11
00
10
00
00
10
01
10
11
00
10
00
10
00
00
01
10
00
10
10
00
01
01
00
11
10
01
10
10
00
11
10
10
00
01
10
10
10
01
00
11
01
01
01
01
00
00
00
00
10
10
11
10
00
10
00
00
01
00
11
10
00
11
10
00
10
10
10
10
00
10
01
01
11
01
00
11
01
01
00
00
10
11
00
01
10
11
10
11
00
11
00
00
00
10
10
00
00
10
11
01
10
11
00
00
10
01
11
11
11
00
11
01
01
11
10
00
00
01
00
10
11
10
00
00
01
00
10
00
11
10
00
00
10
00
11
10
00
11
00
01
10
01
10
00
10
11
00
00
00
10
10
11
01
01
10
10
00
01
10
10
11
00
10
00
01
00
00
10
11
00
00
10
10
11
00
00
10
11
01
10
01
00
00
10
01
10
10
10
01
10
10
10
10
10
01
10
00
10
10
10
01
00
01
01
00
00
10
00
10
01
00
11
11
11
00
10
10
10
00
11
10
01
00
00
10
10
10
01
11
10
00
00
01
01
01
00
11
10
10
00
10
00
00
10
10
00
10
01
11
00
11
00
01
10
01
00
10
11
00
10
10
11
01
10
10
10
10
11
11
00
01
01
00
11
10
10
11
01
00
00
00
10
00
00
00
10
10
00
00
01
11
00
10
00
01
10
01
01
01
11
11
11
00
11
00
11
10
00
00
01
10
10
00
00
10
00
10
00
10
10
00
00
11
11
01
01
10
00
11
01
00
11
11
11
11
01
00
01
10
00
01
00
11
10
01
00
01
00
10
00
01
00
11
10
00
11
11
01
00
10
10
11
00
11
11
00
00
11
11
00
01
01
01
11
10
11
10
01
01
10
00
00
00
11
10
10
00
10
00
10
10
10
00
01
00
01
10
01
10
00
10
10
11
10
00
00
10
10
01
00
10
10
00
00
01
10
10
00
00
01
10
00
10
01
00
01
00
11
00
01
10
11
10
01
10
11
00
01
11
10
01
01
01
10
10
00
01
10
11
01
00
10
00
01
10
10
10
10
10
00
10
10
11
00
00
10
10
01
10
11
01
00
10
00
10
10
00
00
11
00
00
00
11
10
00
10
10
00
10
10
10
00
00
00
10
00
01
10
10
11
01
00
10
00
10
11
10
01
10
10
10
10
01
10
10
10
01
00
00
00
10
01
01
11
10
01
10
10
10
00
00
10
10
01
01
11
01
10
00
01
01
10
10
10
00
01
00
00
10
10
10
00
01
11
10
10
00
00
00
00
11
10
00
00
01
11
00
01
11
01
10
10
01
00
01
10
10
01
00
10
01
11
10
10
00
00
00
00
10
00
00
10
00
10
10
10
00
01
10
10
11
10
01
00
10
00
00
10
11
11
00
10
00
00
11
11
10
01
11
00
11
00
11
01
10
11
10
00
10
00
01
00
01
01
11
11
00
00
00
10
11
10
01
10
10
00
10
10
10
10
00
01
10
00
01
01
00
01
01
11
11
01
11
00
10
10
00
10
11
01
11
10
10
00
10
00
01
01
10
10
00
10
10
00
00
10
00
01
01
00
10
10
10
10
00
10
01
10
00
11
00
00
00
01
10
10
00
10
10
10
01
01
01
01
11
00
10
01
11
00
00
11
10
10
01
01
01
11
10
10
10
10
00
00
10
10
01
10
10
10
01
00
10
00
01
10
11
11
01
11
00
10
11
10
10
00
01
10
10
10
00
00
00
10
00
00
10
11
10
00
00
11
10
00
00
11
11
10
00
01
11
10
10
01
11
10
00
11
01
01
10
10
10
00
01
00
01
10
11
00
10
00
00
11
10
00
00
10
10
10
11
00
11
00
01
10
00
01
11
11
10
11
00
11
11
00
00
10
00
00
01
00
11
00
10
00
00
11
00
11
10
11
10
10
00
01
10
10
10
00
00
11
10
00
10
10
11
00
10
10
11
10
10
10
11
10
11
00
00
10
10
11
10
01
00
00
10
10
10
10
00
00
00
10
00
00
11
00
10
01
00
01
11
00
11
11
10
11
01
00
10
11
10
01
00
10
00
11
10
00
10
10
11
00
10
10
10
10
11
00
01
00
01
00
10
11
00
01
10
00
01
11
10
00
00
10
10
10
00
01
10
01
10
10
00
11
00
10
10
00
00
01
10
01
10
11
10
10
10
11
10
00
11
11
00
10
00
10
10
01
01
10
01
00
11
10
00
00
11
11
00
10
01
01
10
11
10
00
10
00
10
11
10
10
00
01
01
10
00
10
10
01
10
10
00
00
00
00
10
10
10
11
01
11
10
01
00
00
11
01
01
10
00
11
00
01
10
10
00
01
10
00
01
10
11
00
11
00
00
00
10
10
00
10
11
10
01
10
10
10
00
10
10
10
00
11
10
00
01
11
00
01
10
00
10
11
10
10
01
00
00
10
11
00
10
00
01
00
01
11
10
00
00
00
10
01
00
00
00
10
10
00
00
10
00
00
00
10
00
00
11
00
10
11
11
10
00
00
00
00
00
11
00
11
11
01
01
00
11
00
10
01
10
10
11
11
01
00
11
10
11
00
01
10
10
10
00
00
01
00
00
01
10
00
10
11
00
00
00
00
10
10
10
10
00
00
01
00
00
01
10
10
11
10
00
01
01
10
10
00
10
11
10
00
00
00
10
10
10
00
11
11
10
01
01
10
10
10
01
11
01
00
10
01
10
11
00
01
11
11
00
10
00
00
10
01
10
10
10
10
10
10
10
00
00
01
00
10
00
11
01
01
01
01
01
00
01
10
10
01
00
10
01
01
10
10
00
10
11
10
00
00
11
00
01
11
10
00
10
00
10
00
00
10
00
00
10
10
11
00
10
10
00
11
10
10
00
01
11
00
10
10
10
01
00
10
00
00
11
10
00
00
10
00
10
11
10
01
00
00
11
00
10
10
11
01
11
10
00
11
00
11
10
11
00
10
10
10
11
00
00
10
00
00
00
10
10
11
01
00
00
10
10
00
10
00
00
01
10
10
11
01
10
10
00
10
00
10
10
10
01
01
01
11
00
00
10
00
00
00
00
10
11
10
01
00
10
00
10
11
10
11
00
10
10
11
00
10
10
00
00
11
11
00
11
10
00
00
00
10
00
01
10
01
10
01
11
00
00
11
01
01
00
11
10
10
00
10
11
00
00
10
10
00
11
10
11
10
00
00
10
01
00
01
10
10
10
11
00
11
10
10
10
00
01
01
10
11
00
00
10
10
11
00
00
11
11
00
01
10
10
00
10
11
10
11
01
11
00
00
01
10
01
00
00
10
10
10
11
10
01
01
00
10
10
00
11
10
00
00
00
10
10
11
00
01
01
11
11
10
00
11
10
00
11
10
00
01
01
10
01
10
10
01
00
11
00
10
11
01
00
01
00
10
10
11
00
11
01
00
11
10
01
00
10
10
11
01
00
11
10
00
01
10
10
01
00
10
00
00
01
01
00
01
10
11
00
10
11
11
01
01
01
10
11
01
00
10
11
01
01
10
00
00
00
10
01
10
10
00
11
10
01
10
00
00
01
10
11
01
01
10
10
01
00
00
11
00
10
10
01
01
00
00
01
10
01
00
10
10
10
00
01
01
11
00
00
00
01
10
00
00
10
00
00
11
11
11
00
00
00
10
10
11
10
00
00
00
11
10
01
10
10
00
00
00
11
00
00
11
01
10
10
11
10
10
10
00
10
11
00
01
11
01
11
10
00
00
00
10
11
10
00
00
10
11
00
10
10
00
10
10
01
01
01
00
01
10
10
10
00
11
10
01
00
01
10
01
10
01
00
01
10
00
10
11
00
10
10
00
10
11
01
10
10
10
00
11
10
00
10
00
01
10
11
00
00
11
10
00
10
10
10
01
11
01
01
01
10
10
00
00
10
10
01
00
10
00
11
00
11
10
01
10
10
10
01
00
10
10
10
11
10
00
00
01
01
10
00
01
11
10
01
10
10
01
01
00
00
00
11
11
01
00
10
11
10
10
00
10
10
00
00
01
00
00
11
10
10
10
10
10
00
10
00
10
10
00
00
10
00
00
00
10
10
11
10
11
00
00
11
00
11
01
00
11
00
10
10
10
00
00
10
10
11
00
10
01
11
10
00
10
00
01
10
00
10
10
00
00
00
01
11
10
01
00
10
00
00
00
10
11
00
11
10
00
10
10
00
01
10
10
11
00
11
11
00
00
00
00
10
00
00
10
11
01
00
11
10
01
00
00
10
11
11
00
00
00
01
01
10
11
00
00
00
00
10
11
00
10
11
11
00
10
00
01
00
11
10
00
10
00
00
10
00
01
11
00
00
01
10
00
00
10
01
10
01
00
11
00
10
00
00
10
10
10
01
00
10
11
10
11
00
10
11
10
00
00
10
00
00
10
01
10
11
01
10
01
10
00
01
00
11
10
11
00
00
11
01
00
00
10
10
11
11
00
10
01
00
00
11
11
00
11
11
11
01
10
00
10
11
10
11
01
00
00
00
01
01
11
10
01
01
00
00
10
10
00
00
11
10
10
00
00
01
01
10
01
11
01
00
10
11
10
01
11
00
00
10
10
01
10
11
01
00
00
11
01
01
10
11
10
01
00
10
01
00
01
11
11
00
00
00
10
11
10
10
00
11
10
01
10
01
11
00
00
11
01
00
10
11
00
01
00
10
10
10
00
00
00
10
00
00
00
10
00
01
11
01
00
00
11
10
01
10
00
01
01
10
11
00
00
00
10
11
00
00
10
00
10
11
10
10
01
11
00
00
00
01
11
00
00
10
11
00
10
11
00
10
10
00
10
10
01
10
00
00
01
00
00
10
01
00
00
11
11
10
00
00
00
00
10
10
00
00
01
10
10
11
11
11
00
00
00
10
10
01
10
11
00
00
10
11
00
11
00
01
10
10
00
10
00
10
01
00
10
00
00
00
00
11
00
01
10
01
00
11
10
11
00
00
10
11
10
11
01
00
10
00
01
10
10
00
00
10
10
11
11
00
10
10
00
10
11
00
00
10
01
00
00
11
00
11
10
01
01
10
10
01
01
11
10
00
00
11
10
00
10
10
10
00
00
10
10
01
00
00
00
11
11
10
00
10
10
00
01
10
01
10
10
10
10
01
00
00
10
00
10
00
00
11
00
00
00
11
10
11
01
10
00
01
01
00
11
01
11
00
00
00
10
10
00
00
10
01
00
00
00
01
10
10
00
10
00
00
00
10
01
10
01
10
10
00
00
10
10
01
01
11
10
11
10
00
00
01
11
10
01
01
00
10
10
01
10
10
00
11
01
11
00
01
10
00
00
11
11
01
00
11
10
00
10
01
00
11
10
01
00
01
11
01
00
11
10
01
00
11
00
00
10
00
01
10
01
00
10
11
10
10
00
10
10
10
10
00
01
10
00
10
10
01
11
00
10
01
10
11
00
00
10
11
00
00
01
10
01
00
00
10
10
11
10
00
01
10
11
01
01
10
00
00
11
10
00
01
10
00
10
01
00
11
10
01
10
11
10
11
10
00
00
10
10
01
00
10
10
11
10
11
01
00
00
00
00
11
00
01
11
10
00
10
01
10
10
00
10
10
00
11
10
10
01
01
01
10
11
01
01
11
00
00
00
00
10
10
00
00
10
01
00
00
01
00
01
00
10
11
00
00
10
10
01
01
00
01
01
10
11
10
10
10
00
00
10
10
00
10
10
00
11
10
01
00
00
10
00
10
00
01
10
10
11
01
00
10
11
10
10
00
00
00
10
10
10
01
10
11
10
00
10
10
01
10
00
01
00
00
00
11
10
01
00
11
00
10
01
00
00
10
01
00
00
10
11
00
10
00
10
10
10
01
01
00
10
00
11
10
01
00
00
10
01
10
10
01
00
10
00
10
10
11
00
00
10
11
00
10
11
01
11
01
01
10
00
00
00
10
00
01
01
10
10
11
10
10
10
00
00
00
11
00
10
10
10
10
00
11
00
00
11
00
00
10
00
01
10
10
00
00
10
11
00
01
00
11
11
00
10
00
10
11
10
00
00
00
11
10
01
10
00
00
00
01
00
00
10
00
00
11
00
00
11
10
01
10
10
00
10
00
11
00
10
00
10
10
00
11
01
01
10
10
10
00
11
11
00
01
00
10
10
00
00
10
11
01
10
10
01
10
10
00
00
10
00
10
10
00
00
00
01
10
00
01
10
11
00
00
11
00
11
00
01
00
11
11
10
11
10
10
00
00
10
00
11
10
10
01
00
01
00
01
10
10
11
00
10
10
01
01
01
10
00
00
00
00
01
10
00
11
00
10
00
00
01
10
10
01
00
11
10
00
00
00
00
10
00
10
00
00
00
10
10
11
01
01
01
10
01
01
01
11
01
00
10
11
00
00
11
11
01
01
11
10
00
00
11
10
10
00
10
01
10
10
01
11
10
01
10
00
11
11
00
00
10
00
01
01
10
11
10
10
10
11
00
10
10
00
00
10
00
11
11
00
11
10
01
00
00
11
11
01
01
00
11
10
10
11
10
00
11
10
10
00
00
00
11
11
00
00
00
11
00
10
10
10
10
00
10
01
01
11
11
11
10
10
10
00
11
10
01
00
00
01
11
01
11
00
00
11
00
00
10
11
00
00
11
11
10
10
00
11
01
00
10
01
00
11
10
00
11
10
00
00
00
11
10
00
10
10
00
00
10
10
00
10
00
10
00
00
11
01
10
10
11
00
00
10
10
10
10
00
00
00
10
01
10
10
10
01
10
10
01
00
11
01
11
00
10
11
01
10
11
10
01
00
00
01
11
11
00
11
10
00
10
10
10
01
00
11
00
00
10
10
11
01
10
01
10
10
00
10
00
00
00
10
00
00
10
00
10
10
10
00
01
00
00
10
10
10
11
11
00
10
10
01
11
10
00
10
00
01
00
10
01
01
10
11
10
10
00
10
01
01
11
10
11
10
00
00
01
10
10
01
10
11
10
00
00
01
00
10
00
01
00
10
00
01
11
10
11
01
00
00
11
11
10
11
00
10
10
00
00
00
11
11
10
00
10
10
01
10
11
10
10
00
10
01
00
01
01
00
10
10
10
01
11
10
10
00
01
00
10
11
00
01
01
00
10
00
00
10
10
00
11
11
11
11
10
00
00
11
00
00
10
10
10
10
10
10
10
10
10
00
00
00
00
00
00
10
10
11
00
11
10
10
10
10
01
01
11
10
00
00
11
00
00
10
01
10
00
10
10
00
00
10
00
11
00
00
01
10
10
00
00
10
10
00
00
11
10
00
01
00
10
00
10
10
10
11
00
10
10
10
00
00
10
10
10
10
00
10
10
10
10
01
10
00
10
10
10
10
00
01
00
11
00
11
00
00
00
00
10
11
11
00
11
01
00
10
00
10
10
00
00
01
10
11
10
10
00
01
11
11
11
01
10
10
01
00
10
10
10
01
00
10
00
10
10
00
00
10
01
00
00
00
10
11
00
11
11
00
00
10
01
10
10
10
00
00
10
00
01
01
10
10
11
01
10
00
01
10
10
01
00
11
10
11
00
00
00
01
00
00
01
11
11
10
01
01
11
00
00
10
11
01
11
10
01
01
10
00
01
11
10
00
00
11
00
00
11
00
11
11
00
00
01
01
10
00
00
11
00
10
10
00
01
01
10
11
10
01
00
01
10
10
00
01
10
11
10
00
01
10
01
00
00
00
10
00
10
01
01
10
10
01
00
01
01
10
01
00
01
00
00
11
10
10
00
11
10
01
00
01
10
10
00
01
10
11
11
00
10
11
11
01
10
11
11
10
01
10
10
00
10
10
00
01
11
10
00
10
00
11
00
00
11
00
10
11
01
10
11
00
00
01
10
11
00
01
10
11
00
00
00
00
11
10
00
10
10
10
10
00
10
10
01
00
10
11
00
00
11
00
01
00
10
11
00
11
11
10
01
10
00
11
00
11
00
10
10
10
00
01
11
11
01
10
01
00
00
01
10
10
00
00
10
10
11
10
10
00
00
11
00
00
10
10
10
01
10
01
01
10
10
00
10
01
00
11
00
10
10
11
01
01
11
10
01
00
00
00
10
11
01
10
11
10
10
10
10
01
00
01
10
01
01
10
10
10
10
01
01
10
00
00
11
11
01
10
11
00
00
00
01
11
00
01
10
10
00
01
10
10
10
00
00
10
10
00
10
00
10
01
10
10
00
10
00
00
00
10
10
11
11
00
01
10
00
01
10
00
10
10
10
10
10
11
00
10
00
10
00
10
10
00
10
11
10
10
10
10
00
00
10
01
00
11
01
11
11
00
00
00
00
01
01
10
10
01
00
11
10
10
10
10
00
10
00
10
10
00
10
00
10
00
00
10
00
01
10
11
00
11
01
00
11
11
01
00
10
10
01
00
10
10
10
00
00
10
10
01
00
11
10
10
01
11
10
10
00
00
10
10
00
00
10
10
10
00
10
00
10
10
10
10
10
10
10
11
00
01
00
00
01
00
11
01
10
00
00
11
00
10
11
01
01
10
01
00
01
11
10
11
00
10
10
10
00
10
01
00
10
00
10
10
10
01
10
01
01
10
11
00
00
00
10
00
10
10
01
00
10
10
10
01
00
11
10
01
10
10
00
11
01
10
10
01
00
10
10
00
10
00
11
10
11
10
00
10
00
00
10
10
00
01
11
00
00
10
10
10
00
11
00
00
10
10
00
00
11
00
01
00
00
01
11
11
10
10
00
10
01
01
11
00
11
10
11
01
10
11
01
00
10
01
00
01
10
00
10
01
01
01
00
10
01
10
01
01
10
01
10
10
11
00
01
00
10
00
10
10
00
11
11
10
10
11
01
00
11
11
00
10
00
10
10
01
01
11
11
00
00
10
01
00
01
10
10
01
10
10
00
10
11
01
11
01
00
00
10
10
10
10
01
00
11
10
00
00
00
00
10
01
00
10
00
01
10
00
00
10
10
01
00
11
00
00
10
10
00
00
01
10
00
00
01
10
10
00
00
10
11
10
11
11
01
00
10
01
01
11
10
00
01
00
00
00
10
10
10
00
00
00
10
11
11
10
00
10
00
10
00
11
10
00
10
00
01
01
00
10
01
01
00
00
10
10
11
01
01
10
00
10
10
00
10
00
00
00
11
10
10
10
10
10
10
11
01
00
11
00
10
00
10
10
00
10
00
00
01
01
00
11
01
00
10
11
10
11
01
00
00
01
00
10
01
00
11
01
00
10
10
11
10
10
01
00
10
10
00
01
00
10
11
11
01
01
11
01
00
10
10
10
10
01
00
11
10
11
01
01
11
10
00
01
10
11
00
01
00
01
10
11
11
10
10
10
11
00
01
10
11
00
00
00
01
00
10
00
00
10
01
01
00
00
10
10
11
01
00
10
00
01
01
10
00
00
10
00
01
11
11
11
01
00
10
00
00
00
10
01
00
00
10
00
01
10
10
00
01
00
10
01
10
10
00
11
01
11
01
00
00
11
01
00
10
10
00
00
00
00
11
10
10
00
00
11
10
00
01
00
10
10
10
00
01
00
00
11
11
10
00
11
11
10
00
01
01
11
01
11
10
10
10
10
10
00
01
11
01
01
10
00
01
10
10
00
00
11
00
11
10
00
00
11
01
01
01
10
00
11
10
00
11
10
01
00
01
01
01
00
10
11
00
00
10
00
00
00
01
10
10
10
00
00
10
10
11
10
10
10
00
01
00
10
00
01
10
10
10
10
00
11
10
11
00
00
10
11
11
01
00
00
00
10
00
00
00
01
11
11
10
11
01
00
10
10
11
11
11
00
00
10
10
11
00
00
00
01
10
10
10
11
10
10
00
01
10
00
01
10
10
01
11
10
10
01
00
01
00
00
10
11
01
11
00
01
10
01
11
10
00
00
10
10
00
01
10
00
01
10
10
00
00
10
00
11
00
10
10
00
11
00
00
00
10
11
00
10
11
01
00
00
00
00
10
10
10
11
01
11
00
01
00
00
10
10
11
00
00
00
01
00
11
10
01
10
01
10
00
10
11
10
10
01
00
10
10
01
00
00
10
00
00
10
00
01
11
11
10
00
00
10
11
11
10
01
11
10
00
00
00
10
00
00
11
01
00
10
10
00
00
01
11
10
10
01
01
10
00
10
01
10
01
10
11
00
10
11
00
00
11
00
11
01
01
11
10
00
01
00
11
10
01
00
10
00
01
11
10
10
01
00
00
10
11
00
01
10
00
00
10
10
01
00
11
00
00
10
11
00
00
10
00
11
10
11
10
10
10
11
10
01
10
11
01
00
00
11
11
01
11
00
10
00
01
10
11
00
01
01
11
01
00
10
10
10
01
11
10
11
10
01
00
10
10
01
00
00
10
00
10
00
11
10
01
00
10
11
00
10
10
11
00
00
00
01
10
00
11
01
10
01
01
10
10
10
00
11
00
00
01
10
01
10
11
01
10
01
00
01
10
00
00
10
01
01
01
10
01
00
00
11
10
10
10
00
00
11
00
10
00
11
00
00
10
00
10
10
11
01
10
00
00
10
00
00
11
00
10
11
10
11
10
10
10
11
00
00
10
01
00
00
11
10
00
00
10
10
10
00
01
01
01
10
10
10
00
11
00
00
10
01
11
00
10
10
00
00
10
01
10
10
10
01
11
00
10
10
00
10
00
10
00
00
11
00
01
00
10
00
10
10
00
00
10
10
01
01
10
10
11
11
00
01
01
00
10
00
10
10
01
00
00
10
00
00
00
10
10
01
00
01
00
00
10
10
00
01
10
11
01
00
00
00
01
01
11
00
01
11
01
00
11
10
00
00
11
01
11
01
00
00
11
11
10
00
01
10
01
00
10
11
00
10
10
00
00
11
11
00
00
10
00
01
01
10
10
01
10
10
01
00
11
00
00
00
00
10
10
00
01
00
10
00
00
10
00
00
11
10
10
01
00
00
00
10
10
01
11
00
10
00
00
11
01
01
11
01
01
11
10
10
00
01
10
00
00
01
11
10
01
11
10
10
00
01
10
00
00
10
10
00
00
10
01
11
00
01
01
10
10
10
00
00
11
10
11
00
00
10
10
10
00
10
01
11
11
01
01
11
10
10
11
10
00
01
01
01
10
10
00
10
10
10
10
00
10
10
00
10
01
00
01
10
01
10
10
01
00
10
10
11
01
01
01
00
00
10
10
00
10
11
00
11
10
10
00
01
00
00
10
10
00
10
11
10
00
11
11
00
01
10
01
01
10
10
01
01
10
00
00
01
00
10
01
10
00
00
10
11
11
00
00
00
11
11
10
00
01
01
10
00
01
10
00
10
11
01
01
00
11
00
10
11
01
11
10
01
00
10
11
00
00
10
01
11
00
11
10
11
11
00
00
10
10
00
10
00
01
01
00
11
10
00
10
10
00
10
10
00
00
00
01
00
10
00
10
01
00
00
00
00
10
11
10
00
11
00
10
11
11
11
10
11
00
00
11
10
01
00
11
00
11
10
00
10
10
10
01
00
11
01
10
01
00
11
10
00
10
10
10
10
10
00
10
00
01
01
01
00
11
10
11
01
10
10
00
01
00
00
10
11
11
11
10
01
10
10
01
00
00
01
00
10
10
11
11
00
11
10
10
10
00
00
10
01
00
00
10
10
00
10
11
00
11
10
01
10
01
00
11
00
10
11
00
01
01
10
10
01
01
00
01
10
10
10
00
01
10
01
00
10
10
10
10
10
00
00
01
10
11
11
11
00
10
10
10
00
00
01
10
10
00
01
10
10
00
00
01
00
10
11
10
01
00
00
10
10
01
01
10
01
00
11
00
00
00
11
00
01
00
10
11
00
10
10
10
01
00
00
01
00
10
10
10
00
00
00
01
10
00
00
10
01
01
00
10
01
00
00
10
10
11
00
01
01
00
10
00
00
11
00
10
10
01
00
00
10
10
10
11
10
00
11
00
11
00
00
00
00
10
00
00
11
00
00
00
10
00
00
01
00
01
10
01
00
00
10
00
01
11
01
10
10
00
10
01
11
11
00
00
01
10
10
11
10
01
00
10
10
10
00
00
10
10
00
00
00
11
00
10
01
10
10
10
11
01
10
01
01
11
01
01
10
10
01
01
01
10
11
00
00
11
10
10
00
11
00
00
10
00
10
01
00
10
11
10
10
01
10
00
10
10
10
01
00
10
10
11
00
00
10
01
10
00
01
00
00
00
10
00
10
10
10
10
00
10
01
00
10
10
11
10
00
00
01
01
11
11
00
11
10
01
10
10
01
00
10
10
11
10
00
11
00
00
00
01
11
00
00
00
10
11
00
10
00
00
11
01
11
01
11
11
11
00
00
11
10
11
10
01
00
11
01
10
10
10
01
00
10
10
00
01
11
10
01
01
11
10
00
00
00
11
10
11
00
11
00
10
10
00
10
01
11
11
00
00
11
10
10
01
01
10
00
00
10
00
10
10
00
00
11
00
00
10
01
00
11
10
10
00
00
00
01
11
11
00
00
10
10
11
10
00
01
10
10
10
00
10
00
00
10
10
01
00
10
10
00
00
11
10
10
00
00
00
10
10
00
10
10
01
10
01
10
11
00
00
00
10
10
00
10
11
01
01
00
00
00
10
00
00
11
10
01
01
10
10
11
00
00
00
00
11
11
01
10
11
10
11
00
01
10
11
10
01
00
10
00
00
01
00
00
11
11
01
00
01
00
10
11
01
10
10
10
00
00
00
11
01
11
01
00
01
01
10
00
11
10
00
10
00
01
10
10
11
00
11
10
10
00
11
00
11
00
00
11
00
10
00
10
11
00
01
00
10
01
11
01
00
01
10
10
10
10
00
00
10
11
00
10
10
11
11
10
10
10
10
00
11
10
00
11
10
11
00
00
00
00
10
10
01
00
10
11
10
01
11
10
00
11
00
00
00
11
10
01
10
01
01
00
10
11
00
00
11
01
01
10
11
10
10
00
00
01
01
10
11
10
11
00
00
01
10
10
00
00
10
10
00
00
00
11
01
10
01
11
10
11
10
00
11
10
01
10
00
00
10
01
10
11
10
10
10
00
00
00
00
11
00
10
11
01
10
00
10
10
00
00
00
01
00
10
00
10
10
10
01
00
01
00
11
00
00
00
00
10
00
01
10
00
00
10
10
10
00
00
10
10
00
00
10
00
00
10
01
00
11
00
01
10
00
00
10
10
00
01
10
11
00
00
00
00
10
01
01
10
10
00
10
10
10
01
10
00
00
10
00
11
01
00
00
11
10
10
10
10
10
10
00
00
01
00
01
10
00
01
10
10
00
10
10
00
00
01
00
00
00
01
00
01
11
11
10
10
10
10
00
00
10
10
00
01
00
11
01
10
00
00
01
10
10
00
10
10
11
10
00
11
01
00
10
00
10
10
11
01
00
00
11
01
00
10
11
11
10
01
00
00
11
10
11
00
01
11
00
10
01
00
10
00
01
11
10
01
01
10
10
01
10
01
00
11
01
10
00
10
10
00
01
10
11
11
10
01
11
01
10
00
00
00
10
11
00
00
00
10
00
11
10
00
00
10
00
00
01
01
11
00
10
11
10
10
10
00
00
10
10
00
01
10
10
00
10
11
11
10
10
00
00
00
10
00
10
11
00
11
00
01
00
10
10
00
00
00
00
11
00
10
11
10
11
11
01
10
00
11
10
00
11
10
11
01
10
10
00
10
01
00
11
01
11
11
11
01
00
11
10
01
10
11
01
10
01
11
10
01
10
00
00
10
01
11
10
01
10
11
10
10
00
00
00
10
10
00
11
10
00
10
00
01
00
00
10
10
01
11
10
11
11
00
10
11
01
00
00
01
10
11
11
10
00
01
00
00
11
10
00
01
00
10
10
00
10
00
00
10
10
10
00
11
00
10
00
11
00
01
10
11
10
00
10
10
10
01
10
10
00
10
10
00
10
00
01
01
00
10
11
00
11
00
01
11
11
00
00
10
00
00
11
01
00
10
01
11
00
10
10
00
00
00
01
11
10
00
00
10
00
00
10
10
00
00
01
01
11
00
00
00
10
10
00
11
10
11
11
00
00
11
00
10
00
00
10
10
00
10
10
00
10
11
11
11
00
00
10
11
00
10
01
01
10
01
00
01
10
10
01
10
10
00
10
10
01
00
10
10
10
00
00
00
10
00
00
10
00
10
01
00
01
10
00
01
01
01
10
01
01
11
10
00
10
01
00
10
10
00
00
00
11
01
01
10
11
00
00
00
00
10
11
00
01
10
10
10
00
10
10
00
01
01
01
10
00
01
00
10
10
11
00
00
10
10
00
00
10
11
00
01
10
10
11
00
00
11
10
11
00
10
11
11
11
11
01
00
11
11
01
01
11
10
01
00
10
10
00
00
10
10
00
01
01
11
00
00
00
00
00
10
10
00
00
00
10
01
01
00
10
00
01
11
10
11
10
10
10
00
00
00
10
10
11
00
01
00
00
10
00
10
01
11
10
00
10
01
00
11
10
11
00
01
11
00
01
10
10
01
10
10
11
10
00
00
10
00
10
10
00
10
11
00
00
00
10
10
00
11
10
11
11
10
10
10
00
00
01
10
01
11
00
10
11
00
00
10
10
00
00
00
10
10
00
00
10
00
00
11
11
00
00
01
11
01
00
00
11
10
11
10
11
01
00
00
00
10
11
00
10
01
11
11
11
00
00
10
10
00
10
00
00
11
00
00
11
01
10
10
01
01
10
00
01
10
00
10
11
10
10
10
00
10
01
00
00
10
00
00
10
10
10
11
11
00
00
10
10
01
10
10
01
01
10
10
10
00
01
00
00
01
10
00
10
01
10
00
00
11
10
00
00
10
01
00
00
00
11
01
00
10
11
00
00
00
11
10
00
00
10
00
00
11
10
10
10
00
00
10
11
00
00
10
00
10
00
10
11
00
10
01
11
10
00
11
10
01
10
00
01
11
10
10
10
01
00
01
00
10
00
10
00
11
11
10
00
11
10
00
11
00
10
00
00
10
10
00
00
00
10
00
10
10
10
11
11
01
11
01
00
01
01
00
01
10
00
01
10
10
00
00
10
01
00
10
10
00
00
00
10
10
00
10
00
01
10
11
10
01
11
11
00
01
00
00
11
10
01
11
10
01
11
11
10
11
00
00
01
11
10
00
11
11
00
01
10
11
00
01
10
00
01
10
01
10
11
10
01
00
11
01
00
10
01
01
11
00
01
10
10
10
01
01
01
10
11
00
00
10
10
11
11
01
00
00
11
00
01
00
10
11
00
00
10
11
01
10
00
01
01
00
10
10
01
11
10
11
11
10
00
00
10
10
00
00
10
10
00
00
01
01
10
01
10
11
00
10
00
10
10
00
11
10
00
00
01
01
00
00
00
01
10
01
10
11
00
01
10
00
11
10
11
00
10
10
00
11
10
01
00
10
00
01
10
10
10
00
01
00
00
00
10
10
10
10
01
00
01
01
00
11
10
01
10
11
01
10
01
11
10
10
01
00
10
10
01
00
10
00
11
11
01
11
11
01
10
11
01
00
10
01
11
10
00
10
10
11
01
00
01
00
00
00
01
11
11
00
01
11
00
10
10
00
11
00
01
00
00
10
11
00
11
01
00
10
10
10
00
10
10
01
10
10
10
01
10
10
10
00
00
00
01
10
10
11
00
00
10
00
10
10
10
01
00
01
00
00
10
10
00
10
10
00
10
11
00
10
10
10
00
00
10
00
10
11
10
10
11
00
00
00
01
10
10
10
01
00
11
00
10
01
00
01
10
01
00
01
10
11
01
00
10
10
10
11
00
01
00
11
10
10
00
00
10
11
00
01
00
00
11
10
00
00
00
01
10
00
00
00
10
00
10
00
00
10
11
00
10
11
00
00
01
10
11
01
00
01
00
11
10
10
10
00
01
10
10
10
00
01
10
00
00
01
11
10
01
11
10
10
10
00
00
01
11
10
10
10
01
01
11
10
01
10
00
11
00
00
10
00
00
01
10
00
00
11
00
11
10
10
01
10
00
11
00
01
01
10
01
10
11
00
10
10
00
11
10
10
00
11
10
01
10
10
11
10
01
11
10
00
11
10
00
00
10
00
11
10
00
10
00
10
00
00
00
11
00
10
00
00
11
01
10
11
00
10
01
00
10
00
00
10
00
00
10
10
00
01
11
11
01
01
00
11
10
10
10
00
00
11
00
01
10
11
10
10
11
00
01
10
10
00
00
10
00
10
00
01
10
00
00
00
00
00
00
10
10
10
01
00
00
10
10
00
00
00
11
01
01
10
00
10
01
00
10
00
01
11
10
00
01
10
10
00
10
10
00
01
10
11
01
10
00
00
01
01
10
10
10
00
10
11
01
11
00
00
11
00
10
10
11
00
01
01
00
00
01
01
00
01
10
10
01
11
11
01
01
10
01
11
01
10
11
00
00
00
00
10
10
00
00
10
11
00
10
11
01
10
00
00
10
11
00
01
10
01
00
01
00
01
10
10
10
11
00
01
00
11
00
10
01
10
10
00
10
11
10
00
01
00
00
10
10
00
00
10
10
00
11
10
10
10
00
00
11
11
10
10
01
00
11
11
11
10
10
10
10
10
01
11
10
00
10
00
10
11
00
01
10
00
10
11
11
11
01
00
00
11
00
01
00
10
11
10
10
10
10
00
00
01
00
00
10
10
11
10
10
10
10
10
01
10
00
00
00
01
10
10
01
00
00
10
10
00
10
00
10
01
10
11
10
10
00
11
10
11
00
11
10
00
00
00
11
00
00
10
11
10
10
01
01
01
00
01
11
01
10
10
10
10
00
00
01
10
00
01
11
00
11
10
11
00
10
00
10
11
00
11
00
00
01
10
10
01
01
10
00
10
10
10
00
00
01
11
01
10
10
11
10
10
01
11
10
00
00
00
00
10
11
00
01
11
00
00
10
00
10
00
00
10
10
00
10
00
00
01
10
00
10
11
00
10
10
00
00
00
10
11
00
00
10
01
01
10
11
00
10
00
00
11
10
10
11
10
11
11
11
11
00
01
11
10
00
00
10
10
00
00
00
00
11
01
10
10
10
10
00
10
11
11
01
00
10
10
10
00
01
01
10
10
00
00
10
00
01
10
10
10
11
00
11
10
01
00
10
10
10
00
00
01
10
10
00
00
01
01
11
10
01
11
01
10
00
11
10
11
11
00
00
10
11
00
01
10
11
00
10
10
11
00
00
10
10
00
00
01
00
11
10
01
00
10
10
11
00
00
01
10
00
11
11
10
00
01
10
00
00
00
11
10
01
00
10
10
00
10
11
10
00
10
00
10
10
01
00
00
10
11
10
01
00
10
00
10
01
11
10
00
01
01
11
01
10
11
10
00
11
11
00
00
10
00
00
00
01
01
10
00
00
11
11
00
00
10
10
11
00
01
11
11
01
00
00
11
00
01
00
11
10
10
00
11
00
00
00
10
00
00
10
01
01
11
00
11
00
10
10
01
00
00
11
11
00
01
11
01
01
10
10
11
10
00
00
00
10
10
01
01
10
00
01
10
10
00
01
00
11
00
10
10
10
01
10
00
00
10
10
00
00
10
10
01
11
00
10
10
00
11
01
01
10
10
00
10
11
00
10
11
10
01
01
01
10
10
01
11
00
01
11
10
11
00
00
10
00
00
00
00
10
01
10
10
01
00
11
10
11
01
10
01
01
10
10
10
00
10
00
00
10
11
11
01
10
10
11
10
10
00
00
10
00
01
00
11
10
11
01
01
00
10
00
00
10
00
11
10
11
10
10
00
00
10
10
00
00
01
11
01
11
00
11
10
00
10
00
01
00
01
10
00
10
10
00
01
11
10
00
00
10
00
10
00
01
11
11
10
10
10
00
11
10
11
11
00
11
00
10
00
01
00
11
00
00
10
11
11
00
00
10
00
10
10
10
11
11
10
00
10
10
10
01
00
00
10
00
01
10
01
10
10
10
00
00
10
00
00
00
11
00
11
10
00
01
10
00
10
11
00
00
11
01
10
00
01
11
11
01
10
11
00
00
11
11
00
00
00
11
10
00
00
11
10
10
00
10
10
00
11
11
00
01
11
00
01
00
00
11
10
00
10
10
10
10
11
00
10
10
11
01
01
10
00
10
11
10
01
10
11
00
01
10
10
00
00
00
11
10
00
11
00
10
11
11
00
00
01
00
00
10
10
10
10
10
00
00
10
10
01
00
10
10
00
00
00
00
10
00
00
10
00
00
00
11
10
00
00
01
11
10
00
01
00
11
10
00
11
10
00
00
11
10
10
00
11
11
01
01
01
00
10
01
10
11
00
00
10
10
00
10
10
00
00
00
01
01
01
01
11
01
00
00
00
10
11
10
10
00
00
10
10
10
00
10
10
01
01
01
00
00
00
00
01
10
10
10
10
11
10
01
00
10
01
11
10
11
11
00
00
00
10
10
10
00
00
00
00
10
11
00
00
11
10
00
01
11
01
00
10
11
00
00
10
11
01
00
10
01
00
00
10
10
11
10
00
11
10
00
00
11
00
00
10
00
10
10
10
00
00
01
10
00
00
11
10
11
10
11
10
11
10
10
01
01
00
10
00
00
00
00
11
10
10
11
10
01
01
11
00
01
10
00
11
11
00
00
01
10
01
10
11
00
00
10
10
01
00
10
10
00
11
11
10
00
10
00
11
00
00
10
10
01
00
01
00
00
01
00
01
10
11
01
00
11
10
10
10
10
11
11
00
01
10
00
00
01
11
10
10
00
10
10
00
10
00
10
10
11
10
11
11
11
00
10
00
11
11
00
10
10
01
10
00
00
11
10
00
00
00
10
11
01
10
10
00
00
00
11
00
00
10
11
11
01
11
10
10
00
10
11
01
01
11
10
10
11
10
00
01
10
00
01
00
01
01
00
10
00
10
10
00
01
10
10
00
00
01
10
00
00
10
01
00
00
00
00
00
10
10
10
10
00
11
01
01
01
00
11
10
11
00
10
10
00
01
00
11
11
00
00
11
00
10
00
00
11
10
10
01
00
00
00
11
10
01
11
10
10
10
11
00
11
00
11
01
00
11
10
10
00
10
10
00
00
10
01
10
00
10
10
00
10
01
00
01
10
10
10
00
10
01
00
11
01
01
01
10
10
00
11
11
00
01
11
10
00
00
10
01
00
00
11
10
00
10
01
00
11
00
11
00
00
00
00
01
11
00
10
01
10
10
01
00
10
00
00
10
10
10
01
11
10
10
00
00
00
00
10
11
00
11
00
00
10
00
01
10
11
01
00
11
11
00
01
01
10
11
10
00
00
00
10
11
00
01
00
01
10
10
00
10
10
11
01
00
01
10
10
00
01
00
10
01
10
10
10
00
01
10
00
00
00
10
10
10
00
11
00
10
10
11
10
00
10
00
11
00
01
11
10
01
11
00
00
00
10
11
10
00
00
01
10
00
01
01
00
10
00
10
01
01
10
11
00
00
01
10
10
00
11
10
11
00
01
00
10
01
00
10
11
01
00
11
10
00
11
10
10
00
00
10
00
00
10
10
00
11
10
10
10
11
01
11
01
10
11
00
10
00
00
11
11
10
11
01
11
10
00
00
00
01
10
10
10
11
10
00
01
10
10
00
00
01
00
10
10
10
10
11
01
01
10
10
01
10
10
00
00
11
01
00
11
00
00
00
10
01
10
10
00
11
10
00
10
00
01
10
10
01
11
10
10
10
10
11
11
01
11
00
01
11
11
00
10
10
00
01
10
00
10
11
10
10
10
10
00
00
10
00
10
01
10
00
11
10
00
10
10
00
10
10
01
01
10
01
10
10
10
10
00
10
11
01
00
00
11
01
00
11
10
00
11
11
00
01
00
11
01
10
10
00
10
00
01
10
11
00
10
10
10
00
00
01
11
11
11
11
00
01
10
11
01
01
10
10
11
11
10
01
00
10
11
01
00
00
11
11
00
00
11
10
11
10
11
01
01
11
01
10
10
00
11
10
10
11
00
00
00
10
10
11
00
10
11
00
10
01
01
10
11
00
00
10
10
11
10
11
00
01
01
00
10
10
00
00
10
10
00
01
10
00
11
01
10
00
10
10
11
00
01
00
11
00
10
00
01
00
11
10
00
11
10
11
00
10
10
10
01
00
10
11
10
10
10
10
00
10
10
01
01
10
10
10
00
10
00
01
10
00
10
11
00
00
11
10
01
11
00
00
10
00
10
10
01
11
00
11
10
10
10
10
11
01
11
01
10
10
10
00
01
10
00
00
11
11
01
01
00
10
01
00
10
11
01
11
00
00
11
10
01
00
11
11
11
11
01
10
10
01
00
10
10
00
11
10
00
10
00
11
11
01
00
01
00
00
11
10
01
11
11
00
01
00
11
00
10
11
00
10
11
10
00
00
01
00
10
11
11
00
10
10
01
00
10
00
01
00
10
10
00
00
10
01
00
01
00
00
10
10
10
10
00
01
00
11
11
00
10
11
11
00
10
10
10
00
01
00
10
00
10
00
01
10
00
11
10
10
10
00
00
11
10
10
00
11
10
00
00
01
10
11
00
10
10
11
10
11
00
00
10
11
00
00
10
10
11
11
10
10
00
11
11
00
01
10
11
10
10
10
10
00
01
11
10
10
10
00
10
00
01
10
10
00
01
10
00
10
11
01
01
10
10
01
10
10
01
01
11
01
01
10
01
11
00
00
10
10
00
11
10
10
00
00
10
00
11
10
00
10
00
00
10
11
10
01
01
00
00
10
01
10
01
01
11
11
10
00
10
11
00
00
10
01
00
10
10
01
00
01
10
10
00
10
01
01
10
11
00
00
00
00
10
00
10
01
10
10
00
01
10
00
10
01
00
10
10
10
00
00
00
00
00
11
10
10
00
11
11
01
01
10
10
01
11
01
01
10
00
10
00
10
10
01
01
10
00
01
00
00
00
01
10
10
10
01
10
11
10
11
10
00
00
11
10
01
00
10
00
11
01
00
10
00
00
10
11
01
01
11
11
10
00
11
00
01
10
10
10
10
10
01
00
00
01
00
00
10
00
00
10
10
10
10
01
11
00
01
01
00
10
00
10
10
00
11
11
10
01
01
00
10
00
00
10
00
00
00
11
10
10
10
00
00
10
00
10
11
10
11
10
00
00
10
10
11
00
00
01
11
10
11
10
10
10
00
00
00
11
11
00
11
01
10
10
00
10
10
11
00
10
10
00
00
10
01
00
11
10
00
00
10
11
10
00
00
10
00
00
01
00
10
10
00
00
10
00
00
10
10
01
01
11
10
01
01
00
01
00
11
00
01
11
10
01
00
00
00
00
10
10
10
11
10
10
00
01
00
01
11
00
10
10
01
10
11
00
00
10
10
00
11
10
01
10
10
01
00
10
00
01
11
01
01
01
00
00
10
01
11
00
10
10
01
00
10
00
00
10
00
11
10
10
01
10
00
00
00
00
00
00
00
01
10
00
10
11
11
10
01
11
00
01
10
10
10
00
01
10
01
01
00
10
10
10
00
00
10
10
01
00
10
00
00
00
01
00
10
01
01
00
10
01
00
11
01
10
11
01
10
11
01
00
01
10
10
01
01
11
10
11
11
00
01
10
00
11
00
01
01
01
11
10
10
00
00
11
00
00
00
10
00
01
00
10
00
01
01
01
10
11
00
00
00
00
10
11
00
00
11
10
11
00
00
01
01
00
11
10
11
00
01
11
00
00
10
10
01
11
10
10
10
10
01
00
10
00
10
11
00
00
00
00
01
00
01
00
01
01
00
10
11
01
00
11
10
00
10
10
00
11
10
00
00
00
11
00
00
11
10
01
00
00
10
10
00
00
00
10
00
10
11
11
10
11
10
01
01
11
00
00
00
10
01
00
00
10
01
00
11
00
10
00
11
00
00
00
11
00
00
11
10
10
11
00
00
01
10
10
00
01
10
01
00
10
10
10
10
00
11
10
01
00
11
10
10
00
00
10
00
10
10
00
01
10
01
01
00
10
10
10
00
01
10
10
00
00
00
01
00
00
01
11
10
11
01
10
10
00
11
00
01
10
00
10
00
01
11
10
11
01
10
11
00
00
10
10
10
00
00
11
00
10
10
10
10
01
01
11
10
01
00
01
00
01
10
10
01
01
10
10
00
00
00
00
00
11
10
11
11
01
10
00
00
10
10
11
10
00
10
11
00
00
10
00
10
01
10
00
01
10
10
00
00
01
11
01
00
11
10
01
11
00
10
10
10
01
11
10
00
00
10
11
00
11
00
10
01
11
11
10
11
00
00
00
11
00
00
10
10
10
10
00
00
00
10
00
11
10
01
01
01
11
01
00
00
00
01
01
10
00
10
10
11
10
00
00
10
00
00
00
10
11
01
11
01
10
10
01
10
11
10
01
00
11
10
00
10
11
11
00
00
10
00
00
00
11
01
10
01
00
10
01
00
10
00
00
10
10
10
00
00
00
10
11
00
10
10
10
10
10
11
00
01
10
10
10
10
00
11
00
01
10
11
00
11
10
00
00
11
10
01
01
01
00
11
11
10
10
00
10
10
11
00
01
00
10
11
10
01
10
00
10
10
00
11
00
01
11
10
10
00
11
10
10
00
10
01
00
11
01
00
11
11
01
10
01
01
10
11
00
00
10
00
00
01
00
10
10
10
00
01
11
10
10
00
11
01
10
10
00
10
10
00
10
00
00
10
11
11
11
10
00
10
10
00
00
10
01
10
00
00
10
10
11
10
00
11
00
00
11
11
00
11
00
10
10
10
00
00
10
10
00
10
10
00
10
11
00
01
00
10
11
00
01
10
00
00
10
00
00
01
10
01
10
11
01
00
11
11
10
00
10
00
11
10
00
11
00
10
00
01
10
01
00
10
00
00
01
10
00
00
01
11
10
00
11
10
10
11
10
00
01
10
10
00
01
10
00
00
11
11
01
01
00
01
11
00
01
10
11
01
00
10
11
00
10
00
00
01
10
11
01
01
10
10
10
01
00
10
10
10
10
10
10
01
10
10
00
01
11
11
00
01
00
11
10
00
00
00
00
11
01
10
10
00
11
10
00
00
10
10
00
10
10
00
00
11
10
10
11
10
11
01
10
01
00
11
10
11
00
01
11
11
10
00
00
00
10
10
00
00
11
10
00
00
10
11
10
10
00
10
00
00
10
10
00
11
00
00
11
01
00
00
00
10
10
10
11
10
00
01
10
11
00
11
01
00
01
00
10
10
01
00
10
10
01
10
01
00
10
11
00
01
00
11
11
00
10
10
00
00
10
10
00
00
10
01
01
11
10
11
01
10
11
00
00
10
01
00
11
00
10
00
00
10
10
10
01
01
01
00
00
00
00
00
11
01
11
11
00
11
11
01
11
00
00
10
10
01
00
01
01
11
11
00
10
11
00
01
10
11
01
01
10
10
10
10
00
00
01
00
11
11
01
00
11
10
01
00
10
01
00
10
11
10
01
10
10
01
10
10
11
10
00
00
10
01
00
10
10
01
00
10
10
00
01
01
11
10
01
01
00
10
11
10
01
00
10
11
00
10
10
10
00
00
10
00
10
01
11
10
00
00
11
10
11
00
10
00
10
01
00
10
11
01
00
00
10
10
10
00
01
00
10
10
11
10
01
11
10
11
00
01
10
11
01
11
00
01
01
10
11
00
10
10
00
00
10
10
01
00
11
10
10
10
00
00
11
01
01
00
11
10
00
10
11
00
00
10
10
10
10
00
11
01
01
00
10
11
00
10
00
01
10
01
10
10
11
00
00
10
00
00
10
10
00
00
10
00
11
10
00
10
00
10
00
00
10
00
10
00
00
11
01
11
10
01
10
01
00
00
10
10
00
01
10
10
10
00
11
01
00
10
11
11
11
11
10
11
10
00
00
01
00
10
00
01
10
10
10
11
01
10
10
00
00
10
00
00
10
10
00
00
11
10
10
00
10
10
00
10
01
00
00
01
01
00
00
10
10
11
00
10
00
10
01
10
10
01
01
00
11
10
10
00
10
00
10
10
01
00
00
01
00
10
10
10
10
10
10
00
10
10
00
00
11
00
10
10
10
11
00
00
00
01
10
11
01
00
10
10
00
00
10
10
00
00
10
00
01
00
10
10
11
01
00
10
10
11
11
00
01
00
10
10
10
10
00
00
10
10
01
11
11
00
00
01
01
10
10
00
01
00
10
10
10
10
10
01
00
10
00
10
10
00
10
00
01
10
11
10
00
00
10
10
00
00
11
01
00
11
10
10
00
11
10
00
10
10
10
00
11
10
10
00
00
11
10
11
10
10
00
11
10
11
00
01
10
11
00
11
00
10
00
00
00
00
00
10
10
00
11
10
10
01
11
10
10
00
00
00
10
10
10
00
10
10
10
11
11
01
10
11
00
11
01
00
01
10
01
10
10
00
00
00
11
00
01
10
10
11
10
01
00
10
11
00
01
11
00
00
11
10
00
10
10
00
11
01
01
10
10
11
00
00
00
10
10
00
10
01
10
11
10
01
10
00
10
11
11
00
00
01
11
11
00
00
10
10
00
00
10
00
10
00
10
11
00
00
00
01
10
10
10
11
00
01
11
11
01
01
11
10
00
00
10
10
00
11
00
00
11
00
11
01
10
01
11
10
10
00
01
00
10
00
00
10
00
00
11
11
00
10
10
00
11
11
10
00
11
10
00
10
10
00
10
10
10
10
11
10
11
00
01
10
10
00
01
00
10
10
00
01
00
00
10
10
01
11
00
00
01
11
11
00
11
11
00
10
00
01
10
00
00
10
01
01
01
10
00
00
10
00
10
10
01
01
11
10
10
01
10
11
00
01
00
11
10
11
00
01
01
11
00
01
00
10
10
00
10
10
00
00
11
10
00
00
10
00
00
01
00
10
10
01
10
10
11
01
00
11
00
10
10
01
10
00
10
11
00
00
01
01
11
00
00
11
10
10
00
00
10
00
11
00
00
00
11
10
00
10
00
01
00
10
10
10
11
00
11
00
00
10
11
10
01
01
10
01
00
01
10
01
01
10
10
00
11
00
00
00
00
10
00
11
10
01
10
00
00
11
10
10
10
00
11
01
10
11
10
11
10
00
10
01
01
10
10
11
00
01
00
00
10
10
10
00
11
10
00
00
00
01
10
01
10
10
00
10
10
01
01
10
10
00
10
10
11
10
11
00
01
00
10
10
00
00
00
10
11
01
10
00
01
01
01
00
10
00
00
00
00
10
00
00
11
01
10
11
11
11
10
11
01
10
01
00
00
10
10
10
10
11
00
10
10
10
10
00
01
11
00
01
11
01
10
10
00
10
10
00
11
10
00
00
10
10
01
10
00
00
00
10
00
00
11
01
11
10
10
00
00
10
01
00
11
11
10
10
10
11
11
11
01
00
11
01
00
10
00
00
10
00
10
10
00
00
11
10
01
10
10
01
10
11
00
11
00
01
10
00
00
11
10
10
00
11
00
11
10
01
00
10
11
10
00
10
11
01
11
11
00
10
10
01
11
00
00
10
10
00
11
11
10
01
01
00
01
00
01
00
11
00
01
10
10
00
10
10
00
00
10
11
10
10
00
00
00
10
10
00
10
10
10
10
00
01
10
11
10
11
00
10
10
00
01
10
01
10
01
01
00
11
10
10
01
01
11
00
11
10
01
01
00
00
10
10
00
11
00
10
01
11
10
10
00
00
10
00
11
10
00
10
00
00
00
11
10
11
10
00
00
11
11
01
10
10
00
01
00
00
00
10
11
10
10
00
01
00
11
00
10
10
00
10
10
00
00
10
11
01
00
00
10
00
11
11
01
10
00
10
00
00
10
01
01
00
10
10
11
10
01
10
00
01
10
10
01
11
11
10
10
01
01
00
01
10
10
11
00
10
00
00
10
00
10
11
00
00
00
10
10
01
01
00
00
10
10
00
00
11
10
00
01
00
10
01
00
11
00
10
11
00
11
10
10
00
10
00
10
00
00
00
10
00
10
11
00
01
10
00
00
11
01
00
01
01
10
00
01
10
00
11
11
00
01
10
11
01
01
10
01
10
11
01
00
00
11
01
00
10
10
00
00
00
01
10
00
10
00
11
10
11
00
00
11
11
00
00
01
10
01
10
00
01
10
11
10
00
11
10
01
01
11
10
10
10
01
00
10
10
00
00
00
00
00
00
01
01
10
11
00
10
10
10
10
10
00
01
10
10
10
00
10
10
00
10
10
10
01
10
10
00
10
10
10
11
00
01
00
00
10
00
10
10
00
00
10
00
00
11
00
11
10
10
00
10
00
10
11
00
00
00
11
11
00
10
00
10
10
10
10
00
00
10
10
00
11
10
01
00
11
01
11
00
10
10
00
01
10
01
00
01
10
11
10
01
10
11
00
00
11
00
00
10
11
00
10
10
00
00
10
00
10
10
00
10
00
10
11
00
10
10
11
10
11
00
00
10
00
00
10
10
00
10
10
00
01
11
10
00
00
00
00
00
11
10
10
10
10
10
00
10
00
00
11
11
10
01
11
01
10
00
00
01
11
10
10
00
01
11
11
01
10
11
00
10
10
01
00
10
10
00
10
10
10
00
10
10
01
11
11
00
00
00
01
00
11
10
00
01
10
10
00
11
10
10
00
00
00
01
00
10
10
10
10
00
00
00
10
11
01
00
11
00
00
00
10
01
00
00
11
10
11
10
00
11
01
00
10
01
10
00
11
01
10
10
01
00
11
11
00
00
10
11
10
10
01
10
10
10
10
00
00
10
00
01
10
00
10
10
11
01
00
10
10
01
10
11
01
00
11
10
01
01
01
10
11
10
00
00
00
10
10
00
00
00
01
10
10
01
00
01
01
00
11
11
11
11
01
01
00
10
11
00
10
11
01
00
01
11
00
00
00
10
11
10
10
01
10
10
10
10
01
00
00
11
01
01
00
10
10
00
01
00
00
10
10
10
11
10
10
10
00
11
10
11
01
10
00
01
00
10
10
00
01
10
10
10
00
00
11
10
01
00
01
10
10
10
00
10
11
00
10
10
10
01
10
01
01
00
11
00
10
00
10
11
00
01
10
10
10
10
10
01
10
11
10
00
00
01
00
10
01
10
01
01
01
00
10
10
00
11
10
10
00
01
01
00
00
10
11
00
01
01
11
01
01
01
10
00
01
01
01
10
11
10
10
11
00
00
10
10
00
00
01
11
10
01
00
00
10
00
11
00
00
11
11
00
00
00
00
00
00
11
11
01
10
10
01
00
00
01
11
00
00
10
00
10
10
11
10
10
01
00
00
10
10
10
10
00
00
00
10
10
00
10
01
10
01
00
00
10
01
00
10
10
00
10
10
10
11
11
00
11
00
00
10
10
11
10
10
00
10
00
00
11
01
00
10
11
01
11
00
00
10
00
01
10
11
00
10
01
00
01
00
00
01
10
11
10
10
00
01
10
10
11
11
11
10
00
00
10
01
00
10
11
00
01
00
10
00
10
01
10
01
00
00
00
10
00
10
01
00
10
01
00
10
00
01
01
00
10
10
11
00
00
01
00
00
00
01
10
10
10
01
00
10
10
01
00
00
10
10
11
00
00
10
00
00
00
10
11
00
00
01
10
00
11
00
00
00
11
10
00
01
00
00
11
10
01
11
00
10
11
10
10
10
01
00
10
00
10
00
11
01
00
01
11
01
00
10
11
00
00
00
00
10
00
10
10
00
01
01
11
10
00
11
10
10
01
10
11
00
11
11
10
10
01
11
01
00
10
00
10
10
10
00
10
00
01
00
00
00
11
10
00
10
10
00
11
10
00
00
11
11
00
10
01
00
00
00
00
11
10
10
10
01
11
10
01
00
00
10
00
01
01
10
10
00
00
11
00
01
10
00
11
10
00
00
00
11
11
01
10
10
10
10
00
10
10
11
11
11
01
01
01
11
00
01
00
10
11
10
10
00
11
10
10
00
00
10
01
00
10
11
00
01
10
01
10
01
01
10
11
01
10
00
10
00
10
10
11
10
01
00
00
10
11
00
11
00
00
10
10
00
00
00
10
10
00
01
10
11
10
01
10
01
00
11
10
10
00
00
01
01
10
01
10
10
00
11
10
11
00
00
11
00
00
11
00
00
11
10
10
00
00
11
00
00
10
10
11
10
01
00
11
00
00
00
10
11
01
11
11
01
00
10
01
00
00
00
01
10
11
00
11
00
01
00
11
10
11
01
11
10
10
10
00
01
11
11
01
01
10
01
11
10
10
00
00
01
00
10
00
00
00
10
00
01
11
00
00
00
00
11
10
00
01
11
11
00
00
10
01
11
11
01
00
00
00
01
11
00
01
11
11
00
11
00
01
11
10
10
00
00
10
01
00
00
11
00
01
00
01
11
11
01
10
11
01
00
01
00
01
10
11
00
00
00
10
10
00
10
11
10
00
00
01
00
00
00
10
00
00
11
00
01
11
11
10
01
10
11
10
10
01
01
00
10
01
00
00
11
10
11
10
00
10
00
01
11
00
00
00
10
00
01
11
11
00
00
11
00
11
00
00
10
01
00
00
01
10
11
00
01
10
00
10
00
00
11
10
01
11
00
10
10
01
00
10
10
00
10
10
01
10
01
10
01
00
10
00
10
10
00
01
10
10
11
01
00
00
00
10
11
10
01
00
10
10
11
00
10
11
01
10
01
10
11
10
01
00
10
11
01
10
10
10
00
10
10
01
10
00
00
11
00
01
10
00
00
00
10
10
01
10
10
11
10
10
01
01
00
01
11
10
00
00
10
10
01
10
01
00
00
10
11
10
10
00
01
01
10
01
10
10
00
00
00
10
11
01
00
10
10
00
10
10
10
00
10
10
01
00
00
11
10
00
10
00
00
00
10
00
01
10
01
01
11
00
11
01
01
10
11
00
01
11
00
11
10
00
01
01
10
11
00
00
10
11
01
11
00
00
00
11
10
00
10
10
00
01
00
00
00
11
10
00
01
00
10
10
01
00
10
01
00
11
10
01
10
11
00
01
10
10
00
00
01
10
11
01
01
10
10
01
00
00
10
11
00
00
00
00
00
00
10
10
10
00
11
11
10
00
10
11
00
11
00
00
10
10
00
10
00
10
10
00
10
11
10
10
00
01
10
10
00
00
10
01
00
10
00
00
11
00
10
01
00
00
00
01
11
11
01
01
00
10
01
11
00
10
10
00
00
00
10
10
00
10
11
01
10
10
10
01
01
01
01
10
11
10
10
11
10
01
00
01
10
11
00
01
10
10
00
00
00
11
10
01
00
00
10
10
10
10
01
00
00
00
00
10
10
01
00
10
01
01
10
00
10
10
10
01
01
00
10
00
10
10
01
00
00
11
11
10
10
10
10
10
11
00
10
10
11
00
10
01
01
10
00
01
00
01
10
01
10
00
11
11
01
00
00
10
10
00
00
00
10
10
01
10
00
00
10
00
00
10
11
10
00
10
11
00
10
10
10
01
00
10
00
10
10
00
11
11
00
00
11
10
00
00
00
01
00
11
00
00
00
10
10
01
11
10
10
00
01
01
10
01
11
10
11
11
00
10
10
00
00
11
11
10
00
10
11
11
00
00
11
11
01
00
10
10
11
11
00
10
10
00
00
00
01
10
10
00
00
00
10
00
00
10
00
00
00
00
10
11
00
10
11
11
00
00
00
00
10
01
10
10
10
10
11
00
00
01
10
01
00
00
00
01
10
00
00
10
01
01
00
01
00
00
00
01
10
10
10
01
11
11
10
01
10
00
10
11
00
10
10
00
10
11
10
00
00
11
01
10
11
01
01
11
01
10
00
10
11
01
10
10
10
01
00
01
00
10
10
00
00
01
10
10
00
00
01
00
11
00
01
11
01
10
10
01
00
10
10
10
00
00
10
00
10
10
11
00
01
10
11
01
00
00
11
01
01
11
11
10
00
01
00
10
10
01
00
10
10
10
00
11
11
10
00
01
00
01
00
10
00
01
00
00
00
10
11
01
10
01
00
11
10
10
00
00
11
11
11
01
10
01
10
00
11
01
00
00
10
10
00
10
00
10
01
11
11
01
01
11
00
10
00
00
10
01
00
10
00
01
10
10
00
10
01
00
11
00
00
00
00
00
00
01
11
00
00
00
10
10
10
00
00
10
00
00
11
10
01
11
10
00
00
01
11
00
00
10
00
11
11
01
01
10
00
00
10
10
00
00
11
10
00
10
10
11
10
01
10
10
00
00
00
01
00
10
10
00
10
00
01
10
00
10
00
00
00
10
10
10
00
00
11
10
10
10
11
11
00
00
00
10
00
10
10
00
00
00
10
10
00
11
10
11
10
10
10
01
10
00
00
10
10
10
10
10
00
00
00
00
10
10
01
11
10
11
11
10
00
00
11
00
11
10
10
10
01
00
00
00
11
00
01
00
11
10
00
01
10
11
11
10
00
00
10
10
00
11
01
11
10
11
01
11
01
11
10
00
01
00
10
00
00
10
10
00
00
00
10
11
00
00
10
01
01
10
10
00
00
00
01
00
11
10
00
10
10
00
00
00
00
01
01
10
00
01
11
10
00
01
10
00
10
10
00
10
10
01
10
11
00
00
11
00
10
11
00
11
10
00
00
11
10
01
11
01
11
01
10
10
10
00
10
10
10
00
00
11
11
00
11
10
00
00
01
10
11
00
10
00
01
11
00
10
11
00
00
10
10
00
11
11
00
01
00
00
01
10
00
00
00
01
01
01
10
10
11
00
00
11
10
10
10
10
00
01
10
01
10
10
10
10
11
00
01
11
00
00
10
00
00
11
11
00
00
01
10
11
10
00
00
11
11
00
00
11
10
00
00
11
00
10
00
01
00
00
11
10
10
01
11
11
00
11
10
01
10
11
00
10
11
10
00
10
00
00
11
11
10
01
11
10
10
00
00
11
00
01
10
00
10
00
00
10
11
01
00
01
10
11
11
00
11
10
00
00
10
11
00
10
01
10
10
00
00
01
01
11
10
10
10
00
11
10
01
01
11
00
00
10
01
00
11
01
00
10
00
00
10
10
10
00
11
11
01
00
11
11
10
11
00
00
01
11
10
00
10
10
00
00
01
10
11
00
11
01
11
00
11
11
00
10
11
11
00
00
10
01
10
01
11
11
11
10
00
00
00
10
00
00
11
10
01
11
00
00
10
10
00
11
10
00
11
01
00
01
00
10
10
01
10
11
00
01
01
00
00
00
00
10
00
00
00
01
11
00
10
10
01
01
11
10
01
00
11
00
00
10
10
11
00
11
10
10
10
00
00
10
00
01
00
10
01
10
10
00
01
10
00
00
11
01
00
11
10
01
01
00
11
11
01
00
01
11
11
11
00
00
00
00
10
10
01
00
10
10
11
10
00
10
10
00
01
00
01
00
00
01
00
10
10
10
01
11
00
10
10
00
10
10
00
10
01
00
10
00
10
11
01
00
01
00
10
00
00
01
11
10
00
10
01
01
11
10
10
00
10
10
10
00
00
10
11
00
00
01
10
10
10
00
11
10
00
00
10
00
11
00
11
10
01
10
01
00
00
10
00
01
10
11
00
00
00
10
00
01
01
01
10
10
11
10
10
00
00
01
00
10
11
10
11
01
10
10
10
00
10
01
01
10
01
10
11
00
10
00
10
10
01
00
11
10
01
00
00
01
00
00
01
00
10
00
11
10
00
00
00
00
10
11
10
10
00
10
00
10
11
10
01
11
11
01
10
11
00
01
10
00
10
10
01
10
11
01
10
10
10
10
00
01
10
11
10
00
00
10
01
00
00
11
10
00
00
01
00
01
10
10
00
01
00
10
11
00
10
11
10
00
00
11
00
10
00
10
10
10
10
10
00
10
00
11
10
00
10
10
00
10
10
00
11
11
00
10
10
00
00
00
10
11
01
11
10
10
11
00
00
00
01
00
00
00
10
10
11
11
01
00
10
11
10
01
10
00
01
10
11
10
10
01
01
01
00
00
10
01
11
10
00
01
11
11
10
00
01
10
11
10
11
00
10
00
00
00
10
01
01
11
10
01
11
10
10
01
11
10
01
00
10
10
00
00
10
00
01
11
10
01
00
01
10
00
10
10
00
00
10
11
10
00
10
11
11
10
00
00
10
01
11
10
01
01
00
00
00
10
10
00
11
00
11
00
00
10
01
11
10
00
00
00
00
10
10
00
01
10
10
10
10
00
00
00
01
10
10
11
11
10
01
00
10
00
11
00
10
01
00
10
00
11
10
01
01
10
10
00
01
11
00
00
11
01
10
10
00
10
01
00
10
11
11
10
00
10
10
01
10
01
00
00
10
00
00
10
01
01
00
10
11
11
00
10
00
00
01
00
11
11
01
00
10
11
00
01
10
11
01
01
10
00
00
00
11
10
10
00
01
01
01
11
01
10
10
00
00
10
10
00
00
01
11
10
10
00
11
11
10
10
00
00
00
10
10
00
00
10
00
01
10
11
11
00
01
10
00
00
10
10
00
00
10
11
10
10
10
00
00
00
11
10
01
00
10
10
10
10
00
10
00
01
01
11
11
10
00
10
10
00
10
10
00
11
10
11
10
10
01
00
10
11
01
10
11
10
10
10
00
00
00
00
11
00
10
11
00
00
00
10
10
00
00
11
10
00
00
10
00
01
10
10
11
11
10
11
11
10
11
01
10
01
01
11
01
00
10
00
00
11
00
10
10
00
10
10
00
00
01
10
10
00
11
11
00
01
10
10
00
00
00
10
01
00
11
10
11
01
01
11
10
01
00
10
10
10
00
00
00
10
01
10
10
01
00
00
11
10
10
10
10
00
00
11
10
01
00
01
10
10
00
00
10
10
00
01
01
00
10
00
01
01
10
00
10
00
00
01
00
00
01
00
01
00
10
10
01
00
11
00
00
00
10
11
00
11
10
11
01
00
00
10
00
01
00
11
10
00
11
10
10
00
00
11
10
10
01
11
01
00
10
10
00
10
11
00
00
10
01
00
10
10
00
11
11
00
11
01
00
10
10
01
00
10
10
10
01
00
11
01
10
10
01
10
00
01
10
01
10
10
01
00
10
00
01
11
11
00
00
10
01
00
00
10
10
10
00
00
11
00
10
10
10
10
00
00
10
00
01
00
11
10
10
11
01
01
01
00
10
00
10
11
00
01
10
00
00
00
11
11
00
10
00
00
10
00
00
10
00
00
00
11
00
01
10
11
00
10
10
00
00
10
01
10
00
00
10
01
00
11
00
01
01
10
11
10
00
11
11
01
10
01
01
01
10
00
00
00
10
10
01
10
10
01
11
10
11
10
11
00
00
00
01
00
01
10
10
01
00
10
00
01
10
01
10
10
00
01
11
10
11
10
10
00
00
00
11
00
00
01
11
00
10
00
11
10
01
00
11
10
11
00
00
00
11
10
00
00
01
00
00
00
00
10
10
10
10
10
00
00
11
01
00
00
00
00
10
10
10
10
10
00
00
10
01
01
01
01
11
00
01
00
11
01
00
10
10
00
01
00
11
01
00
01
00
10
00
10
11
00
10
10
10
00
11
10
01
00
01
01
00
10
00
10
10
11
00
00
00
11
11
00
10
00
11
10
01
00
00
00
01
10
00
11
11
10
00
01
10
00
10
00
00
10
11
11
00
01
11
10
00
00
00
00
00
11
11
01
00
11
10
10
10
01
00
10
00
00
00
00
11
10
11
00
00
11
10
00
00
00
10
00
00
10
00
00
11
10
00
00
11
10
00
00
10
01
10
11
01
00
10
01
01
11
10
00
10
10
10
00
01
11
01
10
10
00
10
10
01
00
10
01
10
00
00
10
00
10
00
01
10
00
01
11
01
01
10
11
00
00
10
00
01
10
10
01
10
10
00
10
00
10
00
01
11
11
10
11
01
00
00
11
10
00
01
11
00
01
10
00
01
00
10
00
01
01
10
10
00
00
00
11
00
01
10
01
11
00
00
10
01
01
01
10
11
10
00
01
11
00
00
00
10
10
00
10
00
10
00
10
01
11
00
10
11
10
10
00
00
10
10
00
00
00
10
10
10
10
01
11
10
01
01
00
01
00
01
10
11
10
10
11
10
01
01
10
10
01
00
10
10
00
00
00
10
10
00
01
10
01
00
01
10
10
01
00
10
10
01
01
00
00
11
11
00
11
01
11
00
01
00
10
10
00
00
10
00
10
11
10
11
01
10
01
00
00
00
01
10
10
00
00
00
00
00
00
01
00
10
00
00
10
01
11
11
10
01
10
10
00
00
10
11
01
00
10
00
10
00
11
11
00
00
10
01
01
11
10
00
10
10
00
11
00
00
01
10
10
00
00
00
01
00
11
01
10
10
11
00
10
00
00
10
11
11
00
00
10
11
01
00
11
01
00
00
10
10
10
10
01
10
00
00
10
01
00
10
10
11
00
10
00
00
01
01
01
10
00
00
10
11
10
00
00
00
10
10
10
00
00
00
10
00
10
00
01
10
01
00
00
01
00
00
10
10
10
11
00
01
11
11
11
10
00
00
10
00
01
01
00
01
00
00
00
00
11
10
11
10
00
00
01
01
00
00
10
11
01
10
11
00
11
10
11
01
11
10
10
11
00
11
11
00
00
10
11
01
10
10
11
10
00
00
10
10
00
00
11
10
01
11
10
00
10
11
10
11
11
11
11
00
11
10
10
00
10
11
00
00
10
00
00
10
00
01
00
10
11
11
10
10
00
01
00
11
00
01
00
10
10
10
00
01
10
00
11
11
01
10
10
10
00
01
00
00
11
11
01
01
11
10
10
00
00
00
11
11
00
11
10
00
01
10
11
00
00
10
01
01
11
10
00
11
10
00
00
10
10
00
11
11
10
00
00
01
10
10
10
00
01
10
11
10
11
00
00
00
01
00
10
10
10
00
10
00
01
10
10
10
01
01
00
10
10
00
11
01
00
10
00
10
00
01
10
01
01
11
10
01
10
11
01
00
11
11
11
00
00
10
01
01
01
01
10
11
11
11
11
10
00
01
11
11
10
00
10
00
00
10
10
00
00
10
00
11
00
01
01
10
10
01
00
10
00
00
00
11
10
00
00
10
01
10
00
00
10
11
11
10
10
01
10
01
00
10
10
00
11
10
10
01
00
10
00
01
01
01
10
10
00
00
01
10
11
11
01
00
10
11
01
11
11
10
10
11
00
11
00
01
10
11
11
00
00
00
00
11
01
11
10
00
00
00
10
01
00
10
10
00
11
11
00
10
01
01
00
10
01
10
00
01
00
10
00
00
10
00
00
00
11
00
10
00
00
10
10
10
11
10
11
01
10
01
01
11
10
00
00
11
11
01
00
10
01
10
00
00
01
10
00
00
11
00
00
00
00
10
00
00
10
00
01
00
10
00
11
00
11
11
00
10
01
10
00
00
10
10
10
00
00
10
10
00
10
10
00
00
01
01
10
00
10
10
00
01
11
10
00
01
00
00
00
01
11
10
01
00
01
01
11
11
11
10
11
10
00
01
00
10
00
00
11
00
10
00
11
10
01
01
10
00
00
10
01
00
10
10
01
10
10
10
11
10
00
00
10
10
10
00
00
00
10
10
11
00
00
10
01
01
00
10
10
10
00
00
01
10
10
00
00
11
00
01
11
01
01
00
00
10
10
00
00
10
11
11
00
00
01
10
10
10
00
01
01
11
10
00
10
00
10
10
00
00
01
10
10
10
11
10
10
11
01
00
11
10
01
00
10
00
00
10
11
10
00
00
11
10
00
00
10
01
00
01
10
11
00
01
11
10
11
01
10
11
11
00
11
10
01
00
01
10
11
01
00
10
10
00
10
00
01
10
01
11
10
10
10
10
01
00
10
00
00
10
10
00
11
11
00
00
01
11
10
01
10
11
10
01
00
10
10
01
00
00
00
11
00
00
10
00
10
10
10
00
00
10
10
11
10
10
11
10
10
10
10
01
10
01
00
10
00
01
10
01
00
10
10
01
00
00
10
01
00
11
00
11
10
01
00
10
10
00
00
10
10
00
00
10
01
01
10
10
10
11
01
10
00
11
10
01
10
00
10
00
11
11
01
11
00
00
10
00
00
10
10
01
00
00
01
10
10
00
00
10
00
11
10
00
00
10
10
11
00
10
11
10
01
10
10
10
10
00
00
01
10
00
10
11
10
00
11
10
10
00
00
01
01
11
10
00
00
10
11
01
00
10
00
11
10
01
01
00
01
10
10
01
11
10
10
10
00
00
11
11
00
01
10
01
01
10
10
10
00
01
00
00
00
10
10
00
00
11
10
10
10
01
10
10
10
00
00
11
11
10
01
01
10
11
00
11
10
01
00
00
11
00
11
10
00
01
00
01
00
10
10
01
00
01
10
10
01
00
01
00
01
00
00
10
11
01
00
01
01
00
11
01
10
11
01
00
10
11
01
00
10
10
00
01
10
10
00
10
11
10
10
00
00
10
10
11
00
10
10
11
00
01
01
10
00
10
01
10
00
00
10
00
00
11
01
10
10
01
10
10
11
11
01
10
10
10
11
00
00
00
10
00
01
11
10
00
00
10
10
00
11
10
10
01
10
10
01
00
10
00
00
00
10
10
10
10
00
10
10
01
00
10
10
10
11
00
10
00
10
10
10
00
01
10
10
00
00
10
00
10
00
00
11
00
00
00
00
00
10
10
10
00
01
00
10
10
10
10
10
11
00
11
10
10
00
11
01
00
11
11
00
00
00
10
00
00
11
01
00
01
01
01
01
00
10
11
01
00
01
10
10
10
00
00
10
10
11
01
11
00
10
00
10
11
00
01
10
11
11
01
01
11
00
01
10
11
00
00
00
10
10
10
00
00
00
11
10
11
00
11
10
01
11
11
00
00
00
10
10
00
00
11
11
10
10
10
01
01
01
11
01
01
01
10
00
00
10
10
10
11
00
01
10
10
11
10
10
10
10
00
11
10
01
10
11
00
00
10
00
10
10
01
00
10
10
00
01
10
10
00
01
10
10
00
10
10
10
10
00
01
10
00
10
11
11
00
10
00
00
01
00
10
01
10
00
10
01
10
10
00
11
00
01
00
01
00
00
10
01
00
10
10
00
01
10
00
10
00
10
00
10
10
00
10
00
10
01
10
00
10
00
00
00
10
10
10
01
00
10
10
10
01
10
11
01
00
00
00
00
01
00
00
11
10
10
10
10
10
00
00
00
00
11
00
01
01
01
10
11
01
01
10
01
10
10
11
01
10
10
00
00
11
00
00
00
01
10
00
01
10
00
00
11
00
00
11
00
00
10
10
10
00
00
10
10
10
00
11
10
01
00
10
10
01
10
00
10
11
00
11
01
00
00
01
11
10
11
10
10
00
10
10
00
10
00
01
11
11
00
01
10
11
00
10
10
00
00
10
10
00
10
01
00
10
10
00
11
01
10
11
11
00
10
00
00
00
10
10
10
11
00
11
11
10
00
10
00
00
01
10
11
00
00
11
11
10
01
11
01
10
10
01
00
10
10
01
01
00
11
10
00
10
01
00
11
11
01
00
01
00
11
01
01
00
00
10
10
10
00
01
00
11
10
01
10
11
00
00
10
10
01
01
10
10
00
00
00
11
11
00
01
11
00
10
00
00
10
10
01
11
00
10
00
10
00
10
11
00
00
10
11
10
10
10
01
00
00
10
11
00
01
10
11
10
01
00
10
00
10
10
00
00
10
10
00
11
00
10
10
00
00
00
10
00
00
11
10
00
01
11
10
00
00
10
01
10
00
01
10
00
00
11
11
11
11
00
01
00
11
10
01
11
10
01
00
00
10
10
00
00
00
11
01
10
00
10
10
00
10
01
10
10
00
11
01
00
11
10
10
10
10
10
10
10
00
11
00
01
11
11
01
11
01
11
10
00
10
10
01
01
11
00
00
11
00
11
10
10
00
00
00
10
11
01
00
10
00
10
10
01
01
11
01
00
11
01
11
11
00
01
11
00
11
00
00
10
10
01
01
01
11
11
10
11
10
11
01
00
10
01
00
10
10
10
00
00
01
00
10
00
11
10
00
10
10
00
00
10
10
00
00
10
01
00
01
10
11
10
10
10
00
10
00
10
10
00
10
10
10
00
10
10
11
10
00
00
10
11
00
01
00
11
11
10
00
01
00
00
10
10
10
00
10
00
00
00
10
11
10
01
00
00
00
00
10
00
00
10
01
00
10
10
11
00
10
00
01
11
10
11
11
10
10
11
10
01
01
10
00
00
00
11
10
01
10
10
00
00
10
01
01
11
10
10
01
10
00
01
10
10
11
10
01
00
00
10
10
00
00
01
00
10
10
00
10
10
10
01
00
11
00
10
10
10
00
00
10
10
01
10
00
10
00
00
10
11
00
00
10
01
00
10
10
01
10
10
10
10
10
01
00
01
11
11
10
00
00
10
01
00
10
10
11
01
11
11
00
11
00
11
10
00
00
01
00
10
01
00
00
10
10
01
11
10
00
00
10
10
10
10
00
10
10
11
10
01
10
11
01
11
01
00
00
10
11
00
00
01
00
11
11
10
11
01
00
10
00
01
01
11
10
10
00
10
01
11
10
01
01
00
01
10
00
01
01
00
10
10
11
11
01
10
01
01
10
10
00
10
01
00
10
01
10
10
00
10
10
01
10
10
01
10
10
10
11
00
01
10
11
01
00
00
00
11
10
01
00
11
01
01
10
10
00
01
00
00
00
10
10
10
00
10
10
11
01
01
00
10
00
00
11
01
10
01
00
01
11
10
11
00
01
10
10
01
00
00
11
10
10
00
01
10
10
10
00
10
10
10
01
10
00
10
01
10
11
00
10
10
00
01
01
00
10
10
00
00
00
01
11
10
11
10
00
10
10
00
10
10
00
10
11
10
11
00
10
00
01
00
11
00
10
00
11
10
00
00
00
10
11
10
00
10
10
01
10
01
10
01
00
00
11
10
00
00
00
10
11
10
11
00
00
00
01
00
00
10
01
00
10
00
10
10
01
10
10
11
00
00
11
01
00
01
10
10
10
00
01
00
11
00
11
00
00
00
10
00
01
10
11
10
00
11
10
01
10
00
00
00
01
00
01
10
00
10
01
00
11
10
10
11
10
00
01
10
11
00
00
10
10
10
01
00
10
11
00
10
11
10
00
00
10
01
11
11
10
10
01
10
00
10
01
00
11
10
00
11
10
00
00
00
10
10
11
10
01
10
10
00
01
10
10
10
00
10
11
00
10
11
01
00
01
10
10
10
01
10
10
10
01
10
01
11
10
11
00
10
11
00
01
00
01
00
10
01
00
10
00
00
10
11
10
11
10
11
01
10
11
00
00
11
00
00
00
10
00
11
10
00
10
01
10
10
10
10
00
00
00
11
11
01
10
00
11
00
11
00
01
10
00
01
00
11
10
00
00
01
00
01
01
10
10
11
11
00
01
11
10
10
00
01
10
10
00
10
10
00
01
01
01
11
00
00
10
10
10
00
00
10
11
00
11
10
10
01
11
10
10
10
10
11
01
00
00
10
11
10
00
10
00
00
01
10
10
00
11
10
10
11
00
00
10
10
00
10
10
11
01
10
01
00
00
01
01
00
10
10
01
00
11
10
11
01
11
11
01
00
00
01
10
11
01
00
10
00
10
11
00
01
10
00
01
11
10
10
11
10
10
00
00
11
00
01
10
01
01
10
00
01
01
10
01
00
10
00
11
00
00
00
10
01
00
00
00
10
01
01
11
00
00
10
01
00
11
00
10
10
10
10
00
00
11
10
01
10
01
10
10
10
00
00
10
00
00
10
10
00
10
11
10
10
00
10
00
11
01
00
10
01
10
11
01
01
00
10
00
00
10
10
10
00
01
11
01
00
01
00
11
11
11
11
00
00
10
10
00
00
10
01
01
10
00
01
10
11
00
10
11
11
01
00
00
11
01
11
10
10
00
00
11
11
00
00
10
01
10
00
10
00
10
11
00
00
00
01
00
10
10
00
11
10
00
00
10
00
10
10
00
10
10
11
10
00
00
11
10
10
10
01
11
10
01
00
11
11
00
00
10
11
00
10
10
10
00
10
01
00
10
11
10
10
10
11
00
00
10
00
11
00
01
00
00
11
00
10
10
10
00
10
01
00
10
00
00
10
00
00
00
10
01
00
10
01
00
11
01
00
10
00
00
10
01
00
11
10
10
10
00
00
01
01
10
00
00
11
10
01
00
00
10
11
01
10
00
00
01
10
11
00
10
10
11
10
01
11
10
01
10
00
00
00
10
10
01
01
00
00
10
10
00
10
10
01
00
10
11
00
10
11
10
10
00
11
10
01
00
11
10
00
10
10
10
00
01
11
10
10
00
00
11
00
00
00
00
10
01
01
10
11
10
11
11
10
00
00
10
00
11
11
00
10
01
00
11
01
00
10
00
01
00
01
10
00
00
00
10
10
10
01
00
10
00
10
01
10
11
01
10
10
01
10
10
00
11
00
01
00
01
00
00
10
10
10
10
10
00
11
10
10
00
00
11
10
00
10
10
00
00
10
00
00
11
00
00
11
01
01
11
10
11
01
10
11
01
00
00
10
10
00
00
00
11
11
11
11
00
10
01
00
10
00
11
11
01
00
00
00
10
10
00
00
00
00
01
00
11
10
10
00
10
00
10
00
00
00
10
10
00
01
10
10
01
01
01
01
00
00
00
11
10
01
00
10
10
00
00
10
10
11
10
00
11
00
00
00
10
10
10
01
01
01
11
01
10
01
11
10
10
00
01
00
10
10
00
10
11
00
00
00
00
10
10
10
00
00
00
00
11
01
00
00
00
00
00
00
10
01
10
10
01
11
01
01
11
11
10
01
01
01
11
10
10
00
00
00
10
10
00
11
10
10
10
00
00
01
10
01
11
10
10
01
11
10
11
01
00
11
11
01
11
11
00
10
00
01
00
11
11
00
10
10
00
10
01
00
10
10
01
10
01
10
00
00
00
10
00
10
11
11
11
01
00
10
00
10
10
00
01
11
10
01
01
10
00
10
11
10
10
00
10
10
10
10
01
11
01
11
10
10
11
00
00
00
10
10
11
01
10
10
00
00
00
00
10
10
11
00
01
00
00
10
00
11
00
01
10
11
11
00
01
11
10
00
00
00
11
11
01
10
00
11
01
10
00
01
00
11
00
10
00
10
10
00
01
10
00
01
10
00
11
11
00
10
11
00
01
00
00
10
10
00
10
11
00
00
10
10
00
00
10
00
10
11
11
10
10
11
10
01
01
11
00
10
00
10
00
00
10
10
10
01
10
00
00
11
10
10
00
10
11
00
01
10
10
00
01
00
11
10
01
10
10
00
00
10
10
11
00
00
00
00
11
11
00
00
10
01
11
11
10
00
01
11
11
10
11
01
11
11
11
00
11
00
10
11
00
00
00
00
00
10
11
00
00
10
01
10
01
11
10
10
00
01
00
00
11
11
10
11
00
00
10
00
00
00
10
10
10
00
01
10
11
10
10
10
11
00
00
00
00
10
11
11
10
10
10
00
00
11
10
00
01
00
10
00
10
10
10
00
11
11
00
00
01
10
10
00
11
11
00
00
00
10
10
01
00
10
11
10
00
11
10
10
10
00
00
01
10
00
01
10
00
10
11
10
00
01
01
10
11
00
10
11
10
11
00
00
10
11
00
00
10
10
00
10
00
00
11
00
10
11
00
00
11
11
11
10
00
00
10
10
00
10
10
11
10
01
00
00
11
01
10
00
10
10
10
00
00
10
01
10
10
10
10
00
00
00
00
10
10
00
10
11
00
01
00
10
10
11
10
01
01
10
11
01
11
11
01
10
10
01
00
00
01
10
11
00
10
00
00
10
10
11
01
00
01
00
11
10
01
10
11
00
00
11
10
10
01
10
10
10
10
10
10
00
00
00
01
00
01
10
10
11
01
00
10
00
10
10
00
01
10
00
00
10
10
01
01
10
00
10
01
10
01
11
10
01
11
01
10
10
00
00
00
11
00
10
10
00
01
00
11
00
10
10
11
10
00
10
11
10
00
00
00
11
01
10
11
00
00
10
10
00
10
01
10
00
00
00
00
10
00
10
00
11
01
10
01
10
10
11
01
00
00
00
11
10
00
11
10
01
00
00
11
00
01
11
10
00
10
11
00
01
00
11
11
01
01
00
01
10
01
00
10
10
00
00
00
01
00
11
11
01
00
01
10
11
01
00
10
10
10
00
10
10
00
10
00
01
10
10
00
10
10
00
00
10
10
00
10
00
01
00
01
10
10
01
01
00
00
00
11
11
10
00
10
10
01
10
00
00
10
11
11
10
00
00
10
10
10
00
01
10
00
00
10
11
00
11
10
01
00
00
11
00
11
10
00
01
11
10
10
11
00
10
11
11
01
10
01
00
00
01
10
00
00
11
10
10
10
11
01
11
00
00
01
10
10
01
10
10
11
01
00
11
00
11
10
00
01
11
10
01
11
10
11
01
01
11
11
00
00
00
10
10
10
00
00
11
10
00
01
10
01
01
01
11
01
10
10
10
00
10
10
01
00
11
10
10
10
11
10
00
10
10
00
00
00
11
11
01
11
01
00
11
10
00
01
10
11
01
00
10
10
00
00
00
10
01
11
00
10
01
10
01
00
00
10
00
01
10
11
00
00
10
00
00
00
00
11
10
00
00
10
01
00
10
10
00
00
10
10
10
11
00
00
10
10
01
00
10
01
01
00
00
10
10
00
00
10
10
01
10
01
10
10
00
00
00
10
00
00
01
10
00
10
01
11
11
00
00
10
10
00
01
10
00
10
10
10
10
00
01
11
10
00
10
10
00
01
10
00
00
10
10
00
00
10
10
10
11
00
00
11
01
00
01
00
10
11
01
00
00
01
10
10
00
10
11
00
00
00
10
10
00
01
00
00
00
00
00
00
00
10
00
10
00
00
00
00
11
10
11
00
01
10
11
00
00
10
00
10
01
00
00
00
00
11
11
01
10
11
11
01
10
01
01
10
00
00
10
10
00
00
10
00
11
10
00
00
01
10
10
10
00
11
10
01
10
11
11
10
10
10
11
01
01
10
01
00
10
10
00
10
11
10
10
10
01
00
00
00
10
01
10
01
11
10
00
00
10
00
11
10
11
00
00
10
00
10
10
00
01
10
10
10
01
00
11
10
01
01
00
11
11
00
01
10
11
10
10
01
11
00
00
10
11
10
10
11
00
01
11
00
11
00
00
00
11
10
01
11
10
00
11
00
01
01
10
01
11
00
01
01
10
10
01
01
11
00
00
10
00
11
01
10
11
00
01
11
10
00
11
11
00
10
01
10
00
10
10
00
00
10
10
00
00
10
00
01
10
00
01
00
01
01
01
10
11
00
11
00
01
01
11
10
00
00
11
10
01
00
11
10
00
01
11
10
00
10
10
10
10
11
10
01
00
10
00
10
10
01
01
11
00
11
00
00
10
10
01
10
10
00
11
10
00
00
00
10
00
00
10
10
01
00
10
11
00
10
00
10
00
11
00
01
01
10
10
00
10
10
01
10
01
11
10
10
11
00
01
00
10
11
01
00
00
01
10
00
01
11
10
10
10
00
10
10
10
00
00
10
10
11
00
10
11
10
10
10
10
11
10
11
10
11
00
00
00
11
11
00
00
01
00
10
10
10
00
00
11
10
01
00
11
01
10
11
01
10
11
00
01
00
10
11
10
10
00
01
10
00
10
10
10
00
00
00
10
10
00
10
11
01
01
11
00
11
10
01
00
11
10
00
11
00
00
11
00
11
00
10
11
00
00
10
10
00
10
10
00
00
00
10
00
00
00
10
10
10
11
11
10
01
10
00
00
11
01
00
11
10
10
11
00
00
10
10
01
00
10
10
00
10
01
00
10
00
00
01
00
11
00
01
10
00
00
10
01
00
10
10
11
01
10
01
00
10
10
11
10
00
00
10
11
00
10
11
01
10
00
10
10
10
01
00
00
00
00
00
00
00
00
10
00
11
10
01
11
11
00
01
01
10
01
10
11
00
01
10
01
00
10
11
00
00
11
10
00
11
00
00
00
11
11
00
00
10
10
11
00
01
10
10
10
01
01
01
01
11
00
00
10
00
01
10
10
10
00
00
00
11
01
10
11
11
10
00
10
00
00
00
10
00
00
00
10
10
10
01
00
00
10
00
01
10
00
00
00
10
10
00
00
10
00
10
10
00
01
10
11
10
10
10
10
10
00
00
01
00
01
10
00
00
00
01
10
00
11
10
00
11
01
10
11
10
00
01
11
10
10
00
01
01
00
10
01
00
00
00
10
00
11
00
01
00
00
10
11
00
10
11
01
11
01
10
01
00
10
10
00
00
10
00
00
11
11
11
00
00
10
11
11
00
11
10
00
01
00
11
00
01
10
01
00
10
11
00
00
11
00
01
00
10
00
01
10
00
10
10
10
00
10
10
00
01
00
10
11
11
11
01
10
01
00
11
10
01
00
10
10
11
01
00
00
10
10
10
01
10
10
00
00
00
00
11
10
00
00
10
10
10
01
10
11
00
00
01
11
10
01
00
11
00
00
10
10
11
00
01
01
01
10
11
10
00
11
10
00
11
10
00
10
10
00
00
10
10
01
00
00
10
10
01
00
01
10
11
00
01
00
00
10
11
00
00
10
10
00
11
00
00
11
00
00
01
00
11
10
10
10
00
11
11
01
00
10
11
00
01
00
01
00
10
10
00
10
10
00
10
11
10
01
10
11
10
10
00
01
11
00
00
11
11
00
10
01
01
00
10
01
01
10
00
00
11
11
00
10
10
10
00
11
11
10
00
00
11
01
01
11
01
00
10
01
10
01
00
10
11
00
10
00
01
10
00
10
00
11
00
00
10
10
00
00
10
10
00
11
00
10
11
10
00
01
00
10
01
00
11
10
00
01
01
10
10
10
01
01
00
10
10
10
10
10
10
00
00
01
01
11
00
10
01
10
10
01
01
11
10
10
00
10
10
11
00
00
00
11
00
00
10
00
01
10
11
01
10
10
00
10
00
11
00
11
00
01
10
10
00
10
10
00
00
00
01
10
00
10
11
01
00
10
11
10
00
00
11
01
00
10
00
11
00
10
10
10
00
00
00
00
00
10
01
00
10
10
00
10
10
00
00
01
01
10
10
10
01
00
11
10
10
11
11
01
00
01
00
00
01
10
00
00
10
10
01
00
01
00
10
00
01
00
00
10
10
00
00
11
10
11
00
11
00
11
00
01
11
10
10
01
10
11
10
01
00
11
10
00
11
00
01
10
10
00
00
00
10
10
00
00
10
10
01
00
11
10
11
00
10
00
10
10
01
00
01
00
01
00
10
00
10
00
00
11
10
10
00
00
00
10
10
00
01
00
11
01
10
11
10
01
00
11
10
00
11
01
00
10
10
10
01
10
11
00
01
11
10
01
10
10
00
00
00
11
11
01
00
01
00
10
10
01
00
00
01
11
00
10
00
00
00
00
10
10
11
00
00
00
01
00
01
00
10
11
00
00
00
00
00
00
01
11
10
00
00
10
10
01
00
00
10
10
11
00
00
01
11
10
10
00
00
11
00
11
00
01
10
10
00
00
10
11
11
01
11
01
00
00
01
01
10
01
00
11
10
00
01
01
00
10
10
10
00
10
10
00
11
11
00
10
01
11
11
11
00
10
11
10
00
00
00
00
00
00
10
01
10
10
00
00
10
11
10
00
11
10
01
00
00
01
00
00
11
10
11
00
10
00
00
00
10
01
00
11
00
11
11
00
00
10
10
01
11
00
10
10
00
00
01
10
00
10
01
10
10
10
10
11
00
10
10
11
01
00
00
10
11
00
10
10
01
01
10
10
10
11
00
10
10
00
00
10
00
10
10
00
01
00
10
11
10
11
11
10
10
00
01
00
01
10
11
00
00
10
10
10
00
00
11
11
10
10
01
00
10
10
00
10
00
00
11
10
01
01
10
01
01
01
00
10
10
11
11
01
10
00
01
00
01
10
10
01
10
10
00
11
10
10
01
00
00
00
10
11
00
00
00
00
01
10
01
11
10
01
00
11
10
10
00
00
10
11
10
00
10
00
00
10
10
01
00
01
10
10
00
10
00
00
10
10
00
11
10
10
00
00
00
00
01
00
01
10
11
10
10
10
10
10
01
10
01
10
00
10
00
11
11
10
10
00
00
01
00
00
10
11
00
01
10
11
00
01
10
00
00
00
00
11
00
01
01
00
01
00
10
10
00
00
10
11
00
01
10
01
10
10
10
01
01
11
10
11
01
01
10
11
00
00
00
10
01
00
11
10
01
00
00
10
10
00
00
10
10
00
10
01
00
00
11
11
11
11
10
10
00
00
00
00
10
10
00
01
01
01
11
00
11
01
10
10
11
00
10
11
01
10
00
10
00
01
10
11
01
00
00
11
10
10
00
01
01
00
10
11
11
10
00
11
10
10
00
00
10
10
00
00
10
01
10
00
01
11
11
00
10
00
10
10
11
01
01
10
01
00
01
01
11
10
01
00
11
10
01
00
10
00
00
10
10
00
00
10
10
01
10
11
10
00
01
01
00
11
00
10
10
10
00
01
10
10
10
11
10
01
01
11
01
11
11
10
00
01
00
10
11
00
00
00
11
10
00
00
10
00
01
11
00
11
00
11
10
10
10
01
00
11
01
00
00
10
10
00
01
10
10
00
00
00
10
10
00
01
01
00
11
10
00
10
10
11
00
00
10
00
10
10
00
10
00
00
00
00
01
01
10
11
00
10
10
00
10
01
11
11
00
01
10
01
00
11
10
01
11
10
00
00
11
10
00
10
00
00
00
01
10
00
00
10
00
00
01
10
10
01
00
00
10
01
10
00
00
10
11
00
01
10
00
00
11
01
10
01
00
11
10
01
10
10
01
00
01
10
11
01
01
11
10
11
01
01
10
00
00
10
11
01
11
00
10
10
00
11
11
11
00
10
10
01
10
00
00
11
10
00
11
10
10
01
10
00
01
00
00
10
11
00
11
00
10
00
11
10
01
10
11
01
00
01
10
01
00
00
10
10
10
01
00
11
00
00
11
01
10
01
10
10
00
00
10
11
00
00
10
11
00
10
11
10
00
00
10
00
11
01
00
00
11
00
10
11
10
11
00
00
00
10
00
01
10
10
00
00
11
10
10
00
01
00
10
10
10
10
01
01
11
00
00
10
00
10
10
10
00
10
10
10
10
00
00
10
01
10
00
11
01
00
11
10
01
11
11
00
00
00
11
10
00
10
10
00
00
01
10
10
10
10
11
11
01
00
01
10
10
00
01
01
10
01
00
11
10
00
00
10
10
00
11
11
10
10
10
10
00
00
01
10
11
00
11
10
00
01
11
00
00
00
10
10
01
00
10
10
01
00
00
00
10
10
00
01
11
10
00
00
10
10
10
00
01
10
10
10
11
01
00
00
10
01
00
00
10
10
10
00
00
10
00
11
10
00
11
10
10
00
00
10
10
00
00
10
10
11
00
01
00
00
00
11
10
00
00
10
01
01
00
00
00
00
11
10
00
10
10
11
10
00
01
11
11
01
00
10
01
00
00
10
10
00
10
10
00
10
10
10
10
10
10
01
11
11
00
10
00
10
01
10
00
10
10
01
01
10
10
00
10
11
11
10
00
01
01
01
00
11
01
00
11
10
10
10
11
00
00
01
10
00
00
00
00
01
10
10
10
01
01
10
01
10
10
00
11
00
01
11
01
11
10
00
00
00
10
10
01
00
10
10
10
10
10
11
01
00
10
00
10
00
01
00
00
10
11
10
11
10
00
10
10
11
00
00
10
10
11
10
10
11
00
11
01
10
00
01
00
10
00
00
00
10
10
11
00
01
00
11
00
11
01
11
01
10
01
00
10
11
00
01
11
00
00
00
11
01
11
10
01
10
01
10
00
00
10
10
10
11
01
00
11
11
00
00
00
10
00
10
10
00
00
11
11
11
00
01
00
11
00
00
00
10
00
10
11
00
00
00
00
01
11
00
10
00
10
00
10
10
01
00
10
10
10
00
11
11
10
00
00
00
00
00
10
10
11
01
00
10
11
01
00
11
10
01
11
10
01
00
01
00
11
10
00
00
11
10
00
10
10
11
00
01
01
10
11
01
11
00
00
10
11
00
01
10
10
00
01
00
10
00
00
00
10
10
00
11
00
00
01
01
00
10
00
10
00
10
01
00
00
00
10
00
01
00
10
11
00
00
00
10
10
11
00
00
00
00
10
00
00
10
11
10
11
10
00
11
00
10
00
01
11
00
00
00
00
11
00
00
10
00
00
11
10
11
11
00
01
10
10
10
00
01
11
11
01
01
11
00
00
01
11
00
01
11
10
11
00
10
10
10
00
11
10
00
11
10
11
00
10
10
00
00
01
10
00
11
11
01
00
11
11
00
10
10
10
00
00
10
10
00
01
11
10
10
11
10
00
10
01
00
10
00
10
10
00
01
11
00
00
10
00
10
10
10
10
01
10
10
01
10
00
01
00
10
10
00
01
00
00
11
01
10
11
00
11
01
00
10
10
10
00
00
10
10
00
00
00
10
10
10
00
10
10
10
00
00
00
11
01
01
11
11
11
00
00
00
10
10
01
00
10
10
10
11
00
10
10
11
00
11
00
10
00
00
11
00
00
10
10
00
00
00
10
10
00
11
10
10
00
10
01
10
00
00
00
10
01
10
10
00
00
10
00
10
10
00
00
11
00
00
00
00
01
00
10
00
11
10
10
01
00
10
10
10
10
00
00
11
10
10
10
00
00
01
11
01
00
01
10
10
10
00
00
10
11
01
11
11
00
10
11
00
10
10
00
00
10
11
00
01
01
11
10
01
00
10
10
01
10
11
10
01
01
01
10
01
00
10
11
00
11
11
00
00
10
10
00
00
01
01
10
10
10
01
00
11
01
11
11
11
10
00
01
11
11
00
00
11
10
00
00
11
10
10
00
11
11
01
10
00
10
00
01
00
10
10
00
11
00
11
10
00
10
00
10
00
11
01
00
10
01
00
11
01
10
10
11
10
00
00
11
01
10
00
10
10
01
10
10
00
10
10
01
00
10
01
01
01
01
10
00
00
00
10
01
01
10
00
10
01
01
01
10
11
00
01
10
00
01
10
11
10
10
01
00
10
10
11
00
10
00
00
10
10
11
00
10
11
10
00
00
10
10
00
10
00
11
00
10
00
10
10
10
10
10
01
10
10
01
00
11
01
00
01
10
11
00
00
10
10
01
11
10
00
10
11
01
11
00
00
01
10
10
00
00
11
10
11
00
01
10
00
10
11
00
10
10
10
00
10
10
01
01
01
00
10
10
00
00
00
10
11
01
01
11
00
00
10
01
11
00
00
10
11
11
10
01
00
00
10
10
11
10
00
00
00
11
00
00
11
00
01
10
00
00
10
00
00
00
10
11
00
01
00
10
11
10
00
01
11
10
10
11
00
00
11
00
01
01
00
10
00
01
10
10
10
10
01
11
01
01
11
10
10
11
11
11
01
00
11
10
00
10
00
01
10
11
00
10
00
01
00
01
10
10
10
10
10
10
11
01
10
00
10
00
10
00
01
00
00
10
00
00
10
11
10
00
00
01
01
10
10
00
01
00
00
00
01
10
01
01
01
00
01
00
11
00
00
00
10
00
00
01
00
00
10
11
10
10
00
10
01
10
00
00
10
10
10
11
10
01
10
11
00
11
10
11
10
01
10
00
10
10
11
00
11
00
00
10
10
11
10
00
01
10
00
00
10
00
10
01
01
00
00
10
11
00
10
10
10
01
00
00
00
11
01
11
01
10
11
00
01
11
01
11
10
00
01
01
10
00
01
10
10
00
11
10
10
00
10
10
11
01
00
00
00
00
01
10
10
00
01
10
00
11
11
01
10
00
00
10
01
00
10
11
10
10
00
10
00
10
11
01
10
00
00
10
00
01
00
10
10
00
01
11
10
10
00
01
11
11
11
00
01
01
00
00
10
10
10
10
00
00
00
01
01
11
00
00
00
00
11
00
11
11
01
10
01
11
00
00
11
10
00
00
11
01
01
11
00
00
10
00
01
00
10
10
10
11
00
00
11
11
01
00
00
11
10
01
00
01
10
01
00
00
00
10
10
00
00
10
00
01
10
00
00
11
11
10
00
01
00
01
01
10
11
00
01
01
00
11
01
10
10
01
01
11
01
01
11
10
11
01
00
00
00
10
10
00
00
11
01
10
10
00
10
10
10
10
00
00
00
01
01
01
00
10
00
00
10
01
10
10
11
00
01
00
10
10
00
00
10
10
00
11
10
01
00
00
11
10
11
10
01
01
10
00
10
10
01
00
10
00
11
10
01
00
10
01
00
11
00
00
10
00
11
01
01
10
01
10
00
00
10
10
10
00
01
00
00
11
10
10
01
00
01
00
10
01
00
10
10
00
00
00
00
11
01
11
10
10
11
10
00
01
10
10
10
10
00
10
11
00
00
10
11
10
01
10
01
00
00
10
10
10
01
00
11
11
00
10
10
10
00
00
11
00
00
10
01
10
10
11
01
10
10
11
10
11
01
10
10
01
00
10
00
01
00
00
00
10
01
01
10
00
10
00
00
11
10
00
10
01
00
10
00
10
00
10
00
00
00
10
00
00
00
11
11
10
00
00
01
10
00
10
00
00
00
11
11
11
01
11
10
01
10
00
11
11
00
11
00
01
00
10
10
00
00
00
10
10
10
01
01
10
10
01
11
11
11
10
00
00
10
10
10
01
10
00
00
10
10
11
10
10
01
10
00
10
11
01
10
10
10
10
00
00
00
10
00
00
01
01
00
11
00
11
10
01
00
00
00
00
10
10
11
00
00
10
10
10
00
01
00
01
10
11
11
10
10
00
10
00
00
10
11
00
11
11
00
10
11
11
01
11
10
00
01
00
10
01
01
11
10
00
00
00
10
01
01
10
11
10
00
00
10
10
10
00
10
00
00
00
01
00
00
10
00
00
00
00
01
00
10
11
10
11
10
10
10
00
10
00
11
01
00
01
00
10
11
01
10
10
00
00
00
01
00
10
00
01
10
00
01
10
00
00
10
00
10
10
11
00
10
01
10
01
10
00
00
10
01
01
00
11
10
01
01
01
00
10
01
00
11
10
11
00
01
10
00
00
10
11
01
01
11
10
01
11
01
00
01
10
00
01
10
11
01
00
11
10
10
00
00
11
10
11
00
00
10
00
01
00
11
10
00
00
00
10
01
10
11
10
01
00
11
10
01
00
10
11
01
00
10
00
11
10
00
00
10
10
01
10
10
10
10
01
00
10
11
10
00
10
10
10
00
00
10
00
00
11
10
00
11
10
11
01
01
10
01
10
00
10
00
01
10
11
01
00
00
10
10
00
01
10
10
10
00
00
00
00
00
01
11
00
11
00
10
00
10
10
00
00
10
01
00
10
11
10
00
10
11
01
00
10
11
10
11
10
00
11
00
01
10
00
00
11
11
00
10
10
01
01
01
00
11
11
10
11
00
10
10
01
10
10
00
00
10
01
10
00
01
00
00
10
11
10
10
10
00
00
10
00
00
10
11
00
11
10
10
10
00
00
10
01
10
10
00
00
00
01
00
00
01
00
10
00
10
01
10
11
00
00
10
10
00
01
00
11
10
01
00
10
10
11
10
01
01
10
10
00
00
00
10
10
11
00
01
00
00
10
11
00
11
00
01
10
00
00
01
01
10
10
01
10
11
01
01
10
11
00
10
10
01
01
01
00
11
01
01
10
10
10
00
10
10
00
00
01
01
01
01
11
10
00
00
10
01
00
10
00
10
00
11
10
11
00
11
11
01
01
10
01
00
00
01
10
10
01
01
00
00
00
00
00
10
01
00
11
10
10
00
10
11
11
01
11
01
10
00
10
10
01
11
11
00
10
00
10
10
01
00
10
00
10
11
00
01
11
10
01
00
10
10
10
00
00
11
11
10
01
00
01
00
00
11
01
10
10
00
01
10
10
00
01
01
00
10
10
01
10
00
00
01
10
01
00
10
11
10
00
00
10
10
11
11
00
01
00
11
01
01
00
10
01
01
10
10
11
01
10
10
10
01
10
01
00
00
01
01
10
10
01
01
10
00
01
10
10
10
00
10
10
00
00
10
11
11
01
11
01
11
01
10
10
00
01
10
10
10
01
10
00
00
10
11
00
10
00
00
10
00
10
10
10
10
10
00
00
10
00
00
00
10
10
00
01
00
00
00
10
10
00
10
00
00
11
01
00
10
10
10
01
00
10
10
01
10
10
01
11
01
10
10
01
01
10
10
11
00
10
00
00
00
00
00
10
10
11
00
01
01
00
00
10
00
01
00
00
10
00
10
10
01
11
01
11
10
01
00
11
00
11
10
11
00
00
00
11
00
00
11
10
10
11
00
00
10
10
00
10
00
00
00
00
11
01
00
01
11
01
11
01
00
10
10
01
00
10
10
01
01
11
10
01
00
11
00
00
10
11
10
11
01
11
01
01
10
00
00
11
11
00
01
11
11
10
11
01
00
10
10
10
10
10
00
01
10
10
10
00
01
11
11
11
01
00
00
00
00
10
10
11
00
01
11
10
10
11
10
10
00
00
00
00
10
10
10
01
10
00
10
00
10
10
01
10
10
00
00
00
01
00
10
00
00
00
00
00
00
11
00
11
11
00
01
10
11
00
00
10
10
10
11
00
00
01
10
11
01
10
11
01
01
10
00
00
10
00
00
11
10
10
11
01
00
00
11
00
01
01
10
00
11
00
11
01
00
10
00
00
10
00
00
10
11
01
10
00
01
00
10
10
10
01
00
11
00
10
10
11
10
00
10
10
11
00
01
11
11
11
00
01
10
01
01
00
10
10
00
01
10
11
10
10
00
00
10
00
00
10
11
00
01
10
11
11
11
01
01
10
10
10
10
00
00
10
10
00
00
10
10
10
01
10
00
00
11
00
11
00
11
01
00
00
01
10
11
10
00
00
01
00
10
10
10
10
10
10
10
01
11
00
10
10
10
11
00
00
10
10
00
01
00
10
00
00
00
01
01
01
11
10
10
00
01
11
00
00
10
10
00
11
10
01
00
00
11
00
11
00
10
10
00
10
11
01
00
10
10
01
01
10
00
10
10
01
11
00
10
00
00
11
01
00
11
10
10
00
00
00
00
10
01
11
01
10
00
00
11
01
00
00
11
10
00
11
01
00
01
10
11
10
00
10
10
11
00
11
00
10
01
00
11
10
11
10
10
11
10
00
00
10
10
00
00
11
00
10
00
10
10
10
10
00
11
11
00
00
11
00
11
10
00
11
10
01
10
01
01
11
11
11
10
01
00
00
00
00
11
10
11
01
10
10
10
00
01
10
11
10
10
00
11
00
10
00
00
10
00
01
00
10
11
00
10
00
00
00
00
00
10
01
00
00
00
00
01
00
11
01
10
10
10
11
11
00
01
10
00
10
10
11
10
10
00
01
01
01
11
11
00
11
00
11
11
00
01
01
00
10
11
11
10
00
01
00
11
10
11
00
01
10
01
00
11
01
10
00
01
00
00
10
11
00
10
10
00
11
00
11
10
01
00
01
10
00
00
11
00
00
00
10
00
00
10
10
10
00
10
11
10
00
01
10
11
10
10
01
00
10
10
10
00
10
10
00
11
00
01
01
00
00
10
10
10
11
01
10
10
00
00
01
00
11
11
10
00
10
01
00
00
10
11
00
01
11
00
10
10
00
10
10
01
10
00
10
11
11
10
11
00
01
00
00
10
00
00
11
00
10
11
10
01
00
10
00
11
01
01
01
01
00
11
10
10
11
10
00
11
01
00
00
00
10
00
00
01
00
10
00
10
11
10
00
00
00
00
11
10
10
11
10
00
00
00
00
11
00
01
00
11
00
10
11
10
00
00
11
01
00
10
00
01
01
01
10
11
00
00
11
00
11
10
11
00
11
00
00
10
00
01
10
00
00
11
10
00
01
10
10
01
10
10
11
00
00
00
00
11
00
00
10
10
01
11
11
01
00
00
00
10
01
00
11
11
00
10
00
01
10
00
10
10
00
00
10
00
00
11
10
10
11
00
01
01
01
10
00
10
11
11
01
11
01
01
00
10
00
00
00
10
10
01
01
10
00
00
00
01
10
10
01
00
10
11
00
10
11
10
00
10
10
01
10
10
10
00
00
10
00
10
11
00
00
10
01
10
00
11
00
00
11
11
10
10
10
11
10
01
00
11
10
00
00
00
00
10
00
10
11
00
00
01
11
10
00
00
10
10
00
10
10
00
00
00
11
01
01
00
11
10
10
11
10
10
00
11
10
10
00
00
00
00
10
00
10
10
01
01
01
10
01
01
10
00
10
11
00
10
10
01
11
00
11
10
00
00
11
01
01
10
10
00
00
00
10
11
01
00
11
11
01
10
10
01
00
00
11
11
00
10
01
01
10
10
11
01
00
10
01
11
00
01
10
10
10
00
10
10
10
00
00
10
00
10
01
10
00
10
11
10
01
00
00
01
10
10
01
00
11
00
11
10
00
10
11
00
01
10
10
00
00
10
00
01
11
00
01
10
01
00
10
10
00
10
11
00
00
00
10
00
10
10
00
01
10
11
11
11
10
00
11
11
10
10
00
00
11
11
10
00
11
01
00
11
10
00
10
01
11
11
11
01
00
01
00
10
00
01
11
10
00
00
10
10
01
11
11
01
00
00
10
00
00
10
00
00
11
10
01
11
11
10
01
10
00
01
11
11
11
11
01
10
00
00
11
11
00
00
10
00
11
11
10
10
10
10
01
00
00
11
00
10
10
00
11
10
00
10
10
00
00
00
01
00
10
10
00
10
01
11
00
00
10
01
10
10
00
11
11
10
11
00
01
11
00
01
10
10
11
01
00
00
00
11
00
10
10
10
00
10
01
00
00
00
10
00
10
10
10
11
01
00
10
10
10
11
00
11
00
10
00
00
10
10
00
00
00
00
00
10
01
11
10
00
10
01
10
10
11
00
00
00
10
00
00
10
10
01
00
11
00
11
00
10
00
00
00
00
00
10
00
10
11
10
10
00
10
00
01
11
11
00
10
11
10
10
01
01
10
00
01
10
01
10
01
01
00
10
10
10
01
11
10
01
01
00
00
00
11
10
11
01
00
00
10
01
00
10
10
00
00
11
00
01
00
10
11
10
00
10
00
11
11
01
10
00
00
01
10
11
00
00
10
10
10
00
00
10
11
10
11
10
00
10
10
00
01
01
00
00
01
10
10
10
00
00
00
00
00
10
11
11
00
10
10
01
00
01
00
10
11
01
11
00
00
10
10
01
01
11
11
01
00
01
10
10
01
11
11
01
11
00
11
10
00
10
10
00
00
10
10
00
00
01
01
00
01
01
10
01
10
00
00
10
10
00
00
10
00
00
10
10
00
10
00
00
10
11
01
00
10
01
00
00
01
10
01
11
10
11
10
10
10
00
00
01
10
10
10
10
10
00
10
01
00
11
01
01
00
11
11
01
01
10
10
10
11
00
00
00
10
00
00
10
10
11
01
01
00
10
00
00
11
00
11
10
11
01
00
00
00
10
10
00
01
10
00
10
00
11
00
10
10
10
00
01
10
10
10
00
00
11
11
00
10
10
11
10
00
00
00
00
00
00
10
01
00
10
00
00
00
00
00
11
10
11
00
00
11
00
00
00
10
10
10
11
00
00
10
10
10
00
00
00
01
00
01
01
01
11
00
01
11
10
01
10
01
10
10
00
10
10
10
10
00
00
00
11
00
01
10
10
10
00
00
01
11
10
00
01
00
10
11
10
01
00
10
01
00
00
10
11
00
01
11
01
10
00
11
01
00
11
00
10
10
00
01
10
10
00
00
00
01
10
11
01
11
00
10
11
01
00
10
00
10
10
10
00
00
11
00
00
00
11
10
01
10
11
10
10
00
10
00
00
00
00
10
01
11
00
00
01
11
11
10
10
00
10
00
00
10
10
00
11
10
01
10
10
01
11
00
11
00
01
10
11
01
01
00
10
10
00
11
00
10
11
10
10
10
01
00
01
00
10
11
01
00
10
10
10
11
10
00
00
10
11
00
00
11
00
00
00
00
10
01
00
10
10
00
11
10
10
00
11
10
01
00
11
10
01
01
01
00
11
10
10
11
00
00
10
00
00
00
10
11
10
10
00
10
10
10
01
10
00
01
10
00
01
01
00
10
00
00
01
01
11
11
11
00
10
10
10
00
10
10
00
10
10
01
00
00
10
00
10
10
00
11
01
01
00
01
01
11
00
10
11
00
00
10
11
00
00
00
01
10
00
10
00
11
01
00
01
00
10
10
00
00
10
10
00
00
01
10
11
00
11
01
10
10
00
00
11
10
00
00
01
11
00
01
10
00
00
10
10
11
11
01
11
10
00
01
00
01
00
10
00
00
10
11
10
01
11
10
10
11
11
00
00
11
00
00
00
10
10
00
11
01
10
01
10
10
11
00
01
01
10
11
00
01
00
01
00
10
11
01
10
00
00
10
10
00
10
00
00
00
10
00
10
10
10
01
10
11
10
00
10
00
11
00
01
10
10
10
00
10
00
00
10
10
00
01
10
00
00
00
00
10
01
00
01
10
10
10
11
11
00
00
01
10
10
10
00
11
10
01
10
10
00
00
10
10
10
00
10
10
10
00
11
10
00
01
01
00
11
00
01
10
10
01
00
11
10
10
11
01
10
01
11
11
00
00
00
10
11
00
10
11
10
01
00
01
10
00
00
01
10
10
10
01
10
11
01
00
10
10
00
11
01
00
11
01
11
11
00
11
00
01
01
01
10
10
10
00
10
10
10
00
01
01
00
11
10
00
00
01
01
00
11
01
10
00
10
11
10
10
00
11
00
10
10
00
10
10
01
01
10
00
00
01
11
00
01
00
10
10
01
00
11
10
00
10
00
10
00
10
10
00
00
00
00
10
10
00
10
10
10
10
01
00
00
11
00
10
00
00
10
10
00
01
10
00
01
11
11
00
01
11
10
10
01
01
10
11
00
01
11
10
10
10
10
01
00
10
00
01
10
00
10
10
00
10
01
00
00
00
00
10
10
00
10
00
10
10
00
00
01
10
11
00
00
01
10
10
10
00
01
00
00
11
00
01
00
11
10
00
11
10
00
01
11
10
01
00
10
10
01
00
10
00
00
10
10
01
00
00
00
01
11
11
01
00
10
00
00
10
11
10
01
10
10
01
11
11
00
01
10
10
10
00
10
11
00
00
11
11
00
11
10
00
00
00
00
11
10
00
00
11
01
11
10
00
10
10
00
01
10
10
00
00
00
10
01
11
10
00
00
00
10
10
10
10
10
11
11
01
00
00
00
10
00
01
01
10
00
10
01
10
10
10
00
01
00
10
11
11
00
10
10
00
11
10
01
11
00
10
10
10
00
10
10
10
10
00
11
11
11
00
00
00
01
01
01
00
10
10
10
01
00
00
11
00
01
11
01
10
10
01
01
00
00
10
10
00
10
11
01
01
10
10
00
00
00
00
01
11
10
00
10
01
00
10
10
10
11
00
10
10
00
00
00
11
10
00
10
11
10
00
01
11
00
10
11
10
10
00
00
00
11
11
01
11
01
11
00
00
10
00
10
11
00
00
10
10
11
11
01
01
00
10
10
01
11
01
10
10
00
10
11
00
00
10
10
01
11
10
11
10
01
10
10
00
10
10
01
00
10
10
01
10
11
01
11
11
11
10
10
00
00
00
10
10
00
00
11
00
00
01
01
10
10
01
11
10
11
01
00
00
01
11
10
01
00
11
00
10
10
00
00
10
10
00
10
00
10
01
01
11
00
01
00
10
10
00
00
10
10
00
00
01
00
01
10
01
11
00
00
10
00
10
01
11
01
00
10
01
11
00
10
00
01
01
10
00
00
00
10
00
10
10
10
11
10
00
10
01
11
00
11
10
10
10
00
00
11
10
00
01
11
01
10
10
00
10
10
00
00
11
10
10
01
10
11
10
00
10
00
10
00
10
11
10
11
01
10
10
11
00
10
01
01
11
11
00
01
01
01
10
10
10
10
01
10
00
01
00
11
11
00
00
00
10
00
01
01
11
00
00
10
00
10
10
10
00
00
00
00
11
01
00
00
10
10
00
10
00
01
00
10
01
11
00
10
11
01
00
00
11
01
01
11
00
10
10
00
00
11
11
00
00
10
11
00
10
10
10
00
01
11
00
00
11
00
01
11
00
00
01
01
10
10
10
10
01
10
01
00
00
11
00
00
10
01
10
11
10
01
10
11
00
00
00
00
00
11
01
10
10
10
10
00
01
11
11
11
00
01
00
11
00
01
10
01
11
11
00
00
10
10
10
01
11
11
01
11
00
01
01
01
10
10
10
00
10
10
00
00
01
10
01
01
00
10
11
11
10
00
00
10
11
10
00
01
10
01
10
00
10
10
00
10
10
11
00
10
10
00
01
00
01
10
00
00
10
00
00
10
01
01
10
11
10
00
10
00
00
10
01
00
10
00
00
10
10
01
00
00
00
00
00
00
01
10
01
00
11
00
10
11
10
10
11
00
00
00
11
11
10
10
11
01
10
10
10
00
10
01
00
10
00
10
00
00
10
01
00
10
00
10
10
11
00
00
11
11
01
11
00
00
01
01
00
11
11
10
10
00
00
11
00
01
10
10
11
01
00
00
00
11
01
11
10
00
10
11
00
10
11
01
00
11
00
10
00
01
10
00
00
11
01
11
10
10
10
11
01
11
11
00
01
01
00
10
01
00
10
10
00
00
10
00
01
00
10
00
01
10
11
10
01
00
10
10
00
10
11
10
00
10
11
10
11
10
01
01
00
01
10
10
01
00
00
10
00
11
11
11
00
00
10
00
11
10
01
00
00
01
10
01
11
00
11
00
11
10
10
00
01
10
11
10
10
11
10
00
00
01
10
01
10
10
00
00
00
10
10
00
01
11
00
00
00
10
10
10
10
10
00
00
10
01
01
00
00
00
01
00
11
00
00
10
01
10
10
11
10
01
00
00
10
10
00
10
10
00
11
10
00
10
00
10
00
00
10
00
01
00
11
10
10
10
00
10
01
00
10
00
10
11
01
00
00
01
10
11
01
11
11
10
00
01
10
10
00
00
11
01
10
01
00
00
01
00
10
11
01
00
01
10
10
00
00
01
01
00
10
01
00
00
10
00
11
01
00
10
00
11
10
10
01
00
01
00
10
10
01
10
00
00
11
10
10
01
00
00
00
00
11
10
11
01
11
01
00
11
10
00
01
10
10
00
01
11
00
00
00
00
00
10
10
10
00
10
00
00
00
10
10
10
00
10
00
11
00
10
11
00
01
10
00
00
10
10
10
11
01
01
11
00
00
00
00
10
10
10
00
00
10
10
11
01
00
00
00
10
11
00
00
10
10
01
10
01
10
10
00
01
00
10
10
00
01
10
00
01
00
00
10
00
10
10
01
10
10
00
00
00
01
10
10
00
00
11
11
10
00
00
10
00
01
00
10
10
00
11
11
01
10
00
01
00
10
11
00
00
10
10
00
01
10
11
00
11
00
10
11
00
10
11
10
01
11
00
01
10
00
00
00
01
10
00
00
00
00
10
00
11
00
10
00
10
00
01
01
11
11
00
00
00
01
11
00
01
10
01
10
01
11
00
01
10
11
01
01
11
10
11
00
01
10
01
00
10
00
00
00
11
00
00
11
01
00
11
10
10
10
01
10
01
10
10
10
11
10
00
00
00
10
10
01
10
10
00
00
11
00
01
10
10
11
10
10
11
00
01
00
10
10
11
00
10
10
01
10
10
00
10
10
01
01
10
01
11
10
00
01
01
11
01
01
10
11
01
01
00
10
10
00
01
10
00
11
10
11
00
00
11
10
11
00
11
11
11
00
00
11
00
00
11
10
00
10
10
10
11
01
01
00
10
10
11
10
11
00
00
00
10
00
00
11
10
11
10
00
10
00
10
00
10
10
10
01
10
01
00
00
00
11
11
01
10
10
10
01
00
10
00
00
00
00
10
10
10
00
11
00
00
00
00
10
10
00
11
11
11
00
10
10
00
00
10
10
00
01
00
10
00
01
10
00
00
00
11
00
01
10
00
00
00
00
01
11
10
01
10
11
00
00
10
10
01
00
01
00
01
10
10
01
01
01
11
00
01
10
10
10
10
00
00
00
10
01
00
11
00
00
00
11
10
11
00
01
10
00
01
10
10
10
11
00
11
00
01
10
10
10
10
00
01
11
01
00
11
00
01
10
10
10
00
11
00
01
10
10
10
00
10
00
00
10
00
11
10
00
10
00
10
00
00
01
10
10
01
11
00
11
10
10
10
11
00
10
10
00
00
11
00
00
10
10
00
00
10
11
10
01
00
00
10
01
00
00
00
01
10
00
01
00
00
00
01
11
00
10
00
10
11
00
11
00
01
01
01
10
10
00
01
00
11
10
01
10
00
10
10
11
01
00
00
00
10
10
01
00
11
10
11
10
01
10
11
01
01
11
10
00
00
00
10
10
00
00
11
00
11
11
00
01
10
10
10
11
01
00
10
00
10
10
10
10
11
01
01
10
10
01
10
00
01
00
11
00
01
10
01
10
11
11
01
10
10
00
10
10
01
00
10
01
00
00
10
11
01
10
10
00
11
00
10
11
10
11
01
10
11
01
10
11
10
00
00
10
10
00
10
11
11
00
10
11
10
10
10
10
00
10
00
10
11
00
11
00
00
10
00
00
10
01
00
01
10
00
10
01
00
11
10
00
10
01
00
10
10
11
10
01
00
10
00
00
10
00
00
10
00
00
10
10
01
10
00
00
11
00
01
00
10
10
10
11
00
00
10
10
10
11
11
00
11
10
01
00
01
01
10
00
01
10
11
00
10
11
01
00
00
10
10
10
10
00
10
10
01
10
00
10
00
00
01
00
11
10
00
00
00
11
10
00
01
10
10
01
00
10
00
00
10
10
10
00
10
10
00
10
01
00
11
00
11
10
10
00
01
10
10
01
00
11
10
01
11
01
10
10
01
00
00
00
10
11
11
10
01
00
00
11
10
00
01
00
10
11
00
01
00
00
00
10
10
01
11
11
01
01
00
10
00
11
10
00
00
11
10
10
10
01
00
00
01
10
01
01
11
00
01
11
10
10
00
10
10
11
01
10
00
11
11
11
10
11
00
10
01
00
10
10
11
10
11
01
10
10
00
00
10
10
00
01
00
10
01
00
00
00
10
01
10
00
01
00
11
00
10
10
11
00
01
01
11
01
01
11
11
00
00
01
10
10
01
10
10
00
00
11
10
10
00
10
00
10
10
00
10
01
10
10
00
00
10
10
10
10
10
00
11
10
01
10
00
00
11
11
01
11
10
00
00
00
11
11
00
00
01
10
00
01
10
10
10
00
00
01
00
10
10
00
10
10
11
10
10
01
00
01
10
00
10
00
11
10
10
11
10
00
01
00
00
00
10
00
10
11
10
11
10
11
11
01
10
00
00
00
10
11
01
01
00
00
10
11
00
00
10
10
00
11
01
00
00
10
11
10
11
10
01
01
11
00
10
10
00
10
11
01
00
00
00
11
01
11
01
01
00
00
00
10
10
01
10
11
00
01
00
00
10
10
01
10
01
00
11
00
01
00
10
00
01
11
11
10
01
00
11
10
10
11
00
10
00
11
10
00
01
11
00
00
00
00
00
10
00
00
11
10
10
11
00
01
00
01
11
10
00
10
00
00
00
11
10
10
11
00
00
10
00
10
10
01
11
00
11
01
00
11
10
00
00
10
10
00
01
01
11
00
11
10
10
01
10
01
10
00
00
00
11
10
00
01
11
10
10
00
00
00
10
10
00
00
01
10
11
11
10
10
00
01
10
10
00
10
10
01
00
11
10
00
10
10
11
01
00
11
00
01
00
01
11
11
10
01
00
10
11
00
00
10
10
00
10
10
00
10
11
00
10
11
10
10
10
11
00
00
00
10
00
01
10
00
01
10
10
11
00
10
10
00
11
11
01
00
01
11
00
01
10
01
00
00
10
10
11
00
00
00
10
11
00
10
10
11
01
00
01
10
01
00
01
01
11
10
01
10
11
00
10
10
10
01
01
00
01
01
00
10
10
00
00
10
10
00
10
10
00
00
00
00
10
00
11
01
10
10
01
11
00
00
00
11
11
01
10
11
10
00
00
00
00
00
10
10
01
11
00
01
11
00
01
00
11
00
11
10
00
11
10
01
00
00
11
10
10
10
00
01
10
10
11
00
00
00
10
10
10
01
00
00
01
11
00
10
00
01
00
10
10
10
10
00
00
00
00
00
10
00
00
01
10
10
00
11
10
01
10
00
10
10
00
01
00
10
00
00
10
10
10
11
10
00
11
00
10
01
00
10
00
00
00
00
10
01
00
11
10
01
10
01
10
10
10
00
00
00
00
10
11
00
00
00
00
11
11
10
00
00
00
10
10
11
10
00
10
00
00
00
00
10
00
01
00
11
11
00
11
00
01
10
01
00
10
00
00
00
00
01
11
00
00
00
11
10
10
01
10
00
11
00
01
00
11
00
10
00
10
10
00
10
11
10
11
00
00
01
10
11
00
00
11
00
10
10
10
00
00
10
10
10
10
10
10
00
00
11
01
11
10
11
00
11
10
00
11
00
10
10
10
01
10
10
01
01
01
00
01
11
11
10
01
10
10
00
01
01
10
00
01
10
10
00
01
10
00
10
10
10
10
00
00
10
10
00
11
11
00
10
10
00
01
10
00
01
10
00
11
01
11
10
10
01
00
10
10
11
00
00
00
00
10
10
11
01
01
10
01
01
11
10
01
01
10
10
00
00
11
00
00
10
11
00
10
11
11
00
00
00
10
01
10
10
01
01
10
00
10
11
10
11
10
00
00
00
11
01
00
11
11
11
00
00
10
10
01
10
11
01
01
00
11
00
10
00
01
10
10
10
00
11
10
00
11
10
10
00
11
10
11
11
01
00
11
00
11
01
00
00
10
01
01
10
10
01
10
10
10
10
10
10
10
10
10
01
01
00
11
00
00
00
00
00
10
11
00
00
10
10
10
10
00
11
10
00
10
01
10
10
10
01
00
01
10
10
00
10
11
10
10
11
10
01
10
01
01
00
10
10
00
00
10
10
10
00
10
01
10
10
00
00
01
10
11
10
00
11
00
11
10
11
10
01
10
00
10
10
01
10
00
00
10
10
00
01
00
01
00
01
10
00
10
00
10
10
10
01
10
10
10
01
00
00
00
00
10
11
01
10
00
00
01
10
01
00
11
11
01
01
11
10
00
00
01
00
11
11
00
01
01
10
10
10
00
01
10
11
10
10
11
00
00
10
00
01
00
10
10
00
10
11
10
11
10
10
10
00
10
00
00
10
00
00
10
00
11
10
01
10
10
00
00
01
10
01
00
10
01
10
00
01
01
11
10
11
11
00
11
10
00
00
01
10
00
01
11
10
00
01
10
11
00
00
01
11
00
00
00
10
01
00
11
10
00
00
01
01
11
11
00
01
00
10
10
00
00
01
10
10
00
00
10
01
11
10
01
11
00
10
01
00
00
00
10
10
10
10
00
01
10
10
11
11
00
10
11
10
10
00
11
10
00
01
00
10
10
00
01
01
11
01
10
00
00
01
00
10
11
01
10
10
00
01
10
10
00
00
10
00
10
10
10
11
10
00
10
00
10
10
10
00
11
10
10
01
01
00
10
00
01
00
10
00
11
00
00
00
01
10
10
00
11
10
10
00
00
10
10
00
01
00
01
11
10
00
11
11
00
00
00
00
10
10
11
10
01
10
00
00
11
00
10
00
00
10
01
10
01
00
10
10
11
01
10
10
10
10
01
00
01
10
11
01
00
10
00
10
11
00
00
00
10
10
11
01
00
00
11
01
00
11
00
00
10
10
10
11
00
01
01
00
00
10
00
10
00
00
11
10
01
00
10
10
01
10
01
11
10
11
00
00
01
00
00
11
11
00
00
00
00
10
10
11
10
10
10
11
11
10
10
00
10
00
10
00
00
11
10
00
11
00
11
01
00
10
01
10
00
00
11
00
11
00
01
10
10
01
10
10
01
10
10
01
00
01
00
10
01
11
10
10
10
00
11
01
00
00
10
10
00
01
10
01
11
00
01
10
10
00
01
11
11
00
01
00
00
00
00
10
10
00
10
10
00
01
01
00
10
11
10
00
01
10
11
10
10
10
11
10
00
00
00
10
00
10
00
11
11
00
10
00
01
11
10
10
00
11
10
10
00
00
10
10
10
00
10
00
11
10
00
00
10
00
11
00
00
00
11
01
10
11
00
11
11
01
00
10
10
00
00
10
11
00
10
11
10
10
00
01
00
01
10
01
10
10
00
10
01
00
11
11
10
11
01
11
10
01
00
11
00
11
10
01
10
11
11
10
11
00
00
01
10
11
01
10
11
00
00
00
00
11
11
00
01
10
11
00
11
11
00
10
10
01
10
00
00
01
10
10
00
11
10
10
10
00
11
10
00
00
00
00
00
11
10
00
10
00
10
11
01
11
00
01
01
11
11
11
11
00
00
11
11
00
01
10
00
10
01
00
11
11
01
01
00
10
10
10
00
01
11
00
10
11
10
10
00
00
10
10
10
10
00
11
00
00
01
00
01
01
10
00
01
11
11
01
01
10
01
00
00
01
00
00
11
11
00
00
10
11
01
00
00
10
10
00
00
01
10
00
00
11
00
01
01
00
11
10
10
00
10
10
01
00
10
11
00
01
11
10
00
11
10
00
11
11
10
01
10
11
00
11
00
00
11
10
11
00
00
00
01
01
01
00
01
00
11
00
10
11
10
01
01
00
00
10
11
11
00
01
11
10
00
10
00
00
00
11
11
11
10
10
00
10
10
00
00
11
00
00
01
10
00
00
10
11
00
01
10
10
10
01
01
10
00
10
11
00
10
11
10
11
10
11
11
11
01
01
01
10
10
00
10
00
10
11
01
10
00
01
11
10
00
01
00
11
10
11
11
11
01
01
10
00
00
10
10
11
01
11
01
11
10
00
00
10
10
10
01
00
10
00
10
10
00
10
00
00
01
10
10
11
10
11
00
00
10
10
00
00
01
11
00
10
10
00
00
10
00
10
00
00
01
10
00
01
00
01
01
00
11
01
10
00
01
10
00
10
10
11
01
10
11
00
10
00
00
00
00
10
10
01
01
01
00
00
00
01
10
00
11
00
00
10
00
10
10
01
10
00
00
11
10
10
11
11
10
10
11
00
11
10
01
00
00
00
01
00
10
10
00
10
00
01
01
10
00
01
10
11
11
00
10
10
10
01
00
11
00
00
01
11
00
10
00
11
11
01
10
00
00
00
01
01
11
10
11
10
10
00
00
00
11
10
00
00
11
11
00
10
10
00
01
11
10
11
00
01
00
10
10
00
11
10
00
01
10
10
00
00
00
01
10
10
00
00
00
10
00
00
00
10
01
00
10
10
11
00
10
11
11
10
10
11
11
01
00
10
00
00
10
00
00
10
01
01
10
01
11
10
10
10
11
10
10
10
01
11
01
11
00
01
10
00
11
01
00
00
00
10
00
00
11
11
10
11
01
11
10
11
00
01
11
10
00
10
11
00
01
11
10
10
00
10
10
00
01
10
10
11
00
00
00
00
10
00
01
11
00
10
11
00
11
01
10
11
11
01
00
10
00
00
10
01
11
00
01
01
00
10
01
10
00
00
10
00
00
11
01
01
00
01
00
01
00
10
01
01
00
10
00
00
10
10
10
00
11
01
10
00
01
00
00
11
01
00
00
01
10
10
10
01
00
00
11
10
00
01
00
10
00
01
10
01
00
01
00
10
00
11
10
10
11
01
01
10
11
00
10
01
01
11
11
10
00
11
10
00
00
10
00
01
10
10
01
00
10
10
10
00
10
00
11
00
00
00
11
00
00
00
10
11
10
00
00
00
00
10
11
00
10
10
10
00
01
10
00
10
00
00
01
11
11
00
10
10
00
10
10
01
00
10
11
11
01
01
01
11
10
00
10
01
00
10
00
01
10
10
00
10
10
10
10
00
10
00
01
11
10
00
10
01
10
00
00
10
10
01
10
00
10
11
11
10
10
10
00
01
00
00
11
10
00
10
00
10
00
01
10
10
00
01
00
01
10
10
10
11
10
01
10
01
00
00
10
11
01
11
01
01
00
01
10
11
01
01
10
00
00
01
10
10
00
00
00
01
10
11
01
11
00
10
10
10
00
00
11
01
10
10
00
00
11
00
00
11
11
00
01
00
11
11
00
10
00
00
10
00
00
00
11
10
01
11
01
11
00
00
11
11
01
10
10
00
10
00
00
10
10
01
00
10
10
00
01
10
11
01
11
00
10
10
01
00
10
10
00
10
00
00
10
01
10
11
10
00
01
00
10
11
10
00
11
11
10
01
00
10
00
10
01
00
10
10
01
00
01
00
10
11
00
00
01
01
10
10
00
00
01
11
10
10
10
11
01
11
10
00
10
11
11
00
01
10
00
00
10
00
10
10
01
10
11
11
10
01
10
01
10
10
00
11
11
00
00
10
00
00
10
10
01
00
10
01
00
00
00
10
10
11
01
00
10
11
10
11
00
00
00
10
00
11
10
01
10
00
10
10
00
00
11
11
01
00
10
00
10
01
10
10
01
01
01
00
00
10
00
00
10
10
00
11
10
11
00
10
10
11
11
01
10
11
11
11
11
00
00
10
11
10
00
01
10
11
01
00
10
01
11
11
11
01
00
10
11
10
00
11
10
01
01
01
00
01
10
01
10
10
10
10
10
00
10
11
10
00
11
00
00
10
01
10
00
00
10
01
00
00
00
00
10
10
01
01
10
10
01
00
10
00
00
10
00
00
01
00
10
00
00
00
10
01
10
11
00
11
00
01
00
10
11
00
00
10
10
00
10
01
10
10
00
10
11
11
00
00
10
10
10
10
10
00
00
11
00
00
10
10
10
10
11
11
00
00
10
00
00
00
11
10
11
00
00
00
00
10
11
00
00
00
10
00
10
01
10
11
01
10
11
00
10
10
10
00
00
00
10
00
10
01
00
11
10
10
10
10
11
01
00
00
10
11
00
11
00
00
10
00
00
10
10
00
10
00
00
11
01
00
00
10
10
01
00
11
00
01
00
00
01
10
10
11
11
00
10
10
00
00
11
00
11
00
11
01
00
00
00
01
00
00
10
11
10
10
00
11
10
10
01
00
11
01
10
01
10
00
01
11
11
10
10
10
00
00
01
11
11
00
01
10
11
10
01
00
00
10
10
00
00
00
10
10
10
00
10
10
01
11
01
00
10
01
11
00
10
10
00
11
10
00
11
01
01
10
00
10
01
00
11
10
11
01
11
00
00
11
01
00
10
00
00
01
01
10
10
10
00
10
01
10
01
00
01
01
11
11
01
01
10
11
00
01
10
11
00
11
11
00
00
10
00
01
00
10
10
10
00
00
10
10
10
11
10
00
00
00
00
11
10
01
10
11
11
10
10
00
10
10
10
00
00
10
10
00
11
10
10
00
10
11
01
10
10
10
00
00
01
10
10
00
10
10
00
00
00
01
00
00
01
01
11
00
10
11
00
00
10
10
01
00
01
11
00
01
01
01
11
00
00
00
10
11
00
10
10
11
11
01
11
00
00
00
10
10
00
10
10
01
01
01
11
10
00
11
00
11
00
00
11
11
01
11
11
01
10
10
00
10
10
00
10
11
10
00
11
00
00
10
11
10
01
01
10
00
10
10
00
10
01
00
00
11
01
00
10
11
11
00
01
00
10
00
01
10
10
00
00
10
11
00
00
00
01
00
01
10
10
11
10
11
11
00
01
10
10
00
00
11
01
10
10
00
11
10
00
00
10
00
10
00
00
10
01
10
01
10
10
10
10
11
00
10
11
10
00
01
00
01
01
11
00
01
10
11
01
00
11
10
00
01
01
10
10
11
10
00
00
00
00
10
10
11
10
00
10
11
11
11
00
01
01
00
10
00
00
10
10
01
00
11
11
01
10
11
00
10
10
00
01
11
00
00
01
00
10
10
00
01
10
00
10
00
10
00
00
11
01
10
00
01
10
01
00
01
00
01
11
00
00
11
10
00
10
00
10
00
00
10
00
01
01
10
10
10
11
10
10
10
10
00
00
00
10
01
00
00
00
00
00
00
00
00
11
00
10
00
11
10
10
00
00
01
00
10
11
00
00
10
10
01
11
10
11
01
10
00
10
11
10
11
00
00
01
11
11
11
01
00
11
00
11
10
11
01
00
00
00
00
10
00
01
10
10
11
10
00
11
10
10
01
10
11
00
00
10
01
00
11
10
01
00
00
01
11
00
10
10
00
10
00
01
10
10
00
10
00
11
10
00
10
10
01
00
01
01
10
01
11
10
00
11
00
10
01
00
10
11
10
01
10
10
00
01
10
11
10
00
00
00
10
10
11
00
00
00
11
00
01
10
10
00
10
00
00
01
10
10
00
00
00
01
10
01
00
10
00
10
10
01
10
10
00
01
00
00
01
10
10
00
10
00
00
00
00
10
11
10
00
01
10
00
01
10
10
11
10
11
01
00
11
00
10
01
01
11
11
01
01
10
00
10
00
01
11
11
00
01
00
10
10
11
00
00
01
10
00
10
01
01
00
10
11
10
10
01
10
00
00
10
01
00
11
10
10
00
10
00
00
00
10
01
00
01
10
01
00
01
00
11
10
01
00
10
10
11
10
01
11
01
01
00
01
10
00
00
01
11
00
00
10
10
00
11
00
00
00
00
00
10
00
10
11
00
10
00
11
00
00
11
00
10
11
11
10
00
11
00
11
10
00
10
10
10
10
01
00
00
11
10
00
10
10
00
00
01
11
01
11
01
10
01
01
00
10
11
00
00
10
00
10
11
00
01
00
11
11
00
11
10
00
01
10
11
00
11
01
01
10
01
10
10
00
00
11
11
00
00
00
00
10
01
00
11
00
10
01
00
10
01
10
10
00
01
01
00
10
10
00
00
11
11
11
00
10
10
01
10
10
01
00
01
10
10
00
00
00
00
10
00
00
00
00
01
01
10
10
01
10
10
01
11
10
00
00
11
11
11
00
00
10
10
01
00
10
00
00
10
01
00
00
11
10
00
00
11
11
11
10
00
11
00
01
00
10
11
11
10
11
00
00
10
10
10
10
00
11
10
00
00
10
10
00
11
10
01
00
00
01
00
00
11
10
01
10
00
11
10
01
00
01
10
00
10
11
10
00
11
00
00
11
10
00
11
01
00
01
11
11
10
11
10
10
00
00
00
00
11
00
00
10
00
10
10
00
10
01
00
10
01
10
10
00
00
10
10
11
00
01
10
10
00
00
10
10
00
00
00
10
11
01
00
00
01
10
00
00
00
11
00
11
11
00
00
10
10
01
10
11
11
10
11
00
11
11
11
01
01
00
11
10
00
00
00
11
10
01
00
00
11
10
01
00
10
10
01
01
00
00
10
10
01
10
10
10
00
00
00
10
01
00
11
10
00
00
00
10
01
10
10
10
00
00
10
10
00
00
00
00
11
10
10
10
00
10
00
00
10
11
11
00
00
11
10
10
01
00
01
00
10
01
00
00
10
10
00
00
10
01
10
00
01
10
10
00
10
01
10
10
11
00
01
10
01
00
00
10
10
10
01
00
11
11
00
10
00
10
10
10
01
01
11
10
01
10
11
00
01
10
11
01
01
11
11
00
11
11
00
01
10
11
00
10
10
10
00
11
00
00
01
00
01
10
00
00
01
01
01
00
11
10
11
00
01
10
10
11
00
00
00
10
10
10
01
00
10
10
01
00
10
11
01
00
01
00
11
10
01
00
11
11
01
00
11
11
10
00
00
10
11
11
01
00
00
11
00
10
01
10
10
10
10
00
10
11
00
00
10
01
01
00
01
00
10
10
10
10
11
00
01
00
11
00
00
10
00
00
11
10
01
01
01
00
11
11
10
00
10
11
01
10
10
10
00
10
10
10
00
00
10
01
01
10
00
00
10
10
00
10
10
10
00
00
00
01
01
01
01
01
01
00
10
00
10
11
10
01
00
11
11
10
00
10
10
00
00
10
00
00
10
01
00
01
10
11
01
11
00
00
01
10
00
00
10
10
11
00
00
11
10
00
00
10
10
01
01
01
11
00
00
10
11
11
10
01
00
00
00
10
10
11
00
01
11
00
11
00
01
00
01
10
11
01
00
10
01
00
10
10
11
10
01
10
00
00
10
10
11
10
00
01
10
10
11
00
01
11
00
00
01
10
01
00
10
11
00
11
01
10
00
01
10
01
10
10
10
00
00
11
10
00
10
01
01
00
00
00
00
11
11
01
11
10
00
11
10
11
00
00
11
11
10
00
00
10
11
10
11
00
00
10
01
00
00
11
10
01
10
01
00
10
11
10
01
00
00
00
10
01
10
10
01
00
10
10
00
10
10
10
01
10
10
01
00
01
01
01
10
00
10
01
00
10
01
10
11
01
00
00
00
10
00
10
11
01
11
00
00
11
00
10
01
10
11
00
10
01
10
10
10
10
00
00
00
10
10
00
01
01
00
00
00
11
01
01
11
11
00
00
10
01
00
01
00
10
10
00
10
00
00
11
10
10
10
01
10
00
11
01
00
10
00
11
10
00
00
11
11
00
00
00
10
00
00
10
10
01
10
00
01
11
10
00
01
10
11
00
01
00
11
10
10
00
01
00
11
00
00
11
10
11
00
00
10
10
00
10
11
01
01
10
11
10
01
00
10
01
00
10
10
00
00
10
00
00
00
00
10
10
10
10
10
01
10
10
10
00
00
10
10
10
00
11
00
01
11
01
00
01
10
00
00
11
01
00
10
10
10
01
10
00
10
10
00
00
11
10
10
00
00
10
01
01
00
10
11
11
11
10
00
00
10
10
00
11
11
11
01
10
10
00
01
10
01
00
10
10
00
10
00
10
10
01
10
11
01
00
11
00
10
10
01
00
10
00
11
10
11
00
00
00
11
11
11
10
00
00
10
01
00
10
00
00
11
10
00
01
11
10
11
00
11
00
00
11
01
10
00
10
00
00
01
00
11
01
00
10
00
01
01
00
10
01
00
01
00
11
10
10
00
00
11
10
10
01
00
10
01
10
10
11
00
10
11
10
10
00
11
10
11
10
01
00
00
11
11
00
00
00
10
01
01
11
10
00
10
00
00
10
11
01
00
10
11
00
10
11
00
00
11
10
00
00
10
10
01
00
11
10
01
00
00
10
10
01
10
11
00
10
01
01
00
11
10
00
10
10
10
00
01
10
10
01
11
10
01
11
11
00
10
00
01
11
01
00
00
00
00
10
11
11
00
01
10
11
00
11
00
01
01
10
10
10
00
00
00
10
11
01
11
10
11
00
10
01
00
11
11
00
01
10
11
00
10
10
00
00
10
10
01
00
00
10
00
10
10
01
10
00
00
00
10
00
10
10
00
00
10
11
10
00
00
00
10
00
00
11
10
00
00
01
11
10
01
00
11
10
01
01
11
10
01
10
10
00
10
10
01
00
10
00
10
01
00
11
10
10
00
11
11
00
00
10
00
10
10
00
00
00
01
11
00
01
10
10
00
00
10
10
11
01
00
01
10
01
01
10
01
10
00
00
10
10
10
00
00
01
11
00
01
00
11
10
10
00
00
10
10
00
10
10
00
01
01
00
10
11
00
01
10
00
00
11
01
11
01
00
00
11
00
00
10
10
01
00
00
01
01
10
00
01
11
10
00
11
00
10
10
00
10
10
00
00
11
00
00
11
01
10
01
00
01
10
10
00
10
00
01
00
10
00
11
00
11
11
10
11
00
11
11
11
01
00
01
10
00
01
10
10
00
00
10
10
01
01
00
10
10
10
00
10
00
10
00
01
01
11
00
00
11
10
00
01
10
10
10
11
10
10
00
00
00
11
01
10
10
11
01
01
01
00
00
00
10
10
10
10
00
00
10
10
11
01
10
10
11
00
00
10
10
10
10
00
10
10
10
10
00
11
01
00
10
11
10
10
00
01
01
10
10
00
00
11
00
10
10
01
10
01
00
10
01
00
11
10
00
00
00
11
01
10
11
00
00
01
10
11
00
10
11
01
00
10
10
00
11
01
10
11
10
01
01
01
11
00
01
00
10
11
01
00
10
11
10
00
10
11
00
01
11
01
11
11
00
00
00
10
00
00
11
01
00
10
10
00
10
00
00
11
10
11
00
00
10
10
11
01
10
11
00
10
11
00
00
10
01
10
00
01
10
00
00
00
10
00
00
01
01
10
10
01
00
00
10
10
00
01
11
11
11
00
01
00
00
11
00
00
10
01
10
10
10
01
00
10
10
10
10
00
00
10
10
01
10
10
00
00
10
10
10
11
11
10
11
10
11
01
00
10
01
00
10
01
00
10
00
00
01
10
10
01
00
00
10
01
00
10
00
10
11
10
00
00
01
10
11
00
11
10
10
10
01
00
10
00
00
10
10
00
00
10
10
10
01
10
10
00
00
10
01
01
11
01
10
00
00
10
00
00
10
10
01
00
10
11
00
01
01
00
10
10
00
00
00
11
00
01
00
11
10
11
10
10
00
00
01
11
00
01
11
10
10
00
00
00
00
10
10
01
01
01
10
10
00
11
00
10
00
11
10
11
11
00
00
00
10
11
10
00
00
00
00
10
10
10
01
00
10
01
11
00
10
10
01
00
00
01
10
10
00
11
10
11
01
01
10
11
10
10
00
10
01
01
00
10
10
10
00
00
11
01
01
10
00
00
10
01
10
10
00
10
00
00
10
00
01
11
11
01
10
10
10
00
01
01
01
10
10
10
10
01
00
01
00
10
00
10
11
11
10
00
10
10
10
00
10
10
00
00
00
11
11
11
00
10
10
10
10
01
01
10
01
00
11
00
10
00
01
10
11
00
00
11
10
10
00
01
00
00
00
10
11
10
10
10
10
00
10
00
01
01
01
10
00
10
10
10
11
00
01
00
00
00
01
01
10
10
10
10
00
10
00
00
01
11
00
00
11
10
10
01
10
00
10
01
00
00
01
11
10
10
01
01
01
11
01
00
11
10
01
00
00
10
10
10
01
00
10
01
00
10
10
00
00
00
00
00
11
11
00
11
01
00
10
10
10
10
11
00
10
01
10
00
00
11
10
00
00
10
01
11
00
11
10
00
00
00
00
00
10
10
10
00
11
00
10
00
10
00
11
01
10
00
01
11
01
10
11
10
01
11
11
00
00
00
10
10
01
11
11
00
11
10
01
00
01
11
00
00
10
00
01
10
11
10
10
01
00
00
00
11
01
11
11
11
11
00
01
00
11
10
00
01
10
10
00
10
10
00
00
10
00
00
01
00
00
11
10
11
00
10
00
01
11
11
11
10
00
00
00
01
10
10
01
11
00
10
10
00
10
10
11
00
00
11
00
10
10
01
11
10
01
10
11
10
10
00
01
11
11
01
01
00
10
10
00
11
11
01
00
00
00
00
10
10
00
00
00
10
01
10
11
00
11
10
01
10
10
01
00
11
00
00
10
10
00
00
00
11
10
01
01
00
00
10
01
01
00
11
11
00
00
10
00
10
11
11
00
01
01
10
00
00
10
01
00
10
10
01
10
11
00
10
00
00
10
10
10
00
11
00
10
10
00
01
10
10
00
00
00
10
10
01
10
00
00
11
11
01
10
10
10
10
10
00
00
10
10
11
00
01
10
10
10
11
10
10
00
00
00
00
10
11
11
00
01
10
00
10
10
00
01
10
11
00
00
10
10
00
10
10
00
10
11
00
00
10
00
10
10
00
00
00
10
00
01
00
00
10
10
11
00
10
00
01
00
11
01
01
10
10
11
11
00
11
01
00
10
10
10
11
10
00
00
00
11
10
00
00
10
00
11
11
10
10
01
01
11
11
00
00
10
11
01
01
11
00
00
11
10
00
00
10
01
11
00
10
11
10
10
00
11
10
11
01
11
01
00
10
00
00
10
10
01
00
01
11
00
01
10
00
11
10
01
11
10
00
00
01
10
00
00
10
01
10
01
10
00
01
10
10
00
00
00
00
10
00
01
01
00
11
10
10
00
00
10
10
00
01
11
11
01
01
00
11
00
00
10
10
01
00
01
10
00
10
10
00
01
10
10
00
01
00
11
00
01
11
00
10
00
10
10
00
00
10
10
00
00
10
11
00
00
01
00
00
00
10
11
00
01
00
10
00
01
00
11
10
10
00
00
10
01
11
10
00
01
10
01
00
10
01
10
00
00
11
10
10
11
00
10
00
11
10
00
11
01
00
00
11
10
10
00
10
10
00
00
00
10
10
10
01
00
10
00
00
00
00
11
00
11
01
00
01
10
11
11
01
01
00
11
10
01
00
01
11
11
10
00
00
11
00
00
10
11
11
10
10
00
01
11
00
11
00
00
10
11
11
10
00
00
10
10
00
00
10
11
10
01
01
01
00
10
01
11
10
00
10
00
01
10
10
00
00
10
01
00
10
01
11
10
00
00
10
01
01
00
11
00
10
10
10
01
00
01
11
10
10
11
10
01
11
11
10
00
01
10
10
00
10
11
00
00
10
00
10
10
00
00
01
10
11
00
00
00
10
10
00
00
11
11
10
00
00
11
10
10
00
10
10
11
00
00
10
00
10
01
10
00
10
11
01
01
10
00
10
11
10
00
01
10
01
11
11
01
10
10
00
00
10
11
00
01
11
10
10
01
00
01
00
10
10
11
10
00
00
10
00
00
00
11
10
11
10
01
10
00
00
00
01
10
11
00
00
10
01
00
00
10
10
10
00
10
10
00
11
10
00
10
11
10
10
00
10
00
00
01
11
10
01
00
01
10
10
01
00
00
10
00
01
11
10
10
11
10
01
01
10
01
00
01
10
00
11
00
00
10
00
01
10
10
00
10
00
00
10
10
00
00
11
00
01
10
01
00
01
00
00
00
10
11
01
10
11
10
00
00
10
00
10
00
10
00
10
00
10
11
00
10
00
00
01
10
10
01
11
10
01
10
11
11
10
01
10
10
00
10
00
00
01
10
10
10
10
00
01
10
10
00
00
00
10
10
10
10
00
11
11
11
11
00
11
01
01
00
00
10
10
00
01
10
00
00
10
10
00
00
10
00
10
01
11
00
10
00
00
01
01
10
11
01
10
10
00
00
01
01
00
10
00
00
00
00
11
00
00
00
01
10
00
10
10
00
11
10
10
00
00
00
01
01
11
10
00
01
00
10
01
11
11
01
10
00
11
11
00
00
01
11
10
10
01
10
00
00
10
10
00
01
11
00
11
00
00
10
00
11
10
00
01
01
11
00
00
10
10
10
10
00
00
00
10
10
00
10
10
00
00
01
10
11
11
00
00
11
10
10
01
00
00
00
10
10
00
10
00
10
10
11
11
10
00
01
11
10
10
00
10
01
00
00
11
10
10
10
00
01
10
11
00
10
10
11
00
00
00
10
11
00
10
11
00
01
10
01
00
11
11
10
01
00
11
00
01
10
10
10
00
01
00
11
10
00
00
01
10
11
10
01
01
01
10
11
10
10
10
01
10
10
10
00
01
11
00
00
10
10
10
10
01
00
11
11
10
10
00
00
00
10
10
00
00
10
00
11
00
01
00
01
10
00
00
10
01
10
00
00
10
11
10
10
00
00
11
00
01
10
10
00
00
10
10
00
00
01
00
11
01
00
01
10
01
10
11
00
00
11
10
01
01
10
11
00
01
01
11
10
11
00
01
11
01
10
10
10
00
00
10
00
11
10
01
10
10
00
10
11
00
11
10
11
00
10
00
00
10
10
00
10
10
10
00
10
11
10
00
01
10
00
00
00
00
00
01
11
11
10
10
00
11
11
11
00
11
10
00
10
10
01
00
11
11
00
01
00
10
10
10
00
00
01
10
00
00
00
01
00
00
00
10
01
00
10
00
10
01
00
11
00
00
10
01
00
11
10
01
10
00
01
10
00
00
00
10
10
11
00
10
11
10
11
10
11
10
10
10
11
01
10
11
01
10
11
10
00
01
01
10
10
10
01
10
00
00
11
10
01
00
10
11
10
00
01
10
00
10
10
00
00
11
01
10
11
10
11
10
10
10
00
10
11
10
00
00
10
10
10
00
10
00
01
00
10
11
10
00
00
00
10
01
11
10
01
01
01
00
10
11
00
01
10
00
01
10
10
00
10
10
10
11
00
00
01
11
10
00
11
00
00
01
00
10
10
01
00
00
01
00
10
01
10
10
11
00
00
10
00
10
10
01
11
00
00
10
00
00
00
10
10
00
10
00
10
10
01
01
00
10
00
10
10
10
00
00
10
00
10
01
11
10
10
00
10
10
10
00
00
10
00
11
00
10
00
10
10
01
11
01
11
10
10
11
00
10
01
01
11
00
01
01
00
10
11
10
01
00
10
10
01
11
10
10
00
01
00
00
01
10
00
10
10
10
00
10
10
00
10
00
00
00
10
00
00
00
01
00
10
10
00
10
10
10
11
10
00
01
11
10
01
00
00
01
01
11
00
00
11
11
01
00
11
01
00
10
01
00
10
01
00
10
00
00
10
00
10
10
01
00
01
00
00
10
11
00
10
00
01
10
00
00
10
10
00
10
11
10
00
10
10
10
10
00
01
10
00
00
00
00
00
10
10
10
01
01
00
11
10
11
11
11
10
00
10
10
00
00
01
10
10
00
10
01
10
11
00
11
11
01
11
11
10
11
00
00
10
10
00
10
00
00
11
01
00
10
10
11
11
11
00
01
01
11
01
00
11
10
11
00
01
10
11
00
10
00
00
00
01
01
11
01
10
00
11
00
11
10
00
10
10
11
10
01
00
11
01
00
10
00
10
01
01
10
11
00
10
01
00
01
11
01
00
00
10
01
11
10
11
00
00
00
10
10
10
01
00
00
10
00
00
00
10
00
00
10
10
10
00
01
01
11
10
10
11
01
00
11
00
00
10
11
11
10
10
01
00
11
01
01
11
10
01
11
10
00
11
10
00
10
10
00
11
01
11
00
10
10
01
00
11
01
11
11
10
10
00
10
00
01
10
11
01
11
01
01
10
00
10
10
10
10
00
00
00
00
01
11
11
00
11
11
00
00
01
10
10
00
00
01
11
10
00
11
10
01
10
11
10
10
11
00
00
01
10
11
00
11
11
00
00
11
10
00
00
11
11
10
00
00
01
01
10
00
00
00
00
01
01
00
11
11
00
10
00
11
10
00
01
10
00
10
01
00
11
10
10
00
00
10
11
10
00
00
10
10
10
00
01
00
10
01
11
01
11
00
00
10
10
00
10
10
11
10
01
11
10
00
10
11
11
10
00
01
11
11
01
00
00
10
00
00
01
00
11
10
10
10
00
10
00
00
11
01
00
01
00
10
00
01
11
10
10
11
00
01
10
00
00
10
11
00
10
10
11
10
10
00
11
01
00
10
00
01
01
01
10
11
00
10
00
01
10
10
10
00
00
10
10
10
00
00
10
10
00
10
01
10
00
11
11
00
00
01
10
11
10
00
00
10
01
11
10
00
00
00
01
00
11
01
00
10
00
00
10
10
01
10
00
10
00
11
01
00
01
10
11
00
11
11
00
00
10
11
01
10
11
00
00
00
00
10
11
10
00
00
00
11
10
10
01
00
01
00
10
10
00
00
10
10
01
00
10
10
10
00
00
00
10
10
10
10
00
00
10
11
11
00
10
11
00
01
11
11
10
00
00
11
00
01
01
11
10
11
10
00
00
10
01
00
10
00
10
11
10
01
01
01
10
01
10
00
00
11
10
01
10
10
10
10
01
11
11
00
10
10
00
11
00
01
11
00
10
00
01
11
11
10
01
11
11
00
01
00
10
10
11
00
00
10
10
00
00
01
00
01
00
11
10
10
00
01
11
10
10
01
00
11
11
10
00
00
10
00
11
11
00
10
10
01
10
00
10
10
11
00
00
00
10
00
00
11
10
01
00
11
00
01
10
11
10
00
00
10
10
11
10
00
10
11
10
10
00
00
10
10
00
01
10
11
10
11
00
00
11
00
10
10
00
00
01
00
00
01
10
00
11
11
11
00
00
10
10
00
00
11
10
10
00
10
10
00
11
00
00
10
11
00
10
00
00
10
11
11
10
01
00
00
11
11
01
00
00
10
11
00
00
01
10
10
10
10
10
11
00
00
10
10
00
10
10
01
00
10
00
11
10
00
01
00
10
10
10
00
00
10
00
11
10
10
10
11
00
01
01
00
01
11
00
10
00
01
00
10
10
10
10
00
11
10
01
00
10
10
00
00
00
11
00
00
10
01
10
10
10
00
00
10
01
10
10
01
01
10
11
11
10
11
01
01
11
00
00
11
01
10
10
00
10
00
00
00
00
10
01
01
10
00
10
00
11
11
01
00
01
00
10
01
11
00
01
01
10
01
01
11
00
11
10
01
11
00
01
11
11
10
10
00
00
00
10
10
00
10
11
00
11
10
00
10
10
10
01
01
10
11
00
11
10
00
00
11
00
01
01
10
11
11
10
00
00
01
10
01
11
01
01
10
10
10
00
10
00
00
10
10
00
10
00
10
01
10
00
10
00
10
10
00
00
01
10
10
10
10
01
01
01
10
11
01
00
11
10
00
11
11
00
00
01
11
10
11
00
00
10
10
10
00
00
10
00
10
11
11
00
00
10
11
01
00
00
10
01
00
00
01
11
00
10
10
11
00
10
10
00
10
11
00
01
10
11
10
00
00
11
11
00
01
10
11
11
10
01
00
10
11
01
01
11
00
01
10
10
01
11
10
01
10
11
01
10
00
01
11
10
00
00
00
00
00
10
10
11
11
01
10
00
00
10
10
00
10
00
11
00
11
10
00
00
00
00
00
00
11
11
00
00
10
01
00
00
11
10
11
00
00
00
10
10
00
11
01
00
11
10
00
00
11
10
10
11
00
10
00
10
00
10
00
00
00
10
11
00
11
01
11
01
11
10
10
00
00
10
00
00
00
00
10
10
01
10
00
01
01
11
01
00
10
00
00
10
10
10
00
00
10
00
11
10
10
00
11
11
00
01
10
11
11
00
01
01
00
10
00
01
10
10
00
00
10
00
10
10
10
10
00
10
11
10
00
10
00
00
00
11
10
01
10
01
11
00
11
00
10
10
10
00
00
00
00
00
10
00
01
00
11
10
00
00
10
10
10
11
00
10
11
10
10
11
00
10
11
01
00
10
01
10
11
00
01
10
11
11
00
00
10
10
01
00
11
10
11
00
10
00
11
11
01
00
00
11
01
00
01
00
10
10
00
00
01
11
11
01
10
01
10
10
00
10
10
10
00
00
11
00
10
10
00
10
10
00
00
10
01
10
01
10
10
01
01
10
10
11
00
01
00
01
11
00
00
10
00
11
00
00
00
00
00
11
10
00
10
10
10
01
10
00
10
10
11
10
01
01
00
00
10
00
11
00
00
10
10
01
10
10
00
10
11
10
11
10
01
10
10
10
00
01
11
00
00
10
00
10
00
11
10
11
00
10
10
00
10
10
00
01
10
10
11
01
00
01
00
10
10
00
00
00
10
10
00
00
10
00
10
00
00
00
00
10
10
01
01
01
00
10
11
11
01
00
00
10
01
10
10
00
10
10
00
10
01
01
01
10
00
10
01
00
10
00
00
10
01
11
11
00
00
11
00
11
11
00
00
01
11
11
11
00
11
10
00
10
00
00
11
10
00
00
11
10
00
01
10
01
11
10
10
10
11
10
11
00
00
11
11
01
00
11
10
01
01
11
00
00
10
11
01
10
10
00
11
10
00
00
11
10
11
00
10
00
01
01
00
00
11
10
00
11
00
00
00
11
01
00
10
00
11
11
00
00
11
01
00
11
10
10
10
11
01
10
10
00
10
11
10
00
00
10
10
00
10
10
00
01
10
10
00
10
11
00
00
11
00
00
01
01
10
10
00
01
00
00
10
01
00
00
00
10
10
00
00
01
11
11
10
00
01
10
00
11
01
00
00
10
10
10
10
00
10
11
00
01
00
11
00
00
01
10
00
10
00
00
11
10
10
00
11
10
01
00
10
00
00
00
10
01
00
00
10
00
01
11
10
10
00
01
01
00
10
00
00
00
00
10
00
10
11
11
00
10
00
01
11
00
11
10
01
00
10
10
01
10
10
10
01
00
10
10
00
11
00
10
10
01
11
01
10
01
10
10
10
10
00
10
01
01
10
00
00
10
10
10
01
01
10
01
10
00
10
10
00
10
10
00
01
10
10
10
01
10
00
01
10
11
00
01
10
00
10
00
00
10
11
11
10
10
10
01
10
00
01
11
01
01
01
01
01
01
10
00
00
10
10
01
00
11
10
10
10
00
00
10
10
01
10
00
00
11
11
00
00
10
00
11
01
01
10
11
00
01
10
00
00
11
00
00
10
00
01
00
01
11
00
10
00
01
10
11
00
01
00
01
00
10
11
00
10
10
00
00
01
00
00
00
11
00
11
11
00
10
01
01
10
10
10
00
00
01
10
10
10
00
10
00
00
10
10
10
00
10
00
11
01
10
11
00
00
10
01
10
01
00
10
00
10
01
10
11
01
11
00
10
00
00
10
10
10
00
00
00
01
10
00
01
11
11
11
10
01
11
10
00
00
10
00
10
10
11
11
11
10
01
10
01
00
10
00
01
10
10
10
11
00
01
11
01
10
00
10
10
00
00
00
10
00
00
10
01
00
00
00
10
00
01
11
11
10
00
11
00
01
11
11
00
11
00
00
00
10
00
00
00
11
00
01
00
00
10
10
10
11
00
00
11
11
00
00
00
10
10
10
01
00
10
10
00
11
00
10
10
00
00
01
00
01
00
10
10
01
10
00
00
11
10
00
00
10
01
00
11
00
01
00
00
11
01
10
00
01
10
10
10
10
11
10
01
00
11
10
00
00
00
00
11
01
10
10
10
00
11
11
00
10
11
10
00
10
00
00
00
10
00
01
10
11
01
10
00
10
10
01
01
00
00
11
11
11
00
00
10
10
00
00
01
10
01
10
00
10
11
10
00
00
10
11
00
00
10
01
00
10
11
11
10
10
00
00
11
11
01
11
01
01
10
11
00
00
11
10
10
11
00
00
10
10
00
11
10
10
11
01
00
00
01
10
10
10
00
11
10
00
10
10
00
10
10
01
01
00
10
10
00
01
00
10
10
00
10
10
10
00
00
00
10
00
01
10
11
10
01
00
11
00
01
10
11
11
10
01
01
11
10
11
00
00
00
10
11
11
11
00
00
01
00
01
10
00
00
10
00
11
10
00
00
10
01
01
10
10
00
10
11
10
01
10
10
01
01
10
00
10
00
00
01
00
11
10
00
11
10
11
01
00
00
00
00
10
10
01
01
10
11
11
00
01
00
00
10
00
00
00
11
10
10
00
00
00
10
00
00
01
01
00
10
00
01
10
11
10
10
00
10
00
00
10
10
11
00
00
10
00
00
00
00
01
10
00
10
10
01
00
10
11
10
00
01
01
00
00
10
11
11
00
00
00
10
10
00
10
01
01
10
00
11
10
10
10
10
10
10
00
01
10
11
11
11
00
10
01
00
00
10
11
10
01
00
10
10
01
10
00
10
10
00
11
00
01
00
00
10
11
11
10
00
10
10
00
10
00
01
00
00
01
10
10
00
01
01
10
11
10
01
11
00
01
00
00
10
00
00
00
00
10
10
10
10
00
00
11
10
01
10
11
00
01
00
11
10
00
00
10
00
00
00
10
00
00
10
01
10
11
11
00
00
10
01
10
00
01
10
10
00
11
10
01
01
10
10
10
01
00
11
10
01
00
10
00
00
10
01
11
10
00
10
10
10
11
11
01
00
10
01
10
00
00
00
11
00
10
11
00
00
10
00
00
00
01
00
10
10
00
00
10
00
11
10
00
11
00
10
01
00
10
11
01
01
10
11
11
00
10
00
00
11
10
11
00
10
01
10
10
01
10
00
10
11
01
11
11
00
00
00
11
11
01
00
00
10
10
10
11
10
01
10
00
10
00
01
10
10
01
01
11
01
10
01
00
01
00
10
11
00
00
11
10
01
01
10
10
00
00
10
00
00
11
10
00
00
10
11
10
00
10
10
01
01
11
00
11
10
00
10
11
10
00
00
11
11
10
01
00
00
00
00
10
01
01
11
01
10
11
10
10
00
00
00
01
01
11
10
00
10
11
01
01
11
11
00
00
00
11
01
10
11
00
01
10
01
10
11
11
00
10
10
00
00
00
10
10
10
10
00
10
00
11
11
01
11
11
10
00
01
10
00
00
01
10
01
00
10
00
10
11
00
10
10
00
10
10
00
00
10
11
10
10
11
10
01
11
10
00
10
10
00
11
10
11
10
01
00
01
00
11
00
00
00
10
00
01
00
00
01
11
00
11
01
11
11
01
11
10
10
00
10
10
10
00
01
00
10
00
10
10
01
00
00
10
10
10
01
11
01
00
01
00
10
01
10
10
00
00
00
00
11
10
00
00
01
01
10
01
00
00
10
10
11
10
10
01
10
11
01
10
10
11
00
00
11
10
00
11
10
01
01
11
01
00
10
00
11
11
10
01
11
00
00
00
11
10
00
00
00
01
10
10
11
00
01
10
00
10
10
01
10
10
01
01
00
01
11
10
11
11
11
01
01
11
00
00
00
10
10
01
00
10
11
00
11
00
00
01
10
10
11
00
10
10
01
00
11
10
01
00
10
00
10
01
00
11
10
00
11
00
11
10
10
00
10
01
00
10
10
10
11
10
10
00
00
00
01
10
10
10
01
10
10
00
11
11
00
00
11
00
00
01
00
10
10
10
00
10
10
10
00
10
01
10
00
10
10
01
10
00
00
11
10
00
01
11
00
11
00
00
10
11
00
10
00
00
11
10
00
10
00
00
11
10
01
11
10
00
10
01
10
00
00
10
10
00
00
00
10
10
10
00
10
10
10
10
10
10
01
10
10
11
11
01
10
11
01
00
00
11
01
00
01
00
10
01
01
10
01
10
10
01
00
10
10
11
00
10
01
00
00
11
10
00
10
10
00
10
01
10
00
00
11
01
11
00
01
11
01
00
10
10
11
10
00
01
10
01
00
01
01
10
01
10
10
00
10
10
00
00
10
10
10
00
11
10
01
00
10
00
01
00
10
10
00
00
11
11
00
00
00
10
11
00
10
00
11
10
10
10
00
11
00
10
00
11
01
00
11
10
11
01
10
00
10
10
00
00
10
10
00
00
11
00
00
10
00
00
00
00
01
10
10
10
00
00
00
00
10
00
01
00
01
10
00
00
11
00
11
10
00
00
00
00
11
10
00
10
00
00
01
10
10
01
10
11
10
01
10
10
10
10
01
00
00
10
01
10
10
10
10
00
00
11
01
00
00
10
00
10
11
01
01
01
00
10
10
10
00
01
10
10
10
00
10
10
00
00
11
01
11
11
11
10
10
10
11
11
10
00
00
01
11
10
00
10
01
00
10
11
00
11
11
01
00
11
10
11
10
00
00
10
00
10
10
01
00
00
11
10
01
00
10
00
00
11
01
11
11
11
00
10
01
11
00
10
10
01
00
00
01
10
00
01
10
11
00
01
00
10
10
01
00
01
11
10
00
10
01
00
11
01
10
11
10
10
00
01
00
10
10
00
01
10
11
00
00
10
00
10
10
11
10
11
10
10
01
10
00
11
11
00
11
10
10
11
10
00
00
10
00
11
10
11
01
01
01
00
10
00
00
10
11
01
11
10
10
10
10
11
11
00
01
00
00
01
00
10
01
01
10
10
10
00
00
10
10
11
11
11
11
11
10
01
00
10
01
00
10
10
00
00
10
01
10
11
00
00
10
11
00
00
00
11
10
11
10
00
11
10
10
00
11
11
01
10
01
01
00
11
00
01
10
01
11
01
10
10
11
00
11
10
10
00
01
10
01
10
11
11
11
00
10
11
00
00
10
10
01
10
01
00
00
10
10
10
10
10
00
01
10
10
10
11
01
10
11
00
10
00
00
00
11
10
00
00
00
00
00
10
10
10
00
00
00
00
10
11
00
01
10
10
10
01
00
10
10
00
00
11
10
10
10
00
11
01
00
00
00
11
00
00
11
11
11
00
10
10
00
10
10
00
00
10
01
01
10
00
10
10
00
01
01
11
10
00
11
00
00
01
01
10
10
00
00
10
10
11
10
11
00
10
01
01
10
10
11
01
11
10
01
10
11
10
00
01
11
00
10
01
10
01
01
10
01
00
11
01
00
01
11
10
01
10
00
11
01
00
10
00
10
11
00
01
11
01
00
11
00
10
10
10
01
01
00
11
10
00
00
10
11
10
10
00
10
11
11
01
01
10
10
00
01
01
10
10
11
10
10
11
00
00
00
10
00
01
10
10
10
01
01
00
10
00
00
10
00
00
01
10
11
11
10
10
10
01
00
11
10
01
10
10
00
00
11
00
01
00
10
11
10
01
00
01
10
10
00
11
01
00
00
00
11
01
10
10
00
01
10
10
10
00
01
10
11
00
10
10
10
00
00
00
10
10
01
01
00
10
10
00
10
10
00
10
10
01
11
11
00
11
00
11
11
10
00
00
01
10
11
00
10
10
11
00
01
11
10
10
10
00
00
10
10
10
10
10
00
10
11
10
11
00
00
01
10
00
01
11
10
11
01
00
00
10
00
10
01
01
01
01
11
00
10
11
10
00
00
11
10
10
01
01
01
01
00
10
01
10
10
00
10
01
10
10
00
10
00
01
01
10
11
00
10
01
11
00
00
10
10
11
01
00
01
00
10
10
00
01
00
00
11
00
10
11
10
10
10
00
00
10
00
11
00
10
10
10
11
11
11
00
10
11
00
00
00
10
10
11
10
00
01
10
11
00
01
01
01
10
10
10
01
00
10
10
00
11
00
11
11
00
10
00
01
10
00
00
10
10
10
10
00
11
00
10
10
00
00
00
00
10
10
00
00
10
00
10
00
01
10
10
10
11
00
01
11
11
11
00
10
00
01
10
00
00
00
00
01
10
10
10
11
01
00
10
01
00
10
01
01
10
01
00
10
10
10
00
00
01
10
00
01
00
10
10
00
11
10
10
01
10
10
00
00
00
00
00
00
11
10
11
10
00
00
00
10
11
00
11
11
00
00
00
11
11
00
10
11
00
10
00
00
11
10
01
01
11
10
00
10
10
11
00
01
10
01
01
10
00
01
00
10
10
10
00
10
10
01
11
10
11
01
10
01
11
01
10
11
00
01
10
10
01
00
10
11
01
00
10
10
10
00
10
10
00
10
10
00
00
10
10
01
00
01
10
11
00
01
10
10
10
00
01
10
00
00
10
10
01
10
10
11
00
11
00
11
00
11
10
10
10
00
10
11
00
11
10
01
10
10
11
00
00
10
01
01
11
11
10
00
01
10
00
10
11
00
00
10
00
10
11
01
11
11
01
00
10
10
01
10
11
11
01
00
10
01
11
00
10
00
10
00
10
00
01
10
11
00
01
11
11
00
10
00
00
10
10
00
01
00
10
10
00
00
00
01
00
11
00
10
10
00
10
10
00
11
10
00
10
01
00
10
01
11
11
11
01
00
00
01
01
11
01
00
10
01
10
00
01
10
01
00
10
01
10
01
10
01
00
00
11
10
01
00
10
10
01
00
00
10
10
00
10
10
10
00
11
10
01
10
01
11
10
10
00
00
10
01
00
00
00
11
00
10
01
10
00
00
00
11
10
00
00
01
11
10
00
10
00
01
10
11
10
10
01
00
00
10
10
00
00
00
11
01
10
11
01
01
10
10
01
01
01
00
10
11
10
00
11
01
00
00
01
10
11
10
10
10
00
10
00
00
10
00
01
11
00
00
00
01
00
11
00
11
00
00
10
11
00
00
10
10
00
01
01
11
01
00
10
00
00
10
10
10
00
01
11
11
10
00
10
11
00
10
10
01
00
11
01
10
00
10
01
10
01
00
10
11
01
10
00
01
10
00
10
00
00
10
00
11
00
00
11
01
11
10
00
10
01
00
00
01
11
11
00
00
00
01
00
10
01
01
01
00
10
00
10
10
10
10
01
10
11
00
10
11
10
10
00
00
11
11
00
00
10
10
11
11
10
00
11
11
01
00
01
11
10
10
00
01
10
00
01
10
10
11
11
01
00
10
10
10
01
10
01
01
00
01
10
10
00
01
10
10
00
00
00
00
10
10
00
00
00
00
01
00
00
00
00
10
10
10
11
11
01
11
10
00
11
10
11
10
01
00
01
10
00
00
10
00
00
00
01
00
11
00
00
01
10
00
00
10
10
00
00
10
00
00
10
01
11
10
01
10
10
11
00
00
00
00
10
00
00
11
00
00
10
00
00
11
00
11
00
00
01
00
10
10
10
00
00
01
01
00
01
00
10
01
00
10
10
10
00
00
10
00
10
10
01
01
10
11
00
01
01
00
10
10
01
00
10
00
11
10
11
10
00
00
10
11
00
00
10
10
00
10
10
00
00
11
11
11
00
10
11
11
01
00
11
10
00
10
00
00
10
10
00
01
00
10
10
10
10
11
01
01
00
10
10
10
11
00
00
11
11
00
00
11
01
10
10
01
11
10
00
10
00
10
10
00
11
11
01
01
10
10
10
01
10
00
00
10
11
00
00
11
01
10
00
11
00
00
10
01
10
10
10
00
00
11
10
00
11
10
00
01
10
00
00
00
10
10
00
01
00
10
11
00
10
00
11
11
11
00
01
11
00
00
10
10
01
01
11
00
00
11
00
11
10
00
00
10
00
00
11
00
10
10
10
11
01
00
10
01
00
00
00
10
11
00
00
10
01
01
00
10
11
10
00
01
11
01
00
10
10
10
00
11
11
00
10
11
01
10
10
00
11
10
01
00
00
10
10
00
01
10
11
00
00
10
00
00
01
10
10
01
00
00
10
01
11
01
10
11
10
00
10
01
00
10
11
00
01
10
10
00
10
10
00
11
00
01
00
10
10
11
10
00
10
11
10
10
00
10
11
10
00
01
10
00
10
10
00
10
10
01
10
00
10
01
01
10
00
11
00
11
00
10
00
01
10
00
00
10
11
00
10
00
00
00
00
01
00
10
10
00
10
00
00
10
00
10
00
01
00
00
10
11
00
11
11
11
11
11
10
00
01
10
10
00
00
10
10
01
00
11
00
00
10
01
10
10
00
11
01
00
00
00
10
01
10
11
11
10
10
00
01
00
11
10
00
10
01
01
10
00
01
01
10
11
11
00
00
11
00
00
00
11
01
10
11
00
11
00
10
11
00
10
11
00
10
10
00
10
00
00
10
00
11
11
11
11
11
01
10
10
00
00
10
10
01
00
01
00
01
10
00
01
01
01
11
11
10
00
11
11
00
10
00
01
01
10
11
10
00
00
00
10
10
10
10
10
00
10
10
10
00
10
10
01
11
00
10
00
10
00
11
11
00
00
00
00
01
10
10
10
11
10
11
01
00
10
01
10
00
00
10
10
00
01
01
00
10
11
10
11
00
10
10
11
11
10
10
01
11
10
01
00
10
10
00
01
00
00
10
10
01
00
00
00
11
00
00
10
00
10
10
01
00
10
01
00
01
00
10
01
10
00
00
11
11
11
00
10
10
10
00
11
10
00
10
01
01
00
01
00
10
00
10
11
10
00
00
10
01
10
10
01
10
01
10
10
01
00
10
00
01
00
10
10
00
10
11
10
01
11
11
00
11
10
00
00
10
11
10
10
01
00
00
10
00
11
01
10
00
11
10
10
01
01
11
11
00
00
01
11
11
10
01
10
10
11
10
01
00
11
11
11
10
00
01
10
00
00
10
11
00
00
10
10
10
01
01
10
00
01
10
01
00
10
01
00
10
10
10
01
01
11
00
10
10
10
01
00
11
10
00
11
10
10
00
10
10
00
01
11
01
11
10
11
10
00
10
00
01
10
11
00
01
10
10
00
00
10
10
11
10
10
10
01
01
11
10
00
00
01
11
11
00
10
00
00
00
00
10
10
10
10
10
00
11
10
00
01
00
10
01
10
01
00
11
11
10
11
00
00
10
00
00
01
01
10
11
00
00
11
01
10
10
01
01
10
10
00
00
01
00
10
11
01
00
00
10
11
10
01
00
11
01
01
11
10
10
00
00
10
00
00
11
01
11
10
11
10
00
01
00
10
10
10
00
00
10
00
10
10
00
00
11
01
11
10
00
11
00
11
11
00
01
11
11
00
00
11
10
00
00
01
10
10
10
10
00
00
00
11
01
00
10
10
01
11
10
00
00
10
00
10
11
11
11
01
00
01
11
11
00
11
11
11
10
00
00
00
00
10
00
00
10
00
10
00
10
10
00
10
00
10
10
11
01
00
11
00
01
10
01
00
00
01
11
00
01
11
10
10
01
10
01
10
11
10
01
01
00
10
00
00
10
00
00
10
10
00
10
10
00
10
11
00
11
00
10
11
00
00
11
10
00
00
01
11
10
01
01
10
10
11
10
11
00
01
10
10
11
01
10
11
10
00
00
10
10
10
00
11
01
00
10
10
10
11
10
00
00
00
00
00
10
11
11
00
01
01
00
01
00
10
00
01
10
01
10
10
00
01
00
10
10
00
00
10
10
10
00
10
11
00
00
10
00
01
00
10
10
10
11
10
01
11
01
00
10
10
00
01
10
10
01
01
10
00
01
10
01
01
10
10
01
01
01
11
10
00
10
00
00
10
10
11
00
00
10
10
00
11
10
11
00
00
00
10
10
00
01
00
00
10
00
11
00
00
11
10
01
10
00
00
10
00
01
00
10
11
00
11
00
00
00
01
10
10
00
00
01
00
10
10
10
11
10
00
10
00
10
10
10
11
11
01
00
01
10
11
01
00
10
10
11
00
10
10
00
11
00
01
11
01
11
01
00
10
11
10
00
01
10
11
11
00
00
10
00
10
01
00
10
10
00
10
10
00
00
11
00
10
10
10
00
00
00
01
10
00
10
11
11
00
00
00
11
11
01
01
00
00
01
00
00
00
10
10
00
11
10
00
10
10
00
01
00
11
01
00
10
01
00
11
10
00
01
00
10
11
01
01
10
01
11
10
10
00
01
10
10
01
11
01
10
00
00
00
01
10
00
01
10
10
11
10
01
00
11
00
01
11
10
00
10
10
01
01
10
10
10
11
10
01
00
11
00
00
00
11
10
10
01
00
11
10
00
00
10
00
10
10
01
00
00
10
10
10
10
01
01
00
10
10
00
00
10
11
10
01
01
11
01
00
01
00
11
10
11
01
01
10
10
10
01
10
10
00
00
10
00
10
00
11
00
00
00
11
00
11
00
00
11
01
10
00
00
11
10
11
10
11
00
11
01
01
01
11
00
00
00
01
10
10
10
10
10
00
01
00
00
11
11
01
10
10
00
00
00
01
01
11
11
01
10
00
00
00
10
11
00
00
10
01
10
11
01
00
10
00
00
10
00
01
01
10
10
11
11
10
00
10
11
00
00
01
00
01
00
11
10
01
10
10
00
00
10
11
00
00
11
00
01
10
01
11
10
00
00
10
11
00
00
00
00
10
10
00
10
11
00
10
11
00
00
10
00
00
11
11
11
00
01
10
11
00
00
10
10
00
10
10
01
11
11
11
01
00
00
00
10
10
00
10
10
01
00
01
01
11
00
00
01
10
11
10
11
01
00
00
01
11
01
00
10
11
10
10
10
00
00
10
00
00
10
11
00
10
00
01
11
00
00
11
00
01
10
10
10
10
00
00
10
01
00
11
00
00
00
10
10
11
10
00
00
10
01
00
10
10
00
01
10
01
01
00
10
00
00
10
00
01
10
10
00
10
00
11
10
00
01
00
00
00
00
11
00
00
00
00
01
10
11
00
00
10
11
10
00
11
10
01
10
11
10
10
01
10
10
00
00
10
11
11
00
01
11
00
00
10
11
10
00
00
11
01
11
10
00
11
11
10
11
00
00
00
00
10
10
01
10
00
01
00
11
10
11
11
00
10
01
01
11
00
00
10
00
01
00
10
11
01
10
01
00
01
10
00
00
00
10
10
00
01
01
01
00
00
10
11
00
01
10
10
10
11
10
10
01
01
10
00
00
10
01
00
10
10
00
01
10
01
10
10
11
10
00
01
01
01
00
00
00
10
10
11
11
11
00
00
00
00
10
11
11
00
00
11
01
00
11
11
00
00
11
00
01
00
10
10
00
10
10
11
00
10
01
11
01
10
10
00
01
00
00
10
10
10
00
11
10
00
00
00
00
00
01
10
11
10
10
11
10
10
00
01
01
00
11
10
11
00
10
10
10
11
00
00
00
11
11
00
11
11
10
11
00
00
00
11
10
11
11
00
01
11
00
11
10
10
10
00
01
00
10
10
11
10
00
10
10
01
00
00
10
01
01
00
00
00
10
10
00
01
10
00
01
10
11
00
00
10
00
11
01
11
10
01
01
00
01
10
11
00
00
10
00
00
10
11
11
10
00
10
10
10
11
10
01
10
10
00
10
11
10
00
00
00
00
00
01
10
10
10
10
10
01
10
00
00
00
10
11
11
10
10
01
10
10
00
00
10
10
01
00
10
00
10
00
00
01
00
11
10
00
11
00
10
00
10
00
10
10
00
00
11
10
11
10
10
00
11
10
10
11
10
00
10
10
00
11
01
10
00
01
10
11
01
00
10
10
00
10
00
00
10
11
00
01
11
00
01
11
00
11
01
00
00
00
10
10
10
00
00
10
01
10
11
11
10
00
01
01
01
00
10
01
00
10
10
00
00
01
00
10
01
00
10
10
10
11
01
10
00
00
00
11
10
10
01
01
00
10
10
10
01
00
00
00
01
10
10
00
10
11
10
10
11
10
10
10
01
01
11
10
00
10
00
00
00
11
01
10
10
11
11
10
10
11
00
01
10
11
00
11
10
00
10
10
10
10
11
10
11
00
10
00
01
10
01
10
10
00
11
00
01
00
00
10
01
11
10
00
00
00
10
10
01
01
10
10
10
11
00
10
11
00
00
11
00
11
00
10
01
00
10
11
00
00
10
11
00
00
10
11
00
01
11
00
00
01
00
10
11
00
11
11
00
00
00
10
10
00
10
11
00
10
01
10
11
10
00
00
00
11
10
11
00
11
10
10
10
00
00
10
10
10
01
00
11
10
01
00
10
00
00
00
01
01
10
11
00
00
11
10
11
01
00
10
01
01
11
00
01
10
01
00
11
10
00
01
00
10
10
00
00
10
00
10
00
00
01
00
11
01
10
00
10
10
10
10
00
00
10
11
10
00
01
00
11
11
00
01
10
10
00
10
11
11
11
01
00
00
11
10
00
00
00
10
00
10
10
10
00
01
00
00
11
10
00
01
00
10
10
10
00
01
01
10
11
10
10
11
10
01
00
10
00
00
10
10
11
00
10
00
00
10
00
10
01
00
00
00
11
11
01
00
11
10
10
10
01
00
10
10
00
00
10
01
11
11
00
00
11
10
11
01
11
11
11
01
00
10
10
10
00
01
01
01
01
00
10
00
00
10
00
01
10
10
00
01
10
01
11
10
10
10
10
01
10
10
00
01
01
00
00
00
10
11
00
01
10
11
10
10
11
10
00
11
01
01
10
00
11
00
00
10
00
01
01
00
00
11
10
10
00
11
10
01
10
00
11
01
11
11
11
01
01
11
10
00
01
10
10
00
01
10
00
10
10
00
01
10
10
11
00
11
00
10
00
00
00
11
00
01
00
00
10
00
11
10
10
00
00
11
00
00
11
00
00
11
10
01
00
00
10
00
00
00
00
11
01
00
00
10
01
00
00
10
01
00
10
00
10
00
10
10
00
01
01
00
10
11
01
11
10
00
00
11
10
00
10
10
00
10
00
00
00
00
10
00
00
01
11
00
01
00
00
10
10
10
00
00
10
10
10
00
10
00
10
10
10
10
10
11
00
00
10
10
10
10
11
01
00
01
01
00
10
00
10
10
10
00
11
10
00
01
00
00
01
10
00
10
10
00
00
10
00
10
10
10
00
01
10
00
11
00
00
00
00
10
10
01
01
10
10
11
01
10
10
11
00
11
01
00
00
01
11
10
01
11
01
01
01
11
10
11
00
00
10
10
10
00
11
10
00
01
00
10
10
11
00
00
10
11
00
11
11
01
00
11
00
01
00
10
10
00
10
10
10
01
11
11
00
00
11
00
01
10
11
01
00
00
11
01
11
10
00
00
00
11
00
10
11
00
11
00
00
10
11
00
10
00
01
01
10
01
10
01
01
00
10
10
00
10
10
00
10
00
00
10
01
11
01
11
01
01
10
10
10
00
00
01
11
00
00
11
01
01
00
00
10
10
01
10
00
10
10
10
11
11
00
10
01
10
10
11
10
11
00
00
00
10
10
10
10
01
01
01
11
00
10
10
11
00
10
11
01
00
11
00
00
00
10
00
10
10
00
00
11
10
01
10
10
10
10
00
00
10
11
10
00
01
10
01
10
00
00
10
01
11
10
00
10
00
10
11
00
10
10
11
00
10
11
00
10
00
11
10
00
01
01
00
10
10
10
01
00
11
10
10
10
00
10
11
00
01
00
11
01
10
10
10
00
11
01
00
10
00
11
10
01
10
00
01
00
00
10
10
00
01
10
10
10
00
11
10
01
01
00
00
10
01
01
10
11
00
01
00
00
00
00
00
00
10
10
01
10
01
10
10
01
11
10
00
00
11
00
11
00
00
10
00
10
00
10
11
10
10
10
11
01
11
01
01
00
01
10
00
11
10
01
01
00
01
01
10
10
00
00
10
11
00
01
01
00
10
01
10
11
01
11
10
00
10
01
00
11
01
00
00
10
10
10
10
01
00
10
10
10
11
10
00
00
00
00
10
10
00
11
10
00
11
10
10
01
01
10
00
01
10
11
00
00
01
10
10
00
11
10
10
10
00
10
00
10
00
10
10
00
11
11
01
00
00
00
10
00
00
11
11
11
11
01
01
00
11
10
10
00
00
10
00
11
10
10
01
11
10
00
10
10
00
01
11
00
01
10
10
00
00
00
10
10
00
11
11
00
11
11
00
10
10
11
11
10
01
11
00
01
00
00
11
10
00
01
00
10
00
00
10
11
00
01
10
00
11
10
00
10
00
00
01
10
00
00
10
10
11
01
10
10
10
00
10
11
10
11
00
00
00
10
11
10
00
00
10
10
11
10
01
11
11
10
00
10
00
00
11
11
01
00
10
10
10
00
10
01
01
01
11
00
01
00
00
11
10
00
00
00
10
10
00
00
11
10
10
01
01
10
00
01
00
01
10
11
10
00
00
00
00
10
11
00
01
01
10
00
10
10
11
10
00
01
10
01
01
10
10
00
11
00
10
11
00
00
00
01
01
10
10
10
10
00
01
11
11
11
10
00
01
00
00
01
11
01
10
10
00
11
10
10
10
00
01
00
00
10
10
01
11
00
00
00
10
10
00
10
01
10
00
00
00
10
10
10
00
10
10
00
00
00
00
01
10
10
01
01
00
00
10
10
11
11
00
00
10
00
11
10
11
10
01
00
10
11
10
00
00
00
11
00
01
00
11
10
01
01
10
10
10
01
01
11
11
10
00
00
10
00
00
11
10
11
00
00
01
00
10
10
10
01
11
10
01
00
01
10
01
10
10
11
00
01
00
10
11
01
11
10
10
00
10
10
00
10
10
10
10
10
00
10
11
00
10
00
00
11
00
11
00
10
11
00
11
00
11
00
00
10
11
10
00
11
00
01
10
01
10
00
00
10
00
00
10
10
11
00
00
00
01
00
01
10
10
00
00
10
00
00
11
10
00
10
01
00
10
10
01
10
10
10
10
11
00
01
01
00
11
10
01
00
00
00
00
11
01
10
01
00
10
01
10
11
01
00
00
00
11
01
11
11
01
01
10
10
10
10
00
00
10
10
01
00
00
10
00
00
10
11
01
00
10
00
11
01
00
10
00
00
01
01
01
10
00
11
10
11
10
11
00
10
01
00
10
00
11
11
00
10
11
00
00
10
11
10
01
00
00
10
11
00
11
00
10
00
01
00
00
00
10
11
10
01
01
00
10
01
11
01
00
11
11
10
01
00
10
11
00
10
01
11
10
11
00
00
00
10
10
10
01
10
10
00
01
01
11
01
00
00
10
10
01
00
10
11
10
10
10
11
00
00
10
11
11
11
00
00
10
10
00
00
10
10
10
01
00
10
11
10
11
00
11
00
10
10
00
10
10
00
00
10
10
00
11
00
00
10
10
00
10
10
10
00
11
10
00
11
10
10
00
00
01
10
10
00
01
10
00
10
11
10
10
00
11
10
01
10
00
10
01
00
10
11
00
10
01
10
00
00
10
01
01
10
10
10
11
00
00
11
10
00
00
00
10
01
01
11
00
10
00
00
01
00
00
00
10
10
00
10
10
10
01
11
01
10
01
10
01
11
00
11
10
01
00
00
10
11
10
01
00
00
10
10
10
11
11
01
10
10
10
00
00
11
01
01
11
10
10
00
00
01
10
00
00
10
10
00
10
00
10
11
10
00
11
10
00
10
00
10
00
00
00
10
00
00
00
00
10
00
10
00
11
00
00
11
10
00
10
01
00
11
01
10
00
00
10
10
00
10
11
00
10
11
00
10
10
11
00
10
00
01
10
00
10
10
10
10
00
01
10
10
10
00
10
10
01
10
11
01
10
01
01
10
10
10
00
11
01
01
11
00
10
11
10
00
01
10
00
10
10
10
00
01
10
00
01
10
00
00
10
00
00
01
10
11
01
10
01
01
10
00
10
11
11
01
10
11
10
10
00
00
00
10
10
00
10
01
11
11
00
11
00
01
00
00
00
10
10
10
00
10
11
00
00
00
00
00
11
01
01
01
10
01
00
10
00
11
10
00
00
10
10
11
10
00
10
10
01
10
10
00
00
00
01
10
01
01
11
00
00
01
10
00
11
00
01
10
10
11
11
10
10
00
00
01
00
00
10
01
10
00
00
10
01
00
10
00
10
00
00
10
10
11
10
01
01
00
11
10
01
10
11
01
00
10
00
00
11
11
10
00
01
10
00
10
11
00
00
01
10
11
10
11
00
00
00
11
10
00
01
00
11
10
00
00
01
10
10
11
00
00
10
10
01
10
11
00
10
01
00
10
00
00
10
00
00
00
00
01
10
10
00
11
00
00
11
11
11
01
11
11
00
00
00
00
10
00
10
10
01
10
01
01
00
10
10
11
00
01
11
01
00
11
10
01
00
10
01
01
10
10
01
11
10
10
01
00
11
10
11
10
10
01
00
10
10
10
01
00
00
10
10
00
00
00
00
11
10
00
10
10
00
00
10
10
10
00
01
10
01
01
00
11
10
01
00
00
10
10
10
00
01
11
11
01
01
10
01
11
10
01
11
00
01
01
00
10
10
11
11
10
00
00
01
11
01
00
10
10
00
11
01
10
10
00
10
11
00
00
11
11
10
10
11
00
10
00
00
01
11
10
01
00
10
10
11
01
00
00
10
11
00
11
10
10
11
10
01
00
00
00
00
01
11
11
01
00
00
00
10
11
10
00
11
10
00
00
00
11
10
00
00
10
10
10
00
00
00
10
10
11
01
00
11
00
00
00
00
11
01
01
10
00
11
00
00
10
10
01
10
01
01
00
10
10
01
00
10
10
01
00
10
00
00
10
10
11
10
10
10
00
01
10
10
10
01
10
11
11
00
00
10
00
00
11
10
00
00
11
10
01
00
00
11
10
10
00
00
10
10
00
00
10
10
00
10
00
10
11
00
00
00
10
00
00
10
11
10
00
01
01
01
11
00
10
10
10
00
00
00
11
10
01
11
10
11
00
10
00
11
10
01
00
01
10
11
01
00
00
00
01
10
10
00
11
00
10
11
00
01
10
01
01
00
10
10
00
00
00
10
00
01
10
10
11
00
11
01
00
10
10
10
01
00
11
01
10
00
01
00
10
10
00
10
00
10
01
00
10
11
00
00
10
10
10
10
00
00
01
10
11
00
00
10
01
10
11
01
11
11
10
00
11
10
00
00
10
01
00
01
00
10
10
10
11
11
11
11
00
01
11
00
00
11
10
10
10
01
10
11
10
10
00
00
00
00
00
10
10
00
10
10
10
00
00
00
10
11
01
01
00
11
10
01
10
11
01
01
01
01
00
11
10
00
01
10
00
00
01
10
01
10
10
10
10
10
00
00
01
01
10
00
00
11
10
01
01
11
10
00
10
10
01
00
00
10
10
10
01
10
00
00
10
00
01
11
10
10
01
01
01
00
10
00
00
10
01
11
11
10
00
01
11
10
01
00
11
00
10
01
01
00
11
10
01
10
10
10
10
00
01
00
10
00
10
10
00
11
01
10
01
01
00
10
10
10
01
00
10
10
00
00
00
00
11
10
00
10
00
11
10
11
00
00
10
00
00
01
10
10
10
10
00
00
01
01
11
00
01
00
00
10
10
00
01
10
11
10
00
01
00
01
10
11
01
01
00
00
10
10
00
01
10
00
10
10
10
10
10
11
10
10
00
00
10
10
00
10
10
00
10
01
00
00
10
00
00
11
11
10
10
10
00
01
00
01
10
11
10
00
10
10
10
00
10
11
01
10
00
00
01
11
10
10
01
10
00
00
10
11
11
00
11
00
00
11
00
01
10
10
01
11
11
11
10
10
10
10
00
00
10
01
00
01
10
00
11
00
00
10
10
10
11
01
01
00
11
10
01
10
01
01
10
00
00
10
10
10
00
11
01
00
11
00
01
10
01
00
00
01
10
10
00
10
00
11
10
11
11
10
11
00
00
11
10
00
10
11
01
00
00
10
10
11
10
00
01
10
10
10
00
10
01
00
10
11
10
10
10
00
00
00
10
00
11
01
10
10
01
11
10
01
10
01
10
11
10
01
00
10
10
00
00
11
00
01
11
10
01
00
11
10
00
00
00
00
00
10
10
00
00
00
10
00
10
10
11
10
00
10
10
10
00
10
01
01
10
01
11
01
10
00
00
01
10
10
10
00
00
00
01
10
00
10
00
01
00
01
11
00
01
00
11
10
10
10
00
01
00
10
10
01
00
11
00
01
10
10
01
00
00
00
10
10
00
10
10
10
11
00
01
01
01
01
10
10
01
00
10
00
10
11
01
01
10
01
10
11
00
10
00
00
10
11
01
01
10
00
11
01
11
10
01
10
10
10
01
01
11
10
10
10
10
01
10
10
00
00
00
00
10
10
10
00
00
01
00
10
00
10
00
00
10
00
00
11
10
11
10
10
00
00
01
10
01
10
10
00
10
11
10
11
01
11
11
11
00
01
00
00
10
10
00
11
11
00
10
01
00
10
11
00
01
10
11
00
11
10
00
00
10
11
01
11
10
01
00
00
00
00
01
10
10
10
00
10
01
01
00
01
01
10
01
11
00
00
01
10
11
11
00
10
10
01
00
10
11
10
00
01
10
10
10
10
01
10
01
10
10
10
10
10
00
00
10
00
00
10
01
00
11
00
10
00
01
10
00
00
11
10
10
11
10
00
10
01
00
11
11
00
11
00
00
10
00
00
01
10
10
11
01
00
10
00
01
00
01
10
00
10
00
10
10
01
00
11
10
11
10
01
10
10
10
01
01
10
10
01
10
00
00
01
11
10
00
10
00
00
11
00
10
10
10
10
01
10
11
00
10
00
01
00
01
01
10
01
00
10
01
11
11
11
11
00
10
00
10
10
01
00
10
10
00
10
00
10
10
00
10
10
00
11
00
10
00
10
11
00
11
00
10
01
01
10
10
01
01
11
10
10
10
00
11
10
00
00
11
00
00
10
01
00
10
00
10
11
00
10
10
11
01
10
10
00
10
11
10
10
01
10
00
10
10
10
01
10
11
01
10
10
01
11
10
01
01
11
00
01
10
10
00
00
10
01
00
10
11
10
11
00
00
00
11
10
01
00
01
10
00
00
10
00
10
01
00
10
10
11
01
01
01
00
00
00
10
10
00
00
00
10
11
00
11
10
01
01
10
10
10
11
00
10
11
01
00
10
10
00
10
11
01
10
10
00
10
10
00
01
10
00
00
10
00
10
00
00
10
10
11
10
00
10
11
00
10
11
00
00
00
11
10
00
00
10
01
00
00
01
00
01
00
10
11
00
10
10
11
00
00
11
10
11
00
00
10
01
11
10
00
00
10
00
10
11
01
01
10
01
01
10
10
00
01
10
11
00
01
11
01
00
10
00
00
00
10
11
10
11
11
10
10
00
00
11
00
10
10
00
11
01
00
10
10
00
10
10
00
11
00
10
00
10
01
00
01
01
00
10
11
10
00
10
10
00
10
00
01
10
10
11
00
00
11
10
00
00
11
10
10
00
00
00
10
01
00
00
00
10
11
10
00
11
11
00
11
10
00
00
10
10
11
10
10
10
00
00
00
00
00
10
00
11
11
11
10
01
11
10
00
01
00
00
11
10
11
01
11
11
00
11
10
00
11
01
00
10
10
00
10
00
11
11
10
01
00
01
10
10
00
10
10
00
00
10
10
11
10
00
01
01
11
00
10
11
10
10
01
11
11
10
10
00
00
10
11
00
00
10
11
00
11
00
01
00
00
11
10
00
11
00
00
10
10
11
10
10
11
01
01
10
11
00
01
11
10
00
10
11
01
10
00
00
11
10
01
10
10
00
11
10
00
00
10
10
11
01
10
10
11
00
11
10
00
00
01
11
00
11
10
00
11
00
10
10
01
00
00
10
11
00
10
10
01
11
00
11
10
10
10
10
00
10
00
01
10
01
10
00
00
11
10
00
00
11
11
00
10
10
11
00
00
10
11
11
00
10
10
10
01
10
10
01
10
00
01
00
00
10
10
01
10
11
00
10
11
00
10
10
10
01
10
01
00
10
00
01
10
11
10
00
11
00
10
11
01
01
10
11
10
01
11
01
00
11
10
10
00
00
10
10
00
01
10
00
01
10
00
10
10
00
01
01
11
11
01
00
10
00
01
00
10
10
00
00
01
11
00
00
10
10
11
01
01
11
00
10
10
00
00
11
10
01
10
10
00
01
10
00
11
00
01
10
10
01
11
11
10
00
10
00
10
10
11
01
00
11
01
00
11
11
11
00
10
01
10
11
10
01
00
10
11
00
00
00
10
10
10
00
10
10
00
01
00
00
00
10
01
11
00
11
01
00
10
10
10
10
00
00
10
10
00
10
10
10
11
10
01
10
11
10
11
00
01
00
10
11
00
00
00
10
11
10
10
00
10
10
01
10
11
01
10
00
10
01
01
10
10
00
00
10
10
10
01
01
11
11
11
11
10
11
01
10
10
01
01
10
10
01
10
11
10
00
01
00
11
10
01
11
10
11
10
01
00
10
11
00
11
00
10
00
00
10
00
11
10
00
01
10
10
11
10
10
11
10
00
00
00
00
00
10
00
00
01
11
11
01
11
11
01
00
00
00
10
10
10
00
00
11
01
01
11
00
00
11
10
00
10
10
10
11
01
01
01
01
10
10
00
01
10
10
01
00
10
10
10
11
01
01
01
11
00
10
10
10
00
00
00
10
10
11
00
00
10
11
10
10
01
00
00
11
01
10
01
01
00
10
11
00
00
10
10
10
01
10
00
11
10
10
00
01
00
10
10
11
10
10
10
01
00
10
00
01
11
10
10
00
11
10
01
11
00
00
01
10
10
10
00
11
10
00
01
00
00
10
11
10
00
10
10
10
01
11
10
10
01
10
01
01
10
01
11
10
00
00
00
10
10
00
00
01
10
00
10
10
00
00
11
10
11
00
00
11
11
00
00
11
01
10
01
10
10
00
10
01
00
11
01
00
01
00
11
10
00
00
10
00
00
11
10
10
10
10
10
10
10
01
00
10
00
00
10
10
00
11
10
01
10
00
11
10
10
10
10
00
10
10
01
10
10
10
00
01
01
00
01
00
00
10
11
00
01
10
10
00
00
00
10
10
00
10
01
10
11
01
01
11
10
00
10
00
10
00
00
01
11
01
00
00
00
00
00
00
01
10
01
10
10
01
10
10
00
10
11
00
00
00
01
00
11
11
10
11
11
10
11
00
01
00
01
11
01
10
01
10
10
00
00
11
11
01
00
00
01
11
00
10
11
00
00
00
11
00
10
11
00
01
11
00
10
10
00
10
10
00
00
00
10
00
00
01
00
01
10
10
10
00
00
10
11
00
10
00
01
00
10
10
00
00
11
00
10
10
00
00
00
10
10
10
10
10
00
00
01
10
00
00
01
10
01
11
10
11
11
01
01
01
10
00
01
00
00
11
10
00
11
00
00
11
11
01
00
11
11
01
11
10
01
01
10
10
00
10
10
00
00
11
10
11
01
01
10
11
10
01
10
00
00
10
10
11
11
00
00
10
00
00
10
11
00
00
10
00
10
11
01
10
11
01
00
01
10
00
11
01
01
11
10
00
00
00
01
10
11
00
00
00
00
10
00
00
10
10
00
11
00
00
11
11
01
00
10
00
00
10
10
01
10
10
00
00
10
10
10
00
00
11
01
00
00
00
00
00
10
11
10
00
00
00
00
00
10
10
00
10
00
11
11
10
11
10
00
00
01
00
10
00
00
00
10
00
11
10
00
10
01
00
10
11
11
11
00
10
01
01
10
00
01
00
11
10
10
01
00
00
00
11
10
10
01
01
11
10
01
10
10
00
10
10
00
10
11
10
01
01
10
11
10
01
11
10
10
10
10
00
01
11
10
11
10
11
10
10
00
11
10
00
00
00
00
01
10
10
00
10
00
00
00
00
01
00
10
00
10
00
10
10
01
11
00
00
11
10
00
00
10
01
10
00
01
01
00
00
01
10
10
10
10
10
10
00
01
10
11
01
10
00
10
00
01
10
11
00
01
10
10
11
00
11
01
10
11
00
01
11
00
00
10
00
01
00
10
10
10
00
10
11
00
00
10
10
01
10
11
10
11
01
01
11
01
01
11
00
00
00
10
00
00
10
00
11
11
10
00
10
10
01
10
00
10
10
00
11
00
01
10
11
00
00
00
00
00
11
10
00
10
11
01
00
00
00
10
11
00
10
10
00
10
00
00
10
00
01
10
01
11
10
10
00
00
00
00
10
10
00
11
01
01
00
00
11
10
10
10
00
01
10
11
10
10
10
01
10
10
11
01
10
10
00
10
10
00
10
11
01
00
11
00
10
01
10
11
11
01
10
01
00
10
01
00
10
10
10
00
10
00
10
00
00
00
01
10
10
01
00
00
10
10
10
00
10
00
11
10
00
10
01
10
00
10
10
00
00
01
01
10
11
10
10
10
10
00
10
00
00
01
01
11
01
00
10
01
00
11
10
01
01
10
10
00
11
10
11
10
10
00
11
00
00
00
00
01
01
11
10
10
00
01
10
01
10
01
00
00
00
10
00
11
01
00
00
10
10
10
00
10
10
11
00
10
00
00
00
10
00
10
00
10
00
00
01
10
10
10
10
10
00
00
01
01
01
10
10
00
10
11
10
00
00
01
10
00
11
10
11
10
01
01
11
10
10
01
00
01
00
11
10
00
11
00
00
10
10
01
00
11
10
11
10
00
01
11
11
00
01
01
00
00
11
10
00
01
10
10
00
10
10
10
00
10
00
00
00
10
00
00
10
11
01
01
10
00
10
10
11
01
00
11
10
00
11
00
10
00
11
11
10
00
00
00
10
11
00
10
10
00
11
01
00
10
00
10
11
00
01
10
10
01
10
10
01
00
10
10
10
00
00
00
01
00
10
00
11
01
10
11
10
10
10
10
01
10
11
01
00
11
10
01
10
11
11
10
01
00
00
10
10
11
01
01
10
00
01
00
11
10
11
00
10
00
00
11
10
10
00
10
00
01
00
10
10
00
10
00
10
00
10
10
01
10
00
00
00
01
10
01
00
10
10
00
01
10
10
10
01
10
10
00
11
01
00
00
11
00
11
10
11
11
00
01
10
00
00
00
11
00
00
11
00
01
10
11
00
01
10
00
00
00
10
10
11
00
01
11
00
00
00
10
10
10
10
00
01
00
01
00
01
00
00
10
00
00
10
10
01
11
01
10
10
10
10
10
10
01
10
10
00
11
10
11
01
11
00
00
10
01
11
00
10
10
00
10
10
11
10
01
00
10
00
00
00
11
11
00
11
00
11
10
00
10
10
00
00
01
10
10
01
01
11
01
11
10
10
11
00
01
10
11
00
10
10
10
10
00
01
11
10
11
01
10
01
00
10
10
00
01
00
01
10
01
10
11
01
00
01
10
10
11
10
01
10
01
00
10
10
00
00
10
00
00
10
11
10
00
00
11
11
11
00
10
00
10
10
01
01
10
10
00
01
10
10
11
00
01
11
10
00
01
00
00
10
11
11
10
01
00
00
01
10
10
00
00
10
10
11
01
01
11
10
01
01
00
10
00
00
10
00
10
10
10
00
01
00
11
00
10
00
00
11
00
10
01
00
00
10
10
10
10
11
00
00
11
00
10
00
01
00
10
11
01
00
11
10
11
00
00
00
10
10
01
00
10
10
00
11
11
01
00
11
10
10
10
10
01
00
11
10
01
10
00
10
10
00
10
00
00
11
10
10
10
00
01
00
10
10
10
10
00
00
10
10
01
00
00
00
00
01
11
00
10
00
00
10
00
10
10
00
00
10
01
01
00
01
00
11
00
01
10
11
10
10
10
01
00
10
00
00
10
10
11
10
10
10
00
00
00
00
00
01
01
01
11
01
11
10
00
10
11
01
00
11
10
00
01
00
11
11
10
00
11
10
10
00
01
01
00
00
10
10
00
01
10
01
00
10
00
01
00
11
00
10
10
11
10
00
01
11
10
01
10
11
00
10
01
10
11
01
01
10
01
00
10
10
00
10
10
10
01
11
01
00
00
00
00
10
10
10
00
10
11
10
01
00
10
00
10
00
00
00
10
10
01
11
01
10
11
01
10
00
10
11
00
10
10
00
00
10
00
11
00
11
10
10
00
00
10
10
01
00
10
10
11
11
10
01
01
10
00
01
10
10
00
00
10
10
00
00
10
00
10
10
10
01
10
11
00
01
11
10
11
11
10
00
10
11
00
01
10
10
01
01
01
00
00
10
01
10
10
01
10
10
10
00
00
10
00
01
10
10
01
01
10
10
01
01
11
10
10
01
11
11
01
10
10
01
10
00
11
10
00
00
01
11
11
01
11
11
10
00
00
10
11
01
00
11
00
01
11
11
00
10
10
00
10
10
11
00
00
01
00
00
00
10
11
10
10
01
00
11
00
00
00
00
10
10
10
00
10
11
00
10
00
10
01
10
00
00
11
10
01
00
00
00
10
01
10
11
00
10
11
11
00
11
00
11
01
00
10
10
10
00
11
01
11
11
10
10
00
10
11
00
00
10
10
00
00
01
00
10
11
00
00
00
10
10
10
00
00
10
11
00
10
10
11
00
00
00
11
00
01
10
01
01
10
10
10
01
01
01
10
10
11
10
00
00
01
10
11
10
10
00
10
00
00
10
10
11
00
10
00
10
01
00
11
10
10
00
00
00
11
00
01
11
10
00
01
10
10
01
00
01
10
10
00
01
10
10
10
00
00
01
00
10
00
10
00
10
11
01
00
10
00
01
00
10
10
01
00
11
11
11
10
00
00
01
01
11
11
10
00
01
00
10
11
00
00
00
11
01
10
11
00
10
10
00
11
11
10
10
11
01
01
10
10
00
01
11
01
00
10
11
10
10
00
10
10
11
10
10
11
01
00
10
00
01
10
10
10
10
10
00
01
00
01
00
01
10
00
10
10
00
00
00
11
10
00
01
10
00
01
01
10
10
00
11
01
00
10
11
01
11
00
01
10
01
01
01
11
10
00
00
10
10
10
10
00
00
00
11
10
10
11
10
10
01
00
11
01
10
01
00
00
10
10
10
10
01
00
10
01
10
00
01
11
10
11
00
00
10
10
00
01
11
11
11
10
10
00
00
00
10
11
01
01
10
00
01
10
00
01
11
10
11
00
00
11
00
00
10
00
00
00
10
10
10
00
10
10
00
10
00
10
01
00
11
01
01
10
10
01
10
11
11
10
00
11
00
00
01
01
10
10
01
10
10
00
00
00
00
10
10
10
10
10
11
00
00
10
11
00
00
10
10
10
00
00
00
10
10
10
00
00
00
00
00
11
11
10
01
10
10
00
10
01
10
00
01
00
11
10
00
00
01
00
00
00
10
11
10
01
00
00
10
00
10
10
01
00
01
01
01
10
11
00
10
00
10
11
00
00
10
11
10
00
01
00
10
10
11
00
00
01
00
00
10
10
11
11
00
10
00
00
01
00
00
00
00
10
10
01
10
01
01
11
11
01
01
00
11
11
11
00
00
00
00
10
11
11
00
10
00
11
01
11
10
00
01
10
11
00
00
11
11
01
10
00
00
10
01
00
10
10
01
10
00
11
01
01
11
00
11
10
00
10
10
00
01
10
00
10
10
00
01
00
10
00
10
11
10
00
10
11
00
00
00
11
11
00
10
10
00
01
00
00
10
01
10
01
00
11
10
10
00
10
11
01
10
11
00
00
10
10
11
01
00
11
01
01
01
00
10
10
00
10
10
00
00
11
01
11
00
00
01
11
10
00
10
11
10
11
00
10
10
00
11
00
10
10
00
01
11
10
10
10
00
11
01
01
01
10
00
01
10
10
10
00
00
11
10
01
10
10
00
10
10
00
01
10
10
01
00
10
11
01
00
00
10
11
00
01
11
10
10
10
11
01
00
00
00
01
10
01
01
11
00
01
00
10
11
00
11
10
10
00
00
00
11
11
01
00
10
00
10
10
11
10
10
00
10
00
10
10
01
10
10
00
01
10
11
10
10
00
00
01
10
11
01
01
01
11
10
00
00
10
11
00
01
10
10
00
00
10
11
10
00
00
11
10
00
00
10
00
01
00
00
10
00
10
00
11
00
01
11
10
10
00
10
11
01
00
10
10
10
11
00
00
10
10
00
00
00
00
10
10
10
00
11
00
01
00
00
00
11
01
00
01
01
00
11
10
01
00
10
10
10
00
00
00
11
10
11
00
01
10
00
00
11
00
00
11
10
00
01
00
10
10
11
00
10
10
00
01
11
01
00
10
10
11
10
10
10
01
00
00
11
00
00
00
01
10
10
11
00
11
10
01
10
10
11
01
11
00
00
01
00
10
00
01
10
10
00
00
01
10
10
10
00
00
10
10
10
00
00
00
00
00
01
00
10
11
10
10
00
00
10
10
00
10
00
10
11
01
10
11
10
10
11
10
00
00
00
11
00
01
10
10
00
11
00
01
00
10
11
00
00
11
11
00
00
00
00
10
10
00
10
00
10
00
01
00
10
11
01
00
10
01
10
11
01
00
00
10
00
10
11
11
00
10
10
10
10
00
10
00
01
10
11
10
11
11
00
11
10
00
01
10
10
01
00
10
01
11
10
10
00
00
10
00
11
10
00
00
01
00
10
11
00
11
10
00
10
10
01
10
00
10
10
00
00
11
10
10
01
10
00
00
10
11
00
01
00
00
00
00
01
10
10
00
10
10
01
01
01
00
10
10
10
00
01
01
10
11
00
10
00
11
10
11
10
00
00
10
10
00
10
10
11
00
00
11
10
11
10
10
10
11
00
10
10
10
10
10
01
00
01
00
10
01
10
10
11
01
01
00
10
10
10
10
10
00
00
11
10
10
00
10
00
00
00
00
00
10
10
10
10
11
10
00
11
11
10
10
11
11
10
00
11
01
11
10
10
10
01
00
00
00
00
00
00
01
11
11
00
00
10
01
10
00
01
11
00
10
00
01
11
10
11
10
00
00
00
00
01
10
10
10
01
10
00
10
01
01
00
00
00
00
11
00
11
00
10
10
11
00
11
11
01
11
11
11
01
01
11
01
01
10
10
00
00
10
10
01
01
11
11
00
00
10
01
01
00
00
11
10
01
11
00
00
00
00
10
00
00
10
11
00
11
00
01
00
01
10
10
10
01
10
00
10
00
00
10
10
10
00
01
11
00
01
10
10
00
11
00
10
00
00
10
10
10
10
10
00
01
10
00
00
11
10
10
00
00
01
01
11
00
00
00
10
10
01
10
11
01
10
11
11
00
01
11
01
01
00
10
10
11
01
01
10
00
10
00
00
10
00
01
01
01
10
10
01
00
10
10
11
01
10
10
01
10
01
10
00
01
00
10
10
11
00
11
00
11
11
01
00
10
10
00
01
00
01
10
10
10
00
10
10
01
11
01
10
01
10
11
00
11
10
00
11
01
10
00
01
01
01
10
10
01
00
00
10
11
00
11
10
01
00
00
00
11
10
11
00
00
10
10
01
01
10
10
10
10
00
10
10
01
11
10
01
10
00
10
00
00
00
10
10
10
11
10
01
10
10
10
00
00
10
01
10
00
00
11
00
10
00
00
00
10
10
10
10
00
11
01
00
01
00
01
11
01
10
10
00
10
11
00
00
10
11
00
00
01
00
10
00
11
10
11
00
10
11
11
10
00
10
00
01
00
11
10
00
10
10
00
00
11
11
01
01
00
11
00
01
11
10
01
01
10
01
00
11
11
01
00
00
10
11
11
11
11
10
00
00
10
00
00
01
10
11
10
10
00
00
00
10
01
00
00
10
00
00
11
01
00
10
10
10
10
00
00
11
11
00
11
10
00
10
10
00
10
01
00
01
10
10
00
00
01
10
00
00
10
10
10
10
01
00
11
00
10
10
11
01
00
00
11
01
10
00
11
11
00
10
11
11
00
10
10
11
11
01
01
00
00
10
00
10
10
01
00
10
11
01
11
11
11
01
10
10
00
00
11
10
00
00
01
00
00
00
10
10
10
00
00
01
01
10
00
11
00
01
00
10
10
10
00
10
11
00
10
00
10
11
00
00
01
10
10
11
01
00
01
00
11
10
00
11
10
00
01
11
10
10
01
00
01
01
10
10
00
10
01
11
10
00
10
00
00
11
00
10
00
00
11
10
00
10
11
00
10
10
00
10
10
00
10
00
00
00
10
10
00
00
11
11
01
00
00
10
10
00
00
11
00
10
10
11
00
01
00
00
00
00
00
10
00
01
10
10
00
01
11
01
11
01
01
11
11
10
10
10
01
01
10
01
11
11
01
11
11
11
00
00
00
11
11
00
00
10
10
10
10
01
00
10
10
01
10
10
00
10
11
00
10
10
00
00
01
11
10
00
10
00
00
10
00
10
10
01
10
00
00
10
11
00
00
10
00
00
00
10
11
00
10
00
10
00
10
00
00
11
10
10
10
10
11
00
10
00
00
10
10
00
00
11
10
10
10
00
10
00
00
00
11
10
00
00
00
10
01
10
11
00
11
10
11
01
00
11
01
01
11
00
01
11
11
10
11
00
01
10
11
10
11
11
01
00
10
10
11
10
01
00
11
11
01
01
10
01
00
10
00
10
10
00
10
10
01
01
00
10
01
01
00
10
11
10
00
00
00
00
00
10
01
11
11
00
00
10
01
01
01
11
10
01
10
10
10
01
10
10
00
11
00
00
00
10
00
00
11
01
10
11
10
10
00
01
00
11
10
01
10
10
11
10
00
00
10
00
00
00
11
10
00
10
10
10
01
11
10
10
01
10
10
10
01
10
01
01
11
00
10
10
01
00
10
10
00
01
00
10
00
10
00
01
00
00
10
00
01
11
10
11
01
11
10
10
10
10
00
01
00
01
11
11
11
10
01
10
00
10
00
01
10
10
10
01
00
10
00
10
10
10
00
01
10
10
01
00
10
00
00
11
10
00
10
10
00
11
11
10
11
10
00
11
00
00
00
10
11
11
10
10
00
10
01
00
01
01
10
11
00
01
10
00
10
10
00
00
11
10
11
10
01
01
01
10
10
11
00
00
00
10
11
00
11
10
10
00
00
01
10
10
00
00
10
11
10
10
10
10
00
01
01
11
00
00
10
00
11
11
01
01
00
01
00
00
10
00
10
00
10
10
10
11
01
01
10
00
01
11
00
10
11
00
01
10
00
01
10
10
11
00
00
10
10
00
10
10
00
00
10
00
11
10
11
00
00
10
10
11
00
01
10
10
10
11
11
00
01
10
10
00
00
10
00
00
01
01
10
00
01
10
10
01
10
10
10
11
01
11
11
11
10
00
11
00
10
00
00
11
10
10
01
10
11
10
11
10
11
00
11
01
01
01
10
00
00
01
10
10
10
00
10
10
01
11
10
00
01
01
11
11
11
00
01
00
01
10
10
10
10
10
00
01
11
01
11
01
01
00
10
00
11
10
00
01
11
11
11
00
00
10
01
10
01
00
10
10
10
00
00
10
10
00
00
01
10
10
10
01
00
10
00
00
10
00
01
10
10
00
10
11
01
10
00
00
00
01
01
00
10
00
10
11
00
10
11
01
00
00
11
00
00
10
01
00
11
10
10
10
10
10
00
00
10
00
00
00
01
11
01
10
10
10
10
00
01
11
11
00
01
10
00
01
10
00
00
00
11
10
00
10
11
11
10
10
01
01
00
00
10
00
11
11
00
00
10
10
10
10
00
10
10
00
00
00
10
00
10
10
00
11
00
10
01
10
10
00
00
10
00
11
10
00
00
10
10
00
01
00
11
01
11
10
00
11
01
00
11
10
00
01
10
01
00
10
10
01
00
10
10
01
00
10
00
10
11
10
10
01
01
00
00
10
11
10
00
10
01
10
11
01
10
10
00
01
10
00
00
11
10
11
10
11
01
00
10
00
10
10
11
01
00
10
00
00
00
00
10
10
10
00
11
10
01
10
01
10
10
00
00
00
10
10
00
00
10
11
00
10
10
00
01
10
10
00
00
01
10
00
01
11
11
00
00
00
11
01
00
10
10
00
10
10
00
10
01
00
00
10
10
01
11
00
11
01
11
01
00
11
01
01
10
00
00
01
00
00
10
10
00
11
00
10
10
11
00
11
10
01
00
00
10
11
10
00
00
11
11
00
01
11
10
00
00
10
11
00
00
10
01
10
00
00
10
01
00
00
10
10
10
10
10
10
11
00
00
11
10
00
10
10
11
00
00
00
00
11
00
11
00
11
00
11
10
10
10
00
00
11
00
01
00
00
00
10
00
00
11
11
10
00
10
10
10
10
01
01
00
10
00
10
00
01
00
10
10
10
10
11
01
00
10
10
00
11
11
11
00
10
10
00
10
01
10
11
01
00
00
00
00
10
10
01
00
11
00
10
10
00
00
10
01
10
00
00
01
01
00
01
11
01
11
00
11
11
10
10
00
00
01
11
10
00
10
00
00
00
11
00
10
10
00
00
10
10
10
10
01
10
10
10
00
00
10
10
00
01
00
10
10
01
00
10
00
10
00
00
11
11
00
00
00
10
11
11
00
00
00
10
11
11
11
11
01
00
11
01
11
10
01
01
10
11
01
00
11
10
00
01
11
10
11
11
10
00
00
10
00
00
10
10
00
11
10
00
11
10
01
01
00
11
11
00
00
10
10
00
00
00
10
11
00
10
00
10
10
11
11
00
10
11
10
10
11
10
00
00
01
10
10
10
00
10
11
10
11
11
00
10
00
11
11
10
00
01
00
01
01
01
10
10
00
11
10
00
00
00
11
00
00
01
00
10
11
10
00
00
10
00
11
11
10
11
01
10
11
00
10
10
11
01
10
10
00
10
01
00
11
10
10
00
10
01
11
01
00
11
00
10
00
01
10
00
00
10
01
11
10
01
10
00
10
10
11
10
00
00
01
10
10
01
10
01
01
00
00
10
11
00
00
10
00
10
10
00
00
00
10
10
11
00
10
00
00
00
01
10
11
01
00
00
10
00
10
01
00
10
00
11
01
00
00
10
00
00
01
01
10
11
00
01
01
00
10
10
01
10
10
00
00
00
10
00
10
10
00
11
00
11
01
01
00
01
00
00
10
11
10
10
11
00
00
00
00
11
10
00
01
00
11
10
00
10
01
01
00
00
11
10
10
10
11
00
01
10
00
00
00
11
11
01
10
00
00
10
01
00
10
00
00
10
11
00
00
11
00
10
01
10
00
01
10
10
10
11
10
11
10
00
00
00
00
11
10
01
00
01
00
10
11
01
01
10
11
00
01
00
10
01
01
11
00
10
10
10
11
01
00
11
00
01
01
10
10
10
00
01
11
00
10
00
00
00
00
10
10
10
01
01
01
00
10
11
00
11
10
00
01
10
00
10
10
00
01
11
00
10
10
01
00
10
11
00
01
00
11
11
01
00
11
10
00
11
10
00
00
10
11
01
00
01
00
11
00
00
10
11
10
00
00
10
11
00
01
10
00
10
00
11
10
10
00
00
00
00
00
10
10
00
11
10
00
00
00
11
11
10
00
01
10
00
01
01
10
11
10
11
00
01
01
11
10
00
11
10
11
01
01
10
11
00
01
10
11
10
01
00
01
00
10
10
10
11
00
00
00
01
10
10
10
10
10
00
00
00
00
10
11
10
01
00
00
10
10
00
10
10
11
00
01
10
00
01
00
10
10
00
01
10
00
00
01
01
00
00
10
01
10
01
01
10
10
10
10
00
11
01
00
11
11
00
00
01
10
11
00
00
00
01
10
00
00
11
11
10
10
00
00
10
10
00
00
10
01
11
00
10
00
00
10
11
00
01
11
11
00
10
01
11
01
10
01
00
01
10
10
00
10
00
00
00
00
00
10
10
11
01
10
10
10
10
10
00
00
10
01
01
11
01
01
11
11
01
01
10
01
10
00
00
11
11
10
00
01
00
01
00
00
10
01
10
00
00
10
10
00
01
11
11
10
11
00
10
11
11
00
00
01
10
00
00
00
00
00
10
11
01
00
00
11
11
00
00
01
00
10
10
00
11
01
00
00
10
10
01
10
10
01
00
00
11
11
01
11
11
00
00
11
10
10
00
00
01
11
00
01
11
11
11
01
01
11
00
00
01
10
10
00
00
10
10
10
10
00
10
00
00
01
00
11
11
11
00
11
10
01
10
00
10
10
11
10
10
01
11
01
01
01
10
10
11
00
00
11
01
01
10
10
11
00
00
00
10
10
01
01
01
11
01
00
00
10
10
01
10
00
01
11
00
10
10
01
00
10
01
10
10
11
10
00
00
10
11
10
01
00
00
00
00
00
00
10
01
10
10
11
01
11
00
00
10
00
00
10
00
10
10
01
01
10
10
00
01
10
01
00
10
10
00
10
10
11
00
00
00
10
10
10
01
10
01
00
10
10
10
00
01
00
10
10
11
00
10
01
01
10
01
10
00
00
01
00
10
10
01
01
11
01
01
00
10
10
10
10
10
01
10
10
00
10
01
01
10
01
01
11
10
00
01
10
01
01
01
10
01
01
10
10
10
00
00
01
01
10
00
10
01
00
11
10
10
10
01
10
11
10
00
10
00
00
11
00
01
11
01
11
00
00
00
10
10
00
10
11
10
00
11
01
01
10
10
01
01
11
00
11
10
01
10
01
00
00
00
10
10
00
10
10
10
00
00
10
00
00
11
00
00
10
10
00
10
00
00
10
00
10
10
00
00
01
01
10
00
10
00
01
00
10
00
10
10
10
01
10
10
10
10
01
01
11
00
01
11
00
00
11
00
00
01
11
01
10
10
01
00
10
10
10
00
00
11
00
10
10
11
00
10
01
10
00
00
00
00
00
11
10
10
00
11
00
00
01
10
10
00
11
00
10
00
00
10
10
01
01
11
10
10
10
10
10
10
01
00
00
00
00
10
01
10
00
10
10
00
00
10
10
00
01
10
01
00
10
00
11
10
10
01
01
10
01
00
10
10
11
01
00
00
10
10
00
01
10
00
01
10
01
10
00
00
00
10
00
10
10
01
10
11
10
00
10
10
00
11
11
01
10
10
10
10
11
01
11
00
01
10
01
10
10
10
10
10
00
11
00
00
01
01
10
00
10
11
00
00
10
10
10
11
01
00
00
00
10
00
10
00
00
11
00
10
00
00
11
11
11
10
10
01
10
10
01
10
10
10
10
01
00
00
01
00
11
10
11
00
00
11
10
11
00
11
10
01
00
00
10
11
01
11
10
01
00
01
00
10
01
00
00
10
10
00
00
10
10
10
10
00
10
01
11
10
11
01
10
00
00
10
00
00
10
10
01
10
01
10
10
01
10
00
00
11
11
00
10
11
00
10
11
10
00
01
10
00
00
10
00
10
00
01
10
00
01
10
01
10
01
11
00
00
01
01
11
11
11
00
00
00
01
00
00
00
10
10
10
10
11
11
01
01
00
11
11
01
00
10
10
10
11
00
01
10
00
00
00
00
10
00
00
00
10
01
10
01
10
00
11
11
01
00
11
10
11
10
01
01
11
11
01
11
10
10
11
00
00
00
11
10
00
01
10
10
10
10
01
00
10
01
11
10
00
00
10
10
10
11
00
10
10
10
11
10
11
01
01
01
11
01
10
01
01
10
01
01
00
11
11
01
00
10
10
10
01
01
01
10
10
01
10
00
10
00
00
10
10
00
01
10
10
01
01
00
00
11
10
11
01
00
10
10
00
10
01
00
10
11
00
01
01
00
10
10
10
10
00
00
00
00
10
11
10
00
00
01
00
00
10
11
00
10
00
00
11
00
10
10
10
10
11
11
01
10
11
00
01
10
00
00
11
01
11
11
00
10
10
01
00
00
10
10
00
00
10
10
11
01
00
00
00
10
11
00
01
11
10
00
00
00
10
10
00
00
11
10
11
10
01
00
00
00
00
10
11
01
11
00
01
11
10
00
01
00
10
10
01
10
11
00
10
11
11
00
10
00
00
10
10
10
10
10
01
10
01
10
10
11
00
10
11
00
01
01
10
00
00
01
00
10
10
00
00
10
11
11
11
00
00
10
01
01
00
10
10
11
01
01
00
10
10
01
01
00
10
11
01
00
10
00
11
11
00
10
10
10
00
00
00
11
10
01
00
10
11
11
10
01
10
10
00
00
11
11
10
00
01
00
10
10
00
01
00
10
01
10
10
01
00
11
10
10
00
00
10
00
11
10
10
00
10
10
10
10
00
10
01
01
00
11
10
10
10
01
00
01
01
10
00
10
01
01
01
11
10
10
10
10
01
11
11
00
00
11
01
00
01
10
10
11
00
00
10
11
00
00
11
01
11
10
01
00
10
00
01
00
10
11
10
00
00
01
10
10
01
01
10
11
00
10
01
00
11
01
00
11
10
10
00
10
00
00
01
01
01
10
00
00
00
01
01
11
10
10
00
00
10
00
01
10
00
01
11
00
00
00
00
10
11
10
11
11
10
01
10
10
00
10
01
00
10
10
00
11
01
11
01
00
11
11
00
00
10
10
11
00
00
10
00
10
00
00
10
10
00
00
10
10
11
11
00
11
00
00
10
00
10
10
00
00
10
01
01
00
00
11
10
01
11
00
00
01
10
10
00
00
11
10
10
11
00
00
00
00
11
10
00
00
01
10
01
01
10
10
11
01
00
00
10
10
10
01
00
00
01
00
01
00
00
10
00
00
10
00
01
10
11
00
10
01
11
11
00
00
10
00
00
00
10
10
00
00
00
01
00
10
01
10
00
11
01
00
11
10
11
11
01
10
00
00
10
11
00
00
11
11
00
10
10
00
00
10
10
01
00
01
10
00
01
11
00
00
01
10
00
10
11
01
01
01
11
10
00
10
00
00
11
10
00
10
00
10
00
10
10
10
00
00
11
10
00
10
00
00
01
00
11
11
10
00
00
10
00
10
10
01
10
00
10
11
00
01
10
11
00
00
00
00
10
10
01
00
01
11
00
01
10
10
00
10
10
01
10
11
00
00
10
01
00
11
11
01
01
10
10
01
10
00
00
10
10
10
00
10
10
10
00
11
00
10
01
11
10
10
01
00
10
10
01
10
00
11
11
01
00
01
00
10
10
01
00
00
00
10
11
00
11
10
00
00
00
00
11
10
11
00
10
10
00
00
10
00
00
00
11
11
10
10
10
10
10
11
01
01
11
11
10
10
11
11
10
00
00
00
00
00
10
10
00
00
01
11
10
00
10
00
11
00
10
10
11
11
00
00
00
11
11
00
00
00
10
00
00
10
10
01
00
01
10
01
01
00
11
10
00
10
00
00
11
11
00
10
11
11
11
00
00
10
00
11
10
00
10
10
00
00
10
00
10
00
01
11
11
00
00
11
11
10
10
10
00
00
00
11
10
10
00
10
10
10
00
01
10
01
00
10
10
00
00
00
00
11
10
00
00
11
00
01
11
10
10
01
00
10
01
01
01
00
10
00
00
10
00
10
10
00
10
11
00
01
10
10
11
01
11
00
10
10
00
00
01
10
11
00
00
10
11
00
01
00
10
10
10
01
10
10
00
01
10
10
10
01
00
00
10
10
01
10
00
01
00
11
10
00
00
10
00
00
10
11
00
10
11
01
11
10
00
10
01
01
01
00
11
11
10
11
01
10
10
00
00
10
10
00
00
00
11
11
00
11
11
10
10
00
10
11
00
00
00
01
10
11
01
00
00
10
10
10
10
01
11
00
00
10
00
01
01
10
01
10
10
01
10
01
10
10
01
11
10
11
10
01
01
10
11
10
01
10
00
00
11
00
00
01
11
10
01
10
10
10
01
00
10
10
00
01
00
01
01
10
00
00
10
10
10
10
00
00
00
10
00
11
11
11
10
00
01
10
11
01
10
10
00
10
01
10
10
10
00
00
00
01
00
00
10
11
00
11
11
00
10
00
01
01
10
11
00
11
10
00
00
00
01
11
10
00
01
10
11
00
10
00
01
10
11
11
01
00
10
11
10
11
00
01
10
10
00
10
10
00
00
11
00
00
11
10
00
01
01
10
00
00
00
00
10
11
00
00
10
11
00
10
11
01
01
00
10
00
00
10
00
00
10
00
11
00
01
10
01
10
10
00
01
10
11
10
10
00
10
01
00
10
10
11
11
11
00
10
11
01
00
00
10
00
00
11
11
11
01
00
10
01
00
10
00
10
10
01
00
00
10
11
10
00
11
00
10
00
00
10
11
11
00
10
00
10
10
01
11
11
00
11
01
10
10
10
10
01
00
11
10
00
00
00
00
10
01
00
00
11
10
10
10
00
01
00
10
10
11
10
01
10
10
01
00
00
00
10
10
00
01
10
00
00
11
01
11
00
10
10
10
10
00
01
11
00
00
11
11
00
00
11
10
00
11
10
00
11
10
00
00
00
10
00
00
01
01
00
11
10
10
10
00
00
10
00
00
10
10
10
11
11
00
01
10
10
00
11
00
01
10
01
11
10
11
01
01
10
00
00
10
10
00
10
11
00
01
01
11
00
10
10
10
10
00
01
01
00
00
00
10
10
01
01
11
00
01
00
10
10
11
01
00
10
10
10
11
10
00
10
11
10
00
10
00
10
10
00
10
01
00
01
10
11
01
10
01
00
01
10
10
10
10
10
00
11
00
00
01
00
10
10
10
00
00
11
11
11
00
10
00
11
01
00
00
11
11
10
10
10
10
00
10
10
01
00
00
11
11
00
10
00
00
10
00
00
10
00
00
11
10
01
10
00
01
10
10
11
10
01
00
00
01
00
11
10
10
00
00
01
10
01
00
10
01
00
10
10
10
10
01
01
00
10
11
00
01
10
10
10
01
11
10
01
00
00
11
00
00
10
11
01
11
11
10
11
10
01
00
01
11
11
01
10
00
01
00
10
10
00
01
00
10
01
11
11
00
11
10
10
00
00
11
10
00
00
10
00
10
00
11
10
00
10
00
00
00
00
01
11
10
00
10
10
00
00
01
11
01
00
00
01
10
10
00
10
01
00
00
11
11
00
00
00
10
11
01
10
00
11
10
10
10
01
00
01
10
10
10
10
00
10
10
01
10
10
00
00
00
01
10
10
10
10
11
10
00
00
10
11
00
11
10
00
01
11
01
00
00
11
01
01
10
10
10
01
01
01
00
11
10
10
01
00
01
00
00
11
10
11
00
00
10
00
01
01
00
10
11
11
01
00
10
10
00
00
11
11
00
00
10
01
00
10
00
11
10
00
00
10
01
00
00
10
00
00
00
00
00
01
11
01
10
10
00
01
11
10
10
01
00
00
00
10
10
10
10
00
11
00
11
10
01
00
10
00
01
01
00
10
10
10
00
10
00
00
01
00
01
10
10
00
00
00
01
10
10
00
00
11
01
01
10
10
01
00
01
00
10
10
10
00
10
00
10
10
00
11
11
00
00
10
10
11
10
00
00
11
10
00
01
01
01
01
11
10
10
01
00
10
10
00
11
00
10
10
10
00
00
11
00
01
10
10
00
11
00
01
11
10
01
10
10
01
00
10
11
00
01
00
00
00
11
01
00
10
10
00
10
01
00
11
11
01
00
11
00
01
00
11
10
00
00
01
11
11
01
00
01
00
01
10
01
10
01
10
10
10
01
00
10
00
10
10
11
10
01
00
10
11
10
00
11
10
01
11
01
10
11
00
10
10
01
11
01
11
11
00
10
00
01
10
00
01
10
10
00
10
10
10
11
01
00
11
00
11
11
10
00
00
10
10
00
00
11
10
01
00
10
01
10
00
11
10
00
10
10
00
10
00
00
00
10
00
01
10
11
00
11
00
00
01
00
10
00
10
10
00
10
00
10
10
10
10
01
00
10
00
10
00
11
10
00
11
10
00
00
00
11
10
00
10
00
00
00
11
10
00
10
10
01
01
11
00
00
11
00
00
10
00
00
00
11
10
00
00
10
01
01
01
10
11
00
10
10
01
10
10
00
00
01
00
10
00
10
10
10
10
00
00
00
11
00
00
11
10
11
00
11
00
01
00
11
10
01
10
10
10
00
10
11
01
11
00
00
11
10
10
00
01
10
10
00
00
00
01
00
01
10
00
11
01
10
10
00
00
11
10
01
01
10
10
10
10
00
10
00
10
10
00
10
00
10
00
01
10
00
11
10
00
01
10
10
10
10
00
01
11
00
00
11
10
01
10
10
10
10
01
00
00
11
11
10
00
10
00
10
00
01
01
01
11
10
10
01
01
10
10
01
00
00
01
00
00
10
01
11
10
10
01
10
00
10
11
00
00
00
10
11
00
00
10
10
00
01
10
10
01
11
11
00
00
00
11
10
01
10
10
00
00
01
10
10
01
10
01
10
10
01
00
11
11
11
00
10
10
01
11
10
00
01
10
10
00
00
10
00
10
10
10
00
01
00
00
00
00
11
00
10
10
00
11
01
00
11
10
10
01
11
00
10
10
00
10
10
00
11
10
10
00
01
10
10
11
00
11
00
10
10
01
00
00
11
11
10
00
01
10
10
00
10
10
00
10
10
00
00
01
00
10
10
10
10
01
10
11
10
10
10
10
11
10
11
00
00
11
11
10
00
00
11
00
01
10
00
00
10
00
10
00
01
00
10
10
10
00
00
10
00
00
10
00
00
10
01
11
01
10
11
10
01
00
10
11
00
10
10
11
00
10
00
01
00
01
10
10
00
10
00
00
10
11
00
00
11
00
00
00
10
10
01
01
11
10
00
00
11
11
10
01
10
00
00
10
00
10
10
00
10
00
11
10
01
00
00
10
10
11
10
00
11
00
00
00
10
00
10
00
00
00
10
00
00
00
11
10
10
01
00
01
11
01
00
01
01
10
10
00
00
01
00
10
10
11
10
01
10
01
10
10
00
00
00
11
10
00
01
11
10
10
10
10
00
01
11
00
10
00
11
10
10
01
00
11
11
10
01
10
01
01
01
10
01
01
01
11
10
00
00
01
11
11
01
00
11
01
11
10
00
00
10
10
11
11
01
10
10
10
10
10
11
00
01
00
11
00
00
01
01
00
11
10
00
00
01
10
10
00
10
10
00
00
10
00
00
11
00
00
00
11
00
00
00
11
10
11
00
11
00
01
01
11
10
10
10
00
00
10
00
00
10
00
00
10
11
01
10
10
01
11
01
10
11
01
00
10
10
01
01
00
10
10
10
11
00
10
10
01
00
10
11
00
01
10
00
11
00
00
00
00
10
00
00
11
00
00
10
00
00
00
01
01
11
11
10
10
00
10
10
00
00
11
00
11
10
00
10
10
10
00
10
10
01
11
00
00
00
01
00
00
00
10
00
00
10
01
11
11
10
01
10
01
00
10
10
00
01
00
00
10
00
00
00
00
10
01
00
11
10
10
11
11
10
00
01
10
00
10
10
01
00
00
10
00
01
10
00
10
11
00
01
01
10
00
10
10
00
10
10
00
01
10
00
00
10
01
10
01
10
11
00
00
00
10
01
01
01
00
00
00
00
10
11
10
00
01
11
00
01
10
01
10
00
00
11
00
00
11
11
11
00
11
00
10
11
00
10
10
00
00
00
10
00
10
00
11
00
00
10
10
10
00
00
10
10
01
00
00
11
10
01
00
00
01
10
01
11
00
01
01
10
10
11
00
10
10
00
10
11
00
00
10
10
10
10
00
01
10
10
01
10
00
01
10
00
11
10
00
01
00
00
10
10
11
00
10
10
10
10
10
10
00
01
01
10
00
10
00
10
11
00
00
00
11
00
10
10
10
00
00
11
00
00
10
10
11
10
10
10
10
10
11
00
11
00
00
00
01
00
11
11
00
00
10
10
11
01
10
10
00
10
10
00
00
10
10
11
00
10
10
10
01
00
01
01
11
00
00
00
10
10
00
10
00
00
00
10
10
00
10
11
01
00
11
01
00
10
11
10
10
00
01
00
00
10
11
01
10
00
10
11
00
00
01
10
11
11
10
10
00
00
00
01
01
11
11
11
00
10
00
10
11
00
00
11
00
00
00
10
11
00
10
01
11
10
11
10
10
00
11
10
00
10
00
11
11
00
00
10
00
11
00
10
00
10
00
00
00
10
11
01
10
01
01
10
00
01
10
10
00
01
10
00
10
01
11
00
10
10
00
11
11
00
01
00
00
00
10
01
10
10
11
00
11
10
00
01
01
10
00
11
10
01
01
10
10
10
00
01
01
10
01
00
10
10
11
10
11
11
00
10
10
10
00
10
10
10
10
10
11
10
01
01
00
11
11
10
01
00
10
11
00
00
11
10
10
10
00
01
10
00
00
00
10
00
00
11
10
01
00
11
00
01
00
00
10
00
01
10
00
01
00
11
10
10
01
01
10
10
10
00
00
11
01
00
11
00
11
00
01
11
01
11
11
00
00
10
11
10
01
00
01
11
00
11
00
00
00
00
10
01
00
10
00
00
00
00
00
10
11
01
01
00
10
00
10
01
01
00
11
00
00
01
00
00
11
11
10
11
01
00
00
01
00
10
00
01
10
10
11
10
10
10
00
01
01
11
10
00
01
10
00
10
10
00
00
10
00
10
00
10
01
01
10
01
10
10
10
10
01
11
10
01
10
00
11
00
00
10
10
10
00
00
10
10
00
00
10
00
00
00
11
10
00
10
10
10
10
11
00
01
00
00
10
10
01
00
00
11
10
10
10
10
10
10
10
00
00
10
11
10
01
10
00
00
00
10
10
01
11
00
00
01
10
00
00
11
00
10
10
00
00
10
00
00
10
10
11
11
11
00
01
00
00
10
00
11
11
00
00
10
00
10
00
10
11
00
10
11
00
00
00
01
10
00
11
00
10
11
00
10
01
00
01
00
10
00
01
10
10
10
00
01
01
00
00
00
11
00
10
10
00
00
11
00
01
10
10
00
01
10
10
11
01
00
01
00
00
01
10
01
00
10
10
01
11
11
10
01
11
00
10
00
01
01
00
10
01
10
11
11
01
01
01
11
10
01
00
11
11
00
00
00
00
10
10
00
10
10
01
00
00
01
10
00
00
11
00
10
00
10
00
11
01
00
11
10
10
10
11
10
01
10
01
00
01
11
01
11
10
10
01
11
11
00
01
10
01
01
00
11
01
10
10
11
00
01
00
10
00
10
10
00
10
00
00
00
00
01
01
01
00
01
10
01
00
10
10
10
10
00
10
11
10
00
01
11
00
11
10
00
01
10
01
00
10
10
00
10
10
11
10
00
10
10
00
00
10
00
00
11
00
10
11
10
01
10
11
10
10
11
10
01
00
11
10
11
00
01
10
11
00
01
01
01
11
10
11
00
00
11
11
01
01
10
10
10
00
00
00
10
10
01
01
10
10
00
00
10
10
01
10
00
00
10
11
10
11
11
10
00
10
10
01
00
00
00
10
00
10
00
00
10
10
00
10
00
01
10
11
00
01
11
01
00
00
00
00
01
10
10
11
00
11
00
00
10
01
00
11
00
01
01
10
01
11
00
00
01
10
11
11
00
00
00
00
11
10
10
10
11
00
11
00
00
10
10
10
00
00
00
00
11
10
00
10
11
01
00
01
10
01
01
00
00
10
10
10
10
00
01
00
10
11
10
01
00
00
10
10
01
01
00
10
11
10
00
00
00
10
11
01
00
11
10
10
00
10
11
00
10
01
00
11
11
00
01
10
00
10
00
10
00
10
11
10
00
11
10
00
11
10
10
10
01
00
01
00
00
11
10
00
00
10
10
00
00
10
00
10
00
11
10
01
10
11
01
10
11
10
00
10
00
01
00
01
11
01
00
11
10
11
01
01
00
10
10
00
00
00
00
11
10
10
10
01
10
11
00
10
10
01
10
10
10
01
00
10
01
10
00
01
10
11
00
11
10
01
10
11
00
00
00
11
11
01
00
00
11
00
10
10
00
00
00
10
10
11
00
10
11
00
11
10
10
01
00
01
11
10
00
11
00
11
10
01
00
01
00
10
11
01
00
10
01
10
00
01
01
11
00
00
10
10
10
10
10
00
10
00
00
00
10
01
11
00
10
10
00
11
10
00
10
10
10
10
10
10
00
10
00
01
00
00
10
01
00
00
00
11
01
11
10
00
01
01
10
11
00
01
10
11
00
00
10
10
10
11
00
11
00
00
10
00
11
11
00
01
01
10
10
01
10
11
10
00
00
00
00
10
10
01
10
00
01
01
11
10
00
10
00
00
00
10
10
01
10
10
00
10
10
00
00
11
10
11
10
00
00
11
10
01
11
11
10
10
01
00
00
10
10
00
10
00
10
11
00
10
11
00
01
00
11
10
11
00
00
10
11
00
00
10
10
10
11
01
00
00
11
10
10
00
00
10
00
00
10
11
01
00
10
11
10
10
00
00
11
00
11
00
10
01
00
00
00
01
10
00
11
10
00
11
10
00
10
01
00
01
00
11
10
00
01
10
00
00
10
10
01
11
10
01
10
10
10
00
01
11
00
01
11
01
10
00
01
10
01
00
00
10
00
01
00
00
11
10
11
00
00
11
10
10
00
10
01
11
00
00
11
11
11
11
01
00
00
00
10
10
01
00
10
00
00
00
10
11
10
00
00
00
00
01
00
10
11
00
10
11
01
00
10
00
11
00
00
01
00
11
00
10
10
10
01
00
10
10
10
00
00
11
10
10
00
00
11
01
10
00
00
01
10
00
11
01
01
11
00
10
00
11
10
00
00
10
00
11
00
01
00
00
10
10
01
11
01
11
00
10
11
01
10
10
00
10
10
01
11
11
10
00
10
11
00
11
01
00
00
01
10
10
00
00
01
10
10
10
10
00
10
10
01
11
00
10
00
00
10
00
01
01
00
01
10
10
10
10
10
10
00
00
10
00
00
00
00
00
00
11
10
11
00
10
10
11
10
00
01
10
10
10
10
01
10
11
10
00
00
01
00
11
10
11
10
00
10
01
10
01
10
10
10
00
11
10
00
00
11
00
00
10
11
11
01
10
11
11
11
10
01
10
11
00
00
10
00
01
00
01
11
11
00
00
11
10
00
00
10
00
01
10
11
00
01
11
11
11
11
10
10
00
01
00
00
00
10
00
00
11
11
00
11
00
00
11
00
11
00
10
10
00
00
10
01
10
01
01
01
11
00
11
11
10
00
01
00
11
00
11
10
01
10
00
00
11
01
01
10
10
01
10
10
10
10
10
10
01
00
10
10
00
00
00
10
00
11
10
11
10
10
11
01
10
01
11
10
11
10
01
00
00
10
01
11
00
01
10
10
10
01
11
00
00
10
11
11
11
00
00
11
00
10
01
11
01
00
11
10
00
10
10
00
01
00
01
00
11
11
10
00
01
11
10
01
10
10
11
00
01
10
11
01
00
10
11
00
10
00
01
10
11
10
00
00
11
00
10
11
01
10
11
00
10
00
01
00
00
10
10
00
00
11
00
10
10
10
11
00
01
00
01
10
00
10
01
00
11
10
00
00
11
10
00
10
11
10
11
00
01
11
10
10
01
01
10
10
01
00
10
10
10
11
00
10
00
00
11
00
01
10
11
00
00
10
10
01
00
10
01
00
01
10
01
00
00
10
00
01
10
00
00
00
00
11
11
00
00
10
00
10
10
00
11
10
10
10
01
00
01
00
11
10
11
11
01
01
11
11
00
11
10
00
00
10
10
00
00
10
00
01
10
00
10
10
10
00
00
10
11
00
11
00
00
00
10
10
01
10
10
00
01
00
00
00
10
00
00
10
00
00
11
00
11
00
01
10
01
00
11
10
01
10
10
00
00
00
10
10
00
00
00
00
00
00
10
10
11
00
01
01
10
10
01
00
00
01
10
11
10
01
10
00
00
00
00
10
10
10
01
10
10
00
11
00
00
11
10
00
10
10
10
01
00
01
11
00
01
11
01
10
11
11
00
00
10
10
00
11
11
00
11
01
00
00
10
00
01
10
01
10
10
10
00
00
00
10
10
00
10
00
00
00
10
11
10
10
10
01
00
10
11
00
10
10
10
00
10
10
11
00
01
00
10
10
11
00
01
11
00
00
10
11
11
00
00
00
10
11
00
01
10
10
11
00
10
11
11
00
11
10
10
00
00
00
11
11
00
10
10
00
11
01
10
01
00
10
11
10
11
00
00
11
10
10
01
11
10
10
11
10
11
00
00
00
00
01
00
10
10
00
01
00
00
10
11
00
10
00
00
00
00
01
10
11
10
10
00
11
00
10
10
00
10
10
01
00
00
11
01
10
00
00
10
00
00
10
10
01
00
00
10
00
00
10
10
01
00
10
11
10
10
11
10
00
00
10
00
01
01
10
10
00
11
00
11
11
11
10
10
10
00
01
11
11
00
01
10
00
11
10
01
11
11
00
10
00
10
00
00
11
11
01
11
10
01
10
00
01
00
11
10
00
10
10
01
00
00
10
00
00
00
01
11
10
01
10
11
00
00
11
11
01
00
10
10
00
00
10
10
00
10
10
00
10
10
01
10
00
01
10
10
00
10
01
10
10
01
00
10
11
10
01
00
01
11
01
00
01
10
11
11
01
01
10
00
00
11
01
11
00
00
11
00
10
11
00
10
00
00
10
00
10
00
01
11
00
01
10
00
10
10
00
01
00
10
10
01
10
00
10
10
10
00
00
00
00
10
11
00
00
00
00
10
00
00
11
00
10
10
10
10
00
01
11
10
11
10
00
11
11
01
10
10
01
10
11
10
10
10
10
01
10
01
00
10
00
11
01
00
10
10
10
00
00
01
10
00
00
10
10
00
10
10
11
00
00
01
01
00
11
10
00
10
11
10
11
00
10
01
01
00
00
10
10
10
00
11
01
00
11
01
00
00
10
10
01
01
10
00
00
10
10
00
00
10
10
00
00
01
01
10
10
00
01
11
11
01
00
01
10
11
00
00
10
00
10
10
01
10
01
10
00
01
11
10
10
01
00
00
11
00
11
00
00
00
10
00
10
00
10
01
00
10
10
10
00
10
11
11
10
00
10
00
11
10
01
01
10
10
11
11
00
00
11
11
10
00
10
00
00
10
01
00
11
10
00
01
01
00
10
10
01
10
11
00
00
11
10
00
10
10
01
00
01
01
00
10
00
10
10
01
01
11
10
00
10
00
11
00
11
10
00
10
10
01
01
01
11
10
10
01
00
00
00
10
10
01
10
11
00
10
10
10
10
10
11
10
11
10
00
00
00
01
00
00
10
10
01
11
00
01
00
11
00
00
00
10
10
00
11
10
11
10
11
00
01
11
01
01
10
00
00
11
10
11
00
10
10
00
10
00
01
10
01
00
00
00
00
00
11
01
00
10
01
00
00
00
10
00
10
11
00
10
10
11
11
10
00
10
10
10
01
00
00
10
10
00
00
11
10
11
01
11
00
11
00
11
10
00
01
10
11
00
10
11
00
00
11
00
01
01
10
10
10
10
01
10
00
00
00
00
10
10
10
10
10
10
11
11
00
10
10
11
10
00
01
01
01
00
10
10
00
00
01
01
10
01
00
10
00
10
00
10
00
10
00
11
10
00
11
10
10
10
00
10
11
00
01
10
10
11
11
10
11
00
01
10
10
00
01
11
10
01
00
10
10
00
00
00
11
10
11
10
00
11
00
10
10
00
11
01
01
10
01
01
00
01
00
10
10
00
10
11
00
01
00
11
00
00
00
00
10
10
11
01
11
10
10
11
11
00
00
01
10
00
11
10
11
00
00
11
00
11
00
00
10
11
00
00
10
10
00
01
00
10
11
10
00
10
10
10
00
11
10
00
00
00
00
00
00
10
01
10
10
10
11
11
11
01
01
10
11
10
00
10
10
01
11
01
00
00
00
00
10
10
10
01
00
01
00
10
11
10
00
00
11
10
00
00
11
10
00
01
00
00
01
11
10
00
11
00
01
11
10
01
10
00
01
11
00
01
11
10
00
01
10
10
00
00
01
11
10
00
10
00
00
00
10
10
00
11
00
00
10
10
10
10
10
00
00
10
10
00
00
10
01
10
11
11
10
11
00
10
00
10
11
00
11
10
11
00
01
00
10
00
00
10
10
00
00
01
11
00
10
01
00
10
01
10
01
01
10
10
11
11
01
00
10
10
10
10
10
00
00
00
00
10
10
00
01
10
10
11
00
11
10
10
10
00
00
10
10
00
01
10
00
10
00
10
11
11
11
10
01
00
00
11
00
01
11
00
01
10
10
10
00
10
10
00
11
10
01
10
11
00
00
10
01
10
10
10
00
01
10
11
11
01
01
11
01
00
01
10
01
11
10
01
00
11
11
01
00
11
00
10
10
00
10
10
00
01
10
00
00
10
10
01
01
10
11
10
11
00
10
01
00
10
00
00
10
01
10
00
00
11
00
11
10
10
01
01
00
01
00
11
10
10
01
00
01
00
11
11
00
10
00
00
10
10
10
10
01
00
10
11
00
00
00
10
00
10
00
11
11
10
00
10
11
01
00
00
01
10
00
10
11
00
11
10
00
10
00
00
11
10
11
10
00
10
11
00
00
00
10
00
10
10
00
10
10
00
00
11
01
10
00
10
00
11
10
01
10
01
11
11
01
10
11
11
10
00
10
10
00
00
10
00
11
11
10
01
00
00
00
10
00
01
10
11
10
11
10
00
11
00
01
10
00
00
10
00
10
10
00
00
00
01
11
00
11
10
00
10
01
10
10
01
01
00
10
00
10
11
00
00
10
10
00
00
00
10
10
01
10
10
01
00
00
10
11
00
00
10
00
10
01
11
01
01
00
00
11
11
10
10
00
00
11
10
00
00
11
11
10
11
00
01
10
10
01
11
11
10
00
01
00
10
00
00
10
10
10
00
00
11
11
00
11
10
10
00
00
00
11
01
00
01
10
10
11
10
00
00
00
10
10
00
00
10
10
10
10
11
00
00
00
10
10
00
00
10
10
00
11
01
10
00
11
10
10
01
00
10
00
00
11
01
11
10
00
11
10
00
11
10
00
00
00
10
00
11
10
11
01
11
00
01
10
10
01
11
10
01
00
01
10
11
00
10
11
00
10
10
10
00
01
10
00
10
11
00
10
10
10
01
00
11
00
10
10
10
00
01
10
10
10
00
11
00
00
10
10
00
01
10
11
11
00
00
01
11
00
00
10
10
11
01
00
11
01
10
11
10
10
00
10
10
00
11
10
01
00
11
11
01
00
00
10
10
01
00
00
10
10
00
10
00
10
10
11
10
00
00
00
10
10
01
10
11
11
11
00
11
00
01
00
11
10
10
10
01
00
00
11
11
11
00
10
11
11
01
11
00
01
10
01
11
11
01
01
01
10
00
10
10
00
00
01
10
10
10
00
00
01
00
10
11
01
00
00
10
10
00
00
01
10
01
11
11
10
00
10
11
11
01
01
10
10
00
01
00
01
10
11
11
00
01
10
00
10
10
01
00
11
10
00
10
00
11
11
00
01
10
01
00
10
00
10
00
00
11
10
10
11
01
10
00
00
00
01
11
01
11
00
01
10
00
01
10
10
11
11
01
00
10
00
01
10
10
01
00
11
11
10
01
00
00
00
01
11
00
00
11
11
01
10
00
11
10
11
01
10
10
11
00
01
00
11
10
10
10
01
11
10
00
00
01
10
01
10
00
00
01
01
10
00
11
10
00
01
01
00
01
10
10
10
00
00
10
01
00
01
00
00
10
00
00
11
10
01
01
01
00
10
10
01
00
00
11
11
00
00
01
10
00
00
01
01
11
11
10
00
01
10
00
10
11
00
10
10
00
00
01
00
00
11
10
01
11
10
00
00
11
10
00
01
00
11
10
00
00
01
00
01
00
10
10
00
11
10
11
11
00
00
00
10
10
11
01
10
00
10
11
10
11
00
11
10
10
00
10
00
01
00
11
01
00
11
10
10
01
00
00
00
00
01
10
11
10
11
00
11
00
00
10
01
10
11
10
10
10
01
10
11
00
00
01
10
11
00
00
10
10
00
01
00
11
00
00
00
00
00
00
01
10
00
11
10
10
10
00
11
00
00
10
11
00
11
10
00
01
10
00
00
00
10
10
00
10
00
01
10
00
00
01
11
00
10
10
00
01
00
11
10
00
10
10
01
10
00
00
01
10
10
11
10
00
11
10
00
10
11
00
10
01
11
10
00
10
00
10
00
00
11
10
11
01
10
00
00
10
10
00
01
00
11
10
10
10
00
01
10
10
00
01
00
00
00
00
10
10
00
10
00
00
00
10
01
10
10
00
11
11
00
00
01
10
00
01
00
00
10
11
11
00
00
10
10
10
00
10
00
00
01
01
10
01
11
10
00
00
10
11
00
01
01
00
00
01
01
10
00
10
11
00
10
11
10
00
00
10
00
00
10
00
10
01
10
00
10
11
10
10
10
00
11
10
00
00
10
01
10
10
00
10
11
10
00
01
10
10
10
01
11
00
01
11
01
00
00
00
01
00
10
10
11
10
01
00
10
00
00
10
01
00
11
11
10
10
01
10
01
00
10
00
00
00
01
10
10
10
11
00
10
10
00
00
10
11
11
10
00
00
00
00
11
00
10
10
10
00
10
11
00
00
00
10
10
00
10
11
10
00
10
10
11
10
11
00
01
00
00
01
11
10
00
11
00
11
11
11
11
00
01
00
01
10
11
01
00
00
11
10
01
00
10
01
01
11
00
01
01
01
11
11
11
01
00
11
10
11
01
00
10
10
10
01
00
11
10
10
01
10
10
10
10
00
00
10
11
00
00
00
10
01
00
01
00
00
10
00
00
11
00
01
00
00
11
11
10
00
00
10
10
00
00
11
10
01
10
00
00
00
10
10
00
00
00
01
11
11
10
00
10
11
11
00
10
10
11
00
11
10
01
10
10
01
10
11
00
11
00
00
00
10
00
00
00
10
10
11
00
11
00
10
00
01
10
10
10
00
10
00
10
10
00
00
01
10
00
00
00
10
00
10
01
10
10
11
10
00
00
10
00
10
00
10
10
00
11
10
10
00
10
00
00
10
11
00
10
00
00
01
10
11
00
00
01
00
10
11
10
00
00
00
00
11
01
01
10
10
00
00
10
10
00
00
00
11
10
11
10
01
00
01
11
01
10
10
11
00
01
10
01
00
00
11
11
11
00
01
11
10
00
00
00
10
10
11
01
00
00
01
00
00
00
11
00
00
10
01
10
10
11
00
00
11
01
10
00
00
00
00
01
00
10
00
00
10
01
00
00
00
11
11
10
01
10
10
11
00
01
11
00
00
00
11
10
00
00
10
10
00
00
10
00
01
10
11
01
10
10
10
11
00
00
10
10
00
00
10
10
10
00
10
11
00
10
00
10
00
01
01
11
00
00
01
00
11
01
11
10
11
10
01
10
10
11
00
10
11
00
00
10
01
01
11
00
11
10
00
10
00
10
10
11
01
00
11
00
10
11
00
01
10
00
00
10
10
10
10
00
10
01
00
10
11
00
11
10
01
10
00
10
10
11
01
00
10
00
00
10
10
00
00
00
01
10
00
11
10
01
00
00
11
10
00
00
10
00
00
11
00
10
10
11
11
00
11
00
01
01
10
01
00
10
01
00
00
10
10
00
10
01
11
01
01
11
10
00
00
11
10
01
00
00
01
01
01
10
00
11
00
10
00
01
11
10
00
10
01
10
11
11
00
01
10
10
11
10
01
00
11
10
11
01
11
10
01
10
10
10
11
00
00
11
11
01
01
10
00
01
10
11
11
00
00
00
00
10
10
00
10
01
00
00
00
10
00
00
01
01
10
00
01
10
10
00
10
10
10
11
01
10
01
00
00
10
10
00
00
11
11
00
01
00
01
11
00
00
10
11
00
10
10
00
01
10
00
01
10
10
00
00
10
11
00
00
01
10
00
00
10
10
11
00
00
11
11
10
00
00
00
11
10
00
10
00
00
10
10
00
00
01
01
01
11
00
10
10
00
10
10
01
01
00
10
11
01
01
10
10
10
00
00
00
00
10
11
10
11
10
00
10
00
10
01
00
10
00
10
00
00
00
01
10
11
00
11
00
00
00
10
11
00
00
10
10
10
10
00
01
10
11
01
10
00
00
10
10
00
00
10
10
10
00
11
11
00
00
00
11
10
10
10
11
10
11
10
00
11
10
01
10
00
01
11
10
01
00
10
01
00
10
11
00
01
11
10
11
11
01
01
01
10
01
01
10
01
00
01
11
10
00
11
01
00
10
10
10
01
00
01
01
11
10
10
00
00
10
10
10
00
00
10
10
00
01
10
11
10
00
10
10
00
00
10
10
00
00
11
00
10
10
00
10
10
01
10
00
01
00
00
00
10
10
00
10
11
11
00
11
00
10
11
01
11
10
00
10
10
00
01
10
10
11
00
10
00
00
10
10
00
00
00
01
00
11
01
01
00
00
01
10
10
01
10
11
11
01
10
10
10
10
00
00
10
11
01
00
10
00
10
10
01
10
00
00
11
00
10
01
00
10
10
00
10
00
00
10
10
01
10
00
00
00
01
00
01
10
00
11
11
10
10
01
01
00
11
01
10
10
01
00
00
11
11
11
00
01
00
00
01
10
11
00
00
10
01
00
10
01
00
00
00
10
10
10
00
10
01
01
11
01
10
01
00
10
10
10
00
00
10
00
00
01
00
01
00
11
10
10
00
00
11
01
00
00
10
01
11
11
00
11
10
10
01
00
10
10
10
01
10
10
11
10
00
00
00
01
10
01
01
11
10
11
00
00
00
11
11
00
00
11
10
01
01
11
00
01
10
00
00
10
10
00
10
11
11
10
10
01
01
00
10
00
10
10
10
00
11
10
10
10
01
10
00
01
10
00
01
10
10
11
00
00
01
10
00
00
10
00
11
00
00
01
11
00
01
10
11
00
01
00
00
00
11
10
00
00
10
01
10
10
01
11
11
10
10
10
10
10
00
11
01
01
01
10
10
01
10
11
00
00
10
10
10
00
01
10
01
11
01
00
11
00
10
01
00
00
10
01
10
01
10
11
10
11
00
00
11
11
01
00
00
11
10
10
00
10
00
01
01
10
11
01
00
10
00
10
10
00
00
00
10
01
10
10
11
00
01
00
10
01
11
00
00
10
10
10
11
01
00
00
00
10
10
10
00
10
00
10
11
00
00
00
11
10
00
00
11
01
00
01
11
10
00
00
11
10
10
01
00
10
01
00
10
00
00
00
10
11
00
11
10
00
00
00
01
10
10
00
11
01
10
00
00
00
10
00
10
10
01
00
10
10
00
10
00
01
00
10
10
00
11
00
10
00
11
01
11
10
00
10
00
10
11
01
01
01
10
10
10
00
10
01
01
00
11
11
10
10
00
10
10
01
00
00
00
10
00
01
10
11
11
01
00
10
00
10
00
00
10
11
00
10
00
10
11
01
10
00
11
10
10
01
11
10
10
00
01
10
10
00
01
00
00
00
10
00
00
11
00
10
10
00
01
00
00
01
10
10
00
01
01
01
00
10
00
01
11
10
10
00
00
11
11
10
00
10
11
00
01
00
10
11
10
01
00
00
10
00
01
01
10
11
00
01
00
11
10
11
00
01
10
01
11
11
10
00
00
11
10
00
00
01
10
00
11
10
01
10
00
00
00
00
11
01
10
10
10
00
10
11
00
01
10
10
00
01
10
10
10
00
00
11
00
00
10
11
10
10
00
01
11
00
11
10
10
10
00
10
00
01
11
00
00
10
10
00
01
10
10
00
01
10
01
10
00
10
01
10
11
11
00
00
10
11
10
10
10
00
00
00
10
10
10
00
00
10
00
10
01
00
10
10
01
01
11
00
01
11
11
01
11
10
11
00
00
00
10
01
00
11
10
11
11
10
00
01
10
10
10
00
00
10
00
10
10
01
00
10
01
10
00
10
11
00
10
10
10
10
00
00
01
01
10
10
01
00
11
11
11
00
00
10
11
01
00
11
10
00
00
10
10
10
11
00
10
01
11
11
10
10
01
10
10
10
00
01
00
00
11
00
00
10
10
01
11
00
10
01
11
00
01
01
00
10
00
10
00
00
10
10
00
01
10
11
01
10
00
11
11
10
10
01
01
10
11
00
00
10
10
00
01
00
11
11
11
10
11
00
11
10
00
01
00
00
10
01
00
10
11
10
00
00
00
10
10
00
00
10
11
01
00
01
10
10
10
00
00
10
11
01
01
01
11
10
10
01
00
10
10
10
01
10
01
10
10
10
00
00
00
00
11
00
11
00
11
10
01
10
10
00
01
00
10
10
01
10
00
10
10
00
01
01
10
10
10
10
10
10
10
00
00
01
00
10
01
00
11
10
11
01
00
00
00
01
10
01
00
00
00
10
10
11
10
00
01
11
01
10
10
11
00
01
01
00
00
10
10
00
11
11
00
10
11
11
10
00
00
10
10
01
00
00
10
00
00
10
10
10
00
00
01
10
11
01
00
01
01
01
01
10
10
10
10
00
01
01
10
10
11
00
01
00
00
10
10
01
10
10
00
00
10
00
10
11
01
01
01
00
00
10
01
00
11
10
01
01
01
10
00
01
11
10
11
11
01
00
00
00
10
00
00
10
11
00
11
01
11
00
00
00
11
01
10
10
00
11
00
10
10
00
01
10
00
01
10
10
00
00
10
00
00
10
00
00
10
01
00
00
10
01
11
10
00
00
01
10
10
10
01
00
10
11
11
10
11
00
00
01
10
10
10
10
01
00
00
11
11
01
11
10
00
00
11
10
00
01
01
01
10
11
11
11
00
11
01
00
01
11
10
00
10
10
00
01
11
10
00
00
11
10
10
00
01
10
11
00
11
00
00
10
00
10
10
10
10
11
00
10
01
00
10
10
00
00
00
10
11
10
00
10
11
00
00
00
10
11
00
00
01
00
10
11
11
01
10
00
10
01
10
00
01
11
10
10
11
11
11
10
10
11
00
00
11
01
00
11
00
00
00
10
00
01
11
10
00
00
00
10
10
01
00
11
11
10
01
10
00
00
11
10
10
10
01
01
10
00
10
00
11
10
11
10
01
01
10
10
11
00
10
00
00
10
10
10
00
10
11
11
01
01
11
01
00
01
10
11
11
11
00
01
10
11
10
00
00
11
00
11
10
01
01
10
11
00
00
01
10
10
00
00
10
10
01
10
01
01
10
00
11
00
01
11
10
10
01
01
11
01
00
11
11
01
00
10
10
01
11
01
10
10
00
00
10
01
01
11
01
10
10
00
00
00
00
00
10
10
10
10
00
10
11
10
01
10
11
10
01
11
00
01
10
11
10
10
01
10
11
01
00
01
01
01
10
10
00
11
10
00
01
10
10
00
10
10
00
10
10
00
00
11
10
00
10
01
11
11
10
01
11
10
10
01
01
10
10
00
00
00
10
10
10
01
00
00
00
10
10
10
00
00
00
10
00
01
00
00
10
11
10
01
00
11
00
00
11
01
00
11
10
10
00
00
10
00
00
11
01
01
00
11
00
11
00
00
11
10
01
00
10
10
11
10
11
00
00
10
00
00
00
00
10
00
01
10
11
10
00
00
10
00
00
00
11
10
10
11
00
11
11
00
10
00
11
01
10
11
11
11
10
10
00
01
10
10
00
01
10
11
01
01
10
10
00
00
01
10
11
00
00
10
00
00
01
11
10
01
01
10
00
01
00
10
11
00
10
00
00
10
10
00
00
10
00
11
10
00
00
00
01
11
10
11
10
00
00
00
10
01
01
10
10
01
00
00
01
00
01
10
10
11
11
01
11
10
01
10
11
11
01
00
10
00
10
10
00
00
10
11
00
10
10
01
01
00
10
00
01
00
11
01
11
10
00
10
00
10
10
11
00
01
10
01
00
00
01
10
10
10
10
00
10
00
00
00
10
10
01
11
10
01
01
01
00
01
10
01
10
11
10
00
10
00
00
10
10
10
11
10
01
01
00
10
10
11
01
10
10
00
10
00
10
10
00
10
00
00
01
10
00
11
10
11
10
10
11
11
00
01
01
10
10
11
01
10
00
00
01
11
01
00
10
00
10
10
01
01
10
01
11
00
00
10
00
00
00
10
01
10
11
10
00
00
11
10
10
11
00
01
00
01
00
00
11
10
10
00
10
10
10
10
10
01
00
11
10
10
11
11
00
11
10
01
10
10
11
11
10
01
01
11
00
11
11
01
00
11
10
00
10
10
01
01
11
10
00
11
00
00
10
00
01
10
10
00
00
00
10
00
10
00
10
11
10
00
00
10
00
00
01
00
00
11
01
00
11
11
11
00
00
01
11
11
00
10
10
00
11
01
10
00
10
10
00
11
10
01
10
00
00
00
01
10
11
00
00
10
00
01
01
00
10
01
10
01
10
10
00
11
10
00
01
10
10
00
01
11
01
00
00
00
00
01
11
10
11
10
10
01
01
00
00
00
10
01
01
10
11
10
00
10
00
01
11
11
00
11
11
00
01
10
11
10
10
00
01
10
11
11
10
01
10
01
01
00
11
00
00
10
00
10
00
10
00
10
11
10
00
00
11
00
00
10
00
11
10
10
10
10
10
00
10
10
01
01
00
01
01
01
10
10
00
10
00
10
01
01
11
10
01
00
10
10
00
10
10
00
10
00
01
10
00
10
10
00
10
01
00
10
00
00
11
00
10
10
11
01
10
10
01
11
01
10
10
01
10
10
00
00
10
11
10
11
10
00
00
01
10
00
00
00
00
00
10
11
11
00
11
00
01
11
00
10
10
10
10
00
00
10
11
00
10
10
00
10
00
00
10
00
01
10
10
10
10
01
00
10
11
11
00
01
10
01
11
01
10
10
11
11
10
01
01
10
01
00
11
11
00
00
00
01
11
01
00
10
11
10
01
00
00
10
10
01
10
10
00
00
10
10
10
00
00
10
10
10
00
01
01
01
00
01
10
01
11
10
10
10
10
11
00
00
10
01
00
10
10
00
11
11
01
11
10
10
10
01
10
00
01
10
01
00
00
10
00
00
00
00
10
10
10
01
00
10
01
00
00
10
10
01
10
10
01
11
11
11
10
00
00
01
10
10
00
01
11
00
00
11
11
00
11
10
00
11
10
00
11
10
10
11
00
00
00
00
00
11
01
11
01
00
10
10
10
00
10
10
00
00
00
10
01
00
10
11
10
10
11
00
00
00
00
10
00
00
10
00
00
11
11
10
10
00
10
11
11
10
11
00
01
11
00
10
00
00
10
00
00
00
10
00
00
00
00
10
01
10
10
10
00
10
10
10
00
00
00
10
10
10
00
00
01
10
11
11
10
00
00
01
00
10
10
10
00
11
01
10
10
00
01
00
01
01
10
00
11
11
00
00
10
10
01
11
00
01
00
10
11
00
11
11
10
00
01
11
10
00
01
01
10
10
10
10
10
01
01
10
01
10
10
00
01
00
10
11
10
10
10
01
00
10
10
00
11
11
10
10
00
00
00
10
01
00
11
00
10
10
11
10
11
00
00
01
10
10
01
00
11
01
10
10
00
00
00
00
10
00
01
01
01
11
01
10
11
00
00
11
11
01
01
00
10
00
10
00
00
00
10
10
10
10
10
01
00
10
10
11
10
01
00
11
11
00
01
00
11
00
00
10
10
10
00
11
10
11
00
00
11
11
00
10
10
10
10
00
00
10
00
11
00
10
10
01
00
00
00
10
11
00
01
00
00
01
10
11
01
10
10
00
00
11
11
00
01
00
11
00
01
11
10
11
00
10
00
01
00
01
10
11
00
00
10
00
11
10
01
01
00
11
10
11
01
01
11
10
01
11
11
00
00
10
10
10
00
00
10
10
00
11
00
10
00
00
00
00
10
10
01
01
11
01
00
10
00
00
10
11
00
11
01
10
11
00
00
00
10
10
00
00
10
11
00
00
00
10
10
00
10
10
11
01
10
11
10
10
00
00
00
00
00
11
01
00
11
11
00
10
11
01
10
10
01
00
00
10
10
00
01
01
00
00
10
00
00
00
01
11
00
00
10
10
10
10
11
10
00
10
00
00
11
10
01
00
11
10
10
00
10
10
00
10
10
00
01
00
01
10
11
10
11
11
10
11
00
10
11
10
00
10
00
01
01
10
10
00
01
00
01
00
11
11
00
10
11
10
01
01
10
10
01
10
00
00
10
00
00
00
10
00
10
01
00
10
10
10
00
00
10
11
10
01
00
00
01
00
00
00
00
10
10
00
00
10
00
00
00
10
00
10
10
01
00
11
00
00
01
00
00
10
10
00
00
11
11
00
00
10
10
00
00
00
10
01
10
01
01
11
01
00
00
11
01
00
00
10
11
00
00
00
11
11
10
11
00
01
00
10
01
10
11
00
00
11
10
11
01
00
11
00
00
11
10
00
11
10
11
11
01
10
00
10
00
00
10
00
10
10
10
11
00
10
11
01
01
01
00
00
10
00
00
11
01
10
10
10
10
10
10
00
01
11
00
00
10
01
00
11
00
01
10
10
00
10
00
01
10
10
10
11
10
11
00
10
01
00
10
01
00
10
01
10
01
01
00
01
00
10
10
00
10
11
10
00
01
01
11
10
01
10
10
10
01
00
01
10
11
10
00
00
10
11
00
11
10
01
10
00
00
10
10
01
00
10
11
01
01
10
00
01
00
00
01
10
10
00
11
10
00
00
00
10
11
00
01
10
10
10
00
00
10
11
01
00
10
11
10
10
10
11
00
00
11
00
00
10
10
01
00
10
01
11
10
00
00
11
10
10
01
00
10
00
00
00
11
10
11
10
01
00
01
11
00
01
11
10
11
01
00
01
11
11
00
10
11
10
10
01
10
10
00
00
10
00
00
10
00
01
10
01
00
00
11
10
10
11
10
00
10
01
00
00
00
10
00
00
00
10
10
00
01
00
10
11
10
10
10
00
01
00
00
00
11
00
01
10
00
00
10
00
10
00
00
10
11
10
00
00
00
00
00
10
11
10
00
00
11
00
01
01
11
10
00
00
10
00
00
01
00
01
00
10
01
10
11
11
11
00
01
10
10
00
00
11
10
00
01
00
01
01
10
11
00
00
00
10
10
10
10
01
00
11
10
00
00
10
00
00
10
10
00
00
10
00
10
00
00
10
00
00
00
10
00
01
11
00
01
01
11
00
10
00
11
11
00
11
11
10
01
11
01
00
11
10
11
10
01
00
10
00
00
10
10
10
00
10
11
11
11
00
00
10
01
10
01
10
10
00
00
01
10
10
00
01
10
10
10
10
11
01
00
00
11
10
00
01
11
11
10
01
10
01
00
01
10
00
10
11
01
10
11
01
11
00
10
01
00
11
11
11
01
00
11
00
00
10
10
10
01
10
11
00
01
11
00
10
00
10
10
01
01
00
11
01
10
00
10
00
10
10
01
01
11
10
10
01
01
01
10
10
10
10
11
10
10
00
00
00
10
00
00
01
11
00
11
10
10
01
10
01
01
00
11
00
10
01
11
10
00
00
10
01
10
00
10
00
11
00
01
01
01
00
10
10
11
11
01
10
10
10
01
10
10
00
00
10
11
10
11
00
00
10
01
01
11
10
01
00
00
00
00
10
10
00
00
10
11
00
10
10
10
11
01
10
00
10
01
00
10
11
00
00
01
11
11
00
00
11
10
00
10
10
00
10
01
10
01
11
00
10
00
00
10
10
00
10
10
11
10
00
00
10
01
10
00
11
11
11
10
10
10
11
01
10
01
00
00
10
11
01
11
10
01
11
10
00
01
10
10
11
00
10
11
00
00
10
00
01
10
11
00
01
11
10
10
11
01
00
00
00
10
11
10
10
01
11
10
10
00
10
10
00
01
11
11
00
10
10
11
10
01
11
11
01
10
10
00
10
10
00
00
00
01
10
00
10
01
10
01
00
10
00
10
10
01
00
11
10
10
10
00
11
10
01
00
11
10
10
10
10
00
11
11
01
00
11
10
10
10
00
10
10
01
01
00
00
00
11
10
00
00
11
11
00
01
00
10
11
01
00
10
10
10
11
00
01
11
00
10
00
01
10
10
00
01
00
01
00
11
01
00
11
10
00
10
00
01
00
00
11
00
00
00
00
11
11
11
00
00
11
11
00
10
10
00
10
10
00
11
10
00
01
10
00
01
00
10
00
00
00
10
10
00
00
10
11
10
00
10
11
10
10
01
10
00
00
00
01
10
00
01
10
11
00
10
10
10
01
10
10
11
10
00
00
10
00
01
01
00
10
00
10
10
10
10
01
10
01
01
00
01
00
10
10
11
00
00
11
10
10
10
10
00
00
10
10
01
10
01
10
10
00
10
00
10
00
00
11
00
10
01
01
10
00
01
00
00
10
01
11
10
10
00
00
10
10
00
11
10
00
01
10
11
00
10
01
11
10
00
00
10
10
00
01
11
01
10
11
10
00
00
00
01
10
10
00
00
00
00
11
10
00
01
10
00
01
10
10
00
00
11
10
01
01
00
01
11
00
00
00
11
11
10
00
10
10
00
01
10
10
01
01
00
11
01
01
00
11
10
01
00
10
10
01
10
11
00
00
01
01
01
10
01
11
10
00
10
11
01
11
11
01
00
00
00
00
00
00
10
10
00
11
01
00
10
10
01
10
10
10
10
01
00
01
10
11
01
10
11
01
00
10
11
00
11
00
01
11
10
10
01
10
10
10
01
11
11
10
00
00
10
10
11
10
01
00
11
11
11
00
00
00
10
00
10
01
00
00
01
11
01
11
00
01
10
01
00
01
10
11
01
01
00
10
01
00
00
11
11
00
00
00
01
10
10
10
00
10
11
00
10
10
00
00
00
00
00
10
10
10
01
01
00
00
00
11
11
01
01
10
10
11
10
00
01
10
10
11
00
11
01
00
10
11
00
10
10
01
00
00
00
10
10
00
10
00
00
00
11
11
11
00
10
10
00
10
10
11
00
00
01
11
01
00
00
10
10
00
11
11
10
10
00
00
00
10
00
00
00
11
10
00
00
01
10
01
10
10
00
00
10
11
00
00
00
10
10
00
10
00
11
01
00
00
10
11
00
10
00
00
10
01
01
00
01
00
10
00
01
11
00
00
01
11
11
10
01
01
10
10
10
10
00
01
00
10
10
11
11
11
10
01
00
00
11
00
01
11
00
00
11
00
10
00
01
11
00
00
10
10
01
10
11
01
11
11
11
00
10
10
01
00
00
10
00
00
10
10
00
10
10
00
10
10
10
10
00
10
10
00
01
00
10
00
10
10
10
10
01
00
10
01
10
10
10
10
10
00
01
01
11
01
11
10
00
10
11
00
00
10
00
00
11
10
10
00
10
10
01
10
10
10
10
00
00
10
11
00
01
01
00
10
10
10
10
10
00
00
10
01
10
11
10
10
00
01
01
00
10
10
10
00
00
01
10
00
10
10
10
00
10
00
00
11
00
00
01
10
10
00
11
01
01
10
10
11
00
11
10
11
10
11
00
10
00
00
00
10
00
01
11
10
10
10
10
10
00
00
11
10
00
11
10
00
10
00
00
11
10
11
01
10
10
10
00
00
10
10
01
00
11
00
10
10
11
10
11
00
01
10
01
10
00
01
00
10
10
01
11
10
00
10
11
00
00
01
10
11
00
00
00
00
00
10
10
10
11
10
01
00
10
10
00
00
11
01
00
01
00
01
00
01
10
00
01
10
10
10
00
01
00
11
10
00
00
10
10
01
01
11
00
01
01
01
10
11
10
00
00
10
00
00
10
01
10
10
11
11
01
11
01
10
10
00
10
00
00
11
10
01
01
10
10
00
00
10
11
00
10
11
10
01
00
00
00
10
00
00
00
10
00
00
00
11
00
10
10
10
10
00
10
10
01
10
11
10
01
00
00
00
11
00
01
11
00
10
10
01
11
11
10
01
10
00
00
00
00
10
10
01
11
00
11
10
10
10
01
01
11
10
11
00
00
01
10
10
01
00
11
01
01
01
10
10
10
10
00
00
10
00
00
10
10
10
10
00
00
01
10
00
11
10
00
10
10
00
10
01
00
10
11
00
01
01
10
10
00
11
00
10
11
01
00
10
00
10
10
10
00
10
10
01
01
10
00
01
10
01
10
00
01
10
00
11
10
00
10
10
10
10
01
01
00
10
00
00
00
10
01
00
11
11
10
01
00
01
10
10
10
00
00
00
01
00
11
10
11
10
01
10
10
00
00
11
01
11
11
00
11
00
10
10
01
01
11
00
10
10
00
10
00
00
10
10
00
11
00
11
10
01
00
00
00
01
11
00
00
00
01
00
10
11
00
00
00
00
10
00
11
10
01
00
11
00
10
01
10
01
00
11
00
00
00
10
10
00
10
10
11
10
10
00
01
00
00
11
01
10
10
10
00
10
01
00
10
11
10
01
00
00
11
00
01
01
00
10
11
11
01
10
10
10
10
00
00
00
10
11
01
11
11
01
11
00
10
01
00
11
11
00
00
00
00
00
10
10
00
11
11
01
10
11
01
10
10
11
00
00
10
00
10
11
00
10
11
00
00
00
00
00
00
11
10
10
00
10
00
01
00
11
10
00
01
10
00
00
00
10
10
00
10
10
10
01
00
01
11
00
11
01
01
10
00
10
00
11
00
11
10
00
00
00
10
00
01
10
00
11
11
00
10
10
01
00
11
00
10
11
00
00
00
01
10
00
00
10
00
00
00
10
00
00
10
01
00
10
10
00
00
00
11
10
00
10
11
01
01
00
00
01
10
10
11
11
00
00
01
10
10
00
10
10
00
00
00
00
10
00
10
00
11
00
10
11
11
10
01
11
00
00
00
10
01
11
11
10
00
00
00
11
10
01
00
10
10
01
10
11
00
11
10
01
01
10
10
00
10
00
10
01
10
10
00
01
11
01
01
10
11
11
00
00
10
00
00
10
10
10
01
00
00
00
00
00
11
10
00
01
10
10
10
11
10
11
01
10
01
10
01
01
00
10
10
00
10
00
00
11
10
10
11
10
01
10
00
00
00
10
10
10
00
01
10
11
10
01
01
10
01
01
10
10
10
00
10
10
01
00
00
10
10
10
00
10
01
11
10
00
11
11
01
11
10
01
01
01
10
00
00
11
00
00
11
10
01
00
00
00
10
01
00
00
11
10
10
01
01
01
00
10
01
00
10
10
10
10
11
00
00
01
01
00
10
10
01
00
01
10
10
10
00
10
11
10
00
01
00
11
01
00
11
10
10
10
00
00
00
01
01
01
11
00
11
00
11
10
10
10
00
01
10
10
01
00
10
10
11
10
00
01
10
00
00
00
10
11
01
00
01
01
11
01
00
10
00
10
00
00
10
11
00
00
11
10
00
11
10
00
00
00
10
10
00
10
10
01
11
00
11
10
11
00
10
00
00
11
11
00
00
01
00
00
10
11
10
00
10
10
00
00
00
11
00
00
00
11
01
10
00
11
10
01
11
01
10
11
00
11
11
01
11
00
01
10
11
00
00
11
10
00
00
10
10
00
11
10
11
00
01
10
00
01
11
10
01
00
10
10
11
00
11
10
01
00
01
00
00
11
11
10
00
10
10
00
00
10
10
10
10
00
10
00
10
00
10
10
00
00
10
10
00
01
10
11
00
01
11
00
00
10
10
01
10
11
01
00
10
11
10
00
00
11
11
00
01
10
01
10
11
01
01
00
01
00
10
10
10
00
10
01
01
01
11
10
00
10
11
10
01
00
11
00
00
11
00
00
10
01
00
10
10
10
00
11
00
00
00
00
10
00
00
10
00
00
10
00
00
11
10
11
10
00
10
01
10
11
11
00
10
10
11
11
10
10
00
01
00
01
10
00
11
00
10
01
00
10
10
00
10
11
01
01
01
10
00
10
11
01
00
10
10
11
00
10
00
00
10
10
10
00
01
10
10
00
00
00
01
00
01
01
10
00
10
10
00
00
10
01
11
01
00
10
00
00
11
11
00
00
10
11
11
10
00
01
10
00
00
11
00
00
00
10
11
01
11
01
00
10
11
01
11
11
00
00
10
01
11
11
00
00
10
10
01
00
01
00
10
10
11
01
00
10
10
10
00
11
00
10
10
11
00
10
10
10
01
00
10
00
10
01
10
11
00
10
10
00
01
00
00
11
11
01
01
01
01
00
10
10
00
10
10
00
11
11
10
00
10
10
00
00
10
00
10
11
00
01
10
10
10
10
11
10
10
00
00
00
00
10
10
11
01
00
00
01
00
00
10
10
00
00
11
00
11
01
10
10
11
11
00
10
01
10
01
10
00
00
01
10
10
10
01
11
00
01
00
01
00
00
00
00
10
00
10
10
10
11
01
01
00
11
10
01
10
01
00
01
10
10
10
11
00
01
00
10
01
00
10
00
01
10
00
11
01
10
11
11
10
00
00
01
00
10
10
00
00
00
10
10
10
01
01
01
10
01
10
10
00
10
00
01
10
10
01
01
10
00
00
00
10
00
10
10
01
10
11
00
01
01
01
10
00
10
11
00
10
01
01
10
10
00
11
10
00
00
10
01
11
10
00
11
10
11
10
00
10
10
10
11
00
01
11
00
11
10
10
10
00
00
00
00
10
00
10
10
11
00
00
00
00
00
00
00
01
11
00
01
00
11
11
10
10
11
01
00
11
11
01
10
00
10
01
10
11
10
00
10
01
10
01
10
11
01
00
00
11
10
11
01
00
10
11
00
00
01
11
00
01
10
10
11
00
01
10
10
00
10
10
00
11
10
00
01
00
10
01
10
11
01
01
11
01
10
00
00
00
00
11
11
01
10
11
00
11
10
00
00
10
00
00
00
00
00
01
01
10
10
01
00
00
01
10
10
00
00
01
10
10
01
00
10
10
10
00
01
01
10
00
10
00
10
01
00
10
00
00
00
10
00
01
01
11
10
00
00
00
00
10
00
00
10
10
10
10
10
01
10
01
01
11
00
01
11
11
00
01
10
11
00
00
11
10
10
01
10
11
10
00
00
11
11
01
10
10
00
10
00
01
10
10
10
00
00
11
00
00
01
10
10
11
11
10
01
01
10
01
01
11
10
11
00
00
10
00
01
00
11
10
00
00
01
10
10
11
00
00
01
10
10
00
01
00
10
01
10
10
01
10
00
00
10
10
11
10
10
01
01
01
10
01
10
10
01
01
10
10
10
10
11
11
00
00
00
00
10
11
00
10
01
10
10
01
11
10
10
00
11
00
01
10
00
11
10
10
10
00
00
11
10
11
00
11
00
10
10
11
11
00
00
00
10
00
01
10
10
11
11
00
10
11
10
10
00
00
10
10
10
01
00
01
10
10
11
00
10
10
10
00
10
10
01
11
00
00
01
00
10
00
01
10
00
11
11
00
11
11
10
10
00
00
10
01
10
00
00
00
10
11
01
00
01
00
11
10
00
10
10
00
00
00
10
01
11
01
00
11
00
10
00
10
10
10
10
01
00
00
11
00
11
10
00
00
10
10
00
00
10
10
00
11
01
11
01
10
00
10
00
00
01
00
10
11
01
11
01
01
10
11
01
01
00
10
10
11
10
00
01
10
10
11
11
01
00
01
10
10
10
00
10
11
00
10
00
10
10
00
00
00
10
00
00
10
10
10
10
00
01
11
10
10
11
01
11
00
10
00
01
10
10
10
11
11
10
11
00
10
00
00
10
10
00
00
01
00
00
10
10
00
01
01
00
00
11
10
10
10
01
00
10
10
11
10
00
10
10
11
01
00
10
00
10
11
11
11
00
10
01
01
00
00
11
11
10
11
01
01
11
11
00
00
00
11
00
10
10
00
00
10
10
01
01
11
01
00
11
00
10
10
10
10
11
00
00
10
00
00
00
10
00
10
10
10
01
01
00
11
01
01
10
00
10
10
00
00
10
10
01
10
10
00
11
10
01
01
11
00
01
11
01
00
01
00
10
10
00
00
11
10
00
10
00
10
01
10
00
01
10
10
11
11
00
11
00
01
00
11
11
00
10
10
10
00
00
10
11
00
01
10
10
10
11
10
11
10
00
00
10
01
00
11
10
00
01
10
00
00
10
10
01
00
00
10
10
00
11
01
00
11
10
11
00
00
10
00
01
11
00
00
01
00
00
00
10
11
01
10
01
10
00
01
00
00
00
11
10
00
10
00
01
11
00
01
00
10
10
10
11
11
01
10
10
00
10
10
00
00
11
01
00
00
11
11
10
11
01
11
11
10
10
00
01
00
01
11
10
01
11
10
10
10
01
10
10
00
00
00
00
00
11
10
10
00
11
01
10
11
01
10
01
10
11
01
00
10
00
01
10
10
00
10
10
10
00
11
10
00
11
10
00
00
01
00
10
10
00
00
01
10
10
00
11
11
00
01
00
11
10
01
10
11
01
00
11
11
10
00
00
11
01
01
11
01
10
00
11
00
00
01
10
10
11
10
00
11
10
11
10
10
00
10
10
11
10
00
00
01
00
11
00
10
10
00
00
01
10
11
11
10
01
01
01
00
10
00
10
10
01
00
10
10
01
10
01
00
10
10
00
10
01
00
10
01
00
11
01
00
10
10
10
10
11
00
01
00
10
10
01
01
00
01
10
11
10
00
00
10
10
00
11
10
01
10
11
10
00
01
11
01
00
11
10
00
00
00
00
10
10
10
00
00
00
01
00
11
01
00
10
10
11
01
10
10
01
00
01
00
10
11
01
10
10
01
01
01
00
11
00
00
10
10
01
00
11
10
10
00
10
00
10
01
00
00
00
00
00
10
10
10
11
01
01
10
00
10
01
11
11
01
00
10
10
00
10
01
00
10
00
01
10
11
10
10
01
00
00
11
10
01
11
01
00
01
00
10
10
01
01
10
11
00
10
10
00
10
00
00
10
01
01
00
10
10
00
11
00
10
10
01
01
00
10
00
00
00
10
10
00
10
10
00
10
01
01
11
10
10
00
00
00
01
10
00
01
01
10
11
00
10
11
00
00
11
10
00
10
00
00
00
10
00
10
00
00
00
10
00
10
00
10
10
00
11
10
00
11
00
11
00
10
00
00
10
11
10
00
10
01
11
00
00
00
11
01
00
10
10
01
10
00
10
00
01
01
00
10
00
00
11
10
01
00
10
10
10
10
10
10
00
11
00
01
01
01
11
10
01
01
10
10
00
00
10
10
00
01
10
11
00
10
10
10
11
10
11
10
10
01
01
10
01
00
01
10
10
01
10
10
10
00
00
10
10
01
01
10
11
01
11
11
00
00
00
11
10
00
10
11
00
11
10
00
00
00
01
10
11
10
01
00
10
00
10
10
01
01
11
01
00
00
00
01
11
10
00
00
00
11
10
00
01
01
10
10
10
10
01
00
11
00
00
10
01
11
11
10
00
10
10
00
10
10
00
00
00
10
10
11
00
10
10
00
10
00
00
01
10
01
00
01
00
00
00
01
10
10
10
10
00
00
11
00
11
00
01
11
00
11
00
00
10
10
00
01
10
11
10
10
10
10
00
00
00
11
00
00
00
00
11
10
10
00
00
01
10
11
10
11
10
00
11
00
00
11
10
00
00
10
11
01
00
00
10
11
00
01
10
10
10
00
00
10
00
01
00
00
10
10
00
11
00
10
10
00
10
00
01
10
01
00
10
00
00
00
01
01
10
11
00
00
11
00
00
10
00
10
10
10
10
00
10
00
01
00
10
11
00
10
10
00
00
01
10
11
10
00
11
11
10
11
01
01
00
01
10
11
00
01
10
10
00
00
00
10
10
00
10
10
00
10
10
10
11
10
10
00
10
01
00
10
00
10
10
00
11
10
01
00
00
00
01
11
11
11
00
10
00
00
11
10
11
00
01
10
11
01
11
00
00
00
10
10
00
11
01
10
01
00
11
00
10
00
01
10
10
00
00
00
10
10
10
10
00
10
01
10
10
11
10
10
10
11
00
11
10
00
10
00
00
00
10
01
11
00
10
11
01
10
10
00
00
10
00
11
10
00
00
10
00
00
11
11
00
00
10
10
10
11
10
00
01
00
00
11
00
11
00
11
10
00
10
01
00
00
11
10
10
00
00
00
10
10
11
10
00
00
00
00
10
10
10
10
00
00
01
10
10
01
11
11
00
00
10
01
10
00
00
10
10
01
10
11
00
11
00
10
10
00
01
11
01
01
00
00
10
01
00
10
10
00
01
11
10
11
00
11
00
10
01
11
11
00
01
10
10
11
00
01
10
00
00
11
11
10
11
00
00
10
11
11
10
01
00
01
10
01
11
11
00
00
00
10
00
10
10
01
10
01
01
00
10
00
00
01
10
11
00
00
01
00
10
10
00
01
10
10
11
10
10
11
11
00
10
11
01
10
01
00
01
11
11
01
11
11
10
00
00
00
11
10
10
11
10
01
00
00
01
10
11
01
01
00
01
10
11
00
00
11
10
00
10
10
00
10
11
10
11
01
10
01
10
00
00
10
11
00
10
10
10
10
11
11
10
00
00
11
10
00
00
11
00
00
00
10
11
00
00
00
01
10
10
01
10
01
10
11
00
00
00
10
00
00
10
11
01
00
01
11
11
10
10
11
10
01
01
11
10
01
00
01
10
10
00
00
00
10
11
00
01
00
11
10
00
11
11
10
10
00
00
10
11
10
01
00
10
00
00
00
10
10
00
00
10
00
01
00
00
10
00
10
00
11
00
10
10
10
10
10
11
00
11
00
11
11
10
11
01
00
10
10
00
00
00
01
01
10
11
10
00
10
11
00
10
11
00
11
00
01
10
11
00
11
11
00
10
10
10
10
11
00
10
00
00
11
00
00
11
11
00
10
01
10
01
01
10
11
00
11
00
10
00
00
10
10
10
01
10
11
10
00
11
01
10
00
01
11
10
10
00
10
01
00
10
00
00
10
01
10
00
01
10
00
01
00
11
00
00
10
00
01
00
10
01
11
10
00
10
00
10
10
00
10
00
00
00
11
11
00
11
00
00
00
10
00
00
10
10
11
10
00
10
10
00
11
00
00
11
10
01
10
10
01
01
11
11
10
01
10
00
00
00
10
10
10
01
10
01
11
00
01
10
10
00
01
10
00
00
10
10
01
11
10
10
10
10
10
01
00
00
00
11
11
00
00
00
11
11
11
10
10
00
10
11
00
10
10
10
00
01
10
01
01
10
01
00
11
01
00
11
11
00
10
00
00
10
11
00
00
00
10
10
11
11
11
10
01
10
10
01
00
01
11
11
00
11
10
01
00
10
10
01
01
10
01
01
10
00
10
10
01
10
10
11
00
11
00
11
01
00
10
00
00
01
00
11
00
10
10
00
10
10
10
00
00
11
11
10
11
00
10
10
11
01
01
10
01
11
11
00
00
10
11
11
10
11
01
00
00
00
11
10
01
10
00
10
01
10
00
00
00
10
10
01
10
01
01
00
00
01
10
10
10
00
01
11
10
00
11
11
01
11
10
11
00
10
00
10
10
01
10
00
11
10
00
00
00
10
01
10
10
00
01
01
01
00
00
00
11
10
11
00
00
10
00
10
00
01
10
10
10
00
01
00
11
10
00
01
01
00
10
10
01
00
11
11
11
11
00
00
00
11
11
01
01
10
01
10
01
00
10
10
11
00
01
10
00
11
11
01
10
00
00
00
10
10
10
01
10
01
10
00
01
10
11
01
11
10
00
10
10
11
00
00
11
10
00
01
00
10
11
10
10
00
00
10
10
01
10
01
00
10
10
00
10
10
01
00
10
00
00
10
10
01
10
00
10
00
10
10
10
00
01
00
00
10
00
00
11
00
01
00
10
10
00
00
01
00
11
10
01
00
11
10
10
00
00
10
11
11
00
10
01
10
01
10
00
10
10
10
00
00
10
00
10
00
00
00
10
10
00
01
00
10
00
10
10
11
10
01
10
01
10
00
00
01
01
10
00
00
10
10
11
11
00
11
11
01
11
00
00
10
01
01
00
11
00
10
10
11
00
01
11
01
00
00
10
10
11
10
01
11
10
10
10
00
10
01
00
01
01
11
00
00
10
10
01
00
01
10
10
10
11
10
01
01
10
10
01
00
01
01
10
10
10
01
10
00
00
01
00
10
11
10
00
00
10
00
00
10
00
10
11
11
10
00
01
10
11
01
01
10
11
01
10
11
10
10
00
10
00
01
10
10
10
11
10
00
10
10
10
00
01
01
00
00
00
00
00
01
10
10
10
10
10
01
10
11
00
00
01
00
10
00
10
10
00
11
01
00
11
10
10
00
01
01
11
01
00
11
10
11
00
00
10
00
10
10
00
10
10
10
01
00
00
11
00
10
10
01
10
01
00
01
00
10
11
00
10
10
10
00
00
01
11
10
10
11
11
01
10
10
00
11
10
11
00
00
01
00
10
10
11
00
00
00
00
10
10
10
11
11
10
11
10
10
01
00
11
00
01
10
00
00
01
01
11
00
00
01
10
01
00
11
10
00
10
10
10
01
00
10
10
10
10
01
00
11
10
10
00
01
00
10
10
00
00
10
10
10
10
10
00
10
11
10
00
11
10
00
10
11
10
10
00
10
10
00
01
00
11
01
11
10
10
00
10
00
00
10
11
10
00
11
01
01
00
01
10
11
01
11
00
00
01
11
00
01
00
11
10
01
11
00
01
00
01
10
11
11
00
00
10
01
00
10
11
00
01
01
00
00
11
10
10
00
00
10
01
10
01
00
10
11
00
00
11
00
10
10
00
10
11
10
01
10
10
11
10
00
01
11
10
10
00
00
11
10
10
11
00
01
10
00
10
11
00
10
00
00
00
00
10
11
01
00
11
11
11
10
00
00
10
00
01
10
10
00
10
00
11
11
10
01
10
11
00
10
01
10
11
00
11
11
10
01
00
01
00
10
10
00
10
10
10
00
00
11
00
10
01
10
10
10
01
00
00
10
11
00
01
01
00
10
11
10
11
01
00
10
11
00
00
01
11
01
10
11
10
10
10
00
11
10
00
11
11
11
00
10
11
00
11
10
01
01
11
10
00
10
11
11
00
11
10
01
10
11
01
00
11
10
10
00
10
10
11
00
00
00
10
10
10
10
01
01
10
00
00
00
00
00
00
11
01
10
10
10
00
10
10
01
00
10
01
10
00
00
11
10
10
00
10
11
00
10
01
00
10
00
10
10
00
10
10
00
00
10
11
01
11
01
00
11
01
00
10
00
00
10
10
01
01
11
10
01
00
11
01
11
11
00
00
10
00
01
10
10
11
01
00
00
10
10
01
11
00
00
10
11
11
10
01
01
00
01
11
10
00
10
11
01
01
00
10
11
00
00
00
00
01
01
10
10
10
10
11
01
11
11
10
11
11
11
00
00
10
11
11
01
10
11
01
01
00
00
10
11
00
00
00
11
00
10
00
10
10
01
00
10
10
00
00
10
10
01
00
10
01
11
11
10
00
10
11
10
00
10
11
00
00
11
11
00
10
00
00
00
10
10
01
10
10
10
00
00
11
11
11
10
10
00
00
00
11
00
01
10
00
10
11
10
00
10
11
00
00
10
00
11
11
10
01
00
00
10
10
00
00
11
11
10
10
00
00
00
00
00
00
10
10
01
00
10
10
11
00
10
00
00
00
10
10
01
10
10
10
00
00
11
10
00
00
01
10
10
10
10
10
01
01
10
00
01
10
00
01
00
10
10
10
00
00
10
10
11
00
00
10
00
00
10
10
01
00
10
10
11
00
00
00
10
11
00
00
00
10
10
10
10
00
11
00
11
10
00
11
00
10
10
00
00
00
10
10
10
11
10
10
00
11
10
11
10
00
10
11
00
10
10
00
11
11
11
01
00
10
00
10
00
00
10
00
10
01
10
10
10
00
01
00
10
00
01
10
00
00
10
11
10
10
10
00
00
10
01
11
10
00
10
10
01
00
10
00
10
01
01
01
10
00
11
10
00
00
10
11
10
10
00
00
10
01
10
00
00
10
10
01
11
10
01
00
00
10
10
00
10
10
10
01
11
00
00
00
10
00
00
11
01
10
10
01
01
10
10
10
11
11
01
00
01
00
10
00
10
10
11
10
00
10
00
00
00
10
10
00
10
01
10
00
10
10
11
11
00
10
01
00
10
01
01
10
10
11
00
00
01
10
10
11
00
10
10
00
00
00
11
10
00
00
10
11
01
00
10
10
01
10
11
11
10
10
00
00
00
10
00
10
11
01
10
10
11
11
10
00
00
00
00
11
10
00
00
10
00
00
00
11
00
11
00
00
00
01
11
11
00
01
01
11
00
01
10
11
10
00
11
10
01
00
00
10
01
01
10
10
00
00
11
00
00
10
10
11
00
00
10
00
11
10
00
00
10
11
01
00
10
10
00
10
01
10
10
11
10
10
00
01
10
11
11
11
10
01
00
00
10
10
11
00
01
00
10
10
00
00
00
11
10
10
10
10
10
11
11
00
01
10
01
00
01
00
10
10
10
00
00
00
10
10
00
11
11
00
10
10
00
00
10
10
11
00
10
01
00
01
00
00
01
00
01
10
11
01
11
00
10
10
01
01
10
10
10
11
11
00
01
00
11
10
00
11
00
00
10
00
00
01
00
10
11
11
11
00
11
11
00
00
11
11
00
00
10
10
01
01
00
10
00
00
10
00
00
10
00
00
10
10
10
00
10
11
11
00
11
01
01
10
10
10
10
10
10
11
00
00
10
01
10
10
10
10
01
01
11
00
11
00
01
10
00
10
10
01
00
00
10
00
00
01
10
00
01
10
00
00
11
11
01
00
10
01
00
00
10
11
00
10
11
10
10
11
11
00
10
11
01
10
00
00
10
00
00
00
10
00
01
00
11
10
10
10
00
01
10
10
01
10
10
10
00
00
00
00
11
00
00
00
10
10
11
10
00
10
11
10
11
01
11
10
11
10
00
10
00
01
10
10
00
00
11
11
01
10
01
10
01
01
10
00
11
01
00
11
10
00
01
00
00
10
10
00
10
11
11
11
00
01
10
11
10
01
00
10
00
11
11
11
11
00
00
00
00
11
10
00
10
11
01
00
10
10
11
10
10
01
10
01
00
10
00
10
01
01
11
10
00
01
01
00
11
10
00
00
00
10
10
00
00
00
01
00
10
00
00
00
01
00
00
10
11
00
10
00
01
01
10
10
11
01
11
10
00
00
10
10
00
00
11
11
00
10
11
00
10
00
11
11
10
11
11
01
10
11
00
11
11
11
00
00
10
00
01
10
10
00
10
00
01
00
00
10
00
11
00
10
10
00
00
01
10
01
10
11
10
00
00
10
00
01
10
11
11
11
00
00
00
00
10
10
10
00
11
00
00
10
00
11
11
11
00
10
11
00
01
11
10
00
01
11
10
01
10
11
10
10
00
00
00
11
11
10
00
11
01
11
10
01
00
01
11
11
01
01
10
11
00
00
10
11
00
00
11
00
00
00
10
10
10
10
11
01
10
00
00
11
01
00
11
00
00
11
10
01
01
11
10
00
00
01
10
10
00
10
01
10
01
00
10
00
00
00
10
10
01
10
00
11
00
01
10
01
00
00
11
11
01
00
10
10
00
10
00
01
10
01
10
01
00
00
11
10
00
00
10
10
11
10
00
01
10
00
00
11
00
10
00
00
00
10
01
01
01
11
10
11
00
10
10
01
00
11
00
00
10
01
11
10
11
01
11
00
01
10
10
00
00
11
10
10
00
10
00
01
10
01
11
11
01
00
10
10
10
00
00
10
10
00
00
10
10
00
11
10
10
10
00
10
10
01
00
11
11
11
00
10
00
11
00
00
10
10
00
01
10
01
00
10
00
01
00
10
10
01
00
10
00
10
10
00
11
01
10
01
10
10
01
01
01
01
00
10
10
00
10
00
00
11
00
10
10
00
01
00
00
11
01
01
01
00
10
01
00
10
11
00
01
01
10
00
11
10
10
00
01
10
11
00
00
00
10
10
00
11
10
00
11
10
00
00
00
11
10
11
00
11
11
00
10
01
01
10
11
00
10
10
11
01
01
11
10
10
00
11
01
00
10
10
00
00
00
00
10
10
01
00
01
00
10
00
00
01
00
10
10
00
00
10
00
00
10
10
10
00
10
10
10
11
10
01
01
11
00
00
10
10
10
01
10
10
00
10
01
10
10
00
11
10
11
10
01
11
00
00
11
00
00
10
10
01
10
00
01
10
10
00
00
11
01
10
11
11
10
10
00
00
11
01
11
00
10
10
00
10
10
00
01
00
11
00
10
10
00
11
01
11
10
11
01
00
10
10
00
00
00
00
10
10
00
00
10
00
01
00
11
10
00
10
10
00
01
10
10
10
00
10
10
00
10
10
10
00
01
01
10
01
00
10
10
10
01
00
01
10
00
10
01
01
10
11
00
11
00
00
10
11
11
00
00
10
10
01
01
00
10
10
01
00
11
11
10
10
11
01
01
11
00
01
00
11
10
00
01
10
11
10
10
10
10
10
01
10
01
01
10
00
00
11
01
00
11
00
01
10
01
10
11
00
10
11
01
00
00
00
10
11
00
00
00
01
11
00
10
00
00
10
01
10
11
10
00
00
10
11
00
11
11
11
11
00
10
11
00
00
10
11
00
01
11
10
10
00
00
10
10
00
00
00
11
11
01
11
01
10
00
00
10
00
00
10
11
00
10
11
01
01
10
10
01
00
00
10
10
00
00
11
01
00
10
10
10
11
00
01
11
10
11
00
00
00
10
10
10
11
00
00
00
10
10
00
10
00
01
10
00
10
00
11
00
10
11
00
10
11
11
00
01
01
00
10
01
11
01
00
10
01
00
01
10
00
00
10
11
00
00
01
10
11
10
00
10
10
10
11
11
00
00
10
10
11
00
00
00
11
00
11
10
00
11
11
11
10
11
00
11
01
01
00
10
00
00
00
10
10
10
01
10
00
10
01
01
10
01
00
10
11
00
00
01
10
01
11
01
11
10
01
10
00
00
11
00
01
00
01
10
00
10
10
01
00
00
01
11
11
01
10
10
11
10
01
10
11
10
00
01
10
10
00
10
10
00
10
11
11
10
00
00
00
01
01
00
10
00
00
10
00
10
10
00
10
10
00
00
01
00
10
11
01
11
01
10
11
01
11
00
00
11
00
10
11
00
11
01
00
01
11
11
00
00
00
00
11
10
00
11
10
10
10
10
00
00
10
00
01
10
01
10
10
00
00
00
00
10
11
00
01
01
11
10
00
00
10
01
01
11
10
10
00
10
00
10
11
00
00
10
11
11
01
01
10
00
00
00
01
10
00
10
00
10
00
00
10
00
10
10
01
01
10
10
01
11
00
01
00
10
10
00
01
01
10
00
00
11
00
01
10
10
00
10
10
00
10
10
10
00
10
10
10
11
00
00
11
00
00
01
11
00
00
00
11
11
00
11
00
11
01
11
01
10
00
10
11
00
00
01
10
10
10
11
01
01
01
10
00
00
10
00
00
10
00
10
10
10
00
00
00
10
10
01
11
10
01
00
00
00
11
10
01
10
10
00
10
00
01
00
10
01
00
01
01
10
00
01
11
11
00
00
10
00
01
01
00
11
10
11
11
10
00
00
11
10
10
00
01
10
01
11
11
00
00
00
10
00
10
10
11
01
00
00
00
10
10
00
00
10
11
01
00
10
10
11
10
01
11
10
01
10
00
00
11
00
10
11
00
11
10
10
01
10
10
11
00
01
00
01
11
00
00
00
11
00
00
11
01
00
10
00
01
11
11
01
10
10
00
11
10
11
00
10
10
10
10
00
00
10
10
10
10
00
00
11
01
00
10
01
00
00
00
10
11
00
00
01
10
10
10
01
00
10
10
10
10
00
01
00
10
00
10
10
11
11
01
00
00
00
00
10
11
01
00
10
00
01
01
00
10
10
01
01
01
11
11
11
01
00
11
00
00
10
00
01
10
00
01
01
11
00
01
11
01
10
10
00
10
11
01
11
11
01
00
00
01
10
00
01
10
10
00
00
00
11
10
00
00
00
10
10
11
11
00
10
00
10
10
00
10
00
00
00
01
00
01
00
00
00
10
01
00
01
11
10
10
10
10
00
00
00
11
10
11
01
01
00
00
10
10
10
01
10
11
00
00
00
10
00
11
10
00
11
10
10
01
00
01
00
11
10
01
11
11
01
01
10
01
10
11
11
00
00
10
10
01
10
00
01
10
00
11
00
01
10
10
11
10
10
10
00
00
00
00
11
00
01
00
11
10
10
10
00
11
01
01
11
00
00
11
00
11
00
00
11
00
10
10
10
01
11
01
11
00
11
00
10
10
00
10
10
01
00
10
01
00
00
10
00
00
00
11
11
10
10
00
00
01
10
10
00
10
11
10
00
01
11
10
00
10
00
00
01
10
11
10
10
01
00
00
01
11
10
10
11
01
01
01
10
00
10
10
01
11
11
10
00
11
11
10
10
00
00
10
10
10
10
00
10
10
00
01
10
00
00
10
11
01
00
11
10
10
10
01
00
01
00
10
10
00
11
00
01
01
10
11
10
01
10
00
00
10
00
11
01
00
00
01
00
10
01
00
10
00
10
10
01
10
00
10
00
00
00
10
10
00
10
10
10
00
11
11
00
10
10
10
10
10
10
00
01
00
01
10
00
00
11
11
10
10
00
11
11
01
00
10
10
10
01
01
01
00
01
00
10
01
10
10
00
00
10
01
00
01
10
10
10
00
11
10
01
01
11
01
11
11
01
10
00
10
10
00
00
11
10
00
00
00
00
01
00
00
00
10
10
00
00
11
00
01
01
00
11
10
00
00
10
11
10
01
01
00
00
10
00
01
10
11
10
00
01
00
10
10
11
01
00
10
00
10
00
11
11
00
11
00
00
10
10
00
10
00
00
00
00
00
00
00
01
00
00
10
00
11
10
00
10
01
11
01
00
00
01
10
01
10
10
01
10
10
00
10
00
11
10
01
10
11
00
11
10
00
00
10
01
00
11
10
01
01
10
01
01
11
11
00
10
11
10
00
00
00
10
00
01
01
10
10
00
00
01
10
10
00
01
10
01
10
11
10
10
11
01
00
10
10
10
00
00
00
01
00
11
10
00
00
00
00
11
00
00
10
10
01
00
01
00
00
00
01
10
10
10
00
10
00
11
11
10
00
10
00
11
10
00
10
10
10
10
00
01
00
10
00
11
00
11
10
01
11
00
01
00
10
01
01
10
00
10
11
00
11
10
00
00
10
10
00
10
10
11
00
00
11
01
00
00
00
00
10
10
11
11
01
10
10
01
00
10
10
01
00
00
11
10
11
01
10
00
00
00
10
10
00
00
11
11
00
10
00
10
00
00
10
00
01
00
01
00
10
11
10
00
00
11
00
10
00
01
11
11
01
11
00
00
11
00
11
10
00
00
10
10
10
00
00
10
11
00
11
10
11
00
00
00
01
10
00
10
10
00
01
00
10
00
00
00
11
00
10
01
01
10
00
00
11
11
11
00
00
10
11
10
01
00
00
11
00
10
10
00
00
10
10
10
11
10
10
01
00
01
00
11
00
01
01
10
00
00
01
10
00
00
10
01
00
01
10
11
01
00
10
00
11
00
00
10
10
00
10
01
10
01
10
10
00
10
10
00
00
10
11
11
10
01
00
01
00
00
11
11
11
11
10
00
11
10
10
10
10
00
11
10
01
00
00
10
00
00
10
11
01
11
11
11
10
00
11
01
01
10
10
10
01
00
10
10
10
01
00
00
01
10
10
01
01
00
00
00
10
00
10
00
00
10
11
10
01
00
01
10
10
10
00
00
10
00
00
10
00
10
10
00
10
00
00
01
01
11
00
00
10
00
00
10
11
10
10
10
11
00
11
10
00
01
10
00
01
10
10
10
10
11
01
01
00
00
10
10
11
01
01
11
11
10
00
10
11
11
10
10
01
11
10
00
11
00
11
01
00
01
10
10
00
10
11
01
10
10
10
01
01
10
00
00
11
10
00
11
10
00
11
11
00
11
10
01
00
11
01
00
00
10
01
10
10
00
00
01
10
10
10
10
11
00
00
10
10
00
00
00
11
11
00
10
10
10
00
11
10
00
10
10
11
10
00
01
11
10
00
10
11
10
00
10
01
01
00
11
11
10
00
10
00
10
01
01
10
10
00
00
10
00
11
00
11
11
11
10
01
01
10
10
00
10
00
01
00
10
11
11
10
10
00
00
01
01
00
11
10
10
10
00
00
00
11
00
00
10
10
11
10
00
10
11
10
10
00
00
01
00
01
10
10
00
10
10
10
10
01
10
01
01
10
01
10
00
10
11
00
10
10
01
10
11
00
01
11
00
10
10
00
10
01
01
00
01
10
11
00
00
10
10
00
00
10
10
10
01
01
01
10
10
01
10
11
00
01
10
01
11
11
01
01
00
10
10
00
11
10
00
10
10
10
10
00
11
10
10
01
01
10
10
00
00
10
10
00
11
01
01
00
01
00
01
11
11
01
10
01
10
00
00
11
10
10
00
01
00
00
00
10
00
01
11
11
10
01
10
10
11
11
00
10
10
01
10
00
00
00
00
11
11
11
10
00
10
00
10
10
01
00
00
11
00
01
01
00
00
11
11
00
01
11
10
01
00
10
10
00
00
01
01
10
10
01
10
10
00
11
00
00
10
10
00
10
10
00
11
10
00
01
11
10
11
01
10
01
00
00
11
01
00
10
10
00
00
11
10
11
00
10
10
10
10
00
00
10
00
00
10
10
00
01
10
01
00
10
11
10
01
00
10
00
10
00
00
00
11
10
10
00
00
10
10
10
00
00
01
10
10
10
11
01
10
11
10
10
00
00
11
00
01
11
11
00
11
11
00
11
10
00
00
10
00
00
00
11
10
10
00
10
00
10
01
00
11
10
01
10
10
00
01
00
10
00
00
10
00
00
10
10
11
00
10
10
10
11
10
10
11
01
01
11
10
00
00
10
10
10
00
00
01
00
11
10
10
10
00
00
11
00
00
10
10
10
10
00
00
11
10
10
10
11
10
10
01
01
11
00
10
10
11
00
01
10
10
00
00
10
11
11
00
10
00
00
00
10
11
00
00
10
10
11
10
11
00
10
01
10
11
00
11
11
11
00
00
10
10
10
00
11
11
01
11
10
11
00
01
00
01
01
10
00
00
10
01
00
10
11
00
11
01
01
10
10
11
10
00
01
10
10
00
10
10
11
01
00
00
00
10
00
10
10
00
01
10
11
00
10
00
01
10
00
01
10
11
10
11
00
00
11
00
11
11
10
01
00
10
10
00
00
00
00
11
10
00
01
11
10
00
10
10
10
00
00
10
11
10
11
00
00
10
01
10
10
00
01
01
11
01
11
00
01
10
01
01
10
11
00
00
11
10
00
00
11
11
11
10
10
00
10
10
11
10
00
11
11
11
00
10
10
10
01
10
10
00
00
00
00
00
00
10
10
11
00
10
10
11
00
01
00
01
11
00
10
10
00
00
10
10
01
01
00
10
10
01
10
10
01
00
10
10
11
10
00
00
10
11
01
10
01
00
10
00
00
10
00
00
10
01
10
00
00
01
01
10
00
10
10
10
01
10
10
00
00
00
10
10
00
10
00
00
10
10
11
11
00
01
00
11
11
10
00
11
10
00
00
10
10
11
00
00
11
11
00
10
00
00
01
10
10
10
11
01
01
11
00
01
10
10
10
01
00
10
10
01
00
10
00
10
10
01
10
00
10
10
01
00
00
11
11
01
11
01
10
10
10
00
11
10
00
01
01
00
01
10
11
11
00
10
01
00
00
00
10
10
01
10
10
10
11
11
10
00
00
00
11
00
00
10
10
10
11
10
11
01
01
00
00
00
10
10
00
10
00
00
00
00
11
00
10
00
00
00
01
10
10
10
10
11
00
00
00
10
10
10
01
00
00
11
10
00
01
00
10
00
01
10
11
01
00
01
01
10
00
01
01
11
11
10
10
00
10
10
00
01
10
11
00
11
10
11
01
01
11
10
10
00
10
11
00
00
10
00
10
00
10
00
00
11
00
00
11
01
11
10
00
10
00
00
00
00
10
00
11
01
10
11
00
01
00
10
10
01
01
11
11
00
10
01
00
11
10
11
01
00
10
01
01
01
00
11
10
00
10
10
01
01
00
10
00
10
01
00
11
10
11
10
00
00
01
10
10
10
11
10
01
10
10
00
00
10
00
10
10
10
00
00
01
01
01
10
10
10
01
10
10
01
00
11
10
00
00
11
00
10
11
00
00
10
01
01
00
10
11
11
10
00
00
11
10
01
10
01
00
10
10
01
10
11
00
00
10
10
11
10
10
00
10
00
01
00
10
00
00
10
00
01
11
01
00
10
00
11
10
10
11
10
00
00
10
10
00
10
01
11
10
10
00
00
01
10
11
01
01
10
10
01
00
00
10
11
10
01
00
00
11
10
11
10
10
00
00
10
10
01
10
00
10
01
00
10
00
10
10
01
00
10
10
00
11
10
00
00
00
10
11
11
00
00
10
01
10
11
10
00
11
11
00
00
00
10
11
00
00
11
00
11
01
00
10
00
10
10
01
11
00
01
00
00
10
00
10
10
00
10
01
01
01
00
01
00
00
10
10
10
11
00
00
01
10
10
10
10
10
00
11
10
00
11
00
10
10
11
00
10
00
10
00
00
01
11
10
10
10
01
01
01
00
11
10
00
01
00
00
10
10
00
01
11
10
00
01
00
01
01
00
10
11
01
11
10
01
01
00
00
01
10
11
00
11
11
01
11
01
01
00
00
10
00
01
10
11
00
01
00
00
00
11
10
00
01
00
00
10
00
11
00
01
00
00
10
00
11
11
01
00
00
10
11
01
00
10
10
11
01
00
00
10
00
00
10
10
10
01
11
01
00
10
00
00
11
10
00
10
00
11
10
00
10
10
10
01
00
10
01
00
10
00
00
10
01
10
11
00
00
01
11
00
00
00
10
11
00
10
00
01
10
10
11
01
10
10
00
00
00
10
10
10
01
00
00
01
01
01
10
10
01
11
00
01
10
11
10
11
00
00
11
10
01
00
10
10
01
00
00
10
00
01
10
00
11
00
10
00
00
10
11
00
11
00
10
01
11
10
00
10
11
10
00
01
10
10
10
10
00
10
11
00
11
00
10
11
10
01
00
00
00
00
00
10
10
00
00
10
00
11
01
11
00
00
01
10
00
10
10
00
01
00
10
10
00
10
10
10
01
10
10
10
00
00
10
01
11
10
10
00
10
01
10
00
10
00
00
11
00
00
10
11
01
00
11
10
00
00
00
10
10
00
01
11
01
10
11
10
01
00
00
10
10
10
00
00
10
00
00
01
00
10
10
11
10
01
01
00
11
10
10
11
00
00
11
10
00
00
01
10
10
00
00
01
10
10
00
00
10
01
00
11
11
10
01
10
00
00
11
01
01
10
11
01
01
00
10
00
10
10
01
00
10
00
10
00
00
11
10
10
00
10
11
11
10
10
01
00
01
00
11
00
10
10
10
00
00
00
01
11
10
11
10
00
10
10
11
10
10
01
00
01
01
00
01
10
10
10
10
00
00
11
11
11
01
00
11
01
10
01
01
10
00
00
11
11
00
10
11
10
11
00
00
01
00
01
10
01
01
11
10
00
00
10
10
00
11
00
11
10
10
11
10
11
01
11
10
11
11
00
10
00
01
10
10
00
00
10
00
10
10
01
00
10
00
10
10
01
10
11
01
00
01
00
00
01
00
10
10
10
01
10
01
11
10
11
10
01
10
11
10
00
10
11
10
00
10
11
10
00
00
11
11
00
11
10
11
00
10
01
11
11
01
01
01
00
11
01
00
10
10
11
01
01
10
00
00
00
00
00
10
11
00
00
11
10
10
00
11
00
01
11
00
11
10
10
11
01
11
10
00
10
10
00
10
10
00
10
01
00
11
00
00
10
10
10
11
11
00
10
10
00
11
10
00
10
11
10
00
01
10
01
01
00
00
00
11
00
00
10
00
00
00
11
00
11
11
00
01
10
10
10
10
00
10
01
00
10
01
10
00
00
10
00
00
00
10
01
11
01
01
01
10
00
10
01
00
00
10
11
00
00
01
11
00
10
10
00
00
10
11
10
00
11
10
01
00
00
00
10
01
10
10
01
00
00
01
11
10
10
10
00
00
01
10
11
10
00
10
10
00
00
01
10
01
00
01
00
01
00
10
10
00
00
11
11
11
00
11
00
10
00
10
01
00
11
10
00
00
10
10
10
10
00
00
10
11
10
00
10
00
10
10
11
10
01
00
10
00
01
00
10
01
00
10
00
11
10
00
00
11
11
01
11
00
10
10
11
00
00
10
10
00
00
01
00
10
10
01
10
10
00
00
00
00
10
10
11
01
00
00
00
10
00
00
11
10
01
00
10
11
01
00
11
00
10
10
11
01
11
01
00
10
11
10
00
11
10
11
00
11
10
11
00
00
10
10
10
11
10
11
10
11
01
00
01
00
10
11
00
00
00
10
11
10
10
10
10
10
00
10
01
01
10
01
00
11
01
00
11
00
11
10
01
01
00
10
11
10
00
00
10
00
00
00
11
00
01
10
10
10
11
10
00
01
11
10
11
11
00
00
00
11
10
11
00
00
00
10
10
10
00
10
00
01
00
01
10
01
00
10
11
00
00
10
10
00
00
11
11
00
00
11
10
10
10
11
00
01
01
01
11
10
11
00
01
01
11
11
10
00
00
00
10
00
10
01
00
10
00
10
00
11
10
01
10
10
01
01
11
00
00
10
10
01
11
10
00
10
00
11
11
00
01
10
10
00
01
10
10
01
00
10
00
01
10
10
10
00
01
10
00
00
01
10
00
00
00
11
11
11
00
10
01
01
01
11
10
10
00
11
00
01
11
00
11
10
00
00
10
00
11
10
00
10
11
00
10
11
10
01
10
10
10
11
00
00
01
10
00
01
11
11
10
01
10
00
10
00
01
11
10
00
11
00
00
01
10
10
00
00
10
10
00
01
01
11
10
10
01
10
01
01
10
11
11
10
00
10
10
10
00
00
11
11
10
10
00
10
00
10
10
01
00
10
00
00
00
00
10
01
11
10
11
00
10
11
00
10
01
10
10
10
00
00
10
00
10
10
01
00
10
00
01
10
01
00
10
11
01
00
10
01
01
10
10
11
11
00
10
11
01
10
10
11
00
01
10
00
10
11
10
01
00
11
00
00
10
10
10
00
00
10
01
00
00
00
11
00
00
01
00
10
10
11
10
10
10
00
10
00
00
11
00
01
00
01
01
10
10
10
11
01
00
10
11
10
10
00
10
01
01
00
00
00
00
01
00
11
10
00
10
01
11
00
10
01
01
10
01
10
00
00
01
10
00
00
10
00
10
01
00
01
10
00
00
10
01
10
10
01
00
01
10
10
00
00
10
00
00
00
10
00
10
00
11
10
00
11
10
10
01
10
01
00
10
10
01
01
00
01
11
10
10
00
00
10
10
00
00
11
00
00
10
10
10
10
11
01
01
10
00
01
10
00
10
10
01
00
00
10
11
10
00
11
00
00
10
10
00
10
00
10
10
00
11
00
00
11
11
00
10
00
11
01
10
00
00
10
10
10
01
10
00
00
01
10
10
00
00
11
10
11
01
11
10
00
00
01
01
00
11
10
00
10
10
00
11
10
00
00
10
00
00
10
10
11
00
00
10
10
11
11
11
00
10
10
10
01
10
10
00
00
00
01
01
11
00
10
10
10
00
00
00
10
10
01
11
01
00
10
00
10
10
00
11
10
00
00
00
10
00
01
10
00
00
10
10
10
01
10
11
10
01
01
00
00
00
11
10
01
00
11
00
00
11
10
01
01
10
10
11
01
00
11
01
00
10
10
10
00
00
01
10
00
10
11
10
11
01
10
11
11
10
00
10
10
10
00
00
10
01
00
01
10
10
01
00
10
00
01
10
10
00
00
11
10
00
00
10
10
11
10
11
10
00
00
01
00
01
10
10
01
01
10
10
11
11
10
10
10
00
01
10
00
01
10
00
00
10
11
00
01
10
01
11
00
10
10
01
10
11
10
00
01
10
00
11
01
00
00
10
10
00
00
00
10
11
11
00
11
10
01
00
00
10
10
11
01
00
10
01
01
01
00
00
11
00
00
11
10
11
10
11
00
11
01
01
10
11
00
10
11
00
10
01
10
11
10
00
10
10
10
00
11
11
11
00
10
00
00
10
00
10
11
01
10
11
10
01
11
00
00
11
10
00
10
10
10
10
01
00
10
00
00
00
01
11
10
00
10
11
00
10
10
01
00
10
10
00
10
10
00
10
10
11
11
01
00
00
01
11
11
00
10
10
11
10
00
00
10
10
01
00
10
10
00
10
00
10
00
10
10
00
10
10
00
00
10
10
11
00
10
10
10
11
10
00
00
01
10
11
11
10
00
11
11
10
11
01
10
00
00
00
00
10
11
00
00
01
00
00
10
10
00
11
01
00
11
10
01
10
10
00
00
10
11
10
10
00
00
10
10
10
00
10
11
00
01
10
10
10
01
00
00
00
10
10
10
11
00
11
11
10
01
01
00
01
00
11
10
10
01
11
10
00
11
11
11
01
01
00
10
01
01
10
10
10
00
00
10
00
11
10
10
11
11
10
10
10
01
00
10
10
01
00
11
01
00
10
01
10
11
11
10
11
11
00
00
11
10
01
10
10
01
00
11
01
00
10
10
00
10
11
01
11
01
00
11
10
01
10
10
01
10
10
01
11
10
00
00
11
00
00
01
11
00
10
00
00
10
11
11
01
00
11
01
01
01
11
01
01
10
01
01
10
10
00
01
10
00
01
10
10
00
11
11
00
00
00
10
01
00
10
10
10
00
00
11
00
01
10
10
00
10
10
00
10
00
00
11
10
00
10
10
10
01
01
10
10
00
10
00
00
10
00
00
11
10
11
11
10
11
00
01
01
10
11
00
00
10
10
00
11
00
01
00
10
10
00
00
00
10
10
10
10
00
01
11
00
10
10
00
11
01
00
01
11
01
11
01
01
10
00
10
00
00
11
11
00
00
00
10
01
10
10
11
10
01
01
11
10
11
10
00
10
10
00
10
00
11
10
01
10
01
10
10
00
11
00
01
01
10
00
10
11
00
00
10
11
11
01
11
10
01
00
00
10
11
10
00
01
10
01
11
00
01
00
00
11
10
01
10
00
00
00
00
10
01
01
01
10
10
00
01
10
00
00
10
10
11
10
01
10
00
00
00
00
01
00
11
11
01
00
11
10
00
00
11
01
00
10
10
10
00
00
00
00
11
00
10
11
00
10
10
01
00
00
01
10
10
10
00
01
00
11
00
00
11
10
11
10
00
00
10
00
11
10
00
10
10
11
00
01
10
10
00
01
11
01
01
11
11
00
00
00
00
10
11
00
00
10
00
10
00
10
10
10
00
00
00
10
10
10
10
00
10
00
01
00
11
00
01
00
01
10
11
00
00
10
11
11
00
11
11
10
01
01
00
10
10
00
11
10
01
01
00
10
00
01
11
10
01
10
11
00
00
10
01
10
10
00
10
01
10
10
00
01
11
10
11
01
00
10
00
10
11
11
00
01
10
11
10
01
01
00
01
10
10
00
11
11
11
00
00
10
01
10
00
01
10
01
10
10
11
11
10
00
10
10
10
00
00
00
00
00
10
10
10
10
00
11
01
00
10
11
10
00
10
10
00
00
01
11
10
00
00
11
00
10
11
01
11
10
00
00
00
01
00
11
10
10
01
00
01
10
10
00
00
00
10
10
01
10
11
00
00
01
10
00
11
10
00
11
00
00
10
00
10
11
00
00
10
11
00
10
00
00
10
00
01
11
00
10
01
01
11
01
01
10
00
00
01
10
01
00
10
10
01
10
10
10
11
00
10
11
01
01
10
10
00
00
11
10
10
01
10
01
01
00
00
00
10
10
10
01
00
10
10
00
11
11
11
00
10
10
10
00
10
01
01
10
10
10
10
11
11
01
10
10
00
10
11
11
01
01
00
00
11
10
01
00
00
10
10
00
00
10
10
11
11
00
10
11
10
01
00
01
00
10
10
10
11
01
00
11
10
10
10
00
10
10
00
00
00
01
00
10
00
11
01
00
00
10
10
10
00
00
10
00
00
10
00
00
10
10
00
00
00
11
10
00
00
01
01
01
00
10
10
10
00
01
00
10
00
01
10
11
10
01
10
01
01
10
00
00
10
00
10
01
00
01
10
00
10
11
01
11
01
01
11
10
11
11
11
00
00
00
10
00
11
10
00
11
11
11
01
10
10
00
00
10
00
10
11
01
10
10
00
10
00
10
00
00
01
11
10
00
00
01
10
11
10
11
00
10
11
10
01
01
01
11
01
01
10
10
00
01
11
10
00
00
10
11
10
00
00
10
10
00
10
10
10
10
10
00
10
11
01
00
10
10
10
00
10
00
00
10
00
10
10
10
01
00
00
10
11
10
10
00
10
00
00
10
00
00
01
10
10
10
10
01
10
10
10
11
01
01
00
10
01
00
00
10
10
00
00
00
10
10
10
00
00
11
11
10
00
10
00
01
11
10
00
00
00
11
00
11
11
01
11
01
00
10
10
00
00
10
10
00
00
10
11
10
01
00
11
00
00
01
10
00
10
01
00
00
10
00
00
00
00
10
11
01
01
01
10
10
10
11
11
10
01
01
10
10
00
10
01
01
10
10
10
00
00
10
00
00
10
00
11
00
00
01
10
10
00
11
01
11
10
01
11
11
10
10
11
10
10
00
00
10
00
00
11
00
00
01
10
11
00
01
00
11
10
10
00
00
00
10
10
11
00
00
11
00
11
10
11
01
10
10
01
00
00
01
00
10
11
10
00
00
11
01
00
01
10
00
01
11
00
10
00
01
00
10
10
00
10
11
01
01
10
01
11
01
00
01
10
11
00
00
11
10
01
00
10
10
00
01
10
00
10
11
00
00
11
00
00
00
11
10
00
00
11
00
11
10
00
00
11
10
10
11
00
11
01
11
10
10
01
01
00
10
10
00
01
10
01
00
01
11
00
00
11
00
00
10
00
00
10
11
10
00
00
01
00
01
00
11
11
11
01
11
11
00
10
11
00
00
00
10
10
01
00
11
10
10
00
10
01
10
01
00
00
10
00
10
00
00
11
00
01
00
00
00
10
10
01
11
10
00
01
10
00
11
00
10
11
00
11
10
10
00
00
10
10
10
00
11
01
11
00
01
00
01
10
00
01
10
11
00
11
10
00
11
00
10
00
00
10
10
11
10
10
10
10
01
10
10
00
10
10
10
01
11
10
10
00
00
00
00
11
00
10
00
10
01
01
10
10
10
01
10
11
11
01
11
11
00
00
11
11
01
01
10
01
11
11
11
11
10
00
01
01
10
00
00
11
11
00
11
00
00
01
01
11
01
11
10
10
00
01
11
10
00
01
10
00
10
10
10
01
11
10
00
10
10
01
00
00
10
11
01
10
10
10
10
10
10
01
00
10
11
10
00
00
00
11
10
00
01
00
11
10
00
00
10
11
10
00
10
11
10
11
00
01
00
10
01
10
01
11
00
01
10
10
01
00
10
00
11
10
00
10
10
10
10
00
01
10
10
01
10
11
00
00
10
01
00
10
10
00
01
10
10
10
11
00
10
00
00
11
10
11
10
00
00
01
00
00
10
11
01
01
00
11
10
01
01
01
10
10
00
00
01
00
01
10
01
01
01
10
11
10
10
00
00
10
10
10
00
01
00
10
10
00
11
10
00
00
10
10
00
10
10
10
01
01
00
10
10
01
00
01
11
10
00
10
10
10
10
01
00
01
10
01
01
01
00
10
10
01
10
11
10
01
01
11
11
00
01
10
11
00
01
10
10
00
00
00
00
10
10
00
10
01
01
00
01
01
00
00
00
01
11
01
10
11
10
11
00
11
00
10
00
00
11
11
10
10
10
10
00
00
11
00
00
11
00
01
01
00
10
00
11
10
10
00
01
10
11
10
01
01
01
11
10
00
10
01
00
10
10
00
00
01
10
01
11
10
00
11
10
10
00
01
10
10
00
11
10
01
00
00
10
01
10
00
10
10
00
01
01
10
00
10
00
11
10
01
10
11
10
00
10
00
00
01
01
11
10
10
01
11
00
01
00
10
00
10
01
11
11
00
01
10
11
01
00
10
11
00
00
11
10
01
00
00
10
10
00
10
00
00
10
10
11
00
00
01
00
00
01
00
10
01
00
10
10
00
00
10
11
00
01
10
11
00
10
10
00
01
10
10
00
00
11
10
10
01
01
00
00
10
10
00
01
10
00
11
10
10
11
10
01
10
10
00
01
00
10
10
01
00
10
00
00
01
11
11
11
01
10
10
10
01
11
10
10
01
00
11
10
10
00
01
10
11
10
10
00
00
00
10
10
00
01
10
00
00
11
01
11
10
10
01
10
10
00
10
01
00
01
00
01
10
10
10
10
10
00
00
01
00
10
10
00
00
00
10
01
10
00
00
01
11
10
10
00
00
00
10
10
01
10
10
00
10
01
11
10
11
01
00
11
00
10
11
10
01
01
01
10
10
11
00
10
10
00
00
01
00
10
01
00
01
11
00
10
10
00
00
10
11
00
11
11
00
00
10
11
00
10
10
01
00
01
00
10
01
00
11
00
10
00
10
00
10
10
00
10
11
10
00
10
01
11
10
10
01
01
10
10
11
00
01
00
11
10
01
00
10
01
01
11
10
10
10
10
10
01
00
10
00
01
10
10
10
00
10
11
10
01
01
11
10
10
10
01
01
11
00
00
00
11
10
01
01
10
10
10
10
00
00
11
10
10
10
11
11
01
11
10
10
00
00
00
00
10
11
10
11
00
11
01
01
11
11
10
01
10
00
00
10
10
00
01
11
10
01
11
01
11
11
01
01
10
11
11
00
00
10
10
00
11
00
00
10
10
00
11
11
01
10
10
00
11
11
10
11
01
00
01
10
11
00
10
11
11
00
00
01
00
00
10
10
10
10
01
00
01
10
00
10
10
01
01
00
10
01
00
10
10
00
10
11
00
10
10
11
10
10
00
00
10
11
11
00
10
00
10
00
10
10
00
10
10
00
00
10
10
10
00
00
00
00
10
00
10
10
10
01
10
10
00
10
10
01
00
00
11
10
00
10
00
10
10
10
10
10
00
10
00
10
11
10
00
01
00
01
10
10
00
01
00
10
00
01
10
00
00
10
11
00
11
11
00
10
10
11
11
10
00
00
11
11
10
00
10
01
11
11
01
10
10
10
01
01
10
00
10
10
10
01
00
00
11
10
10
11
10
11
10
11
10
00
00
11
10
01
11
10
11
00
01
00
00
10
00
00
00
11
10
01
00
01
00
01
00
10
11
00
10
10
00
00
10
11
10
01
11
10
01
00
00
11
00
01
10
11
00
10
10
10
10
01
10
10
10
10
01
00
00
01
10
10
00
00
00
00
10
10
10
01
00
10
10
11
10
10
00
01
01
10
01
00
10
00
00
00
00
11
10
11
00
11
11
10
10
11
00
00
11
10
00
00
00
00
01
10
10
11
00
00
00
00
01
10
01
01
10
11
00
00
00
10
10
11
01
01
11
00
10
10
11
10
11
10
00
01
10
10
00
01
10
10
10
01
01
10
00
00
10
10
11
00
00
00
01
10
10
00
00
11
10
01
10
10
00
10
10
00
00
11
11
01
11
11
10
00
10
10
10
00
00
11
00
00
00
00
01
00
10
10
00
00
10
11
01
11
10
10
10
11
11
00
10
10
10
10
00
00
11
10
10
10
10
10
00
10
01
11
11
10
01
11
00
11
10
00
00
10
10
01
10
10
00
01
11
00
00
00
11
00
11
10
00
01
01
11
10
00
00
10
10
00
11
10
01
11
01
00
00
10
10
00
10
10
00
10
10
10
11
10
01
01
00
10
11
10
00
10
00
00
10
11
10
10
00
00
11
11
10
10
01
10
10
10
01
00
10
11
01
10
00
00
11
01
00
10
11
00
10
00
01
00
10
00
10
10
00
01
10
00
10
10
11
00
00
11
10
01
11
10
00
00
10
10
00
00
00
11
00
01
00
00
11
00
01
00
10
10
00
01
10
01
11
11
01
10
10
10
11
00
00
11
10
01
00
00
00
10
10
00
00
00
10
00
10
00
00
00
00
10
01
00
00
10
00
11
11
10
01
00
00
00
10
11
00
11
10
10
00
11
11
11
11
00
00
11
01
11
10
00
01
01
00
01
10
10
00
00
00
00
10
10
10
11
10
01
00
10
11
10
01
11
10
00
10
10
10
10
00
00
00
11
11
10
11
01
01
10
01
01
00
10
11
10
00
00
10
11
00
10
10
10
00
10
10
00
01
11
10
10
11
00
01
10
10
11
00
10
00
00
00
01
10
00
01
11
11
10
00
00
10
11
11
01
11
10
01
01
00
00
00
01
10
01
00
10
10
00
00
10
00
00
00
11
11
10
10
00
10
00
10
00
00
00
10
10
01
10
10
01
10
00
00
10
01
10
11
01
01
11
01
00
00
10
10
11
00
00
11
10
00
10
10
11
00
00
10
10
01
11
01
00
00
11
00
00
00
10
11
10
11
00
10
01
11
01
01
10
11
01
01
11
10
10
00
00
00
10
10
00
00
10
00
01
00
11
00
00
00
10
10
01
00
00
00
01
10
10
11
11
10
00
00
00
10
10
00
11
01
11
01
00
10
00
10
00
00
00
10
10
01
10
10
01
00
00
10
10
00
00
11
11
10
00
11
10
10
01
10
11
00
10
01
01
10
01
10
01
00
10
10
10
00
11
10
01
01
10
11
11
00
10
10
00
10
10
11
00
00
10
01
00
10
10
01
10
01
10
10
01
00
00
01
00
11
01
00
10
00
00
11
00
00
00
00
00
10
10
00
10
00
01
00
00
10
00
10
00
00
10
00
00
10
01
00
10
10
10
00
11
00
10
10
00
01
10
00
10
01
00
00
00
11
01
10
00
11
11
00
11
01
01
10
11
00
00
00
00
00
10
11
00
10
01
01
11
10
00
00
11
10
10
11
00
01
10
01
00
10
00
11
10
10
11
01
10
10
01
01
00
10
11
00
11
10
10
00
01
00
10
00
01
10
10
00
01
11
10
00
01
01
10
11
10
00
10
01
01
11
01
11
00
00
10
10
10
01
00
00
10
11
10
00
00
11
00
10
10
00
01
01
10
10
11
00
10
01
00
11
10
10
10
01
11
00
01
11
00
01
10
10
00
11
11
00
10
01
00
00
10
00
01
10
11
10
00
10
10
01
00
10
10
11
00
00
01
10
10
10
10
00
10
10
00
00
00
11
10
10
00
00
00
10
11
11
01
01
01
10
10
11
11
10
00
00
11
00
10
00
01
10
01
00
11
01
00
11
11
11
11
11
00
00
01
11
11
00
10
11
11
10
01
00
00
00
10
11
00
01
11
00
00
10
10
10
11
11
10
00
00
10
10
01
00
11
01
00
10
01
00
11
00
01
11
10
11
10
11
00
01
10
10
10
01
01
00
00
10
10
11
11
01
00
10
01
00
01
11
10
10
00
01
10
01
00
11
00
00
00
00
10
11
00
00
10
10
10
10
01
10
10
00
00
00
10
00
00
00
10
10
10
01
00
01
11
10
00
10
10
00
10
10
11
11
00
11
01
01
10
00
00
01
10
00
01
10
10
11
11
10
00
00
00
10
11
10
11
11
01
11
10
00
11
10
01
00
00
01
00
10
11
00
00
01
10
00
10
10
01
00
11
00
11
10
11
11
00
11
00
00
10
10
10
01
01
10
00
10
00
01
01
10
10
00
10
00
00
10
11
10
11
00
00
10
10
00
01
10
00
10
10
01
01
11
10
01
10
00
10
11
11
00
00
01
10
10
01
01
00
10
00
00
00
00
10
11
01
00
00
10
10
00
11
00
01
01
10
01
10
01
11
00
00
10
00
01
11
00
00
11
11
10
00
10
10
11
00
01
10
10
10
00
01
11
11
00
10
10
00
00
11
01
11
11
01
11
00
01
11
10
00
00
11
00
10
10
00
11
10
00
00
10
10
10
00
10
10
00
10
01
10
10
11
00
00
10
00
00
10
00
01
11
10
10
10
01
10
11
00
10
10
01
10
10
10
01
10
01
00
00
10
10
10
11
00
10
01
10
00
11
01
10
11
00
01
01
00
11
10
01
00
00
11
01
10
01
11
00
01
00
10
11
10
00
01
00
01
10
00
00
11
10
10
11
01
11
11
01
00
00
00
10
10
00
01
10
00
10
00
10
01
10
10
00
00
00
11
10
00
01
00
00
00
00
10
10
10
01
10
10
01
10
00
10
10
01
10
00
10
00
10
10
11
00
00
11
01
10
10
00
10
00
00
00
00
10
10
10
10
00
10
10
10
11
00
10
10
11
01
11
10
10
01
11
00
00
10
11
01
00
10
10
10
01
00
00
11
10
01
11
00
11
10
10
01
00
10
10
11
00
00
00
00
10
00
11
10
10
00
01
01
10
00
10
10
00
00
10
00
00
10
10
10
01
10
00
01
00
11
11
11
00
10
10
01
11
10
01
00
00
10
10
11
01
01
00
10
10
00
00
10
10
01
11
10
11
10
01
00
10
11
00
10
10
01
11
00
00
11
00
11
00
01
01
00
00
10
00
11
10
01
10
01
10
10
01
10
10
00
11
10
10
10
00
00
00
11
10
10
00
10
01
10
00
01
10
00
00
01
01
00
10
10
10
11
01
10
10
10
00
11
10
10
01
10
01
10
11
10
00
01
00
00
10
01
00
11
11
00
10
10
11
01
00
10
10
11
00
01
00
11
10
00
01
11
01
00
00
01
10
11
10
11
00
00
00
10
10
00
11
00
11
00
00
00
00
10
10
10
00
00
00
00
11
00
11
00
00
00
10
01
10
11
01
00
00
01
01
00
01
10
11
10
01
01
10
10
00
00
10
00
00
10
00
00
01
11
11
01
00
10
00
00
11
10
00
00
10
11
10
00
10
01
00
00
11
11
01
10
00
00
00
10
10
11
01
00
10
01
10
01
01
11
00
00
00
10
10
00
00
10
01
00
10
00
00
10
10
10
11
10
00
00
10
00
10
00
10
10
01
10
00
10
10
10
00
10
00
01
00
11
11
01
00
00
10
10
10
10
10
00
11
01
00
11
00
11
10
01
00
01
00
10
00
00
01
10
10
00
01
00
10
01
00
10
10
00
00
10
00
10
11
01
01
11
00
01
10
11
11
00
00
00
10
11
10
10
11
11
10
11
00
00
00
10
00
10
10
01
00
11
10
10
01
00
10
00
10
10
10
00
00
10
01
11
10
00
01
10
10
11
11
10
00
01
01
00
11
10
10
11
11
01
01
10
00
11
10
11
00
00
10
10
10
00
11
10
01
01
10
00
01
01
00
11
10
00
10
01
01
00
11
11
00
00
10
11
10
10
00
00
10
10
00
00
00
11
01
10
00
00
00
01
00
01
00
10
10
00
00
00
01
10
10
00
10
11
11
10
01
01
10
11
10
00
11
00
00
11
00
01
11
10
11
00
11
01
10
10
00
00
10
10
10
01
00
00
11
10
00
01
00
10
10
01
10
01
01
00
11
00
11
01
11
11
00
10
10
00
01
01
10
11
11
10
10
00
00
10
10
00
00
00
00
11
01
10
11
10
10
00
11
00
01
10
11
00
11
10
10
10
00
00
00
10
10
01
00
00
01
10
00
01
01
10
11
10
01
11
10
00
01
00
10
00
10
00
10
10
11
00
00
00
00
00
10
00
10
10
00
10
11
01
00
00
10
01
10
10
00
00
00
11
10
10
00
01
11
10
11
10
00
10
10
00
10
00
00
10
00
10
10
10
10
01
00
00
10
10
00
00
10
00
10
01
01
00
00
11
00
00
10
10
01
11
10
00
10
11
00
00
00
00
11
10
11
10
01
00
10
10
01
00
00
01
11
00
10
00
11
10
10
10
00
10
00
00
00
11
00
10
10
10
00
00
00
11
10
10
00
10
00
00
10
11
11
00
10
00
11
01
01
01
11
11
01
00
10
11
00
00
10
01
00
00
10
10
00
11
10
10
11
10
10
10
00
00
11
00
01
01
10
00
01
00
10
10
00
00
00
11
00
11
10
00
00
00
01
00
11
10
01
00
11
10
00
01
11
01
10
00
00
00
10
10
00
00
11
10
00
00
10
00
10
00
00
00
10
10
10
00
00
10
00
00
00
10
01
00
10
01
01
11
10
11
11
01
01
10
11
00
00
00
00
10
01
00
10
10
10
01
11
11
11
01
00
01
00
01
10
00
00
11
01
00
11
11
10
01
11
00
00
10
10
11
10
00
00
01
10
10
11
00
00
01
10
11
01
00
00
10
01
00
00
11
11
10
11
11
00
10
10
00
10
10
10
00
00
00
10
00
01
10
11
00
00
00
01
10
11
00
01
00
11
00
00
10
10
00
01
10
11
00
00
11
00
10
00
01
10
01
10
01
10
10
01
00
01
00
10
10
11
10
01
00
00
00
00
00
10
00
11
10
11
01
10
01
10
10
00
11
11
01
10
10
01
10
00
11
01
00
11
10
01
01
00
11
00
01
10
01
01
10
01
00
10
00
01
10
10
00
01
10
10
00
01
00
11
10
00
10
10
01
10
00
01
00
11
00
10
10
11
00
00
01
00
10
00
11
10
10
01
00
10
10
11
10
10
10
01
11
11
10
00
00
10
00
00
10
10
10
10
00
01
10
00
01
11
10
01
10
00
00
00
10
00
00
10
10
00
01
00
11
00
11
10
10
00
01
10
10
01
00
00
00
11
00
00
00
10
00
00
11
00
10
01
01
00
00
00
11
10
10
00
11
10
00
10
01
11
10
10
11
00
11
11
00
10
01
10
10
00
11
00
00
10
01
00
10
00
00
10
00
01
10
01
10
01
01
11
10
11
11
00
10
11
01
00
00
10
10
00
01
10
11
01
00
10
00
00
10
10
00
10
11
01
10
10
10
00
01
00
10
11
00
01
11
00
00
00
11
00
01
10
10
01
01
00
10
11
01
10
10
00
11
11
00
10
01
00
10
00
10
01
00
10
11
10
10
00
10
10
01
10
00
10
00
00
11
01
10
00
10
00
10
10
01
00
11
01
00
11
10
10
00
10
10
00
00
00
00
10
01
00
11
10
10
00
10
10
10
11
00
11
00
11
11
00
00
00
00
10
01
01
00
10
01
01
10
10
11
00
10
00
00
10
00
01
11
00
00
00
10
00
00
10
00
10
11
10
10
01
10
10
10
00
01
10
10
01
11
00
10
11
00
00
10
10
10
00
00
10
10
11
00
01
10
11
00
00
10
10
10
11
00
01
00
01
10
00
10
00
01
10
01
00
10
10
00
01
00
01
01
11
01
00
11
01
01
11
11
00
00
10
01
10
10
11
00
00
10
01
00
10
10
01
00
10
10
00
00
10
10
11
00
01
00
00
00
10
10
00
00
11
10
00
01
11
00
10
01
11
10
01
00
10
11
11
11
00
00
10
11
00
00
10
10
00
10
00
10
10
00
10
10
00
10
01
10
00
01
01
01
10
11
00
11
11
01
00
11
10
00
10
10
01
00
10
10
10
01
01
11
10
00
00
11
01
01
00
10
00
00
00
00
10
11
00
01
00
00
11
00
00
01
11
00
00
10
00
10
00
01
10
10
10
10
10
11
10
10
10
00
00
00
01
10
00
11
00
10
01
01
11
01
00
00
10
10
10
10
00
00
11
10
10
00
11
10
00
00
10
10
10
11
11
00
00
10
00
01
00
00
10
11
01
10
00
10
11
10
01
00
10
10
00
00
11
00
01
10
00
10
10
10
10
11
00
01
10
01
10
11
10
00
11
00
00
00
00
00
10
01
11
10
01
10
10
10
11
00
11
10
11
11
10
01
00
10
10
11
00
00
00
11
11
10
10
10
10
00
01
11
01
10
11
00
11
10
00
10
10
01
01
11
10
10
10
00
11
00
10
01
01
00
10
00
00
00
01
10
11
00
10
00
00
00
00
10
11
01
00
00
10
11
10
10
01
01
11
11
10
00
00
11
00
10
11
01
11
11
11
10
01
10
01
00
10
01
10
00
10
00
00
11
10
11
00
10
10
00
01
00
01
10
10
11
00
10
10
11
01
01
10
10
00
00
11
10
11
00
00
10
01
10
01
10
10
10
00
01
00
00
10
00
00
10
00
11
01
00
11
10
10
11
10
00
01
10
01
10
10
00
10
00
00
00
10
10
11
00
01
11
10
00
00
00
10
10
00
00
10
10
00
00
01
01
11
00
00
10
01
11
11
11
01
01
10
10
00
10
00
00
10
00
11
10
00
10
01
00
00
00
11
01
11
10
00
11
10
11
00
00
10
00
00
11
11
10
01
00
01
01
11
11
00
00
11
00
01
10
11
00
11
10
00
01
10
00
00
10
10
00
10
10
01
00
10
11
10
00
00
00
10
00
00
00
10
11
10
10
01
10
11
10
01
11
01
00
10
10
00
10
00
11
10
01
10
00
00
10
00
10
01
01
00
10
10
00
10
10
11
00
01
11
10
01
00
01
00
10
10
10
11
00
10
10
10
01
11
01
11
00
00
00
00
00
10
10
00
11
11
01
01
11
00
01
10
01
10
11
00
01
10
10
11
00
00
10
00
00
10
10
00
00
10
11
10
01
00
01
00
10
11
01
00
10
10
00
10
01
10
10
10
01
00
00
10
01
00
00
00
10
00
00
00
10
11
01
01
01
00
11
11
00
10
10
00
01
10
10
10
11
11
11
00
10
00
10
10
00
00
11
11
00
10
10
10
10
10
01
00
11
10
11
00
00
00
11
10
11
01
00
11
10
00
10
00
11
10
00
01
01
11
10
10
01
10
00
10
10
00
00
10
10
11
11
10
11
10
01
10
00
00
10
10
00
01
10
10
10
01
10
00
00
10
10
11
10
10
11
11
01
00
00
10
01
10
01
01
10
00
00
10
00
10
10
01
01
10
10
01
11
01
10
01
11
10
01
01
00
10
00
01
10
10
00
00
10
10
00
01
00
00
01
10
11
00
10
10
00
10
01
11
10
11
00
00
00
10
10
11
10
01
10
01
01
00
10
11
10
00
10
10
00
00
10
01
00
00
10
01
00
00
00
00
10
10
01
10
01
00
10
00
00
10
01
10
11
10
00
00
10
10
00
10
00
00
01
11
10
11
10
00
01
11
11
00
11
10
00
00
01
10
00
10
10
00
00
01
00
11
10
00
10
10
00
10
10
00
00
10
00
10
11
00
10
10
11
01
10
00
01
10
01
00
11
01
10
01
01
10
01
11
11
00
00
10
10
01
01
10
10
00
11
11
00
01
00
11
00
00
10
10
00
10
01
00
11
00
10
01
10
01
10
00
10
10
00
11
00
01
10
01
00
00
11
00
10
01
10
11
10
00
01
00
11
11
10
00
00
11
00
10
11
01
10
10
00
01
10
00
00
10
10
11
10
00
00
10
10
11
10
00
01
00
10
10
10
00
11
11
10
00
00
11
00
10
00
01
10
00
01
10
00
10
01
11
10
00
10
00
00
00
01
00
10
11
11
10
10
10
10
10
00
00
10
11
11
10
01
11
10
01
00
11
10
11
00
00
11
01
11
01
10
10
10
10
01
00
10
11
10
00
10
10
01
01
10
00
00
00
10
00
11
10
11
11
00
11
11
11
01
00
11
11
00
00
00
10
01
00
10
10
10
10
01
01
10
11
11
11
11
11
01
00
00
10
10
00
10
10
00
01
10
00
10
01
10
10
10
10
00
11
01
10
11
10
10
01
00
10
11
00
00
01
10
00
10
10
10
00
00
00
00
10
11
01
10
11
10
00
00
00
10
00
10
10
01
00
00
10
00
01
11
10
00
10
10
00
00
10
11
10
10
00
01
00
11
01
00
11
01
00
11
00
00
11
10
00
01
10
00
10
00
10
10
01
01
01
00
10
00
00
10
11
01
00
00
10
10
00
10
01
00
00
11
10
00
01
10
10
11
11
00
00
10
01
00
00
10
10
00
11
10
10
01
10
11
00
00
10
01
00
10
01
00
01
11
10
11
10
01
00
00
10
10
01
00
00
10
11
11
11
00
00
10
10
11
01
00
10
00
00
00
01
11
11
11
10
11
00
11
10
10
01
01
11
10
00
01
00
10
00
00
10
00
10
10
01
01
10
11
11
10
11
00
10
11
11
00
00
01
11
10
11
10
01
01
10
00
10
10
11
10
00
10
01
00
10
00
10
00
01
11
00
11
00
01
11
00
11
10
11
00
00
11
10
10
00
10
00
10
11
00
11
00
00
10
10
10
10
00
01
01
10
10
11
00
01
01
01
00
10
11
00
00
11
10
00
10
11
10
00
00
00
01
11
10
01
11
10
00
10
10
00
10
10
11
01
01
00
11
10
00
01
01
10
10
00
00
00
10
11
00
00
11
00
11
01
00
01
01
11
01
00
11
10
00
01
10
10
01
01
00
11
10
00
10
00
10
00
10
10
00
10
10
10
11
00
10
00
01
10
10
10
10
11
00
01
00
11
00
00
10
10
11
01
00
10
00
00
01
10
10
00
10
01
10
00
01
10
00
00
10
10
01
00
00
10
10
10
11
00
10
00
00
10
00
00
00
01
11
00
10
00
10
10
00
00
00
10
00
00
10
00
00
10
01
01
11
11
00
10
10
00
00
01
00
10
11
10
01
00
10
00
01
10
11
01
00
00
10
00
00
10
10
01
01
00
10
10
11
11
10
00
01
10
10
11
01
10
11
01
10
11
00
01
00
00
10
10
11
00
00
01
10
10
10
10
00
00
11
11
00
10
10
01
10
10
00
00
11
10
00
10
11
11
10
00
10
00
01
10
11
00
00
10
10
00
01
11
10
10
00
01
10
10
11
10
11
01
00
00
10
00
10
00
00
00
00
01
10
11
11
11
01
10
10
10
10
10
11
00
00
00
00
10
01
10
10
10
00
10
00
11
00
10
00
01
11
01
01
11
10
01
00
01
11
00
00
10
10
00
01
10
11
01
10
10
10
00
01
11
00
00
00
00
01
11
11
10
01
11
00
10
10
00
10
10
01
00
10
11
10
10
00
00
01
11
00
10
11
11
00
11
10
00
11
10
10
00
10
10
10
00
00
11
11
00
10
00
00
10
01
00
11
01
00
10
01
01
00
10
10
00
01
10
11
00
10
00
10
01
00
11
11
00
10
10
10
01
00
11
01
10
10
11
01
00
10
10
11
10
01
00
10
11
00
10
00
00
01
10
00
01
10
11
01
00
10
11
00
01
00
00
10
10
00
10
10
01
10
01
10
11
01
11
00
00
10
00
10
10
00
01
11
10
01
10
10
10
10
10
10
11
00
00
11
00
00
11
00
10
00
00
10
11
00
00
00
10
10
01
11
01
11
11
11
00
10
00
01
10
11
10
00
00
00
10
11
00
11
10
00
11
10
11
01
00
10
00
00
10
11
01
01
00
11
10
00
11
11
00
00
10
01
00
11
00
00
10
10
00
10
10
11
10
00
00
00
00
11
01
00
00
10
10
00
11
10
00
10
00
11
01
10
00
01
00
01
01
10
00
00
10
10
10
00
00
11
11
10
00
11
01
10
10
10
00
10
10
00
10
11
10
00
11
00
00
00
00
11
11
11
10
00
00
11
01
10
10
01
00
10
10
00
00
11
01
10
10
00
00
00
00
10
10
10
10
00
00
10
10
01
10
00
11
10
01
00
10
10
10
01
10
00
00
01
10
11
10
01
01
00
01
10
00
00
11
10
10
00
00
00
10
01
01
11
10
01
00
00
01
10
10
00
00
10
10
11
10
00
01
11
00
01
00
10
01
11
01
10
11
00
10
01
00
11
10
00
00
00
00
01
10
10
01
10
00
00
01
11
00
01
11
11
10
10
00
10
10
01
00
10
00
01
00
01
11
01
11
01
10
10
10
00
10
11
01
10
10
10
10
10
10
00
00
10
10
11
10
10
10
10
10
01
00
10
11
11
11
01
00
00
10
10
10
11
11
10
00
11
10
00
10
00
00
10
10
00
10
00
01
10
01
10
11
00
10
00
10
00
01
11
00
11
01
00
01
11
11
11
00
00
10
01
11
00
01
10
11
10
01
00
00
11
10
10
00
00
10
10
00
01
10
10
10
11
00
11
00
00
11
10
11
11
00
00
00
10
11
00
00
10
00
10
00
10
10
10
10
11
10
10
00
10
10
10
10
01
00
10
00
00
01
01
10
11
00
10
10
00
11
00
01
10
10
10
00
10
01
11
10
00
00
00
11
10
00
00
00
11
10
01
10
11
00
11
00
00
00
10
00
11
10
00
00
10
00
10
10
01
00
00
10
01
00
11
01
10
11
11
10
01
11
00
10
11
00
00
10
10
10
00
01
00
01
10
11
11
10
10
10
00
01
10
11
00
11
10
00
00
10
00
00
01
00
01
01
11
00
00
10
11
01
10
11
00
00
00
11
10
00
11
01
00
10
10
10
11
10
00
10
01
00
11
10
01
11
01
11
00
00
11
10
10
00
00
01
10
10
01
00
00
10
11
10
10
00
11
10
00
11
10
00
10
11
00
00
10
10
10
10
01
00
10
01
00
00
00
11
10
01
01
00
10
01
00
10
10
00
11
11
01
10
00
01
00
00
11
00
00
10
00
10
10
01
10
11
00
10
10
00
10
00
00
10
11
00
00
10
00
00
11
10
10
01
01
10
00
00
10
00
00
00
00
10
11
00
10
11
10
01
11
10
00
00
00
01
00
11
00
01
11
01
00
01
10
10
10
00
11
11
10
01
10
10
01
00
00
10
01
01
01
10
10
00
01
01
00
10
10
11
10
10
00
01
00
00
00
10
10
10
10
00
10
00
00
00
10
10
01
10
00
11
00
01
11
10
00
10
11
01
11
11
10
10
11
10
01
00
00
10
10
11
00
11
01
11
10
11
10
10
01
10
11
00
00
00
00
10
10
10
01
10
10
00
11
10
10
00
00
00
00
10
10
00
10
11
10
10
10
10
01
01
00
00
11
10
10
10
00
00
00
11
10
10
00
00
00
00
11
10
01
00
10
11
00
10
10
10
00
10
11
00
11
10
01
10
00
10
10
11
00
10
11
00
10
10
01
00
10
10
10
00
01
00
00
00
11
10
10
00
11
10
01
01
00
10
01
10
00
11
10
00
00
00
10
00
11
10
01
01
00
11
00
11
11
11
00
00
10
11
00
01
10
01
01
10
11
10
10
11
10
01
00
11
00
01
10
11
11
00
00
10
01
11
00
00
00
10
10
00
11
01
01
00
10
01
10
00
00
10
00
00
01
10
10
00
10
10
01
00
10
10
00
00
11
10
01
11
11
10
01
01
00
10
10
01
00
00
11
00
01
10
10
11
11
00
00
11
11
01
10
11
11
01
10
00
00
00
11
11
10
10
00
10
00
00
00
01
10
10
00
00
01
10
10
11
10
00
00
01
00
10
10
10
10
01
00
11
10
11
00
01
00
00
10
01
01
10
11
10
00
00
10
10
10
00
00
00
00
01
10
10
00
00
10
11
10
00
10
00
00
01
11
10
10
01
00
10
10
01
11
11
01
11
01
10
01
11
01
00
11
10
00
00
10
10
01
01
10
00
00
00
11
10
10
10
10
01
11
10
10
01
01
10
01
00
10
10
11
11
11
10
00
00
00
00
10
00
01
10
00
10
00
10
00
01
10
10
10
00
10
00
11
11
00
10
00
00
10
01
10
00
11
01
00
10
01
10
11
00
00
10
00
01
10
01
00
00
10
01
11
00
00
00
01
01
00
11
10
00
00
00
00
11
01
01
01
00
11
10
00
01
00
10
11
11
00
00
10
10
11
00
11
10
01
10
00
00
01
10
10
11
00
00
01
10
11
01
01
01
10
00
00
10
10
11
00
00
01
00
01
10
00
10
00
11
10
01
10
01
11
00
00
10
00
10
00
00
00
11
11
11
10
00
00
00
10
01
00
00
10
00
10
00
01
10
00
01
00
00
01
01
10
01
00
11
01
00
11
01
01
10
11
00
00
01
10
11
00
01
10
10
11
00
10
11
10
00
01
11
00
00
10
10
00
01
11
10
10
10
11
00
10
00
00
10
01
11
10
01
01
00
10
10
01
10
10
00
10
00
00
10
00
00
11
00
10
10
10
00
00
01
10
00
01
01
11
10
10
10
00
00
00
11
10
00
11
10
00
00
11
10
00
01
10
11
00
00
00
10
10
10
01
01
00
00
10
10
00
10
00
00
01
00
01
11
10
11
10
11
10
11
00
00
10
10
00
00
00
10
10
00
00
11
10
00
01
10
00
00
01
10
00
10
11
10
11
00
00
00
10
11
10
00
10
01
00
00
00
11
00
10
00
01
10
10
10
00
00
00
00
00
00
10
10
11
10
00
01
11
11
00
10
10
00
00
10
11
10
00
01
00
11
01
00
10
00
11
00
00
10
10
01
00
11
01
00
00
11
10
10
00
00
11
11
00
00
00
00
10
01
10
01
00
10
10
01
11
11
10
11
00
00
00
01
10
11
00
11
00
01
01
11
10
10
00
10
00
00
01
00
10
00
00
00
01
11
00
01
10
01
01
10
00
01
10
10
10
00
00
10
00
11
10
10
00
00
10
00
00
10
10
00
11
11
00
01
11
10
11
10
01
10
10
00
01
01
10
10
01
00
00
11
01
00
11
11
10
00
00
10
00
00
01
11
00
01
10
10
10
11
01
00
00
01
10
10
10
00
10
10
01
11
00
01
00
01
00
01
11
00
10
11
10
00
11
10
11
01
10
00
11
10
01
01
10
11
10
10
00
10
10
01
00
10
10
01
00
01
01
11
10
10
01
10
00
01
10
11
00
00
00
10
11
01
00
11
00
01
11
11
00
10
11
00
11
11
00
01
01
10
10
00
00
00
10
10
10
00
11
10
01
10
10
01
10
00
10
10
00
00
00
10
10
01
00
11
10
10
00
00
00
10
10
10
10
00
00
10
00
00
10
11
11
11
00
00
10
11
00
01
00
11
11
01
11
11
10
00
00
10
10
00
00
01
00
10
11
10
11
00
10
11
10
11
00
10
10
00
00
10
01
01
01
00
11
00
11
11
01
10
11
10
01
10
11
00
01
10
10
11
10
10
00
10
10
00
11
00
00
10
10
10
10
10
00
00
10
00
10
00
10
00
01
01
11
00
01
10
10
10
00
00
11
11
00
00
01
10
01
00
00
01
10
10
00
00
10
11
00
11
10
10
00
10
00
10
01
00
10
10
00
10
11
00
11
00
11
10
10
00
00
00
10
10
01
10
11
10
01
11
11
00
01
00
10
00
00
00
00
00
10
10
11
00
00
10
00
11
10
00
00
11
10
10
00
10
10
00
10
11
11
10
10
00
01
01
10
01
00
00
10
10
00
00
10
11
10
00
10
00
11
00
00
10
11
01
10
01
01
01
00
00
00
00
10
10
11
00
10
10
10
01
10
00
00
01
00
00
00
10
00
10
10
11
00
01
00
00
10
00
10
10
10
01
10
10
00
10
10
00
01
10
10
00
00
00
00
10
10
00
01
11
11
01
11
00
00
11
00
01
10
11
00
00
10
00
11
10
01
00
00
10
10
00
00
11
10
01
00
00
01
00
10
11
10
00
00
01
10
10
00
11
00
00
10
01
01
01
10
11
00
00
00
11
10
00
00
10
11
11
01
10
11
00
11
10
10
10
00
00
10
00
00
01
11
00
00
10
10
01
01
10
00
00
01
01
11
10
00
00
00
00
10
00
00
00
10
00
10
10
10
10
10
00
00
00
11
10
00
11
10
01
00
10
01
00
00
10
00
00
01
00
00
11
00
11
11
10
00
00
01
10
10
00
10
11
10
11
01
11
10
10
10
10
10
01
00
10
00
10
10
00
01
01
00
11
11
01
01
00
01
01
01
01
10
10
00
01
10
00
01
10
01
11
11
10
11
00
10
11
00
00
10
10
01
01
01
10
00
10
10
10
01
11
11
10
11
11
10
11
00
00
11
10
00
11
11
00
00
00
11
10
01
11
10
10
00
01
00
01
10
10
00
01
10
00
10
10
10
00
00
10
10
00
00
01
10
01
11
00
10
10
00
10
10
00
00
11
00
10
01
11
00
10
00
10
10
00
11
00
11
00
11
00
00
10
10
00
10
00
01
11
10
00
00
00
11
00
10
10
00
01
10
01
01
01
00
10
01
10
11
00
11
00
01
11
10
01
10
00
00
00
00
10
11
00
10
10
11
01
00
01
00
11
10
00
10
11
10
00
10
10
11
01
01
01
00
11
01
10
10
00
01
11
10
00
10
11
10
01
01
00
00
10
10
01
00
10
00
00
00
00
01
10
00
11
10
00
10
11
01
10
11
11
10
00
10
10
00
10
11
01
00
10
11
00
00
11
10
10
11
01
00
11
00
00
10
10
00
00
11
10
11
00
00
00
10
00
00
10
10
00
11
00
10
01
00
00
11
10
00
00
11
11
11
10
01
10
10
10
10
10
10
10
00
00
01
10
11
00
10
10
00
10
11
11
10
01
10
01
11
01
11
00
10
10
10
10
00
00
10
11
00
00
11
10
00
00
11
00
10
10
00
10
10
10
11
11
00
01
11
01
10
11
11
00
00
10
00
10
10
00
01
10
10
11
00
00
00
00
10
10
00
10
00
00
11
11
11
10
01
00
00
10
00
01
00
00
11
00
10
01
01
10
10
00
00
11
11
10
10
11
10
10
01
00
10
11
00
00
11
01
00
11
00
11
10
00
00
00
01
10
01
00
01
00
00
11
10
01
10
10
01
10
01
01
10
10
01
10
00
10
11
01
01
00
01
10
10
01
10
10
10
11
01
10
10
01
10
01
00
10
01
01
10
00
10
00
10
10
11
10
10
01
10
10
01
01
10
10
00
00
10
10
00
10
10
10
11
10
10
00
00
00
11
11
10
01
00
10
10
00
01
10
11
11
10
00
10
01
00
10
11
10
10
11
10
00
10
01
00
10
00
01
10
11
10
11
10
11
10
00
01
11
10
10
11
01
11
01
10
00
00
00
01
10
10
01
00
00
11
01
10
11
00
01
10
01
10
10
10
00
00
10
10
01
10
11
11
00
10
10
10
10
11
00
00
00
00
00
00
10
10
10
10
11
00
10
01
10
00
01
10
00
00
10
11
10
10
10
00
10
11
00
00
00
01
01
10
01
10
10
01
10
11
00
11
00
00
11
10
00
00
10
00
00
00
11
00
00
01
01
00
10
01
10
01
11
10
00
10
00
11
01
10
10
01
00
10
10
00
01
10
00
01
00
10
00
01
11
00
10
10
10
01
11
00
01
10
00
01
11
00
00
10
10
11
11
00
00
11
10
10
01
00
10
00
00
10
01
10
10
00
01
10
10
11
00
00
01
10
10
10
10
00
11
01
11
01
11
00
01
00
00
00
11
10
00
10
11
00
00
00
11
10
01
11
00
00
10
00
10
00
01
11
10
11
00
00
00
00
10
11
00
11
00
10
00
01
00
10
11
10
11
00
01
10
00
01
10
11
00
00
10
00
00
01
00
11
10
10
10
00
10
11
01
10
10
10
11
11
00
00
00
10
11
10
00
00
00
10
00
10
00
01
10
00
10
11
10
11
10
01
10
00
11
01
11
10
10
01
11
10
00
00
10
11
01
11
10
00
00
10
10
11
01
01
00
01
10
00
00
10
11
10
01
00
10
10
00
10
11
10
00
11
10
10
01
00
00
10
10
11
10
00
00
11
00
01
11
10
10
00
00
00
00
01
10
11
00
11
01
10
10
10
00
01
11
10
00
10
10
00
01
01
10
11
00
00
00
10
11
00
10
01
00
10
10
10
10
00
00
10
00
00
10
00
01
00
10
10
10
01
10
10
00
00
10
10
10
00
10
11
11
00
01
10
11
10
10
00
10
11
01
11
10
10
10
10
10
10
00
00
11
00
11
11
10
01
00
01
00
00
10
01
01
11
10
00
10
11
10
00
01
10
11
01
10
00
10
00
00
00
01
00
10
11
10
11
11
10
01
11
10
10
01
10
10
00
00
00
10
11
10
01
00
10
01
01
10
00
00
11
01
11
00
11
10
00
10
00
10
11
01
01
00
00
00
00
11
11
00
00
10
10
11
11
10
01
00
10
10
10
10
00
00
10
10
11
01
00
11
11
00
00
10
00
10
01
11
10
01
10
11
10
10
00
01
10
00
00
10
10
01
01
10
10
00
00
11
10
00
10
10
10
00
01
10
10
01
01
01
01
00
11
10
00
00
01
11
10
00
00
11
00
01
00
10
01
00
01
01
10
00
00
01
00
01
10
01
11
10
10
10
10
01
10
11
01
00
01
00
01
00
10
10
00
11
10
01
10
10
10
11
10
10
10
10
00
10
11
01
01
00
11
10
00
01
00
00
10
10
00
11
10
00
11
10
11
01
01
01
10
00
10
00
01
10
10
00
00
10
10
00
10
01
00
00
10
00
11
10
11
01
10
11
10
00
00
11
10
01
00
10
00
01
00
10
01
00
10
00
10
10
10
10
01
00
10
11
00
00
00
10
01
10
00
10
10
00
10
11
01
00
00
00
00
01
01
00
11
00
10
10
11
00
10
00
11
00
10
10
01
10
10
00
10
10
00
10
11
11
11
10
10
00
11
00
00
10
11
01
10
10
01
10
11
11
00
10
11
00
00
10
10
11
11
00
00
00
10
01
10
10
01
01
10
00
00
11
10
11
10
10
00
00
10
01
00
10
00
00
00
10
00
00
10
11
10
01
00
11
10
10
11
10
10
00
10
11
11
01
00
10
11
00
00
01
01
10
10
00
00
11
11
01
00
10
11
10
00
01
11
10
10
10
11
10
10
00
01
11
00
10
01
10
01
00
01
10
11
10
00
01
11
00
00
10
11
00
01
00
10
10
00
11
00
01
10
10
10
10
00
00
00
11
10
11
10
01
11
11
10
00
10
10
10
00
10
11
00
01
10
00
00
10
00
00
00
10
01
10
10
00
11
10
00
10
10
11
01
00
00
00
01
01
10
11
00
11
10
01
10
01
01
00
01
11
00
00
10
11
11
00
01
10
01
10
11
01
00
10
10
01
01
11
11
11
10
10
11
01
01
10
10
00
00
11
11
00
00
10
11
10
00
10
10
01
00
01
00
00
10
10
00
00
10
11
01
10
11
00
01
01
00
10
11
11
11
00
01
11
10
11
00
01
11
10
00
00
00
11
00
01
00
10
10
11
10
01
10
11
00
00
11
00
10
10
00
01
00
01
10
01
10
10
11
01
00
10
00
00
00
01
01
10
10
00
01
00
10
11
10
11
11
10
00
01
01
10
11
00
10
10
10
00
00
10
10
00
10
11
10
00
10
00
00
10
00
00
11
10
00
00
00
10
11
00
00
00
10
00
10
00
11
00
01
00
10
11
00
01
00
00
10
01
11
11
11
00
00
00
10
11
01
01
10
00
00
00
10
10
00
00
10
00
11
01
10
10
00
10
00
00
10
10
00
00
10
11
00
00
00
11
00
01
11
11
10
10
10
00
10
10
00
01
10
00
01
10
10
01
11
10
01
00
01
11
00
01
00
11
10
11
00
10
00
00
00
10
00
00
10
00
00
10
11
10
11
00
00
00
00
10
11
10
00
10
10
00
01
01
00
10
00
00
10
10
00
10
10
00
00
01
00
00
10
00
10
10
10
10
00
00
01
10
11
10
10
00
10
01
10
00
00
00
00
01
00
11
00
01
11
01
01
00
11
11
00
11
00
00
10
11
11
01
11
10
00
00
01
00
01
10
11
01
00
01
11
10
01
01
10
01
00
11
00
10
10
00
00
00
01
00
11
11
10
10
10
01
10
11
00
10
00
01
10
10
00
00
10
00
11
10
01
00
10
10
10
01
10
01
11
11
10
10
10
00
00
10
10
00
10
10
10
00
00
00
10
01
01
01
11
00
10
10
01
00
10
10
00
11
11
10
10
01
00
10
01
11
11
10
10
00
11
10
00
01
10
11
00
10
10
10
01
00
10
11
10
10
10
10
00
10
10
00
00
11
11
10
00
01
11
00
11
10
10
00
01
11
10
01
01
10
10
10
00
01
10
10
00
00
10
00
11
00
00
00
11
10
11
00
10
10
10
00
00
10
00
01
11
11
10
01
10
10
10
10
01
00
00
10
10
01
10
01
11
01
00
00
00
10
00
00
01
10
11
11
00
10
01
11
11
11
01
01
10
11
10
00
00
11
10
00
11
00
01
10
01
00
01
00
01
01
10
10
10
00
00
00
11
10
01
10
10
10
01
01
10
00
00
11
10
01
01
01
10
11
10
01
11
00
00
11
10
00
00
10
10
10
00
01
10
00
00
00
00
11
10
10
10
10
00
10
11
01
10
10
00
01
01
10
01
10
11
00
11
11
10
11
01
11
11
00
00
00
01
10
01
01
10
10
01
00
00
00
10
11
01
01
10
10
10
00
11
01
10
11
00
10
11
01
00
10
10
01
10
10
00
10
10
00
10
00
00
01
00
10
10
10
10
00
10
00
00
10
01
10
00
11
00
10
00
10
11
00
00
10
10
00
00
00
00
10
10
00
00
10
11
10
10
10
00
11
01
10
00
10
11
10
00
00
10
00
00
00
10
01
10
01
10
10
00
00
10
00
11
10
00
10
10
10
10
00
00
01
00
00
11
10
11
00
00
10
00
00
10
10
01
10
10
00
10
11
00
10
10
00
10
10
00
11
00
00
10
00
10
10
01
10
00
01
10
10
00
10
11
10
00
00
01
01
10
11
01
11
10
10
11
01
10
00
00
10
10
01
11
11
01
00
00
00
01
00
10
10
00
11
00
01
11
01
01
00
11
00
01
10
00
00
11
00
00
00
10
00
01
00
10
11
10
10
00
01
00
10
00
00
10
10
10
00
10
10
01
00
01
00
01
00
11
01
01
00
10
10
00
10
11
00
11
01
10
00
00
11
01
00
11
00
00
11
00
11
00
00
10
10
00
10
01
01
11
01
00
10
11
10
11
00
00
01
01
11
11
10
01
10
11
11
11
10
10
00
00
00
01
10
11
00
01
11
10
01
11
10
10
10
00
00
01
11
11
00
00
00
10
10
00
00
10
10
00
00
10
00
10
01
00
01
11
10
11
00
11
10
10
10
10
01
01
10
00
00
01
00
11
00
00
01
10
00
00
11
10
00
01
01
10
10
10
11
10
11
01
00
01
11
10
10
10
00
10
11
01
10
01
00
11
11
10
01
10
00
01
00
00
10
11
00
10
10
10
11
00
01
01
10
10
00
11
10
11
10
00
00
10
00
10
00
10
00
01
01
10
11
00
00
10
00
11
01
10
11
00
10
00
10
00
00
01
10
10
01
10
11
10
00
00
11
00
00
11
00
01
10
01
00
01
10
10
10
01
11
10
00
00
00
00
00
10
10
00
00
00
00
10
01
10
11
00
10
00
10
10
00
00
00
11
11
11
01
00
10
11
00
11
10
00
00
11
10
01
00
00
01
10
11
10
01
10
00
00
00
00
00
10
10
00
01
10
10
00
00
10
10
10
00
00
10
00
10
01
01
01
11
10
11
00
10
00
11
11
00
11
10
01
00
10
00
10
10
00
10
00
00
10
11
00
10
10
10
10
01
01
11
10
01
01
11
00
11
00
01
01
10
01
01
00
10
10
10
10
00
11
01
00
10
11
00
01
01
10
00
00
10
00
00
11
10
10
10
01
01
01
01
11
10
00
01
00
10
10
00
00
00
10
10
01
00
11
11
10
10
00
11
11
00
01
01
10
01
10
11
10
01
00
00
11
10
00
01
00
10
10
10
01
00
11
10
10
01
00
01
00
11
00
10
10
01
10
01
10
11
01
01
01
10
10
00
00
11
00
11
11
10
10
00
00
11
10
01
10
10
00
00
10
10
10
10
11
00
00
10
10
00
00
00
10
00
10
00
00
00
01
00
00
10
11
10
10
11
10
10
10
10
11
10
11
00
01
00
00
01
11
01
00
10
01
00
10
11
11
01
10
01
00
10
00
11
00
00
10
10
10
10
00
10
00
00
10
00
11
11
00
11
01
00
10
00
10
11
00
00
10
11
00
01
00
01
00
01
01
11
11
11
10
01
10
10
11
11
00
00
10
11
10
10
10
11
00
00
00
00
00
10
00
10
10
10
10
11
00
11
10
00
01
10
01
00
00
10
00
00
10
00
00
10
11
11
11
01
10
00
00
00
10
10
10
00
01
10
10
01
11
10
00
11
01
10
01
11
01
01
10
01
00
00
10
00
00
10
00
00
00
10
10
11
10
10
10
00
11
11
00
00
10
11
00
10
00
00
00
01
10
10
00
00
00
00
11
10
11
11
00
11
01
10
10
11
00
00
10
10
01
00
01
00
00
00
11
10
00
11
10
11
00
00
10
10
10
11
00
00
00
11
10
10
00
00
10
00
10
00
00
10
00
01
00
10
00
10
00
00
10
10
00
01
11
10
00
00
01
10
10
00
10
10
10
11
01
10
00
10
01
00
10
11
11
00
00
01
10
10
10
01
10
00
10
01
10
11
00
00
01
10
01
11
10
01
01
11
01
10
01
10
10
11
01
11
01
00
10
00
10
01
11
11
00
10
00
10
10
10
01
10
00
10
01
01
11
10
10
01
11
10
01
00
10
10
01
00
10
00
00
01
00
10
00
00
10
00
11
11
00
01
10
10
10
00
01
00
00
11
10
11
10
11
01
01
11
00
00
01
01
10
10
01
00
00
00
00
11
11
01
11
00
00
10
10
00
00
11
10
10
10
00
00
11
10
11
00
10
11
01
00
10
10
00
11
10
00
00
10
11
00
11
00
11
10
00
10
11
00
01
10
11
11
00
00
01
00
11
10
00
10
00
00
00
00
10
00
10
10
00
00
01
10
11
00
10
00
00
10
00
01
10
10
00
11
01
00
00
00
10
00
00
00
10
00
00
01
01
10
10
10
01
10
00
00
11
10
10
00
01
00
00
10
11
00
01
11
00
11
10
01
00
01
00
10
00
00
00
10
10
01
10
01
00
10
11
00
10
11
00
11
10
10
10
10
10
00
01
10
00
00
01
11
01
00
01
00
10
00
00
10
10
10
00
10
01
10
01
00
00
01
00
10
01
10
11
10
11
10
00
00
11
11
10
10
00
00
00
11
10
10
00
00
01
10
00
01
11
10
01
11
10
10
00
00
11
11
01
01
10
10
10
10
00
10
11
01
01
10
11
01
10
10
00
10
10
10
00
01
10
00
00
00
00
00
10
01
10
10
00
01
01
00
01
10
10
00
00
00
10
10
10
11
01
10
10
00
01
10
10
00
00
10
00
00
10
01
10
10
01
10
10
10
10
00
01
10
01
00
10
11
10
10
00
00
10
10
10
01
00
00
10
00
00
00
11
10
10
00
00
11
10
00
00
10
00
10
01
10
10
10
00
00
00
00
10
10
00
00
00
11
10
00
10
01
10
00
10
00
10
11
00
10
00
10
11
01
00
10
10
11
00
01
10
01
10
01
11
10
00
00
10
10
10
00
01
11
11
11
11
01
10
10
01
00
10
10
10
00
10
10
00
01
10
01
10
00
00
10
00
00
11
10
01
00
10
11
10
00
00
10
11
01
10
10
10
00
11
00
01
10
10
11
10
10
01
11
01
01
00
00
11
10
01
00
10
10
11
01
01
10
01
00
00
00
11
10
00
01
10
01
00
01
10
11
01
10
11
00
00
01
00
10
01
11
00
10
10
00
00
00
11
10
00
10
00
00
01
11
00
11
01
00
11
00
01
11
01
00
10
00
00
00
10
10
00
11
00
10
10
01
01
11
01
01
00
10
00
10
00
00
10
10
01
10
11
01
00
11
11
01
10
11
00
00
01
11
10
01
10
10
01
10
00
11
11
11
10
01
10
01
10
10
00
00
00
11
10
11
10
11
00
00
11
11
01
10
01
00
00
11
11
01
11
10
00
01
00
11
00
10
11
11
00
01
00
10
11
10
11
11
00
00
01
00
01
10
10
10
00
00
01
10
11
10
11
01
00
11
11
00
00
10
10
01
11
10
00
10
10
10
00
00
10
00
10
10
00
10
00
11
11
10
10
10
10
10
00
00
10
10
01
11
01
10
00
00
11
01
00
10
01
00
00
11
10
01
10
00
01
10
11
10
10
00
10
11
10
11
00
10
10
01
00
10
11
01
00
10
00
00
00
01
10
11
00
00
11
10
00
00
10
00
01
00
11
10
00
11
00
00
11
10
01
10
00
00
10
10
11
00
01
00
10
10
00
00
11
10
00
10
01
00
01
00
00
01
10
00
00
00
10
00
10
10
10
10
10
00
10
10
00
00
00
00
10
11
00
10
10
10
00
10
01
10
01
11
00
00
11
00
10
01
00
00
01
10
01
11
10
01
01
10
00
10
01
11
11
01
10
10
00
00
00
00
10
10
10
01
10
10
00
10
11
11
10
01
10
10
10
01
00
10
00
01
00
01
11
11
10
10
00
00
00
10
11
00
11
00
01
10
01
10
00
00
10
10
00
01
10
11
00
10
11
00
00
01
10
10
01
00
10
10
01
00
10
00
00
10
11
01
00
00
10
10
00
00
10
10
10
00
00
11
01
10
10
10
00
00
10
11
00
11
10
10
00
10
10
11
01
10
01
11
10
01
10
11
00
00
11
10
00
00
10
00
10
11
01
10
11
11
00
10
00
00
10
00
00
11
10
00
00
10
00
10
00
00
01
11
10
10
01
10
00
10
10
00
11
10
11
11
01
10
11
00
01
00
10
10
00
00
11
10
00
01
10
10
11
00
00
10
10
01
00
11
00
10
10
10
10
00
10
11
01
00
10
10
11
00
11
10
00
10
10
11
00
10
10
00
10
10
10
01
00
00
10
00
00
00
00
11
00
00
10
01
11
10
10
00
00
10
10
01
00
10
00
11
11
10
11
01
00
01
00
00
00
10
11
00
00
10
00
11
00
01
01
00
00
10
10
11
10
00
10
00
00
00
01
10
11
00
01
10
00
01
10
10
01
00
11
00
00
10
11
00
10
00
00
00
00
01
00
11
10
11
00
10
11
00
00
10
00
11
00
10
00
10
10
00
10
11
00
00
10
00
00
11
10
01
01
00
11
10
11
00
10
00
11
10
01
00
00
11
00
11
10
10
11
10
00
01
10
11
10
01
00
10
00
01
10
00
01
10
00
11
10
10
01
00
11
00
00
00
11
00
01
00
00
11
11
00
10
00
00
00
10
11
10
10
00
00
00
11
10
11
10
10
00
00
10
11
10
00
00
11
00
10
01
10
00
11
11
10
10
01
11
01
00
11
00
10
00
10
00
00
01
00
10
00
10
10
01
11
11
00
00
11
00
11
10
00
00
00
00
10
10
01
00
11
01
01
00
11
01
10
11
00
11
00
00
11
00
01
00
11
11
10
10
10
00
00
01
00
11
00
00
00
01
10
10
01
01
10
01
11
00
10
00
01
01
10
10
01
11
11
00
00
00
10
10
00
00
10
10
00
00
00
10
00
00
10
10
00
00
10
00
10
11
01
01
00
01
10
11
00
10
01
00
10
11
00
00
01
10
10
11
00
00
00
00
10
10
00
10
00
00
01
11
11
10
00
00
10
01
01
10
01
00
10
11
10
00
01
00
10
10
01
01
01
11
11
10
00
01
10
10
00
00
10
10
00
00
00
10
00
11
11
11
00
01
10
10
00
11
10
00
10
10
00
00
10
00
01
10
00
01
11
10
00
11
00
01
10
00
00
01
11
10
00
10
00
01
10
11
10
10
01
00
00
10
10
10
10
01
00
10
00
10
01
01
10
10
10
00
11
11
01
10
10
10
00
00
00
01
10
10
00
00
10
10
00
10
11
00
10
01
11
00
11
10
01
01
10
00
00
10
10
00
01
10
10
10
00
10
00
00
10
10
00
10
01
11
10
10
10
00
10
10
01
10
11
01
11
10
01
11
11
11
01
01
11
10
01
00
10
11
10
11
00
10
10
10
00
00
00
11
00
00
00
11
10
11
00
10
10
10
01
01
00
10
00
10
10
01
00
11
10
10
10
01
00
11
10
01
01
10
01
10
10
00
00
11
00
11
11
11
00
10
10
00
01
01
00
10
10
01
10
10
00
01
00
00
00
10
10
10
01
11
10
00
10
00
10
10
10
01
00
00
10
00
11
10
11
01
01
01
10
00
01
11
11
11
00
10
10
11
00
00
11
00
00
11
00
11
01
10
01
10
01
00
00
10
11
01
11
11
01
00
11
10
00
00
10
11
00
00
00
11
00
00
01
10
00
10
00
10
00
11
10
10
10
00
10
10
10
00
10
00
01
10
10
01
11
10
10
00
00
10
00
10
10
10
10
00
10
10
11
00
11
11
00
10
11
00
00
00
11
10
11
00
11
11
00
01
00
01
10
10
01
10
11
00
00
10
10
01
00
00
10
11
00
00
00
00
11
10
01
00
11
11
10
10
10
00
00
00
10
00
01
11
11
11
10
11
11
00
11
00
00
11
10
01
00
01
00
00
00
11
11
00
10
11
10
11
01
00
00
01
10
10
00
00
00
00
00
10
11
10
11
10
00
10
10
00
00
00
10
01
00
10
10
01
00
10
11
00
10
10
10
01
00
11
10
00
10
10
11
00
11
10
10
00
00
10
10
11
00
00
10
10
01
00
00
00
00
10
11
01
11
10
01
11
01
10
01
10
01
10
11
00
00
10
11
10
00
10
10
00
00
10
01
10
10
00
00
10
10
01
01
10
11
00
10
00
11
00
00
00
10
10
00
00
00
10
11
10
11
00
00
10
00
11
00
10
11
00
00
10
01
11
01
10
10
00
00
00
10
00
01
10
00
01
00
11
00
00
11
00
00
10
00
00
11
10
00
01
11
00
10
00
00
00
10
10
10
10
10
00
00
10
01
01
00
11
01
10
01
10
10
00
01
11
10
00
00
10
00
00
10
10
00
10
00
11
01
01
00
00
11
10
00
10
01
00
11
00
11
10
00
10
00
00
11
10
00
00
10
10
00
00
11
00
10
00
10
00
10
00
10
01
00
10
00
10
00
01
10
11
00
00
11
10
01
11
11
01
10
01
00
01
01
10
10
00
10
01
01
10
00
00
10
00
10
01
10
11
10
10
10
00
01
01
00
10
10
00
01
00
10
00
01
10
00
01
10
00
10
10
11
00
01
10
11
00
00
11
00
10
11
11
01
00
10
11
01
10
11
10
00
11
00
00
11
10
00
01
10
00
01
01
10
00
00
10
01
11
10
10
00
00
10
10
11
10
01
00
11
00
10
00
01
10
11
01
00
00
11
00
10
10
01
00
11
00
00
00
10
11
00
11
11
11
00
10
10
10
10
00
10
11
00
10
00
00
00
10
00
00
10
00
00
00
00
11
00
10
00
01
10
00
01
10
00
11
00
11
00
01
11
11
01
00
11
10
10
00
00
10
10
10
01
10
10
00
00
10
10
00
10
11
00
00
01
00
00
00
10
11
11
10
00
10
00
00
10
00
01
00
01
10
01
11
00
11
11
01
00
10
11
00
01
10
01
10
10
10
00
00
11
00
00
00
00
01
10
00
11
11
01
10
00
01
11
00
01
00
10
10
11
01
00
10
01
11
00
10
11
11
10
00
10
00
11
11
00
00
10
10
00
01
10
10
10
10
00
11
10
01
00
01
00
11
10
11
10
10
10
00
11
10
11
01
01
10
10
11
01
10
11
00
11
11
11
01
01
11
10
00
00
11
01
00
10
10
10
10
00
01
01
00
01
10
11
00
10
10
11
00
00
10
10
00
00
01
10
11
11
00
10
00
00
10
10
00
10
11
00
01
10
10
10
10
01
00
10
10
10
01
00
11
00
10
10
00
10
10
10
00
01
10
01
10
00
11
00
00
00
01
00
01
01
10
11
11
11
00
10
11
10
10
01
00
11
11
00
00
01
11
11
10
00
01
00
00
01
11
10
10
10
00
00
00
10
01
10
00
01
10
00
10
11
11
11
00
00
10
00
01
00
01
11
11
01
10
11
00
11
10
00
01
10
10
00
11
10
01
11
00
00
10
01
10
10
00
01
10
10
10
00
10
10
01
00
00
10
01
11
10
00
00
01
01
00
11
10
00
11
01
00
00
10
00
01
01
10
10
00
11
00
10
00
00
11
00
00
00
10
11
00
10
10
10
10
00
01
11
11
01
00
00
11
00
00
10
11
00
01
10
10
00
11
00
00
00
00
11
10
10
10
01
00
10
00
10
10
00
10
00
10
11
00
11
01
00
01
10
10
01
01
10
01
00
11
11
00
00
10
10
00
01
10
00
00
10
00
10
00
01
10
00
11
10
00
00
10
00
00
10
00
00
11
11
11
01
10
10
11
01
00
01
10
00
11
01
00
10
10
10
11
10
10
00
00
01
10
01
00
10
00
01
10
11
10
00
11
10
11
01
00
10
10
10
00
01
10
01
11
11
01
11
01
00
10
00
00
00
10
11
10
00
01
10
10
01
11
00
11
01
11
00
00
10
10
11
00
00
00
00
00
01
10
11
00
00
11
01
11
00
11
11
10
10
00
10
10
00
10
10
10
00
00
10
01
01
00
00
01
11
10
10
00
00
11
11
11
11
01
00
00
00
00
11
11
01
01
10
10
01
10
11
01
11
11
00
00
10
11
01
01
10
10
10
00
11
00
10
10
00
00
11
10
00
11
10
10
00
00
10
10
10
01
00
10
00
01
10
10
00
10
10
11
00
01
10
10
10
10
00
00
01
10
10
00
00
11
11
11
01
10
11
10
00
10
11
00
10
10
00
10
01
10
10
01
11
00
00
10
11
10
00
01
01
10
01
01
10
11
10
10
00
00
00
11
10
00
11
11
01
10
11
00
11
11
11
10
01
00
11
10
00
00
01
10
10
10
00
10
00
00
00
00
11
10
00
10
10
10
10
10
01
01
00
00
00
01
10
01
01
10
00
00
11
00
10
11
00
11
10
11
10
10
00
01
00
10
00
01
10
00
00
00
11
00
11
10
01
10
00
11
10
00
00
00
10
10
11
00
10
10
10
10
11
00
01
10
00
11
00
10
00
10
10
10
01
00
11
10
01
11
10
00
00
10
11
10
10
00
00
01
10
10
11
00
01
00
10
10
01
01
01
01
10
10
10
10
01
00
10
01
11
10
00
10
00
10
10
00
01
01
10
00
11
11
10
01
10
11
10
01
00
10
10
01
00
10
00
10
10
00
11
00
11
10
00
00
11
01
10
11
00
10
10
10
00
00
10
11
10
00
10
10
10
10
11
01
11
00
00
01
01
11
01
11
11
00
00
10
00
00
11
00
00
01
00
11
01
00
10
00
01
10
01
00
00
00
00
10
00
00
10
00
00
01
10
00
10
11
00
00
10
00
00
01
10
11
01
10
10
10
11
00
00
00
10
11
10
00
00
10
00
10
00
00
11
10
00
00
10
10
11
10
00
10
00
00
00
00
00
00
10
10
00
10
00
00
11
00
10
10
00
11
10
11
00
00
10
10
11
10
00
00
10
10
10
00
10
11
11
11
00
00
11
01
01
10
10
01
11
11
00
00
11
10
10
01
01
10
00
10
00
00
00
00
10
00
10
00
10
11
11
01
11
10
00
00
01
00
00
10
11
11
00
11
00
01
10
11
00
00
00
00
10
01
00
11
00
00
11
10
11
10
00
00
00
01
10
01
10
00
00
00
10
11
10
10
01
10
10
10
00
00
00
11
10
11
00
00
10
00
00
10
00
00
10
10
11
00
10
00
00
10
00
01
10
10
00
00
01
00
10
00
11
10
10
10
10
11
01
00
10
10
00
00
01
10
00
11
10
11
10
01
00
00
01
00
11
10
00
10
10
00
01
00
01
00
11
10
00
11
00
01
11
11
01
10
01
00
11
10
00
00
10
01
00
10
01
10
00
11
00
01
10
00
10
11
11
01
11
10
00
01
11
00
00
11
10
00
11
10
00
00
11
01
01
10
10
11
01
10
00
00
01
01
11
11
00
11
11
00
01
10
11
01
10
00
01
01
10
01
01
10
10
11
10
00
00
11
10
10
00
01
10
11
10
00
00
11
00
00
10
10
11
00
10
00
00
10
11
10
10
11
11
00
00
10
00
10
00
01
00
10
10
00
11
00
11
10
00
10
10
10
01
10
10
01
10
11
10
00
00
10
10
00
10
10
00
10
00
10
00
00
10
10
11
11
00
00
11
10
00
10
10
10
00
01
10
11
11
00
01
00
00
10
01
10
11
10
00
01
10
10
00
10
10
00
00
11
00
01
10
10
00
00
11
00
00
00
00
10
10
10
00
00
10
11
01
00
11
00
10
01
00
10
11
01
00
00
01
10
00
00
10
00
11
10
01
11
11
00
10
10
00
00
11
10
00
00
10
00
11
10
00
10
00
00
10
00
00
10
11
01
11
10
10
01
10
10
10
11
10
10
01
00
00
01
00
10
00
10
10
10
10
00
10
00
01
10
00
00
10
00
01
11
10
00
01
10
00
00
01
10
10
01
10
00
01
11
00
00
10
11
00
00
11
00
10
01
00
00
01
10
10
00
00
10
00
01
11
01
01
10
10
10
00
01
00
01
10
00
10
00
01
00
00
10
01
01
00
11
10
10
01
01
10
10
01
01
10
10
00
11
00
11
10
10
00
10
11
00
11
11
00
01
01
00
00
10
10
00
01
11
01
11
00
01
10
00
00
00
10
10
10
00
00
11
00
01
10
00
00
10
01
10
10
00
10
00
10
00
01
11
11
10
00
00
10
00
01
10
10
00
01
11
11
00
00
10
11
00
11
10
10
00
11
00
10
10
10
11
00
00
00
10
10
00
00
01
11
01
10
10
10
00
10
00
00
11
10
00
10
01
10
00
00
10
10
10
11
00
10
10
00
00
00
10
10
10
01
11
10
11
10
11
01
11
10
01
10
10
10
00
10
10
00
00
00
01
11
11
10
01
10
01
10
10
11
10
11
01
10
00
10
01
10
10
00
10
10
01
11
10
00
10
01
01
01
00
10
11
01
00
10
10
10
11
00
00
01
10
10
01
10
01
00
10
00
10
00
01
00
10
00
11
00
10
10
00
00
01
10
11
10
01
10
10
00
10
00
10
00
01
01
10
10
10
01
00
10
11
10
00
01
00
10
00
00
10
00
00
10
11
11
00
00
01
10
10
11
10
10
10
10
00
10
10
01
00
10
11
01
00
11
01
01
10
00
10
10
00
00
00
11
00
10
10
01
01
11
11
01
00
10
00
10
00
01
10
11
01
11
10
10
10
10
10
00
11
00
00
01
00
10
00
11
11
00
00
11
00
10
11
00
11
00
00
10
00
00
00
11
10
11
00
00
01
11
01
01
10
10
00
01
01
10
10
10
10
11
01
00
00
00
11
10
00
00
11
00
01
00
10
10
00
11
01
00
01
10
10
01
10
10
01
00
11
11
01
01
11
11
10
10
00
01
01
10
01
11
00
00
11
10
11
10
00
00
01
10
00
00
11
00
10
00
00
11
01
01
10
00
01
00
10
10
11
10
00
00
10
00
00
10
00
10
00
01
00
11
00
11
10
10
00
10
11
00
01
10
10
10
00
10
10
10
00
10
00
00
01
00
10
00
11
00
00
00
10
01
10
01
10
01
00
10
01
01
10
10
01
01
00
11
10
01
00
11
01
00
11
10
00
01
00
10
01
00
10
01
01
01
00
11
00
10
10
10
00
00
10
10
10
00
00
10
11
10
10
10
00
10
10
10
01
10
01
10
10
10
00
01
00
00
00
10
00
10
00
10
11
10
00
10
10
11
10
00
00
11
11
11
10
01
01
10
11
10
01
00
10
10
01
00
11
11
00
00
10
10
10
00
00
00
10
10
10
11
01
11
10
00
00
01
00
10
01
00
00
01
10
01
10
00
10
10
11
01
10
11
01
01
10
00
01
11
00
00
10
10
00
01
00
10
01
00
11
10
00
10
10
01
00
11
10
00
10
00
01
10
01
00
00
01
11
10
10
00
00
10
01
11
10
11
00
00
01
10
11
00
00
10
10
11
00
01
10
11
11
00
00
10
00
10
00
00
00
00
11
00
10
01
00
00
10
10
11
11
00
01
00
10
01
00
10
11
10
00
10
10
11
00
00
00
11
11
11
11
01
01
10
11
00
00
10
11
00
00
10
11
00
00
10
10
11
10
00
11
00
01
00
01
01
00
10
11
00
01
10
10
10
01
00
01
10
10
00
00
00
10
10
10
01
11
00
00
11
10
10
10
00
11
10
10
10
00
10
00
00
10
10
01
01
10
01
10
00
10
01
00
11
11
00
10
00
10
00
00
00
11
00
10
00
11
11
00
11
00
10
10
11
10
00
00
10
00
01
10
01
10
11
00
00
01
00
10
11
11
00
10
10
01
11
11
00
10
01
00
00
00
11
11
11
10
00
10
11
10
00
10
10
00
00
00
00
01
00
11
00
00
00
11
00
10
10
10
00
11
00
00
01
11
00
10
00
10
10
10
00
00
11
10
01
10
00
10
01
00
01
10
10
00
10
11
00
01
10
01
00
10
10
00
01
10
00
01
01
00
01
00
11
00
11
00
11
11
10
11
01
11
11
11
01
01
10
10
10
10
00
01
10
00
01
11
11
01
01
10
00
10
10
00
10
00
11
10
00
00
10
00
01
10
00
10
10
11
01
01
11
01
11
00
01
11
11
01
00
10
10
10
01
10
00
00
10
11
01
11
10
01
00
01
00
10
00
00
11
10
00
00
00
01
10
00
00
11
01
10
10
10
01
10
10
00
00
00
10
00
01
00
10
10
00
01
10
10
11
00
10
01
00
10
01
11
00
11
10
11
10
10
10
10
10
00
01
00
11
10
10
11
00
01
10
10
01
10
10
10
00
01
10
00
10
00
00
10
10
00
00
10
11
00
10
01
10
10
10
00
10
10
00
00
00
01
00
11
01
00
11
00
01
01
00
10
11
00
00
11
11
01
11
10
00
11
10
11
10
00
01
01
11
10
10
01
10
10
11
10
01
01
10
11
00
00
00
00
10
11
11
01
01
00
00
10
01
00
10
10
00
11
10
00
10
00
11
10
11
00
10
10
00
00
10
10
00
01
01
01
10
00
00
11
00
01
10
00
00
10
00
10
10
01
10
00
10
01
00
10
10
01
11
10
11
00
01
00
00
10
01
01
00
00
11
11
01
01
00
00
00
00
10
01
01
10
10
00
01
00
11
01
00
00
10
01
10
00
01
10
11
10
11
11
10
10
00
11
00
00
10
01
10
11
11
11
01
11
11
00
10
01
01
11
00
01
10
00
10
00
00
11
10
10
00
11
00
00
00
11
10
00
01
11
10
10
01
01
01
10
10
10
00
01
11
01
00
00
00
10
11
00
11
11
10
00
11
10
00
10
11
00
10
00
00
00
10
10
10
00
10
11
10
00
10
10
00
01
10
10
11
00
00
11
00
00
00
00
10
11
10
11
11
01
10
10
00
00
01
11
10
01
00
10
10
10
10
11
10
00
00
01
10
00
00
10
10
11
00
01
10
11
01
00
11
11
10
01
00
10
11
01
01
10
11
00
00
11
10
11
10
11
01
10
00
01
01
11
01
10
10
00
10
10
11
11
00
00
01
10
10
00
00
11
11
00
10
01
01
00
00
11
10
00
00
00
10
00
00
10
00
01
10
10
00
00
00
01
10
11
00
00
11
00
10
10
00
00
10
00
10
00
11
00
00
01
01
10
00
10
01
10
00
00
10
10
01
00
00
10
11
01
00
10
10
01
00
11
00
00
01
10
10
10
10
01
00
10
10
11
01
10
11
00
10
10
00
10
10
10
00
01
11
01
10
01
00
01
01
11
10
11
00
00
01
10
10
10
00
01
11
00
00
11
10
00
10
11
01
10
11
01
00
10
00
00
11
00
00
10
10
00
11
10
11
10
00
01
10
10
01
01
00
00
00
10
11
11
00
00
10
10
10
00
10
00
01
00
11
11
11
10
10
11
11
00
00
10
11
10
00
00
00
11
10
01
10
10
10
00
10
10
11
00
10
11
00
11
11
01
01
10
00
01
00
10
10
00
01
00
01
11
11
00
10
11
00
01
01
10
10
00
00
10
01
10
00
00
10
00
01
11
11
00
10
10
11
11
00
10
10
00
10
00
00
00
11
00
10
10
01
10
10
00
00
00
10
00
00
00
00
00
10
11
00
00
10
00
11
10
10
11
01
00
11
01
10
00
10
00
00
10
11
10
01
01
10
11
00
11
00
10
10
00
01
01
00
11
10
11
11
10
10
01
00
10
00
00
01
00
11
10
00
00
10
10
00
10
11
11
10
01
10
10
00
00
00
00
00
10
11
10
00
10
10
00
11
10
00
00
11
01
01
10
10
11
10
00
00
10
10
00
01
10
00
10
00
11
01
00
10
00
00
11
10
10
00
10
11
00
00
00
01
00
01
11
00
10
01
00
01
11
10
10
00
11
10
01
10
00
00
11
00
11
00
01
00
01
10
11
00
10
00
10
10
01
00
11
00
00
00
10
10
01
10
01
00
10
01
00
01
10
10
01
11
01
11
00
01
11
10
10
10
01
00
10
01
10
10
01
01
01
10
11
00
00
11
00
10
00
00
10
11
01
01
00
00
11
11
11
00
11
00
00
00
00
10
10
10
00
11
00
01
00
10
00
11
00
10
10
10
00
00
01
01
11
00
11
00
00
10
00
00
10
01
11
10
01
01
10
01
00
10
10
00
00
10
00
00
10
01
00
11
11
11
11
01
01
01
00
11
01
01
00
00
10
10
01
00
00
11
00
01
10
10
10
00
01
00
00
01
11
10
01
10
00
00
00
10
01
10
00
10
11
01
01
10
10
11
00
10
10
00
00
00
10
10
10
11
10
00
11
11
10
00
10
00
01
00
00
00
10
11
00
01
00
01
00
11
00
10
00
00
11
10
10
01
11
10
11
10
10
00
00
00
00
00
10
00
11
01
01
00
10
10
00
10
10
01
10
11
00
01
10
00
10
01
00
10
00
11
00
11
11
00
11
00
10
11
10
10
00
00
01
00
10
10
01
00
11
01
01
01
00
00
11
00
10
10
00
11
01
10
01
10
10
00
00
00
00
00
10
10
00
10
00
00
10
10
00
00
01
00
01
00
11
01
10
10
10
00
01
10
00
00
10
00
00
01
10
00
11
10
10
00
10
00
00
00
00
10
11
00
00
00
10
11
11
00
11
11
01
00
10
00
01
11
11
10
00
00
01
11
10
10
00
00
00
11
00
01
10
00
01
11
00
00
10
11
11
00
00
10
10
00
11
11
00
11
11
10
10
10
11
10
01
01
10
10
01
10
10
11
00
01
10
10
11
10
11
00
00
11
01
01
00
10
10
11
00
00
10
10
11
01
01
11
00
01
10
01
01
10
10
00
01
10
00
00
10
11
00
00
00
01
10
01
11
11
10
01
10
00
11
10
00
00
10
10
00
00
00
10
10
11
00
00
10
01
00
11
10
11
11
00
01
00
01
11
11
00
10
10
00
10
00
00
10
10
10
11
10
00
00
11
01
00
11
01
00
10
01
11
00
01
10
01
00
10
01
00
01
10
00
11
01
11
11
00
01
10
00
10
10
10
00
10
10
00
00
00
00
10
01
01
01
01
10
11
10
00
01
10
01
00
00
10
10
10
10
10
01
00
10
11
10
01
01
10
11
00
10
01
10
11
11
10
00
10
01
10
11
01
10
10
00
00
01
11
10
00
10
01
10
00
00
11
10
00
01
00
10
00
10
10
10
00
01
10
10
01
00
00
11
10
11
01
00
01
00
00
01
00
11
11
01
00
11
11
00
11
00
01
11
00
10
10
01
00
10
00
10
11
00
01
00
10
10
10
10
00
10
11
10
01
00
10
10
00
10
00
01
10
00
00
10
10
00
10
10
10
11
10
01
11
10
10
10
11
10
00
01
10
11
01
00
11
10
01
10
00
00
10
00
01
10
11
10
00
10
01
00
00
11
00
10
10
00
11
00
00
11
00
01
00
10
10
01
00
00
01
10
00
10
00
00
11
01
11
11
00
00
10
00
01
10
10
01
01
10
11
00
11
01
10
00
11
10
00
10
10
00
01
00
11
00
11
10
01
00
01
00
10
01
00
10
00
00
11
11
10
00
00
11
10
00
00
10
01
10
10
10
10
00
01
11
00
10
00
10
00
10
10
11
10
01
00
10
10
01
00
01
10
10
10
10
01
10
00
00
00
10
11
01
00
11
11
10
11
01
00
00
10
10
00
00
10
00
00
00
00
10
10
00
01
10
01
00
11
11
10
00
01
11
00
10
11
00
01
00
10
00
00
10
01
10
10
10
00
01
00
01
00
00
00
11
10
00
10
10
00
00
10
01
11
10
00
10
11
01
01
10
10
01
10
00
00
10
10
11
00
00
11
11
10
10
00
00
10
11
11
10
01
01
01
00
00
00
10
10
01
10
00
00
11
11
11
10
11
10
10
10
01
00
00
10
00
00
11
00
10
00
00
00
00
10
10
10
00
01
11
10
00
10
01
00
11
11
11
01
00
10
00
01
10
11
10
11
01
10
00
01
01
10
01
10
10
01
10
00
10
10
00
10
01
00
10
11
10
00
01
00
10
10
00
00
00
00
11
00
10
11
10
01
10
00
10
10
00
10
11
01
10
10
00
00
10
10
00
10
11
11
00
11
00
00
00
00
10
00
00
10
11
01
11
10
01
00
01
11
00
00
10
10
00
00
11
10
11
11
01
10
10
00
00
11
00
00
10
11
10
00
00
11
01
10
10
00
01
10
00
10
01
00
10
11
10
01
00
00
00
00
11
00
10
10
10
00
00
11
11
01
00
11
11
01
01
01
00
00
10
11
10
00
10
10
11
10
01
10
10
11
00
00
00
11
10
10
00
00
00
00
10
01
00
11
00
10
00
10
00
10
10
00
10
11
00
10
01
10
10
01
10
10
11
00
10
10
10
01
00
11
10
10
10
00
01
00
11
10
00
00
10
10
11
00
01
00
01
10
11
10
11
11
00
01
11
11
00
00
11
10
01
00
00
10
10
01
00
10
10
10
00
10
00
01
10
10
10
01
00
10
10
00
00
10
00
10
00
00
10
01
10
01
00
10
00
11
00
10
10
01
00
10
10
01
10
10
00
10
01
01
10
00
10
01
01
00
00
11
11
00
00
10
11
01
00
00
01
01
10
01
10
11
01
01
00
10
11
01
00
01
11
11
11
11
11
01
01
11
11
01
00
10
00
01
00
01
10
10
10
00
10
01
00
10
10
00
01
10
11
00
00
01
10
00
10
10
01
00
10
01
00
00
11
10
01
00
00
11
10
10
10
00
00
00
00
11
01
10
00
11
00
10
11
10
10
00
10
01
00
00
00
01
11
11
10
00
11
11
10
00
00
10
10
00
01
10
00
10
01
01
01
10
10
00
10
00
01
10
10
00
00
00
11
00
00
10
00
10
11
11
10
01
10
00
10
01
01
00
10
11
10
10
10
11
00
00
10
00
00
10
00
00
01
01
00
00
10
10
10
00
00
10
00
00
10
00
00
10
11
00
00
01
01
10
11
11
01
11
10
00
10
10
01
00
11
10
01
10
10
00
00
01
10
10
00
11
01
01
00
11
10
10
10
00
01
00
10
10
00
01
10
11
01
10
10
10
01
00
00
10
11
00
00
10
11
10
00
01
11
11
01
01
00
11
00
01
10
10
10
10
01
10
10
00
00
11
00
00
11
01
10
10
00
00
00
10
00
00
10
00
00
01
10
11
10
01
10
10
10
00
01
11
10
00
10
10
11
10
00
10
00
01
10
11
11
01
11
10
00
00
00
00
10
10
00
11
10
10
00
01
00
00
00
00
10
00
01
10
01
01
00
11
11
01
10
00
00
01
10
01
00
10
10
01
10
11
10
01
01
01
00
00
10
10
00
00
01
11
11
11
10
00
00
11
00
11
11
11
00
11
10
00
00
10
00
00
11
10
01
11
10
00
10
11
01
00
10
01
00
10
00
10
10
01
01
11
10
00
00
00
00
00
11
10
11
00
10
01
10
00
01
11
11
10
01
00
01
01
11
10
01
01
11
00
00
11
10
10
10
00
00
11
10
00
10
00
10
01
00
10
10
00
11
10
00
11
00
00
00
00
10
11
00
01
11
10
01
00
00
00
00
11
10
10
00
11
01
10
11
10
10
11
00
00
00
10
11
00
01
01
00
10
10
10
10
10
01
10
00
00
11
00
01
10
10
00
01
11
10
01
01
00
11
10
00
00
00
10
00
10
10
10
10
00
00
00
01
10
01
11
10
10
00
11
11
01
11
01
00
10
01
01
11
10
10
00
11
00
00
00
11
01
11
00
10
00
00
00
10
10
01
10
10
00
00
01
11
00
00
10
10
00
00
00
11
10
00
10
11
01
00
10
00
10
10
01
00
10
00
10
00
00
00
00
11
10
10
01
01
10
10
01
00
10
10
11
10
11
00
00
00
01
00
00
01
10
10
00
11
10
00
00
11
01
00
01
11
00
10
01
10
10
00
01
00
00
00
11
11
00
00
00
00
00
01
10
11
10
11
11
00
00
00
00
00
10
10
10
00
00
10
11
11
10
00
10
10
10
10
00
10
10
01
10
10
00
01
00
10
00
11
00
00
11
11
01
00
10
10
00
00
10
10
00
00
11
01
00
00
01
10
00
11
00
01
01
11
10
01
01
10
11
00
00
01
10
11
01
10
10
00
00
10
00
10
10
00
01
01
00
00
11
00
10
01
11
10
10
00
00
10
00
00
10
00
01
00
01
00
11
00
00
00
00
10
11
11
11
11
00
10
11
10
00
10
10
00
10
11
00
10
00
11
00
10
11
00
10
10
01
01
10
00
10
10
00
10
10
10
00
11
10
00
00
00
10
10
10
00
00
10
10
00
00
11
11
10
11
01
00
11
00
11
10
01
01
10
01
11
10
00
10
10
00
11
10
10
10
10
00
10
11
11
00
00
10
00
10
00
10
00
10
11
01
11
01
00
00
10
00
10
00
01
01
00
11
00
10
10
11
11
00
00
10
10
11
10
11
01
00
10
10
10
10
00
00
00
00
00
00
00
00
10
00
10
11
01
11
01
01
01
01
01
10
10
01
10
00
00
10
10
11
11
00
10
11
11
11
10
10
00
10
11
10
10
00
00
10
10
01
01
10
01
00
10
00
10
00
10
00
00
11
10
10
11
00
10
10
11
10
00
00
10
11
11
10
00
01
00
10
10
00
11
11
00
00
01
00
00
01
10
00
00
11
00
00
10
10
00
00
10
10
10
00
11
00
01
01
01
10
00
10
10
00
00
10
10
11
10
00
00
10
01
01
01
10
00
00
01
10
11
00
00
00
01
10
00
11
10
11
10
10
00
00
00
00
00
10
01
00
10
10
01
00
11
00
01
10
10
11
01
10
10
00
00
10
10
00
01
01
10
11
00
01
10
11
00
11
00
01
10
10
00
01
01
00
00
11
10
01
00
00
10
01
00
00
11
10
11
10
00
00
11
11
00
10
10
10
01
11
11
00
00
10
10
10
01
00
10
10
10
10
11
00
10
10
00
10
11
00
00
00
11
10
10
10
00
00
10
10
00
11
10
10
10
10
11
01
10
11
00
00
00
11
10
10
10
11
10
01
11
10
11
00
01
00
00
00
00
10
10
11
01
11
10
10
10
10
10
01
11
00
01
00
10
10
01
00
11
01
10
00
10
00
00
10
10
01
01
10
00
10
10
00
10
01
00
10
10
10
00
10
10
00
10
00
01
10
11
01
10
10
01
10
01
01
11
11
00
11
01
10
10
10
01
00
11
11
00
00
10
00
11
00
00
00
00
11
01
10
00
11
10
10
11
11
10
01
10
00
10
00
10
10
10
01
01
10
10
11
01
01
10
10
00
10
01
00
11
10
10
00
00
10
00
00
10
10
00
01
00
01
11
01
01
10
01
00
11
10
10
00
00
10
00
01
10
10
10
11
00
01
10
10
00
00
10
10
01
01
01
11
00
00
10
00
10
00
10
10
11
00
10
10
00
10
00
10
01
11
10
00
10
00
00
10
00
10
10
10
10
10
01
10
00
01
00
10
10
10
00
10
00
00
10
01
00
11
10
10
00
00
00
00
10
11
10
00
01
00
11
01
00
01
01
10
00
01
10
10
11
11
00
11
01
10
00
10
11
11
00
01
00
01
10
11
01
10
10
10
11
10
00
10
00
10
00
00
10
11
11
10
01
01
00
00
11
11
01
10
10
01
00
11
00
01
11
01
10
11
01
01
11
10
00
00
10
10
10
00
10
00
10
10
10
10
11
11
11
11
10
10
00
10
00
00
10
00
01
00
11
11
00
10
10
01
00
01
10
01
01
00
11
10
00
00
00
00
11
11
01
01
10
10
01
00
00
01
10
11
11
00
11
01
01
00
11
01
11
01
00
10
10
01
01
00
10
11
10
00
11
00
11
01
10
10
00
10
11
00
10
10
11
10
10
10
10
00
01
10
00
10
11
00
00
10
00
00
11
00
11
00
00
11
01
00
00
00
10
10
10
01
10
01
00
00
10
11
01
00
00
11
01
01
01
10
11
00
11
00
00
10
10
00
00
00
00
10
10
00
00
01
01
10
10
00
10
00
10
10
10
10
00
11
00
00
01
10
00
01
01
01
10
10
11
00
10
00
00
10
10
01
00
10
11
10
11
11
01
01
10
10
00
10
10
01
11
10
01
01
00
01
11
11
00
00
11
10
01
01
10
00
00
11
10
00
00
01
00
01
01
11
10
01
00
01
00
10
00
00
10
00
00
10
10
11
10
01
00
11
00
10
10
11
01
00
00
10
10
00
10
10
11
10
00
00
11
10
11
10
10
00
10
00
00
10
10
11
00
00
00
00
10
00
01
11
11
01
10
01
10
10
10
01
00
11
11
00
00
10
01
11
10
00
00
10
11
10
11
00
00
10
00
01
10
00
01
11
11
11
11
10
01
01
10
11
01
00
10
11
01
11
00
01
10
00
00
00
11
10
01
01
00
00
11
01
00
00
11
10
00
00
10
11
01
11
10
00
10
01
11
10
00
01
11
00
11
11
01
00
10
10
11
00
10
01
00
01
10
10
10
10
01
01
10
11
00
11
00
11
00
10
00
00
00
10
10
00
01
10
10
10
10
10
00
01
10
10
10
10
01
10
10
10
10
00
01
00
01
00
10
00
00
00
10
10
00
10
00
01
10
10
10
11
11
10
10
00
11
01
10
11
00
11
00
00
10
11
00
00
00
11
10
00
00
00
11
00
10
10
00
10
10
10
00
10
00
11
10
00
10
10
11
00
10
00
10
00
10
10
10
10
01
10
10
00
10
01
10
00
11
00
10
10
01
01
00
10
00
11
11
00
01
10
10
00
10
10
10
00
00
10
01
11
00
10
11
10
01
00
00
00
10
00
10
10
00
10
10
00
01
11
10
10
01
10
01
11
01
10
00
11
11
10
01
00
11
10
01
10
00
00
11
00
00
10
10
00
11
00
11
01
11
10
10
00
10
10
01
01
10
10
00
00
10
11
01
11
10
01
10
00
11
00
00
00
00
11
10
01
11
01
00
00
10
10
11
00
00
11
10
10
01
01
00
10
10
10
00
10
10
10
00
00
11
10
11
00
00
00
10
01
11
10
00
01
10
00
10
10
01
11
10
00
11
11
11
01
01
00
00
00
10
10
01
10
10
00
01
10
10
00
01
00
10
10
11
11
00
01
01
00
00
10
10
01
00
10
10
10
11
10
11
10
10
00
01
10
00
00
10
10
10
10
00
10
10
10
01
00
01
10
11
00
01
00
10
00
00
10
00
11
10
10
10
01
10
01
01
10
10
00
10
10
00
01
00
11
00
10
10
11
01
00
10
10
10
01
00
11
00
10
11
01
10
11
10
00
00
10
11
00
00
10
01
00
10
00
00
01
01
11
01
01
10
10
10
10
00
00
00
00
00
00
10
10
11
10
00
00
10
01
11
10
00
10
10
10
00
11
10
00
00
00
10
01
01
10
11
00
01
10
10
00
11
10
00
10
01
01
01
00
10
10
00
11
00
11
10
00
00
10
00
00
00
10
01
10
01
10
00
11
11
11
01
10
11
10
01
11
00
01
10
11
11
00
00
10
11
01
00
00
10
10
10
10
10
10
00
11
00
10
10
11
00
00
01
10
00
01
00
00
10
10
11
00
10
10
00
10
10
01
10
00
10
10
01
00
10
01
10
11
10
00
10
11
01
01
10
11
00
00
00
00
00
11
10
00
01
01
10
11
01
01
11
00
10
00
11
10
10
10
00
10
00
01
10
01
10
01
10
10
00
11
00
00
00
01
00
11
11
00
00
01
00
10
01
00
10
11
00
00
00
00
10
10
10
00
10
10
10
10
00
11
00
10
10
00
01
10
11
10
01
01
10
01
01
10
00
00
10
00
01
00
00
10
10
00
00
01
10
00
00
01
11
10
00
11
11
10
10
00
01
10
10
01
00
10
11
00
11
11
00
00
00
10
10
01
10
01
10
10
11
10
01
01
00
00
10
10
01
11
11
10
00
00
01
10
00
01
10
00
10
10
10
00
00
10
01
10
00
10
00
00
00
10
00
01
00
01
11
00
10
00
01
10
01
10
00
00
10
11
10
00
10
10
00
11
10
10
01
10
00
00
10
00
11
11
01
11
10
10
10
11
10
10
00
00
10
11
10
00
00
01
00
11
11
00
00
00
00
10
10
00
11
00
00
00
01
10
10
10
01
01
11
10
01
11
00
11
01
00
11
00
10
00
10
10
00
01
10
11
00
01
11
01
10
11
00
00
01
10
00
11
10
01
01
10
00
00
01
00
10
11
10
10
10
10
01
11
01
11
10
00
01
01
00
11
10
01
01
00
10
01
11
10
10
00
00
10
10
10
00
00
01
00
10
10
11
10
10
00
00
01
10
10
10
01
11
00
00
11
10
00
01
01
00
11
10
01
00
01
00
10
10
00
00
10
10
10
10
00
00
00
00
00
10
00
01
10
10
10
10
01
00
00
10
10
11
10
00
00
00
11
00
10
00
00
10
01
00
11
11
01
10
01
11
10
01
00
11
10
10
10
10
10
00
10
00
10
10
11
01
10
00
10
10
01
10
00
01
10
11
10
11
10
00
01
00
11
11
11
10
10
00
10
01
10
10
00
10
10
00
00
11
10
00
11
10
00
00
01
11
10
10
11
00
01
01
00
01
01
11
10
00
11
10
01
00
00
10
11
01
10
11
01
10
00
01
11
11
01
00
00
10
01
00
10
10
00
00
00
10
10
11
00
10
00
10
01
10
01
00
01
10
00
00
00
00
01
10
10
00
00
11
00
10
10
00
11
00
10
00
11
01
01
01
01
10
11
10
00
01
00
10
10
01
10
11
11
01
11
01
00
01
01
10
00
10
10
00
00
11
01
00
10
00
10
11
11
11
10
01
10
01
00
01
00
11
11
01
10
11
10
11
11
00
00
10
11
01
10
11
00
00
10
00
01
10
10
00
01
10
11
00
10
00
11
11
00
00
11
00
10
00
11
11
00
00
10
10
00
10
00
10
11
00
01
01
00
01
10
00
00
10
10
11
01
00
10
00
00
11
11
01
01
11
11
10
10
01
10
10
10
10
00
00
00
00
10
00
10
01
11
10
10
10
10
11
00
00
11
10
10
11
01
10
11
01
10
01
00
10
00
10
11
11
00
00
10
11
10
01
10
00
10
11
10
10
01
10
00
01
11
10
10
01
01
10
00
11
10
01
00
00
00
00
00
10
10
01
00
10
10
10
10
10
01
00
11
01
11
11
00
00
10
11
10
00
01
11
01
00
00
00
10
00
00
11
10
00
10
00
01
01
10
11
00
10
01
10
01
00
01
10
10
10
10
01
00
00
11
00
00
01
00
00
00
11
11
00
11
11
00
11
00
11
10
10
01
00
00
10
11
00
00
00
00
01
10
00
10
10
00
00
01
00
01
01
00
01
00
00
11
11
11
10
11
01
10
01
10
10
00
00
00
10
00
10
00
10
01
00
00
00
00
10
00
11
10
00
10
00
00
00
10
11
11
01
00
10
11
01
00
01
11
10
10
01
01
00
00
11
11
10
00
00
00
10
10
11
00
00
11
00
00
10
00
01
00
00
11
00
11
11
11
01
01
00
00
00
10
00
10
11
10
00
00
10
10
11
01
01
00
10
00
10
00
01
10
10
00
00
00
11
00
10
00
00
10
00
01
11
10
11
11
00
11
10
10
00
00
01
01
11
10
10
10
10
00
00
00
10
10
01
11
10
01
00
00
11
11
11
11
00
00
00
01
10
00
00
10
00
10
11
11
11
10
11
00
00
00
10
10
01
11
01
00
00
11
01
10
01
10
00
00
00
10
10
10
00
01
10
11
01
01
00
00
10
10
10
10
01
00
11
10
11
01
11
11
00
00
11
00
10
10
00
00
11
10
01
10
10
10
10
10
10
10
00
11
00
11
00
00
00
10
00
00
10
11
01
01
10
10
10
00
00
11
10
10
00
00
01
10
00
01
00
11
10
00
10
10
11
00
01
01
10
11
10
10
11
00
01
10
01
00
01
00
10
10
01
01
10
10
00
10
10
11
00
10
10
10
11
00
11
00
10
10
10
11
00
00
00
11
10
10
01
10
00
00
00
10
01
00
10
01
01
00
11
11
01
10
00
00
01
10
01
01
11
11
00
11
01
10
11
00
10
10
00
00
10
00
01
10
01
10
00
10
10
10
11
10
01
10
00
00
00
11
11
00
00
10
10
11
00
01
10
01
00
10
10
10
10
00
00
01
00
00
11
00
00
10
01
01
10
01
11
10
10
10
00
01
01
10
10
00
10
00
01
10
01
01
00
00
00
10
10
10
11
01
00
00
00
10
01
00
11
00
00
00
11
11
00
10
10
00
10
01
11
00
01
01
10
10
00
10
00
10
10
00
11
10
01
00
00
00
00
01
01
10
11
00
01
10
00
00
01
00
10
01
00
10
00
10
11
11
00
00
00
10
00
10
01
10
00
10
10
00
10
00
00
00
11
10
00
10
10
11
11
00
00
10
11
00
00
01
11
11
00
01
10
11
00
10
00
00
00
10
10
00
11
10
00
10
10
11
11
00
01
10
00
01
10
00
00
00
10
11
10
00
01
00
10
10
01
11
10
01
00
11
10
11
01
00
10
10
10
10
11
00
01
11
11
10
11
11
00
00
00
11
10
00
00
11
10
00
11
00
10
11
00
00
11
11
10
01
01
10
00
00
01
10
10
00
10
00
00
01
11
10
01
10
10
00
10
10
00
00
10
00
10
00
01
10
10
10
00
00
00
00
00
00
10
00
10
00
00
10
11
01
00
11
00
11
00
00
10
10
10
10
01
00
11
00
01
11
10
11
01
00
11
00
10
11
00
00
10
10
01
10
10
10
10
01
01
00
10
10
11
10
10
00
11
10
11
10
01
10
10
00
00
10
10
01
01
00
10
10
10
00
00
10
10
00
10
01
00
10
00
00
10
01
00
11
11
00
00
10
11
11
00
00
00
11
01
10
10
11
11
11
11
01
00
10
10
01
10
11
01
00
10
10
00
10
10
00
00
00
00
00
00
00
11
00
10
00
10
01
10
10
11
10
01
00
10
01
10
11
11
11
10
11
01
01
11
10
10
10
11
00
00
10
00
11
10
10
01
00
11
11
11
10
00
00
10
11
00
00
10
10
10
01
01
10
10
11
00
01
00
10
11
00
00
00
00
10
11
00
00
11
10
01
10
10
10
00
00
10
00
10
11
11
10
11
01
00
11
10
00
11
10
00
10
10
00
10
00
10
00
01
11
00
10
10
01
00
00
00
10
10
00
10
00
01
00
11
11
00
10
10
00
10
11
00
01
10
10
00
10
00
01
10
10
10
10
01
00
00
00
00
11
00
10
11
10
11
10
10
00
11
01
11
11
01
00
00
11
10
10
00
00
01
10
01
10
11
00
10
10
00
00
10
00
00
10
11
00
11
11
10
11
11
10
00
00
10
00
10
11
01
01
11
11
00
10
10
00
01
10
10
00
10
10
00
10
11
00
00
01
11
01
10
00
00
01
10
01
10
11
00
00
00
10
00
01
01
11
10
11
11
00
00
11
00
00
01
10
01
00
11
10
10
01
11
10
00
11
01
01
11
10
01
11
11
10
11
00
00
00
10
10
10
01
00
00
11
00
01
11
00
11
11
00
11
00
00
00
10
11
10
00
10
00
00
01
00
00
01
00
00
00
11
11
00
00
10
11
10
11
11
00
00
11
00
10
10
00
11
11
11
01
10
10
00
10
11
01
10
00
00
10
10
10
00
10
11
00
00
10
10
10
00
00
10
00
00
10
00
00
11
00
01
00
01
10
10
00
00
11
10
11
10
11
01
00
00
10
00
10
11
00
00
00
11
10
01
10
11
10
10
00
10
10
10
00
00
00
01
10
00
00
11
00
00
00
10
10
01
11
11
10
10
00
10
01
11
10
00
10
10
00
10
00
00
00
01
10
01
00
11
11
10
10
00
00
01
00
10
01
11
10
01
10
11
11
01
10
10
11
00
00
00
10
11
10
01
10
10
00
00
01
11
10
00
01
00
11
10
10
00
10
01
01
00
10
01
01
10
00
00
11
10
01
10
10
10
00
00
10
00
00
10
10
01
01
10
01
10
10
11
11
01
11
10
01
10
11
00
01
10
10
00
11
00
00
10
11
11
10
10
01
11
10
00
01
10
00
01
10
10
00
10
00
10
11
00
10
10
01
01
00
01
00
01
10
00
11
10
11
00
00
10
11
10
10
01
01
10
00
00
10
00
00
10
00
11
00
00
00
01
10
10
01
00
10
10
10
00
11
01
10
01
01
00
11
00
01
11
10
00
00
01
10
11
11
01
00
11
10
11
00
00
00
10
00
10
01
01
01
10
10
01
10
10
00
11
11
00
10
10
01
00
10
00
00
10
10
10
11
00
11
00
10
10
00
10
00
10
11
00
00
10
10
01
10
01
00
11
10
11
01
00
10
00
00
10
00
11
10
00
00
10
10
01
10
10
10
01
00
10
10
00
10
10
11
01
10
10
01
00
01
00
10
10
00
01
10
01
10
11
00
10
10
01
00
11
01
11
00
01
10
10
10
00
10
00
11
10
11
10
11
11
10
10
00
11
10
11
01
00
00
00
00
01
00
10
10
11
00
11
10
01
10
00
10
00
10
10
01
01
11
11
10
00
00
00
00
11
10
00
10
10
01
00
00
11
10
01
01
00
11
10
01
00
11
00
01
01
01
10
10
10
01
01
11
01
11
10
11
10
11
00
00
00
11
10
01
00
10
10
00
00
10
10
10
10
00
00
00
11
10
11
00
00
10
10
11
11
10
00
11
01
00
11
11
00
10
10
01
01
10
10
10
01
10
00
01
10
11
00
11
11
11
00
10
11
00
01
10
11
00
01
10
00
00
10
00
00
01
10
00
00
00
10
10
10
10
00
10
10
11
10
01
10
01
10
10
00
11
00
00
10
10
10
10
00
01
10
00
10
00
00
00
11
01
10
11
01
00
00
10
10
00
01
11
10
01
01
10
10
11
01
10
10
10
00
00
00
10
10
00
10
01
10
01
01
10
11
01
01
10
10
00
01
10
11
00
10
10
00
00
01
00
11
11
00
11
00
00
10
01
01
00
10
10
00
11
11
00
00
11
00
11
10
00
10
10
10
10
10
00
10
00
11
00
00
00
10
10
11
01
01
10
01
11
10
11
00
00
01
00
10
10
01
00
10
10
00
01
01
00
10
11
00
01
11
01
10
00
01
11
10
01
00
11
00
00
00
10
10
00
00
10
10
00
11
10
10
01
01
10
10
11
10
10
10
00
00
00
11
10
10
10
11
10
10
11
01
10
01
10
11
00
01
00
00
10
10
01
10
11
00
11
00
10
10
01
01
10
11
00
11
11
00
11
00
00
10
10
00
11
00
01
10
10
10
00
00
00
10
10
00
11
00
10
00
00
10
01
00
00
10
00
00
11
01
10
10
00
10
10
01
10
00
00
00
11
10
01
10
00
10
11
00
00
11
11
10
01
11
10
00
10
10
10
10
00
00
10
10
00
00
10
10
11
11
01
11
10
01
00
00
00
00
11
11
11
00
00
01
01
10
00
00
10
11
11
00
10
11
00
00
11
11
01
00
10
00
10
00
00
00
10
11
10
11
01
10
01
11
00
01
10
10
10
00
00
10
10
00
00
00
10
10
00
10
01
00
00
00
00
00
00
10
10
01
00
00
01
00
10
10
00
11
11
01
00
01
00
00
10
10
10
01
01
10
11
00
00
01
11
10
01
10
10
00
00
10
01
01
11
10
10
10
10
00
11
00
01
10
00
00
10
11
10
10
00
01
10
01
11
10
00
00
10
00
11
10
01
01
00
00
01
11
10
10
01
00
10
11
11
00
01
00
00
10
00
11
00
10
00
01
10
10
00
11
00
10
10
10
11
00
00
00
10
11
00
11
00
00
00
10
10
01
00
10
00
10
10
10
00
10
00
01
01
11
11
00
11
01
00
10
10
00
10
10
11
00
01
10
10
00
00
00
10
10
01
01
00
10
01
01
01
01
10
10
00
01
11
10
00
00
11
11
11
00
00
10
01
11
10
10
11
01
00
00
00
01
11
10
01
10
10
00
10
10
00
00
10
00
11
11
00
00
11
10
01
00
01
11
11
01
10
00
00
00
00
10
10
11
10
00
00
10
00
00
11
10
00
10
11
01
00
11
10
01
10
11
01
00
10
10
00
00
10
10
01
10
11
00
00
00
01
00
10
01
00
01
00
10
10
10
01
10
00
00
10
10
11
00
00
10
00
01
11
01
00
10
11
01
00
10
10
00
00
10
11
10
00
00
00
10
11
00
11
00
10
01
00
00
10
01
11
11
10
00
10
10
00
01
11
10
11
11
00
11
00
10
10
00
00
00
10
00
11
10
10
00
00
01
10
01
00
01
10
00
00
10
00
11
01
01
00
00
10
10
10
10
01
00
00
00
10
11
00
10
10
00
10
10
00
10
00
00
10
11
01
00
01
00
10
11
10
01
00
10
01
10
10
00
00
10
00
11
11
10
11
01
00
11
10
00
10
11
00
10
00
01
11
11
00
11
11
00
11
00
00
10
11
01
10
00
10
10
00
10
10
10
10
00
11
10
00
10
01
10
00
00
11
00
00
10
10
10
11
00
00
10
00
10
10
10
10
11
00
00
00
00
11
11
00
01
10
11
10
01
11
10
01
00
00
00
10
00
11
10
11
10
10
00
11
11
11
01
00
10
10
10
00
00
10
10
01
00
01
01
10
10
00
00
00
10
10
00
11
11
10
10
01
00
01
01
11
01
01
11
01
11
10
11
00
01
10
11
01
00
11
10
00
01
10
10
01
00
10
01
00
10
11
10
11
00
00
11
01
01
11
00
00
11
10
00
00
11
10
01
01
10
00
00
10
10
01
00
10
00
00
00
11
01
00
10
11
00
00
00
10
10
10
01
10
00
11
10
00
01
00
01
10
11
10
11
11
01
00
10
11
00
10
11
10
01
10
11
00
01
10
10
00
00
10
11
11
00
01
10
11
10
01
10
00
01
00
11
11
10
00
00
00
10
00
10
00
00
10
00
01
10
10
10
10
00
10
11
00
10
00
10
00
00
01
10
00
10
11
11
11
10
00
10
00
00
01
11
11
11
01
10
01
01
10
01
00
00
00
00
10
10
01
01
11
10
10
00
10
01
10
10
00
01
00
00
10
10
01
10
01
10
10
00
11
00
00
11
10
10
01
01
01
00
01
10
01
01
10
01
01
01
10
10
00
00
01
11
10
11
10
10
10
01
00
11
10
00
10
00
11
01
01
11
10
01
11
10
01
00
11
11
00
11
10
00
00
00
01
00
01
01
11
11
00
00
11
00
01
11
11
00
00
10
10
11
00
10
10
01
10
00
10
11
10
10
01
01
00
11
10
10
01
00
00
00
00
10
11
00
00
10
00
11
00
00
10
00
10
01
10
10
00
00
10
00
01
01
10
10
00
00
00
00
10
10
01
00
10
00
10
10
11
00
00
10
01
10
00
01
10
00
01
11
11
11
00
00
00
10
11
10
00
10
10
00
10
00
00
01
00
10
10
00
01
00
00
10
01
01
11
01
00
00
11
00
10
10
10
01
10
01
00
10
00
00
00
10
00
00
10
10
00
10
10
01
10
01
00
11
10
00
10
11
01
10
11
00
01
10
11
01
10
01
00
00
10
00
00
10
10
00
11
10
01
00
00
10
01
11
11
01
01
00
11
10
01
01
10
00
00
11
10
00
00
11
00
00
11
11
10
01
00
10
00
01
11
01
10
10
11
00
11
00
10
00
10
00
00
00
11
11
00
10
10
00
01
10
11
10
01
10
10
11
10
11
00
00
11
11
01
10
10
00
10
11
00
10
10
00
10
11
00
00
10
00
10
00
00
10
00
00
10
10
00
00
00
01
00
11
01
00
00
00
00
01
00
10
00
11
11
01
10
11
10
10
11
10
01
00
10
11
10
11
10
00
00
10
00
00
00
11
00
00
00
10
00
10
11
00
11
00
01
01
00
11
11
11
00
00
11
10
11
10
00
01
10
00
10
10
00
11
00
01
01
10
00
10
01
00
01
11
00
00
00
10
10
00
01
11
01
10
00
00
10
00
10
01
01
10
10
10
10
00
11
10
00
10
00
10
10
00
10
00
00
11
11
01
10
10
00
11
00
01
00
10
10
00
10
10
00
01
01
01
10
11
10
10
10
00
10
11
00
10
00
01
10
10
11
01
11
01
00
11
11
10
10
00
11
00
11
10
00
01
10
10
10
00
01
10
01
00
00
10
00
00
10
10
00
01
10
10
00
11
00
00
10
00
00
00
00
10
00
00
00
00
10
10
10
10
00
10
01
01
00
01
10
00
00
11
11
11
10
00
00
10
10
00
11
11
01
00
10
10
10
01
01
10
00
00
01
01
01
10
11
11
01
10
00
00
10
10
00
11
11
10
01
00
00
11
00
00
10
11
10
10
10
01
00
10
10
00
00
00
01
10
00
01
01
00
11
00
00
01
10
10
10
00
00
11
01
01
10
10
00
11
00
01
10
10
01
10
00
10
01
11
10
11
10
11
00
00
10
00
10
10
11
11
01
10
01
10
10
11
11
00
01
10
10
00
00
11
10
10
01
00
10
11
10
10
10
00
00
00
11
11
10
00
00
10
11
00
01
10
10
10
10
10
10
11
01
01
10
01
01
00
00
01
00
11
10
10
10
10
00
11
10
01
11
01
10
10
10
10
10
11
10
01
10
10
10
10
10
10
11
00
10
01
10
11
00
10
00
10
10
00
10
10
00
00
00
00
01
11
00
01
00
10
00
00
00
10
10
00
00
01
01
10
00
10
00
00
00
10
01
01
01
10
00
00
10
01
10
01
00
10
10
10
11
10
10
00
01
01
10
10
10
01
00
01
01
10
00
10
01
10
00
00
01
10
11
10
00
10
11
00
11
10
11
10
00
10
01
11
00
10
10
01
00
00
11
00
00
10
01
10
10
10
00
10
11
11
11
00
10
10
10
11
00
00
11
01
00
10
11
10
10
11
00
11
10
10
00
10
10
11
00
01
10
01
00
11
10
00
01
10
11
00
11
10
11
00
11
00
01
01
10
10
00
00
11
00
00
10
00
00
01
11
10
00
00
10
00
00
10
11
01
00
11
01
10
00
10
10
01
11
10
11
00
00
00
10
00
00
01
11
10
10
11
10
01
00
10
11
10
01
00
01
10
00
10
01
00
10
00
00
00
10
11
10
11
10
00
01
10
00
10
01
00
10
10
00
10
10
10
11
10
01
10
11
00
00
11
01
10
11
01
01
10
10
00
00
00
00
11
10
00
01
00
00
10
10
00
00
11
10
11
01
10
00
10
11
10
01
01
11
00
11
10
00
11
10
10
00
10
11
11
00
01
01
10
10
00
00
11
10
10
00
01
10
00
00
01
00
11
10
00
00
10
10
10
01
10
11
00
10
00
11
00
00
01
10
01
00
01
10
10
10
01
10
10
00
10
10
11
10
00
01
00
10
10
10
00
10
10
10
10
00
10
11
10
00
01
11
00
10
11
10
00
11
01
01
10
10
01
00
11
11
10
10
01
01
10
11
00
00
10
10
00
00
00
10
10
10
10
00
11
11
01
00
01
00
11
00
10
11
00
01
10
00
00
10
10
11
11
10
01
00
11
01
10
11
00
00
00
10
10
01
11
11
10
01
01
01
11
10
01
00
10
00
01
11
10
11
00
10
10
01
10
11
10
11
10
00
01
11
10
00
00
10
00
00
10
00
10
10
10
10
10
11
11
00
10
10
10
11
10
01
01
10
10
10
10
11
00
00
10
00
10
10
00
00
00
10
10
11
10
10
10
10
00
11
11
10
01
00
10
00
00
10
00
00
01
10
11
11
01
01
00
00
00
00
10
00
01
01
10
10
10
10
00
01
11
10
11
10
00
11
10
01
00
10
10
10
11
01
00
11
10
11
01
10
00
01
10
11
11
01
10
10
10
01
11
10
10
00
10
10
11
11
01
01
11
00
10
10
10
01
00
10
10
10
00
10
11
00
01
00
11
00
10
11
00
01
10
10
00
11
10
01
11
00
11
01
01
10
01
10
00
01
11
10
00
01
00
00
10
00
00
00
10
10
10
00
01
11
10
11
10
00
10
10
11
10
00
00
01
00
10
10
10
10
01
10
00
00
10
01
10
01
10
10
00
01
10
10
10
00
00
10
00
00
00
00
10
10
11
11
00
01
00
00
00
00
10
11
00
01
01
10
00
01
11
00
10
00
11
00
11
10
11
00
10
10
00
10
00
10
11
01
00
00
10
11
10
00
01
10
10
00
00
00
00
10
10
01
11
11
11
00
10
11
01
00
11
10
11
10
11
11
01
01
00
00
10
00
01
01
11
11
01
10
00
01
00
00
10
10
00
01
11
00
00
00
10
10
00
10
00
01
10
10
10
10
01
11
10
00
00
00
01
11
11
00
11
10
10
10
01
10
10
10
00
10
11
01
10
00
00
11
00
01
00
11
00
10
00
01
10
10
01
10
10
10
10
00
01
10
00
00
10
10
10
01
00
00
10
10
00
00
01
11
01
11
10
00
11
01
01
11
10
00
10
10
01
10
11
01
10
11
00
10
00
00
10
10
00
01
00
00
10
10
10
11
10
11
00
01
10
11
01
00
10
10
01
10
01
00
10
00
01
00
11
00
01
01
10
00
00
11
11
10
01
10
11
10
00
00
10
10
10
10
00
00
00
11
10
00
11
01
01
11
11
00
00
10
11
10
01
01
11
10
00
10
10
00
00
10
11
11
10
01
00
01
00
11
10
10
11
01
01
11
00
11
00
00
01
00
11
11
10
01
00
01
10
01
00
10
10
11
11
00
00
10
10
10
11
10
00
10
00
00
10
10
11
00
00
00
10
00
11
10
00
11
11
00
10
01
00
01
00
11
10
00
10
10
10
00
11
10
10
00
00
00
01
10
01
10
00
00
01
11
00
01
10
01
00
01
10
10
01
00
10
10
00
10
01
01
10
00
01
10
11
10
01
00
00
11
10
00
10
10
00
10
00
00
10
10
10
11
00
00
00
10
11
10
11
00
10
10
11
10
01
10
11
01
00
00
10
10
00
00
00
00
11
11
11
10
11
00
00
10
00
11
00
10
10
00
10
10
10
01
00
01
00
11
11
10
00
01
10
00
10
10
01
10
11
10
00
00
10
10
11
00
01
10
10
00
00
01
10
10
00
01
10
10
11
01
11
10
01
10
00
10
00
11
01
00
00
01
10
10
00
00
11
00
00
01
10
10
00
10
01
00
10
10
00
01
01
00
11
10
00
10
10
11
00
00
10
11
10
00
11
00
01
10
00
01
11
00
11
10
01
11
10
11
00
00
01
00
11
01
10
10
00
10
00
10
10
00
10
10
00
10
10
00
10
10
11
00
01
11
11
10
00
10
10
01
01
01
11
10
00
01
00
10
00
10
01
00
10
10
00
10
00
11
10
11
00
10
11
10
01
01
00
10
00
11
10
10
01
01
10
10
01
10
10
10
00
10
00
01
00
10
10
01
00
00
11
00
00
01
11
10
01
01
00
10
10
00
10
10
00
10
10
10
10
00
10
01
00
00
11
01
11
10
00
00
01
11
10
10
00
10
00
00
11
00
10
11
00
01
00
00
00
10
10
00
10
10
10
00
00
01
11
11
11
11
00
00
10
11
10
00
00
10
01
00
10
11
11
10
01
00
00
10
00
10
00
11
10
10
11
10
10
11
00
00
01
10
10
01
00
11
10
00
01
11
10
10
11
10
00
01
01
01
00
00
11
10
01
00
10
10
11
00
01
00
11
10
01
10
10
00
10
00
01
01
10
10
01
00
10
00
00
11
10
01
00
11
00
01
00
00
10
11
10
00
10
10
00
01
10
01
00
00
00
10
10
00
01
10
10
10
01
00
10
11
00
00
00
10
10
10
00
00
11
10
10
00
01
10
11
01
10
01
01
00
10
01
00
10
10
11
00
10
01
01
10
00
00
10
11
11
00
11
01
01
11
00
00
10
10
00
11
10
11
00
11
00
11
00
11
10
01
11
01
01
10
00
10
11
00
00
11
00
00
10
10
10
00
00
11
10
11
01
01
01
00
10
10
00
00
00
10
00
01
00
10
00
00
10
11
10
00
10
00
10
10
01
10
11
01
01
00
10
10
11
00
00
10
10
00
11
11
00
11
10
11
01
00
01
11
01
00
10
00
10
01
00
00
10
10
11
10
00
10
11
11
10
00
00
00
10
11
11
11
00
00
00
00
11
10
10
01
10
11
00
11
01
11
01
10
01
00
00
11
00
01
10
01
00
01
01
10
10
10
01
10
01
00
10
10
00
11
11
00
11
01
00
10
00
11
00
01
11
10
00
00
01
11
10
00
10
00
10
11
00
01
01
11
10
01
01
01
10
10
11
00
10
10
10
01
00
10
01
00
00
00
10
10
00
00
01
10
10
00
10
00
01
11
11
10
00
01
11
10
01
00
00
00
00
10
10
00
01
10
10
10
10
11
00
10
00
00
10
11
01
00
10
10
00
11
00
01
10
00
10
11
00
00
00
00
01
11
11
00
10
11
00
10
00
01
10
01
11
10
10
01
10
00
00
11
11
00
10
11
10
01
00
00
10
10
00
00
10
10
00
01
10
01
00
10
01
10
11
11
10
00
00
00
11
01
00
01
11
11
00
10
10
00
00
00
10
10
01
00
01
10
11
00
00
10
11
00
01
01
10
00
10
10
10
10
00
00
10
10
10
00
10
01
00
10
11
10
10
00
00
01
11
10
11
00
10
00
00
00
11
00
00
00
11
10
11
10
11
00
11
00
00
10
10
10
00
00
11
10
00
00
00
00
11
10
10
01
10
10
10
11
00
10
01
00
11
10
00
10
10
10
01
11
00
01
10
10
10
01
10
11
11
01
10
00
10
10
00
00
10
11
10
00
00
11
10
00
00
11
10
10
01
00
00
01
10
00
00
11
11
10
11
10
11
00
10
10
00
00
11
01
10
11
00
10
00
10
11
01
00
01
10
00
11
10
01
00
00
01
00
11
10
00
00
10
10
10
10
00
01
10
00
00
10
00
11
00
00
10
00
11
01
10
11
01
10
00
10
10
00
10
01
00
01
10
11
00
10
01
10
10
11
00
11
01
00
00
00
10
10
01
01
01
01
10
11
10
00
00
00
10
11
10
00
11
01
00
00
10
00
01
11
10
10
10
00
00
01
00
10
10
00
10
10
00
10
01
00
11
00
01
11
00
00
00
10
01
10
10
01
00
11
00
01
01
10
10
01
10
00
01
10
10
11
10
10
00
10
00
01
11
00
10
01
11
10
00
00
10
10
10
11
00
11
01
10
11
00
11
11
10
00
01
11
11
00
00
10
11
00
00
11
10
10
11
10
00
01
00
11
11
01
11
10
01
01
01
00
00
10
10
01
01
00
11
10
00
00
01
10
10
10
00
00
11
01
00
01
00
11
10
00
00
00
11
10
00
01
00
10
11
00
01
10
10
10
11
00
01
10
00
01
11
11
11
00
00
00
11
01
01
10
00
01
11
01
00
11
10
00
00
00
00
10
00
00
00
10
10
10
01
00
00
00
10
11
00
10
00
10
11
00
00
11
10
00
01
00
00
11
10
11
10
11
01
00
11
00
11
00
10
10
00
00
11
01
01
00
11
10
10
11
00
01
11
11
10
10
11
00
00
01
01
10
10
01
00
11
00
10
11
00
00
10
10
00
10
10
00
11
10
10
10
10
10
10
00
00
00
00
10
00
11
10
11
11
00
01
11
10
01
00
10
10
00
00
10
11
01
00
11
11
00
11
00
01
00
00
11
10
10
00
00
10
00
00
01
00
10
10
00
01
10
10
00
11
00
00
10
10
01
11
00
11
01
11
01
11
01
00
11
10
00
10
11
00
01
11
00
11
00
10
00
11
10
10
11
00
00
10
10
01
00
10
10
00
10
00
10
10
00
00
00
00
10
01
00
10
11
10
11
00
10
11
00
01
00
10
10
10
00
11
10
00
00
01
11
01
11
10
00
10
10
01
00
10
10
01
00
10
01
01
10
00
00
10
10
01
00
10
11
11
10
00
01
10
11
10
10
01
00
00
10
00
00
10
01
00
01
10
01
01
10
10
00
10
10
11
00
00
00
10
10
10
11
01
00
11
00
00
00
00
10
11
10
10
00
00
01
00
00
00
11
10
00
10
00
01
01
01
10
10
00
11
10
00
00
10
00
10
00
11
00
01
11
10
10
00
10
11
11
00
11
00
10
11
01
01
01
10
10
10
10
10
00
00
10
00
00
10
10
11
00
00
10
00
00
00
11
11
11
10
00
11
11
01
10
00
01
10
10
00
11
10
10
00
00
10
11
10
11
00
10
10
00
11
11
01
00
10
11
10
11
10
00
00
00
00
01
00
10
00
10
10
00
10
11
10
00
11
00
00
10
11
10
01
10
00
00
00
10
01
11
10
00
00
00
00
11
10
01
00
11
10
00
11
01
10
00
01
11
00
00
10
00
01
00
10
00
00
01
00
00
00
00
01
10
11
00
10
10
10
10
00
01
10
11
10
10
10
00
01
11
10
00
01
10
01
00
00
11
00
10
00
01
10
00
01
01
01
11
10
10
10
01
00
01
10
00
11
10
00
10
11
01
10
00
00
11
10
01
01
11
10
01
10
00
00
10
11
00
11
10
00
10
10
11
00
00
10
11
01
01
10
11
00
00
01
01
10
01
10
00
11
11
10
10
10
00
01
00
10
11
00
10
10
00
01
11
11
01
11
10
10
00
00
11
10
11
00
00
10
11
01
01
10
11
00
11
11
10
00
01
10
10
10
01
11
11
10
00
01
00
11
00
00
10
01
00
10
11
01
00
00
10
10
01
01
11
01
11
10
00
01
10
10
00
00
11
00
01
10
00
10
10
00
00
00
10
10
10
01
00
10
11
01
11
01
00
01
10
10
10
11
00
00
10
10
00
11
00
00
10
00
10
00
00
10
10
00
01
00
01
10
01
00
00
11
01
10
10
01
00
01
00
00
10
11
10
11
10
00
10
10
10
00
00
00
10
10
10
01
00
10
00
00
10
11
10
00
10
00
10
10
11
00
00
00
10
11
10
10
00
00
00
10
11
10
11
00
01
01
10
10
10
01
01
11
01
10
10
00
00
10
11
01
00
10
00
00
10
01
11
00
00
10
00
10
10
00
00
11
01
00
00
11
01
10
10
11
00
11
11
01
11
00
00
10
01
10
01
00
11
01
00
00
01
10
10
11
00
01
10
10
00
10
10
11
10
00
10
11
11
00
11
11
10
01
10
01
00
00
00
00
00
11
11
00
11
10
01
00
00
10
10
00
00
11
11
11
10
00
00
10
11
00
00
11
01
00
00
10
11
00
00
10
01
10
00
10
00
10
11
00
00
01
00
00
10
01
11
11
00
11
10
00
00
10
10
10
00
11
00
11
11
10
00
11
00
00
10
10
00
00
11
10
01
10
10
01
01
10
11
10
00
01
10
00
10
10
00
11
10
01
00
01
10
10
10
00
00
10
10
01
10
01
01
11
00
00
00
00
11
11
01
11
10
01
10
00
10
00
00
10
10
01
00
00
00
00
10
01
00
00
00
00
01
10
10
00
11
10
11
00
10
00
11
01
10
11
00
11
00
10
01
10
11
00
11
10
10
00
01
00
10
00
00
10
10
11
10
11
00
00
10
01
00
10
10
01
11
10
10
01
01
10
01
00
10
00
00
11
10
11
00
01
10
10
00
01
10
11
00
00
10
01
00
10
01
01
10
01
10
10
00
00
10
00
10
10
11
00
10
00
01
11
01
11
00
01
11
00
10
00
01
10
00
00
00
11
10
00
11
11
01
01
00
10
11
11
00
01
10
11
01
00
10
01
00
10
11
01
01
00
10
11
00
10
00
00
01
11
11
10
11
10
10
00
11
01
00
00
01
10
00
00
11
01
00
01
10
11
10
11
10
00
00
10
10
10
10
00
11
10
00
10
10
10
10
01
01
10
01
00
10
10
10
10
01
00
10
10
00
00
10
01
01
01
11
11
00
00
11
00
00
10
11
01
00
00
11
10
00
11
10
00
00
00
11
01
00
10
00
10
10
10
10
00
00
00
00
11
00
01
00
10
00
10
10
00
01
10
00
00
11
10
10
10
00
10
10
10
00
10
10
00
01
01
00
00
10
00
10
00
10
10
10
00
10
00
00
10
00
11
11
01
10
11
00
00
01
10
11
01
00
11
10
01
01
11
01
10
00
00
10
10
11
00
01
10
10
01
01
00
10
00
10
10
11
10
01
00
00
00
00
10
10
00
01
00
01
10
11
10
10
00
00
00
10
10
10
01
10
00
00
00
11
10
10
00
10
10
11
01
01
10
00
11
00
01
10
00
00
10
11
11
00
10
00
01
00
10
11
01
00
10
00
10
10
00
11
10
00
00
10
10
00
01
10
01
10
10
10
10
00
00
10
11
01
00
10
10
00
10
00
01
11
10
01
10
00
10
11
01
00
10
10
10
01
10
00
00
00
11
11
11
10
10
00
01
01
10
11
00
01
10
01
00
11
01
01
10
11
10
00
10
00
11
11
01
00
00
00
00
01
10
00
00
01
11
10
11
00
10
00
00
00
10
11
00
00
10
10
11
01
11
11
00
01
00
00
00
10
11
01
00
11
00
11
10
00
00
11
00
01
10
10
11
10
01
00
01
10
10
10
11
01
00
10
00
00
11
10
11
00
10
10
01
10
10
11
10
00
11
00
00
11
11
01
00
10
10
10
10
10
00
01
10
10
00
10
01
01
00
10
10
00
00
00
01
01
10
10
10
11
10
01
00
11
01
00
01
10
10
00
01
11
10
01
10
00
00
00
00
10
00
01
00
10
10
00
11
10
10
10
00
00
00
11
10
00
00
10
11
01
10
01
00
00
11
01
10
10
01
00
11
00
00
00
10
00
10
10
00
10
01
00
11
10
00
00
00
01
01
00
10
11
01
00
01
10
10
00
01
11
01
10
10
00
10
10
01
10
01
01
10
10
00
10
01
01
10
10
11
01
11
01
10
00
01
11
10
00
01
11
01
01
10
10
01
11
00
00
11
10
11
10
11
00
10
11
01
00
10
00
11
10
00
10
00
00
10
00
10
00
00
00
01
00
10
11
10
10
00
10
10
01
01
10
11
00
11
10
00
00
00
10
10
00
10
00
01
01
01
11
01
11
01
00
00
01
11
11
10
01
10
01
00
11
01
00
10
10
00
00
01
01
10
10
00
10
01
01
10
01
10
00
10
01
00
10
00
10
10
00
10
00
01
00
10
00
10
10
10
10
10
01
00
11
01
10
01
00
11
11
10
10
00
10
11
01
10
00
11
00
01
01
10
01
00
11
01
00
10
11
01
00
11
11
00
10
10
00
00
10
10
11
00
11
01
00
11
00
00
11
10
01
00
10
00
10
00
10
00
01
11
11
01
11
00
11
00
11
11
00
00
10
10
01
10
11
10
00
00
01
01
10
00
00
10
01
00
00
10
01
10
10
01
00
11
00
01
00
10
10
00
10
10
00
00
10
10
01
00
11
10
10
00
00
10
10
11
11
00
00
10
00
11
10
01
00
00
11
01
11
01
10
00
10
10
10
00
11
10
10
10
00
10
00
11
10
00
10
11
10
10
10
10
00
10
01
11
10
10
00
00
00
01
01
10
01
00
00
10
10
00
10
00
10
10
10
10
00
00
10
01
00
00
10
00
10
11
11
00
10
10
00
01
00
01
10
10
10
01
00
11
00
10
10
00
00
10
11
10
01
11
00
01
00
00
11
01
00
00
11
10
00
10
11
01
10
10
00
00
11
11
00
01
10
10
10
10
00
11
10
00
01
11
00
01
00
01
00
11
10
01
10
11
11
00
01
00
00
00
10
10
00
10
00
00
00
00
10
11
00
11
11
01
00
10
00
01
01
00
11
11
00
10
00
00
10
10
00
10
00
00
10
00
11
01
00
10
10
00
10
01
10
10
00
00
10
10
00
00
11
11
10
01
00
00
10
00
10
00
00
01
00
00
01
11
10
01
01
10
10
10
01
11
10
00
00
00
11
10
01
00
00
10
10
00
10
00
11
00
00
00
00
00
11
10
00
10
01
00
10
01
10
10
10
00
00
10
00
10
11
00
00
01
11
10
00
00
11
11
00
00
10
11
10
10
10
01
00
00
10
10
10
00
10
00
10
01
10
10
11
00
01
11
00
10
10
00
10
11
11
01
11
10
00
10
00
11
01
01
11
11
01
01
01
11
01
00
10
00
10
10
00
00
10
00
10
10
10
11
10
11
11
01
00
10
10
11
01
01
00
00
11
11
00
00
10
10
11
11
01
01
00
00
10
00
10
00
00
10
10
00
10
10
10
01
00
00
10
10
01
10
10
01
10
10
00
00
11
00
11
10
00
01
10
00
00
11
10
11
10
01
10
00
00
11
00
01
00
11
00
00
10
00
10
10
00
00
10
10
00
01
11
01
11
00
10
00
00
00
11
01
00
11
11
11
00
01
00
11
10
01
11
00
00
10
10
00
10
00
01
11
00
10
00
00
00
00
00
01
01
01
10
00
11
01
00
11
00
11
10
00
10
11
00
01
10
11
10
00
10
00
00
00
00
10
11
00
00
10
00
00
11
00
01
10
11
00
11
00
10
10
00
11
10
11
00
00
00
00
00
10
10
01
10
10
10
00
10
01
10
11
10
00
00
11
00
01
10
11
01
01
01
01
11
01
11
11
01
00
10
10
00
10
00
01
10
11
10
11
10
00
00
00
00
10
01
10
10
01
00
11
00
11
10
11
01
00
10
10
00
00
10
00
01
10
10
10
10
00
01
00
10
10
01
10
00
10
10
11
00
00
01
00
01
10
00
00
00
00
10
00
01
00
11
00
00
10
01
10
00
10
11
10
01
00
10
10
00
10
00
11
10
11
00
10
10
10
10
00
00
01
11
10
10
10
01
11
10
10
00
00
11
11
00
00
10
00
01
00
10
11
00
10
11
01
01
10
00
01
10
00
11
10
01
00
00
10
10
10
00
11
10
01
00
00
10
01
00
00
00
10
10
00
11
10
00
00
00
00
00
10
00
10
10
01
01
11
10
00
00
11
10
01
00
10
11
00
11
00
00
11
11
01
00
00
10
00
10
00
01
10
01
10
10
10
11
00
10
00
00
01
10
01
01
00
00
10
00
11
10
00
00
10
01
10
10
10
00
01
10
00
01
11
10
11
00
10
01
11
00
01
00
10
11
01
10
10
10
11
00
00
00
00
10
10
00
00
01
01
01
00
10
00
00
11
01
01
11
11
11
00
01
10
01
01
10
10
00
10
10
10
00
11
10
11
11
11
10
10
01
11
01
10
10
01
00
10
11
00
01
10
01
00
00
01
11
10
10
00
00
01
11
01
00
00
01
00
10
10
10
00
00
10
11
00
00
10
11
10
11
11
00
01
10
10
01
01
10
00
10
00
11
00
01
11
01
00
01
00
11
10
00
00
11
01
00
10
10
00
10
00
01
10
01
10
00
10
00
11
01
00
11
10
00
10
01
00
00
11
11
10
10
11
00
11
00
00
10
11
00
00
10
11
00
00
01
10
11
11
00
01
00
10
11
10
00
10
10
00
10
01
10
11
00
10
10
00
01
10
11
01
10
10
01
00
00
01
10
11
00
10
10
11
00
00
01
00
11
10
00
10
10
01
00
10
00
00
01
11
01
00
00
00
00
10
01
10
11
01
00
10
10
00
00
00
00
10
11
00
00
11
00
00
01
10
10
10
00
00
10
00
00
00
10
10
10
01
10
01
00
10
00
10
00
01
10
10
00
10
01
00
00
11
11
10
00
10
01
01
01
01
10
10
10
01
10
10
01
01
10
00
00
01
10
10
10
10
01
00
10
10
01
00
10
00
01
10
11
10
10
00
00
00
10
00
01
01
10
10
10
00
11
00
00
00
01
10
10
00
10
10
10
10
00
00
00
10
10
10
10
11
01
00
00
10
00
10
11
11
00
01
00
00
11
10
10
10
01
10
11
11
00
10
11
00
10
00
01
10
11
01
10
00
00
00
01
10
11
10
11
00
01
00
00
10
10
01
01
11
10
11
00
00
00
10
01
00
10
10
00
00
00
10
10
00
00
10
00
00
11
10
10
10
00
00
10
10
10
11
11
01
01
01
01
01
11
10
00
10
01
00
01
10
10
10
00
00
00
00
11
10
10
10
10
10
00
00
11
00
01
10
11
01
00
10
01
00
10
00
00
10
10
01
00
10
10
10
11
01
10
00
01
10
00
11
10
01
00
01
01
01
11
01
10
10
00
00
10
01
01
11
10
10
00
00
10
11
00
01
00
00
00
11
01
01
10
11
00
01
11
00
00
11
00
10
00
01
10
11
10
10
01
00
00
10
10
00
10
10
10
01
10
00
01
10
10
01
00
00
11
11
11
01
10
00
00
00
01
11
10
00
01
10
01
00
01
11
10
00
01
01
10
00
00
10
10
00
00
00
10
00
00
00
11
01
10
10
00
01
00
11
01
00
00
10
10
00
10
10
00
10
00
00
10
00
10
00
00
10
00
00
00
01
00
11
01
01
11
10
00
00
00
11
00
00
10
10
10
11
10
00
00
10
10
11
00
01
11
10
11
10
01
00
01
11
11
11
00
10
10
00
00
00
01
11
10
00
10
00
00
01
10
11
10
00
00
01
01
00
00
10
00
10
00
00
00
10
00
10
01
10
00
01
10
01
00
01
11
10
00
01
11
10
11
01
10
10
11
10
01
01
00
00
10
10
01
10
11
10
01
01
00
11
01
10
10
01
00
00
01
10
00
01
00
00
00
00
10
00
01
11
10
00
00
11
00
01
00
01
11
10
00
10
10
01
00
11
10
00
00
01
10
11
00
00
10
11
00
00
11
00
00
11
10
01
11
01
11
10
10
00
11
00
00
10
00
00
10
00
11
00
00
10
10
10
01
00
10
10
00
10
10
10
00
00
00
11
10
10
11
11
10
00
00
10
00
01
10
01
11
10
10
10
10
01
00
11
10
01
00
00
00
10
11
01
10
10
10
00
11
00
10
11
10
10
11
01
00
10
10
10
11
01
11
11
00
00
00
00
01
10
10
00
00
00
11
11
01
00
10
00
10
00
10
10
00
01
00
00
00
00
10
10
11
01
10
00
00
10
00
10
00
10
10
01
10
10
10
10
00
01
00
10
10
00
00
00
00
01
11
00
11
10
10
00
11
10
10
11
01
00
10
11
10
11
10
00
10
01
11
10
10
00
00
10
00
10
00
10
10
01
10
00
01
11
01
10
00
01
10
10
10
01
01
00
00
11
10
10
00
10
11
00
00
00
10
00
00
00
11
10
01
11
10
11
10
10
10
11
10
00
10
11
10
00
10
10
00
10
10
00
01
00
01
00
10
10
01
11
01
11
11
10
10
01
01
11
10
00
01
01
11
00
01
10
00
11
01
01
10
10
00
10
10
00
10
00
11
10
00
11
01
10
11
11
01
00
00
11
10
00
00
00
10
00
01
10
01
00
10
01
11
00
00
10
10
00
00
00
10
00
00
10
00
01
01
10
00
00
10
10
10
00
10
10
00
10
00
10
00
10
00
00
10
10
00
00
01
10
10
10
10
11
01
01
00
10
01
10
10
00
00
10
10
11
10
01
00
00
01
10
10
01
10
11
01
01
11
00
10
01
10
00
00
10
10
10
00
10
01
00
10
00
00
00
00
01
11
00
10
01
00
01
10
11
00
00
10
10
11
00
01
00
00
10
00
10
10
10
01
00
11
11
10
00
10
10
00
11
10
00
10
10
01
10
10
00
00
00
11
10
01
00
10
10
00
00
11
00
10
11
11
00
10
10
00
11
10
10
10
11
10
11
10
00
00
10
01
01
01
11
10
11
10
00
11
11
00
00
01
11
10
10
00
10
00
01
11
00
10
10
01
00
00
11
10
11
10
10
00
10
10
00
10
11
00
01
10
10
00
10
00
00
11
10
11
00
10
11
01
01
00
11
10
10
10
00
00
11
10
10
00
11
11
00
01
00
10
00
10
10
00
11
10
01
00
11
10
10
00
00
01
00
10
10
10
00
00
00
10
00
10
10
00
01
10
11
00
01
10
00
01
00
10
11
01
00
00
10
11
00
10
10
10
10
10
00
00
00
00
11
01
10
10
00
11
01
10
11
00
10
10
00
10
00
00
10
00
01
10
10
11
01
10
10
01
10
00
11
10
00
01
10
00
10
11
11
10
00
00
11
01
00
00
10
10
10
10
00
00
10
10
10
00
00
01
00
10
01
01
10
00
10
10
01
10
11
10
11
01
10
01
00
10
10
01
00
01
01
10
01
01
01
10
11
00
00
10
10
00
00
00
11
10
10
10
01
11
10
00
01
11
10
10
01
01
11
10
00
10
00
10
11
11
11
11
01
11
10
10
10
10
01
00
01
10
11
10
10
00
00
11
00
10
10
00
10
10
01
00
11
00
01
10
00
00
11
00
00
11
01
10
11
10
00
11
10
01
01
00
10
11
00
01
01
11
00
10
11
00
10
10
00
11
10
00
00
10
11
00
10
00
01
10
00
10
10
00
10
00
01
00
00
11
00
00
10
00
01
10
00
00
01
10
10
01
10
01
11
00
01
00
11
10
01
11
00
00
10
01
00
00
10
01
00
10
00
00
11
10
00
11
00
10
10
00
01
10
11
10
01
00
00
10
11
00
00
11
00
00
00
00
10
10
00
10
10
01
00
11
00
00
01
00
00
11
00
00
10
11
10
11
10
01
10
10
00
00
00
10
11
00
00
10
10
00
10
11
00
10
00
11
00
00
10
10
10
01
01
11
10
01
10
01
11
00
10
10
00
00
01
11
01
00
11
00
00
01
11
00
01
11
10
11
11
10
00
10
10
00
01
10
10
11
10
11
00
10
11
10
00
01
11
00
00
11
10
10
11
10
01
00
10
00
10
10
00
01
10
11
00
11
11
11
11
01
00
11
10
00
10
10
10
00
01
10
10
10
11
10
00
00
00
00
10
11
00
11
10
00
10
10
11
00
00
10
10
00
00
10
00
01
00
00
10
11
00
11
10
00
00
00
00
10
00
00
00
10
11
11
01
10
11
10
10
10
00
00
11
00
01
10
11
10
00
10
10
00
00
10
10
00
01
01
10
01
00
10
10
10
00
01
00
10
00
01
01
01
00
10
00
00
00
10
10
00
11
11
00
10
10
11
01
10
10
10
01
00
11
00
00
00
11
10
10
00
00
11
00
10
00
11
10
01
10
11
11
01
10
11
10
00
11
00
00
01
01
11
01
10
10
00
00
10
01
00
10
00
11
10
01
00
10
11
10
10
00
00
10
00
10
00
11
10
10
10
10
00
01
00
00
10
10
01
01
01
10
10
10
00
10
00
01
10
10
00
10
11
00
00
11
11
11
00
00
10
11
00
10
00
10
00
10
10
11
01
00
11
10
00
10
00
00
10
00
11
01
00
01
11
00
00
00
10
11
00
11
00
00
00
11
00
10
00
00
00
11
00
01
11
10
11
10
10
00
01
10
01
11
10
00
10
11
00
11
11
00
00
11
00
10
10
00
00
01
10
11
00
10
10
01
00
10
00
10
00
00
00
00
01
10
11
01
11
00
10
00
10
10
00
10
11
01
00
10
11
00
01
11
00
10
11
00
00
00
10
00
10
10
01
10
10
00
01
10
10
11
10
00
00
10
11
01
00
00
00
10
11
11
00
10
10
00
00
00
10
00
11
00
00
10
00
01
10
11
10
00
00
00
00
10
00
00
10
01
01
00
10
00
11
01
01
01
10
01
00
11
11
01
01
10
11
11
10
10
01
00
10
00
01
01
00
01
00
00
01
11
10
10
01
01
00
11
10
10
10
01
01
00
10
11
01
10
11
00
01
11
10
11
01
00
11
00
10
00
01
00
10
00
01
11
00
10
10
10
01
00
00
00
01
10
11
00
01
10
00
11
10
10
00
10
01
10
10
10
10
01
10
10
01
01
00
01
11
10
00
10
01
01
10
10
00
11
10
10
01
10
10
10
11
11
10
00
00
01
10
00
01
10
11
00
10
01
01
10
10
11
01
00
00
10
10
11
11
00
11
10
11
00
11
10
00
01
00
11
10
10
00
01
10
10
01
00
11
10
00
10
10
00
00
11
10
00
01
11
00
00
10
11
00
00
10
00
00
10
00
01
10
00
00
11
10
01
11
11
10
00
00
00
10
10
11
00
00
01
10
10
11
00
01
00
10
10
00
00
10
01
00
00
10
10
10
00
10
00
01
10
10
00
10
00
01
11
01
10
10
01
00
10
10
00
10
00
10
01
11
10
11
10
01
00
11
10
01
00
10
00
01
10
11
00
00
10
10
00
00
00
10
10
00
00
00
00
10
11
01
11
11
11
10
10
01
10
00
00
00
00
10
10
11
01
01
10
10
01
00
11
10
00
00
10
10
10
11
11
10
10
10
00
10
11
00
01
00
00
11
10
10
00
00
10
10
00
01
00
00
10
11
01
00
11
10
00
00
00
00
11
00
00
00
00
10
01
00
11
01
10
01
10
00
11
10
10
01
00
11
01
10
10
01
11
11
01
01
00
10
00
01
10
11
10
00
10
11
00
01
00
11
10
10
10
11
01
00
10
10
01
01
00
11
10
01
10
00
00
10
10
00
00
10
10
11
00
11
10
00
00
10
00
01
00
00
10
10
10
10
10
10
00
00
10
01
10
10
11
00
11
00
10
10
01
10
00
01
01
10
10
00
10
01
00
10
00
00
00
01
10
00
10
00
00
00
00
10
10
10
00
00
11
01
11
10
10
00
01
00
11
10
00
00
11
11
00
00
10
10
01
11
10
00
11
01
10
01
00
10
00
11
10
00
00
00
01
10
10
01
01
11
10
00
11
10
10
11
00
00
00
00
01
00
01
10
01
11
00
10
10
00
00
11
11
11
00
01
00
10
00
00
10
10
11
00
00
11
00
10
11
00
11
00
00
11
01
01
10
01
00
11
00
00
10
00
11
00
00
10
10
00
00
00
11
00
01
10
10
10
10
10
00
00
10
01
00
10
00
01
10
10
10
10
10
11
00
00
01
10
10
10
00
01
01
10
11
10
00
00
11
10
00
10
10
00
10
00
11
10
00
00
10
11
00
00
00
00
00
10
11
01
00
11
10
10
10
10
01
10
11
01
00
10
10
10
01
00
11
00
00
10
01
11
00
00
11
01
10
11
10
10
01
00
10
10
11
00
10
00
01
11
10
10
10
00
11
00
01
10
10
01
01
01
10
11
00
00
10
11
10
00
11
10
11
11
00
01
00
10
00
00
00
00
00
11
00
10
11
01
10
10
01
01
11
00
00
10
10
00
01
11
11
10
10
00
00
00
11
10
00
00
10
11
00
10
00
00
10
01
10
10
10
00
00
10
10
10
00
00
11
00
10
11
00
01
00
00
10
11
00
10
01
01
10
00
10
11
01
00
10
11
01
01
00
11
00
01
10
00
00
00
10
10
10
10
11
00
00
10
01
10
10
11
01
10
10
11
00
10
11
00
01
01
00
10
00
10
01
00
10
00
01
11
11
00
01
11
00
10
10
01
01
01
10
10
10
10
10
00
01
10
00
00
10
01
11
10
11
00
00
10
10
00
00
00
10
10
00
00
10
10
10
00
10
00
01
10
01
10
10
10
01
10
11
11
00
01
11
10
11
00
10
00
00
10
10
01
00
10
00
11
00
00
01
01
10
10
01
01
10
01
11
11
00
01
00
11
10
10
01
10
11
01
10
01
00
10
10
10
01
10
10
00
10
00
10
10
10
00
01
11
01
10
10
10
00
10
10
01
01
11
10
11
10
01
10
10
10
01
11
10
01
00
10
00
11
00
00
11
10
10
11
10
01
10
10
10
10
10
01
00
11
01
01
11
00
11
00
10
10
00
01
00
00
11
00
10
01
11
10
11
10
10
01
00
01
00
10
11
00
00
10
10
00
00
01
10
00
00
00
01
10
01
00
10
10
10
11
00
11
00
10
11
00
00
00
00
11
00
11
11
11
00
10
00
00
11
00
00
00
00
10
00
00
00
01
11
00
01
00
01
00
10
10
00
00
10
00
01
10
00
00
11
00
10
11
11
11
10
10
00
00
01
01
00
01
11
10
00
00
11
00
00
11
10
01
10
00
10
10
01
00
01
11
00
01
00
00
11
10
00
10
10
00
10
10
10
10
11
01
11
01
10
01
00
00
00
10
10
00
01
11
01
00
00
11
10
00
01
11
10
00
10
01
00
10
01
10
10
10
00
10
10
00
00
11
10
10
10
00
00
01
10
11
11
00
11
10
11
00
00
00
10
01
00
01
11
10
00
00
01
00
10
11
01
01
00
00
10
11
11
00
01
10
10
10
10
11
00
01
10
01
00
00
10
01
01
11
10
00
00
10
11
00
00
10
00
00
00
10
00
10
10
00
00
00
00
01
00
00
00
10
00
11
00
11
00
01
11
10
00
00
00
10
11
00
00
00
10
11
11
10
00
10
01
01
00
11
10
00
00
01
10
01
11
00
10
00
11
10
11
00
00
00
10
00
00
00
11
10
00
00
01
00
00
10
11
10
11
11
11
00
10
00
01
01
10
10
10
00
00
11
00
00
10
11
00
01
01
10
10
00
10
11
10
00
01
11
11
10
00
01
11
01
01
11
11
10
01
00
11
10
10
00
01
01
00
11
10
01
11
10
00
10
00
01
00
10
11
00
10
11
00
10
11
10
00
10
10
10
11
11
10
00
00
11
10
10
00
01
00
10
00
00
00
10
00
10
10
01
01
00
10
00
10
10
00
00
00
00
00
00
00
11
00
11
11
10
00
00
01
00
00
00
11
01
01
11
10
01
01
10
11
00
01
10
10
00
01
00
10
10
01
01
10
10
01
00
10
11
00
01
00
00
10
10
10
10
11
01
01
10
11
00
01
00
01
01
00
11
00
11
10
01
10
11
00
00
10
11
00
00
00
00
01
01
00
10
11
01
10
11
10
00
11
10
01
00
00
10
10
11
00
00
10
10
00
10
01
00
01
00
00
00
00
00
00
10
11
10
00
10
00
11
10
11
00
00
01
01
00
10
11
01
00
00
11
11
01
10
10
00
01
10
00
10
11
00
00
10
11
01
11
10
00
00
10
11
10
01
00
01
00
00
00
11
10
01
10
00
00
01
10
00
00
11
10
00
00
10
01
10
00
00
00
11
01
00
10
11
01
00
00
10
01
00
10
10
10
10
00
01
00
00
10
01
01
11
01
00
10
10
11
10
00
00
11
00
00
01
10
10
10
11
11
01
11
10
00
10
01
10
00
01
11
11
10
10
01
01
10
11
01
00
00
10
10
11
10
01
00
00
00
10
10
10
11
01
10
10
00
00
10
00
00
01
10
00
11
10
10
01
10
00
00
10
10
00
00
01
11
11
00
10
00
11
00
00
10
10
00
11
01
01
00
01
00
10
11
00
10
10
01
10
10
11
00
00
11
01
10
00
01
10
01
10
10
10
00
00
00
10
00
00
10
11
00
10
11
00
00
01
01
00
10
00
11
10
11
00
00
00
00
11
10
00
10
11
01
10
10
10
01
10
01
00
01
10
10
10
01
10
01
10
00
11
10
01
01
00
10
00
00
11
10
10
00
01
00
10
11
00
10
10
10
00
10
10
10
11
00
01
00
11
01
10
10
10
10
10
10
00
01
00
10
00
10
10
11
11
01
10
01
00
11
10
11
11
01
00
11
10
01
10
01
10
11
11
00
10
01
01
10
11
01
00
11
01
11
01
00
11
11
00
11
10
01
10
11
01
00
01
10
10
10
11
00
00
10
10
00
01
10
10
01
00
00
00
10
11
10
00
01
11
00
01
01
01
01
10
11
00
00
11
10
00
10
10
00
10
00
00
00
10
10
01
10
01
10
01
01
00
11
00
11
10
00
00
11
10
00
00
10
00
00
10
01
01
00
10
10
01
10
10
01
10
01
01
11
00
10
01
00
00
10
00
00
00
00
10
11
11
11
11
01
10
01
01
01
11
11
00
00
01
10
01
00
10
01
00
11
00
01
10
11
00
10
10
00
10
11
00
11
01
00
11
10
11
11
10
00
00
10
00
00
10
11
10
00
01
11
10
10
00
10
10
00
11
00
00
00
11
01
00
10
11
10
00
01
10
10
10
10
00
11
11
11
00
01
10
01
10
10
00
11
00
00
10
10
10
00
10
01
10
11
10
01
00
01
10
00
10
10
01
01
00
10
01
00
10
10
10
00
00
00
10
10
00
01
00
00
00
00
11
01
00
10
10
10
00
10
10
00
00
00
10
10
11
01
00
10
10
10
10
10
00
10
00
01
10
10
11
00
10
00
01
10
10
00
00
00
10
10
00
11
10
10
01
00
10
01
00
00
00
01
10
10
00
10
10
11
10
11
10
01
01
01
10
11
00
10
01
11
01
00
11
00
01
10
10
01
00
00
10
10
00
10
01
11
01
00
10
01
01
00
10
10
00
10
10
00
00
11
00
00
01
01
11
10
01
01
10
10
01
10
10
00
10
01
11
11
01
01
00
00
11
00
11
11
00
00
10
11
10
00
11
10
10
11
01
00
10
00
01
10
11
00
11
01
01
11
10
10
01
10
10
01
00
10
10
11
00
01
10
10
00
00
10
00
00
10
10
10
00
01
11
11
01
10
11
00
11
10
01
00
00
00
11
00
01
10
10
00
00
10
10
10
00
00
00
00
01
10
00
00
11
01
00
00
10
10
01
01
01
11
10
00
00
01
10
01
00
00
10
00
11
10
00
11
01
01
10
10
10
10
00
00
10
11
10
11
00
00
00
10
00
11
01
00
10
11
01
11
10
01
10
01
10
00
11
10
11
01
00
11
01
00
10
10
00
00
00
10
10
01
00
01
00
00
00
10
00
10
00
00
00
11
10
11
01
01
10
10
11
11
10
10
01
11
11
00
00
00
10
00
10
10
01
11
11
10
01
00
10
10
00
10
00
10
10
00
11
00
01
10
01
00
11
00
10
10
01
10
11
00
00
10
11
11
10
01
01
10
00
00
00
00
10
10
01
10
11
01
00
10
01
11
10
00
01
00
00
00
00
00
10
00
00
10
11
10
11
11
10
11
01
00
10
10
01
01
11
10
10
11
10
11
00
00
10
10
01
00
10
10
11
10
10
11
01
00
00
00
10
10
00
00
00
11
10
01
00
10
11
00
00
10
10
00
00
00
10
00
11
10
00
11
00
00
00
00
00
00
00
11
00
00
00
10
10
01
11
10
11
00
10
11
00
01
00
01
10
10
00
00
01
01
01
10
01
00
10
01
11
00
01
00
11
00
11
10
10
00
00
10
10
10
00
10
10
00
00
10
00
11
11
01
10
10
11
10
00
00
10
10
10
11
00
00
11
00
00
10
00
00
00
01
10
01
10
10
10
10
00
10
01
10
00
00
01
10
01
00
10
00
10
00
00
00
00
11
10
00
11
10
10
10
11
01
00
00
10
01
00
10
01
00
00
10
00
11
01
01
10
10
10
10
10
00
11
11
01
01
11
10
00
00
10
10
00
01
11
10
01
10
00
00
11
10
00
00
10
11
01
01
00
11
10
01
10
11
00
11
00
00
01
01
00
00
10
11
11
00
00
10
11
11
10
01
10
11
10
10
00
10
10
00
00
10
10
00
00
10
10
01
01
00
10
00
11
11
10
11
01
00
00
00
00
00
00
11
00
00
10
10
10
01
10
00
10
00
00
00
00
11
10
10
00
00
00
10
11
10
10
10
11
00
00
10
10
10
00
01
01
10
00
11
00
01
11
01
10
11
01
10
01
00
10
01
10
10
00
01
10
10
00
11
01
10
11
10
10
00
00
00
00
00
10
11
11
11
00
00
10
10
00
00
10
10
01
10
10
01
00
11
00
00
00
01
00
01
00
11
10
10
00
10
00
01
00
10
00
00
11
01
10
00
00
00
01
11
00
00
10
00
00
10
00
00
11
00
10
11
00
00
00
00
00
00
10
11
11
00
11
10
00
00
10
10
11
00
00
00
01
00
01
00
01
01
00
10
10
10
10
01
01
00
10
11
10
10
00
00
10
10
10
01
01
00
00
10
00
00
10
00
10
10
11
10
01
00
01
01
10
00
00
10
11
10
01
10
10
01
10
11
11
11
01
00
01
00
10
11
10
00
00
11
10
01
00
11
11
10
10
10
00
00
00
10
11
11
10
00
00
01
10
11
10
00
10
00
11
01
01
00
01
00
10
01
10
00
11
11
01
10
01
10
11
10
11
10
00
10
00
00
11
10
10
11
00
00
10
00
11
10
10
00
11
00
01
01
10
10
11
11
11
00
10
10
10
10
01
00
10
01
00
11
00
10
11
00
10
11
01
00
10
11
10
00
00
00
10
10
00
01
00
11
10
11
00
10
01
10
11
00
00
10
10
10
10
01
00
00
00
00
11
01
01
10
11
00
01
00
11
10
01
00
11
10
00
11
01
01
10
01
01
10
10
11
00
00
10
10
10
00
01
01
11
11
11
01
11
10
00
00
10
10
00
01
10
00
11
00
11
01
10
10
00
00
00
01
10
11
10
01
01
10
10
00
10
11
10
01
00
00
00
00
01
11
10
00
10
00
10
00
00
11
10
00
00
00
10
01
10
11
10
01
10
00
01
10
11
01
00
11
10
00
00
10
10
10
10
01
01
00
10
01
11
11
10
00
10
00
01
10
00
00
10
10
00
01
10
00
00
10
01
11
00
01
10
00
00
00
10
00
00
10
10
10
01
10
01
01
00
10
00
00
10
11
01
10
00
01
10
00
00
10
00
00
00
00
00
10
00
00
10
01
10
00
00
11
10
10
00
00
01
11
01
10
00
01
10
10
10
10
00
10
00
00
10
10
01
11
00
11
10
00
10
10
00
00
01
10
10
00
11
00
10
11
01
11
11
00
00
10
10
00
00
10
11
01
01
10
10
00
10
11
00
10
11
10
00
10
00
01
00
10
00
11
00
00
10
10
11
00
01
01
10
01
00
10
00
10
10
01
00
00
00
10
00
10
10
00
10
10
01
10
00
11
10
10
10
10
01
10
11
00
11
01
10
00
00
10
11
01
10
01
00
00
10
10
11
01
01
01
10
10
01
10
10
00
00
10
10
01
10
10
00
10
10
11
10
11
10
00
01
00
00
10
00
01
01
11
10
01
10
10
10
01
00
11
10
01
01
01
00
10
11
01
01
11
10
00
01
10
10
01
00
11
00
01
00
11
10
10
10
00
01
11
10
10
10
11
10
00
11
01
10
00
00
11
10
11
10
01
00
11
00
10
01
01
11
10
00
00
00
10
01
00
11
00
10
11
00
00
01
11
10
00
01
01
11
01
11
11
01
00
10
10
01
00
00
11
01
00
10
10
10
01
10
00
11
10
01
01
00
10
00
11
11
00
00
10
00
10
10
00
10
10
10
10
00
01
11
00
11
10
11
00
00
10
00
10
11
00
00
10
10
11
00
10
00
10
00
10
01
10
10
10
01
10
00
10
10
01
00
00
00
10
11
00
00
00
01
10
00
10
11
10
11
00
10
00
11
00
10
11
01
01
10
01
10
00
00
10
01
00
10
00
10
11
11
11
11
01
00
00
00
10
01
01
10
00
00
10
01
01
10
10
00
10
01
10
11
11
10
00
00
10
00
00
10
10
10
01
00
10
10
00
11
11
00
00
10
11
10
01
00
11
01
01
00
00
10
10
01
00
00
10
11
00
00
00
00
10
10
01
10
00
00
00
10
01
00
10
10
00
10
10
00
01
10
01
10
00
00
11
10
11
00
00
10
00
10
10
00
10
01
00
01
10
01
11
10
10
00
00
10
00
00
01
10
11
11
10
10
00
10
10
00
00
01
01
11
10
01
10
10
00
00
10
11
00
01
00
01
10
11
11
10
01
10
00
00
00
01
01
11
10
10
01
10
10
11
00
00
10
10
00
11
10
01
10
10
10
00
00
10
00
00
10
10
00
11
01
00
10
00
01
10
00
11
01
10
10
01
10
01
00
11
11
10
01
01
00
00
10
11
00
10
10
11
11
01
11
00
10
00
00
00
01
00
11
00
01
10
10
10
01
00
01
00
10
00
00
00
11
11
10
00
00
10
01
00
00
00
10
10
00
00
10
00
10
10
11
00
00
00
01
11
11
11
00
10
00
00
10
01
01
11
10
10
10
00
11
00
10
11
00
11
01
11
00
11
00
00
00
10
00
11
11
01
10
10
01
10
01
00
11
11
00
10
00
00
11
11
00
11
01
10
11
00
01
10
11
00
00
00
10
10
10
11
00
00
10
11
10
00
00
01
00
00
00
10
11
10
10
00
00
10
10
01
11
01
01
11
11
10
11
01
11
01
00
11
00
01
11
00
11
10
01
10
11
01
00
10
00
00
10
10
00
01
00
11
00
10
11
10
00
01
00
11
00
11
00
10
11
01
10
10
00
01
11
00
10
10
01
00
00
10
11
11
00
11
01
00
10
01
10
10
10
00
01
10
10
00
10
11
10
00
10
10
10
10
00
01
00
01
10
11
00
10
10
01
10
11
00
00
11
00
11
10
00
10
00
01
00
00
11
11
00
01
00
10
00
10
01
00
10
11
11
11
11
01
01
10
00
10
10
00
01
00
10
11
00
10
00
10
10
11
01
01
00
11
11
10
00
01
00
00
00
01
00
10
01
00
10
00
11
00
10
11
01
00
00
10
10
01
00
10
00
01
10
01
01
00
00
10
10
10
00
00
10
01
01
10
01
01
00
00
00
10
10
10
00
10
10
10
11
00
10
01
01
00
00
00
11
00
10
10
01
00
11
01
00
11
11
10
10
10
10
11
11
00
00
00
10
00
01
11
10
00
01
01
01
11
11
10
11
00
11
10
00
00
00
10
00
10
11
00
00
00
11
10
11
11
10
11
10
10
10
10
01
00
11
10
10
00
00
00
10
10
01
11
11
10
00
11
10
00
10
10
00
10
11
00
11
10
01
00
00
00
11
11
10
10
00
00
10
11
00
01
01
10
10
10
00
01
00
11
00
00
11
11
00
00
10
11
10
01
01
10
11
11
11
00
00
11
00
01
00
11
11
00
00
10
11
00
10
10
00
00
11
10
00
01
10
01
00
00
10
00
01
10
01
01
01
00
11
01
00
10
11
10
01
11
10
01
01
10
01
00
10
10
00
00
11
00
11
01
10
11
00
01
10
00
01
00
10
10
00
10
01
00
01
01
10
10
10
01
00
11
10
10
01
01
00
11
10
00
00
00
10
01
11
11
10
00
00
11
01
01
00
11
10
10
00
10
11
01
11
10
00
10
00
10
10
00
10
00
00
00
00
10
00
01
00
01
10
10
10
10
10
01
00
10
10
00
00
10
10
00
11
10
11
00
01
00
11
10
00
11
11
10
00
10
11
10
00
00
00
10
11
10
10
11
00
01
11
00
00
11
00
01
01
10
10
10
10
00
10
11
00
11
01
00
01
11
10
00
10
10
11
11
00
10
11
00
00
10
00
01
00
10
10
00
01
10
10
11
01
00
10
00
00
00
00
10
00
10
00
01
00
10
00
10
10
01
10
10
00
00
10
00
01
10
10
10
01
01
00
00
00
11
00
01
11
00
11
01
11
10
01
00
01
11
00
10
10
00
00
11
10
10
00
10
11
00
00
00
00
00
11
00
11
01
00
00
11
00
11
01
11
10
00
00
00
10
00
00
11
10
11
00
11
11
01
01
10
11
01
10
00
00
10
11
11
00
11
01
00
10
01
00
10
10
00
10
10
10
00
10
11
10
00
00
00
10
00
11
00
10
10
01
00
01
10
00
01
10
10
11
00
00
00
00
10
11
00
10
00
10
10
00
10
00
00
10
01
10
00
11
01
10
10
11
00
00
10
10
00
00
00
00
10
10
01
00
00
00
00
11
00
00
11
00
01
01
10
11
10
01
11
11
00
10
00
01
01
10
10
00
00
10
00
00
11
10
11
00
00
11
10
01
00
01
01
10
11
10
01
00
10
10
01
01
00
10
10
10
11
01
00
11
10
00
10
10
01
00
01
10
00
01
10
11
01
00
10
10
01
00
00
00
10
10
00
10
10
10
01
00
10
10
10
00
00
00
10
10
00
01
10
00
10
10
10
00
10
10
10
10
00
00
00
11
11
10
01
00
10
10
00
00
11
01
00
10
10
00
01
01
00
11
00
10
11
11
10
01
01
01
11
01
00
10
10
10
01
10
10
00
01
00
10
10
10
11
01
01
11
10
10
10
10
00
00
11
10
10
00
10
00
00
10
01
11
01
00
10
01
10
00
10
10
00
10
10
00
10
11
00
00
10
10
00
11
01
01
10
10
10
00
01
11
11
01
10
10
00
00
10
11
00
00
10
10
10
10
11
00
01
11
00
00
11
00
10
10
00
10
01
01
00
10
00
11
11
01
10
01
11
11
00
00
01
10
10
00
01
11
11
00
10
00
00
00
00
10
00
00
11
11
01
01
10
00
00
00
10
11
00
00
00
10
10
00
10
11
11
10
00
01
00
00
11
11
10
00
10
10
00
01
00
10
00
10
10
10
10
00
00
11
10
00
11
10
00
11
00
11
10
00
11
10
00
00
00
11
10
00
01
11
10
00
00
11
01
10
11
00
10
10
10
00
10
10
00
11
00
11
10
00
00
11
11
01
10
11
10
00
00
00
11
11
10
01
00
10
11
11
00
10
01
01
00
10
11
10
11
10
00
10
10
11
00
11
10
00
01
11
11
00
10
10
01
10
10
10
00
10
00
00
00
11
00
01
01
10
11
00
00
00
11
10
00
10
11
10
10
00
01
00
10
10
10
00
00
01
10
00
10
10
10
10
00
11
00
00
10
01
00
11
10
10
00
00
10
00
01
11
10
11
00
00
10
00
01
10
11
10
10
00
10
01
10
10
01
10
10
11
10
01
11
00
00
00
10
10
10
10
01
00
10
10
01
00
00
10
11
10
00
10
10
11
00
11
10
01
00
10
10
01
01
10
10
11
01
00
00
11
10
11
11
00
00
00
10
10
10
11
00
00
11
10
00
00
00
10
10
01
00
10
11
00
11
10
00
00
00
11
11
11
00
10
00
00
10
10
00
01
01
10
10
10
00
00
00
10
11
01
00
10
10
10
01
01
10
01
10
10
01
11
00
00
10
10
10
01
10
10
10
00
11
10
01
00
00
11
01
10
10
11
00
01
00
11
01
00
01
00
10
10
00
11
10
00
01
10
00
10
00
11
10
00
10
00
00
10
10
00
01
00
11
10
10
10
01
00
01
10
11
10
01
11
00
01
11
11
01
00
01
00
11
10
11
00
00
10
00
11
11
10
11
01
00
01
00
10
11
00
11
00
00
10
11
00
00
10
00
00
10
11
10
10
00
10
11
00
10
10
00
00
11
10
10
00
10
11
00
11
10
10
00
00
00
11
01
11
10
10
11
10
10
10
01
00
00
10
10
00
00
01
11
01
11
00
10
11
10
00
01
10
10
10
00
00
11
10
01
11
10
00
00
11
11
11
00
01
10
11
10
01
01
10
00
00
00
11
10
00
10
10
10
00
11
00
11
10
00
10
11
11
00
01
10
10
10
11
01
00
10
10
10
00
10
01
01
10
00
00
00
10
00
01
00
00
10
11
10
10
11
10
00
00
10
01
10
01
00
01
00
10
10
10
11
00
10
10
11
01
10
10
00
00
00
00
11
10
00
01
01
10
10
00
11
11
00
11
01
01
10
10
00
10
10
01
11
10
00
10
01
10
00
01
00
11
11
00
01
00
11
00
11
10
10
10
00
00
10
11
00
00
00
10
00
10
01
11
10
00
00
00
10
10
00
10
10
11
10
10
11
11
00
00
00
00
10
10
00
11
00
11
00
00
10
11
10
00
00
00
01
10
11
11
00
00
00
10
01
11
10
00
11
00
10
00
00
00
00
10
10
00
10
10
00
00
00
00
11
01
10
01
10
00
00
01
10
10
00
01
11
10
00
11
00
00
10
00
11
11
01
10
01
10
01
00
11
10
01
00
01
10
10
01
10
11
00
00
10
00
00
00
01
10
11
10
00
10
00
00
10
00
11
10
00
00
11
10
11
00
11
10
01
00
10
00
01
11
10
10
00
01
10
10
10
11
00
01
00
01
00
00
01
10
11
00
00
10
11
00
00
01
10
11
00
11
00
00
10
10
01
01
11
10
01
01
11
11
00
10
10
00
10
00
01
10
10
10
11
11
10
11
01
10
01
00
10
00
00
00
10
10
10
10
00
11
00
01
00
10
10
00
11
10
10
01
10
10
10
01
00
01
00
10
10
01
11
10
11
01
10
10
10
10
10
00
00
10
10
10
00
00
11
00
01
10
00
00
10
10
10
11
01
00
11
10
10
11
10
00
00
10
10
00
01
01
10
10
10
10
00
01
11
10
10
11
00
00
00
01
01
11
11
10
10
00
10
01
11
11
00
01
10
11
00
10
00
10
10
00
10
01
00
00
00
00
00
10
10
00
11
10
01
10
00
00
10
01
10
11
01
10
10
01
11
10
10
00
00
10
10
00
10
10
10
00
10
11
10
11
11
10
01
00
00
11
11
00
00
00
11
10
01
01
00
10
11
01
00
11
10
01
01
10
11
11
10
01
10
00
00
10
10
00
00
01
10
00
11
11
11
10
10
00
10
00
01
00
10
11
01
10
10
00
10
10
00
10
00
00
10
00
10
00
10
11
10
01
10
00
10
00
00
10
00
01
10
10
10
10
00
10
01
00
01
10
11
10
01
11
01
00
10
01
01
01
11
00
00
00
00
10
10
11
00
01
10
11
01
00
11
10
11
10
11
00
00
00
10
10
00
01
10
00
10
11
10
01
00
10
00
01
00
10
00
00
10
00
01
11
11
01
00
11
11
10
00
00
11
11
10
00
00
00
01
11
10
11
11
10
00
11
01
01
10
11
01
01
10
10
00
00
10
01
01
10
10
00
00
10
00
00
00
10
10
11
00
10
11
10
10
00
00
00
10
01
11
00
11
00
10
01
01
11
00
00
00
10
10
00
00
11
00
00
00
10
10
01
00
10
11
01
01
11
11
00
00
00
00
00
10
10
00
00
01
10
00
10
11
01
10
00
00
10
10
00
00
01
00
00
00
11
11
11
10
10
10
00
11
00
00
10
11
01
00
11
10
00
11
11
00
10
00
00
01
00
00
01
01
00
11
11
00
00
00
00
11
10
11
10
01
10
11
01
01
10
00
10
10
10
10
10
00
10
10
01
11
00
00
10
10
00
11
00
01
10
10
10
00
11
11
10
10
11
11
10
00
10
00
01
10
00
00
10
00
10
11
00
00
10
00
00
10
00
10
10
00
00
01
10
01
11
00
00
01
01
11
10
01
01
11
10
11
00
01
00
10
11
00
01
11
10
01
00
10
00
10
00
10
10
10
10
01
10
11
11
10
10
00
00
00
00
10
00
00
10
10
10
00
10
10
01
00
01
00
01
00
00
00
11
00
10
00
00
11
01
01
00
00
11
11
11
00
10
10
10
10
11
00
01
10
10
10
10
10
10
10
00
01
00
10
10
11
10
11
11
00
00
10
11
11
00
00
00
01
01
01
10
01
10
11
11
00
11
10
01
01
00
10
10
00
01
11
00
11
00
00
01
00
10
11
11
01
11
01
00
00
00
10
10
00
01
11
10
11
00
00
10
00
00
00
11
10
01
00
11
11
00
10
10
00
11
10
00
01
11
11
10
00
10
11
00
00
00
11
10
10
00
10
10
11
10
00
10
10
00
10
00
00
11
00
10
10
10
01
00
10
11
00
01
01
11
10
10
00
10
10
11
01
00
10
10
01
10
11
10
00
00
00
10
10
00
11
10
11
11
00
11
00
11
10
00
00
00
00
10
11
00
01
00
10
00
10
01
10
01
11
10
10
00
11
10
10
00
00
00
00
10
00
00
10
11
00
10
11
11
00
00
00
01
10
10
10
10
11
00
00
00
00
10
00
11
10
10
00
10
00
11
10
01
00
10
11
11
00
00
11
01
10
10
10
00
11
00
10
00
10
11
10
11
00
00
00
10
10
00
00
10
10
10
01
00
00
00
11
11
11
10
00
01
00
10
00
00
10
00
00
10
00
01
11
10
00
10
01
10
00
10
00
11
00
01
00
10
10
11
00
01
00
10
10
01
01
01
01
10
00
01
10
11
01
11
11
00
01
00
00
10
01
00
10
00
10
11
01
01
01
00
00
01
01
10
11
10
10
10
11
00
00
00
10
10
10
10
10
00
00
01
00
10
10
10
00
00
10
00
00
00
11
11
01
11
10
00
10
00
10
00
01
10
10
00
10
00
00
00
11
10
01
01
10
11
10
10
01
00
10
10
01
10
10
10
00
10
00
01
10
10
00
01
11
10
11
10
00
11
11
11
10
01
01
00
01
00
00
11
11
00
11
00
01
00
00
00
11
10
00
10
11
11
00
01
10
10
11
10
00
10
10
10
00
10
10
11
00
11
00
01
00
01
11
10
00
00
11
11
00
01
00
11
00
10
10
10
11
01
00
11
01
00
00
11
10
00
10
10
01
00
11
00
00
10
00
00
01
01
10
10
00
01
10
10
01
10
00
01
10
11
00
11
00
00
10
10
11
00
10
10
11
00
01
01
11
10
00
10
10
11
00
01
11
01
10
00
00
10
01
10
01
00
10
00
00
00
01
10
11
00
00
00
10
00
10
00
00
10
11
10
10
10
01
10
11
00
11
00
00
11
10
10
00
00
10
11
00
00
11
10
01
10
10
00
01
11
01
10
11
11
00
11
01
10
01
11
10
10
10
00
11
01
01
10
00
01
00
01
10
10
11
00
10
11
00
00
00
11
10
01
10
10
10
00
00
00
00
10
00
01
10
10
11
11
00
01
11
00
10
11
00
00
00
10
10
10
00
00
01
11
10
10
01
01
00
00
01
10
00
10
10
00
10
00
10
00
10
00
00
10
10
10
00
01
01
00
01
11
10
10
00
10
10
10
00
00
01
10
11
00
10
00
00
00
00
10
01
01
11
01
10
11
10
11
00
00
01
11
00
11
00
00
11
10
10
10
01
01
11
10
00
10
00
10
10
00
00
11
11
10
01
11
10
10
00
10
10
10
00
00
00
00
00
10
10
00
10
00
11
11
01
01
01
00
11
11
00
00
00
10
10
01
00
00
11
10
01
10
11
00
10
01
10
10
01
10
10
10
00
01
00
00
10
11
10
00
10
11
11
00
10
00
10
10
10
10
10
00
00
10
00
11
00
00
01
01
11
00
00
11
10
01
10
00
10
00
00
00
10
11
10
00
01
01
01
00
11
10
11
10
00
00
10
00
11
11
01
10
11
11
10
10
10
00
01
10
10
11
01
00
10
10
10
10
00
11
00
10
10
00
10
00
10
10
00
01
00
10
10
11
00
01
11
01
10
00
01
11
00
00
00
01
10
10
10
11
01
00
11
00
11
11
00
11
00
11
01
00
10
10
11
01
10
11
00
01
00
10
00
10
11
10
01
00
01
00
10
00
11
00
11
00
00
01
10
01
01
01
11
10
00
11
01
00
10
10
10
10
10
00
00
00
01
10
00
11
10
10
01
11
10
00
00
11
10
00
10
10
01
01
00
00
10
00
01
00
10
01
10
00
11
01
01
11
01
00
11
00
00
11
00
00
10
11
10
10
11
01
10
01
00
10
00
00
11
00
01
11
00
00
00
00
00
10
10
10
11
11
10
01
00
00
10
00
00
01
10
11
10
00
01
00
00
00
01
10
10
00
01
00
00
00
11
00
01
10
01
00
00
10
10
01
10
01
11
00
11
11
00
10
10
10
01
01
10
00
00
10
01
11
01
01
11
10
11
10
01
10
11
10
00
01
00
10
00
00
11
00
10
00
11
11
10
10
00
11
00
00
10
10
10
00
10
11
10
00
10
11
00
10
10
00
00
11
00
11
11
01
00
11
00
00
00
01
11
11
01
00
00
01
00
11
00
01
11
10
11
01
01
11
11
01
10
00
00
10
10
00
01
10
10
01
00
00
00
11
00
01
10
01
11
10
10
00
00
01
00
10
10
10
10
00
00
00
11
00
10
01
11
11
10
00
11
10
01
01
01
10
10
11
10
00
00
00
11
00
11
10
11
00
01
10
00
10
11
01
00
10
10
00
10
01
01
01
10
10
00
10
10
10
00
10
01
11
11
00
00
01
10
00
00
11
00
11
10
10
00
00
00
00
00
10
01
01
11
11
01
01
11
01
00
00
00
10
10
01
00
11
00
00
01
00
10
10
10
01
10
10
01
11
10
11
10
01
10
00
10
10
00
00
00
01
10
10
00
00
10
01
11
00
00
00
00
00
11
11
10
10
00
10
10
10
01
00
10
00
11
10
10
01
10
10
00
00
10
10
00
10
00
10
11
00
00
10
00
10
00
00
01
01
10
10
10
10
10
11
00
00
10
11
10
10
01
00
00
01
10
00
11
01
11
01
00
10
00
10
10
10
00
00
11
11
10
01
00
01
11
01
01
00
10
11
01
00
11
10
10
01
00
00
00
01
10
01
01
01
00
01
00
10
00
11
10
01
01
10
10
01
01
11
10
00
00
10
10
10
00
00
11
01
11
10
00
10
11
00
01
10
01
10
11
11
00
00
10
11
00
11
11
01
01
10
10
10
00
00
10
11
00
00
11
00
00
01
11
10
00
01
11
10
00
00
00
10
11
01
00
10
00
10
10
11
01
00
11
00
10
00
10
01
00
11
10
10
00
00
10
10
10
10
00
00
01
00
10
00
00
11
01
00
00
11
11
01
00
01
00
11
00
10
11
01
11
00
00
11
10
00
01
11
00
10
01
00
00
10
01
00
01
10
10
10
10
10
10
00
11
10
01
11
00
11
01
01
01
00
10
00
11
11
00
10
10
00
10
10
00
00
11
00
10
10
01
10
00
00
10
10
00
11
10
10
10
11
01
10
10
10
00
10
00
01
10
00
00
11
11
11
11
00
00
10
00
00
11
10
00
10
00
00
11
00
10
01
00
00
10
00
10
11
10
01
00
11
01
00
10
00
00
10
10
10
10
00
00
01
10
10
11
11
10
10
11
00
10
10
10
01
00
00
10
10
01
10
00
01
01
00
11
01
01
01
11
10
11
10
11
00
10
00
01
10
11
00
01
10
10
10
00
10
00
01
10
10
00
00
11
00
00
10
10
10
00
00
01
00
10
11
11
01
01
10
10
10
10
10
10
00
01
10
11
10
00
00
11
11
10
10
00
01
00
01
10
10
00
00
10
11
01
00
10
01
01
10
01
00
11
00
00
10
10
00
00
11
00
00
10
01
00
11
10
01
01
11
10
01
00
11
10
01
11
11
10
00
00
10
01
01
10
11
00
00
00
01
01
11
01
01
11
00
00
10
10
10
00
00
00
10
10
01
11
00
11
00
01
10
11
01
01
11
11
00
00
11
10
10
01
10
10
01
10
00
11
00
10
00
10
00
11
01
00
10
10
00
01
10
01
00
01
11
10
10
01
10
00
00
11
11
00
00
11
10
01
00
11
01
10
11
01
01
10
10
11
00
00
10
00
01
10
10
10
10
10
10
00
01
11
10
00
10
10
01
00
10
10
00
01
11
00
10
00
11
10
10
00
10
00
00
11
00
00
00
00
10
10
00
10
01
10
00
10
10
00
00
11
10
01
00
10
10
11
10
00
00
11
11
01
11
10
01
10
10
00
11
10
01
00
10
01
00
10
11
10
01
01
10
11
10
11
10
11
10
00
01
00
11
00
11
10
00
01
00
10
11
11
01
00
10
10
01
00
01
00
11
01
00
00
00
10
10
10
01
11
00
10
00
11
10
11
11
10
00
00
01
01
11
00
00
00
10
00
00
10
10
00
10
00
00
01
01
00
10
00
11
10
00
10
11
10
00
11
00
00
10
01
00
11
10
10
01
00
10
00
00
10
01
00
10
10
01
00
00
10
11
11
11
00
00
00
11
10
10
10
10
01
11
10
01
00
00
10
10
01
10
11
00
10
10
01
00
10
10
10
00
00
11
00
00
01
10
00
00
10
00
00
10
00
10
01
00
00
01
10
00
00
00
00
01
01
10
01
10
10
10
01
00
00
11
10
00
10
00
10
00
01
10
11
00
01
10
00
10
11
01
00
00
11
10
00
01
10
11
00
10
01
00
10
00
00
10
10
10
00
01
00
00
10
00
10
10
10
00
10
10
10
11
10
01
00
00
00
01
10
10
10
10
10
10
00
00
00
01
10
00
10
10
01
00
00
11
11
10
01
00
00
10
10
00
10
10
00
01
10
10
00
10
01
11
10
00
10
10
10
00
10
10
11
11
00
00
00
00
10
10
10
01
00
01
01
01
10
11
01
10
00
01
01
11
10
00
01
10
10
00
00
11
11
11
10
10
00
01
10
00
00
10
01
00
11
10
00
10
10
10
10
10
00
10
10
10
00
00
00
00
00
01
10
00
11
00
00
10
01
00
00
10
10
01
00
11
00
10
11
11
00
00
10
11
00
01
01
10
01
00
00
01
10
11
00
11
11
01
01
11
10
10
11
00
11
00
00
11
10
00
00
11
10
00
10
10
11
01
00
00
00
00
10
00
10
11
00
10
11
10
10
10
00
11
10
00
00
10
01
01
11
10
00
11
10
01
01
01
11
01
01
10
00
00
10
10
00
00
11
00
10
00
11
10
00
00
01
01
10
01
00
00
10
11
01
01
01
10
10
01
00
01
10
10
00
10
11
01
01
11
11
00
11
11
01
00
10
11
00
11
01
10
10
00
10
01
10
10
10
11
00
10
11
00
10
00
10
11
10
00
00
10
10
00
00
11
11
01
10
10
11
11
10
00
01
00
01
11
10
00
10
01
00
00
11
10
11
01
10
10
00
00
00
01
10
00
00
01
11
00
01
11
11
10
01
00
00
00
10
10
01
00
00
01
01
00
10
00
00
10
00
00
10
11
01
01
10
10
10
11
10
10
10
00
00
11
00
01
00
00
11
10
11
10
10
00
00
01
10
11
10
00
00
00
00
00
10
10
10
01
10
11
10
11
10
00
01
00
00
11
00
00
00
10
00
11
00
01
10
10
10
00
11
00
00
10
10
10
10
11
10
11
10
11
10
10
01
01
10
00
00
00
11
11
00
11
01
01
11
01
10
00
00
10
10
01
11
01
00
00
00
01
00
10
10
01
00
11
10
10
11
01
10
11
00
11
01
00
11
11
00
00
10
10
00
01
10
10
00
01
00
10
10
00
01
00
11
11
00
01
01
10
00
10
01
01
00
01
11
10
00
10
00
10
10
10
11
10
11
00
01
01
00
10
10
10
01
11
10
01
00
10
11
11
01
01
10
11
10
00
10
00
10
11
00
01
11
11
00
10
10
00
00
10
10
10
00
00
10
01
00
01
10
01
01
10
11
00
00
11
00
10
00
10
10
00
00
01
10
10
01
00
10
10
00
01
10
01
11
11
01
10
10
00
10
10
00
10
10
00
00
00
00
11
10
01
10
10
00
00
01
10
00
10
01
00
10
00
10
11
10
01
00
10
11
11
10
10
01
01
11
11
11
10
01
00
00
00
00
11
11
00
10
01
11
10
00
11
00
00
10
11
10
11
11
00
10
10
01
00
00
11
01
00
10
10
01
10
10
00
11
00
00
10
10
00
11
01
00
10
00
00
11
01
01
10
11
01
10
10
10
10
10
10
00
00
01
01
01
11
00
10
01
10
00
10
11
01
11
00
00
10
11
11
00
00
10
00
00
01
01
10
11
00
11
00
00
01
00
11
10
00
01
10
00
10
10
01
00
11
10
01
01
01
00
11
10
00
10
11
00
10
00
00
10
10
00
01
00
00
00
11
00
10
11
00
10
11
00
11
10
00
11
01
10
01
01
10
11
10
00
10
10
00
00
10
10
10
01
10
10
11
00
10
10
01
10
01
10
01
00
01
00
10
00
00
00
00
00
11
01
10
00
10
10
00
00
10
11
00
01
10
00
10
00
00
11
11
01
10
01
00
10
10
11
00
00
10
10
01
10
11
01
00
01
10
00
01
00
10
00
00
11
11
11
11
10
10
00
10
01
11
10
01
10
10
00
00
11
11
00
01
00
10
00
00
10
10
00
00
11
10
11
10
10
00
01
01
10
01
00
00
11
11
01
10
10
00
01
11
10
10
11
01
10
10
00
10
10
00
00
01
10
00
10
01
00
01
00
10
01
10
01
10
00
01
01
00
10
10
10
00
10
10
11
00
11
00
01
00
10
10
10
01
10
00
00
00
01
01
00
10
11
00
11
00
00
11
10
10
10
10
01
01
11
00
00
00
10
00
00
11
10
10
00
00
11
10
11
01
01
11
10
10
00
00
00
00
11
10
01
10
10
10
11
10
00
01
10
01
00
11
10
10
10
10
00
00
01
10
01
00
00
00
11
10
00
10
10
10
10
01
01
10
10
11
10
01
00
00
11
11
00
11
00
00
01
00
01
10
11
00
01
10
10
00
01
01
11
11
00
00
01
10
00
10
10
01
00
11
10
10
01
01
11
11
10
00
10
00
00
01
11
11
10
00
01
01
11
11
10
01
00
00
10
11
00
00
10
00
10
10
11
11
01
10
10
10
11
10
10
01
00
10
10
01
10
10
00
01
00
00
00
10
10
00
01
10
11
10
01
10
11
10
00
01
00
11
10
11
01
10
10
00
01
10
00
01
11
11
10
01
00
00
00
00
10
10
01
10
01
00
01
10
11
00
11
00
00
10
10
10
00
10
00
01
00
00
10
00
01
00
10
10
00
10
11
10
11
00
01
10
01
11
00
10
10
00
00
00
10
00
01
01
01
10
01
00
10
01
11
10
10
10
01
11
10
10
10
01
00
10
00
11
01
00
10
00
00
00
11
10
00
10
10
11
10
11
10
01
00
00
00
01
10
10
01
00
00
10
11
00
01
10
00
10
11
11
11
10
01
10
10
10
01
10
11
01
01
00
10
00
10
11
00
10
10
00
10
00
00
10
10
01
10
11
11
11
00
10
01
00
10
00
10
10
10
00
00
10
10
11
00
00
11
11
10
00
00
10
01
10
01
01
10
10
00
11
11
10
00
00
10
00
10
11
00
01
11
00
00
10
00
00
10
10
11
00
01
00
00
00
00
01
10
10
00
10
11
11
10
10
10
00
11
10
11
01
00
11
00
00
00
00
10
10
00
00
00
01
10
10
00
10
01
00
11
10
10
00
10
00
11
01
00
10
11
10
00
00
10
10
10
11
01
11
10
01
10
00
00
10
10
00
01
10
01
01
01
10
10
10
01
11
10
01
00
01
10
11
10
10
00
00
10
11
10
00
01
11
11
00
10
10
01
00
10
10
00
00
11
10
00
11
10
00
00
00
10
01
00
11
10
01
11
11
01
00
10
01
11
11
10
01
00
11
00
00
10
10
00
00
10
10
01
00
01
11
11
10
10
10
00
01
10
00
01
10
00
11
11
01
10
01
01
01
00
01
11
00
10
11
00
00
10
10
01
00
10
10
10
00
00
10
10
00
11
11
10
00
01
11
10
00
00
01
10
01
10
00
01
00
01
00
00
10
01
01
11
10
01
00
00
01
11
10
10
11
01
01
10
00
10
10
01
10
11
00
00
10
10
10
00
10
00
10
10
10
10
11
00
11
10
00
00
11
10
10
10
00
00
01
11
01
00
11
11
10
00
11
10
01
10
11
00
00
10
10
11
00
10
00
10
00
00
00
00
00
01
01
10
10
01
10
10
00
11
10
00
00
00
10
10
01
11
10
01
00
00
10
10
00
00
01
10
00
00
10
00
10
00
01
00
00
00
10
10
00
10
10
00
00
10
10
10
10
10
10
11
10
00
11
10
10
10
00
00
10
00
00
11
00
00
10
00
11
00
00
10
10
10
10
01
11
00
10
10
00
10
01
00
00
01
11
10
10
01
01
10
00
10
00
11
11
00
00
00
01
10
11
11
01
10
00
10
11
00
01
10
10
00
00
00
11
10
00
00
10
10
11
11
11
00
01
01
00
10
00
01
01
01
10
10
00
00
00
10
10
10
11
11
10
00
00
00
00
01
10
10
00
01
11
00
00
10
00
00
10
00
10
10
00
11
00
00
10
01
00
00
00
11
11
01
00
10
11
00
00
00
10
00
10
10
11
00
00
10
01
10
01
00
00
01
10
11
10
10
01
10
00
10
00
10
10
10
01
01
01
01
00
11
10
10
00
00
10
10
01
00
00
10
01
11
00
01
10
11
10
10
01
10
00
00
11
10
11
10
00
11
00
01
00
01
10
00
00
10
00
00
00
10
10
00
01
11
01
00
00
10
00
01
10
10
00
00
10
10
00
00
10
00
00
10
00
10
00
11
10
01
00
10
00
10
01
11
11
00
00
01
00
00
00
11
11
11
01
00
10
00
00
10
01
01
00
10
10
00
01
01
10
11
10
00
10
11
00
10
00
01
00
10
11
11
00
10
00
10
10
00
10
00
00
10
10
00
00
10
11
00
00
11
10
00
01
10
10
01
01
11
11
10
00
00
00
01
11
11
01
00
11
10
11
00
10
10
01
10
01
10
11
10
10
00
00
00
10
10
00
01
01
10
10
10
10
11
01
00
00
11
11
11
10
10
01
00
11
11
00
00
00
00
10
00
10
11
00
11
10
11
00
00
00
00
11
10
10
01
00
00
01
11
10
10
00
11
00
01
10
00
00
11
11
01
00
11
10
10
11
00
01
10
10
00
10
10
00
01
10
00
11
11
01
10
11
10
10
01
10
10
01
10
01
00
10
00
01
00
00
10
01
00
10
10
01
11
11
00
11
00
10
00
00
10
01
10
11
10
10
10
10
00
01
00
10
10
11
00
00
00
01
10
11
11
01
00
10
11
10
11
00
10
00
10
01
00
01
11
01
01
00
10
00
01
10
01
11
11
11
00
01
00
00
10
10
11
00
00
11
00
00
00
00
10
00
11
10
11
01
10
00
01
00
10
01
01
10
10
00
00
10
10
00
00
10
11
10
00
10
11
10
10
01
01
11
00
10
10
01
01
00
11
00
11
10
11
00
10
00
00
00
11
00
00
00
00
00
10
00
10
11
10
11
00
01
00
10
10
00
00
10
11
00
11
01
00
11
10
11
11
00
01
11
11
00
01
10
00
01
10
11
00
01
10
00
10
11
00
00
10
11
10
00
01
01
00
10
00
11
10
00
00
00
10
10
01
00
01
11
10
10
00
11
10
00
00
10
10
00
11
00
10
10
11
10
01
11
11
10
00
01
00
10
11
10
00
10
10
11
00
11
01
01
00
10
10
10
10
10
00
00
11
11
00
00
10
10
00
00
10
10
11
10
00
00
00
11
10
00
10
00
10
01
10
01
10
01
10
11
01
00
01
11
10
00
00
10
11
00
01
11
10
01
00
11
10
00
00
10
10
01
11
11
11
11
10
00
10
10
00
00
11
00
00
11
11
00
00
01
00
11
10
11
11
00
00
10
00
00
10
10
00
00
00
11
10
00
00
01
10
01
00
00
10
10
00
00
10
10
01
00
00
10
01
01
00
10
01
10
11
11
01
00
10
10
10
01
11
01
00
11
10
00
00
11
00
11
10
01
10
10
00
00
01
00
10
11
00
00
00
11
11
10
01
10
10
00
01
00
00
10
00
00
10
10
11
11
10
01
00
10
10
10
11
10
01
00
00
00
10
10
10
01
01
00
01
01
01
00
10
11
00
01
10
00
00
10
11
00
11
11
11
10
00
10
01
10
10
10
01
01
01
11
10
00
00
00
10
10
10
00
01
10
11
11
10
11
01
10
00
01
11
11
00
01
10
10
10
00
01
11
10
10
10
00
11
11
11
01
11
11
00
11
00
00
10
00
00
10
10
10
11
00
00
10
10
01
10
01
10
11
10
11
10
00
10
10
00
01
01
11
10
00
10
00
00
10
11
00
01
11
10
10
11
10
01
10
01
00
11
10
11
10
01
10
00
11
10
01
00
00
10
11
01
10
01
00
11
10
01
01
11
11
11
11
00
00
10
00
10
00
00
11
00
11
00
01
10
01
10
00
01
10
10
01
11
11
10
00
00
00
10
10
11
00
00
11
00
00
00
11
00
10
10
00
00
00
00
01
10
10
00
00
00
00
10
10
00
01
10
00
00
10
10
10
10
10
01
11
10
10
00
00
00
01
01
10
10
10
00
11
00
00
00
00
01
11
00
11
10
11
00
00
11
00
00
10
01
00
10
10
10
00
01
01
00
01
11
10
10
10
10
11
10
11
00
01
10
10
00
01
11
10
00
01
10
00
10
10
10
10
01
00
10
01
00
10
10
01
00
01
00
00
10
00
00
00
11
10
11
00
00
11
00
01
11
10
11
10
01
10
00
01
10
00
11
10
01
10
10
11
01
01
01
01
10
00
00
11
01
01
10
00
11
10
00
00
10
10
01
10
00
00
11
01
01
10
11
00
00
10
00
01
11
10
01
00
10
10
00
00
00
01
10
10
00
10
01
10
11
01
00
00
00
10
11
10
00
11
11
00
01
10
10
10
10
00
00
00
11
10
00
01
00
10
00
11
00
00
00
11
00
01
10
10
10
10
01
00
11
11
11
01
00
00
00
10
10
01
01
11
00
10
00
10
01
10
10
01
11
10
10
10
00
10
00
00
10
00
11
00
10
01
01
00
11
00
01
01
11
11
11
00
10
00
00
00
00
10
11
00
00
10
11
10
10
10
10
00
00
10
10
01
00
11
00
00
00
10
10
10
00
01
00
00
10
10
00
10
00
00
01
11
10
00
10
11
00
10
11
00
11
10
01
10
11
00
01
00
11
10
00
00
11
10
10
10
00
01
10
00
00
00
10
10
10
00
00
00
10
00
10
01
00
11
10
11
10
00
10
10
01
01
10
11
00
01
01
00
00
10
10
10
00
00
11
00
10
11
00
00
11
00
00
00
10
10
01
00
11
10
01
00
11
00
10
10
11
00
01
10
00
00
10
10
10
00
01
11
10
00
00
00
00
10
00
00
10
10
01
10
11
01
01
11
00
11
01
00
10
10
10
10
10
00
01
00
10
00
11
01
00
00
10
01
11
10
10
01
10
10
00
00
10
00
10
11
10
00
10
00
00
00
01
00
10
10
00
01
11
10
01
00
10
10
10
10
10
00
11
10
01
10
10
00
00
00
10
01
01
10
10
11
00
01
10
00
00
00
11
11
11
00
11
11
11
11
00
11
11
11
01
00
10
10
01
01
00
10
10
01
10
00
00
11
10
11
11
01
10
00
01
10
00
00
10
10
01
01
01
10
11
01
00
00
11
00
00
10
10
10
00
00
00
11
01
01
00
10
00
00
10
00
11
11
00
10
10
00
10
10
10
00
01
01
01
01
10
01
00
00
10
10
00
00
11
10
10
11
00
01
01
01
10
01
10
00
00
10
10
01
00
10
10
00
10
10
00
10
11
01
01
01
00
00
01
01
11
11
00
01
00
00
00
10
10
00
00
11
01
00
10
10
10
10
00
11
10
00
01
01
11
00
11
10
00
00
00
11
10
01
01
01
11
10
01
00
10
10
10
10
10
00
00
10
01
11
10
01
00
10
00
10
11
10
00
01
01
11
00
01
10
10
01
00
01
11
10
00
10
10
00
00
10
11
00
10
00
00
00
00
00
11
10
10
01
00
11
00
11
10
01
01
11
10
00
10
00
01
10
10
00
00
00
00
00
11
11
00
10
00
10
10
10
00
01
00
10
10
10
11
10
11
10
10
00
00
01
10
10
00
11
11
10
01
10
10
11
00
00
10
10
00
10
10
10
00
00
10
00
00
00
00
11
10
01
11
00
11
00
10
01
00
11
00
00
10
10
01
00
01
11
10
01
10
10
11
00
01
10
10
00
10
11
00
01
00
10
11
10
00
11
00
00
10
00
01
11
11
10
10
00
10
01
10
01
01
10
10
10
00
01
01
10
00
01
10
10
00
10
10
01
00
00
10
00
10
10
00
01
10
10
00
11
10
00
10
00
00
10
00
00
10
00
10
10
11
11
11
00
00
01
10
10
00
11
00
10
10
11
01
01
10
00
00
10
00
01
10
10
10
00
00
10
01
11
00
10
10
01
00
10
10
01
10
01
10
00
10
10
10
10
00
00
10
00
11
11
01
10
11
11
10
00
00
10
10
10
01
01
01
00
11
10
00
10
10
00
01
11
10
00
10
10
10
00
00
01
01
10
11
10
10
00
00
10
10
00
11
01
01
10
10
10
01
00
00
11
10
00
10
10
10
10
00
01
10
01
11
00
00
01
00
10
01
00
10
00
00
10
11
11
10
00
10
00
00
11
00
10
00
11
01
11
10
01
10
10
10
10
00
00
01
11
10
00
10
01
00
10
10
01
00
11
10
10
10
10
01
00
00
10
00
00
11
10
01
00
10
11
11
01
00
11
10
00
10
00
11
11
10
11
01
00
01
11
00
01
10
10
10
00
10
00
10
00
00
10
00
00
00
10
11
10
00
10
01
11
01
10
11
10
10
11
01
10
00
01
11
00
00
01
10
10
01
10
10
10
10
00
10
10
00
01
10
10
10
10
10
01
00
10
10
00
00
00
00
00
01
10
00
10
10
11
10
01
10
10
00
01
00
11
00
01
00
11
10
00
11
10
00
00
11
10
00
01
10
11
10
11
01
01
00
00
10
10
10
10
10
10
10
00
11
01
00
10
10
00
00
00
10
00
00
10
10
00
00
10
11
10
10
01
00
10
00
01
00
10
00
00
10
00
00
01
11
10
11
10
00
11
01
00
00
10
00
00
10
00
00
10
10
10
10
01
00
01
01
10
01
10
00
00
00
10
00
01
11
00
00
00
10
11
00
01
11
00
01
10
10
00
00
10
00
10
11
00
11
10
00
10
10
00
00
00
00
00
11
01
10
00
10
01
10
00
00
10
00
10
10
10
00
11
10
01
10
00
01
00
10
01
00
10
00
10
10
01
01
11
10
00
00
00
10
00
10
00
10
01
10
11
00
01
01
10
10
01
00
10
00
10
10
11
00
10
10
00
01
11
11
01
01
00
00
00
10
01
00
10
11
10
10
10
00
10
00
01
11
10
01
11
01
10
01
11
10
10
00
01
10
01
00
00
10
10
00
00
01
11
00
10
10
11
10
10
01
01
01
11
01
01
01
01
10
10
10
10
00
01
11
10
11
11
01
10
10
01
00
10
10
00
00
00
11
10
01
00
10
10
10
10
00
00
01
11
11
01
10
10
00
10
10
01
00
11
11
00
10
00
01
10
10
00
11
00
11
10
00
00
10
01
01
10
10
00
00
11
00
00
01
00
00
00
10
00
11
00
00
01
00
10
11
00
10
10
10
01
00
10
00
01
00
11
10
11
00
00
10
00
00
10
10
01
00
11
10
11
00
01
10
10
10
00
10
01
01
10
01
00
00
00
10
11
10
00
00
11
10
11
10
00
00
10
11
10
10
00
10
01
00
00
10
01
01
11
00
01
11
00
10
10
00
00
10
10
11
00
01
10
10
00
11
10
00
00
11
11
11
00
11
10
00
01
00
00
11
01
00
00
01
11
10
00
11
01
01
10
01
10
10
00
01
10
01
01
10
01
10
01
00
11
01
00
10
00
10
11
11
01
10
01
00
01
11
11
10
01
10
00
00
10
00
00
01
10
11
00
11
10
10
10
00
00
11
10
01
11
00
11
11
10
10
11
01
10
10
00
10
11
11
00
00
10
01
10
00
00
10
10
10
00
11
10
00
01
00
11
00
10
10
00
01
01
00
10
01
10
00
00
00
00
10
10
10
11
00
10
00
11
00
11
11
01
11
10
00
00
10
00
11
10
11
01
00
10
11
01
00
00
11
00
00
00
00
11
01
11
10
11
00
10
00
00
10
10
00
00
10
00
10
11
10
10
00
00
10
10
10
10
01
00
00
00
10
00
10
00
10
00
10
00
01
10
00
10
00
00
10
10
11
01
00
01
00
11
01
00
00
10
11
10
00
10
10
01
10
10
01
00
01
11
01
00
00
01
00
01
11
00
00
00
10
10
10
01
10
00
01
11
00
11
10
11
00
01
00
00
01
11
10
10
10
01
01
00
01
10
01
00
00
01
00
11
11
11
10
11
11
11
00
00
00
10
10
10
00
00
10
11
10
10
10
10
00
10
10
00
00
11
11
10
10
00
01
01
10
00
01
10
00
00
01
11
11
10
00
10
11
00
10
00
01
00
10
00
00
01
00
11
01
11
00
11
10
01
11
00
10
10
10
00
00
11
00
10
11
10
10
01
00
00
10
00
10
10
10
01
11
11
01
11
10
10
00
10
00
11
10
00
10
11
11
10
11
11
10
01
00
10
10
00
00
11
11
00
00
10
10
00
10
11
00
10
11
00
01
10
00
00
01
00
11
00
10
11
10
00
11
10
00
10
00
01
00
10
11
11
11
00
00
00
01
10
00
10
11
10
01
01
11
00
10
10
00
10
11
11
00
01
10
10
10
10
00
10
00
01
00
00
11
10
10
10
00
01
10
11
10
10
10
00
10
11
11
01
00
10
01
10
10
01
10
11
01
01
10
10
10
00
01
00
10
10
01
00
10
10
00
10
11
01
00
10
00
10
10
11
01
01
10
11
00
11
00
10
00
11
10
01
00
11
10
11
01
01
10
00
11
01
00
00
10
11
01
00
01
11
11
11
00
01
11
10
00
10
11
01
10
10
11
11
10
10
00
11
01
10
10
00
00
10
00
00
10
10
10
10
10
00
01
00
01
01
00
10
01
01
01
10
11
00
11
00
00
10
10
00
00
00
10
00
00
10
11
00
00
00
01
00
01
00
00
00
01
10
11
00
00
10
11
00
10
00
01
10
10
00
00
01
10
10
10
10
01
00
00
11
00
00
00
01
11
10
11
00
01
10
10
01
10
11
11
10
01
10
11
00
01
11
10
00
10
10
10
00
00
01
01
00
01
00
00
01
00
11
11
01
00
11
10
00
10
11
10
10
10
00
00
10
10
00
11
01
11
11
11
00
00
10
11
00
10
00
00
10
10
00
00
01
10
10
00
00
00
11
10
11
10
11
00
00
10
10
10
00
10
11
00
10
10
00
10
10
10
01
01
01
11
01
10
00
00
10
00
00
11
10
10
10
00
10
00
10
10
10
11
00
00
11
10
10
00
11
00
10
00
00
00
10
10
01
10
11
01
11
00
01
00
11
10
00
10
10
01
01
00
11
00
01
00
11
10
00
00
11
00
00
01
11
10
10
00
00
10
10
00
01
11
10
01
10
11
11
10
00
10
00
11
10
00
10
00
01
10
00
11
01
01
00
10
10
00
11
11
11
01
01
00
11
00
00
00
01
10
10
01
10
11
00
00
00
10
01
10
11
00
10
10
11
10
00
01
11
11
00
00
01
11
10
01
10
11
11
10
10
11
00
10
00
00
11
00
00
10
10
01
00
00
00
10
10
11
00
10
01
01
10
10
11
10
00
00
01
00
10
10
01
01
11
00
11
00
00
01
10
11
10
10
00
00
00
11
00
00
01
10
11
00
10
10
01
11
00
01
10
10
10
00
01
10
11
01
00
10
00
10
11
00
00
00
00
10
01
10
11
00
11
00
01
10
10
11
00
00
10
00
00
00
00
11
00
00
10
00
00
10
11
00
10
00
10
10
10
01
10
00
00
10
01
11
11
00
00
00
11
10
10
10
10
11
01
00
00
00
01
11
10
01
11
00
00
00
01
11
00
00
11
11
00
00
00
10
01
00
10
10
01
00
10
00
00
01
10
01
01
00
01
10
11
00
11
11
10
11
00
11
00
10
10
01
01
10
00
01
00
01
00
10
10
11
00
01
10
10
10
00
10
00
10
10
00
00
00
00
10
10
00
00
00
10
10
10
00
00
10
10
10
11
00
00
00
01
10
00
00
10
00
10
01
10
11
10
01
00
10
11
10
01
00
11
10
01
00
10
00
10
00
00
00
10
10
01
00
00
10
00
10
00
10
10
01
10
10
00
00
10
10
10
10
10
10
01
00
10
10
00
00
01
00
00
10
10
00
10
10
00
11
10
11
00
00
01
00
10
10
00
00
10
11
00
01
00
11
11
10
00
01
11
10
10
00
11
11
01
01
01
00
00
10
10
00
10
00
00
00
10
10
00
00
11
00
00
10
00
11
10
00
00
00
00
11
11
11
01
01
00
10
00
10
10
00
01
11
10
00
10
01
00
11
00
01
10
11
10
10
11
00
11
00
01
00
10
11
10
10
00
01
11
10
00
10
10
00
01
00
10
01
00
10
00
10
00
00
10
01
00
01
00
10
10
10
01
00
00
01
00
00
01
01
11
00
01
11
00
10
00
10
11
11
00
11
11
00
01
00
10
01
01
10
00
10
10
00
11
00
10
00
11
00
00
00
10
11
01
01
00
10
00
01
10
10
10
01
00
00
10
01
00
10
11
00
10
10
10
01
10
00
00
10
00
11
00
10
01
00
10
00
10
01
10
00
01
11
00
00
01
01
00
10
10
00
00
10
01
00
10
10
00
10
01
01
10
11
00
10
00
00
11
00
10
10
00
10
11
01
10
10
00
00
11
00
01
10
10
10
01
00
01
01
10
00
11
00
00
11
10
10
11
00
11
11
10
00
00
00
10
11
00
10
00
01
10
01
00
00
10
01
00
01
01
10
10
00
10
00
10
01
01
00
10
01
10
11
01
10
00
10
11
00
01
11
10
01
11
10
00
00
11
00
10
11
00
10
01
00
11
01
01
00
10
10
00
00
00
10
10
00
00
10
01
01
11
10
00
10
10
00
01
10
11
01
01
10
10
01
10
00
01
00
11
10
01
10
11
01
01
10
11
01
01
00
10
10
01
00
10
10
00
00
00
01
01
11
01
00
00
10
00
00
11
10
00
00
11
00
10
10
01
01
11
00
10
10
10
10
00
10
10
00
00
10
00
00
10
01
01
01
00
01
01
10
10
00
11
10
00
11
00
10
10
01
11
10
10
00
00
00
11
10
01
01
00
00
01
10
11
10
01
00
00
11
11
10
11
01
00
10
11
01
01
10
11
00
00
10
10
10
00
11
10
01
00
00
01
01
11
11
01
11
01
01
11
10
00
00
11
10
00
00
10
11
00
00
10
01
00
01
00
10
00
10
10
01
01
00
10
10
10
10
00
11
11
01
00
00
00
00
00
01
10
10
01
10
00
11
10
11
00
00
10
00
00
01
01
10
10
10
10
10
00
10
01
01
10
00
01
10
10
10
10
00
01
00
00
10
01
01
10
10
00
00
10
01
11
10
10
11
01
00
11
10
01
01
00
00
10
11
10
10
00
01
00
11
00
01
00
10
01
00
00
10
10
10
10
01
11
00
10
00
00
00
10
00
10
10
11
00
01
11
11
01
00
00
10
00
00
00
10
10
00
00
10
11
00
10
10
10
11
10
00
10
00
11
00
10
11
00
01
01
01
00
11
00
00
00
10
11
10
00
10
10
11
10
10
11
10
00
10
01
10
01
00
10
11
00
10
10
01
00
11
01
01
11
10
10
11
10
01
00
11
11
11
01
01
10
00
00
10
11
00
01
10
01
00
00
00
01
10
11
00
01
00
11
10
10
10
01
01
10
10
00
10
00
00
11
00
00
10
10
00
10
10
10
01
10
00
10
01
00
11
00
10
10
10
00
00
00
11
00
10
00
10
10
00
10
01
00
01
10
11
10
11
11
00
00
10
11
00
01
10
00
10
11
01
10
00
01
01
10
10
00
11
10
00
10
10
00
11
01
00
00
10
10
10
00
00
11
11
10
10
10
00
00
01
10
00
00
10
00
10
10
00
10
00
11
10
01
11
10
01
01
11
11
11
00
11
10
01
10
10
00
00
00
00
10
10
10
00
10
10
10
10
00
00
00
11
01
00
01
01
11
10
11
10
00
11
01
01
00
10
10
00
00
01
11
00
11
11
01
11
00
10
00
00
00
10
10
00
00
10
11
00
00
10
10
11
11
01
10
00
01
00
11
00
01
11
10
01
10
01
00
11
10
00
01
01
10
00
10
10
01
11
00
10
10
00
10
10
01
00
11
11
00
10
10
10
00
11
10
00
00
01
11
10
00
00
10
01
01
10
11
01
00
11
01
00
00
10
10
00
10
10
00
00
10
00
10
10
01
01
01
11
00
00
10
00
10
11
00
00
10
11
00
01
10
11
10
01
11
10
00
00
10
01
01
11
01
01
10
00
10
11
00
11
10
00
10
11
10
11
00
01
00
01
11
00
10
10
00
01
10
10
00
10
00
00
01
10
10
00
00
11
10
01
10
00
11
00
00
11
10
00
00
10
10
11
10
11
00
01
10
00
11
00
11
10
10
11
11
01
00
00
11
10
00
01
00
00
00
10
10
00
01
10
01
10
10
10
10
10
11
01
00
00
00
00
01
11
10
00
00
00
00
00
10
11
00
10
10
01
00
10
00
00
10
11
00
10
01
10
10
10
10
00
00
00
10
10
10
00
10
11
00
00
01
01
10
10
00
00
00
10
10
01
00
11
11
10
10
01
10
11
00
00
10
10
00
11
10
01
00
01
11
11
01
01
01
10
11
00
01
10
11
00
10
00
10
10
00
10
11
01
10
00
01
11
10
11
10
11
10
00
00
00
10
00
10
10
11
10
10
01
10
11
01
00
10
10
00
10
10
00
01
10
10
01
10
00
10
00
00
01
10
11
00
01
10
10
10
00
00
10
11
10
00
10
00
11
01
11
00
11
10
10
10
01
10
10
01
11
10
11
01
00
10
10
00
00
00
10
10
10
01
01
00
10
10
10
00
00
10
10
10
00
00
10
11
01
00
10
10
00
00
10
01
00
10
10
00
00
11
01
11
11
01
10
01
00
00
11
10
01
00
11
10
10
10
00
01
11
10
00
11
11
01
00
00
10
10
11
00
00
10
00
01
00
00
11
11
11
01
10
11
00
01
11
00
10
11
01
01
10
11
01
01
10
10
10
01
10
10
11
00
00
11
10
00
00
11
11
10
11
00
01
10
01
10
10
00
01
10
01
01
11
00
11
11
00
11
10
00
10
10
00
11
11
00
00
10
00
10
10
00
11
00
10
00
00
10
10
11
00
00
00
00
11
10
10
00
00
10
01
00
10
10
01
10
10
10
01
00
01
00
00
11
00
10
00
00
10
10
11
11
01
10
10
00
00
10
10
00
00
10
11
11
01
00
11
11
00
00
11
01
00
11
10
00
10
10
00
10
01
10
01
11
01
00
00
01
00
00
10
10
00
10
00
00
10
01
10
10
10
00
11
11
00
00
10
00
10
10
10
00
00
11
11
10
00
00
00
00
01
11
10
11
10
01
00
00
10
11
01
00
01
00
11
01
00
11
10
00
00
11
10
00
00
10
10
00
11
01
01
00
10
11
10
00
11
11
01
10
11
00
10
00
00
10
10
00
00
11
11
10
11
11
10
11
11
11
00
10
11
10
00
00
10
10
10
10
10
10
01
00
00
10
00
10
00
10
11
10
00
10
00
00
10
10
11
10
00
11
10
10
00
10
10
00
00
11
01
10
10
10
01
00
00
10
00
11
10
00
00
10
11
01
11
01
00
10
00
11
10
00
01
11
11
01
11
10
00
00
10
00
00
11
10
10
00
10
10
10
01
00
10
10
11
10
11
10
00
11
01
11
01
11
10
00
00
00
10
11
00
00
00
01
00
10
10
11
00
01
10
10
10
10
01
00
00
10
00
01
00
10
10
00
00
01
10
10
10
01
10
10
01
00
11
11
01
00
00
10
10
00
01
00
10
11
11
10
00
10
01
00
10
10
01
00
10
11
00
10
11
01
00
00
11
10
00
00
00
00
10
00
00
00
10
00
01
00
10
01
00
11
00
01
11
10
11
01
10
10
11
00
01
10
10
00
01
01
01
00
00
01
00
11
10
00
01
10
10
01
00
11
00
10
00
10
00
11
11
00
11
00
11
01
00
00
00
00
01
00
10
11
01
00
10
11
10
11
11
00
00
10
10
00
00
10
10
10
00
00
01
10
11
00
11
10
01
00
00
10
11
00
01
11
11
00
00
10
00
10
10
00
01
11
10
10
10
10
00
10
01
01
10
00
00
10
10
10
00
10
11
00
10
00
10
10
00
11
10
10
00
00
11
11
10
10
10
00
00
11
10
00
01
00
10
01
10
00
00
10
01
10
11
10
11
00
11
00
10
00
00
10
10
01
10
11
01
10
00
10
00
01
00
11
10
10
00
01
01
10
00
00
11
10
01
10
10
01
01
00
10
01
01
01
10
01
11
11
10
10
01
00
00
10
11
00
00
01
10
00
00
10
10
01
10
00
11
11
00
10
11
00
01
10
10
10
01
10
00
00
01
01
10
00
10
10
00
00
10
00
10
00
01
10
00
00
10
10
00
01
11
01
00
00
10
01
10
00
10
10
10
00
00
10
00
01
00
01
10
10
11
00
00
00
11
10
00
10
10
00
11
11
01
10
01
00
01
00
10
10
10
10
11
10
01
00
01
00
00
01
00
10
10
10
00
10
10
00
10
01
10
00
10
10
01
10
01
10
00
10
01
01
11
01
00
00
10
11
00
10
11
10
10
01
00
10
11
01
00
00
10
10
00
10
10
00
00
11
11
01
01
10
00
11
10
10
10
11
01
01
10
01
01
00
00
01
00
10
00
00
10
00
00
00
10
10
00
10
01
00
01
00
01
00
11
11
10
11
00
11
11
00
01
00
11
10
11
00
00
10
10
00
00
01
11
00
00
10
01
01
11
00
01
01
00
10
10
00
11
11
01
11
10
10
10
10
10
00
00
10
00
00
10
11
00
10
00
01
00
10
10
10
11
00
00
10
11
11
11
00
10
10
00
00
10
10
01
01
11
10
10
00
00
10
01
00
10
11
10
10
00
10
00
00
00
10
00
00
11
00
10
11
11
11
01
11
01
00
00
10
01
00
00
10
10
01
00
00
10
10
11
00
00
01
00
11
01
00
00
00
00
01
00
11
10
00
10
00
00
10
00
00
11
10
11
01
11
00
10
00
11
10
01
10
10
11
10
00
11
11
00
01
00
00
00
10
00
00
01
10
10
10
00
11
11
11
00
00
11
11
00
00
11
10
10
10
10
01
00
00
01
11
01
10
10
00
10
10
11
00
01
10
10
00
00
00
10
10
00
00
10
11
10
00
01
11
00
10
10
01
00
00
10
10
10
10
00
00
00
00
00
10
01
10
01
10
00
00
00
11
11
01
11
00
10
00
11
10
00
01
01
10
00
10
10
10
10
00
00
11
00
00
11
11
00
00
11
01
11
11
00
11
11
11
01
10
10
00
10
11
00
00
11
10
00
00
10
00
11
10
01
10
00
11
11
10
01
01
10
11
11
11
00
01
00
10
11
00
11
00
10
00
10
10
10
10
00
10
10
00
00
10
00
00
01
01
11
11
01
00
00
11
00
11
11
10
00
10
11
00
11
00
00
00
00
11
11
00
01
00
10
01
10
01
11
10
01
00
10
10
00
00
11
11
00
00
11
10
00
10
10
01
01
00
01
00
01
01
01
10
00
00
10
00
11
10
00
01
00
00
10
00
10
00
00
10
00
10
00
10
00
10
01
00
11
00
00
10
11
00
00
10
10
10
01
10
00
00
10
10
11
00
10
10
11
01
10
11
10
00
10
11
00
00
00
11
00
00
11
10
01
00
00
10
00
01
10
11
00
10
00
10
10
10
11
00
01
10
00
01
01
10
11
01
00
10
10
00
01
00
10
10
00
00
10
10
11
00
10
00
11
10
00
01
00
11
00
11
11
11
00
01
10
10
01
01
00
11
10
00
10
01
00
10
10
01
10
01
10
10
11
11
11
11
01
01
10
11
11
11
11
01
10
10
01
00
00
11
10
01
00
01
11
01
01
00
00
10
00
01
10
11
01
10
11
00
10
01
10
10
10
01
10
11
01
00
10
10
00
00
10
11
10
01
00
00
10
10
10
10
00
01
10
11
00
00
01
01
10
11
01
11
00
01
00
01
00
10
10
00
10
11
01
01
11
00
00
11
01
00
10
10
00
11
10
01
10
11
10
00
10
00
00
10
11
11
10
10
00
00
10
00
00
01
11
00
10
00
10
11
00
11
00
01
11
01
10
11
00
00
10
10
00
01
00
10
10
10
01
10
11
00
00
00
00
10
11
00
10
01
00
11
11
01
00
00
00
00
10
11
00
10
10
00
01
00
01
00
00
10
11
11
00
11
10
00
01
00
10
00
10
11
01
11
10
00
10
10
10
00
01
11
10
10
00
11
11
01
00
10
01
10
00
00
10
10
00
00
00
00
01
01
11
01
10
10
00
10
00
00
00
10
00
10
00
10
10
01
11
11
11
10
10
00
01
10
00
00
10
10
00
11
01
01
10
00
01
10
00
10
11
10
00
11
10
00
01
01
01
00
00
10
00
10
11
00
01
10
11
10
10
10
00
11
10
00
01
10
11
11
00
00
11
11
11
01
00
00
10
10
11
11
01
00
10
01
10
00
00
11
11
00
11
10
00
10
01
00
11
00
00
00
10
10
10
00
01
00
10
10
01
11
11
10
10
10
00
11
00
00
01
00
11
10
10
10
10
10
10
10
00
00
10
00
00
10
10
00
00
00
00
11
10
10
11
00
10
00
00
10
11
00
00
01
10
01
00
01
10
10
01
00
01
10
10
11
10
00
10
10
00
01
01
11
10
10
11
00
11
10
10
00
01
00
10
11
00
00
01
10
10
00
10
01
00
11
00
00
00
00
00
00
10
11
11
10
10
01
01
01
01
01
10
01
10
10
10
00
00
10
10
00
01
00
00
10
00
10
00
00
10
01
01
10
11
10
00
01
11
11
00
10
11
00
00
10
10
11
11
01
00
10
10
11
00
00
10
10
10
10
10
00
10
11
10
00
10
11
00
00
10
10
00
10
01
11
11
11
00
00
11
10
00
10
10
01
10
11
10
11
00
01
11
11
00
01
01
10
10
11
00
01
00
01
11
10
10
00
00
10
10
10
00
00
00
00
01
00
00
10
01
01
00
10
11
10
11
00
00
10
10
00
00
10
10
00
00
11
00
11
10
00
01
00
10
00
00
11
11
11
00
00
10
01
01
00
11
11
01
00
00
00
10
11
00
10
01
00
10
10
10
10
10
01
00
00
10
00
00
11
10
11
10
11
10
10
10
00
11
01
11
10
10
00
00
00
00
10
11
00
10
00
10
10
00
00
10
10
00
01
01
10
00
00
01
01
00
10
10
10
10
11
10
01
10
10
01
10
01
01
00
10
00
00
10
00
01
01
00
11
11
00
10
10
00
01
00
10
10
10
01
00
00
01
11
00
11
11
10
00
01
00
01
11
10
10
00
10
11
11
11
01
01
01
11
00
00
11
10
11
00
00
10
01
01
10
11
00
11
10
10
00
01
00
10
00
01
00
11
01
00
00
10
11
11
10
00
00
00
01
10
11
00
00
00
01
10
11
00
01
11
00
00
01
10
11
00
10
00
01
10
10
10
00
10
11
01
00
10
10
10
00
00
10
01
00
00
10
00
11
10
10
00
01
10
00
10
00
00
00
10
00
00
10
10
01
00
01
11
10
11
00
00
10
10
00
00
10
01
10
00
00
01
00
00
00
11
11
00
10
01
00
00
10
00
10
11
01
11
11
00
11
11
00
01
11
00
00
00
10
00
10
10
00
11
00
10
11
01
00
10
11
11
01
00
00
10
01
00
00
10
10
10
00
00
10
00
00
00
00
00
10
11
00
01
00
11
10
00
10
11
10
10
00
00
10
10
00
00
00
10
00
00
10
10
01
00
11
10
01
10
00
10
11
01
10
10
11
00
01
01
00
10
10
10
11
00
00
11
00
00
00
01
01
00
10
10
01
01
10
11
10
00
10
10
01
00
11
10
01
01
01
01
10
11
00
10
00
01
00
11
00
01
01
00
00
10
10
10
00
01
00
11
00
11
00
10
01
11
11
10
10
01
10
10
00
10
10
00
00
10
00
01
00
00
11
00
10
00
10
10
10
11
00
10
01
00
11
10
10
00
01
11
10
11
01
01
00
00
11
10
00
11
00
01
10
11
00
00
10
10
11
00
10
00
00
11
00
10
10
10
00
01
11
00
11
10
10
10
10
01
00
10
10
10
00
00
00
00
00
01
10
10
00
11
11
00
10
10
00
01
01
11
10
10
00
01
10
11
01
00
11
00
10
10
01
00
00
10
00
00
10
00
10
11
00
10
10
00
11
10
00
00
00
01
11
00
00
10
10
00
10
00
00
11
00
10
11
00
01
10
01
10
01
00
00
00
11
01
00
10
10
01
11
00
00
11
00
00
10
11
00
10
10
00
10
10
00
10
10
00
00
10
00
10
10
01
01
10
00
00
00
00
10
10
00
00
10
10
00
01
10
00
00
00
01
11
01
10
00
00
00
01
00
01
11
11
11
00
01
10
10
01
00
00
10
00
01
00
10
11
11
10
11
01
00
10
00
00
00
10
00
10
11
10
10
00
10
00
11
10
10
01
10
10
01
10
00
00
10
11
11
11
10
10
10
00
00
00
10
11
10
01
10
00
10
10
00
00
10
11
00
10
00
01
00
11
10
00
11
01
01
10
00
11
10
00
01
10
11
01
01
01
10
10
00
01
00
01
10
10
10
00
10
11
10
00
11
10
00
01
01
10
00
00
00
01
11
11
10
10
10
10
11
01
00
00
10
00
00
01
00
11
10
11
10
00
01
10
00
10
11
00
00
00
10
01
10
01
00
10
11
10
01
10
11
00
01
11
00
11
10
00
11
10
01
01
01
10
00
10
10
00
00
00
10
10
00
10
00
00
00
00
11
00
10
10
10
10
10
01
01
10
11
00
10
11
00
00
10
00
01
10
00
10
11
01
11
01
10
00
00
01
00
10
00
01
00
01
10
00
00
10
00
11
01
11
00
00
10
00
10
11
00
10
01
01
10
00
11
10
00
00
10
10
11
01
01
10
10
01
01
10
10
00
00
00
10
11
00
10
00
10
00
11
10
00
10
11
01
01
11
01
00
01
10
01
11
10
00
00
00
01
00
10
10
01
10
10
00
10
10
00
01
10
11
00
00
10
10
00
10
00
01
11
10
00
00
00
10
01
10
10
10
10
00
00
11
11
10
00
00
10
10
01
01
11
00
01
10
10
10
10
10
01
10
11
00
01
00
10
10
01
10
00
11
10
10
00
11
00
00
00
11
00
01
00
11
00
10
00
11
11
01
10
11
11
01
11
00
00
10
00
11
00
00
01
00
10
01
00
10
10
00
00
11
00
11
00
00
00
01
10
00
01
10
10
10
01
00
00
10
10
00
00
01
10
00
11
10
00
11
01
01
01
01
11
10
01
10
10
00
10
00
01
00
00
11
10
10
11
10
11
01
00
10
10
00
11
00
00
00
10
11
10
01
01
00
11
01
00
11
00
00
11
10
00
01
00
10
01
00
00
10
10
01
10
10
01
00
10
00
11
10
00
10
10
00
00
10
10
10
00
00
00
00
00
10
00
01
10
10
10
00
11
00
00
10
11
01
10
01
00
00
10
00
10
11
10
00
11
11
00
11
10
00
10
10
01
10
10
00
00
10
01
10
11
11
10
10
00
10
10
10
00
00
11
11
11
00
10
01
00
10
10
00
00
10
10
00
01
11
00
11
01
00
10
10
00
10
01
01
10
11
00
10
11
10
01
10
10
10
00
10
11
00
00
11
00
11
10
11
00
01
10
11
10
11
11
01
00
10
01
00
10
10
11
00
10
10
00
10
00
10
10
10
01
00
00
00
01
01
01
01
01
11
00
11
00
10
01
01
10
10
10
01
10
00
01
10
10
10
10
10
00
10
10
00
01
11
10
00
00
00
00
00
01
11
00
00
10
00
11
00
00
11
11
10
00
00
00
00
11
11
00
11
11
11
10
01
00
10
11
11
10
00
00
10
01
01
10
10
00
00
00
10
10
01
00
10
00
10
01
11
01
00
00
10
00
11
11
00
00
01
01
10
10
11
01
10
01
00
10
10
00
00
00
10
00
00
10
10
10
00
01
10
10
00
00
01
11
10
10
01
01
11
00
00
00
10
10
00
11
10
00
00
00
00
01
00
10
11
01
00
00
01
10
11
00
10
01
11
11
00
00
10
11
01
01
11
11
11
11
01
00
10
11
00
00
11
11
00
00
10
10
00
10
11
01
01
00
10
10
10
11
00
01
10
10
10
11
00
00
00
10
10
01
10
11
00
00
10
11
01
00
00
11
00
10
00
00
00
10
10
00
00
10
10
00
01
10
00
00
00
10
10
00
10
11
00
10
10
10
10
00
01
10
01
00
00
00
11
10
00
00
10
00
00
10
00
10
00
01
00
10
00
11
11
10
01
01
00
10
10
01
00
11
11
10
01
10
10
10
01
01
10
11
10
10
00
01
10
10
00
00
10
00
01
11
00
00
01
00
11
01
10
11
01
10
11
10
00
10
10
00
00
11
01
00
01
00
10
10
10
00
00
10
10
00
10
10
00
01
10
10
00
10
10
11
00
01
10
10
10
01
11
10
00
11
00
01
00
10
10
10
10
01
10
10
10
00
11
10
00
10
00
00
00
11
00
00
00
10
10
10
11
01
10
00
01
11
01
10
11
01
00
00
01
01
10
00
00
10
10
00
10
11
01
00
01
11
10
10
01
00
01
00
10
01
10
01
10
00
00
10
00
11
00
00
01
01
10
00
00
10
00
10
00
10
01
01
00
11
01
01
01
11
00
11
11
00
00
10
11
01
01
11
10
01
10
01
10
10
00
00
10
10
11
01
10
11
01
11
01
11
01
10
11
00
10
01
11
10
00
00
10
10
10
01
00
11
10
10
01
10
00
11
10
00
10
10
01
11
11
01
00
10
10
10
00
10
11
01
11
00
11
01
01
00
01
11
11
00
10
10
00
10
10
10
00
00
10
01
00
00
00
01
10
00
10
10
00
00
11
01
11
00
10
10
00
01
00
00
10
00
10
10
11
10
10
10
10
11
00
01
01
10
11
01
00
00
10
00
11
01
00
11
01
10
11
01
00
11
10
00
00
00
10
00
00
10
00
10
11
00
01
00
01
00
10
11
01
00
11
01
00
00
10
11
00
01
10
00
00
10
11
10
01
01
00
00
11
10
10
01
01
10
10
00
10
10
10
00
00
10
10
10
10
10
10
00
10
01
10
01
01
10
10
01
11
00
00
10
00
00
01
10
10
10
10
10
01
01
10
11
00
01
01
11
10
10
10
10
10
00
00
11
11
11
00
01
10
10
10
10
00
10
10
00
01
10
11
01
00
01
00
00
11
11
00
10
00
00
00
11
11
01
01
10
11
11
10
00
00
10
10
00
11
10
00
10
10
10
00
10
10
00
01
00
11
01
00
11
01
10
10
00
00
11
01
11
10
00
00
01
00
01
10
10
10
10
00
00
00
10
00
11
00
00
01
11
10
11
10
01
10
00
00
10
00
11
10
10
11
10
10
10
11
00
10
10
10
00
11
00
10
00
10
10
01
10
00
10
10
00
00
10
11
00
00
01
10
11
10
00
00
00
10
11
10
10
10
00
10
00
10
01
00
11
00
00
00
10
00
00
01
00
01
00
10
00
10
01
11
00
00
10
10
10
00
01
10
11
00
11
11
00
10
00
01
10
10
00
10
10
00
11
11
01
00
00
01
10
01
00
11
10
11
00
10
10
10
10
01
01
11
00
00
11
01
11
00
00
10
01
10
00
10
01
01
10
10
10
10
00
00
01
11
11
10
00
11
10
01
11
00
00
11
10
11
11
00
01
01
10
11
10
01
00
11
10
10
01
00
10
10
00
00
00
10
00
00
10
00
10
10
10
01
00
01
10
11
10
10
10
00
00
10
00
01
00
00
10
00
01
10
10
11
00
10
10
10
00
11
00
00
01
10
00
10
00
10
10
01
10
01
01
11
01
01
01
11
10
10
10
01
00
11
10
00
10
00
10
10
00
10
10
01
00
10
00
10
00
01
10
01
01
11
10
10
00
10
00
00
10
11
10
00
10
00
00
11
10
10
00
00
00
01
01
10
10
01
10
00
00
11
10
11
01
01
11
00
10
10
00
01
00
10
00
01
01
10
10
11
10
00
10
01
10
00
00
10
01
10
00
01
00
00
11
10
10
01
00
10
10
00
10
01
11
00
11
10
01
11
00
11
11
01
00
00
10
10
00
00
11
01
00
11
10
00
10
10
00
10
10
01
00
01
10
10
00
01
01
00
00
10
01
01
11
10
10
10
10
11
00
01
01
10
11
11
01
00
11
10
10
00
01
10
00
00
10
00
11
10
00
10
00
10
11
00
11
11
00
00
11
00
10
11
10
01
00
10
00
10
01
01
00
11
00
11
11
01
00
00
11
11
01
10
10
00
00
00
11
00
01
11
00
10
10
01
00
00
10
00
10
00
10
10
01
10
11
00
11
10
00
00
10
10
00
10
10
01
01
10
10
10
10
11
00
00
10
10
11
01
01
10
11
01
01
00
00
10
11
00
00
10
00
00
10
00
10
00
00
01
00
10
01
01
11
10
10
00
00
00
00
11
00
10
10
10
10
11
00
10
01
10
10
01
00
11
00
11
01
01
10
10
10
00
01
10
11
11
10
11
01
01
11
10
00
01
10
00
00
10
00
10
10
00
10
00
00
11
10
10
01
00
00
11
00
00
11
11
00
10
11
10
00
11
01
00
10
11
00
11
10
10
00
00
11
11
00
00
10
11
00
10
10
10
01
00
10
10
00
10
10
11
00
01
10
00
10
10
10
01
00
10
11
10
00
00
11
01
00
01
11
00
00
10
10
10
10
01
00
11
00
00
10
10
00
10
11
01
10
11
01
10
00
11
00
01
01
10
10
00
01
00
00
00
10
11
01
00
10
00
00
10
10
00
10
11
00
10
01
10
11
10
10
00
00
00
10
00
00
11
00
00
10
11
00
11
11
00
00
11
10
00
11
00
01
00
10
10
00
10
01
01
00
01
00
10
00
00
10
10
10
11
01
00
01
00
11
00
01
10
01
00
00
00
11
10
00
00
11
10
01
11
11
01
10
01
00
10
10
00
00
10
10
10
00
01
10
01
00
11
00
11
10
10
00
11
10
01
10
11
10
10
10
10
00
00
10
10
11
01
00
01
10
00
10
00
10
10
11
00
10
10
01
11
10
00
01
00
10
01
10
10
00
10
01
10
00
00
11
10
11
11
00
00
00
01
00
00
10
10
00
11
00
00
10
10
11
00
10
01
01
10
01
10
00
01
11
01
00
10
10
11
00
10
00
11
10
01
01
00
00
00
00
10
01
00
10
10
10
00
11
00
10
01
00
01
11
10
00
00
00
10
01
11
10
00
01
01
11
11
01
00
10
01
10
00
01
10
10
10
00
10
10
10
00
11
11
10
01
01
01
10
10
01
00
10
11
11
00
01
10
00
00
00
10
10
00
00
10
10
10
10
00
01
00
11
11
11
10
10
00
10
10
00
01
01
10
10
00
01
10
00
10
10
00
00
10
00
00
00
01
00
10
11
00
01
01
01
10
00
11
10
10
00
01
10
01
10
11
00
00
10
00
10
00
00
10
10
00
00
00
10
11
10
00
10
10
10
01
10
00
01
11
01
11
00
01
10
10
01
00
11
10
10
01
01
11
10
10
00
10
00
00
00
10
00
00
01
11
10
00
01
01
10
10
00
11
10
10
11
01
00
11
11
10
10
00
10
01
10
01
00
10
11
01
11
11
01
10
10
11
10
01
00
10
10
11
11
00
10
11
10
00
01
01
00
10
10
00
00
10
10
00
00
01
10
00
00
10
10
11
11
00
00
11
00
11
00
10
10
00
10
10
11
00
10
11
10
11
11
11
01
01
10
11
10
00
10
11
01
00
00
10
10
10
11
00
10
10
10
10
11
11
01
00
10
00
00
11
11
01
01
00
00
10
00
00
01
10
10
11
10
10
10
00
10
00
10
01
11
00
00
00
00
11
00
00
00
11
10
10
00
01
10
10
10
00
00
10
00
10
00
00
01
10
00
00
01
10
01
00
10
10
00
10
10
00
00
11
01
01
01
10
11
00
00
10
10
01
00
11
11
00
10
01
10
00
01
10
01
11
10
10
01
11
11
00
10
01
00
10
00
00
11
00
10
10
01
10
10
11
01
00
10
10
00
01
00
10
01
00
10
01
01
00
01
00
10
10
10
10
10
10
00
10
00
00
00
10
10
01
10
10
11
11
11
10
00
01
01
00
11
10
11
01
11
00
00
11
00
10
11
10
10
00
00
10
10
00
00
00
11
01
01
10
11
10
11
00
00
11
10
10
00
00
11
00
00
10
11
10
00
00
01
00
00
01
10
00
01
11
11
00
00
01
10
11
11
11
00
00
10
11
01
00
10
10
10
00
00
01
01
10
01
10
00
01
01
01
10
00
00
00
01
00
11
11
11
01
00
10
11
11
11
10
00
00
10
01
10
10
00
00
10
11
10
01
01
00
11
10
11
01
10
10
11
01
00
01
10
00
10
11
00
01
10
10
10
00
10
10
00
10
10
10
00
01
10
00
11
00
00
01
10
00
11
00
10
00
00
11
10
10
01
11
10
00
00
10
00
00
11
10
00
10
10
00
00
10
10
11
00
10
10
00
10
00
10
10
00
11
10
11
10
00
01
10
00
00
10
10
01
01
10
00
01
11
01
10
10
11
11
10
10
00
10
01
00
00
10
00
10
00
00
00
10
10
00
00
01
11
00
11
10
00
11
01
00
11
10
00
11
11
00
01
10
10
10
11
10
00
00
01
00
01
00
10
11
10
10
00
10
10
11
00
01
11
01
11
10
10
00
11
11
01
00
10
10
10
10
10
00
00
10
10
01
10
10
00
00
10
10
10
00
00
11
10
11
00
00
01
10
00
00
10
11
10
01
00
10
01
00
00
11
11
10
00
00
00
11
11
11
00
10
10
00
11
10
00
01
01
01
11
10
00
00
10
10
10
01
01
00
11
10
11
00
01
01
00
10
00
10
10
11
00
00
01
00
10
10
10
00
11
00
00
00
00
10
00
10
11
10
10
00
10
10
11
11
01
00
10
00
00
01
11
00
00
00
11
00
01
11
11
00
00
10
00
00
10
00
11
11
00
10
00
00
01
10
11
01
00
10
00
10
10
11
00
00
00
10
10
10
10
01
10
10
10
00
00
10
10
00
00
10
10
10
10
01
01
11
00
01
11
01
00
10
10
10
01
01
00
10
00
00
00
10
10
00
00
11
11
00
00
11
01
10
00
00
10
10
01
00
11
10
00
00
00
00
10
11
10
11
00
00
00
11
11
00
00
11
10
01
00
00
10
10
00
00
10
10
00
00
01
00
11
00
10
10
10
10
10
10
00
01
10
11
01
00
10
01
00
10
01
01
00
01
00
01
11
00
11
10
10
00
11
00
00
11
00
10
10
10
11
00
11
10
00
01
00
00
00
10
10
10
00
10
11
00
00
01
10
10
00
11
11
00
10
00
11
10
00
11
10
00
00
00
11
00
01
10
01
01
10
10
11
10
00
00
10
10
11
00
01
01
10
00
00
10
00
01
11
00
01
11
11
00
00
10
01
11
11
00
10
00
01
00
00
10
10
00
11
00
01
10
00
00
11
10
10
00
00
10
00
01
01
00
11
01
01
01
10
01
00
10
10
10
10
01
01
10
01
00
00
10
11
10
00
00
00
10
11
10
10
10
00
00
00
10
00
11
10
01
10
01
10
11
00
00
01
11
00
01
10
10
00
00
11
00
00
11
00
10
10
01
00
01
01
00
11
00
10
00
01
10
10
00
00
10
10
00
00
01
00
10
10
10
01
11
00
10
11
10
01
01
01
00
00
11
10
10
00
01
10
00
00
10
00
11
01
00
00
00
00
00
00
00
11
10
01
00
00
10
00
00
11
00
01
00
01
00
10
01
01
00
11
01
00
01
10
11
11
10
01
00
00
10
10
01
10
01
00
10
11
00
10
01
00
11
00
11
01
11
00
10
01
00
10
00
00
10
11
10
11
00
10
00
10
10
00
10
00
01
00
01
00
11
11
11
00
11
00
10
10
00
10
10
00
00
00
11
00
00
10
10
00
10
00
10
11
00
10
11
00
00
11
00
11
10
01
00
00
10
11
00
00
10
10
11
00
00
10
10
11
00
01
10
01
01
00
00
00
11
10
01
01
10
00
00
10
00
11
00
01
10
00
01
00
10
10
00
00
10
00
00
11
11
10
01
00
10
00
10
10
00
00
11
10
01
10
10
00
10
10
10
10
01
11
10
10
00
00
10
01
11
00
11
01
10
00
11
10
01
01
10
11
00
00
11
10
01
10
11
00
01
10
00
11
11
10
00
00
10
00
00
11
10
10
00
00
10
01
10
10
00
01
10
11
10
01
00
01
10
10
10
10
00
11
11
00
10
00
00
00
01
00
01
01
10
10
11
11
11
11
00
00
01
10
10
10
00
01
01
00
11
11
00
00
11
10
01
01
10
11
10
00
01
10
11
01
00
11
00
01
01
00
10
00
10
00
00
11
01
01
10
10
01
00
11
00
10
10
10
10
00
00
10
11
10
10
10
10
10
01
00
00
00
01
11
10
00
11
01
00
10
10
10
00
01
01
11
01
11
10
10
11
10
01
00
11
10
00
00
10
00
01
10
00
10
10
00
11
01
10
00
01
11
10
10
10
01
10
00
00
10
00
00
00
10
11
00
11
00
00
01
00
10
10
01
10
00
01
10
11
10
00
00
11
10
00
01
01
10
10
10
10
10
11
00
01
00
00
10
01
00
10
10
10
00
00
11
10
10
00
10
11
11
10
00
01
11
11
10
00
00
00
00
00
11
01
11
10
00
10
00
00
00
11
10
01
00
11
10
10
01
01
00
10
01
01
00
10
11
10
11
00
00
00
10
00
11
00
01
10
10
10
10
00
01
01
01
11
10
11
01
01
10
10
01
00
10
10
00
00
10
00
00
01
10
10
11
01
11
01
00
10
11
00
10
10
10
01
00
10
01
00
10
01
00
10
10
00
00
00
00
10
10
00
10
10
01
01
11
01
00
00
11
00
10
10
00
00
01
10
10
11
00
00
11
01
00
00
00
00
11
00
10
11
10
01
10
10
10
10
10
01
00
11
00
00
11
11
00
00
00
11
10
01
01
10
10
00
11
11
01
00
00
00
10
10
01
10
10
00
10
10
00
00
10
00
10
11
10
00
00
00
10
01
11
10
11
10
10
00
01
01
01
10
11
10
00
10
11
00
11
11
00
01
00
01
00
10
11
00
10
10
11
10
11
01
00
00
00
01
10
00
00
00
00
00
10
00
11
11
10
00
00
01
10
00
00
00
00
10
00
11
10
11
10
10
10
00
10
00
00
11
10
11
11
11
00
01
00
10
00
10
10
00
11
01
10
00
00
01
00
10
10
00
00
00
00
01
00
00
11
01
11
00
10
11
00
00
00
00
10
10
10
00
10
01
00
00
11
11
01
00
10
00
00
10
10
11
00
00
10
01
00
01
00
01
11
10
01
00
11
10
01
01
11
00
00
10
10
10
11
00
10
00
00
00
11
00
10
10
10
10
10
11
01
00
10
11
10
00
00
10
10
01
00
00
00
10
10
10
10
11
00
11
01
10
00
00
00
00
01
10
11
10
10
00
00
10
01
00
01
00
11
00
10
01
10
00
01
11
10
10
00
11
00
01
00
00
11
00
11
10
10
00
10
10
11
10
10
11
11
10
10
10
10
01
10
10
00
10
10
00
00
10
01
01
10
10
10
10
00
10
00
10
10
10
10
11
10
10
00
10
10
00
10
00
00
10
01
00
00
11
11
00
11
00
10
00
10
11
00
10
11
10
11
11
00
00
00
10
11
01
10
10
00
00
11
11
01
00
01
10
11
10
00
10
10
11
10
00
00
10
10
11
01
00
10
11
00
01
01
00
10
01
10
00
10
10
10
00
01
00
01
10
10
00
10
00
10
01
01
10
11
01
00
11
10
00
11
01
10
00
10
00
00
11
00
01
01
10
10
10
11
10
00
00
00
00
10
01
11
10
10
00
10
11
00
10
10
10
10
00
10
10
00
01
00
10
00
01
10
11
00
00
00
01
10
10
00
10
01
10
00
00
10
00
11
00
11
10
11
11
01
10
10
11
10
10
00
00
00
01
10
10
01
00
11
00
10
00
10
11
00
11
01
01
00
10
11
00
10
11
10
10
11
00
10
01
11
00
00
01
01
01
10
00
01
00
01
10
11
01
00
11
01
10
11
11
11
00
01
10
10
00
01
11
10
01
00
11
00
10
10
00
00
11
01
00
10
01
11
10
00
01
10
11
11
00
01
00
00
00
00
11
10
10
00
10
00
00
10
00
00
10
00
11
10
00
10
00
01
10
11
00
10
00
11
01
11
01
01
10
10
10
10
10
10
10
01
10
11
10
01
00
10
10
01
10
10
10
00
10
10
10
10
01
00
10
01
01
00
10
11
00
10
10
00
01
00
00
10
10
01
10
01
00
00
10
01
11
00
10
10
10
10
00
00
11
00
11
00
10
11
11
00
00
11
11
00
01
10
10
11
00
00
10
10
00
00
11
10
10
11
11
00
10
11
10
11
10
11
00
11
10
00
10
00
01
11
10
01
00
10
10
10
00
01
01
11
10
00
10
01
10
10
10
00
01
11
11
10
10
00
11
00
00
00
11
11
01
00
00
00
10
10
01
10
10
10
00
11
10
01
01
10
00
10
00
01
10
10
11
10
01
11
11
01
00
01
00
01
10
10
00
00
10
10
00
00
00
11
00
00
10
01
11
01
10
10
11
10
11
10
00
10
11
00
00
01
01
11
00
10
10
00
10
11
10
00
00
10
00
10
11
00
10
10
00
10
11
10
10
10
10
01
00
11
00
10
10
00
10
10
10
00
10
11
10
00
10
10
01
10
00
01
01
10
01
01
00
11
01
00
10
10
00
10
10
00
11
01
00
01
00
10
00
10
01
00
10
10
10
11
01
01
00
10
00
11
00
10
10
00
00
11
10
00
00
00
11
10
00
00
00
00
00
10
11
11
00
11
00
00
10
10
00
10
01
10
10
00
11
00
11
01
01
10
10
01
01
00
10
10
00
10
10
00
00
00
00
11
00
00
01
00
10
01
10
10
11
01
00
00
10
10
10
00
00
00
10
10
00
11
01
10
01
01
00
01
10
10
00
01
10
11
11
00
01
10
11
00
11
10
00
01
10
01
00
10
00
00
00
10
00
00
10
01
01
10
00
00
00
10
00
01
10
10
00
10
01
11
11
00
00
10
11
10
00
00
10
11
10
00
00
00
11
10
00
10
10
00
01
11
00
00
10
10
10
10
00
00
01
00
00
00
00
11
00
10
00
00
00
10
00
10
00
10
10
00
11
00
01
11
11
00
00
10
00
01
10
10
00
11
01
10
01
01
10
00
00
10
10
00
00
00
00
10
11
00
00
11
11
11
11
00
11
01
11
01
10
00
00
10
10
10
11
00
01
10
00
10
10
10
00
00
10
01
10
00
00
10
11
01
00
10
00
10
00
10
00
00
11
00
00
11
11
10
00
00
10
00
00
00
00
11
00
00
01
11
10
10
00
10
01
10
10
01
11
11
11
01
00
01
00
10
10
10
01
00
11
00
10
10
10
00
01
10
01
10
11
00
00
10
01
10
00
01
10
00
11
01
11
00
00
10
10
01
00
00
10
10
01
10
00
01
10
10
11
01
10
11
00
10
10
10
00
11
10
10
01
01
10
01
11
00
00
11
10
01
11
11
00
10
10
00
10
10
10
00
10
10
11
01
10
00
10
01
00
10
01
10
01
00
00
10
10
11
01
00
11
10
00
10
10
00
01
10
01
01
00
10
10
10
00
11
11
11
11
10
11
01
10
01
00
10
10
00
00
00
11
11
00
00
00
01
10
00
11
10
00
01
10
10
00
10
10
01
01
00
10
10
10
00
10
10
11
11
00
01
00
00
01
01
01
01
01
10
10
10
11
01
11
10
10
00
00
01
00
00
11
00
00
11
10
00
10
01
00
10
10
11
10
10
11
01
00
11
00
10
11
00
10
11
10
00
00
00
10
00
11
10
00
00
01
10
11
11
01
01
10
11
10
10
11
00
00
10
11
00
00
00
01
00
10
01
01
01
11
11
01
00
11
11
10
01
10
01
00
00
10
10
01
10
11
00
10
10
00
01
11
10
00
11
01
00
10
10
10
00
00
00
01
11
10
10
00
00
00
00
01
10
01
00
01
10
01
00
00
00
10
10
10
11
00
00
11
01
10
00
10
10
00
01
00
00
10
01
00
00
11
10
01
01
10
10
10
01
00
00
11
10
11
01
00
00
10
01
00
10
11
00
00
11
00
00
10
00
00
00
10
00
00
00
10
01
11
10
00
11
10
00
00
01
00
00
00
11
10
00
01
00
00
00
11
10
01
00
10
10
10
01
11
00
10
01
00
01
01
11
00
00
11
01
11
00
01
10
11
00
00
01
01
01
11
00
10
10
00
10
00
00
10
11
00
00
10
00
00
11
10
00
10
00
00
10
10
11
11
00
11
10
10
10
00
11
11
11
01
00
11
10
10
11
00
00
11
11
00
01
01
00
10
11
10
11
10
01
00
00
11
00
00
10
11
11
01
10
11
00
10
00
01
11
11
01
01
10
10
11
00
00
10
10
01
00
00
00
10
10
01
00
11
10
11
00
00
00
11
11
00
10
00
01
10
10
01
00
00
11
00
11
00
01
10
00
10
10
01
00
01
11
01
00
10
11
00
00
00
11
11
10
11
00
00
10
10
01
00
10
11
00
00
10
10
00
10
00
00
10
11
10
11
11
11
10
11
11
01
10
10
10
01
00
11
00
01
11
11
11
00
10
00
01
11
00
10
00
00
01
01
10
10
00
00
10
01
00
10
11
00
11
11
00
00
11
00
01
11
10
00
10
11
00
00
10
00
00
00
10
10
10
01
11
11
11
10
00
11
01
11
01
00
10
10
00
10
10
00
01
00
11
00
00
10
00
00
01
10
10
11
00
10
11
10
00
00
10
11
01
00
10
00
10
11
00
00
10
01
00
10
00
10
11
01
01
10
11
00
11
00
01
10
11
00
11
11
10
00
01
10
00
11
11
00
00
10
01
10
11
00
01
01
10
00
10
00
01
10
11
00
00
11
00
00
00
00
11
00
00
10
00
00
01
00
10
01
00
10
10
00
00
10
10
11
10
11
00
00
10
00
01
00
11
11
10
11
00
10
10
01
01
10
10
10
00
00
00
00
10
00
00
10
01
11
01
00
00
00
11
01
00
00
10
00
10
10
10
00
10
11
11
11
00
00
10
01
00
01
00
10
10
00
00
11
00
10
11
00
11
10
10
00
10
10
00
10
00
11
10
11
11
11
11
00
01
10
10
01
10
10
01
01
00
01
10
10
10
00
01
00
10
10
11
10
00
11
00
00
00
10
10
01
11
01
00
00
10
10
01
10
10
00
10
10
11
11
00
10
00
00
00
00
11
10
00
00
00
10
00
00
10
01
01
11
10
11
01
10
01
10
00
00
11
11
01
10
10
00
10
10
11
01
01
00
11
00
00
00
10
10
10
01
01
01
01
10
10
00
00
00
10
10
00
10
10
00
10
00
11
10
10
00
10
10
00
01
11
00
01
00
01
10
11
10
11
00
00
10
10
10
00
00
11
01
10
00
00
00
10
10
00
10
00
00
00
01
11
10
11
01
01
10
01
00
10
11
00
10
10
10
00
11
01
00
11
00
00
00
01
10
10
11
00
00
01
10
01
00
11
00
10
00
11
10
10
00
00
10
01
10
00
00
11
01
00
11
00
00
01
00
10
10
10
00
11
10
01
10
01
00
10
10
10
00
00
00
00
11
00
01
10
11
11
10
10
00
10
10
01
00
00
11
11
00
10
00
11
11
11
01
00
00
11
01
11
01
00
00
10
00
10
11
10
00
00
11
11
10
10
01
00
00
10
10
00
00
11
11
10
11
10
10
10
00
00
00
00
10
01
10
10
00
00
10
11
00
01
10
11
10
00
00
00
11
10
00
01
01
10
00
10
00
10
10
10
00
10
00
00
11
10
00
10
10
00
11
11
10
01
00
00
10
00
10
00
10
10
10
10
00
11
00
00
00
11
11
00
10
10
11
00
01
11
01
10
00
01
10
10
10
10
01
11
00
00
10
10
11
10
10
01
01
10
10
10
00
00
10
10
01
00
10
10
11
10
11
01
01
00
10
11
11
01
00
11
00
00
00
10
10
00
11
00
10
10
00
10
00
00
00
00
00
00
10
00
00
00
10
11
00
01
10
10
11
00
10
00
01
10
10
11
01
01
11
10
11
00
10
01
01
10
10
10
00
10
11
00
00
10
01
10
10
00
11
10
01
01
11
10
00
11
01
10
10
01
00
11
00
00
11
00
01
10
00
00
10
00
11
01
00
11
00
10
10
01
11
10
11
11
01
11
00
00
10
10
00
10
10
10
00
01
00
10
00
11
10
00
11
10
00
00
10
11
10
00
10
00
00
01
01
10
10
01
10
00
11
00
11
00
00
11
00
10
10
10
00
01
01
01
01
01
10
01
11
11
00
00
10
10
00
00
01
10
11
10
10
00
00
00
00
10
10
10
00
10
10
11
01
11
00
10
10
10
11
00
11
10
10
00
01
00
00
11
10
10
01
01
01
00
10
11
00
11
11
00
01
00
10
10
00
00
10
11
10
10
00
00
10
11
10
00
10
11
11
10
10
00
00
10
11
10
00
11
01
00
10
11
00
11
10
10
10
11
00
00
11
11
00
01
01
10
00
00
00
00
01
01
10
10
10
10
01
00
00
01
01
00
00
10
01
10
10
10
00
00
01
00
10
00
11
01
11
00
10
00
11
10
01
10
10
10
00
10
00
00
10
11
01
10
10
01
00
10
10
10
00
01
10
10
11
10
01
00
10
10
00
01
00
10
00
11
10
00
10
10
10
00
01
10
01
01
11
10
11
11
10
01
00
01
11
11
00
10
00
00
10
01
10
01
00
00
00
10
11
00
00
10
01
00
11
00
01
10
11
00
10
10
10
00
01
10
00
10
10
00
00
11
10
11
00
00
00
01
11
00
00
10
01
10
00
11
10
00
01
00
10
10
01
01
10
10
01
01
10
00
11
10
00
10
10
00
10
10
00
10
00
00
10
10
00
11
10
11
10
00
00
00
01
10
11
01
00
11
00
01
00
11
10
11
00
00
11
10
11
00
10
10
10
00
00
11
10
11
00
10
10
10
10
01
00
11
11
10
11
10
10
00
00
10
11
11
10
00
00
10
01
00
00
10
11
01
10
10
11
00
10
00
10
11
00
11
00
00
11
11
10
11
00
01
01
11
10
11
00
00
00
10
10
11
01
01
11
11
00
00
01
00
00
11
10
01
10
00
10
00
11
00
10
10
00
10
00
00
10
00
11
11
10
00
10
01
00
00
00
10
10
11
11
11
11
01
10
00
10
01
00
10
10
00
10
11
10
11
01
00
10
00
10
01
00
11
10
11
00
11
00
00
00
11
11
00
01
10
11
11
01
10
11
00
01
10
00
01
11
00
00
00
10
00
10
10
11
00
00
00
00
11
11
11
00
10
11
10
11
00
10
10
00
10
00
10
10
10
00
10
01
01
10
11
10
00
10
10
10
00
00
11
10
10
00
00
11
01
11
10
11
00
00
11
10
01
00
00
10
00
10
10
00
01
10
01
10
01
01
01
00
11
10
01
01
10
10
01
01
10
10
01
01
10
11
01
00
11
00
01
10
10
10
00
10
11
10
10
01
00
11
00
00
01
00
11
01
11
11
00
10
11
11
00
00
00
01
10
11
01
01
10
10
01
00
11
10
00
01
10
00
00
10
10
00
00
01
10
11
00
10
11
10
11
11
11
00
00
00
11
01
00
01
11
10
11
00
00
10
00
01
10
00
10
10
00
10
10
00
11
00
01
00
01
10
00
10
11
00
00
10
10
01
10
01
00
10
10
00
01
10
11
00
10
11
01
11
10
00
01
00
00
00
00
10
00
01
10
00
00
01
00
00
11
11
00
00
10
11
01
01
01
10
10
10
10
00
01
10
00
00
10
10
00
10
01
00
10
00
01
00
00
10
01
10
10
00
10
10
01
01
10
10
00
10
10
00
00
00
10
10
10
01
10
01
11
10
00
11
11
01
11
01
11
10
00
01
11
10
01
00
00
00
11
10
11
01
00
00
10
10
00
01
10
01
00
10
00
10
10
00
10
10
10
10
00
00
11
10
01
10
10
11
10
10
00
01
10
11
11
00
00
10
00
01
01
10
00
11
10
01
00
10
00
01
11
10
00
00
11
10
00
01
11
00
00
01
10
11
00
00
10
01
10
10
11
00
00
01
10
10
00
01
10
10
00
11
00
00
00
01
00
11
00
00
00
10
10
10
10
00
00
10
00
01
01
00
00
10
10
10
01
11
00
00
10
01
00
11
01
00
01
00
11
00
01
10
11
10
11
11
00
11
10
00
11
00
01
00
10
10
10
00
01
10
11
10
10
11
10
00
00
00
10
00
11
00
00
01
00
01
01
10
01
00
11
10
11
00
00
00
10
00
00
10
11
11
01
01
01
11
11
01
00
00
10
10
00
00
10
10
11
00
00
11
10
01
00
01
10
10
00
01
10
10
00
00
01
10
00
10
10
01
10
00
00
01
10
01
00
10
10
10
01
11
01
00
11
10
00
10
10
01
00
10
11
01
00
10
10
11
10
11
11
00
00
00
10
10
01
01
00
10
10
11
00
00
11
00
11
00
10
10
00
00
11
00
00
00
00
01
00
00
10
00
11
00
01
00
00
10
10
11
00
00
10
10
11
01
01
10
01
10
00
00
11
01
10
01
01
11
11
11
00
01
10
10
01
10
10
00
00
11
10
11
01
10
10
10
11
00
00
10
10
11
11
10
00
10
10
01
10
11
01
00
00
00
10
11
00
01
10
11
10
01
10
10
11
00
01
10
01
00
11
10
01
00
10
10
11
01
00
00
00
00
00
00
10
00
10
11
11
11
00
11
00
10
11
00
00
10
11
01
00
00
01
10
10
00
01
11
11
00
11
00
00
11
00
10
00
00
10
00
01
01
00
00
10
00
11
10
01
01
10
00
01
01
00
10
10
10
10
01
10
00
11
10
11
01
10
10
01
00
10
00
00
00
11
01
10
00
10
11
10
10
00
01
01
10
10
11
10
01
11
00
00
01
10
10
00
01
10
11
11
11
00
10
10
00
10
10
11
00
00
00
10
10
10
00
11
11
10
10
10
00
00
00
00
10
01
10
11
01
00
10
11
00
10
00
00
10
01
10
00
00
00
11
00
01
10
00
01
10
10
10
01
01
10
10
00
00
10
00
00
10
01
10
00
01
00
10
00
00
11
10
11
00
00
10
01
10
10
00
10
11
10
00
00
00
11
10
01
00
10
00
00
10
00
11
10
10
10
00
01
00
10
01
11
10
11
00
00
10
11
00
00
10
11
00
10
00
00
10
00
01
11
00
00
00
01
10
10
10
00
10
00
01
11
00
00
10
10
00
10
01
00
10
11
10
10
00
10
11
10
01
10
10
00
00
10
10
10
00
10
00
01
10
00
10
10
10
01
11
01
00
11
00
00
00
00
10
10
00
01
11
10
01
01
11
00
10
00
01
00
11
10
00
10
10
00
00
00
10
01
01
11
10
10
11
01
10
11
10
00
01
01
10
01
00
01
01
11
10
00
11
10
10
00
00
10
10
00
00
11
00
10
00
11
10
10
00
00
10
01
10
10
01
00
01
11
10
11
10
01
10
11
00
00
00
11
10
00
00
11
00
00
10
10
00
00
00
10
01
10
10
11
10
00
01
11
11
01
00
10
10
00
00
11
11
00
10
11
00
11
10
00
00
00
10
10
11
00
01
10
01
00
11
00
10
10
01
11
01
10
10
00
00
10
00
10
00
10
10
10
00
01
10
10
11
11
10
00
01
10
01
00
10
10
00
01
00
01
10
11
00
10
10
01
00
10
10
10
01
10
10
10
11
00
01
01
00
00
10
10
00
00
10
00
00
00
11
11
01
01
01
11
10
01
11
10
00
10
11
01
00
10
00
00
10
00
11
10
10
00
01
00
10
10
00
01
10
01
10
00
11
00
10
00
10
10
00
10
00
10
00
01
01
00
00
01
01
10
01
11
10
10
00
00
10
01
00
10
10
01
00
10
00
10
00
11
10
00
11
01
00
11
10
00
11
01
10
10
10
10
10
01
00
11
10
00
10
11
01
00
11
10
10
11
11
00
01
11
10
10
10
01
10
10
01
00
11
00
10
01
00
10
01
10
00
11
01
11
10
00
10
01
00
10
01
00
10
10
01
11
10
00
00
00
00
10
10
00
00
11
11
11
10
01
00
11
11
00
10
11
00
00
00
00
10
10
00
10
01
00
10
11
10
00
11
10
10
00
11
10
10
01
01
11
10
01
11
00
10
00
00
10
00
10
01
00
11
10
01
01
00
10
00
11
10
10
01
00
10
10
00
10
11
11
10
00
00
00
00
11
00
00
10
10
00
00
10
10
01
00
10
10
01
10
00
00
10
10
10
00
10
01
11
01
11
00
10
00
11
00
10
10
00
00
10
01
10
10
10
10
00
10
10
00
10
10
10
00
00
01
01
11
01
00
10
01
00
10
10
00
00
10
01
10
01
00
11
11
01
00
10
01
01
10
10
10
00
01
00
10
11
10
00
10
01
00
11
00
01
00
00
10
10
11
10
11
01
10
10
00
00
11
01
01
11
10
00
10
10
00
11
00
11
10
00
00
11
00
10
10
00
00
11
01
11
01
11
00
10
00
01
10
10
00
01
10
01
10
10
00
10
10
11
01
01
00
01
00
11
01
00
11
10
00
10
01
00
10
00
01
01
00
01
11
00
10
00
01
00
11
11
00
00
10
01
10
10
00
00
10
00
10
01
00
10
10
01
01
11
01
11
10
00
10
10
01
00
00
10
10
11
11
10
10
11
00
01
00
01
00
10
10
10
00
00
01
10
10
01
01
10
10
10
00
00
10
10
00
01
00
00
00
00
00
00
10
00
10
10
10
10
10
00
11
11
01
01
01
10
10
00
00
10
10
10
01
00
11
11
00
00
00
11
10
10
00
00
00
10
00
10
01
11
10
00
11
00
01
00
10
11
00
01
00
10
10
01
11
10
10
00
00
00
00
10
10
10
01
10
10
11
00
11
00
00
00
01
10
01
10
11
10
10
10
01
01
10
10
00
10
00
00
10
00
00
10
10
01
10
00
10
11
00
00
01
10
11
00
00
11
10
11
00
01
10
00
11
10
01
00
00
11
10
00
10
01
01
11
00
00
10
10
01
00
11
10
10
11
01
11
10
00
00
10
10
01
00
11
01
01
01
00
10
10
10
00
10
11
00
10
10
10
01
10
01
10
10
10
10
11
10
10
01
00
11
11
00
00
10
00
10
10
00
10
01
00
00
10
10
00
00
11
10
00
00
00
10
10
00
00
10
01
01
11
11
00
01
01
00
11
10
01
00
10
00
10
10
10
00
00
00
10
10
00
10
01
00
01
10
00
00
10
01
10
11
00
00
11
00
00
11
10
01
00
11
11
11
00
10
10
01
00
00
11
11
11
00
00
10
10
01
01
10
11
00
10
00
11
10
11
00
00
10
11
00
00
10
00
10
01
00
10
01
10
00
00
10
01
10
10
10
10
10
00
00
00
01
10
10
10
00
10
00
00
11
11
11
11
01
11
01
00
10
01
00
10
10
00
01
01
00
01
11
11
00
10
10
01
01
10
10
00
10
00
00
10
01
00
00
10
00
11
00
00
11
11
10
00
00
00
10
10
10
00
11
00
10
10
11
00
00
10
00
10
00
00
10
10
11
10
01
00
11
11
10
00
10
11
00
10
01
01
10
00
10
10
11
00
00
11
00
01
10
00
10
10
00
00
00
01
00
00
10
00
00
10
10
10
11
10
11
10
10
11
10
00
11
11
00
11
10
00
10
10
00
10
00
00
10
10
01
10
00
11
00
11
10
00
00
10
10
00
10
10
10
00
10
00
00
00
10
00
01
00
00
00
00
10
11
10
00
11
01
10
01
10
10
10
00
00
00
11
10
11
10
01
11
10
00
10
10
00
01
11
00
01
10
10
10
10
00
00
10
10
00
11
00
11
00
00
00
00
11
10
01
01
00
01
00
01
10
11
01
11
01
01
10
00
11
10
11
01
00
10
10
10
10
00
00
10
00
00
11
01
01
01
01
11
00
00
10
10
11
01
01
01
11
10
00
01
10
10
01
11
10
00
10
00
10
01
00
11
11
01
11
11
10
10
11
00
11
10
10
00
01
01
11
00
00
01
00
11
11
00
00
01
00
11
01
00
01
10
10
00
10
10
11
00
01
00
11
00
11
10
11
00
01
11
10
10
10
10
00
10
10
00
00
10
10
01
11
01
00
11
10
00
01
10
11
01
11
00
11
10
01
01
10
00
00
10
01
11
10
11
10
00
10
10
00
10
11
00
00
10
01
01
10
11
01
00
00
11
10
10
01
11
10
10
00
00
10
11
00
01
10
11
10
00
01
00
01
11
01
01
11
00
11
10
10
00
01
10
10
00
00
00
10
00
00
10
11
11
00
01
10
10
00
11
10
00
00
01
00
01
11
00
01
10
10
10
10
00
00
00
00
11
00
10
10
10
10
00
10
01
11
10
00
11
10
00
00
10
11
00
00
10
10
00
00
10
01
01
00
11
00
10
00
10
10
00
00
01
10
10
00
10
10
10
10
00
00
11
10
10
01
00
00
10
11
00
00
00
11
00
00
01
10
10
01
01
11
11
00
01
10
00
00
10
10
00
00
10
00
11
00
01
00
00
11
01
01
11
10
00
01
10
10
01
11
10
11
11
00
10
00
00
00
00
11
10
00
10
00
10
01
01
10
11
00
00
01
00
00
00
01
01
11
10
10
10
00
00
10
10
01
01
00
00
00
11
00
01
11
11
00
10
00
01
00
10
11
01
01
11
10
11
10
11
00
01
00
10
10
10
10
01
10
10
10
00
11
01
00
10
10
11
00
00
10
10
01
10
11
00
11
10
10
00
01
01
11
10
01
10
11
10
00
00
10
10
10
11
00
00
00
00
00
00
01
11
01
01
10
11
00
00
00
00
10
10
00
01
00
10
00
11
10
10
01
01
01
01
10
10
00
01
10
01
00
01
01
11
10
10
11
11
01
01
10
10
00
10
10
00
00
10
11
00
11
01
11
00
00
10
10
00
00
00
10
10
00
10
00
00
10
10
10
00
10
00
10
10
00
10
10
10
01
00
11
00
00
00
10
00
10
10
00
00
10
00
11
10
00
10
00
11
01
10
10
01
10
00
10
10
00
00
00
10
00
01
10
10
10
11
00
10
00
01
11
00
00
00
00
10
11
11
00
11
11
11
01
11
01
11
10
00
10
10
11
01
01
10
00
11
01
01
10
01
10
10
11
00
00
10
01
00
00
10
10
00
01
10
10
00
11
00
01
00
10
10
00
10
01
10
10
11
01
11
01
10
10
10
01
10
10
00
00
10
00
10
10
10
01
00
01
00
00
10
11
10
11
10
00
11
10
00
10
01
00
01
10
00
00
00
00
11
01
01
10
01
01
01
10
01
10
00
00
00
10
10
01
00
01
10
00
11
01
00
10
11
01
10
10
00
10
11
00
10
10
00
00
00
00
10
00
11
01
01
11
10
00
10
00
00
00
00
10
11
10
01
00
01
01
10
00
00
01
11
10
00
11
10
11
01
10
11
00
00
10
11
00
00
00
10
11
01
00
01
11
00
00
00
10
11
01
11
00
00
11
00
00
10
00
00
11
00
10
01
11
10
00
00
10
01
10
11
10
11
00
00
00
00
01
11
11
00
11
00
01
00
11
00
00
10
10
00
00
10
11
00
01
10
00
10
00
10
11
00
10
10
00
10
00
11
10
00
11
10
01
10
11
10
00
00
00
00
10
00
01
11
01
01
10
10
00
01
11
10
11
01
00
11
00
11
01
00
10
01
11
10
11
00
00
10
00
00
10
00
10
11
00
11
10
01
01
10
00
10
01
10
10
10
00
00
11
01
11
01
00
10
00
00
10
10
01
00
00
01
00
10
11
10
10
00
01
00
01
00
10
10
00
01
10
00
00
10
00
00
01
10
01
00
11
10
10
00
11
01
11
11
00
00
01
00
00
01
11
10
00
00
11
10
01
01
01
00
11
01
01
10
10
00
00
11
00
00
10
11
01
10
10
10
00
01
11
00
00
10
00
11
10
10
10
01
00
00
00
00
01
01
11
10
01
10
10
00
01
00
01
11
10
10
01
11
01
00
10
00
01
11
10
10
01
10
10
11
10
10
01
11
10
10
01
00
11
10
00
00
10
10
00
10
10
00
00
10
10
10
01
00
10
10
10
00
00
10
00
00
10
10
11
11
11
00
01
00
10
00
10
00
00
00
00
00
00
00
00
01
00
10
10
10
00
01
11
00
01
11
00
01
10
10
01
10
10
10
01
11
00
00
11
01
00
11
00
01
00
10
10
10
01
10
01
00
00
00
10
11
10
01
00
00
00
00
11
11
00
10
11
10
10
00
10
00
10
00
00
10
11
00
10
10
00
10
11
10
00
00
10
10
00
00
01
11
11
10
00
11
01
01
10
10
00
01
11
00
01
11
10
10
10
10
11
00
00
01
11
10
01
10
10
10
00
10
00
01
00
11
00
10
01
11
10
00
00
01
00
01
11
00
11
10
00
00
01
10
00
00
11
10
11
10
01
11
11
00
01
10
11
01
01
00
10
10
11
10
00
00
00
01
10
10
11
10
10
01
10
00
11
01
00
10
00
00
11
00
10
10
10
01
00
11
01
10
00
11
10
11
00
01
10
01
10
00
01
10
11
01
11
10
10
00
11
11
10
11
10
00
00
00
10
10
10
00
00
00
11
00
01
01
00
10
00
00
10
10
00
00
00
01
10
10
10
01
10
01
00
10
10
00
10
00
00
10
11
00
00
00
11
10
00
00
10
10
10
11
01
11
10
11
10
10
11
00
00
00
00
00
10
10
10
10
10
10
01
10
11
01
01
10
10
11
00
00
00
01
10
11
00
11
01
00
11
00
10
11
00
00
10
00
11
10
00
01
11
11
10
10
00
10
11
01
11
10
10
00
00
01
01
10
11
10
01
10
00
11
10
01
10
11
10
01
10
10
11
10
10
00
11
10
00
00
10
01
00
10
10
00
01
01
00
10
01
00
10
11
00
01
01
00
11
10
10
00
00
11
00
00
10
00
10
00
00
00
01
11
00
01
11
10
01
10
00
01
00
11
10
00
10
10
00
10
00
00
00
10
10
10
00
00
00
10
01
10
00
00
00
10
11
00
11
00
00
10
01
10
00
10
10
00
01
10
01
00
10
10
00
11
10
11
01
10
00
01
11
00
00
11
10
10
10
00
00
10
10
00
00
10
10
01
11
10
11
10
11
00
11
10
01
00
10
10
01
10
01
00
10
01
11
00
00
00
10
11
00
10
11
10
00
10
11
01
11
10
00
10
00
01
00
10
01
10
10
00
11
10
11
00
00
10
11
01
11
10
11
10
11
00
10
00
00
10
10
11
00
01
11
10
10
00
11
00
10
00
10
10
10
10
00
11
11
00
01
11
00
11
10
10
00
00
11
00
11
10
10
00
00
11
00
10
10
00
00
10
10
00
11
11
00
00
11
10
00
10
11
10
00
10
11
01
00
10
10
11
10
10
01
00
10
11
01
00
11
10
11
11
10
00
10
11
11
11
00
10
10
10
00
10
01
01
10
10
10
01
00
00
10
11
10
10
01
00
11
10
01
11
00
01
10
10
00
00
10
00
00
01
10
00
10
00
00
01
01
10
11
10
10
01
11
00
10
00
01
10
10
01
00
01
10
00
10
10
00
00
00
11
00
10
00
00
00
01
10
10
10
00
00
00
01
11
01
01
00
10
01
01
00
10
11
00
01
00
11
10
10
10
00
00
11
00
00
00
10
00
10
00
10
11
10
10
00
11
10
00
10
00
10
10
10
00
11
00
01
10
11
00
10
00
01
10
10
00
10
11
00
00
00
00
10
01
10
10
00
00
10
01
00
00
11
01
10
00
10
10
11
01
01
00
10
10
10
00
01
10
11
00
11
11
10
10
10
10
00
01
00
10
10
00
10
10
11
11
11
01
11
10
11
10
01
00
10
11
00
00
10
11
11
00
00
00
10
10
00
00
01
01
10
10
01
11
00
10
11
01
01
00
00
10
11
01
01
00
10
11
10
10
00
01
10
11
00
00
11
00
01
00
11
10
10
00
10
10
00
00
10
00
00
00
00
00
00
10
10
01
10
00
11
00
11
00
00
00
10
00
00
10
11
00
10
11
01
11
10
01
11
11
11
00
01
10
10
01
00
11
11
10
10
00
01
10
01
00
00
00
10
10
00
00
10
00
01
00
00
00
01
10
10
01
10
00
00
00
10
10
00
00
10
01
11
01
00
11
11
00
01
11
10
00
00
00
11
11
01
11
01
11
11
10
00
01
11
01
01
10
10
00
00
00
00
11
10
11
00
00
01
10
10
00
10
00
00
10
01
01
10
01
00
10
10
10
01
10
00
00
11
10
01
01
11
10
10
01
01
10
11
01
00
11
10
00
00
10
11
11
11
00
01
10
01
10
10
00
00
11
10
10
00
01
10
00
11
10
10
10
00
00
10
11
10
00
00
10
10
11
00
10
11
11
00
10
11
00
01
11
10
01
00
01
10
00
01
10
00
00
00
11
10
10
10
00
00
01
01
01
10
10
10
11
11
11
01
10
00
01
11
01
11
11
00
00
00
00
10
00
01
10
10
01
10
11
11
11
10
11
00
00
10
10
00
01
10
10
01
00
11
10
11
00
00
01
00
00
10
10
00
00
01
00
01
10
00
10
10
00
00
10
10
10
00
10
10
01
00
01
00
11
11
01
10
00
11
00
10
10
10
00
01
10
10
00
00
10
10
10
01
00
00
00
10
00
11
10
00
00
10
01
00
00
10
00
11
00
11
00
01
10
01
00
11
10
01
00
01
10
10
10
10
10
00
01
01
00
00
00
11
10
01
01
10
10
10
00
10
00
01
10
11
00
01
11
10
00
01
10
10
10
01
00
00
00
10
11
10
01
00
00
01
10
10
00
00
10
01
00
10
00
11
00
00
00
10
01
10
00
00
00
00
00
00
10
10
00
01
00
11
11
10
10
11
00
01
10
10
01
10
10
11
01
00
11
00
01
10
01
00
10
01
00
00
01
10
10
11
00
10
01
00
10
01
10
11
10
10
00
01
11
11
11
00
00
10
01
10
00
00
10
10
01
00
00
11
00
01
01
10
11
10
01
10
01
01
00
01
11
10
00
11
00
10
10
00
10
10
11
10
10
00
00
10
10
00
00
01
01
11
11
10
00
00
01
00
10
10
00
10
00
00
11
10
01
01
01
01
00
10
00
01
01
00
11
11
10
01
00
11
10
00
00
01
00
01
00
10
01
10
10
00
10
10
01
01
01
11
00
01
00
10
10
00
00
11
00
00
10
00
01
00
11
10
10
00
00
00
00
00
10
10
10
10
11
00
10
00
00
10
00
10
01
01
10
10
00
10
00
00
10
10
00
01
00
11
11
00
10
00
10
00
10
10
01
00
10
00
01
10
11
10
11
00
10
11
00
01
11
11
10
01
01
10
11
00
00
11
00
01
10
11
00
00
10
10
00
01
00
00
10
00
01
00
10
11
01
01
11
10
00
00
00
11
11
00
01
01
00
10
10
10
00
00
00
00
10
10
00
10
10
10
10
00
00
00
10
10
00
10
00
00
11
10
01
00
01
00
00
00
10
10
01
00
10
11
10
00
01
10
10
01
10
01
10
11
00
00
11
00
00
00
01
10
11
01
10
10
11
00
01
10
10
11
00
10
10
00
00
00
11
10
11
00
01
00
10
10
11
00
01
00
01
10
01
10
11
11
00
10
10
10
10
00
00
10
00
11
00
10
10
10
00
11
11
00
00
10
00
00
00
00
10
11
10
11
00
00
11
10
11
00
01
10
11
10
11
01
11
00
00
10
00
01
00
10
10
10
00
00
01
00
10
00
00
00
10
10
01
00
11
11
11
00
01
00
01
00
01
10
11
00
00
00
00
10
10
11
10
00
01
11
11
10
10
00
00
01
10
10
00
00
00
00
00
10
10
10
00
00
11
00
01
10
00
01
00
11
10
11
00
10
00
01
11
10
00
00
00
10
00
01
11
10
10
10
10
00
10
10
01
10
10
00
10
00
00
00
10
01
10
00
10
00
10
01
00
11
00
10
00
01
11
11
01
00
10
00
00
10
00
10
10
10
00
01
10
01
10
10
00
00
01
11
10
10
01
01
11
10
00
11
01
10
10
00
00
10
10
00
00
01
00
10
11
00
11
01
10
11
10
00
00
01
11
01
00
10
10
10
01
00
11
10
10
00
10
00
00
00
01
00
00
01
11
10
01
01
11
10
01
01
00
01
00
10
10
10
00
01
10
10
10
00
00
00
11
01
11
00
10
10
11
00
10
00
01
00
00
11
11
00
10
11
10
10
00
00
00
10
10
00
00
10
01
10
00
11
01
00
00
11
10
10
11
00
01
01
10
11
10
01
00
01
11
10
00
10
11
00
01
00
00
00
11
00
10
10
11
11
01
00
00
10
10
00
01
11
10
00
10
10
11
00
10
10
11
00
00
01
10
00
00
10
01
10
00
01
00
10
00
10
01
11
10
00
10
11
11
00
11
10
01
01
11
01
00
11
00
11
11
11
01
10
10
10
10
01
10
10
00
10
11
00
00
01
01
10
00
10
01
10
10
01
00
00
11
10
10
10
00
01
00
11
10
00
01
00
01
11
00
11
10
01
00
00
10
00
10
10
10
00
00
00
00
00
10
10
10
00
10
10
10
01
10
11
11
10
10
00
00
01
10
00
10
10
10
00
10
10
00
10
00
00
01
01
11
11
11
00
01
10
10
10
01
01
01
10
00
01
11
00
10
00
00
11
00
11
10
10
00
01
10
11
00
01
10
01
10
11
10
00
10
10
11
00
10
10
00
01
10
01
00
10
00
10
10
00
10
11
11
11
10
01
11
00
11
01
00
10
10
00
00
10
10
10
00
00
11
01
00
00
10
10
11
10
00
11
11
01
10
00
10
10
00
00
10
00
11
11
00
10
10
01
10
10
00
01
10
00
11
10
01
00
10
10
10
01
00
10
10
01
01
10
11
01
00
01
10
10
00
00
10
10
01
00
00
10
00
01
11
10
00
00
00
01
10
11
11
00
00
00
00
00
01
01
00
10
11
10
00
10
00
10
00
00
10
10
10
01
10
00
00
00
11
10
00
00
01
01
00
00
00
00
10
01
01
10
00
00
11
00
00
10
01
10
01
10
11
01
11
00
01
01
01
00
10
11
00
10
00
00
10
10
10
01
01
10
10
00
10
10
10
00
10
00
00
10
10
00
01
00
00
10
10
01
10
00
00
01
11
11
11
10
10
00
11
10
10
00
01
10
00
00
00
00
01
11
11
11
00
10
00
10
10
10
00
00
00
11
10
11
10
11
00
11
00
00
01
10
11
11
01
10
01
10
01
11
11
01
10
10
01
01
10
10
10
00
10
01
01
11
10
00
00
10
10
00
00
10
11
10
10
10
00
01
00
11
01
11
10
10
10
00
10
10
00
10
11
10
00
01
10
11
00
01
00
11
01
10
10
00
01
10
10
00
01
00
01
11
10
01
01
10
10
10
01
10
00
01
10
11
10
10
01
00
11
01
10
10
10
11
00
01
10
10
00
00
00
00
11
11
10
10
11
00
10
11
00
10
11
11
11
00
00
10
00
10
00
00
11
00
10
10
01
10
11
10
00
00
01
11
11
00
01
11
11
10
01
11
11
00
11
00
00
10
10
00
01
11
01
11
10
10
10
00
10
00
00
10
00
01
00
00
10
11
00
10
00
01
01
10
01
11
10
11
01
10
00
00
11
00
10
11
00
00
11
00
01
10
00
00
00
00
10
00
00
11
11
00
01
00
10
01
00
10
00
10
11
10
00
00
11
01
10
01
00
10
10
01
11
10
00
00
10
01
10
10
11
00
10
10
11
01
00
00
10
11
10
00
00
10
10
00
00
10
10
10
10
11
00
01
00
00
11
00
11
01
10
00
10
10
10
01
10
11
10
00
10
00
00
10
10
01
10
01
01
01
10
00
01
11
01
10
00
00
10
10
11
11
00
00
00
10
11
10
01
00
11
10
10
10
00
10
10
00
10
10
00
00
00
01
10
11
11
01
11
01
10
10
01
00
01
00
10
00
00
11
00
11
10
00
11
10
00
10
00
11
11
00
10
10
00
10
11
01
00
01
10
00
00
00
11
01
01
11
00
11
00
10
10
10
00
00
10
11
11
10
00
00
10
11
11
01
00
10
00
00
00
01
00
10
10
00
10
10
10
01
00
00
10
00
10
10
00
10
11
10
11
00
00
00
11
00
00
01
01
01
00
10
10
10
00
01
11
10
01
01
11
10
00
11
10
01
01
01
10
00
10
01
10
11
00
00
11
00
00
10
10
00
00
11
11
11
00
10
10
00
11
00
00
11
00
10
01
11
10
11
10
10
11
00
00
00
00
10
11
10
00
10
01
10
10
01
01
00
10
10
10
00
01
10
00
00
01
10
01
10
11
01
00
11
10
01
00
10
00
10
10
10
00
00
01
00
01
11
00
01
10
10
00
01
10
10
00
01
01
10
00
10
11
10
00
00
10
10
10
11
00
00
11
00
00
10
00
00
10
11
11
00
01
00
11
11
00
00
10
10
00
01
00
00
11
01
10
01
10
11
11
01
01
00
11
10
11
00
10
10
00
01
10
11
11
10
10
10
11
01
10
00
11
10
10
10
00
00
10
11
01
11
10
01
11
00
00
01
10
10
01
10
01
00
11
10
10
10
01
00
11
00
10
01
10
11
00
11
00
00
10
10
11
01
00
11
01
00
10
01
00
10
00
11
11
10
11
00
10
10
00
00
11
00
00
00
10
10
10
10
00
01
00
01
00
10
10
00
10
10
00
00
10
10
10
01
01
00
00
10
00
11
00
11
00
10
11
10
00
10
00
11
10
00
00
00
10
10
01
10
11
10
00
10
10
00
00
10
10
00
10
01
10
10
00
11
11
00
01
11
11
01
00
11
01
11
11
01
00
10
10
01
11
00
00
10
11
00
10
00
00
11
00
10
10
11
10
00
11
11
00
00
11
10
10
00
10
11
11
00
00
01
00
10
10
00
01
10
11
10
00
01
00
10
00
00
10
10
01
00
11
01
11
01
01
11
10
00
01
10
10
01
00
11
10
00
10
10
01
11
10
00
10
01
11
11
10
01
01
11
00
10
00
00
01
10
11
01
10
10
11
10
11
10
00
01
11
00
00
00
00
10
00
10
10
01
11
00
01
01
10
01
10
10
01
00
10
00
00
10
10
11
10
00
11
00
00
00
10
10
00
01
10
10
10
01
11
00
10
11
01
10
01
00
10
00
00
00
10
10
01
01
01
01
01
11
10
00
00
10
00
00
10
10
10
00
00
00
00
00
00
10
00
11
10
10
00
00
10
01
10
10
10
00
10
10
00
10
00
00
00
10
11
00
10
01
11
10
01
01
00
01
10
10
01
00
10
10
01
10
10
10
11
01
01
01
00
01
10
10
00
01
10
10
01
01
00
10
01
10
10
00
00
00
01
11
10
10
00
11
10
00
01
10
01
01
10
00
00
11
01
10
11
10
01
00
00
10
00
01
10
10
00
00
10
11
00
00
11
00
00
10
00
10
00
11
11
01
10
00
00
11
00
00
11
10
00
10
11
00
10
00
00
10
10
10
00
00
00
11
10
10
00
01
00
00
00
11
00
01
11
01
01
00
11
10
00
00
10
10
11
11
10
11
01
01
01
00
00
10
11
01
11
10
00
00
10
10
01
00
10
00
01
01
11
10
00
00
01
00
01
00
10
10
00
10
10
11
00
10
00
01
01
10
00
10
11
10
10
01
01
10
11
11
00
01
00
11
00
10
11
00
00
11
11
00
10
01
00
00
10
10
00
11
11
10
00
00
00
10
00
10
00
01
10
10
00
11
11
11
10
00
11
00
11
10
10
00
00
11
00
11
00
11
10
10
11
10
10
00
10
11
10
00
10
11
00
10
00
01
10
00
11
00
11
00
10
01
10
11
00
10
10
00
00
00
00
10
11
00
10
11
10
01
00
10
11
10
00
10
11
00
01
00
01
11
01
00
11
00
00
10
11
10
01
10
11
00
10
00
01
10
11
10
10
00
01
10
00
10
10
00
00
00
11
10
10
00
00
00
00
11
00
00
10
10
01
10
10
01
10
00
00
10
10
11
01
01
10
10
10
11
11
01
10
10
00
10
00
00
01
10
01
00
11
00
11
10
01
00
01
00
10
11
00
00
10
10
00
11
10
00
00
00
11
01
01
10
11
00
00
10
01
11
00
01
00
01
11
11
11
01
00
11
01
11
11
00
01
10
00
01
10
11
00
00
10
00
00
00
11
10
11
10
00
10
11
10
00
00
11
00
11
10
01
10
10
00
00
00
11
00
00
11
10
01
11
10
10
10
00
00
00
10
00
01
10
01
00
10
00
01
00
00
00
10
11
00
00
11
00
10
00
11
00
00
00
10
01
00
01
11
11
00
01
00
10
10
00
00
11
10
00
10
11
00
11
10
01
00
01
01
10
01
11
00
10
10
00
00
11
10
11
00
01
00
10
11
01
00
11
10
11
00
00
11
00
10
11
11
01
01
10
10
10
00
11
10
00
00
00
11
10
01
11
00
01
10
00
10
00
01
11
10
01
10
10
10
10
10
00
00
00
00
11
11
10
11
01
01
10
10
10
00
00
01
10
10
00
00
01
10
10
00
01
10
00
10
11
00
10
11
00
01
10
00
10
01
11
10
10
01
11
10
11
11
00
01
10
00
10
11
10
10
00
10
00
11
10
00
01
00
10
01
10
11
11
00
10
00
00
00
00
10
11
00
00
10
00
00
00
10
00
00
10
11
10
01
00
10
11
01
00
01
01
11
10
00
01
01
10
00
00
00
10
00
10
10
01
00
00
10
00
01
10
01
11
10
00
01
10
01
10
10
00
10
10
00
11
10
01
10
11
11
00
01
01
11
10
11
11
00
11
01
11
11
01
01
00
11
00
00
10
01
00
10
00
10
10
10
11
00
01
00
10
11
11
11
11
10
11
10
01
01
00
10
11
01
01
11
10
10
11
00
00
00
01
11
10
00
00
10
10
00
11
10
00
00
10
00
01
00
11
10
00
00
11
10
00
10
10
10
10
01
00
00
01
10
11
11
10
10
00
10
10
00
00
01
10
10
10
00
10
10
11
10
00
10
00
10
00
00
11
10
00
11
10
10
10
00
11
00
11
10
10
01
10
11
00
10
10
00
01
10
11
11
00
00
01
10
00
11
10
11
10
01
00
10
00
01
11
10
00
00
10
10
10
10
10
00
11
00
11
01
11
10
00
00
00
00
11
10
00
01
11
10
10
11
00
00
00
00
00
11
10
00
01
11
00
10
10
10
01
10
00
01
10
00
10
10
10
00
00
00
10
10
11
01
00
11
00
10
10
10
11
10
00
10
11
10
00
10
10
10
01
01
00
00
01
10
00
00
10
00
10
10
01
10
11
10
01
10
10
10
01
01
11
10
00
11
00
00
00
00
10
00
11
11
00
01
11
00
10
00
01
00
10
10
01
10
10
11
00
10
10
10
11
11
00
01
10
11
11
00
00
11
10
01
10
10
10
10
10
00
01
11
00
00
01
01
10
11
10
00
00
11
10
11
10
01
01
10
10
00
10
10
01
00
11
10
11
11
01
00
01
00
10
00
10
00
00
10
00
11
11
10
10
01
00
00
00
10
00
00
10
01
01
11
11
10
10
11
00
11
10
00
01
11
01
00
11
10
00
10
10
10
00
00
10
11
00
00
00
00
11
01
00
00
00
11
00
11
00
10
10
11
10
01
00
10
11
01
10
10
01
00
01
11
10
10
00
00
10
10
00
10
11
00
10
11
10
10
00
00
01
10
11
11
00
10
10
00
10
00
01
00
10
10
00
00
00
00
10
11
01
01
10
11
10
00
10
10
01
00
10
10
01
10
00
00
00
00
01
11
10
11
10
10
01
00
01
10
10
00
01
00
00
00
01
10
01
10
11
10
01
11
10
00
11
01
01
10
01
00
10
00
00
00
11
10
11
11
00
01
00
00
00
01
11
10
10
00
10
11
00
10
00
10
10
00
00
01
00
10
01
10
10
00
11
10
11
00
00
10
00
10
11
10
01
10
10
00
10
01
10
10
00
01
00
01
10
00
10
10
10
10
00
00
11
11
10
00
01
00
11
10
00
00
00
11
10
11
01
00
00
01
10
10
11
10
01
00
10
11
10
00
10
10
00
00
10
00
10
00
10
10
11
00
00
10
01
11
11
11
00
00
00
00
01
11
10
00
01
10
10
00
01
11
00
00
11
00
10
11
00
01
01
00
10
10
10
11
01
01
10
11
10
00
01
01
10
10
11
00
10
00
10
11
00
00
10
10
10
11
01
00
01
11
01
00
11
11
00
00
10
11
00
00
10
00
10
01
00
11
10
00
10
00
10
10
11
01
00
10
10
11
01
11
11
00
10
10
00
10
10
00
01
00
10
10
11
00
11
11
10
11
01
01
10
01
01
01
10
01
00
10
00
00
10
10
10
10
11
10
00
11
11
11
10
10
00
10
10
00
01
11
00
01
10
00
01
10
10
10
00
01
11
10
01
01
10
10
00
00
00
00
10
10
10
11
10
11
01
10
10
11
00
00
00
10
00
00
11
10
10
00
10
10
00
10
01
10
10
00
01
01
10
00
01
00
10
10
10
00
10
10
11
10
00
00
00
10
11
01
10
11
00
10
00
00
11
01
11
10
11
11
00
10
10
00
00
10
00
10
10
00
01
01
10
01
10
00
10
10
00
00
00
11
11
10
10
00
10
00
01
10
10
00
10
00
11
10
01
00
01
11
10
11
00
10
10
01
01
10
01
00
10
10
01
10
11
11
00
00
10
10
10
00
00
01
00
01
10
11
01
01
11
01
00
01
00
00
10
10
00
00
10
11
10
01
10
10
01
10
10
00
11
10
11
00
00
00
10
00
11
10
01
00
00
01
10
10
01
01
10
00
01
10
10
00
00
00
10
00
10
01
00
10
10
00
00
11
10
00
11
11
10
00
01
01
00
11
00
10
11
00
01
10
11
00
11
00
01
00
10
10
01
00
00
00
10
11
00
10
01
11
00
10
00
00
10
00
10
11
01
01
00
10
01
01
01
11
00
00
10
10
10
11
10
00
00
01
01
10
11
11
11
00
01
00
00
10
10
10
00
11
10
00
00
11
00
00
00
10
00
10
10
01
00
10
10
01
00
10
00
00
11
10
01
11
10
00
11
10
01
00
10
10
10
11
01
01
01
10
01
11
00
00
11
10
00
00
10
10
00
01
10
11
10
01
00
00
00
10
00
00
10
00
01
10
00
00
10
00
11
00
00
00
10
11
10
10
11
10
00
00
10
00
11
00
10
01
01
10
01
00
01
00
00
11
01
01
10
01
11
00
00
01
10
00
10
10
00
11
00
01
10
00
10
00
00
11
10
01
00
10
10
11
10
10
01
00
10
10
11
00
00
00
11
10
00
00
00
10
11
10
10
00
01
10
00
10
00
00
10
10
10
10
01
00
00
01
11
00
10
10
01
01
10
10
00
00
10
00
00
11
11
10
01
01
01
10
10
10
11
11
10
10
11
00
11
00
00
00
00
01
10
01
00
00
00
10
11
00
00
10
01
01
01
00
00
00
10
11
11
10
00
10
00
01
00
00
10
00
00
00
00
11
00
11
11
10
00
00
01
01
10
11
11
11
00
00
00
10
00
01
10
10
00
11
10
01
10
00
01
10
10
00
10
11
10
11
01
00
10
00
00
11
01
01
10
00
01
10
01
00
10
11
10
00
00
10
10
10
10
01
00
11
01
10
00
01
00
00
10
01
01
01
10
10
01
00
01
01
10
10
00
00
11
11
00
10
11
00
00
10
00
00
11
00
00
11
11
10
11
01
10
01
01
00
00
10
10
01
00
10
01
00
10
00
00
00
00
00
01
00
10
10
11
00
11
00
00
00
10
00
00
00
01
10
10
00
00
10
10
10
00
10
11
00
00
00
00
10
11
10
00
00
10
00
01
00
10
10
00
01
10
10
10
00
10
11
10
00
10
11
11
11
01
11
00
01
10
00
10
00
01
11
01
10
11
01
00
10
10
10
00
00
10
00
01
10
00
10
10
11
01
11
10
11
00
11
01
01
01
01
10
10
00
01
00
10
10
00
00
10
10
00
10
00
10
00
00
00
00
11
10
00
00
00
00
11
00
01
00
10
10
10
00
11
01
00
00
11
11
01
00
00
00
00
10
10
11
10
11
10
01
11
11
10
00
00
11
00
11
11
01
00
00
10
10
10
00
01
00
00
10
11
00
01
10
11
01
00
00
10
01
00
11
10
10
00
10
00
10
10
00
00
01
10
11
00
00
00
01
11
11
00
01
10
00
10
10
10
00
00
10
01
00
10
01
01
00
01
01
10
00
10
10
10
10
01
00
00
10
10
01
10
11
00
00
10
10
11
01
00
11
00
01
01
10
01
00
01
10
11
10
10
10
00
00
10
11
01
00
00
10
10
11
11
00
10
10
11
00
11
01
00
11
10
00
10
11
10
10
00
10
00
01
10
11
10
11
10
10
00
00
01
11
00
01
11
10
00
11
00
10
00
00
10
11
10
01
00
10
00
01
00
00
00
10
10
01
10
10
00
00
10
01
10
10
01
01
00
11
11
01
01
11
00
00
10
11
10
00
00
01
10
00
00
11
00
01
10
10
11
10
10
01
10
00
00
10
10
10
11
00
00
10
01
00
00
10
10
00
00
10
11
11
00
10
10
10
00
10
00
01
00
00
01
10
00
00
00
00
01
00
00
11
10
10
10
10
00
10
00
10
10
01
10
10
11
10
10
10
11
01
01
00
00
01
00
10
10
00
00
11
10
11
11
00
11
10
11
10
00
01
00
00
00
10
11
00
00
11
10
10
10
01
01
11
01
01
01
00
00
10
10
00
01
10
11
00
00
01
01
00
01
10
11
10
00
10
01
00
11
00
00
00
11
00
11
10
00
00
10
00
00
10
10
10
01
01
00
10
10
01
01
10
00
10
10
10
11
00
10
10
11
00
10
01
11
00
11
11
00
01
01
00
11
00
00
00
10
10
00
00
11
01
00
11
00
00
01
11
00
10
10
00
10
00
00
10
10
01
00
00
01
11
01
01
10
10
10
10
11
00
00
10
11
10
00
00
10
01
00
10
10
01
11
01
11
10
11
10
00
01
00
10
10
11
00
11
10
00
10
10
11
11
00
10
00
10
11
00
01
10
00
10
10
00
11
10
01
10
01
10
10
01
00
10
10
00
01
10
01
10
00
11
01
01
11
00
10
00
01
00
00
10
00
11
10
00
10
10
00
10
00
11
10
10
01
01
11
00
11
01
00
10
00
01
10
10
10
00
00
00
00
00
10
11
11
11
11
00
10
10
10
00
10
10
01
00
10
11
00
01
10
01
10
11
10
10
00
00
00
00
00
11
10
11
01
01
10
00
11
11
01
01
01
10
01
01
10
00
10
11
10
01
01
11
01
10
10
11
00
00
10
11
01
10
10
00
11
10
00
00
11
10
11
10
00
00
00
10
00
10
10
10
10
00
11
01
01
01
10
11
01
01
10
10
01
01
01
11
11
01
01
11
10
10
01
00
01
00
10
11
00
00
10
11
10
11
10
01
00
00
00
10
11
00
00
11
11
00
11
10
00
00
11
10
00
00
10
00
10
10
00
11
10
10
10
10
01
00
10
10
10
01
00
10
10
01
01
00
10
10
01
10
10
11
00
10
01
00
10
10
11
00
11
10
01
11
10
01
10
00
01
10
00
00
10
10
10
00
11
00
00
10
10
00
00
10
11
00
11
00
00
10
10
01
00
00
10
01
10
00
11
00
10
10
00
10
10
01
10
00
00
01
00
10
01
00
00
10
01
01
01
01
11
00
00
01
01
10
10
10
00
00
00
01
11
10
11
11
00
10
01
10
10
10
00
10
10
00
01
00
00
00
10
10
00
10
00
10
00
11
00
10
10
10
10
01
10
10
00
01
00
11
11
01
10
11
10
00
00
10
11
10
11
00
00
11
01
11
01
00
11
10
11
01
11
10
00
11
01
01
00
11
10
01
00
11
10
01
00
10
00
00
00
10
01
11
10
00
01
01
01
10
01
00
10
11
11
00
00
00
10
10
01
00
10
00
00
11
01
00
11
00
00
01
01
00
01
00
11
11
00
10
11
00
01
10
11
00
10
00
11
01
01
00
11
11
10
01
00
10
10
00
00
01
00
11
10
10
01
11
11
10
10
00
01
10
10
00
00
00
10
00
00
00
10
00
11
11
10
00
00
11
10
00
01
10
01
00
11
11
11
10
11
11
01
00
10
01
00
10
10
10
00
00
10
11
00
11
11
10
01
00
01
10
00
00
10
11
00
00
10
11
00
10
10
00
11
11
10
00
00
00
00
00
00
10
10
00
10
00
00
00
01
00
10
11
10
10
10
11
00
01
10
11
11
01
00
10
10
00
10
10
01
00
11
10
00
10
00
00
10
10
00
00
01
11
10
10
01
10
00
00
10
10
01
00
01
10
10
10
10
00
00
10
00
10
10
00
11
01
00
11
01
11
11
11
01
11
11
10
11
00
00
10
10
00
00
10
11
01
11
11
00
10
10
00
00
10
10
00
00
10
10
11
00
00
00
10
00
10
11
00
01
11
00
00
00
10
11
11
00
00
10
01
00
10
01
10
10
00
00
00
10
00
11
10
01
10
10
01
10
01
00
10
11
00
00
10
00
00
10
10
10
10
10
10
10
00
10
00
00
00
00
11
00
11
01
00
01
10
01
00
00
10
10
10
11
10
10
00
10
01
10
10
01
00
10
10
00
00
11
11
10
01
11
10
11
11
11
01
11
10
00
01
10
10
00
00
10
10
01
10
00
10
10
00
00
01
00
11
11
00
00
10
01
10
10
00
11
10
00
10
10
00
10
10
00
00
10
01
10
00
11
00
10
00
10
10
01
10
00
10
11
00
00
10
10
10
01
00
00
01
10
01
00
11
10
10
11
01
01
00
11
11
00
00
10
00
01
10
00
11
00
00
00
11
10
01
01
10
00
10
00
00
11
11
11
11
01
10
10
10
10
00
00
00
01
11
10
10
10
00
11
00
00
11
00
10
00
00
10
00
00
10
00
00
01
10
01
10
00
11
10
00
00
00
00
10
00
10
00
00
00
01
01
00
01
10
01
01
10
10
10
10
01
11
00
00
10
11
10
00
11
00
00
00
10
01
01
10
11
11
11
00
10
10
00
11
11
01
01
11
10
00
00
00
11
10
00
10
01
11
00
01
11
11
10
11
10
00
01
10
10
11
00
00
10
10
01
01
11
00
00
11
00
11
01
01
11
10
00
10
01
01
11
10
01
00
00
00
01
01
11
11
00
00
11
11
10
11
01
00
11
10
00
10
10
00
01
00
10
11
10
01
10
10
01
11
11
00
10
11
11
11
00
01
10
00
00
11
01
00
10
11
11
10
10
01
10
11
01
10
10
00
00
00
11
01
00
10
10
01
01
00
11
10
01
01
01
11
10
10
00
00
00
10
11
00
11
00
11
10
01
10
00
10
00
11
10
10
00
00
11
10
10
01
10
11
10
10
01
01
10
11
10
01
00
00
10
11
00
00
10
00
10
01
10
00
11
00
00
10
11
10
10
00
01
01
10
10
01
00
10
10
11
10
11
01
00
10
00
01
01
11
10
11
00
01
10
10
00
00
10
11
10
00
01
10
01
00
11
10
11
10
10
10
00
11
10
01
00
11
01
10
10
00
10
10
00
00
11
11
10
00
01
10
10
10
00
00
10
01
01
10
00
00
00
00
00
00
10
10
10
11
10
11
01
10
01
11
00
01
10
11
01
11
11
01
00
10
11
00
10
10
00
01
10
00
10
10
01
00
00
00
10
00
00
10
00
00
11
10
11
01
11
10
00
01
10
11
01
00
10
01
01
00
10
01
10
10
01
01
00
10
00
10
10
00
00
10
10
00
00
00
10
11
00
10
10
00
11
00
10
10
00
01
10
11
01
10
10
01
00
00
10
11
00
10
11
01
00
11
11
10
11
00
00
00
01
10
10
10
01
00
00
00
10
00
00
11
00
10
11
11
10
10
10
00
00
10
01
10
10
01
10
11
01
10
11
10
10
11
01
00
01
00
11
11
10
00
00
10
00
10
10
11
10
00
00
00
10
00
00
01
11
00
00
10
10
00
10
01
01
11
10
10
00
10
11
10
00
00
11
10
11
01
10
10
01
01
10
11
00
00
01
00
11
10
10
01
00
01
10
01
10
10
00
00
10
10
00
10
00
10
01
01
10
10
00
11
11
01
11
00
10
11
11
10
11
01
10
00
00
10
10
00
00
00
10
01
00
10
00
11
00
11
10
10
01
00
10
11
10
01
10
00
11
10
10
11
00
01
00
10
00
00
10
10
00
00
00
10
00
00
11
00
00
10
11
00
00
10
11
00
01
00
10
00
00
01
00
10
01
01
10
10
00
01
01
11
11
11
10
11
10
10
01
00
11
00
00
11
00
10
00
11
00
11
00
00
10
10
10
00
01
11
10
10
00
00
11
00
01
00
11
00
11
00
11
10
01
00
10
10
00
00
00
10
10
00
10
00
00
10
00
00
00
01
11
01
01
10
10
10
00
01
00
11
10
00
01
10
01
10
00
00
10
01
00
10
10
11
00
11
00
01
00
01
10
10
10
01
10
11
10
00
00
01
00
11
01
01
11
11
11
11
10
00
00
10
10
00
11
00
01
01
10
00
10
11
10
10
00
01
11
00
01
10
01
11
10
11
00
00
10
00
10
10
01
11
01
00
10
10
00
00
01
00
00
11
10
00
01
01
11
00
10
10
00
10
10
11
00
00
10
10
10
01
10
00
00
01
01
11
11
01
10
11
00
00
00
10
10
01
00
10
11
10
01
10
00
01
00
00
10
10
10
01
00
00
11
10
00
10
00
11
00
10
11
00
01
10
10
10
00
00
11
11
01
00
00
00
00
10
00
00
11
00
10
10
00
10
11
01
00
11
11
00
10
01
10
10
00
00
00
01
10
10
11
01
00
11
00
00
01
00
10
10
01
00
01
10
11
11
11
10
10
10
00
11
00
00
10
10
10
00
00
10
00
00
10
00
00
11
10
10
01
10
11
10
01
11
00
01
10
11
00
01
10
00
00
10
11
00
10
11
11
01
00
10
01
00
10
10
00
10
00
01
11
00
11
10
00
00
01
10
11
10
00
01
10
11
10
01
00
01
00
10
10
00
01
10
01
00
01
00
01
00
11
00
00
00
10
01
00
00
10
10
11
10
10
10
11
10
11
10
10
10
00
01
10
10
01
01
10
00
00
10
01
10
10
00
10
01
00
11
11
00
01
10
11
00
11
10
00
01
10
00
00
01
11
11
00
10
00
00
10
10
01
10
10
00
00
11
10
11
01
10
10
00
00
00
10
10
00
00
10
10
10
10
00
01
00
10
00
00
11
10
10
00
00
10
11
10
11
10
00
11
01
11
11
00
00
10
10
00
11
10
00
11
10
00
01
10
00
00
00
00
00
11
11
10
10
00
01
11
00
00
10
10
10
01
11
01
01
01
00
00
10
01
11
10
01
01
00
01
10
10
00
10
10
11
11
00
01
10
00
10
01
00
10
00
00
01
10
00
10
00
00
00
00
10
11
10
01
00
10
00
01
00
01
00
01
10
11
00
00
10
10
10
00
10
10
10
00
11
10
10
11
01
11
11
11
00
01
00
10
10
01
00
11
10
10
00
10
00
00
10
10
01
01
10
00
10
00
00
10
01
00
11
10
10
00
00
10
11
00
00
00
00
01
01
11
10
10
00
11
11
01
01
10
01
00
10
10
10
00
00
11
10
00
11
01
01
11
01
11
11
10
00
11
10
10
00
00
11
10
00
00
10
11
01
11
01
01
10
00
10
10
11
11
01
00
00
01
10
11
10
00
00
01
10
11
10
00
00
01
11
00
00
10
00
00
01
01
00
11
11
10
10
00
10
10
00
01
10
10
00
00
11
00
00
00
10
01
10
00
00
10
10
01
10
10
00
00
11
10
01
00
00
11
11
11
01
11
10
11
00
11
11
00
00
10
10
00
10
11
00
10
11
00
10
01
10
00
11
11
00
10
10
00
01
00
10
10
00
00
01
10
00
00
10
00
01
10
00
00
11
10
01
01
10
00
10
10
01
00
10
11
00
00
11
11
00
01
01
00
11
10
00
10
10
01
01
11
10
10
00
00
10
00
11
10
01
00
11
10
11
10
10
10
01
00
11
01
10
00
11
10
01
10
00
00
00
10
10
10
11
11
00
11
01
00
10
01
00
01
10
11
10
10
11
00
00
10
11
00
11
00
10
10
00
00
10
11
01
00
00
11
00
01
10
01
11
10
00
01
01
01
00
10
10
00
00
00
01
11
01
10
11
01
00
10
10
00
00
10
10
00
00
10
01
00
00
00
01
00
10
00
10
00
00
10
10
00
10
10
10
11
00
00
01
10
01
00
11
11
00
00
10
01
11
10
00
01
10
10
10
11
01
00
11
10
00
11
00
01
10
11
00
01
11
00
01
10
00
01
10
10
01
00
10
10
00
00
00
00
11
01
01
10
00
10
11
10
10
00
01
00
10
10
00
10
11
10
00
11
00
11
00
10
10
11
11
11
00
00
10
11
10
11
00
01
00
00
01
01
00
11
11
10
01
00
11
00
01
11
10
00
10
10
01
00
10
10
10
00
10
00
00
10
10
00
10
10
00
00
10
00
11
10
00
10
11
10
00
00
01
00
01
00
10
00
10
01
00
10
10
00
10
11
11
00
00
10
00
10
00
11
10
11
01
10
10
10
10
00
01
00
01
01
10
10
11
11
10
10
00
00
10
11
10
01
00
00
01
11
10
00
00
10
10
00
11
11
10
00
11
10
00
00
11
00
11
10
01
10
10
10
00
10
10
10
10
11
10
01
10
11
11
10
01
00
01
10
00
00
11
00
00
01
11
00
00
01
11
00
10
00
10
10
11
10
01
10
10
10
10
10
00
00
10
00
01
10
11
00
00
10
10
01
10
00
00
11
11
11
10
00
00
11
11
10
01
10
11
01
00
01
11
01
00
11
11
11
11
10
01
00
10
10
10
00
01
00
11
00
10
10
11
11
01
00
11
11
00
11
00
00
10
10
00
11
01
00
01
11
10
00
10
00
00
10
11
11
00
00
10
01
10
00
00
10
10
00
00
00
10
10
00
00
00
10
10
00
00
10
00
00
00
00
10
00
00
10
11
11
10
01
10
11
10
10
00
01
00
11
00
00
00
00
01
00
11
10
10
01
10
01
11
10
00
10
01
00
10
10
11
11
11
00
01
10
00
00
10
10
11
10
11
10
10
00
00
00
01
10
11
11
10
00
10
00
10
01
00
10
10
11
11
01
11
01
10
00
00
01
10
10
00
10
00
10
10
00
10
00
01
10
00
10
00
11
10
00
00
10
10
11
11
10
10
00
00
00
00
01
10
10
11
01
00
10
00
01
10
10
00
01
11
00
01
10
10
00
00
01
11
10
00
00
10
11
11
11
00
10
11
10
00
00
00
11
10
01
01
01
11
10
10
10
10
00
10
10
01
10
00
10
10
00
00
00
00
11
11
10
11
01
10
10
11
01
01
00
10
01
11
10
10
11
00
00
11
10
10
10
01
11
11
10
00
00
00
10
00
10
10
00
10
01
01
00
00
00
00
01
10
00
01
01
11
00
11
10
01
10
00
00
10
11
11
10
00
11
00
00
10
01
11
00
01
10
01
00
10
11
10
00
01
00
11
10
10
00
00
10
10
00
00
10
10
00
00
00
00
01
11
01
10
10
01
10
10
10
00
01
11
11
00
01
10
11
00
11
00
00
00
10
10
01
10
10
11
10
00
01
10
10
00
00
01
00
10
00
01
00
10
10
10
11
11
00
00
11
10
01
01
10
10
11
10
10
00
01
11
00
01
01
11
10
00
00
10
00
10
10
00
00
00
10
10
10
10
00
10
01
00
00
01
00
10
10
10
01
00
01
11
00
11
01
01
11
00
01
10
01
10
11
00
00
00
11
10
11
10
01
10
00
00
00
00
11
01
00
00
10
00
11
01
10
00
00
10
10
00
00
11
11
10
10
00
00
11
01
00
10
01
10
01
00
10
00
00
01
10
01
10
01
10
00
00
10
10
10
10
00
01
00
00
11
00
10
10
00
11
00
01
10
11
00
00
00
01
01
10
10
00
00
10
00
00
00
10
10
01
10
01
00
01
10
00
01
10
11
00
10
11
10
10
01
11
00
00
11
11
00
01
00
11
10
01
10
10
11
00
00
11
00
01
01
10
10
00
00
01
10
10
10
00
01
00
10
01
00
11
10
11
00
00
00
10
11
11
10
00
01
11
00
10
10
00
00
11
11
10
01
00
10
01
10
10
00
00
10
00
10
00
00
10
10
11
10
01
01
11
11
10
00
11
11
00
11
10
01
00
10
00
01
10
10
10
00
00
10
00
10
10
10
00
10
01
00
11
00
00
00
10
10
00
10
10
00
11
00
00
11
00
01
00
10
10
11
11
10
01
01
11
10
00
00
10
10
00
00
00
11
00
10
10
00
00
10
10
10
10
10
01
10
00
10
01
00
10
01
11
01
00
00
00
00
00
10
10
00
01
01
10
00
10
00
11
10
11
00
11
01
10
11
00
10
01
00
10
10
10
00
10
11
10
00
01
01
10
01
11
11
11
00
10
00
00
00
10
11
11
10
00
11
01
01
11
00
10
11
10
10
00
00
11
00
00
01
00
10
00
10
00
01
11
00
00
10
01
11
10
10
11
00
10
00
00
11
11
10
10
00
01
00
00
11
10
01
01
10
10
00
00
10
11
01
01
10
10
11
10
00
00
10
10
10
10
10
00
01
11
10
10
00
00
11
10
01
01
00
10
01
00
00
11
00
11
10
00
01
01
10
01
00
11
00
00
00
10
01
11
10
00
11
11
10
00
11
10
11
00
00
10
10
01
11
10
01
00
00
00
10
10
10
10
01
00
10
00
10
10
10
00
11
10
11
00
10
10
10
10
00
00
10
01
10
01
10
10
10
11
11
01
01
10
01
10
10
00
00
10
00
10
00
01
00
11
10
10
11
00
01
10
11
01
10
11
00
00
11
10
00
10
10
10
10
00
00
01
10
00
00
00
10
01
11
10
11
00
01
00
11
00
11
00
10
00
00
10
10
00
01
10
01
00
10
10
00
10
10
11
01
00
10
10
00
00
10
01
00
10
01
00
11
01
00
01
00
10
01
01
10
01
00
10
11
00
11
10
01
00
00
00
10
10
00
01
10
00
00
10
00
10
10
10
01
10
00
01
10
01
10
11
11
00
10
10
10
01
01
11
01
10
10
11
01
01
10
10
00
00
10
01
01
10
11
11
00
10
01
10
11
10
00
01
00
10
11
10
00
10
01
00
00
11
10
10
11
10
00
00
01
11
00
11
00
01
00
10
10
00
00
10
10
00
10
10
10
01
01
00
11
00
01
11
11
00
10
10
01
10
01
11
11
10
01
01
01
00
10
01
01
00
11
10
00
01
11
11
11
10
00
01
00
10
00
01
11
10
10
10
01
10
00
00
10
00
00
00
01
10
11
11
00
01
10
00
11
11
10
11
00
00
10
11
10
11
10
10
00
01
10
11
00
01
00
11
10
01
11
01
10
10
00
00
10
01
00
10
11
01
00
01
10
10
00
00
10
01
00
10
10
00
11
11
01
10
10
10
11
11
00
11
00
11
10
10
10
00
00
01
00
10
10
10
00
00
10
10
01
11
11
01
10
10
10
00
00
10
10
00
00
01
10
00
00
10
10
10
11
00
00
10
11
10
00
01
10
11
01
11
00
11
00
01
11
11
00
01
10
10
00
00
00
00
10
11
00
10
01
00
10
01
10
11
11
10
10
01
00
10
00
00
10
10
00
11
00
01
11
10
00
00
01
00
11
10
11
01
00
00
10
10
10
10
01
10
10
11
11
00
00
01
10
00
11
01
00
00
01
10
10
10
11
10
00
01
10
10
10
00
00
10
01
00
11
00
00
10
10
10
01
10
11
01
11
11
00
00
11
01
00
00
10
10
10
00
10
10
00
11
00
01
11
10
01
01
01
10
10
11
00
01
11
10
01
00
11
10
10
00
01
01
11
11
00
00
10
11
01
10
10
00
10
00
00
01
10
01
01
01
00
00
00
11
00
00
00
11
10
00
10
11
00
00
00
10
00
10
10
01
00
01
01
01
11
11
10
00
10
10
10
01
11
11
00
00
10
10
11
10
00
01
00
10
10
00
10
11
00
10
10
10
11
10
00
00
10
00
10
10
00
00
00
00
10
11
00
00
10
10
00
00
00
00
11
00
11
11
00
10
10
00
00
10
10
00
11
11
10
10
00
00
10
00
00
10
10
10
11
00
01
10
10
01
11
01
00
11
11
11
10
00
00
11
00
00
10
11
00
01
00
11
01
01
10
10
10
00
00
00
10
10
00
10
11
00
10
10
11
10
11
10
10
10
00
00
10
00
10
11
00
10
11
00
10
10
10
00
10
00
10
01
10
10
11
01
10
00
11
10
10
10
01
00
00
10
00
01
10
01
00
10
00
10
11
10
01
11
00
00
10
01
01
01
10
01
00
00
10
10
01
10
11
10
00
10
00
00
11
01
00
10
11
00
00
10
01
00
11
00
11
10
11
10
01
00
11
10
00
00
10
01
10
00
00
10
01
10
10
01
00
00
00
10
01
00
00
10
01
00
10
10
00
10
10
11
11
01
10
10
00
01
01
11
00
10
11
00
00
01
10
00
10
10
01
10
10
10
10
01
00
11
00
00
10
01
01
00
11
00
10
11
00
11
00
10
01
10
00
00
10
01
00
10
10
10
00
00
01
11
10
01
10
01
10
10
00
11
00
00
00
00
01
00
11
11
01
00
00
10
10
00
01
10
01
00
10
11
11
10
10
00
00
10
00
01
10
11
00
11
11
10
11
01
10
01
11
10
01
10
11
11
00
00
10
00
00
01
01
11
10
11
10
00
10
11
00
00
10
00
00
00
00
10
10
11
00
00
10
01
10
11
10
00
00
00
00
10
10
10
00
10
11
01
10
00
10
01
00
11
11
01
01
00
01
00
10
10
11
10
00
11
01
01
10
00
11
10
10
00
00
11
00
10
10
10
01
01
00
11
11
00
10
00
00
10
00
01
00
10
10
00
10
10
00
10
10
10
00
10
11
10
01
00
11
01
01
01
11
00
10
10
00
01
10
10
00
01
11
01
11
10
11
00
10
10
10
00
00
01
00
01
10
00
11
10
11
10
10
01
11
00
11
11
11
11
10
10
10
00
01
01
00
11
01
00
11
00
00
11
10
00
11
10
00
11
00
10
11
10
01
00
00
10
11
00
10
11
00
00
00
11
10
00
01
10
00
00
10
10
00
00
10
10
00
00
01
10
10
10
10
00
01
10
11
10
01
10
10
10
00
01
10
00
10
10
11
10
01
11
00
00
00
10
10
10
10
00
01
00
10
11
11
01
11
01
01
00
01
01
10
11
00
01
10
10
10
10
00
10
00
01
00
01
00
00
11
11
11
11
11
00
10
00
10
11
00
11
01
00
10
10
10
10
10
00
00
10
10
00
10
01
00
10
00
11
01
10
10
00
01
10
00
00
10
10
10
10
00
01
01
01
10
10
10
01
00
11
01
11
01
00
10
00
10
01
00
10
10
10
10
11
00
11
00
00
10
01
00
00
00
00
10
10
11
10
10
00
11
10
00
00
10
00
00
01
11
00
00
01
00
11
10
00
01
11
10
00
01
00
00
00
00
11
10
00
01
10
10
00
01
00
00
10
10
00
00
10
11
10
10
00
01
10
01
00
00
11
00
00
11
11
01
10
00
10
10
01
10
10
01
00
10
11
10
10
11
10
00
00
10
10
10
01
11
10
11
01
10
10
10
00
00
00
10
10
00
10
00
01
00
11
00
10
10
10
11
00
10
10
00
00
00
10
00
00
01
00
00
00
11
00
00
11
00
00
11
11
11
00
01
11
00
10
10
00
00
00
10
10
01
10
01
10
11
10
10
10
10
00
10
00
00
01
00
00
00
10
00
00
10
10
00
10
01
11
01
11
11
10
11
11
00
00
00
10
00
00
01
10
10
11
11
00
11
01
01
00
01
10
11
11
00
00
10
10
01
01
11
10
01
00
10
10
00
01
10
01
01
01
10
01
10
00
10
11
00
11
10
11
10
00
00
00
00
10
10
01
11
01
00
00
01
00
10
11
10
11
10
10
01
10
11
00
10
10
10
00
01
11
00
10
10
10
00
00
00
10
10
11
00
11
11
00
00
10
11
00
10
11
10
11
00
10
00
01
00
11
00
01
01
10
01
00
10
00
11
10
10
00
11
11
00
01
00
00
10
10
01
00
00
11
01
00
10
10
10
10
10
00
00
10
00
11
00
11
10
10
10
01
00
00
00
10
10
00
10
00
00
10
00
10
00
00
10
01
10
01
11
10
11
10
01
01
00
11
10
01
00
11
11
10
10
00
10
11
11
00
00
00
01
11
00
10
01
01
00
00
11
10
11
00
10
00
01
00
01
01
11
00
01
10
01
01
11
10
01
11
10
01
00
10
10
01
00
10
01
00
00
00
11
11
01
10
01
10
10
00
11
00
00
11
10
01
00
01
10
01
01
11
00
00
10
11
10
00
10
10
00
00
10
10
00
00
10
01
01
00
01
01
00
11
01
00
11
10
01
00
11
10
00
11
10
00
01
10
00
10
10
01
11
00
10
00
10
00
00
11
00
01
10
00
11
00
11
00
00
11
00
01
10
00
00
10
11
10
00
10
10
10
11
01
00
00
10
00
00
00
11
00
10
01
00
10
11
10
00
01
10
10
00
01
00
00
00
10
00
01
00
00
00
10
11
01
01
11
10
11
00
01
10
00
11
11
10
00
11
11
10
11
01
00
00
00
01
11
10
11
10
00
10
00
10
01
00
10
10
11
10
01
00
11
00
00
11
10
11
00
10
10
00
10
10
11
10
10
01
10
10
00
00
10
11
00
00
00
01
11
10
10
00
01
00
11
00
11
10
00
00
00
00
10
11
00
11
10
11
10
00
11
10
11
00
10
00
00
10
10
01
11
00
00
10
00
10
00
01
11
10
00
01
10
00
10
00
10
10
10
11
00
00
11
00
01
10
01
01
10
00
01
10
10
00
01
10
10
00
10
10
10
11
01
00
10
11
01
10
11
10
00
00
00
01
11
11
00
10
00
00
10
10
11
00
11
00
01
01
10
10
01
00
10
00
00
11
00
11
11
01
11
10
10
10
01
00
11
10
00
00
10
00
10
00
00
10
00
00
10
11
00
00
11
10
10
00
01
10
00
00
01
10
00
11
11
01
10
10
00
00
00
01
10
11
00
00
00
00
00
10
10
00
10
10
10
10
10
00
00
11
10
00
10
11
00
00
01
00
00
10
10
10
10
00
11
10
01
10
01
00
11
01
00
00
11
11
00
10
11
01
10
11
00
00
01
10
10
10
00
10
00
11
10
11
11
01
11
00
10
00
10
11
11
00
00
11
10
01
00
10
10
00
01
11
00
01
01
00
00
10
10
10
11
01
11
00
10
10
11
11
00
00
00
11
10
00
01
10
10
11
00
00
11
00
00
10
10
10
00
10
10
01
00
00
10
10
11
11
10
00
00
00
01
00
10
10
00
10
11
10
01
11
00
00
11
10
10
11
10
00
11
11
11
00
01
11
00
10
01
00
00
00
10
10
00
11
11
10
00
00
10
00
00
00
10
01
11
01
10
00
00
00
01
00
11
10
11
10
10
00
10
00
10
10
00
01
10
01
11
11
10
11
10
00
11
10
00
00
10
11
00
11
10
01
11
01
10
00
10
00
00
10
01
11
01
00
11
00
00
00
11
00
00
10
10
10
01
01
00
10
11
01
11
00
11
00
10
10
00
10
10
10
01
10
10
00
00
10
11
01
00
01
11
10
11
10
11
00
00
00
10
10
00
00
10
10
01
00
10
01
11
10
11
10
01
00
10
10
10
11
10
11
00
10
10
11
11
00
10
10
10
10
01
00
10
00
10
00
10
10
00
10
00
00
11
10
01
00
01
00
10
10
00
00
11
01
10
10
10
00
01
10
00
11
10
00
10
00
00
10
01
10
10
10
01
01
10
10
00
10
11
00
00
10
11
10
01
01
00
01
00
10
10
10
10
11
00
00
01
10
10
00
00
10
10
01
11
10
10
10
11
10
11
00
00
01
01
10
00
00
11
01
00
10
11
11
00
10
10
10
00
01
01
00
00
10
01
01
10
11
11
10
00
00
10
10
11
01
10
10
00
10
01
10
10
10
10
01
00
00
01
10
00
11
00
00
11
10
11
00
00
10
11
10
00
01
00
00
00
10
10
00
10
01
10
11
11
10
10
01
00
11
10
10
10
00
00
11
10
00
11
10
01
10
00
01
01
10
11
10
00
00
10
00
11
10
00
11
01
01
11
00
10
10
01
11
00
01
10
00
10
00
10
10
01
00
00
00
10
00
10
10
00
01
10
10
10
10
10
00
11
00
01
10
00
10
01
11
10
00
10
01
00
01
00
00
00
10
00
10
01
00
10
10
00
00
10
11
10
01
11
00
00
10
00
10
00
00
10
01
10
00
01
10
00
11
00
00
00
11
00
11
11
00
11
10
01
10
11
00
00
01
10
00
00
11
10
00
00
10
01
01
00
00
11
00
10
00
00
00
10
10
00
01
10
00
00
10
00
10
11
10
00
01
00
00
01
00
10
00
00
10
10
11
00
01
11
00
11
10
10
00
01
00
10
10
00
10
10
00
10
00
00
10
01
00
10
10
11
00
01
00
00
00
01
00
10
00
01
01
11
00
10
11
10
00
10
10
10
00
00
01
11
01
00
11
10
10
10
10
00
00
10
11
00
10
01
11
00
10
10
00
10
10
00
10
01
00
10
11
00
10
10
00
11
11
10
11
00
10
01
00
00
10
10
00
01
10
11
11
10
01
10
10
00
00
00
00
01
10
00
10
00
00
00
00
00
10
11
00
01
10
10
10
11
01
01
10
01
10
11
00
00
01
11
10
01
10
11
10
00
00
10
10
01
10
10
10
10
10
10
11
00
10
01
00
10
00
00
11
11
00
10
10
01
00
01
00
01
10
00
10
11
00
10
10
01
00
11
11
00
11
00
01
10
01
01
11
10
01
10
11
01
10
11
00
00
00
10
11
11
00
00
10
11
00
01
10
11
01
00
01
10
11
00
10
10
00
11
10
00
00
10
10
11
01
11
11
10
11
00
10
10
00
00
11
10
10
11
00
01
10
00
00
10
10
00
01
11
00
01
10
00
00
00
00
10
10
00
00
11
10
10
10
00
00
10
01
10
11
00
11
00
01
11
11
10
11
10
01
00
10
00
01
10
11
01
01
10
10
00
10
00
11
01
10
10
00
00
00
00
10
00
10
10
00
11
11
01
10
01
11
00
01
11
01
10
11
00
00
10
10
10
10
00
01
11
10
10
10
00
10
11
00
00
00
11
10
10
11
00
10
10
10
00
10
11
00
10
10
01
01
11
01
11
00
10
10
00
11
00
00
00
00
01
11
11
11
11
11
01
00
10
01
10
10
00
00
10
10
10
00
10
10
01
11
00
11
00
00
11
01
10
11
10
00
10
01
01
11
01
01
11
00
11
01
00
10
10
10
00
00
10
10
10
00
01
00
10
01
11
00
10
10
00
00
10
10
11
01
10
01
00
11
10
00
00
10
11
00
00
10
11
10
11
00
00
10
00
11
11
00
00
01
11
01
10
01
10
11
11
10
11
01
10
00
10
01
10
10
01
01
10
10
00
11
11
10
10
01
01
00
00
10
01
11
10
10
10
10
00
00
00
10
10
10
01
00
11
00
11
01
10
10
10
00
00
10
00
01
01
11
10
01
10
00
00
00
00
11
00
11
10
01
00
10
10
10
10
00
00
10
11
00
11
01
01
10
10
10
11
10
01
10
11
00
00
10
00
00
11
10
11
00
00
00
01
10
00
01
10
00
00
10
11
00
11
10
11
01
10
10
00
10
10
00
01
10
10
01
00
00
10
10
00
10
10
11
10
01
10
11
00
00
10
10
00
00
11
10
01
00
10
10
01
10
00
10
10
10
01
01
00
01
10
11
00
01
11
01
00
10
11
00
10
10
00
10
00
10
11
10
00
10
00
10
00
11
10
00
00
10
11
10
01
01
00
11
10
01
00
10
00
01
11
11
10
00
10
11
01
11
11
00
00
11
01
00
01
10
10
10
01
00
10
00
00
00
10
10
00
11
00
10
10
00
00
10
11
10
10
00
11
10
10
01
00
00
10
10
00
10
10
10
10
00
00
10
00
00
01
00
10
10
00
01
00
10
10
10
01
10
10
01
00
00
00
11
00
11
11
00
10
01
10
00
10
11
00
10
01
10
10
00
01
10
10
01
10
01
10
00
01
10
11
01
01
10
00
00
00
10
11
10
10
00
11
10
01
10
11
00
10
10
00
11
11
00
00
10
00
11
10
00
10
10
10
00
01
10
01
01
01
10
00
00
00
11
10
11
01
11
10
00
10
01
00
10
10
00
01
11
10
10
01
11
10
00
01
11
00
01
00
11
00
01
10
01
00
10
11
10
00
00
10
00
00
10
10
00
01
01
00
10
00
00
11
11
10
00
00
10
10
10
11
10
00
00
10
00
00
00
00
01
10
10
00
11
10
11
01
00
01
00
00
01
10
10
10
00
01
10
00
00
10
10
01
01
10
10
00
00
10
01
10
00
10
00
10
11
00
11
11
10
10
01
00
11
10
01
01
00
10
01
01
11
11
00
00
00
11
01
00
11
11
01
00
00
10
01
00
00
11
11
11
01
00
10
01
01
11
00
00
10
11
10
11
00
10
00
10
11
01
00
10
00
10
00
00
10
10
00
01
11
01
00
00
10
00
11
11
00
00
10
01
00
00
10
01
11
00
00
10
10
00
01
01
10
10
00
00
10
11
10
11
01
00
11
01
10
00
00
10
00
00
00
10
01
10
10
00
00
01
01
00
01
00
01
10
00
11
10
10
00
01
10
00
00
11
10
11
10
00
00
11
00
10
11
10
00
01
00
10
10
01
00
01
00
00
11
00
01
11
10
00
10
10
10
00
00
10
10
00
10
10
10
00
10
11
00
10
01
10
10
00
10
11
11
01
01
00
01
11
10
01
10
10
01
10
11
01
01
11
10
10
00
10
10
00
11
10
00
10
11
00
10
11
01
01
00
01
10
11
10
10
00
00
10
00
01
10
01
10
01
11
10
01
00
11
11
11
00
10
01
01
01
10
11
01
11
00
00
00
10
00
00
10
11
10
00
00
11
10
00
10
11
00
10
10
01
00
11
00
10
10
00
10
00
01
11
10
10
01
01
00
10
01
10
10
01
10
10
01
01
00
00
10
00
10
10
10
00
00
00
00
11
10
11
00
10
11
01
00
01
10
10
00
00
10
00
01
11
10
01
00
10
00
00
10
00
00
11
01
00
00
01
00
00
00
10
11
00
00
01
11
00
11
10
11
10
00
01
00
10
10
11
00
00
10
00
10
10
10
11
10
01
00
00
10
10
00
10
00
10
01
10
00
00
01
10
10
11
10
10
11
00
01
10
11
10
10
01
10
00
00
00
11
10
00
00
10
11
10
10
00
10
01
01
11
11
10
11
11
11
01
01
10
11
11
00
01
10
00
00
10
10
10
01
11
01
11
10
11
10
00
00
01
11
00
10
11
10
01
10
00
01
00
00
01
11
10
10
10
00
01
10
01
10
11
00
10
00
10
00
11
10
00
00
10
00
11
10
11
10
01
10
10
11
00
00
10
00
01
00
10
10
00
10
01
10
10
11
00
00
11
00
00
00
00
00
11
01
00
11
00
00
00
00
01
00
10
10
10
00
00
01
10
00
10
00
01
10
00
11
11
00
10
00
01
11
10
10
01
00
00
10
00
10
00
00
10
11
00
11
11
00
01
10
00
11
00
01
00
10
11
10
10
10
00
01
10
01
00
10
00
11
10
01
10
01
10
11
00
10
11
10
10
00
00
00
10
00
10
11
10
10
01
10
00
10
00
11
11
10
00
10
10
01
00
00
10
01
10
10
10
00
01
01
01
01
00
11
10
10
00
01
11
10
01
10
11
01
10
11
01
00
11
01
00
01
10
10
00
11
11
11
00
10
00
10
00
10
00
00
10
10
00
01
00
10
10
00
11
00
11
01
11
10
01
10
00
00
00
00
10
10
11
10
11
11
00
11
10
00
11
00
00
10
00
10
00
10
11
11
00
11
10
11
01
11
00
00
00
10
00
10
00
00
10
00
11
01
00
01
10
11
11
10
00
11
11
00
00
01
10
10
11
11
11
11
11
01
01
10
11
10
01
00
11
10
01
00
11
11
01
10
00
00
11
00
00
00
10
10
11
01
10
11
01
11
01
10
00
00
11
11
01
01
00
10
10
10
10
01
00
11
00
01
00
10
00
00
01
10
10
00
00
00
00
00
11
11
11
00
01
00
10
00
00
00
10
10
10
00
10
10
10
10
00
00
00
01
11
11
10
00
01
01
00
11
10
00
10
10
11
10
10
10
10
10
00
01
00
10
00
00
00
01
00
10
11
00
01
00
10
10
11
00
00
01
10
10
00
01
11
00
11
00
00
00
10
11
10
00
00
10
10
00
01
11
10
00
00
10
10
01
01
11
10
11
00
00
11
01
00
11
00
01
10
10
10
01
10
01
00
11
10
11
10
10
01
01
00
10
10
00
11
11
01
00
10
00
00
10
10
11
01
10
00
00
00
00
00
00
10
10
00
10
11
10
00
00
10
01
00
10
10
10
11
00
01
10
00
01
00
11
10
10
00
00
10
10
01
00
00
10
00
01
11
10
01
00
00
00
11
10
11
10
11
11
00
10
00
10
00
00
10
10
11
10
00
10
10
10
00
00
00
11
01
00
01
10
00
00
11
00
01
00
01
10
01
10
10
01
01
01
10
01
01
10
00
10
01
00
10
00
00
11
11
10
10
10
00
00
10
01
01
10
00
11
10
00
00
11
10
11
10
00
00
10
00
11
10
10
01
10
00
00
01
00
01
00
10
00
11
10
00
00
10
10
01
00
11
10
11
00
00
10
00
00
11
00
00
01
11
10
10
01
10
11
01
00
11
11
11
11
00
01
11
01
10
00
00
11
00
01
10
10
01
00
00
10
11
00
00
10
00
01
10
00
00
01
00
00
00
01
11
01
10
11
10
01
00
10
10
01
11
00
10
10
11
01
10
10
01
10
10
01
10
00
10
00
01
00
11
00
10
11
01
10
10
01
00
00
11
10
00
00
10
10
00
10
10
00
01
11
11
10
01
00
10
11
00
00
01
10
10
11
00
01
01
10
11
11
10
00
01
10
11
00
01
00
00
00
00
10
10
11
00
01
10
01
00
00
00
01
10
10
10
01
01
00
01
00
00
00
10
00
10
00
10
11
00
00
00
10
10
11
00
10
11
00
01
10
10
10
10
00
10
00
00
00
10
00
00
00
01
10
11
00
10
01
10
00
11
00
00
10
01
00
01
00
01
00
10
10
01
10
10
10
10
00
11
01
11
00
10
00
00
10
01
00
11
10
00
10
11
10
00
01
10
00
10
00
11
00
00
10
00
00
01
10
00
00
00
10
01
00
11
10
10
11
00
10
10
10
00
00
11
00
00
11
11
00
10
10
00
00
10
11
11
10
10
00
00
00
10
00
11
10
01
01
11
00
01
10
10
00
00
11
11
01
00
11
00
00
00
10
11
00
00
00
11
00
00
01
10
10
00
00
10
01
01
10
10
10
01
10
10
00
10
00
00
11
10
01
00
01
01
00
00
00
00
10
00
00
01
00
10
00
01
10
11
00
10
00
01
01
00
01
10
10
10
10
10
00
10
10
10
00
10
01
10
11
00
00
11
01
01
00
11
10
10
11
00
10
11
10
00
00
11
10
10
00
00
11
01
00
10
11
10
10
00
00
00
10
01
00
00
10
10
10
00
10
10
00
01
00
10
11
11
01
00
01
10
00
10
10
00
00
11
10
10
10
01
10
01
01
11
00
01
01
11
11
11
00
00
10
10
10
01
11
01
00
10
00
10
10
00
00
10
10
00
10
10
10
01
11
10
00
00
11
00
00
10
11
00
10
01
01
01
11
10
01
10
01
00
11
10
01
00
11
01
00
01
10
11
10
00
00
11
00
00
11
01
10
01
00
10
10
10
10
10
00
10
00
01
00
01
10
00
00
01
01
11
10
01
00
11
10
10
00
11
00
10
00
00
01
01
11
11
10
00
10
10
01
11
00
00
10
10
01
10
10
00
10
00
10
00
00
11
00
10
11
00
00
00
01
00
00
10
00
11
01
11
10
00
01
00
10
01
00
01
01
10
11
10
10
10
01
10
00
01
10
01
10
00
10
11
00
10
00
00
00
11
10
10
01
10
00
10
00
11
01
00
10
00
10
00
10
10
00
11
00
01
01
00
11
10
00
10
00
00
00
11
11
01
00
11
00
01
00
10
10
11
00
00
00
11
11
00
10
00
00
10
00
00
01
10
11
10
00
01
00
00
10
11
01
01
10
00
11
11
00
00
10
10
11
01
01
00
10
01
11
01
00
10
11
01
11
10
00
00
10
01
11
10
00
11
00
00
10
00
01
10
00
00
11
11
01
10
10
01
11
00
00
10
10
00
00
10
11
10
10
00
00
11
00
00
00
00
10
10
11
10
11
00
11
10
01
01
01
10
11
00
00
00
00
10
10
00
00
10
00
00
00
10
00
10
00
11
00
00
01
01
10
00
01
11
11
10
00
00
10
10
00
11
11
00
00
00
00
00
10
10
10
00
00
00
10
00
01
10
00
00
01
11
10
10
00
01
10
10
11
01
01
00
00
01
10
11
10
10
01
01
11
11
00
00
10
11
00
10
01
00
11
11
00
11
10
10
01
00
10
10
00
00
10
01
10
00
10
10
01
11
10
01
10
10
10
00
00
00
11
10
10
01
00
10
11
00
00
00
10
01
01
11
10
01
11
00
00
11
00
10
00
00
00
10
01
11
01
11
11
11
00
10
10
11
01
01
10
11
10
10
01
01
00
10
00
00
10
10
11
01
00
01
00
00
00
10
00
00
11
10
01
10
00
10
00
00
10
01
00
10
10
00
10
11
10
10
10
10
10
10
01
10
10
01
00
11
10
01
00
10
10
01
10
10
00
01
01
00
10
00
10
11
01
01
00
00
00
00
10
10
11
10
11
01
10
00
11
00
00
00
01
10
11
10
10
00
00
10
11
01
00
10
00
11
00
00
11
00
00
00
10
11
10
00
01
10
10
10
00
01
10
10
10
11
00
11
00
00
00
00
10
10
11
01
11
11
10
00
00
00
10
01
10
10
00
00
10
01
10
11
11
01
00
00
10
00
10
00
00
10
00
10
01
00
00
00
11
10
10
01
10
00
00
10
00
00
11
10
00
00
00
01
10
11
01
11
00
11
10
01
01
11
10
01
00
00
00
10
01
01
11
11
10
01
11
10
00
00
00
10
10
00
10
00
10
11
00
01
01
00
11
00
01
01
11
01
10
01
10
00
00
00
10
10
11
01
11
00
10
11
01
00
00
10
10
11
11
11
01
00
00
00
10
01
01
10
10
00
10
10
10
00
00
00
10
01
00
00
01
10
11
10
11
10
00
00
10
00
00
10
10
00
10
11
00
10
10
11
00
11
01
11
10
00
10
10
00
00
11
10
00
00
10
00
01
00
10
10
10
11
00
10
10
00
11
10
00
00
10
11
10
10
01
01
11
01
11
01
10
11
00
00
11
11
10
00
01
01
00
01
10
10
00
01
00
00
00
10
10
10
10
01
00
10
00
10
00
11
00
11
10
00
11
00
10
01
11
10
11
00
00
11
10
01
00
00
00
11
11
00
01
11
11
10
10
00
00
10
11
11
11
10
10
10
10
00
01
10
10
00
00
10
11
01
00
11
00
10
11
10
10
00
01
10
01
10
00
00
00
10
00
11
10
00
10
11
10
00
10
00
00
10
11
10
11
00
00
10
10
00
00
00
10
10
11
01
10
11
10
10
10
00
00
10
01
01
01
10
11
11
11
01
01
00
10
10
01
10
10
00
10
10
00
01
11
11
11
11
10
00
00
00
10
01
00
10
00
01
11
01
00
10
01
00
00
01
00
10
10
10
00
01
10
10
10
01
01
00
11
10
00
10
00
01
00
10
10
00
00
11
10
01
01
10
11
11
00
10
11
01
01
00
00
01
01
00
01
10
10
10
11
00
11
11
10
10
00
00
00
10
11
00
01
10
00
01
01
01
11
01
01
01
01
11
00
00
11
10
00
10
11
11
00
01
11
10
00
00
00
00
01
11
00
01
10
01
00
10
10
11
10
00
01
11
11
00
10
11
10
01
01
00
10
00
11
11
10
00
00
11
11
00
11
00
10
10
10
00
00
01
10
10
10
00
11
00
10
11
01
01
00
10
00
00
00
10
11
00
10
10
10
00
00
11
00
10
00
00
00
01
00
01
10
00
10
11
01
00
00
10
10
00
00
10
01
11
10
11
00
11
10
00
00
10
10
00
00
01
11
01
01
00
00
01
11
11
10
10
10
01
11
01
01
10
10
10
00
01
00
10
10
00
11
10
01
00
10
10
00
10
10
00
00
00
11
11
10
01
00
00
00
11
11
01
10
10
10
01
00
10
01
00
11
00
10
01
10
10
10
10
10
10
00
00
10
10
00
10
10
10
10
00
00
00
11
00
01
11
01
10
01
11
10
00
11
00
01
00
10
11
01
00
01
10
10
00
00
00
10
01
01
10
00
10
01
00
00
01
10
10
10
11
10
00
00
10
10
11
11
00
10
00
00
01
10
01
10
00
01
10
01
01
00
10
01
00
00
01
10
11
01
10
10
00
00
01
10
11
10
00
00
00
00
10
10
00
00
11
11
01
11
10
00
10
10
00
00
10
10
10
00
10
10
10
01
00
10
10
00
11
00
10
01
01
01
10
00
00
10
10
10
01
11
11
10
11
01
11
00
10
10
01
10
11
01
00
11
00
10
10
00
00
01
11
01
11
00
10
01
01
11
10
10
01
10
00
01
00
10
01
11
10
10
00
00
00
01
11
10
00
00
10
00
10
01
10
11
10
11
10
11
01
01
00
10
10
00
00
10
11
11
10
00
11
01
10
00
01
00
10
01
10
11
01
00
00
00
10
10
00
01
01
01
11
10
10
00
10
11
00
01
10
00
11
10
10
10
01
00
10
00
10
01
10
10
00
00
11
00
11
10
00
00
10
01
10
01
00
10
10
10
01
10
00
00
11
11
10
11
00
11
00
10
10
11
10
10
10
00
10
00
11
11
11
10
11
10
01
00
01
00
01
10
11
01
00
00
00
10
10
00
00
00
10
10
00
00
01
00
00
00
11
10
10
10
00
00
10
10
00
00
10
10
11
10
00
10
00
01
10
11
00
00
10
00
01
10
11
01
00
01
00
00
10
10
00
00
10
00
11
10
10
10
10
10
00
00
11
10
11
00
00
11
10
00
10
00
00
11
10
00
10
00
11
10
00
01
00
00
10
00
10
00
01
01
11
10
10
00
00
10
01
01
10
10
10
10
01
00
11
10
00
10
00
01
01
11
11
00
00
00
10
00
10
11
00
00
10
10
00
10
10
11
10
01
00
00
11
10
10
11
00
01
10
10
00
00
10
01
11
10
11
11
10
01
01
10
11
00
00
00
10
10
10
01
00
10
10
00
00
00
10
10
10
11
01
10
10
10
10
01
11
00
00
00
00
10
00
00
01
10
11
00
10
00
10
00
00
10
11
00
11
10
01
10
11
00
00
00
10
01
00
01
10
10
10
01
10
00
10
10
00
00
11
10
00
10
10
00
10
10
01
00
00
11
10
00
00
00
11
10
00
00
11
11
10
11
00
00
01
00
10
00
01
00
01
11
01
01
00
11
10
10
00
10
10
10
10
01
01
00
00
11
10
11
11
01
10
01
00
10
01
00
10
10
00
00
10
00
11
11
00
10
01
10
00
10
10
00
11
01
00
10
10
00
10
10
11
10
10
00
10
00
10
10
00
01
10
11
00
10
11
11
11
10
00
01
10
01
00
00
10
11
00
00
10
10
00
00
01
01
01
11
11
10
01
00
00
00
10
01
10
11
00
11
01
10
10
10
10
00
00
10
01
10
10
11
00
10
10
10
01
10
10
01
01
10
11
00
10
10
00
01
00
00
11
01
00
00
00
01
10
10
01
00
10
10
11
10
00
00
11
11
00
10
00
10
00
10
00
01
11
10
00
11
11
10
10
01
00
10
10
01
00
10
11
10
10
00
00
00
01
10
11
10
11
00
00
10
11
10
00
00
11
01
10
11
01
10
11
00
01
01
10
10
01
00
10
10
01
11
00
00
11
10
11
10
00
10
00
10
10
11
01
11
10
00
01
00
00
11
11
01
00
10
01
10
11
00
10
10
00
11
00
11
10
10
10
00
01
00
10
10
10
01
10
10
10
00
01
10
11
00
00
00
11
11
01
00
10
00
10
01
11
01
11
10
00
01
00
11
00
01
01
10
10
10
10
01
10
10
00
00
00
01
00
10
10
00
00
11
10
10
10
00
00
00
11
10
10
00
10
10
00
00
11
10
10
00
01
10
00
10
01
01
10
00
00
10
11
00
10
00
11
10
01
01
01
10
10
00
00
00
11
00
00
10
01
00
10
10
00
01
00
10
01
01
10
10
01
01
00
11
10
11
01
00
11
10
00
00
01
10
00
00
11
00
11
00
11
00
00
11
10
00
00
10
11
10
01
11
10
00
00
01
10
10
01
10
00
01
10
00
11
10
11
11
00
10
00
11
10
01
11
10
00
10
10
11
10
01
00
10
10
00
00
11
00
00
00
10
10
10
00
10
01
00
00
00
10
11
01
00
11
00
00
10
00
01
00
00
11
00
10
10
11
00
11
10
10
10
00
10
10
00
01
00
01
11
00
10
10
00
11
11
00
10
10
00
11
10
01
01
00
00
10
10
00
11
10
00
10
01
10
00
01
11
10
01
10
10
11
10
00
10
11
10
00
01
10
11
10
01
00
01
00
11
10
01
00
10
01
00
00
10
11
01
01
10
11
11
00
00
00
10
10
10
00
00
10
01
10
10
11
11
10
00
00
00
10
10
00
10
10
10
00
10
10
00
00
00
10
10
10
11
11
10
00
10
11
01
10
00
01
10
11
00
10
10
01
01
00
01
10
00
11
10
10
00
00
00
11
11
01
01
00
11
11
11
00
00
10
10
11
10
10
01
00
10
00
01
11
11
01
10
10
00
10
00
10
11
00
01
10
01
01
10
10
11
10
00
01
10
00
01
11
10
01
10
10
11
00
00
10
00
01
11
11
01
10
11
10
11
01
10
00
10
00
00
00
10
10
10
00
00
10
10
10
00
10
10
01
01
10
11
11
10
01
01
00
00
10
00
01
01
10
10
10
10
01
00
01
10
10
10
10
00
00
10
10
10
00
00
00
10
10
10
10
10
11
10
01
00
00
00
01
00
00
10
11
00
00
10
10
00
00
00
11
11
11
10
10
01
10
10
01
10
10
11
11
00
00
10
00
00
10
11
00
10
00
11
01
11
10
00
10
10
01
00
10
10
00
01
00
11
00
10
10
10
00
10
00
00
10
10
10
11
01
11
11
00
01
11
11
00
10
10
01
00
10
11
11
10
00
01
11
01
11
01
11
00
01
10
00
01
01
10
10
10
10
10
01
00
11
11
01
01
10
00
01
01
10
01
00
10
10
10
10
00
00
11
11
10
11
01
11
00
01
00
00
10
10
00
01
00
11
10
00
10
00
00
11
11
00
00
11
10
00
01
00
10
11
10
00
11
00
00
11
00
10
00
01
11
10
01
10
01
00
00
10
10
01
01
10
11
01
01
10
10
11
10
10
10
00
00
01
10
00
00
10
01
10
10
10
10
10
01
01
11
10
11
00
00
10
10
01
00
10
10
11
00
00
11
10
10
00
01
00
10
01
00
10
00
10
01
01
00
11
10
01
10
10
11
11
00
01
10
10
10
10
00
10
10
00
00
10
00
10
10
00
01
11
10
10
11
01
10
01
10
11
00
00
11
00
00
01
10
10
10
11
01
10
10
00
10
01
10
10
00
00
10
11
10
01
00
10
01
10
00
01
11
11
10
10
01
00
11
00
11
00
00
11
11
10
00
00
11
00
00
11
01
00
11
00
01
10
10
00
10
00
01
10
01
10
11
00
01
10
10
00
00
10
10
00
00
10
11
10
01
00
00
10
00
01
10
00
00
01
01
10
00
10
00
00
10
11
00
10
10
11
00
00
00
01
00
01
10
10
10
11
00
00
10
10
10
10
00
00
10
00
01
10
11
01
00
10
10
10
00
00
10
11
01
00
00
01
10
10
10
00
10
10
00
00
00
00
10
10
00
10
10
10
00
00
00
00
00
00
00
00
10
10
00
10
10
01
10
11
00
00
00
10
01
00
10
11
10
11
00
10
01
10
10
10
10
01
11
10
00
00
11
00
00
00
10
10
01
00
11
00
10
11
10
10
10
01
00
00
10
01
10
11
10
01
01
10
01
00
01
10
01
01
01
10
10
01
00
10
10
10
01
10
10
01
00
10
11
11
00
10
00
11
00
01
00
11
01
00
11
10
10
00
11
10
10
10
00
00
00
01
00
10
10
01
10
00
01
10
10
00
10
01
00
10
10
10
10
10
11
10
10
00
00
00
00
10
11
00
01
00
11
10
01
11
10
10
00
01
10
10
01
10
10
10
10
10
00
10
00
00
11
00
01
00
00
10
01
00
01
11
11
00
00
01
00
10
01
00
11
00
00
10
10
11
01
01
10
00
00
00
11
11
00
10
10
01
01
10
01
11
01
00
11
00
10
10
01
00
01
11
10
10
10
00
10
01
00
10
11
00
00
01
00
11
00
00
10
10
10
01
01
00
10
00
00
01
11
10
00
10
10
01
11
00
10
01
00
11
10
10
11
00
01
00
10
10
00
01
10
00
10
00
00
10
10
00
10
10
10
01
10
10
01
00
10
01
10
00
11
00
01
10
11
10
01
01
00
10
10
10
00
00
10
11
10
00
00
10
00
00
10
10
01
11
10
01
00
01
10
10
11
01
10
00
11
11
00
10
11
01
10
11
01
11
00
00
10
00
10
11
11
00
00
00
10
11
10
11
00
01
10
00
00
10
10
01
11
10
10
00
00
11
00
00
00
11
10
10
00
10
01
00
10
10
11
00
11
11
10
00
11
10
10
00
00
11
10
10
01
11
00
11
00
10
10
10
11
00
10
01
00
00
10
10
11
10
00
01
11
10
10
10
01
00
00
10
11
00
11
11
00
00
10
01
10
00
01
00
10
11
01
10
00
00
11
10
11
01
00
00
01
11
00
00
10
10
00
01
01
01
11
10
00
11
10
11
00
11
10
01
11
01
00
11
01
00
01
11
11
00
00
10
00
10
10
01
00
11
00
11
10
00
00
10
11
00
11
11
10
00
00
00
10
11
00
00
01
10
10
10
10
00
00
11
11
10
00
10
01
10
11
01
10
10
00
10
10
01
00
01
11
10
00
01
00
10
11
00
01
11
10
10
10
10
00
01
01
10
10
10
11
10
00
00
00
10
00
00
00
00
01
01
00
10
00
01
00
00
11
10
10
01
01
10
11
11
00
01
10
11
10
11
00
00
00
10
10
00
10
00
10
11
10
11
10
00
01
01
01
00
01
00
01
01
11
10
10
00
10
10
00
00
10
10
00
10
00
10
10
11
11
00
11
11
01
00
10
00
00
00
10
10
00
00
00
01
00
10
10
10
10
10
11
00
01
00
10
01
01
11
00
10
10
00
10
00
01
10
00
00
00
00
01
10
11
10
00
10
00
10
10
10
00
11
01
00
00
10
01
00
00
10
00
10
00
00
01
11
10
10
00
10
00
10
10
01
00
10
11
11
01
01
10
10
00
00
10
00
00
10
10
00
00
01
11
00
00
01
00
00
01
11
11
10
10
10
11
10
01
01
11
10
00
11
11
11
01
00
11
10
01
01
10
11
00
00
10
10
00
00
10
11
10
10
10
10
00
01
00
11
01
10
11
11
00
00
10
10
00
00
11
01
01
10
10
11
00
10
00
01
10
11
00
00
11
10
10
00
00
11
00
00
10
11
01
11
00
11
10
00
10
01
10
00
10
11
10
11
00
10
10
00
00
01
11
11
11
00
00
00
10
00
10
00
10
10
00
11
00
10
00
10
01
01
11
10
00
00
00
10
10
00
01
00
01
10
01
10
10
11
00
10
00
00
11
11
10
00
00
10
10
11
00
01
01
10
11
11
10
00
00
10
10
00
00
01
10
00
10
01
11
11
01
11
10
01
01
00
01
01
00
00
10
11
10
00
10
11
00
00
00
10
00
01
00
10
10
00
00
11
00
10
10
11
01
10
00
00
00
00
10
10
11
00
00
10
00
01
00
01
11
11
00
01
11
00
00
10
00
01
11
10
00
00
01
11
11
00
10
10
00
00
11
11
01
01
10
10
00
10
10
10
01
00
01
11
10
10
00
10
01
01
11
11
00
00
10
00
00
10
10
00
00
10
11
00
01
10
00
01
10
10
00
00
10
10
10
00
11
10
10
01
10
01
10
11
10
00
00
00
01
01
11
00
00
10
11
01
10
01
00
11
01
10
11
01
01
10
10
11
11
10
01
00
10
10
10
01
00
10
10
00
10
10
11
10
10
00
01
00
00
01
00
00
01
11
11
10
00
01
10
00
10
10
01
00
00
00
00
10
11
00
00
01
10
11
00
10
01
00
10
10
00
00
10
01
00
10
11
00
10
01
11
10
10
01
11
10
01
00
00
00
00
00
11
01
00
10
00
10
01
00
10
11
11
01
00
11
11
00
00
00
00
01
10
11
11
01
00
10
00
10
00
11
10
00
00
10
10
00
01
11
11
11
00
00
11
10
01
10
11
00
01
00
01
11
10
00
11
10
11
01
01
11
00
00
11
10
00
10
10
00
00
01
11
10
00
10
11
01
10
10
10
00
01
00
00
01
11
00
01
10
00
00
00
00
11
10
01
00
00
10
00
10
11
00
01
00
11
10
01
00
01
11
10
00
10
11
00
01
11
00
00
11
00
01
10
11
00
10
10
00
10
01
11
10
10
00
10
00
10
10
01
00
10
00
01
10
00
01
10
10
00
00
10
11
00
01
10
01
11
01
00
10
10
10
01
10
00
01
01
10
01
10
11
01
01
11
01
00
10
10
00
11
10
00
00
10
11
00
01
10
00
10
11
00
01
10
10
01
10
10
01
10
10
11
00
01
11
11
00
01
10
11
00
10
10
00
11
00
00
10
10
00
01
10
11
00
00
10
10
01
00
00
10
00
10
11
00
11
00
00
00
01
00
11
01
01
00
10
00
01
11
10
11
01
11
11
00
00
10
11
01
01
10
11
01
10
10
11
10
00
10
11
01
00
10
00
01
11
00
01
00
11
10
01
11
11
11
01
00
10
10
00
01
10
00
00
11
01
00
11
10
10
01
01
00
11
00
00
10
10
00
00
00
11
11
10
00
00
00
11
00
11
11
00
01
10
10
10
00
00
00
10
10
10
10
10
10
00
11
00
10
10
00
00
10
10
00
01
10
10
10
00
00
10
01
00
10
10
10
00
00
00
10
00
00
10
00
00
10
10
11
10
00
01
01
10
01
00
10
11
00
00
01
10
10
00
00
01
01
00
10
10
00
00
10
00
00
10
10
10
00
01
11
11
11
00
00
01
00
10
10
00
00
00
10
10
11
01
00
00
00
10
10
00
01
10
00
11
00
00
00
01
00
00
11
01
11
00
10
10
01
00
11
11
01
11
10
01
00
01
10
00
00
11
11
11
00
00
00
11
10
00
11
10
00
10
10
01
01
11
00
00
01
10
11
00
10
10
10
10
00
01
10
00
10
01
10
10
00
10
00
11
10
00
00
11
00
10
00
11
10
01
10
00
00
10
01
00
00
00
10
10
00
11
10
10
11
00
00
00
00
10
10
11
11
00
10
11
10
11
11
00
00
01
10
00
10
01
00
01
00
11
00
00
10
00
00
10
00
10
00
00
10
10
00
10
01
01
01
01
10
11
00
00
10
11
01
00
01
10
10
11
10
10
00
10
10
01
00
11
00
10
10
11
10
10
10
00
01
10
01
00
01
10
11
10
11
11
00
01
10
10
00
01
10
10
00
00
00
10
10
01
11
01
10
11
11
00
11
10
01
10
01
00
10
11
01
10
10
00
01
10
10
00
10
10
10
01
10
10
00
10
00
10
00
01
00
00
01
00
10
00
10
00
11
10
11
01
11
10
11
10
00
10
10
10
00
11
11
01
10
01
11
11
10
00
10
10
00
10
11
00
11
00
01
00
11
00
00
10
10
10
00
00
11
10
00
00
11
00
10
01
01
10
11
01
01
11
00
01
00
00
10
00
01
11
11
10
01
00
10
01
10
01
10
00
00
10
00
00
10
11
11
10
10
11
01
00
00
10
10
00
10
11
00
10
10
01
11
11
01
00
00
00
00
10
11
00
01
00
00
00
10
00
11
11
00
10
01
01
10
10
01
01
10
00
10
10
00
10
10
00
11
01
00
01
00
11
11
01
11
11
00
00
00
00
00
10
10
00
11
10
00
00
00
00
10
11
00
10
00
11
10
10
10
00
10
10
10
10
00
00
11
11
01
11
10
00
00
10
10
01
00
11
11
10
10
00
10
10
00
10
11
00
11
00
01
10
11
00
01
10
11
00
10
10
10
00
01
10
10
01
10
00
10
00
00
00
10
10
11
11
11
00
00
10
00
00
10
00
10
10
10
10
00
10
00
00
11
10
01
01
00
11
00
01
11
10
00
01
00
10
10
01
00
10
00
11
11
01
00
10
11
00
10
01
01
10
00
01
11
01
10
00
00
11
00
10
00
00
00
01
00
00
10
11
11
10
00
01
00
11
00
01
11
01
00
10
11
11
00
11
11
00
00
00
10
00
00
10
10
00
00
11
00
00
10
11
00
01
01
11
01
01
01
00
00
10
11
00
01
10
10
10
00
10
00
11
01
01
00
11
10
00
00
00
00
10
10
00
01
00
11
00
10
10
01
10
10
00
01
00
10
11
01
00
01
11
00
01
10
01
10
10
00
00
11
11
01
10
11
00
11
10
00
10
10
00
00
01
11
11
11
11
01
00
11
01
00
10
10
00
10
10
00
00
10
00
00
11
01
11
10
11
00
01
01
10
10
00
10
11
01
01
11
10
00
00
10
11
00
01
01
10
10
11
11
11
01
11
00
00
01
11
11
01
10
10
01
00
00
10
10
00
01
11
00
01
11
00
01
11
00
10
00
00
10
00
01
10
11
00
10
01
11
01
00
10
10
10
00
10
00
01
10
00
10
00
11
10
11
00
10
00
11
10
00
11
01
00
11
01
10
10
10
10
10
10
00
01
10
00
01
10
10
10
00
00
01
10
00
10
01
00
01
11
11
11
10
01
00
11
10
00
00
10
00
01
10
11
10
11
01
00
10
01
10
00
00
10
01
01
00
10
11
10
01
00
00
10
00
00
00
00
10
11
00
11
00
10
00
11
10
00
10
10
00
01
10
01
11
10
00
01
01
11
00
00
10
00
00
00
10
10
11
01
01
10
10
10
00
01
10
10
01
01
11
10
00
00
11
01
10
10
10
10
00
10
00
00
11
01
10
10
10
11
00
10
00
01
10
10
00
00
10
11
10
00
00
10
01
01
00
01
10
10
01
11
00
10
10
10
11
01
00
11
00
00
00
00
10
00
00
00
00
00
00
10
11
10
01
10
11
10
00
10
10
00
00
11
11
11
00
00
10
00
01
01
10
01
01
10
01
10
01
00
00
10
10
10
00
11
10
00
00
00
11
00
00
01
00
10
00
11
01
00
11
11
10
10
10
00
00
10
10
10
00
10
11
10
10
01
11
01
11
11
00
00
10
10
00
01
10
11
10
00
01
00
10
00
10
11
11
11
00
00
00
01
10
01
01
10
11
01
00
01
10
10
00
10
10
10
10
01
01
00
10
10
00
10
10
11
00
00
11
10
00
10
00
00
10
11
10
01
00
10
01
01
11
01
00
10
01
10
00
10
11
10
01
00
00
00
10
10
00
00
11
11
00
00
00
01
11
10
10
01
11
00
10
11
10
01
10
10
00
10
10
00
10
11
01
11
00
00
00
01
00
10
11
00
11
11
00
01
00
01
10
10
00
01
10
10
01
10
10
10
00
01
00
11
11
10
01
01
00
11
00
10
10
00
00
10
11
00
00
00
00
01
00
01
10
11
01
11
10
00
10
10
10
00
01
10
11
01
10
10
01
00
00
00
10
10
00
10
10
10
00
00
10
00
00
10
01
10
10
01
01
01
10
00
01
01
10
10
10
01
01
00
10
10
00
00
10
01
01
10
00
01
00
01
10
11
00
00
11
10
11
00
00
11
11
10
00
00
00
00
10
11
10
01
00
11
11
10
10
11
10
00
00
00
10
11
01
10
10
01
00
00
00
00
00
10
00
00
11
11
10
00
00
00
10
10
10
10
10
11
10
11
00
00
11
10
11
00
11
10
11
00
01
00
10
10
00
00
10
01
01
11
10
01
00
00
00
11
10
00
10
11
11
01
11
10
00
00
01
10
00
01
10
00
00
01
00
00
10
10
11
11
00
01
01
10
10
00
10
10
10
00
01
01
10
11
00
00
10
00
10
10
01
00
00
00
01
11
01
00
11
10
10
00
00
10
10
10
01
10
10
00
00
11
10
00
11
10
00
01
10
11
01
10
10
00
11
11
11
00
00
00
10
00
10
10
00
10
00
10
10
00
01
11
11
00
01
10
00
10
10
00
10
10
00
10
00
00
10
00
10
10
00
00
10
10
10
11
11
00
10
10
01
00
10
11
10
00
00
11
11
00
10
01
11
10
10
00
10
10
11
10
01
01
00
11
10
11
00
01
10
10
01
01
10
00
10
10
00
01
10
00
10
10
00
10
11
10
00
00
10
10
10
00
01
00
01
00
00
10
11
00
10
00
01
00
10
00
00
10
01
00
00
10
00
01
01
11
01
10
10
00
10
11
10
00
00
10
11
11
11
00
10
00
01
10
10
01
00
11
10
10
00
00
10
00
11
10
00
00
00
00
10
11
00
10
10
11
00
10
11
00
00
11
10
00
00
10
11
01
00
00
11
11
10
01
10
00
00
11
11
10
10
01
00
10
01
10
10
00
10
11
10
11
10
10
01
10
00
10
00
00
10
10
10
00
00
11
11
00
10
01
10
10
00
00
00
10
10
00
00
01
00
10
01
00
10
10
10
11
10
01
11
00
01
01
01
01
01
10
11
10
01
11
00
00
11
00
01
10
00
11
10
10
01
00
10
00
00
10
10
10
11
01
10
00
00
00
11
10
01
01
00
01
10
10
00
10
01
00
10
10
00
10
10
11
10
01
10
10
00
10
00
01
00
00
10
00
00
11
10
01
01
11
01
00
00
10
01
00
01
10
11
10
10
01
10
00
00
00
00
00
11
11
00
01
00
00
01
10
10
00
00
10
11
01
10
10
10
11
11
00
00
10
10
01
00
10
01
00
10
00
01
11
00
10
01
10
01
01
10
10
10
10
00
01
10
01
00
01
10
00
11
10
11
10
00
00
00
00
00
00
10
11
00
10
10
00
00
10
00
11
10
01
00
01
11
10
00
00
10
10
00
10
00
00
10
10
10
11
00
00
11
11
11
01
11
00
10
10
00
11
10
00
00
10
10
10
11
10
01
00
10
10
01
01
00
00
11
00
00
11
10
11
00
00
00
10
00
01
00
00
00
10
00
10
10
10
01
10
00
11
10
01
00
01
10
00
11
00
11
10
00
01
10
11
00
00
10
11
01
10
10
00
00
10
00
00
01
11
10
10
00
01
10
00
01
10
11
10
11
10
00
01
11
11
00
00
00
00
10
00
01
11
11
10
01
10
01
11
01
00
01
11
10
10
00
00
11
00
01
10
10
10
10
10
00
10
10
10
11
01
10
01
10
01
11
10
11
01
00
11
00
00
10
00
01
11
10
00
11
11
00
11
01
00
01
10
10
00
10
00
00
11
11
00
01
10
11
00
00
10
10
01
10
10
00
10
01
01
11
10
00
00
00
01
10
10
10
01
01
11
00
10
10
10
01
10
10
00
11
10
00
10
10
01
11
10
00
10
10
10
11
10
10
00
00
00
10
10
00
01
10
00
00
00
10
11
00
10
11
01
10
10
00
10
01
00
10
01
00
10
10
10
11
10
00
10
00
11
11
01
00
11
00
10
00
00
11
10
10
00
10
00
00
10
00
10
11
00
10
10
11
01
11
11
01
00
11
01
10
10
00
00
10
01
01
10
00
00
10
10
10
00
00
10
11
00
00
11
01
11
11
00
00
00
11
00
00
10
11
10
00
00
10
00
11
00
01
01
10
10
00
00
10
10
01
01
01
10
01
10
01
11
00
00
10
00
00
10
10
10
10
00
00
01
00
10
10
00
10
10
00
00
10
00
00
10
10
00
00
01
10
00
10
11
11
00
00
11
10
00
00
00
11
10
00
11
00
10
10
00
10
10
00
01
00
10
01
11
00
10
00
01
00
00
10
10
01
00
01
10
00
00
00
10
00
10
10
11
01
00
01
10
00
10
10
00
00
11
10
00
10
10
10
11
11
01
11
10
11
00
00
10
00
01
00
10
11
00
10
01
01
10
11
10
01
10
00
10
01
00
11
00
01
00
10
11
01
00
10
10
01
10
10
10
01
10
10
00
01
00
10
01
10
00
11
11
10
01
00
11
00
00
01
00
00
11
00
00
00
00
10
01
00
11
10
01
01
00
00
10
01
11
00
00
01
10
00
00
00
00
11
10
01
00
00
00
11
00
10
00
00
00
10
10
00
10
10
11
01
11
10
01
10
00
11
00
00
11
01
11
10
01
10
00
01
01
11
10
00
00
01
11
00
00
10
10
00
10
11
00
00
10
01
10
11
11
01
11
10
00
11
01
00
11
10
01
10
00
11
00
01
10
10
10
10
01
01
00
10
10
00
11
11
00
00
10
11
00
01
10
11
10
00
01
11
00
00
00
11
10
10
00
00
00
01
10
10
10
11
00
00
00
10
10
00
01
00
00
00
00
10
01
00
10
00
00
01
00
10
10
11
01
00
11
01
01
10
11
00
10
00
00
01
10
10
00
10
11
00
11
00
00
10
11
10
10
10
00
11
00
10
10
00
10
00
10
00
01
00
10
00
00
11
10
00
00
01
11
10
01
00
01
10
11
11
11
10
01
00
01
10
00
10
11
10
01
00
00
10
11
10
10
00
01
11
11
11
11
01
11
10
10
00
00
10
00
10
11
00
00
11
11
10
00
00
01
11
10
01
11
10
01
10
00
10
01
00
10
01
00
00
00
10
11
01
01
10
00
10
00
00
10
00
00
00
00
00
10
01
10
10
10
10
00
11
10
11
10
00
11
00
10
10
10
00
11
00
00
00
00
11
10
11
00
00
00
10
00
00
10
10
01
00
11
10
00
01
10
10
10
00
01
00
01
00
00
11
00
00
10
00
10
11
00
01
00
01
11
10
00
01
10
01
11
11
10
00
00
10
00
01
10
11
10
10
10
00
10
00
01
10
00
10
00
10
10
00
10
00
01
10
11
00
00
10
11
10
00
00
00
11
01
10
10
11
01
00
11
00
10
10
00
10
10
00
01
11
10
10
00
10
11
11
11
00
10
11
00
00
01
00
10
01
00
10
10
10
10
00
11
10
10
10
00
00
00
10
10
01
11
00
00
10
11
01
00
01
10
01
10
00
00
10
00
10
10
10
10
00
00
10
10
00
10
11
00
10
01
01
10
00
00
01
00
01
11
10
00
11
01
00
01
10
10
10
10
00
01
10
10
10
10
01
00
10
00
00
10
00
10
10
10
11
10
10
00
00
01
00
10
01
10
10
00
01
01
10
01
00
01
01
10
01
10
00
00
10
10
01
10
10
10
00
00
11
00
10
01
10
00
01
11
00
01
11
01
10
10
10
10
10
01
10
01
11
11
00
11
00
10
01
00
10
10
01
00
11
00
11
11
10
10
10
00
01
00
01
10
00
01
01
01
11
10
01
00
10
11
01
00
11
01
00
00
01
11
10
11
00
00
00
01
01
10
11
00
00
01
10
10
00
11
10
00
01
10
00
11
11
00
10
10
10
00
01
00
11
00
01
10
01
10
00
11
01
10
00
10
11
10
10
01
10
10
00
10
10
01
00
10
00
00
00
10
10
00
00
00
00
10
11
00
10
11
01
00
10
10
10
00
10
10
01
10
11
00
11
01
10
00
00
00
10
11
00
00
00
00
10
01
00
10
01
00
00
11
10
00
10
01
00
00
11
10
10
10
10
00
01
01
10
10
11
10
11
00
00
10
10
10
01
11
11
10
10
10
00
01
00
10
10
10
00
10
11
00
11
10
00
11
11
11
01
10
10
11
10
00
11
01
00
01
01
10
11
01
00
00
00
11
10
01
00
01
10
01
00
01
01
11
01
01
10
01
00
10
00
01
10
10
10
01
01
00
00
10
10
01
01
10
10
01
10
10
10
01
01
10
00
10
10
00
10
01
00
11
00
10
10
10
01
00
11
10
00
11
10
00
00
10
11
00
01
01
10
10
10
00
01
00
11
10
10
11
10
00
10
00
00
10
11
11
00
00
10
00
10
11
01
10
10
11
10
01
10
10
00
00
00
01
00
10
10
00
00
00
10
10
01
11
01
00
01
11
11
10
00
01
10
00
10
10
00
00
11
10
00
01
11
01
10
11
01
10
00
01
10
10
11
00
01
10
00
10
10
01
10
01
00
01
11
00
01
10
10
00
00
11
10
11
00
00
01
00
10
10
10
01
00
11
00
00
01
01
11
00
00
10
11
01
01
00
10
10
00
10
00
00
10
01
00
10
00
01
00
10
01
00
00
11
00
11
10
00
00
00
10
00
11
10
10
01
10
11
01
10
01
10
11
00
10
00
01
00
11
11
01
10
01
11
00
10
10
10
00
10
10
00
10
10
10
11
10
00
10
00
10
01
00
10
00
00
10
01
10
00
10
10
10
10
00
00
01
00
10
10
00
10
00
10
10
00
10
01
00
00
10
00
00
10
00
10
10
10
00
00
00
00
10
00
01
00
00
10
01
00
10
00
01
10
00
01
10
00
10
10
10
00
00
01
00
11
10
10
10
10
11
00
11
11
00
10
10
01
00
00
10
10
11
00
01
01
01
11
10
11
01
00
11
00
10
10
10
01
00
11
10
00
11
00
10
00
10
10
00
10
00
10
11
00
00
00
10
11
00
10
11
00
01
11
10
01
01
00
10
01
00
01
10
11
11
11
10
00
00
00
10
11
00
10
01
00
00
00
00
10
00
10
01
01
10
11
10
11
01
10
11
01
10
11
10
00
01
11
11
10
00
00
01
01
00
00
10
10
10
10
00
10
11
11
11
01
10
00
10
10
01
10
11
00
01
10
10
00
00
10
11
01
00
01
10
01
00
11
01
00
10
10
10
00
10
10
10
01
10
00
01
01
00
00
10
01
01
10
10
00
00
10
11
10
11
00
01
10
10
01
01
00
01
10
10
00
10
01
00
10
00
10
10
00
10
11
10
00
00
00
00
11
01
01
10
00
00
01
10
01
00
10
11
11
11
10
00
10
00
10
10
01
01
00
01
10
11
11
10
00
01
00
10
00
00
11
01
00
11
01
00
01
11
01
10
11
00
10
00
00
11
10
01
00
10
00
10
00
00
11
10
11
11
00
00
00
10
10
00
01
11
11
01
00
00
10
01
00
10
11
00
10
11
10
00
11
00
10
10
00
10
01
00
00
00
11
10
00
01
01
11
00
00
11
10
01
01
01
10
10
01
10
00
01
01
10
10
00
10
01
00
10
10
00
00
00
00
00
11
10
00
00
10
00
00
01
00
10
10
00
10
10
10
01
00
01
10
10
00
01
00
00
01
11
10
10
10
01
01
10
00
01
10
10
00
10
01
01
11
01
10
11
01
01
01
10
10
00
00
11
10
00
00
11
10
10
10
00
00
01
00
00
11
10
11
11
10
00
10
00
00
11
10
00
11
11
11
10
10
10
01
00
10
11
11
10
01
00
00
10
10
10
00
01
10
10
00
00
00
00
00
10
00
10
00
00
00
10
01
00
01
10
11
10
11
10
01
10
10
00
01
11
01
00
10
00
10
10
01
00
10
01
11
10
00
10
00
11
00
11
01
00
00
10
01
00
00
01
10
11
11
10
01
01
10
11
00
11
11
01
11
01
11
10
11
00
00
11
11
00
00
00
01
10
01
10
11
00
10
00
01
01
10
00
00
01
10
00
11
00
10
10
01
11
11
01
01
00
00
10
10
10
10
00
00
10
00
11
11
10
01
11
10
10
01
10
00
10
10
00
10
00
10
00
01
10
00
10
11
11
00
10
00
00
11
11
00
00
00
11
10
01
00
11
00
11
10
01
10
01
00
00
01
11
11
00
11
10
01
01
10
11
00
01
00
11
10
11
01
01
00
10
00
00
10
10
11
00
10
10
10
10
00
00
10
10
10
01
10
01
00
11
10
01
00
10
11
00
11
10
11
00
00
10
00
10
10
00
11
10
00
00
10
10
00
00
00
10
11
10
00
10
01
10
01
00
11
11
00
10
10
00
00
10
10
01
00
00
01
11
11
10
00
10
10
10
10
11
00
10
01
01
11
10
01
10
00
11
01
00
01
10
10
10
00
00
10
01
10
01
01
10
00
00
00
10
10
01
11
11
10
00
00
10
10
00
10
11
01
00
01
11
00
11
00
00
00
10
10
11
10
01
00
00
10
10
00
11
00
01
10
10
00
10
10
00
10
10
11
11
11
10
11
10
01
10
11
10
00
01
11
10
01
11
10
01
10
00
00
10
11
00
01
10
10
00
10
10
00
00
00
11
01
00
01
10
10
00
11
00
10
00
00
00
10
01
00
10
11
11
01
01
01
00
10
01
10
11
00
01
10
11
00
10
11
01
00
00
00
11
10
01
10
11
10
01
01
00
10
11
10
10
01
00
00
10
11
01
10
10
00
00
10
10
01
00
00
10
10
10
10
00
00
10
10
11
10
00
00
11
00
11
10
01
00
01
00
11
10
11
01
01
10
00
00
10
10
01
01
10
11
10
00
10
11
00
01
10
11
10
00
11
10
10
00
11
00
00
00
00
10
11
00
10
10
01
10
11
10
00
10
10
11
10
01
10
01
00
01
00
00
01
10
11
00
00
10
00
00
00
10
00
10
10
00
00
01
10
10
10
11
00
10
00
00
00
00
01
10
10
11
00
00
00
00
10
01
11
10
00
00
00
10
10
00
01
10
10
00
10
10
00
11
10
10
10
10
11
10
01
00
10
11
10
01
10
01
11
01
01
10
00
00
01
10
01
10
10
10
00
00
00
00
10
01
01
10
10
00
00
00
11
00
00
00
00
10
10
10
10
00
00
10
00
00
00
00
11
10
00
10
00
10
00
11
01
10
00
00
10
00
10
10
10
00
00
10
00
00
10
00
00
01
11
11
10
10
00
10
01
01
11
10
10
00
11
11
10
00
00
10
11
01
01
10
00
11
11
00
01
00
10
11
01
01
01
00
10
10
11
10
01
00
11
10
01
00
10
10
00
10
10
10
00
00
01
00
10
10
00
00
00
00
11
01
11
10
11
01
11
10
00
11
10
10
00
00
11
00
11
00
00
01
11
00
01
00
10
10
10
10
00
10
11
01
10
00
01
00
10
00
00
00
00
10
10
10
00
00
10
10
00
10
11
10
11
10
10
10
01
01
10
01
01
00
10
10
00
00
10
11
00
01
01
10
00
01
01
10
11
00
01
10
10
10
10
00
01
00
11
00
10
10
00
01
10
01
00
10
10
10
11
01
01
10
00
11
11
11
10
00
10
01
00
00
00
10
11
00
01
11
01
11
00
10
00
11
00
10
11
01
00
11
10
10
01
00
10
10
00
10
11
10
11
01
00
00
10
11
01
00
00
10
00
00
10
10
00
00
11
10
10
00
00
10
00
10
00
10
10
10
00
10
00
00
11
11
10
10
00
00
01
01
10
10
10
11
01
10
10
01
11
00
00
11
10
00
00
00
00
00
10
10
00
10
11
10
00
00
11
10
01
00
00
00
10
00
10
00
01
01
11
00
10
00
10
01
10
10
00
10
00
01
10
00
10
10
10
11
10
01
01
00
11
11
10
01
01
10
10
10
01
01
00
10
10
01
00
10
01
01
01
11
11
10
01
10
10
01
00
10
11
00
00
11
11
01
11
10
01
10
10
11
01
10
10
10
00
01
00
10
11
10
00
10
00
10
11
00
01
01
11
10
00
00
00
01
10
00
00
00
10
01
10
10
00
10
10
11
10
00
11
01
10
10
01
00
01
10
10
00
00
01
10
10
00
10
01
01
00
00
10
10
01
11
11
11
10
01
00
10
10
10
01
11
11
00
11
11
00
10
10
00
10
01
00
11
00
00
00
10
01
01
00
10
00
11
01
10
10
10
00
00
00
01
01
11
10
11
11
00
10
10
00
10
01
00
11
11
00
00
11
00
00
00
10
11
10
11
00
01
10
11
00
01
01
10
11
00
00
10
00
11
10
00
01
00
11
01
11
10
01
00
00
00
10
00
00
11
10
11
10
10
00
00
10
00
11
10
01
10
00
10
10
01
11
10
00
10
10
10
10
00
01
10
10
10
10
00
10
10
01
10
11
10
10
10
10
00
10
11
00
00
10
01
01
11
00
10
00
00
01
10
11
00
00
11
00
10
10
00
00
10
10
00
00
01
11
11
10
00
00
11
01
11
10
01
00
00
10
10
00
00
01
10
01
10
01
01
00
10
10
00
10
10
00
00
00
10
00
00
01
11
11
11
00
00
10
10
01
00
10
10
00
00
10
01
10
10
01
11
11
00
01
10
10
00
01
00
11
01
00
00
10
11
01
01
00
10
10
10
01
01
10
11
00
00
10
01
01
00
11
10
00
01
00
01
00
00
11
00
01
11
11
00
11
11
00
10
00
10
00
00
00
00
10
11
11
01
10
00
10
00
01
10
01
00
10
10
00
11
10
00
10
10
01
10
00
10
00
00
00
10
00
00
11
00
01
01
00
10
11
11
10
10
01
00
00
01
10
10
01
00
00
01
10
11
10
01
11
10
11
10
10
00
10
00
10
11
00
00
01
10
10
10
11
01
00
10
01
01
10
00
11
10
01
01
11
10
00
01
00
00
11
00
10
01
10
11
10
01
00
10
00
11
10
01
01
10
00
00
01
00
00
10
10
00
11
01
00
11
00
11
11
11
11
00
11
10
10
00
00
01
10
10
11
11
10
11
01
10
01
10
00
01
00
01
10
10
00
10
10
00
11
11
10
10
10
00
00
01
10
11
00
11
10
00
10
10
01
10
10
00
00
10
10
10
00
00
00
11
00
10
10
00
00
10
10
11
11
00
11
01
10
10
10
10
10
10
01
11
01
00
10
00
00
01
11
10
00
10
10
01
10
10
00
10
01
00
11
00
10
00
00
00
11
10
00
11
10
00
00
00
10
00
01
10
10
10
10
01
10
11
11
00
00
00
00
11
11
00
00
00
11
10
10
00
10
10
00
00
00
11
10
10
00
00
01
00
10
10
00
00
00
10
10
10
10
01
10
10
01
10
01
11
00
00
10
10
00
10
10
11
01
10
10
00
11
11
00
11
01
00
10
00
00
10
01
00
10
00
10
00
01
10
10
01
10
00
00
00
10
01
00
10
00
11
00
00
11
00
10
10
00
00
10
10
10
11
00
10
11
10
00
10
01
00
10
00
11
01
00
10
11
11
10
00
00
11
01
10
01
00
11
11
11
11
00
00
10
01
01
10
11
00
00
11
10
00
10
00
00
00
00
01
00
01
11
00
10
10
10
10
10
10
00
10
00
10
10
10
11
00
10
00
11
00
00
00
00
00
11
00
00
10
11
00
00
00
11
11
00
10
11
01
11
11
00
01
11
11
01
00
11
11
10
00
00
11
10
10
10
10
01
10
00
00
00
10
00
10
00
11
01
00
11
11
00
10
11
01
10
00
01
10
01
00
10
10
10
01
01
11
00
10
10
10
01
11
10
01
00
10
11
10
01
10
00
00
10
10
10
11
00
01
00
11
10
11
00
00
01
01
11
00
10
10
10
10
00
11
10
01
11
10
01
11
00
11
10
00
10
10
00
00
10
01
00
11
00
01
00
10
01
00
10
10
10
00
10
10
01
01
01
00
00
11
00
01
10
00
11
00
01
10
00
00
10
10
00
00
01
10
10
10
10
10
10
00
01
01
01
00
11
11
01
10
00
00
11
11
00
10
10
11
01
01
11
00
10
00
01
11
01
01
00
00
11
00
00
00
10
00
10
10
10
00
10
10
10
11
00
00
01
01
11
11
11
11
10
10
10
11
00
00
10
00
00
11
01
11
10
00
11
10
10
00
10
11
10
01
00
11
00
00
00
01
11
11
10
00
11
10
10
00
10
01
01
10
10
11
00
00
11
00
11
10
10
10
01
11
10
10
01
00
01
00
01
01
00
10
10
00
00
01
11
10
11
10
10
10
00
00
11
00
00
10
10
10
00
10
00
00
10
11
00
10
10
11
00
10
01
00
01
10
10
10
00
11
10
00
00
10
10
10
10
00
10
10
10
01
10
01
00
10
10
01
10
10
01
10
10
00
00
01
00
01
11
01
00
01
01
10
10
01
00
11
00
00
10
00
01
10
10
11
00
10
10
10
10
01
01
11
11
00
01
01
10
10
10
00
00
01
00
11
11
00
11
00
00
11
10
11
01
01
11
10
01
11
10
00
10
10
10
01
00
01
10
10
11
11
11
00
00
10
10
11
10
10
00
01
00
01
10
10
01
00
11
10
00
01
11
11
00
10
11
11
01
00
01
10
00
10
00
00
10
10
00
10
10
10
10
11
00
00
11
01
00
01
00
00
11
11
00
01
01
10
10
10
10
00
11
00
00
11
00
01
00
01
10
11
10
00
01
10
00
00
10
11
10
00
10
01
00
10
01
10
00
01
10
10
11
00
11
10
11
00
00
10
00
10
11
00
00
10
01
10
10
11
00
01
11
10
10
10
10
10
00
00
11
10
11
01
01
00
01
00
11
00
00
00
10
00
01
11
01
01
00
01
10
10
01
11
10
01
01
00
00
10
00
01
00
00
10
10
00
00
10
10
01
10
11
00
10
00
11
01
10
00
11
10
00
10
00
00
00
00
10
10
10
10
10
10
01
00
11
11
00
00
00
00
11
01
01
10
00
01
00
01
10
00
11
00
10
10
00
11
00
10
10
00
11
10
01
01
00
01
00
11
11
00
00
10
00
01
00
00
10
10
01
10
00
10
10
10
00
01
00
01
10
11
00
10
10
10
11
10
11
00
11
00
00
11
10
00
01
00
11
01
00
00
10
00
00
00
10
10
01
00
01
00
00
10
00
11
11
10
00
00
10
10
01
10
10
11
11
01
00
10
01
00
10
01
10
10
01
00
00
10
00
10
00
01
10
11
00
10
10
11
00
01
01
10
00
10
00
01
10
11
01
00
11
00
00
10
10
00
00
00
10
00
10
00
00
00
10
00
01
10
10
00
11
11
00
11
10
01
00
10
11
10
00
01
11
00
11
10
00
00
11
00
00
10
10
00
00
10
00
10
00
10
01
01
11
10
11
11
00
00
11
11
01
00
11
00
10
10
10
00
10
11
00
10
10
11
00
00
10
00
10
00
11
11
00
11
10
10
11
01
00
11
10
00
10
10
00
00
10
11
11
11
10
00
00
10
00
10
10
01
00
10
00
11
01
11
00
00
01
01
10
10
10
00
00
10
00
10
10
00
10
00
00
11
01
00
01
01
00
10
01
00
11
10
11
10
01
01
00
01
10
00
10
10
00
10
00
10
10
00
00
00
00
00
01
01
11
00
01
10
01
11
10
10
01
10
00
00
11
10
10
00
00
11
10
10
00
00
11
11
11
00
00
00
10
10
00
00
11
10
00
01
10
10
00
10
00
00
11
00
11
00
00
10
00
01
00
00
10
10
00
11
01
10
00
11
10
11
10
00
00
00
11
10
10
01
00
00
10
11
11
00
00
00
11
00
10
00
10
11
10
00
00
11
10
01
00
11
00
11
00
10
01
01
00
00
10
00
11
11
10
10
01
10
10
00
00
01
01
01
10
01
00
00
01
10
11
00
10
10
00
01
10
00
01
11
10
10
00
00
11
11
10
00
00
10
10
10
00
10
00
00
10
10
01
01
01
01
10
00
10
10
11
00
00
00
01
00
00
10
11
00
01
00
10
00
00
10
00
10
10
10
01
10
10
10
10
10
00
01
11
11
11
00
00
00
10
10
10
10
10
01
10
01
11
00
01
01
00
11
00
01
00
01
11
01
00
11
11
01
11
00
10
10
10
00
01
10
00
10
11
01
10
10
00
10
01
10
10
00
11
00
01
01
01
01
11
01
01
10
10
10
00
00
11
10
11
00
01
10
01
10
01
00
10
10
00
00
10
11
00
11
10
10
11
11
11
01
10
11
00
10
10
00
00
10
01
10
11
01
00
11
11
00
01
00
11
01
00
11
11
01
10
10
01
10
11
01
01
10
10
01
11
10
10
01
00
01
11
01
00
01
11
11
00
01
10
01
10
10
00
10
00
00
10
10
00
10
10
00
01
10
00
00
10
10
00
00
01
11
10
11
10
01
01
11
10
00
00
10
10
10
10
01
00
00
00
00
01
11
10
00
00
10
10
00
10
10
00
10
11
00
10
00
00
11
00
00
10
01
00
01
00
01
00
00
10
10
01
00
00
00
00
11
10
11
11
11
11
00
01
10
00
01
01
10
11
00
10
11
00
10
10
10
00
00
01
00
01
10
11
00
11
10
00
11
10
00
00
00
11
11
10
01
00
00
00
01
11
10
01
00
10
00
01
01
01
10
10
00
10
11
11
00
00
00
10
11
10
10
01
00
00
01
11
10
10
11
00
00
00
11
10
00
00
00
00
10
01
00
10
10
11
00
11
10
00
11
01
00
00
10
11
10
10
00
01
10
01
11
00
00
10
11
11
10
01
00
11
11
00
00
10
10
01
11
00
00
01
01
11
10
11
00
10
01
01
00
10
10
00
11
11
00
11
10
00
10
11
11
00
00
10
01
11
10
01
01
11
00
10
10
00
00
10
11
01
00
10
00
00
10
10
10
00
10
11
10
00
10
10
01
00
01
10
11
00
00
11
01
01
10
10
01
00
10
10
00
10
10
10
00
01
11
00
11
01
01
01
00
01
00
10
10
10
01
00
01
10
00
00
10
01
00
00
10
10
00
11
01
00
10
00
00
01
10
00
10
10
00
01
00
11
11
01
00
10
10
00
01
01
10
11
00
10
10
00
10
10
11
01
10
10
01
00
00
10
11
10
01
11
00
01
01
10
11
00
10
10
01
10
00
10
10
11
10
00
00
00
10
10
11
11
00
10
10
11
10
00
00
10
01
01
00
00
11
11
00
00
00
10
10
01
10
00
11
10
00
10
00
00
01
10
10
01
00
11
00
01
10
00
00
11
00
10
00
01
10
01
01
00
10
00
10
10
00
10
10
10
01
10
00
00
00
10
00
10
11
00
01
01
00
01
00
10
10
10
01
01
10
11
00
10
00
00
00
00
00
01
11
10
10
10
10
11
01
00
10
01
00
10
10
00
00
00
00
11
10
01
01
10
11
10
01
11
11
00
00
10
11
01
00
11
11
10
11
01
00
01
00
10
11
11
01
10
10
00
10
00
10
10
00
00
10
01
00
00
10
00
10
01
01
10
00
00
00
00
11
10
00
10
00
00
01
11
10
10
00
11
00
00
10
10
11
10
00
01
00
11
10
10
01
00
11
00
10
10
10
10
00
10
10
01
00
01
10
10
01
00
00
11
10
00
10
10
00
10
10
10
00
01
10
10
11
00
00
11
00
10
11
01
00
00
00
10
01
00
10
00
01
10
10
10
00
01
11
11
10
10
00
00
01
10
11
00
10
11
10
10
01
10
10
00
11
01
00
10
10
10
01
01
00
00
01
00
10
00
10
00
00
10
10
10
01
10
01
00
10
11
11
00
01
10
11
00
11
01
01
00
10
10
00
01
10
10
00
11
00
11
00
01
11
00
00
01
01
10
10
10
00
10
00
11
10
00
00
10
10
00
00
00
00
10
00
11
11
00
10
00
11
00
11
11
10
11
10
00
00
10
10
10
00
00
01
10
00
01
01
11
10
01
10
11
00
01
00
10
00
10
11
00
00
00
10
01
10
01
10
10
10
00
11
10
10
00
10
00
00
11
10
00
10
01
10
10
00
11
00
10
11
00
10
01
10
00
00
10
10
10
00
00
11
10
01
10
10
10
10
11
00
00
11
00
10
10
11
00
01
11
01
10
10
00
10
11
00
11
10
00
00
10
00
10
10
11
00
10
00
01
00
01
10
11
11
00
11
01
00
11
10
00
00
00
10
10
00
11
10
01
11
00
00
00
10
10
11
10
00
11
00
00
00
11
10
01
10
11
10
00
00
00
11
10
11
00
00
11
00
10
10
00
01
11
10
00
01
11
10
00
00
00
11
10
01
11
10
01
01
00
00
00
00
11
11
00
11
11
10
11
10
00
00
10
10
00
01
11
10
10
10
10
10
00
10
00
11
10
00
10
00
00
01
10
01
10
00
11
10
10
11
10
10
11
10
01
01
00
01
11
00
11
11
01
10
00
11
10
00
10
01
01
11
10
10
00
11
10
00
00
10
00
01
01
01
10
10
10
00
01
00
00
11
11
11
00
01
00
01
11
00
01
10
10
11
00
00
11
01
10
11
11
10
00
00
10
11
10
10
00
00
10
01
10
01
00
01
01
01
00
10
11
01
10
01
10
10
10
00
10
01
00
10
10
00
01
10
00
00
10
10
00
10
00
11
00
00
10
00
00
10
00
01
00
11
11
10
10
01
00
01
11
10
01
00
11
00
00
10
00
10
10
10
00
01
11
10
01
10
10
01
10
00
11
11
10
10
10
01
10
10
11
10
01
11
01
00
00
10
00
10
10
00
00
10
11
10
11
10
11
00
10
10
11
00
00
01
10
00
11
00
00
10
00
10
00
11
10
00
11
10
01
00
10
00
00
10
10
10
00
10
10
01
00
10
00
11
11
01
10
10
01
11
10
00
00
01
11
00
10
10
00
00
10
10
01
11
10
01
10
01
00
10
11
01
00
00
10
10
10
10
10
00
10
10
00
11
11
10
10
01
11
11
00
01
11
00
10
10
10
00
00
11
11
00
10
10
00
11
11
10
00
11
10
10
10
11
00
00
00
00
01
11
11
00
00
11
00
10
11
10
01
00
10
00
01
10
10
00
00
11
10
10
10
00
00
11
11
10
00
10
01
10
00
00
00
01
11
00
00
10
10
00
10
10
11
10
00
00
01
10
01
11
10
10
10
10
11
10
00
10
11
10
00
10
11
01
00
11
00
10
01
10
00
00
10
11
01
00
10
11
00
11
01
00
10
00
01
00
10
10
10
11
00
00
10
00
10
10
10
00
01
10
10
00
10
10
11
11
10
01
11
10
10
00
00
00
00
10
11
00
10
10
01
10
01
10
01
00
11
00
11
01
00
00
01
10
10
00
10
11
10
10
01
01
10
00
00
10
00
01
11
01
01
10
10
11
11
10
00
00
00
00
00
10
11
01
00
11
00
10
01
00
10
10
00
00
00
10
01
00
00
10
11
01
11
00
11
10
10
00
00
00
10
01
00
11
00
00
01
10
01
10
11
10
00
10
01
01
10
10
11
10
00
10
10
00
10
10
00
01
10
11
10
00
00
01
00
10
10
00
00
10
10
10
11
00
00
10
00
10
11
10
10
01
00
10
10
10
00
00
01
10
10
00
11
10
10
11
10
10
10
00
10
11
00
10
00
10
10
01
11
00
00
10
10
00
00
01
11
00
01
01
01
10
11
11
00
00
11
00
01
10
10
00
00
01
01
00
11
01
01
10
01
01
11
00
01
01
11
00
10
01
00
01
11
11
00
10
11
01
10
10
00
00
11
11
10
10
00
10
11
00
11
11
00
00
00
00
00
10
10
10
01
01
11
11
11
10
00
11
10
00
00
11
10
00
00
00
11
10
00
00
01
00
10
10
00
10
10
01
00
10
11
11
01
11
01
00
00
10
10
10
00
01
11
10
00
00
00
11
10
00
01
10
10
00
10
00
00
00
10
00
10
10
11
00
00
01
00
01
10
10
00
00
10
10
00
01
00
00
11
10
10
10
00
01
11
10
10
10
01
11
01
01
11
10
00
01
00
01
00
10
10
00
00
11
10
00
00
11
00
01
00
00
10
10
10
10
11
00
00
10
01
10
11
00
00
00
10
00
10
10
00
01
00
10
00
00
10
01
10
00
00
01
10
10
01
11
10
01
00
01
11
00
00
10
11
00
00
11
11
00
11
01
10
10
10
00
10
00
00
10
10
00
00
10
10
00
01
10
10
11
01
00
01
10
01
00
00
01
10
10
00
10
10
10
01
10
11
00
00
10
00
10
00
00
10
10
01
01
11
00
00
10
11
11
00
00
01
11
11
10
10
00
01
01
10
10
11
10
00
11
00
11
10
00
10
00
00
01
11
01
00
10
01
00
10
01
11
10
00
00
00
01
10
10
11
10
00
11
00
00
10
00
10
10
00
10
01
10
10
00
00
00
01
00
10
10
01
00
00
10
01
10
00
00
01
00
11
10
11
00
01
10
10
10
00
00
11
11
00
10
11
10
00
10
10
01
00
11
00
01
10
00
10
00
00
11
01
00
11
11
00
00
10
10
00
00
10
00
11
00
01
11
10
00
11
11
10
00
00
00
00
10
00
10
11
10
11
00
10
01
10
00
00
01
00
00
11
10
01
10
11
01
11
11
00
10
10
10
00
10
10
01
00
10
00
10
10
10
00
00
11
10
11
00
00
10
10
00
01
10
10
10
10
10
00
01
11
10
10
00
11
00
00
10
00
10
11
10
00
10
11
00
10
00
01
11
10
00
10
10
00
11
11
11
01
00
00
00
11
10
00
00
10
00
10
00
11
00
10
00
00
10
00
00
00
11
11
10
10
00
10
00
00
01
11
10
00
00
00
01
10
00
01
00
01
10
11
10
10
00
11
00
01
00
10
00
01
00
00
10
10
11
10
00
00
10
00
01
00
10
10
10
11
10
10
10
10
00
11
10
00
00
01
11
11
10
00
01
10
00
11
11
00
00
10
01
00
00
10
01
00
10
00
11
01
01
00
01
00
10
10
11
01
01
10
10
00
11
01
01
00
10
01
01
01
11
11
01
00
01
10
10
00
00
10
10
00
00
10
10
00
00
01
00
10
10
10
11
00
00
01
00
10
10
00
01
00
11
11
00
00
01
00
01
00
00
10
11
10
10
10
11
00
11
00
10
11
10
00
01
00
10
10
00
01
00
11
10
10
00
00
11
10
00
00
10
11
10
00
10
00
01
11
01
00
10
11
01
00
11
01
00
00
11
10
11
01
10
00
00
10
01
10
10
00
11
11
10
10
01
00
11
10
10
10
01
11
00
00
01
01
01
10
00
01
10
11
00
11
10
11
00
01
10
11
11
01
00
10
10
10
10
01
10
11
00
00
00
00
11
11
10
00
00
10
01
11
10
10
10
11
10
00
00
00
11
10
01
00
11
10
11
00
01
01
10
10
11
10
00
00
10
10
00
00
11
00
01
00
00
11
11
11
10
00
00
01
00
10
10
00
11
10
01
11
10
10
10
11
00
10
10
11
10
11
11
00
11
01
01
10
00
01
10
00
10
00
00
10
10
01
10
10
00
10
10
10
00
11
00
10
00
00
00
11
10
10
10
10
00
10
00
10
00
01
00
10
00
00
10
00
01
10
11
10
00
00
11
00
10
11
00
10
11
10
00
10
01
00
11
11
11
00
00
00
10
10
00
10
10
01
10
01
11
00
01
01
01
10
10
00
10
00
00
10
10
01
10
11
01
00
00
11
10
01
10
10
00
00
11
10
00
10
10
00
10
10
01
01
11
00
00
01
10
10
10
00
01
00
10
11
11
10
11
00
01
00
10
10
11
00
00
10
10
00
00
11
10
00
10
00
00
11
00
10
11
10
00
01
10
10
11
10
00
11
00
10
00
00
11
10
01
10
11
10
10
01
10
01
01
00
11
00
10
01
00
10
01
10
01
01
10
11
11
11
10
11
01
00
10
10
10
10
11
00
01
10
10
01
10
10
00
00
00
01
10
11
00
00
00
10
10
11
10
01
10
10
10
01
00
01
10
11
01
10
00
00
10
11
00
01
01
11
00
10
01
10
10
00
10
10
01
11
11
01
11
10
10
10
01
00
10
10
00
01
10
01
10
10
10
11
00
10
10
11
00
01
10
00
10
10
11
10
11
00
10
00
10
00
00
00
11
10
10
00
00
00
10
00
00
01
10
01
11
10
01
00
01
00
00
10
10
10
00
10
10
01
10
11
10
11
01
01
00
10
10
00
11
01
10
11
11
00
10
10
00
11
00
01
10
00
00
01
00
00
10
10
10
00
11
10
10
10
10
11
00
11
00
10
00
00
00
10
00
01
01
11
10
11
10
10
10
00
00
10
10
00
11
10
00
10
10
00
10
01
01
00
00
10
00
10
01
00
10
10
01
10
10
10
00
01
10
10
00
10
00
11
01
11
01
00
10
11
11
01
00
00
10
11
01
01
10
10
01
10
00
10
00
01
10
11
00
01
10
01
10
00
10
00
01
00
10
11
00
00
01
00
00
10
00
01
00
00
10
00
10
00
10
10
10
11
00
00
10
10
11
00
10
00
01
00
00
01
10
10
00
00
01
10
10
11
00
11
00
10
11
01
00
10
00
00
11
00
11
00
01
00
10
01
10
11
10
00
00
10
11
10
01
00
00
00
11
11
10
10
00
00
00
10
11
01
10
00
01
01
11
01
00
00
00
10
00
10
11
10
00
00
00
10
00
00
10
00
00
10
11
01
10
01
00
10
00
10
10
01
10
10
00
00
10
11
01
00
01
10
00
11
10
11
00
10
11
10
00
11
00
01
01
01
10
00
00
01
01
10
10
10
00
10
01
01
00
10
00
00
11
01
10
00
00
00
10
10
01
10
11
00
10
10
11
01
00
00
10
11
00
00
10
10
11
01
00
11
10
11
10
00
01
01
10
10
10
10
10
00
00
10
11
11
11
11
00
01
11
10
00
01
00
10
10
00
10
01
10
11
11
11
10
00
11
10
10
00
10
10
00
00
11
10
01
10
00
11
00
00
01
11
10
10
01
00
00
00
11
10
11
00
01
00
10
01
00
11
10
01
10
10
00
10
00
01
01
01
10
00
00
10
10
10
01
00
00
10
00
00
01
01
01
10
10
10
10
00
10
01
01
10
11
00
10
10
10
00
10
00
00
00
10
01
01
10
10
00
10
10
10
10
00
00
00
00
00
00
11
11
11
10
00
01
00
00
10
10
00
00
10
11
00
00
01
10
10
00
01
10
11
00
11
10
01
01
00
00
10
10
00
10
00
00
11
00
10
11
10
00
01
10
10
10
11
10
01
10
01
00
10
00
00
01
10
11
00
10
10
11
00
01
11
00
01
10
00
01
00
10
00
10
00
11
01
01
01
10
10
11
10
10
00
00
10
10
11
00
00
10
00
11
10
00
01
00
00
11
00
01
11
11
10
00
11
00
10
10
00
00
00
11
10
10
00
11
10
00
00
01
00
01
11
11
10
00
00
11
00
00
10
10
00
11
01
00
10
11
11
10
11
00
00
10
10
01
00
01
10
10
00
11
10
01
11
00
10
10
00
10
10
01
01
01
10
00
00
11
10
10
01
01
11
00
10
01
10
10
01
10
11
01
00
00
01
10
11
10
01
01
10
10
00
10
11
10
00
00
01
10
10
00
00
01
00
00
10
00
01
11
10
00
10
10
00
00
00
10
10
00
10
00
01
10
10
10
00
01
00
10
11
10
00
11
10
01
11
11
11
10
00
01
00
01
10
10
11
01
00
10
00
11
00
00
11
01
01
10
10
00
10
11
00
10
10
00
10
01
10
11
11
10
10
00
00
10
11
10
10
01
01
00
11
10
00
10
10
01
01
00
11
00
11
01
01
10
00
00
00
00
11
10
10
00
11
00
00
01
10
11
10
10
10
10
01
11
00
01
10
00
10
11
10
11
11
00
10
10
10
00
01
00
00
10
10
11
00
01
10
11
00
00
10
00
00
01
10
10
00
01
00
01
11
10
00
00
10
10
11
10
00
00
01
10
01
00
11
10
00
10
10
00
00
00
00
01
01
10
00
00
00
10
10
10
10
00
01
00
10
10
11
01
00
00
00
10
00
00
10
10
10
01
01
00
10
10
00
11
10
01
01
10
10
01
00
00
10
10
10
10
00
00
00
10
00
10
10
00
00
10
11
10
01
01
11
11
11
01
00
10
10
10
00
00
10
11
01
00
00
11
10
10
11
00
00
00
10
10
11
10
10
10
00
00
00
10
10
00
01
10
00
11
00
00
10
00
00
11
00
10
00
10
11
10
00
01
00
10
10
00
00
11
11
01
00
11
10
10
10
00
00
11
01
01
01
11
10
00
00
10
10
11
00
00
11
00
10
10
00
01
10
00
01
10
10
10
10
00
11
10
00
11
11
10
00
00
10
00
10
01
11
01
11
10
01
10
10
11
00
11
10
01
00
01
01
00
10
10
00
11
10
00
10
11
10
11
10
10
01
00
00
10
10
10
01
00
10
10
00
00
10
11
00
01
10
11
10
10
01
11
11
00
01
11
10
00
00
10
11
10
00
00
11
10
10
10
00
00
00
11
11
00
01
10
01
01
01
01
10
11
11
00
00
10
00
01
11
10
10
10
01
00
00
00
10
10
11
11
00
10
11
01
10
10
01
10
11
11
10
01
11
00
10
01
00
01
00
11
10
00
11
10
10
10
11
00
00
10
00
00
10
00
10
10
00
00
00
10
11
00
01
11
11
00
00
00
11
10
10
00
00
00
10
10
00
10
10
11
10
00
11
01
00
10
10
00
01
10
10
00
00
00
10
10
00
00
00
11
10
11
10
00
10
11
11
11
11
01
00
10
00
10
10
11
00
10
00
00
00
00
00
00
10
10
11
10
11
00
10
11
00
10
10
10
10
01
00
01
00
00
10
11
10
01
01
11
00
00
10
00
00
11
01
00
11
11
11
10
10
10
00
01
00
10
00
10
10
00
00
10
10
11
11
01
00
00
00
10
10
00
10
10
01
00
01
11
10
10
10
10
00
10
00
10
10
11
11
10
00
01
10
00
00
11
10
00
01
00
01
00
10
10
00
10
10
10
00
00
01
10
10
10
00
00
01
10
00
10
11
00
01
01
11
10
00
11
00
11
10
10
00
10
01
00
00
00
10
11
01
10
11
11
00
10
11
00
10
00
00
10
11
10
00
10
10
00
00
00
01
10
01
00
11
11
01
00
11
10
01
01
10
00
00
00
11
11
00
00
01
10
10
10
10
00
10
10
10
10
00
00
00
00
01
01
11
00
00
00
00
10
11
11
10
01
11
11
11
01
10
00
00
00
01
00
00
10
10
00
10
10
10
00
10
01
10
01
01
11
10
01
11
11
00
00
01
10
10
00
01
10
11
01
10
10
11
10
00
00
11
00
00
11
11
01
10
10
01
10
01
00
10
11
00
01
10
11
11
10
10
10
01
00
10
10
01
00
10
01
10
11
01
10
10
01
00
11
00
10
00
00
10
10
10
01
11
10
00
00
10
00
01
10
00
00
10
10
10
01
01
11
10
10
01
00
10
11
10
01
00
10
10
10
01
10
11
11
11
11
10
10
01
10
11
00
01
10
10
01
10
10
00
00
10
01
11
10
01
00
11
10
10
11
00
01
10
00
01
01
01
01
01
10
10
00
10
11
00
00
10
11
01
00
01
01
10
01
00
10
11
10
01
00
11
10
00
10
10
11
00
00
11
00
01
11
00
11
11
10
10
10
00
00
11
10
01
11
10
01
00
01
10
10
10
00
00
10
10
00
10
00
10
01
10
11
11
00
00
10
10
00
00
11
10
00
00
00
00
00
00
11
11
00
00
10
10
11
00
01
11
00
00
00
00
10
11
00
10
11
10
10
10
10
00
10
00
00
00
10
10
00
00
10
10
00
00
10
10
10
11
01
10
00
10
01
01
10
00
01
10
01
10
10
00
01
10
11
11
01
01
11
10
01
10
10
00
00
11
00
10
10
00
00
11
10
00
00
10
10
00
00
11
11
00
11
10
00
10
11
00
00
01
11
11
00
10
10
10
10
00
01
10
00
10
11
00
10
01
00
00
11
00
01
00
00
00
00
00
10
10
01
00
10
10
10
01
00
11
10
10
00
10
00
00
00
10
01
10
10
00
11
01
00
10
10
10
00
11
10
11
00
10
01
11
11
11
00
00
00
10
10
01
00
10
10
01
01
10
10
00
11
10
10
01
00
11
10
10
11
01
10
11
00
11
10
00
01
11
10
00
00
01
00
00
10
10
00
01
10
11
11
01
01
11
10
00
00
10
11
00
10
10
00
00
11
10
01
00
01
01
00
10
00
01
10
00
00
10
11
01
11
00
00
10
10
00
10
11
00
01
10
10
10
01
01
00
00
10
00
00
00
11
00
01
10
10
10
11
10
10
10
00
01
00
11
10
01
11
10
00
00
10
01
11
00
00
10
11
00
11
10
00
00
11
10
01
10
10
01
00
00
01
00
10
11
00
00
00
10
10
10
00
01
00
11
10
00
01
11
11
00
00
00
10
11
10
01
00
00
10
00
10
10
00
00
00
10
00
11
10
11
10
01
10
10
10
01
00
10
00
00
10
00
11
00
10
00
10
10
01
00
10
00
10
01
10
00
10
00
00
10
10
11
11
00
00
00
11
00
11
10
00
01
00
00
10
11
01
10
10
00
00
10
10
10
01
00
10
11
10
01
10
01
00
00
10
11
10
00
10
01
00
10
00
10
01
00
10
10
10
10
01
00
01
10
01
00
01
10
01
00
11
10
00
11
00
10
10
01
00
00
10
11
10
00
01
00
01
10
10
11
00
00
00
00
10
00
10
00
11
10
01
01
11
00
00
01
10
10
00
10
10
00
01
10
10
01
11
10
11
00
10
00
00
00
10
11
00
00
00
01
10
11
01
11
10
00
01
10
10
01
00
11
01
00
01
10
10
00
00
10
01
00
10
01
00
01
00
01
10
10
00
00
00
00
11
10
01
10
10
01
11
10
00
11
11
01
10
11
00
01
00
11
00
00
10
10
11
00
11
10
00
00
11
10
01
00
10
01
00
10
10
10
01
10
00
00
11
00
10
00
00
01
10
10
00
01
11
01
11
00
00
00
10
11
10
01
00
01
10
00
00
10
11
11
10
01
00
10
10
00
00
10
10
00
10
01
01
10
11
10
11
00
10
10
11
00
10
00
01
10
10
00
11
11
00
00
00
10
11
00
01
10
01
10
10
10
00
10
11
11
01
00
10
00
00
10
10
10
00
10
11
11
11
10
10
10
11
10
00
00
11
01
10
11
00
10
11
00
01
01
10
11
10
00
01
01
10
01
11
11
11
00
10
10
00
11
00
00
11
11
11
00
10
10
00
11
10
00
00
00
10
00
00
11
10
01
00
10
00
10
00
00
11
00
00
11
10
01
00
10
00
10
10
00
01
10
11
11
00
10
00
10
01
00
10
00
10
10
11
00
01
00
11
10
10
00
10
11
01
10
00
01
10
10
00
00
10
10
00
10
00
11
11
10
01
00
11
01
00
00
01
10
11
00
01
10
10
10
11
11
10
00
10
10
00
00
10
01
00
00
01
10
10
10
00
11
11
00
00
01
00
10
10
11
11
00
11
10
10
00
00
01
01
10
10
10
00
01
00
10
10
01
00
10
10
00
00
01
00
11
00
00
11
10
00
00
01
10
10
00
10
10
00
01
10
00
00
10
10
10
00
10
10
10
10
01
11
01
11
10
00
10
10
00
00
10
00
00
01
00
10
10
10
01
00
00
10
00
00
10
11
00
01
10
00
10
11
10
01
00
10
10
00
01
00
10
11
10
11
10
11
01
10
00
01
01
10
11
00
10
10
00
10
01
00
01
11
00
11
10
01
11
00
01
10
10
01
00
10
10
00
00
11
01
00
10
10
00
01
00
10
10
00
00
00
10
00
00
10
00
10
11
01
00
11
00
00
00
10
10
10
01
01
10
10
11
10
00
00
00
10
01
00
11
10
01
10
10
00
10
00
10
00
01
00
00
10
00
00
11
01
10
11
01
01
10
00
10
11
01
00
10
00
11
10
10
11
01
00
11
01
01
10
00
00
00
10
01
11
10
00
01
01
10
10
10
00
01
10
11
10
00
11
10
00
00
10
00
01
10
11
00
10
10
00
00
11
00
00
10
01
00
10
11
01
10
10
10
01
00
01
00
00
10
10
10
11
00
00
00
00
01
00
01
10
10
00
11
10
11
11
01
10
11
01
11
00
10
00
00
00
01
11
10
01
00
00
01
11
00
10
10
00
00
01
10
10
10
00
00
10
10
00
01
01
10
10
01
00
10
00
10
10
00
00
11
10
01
01
01
11
00
11
10
10
01
00
10
11
10
01
10
00
00
00
00
10
11
00
01
11
10
00
10
10
10
00
10
11
11
00
00
10
11
01
10
00
01
10
10
10
10
00
10
01
01
10
10
10
10
00
00
10
00
00
11
10
00
00
11
10
00
00
00
01
10
01
01
00
11
01
00
00
11
11
10
01
00
10
10
10
00
00
11
10
11
10
10
00
10
00
10
10
01
10
11
00
01
11
11
01
10
10
01
10
10
00
00
00
01
10
11
00
10
11
01
11
00
10
10
11
00
00
00
11
10
11
01
01
00
10
10
10
10
00
10
10
00
00
11
01
00
00
11
00
01
10
00
10
11
10
10
00
10
00
00
01
00
01
10
10
00
10
10
00
00
10
10
00
00
11
10
01
11
01
10
00
10
10
01
00
01
10
11
10
11
10
01
00
11
10
00
00
01
11
11
00
10
11
00
11
10
01
00
00
10
10
00
10
10
00
00
10
10
10
10
11
00
00
10
00
11
01
10
00
00
00
10
00
00
10
00
10
10
10
10
01
10
01
00
11
11
00
10
00
10
10
01
01
11
10
10
10
10
00
01
10
00
00
00
10
01
00
10
01
10
11
10
01
01
00
10
00
10
11
11
01
10
01
00
00
11
10
00
11
00
10
11
01
11
10
00
10
10
11
00
01
10
11
01
00
10
00
00
11
00
10
01
00
00
10
10
10
00
10
10
00
00
11
10
00
00
10
00
10
01
00
10
10
00
10
11
10
11
00
00
01
01
10
10
00
00
01
00
11
11
10
01
00
11
01
10
10
01
00
10
10
00
01
01
10
00
00
10
00
01
10
11
11
00
10
10
00
10
10
00
10
00
11
10
11
10
01
10
10
00
00
10
10
01
10
10
10
11
10
00
01
11
10
01
10
01
01
10
00
01
00
10
11
10
10
00
11
00
01
00
00
00
10
10
10
10
01
00
00
11
10
10
00
00
11
10
01
00
00
00
10
10
00
10
10
10
00
00
10
00
10
00
10
11
00
01
10
10
11
10
00
00
00
10
11
10
00
10
10
10
11
00
11
10
00
00
10
00
01
01
10
10
01
11
10
10
11
00
00
10
11
01
00
10
10
00
01
00
00
10
11
11
10
00
00
01
10
10
00
11
11
00
00
00
01
00
10
11
00
00
11
10
10
10
00
00
01
00
10
10
10
11
10
11
10
00
01
00
11
11
10
11
00
00
11
01
10
01
10
10
01
11
10
00
00
10
01
10
10
01
10
00
00
10
01
10
10
11
11
10
00
01
01
00
11
00
01
10
00
10
00
01
10
01
10
00
10
11
00
10
10
01
11
10
00
01
00
01
10
10
00
10
10
00
00
10
11
10
00
00
10
10
10
10
01
10
10
00
11
11
11
11
11
01
00
00
10
00
01
10
10
00
00
01
00
01
10
10
01
00
01
10
11
01
10
11
00
00
10
01
00
10
10
00
00
10
00
00
10
10
10
10
00
00
00
01
00
10
01
00
11
10
11
11
00
10
11
10
00
00
01
01
11
11
00
10
11
00
11
11
00
01
00
10
00
00
11
10
00
10
11
00
10
00
00
00
00
10
10
00
11
00
10
11
00
11
00
00
10
11
00
00
10
10
10
01
11
00
10
11
11
11
10
10
10
00
01
00
11
01
10
11
11
01
10
00
00
10
11
11
00
00
10
01
01
01
10
10
10
00
00
00
11
10
01
11
00
00
00
00
10
01
01
11
00
00
11
10
00
01
00
10
01
00
10
00
01
10
11
10
11
10
10
00
01
10
00
11
11
10
00
10
10
00
10
10
01
00
00
11
10
01
11
01
00
00
00
10
10
00
01
11
10
00
00
00
00
11
00
01
10
10
00
11
00
00
10
10
10
00
01
10
01
00
11
10
00
00
01
10
10
01
10
00
01
11
00
10
10
10
10
00
01
10
10
01
10
10
00
10
10
00
01
10
00
00
10
00
10
10
00
01
11
01
11
10
00
10
00
11
00
01
11
10
10
01
00
10
01
00
11
11
10
01
00
10
00
00
11
00
10
10
00
10
11
10
00
10
11
10
10
00
10
10
10
10
01
00
10
00
01
10
00
11
00
01
10
00
00
10
01
10
11
00
00
10
00
00
00
11
10
11
00
10
10
10
11
00
01
10
10
10
10
11
00
10
10
00
00
00
00
11
00
00
00
10
10
00
11
11
01
11
00
00
01
00
10
10
00
00
10
10
00
10
00
01
00
01
11
10
10
11
01
01
01
10
00
10
10
01
11
10
00
00
11
10
10
10
10
10
00
00
10
10
11
11
00
01
00
01
00
01
01
10
10
00
01
10
10
00
10
10
01
00
11
00
00
10
00
11
11
00
00
10
10
00
00
00
10
01
01
10
00
00
00
01
10
10
01
10
11
01
00
11
11
00
11
10
00
11
10
00
10
10
00
01
10
00
00
10
01
11
10
01
11
10
00
10
00
01
10
10
10
11
10
10
10
00
11
10
11
00
01
10
01
10
10
01
00
00
10
10
01
00
00
10
00
11
10
00
00
11
10
01
01
01
01
00
00
00
01
10
10
01
01
10
10
10
01
00
01
10
10
00
00
11
00
00
11
10
10
01
00
10
10
10
10
01
10
10
10
00
10
00
00
10
11
00
10
11
00
10
11
01
01
01
11
11
10
10
01
00
11
10
01
00
10
11
10
11
00
00
00
00
01
00
01
11
00
11
10
01
10
10
00
11
00
01
00
10
01
11
00
00
00
00
10
10
01
10
11
11
00
00
10
00
11
00
01
10
10
01
10
10
01
00
10
10
10
00
11
11
00
01
11
10
00
00
01
00
10
11
11
00
11
00
00
00
01
11
10
00
10
10
00
00
00
10
10
10
00
01
00
10
00
01
10
11
00
00
11
10
00
00
00
01
11
11
11
11
10
00
10
00
01
10
10
00
00
11
11
11
00
11
10
10
00
01
11
11
00
00
11
10
01
01
10
11
00
10
00
00
10
00
01
00
00
10
10
01
10
01
00
10
10
00
10
10
10
01
01
00
10
00
10
10
11
10
00
00
00
00
10
10
10
10
00
11
01
01
01
10
10
00
01
10
11
00
01
00
00
11
00
00
10
10
10
10
10
01
01
11
11
10
00
11
10
00
00
10
10
10
00
00
01
00
10
00
00
00
11
10
10
00
10
11
10
01
00
10
10
10
10
00
01
10
11
01
11
01
00
10
01
10
10
00
00
11
10
01
10
01
00
10
10
00
00
01
01
11
10
10
00
00
10
11
10
10
00
10
10
10
01
00
01
10
10
01
10
00
00
10
10
00
00
01
10
10
00
00
10
10
11
10
01
10
00
00
10
01
00
10
10
10
00
10
11
00
10
00
11
10
00
00
11
00
00
00
00
00
00
11
11
01
00
01
00
10
00
01
00
10
10
10
11
00
00
01
10
10
01
11
00
10
00
10
00
00
10
00
01
10
10
00
01
00
11
00
10
11
10
00
00
11
01
10
10
00
10
00
10
11
00
00
10
11
11
11
00
00
00
00
01
10
00
00
10
01
00
01
10
11
11
11
11
11
01
00
01
10
01
00
11
10
01
10
10
01
00
00
11
01
01
10
11
00
10
10
00
00
00
11
10
11
10
10
00
01
00
00
10
01
10
00
11
10
00
10
11
00
10
00
00
10
11
10
10
00
01
00
00
00
11
01
11
00
00
10
10
01
01
11
10
10
10
10
00
00
00
11
01
10
00
00
10
11
10
11
01
00
00
01
00
10
11
00
11
10
10
01
10
10
00
10
11
01
10
01
10
10
00
10
10
10
10
00
11
00
10
01
01
01
00
00
11
10
10
10
10
01
11
11
00
00
00
10
10
00
10
11
00
10
11
01
00
00
10
10
01
00
10
00
00
11
11
00
01
11
00
00
10
10
00
00
10
00
00
10
10
10
10
00
00
10
00
10
00
10
10
00
01
11
10
01
10
01
00
10
11
00
00
01
00
11
10
00
01
00
00
00
11
11
00
00
11
10
01
10
11
00
00
11
00
00
11
10
00
00
11
10
00
10
10
00
00
10
00
01
10
10
10
00
00
00
00
00
10
01
10
10
10
11
00
00
11
11
10
10
00
10
00
11
00
01
01
10
00
11
10
11
11
10
01
00
01
00
11
10
01
01
11
00
10
11
00
10
10
00
10
10
01
00
10
10
01
10
00
00
11
00
00
11
10
00
10
10
11
01
10
01
10
01
00
01
10
10
00
00
00
11
00
00
11
00
10
10
11
10
10
00
10
11
10
10
00
11
00
11
10
00
10
10
10
11
00
00
10
10
10
00
10
10
00
00
00
10
10
00
10
00
10
00
10
11
00
00
00
11
10
11
11
10
11
00
11
10
11
00
10
00
01
11
00
10
10
11
10
00
00
11
01
11
00
00
00
01
10
10
01
00
11
00
00
10
11
00
00
10
11
00
11
10
01
00
01
01
00
10
10
01
00
10
10
10
00
10
01
01
10
11
10
11
00
01
00
11
10
10
10
01
01
00
11
11
10
01
10
00
01
00
10
01
00
10
11
00
01
00
00
10
10
01
00
10
11
10
11
00
10
00
01
01
00
00
10
00
01
11
00
10
10
11
00
10
11
00
11
10
10
00
00
00
10
10
00
11
00
10
01
00
01
00
10
00
01
10
11
01
00
01
01
11
00
00
11
11
11
01
00
00
00
10
11
11
00
00
10
11
11
00
10
01
01
10
01
01
00
11
11
00
10
01
00
11
10
10
00
10
10
00
10
10
10
01
00
00
11
00
00
00
01
01
00
11
11
00
00
10
10
11
10
00
01
10
10
11
00
01
01
11
01
10
10
10
00
01
10
11
00
01
00
00
00
11
10
00
01
10
10
00
10
11
10
01
10
00
11
00
11
10
00
00
10
10
00
00
10
00
01
10
00
01
11
10
00
01
11
01
11
00
00
01
10
00
11
00
00
11
00
11
10
00
00
10
11
10
10
10
01
00
00
00
10
11
01
00
10
10
00
10
00
11
01
00
11
00
00
01
00
00
11
11
00
10
00
10
10
01
01
00
10
10
10
00
11
11
01
00
00
11
10
00
00
10
00
00
01
10
10
11
00
00
01
10
10
10
00
00
00
11
10
00
00
10
10
10
11
00
11
01
00
11
00
10
10
01
01
00
10
10
10
00
00
00
11
10
01
00
11
10
11
00
00
00
10
11
00
11
10
00
00
11
11
10
00
01
10
11
10
10
00
00
10
11
11
00
01
11
00
01
10
01
00
00
10
10
00
00
10
00
11
10
00
11
10
10
00
10
01
01
10
10
00
00
00
00
10
00
00
01
11
11
00
00
00
10
01
10
00
00
10
00
10
01
00
00
01
11
01
00
01
11
10
10
11
00
00
10
00
11
11
10
00
01
10
00
10
10
00
11
10
00
10
11
01
00
01
00
11
00
00
10
10
01
00
11
10
10
01
00
10
10
10
00
11
11
11
11
11
01
10
10
01
01
00
11
10
00
00
11
00
10
10
11
00
01
10
01
00
11
10
10
10
01
01
10
00
01
10
11
00
10
00
11
11
01
10
00
00
01
10
11
00
01
10
01
11
10
11
00
00
10
10
01
00
00
10
00
00
10
00
00
00
10
00
00
10
01
10
11
10
00
00
10
10
10
10
10
00
01
11
10
11
00
10
10
10
10
00
00
01
01
00
10
11
10
00
01
00
11
00
10
10
11
10
10
11
00
00
11
10
00
01
11
01
10
00
00
01
11
10
00
01
00
10
00
10
11
10
00
00
10
10
00
10
11
00
01
00
00
00
10
01
01
00
10
00
11
10
00
10
00
00
10
00
00
01
10
01
10
00
10
01
01
00
00
10
10
10
01
01
10
00
01
11
00
00
01
10
10
10
01
00
10
00
10
10
01
11
11
11
00
10
01
00
00
00
11
00
00
00
10
11
01
00
00
00
01
10
10
00
01
11
11
10
10
00
10
00
00
10
10
00
01
10
01
11
01
10
01
11
10
00
00
01
10
00
10
00
10
10
10
01
10
10
01
10
01
00
00
01
10
10
00
01
10
11
01
11
10
00
11
10
00
00
01
10
00
11
00
00
00
00
10
11
10
00
11
00
11
00
01
01
01
11
11
10
00
10
11
00
10
10
01
10
01
10
00
10
00
10
00
10
11
00
11
00
11
11
01
00
10
00
01
10
00
01
00
00
10
10
10
00
01
10
01
01
10
00
00
10
10
00
00
10
10
10
10
00
11
00
01
00
00
00
00
01
10
11
01
00
11
10
10
10
10
00
10
10
00
00
01
00
10
00
10
11
00
00
11
10
00
01
11
11
00
11
10
10
11
10
00
10
10
01
00
01
10
01
00
01
00
01
11
10
11
01
00
00
10
10
10
00
00
00
00
10
01
10
10
10
11
10
00
00
00
10
00
01
11
00
11
10
00
10
00
10
11
01
01
01
01
00
10
11
00
00
10
10
00
00
11
10
11
01
11
00
01
00
11
11
10
01
01
10
10
01
00
10
11
00
00
11
11
01
00
00
01
00
10
00
10
10
01
01
11
11
01
00
01
00
00
11
11
00
00
01
10
01
00
10
01
10
01
10
00
00
10
01
01
00
11
00
10
11
00
00
10
11
00
01
01
10
00
01
00
00
10
11
11
11
00
00
10
00
10
11
01
10
10
00
00
00
00
11
01
00
10
00
10
10
11
10
00
00
00
10
01
10
01
01
10
00
00
10
10
00
10
00
01
10
10
10
10
00
00
00
10
00
00
10
11
10
00
00
11
10
11
00
00
01
11
10
10
01
00
01
01
10
01
10
10
01
11
10
10
10
10
10
00
11
00
00
10
10
00
10
11
00
00
10
00
00
11
10
11
10
01
00
11
10
00
00
11
00
11
00
00
10
11
10
11
11
01
11
11
00
00
10
10
10
00
00
10
00
00
10
10
11
00
10
10
11
10
10
11
00
00
10
10
01
00
10
11
00
10
10
10
00
00
10
10
00
10
10
10
00
00
01
10
00
10
10
00
10
10
01
00
11
10
10
10
10
00
00
00
00
01
10
10
01
11
00
01
01
10
11
00
00
11
00
01
10
01
01
01
11
00
00
11
10
00
10
00
00
00
10
10
00
11
10
10
11
00
10
10
10
00
00
10
11
00
00
01
00
11
11
00
00
10
10
10
00
00
00
00
10
00
01
00
01
11
01
00
01
00
10
11
00
01
10
10
10
10
11
10
01
00
10
11
01
10
10
00
01
00
10
00
00
11
11
11
00
01
01
11
00
00
10
00
11
11
01
00
00
11
01
00
00
10
10
10
00
11
00
11
00
00
10
10
10
01
00
11
00
00
10
01
00
11
11
00
00
10
01
10
00
00
10
11
00
00
10
00
11
10
10
10
00
10
00
00
00
01
10
11
11
11
00
00
01
00
10
00
00
10
00
11
10
00
00
00
11
00
01
00
10
00
00
11
00
10
11
01
10
11
01
10
11
11
01
10
11
00
00
00
10
00
01
10
11
10
01
01
11
00
10
11
00
00
10
00
00
11
01
00
01
00
10
10
00
00
11
00
00
01
00
00
01
00
00
01
00
11
00
00
00
00
10
10
00
00
00
10
10
11
11
00
01
11
00
00
11
10
01
11
00
00
10
11
01
01
10
10
00
10
10
01
00
11
10
01
00
10
00
11
11
00
11
00
00
10
10
11
10
00
00
01
00
11
10
00
11
10
11
10
10
11
11
11
01
10
00
01
00
10
10
00
00
10
10
11
00
00
00
00
00
10
10
00
10
00
10
11
11
00
01
10
11
11
10
00
00
10
00
10
10
10
11
00
10
01
11
01
00
00
01
00
01
00
10
11
00
00
10
00
11
00
00
11
00
10
00
01
10
01
10
00
11
01
01
11
10
00
10
11
00
00
01
10
10
01
00
11
10
11
00
11
10
01
01
10
10
00
00
10
10
00
00
10
11
10
11
00
11
10
01
00
00
00
10
01
00
11
10
00
01
01
00
10
01
10
10
00
00
01
10
00
01
10
00
01
10
10
10
10
11
11
00
11
10
00
00
10
01
01
10
11
00
10
11
10
00
01
10
01
11
10
00
00
01
10
10
00
10
01
10
00
00
00
10
00
01
10
10
11
10
01
00
10
00
10
11
10
01
00
00
00
00
00
00
00
00
10
11
10
00
10
00
10
01
01
00
11
11
10
10
10
11
10
10
00
11
11
00
11
11
00
00
00
00
00
01
11
10
11
10
00
01
10
10
01
00
11
10
10
11
10
10
00
00
10
10
00
01
11
11
10
00
11
11
10
00
10
10
00
00
10
10
00
10
10
00
01
00
01
10
11
11
00
10
00
10
10
00
01
00
00
00
10
11
11
00
01
10
11
00
11
10
11
00
01
00
10
00
01
10
10
10
01
00
01
00
10
10
00
10
10
10
00
01
10
00
00
10
00
00
01
10
11
01
10
00
00
00
01
00
11
11
00
10
01
01
11
11
01
00
01
11
11
10
00
01
00
10
10
11
00
00
10
10
00
00
01
01
00
10
10
01
10
10
00
10
11
00
01
10
10
10
10
10
10
00
00
10
10
01
00
10
10
10
10
01
00
01
00
00
10
00
00
00
10
11
00
00
10
10
00
00
11
11
00
11
01
00
00
00
11
10
00
01
10
10
10
00
01
10
00
10
10
00
10
00
10
10
00
00
00
00
10
00
10
00
11
11
01
10
01
10
00
00
10
00
01
10
11
10
10
00
10
10
01
11
00
01
00
11
10
01
11
10
01
00
10
01
01
11
10
00
00
01
10
00
00
10
10
01
00
10
10
01
01
11
11
01
10
10
11
10
01
01
11
11
10
10
00
00
01
11
11
00
00
10
00
10
00
10
00
00
10
10
10
01
10
10
11
11
10
00
10
00
00
00
10
00
00
10
10
01
00
01
10
00
01
11
11
00
10
10
01
00
10
10
00
01
11
00
00
10
11
10
00
00
11
10
10
00
10
11
00
10
00
01
11
10
11
01
00
11
11
01
10
10
00
10
10
00
01
00
10
10
10
10
10
00
10
00
10
00
01
00
10
11
00
11
00
00
11
11
00
00
01
10
01
00
01
10
11
00
10
00
11
00
01
10
11
00
00
10
01
00
10
10
01
00
01
10
11
10
10
10
00
10
10
10
00
00
00
10
10
10
00
01
10
01
00
00
10
10
10
00
00
10
10
01
10
10
00
11
01
11
01
00
01
11
00
01
10
10
00
10
00
01
10
00
10
10
11
00
00
10
01
01
10
11
00
10
01
01
11
10
01
00
00
10
11
00
00
10
10
10
10
10
00
11
00
01
00
01
10
10
10
10
00
00
01
10
10
10
11
01
01
11
00
00
10
00
00
00
11
10
10
10
00
10
10
00
00
01
10
10
00
10
10
10
00
00
01
01
11
01
00
01
00
00
11
11
00
01
00
11
01
11
00
10
10
11
00
00
11
01
10
00
11
10
00
00
01
00
10
10
10
00
00
11
10
01
00
00
01
01
00
11
11
00
10
10
00
01
01
10
01
00
10
00
00
10
10
10
01
01
10
00
01
10
11
00
10
10
11
10
01
00
11
11
11
10
11
00
00
00
10
10
00
00
10
00
00
10
00
10
11
00
00
00
10
00
00
00
00
00
10
10
00
10
01
00
11
10
01
01
11
00
00
11
00
00
10
11
01
00
10
11
10
11
10
00
00
01
11
01
00
10
00
10
01
01
11
10
10
01
10
10
01
01
10
11
00
10
00
10
10
10
00
00
10
10
01
10
00
01
01
00
10
10
01
11
11
00
00
10
10
11
01
10
11
10
01
10
11
11
01
11
10
01
00
10
10
00
00
10
00
01
11
10
11
10
11
11
11
00
00
10
11
10
00
11
01
00
10
11
00
11
10
11
10
10
00
10
10
01
11
00
00
11
01
00
01
00
10
11
10
11
00
10
10
10
00
10
00
00
10
11
00
10
00
00
11
10
10
11
10
01
01
10
00
00
00
11
11
00
10
11
00
01
00
00
10
10
10
10
00
11
10
00
01
01
10
01
00
11
10
10
10
10
11
10
01
01
10
00
10
00
10
00
01
10
10
01
10
01
00
10
11
10
11
00
10
00
11
01
10
01
00
01
00
01
11
10
10
01
01
10
11
10
10
10
00
01
10
01
00
10
01
11
10
00
11
10
10
10
10
00
00
01
11
00
00
11
11
10
00
10
01
01
01
01
10
01
01
11
11
11
00
00
10
01
01
10
10
10
01
01
10
10
10
10
00
01
10
11
10
10
10
00
00
00
01
00
10
10
10
10
01
00
10
10
11
00
11
00
00
00
10
10
00
10
10
00
01
11
10
00
00
00
10
11
00
00
10
11
00
00
11
10
10
10
00
11
01
01
11
10
00
01
00
00
10
10
00
00
10
01
01
11
10
00
00
01
11
11
10
00
00
00
10
10
00
10
10
11
11
10
00
00
00
10
10
00
00
01
10
00
10
10
01
01
01
10
00
01
00
11
00
11
11
01
00
00
01
01
11
10
01
10
10
00
10
10
00
11
10
10
11
11
00
11
10
10
11
10
00
01
10
11
01
10
11
00
01
10
00
10
11
01
00
10
10
10
11
00
10
10
10
10
10
00
00
10
10
00
10
00
00
00
00
11
10
01
00
00
10
00
10
10
00
00
01
01
10
00
11
10
00
00
10
10
00
10
00
11
10
11
11
00
01
00
11
10
00
00
00
00
10
00
01
00
00
10
10
10
10
10
11
10
10
10
01
10
00
01
11
00
01
00
10
01
00
10
00
00
11
11
00
00
11
10
00
11
11
10
00
00
00
11
11
01
10
11
01
10
01
01
10
10
10
01
10
11
00
00
10
01
10
00
00
10
00
10
01
01
00
11
01
10
11
01
10
00
00
01
10
00
01
10
11
01
00
00
00
10
00
01
10
00
01
01
00
11
00
11
00
10
00
10
11
10
10
00
01
10
00
01
10
10
01
10
00
11
10
10
01
00
10
10
00
00
01
00
00
10
00
00
00
00
10
10
01
00
00
10
10
00
10
00
01
01
01
11
10
00
11
10
01
01
11
11
10
10
00
10
11
00
00
10
00
01
00
00
10
00
11
00
10
00
10
01
11
10
11
01
00
11
01
10
10
00
01
10
11
01
10
11
00
00
10
10
00
01
10
10
00
10
00
01
11
10
01
00
10
10
10
01
00
10
10
10
00
10
10
00
11
11
11
00
10
00
00
11
10
10
00
00
01
10
10
00
01
11
00
10
11
01
11
10
00
00
11
10
10
00
00
10
11
10
00
00
00
10
11
00
10
01
01
01
10
00
11
11
00
01
01
11
11
10
00
00
00
00
10
10
10
01
10
00
00
10
10
10
00
00
00
01
01
10
01
11
01
00
00
10
10
10
00
00
11
11
11
01
10
11
00
00
00
10
10
01
00
10
11
00
10
10
11
00
10
01
01
00
10
01
01
00
11
00
10
10
01
00
00
10
00
01
10
01
10
10
00
01
00
11
10
00
10
01
10
00
00
11
00
00
10
00
11
00
10
00
00
00
01
01
11
11
11
00
00
10
11
00
00
10
11
01
01
10
11
11
11
01
01
11
10
00
00
10
11
00
01
10
00
10
11
10
00
00
11
11
00
00
10
00
10
10
00
10
11
00
00
00
11
01
01
00
10
01
00
10
01
11
10
00
10
10
10
01
00
10
01
00
00
11
10
00
10
10
10
00
01
00
00
11
10
10
10
00
10
10
00
00
10
10
01
00
11
01
00
10
00
00
10
00
00
10
10
10
00
00
10
10
11
00
10
00
00
00
11
10
10
00
11
00
00
00
00
11
10
01
10
10
10
00
10
10
00
01
01
00
01
00
01
10
10
10
00
00
00
10
11
00
01
10
01
10
00
10
00
00
10
00
00
10
10
00
10
10
01
10
10
10
10
01
00
00
10
01
00
11
00
01
00
00
01
10
11
00
00
10
00
11
10
00
00
10
01
00
11
00
01
01
10
10
01
11
11
10
11
10
01
01
10
10
00
01
00
10
00
01
10
11
00
00
00
00
10
10
11
00
11
11
01
00
10
00
00
01
10
10
00
10
00
00
00
00
00
10
10
10
10
11
01
00
01
10
01
01
10
00
10
00
01
11
11
11
01
00
00
11
00
00
00
11
11
11
00
00
01
11
00
00
01
10
11
01
00
10
01
00
10
10
00
00
10
10
10
10
01
11
10
00
01
11
11
10
01
10
01
10
00
00
10
10
10
10
01
00
01
10
10
10
00
10
00
00
10
11
01
01
10
10
10
01
10
10
00
00
11
00
00
11
10
10
10
00
10
10
11
01
10
10
00
01
01
10
10
00
00
10
00
00
10
11
10
11
10
01
00
10
00
00
11
01
00
10
11
10
01
00
00
01
10
00
10
00
10
01
00
10
01
11
01
10
00
10
10
01
00
00
00
00
11
01
10
10
00
00
10
10
10
10
10
00
01
01
01
10
00
01
10
11
01
00
11
11
01
00
01
10
00
10
10
11
01
01
10
01
01
11
01
01
01
10
10
00
10
00
00
10
00
00
01
01
10
00
10
11
00
10
01
00
10
10
10
00
00
00
10
11
10
10
11
00
11
10
10
00
00
10
10
11
11
01
10
00
00
10
10
11
10
10
00
00
10
11
10
00
10
00
00
11
00
00
01
00
11
10
00
11
01
10
11
00
01
10
10
11
01
00
00
00
10
00
10
00
01
10
10
01
00
11
00
11
10
00
10
10
10
01
01
10
10
00
01
00
11
00
00
10
10
00
10
10
11
11
00
00
01
10
01
00
10
10
10
01
10
11
00
01
01
00
10
10
10
01
00
10
10
00
10
10
10
10
00
11
00
00
01
01
10
00
00
01
01
11
10
11
00
10
00
00
10
00
11
10
00
00
10
01
01
10
10
11
10
00
10
00
11
10
00
01
00
01
10
10
01
01
10
10
00
00
10
10
01
01
10
01
11
10
00
00
10
01
01
00
11
10
10
11
00
01
10
10
00
11
10
00
00
11
10
00
00
11
11
10
00
00
10
00
01
01
11
00
10
11
01
10
00
00
11
10
00
10
10
11
10
10
01
00
11
10
10
00
00
00
10
01
01
00
10
01
00
00
00
10
10
11
01
01
11
01
11
10
01
10
10
10
00
00
10
10
00
00
11
01
10
10
10
00
10
00
00
10
00
00
00
00
10
10
10
00
10
11
00
00
00
00
00
10
00
10
00
01
00
10
11
11
10
10
10
00
11
00
10
01
00
00
11
11
10
11
00
01
00
10
01
00
10
00
11
10
00
00
11
11
10
00
10
00
00
11
01
11
01
01
01
00
11
10
11
00
01
00
01
01
00
00
10
11
00
01
10
11
10
01
10
00
01
10
01
01
10
10
10
00
00
00
11
11
00
00
00
00
00
10
11
01
01
11
10
00
01
10
00
01
00
10
01
10
11
11
10
00
10
00
00
00
10
01
11
11
00
10
11
01
01
01
00
11
10
10
10
10
01
10
00
00
11
00
01
10
00
10
10
11
01
00
00
10
00
10
01
00
10
10
10
00
01
10
01
10
10
01
10
01
10
00
00
11
00
10
01
00
10
01
00
11
01
10
10
10
11
01
00
10
10
00
01
00
01
11
11
11
00
10
00
00
01
00
10
10
00
00
10
10
11
01
00
11
00
01
00
11
00
01
10
10
10
10
00
10
00
00
11
01
01
10
10
00
01
01
00
10
10
10
11
00
10
11
10
01
00
10
01
00
11
10
10
00
01
10
00
11
10
11
10
01
10
00
11
10
01
00
11
10
00
00
11
10
00
00
11
00
00
11
00
00
01
01
00
01
10
11
01
11
00
10
01
00
10
00
10
10
01
00
00
11
00
10
11
01
01
00
10
00
11
10
00
00
10
00
00
01
11
10
11
00
01
10
00
10
00
00
00
00
10
00
10
11
01
10
11
01
01
00
00
01
10
10
00
00
11
10
00
00
10
10
11
10
01
00
11
10
10
10
01
10
11
00
00
01
10
10
01
00
10
10
01
00
00
10
00
10
10
00
10
10
10
10
10
10
01
10
10
00
00
00
00
10
00
10
10
01
00
00
00
10
11
10
01
10
10
00
10
01
00
00
10
01
01
00
00
10
11
10
10
10
00
01
10
00
00
10
01
10
01
00
01
10
10
10
00
10
11
10
10
00
01
00
00
11
11
10
10
00
00
10
11
10
10
10
00
01
10
10
10
00
01
10
10
10
00
01
00
01
10
10
00
00
10
10
01
00
00
10
10
00
10
01
00
11
00
10
00
01
00
00
10
10
01
00
11
10
11
00
01
11
00
00
01
01
11
11
01
00
11
00
11
10
00
00
01
10
00
01
11
10
01
10
10
11
10
00
01
11
10
11
01
01
00
00
01
11
00
01
00
10
01
10
10
00
10
10
10
10
10
00
01
01
00
00
00
00
00
11
10
00
00
00
11
00
01
00
10
10
01
10
10
00
10
00
00
00
10
10
10
00
11
11
00
10
10
00
00
11
00
10
00
00
10
00
11
00
00
01
10
11
00
00
10
11
00
00
00
10
11
00
00
01
10
11
00
10
10
00
11
10
00
01
01
11
10
11
10
01
01
11
01
11
01
10
10
00
01
10
11
00
00
00
00
01
00
10
10
01
00
01
00
10
11
00
10
00
11
01
00
11
10
00
00
01
00
10
10
00
00
10
10
00
10
10
01
10
01
00
10
11
00
10
01
11
11
10
11
01
01
01
00
00
11
01
01
01
10
10
00
00
01
10
10
10
10
01
00
00
11
00
01
00
01
10
11
10
11
00
01
00
10
10
01
10
10
11
01
00
10
00
00
01
00
11
01
01
10
11
10
11
11
00
10
11
10
00
00
10
10
10
00
01
00
00
10
11
11
10
00
00
11
00
10
10
01
10
10
00
00
00
01
11
10
00
00
10
11
00
00
10
00
01
01
00
10
01
10
00
00
11
00
00
01
10
10
00
00
01
11
01
10
11
00
11
10
11
10
00
00
11
10
10
10
01
10
10
00
00
00
10
10
10
01
00
01
10
10
01
10
11
01
00
11
10
11
10
10
00
10
11
01
10
01
00
10
00
01
10
00
01
10
11
00
01
10
10
01
00
01
10
01
00
10
10
11
01
10
00
00
10
11
01
10
10
10
00
00
10
01
11
11
10
00
01
11
10
00
10
10
01
10
00
10
01
00
00
10
10
00
11
11
10
00
10
00
00
00
10
00
10
11
11
10
00
00
01
00
00
10
01
01
00
10
00
10
10
10
10
10
10
00
00
00
00
01
10
00
10
00
00
01
10
10
10
00
00
00
11
11
01
10
10
00
00
00
10
00
00
01
01
11
00
11
10
00
10
10
00
00
10
10
11
10
00
01
11
01
00
11
10
01
01
01
00
11
01
00
10
10
00
00
10
10
01
10
00
11
01
01
00
00
10
10
10
00
00
01
10
10
00
10
00
01
10
11
01
00
01
11
11
10
01
00
11
10
10
10
00
10
10
00
11
10
00
10
01
01
00
00
11
11
10
10
11
10
11
01
00
00
10
01
00
10
10
11
10
00
01
00
10
00
01
00
00
10
11
10
10
00
00
00
11
10
10
10
01
00
11
00
10
11
11
01
11
10
00
10
10
00
01
00
10
11
10
10
10
10
11
11
00
01
01
10
10
10
01
11
10
10
01
00
10
00
11
10
01
10
00
00
11
11
10
11
01
00
00
10
10
01
01
10
10
10
00
11
10
11
01
11
00
10
10
11
01
01
10
10
00
01
00
10
00
01
10
10
01
00
10
00
10
11
01
11
10
10
00
11
10
01
10
10
10
10
10
00
11
00
00
11
10
11
11
10
00
00
00
11
10
01
10
00
00
11
00
00
10
11
00
00
10
00
10
11
00
11
11
00
10
10
01
00
11
11
01
01
10
01
11
11
10
00
00
10
01
10
10
00
11
00
00
01
10
11
00
10
01
01
10
10
00
00
10
10
01
01
10
00
00
11
10
11
00
00
11
00
10
00
10
10
11
10
01
10
11
00
01
10
10
00
00
10
01
11
10
01
11
00
10
00
11
10
10
00
10
10
01
10
10
10
00
00
01
10
00
10
10
01
11
11
01
00
00
11
10
01
10
10
00
10
10
00
01
00
00
11
00
11
00
00
11
10
10
00
00
11
10
10
00
10
01
01
10
10
01
10
00
10
00
00
10
11
00
11
00
00
10
01
11
01
11
11
00
01
00
01
01
10
00
00
11
00
00
11
11
10
11
00
10
10
11
00
01
10
11
10
01
01
10
11
00
01
00
11
11
10
00
10
10
01
00
11
01
00
10
10
00
01
00
00
10
00
00
10
00
10
01
11
10
10
11
01
11
00
00
00
10
01
01
11
11
00
11
10
10
00
00
10
10
00
00
11
01
10
01
10
00
10
11
01
00
10
10
00
00
01
10
10
10
01
01
00
10
10
01
11
10
00
01
10
00
11
10
11
01
01
11
10
01
01
00
01
00
11
10
00
11
00
01
01
11
11
10
00
10
00
01
10
11
10
00
10
00
00
00
11
10
00
00
00
00
11
00
10
00
00
10
10
00
00
00
10
10
00
10
10
10
11
00
11
11
01
11
00
10
10
00
00
10
10
01
00
10
10
10
11
10
10
00
11
10
00
01
00
10
10
00
10
11
10
00
00
10
11
10
11
11
11
00
00
00
10
01
00
10
10
10
11
00
00
00
11
10
11
00
01
00
01
11
10
10
01
00
00
11
10
10
10
00
00
11
10
01
10
10
10
10
10
11
11
00
01
10
10
00
10
10
10
00
01
00
10
01
10
10
10
00
11
10
00
01
10
00
00
11
10
01
11
00
00
11
00
01
00
10
10
00
10
11
10
01
11
11
01
10
10
00
00
10
10
00
00
10
10
00
10
10
00
11
10
11
10
01
00
10
10
01
01
11
00
10
10
10
00
01
01
01
11
10
01
10
10
00
00
10
10
01
00
00
11
10
01
00
01
10
10
00
01
00
10
11
10
00
10
01
00
10
00
01
00
10
00
11
01
11
01
10
00
01
00
10
00
00
10
00
10
10
10
10
10
10
00
11
10
11
01
10
00
00
10
01
10
10
10
01
00
11
00
10
11
11
10
00
10
10
00
01
11
01
11
10
00
00
11
10
01
11
10
00
00
01
01
11
11
01
01
00
11
10
00
00
10
00
00
10
10
10
10
00
10
00
00
10
10
01
00
10
00
00
00
11
11
00
10
10
10
01
10
00
01
10
01
11
10
00
11
10
11
10
01
00
11
11
00
10
10
00
01
10
10
00
10
11
11
11
11
10
10
00
00
11
00
01
10
00
00
00
01
10
11
00
10
10
10
00
01
00
10
11
00
11
10
11
10
00
01
01
11
11
11
01
00
10
00
00
10
10
11
01
00
00
01
10
11
00
10
00
10
10
00
10
10
00
00
01
00
01
10
01
01
00
01
10
01
11
10
10
10
01
01
11
00
00
10
11
00
10
10
00
11
10
10
01
10
10
00
01
11
00
01
11
01
10
10
00
00
11
10
00
00
10
00
10
01
10
10
01
10
00
01
11
10
10
11
10
11
10
00
10
10
10
11
10
00
00
11
11
10
00
10
11
00
11
00
00
10
10
00
00
00
11
10
00
00
01
01
00
11
00
01
00
10
11
00
10
11
10
01
10
00
01
10
00
10
11
10
10
00
00
00
10
00
10
11
11
10
10
11
10
00
00
11
00
00
00
00
00
00
00
00
10
10
11
00
11
10
00
10
10
10
10
01
01
00
10
01
00
00
01
10
11
11
00
10
10
01
10
00
00
01
01
10
01
11
00
10
00
00
10
10
01
10
10
00
00
10
01
01
11
11
00
10
10
00
11
11
00
01
00
10
10
00
01
11
00
10
01
01
10
01
11
00
01
00
00
00
01
10
00
10
10
10
10
10
01
00
10
00
00
11
10
00
10
10
00
10
10
10
00
00
11
00
10
10
00
00
10
00
00
11
00
10
11
01
01
01
00
11
10
00
00
00
10
11
00
01
00
10
00
01
10
10
00
00
10
10
00
10
00
00
10
01
11
10
00
01
10
11
01
01
00
10
00
10
00
00
00
10
00
11
10
01
01
10
10
10
10
10
00
00
01
10
11
11
10
10
00
01
01
11
11
10
10
00
10
00
10
11
11
00
01
10
10
10
10
00
11
00
11
00
01
00
00
10
10
01
10
10
00
00
00
10
00
00
11
00
00
10
01
00
11
00
11
00
01
01
01
01
10
10
00
00
11
11
10
00
01
10
01
00
00
10
11
10
01
10
10
01
10
11
11
10
01
00
01
00
10
11
10
10
01
11
10
00
10
10
00
00
00
01
00
10
10
01
10
10
00
01
10
11
10
10
00
10
00
10
00
01
11
11
10
11
00
00
00
10
10
00
11
11
01
01
11
10
11
00
00
01
10
10
00
00
11
11
01
10
00
00
00
00
01
01
10
11
00
10
10
00
00
00
10
10
10
10
01
00
01
10
01
00
10
10
00
01
10
00
10
10
10
00
10
10
10
10
10
00
10
00
11
10
10
10
00
01
01
10
10
11
10
10
10
10
00
11
11
10
00
10
10
01
10
11
10
00
01
00
01
00
10
10
00
10
00
00
01
00
10
00
01
11
10
00
11
00
10
00
00
00
10
10
10
10
00
11
10
11
11
11
00
10
10
11
00
01
10
10
10
10
01
11
00
10
10
00
00
11
11
00
11
10
00
00
01
10
10
00
00
10
01
01
10
10
01
00
00
10
11
00
10
10
00
01
11
10
10
00
00
00
10
10
01
11
00
01
01
10
11
00
11
10
10
00
01
00
10
11
00
11
11
00
10
01
01
11
00
00
11
00
10
11
10
11
00
00
00
00
01
00
11
10
10
00
10
10
01
10
11
00
11
00
01
10
10
10
01
00
10
00
00
00
01
10
10
00
01
11
00
01
01
10
11
01
10
11
10
01
11
11
00
11
10
00
10
11
01
00
10
11
01
11
00
10
10
11
10
00
01
10
10
10
01
10
10
10
01
00
01
00
10
00
10
10
00
11
00
10
10
10
10
10
00
00
00
00
01
01
11
10
10
10
10
10
10
10
01
11
00
10
01
10
00
10
10
00
00
11
10
00
00
11
00
10
10
10
00
10
00
00
10
11
10
11
11
00
10
01
10
00
11
11
00
10
11
00
11
10
00
00
10
11
10
00
11
00
01
10
11
00
01
00
11
10
00
10
10
10
00
00
00
10
10
11
11
10
01
11
00
00
10
11
00
11
10
00
10
00
00
10
00
00
00
00
10
01
10
01
10
01
00
01
10
01
11
10
10
01
10
10
10
00
11
10
00
00
10
11
00
00
11
00
00
10
01
00
00
10
10
11
10
10
01
01
01
10
10
10
00
00
00
10
11
10
11
00
00
10
10
00
00
00
10
10
10
00
00
10
10
10
10
01
10
10
00
10
00
00
11
10
10
11
00
00
00
10
10
11
01
00
00
10
11
01
10
11
01
10
10
00
11
11
11
01
10
00
10
10
00
01
11
10
00
00
00
10
00
00
10
10
01
10
10
00
00
10
01
01
11
01
00
00
00
01
10
11
00
01
01
10
00
00
10
11
01
01
10
10
11
10
11
00
00
01
10
10
10
10
00
01
00
01
10
10
00
10
01
01
10
10
00
00
00
11
00
00
00
10
10
11
10
00
01
10
00
10
01
10
10
00
01
10
11
01
00
00
11
10
00
10
10
10
10
10
11
11
10
00
01
01
10
10
00
00
01
10
11
10
00
00
00
01
01
00
00
10
10
10
10
00
00
10
10
01
11
00
11
10
11
10
00
00
10
10
11
10
11
10
00
00
10
10
10
11
10
01
00
11
10
10
00
01
10
11
00
01
11
10
00
01
10
00
01
10
10
00
01
10
00
11
01
00
11
11
11
01
00
11
10
00
10
10
00
00
00
10
10
00
10
01
00
00
10
00
00
10
00
01
00
11
10
11
10
10
10
01
00
11
01
01
10
01
11
11
00
10
11
10
01
00
00
10
01
10
00
00
11
11
00
01
00
00
10
10
11
00
00
11
10
00
00
11
11
00
00
01
10
11
00
01
01
10
10
00
10
10
10
00
01
10
11
11
00
10
11
11
11
11
10
10
01
00
00
00
10
11
10
10
00
10
10
00
00
00
10
11
10
11
01
10
10
00
00
11
11
00
00
00
11
11
00
00
11
11
00
01
11
00
11
01
00
00
10
10
01
00
10
10
10
00
10
00
10
01
00
00
10
10
01
10
10
10
11
11
00
10
11
01
00
10
00
00
00
01
11
01
10
11
00
11
00
10
10
00
00
00
10
10
10
00
11
01
10
00
01
00
00
01
01
11
01
00
00
00
10
11
00
00
10
11
00
00
10
10
00
00
00
01
11
00
11
01
00
01
11
10
10
00
10
10
00
00
01
10
00
00
11
00
00
00
11
10
00
00
00
00
10
00
01
00
01
00
11
00
01
00
10
01
00
00
10
01
11
00
11
11
10
00
00
01
01
10
10
01
00
10
11
11
00
00
11
01
00
10
11
00
00
00
00
00
00
10
01
11
11
00
10
00
11
10
11
10
00
10
00
10
10
00
00
10
01
00
00
10
10
00
10
10
00
00
10
10
00
01
10
01
01
10
10
10
10
00
10
10
00
10
00
00
10
01
01
10
00
00
10
11
10
11
01
00
11
10
10
00
11
10
10
11
00
01
10
11
00
11
00
11
10
10
10
10
11
00
00
11
01
10
00
00
10
00
10
11
11
00
00
10
00
01
11
01
01
00
00
01
00
10
00
10
11
10
00
01
10
10
00
10
10
10
10
00
10
10
01
10
11
11
10
00
10
00
10
00
10
11
00
00
00
10
11
10
10
10
00
00
11
10
00
10
11
01
01
11
10
00
00
11
11
11
00
00
00
11
01
00
10
11
00
11
10
00
00
10
11
00
10
00
11
11
11
01
10
10
11
01
00
10
11
00
10
11
00
00
01
10
11
11
10
00
11
10
00
11
10
00
00
00
10
10
00
11
01
11
00
00
00
00
00
11
10
00
00
10
00
00
01
11
10
01
10
00
10
10
01
11
00
01
10
10
00
00
01
00
10
00
10
11
00
00
10
00
00
00
00
00
01
10
01
10
10
01
10
10
00
00
10
01
01
10
10
10
10
00
01
00
00
10
01
10
00
10
10
11
01
00
00
11
11
00
11
10
11
01
00
01
10
00
01
00
00
10
11
10
00
00
10
01
00
00
00
00
01
00
10
10
10
10
00
01
01
00
11
10
10
00
10
10
01
00
10
11
00
00
01
11
11
00
10
11
01
10
11
01
00
10
11
00
11
11
00
10
00
10
10
00
00
10
10
00
10
00
00
11
10
10
11
00
01
11
01
10
10
00
00
10
10
01
00
00
01
10
01
01
10
11
00
10
10
00
00
10
00
00
01
00
10
11
00
10
00
01
10
10
00
00
10
11
10
11
00
10
01
10
11
00
00
10
10
00
00
00
10
10
10
10
01
10
00
01
00
10
00
00
10
00
00
10
00
11
00
10
00
10
00
00
00
00
00
10
00
00
10
10
00
00
10
11
10
10
00
11
10
01
11
00
00
00
01
10
10
10
10
00
10
00
00
10
00
01
10
10
10
11
11
10
01
00
11
00
00
10
11
10
01
00
10
00
01
11
11
00
01
01
10
00
10
11
00
10
01
10
10
00
10
00
10
10
01
00
10
01
00
10
01
00
01
00
10
00
00
00
00
10
10
10
01
00
00
10
11
00
10
00
10
00
00
11
00
01
01
01
00
00
10
10
00
01
10
10
00
00
11
11
01
10
10
00
10
00
01
10
11
00
10
10
00
10
10
11
11
00
00
10
00
10
00
00
11
11
10
10
10
00
00
00
10
00
10
10
10
10
10
10
00
11
10
00
10
10
00
10
10
10
00
11
00
00
10
00
10
11
00
01
00
01
01
11
00
00
00
11
01
00
10
01
01
10
11
00
11
01
10
10
00
01
11
11
01
11
01
10
10
10
00
00
00
01
11
11
01
11
11
00
11
11
00
01
01
11
10
10
00
11
10
10
01
00
11
10
01
10
11
00
00
00
11
00
10
10
10
00
00
11
11
10
00
11
10
00
00
10
11
10
00
01
00
01
01
10
10
10
11
00
00
10
11
00
00
00
11
01
10
00
00
10
00
00
10
01
00
00
11
00
01
00
10
10
11
00
01
00
01
10
10
00
00
01
10
10
11
11
00
01
10
10
00
10
10
00
00
10
11
00
11
00
10
00
01
10
00
00
10
10
11
00
11
00
00
00
01
10
00
00
10
01
00
11
00
00
00
00
10
10
01
00
10
11
10
01
10
10
10
01
10
10
10
00
00
00
00
00
11
00
01
00
01
00
10
11
10
11
11
11
00
01
11
01
10
00
01
10
01
00
10
10
10
00
10
00
00
01
10
10
11
00
00
10
00
00
10
10
00
10
11
11
10
11
10
10
01
01
00
01
11
10
01
11
10
00
00
10
10
10
01
11
01
11
10
11
01
00
11
00
01
10
10
01
10
00
10
11
00
00
00
10
00
11
01
00
00
11
11
10
01
01
10
00
00
10
10
00
00
10
10
00
10
00
10
01
10
00
10
10
00
00
10
11
00
01
11
10
00
00
00
00
11
10
10
01
10
01
10
11
00
10
11
11
10
00
01
10
10
10
00
11
10
11
00
00
00
11
00
00
11
10
10
10
11
10
11
00
00
00
00
10
00
11
10
11
00
11
11
00
01
00
01
10
10
00
01
10
11
11
11
00
11
10
00
01
00
10
10
00
00
10
01
00
10
10
00
10
11
00
10
00
00
10
00
10
00
10
10
01
00
11
00
01
10
10
10
01
11
10
10
00
00
10
00
00
11
11
00
00
10
10
00
00
10
10
00
11
11
00
11
00
00
10
10
00
10
11
10
11
01
00
00
00
01
11
01
00
10
10
00
10
00
00
11
10
01
01
01
10
10
10
10
01
00
10
00
00
10
00
01
11
11
10
10
00
11
10
10
00
00
00
10
10
10
01
00
11
00
10
00
10
00
00
00
10
00
01
00
10
10
10
00
10
10
00
11
01
00
11
00
00
10
00
00
11
00
00
10
00
00
00
10
00
10
10
00
10
10
00
11
10
01
00
00
00
11
10
00
00
10
10
10
01
11
11
00
00
00
01
10
00
00
00
10
00
00
11
10
00
10
00
11
11
10
00
00
11
10
10
01
11
00
00
01
01
11
00
10
10
10
10
00
01
11
10
10
00
00
01
01
01
11
10
00
01
11
10
00
00
10
11
00
01
01
00
00
10
01
00
11
10
11
10
00
01
01
10
10
00
00
10
10
00
10
00
00
01
01
00
00
00
00
10
10
10
00
01
11
11
11
00
00
00
00
11
11
01
00
00
10
10
00
11
11
00
00
10
00
10
10
10
00
01
10
01
11
00
00
01
11
10
10
10
00
10
10
00
00
00
10
01
10
10
01
00
10
10
01
11
00
00
01
00
00
10
10
00
11
10
11
10
00
11
10
11
01
00
10
00
11
10
10
01
10
11
11
10
01
10
10
01
10
10
01
01
10
11
10
00
01
11
10
10
00
00
10
00
00
10
10
00
01
10
10
10
10
11
00
01
10
11
01
10
00
01
00
10
01
00
00
11
00
10
01
10
11
10
10
10
01
01
10
00
00
00
00
00
11
11
11
10
10
10
11
11
00
00
10
01
10
10
11
00
00
11
01
00
10
11
00
00
00
10
10
10
01
11
00
00
11
10
00
11
00
10
01
00
10
00
10
00
00
10
00
01
01
00
01
10
11
10
00
00
11
10
10
00
10
00
00
10
10
10
00
00
11
00
01
10
10
10
10
00
00
10
10
00
00
00
00
11
11
00
00
11
11
10
01
00
00
10
10
00
00
10
11
10
11
10
00
10
00
11
10
10
00
10
11
00
00
00
11
11
00
11
11
11
11
11
10
10
00
01
01
10
10
00
01
00
10
11
00
11
00
00
01
00
10
10
00
10
11
00
10
00
10
10
00
00
00
01
10
10
01
11
11
00
10
10
00
10
00
00
10
10
00
00
10
10
10
00
11
11
01
11
00
11
00
00
00
00
10
10
11
01
00
11
10
11
01
11
10
00
10
10
10
00
01
10
01
00
01
10
10
01
11
00
00
10
10
01
00
11
01
10
10
00
10
10
11
00
10
01
00
00
11
10
00
01
00
10
00
01
11
01
10
10
00
00
10
00
10
10
00
00
01
10
00
10
10
11
00
10
10
11
00
01
10
10
00
00
10
11
10
00
01
00
10
11
10
00
00
11
11
01
00
01
11
00
01
10
10
00
01
11
00
01
10
00
00
10
01
00
10
10
11
11
01
00
01
11
00
11
10
00
10
00
00
01
10
11
11
00
00
10
10
11
01
01
10
00
00
01
00
10
00
10
10
11
01
11
11
10
11
11
11
01
11
10
00
01
10
00
01
10
10
00
10
10
01
00
10
11
10
01
10
00
00
00
10
00
01
01
00
10
10
01
00
00
10
00
10
10
01
00
10
10
10
11
11
00
00
00
00
01
11
00
00
11
01
01
00
11
01
10
00
01
00
10
10
01
00
11
10
11
01
00
10
10
10
01
00
00
11
10
10
10
01
10
10
10
00
01
10
01
10
10
01
00
01
00
10
11
10
01
01
00
10
11
10
00
10
10
00
11
01
10
11
10
10
00
00
10
00
01
01
10
01
01
00
01
00
10
00
01
10
10
10
00
10
01
00
01
10
10
10
01
11
11
01
10
10
00
00
11
01
00
11
00
10
01
00
10
11
10
00
11
10
11
01
00
11
10
00
00
00
10
00
01
10
00
00
00
00
01
00
10
00
10
00
10
10
00
01
11
00
00
11
00
10
10
00
10
00
11
01
10
01
11
01
10
10
00
10
11
00
11
00
00
00
00
00
10
10
01
01
00
00
00
10
11
10
11
10
10
10
10
01
00
10
00
01
10
10
00
10
00
00
10
10
11
10
11
01
11
01
00
10
01
11
11
01
10
11
10
11
00
00
01
10
00
00
00
11
01
00
11
01
10
01
10
01
10
10
00
00
01
10
10
00
00
11
00
10
00
00
00
10
10
01
00
11
01
11
01
01
01
10
11
00
11
00
00
10
10
00
11
11
01
11
11
00
10
10
00
00
11
10
10
01
11
11
11
00
10
00
00
10
00
10
10
00
00
11
01
10
00
11
11
11
10
10
00
11
10
01
00
10
11
00
01
10
11
00
00
00
11
10
00
10
10
10
10
01
00
10
10
10
10
01
01
10
01
00
10
10
01
00
10
10
00
00
01
10
00
00
11
01
11
11
01
01
10
00
10
00
00
10
10
00
10
11
10
10
00
00
10
00
11
10
10
11
10
10
00
01
00
01
00
10
00
00
00
00
10
11
10
00
11
10
00
01
01
00
10
10
00
11
00
00
10
10
00
00
00
11
10
00
00
00
01
11
00
00
10
00
00
00
00
10
10
10
00
00
00
00
10
00
10
01
01
01
01
11
00
10
00
10
01
00
10
11
10
01
00
11
10
10
00
00
00
10
11
00
10
11
10
10
10
00
10
10
10
01
00
10
10
00
00
10
10
01
00
10
10
01
11
10
00
00
01
01
01
10
10
10
00
11
01
01
01
01
10
00
01
10
10
00
00
01
10
10
00
01
10
10
10
11
00
00
00
11
11
00
10
00
11
00
10
00
00
10
10
10
00
01
10
11
10
10
11
10
00
10
10
00
10
00
00
10
00
10
10
10
10
10
10
10
01
01
10
00
10
01
00
00
10
10
11
00
10
00
11
11
00
00
10
01
10
01
01
11
01
10
10
00
01
10
01
00
00
11
00
01
11
10
11
10
01
00
01
00
10
10
00
01
11
11
01
00
00
00
11
00
10
01
00
01
01
10
00
01
10
00
01
10
10
11
01
10
10
01
01
11
11
00
00
10
11
00
11
10
01
00
10
10
10
01
00
10
00
00
10
00
10
00
10
10
10
10
00
01
10
10
10
11
10
01
00
00
11
00
01
11
00
00
00
10
10
10
11
10
00
00
00
10
00
00
01
00
01
00
11
10
01
10
01
10
00
10
10
10
00
10
11
00
11
00
10
11
10
10
01
01
10
01
01
10
00
00
10
11
01
00
11
00
00
00
10
00
00
00
10
10
10
01
01
10
11
00
11
11
11
11
10
00
00
01
11
00
01
01
00
10
00
10
00
00
10
10
00
10
11
10
00
11
01
01
10
11
00
10
00
10
10
00
10
10
10
01
00
01
00
00
00
01
10
10
00
01
00
00
11
10
10
11
10
00
01
10
00
00
10
11
10
00
10
00
00
10
11
00
11
10
01
01
11
10
00
00
11
10
01
01
10
10
10
00
00
11
11
11
10
00
11
10
01
00
00
11
00
10
11
11
11
11
10
01
10
00
10
01
00
11
10
00
00
11
10
01
10
10
00
10
11
11
11
01
10
00
11
01
10
11
00
01
10
10
00
10
10
01
10
10
00
10
00
00
01
00
10
11
10
00
10
00
00
01
10
10
10
01
11
00
01
10
10
10
10
10
01
00
01
01
00
00
10
00
00
11
10
10
00
01
10
00
10
10
10
11
00
01
00
10
10
00
01
10
10
01
00
10
10
01
01
10
00
11
10
00
00
01
10
10
10
01
00
11
00
01
01
10
00
10
11
00
10
10
01
00
00
10
00
00
10
00
10
00
01
10
01
00
00
01
10
01
10
11
00
00
01
10
10
01
10
01
10
01
11
00
01
10
00
10
01
00
11
10
00
11
11
10
00
01
10
10
10
10
01
10
11
10
00
10
00
10
10
01
00
10
10
10
01
10
10
00
01
01
01
10
00
10
10
00
00
11
11
10
00
10
10
10
00
00
01
11
10
00
10
00
01
01
10
10
10
00
00
10
00
10
11
11
10
00
00
10
00
01
01
00
11
01
10
11
01
00
11
00
00
11
00
10
10
00
01
00
00
10
10
10
10
01
00
00
00
01
01
00
00
00
00
00
10
11
01
10
01
11
11
10
00
00
10
00
01
10
10
10
01
10
00
01
10
10
00
00
10
10
11
01
00
01
00
01
10
10
00
00
11
10
01
00
11
01
00
00
10
10
11
11
11
00
01
11
01
11
11
00
10
00
01
11
10
00
00
00
11
01
01
10
10
00
10
00
01
10
10
01
11
10
11
01
10
00
00
00
10
10
01
00
10
10
01
00
11
10
00
11
00
00
10
10
10
10
00
00
00
10
00
00
00
00
10
10
00
10
11
01
00
10
10
10
10
00
10
10
10
10
00
00
10
10
10
11
01
01
10
10
11
00
11
10
00
01
01
11
01
00
10
01
01
11
10
10
00
00
11
11
10
01
10
10
10
01
00
11
10
00
10
10
01
00
01
11
00
01
11
11
00
00
10
10
10
01
00
10
11
00
11
01
00
00
00
00
00
10
11
11
00
11
10
01
00
10
10
11
00
01
00
10
00
10
00
10
10
01
00
10
10
10
00
01
01
10
01
00
00
00
11
01
00
11
11
10
00
00
10
10
11
10
10
01
00
10
00
01
01
01
00
11
00
00
10
00
00
00
10
10
10
11
10
00
10
00
10
10
00
01
01
10
11
00
10
11
01
00
11
11
10
10
00
00
11
10
00
00
11
10
00
01
11
00
00
10
00
00
11
11
00
00
10
01
10
10
00
00
01
10
11
00
01
00
10
10
10
00
01
11
00
00
10
00
11
10
10
00
10
10
00
00
10
01
11
10
10
01
00
11
10
00
00
00
10
10
10
00
01
00
11
11
10
11
10
01
11
00
01
10
01
10
00
01
01
11
10
00
00
10
00
00
10
10
01
00
00
00
00
10
10
01
00
10
10
00
10
11
01
00
10
01
10
11
10
00
10
00
10
01
10
10
00
10
10
11
01
00
10
00
11
01
00
00
01
10
11
01
00
11
00
01
00
00
10
10
01
00
00
10
11
10
11
11
11
11
10
01
01
10
00
01
01
00
00
00
10
00
00
11
10
10
00
01
01
01
00
00
10
10
10
00
10
10
11
00
00
10
00
10
00
00
10
00
00
01
10
11
00
11
00
10
11
00
00
00
00
11
00
10
11
00
10
11
11
10
10
00
01
11
11
10
00
00
00
10
11
00
00
00
10
00
10
11
00
01
10
11
10
00
01
01
11
11
10
00
11
00
00
10
01
01
01
11
11
00
10
10
10
00
10
11
00
10
10
00
01
10
10
01
01
10
00
00
00
10
10
00
10
10
00
00
11
10
00
01
10
01
01
01
00
10
10
01
10
11
00
10
10
00
00
00
01
10
11
10
10
10
01
10
10
01
00
10
11
10
01
10
10
00
10
11
11
01
00
01
00
01
01
00
10
00
01
01
11
10
10
10
10
00
00
01
11
11
00
10
11
10
11
00
10
10
01
11
10
00
01
10
10
01
10
00
10
11
00
00
10
00
00
00
11
10
00
10
00
10
00
10
10
10
00
00
11
10
10
10
01
10
00
10
00
11
10
01
11
01
00
01
00
10
10
00
11
10
00
01
10
10
00
11
00
10
11
00
10
01
00
00
10
10
10
11
01
10
10
01
10
00
11
10
01
01
11
01
10
10
00
11
11
00
00
10
10
00
00
00
10
10
01
00
00
11
11
00
00
10
10
01
00
00
00
10
01
01
10
10
10
00
01
10
10
01
01
10
00
01
10
10
11
01
11
11
00
01
10
10
10
10
00
00
10
10
01
10
11
01
01
00
11
00
10
11
00
01
00
00
10
10
00
00
10
10
11
10
10
10
10
00
00
00
00
11
10
11
11
00
00
01
01
00
00
10
10
10
01
00
10
11
01
10
00
01
10
00
00
00
10
01
01
11
00
10
10
00
00
10
10
00
01
01
11
00
01
00
00
10
11
10
00
01
00
01
10
01
11
01
01
01
01
11
01
00
10
01
00
10
10
10
01
10
11
10
11
11
11
00
10
00
10
00
01
10
10
10
00
11
11
11
11
10
01
10
11
01
10
10
11
01
01
10
00
00
10
00
10
00
01
11
10
11
00
00
01
11
11
10
10
10
01
01
01
00
01
11
10
11
00
11
11
00
00
11
01
00
01
10
10
11
10
00
00
10
10
10
10
10
01
00
10
10
00
10
00
10
10
10
10
10
00
00
00
00
10
10
10
11
01
10
01
00
00
10
00
10
11
00
00
10
11
00
01
01
10
10
00
10
10
11
00
01
10
10
00
00
01
10
10
00
10
10
01
10
01
01
11
10
10
11
11
01
01
11
10
00
00
01
11
01
00
10
00
01
10
11
00
10
10
00
10
10
00
00
00
00
00
00
10
10
10
01
10
11
00
00
00
01
11
11
11
00
01
11
11
01
00
11
11
10
01
10
10
00
00
10
11
00
01
10
01
00
10
10
11
11
01
00
00
10
00
00
00
10
11
01
00
01
00
00
10
10
10
11
01
01
11
11
11
00
01
00
10
10
00
10
10
00
00
00
00
10
10
01
10
00
11
00
11
10
11
00
01
10
00
10
10
00
10
01
00
10
01
11
00
00
10
00
10
01
10
10
11
00
00
00
10
10
01
11
10
10
10
11
01
00
00
00
10
00
00
11
01
10
00
01
10
11
11
10
10
00
00
00
10
11
00
01
00
10
10
00
01
00
11
00
00
10
10
10
11
00
00
11
01
01
00
11
00
10
01
00
10
10
00
00
00
11
10
00
00
11
00
10
11
10
00
00
00
00
10
10
00
11
01
10
11
00
10
00
01
10
01
10
11
00
00
00
10
10
00
10
11
10
01
01
10
11
00
00
10
00
01
10
10
00
11
10
10
00
10
00
10
00
10
00
01
10
00
00
01
10
10
00
10
01
01
01
00
11
10
01
01
11
01
10
11
00
00
11
01
00
10
10
10
10
00
00
01
10
10
10
00
11
11
01
10
00
00
10
11
00
00
10
11
01
00
11
00
01
10
00
10
00
00
10
10
11
10
00
11
10
00
10
10
11
00
10
11
01
00
00
01
10
10
00
00
10
10
10
00
00
10
10
01
10
00
11
10
01
10
00
01
00
10
10
10
10
10
11
00
11
00
00
11
10
11
10
10
11
10
00
10
00
01
01
10
10
00
10
10
00
00
00
10
11
00
10
11
01
01
10
11
10
01
01
00
00
00
11
10
00
10
00
10
01
01
10
10
11
10
00
10
00
00
10
01
11
11
10
10
01
00
01
00
11
10
10
00
00
11
11
10
01
10
11
00
11
00
01
00
10
00
10
00
01
10
11
01
01
11
11
10
10
10
11
10
10
11
01
00
01
11
10
10
00
00
10
00
00
10
01
00
11
00
11
11
00
10
10
00
00
10
10
10
00
00
01
00
00
01
10
10
00
01
10
00
00
11
10
01
01
01
00
10
01
01
10
10
00
00
10
11
00
11
01
00
11
00
10
10
10
01
00
10
11
11
11
10
01
01
10
01
00
10
01
00
10
10
11
00
10
01
00
00
10
10
11
00
01
10
10
10
01
11
01
10
10
11
01
11
10
00
01
11
10
11
10
00
00
10
00
00
00
11
10
00
10
10
01
00
01
10
10
10
11
00
00
00
10
11
01
00
10
10
00
00
10
00
10
01
00
01
00
10
00
10
00
10
00
00
10
10
10
10
11
10
00
00
10
00
00
10
10
10
00
00
11
00
00
00
00
10
00
00
00
01
11
00
10
10
10
01
00
11
00
11
11
10
00
00
10
10
11
00
01
01
11
10
10
10
10
00
00
10
00
11
11
10
01
10
11
10
00
01
01
00
11
00
00
00
10
10
10
10
00
10
00
00
00
10
00
11
10
10
00
01
10
10
10
10
00
01
00
00
01
11
00
11
00
11
10
01
00
11
00
00
11
10
00
10
10
00
00
00
00
10
00
11
01
00
00
10
11
00
10
00
10
11
00
10
11
01
10
01
00
10
11
10
00
10
00
00
01
10
00
00
10
10
10
11
10
01
01
01
00
11
00
11
00
10
01
01
00
00
10
11
00
01
11
10
11
01
01
01
10
11
11
00
00
00
10
00
10
10
01
10
01
01
00
00
11
10
01
00
10
11
00
10
00
10
11
10
01
00
10
10
00
10
11
00
00
10
00
10
01
10
01
00
00
10
10
10
01
10
10
01
10
01
01
00
00
00
10
10
11
01
00
01
10
00
01
10
11
00
00
11
10
01
00
00
11
00
00
00
11
11
01
00
11
10
00
00
00
00
10
10
10
00
11
10
00
11
00
01
00
01
10
11
00
01
10
11
11
00
00
10
00
10
00
01
00
00
11
11
00
00
11
11
10
10
01
10
00
01
00
00
00
01
10
10
01
00
10
11
01
10
00
00
01
11
00
01
11
10
11
10
00
00
00
11
10
10
00
10
10
00
11
10
10
10
01
11
10
00
10
00
10
10
01
00
00
00
11
10
00
10
01
10
00
10
10
00
00
11
10
00
00
01
00
11
00
10
11
00
10
11
10
00
01
00
11
00
01
10
10
01
10
10
01
11
01
00
00
01
00
11
00
00
10
10
00
10
10
01
01
11
10
10
11
00
11
00
00
10
00
10
00
01
10
11
10
00
10
10
00
00
10
10
01
00
00
11
10
00
10
11
01
00
01
11
00
10
00
00
10
11
00
10
00
00
01
11
11
01
10
10
01
00
11
11
00
00
10
10
10
00
00
01
00
10
11
00
00
00
00
10
11
01
10
00
10
10
00
01
10
10
00
01
00
00
10
00
00
00
01
10
11
00
11
00
00
10
10
00
10
00
01
00
01
00
11
01
00
10
01
10
11
10
01
01
01
00
10
10
01
11
10
11
01
00
10
10
10
10
11
01
00
10
00
01
00
10
10
01
00
10
01
00
11
10
11
11
10
10
10
00
01
10
10
00
10
10
01
00
00
00
11
01
11
10
00
00
10
10
10
00
00
01
10
00
10
10
00
10
10
00
01
11
10
01
00
00
00
00
11
10
00
00
00
10
00
00
10
01
00
10
10
10
00
00
01
01
00
11
10
00
00
10
10
11
10
00
00
10
01
10
10
01
00
11
10
11
11
11
00
01
00
00
00
00
11
10
00
00
00
10
00
11
10
10
00
00
10
10
00
00
00
11
10
00
10
11
01
00
00
10
10
00
11
11
01
00
01
00
10
10
00
10
10
10
00
10
00
01
10
00
01
10
10
00
00
11
01
00
01
10
11
11
00
01
10
11
10
00
01
00
10
00
00
10
11
00
00
10
11
00
01
10
11
00
10
10
00
00
10
00
01
10
10
10
10
01
01
01
10
10
01
10
11
00
00
11
10
10
10
00
00
00
00
10
10
10
10
10
00
00
01
10
11
00
10
11
10
01
00
00
00
10
11
00
10
11
00
00
10
11
10
11
10
00
00
10
00
10
11
01
00
10
11
00
11
00
10
11
10
00
01
01
10
01
10
00
11
11
10
01
10
10
10
00
00
01
01
11
00
11
01
00
00
10
10
00
11
10
10
00
00
10
10
01
10
10
00
10
11
10
10
00
10
00
10
11
00
00
10
11
00
01
00
01
00
00
00
10
00
00
10
10
10
00
10
10
00
00
01
11
10
00
10
11
11
00
01
10
00
11
01
10
10
10
00
10
00
00
10
00
11
10
10
00
01
10
00
01
10
10
10
01
10
10
01
00
11
10
00
00
00
00
00
10
10
10
00
01
10
11
00
11
00
01
10
11
00
00
01
11
01
00
11
00
11
10
00
10
00
00
00
00
11
01
00
10
00
10
10
11
11
01
00
10
11
11
10
00
00
10
01
10
10
01
11
00
00
00
10
10
10
00
00
00
11
10
10
10
00
10
10
11
00
00
10
00
01
10
00
10
10
00
00
10
11
00
00
11
11
01
00
11
01
00
10
11
11
00
01
10
00
00
00
01
11
10
01
11
10
00
00
00
00
10
01
01
10
11
00
10
11
10
01
10
10
00
00
11
00
11
10
01
00
11
00
10
11
00
00
11
00
00
10
01
00
01
00
10
11
00
01
11
00
10
10
11
00
11
10
01
10
00
10
10
00
10
00
00
00
10
10
10
10
11
01
00
00
11
11
11
00
00
10
00
00
11
10
01
00
10
10
10
10
01
01
10
00
00
00
10
00
10
10
00
10
10
00
11
00
00
11
11
10
10
10
00
10
10
01
10
10
10
00
11
00
01
11
10
00
10
01
11
00
00
10
11
10
00
01
10
11
10
01
00
11
10
11
01
11
01
00
10
10
00
00
11
10
00
10
11
01
10
00
11
00
11
01
01
10
10
00
00
10
10
00
01
11
11
00
10
11
11
11
11
00
00
10
10
11
11
10
00
01
11
00
00
01
11
00
00
01
10
00
01
10
10
00
00
01
00
10
10
10
11
00
00
10
00
10
10
00
01
10
00
00
10
10
00
00
01
00
00
11
11
10
10
00
00
00
01
00
00
10
10
10
00
10
11
01
01
00
00
00
10
00
10
10
00
00
00
01
11
11
10
00
10
01
11
10
01
01
00
10
10
10
11
00
00
10
11
00
01
00
11
10
01
00
00
01
10
11
00
00
11
00
00
10
01
00
11
10
10
10
00
01
00
00
10
10
00
11
00
01
00
11
00
10
01
00
11
11
10
00
10
10
10
00
00
00
01
00
10
01
01
01
01
11
11
10
00
10
11
00
00
11
10
10
00
10
10
00
10
10
00
01
00
01
10
00
10
01
00
00
10
10
00
00
00
00
11
00
01
10
11
01
10
10
00
10
10
10
01
10
11
01
00
00
10
10
10
10
00
00
11
11
01
10
01
10
00
01
10
01
00
11
11
00
00
00
00
10
01
00
11
10
01
10
10
11
00
01
10
10
00
10
10
00
10
11
10
11
11
00
00
01
00
00
11
10
10
00
01
10
11
00
00
10
11
10
01
00
11
00
00
00
11
01
00
01
00
10
11
01
10
00
10
11
11
01
01
00
11
10
10
10
11
00
01
10
11
11
10
10
00
00
11
01
00
10
10
00
01
10
10
00
00
10
00
10
10
01
10
00
00
01
01
00
11
10
01
11
10
00
00
11
10
11
01
11
10
00
00
01
01
10
00
00
11
10
10
10
01
01
00
10
10
10
10
11
00
00
10
10
00
01
10
10
00
11
00
10
11
00
00
10
00
01
10
10
10
00
00
01
00
10
00
10
10
00
10
01
10
11
10
00
01
10
10
01
00
11
10
10
00
00
11
00
10
10
00
00
00
11
10
01
00
11
00
00
01
10
11
00
11
00
10
01
10
10
01
00
11
10
10
00
01
10
00
10
11
10
00
11
00
00
00
10
10
00
00
00
00
01
01
00
00
11
11
10
10
00
10
10
00
00
10
01
00
00
00
10
00
01
10
10
10
00
11
00
10
00
01
11
00
01
00
00
11
10
10
00
00
10
10
00
10
01
01
00
00
10
00
00
11
11
00
00
10
01
01
10
00
00
00
01
01
11
11
00
00
10
11
10
01
00
11
10
01
10
11
00
01
10
01
00
11
00
00
10
10
01
10
00
00
00
01
00
01
10
10
00
01
00
00
01
10
00
00
01
11
00
11
10
00
10
11
00
01
00
10
00
01
10
00
10
10
10
00
11
10
10
01
00
00
10
10
10
00
10
11
00
00
00
00
10
10
11
10
01
10
00
00
01
10
11
10
00
00
11
01
00
11
10
00
00
00
10
00
10
10
00
10
00
10
01
10
00
10
00
01
10
10
10
10
00
11
01
00
10
10
10
01
00
01
01
00
10
11
01
00
00
11
01
00
10
00
00
10
11
11
10
00
00
10
10
00
10
10
10
10
01
01
10
10
01
10
00
11
10
00
11
10
00
00
10
00
00
10
10
00
01
01
01
01
10
00
11
01
00
00
10
10
01
00
10
10
10
00
11
01
10
00
10
10
11
00
01
00
01
10
00
10
10
00
00
10
11
01
00
01
10
11
00
00
01
10
11
10
11
01
10
00
10
00
00
10
11
01
10
00
01
10
11
10
00
01
00
10
10
10
00
01
10
10
10
01
00
00
10
10
10
00
00
11
01
00
01
10
00
10
10
00
00
10
10
00
11
10
01
01
10
00
01
00
10
10
01
00
10
10
10
11
01
00
00
10
00
00
00
00
11
00
00
10
11
00
11
00
11
01
11
10
00
10
10
00
10
11
00
00
10
00
01
01
11
11
01
01
01
00
00
01
11
10
00
00
11
10
10
00
11
10
10
00
00
01
00
01
11
01
10
11
10
10
01
01
01
11
01
01
10
01
01
10
10
11
11
01
11
00
00
00
00
11
00
01
01
10
10
11
01
10
10
00
01
10
01
01
10
10
00
00
10
10
10
01
00
00
00
01
00
10
00
10
01
00
10
10
01
01
10
11
00
01
00
00
11
10
00
01
01
10
10
10
00
01
00
10
10
11
00
00
01
01
10
10
10
00
10
10
00
00
00
11
11
00
11
00
10
01
01
11
00
01
11
11
10
10
01
00
10
10
11
01
00
10
00
00
00
00
10
10
00
00
10
01
10
11
00
00
10
10
10
10
01
00
00
10
00
00
10
00
10
11
10
00
00
10
10
00
01
10
10
10
10
01
00
11
10
10
00
11
00
00
10
11
00
01
00
10
10
11
10
11
01
00
00
11
10
00
01
10
01
11
11
01
11
10
01
00
10
10
01
00
10
10
01
01
10
10
11
10
01
01
01
10
10
10
00
00
10
00
00
10
10
10
00
01
00
10
10
01
10
00
11
00
01
10
10
00
10
01
11
11
10
10
10
11
01
01
10
11
00
11
10
00
00
11
11
11
10
00
00
00
01
11
10
10
11
01
00
00
10
01
00
01
11
01
11
00
10
10
00
10
10
00
00
00
11
01
00
01
10
01
01
00
11
10
10
01
10
10
00
10
11
11
10
00
00
00
11
10
10
10
11
01
00
10
00
00
11
11
00
11
10
01
00
10
11
01
11
00
00
10
00
10
10
00
00
11
10
11
00
00
10
11
11
01
01
10
01
11
10
01
10
11
01
00
10
10
00
00
11
00
00
10
00
11
01
00
10
00
00
01
10
10
10
01
11
11
00
00
01
10
10
01
00
11
00
01
01
10
10
01
01
11
11
11
00
00
10
01
01
10
00
10
11
00
01
11
00
10
01
00
00
10
11
00
10
10
10
11
10
10
00
00
00
00
10
10
11
10
11
00
10
00
00
10
10
00
00
10
10
10
10
10
00
01
10
01
11
10
10
00
10
00
00
10
10
01
00
01
01
10
01
10
11
00
01
11
10
10
00
01
10
10
00
10
10
10
01
00
01
10
00
01
10
01
10
00
10
10
00
01
11
11
10
01
00
10
01
00
01
10
11
00
01
10
10
10
01
10
10
00
01
01
10
01
00
01
01
10
10
00
10
11
00
00
10
01
10
11
11
00
01
01
01
11
10
00
00
10
10
01
00
11
10
11
10
11
10
00
11
10
00
00
01
10
10
10
00
00
10
00
00
00
10
10
10
11
01
00
11
10
10
00
10
00
10
10
00
11
10
10
00
00
10
11
01
00
00
10
00
11
01
10
10
00
00
11
10
01
10
11
10
11
11
10
01
00
10
10
01
00
10
00
01
00
10
10
00
01
11
11
11
10
10
10
01
00
00
11
10
00
00
00
01
10
01
10
11
11
01
11
00
10
11
10
11
00
00
00
00
00
00
10
10
00
00
00
11
00
10
00
00
10
11
00
00
00
00
00
00
01
10
10
00
11
00
10
10
00
00
11
10
00
10
10
11
10
10
11
01
00
10
11
10
10
00
00
01
00
10
10
10
00
00
10
00
01
11
11
11
10
00
01
00
11
11
01
00
11
01
00
00
10
10
10
10
00
01
10
10
00
10
01
10
00
00
00
11
00
10
00
00
10
00
10
00
10
01
10
11
10
00
00
11
10
01
10
10
10
10
11
00
10
10
00
01
00
11
10
10
00
10
00
00
00
00
00
00
10
11
01
11
10
00
10
00
10
01
01
10
10
00
10
11
01
00
10
10
00
10
00
00
10
10
00
10
11
01
00
01
00
10
01
00
10
11
01
01
11
10
00
01
10
11
11
01
00
11
00
10
10
00
00
00
10
10
10
10
01
00
00
10
10
00
11
00
00
11
00
00
10
11
10
00
00
11
11
10
10
00
10
00
10
11
00
01
11
01
11
01
00
11
11
00
11
10
00
00
10
10
01
00
11
11
11
00
10
11
10
10
00
00
10
00
00
10
00
10
01
10
01
11
01
10
01
00
01
00
01
11
10
01
10
00
01
00
11
10
01
10
00
10
00
11
01
00
10
01
10
11
00
00
10
10
00
00
10
11
10
11
11
01
10
00
00
00
10
10
00
00
00
11
11
11
11
00
11
01
01
00
00
10
11
10
00
10
11
00
11
00
01
10
11
10
00
10
11
00
11
00
00
01
00
00
11
11
10
00
01
11
11
10
11
01
01
00
01
01
11
10
00
10
00
00
10
11
00
10
11
10
01
10
01
00
10
01
11
10
00
10
10
10
00
01
11
11
01
00
10
00
11
11
00
00
10
10
00
10
01
01
10
00
00
10
11
00
01
10
11
11
01
01
11
00
11
01
01
00
10
10
01
10
00
00
00
00
11
10
10
10
11
10
01
10
10
00
01
10
01
00
00
10
11
00
11
00
00
10
01
11
10
00
00
10
10
01
00
10
11
00
00
11
10
00
00
10
00
10
11
00
10
00
00
10
11
10
01
00
10
00
00
10
00
00
11
10
10
11
00
10
00
00
00
00
01
00
10
10
11
01
11
00
00
01
10
10
00
11
10
10
00
00
01
10
10
10
01
10
01
11
10
01
01
10
10
01
00
10
10
00
10
10
00
01
11
00
11
01
10
00
01
00
01
01
10
10
00
10
00
01
10
00
10
10
10
11
01
01
11
10
01
10
10
01
01
10
00
00
11
11
00
11
10
00
10
00
00
10
10
00
00
00
10
00
01
10
01
10
11
00
11
10
11
10
00
11
10
11
00
10
10
11
00
11
01
00
10
00
00
11
00
00
10
00
01
11
10
10
01
11
11
10
00
00
00
00
11
10
10
10
00
00
10
11
00
10
10
11
00
00
11
11
00
11
10
00
10
00
10
10
00
00
10
00
10
10
11
00
00
10
00
11
10
10
00
01
11
00
00
10
00
00
10
11
10
10
00
10
10
00
10
10
00
00
10
10
10
10
00
01
10
10
10
10
11
00
10
00
00
00
00
00
10
11
10
10
00
11
00
10
10
10
00
00
11
00
11
10
11
00
10
11
10
10
00
11
00
10
00
10
10
11
00
00
00
11
00
00
00
10
11
01
10
10
00
10
10
01
00
00
01
10
10
00
00
10
00
11
10
01
11
10
10
11
01
00
11
00
11
10
00
00
00
10
00
11
10
11
01
01
10
11
11
10
01
00
01
11
00
01
10
10
00
11
11
01
00
11
00
01
00
10
10
01
11
10
10
10
10
00
00
01
00
10
00
11
10
10
01
01
01
11
11
01
00
00
11
00
00
10
11
01
00
10
01
00
11
10
00
01
10
01
11
10
00
00
00
00
00
00
10
10
10
10
10
01
00
00
10
10
00
01
01
11
00
11
11
10
00
00
00
10
00
10
10
00
00
00
00
00
10
11
01
01
01
01
10
00
01
01
10
11
00
00
10
10
11
11
00
01
10
10
00
00
00
10
10
11
11
01
10
10
10
10
01
00
10
10
10
00
11
00
01
10
00
00
11
11
10
00
01
00
00
00
01
11
11
10
00
00
10
01
00
10
11
01
00
01
10
10
11
11
10
10
10
10
10
00
00
10
01
00
01
10
01
10
10
10
11
00
01
10
11
00
00
01
10
11
00
10
01
10
01
01
00
10
11
10
11
00
01
11
10
00
10
00
01
00
00
00
00
10
11
10
00
00
10
10
10
00
00
10
01
00
00
11
00
11
10
10
11
00
00
11
10
11
11
10
00
00
10
00
11
10
01
00
00
11
10
01
10
01
11
11
10
10
10
01
10
10
00
10
00
00
00
11
11
00
11
01
11
10
10
01
00
10
10
00
01
10
00
00
00
11
10
01
10
10
10
11
10
00
01
10
00
10
00
00
10
00
00
01
11
10
10
10
01
01
00
10
00
01
01
10
01
11
11
10
00
01
00
00
10
11
10
01
00
01
01
01
10
10
01
00
01
00
01
10
10
00
00
01
10
11
11
10
10
00
10
00
01
10
11
11
00
10
00
00
00
01
11
00
10
00
00
01
10
00
00
01
10
10
11
10
00
00
11
01
10
10
10
00
10
00
00
00
10
01
00
10
00
10
00
00
10
00
10
10
00
01
10
10
00
11
10
01
10
10
00
00
10
10
11
00
00
00
11
10
01
00
10
00
10
01
01
00
00
00
10
10
00
01
00
11
10
00
10
11
01
10
10
01
00
01
01
01
10
01
11
10
11
01
10
00
10
00
11
11
01
00
10
00
10
10
01
01
10
10
01
01
11
10
01
11
01
00
00
10
10
10
00
00
00
00
10
00
11
11
10
00
10
00
00
11
11
00
10
11
01
10
10
01
10
00
10
00
00
00
10
11
00
11
01
00
00
10
00
10
10
00
11
11
00
00
11
01
11
00
01
01
00
00
11
10
01
10
10
11
01
01
10
11
00
00
10
10
00
10
01
00
10
10
10
10
01
10
00
00
10
00
01
10
10
10
10
10
10
11
00
00
10
11
10
00
01
00
01
10
00
11
10
01
01
10
11
01
01
10
00
00
10
11
00
10
10
00
01
10
11
01
01
00
01
10
10
00
00
10
10
10
11
10
01
00
10
11
01
10
01
01
10
00
01
00
10
10
00
00
10
10
10
00
00
10
10
00
00
00
00
00
11
00
00
10
01
11
10
10
10
11
01
10
10
01
00
01
00
11
00
10
11
10
00
00
11
00
11
01
00
11
10
01
10
10
00
00
11
10
10
00
10
11
10
00
10
10
10
10
11
10
00
01
01
00
00
01
11
10
11
01
11
01
00
10
11
10
00
00
10
00
00
10
00
00
10
00
10
11
00
00
00
10
11
10
10
01
00
10
00
00
01
10
01
10
01
10
00
00
00
00
10
00
00
10
11
10
00
00
10
10
11
00
00
11
11
10
10
00
01
00
10
11
00
00
00
01
10
10
10
10
00
00
00
10
11
00
10
10
00
01
10
01
01
00
10
00
00
01
10
10
00
10
01
00
00
10
01
00
10
00
00
10
00
10
10
01
10
11
00
11
11
01
01
00
10
00
10
00
00
10
10
00
00
10
10
00
10
00
10
01
10
00
00
00
10
10
11
00
01
01
01
00
10
00
11
11
10
10
01
10
01
00
10
00
10
10
00
00
11
10
00
10
01
00
10
11
01
10
10
00
01
10
11
00
11
00
01
11
00
01
11
10
01
10
11
10
10
00
10
10
00
01
11
00
00
00
00
11
10
00
10
00
00
10
10
10
00
01
10
11
00
00
10
11
11
00
11
11
00
00
00
00
01
11
10
10
01
01
10
01
00
01
10
10
10
10
00
00
11
10
10
10
10
01
00
10
01
10
11
00
10
10
10
10
00
01
10
10
00
11
00
11
10
00
01
00
11
10
00
01
11
10
01
00
00
00
11
10
10
00
00
00
01
11
10
11
10
00
01
10
00
00
11
10
10
10
01
01
00
00
00
00
11
10
10
10
10
00
00
01
01
01
01
10
01
00
10
10
11
00
00
01
10
10
10
00
00
11
00
01
10
00
00
00
10
10
00
00
10
10
01
11
00
11
10
11
00
00
00
10
10
01
10
10
10
00
10
10
10
00
10
01
01
01
10
11
00
11
10
00
00
01
01
10
10
00
10
10
10
11
01
00
10
11
00
10
00
10
11
10
11
00
00
10
00
10
01
00
10
00
10
00
10
00
00
00
10
00
01
11
00
10
10
11
11
00
11
01
00
00
10
11
00
10
01
01
11
10
10
10
11
01
00
01
11
00
01
10
10
00
00
10
10
11
00
00
10
00
10
01
11
11
10
10
01
00
00
01
10
10
00
01
01
10
10
00
00
01
00
10
01
01
00
00
10
10
00
10
10
00
10
10
00
00
01
11
00
01
10
00
10
00
01
00
10
10
10
00
11
10
01
00
00
10
11
10
10
00
11
00
00
11
00
00
10
00
01
00
00
01
10
11
01
00
11
10
11
10
01
00
01
10
10
00
00
00
00
10
11
10
01
00
00
00
10
10
01
00
10
00
10
00
00
11
11
11
01
00
10
00
11
01
11
10
00
10
11
10
10
01
00
00
10
10
10
01
00
00
11
11
11
01
00
10
10
00
00
11
11
00
10
10
00
11
00
00
10
01
00
00
10
10
10
00
11
01
00
00
11
00
11
01
00
10
10
00
10
11
01
10
10
11
01
01
00
00
10
10
01
00
10
01
01
10
01
10
10
10
00
01
10
01
00
10
10
00
00
11
11
00
10
00
00
10
11
01
00
01
00
11
01
10
11
00
01
00
00
10
10
00
10
00
00
10
01
10
11
00
01
01
00
01
11
10
00
11
10
00
00
10
00
01
10
00
10
11
00
10
01
00
10
10
10
10
10
10
01
00
10
00
01
01
10
01
00
11
00
10
10
01
01
10
00
00
10
11
00
10
01
01
10
10
01
10
01
01
00
01
00
00
10
00
10
10
00
11
11
00
01
00
11
10
11
00
11
00
10
01
00
10
10
00
00
10
01
01
00
00
11
10
11
00
01
00
00
00
00
00
11
00
00
00
00
00
10
10
10
10
10
11
00
10
01
00
01
10
11
00
10
10
11
10
01
00
11
11
10
10
10
00
00
01
10
10
00
10
10
01
01
01
10
11
11
11
11
10
01
00
10
10
10
00
00
10
10
11
00
10
01
00
01
11
10
10
10
00
10
00
10
10
00
00
11
01
01
00
00
11
01
00
11
00
10
10
10
00
11
10
01
10
00
11
11
00
00
11
00
10
10
10
10
00
10
01
10
11
00
00
01
00
10
11
10
10
10
00
01
10
01
00
10
00
10
00
01
11
11
00
10
01
00
01
11
10
01
01
10
00
00
10
10
00
01
00
00
11
11
11
00
00
10
01
10
10
11
01
01
00
00
10
00
11
00
01
10
11
10
00
01
10
00
00
10
10
00
00
10
10
00
00
10
10
11
00
01
01
10
11
00
01
01
00
00
11
10
01
01
10
11
01
10
10
10
01
01
01
11
00
10
10
00
01
01
10
10
00
00
10
10
01
01
00
10
10
11
11
10
01
10
10
11
10
10
10
01
01
00
10
01
10
11
10
01
00
00
10
10
10
00
10
11
10
01
11
11
00
11
10
10
00
00
01
11
11
00
01
10
11
10
11
01
10
10
01
10
00
11
10
00
00
01
00
01
00
11
10
01
11
11
00
00
00
01
11
01
00
10
10
01
00
00
00
10
01
11
11
01
01
10
11
01
01
10
10
00
00
10
00
10
00
00
11
10
10
11
00
01
01
11
10
00
10
00
00
11
00
11
01
10
01
00
10
00
10
10
00
10
00
10
10
00
10
10
10
10
10
00
00
01
01
10
00
00
10
00
00
00
00
11
00
01
00
00
10
11
00
10
11
10
11
10
10
10
01
10
00
00
10
00
00
11
01
01
11
00
10
10
11
00
00
11
10
01
00
11
00
01
10
00
00
10
01
01
00
00
10
01
10
00
00
10
10
10
01
00
00
10
11
00
10
10
00
01
11
10
00
00
10
01
10
01
10
11
00
00
10
01
00
10
10
11
11
00
00
00
00
10
11
00
00
01
11
11
00
00
11
11
11
00
00
11
01
10
10
10
00
11
11
11
00
11
00
01
11
10
00
00
11
10
10
01
11
11
01
10
11
10
00
11
10
00
01
10
10
01
00
10
00
00
10
00
01
01
00
10
00
11
00
01
11
11
10
10
10
00
00
10
10
01
00
10
10
01
10
01
00
01
11
10
10
00
00
00
10
11
11
10
00
01
00
00
10
10
00
10
00
00
10
10
11
10
10
10
11
10
10
00
10
00
10
10
00
00
00
10
11
10
01
10
11
00
01
11
11
00
01
10
10
10
00
01
01
01
10
11
00
01
10
11
01
11
10
00
10
10
10
00
10
10
00
10
11
10
00
10
01
00
10
11
10
00
00
10
00
01
01
01
01
00
00
00
01
10
10
11
01
00
00
00
10
00
10
11
00
10
00
00
00
11
00
00
10
01
01
00
10
00
10
10
11
00
00
11
00
11
10
10
01
10
00
10
10
00
00
01
01
00
00
00
11
00
10
10
00
00
11
11
00
10
01
00
00
00
10
11
11
01
01
10
10
00
10
01
01
01
10
11
00
10
00
00
10
10
10
10
00
00
10
01
00
00
01
11
10
01
00
11
10
00
10
00
10
10
10
11
11
01
00
10
11
10
00
00
00
10
00
10
10
00
01
01
10
00
10
11
00
11
11
00
00
00
10
11
01
01
11
00
01
10
10
00
01
10
11
10
00
10
10
01
00
11
01
00
10
01
10
11
10
10
00
00
01
00
11
01
00
00
10
00
10
00
01
10
10
00
00
11
10
00
00
10
10
00
00
10
11
10
00
11
00
11
11
01
00
11
00
00
01
00
10
11
00
00
10
10
11
00
00
10
11
10
10
11
10
11
10
01
01
11
00
10
11
00
00
10
10
01
01
01
00
00
11
00
00
10
10
00
10
00
00
00
11
00
10
11
00
10
11
00
01
01
00
10
10
01
00
00
10
01
10
00
01
10
10
00
00
10
01
10
01
01
10
01
00
00
00
00
10
00
00
10
10
10
11
01
10
10
11
10
10
00
10
10
01
10
11
00
00
10
10
00
11
10
00
00
11
00
00
00
00
10
00
00
10
11
10
00
00
01
11
01
11
11
01
01
01
00
01
10
10
10
01
01
00
00
11
10
00
10
00
00
01
10
10
01
00
00
00
10
10
11
00
10
00
11
10
01
00
01
10
01
11
10
10
01
01
10
11
00
11
00
11
11
00
10
10
10
00
10
10
10
10
00
11
01
00
10
00
00
10
11
00
11
10
10
10
01
10
01
01
10
10
00
10
01
00
10
10
00
01
01
10
00
10
11
10
10
00
01
10
01
01
10
10
10
10
10
01
00
10
11
10
01
01
00
10
00
10
00
10
11
00
11
00
10
00
11
10
00
00
11
11
10
00
00
00
11
11
01
01
01
11
10
00
10
00
01
10
10
00
10
00
00
10
00
11
10
01
00
10
11
00
10
01
01
10
11
00
00
11
11
00
01
10
10
00
00
10
11
00
10
00
10
00
00
00
00
10
10
10
01
00
11
00
00
00
10
11
11
10
00
01
00
00
00
11
10
10
00
11
11
00
10
01
10
00
10
01
10
00
00
10
00
11
00
11
01
10
10
00
00
00
11
11
00
00
10
11
00
01
00
11
11
10
10
00
00
10
11
00
00
10
10
01
11
10
00
01
00
11
00
01
00
11
10
10
10
00
11
10
00
00
01
10
00
10
10
10
10
10
00
10
00
00
01
01
00
01
00
11
11
01
00
11
10
01
10
10
01
10
10
01
01
10
10
11
00
10
00
10
11
00
00
10
11
00
01
10
10
01
00
10
00
00
10
00
11
00
00
10
00
01
10
01
01
00
11
10
10
10
11
11
00
01
00
00
00
01
01
11
01
01
11
10
00
00
11
10
00
00
10
10
00
10
10
01
10
10
11
01
00
00
10
11
00
10
11
01
10
11
00
00
10
11
00
00
11
11
00
11
10
10
00
00
11
01
00
11
00
11
10
00
01
10
00
01
11
11
11
00
10
00
01
10
10
00
00
00
11
10
01
10
10
10
11
10
01
00
10
10
00
10
10
11
00
01
01
10
00
10
01
00
10
10
10
01
00
00
01
10
10
00
00
10
11
00
01
00
00
10
01
10
11
00
00
00
00
01
11
01
10
11
11
01
10
00
01
11
10
00
10
01
10
10
00
00
10
01
01
11
10
10
00
00
11
00
10
11
10
00
00
10
11
01
01
00
01
00
00
00
00
11
00
00
10
00
01
01
01
11
10
10
11
00
00
00
11
10
10
01
01
10
00
01
10
00
10
00
01
00
10
11
11
10
00
00
10
00
00
10
10
00
01
10
00
01
00
00
11
00
00
01
00
10
10
10
00
10
10
10
11
00
11
01
10
11
11
01
11
10
00
10
00
00
11
10
00
10
11
10
00
00
00
10
10
00
00
00
01
01
10
00
11
10
10
00
00
00
10
01
11
00
00
10
00
01
11
11
00
00
10
11
00
01
11
10
00
01
00
10
10
01
01
11
10
11
01
11
10
00
00
10
00
01
10
10
10
00
10
00
01
01
10
00
00
00
10
00
00
10
10
00
00
00
11
01
11
00
01
10
00
10
10
00
01
00
10
11
10
10
10
10
00
01
11
00
01
00
00
11
10
01
00
00
00
11
11
10
10
01
10
11
01
01
00
10
10
10
01
00
00
00
11
11
10
10
01
00
01
10
00
11
10
00
01
10
00
00
00
00
11
11
11
10
00
01
00
11
10
11
00
01
00
10
11
00
00
10
10
01
10
11
01
01
10
10
11
00
00
10
10
01
11
00
00
11
10
10
11
11
00
00
10
00
10
10
10
10
00
00
00
00
00
11
11
10
10
10
11
00
00
11
10
01
01
00
01
10
11
10
00
00
10
00
10
00
01
11
10
11
11
00
11
00
10
00
00
10
00
11
10
00
00
11
10
11
01
01
11
00
00
00
11
00
10
10
00
00
10
10
11
01
10
10
01
00
01
00
10
00
11
01
01
01
10
10
10
00
00
00
10
11
11
10
00
00
10
11
10
00
00
01
11
00
01
10
10
00
00
10
00
00
00
00
10
00
10
00
00
11
10
10
00
10
01
01
11
00
11
10
00
01
10
10
01
00
01
01
10
11
00
11
01
01
11
10
01
11
11
00
00
10
10
01
10
10
01
10
00
00
10
10
11
10
00
00
10
00
11
11
00
10
01
10
00
10
01
11
01
10
11
11
10
00
00
10
11
00
00
01
00
10
01
10
11
01
00
01
01
11
00
10
10
11
01
01
11
10
11
00
01
01
00
11
11
00
00
01
10
01
10
10
00
00
01
10
10
00
01
10
00
01
01
00
10
10
11
01
01
10
11
00
00
00
10
10
10
00
00
01
00
10
10
11
11
10
00
00
01
00
00
10
11
00
10
00
10
11
10
10
00
01
00
11
00
10
10
11
00
01
00
10
10
10
00
01
01
00
11
10
11
00
10
11
10
00
00
10
10
10
00
00
01
11
00
01
10
01
10
11
01
01
10
10
10
01
00
11
01
00
00
10
00
11
10
00
00
10
00
10
10
00
11
10
00
00
00
00
01
10
11
00
10
00
10
01
10
10
00
00
01
11
00
00
11
10
10
11
10
00
01
10
10
00
11
00
11
11
00
00
11
10
00
00
10
11
10
01
10
00
10
00
11
10
00
00
01
11
10
00
00
01
10
11
11
01
00
10
00
10
10
00
00
11
10
10
01
11
01
10
01
01
11
10
00
00
11
10
00
10
11
00
01
11
00
01
11
01
00
10
10
00
00
10
10
00
10
11
10
01
11
01
01
00
10
10
00
10
11
01
00
10
10
00
01
10
11
00
11
00
10
00
00
00
11
10
01
11
00
10
00
10
10
11
11
01
00
10
10
10
01
10
10
01
00
00
00
10
10
01
00
00
00
00
01
01
10
11
00
10
00
00
01
10
10
01
00
10
10
01
10
10
00
01
01
00
10
10
00
00
10
01
10
00
01
10
00
01
00
11
10
01
00
00
00
11
00
00
10
10
10
10
00
10
00
10
00
00
10
00
11
11
00
11
11
00
01
10
01
00
10
01
11
01
01
11
10
10
00
10
10
00
00
11
11
00
01
00
00
10
00
10
00
00
11
11
01
00
01
00
11
01
11
10
00
00
00
01
10
10
01
00
10
00
01
10
01
00
10
10
00
10
00
00
10
10
01
01
10
01
10
10
10
10
00
00
11
10
00
11
00
10
01
11
10
00
00
00
00
10
00
00
11
10
11
00
01
01
11
10
00
01
10
00
01
01
11
10
01
11
00
00
00
10
11
11
11
01
10
10
10
10
01
00
10
00
00
11
00
00
10
00
11
01
01
11
01
01
00
11
10
10
00
01
10
11
01
00
00
10
00
00
00
10
10
00
01
00
10
00
11
10
00
10
11
01
01
00
11
01
00
10
00
10
00
00
11
10
01
01
01
10
10
10
10
10
01
01
11
10
11
10
10
10
10
11
00
01
00
00
00
01
01
11
10
01
10
10
10
11
10
00
10
11
11
00
01
01
11
11
00
11
00
00
11
10
00
00
11
11
01
00
01
01
00
01
10
00
00
11
10
00
00
10
11
00
11
10
01
01
00
11
01
00
01
10
10
00
00
10
11
11
01
10
10
10
10
01
01
10
11
01
00
00
11
00
00
10
10
10
10
00
10
01
00
00
00
00
00
01
01
00
10
10
00
11
00
10
10
00
00
00
10
00
10
11
01
10
10
00
00
00
10
10
11
01
10
00
00
00
11
01
10
11
00
10
11
00
01
01
01
10
00
10
10
00
01
00
10
00
10
10
00
00
10
01
00
11
10
00
10
00
01
11
10
01
00
00
10
00
00
10
10
01
00
00
00
00
10
00
00
01
00
00
11
00
10
10
00
00
00
10
00
10
00
00
11
10
10
00
10
00
11
11
00
00
10
00
00
00
00
11
00
10
11
00
11
01
10
01
10
11
01
00
11
10
00
01
00
10
00
01
10
10
10
01
10
10
10
10
00
11
10
00
10
11
11
01
01
00
10
01
11
10
10
01
00
10
11
10
10
01
01
01
01
00
10
10
00
00
00
00
01
10
00
00
10
10
10
00
00
00
10
01
11
01
00
00
10
11
01
00
00
10
00
01
10
11
00
10
00
10
11
10
11
00
00
00
10
00
10
00
11
11
01
00
11
00
10
11
01
11
00
11
10
10
00
00
00
00
11
11
00
00
10
00
11
00
10
11
01
01
10
00
00
00
11
01
10
00
10
01
10
11
00
00
00
00
11
10
01
00
10
01
11
00
00
10
10
10
00
01
10
11
10
01
01
01
10
10
10
00
11
11
10
01
00
10
10
00
00
00
10
11
11
01
00
10
10
10
00
00
00
11
00
10
00
11
11
00
10
10
00
11
10
01
10
00
11
10
10
01
01
10
00
10
01
00
10
00
00
10
10
10
00
01
11
10
01
00
11
00
01
11
11
00
01
10
10
00
01
11
11
00
10
10
10
10
00
00
00
11
10
00
10
10
11
10
00
10
01
10
11
00
00
00
10
10
01
00
10
00
10
10
00
01
10
00
11
11
00
00
00
10
10
00
00
00
11
11
00
11
00
00
11
11
00
11
01
01
10
00
00
00
01
10
01
10
10
10
10
00
00
10
11
00
00
11
11
11
11
10
00
10
00
10
00
00
10
11
01
10
10
00
10
11
10
00
01
10
10
00
10
00
00
10
11
10
10
00
01
11
10
10
00
10
10
00
00
00
10
10
11
00
00
10
11
00
10
01
10
11
11
10
00
00
10
11
00
00
10
10
11
10
00
01
01
01
10
01
00
00
01
11
01
10
11
11
11
10
10
00
00
01
01
10
10
00
00
11
10
00
11
01
01
11
11
10
00
00
00
10
11
00
00
01
10
10
01
10
00
11
10
00
11
11
00
01
01
01
00
11
10
10
10
00
01
10
00
01
10
10
00
01
10
10
10
00
10
01
01
10
10
00
10
10
00
00
10
00
10
00
10
10
11
00
10
10
01
10
10
10
10
00
00
00
10
00
00
01
11
10
11
10
00
11
10
00
01
00
10
00
01
11
01
01
11
11
11
10
10
01
01
11
11
10
00
00
11
01
01
11
11
00
01
10
11
00
01
10
00
10
10
10
01
10
10
10
00
10
00
01
01
11
00
00
11
10
00
10
11
01
00
01
11
00
10
11
01
00
10
10
00
00
11
00
11
01
10
10
01
00
10
11
00
00
10
00
10
00
01
11
10
10
10
10
10
10
10
00
00
00
10
11
01
10
00
00
00
10
10
10
00
00
01
10
10
11
00
10
01
10
10
11
00
00
00
00
11
10
00
10
10
00
00
11
10
01
00
00
00
00
10
10
11
00
00
11
00
01
10
11
10
00
00
00
00
10
10
11
01
01
10
11
10
10
10
10
11
00
00
00
00
00
00
00
10
11
11
00
10
01
11
10
00
00
10
10
00
10
00
00
10
00
00
10
01
00
00
10
11
11
00
00
10
00
00
10
01
00
11
00
01
10
10
11
10
01
00
10
11
00
00
10
10
01
10
00
00
00
10
00
11
10
10
00
11
01
00
10
11
00
10
10
00
11
10
01
00
00
00
10
00
00
00
10
11
00
00
11
00
10
10
01
00
00
10
10
11
11
00
11
10
00
01
00
01
00
11
10
10
01
10
11
00
00
10
01
10
10
00
11
00
00
01
01
01
00
00
10
00
01
11
10
00
01
10
00
10
11
10
10
10
00
00
00
00
11
10
01
00
11
10
00
10
11
01
01
00
10
01
00
10
00
01
10
11
01
00
00
10
10
10
00
01
01
00
11
10
00
00
10
10
11
10
01
00
11
00
00
10
10
00
00
10
10
01
00
10
00
00
10
10
10
00
00
10
01
01
10
01
00
11
10
10
10
10
10
01
10
10
01
01
11
11
01
00
11
00
10
10
10
01
00
10
00
00
01
10
10
01
00
00
00
11
00
10
10
11
00
00
01
10
10
00
00
00
00
10
10
10
11
10
11
00
00
00
10
10
00
01
10
10
00
11
00
11
11
00
00
10
00
10
11
01
00
01
10
10
00
00
10
01
10
11
11
00
00
11
10
00
10
11
00
01
01
10
11
10
11
00
10
00
00
10
10
10
00
01
00
11
01
00
10
00
10
10
01
01
01
11
10
10
01
11
00
00
11
10
10
11
10
10
00
00
00
00
10
00
01
11
10
01
00
10
10
11
00
00
11
00
10
10
00
01
01
01
10
10
11
10
10
10
00
00
10
10
11
00
11
10
10
00
01
10
00
11
10
01
00
01
01
10
00
11
10
01
01
10
00
10
10
00
00
00
11
00
11
00
10
11
11
10
00
00
01
10
00
10
10
00
00
00
10
11
00
11
10
11
00
00
10
10
01
00
01
11
00
10
00
00
00
00
10
11
10
10
00
10
00
10
11
00
10
00
10
00
01
00
11
01
00
01
10
10
01
10
00
10
11
01
10
10
00
10
00
01
11
11
11
00
00
11
10
11
10
00
00
01
10
00
00
10
00
01
00
00
00
10
10
00
11
11
11
01
11
00
10
11
10
10
00
10
00
10
10
01
00
10
11
10
00
00
10
10
01
10
11
11
00
01
00
00
10
11
01
10
00
00
10
10
11
10
00
01
11
11
01
00
11
00
00
10
00
11
10
01
00
11
00
10
10
00
00
10
00
00
10
11
00
10
00
00
00
00
00
00
10
11
00
10
01
00
10
00
10
10
00
00
01
00
11
00
01
00
11
11
11
10
00
11
10
10
10
00
01
10
00
10
01
10
00
00
10
00
01
00
11
01
10
00
10
10
01
01
01
10
10
00
01
00
01
00
10
00
10
11
00
00
11
10
01
10
10
00
00
10
11
00
00
00
11
10
01
01
01
10
00
11
00
10
10
10
00
11
10
10
01
10
01
10
11
10
10
11
11
01
01
00
10
01
00
10
00
01
11
10
10
00
10
11
10
11
11
11
10
10
00
10
10
01
00
10
00
11
00
01
11
10
00
10
00
10
10
00
00
11
10
10
00
11
11
10
01
01
01
00
00
00
10
00
01
10
10
10
10
01
00
11
00
00
00
01
00
10
01
00
11
00
10
10
00
11
11
11
01
11
11
11
10
00
01
10
11
11
00
00
00
10
00
10
11
10
00
00
11
00
00
10
00
11
10
00
00
00
00
01
10
00
00
11
11
00
00
10
00
10
00
00
10
00
11
01
01
01
11
10
11
11
00
01
10
10
00
11
11
01
10
10
10
00
11
10
00
01
11
01
01
00
10
10
11
10
00
00
01
00
00
10
11
10
01
01
01
10
00
01
00
10
10
00
01
10
11
10
00
00
10
10
00
11
01
11
00
01
00
11
00
10
00
00
10
01
00
10
10
00
00
00
01
11
00
00
00
10
11
00
01
10
00
11
00
01
11
10
01
10
10
00
01
10
00
01
10
00
00
10
10
10
00
10
00
00
10
01
11
10
01
00
01
10
00
11
10
00
01
00
00
11
11
10
10
01
00
10
10
10
00
00
11
00
11
00
00
11
01
00
10
00
00
10
00
11
10
01
01
01
10
00
00
10
00
10
00
00
10
11
10
00
01
00
01
10
10
00
11
01
01
10
10
11
11
01
00
10
11
10
00
10
00
01
01
00
11
01
11
10
10
10
10
00
00
00
10
10
10
10
10
10
00
00
01
01
00
11
10
01
11
00
10
10
00
10
00
00
00
00
10
00
11
01
00
00
10
10
00
11
11
10
00
00
01
10
00
11
01
01
10
00
10
10
00
11
00
00
10
00
00
00
00
10
10
10
01
10
11
00
00
11
11
00
01
01
10
01
10
11
00
10
10
01
01
00
10
00
10
10
11
11
11
00
10
00
10
00
00
11
10
10
10
00
00
00
01
11
10
10
11
10
01
10
10
00
00
10
01
00
00
00
11
10
00
00
00
00
10
10
00
01
00
01
11
10
10
10
00
10
10
00
00
11
01
10
10
11
10
01
10
10
00
10
00
00
00
10
10
00
01
00
11
00
00
10
01
01
01
00
10
10
00
10
00
00
11
01
01
10
00
10
01
00
01
10
10
10
00
00
01
00
11
00
00
01
10
00
00
00
00
00
00
11
10
00
01
10
10
10
00
01
10
00
10
01
00
00
10
00
01
10
10
11
01
00
11
10
10
00
10
01
00
01
00
10
01
10
11
00
10
00
11
00
10
11
00
00
00
10
11
01
10
01
00
10
10
00
00
11
10
10
00
10
00
00
00
10
11
11
10
11
10
10
11
01
00
00
10
10
00
10
11
01
01
00
00
01
01
00
10
11
00
10
00
01
10
10
01
10
11
10
11
00
01
01
01
00
00
10
10
00
00
10
10
00
10
10
00
10
10
11
00
10
10
00
10
00
01
11
10
01
00
10
10
00
11
10
01
00
10
01
10
00
00
10
11
01
00
00
10
00
10
10
00
11
00
01
00
10
01
10
00
10
10
00
10
00
10
10
10
10
11
11
01
00
00
01
11
01
00
11
10
01
10
10
10
10
10
01
01
00
11
01
01
10
10
00
01
10
11
11
01
01
01
10
00
10
10
00
00
00
10
00
10
00
01
00
11
00
11
10
00
10
10
01
00
10
10
00
01
10
11
01
10
10
11
10
11
11
01
10
01
00
00
00
10
11
00
10
11
11
10
01
00
00
11
11
11
10
00
00
11
10
10
10
00
01
00
01
10
01
00
10
01
10
00
00
01
10
11
00
01
00
00
00
10
01
10
10
11
10
10
01
10
00
10
10
01
01
10
00
10
00
10
00
00
11
00
00
10
10
11
01
00
10
11
10
10
01
10
01
10
10
00
01
11
11
01
01
10
00
00
00
10
10
01
00
10
00
11
01
00
00
01
01
10
00
10
10
01
11
10
10
01
10
01
01
11
00
01
11
11
10
00
00
11
01
01
01
10
00
01
01
10
10
00
00
10
11
00
11
00
10
10
10
00
00
00
10
00
00
11
01
00
10
01
00
00
11
10
01
00
10
01
01
01
11
11
00
11
00
00
10
11
10
01
01
00
00
10
00
10
10
00
01
11
00
10
01
00
11
10
00
10
11
10
10
00
00
00
10
10
00
10
01
11
00
01
10
11
10
11
01
00
11
11
10
01
00
10
10
11
01
01
10
10
10
01
01
10
01
01
11
10
10
10
01
00
10
10
00
01
10
00
00
11
00
10
00
00
00
10
10
11
11
10
10
11
10
01
00
10
00
00
10
11
10
11
00
01
00
10
01
10
10
10
00
01
00
10
11
01
11
00
11
00
00
10
10
11
10
00
00
00
00
00
00
10
00
10
01
00
01
11
01
10
01
11
11
10
01
01
11
00
00
10
00
01
11
01
00
11
10
00
10
00
00
10
00
10
10
01
10
00
01
00
10
10
11
01
11
10
01
01
10
10
10
01
00
11
10
11
01
00
00
00
10
00
10
11
00
00
10
10
00
00
10
11
01
00
01
01
01
11
10
11
01
00
10
00
01
11
00
00
00
10
00
00
10
10
00
00
10
00
00
01
11
10
10
00
00
01
11
00
10
10
01
11
10
10
00
01
10
10
10
01
00
01
00
11
11
01
10
10
10
01
10
10
00
00
10
00
01
11
00
01
00
00
10
10
00
00
10
11
00
00
00
01
00
10
00
00
10
01
00
10
00
10
10
01
00
10
10
00
10
10
01
11
11
00
11
00
11
11
00
01
10
11
11
10
00
01
10
10
11
00
11
10
10
10
00
11
10
00
00
00
10
10
10
00
00
10
10
01
10
01
00
00
10
00
00
10
10
00
00
10
01
01
11
00
10
10
00
00
10
10
00
01
01
01
00
01
10
11
01
00
00
00
00
10
10
01
11
01
00
00
00
10
00
01
10
10
11
10
01
00
10
10
10
00
10
10
00
11
01
00
10
00
11
01
10
10
01
11
10
00
00
10
10
00
00
10
10
10
10
00
10
11
11
11
10
01
11
10
00
00
00
10
00
11
11
01
01
00
11
00
11
00
10
10
10
10
00
10
10
01
00
11
01
11
00
00
01
11
00
00
11
01
00
11
10
00
10
11
00
11
10
01
01
11
00
00
10
11
10
00
11
10
10
00
01
00
00
10
01
01
01
11
11
00
10
10
10
10
11
01
00
01
00
10
10
01
01
10
10
10
11
00
01
10
01
10
00
11
00
10
00
01
11
10
11
01
10
10
00
10
10
10
01
00
00
00
11
11
10
10
10
01
10
11
00
10
11
10
01
10
00
00
00
00
10
00
01
01
10
11
00
01
11
00
01
01
00
10
00
00
01
00
10
10
01
11
11
00
01
11
10
01
00
00
00
10
11
00
10
10
00
00
11
10
00
00
11
11
10
00
01
01
00
10
10
10
00
00
10
00
10
10
10
00
10
00
10
10
00
01
11
10
10
00
10
00
11
11
01
10
10
00
00
00
11
00
01
00
11
00
10
11
00
01
11
10
00
10
10
10
11
00
10
00
10
10
01
00
10
10
01
10
10
10
00
10
00
00
10
01
01
00
00
00
10
01
10
11
10
00
01
00
11
10
01
01
00
11
00
00
10
10
10
10
10
00
00
00
01
01
01
10
10
01
01
00
00
11
00
00
00
11
11
01
11
00
00
10
10
00
00
10
10
10
10
10
00
00
00
01
00
00
00
00
00
10
00
11
10
10
11
00
10
01
00
11
00
01
00
00
11
01
11
01
01
11
00
01
10
10
00
11
10
01
11
00
01
10
11
01
01
11
11
01
11
10
01
01
10
11
01
00
00
00
11
10
01
00
11
01
01
11
10
11
11
10
00
00
10
00
11
00
10
11
00
11
11
11
01
10
10
11
01
00
10
11
01
00
00
00
10
01
00
10
01
00
11
01
00
10
00
00
10
10
10
01
11
10
01
01
00
10
10
00
00
00
10
10
00
00
11
01
00
11
10
00
11
10
01
01
10
10
11
00
10
11
01
10
11
10
00
11
10
00
00
11
10
01
10
10
01
00
01
10
00
00
01
00
10
01
01
01
11
01
11
01
11
10
00
00
10
10
00
00
11
00
00
01
00
00
01
11
10
00
00
00
00
00
10
10
00
10
10
10
00
10
11
10
01
00
10
00
01
11
10
10
00
11
00
10
00
00
10
00
11
10
10
11
10
01
10
11
00
11
00
10
10
01
10
10
01
01
00
01
11
01
00
10
10
01
01
10
01
10
11
01
10
01
10
00
01
00
10
10
00
00
01
00
10
10
01
00
01
10
00
10
11
10
11
01
10
11
00
00
10
10
00
10
10
01
10
00
00
00
11
10
00
10
11
10
00
00
10
10
00
01
10
00
00
00
01
00
10
10
01
10
00
10
10
10
00
10
11
00
01
10
10
10
00
00
00
00
11
01
11
01
10
01
00
00
10
10
01
00
00
01
10
10
00
10
11
11
11
01
10
00
10
01
10
10
00
00
10
00
11
00
00
00
00
11
01
00
10
10
00
00
00
10
10
11
00
10
10
10
00
11
00
00
10
00
01
10
00
00
10
11
11
10
00
00
00
00
10
10
11
10
00
01
11
00
01
10
00
00
11
10
00
10
00
00
00
11
11
10
01
11
10
01
10
11
00
00
10
01
00
10
00
00
11
00
01
10
00
10
00
01
00
11
10
10
10
11
00
00
01
11
01
10
00
11
11
01
00
00
10
00
00
01
11
11
01
01
10
00
11
10
01
10
00
00
10
00
11
00
10
11
10
11
00
01
01
10
00
00
10
10
11
01
11
00
00
10
10
00
00
00
00
11
10
00
11
11
00
01
00
00
10
01
10
10
01
10
10
01
10
00
00
10
01
10
11
00
10
11
10
00
11
11
00
11
00
00
10
01
00
00
10
10
00
00
01
11
00
11
00
10
10
10
10
00
00
10
11
00
10
10
01
00
10
00
00
00
00
00
10
00
00
10
00
10
10
00
00
01
01
11
11
11
11
01
11
10
01
00
10
11
11
00
10
01
00
11
11
00
11
11
00
00
10
11
11
00
00
00
10
10
00
00
10
11
01
00
00
11
00
00
01
10
10
01
11
01
10
11
01
10
00
00
11
11
00
01
00
11
11
10
11
00
01
10
00
00
00
11
10
00
11
10
10
01
10
10
10
11
01
00
00
11
01
00
01
10
11
10
10
11
01
00
10
10
00
00
11
10
10
11
10
00
01
01
00
11
10
11
00
01
11
11
10
00
11
10
10
01
00
10
00
00
11
00
10
00
00
10
01
11
00
01
01
01
00
10
00
10
00
01
10
10
01
10
00
10
00
00
00
11
11
00
11
10
10
00
00
00
11
10
01
00
11
00
00
01
10
00
11
11
00
00
00
10
11
11
10
01
10
00
10
00
00
01
10
10
00
01
00
10
11
10
00
10
00
00
10
10
10
00
01
10
00
00
00
10
00
00
10
11
00
00
00
10
01
00
11
00
00
00
00
10
00
00
10
00
10
11
00
11
10
01
00
10
00
00
01
10
00
00
10
00
11
10
00
10
00
01
10
11
11
10
00
10
10
10
11
00
00
11
10
01
01
00
10
10
00
01
01
11
11
00
10
10
01
10
01
01
11
11
01
10
00
00
10
10
11
00
11
01
01
01
01
00
11
00
10
10
00
10
01
00
10
01
00
11
10
00
00
10
10
00
00
11
10
10
00
10
00
11
10
00
11
11
01
00
01
10
10
00
01
10
11
01
00
00
00
00
10
00
11
10
10
00
10
00
01
01
10
00
01
00
11
00
01
10
00
00
00
01
10
10
11
00
00
00
01
11
00
01
00
10
10
00
10
10
10
01
01
00
11
10
11
00
10
00
01
00
10
10
01
10
10
00
00
11
10
00
10
10
11
00
01
00
11
10
00
00
00
01
10
10
00
00
00
11
00
00
11
11
01
10
11
00
00
10
01
11
10
01
01
10
01
00
10
00
10
10
01
00
10
00
11
00
00
10
00
10
11
00
01
01
00
10
11
01
00
11
11
10
10
01
00
01
10
10
11
00
01
10
10
00
00
00
01
11
10
00
00
01
00
01
00
10
00
10
10
01
00
10
01
00
11
11
00
10
01
01
00
10
10
00
01
10
10
10
01
00
10
10
10
01
11
00
00
00
10
10
00
10
10
10
00
01
01
10
11
00
00
10
11
00
10
10
01
00
01
10
10
00
10
01
01
11
00
10
10
10
00
01
10
11
00
01
10
11
10
01
10
10
10
10
10
00
00
11
00
10
01
01
10
10
00
00
11
00
10
11
01
01
01
10
11
10
01
01
00
10
10
01
10
10
01
10
10
00
11
00
00
10
10
00
00
11
10
00
10
01
10
01
01
10
00
00
10
10
10
01
00
10
10
10
00
00
00
10
11
00
10
10
10
01
10
10
00
01
00
10
00
10
00
00
11
10
10
11
10
00
00
10
01
01
10
00
01
01
00
01
11
10
00
10
10
01
00
11
00
01
01
00
11
10
10
00
10
10
00
10
01
10
11
00
10
00
10
00
10
00
00
10
01
00
00
01
01
11
01
11
01
10
11
11
11
00
10
10
00
11
11
00
00
10
10
01
11
10
00
00
11
00
11
10
10
10
01
01
11
10
00
00
00
10
01
00
10
10
00
00
10
01
10
10
11
00
00
10
00
00
01
00
00
00
10
10
10
00
10
10
00
01
00
10
10
00
00
10
10
10
01
00
10
00
00
11
00
10
10
00
10
01
11
10
01
00
00
10
10
00
00
10
11
11
00
11
00
00
00
10
10
11
00
01
11
11
00
10
10
11
00
01
00
10
10
00
00
01
00
10
11
10
10
10
10
10
01
00
01
10
11
01
00
10
10
10
00
10
10
00
00
10
00
10
10
10
00
11
01
10
10
00
10
10
11
11
01
10
10
00
00
00
10
10
01
00
00
01
10
00
00
10
00
01
00
10
10
10
01
00
10
10
10
00
10
00
00
01
11
00
11
01
00
01
00
10
01
11
01
00
11
10
00
00
10
10
10
00
00
11
01
11
10
00
11
00
10
01
00
11
11
01
00
00
10
10
00
01
01
11
10
10
10
11
11
01
00
11
11
01
11
11
11
00
11
11
01
01
10
00
00
10
10
11
01
01
10
00
01
10
11
10
01
10
01
11
11
00
01
00
10
10
11
00
01
10
10
10
00
01
10
00
00
10
10
00
01
01
00
10
00
01
00
11
10
10
00
10
11
01
00
10
01
00
10
10
00
10
00
10
00
10
00
10
01
01
01
01
01
00
11
10
01
00
10
11
01
01
11
01
11
10
11
00
00
11
01
01
10
10
00
11
10
01
00
10
10
01
00
00
10
00
01
11
00
01
00
01
01
01
11
10
01
00
01
00
11
10
00
11
10
11
00
00
00
01
10
10
10
00
10
10
01
00
00
00
01
10
10
11
00
01
10
11
00
11
10
00
00
01
00
11
10
10
10
00
10
00
00
00
10
10
10
11
01
11
01
11
11
01
00
10
10
01
00
10
11
00
10
00
00
10
11
10
00
10
00
10
11
10
00
00
10
00
00
01
00
11
10
00
01
11
00
11
10
00
10
10
00
10
11
01
01
11
11
01
11
10
00
00
10
11
11
11
01
11
00
10
00
11
10
11
00
01
10
11
01
10
00
00
10
11
11
01
10
10
00
01
10
11
01
01
10
00
11
11
10
01
10
10
10
00
00
10
11
00
11
10
00
10
01
00
01
00
10
10
10
10
10
00
00
10
10
00
10
00
00
10
10
00
01
01
01
01
11
00
01
00
11
10
00
00
10
10
01
10
00
00
00
01
10
01
10
01
01
10
10
10
00
00
00
10
10
01
00
00
00
00
00
10
10
01
10
00
01
11
11
01
11
11
10
00
10
00
10
11
00
00
10
11
00
01
00
00
01
10
10
01
00
11
01
10
00
10
00
00
00
00
10
10
00
10
00
01
11
10
10
10
01
01
11
00
00
10
01
10
10
01
00
10
10
01
11
10
10
00
11
00
01
01
01
00
11
10
11
00
00
10
11
01
10
10
01
10
10
10
11
10
10
00
00
00
10
01
10
00
00
00
00
01
10
00
00
01
10
11
10
10
00
10
01
10
00
00
00
00
11
11
01
11
00
10
10
00
00
00
11
10
01
00
01
10
10
11
01
00
11
01
01
00
00
00
00
10
10
11
00
10
10
01
10
00
00
10
10
11
01
10
11
01
00
11
00
01
10
00
01
01
00
10
01
00
10
10
00
01
01
10
00
00
11
01
11
10
10
00
00
10
11
00
00
11
01
10
10
00
00
01
00
10
11
10
11
00
00
01
10
10
00
11
10
00
10
00
10
10
00
00
00
01
10
01
11
00
00
11
00
10
00
01
00
00
10
00
10
10
01
10
01
10
11
11
01
11
01
01
10
11
00
11
11
00
00
00
11
01
10
00
00
00
11
01
00
10
10
00
00
01
00
00
10
10
10
10
10
10
00
10
10
10
10
11
01
10
10
01
11
11
11
00
10
11
00
10
11
01
01
11
10
00
00
11
01
01
10
10
00
01
10
10
00
00
00
10
11
00
11
01
01
11
01
10
10
01
10
10
01
01
11
00
00
11
00
00
00
00
11
00
00
10
11
00
00
10
10
00
01
00
00
00
00
11
11
00
00
01
10
11
11
00
10
10
00
00
11
00
00
10
00
10
10
11
10
10
10
00
10
00
01
10
00
00
00
10
01
00
00
00
01
10
00
10
10
01
11
00
00
10
00
00
10
11
01
11
00
00
00
01
01
10
11
01
11
00
10
10
01
01
10
10
00
00
00
00
11
00
01
10
01
00
00
11
00
10
10
00
11
11
01
00
11
10
10
11
00
00
10
10
10
11
00
11
01
00
10
10
10
00
01
10
10
00
01
01
11
00
00
10
10
00
10
11
10
10
10
00
00
11
10
11
00
01
10
11
00
00
10
00
00
11
10
11
10
00
01
00
01
11
01
01
11
11
00
11
11
10
01
00
10
01
00
11
00
10
10
00
00
00
11
10
00
01
00
00
11
11
01
10
11
01
11
00
01
11
10
00
10
00
00
10
11
01
00
01
00
10
11
10
10
00
00
10
11
00
01
01
11
00
10
10
00
10
10
10
00
01
10
00
10
11
10
00
00
10
10
10
10
01
10
10
11
10
11
10
10
10
00
00
10
10
01
00
01
00
10
10
00
11
00
11
01
10
10
00
10
10
00
01
10
01
00
00
00
10
10
00
11
10
10
11
00
10
00
10
00
10
00
10
01
10
11
10
01
00
10
10
10
10
01
10
01
01
10
10
00
10
10
10
00
00
10
10
00
10
11
10
11
01
01
01
11
00
00
01
10
11
00
00
01
00
10
00
01
10
10
10
00
10
00
01
00
01
01
00
01
00
10
11
00
01
11
01
11
11
11
10
01
01
10
10
00
01
10
11
00
11
01
11
00
11
01
00
11
10
01
00
00
11
11
00
10
00
11
10
11
11
10
00
11
10
00
00
00
10
01
00
10
00
01
11
10
01
10
00
00
11
10
00
01
00
01
00
10
10
01
00
01
00
10
01
10
00
00
01
10
01
00
11
10
00
01
01
00
10
00
11
10
00
10
10
00
00
11
10
10
01
00
11
11
00
00
00
00
10
10
00
11
10
01
10
01
00
00
01
00
10
11
11
00
00
10
10
10
00
11
01
00
00
00
10
00
11
00
10
00
11
10
10
00
00
10
11
00
01
10
01
00
10
00
00
01
10
10
11
10
00
00
01
11
11
10
01
11
00
11
10
00
10
10
00
01
10
01
10
10
10
10
00
00
00
10
01
00
10
01
11
10
00
11
11
01
11
00
00
00
00
00
00
10
11
10
00
00
00
00
11
11
00
10
01
10
00
10
00
10
10
10
01
01
10
00
00
10
10
00
11
11
11
01
10
00
10
10
11
01
01
10
10
10
10
00
11
10
01
00
10
11
10
00
00
00
10
00
00
00
00
10
10
10
01
10
11
10
01
10
11
00
01
10
10
00
00
00
10
00
01
00
10
00
00
11
10
11
10
01
00
00
10
00
01
11
10
10
00
11
10
11
01
01
00
10
11
01
00
10
00
11
10
11
01
00
01
10
00
10
00
00
01
00
11
11
01
10
01
00
10
01
00
00
10
00
11
00
00
10
00
11
10
10
01
11
10
10
10
10
00
00
01
11
10
11
10
10
00
11
11
10
10
00
00
00
00
11
01
00
10
11
11
11
01
10
10
00
00
10
01
11
11
10
11
00
10
00
11
11
10
00
00
11
10
10
01
01
00
00
00
10
10
10
10
00
10
10
10
10
10
10
10
01
10
10
11
10
11
01
00
00
00
10
00
00
01
10
10
10
10
11
00
00
00
10
01
00
10
01
00
10
11
10
11
10
10
01
00
00
10
10
00
01
00
00
01
10
01
11
00
10
11
10
10
01
00
11
11
10
00
00
00
01
00
11
11
10
00
00
00
11
10
00
00
01
01
10
10
10
01
01
11
00
10
00
10
00
00
10
10
00
10
01
00
01
01
00
10
00
10
00
10
10
00
01
00
10
01
00
10
01
01
11
00
11
00
11
00
10
00
00
00
10
10
10
11
01
00
00
01
10
10
10
10
00
10
11
00
11
11
01
10
00
00
00
00
10
10
01
10
10
00
11
10
01
10
11
10
10
11
00
00
10
10
00
00
01
11
01
00
10
11
10
00
10
00
01
10
11
10
01
00
10
11
00
00
10
00
01
00
10
10
00
10
01
01
10
11
11
01
11
01
00
01
00
10
10
10
11
10
10
11
00
00
00
00
10
00
10
01
00
10
01
01
10
01
00
00
10
00
01
10
10
00
00
11
10
00
11
10
00
10
10
00
00
01
11
11
00
00
01
00
01
00
00
10
00
00
10
10
01
11
10
00
01
01
10
10
00
10
00
10
11
00
01
10
00
10
10
00
11
11
00
10
00
01
01
11
10
11
01
11
10
01
01
10
11
00
00
10
01
00
11
10
00
10
00
01
11
10
11
10
10
00
11
10
01
00
00
00
11
11
11
00
01
10
00
10
10
10
10
00
01
00
01
00
10
00
10
00
01
10
10
01
00
00
01
11
10
10
00
10
10
00
00
11
00
00
01
11
11
00
11
10
10
01
00
11
10
00
00
11
10
00
01
00
10
01
10
10
10
10
10
00
00
11
10
00
00
10
10
10
00
10
00
10
00
00
01
00
10
00
10
01
11
01
01
01
11
10
01
10
11
00
00
10
01
10
11
00
00
00
11
11
00
11
00
00
10
00
10
00
11
10
10
11
10
00
00
10
00
00
10
10
00
10
11
10
10
00
11
10
10
00
10
10
01
01
01
10
10
11
10
10
10
01
10
01
00
10
00
01
00
11
10
00
10
00
00
10
00
10
00
00
00
00
10
00
01
01
10
10
10
10
00
10
01
10
01
00
01
10
10
10
00
10
11
10
11
10
00
00
00
11
10
10
01
10
01
00
10
10
01
00
10
11
10
00
00
00
10
00
11
00
01
11
11
00
10
00
10
10
00
01
10
10
00
10
00
11
11
00
01
10
00
00
11
10
01
10
11
00
00
10
11
10
11
00
10
01
00
00
00
10
10
10
10
11
10
01
00
00
00
01
11
11
01
01
01
10
11
00
00
10
10
10
00
00
10
00
11
11
00
00
10
00
11
00
00
00
10
11
11
00
01
10
01
01
10
10
11
00
00
10
10
01
11
00
01
10
11
00
10
10
10
10
01
00
10
00
01
01
00
00
00
10
11
11
10
10
10
10
10
01
10
10
01
00
10
00
10
00
00
00
01
00
00
11
00
10
00
01
11
10
10
10
00
00
00
01
01
00
10
11
00
01
01
11
00
11
00
00
10
11
00
01
00
10
00
00
00
10
01
01
01
10
00
11
10
11
10
01
00
00
01
10
00
00
01
10
11
10
01
00
10
01
01
01
11
11
01
11
00
00
10
10
00
00
00
10
10
01
01
00
11
00
10
10
01
11
10
10
00
10
11
01
10
00
00
11
00
00
10
01
00
00
00
10
00
10
11
11
10
00
00
00
10
10
10
00
00
11
01
10
00
00
00
11
00
10
00
11
10
00
10
00
11
01
11
11
00
00
01
10
00
00
10
01
00
00
10
11
01
10
00
10
00
01
10
01
01
10
01
00
01
10
00
00
11
11
10
10
00
11
10
00
00
11
10
01
10
11
01
10
00
00
01
10
11
00
00
01
11
01
00
00
10
11
01
00
10
10
00
10
11
10
10
00
10
00
11
01
00
11
10
00
00
01
00
10
10
10
11
01
00
01
00
00
00
10
00
00
11
10
00
00
10
00
00
00
00
00
10
00
10
11
01
00
10
10
11
01
10
10
11
00
00
11
10
00
01
01
11
00
01
10
10
01
10
10
00
00
11
00
00
01
10
10
10
10
10
10
00
00
10
10
00
10
01
10
10
01
10
10
00
00
11
01
10
10
00
00
10
00
10
01
00
10
10
00
00
11
00
01
10
11
11
11
11
01
10
10
00
00
00
10
10
00
01
10
00
10
00
00
01
01
10
10
10
10
11
11
10
00
01
10
11
01
00
11
11
10
10
01
00
11
11
00
11
11
10
11
11
00
00
11
11
10
01
01
10
01
10
10
00
10
00
10
10
10
00
00
11
00
11
00
11
00
11
10
00
10
10
00
01
11
10
00
01
10
01
11
11
00
00
11
00
00
10
00
01
10
10
11
00
01
10
11
01
10
11
00
11
10
00
01
10
00
00
00
11
11
00
00
10
10
11
10
11
01
00
10
10
00
10
10
00
01
11
01
11
11
10
01
00
11
10
00
11
10
10
00
11
10
00
00
11
01
00
10
00
00
10
10
00
01
01
10
11
11
11
10
11
11
11
10
01
00
00
00
10
11
00
00
00
00
10
10
00
01
10
10
11
00
10
10
00
00
00
01
11
00
11
01
10
01
00
00
10
11
00
10
01
01
10
10
10
01
00
10
00
00
10
11
00
10
01
01
10
01
01
10
00
11
00
01
00
10
00
11
10
10
11
01
10
11
00
10
00
00
10
01
00
00
10
11
10
01
00
01
01
10
11
01
00
10
00
00
00
01
10
10
10
11
11
01
00
10
01
00
10
11
00
00
01
10
00
00
10
00
11
00
00
10
10
00
01
10
11
00
00
10
00
00
10
11
00
10
11
01
01
10
00
10
00
00
11
11
01
00
10
10
11
01
11
00
01
10
10
10
10
00
00
10
11
00
01
11
10
01
00
10
01
00
10
00
01
11
11
00
00
00
11
10
00
01
00
00
10
11
10
10
10
00
10
10
00
00
11
00
10
01
10
10
01
10
10
11
01
00
01
11
10
11
10
00
10
00
01
11
11
00
01
10
00
11
10
00
00
01
11
11
01
11
11
11
00
00
01
10
11
10
00
00
11
01
11
11
00
00
00
10
10
00
01
10
11
11
01
00
10
10
00
00
10
11
00
11
10
00
11
10
00
00
10
10
00
10
10
11
10
10
01
01
00
11
00
00
00
11
00
10
00
01
10
00
10
10
00
11
00
10
10
00
10
01
10
00
01
10
10
10
10
10
10
10
00
01
00
00
10
10
01
01
00
01
00
10
00
00
00
00
11
10
10
01
10
10
00
00
10
10
01
00
00
10
00
01
11
10
10
11
00
10
11
11
11
10
01
00
10
10
10
00
00
10
00
00
10
00
01
00
10
11
10
01
10
00
01
00
01
00
10
11
00
10
10
01
00
11
01
00
11
00
11
00
10
00
10
10
01
10
11
11
10
01
00
11
01
01
10
00
01
10
00
01
11
11
01
00
10
10
10
00
10
10
00
10
00
11
00
00
10
10
00
00
00
10
10
00
11
11
00
01
10
01
01
11
10
00
01
10
00
10
10
00
10
10
00
10
00
01
00
10
11
00
10
00
00
11
01
00
00
01
00
11
01
11
00
00
11
11
00
01
10
00
11
10
00
10
01
00
00
10
00
00
10
00
10
00
00
00
10
10
11
01
00
11
00
00
10
10
00
10
01
01
11
00
10
00
01
10
10
10
01
11
01
00
10
11
00
01
10
11
00
01
10
10
10
10
10
00
11
10
00
00
10
00
10
00
10
00
00
11
10
11
00
10
10
00
01
00
00
10
10
00
00
00
10
01
10
11
11
01
00
01
01
11
01
00
10
10
00
01
00
10
11
10
11
01
00
01
00
10
01
11
11
10
10
01
00
10
00
00
10
01
00
10
10
11
10
00
01
01
10
01
00
01
10
00
01
11
11
10
00
00
10
00
10
10
00
00
10
00
00
01
10
11
00
00
00
10
10
01
00
11
10
00
11
11
01
00
10
10
00
01
11
01
10
11
11
00
11
11
11
10
00
01
10
10
00
10
11
00
01
01
10
10
10
11
00
00
10
10
00
00
10
01
00
11
11
00
00
10
10
00
00
11
10
01
00
00
11
11
10
00
10
11
00
01
11
11
01
00
10
10
10
00
01
10
00
11
10
10
10
11
00
10
10
10
11
10
10
00
01
10
11
01
10
11
01
10
11
10
00
01
10
10
00
11
10
10
10
10
00
00
10
01
01
10
01
10
00
01
00
11
00
00
10
10
10
00
10
10
10
10
00
10
11
00
10
00
01
10
10
10
01
00
11
01
11
00
10
11
10
00
00
01
11
10
11
10
10
11
11
00
00
00
11
10
11
10
01
00
11
01
00
10
11
00
00
10
00
00
00
00
10
10
11
11
10
11
10
10
10
10
00
00
10
10
01
00
11
10
10
10
01
00
10
00
00
00
00
00
00
00
10
11
10
11
11
00
01
11
00
10
10
00
00
00
10
10
01
11
10
11
01
01
01
01
10
00
10
00
10
10
00
00
10
10
01
11
10
00
00
00
01
10
10
10
10
01
10
10
01
10
01
00
01
10
00
10
11
10
11
10
01
00
10
01
00
11
00
00
11
01
00
01
00
11
00
10
11
00
10
10
10
11
00
00
00
11
10
10
00
10
11
11
10
00
00
10
10
10
10
10
00
00
01
00
00
01
10
11
00
01
01
10
10
10
00
01
00
10
11
01
10
00
11
01
01
11
00
00
00
01
10
11
00
11
11
00
00
10
00
01
11
00
00
00
00
00
00
10
10
00
00
10
11
00
00
00
00
00
10
00
10
00
11
11
00
11
10
01
00
00
11
00
10
11
11
00
00
11
00
10
10
00
01
10
10
01
10
00
10
01
10
00
01
10
11
00
00
10
11
01
00
01
10
00
01
00
00
11
10
00
10
00
10
01
01
00
10
00
10
00
11
10
00
10
10
00
10
01
00
00
11
00
01
01
01
00
10
11
01
00
00
11
10
10
00
10
00
01
10
11
10
10
01
10
11
00
10
10
00
10
01
11
11
10
01
00
01
01
11
10
00
01
10
10
10
00
01
00
00
10
10
00
10
00
00
11
01
01
10
00
10
00
00
00
10
10
10
10
11
11
00
10
10
10
10
10
00
00
11
00
10
00
11
00
11
11
01
00
10
11
10
10
01
00
11
01
11
10
01
00
10
01
01
10
01
00
10
01
01
10
01
00
11
10
10
00
00
00
10
01
01
10
10
10
00
01
10
11
00
00
11
01
00
01
00
10
00
10
10
10
01
00
11
10
10
01
00
11
00
10
10
10
10
11
11
00
10
10
00
00
11
10
00
10
00
10
10
00
10
01
00
10
11
00
10
01
00
10
11
01
10
11
11
10
11
00
00
11
10
00
11
00
01
10
00
10
01
10
10
11
01
00
10
00
11
10
01
01
00
00
00
00
01
00
10
00
10
01
11
00
00
00
10
10
10
10
00
11
11
00
00
01
00
10
01
11
00
00
00
10
10
10
10
11
00
11
10
10
00
01
01
11
11
00
01
00
01
10
10
01
00
01
01
00
10
11
10
10
00
01
00
00
01
10
10
10
10
01
00
00
00
11
10
11
00
00
00
01
00
10
01
10
00
10
10
00
00
00
10
11
11
00
00
10
10
00
00
10
10
11
00
01
00
00
00
10
11
00
10
10
01
11
00
10
10
10
01
00
10
00
11
10
00
10
11
00
01
01
00
00
10
10
00
00
11
11
10
01
10
10
01
10
01
11
01
00
00
10
00
01
10
10
10
00
10
01
00
11
11
00
10
00
11
00
10
11
00
01
10
01
10
00
01
10
10
00
01
10
00
10
00
10
10
00
10
00
00
10
00
10
10
11
11
10
10
01
11
10
00
00
10
10
11
00
11
01
11
11
01
00
00
11
10
10
00
00
11
00
11
11
00
01
00
10
11
01
00
01
10
00
10
00
11
01
00
10
00
00
11
01
01
10
10
01
01
10
10
00
01
11
00
10
10
11
11
00
00
00
10
10
10
11
10
00
00
10
01
00
10
00
00
11
11
10
01
10
10
00
11
11
11
00
00
01
00
00
00
01
11
01
00
10
11
01
00
10
00
00
11
11
11
01
01
11
10
00
01
10
11
11
01
00
00
11
00
10
11
00
10
10
11
01
00
11
11
10
00
00
00
01
11
10
01
00
00
00
10
10
10
00
01
00
11
00
10
00
10
10
00
10
10
10
00
00
10
00
00
11
10
10
10
00
00
10
01
00
00
00
10
11
10
01
01
10
11
10
10
00
00
10
00
00
10
10
00
00
10
00
10
01
10
11
01
00
10
10
10
00
01
11
10
01
10
10
00
00
01
10
00
01
10
10
10
00
11
11
01
00
10
10
00
00
00
10
11
00
00
10
11
00
00
00
10
10
00
00
01
11
11
10
01
01
00
00
10
10
11
01
11
10
11
00
01
00
10
10
10
11
00
10
00
00
00
00
00
00
00
00
11
00
11
10
00
10
00
10
00
00
10
10
00
00
00
10
01
01
10
01
00
11
00
11
10
10
10
01
11
10
10
00
00
10
00
01
00
10
01
00
11
11
10
10
01
01
00
10
11
01
00
10
11
10
10
10
01
00
00
11
00
00
10
11
01
00
10
10
10
01
10
00
10
10
10
10
01
00
01
10
11
10
10
00
00
01
10
00
11
11
00
10
10
10
11
00
11
00
00
00
00
00
01
10
00
00
00
00
10
01
00
10
11
00
00
10
10
10
10
01
01
00
10
11
10
01
00
00
10
01
10
01
11
10
00
10
10
10
10
00
01
01
00
11
00
01
10
11
10
00
00
01
11
00
00
11
00
10
00
10
10
00
10
10
01
00
10
11
10
01
00
01
10
00
10
11
11
10
00
01
00
10
00
01
10
01
10
10
00
11
10
00
00
00
00
11
10
00
10
00
00
00
11
11
01
10
10
00
10
01
01
10
10
01
01
10
10
10
00
00
10
11
00
01
10
10
10
00
01
00
00
10
00
01
10
01
10
00
10
01
01
00
10
10
10
11
00
00
11
11
00
00
00
01
10
00
10
11
00
00
00
01
00
01
00
01
10
00
00
11
10
00
11
00
10
01
10
10
10
00
00
00
10
00
10
00
10
00
00
00
10
00
00
01
11
10
00
00
10
10
00
00
10
10
10
01
00
11
10
00
10
00
00
11
00
00
11
01
11
10
00
01
01
10
10
10
00
00
10
10
10
00
00
00
00
10
00
01
10
11
01
01
01
10
10
10
11
00
00
10
11
10
10
01
01
11
10
10
00
01
11
10
00
00
00
01
10
11
00
01
00
00
11
10
10
10
00
00
00
10
10
11
11
00
10
01
11
00
01
11
00
01
00
10
11
00
01
01
00
00
11
00
10
00
00
10
11
00
00
00
00
01
10
11
10
00
01
10
11
00
00
10
00
10
00
11
10
01
01
01
01
11
10
10
00
10
11
10
10
00
00
10
01
01
11
00
10
11
01
10
01
00
00
00
00
00
00
01
11
11
10
01
10
00
00
10
00
00
00
10
10
00
11
00
11
11
00
00
10
00
11
10
10
00
10
10
00
10
11
10
11
01
10
01
10
10
00
01
10
11
01
00
01
00
01
10
00
10
11
11
01
00
10
00
10
10
00
00
11
11
00
10
10
00
11
00
01
11
01
11
10
10
11
10
10
00
01
01
00
00
00
01
00
00
10
10
00
11
00
10
01
01
10
10
11
01
00
10
01
10
10
00
00
11
00
00
00
01
01
00
10
10
11
00
01
00
10
11
10
00
00
11
00
10
11
00
10
10
10
10
00
10
01
10
00
00
00
11
00
01
00
00
00
10
10
00
01
11
10
01
10
10
10
01
00
01
10
10
00
11
00
00
11
11
11
01
10
10
01
00
10
11
10
10
00
10
11
00
00
10
00
10
11
10
10
10
01
10
10
00
01
10
00
00
10
01
00
00
10
10
01
00
11
01
00
01
11
10
10
10
00
00
10
10
00
00
10
11
10
00
01
11
00
10
10
10
00
00
00
00
00
00
10
10
11
00
01
10
00
01
00
00
10
00
01
10
01
00
00
00
00
11
00
00
11
10
01
10
11
00
00
01
01
01
10
10
00
11
00
00
10
11
00
00
11
10
11
11
10
01
00
01
11
01
01
10
01
00
10
10
00
00
01
11
11
00
11
00
10
00
00
11
10
10
01
00
11
10
01
00
00
01
11
10
11
10
00
10
10
00
00
11
11
11
10
00
10
11
00
10
10
00
11
01
10
10
00
10
00
00
00
01
01
01
00
00
00
10
01
10
10
00
00
11
11
10
01
00
11
01
00
00
00
10
10
00
00
11
10
00
11
10
00
11
10
01
01
01
01
00
01
11
10
01
10
10
01
00
11
10
10
10
10
11
00
11
01
01
00
00
10
00
01
11
10
10
10
01
00
11
10
00
00
10
00
10
10
00
11
10
11
00
00
10
11
10
00
00
10
11
00
00
00
11
00
10
11
00
01
01
00
11
01
00
00
10
10
00
01
00
10
10
01
10
01
10
10
10
10
00
10
11
01
10
00
01
00
10
00
00
10
11
00
00
01
10
00
01
11
10
10
10
01
01
01
00
10
00
11
01
10
10
00
01
11
10
11
00
10
01
00
10
00
10
11
11
11
00
00
11
00
01
11
01
01
10
11
10
01
01
00
11
00
11
11
01
10
00
10
01
00
11
00
00
10
01
11
10
00
01
11
11
11
00
10
00
10
10
01
00
00
00
10
10
00
11
11
11
10
00
10
10
11
01
00
10
11
00
00
00
01
00
10
10
00
00
01
00
11
01
01
00
10
00
10
10
00
01
11
01
01
10
11
11
00
10
00
11
10
10
00
01
11
11
10
00
00
00
00
00
11
11
00
00
10
10
00
11
11
01
01
10
10
10
11
11
00
00
00
00
10
11
00
10
00
00
00
10
00
01
00
10
00
11
11
11
00
10
10
00
10
10
01
00
00
10
10
11
01
11
11
10
00
00
01
10
11
00
01
11
11
00
00
10
10
00
01
00
10
01
00
10
11
10
11
01
11
00
00
00
00
00
00
10
11
00
00
00
10
00
10
00
10
00
10
10
00
00
10
11
11
11
00
00
10
10
01
10
10
00
01
10
00
11
00
10
11
10
10
10
00
10
00
10
10
01
00
10
01
00
00
10
10
00
10
10
11
11
10
10
10
00
01
11
01
01
10
10
11
01
10
11
01
00
10
10
00
10
11
01
00
00
11
10
10
11
01
00
11
11
10
11
00
10
10
01
00
11
10
00
10
01
10
11
11
00
01
01
00
10
00
00
10
10
10
00
00
11
11
11
10
00
00
00
00
11
10
00
00
11
10
11
01
01
10
00
01
10
00
10
00
00
10
00
10
10
00
11
00
11
10
01
00
10
11
10
11
10
10
00
11
10
10
11
00
11
10
10
10
00
01
10
00
10
01
00
01
11
11
01
10
00
01
00
11
10
00
00
11
00
00
10
10
01
01
00
01
01
11
00
11
10
11
00
00
00
10
10
10
11
00
01
00
11
11
11
00
10
00
01
10
10
01
00
00
00
10
00
01
10
10
11
00
00
11
10
10
01
00
01
00
00
10
11
01
00
10
10
10
10
01
10
10
10
10
10
10
01
00
00
10
10
11
10
10
00
00
10
01
00
11
01
00
10
00
01
10
00
00
11
10
11
00
10
10
00
01
00
10
10
00
00
11
11
10
10
10
10
10
11
10
01
00
00
00
10
11
00
10
11
00
10
11
10
01
10
10
01
10
11
00
00
10
10
00
10
00
00
10
00
00
01
11
01
00
10
01
01
10
10
10
00
00
00
10
10
01
00
10
10
00
01
10
00
11
11
00
00
01
01
00
01
01
10
00
11
10
00
10
10
00
01
10
10
10
00
00
10
10
10
10
01
00
00
00
01
10
10
10
11
01
11
10
01
10
10
11
00
01
11
10
00
00
10
00
10
11
11
11
00
10
10
01
00
11
11
00
10
10
10
10
10
00
10
10
10
10
11
11
01
10
00
01
10
10
00
10
11
10
00
00
00
10
10
10
01
10
00
10
11
00
00
10
11
00
01
10
10
10
01
01
11
11
00
01
10
01
00
00
00
00
00
00
00
10
11
01
10
10
00
01
00
10
10
11
00
10
01
00
11
00
01
10
10
00
00
00
11
01
00
00
00
10
00
00
10
10
10
01
00
10
00
00
10
10
00
00
00
00
00
11
01
11
10
00
00
11
10
00
00
10
10
01
10
00
11
10
00
10
00
00
11
10
11
10
00
00
11
00
00
11
11
11
01
00
10
11
01
10
10
01
00
00
00
10
00
00
10
00
11
11
10
00
00
00
11
00
01
11
00
00
00
00
01
10
10
00
10
10
00
01
01
10
11
10
10
11
11
11
01
10
11
10
01
00
11
10
00
10
11
01
01
10
10
01
10
10
01
00
11
01
11
00
10
01
10
00
00
10
00
00
10
11
00
11
11
00
00
10
00
01
10
11
10
11
00
11
00
11
10
01
10
10
10
00
00
01
10
10
01
00
11
11
10
00
00
10
00
00
01
11
00
01
10
11
00
10
11
00
01
01
01
10
10
01
01
10
11
00
01
10
01
00
00
10
10
10
00
10
10
10
00
11
11
10
10
01
10
00
00
10
11
00
11
01
00
10
10
10
00
00
10
10
01
11
11
00
10
00
11
01
00
10
00
10
00
00
10
00
01
10
01
10
01
01
10
00
10
10
00
10
00
10
01
00
01
00
00
00
10
11
00
00
11
10
00
01
00
00
11
11
10
00
01
10
10
00
00
10
01
00
10
11
10
10
10
11
11
01
00
00
10
10
00
00
10
10
01
00
00
10
00
01
00
10
11
00
11
10
10
00
00
11
10
10
00
01
10
00
01
10
00
00
10
00
00
10
10
10
10
00
00
00
00
00
10
11
10
10
10
10
11
01
00
10
00
00
11
10
01
00
10
00
00
01
01
11
10
11
10
01
01
01
00
10
10
01
00
10
10
00
11
10
01
01
01
11
10
11
11
10
00
00
00
10
00
00
10
00
10
10
00
10
10
10
10
10
10
01
10
11
10
10
00
10
01
01
01
00
11
00
11
01
00
10
10
00
01
00
10
11
10
01
00
00
10
00
00
11
00
01
10
11
01
11
00
00
10
11
00
00
10
10
11
01
01
00
01
00
10
00
00
10
10
00
00
11
10
10
01
11
11
10
01
11
00
10
00
00
10
01
00
10
00
01
00
01
10
11
11
01
01
00
10
10
11
00
10
10
00
00
11
01
01
10
11
11
01
11
01
11
10
01
00
01
10
10
00
01
10
10
10
01
00
00
01
00
00
10
10
10
00
10
10
11
01
10
01
11
10
01
10
10
00
10
10
00
10
10
00
01
01
10
00
10
10
00
00
10
01
11
10
11
10
10
10
00
00
00
11
11
01
10
01
00
11
00
11
10
00
00
01
11
11
10
00
10
11
01
11
11
00
01
00
00
10
00
00
00
11
11
11
01
10
10
10
11
00
00
10
10
11
00
01
01
00
00
10
00
10
10
00
11
01
10
00
10
10
10
01
00
10
10
01
10
10
10
01
10
11
01
01
11
11
01
10
00
00
11
10
10
00
00
11
00
11
00
10
10
00
01
11
01
00
11
11
01
00
00
10
10
11
01
00
10
01
10
00
10
10
10
10
00
00
10
10
10
10
01
00
10
00
11
00
00
11
00
00
10
10
00
00
11
10
01
00
10
10
00
10
00
00
10
11
00
10
11
10
10
11
00
10
10
10
00
10
00
00
00
10
00
11
00
00
10
00
10
00
01
11
11
01
00
10
00
10
11
10
01
01
00
11
10
10
11
00
01
10
10
00
00
11
01
11
10
11
00
00
01
00
11
00
00
10
11
01
11
00
11
10
01
10
01
00
11
11
10
00
00
01
01
11
11
10
10
01
10
10
10
00
10
10
00
01
00
11
01
11
00
00
00
10
10
10
00
00
11
00
01
10
00
10
10
00
10
10
00
10
00
00
11
01
00
10
10
01
00
01
11
11
01
10
10
00
10
00
10
10
00
10
00
11
01
11
00
10
00
00
10
00
10
10
00
00
01
00
00
11
11
00
01
10
10
01
01
00
11
10
01
11
11
00
10
10
01
00
00
10
10
01
01
10
10
10
00
00
00
00
00
10
00
00
10
00
10
10
10
10
11
10
10
00
00
10
01
01
11
00
00
00
10
10
10
01
01
11
10
00
01
10
00
10
01
01
01
01
11
00
00
00
00
10
11
10
01
00
00
10
11
10
10
10
10
10
10
10
01
00
10
10
00
10
10
01
00
10
10
11
00
01
00
01
00
11
00
11
10
00
00
10
00
00
00
00
10
10
10
01
00
10
00
01
00
00
00
11
10
00
00
11
10
00
10
00
00
10
11
00
00
00
10
11
10
01
00
10
01
00
10
11
10
00
01
11
10
10
10
01
11
00
01
10
01
10
10
00
10
10
00
00
10
00
00
10
10
00
00
01
00
00
10
00
00
10
10
01
10
00
11
10
01
10
10
00
11
00
01
00
01
00
10
10
11
11
10
10
00
10
11
10
00
00
10
11
01
11
01
01
10
00
10
10
11
01
10
10
00
00
10
10
00
00
10
00
01
01
10
10
01
10
11
11
10
01
01
11
00
00
00
10
01
00
11
10
01
01
10
00
10
10
10
00
00
11
00
01
00
10
00
00
00
10
11
01
11
11
10
01
10
00
00
10
00
10
10
01
10
10
10
01
10
10
10
00
00
10
11
00
00
10
10
11
00
01
00
10
00
11
00
01
00
10
10
01
00
10
10
01
01
00
10
01
00
00
11
00
10
11
00
00
10
10
01
10
10
00
10
10
00
01
00
11
00
00
10
11
10
00
01
01
10
00
00
11
10
00
11
00
10
01
00
00
10
00
10
00
10
00
00
00
11
01
01
01
00
00
10
11
00
01
10
10
11
01
01
11
00
00
01
11
00
10
11
00
10
10
00
00
01
10
11
10
00
00
11
01
10
10
00
11
01
11
00
01
10
10
10
01
01
00
11
10
00
10
01
01
10
00
00
00
00
01
00
00
10
11
00
01
11
11
10
10
10
00
10
11
00
00
10
01
11
00
10
11
01
01
11
11
10
01
10
10
10
00
00
00
10
11
10
11
00
00
10
11
00
01
00
11
00
00
00
10
10
01
10
11
10
00
10
00
00
10
00
01
00
00
11
11
01
00
10
11
00
01
00
10
10
01
00
01
01
00
10
11
11
00
11
11
01
01
11
10
11
01
00
11
10
00
00
00
11
10
00
00
01
00
10
11
00
01
10
10
10
00
10
11
00
00
10
11
00
10
01
10
00
11
10
11
11
00
11
11
00
01
00
10
10
00
00
10
10
00
11
00
00
01
00
00
10
10
10
00
00
00
11
00
10
10
00
10
11
10
10
10
01
00
10
01
00
11
00
11
10
11
00
00
10
11
10
11
00
10
00
10
00
00
11
11
11
11
11
00
00
01
01
01
11
10
00
00
01
11
00
00
11
00
00
00
10
10
11
01
01
11
11
01
10
10
01
00
10
11
00
10
10
01
11
10
01
10
00
01
01
00
10
11
01
01
00
00
00
10
10
00
00
10
10
01
10
10
10
10
00
10
00
11
10
00
01
00
01
10
00
00
10
10
11
11
00
11
00
10
11
00
00
10
00
11
00
00
10
00
11
01
10
01
10
10
00
01
00
10
00
00
01
10
01
00
00
11
00
00
11
10
00
00
00
01
10
00
01
00
11
00
10
11
00
10
10
00
01
10
00
00
01
00
10
01
10
11
01
10
01
11
10
01
10
10
00
11
00
11
00
10
10
01
00
00
11
10
10
01
00
01
11
00
00
00
10
11
11
00
01
10
10
01
10
11
00
10
10
00
10
01
11
11
11
00
00
10
10
00
00
00
10
10
11
11
10
11
10
10
01
00
10
00
00
11
00
00
00
00
00
01
11
10
10
11
01
00
10
00
00
10
10
11
00
11
10
11
01
10
11
00
10
10
00
00
01
11
11
01
01
00
11
00
10
11
10
01
00
10
10
00
01
00
00
11
10
01
00
11
10
01
10
11
10
01
10
11
11
00
10
00
00
10
11
01
01
11
00
11
10
00
10
10
00
01
10
00
01
00
10
01
00
00
00
10
11
11
01
00
00
11
11
10
00
11
00
00
10
00
00
11
11
01
11
11
00
01
10
00
00
11
00
01
10
00
00
10
00
11
10
10
10
01
01
00
00
10
00
01
10
00
10
10
00
11
11
11
11
11
10
10
00
00
10
11
01
01
01
10
11
10
10
00
10
10
01
10
01
00
00
11
10
10
10
10
00
00
01
11
00
10
11
00
00
10
01
10
00
10
10
00
01
00
11
00
10
00
10
00
00
10
00
11
00
11
10
01
00
01
10
10
11
00
00
10
00
00
00
10
01
00
00
00
10
10
00
10
11
00
10
11
00
00
10
00
00
00
11
10
11
00
11
00
10
00
01
10
10
01
00
10
01
10
00
00
00
00
10
00
10
01
00
11
00
00
10
01
11
00
00
11
10
00
00
11
10
00
00
11
10
11
10
00
10
10
00
11
10
01
10
10
10
01
00
01
11
00
10
10
11
00
10
10
01
11
00
00
10
10
01
11
01
00
10
10
00
11
11
01
11
00
00
10
00
00
00
10
11
10
00
00
10
11
10
10
10
01
10
01
01
00
00
00
01
00
00
10
10
11
10
10
11
00
00
10
00
00
00
01
00
00
11
11
10
11
00
00
10
00
10
10
10
00
11
10
11
10
11
10
00
00
01
01
11
01
01
10
10
00
00
00
10
10
10
00
11
01
11
10
00
11
10
11
00
11
10
10
00
01
10
00
00
10
10
00
10
10
01
00
00
00
00
10
00
11
10
10
01
11
00
10
10
00
11
11
01
10
00
11
10
11
10
00
10
10
10
01
11
11
00
00
00
10
11
00
00
10
10
00
00
01
10
10
10
10
01
10
11
10
10
01
00
10
00
00
10
10
00
11
10
00
00
01
01
10
01
10
00
11
10
01
10
10
00
11
00
11
11
11
10
00
10
10
00
10
00
00
00
10
00
00
01
11
01
10
01
10
10
10
00
00
10
10
00
00
11
00
00
11
11
01
01
10
10
10
10
01
10
11
11
10
01
00
01
10
01
00
11
00
00
01
00
01
10
11
00
10
10
00
00
11
11
10
01
00
00
01
11
10
10
00
11
00
00
00
00
11
01
11
11
01
00
10
10
00
01
10
10
01
11
00
00
00
11
10
01
10
00
10
10
00
00
01
11
10
11
00
11
00
10
01
00
00
10
11
00
01
01
01
11
10
00
00
10
10
00
01
10
11
11
01
10
10
00
10
10
01
11
00
10
01
11
11
11
00
10
00
11
00
00
10
10
11
00
10
11
10
00
00
01
00
10
10
01
01
10
11
10
11
00
10
10
00
11
01
00
00
00
10
00
01
10
10
01
00
10
11
11
10
00
01
00
10
10
10
00
00
10
11
10
00
00
00
01
00
01
11
10
11
00
10
11
10
00
01
11
10
11
00
10
10
00
10
01
00
11
00
01
01
11
00
01
00
10
11
00
00
10
10
11
10
00
10
00
10
01
10
10
10
10
10
00
00
10
00
01
10
11
00
10
01
11
01
10
10
01
00
00
00
11
10
11
01
00
00
10
00
01
00
00
10
10
11
10
10
10
00
10
01
00
11
01
01
00
00
00
11
10
10
10
01
10
00
10
00
10
00
11
11
00
10
10
10
01
00
10
00
01
00
10
10
10
11
00
10
01
00
11
11
11
01
00
00
01
10
10
10
00
01
00
10
11
00
10
10
01
10
00
10
00
01
11
01
00
10
10
01
01
00
10
10
10
10
10
00
00
10
10
10
10
00
10
10
10
01
10
01
00
11
00
00
10
00
11
00
01
10
11
01
10
01
10
01
01
01
11
11
10
00
11
00
00
10
00
00
00
00
11
10
10
10
11
11
10
00
00
00
11
11
01
10
10
00
00
00
11
10
00
11
10
00
11
11
11
11
10
00
00
11
10
00
00
10
11
00
00
11
11
11
01
01
11
11
11
00
01
11
00
10
10
01
01
10
11
11
00
01
10
00
10
10
00
00
00
01
10
10
10
10
01
00
11
00
10
10
10
00
11
00
00
00
10
00
11
10
00
01
10
10
10
01
11
01
10
01
00
11
00
00
10
10
10
00
10
11
11
00
00
00
10
10
11
10
00
10
10
00
00
01
00
00
00
11
10
00
11
10
01
01
10
11
11
11
00
00
00
00
10
00
10
11
01
01
10
11
10
10
11
11
01
01
01
11
00
00
00
00
11
11
00
10
10
00
10
10
00
11
10
00
01
00
11
00
01
00
11
10
00
01
10
10
10
00
01
10
01
11
10
00
00
00
11
00
00
10
10
10
01
00
10
00
00
10
00
10
00
10
10
11
01
11
10
10
00
00
10
11
11
00
00
10
00
11
11
00
01
10
01
10
10
00
00
10
10
00
11
00
00
00
10
10
00
00
01
00
00
01
10
00
11
01
11
00
00
11
10
11
01
01
10
01
00
10
00
00
10
10
01
00
11
10
01
11
11
11
10
10
01
01
11
01
00
00
10
10
00
00
10
11
11
00
00
10
10
00
10
10
10
01
10
10
10
00
00
10
00
01
01
10
00
11
10
00
00
01
11
11
00
10
00
01
00
01
01
11
00
00
10
10
01
00
00
11
10
01
10
00
00
00
11
10
11
10
00
01
00
10
11
00
01
01
00
10
00
10
00
11
00
00
10
00
10
01
10
01
10
00
10
00
11
00
00
11
10
10
00
00
10
11
11
00
00
11
00
11
11
10
00
00
11
11
10
00
00
11
00
10
11
10
10
00
00
10
00
11
01
10
10
00
10
00
00
10
10
00
00
10
00
10
00
10
00
10
10
11
00
00
11
01
00
00
10
10
10
10
11
10
00
00
00
10
10
10
10
00
01
10
10
00
00
00
11
00
00
00
11
10
10
00
01
00
00
00
00
10
10
10
00
10
11
01
10
00
10
10
01
00
01
00
01
11
10
01
01
11
11
10
00
00
10
10
10
00
00
00
10
00
10
11
00
10
00
00
01
10
00
10
10
00
10
10
10
01
11
11
01
00
00
10
00
01
10
11
00
01
10
10
10
01
10
10
00
00
11
10
10
00
01
11
10
00
01
01
10
01
11
10
00
00
01
10
10
00
01
11
11
11
11
00
01
00
11
11
01
11
11
10
01
10
10
11
01
10
01
01
10
11
00
10
10
01
00
00
00
10
00
00
01
01
01
10
01
00
01
01
10
00
01
10
10
10
00
10
00
11
11
01
01
00
00
11
10
10
00
00
11
00
00
01
10
11
10
10
01
10
10
10
01
00
10
10
00
11
10
00
10
11
01
00
11
10
00
10
10
00
10
11
00
00
10
00
00
10
00
10
01
01
11
00
01
01
11
10
01
11
10
11
10
01
10
10
00
00
11
11
11
01
11
10
00
10
01
00
00
00
10
10
10
10
00
00
00
01
11
10
11
00
10
00
10
11
01
11
10
10
10
10
00
01
00
10
11
10
00
11
00
01
10
01
00
10
01
00
10
11
01
01
01
11
10
10
10
10
00
10
00
11
10
00
10
01
10
10
00
11
10
00
10
01
10
01
10
10
11
10
00
01
10
11
01
10
11
00
00
00
10
11
10
01
01
00
10
10
10
10
01
01
01
10
10
00
00
11
10
01
00
11
01
11
10
10
00
00
11
11
11
01
00
10
00
01
10
10
00
00
01
00
00
00
11
10
10
01
10
11
10
10
00
00
00
11
10
01
10
10
00
00
01
10
01
00
10
01
10
00
10
11
01
11
00
00
11
00
10
11
10
00
00
10
10
00
11
10
11
00
00
00
00
10
11
11
00
01
11
00
00
00
10
10
01
00
00
11
10
10
10
11
11
00
00
10
01
00
10
00
11
10
01
10
10
00
10
10
00
00
10
01
00
10
00
00
00
00
10
10
10
11
10
00
10
01
01
00
11
10
10
10
00
10
00
10
01
00
10
10
11
11
11
11
01
10
10
00
00
01
10
11
10
11
00
10
00
11
10
00
00
10
10
00
10
10
11
11
10
01
00
11
10
11
01
11
11
00
10
00
00
10
01
00
01
10
11
00
00
11
11
10
00
01
00
10
11
00
10
10
01
10
11
11
10
00
00
01
10
11
00
10
01
00
01
10
10
10
00
10
00
01
11
11
11
11
01
01
11
10
01
01
11
11
00
01
10
10
10
00
00
10
11
10
10
00
01
10
00
01
00
01
00
00
01
00
00
11
10
11
10
10
10
01
00
11
00
01
10
00
11
01
11
01
11
10
00
00
00
10
10
01
11
10
01
00
01
01
00
11
11
01
00
11
01
00
00
10
10
00
01
10
10
11
10
00
10
11
00
01
10
11
10
00
00
00
10
10
10
00
00
10
01
00
11
11
00
00
00
01
00
10
10
00
11
00
00
00
01
00
00
10
10
00
11
10
01
10
01
00
00
00
10
01
10
00
01
01
00
11
00
00
00
01
10
11
01
01
00
00
00
10
11
11
10
01
11
00
00
01
00
01
10
11
10
10
01
01
11
11
00
00
01
01
11
11
00
00
11
00
00
10
11
00
01
00
11
00
00
00
10
00
10
10
01
00
00
11
01
01
00
10
10
00
00
11
10
01
10
11
01
01
01
10
01
00
00
10
11
00
01
00
10
00
00
10
11
00
01
01
00
10
00
00
10
00
01
10
11
10
10
00
00
11
10
11
01
00
01
00
10
11
11
01
11
10
00
00
00
10
10
11
00
01
11
00
10
11
00
00
01
01
10
11
11
01
00
10
01
10
00
00
10
10
10
00
00
01
10
10
11
00
00
00
00
01
11
10
01
11
11
10
00
10
11
00
00
10
10
10
01
00
10
10
01
11
00
01
01
10
11
10
01
10
10
00
11
11
00
11
00
01
00
01
11
10
00
00
00
00
01
00
01
10
11
01
10
10
00
00
10
00
10
00
00
01
01
10
10
11
10
10
11
10
10
00
10
11
00
00
01
10
11
01
00
10
11
00
01
00
10
01
00
00
10
10
00
11
11
11
00
10
00
00
00
10
11
01
00
00
11
10
01
00
10
01
00
01
11
00
00
00
11
01
00
01
10
10
00
11
10
11
00
00
00
01
10
01
00
00
10
10
10
10
00
01
00
00
01
10
01
00
01
10
10
11
01
01
10
10
00
10
11
10
01
00
00
10
10
00
10
11
00
10
10
11
10
10
10
00
10
00
01
11
00
10
10
01
11
10
00
11
00
00
01
00
00
00
10
10
10
00
01
01
11
10
00
00
10
01
00
00
11
10
11
11
00
01
10
01
00
11
11
10
00
01
00
00
11
11
11
10
01
01
10
11
00
10
01
01
10
01
00
01
10
10
00
10
00
11
10
01
11
10
10
01
01
00
00
10
00
10
11
10
10
01
00
10
01
00
11
00
01
10
10
00
00
00
11
11
11
00
00
11
10
10
00
00
11
00
10
00
11
10
00
10
00
11
01
10
10
11
00
01
00
00
00
10
00
01
00
10
00
10
10
01
01
10
00
01
10
10
00
00
10
11
11
11
11
10
11
00
10
00
00
10
10
01
00
01
00
00
01
00
10
01
10
01
10
11
00
01
10
10
11
11
10
00
11
10
00
00
11
10
10
11
10
00
01
00
01
10
00
00
01
01
10
01
10
10
00
00
11
10
10
00
10
00
10
11
10
10
00
10
00
10
11
00
10
10
11
10
10
10
00
10
00
10
10
10
00
01
10
10
01
01
00
00
00
00
10
00
10
10
11
00
10
01
00
10
10
11
11
00
11
00
11
10
10
00
01
01
00
01
10
10
11
01
01
01
00
10
01
10
00
10
10
10
01
01
10
10
10
00
00
10
00
01
00
10
11
00
11
10
11
10
10
10
00
00
10
10
00
00
10
10
10
10
11
00
10
10
00
01
10
11
11
01
11
00
10
10
01
10
00
01
10
10
00
00
01
10
11
10
11
01
00
00
00
10
11
10
01
10
10
00
00
00
01
10
11
11
10
00
01
11
00
11
01
01
10
10
10
10
00
00
10
00
11
00
01
10
00
00
00
10
00
00
10
00
00
00
10
10
00
00
11
10
01
10
01
11
10
01
11
10
01
00
11
10
00
00
10
11
00
10
01
10
11
01
00
11
11
00
01
10
10
10
01
00
00
00
00
00
00
10
10
10
11
10
10
00
10
10
10
11
11
01
01
00
10
10
00
01
11
10
01
00
10
10
00
11
10
01
00
00
00
01
01
00
11
10
10
00
00
10
00
11
10
00
00
01
10
00
00
01
00
10
00
11
00
01
10
00
10
00
11
11
00
00
11
10
00
10
00
11
10
00
01
11
10
10
10
00
00
10
01
11
00
11
00
01
10
00
10
11
00
01
01
11
00
00
10
10
11
01
01
10
00
00
11
10
10
00
10
11
00
01
00
10
01
10
00
10
00
00
11
10
10
00
00
10
00
10
00
11
10
01
00
01
10
00
10
00
00
10
11
00
00
10
00
11
11
00
00
10
00
11
00
01
10
01
11
00
10
11
01
00
01
10
01
00
10
00
10
11
00
01
10
10
11
11
01
00
00
10
10
10
00
00
00
00
10
11
11
00
10
00
11
00
00
00
00
00
10
00
01
11
10
00
10
10
01
01
11
10
00
01
10
10
01
00
00
00
00
10
11
00
00
10
10
01
10
10
10
10
10
00
10
00
10
10
00
00
10
10
10
00
10
00
10
11
00
01
00
00
00
10
00
01
00
11
10
11
10
01
10
00
00
11
00
11
01
01
10
00
10
00
01
00
01
10
11
00
10
10
00
00
00
01
11
00
11
10
11
00
11
11
00
00
10
01
01
00
11
11
00
11
10
00
10
00
11
10
00
01
10
10
10
01
00
00
00
00
00
10
10
10
10
10
01
00
10
00
10
00
00
00
11
10
10
01
10
11
00
00
00
10
10
01
10
10
10
00
01
10
10
11
11
00
00
10
11
00
01
00
00
10
00
01
01
00
10
10
10
10
00
00
10
00
00
00
00
11
00
11
11
10
11
00
00
00
10
10
10
00
00
10
00
01
00
11
00
00
00
10
00
10
11
10
01
10
10
10
00
00
10
11
00
11
00
01
10
10
00
01
00
10
11
00
11
10
00
10
10
10
00
01
10
00
01
10
10
10
10
11
10
10
00
01
10
11
10
00
10
01
00
01
10
10
10
00
01
11
01
01
10
01
00
00
10
10
11
01
00
00
11
10
00
10
00
00
01
10
11
01
11
11
01
10
01
01
11
00
00
10
11
00
11
01
01
11
10
10
00
10
11
01
01
01
10
10
11
01
00
00
11
10
10
00
10
11
10
01
00
10
11
01
11
11
10
00
00
10
01
00
10
11
10
10
11
00
00
00
00
00
00
11
11
10
00
10
00
10
00
01
01
10
00
01
11
10
00
10
10
01
00
01
00
01
10
01
00
11
00
11
00
00
00
10
10
10
00
01
10
11
10
10
00
00
00
10
00
00
01
01
10
01
10
00
00
11
00
10
10
00
10
10
00
11
10
10
11
10
01
10
01
11
00
00
10
00
00
00
10
01
10
00
10
10
11
01
10
00
10
10
00
00
10
10
00
01
10
10
11
01
10
00
00
00
00
11
10
10
00
11
00
10
00
00
10
10
10
00
10
11
10
00
00
11
00
01
00
10
10
01
10
00
00
11
00
00
10
10
10
00
10
01
01
01
10
11
10
11
00
11
10
00
01
10
00
01
10
01
10
11
10
01
00
10
10
00
00
10
10
00
10
00
00
00
11
10
01
10
10
01
00
00
01
00
10
01
00
01
00
01
11
10
00
00
10
10
00
01
00
00
00
01
00
00
11
11
00
00
11
10
10
00
00
10
10
00
00
11
00
01
10
10
10
00
01
01
10
11
00
11
11
10
11
10
01
01
00
01
10
10
00
11
10
10
00
00
00
10
01
00
00
00
11
10
00
10
10
10
10
10
00
00
10
10
10
00
01
10
10
11
10
10
10
11
01
10
00
00
10
10
10
10
00
11
00
10
01
00
10
10
10
01
00
00
10
10
00
01
00
11
00
00
01
10
01
10
00
00
00
11
00
10
10
00
11
11
00
00
00
00
01
00
01
00
01
10
10
01
10
10
11
10
00
00
11
00
10
11
11
01
11
10
00
00
00
00
11
10
00
11
01
00
10
00
11
11
10
10
00
10
10
10
00
01
01
00
01
01
10
10
00
10
11
01
00
01
00
01
01
00
00
10
00
01
01
10
10
01
01
10
00
00
10
10
11
10
00
01
10
10
10
10
11
01
01
10
11
10
11
11
10
01
01
10
00
11
11
00
11
00
00
10
00
10
10
00
00
00
10
10
11
00
10
10
00
10
01
11
01
11
10
01
10
10
10
00
11
11
10
00
00
00
01
01
10
10
10
01
10
00
10
10
01
00
11
01
01
10
10
00
10
00
00
10
10
01
11
01
00
00
10
10
10
01
10
10
00
00
10
10
10
10
10
00
10
00
01
00
11
00
00
00
10
11
01
11
00
11
10
00
01
01
10
01
10
10
11
00
10
10
00
00
01
11
10
10
01
00
10
00
00
10
10
10
11
10
01
11
10
00
00
00
00
01
10
10
00
11
10
10
01
10
01
00
10
00
11
00
01
00
10
10
10
00
10
10
11
10
01
10
01
10
00
11
10
10
00
11
10
01
10
01
10
10
10
00
00
10
10
01
11
11
10
00
10
01
10
10
00
00
11
10
11
10
10
00
00
10
10
01
01
01
10
00
00
10
00
10
10
00
00
11
10
01
00
11
11
11
10
01
10
10
11
00
10
10
10
00
00
00
01
11
00
11
01
10
00
10
00
01
01
11
00
00
10
11
11
10
01
00
10
01
10
10
10
01
00
10
10
00
00
11
00
01
10
00
11
01
10
10
01
10
00
00
11
10
00
01
00
00
00
00
10
00
00
10
11
01
10
10
10
01
10
10
00
11
11
00
00
00
00
00
00
11
01
00
10
10
10
10
10
01
10
01
11
10
10
00
10
00
10
10
01
10
00
01
00
10
11
01
00
10
01
00
10
01
11
10
00
00
10
10
10
11
01
00
11
01
00
01
00
11
01
00
11
11
00
00
00
11
11
11
01
10
10
10
10
01
00
00
10
01
01
01
00
10
01
10
11
00
10
00
01
11
01
00
00
01
10
10
10
00
00
00
00
11
00
00
00
01
00
00
01
10
10
00
10
00
10
01
00
11
01
11
00
10
11
01
10
01
01
10
01
00
11
00
00
01
11
01
00
00
11
00
01
00
10
11
00
10
10
00
01
01
10
10
10
01
11
01
01
10
00
00
11
00
11
10
00
00
00
10
01
11
11
10
00
00
00
10
11
00
11
01
10
10
10
00
11
00
00
10
10
10
10
11
10
00
00
00
00
00
01
00
00
10
10
01
00
11
00
00
11
00
00
10
00
01
01
01
10
10
10
10
10
00
00
10
10
10
01
00
10
00
00
01
10
00
01
00
10
00
10
01
00
00
10
10
00
00
10
00
01
01
00
10
01
10
10
00
11
10
00
00
00
00
10
00
01
10
10
10
11
01
01
10
10
00
11
10
01
11
00
00
10
10
01
01
10
01
00
11
00
10
00
10
11
00
10
01
01
11
11
11
10
00
10
11
00
00
01
10
10
00
01
00
00
00
10
10
10
00
00
11
00
00
11
11
00
11
00
10
00
01
10
10
10
01
10
10
01
00
01
10
10
00
01
10
10
00
00
00
00
00
11
00
00
10
00
01
10
10
11
10
00
10
11
11
00
10
00
01
01
00
01
00
01
01
00
10
10
00
00
00
01
10
11
10
11
10
00
10
00
11
10
00
00
01
10
11
10
10
00
11
11
10
00
01
10
01
00
11
00
10
11
01
10
10
10
00
11
10
01
00
10
10
00
11
10
10
00
10
00
10
10
00
00
11
00
10
10
11
10
00
01
01
01
00
10
10
01
10
10
00
10
00
00
11
10
10
00
00
10
10
00
01
01
11
11
11
00
11
00
00
10
10
00
10
01
01
01
10
11
01
00
00
01
10
01
00
11
10
10
01
01
00
11
00
00
11
10
00
01
10
10
10
00
00
00
11
10
00
00
10
10
11
00
11
10
00
00
00
11
11
10
01
00
00
10
00
10
10
00
00
10
00
00
11
10
11
11
01
00
10
10
10
00
11
11
00
11
00
01
10
00
11
00
00
11
01
00
01
10
01
10
10
01
00
01
11
10
00
10
01
10
00
00
00
10
11
11
00
00
01
00
01
10
10
10
11
01
11
10
00
00
10
10
00
00
00
10
00
10
10
01
10
00
00
10
01
01
10
11
11
10
10
10
00
10
11
00
01
10
10
00
00
00
01
01
10
00
11
10
00
00
01
10
00
11
10
00
10
01
01
00
10
00
10
11
00
10
10
01
11
00
00
00
10
11
10
00
10
00
00
00
01
10
10
10
11
10
10
11
10
10
00
10
01
11
11
00
10
10
01
10
00
11
11
00
00
00
10
00
00
10
01
00
11
11
00
01
10
00
00
10
10
11
00
00
10
10
11
11
10
10
00
10
00
01
10
11
10
11
10
01
00
10
01
10
10
01
10
11
10
00
00
00
11
11
10
10
00
00
11
01
01
11
10
10
10
11
00
00
10
10
10
00
00
10
00
01
01
01
10
01
10
00
00
00
11
10
00
00
11
00
10
00
00
00
00
00
11
00
01
10
10
10
10
10
00
00
10
00
11
00
10
10
01
11
10
01
01
01
11
00
01
00
10
10
10
10
00
00
10
01
01
10
00
00
00
10
00
00
11
11
01
10
01
11
11
10
01
00
10
10
00
11
11
00
00
11
10
01
01
10
10
01
00
11
10
00
10
01
01
01
00
10
10
11
00
11
10
11
00
10
00
00
11
00
00
10
01
10
01
00
00
10
01
10
11
00
00
00
10
00
10
00
01
10
10
00
00
10
10
00
10
10
00
10
00
11
00
00
01
01
11
10
00
11
01
11
10
10
10
10
01
01
11
10
01
10
11
11
01
10
10
01
00
11
10
00
00
10
10
01
10
00
00
01
10
01
00
11
10
01
00
00
11
10
11
00
00
00
00
11
10
01
00
10
10
10
00
00
00
10
01
10
11
11
00
01
11
01
01
11
10
01
10
10
01
00
10
11
11
01
11
10
10
11
11
10
01
00
10
10
00
01
11
10
00
10
11
10
00
11
10
01
10
10
01
01
00
10
00
00
10
00
00
10
00
01
10
00
00
11
00
00
10
01
00
00
00
10
00
11
11
00
00
00
10
00
10
11
00
01
10
10
10
01
11
00
00
11
11
00
10
10
00
00
00
00
10
00
10
00
00
10
01
00
10
10
00
10
10
00
11
00
10
00
10
10
01
01
11
00
00
01
10
00
11
00
00
00
10
10
01
11
10
10
00
11
10
01
00
10
10
10
11
11
00
00
10
11
00
11
01
00
10
00
00
00
00
10
10
10
00
01
00
11
10
11
10
10
10
01
00
11
01
00
00
01
00
00
10
00
10
10
10
01
10
00
10
00
11
00
11
01
11
00
10
00
01
11
01
11
10
10
00
11
10
11
10
10
00
00
10
00
01
00
10
10
00
10
00
10
10
00
10
10
00
10
10
11
01
10
11
01
00
11
11
10
00
01
00
11
10
00
01
11
01
00
11
10
10
01
01
11
10
10
10
11
01
00
01
10
00
00
11
00
10
10
00
10
00
10
10
00
00
01
10
11
00
10
00
00
10
11
00
01
01
10
01
10
10
00
10
10
00
00
10
00
10
11
11
00
10
00
11
11
01
10
10
10
00
10
00
01
01
01
10
01
00
01
00
11
10
00
00
10
10
01
00
10
10
00
11
01
00
10
00
00
01
10
10
01
10
00
00
11
00
11
00
11
10
11
00
00
01
01
11
00
11
10
11
00
00
00
01
10
11
10
10
00
10
10
10
01
00
10
01
00
00
00
10
00
00
10
00
11
10
10
10
01
10
11
01
10
00
10
10
01
10
10
00
11
00
11
10
00
00
10
00
01
00
10
10
11
10
00
10
10
01
01
01
00
01
01
10
01
10
11
00
11
11
00
00
10
10
00
00
10
00
11
01
11
01
00
10
10
00
00
10
00
01
10
10
10
10
01
00
01
01
01
10
10
10
01
00
10
10
01
11
10
10
10
11
00
11
00
01
10
00
00
10
00
00
00
11
00
11
00
00
10
00
10
10
00
10
10
00
00
10
10
00
11
00
00
00
00
00
10
11
11
01
10
11
10
10
10
10
00
00
10
10
00
10
01
00
01
00
01
10
01
11
00
00
00
10
00
01
10
00
00
10
11
11
00
01
00
10
01
00
10
00
01
10
10
10
10
10
10
10
11
10
00
00
00
11
01
10
01
10
10
00
10
10
11
10
00
10
11
01
01
00
10
00
10
11
11
10
01
00
10
11
00
01
10
10
01
00
01
11
00
11
01
10
10
10
00
10
10
00
01
10
00
10
11
11
00
01
00
00
11
00
11
01
00
10
10
00
01
00
11
10
11
00
00
00
00
10
00
00
11
00
00
00
00
11
10
10
11
10
01
10
00
01
01
00
01
01
11
00
10
11
00
00
01
10
10
10
10
00
11
00
01
10
11
01
10
10
01
00
10
00
00
11
00
00
00
10
10
11
11
00
00
01
11
10
10
01
00
01
11
10
10
00
00
10
00
00
10
01
00
00
10
10
00
00
01
00
00
10
10
11
00
11
10
10
01
01
01
10
11
00
00
00
11
10
00
10
00
00
00
00
11
01
00
10
11
00
01
00
10
00
01
10
11
10
00
10
10
11
01
11
10
11
11
00
00
00
01
01
00
10
11
11
00
01
00
00
10
10
11
00
10
01
10
00
10
10
00
10
10
00
00
11
10
11
10
00
11
10
11
00
01
00
00
11
00
00
00
10
11
10
00
00
10
00
01
01
00
00
10
10
00
00
10
10
10
01
00
00
10
10
10
01
00
11
01
01
00
10
00
10
11
00
00
10
10
00
11
11
10
10
11
00
11
01
00
10
10
00
01
10
01
00
00
10
00
01
11
01
11
11
11
01
01
10
01
00
11
11
00
11
11
00
10
00
11
00
00
10
01
10
00
00
00
11
00
00
00
01
11
00
11
11
01
01
11
00
01
01
11
10
10
00
01
00
11
00
01
00
10
11
00
00
10
00
00
01
10
00
01
00
11
10
11
11
10
00
00
00
10
01
11
11
01
11
00
00
10
00
10
10
00
00
00
00
10
11
00
11
11
10
00
11
10
11
01
00
01
10
01
10
00
01
10
00
00
00
11
11
10
01
00
10
11
10
00
00
11
11
01
01
10
11
00
01
11
00
10
10
01
00
00
10
11
00
01
10
00
11
00
10
10
10
00
10
00
00
10
00
10
00
00
10
01
00
11
10
00
01
10
10
01
00
10
10
01
00
10
00
11
01
11
10
10
00
10
10
00
10
01
01
11
01
00
00
00
11
10
00
00
10
01
11
10
00
10
00
10
11
00
00
11
11
01
10
10
10
10
01
00
11
10
11
11
00
00
11
01
00
10
10
10
11
00
00
01
10
01
01
11
11
01
01
01
01
11
10
00
00
00
11
01
11
00
10
10
11
00
01
10
00
10
10
01
01
01
10
01
10
11
10
01
00
00
11
11
01
00
00
10
10
00
00
10
10
10
10
11
00
01
00
10
10
00
00
11
10
00
00
00
10
00
11
11
00
00
10
01
10
10
00
01
11
11
01
10
00
00
10
10
01
00
10
11
10
00
10
00
00
10
00
11
10
10
00
01
00
11
00
00
10
00
11
11
01
00
10
00
11
10
10
01
00
00
00
00
11
10
11
11
10
00
01
10
00
00
10
10
00
10
10
10
00
00
00
10
01
00
00
11
00
01
10
01
00
01
10
10
00
00
10
01
11
11
10
00
00
10
11
00
00
10
01
00
11
10
11
10
11
00
01
11
10
10
10
11
00
10
00
10
01
00
10
00
11
11
11
00
00
00
10
10
00
10
01
00
11
10
00
00
11
10
11
10
00
00
00
01
11
11
01
00
00
10
00
00
11
10
00
10
00
00
11
10
00
11
10
10
10
01
00
11
11
11
00
00
10
10
00
00
10
11
00
00
10
10
01
10
11
11
10
00
01
00
01
11
10
10
10
00
00
11
10
01
11
00
10
00
00
11
11
00
10
10
00
00
10
01
11
00
00
01
00
11
01
01
00
00
10
10
00
00
00
10
10
00
00
11
10
00
00
00
10
01
00
00
10
01
11
10
10
10
00
01
11
01
11
10
10
11
01
11
10
00
00
10
10
10
00
10
10
00
00
10
01
00
00
11
11
11
00
11
00
00
00
00
11
10
10
00
01
00
00
11
10
11
10
11
00
10
11
10
01
00
01
00
00
10
10
11
00
00
11
11
10
00
01
00
10
11
00
10
00
00
11
00
00
10
01
00
11
00
11
11
10
01
00
10
10
00
00
11
10
00
00
10
10
11
00
11
10
00
01
10
01
01
11
10
00
10
00
01
11
11
00
01
10
00
10
01
00
10
10
00
11
10
11
11
10
10
00
00
10
11
01
00
10
11
01
00
10
10
10
01
00
00
00
10
10
01
00
10
00
00
10
10
00
10
10
10
10
11
01
00
00
10
00
11
10
10
01
01
01
01
10
10
01
10
10
11
00
00
00
10
00
00
10
00
00
11
10
10
11
00
01
11
00
00
00
10
00
00
10
10
11
01
00
10
01
11
01
00
10
10
10
00
10
00
01
10
11
10
11
10
11
00
01
00
10
11
00
10
10
01
10
00
00
10
01
11
00
11
10
00
10
10
10
11
11
00
00
10
10
10
00
00
10
00
00
00
01
00
10
00
10
01
01
10
10
01
00
11
10
00
11
11
00
10
10
10
01
00
00
10
10
00
10
01
00
01
01
00
10
01
10
10
10
00
00
10
00
11
00
01
00
11
11
10
11
01
11
10
10
00
10
00
01
10
10
00
10
01
00
10
00
00
10
00
01
10
10
10
00
10
10
00
00
11
10
01
10
10
01
00
10
10
00
11
10
00
01
00
10
00
10
10
10
10
00
10
10
10
01
00
01
10
11
00
00
11
10
00
11
01
00
11
10
10
10
00
10
10
10
00
11
01
10
10
11
01
10
11
00
01
01
10
10
01
01
10
11
10
01
00
10
01
10
10
00
10
10
01
10
01
01
11
10
10
00
00
00
10
10
10
11
00
10
10
11
10
01
10
10
10
10
10
01
00
00
01
00
00
11
10
00
10
00
11
10
10
10
00
10
00
11
00
10
10
01
00
01
10
10
00
10
11
11
01
00
10
01
00
10
01
00
00
10
00
11
11
10
00
10
01
00
10
01
10
11
00
00
10
00
01
10
10
10
00
00
01
10
11
11
00
00
11
01
00
11
11
01
01
00
10
10
10
11
00
10
10
01
11
01
01
01
11
10
01
00
00
10
11
10
00
11
11
10
00
10
00
11
10
01
00
10
11
10
11
10
01
00
00
00
10
00
01
11
11
11
00
00
00
11
00
11
11
00
10
11
10
10
10
01
00
00
10
11
01
00
11
00
00
01
10
00
11
10
01
10
01
11
11
00
01
01
11
10
00
00
10
01
00
10
11
10
01
10
00
00
10
11
00
01
10
00
01
10
11
11
10
00
10
10
00
00
10
10
01
00
10
01
10
00
00
10
10
10
00
00
00
10
01
01
10
11
01
10
00
00
11
00
00
10
00
00
00
01
10
00
10
10
00
11
10
10
01
10
00
00
00
00
00
00
10
10
10
00
01
10
00
01
01
00
00
10
10
00
00
10
11
00
10
01
00
00
10
00
01
10
11
11
10
00
00
10
10
00
00
00
11
00
10
10
00
10
10
10
10
10
01
00
10
00
00
10
10
11
00
01
00
01
10
11
10
10
10
11
01
11
10
01
01
11
11
01
01
11
00
00
11
00
00
10
00
10
11
10
00
10
10
11
11
11
00
00
11
10
10
01
01
10
01
10
10
00
00
00
00
10
01
01
11
10
00
10
00
00
10
00
00
01
10
00
01
10
01
01
10
10
01
00
01
10
11
01
10
00
00
10
11
00
01
01
11
01
00
10
01
10
10
00
10
10
10
00
00
10
01
11
10
00
01
00
00
10
10
01
01
10
10
10
10
10
01
10
10
01
00
10
00
00
00
10
10
10
10
00
10
00
10
11
10
11
00
01
00
11
10
01
01
10
00
00
00
10
01
00
11
00
10
00
10
01
11
10
00
00
10
11
11
11
00
01
10
11
11
10
11
00
10
01
00
11
10
00
00
10
00
11
11
00
10
11
00
01
01
10
11
00
00
10
00
00
00
10
00
00
00
00
10
00
00
10
10
10
10
11
10
00
00
01
10
00
11
10
11
00
00
11
10
10
01
01
10
00
00
11
10
10
01
10
10
10
10
01
00
00
11
10
01
10
01
00
00
11
00
00
10
10
10
10
10
10
00
10
10
10
10
00
00
00
00
01
11
01
11
00
10
00
00
01
10
10
00
00
10
00
11
00
00
10
10
10
10
10
00
00
10
11
10
10
11
10
10
11
10
11
10
10
00
00
01
00
00
10
00
10
11
00
00
10
10
01
11
00
00
11
10
10
00
10
00
11
11
00
01
00
11
01
10
01
00
01
10
10
00
00
01
10
11
01
01
00
11
10
11
00
00
00
10
01
00
11
10
00
00
00
11
10
00
01
00
10
01
01
10
00
11
00
10
10
00
10
10
01
10
01
00
00
01
11
10
10
00
00
00
10
10
11
01
00
00
01
11
01
10
10
10
00
10
00
10
11
10
11
01
11
01
00
10
10
11
01
11
11
00
10
11
00
00
10
11
01
01
10
11
00
01
00
01
10
10
10
00
00
00
00
10
00
11
10
00
10
10
00
10
10
01
00
11
11
10
10
00
10
10
10
01
00
11
10
01
11
00
11
11
11
00
10
10
00
10
01
10
10
10
00
11
10
00
00
10
10
10
01
00
11
10
00
10
10
01
11
10
00
01
10
10
11
00
01
10
11
10
10
10
11
11
00
00
10
00
01
10
10
00
00
11
10
11
11
01
01
11
01
11
11
00
10
10
10
01
00
00
01
10
11
11
10
11
10
10
01
00
00
01
11
10
10
11
01
00
11
10
10
11
00
01
00
10
10
10
10
11
00
00
00
10
00
10
00
00
00
10
10
10
01
01
10
10
00
11
00
11
00
00
10
10
01
10
10
01
00
10
00
10
00
00
00
00
10
00
11
00
10
00
00
01
00
10
00
00
10
10
00
11
10
00
00
00
00
00
11
00
11
00
10
00
11
00
11
10
00
11
10
00
01
10
11
11
11
00
00
10
10
10
00
01
11
01
00
10
11
00
11
11
00
11
10
10
10
00
01
00
10
10
10
10
01
11
11
10
10
00
00
10
10
01
00
00
00
11
10
00
10
10
00
00
00
00
11
11
10
10
00
00
01
10
10
01
10
11
00
01
01
01
11
00
00
11
00
10
11
00
00
11
10
10
10
00
10
11
10
10
10
00
10
11
10
00
00
00
00
10
00
00
00
10
11
01
10
10
00
01
00
10
11
00
00
00
10
10
11
00
11
00
01
11
00
11
00
10
11
01
00
10
10
11
10
01
01
00
10
00
10
11
01
11
10
10
01
10
00
11
00
00
01
10
11
10
01
00
00
11
00
10
00
10
11
10
10
01
00
00
10
01
01
01
11
01
10
11
00
01
00
10
10
10
11
00
01
01
00
10
11
01
00
10
11
01
00
10
10
10
00
11
01
11
11
01
00
10
01
10
01
00
10
11
01
10
10
00
00
00
01
01
11
10
11
01
10
00
10
11
00
10
11
00
10
11
10
00
01
10
00
10
01
00
11
01
00
00
10
10
10
00
00
11
10
00
01
10
00
00
10
10
10
00
10
10
10
10
00
01
00
10
00
00
00
10
10
00
10
01
00
10
10
11
01
01
00
11
10
00
00
00
01
10
10
01
00
10
11
00
00
11
10
10
11
00
01
10
00
01
10
00
00
10
10
11
01
00
10
10
00
10
10
01
00
10
10
10
00
11
10
11
00
10
11
01
01
10
01
00
01
11
10
01
10
10
01
00
00
10
11
00
01
11
00
10
10
10
01
00
11
10
10
00
10
00
00
00
10
10
10
10
00
00
01
00
11
01
01
10
11
00
10
00
00
11
10
10
01
00
00
01
10
10
00
01
01
00
11
00
10
10
00
11
11
00
01
01
01
01
11
01
00
10
10
11
00
10
10
01
10
10
00
01
00
10
00
01
10
01
10
00
00
00
00
11
10
00
01
01
00
01
01
00
01
10
10
01
00
11
10
10
01
00
00
11
10
00
00
00
10
10
10
10
00
11
10
10
00
00
10
10
00
01
00
00
10
11
00
00
00
01
10
01
10
10
00
11
01
10
00
00
00
10
10
01
00
10
01
00
01
10
00
11
10
10
10
00
00
10
00
00
00
00
11
00
00
10
00
10
01
00
11
00
01
10
10
00
00
10
11
01
10
10
10
00
00
11
10
10
00
11
00
00
00
01
10
11
11
01
11
10
00
00
01
01
00
11
10
10
01
00
10
01
00
10
01
10
11
00
00
00
11
00
00
11
11
10
11
10
00
00
00
00
00
10
10
10
00
01
01
00
01
00
10
10
01
10
10
00
00
00
01
00
10
11
10
10
10
10
01
00
00
00
10
00
11
11
01
00
10
00
11
00
10
11
11
11
00
00
00
10
01
01
10
00
01
10
00
10
01
11
01
01
11
00
01
00
00
00
10
10
00
10
10
00
01
01
10
00
10
00
10
10
00
11
00
10
01
10
01
10
00
00
11
01
10
00
00
11
00
11
10
11
11
10
01
00
10
10
11
01
10
00
01
10
10
11
00
01
10
11
10
11
00
10
10
00
01
10
00
00
01
10
10
10
11
00
01
00
10
10
00
10
00
11
00
00
10
10
11
10
00
10
10
10
01
11
11
10
11
00
10
11
11
01
00
11
11
01
01
11
00
01
00
10
10
00
00
00
00
10
11
10
10
10
01
10
00
00
10
10
00
10
00
01
10
10
00
00
00
10
10
00
00
10
10
00
11
01
10
10
01
00
10
11
10
00
00
10
11
11
11
01
10
10
00
10
01
01
11
11
01
10
10
11
10
01
11
00
00
00
10
11
01
11
11
00
10
00
10
00
10
10
00
11
10
01
11
11
11
11
10
00
00
10
01
01
10
10
00
01
00
11
10
01
00
00
10
00
10
00
10
11
10
00
00
10
01
11
00
00
11
01
11
10
11
10
10
10
00
10
00
10
10
10
10
10
00
00
00
10
11
11
01
01
01
11
10
10
01
10
10
10
00
00
10
11
01
00
11
11
11
01
01
10
10
00
01
10
00
00
10
10
10
10
01
01
01
01
10
01
00
00
10
10
00
00
11
10
01
11
10
01
10
01
11
01
11
11
00
00
11
10
00
00
10
10
11
01
00
01
00
11
11
11
00
00
10
00
11
11
11
11
10
10
10
10
10
11
01
00
10
11
00
11
10
01
00
10
10
10
00
00
11
10
01
10
11
00
10
11
00
01
10
11
00
00
00
10
11
01
00
10
11
00
00
00
01
10
11
01
10
11
00
01
01
10
10
00
00
10
10
01
10
10
00
11
10
10
01
10
10
11
00
00
11
11
10
10
01
00
00
10
11
00
01
11
01
11
10
10
11
00
01
01
00
01
00
00
00
00
10
00
10
10
10
01
10
00
01
10
00
00
10
11
00
00
10
10
10
00
00
00
00
00
00
10
00
10
00
00
11
10
00
10
00
11
11
01
10
11
00
00
11
01
00
10
11
00
00
00
01
11
11
00
10
01
01
00
01
10
10
01
00
11
00
10
11
10
01
00
11
00
00
10
10
11
01
00
00
00
10
00
10
01
11
10
00
10
10
00
10
00
00
00
10
00
11
10
00
10
11
00
00
01
10
01
00
00
10
11
10
01
01
10
10
10
01
11
10
01
01
01
10
00
10
10
00
00
11
10
11
01
11
00
10
10
00
00
10
00
11
00
00
00
10
10
10
10
11
00
10
01
01
00
10
00
00
10
00
00
11
10
00
11
11
00
11
01
00
00
11
00
10
10
00
11
11
10
10
10
00
10
00
00
00
01
00
01
10
00
10
10
00
00
00
10
00
00
00
10
10
00
00
00
00
10
00
10
10
01
10
01
00
00
00
00
11
10
00
00
10
00
10
10
01
10
10
00
00
00
00
00
10
11
11
01
11
10
01
10
11
01
10
10
00
00
10
00
01
00
00
10
11
01
10
01
00
01
10
00
11
11
00
01
11
11
00
11
11
00
01
11
10
00
00
10
10
01
00
10
00
10
11
01
10
00
00
00
01
01
00
11
11
10
10
10
00
10
00
00
10
00
00
00
11
10
11
00
11
00
10
00
00
10
10
10
01
10
10
01
10
10
00
11
10
00
00
10
00
00
10
11
00
00
00
00
00
00
00
00
10
10
11
00
00
11
10
11
01
01
11
11
10
10
11
00
00
10
00
10
00
01
00
10
00
10
01
10
01
00
10
00
00
11
01
11
10
10
00
11
01
00
10
10
10
10
01
00
10
10
11
00
10
10
10
10
01
11
10
00
00
11
11
01
00
00
10
10
11
10
01
00
11
10
00
10
10
11
01
00
10
00
01
00
10
11
00
00
00
10
10
11
10
00
00
11
00
00
11
10
00
00
00
00
11
01
01
01
00
00
00
10
00
00
00
10
10
10
00
00
10
00
11
01
00
11
00
01
10
10
11
10
00
01
10
11
00
11
00
00
10
00
10
10
00
00
10
00
00
11
00
10
00
01
10
00
11
00
10
10
11
01
01
10
01
10
10
01
10
10
10
01
01
00
10
10
10
10
11
01
01
00
10
01
00
00
00
10
10
10
00
00
00
00
10
10
00
10
10
10
00
00
01
11
00
10
00
00
10
11
11
00
00
00
10
01
00
00
11
10
11
10
10
10
11
01
11
01
00
01
10
10
01
11
11
00
01
10
10
00
00
00
10
00
10
00
00
01
10
00
11
00
11
10
01
00
10
11
01
10
00
10
01
10
01
00
11
10
00
00
11
10
01
10
11
10
10
01
11
11
00
00
10
11
00
01
00
00
10
10
11
11
01
10
10
10
10
10
00
00
11
10
01
00
10
00
00
00
11
10
01
00
01
10
10
01
10
11
11
01
01
10
10
00
10
10
00
00
10
11
00
10
00
10
10
10
10
10
10
01
11
01
10
01
00
00
10
01
01
11
10
10
01
10
10
10
10
01
00
10
00
01
01
00
11
10
00
01
00
11
01
00
10
10
01
11
11
00
01
00
11
10
01
00
10
00
01
11
10
00
00
00
11
00
01
10
10
00
11
10
11
10
00
01
00
00
10
00
00
00
10
10
10
00
10
00
11
00
11
11
01
00
00
00
10
10
10
10
00
01
10
11
00
11
10
10
11
00
01
10
00
01
10
11
00
10
00
00
10
00
01
10
10
01
10
10
10
00
10
00
10
10
01
01
00
11
10
00
00
00
10
00
01
10
00
01
10
00
00
01
10
10
00
10
01
10
01
00
10
00
00
00
11
10
10
11
01
00
01
10
10
00
11
00
01
01
10
00
00
10
10
10
00
10
00
00
10
10
00
10
01
11
00
10
01
10
01
10
11
11
00
01
01
10
10
10
00
11
00
00
00
10
10
00
10
00
01
10
11
10
10
00
10
01
00
11
10
11
10
00
00
10
10
00
01
00
00
11
00
10
10
00
11
10
10
00
00
01
00
00
00
11
00
00
00
10
10
01
00
01
10
01
00
11
01
11
11
01
10
10
00
11
10
01
00
11
00
10
00
10
01
11
00
10
01
01
00
10
10
01
01
00
11
11
00
10
00
01
10
11
01
00
10
01
00
10
10
10
11
01
00
10
00
11
11
11
11
00
10
10
11
10
11
00
00
01
10
01
10
01
00
10
10
00
00
11
00
00
00
00
01
00
01
11
00
11
00
00
11
00
10
01
00
10
10
00
10
00
11
00
01
10
00
10
11
00
00
00
10
00
00
01
11
10
00
01
10
00
00
00
11
11
01
01
11
11
00
11
11
11
00
01
10
10
10
00
11
11
01
10
11
11
00
10
00
01
11
10
00
00
10
10
01
11
01
11
00
00
00
10
00
11
10
01
00
10
11
10
11
00
10
10
00
10
11
00
10
10
10
01
01
01
01
00
11
11
00
01
10
10
01
01
10
01
01
00
11
10
00
00
00
10
10
00
00
01
10
00
11
10
10
10
00
00
10
10
00
00
11
11
10
00
10
11
10
10
00
01
10
10
00
11
00
11
00
00
10
00
10
10
10
01
00
01
10
01
11
10
11
11
11
11
00
01
01
01
10
01
10
10
00
00
10
11
01
11
01
11
01
10
11
00
10
01
00
10
00
10
10
11
01
10
10
00
00
00
10
00
00
01
10
10
00
11
11
00
01
10
01
00
10
00
01
11
11
00
10
01
01
10
00
01
10
11
00
01
10
10
00
11
00
10
11
00
00
10
10
00
10
11
01
01
10
10
10
01
01
00
10
11
01
10
10
10
10
00
00
11
00
01
01
10
11
01
10
00
00
10
10
10
10
00
11
01
10
01
00
00
10
10
10
10
00
10
00
00
00
00
10
01
10
10
10
10
00
00
01
10
01
00
10
00
10
10
01
00
10
10
00
10
00
01
11
11
10
10
11
01
11
00
01
11
00
11
01
01
10
10
01
10
01
00
11
10
00
10
01
10
11
00
00
10
11
00
00
00
00
00
11
00
01
00
00
10
10
10
10
10
00
10
11
10
00
01
10
10
11
00
11
11
10
01
10
00
10
10
00
10
01
00
10
00
00
10
00
01
10
10
00
10
10
00
00
11
01
01
00
10
00
11
11
00
10
11
00
00
10
11
00
01
01
11
11
00
00
10
11
00
10
10
00
11
00
10
01
10
01
11
10
00
10
11
00
10
10
10
11
10
00
01
01
10
10
11
00
01
11
10
10
00
01
11
00
00
10
00
01
10
01
11
10
01
00
11
11
01
00
10
10
01
10
00
10
10
10
10
01
01
11
01
10
10
01
11
10
00
00
01
11
10
00
10
10
11
10
01
10
01
10
10
01
10
00
01
01
10
10
00
10
11
01
01
11
10
00
00
10
00
01
11
00
01
11
01
00
01
10
00
00
10
00
10
00
01
00
11
00
00
00
10
10
10
00
00
00
01
00
10
00
10
10
00
00
01
00
01
00
11
00
01
00
00
01
10
00
10
10
11
10
01
10
11
00
11
10
10
11
01
00
10
00
00
00
10
11
00
01
01
00
10
10
01
01
00
10
11
00
00
10
00
11
01
00
00
01
00
10
01
10
10
11
00
10
10
00
00
11
00
01
10
00
01
11
00
11
00
00
01
10
11
00
10
01
10
10
10
00
00
10
10
11
00
10
11
01
00
00
11
00
01
10
11
00
00
00
11
10
01
01
10
11
00
00
00
10
10
00
00
11
10
00
11
11
00
11
00
01
00
11
01
11
11
10
11
01
00
01
10
10
01
11
00
00
10
11
10
10
11
00
00
00
10
01
11
01
00
11
10
10
10
00
01
10
00
00
00
10
00
10
10
01
11
11
11
00
00
10
10
01
00
10
10
00
11
11
11
00
01
00
10
11
10
10
00
01
10
11
00
01
00
00
10
10
00
01
10
10
10
01
00
00
01
10
11
00
00
10
00
11
01
00
00
10
10
01
10
00
11
00
10
11
10
10
00
00
11
11
01
11
01
11
10
11
00
00
10
10
00
10
10
00
10
10
00
00
10
10
01
00
10
10
00
00
10
00
00
11
01
00
10
10
01
10
00
00
11
10
00
10
01
00
00
01
11
11
11
01
00
00
01
11
10
00
00
00
10
01
10
00
00
10
10
10
01
01
00
11
00
10
00
11
00
00
10
10
00
01
10
01
00
10
10
01
00
10
11
01
00
10
00
00
10
10
01
10
10
11
00
01
11
01
00
10
00
00
00
00
11
10
10
00
00
00
00
11
00
00
00
10
00
10
10
10
10
01
00
10
01
00
00
00
00
10
00
00
00
11
00
10
00
10
11
10
11
00
10
00
10
11
01
00
11
01
00
00
10
00
11
11
01
11
00
00
01
10
00
01
10
10
10
01
01
00
10
11
00
00
01
10
11
00
10
01
00
10
10
10
01
00
10
11
10
11
00
10
11
00
00
10
00
00
11
10
10
01
00
10
10
00
11
10
10
00
01
10
11
00
10
11
01
10
00
01
10
10
01
01
11
00
00
10
01
00
11
11
00
00
10
10
11
01
01
00
11
10
01
00
11
10
01
00
10
00
00
00
11
01
00
01
00
01
00
11
10
11
01
01
11
11
01
10
10
01
00
00
10
11
01
11
00
00
00
01
11
10
10
11
00
10
00
00
11
00
01
00
00
10
11
11
00
10
01
01
10
00
11
10
10
01
00
01
10
11
11
10
11
10
10
00
00
10
00
00
11
00
11
01
10
11
00
11
00
01
10
10
00
10
01
00
00
01
00
01
10
10
01
11
10
01
00
10
00
10
10
00
11
10
00
00
00
10
11
10
00
10
00
10
11
11
00
11
01
10
10
01
10
10
10
01
10
11
00
10
10
00
00
10
00
01
01
01
10
11
00
11
00
00
10
10
10
00
11
11
01
10
11
10
10
11
00
01
11
00
01
00
10
01
11
10
01
00
10
00
01
10
10
11
00
00
00
00
10
10
00
00
10
01
10
00
10
10
01
00
11
10
01
10
10
11
11
01
00
00
10
10
00
10
01
00
10
00
10
11
11
00
01
11
00
00
01
11
11
01
00
10
11
00
11
10
00
00
10
10
01
10
10
01
01
00
01
10
10
00
10
10
00
11
10
11
01
10
10
00
00
00
10
10
00
00
00
11
10
10
11
00
10
11
11
00
11
10
11
10
00
00
11
11
10
11
01
01
10
10
11
10
00
01
10
10
01
01
00
10
00
11
10
11
00
00
10
10
00
10
00
11
10
00
00
01
11
01
01
10
10
10
00
10
00
00
11
01
01
01
00
10
00
01
10
00
01
10
11
10
00
00
10
10
10
10
01
10
10
11
00
00
10
11
10
10
01
00
00
10
00
10
11
10
10
10
11
00
11
01
10
10
01
00
10
10
01
01
00
11
11
00
10
10
10
00
00
10
11
11
00
00
11
00
11
10
00
00
01
00
10
00
11
00
00
10
00
10
00
00
00
10
10
00
00
10
01
10
10
00
01
11
10
10
01
00
00
00
11
01
00
10
01
00
00
11
11
00
11
10
00
10
11
01
11
10
00
11
10
00
01
11
11
00
11
10
10
10
00
00
10
11
01
01
10
10
10
10
10
00
00
10
11
01
10
10
01
10
10
10
11
10
00
11
00
10
10
00
00
00
10
11
10
11
00
10
00
00
11
10
01
10
11
01
11
00
11
10
10
11
00
01
01
10
11
00
01
10
10
00
00
10
00
10
11
10
01
01
00
10
01
01
10
11
11
10
00
11
01
00
10
10
11
01
00
00
10
01
10
10
00
10
10
00
01
10
00
11
00
01
00
00
10
00
00
10
01
01
00
11
01
01
00
10
00
11
10
10
10
00
00
01
10
01
00
00
10
10
00
00
10
11
01
01
10
00
00
10
00
10
11
00
11
10
11
00
00
11
01
10
00
00
10
11
11
11
11
10
00
01
11
01
00
10
10
10
00
11
00
01
10
10
11
11
00
00
00
00
10
11
00
01
10
10
00
00
00
10
00
00
10
10
01
00
00
11
10
00
00
00
10
00
01
00
10
00
11
10
00
10
00
00
00
00
10
00
00
10
00
00
10
10
01
10
01
01
10
10
10
01
11
11
00
00
10
11
11
01
00
10
01
01
11
10
10
01
10
11
10
00
00
00
00
11
10
00
01
00
00
01
00
10
00
01
11
01
11
10
01
01
10
00
01
10
11
10
01
01
00
10
00
01
11
10
00
10
01
00
10
10
00
10
10
10
10
01
00
11
01
10
10
10
11
10
10
00
01
10
00
00
10
10
11
10
01
01
10
10
10
10
01
11
01
01
10
00
11
01
10
10
00
11
01
11
10
00
01
01
10
10
01
00
10
11
00
11
10
01
01
00
11
00
11
10
10
01
00
00
01
00
10
00
00
10
10
01
00
00
10
10
10
10
10
01
01
00
10
10
00
10
11
01
11
10
00
11
10
10
01
10
11
01
00
10
10
00
01
10
10
00
10
10
01
11
01
10
01
10
11
00
00
00
10
01
10
10
01
11
10
11
00
11
11
00
00
10
10
00
00
00
10
00
11
00
10
00
00
11
10
00
11
00
00
10
01
00
10
11
10
01
11
10
11
00
10
01
01
10
01
01
10
10
11
00
11
10
00
11
01
00
00
10
11
10
00
00
10
00
00
00
11
10
01
10
10
11
01
00
00
00
01
00
00
10
11
01
10
00
00
00
11
10
11
10
10
00
00
00
10
01
00
10
10
00
11
00
10
10
00
00
00
10
10
00
00
10
01
10
11
10
11
10
11
10
01
00
10
10
11
01
10
10
11
10
11
00
01
10
10
00
01
00
10
10
00
10
11
00
10
00
10
00
00
01
01
11
10
01
00
10
10
10
00
00
11
10
10
00
11
11
10
11
00
01
11
01
00
00
10
11
10
01
00
01
10
10
01
10
10
01
10
10
00
10
01
11
10
00
10
11
00
10
00
00
11
00
10
11
00
11
01
10
00
10
00
00
01
10
11
00
10
10
01
10
00
10
11
00
10
01
00
01
11
10
01
01
00
11
10
01
00
10
01
00
11
11
11
10
01
00
10
00
10
01
00
11
00
10
11
10
10
11
00
00
01
00
11
01
00
01
00
01
10
01
00
10
01
01
00
00
01
10
10
10
10
10
10
11
10
01
01
01
00
01
00
01
10
11
00
00
00
11
10
01
01
10
01
00
00
01
00
10
11
00
00
11
01
00
00
10
00
10
11
00
11
10
10
11
00
10
00
00
00
10
10
00
01
11
11
00
11
00
10
00
01
10
11
00
10
00
00
10
00
11
10
00
11
11
00
00
00
10
00
00
10
01
00
11
10
01
00
11
00
00
10
01
11
10
00
00
10
10
11
10
00
00
11
00
01
10
00
00
00
00
00
01
11
10
11
01
10
11
01
00
00
00
10
10
10
00
00
11
01
11
00
01
11
01
10
00
11
10
11
00
01
10
10
10
01
00
00
00
11
10
01
00
10
00
10
10
10
00
01
01
11
00
10
11
01
11
11
10
00
00
00
01
00
11
10
00
00
10
11
01
00
11
00
10
00
10
10
00
10
10
11
01
10
01
00
10
11
11
00
00
00
10
10
00
00
10
10
01
11
00
11
11
00
10
00
01
11
11
00
01
11
11
11
00
00
01
00
10
00
00
11
10
01
00
10
11
10
01
00
00
11
01
00
11
10
00
01
00
11
10
00
00
10
10
00
01
10
10
01
11
00
11
00
11
00
01
10
01
00
11
00
00
10
00
00
10
00
00
10
10
11
10
00
00
10
10
00
10
11
01
00
11
11
01
00
10
10
10
01
00
01
00
00
00
10
01
01
00
00
11
10
01
11
10
01
01
01
11
10
10
11
10
00
10
10
00
00
11
10
10
10
00
01
01
01
11
10
00
10
10
10
10
00
00
00
00
00
11
00
11
00
10
10
00
10
00
01
11
10
00
01
10
10
00
11
01
00
00
10
11
10
00
00
10
01
00
00
00
00
00
10
10
11
10
00
00
10
11
10
00
00
10
10
10
11
00
10
00
11
00
10
01
00
11
10
11
00
10
10
00
00
10
11
00
00
10
10
00
10
11
00
10
00
11
00
00
11
11
10
00
00
11
10
00
00
01
11
11
10
00
10
11
01
11
10
01
00
10
10
00
10
11
10
01
00
00
11
11
00
11
11
01
00
01
10
10
11
00
10
10
11
00
00
00
00
01
10
10
11
10
00
01
11
11
01
00
11
10
11
00
00
11
11
11
11
10
01
10
01
00
10
11
01
10
11
10
10
10
00
01
10
00
01
10
10
10
10
00
01
11
01
11
01
10
00
00
10
00
01
11
11
11
00
01
00
00
00
10
00
00
10
01
10
00
10
10
10
11
00
00
00
10
00
10
00
10
01
00
00
00
11
00
01
00
11
00
00
00
01
00
10
10
00
00
01
10
10
00
10
01
10
01
10
10
00
11
10
01
00
10
00
01
11
00
10
10
00
00
00
10
00
00
11
00
11
10
11
01
01
11
01
11
10
11
00
00
10
00
10
10
01
00
01
00
10
01
00
10
10
01
00
10
01
10
00
11
00
00
00
11
00
10
00
10
10
10
10
01
01
00
00
11
10
00
00
11
00
01
10
01
01
10
10
01
11
10
10
01
10
11
00
01
11
00
01
01
01
11
11
00
00
10
10
00
00
11
10
00
00
10
00
00
10
10
00
00
01
10
11
11
00
00
11
10
00
01
11
01
10
00
11
10
10
00
11
11
10
00
00
10
10
00
10
10
10
00
00
10
00
10
01
01
01
11
01
10
00
00
00
00
10
10
00
01
10
10
10
10
00
10
00
11
10
01
10
10
00
10
11
00
11
10
00
01
10
00
00
00
10
10
00
10
10
00
00
00
10
00
10
11
11
10
10
10
00
01
11
01
10
00
00
00
10
00
00
10
11
10
11
00
11
10
10
01
10
10
01
00
10
01
10
00
01
11
00
10
00
11
01
01
00
01
10
11
00
00
11
10
10
01
01
10
00
01
01
00
10
00
00
11
10
10
00
10
10
10
00
11
10
00
11
00
00
01
00
00
11
11
00
10
10
11
11
00
10
00
10
10
00
00
10
00
11
11
00
10
11
00
00
11
10
01
01
01
01
11
10
11
10
00
01
00
10
10
00
00
10
10
10
10
00
11
10
01
11
00
10
00
00
10
10
11
00
11
00
11
00
10
01
01
00
11
10
01
00
00
10
11
10
00
10
10
00
11
11
10
00
00
01
00
01
10
10
11
10
00
11
11
00
11
01
00
11
11
11
10
00
00
10
10
00
00
00
11
11
11
00
10
01
00
01
11
11
01
11
00
11
10
01
00
01
10
11
00
00
01
10
10
01
11
10
01
10
10
00
00
11
10
10
10
10
10
01
11
11
00
10
00
10
10
00
11
10
00
00
01
01
00
00
11
11
00
01
00
10
11
10
11
11
00
01
00
01
11
10
00
11
11
00
01
01
11
00
10
11
00
00
11
11
00
11
10
00
00
10
10
10
00
01
01
00
00
10
10
10
10
00
01
00
11
11
10
01
00
01
00
00
10
01
00
10
10
01
00
10
00
10
10
01
01
10
11
10
10
11
00
11
10
00
00
00
10
10
00
00
10
11
10
00
00
10
10
00
00
11
00
00
01
10
01
01
00
00
10
10
00
11
00
10
01
00
10
00
00
00
10
00
10
10
00
01
10
11
10
11
11
00
11
11
10
01
11
10
10
10
00
00
00
10
11
00
10
01
11
00
00
00
10
11
11
10
00
00
00
10
00
00
01
01
11
00
01
11
10
00
00
00
10
01
10
10
00
11
00
00
10
11
00
00
10
10
10
00
01
11
00
00
10
10
00
10
10
00
00
00
00
00
01
01
11
10
11
00
10
11
00
11
10
00
01
00
00
11
10
00
00
00
11
11
00
00
10
10
00
00
11
10
00
11
01
10
11
11
00
11
00
01
00
01
10
11
10
01
11
00
01
10
01
00
01
10
00
10
10
00
00
01
10
10
10
11
10
00
01
10
11
00
00
10
10
11
00
00
10
10
10
11
01
11
10
00
00
00
01
10
01
00
01
10
00
00
10
00
00
10
10
10
10
00
11
10
10
00
01
10
10
10
00
01
10
10
01
01
01
01
00
10
11
00
10
10
00
01
10
00
11
10
10
00
00
10
11
00
10
10
11
10
00
01
01
10
10
00
10
10
10
10
00
11
10
11
01
10
00
00
00
01
10
00
10
10
11
11
00
00
01
00
01
10
11
00
00
00
11
01
00
00
11
00
01
00
11
10
01
10
11
00
00
10
11
10
00
10
00
00
10
00
10
00
00
10
10
11
11
11
10
10
10
11
10
10
01
11
01
11
01
00
10
01
10
01
00
10
00
10
11
11
01
00
01
00
11
10
01
10
01
10
11
00
00
10
10
01
00
10
10
11
00
10
00
10
10
01
11
01
11
00
01
10
00
00
00
11
00
00
10
11
01
10
10
00
10
10
11
10
00
01
11
00
00
01
10
10
10
00
10
00
01
01
00
10
11
10
11
00
01
01
00
11
00
10
10
01
00
10
00
01
10
11
00
10
00
10
11
10
11
00
00
00
10
00
11
00
00
10
01
00
00
00
11
11
10
00
10
10
01
11
00
01
11
10
01
01
10
00
10
10
00
00
11
00
00
00
10
10
01
10
01
11
11
10
00
00
10
11
01
10
10
00
01
10
01
01
10
11
11
00
00
00
10
11
00
01
00
10
10
11
11
00
00
01
10
00
01
11
00
00
10
10
00
00
01
00
01
01
10
00
00
01
00
11
10
11
00
01
01
00
00
10
11
10
01
00
10
11
00
01
11
10
01
00
10
00
10
10
00
00
10
10
00
10
10
10
00
10
10
10
10
00
00
11
10
00
11
00
10
00
10
00
10
10
10
00
11
11
00
00
00
00
10
00
00
00
00
01
10
00
00
11
00
00
01
10
10
00
00
01
11
01
10
10
00
00
01
10
11
10
00
00
01
10
01
10
11
01
10
01
00
10
11
10
00
01
00
10
00
00
10
10
01
01
10
10
00
00
00
00
10
01
10
10
10
00
01
00
11
11
01
00
01
01
10
01
01
11
10
01
10
10
00
00
00
00
10
11
10
11
11
10
10
10
01
00
01
11
01
11
00
01
10
10
11
00
01
10
11
00
11
11
11
10
00
11
01
10
10
00
10
10
00
11
10
10
01
00
00
11
11
00
00
00
00
11
11
00
11
11
10
00
00
11
10
11
00
00
10
01
10
11
00
10
00
00
00
11
00
00
00
00
11
11
11
10
10
10
01
01
00
00
10
11
10
11
01
01
00
11
10
00
00
00
10
10
11
10
11
11
11
01
10
01
01
00
10
11
00
01
10
11
00
10
00
00
00
10
11
01
10
11
00
11
11
10
00
01
01
00
10
10
01
10
11
01
01
11
10
00
00
01
10
10
00
00
01
00
11
01
10
10
10
00
11
11
11
10
00
00
10
11
10
00
01
10
11
00
01
10
11
11
01
10
10
10
01
00
11
00
00
01
10
00
01
10
10
00
01
11
10
00
01
10
10
10
10
10
01
01
10
10
00
01
00
11
00
01
00
10
00
10
10
00
10
11
10
10
00
10
01
00
10
10
10
00
01
00
11
10
00
01
01
10
00
01
10
01
01
00
10
11
11
00
10
11
10
10
00
01
01
11
10
00
10
01
10
00
01
10
10
10
00
10
01
01
01
10
00
01
10
10
00
01
10
10
11
00
10
00
00
11
10
00
10
01
00
01
11
10
10
10
10
01
00
01
10
10
11
01
01
00
01
00
01
00
10
10
00
10
11
00
00
10
10
00
00
00
10
10
00
10
11
10
11
00
00
00
10
11
11
10
00
10
10
00
11
11
01
10
10
00
00
01
10
11
00
11
00
10
00
10
00
00
11
11
10
01
01
10
10
00
10
10
00
01
10
00
00
01
10
10
01
10
10
10
00
00
10
01
10
00
00
10
10
01
01
10
00
00
11
10
10
00
11
10
00
11
11
10
10
10
00
00
11
11
10
01
01
11
11
11
00
00
00
00
00
10
11
11
10
10
01
10
11
11
10
00
10
00
11
11
00
01
01
10
01
00
01
10
00
00
11
01
01
11
10
11
00
00
00
00
11
10
00
00
10
10
00
00
10
11
00
01
00
10
01
00
01
10
00
01
00
00
10
01
00
10
00
00
11
01
10
10
10
11
00
00
11
00
10
00
00
10
10
00
00
10
10
10
10
00
00
00
10
11
00
00
00
10
01
00
00
10
01
01
10
11
00
00
11
10
00
00
00
11
10
00
10
00
01
01
10
11
00
10
01
00
10
00
00
10
01
00
00
10
00
00
10
11
10
10
01
00
10
11
00
01
01
10
11
10
00
11
10
01
01
10
10
10
00
00
00
10
11
00
10
10
01
10
10
11
10
00
00
00
00
00
11
10
00
01
10
00
01
01
10
11
00
01
10
10
10
10
01
00
00
11
01
00
10
10
00
01
11
11
01
01
10
10
10
00
00
10
10
01
00
00
11
00
10
00
11
01
10
10
00
11
11
00
00
10
00
10
00
00
11
10
00
00
11
10
10
01
10
00
01
00
01
00
10
10
00
01
01
00
10
00
01
00
10
11
00
11
10
01
01
11
00
10
00
01
00
10
01
11
10
01
00
10
00
10
00
10
10
00
11
10
00
00
00
00
01
10
10
00
10
10
10
00
00
10
10
01
00
10
01
10
01
10
11
10
01
01
01
10
00
10
10
10
00
00
10
10
00
10
00
01
10
10
00
11
00
01
00
11
00
10
10
00
00
01
10
01
10
01
00
00
01
00
01
10
10
00
00
11
00
10
00
01
00
11
11
10
10
11
10
00
11
00
11
00
10
11
10
00
00
01
00
10
10
01
01
10
10
10
00
10
01
00
10
00
10
00
00
10
11
11
10
01
01
10
00
10
11
00
00
10
00
10
01
00
00
00
10
01
00
00
01
01
11
00
10
11
00
10
00
10
11
10
10
10
00
11
10
00
10
10
01
10
11
01
10
10
00
10
11
00
01
11
00
10
11
00
01
01
10
11
11
00
00
11
00
10
10
01
11
11
11
00
10
01
10
01
00
10
11
10
00
00
10
10
11
00
00
10
11
00
00
00
10
00
10
01
00
10
00
00
10
10
10
10
01
00
01
01
10
00
00
01
01
00
00
11
01
10
10
10
11
00
10
00
01
11
11
01
01
00
10
10
11
10
01
10
10
10
00
10
00
00
01
00
10
10
01
10
10
00
00
10
10
00
10
10
00
10
00
01
01
11
01
11
11
01
10
11
00
00
11
10
00
01
00
10
10
00
10
01
10
10
01
00
01
11
10
00
01
11
11
00
00
01
01
10
00
10
11
00
01
10
10
10
11
01
01
00
10
10
01
00
00
10
11
00
00
01
10
10
01
00
01
10
01
10
00
10
11
00
00
10
01
01
11
00
10
01
00
11
10
10
10
11
00
10
00
11
00
10
00
00
10
11
00
10
11
00
11
00
10
10
01
00
11
10
00
10
10
10
00
00
11
01
00
10
00
10
00
10
10
00
11
10
10
00
10
01
01
01
11
00
11
11
00
10
00
00
11
01
11
10
10
10
11
01
00
00
11
11
11
10
10
10
11
00
00
10
00
01
00
10
11
00
10
00
10
10
10
00
01
01
10
11
00
01
10
00
01
00
10
11
10
00
01
10
10
01
00
11
10
00
00
10
11
01
01
10
11
11
10
01
00
10
00
10
11
00
00
10
11
01
01
10
00
10
10
00
00
10
01
11
11
00
01
00
00
11
01
10
10
10
10
11
00
00
11
10
01
10
00
00
00
01
10
11
01
00
00
10
01
11
11
11
01
01
10
10
10
00
10
10
00
01
10
10
00
00
11
00
11
01
11
10
10
10
11
01
00
11
11
00
01
10
00
00
10
00
00
11
10
10
10
11
10
01
01
11
10
11
00
10
11
01
00
11
10
10
01
00
00
00
10
11
00
00
00
10
10
01
11
10
01
00
00
10
10
00
11
00
00
10
10
11
10
10
00
00
00
10
10
11
10
00
10
00
10
01
01
11
11
01
00
00
10
01
00
01
00
10
10
10
00
10
11
00
10
01
01
10
10
10
11
10
00
00
10
11
01
11
00
11
10
10
10
01
01
00
01
11
10
11
01
01
10
00
11
00
10
01
11
10
00
01
10
00
10
11
01
01
11
10
00
00
00
10
01
00
10
10
01
01
11
00
10
01
10
10
00
00
10
00
10
10
00
10
10
00
00
11
00
10
00
11
10
10
00
10
01
00
10
10
01
00
01
11
10
10
10
00
10
10
01
00
10
11
10
01
00
01
10
01
10
10
00
01
10
10
00
10
01
00
01
00
11
11
00
10
10
10
00
10
10
10
00
00
01
11
01
01
00
10
00
10
00
00
11
11
11
00
11
00
00
10
10
00
00
00
11
11
01
00
11
00
11
00
11
10
00
00
00
11
10
11
00
10
10
01
00
10
01
00
10
00
11
10
01
00
10
10
00
10
10
11
00
00
10
11
10
11
01
00
11
10
10
00
00
10
10
00
00
10
00
10
11
10
01
00
01
10
11
00
00
00
10
00
01
00
10
10
01
10
00
00
00
10
01
00
10
00
01
01
10
10
10
11
00
10
01
10
00
10
10
00
00
10
10
10
10
00
00
00
11
10
10
01
01
11
00
01
10
10
00
00
11
10
01
11
10
00
10
10
01
00
10
10
11
00
00
00
11
10
01
11
11
00
01
00
01
00
10
11
00
10
01
11
01
01
10
11
00
00
01
01
11
10
11
10
10
11
10
00
00
00
10
11
01
10
01
00
00
10
01
10
11
10
01
11
11
00
00
10
10
01
00
00
11
10
10
01
00
00
10
10
10
11
01
01
10
10
11
00
11
10
01
00
00
10
00
00
11
00
01
00
10
00
11
11
01
10
10
11
01
10
10
10
10
10
00
00
00
10
10
01
11
01
11
00
01
00
11
10
00
00
10
00
00
11
01
10
11
10
11
10
00
00
10
00
10
00
10
01
00
01
00
00
01
11
11
11
10
01
10
11
10
10
01
00
00
10
01
00
10
00
00
00
10
10
00
01
00
01
10
10
10
00
01
10
11
00
10
10
01
11
11
10
00
01
00
00
10
11
01
10
10
01
00
10
10
00
00
11
10
00
10
11
10
10
00
00
01
10
01
10
10
10
01
01
00
00
10
11
10
10
00
11
11
01
11
10
11
00
11
10
01
11
10
00
00
00
11
10
00
01
10
00
00
01
10
10
10
00
11
01
00
10
10
00
10
01
01
00
11
01
11
10
00
11
00
00
10
11
00
00
10
00
00
10
01
10
00
00
10
00
00
01
11
00
00
11
10
10
10
10
01
00
00
01
10
11
10
10
10
10
00
01
10
10
00
10
10
11
11
01
00
11
00
10
10
01
11
11
11
00
01
10
00
10
01
00
10
00
01
00
10
00
10
00
00
00
01
01
10
01
01
01
11
10
10
00
00
11
11
00
00
10
01
00
10
10
10
10
10
00
10
01
00
10
00
10
00
01
00
00
11
00
11
00
00
10
01
10
00
00
10
00
10
01
00
10
00
01
00
00
00
11
10
00
00
11
00
00
10
10
00
01
00
00
10
10
00
01
11
00
11
00
00
11
10
10
11
10
00
10
10
01
00
00
11
01
10
10
10
11
00
10
00
00
00
10
10
10
01
00
00
10
10
00
01
00
00
10
11
00
01
10
10
01
01
01
11
11
01
00
11
01
00
10
11
00
00
00
11
10
00
00
11
10
00
00
11
11
00
00
01
00
11
11
01
10
00
01
10
01
01
01
00
00
00
10
01
11
10
10
10
11
01
01
00
01
10
10
00
10
11
10
10
00
10
01
00
00
00
10
00
11
11
11
00
00
00
10
10
01
01
10
10
01
10
10
00
11
00
01
00
10
00
00
01
00
11
10
11
11
11
10
11
11
10
10
00
11
10
01
00
10
00
00
01
01
11
10
10
00
01
01
11
10
00
00
00
01
11
11
00
10
01
00
11
00
00
10
10
10
01
11
10
00
00
10
10
01
00
11
00
10
00
00
10
10
00
10
00
00
00
00
00
00
11
10
00
00
00
00
00
00
11
00
01
01
00
11
01
00
10
10
00
11
00
00
11
01
01
01
00
00
01
10
00
00
10
10
00
10
10
11
10
10
00
00
10
00
10
10
10
11
10
10
00
11
00
00
10
11
01
11
10
00
00
11
01
11
01
00
00
11
00
00
10
10
01
10
01
10
10
11
00
10
10
00
00
11
00
10
11
10
00
01
01
11
10
10
00
10
00
00
10
00
11
11
10
10
11
00
00
10
11
00
11
01
10
11
10
00
00
10
00
00
10
10
11
00
01
00
10
10
00
10
10
10
00
01
00
00
10
10
10
10
00
00
11
11
00
11
11
10
01
10
00
00
10
10
11
10
00
01
00
10
10
11
11
10
01
11
10
10
00
10
10
00
00
00
10
00
00
10
00
00
00
10
10
00
01
11
11
01
11
00
10
10
00
00
01
11
11
10
01
10
10
10
00
00
10
00
00
01
10
01
00
10
10
00
00
00
01
10
10
00
00
10
11
10
00
00
01
10
10
11
10
10
11
11
01
10
01
00
11
11
10
01
00
01
01
01
10
10
10
00
00
10
01
01
10
10
10
11
00
00
10
00
00
10
10
10
10
00
01
10
00
00
01
10
10
10
00
01
10
11
11
01
11
10
00
10
01
00
10
11
10
10
00
00
01
00
01
01
10
10
00
10
11
00
01
10
11
01
00
11
10
00
00
00
10
10
10
11
00
11
00
00
10
00
10
01
01
10
00
10
01
00
00
00
00
10
11
00
10
00
00
01
00
10
00
00
00
01
11
10
10
01
01
00
10
10
01
01
10
10
01
10
10
00
00
01
01
00
11
10
01
00
00
01
11
01
00
10
10
11
01
11
10
00
10
10
01
00
01
10
10
01
00
11
10
01
00
00
01
11
00
01
11
10
00
00
10
11
00
01
10
10
10
10
11
00
10
10
00
00
00
00
01
10
10
00
10
01
10
11
01
10
00
01
01
10
01
00
10
10
10
00
01
10
10
00
10
00
10
00
00
10
00
00
11
01
00
01
00
10
10
10
10
00
00
10
00
00
10
01
00
11
01
10
00
00
01
10
11
00
10
00
01
10
10
10
00
00
00
10
10
10
10
01
11
10
11
10
00
10
01
00
10
10
00
11
00
01
11
00
00
00
11
00
10
11
11
10
01
10
01
10
01
10
00
01
00
11
10
00
00
01
00
00
10
11
00
10
11
10
10
00
00
10
11
10
10
00
00
00
10
00
00
00
10
00
00
10
00
10
01
10
11
01
10
11
10
10
10
00
00
01
00
10
10
01
01
00
10
00
11
00
00
11
00
10
10
11
11
10
10
00
00
11
01
11
01
00
01
00
11
10
10
00
00
11
01
10
01
01
10
00
10
10
10
00
00
00
00
11
00
00
00
11
11
10
00
10
00
00
11
10
10
11
01
10
11
00
00
11
00
10
10
00
00
01
01
01
00
11
00
00
10
00
00
10
10
00
01
10
11
10
00
01
11
11
01
00
00
00
10
10
10
00
00
10
00
11
00
11
00
01
10
01
01
10
00
01
10
10
01
01
10
01
01
01
00
10
00
10
11
11
10
00
00
00
11
01
11
00
00
11
00
01
00
10
10
10
10
01
10
10
00
00
01
00
11
11
00
00
00
10
11
00
00
01
00
10
00
01
11
00
01
10
00
01
10
11
01
01
10
00
11
10
00
00
11
00
00
10
10
10
10
00
00
00
11
00
00
10
00
11
10
00
00
00
11
10
10
10
11
00
01
10
10
10
10
10
01
01
10
10
01
00
00
11
00
01
10
01
11
10
00
01
11
10
11
00
00
01
01
11
10
00
10
01
10
00
00
00
00
11
10
00
01
10
01
10
01
10
10
10
10
01
11
11
01
00
00
01
10
10
10
10
00
00
10
10
01
00
10
01
11
01
00
00
10
11
10
00
00
10
00
00
11
11
11
10
00
01
00
11
10
00
00
01
11
10
10
01
11
11
01
00
10
01
01
00
10
10
00
00
00
01
01
10
11
00
01
00
10
10
01
00
10
10
00
00
10
10
00
00
00
10
00
10
00
10
00
00
00
10
11
10
00
01
10
10
01
00
00
11
00
00
10
10
00
10
11
10
10
11
11
01
01
10
10
11
00
01
00
11
01
10
11
10
11
01
10
00
01
10
11
10
00
00
01
10
11
10
00
10
11
10
00
00
10
01
00
11
00
10
00
01
10
00
00
11
00
10
01
00
01
10
01
00
01
01
10
00
00
00
01
01
11
11
00
11
10
11
10
10
10
10
00
01
10
10
01
00
01
01
10
10
01
01
10
11
00
01
00
00
10
10
10
00
10
00
00
10
00
01
01
00
00
00
00
00
10
10
10
10
00
00
01
11
10
00
00
01
00
11
00
11
10
10
00
01
10
11
01
00
10
10
11
00
10
10
00
00
01
00
01
10
10
11
10
11
10
10
00
00
00
10
00
00
10
11
00
11
10
10
00
10
10
10
10
11
01
00
10
11
01
01
00
00
01
11
11
10
01
00
10
01
00
10
10
00
10
11
10
11
11
00
11
10
10
01
11
01
01
01
10
10
01
10
01
11
00
01
01
10
00
00
10
00
01
11
00
11
11
01
01
01
00
11
01
01
10
10
00
00
10
10
00
01
10
10
00
00
01
00
00
11
10
00
10
10
11
10
11
00
00
00
00
00
00
10
10
11
00
01
00
11
10
01
00
11
01
00
00
00
10
10
10
01
01
01
00
11
10
10
11
10
00
11
01
00
01
00
10
00
11
00
00
00
10
00
00
10
00
10
11
00
11
10
10
11
10
01
10
00
00
00
10
00
01
11
00
11
01
00
01
00
01
10
10
11
10
11
10
00
00
10
01
01
01
10
01
00
01
00
10
10
01
00
11
00
00
11
00
10
01
00
10
00
10
00
10
10
00
01
11
00
00
10
11
10
00
10
10
00
01
00
01
01
11
00
00
10
10
10
01
01
00
11
10
10
00
01
11
01
00
10
10
10
10
00
00
00
10
11
10
00
01
10
00
00
10
10
10
10
00
00
01
10
11
00
01
11
10
10
00
10
11
11
00
00
11
00
00
10
00
01
10
11
00
00
00
00
11
01
00
10
00
00
11
10
00
00
00
00
10
00
10
00
10
00
01
10
10
00
11
00
00
10
11
00
00
11
10
00
00
11
11
01
01
00
10
11
01
00
00
11
10
00
11
00
10
10
00
01
00
00
00
10
01
00
01
10
11
00
10
00
00
00
10
00
00
10
10
00
10
11
01
11
11
11
00
11
11
10
00
11
11
00
10
10
00
11
11
10
00
01
11
11
10
00
00
10
10
00
11
10
00
00
11
11
01
10
11
00
11
00
11
01
00
11
10
10
00
01
10
00
00
10
10
10
01
01
00
01
10
00
00
00
10
11
11
01
00
10
00
10
10
10
00
00
11
01
00
00
10
10
10
10
01
01
11
10
00
10
10
00
00
00
11
10
01
01
10
01
01
00
00
10
10
00
10
10
11
10
00
00
10
10
00
11
10
10
01
00
10
01
10
10
10
01
10
00
01
11
00
01
00
11
00
10
00
00
11
10
01
01
10
11
11
11
00
00
00
10
11
00
10
10
01
01
10
11
00
10
00
10
01
01
00
11
11
11
00
11
01
01
10
10
11
00
00
10
10
10
00
10
00
11
10
00
00
11
00
10
01
10
11
10
11
11
10
11
00
11
11
11
01
00
10
01
10
10
10
00
01
01
10
11
10
10
10
00
00
00
11
10
10
01
11
00
01
10
11
10
00
00
00
11
10
00
00
01
00
00
11
10
11
10
01
00
00
10
10
01
00
00
11
00
10
10
00
11
10
10
01
10
00
00
00
10
10
00
10
01
11
10
10
10
00
10
10
00
10
11
00
01
11
00
01
11
00
00
10
11
11
10
00
00
10
10
00
10
00
00
00
00
00
10
00
10
00
00
00
00
01
10
10
00
00
10
00
00
10
10
01
00
00
01
00
01
00
10
10
10
01
10
00
00
10
00
10
00
11
11
11
11
00
10
00
10
01
10
11
10
00
00
11
10
00
10
11
10
00
00
10
00
01
11
00
10
10
00
10
00
10
11
00
00
10
11
11
00
11
10
11
10
11
00
00
00
00
00
11
10
00
01
00
00
11
10
10
10
00
00
10
01
11
10
00
10
11
01
01
00
00
10
11
01
01
10
10
00
11
10
00
01
10
00
00
11
10
01
00
11
00
10
01
01
01
10
10
00
01
11
10
00
11
10
10
00
11
10
11
11
11
11
01
10
00
01
11
11
00
00
10
10
00
11
11
00
00
00
01
00
10
10
10
00
10
10
10
00
10
10
00
01
00
00
10
01
00
01
10
11
00
01
00
11
11
01
11
10
00
00
10
10
00
00
10
10
00
00
11
00
10
11
00
10
10
00
10
10
01
01
00
00
10
00
01
10
00
11
00
00
00
10
00
10
10
00
00
11
00
00
00
01
11
11
00
00
10
01
00
00
10
00
00
10
01
00
11
10
01
10
00
10
01
00
11
11
01
11
10
10
00
10
00
00
11
10
11
00
10
01
00
10
10
00
00
00
00
01
01
10
00
00
10
10
10
01
00
11
00
00
00
01
10
01
00
10
10
10
11
00
10
10
10
10
10
10
00
00
10
10
00
11
10
00
10
11
00
11
00
00
10
11
00
10
10
11
10
00
01
11
01
11
01
00
10
00
10
10
00
10
10
10
00
01
00
01
11
00
10
10
00
10
01
01
10
01
01
10
00
01
00
01
10
11
11
10
01
11
10
01
00
00
10
01
00
10
11
10
10
10
10
00
01
00
10
10
00
10
10
11
01
01
11
00
10
01
10
11
01
00
10
10
10
10
00
01
01
00
10
00
01
10
10
00
00
11
11
11
00
00
00
00
01
01
10
00
10
10
11
00
01
10
11
01
10
01
10
10
01
00
11
00
00
11
10
10
10
00
01
11
01
01
10
00
01
00
00
01
10
10
01
00
00
10
00
10
11
00
01
00
11
01
00
10
11
11
01
11
10
01
00
01
11
10
01
11
01
10
00
00
11
00
00
01
01
10
00
00
10
00
11
10
00
10
10
10
00
10
10
00
00
01
10
10
01
01
11
00
01
10
00
10
01
11
00
00
10
00
00
10
00
01
10
01
10
01
10
01
00
00
01
10
10
10
10
00
10
00
11
11
11
10
10
10
00
10
10
00
11
11
11
00
00
00
11
10
00
10
10
00
00
01
11
11
00
01
10
01
00
10
00
01
00
11
10
11
00
11
10
01
10
10
00
00
00
10
01
00
11
00
01
00
11
00
00
00
10
10
00
00
10
10
01
00
00
11
11
00
00
11
10
00
00
11
00
10
01
01
10
00
00
10
00
01
10
10
00
10
00
11
00
11
10
00
10
00
01
10
11
00
00
10
00
11
00
11
01
10
10
10
10
00
00
11
10
01
01
10
00
11
10
11
10
01
10
10
10
01
00
11
00
11
01
00
00
10
00
00
00
01
10
10
10
00
11
01
00
11
11
10
11
00
11
00
11
10
10
01
01
11
10
01
00
10
00
10
10
01
01
10
10
01
00
00
10
10
10
00
01
00
10
01
00
10
00
10
11
01
00
10
10
11
10
00
00
00
10
10
11
01
00
11
10
01
01
00
00
10
01
10
01
01
10
01
01
10
11
00
00
01
10
10
10
00
01
00
00
00
10
00
10
10
00
00
10
11
00
00
01
00
01
10
10
00
00
00
10
10
00
10
00
11
00
01
10
00
10
10
11
00
00
10
00
10
00
10
10
11
01
01
01
00
11
00
00
00
11
10
01
10
00
00
00
11
10
10
00
11
00
00
10
00
00
11
11
10
10
00
10
10
00
10
00
11
00
10
10
11
00
11
00
00
11
00
10
10
00
10
10
01
10
00
11
00
01
10
00
00
10
11
11
00
01
00
00
01
00
10
01
00
10
10
10
01
10
10
00
00
10
10
00
10
11
11
10
11
00
00
00
00
01
11
11
00
00
11
11
11
00
00
10
11
00
11
10
01
10
11
11
00
11
00
11
11
11
00
00
00
10
00
01
10
11
01
01
00
00
10
10
01
01
01
10
10
00
00
00
10
11
00
10
10
00
10
10
01
11
01
00
11
11
00
00
10
10
00
00
11
10
11
00
00
01
01
00
10
10
00
11
01
10
00
00
10
10
01
00
01
10
10
11
11
10
10
10
01
10
01
01
00
10
10
00
00
10
10
00
00
11
10
10
10
10
10
10
00
10
10
01
00
10
10
10
00
10
01
10
10
11
01
00
10
01
10
00
00
11
11
00
00
10
01
11
01
10
00
11
11
00
00
10
10
01
10
00
11
10
00
00
10
00
01
00
11
10
00
00
10
10
10
10
00
00
10
11
00
10
10
10
10
10
10
00
00
10
11
00
01
10
00
01
10
10
10
01
00
01
00
10
11
00
11
01
10
11
10
00
10
10
01
00
10
01
00
00
11
11
00
10
10
00
10
10
10
01
01
11
10
10
10
10
00
00
00
11
11
01
10
11
10
01
01
11
11
01
10
10
00
00
00
10
10
00
00
10
00
00
10
10
00
00
11
00
11
11
00
10
01
00
01
10
00
01
00
10
10
00
10
10
01
11
10
01
10
00
11
01
11
00
00
11
10
10
10
00
01
00
01
10
11
00
11
00
01
00
10
11
00
00
00
01
10
00
01
01
00
01
10
10
01
11
01
10
01
01
01
00
00
01
00
01
11
11
00
11
11
01
10
10
10
00
10
11
00
01
01
11
00
11
11
10
00
00
00
10
00
00
11
10
10
11
11
10
01
01
10
00
00
10
01
00
11
00
01
11
11
10
00
10
10
01
10
00
00
10
10
00
10
10
00
00
00
01
01
10
10
00
10
10
01
10
10
10
00
00
01
00
10
10
00
10
10
00
11
10
00
00
10
00
00
11
10
00
00
11
11
00
10
10
00
00
10
01
00
00
01
00
01
00
10
11
10
00
10
01
00
11
10
10
10
01
10
01
10
10
10
01
10
01
00
11
01
01
10
10
10
01
00
00
10
11
00
01
00
11
10
11
11
00
00
11
00
00
10
11
11
10
11
00
00
11
11
00
00
10
10
11
01
01
00
11
10
11
10
10
10
00
10
11
00
01
11
00
00
00
01
01
11
10
00
10
11
10
01
10
10
00
10
10
10
11
00
00
00
10
01
01
00
10
10
01
01
10
11
00
01
00
01
10
00
00
01
00
10
11
01
10
11
00
11
01
10
10
00
01
10
10
11
00
10
11
01
11
01
00
10
10
01
00
11
11
00
00
10
10
00
11
11
10
10
00
00
10
00
00
10
11
00
00
00
00
11
10
10
01
11
01
00
10
01
00
10
11
10
00
00
10
00
10
10
11
10
00
01
00
10
01
00
10
01
01
11
01
00
00
00
01
10
10
00
01
11
11
10
00
01
10
00
10
10
10
10
00
00
11
11
10
10
10
10
00
00
00
11
10
01
00
10
10
01
11
10
10
11
01
11
10
00
01
10
00
10
10
11
01
10
00
10
10
10
00
01
10
00
10
11
01
10
10
10
00
00
00
11
10
10
10
10
00
00
11
00
11
10
00
11
10
10
00
00
11
00
01
10
00
00
11
11
00
00
00
00
00
10
10
00
01
00
11
01
10
10
00
10
00
00
10
11
10
00
00
01
00
11
01
00
10
11
00
00
10
10
10
00
11
10
00
00
11
11
10
10
01
01
00
11
11
00
00
00
00
10
00
01
10
01
00
11
00
10
00
11
10
01
00
10
00
00
10
00
00
11
10
01
00
00
10
00
00
11
01
10
10
00
11
10
00
01
01
11
10
00
01
00
11
10
01
00
00
01
10
00
10
10
00
00
00
00
10
00
10
10
00
01
00
01
10
10
11
11
00
00
01
10
00
11
11
01
00
01
10
10
00
00
00
10
10
00
10
00
01
11
00
10
01
10
10
11
10
01
11
00
00
01
11
01
01
10
00
11
01
00
10
10
10
10
11
00
01
10
01
00
00
11
11
10
00
11
00
11
10
00
11
00
11
01
01
10
10
11
01
00
10
10
00
00
00
00
10
11
00
00
10
00
01
00
00
00
01
00
10
00
10
10
00
00
00
01
10
01
11
11
10
01
00
10
00
10
10
00
00
10
11
00
00
00
00
01
10
10
01
00
00
00
10
10
00
00
01
00
01
01
01
00
00
11
10
01
00
11
11
00
10
10
00
00
11
01
01
00
01
01
10
01
11
10
01
10
00
10
10
11
10
11
01
11
11
01
11
10
00
00
10
01
11
01
00
10
00
11
10
11
01
00
01
01
10
01
10
10
00
00
10
00
00
00
00
10
01
10
00
10
00
00
11
10
11
10
00
10
00
11
01
00
10
00
10
10
10
00
01
11
00
11
00
00
00
10
10
01
10
10
00
11
01
10
10
01
00
11
00
00
10
10
11
00
01
10
10
10
10
00
10
01
00
01
10
10
00
00
01
11
10
10
10
00
00
10
00
10
01
11
11
01
11
00
00
01
11
11
00
10
00
00
00
01
11
10
00
00
00
10
01
10
01
10
11
00
10
00
00
10
10
01
00
00
10
00
00
10
00
11
10
10
10
00
01
10
00
11
10
10
00
00
01
00
11
00
00
00
11
11
00
10
10
10
01
00
01
00
10
11
01
11
00
00
10
11
10
11
01
00
11
11
11
00
01
10
10
10
01
00
10
10
10
10
01
10
00
01
10
00
00
00
10
10
00
00
00
01
10
10
01
10
10
01
10
11
00
00
10
10
01
00
11
10
10
00
00
01
10
10
01
11
10
00
00
10
00
01
01
01
10
00
11
10
10
00
10
01
10
10
10
01
10
00
10
00
01
11
11
10
01
00
10
00
00
11
10
00
00
10
10
01
10
00
10
00
10
11
11
00
00
11
00
11
01
11
11
01
10
00
00
10
00
00
11
11
10
11
10
10
01
01
10
11
11
00
00
11
00
00
11
10
10
10
10
01
11
00
00
01
10
11
10
11
00
00
00
01
10
11
10
00
10
10
01
10
11
00
00
11
01
11
11
00
00
10
00
10
10
00
00
10
10
10
00
11
10
00
10
10
00
01
00
01
01
10
10
00
01
00
10
10
00
11
01
11
10
01
00
00
00
00
10
00
00
10
10
10
01
01
10
11
10
00
11
01
10
11
00
00
00
01
10
10
10
11
01
00
11
00
10
01
00
10
01
01
10
11
00
01
10
10
00
10
00
00
11
11
00
10
10
10
10
00
01
10
10
00
00
01
00
10
10
01
01
00
01
10
01
00
11
10
11
01
10
10
01
10
10
10
00
10
00
01
10
10
01
01
11
00
10
11
00
00
10
11
00
01
10
11
10
11
10
00
11
00
00
10
00
00
10
10
00
00
00
11
01
00
01
10
10
11
11
00
11
10
10
10
00
00
00
11
11
00
00
10
10
00
10
10
10
01
00
10
10
01
10
00
00
00
00
11
00
10
00
11
01
10
10
01
00
10
10
00
10
01
11
00
10
00
01
10
11
10
10
01
00
01
10
00
00
01
10
00
01
10
11
00
10
10
01
01
10
01
01
00
00
01
10
10
00
01
10
01
01
00
10
00
01
00
10
10
10
00
10
00
10
11
00
00
10
10
01
00
00
00
11
10
01
00
11
00
00
10
10
00
00
11
10
00
10
10
11
11
00
00
10
10
01
01
00
11
11
10
01
10
10
00
10
10
01
01
10
10
10
11
10
11
01
01
00
01
10
01
00
01
01
00
00
11
00
11
01
01
11
00
10
00
00
11
00
00
10
10
10
11
00
01
01
10
10
00
11
10
11
00
10
11
01
11
10
00
00
00
10
00
00
11
10
00
10
11
10
00
10
00
00
00
10
11
00
00
01
10
11
00
00
11
01
00
10
10
00
00
10
00
01
10
01
11
11
10
10
00
10
00
00
10
00
11
00
00
11
10
11
01
10
00
11
11
10
00
01
10
10
10
00
10
10
00
11
00
00
00
11
00
10
00
00
00
01
11
11
10
11
11
01
01
10
10
10
10
00
00
00
10
00
00
10
00
00
00
11
10
01
00
00
10
10
00
01
00
10
00
10
11
00
01
01
10
10
10
01
01
10
10
00
00
00
10
01
10
00
10
00
00
10
01
01
10
01
01
10
11
10
10
01
10
10
01
00
10
01
00
01
10
10
10
11
11
00
11
11
00
01
00
10
10
10
10
10
11
01
10
11
10
00
00
11
11
11
01
01
10
00
00
00
01
11
01
00
10
10
00
10
10
00
00
00
00
10
01
00
10
01
11
00
00
11
11
00
00
00
10
10
01
00
10
10
10
10
01
00
11
10
00
00
10
10
00
11
00
01
11
10
01
11
00
10
00
00
00
00
11
10
11
00
10
10
10
00
00
00
01
10
11
00
10
00
00
10
10
01
00
10
10
10
00
10
00
00
00
10
01
01
11
10
00
10
10
11
00
10
10
11
00
01
10
00
01
10
11
11
11
00
10
10
10
01
00
11
00
11
10
10
10
01
11
10
10
10
01
10
10
00
00
10
10
10
11
00
00
01
10
10
10
11
01
10
10
00
10
10
10
00
00
10
00
00
11
00
01
11
10
11
01
10
00
00
10
11
10
00
00
10
00
00
11
10
01
00
10
11
01
10
10
00
00
00
11
10
00
01
01
11
01
10
10
10
00
10
00
00
10
01
01
11
10
10
10
00
10
01
00
00
01
10
10
11
11
01
11
00
10
00
00
00
10
11
00
00
00
10
10
01
10
10
11
00
00
01
00
10
10
01
10
11
00
01
00
10
00
10
10
00
10
01
10
00
10
10
10
11
01
01
01
11
10
01
10
10
01
01
10
10
00
00
10
10
00
11
10
00
10
10
11
00
11
00
11
00
01
00
01
00
10
10
01
00
11
00
00
01
10
10
00
10
10
01
01
00
00
10
10
10
10
11
00
00
10
11
00
00
00
11
00
10
00
11
00
10
10
00
10
11
00
10
11
00
10
00
11
01
11
10
00
01
00
00
00
11
11
10
01
00
11
00
00
10
01
00
11
00
11
10
01
10
10
10
00
10
00
00
11
00
01
01
10
01
10
01
00
10
11
10
01
00
10
11
00
00
10
11
00
10
11
01
11
10
10
00
01
10
11
10
10
00
10
00
10
00
01
11
10
01
01
10
10
10
10
00
00
11
01
10
11
00
10
01
00
00
00
10
10
10
11
01
11
10
11
00
00
00
00
00
10
10
01
00
10
01
00
00
11
10
01
01
00
10
10
11
10
00
01
10
11
00
11
10
11
00
10
10
01
01
11
01
00
01
10
00
11
10
01
00
10
10
10
00
10
11
00
10
00
10
10
00
10
00
11
10
11
10
00
10
10
00
00
00
00
10
00
10
11
10
10
10
00
10
00
00
01
10
11
01
00
10
00
10
00
00
10
01
11
11
01
00
00
00
00
11
10
00
00
00
10
10
11
11
00
00
10
11
01
11
01
00
10
10
01
10
10
00
10
11
10
10
00
11
11
10
10
00
01
01
01
10
00
10
10
11
11
00
00
11
10
01
10
11
01
00
00
00
10
10
00
00
11
10
11
10
00
00
01
10
11
10
00
10
00
10
01
01
10
00
10
10
00
10
01
00
11
10
10
10
10
10
01
11
01
10
11
10
01
00
11
10
01
00
00
10
10
01
00
10
00
00
10
10
01
01
10
10
01
11
10
00
10
10
10
10
00
00
10
10
10
01
10
10
00
10
00
00
10
01
10
01
01
10
01
00
00
01
00
01
00
10
10
10
00
00
10
10
10
10
11
00
00
01
00
10
01
11
00
01
10
10
00
01
10
00
01
10
11
10
10
00
11
00
00
00
11
11
10
11
10
11
00
10
00
11
00
00
00
10
10
01
00
00
10
11
10
00
11
10
00
10
00
01
10
11
11
01
00
00
00
10
01
00
10
10
00
00
10
11
10
01
11
10
11
00
00
10
01
00
10
10
00
00
10
00
11
10
10
01
01
00
10
00
00
10
01
10
10
00
01
00
10
10
10
01
01
10
10
11
11
01
01
00
10
10
00
00
10
10
00
11
11
10
11
01
01
00
00
11
00
10
10
01
10
10
10
10
00
10
00
01
11
11
00
10
01
00
10
10
01
00
01
10
11
00
01
10
10
01
00
00
00
01
10
00
10
00
00
00
10
00
11
01
10
00
10
10
11
10
00
00
00
11
00
01
01
00
11
10
11
10
10
00
00
10
11
01
01
00
11
11
10
00
11
10
00
11
11
00
11
00
10
00
01
01
10
10
00
01
10
11
01
10
10
00
00
11
00
10
00
00
10
01
10
00
11
10
00
10
11
00
10
00
00
11
00
01
10
01
10
10
00
00
10
10
01
00
11
00
00
10
10
00
10
00
11
10
00
11
01
10
00
10
01
01
10
10
10
01
01
10
01
00
11
10
10
10
10
11
01
11
11
10
00
01
00
11
11
00
11
10
01
01
11
11
01
11
10
01
00
01
01
10
10
00
01
10
11
10
11
00
11
10
00
10
10
01
10
10
00
00
10
10
00
00
10
10
00
01
11
01
10
10
10
00
11
00
00
10
10
01
01
00
10
10
10
10
00
11
10
01
00
11
11
10
10
10
10
10
11
00
10
00
00
11
10
01
10
00
00
10
00
10
01
00
00
00
00
00
00
11
10
00
10
10
01
10
11
10
01
00
10
10
11
00
11
01
00
11
00
10
11
10
01
01
00
11
10
11
00
00
11
10
10
00
01
10
11
00
01
01
10
11
10
01
01
10
10
10
01
00
10
01
10
10
01
10
10
00
00
00
10
10
01
00
10
11
00
10
10
10
10
01
00
10
00
01
10
10
00
00
11
01
00
10
11
10
00
10
00
01
00
01
10
00
00
01
10
10
01
11
10
01
10
11
00
10
11
10
00
00
00
00
10
00
00
00
00
10
00
10
10
00
10
11
01
00
01
00
00
10
00
11
11
00
00
10
10
10
10
00
01
11
00
00
00
11
10
00
00
00
01
10
11
00
01
01
10
10
00
10
10
00
00
11
10
00
00
10
11
10
11
10
00
00
10
00
00
00
10
01
10
01
11
01
10
11
11
01
00
10
00
00
00
10
10
00
00
00
01
10
10
11
11
00
10
10
00
00
00
10
10
00
11
00
00
00
10
11
10
10
00
01
10
10
10
01
11
10
01
00
00
10
01
00
10
10
11
00
00
01
01
00
11
10
11
00
00
00
10
10
00
01
10
11
00
01
11
00
10
11
01
00
01
00
11
00
00
10
00
01
00
01
10
10
11
10
11
00
10
10
11
10
00
11
10
01
01
10
11
11
01
01
11
10
00
10
00
01
01
11
11
10
10
10
01
00
11
00
00
00
11
10
01
01
10
10
00
01
00
10
10
00
00
01
10
10
10
11
10
11
01
00
01
11
11
10
10
00
01
00
10
00
10
11
11
00
10
00
00
10
00
01
11
00
10
10
11
10
00
00
00
10
10
01
10
11
01
00
00
10
01
00
10
10
11
00
11
01
00
10
10
11
00
10
11
00
01
10
11
10
11
01
00
01
11
00
00
11
01
00
00
01
10
10
00
00
01
00
10
11
00
00
01
00
00
01
00
11
10
00
01
00
00
01
10
00
10
10
11
00
00
11
00
10
01
01
00
10
11
00
10
01
01
10
10
00
00
11
00
00
11
10
10
10
00
10
11
11
01
11
00
11
00
00
00
11
10
00
00
10
00
11
11
00
10
00
10
10
11
01
00
10
10
01
10
00
11
00
00
00
10
10
01
00
11
00
01
10
00
10
10
00
00
10
10
10
01
00
00
10
00
00
01
11
00
00
10
00
00
00
10
11
00
01
01
01
11
10
00
11
10
10
10
00
00
10
10
10
00
01
01
01
00
10
00
01
11
11
11
00
00
01
01
11
00
00
11
00
10
00
00
10
01
00
00
00
10
00
10
01
10
01
01
10
11
00
11
10
00
00
10
11
00
11
00
01
00
00
10
10
00
11
10
00
00
01
10
00
00
11
10
10
00
01
10
10
00
00
00
00
11
10
10
00
00
11
10
00
00
10
10
00
00
00
10
01
10
11
10
10
00
00
01
00
11
10
10
00
11
11
00
00
10
10
11
10
00
01
00
11
00
10
11
01
00
11
10
00
10
00
10
00
00
10
11
11
10
01
00
10
10
11
10
00
01
11
11
00
00
01
00
01
10
11
10
00
01
01
00
11
11
01
00
00
10
01
01
10
01
00
01
10
01
11
10
01
00
00
11
11
00
10
00
00
00
00
10
10
10
00
01
00
11
11
10
01
11
10
11
11
01
00
01
01
10
10
01
00
11
10
01
10
10
00
11
10
01
10
00
01
11
00
01
01
10
10
00
00
00
00
10
10
00
10
11
01
01
10
10
00
10
10
00
00
10
11
10
10
00
00
11
10
10
11
10
01
10
00
00
11
00
01
00
10
11
00
10
11
10
01
00
01
00
01
00
10
00
11
00
00
10
00
00
01
10
00
10
10
10
00
00
10
11
00
00
10
01
11
11
00
10
01
01
10
11
10
00
11
11
01
00
10
10
00
01
10
00
10
00
00
10
10
11
10
00
11
01
00
00
01
10
01
00
10
00
00
00
11
10
10
10
10
01
11
00
00
10
01
00
11
00
00
01
10
10
01
10
10
00
00
01
00
00
10
10
00
00
01
11
10
10
10
01
01
00
10
00
00
10
10
01
11
00
00
11
00
00
01
10
10
00
00
10
10
10
10
00
00
10
11
00
10
00
00
10
00
01
00
10
10
01
10
00
00
10
00
01
10
10
00
00
10
10
10
01
10
10
00
01
11
01
00
00
01
10
00
00
00
10
00
10
00
00
00
11
10
11
00
11
00
10
10
00
00
10
10
00
11
10
10
00
01
01
11
01
01
00
11
00
11
11
00
00
10
00
10
11
01
10
00
10
01
00
11
00
01
01
00
10
10
01
11
10
01
10
10
00
01
10
10
00
00
10
10
01
11
10
10
01
10
11
10
00
10
00
11
00
10
00
10
10
00
00
01
11
11
10
01
00
01
11
10
00
00
00
10
01
00
10
11
11
11
10
10
01
00
00
01
11
11
10
00
11
10
00
11
00
01
11
00
10
11
10
11
01
01
11
11
00
00
00
10
11
00
00
10
11
10
11
01
01
00
11
00
01
10
10
10
10
01
00
10
11
00
10
11
10
00
00
10
01
00
10
10
10
10
10
10
00
10
10
00
11
00
01
00
10
11
01
00
00
01
10
01
01
01
10
11
10
10
00
00
00
10
01
00
01
00
10
01
11
10
10
00
11
10
11
00
01
11
00
01
01
00
10
01
10
01
00
10
01
01
10
10
00
00
00
10
10
00
11
10
01
00
10
10
10
00
10
01
00
10
10
10
00
10
10
00
01
01
10
11
11
10
11
10
01
10
11
00
00
10
10
10
00
10
10
00
00
11
11
00
00
00
10
00
10
10
00
00
11
00
01
01
00
10
10
00
10
10
10
00
10
00
10
00
00
10
00
00
11
10
00
00
10
10
10
00
00
00
10
01
10
01
10
10
01
00
01
10
01
01
10
00
00
00
11
01
10
10
00
10
01
00
00
11
00
10
11
01
00
00
11
11
10
00
01
10
00
01
10
00
00
00
00
00
00
10
00
00
10
10
01
01
10
01
11
01
10
00
00
00
00
10
10
01
01
01
10
10
10
00
01
01
10
10
11
10
01
11
01
01
00
10
00
10
11
00
11
01
00
01
00
01
11
01
00
11
00
00
00
10
10
01
10
11
00
00
10
10
10
10
10
00
00
01
01
11
00
00
10
10
00
00
10
10
10
10
01
01
11
11
00
01
01
10
10
00
10
10
01
01
00
11
10
11
01
01
00
10
11
00
00
10
01
00
10
01
10
11
00
00
11
10
10
00
00
10
11
10
01
01
00
00
10
10
00
10
10
11
00
00
10
00
11
00
11
10
01
10
11
00
00
10
11
00
00
01
10
01
10
11
10
10
10
10
01
00
00
11
10
00
01
01
01
10
11
11
10
01
00
00
10
10
01
01
11
11
10
00
11
10
11
10
11
00
11
11
10
01
00
00
11
00
00
10
10
00
11
10
00
11
00
01
10
10
10
11
01
10
00
00
10
10
10
11
00
10
00
01
11
00
10
10
10
10
00
10
00
01
00
00
10
00
00
10
10
01
11
01
01
01
00
11
00
11
10
00
00
11
00
01
10
01
10
11
00
10
10
10
01
11
10
00
01
11
00
01
11
00
10
10
10
10
11
01
01
00
11
10
10
00
01
11
10
00
00
01
10
01
00
10
00
10
00
00
00
10
10
00
10
11
00
10
01
10
01
00
11
11
00
00
00
10
11
00
10
10
00
00
10
11
00
00
10
01
00
00
00
00
01
00
00
10
11
11
00
00
00
10
10
10
10
00
10
11
11
11
11
00
00
00
10
11
00
00
10
11
00
00
10
10
10
01
00
00
01
00
10
10
01
11
10
11
11
10
00
10
00
00
10
01
11
10
11
10
00
10
01
10
00
01
10
01
00
01
10
01
00
10
01
00
11
10
00
10
10
00
10
10
01
00
10
10
00
01
01
10
11
00
01
10
00
00
10
00
00
10
10
00
00
00
10
01
10
01
01
00
10
10
01
00
11
10
00
00
00
10
01
10
11
01
00
01
11
00
10
10
10
01
00
10
01
10
11
01
00
10
00
10
11
01
00
01
10
00
00
11
00
10
10
01
10
10
01
01
01
00
00
00
10
00
10
00
10
10
11
11
01
00
01
10
11
11
01
00
11
11
00
10
11
10
10
00
01
00
10
00
10
01
10
10
11
00
10
11
00
00
11
00
01
01
01
11
11
11
01
00
11
00
00
00
00
01
11
10
01
10
11
10
00
10
11
10
00
00
11
00
10
10
00
00
11
01
00
01
10
01
00
10
00
00
10
11
00
01
00
01
00
10
01
10
10
00
00
10
10
00
00
00
10
00
10
10
10
11
00
10
00
01
10
10
10
11
00
00
10
10
00
01
10
10
00
10
10
00
10
00
10
11
00
00
10
10
00
00
01
10
10
10
00
00
01
00
11
10
00
01
00
00
10
00
10
00
01
11
10
01
10
11
11
10
11
00
00
00
00
11
00
00
11
00
11
01
10
11
00
00
00
00
11
10
00
01
00
00
11
00
00
10
00
10
00
10
11
01
01
10
00
00
00
01
10
00
00
10
11
00
10
00
10
10
11
11
01
01
11
10
01
10
11
11
00
00
11
10
01
11
00
00
00
01
10
00
00
10
10
10
00
00
00
10
00
01
10
11
01
11
11
10
10
10
00
10
10
00
00
00
01
10
10
01
10
10
11
10
01
10
10
00
00
11
10
00
00
10
00
00
10
10
01
01
11
10
11
11
01
01
10
00
11
11
01
01
10
10
00
11
01
10
00
01
10
11
11
10
10
00
10
10
00
00
10
11
10
01
00
00
00
01
00
11
10
11
10
11
01
01
10
10
10
01
00
10
10
00
00
11
00
01
00
10
11
11
00
01
01
11
10
01
01
00
01
11
01
11
11
00
11
10
00
00
11
10
01
10
00
00
10
10
01
00
10
01
01
11
11
00
11
10
00
00
10
00
00
01
10
10
01
10
00
11
00
01
00
10
10
00
10
00
00
10
01
00
10
11
11
00
00
00
01
10
10
11
01
00
10
10
00
01
00
10
10
00
11
10
10
00
10
01
00
01
10
00
01
11
11
00
10
00
01
10
10
00
01
10
10
10
11
10
01
11
10
00
00
11
01
00
00
10
11
00
11
01
10
01
00
01
00
10
10
11
00
11
11
01
01
10
01
10
00
00
10
01
11
10
00
01
00
00
10
11
00
01
11
10
11
11
01
00
00
00
11
10
01
10
10
10
10
11
00
11
00
11
00
00
01
10
00
00
10
11
10
00
00
01
11
10
01
01
00
00
00
10
10
00
01
00
10
11
10
00
01
00
10
00
10
11
00
00
10
10
00
10
10
00
10
10
00
10
01
10
00
10
10
10
00
11
10
00
00
10
11
00
00
10
10
00
11
10
01
10
00
11
00
00
11
01
01
11
10
00
10
00
00
10
10
00
10
10
01
10
10
10
00
00
00
01
11
01
00
11
10
01
00
10
01
10
00
10
10
00
10
10
10
10
00
01
10
00
10
00
10
11
00
11
10
00
00
10
01
01
01
11
00
00
11
11
10
00
00
10
10
01
00
10
10
00
11
11
11
00
00
10
11
11
11
01
01
01
10
10
01
10
10
01
00
10
10
10
01
00
10
10
10
01
00
00
00
00
11
01
00
11
01
10
11
00
01
10
11
00
01
11
10
01
10
10
00
10
00
00
00
11
11
00
10
01
11
10
10
10
01
01
10
00
00
00
01
00
10
10
11
00
01
10
10
01
00
00
10
10
00
01
10
01
01
10
10
00
00
01
10
00
10
01
00
00
00
00
00
11
10
11
00
00
10
11
00
00
11
01
11
00
00
10
00
10
11
11
00
10
10
11
01
01
11
00
01
01
10
00
01
10
10
00
00
10
10
11
10
11
10
10
00
10
00
00
01
10
00
11
11
00
01
00
11
01
00
10
10
10
01
01
10
00
00
10
11
00
00
10
01
00
11
10
11
01
10
10
10
00
00
11
00
01
11
11
00
00
11
11
10
00
10
10
10
01
00
00
10
01
00
01
00
10
10
00
00
00
01
10
01
00
00
10
10
10
01
00
00
01
10
10
00
10
10
00
11
01
00
10
00
00
11
01
10
00
11
10
00
01
00
11
10
11
01
11
01
11
00
00
10
00
10
10
00
00
00
10
00
10
00
00
10
11
00
01
00
00
10
10
10
00
10
10
00
00
10
10
10
01
10
10
10
10
01
01
00
10
10
10
00
00
11
00
00
10
10
00
11
10
00
10
10
00
11
00
11
10
00
10
00
00
10
00
01
00
00
00
01
00
01
00
01
10
10
10
10
10
01
10
10
10
10
00
10
00
10
11
00
00
01
01
01
11
00
11
11
01
00
11
10
00
00
10
00
01
01
10
10
11
11
00
10
00
00
10
00
00
01
00
10
01
11
10
00
10
10
10
11
00
01
10
01
00
00
10
00
00
11
00
00
11
01
10
10
10
00
00
11
01
00
10
01
00
10
10
01
01
01
00
11
10
11
00
00
10
10
10
00
00
11
01
11
10
01
10
10
00
00
00
11
10
00
00
10
00
10
00
11
10
00
11
10
10
01
00
10
00
00
10
10
11
00
10
10
01
11
01
01
10
00
10
10
10
01
01
10
10
11
10
11
00
10
01
00
11
01
00
10
01
01
11
00
00
00
11
10
00
10
10
01
00
11
00
00
10
11
00
11
10
01
00
01
10
11
00
00
00
00
10
10
00
00
01
10
01
11
01
00
11
10
00
00
10
10
00
11
10
00
10
11
01
11
11
01
11
01
01
10
10
00
00
00
10
10
00
11
10
10
11
00
00
01
00
11
00
10
00
10
10
00
00
01
00
10
10
00
00
10
01
00
10
00
10
11
00
00
10
10
00
10
11
01
10
00
10
01
01
00
10
10
01
00
10
10
00
00
00
00
10
00
10
10
01
10
00
11
11
11
10
00
00
00
00
10
10
00
10
00
00
00
10
10
01
11
11
10
11
01
11
11
10
00
00
11
00
10
10
11
00
10
10
00
01
00
10
11
00
00
10
00
00
11
01
11
11
10
00
00
00
10
11
10
00
00
01
10
00
10
01
11
00
10
10
00
10
00
00
10
11
10
10
11
01
01
00
10
00
11
10
00
01
10
10
11
10
01
10
10
10
00
00
10
10
00
00
00
00
00
00
10
10
00
11
00
10
00
01
11
10
00
00
00
00
10
11
11
01
00
11
01
10
10
00
10
01
00
10
10
11
10
11
10
01
01
00
01
00
00
10
11
00
00
10
10
01
10
10
11
10
10
11
00
01
00
10
10
00
00
10
10
00
11
00
10
00
00
00
10
01
10
00
10
11
00
10
01
01
11
01
10
10
01
00
11
00
00
00
11
10
00
01
10
01
10
10
10
00
00
11
00
01
10
10
00
10
10
10
01
00
01
00
01
10
10
00
10
10
11
00
00
11
10
10
10
00
01
00
11
00
10
10
00
00
10
11
01
00
11
01
00
01
00
00
01
10
11
10
10
00
00
10
00
01
10
00
00
00
00
10
10
10
10
01
00
10
10
10
00
00
00
01
10
10
00
10
00
00
11
10
11
10
10
11
00
00
00
11
11
00
01
10
00
11
10
00
01
00
01
00
01
11
11
00
00
00
11
00
01
10
11
10
00
11
00
10
10
10
00
00
00
10
10
11
11
01
10
00
00
01
10
01
10
10
00
00
10
01
01
10
00
01
10
10
01
01
10
00
10
10
00
00
00
10
10
10
11
10
10
01
00
00
10
10
01
11
10
10
00
10
10
10
00
01
00
00
10
00
00
01
10
10
00
10
00
10
00
00
01
11
01
00
10
10
00
10
10
01
00
11
10
01
11
01
10
01
01
11
00
00
00
10
10
10
01
11
10
11
00
00
10
00
10
10
01
00
10
11
00
10
01
10
10
00
10
01
11
11
11
00
00
11
11
10
01
01
10
10
01
10
01
10
10
01
01
00
00
01
01
10
11
00
10
00
00
10
11
11
00
00
01
00
00
11
00
00
10
11
11
00
00
00
10
00
00
11
00
00
10
10
10
10
11
11
10
00
10
10
01
00
10
11
10
01
10
10
10
10
11
00
10
10
00
00
00
11
10
10
10
10
00
00
10
00
10
10
01
01
00
01
00
11
10
00
01
11
00
10
00
00
00
11
10
10
10
01
00
11
10
00
00
10
00
00
00
10
01
11
00
10
00
00
00
00
00
10
00
00
10
10
00
11
10
11
01
00
00
11
10
00
10
11
01
10
10
10
00
01
00
00
01
11
10
11
10
00
00
10
00
01
11
01
01
01
11
01
00
10
00
01
10
11
10
10
00
00
10
00
11
10
01
00
10
10
10
10
11
11
01
11
00
00
00
10
10
00
00
10
10
10
01
10
00
11
10
11
10
10
10
01
11
00
01
10
11
00
10
10
11
10
10
10
01
01
10
00
10
00
10
10
00
11
00
00
11
10
11
11
11
00
11
00
10
10
01
00
00
10
11
11
11
01
01
01
00
00
00
00
10
01
01
11
00
00
00
00
01
10
00
00
10
00
10
10
00
10
00
10
00
11
00
00
10
10
10
10
00
01
01
10
10
11
00
01
00
10
10
00
11
10
00
00
00
01
11
10
00
01
11
01
10
11
00
11
10
10
10
00
00
00
01
10
00
00
10
01
01
10
00
00
11
10
10
00
10
11
00
00
00
00
10
00
11
10
11
10
01
01
00
00
01
00
11
00
11
01
01
10
10
10
11
01
01
10
10
10
11
10
00
00
01
00
01
10
11
10
00
10
10
10
00
00
10
11
01
01
10
11
11
00
01
10
00
10
11
00
10
10
00
10
10
00
00
00
10
11
11
01
00
10
10
10
01
10
11
10
10
01
00
11
10
00
00
01
10
10
11
00
10
00
11
00
10
11
00
01
10
10
00
10
10
00
10
10
11
00
10
01
01
11
10
10
01
00
10
10
10
01
00
10
10
00
11
01
10
11
00
00
11
11
00
11
11
10
10
00
00
00
00
10
10
00
00
00
10
00
10
10
10
01
10
00
00
10
11
00
01
00
00
01
00
00
10
10
10
10
11
11
10
11
01
01
01
01
00
10
00
01
10
11
00
00
10
10
00
10
01
10
10
00
01
11
10
00
01
00
11
00
01
00
11
10
00
11
10
11
00
11
10
11
00
00
10
10
01
00
11
10
10
01
10
01
00
10
10
01
10
10
00
00
11
01
01
11
00
01
01
00
11
11
00
00
01
10
00
00
11
11
01
00
11
01
10
00
10
00
01
10
01
11
10
10
01
00
01
01
10
10
10
01
00
10
10
11
00
10
00
00
01
11
10
00
11
00
10
01
01
10
10
00
01
10
10
01
10
10
00
10
11
00
00
10
10
11
11
01
00
11
10
10
00
00
10
00
01
11
10
00
10
00
10
00
00
10
00
00
10
11
01
00
10
11
01
01
01
10
10
10
10
00
00
10
00
10
10
11
10
11
10
10
00
01
01
10
00
01
00
00
11
10
10
11
00
01
00
10
11
01
00
10
00
01
10
10
01
00
01
10
10
10
10
10
10
00
01
01
00
10
00
10
00
10
10
00
00
11
10
00
10
01
10
10
01
00
11
00
00
10
11
11
00
10
10
10
10
10
00
00
10
11
00
01
00
00
00
01
10
01
00
10
00
10
11
00
11
11
00
10
01
01
11
10
00
00
01
00
11
10
01
10
11
00
00
00
01
00
11
10
00
11
10
10
11
01
01
01
10
00
11
11
00
00
10
11
10
10
10
10
00
00
11
00
11
00
10
11
00
01
10
10
00
00
10
10
10
00
00
10
10
00
01
00
00
11
00
10
10
11
11
10
11
11
00
11
10
00
00
00
00
10
10
00
11
00
00
10
00
01
11
11
01
11
10
10
11
10
00
01
10
00
01
10
00
10
10
00
10
01
00
00
10
10
01
00
11
01
11
00
00
10
10
10
01
01
11
10
11
10
01
01
11
11
00
00
10
00
00
10
10
10
01
00
10
00
01
10
00
11
01
00
11
00
00
10
10
10
11
00
00
00
10
10
01
00
00
01
00
10
10
01
10
01
11
11
10
10
01
11
00
11
00
00
10
11
11
11
01
10
11
00
00
10
10
01
00
00
10
10
10
10
10
11
10
01
00
01
00
10
10
10
11
00
00
10
00
10
10
10
01
00
00
01
10
11
00
10
11
00
00
10
10
00
10
01
00
00
10
00
00
01
00
10
10
00
01
11
10
01
01
10
10
01
10
11
00
00
00
10
11
11
01
10
11
00
00
00
11
10
00
00
10
10
10
01
01
11
10
10
00
00
11
11
00
00
00
00
11
11
00
10
11
00
11
10
00
01
10
11
00
10
01
10
01
01
10
10
11
11
10
00
00
01
10
00
10
11
00
10
00
01
00
00
11
10
00
10
01
10
11
11
10
11
00
11
10
00
01
10
10
00
01
10
10
00
00
10
00
11
10
00
00
00
10
11
00
10
00
00
01
10
11
10
10
00
10
00
01
00
10
00
11
00
01
10
10
11
01
00
10
10
01
00
10
00
00
01
00
11
10
10
10
11
01
11
00
01
10
10
10
00
11
11
01
01
10
10
00
11
10
11
01
11
00
00
10
01
00
10
10
00
00
00
10
01
10
10
11
10
10
10
10
11
01
01
01
10
00
00
10
00
00
11
10
01
00
10
10
00
10
10
00
00
00
10
10
10
01
00
00
01
10
00
11
00
11
11
00
00
11
10
10
00
01
10
10
00
00
11
10
10
11
00
10
10
01
11
10
00
11
00
11
00
01
10
00
10
01
00
11
10
01
00
10
10
01
11
00
00
10
10
10
11
00
10
00
11
00
00
10
10
11
10
11
01
10
10
00
01
10
00
00
10
01
10
00
00
01
00
10
00
10
01
01
00
01
01
00
00
01
10
00
01
10
00
01
00
00
00
00
11
10
10
00
00
10
10
10
00
11
10
01
10
11
10
11
01
11
10
00
00
10
00
01
11
10
01
01
10
00
10
10
11
01
00
00
01
11
11
00
00
00
00
00
10
11
00
10
00
00
10
00
00
10
01
10
11
01
00
00
10
10
11
01
00
00
00
11
00
01
10
00
10
01
00
10
00
00
00
11
10
10
10
11
01
00
00
01
00
01
10
00
10
11
11
11
11
00
01
00
10
00
10
10
00
00
00
00
11
00
10
11
00
10
10
10
00
00
10
10
10
00
01
00
10
10
10
10
00
11
11
10
10
00
10
00
01
00
00
11
11
11
10
10
00
00
10
11
00
00
10
00
00
00
11
11
10
01
11
01
10
00
10
10
00
01
01
10
00
11
10
10
00
00
01
11
10
00
00
10
01
10
10
01
00
10
11
01
10
10
00
10
01
11
11
01
01
11
00
10
01
00
11
11
00
10
00
10
11
00
00
10
10
01
00
00
10
00
00
10
00
11
11
00
11
10
10
11
10
00
11
10
01
01
01
01
11
01
00
01
10
10
00
01
10
10
00
00
00
01
10
10
01
01
11
00
10
11
00
00
10
00
00
11
10
11
01
11
01
01
10
11
01
01
01
11
10
10
10
10
00
01
00
00
00
10
00
00
00
10
00
01
10
10
11
01
00
11
00
10
00
10
00
00
10
10
11
10
00
10
01
00
00
10
10
01
10
10
10
00
10
10
01
01
10
00
00
01
10
00
00
10
10
01
11
00
11
00
10
00
01
10
10
01
01
00
11
11
01
10
00
00
01
10
10
00
01
00
01
00
10
00
00
00
01
00
10
01
00
11
10
01
10
10
00
10
00
01
11
10
10
10
00
01
10
10
00
00
11
10
01
01
00
11
11
01
10
00
00
10
10
00
00
11
10
10
00
00
00
10
00
00
10
10
01
00
10
01
10
11
11
01
01
11
10
00
10
11
10
01
11
00
10
10
10
00
00
10
11
00
00
01
10
10
01
00
10
10
00
00
00
01
11
00
10
00
10
10
10
00
11
00
10
01
00
11
10
00
11
10
10
10
00
11
00
00
11
10
11
00
00
11
10
10
00
10
10
01
01
10
01
11
01
01
11
11
11
01
00
00
10
00
10
10
01
00
00
10
10
10
01
11
10
00
10
00
10
10
01
10
11
11
10
00
01
11
00
11
10
10
10
10
01
10
00
00
11
10
11
10
11
10
00
00
10
00
00
00
11
11
01
10
00
00
00
11
01
00
10
00
11
10
10
10
10
11
00
11
01
01
01
00
11
10
00
00
00
01
10
01
10
00
00
01
10
10
10
11
10
11
00
01
10
00
00
11
11
00
10
11
10
10
10
10
00
00
00
10
11
00
10
10
01
00
00
11
11
00
01
00
10
10
01
10
00
00
11
10
10
00
11
00
00
01
11
00
10
00
00
10
00
11
10
01
00
00
10
00
00
01
11
10
01
01
10
10
10
10
10
00
00
00
10
00
00
10
11
10
10
01
01
10
01
00
01
10
01
00
10
11
00
11
10
00
00
01
00
00
10
10
00
01
00
10
11
10
11
00
01
10
00
01
01
10
11
01
10
10
10
10
11
01
00
00
00
10
10
01
00
10
10
01
00
00
01
11
01
11
00
00
01
11
11
01
00
11
11
00
01
10
11
01
10
11
11
10
10
00
11
10
00
00
00
00
01
01
11
10
11
00
10
11
00
00
10
10
10
10
00
00
11
10
00
00
11
00
00
01
10
10
11
10
00
00
10
01
11
11
00
01
10
00
01
11
10
00
10
10
00
00
01
11
00
01
00
01
00
01
01
01
01
10
00
01
10
10
00
01
10
00
10
10
01
11
01
11
10
00
01
00
00
10
00
11
00
11
01
00
10
01
11
10
01
01
00
01
00
01
00
00
10
00
00
10
00
00
00
10
00
00
10
11
10
11
11
11
10
11
00
00
00
10
11
00
00
00
00
00
01
00
10
00
00
11
10
10
01
10
00
00
01
00
01
00
10
10
01
10
10
10
00
00
10
11
00
11
10
10
00
01
11
10
01
00
10
00
01
00
11
10
00
10
00
00
00
11
10
11
00
01
01
01
00
00
10
10
10
10
11
00
00
11
10
01
11
11
00
11
10
00
00
01
10
00
01
11
00
00
10
11
00
00
10
00
01
10
00
00
10
10
01
10
11
10
11
00
00
11
00
00
10
11
10
10
00
01
00
11
11
00
11
10
11
10
11
01
01
00
11
10
00
10
11
00
00
00
10
10
01
00
11
11
10
00
00
11
10
00
00
10
10
10
00
01
10
00
00
11
10
10
00
00
11
10
01
00
01
10
00
01
10
01
10
10
00
00
11
10
11
00
10
00
10
01
10
10
01
10
10
10
11
00
00
00
00
01
10
00
00
10
11
10
11
00
00
10
01
11
11
10
00
00
10
11
10
10
10
00
01
01
00
10
00
00
11
01
00
11
10
11
00
10
10
00
10
00
01
10
10
00
00
11
10
01
01
01
10
11
00
00
01
11
11
01
10
11
00
10
10
00
00
11
10
01
01
10
10
00
10
11
10
00
01
10
10
00
11
11
11
10
00
00
10
01
10
00
01
00
01
11
01
10
00
00
00
00
10
00
01
00
10
00
10
10
00
00
00
00
00
10
01
00
11
11
10
00
11
00
10
00
01
10
10
00
00
10
00
00
11
01
01
10
10
00
11
10
10
11
10
11
00
11
00
01
10
11
01
11
11
00
10
01
01
10
00
11
11
01
01
11
11
10
10
10
01
00
11
11
00
00
11
10
00
11
10
10
00
00
10
11
00
10
10
00
01
01
10
10
10
00
11
10
01
10
01
00
00
11
00
00
11
10
01
00
00
10
11
00
10
01
10
10
00
10
00
01
10
00
10
01
10
11
10
10
10
01
10
00
11
01
10
10
00
00
11
10
01
10
10
10
10
00
10
10
00
11
00
11
01
10
00
00
01
11
10
00
01
11
11
10
11
00
10
10
11
11
00
10
10
00
00
11
11
01
10
11
10
00
01
10
00
00
10
10
10
00
00
11
10
00
10
10
00
10
10
00
11
10
01
00
11
00
01
11
00
11
01
00
10
10
10
00
11
00
11
10
11
00
00
01
11
01
01
00
10
10
10
00
10
10
01
11
00
01
10
00
00
00
10
10
00
00
00
11
00
01
00
00
00
00
10
01
01
10
11
00
00
10
01
11
00
00
10
10
01
00
10
00
10
10
00
10
10
11
10
10
00
10
10
11
01
10
10
00
01
10
11
00
10
10
00
10
00
00
11
10
11
11
00
10
00
10
10
10
01
11
11
00
00
00
11
00
00
00
11
10
00
00
11
00
10
10
00
00
00
00
10
00
10
10
10
01
11
10
00
01
10
01
00
11
00
00
00
10
11
00
00
10
10
00
10
10
00
10
00
00
10
10
11
10
01
10
11
00
00
11
10
10
00
10
11
10
00
00
10
10
10
00
01
01
10
01
00
10
10
11
00
01
00
10
10
10
00
10
11
01
10
11
10
00
00
10
00
00
01
11
10
11
10
11
01
00
00
11
00
00
00
00
01
00
00
10
00
00
00
00
10
10
10
11
11
11
01
01
11
11
01
10
10
00
01
01
11
10
01
00
00
00
11
00
00
00
11
10
10
00
00
10
10
00
01
10
11
11
00
11
10
01
10
11
01
01
00
10
00
10
10
10
00
01
00
00
10
00
00
00
00
00
10
11
00
11
00
01
00
00
01
11
00
00
00
00
10
10
00
00
00
11
00
10
10
00
01
00
10
11
00
00
10
10
10
01
10
01
01
00
00
10
11
10
00
10
11
01
00
00
00
10
11
01
00
10
10
00
10
10
00
01
10
01
01
01
01
10
01
01
11
11
10
10
00
00
11
01
00
11
10
11
01
00
11
01
00
10
01
00
00
01
10
00
00
01
10
00
00
01
00
00
10
11
10
01
01
00
11
10
11
00
00
11
10
11
00
10
00
11
10
00
10
10
00
00
10
11
11
10
10
10
10
01
10
01
01
10
10
00
00
10
00
00
10
01
00
01
00
11
10
01
10
11
00
11
10
00
01
00
00
01
10
10
11
00
01
11
10
10
00
01
11
00
11
00
00
00
01
10
01
00
10
10
01
10
00
10
10
00
00
00
00
00
00
01
10
11
01
11
00
11
11
10
01
00
01
11
00
01
11
11
11
01
00
10
00
01
10
10
01
01
00
01
00
10
11
00
01
10
10
00
11
10
00
00
11
10
11
00
01
01
00
10
00
00
11
11
10
00
00
10
11
00
10
11
01
00
01
11
11
11
11
01
00
01
01
10
11
01
00
10
11
11
11
01
00
10
11
10
01
00
10
10
10
11
11
10
01
00
10
00
10
10
00
11
00
11
11
00
10
00
11
10
10
01
01
10
10
00
01
11
10
01
01
10
00
00
10
00
00
10
00
01
10
01
10
10
00
10
00
00
01
10
01
10
11
10
11
01
11
11
00
10
10
10
01
00
00
10
11
00
10
01
01
10
11
00
00
00
10
00
10
10
00
00
10
00
00
00
10
00
10
00
00
10
11
11
01
10
10
00
10
10
10
00
11
11
00
00
00
11
10
00
11
10
00
00
11
11
00
11
11
10
10
00
10
10
00
00
11
01
00
10
10
10
00
11
11
10
00
10
00
10
10
10
10
01
00
01
00
00
00
01
01
10
11
00
01
11
11
01
00
00
10
10
00
00
10
10
00
00
11
01
00
10
10
01
00
01
11
11
11
11
11
11
10
10
01
01
11
01
11
01
10
11
00
01
10
11
10
01
11
01
01
10
01
00
10
00
01
10
10
10
00
00
10
10
00
01
11
01
10
10
01
00
01
10
01
10
10
00
11
00
00
11
00
11
11
10
11
10
00
00
00
11
00
10
10
00
10
01
10
10
11
00
00
11
00
00
10
10
00
00
10
11
00
01
10
10
10
10
10
11
10
00
11
10
10
11
00
00
00
00
10
00
10
10
10
10
10
00
00
11
00
00
01
00
11
10
00
10
10
11
01
10
10
00
10
11
01
10
01
10
00
01
01
00
01
11
11
11
11
00
00
10
00
00
00
10
10
00
00
00
10
00
10
00
00
01
10
10
10
10
10
10
00
00
10
00
10
11
00
00
10
11
00
00
00
10
11
00
00
01
10
01
10
10
10
01
00
10
00
10
10
00
00
10
00
11
10
01
00
11
10
11
10
00
10
10
00
10
00
01
01
00
01
11
11
10
10
00
11
10
10
11
00
01
00
01
00
00
00
00
01
01
10
10
00
10
10
10
10
10
01
10
10
10
11
00
10
00
00
10
11
10
01
11
00
01
10
10
10
00
00
10
11
00
01
10
00
10
10
10
11
10
01
00
01
01
10
10
00
10
10
10
00
01
10
11
11
11
01
01
00
00
10
10
00
01
10
00
01
10
10
10
00
10
01
01
11
01
00
00
10
11
00
11
10
01
00
11
00
00
00
10
01
00
11
11
11
00
00
11
10
01
01
10
10
01
00
10
00
11
10
10
00
00
11
00
00
10
00
01
10
10
11
00
10
10
00
00
00
00
11
00
10
00
11
00
10
11
00
10
10
11
10
01
10
00
01
10
11
00
00
11
11
00
10
10
00
11
11
10
01
10
11
00
10
10
00
00
11
10
00
10
00
00
01
00
11
00
00
11
00
10
11
11
01
00
10
00
00
11
10
00
00
10
10
10
00
10
01
00
11
10
01
10
10
00
00
10
11
00
00
01
10
10
00
01
00
10
11
10
10
00
10
01
10
10
00
01
00
10
11
10
00
10
10
00
10
00
00
10
00
00
10
10
01
00
11
00
10
10
01
00
00
00
10
00
00
10
01
01
00
11
10
00
10
10
00
00
11
10
10
10
00
00
10
10
11
00
00
10
01
10
10
11
10
10
10
00
00
11
01
00
11
11
10
10
00
01
10
11
01
11
10
00
00
00
10
10
00
01
01
00
11
11
10
10
00
10
10
01
00
11
00
11
01
00
10
11
11
00
10
01
01
00
10
10
01
11
00
00
10
10
10
10
11
11
01
10
10
10
00
00
00
10
10
00
10
11
00
01
10
00
01
00
00
11
10
00
00
10
10
00
00
00
00
10
10
00
01
11
00
10
00
10
10
10
01
00
11
00
10
00
00
10
00
10
10
00
10
11
00
01
01
10
10
00
00
10
10
00
01
01
00
00
00
10
10
11
01
01
11
11
00
11
10
00
01
00
10
11
10
10
11
11
01
00
01
00
11
00
01
10
11
01
10
01
00
01
00
00
10
11
11
10
01
10
01
00
01
00
01
00
10
10
00
00
10
00
10
01
00
11
10
10
00
11
10
00
00
10
00
00
01
01
11
10
10
10
10
10
00
00
10
00
01
01
10
01
10
00
01
10
10
10
11
00
10
10
00
00
00
00
11
10
10
11
01
01
11
11
01
10
01
10
10
01
10
10
01
11
11
01
10
10
10
00
01
11
00
00
00
11
00
01
10
10
00
11
10
00
10
00
00
11
11
11
00
01
11
11
10
00
00
10
00
01
10
11
00
01
00
00
01
11
00
01
10
10
10
10
10
00
00
01
11
00
10
01
00
10
11
01
00
11
11
10
00
10
01
00
11
10
00
00
00
01
10
10
00
10
10
00
00
10
00
10
01
01
00
00
00
10
00
00
10
11
00
01
00
11
00
10
01
00
10
01
01
00
10
00
00
10
01
10
10
01
10
10
01
00
11
01
00
00
10
10
10
10
00
10
10
01
10
00
10
00
10
10
11
01
10
00
10
10
00
00
10
10
01
10
00
00
10
10
00
10
00
10
10
00
00
01
01
10
00
10
00
10
10
11
01
10
10
00
10
10
01
01
10
10
00
10
10
10
10
10
11
00
00
01
11
10
11
01
10
10
00
01
10
10
00
00
00
00
00
10
11
10
10
11
00
01
00
00
00
11
10
10
00
00
00
11
11
10
00
10
11
10
10
10
11
00
01
00
11
11
10
00
00
11
00
00
11
10
01
00
00
00
10
10
00
00
10
11
10
01
01
00
10
00
10
01
10
10
01
10
11
10
11
01
10
11
00
10
10
11
00
01
00
10
10
11
00
10
11
00
10
00
11
10
00
00
10
10
10
00
10
00
01
00
10
00
11
10
01
10
10
10
11
11
10
11
00
01
00
00
10
10
00
01
00
10
11
00
01
00
11
10
01
10
10
00
01
00
10
10
00
00
00
11
10
01
11
10
11
01
11
00
01
10
00
00
10
10
11
00
01
10
11
10
01
00
11
11
01
00
01
10
10
00
10
00
11
00
00
10
01
10
11
00
01
01
10
10
11
00
01
00
11
00
10
10
10
10
00
10
01
01
10
00
00
10
01
10
11
10
00
00
10
11
10
10
10
10
00
01
00
10
01
01
00
11
10
11
00
00
10
01
11
00
01
11
10
10
10
10
10
10
00
01
10
11
10
01
00
01
00
10
00
01
00
10
11
10
00
00
11
10
00
10
10
10
10
01
01
10
10
10
10
01
01
11
11
11
00
10
01
00
11
10
01
00
01
00
01
10
10
01
00
00
00
10
11
01
01
10
10
10
10
01
11
00
00
11
01
00
01
10
11
00
00
10
10
10
00
01
10
11
10
10
01
00
01
01
11
11
00
10
00
01
10
00
01
10
11
01
10
00
00
00
11
00
00
10
00
00
00
11
10
11
00
00
00
01
11
10
11
00
11
00
10
11
00
01
10
11
00
00
11
01
01
01
00
11
00
10
10
01
00
01
00
10
10
01
00
11
10
00
00
11
11
01
00
11
10
10
00
10
10
10
00
00
10
00
10
01
00
00
00
01
00
10
00
10
10
01
10
11
00
00
01
01
10
10
11
00
10
10
00
01
10
00
01
11
01
10
10
10
00
00
11
01
01
00
00
00
00
10
10
10
00
00
00
01
01
00
01
00
10
10
00
11
11
10
00
10
10
01
11
00
01
00
00
00
10
10
00
10
11
00
00
01
11
10
11
00
10
11
10
11
01
00
10
11
00
10
01
01
10
00
01
11
00
01
00
10
11
01
00
10
00
10
00
11
00
10
00
10
10
00
01
01
10
11
00
00
10
10
10
10
10
00
11
00
11
10
11
10
11
00
01
00
11
11
00
11
11
00
01
11
00
10
00
00
00
00
10
11
00
10
00
01
11
10
00
10
10
00
10
11
11
00
11
00
00
11
01
10
10
01
01
10
01
01
10
00
01
10
10
00
10
00
11
10
10
01
00
01
10
00
01
10
00
10
11
10
10
00
00
00
10
00
00
01
00
10
00
10
11
10
10
11
10
00
01
10
10
10
01
00
11
00
00
11
10
00
11
10
00
00
11
00
11
01
00
00
01
10
10
10
00
11
10
10
10
10
10
10
10
00
01
10
01
01
11
01
00
10
10
00
10
10
00
00
00
01
00
01
00
10
01
00
10
10
10
10
10
01
00
11
01
00
11
10
01
01
00
10
00
10
11
00
11
11
01
11
11
00
10
10
01
10
00
00
00
00
01
01
10
10
10
10
00
00
00
10
10
00
01
00
00
00
10
10
11
01
00
11
11
01
10
10
10
01
11
11
00
01
10
10
00
00
10
00
10
10
10
01
10
11
00
00
01
10
11
01
00
11
10
10
00
00
10
00
00
10
10
00
01
10
10
10
00
10
11
00
10
00
00
01
11
01
00
11
11
00
01
10
01
00
00
10
00
01
10
00
01
10
10
10
10
01
10
01
01
11
10
00
01
10
00
11
10
01
01
10
10
00
01
11
10
00
01
10
00
00
10
01
11
01
01
00
00
10
10
10
00
00
10
00
10
00
01
11
11
01
10
00
01
10
11
00
01
10
01
10
10
11
00
11
00
10
00
01
01
10
01
00
10
11
01
00
00
11
10
10
10
10
00
01
10
10
10
01
10
10
10
00
00
10
10
10
00
10
10
10
10
00
01
11
00
11
00
00
00
00
00
10
01
00
10
10
10
10
00
11
10
01
11
00
11
00
11
10
00
00
11
00
01
10
10
10
10
01
00
00
01
11
10
00
00
01
10
11
11
00
00
10
11
01
11
11
00
10
10
00
01
00
10
10
01
01
11
00
00
10
10
10
00
00
10
11
10
00
01
00
00
00
00
11
11
10
00
01
11
11
10
10
00
00
01
00
11
10
00
00
00
00
00
11
11
10
00
00
10
00
00
10
00
10
10
11
00
10
00
00
00
10
01
10
00
10
01
00
00
01
11
01
00
10
10
00
01
10
00
00
10
11
00
00
11
10
10
00
10
00
00
11
11
10
00
11
10
11
10
00
01
10
10
01
00
11
10
00
00
00
01
10
10
11
10
01
00
11
11
01
00
00
10
10
00
00
11
00
01
11
10
01
01
10
10
00
00
00
10
10
01
11
01
00
00
01
01
10
10
00
11
01
10
00
00
11
10
00
10
10
11
00
10
01
00
00
11
00
00
10
01
10
10
01
10
00
01
10
00
00
11
00
00
10
10
00
00
10
01
00
10
10
00
10
11
10
00
10
01
11
01
10
01
00
11
01
01
10
10
00
00
10
10
00
01
01
00
00
00
11
00
11
11
00
00
11
11
11
00
00
11
10
10
01
00
10
01
10
11
11
00
01
10
11
00
11
10
00
11
00
00
11
10
01
10
00
00
00
10
10
10
01
10
11
11
11
00
10
00
00
01
10
00
00
11
00
10
10
10
01
00
00
10
11
00
10
00
00
11
00
01
10
01
00
10
01
10
10
00
00
10
00
01
10
10
10
00
00
00
11
10
01
00
10
00
10
01
00
00
11
00
00
10
10
00
10
10
01
10
10
11
00
10
10
11
11
00
01
11
00
00
01
01
11
10
00
01
11
10
10
01
10
10
00
11
10
00
10
01
10
00
10
11
00
00
00
11
00
10
00
01
10
10
10
01
10
01
10
00
01
00
01
10
00
01
00
10
11
10
10
10
10
01
10
10
00
00
10
01
11
10
01
00
10
00
00
11
11
10
00
10
10
11
01
01
00
11
10
01
00
10
01
00
11
10
10
01
00
10
01
01
10
10
00
00
11
01
01
11
11
10
10
00
10
10
00
01
11
00
00
11
10
00
00
00
11
10
11
01
00
00
10
00
00
01
11
10
01
10
10
10
00
10
10
01
00
10
11
10
10
10
00
01
11
00
10
11
10
11
00
10
01
00
10
10
10
00
01
00
10
01
00
00
00
10
01
11
10
00
00
10
01
10
10
00
10
01
00
01
10
10
01
10
11
00
11
11
10
11
00
00
00
10
10
01
00
11
11
00
01
11
01
10
01
00
10
00
00
10
11
00
10
10
01
11
00
00
10
10
00
10
10
00
11
00
00
00
11
00
00
00
10
11
11
00
00
00
10
10
10
10
11
00
00
11
00
00
11
00
00
01
10
10
10
10
01
10
01
00
00
10
10
10
00
10
10
00
01
00
11
10
01
00
00
01
01
00
11
10
00
00
11
10
10
01
00
10
11
00
00
00
11
10
10
01
01
00
00
11
11
01
00
00
10
00
11
11
10
11
01
00
00
01
01
00
11
11
00
00
10
10
01
00
10
00
00
00
11
10
10
10
01
11
11
10
10
00
00
01
10
00
01
11
00
10
10
10
01
00
00
00
00
10
11
00
10
00
11
01
00
10
00
11
10
00
01
00
10
10
10
00
11
10
11
01
00
10
10
10
10
10
01
01
10
01
11
01
11
11
10
00
00
11
00
00
10
10
10
10
10
10
00
00
10
00
00
00
00
01
11
10
11
00
00
01
00
11
10
10
00
00
11
10
00
00
10
00
11
01
01
11
01
10
10
00
00
00
10
01
10
10
00
11
11
11
10
01
10
10
00
00
10
10
11
01
01
00
01
00
00
00
00
10
00
10
10
01
01
11
10
10
10
00
11
01
00
10
10
00
10
11
11
11
01
10
10
00
00
01
10
10
10
01
00
10
00
00
00
10
01
10
00
00
01
10
00
10
10
00
10
00
00
00
00
10
11
10
01
10
00
01
10
00
00
00
00
10
00
01
10
01
01
00
10
01
00
10
00
00
00
00
10
10
00
00
11
10
01
01
10
00
10
00
01
01
10
00
10
10
10
10
11
01
01
01
11
11
00
10
10
00
00
11
10
11
10
10
00
10
00
00
00
11
10
01
01
10
00
00
11
01
11
00
00
11
00
11
10
10
00
11
11
00
10
10
11
10
11
00
01
11
10
01
00
01
10
10
00
01
00
10
01
00
10
11
11
00
10
00
00
10
10
01
00
10
00
10
10
11
10
10
10
00
00
10
00
00
11
11
11
00
01
10
01
10
11
11
01
00
10
01
00
11
10
11
11
11
10
01
10
10
01
01
10
10
00
00
10
00
10
10
10
01
00
01
10
01
01
10
00
00
00
10
10
10
10
01
00
00
00
00
11
00
00
10
00
00
10
00
01
10
10
10
10
10
01
00
11
01
01
10
00
00
10
01
01
10
11
00
10
01
00
10
11
00
00
00
10
11
00
00
11
01
01
00
00
10
10
01
00
00
10
01
01
00
11
00
10
00
00
10
10
10
11
11
10
00
01
01
11
10
00
00
10
00
00
11
10
00
11
00
01
01
01
10
10
00
01
10
10
10
01
10
00
11
11
00
10
01
00
01
01
11
10
00
10
11
11
00
01
00
11
10
10
00
10
10
00
00
10
00
11
10
10
11
00
00
10
10
10
01
00
01
00
10
00
10
11
11
11
10
00
00
10
00
00
10
10
10
01
10
10
01
00
10
10
00
10
10
10
11
00
10
10
00
00
01
11
00
00
00
10
10
00
10
11
10
00
11
10
01
00
00
10
00
00
10
00
00
00
10
10
01
00
00
10
01
11
00
01
10
10
10
10
00
01
00
10
10
11
10
01
00
11
10
00
00
10
11
10
11
00
00
01
10
10
01
10
10
11
00
01
01
11
11
00
11
10
10
00
01
10
11
00
00
10
10
10
01
10
11
00
00
11
10
10
00
11
10
01
01
00
00
10
00
10
10
00
10
01
11
00
01
01
11
10
00
01
11
00
00
10
01
00
10
11
10
10
00
00
00
11
10
11
00
11
00
00
10
10
01
00
00
10
10
01
00
00
00
11
00
10
10
00
10
01
00
10
10
10
11
01
11
00
00
10
10
10
00
00
10
00
01
01
00
11
01
11
10
10
00
00
01
10
11
01
00
00
10
01
00
11
10
10
10
11
01
00
00
11
00
10
10
00
11
10
10
00
00
00
10
00
00
01
10
00
00
00
00
01
10
11
11
00
01
11
11
00
11
10
00
10
10
00
00
01
11
10
00
10
01
00
00
00
11
10
11
01
11
11
10
11
00
00
01
10
10
10
00
00
00
10
10
11
01
00
11
00
00
11
00
10
10
01
01
01
10
01
11
10
11
10
00
10
11
00
11
10
00
10
10
10
10
01
01
10
10
11
00
10
01
00
10
10
00
10
11
11
00
00
10
00
10
11
00
00
10
00
10
10
10
10
01
10
00
00
00
11
01
10
00
00
00
10
11
01
01
11
00
10
10
00
01
10
10
00
00
10
00
10
00
00
00
11
11
00
11
00
01
10
10
10
10
00
00
11
00
11
10
11
10
00
01
11
00
00
11
10
11
10
10
10
10
00
00
10
10
01
00
11
10
01
10
10
01
10
00
00
10
11
00
01
11
00
01
10
00
00
00
11
10
00
01
01
10
01
00
11
10
00
00
00
01
11
00
00
11
10
10
11
11
00
11
11
00
10
00
00
11
11
01
01
01
00
11
10
00
00
11
10
01
11
11
00
00
10
10
10
00
01
10
10
01
10
00
10
11
10
01
00
10
11
00
00
00
01
10
01
11
00
00
11
10
10
01
10
10
00
00
00
10
10
11
00
00
11
00
01
01
10
10
10
11
01
00
10
00
10
00
10
10
11
10
11
00
01
10
10
01
10
11
00
10
11
10
01
00
10
10
00
01
10
10
00
11
10
10
10
00
00
11
00
01
10
00
00
10
11
10
00
01
10
10
00
10
11
10
10
01
10
10
10
00
01
11
11
00
00
00
00
00
01
00
10
00
10
11
00
10
00
11
11
10
10
00
00
00
10
00
10
11
00
00
00
01
10
01
00
10
10
00
10
10
10
01
10
10
00
10
10
01
11
11
00
00
10
00
10
11
11
00
01
01
00
11
10
00
00
00
10
10
00
01
01
10
01
10
10
01
00
01
00
10
11
10
10
01
00
10
10
10
01
11
01
01
00
11
11
11
00
00
10
11
11
10
10
00
11
00
00
00
10
11
00
00
00
10
10
00
10
01
00
10
01
01
10
11
11
00
11
01
10
10
10
00
00
10
10
00
00
10
11
10
00
11
00
00
01
10
00
10
10
11
10
00
00
11
00
00
10
01
00
00
00
11
10
00
00
10
01
01
00
00
11
00
10
00
10
10
01
00
01
10
11
10
11
10
11
11
00
01
10
01
11
00
01
10
00
00
01
10
10
01
01
01
01
01
10
00
10
10
00
00
10
00
00
00
00
10
11
00
10
10
00
10
10
01
00
00
10
10
00
10
00
01
10
01
00
01
10
00
10
10
00
00
10
11
00
00
10
10
10
00
01
10
01
00
00
10
11
10
00
10
01
10
00
00
10
10
01
00
10
11
10
10
00
11
10
01
00
10
01
01
10
00
10
10
01
10
01
01
11
01
10
10
10
11
00
00
10
10
11
00
01
00
11
11
00
10
00
10
10
00
00
00
10
01
10
01
00
10
10
11
11
10
10
00
01
10
10
01
00
01
00
11
11
00
00
11
10
11
01
10
01
11
10
01
00
10
00
01
00
10
01
00
10
10
01
00
10
00
10
10
11
11
00
10
00
01
01
00
11
10
10
01
01
00
11
10
00
00
10
10
00
01
10
10
11
01
00
10
00
00
01
10
00
10
01
00
10
10
00
01
10
11
00
00
00
11
11
11
11
00
10
10
00
10
10
00
11
00
01
10
11
11
00
01
00
10
10
10
00
11
10
00
00
10
10
00
10
10
01
00
10
11
10
00
00
00
10
10
10
10
01
10
00
00
10
10
10
00
01
00
10
01
00
00
11
10
00
00
01
10
00
01
10
00
11
11
10
10
00
01
10
01
10
10
10
01
10
11
01
00
10
10
10
10
10
01
00
10
10
00
10
10
11
00
01
11
11
00
11
10
11
10
00
00
10
10
10
00
00
10
00
01
11
10
01
00
00
00
01
11
10
10
01
01
10
10
01
01
11
10
01
10
10
00
01
10
10
10
00
00
11
01
10
10
10
10
01
10
00
00
11
00
11
00
00
10
10
10
10
00
10
01
01
00
11
11
00
10
00
00
10
11
00
10
11
01
11
10
10
10
00
00
11
11
00
10
00
10
00
10
00
00
10
00
11
00
00
00
00
10
10
00
10
01
11
10
00
10
10
00
10
11
11
01
10
10
10
00
11
10
01
00
10
11
01
10
10
00
01
10
11
00
10
10
01
00
10
11
00
10
10
00
00
11
10
01
10
11
11
11
10
11
01
00
10
10
00
01
10
11
11
00
00
11
10
01
10
00
01
10
01
11
00
00
01
11
11
11
00
10
00
10
10
01
10
10
10
10
00
10
01
11
10
10
01
11
01
10
00
10
10
00
00
00
10
10
10
10
00
01
00
10
11
01
10
11
11
00
11
00
11
10
00
10
01
00
00
10
10
00
00
11
00
11
11
00
11
00
11
10
10
00
00
11
10
00
01
10
00
00
00
10
00
11
10
10
10
00
10
01
11
01
10
10
01
10
01
10
10
00
10
00
00
10
10
11
01
01
10
11
00
11
11
00
00
11
00
10
01
00
11
10
01
00
00
00
00
01
01
01
10
00
01
10
00
10
10
00
01
11
11
00
10
10
11
00
00
10
00
00
11
00
01
00
10
10
10
11
00
01
11
01
00
10
00
00
01
11
10
10
01
10
10
11
00
10
00
10
10
00
00
10
10
00
00
01
00
01
01
10
11
10
00
00
10
11
10
10
00
01
11
10
01
00
10
10
00
10
10
00
00
11
10
11
10
10
00
01
10
11
00
01
00
00
00
11
01
00
10
11
10
01
10
00
11
11
10
00
10
10
10
01
00
10
00
00
10
11
10
11
10
11
10
00
00
00
10
11
10
10
00
10
10
10
00
01
10
01
10
00
00
10
11
00
00
10
00
11
10
01
10
01
00
00
10
11
01
00
00
11
01
00
00
10
10
10
11
00
01
00
10
10
11
00
11
00
11
01
11
01
00
10
10
00
00
00
10
10
01
01
00
10
11
01
10
00
10
10
01
00
11
10
00
10
00
00
10
00
01
11
01
11
00
00
11
00
11
10
00
10
10
10
10
00
10
01
10
10
10
01
00
11
10
00
00
11
00
10
11
00
10
00
01
01
00
01
10
10
10
10
00
00
00
11
00
11
10
10
10
01
00
11
10
00
11
00
10
01
00
10
10
11
10
11
00
11
01
11
00
00
00
11
11
11
01
10
10
01
11
01
01
11
11
10
01
00
11
10
10
00
00
01
10
01
10
10
11
10
01
10
00
00
00
01
10
00
11
10
00
01
01
00
01
11
01
10
00
10
00
11
11
01
10
00
00
10
01
00
11
10
01
10
01
11
10
00
00
10
01
00
10
10
00
00
10
00
10
10
10
01
10
00
10
00
11
11
01
01
10
10
00
11
10
11
00
01
00
00
10
01
11
10
10
01
10
11
01
11
00
00
11
00
00
01
11
10
00
11
01
00
11
00
00
11
10
00
11
10
01
01
11
11
00
00
10
01
00
10
11
00
01
11
00
00
10
10
00
11
10
00
00
10
10
00
10
10
01
01
10
10
10
01
01
00
00
11
10
01
10
10
01
11
11
00
00
10
10
01
00
11
00
10
11
00
00
10
11
10
00
00
11
01
01
11
00
10
00
00
10
00
10
00
01
10
00
00
11
00
11
10
00
00
00
10
10
00
11
10
00
10
00
10
10
11
00
10
01
10
01
10
01
01
00
00
11
00
10
10
00
00
00
11
10
11
00
10
01
10
00
00
00
00
11
10
11
11
01
10
00
10
00
00
10
01
00
00
11
00
01
00
10
10
00
01
10
00
01
00
11
11
00
01
00
10
01
10
11
10
10
01
10
11
00
10
11
10
00
00
10
01
00
00
10
00
00
00
01
10
00
00
10
01
00
01
10
00
00
11
01
01
10
10
10
11
11
01
10
10
10
10
01
10
10
01
00
10
11
00
11
00
00
10
10
01
00
10
10
00
01
00
00
10
01
10
00
11
10
10
00
01
11
00
10
00
10
00
00
10
00
11
00
00
01
00
00
11
11
00
10
10
10
00
01
00
01
10
00
11
01
00
00
10
10
10
00
00
10
10
00
10
10
00
11
10
10
01
00
11
10
00
00
10
01
00
11
00
11
00
10
10
00
00
01
11
10
11
11
11
00
11
00
00
11
11
01
00
00
10
00
00
10
10
00
00
10
10
00
10
10
01
00
10
10
10
01
00
00
00
00
10
01
10
00
10
01
10
11
01
11
10
01
00
11
00
11
11
01
01
01
10
01
11
00
10
00
01
10
10
11
01
00
00
01
11
11
11
10
00
01
10
01
10
10
01
00
01
10
10
01
10
01
01
10
11
10
10
11
00
01
10
00
00
00
00
11
00
11
11
11
10
01
01
10
10
00
01
11
10
01
01
00
11
10
01
00
01
10
10
00
01
01
11
10
00
10
11
11
10
10
10
11
11
00
01
01
10
10
10
00
10
10
00
01
10
10
11
00
11
00
10
10
00
10
10
00
01
10
10
00
01
01
00
00
00
01
10
01
01
10
11
11
01
00
00
10
11
01
00
10
10
01
10
10
11
01
11
11
00
11
10
00
10
10
00
00
01
10
11
00
01
10
01
10
11
01
00
00
00
00
10
00
01
11
10
00
00
11
00
01
10
10
11
00
10
00
01
11
11
10
00
01
11
10
00
10
10
10
10
01
01
10
11
00
11
00
10
00
10
10
00
10
11
10
01
01
01
00
00
10
10
01
01
01
10
11
10
10
10
01
10
10
10
01
10
01
10
00
00
01
00
10
00
00
10
11
10
11
00
10
10
00
00
11
00
01
00
00
10
10
10
10
00
00
00
11
00
10
10
00
00
10
00
10
01
11
11
10
10
10
10
10
00
10
10
10
10
01
11
00
00
10
00
01
00
10
11
00
01
01
00
10
00
01
10
11
00
00
11
01
00
11
11
00
00
11
11
11
00
01
00
11
00
00
00
10
00
10
00
00
01
10
01
00
00
00
10
10
10
10
01
10
00
11
00
10
01
00
10
00
10
10
00
00
01
01
11
10
10
10
10
10
00
10
10
00
11
11
10
11
00
00
01
10
10
10
00
00
10
11
01
00
00
00
10
10
11
10
10
00
00
10
00
00
00
11
00
10
00
11
01
01
01
10
00
01
11
11
10
00
10
00
00
10
00
11
11
00
01
10
10
00
11
11
00
00
00
00
10
11
10
00
00
10
01
11
00
00
00
11
00
01
10
00
01
10
10
11
10
00
00
00
01
10
00
10
00
00
00
00
10
01
11
01
10
10
00
11
10
00
10
10
00
00
01
11
10
01
11
10
00
11
11
11
11
01
00
01
10
10
00
00
00
11
10
01
10
11
00
10
00
00
11
10
10
00
00
11
10
10
00
00
11
00
10
01
00
10
00
00
00
10
10
00
01
11
11
01
00
00
10
11
10
10
01
01
00
10
11
00
01
01
11
11
11
10
10
11
01
01
00
01
10
10
10
10
01
00
10
10
10
11
00
11
10
00
00
00
00
01
00
10
11
10
10
00
10
11
10
10
10
01
01
10
11
01
00
00
01
00
10
10
01
11
11
00
10
11
10
00
00
10
10
10
10
01
00
10
10
00
00
10
10
00
11
00
11
10
11
01
01
10
11
01
00
11
10
10
00
00
00
01
10
10
00
00
00
10
11
00
00
10
00
00
00
00
10
00
00
11
10
01
11
10
01
10
00
00
10
10
01
11
10
00
00
00
00
10
10
01
11
11
00
11
10
01
10
00
00
10
00
11
00
10
00
01
01
11
00
11
01
11
11
10
01
10
00
11
00
00
10
01
00
10
01
00
00
00
10
10
10
01
01
00
10
10
10
10
10
10
11
00
01
11
00
01
10
00
00
00
10
10
00
00
01
11
11
00
01
00
00
01
10
10
11
10
11
10
00
10
10
01
00
01
10
10
01
01
10
01
10
10
01
10
00
10
11
01
10
01
00
11
01
10
10
00
11
10
00
00
10
00
10
10
00
00
11
10
10
10
00
10
11
11
00
11
00
10
11
11
01
00
00
01
11
10
10
11
01
00
11
11
01
00
00
10
00
11
10
00
10
00
10
10
10
10
00
11
00
01
00
00
00
11
10
00
10
00
00
00
00
10
10
11
11
01
00
10
01
01
11
00
11
11
00
00
00
10
10
10
10
00
00
11
00
00
00
11
10
11
11
11
00
10
00
00
00
00
10
10
00
00
10
00
10
10
01
00
01
10
01
00
10
01
01
01
10
01
11
10
10
11
00
11
10
00
10
00
10
01
00
11
00
00
00
10
10
11
00
00
10
10
00
10
00
01
00
10
00
10
00
00
10
10
00
01
11
10
00
00
10
00
00
01
11
10
10
01
01
11
00
11
10
11
10
00
00
11
00
10
00
01
11
00
10
10
10
00
10
00
11
11
01
10
10
01
11
00
01
01
10
01
01
00
11
10
10
00
10
10
11
10
01
10
01
00
00
10
11
00
01
00
11
00
00
00
10
11
00
01
10
10
00
00
01
10
01
01
00
00
01
11
11
00
00
10
10
00
00
10
11
01
00
11
00
10
10
10
01
00
11
11
00
10
00
00
10
10
00
10
00
10
10
01
11
10
00
00
10
01
10
10
11
00
10
11
11
01
01
11
00
11
10
00
10
01
00
10
11
10
11
00
10
10
00
10
10
00
00
00
11
10
01
00
00
10
10
01
01
01
10
01
00
10
01
10
11
00
00
11
11
01
10
00
00
01
10
00
00
10
11
11
00
01
00
00
01
11
11
00
00
11
01
00
10
11
10
10
00
00
00
11
01
01
00
10
10
01
00
10
00
00
00
00
11
10
00
00
10
01
10
10
11
00
00
01
10
00
11
10
00
01
01
00
10
10
01
00
01
00
11
00
10
00
10
11
00
11
00
11
11
11
01
10
01
00
01
10
01
00
10
10
00
11
01
10
00
00
00
00
10
10
00
01
11
00
11
01
00
01
00
10
10
01
00
10
01
01
10
10
10
01
11
01
01
00
11
01
10
10
00
01
10
10
00
10
11
10
10
00
10
01
00
01
11
11
11
00
00
01
11
10
10
00
00
11
01
00
11
00
00
00
00
11
11
10
01
00
10
01
01
10
00
11
10
00
10
00
00
10
10
00
00
10
00
00
11
01
00
00
10
01
00
10
10
00
11
10
10
00
11
10
00
10
00
11
00
00
10
10
11
10
00
01
00
10
00
10
10
00
00
01
00
10
00
00
10
10
01
10
00
00
10
11
00
10
00
00
10
10
11
10
00
10
01
10
00
10
10
00
00
00
10
11
00
01
11
00
01
10
00
10
00
00
10
10
00
10
00
10
01
11
11
11
00
00
10
01
00
10
10
00
10
10
00
00
01
10
11
00
10
00
00
00
11
10
01
10
01
00
11
00
10
01
11
10
00
00
00
10
10
10
00
00
11
10
00
00
01
11
10
10
01
10
00
11
10
01
01
11
10
10
11
00
11
10
10
00
01
11
01
10
10
00
00
11
01
11
11
10
01
00
11
10
10
01
00
10
10
00
10
00
10
11
01
10
11
00
00
11
01
00
00
00
11
00
10
10
10
01
00
11
01
00
11
11
01
10
10
00
11
11
00
00
10
10
00
11
11
11
00
01
00
11
00
11
01
01
10
00
00
00
00
11
10
00
10
00
10
00
00
11
10
00
00
10
11
10
00
01
10
11
10
00
10
11
10
11
10
10
11
00
00
00
11
10
00
11
10
11
01
00
11
00
00
00
00
10
10
11
00
00
10
11
00
10
10
00
00
00
10
10
11
11
00
11
10
01
00
00
00
11
11
01
10
10
01
00
10
10
10
01
11
10
01
00
11
00
01
01
00
01
10
01
00
00
10
10
11
00
00
10
01
00
10
00
00
10
00
10
01
10
11
01
11
10
00
11
11
01
11
11
00
11
10
00
10
00
00
00
01
11
00
00
10
10
10
10
01
00
00
10
00
10
10
01
10
00
11
00
10
00
10
01
01
01
00
10
10
10
10
00
10
10
01
01
01
11
00
10
00
10
00
10
10
00
10
10
00
01
11
00
10
11
00
10
10
10
01
10
11
00
11
10
01
10
10
01
11
10
10
00
00
00
00
10
10
00
00
11
01
10
10
10
11
00
10
01
01
00
00
10
10
10
10
00
00
10
01
10
01
00
00
10
01
11
11
00
00
10
00
00
11
00
01
00
10
10
01
01
01
01
11
01
10
00
10
11
10
11
00
01
01
00
10
11
01
00
00
10
10
11
00
01
11
01
01
01
10
10
00
00
00
11
10
11
00
11
01
01
11
01
00
00
11
11
00
00
10
11
11
10
00
00
10
10
00
00
10
10
01
01
00
10
11
00
00
00
10
10
11
10
01
11
10
01
11
01
00
00
10
00
00
01
00
10
01
00
10
01
11
00
10
01
00
00
10
00
10
10
10
10
11
10
10
00
10
11
00
00
01
00
00
10
11
10
00
01
10
10
00
00
00
10
00
00
00
01
01
10
10
10
01
11
00
10
11
10
01
00
11
01
00
10
11
10
00
10
10
10
10
10
00
00
11
00
11
10
00
01
11
00
01
00
10
11
01
00
01
00
10
00
10
10
10
00
01
00
10
00
11
10
00
10
10
10
11
00
00
11
10
00
00
11
01
01
10
10
00
11
00
00
00
00
00
10
10
10
10
10
10
00
10
00
01
11
11
00
11
00
00
10
10
01
00
11
10
00
10
01
00
11
11
00
01
10
11
10
10
00
00
11
11
11
00
00
10
00
00
10
11
00
01
10
10
00
00
11
11
10
01
10
10
11
10
01
10
11
01
00
00
11
00
10
00
00
00
01
11
10
00
01
00
10
10
01
00
00
01
10
00
00
11
00
10
00
10
11
00
00
00
11
10
10
10
10
10
10
10
00
00
00
00
00
00
10
10
11
10
01
01
00
00
01
11
00
00
10
10
01
01
01
00
10
10
10
00
10
00
11
11
10
11
10
00
11
10
00
10
10
01
11
10
11
10
00
11
10
01
00
00
10
01
00
10
00
00
11
10
10
10
01
11
10
11
11
01
10
01
00
00
00
10
10
01
00
10
10
00
10
11
10
00
10
00
10
10
00
01
11
11
10
10
00
00
10
10
01
00
10
10
01
00
11
00
11
00
10
11
00
01
11
00
00
10
01
00
00
11
11
11
11
00
11
10
00
00
00
11
10
10
00
00
10
11
00
11
10
00
01
10
10
10
10
00
00
11
10
10
10
00
01
11
01
00
11
00
10
00
10
01
11
11
00
11
00
01
10
10
10
00
00
11
00
10
00
00
10
00
01
10
00
01
00
00
01
10
00
10
10
01
00
00
10
00
00
10
10
11
00
10
11
01
01
11
11
10
00
00
11
01
01
01
10
10
01
00
10
10
00
00
01
00
10
00
00
01
01
10
01
10
00
10
01
00
01
01
10
00
10
11
10
00
11
11
01
00
01
00
01
10
11
10
00
10
00
01
10
10
00
01
00
01
11
11
00
01
00
01
11
10
10
11
00
11
00
01
10
11
10
10
11
00
01
00
10
00
00
00
01
00
10
11
01
01
00
10
11
00
01
11
01
11
01
10
10
00
11
11
01
10
10
00
01
00
10
00
00
01
10
01
00
01
00
00
00
11
10
11
10
01
01
00
10
11
10
00
10
00
01
11
00
11
00
10
10
01
01
10
01
00
10
00
01
10
00
10
10
01
10
01
10
00
00
00
01
00
10
11
10
00
01
10
01
01
10
11
01
00
00
10
11
11
00
00
10
10
00
00
00
10
11
01
10
11
01
00
00
00
00
10
00
11
10
00
10
10
00
01
01
11
00
10
11
11
00
00
01
10
00
10
00
00
00
11
10
10
00
01
11
11
01
10
00
00
00
10
00
01
10
00
01
10
00
11
00
00
10
00
11
00
01
10
00
10
00
10
00
00
10
11
00
11
11
10
00
10
00
10
01
00
10
10
10
01
01
01
11
00
00
11
01
00
10
10
00
10
11
00
11
10
01
11
10
11
10
10
01
01
01
11
11
10
10
11
01
10
10
00
00
10
10
00
01
10
11
00
10
00
11
11
01
00
00
01
00
01
10
11
00
00
11
01
10
10
11
00
00
10
01
11
10
00
00
01
00
10
10
00
10
10
01
00
01
00
01
00
00
11
10
11
01
00
10
10
00
01
11
11
01
01
10
10
00
00
10
10
01
10
10
10
00
11
10
01
00
10
01
01
11
11
10
01
00
10
00
10
10
11
00
01
10
01
10
00
01
00
10
10
11
10
01
01
10
00
10
00
10
11
00
10
10
11
01
00
00
11
10
00
10
11
10
01
00
10
00
00
00
10
11
00
10
10
00
11
11
00
11
00
11
00
10
11
00
10
00
11
10
00
01
10
11
00
00
10
00
10
01
00
00
00
10
11
10
00
10
01
10
10
00
10
10
01
00
00
10
10
00
10
11
10
00
10
10
00
00
01
11
10
00
00
10
11
10
10
00
10
00
01
10
00
01
10
01
00
01
00
10
10
01
10
01
00
10
10
01
00
10
00
00
00
10
10
10
00
00
10
00
10
11
11
01
10
01
00
00
00
01
11
10
00
00
10
01
10
00
00
10
01
10
00
11
10
01
10
00
01
11
11
00
01
10
01
11
11
01
01
00
10
01
01
10
11
00
01
10
00
00
00
10
01
11
10
11
01
10
00
00
10
00
01
11
11
10
11
01
01
11
10
00
00
10
10
01
01
10
10
00
10
10
10
11
01
00
10
10
10
11
10
11
00
10
10
11
10
00
10
00
01
10
11
00
00
01
11
10
01
11
10
00
00
00
00
11
10
10
10
01
11
00
10
10
00
11
00
00
10
10
10
10
00
00
11
11
00
00
11
00
00
01
00
11
10
10
10
00
00
10
10
10
10
00
00
01
10
11
11
10
11
01
10
00
10
10
00
00
00
10
10
01
01
01
10
10
00
00
00
10
10
01
11
00
11
00
01
10
10
00
01
00
10
10
01
01
01
00
11
01
00
10
10
00
00
10
11
11
00
00
00
01
01
00
01
00
11
10
10
10
00
01
11
00
00
00
10
00
01
10
01
10
00
11
10
01
00
10
10
00
00
10
00
10
00
00
01
00
10
00
10
10
11
10
01
10
10
00
00
11
00
00
11
11
00
01
11
11
00
00
01
01
00
00
00
10
10
10
11
01
01
11
00
01
00
11
01
00
10
10
10
00
00
11
10
01
01
10
11
10
11
00
00
10
00
11
01
11
00
10
11
10
01
10
10
00
11
10
10
00
01
01
10
00
10
00
01
11
11
10
01
10
11
10
00
01
10
10
00
00
11
10
00
00
10
00
01
00
10
10
00
00
10
01
10
01
01
11
11
10
01
00
00
10
10
10
00
10
11
00
01
11
00
10
10
01
10
10
01
00
10
10
10
10
00
11
01
11
10
00
01
10
10
00
10
10
00
10
10
10
00
00
11
00
00
00
00
11
00
10
10
11
00
10
10
01
01
10
10
10
00
10
10
00
01
10
10
00
01
01
10
01
00
10
11
01
11
00
00
10
00
00
00
10
11
10
11
00
01
00
10
10
00
01
01
01
10
10
00
00
11
10
00
10
11
00
10
10
10
10
10
00
00
01
11
01
00
10
11
00
01
00
10
11
00
00
10
11
00
01
11
10
00
11
11
01
11
10
00
00
10
01
11
10
00
00
00
01
10
11
00
10
11
10
10
10
00
01
00
11
00
00
00
01
00
11
01
01
00
10
10
11
00
11
10
00
01
11
10
00
00
10
00
10
00
10
10
00
10
01
00
11
10
01
00
01
01
10
11
00
11
10
01
01
10
10
10
10
00
00
10
01
01
11
10
10
00
10
11
00
11
10
00
10
11
10
00
00
10
01
00
10
01
00
10
10
10
10
00
00
01
11
11
11
01
01
10
10
10
10
01
00
10
00
00
00
10
10
10
00
11
10
00
00
00
11
00
10
10
10
10
10
01
00
00
00
01
01
10
00
01
10
00
10
10
00
00
11
00
00
11
10
00
00
01
10
10
00
01
10
11
10
11
01
01
11
10
10
00
11
00
01
10
01
10
10
10
00
10
11
10
00
01
01
10
10
00
10
11
10
10
10
00
00
00
01
10
10
00
00
00
01
00
10
10
00
11
01
00
10
11
10
10
10
00
01
11
11
00
00
11
11
01
11
00
10
10
10
11
00
01
11
00
10
10
10
11
00
01
00
11
00
10
00
00
10
10
00
00
11
01
01
10
00
00
11
10
10
10
01
10
10
00
10
00
01
00
01
00
10
10
01
00
00
10
10
00
10
11
00
00
10
00
00
00
00
00
11
10
10
11
10
10
01
01
11
11
10
01
00
10
00
00
11
10
01
00
11
00
10
10
11
00
01
10
00
00
10
10
01
10
10
00
00
10
11
01
00
11
10
10
10
00
11
00
10
01
00
00
10
01
00
00
11
01
00
00
00
10
00
11
01
00
11
10
00
00
11
00
00
01
11
10
11
00
00
00
11
01
10
11
00
00
00
00
10
10
00
10
11
10
01
00
10
11
00
00
00
01
10
00
10
10
10
10
10
00
10
01
10
01
01
00
01
10
00
11
00
00
01
01
10
00
11
00
10
00
01
10
11
11
11
00
00
10
10
00
00
10
10
00
10
10
00
10
01
01
10
00
01
10
00
00
10
10
00
00
01
10
00
01
10
01
10
11
00
00
00
10
00
10
10
01
00
01
11
00
00
01
00
11
10
01
10
00
00
10
00
00
11
10
00
11
10
11
00
01
01
10
11
01
10
01
10
11
10
01
00
01
10
11
01
00
11
00
11
11
00
00
11
10
11
00
01
10
10
10
11
11
01
00
11
10
00
10
11
10
00
00
10
10
10
00
00
01
00
10
10
00
00
01
10
10
10
10
00
01
10
10
11
00
00
01
10
10
10
00
00
11
11
01
01
10
11
00
00
11
11
00
01
01
11
00
00
10
10
11
00
01
10
10
10
00
00
10
10
00
10
10
11
11
10
01
10
11
00
10
00
00
10
10
10
00
10
10
00
10
00
11
10
10
01
10
00
00
00
00
00
00
00
10
10
00
00
10
10
10
01
01
00
00
11
00
10
11
00
01
10
11
10
00
01
11
00
10
10
01
01
00
00
00
10
10
10
00
01
10
00
00
01
11
10
00
10
01
00
00
00
10
11
11
00
00
10
01
00
10
00
00
00
10
11
10
01
01
10
11
10
10
00
00
10
10
00
00
11
11
10
00
10
11
10
00
00
00
00
10
00
11
00
10
11
00
10
00
00
01
01
10
00
10
01
11
10
10
00
10
00
10
10
00
01
10
01
10
10
11
11
00
01
11
01
10
01
11
10
01
00
00
00
01
10
10
11
00
10
01
10
11
11
11
00
01
00
00
11
00
11
01
11
11
10
00
01
11
00
00
00
10
00
10
11
01
10
10
10
00
10
00
00
11
10
10
00
10
10
10
11
01
10
11
11
11
11
11
11
10
00
00
11
10
00
11
00
10
00
01
00
10
00
00
10
10
11
10
10
10
01
00
10
10
01
10
11
11
10
11
10
11
00
00
11
10
11
01
00
10
01
11
01
11
01
01
10
10
01
10
11
00
00
00
10
10
00
10
11
00
10
11
10
00
00
10
11
00
11
10
10
00
00
11
00
01
11
01
01
00
00
11
00
00
00
11
10
11
00
10
01
10
11
00
10
01
00
00
10
10
00
00
10
10
00
01
10
11
10
11
10
00
10
01
10
10
01
10
00
01
00
10
11
01
10
10
00
01
10
11
00
00
10
10
00
00
00
11
00
11
10
01
10
11
10
00
10
10
11
00
11
10
00
01
10
10
10
00
01
10
00
00
10
01
01
01
11
11
01
00
11
10
00
00
01
01
10
10
00
11
01
00
10
01
00
00
10
10
10
00
00
01
10
01
00
10
10
00
10
10
10
00
01
11
01
10
11
11
10
01
10
01
00
00
10
00
10
00
11
10
10
00
10
01
00
10
00
00
10
00
00
10
00
11
00
11
10
00
01
00
00
11
11
10
00
00
10
10
00
00
01
00
00
11
00
00
10
10
01
10
00
00
10
10
10
01
11
10
00
10
11
01
10
00
10
11
00
00
10
00
01
00
10
00
00
00
11
11
00
11
10
10
10
00
00
11
10
01
10
01
10
10
00
10
01
00
00
01
00
01
00
00
00
10
11
11
11
00
00
10
00
01
00
00
10
10
01
11
10
01
00
11
00
10
10
10
01
01
01
10
00
01
00
10
11
00
00
01
11
10
10
11
00
11
11
10
11
00
00
10
01
10
11
11
00
00
00
10
00
10
11
00
11
11
10
10
10
00
10
00
00
10
10
00
00
11
10
01
11
01
10
10
01
00
10
10
01
10
00
01
00
10
10
01
00
11
00
00
10
00
11
01
11
11
01
00
10
11
10
00
00
10
00
01
10
11
00
00
10
00
10
10
01
00
10
10
01
01
10
00
00
00
10
01
00
00
11
11
10
01
00
11
00
10
10
01
10
00
01
10
01
00
11
10
10
00
00
10
10
10
01
10
10
01
01
00
10
10
00
11
00
11
10
01
01
10
00
10
11
01
01
10
10
00
10
10
00
01
10
10
00
00
10
10
01
00
10
10
01
10
10
00
01
10
00
00
11
00
11
10
10
01
10
00
00
00
01
10
11
00
00
10
10
00
11
10
01
00
10
10
01
00
10
00
00
01
11
00
11
10
10
00
00
01
11
01
01
11
00
10
10
01
11
10
00
10
10
10
11
00
10
00
00
11
00
11
10
10
00
00
11
10
10
00
11
11
00
01
11
01
11
00
00
11
10
00
00
10
00
10
10
10
10
01
01
11
00
11
10
10
11
00
01
10
01
00
10
10
00
00
11
00
00
00
10
10
10
10
00
10
00
00
01
10
00
01
11
01
11
00
11
00
00
00
10
11
10
01
00
10
10
10
00
00
11
10
00
10
00
11
10
10
11
00
01
00
10
00
01
00
10
01
00
01
10
11
00
01
10
00
00
00
00
10
11
00
10
11
10
00
00
01
10
10
00
00
00
01
00
11
10
00
00
00
01
10
11
01
10
10
01
10
00
01
11
00
00
10
10
01
10
10
10
10
00
00
11
10
01
00
10
00
00
00
00
10
10
00
00
00
00
11
11
10
10
00
10
01
10
11
00
00
00
01
10
10
00
00
00
10
10
10
00
00
00
10
00
00
00
10
11
10
00
10
01
01
10
01
00
01
10
10
00
00
11
10
01
00
01
10
01
10
11
00
00
11
00
01
10
10
10
00
10
11
01
01
10
10
10
00
00
10
10
11
00
01
01
00
01
11
00
01
10
11
00
10
11
00
00
11
10
00
00
10
00
10
01
10
01
00
10
11
00
00
01
10
10
10
01
01
10
11
00
01
10
00
00
10
10
01
01
11
10
01
00
10
10
00
10
00
10
10
00
00
10
01
00
00
00
11
01
00
01
10
10
00
00
01
10
00
00
01
10
00
10
10
11
10
10
10
00
00
01
01
10
00
01
00
01
00
10
11
10
10
10
11
11
10
11
10
00
00
00
10
00
00
00
01
10
11
01
01
10
11
10
01
10
11
00
01
00
10
10
00
01
11
00
01
00
11
01
10
10
00
10
11
00
00
00
11
00
11
10
11
00
00
10
01
10
10
00
00
00
10
10
00
00
11
01
00
00
11
11
00
00
10
10
00
10
10
00
00
10
00
11
10
01
10
00
00
00
10
00
01
11
00
00
01
01
01
01
10
01
10
01
01
10
10
01
00
10
10
10
01
10
00
10
01
00
10
10
00
00
10
01
11
00
00
01
11
01
00
10
00
10
00
00
11
10
01
01
00
01
10
01
01
10
11
00
00
00
01
10
10
01
01
01
11
00
01
10
11
00
00
10
00
00
10
11
10
01
00
11
10
01
10
00
00
11
10
00
10
11
11
10
00
11
00
00
10
00
10
00
01
00
10
10
10
11
11
11
10
10
10
00
10
00
10
10
01
10
11
10
10
11
00
01
10
10
00
11
10
10
00
10
10
10
01
00
00
00
11
00
00
10
10
11
00
11
01
00
10
10
00
01
01
11
11
10
01
10
11
00
00
10
10
10
00
11
01
10
01
11
11
00
00
00
00
11
10
11
00
10
10
10
01
10
00
00
00
01
00
11
10
00
01
10
00
10
10
01
00
00
00
00
10
00
10
10
00
00
10
10
00
10
00
11
10
00
01
01
11
10
00
11
10
01
00
01
01
00
11
11
01
00
00
11
10
10
11
00
01
01
11
00
01
01
11
10
00
01
11
00
00
11
01
00
10
10
10
10
00
11
11
10
00
00
10
10
00
01
00
10
11
00
01
00
10
01
10
11
00
10
01
00
00
00
00
10
11
00
00
11
10
11
01
10
10
00
00
00
01
10
10
10
11
11
10
11
00
00
00
01
11
10
00
01
10
00
01
00
00
10
00
10
10
00
10
01
00
10
00
11
10
10
11
00
10
00
00
00
11
01
01
10
11
10
11
00
10
11
11
00
01
01
11
00
10
11
00
11
00
01
10
11
01
01
10
10
00
10
10
01
10
00
00
11
11
00
11
10
01
10
10
11
00
10
10
00
00
00
01
00
11
11
00
00
11
11
01
10
00
10
11
00
00
00
10
11
10
00
11
11
00
10
11
11
01
11
10
10
10
11
00
00
11
10
00
00
10
01
11
10
00
11
10
01
10
10
00
10
10
00
10
10
10
00
10
11
10
00
00
10
10
01
10
10
10
11
10
00
11
10
01
00
00
00
00
10
00
10
10
10
00
00
00
01
10
01
10
01
00
01
00
11
01
01
00
10
11
10
11
01
10
10
11
10
01
11
10
00
00
11
10
10
00
10
10
00
11
10
00
10
11
01
10
10
00
00
10
11
11
11
10
00
11
11
10
11
01
01
10
01
01
00
00
00
10
00
00
11
10
00
10
10
01
10
00
01
00
01
10
00
11
10
00
01
10
10
10
00
00
10
10
11
00
10
01
00
11
01
00
00
10
10
00
00
11
11
01
00
00
10
01
00
10
10
00
00
10
00
00
10
11
00
11
00
00
10
11
11
10
11
10
11
00
10
00
00
00
01
00
11
10
01
01
10
10
10
01
11
10
00
00
00
10
11
11
10
01
00
10
00
10
01
00
10
11
01
01
01
10
00
10
11
00
10
11
00
10
00
10
11
01
11
10
10
10
00
00
01
10
10
10
00
01
10
11
00
00
00
01
01
00
00
00
00
10
10
00
00
11
10
00
00
00
00
10
01
01
10
10
01
00
00
11
10
10
10
00
01
00
01
10
00
00
01
10
11
00
10
11
00
11
11
00
00
01
10
10
00
00
10
10
00
10
00
01
00
01
00
10
10
10
01
10
10
00
01
10
00
10
11
00
00
01
10
10
11
00
00
00
10
00
00
10
10
10
01
11
01
00
10
00
00
11
10
01
00
10
00
00
00
10
10
00
01
10
10
10
11
00
10
10
00
00
11
11
00
10
11
10
00
01
00
10
11
01
10
00
10
10
10
00
00
10
00
11
11
11
01
11
11
11
11
00
10
10
00
01
11
11
00
11
10
10
10
10
00
10
10
00
11
11
10
01
01
00
10
00
00
00
00
10
00
11
10
10
00
01
11
10
10
11
00
10
01
00
00
00
00
00
00
11
10
00
11
00
01
11
10
01
00
11
10
00
00
10
00
00
01
11
10
10
10
00
11
00
00
10
11
00
00
10
00
00
10
10
11
11
01
01
00
11
01
00
10
01
00
01
00
10
10
11
00
10
10
00
00
00
10
00
11
10
10
00
01
00
01
10
01
11
11
01
10
01
10
10
00
01
10
10
01
00
01
01
11
10
01
00
00
10
00
11
00
01
10
10
00
00
01
10
00
01
10
11
10
10
01
11
10
11
00
00
00
10
10
10
01
00
01
10
00
10
00
00
10
00
00
11
10
00
10
10
01
10
11
10
10
00
00
11
10
00
00
10
00
00
01
10
00
00
11
00
01
00
00
01
11
01
00
00
10
10
00
10
00
00
10
10
10
10
00
00
00
10
10
11
00
00
01
00
00
00
10
10
00
10
00
00
00
10
10
10
10
10
10
00
10
01
00
00
01
10
00
00
10
00
00
10
10
10
10
10
00
01
01
10
10
10
10
00
00
11
11
01
00
11
10
10
10
01
00
11
00
10
00
00
10
00
01
10
00
10
10
00
01
01
11
11
00
00
11
10
00
11
10
11
00
01
10
10
01
00
01
10
11
10
01
00
00
10
10
01
00
11
11
00
11
00
00
00
00
11
10
10
00
01
01
01
01
10
00
00
11
10
00
00
11
10
10
00
00
01
10
10
10
00
00
11
10
01
11
10
01
01
01
11
00
00
00
10
10
00
10
11
10
10
00
01
11
10
00
01
10
01
11
11
00
00
00
10
11
00
00
11
01
11
00
00
11
00
00
10
00
01
11
11
01
11
10
10
00
01
00
10
00
10
11
01
00
00
01
10
01
10
00
00
00
10
00
00
10
10
01
00
00
11
10
11
10
10
01
10
00
10
11
00
10
00
10
10
10
11
01
00
00
10
10
01
10
11
00
11
10
00
00
00
11
11
10
10
10
10
10
11
10
01
10
00
01
01
11
11
11
00
00
00
10
10
01
10
11
10
00
10
00
10
11
11
10
01
11
10
00
10
10
00
10
10
00
00
11
00
10
10
00
00
00
01
00
11
01
00
00
10
10
00
00
01
11
10
01
00
00
10
00
11
11
00
00
01
00
00
10
00
11
10
11
10
10
00
00
10
01
10
11
10
11
11
11
11
10
10
01
11
10
11
00
00
10
00
00
10
11
00
01
10
10
01
01
10
11
10
00
00
11
00
10
10
00
11
11
01
11
01
10
10
00
00
11
10
01
10
10
00
00
10
00
00
11
11
01
01
00
00
00
11
10
10
00
00
10
01
00
01
10
10
01
00
01
11
10
01
11
01
00
10
10
01
11
10
01
10
10
01
00
00
01
00
10
11
01
11
11
10
00
00
11
01
01
11
10
00
01
10
00
00
11
11
00
00
00
01
10
10
10
10
11
01
00
00
10
10
10
10
10
10
10
10
01
00
10
00
00
10
01
11
00
11
11
11
11
10
10
10
01
01
01
10
11
00
11
10
00
01
00
00
10
00
10
01
00
10
00
01
00
01
11
10
00
01
00
00
10
00
10
10
10
10
10
10
10
10
00
00
11
10
01
01
10
10
00
00
01
00
10
00
00
11
10
01
00
00
00
10
11
10
10
10
11
10
01
00
11
00
11
10
01
10
00
00
10
11
01
00
10
00
00
01
01
10
10
00
00
01
00
10
10
00
00
10
01
01
11
10
00
10
00
00
00
00
11
11
11
10
01
11
00
00
10
00
01
10
00
10
11
10
01
00
11
00
00
10
01
10
10
01
01
10
01
11
00
11
00
10
10
11
01
00
10
01
11
10
11
10
10
00
10
00
10
01
00
11
10
01
10
10
10
00
00
10
10
00
10
10
10
00
00
10
01
10
10
11
10
10
10
00
01
10
10
10
10
10
10
10
10
00
00
01
10
00
00
10
01
00
11
00
01
10
10
01
00
10
00
10
11
10
10
01
10
10
00
01
11
10
10
00
00
10
10
10
10
00
00
11
00
10
00
00
10
10
00
01
11
10
00
00
11
10
10
11
10
00
00
10
10
00
11
00
10
10
11
01
00
10
11
11
01
10
01
01
11
10
01
10
11
11
00
00
01
00
10
11
00
10
10
10
01
00
10
01
11
00
01
01
11
10
10
10
01
00
00
00
11
11
00
01
10
00
10
01
11
00
01
11
00
10
10
01
01
10
10
10
00
00
10
01
10
10
00
00
10
10
10
11
10
10
11
10
00
10
11
00
10
11
01
10
01
11
11
10
11
10
00
00
01
01
00
11
10
11
11
00
00
11
01
00
10
10
10
00
01
10
00
01
10
00
01
10
00
01
01
10
11
00
11
00
10
11
00
11
10
11
01
10
00
10
11
10
00
00
01
11
00
10
10
10
11
10
11
00
01
00
00
01
10
11
00
11
10
00
11
11
00
11
00
01
00
00
10
10
11
00
10
11
00
10
00
11
11
10
00
10
00
00
11
00
01
00
00
10
00
10
11
11
10
10
01
11
10
00
10
11
10
01
10
00
10
10
11
00
00
00
01
01
01
10
10
10
00
10
00
10
01
10
10
00
01
10
11
00
00
10
10
10
00
11
11
11
11
00
00
00
10
10
00
00
10
11
10
00
01
11
00
10
00
10
10
10
01
10
10
00
01
10
01
00
10
10
01
10
00
00
10
10
11
11
11
01
00
00
10
00
10
00
00
10
01
00
01
00
01
10
01
10
10
11
11
10
00
00
10
10
10
00
01
10
10
10
01
00
11
10
11
00
01
10
00
10
10
01
01
01
10
01
01
00
00
10
01
00
11
10
00
00
11
10
10
10
01
10
11
00
10
01
10
10
01
01
00
01
00
10
10
01
11
00
11
10
10
01
10
00
01
10
10
00
11
00
00
10
10
00
01
00
10
10
10
10
11
00
01
10
01
10
00
00
11
10
01
01
10
10
10
00
01
00
10
10
01
10
11
00
00
10
11
01
01
01
10
00
00
00
10
10
00
00
10
00
01
11
01
11
00
11
00
11
10
10
00
01
10
10
00
01
00
10
00
10
10
10
01
01
01
01
00
10
00
00
10
01
00
11
11
01
00
00
00
11
00
00
10
11
00
00
00
10
10
01
00
00
01
01
00
10
11
10
11
11
01
00
10
11
01
10
11
00
00
00
00
11
11
11
00
10
00
11
00
00
01
10
10
00
10
00
10
01
00
00
10
11
10
11
00
01
10
11
00
10
10
10
10
00
10
10
00
01
11
00
00
00
11
10
11
10
01
00
00
10
00
00
10
00
10
10
00
01
00
00
10
00
11
10
11
00
01
01
00
00
11
10
00
01
01
00
01
10
10
00
10
00
10
10
00
00
10
10
01
00
11
00
10
00
10
01
10
00
00
00
11
10
10
10
01
00
11
10
01
00
11
01
01
11
10
00
10
10
00
10
10
00
00
01
00
00
01
10
00
11
01
00
00
00
10
01
01
10
11
01
01
10
10
00
10
10
00
11
10
00
10
01
10
01
10
11
10
10
01
00
10
10
00
00
10
10
10
01
00
00
10
10
10
10
10
01
11
00
01
00
01
11
10
01
10
11
01
00
10
10
01
01
10
00
10
11
11
10
01
01
00
11
01
10
11
10
00
01
10
10
01
01
10
10
00
00
01
10
00
10
10
10
00
00
10
11
01
00
00
10
11
10
11
11
00
01
11
10
11
00
01
10
00
11
11
00
10
00
00
00
01
00
10
00
00
10
11
01
00
01
10
10
00
00
10
10
00
00
10
01
11
00
00
01
00
01
00
00
10
10
00
01
10
11
10
11
11
01
10
01
11
11
11
11
01
00
01
10
01
00
10
10
01
00
10
01
10
00
00
00
10
10
11
00
01
00
10
00
10
01
10
00
01
10
10
10
10
10
11
00
00
10
00
10
11
01
10
00
00
10
01
10
01
10
01
10
10
11
10
01
00
01
10
11
11
00
10
10
01
01
10
11
00
01
11
01
01
00
10
10
00
00
11
10
01
10
00
10
10
11
10
10
01
00
11
01
11
10
10
10
10
00
00
01
10
10
00
00
10
10
00
10
10
00
11
01
10
00
01
11
10
00
10
10
00
10
10
00
00
10
10
00
00
00
11
11
00
10
00
10
10
01
11
00
10
10
01
11
10
00
10
00
00
00
01
11
00
10
00
11
11
10
10
10
11
00
10
00
00
00
10
00
10
11
11
10
00
10
10
10
00
01
11
11
00
11
01
01
11
11
11
10
10
01
10
00
01
10
11
10
00
10
01
10
01
10
10
10
10
00
10
10
00
00
10
00
10
00
11
01
10
10
01
10
00
01
00
00
10
11
10
00
10
11
10
00
00
01
10
11
01
10
10
00
10
10
00
01
11
10
10
01
01
10
00
10
11
00
01
00
00
10
10
00
00
00
10
11
10
00
00
10
00
10
01
10
10
11
00
10
10
10
00
00
10
00
10
10
00
11
10
01
00
00
00
00
00
00
10
10
00
11
10
01
01
10
00
10
00
10
10
00
11
01
11
11
00
00
10
01
00
10
10
10
00
10
00
01
00
11
00
10
00
01
00
00
01
00
10
10
00
10
00
01
11
00
00
11
10
00
11
11
00
00
00
01
10
11
01
10
10
00
11
01
00
10
00
11
11
11
10
10
01
00
01
11
11
00
01
00
01
11
10
00
00
10
00
11
11
01
11
10
01
00
10
10
00
01
10
01
00
10
10
11
01
10
00
11
11
11
10
00
00
11
11
00
01
10
10
10
00
11
00
10
11
01
11
01
10
11
01
00
10
10
00
01
10
10
00
00
00
00
10
00
00
10
10
00
01
10
00
11
10
00
11
11
01
00
00
11
10
01
00
10
00
10
10
10
10
01
10
10
01
10
01
00
01
01
11
10
01
10
10
11
00
10
11
10
01
01
10
00
11
11
10
11
00
00
10
10
00
01
10
10
01
00
10
10
10
10
01
10
11
00
00
10
00
10
10
10
01
10
11
00
10
10
00
11
00
01
10
10
11
11
00
00
10
11
00
11
10
11
11
00
10
10
10
00
00
10
00
11
11
10
10
10
01
10
10
00
00
01
11
10
10
01
00
01
00
10
10
00
10
01
10
01
00
10
00
11
11
00
00
00
11
10
11
01
11
00
10
10
00
00
11
10
00
01
10
00
00
11
10
01
00
10
10
10
10
00
01
10
01
00
10
00
00
10
01
00
10
11
00
10
01
10
10
10
01
01
00
00
11
11
00
01
00
00
10
11
11
10
01
10
11
00
11
11
01
10
10
00
00
10
00
11
10
11
00
01
01
11
00
00
00
00
00
01
01
10
10
00
10
10
00
00
11
00
10
01
10
10
00
10
10
00
10
00
10
11
00
11
00
10
01
10
10
00
10
00
00
10
00
10
11
01
10
10
01
01
10
00
01
11
01
00
10
00
11
00
10
10
11
01
00
01
00
00
11
10
01
11
01
00
11
11
10
10
00
00
10
10
00
00
11
10
01
00
00
00
10
10
01
00
11
11
11
01
01
00
11
11
10
00
00
10
11
10
01
00
00
00
11
01
10
10
01
00
10
10
01
00
00
01
00
01
00
10
01
10
11
10
00
11
11
00
01
01
10
10
00
11
00
00
10
00
10
11
00
01
01
10
01
11
00
00
10
11
00
10
01
00
00
10
10
10
11
11
00
10
10
11
10
10
00
00
10
10
00
00
00
11
11
11
10
10
00
00
10
11
00
10
10
10
10
10
01
01
00
11
10
00
11
10
01
10
10
10
11
00
01
00
10
10
11
10
00
00
10
00
10
11
00
11
00
00
00
11
11
00
10
10
11
01
01
01
10
11
01
01
10
10
01
10
10
00
00
00
00
00
10
10
10
01
10
01
01
11
10
00
00
11
00
00
11
10
11
00
00
00
00
10
11
00
10
01
00
10
00
10
00
10
11
01
00
01
10
11
00
01
10
10
00
01
00
01
00
11
00
10
00
01
10
10
01
00
10
11
11
01
11
00
01
01
11
11
01
10
00
10
10
01
10
10
10
00
00
01
10
00
00
00
00
01
10
11
00
01
10
01
00
00
10
00
00
00
00
10
00
10
10
01
00
00
01
10
01
00
10
10
00
11
11
10
00
00
11
10
11
00
10
10
11
10
00
01
11
00
01
11
00
10
11
00
10
10
00
00
11
11
01
01
00
10
10
10
00
00
10
00
00
00
11
10
00
11
11
01
00
10
10
00
10
00
10
10
01
10
11
01
10
10
10
10
00
10
10
00
01
11
00
01
11
00
10
10
00
10
00
00
00
10
11
10
11
10
10
01
01
10
11
10
00
10
11
00
10
01
11
00
10
00
01
10
10
11
00
11
10
00
10
00
01
10
00
00
01
00
10
11
01
10
10
10
00
01
00
10
10
00
01
11
00
00
01
00
11
11
11
00
11
01
11
11
00
01
11
00
00
00
10
11
01
01
01
10
10
11
00
01
10
00
00
00
00
10
00
00
10
01
00
10
00
10
00
01
01
10
11
00
00
00
10
10
11
10
00
00
00
01
00
01
00
01
10
10
01
01
10
11
00
00
00
10
00
01
10
11
10
10
10
00
01
10
11
00
00
10
10
00
10
00
00
11
00
00
01
00
00
11
10
11
01
00
10
01
00
10
00
01
10
11
00
11
00
00
00
00
00
10
11
10
01
11
11
00
00
00
10
11
01
10
10
00
00
00
11
00
01
10
10
00
00
10
10
00
00
01
01
10
11
10
11
01
10
11
00
00
10
00
00
00
00
11
01
01
00
00
00
01
00
11
10
10
11
10
01
00
00
10
01
01
10
11
10
10
10
00
01
10
10
01
10
10
11
10
01
00
10
00
11
01
01
10
10
11
10
10
11
01
00
00
01
10
11
01
10
00
01
10
01
10
11
00
10
10
11
10
10
10
01
00
11
11
01
00
10
10
00
00
10
11
00
00
11
00
00
00
10
10
10
01
01
10
10
01
00
10
00
10
10
01
00
10
00
00
10
10
10
00
00
10
00
10
10
00
01
01
00
10
10
11
10
11
00
11
00
01
10
10
10
10
00
00
00
10
10
00
10
00
00
01
00
11
10
01
10
00
10
10
00
00
10
11
00
00
00
10
11
10
11
00
00
00
01
10
00
10
00
01
10
00
01
10
10
10
10
11
01
00
01
00
10
01
11
01
01
10
10
11
10
11
01
00
10
00
10
11
10
00
00
01
10
00
00
00
11
10
11
10
00
00
10
01
00
01
10
10
00
10
00
00
00
11
10
00
00
00
00
11
01
10
10
10
10
11
00
00
01
01
10
11
00
00
11
10
00
00
11
10
00
10
10
10
00
11
00
10
10
10
00
00
10
11
10
11
11
11
01
01
11
10
11
10
00
00
10
00
10
11
00
00
00
01
10
00
10
01
10
11
10
11
01
01
11
10
11
10
11
00
00
11
10
10
00
00
00
10
11
11
11
00
00
00
10
10
10
00
01
10
00
01
00
10
10
01
00
11
11
10
01
00
11
01
11
00
10
00
00
00
10
00
00
10
11
11
10
10
10
01
00
10
11
01
00
10
10
00
00
10
10
10
11
10
00
00
00
10
00
10
10
11
00
00
00
00
00
01
10
11
10
11
00
10
01
10
01
00
00
10
00
11
10
11
01
00
11
01
11
10
00
00
00
10
11
00
10
10
10
10
10
00
10
00
00
10
10
10
01
10
10
10
01
00
10
00
10
00
11
00
01
00
10
10
00
11
11
00
00
00
11
01
10
10
00
00
00
01
00
11
10
01
10
01
01
11
01
00
10
10
10
01
01
00
10
10
01
10
10
00
00
01
01
10
00
10
00
00
10
10
10
10
01
10
01
01
00
00
00
11
11
11
00
10
10
00
00
00
10
00
10
11
00
00
10
10
11
01
10
01
00
00
10
11
00
00
11
10
10
10
10
01
00
00
01
11
10
10
11
11
00
00
01
00
11
11
11
01
10
10
00
00
01
00
10
10
01
10
11
10
11
00
10
00
00
11
11
01
10
10
10
01
00
10
01
00
10
11
10
10
01
11
00
00
10
00
10
11
00
01
00
10
10
00
11
11
01
00
11
11
00
00
10
11
11
10
01
01
01
10
10
01
01
00
11
11
01
00
10
01
01
10
10
11
11
01
01
10
10
10
00
00
00
10
11
00
00
11
10
00
00
00
00
00
00
11
00
11
10
10
01
10
00
00
10
00
00
00
00
10
11
01
10
00
00
11
00
01
10
00
10
01
01
00
00
10
00
10
00
00
00
10
11
10
00
01
00
01
01
01
11
10
11
00
00
00
01
11
10
11
00
01
11
10
10
00
00
11
11
10
00
00
10
11
00
00
10
01
00
01
00
10
01
00
10
11
00
01
00
01
11
11
00
01
00
00
10
11
00
00
11
10
10
00
00
10
01
10
11
11
00
10
01
11
11
01
00
01
10
10
00
11
10
00
00
00
01
00
01
10
01
00
10
10
00
01
10
11
00
11
10
00
10
10
11
00
01
10
10
00
01
10
01
01
11
00
10
10
11
00
01
11
10
00
00
00
00
01
11
00
11
10
00
01
00
10
10
01
00
10
00
11
10
10
01
01
11
10
01
10
11
11
00
00
01
10
10
10
00
00
10
10
10
00
10
00
00
00
10
10
10
10
01
10
10
10
10
01
10
00
00
10
01
00
10
01
11
00
10
10
00
10
10
00
11
00
10
01
10
10
11
01
00
00
10
10
01
01
01
11
10
01
10
10
00
10
10
00
00
10
00
10
00
00
10
11
11
11
10
00
00
00
11
10
00
01
00
01
10
10
10
00
00
10
00
00
10
00
01
10
10
11
00
10
11
00
00
11
01
00
00
11
10
01
00
10
10
00
11
10
01
00
11
10
01
00
10
01
01
10
11
00
00
10
10
11
00
00
10
10
10
00
10
11
10
00
00
01
10
01
00
10
10
11
10
00
10
00
01
00
10
10
10
01
01
10
11
01
01
11
10
11
01
00
10
00
00
10
10
01
10
00
00
11
10
00
00
10
00
00
10
11
00
11
00
11
00
11
00
00
00
10
10
10
11
00
10
01
01
10
01
00
10
10
10
00
10
10
10
00
00
00
01
00
10
10
01
01
01
00
10
00
00
11
10
10
10
10
10
00
00
00
10
10
11
01
01
01
00
00
01
01
10
10
00
01
01
10
10
00
00
00
00
11
00
10
10
10
11
10
00
00
01
01
00
11
10
01
01
10
00
00
10
10
10
00
10
10
00
10
00
01
10
01
10
10
11
00
00
00
01
10
10
00
00
01
10
00
11
00
10
10
11
10
00
01
00
00
00
00
10
01
10
11
00
10
10
10
10
01
00
01
10
01
11
10
00
11
11
00
00
11
10
10
01
01
01
11
10
01
10
01
11
10
00
00
10
10
11
00
01
10
00
11
11
00
10
00
00
00
00
10
00
00
11
10
00
10
10
00
11
10
11
11
00
10
00
10
11
10
01
00
11
10
00
10
11
01
00
00
11
00
01
00
00
00
10
00
00
11
10
01
01
00
10
00
10
10
01
00
11
00
00
10
10
11
00
10
11
11
00
01
10
10
10
00
10
00
11
11
00
00
10
11
10
10
01
00
00
10
00
10
00
00
11
11
01
11
10
11
10
10
01
01
11
10
11
00
10
00
11
00
10
00
00
00
10
00
10
00
01
00
00
00
10
10
00
10
01
10
11
10
01
10
11
01
00
00
11
00
01
00
10
00
01
10
10
11
01
11
10
10
00
00
01
00
11
10
10
00
01
00
01
10
10
01
10
10
10
00
00
00
10
11
11
00
00
10
11
10
01
00
01
00
10
10
00
00
10
11
11
10
10
01
00
01
10
11
00
10
11
11
00
00
00
10
00
00
10
11
10
01
11
10
10
11
11
11
10
10
00
01
10
00
01
10
10
10
10
01
10
11
00
11
00
11
00
00
00
10
11
00
10
10
10
01
10
00
00
10
00
11
01
00
00
10
00
01
00
01
11
10
00
00
00
11
11
00
01
11
10
01
11
11
11
10
00
01
10
10
00
00
11
11
10
10
00
01
01
10
11
10
10
10
00
01
10
11
00
10
00
11
00
01
11
11
10
00
00
10
10
00
10
00
00
10
00
10
00
00
11
11
00
10
00
10
11
00
10
00
00
10
11
10
10
00
10
10
00
11
00
00
00
10
10
01
01
10
00
00
00
10
00
01
10
11
10
00
10
00
10
11
00
10
00
10
10
00
10
10
00
10
00
01
11
10
10
11
01
10
00
10
10
00
10
00
01
11
00
10
10
01
00
00
00
10
11
11
00
10
10
00
10
11
01
10
10
10
00
10
11
00
10
00
01
00
00
00
10
10
11
11
01
10
11
00
10
11
10
11
00
10
01
01
01
01
01
10
10
11
11
00
11
11
00
00
00
11
01
10
10
01
01
10
11
00
10
00
11
10
01
11
10
01
10
00
01
00
10
10
00
00
00
00
10
01
10
10
00
01
10
01
00
10
11
10
11
00
11
00
00
11
10
00
00
11
10
00
10
11
10
01
00
10
10
01
10
10
00
00
01
10
11
01
00
11
01
10
01
10
10
01
00
11
10
10
10
10
01
01
00
10
10
00
01
11
00
01
01
00
10
10
01
10
10
10
00
00
10
00
10
00
00
11
00
11
10
00
10
01
00
10
10
01
10
00
00
00
11
10
00
10
10
11
10
01
10
00
11
11
01
11
10
00
11
10
01
00
10
10
00
00
10
00
01
01
00
10
00
10
10
01
10
10
00
10
10
10
00
00
10
01
00
10
10
10
00
01
00
11
00
10
00
10
00
01
01
01
00
10
01
10
00
11
11
01
01
10
10
01
00
10
11
00
00
10
10
11
01
00
00
10
10
10
10
01
10
00
10
10
00
00
10
10
00
10
00
11
10
00
00
11
00
00
11
00
00
00
10
10
00
00
00
00
11
10
11
01
01
01
00
10
01
01
10
10
00
01
10
11
01
00
10
10
00
00
00
00
10
00
11
10
11
10
11
00
11
10
00
01
10
00
00
00
10
10
10
00
10
11
10
01
00
00
10
00
00
00
00
01
00
10
01
11
10
00
10
00
01
01
10
11
00
00
10
01
11
00
10
11
00
01
11
11
00
10
10
01
10
11
00
10
10
01
10
10
10
00
10
00
00
00
00
11
11
10
10
10
00
10
01
10
11
01
01
11
01
01
00
11
10
00
10
01
00
10
11
10
10
00
10
01
00
01
10
00
10
01
01
00
00
00
10
11
11
01
11
00
00
10
00
10
01
00
10
10
00
00
01
00
00
10
11
10
00
01
10
01
10
10
10
10
10
01
00
11
01
11
11
11
11
10
10
01
11
10
00
00
10
01
00
11
00
00
00
00
01
00
10
10
10
01
10
10
11
00
10
00
10
10
00
00
01
01
00
10
00
00
00
11
01
11
11
00
10
11
00
00
11
10
01
10
10
10
10
00
00
00
10
01
10
11
10
10
10
00
01
10
11
01
01
00
11
00
01
10
00
00
00
10
10
00
11
00
00
01
10
10
10
10
10
10
00
00
10
01
10
00
00
11
00
10
10
00
01
11
11
11
10
11
11
10
00
11
01
00
10
01
11
11
00
11
01
00
10
10
10
01
10
11
00
00
10
10
00
00
01
10
10
00
00
01
10
11
01
01
11
10
00
01
10
10
00
11
11
00
10
10
10
00
01
11
10
11
00
01
00
11
10
00
01
10
10
01
01
01
00
00
01
11
00
11
00
01
10
10
11
10
10
10
01
00
11
10
00
00
10
10
00
11
00
10
00
10
11
10
10
01
10
00
10
10
11
10
11
11
10
11
00
11
10
10
01
00
10
10
10
00
00
10
01
11
01
11
00
01
10
11
01
00
11
10
10
01
11
01
10
11
00
10
01
11
10
01
00
01
01
10
10
00
10
10
10
00
00
00
10
11
10
11
10
01
10
00
00
10
10
00
00
10
00
01
00
01
10
00
00
00
00
10
00
10
10
00
00
01
10
11
01
00
00
11
01
00
10
11
01
11
00
10
10
00
11
11
00
01
01
10
00
10
11
11
10
01
00
00
01
11
00
00
00
10
10
00
11
01
00
10
01
00
00
00
10
10
10
00
10
00
01
11
10
00
10
10
00
00
10
01
01
10
00
10
00
11
01
01
01
00
11
00
11
10
10
00
10
10
00
00
11
01
00
10
10
00
00
00
10
00
11
00
11
11
00
11
00
10
10
01
01
00
00
10
10
10
10
10
11
01
00
11
11
01
10
10
10
10
11
01
00
10
00
10
10
01
01
10
11
00
11
10
00
00
01
00
10
10
00
00
01
10
10
11
01
11
01
00
11
00
10
11
10
00
00
00
10
10
10
00
00
00
11
00
00
10
11
11
10
11
00
10
10
00
00
01
10
10
10
00
10
11
10
10
00
01
01
10
00
00
00
11
11
10
10
00
10
00
11
00
00
01
10
11
00
10
10
00
10
11
00
01
00
10
10
00
00
00
01
11
10
10
00
11
00
11
10
00
01
10
10
01
00
11
11
01
00
10
01
10
01
00
11
11
01
10
00
00
10
00
00
10
10
01
00
00
00
10
00
10
11
01
10
00
10
11
10
11
00
00
01
00
11
10
10
00
11
00
11
11
00
11
10
00
11
10
00
00
11
10
01
00
10
00
10
10
00
10
10
00
01
00
11
11
10
11
10
00
01
11
10
00
00
10
11
11
11
10
11
01
01
10
00
00
11
00
01
11
10
10
01
00
10
00
00
10
00
01
10
11
11
10
10
01
00
10
10
01
01
10
00
00
00
00
00
10
10
10
10
10
10
10
00
00
01
00
11
11
10
10
10
00
01
10
10
00
11
00
00
00
10
11
10
00
00
00
10
11
11
11
00
10
11
00
01
01
10
00
10
10
10
01
00
11
10
00
10
10
00
00
10
11
00
10
10
00
11
00
11
00
00
10
11
00
01
00
11
10
00
00
11
00
00
10
10
01
10
11
11
00
00
00
10
10
01
00
00
00
11
10
11
10
10
00
00
11
00
10
00
00
10
11
10
10
00
00
10
01
11
10
00
00
01
10
00
01
10
01
01
10
11
00
01
10
00
00
00
00
10
10
10
10
10
10
00
00
10
01
00
10
00
10
10
00
01
00
01
01
01
00
00
11
10
00
01
10
10
10
00
00
00
01
10
10
11
00
10
10
00
00
11
10
00
00
00
00
00
10
10
01
11
01
00
00
10
11
11
10
00
00
10
10
10
00
00
10
11
00
10
10
01
00
11
00
00
11
00
00
01
10
10
10
10
01
10
10
01
10
11
00
10
00
00
10
10
00
00
11
01
01
00
01
11
11
11
01
01
01
10
11
00
00
10
11
00
00
10
10
10
00
00
10
00
10
10
00
01
01
00
00
01
00
01
10
10
11
11
10
00
00
11
10
00
00
00
10
00
00
00
00
11
10
00
11
00
00
00
01
11
00
11
01
10
00
01
01
10
00
00
01
00
11
10
00
10
10
00
00
00
11
10
11
00
11
01
00
10
10
10
00
01
10
11
11
10
10
01
11
10
01
01
10
00
00
01
10
11
00
10
10
10
10
11
10
00
01
11
11
01
10
00
10
00
01
00
10
11
01
10
10
01
10
01
00
00
10
01
00
10
10
00
01
10
00
10
10
00
00
01
10
10
10
10
11
10
10
00
00
01
00
11
11
10
00
11
10
00
10
11
00
00
10
00
11
11
00
00
00
00
01
01
11
00
11
00
11
00
01
10
00
01
11
11
00
00
10
10
00
01
11
10
00
10
00
10
01
01
11
10
10
11
11
00
01
01
10
01
11
01
10
00
00
00
00
11
11
01
11
11
00
01
11
01
01
10
11
00
10
10
10
01
10
00
00
10
00
10
00
10
10
10
01
00
00
00
10
11
01
10
00
00
00
01
01
10
11
11
01
00
00
10
01
00
11
10
00
00
11
00
10
00
00
00
10
11
10
10
00
11
01
00
01
11
11
00
01
00
10
00
00
10
11
01
00
00
11
01
00
10
01
10
00
00
10
10
00
01
10
01
10
00
10
11
00
01
10
11
00
00
00
10
01
10
00
00
00
10
11
10
10
10
10
10
00
10
01
00
10
01
00
10
00
10
01
00
11
00
10
11
01
00
00
10
10
11
00
00
00
11
10
00
00
10
01
00
11
00
00
10
11
11
11
10
01
00
11
01
10
10
00
10
11
01
00
10
10
10
10
00
00
00
00
10
00
10
10
00
10
01
10
00
10
00
11
00
01
10
00
00
01
11
10
01
01
01
00
11
11
11
01
01
11
10
00
00
01
10
11
00
00
00
11
01
00
11
00
00
01
11
10
10
10
10
10
00
00
10
00
10
10
00
00
01
11
10
11
10
00
10
01
00
00
00
00
00
00
10
11
01
00
00
00
10
00
10
01
10
11
00
00
01
10
00
01
10
10
10
10
00
00
00
11
10
00
01
00
10
10
11
00
10
01
00
01
10
00
10
10
00
01
01
11
00
00
01
11
11
10
10
01
10
10
00
10
10
00
00
10
10
11
10
01
11
01
01
00
11
10
01
00
10
10
10
10
01
00
11
00
10
10
10
00
10
10
01
10
10
11
00
00
10
10
10
10
10
01
11
10
00
01
11
11
10
11
10
00
11
00
01
00
11
10
10
10
01
00
10
00
10
10
10
10
01
11
01
11
11
01
00
01
10
10
11
01
01
11
00
00
00
10
10
10
00
01
01
01
10
11
10
10
10
10
01
01
00
10
10
01
11
00
11
01
01
10
00
11
11
00
00
10
10
10
10
00
11
10
00
00
00
10
10
00
01
10
00
01
00
10
11
01
11
01
01
10
01
00
10
00
01
11
11
11
01
00
10
10
10
11
00
10
10
00
01
00
11
01
01
00
10
11
00
00
00
10
10
11
00
00
10
10
00
10
11
11
00
00
10
01
10
10
00
00
00
00
01
11
11
01
11
10
00
10
00
00
10
10
01
10
00
01
10
11
11
01
10
00
11
01
01
00
00
10
00
11
10
00
01
01
10
10
00
11
00
10
10
00
10
01
00
10
10
10
00
01
00
10
01
01
11
11
00
00
01
11
00
01
10
10
10
11
11
00
00
00
10
11
11
01
00
10
01
00
10
01
10
11
00
00
10
00
10
01
11
01
10
10
11
11
10
01
00
00
01
10
11
01
11
10
10
00
10
10
00
00
00
00
11
00
00
00
10
00
10
00
00
10
00
00
10
00
11
10
11
11
10
10
00
00
11
10
01
01
00
01
10
00
10
10
00
10
01
00
11
11
10
00
01
10
10
11
00
00
10
10
10
00
00
11
10
10
10
00
00
11
00
00
01
10
10
01
00
10
10
00
00
01
11
10
11
00
00
00
00
10
10
01
00
10
10
01
01
10
10
10
00
00
00
00
00
10
10
10
10
00
10
01
00
00
00
10
01
00
10
01
10
10
11
01
00
01
10
10
11
00
10
11
00
10
01
11
11
00
10
00
00
11
00
11
00
10
11
01
10
11
00
01
10
00
10
10
01
00
10
11
11
00
00
10
00
10
11
00
11
10
00
00
11
01
01
10
10
11
00
00
10
11
00
10
11
10
11
01
00
00
00
00
00
10
11
10
10
00
01
01
11
01
00
00
10
10
10
00
00
11
11
00
01
11
01
10
10
00
10
00
01
10
10
01
01
10
10
11
10
10
00
10
00
00
11
00
01
10
10
00
11
10
11
11
11
10
00
10
01
00
01
10
00
11
10
01
01
01
10
01
10
00
00
00
11
00
11
00
00
00
00
00
10
10
00
00
10
10
11
10
00
00
10
10
00
00
11
00
00
10
10
11
10
00
00
01
10
10
00
01
10
01
00
10
10
10
00
11
11
11
01
00
01
01
10
10
10
01
01
10
11
00
00
01
00
11
10
00
11
00
10
10
01
00
10
11
00
00
10
11
00
11
10
00
10
01
10
10
11
01
10
00
10
00
00
10
11
11
00
00
01
11
01
10
10
00
10
11
01
10
10
10
00
00
10
10
00
11
10
11
00
00
10
11
00
10
00
01
10
10
00
10
00
00
00
10
11
00
00
00
10
01
10
01
01
10
11
01
10
00
01
11
00
10
10
01
11
10
00
00
11
11
11
10
01
00
10
10
00
01
11
10
00
10
00
00
00
01
11
01
00
10
10
00
01
00
11
00
01
10
01
00
10
10
01
00
11
01
01
00
10
10
10
10
00
01
00
10
00
10
00
10
00
01
11
10
11
01
00
00
10
10
10
10
01
11
10
01
11
10
10
10
00
10
00
00
00
00
11
10
11
10
01
10
10
01
10
00
00
00
10
10
00
10
11
00
10
01
00
00
00
10
00
01
00
11
00
10
00
00
10
10
10
00
11
10
01
01
11
10
01
00
01
10
10
01
10
01
00
10
10
01
00
11
10
10
10
10
00
11
00
00
10
11
10
10
10
01
00
01
01
10
10
00
00
10
10
00
11
10
10
00
01
01
10
11
10
01
01
00
01
10
00
10
10
00
00
10
10
01
11
11
01
10
00
11
01
00
01
10
11
11
01
01
00
00
10
01
10
00
00
00
00
00
10
10
01
11
00
00
10
00
10
00
00
00
10
00
11
10
10
01
00
00
00
10
01
00
00
11
00
00
01
11
10
00
00
10
11
00
00
10
10
00
10
10
00
11
10
10
00
01
00
01
01
11
10
10
11
10
10
00
01
11
10
10
00
01
10
00
01
11
10
00
11
10
01
00
10
10
00
10
00
11
10
00
10
10
01
00
11
01
00
11
01
01
11
10
10
00
00
10
10
00
00
10
10
11
01
10
00
10
11
01
11
11
01
10
00
01
10
10
10
00
00
10
10
00
01
10
10
01
10
10
00
00
11
10
00
00
11
10
00
10
00
10
10
11
10
01
00
00
10
10
10
11
00
00
01
00
00
01
11
10
00
10
00
00
00
11
00
01
00
11
11
01
10
11
01
00
10
10
01
10
11
00
10
10
01
00
00
01
11
11
00
00
10
10
00
10
10
01
10
00
01
00
01
00
00
10
01
00
00
00
10
01
01
11
10
00
10
11
01
10
01
10
10
01
11
10
11
00
01
10
11
00
00
11
10
00
00
10
10
00
00
11
11
00
10
01
11
10
11
00
10
00
00
00
10
10
00
00
11
01
11
01
01
11
11
10
11
00
00
10
00
10
11
00
01
00
01
10
10
00
00
01
10
10
10
00
00
10
10
10
01
00
00
11
11
00
11
10
11
10
10
00
11
01
00
00
11
10
10
01
00
10
10
00
00
10
10
00
11
10
00
00
00
11
00
00
11
11
01
00
00
00
00
10
11
00
10
10
10
00
01
00
01
10
11
10
10
10
01
10
11
10
11
01
00
11
11
01
01
00
01
10
11
00
00
10
10
10
00
00
10
00
00
10
00
10
10
00
00
00
10
11
10
00
01
10
00
01
10
00
10
10
11
00
01
00
01
01
10
10
00
10
01
01
10
11
10
00
00
10
11
01
00
10
01
00
00
01
10
10
10
00
01
01
10
00
00
01
11
10
00
11
00
00
00
00
10
10
10
10
00
01
00
01
01
10
11
10
00
11
00
10
11
11
01
00
01
11
10
11
10
00
00
10
11
00
10
10
11
00
00
10
00
10
00
00
11
11
00
00
10
11
01
01
01
10
10
00
10
10
01
00
10
11
10
01
11
01
11
00
11
01
11
00
00
10
00
00
10
10
01
00
10
01
00
00
10
10
11
01
10
10
10
01
01
10
00
10
11
01
00
11
00
00
10
00
11
11
00
00
11
01
00
10
10
10
10
11
00
00
00
00
10
00
00
01
00
10
10
00
00
10
00
01
10
10
10
10
10
01
00
11
10
10
00
00
00
11
11
00
10
00
00
11
10
10
11
00
10
11
01
00
01
01
10
10
00
10
00
11
10
00
01
00
01
01
00
00
01
10
10
10
01
10
10
00
00
10
01
10
10
00
10
00
10
00
11
00
10
10
00
01
00
00
10
01
11
10
10
00
10
10
11
01
00
11
00
10
00
00
01
10
11
00
11
11
10
01
11
00
01
00
11
01
01
11
00
00
11
11
00
11
00
00
00
10
11
00
01
10
10
00
10
00
11
11
00
00
10
00
00
10
11
00
00
10
11
11
00
00
11
11
00
10
00
10
11
11
10
01
11
00
01
00
10
11
00
00
01
10
11
01
00
10
00
10
00
01
11
10
11
10
10
10
00
10
11
10
10
10
01
10
10
00
10
10
10
00
00
11
10
10
11
10
01
11
10
01
00
11
10
11
00
00
00
10
11
01
00
00
11
00
10
11
00
10
10
10
10
10
00
10
11
01
00
00
11
10
01
01
11
00
00
00
10
00
00
01
11
10
00
10
10
10
00
00
11
01
10
00
01
10
00
00
00
11
00
00
10
11
01
11
01
01
10
10
00
10
00
00
10
10
00
00
10
01
10
10
10
10
10
11
11
00
11
10
10
00
00
10
01
10
11
10
00
01
01
00
00
01
00
10
10
10
11
00
01
01
00
10
00
00
00
00
10
10
10
00
00
01
10
00
01
00
10
10
10
01
00
00
10
01
10
10
01
00
10
00
00
10
00
10
01
10
00
01
01
01
00
00
11
10
01
00
11
11
01
01
10
10
00
10
10
00
11
10
00
00
00
10
00
10
10
11
00
11
11
11
10
00
01
00
01
01
10
11
10
10
00
00
11
01
01
10
00
00
11
10
01
01
10
10
10
10
00
00
10
10
10
01
01
10
01
10
01
10
10
00
10
10
00
00
01
00
01
10
11
10
00
10
10
00
11
11
11
01
01
10
01
00
01
11
10
00
10
10
01
10
10
11
10
00
11
10
01
10
10
00
11
11
00
10
10
01
10
00
11
00
00
00
10
10
01
00
00
01
11
10
10
11
10
10
11
01
01
10
11
10
10
00
10
00
00
00
10
10
10
00
00
11
10
11
11
01
01
00
00
00
11
10
01
10
10
10
01
00
10
00
10
11
00
10
10
10
10
10
10
01
11
00
00
00
00
00
11
10
10
01
00
00
10
01
00
00
11
11
00
11
11
01
01
10
11
10
00
01
00
00
00
10
10
11
00
00
00
00
10
00
11
00
10
11
10
11
11
00
01
10
11
00
10
11
00
00
10
10
00
00
11
00
00
10
11
10
01
00
00
00
01
00
00
10
11
10
11
10
00
10
10
00
10
00
10
10
11
00
10
11
00
01
11
10
10
00
00
10
10
01
00
00
10
00
10
00
10
11
11
01
10
11
11
00
10
10
01
00
10
01
11
01
10
00
11
10
11
01
00
00
10
11
00
01
00
10
10
10
11
00
00
10
01
11
01
00
10
00
00
11
11
00
01
10
00
00
10
10
01
10
10
00
10
00
00
11
10
10
11
10
10
10
00
00
00
00
11
00
10
10
10
00
00
10
11
00
01
10
00
00
11
01
11
00
00
11
10
10
00
00
10
01
00
00
10
01
01
10
11
10
10
10
00
00
10
00
11
10
00
00
11
00
00
00
11
10
00
01
01
11
00
10
11
10
00
00
00
11
01
01
11
00
00
10
00
11
01
01
10
00
10
10
10
00
01
11
00
01
10
00
01
10
11
00
10
10
01
11
10
11
00
11
01
01
10
00
01
11
11
01
00
10
00
01
10
00
01
00
10
10
01
10
11
00
10
10
11
00
01
00
10
00
10
10
00
11
11
10
10
11
01
10
00
10
11
00
11
10
00
10
10
10
00
10
10
10
10
00
10
10
00
01
00
01
00
00
11
11
01
10
00
01
10
11
10
01
01
10
00
11
10
00
00
11
00
01
01
11
00
00
00
10
11
00
11
10
10
00
10
00
10
11
01
01
00
10
00
10
10
10
01
01
11
01
00
00
11
00
10
10
00
01
10
10
01
00
00
01
11
10
10
10
00
00
10
11
00
00
00
10
01
11
01
10
00
00
11
10
11
11
10
00
10
00
01
10
10
00
01
00
10
00
00
01
11
00
10
10
01
11
01
11
10
00
00
11
00
00
10
00
00
10
10
10
00
10
00
00
10
01
00
00
11
11
00
10
00
10
01
00
00
11
01
10
01
00
10
10
00
01
10
10
01
00
00
00
01
11
00
00
00
01
11
01
11
10
10
01
11
00
01
10
00
00
11
00
01
01
11
10
00
10
00
00
10
00
11
10
01
10
01
00
11
10
00
11
10
01
00
00
10
01
10
10
11
00
11
10
10
10
00
00
00
00
11
10
11
11
11
00
10
00
00
10
10
11
01
01
01
10
01
11
10
01
10
10
10
10
00
11
00
00
10
10
00
01
11
10
01
11
00
10
01
01
11
00
10
11
00
10
10
11
00
00
10
00
00
00
00
10
10
01
00
10
10
01
10
01
00
01
11
10
10
00
00
10
11
01
01
00
00
11
11
10
10
10
00
01
00
10
01
00
01
10
00
01
00
01
10
11
00
01
00
11
10
10
10
00
10
10
11
00
11
00
00
10
10
11
00
00
11
10
01
00
11
10
10
11
10
11
01
00
10
01
10
00
00
10
00
00
11
00
01
10
10
10
10
11
01
10
11
10
01
01
11
00
10
10
01
11
10
10
10
01
10
00
01
11
00
11
00
10
00
10
11
00
00
10
11
00
11
00
10
10
01
00
10
10
11
10
00
00
00
11
00
10
10
01
01
00
01
10
10
00
10
00
01
00
10
11
00
00
10
10
00
10
11
01
11
10
11
01
10
10
01
11
00
00
00
00
10
10
11
01
10
00
10
00
00
10
00
10
01
00
01
10
11
00
01
00
00
00
10
11
00
00
11
01
00
10
01
10
10
00
10
00
00
10
10
10
00
10
00
01
01
10
00
01
01
11
10
01
11
10
00
10
10
00
11
10
10
10
00
10
00
00
11
11
00
00
00
10
00
00
01
10
01
01
11
11
01
01
00
00
10
10
00
00
00
11
10
01
00
10
10
00
00
00
00
11
00
01
10
10
00
10
11
10
00
01
00
01
10
00
00
11
11
00
10
10
10
10
10
11
00
00
00
01
01
01
00
11
11
10
10
00
10
00
01
11
00
01
00
01
01
01
10
10
10
01
00
00
11
11
00
01
10
00
10
00
00
11
10
01
01
01
10
10
01
01
10
10
10
00
11
00
01
10
11
00
10
10
11
00
01
00
10
10
00
00
10
11
01
11
10
00
00
10
10
01
10
10
00
11
10
01
00
00
00
00
11
10
10
00
10
10
00
00
00
11
00
00
11
10
00
10
10
00
00
00
00
00
11
01
00
11
00
10
10
11
01
01
10
10
00
10
00
00
10
10
00
10
01
11
11
01
10
11
00
00
11
00
00
10
11
01
11
11
00
00
10
01
01
11
00
00
01
00
11
11
11
10
10
01
01
10
00
11
10
00
10
10
01
00
10
00
11
00
00
11
11
00
11
10
00
10
10
10
00
10
00
10
10
00
10
00
00
11
11
00
00
11
00
00
00
10
00
00
01
00
10
01
00
00
00
10
11
00
00
00
01
00
10
10
10
00
00
00
10
01
01
01
10
00
10
01
10
00
10
10
01
00
11
00
10
11
01
11
00
01
10
01
10
10
10
00
01
10
10
00
10
11
11
11
00
01
01
00
11
10
10
00
11
00
11
10
01
00
01
00
10
10
01
10
10
01
10
11
00
00
10
01
10
11
10
01
11
00
10
00
00
00
00
11
10
10
00
00
00
10
10
00
10
10
00
10
00
10
10
10
00
00
10
00
10
11
00
01
10
10
00
00
10
10
01
01
00
10
11
00
11
11
10
00
00
11
11
11
00
10
10
11
11
10
10
00
00
00
00
11
01
11
01
01
10
10
00
10
00
00
10
10
10
01
10
01
11
01
10
01
10
10
10
00
00
11
11
00
00
00
01
10
10
00
10
10
00
00
00
01
11
00
00
00
00
10
10
00
11
10
01
10
00
00
00
00
11
10
00
00
10
01
10
11
00
01
11
00
11
11
00
10
10
00
10
00
00
00
10
10
00
10
00
00
00
10
00
00
10
11
11
00
10
10
10
10
00
00
00
10
00
10
00
01
00
00
10
11
00
11
11
10
00
00
11
11
00
00
10
11
00
01
11
00
00
00
10
10
11
00
00
10
10
01
00
11
00
00
00
10
10
01
00
11
11
11
11
10
11
00
01
11
10
00
10
10
11
10
01
00
11
01
00
11
11
00
01
10
00
10
00
00
10
00
00
10
01
10
10
11
01
00
00
00
01
10
11
00
00
10
11
10
00
11
10
10
00
10
11
00
00
10
01
00
11
10
01
10
01
10
11
00
00
11
01
01
11
10
00
11
00
11
00
00
10
10
11
10
01
01
01
00
11
11
00
10
11
10
00
11
11
01
01
10
00
00
10
10
01
01
10
11
00
00
01
01
01
00
11
10
11
00
11
10
01
10
11
10
10
01
00
11
01
10
10
01
00
10
00
01
10
01
00
10
10
00
00
00
10
11
01
10
00
00
10
11
10
00
00
01
00
01
11
00
00
11
11
11
00
10
11
01
10
10
00
00
00
01
10
11
10
10
00
00
00
01
10
10
00
10
10
00
10
10
01
00
10
10
11
10
00
00
10
10
01
00
01
01
00
00
11
00
10
11
00
11
11
00
10
00
00
00
00
10
01
10
10
00
00
11
10
10
00
00
10
00
10
00
10
10
00
10
00
10
00
00
00
01
00
10
11
01
00
00
10
11
00
01
01
11
10
11
10
00
00
10
10
00
00
11
01
11
01
10
00
00
10
00
01
11
10
00
00
11
10
10
10
00
01
11
00
00
11
10
11
01
10
00
00
10
10
00
00
00
10
10
00
01
11
00
11
10
00
10
01
00
10
10
00
10
00
01
11
00
01
11
00
01
00
11
11
10
00
00
00
00
11
10
00
10
00
11
01
11
11
00
00
10
10
10
00
00
10
11
01
11
10
10
00
10
00
00
10
10
00
11
01
00
11
01
00
11
10
11
00
11
10
11
10
00
00
00
11
10
01
11
10
10
00
10
01
00
01
01
10
00
00
10
11
11
00
10
10
10
11
11
01
01
00
01
10
00
10
01
11
10
00
01
00
10
11
10
01
10
10
01
10
11
00
11
00
10
10
00
11
10
10
00
00
01
11
00
01
00
10
10
10
00
10
01
10
00
00
00
00
01
01
01
10
10
00
11
00
01
11
10
11
10
10
00
10
00
11
00
10
10
10
00
01
00
01
01
01
01
11
10
01
01
11
00
10
10
00
10
11
10
11
00
11
00
00
10
01
01
10
01
10
00
10
01
00
00
00
10
11
00
00
10
10
00
00
11
10
01
01
00
10
10
01
01
00
10
11
11
11
00
01
00
10
10
01
10
00
01
10
11
10
01
10
10
11
11
01
00
00
00
00
11
00
00
10
10
01
00
00
10
10
00
00
10
10
00
00
10
00
00
11
10
11
11
10
10
01
01
10
01
00
00
00
00
00
10
10
00
00
00
10
01
11
01
10
00
10
01
10
10
01
10
00
01
01
00
10
10
01
00
10
01
00
11
00
10
10
00
00
10
00
00
01
00
11
10
10
00
01
10
10
00
01
00
10
00
00
00
10
10
00
01
10
10
10
10
10
00
10
10
10
10
10
10
10
00
10
00
00
00
11
10
10
01
00
00
00
10
11
10
10
10
01
01
11
00
01
00
11
10
10
10
01
00
00
10
11
01
11
00
01
10
00
01
00
10
10
01
01
00
00
00
10
10
00
11
01
10
10
10
11
01
01
11
10
00
00
00
11
01
00
11
10
00
00
00
01
00
00
10
10
10
01
10
11
10
00
00
10
10
00
01
01
00
01
10
10
10
10
10
10
10
00
10
10
00
11
10
10
10
10
00
01
01
01
00
01
10
10
11
10
10
10
01
00
01
10
00
00
01
11
01
11
10
01
01
00
10
00
00
10
00
00
10
10
00
01
11
10
00
10
00
11
00
11
10
01
00
00
11
11
01
00
00
10
00
10
11
00
10
11
10
10
00
10
11
10
01
10
00
00
10
00
00
00
00
10
00
10
01
00
00
00
01
00
00
11
00
10
11
00
00
11
10
10
01
01
11
01
00
00
01
00
01
10
00
01
10
00
10
01
01
10
11
10
00
10
10
01
01
10
11
00
10
10
11
10
01
11
00
01
11
11
01
01
10
00
00
10
00
01
11
10
00
10
11
10
00
10
11
01
00
11
00
00
01
11
10
00
10
00
01
00
11
10
00
00
10
01
00
00
01
00
00
10
01
11
10
00
01
00
01
10
10
01
10
10
01
10
01
01
00
11
00
00
00
10
10
00
01
11
00
10
10
01
10
11
00
00
01
10
10
10
00
11
00
11
01
00
00
00
01
00
00
10
10
10
10
00
10
00
10
00
11
01
00
01
10
01
10
00
11
11
11
11
01
00
10
11
00
00
11
01
00
10
10
11
00
00
00
10
11
00
10
00
01
00
01
01
10
10
01
00
10
10
01
00
10
10
00
10
11
10
00
10
10
10
10
10
00
01
10
11
10
01
10
11
11
10
00
10
01
00
00
10
10
00
00
00
01
01
10
00
00
01
11
10
11
00
00
10
00
00
10
11
00
01
00
00
10
01
00
11
10
11
01
00
00
10
11
01
00
11
10
00
00
00
01
11
10
10
01
00
00
10
00
01
11
11
10
00
10
00
11
00
10
10
00
01
00
11
01
01
10
00
00
00
00
10
10
11
00
11
10
10
00
00
11
10
10
10
01
01
00
10
10
10
11
01
01
00
00
10
00
11
10
00
10
10
00
00
00
10
00
00
10
11
11
01
11
10
10
01
11
10
01
01
10
00
00
00
01
01
10
11
00
10
00
11
11
01
00
10
10
11
00
01
00
10
10
01
00
11
01
10
00
01
11
10
11
10
10
10
11
10
01
00
00
00
01
00
10
10
01
01
10
10
01
10
10
10
00
11
01
11
01
10
00
10
00
00
11
10
00
00
10
11
10
01
01
11
11
10
00
01
11
10
01
10
00
00
11
10
01
01
01
01
11
00
10
00
11
10
01
00
10
00
10
11
00
10
11
11
00
00
01
01
10
10
01
00
10
10
10
10
10
11
00
10
10
11
00
00
10
10
10
00
01
00
10
11
01
00
00
01
00
10
00
11
11
11
00
00
11
01
10
00
11
01
11
00
00
11
10
00
10
00
10
00
00
10
10
00
01
00
10
11
10
11
10
10
00
00
10
10
00
01
00
00
00
10
11
01
10
10
01
00
11
00
11
00
00
10
10
10
00
00
00
11
11
00
00
00
00
10
00
10
10
00
10
00
01
11
11
10
10
01
01
10
01
11
11
01
00
10
11
11
00
01
00
11
11
00
00
10
00
00
10
10
01
11
11
00
00
00
00
00
10
10
10
10
00
10
10
10
10
00
00
11
00
11
00
10
10
10
11
00
01
00
10
10
00
10
10
11
00
10
10
00
00
10
00
00
00
00
01
01
00
11
10
01
11
11
00
11
00
00
10
10
00
01
10
11
00
01
01
01
01
00
10
10
01
10
11
00
00
00
10
10
00
00
00
10
10
00
01
10
01
00
00
01
10
10
10
10
10
00
00
10
11
00
00
10
00
00
01
10
10
10
00
10
10
00
00
11
10
10
01
00
11
00
11
00
11
11
00
11
10
00
00
11
10
00
00
10
00
00
11
01
00
10
00
10
10
00
10
10
10
10
00
01
00
01
11
10
10
01
10
10
10
00
10
11
10
00
01
11
01
10
00
00
10
10
10
10
01
00
01
01
00
00
10
11
10
11
00
11
00
01
11
01
00
11
11
01
01
10
10
00
11
00
01
10
10
10
00
01
00
10
11
00
01
01
10
00
00
10
10
11
00
10
01
00
00
01
10
10
00
00
10
11
11
01
11
01
00
00
11
00
00
10
00
10
01
00
11
00
00
11
11
00
00
00
10
10
00
11
10
01
00
00
10
11
10
00
00
11
10
11
11
10
10
00
10
10
10
01
00
11
01
00
00
00
00
11
10
01
00
10
10
11
10
10
00
01
00
10
10
00
01
00
01
10
10
00
00
10
11
11
01
00
00
10
00
00
10
00
10
00
00
00
11
00
10
01
00
00
01
00
10
00
00
10
10
00
01
00
10
00
00
00
00
10
00
10
00
11
10
00
11
11
01
10
00
01
11
00
00
10
11
10
00
00
01
00
11
11
01
00
10
00
01
10
11
10
10
00
11
00
01
01
10
11
01
01
00
01
10
10
01
01
10
11
10
01
10
01
10
10
00
00
00
10
11
10
01
10
10
01
00
11
10
11
01
11
10
00
00
10
01
00
10
10
10
00
00
00
10
11
11
01
00
00
00
10
00
00
10
10
11
00
01
11
01
00
00
00
00
10
10
00
00
00
11
00
01
10
00
01
00
01
01
01
00
00
10
10
00
00
00
10
10
00
10
01
10
10
10
01
00
10
10
00
11
10
00
00
10
11
11
00
00
01
10
10
01
11
00
01
10
01
01
10
10
00
00
10
10
00
11
00
00
00
10
01
11
10
00
01
00
00
11
01
00
00
01
01
10
00
10
10
00
11
01
01
10
10
10
11
10
01
01
10
11
10
00
11
01
00
10
10
10
10
10
00
10
10
00
00
10
10
00
10
01
00
11
11
00
11
10
11
10
01
10
10
11
01
00
01
10
11
10
11
10
00
00
11
11
00
00
00
00
10
00
10
00
00
10
11
10
10
11
10
01
11
10
10
10
00
01
00
01
10
11
01
00
00
00
11
00
00
10
00
00
10
01
01
10
10
10
00
11
10
01
10
10
10
10
01
01
01
10
10
00
11
00
11
10
10
00
00
00
11
00
00
01
00
10
01
01
10
10
01
10
11
00
00
00
01
01
10
10
00
01
00
11
10
10
11
00
00
00
10
01
11
00
00
10
10
00
10
00
00
10
10
00
01
01
10
00
00
10
11
00
10
01
01
10
10
11
10
11
01
10
10
10
10
11
00
00
10
11
10
10
10
00
10
01
00
00
10
10
10
00
11
10
01
10
10
10
11
00
00
11
10
10
11
00
00
11
10
01
01
10
00
00
01
10
00
01
10
10
00
11
00
00
10
11
00
00
00
10
10
00
10
11
00
01
00
01
00
00
10
10
11
00
01
10
10
10
10
10
01
00
10
00
00
00
10
10
10
00
00
00
00
00
11
01
11
11
00
00
10
10
00
10
00
00
10
10
10
10
00
00
00
01
00
11
10
10
11
10
00
11
11
01
00
10
00
00
00
11
00
01
00
11
00
11
10
01
11
01
00
11
01
00
10
11
00
10
00
00
01
10
01
10
00
10
10
00
01
00
10
00
00
11
11
11
00
11
11
10
00
10
01
01
10
10
11
01
00
11
00
01
10
00
00
11
00
10
00
00
00
11
10
10
10
11
01
11
10
01
00
00
10
10
00
01
01
10
00
00
10
10
11
11
00
10
10
10
01
01
00
00
11
10
01
01
10
10
10
00
10
01
00
10
01
11
10
01
10
00
11
10
01
10
11
00
00
10
11
10
00
10
10
11
11
00
00
10
10
00
01
00
11
10
00
00
00
00
10
00
10
10
01
10
01
00
10
00
11
10
01
10
10
10
01
10
10
00
10
10
01
10
00
10
00
00
10
10
00
11
10
11
10
11
01
00
00
10
10
11
01
01
01
00
11
11
10
00
00
11
11
10
10
10
00
10
10
00
00
11
00
11
10
10
01
11
10
00
00
10
11
00
00
00
00
11
10
00
00
10
11
00
10
10
00
00
11
01
01
10
10
00
00
00
10
10
00
10
01
00
00
10
10
10
11
00
00
10
00
10
10
01
10
01
00
10
00
10
00
10
11
11
00
00
01
00
00
11
10
01
01
10
00
10
10
10
00
01
10
10
00
00
00
10
10
00
00
11
11
00
00
00
10
10
00
00
10
11
01
00
10
10
01
01
01
00
10
00
10
01
00
10
10
10
10
00
11
10
00
01
00
01
00
01
00
10
01
00
11
00
00
10
11
11
10
00
00
11
10
11
10
01
00
00
10
11
10
11
00
10
01
00
00
00
10
10
11
10
00
00
11
10
01
01
10
00
00
00
11
10
01
01
10
11
10
10
00
10
10
01
10
10
10
00
01
11
01
00
01
10
10
00
00
11
10
11
00
00
10
00
11
00
11
10
11
11
11
00
11
00
00
10
11
10
01
01
11
00
10
10
11
10
00
00
00
00
10
00
00
01
00
01
10
01
11
01
00
11
00
00
10
10
00
01
11
11
01
11
00
01
01
10
01
01
10
10
10
10
00
00
11
00
11
00
11
11
10
10
11
00
10
00
01
11
10
01
00
00
10
00
10
10
01
01
10
00
01
10
11
01
00
00
11
10
00
00
11
01
10
10
01
11
11
01
00
01
10
10
10
10
01
00
00
10
00
00
00
10
10
00
01
00
00
11
11
10
01
10
10
10
00
00
10
10
00
10
11
10
10
00
00
10
00
00
10
11
11
01
11
11
11
10
11
00
01
10
10
00
00
10
10
10
10
00
01
10
01
01
00
00
10
00
01
10
10
00
00
10
00
10
00
01
10
00
10
10
10
10
01
00
11
00
11
10
00
10
00
10
11
11
00
01
00
00
00
01
10
00
10
11
10
10
10
10
10
10
01
00
10
10
00
00
01
00
10
10
01
00
11
00
00
01
00
00
00
10
10
00
00
11
10
01
00
11
10
01
00
01
01
10
00
10
10
10
01
01
10
01
10
10
10
00
00
01
10
11
10
01
00
10
00
10
01
10
10
00
00
00
00
00
10
00
00
10
10
01
01
10
00
10
10
11
10
00
11
11
01
11
11
10
00
10
10
11
01
01
10
01
00
11
01
11
00
11
00
00
00
11
11
10
10
01
00
00
10
10
00
00
11
11
11
11
10
11
11
10
01
00
10
10
10
01
01
01
10
10
00
01
01
11
00
01
00
00
01
11
11
01
10
10
00
00
00
00
10
10
01
00
00
10
00
01
10
10
00
00
10
00
11
10
10
10
11
00
00
10
10
10
00
10
01
00
10
01
01
00
11
10
11
00
00
10
10
00
00
01
01
00
10
10
10
00
01
00
00
10
00
11
00
00
10
11
11
11
00
00
00
00
01
00
10
10
00
01
00
00
10
10
00
01
11
01
00
11
00
10
00
11
00
00
11
00
11
10
11
11
10
00
11
11
00
01
10
10
11
01
00
11
11
00
00
10
10
00
11
10
01
00
10
00
10
10
01
10
10
01
10
11
11
11
01
11
10
00
11
11
00
01
00
11
00
00
10
00
00
10
10
01
00
10
00
10
10
00
10
00
11
11
11
11
00
10
11
10
01
10
10
00
10
10
10
00
00
10
10
10
11
00
10
00
11
10
01
10
10
10
00
00
11
11
10
00
00
00
00
10
10
00
01
00
00
10
10
01
10
11
00
01
01
01
01
00
10
10
01
00
10
10
10
01
10
10
00
00
00
10
00
00
10
00
11
11
00
01
11
10
11
11
01
00
11
10
11
00
01
11
10
00
00
10
10
01
00
01
01
10
11
11
11
00
11
10
01
10
11
11
00
10
11
10
01
10
10
10
00
10
10
10
01
01
11
11
00
01
11
00
10
10
00
01
11
00
00
10
10
10
00
10
00
00
10
10
10
00
01
00
10
10
10
10
00
10
00
10
11
01
01
11
11
00
11
10
10
00
10
10
01
00
00
11
11
10
00
01
10
10
11
00
00
00
00
11
10
00
01
10
10
10
00
10
10
11
10
10
10
00
10
01
01
00
10
11
00
01
11
00
00
00
10
10
00
01
00
11
11
11
10
01
00
00
11
10
00
10
10
10
01
00
11
10
00
11
11
01
00
00
00
00
00
10
10
01
10
11
10
01
00
00
00
11
10
00
10
00
00
10
10
10
00
00
10
10
00
10
10
00
11
10
00
11
01
10
11
00
00
01
10
10
10
10
10
11
00
00
00
01
01
10
00
10
10
10
00
00
10
10
10
11
10
00
11
10
00
10
10
00
10
11
00
11
10
00
01
10
10
11
00
01
00
01
11
01
01
11
11
10
10
00
10
10
01
01
11
00
11
11
10
11
01
10
10
10
00
01
01
00
00
10
10
01
10
11
10
10
10
11
00
00
00
10
10
00
01
00
10
10
10
01
01
00
00
10
11
00
10
00
10
10
01
00
10
11
10
11
00
00
01
00
11
00
10
10
00
10
11
00
10
10
11
11
00
01
00
10
11
00
11
10
10
00
01
11
01
00
10
00
11
10
00
00
01
10
00
00
11
00
10
01
00
11
11
11
00
00
11
00
11
10
10
00
10
10
00
10
00
10
11
11
00
10
00
10
00
00
11
11
11
10
00
00
11
00
00
01
10
10
00
11
00
10
00
00
10
10
10
00
00
10
00
11
10
00
01
11
01
11
00
10
01
00
01
00
10
10
00
10
10
00
01
10
10
00
00
00
00
10
00
00
01
10
11
00
10
10
10
01
11
10
01
10
00
00
00
10
10
10
10
00
11
11
01
00
01
11
10
01
10
00
11
01
00
10
10
01
10
00
10
00
00
01
10
00
10
10
10
01
00
10
10
00
00
01
10
10
10
11
10
00
01
00
10
00
00
10
11
01
00
10
10
01
10
10
10
10
00
01
10
01
10
01
10
10
00
00
01
00
10
10
00
11
10
11
10
01
01
10
11
01
00
10
00
11
10
00
11
10
00
00
11
00
10
00
00
00
10
11
01
11
01
00
00
10
10
00
00
00
11
10
01
01
00
10
10
10
11
10
00
01
00
01
10
11
10
00
11
10
00
00
00
00
10
10
00
10
10
11
00
00
00
01
00
10
10
00
10
01
01
11
11
10
10
00
01
11
11
00
01
10
10
10
01
10
11
10
01
01
01
00
10
10
00
00
11
10
00
10
10
11
01
11
01
00
10
00
01
00
10
11
00
00
10
00
00
01
01
00
01
00
00
11
00
01
10
10
00
11
11
00
00
00
01
10
00
10
10
11
11
10
00
01
10
00
10
10
11
11
01
10
10
01
00
00
01
11
00
00
10
00
10
10
11
00
10
10
00
10
11
01
11
11
00
01
10
01
10
00
01
10
10
10
11
01
01
10
01
10
10
11
10
00
00
11
11
11
00
10
00
00
10
00
11
10
00
01
00
11
01
11
10
00
11
01
00
00
01
10
11
00
00
11
01
10
11
10
00
00
01
01
10
10
01
11
10
01
10
00
00
00
00
10
00
00
00
00
10
10
00
11
11
11
10
11
10
00
00
10
10
00
00
10
00
10
00
11
00
00
11
00
10
10
10
10
00
00
11
11
00
01
10
01
00
11
01
10
10
00
00
10
00
10
00
11
10
00
10
00
10
10
00
01
11
10
00
00
00
10
01
10
10
01
00
00
11
01
00
01
10
10
11
00
11
10
01
10
10
00
01
00
10
00
01
01
00
01
10
00
01
10
11
01
00
11
10
01
11
10
00
01
10
10
11
01
11
11
11
00
01
00
10
00
00
10
01
00
10
10
00
00
10
01
10
10
00
00
00
00
10
11
00
00
01
10
00
00
10
00
10
10
10
10
00
01
00
10
10
11
11
01
00
10
10
00
10
10
11
00
10
11
10
00
00
01
10
10
01
11
00
01
00
10
10
00
00
10
10
00
00
10
10
10
00
10
10
00
10
10
00
01
00
01
10
01
00
01
11
00
01
10
10
10
01
00
00
10
10
10
11
00
10
11
01
00
00
00
10
00
10
11
00
00
11
00
10
00
10
10
01
01
10
10
00
10
10
01
00
11
00
00
11
10
00
00
10
10
11
01
10
11
01
01
10
10
00
00
10
11
01
00
00
01
10
11
11
01
10
10
11
01
10
10
00
00
10
00
00
01
01
10
11
00
00
00
10
10
10
10
00
01
11
01
10
10
00
10
10
10
01
00
01
00
01
01
00
10
10
10
01
10
00
01
11
00
00
01
00
00
10
11
10
00
10
10
10
00
00
11
11
00
00
00
00
11
01
10
11
10
10
10
10
01
10
11
00
01
10
10
00
01
10
10
10
10
00
00
10
01
00
10
10
10
10
11
10
00
00
00
10
11
10
11
00
10
10
00
00
00
00
11
00
01
00
11
10
01
10
00
10
10
10
00
00
10
10
10
11
10
10
10
00
00
01
10
00
00
00
00
01
11
10
10
10
01
11
00
00
01
00
01
00
10
10
00
00
00
00
10
10
10
01
11
00
01
11
10
11
00
00
10
10
00
10
00
01
10
11
11
01
11
10
01
00
00
10
10
10
11
10
00
10
10
10
10
00
00
10
00
10
01
01
00
10
01
10
01
11
00
10
10
00
01
00
11
11
00
10
00
00
00
10
11
01
01
00
10
00
01
00
00
11
11
11
01
01
00
01
10
00
10
10
01
00
11
00
11
00
11
00
00
01
10
01
00
00
10
00
00
10
00
10
00
00
00
10
10
00
11
11
00
10
10
00
01
10
10
00
00
00
11
10
01
10
01
01
00
01
00
10
10
00
00
10
11
01
11
10
00
01
01
10
01
01
10
00
00
00
00
01
00
10
00
11
00
11
10
10
11
10
01
10
10
00
10
10
01
00
01
00
00
11
01
00
10
11
10
01
10
00
01
00
00
00
01
10
00
00
10
01
10
01
10
11
00
10
11
00
11
10
10
01
00
10
00
00
10
11
10
00
00
10
10
01
00
10
00
00
10
00
00
10
00
01
10
00
10
11
10
11
00
00
00
11
10
00
00
10
10
10
00
01
01
00
10
00
11
10
01
10
01
11
10
00
00
11
00
10
10
01
10
10
11
11
11
10
00
01
10
01
01
01
11
10
01
00
00
10
00
01
10
00
01
00
10
00
10
01
10
01
11
00
10
00
01
10
10
01
01
00
10
10
10
00
01
00
00
10
01
10
01
00
10
11
10
10
01
00
10
01
01
10
01
00
11
10
01
00
00
10
10
01
00
10
10
10
00
00
11
10
00
00
11
10
00
00
10
11
00
00
01
00
10
00
10
01
00
00
10
10
01
01
01
10
01
11
11
00
10
00
00
10
10
11
00
00
11
00
11
00
10
11
10
00
00
10
10
11
00
01
00
10
01
11
10
01
00
10
10
10
01
01
00
10
10
01
00
10
00
11
11
00
10
00
10
11
00
00
00
01
10
00
00
10
10
00
10
00
00
10
10
10
10
00
00
10
00
10
10
01
00
10
00
11
10
00
00
10
10
10
01
00
10
10
10
00
10
10
10
10
01
10
01
10
00
00
00
00
00
10
00
10
11
10
10
00
00
10
10
00
01
10
10
10
01
00
00
10
10
11
00
00
11
00
01
10
00
01
00
11
01
10
00
11
00
10
10
00
11
01
11
00
10
01
00
10
00
00
10
10
10
11
10
11
11
11
01
11
00
10
10
00
10
00
00
11
00
00
01
10
10
01
10
11
10
01
00
11
10
11
00
00
01
10
10
00
10
11
10
10
00
01
11
01
00
10
00
10
10
00
00
11
10
10
00
10
11
10
11
00
11
10
00
00
10
00
10
10
01
10
10
10
01
10
10
00
00
10
01
10
00
01
10
01
01
11
11
01
00
01
11
11
11
10
00
01
01
10
10
00
00
01
11
00
10
01
01
10
11
00
10
11
01
10
11
01
00
01
11
01
01
00
10
10
00
00
00
11
01
00
11
01
00
11
10
10
10
10
00
00
11
10
01
00
10
11
01
10
01
10
10
10
00
10
10
00
00
10
01
00
11
00
10
00
00
01
00
11
11
11
11
00
11
00
10
00
01
10
11
00
01
10
00
01
11
11
00
00
11
00
10
00
00
10
10
10
00
00
11
01
10
01
00
00
01
11
10
00
11
10
00
01
00
01
10
01
10
00
00
00
10
10
00
01
10
01
00
01
10
10
00
10
10
00
10
11
10
00
00
00
11
10
11
00
10
00
01
11
00
01
01
00
10
00
00
11
10
01
10
00
10
10
10
00
10
10
00
11
00
00
10
01
10
01
10
10
00
01
01
10
10
01
01
00
00
11
00
00
01
11
10
10
11
00
00
00
00
10
11
01
00
10
00
10
01
00
01
11
10
00
10
11
01
01
10
10
00
01
00
00
00
10
00
10
11
10
01
00
11
11
11
11
10
11
00
10
00
00
10
10
10
10
00
01
11
00
10
10
10
11
01
10
11
00
00
01
11
00
00
11
11
10
10
00
00
11
00
01
00
10
01
01
00
11
10
11
10
10
10
10
01
01
01
10
10
00
00
10
10
10
01
11
00
01
01
10
01
10
10
00
00
10
11
10
00
00
10
00
00
10
11
11
00
11
00
11
00
00
00
00
11
01
00
10
11
10
10
01
11
00
10
11
00
11
10
01
00
10
10
01
10
11
10
10
10
01
10
00
00
11
00
10
10
11
10
10
01
01
00
00
10
01
01
00
10
10
00
00
11
00
00
11
00
11
00
10
11
10
01
01
00
10
10
10
01
10
10
01
11
11
00
11
00
10
01
01
10
10
00
10
10
10
01
10
11
00
10
11
11
10
10
10
00
01
01
10
10
01
00
10
10
11
00
10
00
00
11
10
11
00
00
11
00
11
10
11
00
11
01
10
01
01
10
10
01
00
00
11
10
10
01
10
11
11
00
10
10
10
01
00
11
10
00
11
10
00
10
00
00
01
00
10
00
11
10
00
01
11
00
10
00
01
00
00
00
01
01
00
00
01
00
10
10
11
10
01
01
00
00
00
10
11
00
10
11
01
01
01
11
11
00
10
00
01
00
11
10
00
01
11
11
00
00
11
10
00
00
11
10
00
00
10
10
00
11
10
11
00
00
01
00
00
11
10
00
00
00
00
10
10
10
10
01
00
10
10
10
00
00
10
10
10
10
10
11
00
00
01
11
10
00
01
11
10
00
00
10
10
01
01
00
10
10
00
00
00
00
10
00
10
01
00
01
10
11
00
11
00
00
00
10
10
01
11
11
00
00
10
10
10
00
01
10
00
01
10
11
00
11
00
10
11
00
10
10
00
00
10
01
00
11
11
10
01
00
00
00
00
11
10
01
01
10
00
10
01
10
00
01
00
00
10
00
10
00
01
11
00
11
10
01
10
10
10
00
00
11
00
00
01
00
10
10
10
00
11
10
10
10
10
01
10
00
10
11
10
10
10
00
01
00
10
11
11
00
11
00
00
00
11
11
11
11
00
01
11
11
00
00
10
11
10
10
01
00
10
10
00
00
00
10
00
00
01
10
10
00
11
11
00
00
11
00
10
01
00
10
00
00
11
10
11
00
01
10
10
01
01
11
10
10
00
00
00
10
10
10
01
10
10
10
11
00
00
01
10
01
00
00
01
00
11
00
10
11
11
00
00
00
00
11
10
00
10
10
11
00
00
11
00
10
00
00
10
01
10
10
10
10
00
00
10
01
00
10
01
00
11
10
01
11
00
01
11
00
00
00
10
11
00
00
10
01
11
10
00
00
10
10
00
00
11
10
00
00
10
11
00
00
00
00
00
00
10
10
00
10
01
00
01
00
10
01
10
10
11
00
10
01
00
00
10
11
00
11
01
01
11
10
00
10
00
01
10
00
11
00
10
01
10
11
01
00
01
10
10
00
10
10
11
10
00
11
01
00
10
10
00
10
00
00
10
00
10
10
10
10
00
01
10
10
01
01
00
00
11
00
00
00
10
10
01
00
00
10
10
11
00
10
00
01
10
01
10
11
00
00
11
10
00
00
01
00
01
10
11
01
00
10
00
11
11
10
00
10
00
00
10
10
01
00
10
10
10
00
10
00
10
01
01
00
00
10
00
10
10
00
11
00
11
01
00
00
00
11
01
01
10
01
00
10
00
01
10
10
10
00
00
10
00
01
00
00
10
10
10
10
11
11
10
10
01
00
00
00
11
00
00
01
01
10
00
10
10
00
00
10
01
00
11
10
00
01
01
11
10
10
10
10
10
10
10
01
01
10
00
00
01
01
01
00
11
10
01
00
10
11
01
10
10
00
00
10
00
00
00
11
10
01
00
10
01
00
10
11
00
01
10
11
11
10
10
00
01
10
10
01
11
11
11
01
00
00
11
00
01
10
00
01
10
00
01
11
11
00
11
01
10
11
10
01
10
01
00
10
11
00
00
10
10
00
00
11
00
01
10
10
10
00
10
11
00
00
10
11
00
00
00
00
00
10
00
10
00
11
11
10
10
11
10
00
11
10
11
00
00
10
00
00
00
00
11
00
01
11
01
00
00
10
11
00
00
00
11
10
01
11
10
11
01
10
10
10
00
10
11
00
00
10
10
10
00
01
10
01
11
00
00
10
00
10
11
10
10
00
11
01
00
00
00
01
11
11
00
00
01
00
10
10
10
00
00
10
00
00
11
01
00
00
01
00
10
01
10
11
00
11
10
10
00
00
00
10
00
00
01
11
00
00
11
11
00
10
10
00
11
10
10
00
00
11
10
11
00
10
10
10
00
00
10
11
00
00
10
00
10
00
10
11
01
00
11
00
00
00
10
10
01
00
00
00
11
11
00
11
01
10
00
10
00
10
01
00
10
10
10
00
00
11
11
10
00
10
00
10
00
00
10
00
10
00
11
10
10
10
00
00
11
01
11
00
00
10
00
00
01
10
01
00
01
10
11
10
11
01
01
10
11
10
10
11
01
11
10
00
00
00
10
10
00
00
01
11
10
11
11
11
10
00
10
10
00
01
10
10
01
00
01
01
10
00
00
00
11
00
00
11
01
11
10
11
00
11
11
00
10
00
11
01
11
11
11
00
00
10
11
01
01
11
00
01
10
00
10
10
01
01
10
10
00
10
00
10
01
01
01
10
10
00
01
10
01
00
10
01
10
00
01
10
10
10
10
10
01
01
11
10
11
00
10
01
10
11
00
00
10
00
00
11
10
00
00
00
11
00
00
10
00
01
10
00
10
01
11
01
01
11
00
00
10
10
00
00
10
11
10
00
10
11
10
01
10
11
00
00
11
10
11
01
00
11
10
00
01
00
11
10
00
00
00
00
10
00
00
10
10
00
10
00
00
11
10
11
00
10
10
11
00
10
10
00
10
11
00
01
10
10
11
00
10
01
10
11
01
10
01
11
10
10
11
01
01
10
11
00
01
01
11
01
11
11
00
11
10
00
00
00
10
10
01
01
00
11
11
01
11
00
10
11
10
00
11
01
01
10
11
11
01
10
00
01
11
11
10
11
01
01
10
01
10
11
00
11
00
00
10
11
10
00
01
10
00
10
10
11
00
01
10
10
00
10
00
10
00
01
10
10
00
00
10
10
00
00
00
11
11
10
00
10
00
00
10
11
10
00
00
10
10
00
01
00
00
10
00
00
11
10
10
10
10
01
01
10
11
10
01
10
10
00
01
10
11
11
01
00
10
01
10
00
01
00
10
10
10
11
10
10
00
00
10
00
01
01
01
11
00
01
10
00
01
10
10
00
10
00
00
10
00
00
11
11
11
10
10
11
10
10
10
01
01
10
10
00
01
11
00
01
10
10
10
10
01
00
11
00
01
00
01
10
10
00
01
11
00
00
10
10
10
10
11
11
00
01
10
10
11
01
11
00
10
00
10
01
00
10
01
00
11
11
10
10
00
11
00
01
10
10
10
01
00
00
00
11
00
01
10
10
01
10
11
10
11
00
01
00
11
00
00
10
10
10
00
11
11
11
01
10
11
01
11
00
01
00
10
10
00
00
10
10
10
00
00
10
10
00
10
10
10
10
00
10
00
01
10
00
11
10
11
10
01
10
00
01
01
10
10
00
01
01
01
10
11
00
00
00
10
01
00
10
11
10
00
10
00
00
00
00
10
00
00
11
10
10
00
00
11
11
10
01
00
10
01
11
10
01
00
10
01
00
00
10
00
00
00
00
10
00
00
10
00
10
00
10
11
01
01
11
00
11
10
00
00
11
10
10
10
01
11
00
10
00
00
10
10
11
10
01
00
00
00
01
01
10
01
00
01
00
10
10
10
10
01
01
10
11
00
01
00
00
11
10
11
00
01
10
10
01
01
10
01
01
10
10
10
00
01
00
10
10
01
00
00
10
10
00
10
00
01
11
00
00
01
01
10
00
10
10
11
11
01
10
00
01
00
00
11
10
00
00
00
00
10
00
01
00
00
00
00
00
10
10
00
01
10
10
00
10
10
00
00
10
10
01
01
00
01
01
10
11
00
11
11
00
00
11
10
00
00
10
00
00
00
11
11
01
10
10
00
00
11
00
10
11
10
11
00
00
10
10
00
00
00
01
01
00
00
01
10
10
11
01
10
01
00
10
10
10
11
00
00
10
11
10
11
11
01
10
11
00
10
10
00
00
10
11
00
00
01
10
10
00
00
10
10
00
11
00
00
11
10
10
00
10
10
00
00
00
10
10
00
00
00
00
01
10
10
01
01
01
10
11
10
00
01
10
11
10
01
00
10
01
00
11
10
11
10
01
10
00
10
10
10
00
00
00
10
10
10
11
00
10
11
10
11
10
01
10
10
00
00
00
11
10
01
00
11
10
00
01
01
10
00
11
11
00
00
11
10
10
10
00
00
00
10
10
00
10
00
10
11
00
01
00
00
00
01
01
10
10
00
00
10
00
00
10
00
01
00
10
00
01
00
00
11
11
00
11
00
01
00
11
01
00
00
11
00
00
00
00
01
10
11
10
00
01
00
10
10
00
01
10
11
01
10
10
10
11
11
11
00
10
10
10
00
10
00
01
11
10
11
10
10
10
00
01
00
10
11
00
00
00
10
00
00
11
10
00
10
00
11
00
10
00
00
11
01
10
00
00
10
00
10
10
10
10
01
11
00
00
10
01
00
00
10
11
00
00
00
10
10
00
11
10
10
00
10
11
00
10
01
11
10
00
00
00
10
00
11
10
00
00
00
00
10
00
10
11
00
00
10
11
10
01
00
11
00
00
00
00
01
10
01
00
10
10
00
10
00
01
10
10
10
00
00
10
10
10
01
11
01
00
01
00
10
10
11
11
00
11
11
11
00
10
10
01
10
00
00
10
10
11
00
00
10
11
11
11
11
00
00
01
00
10
11
10
01
01
11
00
11
00
11
00
00
10
10
10
00
01
00
11
10
00
00
01
00
11
00
01
11
11
10
00
11
11
10
00
00
10
11
10
10
11
00
00
11
10
00
00
10
11
11
10
00
10
01
01
00
11
10
00
00
01
11
10
11
00
01
10
00
10
01
10
10
01
00
11
10
11
10
10
11
10
11
00
00
10
10
00
11
01
00
01
00
10
10
10
11
01
00
10
11
01
11
00
10
10
00
10
01
10
10
10
00
01
10
00
11
10
11
01
00
10
00
10
10
11
00
11
00
00
00
01
11
01
00
11
10
11
10
10
01
00
10
11
00
00
10
10
10
00
01
00
11
00
00
00
00
10
11
11
00
11
10
10
00
11
00
00
00
10
10
01
10
10
10
10
11
11
00
10
00
01
10
10
00
00
00
00
10
11
00
00
11
00
11
00
00
10
10
11
01
10
10
10
10
11
00
01
01
00
00
01
10
00
10
10
10
01
00
00
00
10
00
10
10
10
11
00
11
00
00
00
11
00
00
10
00
00
00
10
10
00
11
00
01
01
00
10
00
00
01
11
11
00
00
10
10
01
00
11
00
00
10
00
10
00
01
11
11
00
00
11
00
10
00
00
10
00
00
10
10
10
11
00
10
00
11
10
01
10
00
01
01
11
10
00
01
01
11
10
10
10
10
10
10
10
01
10
11
00
00
10
10
00
10
11
00
01
10
00
00
10
00
10
11
00
00
10
11
11
00
00
00
00
10
10
11
11
00
01
00
00
11
01
01
01
01
00
10
10
00
10
11
00
01
11
01
00
00
10
10
10
01
00
10
00
10
10
00
00
10
00
01
11
10
01
11
00
01
00
10
11
00
01
01
01
00
01
10
10
10
10
10
00
00
10
10
01
10
10
01
00
00
11
10
01
01
10
00
11
11
10
01
01
00
00
00
00
10
00
00
10
10
10
10
00
00
01
10
00
00
10
10
01
01
11
10
00
10
00
00
11
11
11
01
00
10
00
11
00
00
01
10
01
00
01
10
00
00
10
10
00
00
00
00
00
10
10
00
00
11
10
01
10
10
00
10
11
00
10
10
01
01
01
10
01
11
11
10
01
00
10
00
01
00
01
00
10
10
10
00
01
01
11
10
10
00
10
10
00
01
01
10
00
00
11
00
10
10
11
11
01
10
10
00
00
01
10
10
00
01
10
00
01
00
00
11
11
10
11
00
10
11
10
01
01
11
10
10
10
00
00
10
00
01
00
10
00
00
11
10
11
10
10
10
00
11
01
10
10
00
01
11
11
01
00
11
10
10
11
00
00
10
10
00
00
11
10
10
00
01
10
11
01
00
01
10
10
10
00
01
10
10
00
10
01
00
10
01
00
01
11
10
01
11
10
00
11
01
00
11
11
10
00
00
00
01
10
10
00
11
10
10
10
00
01
10
10
00
01
00
11
10
11
00
10
00
11
10
00
10
10
10
10
10
00
11
00
01
00
11
10
10
00
00
10
10
10
00
00
10
00
11
00
11
01
00
00
00
01
11
11
01
01
10
11
00
00
00
00
10
10
10
01
10
11
01
10
10
01
01
10
01
00
10
10
00
00
01
11
10
11
00
00
11
00
01
10
01
00
10
10
00
01
11
00
10
01
00
11
10
10
00
01
00
00
11
10
10
00
01
01
01
01
10
01
10
10
10
01
10
01
11
01
01
10
11
10
00
00
10
10
00
10
10
00
01
11
10
00
00
00
10
10
01
10
10
11
00
01
10
00
00
01
00
10
10
01
11
01
00
00
10
00
10
10
00
10
01
10
10
10
00
00
10
10
00
00
10
10
01
11
10
10
01
00
10
11
10
01
00
01
10
00
01
00
01
10
01
11
10
00
11
00
10
01
00
00
01
11
11
01
00
01
10
00
00
11
10
01
00
10
01
00
10
00
11
10
10
00
00
01
10
10
00
11
00
00
10
11
11
00
00
00
10
11
00
11
00
10
01
00
00
11
10
01
00
01
10
01
10
00
01
10
11
01
10
10
01
10
01
01
00
11
00
00
10
00
00
10
00
01
00
10
00
00
00
10
00
11
10
01
00
01
10
01
00
11
01
00
10
10
00
10
00
01
00
00
10
10
10
10
10
10
01
00
10
01
00
10
01
00
00
00
01
11
11
11
11
10
00
00
11
10
00
00
11
11
10
00
00
10
00
01
11
10
00
00
00
10
00
11
11
01
01
01
10
00
00
11
01
10
11
00
10
00
00
00
10
00
00
11
10
11
00
01
10
01
00
11
00
01
10
00
10
10
11
00
11
10
00
10
00
00
01
00
10
00
00
00
00
10
10
00
01
00
00
10
10
00
00
11
01
10
10
00
00
10
10
11
11
00
01
01
11
11
11
10
11
00
01
01
10
10
10
00
00
10
11
11
00
00
10
00
10
00
01
10
11
01
10
11
00
00
00
00
10
01
00
10
00
11
01
11
10
01
10
10
00
00
00
10
00
00
11
00
10
10
10
11
00
10
00
00
11
10
00
01
10
10
00
01
10
11
11
01
01
00
10
11
10
00
00
10
10
00
11
10
11
00
10
11
10
10
00
00
11
11
10
10
00
00
10
00
11
00
00
11
10
01
01
01
10
00
01
00
00
01
10
10
10
10
01
00
11
10
11
01
00
00
10
11
01
01
10
00
00
10
11
00
01
00
00
10
11
10
11
10
10
01
10
00
01
01
01
00
10
00
00
11
11
11
00
00
11
10
01
00
11
10
10
10
01
00
10
00
00
10
00
00
11
11
10
11
10
00
10
10
10
01
01
10
01
00
00
11
01
00
10
00
10
10
01
00
00
00
10
10
10
00
10
11
00
00
00
01
01
00
10
00
01
10
01
11
11
01
10
10
10
00
01
00
11
10
10
01
10
00
00
00
10
10
11
01
00
00
10
11
01
10
10
00
01
10
00
11
01
10
10
10
00
00
00
11
01
01
01
00
11
10
01
10
11
00
00
11
10
01
00
01
00
10
11
10
00
00
01
00
00
10
00
00
00
00
11
10
00
10
10
11
11
10
00
01
10
11
01
10
01
00
10
00
01
10
11
10
00
11
00
00
10
10
00
01
11
00
10
00
01
10
10
11
10
11
00
00
10
10
01
10
10
00
10
01
01
10
11
10
00
00
10
10
00
00
00
00
10
10
00
11
10
01
11
11
00
00
10
10
11
11
01
00
10
10
10
10
00
00
11
10
00
00
11
01
00
01
11
00
00
00
00
00
10
10
10
01
11
01
00
10
10
10
00
00
00
10
00
10
11
01
10
00
00
00
10
01
10
01
10
11
00
00
00
10
10
00
11
11
11
00
00
00
10
00
00
11
10
01
00
10
10
00
10
10
00
00
11
11
10
01
00
10
01
10
01
00
10
10
10
11
10
11
00
00
10
01
01
11
11
00
11
10
10
00
00
10
11
00
01
10
01
10
00
10
11
11
01
01
10
01
10
00
10
10
00
11
00
00
00
11
00
00
01
11
00
11
11
00
00
01
10
00
00
10
01
00
11
10
10
00
10
10
01
00
10
00
11
10
10
10
10
10
10
00
00
10
10
01
01
10
00
10
11
11
01
00
11
10
00
11
00
00
10
00
10
10
11
00
10
01
11
10
10
10
10
00
10
10
00
10
10
00
01
11
10
00
11
10
10
01
00
00
10
10
11
01
11
00
11
10
10
10
00
11
10
11
11
10
10
10
10
01
00
10
00
00
10
11
01
11
00
10
10
00
01
00
00
10
10
10
10
11
01
10
00
00
11
10
11
10
01
01
10
00
00
01
11
00
00
01
10
10
01
10
10
11
11
10
10
01
11
01
11
10
00
10
10
00
00
10
11
01
11
00
10
11
11
10
11
10
00
01
10
01
10
00
01
00
10
10
00
00
11
10
00
10
00
00
10
00
10
00
10
10
10
00
00
10
11
10
11
10
11
00
01
01
00
00
11
00
00
11
10
01
11
10
11
00
00
11
10
10
10
10
00
00
10
00
11
00
00
10
10
10
10
11
10
11
10
11
00
00
01
11
10
01
00
11
01
00
01
01
00
11
00
01
11
10
11
10
01
00
01
00
11
10
00
01
10
10
00
01
10
01
01
01
10
01
11
10
11
00
10
10
10
10
01
00
10
11
00
00
00
00
10
10
10
00
10
11
01
10
11
10
00
00
10
10
00
01
10
10
10
01
10
00
01
11
00
10
10
00
00
01
10
10
11
00
10
01
11
10
00
01
10
01
01
11
00
00
10
11
01
01
10
10
10
10
01
10
00
00
10
00
10
00
00
11
10
00
01
10
01
11
10
10
00
10
11
10
01
10
11
01
01
00
10
00
00
10
11
01
01
10
10
00
10
00
11
10
01
11
00
00
01
10
00
00
10
10
00
00
10
00
00
00
10
00
00
10
10
01
10
11
00
00
01
11
00
01
11
10
00
01
10
11
10
00
01
00
00
10
00
11
10
10
10
11
01
11
10
00
00
10
00
11
00
01
10
10
10
10
01
10
01
10
11
11
00
01
10
11
00
00
01
10
11
01
10
00
10
10
11
00
00
10
00
00
10
01
00
11
00
01
10
00
01
10
01
01
11
10
01
00
10
00
10
01
00
10
00
10
10
01
00
11
10
00
11
10
10
00
00
10
10
00
00
00
10
00
00
11
01
10
11
10
00
11
00
10
10
00
11
10
00
01
00
01
01
00
00
10
10
00
00
10
10
00
10
10
10
11
10
01
10
11
00
00
00
10
00
00
11
00
11
00
00
00
11
10
11
10
00
00
00
11
00
01
11
11
11
11
10
01
10
11
11
01
01
10
01
11
01
01
10
10
00
01
10
10
00
00
01
11
11
01
00
11
11
00
11
00
00
11
00
10
00
00
00
00
10
01
10
10
01
10
01
10
01
11
01
10
00
10
10
10
01
00
11
00
11
00
01
00
01
01
01
11
11
10
01
10
11
11
00
01
10
00
00
11
11
01
01
10
01
00
11
10
00
01
10
11
00
10
10
10
00
00
11
00
10
11
00
10
10
01
00
01
10
10
00
11
10
00
00
10
10
11
10
10
00
10
11
01
00
00
00
00
10
00
01
10
00
00
11
01
00
10
00
00
01
00
10
01
00
10
10
11
00
11
00
11
00
10
01
10
00
01
10
10
01
00
00
01
01
00
10
01
10
00
00
11
10
00
11
11
10
11
10
00
00
00
01
10
01
01
00
10
10
10
10
00
00
10
10
11
01
11
11
11
00
00
01
10
11
00
00
10
10
10
00
10
10
01
11
10
00
01
00
11
10
01
00
10
00
11
11
00
10
11
10
00
01
10
00
11
11
01
00
10
10
10
10
10
01
00
00
11
10
10
00
00
10
10
10
00
10
11
10
01
11
01
00
10
01
00
00
10
10
01
01
00
10
00
10
01
10
11
10
11
10
01
00
10
10
00
01
11
10
00
00
00
01
10
10
10
00
01
01
01
00
00
01
10
00
10
10
00
00
01
00
01
10
10
00
00
00
11
10
00
10
11
00
10
10
00
10
10
10
11
01
00
10
00
10
00
00
01
01
10
11
00
01
11
01
10
11
10
10
00
00
00
01
00
10
00
01
10
00
11
10
01
10
11
01
10
01
00
10
10
00
00
10
10
01
00
00
01
10
10
00
11
11
01
00
10
00
11
00
00
10
01
10
10
10
10
10
11
00
00
10
10
10
01
10
11
11
10
00
01
00
00
10
10
00
10
10
11
11
00
00
01
01
10
10
01
00
10
10
11
10
00
10
11
01
10
10
00
10
11
11
00
01
00
10
10
11
10
11
00
10
10
10
10
00
11
01
11
10
00
00
11
00
00
10
11
10
10
00
00
10
11
01
00
10
00
01
01
10
10
00
00
11
10
01
11
01
00
10
10
00
01
10
11
10
01
10
10
11
00
11
11
00
11
00
01
10
01
00
00
00
10
00
11
10
00
11
11
10
01
00
00
11
10
10
11
00
01
00
10
11
10
11
00
11
10
10
11
10
00
00
10
10
11
00
01
10
10
10
10
00
10
11
00
11
10
01
10
10
00
10
01
01
11
10
10
01
00
00
10
10
00
00
00
11
00
01
00
10
10
00
00
01
00
10
10
01
11
10
00
10
10
00
01
10
10
11
11
10
10
00
00
10
10
01
10
10
00
11
00
00
10
00
01
10
10
00
00
11
00
00
00
10
01
10
11
00
11
10
11
10
01
10
10
11
00
00
10
10
01
00
00
10
00
01
00
00
00
01
11
11
01
10
10
00
00
00
10
10
00
10
00
11
00
10
00
11
10
00
00
11
01
00
00
00
10
10
00
00
00
10
11
01
00
01
10
11
10
00
00
11
11
11
00
00
10
00
00
10
00
00
00
00
11
10
00
00
00
01
00
11
01
00
11
10
00
00
00
00
11
10
00
10
10
00
00
00
10
00
00
00
00
11
01
00
01
00
00
00
10
10
10
01
01
00
10
00
10
11
00
01
10
11
01
10
10
10
00
00
01
10
00
10
00
00
00
00
10
10
11
11
01
10
11
00
00
10
11
10
00
01
11
01
00
00
11
10
10
00
00
10
01
01
10
10
00
10
10
10
01
01
01
00
00
10
01
01
10
00
00
11
00
10
01
10
10
11
10
10
00
00
10
10
11
10
10
10
00
01
01
11
11
11
10
00
01
10
10
00
00
11
10
10
00
00
11
00
01
10
10
00
11
10
00
00
10
01
01
00
01
11
00
01
10
10
10
01
01
10
10
00
00
01
10
10
00
10
11
00
10
10
01
11
01
00
11
01
10
11
00
11
01
00
10
10
00
01
10
11
10
00
00
10
01
00
11
11
01
01
11
10
10
10
00
01
10
10
10
00
01
01
10
01
10
10
10
10
01
00
00
00
10
10
11
00
10
00
00
01
10
10
01
00
11
10
11
00
10
00
00
10
11
11
00
10
10
11
00
10
11
00
10
00
10
11
00
01
10
11
00
10
01
00
01
10
10
11
10
11
11
10
00
01
01
00
01
01
10
10
10
10
01
10
10
00
11
10
11
10
00
00
10
01
11
10
00
10
11
00
01
11
11
01
00
01
00
10
10
10
01
00
10
10
00
01
01
10
10
10
01
00
10
01
00
10
01
10
10
00
10
11
01
00
00
10
10
10
11
01
10
10
00
00
11
00
01
11
10
10
00
10
11
00
00
01
10
01
01
00
00
10
11
01
11
00
00
10
00
10
10
00
11
11
10
00
11
11
00
10
00
11
01
11
00
00
10
00
00
00
10
11
10
11
00
01
00
11
00
01
00
10
00
00
00
10
00
00
10
10
00
10
00
10
11
00
01
01
00
00
11
00
00
00
11
10
00
00
10
10
10
01
01
10
11
00
00
10
10
00
10
10
10
10
01
00
10
10
01
10
01
10
01
00
01
00
10
10
00
10
11
00
00
10
10
01
00
10
11
10
00
00
00
00
11
10
10
01
11
10
00
00
01
10
11
01
10
10
00
00
01
00
00
00
10
00
01
10
01
10
11
10
10
01
10
00
01
10
00
11
10
11
11
10
00
00
00
10
10
00
01
00
01
11
10
00
11
10
01
00
11
10
01
10
10
10
00
10
11
11
00
10
00
10
00
00
01
10
01
10
00
00
00
01
00
01
11
01
10
01
00
10
00
10
11
00
00
10
10
00
00
10
10
01
11
00
00
10
00
01
00
00
10
00
10
00
11
10
01
11
10
11
01
10
00
01
01
11
00
00
11
00
10
10
00
10
00
00
01
10
11
00
10
01
10
11
00
00
11
11
11
00
01
10
10
10
00
10
11
00
10
10
10
00
01
01
00
10
10
01
10
11
00
10
01
00
11
00
00
10
10
10
00
01
11
00
10
11
11
11
10
11
01
10
10
00
00
11
10
01
00
00
10
11
00
11
00
01
01
00
10
10
10
00
11
10
10
10
10
00
01
10
01
00
10
10
00
10
01
10
10
00
00
10
00
11
00
00
10
01
00
00
10
01
00
11
10
11
10
11
10
01
00
11
10
00
10
10
10
11
00
11
10
01
10
01
10
10
00
00
10
01
10
10
01
00
10
00
10
00
01
10
10
00
10
10
10
00
01
00
01
11
11
00
01
10
11
11
00
00
00
00
10
10
10
00
00
00
01
10
10
01
10
10
01
00
00
10
00
10
11
00
00
10
00
10
10
00
11
01
00
00
10
10
11
01
10
00
01
10
10
00
00
10
11
10
01
01
10
00
10
00
11
10
00
00
00
10
01
00
11
00
00
10
11
10
11
10
11
00
00
00
01
01
11
11
11
10
01
11
00
01
10
11
00
01
11
11
00
00
01
10
01
01
10
01
01
11
00
10
00
11
01
10
11
00
00
11
10
00
10
00
00
00
11
10
01
00
10
00
11
10
00
00
10
11
00
11
11
10
01
10
10
11
00
01
00
11
10
00
00
10
10
00
01
10
11
00
10
10
10
00
10
10
00
01
10
11
01
10
00
10
00
10
11
00
00
00
10
00
10
11
00
00
11
11
10
00
00
10
01
00
00
10
10
00
00
10
11
01
01
01
11
00
11
00
00
10
10
10
00
10
10
10
10
00
01
11
10
00
01
00
10
10
01
10
00
10
11
10
10
11
00
11
11
10
00
10
10
00
10
00
11
00
11
10
00
10
10
01
01
11
10
10
10
01
10
00
00
10
00
10
10
00
00
11
10
10
10
01
10
00
00
10
10
11
00
01
10
11
00
10
00
01
10
10
00
01
01
00
00
10
10
00
00
10
01
11
01
01
10
00
11
10
00
10
10
00
11
10
00
01
10
10
00
11
01
10
00
10
01
00
11
11
01
11
11
10
01
00
10
10
10
01
11
10
00
11
00
01
10
10
10
10
10
00
10
11
00
01
10
10
10
10
00
11
00
01
10
00
10
00
00
10
00
10
10
10
01
00
11
01
00
10
10
10
01
10
11
01
11
10
11
11
10
01
01
10
10
11
00
00
10
10
10
10
10
01
00
10
10
10
11
11
00
00
11
10
00
11
00
00
11
10
11
00
11
00
00
10
10
10
10
10
01
11
01
11
11
10
00
01
10
11
00
10
10
00
10
00
11
10
10
10
10
00
00
00
10
10
01
10
00
00
11
11
10
00
11
01
00
00
10
01
11
00
00
01
10
00
00
10
01
00
11
00
00
10
00
01
10
11
10
11
00
10
11
01
00
01
00
10
00
01
10
10
00
00
11
00
11
11
01
10
00
11
10
01
00
10
11
00
10
00
00
10
00
10
10
11
00
10
00
00
01
10
00
00
00
10
10
01
00
01
10
10
10
10
10
10
11
00
01
10
00
01
00
00
11
10
11
11
00
10
01
00
00
10
11
00
00
01
10
11
00
11
10
00
10
01
10
00
00
11
01
00
00
00
10
01
11
10
10
00
11
11
00
10
00
00
11
00
00
11
10
00
01
11
00
01
01
00
00
01
00
00
00
11
11
10
00
00
10
10
01
10
11
01
10
00
01
10
01
01
10
11
01
01
11
10
00
00
01
01
01
10
10
00
10
01
10
10
01
00
00
00
10
00
00
10
11
10
10
00
10
10
11
10
11
10
10
11
00
10
00
00
10
01
10
01
01
10
01
00
00
11
00
00
10
11
01
10
01
00
00
10
10
01
01
11
10
00
10
10
00
00
01
10
10
00
10
11
10
10
00
01
00
01
10
00
00
10
00
10
00
10
01
00
10
00
00
10
00
10
00
00
11
00
00
00
11
11
10
11
00
00
00
10
10
00
00
10
01
01
00
11
11
10
10
01
10
10
11
00
01
01
00
11
10
00
01
10
11
10
01
00
10
10
00
10
11
10
00
11
00
10
10
00
10
00
01
10
00
10
01
10
11
10
01
11
01
11
10
00
01
00
10
11
00
10
10
00
01
10
10
01
10
01
10
01
00
01
10
01
10
10
10
00
01
10
10
11
00
01
01
11
01
00
00
00
10
10
00
10
10
00
00
11
10
10
10
00
01
10
10
00
11
01
01
11
10
11
00
11
00
10
10
10
01
01
11
00
00
10
10
10
00
00
10
10
00
01
10
10
00
01
10
00
00
10
10
01
00
00
10
01
11
00
00
10
10
00
00
11
10
00
00
10
10
01
11
00
00
01
01
00
00
11
11
10
10
10
10
01
00
10
11
10
10
00
11
10
10
01
01
10
00
01
00
00
00
00
10
10
01
00
00
10
10
10
00
10
00
10
10
11
00
11
01
11
11
10
01
10
00
10
10
00
01
11
11
10
11
00
01
11
01
10
11
00
00
10
11
01
01
10
10
10
10
11
00
01
10
11
11
00
00
10
10
00
00
11
00
01
10
10
10
10
00
00
10
11
10
01
11
11
00
00
00
01
10
00
00
11
00
10
00
10
00
00
00
11
00
01
00
01
00
01
11
00
11
10
01
00
01
10
00
00
11
11
00
10
00
10
10
10
01
10
10
00
10
11
11
00
01
10
10
00
01
10
10
00
10
10
11
01
01
00
11
10
10
00
00
10
11
00
01
00
10
00
00
10
01
01
10
11
10
11
10
00
00
10
00
00
10
11
00
00
10
11
11
00
00
00
10
00
00
10
11
10
11
00
10
10
10
10
01
11
10
00
00
10
00
11
00
00
00
01
00
10
11
01
11
11
00
11
10
00
10
10
00
00
10
00
00
11
10
00
11
00
10
00
10
10
00
00
00
00
10
10
00
10
10
01
11
11
00
10
00
00
10
10
00
01
11
01
01
01
01
10
11
00
01
11
11
00
00
00
11
10
01
11
10
00
00
01
11
01
01
10
00
00
10
11
00
00
10
00
00
00
10
11
11
01
01
10
10
10
00
10
00
00
00
00
00
01
01
10
10
11
11
11
00
11
01
10
00
00
11
00
00
10
00
10
00
00
11
01
11
10
00
01
11
01
00
10
10
00
00
10
01
00
00
01
01
01
11
00
10
10
11
00
00
10
00
10
11
01
10
10
11
10
00
01
00
10
10
00
01
01
00
00
01
11
01
01
11
10
01
10
10
11
01
01
10
01
00
10
10
00
00
01
10
10
10
01
10
00
00
01
11
00
00
10
00
10
10
00
10
10
10
10
00
10
11
00
00
10
01
11
11
00
01
10
10
00
11
10
01
00
01
10
10
01
01
01
11
11
01
00
00
10
00
00
10
11
01
10
10
11
10
10
01
00
00
00
01
00
01
01
10
01
00
10
00
10
11
01
01
10
01
01
11
00
00
11
00
01
10
00
01
00
00
00
11
01
10
11
10
00
11
10
11
10
10
00
00
00
01
00
11
10
00
11
00
10
10
01
00
00
10
11
00
10
11
10
00
00
10
00
11
10
10
01
01
01
11
11
10
10
11
00
01
10
00
00
11
01
10
00
01
11
10
10
01
10
10
00
00
11
10
10
00
10
10
01
00
00
00
00
11
00
00
10
00
10
11
10
01
11
10
10
00
00
10
11
01
01
10
00
00
00
00
10
11
10
11
10
00
10
00
00
10
11
00
00
00
11
01
10
00
01
10
10
10
10
10
11
01
00
10
11
10
10
10
00
11
00
01
10
01
00
00
01
00
00
00
10
10
10
00
00
11
10
10
10
00
01
11
00
00
10
10
00
10
10
11
00
11
00
00
00
00
10
11
11
00
01
11
00
11
10
10
00
00
10
01
01
11
11
10
00
11
01
10
01
00
11
00
00
10
10
00
00
01
10
11
01
11
10
00
00
10
10
10
00
10
10
01
01
11
00
01
11
00
11
10
01
00
11
00
01
10
10
10
10
11
01
10
11
00
01
10
10
00
00
01
10
01
10
10
01
00
00
10
01
01
10
11
10
11
10
00
00
10
00
00
10
10
01
01
10
00
00
11
10
10
11
00
11
11
00
00
10
00
11
10
01
11
11
10
01
10
00
10
10
00
01
00
10
00
01
10
10
01
10
10
01
00
00
11
10
10
00
01
10
01
00
00
10
00
10
11
00
10
10
00
10
00
01
10
10
01
00
00
01
01
11
10
00
10
10
10
00
01
00
10
11
01
00
11
10
11
10
01
00
00
10
10
00
10
10
00
00
00
10
10
00
10
00
01
00
01
10
01
10
00
01
10
11
01
00
11
11
00
00
10
10
01
00
01
01
00
10
11
01
00
10
10
00
00
00
01
00
00
00
00
10
00
01
10
10
00
10
10
01
00
00
11
00
01
00
11
11
11
00
10
01
01
01
11
00
00
10
00
00
10
10
10
00
00
10
10
00
11
10
01
00
10
00
01
00
10
10
00
10
00
00
00
10
10
01
10
11
00
11
00
11
11
00
00
10
01
00
11
00
11
11
00
11
01
10
00
10
01
11
10
10
00
10
11
01
11
00
00
11
10
10
00
00
10
10
00
10
10
00
01
00
10
00
01
10
10
01
00
01
11
00
11
10
01
10
10
00
11
10
00
01
10
00
10
00
11
11
00
11
00
10
00
00
10
00
10
10
00
01
10
11
00
00
10
00
01
10
01
11
11
00
01
10
10
00
00
01
10
11
01
10
10
10
01
10
10
10
00
11
11
00
01
01
10
10
01
10
10
11
01
10
11
11
01
10
00
01
01
10
01
00
10
10
00
00
10
11
11
00
11
11
01
00
10
10
01
01
00
00
10
00
01
00
11
01
00
00
01
11
01
10
10
10
10
00
00
01
10
11
00
10
00
00
10
11
00
01
10
00
11
11
11
11
10
00
00
10
00
01
10
10
10
00
10
11
11
01
01
00
00
10
00
00
10
10
11
00
10
00
10
01
01
01
00
10
00
00
11
01
11
00
00
00
10
10
10
10
01
10
11
01
10
11
01
10
01
11
10
10
10
00
10
10
10
10
00
00
10
10
11
00
01
01
10
00
01
10
00
00
11
00
10
00
01
10
10
11
10
11
00
10
11
11
00
00
01
10
00
01
01
10
11
10
11
10
00
01
11
11
00
10
10
10
00
00
01
11
10
00
10
10
00
11
10
11
00
00
00
10
01
11
11
00
11
10
00
01
00
10
00
10
11
10
10
01
00
11
11
11
01
00
00
00
11
10
00
10
10
00
00
00
10
00
01
00
00
00
00
10
00
01
11
00
01
10
10
11
10
11
01
00
11
10
11
01
11
10
10
10
00
00
10
00
00
00
10
10
10
01
00
00
00
10
10
11
10
00
10
00
00
00
01
10
00
10
10
10
00
00
10
00
00
10
11
10
00
00
10
10
00
10
00
10
00
10
10
00
00
11
11
11
10
10
00
10
10
00
01
11
00
00
00
10
00
00
00
00
10
10
10
10
00
01
00
00
01
00
10
10
01
00
00
00
11
00
10
10
01
10
11
01
00
00
11
01
01
01
10
11
10
00
00
01
10
00
00
10
10
00
10
11
10
11
00
10
10
01
01
11
11
00
10
00
00
00
10
10
00
00
11
01
00
11
10
11
00
01
10
11
00
00
10
10
00
01
01
11
00
00
00
10
00
01
10
10
11
11
11
00
00
10
11
10
11
00
01
11
01
01
00
10
11
10
11
00
10
00
01
01
11
01
10
10
00
10
10
01
00
11
01
00
01
10
00
10
10
01
10
00
01
11
10
00
01
10
10
10
01
00
00
00
10
00
11
11
00
00
00
11
11
00
00
10
10
00
00
11
10
10
00
10
11
10
01
10
11
10
10
01
00
10
01
10
11
00
10
01
01
00
10
00
01
11
10
11
00
01
11
10
01
01
10
10
01
00
10
00
00
11
10
01
10
00
00
01
10
10
10
00
00
11
11
01
11
11
01
10
10
11
10
01
01
00
10
10
01
11
10
00
00
11
00
01
00
10
10
00
10
00
11
11
00
10
10
01
10
10
00
01
10
01
11
00
01
10
10
00
01
11
00
00
11
00
10
00
01
10
10
00
10
11
01
00
00
11
10
00
10
10
11
10
00
10
00
10
10
01
11
11
10
11
00
10
00
00
01
10
00
11
00
10
10
00
10
11
01
00
10
00
00
10
11
10
01
00
01
10
00
01
00
10
11
01
01
00
11
01
10
00
01
00
00
10
10
00
10
00
10
10
00
10
01
10
10
00
11
11
11
11
00
10
10
10
10
00
01
10
10
01
10
01
00
01
11
10
01
00
00
10
10
10
00
10
00
01
10
00
10
00
10
11
01
01
00
10
10
10
11
11
10
10
00
00
01
01
10
00
00
11
00
10
00
10
11
01
11
10
01
01
11
10
00
11
10
00
00
00
00
01
10
10
00
01
10
01
01
10
00
01
10
10
00
01
00
00
00
11
00
00
11
11
00
10
11
11
01
11
10
00
01
10
01
00
00
10
10
10
10
10
10
00
00
01
00
00
11
10
01
10
10
01
00
01
00
00
00
10
10
10
00
00
01
11
10
01
10
01
10
10
00
10
10
10
11
00
01
11
11
11
11
00
01
00
10
00
00
10
10
00
00
11
10
10
11
00
10
00
00
00
10
10
00
01
00
00
10
00
01
10
00
01
00
11
10
10
11
00
10
10
00
00
11
00
00
11
01
11
00
00
00
01
11
11
10
00
01
10
01
10
10
00
01
00
10
10
00
10
00
10
01
01
11
10
00
10
10
01
01
11
10
11
10
11
00
11
01
00
01
01
10
10
00
00
10
10
00
10
10
10
10
00
00
00
10
10
00
10
01
10
01
11
10
00
00
10
01
10
10
10
00
10
11
01
10
10
00
00
00
11
10
10
00
00
00
11
01
00
00
10
10
11
10
00
01
11
10
11
00
01
01
01
00
00
00
10
10
10
01
11
00
00
10
00
01
01
10
00
01
00
00
00
11
10
11
00
01
00
11
10
01
11
10
10
10
10
00
00
10
00
00
10
01
10
11
01
10
11
11
11
11
10
01
01
01
00
00
10
11
10
10
00
00
11
11
10
10
10
10
10
00
10
00
11
00
01
10
00
10
01
01
10
00
00
11
10
10
00
10
10
00
00
10
10
10
00
10
01
00
10
11
00
10
00
11
11
10
11
00
00
10
01
00
11
01
11
01
00
10
10
10
10
10
00
10
10
00
00
00
10
00
01
10
01
10
10
01
10
00
10
10
01
10
00
00
00
00
10
11
00
10
01
10
01
10
10
00
01
01
00
01
10
10
00
11
10
11
01
01
00
10
00
01
10
10
10
00
10
10
10
10
00
00
01
00
10
00
11
01
00
10
10
00
01
00
10
01
00
00
00
00
10
10
10
11
11
11
01
11
11
00
01
01
10
10
00
00
10
10
01
10
01
10
11
10
01
10
11
10
00
10
00
00
11
01
11
10
10
10
10
10
00
10
11
00
01
00
10
00
01
10
10
01
00
00
10
11
01
00
10
11
00
11
00
01
11
01
00
11
10
01
10
00
00
10
10
00
10
11
00
10
00
10
00
10
01
10
00
11
10
01
00
01
01
11
11
00
10
00
11
10
10
10
00
01
10
00
10
00
11
00
00
10
00
01
01
01
10
10
01
01
00
00
10
10
00
10
11
01
00
01
10
10
00
00
11
11
00
01
10
00
10
00
11
10
11
10
11
00
01
00
11
00
00
10
01
00
11
01
00
10
00
11
11
01
10
11
10
11
00
10
01
01
01
10
01
10
11
00
00
11
10
01
10
10
10
10
01
00
10
10
00
00
10
11
00
10
01
01
11
01
00
01
10
00
10
01
00
10
00
10
00
00
00
10
10
01
01
10
11
00
10
00
01
00
01
11
10
11
10
01
00
10
11
00
01
10
00
00
00
10
10
00
00
10
10
10
10
10
00
10
00
10
00
11
10
10
00
00
10
00
01
10
01
11
00
10
01
01
00
01
10
11
00
10
10
00
10
00
00
10
10
10
10
00
01
10
00
00
00
00
01
10
11
01
00
10
00
00
11
10
00
01
00
11
10
00
10
10
11
10
00
00
10
00
00
10
11
01
11
10
00
00
00
01
00
10
10
00
11
10
01
00
00
01
00
10
00
10
10
11
10
00
00
10
10
00
11
10
01
01
01
10
11
00
11
01
00
10
10
11
10
00
11
00
00
00
00
10
10
00
00
10
10
11
10
11
01
00
01
11
11
10
00
00
10
01
01
10
00
10
00
00
01
10
10
00
00
01
01
00
10
10
00
00
10
10
00
11
11
11
01
00
10
00
10
00
00
10
10
00
00
10
11
10
11
00
00
00
11
00
11
10
01
00
01
00
11
10
00
00
00
10
00
10
10
11
00
00
00
00
00
00
10
00
10
11
10
01
01
00
10
00
10
10
10
01
00
01
00
00
11
00
10
11
01
10
10
00
00
10
10
00
01
10
10
10
01
01
10
01
10
00
10
10
00
11
01
10
11
01
10
00
00
11
01
11
11
00
11
01
11
10
00
10
10
01
00
00
10
11
11
00
01
00
10
11
10
00
11
10
01
10
10
00
11
00
11
10
00
00
10
10
00
11
10
00
10
10
00
00
00
10
01
10
00
11
01
00
11
10
11
10
01
00
11
01
00
10
10
10
00
10
01
00
11
01
10
00
10
10
11
10
11
01
00
01
01
00
10
01
00
10
10
00
00
01
11
11
00
10
01
00
00
10
00
11
00
10
00
00
11
10
10
00
11
01
10
10
11
11
01
00
10
00
01
11
00
11
00
10
01
00
00
11
01
01
11
11
00
01
11
01
01
10
10
00
10
10
00
00
10
00
10
10
00
00
00
01
00
10
00
00
00
10
10
11
01
00
10
00
00
01
00
00
00
01
01
01
10
10
00
10
11
10
00
11
10
00
00
10
11
00
11
00
01
00
00
10
00
01
10
10
00
00
11
10
00
00
10
00
01
11
00
01
10
00
00
01
11
01
10
01
00
10
00
10
11
01
00
11
10
00
00
01
10
00
00
10
00
10
01
01
11
10
10
11
00
00
11
10
00
01
00
00
10
11
00
11
11
01
11
10
00
11
00
01
00
10
10
01
00
01
00
10
00
11
11
01
11
00
00
10
00
00
10
11
01
10
11
10
11
11
11
00
00
00
10
10
10
00
01
00
10
10
10
10
11
00
11
00
11
00
10
00
10
11
11
01
01
00
10
00
00
00
10
11
00
11
00
10
10
10
10
10
00
00
00
00
00
00
00
01
00
11
01
00
00
11
00
01
00
01
00
01
11
10
00
10
11
00
10
10
10
10
10
10
10
10
10
00
00
00
01
00
11
10
10
00
00
10
11
00
00
00
10
10
00
00
11
00
10
10
10
11
11
11
00
00
11
00
00
10
11
01
01
11
10
10
00
10
10
00
00
10
00
00
10
10
11
00
10
00
10
00
00
00
01
00
11
00
00
10
11
00
00
00
11
11
11
00
00
10
01
01
11
00
01
00
01
00
10
11
10
10
01
00
10
10
10
00
01
00
00
01
00
00
00
10
00
00
00
00
10
10
10
10
01
10
00
10
11
11
01
00
11
00
01
01
00
10
00
01
10
00
01
00
10
01
00
11
00
01
10
00
00
10
11
01
00
10
10
11
10
10
01
10
01
10
10
10
10
00
00
00
01
10
10
11
01
00
01
00
10
10
01
11
00
10
10
00
00
00
01
00
11
00
10
10
00
00
10
10
00
00
11
10
10
10
00
10
00
01
00
01
11
10
10
01
00
00
01
10
11
00
00
00
10
10
00
01
11
00
10
00
10
10
10
11
00
01
10
01
10
10
00
01
11
00
11
00
10
00
10
11
10
00
00
00
00
00
00
10
00
10
00
10
00
10
10
10
01
10
11
00
00
00
11
10
00
00
00
00
11
11
11
00
11
01
00
10
10
01
00
10
00
00
00
00
10
11
01
00
11
10
01
10
10
00
11
10
10
01
00
10
10
00
00
11
10
00
10
11
10
00
10
01
00
10
01
10
11
01
01
01
10
10
10
10
00
01
10
10
11
01
10
11
01
00
10
01
00
00
00
11
10
01
10
11
10
01
00
00
10
10
00
01
10
11
01
00
10
00
10
00
00
11
11
10
11
00
10
00
10
01
11
11
01
11
10
11
10
00
00
10
10
00
00
11
11
11
01
00
10
01
11
11
01
01
10
10
00
10
11
00
00
10
11
10
11
00
00
10
10
01
01
10
11
11
11
00
00
01
11
10
01
00
10
11
00
11
01
11
01
00
11
01
10
00
10
11
00
10
00
10
11
01
10
00
01
10
11
00
00
00
11
11
10
10
00
00
00
11
11
10
10
00
11
10
11
00
10
10
00
00
00
11
10
11
10
01
11
00
01
10
10
10
10
00
11
10
01
10
10
10
00
00
10
11
00
00
01
10
00
10
10
10
10
10
00
00
10
00
10
00
10
00
00
10
10
00
10
11
00
10
01
01
10
00
10
10
00
11
01
10
10
00
00
10
01
10
11
10
00
10
10
01
00
00
11
10
01
00
11
00
00
00
10
00
11
11
01
01
10
11
10
00
00
01
10
10
10
01
01
01
01
10
00
10
00
10
01
01
10
11
11
11
00
10
00
00
10
10
01
01
10
10
00
11
01
00
01
11
11
00
10
11
11
01
00
00
11
00
01
00
11
00
11
10
10
11
00
00
10
11
11
11
01
10
00
10
10
01
01
00
10
10
10
01
00
10
01
10
00
10
10
01
11
10
00
01
01
10
00
00
10
00
00
11
10
01
11
01
00
11
00
10
00
00
00
01
10
10
01
00
11
00
10
10
00
01
11
00
00
01
11
00
01
00
11
10
01
11
00
00
00
10
00
00
11
11
10
01
10
00
00
11
10
00
01
10
11
01
10
00
00
10
10
10
00
11
10
10
01
10
00
01
01
10
10
00
10
10
10
00
00
11
00
00
11
11
01
10
00
01
01
10
11
10
00
10
11
00
00
10
11
11
11
01
01
10
10
00
10
11
11
10
00
00
10
10
00
01
00
10
10
10
00
00
10
10
00
01
00
01
10
00
10
10
00
00
10
10
00
10
00
00
01
10
01
00
00
10
00
10
10
00
01
10
01
00
10
00
10
01
11
00
00
11
01
00
01
11
10
11
11
00
10
00
00
10
10
10
01
00
10
00
11
10
01
10
00
10
10
01
01
00
10
01
10
10
01
00
00
10
10
00
01
11
11
11
11
01
01
11
00
10
10
11
00
00
11
10
01
00
00
10
01
10
00
00
11
01
10
10
00
10
11
10
10
10
10
11
01
00
11
00
01
00
01
00
01
10
11
10
11
11
00
01
10
10
00
10
00
00
10
10
01
01
00
10
00
00
01
10
00
00
01
00
01
10
10
10
01
01
00
00
11
11
01
00
10
10
10
01
00
10
10
10
00
10
01
10
01
01
11
10
11
10
10
10
00
00
11
11
11
00
10
10
01
10
10
00
00
01
10
10
00
11
11
11
10
11
00
00
00
01
01
11
00
10
00
00
00
01
10
11
00
00
01
01
10
01
11
10
11
10
00
01
10
11
11
10
01
01
00
01
10
11
00
10
10
00
00
10
10
10
10
01
00
00
00
00
01
00
00
10
00
01
00
10
00
00
01
01
10
10
10
01
10
10
00
01
00
01
11
00
01
10
10
10
10
00
00
10
10
00
11
10
00
10
00
01
00
10
01
00
10
10
10
10
10
00
11
00
00
01
10
11
01
00
00
10
11
10
00
00
01
11
01
00
10
00
11
11
10
10
00
00
10
11
00
10
00
00
10
10
01
00
01
10
10
10
00
00
10
11
01
10
10
00
11
01
01
10
00
11
10
01
00
10
01
11
01
10
11
00
00
00
00
00
10
10
01
10
10
01
10
10
00
10
11
11
00
10
00
01
00
10
11
00
10
10
10
00
10
10
10
01
10
10
10
10
01
00
00
01
00
00
01
11
10
10
00
01
11
01
10
10
00
10
01
01
11
00
00
01
10
11
00
00
10
11
00
00
10
10
10
00
10
00
00
10
11
00
01
10
00
10
10
10
10
10
01
10
11
11
01
01
10
10
00
10
10
01
11
10
00
10
10
00
00
00
11
00
01
10
00
00
10
11
10
00
00
10
10
10
01
10
01
00
10
01
11
11
11
00
01
00
10
01
11
10
00
00
11
10
01
10
00
10
11
00
00
11
11
00
10
00
11
00
00
10
00
10
00
11
10
00
01
01
00
10
00
00
10
00
11
01
00
10
00
10
10
01
10
11
01
10
01
00
10
11
00
00
00
10
00
00
11
01
01
10
10
11
11
11
00
11
10
01
00
01
00
11
11
00
01
10
00
00
10
10
00
00
11
01
00
10
00
11
00
01
11
01
11
01
00
00
10
11
00
00
00
10
11
10
10
10
10
00
00
10
01
11
10
11
00
00
10
00
01
10
00
00
01
10
11
10
00
00
11
00
00
00
10
00
00
01
00
00
00
00
10
01
10
11
01
00
10
00
00
01
00
10
10
00
00
01
00
10
01
10
00
00
11
00
11
10
00
10
11
00
10
10
00
10
00
10
00
00
11
10
10
01
01
01
00
11
10
00
00
10
10
00
00
11
00
00
11
00
00
10
10
10
00
00
10
10
00
00
11
00
11
11
01
00
01
10
10
01
00
01
10
00
00
00
10
11
01
10
00
10
10
00
00
10
00
00
11
10
00
01
00
10
00
10
01
00
10
10
00
10
00
10
00
10
00
10
01
11
00
00
11
01
11
11
10
01
10
00
00
10
10
00
00
01
00
01
10
10
11
11
00
00
01
10
01
00
10
11
00
11
10
00
00
00
10
10
00
00
11
01
00
11
10
00
01
10
00
00
00
10
10
10
00
10
11
10
00
01
11
10
00
01
10
11
10
00
10
10
10
00
00
10
11
10
10
00
01
00
01
11
10
01
10
00
10
10
00
10
11
00
01
11
11
00
01
01
10
11
01
01
01
10
00
00
01
10
11
00
00
11
00
01
01
00
00
11
10
01
10
11
11
11
11
11
10
00
01
10
01
00
10
10
10
10
10
11
00
00
10
00
01
10
10
00
00
01
11
10
10
00
00
10
10
10
11
10
01
00
01
10
10
01
00
11
00
10
10
10
10
10
10
00
10
11
00
10
00
00
00
01
11
10
00
10
00
10
00
11
10
01
11
11
10
11
01
11
11
00
01
00
00
11
00
00
10
10
00
10
11
01
11
10
00
01
10
00
11
11
01
00
10
10
10
00
10
00
11
10
01
10
10
11
00
00
00
10
10
00
00
00
10
10
10
10
01
10
00
00
01
10
00
10
11
00
01
11
00
01
01
10
00
01
10
11
00
01
11
01
00
00
01
10
01
10
11
00
01
01
11
10
01
10
11
10
00
01
11
01
00
00
11
10
10
10
00
00
10
00
11
10
01
00
00
00
01
00
11
00
00
11
11
11
00
00
10
11
10
00
10
11
00
01
10
00
01
00
01
00
11
11
01
00
11
11
11
10
00
00
10
11
11
00
00
10
00
10
10
01
00
10
01
01
10
01
10
10
10
01
01
11
11
01
00
11
10
01
00
01
00
10
10
00
10
10
00
10
01
10
10
01
10
11
11
00
01
10
00
00
00
10
10
10
01
10
00
10
10
00
10
01
10
10
01
10
10
01
00
01
00
10
10
01
10
01
00
01
00
00
00
10
01
00
10
11
00
10
01
00
10
11
01
00
10
10
00
10
00
10
11
00
11
00
00
01
01
00
00
10
10
11
10
10
00
11
01
10
00
01
00
10
10
11
10
01
01
00
11
00
11
10
00
00
11
10
01
01
10
01
01
11
10
10
10
00
10
10
00
01
00
11
00
10
10
10
00
10
10
01
10
00
10
00
10
10
01
11
10
10
00
01
00
11
01
00
10
01
11
10
11
11
00
11
00
10
01
00
10
11
00
10
10
10
10
01
10
10
10
00
00
10
01
10
11
00
01
00
00
01
10
00
01
00
10
10
00
00
00
10
11
01
01
10
10
10
00
10
01
01
10
00
01
00
00
01
10
10
00
00
00
00
00
00
01
10
10
10
10
00
10
00
00
10
00
10
10
11
10
01
11
00
00
01
10
10
00
01
00
00
00
00
00
10
00
10
00
11
10
10
01
10
11
10
01
11
00
11
01
10
00
10
10
11
10
00
10
00
00
10
10
10
10
10
10
00
10
00
10
11
00
00
10
00
00
10
01
11
01
00
00
10
01
11
00
01
10
10
00
10
00
01
01
10
10
00
00
01
11
11
00
11
10
01
11
10
01
00
10
10
00
00
10
11
00
01
01
00
11
01
11
10
10
00
01
10
11
10
00
10
10
00
10
11
01
11
10
00
10
11
10
01
00
10
10
10
10
00
11
10
11
00
00
10
01
00
11
00
01
10
10
11
10
10
01
01
10
10
00
11
00
00
00
00
00
10
10
00
01
11
11
00
10
10
00
00
01
10
11
01
01
00
10
00
11
11
10
00
00
00
11
00
11
01
01
10
11
00
10
10
01
01
10
10
00
11
01
10
01
10
10
00
11
10
00
01
11
10
01
00
10
00
00
11
10
00
01
00
11
00
01
10
10
10
00
10
10
00
00
10
10
10
01
10
00
10
01
00
10
01
10
11
01
01
10
00
10
10
10
00
00
01
11
00
00
11
10
11
10
11
10
11
01
00
10
01
00
11
00
01
01
10
10
01
00
11
10
00
01
10
10
10
00
00
10
10
01
00
00
00
00
00
00
10
10
10
10
01
00
00
00
11
10
00
01
10
00
10
00
01
11
00
00
10
10
00
00
11
11
11
01
00
01
00
10
10
00
01
10
00
00
00
10
10
00
10
10
01
10
00
10
00
11
11
10
01
10
10
10
10
00
00
00
11
00
10
00
00
00
10
10
00
00
11
10
10
00
00
01
10
10
00
10
10
00
10
10
00
00
01
00
10
10
01
00
10
10
00
11
00
00
10
00
00
00
10
01
01
00
00
00
10
11
10
11
00
10
10
10
10
10
10
00
11
01
11
00
11
00
00
01
10
00
00
11
00
00
10
00
10
00
01
10
10
10
00
10
11
00
10
01
01
11
00
11
10
11
00
01
11
10
00
00
01
11
11
00
01
00
11
00
00
10
00
10
00
11
10
11
10
01
00
00
11
00
01
00
01
11
10
00
00
00
10
00
00
10
10
00
11
01
00
00
01
10
10
01
01
11
10
00
01
10
00
00
11
10
01
01
00
00
11
00
10
00
01
10
01
00
10
10
10
10
01
00
10
10
11
10
10
11
01
10
01
10
00
00
10
01
10
00
01
10
10
10
00
11
01
10
01
11
10
10
00
10
11
11
00
01
11
11
01
10
10
00
01
10
00
01
10
01
00
00
10
11
00
11
00
01
10
00
10
00
10
00
01
11
00
00
00
11
10
10
01
11
11
01
00
11
01
00
10
00
00
11
11
00
00
11
00
00
11
00
00
10
10
00
11
00
00
11
00
10
00
10
10
00
10
11
11
00
00
10
01
00
10
11
00
01
10
00
11
10
01
11
00
00
10
11
00
01
11
11
01
00
10
11
10
00
00
10
10
00
00
11
11
10
11
10
00
10
00
00
10
00
00
11
10
01
11
11
10
01
10
00
10
01
01
10
11
10
10
01
01
00
00
10
11
10
10
01
01
11
11
00
11
00
01
00
10
10
10
11
00
10
10
10
01
00
10
00
00
00
00
00
10
10
11
00
01
10
11
00
00
00
01
11
10
00
00
11
00
01
11
11
10
11
10
11
10
01
00
00
01
10
00
01
00
10
10
00
00
10
00
00
10
10
10
00
10
11
10
10
10
00
00
01
11
10
00
10
10
00
10
10
00
01
00
10
00
10
10
00
10
01
10
00
00
10
00
11
11
01
01
00
10
00
10
00
10
10
00
00
10
00
11
00
01
10
11
01
11
10
10
00
10
00
01
10
01
00
10
00
10
10
01
01
10
10
00
00
00
00
11
00
10
00
11
10
10
10
01
00
01
10
01
10
00
10
00
10
10
11
00
11
10
10
00
01
10
10
11
00
10
10
11
10
01
10
00
00
00
10
10
11
01
10
11
11
01
10
10
00
00
10
01
10
10
00
00
01
11
01
11
11
00
10
01
01
01
10
11
00
00
10
00
10
10
00
10
10
00
01
01
00
11
01
10
10
00
01
00
10
10
10
10
00
10
11
00
01
10
01
00
00
11
11
00
01
00
11
10
10
10
01
00
10
01
11
10
01
00
11
10
11
10
10
10
00
10
11
00
00
10
11
11
01
00
00
00
10
01
10
10
00
00
00
11
10
00
10
10
11
01
01
11
10
11
00
00
01
01
10
10
11
00
10
01
00
00
00
01
10
00
00
10
00
01
10
11
11
00
10
01
00
10
11
00
00
10
00
10
01
01
10
10
00
10
10
10
00
01
00
10
01
00
10
10
00
10
01
00
11
10
10
00
00
01
10
11
00
10
00
01
10
00
00
01
11
00
00
10
10
00
10
11
00
00
11
10
11
11
00
10
10
00
00
00
11
10
11
00
10
00
00
10
10
00
01
10
00
10
11
00
10
01
00
10
00
10
11
10
10
00
00
00
10
00
10
00
11
01
00
00
11
10
00
00
11
10
00
11
00
00
10
11
00
10
10
01
01
10
11
00
11
00
10
00
10
11
01
01
00
11
10
11
10
11
10
00
00
00
10
00
00
10
00
11
01
10
11
10
00
00
00
10
10
00
00
10
00
10
00
10
10
10
10
10
01
01
11
01
10
01
00
00
10
00
10
11
11
10
11
00
00
00
00
11
00
00
10
00
01
10
00
00
10
11
01
01
10
10
01
10
00
10
01
00
10
11
10
00
01
01
01
00
10
10
01
10
10
00
01
00
10
00
00
00
10
00
10
10
00
00
10
00
00
11
11
00
00
11
10
00
00
01
10
10
10
10
01
11
10
00
10
10
00
01
01
01
10
11
10
11
11
01
11
11
10
00
00
10
10
00
00
10
10
11
01
01
11
00
10
00
11
01
01
10
10
10
11
00
01
10
11
10
00
11
01
00
11
10
10
11
00
10
11
01
01
00
10
00
10
00
10
11
00
11
00
00
11
00
10
01
11
11
00
10
00
11
00
10
10
00
00
11
10
10
00
00
01
10
11
00
01
10
10
10
00
01
01
00
10
10
11
11
11
10
10
10
10
00
00
10
10
00
10
10
00
11
00
11
00
00
00
01
00
11
01
00
00
01
10
11
01
00
10
10
10
00
01
10
10
00
10
10
00
10
11
11
10
00
11
11
10
00
01
00
10
10
10
00
01
10
10
01
00
10
10
10
00
10
10
10
10
01
11
00
00
00
00
10
01
11
10
10
00
01
01
01
11
11
11
00
00
11
00
00
10
00
00
10
10
10
10
10
00
01
10
01
11
01
10
01
10
11
00
01
00
00
10
10
00
01
00
10
11
01
00
11
01
00
11
11
10
11
00
00
10
00
00
10
10
00
00
10
00
01
11
10
10
10
10
00
10
11
00
00
11
01
10
00
00
00
00
10
11
10
11
01
11
11
00
01
00
10
01
00
10
10
01
00
00
00
00
11
11
11
11
00
01
10
00
10
10
01
00
00
11
11
11
10
11
01
01
00
00
10
10
10
10
10
01
01
01
11
10
00
11
11
11
10
01
01
10
01
01
00
11
10
01
00
11
11
01
10
10
01
01
00
00
00
10
10
10
00
00
10
10
00
11
11
00
11
00
01
11
10
10
11
10
00
00
11
10
00
00
11
11
10
01
00
10
10
10
01
01
10
10
10
00
00
11
01
01
00
01
11
00
11
00
00
11
11
01
01
01
10
10
00
10
01
01
10
00
00
11
10
10
00
10
00
10
10
00
00
00
10
01
10
11
11
01
01
10
10
00
01
10
10
10
00
00
10
11
00
11
00
01
10
10
00
00
11
10
10
10
11
00
00
10
00
01
10
10
11
00
00
00
10
00
11
11
00
01
01
10
10
00
00
10
10
00
00
10
00
01
11
00
00
10
00
11
00
10
10
00
00
10
01
00
01
10
10
01
10
00
10
00
00
10
00
00
10
00
11
10
00
10
10
01
10
00
01
00
10
00
00
01
00
11
01
11
00
10
11
10
10
00
00
10
00
00
10
00
00
11
11
00
10
10
10
11
00
00
00
10
01
00
10
10
10
10
10
00
11
10
00
01
01
01
00
10
10
00
00
10
00
01
10
11
00
00
00
10
10
01
11
10
10
00
01
10
00
00
10
11
00
00
10
11
10
10
00
11
10
11
00
01
00
00
10
00
10
10
00
11
10
11
01
10
01
10
01
00
00
10
10
10
00
00
01
11
11
10
10
10
10
00
01
10
10
00
10
00
11
10
00
11
10
00
00
11
11
00
10
10
00
11
10
01
00
10
01
00
00
00
00
10
10
00
10
11
00
10
10
10
11
00
00
00
01
10
00
10
00
01
00
11
10
00
10
10
00
10
10
10
00
10
11
10
11
01
11
00
00
11
10
01
00
10
11
01
00
01
10
11
11
01
01
10
11
00
00
00
10
11
01
10
01
00
10
10
10
01
10
00
01
10
11
00
10
11
00
01
00
10
10
00
10
10
10
00
01
00
01
01
10
00
11
00
10
00
01
10
10
11
10
10
00
10
10
00
11
11
11
11
10
00
00
01
01
00
10
10
10
10
01
00
01
01
11
00
00
01
11
11
00
01
10
10
10
00
11
10
00
00
00
11
10
01
01
10
10
11
10
00
01
11
10
00
10
10
00
00
00
01
00
11
00
10
00
00
11
10
10
00
00
10
10
10
00
00
00
10
10
01
10
10
00
10
11
01
00
00
10
10
10
10
10
01
10
01
01
01
10
10
00
00
00
10
10
11
01
11
11
10
00
00
10
10
01
01
00
00
11
00
01
10
01
00
10
10
10
10
01
10
10
10
00
10
11
10
00
11
10
10
00
00
00
00
01
11
10
00
00
01
10
00
11
10
01
01
00
10
00
00
00
00
10
10
10
10
01
00
00
11
00
10
11
10
10
10
00
01
10
10
01
00
10
10
10
00
10
10
10
11
01
01
00
01
00
10
01
00
10
10
01
00
10
11
01
01
01
00
10
11
11
10
00
01
11
11
01
11
00
10
10
00
00
00
01
10
11
00
00
11
01
00
00
10
00
11
10
11
11
10
01
01
00
00
01
10
10
00
01
00
10
01
01
10
00
10
10
10
00
01
01
01
10
10
00
11
00
10
00
00
11
10
01
00
10
10
11
10
00
10
10
00
00
00
00
11
00
10
01
10
11
11
00
00
00
00
00
00
10
11
10
10
01
01
10
11
10
01
01
00
00
11
00
01
10
00
00
10
11
01
11
11
00
11
01
00
01
01
10
10
11
10
01
00
10
00
10
00
00
01
11
11
10
00
11
11
11
11
01
01
01
01
11
01
00
10
11
00
00
10
00
10
10
10
00
10
00
10
10
11
10
00
00
11
00
10
10
10
10
00
01
01
10
00
01
11
00
10
00
10
00
10
11
10
00
00
00
01
00
11
00
11
00
10
00
10
00
00
01
01
11
11
11
10
01
01
00
01
10
10
00
10
11
00
01
11
10
00
01
10
11
11
00
00
10
00
10
11
00
00
10
10
00
10
00
01
00
10
00
11
01
10
11
11
10
10
00
00
00
10
10
00
10
01
01
11
00
10
10
10
10
00
01
11
00
11
01
10
11
01
00
00
10
11
11
11
00
01
01
10
10
01
00
10
11
00
10
00
01
10
00
00
10
10
10
11
01
10
00
00
11
00
11
10
01
00
10
01
01
11
11
00
00
11
01
10
00
00
10
10
01
00
10
01
00
10
00
00
10
11
00
00
00
00
01
10
00
00
00
00
10
00
01
10
11
10
10
10
01
00
10
00
00
10
10
01
00
10
00
11
00
00
11
01
00
01
00
10
10
00
00
10
10
01
00
10
11
00
00
00
11
10
11
00
00
11
10
00
10
10
01
01
00
10
10
01
10
00
00
00
01
10
11
00
01
10
11
00
00
11
11
00
00
11
11
10
01
00
11
00
10
10
00
01
10
10
00
10
01
01
10
00
00
00
00
10
11
10
00
00
10
11
00
10
01
11
01
11
00
11
00
00
10
01
01
10
10
00
10
10
10
01
11
10
11
01
10
10
01
00
10
00
00
10
11
10
01
11
00
01
10
00
10
10
00
10
10
01
10
10
01
11
01
00
10
00
10
10
00
10
10
00
00
10
11
10
00
11
00
01
00
00
01
11
01
00
01
00
10
00
01
10
11
10
10
10
10
10
00
00
00
10
00
11
10
10
11
10
01
00
00
10
10
10
01
00
10
00
00
11
00
01
01
01
10
10
00
00
00
00
00
10
00
10
10
00
00
11
00
00
00
11
00
01
00
11
00
11
00
01
10
10
10
01
01
10
11
00
11
10
00
11
10
00
00
00
11
11
00
01
00
00
10
01
11
01
00
10
01
10
00
01
10
00
10
10
01
01
10
10
00
11
00
00
10
01
10
10
01
00
11
10
10
00
00
11
11
11
11
01
10
11
00
01
01
10
10
10
00
10
11
00
01
00
11
10
00
11
01
00
10
00
10
00
00
11
00
00
11
00
00
10
00
00
10
00
11
11
11
00
01
01
10
10
10
10
00
10
00
00
10
01
10
10
10
00
10
11
10
01
11
01
11
11
01
00
10
10
10
10
01
00
11
10
10
01
01
00
01
10
10
11
00
01
10
01
11
10
00
00
00
11
00
01
10
00
11
01
01
10
01
00
10
00
00
01
11
10
00
00
10
10
10
01
10
00
01
10
01
00
00
10
10
01
01
00
11
11
01
11
00
00
10
10
10
10
10
00
00
10
10
00
00
00
10
10
01
01
10
11
10
10
00
00
00
10
01
00
00
10
00
10
11
00
00
11
10
10
00
01
10
01
00
11
00
10
11
11
10
00
00
10
01
01
10
11
01
00
00
00
00
10
01
00
11
11
00
00
10
11
00
00
10
00
10
11
10
11
00
10
01
10
10
00
01
10
10
10
00
01
10
01
01
00
10
11
00
10
10
00
00
10
11
00
01
11
11
10
11
11
10
10
01
00
10
10
00
10
01
00
00
00
11
00
10
01
10
01
11
00
11
00
01
11
00
01
00
11
10
00
00
00
10
10
10
00
00
10
11
10
11
11
01
11
10
00
00
10
10
10
10
01
00
10
00
10
11
00
01
10
11
10
00
10
01
10
10
00
01
01
10
10
00
00
10
01
00
11
10
00
00
10
11
00
10
10
10
01
11
01
01
10
00
01
10
00
11
11
00
00
11
11
01
11
00
00
11
10
00
00
10
10
00
10
10
10
00
00
00
01
01
00
10
10
01
10
11
10
00
00
01
10
10
10
00
01
00
01
10
11
10
00
10
01
10
10
10
00
00
00
00
10
00
10
11
00
00
00
00
01
10
01
10
01
00
00
11
11
10
11
00
10
11
00
00
00
11
10
10
10
01
10
11
01
01
11
00
11
11
00
00
00
11
00
10
00
11
10
01
00
11
11
11
01
00
10
01
00
10
00
00
00
00
10
10
11
00
01
01
11
11
00
11
10
00
01
11
11
10
00
00
00
11
11
01
01
10
11
00
01
01
01
10
10
11
01
10
11
10
00
00
00
11
00
00
10
01
01
00
11
01
10
00
01
10
10
00
00
10
10
01
10
00
10
00
01
00
11
10
11
01
10
00
01
00
01
00
10
10
10
00
10
10
00
11
00
10
10
00
10
10
00
01
00
11
00
01
11
11
10
00
00
10
10
00
00
11
10
10
01
00
00
10
10
00
00
00
00
10
01
11
01
01
00
10
00
00
10
10
00
00
00
00
01
10
11
01
01
10
01
00
10
10
00
10
10
00
00
11
11
00
11
10
10
10
00
00
00
00
11
10
00
00
00
10
00
11
01
10
00
11
00
00
11
00
10
00
00
10
00
10
00
10
10
00
00
10
00
11
11
00
10
00
11
00
10
11
00
00
10
00
10
00
00
01
01
10
10
11
01
00
00
11
11
00
00
01
11
11
00
01
00
00
01
10
00
10
10
00
11
00
00
01
00
10
00
10
00
10
11
00
00
10
00
10
01
10
10
00
00
11
10
10
01
10
00
00
10
11
10
00
00
01
10
00
10
00
10
10
10
11
00
01
01
10
01
10
01
01
01
11
00
01
10
01
00
10
11
10
10
00
00
10
01
10
10
11
00
01
10
00
00
01
11
10
01
01
11
10
00
10
10
00
00
10
10
10
00
00
00
11
00
11
11
11
00
00
00
11
01
10
00
00
01
10
11
00
10
00
00
10
10
10
00
10
10
00
00
10
11
00
00
00
00
00
10
10
01
11
10
01
01
00
10
10
01
00
00
10
10
01
00
00
11
00
01
00
00
10
10
10
01
11
10
10
10
01
00
01
10
00
00
10
10
00
01
10
00
10
10
11
00
10
11
00
01
10
10
10
00
00
10
01
01
11
00
10
01
01
11
11
00
10
00
10
01
01
10
11
00
11
00
00
10
10
00
00
00
11
11
00
11
11
00
00
10
00
10
00
01
10
10
10
10
00
00
00
11
11
01
00
10
10
10
10
11
00
01
00
00
10
11
00
01
10
10
01
10
00
10
00
01
11
10
10
10
01
10
01
00
10
11
11
01
11
01
00
00
01
10
10
00
10
11
00
00
00
10
01
00
01
11
00
10
10
01
00
11
10
01
01
10
11
00
00
00
00
10
00
11
10
01
11
00
10
11
10
00
01
10
10
11
00
11
10
11
01
10
00
00
10
10
10
00
01
11
10
10
11
00
00
11
10
01
11
10
10
10
00
10
11
00
00
11
10
11
10
01
11
01
00
10
00
00
11
10
11
00
01
10
11
01
01
01
10
00
00
10
10
10
00
00
00
11
00
00
10
10
10
00
11
10
10
10
11
10
10
10
00
01
10
10
00
00
00
10
10
10
10
00
11
11
11
01
11
01
11
00
01
00
10
10
00
00
10
10
00
00
01
01
00
10
00
01
00
01
10
11
10
01
10
00
00
11
10
00
00
10
11
00
10
00
00
11
00
00
10
10
00
01
10
01
00
10
10
00
00
00
00
11
10
00
00
10
00
00
00
11
00
00
01
11
00
11
11
00
00
00
00
01
00
10
10
01
00
00
00
11
10
00
10
00
00
00
10
11
10
00
01
00
00
00
10
00
00
10
01
10
00
00
00
00
00
11
10
10
11
00
01
01
10
11
00
00
10
00
00
00
10
10
00
10
00
01
00
11
00
10
10
10
01
10
11
01
00
00
11
00
10
11
01
11
00
01
00
11
11
11
00
00
01
10
10
00
10
11
10
11
00
11
11
00
00
00
01
11
00
00
10
00
00
00
10
10
10
00
01
00
11
10
01
10
10
00
00
00
11
00
00
11
01
00
00
10
11
10
10
11
11
00
01
01
01
00
10
10
00
00
10
00
00
00
11
00
01
00
01
00
01
00
10
11
00
11
01
00
11
10
11
00
11
10
00
00
10
10
00
11
00
01
10
00
11
11
10
01
10
01
00
11
10
10
10
00
10
01
10
10
01
01
00
00
01
10
00
10
10
00
10
00
10
00
10
10
00
01
00
10
01
00
00
00
00
01
10
10
00
11
01
00
10
11
01
00
11
10
10
10
00
01
11
10
10
00
01
00
10
10
11
11
00
11
00
10
11
10
10
00
11
00
00
10
11
10
01
10
10
01
01
10
11
10
00
00
10
00
00
10
11
00
00
00
00
00
10
00
00
00
10
01
01
10
00
10
00
00
00
01
00
00
11
00
11
11
10
11
01
10
10
00
01
10
00
10
10
10
01
11
11
00
00
00
00
00
11
00
01
00
00
10
10
10
10
00
00
10
01
10
00
01
10
10
00
00
11
00
10
10
00
11
01
10
10
01
00
01
10
11
00
10
10
00
00
10
00
11
00
00
00
10
10
10
00
00
10
10
10
00
11
11
00
10
10
10
10
01
00
01
10
00
01
00
11
00
00
10
00
10
00
10
10
00
00
11
11
01
10
01
00
10
01
10
10
11
01
10
01
00
11
00
00
10
01
11
00
00
10
00
00
00
01
01
10
01
10
00
10
00
01
11
10
11
11
00
10
10
00
01
11
10
11
01
10
11
00
01
01
00
11
11
00
10
10
00
00
00
10
10
10
01
11
00
11
10
11
10
11
01
00
00
10
11
01
11
11
00
00
11
01
00
10
10
00
00
11
10
00
00
00
00
01
01
10
00
01
00
01
10
01
10
11
10
01
00
11
00
10
00
01
00
11
01
00
00
11
10
10
10
11
10
10
00
10
00
11
10
01
00
10
00
00
10
00
10
10
10
10
10
00
10
11
00
11
10
00
00
10
10
01
11
10
10
00
00
01
10
00
11
00
10
00
10
11
10
00
01
00
00
10
11
00
10
01
01
10
00
10
10
01
11
00
01
01
10
00
00
00
10
00
01
10
00
01
11
01
01
10
00
00
10
00
10
10
11
01
10
01
10
11
00
10
00
01
01
11
10
00
01
11
00
01
11
10
00
00
10
10
00
01
00
11
11
01
11
10
00
00
11
00
00
10
11
01
10
11
10
00
10
10
10
00
01
10
00
11
11
10
00
10
01
00
10
01
11
00
01
00
00
01
00
10
10
10
01
01
11
00
00
00
01
01
11
00
00
01
10
10
10
00
01
10
10
10
01
10
00
10
10
10
00
00
00
00
10
01
11
00
11
10
10
10
01
10
01
00
11
01
11
11
01
00
10
00
00
00
00
10
11
10
01
00
10
10
00
10
10
00
01
01
11
11
10
01
00
10
00
10
10
01
00
00
10
00
00
00
11
10
00
00
11
00
10
10
10
01
10
01
00
00
10
01
01
11
11
01
00
00
11
10
00
00
10
01
10
00
01
00
10
10
00
10
01
00
01
10
11
00
00
01
10
01
00
10
10
10
00
11
10
10
00
00
11
01
00
10
00
00
00
00
10
11
00
00
10
00
11
10
00
00
01
00
00
10
11
10
01
00
10
10
01
10
01
01
10
01
00
11
10
11
01
00
10
11
11
00
00
01
11
10
01
00
10
10
10
00
01
10
10
00
01
00
10
10
00
01
10
10
00
00
10
10
00
00
11
10
00
10
00
10
00
00
10
00
10
10
00
01
10
00
10
00
11
00
00
10
00
00
00
00
10
01
10
10
10
00
00
11
01
00
11
10
11
00
11
10
11
01
01
10
11
10
01
01
00
00
10
10
00
11
11
10
00
00
00
00
11
10
00
01
10
10
00
11
01
10
10
11
00
01
10
00
11
01
01
00
10
10
10
00
00
11
10
11
01
01
10
10
10
00
00
00
00
00
10
10
10
10
01
00
10
00
01
10
11
10
00
10
10
00
10
01
01
11
00
00
10
10
01
00
01
00
01
10
01
10
10
11
11
01
00
01
11
11
00
00
01
10
11
00
10
11
00
00
01
10
00
01
10
11
11
10
00
10
00
00
00
10
10
00
01
01
01
00
00
10
10
10
01
10
10
00
00
00
11
10
10
00
00
11
10
00
00
00
10
01
10
00
00
00
10
10
11
10
11
01
00
00
11
01
10
01
00
10
10
00
00
01
00
11
10
10
11
01
00
00
00
10
00
10
11
00
01
00
00
10
11
11
10
00
00
01
01
01
00
10
10
00
11
00
00
00
00
01
11
00
11
10
10
10
11
00
01
11
01
00
10
10
10
11
00
10
00
01
10
00
00
10
10
11
10
01
00
01
01
00
10
10
10
00
11
10
10
00
00
10
10
10
10
01
10
00
10
01
01
01
10
10
01
10
10
11
00
01
11
10
10
00
00
10
00
10
00
00
00
11
10
10
00
11
10
11
00
10
11
00
00
10
10
10
00
11
10
10
00
00
10
10
10
01
10
01
01
00
10
10
00
10
01
00
01
11
11
10
00
00
10
10
00
10
10
01
00
01
10
00
10
11
01
00
10
10
11
10
00
01
11
00
00
10
00
00
00
10
10
11
10
10
10
10
10
10
00
01
01
00
01
10
01
00
01
00
00
10
11
01
01
11
11
10
11
00
10
00
00
10
10
00
10
10
01
10
00
10
00
10
01
00
10
10
10
11
00
10
00
10
01
11
10
10
01
10
01
00
11
10
00
10
11
00
00
01
11
01
01
10
01
10
00
00
10
00
10
10
10
01
00
01
10
01
01
01
11
11
00
01
01
10
01
00
11
10
01
00
00
10
10
00
11
10
00
00
00
00
01
10
10
10
00
01
10
01
00
00
11
01
10
11
10
01
10
00
00
11
00
11
00
01
00
00
11
01
01
10
10
01
00
01
01
10
00
00
00
01
11
11
10
01
10
10
01
00
00
11
11
10
00
00
10
10
10
01
01
11
10
00
10
01
10
10
00
01
10
00
01
10
10
00
10
10
10
00
10
00
01
10
11
11
00
00
01
10
01
10
11
00
00
10
10
00
00
00
10
11
10
11
01
11
00
00
11
10
11
00
01
00
10
01
11
10
01
10
10
00
11
00
10
10
00
11
11
10
00
10
10
00
11
01
10
11
00
10
11
11
00
00
11
10
10
00
00
00
10
10
10
10
10
01
10
10
11
00
00
11
11
10
10
11
00
11
10
10
00
00
10
10
00
01
00
11
00
00
01
00
10
01
00
10
00
01
10
10
10
01
10
10
00
11
10
00
01
10
10
11
11
00
01
10
00
10
11
00
00
00
11
00
01
00
10
11
00
10
10
00
01
10
10
01
00
00
10
01
00
10
00
00
10
01
11
11
00
01
11
11
11
00
01
01
10
00
10
01
00
01
11
10
10
00
00
01
00
10
10
00
10
10
00
01
11
00
00
11
00
01
00
10
10
00
10
10
00
00
11
10
00
10
00
00
00
10
10
00
00
00
01
10
10
00
00
10
00
01
10
10
01
00
10
00
10
00
00
10
11
01
00
11
00
11
01
00
00
11
01
10
11
00
00
00
01
11
11
11
01
01
10
11
00
10
10
00
00
01
11
01
00
00
10
11
00
10
01
10
00
00
00
01
00
00
11
10
00
00
00
01
10
00
10
10
10
10
00
10
00
10
10
00
10
01
11
10
10
00
01
00
10
01
01
11
10
10
11
10
01
00
10
11
10
10
01
11
00
00
00
10
10
00
10
00
10
10
01
00
10
00
00
00
00
10
00
00
00
10
10
10
10
10
00
11
00
10
01
10
01
00
00
00
10
10
10
01
00
00
10
00
11
01
10
10
00
00
11
10
11
00
01
10
11
00
00
10
10
10
01
10
10
00
00
00
11
10
00
00
11
11
11
00
01
01
10
00
01
00
00
00
10
11
10
01
11
01
00
00
10
11
11
01
10
11
01
10
11
00
01
10
00
00
00
11
10
00
00
00
10
11
00
00
00
00
00
10
00
10
11
01
01
00
11
10
00
11
11
10
10
10
11
01
01
01
00
00
11
01
10
11
01
10
11
00
10
11
10
00
01
10
11
00
11
10
11
00
00
10
10
01
00
11
11
10
00
01
00
10
10
11
01
11
10
11
00
01
10
01
11
11
00
10
10
00
10
10
11
00
00
10
11
01
10
11
00
00
00
00
10
10
10
00
10
00
00
10
00
00
00
00
00
01
10
11
00
11
00
10
10
10
00
00
10
00
00
11
10
00
01
10
00
01
00
11
11
11
00
10
10
11
11
00
01
10
11
10
10
10
00
00
00
00
10
00
01
11
00
00
11
10
00
01
01
11
11
00
00
00
10
00
11
00
01
10
10
10
00
10
01
01
11
10
10
00
01
00
10
00
00
00
01
00
11
10
11
10
11
00
00
01
00
10
11
11
10
01
10
10
01
10
00
00
00
11
00
11
10
01
00
01
10
10
00
00
00
10
01
00
01
11
11
10
00
00
01
01
10
10
00
00
10
11
10
00
01
00
00
10
10
00
11
00
11
01
11
10
01
11
01
00
10
11
10
01
11
00
00
00
01
00
01
10
00
00
01
11
00
00
00
00
10
01
10
11
00
00
11
00
10
10
01
00
11
00
10
11
11
10
10
00
00
10
11
10
01
01
00
00
11
00
00
00
01
10
10
11
11
10
00
10
00
01
10
01
00
10
00
10
10
00
00
10
10
01
11
10
01
11
00
00
01
10
11
00
00
00
10
10
01
10
10
00
00
11
00
00
10
00
01
10
11
00
10
01
10
00
10
10
00
10
10
00
00
10
00
10
00
01
10
00
10
10
10
00
10
10
10
00
01
10
00
01
10
10
00
00
10
10
10
11
00
10
01
00
01
10
00
00
10
10
10
00
00
00
11
10
10
11
01
00
10
10
01
10
00
00
10
00
10
00
01
11
11
10
11
01
00
10
10
00
00
01
10
10
00
11
11
01
00
00
10
01
01
10
10
00
10
00
00
00
00
00
10
11
11
01
11
11
00
10
10
00
00
10
11
11
00
01
01
10
11
10
01
11
10
00
00
01
01
10
10
00
00
00
10
10
01
00
10
00
10
10
10
10
01
00
10
11
11
11
00
01
10
10
01
00
00
10
10
10
10
10
01
00
00
00
10
10
10
01
00
10
10
10
10
00
11
00
10
00
01
00
00
11
10
10
00
00
10
00
00
11
10
01
01
10
10
00
01
10
10
10
00
00
01
10
10
00
00
01
11
11
01
10
00
10
00
10
01
00
11
01
00
10
00
00
00
10
11
00
01
00
11
00
10
00
01
11
11
00
00
10
11
01
10
00
00
11
01
00
01
10
10
00
00
10
00
01
00
11
10
00
11
01
10
00
01
10
00
01
10
11
00
10
00
01
10
10
00
11
10
00
00
01
10
01
00
11
00
11
10
01
00
00
11
10
00
00
10
10
00
11
11
10
00
01
10
10
10
01
00
10
10
00
10
11
01
00
11
11
10
11
00
00
11
00
00
10
10
00
00
01
11
11
00
01
00
01
11
10
00
00
01
00
00
11
01
10
11
00
01
11
00
00
10
11
01
10
10
10
10
00
01
01
00
10
00
10
11
00
10
10
10
00
10
10
11
10
00
01
00
10
00
00
10
10
00
00
00
10
01
00
00
11
10
11
10
01
00
10
00
00
10
11
10
11
10
00
00
00
01
00
00
11
10
10
10
10
00
00
10
00
00
10
11
10
01
10
10
10
10
00
10
00
00
11
00
11
00
11
10
10
11
00
10
10
10
00
00
10
00
10
10
11
11
00
00
10
11
00
10
00
10
11
11
11
11
01
10
00
00
10
10
00
00
11
10
10
00
00
00
11
00
11
00
10
11
10
01
00
00
10
00
10
11
00
00
01
01
11
10
11
00
00
10
00
10
01
01
11
11
10
01
01
01
10
01
00
11
00
00
00
10
01
01
10
10
11
10
00
01
10
00
01
10
10
11
01
10
01
10
10
10
10
10
01
00
11
00
00
10
11
10
00
00
00
00
11
10
10
00
10
10
10
01
11
10
01
11
01
10
10
10
10
11
01
00
11
11
00
00
01
00
00
00
11
10
00
00
10
10
10
01
01
01
00
11
11
00
00
00
01
10
10
01
00
10
10
10
00
00
11
10
11
00
11
00
10
11
10
01
00
10
10
01
00
10
01
00
00
01
00
00
01
10
00
01
01
10
10
10
10
10
00
00
00
10
11
00
10
10
01
10
11
01
00
10
00
10
00
00
00
01
10
10
10
10
01
10
00
00
00
10
00
01
11
01
11
10
11
11
10
00
00
10
10
10
01
10
01
00
11
10
11
10
01
11
10
10
01
00
11
00
00
01
10
00
00
10
01
01
11
10
11
11
01
00
10
10
10
01
10
10
00
10
10
00
00
10
00
01
01
10
11
11
11
00
10
10
00
11
11
10
00
00
00
00
11
10
01
11
10
10
10
00
00
10
11
10
00
00
00
00
11
11
00
10
01
10
01
11
10
01
00
10
10
01
01
10
00
10
10
00
01
10
10
00
00
10
11
01
00
00
10
10
01
00
00
10
01
00
00
00
00
10
11
00
10
00
11
11
00
00
10
10
00
10
00
00
11
10
00
00
11
00
11
11
10
01
01
11
01
00
10
11
10
11
00
00
11
01
00
00
10
10
10
00
00
00
10
00
11
00
10
10
11
01
01
11
01
11
10
00
11
00
00
00
10
10
11
00
10
10
01
11
00
10
00
11
10
10
00
00
00
00
00
11
10
10
01
01
00
11
11
11
00
10
10
00
00
01
01
11
11
00
11
10
11
00
10
10
00
00
11
00
00
00
11
10
10
00
10
10
10
10
10
11
11
01
11
00
00
11
00
00
01
10
10
11
00
00
00
10
10
01
00
01
00
10
11
01
01
11
10
00
10
10
10
01
00
10
10
00
10
01
10
10
00
10
10
11
01
11
10
10
00
00
10
00
00
10
01
00
10
10
11
10
01
00
11
10
10
01
00
11
10
10
11
00
00
10
11
10
00
00
11
11
00
10
10
01
01
10
01
10
00
00
11
00
01
10
11
00
10
10
00
10
10
01
00
10
10
10
00
00
00
10
00
00
10
01
10
10
10
00
10
11
10
00
10
00
10
11
01
00
00
11
00
10
00
11
11
11
00
01
00
10
01
00
00
10
10
00
01
10
01
10
00
01
11
00
11
00
00
01
00
11
00
01
11
10
01
11
10
01
01
11
10
10
11
00
10
00
00
01
11
10
00
10
00
10
11
01
10
00
11
10
01
00
10
10
10
10
01
10
01
10
10
10
01
10
10
01
01
00
10
10
00
00
10
10
10
00
10
00
10
11
01
10
00
00
10
10
00
00
10
11
00
01
10
11
10
11
00
10
10
01
10
10
10
00
01
01
00
10
00
10
01
10
11
01
00
10
10
01
11
01
01
10
00
10
11
10
00
10
10
11
00
10
10
10
00
00
11
01
10
00
00
00
01
10
10
10
00
10
00
01
00
00
01
11
10
01
01
00
11
00
00
01
11
10
10
00
10
10
00
00
00
10
10
11
01
10
11
01
00
10
01
01
11
10
00
00
10
11
00
10
00
01
01
10
00
01
11
11
00
00
10
11
00
00
00
01
10
11
10
11
11
10
01
00
11
10
10
00
00
11
10
00
00
00
00
11
11
01
01
00
00
00
11
00
00
11
10
01
00
01
01
10
10
00
10
00
01
00
11
10
00
10
10
00
01
00
10
10
11
00
11
10
00
00
10
11
10
11
01
11
10
10
00
10
10
00
00
11
10
11
10
00
00
00
11
11
00
00
10
00
10
00
00
10
11
10
00
00
01
11
00
11
11
00
10
01
01
00
10
10
10
00
10
01
01
10
00
00
00
11
11
10
01
00
00
00
11
01
01
11
10
10
00
10
10
01
00
11
01
10
10
00
01
11
10
01
00
11
11
01
00
10
11
10
01
00
01
00
10
00
11
00
01
10
10
00
10
11
11
10
01
01
00
01
10
00
01
10
10
10
00
10
00
00
10
01
10
10
10
00
00
10
00
00
00
11
10
10
10
00
00
10
01
11
00
10
01
00
11
11
11
00
00
10
11
10
10
10
00
01
00
11
11
00
10
11
00
10
00
01
10
01
10
01
10
11
10
01
00
10
10
00
00
00
10
10
00
00
11
10
00
00
00
00
00
10
10
01
10
10
11
00
11
10
01
10
10
00
00
00
00
11
10
01
11
01
11
01
00
00
10
10
10
00
01
11
10
11
01
11
01
01
10
00
10
11
10
00
10
11
01
10
11
00
00
11
10
00
00
00
10
11
11
11
00
00
10
00
01
10
00
01
10
10
11
00
10
11
10
00
01
10
00
01
11
00
00
00
11
10
00
00
11
00
11
10
10
00
00
11
01
11
10
01
01
00
00
01
01
10
01
11
11
10
10
10
01
00
10
00
01
00
11
00
10
00
00
10
01
10
10
10
00
00
00
10
00
10
10
00
00
11
00
11
11
10
00
01
10
00
01
10
10
10
00
00
11
00
10
01
00
10
10
00
00
10
10
01
00
00
00
01
11
11
10
10
00
10
11
10
10
01
01
10
00
10
10
00
01
10
10
01
00
10
00
01
01
00
10
11
00
00
11
10
00
11
11
10
10
11
00
00
10
00
00
00
01
10
10
11
00
11
00
00
10
00
01
01
00
11
10
11
00
01
11
00
01
11
00
01
01
10
10
01
00
10
00
10
10
11
01
00
00
01
10
00
10
00
10
11
00
11
10
11
10
11
11
01
01
10
01
10
10
00
10
10
00
00
10
11
00
00
10
11
00
10
00
00
11
10
10
11
00
10
10
00
01
00
11
10
10
00
10
11
00
01
11
00
01
11
10
10
10
00
01
10
10
00
01
11
10
10
01
11
10
10
10
01
01
00
10
11
00
00
10
10
00
00
00
00
11
10
10
01
10
10
10
00
00
00
01
10
00
01
10
00
10
10
00
11
11
01
10
00
10
10
11
01
10
10
01
11
00
01
10
11
10
01
00
00
00
11
10
10
10
10
00
00
10
00
10
11
10
00
10
00
11
10
01
11
10
01
11
11
00
10
10
01
10
10
01
00
10
10
00
00
10
11
00
00
00
10
01
01
10
10
11
00
10
00
00
00
01
10
10
10
11
10
11
11
00
00
00
00
10
00
11
10
01
01
00
10
10
00
01
01
00
10
00
10
01
01
10
11
11
00
01
10
10
00
00
10
10
10
00
11
01
00
11
00
01
00
11
11
00
00
11
00
01
10
00
00
10
10
10
11
00
10
01
00
11
11
10
01
01
00
10
01
00
10
00
10
10
00
00
00
00
11
10
11
11
10
00
00
10
11
11
01
01
10
10
00
10
10
11
00
00
11
01
00
01
11
11
10
00
11
11
00
01
11
00
00
00
11
10
00
00
00
10
01
01
11
01
01
11
00
01
10
11
00
01
11
00
00
11
00
00
00
11
10
00
10
01
00
00
01
01
11
10
10
10
11
00
10
10
00
00
10
10
01
00
10
11
10
11
10
11
00
10
00
00
10
10
00
01
10
10
10
00
00
10
10
01
10
10
00
10
00
00
01
10
10
10
01
00
10
11
10
11
10
00
01
10
11
10
10
01
10
10
00
10
00
10
00
10
10
00
10
10
00
01
00
10
00
00
00
10
01
00
10
00
11
00
01
10
10
11
10
01
11
01
00
00
10
01
10
10
11
01
00
11
10
00
00
10
00
10
10
00
00
01
00
10
00
10
10
11
00
10
00
01
10
10
10
11
01
11
00
10
00
10
11
00
11
10
10
10
00
01
01
00
10
10
10
10
01
00
00
00
11
10
10
00
11
10
00
10
11
10
10
00
10
00
00
10
10
00
01
11
10
00
01
00
01
00
11
10
00
10
11
00
00
01
00
10
00
00
10
10
00
00
10
10
10
10
00
01
00
00
10
10
00
00
00
01
00
11
10
10
10
11
11
01
10
10
01
10
11
00
00
10
00
00
11
01
00
10
10
10
11
11
00
01
10
10
10
01
00
11
10
10
01
00
10
10
11
10
10
00
01
10
11
10
00
00
10
01
00
00
10
11
11
11
00
10
10
11
00
01
00
10
10
00
10
00
00
10
11
00
11
01
10
11
10
10
10
10
00
10
01
00
10
00
01
00
11
10
10
00
10
00
00
10
11
11
01
01
10
00
10
11
00
01
10
11
00
10
10
01
10
01
01
11
01
11
01
11
10
01
01
11
01
11
10
10
00
01
00
10
10
01
00
10
10
11
01
00
00
10
01
00
10
00
11
10
01
00
10
11
11
10
00
01
10
10
01
10
00
10
00
01
00
01
10
01
00
00
00
00
10
10
10
01
01
11
10
10
10
00
10
11
00
00
11
00
10
10
00
10
00
00
10
00
10
11
00
10
10
10
10
01
00
00
00
11
01
10
10
11
10
11
00
00
10
10
10
00
00
11
10
10
11
00
01
00
00
00
00
10
00
10
10
01
11
00
01
10
10
00
01
01
01
01
11
10
01
01
00
00
10
11
01
00
11
11
10
01
01
01
11
10
01
11
01
00
10
11
00
00
10
01
11
00
10
10
00
10
01
01
01
01
00
10
10
00
00
10
01
10
11
11
00
00
00
01
00
00
10
10
11
00
00
01
01
10
01
00
11
00
00
10
11
00
01
00
10
00
01
00
11
00
11
01
10
10
01
10
11
10
01
00
11
01
01
11
10
00
00
10
10
11
00
01
00
11
01
10
11
10
00
10
10
01
01
01
11
10
00
10
10
00
00
01
11
11
00
10
11
10
00
01
10
10
11
00
00
00
11
10
01
11
10
11
00
10
10
10
00
10
10
01
01
01
00
00
10
10
00
00
00
10
10
00
00
00
10
11
00
01
10
00
00
01
00
11
10
11
11
10
00
00
10
10
11
00
01
00
11
11
00
10
10
10
00
10
10
01
00
01
00
11
01
01
10
10
00
00
00
10
10
00
10
00
10
00
10
10
01
01
10
10
00
00
10
10
11
01
01
11
10
00
00
00
00
00
10
10
01
10
00
00
00
10
01
10
10
10
10
10
00
01
01
00
00
00
01
01
00
10
10
11
10
01
10
00
00
11
10
11
00
00
11
10
01
10
01
00
00
10
10
10
00
11
10
10
11
00
00
01
00
10
10
00
00
01
10
10
01
00
00
00
10
00
11
00
11
10
00
11
11
11
11
10
11
11
10
10
10
01
00
00
10
00
10
11
00
00
10
00
10
10
01
10
10
01
00
11
00
00
00
00
11
01
00
01
01
00
00
11
00
01
01
11
10
10
00
10
01
01
10
11
00
00
00
01
00
10
11
00
11
10
10
10
11
01
11
10
00
10
10
11
10
10
00
00
10
00
00
10
10
00
00
01
00
11
11
01
00
00
10
10
10
00
00
10
10
00
00
10
00
10
01
00
10
00
00
10
11
00
00
10
10
00
00
11
10
00
00
10
00
01
11
10
11
11
01
00
10
00
00
10
10
11
01
00
11
11
11
00
10
10
00
10
10
01
00
00
10
00
11
10
10
01
00
00
11
10
01
10
00
10
01
00
01
00
11
10
10
00
10
10
00
10
10
00
00
00
10
10
01
11
00
10
10
10
11
00
01
10
00
00
00
01
01
00
01
00
10
10
00
01
10
11
10
01
01
00
00
11
10
10
00
11
01
10
00
00
01
10
11
00
10
10
01
11
00
00
10
01
10
11
00
01
11
00
10
00
00
00
00
00
01
00
11
01
10
01
10
10
00
01
10
10
00
01
10
10
10
10
11
10
00
00
11
00
11
10
00
11
00
01
11
10
10
00
11
00
11
01
01
00
11
00
01
10
01
10
10
00
00
10
10
10
00
00
01
10
00
00
11
00
10
10
01
01
11
11
01
01
00
11
11
10
10
00
01
10
11
00
10
01
01
11
01
10
10
11
00
10
00
00
10
10
01
00
11
11
01
00
00
00
11
11
00
10
00
10
10
11
10
01
00
11
10
00
00
10
01
11
01
10
11
01
10
00
00
00
10
10
01
01
11
10
00
10
11
01
10
00
11
11
01
00
00
11
10
00
01
11
10
00
11
10
10
10
00
10
01
01
00
00
00
11
00
10
00
01
01
10
00
00
11
00
00
11
10
10
10
00
00
00
10
10
10
11
00
00
00
10
10
00
00
00
10
01
11
10
01
00
00
00
00
11
10
00
10
01
11
01
11
10
00
01
01
00
10
10
10
00
10
10
00
01
01
00
01
11
11
10
10
00
10
01
10
10
00
10
10
10
10
00
01
00
10
00
00
11
10
11
00
01
10
01
00
01
01
01
01
10
11
11
10
00
01
10
01
11
11
00
00
10
10
10
00
10
00
11
01
00
00
00
01
11
01
11
10
00
00
10
11
00
00
10
10
00
10
11
01
01
10
10
11
10
10
00
00
00
11
10
11
01
01
10
11
01
00
00
10
10
01
00
11
11
11
10
01
01
11
00
01
00
00
10
11
10
00
01
10
00
00
00
00
11
01
00
00
10
00
01
10
01
00
01
10
11
00
00
10
10
10
10
00
01
10
01
00
10
01
01
00
10
10
01
10
01
10
10
10
00
10
00
00
10
00
01
11
11
00
00
00
00
00
11
10
01
00
10
10
01
10
01
10
10
11
11
01
00
01
11
10
00
00
11
10
11
01
00
00
11
00
10
00
10
00
00
10
10
11
00
11
01
10
00
10
01
11
10
00
00
11
10
00
10
00
11
11
11
10
00
11
11
01
00
10
10
00
00
01
10
10
00
01
00
11
10
10
10
00
00
10
10
00
11
11
00
00
11
00
01
10
10
00
01
10
10
00
01
10
10
10
01
11
00
00
10
10
10
10
11
00
01
11
01
01
00
01
10
10
00
00
11
10
01
00
10
00
10
10
01
11
10
01
00
11
10
00
00
11
00
01
11
10
01
00
10
00
01
10
01
10
10
00
00
00
10
00
00
10
00
00
11
01
10
11
11
00
00
11
01
10
10
00
10
10
00
10
00
00
00
00
10
00
10
10
01
11
11
11
01
10
11
00
11
01
01
10
10
00
00
00
00
00
10
10
10
10
01
00
11
11
11
10
00
00
10
00
01
10
10
00
00
10
10
00
00
10
10
11
10
11
10
00
10
10
01
00
11
10
10
01
10
00
10
00
01
10
00
11
00
01
00
00
10
10
10
00
00
11
00
11
00
01
11
00
10
11
00
00
01
11
00
11
10
00
10
00
01
10
11
00
01
00
10
10
10
00
00
00
10
11
01
10
10
11
00
00
00
10
00
10
11
01
10
00
00
11
10
00
00
11
10
00
10
10
01
00
00
10
10
11
00
00
00
00
01
10
10
11
01
10
11
00
11
00
10
00
00
11
10
10
00
10
01
11
10
00
00
11
11
01
10
10
00
10
01
00
00
11
11
00
00
10
10
10
00
01
00
01
10
00
10
11
10
11
00
00
00
00
10
11
11
11
10
00
10
10
00
00
10
10
10
01
01
10
10
00
00
10
10
00
01
00
01
11
11
00
10
11
11
11
01
00
10
01
10
10
10
01
01
11
11
00
00
11
01
01
10
11
01
01
11
01
11
01
10
00
00
11
10
01
00
10
01
00
10
01
00
10
11
00
10
00
10
00
10
00
00
10
11
10
00
00
10
10
00
11
10
11
11
00
11
10
00
10
00
00
00
10
10
01
01
01
00
11
11
01
10
10
00
00
00
11
11
10
00
01
10
10
01
10
11
01
01
10
00
00
10
10
00
01
10
00
00
10
10
10
01
00
11
00
00
00
00
10
10
01
00
11
01
11
10
10
00
00
10
01
10
10
00
00
10
10
00
01
00
10
00
01
11
01
00
10
00
00
10
11
00
00
00
10
10
11
01
01
10
11
10
00
11
10
10
00
01
00
11
00
10
11
01
11
00
10
01
00
11
10
00
00
10
11
10
00
00
10
11
00
10
01
10
01
01
00
01
10
10
11
10
00
10
11
01
01
00
10
00
00
11
10
00
11
10
01
00
01
10
11
00
10
01
00
01
10
10
00
00
10
01
10
11
00
01
00
10
10
00
01
00
11
10
00
10
10
10
01
01
11
10
00
10
10
10
10
01
00
10
00
01
10
00
11
10
01
00
01
00
10
00
00
01
10
00
00
00
10
11
10
00
11
10
01
11
10
01
01
11
00
10
01
10
10
00
10
10
10
00
01
01
10
01
10
10
00
10
10
11
00
00
00
00
10
00
10
10
11
11
00
10
10
10
10
00
00
01
01
10
10
11
00
10
01
11
10
00
00
01
00
10
00
01
10
11
00
10
11
11
00
00
10
10
11
00
10
10
01
00
10
00
11
10
01
11
01
00
00
01
00
11
10
01
01
10
11
00
00
10
00
11
00
01
10
00
00
10
00
01
10
10
10
00
10
11
01
10
10
00
10
00
00
00
00
11
00
00
10
01
11
10
10
10
00
01
11
00
00
00
00
11
10
00
00
01
10
10
00
00
00
10
00
11
01
00
11
00
01
11
01
10
00
00
00
01
10
00
10
11
00
00
10
10
00
10
11
00
01
00
11
11
10
10
10
01
00
01
10
11
00
01
10
11
00
01
00
10
10
00
00
10
10
00
00
01
10
10
00
00
00
10
10
10
11
00
01
11
01
10
10
01
00
10
11
01
00
11
00
01
10
11
01
10
00
00
00
10
10
00
10
10
00
00
10
10
01
10
01
00
01
10
00
01
11
10
00
00
10
10
10
00
00
01
10
01
10
01
10
00
01
00
10
10
11
10
01
00
11
01
00
00
00
01
00
10
10
00
00
00
00
10
01
11
10
10
11
00
10
00
00
01
00
10
10
00
00
00
10
10
00
00
10
01
01
01
01
10
00
00
00
00
00
11
10
01
00
11
11
00
00
10
10
01
00
10
01
00
00
01
11
10
00
00
11
01
00
11
00
01
01
10
11
01
00
11
01
00
10
10
10
10
10
00
00
00
01
01
10
00
01
11
10
00
00
00
01
11
11
00
10
00
11
10
00
00
10
11
10
10
01
10
10
00
01
01
00
10
10
10
11
10
01
10
00
00
10
00
10
10
01
01
11
11
01
10
11
10
10
01
01
00
10
10
01
10
10
11
00
10
10
00
00
00
10
10
00
01
11
01
11
00
10
10
10
10
01
01
11
10
00
10
11
11
01
01
11
10
10
00
00
00
11
00
00
11
00
10
01
10
00
10
11
00
10
11
10
00
11
10
01
11
10
01
11
00
10
00
10
00
00
10
10
10
10
00
00
00
01
01
00
10
00
11
10
00
10
01
11
11
00
10
10
00
00
10
11
01
01
00
00
00
10
00
00
10
01
10
00
10
10
10
10
00
10
01
01
00
00
01
11
10
01
00
10
00
11
00
00
10
10
10
01
00
10
10
01
01
00
10
10
00
00
00
00
10
01
10
00
10
11
10
10
10
00
00
11
11
00
11
11
00
00
11
10
10
10
01
00
10
01
00
01
10
00
10
00
01
00
00
10
00
10
10
01
01
00
01
00
11
10
01
01
10
10
01
00
00
00
10
10
01
00
10
10
10
00
01
11
00
00
10
01
01
01
00
10
01
11
10
11
00
01
00
00
11
10
10
00
00
11
11
01
11
10
10
00
00
10
01
00
11
11
00
00
01
00
11
10
10
11
11
00
01
01
11
00
01
00
10
00
00
10
11
10
00
10
10
10
00
00
10
00
10
00
10
11
00
00
00
00
01
10
01
10
00
10
00
00
11
11
00
00
11
10
10
00
10
10
01
00
11
11
10
10
10
01
11
00
00
01
11
11
01
11
11
00
00
11
01
01
10
10
11
11
00
11
10
00
01
10
10
00
00
10
10
10
01
00
00
00
00
00
11
00
10
00
00
10
11
00
00
00
10
01
11
00
00
00
11
01
11
10
00
10
10
11
10
00
00
10
11
00
10
10
01
01
10
01
01
11
11
10
01
01
11
10
10
00
00
00
10
11
00
00
10
11
00
00
11
10
01
00
11
11
10
00
01
00
11
00
00
10
00
10
10
01
00
10
11
00
10
00
00
00
01
00
11
10
10
01
00
10
10
10
00
00
10
10
10
00
10
10
10
10
00
00
00
11
10
11
10
10
00
10
01
00
01
10
10
00
10
11
00
10
10
11
11
01
01
00
00
01
10
11
00
00
10
10
00
10
00
00
00
00
10
10
01
00
11
10
10
00
10
10
01
11
10
11
10
11
11
10
00
10
01
10
10
00
10
00
10
11
11
00
10
11
10
00
11
00
00
01
10
11
10
10
01
00
11
11
10
00
00
01
11
10
01
10
10
00
01
00
10
11
01
00
11
10
10
00
01
10
10
10
00
10
11
00
01
10
10
00
00
01
11
10
00
01
10
00
11
00
11
00
11
10
10
00
00
00
00
11
10
10
11
00
00
00
00
00
11
00
00
10
11
10
10
01
00
00
11
10
10
10
10
00
11
01
00
11
01
10
10
10
00
00
00
10
10
10
10
00
00
00
11
00
10
00
11
10
11
10
01
11
00
00
00
10
10
10
00
10
10
01
00
10
11
00
11
10
01
00
10
10
00
01
11
11
11
10
01
00
11
00
01
10
00
00
11
10
10
00
00
10
00
00
10
00
00
10
10
10
01
00
11
11
10
01
00
10
10
11
01
00
11
11
01
00
00
11
00
11
10
00
11
00
00
11
10
00
10
10
10
10
00
11
00
01
10
00
01
10
10
10
00
00
10
00
00
00
10
00
00
10
11
10
10
10
10
01
10
11
00
10
10
00
10
10
10
00
00
10
11
10
10
01
11
10
11
11
00
01
11
10
10
00
01
00
01
10
01
10
01
10
10
11
01
11
10
01
00
00
01
01
10
11
00
10
10
00
10
00
01
10
10
01
10
00
00
11
10
00
00
10
00
00
00
10
01
11
00
10
10
00
00
10
00
00
10
10
01
10
00
00
10
00
10
00
10
00
00
00
10
01
00
00
00
00
11
11
01
11
10
11
11
11
01
10
10
01
00
10
10
00
00
11
00
11
01
00
11
10
10
00
11
10
10
00
00
11
10
11
00
01
00
00
00
11
10
10
10
00
00
10
00
00
10
10
10
10
10
11
10
00
00
01
00
11
10
11
10
10
01
01
00
10
10
00
00
10
11
00
01
10
01
01
01
11
10
01
01
00
10
00
00
10
10
00
10
01
00
01
10
00
00
01
10
10
10
00
01
10
00
10
10
01
00
11
10
00
00
00
01
11
11
00
10
11
00
11
10
01
01
01
00
10
00
10
00
00
10
11
00
01
00
01
11
11
10
01
00
11
01
11
10
00
00
10
10
01
00
10
11
01
01
10
00
00
10
01
00
11
10
00
10
01
00
11
01
00
00
01
10
10
10
00
01
10
01
01
11
01
01
11
10
10
01
00
10
10
00
10
10
10
10
00
11
01
10
11
11
10
00
10
00
00
00
00
10
00
01
10
11
01
00
00
00
00
10
10
00
00
00
10
11
01
10
10
01
10
01
10
00
00
11
10
10
01
10
00
01
00
00
00
10
11
01
10
10
01
10
11
00
10
01
01
01
10
00
00
10
01
00
00
00
00
10
10
11
11
00
00
11
00
01
10
01
10
11
11
10
00
00
10
11
10
00
01
01
10
00
01
10
00
00
00
00
00
10
11
00
00
11
10
10
10
10
00
00
00
11
10
01
01
10
10
00
11
00
11
10
00
10
01
10
00
00
01
11
11
10
00
10
00
00
01
10
10
01
00
10
00
00
10
00
11
10
01
00
00
01
00
10
10
00
01
01
00
00
00
10
10
10
10
00
00
10
10
00
10
10
00
10
10
10
10
10
10
01
01
10
01
10
01
00
01
00
11
10
00
00
10
00
00
00
10
10
00
11
10
00
10
00
00
11
01
00
01
01
00
10
01
11
10
01
00
11
11
10
11
00
00
00
10
10
10
00
00
00
10
10
10
11
11
00
10
00
00
00
10
11
00
10
01
00
00
00
11
01
00
10
10
01
00
11
10
00
00
00
00
10
01
00
11
01
11
01
11
10
10
00
00
10
10
00
11
01
11
11
00
01
00
01
01
00
10
11
00
10
10
01
10
00
01
01
00
10
00
10
11
00
10
01
01
01
10
10
10
10
10
00
11
11
01
10
10
10
01
00
00
00
10
10
00
00
00
11
11
00
01
11
11
10
10
00
01
10
10
11
10
10
00
10
00
11
00
00
10
00
10
00
00
10
00
01
10
00
00
10
10
01
01
11
10
10
00
00
11
00
11
10
11
10
10
11
01
01
10
11
00
11
00
10
10
00
00
10
10
00
00
00
00
10
00
01
10
10
00
10
00
00
00
11
10
10
00
00
00
01
11
01
10
10
00
10
01
00
10
11
10
10
00
01
10
01
01
11
00
10
01
01
01
00
10
01
00
00
10
10
10
00
10
00
10
11
00
00
10
00
00
10
10
00
00
00
11
00
10
10
11
10
00
01
00
11
01
10
11
11
10
00
10
11
00
00
00
00
10
10
11
11
10
01
11
10
00
10
10
10
10
00
11
00
01
00
01
10
10
01
00
10
10
10
00
10
00
10
11
11
11
00
00
11
01
00
00
10
01
11
10
00
00
00
01
11
11
00
11
11
00
11
11
00
10
10
01
00
00
11
01
11
10
01
10
01
10
10
01
10
10
00
10
00
00
00
10
00
00
00
00
11
10
00
00
11
10
00
10
11
10
11
00
00
00
10
11
01
01
11
10
00
00
00
10
11
10
00
10
10
10
01
00
11
01
10
10
00
11
10
01
00
00
01
00
11
10
00
01
10
10
10
00
01
10
00
01
10
10
11
01
00
10
10
00
11
10
10
11
10
11
11
10
00
11
00
10
10
01
00
01
10
10
10
10
10
00
00
10
10
01
00
11
01
10
10
00
10
00
10
10
11
00
01
01
01
01
11
10
10
10
01
00
10
00
00
10
10
10
00
00
10
01
01
11
01
00
10
10
10
11
01
10
10
00
01
11
10
01
10
11
10
10
00
01
10
10
10
00
11
00
00
00
10
00
00
00
11
10
00
10
11
10
10
00
00
01
11
10
00
00
01
01
00
00
11
00
00
11
10
10
00
10
10
01
01
01
11
00
10
00
00
11
10
01
00
10
11
10
10
01
01
10
01
00
11
10
00
00
10
10
00
01
10
00
01
00
01
11
01
10
11
11
00
00
10
00
10
00
00
00
10
00
10
11
01
10
00
10
10
10
10
10
00
10
10
10
00
01
11
11
00
00
01
10
10
10
01
01
10
10
10
00
00
00
01
10
10
10
00
10
00
10
01
10
10
01
00
11
00
00
10
00
00
00
10
01
10
00
00
11
11
00
10
11
10
11
10
01
00
10
11
01
00
11
10
01
01
10
10
00
00
11
10
00
00
00
10
00
01
11
11
00
11
10
11
10
00
10
10
00
01
00
11
10
10
00
10
00
00
01
10
10
01
00
10
00
10
10
00
11
11
10
01
01
10
01
10
10
00
00
10
01
01
11
00
01
11
11
01
01
11
10
00
01
00
00
00
10
11
10
10
00
10
11
10
00
10
00
00
01
00
11
00
11
10
10
10
00
01
10
11
00
00
10
00
11
10
10
00
00
10
01
11
10
10
10
11
10
10
00
10
00
00
10
11
01
10
10
10
10
01
10
10
01
00
01
10
11
01
10
00
00
11
00
01
10
01
00
11
10
11
10
10
10
00
00
11
00
11
00
11
11
11
10
00
00
11
10
00
00
10
10
10
00
10
01
00
10
10
00
01
01
11
10
01
10
00
10
01
00
11
10
00
10
01
01
11
01
00
01
00
10
00
00
10
10
10
00
00
10
00
01
11
00
00
11
01
01
11
10
11
10
01
00
10
11
11
10
00
00
10
10
01
00
10
00
01
11
11
00
00
00
11
00
01
00
10
00
10
01
10
11
01
00
11
00
00
00
10
10
11
00
01
00
11
00
10
11
00
10
10
10
01
00
11
00
01
10
00
00
10
00
01
10
10
00
01
10
00
01
11
00
10
11
00
10
10
11
11
11
10
11
10
00
10
00
00
10
10
10
00
10
10
10
00
10
01
01
10
00
00
00
01
10
00
11
10
10
00
00
10
10
10
00
01
10
11
10
00
11
01
00
00
00
10
11
01
00
10
10
10
10
10
01
00
11
01
01
10
11
01
10
10
00
00
10
00
10
10
01
01
10
10
00
11
00
01
11
11
10
11
10
00
01
11
10
00
10
11
00
10
00
00
01
01
00
11
11
00
01
00
10
11
00
00
00
01
11
10
00
10
11
01
01
10
00
01
00
00
00
10
11
00
01
00
10
00
11
00
00
10
11
00
00
00
10
11
01
00
10
00
01
01
00
11
00
10
00
10
10
00
11
00
10
01
11
01
11
10
00
00
00
10
00
11
11
11
01
10
00
00
10
10
00
00
11
11
00
11
00
00
10
10
00
00
01
11
11
01
10
00
00
10
11
01
01
10
10
10
01
00
10
00
00
10
00
00
00
10
10
10
01
00
11
00
10
00
00
10
11
10
00
11
10
00
01
01
10
10
10
01
01
10
11
00
00
11
11
10
10
10
00
00
10
01
00
00
10
00
10
01
01
10
10
10
00
00
00
10
10
00
00
10
00
11
10
10
00
01
10
00
01
11
01
00
00
10
10
00
00
01
10
10
01
00
01
01
01
01
00
10
01
00
10
00
00
10
00
10
10
00
10
10
00
10
00
00
10
01
10
00
10
01
11
00
11
00
01
10
01
00
11
10
00
10
11
10
00
00
10
10
00
01
00
01
11
01
01
00
00
10
11
00
00
11
10
00
00
10
01
10
00
00
10
10
10
10
11
10
00
11
00
01
11
10
01
10
00
00
10
01
00
10
10
01
11
10
10
00
01
00
01
10
11
00
00
10
00
00
10
10
10
00
10
10
00
11
11
00
00
00
10
11
01
10
10
00
10
10
10
00
00
10
01
10
10
11
00
10
10
10
00
10
11
00
11
10
10
10
00
01
00
01
10
00
00
10
00
01
00
10
10
00
11
10
00
01
11
10
01
10
01
11
11
00
10
00
00
11
10
01
01
10
11
10
11
10
01
00
10
11
00
10
11
10
01
10
00
00
11
01
00
11
10
00
01
11
10
10
01
01
11
10
00
00
01
01
01
00
10
11
10
11
10
10
01
10
00
11
10
01
10
10
10
10
00
10
10
01
11
11
01
11
00
10
00
00
01
11
10
10
00
00
10
10
11
00
00
10
00
10
10
01
01
00
10
01
10
10
00
00
00
11
10
00
10
11
10
01
01
10
11
10
01
00
00
01
00
01
10
00
10
10
00
11
00
11
10
00
10
00
00
00
10
10
01
10
10
01
10
10
00
01
10
11
00
00
10
00
10
10
10
10
11
10
00
00
10
10
10
00
00
00
11
01
00
01
00
11
00
01
00
00
01
01
10
10
00
00
01
10
00
11
11
10
10
10
00
01
10
10
01
01
10
00
00
00
00
10
10
00
10
11
00
11
11
00
00
01
10
00
11
11
11
11
10
10
11
10
10
00
11
10
01
00
01
00
10
10
01
00
10
00
00
01
00
00
00
10
11
10
10
00
01
00
00
10
10
11
00
10
11
01
00
11
10
10
10
10
00
00
10
10
11
00
11
10
10
00
10
00
11
11
01
10
00
10
11
00
00
10
10
00
00
01
10
01
01
11
10
01
10
11
11
00
11
10
00
10
10
01
11
00
10
10
01
11
01
10
01
10
00
10
10
00
01
10
00
00
10
00
10
00
10
11
00
01
00
01
10
01
10
10
00
10
10
00
00
10
10
00
00
01
11
10
01
10
00
00
00
11
01
10
10
00
01
10
01
10
11
10
00
00
01
11
11
01
01
11
11
00
11
10
00
01
10
01
00
10
01
10
00
01
11
11
10
01
11
00
10
10
00
00
11
11
10
10
00
01
00
11
10
00
10
00
00
10
10
00
00
00
10
01
01
11
01
11
10
01
10
10
11
00
00
10
00
01
01
01
10
00
00
10
10
01
00
10
10
10
10
10
10
00
10
10
01
10
01
01
10
00
10
01
00
10
00
10
00
10
10
01
00
00
11
00
11
10
00
11
11
00
01
00
11
01
10
11
11
10
01
00
00
10
11
00
00
10
11
01
00
00
00
11
10
10
11
00
00
01
00
10
00
00
11
10
00
00
00
00
00
10
11
11
10
01
01
11
00
00
00
00
11
11
01
00
10
00
01
11
10
11
00
11
00
10
10
11
10
10
00
01
11
00
01
10
10
00
10
00
00
00
10
10
00
00
01
10
00
00
10
00
00
11
00
01
10
00
00
10
11
01
11
00
00
10
11
11
01
10
10
01
00
10
10
01
00
00
00
11
00
00
00
01
00
10
01
00
10
10
10
01
10
01
10
11
00
00
10
10
11
00
00
10
10
00
10
10
00
11
00
01
10
00
10
00
01
10
00
00
10
11
10
10
00
01
00
00
10
10
01
00
01
10
10
00
01
10
10
10
00
00
00
10
00
01
00
11
01
01
10
11
00
01
00
10
10
01
11
10
10
01
10
00
00
11
00
11
11
01
10
10
00
11
10
00
00
01
11
10
00
10
01
10
10
11
10
11
01
10
01
01
11
11
01
00
10
10
01
11
10
00
00
00
10
00
01
11
10
10
10
10
01
10
01
00
10
10
00
10
10
10
00
00
10
00
11
00
00
00
01
10
10
10
00
01
10
01
10
10
11
01
11
10
10
10
11
10
00
00
10
11
00
00
10
00
11
10
10
01
00
00
10
00
00
10
10
00
10
11
01
01
10
10
10
11
01
00
10
10
11
00
10
01
00
00
10
00
11
01
00
00
00
10
00
10
10
00
10
10
01
10
01
00
00
11
10
11
10
10
00
00
10
11
11
10
11
10
00
00
00
11
10
11
10
01
11
00
01
11
10
00
00
00
10
10
01
00
10
11
00
10
00
10
10
10
11
10
10
00
10
10
00
00
00
00
11
11
11
10
01
11
11
01
00
10
10
10
00
00
01
00
00
11
11
11
10
10
11
10
10
00
01
11
00
00
10
10
11
00
00
01
00
01
01
00
11
01
01
10
11
00
11
10
00
01
11
00
01
00
10
00
00
10
01
00
00
00
01
10
01
01
10
11
11
01
00
00
00
10
00
01
10
10
00
01
00
10
10
10
11
10
11
01
00
10
11
10
00
10
01
10
10
00
10
10
10
01
11
01
01
01
00
10
01
10
00
00
10
01
01
10
10
01
10
10
11
00
11
01
00
10
01
10
00
10
00
10
11
01
11
11
01
00
10
11
10
00
00
10
11
00
00
01
10
11
10
11
10
11
00
01
10
10
10
10
00
10
01
00
00
00
10
00
10
11
01
01
11
10
11
11
01
01
01
00
01
00
11
01
00
11
11
10
00
01
11
00
01
11
01
10
00
01
11
11
10
00
01
11
00
00
00
10
10
11
00
10
10
00
01
10
01
01
11
01
10
00
00
00
00
01
11
10
10
01
00
00
11
11
00
00
00
01
10
10
10
00
00
10
10
00
00
10
01
11
10
00
10
11
01
10
10
00
00
01
00
10
11
10
10
10
11
00
10
00
10
10
00
10
00
01
00
00
11
01
10
10
10
00
10
10
00
00
00
00
11
00
00
10
10
01
10
10
10
10
11
10
10
11
10
10
10
01
00
00
10
10
00
00
11
00
10
10
01
00
10
11
01
00
00
00
10
00
10
10
01
00
10
00
00
00
10
11
10
00
00
00
00
01
10
10
10
11
10
01
01
11
00
01
10
11
11
00
01
10
10
01
10
11
01
00
11
11
00
11
00
11
01
00
10
10
10
01
11
10
00
00
01
01
11
11
00
00
01
00
00
00
11
11
00
00
00
00
10
10
00
10
11
01
11
01
11
00
00
10
11
01
10
11
00
00
00
00
10
00
00
10
00
00
10
10
10
01
00
00
00
00
00
00
11
11
10
00
10
11
00
10
10
11
10
00
00
01
11
11
00
11
01
10
00
11
10
00
00
10
00
00
00
10
00
00
01
00
00
01
01
11
01
10
01
10
10
10
11
00
10
01
00
00
01
11
10
01
00
01
01
10
10
10
00
00
00
00
00
10
10
11
10
01
01
00
00
00
10
01
10
11
10
10
01
00
10
11
00
00
10
00
00
10
10
10
11
00
00
10
11
11
11
01
11
01
10
10
00
01
11
11
00
10
10
01
10
10
11
00
01
00
10
10
00
00
00
10
01
01
11
00
10
00
10
00
10
10
00
10
10
01
10
00
10
11
01
10
10
00
00
01
00
11
10
00
00
00
01
01
10
11
10
10
00
00
00
10
10
01
11
10
11
00
10
00
01
11
01
11
11
11
11
10
01
10
10
01
01
01
10
00
10
00
01
10
01
00
00
00
00
10
11
01
00
11
10
10
10
11
10
00
01
11
00
10
10
00
00
11
01
01
10
10
01
11
01
00
01
10
00
00
10
11
10
10
00
00
11
10
00
00
10
11
10
11
00
11
10
00
00
10
00
10
01
01
10
10
01
00
10
10
10
01
00
00
11
10
10
00
00
11
11
00
00
10
11
10
01
00
10
11
00
10
10
01
00
01
10
10
11
00
01
00
01
10
00
10
10
00
00
11
01
00
00
00
01
10
10
10
11
00
11
00
01
00
10
00
00
01
10
11
00
00
11
10
00
01
01
10
11
11
01
00
10
10
10
11
00
00
10
11
00
00
10
00
10
00
00
10
00
00
10
00
00
11
11
10
11
00
00
10
11
10
00
01
11
11
01
11
00
00
01
10
01
11
00
00
00
10
10
00
00
00
01
10
00
10
10
00
10
10
10
00
00
10
10
11
00
00
01
00
10
00
10
10
11
11
10
11
00
00
11
10
00
10
10
00
10
00
11
00
01
10
10
10
10
10
10
01
01
10
00
01
10
01
10
00
00
10
10
00
11
00
00
00
00
10
00
00
10
11
00
10
01
10
10
01
01
00
00
11
10
00
01
11
10
11
00
00
00
00
10
11
10
01
00
00
10
11
00
01
00
00
10
10
00
00
11
10
00
11
10
00
10
00
10
10
10
00
10
11
10
00
00
10
10
11
10
01
00
01
00
10
10
00
00
11
01
00
01
11
00
10
10
11
01
10
10
00
00
00
10
11
00
01
10
00
00
10
11
01
01
11
00
01
01
01
10
00
01
10
11
00
11
00
00
10
10
10
10
01
01
10
10
01
10
10
11
00
00
00
10
00
00
00
11
10
10
00
00
10
01
10
10
00
11
00
00
11
00
01
01
00
11
00
01
11
11
10
11
00
11
00
01
10
11
00
00
00
11
01
11
00
00
00
10
10
00
01
10
10
10
10
10
10
00
01
01
10
00
11
11
10
00
10
00
01
10
11
10
00
10
10
00
00
11
00
01
00
11
00
01
01
10
10
01
00
00
10
10
10
01
10
11
10
01
10
10
01
01
00
01
01
10
10
10
11
01
10
11
10
11
01
01
11
11
11
00
10
00
00
10
10
00
00
11
01
10
01
10
10
01
11
00
11
11
00
01
10
00
00
11
10
10
00
10
10
11
00
00
00
10
10
10
00
11
00
11
00
11
00
10
00
10
00
01
00
00
10
10
10
10
10
10
10
10
10
10
10
10
01
10
11
01
00
00
10
00
00
10
11
10
11
01
10
10
11
00
00
00
10
00
00
10
10
00
10
01
10
01
00
10
10
10
11
01
00
10
01
10
00
00
10
10
00
00
10
10
10
10
00
10
11
10
10
00
01
11
01
01
11
00
11
01
00
01
00
11
11
01
00
00
11
10
10
10
01
00
10
11
10
00
10
11
01
10
11
00
10
00
10
00
00
00
10
10
00
00
01
01
10
01
01
11
00
00
10
11
10
00
01
10
11
10
00
01
00
00
10
10
00
10
00
00
00
11
10
11
10
00
10
11
00
10
00
00
01
10
10
10
01
11
11
00
01
00
11
11
00
01
10
11
00
01
00
10
11
00
10
10
00
10
10
10
10
11
10
11
10
11
11
01
01
11
10
00
00
00
00
00
10
00
10
10
00
10
11
00
00
10
10
00
00
00
00
11
00
11
00
01
10
01
10
10
00
01
01
11
10
00
11
10
00
00
01
10
10
11
10
00
10
10
01
10
10
10
00
00
11
00
00
00
01
11
10
01
00
10
10
10
10
01
11
00
00
10
11
01
10
10
00
00
00
11
11
01
00
11
10
10
00
11
10
10
01
00
10
10
10
11
00
01
01
10
11
00
10
11
01
01
00
00
00
00
00
00
00
10
10
00
01
00
10
00
11
11
01
01
01
10
10
00
10
01
10
01
00
10
10
10
10
00
00
10
00
00
00
00
10
10
00
00
10
00
00
10
11
11
00
00
00
01
10
01
00
10
10
01
01
01
11
10
01
10
00
00
00
10
01
00
11
10
00
00
00
10
10
00
00
01
01
00
11
11
10
10
00
00
00
00
11
10
10
10
10
00
11
11
10
10
00
00
00
11
11
00
11
10
00
00
10
10
10
11
01
00
11
10
01
10
00
11
01
01
11
00
00
00
00
00
10
10
00
10
10
01
00
10
11
10
00
00
00
10
11
11
01
10
10
11
00
00
11
00
00
00
01
10
10
00
11
11
10
00
01
00
10
00
11
11
01
00
00
10
10
01
11
10
00
00
00
11
10
10
00
01
01
10
00
00
01
01
00
10
11
00
00
10
10
00
01
10
10
11
00
10
10
00
01
10
10
10
10
00
01
11
10
00
01
10
10
10
01
01
10
10
00
00
11
00
01
10
10
00
10
01
11
10
00
11
01
11
10
00
11
10
00
01
10
11
00
01
00
10
00
10
10
00
11
11
10
00
11
11
00
11
00
11
11
10
01
01
00
11
10
00
10
10
00
00
01
10
11
10
11
00
11
11
00
10
11
10
10
10
00
00
01
00
10
10
10
10
11
10
00
10
00
01
01
00
11
01
11
00
01
10
00
01
01
10
00
01
11
11
11
00
01
10
10
10
11
00
00
01
11
11
00
10
11
11
00
00
11
00
00
11
11
10
00
00
01
01
11
10
11
00
11
00
11
00
00
00
10
01
10
10
00
11
00
10
10
01
10
10
11
00
00
11
11
00
10
11
01
01
10
11
10
01
01
01
00
01
11
11
01
10
10
00
11
10
00
01
10
00
11
10
10
11
00
11
10
00
00
10
10
01
11
10
00
11
10
11
10
01
00
11
10
00
10
01
10
00
10
10
10
01
11
11
00
00
00
00
10
11
10
00
01
00
10
10
11
00
01
11
11
00
00
10
01
00
00
11
10
00
01
00
00
00
00
00
10
11
11
11
11
10
01
00
00
10
00
00
10
00
10
00
10
11
10
11
00
01
10
10
11
11
00
00
10
10
10
11
00
01
11
00
11
01
11
00
00
10
01
10
10
00
01
10
10
10
11
10
01
10
00
11
11
10
00
00
11
10
01
00
00
11
10
00
00
10
10
01
11
10
10
00
10
10
10
00
10
01
00
10
10
10
01
00
11
01
10
00
11
01
00
10
10
11
10
00
01
00
10
11
00
10
00
00
00
01
10
10
10
10
00
10
00
00
10
00
00
00
00
10
00
10
10
01
01
10
00
00
11
10
00
10
10
00
01
00
01
11
10
00
10
00
00
11
10
11
00
00
10
10
10
10
10
00
10
01
00
10
00
00
01
00
10
11
10
11
10
10
01
00
10
01
11
00
10
10
00
01
10
11
10
00
01
11
01
00
10
10
10
10
10
11
00
01
10
01
01
10
00
11
11
01
00
10
11
01
11
00
10
00
10
10
00
10
10
01
11
10
10
01
00
00
10
00
10
11
11
01
01
00
00
11
00
00
10
10
00
11
11
01
10
10
10
10
11
00
10
10
01
10
10
01
01
00
11
00
00
11
10
10
10
10
00
00
00
11
01
10
11
10
11
11
00
11
10
00
01
00
11
00
10
10
00
10
00
01
01
01
01
01
00
10
01
01
10
01
00
10
11
10
01
00
10
10
11
01
11
00
00
10
10
00
01
10
10
11
01
00
00
01
00
00
00
00
10
11
00
10
00
00
00
01
10
00
11
10
01
10
00
00
10
00
10
01
01
10
11
01
10
11
00
00
10
10
01
00
10
00
00
00
11
10
01
10
11
00
10
01
00
00
10
00
11
10
00
00
10
11
10
00
00
00
10
11
10
10
10
10
00
00
01
01
01
10
00
00
01
10
10
00
00
10
10
00
11
10
11
00
10
00
01
10
10
00
10
00
01
10
00
01
10
01
11
01
00
11
10
00
00
00
01
11
10
11
11
00
11
10
10
00
00
11
10
11
00
00
10
10
00
01
10
11
00
00
00
00
00
10
01
00
01
00
00
10
00
11
10
10
00
10
11
00
00
10
01
11
10
01
00
00
10
11
10
10
10
00
01
00
00
10
11
10
10
00
10
00
00
11
00
00
00
11
11
01
00
01
01
11
00
11
11
01
00
01
10
01
01
11
10
00
00
10
00
00
01
11
10
10
11
00
00
11
11
01
00
10
00
00
10
01
01
10
00
00
10
10
11
00
01
01
11
10
00
00
00
10
10
01
11
11
00
00
10
10
00
11
00
00
11
10
01
00
11
10
10
00
00
00
11
00
00
00
11
10
01
11
01
00
11
01
00
10
10
11
10
00
10
11
01
10
00
00
11
00
01
11
11
01
10
10
10
01
00
00
10
10
10
11
00
00
00
11
10
00
10
10
00
11
11
01
10
10
00
10
10
11
11
01
00
00
10
00
01
00
10
10
00
01
00
10
01
10
01
00
10
01
11
11
01
10
10
10
11
01
00
01
11
00
01
11
01
11
10
01
00
00
01
00
11
01
10
10
01
00
11
00
00
00
11
10
00
01
10
10
10
00
10
11
01
00
10
01
11
00
00
11
01
11
00
00
00
01
10
11
00
01
10
01
11
00
00
10
00
00
00
10
10
00
11
01
00
10
10
11
00
01
10
00
10
10
00
10
00
00
11
10
10
00
01
01
01
10
00
10
10
11
10
00
00
00
11
10
01
01
00
10
10
11
00
10
10
01
01
00
01
10
01
00
10
00
10
10
01
01
10
10
00
11
01
10
10
01
01
00
11
10
10
11
11
01
00
10
10
00
10
00
11
10
11
10
01
00
10
00
00
11
00
10
11
10
00
00
01
10
10
00
00
10
11
11
10
10
10
01
00
11
11
10
00
00
01
10
10
00
01
01
11
10
01
10
01
01
00
10
10
01
10
10
00
00
00
00
11
00
10
10
00
10
01
00
10
00
00
11
00
10
10
10
11
10
11
01
01
10
00
00
01
00
11
11
00
00
00
00
00
00
10
10
00
10
11
00
00
10
10
00
11
01
10
11
01
00
00
11
10
00
01
10
01
01
00
10
10
01
10
11
01
01
10
01
10
10
00
01
11
10
11
00
00
11
11
00
10
10
00
00
10
10
11
01
10
10
10
10
00
10
11
11
10
00
00
10
00
00
00
00
11
00
10
00
00
01
01
00
11
11
00
01
01
10
11
00
10
00
10
10
00
00
00
00
10
10
00
00
10
00
00
01
00
00
10
10
00
00
01
10
10
11
10
00
00
00
00
00
01
00
11
01
01
11
10
00
00
11
10
10
11
00
01
00
10
11
11
10
10
01
00
00
10
00
11
00
01
00
01
11
01
00
10
00
11
11
10
00
01
10
10
00
00
10
11
01
01
10
10
11
01
00
11
10
01
00
10
00
00
11
11
00
10
11
00
10
01
01
00
10
11
10
10
10
10
01
11
11
01
11
00
11
11
00
01
10
10
00
00
10
00
00
00
10
11
00
00
00
10
00
01
10
10
00
10
00
11
00
10
11
01
11
00
00
01
00
11
10
00
00
00
11
10
00
01
10
10
11
11
00
01
10
10
11
00
01
10
11
00
10
10
10
01
10
11
00
00
01
00
00
10
10
00
00
11
01
11
01
11
01
00
01
10
11
10
10
10
00
01
01
00
10
10
00
00
11
11
10
01
00
10
01
10
00
11
00
00
00
10
10
10
00
00
11
00
10
00
00
11
11
11
01
00
10
01
10
10
01
01
11
00
10
10
00
01
00
00
01
10
10
00
10
11
01
00
00
00
10
10
00
00
11
00
00
10
11
10
00
00
00
10
00
10
10
01
00
00
10
10
01
00
00
01
11
00
10
01
01
00
11
10
00
00
10
00
11
11
11
11
00
00
10
01
01
00
11
01
00
00
00
01
11
00
00
01
01
00
11
10
11
01
00
11
10
00
00
01
11
01
00
11
10
01
00
10
00
00
10
01
01
11
10
00
00
00
10
01
01
10
00
00
00
10
10
00
10
10
00
11
11
10
10
10
11
01
00
10
11
00
00
01
10
10
00
10
11
10
01
00
00
00
10
10
00
11
11
00
01
01
00
11
10
10
01
00
00
11
10
00
10
00
11
00
10
10
10
00
11
11
00
01
11
00
01
10
11
01
10
10
10
00
00
10
11
10
10
10
00
10
10
00
10
10
00
10
10
10
00
00
00
11
10
00
01
01
10
01
01
11
11
00
00
00
10
10
10
00
10
10
00
10
00
01
10
00
00
10
01
00
11
10
11
00
11
00
10
10
01
01
11
10
00
10
01
00
10
11
01
10
01
01
01
00
10
10
00
11
10
00
00
10
00
10
10
11
10
10
00
00
11
11
00
10
11
00
00
10
10
10
10
11
00
11
10
11
11
00
01
10
11
00
11
10
10
00
01
10
01
01
00
01
10
01
00
00
11
10
01
10
11
00
00
11
10
00
01
01
10
11
00
01
10
10
00
11
00
00
11
10
00
00
11
11
01
10
10
10
00
11
00
00
10
00
00
00
10
11
00
00
01
00
11
01
10
10
10
10
01
01
10
00
10
10
11
11
01
10
00
00
10
10
00
11
10
10
11
00
10
00
01
01
10
10
01
00
11
10
10
10
00
01
00
00
10
00
00
00
10
10
11
00
11
00
10
10
00
10
10
10
00
00
01
10
10
00
11
00
10
00
11
00
01
11
00
10
10
00
00
10
10
11
00
11
10
00
10
10
00
00
00
00
00
11
11
11
00
10
00
10
11
00
10
11
10
11
00
11
00
01
10
11
00
00
00
10
00
00
11
11
11
00
00
11
01
10
10
00
01
10
00
10
10
10
01
01
00
00
11
10
01
10
10
01
01
10
00
00
10
10
00
10
10
00
00
10
11
10
00
00
00
10
11
00
01
10
10
10
00
10
10
00
10
10
00
00
00
10
00
00
00
10
10
10
01
01
01
10
00
00
10
10
11
01
11
10
00
00
10
01
10
11
00
00
10
10
00
00
11
11
01
10
01
00
11
10
10
10
00
10
11
00
01
00
10
11
01
00
11
10
00
11
00
10
00
01
11
10
11
01
10
11
00
00
11
00
00
00
11
10
00
00
00
00
01
10
00
01
10
11
10
01
11
11
10
11
10
10
00
00
00
10
10
00
10
01
01
00
00
01
11
10
10
11
10
00
01
00
00
11
00
01
00
01
10
10
10
00
00
10
00
00
01
10
11
10
01
10
10
10
11
11
00
00
10
00
11
01
10
11
10
00
10
10
00
10
00
00
00
01
10
01
01
00
00
00
10
11
00
10
00
00
10
11
10
10
00
10
10
10
10
10
00
11
00
00
00
00
10
10
11
00
01
10
01
11
00
11
00
11
11
00
11
00
10
11
10
01
00
10
10
01
10
00
11
10
01
10
00
00
01
00
10
10
00
11
00
00
11
11
00
01
10
10
10
00
11
10
00
00
01
00
10
00
11
00
00
10
01
11
10
10
00
00
11
00
10
00
01
10
11
10
01
10
01
10
01
10
10
10
00
00
00
10
11
00
01
11
00
11
10
01
10
01
00
10
10
01
10
10
00
00
11
10
11
10
10
00
00
10
01
00
01
10
00
01
10
11
01
10
11
00
00
01
01
11
11
11
00
10
10
01
01
10
10
00
10
01
10
00
11
10
01
10
01
00
00
00
10
10
01
01
11
00
10
01
00
00
10
00
00
00
10
00
01
10
10
00
00
10
11
10
11
10
00
11
00
01
10
01
00
00
10
11
11
00
11
10
10
00
10
01
01
10
11
00
00
10
11
00
11
00
01
00
00
10
00
10
11
00
00
10
10
01
00
10
01
00
00
10
01
11
10
10
00
01
00
10
10
11
00
00
01
00
00
10
10
01
10
10
11
00
11
01
10
00
11
00
10
10
01
11
10
10
00
10
10
00
00
01
01
10
10
00
10
01
10
00
10
10
11
10
00
00
00
10
00
00
10
10
00
00
01
11
10
01
00
01
01
11
00
00
10
00
10
10
10
01
11
00
10
10
00
00
00
01
00
10
01
00
00
10
01
00
00
01
00
10
00
01
10
01
00
01
00
00
00
10
01
01
01
10
10
00
10
01
11
10
01
10
00
00
00
00
11
11
01
10
00
10
10
00
00
10
10
01
10
01
00
00
00
10
10
01
11
11
01
11
11
00
00
10
00
10
11
00
01
00
00
00
11
00
00
10
10
10
10
10
00
01
10
10
10
01
01
01
00
01
10
11
10
00
11
10
00
00
00
01
00
01
10
01
10
10
10
11
11
00
00
10
00
01
10
11
00
00
00
00
11
00
01
10
11
10
10
10
01
10
10
01
10
10
10
11
00
00
00
00
01
01
10
11
00
11
10
11
00
00
00
10
10
00
10
11
00
10
11
11
00
11
01
10
11
10
01
10
11
00
10
01
10
10
01
00
10
00
11
10
01
01
01
00
00
01
10
10
00
01
10
10
01
10
01
10
00
00
11
11
10
00
00
00
10
01
00
00
01
11
10
10
11
10
00
00
00
10
00
01
00
00
00
01
10
10
10
11
11
11
00
00
01
11
11
00
00
10
11
01
01
10
11
01
01
01
11
10
10
01
01
10
10
00
10
10
00
10
10
10
10
00
00
10
10
10
01
10
11
11
01
10
11
10
00
10
10
00
10
00
00
10
01
00
11
11
10
01
01
00
01
11
00
01
10
10
10
01
11
00
10
11
00
10
10
00
01
11
11
11
11
10
10
00
01
00
10
10
01
01
00
11
00
10
00
01
10
10
11
00
00
11
11
01
11
11
10
10
01
00
00
11
10
00
10
10
00
01
10
01
00
11
00
10
00
10
10
00
00
01
00
11
10
01
10
00
01
10
00
00
01
01
01
10
00
11
10
01
10
10
10
00
11
11
00
00
10
00
10
01
10
10
10
10
01
01
10
00
00
01
00
00
10
01
10
11
10
00
10
00
11
10
01
00
11
10
10
11
01
10
00
01
10
00
10
00
00
11
01
11
00
00
11
00
00
11
10
00
00
00
00
10
10
10
10
01
00
11
10
11
01
11
10
11
00
00
11
10
00
10
11
00
10
11
11
01
00
10
01
01
00
00
00
10
10
10
11
00
01
10
10
10
00
00
01
00
10
11
10
00
10
10
00
00
10
10
00
01
10
10
10
00
10
11
01
00
11
00
10
01
01
10
10
00
10
01
11
00
01
00
11
11
01
10
01
10
10
10
00
00
10
01
01
01
10
00
10
10
00
10
10
00
00
10
11
00
10
01
10
01
10
01
11
01
10
11
00
00
01
11
00
10
00
00
10
00
10
11
11
01
10
11
10
10
01
00
01
11
10
01
00
10
00
00
11
00
01
10
10
00
11
11
00
10
11
10
00
10
00
00
10
10
10
11
10
10
01
10
01
00
10
00
10
11
01
00
01
10
10
11
10
10
10
10
00
00
00
11
00
01
00
00
10
01
10
11
01
00
10
00
10
10
11
00
00
00
01
10
10
10
00
11
00
10
00
10
11
00
11
00
01
10
00
01
11
01
00
11
11
10
10
00
00
10
00
00
10
00
10
10
10
11
01
00
10
00
11
11
11
10
01
00
00
00
00
11
10
10
01
01
00
00
00
10
01
10
10
00
10
10
00
00
10
01
00
10
10
10
01
10
11
00
01
00
10
01
10
11
00
11
11
11
11
01
00
00
00
00
11
10
00
00
00
00
10
10
10
10
00
00
00
01
00
00
00
00
00
10
01
10
00
00
01
10
01
00
11
10
01
10
10
10
01
00
00
10
10
10
10
01
10
00
00
10
00
10
10
10
01
10
00
10
10
01
10
00
10
00
00
11
01
00
00
10
10
00
00
00
10
10
00
00
01
00
01
00
10
00
10
00
10
11
00
00
10
10
11
00
11
10
00
00
10
10
11
01
11
10
10
00
10
11
10
11
00
00
01
10
11
10
10
00
00
00
00
10
11
01
01
10
01
00
00
01
00
10
10
10
10
01
01
10
00
01
10
10
10
01
00
00
10
10
00
10
11
10
11
01
00
11
00
01
11
00
00
10
10
11
00
01
01
10
00
10
10
10
11
10
11
10
10
00
01
00
11
00
00
01
01
00
00
10
11
00
11
10
10
00
00
10
00
10
01
00
11
00
10
10
00
11
00
11
10
11
01
10
01
00
00
11
01
00
10
11
10
10
11
01
00
11
10
01
10
11
01
11
10
01
11
10
10
00
00
11
00
10
10
10
01
00
10
11
10
00
00
01
10
11
00
10
10
00
10
10
10
00
01
00
10
00
01
00
11
11
10
10
00
01
00
00
00
00
10
00
10
01
11
10
10
10
00
11
10
00
01
10
00
01
01
10
01
10
01
00
10
01
00
00
11
01
11
10
00
00
00
10
11
10
01
10
01
01
00
00
10
11
00
10
00
01
00
00
01
01
10
01
00
10
00
01
11
10
00
00
10
01
01
11
00
01
00
10
00
10
11
00
10
10
01
11
11
00
01
10
01
11
00
00
10
00
01
11
11
01
01
11
00
00
00
10
11
10
11
00
01
00
01
10
11
00
01
10
10
00
00
11
11
11
00
00
10
00
10
11
00
00
11
00
10
10
01
00
00
10
10
00
01
10
10
10
01
10
00
10
01
11
01
01
10
00
10
11
00
01
10
10
00
10
10
00
10
10
00
00
00
10
00
01
10
10
11
00
10
11
00
00
11
01
11
00
00
11
10
00
10
10
10
11
00
00
10
10
01
00
10
00
00
10
10
01
00
10
00
00
11
10
10
00
10
11
10
00
10
11
00
11
00
10
11
01
11
10
00
00
00
00
00
10
10
10
00
01
00
11
00
10
01
00
00
10
10
00
00
10
10
11
01
10
00
00
01
10
00
10
00
00
01
10
11
01
00
10
00
10
00
11
00
11
10
10
11
10
11
00
11
00
10
11
00
00
01
10
10
00
00
01
10
10
00
10
10
00
01
10
11
11
01
00
10
00
00
00
10
10
01
00
11
00
10
01
00
11
10
10
11
00
01
10
00
00
10
10
00
01
11
00
11
10
01
10
00
00
00
10
10
01
10
11
00
10
11
00
00
10
00
01
00
10
10
10
00
00
10
10
00
01
00
10
11
10
00
01
11
11
11
10
11
10
01
10
01
00
01
10
11
01
01
01
11
10
00
01
10
01
00
10
11
10
11
10
11
00
10
10
10
11
10
00
00
00
11
00
11
11
01
01
01
00
10
01
00
10
10
00
00
00
10
11
10
10
10
01
10
00
11
00
10
11
10
01
01
00
01
01
10
10
00
10
10
01
11
00
00
10
00
10
10
00
01
10
10
00
00
10
10
10
10
00
10
00
01
10
00
11
10
10
11
00
00
11
01
00
01
00
11
11
00
10
00
00
11
00
01
01
11
01
10
00
00
00
10
10
11
00
01
11
10
10
10
01
00
01
11
10
00
00
00
00
00
00
10
00
00
10
11
00
00
00
00
11
11
00
00
11
10
01
00
10
10
10
00
00
10
11
01
00
01
01
00
00
10
10
01
01
10
10
00
00
10
10
00
10
01
10
10
10
10
00
10
00
10
10
00
00
00
10
00
01
10
11
10
00
00
00
00
00
01
10
10
00
01
01
11
10
01
00
10
00
00
10
10
00
00
10
10
01
00
01
11
10
00
00
10
10
11
00
00
00
01
11
01
10
00
00
10
01
00
10
10
00
10
00
00
01
10
01
11
00
10
11
00
10
10
01
11
10
01
10
10
10
01
01
00
00
10
00
00
11
10
11
10
00
01
11
11
00
10
10
00
00
10
11
00
00
10
11
00
00
00
00
00
01
11
01
00
00
00
10
10
11
00
00
00
11
00
00
01
01
01
10
11
01
10
11
01
00
10
11
00
01
00
11
00
01
00
11
01
10
01
01
10
10
00
00
11
10
01
11
10
00
11
11
00
10
10
00
00
01
10
11
00
00
00
11
01
00
10
10
00
11
01
00
00
10
11
00
00
00
00
10
10
00
01
00
00
10
01
10
01
10
10
11
10
01
00
00
10
10
10
00
01
10
10
00
10
00
00
01
10
10
00
00
00
00
10
11
10
00
10
01
10
00
00
00
10
10
00
00
00
00
10
01
01
10
10
10
10
10
00
10
11
00
00
00
10
01
10
00
11
00
00
00
10
10
01
10
11
11
01
01
10
00
01
01
11
10
11
00
11
10
01
01
11
00
00
11
11
00
01
10
11
10
11
00
01
00
10
00
10
01
00
11
01
00
00
11
10
00
10
10
10
01
01
10
00
10
10
10
01
00
01
10
11
10
01
00
01
00
11
11
00
00
11
00
00
00
00
10
01
11
10
10
00
10
11
01
01
01
10
00
10
10
10
00
10
11
00
01
11
10
10
01
10
11
01
00
00
01
10
11
10
00
00
00
10
11
00
00
00
01
01
11
10
00
00
10
10
00
10
10
10
00
11
10
00
01
10
00
00
00
11
11
11
10
10
10
01
10
00
10
11
00
10
11
00
10
11
01
00
11
01
00
00
10
10
11
10
01
01
10
10
10
00
00
10
01
11
01
01
00
10
01
10
10
10
00
01
11
11
00
00
10
11
10
00
00
11
10
00
10
10
01
00
01
00
00
00
10
10
11
00
00
00
10
11
10
10
10
10
01
01
11
10
10
00
11
10
01
11
10
10
10
00
00
01
11
11
00
00
10
00
11
00
00
10
00
00
11
00
01
11
10
01
11
10
01
10
00
10
01
00
10
11
00
01
00
00
00
00
00
10
01
10
01
10
10
01
11
10
00
00
10
10
01
10
00
00
01
11
00
00
01
11
11
11
11
00
10
00
11
00
10
11
01
00
00
10
10
00
01
00
00
11
11
11
00
11
00
00
10
00
10
11
00
10
00
00
10
10
11
01
00
00
00
11
10
01
10
00
00
10
00
11
10
01
00
00
10
01
01
11
11
10
01
10
01
00
10
10
01
00
01
00
10
10
10
10
10
10
00
11
00
11
10
00
01
00
10
10
01
00
00
11
10
11
01
11
01
00
01
00
10
10
11
00
01
11
10
01
01
00
00
00
11
00
11
11
00
00
01
11
11
11
00
10
11
01
10
01
00
10
10
00
11
00
00
10
11
00
00
10
10
00
10
00
10
10
00
01
10
10
00
11
10
00
00
10
10
01
11
10
11
10
00
00
00
10
00
01
10
00
00
11
00
11
10
11
00
10
00
11
11
00
00
10
10
11
10
00
00
10
10
00
00
10
11
11
10
11
11
10
01
01
00
11
10
00
10
11
00
11
10
00
10
10
00
00
00
10
00
00
01
01
10
11
10
11
10
00
01
11
00
11
00
00
00
10
10
00
10
11
00
01
10
00
01
10
10
10
10
00
00
11
10
01
00
11
01
10
00
01
00
10
11
10
11
10
00
00
11
00
01
10
00
00
11
11
10
10
00
00
10
10
01
11
01
00
10
11
00
01
00
01
10
11
10
01
01
00
10
10
00
01
10
00
00
10
10
01
10
10
01
00
10
10
10
00
00
00
00
00
11
10
10
10
11
01
11
10
10
00
11
10
01
10
10
00
00
00
11
00
00
11
10
01
00
01
10
10
10
10
01
00
10
11
01
00
01
01
10
00
10
10
10
10
01
00
00
10
10
11
00
10
11
11
00
00
00
00
00
10
10
10
10
01
00
10
11
00
10
10
11
10
01
01
00
01
00
10
10
00
00
00
00
11
10
11
10
00
10
01
00
01
10
11
00
00
10
10
11
01
10
10
01
11
11
01
01
00
01
00
10
10
10
10
00
10
11
00
11
10
00
10
01
00
11
10
00
00
00
10
00
11
11
01
11
01
01
00
00
00
00
10
00
00
11
10
10
10
00
10
10
10
00
10
10
00
00
00
11
00
00
10
01
00
01
00
00
10
00
00
11
10
00
10
11
10
00
10
00
10
00
10
10
01
00
11
01
00
11
10
10
00
00
00
11
00
00
10
10
00
10
00
00
10
10
11
01
10
10
00
11
11
11
01
01
00
10
00
00
00
11
10
00
10
10
01
10
00
10
00
00
00
10
10
11
00
00
00
00
10
01
00
00
10
10
10
01
10
11
00
01
10
11
00
01
01
10
01
00
10
00
10
10
00
01
10
10
01
11
11
01
00
01
10
10
00
01
10
10
11
00
10
01
01
00
00
11
11
11
00
10
00
10
00
10
00
00
01
10
11
10
10
11
10
10
10
00
00
11
01
10
11
00
00
00
00
11
10
00
10
00
01
01
00
11
01
10
00
11
10
00
00
11
01
01
00
11
01
00
11
01
10
10
00
00
00
10
01
11
10
10
10
00
10
10
00
00
10
10
10
10
00
01
10
10
00
11
01
01
00
10
10
10
10
00
10
10
11
00
00
00
00
00
00
10
10
10
00
00
10
10
11
10
00
11
01
10
10
00
00
10
10
00
01
10
10
10
00
10
00
01
11
00
01
10
11
11
11
00
00
11
11
10
01
00
11
11
00
01
01
00
11
01
11
10
10
00
10
00
01
10
10
00
00
10
10
10
00
01
11
00
01
01
11
10
11
01
10
10
00
00
10
10
11
00
00
00
10
00
10
00
00
11
11
01
00
01
01
10
11
10
10
10
10
00
10
00
00
00
00
10
00
11
00
00
11
10
11
00
00
11
10
11
10
11
00
00
10
10
11
11
11
00
10
11
01
10
00
00
01
10
00
10
10
10
00
11
01
11
10
00
10
10
01
00
00
10
00
00
10
01
10
00
01
01
10
10
00
10
11
01
01
10
10
00
00
10
11
00
01
01
10
00
10
10
10
00
00
01
10
11
11
01
11
00
00
10
11
01
00
10
10
10
00
01
10
11
01
10
11
10
01
10
10
01
01
10
10
10
01
10
00
10
11
11
00
00
01
10
01
00
11
01
11
00
10
10
01
11
10
10
10
10
00
10
11
10
01
10
10
10
00
00
00
10
11
00
01
11
10
00
10
10
00
11
11
10
01
10
00
01
00
10
10
00
01
10
10
11
01
11
11
00
11
00
11
10
00
00
10
10
00
01
00
11
00
00
11
00
00
11
11
00
10
11
10
01
00
01
11
00
01
11
01
11
01
00
00
11
10
10
01
10
11
10
00
00
10
10
11
10
00
00
00
11
10
00
00
01
00
00
00
10
01
01
10
00
01
11
11
10
10
01
00
01
11
00
00
00
10
10
00
10
10
00
01
11
11
11
11
00
00
11
01
01
01
10
11
10
00
00
10
10
10
00
00
00
10
00
11
00
00
10
00
01
10
10
10
00
11
00
10
10
01
00
01
00
00
00
10
00
10
00
00
01
00
10
10
00
01
00
10
11
10
11
00
01
11
00
00
10
11
00
01
10
10
00
01
10
01
10
00
01
10
01
11
10
10
00
00
00
00
00
01
00
10
10
11
00
00
10
10
10
11
01
01
01
00
10
11
01
01
10
11
11
00
01
01
00
11
00
10
01
00
10
00
00
10
01
00
00
00
10
00
00
10
11
00
01
01
11
10
10
10
10
01
00
00
10
10
01
10
11
00
00
00
10
11
11
00
11
00
00
00
10
10
00
00
00
01
11
00
01
10
11
00
00
00
10
11
00
00
00
10
10
00
10
00
00
01
00
11
10
11
11
10
00
00
00
11
00
10
10
00
10
11
01
10
10
00
10
01
00
01
10
10
00
10
10
10
10
01
10
10
00
10
00
01
01
11
10
00
11
00
00
10
00
00
01
10
10
00
00
10
00
10
10
11
10
01
01
00
10
11
00
11
11
01
10
10
00
01
01
11
10
00
00
01
10
10
00
01
10
00
00
10
10
10
10
01
10
00
10
00
00
00
00
00
10
00
00
11
11
00
10
10
00
10
10
00
10
01
00
10
10
11
01
00
11
01
10
01
10
10
00
00
00
10
11
00
00
01
00
00
01
01
00
00
00
10
10
10
10
00
01
10
01
01
01
10
01
10
10
11
00
00
10
11
01
00
00
00
10
01
10
10
01
10
10
00
00
10
00
01
10
01
00
01
00
00
00
11
01
10
10
00
11
10
10
10
00
00
11
01
10
11
10
10
00
00
01
00
10
10
00
00
00
11
10
01
11
00
11
11
10
10
10
00
11
10
00
11
00
00
00
10
10
00
01
00
11
10
11
10
00
10
01
10
10
01
00
00
01
10
11
11
01
00
01
00
10
10
01
00
00
00
11
10
10
11
00
00
10
10
00
01
11
11
01
00
11
10
11
01
00
11
10
11
00
01
10
11
00
01
00
00
10
10
10
00
00
10
00
11
00
10
00
11
10
00
10
01
00
10
00
01
10
10
00
00
11
01
10
10
00
01
01
01
00
00
10
10
00
01
10
11
00
10
10
10
10
10
10
01
11
01
10
00
01
10
11
10
10
00
00
10
10
11
01
10
10
11
11
10
00
00
01
10
00
01
10
11
10
10
10
10
00
10
11
10
11
00
00
00
10
11
01
10
10
00
10
00
00
10
01
10
01
01
10
10
01
00
10
01
01
11
10
11
01
11
10
00
10
10
10
01
10
00
01
01
11
00
10
10
00
11
10
10
00
00
10
11
11
01
11
10
00
00
01
00
10
11
00
10
10
10
01
10
10
00
10
10
00
11
10
00
00
00
00
11
00
10
10
00
11
11
11
10
00
00
10
10
00
10
10
10
01
10
01
11
10
00
10
00
00
11
10
01
00
10
00
00
01
10
00
00
00
10
11
00
01
01
11
10
00
10
01
11
10
00
00
10
10
11
10
00
11
10
11
00
01
00
01
10
00
10
10
01
00
10
10
01
01
01
11
11
00
10
10
00
10
11
10
00
01
10
00
11
00
01
10
11
00
11
10
00
10
11
10
11
00
10
10
01
01
00
10
10
00
01
10
11
00
10
01
01
10
10
11
00
00
01
10
11
11
10
00
01
11
10
01
00
10
00
11
01
01
10
10
10
01
00
01
10
10
10
00
10
10
00
00
10
11
00
00
10
00
00
00
11
11
10
01
11
00
11
00
10
10
01
00
10
10
00
11
00
10
00
10
00
10
10
00
11
00
10
00
11
00
10
10
00
10
11
00
00
00
00
10
11
00
11
00
11
00
00
10
00
10
00
11
10
11
10
10
10
00
11
11
01
00
10
11
01
01
00
10
00
10
11
00
10
10
10
00
01
00
10
01
10
10
11
00
10
00
00
00
00
10
00
01
01
10
10
10
00
10
10
10
10
10
01
00
01
00
10
00
11
00
00
11
11
01
00
10
10
11
00
00
01
11
00
00
10
10
01
11
10
01
00
11
00
01
10
10
01
00
10
10
10
10
01
01
00
00
10
01
10
10
01
00
10
01
10
10
10
11
10
01
01
01
01
10
01
01
00
10
10
10
10
01
00
10
10
11
11
10
00
00
00
00
10
10
10
11
11
11
10
00
01
01
01
01
00
00
10
00
00
01
10
10
01
00
01
10
10
10
00
00
10
00
00
11
10
01
11
00
01
01
00
11
10
00
11
10
00
00
10
10
00
10
10
00
00
00
10
11
00
01
10
10
00
00
10
11
10
01
00
11
10
10
10
10
00
10
10
00
01
01
11
00
00
10
11
11
00
10
00
00
00
00
01
11
10
01
10
00
10
00
00
00
10
10
10
00
11
00
01
10
01
11
11
11
11
01
10
01
01
10
00
00
00
00
00
10
00
10
10
10
00
11
11
00
00
10
00
01
11
01
10
10
01
10
01
11
00
01
11
10
11
11
00
00
00
00
11
10
00
11
11
10
11
01
00
00
01
11
11
10
10
00
10
10
01
11
10
00
11
00
10
01
00
11
00
00
11
11
10
10
11
00
10
11
11
00
00
11
00
10
01
01
10
11
00
10
10
00
11
10
00
01
00
10
01
00
11
10
00
01
01
10
00
00
10
10
10
01
00
00
00
11
00
00
10
11
00
10
01
10
01
00
00
00
00
10
10
01
10
00
10
11
01
10
00
00
11
00
10
10
11
00
00
00
10
01
00
00
01
10
10
00
00
01
11
01
11
10
00
00
10
00
10
10
00
10
10
10
01
10
10
10
00
10
00
01
10
00
01
10
01
00
10
10
10
00
11
10
00
00
10
10
11
01
11
10
00
00
00
01
10
10
10
10
10
00
01
10
00
10
10
01
00
01
10
01
00
00
00
11
10
00
00
11
00
11
10
01
00
00
11
00
10
10
00
11
01
00
00
10
11
10
00
10
11
01
11
11
10
10
10
00
00
10
10
10
10
00
00
01
11
11
01
10
11
11
10
01
01
10
10
01
00
00
01
11
10
01
01
01
10
10
11
10
01
10
00
00
01
11
00
10
11
00
01
00
01
11
10
11
01
01
10
10
00
01
10
00
10
00
10
11
00
10
00
10
10
10
10
00
00
10
10
10
10
00
11
00
00
11
00
00
10
10
00
00
10
00
01
01
00
01
11
10
00
00
10
10
10
10
01
00
11
11
10
00
11
00
11
10
10
01
10
10
00
10
01
00
10
01
10
00
10
10
00
11
10
00
00
11
10
01
01
10
11
11
10
11
00
01
10
10
11
11
00
10
10
00
00
11
01
10
11
00
00
00
00
10
10
10
11
00
10
10
11
10
00
00
10
00
00
00
10
11
00
01
00
10
11
11
01
10
10
01
10
01
01
10
11
10
10
00
10
01
00
01
10
00
00
10
10
10
01
01
10
11
00
10
11
10
10
11
10
10
10
01
10
10
00
11
10
10
10
10
00
10
10
00
01
10
11
00
10
10
00
10
10
10
01
10
10
10
00
10
10
10
10
01
10
10
10
10
00
00
11
10
00
10
00
01
11
10
10
00
00
00
10
01
10
10
00
00
00
10
11
01
00
10
11
00
11
10
00
11
11
11
01
11
10
11
00
11
01
01
10
10
00
01
10
10
00
01
00
01
00
10
10
01
00
10
10
00
10
11
00
01
10
11
10
00
10
00
10
10
00
00
11
10
00
00
11
00
00
00
10
10
01
01
00
01
10
00
10
10
00
10
10
00
01
10
00
00
00
11
01
11
10
00
10
11
00
10
00
00
10
11
00
00
11
10
01
10
01
10
01
00
01
00
10
11
01
00
10
00
00
10
10
00
00
10
10
11
00
00
10
00
11
00
11
11
10
00
11
01
00
01
10
01
00
10
10
10
10
01
01
11
01
10
01
00
11
11
01
00
11
10
11
00
01
10
10
10
00
11
00
00
10
01
10
11
11
00
11
11
00
00
11
11
10
10
01
00
00
10
11
10
01
00
10
10
01
10
01
00
11
00
11
01
01
11
00
00
00
00
10
10
11
00
00
11
10
10
00
10
11
10
00
00
10
01
00
00
00
10
10
10
11
00
11
10
10
10
00
10
10
11
10
00
00
10
00
11
00
10
00
01
10
10
10
00
10
00
11
00
00
10
11
10
10
00
00
00
00
10
10
00
11
01
10
10
00
00
00
10
11
01
00
10
00
10
10
10
01
01
10
10
11
00
10
10
11
01
00
00
01
11
00
00
01
11
01
11
10
01
11
00
00
00
11
10
01
00
10
00
00
00
10
10
00
10
00
01
00
00
11
01
10
00
01
10
11
11
01
10
00
00
10
00
00
01
00
10
10
10
10
01
11
10
10
11
01
01
00
10
11
01
11
10
00
10
01
00
00
00
11
10
01
10
10
01
10
00
11
00
11
11
10
10
11
10
10
00
01
11
10
01
10
00
10
10
00
00
01
11
11
11
00
01
11
01
00
10
11
10
11
01
00
01
11
10
00
01
11
10
10
10
00
01
00
00
00
01
10
00
11
10
10
00
00
00
10
00
10
10
11
00
11
00
01
10
10
00
10
00
10
10
11
10
00
00
10
00
00
01
00
11
01
01
01
11
00
01
10
10
10
01
00
10
00
01
00
01
10
00
00
00
00
00
10
11
00
00
10
01
10
00
00
10
11
00
01
10
01
00
01
10
00
01
11
10
11
00
01
00
00
10
10
00
01
00
00
10
00
10
00
00
10
11
11
00
10
00
00
10
01
11
00
11
10
01
10
10
10
10
10
00
10
10
11
10
10
10
11
00
01
00
00
11
00
01
11
11
01
10
10
10
11
00
00
10
10
01
00
11
01
10
10
01
01
11
11
00
01
11
10
10
10
10
00
01
01
10
10
10
00
10
01
01
01
11
11
10
01
00
10
01
01
10
00
00
00
10
10
00
10
10
00
00
01
10
11
01
00
01
00
11
10
10
01
11
10
10
11
00
10
00
10
10
11
10
00
00
10
00
00
00
00
10
10
00
01
00
00
11
10
00
00
01
10
01
00
01
01
00
01
10
11
00
00
11
11
00
00
00
11
10
10
00
01
00
00
00
11
10
01
10
10
00
10
10
00
11
10
00
01
10
10
00
00
10
11
01
01
11
11
01
00
10
00
00
10
10
01
00
11
00
00
10
00
11
10
01
00
00
10
11
10
10
11
00
11
11
00
00
11
10
00
10
10
01
01
11
00
11
10
10
01
00
01
11
10
00
01
01
11
00
00
10
00
01
11
10
00
10
01
01
11
01
11
10
10
10
00
01
01
10
10
10
10
00
00
10
10
10
01
01
00
00
01
00
11
00
11
00
01
10
10
00
01
10
10
01
01
01
11
10
01
10
10
10
10
10
10
00
01
00
11
00
10
11
10
10
00
00
10
11
01
10
10
00
00
00
01
00
10
10
11
00
00
00
10
10
10
11
00
00
11
00
10
01
10
10
10
00
10
10
10
01
00
00
11
10
11
10
01
10
10
00
10
10
10
10
00
10
10
10
10
00
10
10
00
11
11
00
01
01
10
11
00
01
01
00
10
11
01
10
11
00
00
11
10
11
01
00
10
10
10
00
00
10
00
11
00
00
10
10
01
10
01
00
10
01
00
00
10
10
01
11
10
00
11
10
11
10
01
00
01
10
10
10
01
00
10
00
00
00
00
00
10
10
10
00
10
00
10
10
00
00
00
11
00
10
10
11
00
00
11
01
10
10
10
01
00
00
11
11
11
10
01
01
11
11
10
01
00
11
10
00
00
10
10
00
00
10
10
10
01
00
00
01
00
10
11
11
00
11
00
00
00
10
00
10
10
00
10
10
11
11
10
10
10
00
10
10
01
10
00
00
10
00
00
00
11
01
10
00
11
01
11
10
00
01
11
01
01
10
10
00
11
10
11
00
00
11
00
01
01
00
10
10
01
10
00
00
10
10
10
11
00
00
11
10
10
10
01
10
11
00
00
00
11
00
11
10
01
11
11
00
10
01
01
10
01
00
10
10
10
10
00
00
00
11
00
11
00
01
10
11
10
10
00
00
00
01
10
10
00
01
01
01
10
00
01
10
10
01
01
10
00
01
00
01
00
11
10
10
10
11
10
00
00
00
01
00
01
10
11
01
11
00
10
00
00
11
01
11
10
10
10
01
11
11
10
00
10
10
10
10
00
11
01
01
00
10
01
01
01
10
10
00
00
10
01
00
10
10
10
01
10
10
00
00
10
10
11
01
00
01
10
00
10
01
10
11
11
10
10
11
10
11
01
01
00
00
00
11
01
00
10
10
11
01
00
00
00
10
10
00
00
10
10
01
01
00
10
10
01
00
00
10
11
00
01
00
01
10
00
10
10
11
00
00
00
00
10
00
10
10
10
11
00
00
10
11
10
00
01
10
01
00
10
10
01
10
10
00
00
10
10
00
00
10
10
00
00
10
10
10
00
01
01
00
01
00
00
00
10
10
11
01
01
11
11
00
10
00
11
10
00
01
01
00
10
01
00
10
00
00
00
10
10
01
00
00
10
10
01
10
10
10
00
01
10
00
10
11
11
11
11
01
00
00
01
11
00
01
10
10
10
00
00
00
00
10
10
00
10
10
01
00
01
01
00
01
00
10
10
00
00
01
00
10
10
01
10
00
10
10
11
01
01
10
01
00
10
10
00
10
10
10
00
00
00
11
01
01
10
00
01
10
10
11
01
00
11
00
00
11
10
11
00
10
11
10
10
00
00
00
10
11
00
10
10
10
10
10
00
01
01
10
00
01
11
11
10
01
11
00
00
11
00
00
00
11
11
00
11
10
10
10
00
01
00
10
11
10
10
10
00
01
11
00
11
00
00
01
10
10
10
00
00
11
00
01
10
10
01
00
00
10
00
10
01
10
11
01
00
10
10
00
00
00
11
11
00
00
10
10
00
11
10
01
10
01
10
00
01
01
10
11
00
10
11
00
10
00
01
10
01
00
01
10
00
00
10
10
00
10
01
10
11
00
10
10
11
00
10
01
00
00
11
00
10
00
01
10
00
10
00
00
10
10
01
10
01
00
00
01
00
11
11
10
00
10
00
00
01
10
10
11
10
10
10
00
01
11
10
00
01
10
11
00
01
11
00
00
00
10
11
00
00
10
10
01
01
11
00
10
10
00
10
00
01
00
11
10
10
10
11
10
01
10
00
10
01
10
10
11
10
01
01
11
10
00
11
10
10
00
00
10
11
10
01
10
00
01
10
00
10
10
00
00
00
10
00
00
11
10
10
00
00
11
00
11
10
00
01
11
11
00
00
11
11
01
00
00
10
00
10
11
10
01
00
01
01
10
00
10
01
11
00
00
00
10
10
11
10
01
00
10
10
10
01
01
11
11
11
01
00
11
10
01
01
10
01
10
01
00
11
00
10
10
01
00
01
10
10
10
00
10
10
11
00
11
00
11
11
00
00
10
00
00
11
00
00
11
11
10
00
01
01
11
10
10
11
11
00
10
10
00
10
00
10
10
10
00
01
10
10
00
00
00
11
10
00
10
00
11
10
00
10
11
11
10
10
01
00
01
00
11
00
11
10
00
10
00
10
10
10
10
00
00
01
10
01
01
01
11
10
01
01
01
00
11
10
00
01
10
11
00
00
10
10
00
01
00
10
00
00
10
00
10
00
10
11
10
00
10
10
00
01
00
10
00
00
01
00
00
10
00
10
00
00
10
10
10
10
01
00
11
01
00
01
10
10
00
11
10
00
11
10
11
11
00
10
10
11
01
10
11
00
00
10
10
00
00
10
10
10
00
01
01
10
00
00
00
10
10
10
11
00
00
00
00
10
11
10
00
10
10
00
00
00
00
00
10
10
00
00
11
11
00
00
10
10
10
00
00
10
00
00
10
11
10
01
10
11
00
11
11
10
01
00
10
01
10
10
00
01
10
00
01
10
00
00
11
00
11
01
10
10
00
00
00
10
10
01
10
01
00
01
11
01
01
10
10
00
10
10
01
11
10
00
00
10
01
10
11
00
00
10
00
10
11
10
00
10
01
01
00
11
10
11
01
11
00
11
10
01
01
11
00
00
00
00
00
10
10
01
01
00
10
11
10
10
00
00
11
10
11
11
10
00
01
10
10
01
00
10
00
00
00
00
10
10
10
00
00
01
10
00
00
10
11
01
10
10
10
01
00
10
00
01
00
00
00
11
00
00
10
10
00
10
10
00
00
10
11
00
11
10
11
01
00
11
11
10
00
10
00
10
00
10
11
10
10
00
10
11
11
11
01
01
10
11
10
00
01
10
11
01
00
00
00
11
11
11
01
00
10
00
01
10
01
01
00
00
11
10
00
00
10
01
01
10
10
01
00
11
11
10
11
10
00
11
00
01
11
11
01
00
00
00
01
00
01
10
00
00
11
00
10
11
00
11
00
00
10
01
10
00
00
11
10
00
00
00
11
10
10
00
10
11
00
11
01
11
11
11
00
00
01
11
10
00
00
10
00
01
10
10
01
01
00
11
00
00
10
10
10
11
00
01
01
10
00
10
00
01
00
00
11
10
01
10
10
00
01
00
10
11
00
00
00
10
10
10
00
01
10
11
11
11
00
00
01
01
10
10
01
10
01
00
00
00
00
00
00
10
10
10
00
01
11
10
00
10
10
10
10
01
10
11
10
00
00
00
11
10
10
01
00
10
10
10
01
00
01
10
00
11
11
11
00
00
10
10
00
00
01
00
10
10
11
01
01
01
10
11
00
00
10
01
10
10
10
01
10
10
10
00
11
00
00
10
11
10
11
11
11
00
10
01
10
10
00
00
00
11
10
00
01
10
01
00
10
10
00
11
11
11
01
10
00
11
10
10
00
10
10
00
10
01
00
10
00
00
01
00
10
10
00
00
11
10
00
10
00
10
01
11
11
00
10
11
10
10
00
00
01
11
10
11
11
10
11
00
00
10
10
01
10
10
00
01
00
11
10
10
01
00
01
11
00
11
10
00
10
10
00
00
01
10
10
01
10
10
00
10
11
00
01
00
10
10
10
00
11
11
11
00
00
01
01
10
00
01
00
01
11
10
11
00
00
11
10
01
10
00
00
01
11
11
00
00
00
01
00
10
11
01
11
10
00
00
00
00
10
10
00
00
10
10
00
10
00
00
00
00
00
11
10
00
01
10
10
00
00
01
10
11
01
11
11
00
00
10
11
00
01
00
11
11
11
00
01
11
11
01
00
10
11
00
01
11
01
01
10
10
01
10
11
10
10
00
00
10
10
11
00
10
01
10
10
11
10
00
00
01
00
10
10
00
10
10
01
10
00
01
10
11
10
00
00
00
00
10
01
10
11
00
11
11
10
00
10
11
01
01
10
10
00
00
11
00
00
11
10
00
00
10
01
00
10
00
00
10
00
10
10
10
10
10
00
11
00
11
00
00
00
00
10
11
00
11
10
00
00
00
10
00
00
10
10
11
11
10
11
01
01
10
00
01
10
10
01
10
10
01
11
11
00
01
10
00
00
00
11
10
11
10
10
10
00
10
10
01
00
11
01
01
00
00
10
10
11
10
10
00
10
00
11
01
10
01
01
01
10
11
00
00
01
10
10
00
01
10
01
01
00
10
11
01
10
10
01
00
01
00
01
00
10
11
10
10
00
11
11
00
00
00
11
01
10
10
00
10
10
10
00
00
00
00
10
01
00
00
00
10
10
01
10
01
11
10
00
11
00
11
10
00
11
10
10
00
01
00
01
11
00
10
00
10
00
10
11
11
00
00
11
11
00
00
11
10
11
10
10
11
01
00
01
11
10
10
00
01
01
00
11
01
01
10
00
00
10
00
00
11
11
10
00
10
10
11
11
00
01
10
10
00
10
00
00
01
10
10
01
10
01
10
10
10
00
00
00
01
01
11
10
00
10
10
00
10
00
10
11
01
10
10
10
00
00
11
01
11
00
01
10
10
01
00
10
11
00
00
00
10
00
01
00
10
10
10
11
10
00
00
11
10
01
00
11
10
00
01
10
10
00
00
10
01
10
10
11
01
00
00
10
01
11
00
00
11
10
10
00
11
11
00
11
10
01
11
10
01
00
01
11
11
11
10
01
00
10
00
10
10
00
01
00
10
10
00
00
10
10
01
00
00
11
00
01
10
10
10
10
00
10
00
01
11
10
00
11
00
00
00
10
11
11
10
01
00
01
11
10
10
10
01
01
00
00
00
01
11
00
00
10
00
00
11
11
00
00
00
00
10
00
00
10
11
10
00
10
10
11
01
01
10
10
01
01
00
00
10
10
01
00
11
10
00
11
10
00
01
00
11
10
00
10
10
10
11
00
01
01
11
00
00
10
00
00
10
11
00
10
01
01
10
01
00
10
10
10
10
00
00
10
10
00
00
11
01
11
01
10
00
10
01
11
00
00
10
00
01
00
00
11
10
10
10
10
00
01
01
11
10
00
01
00
11
10
10
00
00
00
00
00
10
10
00
10
10
11
11
00
00
10
11
10
10
01
00
00
00
00
11
00
00
00
11
01
11
11
00
10
00
00
01
11
00
10
11
01
01
10
00
11
11
00
10
00
10
11
11
00
00
10
11
10
10
10
01
00
10
10
01
00
11
10
01
00
10
00
00
00
10
00
00
00
01
01
00
10
10
10
10
01
00
01
01
01
00
10
00
10
10
01
10
10
10
00
00
00
11
11
10
00
10
00
10
00
00
10
10
01
10
01
00
11
00
10
10
10
10
01
10
11
00
00
00
00
10
10
10
00
00
10
10
01
10
00
00
10
10
00
00
11
10
00
00
10
01
10
11
00
10
10
00
10
00
01
10
01
00
10
00
01
00
11
10
10
11
00
11
00
10
00
00
11
01
00
10
10
10
10
10
01
10
10
10
11
00
00
01
10
01
01
00
10
10
01
00
10
00
01
10
00
01
10
10
11
01
10
00
10
11
00
00
00
00
00
10
01
11
11
01
01
10
10
00
11
11
01
01
10
10
01
01
10
11
01
01
10
10
11
01
10
10
10
10
00
01
00
11
01
10
10
00
11
00
00
00
11
10
01
00
00
00
00
00
11
10
10
00
00
00
10
00
11
10
00
10
00
00
10
11
00
11
00
00
01
10
00
10
00
01
11
10
00
00
11
00
00
10
10
11
01
10
10
00
00
11
11
01
10
00
00
10
01
11
11
10
11
01
11
00
10
01
00
10
10
01
00
01
10
00
10
11
11
01
11
11
10
10
10
00
01
00
11
11
01
01
10
10
10
11
01
00
10
10
00
11
10
10
00
10
10
00
00
00
11
01
01
01
11
11
11
00
01
00
10
10
01
01
10
10
00
11
00
01
00
01
00
10
01
00
00
10
10
10
00
00
10
10
00
00
00
00
10
00
01
11
00
10
10
01
11
01
11
10
01
10
11
01
11
00
00
10
10
00
00
01
10
10
01
10
10
00
01
10
00
10
11
00
01
10
00
10
10
10
00
00
10
00
00
10
00
11
10
11
11
10
00
10
00
10
00
01
11
01
10
10
10
00
01
00
10
01
01
00
10
10
01
10
10
00
11
01
11
00
00
10
01
11
00
00
10
10
10
10
00
00
00
00
00
11
00
01
11
01
10
10
00
11
10
11
01
00
00
10
10
00
00
10
00
00
10
10
00
01
10
10
01
10
10
01
10
10
00
10
01
00
00
10
10
10
11
01
00
10
10
11
00
11
01
11
11
10
00
11
00
11
11
10
00
00
11
00
10
11
10
10
00
10
01
10
10
01
00
00
00
11
10
01
11
00
11
10
10
10
11
00
00
10
10
01
00
01
11
10
00
00
10
01
00
10
10
00
11
10
01
00
00
10
00
11
01
00
00
00
11
10
01
00
10
00
00
10
11
00
00
00
00
10
11
10
11
00
10
01
10
10
00
10
10
01
00
10
01
00
10
10
11
10
11
10
11
00
01
01
10
10
01
10
01
01
01
01
11
00
10
00
00
01
10
11
00
10
01
10
00
10
01
00
11
01
01
00
10
00
10
11
11
00
01
10
00
11
01
11
00
00
11
00
01
00
11
00
01
10
10
11
00
10
01
00
10
00
01
11
10
10
11
00
00
00
10
01
11
00
11
00
00
00
11
10
00
11
10
11
00
11
11
11
10
00
10
01
00
00
10
10
11
10
00
00
00
00
10
01
10
00
01
10
01
00
00
10
11
00
01
00
11
01
00
11
00
10
10
10
01
10
10
00
10
10
01
10
11
00
01
00
01
00
00
10
11
10
00
10
10
00
11
10
10
00
00
10
00
01
00
00
10
00
00
01
10
01
00
10
11
11
00
01
11
11
11
00
11
01
01
10
00
00
10
00
00
11
11
01
10
01
00
11
00
00
10
10
10
00
11
10
00
11
10
01
11
01
00
00
10
11
11
10
10
00
10
10
11
00
00
10
11
10
10
00
01
10
00
01
10
01
10
11
00
01
10
00
00
11
10
00
11
11
10
10
10
11
10
01
00
10
00
00
00
10
01
00
00
11
00
10
00
10
01
00
10
10
00
10
00
10
10
00
10
00
10
10
00
00
11
00
11
10
10
10
01
01
10
10
00
00
10
10
10
01
10
10
00
11
00
11
10
10
10
10
01
00
10
10
01
10
11
10
01
10
10
01
10
10
01
10
00
10
11
00
11
10
11
00
01
10
00
00
10
10
00
10
10
01
00
10
10
10
00
10
10
00
11
00
00
00
11
10
01
10
01
00
00
10
10
01
01
00
11
00
01
11
11
00
10
10
01
00
11
10
00
10
10
01
10
00
01
00
00
10
10
10
10
11
00
10
01
11
10
10
11
00
00
00
11
10
00
10
11
01
10
10
11
10
10
10
10
01
00
11
11
01
00
11
10
00
01
11
01
00
00
01
01
10
00
11
11
00
00
11
10
00
00
00
00
10
00
10
00
01
10
00
11
00
01
00
11
11
10
00
00
10
11
00
00
10
00
00
00
11
00
10
11
00
01
10
11
01
10
00
10
10
11
01
01
00
11
10
11
00
01
01
10
10
10
11
10
11
00
10
10
00
00
10
01
00
00
10
01
11
10
01
01
10
10
11
00
00
00
10
10
00
00
11
00
10
10
00
00
01
01
00
01
10
10
00
00
10
11
11
01
00
10
00
01
10
10
01
00
01
10
00
00
10
01
10
01
10
00
00
01
10
11
00
00
01
10
00
00
01
10
00
01
10
10
00
11
10
00
00
01
11
00
10
10
10
10
00
01
10
10
11
10
01
00
01
01
11
01
10
00
00
00
11
11
00
01
00
10
10
10
00
01
00
10
10
00
11
01
11
10
00
10
01
10
11
01
01
00
01
00
10
10
01
10
10
10
00
00
00
00
10
10
01
00
11
00
10
10
10
11
00
00
10
01
10
01
01
10
00
10
10
10
00
01
10
01
01
10
10
00
00
10
10
11
00
00
10
01
10
10
01
00
00
00
10
10
10
10
00
10
00
11
00
00
01
01
00
11
11
00
10
10
10
10
11
00
01
11
00
01
10
11
00
00
11
01
10
11
01
01
01
00
00
10
11
10
10
00
10
10
00
10
10
10
00
10
10
00
10
10
10
10
10
10
11
00
00
01
11
00
10
01
01
11
10
10
10
10
10
00
00
00
10
10
00
11
00
01
00
10
10
00
11
10
00
01
00
11
10
00
10
00
10
11
10
00
11
00
01
00
00
00
00
00
00
01
11
10
01
10
01
11
00
11
10
01
11
11
00
00
01
10
00
00
00
01
01
01
10
00
10
00
10
11
10
01
11
11
10
01
10
00
10
10
10
11
10
00
00
10
10
01
00
10
10
10
01
01
10
00
10
00
10
01
01
01
10
11
10
00
10
00
10
00
10
11
10
11
00
11
00
10
10
00
10
11
11
01
10
01
11
10
11
00
00
10
00
10
00
10
10
10
10
01
01
00
10
00
00
01
10
10
10
00
10
01
01
00
10
11
10
10
00
11
00
10
10
01
01
10
10
11
00
10
01
10
10
11
00
00
00
01
11
00
11
11
00
01
00
01
00
10
00
00
01
11
01
11
10
00
00
00
11
00
00
11
10
00
10
10
01
00
00
11
01
11
00
00
00
01
10
10
00
10
11
00
10
00
00
11
10
01
01
00
11
00
11
01
00
11
10
11
00
10
00
00
01
11
10
11
10
10
10
10
00
10
10
00
10
11
00
00
10
00
10
01
10
10
10
01
00
11
00
00
00
00
00
10
00
01
00
11
10
11
10
11
11
00
10
11
00
00
00
00
10
10
00
00
01
10
01
00
01
00
10
10
01
11
10
11
01
00
10
10
11
00
01
10
01
10
01
00
10
00
01
11
10
00
01
00
10
00
10
00
00
10
00
00
10
11
11
11
10
10
11
01
10
10
11
00
10
10
00
11
11
11
00
00
10
01
01
01
00
11
00
01
11
11
10
01
00
11
00
11
00
01
10
11
10
00
10
10
11
00
11
10
10
10
01
00
00
10
00
01
00
10
11
00
00
00
00
10
10
11
11
00
00
11
10
11
10
00
00
11
00
00
10
10
10
00
00
10
11
10
00
10
10
01
10
10
00
01
00
00
00
11
10
11
11
00
01
01
10
11
11
10
10
11
00
00
10
01
10
11
10
00
10
10
01
11
10
00
10
10
11
10
00
00
01
00
00
11
10
00
01
00
10
11
10
10
00
10
00
00
10
10
11
00
00
11
10
00
10
00
01
00
10
00
00
10
00
10
11
00
11
11
00
00
00
00
10
00
01
10
10
00
00
10
00
10
10
00
10
11
11
00
00
10
11
10
10
00
10
10
01
10
01
11
00
00
10
10
10
11
10
00
00
00
00
00
10
10
11
01
00
01
10
11
10
01
00
00
10
10
00
10
11
10
00
00
00
11
11
11
01
01
10
11
11
00
00
10
10
00
01
00
01
00
00
00
01
10
11
01
11
01
00
10
10
10
01
01
11
10
10
10
10
00
01
10
10
00
11
00
00
10
00
00
10
10
00
10
01
00
01
00
00
01
10
10
00
11
11
01
11
10
00
11
10
11
11
01
00
10
00
00
10
11
11
10
00
11
10
00
10
11
01
00
01
11
00
00
10
10
00
01
10
00
01
10
11
10
01
10
10
10
00
01
10
00
00
00
10
00
00
10
11
10
11
10
10
00
10
00
11
10
01
00
11
00
10
11
00
11
00
11
10
00
00
11
11
00
11
00
01
10
01
10
00
00
11
11
00
10
10
10
11
01
00
01
10
10
10
00
00
10
11
01
10
10
10
10
00
01
00
10
01
10
00
00
10
10
10
00
00
01
10
10
01
01
00
10
11
10
11
00
01
10
01
00
10
00
01
01
01
10
00
01
11
00
10
11
01
11
10
00
11
10
11
00
10
11
00
00
10
00
00
00
10
10
00
00
00
10
01
01
00
10
10
00
10
00
00
00
00
11
00
00
00
01
11
10
01
11
00
01
11
10
11
00
00
01
00
10
10
10
01
10
00
10
10
01
11
00
00
00
11
01
00
00
01
11
01
01
10
11
10
01
00
00
10
00
10
10
10
00
00
11
01
01
10
10
11
01
01
01
11
10
11
10
10
00
10
10
11
10
01
11
10
00
00
01
11
11
01
01
10
10
00
10
11
00
00
10
10
11
00
01
10
11
10
10
11
00
01
11
01
00
00
10
11
00
01
00
10
11
10
00
11
00
10
11
10
11
11
10
10
01
00
10
00
10
00
00
10
10
10
10
00
00
10
10
10
10
10
10
00
00
00
10
11
10
10
01
10
00
11
11
00
10
00
00
10
10
01
00
11
01
10
11
01
00
00
10
00
01
10
10
10
00
00
00
00
10
00
00
11
10
10
10
01
11
01
00
11
10
01
10
00
10
10
10
00
10
10
00
01
01
00
00
00
10
10
10
00
00
00
10
00
00
10
10
11
00
00
00
00
00
10
00
00
10
11
11
01
00
10
01
10
11
10
10
01
11
10
00
10
10
00
10
11
00
00
01
00
11
10
10
11
00
10
10
00
01
10
01
01
00
10
10
00
01
00
10
10
10
10
00
00
10
10
01
10
00
00
10
11
11
10
00
00
00
11
11
00
00
00
11
11
01
00
00
11
10
10
10
10
00
10
10
10
11
10
00
00
10
01
01
00
01
00
00
10
10
10
00
10
10
01
10
11
01
00
01
11
00
10
10
01
00
10
10
10
11
00
10
01
00
01
11
10
10
00
10
10
00
01
01
10
10
01
10
10
10
00
01
11
11
11
10
11
11
11
01
10
11
00
00
11
11
00
00
11
11
00
01
10
11
00
11
10
11
00
01
00
10
01
00
10
00
00
10
11
11
00
00
10
11
00
00
11
11
00
00
01
11
11
10
00
00
10
00
10
11
00
10
11
00
00
00
10
10
10
00
01
00
10
10
00
11
11
00
01
10
00
01
10
10
10
00
00
10
11
01
00
00
00
00
10
11
00
11
10
11
10
10
10
00
00
10
10
01
00
10
10
10
00
10
11
00
10
10
00
11
10
00
00
10
00
10
10
11
10
01
00
00
10
11
00
01
01
11
11
00
11
11
10
00
00
10
10
00
01
10
10
10
00
11
10
10
00
10
10
00
00
00
10
10
11
10
00
01
00
10
00
00
11
00
00
01
11
01
10
01
01
10
10
11
01
10
00
00
00
01
10
00
10
10
10
00
11
01
00
10
10
01
10
10
00
00
00
01
11
00
10
11
11
00
10
00
00
10
00
00
00
10
10
00
11
00
11
00
11
01
10
10
00
01
01
11
10
10
10
01
10
01
11
11
10
11
11
10
10
01
11
01
10
10
00
00
11
00
01
11
11
01
11
10
11
00
00
11
00
00
10
11
00
00
10
01
10
11
00
00
10
11
11
10
00
10
10
11
11
00
01
11
00
00
10
10
00
00
11
11
10
00
01
00
01
00
01
00
10
00
10
11
00
00
10
01
00
10
11
00
10
10
10
00
10
11
00
11
01
11
11
10
11
10
10
00
00
10
10
10
00
00
11
00
10
11
00
00
11
11
00
01
10
00
00
01
11
11
01
01
00
01
00
10
10
00
01
11
01
00
10
10
00
11
10
01
11
10
00
10
01
00
11
11
11
01
00
00
00
01
11
10
00
01
00
10
11
01
10
00
01
10
11
10
01
10
00
01
11
10
01
00
00
10
10
00
10
11
00
01
10
10
10
10
01
10
00
01
11
01
10
10
10
10
00
00
00
10
10
00
01
10
00
00
01
01
10
00
11
11
10
00
00
10
00
00
11
10
11
00
11
00
01
11
00
01
11
00
10
10
00
10
10
00
11
00
00
10
01
11
11
10
10
00
10
10
01
00
10
10
00
11
10
01
00
11
00
01
00
11
00
00
10
00
00
10
10
01
11
10
00
10
10
10
11
00
01
00
10
01
10
00
11
00
00
11
00
10
10
00
11
00
00
10
11
00
10
10
10
10
00
11
11
11
00
01
11
11
11
01
01
11
00
01
00
11
11
00
00
10
00
00
00
11
10
00
01
11
01
11
10
10
00
00
11
00
11
10
01
00
00
00
01
00
11
11
00
11
10
00
10
00
10
01
11
11
10
10
10
10
00
00
00
10
00
00
00
00
01
10
11
10
01
10
10
00
00
10
10
00
00
00
00
10
10
00
11
10
01
10
10
10
00
01
00
00
10
00
01
10
11
10
11
10
10
11
00
00
00
10
10
00
01
11
00
01
11
11
11
01
01
11
01
00
10
11
10
00
10
11
00
11
10
00
01
11
00
10
10
10
10
10
01
00
10
00
11
01
00
00
11
11
00
10
00
00
11
00
10
10
01
11
10
10
00
00
10
01
00
11
10
00
11
00
00
01
00
11
10
11
11
00
00
00
10
10
01
10
01
01
11
00
10
00
00
00
10
00
10
10
00
00
11
01
01
00
10
10
00
11
11
10
00
11
10
00
11
10
01
00
00
00
00
10
10
11
00
00
11
00
10
10
11
00
00
11
10
00
10
00
00
10
01
00
00
10
00
00
10
00
11
01
10
00
11
10
10
00
00
10
00
00
01
10
00
00
10
00
11
00
10
00
00
10
11
11
00
01
10
10
11
01
00
10
10
01
00
10
10
00
00
10
01
00
10
01
10
10
10
10
01
10
10
11
00
01
00
11
01
01
01
11
00
01
01
10
00
01
11
00
11
10
00
10
10
10
11
00
00
00
01
10
10
01
00
00
11
10
11
10
10
00
10
00
10
00
01
10
00
10
11
01
10
11
00
10
10
01
10
10
10
10
01
00
01
00
00
11
11
11
10
01
00
10
10
10
00
11
10
00
00
01
01
11
10
11
10
00
01
11
00
10
10
00
00
10
11
00
00
00
01
00
00
10
10
10
10
11
00
00
10
10
00
00
11
10
01
11
00
01
11
01
00
10
10
00
00
10
10
00
01
00
10
10
10
01
00
00
10
01
00
11
10
01
00
11
01
10
10
00
01
10
10
00
01
10
10
00
10
00
00
10
10
00
11
01
00
00
01
11
10
00
01
11
10
01
00
11
11
11
00
10
10
00
10
11
11
01
01
00
00
10
11
00
01
10
11
00
10
10
00
00
10
10
00
00
10
10
10
10
01
00
00
10
11
00
11
00
00
01
11
11
01
00
11
00
10
10
01
00
01
11
11
10
00
00
00
00
11
11
01
10
00
00
10
11
11
00
11
00
00
11
01
01
10
10
00
00
01
10
11
00
01
10
01
10
10
00
00
10
10
10
00
00
11
10
10
01
00
10
01
11
00
01
10
11
00
10
01
01
00
10
10
01
10
10
00
00
00
10
10
10
00
00
10
00
00
10
00
00
01
00
00
00
11
11
10
00
01
10
10
11
10
11
01
00
00
00
00
00
11
10
10
00
01
00
00
10
10
10
10
00
10
01
00
00
00
10
00
00
10
10
10
10
00
10
01
11
01
01
01
10
10
10
01
10
00
11
10
00
00
00
11
10
01
00
10
10
00
01
11
10
11
10
00
01
11
11
01
00
01
10
10
01
10
11
00
00
10
10
00
10
10
00
01
11
01
00
01
00
01
11
10
01
00
10
10
11
01
10
10
00
10
11
00
10
10
10
01
00
10
00
10
11
11
00
01
00
10
00
00
11
10
01
01
10
00
00
01
01
11
11
11
01
11
00
01
10
11
00
00
11
10
00
00
11
00
10
11
00
10
11
11
10
11
01
10
00
10
00
11
10
01
00
10
10
10
00
10
10
00
01
00
10
10
10
11
10
00
01
01
01
11
01
00
10
00
01
00
00
10
10
11
10
01
00
11
10
01
00
00
11
10
00
10
10
11
10
11
00
10
11
00
10
10
00
00
00
10
10
00
00
10
10
10
01
01
10
00
11
00
10
00
10
01
10
00
10
00
10
10
10
00
00
00
01
01
10
00
00
01
10
01
01
11
10
10
00
11
10
00
01
00
10
10
00
11
11
11
10
00
11
11
01
01
00
11
11
01
10
00
10
10
00
00
10
00
11
00
01
01
11
11
01
10
10
00
00
00
00
00
10
01
00
11
10
10
10
11
10
01
00
10
00
00
01
01
00
10
11
00
00
01
10
10
10
00
10
00
00
00
00
11
10
10
01
00
10
10
01
10
10
00
00
10
10
10
11
11
00
10
01
10
11
01
01
00
11
10
01
00
10
11
00
01
10
11
00
11
10
01
10
00
11
10
00
00
10
00
01
00
11
00
10
00
10
10
10
01
01
10
00
11
01
10
01
00
10
00
10
10
10
00
00
00
10
10
00
10
00
00
00
01
00
11
01
00
01
10
00
10
00
00
00
00
10
10
10
11
00
10
00
10
00
01
10
00
01
00
10
00
00
11
00
00
00
11
10
01
01
00
00
10
11
11
00
00
11
10
01
00
11
11
00
00
00
11
11
00
10
11
00
00
00
11
01
00
10
00
00
10
11
00
10
10
10
10
10
01
00
00
10
11
00
00
00
11
00
10
01
00
00
00
11
00
00
00
11
10
00
01
01
11
00
10
10
01
10
10
10
11
10
01
10
10
00
10
10
10
11
01
11
10
10
10
10
00
00
10
10
00
01
11
11
11
11
11
01
00
10
01
00
10
00
00
11
10
00
10
11
10
00
00
10
00
01
10
10
00
00
10
00
10
10
00
00
01
00
10
10
11
10
01
11
11
00
01
11
10
00
01
10
10
00
01
10
00
00
01
00
11
00
11
00
10
01
11
01
00
10
11
00
00
10
01
00
00
10
00
11
11
00
00
00
00
01
01
00
10
11
10
11
01
11
00
00
01
01
11
11
11
00
10
00
10
11
01
01
00
00
11
00
10
00
10
11
00
01
10
01
00
01
00
00
11
10
00
00
10
10
00
00
10
00
11
01
00
00
10
00
11
11
01
10
10
00
10
00
00
10
10
00
10
10
01
10
10
11
00
00
01
10
00
11
11
10
10
01
01
00
01
01
01
10
00
00
11
10
00
10
11
10
01
00
11
10
01
10
00
00
10
00
01
11
11
00
00
10
00
00
10
11
00
00
01
10
10
10
10
10
00
11
01
00
10
00
11
10
00
10
10
10
11
00
10
11
01
10
10
11
00
00
10
11
01
00
10
11
01
00
10
00
00
10
10
01
11
01
00
11
00
10
00
00
10
10
01
00
10
10
11
01
00
10
10
10
10
00
00
11
00
00
11
10
00
01
10
10
00
11
10
01
11
10
11
00
11
10
01
00
10
00
00
10
10
10
00
10
01
00
00
10
10
11
10
00
01
10
10
01
00
01
00
10
10
01
01
10
11
00
11
00
00
00
11
10
11
10
01
10
00
10
11
01
00
10
10
00
10
01
01
00
00
10
10
10
11
00
00
00
00
10
00
01
10
11
10
11
10
10
10
01
01
10
00
01
11
01
00
10
10
01
11
01
01
10
11
01
01
10
00
00
00
00
11
11
00
00
10
01
01
10
10
01
00
00
10
01
10
00
10
11
10
10
10
00
00
01
10
10
10
01
00
00
00
10
00
00
10
10
10
10
10
10
11
10
00
10
01
00
00
10
00
00
00
00
10
00
00
00
00
11
10
11
11
00
00
10
11
11
11
00
10
01
01
11
11
10
00
11
00
00
00
10
10
10
00
00
10
00
10
11
00
01
10
10
00
00
11
10
10
00
00
10
01
00
00
11
10
10
00
01
11
01
11
00
00
00
10
10
00
10
11
00
10
01
00
01
10
10
11
01
11
10
11
00
10
00
00
01
11
10
01
00
10
00
00
10
00
10
10
00
00
01
11
11
00
01
10
10
11
11
00
00
00
10
01
01
10
10
00
10
10
10
01
00
00
00
00
00
11
11
00
11
10
01
01
10
10
10
00
01
11
00
11
01
00
01
10
11
11
10
00
11
10
01
00
10
10
00
10
00
01
10
00
10
01
10
00
01
10
00
01
11
00
00
01
10
00
00
00
10
11
00
11
01
10
00
10
10
00
10
01
00
11
00
00
10
00
10
11
10
01
00
11
00
10
10
10
00
00
10
10
10
01
11
00
00
10
10
00
11
10
00
11
01
11
10
01
00
00
00
11
11
00
00
10
10
11
11
01
10
10
01
10
00
00
11
10
01
01
10
00
10
01
01
11
10
11
01
10
11
10
10
00
10
11
00
10
00
00
10
11
00
00
00
10
00
10
11
11
01
01
00
00
00
10
10
10
00
00
10
10
00
00
10
00
01
10
01
00
11
10
01
00
00
00
10
00
00
00
10
11
00
00
00
00
10
01
01
00
00
10
01
00
11
10
00
01
10
01
00
10
10
11
01
10
10
01
01
10
00
01
11
00
01
01
10
10
00
11
11
01
10
11
01
00
00
00
00
01
10
10
00
10
00
01
11
10
00
11
10
01
00
00
00
01
00
10
11
00
01
00
10
10
00
01
10
01
01
00
00
01
00
11
11
00
10
11
10
10
00
00
10
01
00
01
00
00
10
10
00
10
00
00
10
00
10
11
00
11
00
00
00
11
10
11
10
00
01
01
10
10
00
00
00
00
00
00
00
11
11
10
00
10
00
01
00
10
01
00
01
11
10
01
00
10
11
10
01
11
01
01
10
11
01
00
10
10
00
01
01
10
10
10
11
10
10
10
00
10
01
00
01
10
10
00
11
00
00
00
11
00
10
11
01
10
11
11
00
00
01
10
10
10
00
01
10
01
01
10
10
10
00
00
00
11
00
01
10
10
10
00
11
00
00
01
10
10
00
00
10
10
10
00
01
00
01
10
01
11
00
00
00
01
10
01
10
00
00
11
00
01
00
01
00
00
00
01
10
11
01
00
00
00
11
11
11
00
11
00
00
00
01
11
10
00
10
10
10
00
00
10
11
00
11
10
00
00
10
00
10
00
11
00
11
10
10
00
00
00
00
00
10
00
00
10
10
00
00
01
01
11
01
01
00
00
00
10
11
00
00
10
00
10
11
10
10
10
10
10
11
10
00
01
10
11
00
11
00
10
00
00
01
11
00
01
11
11
00
01
10
11
00
00
10
11
10
00
00
11
10
00
01
11
10
11
00
01
10
10
00
10
01
01
10
11
01
10
10
10
00
00
10
01
11
10
00
10
00
11
00
01
10
10
00
01
00
11
11
01
01
11
10
11
11
00
00
10
10
01
10
00
00
10
10
10
10
11
00
10
01
10
00
10
10
01
10
10
00
01
11
01
00
11
01
10
11
10
11
00
00
01
00
00
11
10
01
10
10
00
11
11
10
01
10
00
10
11
00
00
11
10
10
11
00
00
10
10
00
00
10
10
10
00
11
01
10
00
11
00
10
10
00
01
01
11
00
00
00
00
10
00
10
10
10
00
10
01
11
00
01
10
01
00
10
00
10
10
10
00
00
11
10
01
00
00
10
11
10
10
01
10
00
10
10
01
00
10
11
00
10
00
11
01
00
10
00
00
00
00
00
11
00
10
01
10
01
10
11
00
10
00
00
00
00
10
10
11
10
10
00
11
00
00
10
01
00
11
10
11
10
00
11
00
11
10
10
00
10
00
00
10
00
00
11
10
00
10
10
01
10
11
10
00
00
10
01
10
11
01
00
01
11
10
11
01
00
00
11
10
10
01
00
11
10
00
00
10
10
11
11
01
00
10
11
00
01
10
10
10
01
10
10
11
01
00
00
00
11
00
10
01
01
11
10
10
01
01
11
00
10
10
00
00
10
10
00
00
10
11
11
11
10
00
00
01
10
00
00
10
01
00
10
10
00
01
00
01
10
11
00
00
00
10
00
00
01
10
11
10
00
01
10
00
10
10
01
01
00
00
00
00
01
10
00
00
10
00
10
01
10
00
01
10
11
01
00
00
00
10
10
11
00
00
11
10
00
00
00
10
01
00
00
11
10
10
10
00
00
01
00
10
10
00
10
01
00
10
00
00
10
10
01
10
11
10
10
00
01
00
00
01
10
01
01
11
10
10
00
00
10
10
00
01
00
11
00
10
10
00
00
01
01
10
11
00
01
01
00
10
00
00
11
00
00
11
10
11
10
11
00
11
11
11
10
11
01
00
00
10
11
00
00
00
00
11
10
11
10
00
10
10
00
10
10
10
01
00
11
01
00
10
00
10
00
00
00
10
10
10
01
01
10
00
10
10
00
10
11
00
01
11
00
11
10
01
01
01
10
00
11
01
00
10
00
00
10
10
00
10
01
11
10
10
10
10
01
10
11
10
11
10
00
10
11
11
01
00
01
11
10
00
11
10
00
00
11
00
00
11
01
00
10
10
01
11
10
00
10
00
10
01
00
10
10
10
01
00
00
10
00
00
00
11
11
10
00
10
00
00
00
10
01
00
01
10
11
00
11
00
10
10
01
00
10
10
10
11
10
10
01
11
00
10
01
00
00
10
11
00
01
10
01
11
00
10
11
11
01
00
11
10
00
00
10
01
00
10
10
10
01
00
10
01
00
10
10
10
00
00
10
10
11
01
01
10
01
11
01
10
10
00
10
11
10
00
00
10
00
10
11
10
00
00
10
11
00
11
10
10
00
10
00
00
00
10
00
10
01
11
10
10
10
01
10
10
00
01
00
10
10
11
11
00
00
10
00
00
10
00
10
10
00
00
10
10
10
10
00
00
10
11
10
10
01
00
01
00
11
11
10
11
00
10
10
10
01
01
10
00
11
10
10
00
00
00
10
10
01
10
11
00
00
10
01
10
10
11
00
10
00
11
10
01
10
10
10
10
10
01
10
10
00
10
00
11
01
00
11
00
01
10
10
00
11
10
11
01
01
11
11
00
11
10
01
11
10
01
01
00
10
10
00
10
11
00
10
00
00
10
01
00
10
11
10
10
10
01
01
00
01
00
00
10
10
10
10
00
00
11
10
11
10
10
11
01
00
01
01
10
11
01
10
10
00
10
01
10
10
00
00
01
10
00
01
00
01
01
00
10
01
00
10
01
00
10
01
10
11
00
00
00
00
01
10
10
01
00
00
10
00
00
10
11
01
00
11
11
00
01
11
11
00
01
01
01
11
01
01
11
01
01
11
11
10
01
10
11
00
00
10
11
00
01
11
10
10
00
01
01
00
10
01
00
10
10
00
01
10
10
11
10
00
10
10
00
10
00
00
10
10
10
10
00
00
11
00
10
01
01
11
00
10
00
10
11
00
11
11
01
10
00
10
01
11
00
10
00
01
10
10
10
01
11
01
10
11
00
00
00
11
00
00
01
10
11
10
00
01
10
00
00
00
10
00
00
10
11
11
10
01
00
10
00
11
11
11
11
00
01
00
00
11
11
00
10
11
00
10
11
01
01
11
11
00
11
00
01
10
11
10
01
00
00
10
11
00
00
10
10
00
00
00
00
00
00
00
10
11
01
10
01
10
11
00
11
10
01
00
10
00
10
10
00
11
10
00
11
00
00
10
00
00
10
10
10
01
00
10
10
10
11
11
00
00
00
00
11
00
00
11
00
01
10
01
10
10
00
10
10
00
01
00
11
00
00
11
00
00
10
11
00
10
01
11
11
00
00
00
00
00
01
11
10
11
00
00
01
10
11
10
10
00
01
10
11
10
10
00
01
11
10
00
01
01
01
10
10
00
00
10
00
00
11
10
11
10
00
10
00
00
00
11
10
01
11
10
10
00
00
00
10
00
00
01
01
11
00
11
10
01
00
10
00
00
10
00
00
01
10
00
00
10
00
01
10
10
00
01
00
00
11
11
10
00
00
11
01
00
01
10
10
00
10
11
10
01
00
01
01
00
11
11
10
00
00
11
10
11
00
11
01
01
01
11
10
01
00
10
00
01
10
11
01
00
10
11
00
00
00
11
00
01
10
10
11
11
10
00
00
00
10
10
00
10
01
00
10
01
00
01
10
10
11
01
00
01
00
00
00
10
11
10
00
10
10
01
10
10
01
00
10
10
00
00
10
00
10
10
00
00
10
10
10
11
01
10
10
10
00
10
00
01
10
10
00
00
01
11
10
10
10
00
01
01
10
11
00
00
11
10
00
01
11
00
01
01
11
10
01
10
00
10
01
00
10
00
00
00
11
10
01
10
00
01
00
01
00
11
10
10
00
01
10
10
01
00
10
11
10
00
11
10
01
00
10
11
00
00
11
00
00
00
00
00
00
00
10
01
00
10
00
10
11
00
01
10
00
01
00
00
10
00
10
10
00
00
10
10
10
00
00
01
10
10
10
10
10
00
11
10
01
10
11
11
01
01
10
10
00
10
00
10
10
10
00
00
10
00
10
00
11
00
11
01
00
00
10
11
00
11
00
00
00
01
01
10
11
00
11
10
00
10
10
10
00
11
10
00
00
00
11
00
10
10
10
10
10
00
00
10
01
00
01
10
00
00
01
01
10
01
01
10
11
01
11
00
00
10
00
00
00
10
10
01
10
10
00
10
10
01
10
10
11
00
00
00
00
00
00
11
00
10
10
10
00
11
11
11
01
01
10
10
10
00
00
11
10
11
01
10
00
00
11
01
01
00
10
11
00
00
10
01
01
10
00
11
01
11
01
10
11
01
10
01
00
00
10
01
00
11
10
11
10
11
00
00
01
10
00
00
00
11
00
11
11
00
00
10
00
00
10
10
00
00
10
10
10
10
10
10
11
00
00
00
10
00
11
11
01
01
10
10
11
00
00
11
00
00
01
01
10
01
10
11
00
11
00
00
00
10
10
00
11
10
10
00
10
10
00
11
00
01
10
11
00
11
10
10
00
00
11
10
10
00
10
00
10
11
00
00
11
00
10
11
10
10
11
01
00
00
01
01
11
01
11
01
01
11
10
01
01
10
11
10
00
00
10
10
10
11
01
00
01
11
10
00
10
01
10
00
00
10
00
11
01
00
01
11
10
10
10
10
00
00
10
00
00
11
10
11
10
10
00
00
10
11
00
01
10
10
01
00
10
00
00
10
01
11
00
10
11
00
11
00
10
10
00
00
01
00
01
10
00
10
01
10
11
10
10
10
00
00
10
10
00
00
11
10
01
10
10
00
00
00
10
00
01
11
01
01
01
10
01
01
10
11
00
10
10
01
00
01
00
10
10
00
10
10
10
01
10
10
00
10
10
01
10
11
10
00
01
01
01
01
11
10
10
00
01
10
10
10
01
11
00
10
01
10
11
10
00
11
00
01
01
00
11
00
10
10
00
00
01
10
10
11
11
00
01
00
10
01
10
00
10
11
00
00
10
10
10
00
10
00
00
10
01
00
10
10
10
10
00
10
11
10
10
10
00
00
00
01
00
11
00
11
10
10
10
00
10
11
10
01
01
01
10
10
00
00
10
10
01
10
10
00
01
00
00
01
01
10
11
10
00
10
01
10
11
00
00
10
01
00
11
10
01
00
00
01
10
00
01
00
11
10
00
00
10
00
00
10
11
00
10
11
00
00
11
11
00
00
10
11
00
10
00
00
11
01
00
10
11
11
10
11
01
11
10
11
00
00
00
10
00
10
10
00
10
10
10
00
00
10
10
10
11
10
10
10
10
01
00
01
11
10
11
01
00
01
00
10
10
00
00
11
10
00
10
10
00
10
00
10
00
11
00
01
00
10
11
00
00
00
10
10
01
01
00
01
00
01
00
10
10
00
00
11
11
00
00
00
10
11
11
10
00
11
10
00
10
01
00
11
00
00
11
10
11
10
10
00
01
00
01
01
10
10
00
00
11
10
00
11
10
10
00
11
10
10
01
00
00
10
00
00
10
00
00
00
10
11
00
00
00
00
10
01
00
10
00
10
00
11
10
00
00
10
10
00
01
00
11
01
01
11
10
11
00
00
11
10
00
01
11
11
10
10
00
10
10
00
00
10
10
00
11
11
10
01
00
11
11
11
11
10
01
00
01
10
01
00
11
01
00
10
10
01
10
10
10
00
01
10
00
10
00
00
10
10
01
10
00
10
00
01
10
00
01
00
10
11
00
00
11
01
00
10
00
00
10
00
11
11
10
10
11
00
00
11
00
00
10
01
01
00
01
10
10
00
00
10
00
10
10
11
10
10
00
10
10
01
00
11
10
01
10
00
10
01
00
10
10
00
00
10
11
01
10
11
00
10
11
10
10
00
00
11
10
00
01
11
10
11
10
00
00
00
10
00
00
10
00
11
10
11
10
00
00
10
00
00
10
10
00
00
00
10
10
10
11
10
10
10
00
00
11
11
01
10
00
00
10
01
00
10
00
01
10
10
01
01
01
11
10
00
00
10
01
11
10
11
01
01
10
00
11
00
10
11
00
00
10
11
10
00
01
00
00
01
00
11
01
00
11
10
00
00
10
10
00
01
11
01
00
01
00
10
10
11
10
00
00
11
10
10
10
01
10
10
01
01
10
10
00
10
10
01
01
10
01
00
01
10
10
00
10
10
00
00
10
11
01
00
10
10
00
00
00
00
00
11
01
10
11
10
01
00
01
00
00
10
10
00
01
00
10
00
11
01
01
11
10
00
00
00
00
01
10
10
11
00
01
10
10
10
00
00
10
01
10
10
00
00
11
00
01
10
00
00
00
00
10
00
10
00
11
00
11
10
00
10
11
10
10
10
01
11
01
01
10
11
11
01
00
10
11
11
00
10
00
00
10
10
01
01
11
00
01
11
10
10
10
10
11
11
01
10
10
10
00
00
00
10
00
00
01
01
00
01
11
10
01
10
10
00
00
11
10
00
01
00
11
01
00
11
10
10
01
10
10
00
00
10
01
01
10
10
01
11
10
01
10
01
00
10
00
01
10
10
10
00
10
10
10
00
10
00
01
00
00
00
00
10
10
10
01
01
10
10
10
10
00
01
10
11
11
10
00
00
00
10
01
00
11
10
01
01
00
11
10
10
01
00
01
00
11
10
10
00
00
10
00
00
11
00
10
01
10
10
10
00
10
01
11
10
11
10
10
00
10
11
00
00
11
11
01
01
00
11
00
00
11
00
11
11
10
10
00
01
11
00
01
10
11
01
01
00
11
10
00
00
10
10
11
00
01
00
00
10
10
01
10
01
01
00
11
11
01
00
11
10
11
00
10
00
00
00
00
00
11
11
10
10
00
10
00
11
01
10
11
10
00
10
01
00
00
10
11
00
00
10
11
01
01
10
00
01
11
10
01
10
10
00
10
00
00
11
11
10
00
10
10
11
00
10
10
01
11
00
01
00
01
11
10
11
00
00
10
10
10
00
00
11
00
11
00
11
00
01
00
11
01
00
11
10
00
10
10
01
01
10
10
01
10
00
10
00
00
01
00
11
10
10
11
10
00
10
01
00
11
00
00
10
00
01
11
10
10
00
00
10
11
01
01
10
11
10
00
10
11
00
11
10
01
11
00
00
11
11
00
00
10
00
00
01
10
01
10
10
00
11
01
10
10
10
00
00
11
00
00
10
10
10
11
10
00
00
10
00
00
10
10
11
00
01
00
00
01
00
00
10
10
00
00
01
10
11
00
00
00
10
00
00
10
10
10
11
01
00
00
01
10
01
01
10
01
01
10
00
01
10
00
00
00
01
10
01
00
11
10
01
10
00
10
00
00
11
00
00
10
00
01
00
10
11
11
01
10
10
00
10
01
01
00
10
10
00
11
11
01
01
00
10
11
01
00
10
10
01
00
01
01
10
11
10
10
00
01
10
10
00
00
10
01
10
10
10
11
11
01
11
00
10
10
00
00
00
10
01
01
10
10
00
01
00
10
00
00
11
11
00
00
01
10
11
00
00
10
10
01
00
10
10
00
10
11
10
11
00
00
00
00
10
01
10
11
00
00
10
11
10
11
11
00
10
10
00
01
10
00
00
00
01
00
11
11
10
00
01
00
10
00
01
11
01
11
10
10
11
11
01
11
10
10
01
10
00
00
10
10
00
00
10
00
10
00
00
10
00
01
00
11
10
00
00
11
00
10
00
00
10
01
10
01
11
11
11
10
11
00
01
10
10
01
11
10
01
00
01
00
11
00
00
11
00
10
10
01
00
00
00
00
00
11
10
10
10
10
10
10
01
10
01
01
11
10
00
00
00
10
10
00
01
00
11
00
01
01
10
11
11
00
00
10
10
00
00
10
00
00
10
00
11
11
01
00
10
00
10
01
10
10
00
00
11
00
10
00
01
10
00
10
00
00
00
01
10
10
10
11
10
10
10
10
11
10
11
00
00
11
00
10
10
11
11
00
00
10
10
10
00
01
00
01
00
01
01
10
00
11
00
00
01
10
11
00
01
10
00
00
00
00
10
01
10
00
00
00
01
00
10
11
01
00
10
10
10
01
10
11
00
10
10
00
10
10
10
00
01
01
00
11
01
01
00
00
00
10
11
10
00
01
10
10
00
00
10
01
00
10
00
10
01
10
11
00
10
11
10
11
00
10
11
10
01
00
00
10
00
00
10
01
00
00
01
00
00
10
01
01
10
01
01
11
00
11
10
01
10
10
00
10
01
01
10
10
00
00
10
10
01
01
00
01
10
10
00
11
00
11
10
01
10
10
11
00
00
11
00
11
00
10
00
00
01
10
10
01
00
01
10
10
00
00
10
10
11
10
00
00
00
10
01
00
10
11
10
10
00
00
00
00
10
11
01
00
00
10
10
11
00
01
10
01
01
10
10
01
01
11
01
00
01
10
00
11
00
00
10
10
01
00
01
11
00
00
00
11
10
10
01
00
00
10
10
10
00
11
10
11
10
10
01
10
10
10
00
10
10
01
00
00
10
00
01
10
00
10
00
00
11
00
10
01
00
01
11
11
10
01
10
10
01
01
11
10
11
00
11
00
01
00
11
11
10
10
01
10
00
11
00
00
01
10
11
01
11
00
00
10
10
11
01
01
11
11
11
10
01
10
10
01
00
10
10
01
00
00
10
01
10
10
00
01
10
00
10
10
01
01
00
01
11
10
10
10
10
11
11
00
00
10
00
10
01
10
10
10
11
11
00
00
01
11
10
10
00
00
00
10
11
00
10
11
00
01
11
10
00
00
00
10
01
00
00
10
11
00
01
00
10
11
01
11
01
01
11
10
01
01
10
11
10
01
10
01
00
10
11
10
10
01
10
11
10
01
00
10
10
10
10
00
10
10
00
11
10
10
10
00
11
00
00
01
01
00
11
01
01
11
00
11
00
00
10
11
00
01
11
10
00
10
11
00
01
10
10
01
00
10
00
01
10
00
00
11
11
01
11
10
00
00
01
01
00
10
10
11
00
00
11
10
00
00
10
10
00
00
00
00
10
10
10
10
10
11
01
10
00
01
00
10
01
01
10
00
10
10
01
11
10
10
10
00
10
01
11
11
10
00
10
01
00
11
10
01
11
00
10
11
10
11
10
00
00
10
10
10
00
01
00
01
10
11
10
10
00
00
01
00
00
10
00
10
11
10
10
10
00
10
01
00
11
10
00
10
01
11
11
11
00
00
10
11
00
01
11
10
00
01
00
10
10
00
00
10
11
00
01
10
10
00
00
00
00
10
10
10
01
11
01
11
10
10
01
00
10
10
00
01
11
10
00
01
00
11
00
01
00
11
00
00
10
10
00
00
10
01
10
00
11
10
10
01
01
00
10
10
10
10
10
10
00
11
00
01
11
00
10
01
10
00
10
00
01
11
10
11
01
10
00
00
11
10
00
01
10
10
10
11
10
10
01
10
10
10
00
11
01
00
10
10
00
11
00
00
00
00
10
00
10
10
00
00
00
10
00
10
01
00
10
10
00
10
10
00
00
00
10
10
00
00
10
01
00
00
11
11
10
10
01
10
00
11
11
01
00
01
00
10
00
11
00
00
10
00
00
01
00
10
00
11
10
11
01
00
01
11
11
11
00
01
10
11
01
00
11
00
10
10
10
11
01
10
10
00
01
01
00
01
00
10
10
10
00
00
10
11
10
10
01
10
10
00
11
10
00
10
10
00
11
00
01
10
00
00
11
11
11
10
00
00
11
10
01
01
10
01
00
00
00
11
11
11
00
00
00
10
10
10
10
01
10
10
11
01
01
10
01
00
01
00
00
00
10
01
00
10
10
00
10
00
00
10
10
00
11
10
11
11
00
01
00
10
11
00
01
10
01
10
10
00
10
10
00
00
11
11
01
11
10
11
11
10
01
10
11
00
00
00
00
00
10
00
00
11
11
10
10
10
01
11
10
01
00
00
00
11
10
11
11
00
10
11
00
01
00
00
00
11
10
11
00
01
10
00
00
01
11
11
10
00
00
10
00
01
11
11
10
10
01
10
00
01
10
00
00
10
10
10
00
11
10
10
00
11
10
01
00
00
01
10
10
00
01
10
10
10
00
11
01
11
10
10
10
00
00
10
10
00
00
00
00
01
11
00
10
01
00
10
01
10
01
00
10
00
01
10
10
10
01
00
01
01
11
11
10
01
01
11
10
10
10
11
10
01
10
00
00
10
10
11
01
00
10
10
00
00
00
00
10
11
10
00
00
00
00
00
11
11
11
10
01
10
10
10
01
10
10
00
00
11
00
00
00
00
11
00
00
10
10
00
10
10
00
00
10
01
11
00
11
00
10
00
10
00
00
11
10
10
00
10
00
00
10
01
11
10
00
00
00
11
00
01
00
11
10
01
00
11
10
10
10
01
00
00
10
01
10
10
10
11
00
10
10
11
00
01
10
00
11
10
11
10
10
00
01
11
00
10
10
10
10
01
00
10
10
11
10
10
00
00
11
00
10
10
10
01
00
11
00
10
01
01
01
10
11
00
10
01
00
00
10
11
01
00
10
11
01
11
01
00
11
10
00
00
10
10
01
10
11
01
00
10
10
10
00
10
00
00
11
00
11
11
10
01
00
00
10
10
00
10
10
01
00
00
10
00
00
00
01
11
11
11
00
01
10
10
11
00
01
11
00
01
00
00
00
00
11
01
10
11
11
01
11
00
01
00
10
10
11
01
01
00
10
11
10
01
00
00
00
10
01
11
01
11
10
00
10
10
00
00
00
01
11
11
00
10
10
10
01
01
11
10
10
00
01
11
10
11
01
00
00
00
11
10
11
00
01
00
00
00
00
10
10
01
00
11
10
00
01
10
11
00
10
10
11
01
00
00
10
10
00
00
10
10
00
10
01
00
11
10
01
10
10
00
00
00
10
00
00
10
00
10
01
10
10
00
10
10
01
11
11
10
11
10
01
11
10
00
00
10
10
00
01
11
00
10
00
00
00
00
11
01
10
11
10
01
00
10
00
10
10
01
10
10
10
01
10
00
11
00
10
10
00
11
00
10
10
00
00
11
10
01
10
10
00
11
11
00
00
10
10
11
00
11
00
01
00
00
11
00
00
10
10
00
01
11
11
10
10
11
11
00
01
00
10
00
00
10
00
00
10
11
10
10
00
10
00
10
00
10
01
00
10
10
10
11
00
00
00
00
11
00
00
11
11
00
10
00
00
10
10
01
11
00
10
10
01
11
01
11
11
11
10
10
00
00
00
00
11
10
00
00
00
00
10
11
00
11
00
00
11
11
10
01
01
00
10
11
01
00
11
01
10
10
01
00
00
11
00
10
01
10
10
00
00
00
01
00
10
11
10
01
00
10
10
10
01
10
10
11
00
00
10
10
01
11
11
10
10
10
00
01
10
11
00
00
10
10
00
10
00
01
11
11
00
10
00
00
00
00
10
01
00
10
00
11
10
11
00
11
01
01
10
11
01
00
00
00
10
10
01
00
10
00
01
10
00
01
00
10
00
01
11
11
00
00
00
01
01
00
11
10
00
10
10
00
01
00
10
00
11
00
10
10
00
01
11
10
00
10
01
01
00
10
10
11
00
10
10
00
01
10
01
10
00
01
10
10
10
10
00
01
10
11
10
00
00
00
10
00
10
10
01
01
00
00
00
10
10
00
00
11
00
01
00
10
00
10
00
00
10
10
10
10
00
00
01
00
10
00
11
11
00
10
01
00
00
10
10
10
00
01
10
00
00
00
10
00
00
11
00
10
11
00
00
00
10
11
00
00
00
01
10
10
00
00
00
00
00
11
10
00
10
10
11
00
10
11
00
10
11
00
10
01
11
00
00
00
11
00
00
10
10
01
01
11
01
00
00
01
00
10
01
00
10
00
10
10
00
01
00
10
00
00
11
10
01
00
11
10
11
00
10
11
00
11
10
00
11
10
01
10
00
00
00
10
10
00
00
00
00
10
11
10
00
00
10
01
00
01
00
11
10
00
10
11
11
01
00
11
00
00
00
10
00
00
10
10
10
00
10
11
00
00
10
10
10
00
00
11
11
10
10
00
10
10
10
00
00
01
00
10
10
10
01
00
11
11
10
01
01
10
00
10
10
00
00
11
10
11
10
11
01
10
11
00
10
01
01
11
10
01
10
10
00
00
11
10
00
00
00
10
00
10
10
10
10
00
10
00
01
11
00
10
00
10
11
01
00
00
11
00
10
00
11
11
01
01
01
11
00
10
10
10
00
00
10
01
10
00
01
00
00
11
01
11
01
10
00
10
10
00
11
11
10
01
10
00
01
01
00
00
00
11
00
10
10
00
10
11
00
00
11
11
10
00
10
00
11
00
10
11
11
01
10
10
10
01
00
00
01
11
10
01
10
00
00
10
00
00
10
11
00
01
11
01
10
00
11
00
00
10
10
01
00
01
00
11
00
01
11
01
01
10
10
00
01
11
10
00
00
10
10
00
00
11
00
10
01
01
00
00
11
10
11
10
01
10
10
00
01
10
01
11
00
01
10
00
10
10
10
00
10
00
00
10
01
10
11
00
00
10
11
10
00
11
10
01
11
11
10
10
10
10
00
01
10
10
00
11
10
10
00
01
10
01
00
10
00
00
00
01
00
10
10
00
01
00
11
01
10
01
11
10
10
10
01
11
10
01
11
10
01
11
10
10
00
00
11
11
10
01
00
00
10
01
10
00
10
10
00
11
10
00
11
10
00
00
11
10
10
10
00
00
01
00
10
10
00
00
00
10
10
00
00
11
10
10
00
01
11
00
01
10
11
00
00
10
10
10
00
00
10
01
00
00
11
00
10
11
00
00
01
11
10
00
00
11
10
00
00
11
01
11
00
00
10
00
11
11
11
10
00
11
10
10
01
00
10
10
00
01
01
01
10
01
10
00
00
10
00
00
10
11
11
01
00
01
01
10
11
00
11
10
01
00
11
01
00
11
00
00
00
11
11
11
00
00
10
10
11
00
10
01
01
00
01
11
01
00
00
11
11
11
11
00
01
00
00
10
11
01
00
01
00
11
00
00
10
10
00
10
10
00
01
10
00
00
00
11
00
10
10
11
00
00
10
10
01
11
00
00
00
01
10
11
10
00
01
00
00
11
10
10
00
01
00
01
00
10
11
10
10
00
00
11
10
10
10
01
00
10
10
00
01
10
11
00
10
01
10
01
00
11
11
01
01
01
00
11
00
00
00
11
10
00
00
10
10
01
10
11
10
00
10
10
00
10
01
00
10
10
10
10
00
11
10
11
01
01
10
01
10
11
10
10
00
10
10
00
10
00
00
01
10
10
01
11
10
00
10
10
00
00
10
10
01
11
00
10
10
01
10
11
00
11
01
00
10
10
10
00
00
10
10
10
10
11
10
00
00
01
10
10
01
01
10
10
00
11
10
01
11
10
10
00
01
00
10
00
10
10
10
01
00
11
10
10
11
00
11
11
00
00
01
10
11
10
10
00
00
11
10
10
00
10
01
00
11
10
00
10
01
01
11
10
01
01
11
11
01
11
11
00
10
10
01
00
10
00
00
01
01
10
10
01
00
11
10
00
00
10
10
11
11
01
00
10
00
00
10
01
10
10
01
10
11
10
00
10
10
10
10
00
10
10
11
10
00
01
10
00
10
10
10
11
00
00
10
10
01
10
01
01
10
10
01
01
01
00
10
00
11
11
00
10
10
00
10
11
10
01
10
11
10
00
00
10
10
00
00
10
00
11
01
01
00
11
10
11
11
10
10
00
10
01
10
10
11
00
00
00
01
00
01
01
11
11
10
01
00
11
10
11
00
01
10
10
10
00
10
10
00
10
10
10
00
00
10
10
00
11
10
00
10
11
00
00
11
10
11
00
01
10
10
10
11
10
10
11
10
10
10
01
11
00
00
10
01
10
10
01
01
10
00
00
00
00
10
10
11
01
11
11
10
11
10
00
10
00
00
01
00
10
01
10
01
01
10
11
00
00
00
10
10
11
01
00
10
00
10
10
11
00
11
00
01
11
00
00
11
00
00
00
11
10
10
00
10
01
00
00
10
10
01
11
10
00
11
11
11
10
11
00
01
10
01
01
00
10
00
00
00
11
10
11
11
10
00
11
10
11
00
01
10
00
10
10
00
01
11
01
01
11
11
11
00
10
00
01
00
10
10
00
10
01
00
11
01
01
10
10
10
00
10
10
01
00
11
10
00
10
00
10
10
10
00
11
00
10
10
00
01
01
00
10
10
10
00
00
00
00
00
11
10
11
01
10
00
00
10
10
10
00
10
01
00
10
10
11
01
00
10
00
10
00
00
10
11
00
11
00
00
00
00
00
10
01
00
10
00
11
01
11
11
01
11
01
10
01
10
01
11
01
00
10
10
00
11
11
00
00
01
01
10
10
10
00
00
01
10
10
00
11
00
00
01
10
00
10
00
01
10
10
11
00
01
00
00
00
11
01
01
10
10
10
10
10
00
10
11
10
10
00
11
00
01
10
01
01
11
00
11
01
00
11
01
00
11
00
10
11
01
10
00
10
11
10
10
00
00
01
00
10
10
11
00
11
01
01
00
11
10
01
00
01
00
10
00
10
00
10
10
10
01
10
10
01
10
00
11
01
01
00
11
11
01
10
10
10
00
00
10
10
01
01
01
01
10
10
00
11
11
10
10
00
10
00
10
10
01
00
10
01
01
10
00
10
10
00
01
10
00
10
11
00
00
10
10
10
00
10
00
01
00
01
11
00
01
01
11
10
01
10
01
10
00
00
11
10
01
11
11
10
01
10
10
10
01
01
00
10
10
10
01
11
11
00
10
10
01
00
00
01
11
00
00
10
01
00
10
11
00
01
10
10
01
10
11
01
10
10
10
10
00
00
10
01
00
01
11
01
01
00
01
10
11
00
00
10
10
11
00
11
00
11
11
00
10
10
00
00
00
10
11
10
11
11
01
10
01
10
00
11
00
01
10
11
10
11
10
00
10
10
10
11
00
00
10
10
10
01
11
10
11
10
00
00
00
00
10
11
10
10
10
10
00
10
11
10
00
01
11
00
10
10
00
10
00
00
01
10
10
00
11
00
01
00
10
01
10
01
00
11
11
00
00
00
11
10
10
00
00
01
11
01
11
10
10
10
10
00
10
01
00
10
11
11
00
10
01
10
10
00
01
11
01
00
10
10
11
10
00
10
11
01
00
10
00
01
01
11
11
01
00
11
00
01
10
10
00
11
11
00
01
10
10
10
10
11
00
01
01
10
10
10
10
00
00
10
10
10
01
00
00
00
10
11
01
01
01
10
00
01
11
01
00
01
11
00
10
10
10
11
00
00
01
10
10
00
10
11
11
00
11
10
01
01
11
00
10
10
00
10
10
00
01
10
01
10
10
00
11
10
01
00
10
01
00
11
00
00
10
11
10
00
00
10
00
00
10
01
00
10
01
00
10
00
00
10
10
00
00
01
00
11
10
11
10
00
10
10
01
00
01
10
00
00
00
10
10
00
10
01
11
00
01
11
10
01
00
01
11
10
00
10
00
00
10
10
10
00
10
10
00
01
10
00
00
00
01
00
10
10
01
11
10
00
00
00
11
00
00
00
10
10
00
00
10
00
11
11
01
11
00
00
10
10
01
00
10
10
10
01
11
10
01
01
10
00
01
10
00
00
10
10
10
00
11
01
00
01
10
01
01
00
10
01
10
11
01
10
00
00
01
00
01
10
10
10
10
01
00
10
00
01
01
10
00
01
00
01
01
10
00
00
10
00
00
00
10
10
10
10
00
01
11
01
10
01
00
00
10
00
00
11
11
10
10
00
11
00
00
00
10
10
00
10
10
10
00
11
11
00
11
10
01
10
10
00
00
00
10
00
01
11
11
00
01
10
00
00
10
10
10
11
00
10
10
00
10
10
11
11
01
01
10
10
10
00
00
11
10
00
10
01
11
11
01
10
11
00
01
00
00
11
10
00
00
01
10
10
10
11
10
10
10
10
00
01
10
00
01
01
11
10
01
10
11
00
00
11
00
00
11
10
10
11
00
00
00
10
10
10
01
00
00
01
01
01
00
10
11
11
00
00
01
10
11
00
01
01
00
10
10
11
00
11
00
11
10
10
11
01
10
00
01
10
10
00
00
10
00
01
10
10
01
00
10
11
11
00
00
01
11
11
00
10
00
01
00
01
10
11
00
11
00
01
10
11
10
01
00
00
10
11
01
01
00
10
10
10
01
11
10
00
00
10
10
11
01
00
00
10
11
00
00
10
10
00
00
00
10
00
00
10
00
00
00
11
00
11
10
10
11
10
10
11
11
00
00
00
11
10
10
11
10
01
10
00
10
00
00
00
01
10
00
01
10
11
10
00
10
10
10
00
01
11
10
10
00
11
01
00
01
00
00
00
10
10
10
11
00
01
10
11
00
01
00
10
11
10
01
01
00
11
01
10
10
10
00
01
10
00
11
11
00
00
10
10
10
11
01
11
10
11
00
11
00
11
11
01
10
11
00
01
01
10
00
00
10
11
00
00
10
10
10
00
00
10
10
00
01
10
11
10
00
10
10
10
10
00
01
01
10
01
00
00
10
00
01
10
10
01
00
11
10
10
10
10
10
10
10
10
01
10
10
00
10
11
11
00
00
10
00
01
10
11
11
00
00
00
01
01
01
00
10
10
00
01
10
11
01
00
10
00
00
00
00
01
11
10
01
10
01
01
01
10
11
00
01
01
10
10
00
10
11
01
10
00
11
00
01
10
10
00
00
01
00
10
11
10
10
01
11
01
11
11
11
10
00
10
11
00
01
10
10
00
10
00
01
10
11
01
00
01
10
11
10
00
00
10
10
01
00
10
10
00
00
10
11
01
00
00
10
10
00
11
10
11
01
11
11
00
10
01
01
00
01
10
01
11
10
10
10
01
00
10
11
00
10
00
01
01
01
11
10
10
11
01
00
00
10
11
10
00
00
01
10
10
10
00
10
00
00
10
10
00
11
00
01
11
11
11
11
10
00
00
10
00
01
00
10
10
10
00
01
11
00
10
10
00
10
01
01
10
00
01
10
01
10
00
01
10
10
11
10
10
10
11
00
00
11
00
01
10
10
11
10
00
11
00
00
01
10
00
00
10
11
00
10
00
10
10
00
10
11
00
11
00
01
11
10
00
10
11
00
01
10
10
10
10
01
10
00
01
10
00
00
00
00
10
00
11
00
00
10
10
00
00
00
10
01
01
01
01
11
10
00
11
10
10
00
00
11
11
01
00
10
00
00
01
10
00
00
10
00
01
01
10
10
00
11
01
11
11
00
00
00
00
10
10
00
10
10
01
00
00
01
01
00
01
00
00
01
10
01
10
11
01
11
00
00
10
11
01
00
10
10
11
01
11
00
01
00
00
00
10
11
00
01
10
00
10
00
11
00
11
11
10
00
00
11
10
11
10
00
00
10
10
00
01
11
10
00
11
00
10
00
00
10
00
10
10
00
11
10
10
00
01
10
01
10
01
01
10
00
10
10
00
00
10
00
01
10
01
00
10
10
10
10
10
10
01
00
00
10
10
00
10
10
10
10
00
00
10
10
10
10
00
10
10
10
10
00
01
10
10
01
00
10
01
00
10
00
10
00
10
00
11
10
00
00
10
10
10
00
10
10
10
01
11
10
00
11
00
10
11
00
00
00
01
11
10
01
01
00
00
11
10
10
00
00
10
00
11
00
10
11
00
00
10
10
10
00
00
00
00
00
01
00
01
00
10
11
00
10
10
00
00
10
01
10
10
01
00
01
11
11
01
10
00
10
11
00
10
00
00
10
00
01
00
00
10
00
10
11
01
10
11
10
10
10
10
10
00
00
10
10
11
10
00
00
10
00
00
10
10
10
00
11
11
10
01
10
10
11
00
00
10
00
00
11
10
10
01
00
11
00
00
10
11
11
10
10
11
10
00
11
00
01
11
11
01
00
11
01
01
10
00
00
00
01
11
10
11
11
00
01
00
11
01
10
00
00
10
10
01
00
00
11
10
11
00
11
10
00
00
11
00
11
10
10
00
11
00
01
00
10
10
10
10
00
00
01
00
01
11
00
00
11
11
10
10
11
00
01
01
10
01
00
10
01
11
01
11
11
00
10
00
01
10
10
00
10
11
10
01
01
01
10
01
00
10
01
00
11
00
01
11
00
10
10
10
10
00
10
00
00
00
00
00
01
10
10
00
00
10
11
11
00
10
10
11
11
10
00
00
00
10
11
00
10
11
01
10
11
00
11
01
01
10
00
10
10
10
00
00
01
11
10
01
10
10
01
00
10
00
10
10
00
11
10
00
00
01
00
00
00
01
00
10
10
10
11
10
10
00
00
10
00
00
10
10
10
10
00
00
10
10
01
10
00
01
00
01
11
10
11
11
11
10
11
00
00
10
10
10
00
10
10
10
01
00
10
10
00
10
10
01
11
00
11
11
10
00
01
00
11
11
01
10
01
01
10
00
11
00
01
00
01
10
10
00
00
01
10
11
00
10
10
10
00
10
10
11
00
00
11
11
11
00
01
11
01
10
11
10
01
10
01
10
10
00
01
10
10
00
00
00
01
01
10
11
00
00
00
10
00
10
11
01
00
01
11
11
00
01
00
00
10
11
01
11
01
00
10
10
00
00
01
11
11
10
00
11
01
01
01
11
10
11
00
00
00
00
10
10
00
01
10
00
10
11
01
01
01
00
11
11
11
10
11
00
00
01
00
10
11
10
00
01
10
10
00
10
01
01
00
11
11
11
00
10
11
01
10
10
01
00
00
00
00
10
11
00
01
00
11
10
10
10
11
10
00
10
11
00
11
00
00
01
10
01
10
10
00
11
10
00
00
11
10
10
10
00
00
10
10
10
01
01
01
10
10
00
00
00
00
10
10
10
10
01
01
10
00
11
00
00
00
11
10
11
00
00
10
00
00
10
01
00
00
10
00
00
10
10
01
10
10
10
10
10
00
00
11
10
01
10
11
11
01
00
10
00
00
10
01
00
00
00
00
01
11
01
00
00
10
10
10
10
11
00
00
10
00
00
00
10
10
01
00
00
10
11
01
00
00
01
11
10
00
10
11
10
01
00
11
10
10
01
00
10
10
01
00
00
11
11
00
01
00
10
11
00
00
00
10
11
00
01
10
01
01
00
01
11
00
10
00
01
10
10
01
01
01
10
10
00
00
10
10
11
00
10
10
01
00
10
10
01
10
00
01
00
10
01
01
11
00
11
00
01
00
01
01
10
10
01
10
11
00
00
10
11
00
00
10
00
00
10
00
11
10
11
00
11
11
01
11
01
10
10
11
01
10
10
00
10
01
10
10
01
00
00
11
00
11
11
00
00
00
10
11
00
00
10
00
00
10
00
00
11
10
11
11
10
10
00
01
00
10
10
10
11
00
11
11
01
00
00
00
10
11
00
00
10
00
01
00
10
11
00
00
01
10
10
00
11
10
00
00
00
00
00
01
10
01
00
00
00
10
01
00
00
10
10
00
10
00
10
10
00
10
10
00
00
00
10
10
01
01
00
00
10
00
00
11
01
11
10
10
01
01
00
00
00
11
10
01
10
00
01
01
11
11
10
01
01
00
00
00
11
10
11
00
10
00
11
10
01
11
10
10
01
10
11
01
01
00
10
11
00
00
10
10
00
00
10
10
10
01
00
11
00
00
01
11
00
01
00
10
00
10
00
01
10
10
10
10
11
11
00
00
10
00
10
10
11
11
10
11
00
00
01
01
00
11
00
10
00
10
00
00
10
01
00
00
00
01
10
00
01
10
10
00
00
00
00
10
00
11
10
11
11
10
00
01
10
11
10
00
10
00
00
11
11
00
10
11
00
00
01
10
11
10
11
00
10
11
00
11
10
01
10
10
01
00
10
10
10
01
00
01
10
10
00
00
00
11
00
00
01
01
00
11
10
01
10
11
00
00
10
10
10
00
10
01
00
10
10
00
11
10
01
00
10
10
10
11
11
00
00
00
00
01
00
10
10
11
10
00
00
10
10
10
01
00
11
00
00
10
10
00
10
00
01
00
10
01
10
10
00
00
10
11
00
00
10
11
00
00
00
10
10
10
00
01
00
10
10
10
10
10
00
00
11
10
01
01
01
01
10
01
11
11
01
00
10
00
00
11
01
11
01
11
10
00
10
10
10
11
11
01
00
00
00
10
11
11
01
10
00
00
00
00
10
10
11
00
00
10
11
00
01
00
10
00
11
00
00
11
01
10
10
01
10
00
00
10
10
10
10
01
11
10
10
00
01
11
00
10
00
00
11
10
00
00
11
10
10
00
10
00
00
10
11
01
01
00
01
00
01
00
01
01
10
01
10
10
11
00
01
10
01
10
10
00
10
11
00
10
10
10
10
01
00
01
10
11
11
00
10
10
01
10
00
00
00
11
11
10
11
10
10
10
00
00
00
10
01
11
10
10
00
10
00
11
01
00
10
10
10
00
11
10
00
00
11
10
01
10
10
01
11
11
00
10
10
00
00
10
00
00
01
01
00
01
00
10
00
00
11
11
10
00
10
00
01
00
00
10
10
10
11
01
00
00
00
10
11
10
01
01
11
00
10
11
11
10
00
11
10
01
00
00
10
00
00
10
10
00
10
11
01
11
00
01
11
01
01
00
00
10
00
00
10
10
01
01
10
11
00
11
10
11
10
01
10
00
10
10
00
00
00
10
11
10
10
00
10
11
00
01
10
10
11
00
11
11
01
00
01
11
10
00
00
00
10
01
00
00
01
11
11
10
01
10
00
01
11
10
01
00
11
10
11
10
01
00
11
11
00
00
10
10
01
00
10
00
00
11
10
10
00
11
00
10
11
10
10
10
10
01
10
10
00
11
10
11
00
00
00
00
10
00
10
10
11
00
00
01
10
10
01
10
10
10
00
00
01
00
00
10
11
01
10
10
01
01
11
00
11
10
00
11
01
01
10
00
01
00
00
00
11
11
00
10
01
10
11
10
11
00
01
10
01
00
10
10
00
10
11
00
00
10
10
10
00
10
00
10
10
11
01
00
10
00
10
10
10
00
10
00
00
11
11
11
11
10
10
11
10
00
00
10
00
01
11
00
00
11
00
01
11
10
00
00
01
00
10
00
10
10
11
11
00
10
11
10
11
00
00
11
10
00
10
10
01
00
01
11
00
00
10
10
10
00
00
01
10
10
01
10
11
11
10
00
01
10
10
00
00
01
10
01
10
00
01
01
10
10
00
11
10
00
10
11
00
00
10
10
01
11
00
00
10
00
10
11
10
00
00
10
00
01
10
01
01
10
00
10
01
10
01
01
11
10
10
00
00
01
11
11
00
00
10
11
10
00
00
10
01
00
01
10
10
10
00
10
10
11
00
01
00
00
00
00
00
11
11
01
10
10
00
10
10
00
00
10
00
00
11
00
00
00
00
10
10
00
11
10
00
00
11
11
01
10
01
00
10
01
00
10
11
00
00
10
00
00
10
01
00
10
11
10
00
10
01
01
10
11
00
11
11
01
10
01
00
10
11
01
00
11
11
00
11
01
00
10
10
01
00
00
11
10
01
11
10
00
10
10
11
00
10
11
00
10
01
01
10
01
00
11
10
11
01
00
00
11
01
00
00
10
11
10
00
01
01
00
10
10
00
00
01
00
10
10
10
11
01
01
11
00
00
00
11
11
01
00
00
00
11
11
00
11
10
01
10
11
00
01
11
11
10
01
01
10
00
00
10
11
00
01
10
00
00
10
00
10
10
00
01
01
00
11
01
00
11
01
00
10
10
01
01
01
10
10
10
01
01
01
00
10
00
01
00
10
10
00
11
10
10
00
00
00
10
00
01
10
10
00
11
10
10
10
00
00
01
10
10
00
00
00
00
11
00
00
10
01
11
10
00
10
11
00
11
00
10
00
10
00
00
10
01
00
01
10
10
00
10
10
11
10
00
01
01
01
10
01
01
00
10
00
00
10
10
00
11
10
00
10
00
00
01
00
00
00
10
11
11
10
01
00
10
10
01
00
10
11
10
10
10
01
00
10
00
11
01
01
00
11
00
11
11
00
10
10
10
00
11
00
01
10
10
00
00
10
00
00
10
00
01
11
11
10
01
00
10
01
01
11
10
00
01
00
11
10
10
00
01
10
11
00
00
00
00
01
11
10
01
10
10
11
10
00
00
01
11
10
00
00
00
10
00
10
01
00
00
00
00
10
00
01
10
11
10
01
01
10
10
00
11
10
10
00
10
10
10
00
00
11
10
00
00
01
00
00
10
11
11
11
00
00
10
10
00
10
10
00
10
00
10
10
10
00
01
01
00
01
11
10
01
00
00
10
00
01
10
10
11
00
11
10
01
11
10
11
00
10
10
01
01
00
00
00
00
11
00
01
10
00
11
00
10
10
01
00
11
00
10
00
01
00
10
10
10
01
00
00
11
10
01
00
00
01
10
00
10
01
00
00
10
10
00
11
01
10
10
11
10
01
10
10
01
00
01
10
10
00
10
10
10
00
00
01
11
10
01
10
10
01
00
01
10
00
00
10
00
10
11
00
11
11
10
11
01
00
01
11
10
10
10
00
01
10
10
10
10
00
11
01
01
10
00
00
11
10
10
10
11
01
11
11
10
01
01
10
00
11
00
00
00
01
11
10
11
10
00
00
10
00
01
11
10
10
00
10
10
00
10
11
01
00
10
00
00
10
01
01
11
10
01
10
11
00
11
10
01
01
11
00
01
01
10
10
00
00
11
10
01
01
10
11
10
10
01
00
00
10
01
10
00
10
10
00
10
00
11
00
11
10
00
01
01
11
00
00
10
00
01
00
00
11
01
01
00
00
10
10
00
10
10
00
10
10
00
01
00
10
10
10
00
00
10
10
00
01
00
00
00
11
10
11
10
00
01
00
00
01
01
10
10
00
00
11
11
11
10
00
11
00
10
10
11
00
01
10
10
10
00
00
11
11
00
00
10
00
00
00
00
11
00
10
11
00
00
01
10
10
01
11
00
00
10
00
00
01
11
01
00
10
01
11
00
10
10
10
10
11
00
00
10
10
11
10
11
01
01
00
00
10
10
10
00
00
11
11
01
00
00
10
10
01
01
10
11
00
00
11
00
00
11
10
00
10
01
10
10
01
01
11
01
10
10
00
00
10
01
00
10
11
10
11
00
01
11
00
00
11
00
10
00
00
00
11
10
00
11
11
00
01
00
10
00
10
00
11
00
00
10
11
10
01
10
00
00
01
11
10
01
00
00
11
10
11
00
00
10
10
00
00
10
11
11
10
00
00
10
10
10
10
00
00
00
10
00
11
10
01
00
11
00
00
11
11
10
01
00
10
11
00
00
10
01
00
01
01
10
01
01
10
10
01
00
00
00
11
10
00
00
00
10
00
10
10
00
01
00
10
00
00
00
01
10
10
10
10
11
01
00
10
01
01
10
00
00
10
10
10
00
00
10
00
00
00
00
00
10
00
11
01
01
10
00
00
10
11
10
00
00
11
00
10
00
00
11
00
11
00
10
11
00
10
00
01
11
00
00
10
00
11
00
01
11
00
00
01
00
11
00
00
10
01
01
11
10
00
10
10
00
00
10
10
00
01
00
01
00
10
11
00
10
10
00
01
00
10
10
00
00
10
10
10
00
11
10
00
00
00
10
00
00
00
00
01
10
10
00
11
11
10
00
00
01
10
10
11
00
10
10
10
10
10
11
10
01
00
01
10
01
01
00
10
10
00
00
10
00
11
11
11
11
10
11
00
10
00
11
10
01
11
01
11
01
01
00
00
00
11
00
01
10
11
11
10
00
11
10
00
01
11
10
01
01
10
11
10
10
00
00
00
10
00
10
00
00
11
10
10
01
01
10
00
00
01
00
10
11
10
11
10
11
00
00
10
10
00
10
10
01
00
10
10
00
10
11
11
00
01
10
00
01
00
11
00
00
01
10
10
10
00
00
00
10
01
00
11
00
01
00
10
00
00
10
11
10
10
10
10
01
00
10
10
10
10
01
11
01
01
10
10
10
11
11
00
01
01
10
10
00
00
11
10
10
00
01
10
00
10
10
10
10
00
11
01
00
10
10
00
10
00
00
10
11
00
00
00
01
00
00
00
10
10
01
10
00
10
10
10
10
01
00
01
11
10
01
11
00
00
00
11
10
10
01
00
00
00
10
11
01
00
10
00
10
10
00
00
00
11
11
10
10
00
01
01
11
10
00
00
10
10
00
00
10
01
00
00
01
00
11
10
10
00
00
11
01
11
10
11
10
10
10
00
00
10
10
00
10
00
10
11
00
01
11
10
01
11
00
00
10
10
10
00
01
00
10
01
10
00
10
01
10
01
00
00
00
10
01
11
01
00
11
00
11
11
00
00
10
11
10
01
00
11
01
01
11
01
11
00
00
11
10
00
00
10
10
10
00
01
00
00
11
01
00
11
10
10
10
10
00
00
01
11
00
10
01
01
11
10
00
01
10
11
00
01
10
11
00
00
11
01
00
10
00
11
00
00
10
10
00
00
10
10
11
01
10
01
00
10
10
00
01
00
00
10
00
10
10
00
01
00
11
10
00
10
10
01
10
10
10
10
00
10
10
10
00
00
00
00
00
11
10
00
00
00
11
00
00
10
00
01
10
01
00
10
00
11
01
01
01
10
10
11
01
00
11
10
01
00
11
00
11
11
01
01
01
00
11
10
11
00
00
11
00
10
10
10
01
00
00
00
10
10
11
00
01
11
00
11
10
00
10
00
00
10
01
10
10
10
00
10
10
00
00
10
11
00
00
11
00
10
01
10
00
01
10
01
00
10
11
10
01
01
10
01
00
11
11
10
01
10
11
11
00
01
01
10
10
01
10
01
10
11
01
10
10
01
00
10
10
00
10
01
00
10
10
01
00
00
10
10
01
00
10
00
01
00
11
11
11
11
10
11
00
10
10
10
01
00
00
10
10
00
00
00
11
10
00
01
11
11
00
11
10
10
11
10
00
00
11
00
10
10
01
00
10
10
11
10
00
10
00
11
11
11
01
00
01
01
10
11
10
11
01
01
11
01
11
10
01
10
11
00
10
11
00
00
10
11
00
01
10
10
00
01
00
01
10
10
11
10
00
00
10
00
10
00
10
11
01
00
10
00
10
00
01
11
11
00
00
01
01
01
10
10
00
10
00
01
00
11
10
10
00
10
11
01
00
10
10
00
10
00
11
01
10
00
00
10
01
10
10
10
11
01
00
10
00
01
11
10
00
10
11
11
11
10
10
10
10
01
10
01
00
10
10
10
01
10
00
00
10
10
11
01
00
01
11
10
10
01
00
10
11
10
10
00
10
11
00
01
00
11
00
00
10
10
11
00
10
11
10
10
01
11
00
01
11
00
01
11
00
00
10
11
10
00
01
10
01
00
10
00
00
01
00
01
10
11
01
10
00
01
10
10
10
00
10
00
10
10
00
10
00
00
10
11
11
00
00
00
00
10
10
00
10
11
00
00
11
00
10
10
01
11
11
10
11
11
10
00
01
00
11
10
11
00
00
10
11
00
00
00
10
10
00
00
11
11
10
01
10
00
10
00
01
10
10
01
00
10
00
10
00
01
10
10
10
10
00
00
10
10
10
00
10
10
00
10
11
00
01
00
00
00
01
00
10
00
01
10
11
00
01
10
01
01
10
00
10
11
00
01
10
00
00
00
10
11
00
01
01
10
10
01
11
00
10
10
01
10
00
00
11
10
01
11
00
10
10
10
00
00
10
01
01
10
01
10
01
10
00
10
11
01
11
11
01
00
00
10
01
01
10
11
00
11
10
10
10
00
00
10
00
01
00
10
11
01
11
11
00
00
11
11
00
01
11
10
11
01
10
00
10
10
00
10
10
01
00
00
10
01
01
10
10
00
10
01
10
00
10
00
00
00
10
00
11
10
10
00
11
00
10
00
10
00
10
00
00
10
10
11
10
01
10
11
10
00
01
11
10
11
10
00
00
10
10
10
00
01
01
01
00
10
00
00
10
01
11
10
10
00
00
01
10
00
01
00
10
01
01
10
11
01
10
10
00
00
11
00
00
10
10
10
00
01
00
01
00
01
01
01
00
01
10
11
01
01
00
11
10
00
01
00
11
10
10
10
00
10
10
00
00
00
00
10
00
10
00
00
10
00
00
10
10
10
10
10
00
11
00
01
01
00
01
01
10
01
00
00
00
11
10
11
00
00
11
11
10
00
10
11
00
00
00
10
11
01
00
11
10
10
11
10
01
10
11
00
00
00
10
10
00
00
10
10
01
10
00
10
00
10
10
10
00
11
00
00
10
10
00
11
11
10
11
11
00
11
10
00
10
01
00
11
11
01
00
10
10
00
01
10
00
10
10
01
00
00
10
10
01
10
00
11
10
00
11
01
00
10
11
00
00
10
10
10
01
00
10
00
00
10
10
10
00
11
11
10
01
00
00
11
10
00
00
00
10
10
10
01
01
10
10
10
00
11
00
00
11
00
01
00
01
10
00
00
10
01
10
10
00
00
01
00
00
11
10
01
00
01
01
00
10
10
10
01
11
11
00
10
10
01
01
11
00
00
01
01
01
11
10
10
10
01
10
10
00
00
11
01
10
10
00
00
00
11
10
00
00
01
01
10
10
00
01
11
01
11
01
11
01
10
01
10
10
00
01
10
10
00
01
10
11
00
00
10
10
00
11
10
01
10
10
10
10
10
00
00
00
10
10
01
10
10
00
10
10
11
01
01
11
00
00
10
00
00
10
01
00
10
01
10
10
00
01
10
00
10
00
10
10
01
10
10
10
00
01
11
11
10
11
00
00
10
01
00
00
00
10
01
00
11
01
11
10
10
01
01
00
00
00
10
01
10
11
11
00
10
00
10
10
11
10
00
11
01
00
10
00
10
10
01
01
10
10
01
11
10
01
10
01
00
11
01
00
10
10
00
01
10
10
00
10
11
10
01
10
10
01
11
11
00
01
00
00
10
00
10
10
11
11
00
00
10
01
01
01
11
11
01
00
00
10
10
00
00
10
11
01
01
11
10
01
10
11
00
00
10
10
10
00
10
10
00
00
00
00
10
00
01
01
00
11
10
00
10
00
11
00
00
11
11
10
00
11
00
00
00
10
10
00
00
10
11
01
11
00
01
00
10
10
00
10
11
10
10
01
11
00
11
00
00
00
10
11
00
01
10
00
01
01
10
00
10
10
11
10
00
00
00
01
00
00
00
10
00
01
00
10
10
10
10
00
01
10
10
11
00
00
10
10
10
01
01
10
10
11
00
10
10
11
00
10
11
01
00
10
00
00
11
10
00
10
10
10
10
01
10
10
00
10
01
10
10
00
10
11
11
10
11
11
00
10
00
01
01
01
10
10
01
10
11
00
10
11
00
00
01
00
10
11
00
11
10
10
00
01
01
00
10
10
00
10
00
10
10
11
00
00
11
00
00
01
10
10
10
00
00
00
11
11
10
01
10
10
00
01
11
01
10
11
00
10
11
01
10
10
00
00
10
00
10
10
00
00
10
11
01
00
01
00
10
01
11
00
10
10
00
10
01
10
00
10
01
10
10
00
00
10
00
11
11
00
10
10
11
10
00
11
01
00
00
10
10
00
00
10
10
00
01
00
10
01
10
01
00
10
01
00
00
00
00
10
10
10
10
11
00
10
11
11
01
00
10
01
00
01
00
11
01
01
01
11
10
00
00
01
00
11
11
00
00
10
10
00
00
10
10
00
10
10
00
00
11
01
11
11
10
10
01
11
11
10
01
11
01
00
11
10
00
10
10
00
01
10
11
01
00
00
01
00
10
10
00
00
00
10
11
10
10
10
00
01
10
10
01
10
00
11
10
11
10
01
10
00
00
10
01
00
10
10
10
00
00
10
11
00
10
00
00
11
10
00
10
10
01
10
01
01
01
11
10
10
10
11
00
00
01
10
01
11
10
01
01
00
11
00
00
00
00
10
10
10
11
11
10
01
01
01
10
00
10
10
10
01
10
10
10
00
00
00
10
00
11
10
00
00
01
10
00
00
10
11
00
10
11
00
00
01
11
10
11
01
01
00
11
10
00
00
10
00
10
10
00
00
11
10
01
10
01
10
10
11
00
11
11
01
01
01
01
11
00
00
01
01
01
10
10
00
00
11
10
00
01
01
11
10
01
10
01
01
00
10
11
10
10
10
00
10
10
00
01
00
00
01
10
00
10
11
00
10
01
00
10
10
00
00
00
00
11
10
11
00
10
00
01
00
11
00
10
00
10
00
11
10
00
00
10
10
01
01
10
10
00
01
00
01
10
11
11
01
10
00
00
11
00
01
00
01
01
00
10
10
10
00
00
10
10
00
00
11
00
00
00
10
00
01
10
00
11
10
10
11
00
00
11
10
10
10
00
00
01
11
01
10
11
00
10
11
00
10
10
01
00
11
11
10
01
10
10
01
00
10
11
10
01
10
10
00
00
00
10
00
00
11
10
00
10
00
10
10
10
10
10
01
10
10
00
00
00
00
00
10
00
10
00
00
10
11
01
10
10
11
11
00
01
01
10
11
10
00
10
00
00
00
00
11
00
10
11
00
10
01
00
10
11
00
00
10
10
01
10
11
00
00
11
00
00
10
00
10
11
10
01
10
10
00
00
10
10
01
01
00
10
10
11
11
10
00
00
00
01
00
10
10
00
10
11
01
10
11
00
10
11
00
01
10
10
01
11
10
01
01
10
10
00
11
10
01
00
00
10
10
00
00
00
11
01
00
10
00
01
00
10
10
00
10
11
11
11
11
00
00
11
10
10
00
01
10
11
00
11
11
00
00
00
11
10
00
00
00
10
11
10
10
00
10
01
01
11
10
10
00
00
11
00
11
10
01
10
10
11
00
00
10
10
00
01
10
10
01
01
00
10
00
00
10
01
00
10
10
11
11
01
00
01
00
10
00
10
10
01
00
01
01
10
00
11
00
00
01
11
10
01
10
10
10
11
01
00
00
10
10
01
10
11
01
00
10
00
00
10
00
00
10
10
10
11
10
00
11
01
10
00
00
00
11
10
10
00
00
10
00
01
00
00
10
10
11
10
11
01
01
11
00
10
01
00
10
10
10
00
10
00
01
00
00
11
10
11
10
00
00
10
10
10
11
00
10
01
01
00
10
10
00
10
00
00
10
10
00
10
00
00
10
10
10
00
10
00
10
00
10
00
00
01
11
00
00
00
10
10
00
11
00
01
10
11
01
01
10
00
00
10
00
10
11
01
00
00
10
01
00
10
10
01
01
10
01
01
00
00
10
00
00
10
10
10
11
10
11
11
01
10
01
01
00
00
10
11
00
00
10
10
00
10
01
01
00
10
11
10
01
01
10
00
01
10
01
00
10
10
11
00
00
00
01
00
10
10
00
01
10
11
01
00
10
00
11
00
00
10
10
00
00
10
00
00
11
10
00
11
00
00
10
10
00
01
10
01
00
10
10
00
01
10
00
00
10
01
00
11
10
00
01
10
11
00
10
01
00
00
11
11
11
00
00
10
10
10
11
00
00
00
01
10
11
10
00
01
00
11
00
00
10
01
11
01
00
10
10
10
01
00
11
00
10
00
00
11
01
10
10
11
00
00
00
11
10
00
10
01
01
00
10
00
10
11
01
01
00
11
00
00
10
10
01
10
10
01
10
00
10
11
00
00
01
10
10
10
00
00
01
00
10
00
00
00
10
01
10
10
01
00
00
00
00
10
10
10
00
01
10
11
11
10
10
11
11
01
01
10
10
00
00
11
10
01
01
11
00
01
00
00
00
11
11
00
10
00
00
11
00
01
11
10
01
10
10
00
11
10
00
01
10
01
11
10
11
01
01
01
10
10
10
00
01
00
00
10
01
10
10
11
10
00
10
00
11
00
10
11
01
10
01
00
01
00
01
01
00
10
01
11
10
10
01
00
10
10
00
11
00
00
10
00
10
00
00
11
01
00
11
01
10
10
10
10
11
11
00
01
11
10
10
10
01
01
11
10
11
00
00
10
00
11
00
00
10
00
11
00
10
10
11
10
00
00
01
11
10
00
10
10
00
10
01
00
00
10
01
11
10
11
01
10
10
00
01
10
10
00
10
10
01
00
11
00
10
01
00
11
10
10
00
00
00
10
00
00
10
10
10
11
00
00
11
10
01
00
10
00
11
00
11
10
00
00
10
11
01
10
01
00
11
11
10
01
00
00
00
10
11
10
00
00
10
00
01
00
00
00
11
00
01
11
10
00
01
10
00
00
01
01
10
00
10
11
01
10
01
11
11
01
10
01
10
00
00
10
10
00
00
01
00
11
11
10
10
11
00
00
11
11
10
01
00
10
11
10
01
00
00
11
10
00
01
00
11
01
00
10
00
10
10
10
00
10
10
10
10
00
10
00
00
11
10
10
00
10
10
10
00
10
11
00
11
01
00
01
11
00
01
10
10
10
00
01
11
10
10
11
10
00
01
10
10
01
10
00
11
00
10
11
10
00
01
00
11
00
00
10
01
11
11
10
00
11
01
00
11
10
00
10
11
01
00
01
10
11
10
10
00
01
10
11
00
00
11
10
01
01
10
10
00
01
11
00
01
00
00
10
00
01
10
00
00
11
10
00
00
10
01
10
00
00
00
10
11
10
01
10
00
10
01
00
11
10
00
00
10
10
01
00
00
01
10
11
11
00
11
00
01
11
01
00
11
11
00
11
00
11
10
00
00
01
00
11
10
00
00
10
00
10
00
01
01
10
00
00
00
10
00
10
10
00
01
00
11
00
10
00
00
10
11
00
00
10
10
10
11
01
01
10
00
10
01
10
10
10
01
00
00
11
00
00
10
11
11
01
00
01
01
01
10
11
01
10
00
01
10
10
11
00
10
10
10
10
01
11
00
10
00
00
11
10
00
11
11
01
00
01
10
01
10
00
01
10
10
00
11
10
10
00
00
10
10
11
11
00
00
10
10
01
00
10
10
11
00
10
10
00
10
00
10
11
11
01
00
00
00
10
10
10
11
00
11
10
11
10
00
10
00
01
11
00
00
00
10
10
11
11
11
00
01
00
10
10
10
01
00
01
11
10
00
00
00
11
00
00
10
10
00
01
10
00
10
11
00
11
10
01
00
00
10
00
10
11
10
00
10
10
00
00
11
10
00
00
00
10
10
11
10
11
00
01
10
00
00
11
00
10
11
01
00
10
11
00
11
00
01
00
10
10
00
10
00
01
10
10
01
10
10
01
01
10
00
11
00
10
11
11
00
00
00
10
00
10
10
00
00
11
00
11
00
00
10
10
11
00
00
10
11
10
01
00
11
00
00
00
11
00
10
01
01
11
10
00
01
11
10
00
10
00
00
01
01
10
10
00
10
10
00
10
10
10
00
10
00
10
01
01
11
10
10
00
00
01
01
10
10
11
10
01
00
11
00
00
00
00
10
11
10
01
10
01
00
01
00
10
00
01
01
11
10
00
11
10
00
01
10
10
10
00
10
00
10
11
01
11
10
00
10
11
01
00
00
10
00
00
00
11
10
10
00
00
01
10
10
01
00
00
00
01
10
10
01
00
00
10
00
11
01
00
11
10
00
01
00
00
00
10
10
00
00
10
10
11
01
00
10
00
10
10
01
10
00
11
10
01
10
01
11
00
00
01
00
00
10
10
10
11
01
00
10
10
11
10
10
00
10
10
00
01
11
10
01
00
10
10
10
00
00
00
10
11
01
11
00
00
10
00
11
11
01
00
10
01
11
11
11
10
01
10
00
00
11
10
10
10
00
00
11
10
00
10
00
10
00
00
10
00
00
10
00
10
11
01
00
00
00
10
00
10
00
00
11
10
01
00
11
00
10
00
00
01
11
00
01
00
01
10
01
00
10
00
10
10
00
01
10
01
00
00
00
00
10
10
00
00
11
10
00
00
00
00
10
00
10
01
01
00
10
10
00
00
00
11
10
00
01
10
00
00
10
00
10
00
10
00
01
10
10
10
01
11
01
10
01
10
10
00
00
10
10
10
00
00
11
00
10
11
10
10
10
00
11
10
10
00
00
10
10
00
10
11
00
11
10
11
10
10
00
01
00
10
11
01
10
10
10
01
10
11
10
10
10
11
00
11
01
01
11
00
11
01
01
10
11
00
00
00
10
10
00
01
11
11
11
01
11
01
00
00
10
10
01
11
10
00
00
01
10
00
01
10
01
11
00
00
10
10
11
10
00
10
11
10
00
11
00
00
11
11
11
10
11
00
00
10
11
01
10
01
01
01
10
11
10
11
10
00
00
10
00
11
00
00
10
01
00
01
01
11
11
01
11
10
01
10
10
00
00
11
10
00
10
10
00
00
01
10
11
10
01
01
00
00
10
10
01
11
11
01
01
11
00
11
01
11
10
00
00
10
10
00
00
10
10
00
11
11
10
01
00
11
00
01
00
10
10
00
10
10
10
00
10
10
11
00
01
11
00
00
01
00
01
00
10
10
10
10
00
00
11
10
00
00
11
11
11
00
00
00
11
10
10
01
00
01
01
11
10
01
10
00
11
10
00
00
00
11
10
11
10
00
11
10
00
01
00
10
00
11
10
00
10
10
11
00
01
00
00
10
10
10
01
00
01
10
10
10
10
11
10
00
00
10
01
00
00
11
01
01
11
10
00
11
10
11
11
00
00
00
00
11
10
00
01
01
10
00
10
11
10
10
00
00
10
01
10
10
00
00
01
10
11
10
10
10
11
10
00
10
11
00
01
00
01
01
10
00
00
00
10
10
01
10
10
11
10
00
00
00
10
00
01
10
10
11
00
10
00
00
01
10
00
00
00
00
10
10
00
00
10
00
10
10
01
00
10
10
00
00
00
10
00
10
01
00
10
11
00
11
10
10
01
00
10
01
01
10
11
10
00
11
00
01
10
00
10
10
01
11
11
01
00
11
11
00
11
01
01
10
00
10
00
11
11
10
00
00
00
10
01
11
00
10
11
11
11
01
01
00
10
00
10
10
00
01
11
10
00
01
10
00
00
10
10
10
10
01
10
10
00
10
00
01
10
00
10
00
00
10
00
01
10
11
10
00
00
01
10
11
00
00
11
10
00
00
01
10
00
11
00
00
11
00
11
11
00
11
10
01
00
01
01
00
11
00
01
10
01
10
00
01
11
00
00
01
11
01
11
11
00
01
00
11
01
00
10
11
00
00
00
01
10
10
00
01
01
11
10
10
00
10
10
11
00
00
00
01
00
00
10
10
01
00
00
01
10
10
01
01
11
10
10
10
01
00
10
00
11
00
00
11
00
00
10
10
01
10
10
00
11
00
10
10
00
00
11
00
00
11
00
11
01
11
00
11
10
10
10
10
10
00
10
00
01
11
10
10
10
01
00
00
00
10
00
00
11
10
00
01
00
00
00
00
11
10
00
00
01
10
00
00
01
11
10
00
10
00
10
11
00
10
01
00
10
10
11
00
10
11
01
00
00
10
11
00
11
10
01
01
11
11
01
00
10
01
01
10
01
10
10
10
10
00
10
00
01
10
10
11
01
00
00
00
11
11
10
00
00
10
10
00
11
11
10
01
01
00
01
10
01
10
11
10
10
01
00
01
10
01
11
00
00
00
00
01
00
10
10
10
11
00
10
10
01
00
10
01
10
10
00
11
01
00
10
10
11
00
11
10
01
01
00
01
00
10
11
10
00
01
00
10
10
10
00
01
01
11
10
00
11
00
00
10
00
00
10
00
01
11
10
10
01
10
00
10
01
10
10
11
10
10
01
10
01
00
11
00
01
10
00
10
00
10
01
10
10
01
10
10
00
10
10
00
00
10
10
01
10
10
00
01
00
00
11
11
01
00
10
01
00
00
01
10
10
10
11
00
00
10
00
10
10
00
01
10
00
00
10
00
11
01
00
10
10
11
00
11
00
11
11
00
00
01
00
10
10
00
11
10
11
10
00
10
10
10
10
00
00
10
10
10
11
10
00
10
00
10
10
00
00
10
11
00
11
00
00
11
00
10
00
00
10
00
00
11
10
11
10
10
10
00
10
01
10
11
10
00
10
11
00
10
00
00
10
11
11
01
11
01
01
10
10
00
00
11
10
00
00
10
01
01
11
00
10
00
10
10
00
10
00
00
10
00
11
00
10
11
10
11
10
10
00
11
10
11
00
01
00
10
10
10
01
00
10
10
00
01
11
10
00
00
00
10
10
10
11
00
11
00
01
01
11
00
10
10
00
00
10
10
00
10
10
01
00
11
11
00
10
10
11
10
00
01
11
10
00
01
10
11
10
00
00
11
10
01
10
10
10
10
00
00
00
10
10
00
00
10
00
10
10
11
10
01
10
11
00
10
01
10
00
00
10
11
00
01
10
10
10
01
01
10
01
00
11
10
01
00
01
00
10
10
10
10
10
10
01
10
00
01
10
00
10
00
00
01
11
10
11
00
10
00
00
00
10
10
10
00
10
01
01
01
00
10
01
11
00
10
10
00
11
10
00
00
11
10
00
10
11
11
10
11
00
11
01
00
01
01
01
11
00
00
11
10
10
11
00
00
10
10
10
00
10
00
00
10
11
10
00
01
10
11
01
00
10
01
11
10
00
10
01
11
01
10
01
00
10
10
00
01
10
11
10
10
10
01
00
00
11
10
01
10
01
10
00
00
01
10
10
00
10
10
01
00
00
00
10
00
10
11
10
00
11
10
01
10
10
00
00
11
01
01
10
00
00
10
00
00
10
11
01
10
01
11
10
01
00
00
01
01
10
10
11
00
10
00
01
01
10
10
00
10
10
10
10
00
11
01
00
11
10
10
10
10
01
01
00
01
11
00
10
11
00
01
10
10
00
10
10
01
10
10
10
00
11
11
10
00
00
11
00
11
10
00
11
11
11
01
10
11
00
00
00
00
10
10
11
10
00
00
10
00
00
10
01
11
10
01
01
00
11
10
00
11
10
11
00
10
10
00
00
00
10
11
10
01
00
10
11
11
11
00
00
00
10
00
11
10
00
00
01
00
11
10
00
00
11
10
10
10
01
00
10
01
01
10
11
01
00
00
10
10
10
01
01
10
11
00
11
00
10
00
01
10
11
00
00
01
00
11
01
00
00
10
10
10
00
01
00
10
00
01
01
11
00
01
11
01
00
11
11
10
11
01
01
11
10
01
11
00
01
10
00
10
11
00
01
01
10
10
10
01
00
10
11
00
10
00
11
10
00
00
00
00
10
10
10
00
00
01
00
11
10
00
10
00
10
00
11
11
00
11
00
00
01
01
10
00
01
10
10
01
10
01
00
11
10
00
00
11
01
01
11
00
10
00
10
10
10
10
00
01
10
00
01
10
10
00
01
10
01
00
10
00
00
11
01
01
00
11
11
11
01
00
01
11
00
10
01
00
10
00
01
10
11
10
00
10
00
00
10
01
01
10
11
00
10
01
00
00
10
10
00
00
00
11
01
00
10
00
10
00
01
10
10
10
00
01
00
00
11
10
00
01
11
00
00
00
00
11
10
10
10
00
01
00
01
10
00
00
01
00
10
00
00
11
01
00
01
00
01
11
10
00
10
00
10
00
00
10
01
10
11
00
00
00
10
11
01
01
10
00
11
10
10
00
11
11
00
00
00
01
11
11
11
00
00
00
11
10
00
10
01
10
11
01
10
10
00
00
00
01
10
10
11
10
01
10
11
01
00
00
10
00
01
00
11
10
00
00
10
00
11
10
00
10
10
00
00
11
10
10
00
10
01
01
11
00
00
10
01
00
10
10
01
00
00
01
10
11
10
11
00
00
10
11
10
00
11
10
10
00
10
10
11
11
10
00
11
00
10
00
11
10
01
00
11
00
11
10
00
01
10
10
01
11
01
00
10
11
01
10
10
10
01
10
10
00
01
00
10
10
00
10
00
11
10
01
00
10
10
00
10
11
00
01
11
00
00
00
10
10
10
10
00
01
10
11
01
00
00
11
01
00
00
11
00
01
10
11
00
11
10
00
00
10
10
00
00
00
00
00
00
00
00
00
10
11
00
10
10
11
00
00
10
10
00
00
00
11
01
01
10
01
01
00
01
11
00
01
10
11
10
00
00
00
11
00
10
10
10
00
00
00
01
11
11
11
10
11
10
01
00
10
10
01
00
10
10
01
11
11
00
10
10
00
01
11
11
01
01
10
11
10
01
10
10
00
00
10
10
10
00
10
10
11
01
10
11
00
00
10
00
00
11
10
00
10
10
10
10
00
01
10
01
11
10
00
10
11
00
01
10
10
00
00
10
01
00
11
01
11
00
01
10
11
11
00
01
01
01
10
10
10
00
11
01
01
10
11
00
11
00
00
00
10
10
00
10
00
10
01
11
00
00
10
00
00
00
10
10
11
01
11
11
00
01
10
10
10
10
00
00
00
11
11
01
11
10
11
11
11
01
00
10
00
10
10
10
01
00
10
10
11
11
00
01
00
10
01
01
11
10
10
11
01
01
11
00
11
10
00
01
10
00
01
00
11
00
10
10
10
11
11
01
00
00
00
01
00
10
00
00
00
00
10
11
00
00
01
11
10
10
00
00
10
00
10
10
00
00
10
10
11
10
10
10
10
01
10
00
10
11
11
10
11
01
01
10
11
00
00
11
10
10
00
11
10
10
00
00
00
10
10
10
10
11
01
10
11
10
11
10
00
10
10
00
01
00
10
00
11
00
11
00
10
01
01
10
00
11
00
11
00
10
11
00
10
00
10
00
00
01
10
11
01
00
10
01
11
00
10
10
00
10
11
00
10
00
11
00
10
01
10
00
10
00
00
11
00
00
11
00
10
00
00
11
00
10
10
01
10
11
10
00
00
10
00
10
01
00
10
01
01
01
10
00
00
11
10
10
10
00
00
10
11
00
10
00
00
01
10
10
01
00
01
11
10
11
00
10
11
10
01
00
10
01
00
00
01
10
10
10
11
10
00
00
01
10
11
10
00
10
10
00
10
10
10
10
00
00
00
10
00
10
11
10
00
00
11
00
10
10
11
10
00
00
10
10
00
00
11
00
00
11
11
01
10
10
00
01
10
01
10
11
01
10
00
00
11
10
10
00
11
00
11
01
01
11
01
10
10
01
00
11
11
10
00
10
10
10
00
01
10
10
01
00
00
00
10
00
00
11
11
10
01
00
00
11
10
00
01
10
00
01
10
00
00
10
11
00
01
10
11
00
00
11
01
10
10
11
10
01
10
00
10
11
00
10
00
10
11
00
10
00
00
01
00
00
11
10
01
11
10
00
10
00
00
01
11
10
00
01
10
10
00
00
10
11
00
00
00
01
10
10
00
11
01
01
00
10
10
00
10
10
10
00
01
11
00
11
00
00
10
01
00
11
00
00
11
10
11
01
01
10
10
10
11
10
00
10
01
00
10
00
10
00
00
11
01
10
11
10
11
01
11
00
00
11
10
10
00
10
11
11
10
10
10
10
11
10
10
00
00
00
01
10
10
01
11
00
11
00
10
10
11
10
01
01
11
11
10
00
00
10
10
11
00
00
10
01
00
11
10
00
10
10
11
01
00
10
01
00
10
10
00
01
10
00
10
11
10
00
11
00
11
00
00
10
01
01
00
10
10
10
01
11
11
00
01
10
11
11
10
00
01
00
00
00
11
10
10
01
01
10
10
00
10
11
00
11
00
00
00
00
10
00
11
10
10
00
00
01
01
01
11
11
10
10
11
10
10
01
00
01
10
10
10
10
01
01
10
10
11
00
11
00
00
11
10
00
00
00
11
00
00
01
11
10
10
11
01
11
10
00
10
01
10
10
00
10
10
10
10
00
11
00
00
11
01
01
00
10
10
00
00
10
10
00
11
00
01
00
10
10
01
10
00
00
10
00
00
11
00
00
10
00
10
10
00
00
00
10
10
00
01
00
10
10
10
10
00
11
10
00
11
00
01
01
01
00
11
10
01
00
11
00
11
10
10
00
00
01
00
10
10
00
00
11
01
10
00
00
01
11
00
01
00
01
10
10
11
00
00
00
10
10
00
00
11
00
00
01
00
00
10
01
10
11
11
10
10
00
11
00
10
10
11
10
01
01
00
01
11
10
10
01
00
01
00
10
10
10
01
01
10
00
00
10
01
01
11
11
00
10
10
00
10
01
00
10
10
01
00
10
01
10
10
10
10
00
00
11
00
01
10
00
00
01
01
10
11
11
10
11
00
10
11
00
10
11
00
01
01
01
11
10
10
10
00
11
00
00
00
10
11
01
11
01
01
10
10
01
11
10
01
10
10
00
00
00
01
00
01
10
10
01
11
10
11
10
00
10
10
00
10
00
00
11
11
11
00
01
10
11
11
11
01
10
01
00
00
00
10
10
00
11
00
10
11
00
10
00
10
10
01
01
10
11
10
01
00
11
00
10
10
00
00
01
00
11
00
00
00
10
11
01
10
10
01
00
10
00
00
10
10
00
10
11
00
00
00
00
10
00
11
11
00
01
10
01
11
00
00
11
01
00
11
10
01
00
11
10
00
10
11
01
00
00
00
10
11
10
10
00
00
10
11
01
01
10
00
01
10
10
11
01
00
10
01
00
11
10
01
10
10
00
00
01
10
10
00
10
10
11
00
00
00
00
11
10
11
10
10
00
01
00
10
01
00
00
11
10
01
00
10
00
10
10
01
11
11
00
00
10
01
00
01
01
10
10
00
00
10
10
11
10
01
10
01
00
00
00
10
10
00
01
10
11
00
10
10
01
10
01
10
00
00
00
11
10
10
01
00
11
10
11
11
11
00
00
01
10
00
00
10
10
01
00
00
11
00
11
10
00
10
00
00
10
00
10
00
00
10
00
01
00
11
00
00
01
10
10
10
10
10
01
00
11
10
00
00
01
10
00
01
10
01
01
00
11
00
10
11
10
01
00
00
11
11
10
11
10
00
10
10
00
10
00
01
00
10
10
01
00
01
00
11
11
00
00
10
10
10
01
01
10
11
10
10
00
11
00
10
11
01
10
01
10
01
01
00
10
10
10
00
00
10
11
00
11
00
01
01
01
00
00
10
11
00
01
10
10
00
10
10
00
00
10
10
00
10
11
00
10
00
10
00
11
01
00
10
11
00
01
11
00
10
01
11
10
10
00
00
10
11
01
11
01
11
10
10
00
01
10
00
00
10
00
00
00
00
10
11
00
10
00
00
00
00
10
10
01
11
01
10
10
00
10
00
01
00
11
10
00
11
11
10
10
00
00
01
10
11
01
00
01
10
10
00
00
11
10
01
10
00
01
10
00
00
01
11
01
01
10
11
00
00
10
00
00
10
11
10
00
10
10
00
10
10
00
00
01
00
10
10
01
10
10
11
00
00
10
01
11
10
10
00
11
01
00
10
00
00
00
01
10
11
01
00
10
11
01
11
00
00
01
11
00
11
01
11
11
10
00
00
11
11
01
00
10
11
10
11
00
10
10
10
10
10
11
00
10
10
00
01
01
11
11
00
01
00
11
00
11
11
01
00
10
00
00
10
11
10
00
00
11
00
00
11
10
10
01
01
01
00
00
10
10
10
10
10
00
00
00
00
00
10
10
00
10
00
10
00
10
01
10
10
11
00
10
10
10
01
10
11
01
00
00
00
10
00
00
10
10
00
11
10
01
10
00
10
00
01
00
10
10
10
00
00
01
11
11
00
11
10
10
01
10
11
00
01
11
10
00
00
00
10
01
00
11
11
00
11
11
00
01
01
10
10
00
00
11
00
00
10
01
10
10
00
00
01
10
10
10
00
11
00
01
01
00
11
10
00
11
10
00
10
10
00
11
00
10
11
10
00
01
00
00
10
10
11
11
00
00
00
01
00
10
10
00
11
10
01
10
10
10
00
10
01
00
00
00
11
10
10
00
11
10
11
10
01
00
11
00
10
10
00
00
10
10
00
10
10
11
11
10
00
10
00
00
10
10
11
01
11
10
10
00
10
10
01
01
10
10
11
00
00
01
01
10
10
11
00
11
11
11
01
01
00
10
00
01
10
10
11
01
10
01
00
00
10
11
10
10
10
00
00
00
11
11
01
11
10
10
01
10
01
00
10
10
01
01
10
11
01
00
10
10
10
00
01
10
01
00
10
10
11
10
11
00
00
11
11
00
10
11
00
00
00
10
00
00
11
00
11
10
10
00
00
10
00
10
10
10
01
00
01
00
00
11
11
00
00
10
11
11
00
00
11
10
00
00
11
10
10
10
00
00
10
10
00
00
10
10
11
00
01
10
10
00
10
11
00
11
10
11
00
10
11
00
00
10
10
01
00
10
00
10
00
10
00
00
01
00
00
10
00
10
00
10
10
00
10
11
01
11
11
00
10
10
11
00
00
00
10
11
00
11
10
10
00
01
10
00
00
11
00
00
10
00
00
11
00
11
01
00
00
11
10
01
10
10
11
00
01
00
01
11
10
00
01
00
10
10
00
00
00
10
11
00
01
10
11
10
10
11
01
00
10
00
10
00
01
01
00
01
10
00
01
01
11
10
10
01
10
00
00
10
10
00
00
10
00
10
10
11
00
01
11
01
01
00
11
01
00
10
11
00
01
10
10
11
10
01
10
11
00
00
00
00
10
10
10
10
00
10
10
00
00
10
11
00
00
10
10
00
01
01
10
10
01
10
10
11
00
10
10
00
00
10
01
01
11
10
10
10
11
10
11
00
00
11
10
11
00
00
00
10
10
00
00
10
00
01
10
10
10
10
11
10
01
10
11
11
01
00
10
00
01
00
00
10
11
00
01
01
00
01
00
01
10
11
10
00
00
10
10
00
00
11
10
01
00
11
00
10
10
00
01
10
11
01
10
11
00
01
10
11
00
10
11
00
00
10
00
00
10
11
00
01
11
01
00
11
00
10
01
00
00
10
11
00
11
10
10
01
10
11
00
00
10
00
00
10
00
00
10
01
00
01
11
11
11
00
01
10
11
00
01
10
00
01
00
10
10
00
00
00
01
10
00
00
00
00
10
11
00
10
00
01
10
10
00
10
00
00
00
00
11
00
10
01
10
10
01
10
10
11
01
10
11
10
01
00
10
10
11
00
00
00
11
00
11
10
00
00
10
11
00
00
10
10
11
00
10
10
01
00
11
00
00
01
00
11
00
01
11
00
01
01
10
11
01
00
00
10
10
10
00
01
00
10
10
10
00
11
00
01
10
10
11
11
11
00
00
11
10
10
00
10
00
01
00
10
10
01
10
10
00
00
00
11
11
01
00
00
11
00
10
11
10
01
10
10
01
10
11
00
00
00
10
11
10
10
01
00
10
10
00
00
01
11
11
10
10
00
10
10
00
00
11
00
00
01
10
10
10
00
10
11
10
00
00
00
00
01
00
11
10
11
10
01
00
10
10
01
00
11
10
00
11
11
11
01
00
11
00
01
11
10
00
10
00
00
10
11
00
10
10
01
10
10
01
11
00
00
01
10
10
10
00
00
00
10
01
10
00
00
10
01
11
01
00
10
10
10
01
00
01
10
11
10
10
00
00
11
10
10
01
00
10
11
00
10
00
01
10
10
00
00
00
10
11
00
10
00
00
00
10
10
10
11
01
10
10
00
00
00
00
11
00
00
00
11
01
10
11
00
10
10
01
01
00
00
11
00
00
00
10
10
01
10
00
00
10
10
10
00
11
11
00
10
10
00
10
10
11
10
11
10
00
00
11
00
01
10
10
01
10
11
10
01
10
10
00
10
00
00
01
00
01
00
11
00
00
10
11
00
00
00
00
00
01
10
10
01
10
00
10
00
01
00
01
10
00
10
10
10
00
01
01
10
00
00
00
00
00
00
10
00
01
00
00
01
01
10
01
00
10
11
01
10
01
00
00
10
11
10
00
00
11
00
00
01
11
10
10
10
11
00
01
11
11
00
01
10
01
10
00
01
10
10
10
10
00
01
00
10
01
01
10
11
01
10
10
00
00
11
11
00
10
11
01
10
10
00
11
01
10
10
10
00
00
10
10
01
10
00
01
10
10
00
10
00
10
01
01
11
11
00
10
00
10
00
00
10
10
10
10
10
00
00
10
00
11
10
01
01
00
10
10
11
10
11
00
10
01
00
01
00
01
10
00
11
10
00
00
00
11
10
01
01
10
10
10
01
10
00
01
00
10
01
10
10
00
01
01
00
10
11
10
10
00
00
10
11
00
10
01
00
00
00
00
10
10
00
01
10
01
10
00
00
00
10
10
00
10
01
11
10
00
01
10
00
00
10
11
11
11
00
00
10
00
11
10
00
00
01
00
01
00
11
00
01
00
01
01
00
01
10
11
11
01
00
11
11
01
00
10
11
00
00
00
10
10
10
10
00
00
00
10
00
10
10
00
11
10
10
10
00
00
11
00
11
10
00
01
01
10
01
10
10
00
00
10
01
00
01
00
00
11
00
10
01
00
10
00
10
10
10
10
00
00
10
10
00
00
11
10
00
10
00
01
00
01
10
10
00
11
10
11
11
01
10
11
10
00
01
11
10
00
00
11
00
00
10
00
10
10
11
00
11
10
01
10
10
10
01
11
11
10
00
01
00
00
11
00
11
10
00
01
10
10
00
01
10
11
10
00
00
10
11
10
00
01
01
00
10
10
00
11
10
11
10
10
10
00
01
10
00
00
00
10
00
00
10
10
11
10
00
00
01
00
00
00
01
00
11
00
00
10
10
10
01
00
11
01
00
10
10
11
01
00
10
00
01
11
00
00
10
11
10
11
00
00
10
10
10
00
00
10
00
00
10
01
01
10
10
11
10
00
10
00
11
10
01
00
00
10
11
00
00
11
11
10
00
00
00
01
10
10
00
00
10
00
00
11
01
00
10
11
10
11
00
01
00
11
10
11
10
10
11
00
00
10
01
00
01
10
00
01
10
00
11
10
01
01
10
11
11
01
00
11
11
10
00
00
10
10
10
00
00
11
11
10
01
11
00
10
10
10
11
00
00
00
11
11
10
01
00
00
11
00
10
10
00
11
10
10
11
11
01
00
00
10
00
00
00
10
01
00
11
00
11
01
01
00
10
11
00
10
00
00
00
10
01
10
11
11
10
00
10
00
00
11
11
00
00
00
10
01
11
00
00
10
11
00
01
10
10
00
00
10
00
10
10
01
10
01
10
00
00
11
10
10
01
00
10
00
11
00
11
10
11
00
00
10
10
11
01
11
10
01
11
10
01
10
00
10
00
00
10
11
11
01
01
10
00
10
10
11
11
01
01
11
01
10
10
00
10
10
00
00
10
10
00
10
10
00
01
10
00
11
11
00
01
00
00
10
01
11
10
00
11
00
00
00
00
10
10
11
01
10
00
00
10
00
00
11
11
01
00
10
11
01
01
10
11
01
11
10
01
11
10
10
00
10
00
11
10
00
01
00
01
01
11
10
00
00
10
01
01
10
11
11
01
00
10
10
01
11
10
10
00
00
00
00
10
00
00
11
10
00
01
10
11
01
10
00
10
10
01
01
10
10
11
00
11
10
10
10
00
10
00
11
10
11
00
01
00
10
10
10
10
00
00
00
10
00
10
01
10
00
10
01
00
00
01
11
10
11
01
00
00
00
00
10
11
10
00
01
10
11
10
01
01
00
00
00
00
11
01
11
10
01
10
00
10
11
00
00
00
00
00
11
10
00
11
00
10
00
10
10
00
11
10
00
01
00
11
00
00
10
01
00
10
10
01
10
01
10
11
10
00
01
10
00
00
01
10
10
11
10
00
00
11
00
00
01
10
10
01
11
00
00
11
10
10
11
00
00
10
10
01
10
01
10
00
01
10
00
01
11
00
11
10
11
10
00
10
00
10
00
00
10
00
10
10
10
00
11
11
00
11
10
00
11
10
10
00
01
00
10
00
00
10
00
01
11
10
00
10
00
10
00
01
00
00
01
00
10
10
00
10
11
00
10
10
00
01
10
10
00
10
10
10
00
01
00
11
00
00
10
00
00
10
10
01
10
10
10
10
00
11
10
10
00
00
10
10
10
01
00
00
10
10
11
10
00
10
10
11
00
10
00
10
10
01
10
00
00
00
10
00
01
10
00
10
10
10
00
10
01
00
10
00
00
00
10
00
10
01
00
01
00
10
10
01
01
11
11
00
10
11
11
00
00
00
00
10
11
10
10
10
10
11
10
10
11
00
10
01
11
00
11
10
00
11
10
01
10
00
10
11
00
00
11
10
10
10
10
10
10
00
00
01
00
00
10
00
00
10
11
10
10
01
10
00
00
10
01
00
01
00
00
00
11
00
01
10
10
11
00
01
10
00
00
10
10
11
01
11
01
00
00
00
01
10
01
00
10
00
01
10
00
00
10
11
11
10
11
10
10
10
10
00
00
10
10
00
00
00
10
10
00
00
11
01
01
11
00
11
10
00
11
10
10
00
01
00
10
10
11
01
00
01
01
00
01
00
10
11
01
11
10
10
00
01
10
11
11
00
11
10
00
01
10
10
11
01
01
10
10
10
00
01
00
11
10
10
11
01
11
00
10
11
10
10
01
00
11
00
10
10
01
00
11
10
00
10
10
01
01
10
10
00
00
00
00
00
11
00
01
01
00
10
10
00
01
10
11
00
11
11
01
00
01
10
11
01
10
01
10
00
00
10
11
11
01
10
01
00
00
10
01
00
01
10
11
01
00
10
11
10
00
00
10
10
00
01
00
10
00
01
10
11
00
01
10
00
01
10
01
00
01
11
01
00
10
11
00
00
00
10
10
01
00
00
11
00
10
10
10
00
10
10
11
10
10
10
00
01
00
00
10
00
10
01
01
10
00
00
10
00
00
10
11
00
11
11
11
11
11
00
11
00
01
10
10
11
01
00
00
10
00
01
00
10
11
00
10
00
10
10
10
01
01
01
10
01
00
01
11
10
10
10
00
00
10
01
10
00
10
10
00
10
00
00
10
10
10
11
00
00
10
00
11
00
00
11
01
10
10
00
00
00
10
10
00
00
10
11
00
00
01
11
00
10
01
11
01
00
10
11
11
00
00
10
10
00
01
01
00
01
11
11
00
00
10
00
01
10
10
10
00
00
01
00
01
00
00
10
00
10
11
11
01
01
11
10
01
00
01
10
01
00
10
10
00
01
10
00
00
11
10
10
00
10
10
01
00
00
00
01
10
10
11
01
10
10
00
10
00
10
01
01
10
00
00
10
01
11
10
10
11
10
10
10
10
00
00
11
11
10
00
10
11
00
00
01
10
10
00
00
01
11
10
10
01
00
10
10
00
00
01
10
00
11
10
00
10
00
10
01
10
10
10
10
00
00
00
10
10
00
11
10
01
10
00
00
11
00
00
00
11
10
11
00
00
01
10
11
00
10
10
10
11
00
00
10
00
10
00
00
10
00
00
10
10
11
11
10
10
11
10
00
01
01
11
10
10
01
11
10
00
01
10
10
00
10
10
01
10
10
00
00
10
00
11
00
10
10
00
10
10
11
00
00
01
01
00
00
00
10
10
00
00
10
10
01
01
10
10
10
01
00
01
00
11
11
10
00
00
10
11
10
10
10
01
10
11
01
00
01
11
00
10
10
11
10
00
00
00
10
11
11
00
10
11
10
00
00
11
00
00
10
01
11
00
00
11
01
00
01
00
10
00
00
01
00
00
00
10
10
10
01
10
10
01
00
11
01
10
11
10
00
01
11
00
10
00
01
00
01
10
10
11
10
00
00
10
10
10
01
01
10
10
01
10
10
00
00
01
00
10
10
10
00
10
00
10
11
10
01
10
11
10
11
00
10
11
01
00
10
11
01
00
10
11
00
01
01
11
00
00
10
10
00
01
11
10
00
11
10
11
11
00
01
00
10
01
00
10
00
00
10
10
11
00
10
10
10
10
10
01
10
00
01
00
10
00
01
10
00
00
10
00
00
00
00
01
11
10
11
01
10
10
10
01
01
11
11
10
10
01
00
00
10
00
11
00
01
10
11
01
11
00
00
00
11
00
00
11
10
00
01
00
11
00
01
10
00
01
00
10
10
11
00
00
10
10
01
00
10
10
10
00
00
00
01
11
10
00
10
10
00
10
10
01
01
11
01
00
01
00
10
00
01
00
10
10
00
01
00
10
11
10
10
11
10
11
01
00
00
00
11
00
10
11
00
10
11
10
10
01
10
00
10
10
10
00
10
10
10
00
00
01
10
10
01
10
00
01
11
01
10
11
00
00
11
11
11
01
01
11
10
01
00
10
11
00
01
10
11
01
00
11
11
10
10
00
00
11
00
00
00
10
10
00
00
11
10
00
01
01
10
01
01
11
11
00
11
00
11
10
11
01
10
00
01
10
11
11
00
00
10
00
11
00
00
01
10
00
00
10
10
11
11
00
01
00
00
11
10
10
00
00
10
10
11
01
11
10
01
01
00
00
10
00
01
10
11
01
00
10
01
00
10
00
01
00
11
10
00
00
01
10
01
00
10
10
00
10
01
01
10
11
00
01
10
11
01
11
11
00
01
11
01
00
00
10
00
00
10
00
10
10
10
11
00
00
01
00
00
11
10
00
11
01
01
10
00
10
00
01
00
11
11
00
00
10
11
10
01
00
00
10
01
10
10
10
10
00
10
01
00
00
00
11
00
10
00
01
01
11
00
01
10
10
01
10
10
01
10
00
00
10
00
00
11
10
11
00
00
01
10
10
00
10
10
11
00
00
00
11
00
01
00
10
00
01
00
10
00
00
00
01
11
11
10
11
11
11
00
01
10
10
10
00
00
10
11
00
00
00
00
01
10
11
10
01
00
10
00
01
00
01
10
10
10
00
10
10
10
00
01
10
00
10
11
11
00
10
10
00
10
00
00
00
10
11
01
10
01
10
10
10
00
01
10
11
00
00
00
10
10
00
11
10
00
00
11
00
11
10
10
00
00
01
10
11
00
11
00
01
00
10
10
01
00
00
01
10
00
00
11
01
01
01
10
00
00
01
00
10
11
00
01
10
11
10
01
00
11
00
10
01
00
00
00
10
11
00
10
00
11
00
00
11
00
11
10
10
00
00
11
00
00
00
00
10
00
10
00
00
11
01
10
00
00
01
10
10
10
10
10
00
01
01
00
10
01
10
10
00
00
11
11
11
00
00
01
00
10
10
00
01
10
10
00
01
01
10
11
11
00
00
10
10
10
10
00
00
01
11
10
00
10
00
00
00
10
00
00
00
00
01
00
11
00
11
11
10
00
00
00
11
11
01
00
01
11
00
11
11
00
00
10
11
01
10
10
00
01
10
10
01
00
00
10
10
10
10
01
00
00
00
01
11
00
10
01
01
00
00
00
11
11
00
10
10
11
11
01
10
01
10
11
10
01
11
10
11
10
10
00
01
11
10
11
01
01
10
10
01
01
10
10
01
00
11
00
11
10
00
00
10
10
01
01
10
01
00
00
11
10
00
01
01
00
10
10
00
01
00
10
11
00
10
11
00
01
01
10
10
00
00
00
00
11
00
00
10
01
10
01
00
01
00
10
00
11
01
01
00
10
11
10
10
00
00
11
10
01
11
00
11
10
01
00
11
10
00
11
01
00
10
11
01
00
10
10
01
00
10
11
10
01
10
10
10
11
10
00
10
00
00
10
01
01
01
10
10
01
11
00
10
10
00
00
11
01
00
11
11
00
10
01
10
00
00
11
11
01
11
00
00
00
01
00
10
10
00
00
10
10
00
00
00
00
00
10
11
10
00
11
10
01
10
01
01
01
10
11
00
11
10
01
10
00
01
10
10
00
00
10
00
00
00
00
10
01
00
10
10
10
10
10
00
10
10
00
10
00
01
00
10
00
10
01
00
11
01
11
11
01
10
11
00
00
10
11
00
00
00
10
10
01
11
10
11
01
10
11
01
11
10
10
01
00
00
11
11
01
10
11
00
10
10
00
00
10
11
00
10
11
11
11
10
01
11
10
01
00
10
10
00
10
00
01
11
00
11
10
10
00
11
10
01
10
10
10
01
10
01
10
01
01
01
01
10
10
00
10
10
01
00
00
11
10
00
00
11
11
00
01
10
10
10
10
00
00
10
00
00
00
00
11
00
00
10
10
00
10
00
10
10
10
00
11
11
10
00
00
10
10
10
00
00
10
11
11
10
01
10
01
11
00
00
00
01
10
00
00
10
10
00
11
00
10
11
01
10
00
01
10
11
11
10
11
01
01
00
01
01
10
01
00
10
10
10
00
10
00
01
01
00
00
01
10
00
00
00
11
10
00
10
10
01
00
10
10
01
00
00
10
10
10
10
01
00
10
10
00
00
10
00
00
10
10
00
11
00
10
00
00
01
00
00
10
00
00
11
11
00
10
11
10
10
10
00
00
01
01
10
01
00
11
00
11
11
10
00
10
10
01
00
10
00
01
10
11
11
01
01
10
10
10
10
01
10
10
10
10
10
01
10
00
11
10
10
01
01
10
01
00
10
00
01
01
01
11
11
10
10
10
00
10
10
00
00
00
10
01
00
00
11
00
10
11
10
00
01
00
11
01
11
01
10
10
10
00
10
10
01
01
11
01
00
01
11
00
00
00
11
11
00
00
11
11
00
00
10
10
10
10
10
00
00
00
00
01
11
01
00
01
00
11
01
11
11
11
01
00
01
10
10
00
01
10
10
10
01
01
11
11
01
10
10
00
10
10
01
00
00
11
11
11
10
01
11
00
00
00
00
11
11
10
01
10
10
00
10
10
01
00
10
01
00
10
10
10
01
00
10
10
10
10
01
10
10
11
01
00
10
10
10
10
00
00
10
10
01
01
01
10
10
00
10
11
00
10
11
00
00
11
01
00
10
10
00
10
00
01
10
00
00
10
10
10
01
10
10
11
11
00
10
11
10
00
10
00
00
10
01
00
11
10
11
00
10
01
00
11
11
01
11
10
10
10
00
00
01
01
11
11
01
10
01
11
01
00
10
11
11
00
00
01
10
10
10
10
00
01
10
10
10
00
00
00
00
11
10
10
10
00
11
10
10
00
00
11
01
01
11
10
00
10
01
01
00
10
11
11
01
01
11
00
00
10
11
10
01
00
10
01
00
00
00
11
10
00
11
10
10
00
11
01
01
10
00
00
00
11
00
11
10
00
10
01
01
01
01
10
00
01
00
00
00
11
10
00
01
00
11
10
10
10
10
00
00
10
11
01
01
00
11
10
11
00
00
10
10
00
01
01
10
00
01
10
11
10
00
11
01
10
10
10
01
10
10
01
10
01
10
00
01
10
10
11
10
00
10
10
01
00
01
10
10
01
11
10
00
00
10
11
01
00
00
01
00
10
11
10
10
01
00
10
00
00
00
00
10
00
01
11
00
00
10
00
00
10
10
10
00
10
10
00
11
10
10
00
10
10
00
00
01
10
11
10
11
11
01
00
11
10
10
01
00
10
00
01
00
10
10
10
00
01
10
10
00
01
10
01
00
11
10
01
11
10
01
00
00
10
10
00
10
01
00
00
00
10
11
01
00
00
10
00
10
00
01
10
10
11
00
11
00
00
00
00
00
00
10
11
00
10
11
01
00
10
00
00
00
11
10
10
00
00
00
10
10
00
01
10
10
01
01
00
00
10
11
10
10
00
10
10
01
00
00
10
10
10
10
11
01
10
11
10
10
01
01
11
10
00
01
00
11
10
10
10
00
00
10
01
00
11
01
10
01
01
11
01
10
01
01
11
10
10
11
01
00
10
00
01
11
01
10
00
01
00
00
10
11
00
11
11
00
00
10
00
10
10
00
01
10
10
00
00
00
01
10
11
01
00
00
11
10
10
00
00
11
00
00
10
00
10
01
00
00
00
00
01
10
00
10
01
11
10
11
00
00
10
00
00
10
00
00
10
10
00
00
00
10
01
10
10
00
01
11
10
10
11
00
10
00
00
00
11
00
00
01
10
00
00
10
10
10
01
01
00
11
01
11
10
01
00
01
10
10
10
00
00
00
10
10
00
11
10
10
10
01
11
01
01
01
11
01
00
01
01
11
01
01
11
01
10
11
01
10
00
11
10
10
00
00
10
01
10
00
00
10
01
10
11
00
11
10
01
10
00
01
10
01
11
00
00
10
11
00
00
11
10
10
11
01
00
10
11
00
00
10
01
00
00
11
10
00
11
10
00
10
11
10
11
00
10
00
00
10
10
00
10
01
00
00
00
01
11
11
00
00
00
10
01
10
00
01
00
11
10
10
11
10
01
01
11
11
00
01
01
01
10
11
10
01
00
00
10
11
10
01
00
10
10
11
00
10
11
00
00
10
10
01
01
11
10
10
00
00
10
11
10
00
01
01
00
11
01
00
01
10
11
10
00
00
10
00
00
00
10
10
01
00
10
11
11
10
00
11
11
10
01
00
00
01
10
10
00
00
10
01
10
11
00
10
01
10
10
10
01
00
00
00
00
10
10
10
00
00
01
00
10
10
00
10
11
00
10
10
10
00
10
10
01
10
10
11
11
10
01
10
11
00
00
00
00
10
10
00
01
00
10
00
11
00
01
00
01
10
11
10
10
11
00
01
11
01
11
00
10
00
01
10
10
00
00
00
10
10
11
11
10
00
00
00
01
01
01
10
11
10
00
10
11
10
11
10
10
11
00
01
00
00
10
11
10
10
10
11
00
00
10
00
10
00
00
01
00
11
00
11
01
11
01
10
00
01
11
10
00
00
11
10
10
10
00
01
10
00
10
11
00
00
10
00
10
00
10
10
10
00
01
00
00
00
10
11
01
00
10
10
11
10
10
11
00
00
11
00
11
10
00
00
10
10
10
00
01
10
01
01
01
11
00
01
10
00
10
10
00
01
10
11
11
00
01
10
11
01
00
10
11
00
00
00
10
10
10
10
01
00
10
10
01
10
00
11
11
10
01
00
01
10
00
11
11
01
11
10
01
00
10
11
00
00
00
00
11
01
00
10
10
10
10
10
00
00
10
01
10
00
10
01
10
00
10
01
01
10
01
10
01
11
10
01
00
00
10
10
01
00
01
10
01
00
10
00
10
00
11
11
00
10
10
10
11
10
00
01
11
00
01
10
00
10
10
11
00
10
11
10
00
11
10
10
00
00
00
00
10
10
10
10
00
00
00
10
01
11
10
01
00
10
00
10
00
10
11
00
01
10
01
01
10
00
00
10
10
00
01
01
01
10
00
10
10
01
00
00
10
11
10
10
01
10
10
11
01
10
10
10
01
01
00
00
11
11
01
00
10
10
01
10
01
10
00
11
00
11
10
11
00
10
11
00
00
10
00
00
00
00
10
10
00
00
10
10
00
11
11
01
01
10
01
01
00
10
00
00
00
10
11
10
10
10
10
00
01
00
01
00
11
10
01
10
10
10
00
01
10
10
00
01
11
01
01
10
00
01
00
10
11
00
10
01
00
11
10
00
00
10
00
01
00
10
00
00
11
11
10
10
01
00
01
11
01
00
10
10
10
00
00
10
00
11
10
01
10
10
11
10
10
00
00
11
11
11
10
11
00
00
10
11
00
00
10
11
00
00
10
01
01
11
01
00
00
00
10
01
00
10
10
11
01
01
10
01
10
10
10
10
00
00
01
10
00
00
01
11
00
10
11
01
00
10
11
00
10
10
00
10
00
01
01
01
10
11
01
11
11
10
00
00
00
11
01
10
10
11
10
10
10
01
00
00
00
10
11
10
10
00
00
10
11
10
11
00
00
01
10
11
00
10
10
01
10
10
00
11
00
11
10
10
01
11
10
00
00
10
00
00
10
00
10
11
01
00
10
11
00
00
00
00
00
10
10
10
11
00
01
11
10
01
11
01
10
10
01
11
10
11
00
00
10
10
11
01
10
01
01
00
10
01
11
10
00
00
10
10
10
00
10
00
01
10
10
00
00
01
00
01
10
11
00
10
11
00
00
10
10
00
10
01
10
01
10
10
11
10
10
10
00
01
11
10
11
10
11
10
01
10
01
00
10
00
00
00
01
10
10
10
11
01
11
00
10
00
10
01
00
10
10
01
11
00
10
01
10
10
01
10
10
00
00
11
10
00
01
10
11
11
10
01
01
10
01
00
11
10
11
10
10
01
01
10
01
00
11
00
01
10
01
00
10
00
00
10
10
01
00
10
01
00
00
10
00
10
10
11
10
00
10
10
10
10
10
11
10
10
10
11
00
00
11
00
00
01
00
11
10
00
01
01
00
11
00
11
10
10
10
00
10
10
01
00
10
11
00
10
00
10
00
10
11
10
10
10
00
00
01
00
10
01
11
00
01
00
01
01
10
10
10
11
00
00
01
10
10
00
01
01
10
11
00
00
00
10
11
00
00
10
11
00
00
01
00
11
10
11
00
00
01
01
01
01
00
00
10
00
10
10
00
00
00
00
00
10
00
11
10
11
10
00
01
10
11
10
01
00
11
10
01
00
10
10
01
10
01
10
11
00
00
11
01
11
11
11
00
11
10
00
00
10
11
01
01
00
10
11
01
01
00
00
00
00
11
10
10
00
00
01
01
00
00
10
10
10
01
00
10
11
01
00
10
01
10
00
11
10
00
00
11
10
11
10
00
10
00
00
10
01
10
01
00
00
01
00
10
10
10
00
10
10
00
10
10
01
10
01
10
11
10
00
10
11
00
00
00
10
11
10
00
10
10
10
10
00
11
10
01
00
01
00
01
01
10
10
00
00
10
10
01
00
11
00
11
00
10
11
01
00
11
00
00
01
11
10
01
11
10
10
10
01
10
00
00
10
10
10
10
00
11
11
01
00
11
10
10
00
10
01
00
11
10
10
10
11
10
10
00
01
00
11
10
10
11
00
10
10
00
01
00
01
11
00
00
00
00
10
00
00
11
10
10
00
11
01
11
11
01
10
10
10
11
10
00
00
00
10
11
10
00
00
10
10
00
10
11
10
00
10
10
10
01
10
11
01
00
00
00
11
10
01
01
00
00
10
01
00
01
10
10
00
11
10
00
01
00
10
00
01
10
10
00
10
01
10
00
01
10
00
01
00
00
00
01
10
11
10
11
10
00
01
10
00
11
11
00
01
10
10
01
00
10
10
00
00
10
10
01
11
10
11
11
10
00
00
01
01
10
11
11
00
00
11
01
00
10
10
10
10
10
01
00
11
10
00
00
11
10
11
11
00
00
11
10
00
11
10
10
01
01
11
01
10
00
00
00
00
10
00
00
11
00
10
10
00
00
01
10
00
01
00
11
11
01
01
11
10
00
10
10
10
00
10
10
00
10
00
10
11
00
11
01
00
11
00
01
11
00
00
10
00
10
10
00
01
00
00
00
11
00
00
10
10
10
01
01
00
00
10
10
00
00
00
00
11
00
01
00
01
10
10
00
00
00
11
00
00
00
00
10
10
01
01
11
00
00
10
10
10
10
00
01
10
00
00
10
00
11
11
10
10
00
11
00
01
01
01
00
00
10
00
10
11
01
11
10
11
10
00
00
11
01
00
10
11
11
01
00
01
10
11
11
00
01
10
01
11
11
11
10
00
00
00
11
11
01
00
10
00
10
10
10
11
00
11
10
10
11
10
00
00
10
00
00
11
00
00
10
11
10
10
10
11
00
00
10
11
11
00
00
01
00
00
00
11
11
10
00
00
11
10
01
00
10
11
10
10
00
10
10
10
00
01
00
00
11
11
10
01
11
11
10
00
00
11
10
00
10
11
10
01
00
10
00
01
10
10
00
10
10
00
01
00
00
11
00
11
10
10
10
00
00
10
00
00
01
10
10
10
11
10
00
00
10
10
10
11
10
01
11
10
01
01
01
11
00
00
10
00
00
10
10
01
00
10
01
01
01
00
10
10
10
00
01
01
00
10
00
00
01
00
10
10
01
00
10
00
00
11
11
01
11
00
10
11
10
10
01
01
10
00
00
10
00
10
00
01
00
10
00
10
11
00
00
10
10
01
00
00
11
10
10
00
11
10
01
00
11
01
11
11
11
11
00
01
10
10
00
00
00
00
11
11
10
11
11
10
00
00
10
10
00
01
11
00
01
10
01
01
11
10
10
10
11
00
00
11
10
00
01
00
01
11
11
10
01
01
10
00
00
01
01
00
10
10
10
10
10
00
00
00
00
00
00
11
01
10
11
10
10
00
11
01
10
11
01
00
10
01
10
10
01
00
10
00
01
10
00
00
01
10
10
10
01
00
11
00
11
10
01
10
10
01
01
11
11
00
01
00
00
00
10
10
10
01
00
10
00
00
10
11
00
00
00
00
00
01
11
11
10
01
00
00
00
10
00
11
11
01
00
01
00
10
10
00
10
00
00
11
00
10
01
01
10
00
01
10
10
00
01
00
10
00
10
11
00
00
00
10
00
00
10
11
00
10
00
00
01
10
01
01
11
11
00
10
10
10
00
00
10
10
00
10
00
00
10
00
10
11
10
00
10
10
10
10
10
01
10
10
11
10
11
00
00
01
10
10
00
10
00
00
11
00
00
11
01
00
00
01
10
11
11
11
10
00
10
00
11
11
01
01
10
10
11
01
00
00
01
10
11
11
00
00
10
00
01
11
10
00
10
10
11
10
01
01
10
10
01
01
10
11
00
00
10
10
01
11
00
10
10
00
00
01
10
00
00
01
10
01
10
11
01
11
10
00
00
10
11
00
00
00
01
00
00
00
11
11
01
01
10
00
00
00
10
00
00
10
00
10
11
01
10
10
00
10
01
00
11
10
00
00
00
00
10
00
00
10
01
01
00
00
00
00
10
01
11
10
00
00
00
10
00
10
10
00
01
10
10
00
11
00
00
10
00
01
11
01
10
10
10
00
10
10
10
00
10
00
11
10
01
10
11
01
00
00
10
00
01
01
00
01
01
10
10
01
11
00
11
10
01
01
11
11
00
00
10
11
00
01
10
10
00
10
10
00
11
00
00
10
01
11
11
00
00
00
11
00
11
11
00
01
10
00
10
00
01
10
01
00
11
01
11
01
00
01
10
10
01
10
10
00
00
10
00
01
00
10
10
00
01
10
10
00
10
10
10
10
10
00
01
00
01
00
10
00
10
01
00
11
00
01
10
10
10
10
00
10
10
00
10
10
10
00
00
10
10
10
10
00
00
10
00
10
00
11
10
00
11
00
11
01
01
11
10
10
10
10
00
00
00
10
10
10
10
00
10
10
00
00
00
01
00
00
01
10
00
11
01
10
11
00
00
10
01
10
10
00
00
01
00
00
10
00
00
10
01
00
10
11
11
01
00
01
10
10
01
10
00
11
11
00
01
10
00
10
10
00
00
10
11
01
11
11
10
10
00
10
01
10
11
00
00
00
10
10
11
10
00
01
11
01
11
00
01
11
00
00
10
10
01
01
00
10
00
10
00
00
10
01
00
11
00
11
10
01
00
01
10
10
10
00
00
10
00
00
00
10
00
00
10
11
10
01
10
01
10
10
01
10
11
01
00
11
11
10
01
01
11
00
00
11
00
10
00
11
00
01
10
10
10
10
00
01
01
10
00
10
10
10
01
00
00
00
10
10
10
11
10
01
11
01
00
10
10
00
01
11
00
01
11
00
00
00
10
11
11
11
00
10
00
11
01
10
10
01
00
11
00
11
10
11
10
01
10
10
01
01
11
00
01
11
00
01
11
00
10
11
00
01
10
00
10
10
00
01
10
00
01
00
10
01
10
11
10
10
00
10
01
01
00
10
01
00
10
10
10
11
10
01
00
00
10
10
10
01
10
10
10
10
11
00
10
01
00
00
00
00
10
10
00
10
10
01
10
01
10
10
10
00
00
10
01
01
00
10
00
10
01
10
10
10
00
00
10
01
10
10
10
11
00
10
11
10
10
00
01
10
10
10
10
00
00
10
00
01
10
10
01
00
01
11
00
11
11
01
11
11
01
01
11
11
00
00
00
10
10
11
00
01
00
00
00
10
10
10
10
01
11
10
00
10
00
00
00
10
11
00
01
10
00
10
11
00
01
11
11
01
00
00
10
00
00
11
10
00
10
10
11
10
01
00
10
11
11
00
10
10
11
10
10
10
00
01
01
01
10
10
01
11
11
00
01
10
10
10
10
00
00
11
00
10
10
10
10
11
11
01
11
01
10
00
00
10
10
00
00
10
00
10
10
00
00
00
11
01
01
00
10
01
10
00
00
11
10
10
01
00
00
11
00
10
11
01
11
10
01
11
11
10
00
00
11
11
11
01
01
00
00
11
10
11
01
00
10
10
00
10
01
01
00
01
00
10
00
11
01
01
11
10
01
00
11
00
01
10
00
00
10
11
00
11
10
00
11
10
11
00
11
00
11
10
00
10
10
00
00
10
10
00
00
11
10
10
11
10
01
00
10
11
10
00
10
10
01
00
00
11
01
00
10
00
01
11
10
01
10
00
00
10
10
10
01
10
11
11
10
00
00
11
10
10
00
00
10
10
00
00
00
00
10
11
10
00
00
11
00
10
11
00
01
11
00
00
01
11
10
11
00
10
10
00
10
10
00
00
00
10
10
01
10
10
10
10
00
00
10
10
10
00
11
10
11
01
00
01
10
11
00
00
10
11
11
00
00
10
00
00
00
11
00
00
00
01
10
00
10
00
00
00
00
10
01
10
11
00
10
11
10
01
01
00
10
01
00
00
10
11
11
01
00
10
01
00
10
11
01
10
00
10
10
10
10
11
10
10
00
00
01
00
00
10
00
01
00
00
01
11
00
00
10
00
11
00
00
00
00
10
10
01
00
00
10
00
00
11
11
00
00
01
10
11
10
01
00
11
01
10
10
00
10
10
11
00
11
00
11
10
01
10
11
10
11
10
01
01
00
11
10
10
10
11
00
10
01
00
11
10
00
10
00
00
00
10
10
00
01
01
10
11
01
01
10
00
01
11
00
00
11
11
10
00
00
11
10
00
00
01
10
10
10
00
10
10
10
00
00
01
00
10
01
11
00
11
01
10
10
10
00
11
00
00
10
00
01
00
00
10
10
00
01
00
10
01
00
10
11
10
11
01
11
10
10
11
00
01
10
00
00
00
11
11
10
01
10
11
11
01
10
10
00
00
00
10
00
00
11
00
01
00
11
01
10
11
00
00
10
10
00
11
00
00
10
10
11
10
00
11
10
10
00
01
00
11
00
01
10
10
11
10
00
00
01
00
10
01
00
10
10
11
01
00
00
10
10
10
10
01
10
01
00
00
00
10
11
10
11
00
10
10
00
10
01
10
10
10
00
01
10
10
10
10
00
00
10
01
00
11
01
01
00
10
00
00
11
10
00
00
10
11
00
11
10
01
01
11
10
00
01
10
00
00
11
10
10
01
11
11
01
01
01
00
00
10
00
00
10
11
00
01
10
11
00
00
10
10
10
11
11
01
11
10
00
10
10
00
00
10
10
01
10
10
00
01
11
01
10
10
01
01
10
10
11
00
10
11
00
01
00
10
10
00
00
11
00
00
11
10
00
11
10
10
00
10
01
10
11
00
11
11
10
00
00
11
11
00
00
00
00
10
00
00
10
10
00
01
10
00
00
00
10
11
11
10
10
00
11
10
10
00
00
00
11
11
10
00
01
00
11
11
00
01
00
01
11
01
01
00
00
00
00
11
01
00
10
11
01
00
00
10
11
00
01
11
10
10
11
00
00
11
10
10
11
10
00
00
10
10
10
00
00
11
11
01
00
10
10
01
10
10
10
01
10
01
01
10
10
00
10
01
00
11
11
10
00
00
10
00
01
10
10
11
10
01
10
11
00
10
01
01
11
10
10
01
11
01
00
10
10
10
00
00
10
10
00
11
01
00
00
01
10
00
00
10
11
00
01
00
00
01
11
10
00
10
10
00
10
00
00
10
10
10
01
00
00
00
01
00
00
01
10
01
10
01
01
00
10
11
10
01
10
10
01
10
11
10
01
00
00
11
00
00
00
01
10
01
10
11
10
00
00
01
11
11
00
00
00
01
00
10
10
00
10
11
01
00
11
11
00
01
10
11
10
00
00
00
00
01
10
10
00
00
10
00
10
00
00
00
11
00
10
10
00
00
01
10
10
10
00
00
00
10
10
10
11
00
00
00
00
01
00
01
11
01
01
10
10
00
10
11
11
00
00
11
10
01
01
11
00
00
11
00
11
11
00
01
00
01
11
01
01
01
10
10
00
00
01
00
10
10
10
10
11
00
10
00
01
10
00
01
01
00
10
10
00
10
00
10
10
00
00
10
10
11
00
10
11
11
00
10
01
01
10
10
10
10
00
00
00
10
01
00
11
00
00
00
00
10
11
01
01
01
10
10
00
00
10
10
10
00
00
10
10
00
00
00
00
10
11
01
00
11
00
10
00
00
10
00
00
01
11
01
00
00
11
10
00
00
00
11
01
00
10
00
10
10
11
10
01
01
10
01
10
10
01
01
10
10
01
00
00
10
11
00
10
10
10
11
10
00
00
00
10
10
10
10
10
01
10
10
10
10
10
00
00
00
11
10
10
10
11
10
01
00
00
00
01
10
10
01
00
00
10
01
10
01
10
11
01
00
00
00
11
10
01
00
10
10
00
11
01
00
10
01
10
10
11
00
11
11
00
00
00
11
01
10
10
00
00
00
11
01
11
11
10
00
00
00
11
00
01
11
11
10
10
00
00
10
10
00
00
11
10
10
00
00
10
10
11
01
01
11
10
00
01
00
11
00
00
11
00
00
00
00
10
00
11
10
01
10
10
10
11
00
01
10
10
01
00
10
11
00
00
10
10
01
00
10
01
00
10
00
10
10
00
10
01
11
01
01
10
01
10
10
00
00
11
10
11
10
10
10
11
10
00
00
10
10
10
11
01
01
10
10
10
11
00
01
01
10
10
00
00
11
11
01
00
11
11
00
00
11
10
00
10
10
10
01
01
11
11
01
00
10
00
10
10
00
00
10
10
11
01
00
00
10
00
11
00
00
10
01
10
11
10
10
00
00
10
00
00
11
11
00
01
11
00
11
10
00
10
01
01
11
11
01
00
10
10
00
10
00
11
10
01
00
10
01
10
10
00
00
10
11
10
10
11
01
00
01
00
01
00
10
00
10
11
01
00
00
00
00
11
11
10
01
10
10
10
00
11
10
10
00
00
00
10
10
00
00
11
10
11
00
11
00
01
10
01
10
10
01
00
00
10
11
00
10
00
10
10
00
01
00
11
01
00
00
01
00
10
01
00
11
10
00
10
10
00
00
01
00
10
00
00
01
11
00
11
10
00
00
00
10
00
11
10
10
11
10
01
11
01
00
01
11
01
10
01
00
00
01
11
10
00
00
01
00
11
10
00
10
11
10
10
00
01
10
01
01
10
00
10
00
01
01
00
11
00
00
11
11
11
11
00
00
10
00
00
11
11
01
10
10
10
00
00
00
10
10
01
00
00
00
00
01
10
10
00
10
01
10
10
00
10
11
11
10
10
01
00
00
01
10
10
00
00
11
00
11
10
10
01
11
00
10
10
00
10
10
11
10
10
01
01
10
00
00
00
10
11
10
10
00
10
00
00
11
00
10
11
01
11
10
11
11
00
10
00
00
11
10
01
10
10
00
00
10
10
10
01
10
10
01
00
00
10
00
00
10
10
10
00
00
10
10
10
00
00
11
00
10
00
11
01
10
11
00
10
00
01
00
10
00
00
10
10
10
00
00
01
00
00
10
10
00
10
10
01
00
11
11
01
11
01
00
10
10
11
10
11
00
00
11
00
10
11
00
00
11
10
00
00
01
01
10
00
10
01
01
10
10
01
10
10
00
10
01
10
11
00
10
10
00
10
11
11
01
00
01
10
00
10
00
00
10
00
01
10
01
11
00
10
10
10
00
00
10
10
00
10
00
10
10
11
10
11
00
10
10
00
11
00
01
11
01
00
11
00
01
00
10
11
00
01
01
01
11
10
10
00
11
11
10
11
00
01
01
11
00
11
00
10
00
01
11
10
10
00
10
01
10
00
01
10
00
00
10
00
10
10
00
11
11
11
11
10
11
00
01
01
10
10
00
01
10
00
00
10
11
01
10
10
11
00
00
01
10
11
00
10
10
00
00
00
11
01
10
10
10
10
01
11
01
01
10
10
00
01
10
10
01
10
00
00
00
01
00
11
11
10
10
01
00
10
00
00
00
00
11
10
11
11
00
00
00
10
00
11
10
01
10
01
00
00
10
10
00
00
11
11
00
10
00
01
01
00
11
00
00
10
00
00
10
10
00
10
10
00
10
01
11
11
00
00
10
10
10
00
10
11
00
00
10
00
10
10
10
10
01
00
00
01
10
00
11
00
10
10
00
10
00
10
00
00
11
00
00
01
10
00
00
01
10
00
01
00
00
10
00
11
10
10
01
10
10
00
11
10
01
01
10
10
10
11
10
10
00
10
10
01
00
10
00
00
00
00
00
01
10
01
10
10
00
01
10
00
10
11
01
10
11
10
00
11
00
01
01
10
10
10
11
00
01
11
11
01
01
10
11
01
01
11
01
10
10
10
00
00
10
00
01
11
00
11
10
00
00
10
10
01
00
10
10
01
10
00
10
00
11
00
10
01
10
00
10
10
00
10
00
00
10
00
11
11
10
11
00
10
00
10
10
00
00
11
11
01
10
10
10
01
01
01
01
11
01
01
10
10
00
00
10
11
10
00
11
11
01
00
10
00
10
00
00
11
11
00
01
10
00
00
10
00
00
00
10
11
01
00
00
01
00
11
11
10
00
00
00
11
00
00
10
11
11
11
10
00
00
11
00
11
11
10
01
00
00
10
10
00
01
10
11
00
10
00
10
10
00
10
11
10
10
10
10
01
01
00
11
10
00
10
10
00
01
10
10
11
10
01
10
10
00
00
00
11
01
00
11
10
00
00
11
10
00
10
10
10
10
01
00
00
10
10
10
00
00
10
11
00
01
01
00
01
11
10
11
00
01
00
00
10
01
00
10
11
01
00
10
00
01
10
00
10
11
11
10
00
11
01
01
00
10
10
11
11
10
01
01
00
10
10
01
10
00
00
00
00
11
11
10
00
01
10
10
10
00
11
10
00
10
00
10
00
10
00
00
00
11
01
00
10
10
11
10
00
01
10
10
00
00
00
11
01
10
00
00
10
10
00
10
00
00
11
01
01
00
10
11
11
01
10
10
10
10
10
00
00
10
10
01
10
10
10
01
00
11
11
10
11
00
11
10
01
00
01
11
11
10
10
10
01
10
11
01
01
11
11
10
00
10
00
11
10
10
01
10
11
00
00
01
01
10
01
10
10
00
00
11
00
10
00
00
10
10
00
00
10
10
10
11
01
01
11
10
10
10
01
00
10
10
11
10
01
00
00
00
10
01
01
10
00
00
10
01
10
11
11
01
01
00
10
10
10
00
11
10
01
01
00
10
00
10
00
00
11
00
01
10
00
00
00
01
10
01
01
10
00
00
10
10
10
00
10
10
00
00
10
00
11
01
10
00
11
00
11
01
00
00
10
10
10
10
01
10
10
00
10
00
11
11
00
00
00
11
11
11
00
00
10
11
10
00
10
10
00
01
01
01
11
00
01
10
10
10
11
10
00
10
10
00
00
11
01
11
10
01
11
00
00
10
00
10
10
00
11
00
00
10
11
11
01
11
10
11
10
10
00
10
11
00
01
11
10
11
10
10
10
01
00
10
01
10
10
10
10
01
01
10
10
11
10
11
10
01
10
00
10
00
00
11
00
01
10
01
11
01
00
01
11
10
01
00
01
00
00
11
10
01
10
01
00
00
10
01
10
10
10
10
00
01
00
11
10
01
00
11
00
00
01
10
00
11
11
00
10
00
11
10
11
10
01
01
00
00
00
01
10
11
00
00
10
00
00
01
00
11
10
00
01
00
10
00
00
10
01
01
01
11
11
00
10
00
11
10
00
10
10
01
11
10
00
10
00
11
00
01
00
01
10
00
10
11
10
01
00
10
10
00
01
00
01
11
00
10
10
01
00
00
10
01
10
10
00
10
10
00
10
11
01
01
00
00
00
00
00
10
10
00
00
10
10
00
10
10
00
11
10
01
00
10
10
00
00
10
10
10
00
10
01
00
10
00
10
10
10
10
00
00
01
00
10
11
00
01
10
00
10
01
00
00
10
10
01
00
10
11
01
01
11
10
00
01
10
00
00
00
11
10
11
00
10
01
00
10
11
00
00
00
00
10
00
11
10
00
10
01
10
11
01
01
00
00
10
10
00
11
11
00
11
01
01
10
10
00
00
10
11
10
00
00
01
10
00
00
10
00
10
01
00
11
10
10
10
11
00
00
01
10
10
10
11
01
11
00
00
00
10
10
10
11
00
00
11
10
00
10
00
01
00
10
11
11
00
00
00
00
10
10
00
01
00
00
10
00
00
10
00
00
10
10
01
10
10
00
10
11
01
11
10
01
00
10
00
01
00
10
00
01
10
00
01
11
11
10
00
00
11
10
00
11
10
00
10
10
01
01
01
01
10
10
10
00
00
11
10
00
00
11
00
11
10
10
10
10
11
10
10
10
11
00
11
00
11
00
00
10
11
01
00
10
10
00
00
11
10
01
01
10
01
10
00
10
11
00
10
10
00
10
11
10
10
11
00
11
10
01
10
00
00
00
10
11
00
10
11
10
10
10
01
00
11
11
00
10
11
00
00
10
10
00
01
00
01
00
11
00
00
00
10
10
10
10
10
10
00
00
11
00
00
11
00
00
01
00
11
00
11
10
01
11
10
11
01
00
01
00
10
01
00
00
10
11
01
11
10
11
11
10
11
01
00
11
11
01
01
01
11
01
10
00
00
01
11
11
00
11
00
00
00
01
11
11
01
10
01
00
00
10
00
00
11
11
00
00
10
10
11
10
00
00
01
00
10
00
10
11
00
10
10
10
10
10
01
00
10
10
00
01
01
01
10
10
11
11
10
10
11
01
00
01
01
01
11
10
01
01
01
11
11
00
10
01
00
10
10
10
01
10
11
00
10
00
01
00
10
00
00
10
11
00
01
10
11
11
01
01
01
00
00
10
10
10
01
00
10
10
10
00
11
00
00
00
10
11
01
10
11
00
00
01
10
00
00
01
10
01
01
10
10
00
10
10
01
01
11
11
00
00
00
00
01
00
10
11
10
00
00
11
00
01
00
10
10
00
10
10
01
00
00
10
10
00
00
10
11
00
01
00
10
00
10
11
00
10
10
10
01
10
10
00
11
00
00
10
10
10
01
10
11
10
10
10
11
00
00
00
10
00
10
10
00
10
10
10
11
11
11
00
01
00
00
10
00
00
10
10
00
00
10
11
11
10
10
10
00
00
01
00
10
10
00
10
01
00
11
10
11
10
00
00
10
01
00
00
10
00
00
11
00
00
00
10
10
10
10
00
11
01
00
10
11
10
01
01
10
10
01
00
01
10
10
00
10
00
10
10
00
00
11
00
00
11
00
10
10
00
10
10
10
00
00
10
10
00
00
00
10
00
10
11
11
10
00
11
10
00
00
01
01
01
10
01
00
11
10
10
10
00
00
11
10
01
00
11
00
10
10
10
01
10
10
00
01
10
11
10
00
11
10
00
10
10
00
10
00
01
10
00
00
01
10
10
00
10
10
00
10
01
11
11
01
01
10
00
00
10
00
00
00
10
10
01
00
10
11
01
11
00
00
10
11
01
00
11
11
10
11
00
01
10
11
01
01
11
10
11
00
01
00
10
10
00
10
00
11
01
11
11
11
10
10
10
10
01
00
00
11
00
10
11
00
10
00
00
11
00
10
11
01
00
01
10
10
10
11
00
00
10
00
00
10
00
10
10
01
10
00
01
11
10
00
01
00
10
11
00
10
11
00
10
11
10
00
01
01
10
00
00
00
01
11
00
01
10
11
00
11
10
00
00
11
01
01
10
10
11
00
01
10
00
10
10
10
00
01
10
00
00
00
00
10
10
10
01
10
00
10
11
00
00
00
00
00
10
10
00
10
10
00
11
00
10
10
00
11
10
10
10
00
10
10
01
10
00
00
00
10
10
10
01
01
10
10
01
00
00
11
01
10
10
00
11
00
01
10
10
01
10
00
00
01
10
10
01
01
00
10
01
01
00
01
11
11
00
11
00
00
10
10
01
01
01
10
10
00
00
01
01
10
11
00
10
11
10
00
00
11
11
01
10
11
10
11
01
00
10
00
01
10
10
10
00
10
00
10
10
10
01
10
00
10
10
11
11
10
00
00
10
01
00
00
01
01
10
10
10
01
01
00
10
01
10
11
00
11
11
00
11
11
10
00
01
10
00
00
10
00
00
10
10
00
11
11
00
10
00
00
00
00
00
11
11
10
01
01
10
00
00
10
11
10
01
10
00
00
11
01
00
11
10
00
10
01
00
10
10
01
00
10
00
11
10
01
10
10
10
10
10
00
00
00
00
11
11
10
10
00
00
00
01
10
10
00
00
10
10
11
00
10
10
00
00
00
10
11
00
11
10
01
10
11
00
00
01
10
00
00
00
11
10
01
00
00
00
10
11
10
10
01
01
11
00
10
01
01
10
00
00
11
01
01
11
10
00
01
01
10
10
00
00
01
10
10
00
10
11
10
00
00
10
10
10
00
10
00
10
11
00
01
01
10
00
00
10
10
11
00
00
00
00
10
00
10
11
00
00
11
10
00
11
00
10
00
00
00
11
10
00
10
01
11
00
11
10
10
10
10
00
00
00
00
10
10
11
10
10
10
11
01
11
01
00
10
11
00
10
00
00
10
10
00
10
01
00
10
10
01
00
11
01
10
10
01
00
11
11
01
00
11
01
11
10
01
01
00
00
10
00
01
00
11
11
00
00
10
10
00
01
10
00
11
10
00
01
00
00
10
10
00
10
01
00
10
10
01
00
00
00
10
10
00
00
00
00
10
10
11
10
01
00
00
01
00
00
11
00
11
11
10
00
10
10
10
11
01
01
11
11
00
01
10
10
11
10
00
11
10
01
10
00
10
00
00
11
11
00
10
10
10
10
10
01
01
10
11
00
00
10
10
10
00
00
10
00
11
00
11
11
01
01
11
00
11
10
00
10
11
00
00
01
11
00
00
00
01
11
10
00
00
00
01
01
10
10
11
00
10
11
00
10
10
01
00
01
10
10
01
00
01
10
00
00
10
01
00
10
00
11
10
01
10
11
00
11
11
10
00
00
10
10
00
00
10
10
10
00
00
00
10
10
01
10
10
00
10
10
10
00
01
00
10
11
01
11
10
10
00
10
10
00
00
11
11
00
01
00
10
00
01
10
11
11
00
01
10
00
00
11
10
10
00
00
00
00
00
00
11
10
11
00
01
10
00
10
11
00
00
10
10
10
01
01
10
10
01
10
10
01
01
10
00
00
00
10
10
01
10
10
10
10
01
01
00
10
11
00
10
00
01
10
00
00
11
10
10
10
10
01
00
01
00
01
00
00
00
10
10
00
00
11
10
01
10
10
01
11
10
01
00
11
00
10
00
10
10
00
11
10
10
00
10
00
11
00
00
00
11
11
10
10
01
10
10
00
00
10
10
11
01
00
01
10
00
10
11
01
10
10
00
01
01
01
11
00
10
00
01
01
00
10
10
10
00
10
11
11
11
10
10
10
10
11
00
00
11
00
00
11
10
10
01
10
01
11
00
11
00
00
11
10
10
10
00
01
10
01
00
10
00
11
01
10
11
00
10
10
10
00
00
00
11
01
10
01
11
10
10
00
00
10
00
01
11
01
00
10
10
10
10
11
00
01
00
10
01
11
10
01
10
10
00
01
00
11
11
00
11
10
11
10
10
10
00
00
00
10
10
00
10
10
00
00
10
10
00
10
11
10
01
00
01
00
00
00
00
10
10
01
00
01
10
01
00
00
01
01
10
00
10
10
10
11
11
11
00
00
01
11
01
01
00
11
11
01
11
01
00
10
01
00
10
10
00
01
00
10
10
10
10
10
11
01
00
11
00
11
00
10
01
00
00
10
10
01
00
10
00
00
10
00
10
11
00
10
01
01
00
00
10
00
01
11
10
01
00
10
10
01
10
11
00
00
11
10
00
00
11
00
01
10
10
10
11
10
00
10
10
11
10
01
00
10
10
00
00
11
10
01
00
00
00
10
10
00
10
00
00
11
00
11
10
10
01
00
00
11
00
00
00
00
01
10
10
10
00
11
10
00
01
10
11
00
11
00
01
10
10
10
01
10
00
10
10
10
11
00
01
11
11
10
10
00
10
10
10
00
01
01
10
11
11
10
10
10
10
01
00
10
00
10
11
01
01
11
01
00
10
10
10
00
00
11
00
10
00
00
10
00
00
00
00
10
00
01
10
11
00
10
00
00
10
11
10
00
11
10
01
10
00
00
00
11
11
01
10
11
00
10
00
00
10
00
01
11
01
11
10
10
11
00
10
00
00
10
10
00
00
11
00
10
10
00
00
10
00
11
10
10
01
10
01
00
11
10
00
10
00
10
11
01
00
10
11
11
10
00
01
00
11
00
00
11
10
01
01
11
11
11
10
10
00
00
10
11
01
00
10
10
00
11
00
10
10
00
00
00
10
01
01
10
00
01
00
10
00
00
10
11
01
01
01
11
11
10
11
11
10
00
00
00
01
01
00
11
10
00
00
10
10
01
00
10
11
00
00
10
00
01
01
01
10
00
00
10
00
01
11
11
10
10
00
01
11
01
10
11
00
01
11
10
00
10
11
00
11
10
00
10
11
00
01
10
11
10
11
10
00
00
11
11
11
00
00
10
10
10
10
11
00
01
11
10
10
00
10
00
00
10
00
10
10
00
10
00
11
00
11
10
01
00
01
00
00
10
00
10
10
00
01
11
11
10
10
10
10
10
00
11
10
01
00
10
01
11
01
11
10
10
11
00
01
10
00
10
11
00
01
01
10
10
00
10
01
00
11
10
01
00
11
01
01
00
11
01
01
10
10
00
11
11
00
11
00
11
10
01
10
10
10
01
00
10
00
01
00
10
01
10
10
00
11
10
11
10
10
10
00
01
00
10
01
00
10
11
01
00
01
00
10
11
00
10
10
01
00
10
10
11
00
00
00
10
10
01
11
11
00
00
00
00
00
10
10
01
00
00
11
10
10
10
00
00
10
00
10
10
10
10
01
00
01
10
10
01
10
01
11
11
00
10
10
00
00
10
00
00
11
01
11
11
10
10
10
01
10
11
00
00
00
00
00
10
01
00
10
10
00
01
11
10
11
00
10
00
00
01
00
00
10
00
00
11
10
00
01
10
10
10
00
10
00
00
00
10
10
10
01
00
10
00
10
01
00
01
10
10
00
00
01
00
01
10
01
00
10
01
11
10
01
00
10
11
00
00
10
00
00
10
11
10
00
00
10
01
01
00
01
00
00
01
10
11
10
00
00
00
01
01
11
11
10
00
00
10
11
10
10
00
01
00
00
00
10
00
00
11
01
00
11
10
10
10
01
01
00
00
00
11
00
00
10
11
11
10
10
01
01
01
11
11
11
01
00
00
10
01
00
11
11
00
00
01
01
01
01
11
10
10
00
00
00
10
10
00
00
11
10
10
10
11
10
01
10
00
11
00
10
11
00
00
01
11
10
10
11
00
00
10
01
10
10
00
11
10
00
11
01
01
11
10
10
10
01
10
10
10
00
00
01
00
10
10
01
10
00
01
11
01
10
00
01
11
00
10
00
01
11
00
01
01
10
01
00
10
10
11
00
01
10
10
11
00
00
00
10
10
10
10
00
10
10
01
10
10
10
00
00
00
10
10
00
11
11
00
00
11
00
11
10
00
00
10
00
11
00
01
10
01
00
00
10
00
01
10
00
00
01
11
11
11
10
11
00
00
01
10
10
01
00
10
01
01
00
00
10
10
10
00
01
11
00
00
10
00
00
10
11
00
10
01
00
10
00
10
11
10
11
00
10
00
10
10
00
00
10
10
00
10
00
00
11
01
00
10
10
11
11
10
01
00
11
00
11
10
00
01
10
01
10
01
01
10
10
00
10
10
01
01
10
00
10
10
00
01
00
10
10
10
01
01
11
11
10
00
00
00
00
01
11
11
11
01
00
00
01
01
11
00
01
11
10
01
10
11
00
10
11
10
10
01
00
11
00
01
10
11
01
00
01
00
10
10
10
00
10
00
01
10
10
01
00
11
10
10
00
00
10
00
00
10
00
00
10
00
01
10
10
00
10
10
00
00
01
00
11
10
10
10
10
10
00
11
10
10
00
01
11
00
00
10
00
00
00
00
10
10
00
11
10
11
00
11
10
01
00
01
00
10
10
01
00
00
10
11
00
00
01
11
10
00
00
01
01
00
01
00
11
00
00
11
00
01
11
00
00
11
10
10
10
00
01
11
10
00
00
10
00
10
00
01
00
11
00
01
11
10
10
11
10
00
10
01
11
10
00
00
00
10
00
11
00
00
10
01
00
00
01
10
00
10
00
10
11
01
10
11
01
00
01
10
10
01
00
10
00
00
10
10
10
00
11
10
01
11
00
10
10
10
00
10
11
01
00
00
10
11
10
01
10
10
11
10
00
11
00
00
10
00
10
00
11
10
00
00
00
10
01
10
11
00
00
00
00
10
01
00
10
01
10
10
11
10
10
11
00
00
10
00
01
00
10
00
10
10
11
10
00
10
11
00
00
00
00
00
10
11
11
00
11
00
00
00
11
10
10
01
00
00
11
00
00
10
00
10
01
01
10
10
10
01
00
01
01
10
10
11
00
11
11
00
10
11
00
00
00
10
10
11
10
10
10
00
01
10
01
10
10
01
10
00
11
01
00
01
10
10
10
01
10
00
00
11
11
10
00
00
11
01
01
00
01
01
01
11
10
11
00
10
11
00
00
10
10
00
00
01
11
10
00
01
00
10
00
10
00
11
10
00
10
11
10
00
01
10
10
11
01
00
11
00
00
11
10
10
00
11
10
00
00
01
00
11
10
11
00
01
00
11
01
00
01
11
00
10
11
01
01
10
10
10
00
10
10
00
00
10
10
10
11
01
00
01
10
00
11
00
01
10
00
10
00
00
10
00
00
01
10
00
01
10
11
11
10
10
01
10
00
10
11
11
00
00
10
10
00
00
00
10
10
00
10
11
01
10
00
10
10
00
11
00
01
10
10
10
00
10
00
01
10
11
10
10
10
01
10
10
11
00
10
10
10
00
11
10
00
00
00
00
00
00
10
00
10
11
00
01
01
10
00
00
11
01
11
10
01
01
10
11
00
11
10
11
00
00
01
11
00
00
10
11
10
10
10
01
00
00
10
11
10
00
01
11
11
11
10
10
00
10
01
10
11
00
01
00
11
10
01
10
00
00
10
10
00
10
11
00
10
00
00
00
11
10
00
11
10
10
01
11
01
10
00
10
10
10
00
11
00
01
00
10
11
10
00
10
01
01
00
11
11
00
01
11
01
00
10
00
01
01
10
11
00
10
00
11
00
10
00
01
10
10
00
10
10
00
10
01
00
00
10
11
10
11
10
00
01
10
11
10
01
00
10
10
00
10
10
00
01
00
11
10
10
00
10
10
10
10
00
00
01
10
00
10
10
10
10
00
00
10
01
00
11
10
10
00
11
10
11
10
00
01
00
11
10
00
00
11
01
11
01
01
01
10
00
10
11
00
00
10
11
10
10
10
10
00
00
00
01
00
10
11
11
11
10
10
00
01
10
01
10
10
00
01
00
11
10
01
10
11
00
00
10
10
00
01
00
10
11
01
01
00
00
11
10
00
01
10
00
00
10
01
10
10
00
10
11
11
00
00
10
01
10
01
10
11
00
01
00
11
10
01
10
10
00
00
10
01
11
11
10
01
11
10
01
00
00
10
10
00
10
10
11
00
00
11
01
10
01
11
11
10
01
01
01
01
11
00
00
10
11
01
01
10
10
10
00
00
01
00
10
00
10
00
10
10
01
00
11
00
00
10
01
00
11
00
00
01
10
00
10
00
00
00
10
00
00
01
10
01
00
01
00
11
00
01
00
10
11
01
00
10
00
10
10
01
01
00
11
10
10
10
11
10
00
01
11
10
11
00
10
10
00
00
10
10
00
00
01
00
11
10
11
00
00
00
10
10
00
10
10
00
00
00
10
01
00
10
10
10
00
10
10
01
10
10
00
00
10
10
00
01
01
10
10
00
01
01
00
10
10
01
10
10
00
00
00
10
00
00
00
00
11
00
01
10
11
11
00
00
11
11
01
00
00
11
11
01
00
10
10
10
10
11
11
01
11
00
10
00
00
10
00
10
10
10
10
11
11
10
00
10
00
11
10
11
00
00
00
10
10
00
10
11
11
01
10
01
11
11
11
11
01
10
10
00
11
10
10
00
01
11
10
10
00
10
10
00
00
00
10
10
10
10
00
10
10
10
01
00
00
00
10
01
01
00
01
00
10
10
11
10
10
00
00
00
00
01
10
01
00
10
11
01
00
01
10
10
00
00
01
10
01
10
10
10
10
00
10
10
01
00
10
11
01
01
01
01
10
11
00
00
00
00
11
01
00
11
10
10
00
10
01
10
11
00
00
10
10
00
10
01
00
10
00
11
00
00
10
11
00
01
01
10
11
00
10
10
00
00
01
10
10
10
00
01
00
00
01
00
11
10
10
01
01
01
00
01
11
10
01
00
00
10
01
11
10
00
00
10
10
11
10
00
00
10
00
10
01
01
01
10
01
10
10
11
00
10
10
10
00
01
00
01
10
11
11
10
10
00
10
10
01
11
11
00
11
10
00
11
01
00
11
10
00
00
00
00
11
00
10
01
10
10
10
10
01
11
00
11
00
00
10
00
01
00
11
10
01
10
11
10
00
10
01
00
11
10
10
01
10
00
10
00
00
11
10
00
10
11
00
10
00
10
10
00
10
11
11
11
01
10
10
00
00
11
01
00
11
00
00
10
10
00
00
00
00
10
10
00
00
01
11
10
01
11
00
00
01
01
10
01
11
10
00
00
00
11
00
10
01
10
10
10
10
00
01
10
10
11
11
00
01
01
00
01
00
10
11
10
00
00
00
11
11
01
00
00
11
10
11
10
00
10
01
00
10
11
00
00
11
00
00
10
10
00
01
11
10
11
01
11
10
11
11
00
01
10
10
00
10
11
00
00
10
00
01
01
00
10
10
10
00
01
11
11
00
10
10
00
10
01
10
11
01
01
10
01
10
01
10
01
00
10
11
00
00
10
11
01
11
10
11
01
00
10
00
01
10
10
00
00
01
00
00
00
10
00
10
00
10
11
11
10
01
01
00
10
01
11
10
00
00
11
01
01
10
10
10
11
10
00
00
10
11
01
00
00
10
10
00
10
10
01
10
00
00
10
10
11
10
00
11
11
11
10
10
00
01
00
00
10
10
00
11
00
11
10
00
00
00
10
10
10
00
00
10
10
00
00
10
00
11
00
10
10
00
01
11
11
11
11
01
00
11
10
11
10
01
00
10
10
00
10
11
10
10
00
11
00
01
00
11
01
00
11
10
00
00
00
00
00
01
10
00
10
10
00
11
00
00
11
10
00
01
10
00
00
11
10
01
11
10
00
00
10
10
10
00
01
00
00
00
10
11
01
00
10
11
01
11
10
10
10
01
01
10
11
10
10
00
10
00
00
11
10
10
10
10
10
00
11
10
00
00
11
11
10
01
01
11
10
01
01
11
00
00
00
10
11
11
01
00
11
00
01
10
10
00
10
01
10
10
00
11
10
10
11
01
11
01
00
11
10
00
00
00
10
10
10
01
10
01
10
00
10
01
10
10
01
11
11
00
11
01
10
10
00
10
11
10
00
01
00
00
00
01
11
10
00
10
11
00
00
10
00
11
00
00
11
01
01
00
10
10
00
10
00
01
10
10
10
10
11
10
01
01
00
01
00
00
11
01
11
01
01
10
01
10
11
10
01
00
10
10
01
10
01
00
10
11
00
00
11
00
00
00
11
00
11
00
00
11
00
00
11
11
01
11
10
01
10
10
00
00
10
10
10
00
01
10
11
11
00
10
10
10
01
00
11
00
00
00
10
00
00
10
11
10
10
00
01
01
01
00
10
11
00
11
00
01
10
10
11
10
01
10
10
00
11
00
10
10
00
11
00
10
10
10
00
11
01
00
10
10
10
00
10
00
11
10
01
10
10
00
00
00
00
10
10
01
10
10
01
10
00
01
00
00
00
00
10
10
00
10
00
11
10
01
00
01
10
10
10
11
01
00
10
00
10
11
10
11
00
00
00
10
10
00
01
00
00
00
10
10
10
10
00
00
10
11
10
11
11
10
00
00
11
10
00
00
10
10
00
00
10
00
11
11
00
10
00
01
00
11
00
01
10
10
10
11
11
11
00
00
00
10
00
00
10
11
00
00
01
00
00
01
10
01
01
11
00
01
01
10
10
01
00
00
00
00
00
11
00
01
11
00
11
10
10
10
01
00
00
10
10
10
00
00
11
10
10
01
10
10
00
10
10
11
10
00
00
10
00
10
10
00
11
01
10
11
10
11
00
01
00
10
10
00
10
10
10
11
00
00
01
00
11
00
01
00
01
11
11
01
00
01
00
00
10
10
11
01
00
00
10
11
10
01
00
10
10
10
00
10
10
01
10
00
10
00
11
00
10
10
11
00
10
00
10
10
00
10
10
01
00
10
11
10
01
00
00
01
00
10
10
01
00
00
01
00
10
01
10
00
00
10
00
00
11
00
10
11
00
10
00
10
10
11
00
01
11
00
00
10
01
00
10
10
10
10
10
01
11
00
10
00
01
00
00
11
01
11
00
11
10
01
00
00
00
10
01
10
01
11
11
11
00
11
00
00
00
00
11
10
10
00
00
11
10
10
01
10
10
11
00
10
10
00
11
01
01
10
00
00
10
11
00
10
10
00
10
00
10
01
00
10
11
11
00
10
01
11
00
00
01
10
11
10
11
00
00
11
01
01
11
10
01
01
00
00
11
00
01
10
10
10
01
10
00
00
10
01
11
01
01
10
11
10
00
01
00
10
10
10
01
10
11
11
10
11
10
00
10
00
00
10
10
01
10
00
10
10
00
10
10
10
00
00
11
10
10
00
10
00
00
01
01
10
10
00
00
00
00
10
10
10
11
10
00
00
01
01
00
10
11
11
01
01
00
11
01
10
00
00
10
10
01
00
00
11
10
10
11
01
01
10
11
10
01
00
10
00
10
10
01
01
10
01
11
11
01
00
10
00
01
10
00
00
11
00
10
00
00
10
00
10
00
11
10
11
10
01
10
00
00
00
11
10
10
00
00
11
10
11
11
10
01
00
01
10
10
00
01
10
01
01
10
11
10
00
10
10
00
00
11
10
11
00
00
10
10
00
11
10
01
00
10
10
10
00
11
11
00
00
10
00
00
01
00
11
00
00
10
10
11
10
10
01
10
10
00
10
10
01
01
01
01
00
01
00
01
11
01
10
11
10
10
00
10
10
10
00
00
01
11
10
00
00
00
00
00
10
10
10
01
10
00
01
10
00
00
01
10
01
00
00
01
00
01
11
10
00
00
00
10
10
01
10
10
00
00
10
11
00
11
10
10
00
10
10
00
10
01
00
01
10
01
10
10
00
00
10
10
00
01
10
10
10
00
11
10
00
00
10
10
01
00
00
11
00
10
10
00
10
10
00
01
10
11
00
01
11
01
11
00
11
10
10
01
00
10
10
01
10
00
10
01
11
00
00
10
11
00
00
10
11
00
10
00
00
00
10
01
01
10
11
00
10
10
00
00
10
00
01
11
10
10
00
00
00
10
01
00
10
01
00
11
10
01
01
11
11
00
10
00
10
11
10
10
00
00
11
00
01
00
00
01
10
00
10
00
01
10
01
00
00
00
11
00
10
10
00
11
10
00
10
11
00
01
00
10
00
01
10
01
00
10
00
10
11
00
00
10
11
10
01
10
01
00
11
00
00
00
10
10
00
10
10
01
10
10
00
00
01
01
10
11
00
11
10
00
00
11
10
10
11
00
00
00
10
11
00
10
01
10
10
00
00
10
00
00
10
01
01
00
11
11
00
01
01
00
10
00
00
10
00
00
10
00
00
00
10
10
01
00
10
10
00
10
00
00
10
10
10
00
11
01
01
10
10
01
00
10
00
10
11
01
10
01
00
00
11
10
00
00
10
10
10
01
01
00
10
01
00
11
01
11
01
00
00
10
10
01
11
01
00
01
00
01
00
11
10
00
10
10
00
01
00
11
01
00
00
10
11
00
00
01
11
10
10
00
00
10
10
00
10
10
10
00
11
01
01
00
11
10
01
00
10
11
01
10
00
00
10
00
00
00
00
00
10
00
10
01
10
10
01
10
00
10
11
00
10
10
01
11
10
11
10
10
00
10
00
10
00
00
00
00
10
01
00
00
10
01
01
00
01
10
00
00
11
00
00
10
00
00
11
11
01
11
11
10
10
00
11
00
01
10
00
00
00
00
11
00
11
10
00
11
00
10
00
01
10
11
10
00
00
00
00
11
10
10
00
00
10
00
01
00
00
10
10
10
00
00
10
00
01
00
00
00
10
00
00
01
11
00
10
10
00
00
10
01
00
01
00
10
11
10
01
11
11
01
10
11
00
00
11
10
01
00
11
00
10
00
00
00
10
11
11
11
10
00
10
00
10
10
01
00
01
11
11
10
00
01
01
00
10
01
00
01
00
10
00
00
10
10
01
00
11
00
10
00
11
10
10
00
01
10
11
00
11
11
01
00
00
01
10
10
00
11
11
10
10
00
00
11
11
01
10
01
00
00
10
00
01
00
01
10
00
00
01
00
10
10
01
10
11
10
11
11
01
11
10
11
01
10
00
00
10
10
01
00
10
10
10
00
01
00
00
01
11
01
10
10
10
00
01
10
00
01
00
11
11
10
10
10
11
10
10
01
10
11
00
01
11
11
01
01
10
11
00
00
10
10
00
00
00
10
10
11
00
11
00
00
10
11
00
10
10
00
10
00
10
00
11
11
10
01
00
10
01
11
01
00
11
11
10
00
10
10
10
00
00
00
00
11
10
10
00
10
10
10
10
00
00
00
10
01
00
10
00
10
00
00
01
01
11
11
01
00
11
11
00
01
11
00
00
10
00
00
00
11
10
11
00
00
00
00
10
10
10
00
10
00
00
11
11
10
01
10
11
00
10
11
10
01
10
00
00
11
00
10
01
01
10
10
00
10
01
00
01
11
10
00
11
01
10
10
00
10
00
00
10
00
01
10
00
10
10
10
00
00
11
00
00
10
00
10
10
00
00
10
10
10
10
11
00
00
11
10
10
00
01
10
11
01
00
01
10
11
00
00
10
01
00
11
00
01
01
00
01
01
10
10
10
11
01
00
00
11
01
00
01
11
10
00
00
00
10
00
00
11
01
00
11
00
10
01
00
01
00
01
11
01
11
11
11
10
01
01
01
10
10
00
01
11
11
11
01
11
10
11
10
01
10
11
00
00
11
10
00
00
10
10
10
00
00
00
10
01
10
11
10
10
10
10
01
00
11
01
00
10
10
10
00
00
10
10
11
11
01
00
01
01
10
00
01
00
01
00
11
11
11
01
00
00
11
00
00
11
11
10
00
00
00
10
10
01
10
00
01
11
11
10
10
10
11
10
10
10
00
00
10
00
00
00
10
00
11
11
10
11
00
11
01
10
10
10
10
11
11
01
01
11
11
11
00
00
01
10
10
00
10
00
10
10
01
00
01
11
00
11
00
11
10
00
01
10
00
00
00
10
00
10
10
10
10
10
11
10
01
00
00
11
01
00
10
00
00
00
10
00
11
00
10
11
10
00
10
00
00
10
00
00
11
10
00
10
10
10
11
00
01
00
10
10
00
11
10
01
01
10
11
01
00
10
01
00
10
00
01
10
10
00
01
01
00
00
00
00
10
00
10
10
11
01
00
01
00
01
11
11
01
10
00
01
10
10
00
00
10
01
00
00
10
00
11
11
11
01
01
00
01
00
10
00
00
11
11
00
11
01
11
00
00
00
00
00
10
10
00
00
10
11
11
00
11
00
10
11
11
00
11
11
01
01
01
01
00
00
10
00
00
00
10
10
01
00
10
10
00
10
10
01
00
10
11
00
11
11
01
11
11
00
10
10
00
00
10
10
11
10
10
10
01
11
01
01
01
01
10
00
10
10
00
00
01
01
10
11
01
11
11
01
01
01
00
10
11
01
00
00
00
01
10
00
10
10
00
11
00
11
00
10
10
10
10
01
00
10
10
00
00
10
00
10
11
00
11
11
10
10
01
11
11
00
11
10
01
00
10
01
00
01
00
01
11
00
00
10
10
00
00
11
00
00
10
10
11
10
00
10
01
10
00
10
10
01
10
10
10
10
10
00
11
00
11
11
00
01
10
10
10
10
00
00
01
11
10
10
00
00
10
00
00
00
11
00
10
10
01
11
00
11
00
10
00
10
01
11
00
00
01
10
00
00
10
01
10
11
10
11
10
10
01
10
00
01
00
11
01
11
10
00
01
00
11
00
10
10
00
00
00
01
00
11
10
00
00
10
00
01
10
11
00
00
10
00
01
10
10
00
01
10
01
01
10
10
00
00
00
00
01
10
11
00
10
10
11
01
11
00
00
11
11
11
01
10
10
00
00
10
00
11
10
00
00
01
10
10
00
11
00
11
00
01
10
00
10
00
00
10
10
00
11
10
11
00
10
00
10
00
10
01
01
01
10
11
00
11
10
01
10
10
10
00
00
10
11
00
00
10
00
01
10
00
10
10
01
10
10
00
00
00
00
10
10
11
01
10
00
00
01
01
01
00
00
10
10
01
11
11
00
10
00
00
11
10
10
00
10
10
00
00
10
10
01
01
10
10
00
10
00
10
11
00
10
01
00
10
10
11
10
00
10
00
00
01
10
10
00
00
10
10
00
10
01
01
10
11
10
11
11
00
00
00
01
10
11
00
00
11
10
01
10
10
10
10
00
10
00
00
00
10
10
01
10
01
11
10
00
01
00
00
10
11
11
01
10
11
10
00
11
10
00
01
10
11
10
00
00
10
11
00
11
10
10
00
00
11
10
00
01
10
00
10
10
00
01
01
10
00
00
10
00
10
11
10
11
00
00
00
10
00
11
00
00
10
00
10
01
10
10
01
10
10
00
01
10
10
00
00
01
10
10
10
01
00
11
00
00
00
00
01
00
00
10
11
11
11
00
00
00
00
10
00
10
10
00
00
10
01
00
11
10
00
00
10
10
00
10
10
11
00
00
01
01
00
10
01
11
00
01
00
10
01
01
01
00
01
11
00
10
00
00
10
00
00
11
00
10
01
10
11
10
10
00
10
10
00
11
00
01
10
11
11
01
11
11
01
11
10
00
11
10
00
00
10
10
10
01
01
10
11
10
11
00
00
10
11
00
10
00
00
11
01
11
00
11
00
10
00
01
10
11
00
00
00
00
10
10
01
10
00
00
10
10
11
00
00
10
11
01
10
00
00
00
00
10
01
10
10
00
00
10
00
01
11
00
10
01
10
11
11
10
00
00
10
10
10
00
11
10
00
01
00
10
10
10
10
10
00
00
10
00
10
00
10
10
00
11
01
00
11
10
10
11
00
10
10
00
01
10
10
10
11
00
10
00
00
01
10
00
00
00
11
10
00
01
00
00
10
00
10
01
10
10
00
11
10
00
01
01
10
11
00
01
10
00
11
10
11
01
01
11
11
00
10
10
00
10
11
01
00
10
10
00
11
10
11
10
00
10
01
10
11
01
00
11
10
10
00
10
01
01
10
10
10
10
00
00
10
10
00
10
11
01
00
10
11
00
00
10
10
00
10
01
00
00
11
10
00
10
10
10
11
00
10
01
00
00
00
10
10
00
00
11
00
10
00
10
00
00
00
10
10
10
10
00
10
10
11
01
10
00
10
10
00
00
11
10
00
00
00
10
01
10
11
00
10
11
00
10
01
01
10
01
01
10
11
11
11
01
11
10
00
00
10
00
01
01
10
10
00
01
00
00
10
00
10
00
01
10
10
01
10
10
00
00
00
10
00
00
00
00
01
10
01
11
10
11
11
00
00
00
10
11
00
01
00
11
10
10
00
10
00
00
00
10
11
10
10
01
01
00
01
11
00
11
00
10
10
10
01
11
10
01
10
10
00
00
00
11
01
00
01
01
10
00
10
11
00
01
11
11
01
00
10
10
11
01
00
00
00
00
10
11
00
11
00
11
10
01
10
01
01
10
10
01
10
10
10
01
00
01
10
10
00
00
00
11
11
00
10
10
00
11
00
01
00
01
10
10
11
11
00
00
11
11
10
00
00
10
10
10
00
00
00
10
01
10
10
01
10
10
00
00
01
01
10
10
01
00
10
01
10
00
00
10
10
10
01
00
00
00
00
10
10
11
00
00
00
00
10
11
11
01
10
10
10
10
11
00
01
11
00
00
00
00
00
10
00
10
01
11
10
10
10
11
11
10
11
10
11
11
01
00
11
10
01
00
11
11
01
11
10
10
11
00
01
00
01
10
11
00
00
11
10
10
00
00
10
01
00
01
10
11
10
00
10
10
10
00
11
10
00
01
10
10
00
10
10
00
00
10
10
00
01
01
10
00
10
10
00
10
10
00
10
01
10
00
01
00
10
11
01
10
10
01
00
01
10
11
11
10
00
10
00
01
01
10
10
00
01
00
11
10
10
01
00
10
10
10
01
10
11
00
00
11
01
10
10
11
00
00
11
10
11
01
00
00
10
00
10
00
00
10
00
00
00
10
00
00
01
10
00
10
11
00
00
10
11
10
10
00
10
01
01
11
00
11
10
11
11
01
00
00
00
11
11
01
00
10
10
10
10
11
01
11
00
00
00
00
10
11
10
01
00
01
10
11
00
00
00
00
10
10
11
00
10
10
10
00
00
00
10
01
00
01
10
01
10
00
11
00
11
10
00
00
01
11
10
00
00
01
10
10
00
10
10
10
00
10
10
00
11
10
01
01
01
11
01
00
11
10
10
00
01
00
10
00
10
10
01
00
10
10
00
10
11
10
11
01
01
00
10
11
01
00
10
00
11
01
01
10
00
00
10
01
10
10
00
01
11
00
10
10
10
00
00
01
00
10
10
10
00
01
11
01
00
10
10
10
01
00
10
11
10
01
10
10
01
11
10
00
00
10
01
00
00
10
00
00
01
11
11
00
00
10
00
00
01
10
10
00
10
00
01
00
11
00
00
00
11
01
11
00
01
01
00
01
00
11
10
00
00
10
10
10
10
01
11
10
00
00
01
00
00
11
11
11
10
10
01
11
11
00
00
10
10
00
11
01
01
11
10
10
11
00
00
00
00
11
10
10
10
10
10
10
11
00
10
00
00
10
10
10
01
10
10
00
00
11
01
10
11
01
10
11
10
01
10
00
00
10
00
01
00
11
01
11
00
00
10
11
11
00
10
11
01
00
10
01
10
10
10
01
01
11
10
00
11
10
00
10
10
01
00
10
11
01
10
00
00
11
11
00
00
00
10
11
10
01
10
11
10
10
11
11
10
00
01
10
01
00
11
10
11
01
00
00
10
00
01
10
10
00
11
00
11
10
00
10
10
00
00
11
11
01
00
10
10
00
10
00
10
11
00
00
10
10
00
10
00
01
01
01
00
00
01
10
01
00
11
10
01
11
10
00
00
00
10
10
10
00
01
10
10
01
10
10
10
10
10
10
01
00
10
00
10
11
10
00
11
01
00
01
10
01
10
00
00
11
00
00
01
11
01
10
11
01
01
00
11
00
00
10
10
11
00
00
10
00
01
10
00
10
11
00
01
11
10
00
11
01
11
10
00
01
01
01
10
11
10
00
00
00
10
10
00
00
10
00
00
11
10
10
10
00
10
10
10
00
00
11
00
10
10
10
10
00
11
10
00
10
00
10
11
10
01
11
10
10
00
11
10
10
00
00
00
10
10
11
10
11
01
00
10
10
10
01
11
00
00
11
11
00
00
11
11
01
01
00
10
10
00
01
10
10
00
11
00
00
00
00
10
10
01
10
10
01
10
10
00
11
00
00
10
10
01
01
10
00
01
01
01
10
11
00
10
10
10
00
00
00
00
01
00
01
00
01
01
11
11
00
01
10
11
11
10
10
01
00
10
11
00
10
00
10
10
11
01
00
00
10
01
10
01
00
00
10
00
11
00
11
10
10
01
11
10
00
10
11
00
00
00
10
11
11
01
00
10
01
00
10
10
00
00
00
10
10
00
01
10
01
11
11
01
10
01
00
00
00
11
10
00
00
10
10
01
00
00
01
10
11
10
00
10
00
00
00
00
10
10
00
01
00
00
10
11
00
10
01
00
01
10
01
00
10
00
10
00
10
10
11
00
01
11
10
11
00
10
11
10
10
00
01
10
01
10
00
01
00
11
10
10
01
10
00
00
00
00
01
11
10
10
11
00
00
10
10
01
01
01
11
00
11
11
11
10
00
00
11
10
01
01
10
10
10
00
10
11
00
10
10
00
10
10
10
01
01
11
00
11
11
00
10
01
00
11
10
10
01
10
11
00
11
10
10
00
00
00
10
01
10
10
00
10
10
10
01
00
10
10
00
01
11
00
00
10
10
00
00
01
10
11
11
00
11
10
01
10
10
10
10
01
00
00
10
01
00
10
00
01
11
10
01
01
10
00
11
10
10
00
00
00
01
00
10
10
10
00
10
10
11
10
00
00
10
10
10
01
00
00
11
10
01
10
10
10
00
01
10
10
00
11
10
00
00
00
10
10
00
00
10
00
11
10
10
10
10
00
10
01
10
00
00
11
11
00
11
11
00
00
10
01
01
01
01
01
00
01
11
01
00
11
11
10
11
10
01
10
10
10
01
01
10
10
00
10
10
00
11
10
10
00
00
11
10
10
10
10
00
10
00
01
01
00
00
00
10
10
10
10
10
00
00
00
01
00
11
10
11
00
00
00
00
00
00
11
10
01
10
11
00
01
10
10
00
00
01
10
01
10
10
10
10
11
00
10
11
00
10
10
01
00
00
00
10
10
11
00
00
01
11
11
01
10
01
01
10
01
00
10
00
11
00
00
10
10
00
00
11
00
10
10
10
10
00
00
10
00
00
00
00
11
00
11
01
00
01
10
10
00
10
00
10
10
10
00
01
10
00
00
01
01
10
00
00
10
00
00
10
00
10
10
01
01
10
00
01
11
11
10
11
11
00
01
11
00
10
10
00
00
10
10
10
10
11
00
01
00
00
01
01
10
11
10
01
00
10
01
01
11
00
00
11
11
01
00
11
10
10
00
10
11
01
00
10
00
10
01
10
10
00
00
10
11
10
00
10
11
00
00
10
11
10
10
10
00
10
11
00
10
10
10
10
01
00
11
00
00
00
00
00
10
10
01
11
00
00
10
01
10
01
00
00
01
10
10
10
01
00
00
01
10
11
00
10
01
00
11
00
00
00
01
00
00
00
11
10
10
01
00
00
10
10
11
10
00
00
11
00
00
10
10
00
10
10
01
10
00
11
11
10
10
10
10
11
01
00
10
00
01
10
11
10
10
01
01
11
00
01
10
10
01
00
00
10
10
10
10
00
10
11
00
00
01
01
11
00
00
01
10
01
00
10
10
00
01
00
01
00
01
11
10
10
11
10
11
11
01
00
00
00
00
00
10
11
00
10
01
00
00
01
00
00
10
10
00
10
00
11
00
01
10
00
00
00
10
11
00
00
10
11
10
10
10
00
01
00
01
11
11
11
00
11
01
01
10
01
11
10
00
11
00
01
00
00
00
11
11
00
01
10
11
10
10
00
01
10
10
11
01
00
10
11
00
00
01
01
10
11
01
10
10
11
11
00
00
11
10
00
00
10
10
00
00
01
00
00
01
10
00
10
10
00
01
00
11
00
10
11
10
10
00
10
10
00
00
10
00
10
10
00
10
01
00
00
00
01
10
10
00
10
00
10
10
10
10
10
11
00
01
11
00
00
10
01
11
11
00
10
11
00
00
00
00
10
10
10
10
01
00
11
10
11
00
00
01
10
00
01
00
00
00
11
10
10
11
00
01
10
11
10
10
11
10
11
00
11
10
00
01
00
10
10
10
11
00
10
10
01
10
00
10
10
11
00
00
10
10
01
01
10
11
00
01
00
01
10
10
10
01
01
11
00
00
00
11
10
00
00
10
10
11
00
00
10
11
00
10
00
00
00
10
10
00
11
01
11
01
11
00
10
00
00
00
01
10
00
00
10
10
00
00
11
10
11
11
00
11
00
11
00
01
01
01
10
10
00
00
10
00
11
10
01
00
00
11
11
01
00
11
00
10
11
10
01
01
11
10
00
10
00
00
10
10
01
00
11
11
00
10
11
01
01
01
10
11
00
00
10
00
00
01
00
10
11
10
11
00
00
11
10
01
10
10
01
00
00
01
00
11
11
10
10
10
00
00
11
10
10
10
00
01
01
00
00
01
10
11
00
00
10
00
10
00
10
11
11
10
11
11
11
01
00
01
10
11
11
01
00
11
10
01
01
01
11
10
01
10
11
00
10
11
00
10
00
00
01
10
10
00
10
10
10
01
10
10
00
01
01
10
10
00
01
01
11
11
11
00
11
00
00
00
10
11
10
10
10
00
11
10
11
10
10
01
10
10
00
11
11
00
11
00
10
11
10
10
00
11
11
10
00
00
00
10
00
00
10
10
00
10
00
01
10
01
00
00
11
11
01
00
00
10
10
00
00
01
10
01
00
10
11
11
01
01
01
10
10
00
10
11
00
00
10
00
00
10
10
00
01
10
10
01
10
10
00
11
10
00
01
01
10
11
00
00
00
10
10
11
00
00
10
01
00
10
11
11
10
10
01
11
10
00
11
10
11
00
00
01
00
00
00
10
11
10
10
00
10
00
00
11
00
10
10
00
00
10
00
00
01
00
10
10
01
10
00
10
11
00
01
11
11
10
11
11
00
11
00
00
00
11
10
10
11
00
10
11
00
01
10
00
00
00
10
10
10
00
10
01
01
00
10
11
00
00
10
10
01
00
11
10
00
10
00
01
10
10
10
00
01
00
00
10
11
00
10
01
00
10
00
00
11
00
00
10
10
11
01
00
00
01
10
01
10
01
01
00
11
00
01
11
10
01
11
11
00
10
10
00
00
10
10
00
00
00
10
11
10
10
10
01
10
10
01
00
11
00
01
01
00
00
10
11
01
00
11
01
10
10
11
10
10
00
00
10
01
10
01
01
10
10
10
11
01
10
10
11
10
01
10
00
01
00
10
11
10
00
00
11
10
10
00
00
00
00
01
11
10
00
00
00
10
00
00
11
10
10
01
10
10
10
00
00
01
01
10
10
01
10
10
00
00
11
10
01
00
10
11
00
10
10
10
00
10
10
01
00
10
01
00
10
01
00
11
01
11
11
00
00
00
01
10
10
00
00
00
00
01
00
01
10
00
10
10
10
01
11
10
11
11
00
01
10
00
10
11
01
01
00
10
00
10
10
01
10
11
00
00
00
11
11
10
01
00
00
01
00
00
00
10
10
10
00
10
00
00
11
00
01
01
10
11
10
01
10
01
00
10
00
00
00
11
10
00
10
00
00
11
11
11
01
00
00
00
00
00
11
01
00
01
00
10
11
01
11
10
00
00
01
01
11
01
00
10
10
00
00
10
10
00
10
00
11
10
11
00
11
10
01
11
10
00
00
00
01
11
10
11
10
11
11
00
01
10
11
00
10
10
00
01
01
00
10
10
10
10
10
00
00
11
00
10
00
00
00
00
10
10
00
10
10
11
11
10
10
00
11
01
01
11
11
00
01
00
10
10
00
00
11
10
00
00
01
01
10
00
00
10
00
00
11
10
01
00
00
01
10
10
00
00
10
10
11
00
00
01
10
10
10
10
10
00
00
10
00
10
00
10
11
10
11
01
00
00
00
10
10
00
10
10
11
10
00
00
00
00
00
10
11
10
00
11
10
00
00
00
10
00
11
10
00
11
00
00
10
00
00
00
00
10
11
00
00
11
01
10
00
01
10
00
01
10
00
11
01
01
10
00
10
11
00
01
00
10
11
00
00
01
01
10
10
11
10
00
00
10
10
10
01
00
10
10
11
11
11
10
01
10
00
01
10
01
00
10
11
11
01
01
10
11
00
00
01
10
00
10
00
11
10
01
11
11
01
00
10
00
01
10
00
01
01
10
00
10
01
00
00
11
10
10
00
01
11
00
01
11
10
00
00
00
10
01
01
01
01
10
01
10
10
01
10
11
00
01
10
10
10
00
01
10
00
00
10
10
10
10
11
11
00
10
00
01
00
01
10
10
00
10
10
10
00
10
01
10
00
00
00
00
11
10
00
10
11
10
00
10
00
10
00
00
10
00
10
00
10
01
00
00
00
00
11
11
10
10
00
00
10
10
10
01
10
11
01
01
10
00
00
11
10
10
10
00
01
00
10
11
11
01
01
10
11
11
00
11
00
01
10
10
00
00
10
10
10
00
11
11
10
11
10
01
10
10
10
10
00
00
10
10
01
00
10
10
01
01
11
10
01
00
11
10
00
11
10
10
00
10
10
10
01
00
00
00
00
01
10
10
00
01
11
00
10
11
00
10
00
10
10
10
01
00
10
10
00
01
00
00
01
10
11
01
01
00
00
10
01
00
11
11
00
00
11
00
00
11
10
00
10
10
01
00
11
10
01
00
11
10
00
10
01
01
00
00
10
10
11
00
11
00
11
00
00
10
00
10
11
00
00
00
01
11
01
10
01
10
00
00
11
10
00
11
10
01
00
00
11
11
01
11
00
00
10
01
01
11
01
00
00
10
00
11
11
00
10
01
11
10
11
01
01
11
10
10
10
10
00
01
11
10
01
00
00
00
11
00
10
10
00
11
10
10
10
00
00
10
10
00
00
10
00
10
01
01
10
10
11
10
00
10
11
00
01
10
01
00
00
10
10
11
10
00
00
11
11
10
00
11
00
00
00
11
01
01
00
00
11
01
10
10
00
01
10
00
00
01
10
11
00
10
00
00
11
10
00
00
00
00
01
00
11
10
01
01
01
10
01
10
00
00
11
00
00
11
10
00
01
00
10
10
00
10
10
10
01
00
10
00
01
01
01
01
10
11
11
10
10
10
00
00
11
10
00
00
01
11
00
10
11
00
11
01
00
10
00
01
11
01
00
10
10
10
10
10
00
00
10
10
01
11
00
00
10
10
10
01
01
11
10
10
10
10
00
10
10
00
00
00
01
11
10
00
01
10
11
11
00
10
10
00
01
00
11
10
00
00
10
00
10
10
10
11
01
11
10
00
10
10
01
00
00
10
11
01
10
01
00
01
00
10
10
10
00
10
10
00
01
10
10
00
10
10
10
00
00
11
11
11
10
10
10
01
00
01
10
00
01
10
00
11
11
00
10
10
00
10
10
00
10
00
10
00
01
00
10
01
01
00
11
10
00
00
10
00
10
10
00
00
10
10
11
00
10
00
10
11
10
10
01
00
00
00
10
00
01
11
10
00
10
11
10
11
01
10
00
10
10
00
11
10
01
11
00
00
00
01
00
00
10
00
11
11
11
00
00
10
10
00
00
10
11
10
00
11
10
11
10
11
00
01
01
10
00
00
10
10
00
00
11
00
00
01
00
10
00
11
10
01
00
10
01
10
10
00
00
01
01
00
10
01
00
00
01
01
01
11
11
01
00
01
10
11
00
00
10
00
00
11
00
01
10
11
10
01
10
10
01
00
10
10
00
10
00
11
00
01
01
00
00
00
01
11
00
11
00
10
00
11
00
10
01
00
00
01
00
11
00
00
00
10
01
10
01
00
00
10
11
10
01
10
10
00
00
10
00
01
00
01
10
01
10
10
11
00
10
10
11
00
11
11
10
00
01
00
01
10
10
10
00
10
01
00
10
10
10
10
00
01
10
00
00
00
01
11
10
10
10
00
01
01
10
10
00
00
00
01
01
10
00
00
00
11
11
00
10
01
00
10
11
00
00
00
10
11
01
10
10
10
00
00
01
10
10
10
01
10
01
10
00
11
10
00
00
00
10
11
10
11
00
01
10
10
00
10
10
00
11
11
10
00
00
01
00
11
11
00
00
11
11
11
11
00
00
10
10
11
11
01
00
10
10
10
11
10
10
00
10
11
01
11
10
01
00
10
10
00
10
10
01
01
00
10
10
01
10
10
00
10
00
00
01
11
10
01
01
11
10
00
10
01
10
10
11
00
01
00
00
00
10
00
00
10
10
10
10
00
00
01
10
00
10
00
00
10
00
00
01
10
10
10
00
01
10
00
10
11
10
11
11
00
11
10
00
11
00
00
10
00
01
01
00
11
11
00
00
00
00
10
00
10
10
10
00
00
01
00
10
00
01
01
00
00
10
11
10
10
01
00
01
10
01
00
00
00
10
00
01
10
11
10
01
00
00
00
00
10
10
10
01
00
01
11
11
11
10
10
10
01
00
10
11
00
01
11
01
10
00
10
10
00
00
00
10
00
00
11
00
11
00
10
10
10
01
00
10
10
01
00
10
01
00
11
10
11
01
01
10
10
10
10
01
10
00
01
00
10
00
00
00
00
00
10
10
10
10
11
01
10
00
10
00
11
00
00
10
00
10
11
01
00
00
01
00
01
11
11
00
11
10
00
10
10
00
10
10
00
01
01
11
11
11
01
00
00
10
10
00
10
01
00
11
00
11
01
01
01
11
10
01
00
10
00
00
10
10
00
01
00
11
10
00
01
00
10
11
10
01
10
11
11
11
01
01
00
10
01
00
00
01
10
11
00
01
00
11
10
11
00
00
00
10
01
00
00
00
00
01
01
10
11
11
00
10
11
00
00
10
10
00
10
01
00
10
00
11
01
11
11
01
11
10
10
00
11
01
00
10
11
10
11
10
01
00
01
10
01
01
10
11
01
10
10
00
01
00
10
01
01
11
10
11
01
10
10
10
10
01
11
00
00
11
10
00
00
10
10
00
11
11
01
00
11
00
00
00
00
00
10
01
10
00
10
10
00
00
11
10
01
01
11
01
10
01
00
10
00
00
10
11
00
10
11
11
00
00
11
10
00
10
10
00
00
10
10
11
10
01
01
01
10
10
00
01
01
00
10
11
11
01
11
00
00
10
00
10
10
00
10
01
11
11
00
00
00
10
10
00
01
00
10
10
01
00
10
01
00
00
11
10
00
10
10
10
00
11
10
01
10
11
00
10
10
01
01
00
00
10
01
00
00
10
00
00
00
00
11
00
11
00
01
11
10
10
11
00
01
10
00
00
00
11
10
00
10
00
11
00
00
10
11
00
00
00
00
01
11
10
00
00
00
11
01
00
11
01
00
10
00
10
11
01
00
11
01
10
10
00
10
01
00
10
00
10
10
10
10
00
00
00
00
10
00
01
10
11
00
00
11
10
01
10
10
00
01
10
11
10
01
10
10
00
00
10
10
00
10
10
00
10
00
01
10
10
00
11
11
01
11
10
00
01
11
01
10
11
00
10
00
10
00
01
01
10
00
10
00
01
00
00
00
10
01
10
10
00
01
11
10
11
11
10
10
01
10
00
11
00
01
01
10
10
01
00
01
01
11
01
00
00
00
01
10
01
01
11
10
00
11
10
00
00
00
10
10
10
10
10
10
01
00
00
00
10
01
00
11
00
00
10
00
00
10
10
01
11
10
10
10
00
01
10
10
00
00
10
00
00
10
01
10
11
10
10
00
10
00
00
11
10
01
10
10
10
00
00
11
00
01
00
00
11
10
00
10
01
01
00
11
01
11
11
10
01
00
11
10
00
10
10
10
00
10
10
01
00
00
00
01
00
00
11
10
10
01
10
00
01
10
00
01
10
00
01
10
10
11
00
10
01
00
10
00
00
00
10
01
00
00
01
10
11
00
01
11
00
10
10
10
00
11
10
00
00
11
10
00
10
00
00
10
01
11
00
00
10
00
00
01
11
01
00
10
10
00
00
10
00
01
10
01
11
10
00
11
00
00
01
00
10
11
01
01
10
10
00
10
11
10
10
10
00
01
01
00
11
01
10
11
10
00
10
10
01
00
01
11
10
00
11
01
10
10
00
01
00
01
01
11
11
00
00
11
10
00
00
10
01
01
00
10
11
11
00
00
00
10
10
00
01
10
10
11
10
01
00
10
11
11
00
10
10
00
01
11
01
10
00
10
10
01
00
11
10
11
00
00
10
10
00
00
00
10
10
01
00
01
00
10
10
10
01
00
11
11
00
10
10
01
01
00
10
10
00
00
11
10
00
00
00
01
11
10
00
01
10
10
00
01
10
11
00
10
11
10
00
01
01
10
10
01
10
10
00
01
00
11
01
10
10
00
00
11
10
00
10
00
00
00
00
11
01
01
10
00
11
00
11
00
10
10
10
11
00
01
00
00
10
00
00
00
00
10
00
10
00
00
10
11
00
00
00
00
10
00
10
10
11
01
01
10
11
01
11
10
00
00
11
10
01
00
10
00
01
00
11
10
01
01
00
10
01
00
10
00
01
01
11
11
10
00
10
01
00
10
11
10
01
11
10
10
11
11
00
00
10
10
11
00
01
00
01
11
00
10
10
10
01
00
10
10
00
10
00
11
00
10
11
10
10
01
00
01
10
01
00
00
01
11
00
01
10
10
10
10
11
01
01
01
00
10
11
11
10
10
10
01
00
11
10
10
01
10
10
10
10
00
00
00
10
00
00
11
01
00
11
10
00
01
00
00
00
11
11
10
10
11
00
10
11
10
11
10
01
00
10
11
11
00
00
10
10
01
10
00
00
11
10
10
11
10
11
00
10
11
00
10
10
11
01
11
10
11
00
01
10
10
00
00
10
00
00
11
10
01
10
00
10
00
00
10
01
00
10
00
01
10
00
00
00
00
11
10
10
10
10
00
01
11
01
00
11
01
00
10
00
00
11
00
01
10
10
00
10
10
10
10
00
11
00
10
10
01
00
00
10
11
00
10
00
11
01
00
00
11
10
10
00
00
00
01
00
10
10
10
11
10
11
00
01
01
01
00
00
11
11
10
00
10
10
11
10
00
01
10
10
10
01
00
00
00
11
10
01
00
10
10
11
00
01
10
10
00
00
10
11
10
00
11
11
10
10
10
00
01
11
11
00
11
00
00
10
10
00
00
00
11
10
10
11
10
10
00
01
10
01
00
01
10
10
10
10
00
00
10
10
00
01
10
00
01
00
01
10
11
00
11
01
01
10
11
00
11
01
00
00
00
10
10
01
01
11
11
01
00
00
00
00
10
01
00
10
10
00
01
10
00
11
10
00
00
11
01
00
00
10
10
00
00
00
01
10
01
01
10
00
10
00
00
01
10
10
11
00
10
10
00
10
00
10
00
00
00
01
11
10
11
10
01
10
00
10
11
00
01
10
10
10
11
11
00
01
11
10
11
11
10
00
01
10
10
00
00
00
00
11
10
00
00
10
10
00
10
11
10
00
10
01
11
10
11
10
10
01
01
01
11
11
00
01
00
01
00
10
11
01
10
11
11
10
01
00
00
01
00
00
10
10
00
00
10
11
10
01
10
10
00
00
10
10
00
00
10
10
01
00
10
00
10
00
10
00
10
00
00
10
00
01
10
10
00
10
10
10
00
00
01
00
10
00
10
01
10
11
11
00
01
10
10
10
11
01
00
11
10
01
11
00
01
00
10
10
00
00
11
10
01
10
11
10
10
00
01
00
10
00
11
00
00
00
10
00
10
10
11
00
10
00
10
10
00
10
00
00
01
11
10
01
10
11
10
10
00
10
10
01
00
11
01
00
10
00
00
00
10
10
10
00
01
11
10
10
11
11
11
01
00
10
00
01
00
10
10
00
10
11
00
01
10
01
10
00
00
01
01
10
10
00
00
00
10
10
11
00
00
00
00
11
01
10
11
01
01
01
10
10
11
00
00
10
10
01
01
00
01
11
10
10
11
10
10
01
11
01
10
00
00
10
00
00
00
10
10
00
00
10
00
00
00
10
00
10
11
10
10
11
00
10
01
00
11
00
11
10
01
01
10
00
01
00
01
10
10
00
10
11
00
00
10
01
00
00
10
10
00
01
11
10
00
00
01
10
11
00
10
11
11
01
00
10
10
00
00
01
00
10
10
10
00
00
00
00
10
10
00
10
01
00
10
10
00
10
11
10
00
00
11
01
01
10
11
01
10
00
10
00
00
00
00
11
00
00
11
10
11
00
10
10
10
10
00
11
10
11
01
00
00
00
10
11
10
01
01
01
11
11
01
01
10
10
00
11
10
01
00
01
00
11
00
01
01
10
10
00
01
00
00
10
10
00
00
10
10
01
10
00
11
10
10
10
11
00
10
00
01
10
00
11
11
00
00
10
00
00
00
10
00
10
00
11
00
00
11
11
11
01
11
10
11
10
01
01
10
10
00
00
10
11
00
10
10
10
10
00
10
00
00
00
01
01
00
10
00
00
01
10
10
10
11
00
10
01
00
11
10
01
00
01
10
11
00
10
10
10
10
00
10
10
00
01
10
10
11
10
11
00
10
10
11
10
10
00
00
01
11
00
00
00
10
00
00
01
10
10
11
11
11
11
01
10
11
01
01
00
10
00
00
10
00
10
01
11
10
10
10
10
00
00
10
00
01
10
01
10
00
00
00
10
11
11
00
01
10
10
10
10
01
10
11
00
00
10
00
00
00
00
10
01
01
10
00
11
11
11
11
00
10
11
10
00
01
11
01
00
01
11
00
11
10
11
10
10
00
01
01
00
00
10
10
01
01
01
01
00
10
10
00
10
00
00
10
10
10
10
00
00
01
01
00
00
00
11
00
11
11
00
00
10
00
10
00
00
10
00
01
00
10
11
01
11
10
00
10
11
10
01
10
10
11
00
00
00
10
11
10
11
00
10
10
10
01
10
10
11
10
01
00
10
10
00
01
00
01
00
01
00
11
10
00
01
11
00
00
10
11
00
00
00
10
10
10
01
11
00
00
10
11
00
00
10
11
10
01
11
00
00
01
10
10
10
01
10
11
00
00
10
10
01
01
10
10
10
10
01
00
01
00
11
10
01
10
00
10
00
00
10
10
00
11
00
00
11
11
10
01
10
10
00
00
10
10
00
00
00
01
00
01
11
11
10
00
11
00
11
10
00
00
10
10
00
10
11
01
01
11
10
10
10
01
10
11
00
00
10
01
00
00
11
10
01
11
10
01
00
10
00
11
10
00
00
00
10
10
00
11
11
00
10
10
00
01
11
00
10
00
00
10
10
01
10
10
00
00
00
10
10
00
10
10
11
01
00
10
10
11
00
10
10
00
00
10
01
10
10
10
11
00
01
00
10
01
00
01
10
11
01
01
01
01
00
11
00
01
00
10
11
00
00
10
10
00
01
10
01
10
11
00
00
01
00
10
01
01
10
10
11
00
11
11
00
11
11
10
10
00
00
10
10
00
10
11
00
00
11
00
10
00
01
10
10
00
00
01
01
00
10
10
01
11
10
01
00
11
11
10
11
10
00
01
10
00
00
10
11
00
10
11
01
10
00
10
10
00
11
11
11
10
01
10
01
00
11
10
11
00
01
00
11
00
01
10
10
00
01
00
11
10
00
00
11
10
00
11
11
00
01
11
11
10
01
10
00
10
11
00
00
10
11
00
01
10
11
00
01
01
00
00
01
00
10
10
01
00
00
11
10
10
00
00
00
00
10
10
10
00
11
01
00
00
10
10
10
10
00
01
00
11
11
11
01
00
10
01
10
10
10
10
00
00
10
00
00
10
00
10
10
10
10
00
10
11
00
11
10
11
10
10
00
11
10
01
01
11
10
00
00
00
10
00
10
10
00
00
10
01
00
01
10
10
00
10
10
10
10
00
00
11
11
10
10
00
10
10
10
11
00
01
11
00
10
00
00
10
10
00
11
10
10
10
01
10
01
01
11
01
11
10
00
00
10
10
00
10
10
00
00
11
10
10
00
10
00
01
10
01
10
10
11
00
11
00
01
10
01
01
10
11
10
01
00
01
00
10
10
11
00
00
00
11
10
01
10
01
10
10
10
11
10
01
01
00
10
10
01
01
11
10
01
00
00
10
11
01
01
10
10
00
01
10
01
10
00
00
00
11
11
00
00
00
11
00
11
10
11
00
00
11
01
00
11
01
10
10
10
00
01
01
10
10
00
00
10
10
10
00
01
11
10
01
10
11
00
11
01
00
11
10
10
11
00
01
10
10
00
10
10
01
00
10
00
11
10
11
11
01
10
00
00
10
00
00
10
00
01
00
00
10
00
10
10
01
10
00
10
10
10
10
00
11
01
01
01
00
10
10
01
00
00
11
10
10
10
00
00
00
00
11
10
10
00
00
00
11
10
01
10
10
00
00
00
00
11
10
00
00
00
10
10
00
00
10
10
00
01
10
00
10
00
11
11
10
10
00
11
01
00
10
00
11
11
01
11
10
01
00
00
00
00
10
00
00
11
10
00
00
00
10
00
00
10
11
10
10
11
10
01
01
10
00
00
10
01
11
11
00
10
00
00
11
00
10
11
01
00
10
01
00
00
01
00
10
10
00
10
11
00
01
01
10
10
10
10
11
00
11
10
01
10
01
00
00
00
11
11
00
01
00
00
10
11
00
00
10
11
11
10
01
10
10
11
00
10
01
11
11
10
00
11
00
10
11
00
00
00
01
01
11
01
00
00
00
10
11
10
00
00
10
00
11
00
10
00
00
00
00
10
10
00
10
00
11
00
01
01
01
10
00
10
10
01
01
00
10
00
00
10
01
10
10
10
00
00
01
11
10
11
00
00
10
00
00
00
00
10
10
10
10
11
00
10
11
10
10
00
01
10
01
00
11
00
11
00
00
11
01
00
11
00
01
10
11
10
10
11
00
00
01
00
11
00
10
11
01
00
10
01
00
00
00
10
00
10
10
00
11
11
10
10
00
11
00
11
01
11
11
11
00
10
10
00
01
10
11
00
01
10
10
01
00
10
11
01
10
10
10
00
11
10
01
11
00
01
01
00
11
00
00
01
10
11
10
00
10
00
10
00
10
11
11
11
10
11
10
10
01
01
10
10
10
01
00
11
10
00
01
01
11
00
10
10
00
10
11
00
00
00
10
11
11
10
10
11
10
00
00
01
10
10
00
10
01
00
10
00
00
10
10
10
00
10
00
11
10
11
01
10
00
01
01
00
01
10
10
00
01
10
11
11
00
10
11
00
00
01
10
01
00
01
10
00
00
10
01
00
01
10
00
00
10
11
01
00
11
10
11
00
00
11
10
10
00
11
11
10
10
00
10
10
11
00
11
10
00
01
11
10
00
11
10
11
10
00
01
00
01
00
00
10
01
01
10
10
00
00
01
01
10
10
00
00
11
00
11
00
00
10
00
10
11
10
11
10
00
10
10
00
11
00
00
10
00
11
10
10
10
00
01
11
01
00
01
00
10
11
01
10
10
00
11
10
10
00
01
10
10
11
11
00
01
10
10
01
00
00
01
00
10
11
11
11
00
10
10
00
00
10
11
00
01
01
00
10
10
00
10
00
00
00
11
00
00
11
00
10
11
00
10
00
10
11
10
11
00
11
11
01
10
00
11
10
00
01
10
10
00
00
01
10
11
11
00
01
01
10
00
00
10
11
10
00
00
10
00
00
00
10
11
11
00
11
00
01
00
11
01
10
10
00
00
11
10
00
10
00
00
11
01
01
10
11
10
10
00
11
10
00
10
11
10
01
00
00
00
00
00
00
10
00
01
00
01
00
00
11
10
10
00
10
10
01
00
00
00
11
11
10
10
00
01
00
10
10
00
10
11
10
00
00
01
00
11
10
00
10
10
00
10
00
00
01
10
00
00
00
00
00
01
11
10
10
10
10
10
11
00
00
11
11
10
01
00
10
00
10
10
10
01
00
10
01
00
00
00
00
11
01
01
11
00
10
10
10
00
01
10
11
10
11
00
00
00
10
10
00
00
11
00
10
10
10
11
11
01
11
01
01
00
00
11
01
00
10
10
11
01
10
10
00
00
00
00
11
00
10
00
01
01
00
01
00
00
00
00
11
11
00
01
01
00
00
00
10
00
00
01
11
10
00
00
10
10
00
11
11
00
10
00
10
11
00
00
00
10
00
11
11
01
00
00
00
01
10
00
10
11
01
11
11
00
00
11
00
01
00
01
11
00
01
00
00
10
01
10
11
01
00
00
00
11
00
01
10
10
11
10
01
00
10
10
00
01
00
11
10
00
10
11
01
00
10
10
10
11
01
11
10
11
00
11
01
01
11
10
00
01
10
10
00
10
01
11
10
00
11
00
01
10
01
10
00
00
10
10
11
00
01
00
10
10
00
00
10
10
01
00
00
10
10
10
10
10
01
00
10
10
10
11
11
10
01
10
00
10
11
00
10
11
00
00
10
10
10
10
00
11
10
10
01
10
10
10
00
00
00
11
10
10
00
00
11
01
01
10
00
01
10
01
01
10
11
11
11
00
00
11
11
10
00
00
00
10
00
10
10
11
11
00
10
00
00
10
10
00
00
11
10
01
11
10
11
00
11
10
00
00
10
11
01
00
11
10
10
00
10
00
00
01
10
11
00
00
00
00
10
00
00
10
11
01
00
01
10
00
01
10
10
01
00
10
01
00
11
11
11
00
10
00
10
10
00
11
11
10
10
00
00
10
10
00
10
10
01
10
01
00
00
11
00
01
10
01
00
00
10
10
10
00
00
01
10
11
10
10
00
00
01
01
11
10
00
11
00
10
10
10
00
00
10
01
10
10
10
10
00
00
00
00
00
00
10
11
10
01
00
00
11
00
01
00
10
11
01
11
10
10
00
01
10
10
00
00
10
00
11
00
01
10
11
01
00
10
10
00
01
11
11
01
10
11
10
11
00
10
11
00
01
10
11
01
10
00
10
01
00
00
01
01
00
01
01
11
11
01
10
00
10
10
00
11
00
00
10
10
00
01
10
01
10
00
11
00
00
10
11
11
01
01
00
01
00
10
10
00
11
10
00
01
00
00
11
00
00
10
11
10
10
00
00
01
10
01
10
00
11
00
00
00
11
00
10
11
00
01
10
10
10
00
00
10
10
00
11
01
10
00
00
00
01
10
00
10
11
00
01
10
10
01
10
01
10
00
10
00
00
01
10
11
01
00
01
01
00
11
11
00
11
10
00
00
11
10
01
11
11
00
00
00
10
00
00
10
01
00
10
10
10
11
11
00
11
10
01
00
00
10
10
10
00
00
10
10
00
00
11
01
00
10
00
00
00
10
11
10
10
10
00
00
11
10
10
00
10
10
11
10
10
10
00
11
11
10
01
00
10
10
00
00
11
01
01
11
10
01
10
10
00
10
10
01
10
10
10
11
00
11
00
00
01
10
10
10
00
11
10
11
10
00
01
10
10
00
00
00
10
00
11
10
10
00
00
00
10
10
10
01
10
11
10
01
00
11
10
01
00
11
00
00
00
11
10
00
00
10
00
11
01
01
00
10
00
00
01
10
00
00
00
11
00
10
10
11
00
11
11
10
11
01
00
00
10
10
10
01
01
01
00
00
00
01
00
00
00
10
01
00
10
01
11
00
11
00
01
01
01
01
00
01
10
01
00
10
10
10
01
00
01
11
10
10
00
10
01
10
11
01
10
10
00
11
11
10
01
00
10
11
01
01
10
10
00
10
00
10
11
01
01
10
10
11
00
11
10
00
10
10
00
10
00
00
10
00
00
10
10
01
10
01
11
00
10
10
10
11
10
00
01
00
00
00
10
11
00
01
10
10
10
01
00
11
00
00
00
10
00
00
11
10
00
00
11
00
01
10
10
01
00
10
10
01
00
01
11
10
00
00
10
11
10
00
01
10
10
01
10
10
10
10
00
01
00
10
01
11
11
11
10
00
10
01
10
00
00
11
01
01
01
00
01
11
00
10
11
01
00
10
10
00
00
11
10
01
00
10
00
01
11
11
10
00
00
11
00
00
00
11
10
11
00
00
10
01
11
11
00
00
00
01
10
10
00
00
01
11
01
01
10
10
10
10
10
00
00
10
00
10
00
00
00
00
10
11
10
00
11
11
10
10
11
00
10
10
00
00
01
11
10
11
11
10
01
01
01
10
10
00
00
11
10
10
00
00
10
11
00
00
10
10
01
01
00
00
00
11
00
10
10
10
10
01
11
00
00
11
10
10
11
00
01
00
11
00
01
11
10
11
10
00
00
10
11
00
00
11
01
01
10
00
11
00
10
10
01
11
11
11
00
01
10
01
11
10
00
01
11
10
00
01
00
11
10
10
00
10
00
00
00
10
00
00
10
10
10
10
00
01
00
01
10
01
10
10
00
00
01
10
11
10
01
01
01
00
11
01
00
00
00
11
00
00
10
11
00
00
00
10
11
00
00
00
00
01
10
00
00
00
10
01
00
10
01
00
01
00
10
00
01
00
10
10
00
00
11
00
01
10
10
00
00
10
10
01
00
00
11
11
01
01
00
10
10
00
11
01
00
11
10
10
00
11
00
00
10
10
10
00
01
10
10
11
01
01
10
10
10
01
10
10
11
00
11
10
11
10
11
10
10
11
01
00
10
11
00
00
10
01
00
01
01
11
11
11
10
10
00
00
11
10
00
01
10
10
10
00
00
00
00
10
10
01
00
01
01
10
10
10
00
10
00
10
10
00
11
10
10
10
00
00
10
00
10
11
00
11
00
00
11
01
11
11
01
00
11
00
00
10
11
10
00
11
01
11
10
10
01
11
10
00
01
10
11
01
10
10
00
10
11
11
00
10
11
00
01
10
11
00
00
00
11
00
01
01
01
10
10
00
00
01
10
10
00
01
10
10
00
11
11
10
11
01
11
01
10
10
00
01
10
01
00
10
10
00
01
10
10
00
00
00
00
10
10
10
00
10
11
10
00
00
10
00
10
10
00
00
00
10
00
00
10
10
10
10
11
10
00
00
10
11
10
11
00
00
10
11
00
10
11
00
01
00
01
10
01
01
10
00
00
10
10
00
11
01
01
10
11
00
00
10
00
00
11
00
01
11
11
10
00
10
10
00
00
11
01
00
10
11
01
10
10
11
01
00
10
10
00
10
10
00
11
11
01
11
11
00
10
00
00
00
00
10
10
00
10
01
10
11
10
01
10
10
10
01
00
11
00
00
10
11
10
01
10
00
01
10
00
00
10
10
00
01
01
10
11
10
10
11
10
10
01
00
00
00
01
00
00
11
11
01
11
10
10
01
11
11
00
10
10
00
11
00
01
11
11
10
11
11
00
00
10
00
00
10
10
01
10
11
00
10
10
00
10
11
01
01
11
01
00
11
00
00
10
10
01
00
00
10
01
10
01
10
10
00
00
00
11
11
00
01
00
10
10
10
10
00
00
10
01
00
00
10
01
10
00
10
11
11
01
00
10
00
10
11
10
11
00
01
00
00
11
11
10
00
11
10
01
00
01
01
10
01
01
00
10
10
10
00
00
11
01
10
10
10
00
01
01
01
11
10
11
00
00
11
10
01
10
10
01
11
11
10
10
00
00
10
00
10
00
00
00
00
10
11
01
01
10
00
10
11
10
10
00
00
10
10
10
00
10
00
01
11
00
10
00
10
11
01
00
10
10
01
00
10
11
00
10
00
00
00
01
10
10
00
10
10
00
00
00
10
10
00
00
01
11
00
01
10
00
11
11
10
10
01
00
11
10
10
01
10
10
00
11
00
00
10
11
00
01
10
00
00
10
10
00
00
10
10
10
00
10
10
00
10
11
01
10
01
10
00
00
01
10
10
11
01
10
10
10
00
10
10
00
01
10
00
10
00
00
01
10
01
10
10
10
11
11
10
10
01
01
01
00
00
11
10
11
00
00
00
11
00
10
10
00
00
00
01
11
01
11
11
11
00
10
01
01
10
00
01
10
00
00
11
00
01
10
00
10
10
00
01
01
10
10
10
00
10
11
00
00
00
11
10
01
00
11
10
10
10
00
00
10
10
11
00
10
00
10
10
01
00
10
10
01
11
11
00
10
00
01
00
00
10
00
00
10
01
00
01
11
01
01
01
01
11
00
00
10
00
00
01
10
10
01
00
00
10
00
10
10
10
10
10
11
00
10
11
00
01
00
10
10
01
01
11
11
01
01
11
00
00
10
01
00
10
00
00
10
00
00
11
10
01
10
10
10
01
11
00
01
11
10
10
01
10
11
11
01
00
10
10
01
10
11
00
00
00
01
00
00
10
10
00
00
10
10
00
00
00
00
01
00
10
10
00
01
10
01
00
10
10
01
01
01
00
10
11
11
10
01
11
10
00
10
00
10
10
00
00
01
11
00
01
00
11
00
00
01
00
10
11
00
10
11
00
11
00
10
11
00
10
00
01
00
10
00
00
00
00
00
10
10
00
00
01
10
00
10
11
10
11
00
01
01
10
10
01
01
10
10
00
00
00
10
01
00
10
01
00
11
01
01
11
10
10
00
00
10
00
00
00
10
10
11
10
00
00
00
10
00
10
10
11
11
00
00
10
10
10
10
00
00
10
11
10
01
00
01
10
10
00
11
01
00
11
11
11
01
01
01
00
10
10
01
00
11
10
01
10
00
01
01
01
10
11
00
01
10
10
00
00
11
10
00
00
00
10
10
10
10
10
10
11
00
10
00
11
10
01
01
00
10
01
10
10
00
00
11
10
10
10
00
00
11
00
10
00
11
00
01
10
00
00
10
10
11
00
00
10
11
10
11
00
00
01
11
00
00
01
11
00
00
11
10
00
10
00
01
10
10
01
00
10
00
10
01
00
10
10
10
01
00
01
11
10
10
01
10
11
11
00
00
10
10
11
00
00
01
01
10
10
01
10
00
01
10
00
00
10
00
00
00
10
10
10
00
11
11
00
10
01
10
01
11
00
10
10
01
01
10
11
11
10
00
01
01
00
11
10
00
00
10
11
00
01
00
10
10
01
10
01
00
01
10
01
11
10
00
00
01
01
00
10
00
11
11
10
10
10
10
10
00
10
00
00
10
10
00
10
00
01
00
01
00
10
11
01
00
10
11
01
00
00
00
11
11
10
11
00
00
00
10
00
00
00
01
10
11
10
01
10
10
01
10
11
00
01
10
10
00
00
00
10
11
00
10
00
11
00
00
00
00
10
11
01
11
01
10
01
10
00
00
01
10
11
10
00
11
10
01
10
11
00
00
10
00
00
10
00
00
10
10
00
00
00
00
00
00
01
10
10
11
10
10
10
11
10
10
11
10
10
00
00
00
00
00
10
01
10
10
00
10
10
01
11
10
00
10
10
00
01
10
10
00
00
00
10
01
01
10
01
00
01
00
01
11
00
00
11
01
10
10
00
10
00
00
00
00
11
01
01
11
00
10
11
10
10
00
01
10
10
10
00
10
10
11
01
11
00
01
00
00
10
01
11
11
01
01
00
10
10
10
11
00
10
00
00
10
10
10
00
00
00
10
00
10
10
10
01
00
11
10
01
10
10
00
00
11
11
10
00
01
10
00
01
00
10
01
11
11
00
00
11
00
01
00
10
10
01
10
01
10
10
10
01
00
11
00
01
10
01
11
11
00
01
01
01
01
10
11
11
10
10
00
11
00
00
10
01
00
01
10
11
11
01
00
01
10
10
00
00
10
11
10
00
10
10
10
00
10
00
10
11
00
00
10
00
01
11
00
10
10
00
01
10
10
00
10
00
00
11
01
00
10
00
00
00
11
11
01
00
11
01
01
11
01
10
10
10
00
00
01
10
10
10
01
00
01
11
11
00
00
10
11
00
11
11
00
11
00
11
00
00
10
00
10
00
00
11
00
11
00
10
01
11
10
00
10
10
11
11
00
00
10
11
00
10
10
00
00
11
10
10
01
00
00
00
00
10
10
11
00
11
10
00
10
10
10
00
00
11
11
00
00
10
10
11
00
10
10
10
00
00
01
01
00
10
00
10
00
11
10
00
00
10
11
10
00
00
00
10
10
10
10
01
10
00
10
11
10
00
00
01
10
01
00
11
10
00
10
00
11
10
10
01
10
01
10
10
00
10
00
10
10
01
11
11
00
10
00
10
10
00
11
10
00
01
10
00
00
00
00
01
00
00
11
11
01
01
00
11
00
01
10
10
00
00
10
11
10
00
00
10
00
00
00
11
10
10
00
01
10
11
10
00
11
00
10
00
01
00
00
10
10
11
10
01
10
00
10
01
01
10
01
00
00
01
01
10
00
00
10
01
10
11
10
01
10
00
00
11
10
00
00
00
10
11
10
00
00
11
10
11
10
00
00
00
00
01
01
10
10
00
10
00
11
10
11
11
00
00
10
01
00
11
10
00
11
00
01
00
00
11
11
11
00
00
11
10
00
01
00
11
01
11
10
11
01
00
10
10
10
00
10
10
00
11
10
00
10
10
11
01
10
01
00
00
10
11
00
01
00
10
00
00
10
10
10
10
00
01
00
11
10
10
10
00
11
11
10
00
10
00
00
11
01
10
00
00
01
00
00
00
00
00
01
01
01
00
10
11
10
10
10
10
10
10
01
00
10
00
10
10
00
00
00
11
10
10
11
01
00
10
10
01
11
10
10
10
00
00
10
00
00
10
10
11
00
01
10
10
10
01
10
11
01
00
10
01
00
10
10
11
11
10
10
00
11
11
00
11
10
00
11
11
00
01
00
10
00
11
11
01
11
10
01
00
00
10
10
01
10
10
01
10
10
00
10
11
01
10
00
10
10
00
00
11
11
00
01
00
11
11
01
11
00
10
10
01
10
00
10
10
11
00
01
10
10
00
00
10
00
11
10
10
10
00
01
10
00
10
11
10
00
00
00
11
10
10
10
00
00
01
00
11
00
00
01
11
00
10
10
01
10
10
01
00
10
10
11
01
00
00
11
10
11
00
00
11
00
01
11
10
00
00
10
00
00
10
10
00
00
10
00
00
10
01
00
10
00
00
11
10
00
00
10
01
10
00
11
10
00
10
00
00
00
00
10
11
01
11
11
01
10
11
11
01
00
10
11
00
10
01
01
10
11
10
01
01
01
10
10
00
11
01
10
10
00
10
00
01
01
11
10
00
10
00
01
10
00
11
10
01
11
00
00
00
10
00
11
10
01
10
01
11
01
10
00
11
11
00
01
10
10
00
00
10
10
01
01
10
01
00
01
10
10
10
00
01
00
11
11
10
01
10
00
00
01
01
10
10
00
00
00
10
10
01
00
10
10
10
00
00
10
10
10
00
00
00
01
00
01
10
10
10
10
10
00
10
10
00
10
11
00
01
00
10
00
00
10
00
11
10
00
00
01
00
11
10
10
10
10
10
01
10
00
11
11
01
00
00
10
11
01
00
10
10
11
01
01
01
11
10
10
01
01
00
10
10
00
10
11
00
01
00
11
00
01
10
10
10
00
01
10
00
01
00
11
10
00
01
11
10
10
10
10
00
00
10
10
00
10
10
00
10
11
10
10
11
00
10
10
11
00
00
10
10
10
01
01
00
00
00
00
10
00
10
10
00
11
11
10
11
01
00
11
10
11
01
00
10
00
01
11
11
10
11
00
10
00
10
10
00
00
10
00
10
10
00
10
00
11
10
11
00
00
10
10
00
00
10
00
10
00
10
10
11
00
11
10
00
00
00
10
11
10
00
10
10
01
10
00
01
01
11
00
10
10
01
00
11
01
01
10
11
10
00
11
10
10
01
00
10
10
01
11
00
10
00
11
10
00
11
11
10
10
10
00
01
00
11
10
11
11
11
00
10
10
10
00
01
00
11
00
11
01
10
00
10
10
01
00
11
10
01
00
11
11
10
11
00
00
01
10
10
10
00
01
10
01
10
00
01
01
00
10
00
00
10
10
01
10
11
00
10
11
10
11
01
01
10
11
10
11
10
00
01
01
11
11
00
01
00
00
00
11
10
00
10
10
10
00
00
10
11
00
01
10
10
00
10
10
01
01
10
00
00
10
11
10
11
10
01
00
00
10
10
00
00
10
10
11
00
10
01
10
10
10
01
01
11
01
00
00
10
01
11
11
10
01
11
10
10
01
01
10
01
00
00
00
00
10
11
10
00
10
10
10
00
01
00
10
10
01
00
11
00
11
10
00
10
00
10
11
01
00
00
00
01
10
11
00
10
00
10
10
10
10
00
00
11
10
00
00
10
00
00
01
00
10
00
10
10
11
00
01
01
10
10
10
10
00
00
10
00
00
00
00
10
11
01
00
00
10
00
01
10
10
10
01
00
01
10
10
00
11
01
00
01
11
00
10
00
10
10
00
00
10
10
00
00
01
10
10
01
10
01
10
10
01
01
01
10
10
01
10
10
11
10
01
00
10
10
00
00
10
10
00
01
11
10
00
00
10
10
00
11
01
00
00
10
00
11
00
10
10
11
00
01
01
10
10
10
00
11
10
00
10
10
10
00
00
01
01
10
10
00
11
00
10
01
01
01
10
00
01
10
10
00
10
11
01
11
00
00
00
11
00
10
10
00
11
10
11
10
01
00
11
10
00
10
00
10
10
00
10
00
00
00
10
10
00
10
10
00
01
00
10
11
11
01
00
10
10
10
11
01
00
10
01
10
01
00
11
00
00
11
01
11
11
00
00
01
00
01
01
10
10
10
10
00
00
01
10
10
01
00
10
00
00
10
00
00
00
11
10
11
00
10
10
00
00
00
00
10
00
00
11
10
10
00
01
00
00
10
00
01
10
00
01
00
11
10
01
00
00
10
11
00
01
00
11
00
00
11
11
00
10
01
00
11
01
10
00
11
00
10
00
01
10
11
00
01
00
11
00
00
11
00
11
11
10
10
10
00
00
10
10
00
00
01
11
00
11
01
11
01
10
00
10
00
01
10
10
00
00
00
00
01
00
01
10
11
10
01
11
11
01
01
11
01
10
10
10
11
10
00
10
10
11
10
01
01
00
10
00
11
11
10
01
11
10
00
00
01
00
10
11
00
00
00
10
10
10
01
01
10
00
10
00
10
10
00
00
11
00
00
01
10
10
00
11
10
01
00
00
00
10
00
10
11
10
10
00
00
11
10
11
01
01
11
10
01
00
10
11
10
00
10
10
01
11
11
00
10
10
10
00
00
00
10
10
11
00
01
10
11
10
10
10
01
10
00
10
10
00
00
00
10
00
00
10
00
11
01
01
00
11
10
01
10
10
10
00
01
00
01
10
00
10
00
00
01
00
00
10
10
00
10
10
00
10
00
10
01
00
00
10
10
10
11
10
10
00
00
00
00
10
00
00
10
01
00
00
11
10
00
10
00
10
01
10
10
10
01
10
10
01
00
00
00
11
10
11
00
11
10
01
00
01
10
10
01
01
01
10
10
00
11
10
01
00
11
10
01
00
00
10
10
10
11
00
00
00
00
00
10
11
00
10
10
00
10
11
11
01
10
11
10
01
00
00
11
10
00
10
00
00
00
00
00
11
11
01
00
10
11
00
01
10
10
01
00
00
01
00
10
00
01
10
01
00
00
00
00
10
11
11
10
10
00
10
10
00
10
00
10
10
01
00
11
01
00
00
01
10
11
00
00
10
10
01
01
11
10
00
00
00
00
00
10
11
00
00
00
00
00
00
10
10
11
10
01
01
11
01
01
10
00
11
10
00
10
11
11
00
00
11
00
10
00
00
00
11
00
01
10
11
11
00
11
00
00
10
00
01
10
10
00
01
01
11
10
10
10
00
00
11
10
00
10
10
10
10
01
10
00
01
01
01
10
01
11
11
11
01
01
01
10
11
10
00
11
00
00
10
10
01
11
10
00
10
01
11
00
00
10
00
01
11
01
00
00
11
10
00
10
00
00
10
11
11
10
10
01
00
01
10
10
10
10
10
00
11
10
00
01
10
10
00
00
01
10
10
00
10
00
01
10
10
11
00
10
11
00
01
10
00
00
11
10
00
10
11
00
00
10
10
00
10
00
10
00
01
10
00
01
10
10
01
10
10
10
10
11
11
11
00
11
00
00
10
10
00
00
00
11
00
11
10
00
01
10
00
01
00
10
10
10
11
10
01
01
10
11
01
00
10
11
10
01
01
10
00
10
10
00
00
00
01
10
10
10
10
01
00
11
10
10
01
01
00
00
10
11
10
10
01
00
10
10
11
01
00
01
00
11
00
00
00
10
11
11
11
11
01
10
01
10
10
11
01
00
10
10
10
00
01
10
10
00
01
00
11
11
10
10
10
11
00
00
10
01
00
11
00
00
10
11
00
01
10
11
00
10
00
00
11
10
11
00
10
10
01
10
00
00
10
00
00
10
10
00
10
10
11
11
11
10
01
10
01
01
10
00
00
11
01
00
11
10
01
00
01
11
10
00
01
10
11
11
00
00
10
10
11
01
01
11
10
01
00
11
01
00
11
00
00
10
11
00
01
00
11
11
10
01
00
11
00
11
11
10
11
00
11
10
11
00
01
00
10
00
00
10
10
00
01
10
11
00
00
00
11
10
10
01
00
10
00
10
00
11
11
00
10
01
01
10
10
00
10
11
10
01
00
10
10
01
01
11
00
00
10
10
10
00
01
11
11
00
00
11
10
00
11
10
01
10
00
00
10
11
01
01
10
11
00
00
10
01
00
11
00
00
01
00
00
10
00
10
00
10
11
01
10
10
00
00
00
00
10
11
01
11
00
10
01
10
11
00
10
10
10
00
10
11
00
01
10
10
10
00
11
00
00
10
10
00
00
01
00
10
11
10
10
01
00
11
00
10
10
10
00
11
10
01
10
10
00
10
10
00
01
10
00
11
10
01
11
10
11
00
00
01
00
10
01
00
10
00
00
10
00
00
01
11
11
00
10
10
11
00
00
00
11
10
01
10
11
00
10
10
01
10
10
10
01
10
11
00
10
10
01
10
10
01
00
01
00
00
10
10
00
01
10
10
01
01
10
00
00
10
00
10
10
01
00
11
01
00
10
11
01
11
00
00
10
01
10
11
00
01
10
11
00
10
10
11
11
00
11
10
01
00
11
00
11
10
00
00
10
10
10
00
00
10
10
00
10
10
10
00
11
10
11
00
01
00
10
10
10
00
00
10
11
11
00
10
10
10
00
01
11
00
10
10
01
10
00
00
00
10
10
11
01
10
11
10
11
00
01
11
10
00
10
00
00
11
11
00
01
10
01
01
10
11
11
00
00
11
10
10
11
00
01
01
10
01
10
00
00
10
10
00
01
10
10
10
00
00
00
00
10
10
10
10
10
10
00
00
00
11
10
00
01
10
11
01
10
10
00
01
00
10
10
10
11
00
10
10
01
00
10
00
11
01
01
10
10
10
00
10
00
00
10
00
00
10
00
10
01
00
00
10
10
10
01
10
10
10
10
11
10
00
01
10
01
10
10
00
11
00
10
00
01
10
00
00
10
00
01
00
10
10
00
10
00
10
10
01
01
11
10
11
10
10
00
01
00
10
10
00
11
01
00
00
00
10
00
10
10
10
01
10
10
00
10
11
01
01
00
01
10
10
11
10
00
01
01
10
01
10
11
10
00
00
11
10
00
11
00
00
00
10
10
10
11
10
01
00
00
00
10
10
00
00
10
00
00
00
10
10
00
11
00
10
00
11
10
10
00
00
11
10
00
11
01
01
10
10
11
01
11
10
00
10
10
01
00
00
10
11
10
01
10
00
10
10
00
10
00
10
00
00
01
10
00
00
10
10
11
11
10
00
00
10
10
10
01
10
11
10
11
00
00
11
11
10
11
01
01
10
10
01
11
11
00
00
01
00
10
10
00
01
00
01
10
00
10
10
00
00
01
01
11
11
01
10
01
10
00
11
10
10
01
10
11
11
00
01
00
10
10
11
10
01
00
10
00
00
00
10
00
11
10
00
00
00
10
10
11
00
10
11
10
00
00
10
00
00
00
01
00
11
00
00
10
00
11
11
11
00
11
10
00
10
00
10
11
00
00
11
00
10
10
10
00
00
10
00
00
00
10
10
00
00
10
00
00
00
00
10
11
00
10
11
10
10
01
00
01
00
11
01
11
10
10
00
01
10
10
10
00
11
00
00
01
10
00
01
00
10
10
00
10
10
00
10
01
00
11
00
01
10
00
00
10
10
00
10
01
00
01
00
00
10
01
10
10
10
00
00
10
01
10
11
01
00
00
11
11
00
10
10
10
10
01
00
10
10
11
01
00
00
10
10
10
00
10
10
11
01
11
00
10
00
00
00
00
10
10
01
00
10
01
01
10
00
11
01
01
00
01
10
01
10
00
11
10
00
00
01
11
00
00
00
01
10
11
10
00
11
00
01
00
11
01
00
10
10
00
00
10
11
00
00
00
00
11
00
11
10
00
01
00
00
01
11
10
11
00
10
01
00
10
00
00
11
01
01
11
11
10
01
10
01
01
10
10
00
10
00
10
10
00
10
01
10
10
01
10
10
11
01
00
00
00
10
10
00
11
00
10
00
00
10
10
01
01
10
11
10
11
10
00
11
00
00
00
00
10
00
11
11
00
11
00
01
10
10
11
10
01
10
00
00
00
10
10
10
00
00
01
01
11
01
00
01
01
11
01
10
11
00
11
00
11
11
00
00
10
00
00
01
10
10
10
00
00
10
00
11
00
01
00
10
10
11
00
11
00
00
11
00
00
10
11
00
10
10
00
00
10
10
00
10
11
11
01
10
00
10
00
11
10
01
00
01
10
00
01
11
10
00
00
00
01
11
00
10
10
10
10
00
00
10
10
10
00
10
10
10
10
00
10
01
00
10
10
00
10
00
00
10
11
11
10
01
00
10
00
10
00
01
01
11
00
01
00
00
10
01
00
10
11
10
00
00
10
00
00
01
01
00
10
10
01
11
11
00
11
11
01
00
01
10
01
11
10
00
11
11
10
00
00
10
01
10
01
11
10
01
00
00
10
01
00
10
01
00
10
10
10
00
01
11
00
10
11
00
00
00
10
00
01
00
11
00
10
10
10
00
00
00
10
10
00
10
01
10
10
11
10
10
00
10
10
01
10
01
01
11
11
00
10
10
00
01
00
00
10
10
10
01
11
11
01
00
00
10
00
01
10
11
11
10
00
11
11
00
10
00
00
01
00
00
01
01
10
01
00
11
01
11
10
10
11
00
11
10
01
00
00
11
01
00
11
01
00
00
00
00
11
00
00
10
10
11
00
11
10
00
11
00
10
10
00
10
00
00
00
10
11
10
11
00
00
10
01
00
11
00
01
00
10
01
10
11
01
10
10
10
01
00
00
01
10
10
00
00
00
00
01
10
00
10
10
10
01
01
10
11
00
10
11
00
01
11
00
00
01
11
00
00
10
01
10
11
00
01
00
01
10
10
01
00
00
10
10
10
11
00
10
00
00
10
10
10
00
10
10
10
00
01
01
11
00
11
10
10
10
00
00
10
00
01
00
10
01
00
11
00
00
10
11
10
11
10
10
00
10
10
01
10
01
11
11
11
01
10
01
11
11
00
01
10
11
00
11
10
01
10
11
11
00
10
11
00
01
00
11
10
00
11
10
11
00
01
00
00
10
01
10
10
00
00
01
00
10
10
10
10
00
10
00
00
10
01
10
11
11
00
00
00
10
00
00
10
00
10
10
01
00
10
00
11
00
01
10
10
00
01
10
00
00
11
10
11
10
10
00
10
10
11
10
01
00
01
10
10
10
00
01
10
10
00
10
00
00
01
11
00
10
10
11
00
11
00
00
11
10
00
01
00
11
01
11
10
11
01
01
10
10
10
11
00
01
00
11
11
00
10
01
01
11
00
01
00
11
11
11
10
11
00
00
11
10
00
00
10
01
00
11
10
01
00
10
01
11
00
00
00
10
01
00
11
00
01
00
10
11
00
00
00
00
10
11
10
01
00
00
00
10
00
00
10
00
00
00
10
10
10
10
10
00
00
00
10
11
00
10
00
11
10
01
10
01
10
00
10
10
00
11
01
11
00
11
10
01
11
10
00
00
11
11
10
00
00
01
11
10
01
00
10
11
01
10
10
00
11
00
10
10
00
11
00
10
00
10
01
10
01
10
11
00
00
10
10
01
01
01
00
00
00
11
11
01
10
10
10
00
11
11
00
00
10
00
00
11
00
10
11
01
00
00
10
00
11
00
01
10
00
11
00
10
10
10
10
10
00
01
11
00
00
10
01
10
00
00
11
10
00
00
11
10
10
00
00
01
11
01
01
01
10
01
10
10
00
00
11
11
11
00
11
00
10
00
00
11
10
01
01
01
10
10
01
00
10
10
00
01
01
10
10
10
01
00
01
00
10
01
00
10
01
10
10
01
00
11
11
10
10
10
11
01
01
01
00
11
11
00
00
11
10
01
11
10
00
00
11
01
01
10
10
11
01
01
00
10
00
10
11
00
00
10
10
00
10
10
10
01
00
01
00
00
11
10
00
10
10
00
00
11
00
10
11
10
11
11
01
00
11
11
10
01
00
00
00
11
11
00
00
10
10
10
10
00
01
10
11
10
01
11
10
10
00
00
10
10
00
00
10
10
11
00
10
00
11
10
00
00
10
10
00
00
10
10
00
11
10
10
00
10
01
00
10
10
01
10
11
11
11
00
10
10
01
00
11
11
00
10
10
00
11
10
00
01
11
11
01
01
10
10
00
00
00
10
10
10
01
01
00
00
10
01
10
11
10
00
01
00
01
10
01
00
00
10
10
01
01
01
00
00
01
01
00
10
11
00
00
00
10
10
10
10
00
00
00
00
00
01
01
00
10
10
10
00
10
11
00
00
00
00
00
10
00
00
10
10
00
01
00
10
00
01
10
11
00
00
00
11
00
00
00
11
10
11
10
00
10
00
00
00
10
10
10
11
00
01
00
00
10
00
11
01
00
00
10
00
11
00
10
00
10
00
10
11
00
10
00
10
11
10
10
00
01
00
00
10
11
11
01
01
10
10
00
01
00
00
00
11
01
10
11
00
00
10
11
00
00
01
11
00
11
10
10
10
10
10
00
01
10
01
10
10
10
11
01
10
11
01
01
10
00
10
11
00
00
11
10
00
01
10
00
10
11
01
10
10
10
11
00
11
00
00
10
10
10
00
10
10
00
00
11
10
10
00
10
10
00
10
00
01
10
00
11
00
01
10
00
00
01
00
00
10
01
00
00
10
11
10
00
10
00
10
11
10
11
00
01
00
10
00
10
00
00
10
11
11
01
00
00
00
10
11
01
11
11
11
10
00
00
10
10
11
00
00
10
00
01
10
00
01
00
10
11
00
00
11
10
10
10
00
10
10
00
11
10
01
10
11
10
10
00
00
11
01
00
10
10
10
01
00
10
11
00
10
00
00
10
10
01
10
10
00
00
10
10
00
10
01
10
01
10
01
00
10
10
10
11
10
10
00
00
01
11
00
00
00
01
00
11
01
10
11
00
00
01
00
10
10
01
00
00
00
10
00
00
10
11
11
11
10
00
00
10
10
00
00
00
00
00
10
10
10
10
11
11
01
10
10
00
00
00
00
10
10
00
11
00
00
10
01
11
10
11
00
00
00
01
11
10
11
01
00
01
01
00
00
11
01
01
10
10
10
01
11
10
00
00
10
00
00
01
11
00
00
00
01
10
00
11
00
00
10
01
10
11
01
11
11
10
10
10
01
00
01
10
11
11
10
00
10
11
11
00
00
00
10
00
00
01
10
11
00
00
00
00
10
10
01
01
10
11
00
10
11
11
00
10
11
00
00
11
11
00
11
10
10
11
10
00
00
10
11
10
00
00
01
00
10
00
11
10
11
10
00
10
11
00
01
00
11
10
00
00
11
01
00
11
10
10
00
10
00
00
11
10
10
01
00
10
00
10
00
10
10
00
01
10
10
00
10
00
01
01
10
10
10
01
11
10
10
00
01
10
11
11
00
01
10
00
10
10
00
10
10
00
00
10
11
00
01
11
10
00
01
00
00
11
01
00
11
00
10
01
00
10
00
01
11
11
10
00
11
10
10
11
11
01
11
10
00
10
11
00
00
11
10
01
10
10
10
10
10
00
10
10
00
10
01
01
10
00
01
10
00
00
01
10
10
10
10
10
10
00
00
10
00
10
10
10
11
11
10
00
01
10
00
11
10
10
00
00
00
00
10
10
01
00
00
10
11
00
10
00
01
01
00
00
10
10
01
00
10
10
11
00
00
11
01
11
11
01
00
01
00
00
10
10
01
00
00
10
00
01
00
10
10
00
10
10
11
01
01
11
00
00
11
01
10
11
01
00
10
10
00
00
10
00
10
11
00
00
10
11
10
11
01
00
01
10
00
00
10
10
01
11
10
01
10
10
00
11
10
00
11
00
11
11
00
10
11
11
00
00
11
00
01
10
11
00
00
00
00
10
10
10
01
11
10
10
00
10
11
10
01
00
10
11
00
10
10
10
11
10
00
10
00
01
00
00
10
10
10
10
00
10
00
00
11
00
00
01
10
00
10
10
00
01
00
10
10
00
10
10
11
00
01
00
00
01
11
11
10
00
01
10
00
11
01
00
10
10
01
11
01
01
10
00
00
00
10
10
00
10
11
10
01
11
11
10
11
00
00
11
10
00
00
10
10
10
10
11
00
01
11
00
11
10
01
01
10
00
00
10
11
10
00
01
10
01
00
10
10
01
00
01
01
10
01
00
01
01
00
10
11
10
01
00
10
01
01
10
00
01
10
10
10
00
11
10
01
00
10
11
00
00
00
10
10
01
10
10
00
10
10
10
00
10
01
00
00
01
00
10
00
01
11
10
00
11
11
01
01
00
00
00
00
10
10
00
10
10
11
00
00
11
10
00
10
10
00
00
01
10
10
10
11
00
00
00
10
11
11
10
00
00
11
10
10
00
00
10
11
10
01
10
10
10
00
00
00
00
10
01
10
00
00
11
10
11
00
01
00
10
11
00
10
10
00
11
10
01
10
00
00
11
01
10
10
10
01
10
11
00
10
00
00
10
10
11
00
00
10
11
00
01
11
00
11
10
00
10
11
01
01
01
11
00
10
00
00
10
11
00
10
01
00
11
01
00
10
11
00
01
00
01
10
10
00
00
11
00
10
10
10
01
10
00
00
10
11
00
10
00
00
10
00
10
10
00
01
11
00
01
00
01
10
10
00
01
11
10
10
00
10
01
00
10
10
01
10
00
00
00
10
10
00
00
00
10
10
00
00
10
00
00
11
10
10
00
00
11
10
01
00
11
11
00
10
10
00
01
10
11
10
00
00
11
00
10
00
00
00
10
10
00
11
11
01
10
10
01
11
10
11
00
00
11
00
10
10
00
00
10
00
00
00
11
00
00
11
11
11
10
00
10
01
11
10
01
00
00
00
00
00
00
01
10
01
10
10
00
00
00
10
10
01
00
00
10
00
01
11
00
00
00
01
00
10
10
10
00
10
10
10
00
10
00
11
01
01
00
01
11
10
00
10
10
01
01
01
10
00
01
00
11
11
10
00
01
11
11
01
00
10
10
10
00
00
00
00
10
00
00
10
10
01
10
11
00
00
01
01
00
01
01
10
10
10
11
00
00
10
10
00
01
00
00
10
00
11
11
10
00
00
10
11
10
10
00
00
10
11
11
10
01
11
11
01
01
10
01
10
11
01
00
11
11
00
11
10
00
10
11
00
01
00
00
10
10
01
10
10
00
10
10
00
00
11
11
00
11
10
11
10
11
00
00
00
11
10
01
00
11
00
00
01
01
01
10
10
00
01
00
11
10
00
00
00
01
10
10
01
01
10
10
11
01
10
11
10
00
00
11
00
01
11
10
10
10
01
10
11
00
11
00
10
10
00
10
11
11
00
11
10
01
00
00
00
10
00
00
10
00
10
10
10
00
10
00
00
00
00
10
00
00
11
10
10
00
01
00
00
00
00
11
01
11
10
11
00
10
11
10
00
01
00
10
11
00
00
10
10
10
01
10
01
10
10
00
00
10
00
00
11
10
11
10
01
01
11
01
00
10
00
01
11
00
00
11
10
01
11
10
00
00
10
11
11
10
10
01
00
00
00
10
11
11
10
00
10
10
00
01
00
10
10
11
11
00
01
11
11
01
00
11
10
00
01
00
00
10
10
10
00
01
01
00
00
00
10
10
10
01
10
00
11
01
00
10
11
10
00
00
10
10
00
10
00
00
00
10
10
01
10
00
00
10
00
01
01
10
10
10
11
10
00
00
10
01
01
10
10
01
00
00
11
10
10
00
10
10
10
10
00
00
00
10
10
11
10
01
10
11
11
01
10
01
11
10
10
10
00
01
01
10
11
01
00
01
10
10
00
00
10
00
00
11
00
10
01
00
10
11
10
01
11
00
00
11
11
10
01
11
00
11
10
00
01
01
10
00
10
10
11
01
01
00
10
11
01
00
10
11
00
01
11
01
00
00
10
10
01
00
10
10
10
00
00
10
00
00
10
00
10
00
10
01
01
00
10
01
10
10
10
10
00
01
11
11
10
01
00
01
10
00
11
10
01
00
00
00
01
00
01
01
11
01
01
11
11
00
10
11
00
00
11
00
00
11
00
01
11
10
00
00
01
00
10
10
01
10
01
01
10
10
01
10
11
10
00
10
01
11
10
10
00
10
11
10
10
01
00
11
11
10
01
10
11
01
00
10
10
10
01
01
11
00
11
00
10
01
10
10
00
10
01
00
10
00
00
10
00
00
00
01
00
10
11
10
00
10
10
10
10
01
00
10
10
00
10
10
10
10
00
10
00
01
10
01
10
10
10
10
01
00
10
10
01
10
01
01
11
01
10
00
00
01
01
10
10
00
11
00
00
10
01
00
00
10
10
00
01
10
11
01
10
01
00
01
00
11
00
00
10
10
10
00
00
10
10
10
11
00
00
00
00
01
01
10
11
00
11
10
10
10
01
10
10
01
11
00
10
10
00
00
01
10
10
00
00
01
00
00
11
01
00
11
00
11
01
10
10
10
00
10
11
00
11
01
00
11
00
00
10
00
00
00
10
00
01
00
01
01
00
01
00
01
10
01
01
10
11
00
00
10
00
00
10
10
00
01
10
10
00
00
00
01
00
00
00
11
10
10
11
00
10
11
01
10
01
11
00
11
11
00
01
11
10
11
00
00
10
10
00
10
10
00
01
10
01
00
01
01
01
11
00
01
01
01
10
00
01
00
10
10
11
00
01
10
10
10
11
00
11
00
01
00
10
00
01
00
10
10
00
00
11
00
10
00
11
10
01
00
11
10
00
10
11
00
00
00
10
10
00
11
11
01
01
10
10
10
11
01
10
10
00
01
00
10
01
11
10
00
10
11
00
01
11
00
10
10
11
00
10
11
00
10
10
11
00
11
11
00
00
01
11
10
10
01
00
01
00
01
10
00
01
11
00
00
01
01
11
10
10
00
11
00
11
11
01
00
00
11
01
01
10
01
00
10
10
00
01
01
10
10
10
10
11
10
00
00
10
11
01
11
10
10
00
00
00
01
00
11
10
10
00
10
10
00
10
10
00
00
11
11
01
11
10
10
00
00
10
11
01
01
00
00
01
10
01
00
10
10
10
10
11
00
00
11
00
01
10
10
10
10
00
00
10
11
01
10
00
11
10
11
10
10
10
10
00
00
00
10
01
01
00
10
00
00
01
01
10
00
00
11
00
11
10
01
10
01
00
10
01
00
01
00
00
10
10
11
10
10
01
00
00
00
00
10
10
10
00
11
10
00
00
01
01
10
01
00
10
00
00
11
10
11
00
10
01
10
10
11
10
00
01
11
10
10
00
10
00
00
00
11
00
00
10
10
01
11
00
00
00
00
11
10
01
10
10
11
00
01
00
00
00
01
10
11
00
00
10
11
00
00
10
10
00
01
00
10
10
11
11
00
00
10
10
01
00
00
00
11
10
11
10
10
01
00
11
01
10
11
00
00
00
10
01
00
00
10
10
11
00
11
10
00
10
11
00
11
10
01
11
00
01
00
11
10
11
00
00
00
10
10
00
00
10
10
10
11
00
01
10
00
10
10
10
00
00
10
11
11
01
01
00
01
00
10
10
01
00
10
11
00
01
01
01
11
10
00
00
00
00
00
10
10
11
00
00
11
11
10
00
10
10
10
00
10
11
01
01
10
01
00
01
00
11
01
00
00
11
10
10
10
00
10
01
11
10
00
00
10
11
00
10
10
10
00
01
10
10
00
01
10
01
00
10
00
00
10
01
00
10
10
00
00
10
00
01
11
01
10
11
10
00
10
10
10
00
00
10
10
11
00
00
01
01
00
01
00
00
01
10
00
10
01
00
01
01
11
00
01
01
11
10
00
11
01
10
10
10
01
10
10
11
00
01
01
01
10
01
00
00
11
00
00
10
00
10
01
00
10
10
00
10
00
00
10
10
01
10
01
10
00
10
11
00
10
01
01
11
10
10
00
00
10
10
10
00
01
10
11
10
00
00
00
01
10
11
01
10
10
11
10
10
01
00
10
10
00
10
10
00
00
01
10
10
00
11
00
01
10
10
01
11
10
00
10
01
01
01
01
10
00
00
11
01
00
10
10
00
01
00
11
10
11
01
10
00
11
01
10
00
00
10
11
00
01
00
10
10
10
00
00
10
11
10
00
10
00
10
10
00
01
01
01
01
10
10
10
00
11
10
00
00
10
11
10
11
01
11
10
10
10
01
00
11
00
01
01
11
00
00
00
10
00
00
10
10
00
10
11
10
00
00
00
01
00
11
10
01
00
01
00
10
00
10
10
00
00
10
10
10
10
10
01
00
01
00
01
00
01
01
10
01
01
10
01
00
10
00
00
10
10
10
01
00
01
10
10
00
00
10
10
01
00
10
01
00
01
10
11
01
11
11
01
11
00
00
11
10
11
00
00
00
00
00
10
11
00
01
11
01
10
00
00
10
00
11
10
01
01
00
00
00
01
10
00
00
10
00
01
11
00
10
01
10
10
00
00
10
10
10
11
01
00
01
00
01
00
10
10
00
01
10
10
00
01
00
00
00
10
10
10
00
00
00
10
10
01
10
11
10
11
11
10
00
01
11
11
10
00
11
11
10
01
10
10
11
00
00
11
00
01
00
10
10
10
10
10
10
11
11
01
01
00
00
00
00
10
10
00
00
11
10
11
10
01
10
00
01
01
01
10
10
11
10
11
01
01
00
10
11
00
00
11
10
10
10
11
00
11
11
01
00
01
01
11
00
00
00
10
10
01
11
10
01
01
11
00
10
00
10
11
00
10
11
00
00
01
10
00
11
10
11
01
10
00
00
10
01
00
10
10
00
10
00
01
00
01
10
11
10
10
00
00
00
10
01
00
01
10
10
00
10
11
01
11
00
10
00
00
00
11
11
00
00
00
00
01
11
00
00
10
10
10
00
00
10
10
11
10
00
11
00
00
01
00
10
00
00
01
01
00
00
00
10
00
00
11
10
11
00
10
10
10
10
01
00
11
11
00
10
10
10
00
01
11
01
00
01
01
01
00
10
10
10
00
00
10
00
00
01
10
11
00
00
10
00
00
10
00
00
10
10
00
01
10
10
00
11
11
11
00
10
11
01
11
10
00
00
10
00
11
11
10
11
00
01
10
01
01
10
11
00
01
11
11
00
11
10
01
01
10
00
00
00
01
10
10
00
00
01
00
10
10
11
11
10
10
01
10
10
01
00
11
00
00
10
10
11
01
11
11
11
10
00
10
00
01
00
10
10
10
01
10
00
00
00
11
00
00
00
01
10
11
00
00
11
11
10
11
11
00
11
10
11
01
10
00
00
01
10
11
10
00
00
00
10
10
00
00
01
10
01
10
00
00
10
00
00
10
00
11
10
00
10
00
00
00
10
00
10
10
10
00
00
00
00
11
11
01
01
00
11
10
00
11
10
10
10
00
01
10
00
01
10
01
01
00
10
11
00
01
00
10
10
00
10
11
01
01
00
10
10
01
01
00
00
10
11
10
00
00
11
10
00
10
01
00
00
10
00
11
10
00
10
11
01
00
00
10
00
00
11
01
00
10
11
10
10
00
10
00
00
10
10
00
00
00
11
11
01
00
01
10
01
10
10
01
01
00
00
11
10
00
00
10
00
10
00
01
00
00
10
01
01
10
01
10
11
00
00
10
00
00
01
10
11
00
10
00
00
00
00
11
11
00
10
01
00
00
01
00
10
10
10
00
10
11
10
01
11
11
01
00
10
10
10
01
00
00
10
10
01
10
10
10
00
00
10
01
01
10
11
00
10
00
10
00
00
10
10
10
00
01
00
01
10
00
00
00
01
11
11
01
10
11
00
10
10
00
00
01
10
00
11
10
01
10
10
10
10
10
11
01
01
10
11
10
00
11
11
10
01
00
10
10
00
10
10
10
01
01
10
00
11
11
10
00
01
10
10
00
01
10
10
01
10
01
00
00
11
01
11
10
10
01
10
00
00
10
10
11
00
01
00
00
00
01
00
00
00
01
11
10
10
11
11
00
00
10
01
00
10
11
10
00
01
01
01
11
00
01
11
11
00
00
10
00
00
10
10
00
11
00
01
00
01
10
10
00
11
10
00
11
00
10
10
11
00
11
00
00
10
11
10
11
00
00
10
01
10
11
00
01
00
10
00
10
00
00
00
11
11
01
10
00
00
00
10
10
10
00
10
01
00
10
01
10
10
00
00
00
10
10
10
00
10
10
10
01
11
10
01
01
00
00
11
01
00
11
11
10
00
11
00
00
11
11
11
00
01
00
00
10
10
00
00
00
11
10
00
10
11
01
10
10
11
11
01
00
10
10
10
01
00
00
11
10
00
10
00
11
11
01
01
00
01
00
11
00
01
10
11
00
01
10
00
10
10
11
00
10
10
00
00
00
10
00
11
00
01
10
01
00
10
01
00
00
10
11
00
01
00
10
00
10
10
00
11
10
00
01
00
10
10
11
01
11
11
01
10
10
01
10
00
00
11
10
10
11
10
01
10
01
00
10
11
11
10
00
01
10
01
10
11
00
01
10
11
10
00
01
10
10
00
10
11
00
11
10
00
00
01
10
01
01
10
11
11
10
10
10
00
11
10
00
00
00
00
00
10
11
00
00
10
11
10
00
00
11
00
01
00
10
10
10
11
00
00
10
00
00
10
10
00
11
00
11
00
11
10
10
11
00
10
11
00
00
10
10
00
10
10
00
00
10
01
11
00
01
10
11
00
00
00
00
00
10
01
10
10
00
00
00
11
10
10
10
10
00
10
01
00
00
00
11
01
10
00
11
01
10
10
00
10
10
01
00
10
00
00
10
10
01
00
00
00
11
10
00
00
11
10
10
10
00
11
10
11
01
00
01
01
10
10
00
10
10
01
00
00
00
11
00
10
01
00
11
10
00
00
01
00
11
01
10
01
00
00
01
10
10
11
10
00
00
10
00
11
10
11
00
00
01
00
11
00
00
10
11
00
00
11
10
01
10
01
00
00
10
11
01
01
10
10
00
00
11
10
00
01
10
11
01
11
10
11
11
11
10
11
00
01
00
10
00
01
11
11
11
10
11
00
00
00
10
10
11
10
01
00
01
10
10
10
00
00
10
00
11
00
01
10
10
01
00
11
10
00
01
10
00
10
00
01
00
01
10
11
11
11
10
00
00
10
00
00
01
01
01
00
11
00
00
01
10
10
00
10
11
10
00
00
00
11
00
10
10
11
10
01
00
11
00
00
11
10
01
10
10
00
01
10
10
01
11
00
01
11
01
00
10
01
10
10
10
11
01
00
01
01
10
11
10
11
00
10
01
00
10
10
11
00
11
11
10
10
10
10
10
10
00
00
11
11
01
10
10
00
00
10
11
11
00
00
00
10
00
01
01
10
01
10
10
10
01
10
01
00
00
01
10
11
10
00
00
10
01
10
11
00
11
01
11
00
00
10
10
00
00
01
10
01
00
01
00
11
00
11
10
10
00
00
11
10
01
11
00
00
00
00
10
00
10
11
00
11
00
11
01
01
10
11
00
01
10
10
00
01
10
00
11
10
00
00
11
00
10
01
10
00
11
00
10
00
01
11
10
00
00
10
10
10
01
00
01
10
01
00
10
00
10
11
10
10
10
10
10
11
01
00
01
01
00
01
10
11
00
11
10
10
00
01
11
00
00
11
00
11
00
11
10
10
01
10
11
00
00
01
00
11
10
10
00
10
10
01
00
11
00
10
11
11
00
10
10
00
01
00
00
10
11
00
00
00
01
10
10
00
11
00
00
00
11
00
01
00
11
11
00
11
00
00
10
11
00
00
10
10
01
11
11
00
00
10
00
11
11
10
01
00
10
11
00
00
11
10
01
10
10
10
00
11
00
01
11
01
00
10
01
10
10
01
10
00
10
10
10
01
00
10
10
01
00
00
10
10
10
01
00
00
10
10
00
00
01
11
11
00
10
10
00
00
10
01
00
00
10
10
00
10
10
01
10
01
00
10
10
11
01
11
10
00
00
10
11
01
00
01
10
11
00
10
10
01
01
11
00
11
00
00
11
10
01
10
10
00
10
00
10
00
00
11
10
11
00
00
01
11
01
01
00
11
00
01
10
10
01
01
01
10
01
10
10
00
01
10
10
00
00
01
00
01
10
10
10
10
10
10
10
00
00
11
00
10
10
00
00
10
01
00
00
11
00
11
10
00
10
10
10
10
00
00
10
01
10
10
00
10
10
00
10
01
11
00
10
01
00
10
01
10
10
00
00
11
01
11
10
01
10
11
00
10
00
00
00
11
01
00
10
10
11
01
10
10
00
10
10
00
10
00
10
01
00
00
10
01
00
11
00
00
00
00
10
10
10
00
00
01
01
10
10
10
01
00
00
10
10
00
10
10
10
10
00
00
11
00
10
10
01
00
00
10
10
10
11
10
01
11
00
10
10
11
00
11
10
01
00
10
10
10
00
00
10
10
10
10
01
01
01
00
10
01
00
11
11
11
10
00
00
01
00
00
00
11
00
10
11
01
10
10
00
10
11
01
01
11
10
00
00
10
00
00
11
11
10
01
00
11
10
01
01
10
10
00
11
10
00
10
10
10
10
10
00
11
00
00
10
01
11
01
00
10
10
10
10
11
01
00
10
10
10
00
01
10
11
01
11
01
00
11
10
00
01
10
10
00
10
00
00
00
10
11
01
01
10
10
00
10
11
00
11
10
00
11
00
00
10
11
01
11
10
00
00
00
00
10
00
01
01
00
11
10
10
10
10
01
00
01
10
01
00
01
10
10
10
00
00
11
10
01
10
00
00
11
00
01
10
00
10
10
10
10
01
00
11
01
01
10
00
00
10
10
10
01
01
11
10
01
00
00
10
00
00
10
00
10
10
00
00
11
00
01
11
00
10
10
01
10
11
01
11
01
00
10
10
10
00
10
10
00
00
10
10
00
00
11
10
10
00
10
10
00
01
00
11
00
00
00
11
10
01
10
01
01
10
10
00
01
11
01
01
11
10
10
01
00
01
10
01
10
10
11
01
00
10
11
00
00
00
10
11
00
10
00
00
11
01
00
00
00
10
10
10
01
11
00
00
00
10
00
10
11
00
01
10
00
00
01
00
10
10
10
00
10
10
01
10
10
11
10
10
10
00
01
11
01
10
11
11
01
10
10
00
00
00
11
10
10
10
01
00
01
00
00
10
10
10
01
10
11
10
10
00
11
11
00
11
00
11
00
10
00
00
11
11
10
11
10
00
00
01
10
00
10
00
00
10
10
10
01
00
11
10
01
00
00
11
10
00
00
00
10
10
00
00
11
00
01
10
00
10
01
10
11
01
00
01
01
10
10
11
00
01
10
01
10
00
00
11
00
10
10
00
11
10
10
10
01
10
10
01
10
10
00
01
11
10
10
01
11
00
10
11
01
10
00
00
10
00
00
10
11
00
11
10
00
01
00
01
11
10
10
11
00
01
10
11
00
01
10
11
10
00
00
10
01
00
11
10
10
00
10
11
00
10
00
00
10
00
10
11
10
11
10
00
00
10
01
01
11
01
00
10
11
01
00
00
10
10
10
01
10
10
00
00
10
10
00
00
11
01
10
10
00
01
10
01
00
00
10
11
00
11
00
00
00
10
00
01
10
01
10
11
00
10
01
01
10
10
00
11
11
00
11
10
01
10
11
01
10
01
11
01
00
01
10
10
01
10
01
10
11
10
00
01
11
00
00
01
10
01
11
10
01
10
00
10
00
00
10
01
01
01
00
00
10
10
00
11
01
01
00
00
00
00
10
11
00
01
00
10
01
01
00
11
10
01
11
00
10
00
00
10
11
11
00
01
11
10
11
01
11
11
00
00
10
01
00
11
00
10
00
10
00
10
11
00
10
11
00
10
00
10
11
01
10
01
10
00
00
10
00
10
10
01
10
11
10
00
00
10
10
00
00
11
00
00
10
10
10
01
00
00
11
00
11
00
10
00
10
01
00
10
10
10
01
00
00
10
11
00
01
00
11
00
01
11
00
11
00
01
01
01
10
00
01
00
01
10
00
00
10
10
00
00
10
11
11
01
10
01
00
11
01
01
11
10
00
00
00
10
01
00
10
00
10
11
01
10
10
10
10
11
00
10
00
00
11
10
01
10
00
11
10
10
10
00
00
00
00
00
11
10
10
00
10
01
00
11
11
01
10
11
01
11
11
10
10
00
00
10
01
00
10
00
01
10
01
10
10
11
00
11
01
01
10
11
00
00
00
01
10
11
00
10
10
00
01
10
01
10
10
00
00
00
01
10
11
11
10
11
10
10
00
11
10
10
01
00
11
10
10
10
00
00
00
01
10
11
00
10
00
01
10
10
00
00
00
11
01
10
10
01
10
01
00
00
01
10
01
01
00
10
10
00
01
11
10
01
00
00
10
01
10
11
00
00
10
10
00
11
11
00
10
10
00
10
10
01
01
00
10
10
00
10
10
01
01
10
10
10
00
10
01
00
10
10
11
00
00
11
00
01
00
00
10
10
01
01
11
10
10
01
10
10
00
00
01
10
00
00
01
00
11
10
10
00
01
10
01
10
10
10
00
00
00
10
00
10
10
01
00
10
11
00
10
10
11
01
11
10
10
11
00
10
01
00
01
10
11
10
11
00
00
10
10
00
11
11
11
10
10
00
10
11
00
01
00
10
10
10
10
10
10
00
01
10
10
11
01
10
00
00
11
10
00
10
11
11
00
00
00
00
11
11
11
10
10
10
10
10
01
10
01
01
10
11
11
10
10
10
01
01
00
01
10
00
10
00
01
10
11
10
00
10
10
00
00
11
10
00
00
00
10
00
10
00
11
10
00
10
10
10
01
00
01
01
10
00
00
01
11
00
00
00
10
10
00
10
01
10
10
00
00
11
11
10
10
10
00
01
11
00
01
00
10
10
10
11
10
01
00
00
11
11
00
00
00
00
10
10
01
00
11
10
00
10
10
11
10
01
00
00
00
00
11
00
01
11
10
00
11
11
01
10
01
00
10
00
00
00
11
00
10
00
01
01
10
10
00
10
10
10
01
10
10
01
10
10
01
01
01
10
11
01
10
00
00
00
10
10
01
10
00
10
10
01
00
00
10
11
00
10
10
10
01
00
10
11
10
11
01
11
00
00
10
10
01
00
11
00
11
00
10
10
11
11
01
10
10
00
10
00
10
00
01
10
10
10
10
11
10
00
00
01
00
01
00
01
10
11
01
01
00
10
10
11
01
00
00
10
10
10
11
00
00
10
10
01
10
01
10
10
10
01
10
00
00
11
11
10
10
10
01
00
01
00
11
10
01
01
11
00
00
11
11
00
00
10
10
01
01
11
10
00
11
01
01
00
10
01
01
10
01
01
10
10
00
10
01
10
11
00
00
01
11
00
01
00
10
00
10
00
10
01
00
10
00
10
00
11
10
11
00
10
10
11
00
11
10
00
11
10
10
10
10
00
11
10
00
01
11
10
00
01
01
01
00
10
10
11
10
00
00
00
10
01
10
10
10
00
10
10
10
01
10
10
00
00
01
10
00
11
00
00
11
10
11
11
01
01
00
10
10
00
00
10
10
01
10
10
00
00
00
11
01
10
10
00
00
10
00
00
00
10
00
00
00
10
10
01
11
01
10
10
10
00
10
01
00
00
01
00
01
00
00
11
01
00
11
00
11
10
00
01
11
00
11
00
01
01
10
11
01
00
10
00
10
00
00
10
01
00
00
10
11
10
10
00
00
00
11
00
01
00
10
00
11
10
10
10
01
01
00
01
10
10
10
10
11
11
01
00
10
00
10
10
00
01
00
00
01
10
11
00
11
10
00
00
10
10
01
10
01
11
10
00
10
11
10
10
01
10
00
01
10
10
10
01
11
10
11
01
01
10
11
01
00
00
00
10
00
00
10
00
11
00
11
10
01
01
00
10
10
00
00
11
11
10
00
11
10
00
00
10
01
01
10
10
11
01
10
01
10
01
01
10
11
10
01
00
00
11
10
11
00
10
00
01
11
10
10
00
10
10
01
01
10
00
00
10
00
10
11
01
01
11
00
01
00
00
00
10
00
01
11
11
00
11
01
01
00
10
10
10
10
00
00
10
10
01
11
00
11
00
00
00
00
10
11
11
00
10
00
00
01
10
10
00
01
01
10
10
01
10
00
00
10
00
10
01
00
11
00
00
00
10
00
00
01
10
00
00
10
11
10
10
10
00
00
11
01
00
10
00
00
10
11
00
11
10
10
11
10
01
00
10
10
01
00
10
10
00
10
10
00
10
00
10
00
00
00
10
11
01
00
10
00
01
11
10
10
01
10
10
01
01
10
11
00
10
10
10
10
10
11
01
01
11
11
10
00
10
10
10
00
01
10
00
01
00
11
00
10
10
01
00
01
01
00
00
11
00
11
10
00
01
00
00
10
01
00
00
10
10
01
01
11
00
00
10
01
00
11
00
00
00
11
00
10
00
00
01
00
01
01
10
11
00
10
01
00
10
01
00
11
10
10
00
10
11
11
01
00
10
11
00
00
01
00
01
10
11
11
00
11
10
00
01
00
10
10
00
00
00
11
00
00
10
01
10
10
10
00
10
11
11
00
10
00
00
11
01
10
10
11
10
11
01
10
01
11
00
00
11
11
00
10
11
01
00
10
00
10
10
00
01
10
10
10
10
00
11
00
11
00
00
01
00
10
01
00
10
10
00
01
00
00
00
11
10
00
10
10
11
00
00
10
10
00
00
00
10
00
00
11
10
11
00
11
10
10
10
10
01
01
01
10
01
10
10
01
10
00
00
00
01
11
10
01
10
10
01
00
00
01
00
10
11
10
10
11
01
00
01
10
10
00
10
10
10
10
00
10
00
11
00
01
10
00
10
10
01
00
00
10
10
00
10
11
00
10
10
11
01
01
10
00
01
10
10
10
10
00
10
11
00
10
01
00
11
01
00
10
01
10
00
00
10
00
01
10
01
10
00
11
00
01
01
11
01
11
11
10
00
11
10
00
00
11
10
01
00
10
11
01
00
11
00
00
11
11
11
00
00
10
00
10
00
10
00
10
11
10
01
10
01
10
00
01
10
01
01
01
00
00
10
11
10
00
00
00
01
10
00
11
00
01
10
01
10
01
11
10
00
00
00
00
01
11
01
11
01
00
11
11
01
00
00
10
10
11
00
00
11
10
00
01
10
10
00
10
00
01
10
11
00
00
01
01
00
10
01
00
10
10
01
00
01
10
10
10
11
00
01
01
00
00
10
11
11
00
01
00
01
10
01
00
10
00
10
10
00
01
11
10
00
00
10
01
01
00
10
10
10
10
10
10
00
10
10
01
11
10
10
10
00
01
00
00
10
01
00
11
01
00
01
00
00
00
11
11
00
00
10
11
01
10
00
01
11
00
01
01
01
10
01
01
10
10
00
00
10
11
00
00
10
01
10
00
10
00
11
00
00
01
11
10
00
10
00
10
11
11
00
01
00
00
10
01
00
10
11
00
10
10
00
11
11
01
01
11
01
00
11
10
11
10
01
00
10
11
00
11
11
10
01
01
11
00
01
11
11
00
00
10
11
10
01
00
11
11
11
10
11
10
11
11
01
01
01
00
11
00
10
10
01
10
10
10
00
00
01
10
10
01
10
00
01
10
10
11
11
00
01
10
11
10
01
01
11
01
00
00
10
00
00
01
11
00
10
10
01
10
10
00
10
01
01
00
00
00
00
10
00
10
11
01
10
10
11
10
00
10
01
01
11
00
00
00
01
00
10
11
01
10
00
00
10
01
00
01
11
00
00
10
00
00
00
10
10
01
10
01
10
10
00
10
01
10
00
00
10
00
10
01
00
11
10
00
00
11
10
00
00
01
00
11
10
01
10
01
01
11
00
01
11
10
01
01
11
11
01
11
11
00
01
00
11
11
01
01
10
10
00
10
10
10
00
01
10
10
11
00
11
00
11
10
00
00
10
00
01
10
10
00
00
11
11
11
10
01
01
10
11
00
00
00
00
00
11
01
01
10
00
11
10
01
10
01
00
01
10
00
10
10
10
00
01
10
01
10
10
10
00
10
10
01
00
01
00
11
00
11
01
00
01
10
10
01
00
10
11
11
00
10
00
10
01
01
10
00
01
10
10
10
10
00
10
00
00
10
01
00
00
10
01
00
10
11
00
00
11
00
10
01
10
10
10
01
11
00
10
00
10
00
00
10
11
00
00
10
01
00
10
11
10
00
00
01
10
01
01
10
10
01
00
01
01
10
10
00
00
10
00
00
01
10
00
01
00
01
00
10
00
01
10
10
00
00
00
00
10
10
10
00
00
00
11
10
00
10
00
00
01
10
00
00
10
11
10
00
10
00
10
01
11
01
00
11
00
11
10
00
10
00
00
10
10
00
11
00
11
10
11
01
01
00
11
10
00
10
10
00
01
10
10
00
00
11
01
00
00
11
10
11
10
10
00
01
11
10
10
00
10
11
00
11
10
00
00
10
00
10
10
00
00
00
10
11
00
01
10
01
10
00
10
11
10
10
01
00
10
00
11
11
10
00
00
00
10
10
10
11
01
00
00
00
11
10
00
11
00
11
11
00
11
01
11
10
11
00
01
10
11
01
00
10
11
11
10
01
00
10
10
00
11
01
01
10
10
01
00
11
10
11
00
01
11
01
00
11
10
00
10
00
00
11
00
10
10
00
10
00
01
11
01
00
00
11
00
10
00
01
11
00
00
11
10
10
01
00
01
10
00
00
11
01
10
10
01
10
11
10
01
10
11
01
00
11
10
00
00
10
00
00
11
11
10
01
10
10
10
10
00
11
11
00
11
00
10
10
00
10
11
01
01
10
10
00
10
01
10
00
00
11
10
11
00
10
11
01
00
01
00
01
10
11
00
10
10
10
00
01
11
11
00
00
10
01
00
00
01
01
10
10
00
10
10
00
00
11
00
00
10
11
10
11
11
00
10
00
00
11
10
11
00
00
10
01
01
10
10
00
01
01
11
10
10
11
00
10
01
01
10
10
11
10
10
00
01
00
10
10
00
00
01
10
10
11
11
00
00
10
00
10
00
01
00
01
00
10
00
00
00
10
10
10
10
11
10
10
00
00
11
10
01
00
00
01
00
11
10
10
01
10
00
10
11
00
00
00
10
00
11
01
11
01
00
01
10
10
00
00
10
10
10
01
10
00
01
11
01
00
00
10
00
00
00
00
00
11
11
01
01
01
10
10
00
01
10
01
10
10
10
00
10
10
00
10
00
01
00
11
00
11
10
00
11
10
10
00
11
10
10
11
01
01
11
11
00
11
00
00
11
10
10
00
00
10
11
10
01
10
10
10
01
10
10
10
00
11
10
01
00
00
11
00
10
10
10
00
10
11
11
01
10
00
11
10
11
01
00
01
00
11
00
10
00
01
10
10
10
10
10
00
00
00
01
10
00
11
01
00
00
00
10
10
11
00
10
01
11
01
01
11
00
11
10
10
00
00
11
10
10
10
00
00
10
10
01
10
11
10
10
01
01
00
10
01
00
11
00
01
10
00
00
00
11
11
00
00
10
11
10
00
00
10
00
10
00
00
00
00
10
10
01
00
00
10
10
10
00
11
10
10
10
10
11
11
11
01
01
00
10
10
10
00
00
10
00
00
10
10
10
10
00
10
01
10
10
00
00
01
01
10
10
00
00
01
10
10
00
00
10
11
10
01
11
10
10
10
00
00
10
10
10
00
00
00
01
11
10
01
00
00
00
10
10
10
10
10
10
10
00
00
11
00
00
10
10
00
01
10
10
11
00
11
10
10
00
10
11
00
00
00
00
01
10
00
10
10
10
10
10
01
11
11
01
10
01
01
10
00
00
11
11
10
01
10
00
00
00
10
10
10
00
01
00
10
11
11
10
00
10
00
11
00
10
11
00
10
10
10
00
00
01
00
10
10
10
10
10
01
10
11
01
01
11
11
11
11
11
00
01
10
01
00
10
10
01
00
10
10
00
01
00
00
00
01
10
10
10
01
10
10
11
00
11
11
01
10
00
00
11
10
01
00
11
11
10
10
10
01
01
00
10
01
11
00
10
10
00
00
11
11
10
10
01
10
10
01
10
11
00
00
00
10
10
00
01
10
10
10
00
10
10
01
01
00
00
11
10
00
00
11
00
00
11
00
10
10
11
00
11
00
00
11
10
00
01
10
11
00
00
10
00
10
10
11
00
00
10
10
01
10
11
01
00
11
00
00
10
00
00
10
10
10
10
01
10
10
01
00
00
00
10
10
10
10
11
01
00
10
10
10
00
11
01
00
10
10
01
01
11
01
00
01
11
10
10
00
00
10
10
00
00
10
11
11
10
00
10
01
00
00
11
10
00
01
01
10
00
00
10
00
00
00
11
10
10
01
00
00
10
00
00
00
01
00
00
10
11
10
00
00
10
00
10
10
10
10
00
00
00
00
11
00
00
00
10
10
00
10
00
10
11
11
11
00
10
00
01
10
10
00
01
00
11
01
11
00
00
11
11
10
00
10
10
11
10
10
00
01
11
01
00
11
00
11
00
01
11
10
01
00
11
00
01
11
01
00
10
01
10
10
01
11
10
00
00
10
00
10
11
00
11
00
00
10
01
10
00
10
10
00
00
11
10
00
10
00
10
10
10
10
00
10
01
11
10
00
01
10
01
00
10
01
10
11
10
11
01
00
01
11
01
01
00
00
10
11
00
10
00
00
11
11
00
10
01
11
00
10
10
00
00
11
00
10
01
00
11
10
00
00
00
01
10
11
01
00
01
00
10
00
00
10
11
11
10
01
10
10
11
01
01
10
01
00
01
01
11
10
00
00
10
10
00
10
00
10
10
01
10
10
00
10
10
10
10
01
00
10
01
11
10
11
11
01
10
00
00
10
10
00
10
10
11
10
10
00
10
10
11
00
00
10
11
01
01
11
10
01
00
11
00
10
11
10
01
00
10
00
01
10
10
10
01
01
11
01
00
10
11
10
00
10
10
11
11
00
00
10
00
10
10
00
10
11
10
01
01
01
11
11
01
00
00
01
10
10
00
00
11
10
00
11
00
10
10
10
11
00
00
00
00
01
00
01
10
10
10
01
11
00
00
10
00
10
01
01
00
00
00
00
10
10
10
11
10
01
00
11
10
00
00
10
00
01
11
10
01
01
01
11
01
10
10
00
00
10
10
00
01
01
01
00
00
10
10
11
10
01
00
00
10
11
00
11
10
01
10
10
01
10
10
00
10
11
10
10
11
10
10
10
00
10
10
00
00
10
00
00
01
10
10
10
10
10
11
00
00
01
10
10
11
00
01
11
10
10
00
00
10
10
00
11
10
00
01
01
01
01
00
11
10
10
01
01
10
11
11
00
00
10
00
01
10
11
01
01
11
11
00
01
10
11
00
00
10
11
00
10
10
00
01
00
10
00
01
10
01
00
10
00
10
00
00
00
10
11
10
01
10
00
00
01
01
00
00
10
10
00
00
11
10
11
11
00
00
11
00
11
11
01
00
00
10
11
10
10
10
01
10
10
00
00
01
11
00
11
10
00
01
00
00
11
10
00
00
11
10
10
11
11
10
11
01
00
11
01
00
10
10
00
10
00
00
00
00
00
01
10
10
11
10
00
00
10
10
01
10
01
10
10
10
10
00
01
00
11
11
00
11
11
01
10
10
00
10
10
11
10
01
00
00
10
00
01
00
10
11
10
10
11
00
01
10
11
10
00
01
10
10
00
10
10
00
01
00
11
01
00
00
10
01
00
00
00
01
11
10
01
10
00
00
10
01
01
00
11
00
00
00
10
10
11
10
00
10
11
00
00
00
00
10
10
10
00
00
10
01
00
10
10
00
10
10
00
00
11
00
10
10
01
10
01
00
11
10
10
10
00
00
10
10
10
11
11
10
01
10
10
00
00
10
10
00
00
00
11
11
11
00
00
10
01
00
01
00
11
11
00
10
01
01
11
10
00
11
10
00
01
11
00
10
00
00
11
01
00
00
10
00
01
00
10
11
01
00
10
10
00
11
10
01
01
10
00
00
10
00
10
11
00
00
10
11
00
00
11
00
11
00
00
10
00
00
11
10
00
00
10
01
11
11
01
00
00
11
00
00
11
10
00
00
01
00
00
10
10
00
11
10
00
01
10
10
00
00
10
00
00
00
10
10
10
11
00
10
10
00
00
01
01
11
10
00
00
10
00
11
00
00
00
10
10
00
10
10
10
01
00
11
10
10
11
10
00
00
00
11
11
01
00
10
11
01
01
11
10
10
01
11
11
00
00
01
00
01
11
01
01
10
11
10
10
00
01
10
10
10
10
11
01
01
10
10
01
10
01
10
10
00
01
00
00
00
10
00
11
00
01
11
00
10
01
01
00
10
10
10
01
10
00
00
11
00
00
01
01
10
00
00
11
00
10
10
00
01
01
01
10
00
00
11
01
01
00
11
10
11
11
00
11
10
00
01
01
11
01
00
10
11
01
01
00
10
10
01
00
10
10
00
00
00
10
11
10
11
10
11
10
00
00
01
11
11
01
11
00
00
01
10
11
00
01
11
10
10
11
00
01
00
10
01
10
00
00
10
10
11
01
10
11
10
00
00
11
00
01
00
10
11
10
10
00
11
11
10
00
00
10
00
10
01
00
00
00
00
00
10
10
10
10
00
11
11
00
01
10
10
10
10
10
11
00
00
01
10
10
01
11
10
11
01
10
10
01
00
01
00
01
10
00
00
10
11
00
00
10
00
00
01
01
11
00
00
11
00
01
00
11
11
00
01
01
00
00
11
10
10
10
00
10
11
10
00
00
10
11
00
00
11
10
10
00
10
00
10
00
00
10
01
10
00
00
10
10
10
00
00
00
00
00
11
00
10
11
01
00
10
11
01
00
10
00
10
11
10
01
00
00
01
01
10
11
00
00
00
00
11
10
01
11
01
10
01
00
10
00
00
10
00
01
11
11
00
00
10
10
10
10
00
00
01
00
00
00
10
11
01
00
10
00
10
01
00
01
01
00
10
10
01
10
01
01
01
10
10
10
01
01
11
10
00
00
11
00
00
10
00
00
10
10
11
10
01
01
00
10
10
00
00
01
11
10
01
01
11
10
01
01
10
11
01
10
10
10
00
00
01
10
01
11
00
11
10
01
10
00
01
11
10
00
01
10
11
00
10
00
00
11
10
10
00
00
00
00
10
00
11
10
01
01
10
01
10
01
00
10
00
01
01
00
00
10
01
10
11
10
11
00
01
10
10
10
10
00
00
11
00
10
10
00
11
00
10
11
11
00
10
01
10
11
01
00
10
10
10
01
10
10
00
00
00
10
10
10
11
00
00
10
01
11
11
00
10
10
11
10
01
10
10
10
01
00
00
00
10
00
00
01
10
00
11
10
10
10
01
00
11
11
01
10
10
00
00
00
00
11
10
01
00
00
00
10
10
01
11
10
00
11
11
10
00
01
01
10
10
00
10
01
01
10
10
10
10
10
00
00
10
00
00
00
10
01
10
00
11
10
10
00
00
10
10
10
10
10
01
10
11
01
00
11
01
11
00
11
11
11
11
01
00
10
10
00
10
10
00
00
01
11
10
00
00
01
10
10
10
11
01
00
00
00
10
11
00
00
10
10
10
10
10
10
11
00
00
01
11
01
11
10
11
11
10
01
01
00
01
10
11
00
01
10
00
10
01
00
10
10
00
01
11
00
00
11
10
11
11
11
01
10
01
10
00
00
10
10
10
10
11
11
11
10
10
01
01
10
01
11
10
00
00
10
10
00
00
10
00
10
00
10
00
01
10
01
00
10
10
11
00
11
10
11
10
01
00
11
10
01
11
11
01
00
01
00
11
10
00
00
10
00
00
11
10
01
10
00
10
10
11
10
10
11
10
10
00
00
10
11
11
00
00
10
01
00
00
10
10
01
00
00
10
00
01
11
11
00
11
10
10
10
00
11
10
10
00
11
01
00
01
00
10
10
10
01
10
00
01
00
11
10
00
10
10
00
00
01
10
10
00
00
11
00
11
10
10
10
00
11
10
00
00
11
11
00
01
00
01
10
00
11
00
10
11
00
00
10
11
00
00
00
00
10
00
10
10
01
01
11
00
00
10
10
01
10
10
01
01
10
10
00
01
00
00
10
00
10
00
11
11
10
01
10
01
00
00
10
10
01
10
11
01
10
11
00
10
10
01
00
10
00
00
00
11
00
00
11
11
00
00
10
01
01
00
10
10
00
01
01
00
11
01
10
00
00
10
00
10
10
11
11
00
10
00
01
00
10
00
11
10
00
10
10
10
01
10
01
11
10
01
10
01
11
00
01
10
11
10
11
00
01
10
10
00
00
10
10
00
00
10
11
10
10
11
00
01
10
01
10
11
10
00
10
11
00
00
01
11
00
01
00
10
11
11
01
00
01
10
10
00
10
10
01
11
10
10
00
00
00
00
10
11
00
00
10
10
01
11
00
11
10
00
01
00
01
10
01
00
10
01
01
11
00
00
10
10
10
10
00
01
00
00
10
00
10
10
11
11
10
00
10
10
10
01
00
00
01
00
10
00
10
10
00
11
10
00
11
11
10
01
10
10
01
10
01
10
01
00
01
00
00
11
10
10
01
00
10
11
00
10
00
10
00
10
11
01
00
10
01
01
00
00
00
10
11
10
00
11
11
00
01
10
01
10
01
11
11
10
01
00
11
01
00
11
11
11
00
10
01
01
11
01
10
10
00
01
10
10
00
00
11
00
10
10
10
10
11
01
01
00
00
01
11
00
00
10
11
10
00
01
00
01
11
10
10
11
10
11
00
00
00
11
10
00
10
10
11
01
00
10
00
00
00
00
11
00
00
01
00
00
00
10
10
10
01
01
10
10
00
00
11
10
00
01
10
10
10
10
10
00
00
10
11
00
01
11
11
10
00
00
11
00
00
00
10
01
01
11
10
11
00
00
10
00
01
01
10
10
10
00
01
10
10
00
10
10
10
11
01
10
00
00
00
10
00
00
11
10
01
00
00
00
11
00
00
10
10
01
01
00
00
00
01
00
10
11
10
11
00
11
10
00
00
00
01
11
01
10
00
00
10
10
01
00
01
00
00
10
10
11
11
10
00
01
00
11
00
11
00
01
10
10
10
00
10
10
11
01
00
01
00
01
00
10
00
00
00
01
10
10
00
01
11
01
00
10
00
01
00
10
00
01
00
00
00
10
10
10
01
01
11
01
01
01
10
11
10
00
11
10
10
00
01
00
01
00
01
11
00
00
10
10
01
10
11
01
00
00
00
10
00
10
10
00
00
00
01
10
00
00
10
01
11
10
11
10
00
00
01
10
00
00
01
11
00
11
10
10
10
00
00
00
00
00
11
10
01
10
00
01
01
10
11
10
10
10
11
01
10
01
00
00
00
01
00
11
00
10
01
01
10
11
01
00
00
11
00
11
10
11
11
00
00
00
01
10
10
00
10
00
10
10
00
01
10
00
01
11
11
10
00
00
10
11
00
00
11
10
01
00
00
00
10
11
11
10
01
00
00
10
00
00
01
11
10
10
10
01
10
10
00
10
00
11
10
10
01
01
10
11
01
01
01
11
10
10
00
11
00
01
10
01
00
10
11
00
01
10
00
00
10
10
10
01
10
01
00
10
01
10
11
11
00
00
10
10
10
00
01
10
10
01
01
11
00
00
11
10
00
10
10
00
00
10
10
01
10
10
01
00
10
10
10
10
11
11
01
11
01
10
10
10
01
00
00
11
10
00
01
10
00
10
10
10
01
01
10
00
01
00
00
00
10
10
01
10
01
01
11
11
01
00
10
10
00
01
00
10
10
10
01
10
00
10
10
10
00
10
00
00
10
10
00
01
10
01
10
00
11
00
01
10
10
00
00
11
00
00
11
10
11
00
01
00
10
11
00
11
10
00
00
01
00
10
10
00
10
10
10
00
01
11
01
01
11
10
11
11
01
00
11
00
00
10
10
01
00
10
10
10
10
10
00
01
10
01
10
10
00
10
00
01
01
10
00
00
01
00
10
11
00
00
00
10
10
10
00
00
00
10
10
10
00
01
10
10
11
10
01
10
11
00
01
10
00
01
01
10
10
00
01
00
10
00
00
00
10
10
00
10
00
01
10
10
10
00
11
00
11
10
11
00
00
10
00
00
11
10
00
00
10
00
11
10
11
01
11
10
00
10
10
10
00
00
11
10
10
11
00
10
00
10
10
00
00
10
10
11
00
00
10
00
01
10
00
10
10
00
10
10
00
01
00
10
10
01
10
00
10
10
00
11
10
10
11
11
00
11
11
00
00
01
00
11
10
00
00
00
00
10
10
00
11
11
10
01
10
00
10
10
00
00
10
00
01
00
10
10
10
10
01
10
01
00
10
01
01
01
01
11
10
10
01
10
00
00
10
00
11
10
00
00
10
10
11
00
01
10
10
10
10
10
00
00
10
10
00
11
10
00
01
10
01
00
11
01
10
10
01
10
10
01
01
00
01
10
11
00
00
00
00
00
10
01
10
01
10
01
00
10
01
00
10
10
01
01
10
11
00
00
00
00
10
10
10
00
00
00
01
11
01
10
01
10
10
00
01
10
10
00
01
10
11
00
00
11
11
01
11
11
00
00
01
00
10
01
01
10
00
00
10
01
00
00
10
00
00
10
00
10
00
00
00
11
00
10
00
01
00
00
11
10
10
10
10
00
10
10
11
01
00
00
00
11
10
00
11
10
11
00
11
10
10
00
00
00
00
00
10
10
00
10
11
10
00
00
00
10
00
10
00
10
11
10
01
00
01
10
01
00
11
01
00
01
10
10
00
10
11
01
00
11
00
01
00
10
10
00
00
11
00
01
01
10
11
10
00
11
00
00
11
10
00
11
10
00
10
10
10
00
10
10
10
10
10
10
11
00
00
00
11
10
00
01
00
00
10
00
11
10
10
01
10
00
01
10
11
11
11
10
00
00
00
01
11
00
00
01
10
00
11
10
10
10
00
10
01
00
10
10
11
10
10
00
00
01
00
10
11
10
01
01
11
11
10
00
00
10
00
00
10
10
11
10
01
01
01
10
00
11
00
00
10
00
01
10
10
00
01
11
00
11
11
00
01
10
01
00
11
10
10
01
00
10
00
11
11
10
00
00
00
00
10
00
01
01
00
10
10
10
01
01
00
11
00
00
00
10
00
10
11
10
00
01
10
00
10
10
01
10
10
10
11
00
00
10
11
00
11
10
01
01
00
10
10
00
01
00
00
11
10
00
10
00
10
00
11
10
00
11
00
10
01
00
00
00
10
10
10
00
11
00
10
10
00
11
01
10
10
01
00
01
01
10
11
11
10
11
10
00
00
11
01
00
01
01
00
11
10
01
10
00
11
11
00
00
10
10
10
10
00
11
10
01
00
00
00
00
01
00
10
00
00
10
01
11
10
10
00
10
00
00
00
00
10
10
11
11
00
00
00
00
10
10
00
00
00
01
00
11
01
11
11
10
10
01
00
01
01
10
10
10
01
10
00
01
00
01
00
00
00
00
10
10
01
01
00
00
10
00
10
10
00
00
00
01
10
00
10
10
11
00
10
11
00
01
01
11
10
11
11
10
00
01
10
10
10
00
00
00
10
10
11
10
01
10
10
01
10
00
00
10
01
01
11
10
10
00
01
10
00
10
10
00
10
10
00
11
10
10
00
00
00
01
00
11
00
00
10
00
00
01
11
00
10
10
00
01
00
10
10
10
10
00
10
11
11
01
01
01
01
00
10
00
01
10
11
11
00
00
10
00
11
01
00
11
11
10
11
01
11
00
01
00
00
10
11
10
01
10
10
11
00
00
10
00
00
01
10
11
10
01
00
10
10
10
00
00
01
01
11
10
11
00
00
10
00
00
10
00
01
10
00
10
11
01
11
01
00
01
11
00
10
10
01
00
00
10
11
10
00
00
11
10
00
10
01
00
10
01
00
00
00
10
11
11
00
10
01
00
10
10
00
01
10
10
00
10
10
10
10
10
11
10
00
01
00
01
10
10
01
01
10
00
01
10
11
10
00
10
10
10
00
01
10
11
00
11
11
11
10
01
10
00
00
01
00
10
00
11
10
00
01
10
00
10
00
00
10
01
01
11
10
10
00
00
10
01
11
10
00
00
01
00
10
00
11
00
01
10
01
10
11
11
10
11
10
11
00
11
01
01
01
00
00
10
11
00
10
10
00
00
11
01
01
10
10
00
10
00
00
10
11
00
00
11
01
11
11
00
00
11
10
11
10
00
00
00
10
00
10
11
10
10
00
10
01
00
10
10
00
10
11
00
11
11
11
11
10
11
10
11
01
11
10
01
00
10
10
00
01
10
01
00
11
10
11
10
01
00
00
01
00
01
10
10
00
10
11
00
00
10
00
11
10
11
01
00
01
01
10
10
00
01
10
00
10
10
01
00
10
00
01
00
01
00
11
10
01
11
00
10
10
00
11
10
00
01
11
10
00
00
11
00
00
11
00
01
00
00
11
01
10
00
01
10
10
10
01
10
01
00
00
10
10
01
01
10
10
10
01
11
10
01
00
00
10
11
10
01
00
11
10
00
10
11
00
10
10
01
01
11
11
00
00
01
10
10
10
01
01
10
10
00
11
10
10
10
10
00
10
10
00
00
01
01
11
10
01
00
10
11
11
00
01
00
10
00
10
10
00
01
10
00
00
10
01
10
10
11
11
11
01
10
10
01
00
11
10
00
00
11
10
00
00
11
10
00
11
10
00
01
01
00
00
11
10
00
11
00
00
11
10
11
11
00
00
00
10
10
10
00
01
11
11
10
10
11
10
10
01
00
10
10
10
00
00
11
10
01
10
00
00
10
01
00
00
10
11
01
00
00
01
00
11
00
01
00
01
11
00
00
10
00
11
10
01
10
00
11
10
10
11
10
00
00
10
10
00
01
10
10
00
00
00
11
00
10
00
00
10
00
00
10
10
00
00
10
11
01
10
11
00
11
10
01
00
10
10
00
00
10
10
01
01
10
00
01
01
10
00
00
10
11
00
01
01
10
11
10
10
01
00
00
01
10
10
10
00
00
00
10
10
10
10
11
11
00
01
00
01
00
11
01
11
10
11
11
00
10
00
01
10
00
10
11
01
10
00
01
01
11
11
01
01
11
00
10
01
00
00
10
00
01
11
10
11
11
00
11
10
00
00
10
10
11
01
01
00
11
10
11
01
11
00
00
10
10
10
00
00
10
11
10
11
10
11
00
10
00
01
00
11
01
11
00
10
11
00
10
11
10
01
10
10
00
01
10
00
00
10
00
11
10
00
10
00
00
10
01
01
11
00
00
10
10
00
00
11
10
00
10
01
01
10
01
10
11
01
00
00
00
10
10
11
00
11
00
10
10
00
10
00
01
10
00
00
11
00
10
10
00
00
01
00
10
00
11
10
01
00
00
10
10
11
00
10
10
00
00
01
10
01
01
01
10
11
00
10
11
01
00
10
00
01
11
10
01
11
10
10
11
01
10
00
01
01
10
10
11
11
10
00
11
00
00
10
00
00
00
10
10
10
10
00
00
01
10
01
00
00
00
00
00
11
10
01
00
00
01
10
01
10
00
00
10
00
11
10
10
00
01
00
11
00
00
11
10
11
00
11
11
00
10
01
00
11
11
00
01
11
10
01
10
10
00
00
10
00
10
01
11
10
10
00
10
11
00
11
11
11
00
10
11
10
00
00
11
00
10
01
01
10
10
00
10
00
00
10
00
01
01
10
10
00
00
01
10
00
11
00
00
11
00
10
10
10
00
00
10
11
01
00
00
10
10
10
10
00
01
00
01
10
11
10
00
00
00
00
10
00
00
11
11
00
01
00
10
01
10
11
00
10
00
11
10
00
00
10
11
00
00
11
00
00
11
10
10
10
10
01
10
01
00
01
01
10
10
10
11
01
10
11
11
01
00
00
01
10
01
00
10
10
10
00
00
00
10
10
01
00
01
10
00
00
10
10
01
10
10
10
00
10
01
01
10
00
10
10
01
01
10
01
11
11
00
11
00
11
00
00
10
11
00
01
00
11
00
00
01
10
10
00
00
01
00
10
01
11
11
11
10
11
10
00
00
10
11
00
11
10
11
00
10
00
00
00
00
11
10
00
00
10
00
11
11
00
00
00
10
11
00
00
10
00
01
11
01
10
10
01
00
11
01
10
10
10
01
10
01
00
01
11
11
11
10
11
00
11
10
11
01
01
00
01
01
11
10
10
10
00
10
11
00
00
10
00
10
00
00
10
00
11
11
11
00
00
01
01
00
10
10
11
11
00
10
01
00
10
00
10
10
00
00
10
11
10
11
10
10
01
00
00
11
00
00
01
00
10
01
00
10
10
00
00
10
00
10
10
00
10
01
11
00
01
01
01
01
00
01
10
10
00
00
11
11
10
00
10
10
01
00
10
00
00
00
10
10
11
01
00
11
01
00
10
11
10
00
00
00
00
10
10
10
11
01
10
10
11
00
01
11
11
00
11
00
00
01
10
01
11
01
00
00
11
10
10
00
00
10
10
10
01
00
01
01
10
10
11
00
01
10
10
10
00
00
00
01
01
00
10
01
00
10
10
01
00
10
10
11
11
00
10
10
11
01
00
11
00
10
10
10
10
10
01
00
00
00
00
10
11
11
00
00
10
10
00
01
11
10
11
00
00
10
00
10
01
01
01
10
01
00
00
11
10
00
01
01
10
10
10
11
01
00
11
11
10
00
10
11
10
00
00
10
10
10
00
00
11
11
10
00
11
10
00
01
00
10
11
10
00
01
00
11
00
10
10
10
00
11
10
00
01
01
00
00
00
10
10
00
10
00
00
10
10
00
10
00
11
00
00
10
01
11
10
11
11
00
11
00
10
00
00
10
01
00
10
10
00
10
00
10
10
00
00
00
01
10
10
00
10
11
00
01
00
11
01
00
01
11
10
00
10
01
01
10
01
10
10
11
00
00
00
00
10
01
00
11
01
00
01
01
00
00
10
11
00
01
10
11
00
00
11
00
01
10
10
10
01
10
00
10
11
00
11
10
10
01
01
11
11
10
00
11
00
00
10
11
00
10
10
10
00
01
10
01
00
00
00
10
00
11
10
00
10
11
00
11
00
10
11
00
10
10
00
01
00
11
10
10
00
00
11
00
10
10
10
01
11
10
01
01
00
10
10
00
01
11
11
10
10
10
10
10
01
00
11
10
10
00
10
00
00
01
10
10
11
11
00
10
00
10
00
01
01
01
10
11
10
00
10
00
01
10
00
00
10
00
00
10
11
00
00
00
11
11
00
10
00
10
11
11
11
10
11
00
00
11
00
00
11
10
11
00
00
10
00
10
10
10
01
01
10
11
01
00
10
01
11
10
00
00
10
10
10
01
00
10
00
10
10
10
00
10
11
00
10
00
01
10
11
01
10
11
10
10
01
01
10
11
10
01
01
10
01
00
01
11
00
11
10
10
01
10
11
10
00
00
00
11
10
11
01
00
00
11
10
00
00
10
10
00
10
00
10
11
11
10
01
00
00
01
00
11
11
11
00
00
10
01
01
11
10
00
00
11
00
01
11
10
00
00
10
11
10
01
01
10
10
10
11
00
10
10
01
00
10
00
00
00
00
00
11
01
01
11
10
01
00
11
00
00
10
11
00
00
00
10
10
00
00
10
10
01
00
00
10
10
01
01
00
11
10
10
10
11
01
01
01
10
10
01
10
00
11
10
00
00
01
00
10
10
00
00
10
10
00
01
11
10
00
00
01
00
00
00
00
10
00
10
11
10
00
10
10
00
11
00
11
10
00
01
11
11
00
00
10
00
11
10
01
11
10
00
11
10
00
10
11
01
11
00
00
00
10
10
01
11
10
01
00
10
10
01
10
11
00
00
11
10
10
00
00
10
00
10
00
11
10
00
10
10
00
10
00
11
10
01
10
11
00
01
10
10
00
00
11
11
01
00
00
10
11
00
00
10
11
10
10
00
00
01
00
11
00
10
00
10
10
00
10
00
01
10
11
01
01
10
10
10
11
10
01
00
11
11
11
01
00
00
00
00
10
00
11
10
00
00
00
11
10
00
00
00
11
10
11
01
00
00
00
00
00
10
11
00
10
10
11
00
11
10
01
01
10
00
01
10
11
00
01
10
00
10
00
10
10
01
00
11
10
00
10
00
10
01
10
00
10
11
10
11
10
10
00
00
10
00
10
10
10
10
00
00
10
10
00
11
00
00
00
00
10
10
10
10
00
00
11
00
01
11
00
10
00
00
00
01
10
10
10
01
10
10
10
10
11
00
01
00
00
00
01
10
10
01
00
01
00
11
10
00
00
11
10
00
00
01
00
11
00
10
11
00
10
00
00
10
10
00
00
01
01
01
11
00
00
10
10
00
10
11
01
00
10
10
10
00
00
10
00
00
10
10
01
11
10
00
00
00
00
11
11
01
10
11
10
11
00
10
11
11
00
10
01
00
10
00
10
10
00
10
01
10
01
00
11
10
11
11
00
11
11
11
11
11
00
01
10
11
10
01
00
10
00
00
10
11
00
00
00
00
11
00
00
00
00
10
00
00
10
10
00
01
11
10
10
10
00
01
00
11
10
00
00
00
00
10
11
10
10
10
00
11
10
10
10
00
00
01
10
10
00
00
11
10
00
01
11
11
11
00
01
10
01
10
10
00
00
10
11
10
00
10
00
10
01
01
10
00
11
10
11
00
11
11
10
01
01
10
10
10
00
01
11
00
11
10
00
00
10
10
11
01
10
01
00
01
10
00
10
10
11
01
00
11
10
00
00
11
10
00
01
11
01
00
01
11
01
00
10
10
00
00
00
00
11
10
10
00
00
10
10
00
00
00
11
11
11
01
10
11
00
10
01
00
11
11
10
01
00
01
10
00
00
10
10
11
11
00
11
00
00
10
10
01
00
10
11
10
00
11
10
00
01
11
01
00
10
00
01
10
00
10
11
00
01
00
11
10
00
00
00
00
10
11
11
00
10
00
00
10
10
11
10
01
00
01
10
10
11
00
10
10
00
01
11
10
00
10
11
10
00
10
10
10
00
10
00
01
10
10
00
00
11
00
11
10
10
10
00
11
01
10
10
00
01
00
00
00
11
00
11
00
10
11
00
10
10
10
00
10
10
00
00
11
00
11
01
00
00
10
10
01
10
11
00
01
00
10
10
10
10
01
00
11
00
00
10
00
00
00
10
10
11
00
10
10
10
00
10
10
00
01
00
11
10
01
11
10
01
00
11
10
00
00
10
10
00
00
11
10
00
00
10
11
01
01
10
00
10
01
00
10
00
00
10
01
11
11
00
00
10
11
11
10
00
01
01
01
11
10
10
00
00
10
00
00
11
10
01
01
00
01
01
00
11
01
01
11
00
10
10
00
00
01
10
00
01
00
00
10
00
11
01
01
11
00
10
00
01
10
01
00
10
01
11
00
11
11
00
10
10
01
10
01
10
01
00
10
01
00
00
00
00
11
00
10
10
11
00
00
00
11
10
10
00
11
10
11
10
00
00
00
00
00
00
11
01
11
00
00
10
10
11
01
00
10
11
11
10
00
00
00
10
00
00
00
11
10
11
10
01
00
01
10
11
10
01
00
10
11
11
00
00
10
00
10
00
00
00
11
10
10
00
10
01
10
10
00
10
10
10
00
00
00
00
10
11
01
00
00
10
01
00
00
00
00
10
01
00
11
11
00
10
01
01
10
00
01
11
11
10
01
00
00
10
00
10
10
10
11
01
11
00
01
11
00
11
11
00
00
10
00
00
00
10
11
10
00
11
10
10
10
00
00
00
01
11
11
10
10
01
00
00
10
11
00
11
00
00
10
11
00
10
10
10
11
01
10
11
11
00
00
00
10
00
01
10
10
01
10
00
10
00
00
10
10
00
10
00
00
00
00
10
00
10
00
00
11
11
10
10
00
00
00
01
10
11
11
10
00
00
10
10
00
00
00
00
00
10
00
01
11
00
00
10
10
00
11
00
10
10
10
00
10
11
00
10
01
10
11
10
11
00
01
01
11
11
01
10
01
10
01
11
11
10
01
00
00
00
11
01
00
01
01
10
10
10
10
10
00
00
10
00
10
10
00
01
10
11
10
11
10
00
10
10
10
00
00
10
10
10
01
11
10
00
11
00
00
10
11
10
10
11
10
00
10
01
00
11
01
00
11
00
10
10
01
00
00
11
10
10
10
00
01
11
11
10
01
00
00
00
11
10
01
11
10
11
10
10
01
00
10
10
10
00
00
00
00
01
01
01
11
10
00
11
10
00
11
11
00
10
10
00
00
10
00
11
00
11
10
00
00
11
11
10
10
00
11
10
01
10
10
00
11
01
01
00
10
10
10
01
10
10
01
10
10
10
00
01
00
00
10
01
11
10
01
11
00
00
10
01
11
01
00
00
00
00
01
11
10
00
11
10
10
10
10
01
10
10
00
00
01
00
01
11
01
00
00
00
11
01
00
11
10
01
00
00
00
11
10
00
01
10
10
11
01
00
10
00
01
00
10
00
11
11
00
10
00
10
00
10
10
00
00
11
10
01
10
10
00
11
00
11
10
10
00
00
10
00
00
10
10
11
11
10
00
11
10
00
01
00
00
10
01
10
11
10
10
11
01
01
00
10
00
00
00
01
10
11
11
01
11
10
00
10
00
10
11
01
11
00
01
10
10
10
10
00
01
10
11
00
01
11
11
00
00
01
00
10
10
00
11
10
11
00
00
01
11
10
11
10
00
01
10
10
10
11
00
00
01
00
10
10
10
10
00
00
10
10
01
10
01
11
10
10
01
00
11
00
00
11
11
00
00
10
10
10
00
11
00
10
10
01
01
11
10
01
00
10
10
10
11
00
00
10
00
10
00
00
00
10
10
00
11
11
00
01
10
10
00
10
10
00
00
11
10
01
01
00
00
10
00
01
10
10
00
00
11
00
01
11
10
10
11
10
01
01
10
10
00
01
00
00
00
00
10
10
10
00
01
00
11
00
10
11
00
01
10
10
00
00
11
01
01
10
00
01
00
10
11
00
10
10
00
10
11
11
11
01
00
11
00
10
11
00
01
11
10
00
01
00
11
00
01
00
00
00
10
00
00
00
10
10
00
10
10
10
11
11
11
00
00
00
00
00
10
11
10
10
00
00
00
00
01
10
10
00
10
00
00
00
00
01
11
11
10
01
00
11
10
11
00
01
10
00
00
10
11
00
11
00
00
11
11
10
01
00
10
10
10
00
00
10
10
10
10
00
00
10
10
00
10
00
00
10
00
00
11
01
10
00
10
01
11
10
10
10
00
00
10
10
00
00
10
00
10
01
00
00
11
01
00
00
10
01
00
10
00
00
11
00
00
10
00
00
10
10
10
01
00
11
10
00
00
01
00
00
00
10
10
10
00
00
00
10
10
11
10
10
01
10
01
10
00
00
00
00
00
00
10
11
10
01
10
10
00
10
01
11
00
01
10
10
10
00
01
11
10
00
10
01
01
10
10
00
01
10
10
11
00
00
01
10
00
10
10
00
11
00
10
00
00
11
10
00
01
00
00
00
10
01
00
10
11
01
01
10
10
01
10
10
01
01
10
00
11
10
00
10
01
01
10
10
10
10
00
10
11
00
00
10
00
01
10
01
00
10
10
11
10
11
10
00
00
11
01
01
10
10
01
11
11
00
01
10
01
00
01
10
10
01
00
10
10
00
00
00
00
11
10
10
01
11
10
11
01
01
10
00
00
00
11
11
10
00
01
10
00
10
10
00
00
00
10
10
00
10
11
11
01
00
10
11
00
10
10
01
00
00
11
00
00
10
01
10
11
00
00
10
11
00
11
01
10
10
10
10
00
00
11
10
01
10
10
00
00
00
00
10
00
00
10
11
10
00
10
10
11
01
11
10
00
10
10
01
10
11
00
00
10
00
00
11
11
00
00
00
01
00
10
01
11
01
01
01
11
10
10
00
00
01
10
11
00
00
11
10
11
10
11
01
10
00
00
11
10
00
11
10
00
00
10
10
01
11
11
01
11
10
00
01
00
00
00
00
11
11
00
00
00
10
00
00
11
10
00
10
10
00
11
11
00
00
00
10
00
00
10
11
11
00
11
10
00
11
10
10
00
11
10
10
01
00
01
01
00
00
10
10
10
01
00
00
10
00
11
00
00
00
00
10
10
10
11
00
00
11
00
11
10
00
11
00
10
10
10
01
10
00
00
10
00
10
10
10
10
00
11
10
11
01
10
00
01
11
11
11
00
10
00
01
10
10
00
11
00
01
10
00
01
10
11
11
00
11
00
01
11
10
00
01
11
00
00
11
10
00
10
11
00
00
10
00
00
10
00
00
10
10
01
10
11
01
11
01
00
10
00
10
10
00
01
00
00
01
00
10
00
01
11
10
00
00
11
10
01
10
10
10
00
00
11
01
10
11
11
00
10
10
00
00
00
11
10
01
00
11
00
00
00
10
01
01
00
10
11
10
10
01
01
10
11
00
11
11
10
10
00
10
00
01
10
00
01
10
01
00
00
01
01
01
10
01
10
00
01
10
00
01
11
11
11
11
10
01
01
01
11
10
00
10
00
11
01
01
10
00
00
10
01
00
01
01
10
11
10
00
11
11
00
11
11
10
01
01
10
10
00
01
11
11
00
01
11
10
00
10
11
00
10
11
00
01
10
00
10
11
00
11
00
00
10
10
10
11
10
01
00
10
10
10
10
01
00
10
00
10
11
00
11
00
00
11
10
00
01
10
10
10
01
11
10
00
00
11
10
01
01
00
11
10
00
10
00
10
00
00
11
10
11
10
10
11
01
01
01
01
00
00
10
00
10
10
00
00
00
10
01
00
11
10
01
00
00
01
10
10
00
00
10
10
10
00
00
11
10
00
11
10
01
00
10
10
00
00
11
10
01
00
11
10
11
00
00
10
00
00
10
11
00
01
11
10
11
00
10
10
00
00
10
10
10
10
00
10
10
00
11
00
10
01
00
10
11
10
00
00
00
11
00
00
10
00
01
01
10
10
10
11
11
01
11
10
00
01
00
00
00
10
10
01
00
00
00
00
10
01
00
10
11
01
11
10
11
10
00
00
10
00
00
10
01
00
10
00
01
01
00
10
10
00
00
00
00
10
10
01
00
10
00
00
10
00
00
01
00
10
11
00
01
11
11
11
01
00
10
11
10
00
00
10
00
00
10
00
00
10
10
10
11
10
00
00
10
00
10
00
00
11
00
01
00
10
00
11
00
11
11
01
00
00
10
10
10
01
00
10
10
00
00
00
10
10
10
00
10
00
10
00
00
00
00
10
10
00
00
11
00
00
10
00
10
10
01
00
00
00
00
10
10
00
11
10
01
10
10
10
10
00
01
00
10
01
11
10
11
00
01
11
10
10
01
00
11
01
01
00
00
10
11
00
00
10
10
01
01
01
00
01
00
00
00
10
10
11
01
01
01
10
11
00
10
00
00
11
11
10
00
01
10
11
01
00
10
10
10
01
10
10
00
10
01
10
01
01
10
01
10
10
11
01
10
10
00
00
01
00
11
00
00
11
11
10
00
01
10
01
10
10
00
00
11
01
00
10
10
10
00
11
11
00
10
11
10
11
01
01
10
11
01
00
10
00
00
10
10
10
10
10
01
00
00
11
10
00
11
00
11
11
00
00
00
00
00
11
00
01
11
11
00
00
10
10
10
00
10
11
01
01
11
01
10
01
11
10
01
00
00
11
00
01
10
01
00
10
11
11
00
00
11
10
11
01
01
11
01
00
00
00
10
10
00
00
10
10
00
10
00
00
00
10
10
01
00
11
10
10
11
01
00
00
11
11
10
00
00
00
11
11
00
10
10
00
10
01
11
11
00
01
10
00
00
10
10
10
10
00
11
10
10
11
11
11
01
00
00
10
10
00
00
10
10
10
10
11
00
11
01
01
00
10
10
01
10
10
11
00
01
00
01
10
10
00
00
00
10
01
00
10
10
10
00
00
11
10
01
10
00
00
00
00
00
10
10
10
00
10
10
10
00
00
00
10
01
00
11
11
00
10
00
00
00
00
11
10
00
00
00
00
11
10
10
00
10
11
01
11
01
01
00
11
00
01
10
11
10
00
00
10
10
00
11
01
00
01
01
00
10
10
10
10
11
01
10
00
10
11
10
10
10
11
00
11
10
01
00
00
01
10
10
01
00
10
11
11
00
00
11
01
00
10
00
00
00
10
10
11
01
00
10
10
10
10
00
00
00
10
11
00
01
10
10
10
00
01
11
01
01
01
10
00
00
11
11
00
00
00
10
11
10
11
00
01
00
10
10
00
10
11
11
01
11
10
00
10
00
00
10
11
01
10
00
00
10
00
00
11
10
10
00
10
11
10
11
00
00
10
00
00
10
10
00
00
11
11
11
10
00
10
00
11
10
01
01
11
01
00
01
11
00
10
00
01
10
11
01
10
11
00
01
00
11
11
11
00
01
00
01
00
11
10
00
10
00
00
10
10
00
10
10
11
10
10
00
10
01
00
01
00
00
00
10
10
00
10
11
01
00
11
10
00
01
00
01
00
10
10
01
01
01
10
11
00
01
10
01
11
10
00
00
10
11
10
00
10
10
00
00
01
10
01
11
10
11
10
10
11
00
01
11
11
00
10
10
01
00
11
11
00
01
11
10
00
10
10
10
00
10
11
00
11
10
00
00
00
00
01
10
10
01
00
10
11
01
10
11
11
11
00
01
10
10
01
00
00
10
10
00
10
00
00
00
11
01
10
10
01
10
01
11
11
10
01
11
11
10
01
10
10
01
00
10
10
11
01
00
10
10
01
11
01
00
01
10
00
10
10
00
11
11
00
11
10
11
10
00
00
00
10
10
10
00
10
10
10
01
10
10
01
10
01
11
01
01
01
10
10
10
00
11
10
00
00
10
10
10
10
10
01
00
01
10
10
11
01
00
11
01
00
10
10
00
00
01
10
10
00
00
10
11
10
00
00
10
01
00
10
11
01
10
00
11
00
10
10
11
10
10
01
00
00
10
00
10
10
01
01
11
01
00
10
11
10
10
01
00
10
11
10
11
00
01
01
10
11
11
11
00
10
11
11
10
10
01
10
10
00
00
01
10
00
01
01
11
11
00
01
10
10
00
01
10
01
10
10
00
10
10
00
00
11
10
10
00
00
01
00
10
10
10
01
00
00
00
11
00
00
10
10
00
10
11
10
01
11
00
00
00
01
10
11
00
10
00
00
00
01
11
10
01
11
10
01
10
00
00
00
11
10
11
01
00
11
10
10
10
01
11
11
11
00
00
11
10
10
00
00
10
10
00
01
10
01
00
10
10
10
10
00
01
00
10
10
01
01
11
01
01
11
10
01
00
10
11
10
00
00
00
11
10
10
00
10
00
10
00
10
10
11
11
00
10
01
10
00
01
10
10
00
01
01
01
00
10
10
01
10
01
01
11
01
10
10
00
11
10
10
01
00
10
00
10
10
00
10
11
00
11
00
11
01
11
01
00
10
10
11
10
10
00
01
10
10
00
00
10
00
00
10
10
10
10
01
00
00
11
01
10
11
10
10
01
10
01
00
10
10
01
00
00
00
10
11
00
10
00
00
01
10
10
00
00
10
10
00
10
01
10
11
00
00
00
10
11
10
10
00
10
00
00
00
10
10
00
00
00
00
00
00
00
10
10
00
00
11
10
10
11
00
10
01
01
00
01
10
11
01
11
10
10
00
00
10
01
00
10
00
10
10
10
01
00
11
00
00
00
00
01
11
00
01
00
10
11
10
11
10
01
00
00
10
00
01
10
00
10
00
10
00
00
11
00
10
10
00
00
00
10
10
10
00
00
11
10
00
01
10
00
11
01
10
10
01
01
11
11
01
10
10
01
10
11
00
01
10
00
00
01
10
11
10
00
01
10
10
01
10
10
01
11
10
00
01
11
10
00
00
00
10
10
10
00
01
00
10
11
00
00
00
10
10
10
01
10
00
00
01
00
11
00
10
00
00
10
10
01
00
10
00
00
11
10
00
10
11
00
00
00
10
10
00
00
11
00
01
10
00
00
00
10
01
01
11
10
00
00
10
10
11
10
01
00
11
11
01
10
01
00
11
10
01
10
10
11
01
00
10
10
10
01
00
11
01
00
10
01
10
11
00
00
10
10
10
11
10
01
11
10
11
00
00
10
01
00
10
11
10
01
11
00
00
11
10
01
10
11
00
11
00
01
10
10
10
00
10
00
00
10
10
10
00
00
11
10
00
10
01
10
11
10
01
00
00
10
10
11
00
10
10
00
11
00
00
10
10
00
10
10
00
00
10
10
10
10
11
11
01
10
00
11
01
01
10
10
00
11
11
11
00
00
10
10
11
01
00
11
11
01
10
00
01
11
10
11
00
11
10
10
00
00
10
10
00
00
00
10
00
11
10
00
00
00
10
00
01
11
10
00
00
10
00
01
00
11
01
10
10
00
10
01
11
11
10
01
00
01
01
00
11
10
00
00
11
10
11
01
00
01
10
11
00
10
10
10
00
01
11
10
00
11
00
11
11
00
00
10
11
00
10
01
10
11
00
10
10
10
00
11
00
01
01
00
01
10
00
11
00
01
10
00
01
00
10
10
00
00
01
10
10
10
11
01
10
10
11
11
10
00
00
01
10
11
10
01
00
11
00
10
11
10
01
01
00
10
11
00
00
00
10
01
00
10
10
10
00
11
10
00
10
11
00
00
00
00
10
10
10
00
11
10
11
10
01
10
10
01
00
01
10
01
00
11
10
11
10
00
00
11
00
00
10
10
01
01
00
11
11
10
10
01
00
11
01
01
10
11
00
00
00
10
10
00
11
10
00
11
00
00
00
10
10
01
01
11
01
00
00
00
01
10
01
00
10
11
00
11
10
01
00
00
01
00
00
01
10
11
01
00
00
11
00
01
00
10
10
00
00
00
00
10
11
00
10
01
10
10
10
00
00
10
00
01
00
10
10
00
00
00
10
00
10
00
10
10
01
00
11
01
00
00
01
01
00
00
10
11
11
10
00
10
11
00
01
01
10
11
00
10
01
01
11
00
10
00
01
10
10
11
01
00
11
10
11
01
10
11
00
10
00
00
10
10
00
00
00
10
01
00
10
10
10
10
10
00
00
00
00
10
01
01
01
00
00
11
01
00
11
10
00
00
10
10
00
00
10
00
01
00
10
11
11
01
10
11
00
01
00
11
10
00
00
01
00
10
00
00
10
10
01
10
11
00
10
01
01
10
10
00
00
00
10
00
00
11
11
00
00
10
10
00
11
10
00
01
10
00
00
10
10
10
00
01
11
10
10
01
00
00
01
11
10
00
01
00
01
01
00
10
10
10
01
10
10
00
11
10
10
00
00
10
10
10
01
00
11
10
00
11
00
01
11
10
00
00
00
10
00
10
10
01
10
10
00
00
00
00
00
10
00
10
10
01
01
10
10
10
10
00
10
00
00
11
10
10
01
10
10
00
00
10
10
00
00
11
10
01
00
10
00
01
00
10
10
10
10
11
00
00
00
00
01
00
10
10
00
00
10
10
11
10
00
00
11
10
11
10
11
11
01
00
01
01
11
00
10
10
00
01
10
10
00
10
10
01
10
11
11
10
00
10
11
01
00
10
00
10
10
10
00
00
00
00
10
10
00
10
00
10
00
01
11
10
00
00
11
00
10
10
11
11
10
01
01
00
00
10
10
00
00
10
10
00
00
11
01
01
10
10
00
00
11
11
00
01
01
10
11
00
11
00
00
10
11
00
01
10
10
10
00
10
00
01
00
00
10
10
00
11
00
00
01
01
11
11
10
01
01
10
00
00
10
10
10
00
00
00
00
00
10
10
10
00
10
11
00
00
11
10
00
00
00
00
00
11
01
00
01
10
00
10
10
10
11
01
00
10
10
01
00
10
00
00
01
11
10
01
10
00
11
01
10
11
01
01
11
10
00
00
10
10
00
00
10
10
11
01
00
11
00
00
10
00
10
11
10
01
00
00
11
10
11
11
11
00
00
00
10
11
01
10
01
01
00
11
10
01
00
10
11
00
01
10
00
00
00
00
11
00
11
10
10
01
11
10
10
11
00
11
00
11
01
00
11
00
10
00
10
11
00
10
11
10
10
11
10
00
00
00
10
10
00
00
01
00
01
01
11
00
00
10
10
11
00
00
01
00
01
10
11
11
10
00
00
00
10
10
00
10
10
01
11
10
01
11
01
10
10
11
11
10
00
10
00
10
10
00
00
10
10
10
00
01
11
11
00
10
01
01
10
10
00
10
11
11
10
01
00
10
00
00
10
11
01
10
00
10
10
11
10
01
00
10
01
10
00
00
10
10
00
01
11
00
10
00
01
00
10
00
00
10
10
00
11
00
01
10
10
00
00
10
10
00
00
01
01
11
10
11
10
10
00
00
01
01
00
10
10
01
11
00
01
10
10
01
00
10
10
01
00
01
00
00
11
00
00
00
10
10
11
00
00
10
10
10
10
00
00
10
10
11
00
10
10
01
00
10
00
10
10
11
10
00
00
10
10
01
10
11
11
00
01
11
11
00
10
00
01
11
11
11
01
10
10
00
01
00
11
10
00
10
01
00
10
10
11
00
10
10
10
00
11
10
01
01
10
10
00
10
10
01
00
10
10
01
10
10
00
10
01
01
10
01
00
00
00
11
10
10
10
01
00
01
01
01
01
01
00
11
11
10
11
10
01
01
00
00
11
01
10
10
00
00
00
10
10
11
01
10
00
00
10
00
00
10
01
01
10
10
10
00
01
00
10
00
11
11
00
10
00
10
10
10
00
11
10
10
10
10
01
00
10
01
00
01
10
01
10
00
00
10
10
00
00
10
01
10
10
01
10
10
01
10
00
11
00
11
10
00
11
00
00
10
00
00
01
11
01
10
11
10
00
01
00
00
10
11
01
11
11
01
01
01
10
10
00
10
11
00
10
11
01
10
01
10
10
00
01
11
11
01
00
11
01
11
10
10
01
01
11
11
01
01
11
00
11
10
00
10
11
10
01
01
11
00
10
11
00
11
00
00
10
01
00
11
00
01
00
00
10
10
10
00
10
10
01
00
10
01
01
00
01
10
11
01
00
00
11
11
00
00
00
11
00
00
10
11
00
10
01
01
10
01
10
11
10
10
10
00
00
00
10
01
10
00
10
00
10
00
10
01
11
11
00
10
10
11
10
10
00
10
10
00
01
01
10
10
01
00
00
00
10
10
11
01
00
00
00
01
11
00
11
11
10
00
10
00
01
10
11
11
11
00
10
10
10
00
00
01
10
10
10
10
00
10
10
10
11
00
00
00
10
01
10
00
01
01
11
10
00
00
00
10
10
00
01
00
10
11
00
11
11
10
01
01
10
11
10
00
01
00
00
10
10
10
10
00
00
00
00
10
01
00
10
00
11
01
00
10
01
01
10
11
01
00
11
10
00
10
11
01
01
10
11
00
10
11
00
10
00
10
10
10
11
10
10
01
00
01
00
01
10
00
00
00
01
10
00
00
10
10
10
11
10
10
00
10
00
10
01
10
10
00
01
10
00
01
00
00
11
11
00
10
11
00
01
10
10
00
01
10
11
10
00
10
10
01
00
00
10
00
00
10
00
10
10
11
00
01
11
10
00
00
00
00
10
11
11
00
11
10
01
10
00
00
10
00
01
10
10
10
11
10
01
00
01
00
10
10
00
00
00
01
11
11
00
01
10
11
00
10
10
10
00
01
10
10
00
00
00
10
10
11
00
00
01
01
00
01
00
10
00
00
10
10
01
00
00
10
11
00
00
01
00
10
00
00
10
10
10
00
00
11
00
00
00
10
11
01
00
01
00
00
11
11
00
00
10
11
10
00
10
10
01
10
10
00
10
10
10
10
00
10
01
00
00
11
11
01
10
11
10
00
11
10
00
00
00
10
00
00
11
10
00
00
10
01
01
11
11
01
00
10
01
10
00
00
10
11
00
00
10
00
01
10
01
00
00
10
10
00
00
11
11
11
00
00
00
00
10
11
11
01
00
00
10
10
11
00
00
11
11
10
10
00
00
10
00
00
01
10
00
00
11
00
01
10
10
11
00
10
10
00
00
00
10
00
10
00
00
00
11
11
01
10
11
10
00
00
10
10
00
00
10
01
00
00
10
11
11
10
01
00
11
10
00
10
01
11
10
10
01
00
00
00
11
10
11
00
11
01
10
01
00
00
00
10
10
10
00
00
10
11
10
10
11
00
00
11
10
10
00
10
10
00
00
01
00
11
11
10
00
10
11
10
11
00
11
10
00
01
11
00
00
00
00
01
11
10
10
00
00
00
11
00
10
10
10
10
01
00
11
10
01
00
00
10
00
00
01
00
10
00
00
10
10
00
00
10
10
10
00
00
11
01
10
11
01
10
01
00
00
11
10
00
10
00
01
10
00
00
01
10
00
10
11
11
00
11
10
11
10
11
00
10
00
00
10
01
11
10
10
01
10
01
10
00
00
01
10
01
10
10
01
00
00
10
01
01
10
11
10
01
00
00
10
10
01
01
00
10
00
10
10
01
10
10
10
10
00
00
10
00
00
11
00
11
01
00
10
10
11
00
00
10
00
01
10
00
10
10
00
00
10
10
01
00
10
00
10
10
01
01
11
00
10
11
10
10
01
10
10
10
00
00
00
11
10
00
01
11
00
00
01
00
01
01
10
00
11
00
11
01
01
00
11
11
11
00
00
01
10
10
00
00
10
10
00
10
10
00
00
10
10
00
10
00
10
01
10
01
01
11
00
00
11
10
00
01
10
11
10
00
10
11
10
00
10
01
10
10
00
10
10
00
00
00
00
10
00
10
00
11
10
11
10
10
10
11
00
01
01
11
10
01
11
01
11
10
00
01
11
01
10
10
10
10
00
10
00
00
00
10
11
10
01
10
11
00
10
00
10
00
01
11
10
11
10
00
01
01
00
10
10
01
10
10
10
01
10
10
00
00
00
11
00
00
00
10
01
10
11
00
11
10
00
01
10
11
10
10
00
10
01
10
10
10
10
10
00
10
01
10
00
10
01
10
01
11
10
10
00
01
01
01
01
11
00
01
10
01
00
11
10
10
00
00
00
00
00
10
01
00
00
01
10
10
10
00
10
00
11
10
01
01
00
01
00
01
11
00
00
00
01
10
00
11
00
00
10
00
00
01
10
10
11
00
00
01
10
11
10
01
00
10
00
00
01
01
10
10
10
00
11
00
10
10
10
01
00
11
00
01
10
01
01
01
01
01
00
11
00
11
10
01
00
10
00
00
10
11
10
11
10
00
11
10
00
00
00
00
10
00
10
11
10
01
10
00
00
10
10
00
00
11
10
11
00
00
10
10
01
01
10
10
00
10
00
00
10
11
10
00
01
10
01
11
11
01
11
10
10
10
01
10
00
00
10
11
10
00
10
00
10
00
00
00
11
11
10
01
00
10
00
11
10
10
01
00
01
11
00
01
01
10
00
10
11
10
11
11
11
00
11
10
10
00
10
11
00
00
10
10
00
00
00
01
00
10
10
11
11
01
10
01
10
11
00
10
10
00
00
01
00
11
10
10
10
00
11
11
00
00
11
11
10
10
00
01
10
10
00
00
11
10
00
00
11
10
10
00
10
10
00
10
01
10
10
10
00
00
00
10
10
00
10
11
00
00
01
10
00
00
10
01
11
01
01
10
00
00
00
01
10
10
00
10
11
00
10
10
01
00
10
11
10
10
01
00
10
10
10
00
10
00
00
00
00
10
10
11
10
10
11
11
00
00
01
10
10
11
11
01
01
10
10
11
11
01
01
10
11
00
00
10
00
00
10
00
00
01
00
11
10
11
00
00
11
11
00
01
11
01
01
00
10
10
00
11
00
00
11
00
01
11
11
10
01
10
00
00
10
01
00
00
10
00
11
00
01
00
00
10
00
00
10
10
10
11
00
10
10
10
11
10
10
10
00
00
00
10
01
00
11
11
10
00
00
00
10
00
00
01
00
01
10
00
10
10
11
10
00
00
00
11
10
00
00
01
10
01
10
00
00
10
10
10
10
10
11
00
00
10
00
10
11
00
01
10
00
11
10
01
00
10
11
11
00
11
10
01
11
01
00
00
11
01
00
11
10
00
11
01
11
10
01
00
00
11
10
00
00
10
11
11
10
10
01
10
00
00
10
11
00
10
10
00
00
11
00
00
10
10
00
01
00
10
10
00
10
10
00
00
10
10
00
00
10
01
00
11
01
01
10
11
00
01
10
11
11
11
00
01
00
10
11
00
00
11
01
01
01
10
10
00
10
10
10
10
01
00
00
10
10
01
00
00
10
10
10
10
00
10
01
11
00
11
10
01
11
10
10
01
00
10
00
11
10
01
01
10
11
00
00
10
01
00
00
11
11
00
10
00
01
10
10
00
00
10
11
01
10
11
11
10
00
10
00
10
01
00
00
00
10
11
10
10
00
01
10
11
11
01
01
01
10
10
01
01
10
01
10
10
01
10
00
01
00
10
10
10
10
00
00
00
10
10
10
00
00
00
00
00
11
10
00
11
10
10
11
11
01
11
10
00
01
10
10
01
11
11
10
01
10
10
00
00
00
10
00
10
10
00
10
01
10
00
10
10
00
00
00
00
10
10
10
10
11
10
00
10
01
11
00
11
10
01
01
10
00
00
01
11
10
01
00
10
00
00
11
00
00
00
10
10
00
10
11
10
00
00
00
11
11
11
10
00
00
10
00
00
00
10
10
00
01
11
11
10
01
10
10
11
01
01
00
11
10
11
10
00
00
10
00
00
10
01
10
11
00
00
01
10
11
00
00
10
10
10
00
00
10
10
00
10
10
11
00
01
00
00
00
00
10
01
00
10
10
01
01
00
00
10
10
01
00
11
00
10
10
01
10
00
00
10
11
11
10
00
10
01
10
10
11
11
10
10
00
11
11
01
01
10
11
00
00
11
01
00
11
00
10
00
00
10
10
10
01
00
00
00
00
01
11
01
10
11
10
01
11
11
11
00
00
00
00
10
00
10
10
01
00
01
10
00
01
00
01
10
10
10
00
11
00
10
10
10
10
01
10
00
00
11
10
10
11
00
00
10
00
00
00
11
11
10
00
11
11
10
11
00
11
00
10
10
00
00
01
01
10
00
10
00
01
00
00
10
10
01
11
01
11
01
11
01
00
11
10
00
00
11
10
00
00
01
10
10
11
00
00
11
01
00
10
11
00
00
10
00
10
01
00
10
01
00
11
11
01
01
11
00
10
00
10
10
10
00
00
10
10
10
10
10
11
00
00
00
01
00
00
10
00
11
00
00
00
10
10
00
11
10
11
11
11
10
10
00
00
01
01
00
10
11
11
11
01
00
10
00
11
00
00
10
10
01
00
00
00
10
10
00
10
10
11
00
00
10
11
01
01
10
10
10
00
00
00
10
00
00
11
10
00
10
00
01
01
00
11
10
11
10
00
10
10
11
00
10
10
10
10
00
00
10
11
01
10
01
11
10
10
00
01
00
11
10
01
10
10
11
10
00
01
00
11
10
00
01
00
11
11
11
11
01
01
10
10
10
01
00
11
00
00
00
10
00
00
10
11
00
11
10
10
11
01
10
00
00
10
11
11
01
00
00
10
00
11
10
00
10
10
10
00
10
10
01
00
01
10
01
10
11
00
10
10
10
00
11
10
01
10
11
01
10
10
00
10
00
01
10
11
10
00
10
10
01
00
01
10
00
00
11
11
00
10
10
00
10
11
10
10
10
01
11
00
00
00
11
00
10
11
01
00
10
01
00
00
00
11
10
00
00
10
00
01
10
00
10
00
10
10
01
00
11
11
10
01
11
11
11
11
01
00
00
11
00
01
10
00
10
10
00
10
10
01
00
11
00
10
11
11
11
00
10
10
00
00
01
11
10
00
00
00
11
10
00
10
10
10
00
10
00
10
00
11
11
10
00
10
00
00
10
10
01
10
01
00
00
00
01
10
10
11
11
00
10
10
01
10
01
10
00
11
10
01
00
01
11
01
11
10
10
10
01
11
01
10
10
00
10
11
01
01
10
10
00
01
10
01
01
11
00
10
10
11
11
00
10
00
10
00
01
10
00
11
01
11
00
00
00
00
10
00
11
00
10
10
11
01
00
10
01
00
00
01
00
00
10
11
00
01
10
10
01
00
10
00
10
11
00
10
00
10
01
00
10
10
01
10
10
10
10
10
00
00
10
10
00
00
11
00
00
00
11
10
00
01
00
10
10
11
10
11
10
11
11
00
00
00
00
10
10
01
00
10
00
00
11
00
10
00
00
10
10
01
00
10
01
01
10
01
10
11
00
00
10
00
01
00
11
00
00
10
00
11
10
10
00
00
10
00
10
00
11
11
10
10
10
00
00
10
01
00
00
11
10
01
00
10
10
11
11
10
00
00
10
11
00
10
01
10
00
01
00
11
10
01
11
10
01
01
10
10
00
00
11
01
01
10
01
11
01
10
10
01
10
10
01
11
10
01
10
00
00
00
00
10
00
10
10
11
10
11
00
00
11
10
11
10
01
10
10
11
10
01
00
01
00
10
10
11
01
00
01
00
00
10
00
10
11
10
00
00
01
00
01
00
10
11
10
01
11
10
10
00
01
10
10
11
00
00
01
10
10
10
01
01
11
10
00
00
10
10
01
00
00
00
11
10
10
00
10
10
10
00
10
11
01
00
00
10
00
00
00
10
11
10
11
10
11
10
10
01
00
01
10
10
01
01
01
10
11
01
10
10
00
10
10
00
01
10
01
00
10
01
01
10
10
00
00
10
00
10
00
01
10
11
10
01
00
00
11
01
10
01
00
10
11
10
11
10
00
00
00
10
11
10
01
10
10
01
10
00
11
11
00
00
11
10
10
00
00
00
01
10
10
00
10
10
00
10
10
10
00
00
00
11
01
01
00
00
00
10
10
00
10
10
01
10
00
10
00
11
10
11
10
00
00
10
01
01
00
01
11
11
00
11
01
01
01
10
10
01
01
11
00
01
10
10
10
11
10
01
00
10
00
10
01
00
11
11
00
00
10
10
00
10
11
01
00
00
00
01
00
11
11
01
00
10
10
10
00
01
01
10
00
01
00
10
10
00
00
11
01
01
10
01
10
10
00
10
00
10
11
00
10
00
10
00
10
11
10
10
10
10
10
10
11
00
01
10
10
01
10
00
00
10
10
00
00
00
10
10
01
00
10
11
10
00
10
11
00
00
10
01
00
00
00
11
10
00
01
00
00
10
11
00
00
01
10
11
00
10
00
11
10
00
11
10
01
01
00
11
00
10
01
10
00
10
01
00
11
00
10
00
00
11
10
00
00
00
10
00
00
10
00
10
01
00
00
00
11
01
00
10
00
00
00
01
10
10
01
00
10
11
10
01
10
00
00
00
00
01
11
10
00
11
10
00
00
10
01
00
01
00
10
10
01
00
10
11
00
11
00
00
01
11
10
11
00
00
01
11
10
01
11
10
10
01
11
00
01
11
10
11
01
00
11
11
01
00
01
10
01
11
10
11
00
00
10
01
01
11
01
00
11
00
10
00
00
11
10
00
00
00
10
00
10
11
10
10
10
00
11
00
10
10
10
10
10
10
00
11
11
00
10
10
00
00
10
01
01
10
01
00
01
10
01
10
10
01
01
10
10
11
01
10
01
00
00
01
11
00
00
00
01
10
10
00
10
10
10
00
01
10
10
00
10
00
00
01
11
10
01
00
10
11
00
01
01
10
00
10
00
00
11
11
01
00
00
00
00
00
10
11
00
11
01
00
00
10
01
10
10
00
10
01
10
00
00
11
00
01
00
00
10
10
01
10
10
01
01
10
00
10
11
00
01
11
00
11
01
00
11
10
00
00
10
10
11
10
01
11
01
01
10
01
00
11
00
00
00
11
00
00
10
11
10
10
10
00
11
00
11
01
11
00
10
00
10
11
10
11
00
11
10
10
00
10
00
10
01
10
11
00
11
00
10
11
10
11
00
10
10
10
00
00
00
11
10
10
10
10
10
10
01
00
01
00
11
10
10
00
11
10
00
11
00
00
11
00
01
10
11
11
11
11
11
10
00
00
11
01
01
10
10
00
00
11
00
10
10
00
00
01
01
10
11
01
10
01
01
01
10
00
00
10
10
01
00
10
10
00
01
10
00
01
10
10
00
00
01
10
11
11
11
01
01
00
00
00
10
11
00
01
10
10
00
10
10
01
00
10
10
10
10
10
11
11
01
01
00
10
11
10
00
10
11
00
00
10
00
10
10
01
10
00
00
01
10
11
00
01
10
10
00
10
10
01
00
11
11
01
11
10
00
00
01
11
01
00
10
10
11
00
10
10
01
10
10
11
10
00
10
01
10
00
00
00
00
00
10
11
10
00
00
10
10
00
01
11
10
01
10
10
10
10
10
00
00
01
11
11
00
01
01
11
01
00
11
10
00
10
11
10
00
11
11
10
00
10
00
10
00
00
00
01
11
10
11
10
10
00
00
10
11
01
01
10
00
00
00
11
00
00
11
10
10
00
01
01
10
11
00
00
10
10
10
00
11
11
10
01
00
00
01
10
11
10
01
10
10
00
01
10
11
10
00
10
01
11
00
01
10
11
11
00
01
00
01
11
10
00
01
01
10
01
10
00
01
10
10
11
11
10
01
10
11
01
00
01
10
00
00
00
10
11
11
00
10
00
00
00
00
11
01
10
01
11
00
00
11
11
00
10
10
01
01
00
11
00
00
01
11
00
10
01
01
10
00
00
11
10
00
00
10
10
01
10
00
00
10
10
10
10
00
00
10
10
00
10
11
01
11
01
10
00
11
10
00
00
00
01
11
00
01
10
01
10
00
00
11
10
00
11
01
00
10
00
00
01
10
11
11
01
00
10
10
01
00
10
10
01
00
10
11
11
00
10
10
00
11
11
01
10
10
00
11
10
00
00
01
00
00
10
11
11
00
00
00
11
11
00
10
11
01
00
10
01
11
10
00
11
01
00
10
01
10
10
10
10
01
01
10
10
01
00
10
10
01
10
10
00
11
00
00
10
00
11
11
00
10
10
10
10
01
10
01
00
10
10
10
10
10
00
00
00
01
10
00
00
00
10
01
10
00
00
00
00
10
01
01
00
00
00
11
10
01
00
11
10
01
11
00
11
10
00
10
10
00
00
10
01
01
10
11
00
10
10
10
00
01
10
11
10
00
11
10
00
01
10
10
00
11
00
01
10
00
10
11
10
10
01
00
01
00
00
10
10
11
00
01
10
10
10
01
01
01
10
10
01
11
10
00
00
10
10
10
10
11
11
00
11
11
11
11
01
01
10
01
10
00
10
00
01
10
11
10
10
01
01
10
10
10
00
10
01
00
11
00
01
10
10
00
10
10
01
10
11
00
00
00
00
10
00
10
10
01
01
00
01
10
00
00
10
11
00
00
00
01
10
11
11
10
00
10
01
11
01
10
10
00
01
00
00
00
11
00
00
10
11
01
01
10
00
10
00
01
01
10
10
00
10
11
00
10
00
00
00
00
00
11
00
01
10
01
10
10
11
10
10
00
01
00
10
10
01
00
11
11
00
11
10
10
00
11
10
01
10
00
11
11
01
00
10
11
11
01
10
00
00
00
11
01
00
10
10
10
00
10
10
10
10
00
10
01
10
10
01
10
00
00
00
00
00
01
11
10
00
10
11
10
01
00
10
10
10
01
01
10
10
00
00
00
10
10
00
11
00
10
01
00
00
01
10
01
10
00
00
00
01
11
11
00
10
10
00
01
00
00
10
10
11
11
00
10
11
00
01
10
00
00
00
01
11
00
00
10
00
00
10
10
00
10
11
00
01
11
10
10
00
00
10
10
00
10
10
10
00
10
11
00
00
00
11
10
00
00
11
11
00
10
10
10
11
01
00
01
01
11
10
01
00
11
00
01
10
10
00
10
00
00
01
11
11
01
11
01
01
01
10
11
00
01
00
01
11
11
11
10
11
00
00
10
01
01
11
10
01
10
01
00
10
00
10
00
01
11
10
01
00
10
00
10
00
10
00
00
11
10
10
00
00
01
10
10
01
00
10
00
10
10
11
00
00
01
00
10
00
10
00
10
11
10
00
01
10
11
10
10
00
00
11
11
10
01
11
10
00
10
10
00
01
10
11
11
00
00
10
11
00
00
11
01
10
10
10
00
10
10
00
10
11
00
10
01
10
10
00
00
00
11
11
00
00
01
11
11
11
10
00
10
00
10
10
00
00
10
11
10
11
11
10
01
00
10
11
10
01
00
00
11
00
00
11
00
00
10
11
11
11
00
00
11
11
00
00
11
10
10
10
10
10
10
10
01
11
00
01
10
10
00
10
11
01
00
10
10
10
10
00
00
00
11
10
10
10
10
10
01
10
10
01
00
00
10
10
00
01
10
01
00
10
11
01
01
01
00
10
10
01
10
10
10
00
00
00
01
10
00
00
10
00
00
00
10
00
01
00
00
10
11
00
00
00
10
10
00
00
11
10
01
00
10
00
00
10
00
01
10
10
01
00
10
10
00
00
10
10
00
00
10
00
00
11
00
10
10
10
10
11
10
00
11
10
01
01
01
01
11
10
10
00
00
10
10
00
00
10
11
11
11
01
00
00
11
10
00
11
11
11
10
01
10
11
00
00
00
00
10
10
11
11
01
00
11
11
11
00
00
10
10
01
10
11
01
11
11
10
01
00
00
10
00
00
10
11
10
00
01
11
11
00
00
00
10
10
00
01
00
11
10
11
11
00
10
00
00
10
01
10
11
10
11
00
10
00
00
00
10
00
00
00
10
11
01
00
11
10
01
10
11
01
10
01
01
11
01
10
10
10
10
00
10
01
01
10
10
11
00
00
10
11
10
00
10
01
10
00
10
01
10
00
00
01
11
00
11
11
00
10
10
01
01
11
10
00
00
10
11
10
01
00
11
10
01
10
01
10
10
10
01
00
10
11
01
00
11
01
11
00
10
10
01
10
10
00
01
00
11
01
01
00
10
11
01
10
10
11
00
01
01
01
10
11
11
10
01
10
10
00
10
11
00
10
11
11
00
10
00
00
11
11
00
00
01
10
00
00
00
11
00
00
10
10
00
10
10
01
10
11
01
01
00
10
11
10
11
01
11
10
10
11
11
11
01
10
01
10
10
00
11
10
00
11
10
00
00
01
01
00
00
10
00
01
11
10
01
01
11
00
00
00
10
01
11
11
01
10
11
10
01
00
10
10
00
10
10
10
00
00
11
00
00
00
10
01
10
00
00
10
11
00
10
10
01
11
00
10
11
00
00
00
00
01
10
10
10
11
00
10
00
10
00
00
01
11
10
11
00
10
00
10
10
00
11
10
00
00
10
00
10
10
00
10
11
01
00
00
10
10
10
10
10
00
01
10
00
00
11
11
10
01
01
01
11
00
11
10
11
00
01
00
10
10
11
00
00
11
00
01
11
10
10
10
00
00
00
10
10
00
01
11
00
01
01
01
10
00
10
10
00
10
10
11
00
00
00
11
10
00
00
11
00
11
00
11
10
10
10
00
11
10
10
00
10
11
11
11
00
00
10
11
00
00
11
10
01
00
10
00
00
10
11
00
00
10
11
01
10
10
10
00
10
01
01
01
00
10
10
01
00
00
10
10
10
10
00
00
10
11
10
01
00
01
01
11
10
00
00
11
10
01
01
10
00
00
10
10
11
00
00
10
10
00
00
00
00
10
00
00
11
00
11
10
10
11
00
00
01
00
10
10
00
10
10
00
00
00
10
00
10
01
00
10
10
01
10
00
10
00
00
10
01
01
01
01
10
00
10
10
10
00
01
00
10
00
00
10
00
00
10
01
00
10
00
00
00
10
11
00
10
01
10
00
00
10
10
00
01
10
10
10
00
10
01
01
11
11
11
01
10
10
00
01
10
00
00
10
10
10
10
11
00
10
11
10
10
01
00
10
10
00
00
10
11
11
10
00
00
11
11
01
01
00
01
00
10
00
11
10
01
00
00
10
01
00
00
00
11
11
10
00
10
10
10
10
00
00
10
10
10
10
01
01
00
00
10
10
11
10
11
00
10
00
01
00
00
01
01
00
11
10
11
10
10
10
01
00
10
11
10
10
00
01
11
10
10
01
00
00
11
11
00
10
00
01
00
00
10
10
00
00
10
00
00
10
01
00
00
00
01
11
00
01
10
00
00
01
00
11
10
00
11
01
01
10
00
00
01
01
10
10
00
00
01
11
10
00
00
00
00
01
00
10
11
11
10
00
11
10
10
10
11
01
00
00
00
10
10
00
01
00
01
10
00
00
00
01
00
01
00
10
00
01
10
11
01
11
00
10
10
10
10
00
10
10
01
01
11
10
10
00
10
01
10
01
00
11
10
01
01
10
01
00
00
00
11
10
01
00
00
10
10
00
00
10
00
00
00
10
11
10
11
01
11
00
00
11
00
01
00
00
11
10
01
11
00
00
01
11
10
00
00
10
10
00
00
10
00
01
01
01
01
10
00
00
10
10
10
00
01
01
01
00
00
10
10
11
01
10
10
11
00
00
00
10
10
00
11
00
00
11
00
10
01
10
00
11
11
01
00
01
10
10
11
10
00
11
00
11
10
10
01
10
01
10
11
01
10
11
10
10
11
01
00
00
11
11
10
00
11
00
00
11
00
10
00
01
11
10
00
10
10
00
10
00
01
00
00
01
00
00
00
10
10
11
00
00
11
11
00
11
11
11
00
11
00
01
00
00
10
10
00
01
00
10
00
10
10
01
01
00
11
10
11
00
11
00
01
10
00
00
11
11
01
00
10
10
00
10
01
10
11
11
11
10
01
11
01
10
01
10
11
10
00
00
10
00
00
11
11
11
01
01
00
10
11
00
10
10
11
01
11
01
10
01
00
10
10
01
00
00
10
10
00
01
01
00
11
01
10
10
00
10
10
01
00
00
00
01
00
11
01
11
00
11
01
01
11
10
10
00
00
10
10
00
00
00
00
10
01
00
11
01
11
00
11
11
01
11
01
01
11
00
00
00
11
10
00
01
11
11
10
00
10
00
11
10
01
11
10
11
01
10
11
00
01
00
00
10
00
10
11
01
11
10
11
01
01
00
01
01
00
00
10
00
11
01
00
11
00
10
00
10
10
01
11
00
11
10
01
00
10
11
10
00
00
10
11
10
00
00
10
11
01
10
00
01
00
10
10
00
00
00
10
11
10
10
00
00
10
00
00
10
00
00
10
11
00
00
10
10
00
00
10
11
10
10
01
00
10
00
01
10
10
11
00
10
11
10
00
11
00
01
11
10
00
10
10
00
10
10
11
10
00
10
10
11
10
00
10
00
01
00
10
10
10
01
01
11
10
01
11
11
10
10
00
01
00
11
01
00
10
10
00
10
01
01
00
00
11
10
10
10
10
10
01
11
01
00
01
00
01
00
00
00
10
11
01
10
10
00
00
11
11
01
00
01
10
10
00
10
00
00
10
11
01
00
00
10
10
01
00
01
10
10
11
10
00
11
10
00
00
10
11
11
10
01
10
00
00
00
11
11
00
00
10
11
10
10
01
00
01
11
01
01
10
10
01
10
10
00
00
10
10
10
10
01
00
10
01
10
10
00
11
01
00
10
10
01
11
10
11
01
10
01
00
01
11
01
00
01
10
10
10
01
10
11
11
00
01
00
10
11
10
11
10
11
00
00
00
00
00
00
10
10
10
01
00
10
00
10
01
01
00
01
11
10
11
10
10
10
00
10
01
01
00
10
10
01
11
01
00
00
10
10
00
01
10
11
10
00
11
00
01
00
10
01
00
10
01
00
00
11
11
00
00
10
00
00
10
10
10
10
00
00
00
11
10
11
11
11
00
10
01
01
10
01
00
00
01
10
10
11
10
00
10
11
01
10
10
10
11
10
00
00
10
10
10
11
00
00
10
10
10
11
10
00
10
10
10
10
00
00
00
01
11
11
10
11
10
00
11
00
00
10
00
01
11
10
11
00
00
01
10
10
00
00
11
10
00
01
11
00
00
11
10
11
01
00
01
10
00
01
10
10
10
11
00
00
00
10
11
00
01
10
10
11
00
10
01
01
00
01
10
11
10
11
00
10
10
00
10
11
00
01
00
10
00
00
00
11
11
11
01
10
11
10
10
10
10
01
10
01
01
10
11
11
00
11
01
01
00
10
10
10
10
00
00
00
00
01
11
11
00
10
01
00
01
11
10
00
00
01
00
10
10
10
10
10
00
00
10
11
01
00
01
00
11
01
10
00
10
00
00
11
10
10
01
00
11
10
01
11
00
10
11
01
00
01
11
00
00
11
00
10
00
01
10
10
00
01
10
11
01
11
00
00
10
10
10
00
10
11
10
01
01
00
11
00
00
10
11
11
10
01
01
01
01
11
10
10
10
00
00
00
01
10
00
11
00
00
00
10
10
10
11
00
01
00
01
11
00
11
00
00
10
00
00
00
10
10
01
10
10
10
00
01
00
10
00
01
00
11
10
10
10
11
00
00
10
00
10
01
00
11
01
10
10
11
01
00
00
10
00
00
00
10
10
01
10
00
01
10
10
01
11
00
11
00
01
10
00
00
00
01
10
01
01
10
11
10
11
01
00
10
00
00
01
11
10
10
00
00
10
00
10
10
00
00
10
00
00
10
00
00
00
10
10
10
10
11
00
00
10
01
10
10
10
10
01
01
01
01
11
00
00
11
10
00
00
11
11
11
00
01
11
10
11
01
01
11
11
00
10
10
10
00
00
10
10
10
11
10
00
00
00
10
00
10
00
00
01
10
11
00
00
00
01
11
11
10
10
00
00
01
10
01
01
11
00
10
10
01
10
11
10
01
10
01
10
10
10
00
10
11
00
01
00
10
00
01
11
10
01
00
00
11
10
01
00
01
10
00
00
11
00
00
10
11
10
01
10
11
00
10
00
00
10
01
01
10
10
00
11
10
00
10
10
10
00
11
10
11
10
01
00
10
10
00
11
11
10
11
11
11
00
00
10
10
10
01
00
11
10
00
00
01
11
10
00
01
00
11
11
10
00
00
10
11
01
01
01
10
10
00
00
10
00
00
10
01
11
01
11
01
00
10
01
10
10
00
01
10
01
00
10
00
01
10
10
10
11
10
10
10
00
10
11
01
00
10
10
10
11
01
00
10
10
10
10
10
10
01
00
10
01
10
10
11
11
11
00
10
11
10
00
10
11
00
10
11
10
01
00
10
10
10
00
01
10
10
00
10
00
10
10
01
00
00
10
10
01
10
10
11
00
10
00
10
10
11
00
01
00
01
00
10
00
00
00
10
11
01
01
10
10
10
10
00
00
10
00
11
10
01
10
10
11
00
01
00
00
10
10
10
01
00
10
10
00
00
01
11
11
01
10
11
00
10
00
10
10
00
11
11
10
10
00
10
10
11
00
00
01
11
00
10
10
10
10
00
00
10
00
00
00
10
10
10
00
00
00
01
10
10
01
00
10
10
01
00
01
10
11
10
01
10
00
11
10
01
00
01
11
10
00
10
01
00
11
00
00
11
10
10
01
01
10
10
10
10
10
11
00
00
10
10
00
00
10
00
10
11
10
00
01
10
00
11
01
11
00
10
10
10
10
00
10
11
01
10
00
11
10
00
01
00
10
01
10
10
10
00
10
10
01
01
10
00
01
11
10
00
00
11
10
10
00
01
10
11
10
01
00
01
01
10
10
11
11
00
01
10
00
00
01
00
11
00
00
01
10
10
00
11
10
01
11
10
00
00
11
10
10
01
00
11
11
00
01
10
10
10
01
10
11
10
00
10
10
00
00
10
10
10
10
10
00
00
10
00
10
10
10
00
10
10
10
11
00
10
01
10
10
10
10
10
00
00
01
10
00
10
01
01
11
11
11
10
10
10
01
10
00
01
10
10
00
01
10
00
00
10
11
11
10
00
10
01
11
10
11
00
01
00
01
11
00
01
01
00
10
00
11
10
01
00
10
10
00
01
00
10
00
10
00
11
10
01
01
00
01
00
00
11
10
10
10
10
01
11
00
00
10
00
01
10
10
10
01
00
00
01
00
10
11
00
11
11
00
00
10
00
00
10
01
00
10
11
10
10
10
01
11
00
00
10
11
10
00
00
00
10
11
00
10
10
00
10
00
00
10
01
00
11
10
01
10
10
10
10
01
10
10
00
10
00
00
10
01
01
10
11
10
00
11
00
11
10
10
01
11
11
11
00
00
00
11
10
00
00
11
10
10
11
00
10
11
01
10
01
00
11
10
00
10
10
10
00
01
01
00
11
01
10
00
10
00
10
10
00
01
10
10
10
10
00
11
00
01
00
10
00
11
00
01
10
01
00
01
10
11
10
10
00
01
11
11
11
00
00
10
10
00
10
01
00
10
01
10
00
00
01
10
01
01
00
01
01
00
11
10
00
10
11
01
11
10
00
00
10
01
00
10
11
10
00
00
10
01
10
10
01
10
11
01
10
11
00
00
11
10
00
00
00
10
00
10
10
10
00
01
11
00
11
10
01
10
10
00
00
01
10
11
00
11
10
00
00
10
11
10
00
10
10
00
01
10
10
10
00
00
00
10
00
00
10
10
10
01
00
00
10
00
10
01
10
11
10
11
00
10
11
00
00
10
10
00
00
10
01
11
01
10
10
10
00
11
00
10
10
00
00
10
00
10
00
00
01
01
00
10
10
11
01
00
10
11
11
00
00
10
00
01
10
11
00
00
10
10
10
01
00
10
10
01
10
00
00
10
10
10
01
10
11
01
11
00
00
00
10
11
01
10
10
10
10
00
10
00
00
00
11
10
01
00
00
11
01
01
10
00
00
00
10
10
00
11
10
00
10
01
00
00
01
00
11
10
10
10
00
11
00
00
00
11
11
11
11
00
01
00
10
00
00
10
11
11
01
01
10
10
10
00
10
10
00
00
10
00
10
01
10
00
01
01
11
00
00
10
01
10
10
00
01
11
10
00
10
10
00
00
10
10
00
10
11
11
00
00
00
01
00
10
10
00
10
10
10
00
00
10
00
11
00
11
01
00
11
11
11
10
01
01
01
10
10
01
00
00
10
11
01
11
11
10
10
00
00
10
00
00
10
10
01
00
10
00
11
00
00
10
10
00
10
10
10
11
00
01
00
11
10
00
00
10
00
00
00
00
00
00
00
11
00
11
00
01
11
10
01
00
01
00
01
10
11
10
01
10
11
10
00
00
00
00
10
10
00
10
00
00
10
10
10
11
10
00
10
00
10
10
10
10
01
01
10
11
10
00
10
10
11
00
01
10
00
01
11
10
00
00
10
00
01
00
00
10
00
10
10
11
11
11
00
10
00
00
01
00
00
00
11
11
11
11
00
11
01
01
10
11
01
01
10
10
10
01
00
11
00
00
10
11
11
10
10
10
01
00
00
10
11
00
01
01
10
11
00
00
11
10
00
00
00
10
11
11
00
00
00
00
10
11
10
00
00
11
10
01
00
11
00
10
10
00
00
11
00
00
11
11
10
01
00
01
10
00
10
10
10
00
10
11
00
01
00
11
10
01
10
00
00
10
10
00
00
10
01
10
11
10
10
00
10
01
10
11
00
00
00
10
01
01
00
11
10
11
01
11
00
10
11
00
10
11
00
00
10
00
00
00
10
10
01
00
01
10
10
11
01
10
00
00
11
01
01
10
11
10
11
11
10
00
00
01
11
10
00
10
00
00
10
00
10
01
00
00
10
00
11
10
10
01
00
11
10
10
00
00
10
01
00
00
11
00
10
10
01
10
00
00
10
10
01
10
00
00
11
11
10
10
00
01
10
10
00
10
00
10
01
00
00
10
00
01
10
00
10
00
00
00
11
10
01
11
10
10
00
00
10
10
10
00
01
11
11
00
10
10
10
10
00
10
10
11
01
00
10
01
01
10
01
10
10
11
01
01
00
00
10
11
00
00
00
11
10
11
00
01
11
00
00
10
10
10
10
00
00
11
10
00
00
10
00
00
01
00
10
00
00
00
00
10
11
00
00
00
11
10
10
00
11
01
01
01
01
00
00
00
10
10
00
00
10
10
11
10
00
10
10
10
10
10
10
00
00
00
01
00
00
10
10
01
11
10
10
11
10
11
10
00
11
11
10
01
10
11
01
00
10
00
01
10
00
00
01
00
10
11
11
01
01
01
00
00
00
10
11
00
01
10
10
01
00
00
01
00
11
10
00
01
10
01
00
11
10
00
11
00
10
10
10
00
10
00
00
00
01
00
11
00
11
00
11
00
10
00
00
00
10
10
01
00
11
00
10
10
00
00
00
10
11
11
01
10
10
11
01
11
01
00
10
01
00
10
00
00
00
11
10
10
01
00
01
00
10
11
00
00
10
01
00
11
00
01
10
11
10
01
00
10
10
00
11
10
00
00
00
11
11
00
10
10
00
10
11
10
11
01
10
00
00
10
10
11
00
00
11
10
01
11
10
01
00
00
10
01
01
10
10
01
10
11
00
11
10
11
11
00
00
10
11
00
11
00
01
10
01
01
11
00
10
10
00
00
01
10
10
11
00
00
10
10
00
01
00
11
10
00
01
00
11
10
00
00
10
11
00
00
00
01
01
11
10
10
10
10
00
00
00
10
11
01
10
10
00
00
01
11
00
00
00
11
11
11
00
01
10
10
00
11
00
11
10
10
10
00
10
11
00
11
00
10
10
11
10
00
00
10
00
00
10
10
01
01
11
01
01
11
00
00
01
10
11
01
00
10
11
11
10
00
00
10
10
11
10
00
00
11
10
00
01
10
10
01
10
10
10
01
01
00
00
11
10
11
10
00
10
01
11
01
00
11
10
00
01
10
00
00
10
11
10
10
00
00
00
00
10
00
11
10
00
00
01
01
00
10
10
10
10
00
11
10
00
00
11
00
10
11
11
11
00
10
00
10
10
00
00
10
10
00
11
00
00
00
00
11
00
11
11
10
10
00
11
10
10
10
10
11
00
00
11
00
00
10
01
10
11
01
01
00
10
11
01
10
10
01
11
10
00
00
00
01
00
10
10
10
00
00
00
10
11
00
10
10
00
00
10
10
01
00
10
10
10
11
00
10
00
11
01
00
10
10
10
01
10
01
00
00
00
11
10
01
00
11
01
00
11
00
01
01
00
11
00
01
11
01
10
10
01
10
10
01
00
11
10
00
10
01
00
10
01
10
01
11
01
10
00
10
01
10
11
00
10
00
11
11
01
01
01
11
10
00
11
00
11
01
01
10
01
01
00
11
11
01
00
00
11
00
11
01
10
10
01
01
11
00
01
00
01
00
00
10
10
00
01
00
10
10
00
10
11
01
00
00
00
11
00
00
10
11
11
11
00
01
01
10
11
10
00
00
00
10
01
01
10
01
00
00
10
00
11
11
10
00
00
10
00
11
10
00
00
10
10
10
00
01
10
01
00
11
10
00
10
10
00
00
10
10
00
01
01
01
10
11
00
01
10
00
10
10
01
00
00
00
10
01
10
11
10
11
11
10
01
00
00
01
00
10
11
00
00
00
00
11
10
11
10
11
00
00
10
10
11
01
00
10
11
00
01
10
10
00
10
00
01
00
00
00
10
00
00
10
10
00
00
01
11
00
01
10
10
10
10
00
00
10
10
11
10
00
10
01
10
01
00
11
10
01
01
00
01
00
10
00
10
11
00
11
01
10
00
10
00
10
10
01
10
10
10
01
10
11
00
00
00
00
10
10
10
11
00
00
10
00
10
10
10
10
00
00
01
00
00
01
00
01
00
10
00
10
11
10
11
00
01
10
00
01
10
10
00
00
11
10
00
11
00
11
00
11
00
10
10
10
00
00
01
10
10
00
11
11
11
00
00
00
11
00
11
01
00
11
00
00
01
01
00
01
10
11
00
10
11
10
00
00
10
10
11
00
10
10
11
11
01
01
10
00
00
10
10
01
01
10
00
00
10
01
00
11
01
10
11
00
11
00
10
11
11
10
00
00
10
00
00
10
10
00
10
10
00
10
10
00
10
11
11
10
10
00
11
11
01
10
10
10
01
00
10
01
01
10
01
10
11
10
01
10
10
01
00
01
11
00
10
11
10
10
10
00
01
00
11
10
11
10
11
11
10
10
01
10
11
10
00
00
00
11
11
11
00
01
00
01
11
01
00
01
11
10
01
00
01
11
10
01
01
00
10
10
00
10
00
00
01
00
10
00
10
11
11
10
01
11
11
10
00
10
10
10
00
00
00
10
11
11
10
10
10
00
00
00
10
10
01
10
01
00
00
01
10
01
00
01
10
10
01
00
11
11
10
01
01
10
01
10
10
00
00
10
10
10
00
00
10
10
01
00
01
01
01
01
01
00
00
01
11
10
00
00
00
10
00
00
10
00
01
10
00
10
01
10
10
10
00
10
10
01
01
00
10
11
10
11
11
00
01
00
11
00
10
10
00
10
10
00
00
11
00
00
11
00
10
01
01
11
00
00
00
10
11
10
11
00
00
11
10
10
10
00
00
01
10
11
01
00
00
10
00
01
01
10
10
10
00
00
01
10
10
00
10
11
01
00
10
11
00
00
10
10
00
00
11
00
11
10
00
00
11
10
00
10
10
10
00
10
11
10
01
10
10
01
00
10
11
10
01
11
10
01
10
00
01
01
11
11
00
01
01
00
00
00
10
10
10
10
10
00
01
10
01
00
10
00
00
11
00
10
10
11
10
01
11
10
01
00
11
10
00
00
01
11
10
00
00
10
01
00
10
00
10
10
00
11
10
10
10
10
00
11
10
00
01
10
00
10
11
10
01
10
11
00
01
10
00
11
01
00
00
00
11
00
00
00
11
10
01
11
10
11
00
00
11
11
00
11
00
01
10
10
01
00
00
11
10
00
11
10
10
10
01
11
00
00
00
10
10
00
00
11
11
01
10
00
00
00
00
00
10
10
00
10
00
00
10
00
10
00
10
01
10
10
10
11
00
01
10
00
10
10
10
01
00
11
00
00
11
10
10
10
00
00
00
10
10
11
01
00
11
11
10
00
00
10
11
10
01
11
10
10
10
10
00
00
10
00
01
10
00
01
11
10
11
00
00
11
11
01
00
01
10
00
10
11
00
00
00
11
10
11
00
00
10
01
11
10
00
00
01
11
00
00
10
10
01
10
01
01
00
00
10
01
01
10
01
00
10
10
00
10
00
01
10
10
00
10
10
00
01
11
10
01
11
10
10
11
01
01
10
00
00
01
00
10
10
00
01
00
11
10
11
00
01
10
00
10
10
11
00
10
01
01
00
01
01
10
10
11
11
11
10
00
01
00
10
01
11
01
10
11
01
11
11
00
10
11
00
10
00
00
00
01
10
01
10
11
00
11
01
01
11
10
00
00
01
10
10
00
01
00
00
00
11
00
10
01
10
11
00
00
10
10
00
10
01
00
01
00
00
00
10
00
00
00
11
00
00
10
10
00
01
11
11
10
00
11
10
01
10
10
01
00
00
11
10
10
00
00
00
10
01
00
11
10
10
01
01
00
01
11
00
00
10
11
10
00
11
00
00
10
10
01
00
11
00
10
10
01
00
10
00
10
11
00
01
10
00
00
11
10
00
10
11
00
00
10
10
00
00
01
11
10
10
10
11
10
01
00
00
00
10
11
10
01
00
00
11
00
10
10
01
00
10
10
00
01
00
00
10
01
00
11
10
00
10
11
00
10
10
00
00
10
01
00
00
01
01
10
00
10
01
00
11
11
10
00
10
10
01
10
00
10
00
00
10
10
00
01
11
10
00
00
10
00
00
00
10
00
11
11
10
10
10
01
00
11
10
10
10
00
00
11
01
00
11
10
11
01
00
00
11
10
00
00
11
01
00
00
01
10
00
10
10
00
11
00
00
10
10
00
11
11
01
00
10
00
00
10
00
01
11
10
01
00
00
10
11
00
01
01
10
00
10
01
10
11
01
10
00
10
10
00
01
10
10
01
00
00
10
11
10
00
00
10
11
00
00
00
10
10
11
01
01
01
10
11
10
11
01
01
10
00
10
10
00
00
10
10
10
00
00
00
00
00
10
11
00
01
10
00
10
00
10
00
10
10
10
00
01
00
00
01
00
10
10
10
00
01
00
11
01
10
01
00
00
01
01
11
11
10
00
01
00
00
00
11
10
01
00
10
00
00
01
00
10
10
11
10
01
00
00
01
00
11
01
01
10
10
01
00
00
10
01
00
00
01
10
00
01
10
01
10
00
11
10
00
11
01
00
10
01
00
00
00
11
11
00
00
00
10
10
11
01
11
11
00
11
10
10
00
11
11
00
10
10
11
10
10
01
00
10
10
10
10
11
00
00
00
10
10
00
00
01
00
10
11
01
10
11
10
10
10
11
00
01
10
00
11
10
01
01
10
11
00
00
00
10
10
00
11
10
10
11
10
00
11
00
00
10
00
11
10
01
00
00
10
01
00
10
01
00
11
11
01
10
00
00
10
01
00
10
10
01
10
00
00
11
01
00
00
00
00
01
10
00
00
10
10
00
11
00
00
10
00
00
11
11
10
00
10
00
10
10
00
10
00
10
01
00
00
01
10
00
01
11
00
00
10
00
10
00
11
00
11
11
10
00
00
11
00
10
10
00
00
10
00
10
10
00
10
10
00
00
11
11
00
00
00
11
00
10
11
01
00
10
00
00
00
00
10
11
11
00
11
10
00
01
00
11
01
00
10
00
01
10
00
01
10
11
10
00
00
00
00
11
10
01
11
11
10
11
00
10
10
00
01
00
11
11
10
00
11
00
10
00
01
11
10
00
00
00
10
11
01
00
00
00
00
10
01
00
10
10
10
11
00
00
10
00
00
10
00
01
10
00
10
00
10
11
10
01
00
01
10
01
10
11
10
10
00
00
00
11
11
01
01
11
00
10
00
10
11
00
01
10
11
10
00
01
10
11
00
11
10
00
00
00
01
10
00
00
10
10
10
00
10
10
00
10
10
00
10
10
00
10
10
00
11
10
01
11
10
10
11
00
00
11
01
01
00
00
10
00
00
10
10
00
11
10
10
00
10
10
00
00
10
01
01
01
11
10
01
11
10
11
01
00
10
10
00
10
00
00
00
11
00
00
10
10
01
01
11
01
10
00
00
01
10
10
10
00
10
00
10
10
00
00
10
11
10
10
01
01
01
00
10
00
10
10
01
10
11
11
00
00
11
10
00
00
11
00
00
00
00
10
01
10
10
00
10
00
00
01
00
10
00
11
00
10
10
00
01
00
10
00
00
10
11
10
00
10
11
00
00
10
10
00
00
10
11
11
00
00
11
10
00
10
00
00
01
00
11
10
10
10
00
01
10
00
00
00
10
10
10
11
01
11
11
00
00
10
01
10
00
01
10
00
00
01
10
00
10
11
00
11
01
00
10
10
10
11
10
00
11
11
11
10
00
01
00
10
01
00
10
01
11
11
00
11
10
00
00
10
10
00
01
10
00
00
00
00
10
11
00
10
01
00
11
10
10
10
01
00
00
00
10
00
11
10
01
10
11
00
00
10
10
01
00
10
10
01
00
10
01
10
11
10
10
00
00
00
00
10
10
11
00
01
10
00
10
10
11
01
10
10
00
10
00
11
00
00
11
10
00
10
10
10
00
10
00
10
10
11
10
01
00
01
00
10
10
01
00
11
11
00
00
11
00
10
00
00
11
00
11
10
00
11
10
00
00
00
11
00
01
11
10
00
00
00
10
10
01
00
11
10
01
01
00
00
10
10
10
00
01
11
11
00
00
00
11
10
00
01
10
00
10
00
01
10
01
00
10
11
11
11
01
11
10
11
00
10
11
00
00
00
11
10
11
11
00
01
01
00
00
11
10
11
00
00
10
00
00
00
11
11
00
00
11
11
00
00
10
00
10
10
00
00
00
10
01
10
01
00
11
10
10
00
10
10
01
00
01
01
01
10
10
11
10
01
00
10
00
01
10
00
00
00
10
10
01
00
10
00
10
10
10
01
00
11
11
01
10
00
00
10
10
00
01
10
10
00
00
01
01
01
00
10
10
00
10
00
10
10
00
00
00
00
00
11
00
10
00
01
00
10
11
10
10
01
01
00
11
00
00
11
01
10
10
11
11
00
00
01
00
00
01
01
00
10
11
11
11
00
00
10
10
00
00
00
10
11
00
11
11
10
00
00
10
11
00
00
00
00
10
01
10
10
00
10
00
00
10
10
00
01
10
10
10
00
10
11
11
11
11
00
11
00
10
11
01
01
01
10
00
00
11
00
10
11
00
01
10
00
10
01
00
10
00
00
00
11
11
10
10
10
00
01
00
11
10
00
00
01
10
00
10
11
00
00
01
10
10
00
10
00
00
11
10
00
00
01
00
10
10
10
11
10
01
11
10
10
01
01
10
10
01
01
10
11
00
00
00
11
10
11
00
00
00
00
00
10
01
00
10
00
11
00
11
10
10
00
00
00
11
10
01
11
00
10
00
00
00
11
10
10
00
11
01
10
00
00
00
10
00
11
11
00
01
00
11
00
10
10
00
11
10
00
00
10
00
00
00
11
10
10
01
01
00
01
11
10
00
00
01
10
10
00
10
10
00
11
10
00
00
10
10
00
01
10
10
01
01
10
10
01
11
00
01
11
10
11
01
01
10
10
00
10
11
01
11
11
10
10
00
01
00
00
10
10
00
10
10
10
01
00
00
10
00
11
11
10
11
00
11
10
10
01
00
00
10
01
10
11
11
00
10
11
00
00
00
10
00
00
10
10
10
10
01
00
10
10
01
01
01
01
10
10
00
11
00
01
10
10
10
00
10
10
10
01
00
10
11
00
10
01
00
00
11
11
10
10
01
01
00
00
10
00
01
01
11
11
00
00
10
00
00
01
00
10
00
11
11
00
10
11
10
10
10
00
00
10
00
01
01
11
00
00
10
01
11
10
00
00
01
10
10
10
11
01
10
00
01
10
00
01
11
00
10
01
01
10
10
10
01
10
01
01
10
10
01
10
11
10
00
10
10
01
11
01
01
10
11
10
10
11
01
01
10
10
01
11
00
00
10
11
11
00
00
00
10
00
00
10
00
00
10
00
11
00
10
10
00
10
00
11
00
00
10
10
11
00
10
01
00
11
01
01
01
00
00
00
10
10
11
00
01
10
11
10
00
00
01
10
10
11
11
00
10
00
00
00
10
10
00
10
00
11
10
00
01
00
00
00
10
10
10
01
01
01
10
10
10
11
10
00
00
00
11
10
10
10
00
00
11
10
11
01
00
10
01
01
00
00
10
10
00
00
00
00
10
11
10
00
10
11
10
01
01
10
10
00
01
11
10
00
10
00
11
11
01
11
11
11
11
10
00
00
11
10
01
01
10
10
00
00
11
10
01
01
11
11
01
10
00
01
01
10
00
01
10
01
10
11
00
00
10
11
00
01
10
11
00
01
00
10
10
00
01
11
11
00
11
10
00
00
10
01
00
10
00
10
00
10
11
10
10
00
10
00
10
10
11
10
11
00
10
10
00
00
11
00
00
10
10
10
01
10
10
00
01
10
11
00
01
00
00
00
10
00
11
10
01
00
11
00
11
11
11
11
00
11
11
11
01
00
10
10
10
10
00
00
10
00
10
10
11
10
00
00
11
01
10
11
01
11
10
00
00
10
00
01
10
11
10
11
10
11
10
01
00
01
11
10
00
00
10
11
00
00
11
01
11
01
10
10
00
00
10
10
01
00
01
10
11
11
00
10
11
01
00
01
11
10
00
11
00
01
00
10
11
10
00
01
00
10
01
01
10
10
10
11
11
10
11
00
00
10
00
10
10
00
00
00
01
11
11
00
00
10
11
10
10
01
01
11
00
10
10
01
10
10
01
00
10
11
11
00
10
10
01
00
10
00
10
11
01
10
10
00
01
00
01
11
11
10
11
11
01
01
01
10
01
00
10
00
00
10
11
11
00
10
11
01
01
10
10
10
10
00
00
10
10
10
00
11
10
01
10
01
00
10
00
01
10
10
11
01
10
00
10
11
10
00
00
00
10
10
10
00
00
00
00
11
10
10
00
10
00
10
10
11
11
01
00
10
10
00
00
01
10
01
00
10
10
00
00
10
10
10
00
00
11
10
10
00
00
00
01
00
10
10
00
00
01
11
10
00
11
10
10
10
00
00
10
00
10
01
00
01
01
11
01
00
11
01
00
00
10
10
00
01
10
10
11
00
01
00
11
10
10
10
00
01
11
10
00
01
10
00
10
01
00
10
11
00
00
10
00
11
00
00
10
10
10
10
01
00
01
00
10
10
10
10
00
10
10
01
10
00
10
10
01
00
11
00
01
00
00
01
10
01
00
00
11
10
10
00
01
11
10
11
00
00
10
10
10
11
01
01
10
10
00
00
00
11
10
00
00
10
00
00
10
10
11
10
10
11
00
00
00
11
11
00
01
01
00
10
00
11
10
10
00
00
01
01
11
11
10
10
01
10
10
01
00
01
10
10
01
01
00
11
00
10
00
11
10
00
10
11
00
01
00
01
00
10
00
10
10
10
10
00
10
10
01
10
10
01
10
11
01
10
01
00
00
10
00
00
10
10
01
10
10
10
00
11
10
10
01
01
11
00
10
01
00
00
01
00
10
01
01
10
00
10
10
11
00
10
10
00
00
01
01
10
11
00
01
10
00
00
11
10
01
10
10
10
11
00
10
11
01
11
10
00
01
10
10
01
10
11
11
10
00
00
11
10
01
00
10
10
10
00
01
10
00
01
10
10
10
10
10
01
01
11
10
00
00
11
10
01
00
11
00
01
01
11
11
11
10
00
00
11
10
01
00
11
01
01
00
01
00
10
01
00
10
01
11
11
00
10
00
11
01
00
01
10
10
00
01
10
00
00
11
00
00
10
10
00
11
00
01
10
10
10
00
00
10
10
01
00
10
00
00
00
11
10
01
10
10
00
00
00
11
10
00
10
00
01
11
00
10
00
11
10
00
10
10
11
00
00
00
00
10
11
10
01
10
01
10
11
00
00
11
10
10
10
00
00
10
00
00
11
11
00
01
10
10
10
00
00
10
11
01
01
10
10
00
01
10
10
11
00
00
01
10
00
11
00
00
11
01
10
00
01
11
00
00
00
10
10
00
00
10
11
00
00
11
10
11
00
11
11
11
11
01
10
10
11
10
00
00
01
11
00
11
10
00
00
00
10
00
10
10
00
00
11
10
11
10
10
11
00
01
11
10
00
11
00
00
10
00
01
10
01
10
11
00
00
01
01
00
11
10
00
00
10
00
00
00
11
01
00
10
11
00
10
10
01
00
00
11
10
00
01
10
00
00
10
01
01
10
00
11
11
10
10
01
00
10
01
00
11
10
10
00
00
01
10
00
01
01
10
10
10
10
00
00
10
00
11
00
00
10
10
10
00
00
00
10
10
11
10
00
01
10
00
00
00
01
00
00
10
10
10
00
01
10
01
10
10
01
10
11
10
10
00
11
01
00
10
00
10
10
10
11
00
00
10
10
10
10
10
00
10
00
11
00
00
00
10
01
01
10
00
00
10
10
01
01
10
11
00
10
10
00
01
11
11
10
10
00
01
10
00
00
10
11
00
11
00
11
10
00
00
10
00
00
00
10
11
10
01
00
10
11
01
10
00
11
10
01
01
10
11
01
10
10
00
00
00
00
10
01
00
00
10
00
10
00
10
00
10
10
11
11
11
01
01
10
00
10
01
00
11
10
00
11
10
11
00
01
10
01
01
10
11
00
00
10
10
01
10
10
00
11
11
10
11
01
11
01
00
11
00
11
10
01
10
00
01
10
01
10
00
01
11
01
10
01
01
11
00
00
10
10
00
00
00
10
10
00
10
01
01
11
11
10
00
10
00
11
01
01
10
00
10
10
01
00
10
10
01
10
01
01
01
10
01
00
11
00
10
00
01
10
11
10
10
10
11
00
00
10
11
10
00
11
00
00
11
10
10
00
01
10
01
11
11
01
00
11
10
10
01
01
01
00
10
11
11
00
11
00
00
00
10
10
00
10
10
11
00
00
01
01
00
10
10
10
00
10
10
00
10
10
10
10
10
10
11
00
10
01
10
00
00
11
00
01
00
10
00
00
00
11
00
11
10
01
10
11
11
01
10
10
11
10
10
01
10
10
10
00
00
10
00
00
00
10
10
10
10
00
01
00
00
10
01
10
00
00
11
10
10
01
10
11
01
01
00
10
11
00
10
01
01
10
10
11
00
11
00
00
10
10
01
10
01
01
00
10
10
00
10
00
01
00
10
11
11
10
01
00
10
10
00
01
00
10
10
00
10
00
01
00
10
10
10
01
11
00
00
01
11
11
10
00
01
10
11
01
11
01
11
10
01
11
10
11
00
00
11
01
00
00
10
11
00
00
10
10
00
00
00
10
10
00
00
01
00
10
11
11
00
01
00
10
10
11
10
11
01
10
10
00
11
00
11
10
00
10
10
00
00
10
11
00
10
00
00
11
00
10
11
00
00
11
10
00
11
11
00
00
10
00
10
11
00
10
11
01
10
10
10
00
00
00
11
01
10
11
00
10
00
00
01
10
00
01
10
10
10
10
10
00
00
00
00
10
00
10
10
00
00
00
10
10
10
10
11
00
10
10
01
11
10
10
01
10
10
10
10
11
00
01
01
00
11
00
01
00
10
11
10
00
01
00
10
00
00
00
11
10
10
01
00
01
10
10
00
00
00
10
11
10
00
00
00
00
01
10
00
00
01
11
10
11
00
10
01
00
00
10
00
11
11
10
10
00
10
00
11
00
00
11
11
00
00
10
11
10
00
01
10
10
10
00
01
00
00
11
11
10
10
00
00
10
00
10
10
10
01
11
10
10
00
00
10
01
00
10
11
11
01
00
01
11
00
10
10
00
00
10
10
01
01
11
11
00
01
11
10
01
11
10
01
11
00
00
10
10
01
11
11
10
00
00
01
10
10
01
00
00
00
10
10
10
00
01
10
10
11
00
00
10
10
11
00
00
10
10
10
11
10
01
10
11
10
11
11
00
00
00
01
10
00
11
10
01
10
11
01
00
01
00
00
10
00
01
11
11
01
10
01
01
10
11
11
00
01
10
10
00
00
00
10
10
01
00
11
10
00
01
10
11
00
11
10
10
00
10
01
00
11
11
00
00
00
00
10
00
00
11
10
00
00
10
11
10
01
01
00
01
00
11
10
00
01
00
00
10
10
01
10
10
10
00
10
00
10
10
10
00
00
00
11
11
00
10
01
01
01
01
10
10
11
10
01
00
11
00
00
10
00
10
10
00
10
01
00
10
10
00
10
01
10
10
00
01
00
10
11
10
10
10
00
00
00
01
10
11
01
00
10
10
01
00
10
00
00
10
01
10
11
11
00
10
10
00
10
01
10
00
00
11
01
00
10
00
00
11
10
10
00
10
00
00
11
10
10
11
11
00
00
10
10
00
10
00
10
11
11
01
01
01
10
00
00
10
10
01
01
10
00
01
10
00
01
10
00
00
01
00
11
10
11
01
01
10
10
00
10
10
01
10
00
11
00
00
00
00
00
10
11
11
10
01
11
11
01
11
01
10
11
01
00
11
11
00
10
10
11
00
00
10
01
11
01
00
00
11
10
00
10
00
11
10
01
01
00
10
10
10
00
11
11
10
00
01
11
11
11
00
01
00
00
11
10
00
10
10
10
10
00
10
10
10
00
10
01
11
00
01
10
00
11
00
11
11
10
00
11
00
10
00
00
10
00
11
01
11
11
11
00
10
10
01
10
00
00
10
10
01
10
11
10
10
00
10
10
01
00
00
10
11
10
11
10
10
10
01
00
00
00
10
11
01
00
01
00
10
01
11
10
10
00
01
10
00
00
10
00
01
10
10
00
11
10
10
00
00
00
11
10
10
10
00
10
11
00
01
10
10
10
01
00
01
00
10
01
00
11
00
10
00
11
00
11
10
10
10
00
00
00
11
00
10
10
11
01
00
11
01
11
10
00
00
11
10
01
11
00
10
00
00
11
01
01
11
11
10
01
10
10
01
01
10
01
01
11
10
10
01
01
01
10
00
00
01
00
00
11
10
10
00
10
00
00
10
11
10
10
10
00
11
00
10
10
11
00
11
01
10
11
00
01
11
10
00
01
10
10
11
00
10
00
00
00
10
00
00
11
10
01
11
10
11
10
01
10
00
00
10
11
01
00
10
10
11
10
11
01
11
00
01
10
10
00
01
10
10
00
00
00
10
11
01
10
10
00
11
10
00
10
11
10
10
00
00
01
10
10
00
01
00
10
00
10
10
01
01
01
10
01
00
00
10
11
10
10
00
00
01
11
10
11
00
01
00
01
10
11
00
00
00
01
00
10
10
00
00
10
10
11
00
00
00
00
00
10
10
11
00
00
11
00
01
01
00
00
10
10
01
00
10
11
00
01
00
11
10
00
01
11
10
00
00
00
01
10
10
00
00
01
10
00
10
10
00
00
00
01
01
01
10
00
10
10
00
10
10
01
11
11
00
00
10
10
00
10
11
00
01
10
00
00
10
10
11
10
00
00
00
00
10
10
01
10
10
10
00
00
10
01
00
11
00
10
01
00
10
11
00
00
11
10
11
00
00
00
10
11
00
10
10
00
10
00
00
10
10
11
11
00
00
11
00
11
00
10
00
11
11
10
00
00
01
10
10
00
10
10
10
11
01
00
11
10
00
01
00
10
00
00
11
00
01
10
10
00
10
10
00
00
10
00
11
10
10
00
00
00
00
00
00
01
00
01
00
10
10
00
00
00
01
10
01
01
10
10
11
10
11
10
01
00
10
00
00
11
10
01
00
00
10
10
00
11
10
00
10
01
11
11
00
00
01
10
00
11
00
00
10
10
01
00
00
11
11
00
01
10
11
10
10
00
00
10
10
01
00
00
10
10
10
11
00
01
10
11
00
10
10
00
00
11
01
01
01
11
11
00
00
00
01
11
10
01
00
11
00
00
01
10
00
00
10
00
10
11
10
00
11
01
00
10
01
10
01
00
11
10
01
00
00
00
10
01
10
01
10
00
00
01
10
00
01
00
11
00
00
00
10
10
01
00
10
10
01
10
00
00
00
11
10
01
11
00
11
01
10
10
10
00
10
11
00
00
01
00
10
00
00
11
01
01
10
11
00
11
10
00
00
10
00
00
01
10
11
10
00
10
01
01
10
10
01
10
10
01
10
01
01
01
10
00
01
00
00
10
00
00
11
11
00
00
11
10
10
10
11
01
00
11
11
00
01
00
00
11
10
01
00
00
11
01
11
00
11
10
00
00
01
10
10
01
00
11
10
00
10
00
01
00
10
11
10
10
00
00
00
00
10
10
10
00
10
10
00
01
10
11
10
10
00
10
10
00
10
10
01
01
10
11
10
01
01
00
11
00
00
10
01
01
10
10
01
00
10
11
00
00
11
01
10
00
00
10
10
10
10
01
00
01
00
10
01
01
11
10
00
00
01
10
10
10
00
00
00
01
01
01
00
10
00
11
01
00
01
10
10
01
11
00
10
00
00
11
10
01
00
10
11
11
10
10
10
10
00
01
00
10
00
00
11
01
10
10
11
00
10
10
00
00
11
10
00
00
11
10
11
10
00
00
10
10
00
11
10
11
01
00
00
01
11
00
10
10
11
00
10
10
00
00
10
00
00
10
10
10
11
11
10
11
10
00
00
01
01
11
11
10
10
10
01
10
00
00
10
01
01
01
10
11
11
00
10
00
00
11
10
00
00
00
11
00
10
00
01
01
00
00
10
01
01
00
10
10
00
00
11
00
01
00
10
11
10
10
10
10
00
11
11
11
01
10
10
00
10
00
00
10
11
00
11
10
00
01
10
00
01
01
10
10
00
10
10
00
00
01
10
10
11
01
01
00
01
10
10
11
00
00
10
10
11
00
10
10
01
11
01
01
10
11
00
10
00
00
11
10
01
01
00
11
10
11
00
11
10
11
00
01
11
11
00
00
10
10
10
10
00
00
11
10
01
10
10
00
00
10
10
11
00
10
00
00
00
10
00
00
10
00
01
00
11
10
11
00
10
10
10
01
01
10
11
11
00
00
10
10
00
00
10
11
01
01
01
00
01
10
00
10
10
00
01
00
10
01
01
00
10
01
01
00
00
10
10
10
00
10
11
00
10
11
00
10
10
00
00
01
10
10
10
01
10
11
00
11
00
00
11
10
01
00
00
10
10
00
01
00
10
00
00
10
00
00
11
10
01
00
11
10
01
00
11
11
10
11
00
01
10
11
01
01
11
11
10
01
10
10
00
10
10
01
00
10
00
11
01
01
11
10
11
11
00
00
01
10
10
01
00
00
11
00
10
10
00
11
10
01
00
00
00
10
11
00
01
10
01
01
01
11
10
11
00
11
10
00
10
00
10
10
00
11
01
10
00
00
01
00
00
01
10
10
11
00
10
00
11
11
11
01
00
00
11
00
10
01
00
10
01
10
10
00
00
10
10
00
00
10
10
00
11
10
00
01
10
11
01
00
11
00
00
11
11
01
11
10
00
00
10
00
10
10
00
10
11
00
10
00
00
10
00
10
00
10
10
01
00
01
00
11
00
11
10
11
01
00
10
10
01
01
10
10
11
01
10
01
00
11
00
10
10
01
00
10
10
00
10
11
10
11
10
00
10
10
10
01
00
00
11
11
11
01
10
11
10
11
00
11
10
10
01
00
00
00
00
11
01
00
00
00
10
00
00
10
01
11
01
00
00
10
00
01
10
10
10
10
01
00
10
01
10
01
00
11
10
10
11
00
11
11
00
01
00
00
01
00
00
01
10
10
10
10
01
00
10
10
01
00
00
00
10
00
11
00
00
00
00
10
11
11
00
00
00
10
00
00
00
10
11
00
10
00
10
11
00
00
00
11
11
00
10
10
11
01
00
00
11
10
10
10
11
01
01
10
00
10
01
10
00
00
10
00
01
00
10
01
10
10
00
00
10
01
01
11
01
00
00
00
11
11
11
00
00
10
00
10
10
11
01
00
10
10
00
11
10
11
11
00
01
10
00
00
11
01
10
01
00
00
00
01
10
00
00
00
11
11
01
10
01
00
10
10
01
11
10
00
10
10
01
10
01
10
00
00
01
10
10
00
00
01
01
01
00
00
00
00
00
11
11
00
00
00
10
10
11
01
01
11
10
00
00
00
11
01
00
11
00
10
10
10
10
00
01
10
11
11
00
10
00
10
10
11
00
10
10
00
10
00
10
00
10
11
11
10
01
00
00
00
10
00
10
10
00
10
00
00
10
00
10
10
11
10
10
10
10
00
10
10
01
11
11
11
01
11
01
00
00
11
10
00
10
11
00
11
00
11
11
01
00
01
10
11
00
01
10
00
11
10
11
00
11
11
00
00
10
01
00
01
10
11
00
01
01
01
01
00
11
11
10
11
00
00
10
11
01
01
10
00
10
00
10
11
10
01
10
01
00
01
11
11
10
01
00
10
00
10
00
00
10
10
10
01
10
11
00
10
10
00
10
00
11
11
00
11
00
10
10
00
10
00
00
10
10
00
10
10
00
10
10
11
10
00
00
10
11
01
10
10
00
00
10
00
00
10
10
10
00
10
10
00
10
10
11
01
01
11
11
00
01
10
01
01
10
11
10
00
01
10
10
00
00
11
10
00
10
10
10
10
10
01
10
00
00
01
10
10
11
01
00
01
01
10
11
00
00
11
10
11
11
00
00
01
11
01
11
10
10
01
11
11
11
00
00
10
10
00
00
10
00
01
10
10
00
00
01
11
11
00
11
01
00
10
00
11
10
00
11
01
00
11
11
00
00
01
10
10
11
10
01
00
01
00
00
11
00
10
10
10
10
01
00
00
10
10
11
11
00
00
10
10
10
00
10
00
10
11
11
00
10
11
00
11
11
01
01
00
10
10
01
00
00
10
00
00
01
10
10
01
10
00
00
00
11
10
00
00
10
11
10
01
10
11
10
01
11
10
00
01
11
10
10
10
00
00
11
10
10
01
10
10
00
00
00
10
11
00
10
11
00
10
01
00
11
10
00
00
01
10
00
01
10
10
11
01
10
10
00
00
00
01
00
11
01
00
10
00
10
00
00
01
10
11
01
00
00
11
11
01
00
10
00
00
10
00
00
11
10
10
10
10
01
10
00
01
00
11
01
10
11
01
01
11
01
00
11
10
00
10
10
00
10
00
00
01
11
01
00
00
11
01
11
10
11
11
01
00
00
11
11
10
00
01
10
10
00
10
10
10
01
00
01
10
00
00
00
10
10
10
00
00
10
00
10
00
10
10
11
11
10
11
01
11
10
01
00
11
10
01
10
11
10
01
00
10
10
00
00
01
01
10
00
10
11
10
10
01
11
11
10
10
11
00
10
01
00
01
11
10
10
00
00
11
10
00
01
10
00
00
11
10
10
10
10
00
00
01
00
10
00
00
00
10
01
01
11
10
10
10
01
01
01
00
11
00
00
00
10
00
00
10
10
11
10
00
00
00
00
11
00
00
01
00
00
10
01
10
00
00
11
10
10
01
00
10
11
01
00
01
10
10
10
01
10
01
00
01
00
00
10
10
00
00
10
10
11
10
01
10
11
11
00
11
01
11
11
10
01
00
01
11
11
00
01
00
00
00
11
10
01
00
00
10
00
10
00
00
10
10
00
10
10
01
00
11
00
11
00
10
00
10
11
00
10
10
01
00
00
10
11
00
00
10
10
00
01
10
10
00
01
10
10
11
00
00
00
10
11
10
01
10
11
10
00
10
11
01
00
00
10
00
00
11
00
01
11
10
10
11
11
10
11
00
00
00
11
10
11
10
00
00
00
10
11
10
01
01
10
10
00
10
00
00
10
11
00
00
00
10
00
00
01
00
10
00
00
01
00
10
00
00
00
10
10
10
00
00
00
00
10
10
10
11
00
10
00
00
00
00
11
11
00
10
10
00
11
00
00
10
10
10
10
01
01
11
10
00
00
00
10
10
11
00
11
10
11
00
01
10
10
01
00
10
10
00
00
10
10
10
10
01
10
00
10
10
10
00
00
11
00
01
01
10
11
00
00
10
00
00
01
00
11
10
00
00
11
10
01
11
10
10
01
11
00
10
10
01
10
00
00
01
11
01
01
10
10
11
00
00
10
11
00
10
00
00
00
00
00
10
01
01
10
10
00
10
10
10
00
10
00
00
10
10
00
00
01
11
00
10
00
10
01
10
10
00
01
10
01
10
10
01
01
01
01
11
11
00
01
11
11
00
00
10
10
00
10
10
01
00
10
00
01
10
01
00
10
00
01
10
00
11
11
01
00
00
10
10
01
11
01
01
11
00
00
00
10
10
01
00
11
10
00
10
00
11
10
01
00
11
10
01
00
00
10
10
01
00
10
10
01
10
01
11
00
00
10
01
10
11
00
00
11
11
01
10
10
00
00
10
10
11
00
10
01
00
00
10
11
01
01
10
00
10
00
01
11
01
00
11
00
00
10
10
01
11
01
10
11
11
10
01
00
11
11
01
10
00
10
11
00
01
11
01
10
11
00
11
10
01
00
10
10
00
00
10
10
01
00
00
10
01
10
10
00
10
10
00
00
10
01
11
10
00
00
00
00
11
10
00
01
11
01
10
10
10
00
01
11
10
01
00
10
00
10
10
01
10
10
00
00
00
01
10
11
10
01
11
00
00
11
00
01
11
10
10
00
00
10
00
01
10
10
01
00
00
10
10
00
01
10
11
10
10
10
11
10
10
00
01
10
11
10
10
10
00
01
10
01
01
10
00
00
00
10
10
10
00
11
10
00
00
10
10
00
00
00
11
10
10
10
00
00
10
00
01
00
01
11
10
10
01
01
10
10
00
10
10
00
10
01
00
10
10
01
11
01
11
00
00
00
10
10
11
01
00
10
00
11
11
00
00
00
10
00
00
11
10
10
01
10
10
10
01
01
01
00
10
00
01
00
00
01
11
11
00
00
00
00
00
01
11
10
10
11
00
00
01
01
10
10
00
11
00
10
11
00
01
00
10
00
11
10
01
10
10
11
00
00
01
10
11
11
10
00
10
10
11
01
00
00
10
10
11
11
00
00
11
11
10
01
00
10
00
00
11
00
10
11
10
10
01
11
10
10
00
00
10
00
10
11
01
00
01
10
00
01
11
01
00
00
10
00
00
01
00
11
10
11
01
10
11
00
00
10
10
01
10
11
01
00
11
10
00
00
00
10
01
10
10
00
01
00
11
10
01
00
00
00
00
10
11
00
01
01
00
11
10
10
01
00
11
00
00
00
10
10
01
01
10
11
00
00
10
10
01
10
10
00
11
00
00
10
10
11
00
00
01
11
01
01
00
00
11
10
10
11
00
00
00
10
11
10
10
10
11
10
11
10
00
01
10
11
10
10
10
01
00
00
00
00
11
11
11
00
01
11
00
11
11
10
00
01
00
00
11
11
10
00
00
11
10
01
00
10
00
00
11
11
10
10
00
10
10
00
10
10
10
10
10
00
00
11
01
01
00
01
00
10
01
10
10
00
10
10
01
10
11
10
10
10
10
10
10
01
01
00
10
00
11
10
00
00
00
10
01
00
11
11
11
10
00
00
11
10
00
10
10
00
00
00
00
10
00
10
00
11
00
00
10
10
11
10
10
10
10
01
10
01
01
00
10
01
00
10
01
01
00
00
11
10
00
10
01
10
10
00
11
10
11
10
00
00
01
00
10
10
10
10
00
11
00
00
10
00
00
10
10
11
11
01
11
10
01
11
00
10
00
00
10
00
00
10
10
00
01
10
10
01
10
10
10
10
00
10
10
00
11
00
00
11
10
00
01
11
11
00
11
01
10
10
01
10
01
01
11
00
00
00
10
00
00
10
10
10
00
10
10
10
00
01
00
01
10
00
11
00
11
10
00
11
01
00
10
01
00
00
10
00
10
10
11
00
11
00
10
01
00
10
10
10
01
11
10
10
10
00
00
11
10
10
11
00
00
10
00
00
01
11
01
10
10
10
10
10
00
11
10
00
00
00
01
10
10
10
10
00
10
11
00
11
00
01
11
00
10
10
00
01
10
10
11
10
01
11
01
11
01
00
10
00
00
00
10
10
10
10
11
11
10
01
00
00
00
00
10
10
10
00
00
11
10
00
00
00
11
01
10
11
00
01
00
00
00
11
11
01
11
11
00
00
01
00
10
00
00
11
00
00
10
10
01
11
11
01
00
00
10
00
01
11
11
10
00
10
00
10
11
00
00
11
10
00
00
10
01
00
10
00
00
10
10
01
00
00
10
10
00
10
11
10
00
00
11
10
00
00
10
11
10
11
00
00
00
01
00
10
11
00
10
00
00
01
01
00
00
10
00
10
11
01
10
10
00
10
00
11
00
10
10
10
10
00
00
00
00
10
00
11
00
01
10
11
10
10
00
00
10
00
10
00
10
11
11
11
11
00
11
10
00
00
00
10
11
00
00
11
10
10
10
01
10
00
00
01
10
10
00
10
10
10
11
00
11
11
00
10
10
00
10
10
00
10
00
10
10
11
01
11
10
00
10
10
10
00
01
11
11
11
10
10
00
01
10
11
00
01
11
00
00
00
10
11
01
00
00
10
01
01
10
00
10
10
00
10
11
11
00
10
11
00
11
10
00
01
00
10
00
00
11
01
00
10
01
11
10
10
01
00
00
11
10
00
11
10
01
10
00
00
01
10
00
01
11
00
10
00
00
01
00
11
11
01
10
01
10
10
01
00
00
10
00
00
01
00
11
10
00
10
10
01
10
01
00
10
11
10
00
00
10
10
01
01
10
11
01
00
01
11
00
00
10
11
00
00
11
00
01
01
10
00
10
10
00
10
10
11
10
10
10
01
10
10
00
00
00
00
10
11
00
00
00
01
10
01
00
01
10
10
01
01
11
11
10
01
01
10
10
01
00
10
00
10
10
01
00
10
10
10
01
10
00
00
10
00
00
10
11
10
00
10
00
11
10
10
10
00
11
01
00
11
10
01
10
00
11
11
01
00
01
11
10
00
00
00
10
10
00
11
10
00
10
01
00
10
10
00
10
10
01
11
10
10
00
10
00
00
11
10
00
11
01
00
00
11
01
11
01
00
11
10
00
11
01
01
10
10
10
11
01
00
00
11
10
10
00
00
10
10
00
00
10
01
00
10
10
00
10
10
00
00
11
10
10
11
11
00
00
01
11
10
10
11
00
00
00
00
11
10
10
10
00
00
10
11
00
00
10
11
11
00
00
10
10
00
00
00
00
11
11
10
10
00
10
00
10
10
00
00
01
01
11
11
10
10
11
01
00
00
10
00
01
10
00
10
10
10
00
00
10
11
00
11
11
10
11
10
00
00
10
01
11
10
00
10
11
10
00
10
11
10
10
00
10
10
01
10
10
00
01
00
00
10
00
10
10
10
11
10
00
01
10
01
00
00
11
11
10
10
00
00
11
10
01
10
11
01
00
10
00
01
10
00
01
00
11
00
01
00
00
10
11
10
10
00
00
00
10
11
10
11
10
01
00
10
00
00
01
10
11
10
00
11
11
00
10
11
10
00
10
00
00
01
00
00
10
01
11
01
01
10
10
10
10
01
01
11
01
11
01
10
10
00
00
00
10
10
00
00
01
10
11
00
00
10
00
01
11
00
01
11
10
00
00
01
01
11
00
00
11
10
11
01
10
11
10
00
00
10
10
10
00
10
10
01
10
10
01
01
10
00
00
00
00
10
00
00
10
10
10
00
00
11
01
01
01
10
00
00
00
01
00
10
11
00
00
00
01
10
00
10
10
01
10
00
10
11
00
00
10
00
11
11
11
10
10
10
10
10
01
00
01
00
10
00
00
10
10
01
11
01
01
11
11
10
10
00
10
00
10
11
01
10
01
00
01
10
11
10
01
10
00
00
10
01
10
11
00
01
01
00
00
01
10
10
00
01
10
00
10
10
00
01
00
10
01
00
11
00
00
10
00
00
01
00
10
11
00
10
01
01
11
00
10
10
11
11
11
00
11
00
00
10
00
11
01
11
10
00
00
11
10
00
00
00
10
10
00
00
01
00
00
00
00
10
10
10
10
10
10
11
00
01
10
00
00
00
11
10
10
10
10
01
00
10
00
10
01
00
11
00
00
10
00
11
10
01
10
01
00
11
01
10
00
10
10
00
11
10
11
01
01
11
10
00
11
10
10
00
00
10
10
11
10
01
01
11
00
11
11
00
00
11
10
00
10
01
00
11
01
11
00
10
11
00
11
10
00
01
00
01
10
10
10
11
11
11
00
11
10
01
00
00
10
10
01
11
00
01
10
00
10
11
00
11
11
00
10
11
00
10
00
01
01
01
10
01
10
10
10
01
00
11
11
11
10
11
00
00
00
10
10
00
01
10
00
00
10
10
00
10
00
10
11
01
11
11
10
11
00
01
10
00
10
10
00
00
10
10
00
10
10
10
01
01
11
01
00
00
01
11
00
10
10
01
01
00
00
10
10
00
01
00
01
00
10
00
10
00
11
10
00
00
11
00
00
10
10
10
10
01
00
00
00
00
10
11
10
00
10
10
10
10
00
01
01
10
00
01
10
01
10
10
01
00
00
11
01
10
10
01
00
01
01
10
10
01
10
01
01
10
10
10
11
00
00
10
01
01
10
11
00
11
10
01
11
00
11
10
11
10
10
11
10
00
00
10
01
11
01
11
11
10
00
10
10
11
00
00
11
01
10
10
00
11
00
01
10
10
01
11
11
00
11
10
01
10
00
10
01
10
11
11
10
11
10
00
10
11
01
11
01
01
01
10
11
00
00
10
11
01
00
11
10
10
01
00
00
10
01
00
11
10
10
00
00
10
00
10
10
10
11
00
11
10
00
10
10
01
01
11
10
11
01
01
10
11
00
00
00
10
10
00
00
10
01
00
10
00
00
00
00
00
10
00
00
00
10
10
00
00
00
11
11
10
00
11
00
10
10
00
01
00
10
00
10
11
11
00
10
00
00
01
00
11
11
10
01
11
00
00
10
01
10
10
00
11
10
10
10
00
10
11
10
01
10
11
10
10
00
10
01
00
01
10
00
00
11
10
00
00
10
10
01
00
00
11
01
10
00
10
10
11
00
11
01
01
00
10
01
00
10
10
11
01
10
10
00
10
10
11
00
01
11
01
00
01
10
11
00
11
10
00
00
11
11
01
10
11
00
00
01
11
11
00
00
11
11
10
00
01
10
11
00
10
11
10
00
01
00
10
00
10
00
01
10
10
11
00
11
00
00
11
10
01
00
10
10
10
10
00
10
10
00
00
10
11
10
00
00
01
00
01
00
11
01
11
00
00
00
10
00
01
11
10
00
10
00
10
01
01
11
00
00
00
00
10
11
00
01
00
10
00
00
00
01
00
01
00
00
10
01
00
10
11
00
00
01
10
00
01
11
11
00
10
10
10
11
01
00
10
10
10
01
01
01
00
10
10
00
10
10
01
01
00
00
00
10
11
01
10
00
10
11
10
01
10
10
00
10
00
01
10
10
10
10
01
10
10
01
00
11
10
00
00
10
11
10
10
00
10
10
11
11
00
00
10
00
10
10
10
10
10
00
00
11
10
00
01
00
01
01
00
11
00
10
00
00
10
10
10
00
00
10
10
01
10
10
00
00
00
00
10
11
10
01
10
10
01
01
11
00
00
00
00
10
00
10
01
11
00
01
11
00
11
10
10
10
01
00
10
10
01
10
11
10
10
00
10
00
00
01
10
01
01
01
00
11
10
00
00
11
10
01
00
11
11
10
10
01
00
00
11
01
10
10
10
11
00
00
00
00
00
11
10
10
10
01
01
11
01
01
00
00
11
10
01
01
11
10
00
10
11
01
10
01
01
11
10
01
10
11
01
00
00
00
10
10
11
01
11
01
00
11
10
11
00
01
10
10
10
10
00
01
10
10
11
00
00
01
00
00
10
00
11
00
00
11
00
00
00
00
10
10
10
10
11
10
10
00
00
01
10
11
10
00
11
10
01
01
00
10
00
10
00
00
11
11
10
11
11
11
00
11
01
00
10
10
00
00
10
11
10
10
01
00
00
00
10
00
00
00
10
10
00
10
01
00
11
10
00
00
01
10
10
10
10
00
10
00
00
00
00
00
00
10
10
11
00
10
10
00
10
00
10
00
10
10
01
10
00
01
00
11
10
00
11
00
01
10
10
10
00
10
01
10
10
00
10
10
00
00
00
00
10
00
00
11
10
01
00
10
11
11
00
01
00
11
10
10
01
01
01
10
00
00
10
00
00
11
10
01
01
01
11
10
10
11
00
00
00
10
10
00
10
10
10
01
00
10
10
00
11
01
00
01
10
10
01
10
11
10
00
00
01
00
10
11
00
01
10
00
00
10
00
11
00
10
10
01
01
11
01
01
00
10
11
10
01
00
11
10
00
00
01
10
11
00
01
00
00
00
11
01
01
10
11
11
00
10
00
10
10
11
00
00
10
01
00
00
10
10
10
10
00
00
10
11
11
01
00
00
10
00
01
00
10
11
00
01
01
10
10
01
00
01
00
11
11
01
01
10
11
00
00
10
10
10
00
10
00
11
10
01
00
11
10
01
10
00
00
10
01
00
11
00
11
10
01
11
10
10
00
00
10
10
00
10
10
11
10
01
00
10
11
00
10
10
10
10
11
00
00
10
01
01
00
11
10
10
01
10
01
01
10
10
00
10
00
10
10
01
10
00
10
10
00
00
01
10
10
10
10
00
10
10
00
01
10
00
11
00
00
00
00
11
00
00
11
01
10
10
11
10
10
00
10
00
01
10
11
00
10
11
10
00
01
10
10
10
11
01
10
10
00
00
01
00
10
11
11
10
01
11
00
10
00
10
00
00
10
10
01
00
10
00
01
01
10
00
00
10
11
11
11
00
00
10
10
01
10
10
11
10
10
10
11
01
01
10
11
10
00
10
00
11
10
10
00
00
11
10
10
01
00
00
00
00
10
10
00
00
00
01
10
11
01
10
11
10
00
00
00
00
10
10
00
00
01
00
11
10
00
10
10
10
01
10
11
01
10
11
11
00
11
10
01
10
00
00
01
10
10
10
10
11
10
01
01
10
10
10
01
10
01
00
10
00
01
10
00
00
10
01
10
10
11
00
00
01
10
01
00
10
01
11
11
10
01
00
00
00
00
00
10
10
10
00
01
00
10
10
00
00
11
00
11
01
00
00
00
10
11
10
10
00
01
10
10
00
00
00
10
00
00
10
10
10
10
10
11
10
10
00
11
10
11
00
11
01
00
11
10
00
00
10
10
01
00
11
00
01
00
11
10
00
00
10
01
00
10
01
11
00
11
00
01
11
00
01
10
00
11
01
11
10
01
00
01
00
01
00
00
00
00
01
00
10
10
01
00
10
01
11
10
11
00
10
10
01
00
10
00
10
11
00
10
10
10
00
11
00
00
00
00
10
11
10
10
01
10
00
00
01
00
10
10
11
11
00
00
00
00
00
10
11
10
10
10
01
01
10
01
00
11
10
00
10
01
10
11
01
00
00
10
00
00
11
10
10
00
01
00
10
00
01
10
11
00
10
00
10
10
10
00
10
10
01
00
10
01
00
11
10
00
11
01
00
11
00
10
00
00
01
10
11
00
00
00
00
11
11
00
00
01
10
00
00
10
01
00
10
00
10
00
11
01
00
11
10
10
00
10
01
10
00
01
10
11
00
10
10
01
01
10
11
00
01
11
10
00
10
11
00
00
10
01
00
00
10
10
11
11
01
11
00
10
11
00
01
01
10
11
10
00
01
11
10
01
00
11
10
10
11
00
11
00
10
10
10
01
11
10
01
10
10
10
01
00
00
00
00
11
10
00
01
10
10
00
00
10
11
01
10
10
10
10
00
10
10
00
01
00
10
10
11
00
00
10
10
10
10
00
00
01
11
00
01
10
10
01
01
00
00
11
01
00
00
00
11
01
00
10
01
11
11
01
11
01
00
00
00
10
10
10
00
01
10
11
10
01
00
10
11
00
11
10
01
01
11
10
00
10
11
00
01
10
10
10
00
11
10
00
00
10
11
00
10
10
10
00
00
00
11
10
00
11
01
10
11
11
10
11
10
10
11
00
00
10
10
01
00
10
00
01
11
10
11
00
10
11
00
10
00
01
11
00
00
10
10
11
11
00
11
10
00
00
10
10
00
00
10
11
11
10
01
10
10
01
10
00
11
11
00
01
10
00
11
10
01
00
10
11
00
10
10
00
00
11
00
01
01
10
10
01
10
11
10
10
01
10
00
01
11
11
11
00
00
00
11
10
10
01
00
11
10
11
00
00
10
10
10
01
00
10
10
01
00
00
11
00
10
10
10
11
11
00
00
10
10
00
00
10
00
10
00
00
11
00
10
11
10
00
11
00
01
01
00
00
10
10
10
00
01
10
11
10
01
11
10
00
00
10
01
10
10
00
00
10
00
10
10
01
10
10
00
01
01
10
10
11
10
11
00
00
00
10
01
10
01
00
11
10
11
11
00
00
10
10
11
01
00
00
01
10
10
10
00
10
10
00
01
00
01
10
10
10
01
01
11
11
00
10
10
10
11
10
00
00
00
10
00
10
10
00
00
10
01
00
11
00
00
00
10
10
00
10
10
10
01
01
11
10
10
00
01
01
10
10
00
00
10
01
11
01
00
00
01
10
00
10
11
00
11
10
00
10
10
01
00
10
11
00
11
01
01
11
01
00
00
00
10
11
01
00
00
11
10
10
11
10
00
01
10
10
00
00
10
10
00
11
01
00
01
00
10
10
11
00
00
01
10
10
10
00
00
01
10
10
10
00
10
10
00
00
11
00
11
11
10
10
11
00
11
00
01
10
10
01
10
00
01
00
10
10
01
00
10
10
10
00
00
00
10
11
00
00
10
01
00
11
01
10
00
00
00
01
10
10
00
10
00
00
01
00
01
00
01
10
01
01
00
10
10
11
00
00
01
00
11
10
11
00
00
00
11
00
10
01
00
11
11
00
01
10
10
10
00
00
10
10
00
10
00
00
00
00
01
10
10
00
10
00
10
10
00
10
00
01
10
00
01
10
00
01
00
11
00
10
10
11
01
10
10
01
00
01
10
01
10
00
00
10
00
01
11
11
00
00
00
10
00
01
11
00
00
10
11
10
01
00
10
10
10
00
00
10
00
10
11
00
01
00
00
11
11
01
11
10
01
10
11
00
10
10
00
11
10
00
01
00
11
01
00
01
10
01
10
10
00
00
10
11
10
10
10
01
11
10
00
00
00
10
00
01
11
10
00
10
10
00
00
01
00
11
10
10
00
10
10
00
00
10
10
00
00
00
00
10
00
10
10
01
11
10
10
01
10
10
10
00
00
10
11
10
01
11
00
10
10
00
10
01
01
10
11
00
11
00
11
00
01
10
10
01
00
00
11
11
00
11
11
10
11
00
11
10
01
00
00
11
10
00
11
11
00
01
01
00
11
10
11
11
11
01
00
00
10
01
00
00
01
11
10
00
10
00
10
10
00
00
10
00
10
11
01
00
01
10
10
01
01
00
10
10
11
01
01
10
10
00
10
10
10
00
00
10
00
00
00
10
00
10
10
01
10
10
10
10
10
00
11
01
00
11
00
00
00
01
10
00
01
11
11
00
10
11
10
10
00
00
01
10
10
11
10
01
00
10
11
00
00
00
00
10
00
00
10
00
01
10
00
00
10
11
00
00
11
00
01
00
00
01
10
11
10
11
11
10
11
01
10
11
00
00
11
10
01
10
10
01
00
00
00
00
10
10
00
00
10
11
00
01
11
01
00
10
10
00
11
10
00
00
10
11
10
11
01
00
00
10
01
00
00
01
11
11
11
01
01
10
10
10
01
00
01
11
10
01
01
00
00
10
10
00
00
00
00
01
11
11
00
10
10
10
00
11
10
01
00
10
00
10
11
10
11
01
10
10
10
01
01
10
10
00
00
00
01
00
01
10
10
11
10
11
00
10
10
10
00
00
10
11
10
00
00
00
10
10
10
11
00
00
10
10
01
00
00
10
11
01
00
11
01
10
00
01
10
10
00
00
10
10
10
10
00
11
00
10
10
00
01
11
01
11
00
11
11
00
00
10
11
00
10
11
10
01
10
00
00
00
10
11
00
00
11
00
00
00
01
01
00
11
01
11
10
11
10
11
00
11
10
00
01
11
10
00
00
10
11
01
10
00
11
10
00
00
00
11
11
10
00
10
00
01
01
11
10
00
10
11
10
00
01
00
11
01
00
10
01
10
11
10
01
00
00
10
11
10
00
01
10
00
10
00
00
01
11
11
00
01
10
11
00
00
01
10
10
00
11
01
01
00
10
10
10
00
01
10
01
00
01
00
10
01
10
10
00
00
00
00
00
11
10
00
10
01
01
11
00
10
11
01
11
00
11
10
00
10
10
00
00
10
11
10
11
11
10
10
00
00
00
10
00
10
10
10
10
01
00
10
10
00
00
00
01
10
11
10
10
10
00
00
11
10
00
00
10
00
01
00
10
01
01
10
00
11
10
10
11
00
00
10
11
10
01
10
10
10
01
10
11
00
01
01
00
00
00
10
10
11
01
01
11
11
00
10
00
00
10
10
11
00
01
00
11
01
11
10
00
10
10
10
00
01
00
11
10
01
10
00
00
11
00
00
11
10
10
00
10
01
10
10
01
10
11
01
00
10
11
00
00
10
10
00
11
10
10
10
01
10
00
10
01
10
10
10
01
00
01
11
10
01
10
10
00
11
10
00
10
11
10
10
00
00
10
01
10
00
10
00
00
11
10
11
10
01
11
10
10
10
10
00
10
10
01
00
01
00
10
10
00
00
11
11
00
00
10
00
00
11
00
00
01
10
10
10
10
00
10
10
01
00
01
10
00
10
00
10
10
00
10
11
00
00
11
01
00
10
01
11
10
00
00
10
00
10
00
00
00
10
10
10
00
10
01
00
01
10
00
00
00
01
11
01
11
00
11
01
00
10
00
01
10
00
00
10
10
10
00
10
10
00
00
00
00
10
01
00
10
01
10
00
00
10
01
00
10
01
11
00
11
10
10
10
11
10
00
10
10
10
00
11
10
01
00
10
10
10
00
00
00
10
01
10
11
01
10
10
11
00
10
11
00
01
01
01
11
01
00
00
10
10
01
00
10
11
10
00
00
10
00
01
10
11
01
10
11
10
00
01
01
10
01
11
10
11
11
11
00
10
10
10
00
01
10
10
00
00
11
10
01
01
00
00
11
01
11
00
10
10
01
00
00
01
10
00
00
00
11
11
10
10
00
00
01
00
11
00
10
11
10
10
00
10
10
10
01
01
00
10
01
10
10
00
10
10
10
10
00
10
10
00
01
10
10
00
00
11
00
00
01
11
00
01
10
10
10
00
00
10
10
00
00
10
10
00
00
00
10
01
00
10
10
11
11
00
01
10
00
00
11
11
01
11
00
10
00
10
11
01
00
10
00
01
11
01
00
10
10
11
10
11
10
00
01
10
01
00
10
01
00
10
00
00
10
00
01
00
00
01
01
10
00
00
10
00
00
11
00
00
01
11
10
00
00
00
01
10
10
11
00
00
00
00
10
00
01
10
01
00
01
00
10
10
01
00
11
00
00
00
11
00
01
10
10
01
00
00
00
11
01
11
11
00
00
00
01
10
00
10
10
00
01
01
10
11
00
00
10
01
00
11
10
00
00
10
10
10
01
00
11
10
01
10
10
10
11
10
10
10
01
10
01
01
10
00
00
01
01
11
00
11
11
10
10
11
11
01
00
01
10
11
01
00
01
00
10
10
00
00
00
10
10
11
00
11
11
10
10
11
10
00
10
10
00
10
10
10
01
10
10
00
00
11
11
11
10
00
11
00
10
00
01
11
10
10
10
10
01
00
00
11
10
01
01
10
00
10
10
11
00
00
10
10
00
11
11
10
11
10
10
10
00
01
00
11
10
00
10
00
00
11
01
01
01
10
01
10
10
10
10
00
11
00
01
00
10
10
00
11
10
00
00
10
01
10
00
01
10
10
00
10
01
10
11
01
01
00
10
00
10
11
10
11
00
01
10
00
11
10
01
11
11
00
00
00
01
10
00
10
00
10
11
11
10
01
10
00
00
11
00
00
11
11
11
01
10
00
01
01
00
00
11
10
11
01
00
10
00
10
01
00
10
10
10
00
00
10
11
10
01
11
10
01
00
01
01
10
11
10
10
10
11
10
00
01
11
01
00
10
00
00
01
01
10
11
00
00
10
00
10
01
10
10
01
10
10
00
00
11
10
01
00
11
10
10
01
11
10
10
00
00
00
00
10
10
01
00
00
01
00
00
10
11
00
10
10
11
10
10
00
00
01
01
01
10
10
00
10
00
10
00
01
10
11
10
01
01
10
00
01
11
10
10
01
01
10
00
01
00
10
01
00
10
00
00
10
00
00
10
01
10
01
10
00
00
10
01
10
11
00
11
10
00
00
10
00
00
11
00
10
10
00
11
11
00
10
10
00
01
00
10
01
11
10
01
10
00
01
00
00
11
11
00
10
11
01
10
00
10
11
11
00
10
00
01
00
01
00
10
00
01
10
11
00
01
00
10
00
10
10
10
10
00
01
01
10
00
10
10
10
11
00
00
00
00
10
00
10
00
11
00
10
00
10
00
00
01
11
10
01
10
01
10
10
10
00
00
10
10
00
00
11
00
11
10
10
00
10
11
00
00
10
10
00
10
00
00
11
11
00
11
11
00
01
00
00
10
11
10
10
00
00
11
10
00
10
00
00
00
00
11
01
10
10
00
01
00
10
01
10
10
01
01
10
00
10
00
10
10
00
11
10
10
00
00
11
01
00
10
10
00
00
00
01
11
00
11
10
00
00
01
10
10
01
00
10
00
00
00
00
01
10
10
10
10
00
00
10
01
00
11
00
00
01
00
00
10
00
10
01
01
11
01
11
00
00
01
01
01
00
10
10
10
10
00
01
10
00
11
10
00
00
01
10
00
11
00
00
10
10
00
00
11
10
10
10
10
10
00
10
01
00
01
00
10
11
10
00
11
11
00
00
01
10
11
01
00
00
11
00
00
10
10
00
01
11
10
10
00
11
00
11
00
11
00
01
10
00
10
10
10
00
11
11
00
01
01
10
00
10
00
10
11
00
01
00
11
00
10
00
11
00
10
11
01
00
01
10
11
00
10
10
01
10
10
00
10
01
00
11
10
00
00
01
10
00
10
11
10
00
11
01
11
10
00
00
10
00
11
10
00
00
10
01
11
11
01
11
00
00
10
11
00
01
11
11
11
01
00
10
00
11
11
00
11
00
10
10
00
10
10
00
01
00
10
00
00
00
10
10
00
10
10
00
01
10
01
00
10
00
10
00
10
00
00
00
10
00
01
10
10
10
10
01
01
10
10
00
00
10
10
00
01
01
10
00
00
11
00
00
00
10
10
10
10
01
10
10
10
11
11
10
11
00
00
10
01
10
10
00
00
00
11
10
00
10
00
11
10
00
01
10
00
01
10
11
01
00
01
00
00
10
10
00
00
01
11
10
00
00
11
00
00
11
11
00
00
10
01
00
01
01
10
10
00
00
10
00
01
10
10
10
10
00
11
00
11
01
01
00
01
10
10
00
00
01
10
10
00
00
01
01
10
00
11
00
00
01
01
11
10
11
10
10
01
00
10
10
10
11
00
10
11
11
10
00
11
00
10
10
00
00
10
00
00
00
10
10
10
10
00
00
00
01
00
10
10
00
10
00
11
00
10
10
00
00
00
00
11
10
10
10
01
01
00
11
01
01
10
01
11
00
10
10
10
10
00
00
11
00
00
11
00
10
10
11
11
00
11
10
00
11
01
10
01
00
11
10
10
00
10
10
00
01
00
10
10
00
00
01
10
10
00
11
10
11
01
10
01
01
00
01
01
11
10
11
10
00
11
10
00
00
00
01
01
10
10
01
10
10
00
10
01
00
10
11
11
01
10
01
11
10
01
10
00
01
11
00
01
00
10
10
00
10
01
10
11
01
00
11
10
01
10
10
01
00
00
10
10
10
10
00
01
10
10
01
10
00
01
10
10
00
00
01
10
00
01
00
00
00
00
11
11
10
01
00
10
10
11
10
00
00
11
01
01
01
10
11
10
11
00
10
11
00
10
00
10
10
00
00
10
10
00
00
01
00
10
01
10
10
11
10
00
10
00
01
10
01
01
01
00
11
01
00
10
10
00
00
11
10
01
00
01
11
11
11
00
01
11
10
10
10
00
01
00
10
10
11
10
00
11
01
00
10
01
01
10
11
10
00
11
10
00
00
10
01
00
10
00
00
00
01
00
10
10
11
01
11
10
00
11
11
00
11
10
00
11
11
00
10
10
01
01
11
11
01
01
10
10
00
00
10
11
00
00
10
10
00
11
10
01
10
10
10
10
01
00
00
10
10
00
00
01
10
01
10
10
10
00
10
11
01
00
00
01
00
11
00
00
00
00
10
10
11
00
11
00
11
01
00
00
01
00
11
11
01
00
00
10
10
11
10
11
00
00
11
10
11
11
11
00
10
10
10
00
00
00
01
00
01
10
00
01
10
01
10
10
01
11
10
01
10
11
00
00
10
10
00
00
01
00
10
11
10
00
00
10
11
00
10
00
00
00
10
10
01
11
10
00
00
00
10
10
00
10
00
01
00
10
10
11
10
11
00
00
00
10
00
11
10
01
11
11
00
10
00
10
11
01
01
11
11
10
01
11
00
00
10
10
10
11
00
10
11
00
00
10
11
00
10
10
10
00
00
11
10
10
00
00
00
11
10
00
01
00
01
11
10
01
10
01
10
11
00
11
11
01
11
11
10
01
10
00
00
10
11
00
11
11
00
10
10
11
10
11
00
10
11
00
11
11
10
01
01
00
00
00
00
10
10
11
10
10
10
10
10
00
00
01
00
10
00
00
10
10
00
00
11
01
00
01
10
01
10
10
10
00
00
11
01
01
00
11
00
00
00
00
10
01
00
11
01
00
10
10
10
10
00
00
00
10
10
10
11
01
00
10
00
11
00
10
00
01
11
10
10
11
10
00
10
01
01
11
01
10
00
10
11
10
11
01
01
00
01
11
10
10
01
00
10
11
01
00
11
00
00
10
11
10
10
10
00
00
11
00
10
00
11
11
00
11
11
11
00
10
01
01
00
10
10
00
01
00
00
10
10
00
00
11
10
11
00
10
00
10
00
01
11
00
00
00
00
10
11
10
10
11
00
00
00
11
00
10
00
00
10
11
10
00
00
10
11
01
10
00
10
10
00
00
10
00
00
11
11
11
10
11
00
10
00
10
11
00
11
10
11
11
01
00
00
10
10
11
00
10
10
01
01
10
11
00
10
00
00
11
11
00
01
00
10
10
01
00
10
10
00
10
11
00
10
00
01
00
11
10
00
11
00
11
10
00
11
10
01
01
01
10
01
00
00
01
10
00
01
01
11
10
10
10
00
01
10
10
01
01
10
11
01
00
01
01
01
10
10
01
10
01
10
10
00
00
00
00
01
10
10
11
11
00
00
10
10
00
10
00
00
10
11
10
11
00
10
01
00
10
00
01
10
00
01
01
01
10
11
10
10
10
10
01
01
10
00
00
10
10
01
01
11
01
11
00
00
00
00
10
10
10
01
11
01
11
10
00
11
01
10
00
01
01
00
00
10
00
11
10
01
11
10
01
01
10
00
11
00
01
00
01
10
00
00
10
10
00
10
00
00
10
10
10
01
10
11
11
00
00
00
11
00
11
11
10
00
00
01
10
01
00
11
01
00
00
11
10
10
10
11
00
00
11
01
00
00
00
10
00
11
00
11
10
01
01
11
10
10
00
00
11
10
01
00
10
00
00
10
10
10
01
00
10
10
00
00
00
10
10
10
00
00
10
01
01
10
00
10
11
00
10
11
00
11
10
01
00
00
10
00
00
10
01
01
10
10
01
00
00
00
00
00
10
00
11
10
10
11
01
10
10
11
00
10
10
11
00
00
10
01
11
01
10
10
01
00
10
11
00
10
01
00
10
11
00
11
10
00
01
01
11
10
10
00
10
10
00
01
10
00
11
10
10
00
10
11
10
11
00
10
11
11
10
00
10
11
01
10
00
01
10
10
10
01
00
11
10
10
10
10
10
00
00
00
11
10
00
01
01
00
01
10
11
10
11
00
00
11
10
10
00
00
00
10
00
00
00
11
00
01
00
10
10
00
00
00
10
00
00
00
11
11
11
10
01
00
10
10
01
00
10
10
00
11
10
00
00
11
10
00
10
10
01
00
11
00
01
10
11
00
01
01
10
11
00
01
10
00
10
10
00
00
01
10
00
00
11
10
00
10
10
00
10
00
01
11
01
10
00
00
10
00
10
00
00
00
10
00
10
10
00
11
10
10
10
00
01
10
10
00
10
10
00
10
00
00
11
00
11
00
00
00
01
10
10
00
00
10
10
10
00
01
10
10
00
11
00
10
11
11
00
00
10
01
10
11
00
10
10
10
11
01
00
10
01
00
11
01
01
01
11
00
01
00
10
00
00
11
11
01
00
11
10
00
10
00
01
11
10
10
10
10
11
11
00
00
10
10
10
11
00
11
10
00
01
10
00
01
11
10
00
00
10
01
10
11
00
10
00
10
10
00
10
11
01
10
10
00
10
00
00
00
01
10
10
10
10
11
00
00
11
00
01
00
10
10
00
00
10
11
01
11
11
10
10
00
01
00
00
10
10
00
00
10
11
01
00
10
10
00
01
10
00
01
11
00
10
10
00
01
00
10
10
00
00
11
00
01
00
10
10
01
10
00
11
11
00
11
11
00
01
11
00
10
10
00
11
01
10
11
00
01
00
00
01
11
10
00
00
10
11
00
10
10
10
10
00
01
00
10
11
10
01
11
00
00
01
10
10
11
00
10
11
00
11
11
00
11
00
10
00
10
10
00
10
10
00
10
10
10
10
10
00
00
01
11
10
10
10
10
01
10
10
00
00
00
10
00
00
10
10
11
10
11
10
11
11
10
01
01
01
11
10
00
00
01
11
10
01
11
00
00
10
10
01
10
10
01
11
00
01
01
10
11
10
00
10
00
00
10
01
00
01
11
10
11
01
00
11
01
00
11
00
00
00
10
10
01
10
00
10
10
00
11
10
01
00
11
00
10
10
00
10
10
10
00
10
11
01
10
00
01
00
10
00
11
10
00
01
00
01
11
10
10
01
00
00
00
10
00
00
00
00
00
00
10
10
01
10
00
00
00
00
11
11
10
10
01
10
11
11
01
00
00
01
00
10
11
00
01
11
10
10
00
00
10
00
01
10
01
10
10
00
00
00
10
01
00
10
10
00
11
00
01
01
10
10
10
11
11
10
10
00
10
01
10
10
00
01
10
10
00
00
00
10
10
10
00
10
11
11
01
00
10
01
10
11
10
11
00
01
00
10
00
10
11
01
00
10
01
00
00
00
10
10
00
00
11
01
01
01
11
11
10
01
10
10
11
00
00
11
01
10
10
10
00
11
00
01
00
10
10
11
00
11
10
00
01
10
00
00
00
10
10
00
00
01
10
00
00
00
10
10
00
00
11
10
11
01
11
00
00
11
01
01
00
10
11
01
10
11
10
00
10
01
10
00
00
11
10
00
01
11
00
00
00
01
00
11
10
11
10
11
00
00
00
10
11
11
11
10
10
10
11
10
00
01
00
00
10
10
00
01
10
10
10
00
00
00
00
10
11
00
11
11
11
01
01
00
11
00
01
10
00
00
00
00
10
01
01
00
00
11
01
10
10
01
00
10
10
00
10
10
00
01
01
10
10
10
00
00
01
01
10
00
01
00
01
01
11
10
00
00
00
00
00
10
10
10
00
00
10
10
01
00
01
00
00
10
11
10
10
11
00
01
00
11
10
00
00
01
00
10
00
10
00
01
00
00
10
10
10
01
11
10
01
10
00
01
10
00
01
10
11
10
10
10
10
11
01
01
00
01
11
11
10
10
00
01
10
00
10
11
00
00
01
00
11
10
01
01
10
00
10
10
00
01
11
01
01
10
10
00
00
10
01
00
00
00
00
00
11
11
10
01
10
10
00
00
11
10
01
00
00
10
11
00
00
10
10
10
00
01
11
00
01
00
00
11
00
01
00
01
10
01
11
00
10
11
10
00
01
10
00
00
10
11
01
00
00
00
10
00
11
10
10
00
00
10
00
10
11
10
11
10
10
00
11
10
00
11
00
00
01
00
10
00
00
10
01
01
11
00
01
10
10
00
11
00
10
10
00
00
00
11
00
00
11
10
10
01
00
10
00
11
01
10
01
00
10
10
00
00
01
10
10
10
00
11
00
00
01
10
00
10
00
01
00
00
10
01
01
10
00
11
10
01
10
00
10
10
01
00
01
10
10
01
10
00
01
10
01
11
11
10
11
00
10
00
00
00
11
01
11
01
01
00
00
10
10
01
00
11
10
00
00
00
10
10
10
00
01
11
00
01
01
01
00
11
11
00
10
10
01
00
11
00
11
10
10
00
00
11
10
01
00
00
00
01
00
11
10
01
11
10
10
00
10
10
10
00
01
10
10
00
00
10
00
10
10
10
00
11
10
00
00
11
10
00
00
00
01
01
00
01
00
10
10
10
11
00
00
10
00
10
10
00
00
10
00
10
01
11
11
10
11
00
11
11
00
11
11
10
10
11
01
00
10
11
00
11
10
01
11
00
11
10
10
01
10
10
00
00
10
10
00
00
10
10
01
11
11
01
10
11
10
01
00
10
10
11
00
00
00
00
10
11
10
10
00
10
11
00
10
00
00
10
10
00
01
00
00
10
00
01
10
00
10
10
01
00
00
00
00
10
01
10
01
10
10
11
00
10
00
10
10
11
11
01
10
10
00
11
00
01
10
11
01
10
00
00
10
10
10
11
10
00
00
00
10
11
00
01
10
01
11
10
11
10
11
11
10
01
00
10
10
01
01
00
10
11
10
00
01
00
00
10
10
11
10
10
00
00
00
11
10
10
00
01
00
11
11
01
10
10
00
11
10
00
11
01
10
10
01
10
10
01
01
10
11
00
00
00
10
01
10
00
10
10
00
01
00
10
00
00
10
10
01
11
00
10
01
01
00
10
11
01
01
00
01
10
10
10
10
11
00
00
00
10
00
01
01
00
10
00
10
10
01
00
10
11
00
10
00
11
10
00
01
00
10
11
00
10
10
01
10
00
10
10
00
01
00
01
10
00
00
10
01
01
00
00
10
00
11
11
00
00
11
11
10
00
11
10
00
01
00
11
10
00
00
01
10
10
10
01
11
00
10
10
00
01
10
10
01
01
00
00
11
01
01
10
01
10
01
10
01
11
10
01
00
11
10
10
01
00
00
00
10
01
01
11
11
10
00
10
01
11
10
00
01
10
00
01
10
01
01
10
11
10
00
10
01
00
10
10
01
00
10
11
00
01
11
10
00
01
10
00
00
10
10
10
10
00
01
10
01
10
10
10
00
01
00
01
00
10
10
01
00
11
10
00
00
10
00
10
00
01
10
10
00
00
10
01
00
10
10
01
10
00
00
11
00
11
10
00
01
10
10
10
10
00
01
10
10
10
01
11
00
01
00
11
11
10
10
10
01
00
01
10
10
00
11
10
10
00
01
00
10
11
10
10
11
01
00
11
10
00
00
00
11
11
10
01
00
01
00
10
11
00
00
11
10
00
00
00
00
11
10
10
01
00
11
10
00
10
11
00
10
10
10
00
00
01
00
11
01
10
10
10
10
00
00
11
11
10
01
01
00
11
10
01
00
10
10
00
00
10
01
00
11
10
11
00
10
11
01
11
10
00
10
00
01
10
11
00
00
10
00
10
11
11
01
00
11
10
00
01
00
00
11
11
10
10
01
11
10
00
01
11
10
00
11
00
11
10
10
00
00
10
00
10
11
10
00
00
00
10
10
01
00
11
11
10
11
00
00
10
10
00
11
00
00
11
00
11
00
11
11
00
11
00
00
10
00
10
10
10
00
11
10
00
10
00
10
00
10
11
01
11
00
01
10
10
01
00
10
10
00
00
00
01
11
11
11
10
10
11
10
10
10
00
00
11
10
10
10
10
00
01
10
10
11
01
10
00
00
00
11
10
00
10
10
00
00
01
10
00
00
00
10
11
10
00
00
10
10
11
10
10
00
00
11
00
10
11
10
00
11
00
10
01
00
10
00
00
00
00
01
01
10
00
10
01
00
10
01
00
01
01
11
11
10
10
10
00
00
00
01
11
01
10
10
00
10
10
11
11
11
01
01
00
11
01
00
11
00
00
10
00
10
10
10
00
10
11
00
00
00
10
00
10
10
00
10
00
10
10
01
01
01
11
00
10
11
10
00
11
01
00
10
10
00
00
00
10
10
00
10
01
01
10
01
00
10
10
10
10
00
00
10
11
11
11
01
10
11
01
01
00
00
10
10
11
00
00
10
10
00
00
00
00
10
10
00
11
00
00
00
11
00
10
01
10
10
00
00
01
01
01
11
10
01
00
10
10
01
00
11
00
00
00
00
11
00
10
10
00
11
01
10
00
00
00
10
10
00
11
01
00
00
11
10
00
00
10
01
10
10
00
00
01
00
01
10
00
00
00
10
11
00
10
11
01
01
01
00
10
10
10
10
01
00
10
10
00
10
11
01
00
10
00
01
10
01
00
01
00
11
10
01
11
11
11
11
01
00
01
11
00
10
10
01
00
11
00
11
00
10
10
00
10
00
01
10
01
00
10
00
00
00
10
00
00
10
10
01
10
00
00
11
10
00
00
00
10
00
10
00
00
10
10
10
01
10
11
01
01
11
11
00
01
10
11
10
00
11
10
10
00
00
10
00
10
11
11
01
00
11
00
11
10
00
00
00
10
11
11
01
00
10
10
11
01
01
11
01
00
10
01
11
00
01
10
10
00
10
10
01
10
10
00
11
01
10
11
10
10
00
11
00
11
00
00
01
10
01
00
01
10
10
00
01
10
10
01
11
00
01
10
10
10
00
11
10
11
00
01
10
00
10
10
11
00
11
11
10
00
10
11
10
00
10
00
10
00
10
10
00
00
00
00
01
00
10
01
10
01
10
10
00
00
11
00
10
10
00
00
01
10
10
00
00
10
00
10
00
11
10
00
00
11
10
11
10
00
01
11
01
00
00
10
00
00
00
11
10
11
10
00
00
11
00
00
00
01
11
10
00
00
00
10
10
11
11
11
01
10
01
11
11
00
11
01
01
00
10
10
01
11
11
01
01
00
01
11
00
00
10
10
00
10
10
00
01
10
00
11
00
10
00
00
11
10
00
01
01
00
11
01
00
00
10
01
00
00
11
00
11
01
01
10
11
11
00
00
10
11
01
10
01
00
10
11
10
11
00
11
10
11
10
10
10
00
00
10
10
00
00
00
10
00
00
10
10
01
10
00
01
10
00
11
00
00
00
00
10
00
01
10
10
00
00
00
00
11
00
00
11
10
10
00
00
11
00
00
10
01
10
00
01
00
10
10
11
00
01
11
01
10
10
11
00
11
10
10
00
00
11
00
00
10
01
11
00
10
00
01
00
10
10
11
00
10
11
11
01
00
11
10
00
00
10
10
00
10
11
01
11
00
00
10
10
10
10
00
01
01
10
10
00
00
10
00
11
01
01
10
11
00
11
00
11
10
11
00
01
11
11
01
11
00
00
10
00
10
11
01
00
00
10
10
01
00
10
11
00
10
01
00
00
10
01
01
10
01
10
10
10
01
00
10
10
10
11
10
10
01
01
10
10
00
00
10
10
01
11
11
00
11
01
00
00
10
10
00
01
00
10
01
11
10
10
10
01
10
00
00
00
01
00
11
11
10
00
11
01
01
10
00
01
11
11
01
10
11
11
01
00
10
00
10
10
00
11
10
00
10
10
00
01
00
10
10
10
00
00
10
10
11
00
10
10
00
01
10
10
11
01
10
00
11
10
00
00
01
01
10
10
01
00
10
01
00
11
10
11
00
11
10
00
10
10
00
01
00
11
00
10
10
00
01
10
11
01
11
10
10
00
00
00
10
00
00
10
01
10
00
00
00
10
00
00
10
01
11
00
00
10
11
11
01
01
00
01
10
10
00
10
10
00
00
11
00
00
10
01
01
00
00
10
01
01
11
10
00
00
11
10
10
00
01
10
00
10
01
11
01
11
00
00
00
00
00
11
10
11
10
10
00
00
01
00
10
01
11
10
00
00
10
10
01
00
10
11
00
10
10
01
10
00
10
10
01
10
11
00
00
10
10
10
10
00
10
10
11
00
11
00
00
11
01
01
11
10
01
11
01
00
00
10
10
10
01
00
01
11
00
11
11
10
00
10
10
00
00
10
01
01
10
00
11
00
00
10
10
01
11
00
00
10
00
11
01
00
00
11
10
00
00
10
11
01
00
11
00
00
00
11
01
10
11
00
10
11
00
01
00
01
10
00
11
00
00
10
00
00
00
01
10
10
00
00
10
10
00
00
00
00
00
10
01
01
10
00
01
01
11
00
01
11
10
01
10
10
01
10
10
00
00
10
10
00
10
11
01
10
00
11
10
00
00
00
10
10
11
01
10
11
10
00
10
00
01
11
00
00
00
01
00
10
10
00
10
01
00
10
00
10
00
10
00
00
10
01
11
10
00
10
10
00
00
00
00
10
00
00
00
00
01
11
00
01
01
00
01
01
00
11
00
01
10
10
00
01
00
10
10
00
01
10
00
11
00
01
01
00
10
01
00
11
10
01
11
00
01
00
00
10
10
10
11
01
01
10
10
11
01
10
10
10
00
10
01
01
00
00
01
01
11
11
00
10
00
10
11
10
10
01
10
10
01
11
11
10
00
00
10
11
10
00
00
11
00
10
10
00
10
00
10
11
00
10
11
00
10
10
10
11
01
00
00
01
00
10
01
11
11
01
10
00
10
00
00
10
10
00
00
10
11
10
10
11
00
00
01
01
10
01
01
00
11
00
10
11
01
00
10
10
00
00
11
11
01
10
11
11
11
11
01
00
11
10
00
00
10
10
00
11
01
10
00
00
00
00
01
01
11
10
11
10
10
00
10
10
10
10
01
11
11
01
11
10
11
00
00
01
10
11
01
11
10
10
10
00
11
00
00
11
10
00
00
01
11
10
10
00
11
00
10
10
01
00
01
00
00
10
10
10
01
10
11
10
01
10
10
00
01
10
10
10
01
00
11
11
11
01
10
01
01
11
10
11
00
01
00
10
01
10
10
01
00
10
11
10
10
01
10
00
01
11
01
11
01
10
00
10
00
00
11
10
01
11
10
01
10
00
00
11
10
01
01
00
00
10
11
11
00
11
00
10
00
00
10
10
10
00
11
10
00
00
10
00
10
00
00
01
11
00
11
10
00
10
01
01
00
10
00
00
10
10
01
00
10
00
00
00
01
11
10
00
10
00
10
10
01
10
10
00
01
10
00
10
11
00
01
00
10
01
10
00
01
11
10
00
11
00
00
10
01
10
00
00
10
00
11
01
00
01
10
01
10
10
10
00
00
11
11
01
10
10
11
01
10
11
11
00
01
11
10
10
10
10
10
10
01
01
10
10
11
10
11
00
10
10
01
00
10
01
00
11
00
11
00
11
11
00
10
10
00
00
00
11
10
10
00
10
10
00
00
10
11
00
00
11
00
10
11
00
10
00
10
00
10
10
10
10
00
10
01
10
00
10
00
10
11
00
00
10
00
11
00
01
00
10
10
01
01
10
10
00
10
10
00
00
10
11
00
01
10
00
00
01
10
11
10
01
01
10
01
10
10
10
00
00
01
10
10
00
00
11
11
10
01
11
00
10
00
00
00
10
11
00
10
11
01
00
10
00
00
00
11
10
11
01
00
11
01
00
10
01
11
11
00
00
00
10
00
00
11
10
00
00
00
00
01
00
10
10
01
11
10
00
01
10
11
11
10
10
01
01
00
00
10
11
01
01
10
11
10
00
00
00
01
11
01
00
00
00
00
01
10
01
00
10
10
01
00
00
00
10
11
10
11
01
00
11
10
10
11
01
01
01
01
11
00
10
01
10
01
10
11
01
10
11
00
00
10
11
10
00
00
10
11
00
01
00
00
00
00
10
10
11
00
11
00
10
00
01
10
00
10
10
10
01
01
00
00
00
10
10
10
10
00
10
00
01
11
00
00
00
10
10
00
01
10
00
10
01
10
01
00
10
10
01
10
01
00
11
10
01
01
00
10
11
11
01
00
01
10
10
10
10
00
01
10
01
11
10
00
10
00
00
10
11
00
00
10
00
11
10
10
11
00
00
00
00
11
10
00
00
10
00
10
10
00
00
11
11
01
11
10
11
11
01
10
11
00
11
11
00
01
01
10
00
00
11
10
00
00
11
00
11
00
11
11
10
00
10
10
10
00
10
01
10
11
00
11
01
10
10
00
10
10
01
00
10
10
00
10
00
00
10
10
00
00
10
11
10
10
10
01
00
00
00
10
10
11
01
11
01
11
11
00
01
01
10
11
00
00
11
11
10
00
01
11
00
00
10
00
01
00
00
11
10
11
00
10
10
00
00
11
10
01
10
00
00
10
10
00
00
00
10
01
00
11
01
01
00
01
00
11
10
01
10
11
00
00
00
11
01
00
10
10
10
00
10
10
01
00
11
10
11
11
00
11
00
01
10
11
00
10
10
00
10
10
00
00
11
10
00
01
01
10
11
10
00
11
10
01
00
01
10
00
00
01
11
10
00
10
10
00
00
00
10
00
11
10
01
10
11
01
00
10
00
00
10
01
01
10
00
00
11
00
00
10
11
10
10
00
00
10
00
11
00
00
01
10
10
10
00
10
11
01
01
10
10
10
01
00
10
10
01
01
01
00
11
11
10
10
10
10
00
01
10
10
10
00
00
10
01
00
10
10
10
10
10
10
00
10
01
10
00
10
00
10
11
00
11
00
10
10
00
10
00
01
11
10
11
00
11
00
00
00
11
11
00
01
11
11
00
11
00
00
11
10
11
10
00
10
10
01
11
00
00
00
01
00
00
10
11
00
10
11
01
00
11
11
01
10
10
00
00
00
11
00
10
11
00
01
00
10
10
10
10
10
00
00
10
00
01
11
10
00
00
11
11
00
01
10
00
10
11
11
00
00
10
01
01
11
00
10
11
00
01
00
01
10
10
11
00
10
10
11
01
00
00
11
00
01
11
10
10
00
00
01
10
00
00
10
10
10
00
00
10
00
00
11
10
00
00
01
11
00
00
00
11
11
00
11
10
00
00
00
10
10
11
01
11
10
11
01
11
00
00
10
10
00
00
00
11
10
11
10
01
00
11
11
01
01
10
00
00
10
00
01
10
11
10
11
00
00
10
10
10
00
01
10
01
11
00
10
01
00
01
00
10
10
00
00
00
00
10
00
00
00
00
00
10
00
01
10
11
10
10
10
01
10
11
11
00
00
00
10
00
10
11
10
10
10
01
11
10
11
00
01
00
10
11
10
10
00
10
11
11
01
01
10
10
10
01
11
10
01
00
10
01
10
10
00
10
11
00
10
00
11
10
00
01
00
10
00
00
11
10
11
10
11
10
11
01
10
00
00
10
11
01
00
11
11
00
11
11
10
00
11
10
10
10
00
01
11
01
10
10
11
00
11
10
00
00
10
10
00
00
10
00
01
11
01
10
10
10
01
10
00
10
10
11
01
11
00
00
00
00
11
11
10
00
00
00
01
10
10
00
00
00
00
01
10
00
00
10
10
01
00
10
10
10
00
11
10
10
01
10
10
10
00
00
11
01
10
01
10
11
00
10
11
00
00
10
10
01
10
01
10
10
11
01
01
00
01
10
01
00
01
01
10
10
00
01
10
11
00
10
01
00
10
01
10
10
00
11
00
00
10
10
00
00
10
11
11
01
11
10
01
11
00
00
00
10
10
10
01
11
11
00
11
10
00
01
10
10
00
01
10
01
00
10
11
00
01
11
01
11
10
01
11
10
00
01
11
10
00
00
10
00
00
10
10
00
00
00
01
10
10
01
10
10
10
00
10
10
00
01
11
11
01
01
11
10
10
10
00
00
11
00
01
10
10
11
01
11
10
00
00
10
10
00
00
10
10
10
10
01
00
10
00
10
00
11
10
00
10
00
11
00
00
10
00
10
01
00
01
10
10
00
00
10
10
10
01
01
00
10
10
01
11
10
01
00
10
01
00
10
10
11
01
10
00
10
10
10
11
01
01
01
00
00
00
10
00
01
10
10
00
10
01
10
11
10
11
11
00
01
11
01
00
00
11
10
10
00
00
11
00
01
11
11
00
00
11
00
11
10
11
00
11
00
10
00
01
00
11
01
01
11
11
11
11
00
11
10
11
01
00
10
10
00
00
01
00
10
00
10
00
10
11
01
10
10
00
00
11
00
00
11
10
10
00
10
00
00
11
01
01
10
11
01
11
00
01
10
10
00
00
00
10
01
00
10
01
01
11
01
01
11
01
01
10
10
11
00
00
10
11
01
00
10
00
10
00
01
11
10
01
10
11
10
00
01
00
01
10
10
10
10
00
00
00
10
00
00
01
10
11
00
10
01
01
10
00
10
10
00
00
01
00
01
01
01
11
01
10
11
00
00
10
10
00
00
00
10
10
01
10
11
01
00
10
10
00
11
10
00
00
00
10
10
10
01
01
10
11
10
10
00
00
10
10
00
00
11
01
00
01
00
00
10
01
01
00
00
11
01
11
00
11
10
10
00
01
10
11
00
00
11
11
00
10
10
01
00
10
00
10
11
10
00
01
00
01
10
10
01
11
10
10
00
10
11
00
01
10
00
11
01
01
00
11
10
10
10
00
00
01
00
10
10
10
10
01
10
00
00
11
00
10
10
00
10
10
10
00
00
00
00
01
11
10
00
00
10
00
01
01
01
10
01
00
10
01
00
01
10
00
00
01
10
11
10
11
00
01
10
10
00
00
11
00
00
11
00
01
10
01
10
01
10
11
10
00
00
01
00
11
10
11
01
11
00
00
11
00
00
11
00
01
10
11
10
10
11
00
00
11
00
11
01
00
10
00
10
01
00
11
11
00
01
01
01
00
00
10
10
01
00
11
10
11
10
10
10
00
10
10
10
00
00
00
00
00
11
01
00
10
10
00
10
10
10
00
01
00
00
01
10
10
01
01
01
10
11
11
01
00
00
01
11
00
00
00
11
10
10
11
01
01
10
10
00
11
10
11
10
00
00
10
00
01
00
11
10
01
11
00
10
10
00
00
00
11
11
01
01
10
01
11
01
11
00
01
10
10
01
11
10
10
00
00
10
10
11
01
00
10
10
00
11
00
00
10
10
11
00
10
00
00
10
10
00
10
00
10
11
00
00
11
00
00
00
00
00
10
10
00
00
00
10
11
00
10
00
10
10
10
00
01
01
00
11
00
01
11
00
10
10
00
00
10
10
10
11
00
01
00
11
10
11
10
10
10
11
11
10
01
00
11
10
00
00
00
01
11
10
00
01
10
11
00
00
10
10
01
10
10
00
00
00
00
01
10
00
01
10
11
00
10
00
00
10
01
11
10
00
11
11
10
01
00
11
11
00
10
00
11
10
00
01
00
10
00
11
10
10
00
00
01
10
10
00
10
01
10
11
01
11
00
10
10
01
00
10
10
00
10
00
10
10
10
01
10
01
10
01
10
11
01
10
01
10
11
01
00
00
11
00
00
10
11
10
00
00
10
01
10
10
00
11
00
10
00
00
01
10
10
00
01
00
10
00
10
01
01
00
01
10
10
11
10
00
01
10
10
01
11
00
01
10
01
10
10
10
01
00
10
00
01
00
11
10
10
00
11
10
00
00
01
01
00
11
01
00
11
11
10
01
11
10
10
10
11
11
00
01
10
10
00
10
01
11
10
11
10
01
10
11
10
00
00
00
01
10
10
11
01
00
11
01
10
11
00
00
00
10
11
00
11
11
00
11
01
01
00
00
10
10
01
11
11
00
00
00
10
10
01
00
01
11
00
01
10
10
10
10
01
00
11
11
00
10
00
00
10
00
00
01
00
10
11
00
11
11
11
11
10
11
01
10
10
00
11
00
11
11
10
10
00
10
10
01
01
11
01
01
01
01
10
11
11
00
10
10
00
10
10
00
01
01
10
11
01
10
00
11
11
10
10
00
00
00
00
10
10
00
01
10
00
10
01
10
00
01
10
10
10
01
00
10
01
11
10
11
00
11
10
01
10
00
01
10
01
01
10
11
10
00
00
00
10
10
11
10
11
10
00
00
10
00
10
10
00
00
10
10
00
00
10
00
00
01
10
00
00
10
00
00
00
00
10
10
10
01
00
00
10
01
01
10
00
01
10
10
00
00
00
10
10
11
01
11
10
10
01
00
11
10
01
01
01
00
10
01
00
11
01
00
11
11
00
10
01
00
10
11
01
00
01
10
00
01
01
11
10
10
10
11
10
10
00
11
00
00
11
00
01
00
10
10
11
00
00
10
00
11
10
01
01
00
10
11
01
10
10
00
10
10
01
00
10
00
00
10
01
10
11
00
00
10
01
00
00
00
10
01
10
11
00
00
10
11
00
00
01
10
10
10
10
11
01
11
10
10
10
10
00
00
10
10
10
10
00
10
10
11
10
00
00
00
10
00
10
10
00
00
01
10
00
01
10
11
11
10
01
00
10
00
11
00
11
10
01
00
01
01
10
01
00
00
10
00
10
10
01
01
00
11
01
10
10
00
10
10
10
00
00
10
01
01
00
00
10
10
00
00
10
00
00
10
11
10
01
00
11
00
10
10
00
11
10
11
01
10
00
11
11
00
00
11
01
01
01
00
11
10
00
01
10
10
10
00
01
00
01
10
10
10
10
01
10
10
01
11
00
01
10
10
10
00
00
01
00
00
11
01
00
00
10
10
10
10
00
00
10
00
10
10
01
00
11
00
00
00
10
11
01
10
11
11
00
10
00
01
11
00
01
10
10
00
10
10
11
00
10
00
00
00
01
10
11
10
11
00
11
10
00
01
10
10
00
00
10
01
00
11
10
01
10
00
01
10
10
01
10
10
00
11
00
10
01
00
10
10
10
00
10
10
00
00
10
11
00
00
01
10
10
01
10
10
10
10
10
00
10
10
00
00
01
11
00
11
01
00
10
11
00
11
10
00
10
11
10
00
10
00
10
00
10
11
01
10
01
00
00
01
01
10
11
11
00
00
00
01
10
01
00
11
01
11
10
00
00
10
10
00
01
10
11
01
00
10
01
00
11
00
00
01
10
11
00
10
10
10
00
10
11
00
10
00
01
00
10
00
01
10
00
10
10
10
11
00
00
00
11
10
11
00
00
00
10
00
01
00
10
11
01
00
10
00
01
10
10
01
10
00
10
10
00
10
11
00
00
10
00
11
11
11
10
00
01
00
10
01
10
00
00
01
10
10
11
10
00
11
10
00
00
00
11
11
01
01
01
01
11
10
11
01
10
10
10
00
00
11
10
00
00
00
00
11
00
01
00
00
10
10
11
11
00
11
01
00
01
10
01
10
11
01
00
01
11
00
10
11
00
10
10
10
00
10
00
01
10
11
00
01
01
00
01
01
01
10
10
00
10
10
00
01
10
01
11
10
00
10
10
10
00
00
00
10
10
00
11
00
01
10
10
10
11
10
11
11
11
01
00
11
11
00
00
11
10
00
11
11
10
10
10
00
00
00
10
10
00
01
10
01
10
10
11
10
00
01
10
11
10
01
00
10
00
00
00
11
10
00
00
10
00
11
00
01
11
10
11
10
00
10
00
00
10
00
10
00
00
10
01
01
00
10
00
10
11
01
10
00
00
10
00
00
10
10
01
10
10
01
00
01
10
11
01
10
10
01
00
11
10
00
00
10
00
00
10
10
10
11
10
01
00
10
10
01
11
10
00
00
00
11
11
10
10
00
10
00
00
00
01
10
00
10
11
00
00
10
00
10
00
10
11
10
00
00
00
11
00
00
00
10
10
00
11
11
00
10
00
10
01
11
11
01
10
10
11
11
00
00
10
00
00
11
10
00
10
10
00
01
01
10
11
10
00
00
10
00
10
10
00
11
10
01
10
11
00
01
11
10
01
11
11
10
11
01
00
00
10
00
11
00
00
10
11
00
01
10
00
10
11
00
01
00
11
00
00
00
01
10
11
10
01
01
00
10
11
11
00
11
00
00
00
00
10
00
00
10
00
10
00
00
00
11
00
10
10
00
11
00
00
10
00
11
11
00
01
00
10
01
10
11
11
10
00
10
10
00
00
11
10
00
00
10
00
10
10
10
11
00
10
10
00
10
00
10
10
00
00
10
10
11
00
10
10
11
10
01
01
00
11
00
10
00
01
11
10
10
10
10
00
00
00
01
01
00
10
10
10
00
00
00
10
10
00
01
10
00
00
11
10
01
01
10
10
10
10
11
01
00
11
00
10
10
10
00
10
00
01
01
00
10
00
10
00
11
11
01
01
10
01
00
00
10
10
00
10
11
00
00
10
10
01
11
01
00
00
11
01
00
10
11
11
10
00
00
00
00
10
00
01
10
01
11
10
11
10
01
00
00
10
10
01
11
10
01
10
01
10
10
11
10
00
01
10
11
11
10
10
00
01
01
11
11
10
01
10
11
01
00
10
11
00
01
11
11
10
10
00
00
10
11
01
01
00
00
10
11
10
11
00
01
10
00
01
01
01
10
00
00
10
10
10
01
01
11
00
00
11
10
00
00
10
10
00
00
00
10
00
10
01
10
01
00
00
00
00
11
10
01
00
01
10
00
10
11
00
11
10
00
01
10
00
11
10
01
01
10
11
00
00
10
01
00
10
10
10
11
10
10
01
00
00
00
10
00
01
10
11
11
10
01
00
10
11
00
00
00
00
11
10
10
00
10
10
01
10
01
10
11
01
11
11
10
10
01
10
11
01
00
11
10
00
01
00
01
00
10
00
11
01
00
10
00
00
01
00
00
11
10
00
11
01
01
11
00
00
11
11
01
00
11
11
00
00
10
01
00
01
00
10
00
00
10
01
00
10
10
00
01
10
11
11
00
11
10
11
00
01
10
10
01
01
10
10
00
00
00
00
10
10
00
10
00
10
00
10
00
10
11
00
10
11
00
01
00
10
00
10
01
10
11
00
01
00
01
10
11
01
01
11
10
00
00
11
10
00
00
10
10
01
11
01
00
01
01
10
10
10
11
00
01
10
10
10
00
10
01
00
00
00
00
00
10
00
10
00
10
01
00
11
10
11
11
00
10
10
00
00
10
00
11
10
00
10
00
00
00
10
11
11
10
00
10
00
10
00
00
01
10
00
00
00
10
00
11
10
10
11
11
11
10
00
01
00
11
01
00
10
10
00
01
01
10
00
00
01
11
10
00
01
00
00
10
00
10
11
00
10
10
10
10
00
11
00
10
11
00
11
00
11
11
10
01
00
01
10
00
01
00
00
10
01
00
10
00
01
01
00
10
01
00
10
11
00
00
10
11
10
10
01
11
01
11
00
10
00
00
00
11
00
10
00
00
11
10
11
01
00
11
10
01
00
00
11
01
01
11
00
00
11
10
00
11
10
00
10
01
01
00
11
11
00
00
11
00
00
10
10
00
00
00
10
10
00
10
10
11
00
00
01
00
11
00
00
11
10
00
01
10
11
10
10
01
00
10
01
00
01
10
11
00
01
00
01
10
10
10
00
10
10
00
10
11
11
00
00
01
00
10
10
10
10
00
00
00
10
11
11
01
10
10
01
10
10
11
00
01
01
10
10
10
01
10
00
01
01
00
00
00
01
11
10
10
10
10
01
11
00
01
01
00
10
10
00
01
01
11
10
01
00
10
10
11
01
00
10
00
00
10
10
10
10
10
00
10
00
00
10
00
00
00
00
00
01
11
01
10
01
10
10
10
10
00
00
01
10
00
10
10
01
11
11
00
00
11
01
00
10
10
00
00
01
11
00
00
10
00
10
00
00
10
00
00
00
00
10
10
10
10
11
00
11
10
00
10
11
10
10
10
01
10
10
01
10
00
00
11
11
00
00
00
00
10
11
00
01
00
11
10
10
01
00
00
10
11
00
10
10
10
11
10
10
00
00
10
01
11
10
01
01
01
11
01
00
01
11
11
11
10
00
10
00
01
00
10
10
10
00
00
11
10
10
10
00
00
10
00
00
10
01
10
10
11
10
00
10
10
11
00
10
01
10
10
10
01
11
10
00
01
10
10
00
00
11
10
11
10
10
10
11
00
01
11
00
10
10
00
01
10
10
10
11
01
01
10
00
01
10
00
00
10
00
00
01
10
10
10
10
11
10
10
11
01
01
10
10
00
00
01
01
10
00
10
00
00
00
00
11
10
11
10
11
10
00
11
01
00
11
00
00
01
10
00
01
11
10
00
00
10
00
00
10
11
00
10
00
11
00
10
10
10
10
10
00
00
00
00
00
00
01
11
00
00
11
00
11
10
01
10
10
10
00
00
10
00
00
00
11
10
11
00
10
00
01
00
10
10
00
00
00
10
00
00
11
00
00
11
01
00
01
11
11
01
11
11
10
00
01
11
10
00
00
00
10
01
00
10
10
00
10
00
10
10
00
10
11
10
10
00
10
11
01
11
00
00
00
10
10
10
11
00
10
11
01
10
11
00
01
00
11
10
00
00
00
00
10
01
11
11
10
00
10
01
00
01
00
10
11
01
01
10
11
10
01
10
01
00
10
01
00
11
10
00
00
10
00
00
00
10
00
00
00
11
01
00
10
00
10
00
00
11
00
01
10
00
00
00
11
10
10
10
11
10
11
11
10
10
01
11
00
10
10
00
00
11
10
00
00
10
00
01
10
01
01
11
00
01
11
10
00
01
00
11
00
00
11
01
01
10
00
00
00
11
11
10
11
10
00
11
01
00
01
01
11
11
00
01
11
01
00
00
10
10
00
11
10
01
01
00
00
10
01
11
11
01
11
10
10
00
00
10
10
10
00
01
11
00
00
01
00
10
00
00
10
01
10
10
00
10
10
01
10
11
10
00
10
00
00
00
11
00
11
00
01
10
10
00
10
10
00
11
10
10
00
10
00
10
00
00
01
10
11
11
10
00
00
10
11
10
01
10
11
00
11
00
10
01
00
10
00
00
11
00
10
10
10
10
00
01
10
10
00
01
00
00
10
01
01
00
10
10
11
11
00
00
01
00
00
00
00
01
10
01
10
10
01
00
01
10
10
00
00
10
10
10
00
11
01
10
01
00
00
10
11
10
01
00
10
00
10
11
00
00
00
10
00
00
11
00
01
10
11
00
01
10
11
10
11
00
00
10
11
10
00
10
10
01
11
00
11
00
00
00
01
00
00
10
11
11
01
10
01
00
10
10
00
01
10
10
00
00
10
00
00
11
00
00
10
10
11
00
00
10
00
01
10
00
00
10
01
10
11
11
10
10
00
10
01
01
01
01
11
10
01
10
01
00
10
10
00
00
10
11
10
11
00
11
00
10
10
00
10
10
10
01
00
10
00
01
00
10
11
11
10
01
00
01
10
10
00
10
11
00
00
11
11
00
10
10
00
00
11
10
10
00
10
01
10
10
11
10
00
00
00
10
11
00
00
00
01
10
11
10
00
10
11
10
01
10
10
00
01
00
11
11
00
11
00
01
00
10
10
01
01
10
10
00
00
00
00
00
00
00
10
00
11
10
00
00
10
11
11
10
00
00
10
10
10
11
00
10
00
11
01
00
10
10
01
10
10
11
01
00
01
10
11
00
00
11
01
01
11
00
00
10
11
10
01
00
10
11
10
01
10
01
01
01
00
11
00
00
10
11
00
01
10
01
10
10
10
00
00
00
00
10
10
10
00
01
00
10
00
00
10
00
11
10
11
10
10
10
11
11
00
11
00
00
10
10
10
10
11
00
01
01
00
01
10
11
10
10
00
10
10
00
00
00
10
00
01
01
10
10
10
01
01
10
00
01
01
11
00
11
10
00
00
10
10
00
00
11
00
01
11
11
01
10
10
10
10
10
01
00
10
11
11
10
00
01
00
01
10
10
10
01
01
11
00
00
01
10
10
10
11
00
00
10
00
00
10
11
00
00
11
10
10
10
10
10
00
00
11
00
00
11
00
01
00
00
00
10
00
00
10
11
10
11
10
11
10
10
10
00
10
00
10
10
01
10
01
01
10
00
10
10
10
10
00
00
11
00
10
00
00
10
11
11
10
10
00
11
00
00
00
10
00
01
11
00
00
01
10
10
01
00
10
10
11
00
01
10
10
10
00
10
01
10
10
01
10
10
00
00
00
10
10
10
00
00
10
10
10
00
00
01
10
00
01
01
10
00
10
10
00
00
10
01
00
10
00
11
00
11
11
10
10
10
00
00
11
10
10
00
11
10
01
00
01
10
01
11
00
00
10
01
00
11
10
00
11
10
01
11
00
00
10
00
10
10
00
11
10
00
00
00
10
11
11
00
10
10
00
00
11
10
11
00
00
10
10
00
01
00
10
11
00
01
00
11
10
11
10
01
00
10
10
10
01
00
00
01
11
10
10
11
10
11
11
00
10
11
01
10
10
10
00
11
01
00
10
00
10
00
11
10
00
01
11
11
10
10
00
01
10
00
00
01
11
10
10
00
00
10
01
11
10
00
00
01
10
00
01
00
10
10
00
01
00
11
00
00
10
10
01
10
00
00
00
01
00
00
01
10
00
10
00
00
01
10
11
00
01
11
00
01
10
10
01
00
00
10
11
00
00
10
01
00
11
10
00
10
10
00
10
11
00
00
01
11
00
01
11
11
10
00
10
00
10
01
00
10
10
11
10
11
00
10
00
10
01
00
11
00
00
10
01
00
10
01
00
01
10
00
10
11
10
10
10
00
11
10
11
00
10
00
00
00
10
11
01
10
00
00
00
11
00
00
11
10
00
10
10
01
01
01
01
10
10
00
01
00
10
11
01
00
11
00
01
00
11
10
11
10
00
11
10
10
00
01
10
11
11
10
00
10
10
00
00
00
00
11
11
10
10
00
10
10
01
10
01
01
01
10
11
11
00
00
10
10
10
00
00
10
01
00
11
10
01
00
00
00
10
11
01
00
10
10
10
00
11
10
00
00
11
01
01
11
00
10
10
01
11
11
00
00
10
10
11
00
10
10
00
00
10
10
10
00
00
10
10
00
00
01
01
10
01
10
00
10
00
11
11
10
00
10
00
01
10
10
00
01
10
10
10
01
00
10
00
00
00
10
10
10
11
01
00
11
10
10
00
00
00
10
11
00
10
01
00
01
10
10
10
00
00
00
01
10
00
00
10
10
10
01
01
00
11
10
10
00
10
00
11
10
10
00
10
10
10
01
01
10
10
00
00
00
10
11
00
01
11
00
00
10
11
01
11
10
10
01
11
11
00
01
01
10
01
10
10
01
10
10
00
00
01
11
10
11
10
01
01
10
00
01
11
11
10
01
00
11
11
10
01
01
01
00
01
11
00
11
10
11
00
00
00
10
00
00
10
10
01
00
00
10
11
00
10
11
11
00
00
11
00
00
10
11
01
01
11
00
10
01
00
10
00
00
11
01
00
00
00
11
10
01
11
10
01
00
01
10
10
01
10
00
00
11
10
11
00
10
11
00
00
00
11
10
01
10
00
00
11
11
11
11
00
10
00
11
10
00
00
11
10
00
00
10
00
11
11
00
11
10
11
00
11
10
00
11
01
00
11
00
00
11
00
11
01
00
01
01
00
11
11
01
00
10
00
10
10
00
10
10
00
01
01
01
11
10
01
00
00
11
10
10
01
10
10
10
01
10
00
10
10
00
00
11
00
00
10
10
00
10
10
10
00
10
01
00
00
00
10
00
00
11
10
00
10
10
00
01
01
10
10
01
11
01
10
00
01
10
11
00
11
10
00
00
10
01
01
10
00
11
00
01
10
00
00
00
00
00
10
10
10
00
00
10
10
10
10
01
00
01
10
01
00
00
11
11
01
10
00
00
00
10
11
01
00
11
10
00
10
00
00
01
11
11
10
10
00
11
10
01
00
10
00
10
11
01
10
10
00
10
00
10
01
00
11
10
10
10
10
10
10
11
00
00
00
10
10
00
10
10
00
01
10
11
10
11
10
00
11
00
00
10
01
01
10
10
10
00
01
11
00
00
10
00
11
00
10
11
00
00
00
00
00
10
10
10
00
00
00
00
01
10
11
10
00
01
01
11
10
10
01
00
11
00
00
10
00
01
11
00
00
10
11
01
10
01
11
00
11
11
10
10
10
00
00
00
11
10
01
11
01
00
00
10
00
00
10
11
00
11
10
00
10
11
11
00
01
10
00
10
01
10
00
11
00
01
10
01
00
01
10
11
10
10
01
00
10
10
11
00
00
10
10
00
01
11
00
01
10
01
10
10
10
00
00
10
10
00
11
10
00
00
00
11
11
10
10
00
10
01
01
00
00
00
10
10
10
00
00
11
10
10
11
00
11
10
11
00
00
10
01
10
10
00
01
00
01
10
10
11
10
10
00
00
00
11
00
10
11
10
01
10
00
00
10
10
00
00
11
00
00
00
01
00
10
10
00
00
10
11
11
00
10
10
00
10
10
01
00
00
00
00
10
11
00
10
10
01
01
01
00
11
11
10
00
01
10
10
00
11
11
11
01
01
10
00
01
10
11
01
00
10
10
00
01
10
10
10
10
00
01
00
00
11
10
00
11
10
10
01
00
01
01
10
11
00
00
11
11
11
01
11
10
00
00
10
11
00
11
10
11
01
10
00
00
10
11
11
00
00
11
10
01
01
10
00
11
10
00
10
01
00
10
10
00
00
00
01
11
01
10
00
11
00
00
10
10
10
11
00
01
01
10
00
01
00
11
10
00
10
00
00
10
10
01
01
10
10
00
00
01
10
00
11
01
10
01
10
11
01
10
01
00
11
01
10
10
11
00
10
01
00
00
10
01
00
01
10
11
01
10
11
10
10
00
10
10
10
00
11
10
10
01
11
00
10
00
01
10
00
00
00
10
01
10
11
00
10
10
00
00
11
10
01
00
01
10
00
00
00
10
00
11
10
10
00
00
10
10
11
10
00
00
00
10
11
00
01
00
10
00
01
00
11
01
00
00
11
00
11
10
11
00
10
10
00
00
10
10
00
11
01
10
00
00
00
01
10
10
10
00
00
10
00
00
01
00
00
00
00
00
01
10
10
10
00
10
01
10
11
10
00
10
00
11
01
10
10
10
10
00
10
10
00
00
10
01
00
00
00
11
00
01
10
01
00
10
11
11
01
01
10
11
01
10
10
01
00
10
00
00
00
10
10
00
10
10
00
10
00
10
00
00
10
11
00
10
11
10
00
01
10
01
10
10
10
00
11
00
11
10
00
10
10
00
10
11
00
00
00
11
00
11
11
10
11
10
01
10
00
00
00
00
10
10
00
01
10
10
00
10
01
00
11
11
00
11
00
11
10
10
00
01
00
00
00
11
00
00
11
11
01
10
00
00
11
10
00
00
10
11
00
00
10
00
00
01
10
01
01
10
01
01
01
11
11
01
10
01
00
10
00
01
10
00
00
11
10
10
00
10
00
00
00
10
01
00
01
11
01
01
01
10
10
01
10
00
01
10
00
00
11
10
10
01
00
10
10
00
00
11
00
11
11
10
10
00
01
10
00
01
11
01
01
00
10
11
00
00
10
00
00
10
00
11
00
11
10
00
00
00
11
00
11
10
10
01
10
10
10
00
00
10
00
10
00
00
10
01
00
00
00
11
11
11
00
01
00
00
00
11
10
10
00
10
01
00
11
00
00
10
11
10
11
11
10
10
01
10
10
01
00
11
00
10
10
10
00
01
00
11
01
11
11
00
11
10
00
10
10
01
00
10
10
01
10
01
11
00
10
10
10
00
01
00
10
11
01
10
01
10
11
00
01
10
00
11
00
11
00
10
10
10
00
11
10
00
10
10
00
10
00
10
10
01
01
00
00
11
10
01
01
11
10
00
10
10
00
00
00
01
10
11
10
00
00
10
01
11
00
00
00
00
00
10
10
00
10
01
01
10
11
11
00
00
10
01
01
11
11
01
01
10
11
00
11
10
01
01
10
00
01
01
11
10
01
10
01
00
00
01
10
10
00
00
11
00
10
10
10
01
00
10
00
00
00
01
11
11
10
00
01
00
10
00
00
00
00
00
11
00
10
10
00
00
11
10
01
10
10
01
10
01
00
11
00
11
00
11
01
00
11
11
10
10
10
01
10
00
01
11
00
10
11
00
01
10
00
11
00
10
10
10
01
10
00
00
11
11
01
10
11
01
01
01
10
00
00
00
10
10
10
01
00
10
11
10
01
00
00
11
10
10
00
11
00
10
10
01
00
10
10
10
10
10
00
00
10
10
00
10
10
11
10
01
01
01
01
11
10
00
00
10
10
00
01
11
00
01
00
10
10
10
00
01
00
00
00
11
00
00
10
10
01
11
10
11
00
00
01
10
01
00
11
10
10
00
10
11
00
10
01
10
01
11
00
11
01
00
10
10
01
00
10
10
00
00
01
00
10
11
10
11
00
11
10
00
01
00
00
10
10
01
10
10
01
00
01
00
10
10
10
01
00
00
01
00
00
11
10
00
01
11
00
10
10
10
00
10
01
01
11
11
00
00
00
11
00
00
10
00
01
11
00
10
11
10
11
10
11
10
01
00
01
00
10
10
00
01
10
11
00
00
00
10
10
11
10
00
10
00
10
10
01
01
01
10
00
11
00
10
11
01
00
10
11
00
10
01
01
10
11
00
01
00
11
11
10
01
00
00
10
00
10
10
00
00
11
00
10
00
01
10
00
00
10
01
00
10
10
10
00
11
00
01
11
10
10
11
00
10
00
10
00
10
00
01
11
01
00
10
00
00
11
01
00
10
01
11
01
10
10
00
00
10
11
01
00
00
10
00
01
11
11
00
01
01
10
00
00
11
11
10
00
10
10
10
10
00
10
11
00
11
01
00
10
01
10
11
01
00
00
11
10
11
01
00
00
10
11
00
10
00
00
11
10
01
00
00
10
01
10
10
00
01
00
00
10
10
10
01
10
00
00
10
11
10
00
11
00
00
01
01
11
11
00
00
00
00
10
00
00
10
11
10
10
00
10
10
01
10
01
00
00
11
10
10
10
00
01
01
11
10
11
00
01
11
01
00
10
00
10
10
00
01
11
00
00
11
01
11
00
01
00
10
00
10
10
01
10
11
00
00
10
00
00
10
10
01
00
11
00
00
11
00
11
10
11
00
10
10
11
10
00
01
10
10
01
11
10
00
00
01
01
11
11
00
00
10
11
10
10
00
01
00
10
10
10
01
11
11
01
01
11
10
10
00
00
00
10
01
10
11
01
10
11
01
11
00
00
11
01
00
10
01
00
10
10
11
10
01
00
00
00
00
01
10
10
00
10
01
01
00
10
10
11
10
01
00
10
10
01
10
10
10
00
01
00
01
10
10
11
00
01
00
00
10
01
10
01
01
10
10
01
00
10
10
01
10
10
01
00
10
10
11
00
00
11
10
10
00
11
10
01
00
00
11
10
10
00
10
10
10
11
11
01
11
00
10
00
00
10
10
00
00
00
10
11
01
00
10
00
10
11
00
10
00
01
11
10
00
10
00
01
00
00
11
00
00
00
01
10
10
10
11
10
00
00
00
01
00
00
11
10
01
00
01
10
11
00
00
01
11
00
00
01
10
10
01
10
10
01
00
00
01
00
10
00
01
01
10
10
00
00
01
10
00
10
01
00
10
01
00
00
00
10
11
10
10
10
11
00
10
00
10
10
10
10
01
00
00
01
11
11
11
00
00
00
01
10
10
00
01
11
00
00
10
10
00
00
00
11
10
11
11
01
00
10
10
01
00
10
11
10
00
01
11
00
10
00
11
10
00
11
00
01
11
01
00
11
00
00
00
10
01
00
10
10
00
00
00
00
01
10
00
00
01
10
01
01
11
00
10
10
01
10
10
10
10
01
00
10
00
00
00
01
00
11
10
00
00
10
00
00
10
10
01
10
01
00
01
11
01
11
10
01
00
00
01
00
10
11
01
00
10
01
01
00
10
10
01
10
10
10
01
00
11
10
11
01
11
10
01
01
00
01
00
01
00
11
10
01
10
11
00
01
10
10
00
00
00
11
00
10
10
01
11
00
00
10
11
00
11
10
00
00
01
11
10
10
00
01
11
11
00
10
11
00
10
00
11
10
10
00
00
10
10
10
00
10
11
00
00
10
00
10
00
00
00
00
11
01
10
00
00
00
00
11
01
10
11
00
11
01
00
00
01
01
10
10
01
10
11
00
01
01
11
11
00
10
10
00
01
00
10
10
11
11
10
10
00
11
00
10
10
10
01
00
11
00
11
11
01
01
10
10
00
00
00
10
11
11
00
01
01
11
00
11
00
00
10
11
00
00
10
01
10
00
00
10
11
10
10
00
01
00
10
10
10
10
00
01
10
10
00
10
01
10
10
00
11
10
00
01
01
01
10
10
10
00
10
01
00
10
10
00
00
10
01
00
00
00
10
10
11
00
11
00
11
10
01
00
10
00
01
00
11
01
01
11
10
10
10
11
00
00
10
00
01
10
00
10
00
01
01
01
00
11
01
00
10
10
01
10
10
10
00
00
00
10
10
01
00
01
01
11
00
10
10
00
10
00
10
11
00
10
10
10
00
11
00
10
00
00
01
11
10
01
10
11
10
10
10
10
00
00
01
11
10
10
00
00
00
00
00
01
00
10
00
01
10
01
00
10
00
00
00
01
10
11
01
00
10
01
00
11
10
01
00
11
11
11
11
10
00
10
01
00
00
10
10
00
10
01
01
00
00
10
11
10
10
00
01
11
00
01
10
10
10
10
10
00
00
11
00
10
00
10
00
10
00
10
00
01
10
10
00
10
00
00
01
11
00
11
00
01
00
10
10
00
11
11
00
01
01
01
00
10
00
00
10
11
00
00
10
10
00
11
10
10
10
01
10
10
10
01
00
11
10
10
00
00
00
11
10
01
01
10
10
10
00
10
11
01
10
00
00
10
10
01
00
00
00
11
10
10
10
11
11
00
11
10
01
10
00
00
10
00
11
10
10
10
10
00
10
10
00
00
00
11
11
10
11
10
00
01
11
01
10
10
00
00
11
01
10
11
11
11
01
01
01
00
10
10
11
00
01
01
10
10
00
10
10
10
00
00
00
01
01
10
00
00
01
10
11
11
10
00
11
00
01
10
11
01
00
10
10
11
11
10
00
00
00
00
00
00
00
11
00
10
11
00
00
10
01
00
10
10
10
10
00
11
10
00
01
11
10
00
00
10
00
00
01
01
01
11
01
00
10
01
01
01
11
10
00
01
11
01
00
10
10
10
00
10
10
00
00
10
01
00
10
01
00
11
01
00
00
11
00
01
10
10
10
00
01
10
01
01
00
00
00
01
11
10
00
01
11
01
01
01
11
01
00
11
10
11
10
01
00
00
11
11
00
00
01
11
01
10
11
10
01
10
11
00
00
01
10
10
00
10
10
11
01
01
10
11
00
11
10
00
10
10
01
01
11
10
01
11
11
10
01
01
11
00
00
11
10
00
00
00
11
01
00
10
00
00
00
01
10
00
00
10
10
10
01
01
01
01
11
10
01
00
11
10
00
00
10
11
00
00
10
10
01
10
10
11
10
11
10
10
00
10
00
10
11
11
00
00
10
10
10
00
11
10
00
01
11
00
11
00
10
01
00
10
10
10
00
00
01
00
11
00
01
10
01
10
11
11
00
00
10
01
00
10
01
10
01
11
00
10
10
01
11
00
00
10
11
11
10
10
00
00
10
01
00
10
10
00
00
11
10
01
11
10
01
10
11
11
10
10
11
00
01
00
00
00
10
10
11
00
00
10
10
00
00
11
00
00
00
10
11
11
10
01
11
10
10
10
01
01
01
10
10
00
11
10
01
00
10
10
11
00
01
00
10
01
10
11
01
00
00
11
00
00
10
00
01
10
10
10
11
00
10
00
10
01
01
10
01
11
00
10
00
11
00
00
11
00
00
01
11
01
01
10
10
00
01
01
11
11
00
11
10
11
01
10
11
11
00
00
00
01
10
10
01
10
10
00
10
01
01
00
00
00
10
10
10
10
00
01
10
10
00
10
10
01
00
10
00
00
11
00
00
00
01
10
00
11
10
10
11
00
10
10
01
11
10
00
10
10
01
11
00
01
11
00
01
10
11
10
00
01
11
11
00
10
11
01
00
11
00
11
10
01
10
00
00
11
10
00
10
10
10
01
00
11
10
01
01
10
10
01
00
10
00
00
11
11
11
10
01
10
01
10
00
10
10
10
01
00
00
01
10
11
00
00
10
11
01
11
00
00
10
00
00
00
10
10
10
00
00
10
10
00
00
10
00
00
11
00
11
10
00
00
10
10
10
10
00
10
00
01
00
11
01
00
10
10
10
00
10
10
01
11
01
01
11
10
10
00
10
00
00
00
11
01
00
00
01
00
11
00
11
10
11
00
00
11
10
11
00
00
10
10
01
10
10
01
10
10
00
10
00
00
00
11
10
01
00
10
10
00
00
10
11
01
00
00
00
00
11
10
01
10
10
00
10
01
01
00
10
00
01
00
00
10
10
00
00
01
00
11
10
00
11
10
00
10
10
01
11
11
00
01
00
01
10
00
11
00
10
00
00
11
10
00
00
01
10
01
10
01
00
10
10
10
10
01
11
11
10
00
10
10
10
00
00
00
01
10
10
11
10
11
10
10
00
11
10
00
10
10
10
11
00
00
00
11
10
10
00
01
00
00
00
10
00
00
01
00
01
00
10
00
11
10
01
00
10
00
01
10
10
10
10
00
11
10
01
10
01
10
01
01
11
10
00
00
11
00
00
01
11
11
01
10
01
10
10
00
10
10
00
01
10
01
11
10
01
00
11
10
01
10
00
00
10
11
00
00
11
11
11
00
01
01
10
11
10
10
10
00
01
10
10
00
10
11
00
00
00
11
00
01
10
00
00
00
10
10
10
10
00
10
00
00
10
01
00
11
10
10
01
10
00
00
10
10
00
10
10
11
11
11
00
00
10
01
01
10
00
00
01
10
10
00
00
10
10
00
11
10
11
00
00
10
01
00
10
11
01
00
11
00
11
01
00
10
00
00
10
10
00
00
11
10
11
10
01
10
01
00
00
01
10
11
00
10
10
10
00
11
10
00
00
10
00
10
01
10
10
00
10
01
00
00
00
00
01
01
00
00
11
00
00
10
00
11
00
10
00
00
00
11
11
00
10
00
11
00
10
00
10
10
00
11
00
01
00
01
10
01
00
11
11
01
00
11
10
01
10
10
00
00
11
10
00
00
11
10
01
10
11
11
01
11
10
00
10
10
00
10
10
01
01
10
10
00
01
00
11
00
00
01
00
01
11
11
11
00
00
00
10
10
01
00
10
11
10
00
11
00
01
11
10
10
01
10
10
00
10
10
01
11
11
00
11
01
00
00
01
00
11
10
01
01
01
00
10
10
01
10
11
00
11
01
01
11
10
10
10
00
01
11
10
00
00
10
00
11
00
01
10
10
01
01
10
00
10
01
10
00
11
00
00
10
11
00
00
11
10
10
00
11
10
10
01
11
11
01
01
10
10
10
01
10
10
01
00
01
11
00
11
01
10
10
10
10
00
01
01
00
10
10
11
11
00
00
10
10
01
00
00
11
10
00
10
10
10
11
00
01
00
01
00
10
10
10
01
11
00
00
10
11
10
01
01
11
10
00
01
00
11
10
10
01
00
00
10
10
00
00
10
00
10
10
00
10
00
11
00
01
00
10
11
01
01
11
10
00
10
11
01
00
11
10
10
00
00
11
00
00
10
01
00
01
00
10
10
01
10
10
00
00
00
00
00
11
00
00
01
00
11
00
10
10
10
01
01
11
10
00
11
00
10
00
01
11
10
10
00
00
11
10
11
10
10
10
10
00
10
10
01
10
00
10
00
00
10
01
10
11
00
10
00
11
01
00
11
10
01
01
01
00
10
10
10
10
00
01
11
00
01
11
10
00
01
00
00
01
10
00
00
10
00
00
11
10
11
00
01
10
01
01
00
11
10
10
01
01
11
00
11
00
00
11
00
00
10
00
01
10
10
11
01
10
11
01
11
10
00
00
10
00
10
00
00
11
10
10
01
00
10
00
00
10
10
10
01
00
11
10
00
00
10
10
00
10
10
00
00
01
10
10
01
10
10
11
01
01
01
01
10
10
11
00
01
10
11
00
00
10
11
11
00
10
11
00
00
10
10
00
01
10
01
01
10
10
11
11
00
00
10
10
01
00
11
00
00
10
00
10
10
00
00
10
01
00
00
01
01
00
11
10
10
00
10
00
01
01
10
01
10
01
01
10
01
01
10
00
10
10
10
10
01
11
10
00
10
11
00
01
01
11
10
01
00
10
10
01
10
01
00
10
00
00
00
01
00
01
10
01
01
01
11
11
10
00
00
10
10
00
00
10
11
10
10
00
01
10
00
01
00
11
11
10
10
00
00
10
00
00
11
10
01
01
00
10
01
10
00
00
10
01
01
01
00
00
11
00
01
11
01
01
10
00
10
10
00
10
00
00
10
00
10
00
10
10
10
11
11
00
10
00
00
10
01
01
10
00
11
10
11
00
00
00
00
11
10
01
00
10
00
00
10
10
10
01
10
10
11
10
00
11
10
10
00
00
01
00
01
00
10
10
10
00
11
00
00
10
10
00
11
10
11
11
01
10
11
10
00
10
00
00
11
00
11
00
01
00
01
00
01
11
10
10
10
10
00
10
10
10
10
01
00
11
10
10
00
10
01
10
10
00
10
00
00
00
11
10
00
11
00
10
10
00
00
10
10
10
10
01
10
00
01
00
11
00
10
11
10
00
11
11
01
11
10
10
00
11
10
00
00
11
10
11
00
01
00
10
10
10
01
11
10
01
00
01
10
00
01
10
11
01
10
10
00
00
11
10
01
10
10
11
10
10
00
00
10
10
00
01
11
00
10
00
01
10
01
00
11
00
00
10
00
10
11
10
00
00
10
10
10
00
00
10
00
01
00
11
10
10
11
10
00
11
01
11
01
00
10
11
11
00
00
10
10
01
10
10
10
01
00
10
01
00
10
10
00
00
10
11
01
00
01
11
01
01
10
10
10
10
01
01
10
10
01
10
11
01
00
00
01
11
00
10
10
00
01
00
00
11
01
00
00
00
10
10
01
01
01
11
01
01
10
00
11
10
00
00
11
01
10
10
00
00
00
00
00
10
10
00
00
10
01
00
00
11
11
11
01
10
10
11
10
01
11
10
00
01
00
10
10
00
11
11
00
11
10
00
10
11
01
01
10
10
00
10
11
10
11
01
00
01
01
10
10
10
01
10
10
10
10
01
01
10
01
01
10
10
00
00
10
10
00
00
10
00
10
10
00
00
00
11
00
00
10
00
01
00
10
01
10
01
10
00
10
11
00
10
10
10
10
11
10
00
00
10
10
00
00
10
00
10
11
00
01
00
00
11
10
10
00
01
10
00
10
01
10
10
00
10
01
10
11
01
00
00
10
00
00
10
10
10
00
00
10
10
00
10
00
00
10
10
01
11
11
01
00
10
00
01
01
10
11
01
11
00
11
10
01
00
00
11
11
10
01
01
10
01
00
01
10
10
00
01
01
10
00
01
00
00
10
10
11
10
01
00
10
00
00
00
00
11
11
00
00
10
01
00
10
00
10
00
00
10
00
00
10
10
10
10
10
10
10
10
00
10
00
11
01
10
11
01
10
01
01
10
00
01
10
01
10
10
10
10
01
10
00
01
10
11
10
10
11
00
00
00
00
11
11
00
10
11
11
11
10
11
00
00
10
00
10
10
11
01
10
01
00
10
01
10
10
01
10
00
00
01
10
11
00
01
00
01
00
10
10
00
01
10
10
11
10
00
11
00
11
00
00
10
00
01
00
10
11
00
10
01
00
01
00
01
10
00
01
10
10
01
01
01
01
00
10
01
00
11
00
10
11
10
10
01
01
00
00
10
00
11
00
10
10
11
01
10
10
01
00
10
10
01
01
01
11
11
00
00
00
10
10
00
00
10
00
00
10
01
10
10
01
00
10
00
11
11
00
10
00
10
11
10
10
00
01
11
10
10
10
00
10
10
00
00
00
11
01
10
01
01
00
10
10
00
10
11
00
10
10
00
10
10
01
00
00
11
00
01
00
10
10
00
10
00
00
10
10
00
00
01
01
01
01
10
11
11
11
00
00
11
00
11
10
00
00
10
10
11
00
01
11
10
10
01
00
01
11
10
10
01
01
00
10
10
10
01
00
10
00
11
11
01
10
01
10
01
11
01
00
11
10
01
11
11
11
01
10
11
10
00
01
10
10
00
00
00
01
10
10
00
11
10
11
01
00
01
11
10
10
00
01
01
00
10
10
11
00
11
10
00
00
01
00
10
00
00
01
00
00
10
10
10
10
10
00
10
11
10
00
01
00
10
01
00
00
00
00
00
00
10
10
00
10
10
10
10
10
10
11
10
11
00
00
10
00
01
00
00
10
11
00
11
10
10
11
10
00
00
10
11
10
11
10
11
10
01
00
10
00
00
00
00
00
10
01
10
00
01
10
10
10
11
01
10
01
00
10
11
00
11
10
11
00
00
00
00
00
11
10
00
10
00
10
11
01
11
00
01
00
00
00
00
10
10
11
01
11
10
10
00
01
00
11
10
00
00
00
01
00
01
11
10
00
10
01
10
10
00
11
11
01
01
10
01
10
01
10
10
00
11
00
00
10
11
11
01
00
01
01
10
00
00
10
10
00
11
00
10
01
11
11
11
00
00
10
00
00
10
10
00
00
10
00
11
00
01
00
11
10
10
11
01
00
11
10
00
11
11
00
01
00
11
00
10
10
11
11
01
11
01
01
01
10
00
10
10
00
01
10
00
11
01
10
10
01
11
10
00
01
00
11
00
00
01
10
00
11
00
01
01
00
10
10
01
10
00
00
01
10
00
10
11
10
01
10
10
00
01
10
11
00
00
00
10
00
00
10
10
00
01
10
00
01
10
10
01
10
00
11
10
10
11
00
11
01
00
11
10
10
00
00
10
11
01
01
00
00
10
10
10
10
01
00
10
11
00
00
11
00
11
10
00
11
00
01
00
10
11
00
10
10
01
00
11
10
00
10
11
11
10
10
00
10
00
11
00
00
10
01
10
10
10
11
00
00
00
01
10
10
10
11
01
10
10
01
00
01
10
10
00
00
11
00
10
00
11
00
00
00
11
10
10
00
01
11
11
11
00
11
00
01
10
10
00
00
00
10
10
10
01
10
01
10
10
10
11
00
00
11
10
01
01
10
10
10
00
11
10
00
00
10
10
01
00
11
11
10
01
00
10
10
00
01
00
00
01
01
00
10
00
01
10
11
00
10
00
00
00
00
11
11
10
00
00
10
11
10
00
00
01
11
01
01
11
01
11
10
01
00
00
10
10
10
10
11
10
00
11
00
00
11
10
00
10
10
00
00
11
10
00
00
10
10
10
00
10
10
00
01
10
00
00
10
01
00
11
10
00
11
10
00
01
10
11
10
10
00
11
10
11
10
00
00
10
11
00
00
11
00
10
11
01
00
01
10
10
00
01
11
10
00
01
11
10
00
10
10
00
10
00
11
11
11
01
10
10
10
10
00
01
10
11
11
00
10
10
10
00
00
11
10
01
00
10
00
01
10
10
00
00
10
10
11
10
11
10
11
10
10
01
00
01
11
11
00
10
10
00
00
10
10
00
00
00
00
01
10
01
00
10
00
11
10
10
10
01
00
00
00
11
00
01
11
10
01
10
11
01
00
10
01
10
00
10
10
01
01
01
11
10
10
00
00
01
10
11
00
00
10
10
11
01
11
00
11
11
10
01
10
10
00
10
01
11
10
01
10
00
01
01
10
01
10
10
11
00
00
00
11
11
10
10
01
10
10
11
10
01
10
11
10
00
01
00
01
11
10
11
00
11
10
10
01
00
00
01
00
10
00
11
10
00
10
00
01
00
00
10
01
10
11
11
00
01
10
10
11
00
10
10
00
01
11
01
01
10
01
00
00
10
11
10
00
00
10
10
00
11
10
01
10
00
11
10
00
01
00
10
01
10
11
01
01
10
10
01
00
00
10
00
01
10
01
10
10
00
00
10
00
00
10
00
00
01
10
10
10
01
01
00
10
00
10
10
10
10
01
00
11
00
00
00
10
00
11
00
01
10
01
00
00
01
10
11
00
11
10
10
00
10
10
00
00
10
10
00
10
10
00
10
01
00
10
10
01
00
01
00
00
10
00
11
00
01
11
10
01
10
01
00
10
11
11
01
00
01
00
01
10
11
00
00
10
11
11
00
00
00
00
01
10
11
00
00
00
10
00
01
01
11
01
10
10
00
00
10
10
00
00
10
11
10
10
10
10
00
00
00
00
00
00
00
01
10
10
10
11
11
10
11
11
11
00
01
01
01
10
10
11
00
01
01
10
10
00
00
10
01
01
00
11
00
10
10
11
00
11
10
10
00
00
10
11
00
10
10
00
11
10
01
00
10
11
00
11
00
00
10
00
10
00
11
10
00
01
00
10
00
00
10
11
00
01
11
01
00
10
00
10
11
10
01
00
10
10
10
11
00
00
11
01
10
00
01
00
10
10
01
00
00
10
11
00
00
01
11
00
10
10
10
01
00
10
11
10
00
01
00
10
10
00
00
10
01
10
00
10
01
10
10
10
01
00
11
11
00
10
00
00
10
11
01
10
11
01
01
11
11
01
01
01
10
10
00
00
10
10
00
00
00
01
10
10
10
00
00
00
00
10
10
00
10
00
11
01
10
01
10
11
00
00
10
11
10
11
00
10
00
10
10
00
10
00
00
01
01
10
10
00
00
10
11
11
11
00
01
10
01
10
00
00
10
10
01
01
11
10
11
10
00
00
00
00
10
00
00
10
10
11
00
11
10
01
00
11
10
11
10
00
10
11
10
00
10
00
10
00
10
00
10
01
10
01
00
01
10
00
00
00
10
10
01
00
10
10
10
00
10
00
11
10
10
10
10
10
01
10
00
01
11
01
01
00
10
01
10
01
00
11
10
10
00
00
10
10
00
01
01
01
01
10
11
01
10
10
01
01
10
01
10
11
01
00
11
10
01
10
00
00
10
11
10
00
11
01
01
10
00
00
10
00
10
10
00
01
00
01
00
00
10
11
10
10
11
00
00
00
11
00
00
11
10
00
10
11
10
10
00
00
01
00
00
10
10
10
01
00
00
10
11
00
00
10
01
10
00
10
10
01
10
10
10
00
01
00
10
00
10
10
11
01
01
01
00
10
10
01
01
01
10
11
00
10
00
01
11
11
11
10
10
00
00
10
11
00
01
00
10
11
00
10
11
10
00
01
01
11
00
00
11
10
00
10
00
00
11
01
00
10
00
11
01
00
11
10
00
00
00
01
00
11
11
11
10
00
01
01
01
10
00
00
11
11
01
00
10
10
00
10
00
10
01
00
10
00
10
11
10
10
10
10
01
10
01
00
01
01
00
10
10
01
00
10
10
00
10
11
00
10
00
00
10
11
01
00
11
01
10
10
10
01
10
10
00
00
11
01
00
00
10
00
10
00
10
01
11
11
01
00
00
00
01
10
10
01
00
01
10
10
01
01
10
10
10
01
00
01
00
01
01
01
10
11
01
00
01
10
10
10
10
01
10
11
00
10
10
00
00
10
10
00
10
00
10
11
11
00
00
11
00
01
00
10
10
10
11
00
01
10
11
01
00
10
10
00
01
10
11
10
00
10
00
10
10
01
10
00
01
10
10
10
10
10
00
00
10
10
11
10
11
00
00
11
10
11
11
01
01
01
11
00
00
10
00
01
10
10
00
11
10
10
01
00
00
01
11
10
00
00
01
01
10
11
01
01
11
10
10
00
01
00
10
10
01
00
10
10
11
00
10
11
00
10
00
10
00
01
00
10
00
11
10
01
11
11
00
00
00
00
10
00
11
11
00
11
00
11
11
00
10
01
10
11
00
00
00
10
00
10
10
00
10
10
10
00
01
10
10
00
01
10
00
11
10
10
10
01
00
00
01
01
10
00
10
11
10
01
00
00
10
00
01
10
00
11
11
10
10
01
00
00
11
00
11
10
11
00
01
00
10
10
00
11
11
10
01
00
00
10
10
01
11
00
00
01
11
10
11
10
01
10
10
00
10
10
11
00
01
10
10
00
10
11
00
10
01
00
00
00
00
11
11
10
10
01
11
11
10
00
10
00
00
00
10
10
00
11
01
10
10
00
11
10
11
10
00
11
01
01
10
00
00
00
10
10
10
00
01
01
00
00
01
11
00
01
10
10
10
00
00
11
10
00
00
10
10
00
11
10
10
01
01
11
11
10
00
00
11
00
01
11
10
11
10
00
11
10
01
01
10
10
01
10
10
10
00
00
01
10
00
10
00
01
00
11
10
00
00
01
11
10
10
01
00
11
10
00
00
01
11
11
11
00
10
11
00
00
11
11
00
00
10
10
10
10
00
00
11
10
11
10
10
10
11
00
00
11
11
11
00
10
10
10
01
01
10
10
00
01
01
01
00
11
10
01
01
10
10
01
10
10
00
10
01
00
00
00
00
10
11
11
11
10
00
11
10
10
11
10
00
00
01
00
11
01
11
10
00
00
11
10
00
10
10
01
00
00
10
11
10
10
00
00
01
10
11
00
00
00
01
10
10
11
01
10
10
10
00
00
10
10
00
10
00
00
01
11
11
11
10
10
00
10
01
10
10
01
10
01
00
10
10
01
11
11
11
00
01
10
01
01
00
00
10
11
01
00
10
00
00
10
00
00
01
11
10
10
01
10
10
11
00
01
01
00
01
10
00
01
10
10
00
01
11
10
00
10
10
10
11
00
01
10
10
01
00
10
10
00
00
11
10
01
00
00
10
11
10
00
01
10
11
10
00
00
00
11
00
10
10
10
00
00
01
10
11
10
10
00
00
10
01
11
10
01
00
01
11
11
00
10
00
10
00
00
00
11
10
00
00
10
10
11
01
01
01
00
11
10
00
11
11
00
01
11
10
00
01
10
00
10
10
00
01
00
10
10
00
00
10
10
10
11
10
00
00
10
10
10
00
00
00
01
01
10
10
00
10
00
10
10
01
00
01
00
11
00
10
10
11
10
00
11
00
10
10
11
00
10
10
00
11
00
10
11
00
00
00
10
10
01
00
01
10
10
01
10
01
10
10
01
10
10
10
11
00
00
11
00
11
10
01
10
10
11
00
00
11
10
00
10
11
10
01
10
11
10
11
11
01
01
10
00
00
10
10
10
00
00
10
00
11
00
10
10
00
00
01
10
01
10
11
10
00
10
10
00
01
11
10
01
00
10
00
01
00
00
10
10
00
10
10
10
01
00
10
00
00
00
10
11
00
00
00
10
11
00
01
11
10
10
01
10
10
00
01
10
00
00
10
00
01
11
10
01
00
01
11
10
10
00
00
11
11
10
01
10
00
11
00
10
10
11
00
00
00
01
11
01
11
00
11
10
01
11
11
00
01
10
00
11
10
01
00
01
10
00
10
10
00
10
10
00
00
10
11
01
01
11
00
11
01
10
00
00
10
10
00
01
01
10
10
00
01
00
10
10
00
11
01
10
10
00
00
10
01
00
10
11
00
10
10
10
00
01
00
00
11
11
10
10
10
00
00
10
10
11
11
11
01
11
10
01
00
00
10
11
00
01
00
00
00
10
10
10
10
01
10
01
01
11
00
10
01
00
01
11
10
10
10
00
00
10
11
00
00
10
10
01
00
10
00
00
10
10
10
10
10
00
00
00
00
00
00
01
01
11
11
00
10
00
11
01
00
10
11
11
00
10
01
11
10
10
01
00
11
00
01
10
10
00
00
00
10
00
00
00
10
00
01
00
11
10
00
01
11
00
10
00
01
01
10
11
00
10
00
11
10
00
00
00
00
11
10
00
11
10
10
00
01
10
11
11
00
00
00
00
11
10
00
10
10
10
00
01
00
11
10
00
00
10
10
10
00
00
10
10
00
01
00
01
00
00
10
10
00
10
01
00
11
10
11
01
10
10
00
00
00
10
10
11
00
00
00
11
01
00
00
10
00
00
01
10
10
00
00
01
11
00
00
00
11
11
01
10
10
10
10
10
01
01
11
10
01
10
00
10
00
00
10
10
00
10
11
01
10
10
01
00
11
10
00
10
10
00
01
00
00
10
10
00
10
10
11
01
00
01
00
10
00
00
10
10
10
00
10
00
00
00
10
00
10
00
00
00
00
01
00
10
00
00
11
01
11
00
10
10
00
01
11
11
11
00
01
10
00
00
00
10
10
11
01
00
01
11
00
00
00
00
01
10
11
00
10
10
00
00
10
01
01
01
10
01
00
00
00
00
11
11
11
00
00
11
01
01
00
10
10
00
10
10
10
00
01
10
11
00
11
10
10
00
00
11
10
10
00
01
10
00
00
01
10
11
00
00
00
00
10
10
11
00
00
11
00
00
10
10
00
00
00
11
10
00
00
10
01
00
00
00
11
10
01
11
11
11
10
01
00
10
00
11
10
00
00
10
11
10
10
10
00
00
10
11
01
10
01
00
00
01
00
00
10
11
11
00
00
11
10
00
10
11
01
10
00
01
01
10
00
01
11
10
00
00
11
01
00
00
00
00
11
10
01
10
11
01
10
10
00
10
10
01
01
11
01
00
00
11
01
00
11
00
00
11
10
11
01
01
01
11
10
01
11
11
00
11
10
01
00
00
00
10
00
01
00
11
11
00
00
10
00
10
00
10
00
11
01
00
00
11
01
10
10
00
00
10
00
10
10
01
01
01
10
11
10
11
00
01
01
11
00
00
11
10
00
01
10
11
11
01
00
00
10
00
00
11
00
11
10
00
10
11
00
11
00
00
11
00
11
01
01
11
11
01
10
10
10
00
01
10
11
10
01
01
00
00
00
10
10
10
00
00
10
00
11
10
10
00
10
00
10
00
01
00
10
10
11
01
00
00
11
10
00
00
10
01
10
00
00
00
11
10
00
10
00
00
11
01
00
00
00
10
01
10
01
10
00
00
10
10
10
10
00
01
00
10
11
00
10
00
10
00
11
00
10
11
00
11
10
10
00
00
10
10
10
11
10
00
01
00
01
10
00
00
11
11
10
00
01
00
10
00
00
11
10
00
01
00
10
01
00
10
00
11
00
10
11
10
00
01
11
10
11
10
01
00
00
00
10
01
11
10
00
10
11
10
10
01
10
00
01
11
10
00
00
10
00
11
00
00
00
10
11
10
10
10
01
01
11
11
00
10
10
00
11
10
00
01
10
10
11
00
00
01
10
10
10
00
00
01
00
10
11
11
01
01
10
11
01
01
00
01
01
10
01
00
10
11
01
11
10
01
00
11
01
01
11
10
10
00
01
11
00
01
01
00
11
10
00
10
11
01
11
10
01
11
11
10
10
01
00
10
11
10
00
10
10
10
10
01
00
11
01
00
00
10
01
10
10
01
10
10
01
10
00
00
10
11
00
10
10
00
00
10
00
00
00
00
10
10
10
00
10
10
10
11
00
11
00
00
11
10
00
01
00
01
01
10
10
00
11
10
10
11
00
00
10
11
00
11
00
00
10
00
11
10
00
00
11
10
00
00
01
10
11
11
11
00
00
00
00
10
10
01
01
10
10
00
01
10
00
10
11
00
01
10
00
11
10
01
11
10
01
10
11
00
11
10
00
10
10
00
00
00
00
00
00
00
10
11
10
01
10
00
00
00
10
10
10
01
10
11
00
00
10
10
01
00
00
00
00
10
10
01
01
11
00
00
10
00
11
10
00
11
10
10
00
10
00
10
01
11
11
00
01
11
00
01
01
11
11
01
11
00
11
11
00
00
11
10
01
01
01
01
10
01
10
01
11
10
00
00
11
10
00
10
00
00
00
10
10
11
00
00
00
00
00
10
11
00
00
00
10
10
00
10
11
01
00
11
01
00
00
00
00
10
10
10
00
00
11
10
01
11
00
01
01
10
00
01
10
10
01
00
00
11
01
01
00
01
10
00
01
00
00
10
00
01
10
11
10
01
10
00
00
10
00
00
10
10
10
01
00
01
10
10
00
01
10
01
00
10
10
00
00
10
00
01
01
10
10
11
00
00
10
00
10
10
01
10
01
00
00
10
01
00
01
01
01
01
01
11
10
00
01
00
11
10
00
00
10
00
01
11
10
00
11
10
00
00
00
10
10
01
10
00
00
01
11
10
10
11
00
00
00
10
00
01
10
10
10
00
11
01
10
01
10
01
00
10
01
01
11
10
10
01
01
10
11
10
00
01
10
11
11
00
00
00
01
10
01
00
11
10
01
10
00
11
10
01
00
00
10
10
10
10
00
00
01
10
00
10
10
11
10
10
00
00
11
01
10
10
11
00
10
01
01
11
00
00
10
00
11
10
01
00
11
00
00
00
00
10
11
00
00
10
10
10
11
00
00
00
11
01
11
10
01
10
11
00
00
10
10
11
00
00
00
10
11
11
11
01
00
10
00
10
00
00
10
10
10
01
10
01
10
00
00
11
00
11
10
00
10
11
10
10
01
00
10
00
00
10
10
01
00
10
11
00
10
10
00
01
00
11
10
01
11
00
01
10
10
10
10
00
10
11
00
11
00
00
00
11
11
01
11
11
01
00
00
11
10
00
10
00
00
11
10
10
01
10
00
10
00
00
00
10
11
10
11
00
00
10
11
00
01
10
00
10
10
10
00
10
10
00
00
00
10
00
10
10
10
01
11
00
11
10
00
00
10
10
10
10
00
00
00
01
00
10
10
10
11
01
01
10
10
00
01
10
01
01
10
11
10
00
10
00
00
10
10
00
10
10
10
10
10
10
01
00
00
00
01
00
10
10
10
11
01
00
00
11
00
00
10
10
00
10
10
00
01
00
10
01
00
00
00
01
11
11
00
11
10
01
00
11
11
01
00
10
10
10
00
00
10
10
00
10
00
01
01
00
01
00
10
10
00
00
01
10
10
00
11
10
10
00
00
01
10
10
10
00
00
01
10
10
10
00
10
10
11
10
00
00
00
01
10
10
01
00
00
01
00
11
11
10
00
11
10
11
01
11
11
00
10
01
11
11
01
00
11
11
00
10
01
01
11
00
00
11
00
11
10
00
00
11
10
00
11
00
11
11
00
01
10
10
01
11
10
00
00
10
10
00
00
00
10
01
01
11
10
10
01
10
00
00
10
10
00
00
10
11
10
10
10
01
11
00
10
10
00
01
10
10
00
00
11
00
00
01
01
00
10
01
10
10
11
11
01
11
01
00
11
11
10
10
11
00
00
01
10
00
01
10
00
11
00
10
01
11
00
00
10
00
10
10
10
00
01
10
01
11
01
10
10
10
00
00
11
10
11
00
01
00
00
01
01
10
10
01
11
01
00
10
00
00
10
10
11
00
00
10
10
10
00
01
01
00
10
00
10
00
01
10
11
00
01
00
01
01
11
00
00
10
10
10
00
10
00
10
01
10
10
00
00
10
10
11
00
10
10
10
10
00
00
00
10
11
00
10
01
10
01
10
01
00
11
01
11
10
00
11
10
10
01
10
11
01
10
11
11
01
10
10
01
01
01
10
00
01
01
00
10
10
00
11
11
10
10
11
10
01
00
10
10
11
10
01
00
11
00
10
10
00
00
11
10
00
10
10
00
01
00
01
10
01
10
10
10
00
01
11
01
10
10
00
00
10
01
00
11
10
10
00
01
10
11
00
00
00
00
10
00
11
10
01
01
10
11
10
11
11
11
00
01
10
01
01
10
00
01
10
10
00
01
00
01
00
11
00
10
11
11
10
00
10
00
00
10
11
10
10
00
00
11
00
00
01
11
00
11
11
00
11
00
01
10
10
00
11
00
01
10
01
10
11
00
10
10
00
00
01
00
01
10
01
00
01
00
10
00
00
00
00
00
10
11
10
00
00
00
10
11
01
00
01
11
00
11
00
10
00
00
10
00
10
10
10
10
00
00
01
00
10
11
11
10
11
10
00
10
00
00
10
00
11
01
00
10
00
00
10
11
11
00
01
11
11
01
00
00
11
10
01
01
01
10
10
00
10
00
01
00
11
00
00
10
01
01
11
10
00
10
11
00
01
01
10
10
01
10
00
00
10
11
00
00
10
11
01
00
10
01
00
10
00
01
00
10
01
01
11
00
00
00
01
10
10
10
11
00
01
01
01
00
10
10
10
10
11
10
00
10
01
10
00
10
11
01
00
01
00
00
00
00
10
00
01
11
10
00
01
01
10
00
10
11
10
10
00
10
10
00
00
11
00
00
00
00
01
11
10
00
00
00
01
10
11
10
01
10
00
00
00
01
11
01
11
01
10
00
00
00
00
10
10
00
11
10
00
00
10
11
01
01
00
11
10
01
10
00
11
10
00
10
11
00
10
11
10
01
00
00
00
00
00
10
10
01
10
01
10
01
00
01
11
00
01
10
10
00
10
10
01
00
00
10
10
10
00
00
11
01
10
10
01
10
00
00
10
10
00
10
10
00
00
00
00
00
01
11
10
01
11
10
01
10
01
00
01
10
01
11
10
10
10
10
00
10
00
00
10
01
10
10
10
00
10
00
00
10
00
01
01
00
10
10
00
00
10
00
00
10
00
10
11
01
00
10
10
01
01
11
11
10
00
10
11
10
01
00
11
11
01
10
10
01
01
10
10
10
00
00
10
10
10
11
01
00
11
01
10
10
11
00
00
10
10
00
00
00
01
10
10
10
10
00
01
11
10
01
11
00
01
11
00
01
11
10
10
10
00
10
00
00
10
10
01
11
10
00
00
00
00
00
01
00
00
00
00
00
11
11
10
00
10
10
10
11
00
00
00
10
01
01
00
10
00
10
11
01
11
00
00
00
00
00
00
11
10
10
01
11
00
01
11
10
11
00
10
01
10
10
01
00
10
00
00
10
00
00
10
11
11
01
01
01
10
00
00
10
00
00
10
10
00
00
10
11
10
00
10
00
11
11
11
00
10
00
10
11
00
00
11
10
01
10
01
01
10
10
10
00
00
10
10
01
11
00
01
00
01
01
10
00
00
10
10
11
01
11
10
11
10
00
10
00
00
11
10
00
00
10
00
10
01
10
11
00
00
01
10
10
10
10
01
11
00
01
11
00
10
10
01
10
11
00
11
10
10
10
10
11
00
10
00
11
01
01
00
00
00
11
10
11
01
00
10
10
00
00
10
11
01
00
10
01
00
10
11
10
10
11
11
00
10
10
00
00
00
00
01
10
11
00
01
11
11
01
11
00
01
01
00
11
11
10
10
01
00
00
11
10
00
00
10
10
11
10
00
11
10
00
10
10
01
10
00
10
10
01
00
11
01
10
10
11
00
00
10
00
00
10
01
10
00
00
11
10
11
00
11
10
01
01
00
10
10
10
00
00
00
10
10
10
10
00
01
01
11
00
00
00
00
10
01
11
10
10
01
10
01
10
01
01
11
00
10
10
01
01
10
00
01
11
10
01
11
11
00
10
01
00
10
10
11
00
11
10
10
10
11
01
11
10
00
00
00
00
11
10
00
10
11
10
11
00
11
10
01
00
11
11
00
10
00
10
01
11
10
00
10
11
01
11
11
01
01
11
10
11
00
11
10
00
01
11
10
10
10
00
01
00
11
00
00
00
11
11
11
10
00
01
00
10
10
11
00
01
10
00
11
00
11
10
00
10
10
00
00
00
10
10
00
00
01
10
01
00
10
10
01
01
10
11
00
11
00
11
00
00
10
10
10
10
10
00
11
10
00
10
00
00
00
00
10
10
11
00
11
00
00
10
00
10
10
10
00
00
10
01
00
10
11
00
10
00
11
10
00
11
10
10
01
00
10
00
00
00
10
10
01
10
00
00
11
10
00
00
01
01
11
11
10
01
10
10
01
10
00
00
10
11
01
01
01
10
10
00
00
00
10
10
10
00
00
00
00
11
11
00
01
01
01
10
10
00
10
10
11
00
10
00
01
00
11
01
00
00
01
10
10
00
00
00
10
10
01
10
11
01
01
10
11
01
10
00
11
10
00
01
10
00
10
10
00
10
11
00
10
00
00
01
10
10
00
10
10
01
11
10
01
10
11
10
11
01
00
10
11
10
01
01
00
01
10
10
10
10
01
00
10
00
10
01
00
10
10
00
00
00
10
00
11
11
11
00
00
00
10
00
11
11
01
11
10
00
10
11
00
00
10
11
00
10
00
00
00
10
10
00
01
10
00
10
11
00
11
00
00
11
00
01
00
01
10
11
10
00
00
10
00
00
00
10
10
01
00
11
10
10
10
01
10
00
00
11
11
00
11
10
10
00
01
11
01
00
10
00
11
10
00
10
10
00
00
10
01
11
00
10
10
00
10
00
10
00
10
11
11
00
11
10
10
10
10
01
00
10
01
10
10
10
00
11
10
00
01
11
11
10
10
10
01
10
10
10
01
01
01
00
00
00
00
10
10
01
10
10
01
00
10
10
00
00
01
10
11
00
00
00
00
00
11
01
00
10
11
10
00
10
11
00
10
10
10
01
00
00
00
00
01
11
10
10
01
10
00
10
01
00
10
10
10
01
10
10
10
00
11
00
11
10
01
00
10
00
01
00
11
00
10
10
01
00
00
10
11
00
11
11
00
11
10
01
10
10
00
01
00
10
00
00
10
10
10
01
10
01
01
10
11
00
10
11
01
00
11
00
10
11
10
00
10
10
10
01
00
01
00
10
10
10
10
00
10
00
01
10
11
10
00
00
10
10
10
01
00
00
00
10
10
11
00
01
11
11
11
01
01
00
10
10
00
00
11
10
10
00
10
10
01
00
11
00
00
10
00
10
10
10
01
01
10
10
00
10
00
00
01
10
01
10
10
11
10
00
11
00
10
11
11
00
01
00
01
01
00
11
10
00
10
11
10
10
01
00
00
11
01
00
11
00
01
00
01
10
11
00
10
10
01
00
10
10
01
00
11
00
11
10
00
00
00
10
10
00
00
10
01
01
10
10
00
00
00
10
01
00
10
11
01
00
11
11
10
10
00
00
11
00
00
10
00
10
10
10
11
11
10
01
00
11
10
00
00
11
10
01
10
10
11
10
01
00
10
00
10
10
01
00
10
11
00
10
10
00
10
00
01
10
10
00
00
10
00
10
10
00
01
10
00
00
00
11
11
10
01
10
10
10
01
01
11
01
01
01
11
10
01
00
11
10
00
01
11
10
00
10
00
10
11
01
10
11
00
10
00
10
00
11
10
00
10
11
00
01
10
11
00
00
10
01
00
00
10
10
00
11
00
10
00
10
10
10
01
01
10
11
00
10
11
00
10
00
01
10
11
00
01
11
11
01
00
11
11
10
11
01
10
11
11
01
10
00
00
10
10
10
00
00
10
10
00
11
10
00
10
00
10
00
01
11
11
11
10
11
11
10
01
10
10
00
11
00
10
00
00
00
11
10
00
11
10
00
00
01
11
01
11
10
10
00
10
11
00
00
11
10
10
10
10
00
10
01
01
01
10
11
10
00
01
00
10
11
00
00
10
10
00
10
10
10
00
10
00
10
10
10
00
10
10
00
00
11
10
00
00
10
11
11
00
00
10
11
01
10
00
10
00
00
10
11
01
10
11
10
11
10
10
10
00
00
10
00
01
11
00
00
00
00
00
10
10
11
00
10
01
00
10
10
10
01
00
00
10
01
10
00
00
11
01
11
10
10
01
00
01
00
10
10
00
00
00
01
10
00
00
10
00
00
00
01
10
10
00
00
01
10
10
00
01
00
10
10
00
00
01
00
10
10
10
00
00
10
10
00
11
00
01
10
01
10
10
01
00
10
00
10
11
10
00
01
10
01
11
00
10
11
11
11
10
00
00
11
00
10
01
01
01
00
01
10
10
01
10
01
00
10
11
10
10
00
01
10
01
10
10
10
00
01
00
10
01
10
00
10
11
01
00
00
01
01
11
10
11
00
00
00
10
00
01
00
11
11
00
10
10
11
00
11
10
00
00
11
01
00
11
00
01
10
00
00
11
00
01
11
01
10
10
00
01
01
11
01
11
10
10
00
00
11
00
00
10
00
01
10
00
00
11
10
10
10
11
11
11
00
10
11
11
10
00
01
11
01
00
00
10
11
10
00
01
01
11
00
10
11
10
01
01
10
10
00
00
00
00
10
10
00
01
00
00
01
10
10
10
01
10
10
00
00
01
11
11
10
11
10
10
00
10
00
00
01
00
00
11
10
01
00
00
10
10
11
10
01
00
01
00
10
10
10
01
10
11
01
10
10
10
00
00
00
10
10
10
11
00
10
11
01
10
10
10
10
00
01
00
10
10
00
10
11
10
01
01
11
00
10
10
00
00
10
10
10
00
11
11
10
00
00
10
00
00
01
00
01
01
10
11
00
01
10
00
01
10
11
01
00
11
10
10
00
01
11
10
00
00
10
10
00
10
10
01
00
00
10
10
00
01
10
11
10
11
11
10
10
01
00
10
00
10
00
10
11
11
01
10
11
00
00
10
00
00
11
10
01
00
10
11
10
01
00
10
11
10
01
10
11
00
00
01
01
10
10
10
00
11
00
00
10
00
00
11
00
11
10
00
01
01
00
01
10
01
00
11
10
11
00
10
11
00
10
10
00
11
11
11
10
00
11
10
10
00
01
11
00
10
10
00
00
10
11
10
00
00
11
10
00
10
10
00
10
10
00
11
01
00
01
10
11
10
00
00
10
00
00
10
10
10
11
11
01
00
00
10
00
00
10
01
00
10
10
11
11
10
11
01
10
00
00
10
10
01
01
00
01
10
11
10
01
00
11
01
11
01
00
00
01
10
10
10
00
10
11
00
01
10
11
11
01
01
00
10
00
00
10
00
11
10
01
00
11
10
11
01
00
00
10
00
00
10
10
10
11
10
11
01
00
11
10
00
10
11
00
00
00
10
01
10
11
01
00
00
10
11
00
00
10
10
00
00
01
10
00
00
10
11
11
11
01
00
11
11
11
11
10
01
00
10
11
10
00
00
10
10
00
01
10
00
00
11
01
00
11
11
01
00
00
00
10
10
00
00
10
00
00
01
01
00
11
00
00
00
10
10
00
10
10
10
01
00
10
01
10
00
00
00
00
00
10
01
11
11
11
01
11
10
10
01
01
10
00
10
11
10
01
01
00
10
11
00
01
10
11
10
10
00
10
10
00
11
10
01
00
00
01
00
00
10
11
00
00
10
10
00
00
11
10
00
00
10
11
01
00
11
00
11
01
00
10
00
00
10
10
00
00
11
10
00
00
10
10
10
00
00
00
10
10
10
00
00
11
10
00
10
00
10
11
01
00
00
11
11
10
00
00
01
10
10
10
10
00
10
10
00
11
11
00
10
10
00
10
10
00
00
10
11
10
10
11
01
10
10
00
01
10
10
01
00
00
10
11
10
00
01
11
10
01
10
10
11
00
11
00
10
00
10
10
00
01
10
10
00
10
11
00
01
00
00
11
01
00
00
00
11
10
01
10
00
11
11
00
11
01
00
00
11
10
00
01
10
10
00
10
00
00
10
11
10
11
00
00
00
10
10
01
00
10
10
00
11
10
00
00
10
00
00
10
10
00
10
10
01
10
00
10
11
01
01
00
10
10
01
01
11
01
00
11
10
11
01
11
10
00
11
01
11
10
10
01
01
11
01
10
10
00
00
01
00
10
10
00
00
01
10
00
10
01
11
01
01
00
00
10
10
11
00
01
00
00
10
10
10
11
00
00
00
00
01
00
00
00
00
00
11
01
10
01
00
00
00
00
10
10
00
01
00
01
00
10
00
11
10
10
10
11
11
10
10
00
00
10
00
01
10
00
01
00
00
10
00
00
10
00
10
10
11
10
10
00
01
00
10
10
11
10
10
01
00
01
10
00
11
11
00
01
01
10
00
00
00
10
10
00
10
00
01
00
11
00
00
01
01
00
10
11
00
10
10
10
10
10
01
00
00
11
11
01
01
10
10
10
11
11
01
00
10
11
11
10
01
10
10
10
10
00
10
00
01
10
01
00
00
00
00
01
01
00
10
10
11
10
11
00
00
10
00
01
10
01
00
10
10
11
00
00
10
01
00
11
01
01
00
11
10
10
01
10
10
01
10
10
10
00
00
00
11
10
11
00
00
00
01
01
01
00
10
10
01
00
10
00
00
10
10
10
10
10
00
10
00
10
10
10
10
00
10
10
00
00
00
11
11
00
00
11
00
00
01
00
11
01
00
10
10
10
00
00
01
00
00
11
10
00
11
00
10
10
11
10
11
01
00
01
00
10
11
00
01
10
00
00
11
00
00
10
10
01
00
01
00
10
00
11
10
11
10
01
00
10
10
01
00
11
11
00
00
10
10
10
10
00
00
11
11
00
10
10
00
00
11
11
00
01
11
10
00
11
00
00
10
00
10
10
11
01
11
00
00
11
10
11
11
10
01
00
10
10
10
00
00
10
10
11
10
00
11
10
11
10
10
01
11
00
11
00
01
10
10
11
01
01
10
10
10
10
00
00
01
00
11
01
00
10
01
01
11
10
01
01
11
10
00
11
00
00
00
01
11
10
00
10
11
01
10
10
00
01
00
01
00
11
10
00
00
10
10
00
11
11
01
00
11
11
00
11
10
00
00
10
00
11
11
00
11
01
00
00
00
00
10
10
00
11
00
01
10
11
10
10
00
00
00
01
10
10
00
00
00
10
10
01
00
00
11
10
10
10
10
00
00
11
00
10
10
00
11
00
00
10
11
00
11
00
00
00
11
10
10
00
00
11
00
00
10
00
00
10
10
11
00
00
11
10
00
01
10
11
01
01
00
10
00
00
11
11
00
00
00
11
11
01
01
11
11
01
11
00
11
01
11
10
00
00
01
11
10
00
00
10
00
00
00
10
11
00
10
01
10
00
11
11
00
00
00
11
10
11
10
00
01
10
00
10
01
00
10
11
00
11
11
10
10
10
00
00
10
10
01
01
10
00
10
00
10
01
11
10
01
11
10
10
10
11
00
00
10
00
00
01
10
00
11
01
10
01
00
10
00
00
11
10
00
00
00
00
00
00
10
11
10
10
00
10
00
00
10
00
11
11
11
11
10
00
10
10
01
01
00
10
11
10
11
01
00
10
01
10
10
11
00
00
11
10
11
11
11
11
00
10
10
10
11
00
01
11
00
00
00
01
10
10
00
00
10
10
11
10
10
10
10
10
00
11
00
11
00
10
10
00
10
10
00
00
00
10
10
00
00
00
01
10
10
01
10
10
01
10
11
10
00
00
11
11
10
00
00
00
00
11
01
10
01
11
10
01
10
10
00
00
10
10
01
01
01
10
01
10
10
01
00
11
11
10
00
10
00
10
00
00
11
00
00
10
00
10
10
01
10
10
00
10
00
10
01
10
10
01
10
00
10
00
01
01
00
11
10
00
11
10
10
00
00
01
01
10
10
11
00
00
11
10
00
10
10
00
10
00
10
00
10
00
01
00
01
11
00
10
01
10
01
10
10
00
00
10
10
00
00
10
10
10
11
11
10
11
00
00
00
00
10
11
00
01
00
10
01
11
00
00
01
10
01
00
01
10
10
00
01
01
10
10
00
10
01
00
10
11
11
10
10
00
01
10
01
01
10
10
10
00
10
11
00
10
10
01
01
11
10
10
01
01
01
01
11
10
00
10
10
00
10
10
11
00
01
10
10
11
00
00
01
11
00
01
00
10
10
10
11
01
00
00
10
11
10
00
10
10
10
01
10
00
00
01
11
11
00
10
10
10
10
01
01
10
10
10
11
10
00
01
11
10
01
10
01
10
10
00
10
11
00
01
10
00
00
11
00
00
00
10
00
00
10
00
00
01
11
11
00
01
10
10
11
00
01
10
11
10
11
00
10
11
00
00
00
00
10
11
00
00
00
00
00
10
01
00
10
00
10
01
11
11
00
10
11
00
00
10
00
00
00
11
10
00
01
11
10
11
01
01
00
10
00
10
10
10
10
00
01
11
10
00
11
10
00
00
00
11
10
00
01
11
01
01
11
00
00
00
01
11
11
10
00
00
10
10
10
01
00
01
00
01
00
10
10
00
00
10
10
00
10
00
00
10
10
11
10
01
00
01
10
01
10
00
10
10
01
01
10
00
00
10
01
11
01
01
10
00
10
01
10
10
01
00
11
11
01
11
00
10
01
00
10
10
01
01
10
01
10
00
10
00
00
00
00
10
10
00
10
10
11
01
00
01
10
10
00
10
00
00
10
11
00
01
00
00
00
00
11
10
10
00
00
10
11
01
00
11
10
10
00
00
10
11
01
00
00
00
00
00
10
10
11
11
00
00
10
11
01
00
10
00
10
10
10
00
00
00
11
11
00
10
11
11
11
10
01
00
10
01
10
11
01
10
10
11
11
00
00
10
11
10
01
01
10
00
00
10
00
10
10
00
10
10
10
00
11
10
00
10
11
00
10
10
00
10
11
11
00
01
00
11
00
10
01
00
00
01
10
11
11
00
01
00
00
00
01
10
10
00
00
00
01
00
10
10
00
11
11
00
01
00
00
01
00
11
10
00
00
11
00
10
11
01
11
01
10
10
01
00
10
10
10
11
01
00
00
10
10
00
10
10
10
00
10
01
00
01
00
00
00
00
01
10
11
00
10
00
00
01
10
10
00
00
00
10
00
11
10
10
01
10
00
01
10
00
11
10
01
01
10
10
00
00
10
10
00
10
01
10
10
10
01
00
10
11
10
00
10
11
11
11
10
11
01
10
01
01
11
11
00
00
11
01
00
10
00
00
10
00
10
10
01
10
10
00
00
01
01
11
11
00
01
10
11
10
11
01
00
10
01
10
10
11
00
00
01
10
11
10
01
01
11
00
00
00
00
10
11
10
00
00
10
01
00
01
11
00
01
00
10
11
10
00
11
00
01
01
00
10
10
10
01
00
10
10
10
11
00
00
11
00
10
10
10
11
00
00
10
00
01
11
00
01
10
10
10
01
10
11
00
00
00
10
10
01
10
10
11
10
01
10
10
00
00
10
10
10
10
00
00
01
00
01
00
01
00
10
00
10
00
00
11
00
10
10
10
00
00
10
10
01
11
00
00
10
00
00
10
10
01
00
10
01
10
10
10
11
00
00
11
01
00
10
10
10
10
00
11
10
00
01
10
10
00
11
11
11
10
10
01
00
11
00
10
10
00
01
10
00
00
01
10
00
00
10
10
01
00
10
10
11
10
00
11
01
00
11
01
11
11
10
01
00
11
10
00
00
10
11
01
10
10
00
01
01
10
10
10
00
00
10
01
10
11
00
00
11
10
00
11
01
00
01
11
10
11
00
11
10
11
01
10
01
00
10
10
11
00
00
01
01
11
11
00
10
10
10
11
11
00
00
01
10
11
11
00
01
11
10
01
00
11
11
00
10
10
00
01
10
11
01
11
10
00
11
10
01
00
10
11
00
00
00
10
10
00
10
10
10
10
01
01
01
00
10
10
11
00
11
10
01
10
10
00
10
00
01
10
10
10
10
01
00
10
10
01
10
01
00
01
00
10
11
00
01
10
11
00
10
00
11
11
01
00
00
10
00
00
01
10
10
01
00
01
11
10
10
00
10
00
00
10
11
00
10
11
00
11
10
00
00
11
11
10
11
00
10
10
10
00
11
10
01
10
10
00
10
10
01
10
10
00
00
00
01
00
10
11
01
10
00
00
11
01
00
00
01
00
01
10
10
10
10
00
00
00
11
01
10
11
00
00
00
00
10
10
00
00
00
10
10
00
00
10
01
00
10
10
01
00
10
11
01
01
10
01
00
11
00
10
10
00
00
10
00
01
01
10
00
00
01
10
01
00
00
10
10
10
00
10
00
00
11
10
00
00
01
10
01
10
10
11
00
00
10
11
00
00
00
11
10
00
10
00
11
10
11
11
11
01
01
11
00
01
00
10
11
01
01
11
11
00
11
00
11
10
00
00
10
01
11
10
00
00
01
11
00
11
10
01
10
10
00
10
10
10
00
01
10
10
10
00
10
00
00
00
10
11
00
01
01
11
00
10
10
10
11
11
00
00
10
10
10
00
10
10
00
00
10
10
01
00
00
10
10
00
10
11
00
11
01
10
11
01
11
00
01
11
10
00
01
01
00
01
10
00
00
10
11
10
00
00
10
01
01
10
00
01
10
11
10
00
10
00
10
10
00
00
01
10
01
00
11
01
00
10
10
10
00
11
11
10
00
00
10
00
10
00
01
00
11
00
00
00
10
10
11
11
00
11
01
10
10
00
00
01
00
11
10
11
00
11
00
11
00
01
00
00
10
10
11
01
10
11
00
01
00
10
00
00
10
10
10
01
10
10
01
10
11
10
01
10
10
00
00
00
10
01
10
10
00
00
11
01
11
01
11
01
11
00
11
00
00
11
11
10
01
01
10
00
11
11
10
10
01
00
00
10
00
00
00
00
10
11
00
00
10
10
11
11
10
01
01
10
11
00
10
00
01
10
10
11
00
00
01
00
10
00
10
00
10
00
11
10
01
00
00
00
00
10
10
11
00
01
00
00
10
10
10
10
10
01
10
10
11
01
11
01
00
00
01
11
01
01
01
10
10
00
10
11
00
11
10
01
10
11
00
00
00
10
00
00
10
11
01
00
10
10
00
00
11
10
00
00
00
10
01
10
11
10
00
10
00
01
11
00
10
00
10
11
00
10
01
00
10
10
01
00
00
10
10
10
10
10
00
00
11
00
00
10
00
10
00
11
11
11
10
10
11
00
11
01
00
11
10
00
00
10
11
10
10
00
01
10
01
10
10
10
00
00
01
10
10
01
10
10
00
11
10
01
00
00
11
10
11
11
00
01
00
10
10
10
00
10
00
00
10
00
01
10
11
00
10
01
00
11
11
01
00
00
10
10
10
01
10
01
11
10
10
00
00
10
10
00
10
00
00
01
10
10
00
11
01
10
00
10
01
00
10
11
00
01
11
10
00
11
10
10
00
01
00
10
10
01
11
11
10
11
00
00
01
11
10
00
00
10
11
00
00
10
10
01
10
10
00
10
01
10
00
11
10
10
00
11
10
00
11
00
00
10
00
10
11
00
00
00
10
10
00
10
10
01
00
11
01
00
00
10
10
00
00
10
10
00
00
00
01
00
10
10
11
00
01
10
01
10
10
10
00
00
11
10
01
10
10
10
10
00
00
00
11
10
10
00
10
00
00
00
10
10
00
10
00
10
01
00
11
00
11
10
00
00
01
00
10
11
00
00
10
10
00
00
10
11
10
10
10
00
11
00
11
11
01
01
00
10
10
00
00
10
10
00
00
00
10
00
00
11
00
01
10
00
00
11
11
00
10
10
11
01
00
10
11
01
01
01
10
01
01
10
10
00
10
10
01
01
01
00
10
11
10
01
00
10
10
01
01
10
10
00
01
11
00
11
00
01
11
01
10
01
11
00
01
10
00
01
10
10
00
10
11
10
01
10
00
00
11
11
00
00
10
00
00
11
10
00
10
00
01
10
00
10
00
10
10
01
01
11
10
10
10
00
00
00
10
10
01
11
01
00
01
10
00
10
10
00
00
10
10
11
00
10
11
00
10
00
11
00
00
10
00
00
00
10
10
00
01
00
00
10
10
10
00
01
10
00
10
10
11
10
00
11
01
01
10
10
00
00
01
01
10
10
00
00
01
11
00
00
10
10
10
00
10
11
10
11
11
01
01
10
10
00
00
01
00
10
10
11
11
01
00
01
10
11
10
00
00
10
00
01
00
11
00
01
01
00
00
10
11
01
00
00
00
11
00
00
10
10
10
00
10
10
11
00
11
11
01
00
00
00
11
00
01
11
10
11
01
11
11
10
01
00
01
01
00
11
10
10
00
11
10
00
10
10
10
10
00
01
10
11
00
11
00
11
10
00
00
10
10
00
00
10
01
00
00
10
10
00
11
10
00
00
10
01
10
11
00
00
11
10
10
00
00
11
01
10
10
00
10
11
10
10
01
01
11
00
10
11
10
10
00
00
11
11
11
00
01
10
00
11
10
11
00
00
01
10
01
11
01
01
10
10
00
00
10
10
00
01
11
11
00
10
10
01
10
00
00
00
00
10
00
10
10
00
00
00
10
10
00
00
01
10
01
10
00
00
00
11
00
00
00
11
10
00
00
10
10
01
00
01
10
10
11
10
10
10
10
01
10
00
10
11
10
11
00
00
00
10
10
00
10
10
01
00
01
00
10
00
00
11
10
11
01
10
01
01
11
01
11
01
10
01
00
11
01
00
11
10
00
10
11
11
11
10
00
01
01
10
00
00
10
00
10
01
01
11
11
00
10
10
11
10
00
00
01
11
10
11
00
00
10
01
00
00
11
10
10
01
00
11
10
10
10
00
00
00
01
10
10
00
11
00
00
01
11
10
11
10
01
10
10
00
10
10
00
00
10
11
10
00
00
11
10
01
10
10
00
01
01
11
01
00
10
11
00
10
10
00
10
00
10
01
01
00
01
10
01
10
10
00
00
10
10
10
01
10
10
00
00
00
10
01
01
11
00
10
11
10
00
00
01
10
10
10
01
10
00
10
00
00
10
10
10
10
11
11
11
00
00
11
10
00
11
10
00
00
10
11
00
00
10
00
10
10
01
00
00
11
11
10
00
00
00
11
10
00
01
00
01
00
00
10
11
00
00
01
10
01
10
10
00
00
00
10
10
10
10
11
00
11
10
00
10
00
01
00
10
11
11
11
10
10
00
10
11
11
00
00
00
00
10
10
11
11
11
00
01
10
10
10
00
10
11
00
10
00
10
10
00
01
10
00
01
01
11
11
00
10
01
01
01
00
11
10
00
01
00
11
00
01
00
11
10
10
01
01
01
01
10
10
01
10
00
01
10
11
10
01
00
00
00
11
00
10
10
00
10
01
01
11
00
00
01
00
01
01
10
10
01
10
10
11
00
01
01
01
10
10
10
00
10
10
00
10
10
01
00
11
00
11
11
01
10
01
00
10
01
01
00
10
10
00
11
00
00
11
00
00
11
01
00
10
10
10
01
11
00
00
00
10
01
11
10
01
00
00
10
11
01
00
10
10
11
11
10
00
00
10
11
01
10
01
00
10
10
11
00
10
10
00
01
11
01
00
10
10
00
10
11
10
00
10
00
10
00
11
11
01
00
00
10
01
00
11
00
01
01
00
00
11
01
11
10
00
10
10
00
01
00
10
11
10
10
01
00
10
10
10
10
01
11
00
11
11
00
01
01
01
10
01
10
00
00
11
00
00
10
10
01
00
00
10
11
00
10
10
11
10
00
10
00
10
00
00
01
00
10
10
10
10
00
01
10
00
01
00
00
01
11
00
10
11
00
00
10
10
11
11
01
11
10
00
01
10
00
00
10
11
01
10
00
00
00
10
00
11
01
00
10
10
11
11
10
11
01
01
11
11
01
10
10
11
10
01
01
10
10
10
00
10
11
01
00
01
10
10
00
00
10
10
00
01
10
00
01
10
10
10
10
00
01
01
11
11
00
10
00
00
00
10
00
10
10
00
11
11
01
01
11
01
00
11
11
11
01
00
11
10
00
00
10
00
00
10
10
00
01
10
00
10
00
00
10
11
11
01
10
11
00
11
10
01
00
10
00
00
11
00
11
11
10
00
01
00
01
11
11
10
11
00
00
00
00
00
10
10
11
00
00
10
00
11
01
00
10
00
01
00
01
11
00
00
10
11
00
01
11
10
00
00
00
00
11
10
01
01
10
10
01
10
11
00
01
00
10
10
11
01
00
00
11
00
10
10
00
10
00
01
00
10
10
11
10
10
10
10
10
01
01
11
00
10
00
01
10
00
10
00
00
10
00
10
00
00
11
11
01
00
10
10
01
01
10
00
01
00
10
10
11
10
00
01
11
01
00
10
10
00
11
00
01
10
11
00
01
10
00
11
10
00
01
00
11
10
11
11
10
00
00
10
10
10
00
11
11
00
00
10
00
10
10
01
00
11
11
00
00
10
00
10
10
00
10
10
01
00
00
01
11
00
01
11
10
01
11
01
01
10
11
00
00
10
01
00
10
11
10
01
11
10
00
00
00
11
01
00
10
10
10
10
00
00
10
00
00
10
01
10
00
00
11
01
00
00
10
10
10
00
01
00
00
10
00
10
01
11
10
00
10
00
11
10
01
10
10
00
10
00
10
10
00
00
11
11
10
01
00
01
10
00
01
10
10
00
10
10
10
10
01
11
10
00
11
01
00
10
00
00
00
10
10
00
10
10
00
01
00
01
10
10
00
00
01
11
11
00
00
00
01
00
10
01
11
10
11
10
10
00
00
11
00
00
01
11
10
00
00
00
10
00
11
11
10
00
11
00
10
10
00
01
00
10
10
10
10
10
00
10
11
01
01
10
10
01
00
10
10
01
11
11
00
10
11
01
01
10
01
10
00
00
10
10
01
10
11
10
00
10
00
11
11
10
00
01
00
10
10
11
10
00
10
00
10
10
00
10
10
00
00
11
00
00
10
10
00
10
01
10
10
11
10
01
10
00
10
00
10
00
01
00
01
10
10
10
01
00
10
00
01
10
01
00
11
01
00
01
10
10
00
00
11
01
00
10
11
00
10
00
00
10
00
11
10
00
01
10
10
00
11
00
11
01
11
00
10
11
00
10
01
10
11
11
00
01
11
01
00
00
10
11
10
00
00
10
11
01
11
11
11
00
11
11
10
00
01
11
11
00
00
00
01
10
01
10
11
10
01
00
00
10
11
10
01
01
10
10
01
01
10
01
01
10
10
01
00
01
00
11
10
00
00
11
00
00
00
10
01
10
10
11
01
01
00
10
10
00
00
10
10
00
10
01
11
11
11
00
10
00
00
11
10
10
10
10
10
00
11
11
00
10
00
10
10
01
00
10
00
11
00
00
10
00
10
10
00
01
10
00
10
10
01
00
10
10
10
01
00
01
00
00
00
10
00
11
10
01
00
00
01
01
10
11
11
00
00
11
10
10
10
00
10
10
11
00
00
00
00
01
10
00
10
01
01
00
10
10
10
00
00
00
00
10
01
11
11
10
00
10
00
00
10
01
00
11
00
00
10
11
00
11
01
00
01
11
10
11
00
01
10
10
10
00
10
10
01
00
11
10
10
01
00
01
01
00
10
00
00
00
11
10
10
10
00
01
01
01
10
00
00
00
10
10
01
01
10
10
10
11
00
01
00
00
10
11
01
01
10
10
00
00
11
00
11
11
00
00
00
10
00
10
10
10
00
11
10
00
10
10
00
00
10
00
00
11
01
00
10
10
01
00
11
00
00
10
01
10
11
10
10
01
01
11
10
01
01
10
11
10
10
01
01
10
00
00
11
00
00
10
11
00
01
00
11
10
01
00
10
00
00
00
10
01
10
11
01
00
10
00
00
10
00
01
10
01
01
00
00
11
00
01
11
10
10
10
11
10
10
00
00
01
10
11
10
10
01
10
10
01
00
00
00
10
10
10
10
10
10
10
00
00
10
10
00
10
10
01
10
01
10
00
10
01
10
10
00
01
00
10
00
11
10
00
00
10
11
00
00
01
00
10
10
00
10
10
00
10
01
00
10
00
10
10
00
00
10
00
10
10
10
00
01
00
10
11
10
10
00
00
10
00
00
11
00
00
01
01
00
01
10
00
00
00
01
11
00
00
10
01
00
00
00
00
10
00
11
11
10
00
00
10
00
00
10
11
00
11
00
10
00
10
00
00
10
10
01
10
11
00
11
11
00
00
11
00
01
00
01
10
10
00
00
10
10
01
00
11
00
11
11
00
10
10
01
10
10
00
11
11
10
01
10
10
00
00
00
00
10
10
10
10
00
01
10
00
01
00
11
10
11
10
01
00
10
10
00
00
11
00
00
10
00
10
00
01
00
11
00
01
00
10
01
00
00
11
11
11
01
00
11
00
11
11
00
10
10
00
01
00
10
00
11
10
10
11
10
00
00
10
10
00
00
10
11
11
10
01
10
00
01
00
00
11
10
10
00
00
11
01
00
11
10
00
10
00
00
00
10
11
00
01
10
11
10
10
01
00
00
10
11
00
10
10
11
00
10
00
01
00
00
11
00
10
10
11
11
00
01
01
10
11
10
00
10
00
00
10
11
00
00
11
00
00
11
10
10
00
10
10
00
10
00
00
10
10
10
00
00
00
10
01
00
10
00
00
10
11
00
11
10
10
10
01
00
01
00
10
10
10
10
00
10
00
01
01
10
10
10
01
00
11
00
11
10
01
01
00
00
11
10
00
10
10
01
00
00
10
10
11
01
10
10
01
10
00
00
10
01
01
00
10
10
10
10
01
00
10
10
10
10
11
01
00
01
10
10
10
10
01
00
10
10
01
01
10
00
11
01
01
10
01
00
10
10
11
01
00
10
10
11
11
10
11
00
00
00
01
10
00
01
11
11
01
10
10
00
10
01
10
11
01
01
01
00
00
00
00
10
10
11
00
00
10
10
00
10
11
00
00
00
01
00
01
01
11
11
00
00
10
11
00
00
10
10
11
11
00
01
00
10
10
00
01
10
11
10
11
10
11
00
00
01
11
01
00
10
11
00
01
00
00
10
01
10
10
10
00
00
10
10
11
01
10
10
10
11
00
01
10
11
11
01
11
10
01
00
10
10
00
01
10
10
01
10
01
00
00
11
11
01
10
00
00
00
01
00
11
10
11
00
10
00
10
00
00
10
11
10
00
10
00
01
11
00
00
00
00
00
10
01
10
00
10
00
00
10
01
11
01
10
00
00
10
01
11
10
00
01
11
00
11
00
01
00
10
10
01
01
01
00
10
10
00
10
11
01
00
01
10
00
00
00
11
11
00
00
00
10
00
01
10
01
01
01
01
10
00
10
11
00
00
10
01
00
10
10
10
00
00
00
10
10
01
11
11
00
01
11
11
00
00
00
10
11
00
00
10
00
00
00
00
10
00
11
11
10
01
01
11
10
00
00
00
00
01
01
11
10
00
11
11
00
00
01
10
01
00
00
11
11
11
11
11
00
01
01
00
10
00
00
11
00
10
10
00
10
10
00
10
10
01
00
10
01
01
10
01
01
11
00
01
00
00
00
11
01
10
00
10
11
11
11
00
11
00
00
00
11
00
00
11
01
10
10
11
10
00
11
00
10
00
00
10
10
01
10
01
11
01
10
11
00
00
11
10
01
01
10
10
01
00
11
10
00
00
01
01
11
00
00
00
10
10
00
10
01
00
11
11
00
00
00
10
10
00
10
10
11
00
01
00
01
10
00
11
00
01
00
00
10
11
10
01
10
10
00
00
11
10
01
10
00
11
10
11
11
01
00
10
00
10
00
00
10
10
00
10
10
00
10
10
01
10
11
10
00
10
01
00
00
10
10
01
01
10
11
00
01
11
10
00
01
01
10
10
01
11
01
00
10
10
01
10
01
00
11
10
10
00
01
00
00
10
10
00
10
10
01
01
00
11
10
10
00
00
10
10
00
11
10
11
01
00
00
00
00
10
01
01
10
01
10
11
11
11
10
11
10
00
10
00
00
10
10
00
00
10
10
11
00
01
01
10
01
01
10
01
00
10
01
00
00
01
11
10
10
00
01
10
01
01
10
11
11
10
10
01
00
10
01
00
00
10
11
00
01
00
00
10
00
00
10
11
00
01
11
00
11
10
10
10
10
00
11
10
01
11
10
11
00
10
11
00
10
11
00
00
10
11
00
00
11
11
10
10
00
01
11
00
10
11
00
10
01
00
11
10
11
10
11
00
00
10
10
01
00
10
00
10
00
00
11
01
10
10
00
01
11
00
01
11
10
01
11
00
11
11
01
01
10
10
01
01
10
01
01
00
01
10
10
10
01
10
11
00
00
11
10
00
11
10
01
00
00
00
00
10
10
01
00
01
10
00
00
10
10
11
01
11
11
01
00
10
00
00
10
10
01
00
10
10
01
01
01
10
01
00
10
01
01
10
10
01
11
11
11
00
11
10
10
11
00
11
10
10
00
10
11
00
00
00
10
00
00
10
00
00
10
01
00
00
10
10
00
11
10
10
00
10
11
10
10
00
11
10
00
01
10
00
00
01
10
10
10
10
00
10
00
00
10
10
11
10
00
11
10
00
11
00
00
00
00
10
11
00
10
10
00
10
11
00
10
11
00
00
11
10
00
10
00
10
00
01
01
10
10
00
00
01
00
11
10
01
10
01
00
00
10
00
00
11
10
00
01
00
11
00
10
01
00
10
10
11
00
01
00
10
00
10
00
01
01
10
01
10
11
10
00
00
11
10
01
10
10
00
10
10
01
10
10
00
10
00
01
10
00
01
00
11
00
00
10
00
10
00
00
10
11
10
10
00
10
11
10
00
00
11
10
01
00
11
00
00
00
10
10
01
11
10
10
00
10
10
00
10
00
01
10
00
10
10
01
00
11
01
11
10
10
01
00
00
11
10
10
00
10
11
00
00
10
11
01
00
10
10
10
01
11
01
00
00
00
01
11
10
01
00
10
10
10
00
01
00
01
01
00
10
01
01
10
11
10
11
10
10
00
01
10
01
01
10
01
10
10
00
10
10
00
11
10
11
00
10
11
10
10
00
10
00
01
10
00
10
11
00
00
11
11
00
01
10
01
00
00
10
11
10
00
00
10
00
00
11
01
00
00
10
11
00
01
10
10
01
00
10
01
10
00
10
10
00
00
10
10
10
10
10
11
10
00
01
10
00
00
01
00
01
10
01
00
01
10
11
10
00
00
11
11
00
01
00
01
10
00
00
10
10
00
01
11
00
00
10
00
00
00
11
01
00
10
10
11
00
01
00
00
00
00
10
01
10
10
01
01
00
10
11
11
10
10
00
00
00
00
10
10
01
10
10
10
00
10
00
10
00
10
01
10
10
00
01
00
11
10
00
10
10
00
11
11
10
00
11
00
11
00
11
10
01
00
10
00
00
00
00
11
11
00
11
00
10
11
11
11
00
11
10
10
11
00
00
10
11
00
10
01
00
01
10
01
10
11
10
01
00
11
11
00
00
11
00
11
01
01
11
11
10
00
10
10
01
00
01
00
11
00
10
10
10
10
01
00
10
00
00
00
10
00
00
10
00
10
00
10
01
10
01
00
00
10
10
01
00
10
11
00
01
10
10
01
10
00
00
01
01
10
10
00
10
01
00
00
10
10
11
01
00
10
11
01
11
00
01
11
11
10
01
10
11
10
00
00
00
10
10
10
01
11
10
01
10
11
01
10
10
10
00
10
00
01
00
01
00
00
00
00
10
10
10
11
01
00
10
00
00
11
10
00
00
11
10
01
10
00
11
11
00
10
01
00
10
11
01
00
00
10
01
00
10
11
10
11
00
00
00
10
10
10
00
10
01
01
10
10
10
10
10
00
10
00
00
10
01
00
10
01
00
00
00
10
11
01
10
11
01
00
00
10
10
00
01
10
01
00
00
11
10
11
10
10
11
11
11
01
10
01
11
00
00
10
00
00
00
11
11
00
11
00
10
00
00
11
10
00
01
01
00
10
10
00
00
11
00
00
11
10
10
10
10
10
00
11
11
10
01
10
00
10
00
00
10
10
10
01
00
10
10
00
01
00
10
10
11
10
01
10
11
00
00
10
01
11
10
10
00
10
10
11
10
00
10
01
10
11
10
00
01
10
11
10
00
00
10
10
00
11
10
00
10
11
10
01
00
10
01
10
10
00
01
00
00
11
11
00
00
01
10
11
11
10
00
01
10
01
00
10
11
00
01
00
11
01
00
10
00
10
11
10
11
10
00
00
00
00
01
10
10
00
00
10
10
00
00
10
10
00
10
00
00
10
10
11
00
00
00
01
11
00
00
10
10
10
10
00
01
00
11
10
10
10
10
10
10
10
01
00
00
00
00
01
10
11
10
10
00
00
11
00
11
11
00
10
10
11
01
01
00
00
01
11
11
10
00
01
11
10
11
00
10
10
01
11
00
10
10
10
00
00
00
00
11
10
11
11
10
01
10
00
00
00
11
10
10
00
00
01
10
11
00
00
00
11
10
01
10
10
10
00
10
00
01
11
10
10
10
00
11
10
01
10
01
00
00
10
00
11
10
00
01
10
10
10
00
10
11
10
01
11
01
00
10
00
10
00
11
11
01
11
00
10
00
11
11
11
00
00
10
01
00
10
01
00
10
10
00
10
11
10
10
10
01
00
10
10
00
00
10
10
10
11
00
10
00
00
11
10
11
00
00
10
01
10
01
11
11
00
00
10
10
10
00
00
00
11
11
10
10
00
10
00
10
10
10
00
10
11
10
11
00
11
01
10
01
00
10
00
01
10
00
00
10
11
00
00
01
00
11
11
00
10
01
00
11
00
00
11
10
00
00
10
10
00
10
01
01
00
10
11
01
01
00
00
00
11
10
00
10
11
10
11
10
10
00
11
00
11
00
01
11
10
11
00
01
10
10
01
10
11
00
10
10
10
00
11
11
01
01
00
01
10
11
00
10
10
00
10
11
00
00
10
10
10
10
10
00
01
10
10
10
10
01
00
10
00
01
00
11
10
00
10
10
10
10
01
00
11
00
01
01
10
11
11
10
11
01
01
00
10
10
11
01
11
10
01
00
01
10
11
00
00
11
00
10
00
10
11
00
11
00
10
00
10
00
00
00
00
00
10
10
01
01
11
11
00
10
00
11
11
01
01
11
11
00
11
01
00
10
11
01
11
00
01
10
00
00
10
10
11
10
01
00
10
11
00
00
01
00
11
10
01
11
10
00
01
00
11
11
00
10
11
00
00
01
11
00
00
00
10
10
00
00
00
10
10
10
00
10
11
10
00
00
01
01
00
01
11
11
00
11
10
11
00
00
10
10
01
00
00
00
11
01
01
11
11
00
11
10
01
10
10
11
00
00
10
11
00
01
01
00
11
10
10
00
00
10
00
00
10
00
01
01
11
01
10
10
00
10
11
00
00
11
10
01
01
01
00
01
10
11
10
10
10
00
00
11
00
00
11
00
10
11
10
11
10
00
10
01
00
00
00
10
00
11
10
00
00
00
10
00
11
10
01
10
10
10
00
10
10
00
11
00
10
01
00
10
10
11
00
00
00
10
00
01
00
10
00
10
10
11
10
00
00
00
00
10
01
10
10
10
11
01
00
11
01
00
11
00
00
00
10
10
11
10
00
00
11
10
00
00
10
11
01
11
10
11
00
11
10
11
00
01
10
00
00
00
10
11
00
00
00
11
11
00
00
10
10
00
00
10
10
10
00
10
00
00
01
01
10
01
10
00
00
00
10
10
01
11
11
10
10
11
10
11
01
10
10
01
10
10
11
00
00
00
01
11
11
00
10
11
00
00
01
10
10
10
01
00
11
00
01
00
10
01
10
00
01
11
11
10
01
00
11
00
10
11
01
01
10
10
00
11
00
01
11
10
10
01
00
10
10
00
00
01
00
11
00
00
10
11
11
00
10
00
00
11
00
01
11
10
00
01
10
10
00
01
01
10
10
00
10
10
00
11
01
00
11
11
10
10
10
10
01
11
01
00
10
10
01
00
00
10
10
01
10
10
00
11
01
10
10
00
10
10
01
10
11
00
01
00
10
00
00
10
10
01
00
01
10
11
11
00
11
11
10
00
10
10
00
11
00
00
00
10
01
11
11
00
00
10
00
10
00
00
10
01
11
10
11
00
11
10
01
01
00
11
01
10
10
00
00
01
00
10
10
10
00
00
10
01
10
00
00
10
10
00
10
00
11
10
00
00
00
00
11
10
00
11
11
01
11
10
11
00
00
10
10
01
00
00
10
00
01
10
01
00
01
10
11
10
00
10
10
10
01
00
10
00
01
01
00
00
01
10
10
10
11
00
01
10
11
00
00
10
01
10
10
10
01
10
01
00
10
00
00
00
11
10
00
01
10
10
00
10
00
11
10
00
10
00
10
11
00
10
00
01
10
11
01
01
10
11
01
10
01
00
10
00
10
11
00
00
01
00
01
10
10
10
11
00
00
01
11
11
01
10
10
11
00
00
11
01
00
00
01
10
01
11
11
11
00
10
00
01
00
10
10
00
11
00
10
10
01
00
00
01
00
11
10
00
00
01
00
01
00
11
10
11
00
00
01
11
00
01
11
11
01
01
11
10
00
00
11
10
00
11
00
01
01
00
10
00
00
10
10
00
10
01
01
01
00
01
00
01
00
00
10
00
11
10
10
00
01
00
00
01
11
01
00
00
10
11
00
00
10
11
00
11
10
10
00
10
00
01
00
11
00
00
00
01
11
00
10
11
00
01
10
00
00
00
00
10
10
11
10
00
10
10
11
00
00
10
00
10
01
00
11
00
10
01
10
00
10
01
00
00
10
10
10
11
10
10
00
01
00
10
00
11
00
01
10
00
00
01
10
10
10
00
00
01
10
11
01
01
10
11
01
00
01
00
00
11
10
10
10
10
00
01
00
10
11
00
10
11
00
00
10
00
10
11
01
00
10
10
00
00
11
11
10
00
10
10
00
00
11
00
01
01
00
00
10
10
10
00
00
10
10
10
10
00
10
01
11
01
00
10
00
01
11
00
10
00
10
00
10
00
00
00
11
00
10
10
10
00
10
00
01
10
10
10
11
00
11
01
00
10
10
10
11
00
00
01
00
10
00
00
10
00
00
10
10
01
11
11
11
10
10
11
00
01
10
10
00
10
10
00
10
10
10
00
00
00
11
01
00
01
11
10
01
01
10
10
10
00
10
01
00
11
00
01
11
00
11
00
00
10
10
00
00
00
10
10
00
00
00
01
01
10
01
10
10
10
00
10
00
01
11
10
10
00
10
01
01
01
01
11
00
01
11
10
10
00
00
10
10
01
11
10
00
00
00
00
11
11
01
10
11
00
11
00
10
01
10
10
00
11
00
00
00
10
10
00
10
10
10
11
00
01
00
11
11
11
00
11
01
01
10
10
10
00
00
11
01
00
01
11
01
00
00
11
11
01
01
11
00
00
00
11
01
00
11
10
01
00
10
11
10
00
00
10
10
11
11
10
10
10
00
00
10
00
00
01
11
11
01
10
00
00
10
11
00
00
10
10
00
11
10
11
11
10
10
11
10
10
00
10
00
10
00
00
11
00
10
00
01
00
01
11
11
11
10
11
00
01
00
00
11
10
10
01
10
10
00
00
00
10
11
00
10
10
10
10
00
01
11
10
01
10
00
10
10
00
11
01
10
10
01
00
11
01
01
10
10
00
11
10
00
01
11
01
10
11
10
00
11
10
00
01
00
11
10
11
10
10
11
00
10
11
10
01
10
01
01
00
00
10
10
01
00
00
11
10
11
00
11
10
10
01
01
01
10
10
00
00
01
10
00
00
10
11
00
00
01
11
01
00
10
10
10
10
01
00
11
10
00
10
10
00
01
10
00
11
10
00
10
00
00
00
10
10
11
00
01
01
10
00
00
11
11
00
00
01
10
11
01
00
11
00
10
10
00
00
11
11
10
00
00
10
00
10
10
00
01
10
10
11
01
10
00
01
11
10
10
00
01
00
10
10
00
00
10
10
01
00
10
11
10
11
11
10
10
00
10
00
00
00
00
00
10
10
11
10
10
10
11
01
01
00
00
11
11
00
11
10
00
01
11
10
01
11
10
11
00
00
10
10
00
10
11
10
00
01
00
11
10
10
11
01
00
01
01
10
11
00
00
10
00
00
10
10
10
10
10
00
00
00
10
00
00
00
10
00
11
10
00
00
10
00
10
00
10
00
10
11
00
01
11
10
10
01
00
10
01
00
01
01
01
10
10
11
10
10
00
11
00
00
10
11
00
10
01
00
11
01
00
11
01
10
10
00
00
10
00
01
11
00
10
00
00
11
00
01
11
10
10
01
10
10
10
10
01
00
00
10
10
01
01
01
10
10
10
00
11
10
00
00
11
10
11
00
00
10
11
10
10
01
11
11
11
01
00
11
11
00
00
11
01
11
10
00
10
00
01
10
01
10
10
00
10
10
00
00
11
11
00
10
11
00
10
01
11
10
10
00
01
10
01
00
01
10
10
11
10
00
10
00
01
10
01
11
10
10
10
00
00
10
10
00
00
10
10
10
00
01
00
11
10
10
00
11
00
00
00
10
10
00
01
00
10
00
00
11
00
00
11
11
00
10
11
00
11
11
10
10
00
00
00
00
01
10
10
01
11
01
00
01
11
00
00
11
00
01
10
11
00
01
10
10
00
01
01
10
10
00
10
00
00
10
11
11
11
11
11
11
00
11
00
00
00
00
10
00
00
10
11
01
10
11
00
10
00
01
10
01
00
10
10
01
01
10
01
10
01
10
10
11
00
10
00
01
00
00
00
10
11
10
10
00
10
00
00
00
01
10
11
10
00
10
10
10
00
00
11
00
00
10
10
00
10
10
11
01
00
10
00
10
00
00
01
11
10
10
11
11
10
10
00
11
11
10
01
11
00
11
10
00
00
10
11
00
01
10
11
10
00
01
10
00
00
10
10
11
00
01
00
01
01
01
01
11
00
00
11
10
10
00
00
10
11
00
00
10
10
10
10
11
11
10
00
00
00
00
00
00
10
10
11
00
11
01
01
00
01
10
01
00
10
00
10
10
01
00
10
00
10
10
00
01
00
10
00
00
10
10
00
10
00
00
01
01
01
01
00
00
11
10
11
11
01
01
10
00
00
01
00
11
10
00
10
10
00
01
01
10
00
01
10
10
00
00
11
00
01
10
00
00
10
10
00
11
00
00
11
00
10
00
01
11
10
01
00
10
10
01
11
10
01
01
11
00
00
10
11
10
01
00
01
10
11
01
00
10
10
10
00
11
10
01
10
10
00
00
10
10
00
01
11
10
10
00
11
10
11
10
10
00
00
10
01
00
00
01
10
01
10
10
01
10
10
00
00
01
10
00
10
10
00
10
00
10
10
10
10
01
10
01
01
10
11
01
01
01
00
10
00
00
00
10
10
10
10
00
10
00
00
10
10
01
01
01
00
10
01
10
00
00
11
10
10
01
10
01
10
00
01
00
10
10
11
00
00
11
10
11
01
11
00
10
10
00
01
00
10
10
10
00
00
10
01
00
01
00
00
00
00
10
00
10
10
10
11
10
11
00
01
00
01
00
00
11
11
00
01
11
11
10
01
11
01
01
10
10
00
00
10
00
10
10
00
00
10
10
00
10
10
00
01
01
00
01
00
10
10
00
01
00
11
10
10
11
00
10
10
01
00
10
00
11
00
00
00
11
00
10
10
00
01
10
00
00
00
00
11
00
10
01
11
10
01
10
11
10
00
00
11
10
11
00
00
01
01
11
01
00
11
10
10
00
10
11
11
10
01
11
10
10
00
01
00
00
10
10
10
10
10
00
10
11
10
10
01
11
01
11
10
00
10
10
00
00
10
10
10
01
00
01
11
01
10
10
01
10
00
00
00
11
00
00
10
01
00
00
11
00
10
10
01
10
10
11
10
10
10
01
10
00
10
00
10
10
10
00
10
10
10
00
10
00
00
00
01
11
00
01
10
00
11
10
00
01
00
10
10
10
10
00
00
10
11
00
10
00
10
00
00
00
01
11
10
00
00
00
00
00
10
00
10
01
01
11
11
11
10
10
00
00
00
10
10
10
10
11
00
01
11
10
00
00
10
11
11
01
01
01
11
00
01
11
00
00
00
00
10
10
00
00
10
10
10
11
11
10
00
11
11
10
11
01
10
10
01
11
01
01
10
11
01
11
01
00
10
00
00
10
01
00
11
11
01
01
11
11
00
10
10
01
01
00
11
10
10
10
11
11
00
00
10
00
10
00
10
11
00
10
11
10
01
11
00
00
11
01
10
10
01
00
01
10
11
01
00
10
10
00
00
10
10
11
01
11
10
01
01
10
01
11
11
00
10
00
11
11
00
10
01
00
11
00
10
11
11
00
01
11
10
01
00
00
10
01
10
11
10
00
10
10
11
01
00
10
10
10
00
00
10
01
00
01
01
10
10
01
00
10
10
00
00
11
00
00
11
00
01
01
10
10
00
00
10
10
00
00
10
10
10
11
10
10
10
00
11
00
01
10
10
00
01
10
01
10
11
00
00
11
10
10
00
00
10
01
00
10
11
00
10
10
01
01
00
11
00
10
10
00
10
00
10
11
10
10
00
10
00
00
01
10
10
11
01
01
01
00
10
01
00
01
10
10
01
10
11
00
00
10
11
01
00
01
10
10
10
01
10
10
00
00
11
01
00
01
10
00
01
10
01
00
10
10
10
00
00
10
10
00
00
00
10
00
11
10
10
00
00
10
10
11
01
00
00
00
01
00
10
10
00
00
01
11
10
00
00
11
10
11
01
10
11
00
00
10
00
00
10
00
00
00
00
01
10
10
10
00
01
10
10
10
10
10
01
00
10
10
00
10
01
00
01
10
10
11
11
10
10
00
00
00
11
10
11
10
10
00
00
10
00
00
00
11
10
01
01
10
00
11
11
11
10
10
00
11
00
10
10
10
00
00
10
10
00
00
00
00
10
00
11
11
00
00
01
10
10
00
10
01
01
11
00
11
10
11
01
00
11
01
01
01
11
01
00
00
10
01
00
10
10
00
01
01
01
00
11
11
11
00
00
01
11
11
10
00
10
10
00
00
11
10
10
00
00
10
00
00
01
10
00
00
00
10
01
00
11
01
01
00
10
11
10
10
00
10
11
00
11
10
01
10
11
10
00
00
10
00
00
10
10
00
01
00
11
00
00
10
00
00
00
10
10
00
10
10
00
10
10
10
00
10
01
01
10
10
01
01
01
00
10
00
11
11
01
01
01
01
00
11
10
10
00
00
11
10
11
00
11
00
00
10
10
01
00
01
10
01
10
00
00
10
00
10
00
00
01
10
01
01
11
01
01
11
10
10
00
01
10
00
00
00
11
11
00
00
01
10
10
01
10
10
00
11
10
01
00
10
10
00
10
00
10
01
01
00
10
00
10
01
00
00
00
00
10
11
11
00
11
11
10
01
10
10
00
01
00
10
11
00
11
00
10
11
00
00
10
00
00
10
10
00
11
10
10
11
01
10
10
00
10
10
01
00
01
01
00
10
10
11
11
01
00
11
10
11
00
10
01
00
10
00
00
10
10
00
01
10
00
00
11
11
00
00
10
10
10
10
01
00
01
00
10
10
10
10
01
00
10
10
00
00
01
10
00
10
00
11
11
01
11
00
10
11
10
00
11
10
00
00
11
10
00
00
10
01
01
11
11
10
00
11
00
00
11
11
00
00
00
10
00
11
00
01
01
10
00
01
10
10
00
00
10
01
00
11
10
00
01
11
00
01
10
10
10
00
01
11
01
00
01
10
00
01
00
11
00
01
11
00
10
00
01
10
10
00
00
01
00
10
10
10
10
00
10
11
11
10
01
01
10
00
00
10
10
10
01
10
00
11
10
00
11
00
00
10
10
01
00
10
10
10
00
10
10
01
00
11
11
11
01
11
10
11
10
01
01
01
10
11
10
11
10
10
11
10
00
00
00
00
11
01
00
11
11
10
00
10
10
11
00
10
01
10
11
10
11
01
00
10
10
00
10
00
01
01
10
00
01
11
10
00
01
10
10
11
10
10
10
10
00
00
01
11
10
01
10
01
00
11
10
00
01
10
11
00
00
01
00
10
01
00
01
10
10
10
01
10
00
00
11
00
10
00
00
10
11
01
00
10
10
00
11
00
00
10
01
11
00
00
11
10
11
11
00
01
11
00
00
10
11
10
10
01
01
10
10
10
10
00
10
00
10
01
00
01
00
01
10
10
01
00
10
11
10
00
10
01
10
10
10
00
00
10
00
10
11
01
11
10
10
00
01
10
01
00
00
10
10
00
11
10
00
00
11
00
00
10
00
10
10
01
00
00
00
10
10
00
10
00
11
10
10
01
01
10
10
10
00
10
10
00
11
11
00
10
00
10
10
01
00
10
10
01
10
01
01
10
11
00
10
00
11
11
00
11
10
10
00
10
10
00
00
01
00
00
00
10
10
10
10
00
10
00
10
00
10
11
10
00
10
01
11
00
01
11
00
10
10
00
10
00
10
11
10
00
11
10
01
00
00
11
10
00
10
11
01
00
01
01
00
01
01
11
10
10
00
01
00
10
10
00
01
01
10
00
00
10
10
01
01
11
10
00
11
00
01
11
01
00
11
10
10
00
10
00
00
10
10
10
00
00
11
01
10
11
11
01
10
11
00
10
10
10
11
00
10
10
00
00
01
10
00
11
00
00
00
01
00
11
11
10
10
00
01
11
00
10
10
00
00
01
01
10
11
00
11
00
01
10
10
00
10
00
01
10
11
11
00
00
11
01
11
11
10
01
00
10
00
00
11
10
01
01
00
10
01
10
10
10
11
00
10
11
00
01
10
01
00
10
01
00
00
10
00
00
01
10
10
10
00
00
00
00
11
00
11
00
10
11
10
00
01
00
10
01
01
01
01
11
10
11
00
10
00
11
11
00
10
10
10
00
00
11
00
00
10
11
01
01
01
00
10
10
10
01
00
10
10
10
01
10
10
01
00
11
00
00
00
00
00
10
10
00
10
11
10
01
00
00
11
11
11
00
00
10
10
10
01
00
10
00
00
00
10
00
00
00
00
00
10
00
00
11
10
10
10
00
01
10
01
01
11
00
00
01
00
11
10
11
01
01
01
10
10
10
10
01
00
10
11
10
00
10
10
00
01
00
11
10
11
10
10
11
10
10
00
11
00
11
11
01
10
00
01
00
00
00
10
11
11
00
00
11
10
00
10
11
10
01
11
01
00
01
00
00
01
00
11
10
00
01
11
10
10
00
11
00
10
01
01
10
00
10
10
10
10
11
01
10
00
00
10
10
11
10
10
01
10
00
10
00
00
10
00
11
01
01
01
11
11
10
10
00
00
10
10
01
00
00
10
01
10
00
00
00
10
01
01
10
01
10
10
10
00
00
00
10
10
10
11
10
00
11
01
11
00
01
01
11
01
00
11
10
00
01
00
10
10
01
00
11
10
01
10
10
00
10
01
01
10
01
10
10
11
10
01
01
00
10
00
01
11
01
00
01
10
00
00
11
10
10
00
11
00
10
10
00
01
11
01
10
10
10
10
00
00
10
01
10
11
01
10
01
00
00
10
10
00
11
00
00
11
10
00
00
01
10
00
01
11
10
00
11
00
00
10
10
00
00
00
11
11
10
00
10
11
10
10
00
00
10
11
11
01
10
10
11
10
01
00
10
00
01
10
10
10
11
11
01
11
10
10
10
00
11
01
00
10
10
00
00
01
11
00
00
00
10
10
00
10
10
01
10
01
00
10
10
00
00
10
00
01
10
00
00
00
10
10
11
10
00
10
00
11
00
00
11
11
00
00
10
00
11
00
00
00
10
10
01
00
00
10
11
10
00
10
10
00
00
10
10
10
10
00
10
00
00
00
00
10
10
00
11
10
11
00
00
10
00
00
10
10
00
11
01
00
00
00
10
11
01
00
11
10
11
10
00
00
10
11
00
01
10
10
00
10
11
01
10
01
01
10
01
01
01
00
00
10
11
00
00
11
11
00
01
10
00
10
10
01
00
10
10
01
10
00
10
00
11
10
10
10
01
11
11
11
00
11
01
11
11
00
00
01
01
01
10
10
00
01
11
10
00
11
00
00
01
11
00
00
10
00
10
11
10
10
01
01
01
11
00
11
10
00
10
11
00
00
11
11
11
00
11
10
10
10
11
10
00
00
00
00
00
10
10
10
00
01
10
01
01
11
10
10
11
00
01
10
11
01
00
11
01
00
10
10
10
00
10
00
00
10
00
00
10
10
01
10
10
11
10
00
00
11
00
00
00
11
00
00
10
01
00
10
01
11
10
10
10
01
00
00
11
10
00
00
00
10
10
10
01
10
01
00
10
10
00
11
10
01
00
11
11
11
01
00
10
10
11
10
00
00
10
10
10
00
01
10
10
01
11
00
01
10
11
11
00
10
11
00
11
01
00
10
11
01
10
01
00
01
10
00
00
10
11
00
11
11
10
11
00
11
10
00
00
00
10
11
00
01
10
11
10
00
11
10
00
00
00
11
10
11
00
00
00
10
10
00
01
10
01
00
10
00
11
10
11
10
11
00
00
11
10
10
01
10
11
00
01
01
01
10
00
01
11
10
10
10
00
00
10
00
00
10
10
11
10
11
00
10
10
00
10
11
00
01
10
11
11
10
00
01
10
10
11
00
00
01
11
10
01
00
00
00
10
01
00
10
11
10
00
01
11
10
01
11
00
11
00
01
01
00
10
00
00
10
10
00
00
10
00
10
01
01
00
00
00
00
01
00
11
11
11
00
00
01
00
10
11
00
00
00
10
10
01
10
11
00
00
01
11
11
00
00
11
10
10
11
00
00
10
00
10
10
00
10
01
01
01
00
01
11
10
11
10
00
01
00
10
11
10
10
00
10
11
10
01
00
00
10
01
10
10
11
00
00
00
00
10
11
00
01
01
10
01
10
00
11
10
10
00
00
11
00
10
10
00
10
10
01
10
11
10
11
00
10
00
10
00
01
11
11
00
00
00
10
00
00
00
10
10
01
00
01
00
00
00
00
00
10
11
00
10
01
00
00
11
10
10
10
00
00
10
10
10
10
11
10
10
00
00
10
10
00
00
10
10
00
10
10
00
00
10
10
00
00
10
01
00
11
00
00
10
00
11
11
00
10
01
01
11
00
01
00
11
00
11
10
00
11
00
00
11
10
01
11
10
01
10
11
01
00
11
10
00
00
10
11
00
00
10
11
00
00
00
00
00
10
10
10
10
00
10
00
00
10
00
10
01
11
00
11
10
10
00
01
00
10
01
00
00
01
10
01
10
10
01
00
00
00
10
11
10
00
01
01
10
00
11
10
10
10
00
10
10
00
01
11
11
01
11
10
00
10
10
00
01
10
11
10
11
01
00
10
10
00
00
01
10
00
00
00
10
10
01
01
10
10
00
00
11
11
11
10
01
10
10
10
10
00
00
01
10
01
01
00
10
11
10
11
10
01
10
00
00
11
00
00
00
10
01
01
11
11
10
10
01
00
01
10
00
00
10
10
10
11
10
00
01
10
01
01
00
11
10
01
00
00
10
10
10
01
00
10
11
10
00
11
10
00
01
11
01
01
00
00
11
11
00
01
10
10
00
00
11
01
00
11
00
10
10
00
10
00
10
10
00
10
01
00
00
11
01
00
11
11
10
00
00
10
00
01
01
10
00
11
10
00
11
10
11
10
00
00
01
10
10
10
00
00
00
11
10
10
10
11
01
10
01
00
10
11
00
11
00
10
10
00
00
01
01
11
00
00
10
10
01
10
10
01
11
10
01
01
00
11
00
11
10
10
11
11
00
11
11
10
11
00
10
00
00
10
11
10
00
01
10
10
10
11
01
01
01
00
00
11
10
11
10
01
00
10
11
10
00
00
10
11
10
10
00
00
10
01
00
10
10
01
10
01
00
10
01
01
00
00
11
00
00
10
11
00
10
10
01
10
00
00
00
10
10
10
00
10
10
10
11
01
00
10
10
11
01
00
00
10
01
10
00
01
10
11
00
01
11
01
10
01
11
00
10
11
01
10
10
00
10
10
00
10
00
10
00
00
00
10
00
00
10
00
00
00
10
11
00
10
00
11
00
11
11
10
00
00
00
10
00
10
10
01
11
10
00
01
10
10
10
11
01
00
00
11
11
01
10
00
10
11
00
11
10
00
01
01
00
11
10
01
00
10
10
00
11
10
11
00
00
11
10
11
00
01
10
10
11
01
10
10
00
00
10
11
00
11
00
01
00
00
11
00
00
10
11
01
01
00
10
00
00
00
01
10
01
11
11
10
10
01
01
10
01
00
10
00
11
10
11
00
01
10
01
10
00
01
10
11
10
00
01
11
01
11
11
00
10
01
00
11
10
10
01
10
10
10
01
00
11
10
11
11
00
00
00
01
10
10
01
00
10
01
10
10
00
10
10
10
10
01
10
10
11
00
10
10
00
11
01
01
01
10
10
01
10
00
00
10
10
01
10
10
10
10
10
00
01
11
00
00
10
11
10
00
01
11
01
11
10
11
00
10
00
10
01
01
10
10
10
01
10
01
00
11
00
00
01
10
00
00
10
10
11
00
00
00
10
00
11
00
10
00
00
00
10
10
10
00
01
10
00
10
10
01
00
00
10
01
00
11
00
00
10
10
00
10
00
00
01
10
10
10
01
01
10
10
10
10
00
00
00
00
11
11
10
10
10
10
10
10
10
10
11
00
00
10
01
10
00
10
10
01
00
10
01
00
10
11
11
00
11
10
01
00
00
01
10
11
00
10
10
11
00
10
11
01
10
10
11
01
00
10
10
00
00
00
10
00
00
10
01
10
00
00
10
10
10
10
10
01
00
10
10
11
00
11
10
01
01
10
00
11
11
01
00
10
01
00
10
10
10
00
00
00
00
00
10
10
01
10
11
11
10
00
00
10
10
10
00
00
01
00
11
00
11
00
10
11
11
11
01
11
11
10
01
00
10
11
00
01
00
11
10
10
01
11
10
10
10
01
11
00
01
10
10
01
10
01
00
01
10
10
01
10
10
01
11
10
00
10
11
00
10
11
00
01
00
00
11
01
01
00
00
10
11
00
11
00
01
10
10
00
00
11
00
01
11
00
10
01
00
00
11
10
00
01
10
00
00
00
10
00
01
10
11
00
11
10
00
01
10
11
10
00
00
11
00
10
10
00
00
10
10
00
11
10
00
01
10
00
00
10
10
11
00
00
00
10
00
00
10
10
00
00
01
10
10
10
10
10
10
00
00
00
01
10
11
00
10
10
10
00
10
11
00
11
00
01
10
11
10
00
00
10
01
00
01
10
00
10
10
10
00
10
10
00
00
11
00
10
11
00
00
11
00
11
10
01
01
01
01
00
01
11
11
00
00
10
11
00
01
10
10
00
10
11
10
10
00
00
00
00
00
01
00
10
00
01
10
11
11
11
00
11
01
11
00
01
10
11
10
00
00
01
11
01
00
10
11
10
10
00
01
10
10
00
10
10
10
10
01
01
11
01
11
00
00
00
01
10
10
11
10
10
10
00
11
00
01
11
10
11
00
00
10
00
00
10
01
01
01
11
10
00
00
10
10
01
01
10
00
00
00
11
01
00
11
00
11
00
10
10
10
10
00
00
00
00
00
00
00
11
00
10
01
10
01
10
10
00
10
00
11
10
00
10
10
11
00
00
11
11
00
00
11
00
00
11
11
10
01
00
10
11
01
00
00
10
10
01
01
00
10
01
10
11
10
10
11
10
01
10
00
01
01
00
01
00
10
00
10
00
01
10
10
10
00
10
00
01
01
00
10
00
00
00
10
10
00
00
11
10
00
00
00
11
11
01
11
10
01
00
10
00
10
10
01
00
11
00
00
01
10
10
10
01
01
00
10
10
10
10
00
00
11
00
10
10
00
10
01
00
10
11
00
00
00
00
10
10
00
00
00
10
00
01
10
00
00
01
00
00
01
00
00
11
01
01
00
10
11
00
01
11
10
00
11
10
10
00
00
00
11
10
10
10
01
11
00
00
01
11
00
10
10
00
00
01
01
10
01
00
10
00
10
00
00
00
11
10
00
00
01
11
10
00
00
00
10
10
00
10
10
00
01
10
00
00
00
11
00
11
10
10
10
00
11
10
00
00
00
00
00
00
00
11
01
00
00
11
10
01
10
10
01
00
11
10
10
01
10
01
00
01
10
01
01
10
00
10
10
00
10
01
11
00
00
01
00
01
00
10
00
00
11
10
00
00
11
00
11
00
10
00
01
00
11
11
00
00
00
11
10
10
11
10
10
00
10
10
00
10
10
10
10
00
11
11
11
01
01
00
00
00
10
00
01
10
10
00
00
01
10
11
11
00
10
10
11
11
00
01
00
10
01
01
00
10
00
11
00
10
10
01
00
10
00
01
10
10
00
00
01
00
10
10
10
01
11
00
00
10
00
01
00
10
10
10
10
00
00
11
11
10
11
00
00
10
00
00
10
01
00
00
11
10
00
00
10
00
01
10
11
10
11
01
00
10
00
00
00
00
10
00
00
10
00
11
11
01
00
00
11
01
01
00
10
10
11
10
00
00
11
10
00
00
10
01
00
10
00
01
10
01
00
01
01
01
10
00
10
10
01
00
01
11
11
11
10
10
10
10
00
10
00
11
10
00
00
10
10
10
00
00
11
11
11
10
01
00
00
10
00
10
10
00
00
11
00
10
10
10
10
00
01
11
00
01
10
01
00
00
10
10
00
11
10
00
11
11
10
00
00
11
10
00
01
11
11
01
01
01
00
01
00
10
00
00
11
10
10
01
10
00
01
00
11
11
01
11
00
00
00
10
11
10
00
01
10
00
10
01
10
00
00
10
11
01
11
00
01
11
10
10
00
10
00
01
10
01
10
00
10
10
11
10
11
11
01
11
10
01
11
11
01
01
01
00
01
10
11
00
00
10
10
10
00
01
11
11
10
10
01
11
10
00
00
10
01
01
10
00
00
00
00
10
00
00
10
11
10
10
11
00
10
00
00
10
10
10
00
10
00
00
10
00
10
11
10
10
01
01
10
11
00
01
01
10
10
01
10
10
00
00
00
11
00
01
00
10
00
00
00
11
00
10
11
00
11
00
00
10
10
01
10
00
01
10
10
10
11
01
00
10
00
01
11
10
11
11
01
01
11
00
01
10
10
01
01
11
10
10
00
10
11
00
00
00
10
10
10
10
10
10
01
11
11
10
00
11
01
00
10
10
01
00
11
00
11
10
01
00
01
11
01
00
10
10
00
01
10
10
11
00
00
01
00
11
01
00
10
00
10
00
01
10
00
01
10
01
10
11
10
01
00
00
00
11
10
11
00
01
10
10
01
01
10
10
10
10
00
01
10
01
10
10
01
10
10
00
00
10
11
00
01
01
11
11
00
01
11
00
00
00
10
10
11
10
10
01
00
00
01
11
00
01
10
11
00
01
10
01
00
10
00
10
11
00
10
10
11
01
10
10
01
00
11
11
00
10
11
00
10
00
10
11
01
00
00
10
00
00
10
01
10
01
00
00
00
10
10
00
10
10
00
01
10
10
10
01
00
01
00
10
10
00
10
00
10
01
10
11
10
01
00
01
00
00
10
00
10
10
11
00
11
10
10
01
00
11
00
11
10
10
10
01
10
10
01
01
10
01
00
10
01
10
01
00
00
11
00
00
10
01
10
10
11
10
10
10
01
10
10
10
00
00
11
10
00
00
01
00
00
11
11
00
10
10
11
10
01
11
01
00
00
00
11
01
00
00
10
00
11
00
00
10
00
10
10
10
00
01
00
00
10
11
00
10
10
00
01
01
10
01
00
10
10
10
00
10
10
00
10
00
10
10
00
10
01
01
11
01
10
11
10
10
01
00
10
00
01
10
10
10
10
00
00
11
00
00
00
01
00
00
11
01
01
11
00
10
10
00
00
11
11
10
00
00
01
10
10
01
00
00
00
10
11
10
01
11
10
01
10
10
01
11
10
11
00
01
00
11
10
00
00
01
01
10
10
11
01
01
10
10
10
00
00
10
01
10
01
00
00
00
10
11
10
10
11
01
00
11
11
10
10
00
00
01
00
01
00
11
00
10
00
00
11
11
10
00
00
01
00
00
10
10
11
10
10
00
01
10
01
10
01
01
10
01
00
10
11
10
00
01
10
10
00
11
10
01
00
01
01
01
10
11
10
01
00
11
00
00
11
11
00
00
11
00
10
00
11
11
00
10
10
01
00
10
00
00
10
01
10
11
01
00
10
01
10
00
00
10
10
00
11
00
11
10
11
10
01
00
10
10
00
10
11
00
11
00
00
01
11
10
00
00
11
00
11
00
00
10
10
10
00
11
11
10
10
00
00
01
11
11
10
01
00
10
01
00
00
11
00
10
10
11
01
10
10
01
10
10
10
11
10
10
00
00
00
11
00
01
01
10
00
00
01
10
10
00
00
01
00
11
11
10
00
00
00
10
01
00
10
00
10
00
00
01
11
11
00
10
00
01
01
10
10
00
10
10
10
01
00
10
01
00
10
00
10
10
11
00
01
10
11
00
00
00
10
10
01
10
00
10
10
00
00
01
10
01
00
10
10
10
10
11
01
00
10
00
00
11
00
00
00
00
10
10
10
11
10
10
00
10
10
11
01
00
10
00
01
01
00
10
10
10
10
10
00
11
10
00
00
10
01
00
11
11
01
00
10
10
00
10
01
00
11
10
11
00
10
10
00
01
10
10
00
01
11
11
00
10
10
10
00
00
10
10
00
01
11
10
10
10
10
10
11
00
01
00
10
01
01
00
01
10
10
10
00
00
01
11
10
00
11
10
11
01
10
11
00
00
10
10
00
00
10
11
00
10
11
01
11
11
10
01
00
11
00
11
10
00
10
11
10
00
01
10
00
01
11
10
10
00
01
10
10
01
11
00
10
10
00
11
01
00
11
00
01
11
00
10
01
00
10
00
00
10
10
11
10
11
01
01
10
01
11
10
00
00
10
00
01
00
01
00
11
11
10
11
00
11
01
00
11
10
00
00
00
01
00
01
10
00
10
00
00
11
01
00
01
10
00
10
10
00
10
01
10
11
00
10
01
01
00
11
10
01
01
10
10
00
10
10
11
00
11
10
00
10
00
10
00
11
10
01
00
00
10
10
01
10
11
00
00
10
00
10
11
10
00
00
10
10
00
10
01
11
10
00
11
11
11
10
00
00
10
10
00
11
10
01
10
00
00
00
00
00
00
10
00
10
11
10
11
00
11
01
10
00
00
00
10
10
01
11
00
10
00
01
10
11
10
01
01
10
01
00
01
10
10
01
00
10
10
11
00
00
01
10
11
11
00
00
01
01
10
10
00
10
00
11
10
01
10
01
10
00
00
10
11
00
11
10
00
00
01
10
10
01
00
10
00
10
01
01
00
00
10
10
11
00
01
10
10
00
10
00
00
10
10
00
00
10
10
00
00
00
00
01
11
01
10
10
00
11
00
10
00
00
10
10
00
10
10
00
10
10
11
10
01
00
01
00
11
10
01
10
11
00
01
00
11
11
01
01
10
11
01
00
00
10
00
10
00
00
10
11
11
01
10
01
10
00
00
00
11
10
00
00
11
10
01
00
11
00
11
01
10
11
01
00
11
00
00
00
10
10
00
10
11
00
00
10
00
10
10
01
00
01
00
10
10
01
00
11
00
00
00
11
10
01
00
10
01
10
00
00
10
00
00
11
10
10
11
10
01
10
10
00
00
00
11
11
00
00
11
10
01
10
00
00
10
00
00
10
10
10
01
00
01
00
10
10
00
10
00
10
10
01
01
10
11
10
10
10
00
01
00
10
11
00
01
10
11
00
01
10
11
00
11
10
01
00
00
01
00
10
00
01
10
00
11
11
11
10
10
00
00
11
10
00
10
10
00
10
11
01
00
10
00
01
00
10
11
00
10
00
00
11
10
10
01
10
00
10
00
00
10
11
10
01
00
00
10
10
00
01
10
10
10
00
00
00
01
10
10
00
11
01
01
11
11
11
00
10
00
00
00
10
10
10
01
10
10
00
10
10
01
00
01
00
10
01
11
11
10
10
00
10
11
01
10
10
10
10
11
01
11
01
10
00
00
00
10
10
00
00
01
00
01
01
01
11
10
01
00
01
11
10
00
00
10
10
10
10
11
10
00
00
10
01
01
00
00
11
00
01
10
10
10
00
00
10
11
00
00
10
00
10
10
10
11
10
11
00
00
11
10
11
10
01
00
10
11
10
11
01
10
01
10
00
11
00
01
10
10
01
01
10
01
00
00
11
10
00
01
11
10
01
00
01
00
00
11
10
11
00
10
10
00
01
10
00
01
01
01
00
10
11
10
01
00
10
01
00
10
00
10
10
10
00
10
01
00
00
01
10
01
00
01
10
11
11
00
01
10
11
01
00
10
11
10
00
10
00
00
00
00
11
01
10
00
10
01
10
10
11
00
00
10
00
11
10
00
00
10
11
10
10
01
10
10
10
00
10
11
10
01
00
00
00
01
10
11
11
01
11
10
01
10
11
00
01
00
10
11
00
11
01
00
10
11
10
10
10
00
01
01
10
00
10
10
10
10
00
00
11
10
10
01
00
00
00
10
11
00
11
10
00
01
00
10
00
01
11
00
10
10
00
00
11
10
00
01
10
01
00
10
00
00
10
10
01
10
11
00
01
11
01
11
00
10
10
10
00
10
10
11
11
11
10
00
00
01
10
00
01
10
11
00
10
00
01
10
10
01
00
11
00
01
00
01
00
10
10
01
10
10
11
00
10
00
00
10
00
00
10
10
10
01
01
00
00
10
10
00
00
11
00
10
00
10
01
11
11
00
00
00
00
01
00
00
10
10
01
00
01
10
00
00
11
10
00
11
01
00
01
11
11
00
11
01
01
01
11
10
11
00
01
11
00
01
10
11
11
10
11
01
00
11
00
01
10
10
00
00
10
11
10
00
10
00
01
00
00
00
10
10
01
01
10
11
00
01
01
00
10
11
00
00
10
11
01
00
10
00
00
00
00
10
11
11
10
11
11
11
10
00
00
10
10
00
10
00
00
00
00
10
00
10
11
00
10
00
10
00
00
10
10
00
01
00
10
00
00
10
01
00
00
01
11
10
10
10
00
00
01
10
10
00
10
11
10
11
10
11
00
01
10
11
10
00
10
10
10
00
00
11
00
01
10
11
01
01
10
10
10
00
10
00
00
10
10
00
00
00
01
10
10
10
10
11
00
00
00
10
00
01
10
00
00
10
00
00
00
11
10
10
10
10
11
00
11
10
00
00
10
00
01
10
10
11
11
10
01
10
10
00
10
10
01
10
00
11
10
01
10
11
10
00
10
10
00
10
00
00
10
10
11
10
00
00
00
10
00
00
11
11
00
11
00
00
11
00
00
00
11
10
10
10
00
10
01
00
10
01
01
00
10
00
00
01
00
10
10
00
10
11
10
01
01
10
00
01
00
10
11
00
01
10
00
10
01
10
10
00
01
00
00
00
00
10
11
01
01
10
00
10
10
00
01
10
11
00
00
01
00
11
00
10
10
10
11
00
01
10
00
00
00
11
11
11
00
10
00
00
11
10
11
00
11
10
01
00
10
00
01
00
11
10
01
00
10
01
01
10
10
10
00
11
10
10
01
00
11
00
01
00
10
11
01
10
10
10
00
10
11
10
11
00
11
10
10
10
00
10
11
10
01
11
00
00
10
11
10
10
00
00
11
00
00
10
11
10
11
01
10
01
00
00
01
00
00
00
01
10
01
10
11
10
01
11
10
01
00
00
10
00
10
01
10
10
00
01
01
10
10
00
10
10
00
10
10
01
00
10
00
00
11
10
00
10
10
01
10
11
01
01
01
00
00
10
10
01
01
10
11
11
10
01
01
00
10
00
00
00
00
10
01
00
01
10
01
00
10
01
11
11
10
01
00
00
10
11
01
01
11
10
01
01
10
10
00
11
10
01
00
10
10
00
01
01
10
10
10
10
00
00
00
00
00
00
10
10
10
00
10
00
11
00
00
01
11
11
11
11
00
00
11
11
01
01
10
11
10
00
01
00
11
11
00
00
11
10
00
01
00
11
00
10
11
11
00
00
10
00
00
00
11
00
00
10
00
10
00
00
00
11
11
10
01
00
11
10
10
00
10
10
00
00
10
10
01
10
10
00
01
10
10
10
00
00
10
00
00
00
00
01
10
10
01
10
11
00
01
10
11
10
10
01
00
10
00
01
11
10
00
10
11
00
10
10
01
10
01
00
10
10
01
01
00
10
10
00
00
00
10
10
11
01
00
10
11
01
10
01
11
01
00
11
01
01
11
10
00
01
11
10
10
01
01
11
11
00
00
10
00
10
00
00
10
10
00
10
00
10
00
11
11
10
10
01
00
00
10
10
01
10
11
00
10
00
01
10
00
11
10
00
10
00
00
00
11
00
00
11
10
00
01
10
01
10
00
00
00
10
00
10
11
00
01
00
11
10
10
10
11
10
00
01
10
00
00
00
01
10
11
11
10
01
10
10
01
00
10
10
00
00
11
10
01
10
10
11
01
11
10
10
00
00
10
00
10
10
01
10
10
00
00
11
11
10
00
00
00
01
01
10
10
01
00
10
00
00
10
10
00
11
10
00
01
00
01
11
01
11
01
00
11
10
00
10
10
01
00
01
11
10
11
01
01
00
10
00
00
00
10
10
00
10
11
00
00
00
10
01
00
01
10
01
01
11
00
10
01
00
00
10
01
01
00
00
10
11
00
11
00
00
01
00
10
00
00
10
00
00
00
10
11
10
11
00
10
00
00
00
10
01
00
11
11
10
10
00
11
00
00
10
10
00
00
11
10
10
10
00
01
00
01
10
10
00
10
10
10
00
00
00
00
10
10
10
10
00
10
00
10
10
00
10
10
00
10
00
11
01
11
01
00
00
10
00
00
00
11
10
10
10
10
00
01
10
00
01
10
01
10
10
01
00
00
10
10
10
00
01
00
10
11
00
00
11
10
10
11
00
10
10
11
10
10
00
00
10
10
11
10
10
00
10
10
01
10
01
10
00
10
01
10
10
10
00
00
10
10
00
01
00
11
00
00
10
00
10
10
10
01
00
10
00
00
10
00
11
11
01
00
10
10
10
01
01
00
10
11
11
10
01
00
01
10
01
10
10
01
01
11
10
01
11
11
00
10
10
00
01
10
11
01
01
10
00
01
10
00
01
01
11
10
01
10
11
01
00
00
10
01
00
11
10
01
00
11
10
01
10
10
10
00
00
10
10
00
01
10
11
11
10
00
00
00
00
11
10
10
10
00
10
10
10
00
10
01
11
00
00
11
10
00
01
11
10
00
10
10
00
00
00
00
11
11
00
10
11
01
00
00
00
01
00
00
10
10
00
00
00
01
01
11
00
10
10
10
10
10
01
00
10
10
01
00
10
11
00
00
00
00
11
00
10
10
00
10
00
11
10
01
00
11
00
10
00
10
01
01
10
11
11
01
10
10
01
10
01
00
10
01
00
00
10
00
01
10
10
10
10
01
11
10
10
11
01
00
10
11
01
00
10
11
10
10
00
00
00
00
01
00
11
10
10
10
11
00
10
11
10
11
10
00
00
01
01
10
00
11
00
00
10
01
00
00
10
11
10
11
11
00
11
00
10
10
10
11
00
00
10
00
10
10
10
00
01
11
00
00
10
01
10
00
01
10
10
01
10
01
01
00
10
10
10
01
01
11
00
10
00
00
00
10
11
00
00
10
00
01
00
00
11
00
01
11
10
11
10
10
01
10
10
00
00
10
10
00
01
00
00
11
11
10
11
11
00
10
00
00
00
10
10
00
10
10
11
10
11
10
10
10
10
00
11
10
01
00
11
01
10
01
01
00
11
00
00
10
01
01
10
11
01
10
10
00
00
00
01
11
10
00
01
10
11
10
10
10
11
10
00
11
00
01
00
11
11
00
00
00
10
01
00
11
01
10
10
00
11
00
01
11
00
00
11
10
00
10
10
00
01
01
10
11
00
10
00
00
10
00
01
10
10
01
10
11
10
00
00
10
10
00
01
10
01
00
00
10
11
00
00
01
10
00
00
01
11
01
10
10
01
00
10
10
00
01
00
11
10
11
10
01
00
01
10
00
11
11
11
10
01
00
10
10
10
00
00
00
11
00
00
01
00
01
11
01
10
11
00
10
10
00
00
10
10
01
00
10
10
00
10
10
00
00
01
00
10
11
00
11
01
00
10
10
10
00
10
11
10
10
10
00
10
01
10
10
10
00
00
00
01
00
01
00
00
11
11
00
10
01
00
11
10
01
10
10
00
10
10
10
10
00
00
11
00
00
10
10
01
10
10
00
10
01
00
00
01
10
10
10
10
11
11
10
11
00
01
00
11
00
01
01
11
10
01
01
10
00
01
10
01
10
10
10
01
01
11
01
00
10
01
00
00
00
10
11
10
00
00
00
00
00
01
10
10
11
11
10
00
11
11
00
00
00
00
11
10
00
10
10
01
01
01
11
10
01
00
00
00
10
10
01
01
11
10
10
00
00
00
10
10
00
00
10
00
01
00
00
11
00
10
01
11
10
01
10
10
00
00
10
11
10
10
10
00
11
10
00
01
10
01
00
10
10
00
00
11
10
01
11
10
00
01
00
00
01
10
10
00
00
10
00
10
00
00
01
00
01
11
11
00
01
11
10
00
01
10
11
00
01
01
00
11
00
00
10
01
01
10
01
10
00
11
00
00
01
10
01
10
00
11
10
01
10
01
10
10
10
00
00
00
01
11
00
11
01
10
11
10
10
01
00
00
10
10
00
10
10
10
00
00
10
00
11
01
00
10
10
00
01
10
10
10
11
00
11
00
01
11
10
00
00
01
11
10
00
00
00
10
11
10
10
01
01
10
01
00
11
10
10
00
10
11
00
00
10
11
00
11
00
10
11
00
10
10
10
01
01
00
00
11
11
11
00
11
00
11
10
00
10
10
00
00
10
10
10
10
01
00
11
11
10
11
10
01
00
11
11
00
10
01
00
10
00
11
00
00
10
00
11
10
00
11
01
11
11
01
10
11
01
10
10
00
01
11
00
00
10
10
10
00
01
11
11
00
00
10
10
01
11
10
00
00
01
00
00
00
11
01
11
10
00
00
10
10
00
11
10
00
01
00
01
00
11
10
11
01
10
00
00
00
01
01
00
11
10
10
00
01
00
00
00
11
10
10
00
01
10
01
00
11
01
01
00
10
10
00
01
11
11
00
00
00
10
10
11
11
00
11
10
10
10
01
10
10
00
01
11
11
00
00
10
10
00
00
00
10
00
00
10
01
10
10
00
11
01
10
00
01
00
00
10
00
00
10
11
10
10
00
00
10
10
00
10
10
01
00
10
00
00
01
10
10
10
11
00
11
01
00
00
00
10
00
10
10
00
01
10
01
00
11
00
11
11
10
01
00
00
10
10
00
01
10
10
00
00
00
10
10
00
00
10
00
00
11
00
10
10
00
01
00
10
00
01
11
11
00
11
10
00
00
11
10
11
00
00
00
10
00
11
10
01
00
10
10
00
10
00
01
11
11
00
11
11
00
01
10
10
00
00
00
00
01
10
10
10
10
00
10
10
00
11
01
10
10
00
10
10
00
01
10
00
10
00
00
11
00
00
10
11
10
00
10
10
00
01
00
00
00
10
10
00
11
00
00
00
00
10
11
01
01
11
11
00
11
10
10
01
00
10
10
00
01
00
00
10
01
00
00
00
11
10
01
00
11
10
01
00
10
01
00
11
10
00
00
10
01
00
00
11
00
11
11
00
01
00
10
11
11
11
01
11
00
00
11
01
10
10
00
01
10
00
11
10
00
00
11
10
11
11
10
00
11
00
00
01
10
00
11
00
10
11
10
11
01
11
01
00
00
00
10
11
00
00
00
00
11
00
11
10
10
00
00
10
10
10
00
00
11
10
10
00
00
10
10
11
10
00
00
11
01
01
01
00
01
00
10
11
00
01
10
11
00
11
11
01
11
10
10
00
01
10
00
01
10
10
00
00
10
00
10
00
11
10
00
00
10
01
10
10
11
00
00
10
00
00
11
01
00
00
10
01
01
00
00
00
11
10
11
00
00
00
00
10
10
00
11
00
10
01
01
10
10
11
01
00
10
10
11
10
10
00
11
10
00
00
10
10
00
10
00
00
10
10
00
00
10
00
00
01
10
00
11
10
10
00
10
00
00
10
00
00
00
01
10
10
10
10
00
11
11
11
01
01
00
00
11
01
00
10
10
00
11
10
00
01
00
10
01
11
10
01
01
10
00
00
10
11
10
00
10
01
10
11
00
00
00
11
10
00
01
11
11
00
01
10
10
10
00
00
10
10
11
00
01
01
01
10
10
00
00
10
10
01
01
10
01
00
10
10
00
11
11
01
00
01
10
00
10
10
00
01
10
10
01
10
11
00
10
00
00
10
11
00
00
01
11
00
10
11
00
10
10
10
01
00
10
00
10
10
01
00
10
00
00
11
00
00
00
10
10
10
10
11
10
00
00
00
10
01
10
01
00
10
01
00
10
11
10
00
00
01
11
10
11
10
11
00
01
11
00
10
00
00
00
10
10
10
11
10
10
10
00
00
10
10
00
00
10
10
00
00
10
01
11
11
11
00
00
01
11
00
01
01
11
11
10
01
00
00
10
00
01
11
11
01
00
10
10
11
11
11
00
00
00
01
11
01
10
00
10
10
11
00
10
10
00
01
10
11
01
10
10
11
10
00
10
10
00
11
01
00
01
00
11
00
00
11
00
00
11
10
00
10
10
11
10
00
01
01
10
01
00
10
00
01
10
01
00
10
10
10
11
00
01
10
11
01
01
01
11
11
00
10
10
00
11
10
11
00
00
10
10
00
01
00
11
10
10
10
10
00
11
10
01
00
00
10
11
10
01
00
10
00
01
00
10
11
10
00
10
00
00
01
01
01
11
10
01
00
11
10
11
01
00
10
10
01
00
10
10
10
10
00
00
11
11
01
00
00
01
11
10
10
01
01
01
10
10
10
00
01
00
10
00
00
10
11
00
01
00
00
01
10
10
00
10
11
10
00
00
10
10
00
00
10
01
00
11
10
11
00
11
10
10
10
00
01
00
01
10
00
10
10
01
01
01
00
00
01
00
10
10
11
00
00
10
10
01
11
00
00
10
10
00
11
10
10
00
00
00
00
01
10
01
01
10
10
00
00
00
10
11
00
00
11
11
11
11
01
00
10
00
00
10
11
00
00
00
10
00
00
11
10
11
00
10
00
00
11
10
11
01
00
10
01
00
10
00
11
01
00
10
11
10
00
01
00
11
11
00
00
01
10
10
10
10
11
01
01
01
01
00
10
10
11
00
10
11
01
00
00
11
00
00
10
10
01
10
01
00
11
00
00
00
11
00
00
11
10
10
01
10
00
00
10
10
01
00
10
11
00
10
10
11
00
10
10
11
00
10
10
01
00
00
00
10
00
00
00
10
10
10
00
00
01
01
01
00
11
00
10
01
00
10
10
00
00
10
11
10
10
01
10
00
00
01
10
11
10
00
01
10
01
10
11
00
00
10
00
10
11
10
00
00
00
11
00
00
10
11
00
10
11
00
10
10
10
00
10
11
10
01
00
11
01
10
00
00
01
11
11
01
00
00
10
00
01
10
11
00
00
11
01
00
10
10
00
00
10
00
10
01
01
00
00
10
10
10
01
00
10
00
00
10
10
01
01
01
11
10
00
00
01
10
00
00
11
10
01
10
00
10
11
00
10
01
00
00
01
10
11
10
10
10
10
10
00
00
10
01
00
10
01
10
11
01
10
11
00
00
00
10
11
11
00
00
00
10
10
00
00
01
10
01
01
11
10
01
10
10
00
00
01
10
00
00
00
00
00
00
10
01
00
01
10
10
00
10
10
10
00
01
10
10
00
10
00
11
10
00
10
00
01
10
11
10
11
00
00
00
11
10
01
11
10
01
00
11
00
11
10
00
11
10
10
00
00
10
01
01
11
00
10
10
10
10
00
10
00
10
00
10
10
10
00
10
10
10
10
00
10
01
00
10
00
00
10
10
00
10
10
01
10
10
11
00
10
00
10
10
10
10
00
00
00
01
10
10
10
01
00
10
00
01
11
10
01
00
00
11
10
00
11
11
01
10
11
11
00
00
10
00
00
10
01
00
10
10
00
11
00
10
10
10
10
10
10
01
00
10
10
11
10
01
10
00
11
11
01
10
00
00
10
01
00
11
01
01
00
00
10
01
10
10
10
10
00
10
11
01
10
00
10
01
01
00
01
00
11
10
11
10
00
10
10
10
00
10
10
01
00
00
10
10
01
01
10
01
00
10
10
00
10
01
00
10
01
10
00
11
10
00
01
11
00
10
10
10
10
00
00
10
10
00
01
11
10
10
00
00
00
01
00
01
10
01
00
10
01
00
10
00
11
11
10
00
10
00
00
00
01
11
10
01
00
10
10
00
00
11
10
00
10
10
11
11
01
00
10
10
10
11
10
01
01
00
10
01
00
10
10
10
01
01
11
00
11
01
10
10
01
11
10
00
01
10
01
10
11
00
00
01
10
00
10
10
01
00
10
11
01
11
00
10
00
00
01
10
11
00
01
11
10
10
11
10
01
01
11
10
00
01
10
00
00
00
10
11
11
11
01
10
10
00
00
11
10
11
00
01
01
10
10
00
01
10
00
00
10
10
00
00
10
10
00
10
00
00
11
10
01
10
11
10
00
00
00
01
10
10
00
00
10
10
01
10
00
00
10
00
01
01
11
01
10
01
00
11
11
10
00
11
10
01
01
01
11
11
01
00
00
10
00
00
00
11
10
10
00
11
01
10
00
11
01
00
10
00
01
00
00
00
10
10
11
00
10
10
11
10
01
01
11
00
10
00
00
00
01
11
10
11
01
11
01
10
11
00
10
00
00
10
01
10
00
10
01
01
00
11
00
00
10
10
11
10
10
00
00
01
01
10
10
01
10
10
10
00
00
00
01
01
01
01
00
10
00
01
10
01
01
10
00
00
11
11
10
10
10
01
11
10
00
01
00
10
01
00
11
10
11
00
11
00
11
00
10
10
00
00
01
11
10
10
00
00
00
10
01
00
00
00
10
10
00
11
10
10
00
10
10
01
11
00
10
01
00
10
01
11
11
01
10
01
01
11
00
11
10
00
10
00
10
00
01
11
01
10
00
10
11
11
11
01
00
00
10
01
10
00
00
10
11
01
00
00
11
10
10
11
00
10
00
11
10
10
00
01
00
00
00
10
11
10
00
01
00
10
11
11
10
00
01
11
01
01
00
01
00
01
11
01
00
10
00
10
11
00
01
10
11
00
11
10
00
00
10
00
00
10
10
11
10
00
01
10
00
11
10
00
00
00
10
00
11
10
11
10
10
00
11
11
00
01
10
10
01
00
00
11
10
00
00
10
00
11
10
10
10
00
00
11
11
10
11
00
01
10
11
01
11
10
00
00
11
01
00
10
00
10
10
10
10
00
00
01
11
01
00
10
00
11
00
00
10
11
10
11
10
10
00
00
11
10
01
00
01
10
10
00
00
01
11
10
00
10
11
11
11
10
10
01
00
11
11
01
00
01
00
11
10
00
01
10
01
00
01
10
11
00
00
00
11
00
10
11
00
01
10
10
01
00
00
10
10
00
00
10
11
00
11
01
10
11
11
10
10
00
00
11
10
01
01
00
10
00
10
11
00
00
00
00
10
00
11
10
10
11
10
00
00
01
10
10
10
01
10
10
10
01
10
11
00
00
00
10
00
10
00
10
10
11
00
00
11
00
00
00
10
11
11
01
11
10
00
01
11
00
10
10
01
00
00
00
00
00
00
10
11
11
10
11
00
10
11
01
00
11
10
00
10
00
10
10
10
00
00
10
00
01
01
10
00
01
00
01
00
01
10
10
01
01
00
10
10
01
01
10
11
00
01
00
00
10
10
11
00
01
10
00
10
00
00
11
11
00
01
10
10
11
10
10
10
11
01
10
10
00
01
10
11
00
00
00
10
00
10
00
00
00
00
00
00
10
11
00
00
10
01
11
11
11
01
11
00
01
00
10
10
00
00
00
11
11
10
00
10
00
01
00
00
10
10
00
11
10
10
10
00
11
00
11
11
10
00
11
11
11
10
10
00
00
10
00
10
10
00
10
00
01
00
00
11
10
11
00
00
10
00
00
10
00
01
10
11
10
10
11
00
00
11
10
00
10
01
11
01
00
10
10
11
10
00
00
10
00
10
11
01
10
00
01
01
00
01
10
11
11
11
11
01
10
10
11
10
00
00
11
00
00
00
10
01
11
00
00
10
00
10
10
00
01
01
11
10
11
00
10
10
00
10
00
01
00
00
00
11
01
00
11
11
11
10
00
01
11
10
01
01
10
01
00
00
10
10
01
11
10
00
00
00
00
00
11
11
10
10
11
00
01
01
00
01
01
10
00
10
01
10
11
01
11
11
00
01
10
11
00
10
10
10
00
00
10
10
10
10
00
01
00
10
10
10
10
00
10
00
00
10
00
00
10
10
00
01
10
01
10
00
10
00
11
11
11
10
00
01
00
00
10
00
10
11
00
00
10
11
00
01
10
10
10
00
00
10
10
00
01
10
00
01
10
10
10
01
00
00
01
10
10
00
11
00
10
00
10
10
11
11
01
00
11
00
01
00
00
10
00
01
11
01
01
11
10
01
01
00
10
10
10
00
00
10
00
01
00
10
00
11
11
10
11
11
10
00
00
01
11
00
11
00
10
11
10
01
01
01
00
10
01
10
11
00
10
11
00
00
10
00
10
11
00
00
01
11
10
10
11
00
11
00
00
10
10
10
10
10
10
01
01
01
00
10
01
01
00
10
10
00
11
10
00
01
10
11
11
00
00
11
10
00
11
11
10
00
10
10
01
01
10
00
00
10
00
00
00
10
01
10
10
00
10
11
10
00
11
10
00
11
00
00
01
10
00
01
10
01
11
01
11
10
00
01
11
10
11
01
01
00
10
11
00
10
10
00
00
00
11
10
00
00
10
00
10
10
10
11
10
00
00
00
00
10
00
10
11
10
01
00
00
01
01
10
10
00
01
11
00
01
10
00
00
11
00
01
10
10
10
01
11
11
00
00
00
10
00
00
11
10
11
10
11
00
00
00
00
11
10
11
10
10
01
00
11
10
01
00
01
00
01
00
10
00
00
00
10
00
11
00
01
10
11
10
10
01
01
10
01
10
10
10
11
00
11
00
00
00
11
10
10
01
00
00
11
10
00
11
00
00
10
00
00
01
10
11
11
00
00
11
01
01
11
10
01
11
11
11
11
00
10
10
00
00
10
10
00
00
10
01
00
01
10
10
10
00
10
11
01
11
11
10
00
10
11
01
00
10
00
11
01
01
11
01
00
11
10
00
00
10
10
00
00
11
01
00
01
11
10
00
11
10
10
00
01
01
01
10
00
10
10
01
01
00
10
10
10
00
10
11
01
10
10
00
00
10
10
00
10
11
00
00
10
01
00
01
10
11
01
11
11
00
10
00
01
10
00
00
10
10
00
10
10
00
11
11
01
10
10
10
01
11
11
10
00
00
00
10
01
00
10
00
00
00
00
10
10
10
00
00
11
00
00
10
11
10
00
00
01
10
10
11
10
01
00
11
01
01
11
11
00
00
10
10
00
10
11
11
10
00
00
01
11
10
10
01
00
11
00
10
11
11
00
10
00
00
10
00
00
00
10
11
01
00
10
10
10
10
10
00
01
10
00
10
10
11
00
00
10
00
10
00
00
00
00
11
11
00
00
10
00
00
10
00
00
00
11
10
01
10
01
11
10
01
00
10
10
01
00
11
10
11
10
10
10
10
01
00
00
00
10
01
01
00
10
00
01
00
10
11
00
10
10
00
10
01
00
11
10
00
00
01
10
00
00
01
10
10
00
00
11
00
10
10
10
00
00
10
10
01
01
11
10
10
10
00
00
01
11
10
00
10
10
00
00
11
11
10
00
11
00
11
01
01
10
10
10
00
10
00
01
10
10
10
00
10
00
00
00
00
00
00
00
00
00
01
00
01
00
01
00
00
00
11
10
10
11
00
00
00
00
11
00
10
00
00
11
10
01
01
11
01
10
10
10
10
10
10
00
00
11
10
01
00
11
10
10
10
11
00
00
00
10
10
00
00
10
11
01
00
10
10
00
00
01
00
11
10
01
10
00
10
11
00
11
10
10
11
00
01
11
00
00
00
10
00
10
11
11
10
10
00
11
10
11
10
11
11
11
00
01
00
01
10
11
00
00
11
11
10
10
10
00
10
00
00
10
00
01
10
10
00
00
00
11
11
10
10
10
00
01
00
00
11
00
01
00
00
10
00
00
10
01
01
00
00
10
11
10
10
00
00
10
10
00
10
11
00
00
00
00
10
00
00
11
00
00
00
11
00
11
10
00
11
10
10
00
10
01
00
10
00
00
10
01
11
00
10
10
11
10
11
01
00
10
01
00
11
10
10
00
00
00
10
00
00
10
00
01
10
00
01
00
11
00
00
10
10
01
00
10
00
00
10
01
01
00
10
00
11
00
10
10
00
01
10
00
00
10
10
00
10
01
10
00
11
01
11
11
01
00
00
00
10
00
00
10
10
10
00
10
01
01
10
10
10
10
10
11
11
01
01
10
01
11
10
00
00
01
11
11
11
01
00
11
11
01
11
10
00
10
11
00
01
10
00
11
00
00
10
01
11
11
00
10
00
10
10
01
10
10
10
01
11
10
00
01
00
00
00
11
11
00
10
11
10
00
10
00
10
11
00
11
10
00
00
10
01
10
10
00
10
10
00
11
01
00
11
11
00
10
01
00
10
10
00
10
10
01
10
01
00
01
10
00
10
11
10
10
10
01
00
10
10
00
10
11
00
10
10
00
00
10
10
10
01
00
10
01
00
11
10
10
00
10
00
10
10
00
00
10
10
10
00
11
01
01
10
01
11
11
00
10
01
01
01
01
00
10
00
10
10
00
01
01
00
10
00
00
10
10
10
11
10
01
10
00
00
01
00
11
11
01
00
00
00
00
00
11
01
11
10
01
01
00
00
11
11
00
11
10
11
10
11
01
00
10
10
10
01
01
10
00
00
00
11
01
10
11
00
00
01
10
00
00
11
10
00
10
11
00
00
00
10
10
10
10
00
00
11
10
10
00
00
00
00
00
10
00
11
11
10
10
00
01
01
01
11
10
11
11
00
00
00
10
10
10
00
01
01
01
00
11
00
10
10
00
10
10
01
10
10
00
10
00
10
10
01
00
10
00
01
10
10
00
11
01
11
11
00
11
10
10
00
01
11
00
01
10
00
01
11
00
11
11
00
10
10
00
00
10
10
01
00
10
11
00
11
10
01
01
11
01
11
11
10
10
00
01
10
11
11
11
00
00
10
01
11
11
10
00
00
10
01
00
10
10
00
00
01
00
10
10
00
01
01
11
10
11
01
11
00
00
01
11
10
10
00
00
11
10
10
01
01
00
10
10
10
01
00
00
01
00
10
00
00
10
10
10
11
01
00
10
00
10
00
01
00
10
11
10
00
11
10
10
10
11
10
00
11
00
11
01
10
11
01
01
11
10
01
10
10
00
01
01
11
00
00
10
11
10
01
11
10
10
01
10
00
00
10
11
11
10
11
00
01
10
10
10
01
00
00
00
01
10
00
00
01
00
01
01
10
11
00
00
01
10
10
00
00
10
10
10
00
00
10
10
11
10
00
00
10
10
00
01
10
10
00
10
10
11
11
11
00
10
10
00
10
01
01
11
00
01
01
00
01
00
10
10
00
00
11
10
00
10
10
01
00
11
00
10
01
10
00
10
10
00
00
10
11
10
11
01
10
00
10
00
00
01
10
00
10
01
00
01
10
11
01
10
11
00
00
11
00
01
10
11
00
01
10
10
10
10
00
01
10
10
00
10
11
01
11
11
10
11
10
00
01
10
00
00
10
11
01
11
10
00
01
00
01
00
10
10
10
00
01
00
10
10
01
10
01
00
11
10
00
00
00
00
10
01
00
11
00
10
11
10
11
00
00
10
10
01
10
10
00
10
00
10
11
10
00
10
11
01
11
10
01
00
10
00
00
11
01
00
11
10
00
10
01
10
10
10
01
00
10
10
00
00
00
11
10
11
00
11
00
00
10
10
10
01
01
10
10
00
01
01
00
10
00
00
00
11
10
00
11
10
10
10
00
00
00
01
10
01
11
01
01
00
11
01
10
10
01
10
00
10
00
11
10
11
00
00
11
10
00
00
00
10
00
10
01
00
10
01
10
00
10
01
10
01
10
00
10
01
00
01
10
10
11
01
01
00
11
10
10
11
10
10
00
01
00
00
11
01
10
01
10
00
10
10
00
00
00
10
00
00
10
11
10
00
10
10
01
10
10
11
00
01
00
01
01
00
11
11
01
10
10
00
00
10
11
10
01
10
11
00
10
10
11
11
00
01
00
10
00
00
11
00
01
10
10
10
10
10
00
10
01
00
00
10
01
00
10
10
00
00
00
10
11
10
01
01
10
10
01
00
11
10
00
01
11
11
01
10
10
01
10
10
00
11
11
00
00
01
00
00
11
00
10
10
11
10
01
00
10
10
01
10
00
10
11
10
01
00
00
10
10
10
00
10
10
10
00
01
10
00
00
10
00
01
01
11
11
10
00
00
01
10
01
00
10
01
11
01
11
00
00
00
10
10
01
10
10
10
10
00
01
00
10
10
10
10
10
10
00
01
10
10
10
11
01
00
10
10
01
00
00
00
00
10
00
11
01
11
10
11
10
10
10
00
01
00
00
10
01
10
01
10
11
01
00
11
11
10
00
10
10
00
00
10
00
01
00
10
10
10
00
01
10
10
10
00
00
10
00
00
11
00
11
00
01
11
10
00
00
00
11
11
00
11
01
00
00
10
01
01
10
10
11
00
10
00
11
10
01
00
10
10
00
01
10
01
10
11
01
10
00
10
11
01
10
10
00
00
01
01
11
01
10
11
11
10
00
01
11
01
01
00
00
11
00
10
11
11
00
00
00
01
00
00
11
10
01
00
00
11
10
10
00
10
01
00
11
00
00
11
00
01
00
11
11
10
11
10
10
00
10
10
00
00
10
10
01
10
10
11
01
00
10
00
00
00
10
11
11
00
01
10
11
00
01
00
10
10
10
10
00
00
10
10
01
00
01
10
11
10
00
01
10
10
00
00
11
10
00
11
01
11
00
00
10
10
01
00
11
10
00
10
10
10
01
00
10
00
10
10
00
00
00
00
10
10
00
11
00
01
01
10
11
00
10
10
10
00
00
10
00
00
01
11
10
01
10
10
11
01
00
11
10
01
01
11
00
10
11
00
00
11
00
00
00
11
11
10
10
00
01
11
00
10
10
00
01
01
11
00
10
00
11
00
11
11
00
00
10
00
00
00
11
10
00
00
00
10
10
00
00
00
00
00
01
00
01
00
00
10
00
00
00
10
11
10
00
10
11
11
00
11
10
11
10
00
01
00
11
11
10
11
01
00
11
10
00
01
01
10
01
10
10
11
10
10
10
11
00
01
00
00
11
10
00
01
10
11
00
00
10
00
01
10
01
00
00
00
10
11
01
01
10
00
00
10
01
00
00
10
00
10
00
10
10
00
01
01
10
10
10
00
01
00
10
10
01
10
01
00
10
00
00
11
00
11
10
00
00
11
00
10
10
10
00
10
11
00
01
01
00
10
10
00
00
10
11
11
10
00
11
00
10
01
11
01
01
10
00
00
11
10
00
00
11
10
11
00
10
00
10
10
00
11
10
01
00
00
10
00
00
10
01
00
11
00
10
00
01
01
11
01
00
10
00
01
10
10
00
00
00
10
10
00
00
01
00
11
11
00
10
10
10
10
01
00
00
00
11
10
00
00
10
10
00
10
11
00
10
11
00
01
01
10
00
01
10
00
10
11
11
00
11
10
01
00
00
10
10
10
00
10
01
00
11
11
11
10
00
00
00
00
10
01
00
10
00
00
01
00
10
10
01
00
10
00
11
10
00
10
01
10
11
10
00
00
00
00
10
01
10
00
11
11
00
00
01
11
11
00
01
10
11
10
00
01
10
10
11
10
10
00
11
00
00
11
11
00
00
10
00
10
00
10
10
01
10
01
00
00
10
10
11
10
10
00
01
10
10
10
01
10
10
00
01
10
10
10
01
10
10
00
11
00
01
11
00
00
10
00
11
00
00
11
10
00
10
01
00
11
00
11
11
10
10
10
10
00
00
11
01
00
11
10
10
11
11
01
01
01
11
11
11
10
00
10
11
00
11
00
00
10
10
00
00
11
00
11
11
10
10
01
10
11
10
01
10
00
10
11
11
10
11
00
00
01
00
10
10
00
01
01
00
11
10
10
01
00
00
00
00
10
00
11
10
00
10
11
00
01
10
01
00
11
01
10
10
11
00
01
01
10
11
01
10
10
11
00
00
10
00
10
11
00
11
01
00
00
00
10
00
00
11
11
01
10
10
01
10
01
10
00
01
10
10
10
01
10
10
10
00
10
01
00
11
01
10
10
00
00
10
00
00
10
10
10
00
00
00
00
10
00
00
00
00
10
10
00
00
10
01
10
01
00
10
00
10
10
10
10
00
10
01
01
00
10
10
00
00
00
10
10
10
10
10
01
01
10
00
10
10
00
01
00
10
11
10
11
11
00
00
00
00
10
00
00
01
00
01
01
00
00
10
10
00
11
10
00
00
00
11
00
10
00
10
00
10
10
01
01
00
10
00
11
10
11
11
00
00
10
01
10
01
00
10
11
00
00
11
10
11
00
00
00
01
00
10
00
00
00
10
01
10
10
00
10
11
00
00
01
11
10
01
10
00
11
10
00
01
00
01
00
11
00
00
00
11
11
00
10
10
11
10
01
10
10
11
10
10
00
00
10
10
10
00
11
10
01
00
00
10
01
01
00
00
10
11
00
01
01
01
10
10
01
10
10
00
11
10
00
00
00
10
01
00
10
00
01
00
00
10
10
00
00
00
10
11
10
11
00
10
10
01
10
01
10
10
10
01
10
00
11
10
01
00
00
10
10
00
10
00
00
01
00
10
10
00
10
00
00
10
11
11
00
00
01
10
11
01
01
11
10
10
00
11
10
11
00
00
00
00
11
11
01
01
01
10
10
10
00
10
10
00
10
00
01
01
00
00
10
11
00
01
10
01
00
10
00
10
10
01
11
10
11
00
11
00
01
00
10
01
00
11
00
00
10
10
10
10
01
00
01
00
11
00
11
11
10
00
00
10
00
00
11
11
00
10
10
11
11
10
01
11
11
00
10
01
00
10
10
01
00
00
10
00
01
00
00
10
10
01
10
00
01
10
11
11
10
00
10
11
00
00
10
10
01
01
10
11
00
00
11
00
00
00
10
10
01
00
10
00
00
00
11
01
11
11
01
00
00
00
00
00
10
10
00
10
11
01
00
00
11
10
00
00
10
10
00
01
10
11
00
00
00
01
01
10
00
00
10
01
00
10
10
11
00
01
00
10
00
01
10
00
10
01
00
01
10
00
10
00
10
10
00
11
10
11
00
00
10
10
00
01
01
10
10
01
11
01
10
01
00
00
10
11
00
11
01
01
11
10
10
01
10
11
10
00
00
00
10
10
10
01
00
11
00
10
10
11
00
10
10
00
00
00
00
10
10
01
10
00
01
01
00
01
10
10
10
00
10
00
11
00
00
11
10
01
00
10
00
01
01
10
11
00
01
00
00
00
11
10
01
11
11
11
10
01
00
10
01
10
10
00
00
11
11
01
10
11
00
11
10
00
00
00
11
00
10
10
10
00
00
10
01
00
10
00
01
11
01
00
11
00
10
00
11
11
00
10
10
11
10
10
00
10
10
10
00
00
00
01
10
01
00
00
01
00
10
10
00
10
00
11
00
00
10
11
11
00
10
00
00
01
11
00
10
00
11
10
01
00
00
10
11
00
01
00
00
10
10
10
11
10
01
10
00
10
00
01
00
10
11
10
01
00
01
10
10
11
01
10
10
10
11
00
10
10
10
00
00
10
00
00
10
11
00
01
10
10
00
00
10
11
01
00
00
11
10
01
00
00
11
10
11
10
11
00
00
00
10
00
10
01
01
01
10
00
01
10
01
00
10
10
01
10
10
11
00
11
01
10
00
11
10
01
01
10
10
00
11
11
01
00
00
11
10
01
11
11
10
11
00
00
11
11
10
10
11
00
00
01
01
11
01
00
10
10
00
00
10
11
00
10
00
00
11
10
10
00
00
11
01
01
00
01
10
10
10
00
00
10
01
00
00
10
00
01
00
10
00
11
01
10
10
01
00
00
00
10
10
00
11
11
00
11
10
00
11
10
00
00
11
01
10
11
11
00
00
10
00
10
11
00
00
00
11
10
00
00
11
10
11
00
00
10
10
01
01
10
10
01
01
01
10
00
10
10
10
00
10
10
00
11
01
00
11
10
00
11
10
10
10
10
00
10
01
00
01
00
10
10
00
00
00
00
10
10
10
11
00
01
11
10
00
00
11
10
00
10
00
10
11
11
01
11
10
10
00
10
10
00
00
10
01
00
01
11
00
01
11
01
10
10
00
10
00
00
00
10
00
01
10
00
10
01
11
10
10
00
00
10
00
00
01
10
10
10
00
00
10
10
10
11
00
10
11
00
01
11
11
10
10
00
00
00
10
11
01
11
10
10
10
00
10
10
11
10
01
00
00
01
10
01
00
11
10
00
00
00
10
10
11
01
00
10
11
00
10
00
01
01
11
01
10
10
11
00
00
10
10
10
00
10
10
00
10
11
11
00
10
10
10
10
11
01
00
11
01
11
11
00
00
10
10
00
00
10
01
11
00
00
10
01
11
01
01
10
00
01
00
10
00
01
11
01
11
01
00
10
10
11
11
00
00
00
10
10
01
11
01
01
11
00
01
10
00
10
00
00
10
10
11
11
00
01
00
00
10
00
00
10
10
00
10
00
11
00
00
10
00
00
00
10
10
10
11
00
11
10
10
01
00
10
00
00
11
10
10
00
10
10
00
00
10
11
00
00
10
11
00
00
10
10
11
00
10
10
00
00
10
00
00
10
10
11
00
01
11
10
00
00
00
01
00
11
10
00
01
10
00
01
11
00
10
11
00
00
01
11
10
01
00
10
11
10
01
00
01
00
00
00
10
11
01
11
11
10
00
00
10
00
11
10
01
10
10
01
00
10
00
10
10
00
01
10
10
00
11
11
00
11
11
10
00
11
00
00
00
01
11
01
00
11
00
01
01
01
00
10
10
01
11
10
11
01
01
00
00
11
11
00
01
00
00
00
10
10
00
01
11
10
00
00
00
00
00
01
10
10
10
01
10
00
01
10
10
00
00
10
10
10
00
00
10
00
11
00
11
10
11
11
10
01
00
10
10
01
11
10
00
01
01
00
10
10
00
01
11
11
11
01
00
10
10
00
00
10
10
10
01
01
00
00
11
11
10
10
00
11
01
01
01
00
10
10
00
00
00
10
01
10
10
01
10
10
10
01
10
00
01
11
10
00
00
11
01
00
11
10
10
00
10
01
00
10
10
11
11
01
00
01
00
10
00
01
10
11
10
01
00
10
11
11
10
00
00
10
10
00
01
10
00
00
01
11
11
10
11
10
00
00
00
00
00
11
11
11
00
11
11
00
11
00
00
00
01
10
10
11
01
00
11
00
00
10
10
00
10
10
00
00
10
01
10
10
11
01
01
10
01
00
00
00
10
10
00
10
00
01
01
10
00
00
01
10
01
00
10
10
00
00
01
11
10
11
00
01
00
10
10
01
10
10
00
00
00
01
00
10
10
10
10
11
11
11
01
10
01
11
01
00
11
01
00
00
00
11
11
00
00
00
10
01
10
10
00
10
10
10
00
01
01
00
10
00
10
11
10
10
00
11
11
01
00
00
10
00
00
10
11
00
10
10
11
10
01
01
10
00
00
00
00
00
10
11
10
10
11
10
00
00
11
00
00
00
10
00
00
01
10
10
10
00
11
00
01
10
11
10
00
00
10
10
00
10
10
10
01
10
01
01
10
01
01
11
10
11
00
11
01
10
01
11
10
01
00
11
00
11
10
00
00
10
11
01
01
11
11
00
01
00
00
10
11
00
00
00
11
00
10
10
10
10
10
00
10
00
10
00
10
10
00
00
11
10
00
00
01
00
01
11
10
00
10
10
01
10
10
01
00
10
00
11
10
00
00
11
00
01
01
01
00
10
00
11
00
10
01
01
10
10
00
10
10
01
01
01
11
00
00
10
10
11
10
00
11
00
10
11
00
01
00
11
10
01
00
00
00
11
10
01
10
10
00
10
10
01
10
00
00
10
00
00
01
00
00
10
00
10
10
01
00
10
00
10
00
10
10
00
10
00
11
10
00
10
11
10
01
11
01
01
10
00
00
11
10
00
00
10
11
00
10
10
10
10
10
00
00
10
00
00
01
00
01
00
00
01
11
10
00
10
11
00
10
11
10
10
00
00
00
10
11
00
01
11
11
10
11
00
01
11
11
00
00
11
10
10
10
00
00
10
10
10
00
01
11
00
10
11
11
11
00
00
10
11
10
01
10
00
11
10
00
10
10
00
10
00
01
00
00
00
00
01
11
10
00
11
00
10
01
11
10
01
00
10
01
01
01
01
11
10
10
00
10
11
11
00
00
10
10
11
10
01
00
01
11
10
11
10
01
00
11
01
00
00
10
10
01
01
10
11
10
00
10
00
01
10
10
00
10
01
00
01
10
00
00
10
10
10
11
01
10
10
10
10
10
00
11
01
10
10
00
00
11
01
01
11
00
00
10
10
10
00
10
00
10
01
00
10
11
10
00
10
00
01
11
10
00
00
11
11
00
11
10
00
01
10
11
10
11
00
00
11
00
10
11
00
00
01
01
10
11
00
11
00
00
00
00
00
11
01
00
01
11
01
10
10
01
10
11
00
01
11
11
01
00
10
11
10
00
11
01
00
11
11
00
10
00
10
10
00
00
10
11
10
10
10
10
11
00
10
00
00
11
01
10
10
10
00
00
10
00
00
10
10
00
11
00
00
00
11
00
00
00
10
10
11
10
00
00
00
00
10
01
10
01
10
11
01
10
01
10
10
01
01
01
00
00
10
10
10
10
00
00
00
00
10
00
10
10
10
10
00
00
11
11
10
00
00
10
00
00
00
10
01
00
11
10
00
10
00
10
10
10
01
10
10
00
00
10
10
10
00
00
00
00
11
10
01
00
10
10
10
00
10
00
10
10
01
10
01
00
01
10
01
00
01
00
10
00
10
00
00
01
11
10
11
00
10
01
00
10
10
10
00
00
10
01
00
11
10
00
00
00
11
10
11
00
10
10
01
10
00
00
00
00
10
10
01
00
11
01
10
00
00
00
10
10
11
01
00
10
10
00
10
11
10
11
00
01
01
00
01
10
00
11
10
00
10
10
00
01
11
10
01
01
11
11
10
00
00
00
01
11
00
10
10
01
01
00
01
11
01
11
01
00
01
00
11
10
00
00
10
11
00
10
10
10
11
11
00
00
11
11
11
01
00
11
00
01
10
00
10
11
01
00
01
10
00
00
00
00
01
10
10
00
00
10
01
11
10
10
11
10
00
00
01
10
11
00
00
01
01
10
11
00
00
01
01
10
10
10
00
00
00
10
10
00
10
00
10
10
00
00
00
00
11
00
00
00
11
00
01
10
10
10
01
10
00
01
11
00
00
01
01
11
10
01
10
10
10
10
10
01
00
10
00
00
10
00
00
00
00
10
11
11
00
00
10
01
10
01
00
10
00
11
10
00
00
10
10
00
10
10
11
00
01
10
00
10
01
00
10
00
01
10
10
01
01
11
10
10
01
10
10
00
00
00
10
00
11
11
10
11
00
01
01
10
10
00
10
10
00
00
10
10
10
10
00
10
10
11
00
00
00
01
10
01
00
00
00
10
10
00
01
11
00
11
01
10
10
00
01
11
11
01
10
00
00
10
10
10
11
00
00
10
10
01
10
00
00
10
11
00
01
00
11
00
00
10
00
00
11
00
01
01
10
01
10
11
10
00
00
00
00
00
10
10
01
01
11
10
00
00
00
00
00
10
11
10
00
00
11
00
00
10
11
11
01
10
00
00
11
00
01
10
10
00
01
00
10
10
10
10
01
00
10
10
00
10
10
00
00
01
10
11
00
00
00
00
10
10
00
00
10
11
01
11
00
00
01
00
00
10
11
01
01
10
11
00
10
11
10
11
00
11
00
00
10
10
01
01
11
00
00
10
00
10
10
10
00
10
00
00
10
11
10
10
00
10
11
01
10
01
00
01
11
01
01
10
11
00
01
10
10
10
00
01
10
10
00
10
10
01
00
00
01
11
11
10
10
11
11
10
11
00
00
01
10
01
00
10
10
00
00
11
10
01
00
00
00
10
00
00
10
11
10
00
10
10
00
10
10
01
10
00
01
01
01
11
11
01
10
11
10
01
01
10
10
00
01
10
00
00
10
11
01
00
10
10
01
01
00
10
00
01
11
00
00
10
00
00
11
10
00
00
00
11
11
01
11
01
00
10
00
11
10
00
01
00
01
10
00
01
11
01
00
01
11
10
11
00
10
10
10
11
00
10
11
10
00
11
00
00
11
10
01
00
10
11
11
11
00
01
11
11
00
10
10
10
00
00
10
11
10
00
01
00
01
10
10
10
11
10
10
11
10
00
00
00
11
01
00
10
01
11
10
11
01
10
11
01
00
10
10
01
00
00
10
10
11
00
00
10
10
10
10
01
00
01
11
10
10
10
00
10
11
00
01
10
01
00
00
11
11
10
10
00
00
00
01
10
01
00
10
10
10
10
10
01
00
10
10
11
00
10
00
00
00
10
11
00
00
10
10
10
11
10
01
00
01
10
11
01
01
10
10
11
00
00
10
10
00
10
10
00
00
11
00
01
11
10
00
00
10
11
00
01
10
00
10
00
10
00
01
11
00
11
01
10
11
00
00
10
00
01
10
00
00
10
10
01
11
11
11
01
00
11
00
10
10
01
01
11
10
00
10
00
00
11
01
10
01
00
01
01
01
00
01
11
10
00
00
11
11
00
00
01
11
10
01
11
10
00
00
11
01
00
11
01
01
10
11
10
00
01
10
11
00
10
11
00
00
11
10
00
00
00
00
01
10
11
00
11
00
01
10
10
00
00
11
10
10
00
11
00
01
00
11
00
01
00
11
10
01
10
10
00
00
00
11
11
00
10
10
11
00
00
11
00
10
01
01
00
11
01
10
10
11
00
00
10
10
00
11
11
00
10
00
00
10
10
00
10
10
00
11
00
01
00
10
10
00
00
00
00
10
00
01
10
11
01
01
10
10
11
10
00
00
10
00
10
10
10
01
10
00
01
10
01
10
00
00
00
10
01
10
10
10
01
00
11
00
10
10
00
01
11
00
01
11
00
10
11
10
01
00
00
00
10
11
10
10
01
00
10
10
00
11
10
10
10
11
10
01
11
00
11
10
11
00
00
10
01
00
10
00
00
00
01
01
01
11
10
00
10
01
01
01
10
10
10
11
00
00
01
10
10
01
00
00
01
00
10
11
00
10
00
10
00
00
00
10
10
01
10
00
11
10
10
00
00
11
10
00
00
10
10
00
00
10
10
00
01
10
10
10
10
00
00
10
01
01
00
01
00
01
10
10
10
10
01
00
00
11
10
01
01
00
10
00
10
11
10
10
00
00
10
10
00
00
10
10
10
00
01
01
10
11
10
10
00
00
10
10
10
00
10
01
00
00
00
10
11
00
01
01
11
10
10
11
10
10
10
00
00
10
10
00
00
11
10
10
00
01
10
00
01
01
00
00
00
01
00
10
10
00
10
10
10
00
00
11
11
00
00
01
10
01
10
11
00
00
00
01
01
10
10
10
01
10
10
10
10
00
10
01
00
00
01
10
11
00
10
10
10
10
11
00
01
11
01
01
00
00
10
10
01
01
10
10
10
00
10
10
00
01
11
01
10
10
11
01
00
10
00
00
00
10
11
00
00
00
10
01
00
10
10
01
00
11
01
00
11
01
10
10
00
00
10
00
00
00
10
01
01
00
10
11
00
11
11
00
01
00
00
10
10
01
00
10
10
00
00
01
11
10
00
00
11
11
00
00
10
00
10
01
10
10
11
10
00
00
00
00
11
10
00
00
01
00
01
11
11
10
10
00
10
11
10
01
00
00
00
01
00
11
01
10
10
11
10
00
00
11
00
10
10
10
00
00
11
10
10
00
00
10
10
00
01
00
10
00
10
10
10
10
01
00
00
11
00
11
11
01
11
10
01
00
10
10
10
00
00
10
10
10
01
10
10
01
10
11
11
10
00
10
10
10
00
00
01
10
00
00
11
11
10
10
10
10
11
10
00
00
00
10
00
11
10
00
01
10
11
10
11
01
10
00
01
11
10
00
00
10
10
00
00
01
01
00
11
01
01
10
10
01
00
00
10
11
11
00
10
00
00
00
10
10
00
01
01
10
10
01
00
11
01
01
10
11
00
10
10
01
01
00
10
11
01
00
00
11
00
10
10
10
00
01
10
01
00
00
01
11
10
00
00
00
01
11
00
00
00
00
00
10
11
10
11
00
00
11
10
10
00
01
10
11
00
00
00
10
11
00
10
01
00
10
10
00
10
01
11
00
00
10
01
11
10
01
10
00
10
00
00
10
10
10
11
10
01
10
01
10
10
10
11
01
00
10
10
01
10
01
00
00
11
10
01
10
10
00
01
11
10
11
00
10
10
00
10
10
11
01
00
10
00
00
00
01
11
01
00
10
00
00
11
01
10
10
10
00
11
10
00
11
10
01
00
00
01
01
00
11
00
00
11
01
01
10
10
01
11
00
00
10
10
10
10
00
10
10
10
00
00
10
00
11
00
00
10
00
00
01
00
11
01
01
11
10
10
11
11
00
11
01
01
00
01
10
01
10
11
01
01
01
10
00
10
11
00
01
00
10
10
00
01
00
10
11
10
10
00
01
11
10
10
00
01
00
01
11
01
00
00
01
10
10
01
01
11
10
00
11
11
00
11
10
10
01
01
01
10
10
01
10
00
00
00
11
10
00
00
10
11
00
10
11
11
00
01
11
00
10
10
00
00
00
10
10
11
01
01
11
11
00
11
10
10
00
00
10
10
01
00
11
01
00
10
10
10
10
10
10
00
00
10
11
00
01
01
10
10
00
11
11
11
01
10
10
01
11
10
10
01
00
01
10
10
01
00
00
10
00
01
01
00
01
11
00
01
01
10
10
11
10
00
01
10
00
01
01
00
11
10
00
00
10
11
00
10
10
10
10
11
00
11
11
00
00
01
10
10
00
00
10
11
10
00
10
10
00
01
10
00
00
01
10
10
10
00
01
00
00
10
00
00
10
11
10
00
00
00
01
10
01
10
01
10
10
00
00
10
10
11
11
10
11
00
01
11
10
10
00
00
10
00
01
10
11
01
10
00
10
00
11
00
00
01
10
10
00
00
10
00
11
10
10
01
00
10
00
00
00
01
10
01
11
11
11
00
00
10
00
00
10
10
00
00
11
00
11
00
00
11
00
00
00
01
11
00
00
11
10
00
01
00
10
11
10
00
10
00
10
00
10
11
00
11
00
10
11
10
11
10
10
00
01
01
10
00
01
01
11
11
00
11
10
01
10
10
10
01
01
10
11
00
11
00
01
10
10
00
00
10
11
10
00
11
10
01
00
10
00
10
10
10
10
00
01
00
00
00
00
00
11
10
10
10
00
01
11
00
01
00
00
11
00
11
10
00
00
00
10
10
11
00
11
11
10
00
10
00
00
10
10
10
00
10
10
00
00
01
00
01
00
10
11
00
11
10
11
11
10
00
00
11
00
10
10
01
00
10
10
10
10
00
00
11
11
10
11
11
00
10
11
11
10
01
01
00
01
00
11
10
11
01
00
00
10
11
01
10
10
00
11
00
01
00
10
00
00
11
01
10
10
00
10
10
10
10
01
01
10
01
10
00
10
00
01
10
11
00
01
00
00
11
11
10
01
01
11
11
01
00
11
10
00
01
10
00
01
11
00
01
00
11
10
01
10
11
00
01
00
00
10
11
10
01
11
01
10
00
01
10
00
00
11
10
00
00
10
11
00
00
10
00
01
10
10
00
10
10
10
11
11
10
10
10
00
00
10
00
10
01
01
00
00
00
00
10
10
11
10
00
11
10
11
00
10
11
11
01
00
10
00
11
11
10
00
10
00
10
11
00
10
00
11
01
01
00
10
00
00
00
10
00
10
00
00
10
00
10
11
00
00
11
11
10
00
00
00
11
00
00
10
11
01
00
10
10
01
00
00
10
10
01
01
01
11
11
00
11
00
00
00
10
01
10
11
01
01
11
00
10
10
11
00
10
11
00
01
10
00
10
10
01
10
11
01
10
11
10
00
10
00
00
10
01
00
00
10
11
00
00
00
11
10
01
11
10
10
01
01
00
01
10
10
11
10
00
10
10
00
00
11
10
11
00
00
10
00
00
10
10
00
01
00
10
00
10
10
00
10
00
10
01
01
10
00
01
11
10
10
10
00
00
00
10
11
10
11
10
01
01
00
10
01
10
10
01
01
01
10
11
00
01
01
01
10
10
00
01
10
11
01
10
10
00
01
10
01
00
00
10
00
00
11
10
00
10
10
00
00
10
10
10
01
00
00
01
10
00
10
00
00
01
11
10
00
00
01
10
11
00
11
10
10
00
10
10
00
10
11
01
10
00
10
01
11
00
11
11
10
00
00
01
00
10
10
10
11
01
00
11
00
00
01
00
11
10
10
10
10
00
00
10
10
00
01
00
00
10
00
10
11
11
01
11
00
01
10
01
00
01
10
10
01
10
00
00
11
10
11
00
11
10
00
10
10
10
10
00
01
00
00
00
10
01
01
11
01
00
11
10
10
11
00
10
01
00
10
00
10
11
00
01
00
01
10
10
10
11
10
00
01
01
00
10
11
00
10
10
00
10
11
10
10
00
10
11
10
11
00
11
00
01
11
11
01
00
00
11
00
10
01
00
00
10
10
01
01
10
10
11
11
00
10
11
10
00
01
00
00
10
11
00
10
10
11
11
11
00
01
00
00
00
10
11
10
11
01
00
00
00
00
11
00
00
00
10
10
01
01
01
00
10
11
10
10
00
00
10
11
00
01
10
00
10
11
00
00
00
10
10
00
00
10
10
10
10
00
00
11
00
10
11
00
00
00
01
11
10
00
10
00
11
10
00
01
01
10
01
00
01
01
00
01
00
00
11
00
00
11
11
01
00
00
00
10
01
00
10
10
10
00
00
10
00
10
10
01
10
00
01
10
10
10
10
01
00
00
00
11
10
10
00
00
01
00
00
10
01
00
01
00
11
10
00
01
10
10
01
01
10
10
11
11
10
11
00
00
10
11
01
00
10
10
10
01
01
10
00
10
10
00
01
10
01
00
00
10
10
10
10
10
01
00
00
00
01
10
10
01
00
11
10
00
10
10
11
10
11
00
00
10
00
10
11
10
00
00
01
00
11
00
10
01
01
11
01
10
01
10
11
00
00
11
10
00
10
00
10
10
00
01
00
11
00
01
11
00
11
11
11
11
11
00
11
10
10
00
00
00
10
10
00
11
10
00
00
10
10
01
10
10
00
10
10
00
00
10
00
00
11
00
00
00
00
10
00
10
00
00
10
01
10
10
10
10
10
10
01
00
11
10
00
00
10
00
10
11
10
10
10
00
00
11
00
00
10
10
00
11
01
00
00
11
01
11
01
01
10
10
01
00
10
10
10
00
10
10
00
00
10
11
10
00
01
00
10
00
11
10
11
10
10
00
11
11
00
10
11
00
00
10
11
11
00
01
00
00
11
10
00
01
01
10
10
10
10
00
01
01
10
10
01
11
10
00
10
10
11
10
01
01
00
10
00
01
11
10
00
11
10
00
01
11
00
00
10
11
10
10
10
00
10
10
00
01
10
00
00
11
10
00
10
10
11
11
11
10
11
00
00
00
11
10
00
00
11
11
00
00
00
10
10
00
10
10
00
10
10
01
10
10
11
01
10
10
10
01
10
00
00
10
10
10
00
10
11
01
10
00
10
10
10
00
10
01
00
10
00
10
00
10
11
00
00
10
10
01
11
00
10
00
11
11
00
10
00
00
11
10
00
01
10
01
10
10
01
00
11
10
00
01
10
10
00
01
00
00
00
10
10
10
01
01
01
00
00
10
00
10
01
00
10
10
00
00
01
00
01
10
11
00
10
11
00
00
00
01
10
01
00
11
11
10
10
10
11
10
00
01
10
00
01
10
11
10
10
01
00
11
10
00
10
00
10
01
10
10
00
11
10
00
01
11
10
00
10
00
10
00
00
11
11
10
01
11
10
01
10
00
00
11
10
00
01
10
10
01
11
00
00
00
11
00
01
10
10
10
01
01
10
10
00
00
00
10
10
11
00
00
00
10
10
00
01
10
01
01
01
00
00
01
10
00
10
00
00
11
11
11
00
00
10
10
00
00
10
10
00
01
10
01
10
10
10
01
11
00
01
10
00
00
10
00
00
11
10
11
01
10
11
10
00
00
11
00
11
10
00
11
01
01
00
00
11
10
00
11
01
00
01
00
11
10
01
10
10
01
00
00
10
00
00
00
01
01
00
00
00
00
01
01
10
10
10
10
11
00
00
10
10
10
00
11
00
00
11
11
00
10
00
00
10
11
11
10
01
00
11
11
10
01
00
10
00
00
10
01
00
10
11
01
10
00
10
00
01
00
00
10
10
01
10
11
00
00
10
00
01
10
01
00
10
00
01
11
10
10
00
01
00
10
11
00
00
01
00
00
11
01
00
11
11
11
10
01
01
11
11
00
10
11
01
00
00
11
11
00
01
10
00
10
10
10
00
10
10
11
00
11
00
10
11
00
00
11
11
01
00
00
01
11
10
10
11
01
00
00
10
10
10
10
10
00
11
11
11
01
10
10
10
00
00
00
10
01
00
01
10
11
00
10
01
10
10
00
10
00
01
11
00
01
10
01
10
11
11
11
10
00
00
11
00
00
00
10
10
00
10
00
01
10
11
00
10
00
10
10
00
10
10
11
00
11
11
10
10
11
11
00
00
01
10
10
00
11
00
01
00
00
11
00
00
10
10
11
10
00
11
11
10
11
01
00
10
10
00
01
10
11
10
11
10
01
10
10
00
10
00
00
00
10
00
00
00
10
00
00
00
00
11
00
00
10
10
10
00
11
10
11
00
10
00
00
00
11
10
01
00
11
11
11
10
00
01
10
10
00
00
10
10
10
00
10
00
00
10
01
10
11
11
11
00
10
11
00
11
10
00
11
10
10
00
00
10
10
00
11
00
00
10
10
01
10
00
01
11
11
00
11
10
00
00
11
10
11
00
00
00
10
01
00
01
10
10
10
10
10
00
01
01
10
01
10
00
10
01
00
10
10
10
00
00
10
01
10
00
01
00
00
00
00
10
10
10
10
00
00
00
11
01
00
10
01
10
10
00
11
10
11
01
00
10
10
00
00
01
11
10
10
00
10
10
00
10
10
10
01
11
00
00
10
11
10
10
00
00
00
00
00
10
00
00
10
10
00
01
11
00
10
01
10
00
00
11
10
10
00
00
01
11
11
10
01
00
00
00
10
00
01
01
01
00
01
11
10
10
10
11
00
00
11
11
00
00
10
01
00
00
10
10
00
10
11
00
11
11
10
11
01
01
11
00
01
10
01
00
10
10
11
00
01
11
01
11
10
00
01
01
11
11
11
01
11
10
01
10
00
00
10
00
00
11
11
10
01
01
10
00
10
10
01
00
11
11
00
00
00
00
10
10
00
10
10
00
10
00
00
00
00
00
00
00
10
00
10
01
01
10
00
10
00
10
10
10
10
00
00
11
10
01
00
10
10
10
10
01
10
10
01
10
00
00
00
10
00
10
00
00
00
10
10
00
00
01
10
01
01
11
00
01
00
00
01
10
10
00
10
10
10
11
00
00
00
10
00
11
11
00
11
01
10
00
11
00
01
10
10
01
10
10
10
10
01
11
01
10
00
00
00
01
11
10
01
00
10
11
00
00
10
11
00
11
00
00
10
00
10
11
11
00
01
10
00
10
00
01
10
01
00
11
10
00
10
10
00
00
10
00
00
00
10
01
01
10
01
00
00
11
00
10
01
01
10
00
00
00
10
10
10
10
00
00
11
00
00
11
10
00
00
10
10
01
11
10
00
00
00
00
10
11
00
00
00
10
01
01
11
01
11
10
10
10
00
00
00
01
01
10
10
01
10
10
01
10
01
00
10
00
10
10
00
00
10
00
10
10
10
00
11
00
00
01
00
10
11
10
10
10
00
00
10
11
01
00
10
10
10
01
01
01
10
01
00
11
01
01
00
11
11
00
10
11
00
01
01
10
10
10
11
10
10
01
01
00
10
00
10
01
10
00
00
11
10
10
00
11
10
01
00
00
01
10
00
00
01
10
11
00
00
11
10
00
00
10
11
00
10
10
10
00
00
10
00
00
00
00
01
10
11
00
00
00
10
11
00
11
10
10
10
00
10
00
10
10
00
00
00
10
00
00
01
10
11
10
00
10
00
01
01
00
10
01
10
00
10
10
00
11
10
10
10
00
10
10
01
01
01
11
10
00
10
10
01
00
10
10
10
01
00
10
00
00
10
01
11
01
10
10
11
01
10
10
10
00
00
10
10
01
01
10
10
10
10
00
10
11
00
00
01
00
01
10
01
00
10
10
01
10
10
00
00
00
11
10
01
10
11
00
00
10
01
00
10
01
11
10
11
00
00
11
00
01
10
01
00
10
00
10
11
00
11
11
10
00
01
10
11
00
00
11
00
00
10
01
00
00
10
10
00
01
11
11
01
10
01
00
01
00
10
11
01
01
10
11
00
11
10
00
00
10
01
00
10
10
10
00
10
00
11
10
01
00
00
10
00
01
01
00
10
10
00
00
00
01
10
01
00
10
00
00
10
10
01
10
00
10
10
11
01
00
11
00
10
10
00
10
00
00
10
10
01
01
00
01
10
11
00
00
00
01
00
10
11
00
10
01
11
11
10
11
00
00
10
01
11
10
10
10
01
10
10
01
10
11
00
00
10
11
00
11
11
00
10
10
00
00
10
10
00
00
11
10
10
10
00
00
01
01
10
00
01
10
10
01
10
10
01
11
01
00
11
10
00
01
10
00
00
00
10
00
00
01
10
00
10
00
00
10
10
10
10
10
00
01
01
00
11
00
11
00
01
10
11
10
01
10
10
00
10
01
00
10
11
11
01
11
00
00
11
10
00
00
10
11
01
00
01
10
00
00
01
10
10
00
00
01
10
00
01
00
11
00
10
11
01
11
00
00
10
00
00
00
11
01
00
10
01
10
10
01
00
00
00
10
10
10
00
10
10
00
10
00
01
11
11
10
10
00
10
10
11
00
01
11
11
00
00
00
11
11
00
11
10
10
00
10
10
10
10
00
01
11
10
01
10
11
10
10
01
00
01
10
01
00
00
11
01
11
10
00
00
10
10
01
00
11
10
01
00
00
11
11
11
11
01
00
01
10
11
11
00
00
11
00
00
01
10
01
11
00
00
10
00
10
11
00
00
01
00
00
11
00
10
10
01
01
10
11
00
01
10
11
01
11
10
00
10
10
11
00
00
11
10
10
10
11
00
00
10
00
00
00
10
10
11
11
11
00
10
10
10
01
00
10
10
00
00
10
01
10
10
01
01
11
00
10
00
00
11
01
10
10
00
10
01
10
00
10
01
01
10
10
11
00
00
10
00
01
10
11
00
10
10
01
10
00
00
10
10
01
00
11
00
00
10
00
10
11
00
00
01
01
10
01
00
10
10
00
11
01
00
00
00
10
00
00
01
10
10
00
01
10
10
00
10
01
00
01
10
10
01
00
10
00
11
10
01
10
10
11
10
11
11
00
01
11
00
00
01
10
00
00
01
11
11
10
10
10
00
00
01
10
11
00
00
10
00
10
00
10
00
10
00
01
01
00
00
10
10
10
01
00
10
01
00
00
10
01
00
10
11
10
01
00
10
11
10
01
10
11
00
00
10
00
10
00
10
11
01
11
10
01
10
01
11
10
00
01
00
10
00
00
10
10
00
00
10
11
11
11
01
01
10
11
10
01
11
10
01
00
01
01
10
11
10
00
01
00
10
10
00
00
10
10
10
00
10
00
00
00
00
00
10
10
10
10
11
11
11
00
00
11
00
11
00
10
10
01
10
00
00
00
00
00
11
10
11
10
10
10
01
00
01
00
01
00
10
10
01
11
10
10
11
00
10
01
10
10
01
00
11
01
10
10
10
01
10
10
00
00
00
10
00
10
10
10
10
00
00
01
00
10
01
10
01
00
11
00
00
00
11
01
00
11
11
10
00
10
10
00
11
11
01
01
00
11
10
10
10
00
10
10
10
00
11
10
00
00
01
10
00
10
10
11
11
00
01
10
10
00
10
10
00
00
10
10
01
10
01
00
00
00
00
10
10
01
00
00
00
01
01
11
11
11
10
10
00
00
01
00
00
10
10
00
11
01
10
01
00
10
10
10
11
00
00
11
10
11
01
00
10
11
10
01
00
10
01
01
00
10
00
01
10
00
00
01
11
00
11
11
11
10
11
00
01
10
10
10
11
01
01
10
11
01
00
00
00
00
10
10
00
10
11
00
10
01
00
10
00
01
10
00
10
11
10
11
10
00
01
11
00
10
00
01
10
10
00
11
10
00
00
00
00
10
01
11
10
00
01
00
00
00
10
01
10
10
10
10
01
01
00
01
00
01
11
11
00
10
11
00
00
00
11
11
01
01
00
10
00
00
10
00
00
10
10
00
10
11
00
10
11
00
00
11
11
00
01
10
10
00
01
10
00
00
11
10
01
00
10
10
00
10
00
00
11
00
01
00
10
00
00
01
11
10
00
00
01
01
10
11
00
00
10
00
00
10
00
00
10
01
10
10
01
00
11
00
00
10
10
00
10
10
01
10
00
10
01
10
00
00
01
00
00
01
10
00
00
11
10
10
01
10
11
00
11
10
11
11
00
11
00
00
11
00
01
11
00
00
10
10
10
00
11
10
11
00
01
10
00
10
10
10
01
10
10
00
11
00
10
00
00
00
10
01
11
10
01
00
10
01
10
01
00
10
10
10
10
01
00
10
10
10
00
11
10
01
10
10
10
01
11
10
00
00
11
10
11
10
00
00
11
00
00
00
10
01
00
00
00
10
00
00
00
10
10
00
10
10
10
11
00
00
01
10
11
01
00
10
11
01
00
01
10
10
01
10
00
10
01
10
10
00
10
01
01
11
00
11
01
11
00
00
00
10
10
01
01
10
00
10
10
01
00
00
10
10
01
10
00
00
00
10
00
01
01
10
01
01
11
00
00
10
01
00
11
10
01
00
01
11
10
00
10
11
01
00
10
00
00
10
00
00
01
00
10
11
11
10
11
01
00
01
00
10
10
11
00
10
11
00
00
00
10
00
10
10
10
10
01
00
00
00
01
10
10
11
10
11
01
10
00
10
01
10
00
00
11
10
11
00
00
00
10
11
10
10
10
01
01
00
01
10
11
10
11
10
00
10
10
10
00
00
00
00
10
10
10
10
10
01
01
10
10
10
00
11
00
01
11
11
01
00
10
00
10
00
10
10
00
10
10
00
01
00
10
10
10
01
10
00
10
00
00
10
00
10
10
01
10
11
10
10
01
00
01
11
11
00
11
00
01
11
10
10
10
01
01
10
00
01
10
00
00
00
00
00
10
11
00
00
11
01
00
10
10
00
00
10
10
11
10
00
01
11
11
00
00
10
00
10
00
00
11
00
00
10
01
11
10
10
11
00
00
10
10
11
00
00
10
00
00
01
10
10
00
00
00
00
10
00
10
11
00
11
00
10
10
01
10
00
00
11
10
11
00
00
10
01
00
10
00
00
00
10
00
10
00
00
01
10
00
11
10
11
01
00
10
01
10
00
10
00
00
10
11
11
10
00
11
00
11
10
01
01
00
00
11
01
01
11
11
00
00
10
11
01
11
10
01
10
11
00
00
10
11
00
00
00
10
00
00
11
00
00
00
10
10
00
10
00
00
10
01
00
11
10
10
01
00
11
11
11
00
10
10
10
00
00
10
00
01
10
10
10
10
00
11
00
00
00
11
01
00
01
10
11
10
10
10
00
00
10
10
01
01
10
01
00
00
11
11
00
10
10
00
10
11
00
00
01
10
10
01
01
11
10
01
10
10
01
11
01
00
10
10
00
01
11
11
01
01
00
01
00
11
00
00
10
11
10
00
10
11
00
00
00
11
01
01
01
11
10
01
10
11
11
10
00
00
00
10
10
01
00
00
01
01
00
01
10
11
10
11
00
00
11
10
00
10
10
01
10
10
00
00
01
00
00
00
10
11
01
11
10
00
10
01
01
00
00
11
10
00
01
10
10
10
01
11
10
10
10
10
10
00
00
00
00
10
00
00
10
11
10
10
01
00
10
01
10
10
01
00
10
11
11
00
10
10
00
00
10
00
01
10
11
01
00
00
00
10
11
11
00
00
11
10
11
10
10
00
10
10
00
10
10
10
10
11
00
00
11
00
10
10
00
00
01
10
00
00
01
10
11
10
01
00
01
10
00
00
10
10
11
00
00
01
10
10
00
11
00
01
11
10
10
00
01
10
00
01
00
00
00
10
01
10
10
00
01
10
01
01
00
00
11
11
10
11
01
10
00
00
10
00
10
10
11
00
00
01
10
10
00
01
10
01
00
00
00
10
11
10
00
00
00
10
10
10
00
00
10
00
10
11
00
00
01
00
00
10
10
11
10
11
01
11
00
00
10
00
01
10
01
00
10
10
01
10
00
10
10
01
10
00
11
10
01
10
00
00
00
01
10
01
01
11
00
01
10
00
00
10
11
01
01
11
00
01
10
10
10
10
01
01
11
11
01
10
01
11
10
00
00
10
10
01
00
11
11
00
11
00
01
11
11
00
00
00
10
10
00
11
11
00
01
10
00
00
10
00
00
00
01
00
10
10
00
01
11
10
10
10
00
01
10
00
01
01
00
10
00
11
10
10
11
00
00
10
10
00
01
10
00
10
10
00
00
10
00
00
10
10
11
00
01
10
10
01
10
00
10
10
01
10
10
01
10
10
01
00
11
00
10
10
11
00
00
00
10
10
10
11
00
10
10
11
00
00
11
10
10
10
11
00
11
01
01
10
00
00
00
01
00
10
10
10
00
00
00
00
11
11
00
10
01
01
10
00
00
10
00
00
01
10
00
01
10
11
10
10
01
01
11
10
10
01
10
11
00
00
11
10
01
01
10
11
10
10
00
00
10
01
10
10
01
00
11
10
11
00
00
00
11
11
11
00
01
10
10
10
00
00
10
11
11
00
00
10
01
11
00
01
00
11
01
00
10
10
00
00
10
10
10
01
00
00
00
11
01
00
10
00
10
10
10
10
00
00
00
10
00
00
10
00
01
11
00
10
10
00
00
00
10
00
11
10
00
11
11
11
01
10
10
11
00
10
10
00
00
00
10
10
00
00
00
10
11
01
10
11
01
00
00
01
00
11
10
10
00
01
01
11
10
10
00
10
00
00
10
00
00
10
01
10
00
10
00
00
00
10
00
00
11
11
10
00
10
11
11
00
11
00
01
01
00
11
10
00
00
10
01
10
00
00
00
10
11
10
10
00
00
10
00
00
00
11
00
11
10
00
10
00
00
11
10
00
00
11
10
00
00
00
11
00
10
01
11
10
00
00
10
00
11
11
00
10
10
11
10
11
00
10
00
10
11
00
10
10
00
00
01
00
10
00
01
00
00
11
01
11
11
10
01
00
10
10
10
00
10
00
01
01
10
10
01
00
01
01
10
11
01
11
10
10
00
10
00
00
11
10
00
10
00
00
10
00
10
01
00
00
10
00
01
11
00
00
01
11
10
00
01
11
00
11
11
11
11
00
01
10
01
00
10
10
10
10
00
00
11
00
00
00
10
10
10
01
11
00
00
00
01
01
10
10
00
00
10
00
11
11
00
01
01
00
01
00
01
00
00
11
10
01
00
01
10
10
00
10
10
00
10
11
00
01
11
00
00
00
10
10
01
01
01
00
10
10
11
00
00
00
01
10
10
11
00
01
11
01
11
11
10
00
10
10
10
00
00
10
01
01
11
10
01
11
10
00
10
00
01
11
00
00
10
00
11
11
00
10
10
10
00
10
10
01
10
00
11
10
01
11
10
00
01
10
00
10
10
11
00
10
01
00
11
00
10
10
10
10
00
01
11
10
11
11
01
10
00
00
11
10
01
11
00
00
00
10
00
11
10
10
01
01
11
00
01
10
01
11
01
00
11
00
00
10
10
11
00
11
10
10
11
10
01
10
11
01
10
11
00
10
10
01
01
00
10
10
00
01
00
10
11
00
10
11
10
00
00
01
00
10
10
00
00
00
10
00
10
10
11
01
10
11
00
10
11
10
00
10
11
01
01
10
10
11
10
10
00
00
10
10
00
10
01
00
10
11
00
11
11
00
00
00
10
11
00
01
10
00
10
11
00
00
10
11
00
10
01
10
00
00
00
00
00
01
10
10
10
01
00
10
00
01
11
00
11
10
00
11
01
00
10
10
00
00
11
00
11
01
00
10
10
11
00
11
10
00
00
00
11
10
11
01
10
10
11
00
00
01
10
00
00
10
10
11
10
00
01
00
11
10
01
10
11
10
00
10
11
10
01
00
01
10
10
11
00
01
11
10
00
10
00
00
01
10
10
00
11
11
01
11
10
10
00
00
01
10
10
00
11
10
00
01
11
01
00
01
00
10
11
00
10
10
10
00
10
01
00
11
00
00
10
01
01
11
01
01
10
00
10
00
00
10
10
00
00
11
11
11
00
00
01
10
00
00
10
10
10
00
01
00
00
10
10
00
10
11
01
10
10
00
10
01
11
10
01
10
01
01
00
11
10
01
00
11
01
01
00
10
00
00
00
10
10
00
00
11
10
11
10
01
01
00
01
10
01
00
10
10
00
00
10
01
00
10
00
01
10
10
10
11
00
11
11
01
10
00
11
10
11
00
00
10
00
01
11
11
01
11
10
01
10
00
11
11
00
01
00
01
10
11
00
11
11
10
10
10
00
00
00
11
00
11
01
11
00
01
10
00
00
11
10
10
01
01
00
00
10
10
10
00
01
00
10
00
00
11
00
10
10
00
10
01
01
01
10
00
10
10
01
10
10
00
01
11
10
00
01
10
00
10
10
10
10
00
00
00
11
10
01
00
10
10
01
10
01
00
10
10
11
00
00
01
11
10
10
10
01
01
11
11
00
00
00
10
00
00
00
10
00
10
10
10
11
00
00
11
10
11
10
00
00
01
10
00
00
10
10
00
10
10
00
01
11
01
10
00
01
00
10
10
11
00
00
10
01
00
01
11
10
01
00
00
01
00
10
10
00
11
00
10
10
01
01
10
00
10
11
00
00
01
10
01
00
10
10
10
01
10
01
11
11
00
00
11
00
10
10
00
10
00
00
10
11
10
00
10
10
10
11
10
11
00
00
01
00
11
10
10
00
00
10
00
01
11
00
10
00
11
10
11
11
01
01
00
00
10
11
01
10
10
00
11
00
10
10
00
00
00
11
10
11
11
10
01
00
00
00
01
10
10
00
00
10
11
00
00
01
11
10
10
00
00
10
10
00
10
00
01
11
10
00
10
10
00
00
00
11
10
10
00
00
00
01
10
10
00
00
11
00
11
11
10
00
10
10
00
11
00
00
01
11
01
00
00
10
11
01
00
10
11
00
00
10
11
00
00
11
01
01
10
10
11
10
00
01
10
10
01
00
00
00
00
10
10
10
11
00
10
00
00
00
01
11
11
10
11
00
01
00
00
10
10
10
00
10
10
00
10
10
10
00
10
10
01
01
11
11
00
11
01
11
10
00
01
11
00
01
00
11
10
00
00
10
00
11
10
10
11
00
01
01
10
00
10
00
11
11
01
00
01
11
10
00
01
01
11
10
01
00
00
00
10
10
00
00
10
01
10
10
00
00
11
00
10
10
10
00
00
10
10
10
10
11
00
10
00
11
10
10
00
00
11
11
10
10
10
01
00
01
11
11
11
11
10
01
00
00
00
10
10
01
00
10
10
00
01
00
00
01
10
10
00
10
00
10
10
10
11
00
00
10
00
10
00
00
01
10
10
00
00
01
00
10
00
00
01
00
10
10
10
11
10
11
00
10
11
10
01
00
10
10
10
01
10
11
00
11
00
11
00
00
01
10
10
01
11
10
10
10
00
01
10
00
11
00
00
00
10
11
11
10
10
11
00
01
11
00
10
10
00
11
00
00
10
01
11
00
10
11
11
11
10
01
00
10
11
00
11
11
10
00
01
01
00
00
10
00
00
10
10
00
00
10
00
10
00
01
11
10
11
00
11
01
01
00
01
00
10
10
10
00
11
00
10
10
10
00
00
11
10
11
11
01
01
00
10
01
01
11
00
00
10
10
00
00
10
10
00
00
00
10
10
10
01
10
10
01
10
00
10
11
00
00
00
10
10
01
11
00
10
00
00
11
01
11
11
01
10
11
10
00
00
01
11
01
11
11
10
01
11
00
01
10
11
00
01
10
10
01
10
01
00
10
10
00
00
00
01
10
10
00
00
11
10
00
00
00
11
10
11
00
01
10
11
00
00
00
00
10
10
00
01
10
01
11
10
00
10
01
01
11
10
01
10
10
00
11
00
11
01
00
10
10
00
11
10
01
10
11
01
00
00
10
00
00
11
11
11
01
11
11
11
01
10
00
01
10
10
00
00
10
00
01
10
00
10
11
11
01
01
10
01
01
00
00
10
10
01
00
10
01
00
11
10
00
10
11
01
00
01
11
10
00
00
00
11
10
00
11
01
01
10
01
11
00
10
01
00
11
00
10
00
10
10
10
01
00
10
10
11
00
11
00
11
01
01
10
10
10
00
11
10
11
10
01
00
10
01
10
11
00
00
10
01
00
10
00
01
01
01
00
11
00
10
00
11
10
00
00
01
00
01
00
10
00
01
10
10
11
01
01
01
10
11
10
00
00
11
00
01
10
10
00
10
10
00
10
01
00
11
11
01
01
00
01
10
10
00
11
11
00
10
10
00
00
11
01
00
01
10
10
00
10
11
10
00
00
10
10
11
10
00
10
11
00
11
00
11
00
00
01
00
01
10
01
00
00
10
11
00
00
10
10
10
11
11
00
00
00
00
00
11
00
10
10
00
11
01
11
00
11
11
00
01
00
10
11
11
00
01
11
11
01
01
10
01
00
10
00
00
10
00
01
11
01
00
11
00
00
00
11
11
00
10
10
00
00
00
10
01
00
00
00
10
10
01
10
00
00
00
00
01
01
00
10
10
00
00
01
00
00
00
10
00
00
00
11
10
00
00
00
00
00
00
10
11
00
00
00
11
00
10
11
00
01
00
00
10
10
00
10
00
10
00
00
01
00
10
00
10
10
11
01
01
00
11
11
10
10
01
11
11
00
01
01
10
01
11
10
11
00
01
00
00
10
11
00
00
01
10
00
01
11
01
11
10
10
00
00
11
00
00
10
11
00
10
10
01
01
00
10
10
01
00
11
10
11
10
10
00
00
10
00
10
10
00
00
11
10
00
00
10
10
11
10
00
01
10
00
01
10
11
10
00
10
00
10
11
11
00
00
11
01
10
11
10
01
00
10
00
01
11
10
00
11
01
01
10
10
01
01
00
11
10
01
10
01
01
10
10
00
00
11
00
00
00
10
11
01
01
01
10
10
00
11
01
11
10
11
10
00
00
01
10
11
01
00
01
11
11
01
10
10
10
10
00
00
10
11
00
00
10
00
00
01
00
11
10
00
11
01
00
10
00
10
10
00
10
01
00
11
00
00
10
01
00
11
10
01
00
00
10
00
10
10
00
00
00
10
10
00
01
00
11
00
10
00
01
01
10
11
01
11
10
01
10
00
01
11
01
00
00
10
11
00
00
00
10
10
11
00
11
10
10
00
11
10
01
10
10
00
00
00
10
10
00
00
00
00
00
01
00
10
00
00
10
01
01
10
11
01
00
00
00
10
10
10
10
10
00
00
10
10
11
01
10
01
00
11
10
01
00
10
00
01
10
10
11
01
01
11
01
10
10
10
01
00
00
10
10
00
11
01
10
11
01
10
00
11
11
01
00
10
00
10
00
00
11
10
10
10
10
01
01
11
10
11
10
00
10
10
00
00
10
11
00
10
01
10
00
00
10
10
01
10
11
11
00
00
00
11
01
11
00
00
00
10
00
00
11
00
00
00
01
10
10
10
10
01
00
10
10
00
00
00
10
10
00
10
00
00
11
00
10
01
10
00
00
01
01
00
01
10
10
00
11
10
00
11
11
10
00
01
00
10
10
01
01
11
11
01
10
11
11
00
10
10
10
00
10
11
00
00
00
01
00
11
00
10
11
10
00
10
00
00
01
00
10
11
00
01
01
01
01
00
10
11
10
00
00
00
10
00
00
10
11
11
11
00
00
10
01
00
01
00
10
10
01
10
10
10
01
10
11
10
01
00
11
11
00
11
00
10
10
01
11
00
01
11
11
01
01
10
10
00
00
00
10
11
00
10
10
11
01
10
00
10
10
00
10
10
00
00
10
10
01
10
00
00
00
00
00
10
01
11
01
11
01
01
01
00
10
00
00
10
01
00
10
11
00
10
01
10
00
01
10
00
01
10
01
10
10
10
11
00
01
00
10
00
01
00
00
00
11
00
01
11
01
01
11
00
11
11
00
01
00
10
10
01
01
11
00
10
11
10
00
01
01
10
00
00
10
01
01
00
00
10
10
11
11
11
01
10
10
10
10
00
11
01
00
00
11
11
01
00
10
11
00
00
10
11
00
00
01
00
11
10
10
00
00
01
01
10
00
10
00
10
10
11
00
10
10
10
01
10
00
00
01
10
11
10
01
11
11
10
11
00
01
01
00
00
10
00
11
11
11
10
00
00
00
10
10
00
00
10
10
10
00
00
00
10
10
00
00
10
10
01
11
10
11
00
10
10
00
00
11
10
00
00
00
01
10
01
11
11
10
00
10
10
00
00
10
10
00
10
00
11
10
10
00
10
11
00
10
11
00
11
10
11
00
00
00
11
00
01
01
11
00
10
10
00
10
00
00
10
10
00
10
10
10
11
11
00
10
00
10
01
00
00
00
01
11
11
00
10
11
01
10
10
11
00
10
10
00
00
01
10
10
11
00
11
01
11
01
11
11
10
00
01
00
00
11
10
11
11
11
01
00
11
10
00
01
11
00
01
10
11
10
00
11
01
11
11
01
00
10
00
11
10
00
00
10
10
11
00
00
10
01
01
01
00
11
01
10
10
10
10
00
00
11
10
11
01
10
10
10
00
10
10
00
11
01
11
01
10
00
01
00
00
00
10
00
01
00
11
10
11
11
00
00
00
00
10
11
00
01
10
00
01
10
10
10
10
00
00
01
00
11
00
00
01
00
10
10
01
10
10
01
00
10
10
10
10
00
00
10
00
01
10
11
00
11
00
00
00
11
00
00
00
10
00
11
11
00
10
01
00
10
10
01
01
10
11
00
00
00
11
10
11
00
01
10
11
01
10
00
01
10
10
10
00
11
00
00
11
10
00
00
01
01
01
10
10
01
10
11
10
11
11
10
00
10
00
00
00
01
10
01
11
01
11
11
00
01
11
00
10
11
00
10
00
10
10
00
10
00
11
10
10
10
00
10
11
11
00
00
01
01
10
11
11
00
01
01
10
00
00
10
10
00
00
11
11
01
10
00
00
01
00
10
10
01
00
11
10
00
01
00
10
10
11
11
11
01
01
10
11
01
00
10
10
00
10
01
00
10
10
11
00
01
00
11
00
01
00
10
00
01
10
11
11
00
10
10
01
10
01
10
11
00
01
01
10
00
00
11
10
11
00
01
01
00
11
00
10
10
00
00
10
00
01
00
11
01
10
10
10
11
01
00
10
10
00
00
00
10
00
00
10
10
01
00
10
00
10
00
10
10
01
10
10
00
10
10
10
00
01
00
00
00
10
10
10
11
11
00
10
01
10
10
00
11
01
00
10
01
00
00
00
10
11
10
01
10
00
00
00
10
11
00
10
00
01
10
10
00
00
10
10
00
11
00
00
10
00
10
00
00
00
10
11
10
11
10
10
00
00
00
11
11
00
10
10
00
10
00
01
00
10
00
00
11
00
01
10
11
10
00
10
10
00
01
01
00
11
10
10
11
10
10
11
01
00
01
10
01
00
10
00
11
11
10
10
00
11
01
10
00
11
10
10
01
10
11
00
01
01
10
11
00
00
00
01
10
10
11
11
10
10
10
00
00
00
01
10
11
00
11
11
10
10
01
01
11
10
00
00
01
10
11
10
00
01
11
10
00
00
10
10
10
00
01
10
00
00
00
10
01
01
11
00
01
01
10
01
01
00
10
10
01
10
11
00
00
11
01
00
00
10
00
10
11
01
01
10
10
00
01
00
01
11
10
10
10
01
00
00
10
10
00
00
00
00
00
00
10
10
00
00
10
11
01
10
01
00
00
00
01
00
11
10
10
10
00
11
00
00
10
01
00
10
01
00
10
11
10
00
00
11
01
10
00
00
11
10
00
11
10
10
10
11
01
01
10
01
00
01
10
10
00
10
10
01
00
10
11
01
10
00
10
10
00
10
10
00
10
10
01
10
00
10
10
10
10
10
10
00
00
01
10
00
10
00
01
00
00
10
01
10
10
11
10
00
01
01
10
00
00
01
01
11
00
10
10
00
11
10
00
00
00
11
10
00
01
11
10
00
11
00
01
10
10
10
10
10
00
10
00
01
10
10
11
00
10
01
11
11
00
00
00
00
00
00
10
11
01
10
01
01
01
01
00
01
10
11
00
00
10
10
00
01
00
10
10
00
11
11
10
00
00
01
00
10
10
10
10
00
10
00
00
00
10
11
01
10
00
10
10
00
10
10
01
01
10
01
00
10
10
00
11
11
00
00
10
11
10
01
00
10
11
00
11
10
10
00
01
11
00
11
10
10
01
00
00
10
11
01
01
11
00
10
10
00
00
10
10
10
10
00
11
11
10
00
00
10
10
11
11
00
01
00
00
10
11
11
01
00
10
00
10
00
11
11
01
10
00
00
00
00
11
11
00
00
10
10
00
00
00
10
11
11
10
11
10
10
00
00
10
10
10
01
01
11
00
10
00
11
00
11
00
01
01
11
01
10
10
01
10
11
10
01
00
11
01
10
10
00
00
10
11
11
00
00
10
10
11
01
01
00
00
00
10
11
00
11
10
10
10
10
00
00
10
11
00
01
10
01
10
11
10
10
10
00
10
11
10
00
00
10
01
10
00
01
00
10
10
00
00
00
11
10
10
00
01
00
01
00
01
10
11
01
10
01
01
11
11
00
10
11
00
01
10
11
00
10
00
00
00
10
00
11
11
01
01
10
10
10
10
00
00
00
10
00
11
10
00
00
10
10
01
01
11
11
00
00
10
00
01
01
10
10
00
00
10
10
00
00
10
10
00
00
00
10
11
01
10
01
10
11
10
10
01
00
10
10
01
00
11
11
00
01
11
10
00
10
10
10
01
01
00
01
11
01
10
10
00
10
11
00
10
11
01
01
00
10
01
00
10
11
00
01
10
01
10
00
01
10
11
11
00
01
00
10
11
00
00
00
01
10
11
11
01
01
10
00
00
00
01
10
10
10
01
01
11
10
01
00
10
10
10
10
10
01
10
10
01
00
10
00
00
01
10
10
10
10
01
00
10
10
11
10
00
11
01
00
10
10
11
00
01
00
10
01
00
00
11
00
00
11
10
00
10
10
00
00
01
00
10
11
01
10
10
01
00
00
10
10
00
10
11
00
11
11
01
10
10
01
00
11
00
10
10
00
11
01
01
11
01
01
01
11
00
00
10
10
10
10
01
00
00
10
10
10
10
10
01
10
10
00
10
00
00
01
00
00
10
10
10
00
00
10
10
11
00
10
10
10
11
10
01
00
00
00
11
00
00
00
00
11
10
00
10
11
10
10
00
10
00
00
10
00
11
11
10
01
10
10
00
00
10
11
10
00
01
00
10
10
01
00
00
10
11
10
10
11
00
11
00
00
00
10
00
10
00
00
10
10
11
00
00
00
00
11
10
11
10
10
10
10
01
00
00
00
10
10
01
01
11
11
00
11
01
00
10
10
00
01
10
10
10
10
00
00
00
10
10
10
10
00
10
10
11
00
11
11
11
00
10
10
00
01
11
00
01
01
00
00
01
10
00
10
11
10
10
00
01
11
00
01
01
01
10
10
10
01
11
11
01
01
10
11
10
10
01
10
10
00
10
00
10
11
00
10
00
10
10
00
10
00
00
11
00
00
10
10
00
11
10
10
10
01
10
10
11
01
01
11
00
11
11
00
00
01
10
10
00
00
00
10
10
10
00
00
11
10
01
01
10
00
01
10
11
11
00
01
00
01
11
11
01
11
01
10
01
01
00
11
10
00
01
10
10
10
01
00
01
01
11
10
00
00
01
00
10
11
11
01
11
11
00
11
10
01
11
01
00
10
11
10
11
01
00
10
10
00
10
00
10
01
00
10
10
00
01
10
00
00
10
10
11
10
01
00
11
10
10
00
00
10
01
00
10
10
10
00
00
10
01
00
11
10
00
11
10
00
11
01
00
01
00
11
11
00
10
11
00
10
10
00
10
00
00
00
00
10
00
11
10
01
11
10
00
10
01
10
01
01
10
11
11
00
00
00
10
10
00
00
00
01
01
10
11
00
01
10
00
00
11
11
00
00
10
10
00
10
01
00
10
00
00
10
11
10
00
10
10
10
00
10
01
10
00
01
01
10
00
00
00
00
11
10
10
11
01
10
11
11
10
01
10
00
00
10
10
01
00
10
00
00
10
11
01
11
10
00
00
00
11
10
00
00
00
10
10
11
11
00
10
00
10
11
10
00
00
10
11
11
10
11
10
01
00
01
10
00
00
11
11
00
10
11
00
00
00
01
10
00
11
10
01
11
00
01
01
00
10
00
01
10
01
11
01
00
00
10
10
10
11
00
01
11
10
10
01
01
10
11
10
10
10
00
00
10
01
01
01
01
11
00
00
01
11
11
00
00
10
00
00
10
01
00
10
10
01
10
10
11
00
00
10
10
01
10
11
11
01
01
01
00
11
10
00
10
00
01
10
11
00
10
00
01
00
00
11
10
10
00
00
00
11
10
01
00
11
01
11
01
01
10
10
11
00
11
10
00
00
10
00
01
00
10
11
00
10
00
10
10
00
00
00
00
10
00
11
10
00
10
00
10
01
00
11
01
10
11
11
00
00
00
10
11
00
10
10
01
01
00
01
10
10
00
01
10
10
01
00
11
00
01
11
11
10
01
11
11
01
01
10
10
10
00
00
10
00
00
01
01
11
01
10
10
00
10
10
01
11
10
01
00
00
10
10
01
10
10
00
10
10
11
01
01
11
00
00
10
10
10
00
10
10
00
00
11
10
00
01
00
10
11
10
10
01
01
10
00
10
10
00
10
00
01
10
01
10
01
01
00
00
00
00
10
00
11
11
10
10
11
01
10
01
10
10
00
10
00
01
10
11
10
10
01
10
00
10
00
00
10
01
10
11
00
01
11
11
01
10
01
00
01
00
00
10
11
00
00
01
10
01
00
10
10
00
00
00
00
00
11
01
00
10
10
10
01
11
10
00
11
01
10
10
01
00
10
00
00
11
00
01
00
01
10
11
00
01
11
00
11
10
10
11
00
01
10
11
00
00
10
10
00
00
01
10
11
10
00
11
10
01
01
11
01
10
10
00
10
10
00
00
00
10
01
11
10
10
10
10
00
01
10
00
10
11
00
00
10
11
10
00
11
10
00
00
11
01
01
11
00
01
11
00
10
00
00
10
10
00
00
10
10
10
01
10
10
01
10
00
10
00
11
10
00
01
11
10
10
11
00
00
10
00
10
10
01
00
01
10
01
10
11
00
10
01
11
11
01
00
10
10
00
00
11
10
01
10
00
00
10
11
00
00
10
10
11
11
10
00
00
10
11
10
00
00
10
10
10
11
10
11
00
10
11
11
11
11
01
01
00
00
10
01
00
11
10
00
00
11
10
00
11
11
11
00
01
10
00
00
10
10
01
01
10
01
00
01
00
00
00
10
10
10
00
01
01
01
01
01
01
10
11
00
11
00
10
10
01
00
01
11
00
01
10
10
11
10
00
01
00
10
10
11
00
10
01
00
01
10
01
00
10
10
01
00
11
00
01
10
11
01
00
01
01
11
10
00
01
10
00
01
10
10
10
00
00
10
01
01
00
11
11
10
01
10
00
10
00
00
11
00
10
00
11
00
10
00
00
00
00
10
01
01
10
01
10
00
11
00
00
10
10
00
10
00
11
00
00
10
10
10
01
00
00
10
10
01
10
10
11
11
10
00
01
10
10
00
01
11
11
10
11
10
11
01
10
00
00
11
10
01
00
10
00
10
00
10
10
00
10
00
10
01
10
11
10
00
10
01
00
01
01
10
11
01
11
11
11
00
10
00
00
11
00
00
10
10
10
00
01
10
10
01
01
11
01
01
00
10
10
11
01
01
10
00
01
10
00
01
10
10
11
11
10
11
00
10
01
01
00
00
01
10
10
10
00
10
10
10
10
00
10
10
00
10
10
01
00
01
10
00
00
10
10
00
01
10
00
10
10
00
00
11
11
01
10
00
11
00
00
00
00
10
01
00
11
10
10
00
00
10
10
00
01
00
10
01
11
10
10
11
11
10
01
00
10
00
11
00
00
00
11
00
10
01
01
11
01
01
00
11
00
00
10
11
10
10
00
00
10
10
00
11
00
00
00
00
10
11
10
00
01
11
10
00
00
10
10
00
10
00
00
00
10
01
11
11
11
00
10
00
00
10
10
01
01
10
01
11
10
00
11
10
10
10
00
00
01
00
11
10
00
11
10
00
00
10
10
11
00
11
01
01
10
00
11
00
00
10
10
11
11
00
01
10
10
00
00
00
01
10
10
10
10
00
01
00
11
01
11
00
00
00
10
00
00
10
11
10
01
11
11
00
10
01
11
00
10
00
00
00
10
10
00
00
11
00
11
01
10
00
00
11
10
01
10
00
10
11
00
11
10
00
00
00
01
10
10
00
00
01
10
10
10
10
01
00
01
10
11
10
00
01
01
11
10
10
00
11
00
10
10
00
01
01
10
11
10
00
11
11
01
10
11
00
00
00
10
01
00
10
11
01
01
11
10
01
00
11
10
10
00
00
11
11
00
10
11
10
01
11
11
11
10
00
00
11
10
00
10
00
01
00
10
01
00
11
10
00
00
00
10
01
10
10
11
11
01
00
10
01
00
00
10
10
01
00
10
01
11
01
00
11
01
01
10
01
10
11
11
10
10
00
01
10
11
00
10
00
00
01
11
11
01
01
01
10
01
10
10
01
01
10
10
00
00
00
11
10
10
00
11
01
00
10
00
01
11
00
10
10
10
10
00
00
00
10
11
10
10
00
00
00
10
01
10
11
10
11
10
00
10
00
10
11
11
00
00
10
00
00
11
01
10
10
10
01
00
10
00
00
11
10
11
10
10
00
01
10
01
00
10
11
00
10
00
01
00
11
11
00
10
00
00
10
00
00
10
11
11
11
10
10
01
10
10
11
10
00
01
10
10
00
00
11
10
10
00
00
10
10
10
11
00
00
01
01
10
11
01
01
10
11
01
00
01
00
10
10
00
11
10
10
00
00
01
11
11
10
00
10
10
10
10
01
00
00
10
10
10
00
00
11
11
00
00
00
10
10
00
10
00
01
00
11
11
00
01
10
11
10
01
00
11
00
00
00
10
00
00
00
10
10
01
10
11
00
10
11
00
01
11
00
00
10
10
00
10
10
00
10
10
01
00
01
00
11
11
00
10
10
11
00
00
11
01
00
00
11
10
10
10
10
11
10
00
10
00
00
10
10
11
00
00
10
01
00
10
00
00
10
10
01
10
10
00
01
00
00
11
01
10
01
10
11
10
01
11
00
00
10
10
00
11
00
01
10
11
10
10
10
11
00
00
00
11
10
10
00
00
00
10
11
10
10
10
10
10
01
00
10
00
00
10
00
00
10
01
00
10
00
11
01
11
01
11
10
00
10
11
01
10
10
00
01
10
01
01
10
10
00
00
10
10
00
00
10
10
00
01
10
11
00
01
01
10
11
00
11
10
10
00
10
11
00
11
10
00
00
10
10
00
10
10
10
01
11
10
00
01
10
00
00
10
00
00
10
00
10
10
11
10
00
10
01
00
11
10
01
00
00
11
10
00
00
11
11
11
10
00
01
01
11
10
01
01
10
01
10
01
00
00
10
10
10
01
11
10
00
11
00
00
00
11
10
01
00
00
10
10
00
00
00
11
10
10
00
10
11
01
01
00
11
10
11
00
00
00
10
11
10
10
01
11
11
00
00
10
00
01
00
00
10
01
11
11
01
10
01
10
10
11
11
01
10
10
00
01
00
00
10
10
01
11
10
00
00
11
10
01
11
01
00
11
01
11
00
00
01
00
00
01
10
11
11
00
00
01
00
00
11
11
10
00
10
11
00
10
10
10
10
00
00
00
11
01
00
10
10
10
10
00
01
10
00
11
11
10
00
00
01
10
11
00
10
11
00
01
10
11
00
00
00
10
00
10
00
00
00
10
11
00
01
00
10
01
01
01
01
11
10
10
00
01
01
11
10
01
00
00
11
11
10
00
11
10
00
01
10
10
01
00
00
10
10
11
00
11
10
00
00
00
00
01
11
11
00
00
01
10
00
00
10
10
00
10
10
10
10
10
00
00
00
00
00
10
01
10
00
11
11
10
10
00
01
10
00
10
00
10
10
00
00
10
01
11
10
00
00
10
10
10
00
00
00
10
00
00
10
10
01
10
10
10
00
00
00
10
11
00
00
00
00
10
00
11
10
01
10
11
11
10
11
00
01
10
01
10
00
11
10
10
01
00
10
00
00
10
00
00
01
00
10
11
00
11
00
11
10
11
01
00
10
11
00
10
00
00
00
11
10
10
10
00
00
10
01
00
01
10
11
00
11
10
00
01
00
00
00
01
10
11
10
11
11
11
01
00
11
11
00
00
10
11
10
10
00
00
10
11
01
10
11
00
11
10
00
00
10
10
00
10
01
00
10
11
10
00
10
00
01
10
00
10
10
00
11
01
01
11
10
00
00
01
00
01
10
11
00
00
01
10
00
00
10
10
00
10
11
10
01
00
11
10
01
10
10
10
01
00
10
10
00
10
10
00
10
10
00
00
10
00
11
11
11
01
10
11
00
10
10
01
00
00
10
11
10
00
00
10
00
00
00
01
00
00
10
00
00
01
10
10
11
10
11
00
01
10
01
11
11
00
10
11
01
10
10
00
00
00
10
10
01
00
00
10
01
10
11
00
11
00
00
01
10
01
10
10
01
00
01
10
01
01
01
00
10
01
00
00
00
00
10
11
00
10
10
01
00
11
01
01
10
10
11
00
11
10
00
10
01
00
10
10
00
01
00
00
00
11
11
10
10
10
00
11
10
00
00
00
01
01
11
01
10
10
10
00
01
00
01
10
10
00
11
01
11
11
11
01
00
00
00
10
10
00
00
10
10
10
10
10
00
00
00
10
10
10
11
00
00
10
10
00
10
10
10
10
00
10
10
11
10
10
10
01
11
10
10
00
10
10
10
01
11
10
01
10
00
11
00
00
00
10
11
10
10
00
00
00
10
10
01
10
10
11
00
00
10
10
01
00
10
00
10
10
11
10
01
11
00
00
10
00
01
10
10
00
01
00
10
00
11
11
00
11
01
01
10
10
00
11
00
10
01
00
10
01
10
00
01
00
10
00
10
01
10
11
10
10
00
11
00
11
01
00
01
00
01
00
10
10
01
00
01
11
11
10
00
10
00
00
10
10
01
00
00
01
11
01
10
10
00
11
00
00
11
10
00
01
11
01
11
10
00
00
01
11
10
00
01
11
10
00
01
10
11
01
00
00
10
10
10
00
10
10
01
01
11
00
01
10
10
00
10
00
00
11
10
01
00
00
10
10
01
11
00
10
10
00
01
00
11
11
00
10
11
00
00
00
10
01
00
10
10
00
00
10
10
00
00
11
10
00
00
10
00
11
10
01
00
00
11
11
00
01
00
11
10
01
10
11
11
01
01
11
10
00
00
10
10
00
11
10
11
01
00
01
01
01
10
11
01
00
11
01
00
00
10
10
00
00
10
10
10
10
00
11
00
00
10
00
11
00
00
10
00
01
10
10
01
01
10
10
01
00
10
01
11
11
10
10
00
10
00
11
00
11
10
00
01
01
00
00
11
11
01
10
10
10
10
00
00
10
00
00
11
00
10
00
00
00
10
10
01
00
10
10
11
01
00
00
00
10
11
11
01
01
10
10
10
11
11
10
00
00
10
11
01
11
00
00
11
10
00
01
10
10
01
00
11
11
11
01
01
11
01
11
11
10
01
01
11
10
00
11
11
00
00
10
11
00
00
11
00
01
01
00
00
00
01
00
11
10
10
00
10
11
00
01
00
11
11
00
10
10
11
00
10
11
00
01
00
11
10
00
00
10
11
00
11
10
10
11
00
00
01
10
00
10
10
00
01
11
00
11
10
00
00
00
10
11
00
00
01
10
10
10
11
11
01
11
00
00
01
10
11
10
00
10
00
00
11
11
01
00
10
10
10
10
10
10
00
00
11
10
00
11
10
11
01
01
10
10
10
10
11
10
00
00
10
10
11
11
10
00
01
11
00
01
10
01
10
11
01
11
10
11
10
01
10
10
00
01
11
11
00
00
00
01
01
11
10
01
10
11
00
10
10
00
00
10
10
00
00
10
10
01
11
10
00
10
10
10
00
00
00
10
00
11
10
00
10
10
00
01
00
00
10
01
00
10
00
10
01
10
10
00
00
10
00
10
10
01
00
00
00
10
00
10
00
01
00
11
00
11
10
10
00
10
00
00
10
10
10
11
11
00
00
00
00
01
01
10
10
11
10
01
10
10
10
00
00
11
01
01
10
01
10
10
01
01
00
11
00
00
10
10
10
00
00
11
00
00
00
11
01
11
11
01
00
11
10
01
10
10
11
00
01
10
10
00
00
10
00
01
10
11
00
01
11
01
01
11
10
10
00
00
01
01
11
10
01
00
11
00
00
10
11
10
01
00
11
10
01
10
11
11
01
10
10
10
00
10
11
01
01
10
10
10
10
11
00
00
10
00
00
00
01
01
11
00
10
10
00
00
11
10
00
01
10
11
11
01
00
01
10
10
01
00
00
10
10
00
11
10
10
00
10
10
00
00
10
10
00
01
10
11
00
10
10
00
10
00
11
11
00
11
10
00
00
00
00
01
01
10
00
10
11
11
00
00
10
01
10
10
00
01
10
01
11
10
00
10
01
11
01
01
10
11
01
00
10
00
00
10
10
10
01
00
11
00
00
01
11
10
00
00
00
11
00
00
10
00
11
01
01
10
10
11
10
00
01
11
11
00
00
00
00
11
00
10
10
00
00
10
10
00
11
10
00
10
10
00
00
10
10
00
00
01
00
11
00
00
00
10
10
11
10
10
00
00
00
01
00
00
10
01
10
11
00
10
10
00
11
10
00
10
10
11
10
10
00
00
10
10
00
10
01
01
00
00
00
00
11
10
00
10
10
01
01
00
01
10
11
01
00
00
11
11
00
10
10
01
10
00
10
10
10
00
01
11
11
10
10
00
11
01
01
10
01
00
10
00
01
00
11
00
01
00
00
00
10
00
00
00
10
10
01
10
10
11
11
01
00
00
00
10
10
01
00
11
00
11
11
00
00
00
10
10
10
00
10
00
10
01
00
10
10
10
10
10
11
11
10
00
01
10
00
10
11
01
10
01
00
00
11
00
01
10
01
00
10
11
00
00
00
00
11
00
10
10
11
00
10
00
00
00
10
11
00
10
11
11
01
01
10
01
00
00
10
10
00
00
00
00
00
10
11
10
01
00
10
10
00
00
10
11
01
00
10
00
00
01
00
01
10
01
11
00
00
00
01
10
00
00
10
01
10
10
00
11
00
01
10
10
10
00
00
10
10
00
00
10
00
11
01
01
11
00
11
00
10
10
10
01
00
00
00
01
11
01
00
10
00
01
10
10
00
00
10
10
10
11
10
00
00
11
00
00
01
00
00
00
00
01
11
00
01
10
10
10
00
10
10
11
11
00
00
01
00
11
10
11
11
00
00
10
00
00
00
10
01
00
00
11
01
00
11
01
10
11
00
10
10
10
01
01
11
01
01
11
00
00
10
11
01
10
00
00
00
10
00
10
11
00
10
00
11
00
11
00
00
10
01
00
00
10
11
11
11
11
01
00
11
11
00
10
10
00
00
11
10
01
10
00
00
10
00
10
00
01
10
10
10
00
10
00
10
00
01
10
01
11
00
10
10
10
11
11
00
01
00
00
10
10
00
01
01
10
11
10
10
10
01
00
10
01
00
11
11
10
00
10
01
00
01
10
10
10
10
00
00
10
10
00
00
10
10
00
10
01
00
01
11
10
01
10
10
00
00
10
00
00
11
00
00
00
00
00
10
00
00
00
11
00
10
00
01
10
00
01
10
00
00
01
10
11
00
01
00
10
11
11
10
00
10
10
01
10
00
00
10
00
00
10
11
01
11
10
01
01
10
10
01
01
00
00
11
00
00
10
10
11
01
11
00
11
10
11
00
00
10
10
01
01
01
10
10
01
10
11
00
01
11
00
00
10
00
00
00
10
10
00
10
00
11
10
10
00
00
11
00
10
10
01
10
10
00
00
00
10
10
10
01
10
10
01
11
10
00
00
01
00
00
01
00
01
10
01
11
01
11
10
11
00
10
10
10
00
00
11
10
11
10
00
01
11
01
01
00
01
10
10
10
00
00
10
01
10
10
00
10
00
00
10
11
00
01
00
00
10
10
10
00
01
10
10
11
10
01
00
11
00
10
10
01
10
11
11
00
00
10
10
00
11
10
10
01
00
00
00
10
00
11
10
10
00
11
10
00
10
00
01
10
01
01
01
00
10
00
01
10
00
11
10
11
00
01
10
10
00
00
00
00
11
10
11
10
00
10
10
00
00
00
10
00
00
00
10
01
10
01
01
10
01
10
10
10
00
00
10
11
01
11
10
00
01
11
10
01
00
10
11
00
10
10
01
00
10
01
00
00
00
11
00
00
10
10
01
00
10
10
01
00
10
00
00
11
00
00
11
01
10
00
10
11
10
00
00
10
00
11
00
00
10
01
00
10
11
00
10
10
11
11
10
01
00
10
00
11
00
00
00
10
00
01
01
11
10
01
00
11
01
00
11
10
10
00
00
00
10
10
00
01
10
00
01
00
10
11
11
10
10
10
00
10
10
10
10
01
10
00
00
01
01
10
10
01
11
10
00
11
00
01
10
11
01
00
10
01
01
11
00
01
10
01
00
10
00
00
11
01
10
10
10
01
00
10
01
01
00
10
11
01
00
00
11
00
01
10
10
10
00
10
01
00
01
10
00
00
01
00
10
10
10
10
10
00
00
11
11
00
11
11
01
00
00
10
10
10
00
10
01
10
11
10
10
00
11
01
01
00
10
01
10
11
01
10
11
01
01
10
11
10
00
00
10
01
01
11
10
01
00
11
01
00
10
00
10
00
01
10
01
00
10
11
10
10
10
00
10
10
00
00
10
01
00
00
10
10
01
10
11
10
01
11
10
00
10
00
01
10
10
01
10
11
00
10
10
00
01
10
00
01
10
10
01
10
01
00
00
10
01
11
00
01
00
01
10
00
11
01
10
11
10
00
11
00
00
10
11
10
00
00
00
10
10
01
00
10
11
00
10
01
10
00
01
10
11
00
00
00
00
00
01
10
11
10
00
10
01
00
01
00
11
01
00
10
01
10
01
11
10
10
01
10
00
00
10
11
10
01
00
00
01
10
11
01
11
11
10
00
00
01
10
11
01
00
01
10
00
11
00
00
10
11
00
10
10
00
10
10
00
00
01
00
00
11
10
01
10
01
10
11
10
10
00
00
11
10
10
00
01
00
00
10
10
10
01
10
10
00
00
10
11
01
00
11
01
00
00
10
10
10
01
01
11
00
00
10
00
00
10
11
00
10
00
00
00
11
10
01
00
11
00
10
01
10
10
10
10
00
00
10
11
10
00
00
10
11
11
11
10
10
01
11
11
00
00
00
11
10
11
01
00
10
11
11
10
00
00
10
10
00
01
00
11
11
00
00
01
00
00
00
10
11
01
10
10
10
00
11
00
00
01
10
10
00
00
11
11
00
10
10
10
00
00
11
10
01
11
01
00
10
10
01
00
00
11
11
11
00
01
10
00
00
00
00
00
11
10
10
00
11
11
00
00
11
10
10
00
11
01
00
00
00
11
10
11
00
10
10
00
10
11
10
01
10
00
10
00
00
11
11
01
00
00
10
00
10
00
01
10
10
01
01
10
00
11
10
10
01
00
10
10
01
00
10
10
00
01
00
00
11
00
11
10
00
00
01
11
11
01
00
11
10
00
10
11
10
10
00
00
11
00
01
01
00
11
11
10
00
00
10
10
00
11
10
11
10
00
11
10
11
00
00
00
00
10
10
11
01
01
10
00
01
10
10
01
10
11
10
10
11
10
00
00
11
10
00
00
00
01
10
01
01
00
10
10
10
00
11
10
01
00
10
10
11
00
10
10
01
10
00
00
11
10
00
10
10
01
11
10
01
11
00
10
10
00
11
01
01
11
00
01
10
11
00
00
10
10
00
00
01
11
00
10
11
10
00
01
10
10
00
01
10
01
00
01
00
10
10
00
10
10
01
01
10
10
10
10
00
10
00
10
00
00
10
00
10
00
00
11
10
11
10
01
00
11
10
10
01
00
00
10
10
01
00
11
01
00
10
11
10
11
11
01
01
11
10
11
01
00
01
10
10
11
00
01
11
10
00
00
00
00
10
10
10
00
00
00
10
10
11
10
10
11
01
00
00
01
00
01
10
11
10
00
00
00
11
10
01
00
10
10
11
00
00
00
10
01
10
10
01
00
10
10
00
10
10
10
00
00
00
00
01
11
00
10
11
11
00
00
10
11
00
01
00
00
00
10
11
00
10
10
00
00
10
01
10
11
10
00
00
10
01
00
01
10
11
11
10
10
11
01
10
00
00
11
11
00
01
11
10
01
00
11
10
10
01
00
11
00
01
10
10
01
10
10
00
10
10
01
01
10
11
10
01
00
11
01
00
11
10
11
10
00
00
00
11
01
00
11
10
00
01
10
10
11
01
01
01
11
10
11
10
11
00
10
00
00
00
10
10
01
11
10
10
00
10
10
00
00
00
10
00
11
00
00
01
10
00
10
00
11
00
00
00
01
00
00
10
10
01
00
00
11
11
11
10
00
01
00
10
10
10
00
10
10
10
00
00
01
01
10
00
10
00
10
10
00
11
10
10
01
00
01
00
01
10
10
00
00
10
10
00
01
10
00
10
10
00
01
11
00
00
00
10
10
00
01
10
11
00
00
00
10
11
00
10
10
01
11
00
11
11
11
10
10
10
01
01
11
00
01
00
00
11
11
10
01
01
01
11
10
00
11
01
10
11
11
00
10
11
01
00
11
00
00
00
01
10
10
00
11
00
00
11
00
11
00
00
10
10
00
00
10
10
10
00
10
11
01
10
00
00
00
10
00
10
01
00
00
10
01
00
01
11
11
00
01
11
10
00
00
11
00
01
10
01
00
11
10
00
00
11
10
00
10
10
10
10
11
10
00
10
00
01
11
01
11
00
11
00
11
00
00
10
01
00
11
10
00
10
10
00
01
11
10
11
00
10
00
00
10
10
10
00
00
00
01
10
11
00
00
10
00
00
11
10
10
00
00
00
00
10
00
11
00
10
00
10
00
11
00
01
00
00
11
10
11
01
01
11
01
00
10
11
00
10
11
00
11
11
10
00
10
00
00
10
10
10
01
00
00
11
00
11
10
10
01
00
10
10
01
00
10
11
01
00
10
00
00
01
10
10
00
11
10
11
10
00
00
01
00
00
10
10
10
01
00
01
00
01
10
00
10
10
11
00
11
10
00
10
01
00
10
10
00
00
11
11
10
10
10
10
00
00
10
10
00
00
10
00
10
00
00
00
10
10
10
10
10
00
00
10
10
00
00
11
00
10
01
01
10
10
11
00
00
00
10
10
10
01
10
01
11
10
10
01
10
10
00
01
10
10
00
10
01
00
00
10
10
01
01
00
10
00
01
10
01
00
10
10
01
01
10
10
00
01
10
10
10
10
01
01
01
00
00
10
00
10
10
11
01
11
10
10
00
10
10
00
01
11
01
00
01
01
10
01
00
10
11
01
10
11
10
01
00
10
10
00
00
10
10
00
10
10
10
00
10
00
01
10
11
01
00
00
11
10
00
01
10
10
11
00
10
00
11
10
00
01
10
11
01
00
10
10
01
00
10
10
00
00
11
11
00
01
10
00
00
00
11
00
10
10
00
00
00
10
11
00
10
00
11
11
00
01
00
00
01
10
11
00
10
11
10
11
01
00
11
11
00
01
10
00
00
11
10
00
00
10
11
01
11
11
00
10
00
10
01
10
11
01
01
00
00
10
10
10
01
00
10
10
00
11
00
10
00
01
10
11
01
10
10
10
10
00
00
10
10
01
00
10
10
01
10
10
01
00
10
10
10
00
00
10
01
10
00
01
00
10
10
10
11
00
11
00
01
10
11
00
10
10
00
00
11
10
00
00
01
01
11
11
11
10
00
01
10
10
00
10
10
10
10
01
11
01
00
10
10
00
01
00
00
10
11
01
10
01
10
10
01
10
00
10
11
00
10
00
11
10
10
00
11
00
10
00
10
10
01
10
00
10
11
00
11
11
01
00
11
11
10
10
00
00
01
10
10
00
10
00
01
11
11
00
00
11
01
10
00
00
10
10
00
11
00
10
01
00
11
10
10
10
01
01
10
00
01
01
00
01
10
00
00
00
00
10
10
00
10
10
00
00
01
11
01
11
10
00
11
01
01
00
00
10
00
11
10
11
01
01
01
00
00
00
11
10
01
00
10
10
00
00
10
00
10
10
00
01
11
00
00
01
00
01
10
01
01
10
10
00
00
10
00
01
10
00
01
11
10
10
01
10
10
10
10
00
01
10
00
00
00
01
11
11
11
00
10
00
01
00
00
10
11
00
11
10
01
10
01
01
11
10
00
00
10
01
00
11
01
10
10
00
00
00
01
10
00
00
01
10
01
00
10
00
00
10
10
10
01
01
11
00
10
00
00
11
00
00
10
00
00
10
00
00
10
10
00
00
11
00
10
00
10
10
01
10
00
00
10
00
01
00
00
10
10
11
10
10
01
00
10
01
10
11
10
10
01
01
00
10
11
00
11
10
00
10
10
01
11
00
01
01
01
10
11
10
11
11
00
00
00
10
10
10
00
11
01
10
10
00
00
10
11
01
00
10
10
11
11
00
00
10
11
00
00
01
11
01
10
10
10
00
10
00
00
11
00
00
10
00
01
00
11
11
00
10
11
11
00
01
10
00
10
00
10
00
00
10
11
01
01
10
00
10
01
10
01
10
10
10
00
10
10
10
01
10
11
00
00
10
01
10
01
10
10
11
01
11
00
01
11
10
11
00
10
10
01
11
10
01
11
01
00
10
11
01
01
01
11
10
10
00
01
11
10
10
00
01
00
01
10
10
11
10
10
10
01
00
01
00
01
00
01
10
00
00
10
10
00
00
00
00
00
11
00
11
10
10
11
01
01
00
10
10
01
00
00
00
10
01
00
10
11
00
00
11
10
00
10
11
00
00
11
10
11
10
11
00
00
00
00
00
10
11
00
11
10
00
11
10
10
01
00
11
10
10
10
00
01
10
01
00
10
10
11
01
00
10
10
10
10
00
01
00
11
10
10
10
00
11
00
10
10
11
00
00
01
00
00
01
10
10
10
00
10
11
10
01
00
01
01
10
01
00
10
10
00
11
10
10
00
00
11
10
11
11
01
01
10
10
10
10
00
10
10
01
11
10
00
00
10
00
01
10
10
10
11
00
00
10
00
11
01
01
10
10
00
10
00
10
10
00
10
01
00
10
10
00
00
10
10
01
10
00
10
00
01
00
00
10
01
01
10
11
10
00
11
00
10
11
10
00
00
00
00
11
00
10
10
01
10
01
00
11
00
11
11
11
00
00
00
10
10
00
00
10
10
10
10
00
11
00
01
00
10
00
00
00
10
10
00
10
01
00
00
11
10
11
01
10
10
00
00
01
01
10
01
01
11
11
11
00
10
10
00
00
10
10
10
00
11
00
01
00
11
00
01
01
10
00
00
10
10
00
00
00
11
10
10
01
10
00
10
10
01
10
01
10
11
00
01
00
01
11
00
11
11
01
00
10
10
00
01
10
10
01
10
01
10
10
00
10
10
01
01
10
00
01
00
10
11
01
00
11
11
01
00
00
10
01
10
11
01
01
00
11
10
10
00
00
00
11
00
11
01
10
10
10
11
10
01
00
00
11
10
10
01
11
10
10
10
01
10
00
10
10
00
11
00
01
00
10
00
00
00
10
00
00
01
11
00
10
01
00
10
00
11
00
00
10
00
01
00
01
10
00
00
01
00
00
11
10
11
00
11
10
01
10
10
01
10
10
00
01
01
10
00
10
11
00
11
00
11
00
10
00
00
11
10
10
00
00
10
00
01
10
00
10
10
00
00
00
11
00
11
00
00
00
10
11
01
10
11
10
10
00
01
00
10
00
00
10
10
00
00
11
10
11
11
01
00
01
01
10
00
10
10
00
10
00
00
00
10
10
11
00
00
10
01
11
00
10
10
00
10
00
00
11
00
10
11
01
01
10
10
00
01
01
11
10
10
10
10
10
10
00
00
01
10
01
01
00
01
10
00
00
10
11
00
00
10
00
10
00
11
10
01
01
10
01
10
10
11
00
10
00
00
10
10
01
00
11
10
00
10
11
00
00
00
00
11
01
01
11
00
01
10
11
01
00
10
00
10
11
00
10
01
01
11
00
11
10
00
00
11
00
11
10
00
00
10
11
01
00
00
00
10
00
11
10
11
00
10
10
01
11
11
01
00
10
00
11
10
10
01
00
01
11
11
11
10
10
01
00
10
10
01
10
10
10
10
01
10
11
00
00
10
00
11
11
00
01
00
00
00
10
01
10
10
00
10
10
00
01
10
10
00
10
00
10
01
00
10
10
00
10
10
00
00
01
11
01
10
00
00
10
00
10
11
00
10
00
10
00
10
00
01
00
00
01
10
10
11
01
11
00
00
10
00
01
11
10
01
10
01
00
10
00
01
10
00
00
10
00
10
00
10
10
00
01
01
11
01
01
10
10
00
11
00
00
10
10
00
01
01
01
00
10
00
10
10
00
10
01
00
11
10
00
11
00
11
01
10
11
10
01
00
00
10
00
11
01
01
10
11
11
01
10
01
01
10
00
01
10
01
00
10
10
00
11
11
10
10
11
01
10
00
00
01
00
01
01
11
10
10
00
00
10
00
00
10
01
11
11
00
10
10
00
10
11
00
01
10
10
10
11
01
01
00
10
01
10
00
00
11
11
00
00
11
11
00
01
10
10
00
01
10
00
01
11
10
11
01
11
00
10
00
00
11
10
00
00
10
11
01
10
00
10
00
00
10
10
01
10
00
10
10
00
00
01
10
00
11
11
01
00
01
01
01
01
01
00
10
00
00
10
10
11
00
01
10
01
00
00
11
10
10
10
10
01
00
10
00
00
00
01
01
11
01
00
10
00
10
10
00
10
00
01
00
00
10
10
11
10
01
10
10
00
10
11
00
10
10
10
11
11
11
10
11
00
00
11
10
10
10
00
00
10
01
10
00
01
00
10
00
00
00
10
10
10
10
00
00
00
10
01
00
01
00
01
11
01
00
11
10
10
01
00
01
11
10
01
10
00
00
00
10
11
01
00
00
00
00
10
00
10
11
10
10
01
01
10
10
00
00
00
10
00
11
10
00
10
10
10
10
10
10
10
11
11
00
10
10
10
01
00
10
00
10
10
10
00
00
00
11
00
00
00
10
10
00
01
10
01
01
01
10
00
10
10
10
01
01
10
10
01
10
11
10
01
00
10
10
00
00
10
11
00
00
10
10
11
10
10
00
00
11
10
01
10
10
00
00
00
00
10
10
00
10
00
11
00
11
11
00
11
10
11
00
00
00
00
00
00
11
10
10
01
10
01
10
10
10
10
11
10
10
01
11
10
00
11
10
01
10
11
01
10
10
00
10
11
01
01
10
11
01
11
11
10
10
00
00
11
00
01
10
11
00
10
00
11
10
01
10
00
01
10
10
10
00
00
00
11
10
00
00
11
00
10
11
11
01
00
10
00
00
00
10
00
10
10
00
10
10
10
10
10
01
10
10
11
01
01
11
10
10
10
10
00
00
10
11
00
01
00
01
00
00
00
01
00
11
10
10
00
01
01
10
01
01
10
10
01
00
10
01
01
11
00
00
11
10
01
00
01
10
00
11
01
10
11
00
11
01
10
10
00
11
11
11
00
01
10
00
00
10
10
00
10
11
11
00
11
11
00
10
10
10
00
01
11
00
11
00
00
10
01
10
11
00
00
01
00
10
10
00
01
00
11
10
11
01
00
10
00
00
10
10
10
10
10
10
00
10
00
10
10
11
01
01
10
11
00
10
00
10
00
00
11
01
10
11
11
10
11
10
00
00
10
10
10
00
00
10
01
01
01
10
10
10
10
10
00
01
11
01
00
10
11
10
00
01
10
01
10
11
10
01
11
10
11
00
11
10
00
01
11
10
10
10
11
00
11
00
00
10
01
00
00
10
10
00
00
01
00
01
10
10
11
00
00
10
11
01
00
10
11
00
10
00
00
10
00
10
00
10
10
11
01
11
10
11
10
00
00
10
00
11
10
11
00
00
00
00
10
00
00
11
01
11
10
10
01
11
00
00
10
01
10
10
00
01
00
00
10
10
00
10
10
10
00
00
00
11
00
00
11
00
01
00
00
10
11
01
01
00
10
00
10
00
01
00
10
01
10
11
10
10
00
00
01
10
10
00
10
10
10
00
11
10
00
10
00
00
11
10
00
10
00
01
11
10
11
10
00
11
11
00
01
10
11
10
11
00
00
10
10
01
01
10
11
10
01
00
01
10
11
00
01
11
11
00
01
01
10
10
00
01
10
10
00
11
00
10
00
01
11
10
10
00
10
00
10
10
10
00
00
10
11
10
00
00
10
10
00
10
00
01
10
00
11
10
10
01
10
11
11
11
01
01
10
00
00
10
11
00
11
00
11
10
00
01
10
11
00
10
01
00
11
10
00
00
11
11
00
10
11
11
11
00
00
10
00
10
10
00
00
00
10
10
00
11
11
10
10
11
10
10
11
00
00
00
10
10
10
10
00
01
01
10
11
11
00
01
10
10
10
10
00
00
01
10
00
10
10
10
00
11
00
00
10
11
00
10
10
11
10
10
10
01
00
10
01
01
11
11
00
00
10
00
00
00
01
11
10
11
11
10
11
01
01
10
00
10
10
00
10
00
01
11
10
01
01
00
00
00
10
00
01
10
01
01
00
11
00
01
10
10
00
10
10
10
01
00
10
10
10
10
00
01
00
10
00
01
10
10
10
10
00
10
10
10
10
00
00
01
01
10
10
00
01
00
01
00
11
10
00
00
01
01
10
11
01
10
00
10
01
01
10
10
00
00
10
00
10
00
01
11
10
11
10
10
10
00
10
00
00
11
11
10
11
00
00
10
01
00
10
10
10
10
00
10
11
00
01
01
11
01
10
00
10
10
00
10
10
01
01
11
00
11
10
01
00
00
11
10
00
00
10
00
10
00
10
00
11
10
00
01
00
11
10
11
11
00
01
01
00
00
10
11
10
11
00
10
10
00
00
00
11
10
10
10
00
00
01
10
10
00
01
00
00
10
10
00
10
00
00
10
00
01
00
11
10
00
00
11
01
10
01
01
10
01
00
11
01
10
01
10
10
01
11
10
10
10
01
01
11
11
11
00
00
10
00
11
10
01
10
10
10
11
00
00
10
11
10
00
00
10
10
10
11
00
01
10
00
00
10
10
00
01
11
10
00
00
01
10
00
01
11
10
01
10
11
00
10
10
01
00
10
00
00
10
10
11
01
00
10
01
01
00
11
10
00
00
00
00
10
11
11
01
10
10
10
10
00
10
01
00
10
11
10
01
10
10
00
01
10
00
00
10
10
00
01
01
10
11
10
10
10
11
00
10
00
00
00
00
01
10
10
00
10
10
10
01
11
10
01
00
00
10
10
01
01
00
10
10
10
10
11
10
01
00
10
00
01
10
11
11
11
00
00
01
11
10
01
00
10
11
11
00
00
10
10
00
00
11
10
10
01
10
10
00
01
10
00
01
10
10
01
10
10
00
00
10
10
10
00
00
01
00
11
00
01
00
00
11
11
11
10
00
10
00
00
01
10
10
01
10
00
00
10
10
01
01
11
11
00
11
01
00
01
00
10
11
01
00
10
00
00
00
10
11
01
01
00
11
00
00
10
11
00
00
01
10
10
10
10
00
00
10
00
10
00
10
10
00
00
00
01
01
10
01
00
01
01
00
01
01
00
10
11
10
11
01
01
00
01
10
10
10
01
00
10
00
00
10
11
01
01
01
00
00
10
01
01
01
11
10
01
10
00
00
10
10
00
11
10
11
10
00
10
11
00
10
01
01
11
01
11
00
00
10
00
01
11
11
00
01
10
11
00
10
10
00
00
11
10
01
10
11
00
10
00
00
10
10
01
00
00
11
00
10
01
11
10
01
10
01
10
11
00
00
00
10
11
00
00
11
10
10
00
01
00
00
01
10
11
01
00
11
10
00
00
00
11
00
11
10
10
00
10
00
00
11
10
11
00
00
10
00
00
00
00
10
10
00
01
01
00
00
01
11
00
10
11
01
10
10
10
10
00
10
10
10
10
10
10
00
00
00
11
10
01
00
00
01
01
01
00
01
10
01
11
01
00
11
10
11
10
10
00
01
10
11
00
00
11
00
10
10
11
00
00
00
00
00
00
01
01
10
00
10
10
00
01
10
11
00
00
10
00
10
01
00
10
10
10
11
00
00
00
11
11
01
10
00
00
00
01
10
11
10
11
00
01
00
00
00
10
00
11
10
01
00
00
11
10
01
01
11
10
00
00
10
11
00
00
11
11
00
00
00
10
00
00
10
11
00
01
10
00
11
10
01
10
01
01
00
00
10
11
01
10
00
00
01
00
10
10
10
10
00
00
11
11
00
01
10
11
11
10
00
10
10
10
00
01
10
10
01
10
10
10
11
00
00
10
00
00
00
00
10
01
01
10
00
00
00
00
00
00
11
10
10
11
01
10
00
00
10
01
11
00
00
10
10
00
00
11
00
00
11
01
10
11
00
10
00
10
10
00
01
10
11
00
11
10
01
10
00
01
11
10
10
00
00
11
10
11
11
00
00
01
10
01
10
00
11
11
00
10
00
00
10
00
11
10
11
11
00
10
10
00
10
11
01
10
10
00
00
00
10
11
00
11
10
00
01
00
11
00
00
10
00
01
10
11
00
10
01
00
01
11
10
00
11
10
00
10
10
01
00
10
01
11
11
00
10
11
10
10
00
01
10
10
10
10
01
10
10
00
00
00
01
00
10
11
10
10
00
10
01
10
11
11
00
00
10
10
00
10
10
01
11
10
10
10
11
01
11
00
00
11
10
10
00
00
00
11
01
10
00
10
10
01
01
01
01
10
10
01
01
10
10
00
00
00
11
10
11
01
11
00
10
10
00
11
10
00
11
10
10
10
10
00
00
00
10
11
00
10
01
00
01
01
00
11
11
00
10
00
00
11
11
11
01
00
10
11
10
00
10
01
00
01
00
11
00
01
10
11
01
00
10
10
00
00
10
01
00
10
10
01
00
10
00
10
10
10
01
01
10
10
10
10
10
00
00
10
10
10
01
11
10
10
10
00
10
11
11
01
00
10
00
01
11
10
11
11
00
11
00
00
00
11
11
00
01
11
00
00
11
00
10
00
00
10
00
10
01
00
01
10
01
10
00
10
11
01
00
10
11
10
00
00
01
01
00
01
00
01
10
00
10
11
00
00
10
01
00
01
00
01
01
10
10
00
10
10
10
01
01
00
10
10
01
00
10
01
00
11
01
10
00
00
01
10
00
00
11
01
10
10
10
11
10
00
00
10
00
01
10
10
10
00
10
10
00
01
00
10
10
00
01
10
01
10
00
00
00
00
00
10
10
11
11
00
01
11
10
00
10
10
00
11
10
01
01
01
00
10
10
10
00
10
00
11
00
01
10
11
00
10
00
10
01
01
10
11
10
01
00
10
10
00
00
00
00
10
00
10
00
10
10
10
01
01
00
00
10
00
11
10
00
10
00
01
11
11
00
10
10
10
00
10
11
01
10
10
10
01
00
00
10
10
11
10
00
00
10
00
00
00
11
11
11
01
01
00
00
10
10
11
00
01
00
11
00
11
01
11
00
01
00
10
00
01
00
11
00
01
01
00
10
11
11
01
00
00
10
10
10
00
11
00
01
01
10
10
00
00
10
11
01
01
10
11
01
01
01
00
10
10
00
00
10
10
10
01
01
00
01
11
10
00
10
00
11
00
10
11
10
11
11
01
00
00
10
11
00
00
10
11
00
00
11
00
01
00
00
00
11
10
00
01
10
11
00
01
00
01
10
10
10
10
10
01
01
00
01
00
00
10
11
01
11
11
00
00
11
10
00
01
11
10
11
00
10
10
10
10
10
00
01
10
10
10
00
00
11
10
10
00
01
00
10
01
00
11
11
00
10
00
11
01
00
01
11
11
10
10
01
10
10
01
10
10
00
00
10
10
11
10
10
01
10
11
00
00
00
00
00
00
00
10
10
11
10
10
10
00
00
10
00
00
00
10
10
00
01
01
10
00
11
10
01
10
11
00
01
00
10
11
01
01
11
00
00
00
10
00
10
10
00
01
00
01
11
10
10
11
10
01
00
10
01
00
10
00
00
00
10
11
10
01
10
00
10
00
01
00
00
10
00
00
11
10
11
01
00
00
00
11
11
10
10
11
10
10
00
00
01
10
11
01
00
11
00
10
10
11
10
11
00
00
01
01
00
01
10
10
10
10
11
01
10
11
10
11
00
01
10
01
00
10
01
01
10
10
01
10
00
01
10
10
10
01
01
00
10
10
00
10
10
01
01
00
10
01
00
00
00
10
10
10
10
00
10
00
10
10
00
00
01
11
10
00
00
00
10
01
11
10
11
00
00
00
10
00
00
10
11
00
10
10
00
01
10
01
10
00
00
10
01
01
10
10
11
10
00
11
10
10
00
00
00
00
00
10
11
00
00
00
11
11
11
11
10
01
00
11
01
00
11
10
00
00
01
11
10
10
01
01
00
10
00
00
00
01
11
01
10
10
00
00
01
01
11
11
01
10
10
10
01
00
00
11
01
10
11
00
01
10
11
10
11
10
00
00
00
11
11
11
01
00
00
10
11
01
10
11
00
00
00
11
10
10
01
10
01
10
11
00
01
10
01
00
10
00
01
10
10
10
01
00
10
01
00
00
00
10
10
11
10
10
01
11
00
00
01
00
10
00
01
10
10
01
00
01
00
00
10
00
10
10
01
00
00
00
01
00
01
01
10
11
00
00
11
00
00
10
00
01
10
10
10
11
10
10
00
00
01
10
11
11
11
00
10
01
11
10
00
10
11
00
00
01
10
11
01
00
00
11
00
00
00
11
10
00
00
10
10
00
00
00
01
10
01
00
11
10
11
10
00
10
10
11
01
11
11
00
11
10
11
00
10
10
00
10
10
11
00
01
01
11
10
00
10
00
11
10
11
10
01
10
01
00
10
10
01
10
11
11
01
00
11
10
00
00
10
10
00
11
10
11
00
00
10
10
01
11
01
01
11
10
11
00
00
11
11
00
10
00
01
00
00
11
00
00
10
10
10
01
11
10
10
01
10
01
10
01
10
10
00
11
11
01
11
00
00
10
00
00
10
11
00
10
10
10
00
10
10
10
01
11
11
00
00
01
11
00
01
10
10
00
00
10
11
11
01
11
10
10
10
10
10
01
00
10
10
01
10
01
00
10
01
10
11
00
00
10
00
10
10
00
00
00
10
10
01
01
11
01
10
00
00
10
00
10
10
00
00
00
10
00
10
01
10
10
10
10
10
10
00
00
10
11
00
11
00
10
00
00
00
10
00
00
11
11
00
11
10
00
10
01
00
10
11
10
10
10
10
01
10
10
11
00
00
11
01
00
10
10
00
11
11
10
01
11
11
00
01
10
00
10
10
10
11
00
00
11
11
11
10
01
00
00
10
11
00
00
11
10
01
01
10
10
01
00
11
11
11
01
10
11
10
00
01
10
11
00
00
10
00
10
00
10
10
10
10
00
00
11
11
10
10
00
00
10
00
10
10
00
10
10
11
00
01
00
01
00
00
00
11
10
00
11
10
00
10
10
10
01
10
01
01
10
10
10
10
11
10
01
00
01
10
10
00
00
01
10
00
01
00
00
10
10
10
01
10
11
10
10
00
00
00
10
00
00
10
10
00
00
11
00
01
01
11
00
00
00
11
00
00
00
10
10
01
00
10
10
10
10
00
11
00
00
11
10
10
10
10
10
10
10
00
01
11
00
01
01
10
01
01
10
11
10
00
00
01
10
00
00
10
10
01
11
10
01
00
11
00
01
00
10
10
00
10
10
10
01
00
00
10
10
11
00
01
00
10
11
01
00
00
10
10
10
00
00
10
11
00
00
10
10
01
01
11
10
10
10
10
10
01
00
11
10
00
10
11
10
11
00
00
11
00
00
00
00
11
00
10
10
00
00
10
10
01
00
00
10
10
10
00
00
11
11
10
00
10
11
00
11
11
00
10
10
01
00
10
10
10
11
01
10
00
11
00
00
00
10
00
00
00
10
01
00
11
00
01
11
00
11
00
10
11
11
01
00
11
00
10
10
01
00
10
00
00
10
11
00
01
00
00
11
11
10
11
00
10
00
01
00
10
11
11
11
01
00
00
00
10
11
10
00
10
00
10
10
00
10
00
01
11
10
00
00
11
11
00
11
00
01
00
01
11
11
00
11
00
00
10
00
10
11
01
01
10
11
01
10
01
10
10
11
10
01
01
00
10
00
00
10
00
00
10
11
10
11
00
10
10
00
01
10
10
00
10
11
10
01
00
01
01
10
10
00
10
11
10
00
11
01
01
11
10
00
00
10
10
00
01
11
10
10
10
00
00
11
10
00
10
10
00
10
01
01
01
10
00
00
10
11
11
00
10
10
01
00
11
00
00
11
10
10
00
10
11
10
00
00
00
11
00
11
10
10
01
00
01
11
11
11
10
00
00
01
11
00
10
10
10
11
00
00
01
11
00
00
10
01
01
00
00
10
10
10
01
11
00
00
00
10
11
01
11
01
00
00
00
01
10
10
00
00
00
10
10
00
00
00
00
01
10
01
10
00
10
00
10
11
00
01
00
10
01
10
10
10
01
00
10
00
01
10
10
00
00
10
10
00
10
10
01
01
10
10
00
11
00
01
01
10
10
00
00
00
10
01
10
10
00
11
01
10
10
11
10
10
11
00
00
11
10
01
01
10
10
11
01
00
01
11
01
00
00
10
11
01
01
11
01
00
01
01
11
10
01
01
10
10
00
11
11
00
01
10
00
01
11
00
01
10
10
01
00
00
11
10
00
10
10
11
01
00
10
10
00
00
00
00
00
11
10
11
00
11
00
11
01
11
00
11
00
10
01
00
11
10
01
01
10
01
00
10
10
11
00
00
00
10
00
01
01
10
11
01
00
10
11
10
10
00
00
00
00
00
10
10
01
00
10
01
10
00
10
10
00
01
10
00
10
00
10
11
01
01
11
10
00
10
10
01
01
11
10
11
11
00
10
00
00
11
11
01
10
00
00
00
00
10
01
10
10
00
00
00
00
00
01
01
00
11
10
10
10
10
00
01
10
10
01
00
00
01
10
11
01
01
00
11
10
11
10
01
00
10
00
00
10
10
00
00
00
11
00
01
00
00
10
00
11
10
10
00
11
00
01
00
10
10
00
11
00
10
10
00
01
00
10
11
11
00
10
00
00
10
00
00
10
10
11
11
00
01
01
11
01
00
10
01
00
11
00
01
10
01
00
10
10
00
10
10
10
01
10
01
00
01
00
10
00
01
01
00
00
11
10
01
10
10
00
00
00
10
00
00
11
11
01
11
01
01
10
00
11
11
00
10
01
00
10
11
10
11
10
00
00
00
10
11
10
00
00
10
01
10
10
10
10
00
00
00
10
00
10
00
10
10
01
00
00
11
01
10
10
01
00
10
10
01
00
00
10
11
10
11
10
10
00
00
10
00
00
11
10
10
00
00
00
00
11
10
10
00
00
10
00
00
10
10
10
00
00
01
10
10
00
10
00
10
01
10
10
01
00
11
01
11
10
10
00
00
00
11
10
10
00
01
11
01
10
01
00
01
11
01
01
11
00
11
00
01
10
10
00
01
10
11
00
10
01
10
11
11
01
01
00
11
10
11
10
00
10
11
00
01
00
10
10
10
01
00
10
10
11
00
11
00
00
10
10
00
11
10
10
11
00
11
11
00
00
11
00
10
00
00
11
11
10
01
00
10
11
10
00
00
10
10
11
01
10
00
00
01
11
11
11
00
10
00
10
11
00
01
11
11
00
01
01
11
11
10
10
00
10
00
11
10
00
10
11
00
11
10
11
10
10
00
01
11
00
10
10
00
01
01
10
10
00
00
10
10
11
11
00
00
10
11
00
10
10
10
00
01
01
01
00
11
10
01
01
00
00
10
10
00
00
10
10
10
00
10
11
00
01
01
11
11
01
01
00
11
10
01
10
11
01
00
11
10
10
01
11
01
00
01
00
01
10
00
10
10
10
01
10
00
00
00
10
01
00
10
00
10
01
00
00
11
00
00
10
00
00
00
11
01
10
10
01
10
10
00
00
00
11
10
11
11
00
00
00
11
01
00
11
11
01
00
11
00
10
10
00
00
10
10
10
10
01
10
10
01
01
01
10
10
11
10
01
01
01
10
11
00
11
10
10
00
01
00
10
11
11
10
11
00
00
10
10
00
00
01
10
01
10
00
10
10
00
00
00
10
10
01
00
01
01
10
01
11
00
00
11
01
11
10
00
10
10
10
00
00
10
10
10
10
01
10
01
00
10
10
10
00
10
10
01
11
11
10
00
00
10
10
01
00
11
00
11
10
01
00
01
00
10
01
01
10
10
11
00
10
00
00
01
00
00
10
10
00
10
11
01
11
11
00
10
11
10
00
01
00
10
10
00
00
00
11
10
10
00
00
11
10
00
00
01
10
11
00
10
01
11
10
11
01
10
10
11
10
00
00
10
11
01
11
10
00
00
00
00
10
11
00
00
00
10
00
01
11
10
10
10
00
00
00
01
11
10
10
00
10
00
00
10
01
00
10
00
10
11
00
00
10
10
00
00
00
11
10
10
01
01
01
11
01
00
11
01
00
00
11
00
11
11
00
00
10
10
01
01
10
01
00
10
01
11
11
11
00
00
10
10
11
10
00
01
00
10
11
11
10
01
10
00
10
00
01
10
10
00
10
10
00
10
10
11
00
01
10
10
10
10
00
01
01
10
00
10
10
00
11
10
00
10
10
00
00
11
10
01
10
00
00
10
10
01
00
10
01
00
10
10
11
11
00
10
00
11
10
00
00
00
11
00
01
11
11
10
01
10
10
10
11
00
00
10
10
00
00
11
01
11
11
10
10
11
11
11
01
00
10
10
10
01
01
10
10
00
01
10
01
10
00
01
10
10
10
01
10
00
00
11
10
10
10
01
01
11
11
11
00
11
00
00
00
10
11
10
01
00
10
10
01
00
00
00
00
00
10
10
11
00
01
10
00
00
00
10
10
10
10
10
10
10
11
00
11
10
01
00
10
10
10
10
00
10
11
00
11
10
01
01
00
11
00
10
10
00
10
10
00
10
10
10
00
00
01
10
10
00
01
00
10
10
11
00
00
11
10
10
00
10
10
00
10
11
01
00
10
00
10
00
01
11
11
01
11
11
10
10
00
10
10
00
01
11
11
10
01
01
10
10
11
00
00
00
10
10
00
00
10
11
00
11
00
10
00
00
10
11
11
01
10
00
10
00
10
11
00
00
11
10
00
00
00
10
00
01
10
11
00
10
10
00
11
00
01
11
10
10
10
00
00
10
01
01
11
00
01
01
10
10
10
00
01
11
10
01
00
10
10
00
01
10
11
00
11
10
00
00
00
01
10
00
00
10
11
01
11
00
00
01
01
00
00
10
10
00
10
11
00
10
01
10
10
00
10
00
01
11
00
11
00
01
11
00
00
00
10
01
00
01
11
10
01
00
10
10
00
01
10
01
11
10
10
11
11
01
00
11
01
10
11
00
10
10
10
01
00
11
00
01
10
00
10
00
10
10
11
11
01
00
10
10
00
01
00
00
10
00
10
10
00
10
10
10
00
00
11
10
00
10
00
00
01
11
11
00
00
10
00
11
00
10
11
00
00
01
10
10
00
00
10
00
10
01
00
00
01
10
01
01
10
10
00
10
11
10
00
00
00
01
00
00
00
11
11
10
11
10
00
10
11
01
00
11
10
11
10
00
00
00
11
01
11
11
11
10
10
01
00
10
11
01
10
11
00
00
01
10
01
10
10
10
00
10
10
10
00
00
00
01
00
00
01
11
00
00
11
00
01
01
10
00
00
11
10
01
00
00
01
00
01
11
11
11
10
00
00
10
10
11
00
01
00
10
00
01
00
10
10
01
11
00
00
01
00
11
11
00
11
10
01
10
11
00
01
10
01
00
11
10
00
01
10
11
10
01
00
00
01
01
10
10
10
10
00
10
10
00
10
11
00
01
00
11
10
10
10
00
01
10
00
00
00
10
00
00
10
10
10
00
10
01
11
10
01
00
00
10
00
01
10
01
00
01
01
01
01
11
10
00
01
00
01
10
11
10
10
01
11
01
01
10
10
01
10
01
00
10
10
00
00
01
11
10
11
01
10
10
00
01
00
10
10
11
10
10
11
01
11
10
01
00
10
11
10
11
11
00
00
10
00
00
00
10
11
10
01
10
01
11
00
00
10
10
00
10
11
01
00
10
10
10
10
01
00
11
10
01
10
00
01
10
01
00
00
11
10
00
01
11
01
11
11
01
01
11
11
00
10
10
11
01
00
10
00
11
10
01
10
01
00
10
10
01
10
00
10
00
00
10
10
10
10
01
00
11
00
10
01
11
00
10
00
00
01
01
00
10
00
00
10
00
10
10
01
00
10
10
10
10
10
01
00
11
10
00
01
00
11
00
00
10
00
00
00
10
11
10
10
00
01
10
10
10
11
11
00
10
00
10
10
00
10
00
01
11
01
01
11
01
10
00
01
10
00
00
10
10
11
00
10
01
01
10
11
10
00
10
00
00
00
10
10
00
10
11
10
11
00
01
10
01
10
10
00
11
11
00
00
00
00
01
10
11
10
00
11
11
01
10
00
00
11
00
01
10
10
10
00
10
11
11
01
00
00
11
00
10
00
00
10
10
00
00
01
00
10
10
10
00
10
11
01
01
00
00
01
11
11
00
01
10
01
10
11
00
00
11
10
01
00
11
00
10
10
01
10
11
01
01
00
01
10
01
10
10
10
01
10
00
10
11
00
00
11
00
00
11
00
01
10
10
10
00
00
00
00
10
10
01
01
01
10
00
11
10
10
10
00
00
10
10
00
10
00
01
10
00
10
11
01
00
01
00
10
00
10
10
10
00
01
10
10
10
01
00
10
00
01
00
00
11
10
10
11
01
11
01
01
10
10
00
00
11
10
01
00
10
00
00
10
01
10
10
00
01
01
00
10
10
00
01
00
01
00
00
10
10
00
11
10
01
01
01
00
00
11
11
10
01
10
10
00
00
10
10
10
00
00
10
00
10
11
00
10
10
10
11
11
00
10
01
01
10
10
11
00
10
00
01
00
10
10
01
00
10
00
01
10
10
01
00
10
10
11
10
10
10
00
00
10
10
00
10
10
00
11
01
11
10
00
00
00
00
11
10
10
11
00
00
00
11
10
11
01
00
00
10
00
01
11
10
10
10
10
00
00
10
10
10
00
01
10
00
10
00
00
11
10
10
01
00
00
10
01
00
00
01
00
00
00
10
11
10
00
11
10
11
01
10
00
10
01
00
00
00
11
00
00
10
11
00
00
10
00
00
00
10
10
00
00
00
10
10
00
01
11
10
00
00
00
11
10
11
00
00
10
10
11
11
00
01
10
11
01
00
01
00
01
11
11
00
11
11
01
10
10
01
00
00
10
10
01
00
00
10
10
11
00
01
10
10
00
11
10
00
11
10
10
10
11
00
00
10
11
01
01
11
01
10
01
00
11
10
00
01
10
10
00
11
10
10
00
10
00
10
11
10
10
01
00
01
00
00
11
01
00
10
11
00
01
00
00
10
00
00
01
01
11
11
11
11
10
01
00
10
10
10
10
00
11
10
01
11
00
00
01
10
10
00
01
00
10
11
11
11
11
10
00
00
01
10
00
10
10
01
01
10
11
11
00
01
10
00
00
10
10
10
11
11
01
00
10
11
10
10
10
10
00
00
10
11
10
00
11
00
00
00
00
11
10
01
00
10
10
01
00
11
10
00
10
11
10
10
00
01
11
00
00
10
00
00
00
11
10
01
00
01
00
10
10
10
00
00
10
10
00
11
00
00
11
11
11
00
10
01
00
10
10
01
00
10
00
11
10
01
11
10
00
01
10
10
00
00
10
01
01
00
00
00
00
00
01
10
11
01
00
01
01
10
10
11
00
11
10
01
01
11
11
10
10
00
10
00
10
11
00
10
00
11
10
01
10
11
01
01
00
11
11
01
11
01
11
00
00
10
10
00
00
00
11
10
10
10
01
00
10
11
01
00
00
00
10
10
10
10
00
00
00
10
11
00
00
10
00
01
00
00
10
00
10
10
10
00
00
00
11
10
01
10
00
00
10
00
11
00
00
11
00
10
01
01
11
11
10
00
01
11
01
00
01
11
00
00
11
10
00
00
11
00
11
11
00
00
00
10
10
11
00
00
01
10
10
01
00
00
00
11
10
01
00
10
11
00
00
00
00
11
10
00
01
00
10
00
00
10
10
10
11
11
01
00
10
00
11
00
00
00
10
01
00
10
00
01
10
00
01
11
00
00
11
10
00
10
00
00
10
10
11
10
00
00
00
00
00
10
01
11
00
00
10
00
00
00
10
10
00
01
01
11
10
10
10
00
10
00
01
10
00
00
10
00
10
10
10
10
00
10
11
01
01
10
11
10
10
00
10
11
01
10
10
10
10
00
00
11
00
00
00
11
11
01
00
01
11
00
11
00
10
10
10
00
01
10
11
01
11
01
00
11
10
11
00
10
00
00
00
10
10
00
11
01
10
10
10
10
00
11
01
00
01
10
11
10
01
00
00
10
11
11
10
10
01
00
00
01
11
10
10
01
01
01
00
11
00
00
10
01
00
11
11
10
10
00
10
00
00
01
10
10
01
11
10
10
00
10
11
11
11
00
00
00
10
10
01
10
10
00
11
11
10
11
00
00
10
10
10
00
01
10
00
01
11
10
11
10
00
01
10
00
00
00
10
10
00
10
00
10
01
01
11
10
00
00
10
01
01
10
10
10
10
00
00
00
01
11
00
00
10
10
01
01
10
01
10
11
10
00
10
10
01
10
11
00
11
10
00
00
00
01
11
11
00
00
01
00
00
11
11
01
10
11
01
00
01
10
11
00
00
10
10
00
00
00
10
10
11
00
11
10
00
11
01
11
10
10
00
10
10
01
00
10
00
10
11
11
00
00
11
10
01
00
00
00
10
10
01
10
00
01
00
00
10
00
01
01
11
10
00
10
11
01
10
00
00
01
10
00
10
10
00
00
11
10
00
01
00
10
10
00
11
10
10
00
00
10
00
01
00
00
10
10
00
11
10
10
10
00
00
00
01
10
11
11
10
00
00
11
00
11
10
01
00
10
00
00
01
10
00
11
00
01
00
10
00
10
11
11
01
11
00
10
10
10
11
00
00
11
00
10
11
00
11
10
00
11
10
00
00
11
00
10
00
01
11
11
00
00
00
11
10
11
10
01
00
11
11
01
01
11
11
00
00
10
01
01
10
10
01
00
10
11
10
11
10
10
10
01
11
01
00
10
10
01
00
00
00
11
10
10
10
11
11
10
00
00
11
00
10
00
00
00
00
10
10
00
00
10
00
10
10
10
00
10
11
00
00
10
10
01
00
11
00
00
10
00
00
00
10
10
00
11
10
00
10
10
10
10
10
11
00
01
00
10
11
10
10
11
10
00
00
00
11
10
00
00
01
10
01
01
01
00
10
00
00
10
11
01
11
10
10
01
00
01
11
10
00
01
00
10
10
01
10
10
01
01
00
00
11
10
11
01
00
00
11
11
10
01
00
10
10
10
01
00
00
01
10
11
10
00
00
10
11
10
00
00
11
10
10
00
01
01
10
11
11
11
10
10
01
10
10
00
00
10
01
11
11
10
00
00
01
10
10
00
10
00
10
11
00
10
10
10
10
00
10
10
00
00
10
00
00
01
11
01
10
00
10
01
00
11
01
00
10
10
10
00
00
10
00
11
10
10
00
00
00
10
10
10
10
01
01
01
10
01
10
00
10
10
00
00
11
10
00
00
11
00
01
10
00
10
11
10
11
10
00
01
10
00
00
10
10
10
10
10
10
00
10
11
10
10
10
00
01
01
10
10
00
01
01
00
11
10
10
10
01
10
10
01
00
00
10
01
00
00
10
00
01
10
00
10
10
10
10
00
11
01
01
00
00
11
00
01
01
11
10
11
00
00
10
01
00
10
00
00
01
10
10
10
00
11
00
00
00
10
00
10
10
00
10
10
00
01
01
10
00
10
00
01
00
10
11
10
00
00
10
10
00
01
10
10
01
00
11
00
11
01
00
10
01
10
11
10
01
10
10
00
01
00
00
10
10
00
01
10
01
01
11
10
10
10
01
10
00
01
10
00
10
10
10
01
10
10
00
10
00
00
10
10
11
00
10
11
01
11
00
10
10
11
11
00
01
10
01
00
01
11
01
11
00
00
10
00
00
00
10
10
10
10
01
00
01
11
00
01
00
11
01
00
11
10
10
00
00
10
01
10
10
00
00
00
00
10
00
01
01
00
10
11
00
00
11
00
01
00
01
10
01
01
11
00
01
00
10
10
11
01
10
00
01
10
01
10
11
11
00
00
00
10
10
00
00
11
00
00
01
11
10
01
10
10
01
11
00
11
01
00
01
00
01
10
10
00
00
11
00
00
00
11
10
10
11
10
10
00
00
01
00
10
10
01
10
10
11
10
00
01
10
00
00
01
01
10
11
10
01
00
11
10
11
00
01
01
11
10
11
01
00
10
01
01
11
01
01
10
10
00
11
00
10
00
00
01
11
00
11
00
00
00
10
10
00
00
10
00
00
01
10
00
01
00
11
00
11
00
11
00
10
10
01
10
11
10
01
10
00
00
00
11
10
11
00
11
00
00
11
10
10
00
01
11
00
00
00
10
10
11
10
11
00
00
10
00
00
10
10
00
00
00
10
11
10
11
00
00
10
11
00
01
00
10
01
10
10
10
00
01
00
00
00
10
00
10
00
11
11
00
00
10
10
01
01
11
00
00
10
11
10
00
00
10
01
00
10
00
10
11
10
10
01
01
10
10
01
00
10
10
00
00
10
10
10
00
11
10
10
00
00
00
00
01
10
00
00
00
00
00
01
00
10
10
10
01
10
11
01
00
10
10
10
00
11
10
01
01
01
00
01
11
00
01
00
00
11
10
00
11
01
10
01
10
01
11
11
01
00
10
10
10
01
10
01
00
10
01
10
00
00
11
01
10
10
10
10
01
00
11
00
11
00
00
11
00
01
01
00
10
01
10
10
00
00
10
00
11
00
00
00
01
01
10
11
01
01
01
01
10
10
00
01
00
10
10
00
10
00
10
01
10
10
11
01
01
10
11
11
01
00
10
10
10
11
00
11
11
01
10
10
00
10
11
00
01
01
00
00
00
10
10
00
10
10
11
00
00
11
10
10
00
01
11
01
10
00
11
11
00
00
11
10
01
00
00
00
11
01
01
10
10
11
10
00
01
01
10
00
00
01
11
10
00
11
00
00
01
10
10
10
00
00
00
10
01
10
01
00
11
00
10
10
00
10
01
10
10
10
10
00
11
00
11
10
01
00
10
10
10
10
00
00
00
10
01
11
11
10
10
11
00
10
00
00
10
10
00
00
00
10
00
00
00
00
10
10
00
01
10
11
11
11
10
00
10
00
11
00
00
10
10
00
11
00
10
11
00
11
00
01
10
00
01
10
01
00
10
00
00
01
11
10
10
01
00
10
00
00
00
00
10
10
11
10
10
11
00
10
01
10
01
11
01
01
10
10
01
10
00
00
10
10
00
00
00
10
01
01
00
00
01
00
10
00
10
01
01
00
10
10
00
00
01
00
11
10
00
01
00
00
10
10
01
01
10
10
00
00
11
01
10
10
00
10
01
00
11
01
00
00
00
00
00
10
00
00
11
10
00
10
10
11
00
10
10
00
01
00
00
11
11
01
10
00
00
10
11
00
01
10
10
01
01
11
00
00
11
10
00
11
11
01
00
00
00
00
10
00
01
10
01
01
00
01
10
10
10
10
00
00
10
10
01
00
01
00
11
10
01
00
11
00
10
10
00
10
11
10
01
01
11
11
10
01
00
10
10
10
00
00
11
11
10
01
11
11
01
01
01
00
01
10
01
01
11
10
00
00
10
10
01
01
11
00
00
00
10
01
00
00
10
11
10
10
10
01
00
11
10
10
00
01
00
11
11
00
10
11
10
11
00
01
11
00
10
10
00
00
10
10
10
10
11
11
00
00
00
10
00
00
00
10
00
10
01
10
11
10
00
01
00
10
11
11
00
10
10
11
10
01
11
00
01
00
01
10
11
10
00
00
10
11
00
10
10
00
00
00
10
10
10
00
00
10
10
00
10
10
00
00
10
10
10
01
10
10
11
11
10
10
00
10
10
00
00
01
10
11
10
11
00
00
10
10
11
00
00
11
00
10
10
01
11
01
00
10
10
00
11
11
00
11
11
01
00
00
10
01
10
10
00
00
00
10
11
00
00
10
11
10
11
00
10
00
11
11
11
00
00
00
10
10
00
11
10
00
00
01
01
01
00
10
00
00
01
10
10
01
10
11
00
10
10
11
01
00
01
10
10
01
11
11
00
00
10
10
10
00
10
10
00
00
11
10
10
00
11
00
00
10
00
10
01
11
10
10
00
10
00
00
01
11
10
00
00
10
00
11
00
00
10
11
10
01
10
10
10
01
00
00
00
10
10
01
10
01
10
00
01
10
10
10
11
01
00
10
11
10
10
00
00
00
10
10
11
10
00
10
10
10
10
10
10
00
00
10
11
00
11
10
11
00
00
10
00
01
01
01
10
01
00
00
11
10
10
00
10
11
00
00
11
10
11
10
10
01
00
11
10
00
01
01
00
00
00
10
01
10
10
00
00
11
10
00
01
10
10
01
10
01
11
00
11
10
11
10
11
10
01
01
11
11
10
01
00
01
10
01
10
11
10
00
10
00
00
11
01
01
11
01
10
10
00
00
11
10
01
00
11
10
00
11
11
11
11
00
01
01
10
00
01
10
10
01
10
01
00
10
10
00
00
00
00
10
01
00
00
00
00
10
11
11
10
10
00
10
00
10
00
01
10
00
01
01
10
01
00
11
10
00
00
01
00
10
10
00
01
11
01
11
11
00
10
10
10
01
00
11
10
00
11
00
10
10
10
00
10
10
00
11
11
00
10
10
11
01
10
10
01
11
10
10
01
00
11
10
11
10
11
00
11
00
01
00
10
10
00
10
10
11
00
00
00
00
00
10
00
10
00
11
11
00
01
00
10
00
00
00
10
11
00
01
11
00
00
01
00
10
00
10
00
10
10
00
11
00
10
00
01
10
00
10
10
00
00
00
10
10
11
00
11
11
01
00
11
00
01
10
11
00
01
10
10
01
10
00
00
10
10
00
00
00
11
10
01
00
01
10
11
01
00
01
11
10
10
01
01
01
10
10
10
00
11
10
11
01
11
01
10
10
01
01
10
11
01
10
01
00
00
00
00
10
00
01
10
00
00
00
10
11
01
11
10
00
11
10
00
10
01
00
00
10
10
00
10
10
01
01
00
00
10
01
00
10
00
10
10
00
10
01
00
10
00
00
01
11
10
01
11
10
00
01
10
10
10
01
11
10
00
10
00
01
00
11
11
00
01
00
10
10
11
00
01
10
10
10
10
00
00
10
11
10
11
01
00
11
11
01
01
10
00
10
10
10
10
00
10
10
00
01
10
00
11
10
01
00
01
00
00
11
11
00
11
01
00
00
11
10
00
01
11
11
00
00
01
00
00
00
10
00
10
10
10
00
10
10
01
00
01
00
10
11
10
00
00
10
10
00
10
00
00
10
10
00
00
01
11
10
01
11
10
10
10
10
10
00
01
11
01
01
10
10
00
01
10
00
00
11
00
00
10
10
00
00
10
10
10
01
01
11
11
10
01
00
00
01
00
11
10
11
00
00
11
00
00
10
11
01
10
10
00
10
10
00
00
10
11
11
00
00
10
10
00
01
10
00
10
00
11
11
00
11
00
11
11
10
11
00
00
10
00
00
00
10
11
00
00
10
11
10
10
10
10
10
00
10
10
10
00
00
00
11
10
10
01
00
11
01
00
11
10
00
00
10
11
00
11
00
10
11
00
00
11
11
10
11
10
01
01
01
10
10
01
00
11
00
11
10
10
10
11
10
01
11
01
10
01
11
10
01
00
10
10
00
00
10
11
10
11
11
01
00
00
00
11
10
00
00
00
00
10
01
11
00
10
00
10
00
01
00
00
10
10
10
10
00
10
01
11
00
11
10
01
01
00
10
10
00
01
10
11
00
10
11
00
00
11
00
01
11
10
11
10
00
00
01
11
10
10
10
00
10
00
00
10
11
10
10
01
10
00
00
11
01
11
10
11
10
00
10
00
00
10
00
00
10
10
11
00
00
10
11
10
01
10
11
11
01
00
11
00
00
00
00
00
10
00
01
01
11
10
00
11
00
10
00
10
11
00
10
11
01
00
11
10
00
11
10
01
00
10
11
00
01
01
00
10
00
11
01
10
10
00
00
11
10
11
00
00
11
00
11
11
10
01
10
01
01
01
10
11
01
00
10
10
10
00
10
11
00
01
10
10
10
00
10
00
00
10
01
00
00
10
10
01
10
10
01
10
00
00
11
11
10
10
00
00
11
10
00
10
01
00
00
00
10
00
11
10
00
00
10
10
00
01
11
10
00
10
10
01
01
10
11
00
00
10
00
01
11
00
00
10
11
11
00
00
00
00
10
11
11
10
00
00
11
00
00
01
11
10
00
00
01
00
11
00
01
00
11
10
00
10
10
10
01
00
10
10
00
00
01
00
00
10
10
10
10
10
01
10
11
01
00
00
10
10
00
10
10
00
00
00
10
00
00
10
10
10
11
10
01
00
00
00
00
10
00
00
00
00
10
00
10
00
00
11
01
01
11
00
00
10
01
01
00
00
10
10
01
00
10
01
00
01
11
00
00
10
10
00
01
10
10
10
00
11
00
10
10
10
10
11
01
00
11
00
10
11
01
01
00
00
10
00
00
00
00
10
01
11
11
01
00
00
10
01
01
10
10
00
10
00
01
10
01
10
10
01
10
00
11
01
00
01
00
00
00
00
10
11
10
10
00
01
10
00
10
10
10
10
10
00
00
10
00
11
10
10
11
11
00
11
00
10
11
10
00
10
10
00
10
10
00
00
10
10
00
11
10
01
00
11
01
10
00
11
01
10
00
00
01
01
11
00
10
00
10
00
01
10
10
10
10
00
01
00
00
01
10
10
10
10
00
00
10
00
00
00
10
11
01
00
11
00
00
00
01
00
01
00
10
00
11
10
10
00
01
10
00
00
11
00
10
10
00
00
10
11
11
00
00
00
01
00
00
10
10
01
00
10
01
01
01
01
00
11
10
10
01
00
10
10
00
00
01
00
11
10
10
10
10
10
01
00
10
00
00
11
01
00
00
11
10
10
10
10
00
00
11
00
00
00
00
00
00
00
10
10
11
10
10
11
01
11
10
11
10
11
01
01
00
01
00
10
11
00
01
10
00
10
10
00
00
00
11
00
01
10
10
01
10
00
01
01
11
00
01
11
10
00
00
00
11
10
00
01
10
10
00
00
10
11
11
01
00
10
01
10
01
11
01
00
10
10
00
11
11
10
00
01
01
11
00
00
01
00
10
10
11
00
00
00
00
00
10
00
10
10
01
00
00
10
00
01
10
11
11
10
00
10
10
01
01
10
01
01
10
00
10
10
10
00
01
00
10
10
00
10
00
11
11
10
00
10
01
00
00
10
10
01
10
00
01
10
00
01
11
10
01
00
00
10
11
10
00
01
11
10
01
10
10
11
00
00
10
01
01
00
11
00
00
10
10
00
00
00
10
00
00
00
11
00
11
01
10
11
00
10
10
10
00
10
11
01
01
01
10
11
10
11
00
01
10
01
00
00
11
10
00
01
00
01
10
10
00
01
10
10
00
01
10
10
00
10
10
11
11
01
00
10
00
11
10
00
00
10
10
00
11
10
00
01
00
00
00
00
11
01
10
01
10
00
00
11
10
01
00
10
10
10
10
11
01
00
00
00
10
10
10
10
00
00
10
00
00
01
00
00
01
01
01
11
00
01
10
10
00
01
10
10
10
11
00
11
10
00
11
10
10
01
00
10
11
00
00
10
10
00
11
11
01
10
01
11
01
11
00
11
10
00
00
10
10
01
11
10
00
10
00
00
10
10
00
11
01
00
10
00
10
00
10
10
01
00
00
10
10
01
00
10
10
10
01
00
01
00
10
10
10
10
10
10
00
01
10
10
10
10
11
11
00
10
11
10
11
00
11
10
00
10
00
10
10
00
00
10
00
00
01
10
11
01
01
01
10
10
10
00
00
00
11
00
01
11
11
10
01
10
11
00
11
10
01
00
01
10
10
10
00
11
10
11
00
01
00
11
00
10
10
01
10
00
10
10
11
10
10
00
00
10
00
00
00
00
01
11
10
11
10
01
01
11
10
10
00
10
10
00
01
01
00
10
00
10
10
01
10
10
00
00
10
00
10
01
00
10
00
11
11
11
10
00
10
11
01
01
11
11
10
11
00
00
10
01
10
11
01
00
10
00
00
11
00
00
01
11
11
01
00
00
10
10
10
00
00
11
10
11
01
11
00
11
01
01
01
11
01
00
10
00
10
11
11
01
00
11
10
00
00
11
11
00
00
00
10
11
10
01
10
11
00
10
00
00
01
10
11
00
00
11
10
11
10
00
11
00
00
01
00
10
01
10
00
01
00
11
00
11
10
10
11
00
00
11
11
10
10
00
11
01
00
00
10
11
01
10
11
10
00
10
00
10
11
00
00
01
11
10
10
00
10
11
00
11
01
00
10
11
00
10
01
00
00
00
00
00
00
00
10
00
01
00
10
10
11
11
00
11
10
10
10
10
00
00
01
10
01
00
01
00
00
00
11
10
10
00
10
01
00
00
10
00
01
00
01
10
11
01
01
01
10
10
01
00
10
10
10
00
00
10
11
00
01
00
00
10
00
10
10
00
00
10
00
10
00
10
10
00
11
00
10
11
01
10
00
11
10
00
10
11
00
00
00
01
01
10
10
01
10
01
00
10
10
10
11
10
11
00
10
11
11
10
10
11
01
01
10
00
00
01
00
10
10
00
00
11
00
01
10
01
11
10
01
10
11
00
01
10
00
01
00
00
10
11
01
10
11
11
10
10
00
00
00
00
10
11
01
00
10
11
11
01
10
10
00
11
01
10
11
00
01
01
11
10
11
10
00
00
01
10
11
00
00
10
00
01
11
10
00
00
01
11
00
10
10
00
10
11
10
11
11
00
00
10
11
10
01
00
10
00
00
01
01
10
11
00
10
11
01
00
01
01
00
00
10
10
01
10
10
10
10
00
00
01
00
10
01
11
11
10
11
11
10
00
10
00
11
10
01
01
11
11
10
00
00
00
10
00
10
10
01
00
01
10
11
00
01
10
10
10
01
00
10
10
00
00
11
10
01
11
01
10
11
11
10
01
01
00
01
10
11
01
01
10
11
01
00
10
11
00
01
10
11
10
00
10
01
00
10
10
00
11
01
00
10
10
00
00
00
11
10
00
01
10
10
00
00
10
00
01
00
01
10
00
00
00
10
00
00
10
01
11
11
01
00
11
11
10
00
01
10
11
11
00
10
10
10
11
11
00
00
10
01
00
00
10
00
11
00
00
11
10
11
00
01
10
00
01
01
00
10
00
00
01
11
01
10
10
10
01
11
01
00
10
00
00
10
10
00
10
00
00
00
00
11
00
01
11
10
11
00
10
00
10
10
10
10
10
01
00
00
00
00
10
11
00
00
00
11
10
00
00
10
00
00
11
11
11
00
01
01
00
01
01
11
11
10
00
00
10
10
11
00
00
11
10
01
00
00
10
10
01
10
10
00
00
10
00
11
11
10
00
00
10
00
00
10
01
00
10
01
01
10
10
11
00
00
01
10
11
00
01
11
00
00
00
00
10
01
00
00
11
10
01
00
11
01
10
01
00
10
10
00
10
00
10
00
10
10
00
01
00
10
10
10
00
10
10
00
10
10
10
01
11
10
00
00
01
01
11
01
00
10
10
10
10
00
10
10
00
10
11
00
11
10
10
10
00
00
00
10
11
00
00
10
10
00
00
00
11
10
10
10
00
10
11
10
11
00
10
10
11
01
01
01
10
10
00
10
00
00
10
10
10
00
10
00
11
10
00
10
01
11
00
01
01
00
11
00
11
01
10
10
00
01
00
00
11
10
10
01
00
11
10
10
00
00
10
00
10
11
00
00
00
11
11
01
10
00
01
10
00
10
10
10
00
10
10
01
10
11
00
00
10
10
10
01
10
11
00
00
10
10
01
00
10
11
10
10
11
10
01
10
00
00
00
10
00
00
11
00
00
00
00
01
10
10
00
01
11
00
10
00
01
11
10
01
11
10
01
10
00
00
01
01
10
10
00
10
00
01
10
10
00
10
10
00
01
00
00
00
11
10
11
00
00
10
00
01
00
10
01
00
10
11
00
01
01
01
11
00
10
00
01
00
11
10
01
00
01
00
10
01
01
10
10
01
00
10
11
00
00
00
00
00
10
10
10
00
11
00
01
10
01
00
10
00
11
00
00
10
10
10
10
01
10
00
01
10
01
00
10
01
01
00
01
10
10
10
01
10
00
00
10
00
00
10
01
00
11
10
10
11
11
10
01
10
11
00
01
01
11
10
00
00
10
11
10
11
01
00
11
10
10
00
10
01
01
10
01
00
10
00
10
00
00
00
11
00
00
10
01
11
10
10
10
00
00
01
10
10
11
00
10
00
10
10
01
11
00
11
11
00
11
11
00
00
00
10
10
00
00
01
10
10
10
10
01
11
01
11
10
00
00
01
11
10
00
00
01
10
10
00
00
10
10
01
01
10
10
00
00
00
01
11
11
11
10
10
00
10
10
00
01
10
11
10
00
00
10
01
01
01
10
00
00
10
11
00
00
10
00
00
10
11
01
01
10
00
01
10
01
00
01
10
11
01
10
10
01
00
11
00
00
11
00
00
11
10
01
11
11
10
11
01
00
00
10
11
01
01
00
10
10
10
10
01
01
10
00
10
11
10
01
10
11
00
00
00
10
11
00
00
10
00
00
00
10
10
11
00
11
11
11
10
00
01
10
11
00
01
11
01
10
11
10
00
01
10
00
00
00
00
10
00
01
00
01
00
10
00
10
11
10
11
00
11
11
10
10
01
00
00
10
10
00
00
00
00
00
01
10
10
00
10
10
11
10
00
00
00
10
11
10
01
00
10
11
01
01
01
01
11
10
10
00
01
10
11
01
00
10
01
10
10
11
00
10
10
00
00
10
10
11
10
01
00
10
11
00
00
10
10
01
10
10
00
00
00
10
11
01
10
00
01
00
10
00
10
11
00
10
00
00
11
00
10
00
10
11
00
10
00
00
00
10
10
11
00
10
10
01
10
01
01
10
10
11
10
00
00
01
11
00
00
00
01
10
00
10
10
11
10
00
00
00
11
10
11
11
01
10
10
00
10
01
10
10
00
01
10
00
00
11
01
00
11
00
01
10
10
00
00
00
10
10
01
11
01
10
00
10
11
00
00
10
11
01
10
11
01
01
11
10
01
11
11
00
01
10
11
10
00
11
10
10
00
00
10
00
10
11
01
01
10
10
00
10
10
01
10
11
10
00
11
10
01
10
11
00
10
11
00
10
10
00
00
00
00
00
00
11
00
10
00
10
00
10
10
10
10
00
11
01
10
00
10
00
10
10
00
00
11
00
00
01
01
11
11
00
01
00
11
11
10
01
01
11
01
01
00
11
11
10
10
00
00
00
10
11
10
00
00
01
00
10
00
10
11
10
10
01
00
00
01
11
10
00
01
00
11
00
10
10
01
00
11
11
01
00
11
10
10
01
00
00
10
11
01
10
11
10
10
00
01
00
10
10
00
11
00
00
10
01
00
11
00
10
11
10
01
00
11
10
00
00
11
10
00
00
10
10
01
10
00
10
11
00
00
10
10
00
11
10
00
01
10
11
00
10
11
00
10
00
11
10
00
00
11
00
11
00
01
01
11
01
01
01
10
10
00
10
10
00
00
11
00
00
00
11
10
00
00
00
10
10
01
10
10
00
10
00
00
11
10
10
00
11
10
11
00
01
10
10
00
01
10
10
01
00
01
11
10
10
00
00
00
10
10
10
01
10
01
10
10
11
11
00
01
01
10
10
00
01
00
10
11
10
00
10
10
01
10
00
00
10
10
10
10
00
10
11
10
10
01
00
00
11
10
01
01
10
00
00
00
10
10
01
10
00
01
01
10
10
00
00
01
10
10
10
00
10
10
00
11
11
11
10
11
01
10
11
00
01
01
10
11
10
10
10
00
00
10
01
01
11
00
10
10
01
11
01
01
00
11
00
00
00
10
10
01
11
11
10
01
11
10
11
10
10
00
00
10
00
00
00
10
01
01
10
00
10
01
00
10
00
00
11
10
10
00
10
10
10
10
10
10
11
01
10
11
11
10
11
11
00
00
10
00
11
10
01
00
10
10
01
10
00
11
10
10
00
00
01
00
10
10
10
00
01
00
10
00
11
01
01
10
10
10
00
01
01
10
11
10
01
00
00
01
00
10
10
01
00
10
01
00
10
11
10
00
01
10
00
10
01
11
10
01
01
11
10
01
11
10
10
00
00
10
11
00
01
10
00
10
10
01
11
11
00
10
00
00
10
00
00
10
11
01
11
00
01
10
01
00
00
01
11
10
10
11
11
10
11
00
01
11
11
10
01
00
10
10
11
10
11
00
00
01
11
01
00
01
11
10
00
10
10
00
11
10
01
00
10
11
00
10
10
10
01
00
01
01
10
00
10
10
10
10
11
00
00
00
01
10
00
10
10
00
00
00
00
00
00
00
10
10
10
10
00
01
00
10
01
01
00
11
10
00
10
00
00
11
11
00
11
00
10
01
10
11
10
11
00
11
10
00
00
11
11
01
00
11
11
00
01
00
11
10
10
00
00
00
10
11
10
10
00
10
00
00
00
00
01
10
01
11
11
00
01
11
00
00
00
00
10
01
10
11
00
00
11
10
00
01
01
11
10
01
00
00
10
10
00
01
00
00
00
00
11
11
00
10
00
10
10
00
10
10
00
10
01
00
11
00
10
00
00
00
10
00
11
01
10
10
00
10
11
11
01
01
00
10
10
10
00
00
10
10
00
00
00
01
11
10
10
10
00
11
10
00
10
10
00
11
11
01
10
01
10
10
00
01
10
10
10
10
10
00
11
11
00
00
10
01
00
10
10
01
00
00
00
00
00
10
10
01
00
00
10
10
10
00
10
11
11
00
10
10
00
01
00
00
10
00
00
10
00
00
00
10
01
10
11
11
01
00
00
01
10
01
00
10
01
10
00
01
11
00
00
00
10
01
11
11
00
11
11
00
10
10
10
00
10
11
10
00
10
01
00
01
01
10
00
00
00
00
10
10
11
01
10
10
00
10
10
00
01
00
10
00
00
11
10
00
10
10
11
10
11
00
10
11
10
01
00
10
01
10
10
11
00
01
01
10
00
00
10
00
00
10
00
01
10
10
00
00
10
01
00
11
10
11
10
00
10
01
00
10
11
01
01
00
00
11
00
10
11
01
01
11
10
10
10
10
10
00
01
10
00
01
01
01
01
10
11
11
11
10
00
00
10
00
00
10
10
10
10
10
00
00
10
00
00
10
10
01
00
10
10
10
10
10
11
00
01
10
11
10
00
01
10
00
01
01
11
11
11
11
10
10
10
01
01
01
10
10
00
11
00
10
00
00
10
10
10
00
10
10
10
10
01
00
10
01
11
11
00
00
10
00
00
11
00
01
11
10
01
10
10
10
00
00
10
00
10
10
00
10
01
00
10
01
00
11
00
00
01
11
10
10
10
00
10
10
00
11
11
01
00
10
10
01
10
10
10
00
10
00
11
11
00
00
01
11
10
10
01
01
11
00
10
10
00
00
10
11
01
01
10
10
10
11
11
00
00
00
11
00
11
10
00
10
10
10
01
00
10
01
00
11
10
00
00
10
11
10
10
00
10
00
00
10
10
00
01
01
11
10
01
00
10
10
01
00
10
01
01
00
10
00
00
11
10
00
11
00
00
00
10
01
10
10
00
00
00
01
00
00
10
10
00
01
00
00
10
11
01
10
10
10
10
00
00
00
00
11
11
01
00
00
01
00
11
10
10
10
00
00
10
10
00
01
10
10
00
01
00
11
10
11
10
00
10
10
10
00
01
00
00
10
00
10
01
10
10
10
11
10
10
01
01
10
10
00
01
11
10
10
11
10
10
10
00
10
10
00
00
11
00
00
10
01
10
00
10
10
01
01
11
10
00
00
00
01
10
11
10
10
00
00
11
01
11
10
00
01
01
10
10
00
01
11
00
10
11
10
11
01
00
11
10
10
01
01
10
11
01
10
00
11
10
00
10
01
10
10
01
01
01
01
10
11
11
01
00
10
01
00
00
10
11
01
00
10
01
00
10
00
11
10
01
10
00
11
00
10
10
10
00
00
10
00
00
10
11
00
11
10
01
00
10
00
11
11
10
11
11
00
01
10
01
00
10
11
00
00
10
00
10
00
11
10
10
01
10
00
01
10
00
00
00
10
00
00
11
10
01
01
10
11
10
00
00
10
10
00
00
10
10
01
01
00
10
01
00
10
00
11
11
01
10
00
10
00
11
11
01
00
00
11
10
00
00
00
10
10
00
01
10
00
01
00
00
01
11
10
01
10
10
00
01
01
01
00
10
10
10
01
10
10
00
01
00
10
00
10
11
00
01
00
01
00
10
01
00
11
00
01
11
00
00
11
01
01
00
01
11
10
00
10
10
10
00
01
00
00
01
00
00
11
00
10
11
10
11
11
00
01
01
00
10
10
00
00
10
10
00
00
01
11
00
00
10
11
10
00
01
10
10
00
10
10
01
00
01
00
01
00
00
01
10
10
00
00
10
11
10
11
00
00
01
01
10
10
00
01
10
10
10
01
01
01
00
10
10
01
11
10
10
00
11
00
00
10
10
10
00
00
10
00
11
00
01
00
11
01
00
10
00
11
11
01
01
10
00
00
11
11
11
00
11
00
11
10
00
00
11
11
10
10
11
10
00
10
00
00
01
00
10
10
01
00
11
00
00
11
11
01
00
00
11
10
01
01
01
10
11
01
10
10
01
10
10
00
00
00
10
00
01
10
11
01
10
10
00
11
10
00
01
01
10
01
00
00
00
01
10
11
00
10
11
00
00
11
01
00
11
11
01
01
00
11
10
01
10
11
01
00
11
10
00
00
11
01
01
10
10
10
00
10
11
00
01
10
00
10
00
01
10
00
01
00
01
00
10
10
01
00
11
01
00
11
10
01
11
00
10
10
10
00
11
10
00
01
01
10
10
00
10
10
10
10
10
10
10
10
10
11
11
01
01
01
10
00
01
01
10
00
00
00
00
11
10
11
10
00
01
00
10
00
01
10
00
10
10
01
01
01
00
11
00
11
00
00
01
10
10
10
10
11
01
10
10
01
00
01
10
10
00
00
01
11
11
10
01
10
10
00
11
00
11
10
00
10
10
11
00
10
10
01
11
10
01
01
00
00
11
10
11
10
00
00
10
01
10
11
01
10
00
00
10
00
11
10
10
11
00
11
01
00
00
00
10
00
00
01
01
00
10
10
11
10
00
01
00
10
00
01
10
01
00
10
10
00
11
10
10
00
00
11
11
10
00
01
10
11
00
01
10
01
10
11
10
00
00
11
10
11
01
11
11
00
01
11
11
00
10
01
01
00
01
11
11
01
00
11
00
00
10
11
10
00
11
11
01
00
10
11
11
11
10
00
00
10
00
11
00
00
10
00
01
10
00
00
11
00
10
10
00
00
10
11
10
00
10
11
00
00
00
01
10
10
01
11
01
10
01
11
00
11
01
00
10
11
10
10
11
00
01
00
00
00
00
10
10
11
01
10
01
11
11
11
10
01
00
10
11
00
01
11
11
10
11
00
01
10
00
10
00
10
11
10
01
01
10
01
01
11
11
10
01
10
00
00
11
10
01
00
10
10
11
11
10
10
10
01
00
01
00
10
01
00
11
00
10
11
10
01
00
11
10
10
00
00
10
00
10
10
10
00
10
11
01
10
10
10
00
00
00
00
10
11
00
01
10
00
00
10
01
10
00
00
10
01
00
00
10
00
10
10
01
11
01
10
00
01
10
00
10
00
01
01
10
10
11
10
10
01
00
01
11
10
11
00
00
00
01
10
10
01
00
00
10
00
10
00
00
00
10
10
10
10
11
10
00
01
11
01
10
10
11
01
11
11
01
01
00
10
10
10
00
00
01
10
00
00
11
00
00
00
10
11
00
00
10
10
10
10
00
01
10
00
11
11
00
01
10
01
10
00
11
00
01
10
00
01
00
11
10
11
00
10
10
00
10
10
11
00
11
00
00
10
10
01
00
10
10
01
00
10
00
01
00
10
00
00
10
10
10
11
10
10
10
00
11
10
10
10
01
11
00
00
00
00
00
10
00
00
11
10
11
10
00
01
11
10
01
00
10
11
01
00
11
11
01
11
11
00
11
11
00
01
11
10
00
10
11
00
00
01
01
10
00
10
00
10
11
00
10
00
10
10
10
10
00
00
00
00
00
10
10
10
11
00
11
11
00
11
11
11
00
00
01
10
00
00
10
10
10
00
10
11
00
11
01
00
10
10
00
01
11
01
11
00
00
01
11
10
00
00
00
00
10
10
10
00
00
10
10
00
10
00
10
01
01
10
01
01
00
01
10
00
00
01
11
10
10
00
00
10
11
10
11
00
00
11
00
00
10
10
01
10
00
00
11
11
11
10
10
10
01
01
00
00
00
01
11
01
00
10
00
10
00
00
11
10
00
00
10
00
00
10
10
00
00
01
11
01
10
00
00
00
00
11
00
00
00
00
00
10
10
10
00
10
10
00
10
01
11
10
00
00
00
10
10
11
00
01
10
01
00
10
10
00
10
10
00
00
11
10
01
11
00
00
10
00
01
00
00
10
11
10
00
11
10
11
10
01
01
11
00
00
10
10
00
01
00
11
00
01
00
00
10
10
10
10
01
01
11
11
00
01
00
00
00
10
10
00
10
10
00
00
10
10
01
10
11
01
11
01
10
11
01
00
10
10
00
10
10
00
10
01
00
01
00
01
00
10
00
00
01
10
11
00
10
00
00
10
01
00
10
11
11
00
00
01
00
10
11
00
10
00
00
00
00
11
00
11
10
00
10
11
11
10
00
01
00
01
10
01
01
10
11
10
11
01
11
11
10
00
00
00
01
10
11
00
01
00
00
00
10
01
01
00
10
10
11
10
01
00
00
10
01
10
11
10
00
10
10
10
00
00
10
01
10
11
00
10
00
10
10
10
01
00
00
11
10
10
11
00
00
10
00
10
10
01
00
00
10
10
10
01
11
11
10
11
10
00
00
00
01
01
10
10
10
10
01
10
11
10
10
11
11
10
10
10
01
10
10
01
10
10
01
11
10
10
10
01
11
10
01
01
10
10
00
11
00
01
00
00
10
10
11
00
01
11
00
10
10
00
00
11
11
10
01
11
10
11
11
00
00
11
10
01
10
11
00
11
11
00
00
11
10
01
10
11
00
00
11
00
10
10
00
00
10
10
11
00
00
11
01
11
10
10
10
01
01
00
01
10
10
01
10
11
00
11
10
01
10
11
00
01
11
10
10
00
10
01
11
11
10
00
00
00
11
00
00
10
01
10
00
01
11
10
01
10
11
00
00
10
00
10
10
11
01
00
00
00
10
10
11
10
01
00
00
00
01
10
00
10
11
00
10
10
00
00
10
10
00
00
10
01
01
00
00
00
11
01
10
01
01
00
11
00
00
10
00
00
11
11
00
00
11
11
00
00
01
00
00
00
10
10
00
00
00
10
10
00
11
10
10
01
11
00
00
10
10
10
01
11
01
01
00
11
00
00
11
00
00
10
10
10
11
11
01
10
10
11
00
11
01
00
00
00
11
01
11
10
00
10
10
10
11
10
00
11
10
00
10
00
10
11
01
00
00
10
10
01
10
01
00
10
11
10
00
10
00
01
00
01
11
10
01
00
10
00
10
10
01
10
01
00
00
10
10
00
10
00
00
10
10
00
10
10
00
10
10
01
00
01
10
10
10
00
11
00
01
01
00
10
10
00
00
10
00
00
11
00
00
10
10
11
10
11
10
00
00
01
00
10
01
01
11
10
10
10
01
01
11
10
00
00
01
00
10
00
01
10
10
10
10
00
00
10
00
01
10
00
00
10
00
00
00
00
11
00
01
11
00
01
11
00
00
00
11
11
01
10
11
11
00
00
10
00
00
00
11
11
01
10
11
00
00
10
11
00
01
11
11
10
11
00
11
00
00
00
10
11
00
11
00
01
00
01
11
11
11
11
01
00
10
00
10
10
00
00
10
10
01
00
10
10
01
00
01
11
10
00
10
10
00
01
10
01
11
10
00
01
00
01
10
10
00
00
00
10
00
01
11
00
00
01
11
00
10
01
00
10
10
10
10
10
11
10
10
00
10
10
10
01
00
01
10
10
10
01
10
00
00
00
00
00
10
10
01
00
00
10
10
00
01
00
10
00
00
11
10
11
00
10
10
11
01
11
11
00
00
00
11
10
01
00
11
00
01
10
00
01
10
10
00
10
10
10
01
00
10
10
10
01
01
01
10
01
00
01
00
11
10
00
00
00
11
01
11
11
11
00
10
10
00
00
10
10
00
00
10
00
10
10
01
00
11
10
01
10
11
10
01
10
10
11
00
01
00
10
10
11
11
00
01
10
00
10
00
00
11
00
00
11
11
11
10
00
11
10
00
11
10
00
10
11
01
00
10
10
01
00
00
00
00
00
00
10
00
10
00
10
10
01
10
00
00
00
10
00
01
00
00
00
01
11
00
10
11
10
00
10
10
00
01
10
00
00
01
11
00
10
10
01
01
01
11
10
11
00
00
10
00
00
10
10
10
10
00
10
01
00
11
10
00
01
00
10
10
00
10
00
00
11
00
01
11
10
00
10
10
01
00
10
10
10
00
00
01
10
00
00
01
00
11
10
01
10
10
10
01
10
10
00
00
01
10
01
10
00
10
11
00
11
01
01
00
00
01
00
10
11
10
01
00
10
00
00
10
10
01
10
00
10
00
11
01
10
11
01
01
01
01
11
10
01
00
01
10
10
01
00
10
10
10
01
00
10
10
10
10
11
00
00
00
11
01
10
00
00
10
01
00
11
11
00
11
00
00
00
10
10
00
01
10
11
00
11
11
01
00
11
11
00
01
10
01
00
11
00
10
11
00
00
00
11
10
01
10
01
11
01
01
11
00
01
01
11
10
00
01
10
10
00
00
00
10
01
11
10
10
10
00
00
10
00
01
10
10
00
11
00
01
00
10
00
11
01
00
00
10
10
10
11
11
01
01
00
10
11
11
00
01
10
10
00
01
00
10
11
00
10
00
10
10
11
11
01
11
01
10
10
10
10
00
00
10
11
10
01
01
10
00
00
01
00
11
11
10
10
10
10
00
00
10
00
10
10
10
10
10
10
00
10
11
10
00
00
10
10
10
00
01
10
10
10
11
10
00
01
00
01
10
00
01
01
11
00
00
10
00
01
10
01
01
10
10
10
10
10
10
01
00
11
00
10
00
10
11
01
00
10
00
11
01
10
00
10
10
10
00
01
00
11
10
00
10
10
10
00
11
10
00
10
11
11
00
10
11
00
01
00
10
10
10
00
10
10
00
00
00
11
00
01
10
00
00
10
00
11
00
00
00
01
11
11
10
01
10
00
10
01
00
10
10
00
10
01
10
11
00
11
10
10
00
11
00
00
00
11
10
01
00
11
00
00
10
00
00
10
01
00
10
11
01
11
00
01
00
10
11
10
11
00
11
10
10
11
01
11
10
00
01
00
11
00
10
11
10
10
10
10
00
10
10
01
11
00
10
01
00
10
10
00
00
00
11
10
10
10
10
00
00
10
11
10
01
00
10
01
00
00
00
00
11
00
00
10
01
01
01
01
10
01
11
00
00
10
10
01
11
11
10
10
10
11
10
01
10
11
10
00
00
00
00
10
10
10
00
00
11
00
10
00
01
01
10
10
00
00
10
01
01
11
01
00
00
11
10
00
10
11
11
00
00
10
10
10
10
01
01
00
00
00
00
00
11
10
11
01
10
10
10
01
10
10
01
11
00
00
11
10
00
00
00
10
01
00
10
10
10
10
00
00
10
00
01
00
10
11
00
00
11
00
11
00
01
00
11
10
00
11
11
10
00
10
10
10
11
00
00
10
10
01
11
10
00
10
10
00
10
00
00
01
10
11
10
11
00
10
11
10
01
00
10
10
10
00
00
00
10
00
00
01
11
11
01
10
11
01
11
11
10
01
00
00
10
11
01
00
00
11
10
00
00
01
10
10
00
01
11
01
10
11
00
10
00
10
10
00
10
01
00
01
10
10
00
01
11
10
11
00
00
01
10
00
00
10
01
10
10
01
10
10
00
10
01
00
10
11
10
01
00
10
10
00
00
00
01
11
10
10
00
11
00
11
11
00
01
10
00
10
10
11
01
00
10
01
01
00
00
10
11
00
11
00
00
10
11
11
00
10
11
11
00
00
10
00
00
00
10
10
11
10
00
10
00
10
10
01
00
01
10
00
11
01
01
00
10
01
00
11
10
01
11
11
00
10
00
00
10
00
11
10
00
01
11
00
11
10
00
00
00
11
10
11
00
01
00
10
11
00
10
10
10
01
11
10
01
11
01
00
00
11
11
10
00
00
10
10
10
11
11
00
01
11
10
00
11
00
01
00
10
11
10
00
00
10
10
10
10
00
10
11
10
01
10
00
01
10
11
00
00
11
00
01
10
11
00
10
00
11
11
10
00
10
00
10
10
00
01
10
10
00
01
10
00
01
10
01
10
11
00
10
01
10
00
00
00
10
11
10
11
10
00
10
10
10
00
01
10
10
11
01
11
10
00
00
01
01
10
01
00
01
10
01
00
10
10
10
00
00
00
01
01
11
10
11
10
01
00
10
10
10
10
00
10
10
00
00
00
00
00
10
01
10
10
11
10
00
11
00
01
11
10
10
10
00
01
11
10
00
00
01
00
00
10
00
00
00
01
10
10
01
10
10
00
10
10
01
00
10
10
00
00
11
11
00
11
10
10
11
10
01
00
00
10
11
10
10
10
10
00
01
10
00
01
00
10
10
10
11
10
00
00
10
11
10
01
00
11
00
11
00
00
10
11
00
00
10
11
11
10
00
10
11
11
00
11
10
10
01
01
00
00
01
10
10
11
01
00
01
10
10
10
11
00
11
01
11
10
11
11
10
11
00
00
11
11
00
10
10
00
10
00
10
00
00
10
10
10
00
00
11
10
10
10
10
11
11
10
00
10
00
00
11
11
11
00
00
00
10
10
01
11
11
11
00
01
00
10
11
10
10
10
10
10
10
01
00
00
00
01
10
00
01
11
00
00
10
11
11
00
00
10
10
10
00
11
11
01
10
00
10
00
11
10
00
01
01
11
11
00
10
01
10
10
11
00
00
00
00
10
01
01
10
11
10
00
01
10
01
00
00
00
10
10
11
11
10
11
00
01
00
00
10
10
01
00
11
00
00
00
10
10
10
01
10
11
10
10
10
00
11
10
10
00
00
11
10
00
00
00
10
00
11
11
10
10
01
00
10
10
00
11
10
11
10
00
10
01
00
11
00
10
00
11
01
00
00
11
10
10
10
01
00
10
10
10
00
10
00
00
01
00
11
10
10
10
00
10
00
11
00
11
10
00
10
10
00
10
11
10
01
10
00
00
11
11
01
00
10
10
10
11
01
10
10
10
01
10
00
00
11
00
01
01
10
11
00
00
11
11
01
11
11
11
00
00
10
11
01
01
10
10
01
00
01
10
10
00
11
11
10
11
00
11
00
00
10
00
10
11
00
01
00
00
00
11
11
10
00
00
00
11
00
00
11
10
11
00
10
00
00
01
11
10
00
01
10
10
01
10
10
01
10
00
10
00
00
01
10
00
10
00
10
00
00
11
10
01
00
01
10
10
01
01
10
10
01
01
10
01
10
11
00
00
10
10
00
01
10
11
00
10
10
11
00
00
00
01
00
00
11
11
00
10
11
11
00
01
10
10
10
11
10
00
11
10
00
00
00
00
10
01
00
11
10
10
00
11
10
00
00
10
10
00
00
10
11
00
00
10
11
00
11
11
10
10
00
00
11
11
00
10
00
00
00
00
00
01
01
11
01
11
10
00
11
00
00
00
00
10
00
00
10
01
10
01
00
00
00
11
00
11
10
10
10
01
10
01
00
10
10
10
00
00
10
00
10
11
00
10
10
00
10
10
00
00
00
11
01
10
10
11
01
00
00
01
10
11
01
00
10
10
10
00
00
11
00
00
10
00
01
00
00
10
00
10
01
00
10
01
10
00
11
11
01
11
10
10
10
10
00
00
11
00
01
00
01
00
11
10
11
10
00
10
01
11
01
11
11
10
10
10
01
01
10
11
01
10
10
11
01
11
10
00
10
10
00
00
10
10
00
11
10
00
11
10
11
10
00
01
10
11
11
11
00
01
00
10
00
00
01
10
10
00
11
01
01
00
00
10
00
00
10
00
00
10
10
00
10
01
00
10
00
10
10
00
00
10
11
00
00
10
01
10
00
01
01
01
11
10
11
01
01
00
01
10
00
10
10
00
10
00
00
11
00
10
01
10
10
10
10
11
00
00
10
11
10
00
10
01
00
11
00
00
11
00
00
00
00
10
01
10
11
10
10
00
10
00
00
00
10
00
00
10
00
10
11
10
01
10
10
01
10
00
10
01
00
10
10
10
00
00
00
00
10
11
10
00
10
10
11
00
11
00
00
11
10
11
01
11
10
11
10
10
00
01
00
10
10
00
00
10
01
01
00
10
11
00
00
00
11
10
00
01
01
10
10
00
10
01
01
10
01
11
00
00
10
10
10
00
00
10
11
00
10
00
00
10
00
01
11
10
11
00
10
00
00
10
11
00
00
00
10
10
00
00
00
11
10
00
11
00
10
11
01
10
10
01
00
11
10
00
01
01
00
10
10
01
01
00
10
11
01
11
10
01
01
01
01
01
10
10
11
00
00
10
10
00
00
10
00
01
10
00
11
10
11
00
10
10
00
00
10
11
01
00
10
00
00
00
11
10
01
00
00
10
11
11
00
10
10
01
10
00
01
11
10
00
01
00
10
01
01
11
10
11
00
00
00
10
10
00
10
10
00
10
10
10
00
10
10
00
01
10
10
10
11
11
01
11
10
11
10
10
01
10
01
01
11
10
11
00
00
10
00
00
01
01
11
10
00
01
00
10
01
00
10
11
01
00
00
01
00
10
00
10
10
01
01
10
11
10
00
00
10
11
00
00
10
00
00
00
00
10
00
10
10
00
00
00
01
00
11
10
11
01
00
11
11
10
11
00
01
10
10
00
00
00
11
00
11
10
10
11
00
11
10
00
01
01
10
00
00
10
10
00
00
00
10
11
11
01
01
00
00
11
00
11
11
10
01
01
00
00
11
01
01
01
11
00
01
01
01
10
11
00
00
10
11
11
00
00
10
10
00
10
10
00
10
00
11
10
00
01
00
11
00
00
10
10
10
00
01
10
10
11
00
00
00
10
11
00
00
00
01
10
00
11
10
00
01
10
00
10
11
00
00
00
11
10
10
10
01
01
10
10
00
00
00
01
00
00
00
10
11
10
11
10
00
01
00
10
10
01
11
01
01
10
11
10
00
00
00
00
10
00
00
10
11
10
00
01
10
10
10
11
01
00
11
01
10
10
01
11
10
01
00
10
01
00
11
00
00
10
00
00
00
00
11
10
00
10
01
10
00
10
00
11
11
01
00
01
00
10
11
00
11
10
00
00
10
00
00
00
10
11
00
10
10
10
01
01
00
10
00
01
01
10
10
00
00
00
01
10
00
00
10
10
10
10
10
00
00
00
10
10
01
01
11
10
10
11
10
11
11
00
01
01
00
10
10
00
00
10
01
11
10
10
11
01
10
10
01
10
01
01
10
00
01
00
00
00
10
11
00
10
10
11
01
01
10
00
00
01
10
11
11
00
11
10
00
10
00
11
10
00
00
00
01
00
11
10
11
00
00
11
00
00
11
10
00
11
00
00
01
10
10
10
11
00
10
01
11
01
10
01
10
00
00
00
00
01
00
11
00
01
10
11
10
00
00
10
00
10
00
10
00
01
00
10
00
01
00
11
11
00
01
11
10
11
10
00
01
10
10
10
01
00
11
11
01
01
01
11
10
00
11
10
10
00
00
10
00
10
00
11
11
11
00
00
10
01
00
11
10
00
11
00
00
10
00
10
10
10
00
10
10
00
01
10
10
01
00
11
00
11
00
11
10
11
11
01
11
10
11
00
10
10
10
00
10
10
01
00
11
10
10
00
01
10
10
10
10
10
11
00
01
00
01
00
01
01
10
10
10
10
00
10
00
00
00
10
10
01
10
00
10
00
00
01
10
00
00
10
00
00
00
10
00
10
10
10
00
11
10
00
11
00
10
11
10
00
01
10
10
00
11
00
00
00
01
10
10
00
01
10
10
01
10
10
01
01
11
10
01
01
10
01
11
00
00
00
00
10
00
01
10
11
01
00
10
10
10
00
00
11
00
00
11
00
11
10
10
00
00
00
10
10
01
01
10
01
10
11
10
10
00
00
10
10
01
10
10
00
01
00
01
00
11
00
01
00
01
01
10
00
00
11
01
01
10
10
00
00
10
00
01
10
00
11
10
10
11
00
00
10
01
11
00
01
00
00
11
10
01
00
10
10
01
00
11
01
01
00
10
00
01
10
11
10
01
10
00
01
10
01
00
10
10
00
11
00
00
10
00
00
10
10
01
10
10
10
11
01
11
01
11
10
00
10
11
00
00
10
11
11
10
00
11
00
01
01
00
10
10
01
11
11
01
10
10
01
10
11
01
00
00
01
10
01
10
10
01
00
00
10
01
00
00
11
11
10
10
10
00
10
01
00
11
10
00
10
10
10
01
10
10
11
11
00
00
10
01
00
00
00
10
11
01
01
11
00
00
00
00
10
10
11
00
11
10
01
10
01
11
01
00
10
00
00
10
11
00
00
10
11
10
01
10
10
10
10
10
00
10
01
11
00
00
10
11
01
01
00
01
00
00
10
11
00
00
10
10
10
01
00
11
10
00
10
10
00
00
10
01
00
00
11
10
00
00
00
11
11
00
10
01
11
10
00
00
00
10
00
00
00
11
10
01
00
00
10
01
11
00
10
11
01
01
10
00
10
11
00
01
00
10
00
00
10
10
10
00
10
10
10
11
00
00
10
01
10
10
10
01
01
10
11
10
00
00
00
10
10
01
00
11
10
00
00
00
10
10
00
00
00
00
10
01
10
11
01
00
10
10
10
00
10
10
00
00
10
10
11
10
11
00
00
10
11
10
01
00
11
00
01
00
00
00
01
00
10
10
10
10
01
00
11
00
10
01
01
10
00
00
00
01
00
10
11
00
00
11
11
00
11
10
00
11
10
11
11
01
01
11
11
11
01
00
11
11
00
11
00
10
11
00
01
00
00
10
00
11
00
10
10
00
00
11
11
00
01
10
11
11
00
11
11
00
00
11
10
11
11
00
10
01
00
00
00
10
00
00
00
10
10
00
00
10
00
10
00
00
10
01
01
00
10
11
00
00
01
00
00
11
10
10
11
00
11
00
01
11
01
00
11
00
01
00
00
10
10
11
00
10
11
01
11
10
00
01
10
00
10
10
01
01
00
11
10
01
10
10
01
00
00
10
10
11
01
01
10
01
00
01
10
00
01
10
10
10
10
00
00
01
10
11
01
11
00
00
10
00
01
10
10
01
10
10
00
11
00
00
10
11
01
00
01
00
10
10
00
10
01
00
00
10
01
00
00
00
10
00
10
00
10
01
01
01
00
00
11
10
10
01
01
10
00
00
10
11
00
00
10
00
00
11
00
10
11
01
00
01
00
10
01
00
11
00
01
00
00
10
10
00
00
00
01
10
00
11
10
10
10
00
01
00
11
11
10
11
10
10
00
00
11
00
10
10
00
00
00
00
11
10
00
11
10
11
10
11
00
00
00
00
01
11
10
10
00
01
00
00
00
00
10
10
00
10
10
01
10
11
10
10
10
00
01
01
00
01
01
10
00
11
11
01
01
11
10
10
00
01
00
00
10
10
00
11
00
01
10
01
10
11
10
10
10
00
00
10
00
00
00
10
01
01
11
00
11
00
11
01
11
10
10
00
01
00
10
10
00
10
10
11
01
11
10
10
00
11
00
00
11
10
01
01
00
00
00
10
10
01
10
10
10
11
10
01
11
10
00
00
00
00
00
10
01
11
11
01
10
01
01
01
00
00
10
10
10
00
11
10
10
11
00
10
00
00
10
10
00
00
10
00
10
10
10
01
10
00
00
10
10
10
11
00
11
01
10
01
11
00
10
11
00
00
10
10
00
00
10
10
00
11
11
00
10
10
11
01
00
10
11
00
10
10
10
00
00
10
01
00
00
01
10
00
00
00
10
01
01
11
01
01
00
10
11
10
00
01
10
10
00
00
11
10
00
00
11
00
10
00
00
00
10
11
11
11
00
10
10
11
10
00
00
00
01
00
00
10
11
10
10
11
11
00
01
00
00
10
11
10
11
00
00
10
00
10
00
11
00
00
10
01
11
00
00
10
10
01
01
11
00
10
10
10
10
00
11
10
01
01
00
10
10
00
10
00
00
11
11
01
01
11
00
11
11
10
00
11
11
11
00
00
10
01
01
00
11
11
00
01
01
10
01
01
10
11
01
00
11
10
01
11
00
00
11
10
00
00
10
11
00
00
00
11
01
01
10
00
11
00
00
11
10
10
01
01
00
00
10
10
10
00
10
00
00
11
10
00
01
00
00
00
00
10
00
01
10
11
11
10
10
00
01
00
00
11
00
10
10
00
00
00
10
11
10
00
11
10
01
00
11
10
10
01
00
00
10
00
01
01
00
10
01
10
00
10
00
10
11
01
10
01
10
00
00
01
10
10
00
01
10
00
00
10
01
00
00
10
11
00
10
10
10
00
01
00
10
10
10
00
10
11
00
00
00
11
00
01
10
00
10
11
00
10
01
01
01
00
11
11
11
00
00
00
00
00
11
00
00
11
00
10
11
00
11
00
00
00
00
00
10
00
11
11
00
01
10
00
10
10
00
00
01
10
10
10
11
10
10
10
11
00
10
00
00
10
00
00
10
01
10
01
00
00
10
10
01
10
00
00
11
10
10
00
00
11
10
10
11
01
10
00
10
10
00
10
10
11
00
00
00
00
00
10
00
01
10
11
11
10
10
10
00
00
10
10
01
00
00
00
00
01
10
00
01
01
00
10
11
11
00
00
10
01
00
10
11
11
10
00
00
11
10
00
00
10
01
01
11
01
10
10
00
10
00
10
10
00
00
01
10
00
00
11
00
10
11
10
10
11
01
10
00
01
01
10
01
00
11
10
10
10
01
11
10
10
01
00
00
00
10
00
00
11
10
00
00
00
00
00
10
10
10
10
00
10
10
10
01
01
10
01
00
10
01
00
10
00
00
10
10
00
10
00
01
11
11
10
10
01
01
01
10
11
00
01
10
00
10
00
01
11
00
10
10
10
00
10
01
00
10
00
10
00
10
00
10
00
11
10
01
00
10
00
00
10
00
11
10
00
10
11
10
00
00
00
11
00
00
00
00
10
10
00
11
01
00
10
00
00
11
00
00
11
00
01
10
11
10
11
00
11
11
01
01
01
00
10
00
00
00
01
10
01
10
01
10
00
10
11
11
00
10
01
10
00
01
10
10
00
00
10
01
00
11
10
10
01
01
11
00
00
11
00
00
11
10
00
11
01
00
00
11
00
11
10
10
01
00
10
10
00
01
00
11
00
01
11
11
00
10
11
00
00
11
11
01
11
10
00
00
10
10
10
10
10
00
11
11
00
01
10
10
01
11
00
10
00
10
01
00
10
10
01
01
01
11
00
10
01
01
10
00
10
11
11
01
10
11
11
10
00
10
11
00
00
00
00
10
10
00
00
11
10
10
00
10
10
00
10
10
01
10
10
10
11
00
10
00
10
00
00
11
11
00
00
01
10
01
10
00
10
10
00
10
10
00
11
10
01
10
10
00
00
01
10
00
00
00
10
00
00
10
11
10
00
00
00
10
11
11
00
00
10
01
10
00
10
11
10
11
10
00
00
11
00
00
10
10
00
01
10
10
10
10
10
10
10
01
01
11
11
00
10
10
01
00
10
01
00
10
11
11
01
10
01
01
00
10
01
10
11
00
00
11
10
00
11
00
01
00
10
10
10
11
11
00
01
11
11
10
10
01
10
00
10
00
10
10
01
00
01
10
10
10
11
00
00
01
11
00
00
00
10
10
00
01
00
11
11
10
11
01
10
00
01
10
10
10
00
11
01
00
01
11
10
00
10
10
01
00
11
11
01
01
01
00
10
10
01
00
10
10
10
11
00
01
10
00
01
10
00
10
10
01
10
01
00
10
00
01
00
00
00
11
10
00
00
11
00
11
10
00
10
10
00
10
00
00
00
11
01
00
11
01
11
10
10
01
10
00
00
11
01
10
11
00
00
10
01
01
10
10
01
10
00
10
10
01
00
11
10
00
00
11
00
11
11
01
10
10
10
00
10
10
10
01
00
10
00
10
01
10
10
01
11
00
00
01
11
11
00
01
11
00
01
10
01
10
00
00
10
01
10
01
00
10
10
01
01
10
00
10
10
00
10
01
00
00
00
11
10
01
11
01
00
10
00
00
10
10
00
10
00
11
10
01
00
01
01
10
10
00
10
11
00
01
10
11
00
10
11
00
10
00
10
10
00
00
00
10
10
00
01
11
10
01
11
01
11
11
00
00
11
00
10
01
00
11
10
01
11
11
00
01
10
10
10
00
00
10
10
01
10
00
10
11
00
00
10
10
10
00
11
00
01
01
11
00
10
10
01
00
11
11
01
10
10
10
00
00
10
10
01
11
10
01
00
10
11
10
01
00
11
10
10
00
00
10
11
00
01
00
11
00
00
11
00
11
10
01
10
00
01
10
01
00
10
10
00
01
00
10
11
01
11
11
11
00
10
10
00
00
10
11
10
01
00
01
11
00
00
00
00
10
01
01
10
00
10
10
10
11
00
01
10
11
00
01
01
10
10
10
11
00
01
00
00
10
10
10
11
00
00
10
00
10
10
00
00
00
10
10
11
00
01
10
01
00
01
00
11
11
00
00
00
00
10
10
01
00
10
00
00
01
11
11
10
10
10
00
11
10
00
01
11
11
10
10
11
10
10
00
00
10
10
00
01
01
10
01
11
00
00
00
01
10
00
10
11
00
00
00
10
00
00
01
10
11
00
10
11
10
10
10
11
01
11
00
00
10
10
01
10
10
10
11
10
01
10
00
10
10
00
00
11
10
00
11
00
00
11
00
00
11
00
00
00
10
10
10
00
00
11
01
01
11
00
00
00
00
00
11
10
00
10
00
01
00
10
10
01
00
11
10
11
01
00
01
11
10
11
01
00
10
00
10
00
10
10
01
00
10
10
01
11
10
00
01
00
10
01
10
01
00
10
00
11
01
00
10
00
01
10
00
10
10
01
01
11
11
01
00
10
00
00
10
10
00
10
10
00
00
01
10
11
01
00
10
10
10
11
00
00
00
10
11
00
00
11
00
10
10
00
11
11
00
10
10
00
01
11
01
00
00
00
10
10
00
10
11
01
00
00
00
11
10
11
01
00
10
00
01
00
00
11
10
01
00
11
01
01
10
01
01
11
10
00
11
10
00
00
01
10
11
00
00
10
00
10
00
00
10
11
00
10
10
10
10
00
11
01
00
10
00
10
10
10
10
01
00
11
00
00
11
11
10
10
01
00
11
00
00
11
11
00
00
01
10
00
00
11
11
10
01
00
00
10
10
10
00
00
11
10
00
00
00
01
01
01
10
00
01
00
10
10
00
00
10
10
10
10
00
10
10
00
00
00
10
11
01
00
10
10
10
10
00
10
01
01
00
10
01
00
10
01
00
11
00
01
10
01
01
00
00
11
10
10
00
00
11
01
10
00
10
10
00
10
00
00
01
11
01
00
01
11
10
00
11
01
00
10
10
01
00
01
10
10
10
01
00
00
11
00
11
00
00
10
01
01
00
11
10
10
00
10
00
10
01
00
10
11
00
00
00
00
00
10
10
01
10
11
10
00
00
11
00
00
10
10
01
01
00
11
01
00
11
10
11
10
00
00
01
01
11
01
01
10
01
10
01
01
10
10
01
10
11
10
00
01
00
00
11
01
01
01
11
01
10
01
00
10
11
00
00
01
10
10
00
01
10
11
10
00
00
01
00
00
10
10
00
11
10
01
10
01
10
11
11
00
10
10
01
00
01
11
11
00
10
11
10
10
00
10
10
11
01
11
10
00
00
00
11
00
01
10
10
01
10
01
10
01
01
11
10
01
10
11
00
00
10
00
11
11
10
00
10
10
10
01
10
00
10
10
00
10
10
00
00
10
11
00
00
01
11
10
01
00
00
00
00
11
11
10
00
11
11
00
00
00
10
11
01
00
11
11
00
00
00
00
11
11
00
11
00
00
10
10
00
00
01
11
00
11
01
00
10
00
10
10
01
01
10
00
10
00
00
01
10
10
00
10
01
11
00
01
10
00
10
10
00
00
11
10
10
01
00
11
00
01
00
00
11
10
10
00
01
10
00
01
11
11
00
01
10
10
00
00
00
00
11
10
10
10
10
01
00
10
10
10
00
00
00
10
01
00
10
11
00
10
01
01
00
01
00
11
10
00
10
00
00
10
00
00
10
00
10
11
10
10
00
00
10
00
10
10
10
00
11
11
11
10
01
11
11
10
01
00
00
10
10
10
00
01
10
10
01
10
00
10
10
00
00
10
00
10
00
00
10
10
11
00
00
00
10
11
11
10
10
10
11
00
10
00
00
00
10
01
00
01
11
10
10
00
00
11
10
00
00
10
11
10
10
00
10
11
01
10
01
00
10
10
10
00
00
10
11
10
00
01
00
00
00
10
00
11
10
10
01
10
00
10
10
10
00
10
11
00
00
11
10
10
10
10
01
01
10
00
10
00
10
01
00
11
10
00
01
10
00
00
10
01
10
10
01
00
00
11
01
10
00
10
10
00
00
10
01
00
01
11
11
10
01
01
10
01
00
11
10
01
00
10
10
00
00
10
00
00
10
01
10
11
10
00
01
11
10
01
01
01
00
11
00
00
00
11
10
01
01
11
01
00
10
00
00
10
01
00
01
00
00
10
10
10
10
10
00
10
11
00
11
10
00
01
10
00
01
11
11
00
01
01
10
11
10
00
11
10
00
11
11
11
11
10
00
00
10
00
10
01
10
00
00
10
10
00
10
11
00
00
10
10
01
00
10
10
10
00
10
00
10
11
10
01
00
00
10
00
01
11
10
00
11
10
00
01
11
01
11
10
00
00
11
01
10
10
00
01
01
00
10
00
10
11
10
10
10
00
00
10
01
01
01
00
11
00
00
10
10
00
01
10
00
10
10
10
00
01
10
00
00
00
10
10
10
11
00
01
10
10
00
00
11
10
11
00
10
00
10
00
00
01
10
10
01
10
00
00
10
10
10
00
01
00
00
10
00
01
10
00
11
10
01
00
11
11
10
00
10
10
10
11
00
10
11
01
11
00
01
10
10
10
00
01
10
00
00
01
11
00
00
11
00
01
10
00
10
11
01
11
10
00
01
00
00
00
11
11
00
00
00
10
10
10
10
01
01
11
10
00
00
11
11
00
01
00
00
10
00
10
10
00
00
10
10
10
10
01
10
01
10
10
00
01
01
11
10
00
10
11
01
11
01
00
11
11
10
01
10
10
11
10
00
00
01
11
10
00
00
10
11
01
11
11
01
00
10
10
10
01
00
10
01
00
01
00
10
00
00
00
00
00
00
11
00
10
01
10
10
10
11
01
10
00
00
00
00
11
00
01
11
11
11
10
00
11
10
01
01
10
10
10
10
10
10
10
10
01
00
11
10
10
10
10
01
00
10
10
11
10
11
00
01
00
11
00
10
00
00
01
11
10
00
01
10
10
10
01
01
11
00
10
01
00
11
00
10
10
00
11
00
10
01
10
00
11
00
11
00
11
10
01
01
10
01
00
10
11
00
00
01
10
10
10
00
11
10
01
00
01
10
00
01
00
10
11
00
00
11
11
00
10
00
00
00
10
11
11
11
00
00
10
00
10
10
01
00
00
10
10
00
11
11
00
00
00
10
01
00
11
11
00
10
10
00
00
11
10
00
00
00
01
00
11
10
00
00
00
10
00
00
10
00
00
01
11
01
10
10
00
01
00
10
10
00
10
10
10
01
11
10
10
10
10
10
00
00
10
00
00
01
10
10
10
10
00
10
00
00
00
11
00
00
10
00
10
11
11
01
00
00
11
00
00
11
00
00
01
00
10
00
10
00
01
01
01
00
00
11
00
00
11
10
00
11
10
00
11
01
01
00
11
10
10
00
11
11
00
01
11
00
00
10
10
10
10
01
00
01
00
10
01
00
00
00
01
10
01
00
00
11
01
00
10
01
00
01
00
00
11
00
10
10
00
00
00
00
11
00
00
01
11
01
10
00
10
01
00
11
00
10
10
10
11
01
10
10
10
01
00
00
10
00
10
10
10
00
01
10
11
01
01
10
10
01
00
00
11
10
00
10
01
00
10
00
11
00
00
10
11
10
00
00
00
10
01
00
00
10
00
01
00
11
10
00
10
10
10
00
10
11
00
00
10
00
00
01
11
00
10
11
00
10
00
00
10
00
11
10
01
11
01
00
11
10
00
10
01
11
11
01
10
00
01
11
10
11
10
01
01
01
00
10
10
01
01
10
01
00
00
10
10
10
11
01
00
00
10
11
00
00
01
10
01
10
10
11
10
00
10
00
00
10
10
00
00
10
00
10
00
10
10
00
00
01
10
11
10
11
00
10
10
01
11
10
01
00
10
00
01
00
10
00
01
10
10
00
00
00
00
01
10
10
01
00
01
10
01
00
00
00
00
00
00
01
10
01
10
11
10
00
00
01
10
01
01
10
01
00
01
10
11
10
00
10
11
01
00
00
10
10
00
00
00
10
10
10
00
10
01
10
11
00
00
11
10
11
10
10
00
00
01
00
00
11
10
01
11
00
00
01
10
10
11
00
11
10
11
10
00
10
00
01
10
10
00
10
10
11
10
01
01
00
10
00
01
10
00
00
10
11
01
00
11
00
10
00
10
10
01
00
10
10
11
11
10
10
00
00
10
11
00
11
10
10
01
00
10
11
00
00
10
10
10
11
00
10
00
00
10
10
10
10
10
00
01
10
10
11
00
11
10
01
01
11
11
00
10
10
10
00
10
01
00
00
10
10
01
10
10
10
11
01
10
11
10
00
10
11
11
11
00
01
00
01
11
00
01
10
10
00
11
10
10
10
10
00
00
10
11
11
01
00
01
10
00
00
10
11
00
00
10
00
01
01
11
11
01
10
11
00
01
01
00
10
01
10
10
10
00
10
10
10
10
00
10
10
11
01
00
00
01
01
10
11
10
01
10
00
00
10
01
01
11
11
10
11
10
01
00
00
10
10
00
00
11
00
11
01
00
10
00
00
11
10
01
01
10
11
10
10
10
10
01
10
00
01
00
11
01
01
11
00
01
10
11
00
10
11
01
10
11
10
00
01
10
01
01
01
11
10
01
11
10
01
10
10
10
00
00
10
11
11
00
00
01
10
01
00
11
11
11
11
11
11
00
10
00
00
01
10
11
00
01
10
01
00
00
01
11
00
00
10
11
00
00
10
10
00
10
11
00
01
10
11
00
00
00
11
00
01
00
10
10
10
11
11
00
00
00
10
10
01
01
01
10
11
11
00
11
00
11
11
11
01
11
10
01
00
10
10
01
00
00
11
10
00
10
10
00
00
10
10
11
01
10
01
00
00
01
11
00
00
10
00
10
11
10
00
01
11
10
00
01
11
10
01
00
10
11
11
01
01
00
10
10
00
00
10
11
00
01
01
10
10
10
10
00
10
10
00
00
00
10
10
10
10
01
00
00
00
11
10
10
10
11
11
11
11
01
11
10
11
11
00
01
00
11
10
01
00
00
00
11
11
10
11
01
10
10
11
01
01
01
10
11
11
10
10
00
00
10
11
00
10
00
10
01
10
00
01
00
01
10
11
01
01
00
00
10
11
11
00
00
11
11
01
11
10
10
00
01
01
00
10
10
10
01
10
11
11
00
00
00
10
10
00
00
10
10
00
01
01
01
00
11
10
10
10
00
10
11
01
00
10
11
11
00
00
00
11
00
10
10
11
01
10
10
00
01
10
00
00
00
11
01
10
10
10
00
11
10
00
10
11
00
00
10
00
01
10
00
01
10
00
10
00
00
10
10
10
10
10
00
10
01
00
10
10
10
00
10
10
00
10
00
01
00
11
10
01
00
10
10
00
10
00
10
10
10
01
00
01
00
10
00
00
10
10
00
01
10
10
00
00
10
10
11
00
00
11
01
00
00
11
10
11
11
10
01
01
00
00
10
10
00
01
10
00
00
10
01
00
00
01
11
01
10
01
01
11
11
00
00
11
00
00
10
10
00
00
01
01
11
10
11
01
11
00
10
11
10
11
00
01
10
10
10
00
10
10
10
00
10
11
10
00
00
10
10
01
10
11
01
10
00
00
11
10
11
01
00
01
00
01
10
00
00
10
01
00
00
10
01
01
10
11
00
01
00
10
11
10
10
01
10
01
00
10
01
11
10
00
10
11
10
00
00
11
00
00
00
10
10
00
00
00
00
10
01
11
10
00
10
10
10
01
10
10
01
10
10
11
00
10
10
00
00
10
01
10
00
10
01
00
01
10
00
10
11
11
10
11
10
01
10
10
01
10
10
10
00
00
10
10
01
00
10
11
11
00
01
00
00
01
10
01
00
10
11
00
00
11
01
10
00
11
11
10
11
00
01
00
00
10
10
10
01
10
11
00
01
00
00
10
10
10
01
11
11
00
10
00
10
00
00
10
00
00
00
10
10
10
00
10
10
00
11
10
10
11
11
01
00
01
10
00
10
01
10
10
00
00
01
11
11
10
00
11
00
01
11
11
01
00
10
00
01
10
10
00
01
10
00
10
01
10
01
01
00
00
11
10
11
11
00
10
00
00
10
00
00
00
00
00
10
11
01
11
10
10
11
10
10
10
00
01
10
10
00
10
00
00
10
00
01
10
10
10
00
00
00
01
11
00
00
10
00
10
10
01
00
00
10
01
10
10
10
00
01
00
11
00
00
11
00
00
11
10
00
00
11
10
01
11
10
11
11
11
10
10
00
00
00
11
11
11
10
01
00
10
00
01
00
11
01
00
11
00
00
10
11
10
00
10
11
10
10
11
00
01
10
01
10
10
00
00
00
11
11
00
00
00
11
10
10
10
01
11
11
11
00
00
10
00
00
10
10
00
01
10
01
00
11
01
10
00
00
10
10
11
00
00
11
10
10
00
01
11
10
10
10
11
00
11
10
01
11
11
01
01
00
01
00
10
10
10
00
00
00
11
11
00
10
11
00
10
00
11
00
01
10
11
10
01
01
10
10
10
01
00
00
00
10
10
11
11
00
00
10
00
00
11
10
11
00
00
10
10
11
10
01
00
00
11
10
10
10
00
10
01
01
11
00
10
10
10
10
01
00
11
00
00
10
00
10
00
11
10
10
00
01
11
01
01
10
10
00
01
00
00
11
11
00
10
00
01
11
10
10
00
00
10
11
10
00
00
10
00
10
00
01
10
10
10
10
01
00
01
10
00
01
10
01
00
01
10
01
01
10
00
10
10
00
00
10
10
00
00
10
00
10
00
10
10
00
11
10
00
01
00
11
11
10
10
10
10
10
01
00
00
11
10
11
10
00
00
00
10
11
01
00
11
00
10
10
10
00
10
00
01
10
10
01
01
00
11
10
10
10
10
01
10
10
00
10
10
10
10
00
10
10
10
01
01
00
10
10
11
11
10
00
11
01
01
01
00
11
11
10
11
11
00
01
00
10
10
00
01
00
11
10
11
10
00
11
11
00
10
10
00
10
11
01
10
01
00
01
00
10
00
11
10
01
00
10
00
00
10
00
00
11
01
10
10
10
10
10
00
00
01
11
00
11
01
00
10
00
11
00
11
11
01
01
10
00
00
00
01
00
11
10
00
00
10
00
10
01
00
11
10
10
10
01
00
01
10
10
10
11
11
11
00
10
00
10
10
01
00
10
10
01
00
11
11
00
10
11
00
10
10
00
00
10
10
01
00
11
10
00
10
00
11
10
10
01
01
01
01
10
00
00
00
00
10
10
00
00
10
00
00
10
00
00
11
11
11
00
01
00
00
01
10
10
00
01
10
00
10
10
11
10
00
01
01
10
01
10
11
10
00
00
00
01
10
11
00
01
01
01
01
00
11
11
00
00
10
11
00
11
10
01
00
01
10
00
11
11
10
00
00
11
11
01
00
10
00
00
00
10
10
00
00
11
00
11
00
11
10
10
00
01
00
10
10
11
10
00
00
00
10
00
10
00
00
10
00
10
00
00
00
01
10
11
00
00
10
00
10
10
10
00
10
01
00
11
10
11
00
10
11
00
00
10
00
10
11
10
10
10
00
00
10
00
00
11
01
10
01
11
00
01
10
01
00
11
00
01
10
10
11
01
00
11
01
10
11
10
00
00
10
11
01
01
10
11
00
00
00
00
10
11
00
11
01
01
10
00
00
01
11
00
00
11
11
00
00
10
10
10
10
11
00
01
11
10
01
00
11
10
01
00
10
10
10
01
00
10
10
01
00
01
00
10
11
00
11
10
01
00
11
01
11
01
00
01
10
01
10
11
01
00
10
11
00
01
01
11
11
00
00
01
01
10
01
00
11
00
11
10
00
10
11
00
10
10
00
11
00
10
00
10
01
01
11
01
11
11
00
11
10
00
01
10
10
00
00
10
10
00
00
11
11
10
10
01
10
10
00
11
01
00
00
11
10
01
10
10
00
01
10
00
00
10
01
00
10
00
01
10
10
00
10
00
00
00
01
11
10
01
01
01
11
10
11
00
00
11
00
00
10
10
00
00
00
01
00
11
00
10
00
10
01
01
00
11
10
01
10
01
10
00
00
11
10
10
01
00
11
10
01
10
00
00
11
00
01
01
11
11
01
10
00
11
11
00
01
11
00
11
00
01
10
00
10
00
01
01
00
10
10
00
00
00
10
10
01
00
00
10
00
00
11
10
10
01
11
11
00
01
00
11
00
10
10
00
00
11
00
01
11
10
00
00
10
11
10
00
00
10
11
00
00
10
11
01
00
00
10
10
10
00
11
01
00
10
10
11
00
00
01
00
10
11
10
11
10
10
01
00
00
10
00
01
00
00
10
10
00
00
10
11
00
10
10
00
00
10
11
11
01
00
10
10
00
10
01
01
01
00
11
10
00
11
10
00
00
11
10
10
10
00
00
00
01
00
10
00
10
11
00
00
10
11
11
00
00
00
10
11
10
01
00
01
01
10
10
00
01
01
00
10
10
01
00
00
00
10
11
00
00
11
11
01
01
10
11
10
00
01
11
11
01
00
11
10
01
00
10
01
00
10
10
00
00
10
10
11
11
00
00
10
10
00
00
00
01
10
10
00
11
10
11
01
01
01
11
01
00
10
10
10
01
00
10
11
00
10
01
10
10
01
00
00
00
10
00
11
11
10
11
00
00
10
01
00
10
01
10
00
00
10
01
01
01
11
00
10
10
00
00
11
10
00
10
10
01
11
11
00
10
01
10
11
11
01
01
00
10
10
10
00
11
00
11
10
00
01
10
11
00
10
10
00
00
01
10
10
10
01
11
01
00
10
10
00
00
00
01
10
11
01
00
01
00
10
10
10
10
00
10
10
01
00
00
11
10
10
10
00
00
01
00
10
01
01
10
01
00
00
10
10
00
00
01
10
10
10
11
00
11
00
00
10
10
00
11
01
10
11
01
00
00
01
10
00
10
10
01
10
11
10
11
00
10
10
10
00
00
10
11
10
10
10
10
00
00
10
11
01
00
01
00
10
10
01
11
11
11
00
00
11
01
10
10
00
00
11
11
01
00
10
00
11
10
00
00
10
10
01
00
10
11
10
10
00
11
10
00
01
00
10
10
10
11
01
11
00
10
00
00
10
01
11
11
01
01
01
10
10
00
01
00
00
11
10
01
01
10
00
00
10
10
10
11
00
10
11
10
11
10
11
00
11
01
00
01
10
10
10
00
00
11
10
10
10
00
10
10
00
01
10
00
10
11
10
10
00
00
00
00
10
01
11
00
10
10
11
00
11
01
01
10
10
00
00
00
01
11
11
11
11
11
11
00
01
10
11
01
01
01
10
11
00
10
00
10
11
11
10
00
00
00
10
01
11
00
11
11
01
01
10
11
11
00
01
00
10
11
00
01
11
00
00
11
10
00
10
01
11
01
10
00
01
10
00
01
10
10
11
10
11
10
01
01
10
11
00
00
11
10
00
11
01
00
10
10
11
00
10
00
00
10
10
00
11
10
10
10
00
10
00
11
01
10
00
10
01
11
10
00
00
11
10
10
11
00
10
11
11
10
00
10
00
01
10
00
10
00
00
11
10
10
00
10
11
00
10
00
01
10
00
00
11
01
00
01
00
00
00
10
10
01
10
11
00
11
11
11
00
10
00
01
01
10
11
01
10
11
00
01
10
00
01
00
10
10
00
01
10
01
10
10
01
00
10
00
10
11
01
10
10
00
01
00
10
10
00
10
01
00
10
01
01
10
00
00
00
00
10
00
00
10
10
11
10
10
10
10
01
10
10
00
10
00
00
11
01
00
10
10
00
10
11
01
00
11
10
10
00
00
00
11
00
11
00
11
11
11
11
01
10
11
10
01
00
00
10
11
01
10
01
00
00
00
10
00
00
11
10
10
10
11
10
11
10
10
01
00
11
01
10
11
11
10
01
10
10
10
10
00
00
00
10
10
10
10
01
01
00
11
01
11
00
00
10
10
00
10
10
11
00
00
11
01
00
00
00
00
10
00
11
00
01
10
01
10
00
10
10
00
00
10
11
10
10
10
01
00
10
10
01
00
10
01
11
11
11
01
01
11
00
00
11
10
00
01
10
10
00
10
11
10
01
10
10
10
10
00
01
11
00
00
10
00
10
01
11
11
10
11
00
10
11
00
01
10
10
01
10
00
00
10
11
11
11
01
01
10
11
00
00
11
11
00
10
10
00
10
10
00
10
11
00
10
11
10
11
00
01
11
00
01
10
01
00
00
10
00
10
10
10
00
00
11
01
11
10
00
01
10
10
10
10
00
00
00
00
00
00
00
00
01
10
10
01
10
00
00
00
00
10
11
00
11
10
01
10
00
11
11
10
10
00
00
10
10
01
00
11
01
10
11
11
01
10
10
00
00
10
10
00
01
11
10
11
00
01
00
11
11
01
00
10
00
10
11
00
10
10
01
01
00
00
01
00
00
00
10
00
01
10
10
00
10
01
01
10
00
00
10
01
10
11
10
00
00
00
00
11
00
00
11
01
10
00
10
10
11
00
01
01
11
00
01
00
00
01
01
11
10
00
01
01
00
00
01
11
11
00
01
10
00
01
01
10
00
10
10
00
10
11
01
01
00
01
10
10
01
11
10
10
00
00
00
10
11
00
01
10
01
00
00
01
00
00
00
10
11
00
10
10
10
10
10
00
00
10
00
00
00
01
11
01
10
10
00
10
10
11
00
10
01
10
00
11
10
10
01
01
00
01
00
11
01
00
10
10
00
00
10
10
00
01
10
00
10
00
01
11
00
01
10
01
10
10
00
01
11
01
01
10
00
00
00
00
10
00
00
10
10
10
10
01
00
11
00
01
10
10
11
01
00
10
10
00
10
01
00
10
10
00
00
10
10
01
00
00
10
10
00
11
10
00
01
00
00
00
10
11
00
00
11
01
10
00
10
10
11
00
00
00
10
00
00
01
11
10
00
11
11
00
11
10
00
11
01
10
11
01
01
00
00
11
10
00
01
00
10
00
00
10
10
01
00
10
11
11
10
10
00
11
10
11
10
01
01
00
10
11
10
11
00
00
00
11
00
11
10
00
10
11
00
10
00
00
00
00
11
10
10
01
10
10
01
10
00
11
00
00
00
01
11
01
10
10
01
00
00
10
00
01
00
10
10
01
00
10
00
11
00
10
00
11
11
10
10
00
00
00
01
10
00
10
00
01
01
10
11
00
00
00
10
00
10
00
00
10
00
01
00
01
11
00
00
01
11
10
00
10
00
11
00
00
10
00
01
01
10
00
01
00
11
11
00
00
10
10
00
11
10
10
10
01
10
01
11
10
01
00
10
10
00
01
00
10
10
01
00
01
00
10
00
11
01
01
11
10
11
00
10
10
00
00
10
11
10
00
00
10
10
10
00
10
01
00
00
10
11
00
11
10
00
00
10
00
00
00
11
10
00
11
10
10
01
11
01
01
10
11
10
10
01
11
10
01
10
11
00
00
01
00
10
10
01
00
00
01
10
11
10
11
00
01
10
00
01
10
10
01
11
11
00
11
10
00
10
10
00
00
00
10
10
11
01
00
10
11
00
10
11
00
00
10
10
10
00
11
10
01
11
00
00
00
10
10
01
00
11
01
10
10
00
10
10
00
00
10
10
00
00
00
01
11
10
00
10
10
11
00
10
10
00
10
11
11
01
10
00
01
10
10
00
00
10
10
01
11
10
10
10
10
00
00
00
00
11
10
11
01
00
00
00
10
01
00
11
10
11
10
00
00
10
01
00
11
01
01
00
01
00
10
00
00
11
10
01
00
10
11
11
01
00
10
10
01
00
11
00
00
10
10
01
10
01
00
10
10
11
11
00
10
00
10
11
11
00
00
11
11
01
00
11
00
00
10
00
10
11
00
11
10
10
10
11
11
10
10
01
01
10
10
00
10
10
11
00
00
10
00
11
00
00
00
00
10
01
10
10
00
00
00
11
10
01
01
01
01
00
01
00
10
10
00
10
11
00
01
11
10
00
00
10
01
01
10
01
01
01
11
00
11
01
00
10
10
11
10
01
00
00
11
00
01
10
11
11
11
00
00
10
00
10
11
10
01
00
00
11
10
10
10
00
11
11
11
00
00
11
00
10
00
00
10
10
00
10
10
10
00
00
00
10
00
00
00
10
10
10
11
11
11
10
01
10
10
10
01
10
10
10
11
00
00
00
00
11
00
00
11
00
11
01
00
10
00
11
10
10
00
10
10
10
11
00
00
11
00
11
10
01
00
00
10
10
10
00
00
11
01
01
11
00
00
11
00
00
11
01
00
11
10
10
00
00
00
10
10
00
10
10
01
10
10
10
11
00
00
00
11
10
11
00
00
01
10
10
00
11
10
10
00
10
00
00
10
00
01
10
11
11
00
11
00
11
10
10
01
10
10
00
00
00
00
00
10
10
10
01
01
00
11
10
00
11
11
01
01
00
11
00
00
00
10
11
01
10
10
10
01
10
01
01
10
00
00
00
00
01
00
11
00
10
00
11
01
10
10
00
01
10
10
10
00
00
10
01
00
00
11
10
01
11
10
11
00
00
10
10
01
00
11
10
11
10
10
10
00
00
10
00
00
10
10
10
01
01
11
10
00
10
10
01
10
00
10
11
01
00
10
01
11
00
00
10
01
10
11
01
11
10
00
01
10
00
00
10
10
10
10
10
10
01
01
11
11
10
10
10
10
01
11
11
01
10
10
00
00
10
00
01
11
11
10
10
00
00
01
10
10
00
10
11
00
01
00
00
00
00
10
10
00
00
11
10
10
00
00
00
10
00
00
00
10
01
11
10
10
10
01
00
10
00
11
10
11
00
01
10
11
00
01
10
10
11
00
00
10
10
00
01
10
01
00
10
10
11
00
11
00
01
10
11
00
00
11
11
00
01
10
00
00
11
11
10
00
00
00
00
00
10
01
10
01
00
00
01
10
01
11
10
00
10
01
10
00
01
11
00
10
11
01
11
10
11
01
00
00
01
10
11
10
00
00
00
11
11
11
11
01
10
01
01
00
10
10
00
01
10
11
00
01
10
11
00
00
00
00
11
11
10
00
10
01
10
00
01
00
11
11
11
11
11
00
11
01
00
11
00
00
10
11
00
00
11
10
00
11
10
00
10
11
11
00
10
10
01
11
11
00
00
10
11
10
10
00
10
01
01
11
10
10
01
10
10
10
01
00
10
10
01
00
11
10
10
10
10
11
11
00
01
00
00
10
00
00
01
10
00
00
10
01
10
00
11
10
00
00
11
11
11
11
11
00
10
01
00
11
00
10
10
00
10
01
11
01
11
11
00
00
00
11
00
01
10
11
01
00
00
00
00
10
10
11
00
01
00
00
10
01
11
11
10
01
01
10
01
10
11
01
10
00
01
00
01
10
10
10
10
01
10
10
10
00
00
01
10
10
10
01
00
01
00
01
00
10
11
00
01
00
00
10
10
10
00
01
11
01
00
00
10
10
11
10
10
00
00
10
10
00
11
11
00
10
01
10
10
10
00
10
10
01
11
11
01
00
10
10
10
00
10
11
10
00
01
00
01
10
11
10
00
01
10
00
01
10
10
00
01
11
10
00
11
10
10
01
00
00
10
01
10
11
01
00
01
00
10
11
10
00
00
11
00
01
00
11
10
10
11
10
01
00
01
10
10
10
10
00
00
11
00
10
11
10
00
00
00
11
10
01
11
11
00
10
00
00
10
10
01
11
01
01
10
10
10
10
10
00
00
10
00
10
01
11
00
00
01
10
10
00
00
00
00
10
10
00
00
00
01
10
00
01
01
11
10
00
10
01
01
10
11
10
00
10
00
00
10
00
00
01
00
00
00
00
10
00
10
00
10
00
00
10
10
00
00
10
10
10
10
10
01
00
11
11
01
11
01
00
11
10
11
00
11
00
01
00
01
00
10
00
10
00
01
01
10
10
10
01
00
10
10
10
00
10
10
00
01
01
01
10
00
00
01
01
10
10
10
00
00
00
11
01
00
10
11
11
10
10
01
11
10
00
00
01
10
00
01
01
10
10
10
01
00
11
10
00
00
11
10
00
11
10
11
11
10
01
10
00
10
00
01
10
10
00
10
11
10
00
01
10
11
01
00
11
00
00
10
01
00
10
00
00
10
10
00
11
00
00
00
01
11
11
10
00
10
10
00
00
00
11
10
00
11
10
10
00
10
10
11
00
00
11
00
00
00
10
10
10
11
00
10
11
00
00
11
00
00
01
10
01
00
00
10
10
11
11
00
00
00
01
10
11
00
01
01
11
10
10
10
01
00
10
01
11
10
10
10
00
10
10
11
01
11
10
11
10
10
00
00
10
11
01
00
10
10
01
11
00
10
01
01
00
11
10
01
10
00
01
11
10
00
10
00
10
10
10
10
10
10
11
00
00
01
11
00
00
00
10
11
00
10
00
00
00
01
01
00
10
00
10
00
10
10
11
11
10
01
11
01
10
10
00
00
01
01
10
11
10
00
10
01
10
00
00
00
10
11
01
11
01
10
00
01
11
10
10
00
10
10
00
00
11
01
00
00
10
10
00
00
00
11
00
11
10
11
10
01
10
11
00
00
11
10
10
00
10
10
10
11
00
11
10
10
01
10
10
00
00
10
10
01
01
11
01
01
10
10
10
10
10
00
10
00
00
10
11
00
00
01
00
10
00
00
10
00
00
10
10
10
00
00
10
00
00
10
10
00
10
01
00
10
10
10
10
00
01
00
10
11
00
00
10
11
00
00
11
00
11
00
01
10
11
11
00
10
10
10
10
11
01
11
11
11
00
01
11
10
01
10
10
01
00
11
00
00
00
10
01
10
00
00
01
10
10
10
00
00
10
00
00
10
00
10
11
01
00
11
10
11
00
00
00
00
01
10
10
01
00
01
10
00
00
10
11
00
00
11
11
10
10
00
00
11
01
10
10
11
01
01
00
01
11
01
11
01
00
11
00
01
10
11
00
01
10
10
00
10
10
00
01
11
10
11
01
01
10
11
00
11
10
00
11
00
10
10
01
00
00
10
11
10
10
10
10
10
00
00
11
11
00
00
00
10
11
00
00
10
10
00
10
00
00
10
10
10
01
00
11
01
10
10
10
00
00
10
10
11
00
00
00
00
00
10
11
00
11
00
00
10
10
10
00
00
01
10
10
00
10
00
00
11
10
00
00
00
01
00
01
10
10
10
00
10
10
01
00
01
00
10
10
01
10
00
00
10
01
11
01
01
01
11
00
00
10
11
11
00
11
10
10
10
00
00
10
00
10
01
00
10
00
10
11
01
00
10
10
11
10
10
10
01
00
01
00
01
01
10
10
01
00
11
10
10
10
10
00
10
10
01
01
00
11
10
11
01
00
10
10
00
01
10
00
10
11
10
00
11
10
00
10
10
00
11
11
01
10
10
10
10
11
00
01
11
10
00
11
10
01
10
10
10
10
00
10
01
00
11
10
10
00
10
10
10
00
01
10
10
11
11
10
00
10
10
01
00
11
00
10
10
00
00
11
11
01
10
11
00
10
10
01
11
11
01
11
00
00
00
10
01
00
11
11
10
01
10
00
00
11
10
00
01
10
10
00
10
00
10
10
00
00
10
11
00
10
00
11
10
11
01
10
11
01
00
10
00
00
00
00
10
10
00
11
00
00
11
11
10
11
00
00
00
11
10
11
10
10
01
11
11
00
00
11
11
10
10
01
00
11
00
00
10
10
00
00
10
10
00
11
10
00
10
11
01
00
01
00
00
00
01
10
11
00
01
10
11
10
00
11
11
00
00
11
11
00
00
11
10
10
00
10
10
00
00
00
00
01
10
00
11
11
10
01
00
00
01
00
10
10
00
00
10
10
10
10
10
10
10
01
00
11
00
10
00
10
01
10
00
01
00
11
00
00
11
10
11
00
00
10
10
00
00
10
10
10
01
00
10
10
11
01
01
11
10
11
11
10
00
00
00
10
10
01
10
10
00
11
00
01
10
10
10
10
11
11
11
00
10
00
00
00
10
01
00
00
10
10
11
10
11
10
10
10
11
10
00
10
00
00
10
00
11
11
01
00
10
00
01
11
11
10
10
00
10
10
01
10
10
10
01
01
11
00
00
00
10
01
00
01
10
01
00
11
10
01
00
10
11
10
10
00
11
10
00
11
11
10
10
10
00
10
10
01
11
11
01
00
01
10
10
10
10
01
01
00
10
00
10
10
01
10
00
00
10
01
11
00
10
00
10
11
00
00
10
00
10
10
10
00
00
10
10
10
00
00
11
10
00
00
00
00
10
11
01
11
11
01
10
01
11
01
00
11
11
00
11
00
00
00
11
10
10
10
00
00
10
00
10
00
10
00
10
10
01
10
10
01
01
10
01
00
00
01
00
11
00
00
11
01
01
10
11
11
00
00
10
01
00
00
00
11
10
10
10
00
11
11
01
00
11
10
10
10
00
10
10
01
00
00
10
11
10
00
10
00
00
01
10
10
00
00
10
11
00
00
10
11
00
01
11
10
10
00
00
01
00
01
00
10
10
10
00
10
01
01
10
10
00
11
01
01
00
10
11
00
00
10
10
01
00
00
01
10
10
00
10
11
10
00
00
10
00
01
11
11
00
10
11
00
11
10
01
00
10
00
00
11
10
00
11
00
10
10
11
00
00
10
10
01
01
00
11
00
00
01
01
10
10
00
00
01
10
10
00
01
01
01
00
10
11
11
11
00
11
01
11
00
00
10
11
00
01
00
00
00
01
10
10
10
11
00
01
10
00
10
10
11
10
11
10
01
01
10
11
00
00
10
00
00
10
00
11
01
11
01
00
01
11
01
00
01
00
10
00
00
10
10
00
00
11
01
00
10
10
10
10
10
00
00
00
01
10
11
00
11
10
10
10
10
00
00
00
01
11
11
10
00
00
11
10
00
11
11
11
11
11
00
11
00
00
10
00
00
10
01
00
01
00
11
10
10
01
10
10
10
11
11
00
00
10
10
00
00
01
10
01
00
00
10
10
00
01
00
10
10
00
01
00
10
00
01
10
11
10
11
10
10
11
00
11
00
00
11
00
00
11
11
01
11
10
00
00
10
10
00
00
11
01
00
00
10
11
10
00
10
00
00
10
00
00
10
01
00
11
00
11
10
00
11
01
11
10
11
00
10
01
10
01
00
01
00
11
10
00
11
10
01
10
00
00
00
00
00
00
11
10
10
10
10
11
00
00
11
11
01
11
01
00
10
10
00
10
10
10
11
11
01
10
00
11
00
10
10
00
00
10
11
00
01
10
01
00
00
11
10
11
00
01
10
10
01
11
01
00
01
11
00
10
01
01
10
00
11
10
00
00
11
00
00
11
01
10
10
01
00
01
00
11
10
10
10
01
00
11
10
00
00
10
00
10
10
10
00
00
11
00
10
00
00
10
00
10
00
00
01
00
00
10
11
01
11
10
00
01
10
00
10
00
10
10
10
10
11
00
01
01
10
00
11
01
01
10
10
00
01
00
00
10
10
10
11
10
00
00
00
01
00
10
10
10
00
00
11
01
10
10
01
01
11
00
11
11
01
11
00
01
10
11
10
11
00
00
01
10
01
10
10
00
01
00
10
10
00
11
10
01
00
10
10
01
10
11
11
01
00
10
10
01
11
10
10
01
10
11
11
00
00
11
00
01
00
01
11
01
10
00
01
11
01
01
10
00
10
10
10
00
00
10
10
01
00
11
10
00
10
00
01
01
00
10
10
01
11
01
11
01
11
01
10
10
00
00
10
11
01
00
10
10
00
00
10
01
01
00
00
10
00
11
11
10
00
00
10
11
10
01
10
00
00
11
10
00
00
10
10
00
10
11
00
01
01
00
00
11
00
01
00
10
10
10
11
11
00
00
11
11
00
10
10
00
00
10
10
01
10
10
01
10
00
10
00
10
11
10
11
00
00
01
01
11
00
00
10
01
10
00
00
00
10
10
01
10
10
01
10
00
00
10
00
00
10
10
00
10
01
00
01
10
00
01
01
00
10
10
00
00
01
11
10
11
10
01
10
01
11
00
10
00
10
01
00
10
10
00
11
10
00
10
01
01
01
01
00
00
11
01
10
00
10
10
10
10
10
10
00
01
10
11
00
01
00
01
00
10
10
00
01
10
11
10
00
00
01
10
01
10
01
10
10
11
11
00
00
10
10
01
10
00
11
11
10
10
10
10
10
00
00
11
10
01
10
00
01
10
00
01
01
11
10
10
01
11
11
10
10
00
01
10
11
01
00
00
11
10
11
10
00
00
00
10
00
10
10
00
00
01
11
11
10
00
00
10
01
10
00
00
10
10
00
00
11
00
00
00
10
00
01
10
11
11
10
10
01
01
10
10
00
00
00
01
10
11
00
00
10
10
10
01
00
10
11
11
11
00
11
11
00
01
00
10
11
00
00
00
11
11
00
00
11
00
01
10
00
01
11
10
01
00
01
10
01
00
10
10
10
01
01
00
10
00
00
11
00
00
00
10
01
00
11
11
11
10
01
11
10
11
00
10
01
10
01
11
01
00
10
01
00
01
10
01
00
10
10
11
10
01
01
10
01
00
10
10
10
10
00
00
00
00
00
10
00
10
11
10
10
00
10
00
10
11
00
10
11
10
00
10
11
00
11
10
00
11
01
01
11
10
00
10
00
00
00
11
11
00
01
00
10
00
10
01
00
11
10
01
00
11
11
00
10
00
11
11
10
00
00
10
00
10
00
10
10
00
00
01
10
10
11
10
10
10
00
10
11
10
00
10
00
10
00
11
11
10
10
01
00
00
10
01
00
01
11
11
01
01
00
10
10
00
00
10
11
00
01
10
10
11
10
10
00
10
00
10
01
10
01
10
11
10
00
10
01
10
11
00
01
01
10
11
11
10
01
10
10
11
10
00
00
00
11
00
00
01
01
01
10
00
10
10
00
10
00
00
01
01
10
11
01
10
00
10
10
00
11
10
00
10
00
11
10
01
01
00
01
10
01
10
11
11
10
10
01
00
11
11
01
10
00
00
11
00
00
10
10
00
10
01
00
11
10
00
11
10
10
11
00
10
10
01
10
01
00
11
10
10
10
01
00
10
00
01
11
11
01
00
10
01
01
10
00
00
10
00
00
11
10
01
10
11
11
10
01
10
10
00
11
10
11
10
00
10
00
00
01
10
10
00
00
10
00
10
11
00
00
11
10
11
11
10
01
10
00
01
00
10
10
10
00
11
10
00
10
10
00
11
10
11
00
00
00
01
10
00
11
11
00
11
01
10
11
01
10
01
00
10
00
11
10
00
00
11
00
11
01
00
00
11
10
10
00
00
10
11
10
10
10
00
00
10
00
11
10
01
11
11
00
00
00
01
00
00
10
10
00
00
00
11
10
00
00
01
10
10
11
00
00
10
00
00
10
10
10
00
01
10
10
00
01
11
11
01
11
10
10
10
10
00
00
11
11
10
01
00
10
10
01
10
00
10
10
10
00
00
10
00
00
11
10
00
11
00
00
01
10
01
10
11
10
00
00
00
01
11
10
10
00
11
10
10
00
00
00
10
10
00
00
11
11
10
10
01
10
11
10
10
00
00
11
00
00
10
11
00
10
01
01
01
10
11
00
01
00
10
00
10
11
00
01
01
00
00
00
00
10
00
00
10
00
10
10
00
11
11
10
01
00
00
00
10
11
00
01
00
11
00
10
10
11
01
00
10
10
10
10
00
00
01
00
10
10
10
01
10
01
00
11
00
10
10
10
10
11
10
00
01
00
10
11
00
10
10
10
10
11
00
11
10
10
10
00
10
10
10
01
01
01
10
10
10
00
00
10
10
01
01
01
10
00
10
11
00
01
01
10
10
10
00
10
10
00
11
10
00
10
10
11
10
00
01
10
00
01
01
10
00
01
10
10
01
01
00
11
10
10
01
00
10
10
01
10
00
10
00
00
10
10
00
00
00
10
11
11
11
01
00
00
00
00
11
10
00
00
10
11
10
01
10
10
01
11
10
01
00
11
00
10
00
01
11
10
10
01
10
01
10
10
01
01
10
10
10
00
11
10
01
10
00
00
01
10
11
10
01
00
01
10
10
00
00
11
00
00
11
00
00
10
10
10
01
01
11
01
00
10
10
00
01
11
00
00
10
01
10
00
10
10
00
01
00
01
00
10
10
00
00
00
00
10
11
10
10
00
00
00
00
10
10
11
01
11
01
00
10
01
00
00
10
10
01
11
10
10
11
10
10
01
10
01
10
00
00
00
11
11
00
00
01
10
00
01
00
10
10
00
10
00
00
10
10
11
10
10
00
00
01
10
01
10
10
01
01
01
10
10
00
11
00
10
10
00
11
00
10
11
00
00
11
00
01
10
00
00
11
00
00
10
10
10
00
00
01
00
01
11
10
00
00
10
10
10
00
11
11
10
00
01
01
00
11
10
10
00
00
00
10
10
00
00
11
10
01
00
01
10
00
10
01
00
10
00
01
11
10
10
10
00
01
00
00
10
01
11
01
01
10
10
10
00
00
10
01
00
01
10
10
00
01
10
10
11
00
10
01
00
10
10
00
10
00
10
00
00
01
00
00
10
00
00
11
10
11
00
00
11
10
00
00
10
10
01
00
01
01
01
11
00
10
10
00
00
01
10
10
00
01
10
01
00
10
11
01
11
10
00
00
01
01
10
10
01
10
01
10
00
01
01
00
10
01
00
10
11
00
10
10
00
10
00
10
11
01
00
11
10
11
01
10
11
01
00
10
00
01
00
01
11
10
10
01
01
11
00
00
11
10
00
11
00
00
10
01
10
10
00
10
00
00
11
10
11
00
00
00
00
01
11
11
00
01
10
01
11
00
10
10
10
01
00
00
01
01
11
00
00
11
00
00
11
11
01
11
10
01
11
11
00
00
11
10
01
01
10
01
01
11
10
10
00
11
11
11
00
00
10
00
10
10
10
10
11
11
10
00
00
11
10
11
00
11
11
01
01
00
10
11
11
00
11
10
01
01
10
00
00
10
10
00
01
00
11
10
01
10
01
10
10
00
00
10
00
10
11
00
00
00
10
01
10
01
00
00
11
01
00
00
00
11
00
00
11
00
11
10
10
00
11
00
10
10
00
00
10
10
10
00
01
10
00
00
10
11
01
01
10
00
00
01
00
11
00
00
01
11
00
01
00
10
00
10
00
10
00
00
11
01
10
11
11
10
10
10
00
01
00
10
10
00
01
11
01
00
00
10
10
10
00
01
10
11
00
11
00
01
11
10
00
01
00
10
00
00
10
11
11
10
10
10
00
00
01
10
11
01
01
00
10
10
00
00
11
00
00
10
01
00
10
10
00
10
00
10
11
00
11
11
01
00
10
11
11
00
10
10
01
10
11
11
10
00
10
10
10
11
01
00
10
01
10
01
11
00
00
11
10
10
00
01
10
01
00
10
01
00
10
00
01
10
01
01
11
00
10
10
01
10
00
10
10
10
00
10
00
00
00
00
10
10
00
11
00
11
11
00
10
10
10
00
00
11
00
00
01
10
10
10
10
10
10
00
01
10
11
10
00
11
00
00
01
00
01
11
10
01
11
00
10
00
00
10
11
00
11
00
11
10
00
10
10
00
00
00
11
10
10
11
10
10
10
00
10
10
10
00
11
10
01
00
10
10
00
00
10
10
01
00
11
11
00
00
01
10
11
00
00
00
10
10
10
10
00
10
11
11
01
10
10
11
00
00
11
01
00
01
11
00
01
10
10
00
01
10
11
00
01
00
10
00
10
10
10
10
00
01
10
10
00
11
10
00
10
11
00
00
10
01
00
00
10
00
10
00
00
00
00
10
10
10
01
00
01
01
10
00
00
10
10
10
00
01
00
10
00
01
10
10
00
10
11
10
10
01
10
10
10
01
00
00
11
00
00
00
10
10
11
01
10
00
00
11
11
00
11
00
01
11
00
00
00
00
10
11
01
10
00
10
10
01
00
01
10
11
01
10
11
10
10
11
00
01
10
00
00
01
00
00
00
10
11
00
00
01
11
10
10
00
11
10
10
01
01
00
00
00
10
01
10
11
01
00
10
00
00
00
10
10
00
10
01
10
10
00
10
11
00
00
01
10
10
10
11
00
01
11
10
00
00
01
10
01
00
00
00
10
00
11
11
00
10
01
00
10
00
10
10
00
00
00
00
10
00
01
11
11
00
01
11
10
00
00
00
10
11
00
00
00
11
01
00
11
10
11
00
10
00
11
00
10
10
00
11
10
11
00
11
00
11
01
11
00
00
00
10
11
00
00
10
10
11
00
01
10
11
10
11
10
00
11
00
01
10
10
00
11
00
00
10
11
10
11
10
00
00
00
01
10
11
11
01
00
01
00
10
00
10
00
00
10
01
11
00
01
11
11
11
01
10
10
00
00
10
11
01
01
01
00
10
10
11
01
10
10
00
01
00
00
11
10
00
10
00
00
00
10
10
00
00
10
10
00
10
10
11
11
10
11
00
00
01
11
10
01
11
10
10
01
11
10
10
00
00
01
10
11
01
10
00
00
10
01
01
10
10
00
10
00
11
00
01
00
00
10
10
10
01
00
10
10
00
00
10
10
00
10
10
11
01
01
11
10
01
01
11
10
11
00
01
01
10
01
11
10
00
10
11
10
10
00
11
00
00
00
00
10
11
01
10
10
10
10
10
10
01
10
01
00
10
00
10
00
00
10
10
01
00
00
01
10
00
00
10
11
10
00
00
00
00
01
10
11
11
10
00
00
10
10
10
01
01
11
00
00
00
00
01
00
10
10
01
10
10
01
01
00
10
01
00
10
10
01
00
11
00
10
10
00
01
10
01
00
10
00
00
10
11
00
11
10
00
10
11
10
00
11
11
11
10
11
00
00
10
00
00
10
00
10
01
01
00
10
10
00
00
00
10
10
01
00
01
00
01
10
01
10
00
11
00
10
10
01
10
10
01
01
11
10
00
10
00
11
00
01
01
11
01
00
10
00
10
11
00
00
10
00
01
11
10
10
10
10
10
01
00
00
00
00
10
01
00
10
00
01
00
10
11
00
00
10
00
10
00
00
10
00
00
01
00
00
00
11
10
00
10
11
01
01
01
11
10
01
01
10
10
00
00
01
00
11
10
11
00
11
00
00
00
11
11
11
11
10
00
00
01
01
10
11
01
00
01
00
10
00
10
11
01
01
11
00
11
01
00
00
11
10
10
10
00
10
10
10
00
00
10
11
00
10
00
01
10
11
11
00
00
11
00
10
10
00
10
10
01
00
10
10
00
00
11
10
01
10
00
10
10
00
00
10
10
11
00
01
00
10
01
11
00
11
01
01
00
01
10
11
10
10
00
11
00
00
01
11
11
01
10
01
00
10
10
10
00
01
00
10
00
11
11
00
00
11
11
10
00
00
00
10
10
01
00
10
10
00
01
01
01
10
10
10
00
01
00
11
00
00
00
01
00
10
00
11
10
10
01
00
01
11
10
10
11
10
10
11
01
00
00
10
10
10
00
00
01
10
10
10
00
00
00
00
10
00
10
01
11
10
00
00
00
10
00
10
00
10
11
11
11
01
00
00
11
01
10
01
00
10
00
11
11
11
00
00
10
10
10
01
10
10
10
11
00
11
10
00
00
10
00
00
01
11
01
00
00
10
01
11
11
11
11
11
00
00
11
00
00
10
11
00
00
01
10
10
01
11
10
11
00
01
10
00
00
10
11
01
11
00
01
11
00
10
11
00
00
11
11
10
00
10
00
10
00
10
01
00
00
00
10
00
00
00
10
10
00
11
01
00
10
00
00
00
01
10
11
00
01
01
10
00
10
10
00
10
11
10
11
01
11
10
11
01
01
01
00
10
11
10
10
00
00
10
10
11
10
01
10
01
00
10
01
10
00
00
01
11
10
01
00
11
10
00
11
11
11
00
00
01
01
11
10
00
10
10
01
10
11
11
00
00
01
10
10
01
00
01
11
00
10
01
10
00
01
10
11
11
10
00
10
00
11
10
00
01
10
10
10
00
00
10
10
10
10
10
00
00
10
10
01
11
11
00
10
10
00
10
10
00
00
10
01
10
00
01
10
00
00
00
00
10
01
01
10
00
00
00
10
11
00
01
10
01
00
00
00
00
10
10
10
01
01
01
11
10
10
01
01
10
00
10
10
10
00
00
10
11
00
00
01
10
01
10
00
00
10
10
00
00
10
01
11
10
10
01
11
10
10
00
01
11
01
00
10
11
00
00
10
11
01
11
00
00
10
10
00
11
00
00
10
10
00
01
10
10
10
00
11
00
00
10
11
10
00
00
11
11
11
11
00
01
11
01
10
00
00
01
00
10
10
01
00
10
10
10
00
10
11
10
11
00
10
00
00
10
01
00
11
11
01
11
11
00
01
01
11
00
00
11
00
10
00
00
10
11
10
01
10
11
00
00
00
00
00
10
00
00
00
00
10
00
00
10
10
10
00
10
10
00
01
11
10
00
11
01
00
10
00
00
10
10
00
01
11
11
10
00
10
10
00
00
10
11
10
00
01
10
10
00
00
10
10
10
10
10
00
11
00
11
10
01
01
01
10
00
00
11
01
01
11
10
11
00
10
11
01
00
10
10
00
10
10
00
01
10
10
00
00
00
10
10
01
00
10
10
00
10
10
10
00
01
00
00
01
10
10
00
10
10
01
10
00
10
10
10
01
11
00
00
10
10
11
01
01
00
11
00
10
10
00
10
10
00
01
00
10
00
00
10
00
00
10
01
10
10
11
11
00
00
10
10
01
00
10
10
00
01
01
00
11
00
11
10
01
11
00
01
11
00
10
01
01
10
10
10
10
00
00
00
00
10
10
10
10
10
00
00
01
10
10
11
01
10
00
11
11
10
10
00
00
10
11
10
11
11
00
01
10
10
00
11
10
11
10
01
10
01
00
11
10
00
11
00
00
00
11
11
11
01
01
10
10
00
10
10
00
01
10
00
00
11
00
11
00
01
00
00
00
10
11
10
01
00
11
01
01
01
10
10
10
11
00
01
10
11
00
00
01
00
01
10
01
10
01
01
10
00
00
10
11
10
11
01
10
10
10
00
11
01
00
11
00
00
00
00
00
10
01
00
11
11
10
00
10
10
10
01
00
11
11
11
00
00
01
10
10
01
10
00
00
00
00
10
01
00
11
00
10
10
10
10
00
10
10
00
10
00
11
00
01
00
11
10
10
00
00
10
10
11
01
10
11
10
00
11
01
01
00
10
11
00
11
00
01
10
00
10
00
00
11
10
01
10
10
00
10
01
11
00
00
00
01
00
00
10
00
01
00
11
11
01
10
01
00
00
10
00
00
01
01
10
01
00
01
10
11
00
11
01
01
11
10
00
11
10
10
01
01
11
01
10
00
11
00
10
11
01
00
00
00
01
01
10
11
11
00
01
01
00
00
11
10
10
01
00
11
11
00
00
00
10
10
00
10
10
01
10
10
11
00
00
01
10
10
00
10
00
00
11
10
11
01
11
11
00
00
01
11
10
01
11
10
00
00
10
10
10
01
01
00
01
11
10
01
00
00
01
10
10
00
00
10
11
11
00
01
10
11
00
11
00
00
10
10
11
00
11
00
11
10
01
01
01
01
10
10
01
01
10
10
00
00
01
10
10
00
00
00
00
00
10
00
00
10
00
11
00
10
01
00
10
11
10
00
00
11
11
10
00
00
10
10
00
10
01
11
00
10
00
10
10
00
01
10
01
01
10
00
10
10
10
00
01
10
10
01
10
10
11
10
01
01
01
10
11
10
01
00
11
00
00
10
10
11
10
00
00
10
10
10
01
11
11
00
10
11
00
00
00
01
10
10
10
00
10
00
00
10
10
11
00
01
00
11
00
10
00
10
00
01
10
10
01
00
00
10
11
10
10
01
10
10
00
00
10
10
00
00
00
10
00
11
00
10
11
10
00
10
10
00
11
00
01
00
11
00
00
11
00
01
11
10
00
11
00
10
10
00
00
11
11
01
10
11
01
01
10
10
01
00
00
11
10
11
10
00
10
10
00
01
00
10
00
00
01
10
00
10
00
00
10
01
11
10
01
00
01
10
11
00
00
00
10
01
00
11
01
01
11
01
11
10
01
00
10
01
00
00
10
10
01
01
01
11
00
10
00
10
01
00
01
00
01
00
11
10
11
10
00
00
00
00
10
10
01
10
10
01
11
00
11
00
01
10
00
10
11
00
00
01
00
00
00
11
10
11
11
00
01
10
11
01
10
00
01
01
10
11
01
10
11
10
00
10
01
00
00
00
11
01
00
11
10
01
11
01
00
10
11
00
01
11
00
00
11
11
00
10
10
11
01
00
10
01
00
11
01
00
10
01
00
10
01
00
00
00
10
00
01
10
10
11
00
00
00
01
01
10
00
11
00
11
10
10
10
01
01
10
10
00
10
10
10
10
01
01
00
00
11
10
00
00
11
10
10
01
00
11
01
10
01
00
00
10
10
11
00
00
11
00
00
10
00
10
00
00
11
00
10
11
01
10
01
10
10
01
00
00
00
00
10
10
10
00
00
10
00
10
00
00
01
11
11
00
11
01
01
00
11
10
00
11
01
11
11
10
01
01
11
01
11
00
00
00
10
00
00
10
10
10
10
00
10
10
10
11
00
10
00
00
10
10
10
00
10
10
00
10
01
11
00
00
11
10
10
01
10
00
01
10
00
10
00
11
10
00
01
01
10
01
00
10
11
10
01
10
11
00
01
00
10
10
10
10
00
00
10
10
00
11
01
10
10
01
10
10
00
11
00
10
00
00
00
10
11
00
00
10
00
01
11
01
01
01
10
10
10
00
00
11
10
01
01
10
10
00
10
01
00
10
00
00
00
11
00
01
10
11
01
10
00
01
10
11
00
01
01
00
11
11
10
10
00
01
11
10
00
00
10
10
10
00
01
11
01
01
10
11
00
10
11
01
00
11
11
00
10
10
00
00
01
10
10
10
00
00
00
10
01
11
10
10
00
01
01
00
00
11
11
00
00
00
10
10
00
10
01
10
00
10
11
01
01
11
00
10
10
01
11
10
00
00
10
00
00
00
10
00
00
00
00
10
10
11
00
00
10
00
11
10
00
00
10
11
00
10
00
01
10
10
11
01
10
00
00
00
00
11
10
01
11
10
00
00
11
10
00
10
10
01
10
10
00
10
11
11
00
10
11
11
10
01
00
00
00
10
00
01
10
10
10
01
10
10
00
00
00
11
00
01
11
11
00
00
10
00
01
10
01
10
11
00
11
10
11
01
00
01
11
00
11
00
00
11
00
00
00
00
10
01
01
00
00
00
00
00
01
10
10
11
11
10
11
10
00
00
00
10
10
01
00
00
00
10
01
01
01
00
10
00
10
11
00
10
10
11
11
00
10
01
00
11
00
10
10
11
00
10
00
00
00
00
10
10
00
10
00
00
00
00
00
11
10
01
11
10
00
00
10
11
10
01
01
11
10
10
10
00
01
01
10
10
10
00
00
00
01
00
11
10
01
00
10
10
00
00
00
00
10
01
10
00
00
10
01
00
10
00
11
11
00
10
11
11
11
00
11
01
11
00
00
11
11
00
11
10
01
00
10
01
01
11
10
00
11
10
00
10
10
10
10
11
01
10
10
01
00
00
00
11
11
11
01
01
01
10
11
00
01
10
10
10
00
00
11
11
10
10
10
11
11
01
11
00
00
10
00
00
00
10
10
00
11
10
10
10
10
00
01
10
00
10
01
10
11
01
11
10
01
11
01
00
10
00
00
00
10
00
10
00
00
11
10
00
01
11
10
11
11
00
00
10
11
00
01
10
00
00
00
00
10
01
10
10
10
00
01
11
11
01
00
10
10
11
00
11
10
01
00
00
00
10
01
01
00
10
10
00
00
10
00
00
10
10
00
10
10
10
11
10
10
10
00
00
00
00
10
11
01
00
01
01
10
10
00
00
01
00
10
11
00
01
10
01
01
10
10
00
10
10
00
00
10
11
10
00
10
01
00
00
01
11
01
11
00
11
11
00
00
01
00
10
10
00
10
11
10
01
10
10
10
00
00
01
10
10
11
00
11
00
01
01
11
10
00
11
10
10
01
00
10
01
11
10
11
00
10
10
10
10
10
10
00
10
00
00
00
11
10
01
11
00
10
11
10
00
10
10
01
10
10
11
10
00
01
10
00
00
10
00
00
10
00
00
01
00
11
00
01
11
01
11
10
00
00
01
10
11
00
10
11
01
00
00
01
01
01
01
00
11
00
11
11
01
10
10
00
00
10
10
00
11
10
10
00
00
01
10
11
00
10
10
00
10
11
10
00
10
10
01
10
11
01
00
00
00
10
11
10
00
10
10
00
10
00
00
00
00
00
11
11
00
11
00
00
11
11
00
11
01
00
11
11
10
00
10
10
10
10
01
00
00
10
11
10
10
01
10
10
11
01
01
01
11
00
10
00
01
01
10
01
11
11
10
00
00
10
00
00
10
00
11
11
10
10
00
00
10
00
10
01
10
01
00
11
00
11
01
11
01
00
00
10
01
01
10
11
00
11
00
10
00
00
00
00
11
10
00
00
10
01
00
10
11
00
00
10
00
11
11
00
00
11
10
10
10
10
00
00
11
11
11
00
10
01
00
00
10
10
00
10
01
00
11
00
00
11
10
01
00
01
10
10
10
00
00
10
01
10
00
00
00
10
01
11
11
01
10
11
01
11
10
01
10
00
01
10
01
00
10
10
10
01
10
00
01
10
10
10
11
10
00
10
10
11
00
00
11
00
00
00
00
01
11
01
00
10
10
00
10
10
10
00
00
10
00
10
11
01
11
10
00
00
01
10
00
01
11
10
00
00
01
10
00
00
11
10
11
00
10
10
00
00
11
01
00
00
01
00
00
00
01
00
10
11
11
11
10
00
11
01
01
10
11
00
10
00
01
00
00
00
10
01
00
10
10
10
00
10
00
00
00
10
01
10
01
10
10
00
00
11
10
10
00
10
10
00
11
00
10
01
10
00
11
10
01
01
10
10
11
11
11
11
01
01
10
10
00
10
10
10
00
01
00
11
10
10
10
10
00
01
00
11
10
01
00
10
00
10
10
00
11
01
10
00
10
01
10
01
01
00
00
11
11
11
01
01
10
11
10
00
11
11
01
00
00
10
10
00
11
11
01
10
00
00
10
00
00
00
10
00
01
11
10
01
00
10
00
10
11
00
01
10
10
10
00
00
10
10
10
00
00
00
10
00
00
10
10
00
01
10
10
00
01
01
00
10
10
10
01
10
11
01
10
00
01
00
10
00
10
00
00
00
00
10
11
11
00
10
10
01
01
00
00
11
01
00
01
10
11
01
00
00
00
10
10
11
10
10
00
10
00
11
00
00
11
10
10
01
10
00
00
00
10
00
10
01
00
11
11
10
10
10
01
10
11
11
10
11
01
01
11
00
00
11
10
00
00
00
11
00
00
10
11
00
00
01
10
11
01
00
00
11
10
01
10
11
10
11
00
10
11
10
10
00
01
10
00
01
01
10
00
10
11
10
01
00
00
11
11
00
10
00
10
01
01
01
00
11
00
00
00
01
00
10
00
00
00
10
01
10
10
00
00
10
11
01
10
01
00
00
01
00
00
10
11
10
00
00
00
11
10
11
00
00
11
00
01
11
10
00
01
00
10
10
10
10
10
11
00
00
10
00
00
10
01
10
11
00
00
00
00
10
10
01
01
10
11
01
10
11
01
10
00
11
00
10
10
01
10
01
00
00
01
10
10
00
01
10
11
10
00
10
00
01
11
00
00
11
00
10
10
00
00
10
10
00
00
00
10
11
00
10
01
10
10
00
10
11
00
00
00
10
00
00
10
11
00
01
10
10
10
01
00
00
00
10
00
10
00
00
10
00
10
00
00
00
00
00
01
01
10
00
00
00
10
00
11
10
10
11
11
10
01
00
10
10
00
00
00
00
10
11
10
00
00
00
00
01
00
10
10
00
00
01
00
00
01
00
00
10
11
10
00
00
11
00
01
01
11
01
11
10
01
10
10
00
00
10
10
01
10
00
01
01
10
00
00
10
00
01
10
10
01
00
10
00
00
00
00
11
10
10
10
11
01
10
01
00
10
11
00
10
11
11
00
11
11
11
00
01
01
01
10
11
10
00
00
10
00
00
10
11
10
00
10
01
01
01
00
11
00
00
10
11
10
00
10
10
11
10
01
00
00
11
10
11
10
10
10
10
10
00
00
11
01
01
01
10
00
01
01
10
10
11
10
10
00
00
11
00
01
01
10
00
00
00
01
11
10
00
10
10
11
11
00
11
01
00
10
10
10
10
10
00
00
00
00
10
01
00
10
00
11
10
11
10
00
00
11
00
01
10
01
10
11
00
10
01
10
11
00
00
10
10
00
10
00
01
10
11
10
11
10
10
01
00
00
10
11
00
10
00
01
10
00
10
10
10
00
11
10
00
00
11
01
10
01
10
10
00
10
00
10
00
00
00
11
11
11
01
01
00
00
00
11
00
00
10
10
10
10
10
00
11
01
01
10
00
10
10
10
01
10
10
01
00
10
10
00
10
00
10
10
10
00
00
00
00
10
10
11
00
10
00
10
10
00
01
10
10
00
11
00
00
00
00
10
11
11
00
00
10
00
10
11
00
10
10
00
10
10
10
11
01
00
10
10
01
01
11
10
10
01
10
01
00
10
10
01
01
00
00
10
10
10
10
00
00
11
11
00
10
10
01
10
10
00
01
10
11
10
10
11
00
10
00
00
11
10
10
00
00
10
10
10
11
11
00
00
00
10
11
10
01
00
11
00
11
00
10
10
01
00
11
00
01
10
10
11
11
10
00
01
10
10
00
01
10
00
00
10
00
00
10
00
10
00
10
10
01
00
10
01
01
01
01
00
00
01
11
10
11
01
11
01
00
00
11
00
10
10
00
00
00
00
01
11
11
01
00
10
00
11
10
10
10
00
00
01
00
11
10
00
00
01
00
11
00
11
11
01
11
00
01
10
01
00
10
11
00
10
11
10
00
00
00
11
10
00
11
00
11
11
00
11
00
00
11
10
10
11
00
01
10
01
10
00
11
11
10
00
00
10
10
00
00
00
00
10
01
00
01
00
11
00
10
00
01
11
11
00
01
10
10
10
10
00
00
11
10
00
00
10
10
01
00
10
00
10
11
01
10
00
01
00
10
10
00
00
01
10
10
01
11
00
10
10
11
10
10
11
00
01
10
00
11
01
11
01
01
10
10
00
00
01
10
00
00
10
01
00
11
10
10
00
10
01
10
11
01
00
11
11
00
00
10
10
01
10
10
11
00
11
00
00
01
11
11
01
00
10
11
00
11
00
00
10
10
00
00
10
11
11
00
00
11
00
00
10
10
00
00
00
00
10
01
00
00
10
00
00
00
00
11
00
11
00
00
11
00
00
00
01
11
10
10
00
10
11
00
00
00
00
10
10
10
01
10
11
01
10
00
11
00
01
10
00
10
11
00
10
00
00
11
00
01
10
10
00
00
10
10
10
00
10
10
00
00
00
01
10
11
00
11
10
10
00
00
00
10
00
11
10
11
10
01
00
10
01
00
11
11
00
00
00
10
00
11
10
00
00
00
10
10
00
00
10
11
11
11
11
00
11
00
11
00
00
10
11
01
00
11
10
00
11
10
11
11
01
01
10
11
10
01
00
10
00
00
10
10
00
10
11
00
10
00
10
10
00
00
01
10
11
11
10
11
00
10
10
00
11
11
10
01
00
01
01
11
10
10
10
01
10
10
00
10
00
00
01
11
10
01
11
11
11
10
00
00
11
10
01
00
10
10
01
01
01
00
10
00
11
01
00
00
10
00
10
11
10
10
10
01
01
10
10
11
01
00
10
10
10
01
00
00
01
10
00
00
01
10
00
01
10
11
00
01
00
00
00
00
00
11
10
01
00
11
00
10
01
11
10
00
00
10
11
11
10
10
11
00
00
00
01
00
00
11
11
01
01
10
11
10
00
10
10
01
01
10
11
01
00
11
01
10
10
11
00
11
10
01
00
00
00
01
01
10
11
00
00
00
01
11
10
10
00
00
10
00
11
01
11
10
00
00
00
10
11
00
01
10
00
00
11
11
01
00
10
10
01
10
00
00
10
10
00
11
10
01
01
00
01
10
11
00
10
11
01
11
11
00
10
10
11
00
10
10
00
00
10
01
00
10
00
10
00
10
00
00
00
10
10
00
00
00
00
10
10
01
00
01
11
01
01
11
00
00
10
10
10
10
00
00
11
11
01
00
10
01
10
00
00
11
00
10
10
10
11
00
10
10
10
01
00
01
10
01
10
10
01
00
01
01
00
00
01
11
10
00
00
10
11
11
00
00
11
00
01
10
11
10
10
11
00
10
11
00
00
11
00
00
11
10
10
00
00
10
10
10
00
01
00
01
10
10
10
00
11
11
10
00
10
00
10
11
11
10
00
00
10
00
10
01
00
10
00
11
00
00
10
01
11
11
00
01
10
11
10
10
00
11
11
10
11
00
00
11
00
00
00
10
11
10
10
00
11
11
00
10
10
00
11
11
00
01
00
01
10
10
00
10
10
00
10
11
00
10
00
00
10
00
01
00
10
00
01
10
01
01
10
10
11
00
00
11
10
10
01
00
11
01
00
00
01
11
10
10
00
00
00
10
00
01
00
00
00
10
10
00
00
10
00
01
00
01
10
11
10
00
00
10
10
00
11
11
01
11
10
01
00
00
00
11
10
10
00
00
00
01
10
10
11
00
00
00
10
00
00
10
00
00
10
10
10
11
11
10
10
00
01
00
00
11
11
01
00
01
00
00
10
01
10
10
01
10
10
00
00
10
10
00
11
00
00
11
00
00
10
01
11
01
11
00
10
10
00
00
10
10
00
01
10
10
11
00
10
00
00
11
10
11
10
00
01
00
10
01
00
10
10
00
00
10
10
00
11
10
01
11
10
11
10
00
10
10
01
10
10
00
00
10
00
01
01
10
11
10
10
01
11
00
10
11
00
11
10
00
00
10
10
11
00
00
01
00
01
11
11
10
11
10
10
10
01
01
10
01
00
00
11
11
10
00
00
10
10
01
00
00
11
11
10
00
10
11
11
00
01
10
01
00
00
10
10
00
10
11
00
00
10
11
00
01
00
10
10
10
00
10
11
00
11
10
10
11
10
00
11
00
01
10
10
10
00
10
10
10
00
10
11
00
00
00
00
00
00
01
00
01
10
11
00
10
10
00
10
10
10
00
10
11
00
00
01
10
00
00
00
10
00
00
10
10
00
00
00
10
10
00
10
00
11
00
11
10
01
10
10
00
01
00
10
01
01
01
00
00
10
01
00
10
10
11
10
00
10
10
00
00
00
10
00
10
00
00
11
00
10
11
10
10
01
01
10
11
10
10
00
00
10
11
01
00
10
10
10
00
00
01
10
10
11
01
01
10
00
11
10
01
00
11
10
10
01
00
00
00
01
10
10
01
10
10
00
11
01
10
00
00
00
01
10
10
00
10
10
01
01
00
11
00
00
11
00
01
10
10
11
01
10
10
00
00
11
10
01
01
10
10
10
11
01
01
11
10
10
10
10
01
11
00
00
00
00
01
00
10
11
00
11
00
01
00
10
01
00
01
11
10
00
10
11
01
00
10
00
00
01
01
11
00
11
01
10
00
01
10
01
11
11
11
00
00
00
00
00
11
10
01
10
01
00
00
11
10
01
00
00
10
00
11
01
00
11
01
11
00
10
11
00
11
01
00
10
01
10
01
00
01
01
10
11
11
00
10
10
00
10
10
10
10
00
01
10
00
10
10
01
10
11
10
00
10
10
01
01
00
10
00
00
10
10
10
00
00
00
00
11
10
10
10
10
11
00
11
10
01
01
11
10
11
01
00
01
10
10
11
10
10
01
01
10
10
11
01
00
01
00
11
01
01
10
10
11
01
10
10
10
00
01
10
11
11
00
01
11
01
01
00
11
11
00
00
00
00
10
10
10
11
01
00
11
00
10
10
10
10
10
01
00
10
01
01
10
11
11
10
00
11
10
00
01
01
01
10
01
00
11
11
00
10
11
00
00
10
10
00
00
10
11
00
00
10
11
00
01
10
10
10
01
00
11
01
10
00
11
10
00
01
10
10
10
00
00
10
10
01
00
10
10
10
11
00
11
00
00
00
10
00
00
01
10
10
00
10
10
10
10
00
11
10
11
00
10
11
10
10
00
00
10
10
10
10
00
00
10
10
00
11
11
10
00
01
00
10
11
00
00
10
00
11
00
10
11
01
10
11
00
11
11
11
00
01
01
11
10
01
00
10
10
01
11
11
01
00
10
00
10
10
10
01
00
10
00
10
01
01
10
10
00
00
00
01
01
00
10
11
11
11
00
11
10
00
01
10
00
00
10
10
10
01
11
10
00
00
11
10
01
10
00
00
10
10
00
01
11
01
10
10
01
10
00
00
10
10
01
00
10
11
00
00
10
10
10
10
01
00
00
11
10
01
00
10
11
00
10
10
01
00
00
01
11
11
00
10
01
00
10
01
11
11
10
10
00
01
00
10
11
00
01
11
10
11
10
00
00
00
00
11
10
01
11
01
10
10
00
11
11
00
01
00
11
10
00
10
01
10
10
01
00
10
00
00
11
10
00
10
11
01
10
10
00
11
10
00
00
10
11
10
01
00
10
00
00
11
01
11
10
10
00
00
00
00
11
11
00
10
10
10
00
00
01
11
10
00
11
00
10
10
00
00
01
11
01
01
10
10
11
10
01
01
11
11
00
11
01
01
10
10
10
00
01
10
00
00
10
00
10
10
00
11
01
10
00
00
01
00
00
10
11
00
10
00
00
01
01
10
11
11
10
11
11
01
00
11
10
10
10
01
00
10
10
00
10
10
00
01
00
00
10
10
10
10
01
10
01
10
10
10
00
01
01
00
11
10
10
10
10
10
00
00
00
01
11
10
01
00
11
10
00
00
10
10
11
11
01
00
10
01
10
01
10
10
10
10
01
01
01
11
00
01
10
10
10
01
00
01
01
11
11
00
00
01
10
10
10
01
01
11
11
10
00
00
01
10
00
10
01
10
10
00
11
10
00
10
10
01
10
01
00
00
01
01
10
11
01
00
01
00
10
10
11
00
00
00
10
00
10
00
00
10
11
10
00
00
10
00
10
11
11
00
11
10
00
01
10
10
00
11
00
10
10
00
11
10
10
01
01
10
01
00
10
01
11
11
00
10
11
10
00
10
10
01
00
11
00
11
01
00
10
11
11
01
10
11
00
01
10
11
10
10
00
00
11
11
00
00
10
10
00
00
10
00
10
10
10
00
10
10
00
00
10
10
10
10
01
11
00
01
10
10
10
11
01
10
11
00
10
11
10
00
01
10
10
10
01
10
11
01
00
10
11
00
11
11
01
01
11
00
10
00
01
00
10
10
00
00
00
10
10
01
01
11
11
10
01
11
00
10
10
00
10
10
00
00
11
10
10
00
00
00
00
00
10
10
00
00
11
01
10
00
11
10
01
00
00
10
00
00
11
00
00
00
01
10
00
00
10
11
00
00
10
00
10
11
00
00
00
11
10
10
10
10
11
00
00
10
10
01
00
10
10
10
00
11
01
00
10
00
11
10
10
11
00
01
10
11
00
11
11
11
10
10
11
00
01
10
10
00
10
01
10
10
01
00
11
10
10
11
00
00
00
10
10
11
10
10
00
10
01
10
01
00
00
00
01
10
11
01
01
10
10
10
11
01
01
10
11
10
00
10
01
00
10
10
00
10
00
00
10
11
10
01
01
10
00
01
10
10
00
11
10
11
01
00
00
01
00
10
10
01
00
10
10
10
01
10
10
00
10
11
11
01
11
11
01
11
00
00
01
10
00
11
10
00
10
10
00
10
00
00
11
10
10
00
10
10
00
11
11
10
00
00
00
01
10
00
10
11
00
10
00
11
10
00
00
00
00
10
00
10
10
10
10
10
10
01
11
00
01
01
01
11
01
11
11
00
00
00
10
10
00
01
11
00
11
01
01
11
11
11
01
10
11
00
10
10
00
00
10
01
01
01
01
10
11
10
00
10
10
01
00
11
10
10
10
10
00
00
01
01
11
11
11
10
11
00
00
10
11
00
00
00
10
00
00
10
00
10
11
00
11
10
11
01
00
00
01
10
10
10
01
00
11
11
00
01
00
00
10
00
00
00
10
11
00
01
00
10
00
11
11
10
00
00
10
11
10
00
11
10
10
00
10
00
10
00
01
10
00
10
11
10
00
01
00
11
01
00
10
00
00
10
10
00
10
10
00
11
00
11
10
00
00
10
10
00
10
10
00
11
10
00
11
11
11
10
00
10
10
00
11
00
01
10
00
00
11
10
10
11
01
00
10
01
01
10
00
00
10
00
01
10
10
11
00
00
10
10
11
10
10
00
01
10
00
10
00
10
11
01
10
10
00
00
00
00
00
10
11
11
00
00
00
00
00
10
11
10
00
10
00
00
00
00
10
01
10
00
10
11
10
10
10
00
00
10
00
10
01
00
00
10
01
10
00
01
10
11
10
00
11
01
11
01
11
01
10
00
01
11
11
01
01
10
11
11
10
10
10
10
00
10
11
00
10
00
00
11
01
10
10
10
10
01
10
00
00
10
00
10
10
00
00
10
01
10
10
10
10
01
10
01
00
10
00
11
10
11
00
01
10
01
10
00
10
00
10
10
10
01
10
10
00
10
11
01
01
10
11
00
10
11
11
10
00
11
11
00
01
11
00
10
00
01
10
00
00
00
10
11
10
11
10
10
10
00
10
00
00
10
10
01
01
00
10
00
00
01
00
10
00
00
00
01
11
11
00
00
10
00
00
10
10
00
00
00
00
10
11
11
10
00
10
01
01
00
00
11
11
11
01
00
10
00
01
11
00
00
10
00
00
10
01
00
11
00
01
01
11
10
10
10
01
10
01
00
11
11
11
10
01
11
00
00
11
10
00
01
01
10
11
10
11
00
00
00
10
10
00
00
10
10
00
00
11
10
11
10
00
01
10
01
10
01
10
01
00
11
01
00
00
10
00
01
01
10
01
10
11
10
00
00
01
00
10
01
11
10
00
01
01
00
00
00
10
00
11
11
11
10
00
10
00
01
00
10
11
00
10
11
01
00
01
00
01
11
11
00
00
10
11
00
01
10
10
01
11
11
10
10
00
00
01
11
11
00
10
01
10
00
00
00
10
00
00
00
10
10
00
10
10
01
00
01
10
00
10
00
00
01
00
10
00
01
00
10
00
01
01
00
11
10
11
00
00
10
00
00
11
11
00
11
01
10
01
01
11
10
10
00
01
00
11
10
00
00
00
00
10
01
00
01
10
00
00
00
00
01
00
10
10
10
11
00
10
10
10
01
00
00
11
10
00
10
00
00
00
01
10
01
00
11
00
10
00
10
11
00
10
10
10
11
11
00
11
11
01
11
00
00
01
10
10
00
10
10
11
01
00
01
11
10
11
01
00
10
10
01
10
00
01
01
11
00
00
11
10
11
01
00
11
00
01
01
11
10
01
00
11
00
00
01
10
10
01
11
11
01
10
11
00
00
10
01
10
10
10
01
00
11
11
10
01
11
10
10
01
01
11
10
00
00
11
00
00
10
10
00
00
10
10
00
10
00
01
10
10
00
10
10
00
10
01
00
00
01
11
11
10
00
10
00
10
00
01
10
10
00
00
11
00
00
00
11
10
00
10
00
10
01
11
10
00
01
10
01
01
01
11
10
01
10
10
00
10
11
00
10
00
00
00
11
00
10
00
10
00
11
10
00
00
10
10
10
00
00
10
10
00
10
10
11
00
00
10
10
00
10
10
00
10
11
10
01
10
10
00
10
00
00
01
10
10
00
00
10
10
11
01
10
00
00
00
10
10
01
01
10
11
00
01
01
10
10
10
01
00
00
10
11
10
01
00
01
11
01
01
11
11
11
10
00
00
00
00
10
10
01
10
00
10
10
10
11
10
10
00
11
10
10
00
00
00
11
00
11
00
00
10
10
10
01
01
10
00
01
01
00
10
01
00
11
10
00
01
00
11
11
01
01
01
01
10
11
10
00
00
10
11
00
01
10
10
00
00
01
00
10
11
01
01
00
01
00
11
10
10
00
01
00
11
10
00
00
11
00
00
01
10
10
00
10
00
10
10
10
01
00
00
00
10
00
10
10
01
10
10
01
00
10
10
11
01
10
00
11
01
10
10
00
10
00
10
01
00
10
11
00
01
11
11
00
10
11
11
11
01
01
11
10
01
10
01
11
00
00
10
11
11
00
01
10
00
10
01
00
01
11
11
00
10
10
11
00
00
10
10
01
00
10
11
00
00
11
10
00
11
00
01
10
01
10
10
00
10
00
01
00
10
10
10
00
00
10
11
10
10
00
00
00
00
10
00
00
01
10
10
01
00
00
11
11
11
10
00
10
00
10
10
00
00
11
01
01
11
00
00
10
10
01
01
01
10
10
00
10
10
10
10
01
00
00
11
11
10
10
00
00
10
10
01
10
01
00
10
10
01
00
00
00
11
00
00
00
11
10
10
10
10
01
01
10
10
10
00
10
01
01
11
00
01
10
10
10
01
10
10
00
11
01
00
00
01
00
11
10
11
00
00
01
10
10
01
00
11
00
00
00
11
11
00
10
11
00
00
00
10
01
00
10
00
00
00
10
01
10
01
10
11
01
10
00
00
10
11
00
00
10
00
11
10
00
00
00
11
01
00
10
00
11
10
10
11
10
10
00
00
00
00
11
10
00
00
10
10
00
10
10
10
00
01
11
10
01
11
00
00
01
00
10
10
01
00
10
10
00
10
10
00
00
00
00
00
10
00
00
00
11
00
10
11
00
00
00
00
00
01
11
11
00
10
11
11
01
01
10
11
11
10
11
00
00
10
10
00
00
01
00
00
01
10
01
00
01
10
01
01
00
00
01
10
01
00
11
11
00
00
01
00
10
10
10
10
00
00
11
01
10
01
11
11
00
00
00
10
00
01
01
10
11
00
00
00
00
11
00
10
10
10
00
00
01
01
01
10
11
01
10
00
11
10
10
01
01
00
10
11
00
00
01
10
00
10
10
00
00
00
11
00
01
10
10
10
11
10
01
00
01
10
00
10
10
01
00
10
11
00
00
11
01
01
00
11
00
10
10
00
10
10
10
00
00
10
11
10
10
10
10
00
10
10
00
01
10
10
00
01
00
10
00
01
10
01
00
10
00
00
10
10
01
10
01
00
10
00
10
01
00
10
11
10
11
11
10
00
10
10
00
11
10
00
01
00
01
00
00
00
00
01
11
00
00
10
10
00
11
00
10
10
00
01
01
11
00
00
01
10
11
00
10
10
00
00
11
00
00
11
00
00
01
00
11
00
10
00
10
11
00
10
00
11
10
00
10
01
00
01
00
01
10
10
00
01
00
11
10
11
01
00
10
00
01
00
10
01
00
01
10
00
00
00
00
01
10
10
01
00
11
01
10
01
01
10
10
11
01
01
10
11
01
10
10
10
01
00
01
10
11
00
11
11
00
00
10
10
00
00
11
00
00
10
10
01
10
01
00
00
00
10
00
11
10
01
00
00
01
00
00
10
10
00
10
00
10
10
00
10
10
10
11
10
01
00
01
10
11
11
10
00
00
00
10
01
00
00
11
10
11
00
00
11
00
00
11
10
00
10
10
00
01
10
11
00
11
10
01
11
11
00
01
01
11
10
00
00
11
00
00
11
10
00
10
00
00
11
00
11
10
10
10
00
11
11
00
10
00
00
00
10
11
10
00
00
10
00
01
00
01
10
10
10
10
10
11
00
01
00
10
00
10
00
10
11
10
00
11
11
10
00
00
00
11
11
10
10
00
00
00
00
00
10
10
00
00
00
10
00
11
11
10
00
11
10
10
10
01
00
11
11
10
11
11
11
00
01
00
10
10
01
10
01
11
10
10
00
00
00
00
00
10
10
00
01
11
01
10
10
01
01
10
01
10
11
10
00
10
00
01
11
11
10
00
00
10
01
00
10
10
10
10
10
01
10
01
00
00
10
10
11
10
10
01
10
10
10
01
00
10
00
10
11
01
10
10
10
10
00
10
11
11
10
00
11
11
00
01
00
10
11
01
10
10
00
00
10
11
10
01
10
10
10
11
01
10
11
00
00
10
10
11
00
00
10
11
01
00
10
10
00
01
10
01
10
00
00
10
01
10
10
01
11
00
00
01
11
10
01
00
00
11
11
10
00
10
11
01
10
01
10
10
00
01
01
00
01
10
00
00
01
10
01
01
10
10
10
00
00
11
10
11
00
00
10
11
10
01
10
10
00
00
10
00
10
11
11
11
10
01
10
11
00
10
10
01
01
00
11
01
00
00
11
11
00
11
00
00
11
11
01
00
00
10
00
10
00
00
11
10
10
00
01
01
11
11
00
00
00
11
00
10
00
10
00
00
10
01
01
11
01
10
11
10
00
11
10
00
01
10
01
10
11
10
00
00
11
00
11
01
00
11
11
00
00
00
11
11
11
00
01
00
10
00
00
10
11
00
01
00
11
10
10
00
11
11
00
00
11
00
00
00
10
00
00
10
10
00
00
10
00
00
00
11
01
00
00
11
00
10
10
00
11
00
00
10
10
11
00
00
10
00
00
00
00
11
00
00
01
00
11
11
11
10
00
10
10
00
11
11
00
00
11
00
01
10
10
10
10
10
01
00
11
10
00
11
11
00
01
00
11
10
10
00
10
00
10
00
00
10
00
01
11
10
00
00
00
00
00
11
01
01
00
00
10
00
00
10
01
00
00
11
01
10
10
10
11
11
01
00
00
01
10
11
00
10
10
01
00
11
00
01
11
01
10
10
10
01
11
00
10
10
00
00
10
01
11
10
00
10
10
00
10
00
00
11
10
00
00
01
00
11
11
11
00
10
00
00
11
10
01
01
11
11
00
00
11
00
01
10
10
01
11
10
01
00
11
10
01
10
10
01
00
00
10
00
00
01
11
10
10
10
10
11
00
01
10
10
00
00
10
10
10
00
11
00
10
10
01
00
00
00
11
01
00
01
01
11
00
01
10
10
10
01
10
10
10
10
00
01
00
00
10
10
01
10
10
00
10
00
00
00
10
01
01
10
11
01
01
00
00
11
10
10
00
10
10
01
00
10
10
00
00
10
00
00
00
10
10
11
11
10
00
00
10
01
11
00
01
00
11
11
10
10
10
01
00
10
00
00
00
00
00
00
11
11
10
01
00
10
10
11
11
10
00
00
11
10
01
10
10
10
11
01
01
01
10
00
10
10
10
11
01
10
01
00
10
01
10
11
00
10
00
00
10
00
10
10
10
01
10
10
00
10
10
11
00
00
10
10
11
10
00
11
00
01
01
10
10
00
10
10
01
01
11
10
11
00
10
00
10
11
00
00
00
11
10
01
00
00
10
10
10
10
00
10
00
10
11
10
00
00
00
11
01
10
10
11
00
00
00
00
11
00
10
01
00
10
10
10
00
11
00
00
11
00
10
00
00
00
10
00
00
11
01
10
00
10
11
01
10
01
01
10
11
00
11
10
10
01
10
10
00
11
01
10
00
11
10
10
10
00
00
00
00
11
10
01
11
10
00
10
01
11
11
00
00
11
00
10
10
11
00
00
10
10
10
01
10
00
11
10
01
00
10
00
01
10
10
00
00
10
00
10
10
11
10
11
01
00
11
10
01
01
01
11
10
01
00
10
10
01
00
00
10
11
00
11
10
00
01
10
00
01
10
00
10
10
00
10
11
01
00
00
10
10
10
00
10
00
10
10
01
01
10
00
00
01
00
10
11
11
00
10
01
10
01
10
00
11
11
00
01
11
11
11
11
10
10
01
01
10
00
01
00
10
01
00
10
10
10
10
11
00
11
01
11
01
01
00
11
01
00
00
00
11
10
01
10
11
10
00
10
10
10
00
11
10
00
00
01
00
10
01
00
11
10
10
00
00
11
00
00
10
00
11
10
00
00
11
10
11
00
01
01
01
10
11
10
00
10
11
10
01
10
10
10
11
01
01
01
00
11
01
01
01
10
10
00
01
10
00
00
10
01
00
00
10
10
10
10
10
00
10
11
10
00
00
01
00
00
00
11
00
11
10
10
00
10
00
00
10
11
10
00
10
00
00
10
10
01
00
11
00
01
01
10
10
11
10
11
01
00
01
10
10
00
00
11
00
10
00
01
11
00
11
01
00
10
01
10
01
00
11
10
10
11
00
11
01
00
00
00
01
10
11
11
00
00
10
10
11
10
00
00
10
01
00
01
00
00
11
00
10
10
11
11
01
00
10
00
00
01
11
10
00
10
10
10
10
00
00
10
10
10
00
00
01
11
10
10
00
11
10
00
00
10
11
00
00
01
10
10
01
10
11
01
00
11
10
00
10
00
01
10
01
01
00
00
11
00
11
00
00
01
10
11
10
10
01
10
10
00
01
11
11
01
00
10
10
00
01
10
11
00
00
00
11
10
01
10
00
01
10
00
01
00
11
01
10
11
01
01
00
00
10
10
01
00
10
01
00
01
10
00
11
10
11
00
00
11
01
11
10
10
00
00
00
01
00
11
10
10
10
11
10
10
10
00
10
10
10
10
10
00
10
00
00
00
00
01
10
11
10
11
11
00
00
01
11
11
10
00
00
10
11
00
00
10
10
10
00
00
10
00
00
00
11
00
11
00
11
01
00
10
10
00
00
10
10
10
01
10
10
10
00
01
01
11
00
00
10
11
11
01
00
00
01
00
10
10
01
00
11
10
01
10
10
10
11
10
00
11
10
01
10
00
00
10
11
01
10
00
10
10
00
10
10
01
10
00
11
10
01
10
10
01
10
10
00
11
10
01
00
01
10
11
01
01
10
10
10
10
00
00
10
11
01
00
10
00
10
01
10
00
10
00
01
00
01
00
10
10
10
10
00
11
00
01
10
00
00
10
10
10
10
00
10
00
11
00
10
11
00
01
10
10
00
01
01
10
00
00
10
01
00
10
10
10
00
01
00
10
01
00
01
11
10
10
10
00
00
11
11
00
00
10
00
01
01
10
01
10
01
01
11
10
10
00
01
10
10
10
00
01
01
01
10
10
00
10
11
01
00
01
10
11
11
01
11
11
00
01
10
11
11
00
00
11
00
00
00
10
11
00
10
00
10
00
10
10
00
00
10
00
10
11
10
01
00
00
11
00
00
11
00
10
11
10
00
10
10
10
00
00
01
10
00
10
00
10
01
10
11
00
00
00
10
01
11
11
00
10
11
01
10
10
00
00
11
00
11
00
10
10
01
00
01
01
00
10
00
00
10
10
00
00
10
10
10
01
00
11
01
11
00
00
10
10
10
00
00
11
11
11
01
00
00
10
01
10
00
10
10
00
01
00
01
00
00
00
01
10
10
10
00
10
01
00
11
10
01
11
10
01
00
00
10
00
11
00
11
01
11
10
10
00
00
00
10
01
10
10
00
00
00
10
10
01
00
01
00
10
01
11
00
01
11
10
00
10
10
10
11
00
00
00
10
00
00
10
10
00
11
10
00
10
00
10
00
00
10
00
10
01
10
11
00
00
01
10
01
01
10
10
00
01
10
01
00
11
01
00
00
01
10
11
00
01
00
00
10
10
00
00
00
10
10
11
11
00
00
11
01
10
11
00
10
10
10
01
00
10
00
10
00
00
10
10
10
00
11
00
11
00
00
10
01
10
00
11
10
10
11
00
11
00
11
00
01
10
01
01
10
10
10
00
00
10
11
00
00
00
11
00
10
11
01
00
11
10
00
11
11
01
00
11
10
01
10
11
00
00
11
01
10
11
00
01
10
00
00
10
10
01
00
01
00
00
00
11
00
10
10
00
00
00
00
11
10
00
10
10
00
10
00
10
10
00
10
00
10
10
11
11
00
01
10
00
10
00
01
00
01
11
10
10
10
01
01
10
11
00
01
10
10
10
01
01
11
00
01
00
10
10
00
11
01
10
11
01
11
00
01
10
01
10
00
00
11
10
10
00
01
00
11
00
10
11
00
00
00
10
10
01
11
11
00
00
11
10
00
00
10
00
10
10
11
10
11
11
00
01
00
10
10
01
00
00
10
11
00
01
00
10
10
10
01
00
00
11
00
00
11
00
10
10
10
11
10
10
01
10
01
01
10
10
01
11
10
10
00
00
00
01
10
00
11
10
11
00
01
10
10
00
00
10
10
00
01
10
01
10
00
00
10
00
10
10
00
00
11
00
11
10
11
10
11
00
00
10
10
01
10
10
00
00
01
00
00
10
10
11
00
00
10
11
10
11
01
01
01
01
01
10
00
00
10
10
10
11
00
00
00
11
00
00
00
01
00
00
01
01
10
00
00
10
10
00
10
10
10
00
00
01
00
11
11
01
10
00
00
00
11
10
10
01
00
11
01
10
01
10
11
01
10
10
01
11
11
11
10
01
00
10
00
01
11
10
11
00
01
10
10
00
01
10
11
11
00
10
10
00
01
00
10
10
10
00
00
10
10
10
00
01
10
00
00
01
10
11
00
01
10
00
01
10
01
10
10
00
10
00
10
10
01
00
11
10
11
01
11
10
10
10
01
01
11
00
00
10
10
10
10
11
00
10
10
11
00
11
10
00
10
10
10
00
00
11
00
00
00
10
01
01
00
10
10
11
10
10
00
00
00
10
10
01
10
00
10
10
10
10
10
01
10
10
00
10
11
11
10
00
10
11
10
10
00
11
10
11
10
01
00
01
00
11
00
01
11
00
00
10
01
00
10
10
11
11
00
01
10
10
10
11
10
10
00
01
01
11
11
00
00
01
10
11
10
10
01
00
10
11
01
01
00
10
10
10
00
11
10
10
00
00
11
00
01
10
11
01
00
01
11
00
00
10
00
00
10
11
00
01
10
01
10
10
10
11
01
00
00
10
00
01
00
00
00
00
10
00
01
10
01
10
10
11
10
10
11
01
00
10
10
01
10
10
01
11
00
10
10
00
00
10
11
10
10
10
00
10
01
00
01
11
11
11
10
10
00
10
10
11
00
01
10
00
00
10
00
01
00
01
00
11
00
00
01
11
01
11
01
00
10
11
10
11
10
01
00
00
00
00
00
10
00
11
10
10
00
10
00
10
01
10
10
10
11
01
10
11
10
01
11
10
01
11
01
11
10
01
01
10
10
01
00
10
11
00
11
11
10
11
10
11
01
00
10
10
00
01
01
11
00
00
00
10
11
00
00
11
10
00
11
11
00
10
01
00
10
11
10
01
00
00
01
01
01
00
10
10
11
00
01
10
10
11
10
00
10
00
00
10
10
10
10
10
01
00
11
11
10
10
10
01
00
00
10
10
01
10
00
00
01
00
10
00
10
11
00
01
10
00
10
10
00
00
01
10
00
00
00
01
01
10
10
11
10
01
10
00
00
00
10
10
10
10
00
00
11
11
00
01
10
10
00
00
11
10
00
10
01
01
10
11
00
01
00
01
00
00
00
10
10
00
10
10
00
00
00
00
10
10
00
10
10
00
11
11
00
00
00
00
10
11
00
10
11
11
01
00
11
00
10
11
10
10
00
00
10
11
00
00
01
10
10
10
10
00
10
10
10
01
00
10
10
11
10
11
00
00
00
10
10
11
00
00
00
01
11
11
10
00
00
00
01
10
11
01
01
10
00
00
01
10
10
10
10
00
10
01
00
10
10
10
00
00
01
01
01
00
00
00
01
10
00
01
10
10
00
10
11
11
10
00
01
10
00
00
10
10
01
10
00
11
01
01
00
11
10
10
00
01
00
00
10
10
11
10
00
00
01
11
01
00
10
11
01
00
10
11
00
00
00
11
10
10
00
01
00
11
10
00
00
00
10
10
11
00
01
10
00
01
01
00
10
00
10
00
00
01
10
10
10
01
00
10
10
10
10
01
10
01
00
00
00
11
10
10
11
01
11
01
11
01
01
00
00
10
10
11
11
01
00
10
00
01
10
10
01
01
00
01
00
11
10
01
01
10
00
00
11
10
11
01
10
10
10
01
00
00
10
00
01
10
01
11
10
00
00
10
00
00
10
10
11
00
10
10
00
00
10
00
00
00
11
00
10
00
01
10
10
01
10
10
11
01
00
01
10
10
10
00
00
11
11
00
01
11
10
10
10
00
00
00
00
11
11
11
01
01
00
11
01
10
10
00
01
11
10
00
00
01
10
01
11
00
10
00
01
10
10
01
00
01
11
00
00
10
10
01
00
10
11
10
00
01
00
00
01
11
11
10
10
00
10
11
00
10
10
10
01
00
11
00
00
00
11
11
00
00
11
10
00
00
10
10
00
01
10
10
00
00
10
10
11
10
00
10
00
00
00
11
10
11
00
11
00
00
10
10
00
01
10
01
10
00
11
10
00
10
10
01
01
10
10
00
00
00
00
11
00
11
10
11
10
00
00
00
11
10
11
00
00
10
01
11
10
00
10
00
00
00
00
10
10
10
00
00
10
00
10
00
01
10
00
10
10
10
01
10
00
10
10
00
10
10
01
00
11
01
00
01
10
11
10
00
00
10
10
01
10
10
11
00
11
00
00
10
11
00
00
11
11
11
00
00
00
01
01
01
11
10
00
11
11
01
11
10
00
11
10
00
00
10
10
00
01
11
00
01
11
11
11
01
01
01
11
11
00
01
10
11
00
00
11
00
00
10
00
00
00
01
00
01
10
11
10
11
10
01
10
10
00
00
10
11
10
00
00
10
11
00
10
10
00
10
00
11
10
01
00
01
00
00
10
00
00
00
10
11
10
00
10
01
00
00
01
00
10
00
01
10
01
00
01
00
00
01
10
00
01
01
10
00
00
11
01
10
11
10
11
11
00
00
11
01
01
00
00
10
11
00
10
10
00
10
11
10
10
00
01
01
10
10
10
10
00
00
01
10
00
10
10
10
10
00
01
00
01
01
10
10
00
01
11
11
01
11
10
11
10
01
10
10
00
00
01
00
00
10
01
01
01
10
11
00
10
01
10
11
01
10
10
00
10
10
00
00
00
00
01
10
10
00
11
10
11
00
10
00
01
11
00
01
11
00
00
00
01
10
01
00
10
11
10
10
10
10
00
10
11
01
00
00
10
11
11
10
01
11
10
00
10
01
10
00
00
10
01
11
00
00
11
10
10
00
10
11
01
00
00
10
00
10
10
11
10
11
10
01
00
01
10
10
10
00
10
10
10
10
00
10
00
11
00
00
00
10
00
00
00
10
00
00
11
01
11
10
00
01
10
00
10
10
01
10
01
10
00
00
00
11
00
10
11
11
10
10
01
11
10
10
01
00
01
01
11
01
00
01
10
11
00
11
10
11
00
01
11
10
10
10
00
00
10
11
00
11
11
01
11
10
10
00
10
11
00
01
10
00
10
11
00
00
01
10
01
00
11
00
00
10
10
11
00
10
11
00
00
10
00
01
00
10
10
01
10
10
11
00
11
10
10
10
10
01
00
10
11
11
10
10
01
00
11
11
10
10
00
10
00
00
11
00
01
11
10
01
00
00
10
00
00
00
01
10
11
10
10
10
00
00
10
10
10
00
00
00
00
00
01
00
10
11
00
10
11
00
00
11
10
00
10
11
01
01
10
10
10
01
01
10
01
10
10
00
01
00
01
01
10
11
00
00
00
10
11
01
00
10
11
10
10
10
00
11
00
01
00
01
10
00
01
00
10
10
01
11
10
11
10
11
10
00
00
10
00
01
00
00
00
10
11
00
00
10
00
00
11
00
00
11
11
10
11
00
11
10
11
00
00
11
10
01
01
01
11
11
00
00
00
11
00
00
10
10
00
10
10
00
01
00
01
00
00
00
00
00
00
00
10
10
00
10
00
10
00
00
10
01
00
00
00
11
00
00
10
10
00
00
10
10
01
01
10
11
00
01
10
01
00
00
11
00
01
10
00
11
10
11
11
00
00
00
11
10
10
00
00
10
01
00
11
10
00
00
01
10
10
01
00
11
10
01
00
10
01
11
00
00
00
10
11
10
10
01
11
00
00
10
10
00
01
11
00
10
10
10
10
00
01
00
00
11
00
01
11
01
10
01
01
00
00
10
00
11
01
00
01
11
00
00
01
10
10
01
00
11
10
01
10
01
00
11
11
11
01
11
10
00
11
11
01
00
01
10
10
10
10
01
01
11
10
00
10
10
00
10
00
00
00
10
10
11
10
00
01
10
10
00
00
10
01
00
10
10
01
00
10
10
10
11
00
00
01
10
00
11
00
00
10
00
10
10
00
10
00
10
10
11
00
11
10
11
11
00
00
10
10
00
00
10
10
00
00
00
10
00
01
10
01
11
01
10
00
00
10
10
01
11
11
10
01
11
11
10
10
00
00
00
00
10
00
10
01
00
01
11
00
10
10
10
01
10
10
10
00
10
00
11
00
11
10
11
10
01
11
10
11
00
10
10
11
10
10
11
00
11
01
00
10
00
00
11
10
00
00
10
00
10
10
10
00
10
00
11
01
01
00
00
11
01
00
10
10
10
00
00
11
00
11
11
01
10
00
11
10
11
00
00
10
10
10
10
10
00
00
10
10
00
10
00
10
10
10
00
11
00
11
00
10
10
00
10
10
01
00
10
01
10
10
00
00
00
10
00
10
10
10
11
11
01
10
10
10
11
01
11
00
00
01
11
10
11
10
01
00
10
00
00
10
11
10
11
00
00
00
11
10
10
11
01
10
00
00
11
01
01
00
11
10
11
10
01
00
11
10
01
10
10
01
00
11
00
00
10
10
01
01
11
10
10
01
01
10
00
10
00
00
01
00
01
10
11
00
10
11
11
11
10
10
00
01
10
00
10
10
01
00
00
00
10
10
10
10
00
11
10
01
10
01
01
01
11
10
00
10
01
00
10
10
01
10
10
00
10
10
10
00
00
01
10
00
10
11
00
00
00
10
00
00
10
01
11
00
01
01
10
10
11
10
00
10
10
01
00
10
00
10
10
00
01
11
11
00
10
01
00
00
00
10
10
00
01
10
11
00
01
00
10
10
00
00
00
00
11
01
01
10
00
10
10
11
00
00
10
01
10
00
00
10
10
00
01
10
10
11
11
00
00
01
01
01
01
00
10
11
00
10
00
10
10
11
00
11
00
00
00
00
10
01
00
11
01
00
00
11
11
11
10
11
00
01
11
00
10
10
00
00
11
00
11
11
01
10
10
10
01
00
00
00
11
01
10
11
01
01
01
11
10
10
11
01
00
10
10
10
10
10
00
01
00
00
00
11
10
00
00
10
00
00
10
10
10
00
11
00
10
11
10
01
00
00
00
10
01
00
10
11
00
10
00
11
10
10
01
10
11
11
00
01
10
10
11
00
01
00
01
11
10
00
11
00
00
00
00
00
10
10
00
10
01
10
10
11
10
10
11
00
11
00
01
10
10
00
01
10
10
11
00
00
10
00
01
00
10
10
10
10
01
10
10
01
00
00
01
00
00
11
01
01
00
11
10
00
00
10
10
00
00
10
11
01
00
11
00
10
00
11
00
10
10
00
11
00
00
10
10
00
11
10
00
00
10
11
00
10
10
10
00
10
01
00
01
10
00
00
10
00
01
10
10
10
00
00
00
10
01
10
01
10
10
10
00
11
10
11
00
01
01
00
00
10
11
10
11
10
01
01
01
00
10
01
10
00
00
11
01
10
10
00
01
10
10
10
00
10
00
11
10
00
01
10
10
10
00
01
00
11
00
10
11
10
01
11
01
01
00
10
01
00
10
00
10
10
10
01
01
11
11
10
10
01
10
10
11
00
01
10
00
00
01
10
00
00
11
00
01
11
01
10
00
01
11
00
00
00
10
10
10
00
01
10
01
10
11
10
00
10
01
00
00
10
10
11
01
10
00
10
11
00
00
01
01
01
10
11
00
01
10
10
01
10
10
00
00
11
00
01
00
10
11
10
00
11
00
01
00
01
11
11
10
10
00
01
00
10
10
00
00
10
11
10
01
01
01
11
01
00
11
11
00
00
10
10
01
11
10
00
01
10
10
11
01
01
00
10
10
10
01
00
10
11
00
10
10
10
01
11
10
10
00
10
01
10
10
01
00
01
11
01
10
00
00
10
01
00
01
11
00
01
00
10
10
01
00
11
00
01
11
01
01
00
01
01
01
10
10
00
00
10
10
10
00
00
10
11
00
01
10
01
10
11
01
10
01
01
01
10
00
00
00
00
10
11
11
11
00
10
10
00
11
11
00
00
10
00
10
10
01
00
10
10
00
10
00
00
10
00
01
01
00
10
11
00
00
00
10
00
10
11
10
00
00
00
10
01
10
01
00
10
10
00
00
11
01
00
10
11
00
10
01
10
11
10
00
00
00
10
01
00
10
00
00
00
00
10
00
00
11
00
00
10
00
01
00
11
00
00
10
01
10
00
01
11
11
00
01
10
00
00
01
00
11
00
01
10
10
10
10
11
00
10
11
10
10
10
10
00
00
00
01
10
10
00
11
00
01
00
11
01
01
10
10
10
10
10
00
00
10
11
10
00
10
11
01
10
00
00
10
10
10
00
10
10
00
00
00
10
10
01
10
01
10
10
11
10
00
00
10
10
00
00
10
01
00
10
00
00
10
00
00
10
11
11
01
01
10
11
00
10
01
11
11
00
00
00
11
00
10
00
00
01
10
00
00
00
00
01
01
11
11
01
01
11
01
00
10
01
01
10
10
11
10
00
00
10
10
10
10
00
00
01
10
01
01
00
10
10
00
10
11
00
00
00
00
10
10
10
11
00
01
00
01
11
10
01
00
01
11
10
10
10
00
01
10
10
10
00
00
01
01
00
11
00
01
00
11
10
00
10
10
00
00
00
01
00
10
00
10
00
10
00
01
10
00
00
11
10
11
01
10
11
01
10
00
00
10
00
10
00
10
00
00
10
10
00
00
00
00
00
10
00
10
00
01
00
01
11
00
11
10
00
00
00
01
00
10
10
10
10
00
10
10
00
00
00
00
00
00
10
11
00
10
10
00
01
11
00
01
00
01
00
01
01
10
00
01
00
11
10
11
01
00
11
11
00
00
10
11
00
01
00
00
00
10
00
10
01
01
10
10
00
00
00
01
00
11
11
10
11
00
00
10
00
00
01
01
10
10
01
00
10
00
00
11
00
11
10
10
10
00
10
00
10
10
00
00
11
10
00
00
10
11
11
00
01
01
10
10
01
00
11
00
00
10
10
00
01
10
11
11
11
10
01
10
10
00
01
00
10
00
11
00
00
10
01
10
01
10
11
10
01
10
00
10
10
11
10
11
10
10
01
01
11
10
00
00
00
10
10
01
00
01
00
11
00
11
10
01
00
11
10
00
00
10
10
00
00
10
01
10
10
01
00
11
11
10
00
10
00
01
00
10
00
10
10
11
00
10
10
00
10
00
00
11
01
01
00
01
10
01
10
10
00
11
00
01
00
01
00
10
10
10
00
01
00
11
10
10
10
01
11
11
11
01
01
01
00
10
10
00
10
10
01
00
00
00
11
10
00
10
11
10
11
11
01
11
00
10
10
10
00
01
10
11
00
11
10
11
00
11
00
01
10
11
10
00
00
11
01
01
01
11
00
00
00
10
11
11
10
00
11
11
11
00
00
10
00
10
10
01
00
10
10
10
01
10
01
00
11
11
10
11
00
00
10
11
01
10
01
00
00
00
10
00
01
10
01
00
11
01
11
10
11
11
00
00
00
01
10
11
10
00
01
10
11
00
01
10
10
00
11
00
10
10
01
01
00
00
10
10
01
10
00
10
01
01
10
00
01
01
10
11
00
10
11
10
10
00
10
10
10
10
00
01
10
01
00
11
00
01
10
10
10
01
01
10
10
00
01
11
10
01
10
11
00
01
10
00
10
10
11
00
00
10
10
00
00
00
00
11
00
01
10
11
00
00
00
10
10
01
00
10
10
00
10
10
01
00
00
11
11
00
10
01
00
01
01
11
01
00
11
11
00
00
11
10
10
11
00
00
10
00
00
10
00
00
00
01
00
11
01
10
00
00
01
00
10
10
11
00
00
11
00
00
10
00
10
01
00
01
01
00
10
00
00
00
10
10
00
11
00
01
10
01
00
11
11
10
10
00
00
11
00
01
10
00
00
10
11
10
11
01
00
00
10
01
00
11
11
11
00
00
10
01
00
11
00
10
10
01
10
10
11
00
00
10
00
10
01
00
10
10
00
00
10
00
00
10
10
00
10
00
01
10
11
01
00
10
11
00
01
00
10
10
01
00
11
00
01
10
10
01
10
00
00
01
10
00
10
11
10
00
10
00
01
10
10
01
01
00
11
10
10
00
00
11
00
00
10
00
10
11
01
00
11
10
10
10
00
00
00
11
11
10
00
10
01
10
00
00
10
00
10
10
00
11
10
10
00
00
10
10
00
00
11
10
10
00
11
00
11
11
00
11
10
00
10
01
01
00
11
11
00
00
01
10
00
10
11
10
00
10
10
00
00
01
00
01
10
10
00
00
00
11
10
00
10
10
10
01
00
10
00
11
10
01
00
10
10
00
00
10
11
01
11
00
00
00
00
10
10
11
00
00
10
10
11
10
10
00
01
11
11
10
01
11
00
11
10
00
00
11
10
10
10
00
00
00
00
10
00
01
10
01
10
01
01
10
00
11
10
00
00
10
10
01
01
11
00
01
10
10
00
11
01
10
10
00
10
01
01
01
10
01
11
01
00
00
10
10
10
10
01
00
10
00
10
00
11
00
00
00
01
01
00
00
10
00
10
00
00
11
11
01
00
00
10
11
10
10
11
00
10
00
10
10
10
00
10
10
11
01
00
01
11
00
11
11
10
01
10
11
10
00
00
11
10
00
10
10
00
00
10
00
10
01
00
10
01
01
00
11
11
11
10
10
11
11
10
00
01
10
11
11
10
10
00
00
11
11
01
00
11
10
00
00
00
10
11
10
11
00
00
00
00
00
10
11
00
00
01
10
11
11
11
01
11
01
10
11
00
01
00
10
10
00
10
10
10
01
00
10
11
01
00
01
00
11
01
10
11
00
00
01
00
10
01
01
10
00
00
10
10
10
00
00
11
00
10
00
00
00
10
01
10
10
11
01
11
10
01
10
00
00
01
11
11
00
01
00
00
01
10
10
01
00
10
10
00
00
10
00
00
10
01
00
01
00
10
00
01
10
10
00
00
10
10
00
11
11
10
11
10
01
11
00
00
00
00
00
11
10
00
11
00
11
01
00
00
00
10
10
00
01
10
10
11
10
11
11
10
00
00
10
00
11
10
01
00
01
10
11
10
00
10
10
10
10
00
01
00
10
10
10
11
11
00
00
00
01
10
11
00
10
10
00
10
00
01
10
00
10
00
01
00
00
10
00
10
00
11
10
10
10
00
01
00
10
00
11
00
01
11
00
10
00
10
00
11
11
11
10
10
10
00
00
00
01
10
10
10
10
10
00
00
10
00
00
00
00
11
00
00
01
10
10
10
01
00
00
11
10
00
00
00
01
11
00
11
10
01
01
10
01
01
10
10
11
00
00
10
00
11
10
10
00
01
10
00
10
10
00
01
10
10
11
10
10
11
00
00
11
00
01
10
00
10
10
01
00
00
10
11
01
00
01
10
10
11
10
11
11
00
00
10
01
00
11
10
10
10
00
00
00
00
11
10
00
10
11
01
00
11
10
01
00
10
00
11
10
00
00
00
00
10
11
01
10
10
00
10
10
00
11
00
10
10
00
10
01
10
00
00
01
00
10
10
11
11
11
01
01
01
00
10
00
10
10
01
00
10
11
00
00
00
10
11
10
00
01
00
11
11
10
00
00
01
10
00
10
11
01
10
11
00
01
00
00
11
10
00
00
00
10
01
10
11
10
00
11
11
10
01
00
11
10
00
00
11
10
10
00
00
00
01
01
11
10
00
10
00
00
01
10
10
01
00
01
00
00
00
01
10
11
11
00
00
00
11
11
01
00
11
10
00
10
10
10
01
10
11
10
00
10
11
01
11
00
01
10
11
00
11
10
00
00
00
00
10
11
00
11
10
11
10
01
10
11
11
00
11
10
01
00
10
10
01
00
10
10
00
10
00
00
00
11
11
01
00
00
10
00
00
10
10
01
00
00
10
01
11
00
11
10
10
00
10
00
00
11
10
10
01
10
11
00
00
10
00
01
10
11
01
01
10
11
11
10
00
10
11
00
11
11
00
00
10
11
00
00
00
01
11
00
00
10
00
01
00
00
00
11
00
10
10
11
10
10
10
10
00
00
10
10
10
00
01
11
01
11
10
10
11
10
10
00
01
00
10
11
01
01
11
00
00
10
01
00
10
10
00
01
00
00
10
10
10
11
10
10
10
00
00
00
11
00
11
01
10
01
10
11
01
11
10
10
11
00
10
01
00
00
11
11
00
10
10
00
01
01
11
10
01
00
01
11
00
10
11
10
00
10
10
01
00
00
00
10
10
11
10
00
10
01
00
00
11
00
00
11
10
01
00
10
10
01
01
10
10
01
00
10
01
00
10
00
10
10
11
10
11
11
10
10
00
10
10
01
00
10
10
10
10
10
10
00
10
10
01
11
00
00
10
00
10
10
01
00
10
11
11
11
00
10
11
11
10
11
01
00
00
00
10
10
01
10
10
11
10
11
01
10
11
00
00
10
10
00
01
10
11
01
00
00
10
00
00
00
11
00
00
11
00
01
11
10
10
10
11
10
00
01
01
10
10
11
10
10
00
00
00
10
10
01
10
00
11
10
10
11
10
11
00
11
11
01
00
00
00
11
10
00
10
01
00
00
11
01
01
00
00
11
10
11
01
11
01
00
00
10
11
00
01
10
11
00
01
11
00
10
10
01
01
01
11
10
11
00
01
00
10
01
01
10
11
10
00
01
11
00
00
10
11
11
01
00
10
00
00
00
11
10
00
00
11
11
11
10
10
10
10
01
01
00
11
10
00
11
00
00
00
00
11
10
10
11
00
01
00
10
11
10
11
00
11
10
00
00
00
00
10
00
00
11
11
01
00
00
10
00
10
10
00
00
00
00
00
01
11
11
11
10
01
00
00
10
11
00
01
10
10
10
11
00
00
01
00
11
10
10
01
11
10
00
00
11
11
00
00
11
10
00
01
10
01
10
00
00
00
11
01
10
01
00
00
00
11
10
10
10
01
10
10
00
10
00
00
11
10
10
00
10
00
00
01
01
01
10
01
10
10
00
00
10
11
00
01
00
11
00
10
00
10
10
01
00
10
00
01
10
01
11
01
11
10
00
11
01
10
10
01
00
11
00
01
10
11
10
10
10
00
00
10
10
00
10
10
00
11
00
11
11
01
11
10
10
00
10
10
11
01
00
11
11
00
01
10
00
10
11
01
00
00
10
10
10
00
00
00
00
11
10
00
00
00
01
11
00
10
00
00
00
10
10
10
00
00
10
10
00
10
01
10
00
10
01
00
11
11
00
00
10
00
10
00
11
11
00
00
00
10
00
10
10
00
10
11
10
01
10
10
10
11
00
01
10
00
10
11
00
11
10
01
01
10
11
01
00
11
10
10
00
00
10
00
11
11
00
00
10
01
10
00
10
10
11
00
00
01
00
00
00
01
00
00
11
00
00
10
11
10
11
00
01
00
00
11
11
00
00
11
11
11
00
00
10
10
10
11
00
00
10
00
10
00
11
10
00
00
00
11
10
01
01
10
10
01
10
11
00
00
11
00
10
10
10
00
11
11
00
10
10
10
11
00
00
00
10
00
10
11
10
10
10
00
10
00
00
11
10
00
00
10
11
00
10
00
01
11
11
00
10
01
10
10
00
00
11
00
00
11
00
11
10
10
01
00
10
00
00
11
11
10
00
01
00
00
00
10
11
10
01
11
10
00
11
00
10
10
00
00
10
11
00
01
10
10
10
11
10
00
10
11
00
00
00
10
10
01
11
00
10
11
10
01
00
00
10
11
00
00
00
11
00
00
11
10
10
00
01
00
10
10
01
01
00
11
10
00
10
10
00
01
00
10
11
10
00
01
10
01
00
01
00
00
11
00
10
10
00
10
10
10
00
00
11
00
11
00
00
10
01
10
10
11
10
00
11
00
00
10
10
10
00
00
00
11
01
01
11
10
10
01
00
01
10
10
10
01
00
11
10
00
10
00
10
00
10
10
10
01
00
11
10
11
00
11
01
01
10
10
01
00
11
00
01
11
10
11
00
00
10
11
11
00
10
10
00
10
00
01
10
10
00
10
11
00
00
01
00
10
00
10
11
00
10
00
10
10
01
10
11
01
00
11
01
00
10
10
00
10
01
11
11
10
00
00
10
00
10
10
11
00
00
10
11
00
01
00
10
11
10
00
01
10
10
01
10
01
10
00
11
00
01
01
00
10
10
11
11
00
00
01
00
01
00
10
01
00
10
01
00
11
10
01
10
10
10
10
01
00
00
10
00
01
10
11
00
01
10
00
10
01
10
11
00
01
10
10
00
01
11
00
10
10
01
00
01
01
10
10
01
11
10
10
00
00
11
10
00
00
01
10
11
00
00
00
11
00
00
10
10
00
00
01
10
10
11
10
10
00
10
11
10
11
11
10
10
00
10
00
01
10
01
10
10
00
00
10
11
11
00
11
00
00
00
00
10
01
00
11
01
00
10
01
10
00
10
10
00
00
10
11
00
11
11
10
01
11
10
10
10
00
00
00
10
10
00
00
00
10
00
11
00
10
10
11
10
11
10
10
00
00
11
10
11
00
10
10
00
10
00
00
10
00
00
01
11
10
00
01
00
11
00
00
11
10
11
11
00
00
01
10
10
01
00
11
11
00
11
00
10
10
00
00
00
00
10
00
10
01
00
11
10
01
10
01
00
10
00
00
11
10
00
00
10
00
00
01
01
10
01
11
10
10
10
00
01
00
10
10
00
11
10
01
00
11
00
11
00
00
10
10
11
01
10
10
00
10
10
00
00
11
00
01
10
10
01
00
01
10
11
10
11
01
10
10
01
10
11
01
00
00
01
10
00
01
11
11
00
10
00
00
10
11
00
00
10
00
00
01
00
11
01
01
11
00
11
11
00
00
00
11
10
10
00
00
00
10
00
00
10
10
00
00
10
00
00
01
10
10
00
00
01
11
11
11
11
01
00
00
00
10
00
10
10
00
01
01
11
10
01
00
01
11
10
00
00
11
11
01
10
11
00
00
00
00
00
11
10
01
00
10
11
10
10
00
10
11
00
10
00
00
10
00
10
11
01
00
01
11
01
00
00
01
00
10
11
01
00
10
10
10
11
10
00
01
11
00
00
11
11
11
01
00
11
10
00
01
01
10
10
00
10
10
01
01
11
01
00
00
00
00
10
10
00
00
10
00
11
00
10
10
10
00
01
01
10
11
00
00
00
10
00
00
11
10
01
00
10
10
10
10
10
11
00
10
01
11
00
11
00
11
11
11
11
00
11
01
00
00
10
00
00
00
10
10
00
01
01
10
11
10
00
10
01
00
00
10
01
00
10
10
10
00
00
00
11
10
00
00
01
00
00
00
10
00
01
00
10
10
01
00
11
11
00
01
00
01
00
11
10
00
10
10
11
00
11
10
11
10
10
11
00
10
10
10
01
00
00
01
00
10
00
00
11
00
00
10
10
00
10
01
10
10
00
00
10
00
00
00
10
10
10
00
01
00
11
00
01
11
00
11
11
00
10
00
01
10
10
01
00
11
01
10
11
10
11
10
01
01
10
10
00
10
10
00
10
00
00
10
10
00
00
10
01
11
11
00
11
00
11
10
00
00
10
00
00
10
10
00
00
10
01
01
11
10
10
00
01
01
01
10
10
11
11
01
10
00
00
01
00
01
01
11
10
01
10
11
10
00
00
10
10
00
11
10
11
00
00
00
10
01
10
01
00
10
10
00
11
00
10
01
00
10
00
10
01
00
10
10
00
10
00
11
11
11
00
00
01
00
10
00
01
10
10
00
11
01
00
01
10
10
00
01
11
10
00
00
10
10
10
00
00
10
11
11
00
10
00
00
10
10
11
11
00
00
01
00
10
10
11
10
10
11
00
11
00
00
00
00
00
00
11
10
11
00
00
00
10
00
00
10
10
10
10
10
01
10
01
10
01
11
00
01
00
10
01
00
10
11
11
01
10
01
01
01
11
10
10
00
00
10
10
11
00
01
10
11
00
00
00
00
10
10
10
00
01
00
10
10
11
10
10
01
00
00
10
00
00
01
00
10
00
11
01
10
11
00
01
10
11
00
11
11
01
01
10
00
00
00
00
10
10
01
10
11
10
11
01
11
00
10
10
00
01
00
11
11
00
00
00
10
11
10
11
11
00
11
10
00
00
00
00
00
00
11
10
10
00
10
11
10
01
01
11
11
10
11
10
10
00
00
01
01
11
01
10
11
10
00
00
10
10
00
00
10
00
10
01
00
01
01
01
00
00
11
11
00
01
11
10
00
10
00
00
11
10
10
10
11
10
00
00
01
01
00
11
11
00
10
01
00
10
00
01
10
00
00
11
11
00
01
11
10
01
00
11
00
10
10
00
00
11
11
01
10
11
00
10
10
01
01
10
10
00
11
10
11
01
10
11
00
10
10
00
00
10
01
10
01
01
10
10
00
01
10
01
00
00
10
10
10
10
10
01
00
10
10
00
10
10
10
10
00
00
10
10
00
00
10
01
00
01
10
00
00
10
10
11
00
00
10
11
11
01
00
10
11
00
10
10
11
01
00
11
01
01
01
11
10
01
10
01
00
10
01
11
00
11
11
00
01
00
00
10
00
01
10
10
01
10
00
00
00
11
11
00
11
11
10
11
10
01
01
01
10
10
10
01
10
00
00
10
10
10
00
11
00
00
01
10
10
10
00
00
00
01
10
10
00
00
01
10
10
10
00
10
00
00
10
10
01
00
01
00
11
01
10
00
00
10
10
11
00
00
10
00
00
00
01
10
10
11
00
01
11
10
01
00
11
10
10
10
11
01
10
00
00
10
00
01
10
00
00
10
10
11
10
00
01
11
11
00
11
01
00
11
00
01
11
00
00
10
00
00
00
11
10
10
11
00
10
10
10
11
00
00
00
01
01
11
00
00
10
00
10
10
10
00
10
01
10
01
10
10
10
00
11
00
11
00
00
10
11
01
10
11
00
00
10
11
01
00
11
10
00
10
00
11
11
00
10
10
10
10
00
00
10
00
11
00
01
00
10
01
00
01
10
11
00
10
10
00
00
00
01
10
00
10
01
00
10
10
00
01
11
00
00
01
10
00
01
11
10
00
01
10
10
01
01
11
01
00
10
00
01
10
00
00
10
11
11
00
00
00
00
01
01
01
11
11
00
00
10
11
10
11
01
00
00
01
10
10
00
00
00
11
00
11
00
00
10
00
11
10
00
00
01
00
11
10
10
00
10
10
01
10
00
10
10
00
00
11
01
10
10
10
10
00
00
01
11
10
00
01
00
00
10
11
11
10
10
00
00
10
10
00
00
01
10
11
00
10
00
10
11
10
10
00
01
10
00
11
11
11
10
00
00
00
10
00
11
10
01
01
01
00
00
10
10
10
10
00
00
10
11
11
01
10
11
10
10
10
01
01
10
10
11
10
00
11
10
11
00
00
10
01
10
10
00
01
11
10
10
00
11
00
10
00
11
10
11
00
11
11
01
10
00
10
10
01
01
10
10
00
11
10
01
00
00
10
00
10
01
11
00
11
11
10
11
00
10
11
01
00
10
10
00
11
10
10
10
01
01
00
10
11
00
11
10
01
10
11
01
10
00
00
10
11
00
00
00
01
10
01
01
01
10
10
00
10
10
10
00
01
00
11
00
10
10
10
00
10
11
00
01
10
00
00
10
10
00
10
00
10
10
10
00
00
00
11
00
00
00
01
10
00
00
10
10
00
00
10
10
01
00
00
00
00
10
10
11
00
11
00
01
10
00
11
00
00
10
10
10
11
00
11
01
10
00
10
01
01
10
00
01
10
00
10
10
11
11
01
00
11
00
10
11
00
10
10
01
00
11
11
00
01
00
10
10
01
11
00
10
10
01
00
10
11
10
11
01
10
00
00
01
01
11
10
11
10
01
00
00
00
11
10
11
10
00
11
10
00
10
00
01
10
00
11
10
01
10
00
01
10
10
00
10
10
00
01
00
00
10
00
01
11
10
10
10
01
10
10
10
01
00
01
11
10
00
10
10
01
10
10
00
00
10
00
10
00
10
10
00
00
01
00
11
00
10
01
00
10
11
10
01
00
01
10
00
01
01
11
10
10
01
00
00
01
10
00
11
10
00
10
10
10
10
11
00
00
11
11
10
00
00
10
00
00
10
10
10
00
01
00
11
11
10
10
11
01
01
10
10
00
00
10
00
10
10
01
00
00
10
10
10
00
00
10
00
00
10
10
11
11
10
01
11
00
00
10
00
11
01
00
10
10
00
00
11
00
10
10
10
10
10
00
00
00
01
10
11
01
10
00
10
10
10
10
00
00
10
00
11
00
10
01
10
10
00
00
00
10
00
10
10
01
00
00
00
11
11
11
00
11
00
00
01
10
10
00
01
10
01
10
00
10
00
00
10
00
00
00
10
11
00
10
11
00
11
01
10
10
01
11
10
10
01
10
01
00
10
10
10
10
10
01
01
10
10
10
00
00
00
01
00
10
10
11
00
01
10
10
00
10
01
11
00
10
11
10
10
10
00
01
10
10
01
00
11
10
00
01
00
00
11
01
10
10
00
01
10
10
00
00
10
01
00
11
01
11
11
00
00
00
11
11
10
00
10
10
10
01
00
10
01
01
00
10
00
00
00
10
10
10
00
01
11
11
11
00
00
00
10
10
01
11
01
10
00
11
10
00
00
00
10
10
10
11
00
00
01
10
10
00
00
10
11
00
11
00
01
00
10
11
11
10
00
10
10
00
00
10
01
10
10
10
00
11
00
01
11
01
01
11
11
01
00
00
10
10
01
01
10
00
01
10
00
10
10
00
00
00
10
10
00
00
00
10
00
10
00
11
10
00
01
11
10
01
00
10
10
10
00
11
10
00
10
11
01
10
01
00
00
00
10
10
10
01
00
10
10
11
01
00
10
10
11
10
00
00
10
00
10
10
00
11
01
00
01
00
10
01
00
11
11
10
00
01
10
00
01
10
10
10
11
01
00
10
01
10
10
10
11
00
00
10
10
11
00
00
01
00
11
10
10
10
01
00
10
01
11
00
10
10
00
00
10
10
10
11
10
01
00
00
00
10
00
01
11
11
00
01
01
11
10
00
10
00
01
10
11
00
01
10
00
10
00
10
00
10
11
11
01
00
10
00
01
10
11
00
00
00
10
10
10
01
00
10
10
11
10
10
10
00
00
11
00
10
00
11
10
11
11
00
01
10
10
01
00
10
00
00
00
00
00
10
00
00
11
10
10
00
10
10
00
00
11
10
00
10
10
10
00
00
00
00
00
00
00
10
00
10
11
10
00
11
00
11
10
10
10
01
11
10
00
00
01
10
10
00
00
11
00
10
00
10
11
00
11
11
00
10
11
00
10
11
01
10
10
10
00
11
10
01
00
01
10
01
00
10
00
00
00
11
01
00
10
10
11
00
00
01
10
11
10
00
01
10
10
10
11
01
00
10
00
10
01
10
10
01
00
10
10
00
00
10
10
10
11
10
11
10
10
10
00
11
11
01
00
00
10
10
00
10
10
10
10
00
00
00
11
10
00
11
10
10
10
00
00
01
00
10
10
10
11
00
10
00
11
10
10
11
00
11
00
11
10
00
00
01
00
10
10
00
00
10
10
00
11
10
11
01
01
11
00
10
10
11
01
01
01
11
11
01
00
10
01
00
11
10
11
00
10
00
01
01
11
00
00
00
10
11
10
00
00
11
10
00
01
10
10
10
00
00
11
10
00
11
00
00
00
00
00
10
10
00
00
00
00
01
00
00
11
00
11
00
00
10
00
10
10
00
00
01
10
10
10
10
00
00
00
11
10
00
11
11
11
01
11
10
11
00
00
10
10
00
10
01
01
00
00
10
00
10
10
10
11
11
10
00
01
01
10
01
10
01
01
11
10
00
00
11
10
01
01
10
10
10
10
01
00
11
01
11
00
00
11
10
11
01
01
11
10
01
10
11
11
10
01
01
10
11
00
01
00
10
11
01
00
00
10
10
10
11
00
11
00
00
01
10
11
00
10
10
01
00
00
11
10
10
01
01
01
00
11
10
10
11
00
00
11
11
01
10
11
10
10
10
01
01
11
00
00
00
00
00
01
11
10
10
10
10
00
10
01
00
00
01
10
00
10
10
11
01
10
10
11
10
10
00
10
00
00
11
01
00
00
10
00
11
10
10
11
00
00
10
01
00
11
10
10
11
00
10
10
00
00
00
10
11
11
00
10
10
10
00
01
10
10
00
10
01
00
00
01
10
10
10
00
10
10
00
10
00
00
10
01
10
01
10
00
01
10
10
10
00
00
10
00
01
11
01
11
10
10
00
10
00
00
10
00
00
10
00
00
11
11
10
10
01
10
00
00
01
10
00
00
01
10
01
10
00
10
10
10
01
11
00
00
11
10
10
10
00
00
11
10
00
00
10
00
00
10
01
11
01
00
00
11
01
00
10
11
00
01
11
00
11
10
10
01
10
10
00
00
10
00
10
11
10
00
00
00
00
00
00
00
01
01
11
10
00
11
00
10
10
00
11
10
11
00
00
11
00
11
00
01
10
00
11
01
00
10
10
11
11
00
01
00
10
00
10
11
10
00
00
11
10
10
00
11
00
10
11
01
00
10
10
00
10
00
10
10
00
11
11
00
00
01
10
10
10
01
01
00
11
11
11
00
10
10
10
01
00
10
10
00
01
10
00
01
10
00
01
00
01
10
11
00
00
11
10
10
00
00
10
11
00
01
11
10
11
11
11
00
00
10
10
00
00
00
10
10
00
01
10
11
10
01
10
10
00
00
10
11
11
10
01
00
01
00
00
10
00
10
10
10
00
10
01
01
00
00
01
11
00
10
10
10
00
11
00
01
01
00
11
10
00
00
11
11
00
10
10
00
10
11
11
01
11
00
00
11
00
00
01
10
01
11
10
00
10
00
00
11
01
01
10
00
00
10
01
00
00
10
00
10
10
10
00
01
11
10
10
01
00
10
00
00
10
00
00
11
11
00
10
10
00
01
11
10
00
00
00
10
00
01
11
00
11
10
10
10
01
10
11
11
00
10
10
10
10
10
00
00
10
00
00
01
10
00
10
10
00
00
11
11
10
00
10
00
00
00
00
11
10
01
11
01
00
11
01
00
11
10
10
10
10
10
00
10
10
10
01
11
11
00
11
10
10
10
00
01
10
11
01
10
11
01
01
00
11
11
00
01
10
10
00
10
11
10
00
00
00
10
10
01
01
10
10
00
11
10
00
00
10
00
10
00
00
01
00
10
00
11
10
00
10
01
10
10
10
11
01
11
10
00
00
00
00
11
10
00
10
10
00
10
10
10
00
00
10
11
00
10
11
10
00
10
00
01
01
11
11
10
00
00
00
00
01
10
10
11
00
00
11
10
00
10
11
00
00
10
10
10
00
00
00
11
00
11
00
00
10
10
00
10
00
00
10
10
01
01
00
11
10
11
10
10
01
11
11
00
00
00
11
00
11
10
00
00
10
10
11
11
01
10
10
01
10
10
11
00
00
01
10
10
00
10
11
11
11
00
10
11
11
00
01
10
01
00
10
00
11
10
00
00
11
10
10
00
10
10
01
01
00
01
11
11
01
10
10
10
10
01
01
10
10
01
11
00
00
11
11
00
00
10
01
01
00
00
10
00
10
11
00
01
00
10
10
00
10
10
00
01
10
00
00
01
10
10
00
00
11
00
01
10
10
01
10
00
00
10
10
10
01
00
11
00
11
10
01
10
11
01
00
01
11
10
11
10
00
01
11
11
00
01
10
10
10
10
00
00
10
10
00
11
00
00
10
10
10
00
10
11
00
01
00
00
10
10
01
10
01
00
10
10
00
01
10
10
00
11
00
10
10
10
10
01
00
10
01
00
10
01
11
11
11
00
10
00
00
10
00
00
10
10
11
00
00
11
00
11
00
00
10
10
10
10
10
00
10
01
01
01
10
10
11
10
10
01
00
11
00
00
10
00
00
00
11
10
10
01
00
00
10
10
10
01
11
10
00
10
01
00
00
00
11
00
00
00
00
10
01
01
10
00
10
00
00
11
10
10
00
10
10
00
00
10
11
01
00
10
01
00
00
10
10
01
10
01
10
10
00
01
10
01
10
11
10
01
00
10
00
01
00
11
00
01
10
10
10
00
11
10
10
00
00
10
00
10
10
10
01
11
11
11
00
01
00
00
10
11
00
10
11
00
10
00
10
00
00
10
11
11
11
01
11
00
01
00
00
10
00
00
10
00
10
10
01
00
10
01
10
00
10
10
00
10
10
01
10
10
01
11
11
01
11
10
00
10
00
01
11
11
11
01
00
01
10
10
11
01
10
11
11
00
00
00
10
10
00
11
00
11
01
10
10
00
10
00
10
11
10
01
11
10
10
00
00
00
10
10
10
10
11
10
11
10
10
00
11
11
11
01
00
00
00
10
10
11
01
00
10
10
10
10
11
10
11
11
00
01
01
00
00
00
11
10
00
10
01
11
10
01
10
01
01
10
10
01
10
10
00
10
10
10
00
11
10
10
10
10
00
01
00
00
10
10
10
10
00
11
10
00
00
11
00
11
01
00
00
01
10
10
01
10
11
01
10
01
00
10
11
00
10
10
10
00
00
00
10
00
10
10
01
00
00
01
00
00
10
10
00
10
00
01
10
01
01
11
11
00
00
10
00
10
00
10
10
00
10
11
11
00
00
00
10
01
11
00
00
01
00
01
00
11
10
00
00
11
10
11
00
00
01
11
01
10
10
00
10
10
10
00
00
11
10
00
00
00
10
10
10
00
11
01
00
11
01
10
11
10
00
00
00
10
10
00
10
10
00
01
10
11
00
01
00
00
01
10
01
00
00
11
00
10
10
01
01
00
01
00
10
11
01
01
10
11
10
01
11
10
01
10
11
00
00
00
00
11
11
10
11
01
10
10
00
00
10
00
01
11
10
01
01
00
11
10
10
11
01
00
01
00
11
01
11
10
01
10
10
00
00
00
11
00
00
00
10
10
00
00
11
01
10
10
11
00
10
01
00
10
01
00
00
11
10
10
00
00
10
11
10
00
11
10
10
11
10
01
10
10
10
00
11
10
01
01
00
11
01
11
10
11
11
00
10
10
00
00
10
10
11
00
01
11
00
10
00
00
11
10
00
10
10
00
10
00
10
01
00
11
00
00
10
10
10
10
10
01
10
10
10
00
00
10
10
00
01
10
01
00
10
00
00
11
10
11
01
00
00
00
11
11
10
01
11
00
00
00
00
10
01
00
10
11
00
00
11
11
00
10
10
10
10
10
01
00
00
10
10
10
10
00
10
10
10
10
00
01
00
10
01
11
00
10
00
00
00
00
10
10
10
00
01
10
10
00
01
01
10
10
11
10
00
10
01
10
00
00
11
00
10
00
00
01
00
10
11
00
11
10
10
10
00
00
01
00
00
00
00
10
00
11
10
10
10
10
11
01
00
00
00
01
10
10
00
10
11
00
00
00
11
10
01
10
00
10
10
11
10
01
00
10
00
01
10
00
00
10
11
00
00
11
00
01
10
01
01
01
01
00
00
10
00
00
10
11
10
00
11
10
00
00
10
10
10
01
01
00
01
11
00
00
00
01
10
01
00
11
11
11
11
00
10
10
01
00
01
10
10
11
00
10
01
10
11
00
11
00
00
10
01
01
11
00
10
10
01
01
01
10
10
10
11
00
10
00
01
11
10
00
00
01
00
10
00
10
01
10
00
01
11
00
10
01
00
00
11
10
10
11
01
10
10
11
00
00
00
10
00
01
10
11
00
00
10
01
00
10
10
10
01
00
11
01
00
10
00
10
00
00
10
10
00
10
10
01
10
10
11
00
11
01
10
11
10
00
00
01
10
01
10
10
10
10
10
10
10
01
00
11
10
11
01
00
00
10
00
00
00
11
10
00
10
11
01
00
00
10
10
10
00
10
00
10
11
00
10
11
00
01
11
00
01
10
10
01
00
11
10
10
00
00
11
01
00
11
10
11
10
00
00
01
10
10
10
10
11
10
10
01
10
10
00
10
10
10
00
01
10
11
00
10
00
10
11
10
10
10
10
00
11
10
01
00
11
10
00
10
11
00
01
10
11
01
10
00
00
00
11
10
11
11
00
00
10
10
00
10
01
10
10
00
00
01
00
00
10
01
00
00
00
00
00
00
01
10
10
00
00
00
11
11
01
10
10
01
00
00
10
01
00
00
00
00
10
11
11
10
10
10
00
00
00
11
10
10
11
00
10
00
01
01
00
10
01
01
10
10
00
11
10
00
11
00
00
00
11
01
00
01
11
10
01
10
00
10
11
00
00
11
01
00
10
10
10
00
00
10
10
11
00
10
11
11
11
10
11
00
00
10
10
01
01
10
11
00
10
10
11
00
00
10
00
00
00
11
11
10
01
11
10
00
10
10
00
10
11
00
10
00
00
10
00
00
11
00
00
00
00
10
10
00
10
01
01
11
00
11
00
00
11
11
11
11
11
11
00
10
00
00
11
01
10
10
00
00
11
10
01
00
00
01
00
01
10
10
10
10
11
11
10
00
00
10
01
01
10
10
01
10
00
01
00
11
01
00
10
01
00
01
10
11
10
11
00
00
00
00
01
00
11
10
10
00
01
00
10
01
00
00
01
10
11
01
10
10
10
00
11
00
00
11
10
10
10
00
11
11
00
00
00
00
01
00
00
10
01
00
10
10
10
11
00
00
01
00
00
11
10
10
10
01
11
10
00
00
00
10
00
10
10
00
01
00
11
10
00
00
10
11
00
00
11
00
11
10
10
11
01
01
10
01
00
00
00
00
11
10
01
01
10
01
10
00
10
00
10
10
10
10
10
00
11
10
10
01
10
01
00
01
11
11
10
00
00
10
00
11
10
01
10
10
01
10
11
00
01
10
11
00
00
01
10
11
00
00
11
00
11
10
00
10
00
01
00
00
11
11
01
11
01
00
10
10
01
01
10
10
00
00
00
00
10
11
10
01
10
10
10
00
01
10
10
00
10
10
01
11
01
10
00
00
01
00
10
10
00
11
00
11
10
01
00
00
10
10
10
01
10
00
11
11
00
01
00
10
00
00
00
10
01
01
11
00
01
00
10
10
11
11
00
01
01
11
00
00
10
10
01
10
10
00
10
11
11
00
01
10
10
00
10
10
10
00
01
00
00
01
00
10
00
01
11
01
10
11
10
00
10
10
00
01
00
10
00
11
00
01
11
11
01
00
00
10
01
00
01
11
11
10
01
10
10
11
00
10
10
01
01
01
10
11
00
00
10
01
10
11
00
00
10
10
11
00
11
10
10
01
00
10
00
01
00
00
00
11
10
00
10
11
00
00
10
01
00
10
10
11
00
10
00
10
00
00
00
01
10
01
10
10
10
00
00
00
01
10
10
10
00
10
10
01
11
00
01
11
01
11
11
10
00
01
10
00
00
10
00
00
00
01
11
11
11
10
00
11
11
00
11
00
01
10
10
00
10
10
01
00
10
01
10
01
11
00
00
01
00
11
01
00
11
00
00
10
10
01
00
00
11
11
00
00
10
00
00
00
00
10
10
10
10
00
00
00
10
10
00
00
11
00
00
00
11
10
00
00
00
01
10
10
10
01
10
00
01
10
10
10
11
00
10
01
00
01
10
11
10
10
10
01
01
11
10
01
01
10
10
10
01
00
10
10
10
01
00
00
10
10
00
10
01
00
10
10
00
10
01
00
10
10
10
10
00
00
00
10
10
00
10
10
01
10
10
01
01
11
10
11
01
00
11
10
00
10
01
01
00
10
11
10
11
10
00
10
01
00
10
00
01
11
01
00
11
10
10
00
00
01
11
10
00
10
10
11
10
10
00
00
00
00
10
10
00
00
11
00
10
11
10
00
10
10
00
00
10
10
11
10
00
00
01
00
11
11
01
10
00
00
00
01
10
11
10
11
00
00
00
10
00
00
00
00
00
00
11
10
10
00
10
11
00
10
00
10
00
10
00
00
00
10
11
10
10
00
00
11
00
01
01
00
10
10
11
10
00
00
10
00
00
00
11
00
10
10
01
00
10
11
00
11
11
11
01
00
11
11
00
10
11
10
01
01
11
01
10
01
00
10
10
00
10
10
01
01
01
00
00
00
10
01
01
11
10
00
00
01
00
01
10
10
10
10
00
00
10
10
10
00
10
11
01
00
00
01
10
00
00
00
10
10
00
10
10
10
00
00
10
11
01
01
10
00
01
10
00
11
01
01
11
11
10
00
01
10
10
11
01
01
10
10
00
11
10
11
11
00
11
10
10
01
00
11
11
00
00
10
00
10
11
00
01
01
11
00
00
10
00
00
11
10
00
11
00
10
01
00
00
10
10
00
10
10
00
10
01
11
01
11
10
01
00
10
01
00
10
10
00
11
00
00
10
00
10
11
10
00
11
10
00
10
10
11
11
10
00
01
00
00
11
00
00
00
10
10
10
01
10
10
01
11
01
01
00
01
01
11
11
00
00
10
00
10
10
00
00
10
01
10
10
10
10
00
01
10
00
10
01
01
00
10
11
10
00
00
00
10
00
11
00
01
01
11
11
10
01
10
10
00
10
10
00
00
01
10
00
10
00
10
01
10
00
10
10
00
01
10
11
01
10
01
10
10
01
10
10
11
10
01
00
00
11
11
10
01
11
11
00
11
00
10
01
10
11
01
10
00
10
10
00
01
10
10
11
11
10
00
00
10
00
01
10
11
00
01
00
11
00
00
00
11
10
00
00
11
11
01
01
00
00
10
01
00
10
10
00
00
00
00
10
11
11
11
00
11
10
10
10
00
00
10
11
00
00
10
11
11
01
00
00
00
11
10
00
00
10
11
10
10
01
01
10
00
00
00
10
10
11
11
11
11
00
00
00
00
01
10
10
01
00
01
01
11
01
01
01
10
11
01
10
11
01
00
11
00
11
01
00
11
10
01
01
11
10
01
01
11
10
11
00
00
00
10
10
00
00
01
10
10
11
01
10
00
00
10
01
00
10
00
00
11
00
10
10
10
10
00
00
10
00
00
00
00
00
00
00
00
01
10
10
10
01
01
10
10
01
10
11
01
01
11
00
00
10
10
00
01
10
10
01
00
00
00
10
10
01
01
00
01
00
10
00
10
10
11
10
00
10
11
10
11
00
11
00
10
10
00
00
10
10
00
11
10
00
00
11
10
01
10
10
00
01
00
00
10
11
10
11
00
00
00
00
00
11
00
01
10
00
01
00
00
10
01
10
10
00
10
01
01
11
00
01
10
01
10
00
00
10
10
00
11
10
10
00
01
11
11
01
01
10
10
00
00
10
11
01
10
10
00
10
01
01
10
00
11
10
11
11
00
00
10
00
10
00
01
10
00
00
10
10
00
00
10
01
10
00
11
10
00
10
11
11
10
01
00
11
00
00
00
00
11
00
00
10
11
00
11
00
00
11
00
01
10
01
10
10
01
10
10
01
10
10
10
10
01
10
10
01
01
10
00
11
10
00
00
10
11
00
10
10
10
10
11
11
01
10
00
11
00
01
11
10
00
00
10
10
00
10
10
10
11
00
00
00
11
11
01
10
00
10
10
10
10
00
00
10
00
01
10
10
00
10
11
00
11
01
10
01
11
10
01
10
10
00
01
11
11
01
11
10
00
00
01
01
01
10
10
00
10
00
00
11
10
01
01
11
01
10
11
00
00
11
10
00
00
01
10
10
00
00
00
10
00
11
00
00
00
10
11
10
10
11
10
00
00
10
00
01
00
10
10
10
00
11
10
01
00
00
00
00
00
01
00
11
00
00
10
00
01
00
01
10
00
10
00
11
10
10
01
00
10
11
00
11
10
11
11
10
00
00
00
10
00
00
11
11
00
11
00
10
00
11
10
00
10
10
00
00
10
10
10
00
10
10
00
00
01
00
01
10
10
10
01
10
10
00
01
11
10
11
01
00
11
00
10
00
00
10
11
10
01
00
11
01
01
00
11
11
11
00
00
11
00
01
10
11
10
01
01
01
11
10
11
00
10
10
01
00
00
00
10
00
11
00
00
01
10
10
00
00
10
01
01
11
10
11
10
01
11
00
00
10
10
11
10
00
10
11
00
01
10
00
10
10
00
00
10
10
00
01
10
10
10
11
00
10
10
00
11
10
10
10
10
11
10
00
10
11
01
10
10
00
00
10
11
10
00
10
10
00
00
00
01
11
10
00
01
11
11
00
01
00
11
10
10
01
00
00
11
01
00
11
01
11
10
00
00
01
00
00
10
11
11
01
11
11
01
10
00
00
11
10
01
01
11
01
10
00
10
11
00
00
10
11
10
00
10
00
11
10
01
00
00
00
00
00
01
10
11
11
11
10
10
10
11
11
00
01
10
00
10
00
00
11
00
01
00
00
00
00
00
11
11
00
10
01
00
01
10
11
11
01
11
00
00
11
00
01
00
10
10
10
00
00
00
10
01
10
11
10
00
11
10
00
00
10
11
10
00
00
10
10
10
01
01
10
01
01
00
10
10
00
11
10
00
00
11
10
00
00
00
10
10
11
00
10
10
00
10
10
10
00
11
00
01
11
11
00
10
00
11
00
01
11
11
10
00
10
11
11
00
00
10
00
10
10
00
10
00
00
00
10
11
10
00
00
10
10
10
00
10
10
10
10
10
10
11
01
00
10
10
00
00
10
00
00
00
00
00
10
01
10
10
10
11
01
10
00
11
00
11
11
01
00
00
10
10
01
01
11
11
10
01
00
11
00
10
10
00
10
10
01
00
00
00
00
00
11
10
00
00
10
10
00
00
11
11
10
01
00
00
00
10
10
00
01
10
10
10
00
11
01
10
10
10
00
10
00
01
10
01
10
00
10
01
01
01
11
00
10
10
11
10
01
11
11
00
10
00
00
10
11
11
11
10
10
10
10
01
10
00
01
10
00
01
10
10
10
01
00
11
11
10
11
00
11
00
10
10
10
10
01
10
00
01
11
00
11
10
01
10
10
11
10
00
11
10
01
10
11
10
11
10
10
00
01
11
11
00
00
10
10
00
10
10
01
00
00
00
00
10
01
11
00
01
00
01
11
11
00
10
00
00
00
11
10
00
01
00
00
10
00
01
10
00
01
10
01
10
11
10
01
00
11
01
01
10
00
00
10
11
00
01
10
00
00
10
10
01
10
11
10
01
11
01
00
01
00
10
10
01
10
11
00
01
01
10
00
01
10
10
11
00
11
00
00
10
11
00
10
11
01
10
01
11
10
10
10
00
01
10
11
11
00
10
10
00
00
11
11
01
10
00
01
10
10
01
10
10
00
01
00
10
10
10
01
10
01
00
11
11
00
00
10
10
01
00
10
00
10
11
00
01
10
01
01
00
11
10
10
10
10
01
00
10
10
00
01
10
10
00
01
10
00
10
10
10
00
10
00
01
11
00
00
11
11
10
01
10
11
01
00
01
00
10
10
00
00
00
10
11
10
10
11
00
00
11
00
00
11
10
00
00
01
10
10
00
00
00
00
00
00
00
10
10
01
00
10
10
10
10
10
00
00
10
10
10
01
11
01
10
10
00
00
10
10
00
01
10
11
10
10
00
00
11
00
10
11
01
10
00
00
00
11
10
01
00
10
10
11
10
00
01
10
11
01
00
10
01
01
00
10
10
11
11
01
10
01
00
10
11
10
01
10
00
00
00
00
11
00
01
01
10
10
00
10
10
10
10
00
11
00
00
00
10
01
00
10
00
00
10
01
10
01
00
10
11
10
11
10
00
10
00
10
11
00
10
11
01
00
00
11
01
11
11
10
00
10
00
00
11
10
01
10
01
10
10
10
11
11
11
10
01
00
10
00
01
10
10
00
00
10
10
00
00
01
10
00
00
11
00
11
00
01
01
10
10
10
00
00
01
11
10
11
10
01
00
10
00
11
10
00
00
10
11
00
10
10
00
00
11
00
10
11
00
01
00
00
01
10
10
10
01
00
10
00
10
10
01
10
11
00
00
10
01
01
11
11
00
00
10
11
11
00
00
00
10
01
10
11
00
01
11
10
10
10
01
11
01
10
10
00
10
10
11
01
00
10
10
00
00
00
10
10
10
00
00
01
11
00
00
10
00
11
01
11
11
00
00
00
00
10
00
01
10
11
01
10
00
00
10
10
01
01
10
01
01
11
00
00
10
00
00
11
11
00
01
00
10
10
10
00
10
11
00
00
01
01
00
10
00
00
00
10
10
11
10
10
10
10
00
11
10
11
00
01
01
10
10
01
01
00
10
11
10
00
00
00
01
11
11
01
00
00
10
00
01
11
10
11
01
10
11
00
00
10
01
00
10
10
00
00
11
01
11
10
00
00
01
00
10
11
01
01
10
10
00
00
10
10
01
10
10
00
00
10
00
00
00
00
00
00
10
11
11
10
10
10
11
10
11
01
10
11
00
00
00
00
11
11
10
00
10
00
10
00
10
00
00
00
11
10
10
10
11
10
10
00
00
10
00
00
11
10
01
10
10
01
00
01
10
00
11
10
00
10
00
01
01
10
01
10
10
00
01
11
01
10
10
01
10
00
00
00
11
10
11
10
01
00
00
10
10
10
01
00
00
00
10
11
00
10
00
00
00
00
11
11
00
00
01
00
00
00
11
11
10
10
11
00
11
10
00
11
10
10
10
10
00
00
00
01
00
10
10
10
10
11
01
11
11
11
00
00
11
01
10
10
00
00
01
00
11
00
00
10
10
10
00
11
00
11
00
00
10
10
00
00
10
10
10
00
00
01
01
10
10
00
10
10
00
10
10
10
00
10
00
00
10
01
00
00
10
10
10
10
00
00
10
10
01
11
11
10
00
01
10
00
00
01
10
10
10
00
01
00
01
10
00
01
01
01
11
11
11
00
11
01
01
00
10
10
00
10
11
01
01
11
10
10
00
10
10
10
11
00
00
11
00
00
01
11
00
01
00
10
10
00
11
10
10
01
00
10
00
11
00
11
10
10
10
01
00
11
10
10
01
00
11
01
11
10
01
01
11
01
01
10
10
10
00
00
01
11
11
00
01
10
11
00
10
10
01
00
10
00
01
01
11
00
00
00
11
10
00
00
00
10
11
10
10
10
00
00
10
10
00
00
10
00
11
11
11
11
11
00
01
10
00
10
00
01
11
01
01
01
10
00
10
00
10
11
00
00
00
10
00
10
11
01
00
00
00
10
00
10
11
10
01
11
01
11
10
00
01
10
10
00
00
00
10
00
00
11
01
00
00
11
10
10
01
00
01
01
10
01
10
00
10
01
00
11
11
11
01
11
01
00
01
10
01
10
00
00
10
10
01
10
10
10
01
00
00
10
00
10
00
00
00
00
11
10
01
10
00
10
01
01
10
11
00
10
11
01
10
00
11
01
01
10
01
11
11
11
10
10
00
00
00
00
10
11
01
11
11
00
10
01
10
10
00
00
10
00
11
00
10
10
00
10
01
11
01
00
10
11
01
01
00
00
11
00
11
10
10
10
11
10
10
10
00
10
01
01
00
10
10
00
11
00
11
10
01
01
11
01
10
01
00
11
10
00
01
10
00
00
10
10
00
11
10
11
00
00
01
00
00
01
01
00
01
00
10
01
10
10
00
00
11
01
10
11
00
11
11
01
00
00
00
10
01
00
00
10
10
01
10
10
10
11
01
10
10
10
00
11
10
01
00
00
10
10
01
00
10
10
11
00
01
00
10
10
11
11
00
00
11
00
00
00
10
00
01
01
11
10
11
00
10
10
10
00
01
00
11
00
00
00
10
00
00
00
10
11
10
11
00
10
00
10
01
00
11
00
10
11
00
01
11
10
00
10
00
01
00
10
10
10
11
10
11
01
00
11
00
00
00
00
11
10
01
01
00
00
10
10
00
11
10
11
01
01
00
00
10
00
10
01
10
10
10
01
00
10
00
01
00
11
00
11
10
00
11
00
00
01
00
10
01
00
11
00
00
10
11
01
00
00
10
01
10
11
00
00
01
10
00
10
00
11
00
11
01
10
11
01
10
00
00
10
10
01
00
10
10
11
00
00
10
10
00
00
00
10
10
00
00
00
11
11
11
00
00
11
10
00
01
00
10
00
11
10
01
11
10
00
00
00
01
10
00
00
10
10
00
01
10
11
01
00
01
10
10
11
10
01
10
10
00
11
00
10
10
01
10
11
00
00
11
10
10
11
10
01
10
00
00
10
01
00
10
10
10
00
11
00
00
10
01
10
11
10
00
10
11
10
01
01
10
11
01
00
10
11
00
11
10
10
01
00
10
10
00
01
00
10
10
01
00
10
01
00
10
10
10
00
10
11
00
11
10
01
10
00
11
10
10
00
01
00
10
10
11
10
10
11
00
01
00
10
00
11
01
01
00
10
11
00
00
10
10
00
00
00
11
00
10
11
01
10
00
10
10
00
01
11
10
10
00
11
00
10
10
01
00
01
00
11
01
00
01
00
11
00
01
10
10
10
01
00
10
10
00
00
01
10
01
01
01
00
00
10
10
00
00
10
11
10
00
11
00
11
11
00
00
01
10
10
00
00
10
00
00
00
00
11
00
11
00
11
11
10
00
00
10
11
10
01
11
10
11
00
10
10
01
01
10
00
01
00
11
00
01
00
11
10
00
11
11
10
10
11
01
10
00
01
11
10
01
10
10
10
01
01
10
00
01
00
00
10
01
00
11
01
11
00
00
00
00
10
00
10
10
00
00
00
00
01
00
10
10
10
00
00
01
10
11
01
10
01
10
01
00
00
10
10
10
01
11
11
10
11
11
10
00
01
01
11
11
01
11
00
10
01
00
11
10
00
00
11
00
11
00
00
00
00
11
10
00
11
10
00
11
11
00
01
00
00
10
10
00
10
11
00
01
10
00
00
11
00
00
10
10
01
11
00
00
00
10
11
00
00
10
00
01
01
00
10
00
00
00
00
10
10
00
00
10
11
00
01
10
01
00
00
00
11
01
00
00
10
11
11
01
00
00
00
10
01
10
00
11
00
10
10
11
01
01
01
01
01
11
01
10
01
00
11
11
00
00
10
00
00
10
10
01
00
10
11
00
00
01
10
11
00
00
11
11
11
00
10
01
00
01
10
11
00
00
00
10
00
00
11
10
00
10
10
00
00
00
00
01
10
01
00
10
00
00
00
11
10
01
10
11
00
00
10
00
01
10
10
01
10
00
01
10
10
00
00
10
10
01
11
10
10
00
00
00
10
00
01
01
10
10
10
10
11
01
00
01
11
10
01
00
11
01
00
10
10
11
00
11
10
00
10
10
10
00
00
11
11
01
00
11
00
00
10
10
11
00
10
11
00
10
10
11
00
00
00
11
00
00
00
00
10
11
10
11
11
00
00
00
10
00
10
11
01
00
00
00
00
10
00
10
10
00
01
11
00
11
00
01
10
10
10
00
00
10
10
00
10
10
10
10
00
00
11
10
10
00
00
11
10
00
00
00
00
01
11
01
10
10
00
10
10
00
00
11
10
00
11
10
11
00
00
00
10
10
11
00
11
00
10
01
10
10
00
10
10
11
01
11
11
10
10
00
00
11
11
00
00
00
10
00
10
00
10
10
01
10
10
10
10
10
00
01
11
10
11
00
00
11
10
10
01
10
10
10
00
01
00
11
00
01
10
10
11
00
00
11
11
00
01
11
11
01
01
00
10
10
00
00
10
11
00
00
10
10
01
00
11
10
11
10
00
00
01
10
11
11
00
10
11
11
00
00
11
10
01
11
00
00
10
10
00
00
10
01
10
11
01
10
01
11
10
00
01
10
00
10
01
11
00
00
11
10
10
01
00
01
01
10
11
00
00
10
10
10
00
00
11
00
00
01
00
01
10
00
00
00
10
11
11
00
10
10
00
10
01
00
01
10
10
01
10
10
11
01
01
10
00
00
10
00
10
01
00
10
10
10
10
00
00
00
11
01
00
11
11
11
00
10
10
01
00
10
10
01
00
00
00
10
00
10
00
00
10
00
00
01
11
10
01
10
10
10
10
10
00
10
10
11
00
10
00
10
00
10
10
00
00
01
11
10
10
01
01
00
11
10
11
10
10
00
00
11
00
01
10
10
01
10
00
10
10
00
00
11
10
01
11
10
00
10
01
11
00
00
00
00
01
01
10
00
01
10
01
01
10
01
10
10
10
11
01
01
10
00
00
10
00
10
10
01
00
10
10
10
00
10
00
01
10
10
00
10
10
00
01
01
01
11
10
11
00
01
10
10
01
00
10
01
10
10
01
00
00
10
00
00
00
10
00
00
10
01
11
00
01
10
00
00
10
10
10
10
00
01
01
11
11
01
00
10
00
00
10
01
10
10
01
01
00
10
10
11
00
00
00
11
10
00
10
01
10
11
01
00
01
00
10
10
01
10
00
11
00
00
00
01
10
11
10
00
00
10
10
10
11
00
00
00
00
10
10
01
00
00
10
10
10
10
00
00
01
10
11
10
10
01
00
00
10
00
00
00
01
00
01
10
11
10
00
10
01
00
11
11
11
00
11
10
00
10
00
00
00
01
10
11
01
10
10
00
01
11
11
00
11
01
00
10
11
01
10
10
01
11
10
11
00
11
00
00
11
10
11
11
00
01
11
10
00
10
10
01
10
00
10
01
11
10
00
10
10
00
10
11
00
10
01
00
00
01
10
00
01
10
00
00
00
10
10
00
00
01
10
10
10
10
10
00
10
11
01
01
00
00
10
01
10
10
00
00
10
10
00
00
00
01
00
00
00
10
10
00
10
10
10
10
00
01
01
00
11
10
00
01
00
10
00
01
10
00
00
11
10
00
10
10
11
00
11
00
01
00
00
00
11
10
10
10
00
00
00
00
10
11
10
01
01
10
10
00
00
10
10
01
00
11
00
00
11
10
00
10
01
00
00
10
11
11
10
11
01
10
01
01
11
01
00
10
10
00
10
01
00
11
11
00
10
10
00
01
10
10
11
00
10
10
11
00
11
00
00
11
10
00
10
00
00
11
10
00
00
00
10
10
01
10
10
01
10
11
10
11
00
01
10
10
00
00
01
11
00
00
00
11
00
10
01
10
10
00
10
10
00
00
10
10
10
00
01
11
00
10
00
10
00
01
10
00
11
00
01
10
10
10
00
11
01
01
10
00
10
00
10
01
01
10
01
01
10
01
00
10
10
11
01
10
10
00
00
10
10
01
01
10
10
11
10
00
11
10
00
00
01
10
10
10
00
11
01
00
10
11
10
11
00
00
00
10
11
10
00
01
01
11
11
10
00
00
00
00
10
00
01
00
00
01
11
11
10
00
10
00
00
00
00
11
01
11
11
00
00
11
00
00
10
10
00
10
10
11
10
10
00
01
00
10
00
00
10
10
10
00
01
10
10
10
10
11
11
00
00
11
10
00
00
10
10
01
10
01
00
01
00
01
11
10
00
11
11
01
00
10
11
00
10
01
01
11
11
01
10
11
00
11
01
00
11
01
10
00
10
10
01
00
10
00
10
00
11
10
00
01
10
10
00
10
11
11
10
10
00
10
10
00
10
00
00
10
10
01
10
11
10
10
10
11
10
00
10
10
00
10
10
00
11
00
00
00
01
10
00
00
11
10
10
10
00
00
00
00
11
10
11
00
10
10
11
10
10
01
01
10
01
00
00
01
00
10
10
11
01
11
00
10
10
00
00
00
10
10
10
11
01
00
11
01
10
01
01
11
10
00
00
00
00
10
11
00
11
10
00
01
00
00
01
00
11
11
10
00
01
01
10
00
10
01
00
10
11
11
01
10
10
01
00
00
10
00
00
00
10
10
01
10
01
11
01
11
10
10
00
10
10
11
00
01
10
00
01
01
11
00
10
10
00
11
11
00
10
10
10
00
00
01
00
00
11
00
01
10
11
00
11
10
01
00
10
00
11
10
00
00
11
10
01
00
11
11
00
01
00
11
10
11
00
01
01
10
11
00
01
10
00
00
00
01
10
11
00
10
00
01
00
11
10
00
01
10
01
10
10
00
11
00
11
00
00
10
11
10
01
10
01
01
10
10
00
01
10
00
01
00
11
11
10
10
00
00
11
00
00
01
00
10
10
00
00
00
11
00
10
10
11
00
01
11
11
00
01
00
00
00
11
00
00
01
00
00
00
00
00
00
00
10
10
01
10
00
00
00
10
00
11
01
10
00
00
10
00
01
01
10
11
10
10
00
00
00
00
10
10
00
01
00
01
00
10
01
10
00
00
11
10
10
00
01
10
00
00
11
10
10
00
11
00
00
10
10
10
00
10
00
10
01
01
01
10
11
00
00
01
10
11
10
10
00
10
00
01
00
11
00
00
10
00
00
11
01
00
11
00
00
11
10
00
00
00
10
00
11
10
00
10
10
11
10
00
11
00
10
00
00
11
00
01
10
00
01
00
10
10
00
00
01
00
01
00
10
10
00
10
00
01
11
00
10
01
00
11
01
10
00
01
10
10
01
00
10
11
00
11
01
00
01
01
11
10
11
00
01
10
11
01
11
11
00
00
11
10
00
10
00
00
00
10
00
00
10
10
10
11
00
00
11
00
00
01
00
10
11
01
00
00
10
11
10
01
00
10
00
00
00
10
10
10
00
01
11
01
01
11
00
10
10
10
00
00
00
11
10
10
10
11
01
00
00
10
00
11
00
00
11
01
00
01
00
10
00
10
11
10
10
00
00
01
10
10
01
01
10
11
11
10
01
11
01
01
00
11
00
01
10
11
00
01
10
11
00
01
01
00
11
00
10
10
11
00
01
11
10
11
00
01
01
01
11
00
10
11
11
00
11
00
00
11
00
00
11
10
00
11
01
10
00
10
00
00
10
01
01
00
10
11
10
01
10
10
11
00
00
10
00
00
00
01
10
01
10
01
01
11
00
01
10
10
00
00
11
10
10
00
00
00
10
01
10
00
00
10
01
10
10
01
11
10
01
10
10
01
10
00
11
11
00
10
10
00
00
00
00
00
00
00
10
00
10
10
00
10
11
10
00
00
11
00
00
11
00
00
11
00
10
10
11
00
10
11
10
10
00
01
01
00
11
10
00
00
00
00
00
11
11
01
10
00
11
10
11
00
10
10
11
01
00
00
10
11
10
00
10
10
00
11
01
00
00
00
10
00
10
11
01
00
00
10
11
00
00
00
10
11
11
01
01
10
01
01
10
10
00
01
10
11
00
01
10
11
00
11
00
01
10
10
00
01
01
10
10
00
00
00
01
11
10
00
01
10
00
00
10
11
00
00
00
00
10
10
10
10
01
00
00
11
10
00
10
11
10
11
00
00
00
10
10
00
10
11
00
00
01
10
11
00
00
10
10
00
11
11
00
00
00
00
10
00
00
00
11
11
10
10
00
10
00
10
11
01
11
01
00
01
10
00
00
00
00
11
00
00
11
10
01
00
10
10
01
01
01
01
11
10
10
00
10
00
01
00
11
00
00
00
10
11
10
11
00
00
11
00
00
10
00
00
11
11
10
10
00
01
10
00
00
10
01
11
00
10
10
10
00
00
10
00
11
10
00
00
01
10
10
01
01
11
00
00
10
10
10
01
10
00
00
00
10
11
01
00
11
10
10
00
11
01
10
01
10
11
11
10
10
01
10
11
11
01
00
00
00
10
11
00
01
10
00
00
11
11
10
00
00
00
00
11
10
00
11
10
11
11
01
01
11
01
00
11
10
11
10
00
00
10
10
00
10
11
01
01
10
00
10
11
00
11
10
00
00
10
00
10
11
00
00
11
01
00
00
01
00
00
10
10
10
10
10
11
10
01
00
00
10
00
11
01
10
11
00
10
10
10
00
01
00
10
11
10
10
00
10
00
01
01
00
10
11
00
01
10
10
10
10
01
00
00
00
11
01
10
10
11
11
00
10
11
10
10
01
00
01
11
10
00
00
00
01
11
11
00
00
10
00
00
10
01
01
00
10
10
00
00
10
01
00
10
10
01
00
00
11
01
11
01
01
10
10
01
00
10
00
00
10
01
01
11
00
00
00
01
10
11
00
00
10
00
01
10
10
10
11
10
01
01
10
10
11
00
00
10
10
10
10
00
01
00
11
10
00
00
00
10
00
00
10
10
01
10
11
00
01
10
10
10
01
11
10
10
00
00
10
00
00
10
10
11
10
00
00
10
11
10
00
10
00
00
01
00
11
00
11
11
01
00
00
10
10
00
00
11
10
01
01
01
10
11
10
01
10
01
10
10
00
00
00
10
11
00
01
00
11
00
01
00
10
00
00
10
10
00
00
00
10
00
10
10
10
01
10
10
10
00
01
00
11
00
00
11
01
00
11
00
00
10
00
01
11
00
01
00
01
10
11
10
00
00
00
01
10
10
01
00
10
11
00
00
11
11
00
10
10
10
00
00
10
10
00
00
01
01
11
10
10
10
11
00
01
11
01
00
11
00
10
10
00
00
01
00
10
10
10
00
00
11
11
01
00
00
00
00
00
11
10
00
00
00
00
11
00
00
00
00
01
10
00
01
11
10
00
00
10
01
00
00
10
10
00
10
01
10
10
10
01
10
01
00
10
01
10
10
00
00
10
10
01
00
10
01
00
00
00
11
00
00
10
10
11
11
10
10
00
00
10
00
00
00
10
00
00
00
11
01
10
10
10
10
00
10
10
00
00
11
00
01
00
10
10
00
10
00
00
00
10
10
00
10
01
11
00
11
00
11
00
00
11
01
01
10
10
01
11
00
11
10
01
10
00
01
00
00
00
10
11
01
00
11
10
00
10
00
00
00
10
11
10
11
00
10
00
01
00
10
11
01
01
01
10
11
11
01
00
10
11
01
10
00
00
10
01
10
10
01
10
00
10
10
00
10
11
00
00
10
10
00
10
01
01
10
10
11
00
00
01
11
11
00
01
11
00
01
11
01
00
10
00
10
10
01
10
10
10
01
01
01
11
11
10
00
00
10
00
00
10
11
00
00
01
01
11
11
10
10
10
01
10
10
00
01
10
10
10
10
00
10
00
00
01
11
10
00
10
01
00
10
00
00
00
11
10
00
00
01
00
11
10
01
10
00
01
00
00
10
00
10
00
01
11
00
00
00
10
10
10
00
10
10
00
10
10
11
11
10
01
01
11
11
10
00
01
10
10
00
10
01
00
00
00
00
00
10
10
00
01
11
10
10
10
00
10
00
00
10
01
11
01
00
10
11
01
11
00
01
10
10
10
00
00
11
11
00
01
10
01
01
01
11
01
00
11
11
01
00
11
10
00
01
11
11
00
00
10
11
00
10
00
00
01
11
01
01
11
10
11
11
00
10
10
10
00
00
00
11
00
10
00
00
00
00
10
10
10
01
00
10
10
01
00
00
11
10
01
10
01
01
10
00
11
10
00
10
11
01
10
10
01
11
00
10
01
11
10
11
00
00
01
01
10
10
00
00
11
10
10
10
11
00
00
01
01
10
10
00
11
10
10
00
00
00
11
11
00
00
00
00
10
11
10
00
00
10
00
00
00
10
00
00
11
11
11
00
11
01
00
10
00
10
10
01
00
00
10
10
11
00
10
01
10
11
00
11
00
00
10
00
10
10
00
10
01
10
11
01
01
00
10
00
00
10
10
10
01
00
00
00
00
10
00
01
11
10
01
11
10
01
10
11
00
00
10
00
01
10
01
00
11
10
10
10
01
00
00
10
00
10
10
10
10
00
00
10
10
00
10
00
00
11
01
00
10
10
00
10
00
01
10
01
11
11
00
10
11
10
10
01
00
10
10
00
11
00
01
11
00
00
00
01
00
01
10
10
00
00
00
00
10
11
01
10
11
10
10
10
00
01
10
10
00
11
00
10
00
10
00
11
11
10
10
00
00
01
00
11
00
11
10
10
00
00
00
11
01
11
00
00
10
00
10
11
10
01
00
10
00
01
00
10
11
10
10
00
01
01
00
00
10
00
00
01
00
01
00
00
00
00
10
11
01
10
10
11
00
00
10
10
10
01
00
10
10
00
10
10
11
01
01
10
01
10
10
01
00
00
10
10
01
10
00
01
10
00
10
01
00
00
10
10
11
11
10
01
11
00
00
01
00
00
10
10
10
00
00
10
11
10
01
00
01
00
10
10
00
00
10
00
00
10
01
01
00
01
00
00
10
00
11
00
10
11
00
01
10
10
10
10
01
00
00
10
10
10
01
01
00
10
00
10
00
01
10
01
11
01
01
11
00
10
01
00
00
10
10
00
00
00
10
11
00
00
00
00
00
00
00
11
10
10
11
00
11
10
00
00
00
00
01
11
10
00
01
10
11
00
10
10
01
10
11
00
10
00
01
10
01
00
11
10
10
00
01
00
10
10
01
00
00
00
00
10
10
00
00
11
10
00
10
10
00
11
00
10
10
00
01
00
00
11
11
10
01
10
10
11
00
00
10
11
00
00
11
01
10
01
10
10
11
10
11
01
00
11
11
11
00
00
01
11
01
00
01
11
00
00
01
01
10
10
00
00
11
11
00
10
10
00
11
10
10
00
10
10
00
01
01
00
10
01
10
00
11
01
00
00
00
10
10
01
10
00
10
10
11
10
10
00
00
11
10
00
10
10
01
01
10
00
01
10
11
00
10
10
11
00
10
10
00
11
10
10
00
11
10
10
00
01
00
00
11
00
10
10
10
00
11
10
00
00
10
01
00
11
00
00
11
10
11
11
00
01
11
10
01
11
00
11
00
11
10
10
01
00
00
10
10
00
00
10
11
00
00
10
00
10
10
10
10
10
00
10
00
00
10
11
11
10
10
01
01
00
10
11
10
10
10
00
01
10
11
00
10
10
10
11
01
11
01
10
10
00
10
01
10
10
01
01
10
11
10
00
10
10
00
10
10
10
01
10
10
00
01
00
11
00
11
10
01
10
11
10
01
10
01
00
10
01
00
10
10
10
00
00
10
01
00
11
10
10
00
10
00
00
00
01
10
10
11
10
00
10
10
11
11
11
00
01
11
11
00
01
10
10
01
00
00
10
10
10
11
10
01
10
01
01
00
01
11
10
01
10
10
11
00
00
00
00
10
10
00
00
11
10
01
11
00
01
01
10
01
10
01
00
10
10
11
00
11
00
10
00
11
00
00
10
10
00
00
10
00
00
10
01
10
01
10
10
10
10
00
10
10
00
01
10
10
00
01
10
11
10
11
00
00
00
00
10
10
11
00
10
11
00
10
10
00
10
01
00
10
00
10
00
11
00
01
01
01
01
11
10
10
00
00
00
00
10
11
00
00
00
00
00
10
11
11
00
00
10
10
10
01
11
11
00
10
00
00
10
11
00
01
10
00
00
00
00
01
10
10
00
00
11
01
10
00
10
10
00
11
10
00
11
10
01
01
00
00
10
10
00
10
10
00
01
10
00
10
01
10
11
11
11
00
11
10
11
11
01
10
01
00
11
10
00
01
01
00
11
10
11
00
00
11
00
10
11
00
01
10
01
01
00
10
11
00
00
10
10
10
00
11
10
01
01
11
00
00
00
00
00
01
00
11
10
11
00
00
11
00
11
00
11
10
10
01
01
10
01
11
10
00
00
00
11
11
00
10
01
10
10
00
01
10
00
01
01
01
00
11
10
11
11
01
01
01
00
10
11
10
01
10
10
10
10
10
00
00
00
00
00
10
11
11
00
00
11
01
01
10
10
00
00
10
00
10
10
00
10
00
00
01
00
10
01
00
10
01
00
11
00
11
00
00
10
10
10
01
01
01
11
10
00
11
00
11
00
00
11
10
00
01
00
10
10
11
00
01
10
10
10
00
10
00
10
10
01
01
10
01
10
10
11
10
00
00
10
10
00
01
00
10
01
10
00
00
00
10
00
10
00
10
10
10
00
00
00
01
10
10
00
11
01
10
11
10
01
00
11
10
00
00
10
11
10
10
00
10
10
00
10
11
01
00
00
00
10
10
01
00
01
10
11
00
10
10
01
01
10
01
00
00
01
00
11
11
00
01
10
01
10
01
00
00
00
10
00
00
00
11
11
10
11
00
01
10
10
00
10
00
00
10
11
00
01
10
10
01
00
11
10
11
00
01
00
00
00
10
00
01
10
11
10
00
00
00
00
11
10
01
00
00
11
00
00
10
00
00
00
11
10
00
00
00
10
11
10
00
01
00
11
10
00
01
10
10
00
10
10
00
01
01
01
01
01
00
10
01
10
00
01
01
10
00
10
10
10
10
00
00
11
11
10
11
00
00
10
00
01
01
11
10
11
10
01
10
01
11
11
11
01
11
10
00
11
00
00
11
10
11
00
11
00
00
10
00
00
10
01
00
10
10
00
00
00
01
00
10
00
00
01
11
10
01
00
10
00
10
11
01
01
10
00
00
00
01
00
10
10
01
10
00
01
00
01
11
00
10
01
11
10
01
00
10
10
10
10
00
01
10
10
00
11
00
01
01
11
10
00
11
01
00
11
10
00
01
01
00
11
10
10
10
01
00
10
10
00
10
01
11
11
10
11
10
11
10
00
00
10
10
00
11
10
11
10
11
00
00
00
00
00
01
10
01
10
10
01
00
11
01
10
10
00
00
10
10
00
10
00
10
10
00
11
10
00
00
10
10
10
01
10
10
00
00
00
10
00
00
10
00
10
10
01
00
10
01
00
10
01
01
00
00
01
10
10
00
00
00
01
00
11
10
01
10
10
00
00
10
11
01
00
00
11
11
01
00
00
11
00
10
00
10
10
10
00
01
00
00
01
00
01
00
10
01
11
01
10
10
00
01
10
11
00
00
10
00
00
10
11
00
00
10
10
10
01
10
01
01
11
10
01
01
10
00
01
11
10
00
10
11
00
00
10
10
10
10
00
00
00
11
00
11
10
00
01
10
00
11
00
00
00
10
11
10
01
01
10
01
10
10
00
11
10
10
11
00
00
10
10
11
00
10
00
11
00
01
10
00
11
10
00
00
10
11
00
00
10
10
10
10
10
00
00
10
00
10
00
11
10
10
01
10
10
10
01
00
10
10
00
10
10
10
11
11
11
00
01
11
10
01
01
01
10
01
00
10
00
10
11
11
10
00
10
00
10
10
01
01
10
10
11
00
10
10
00
10
10
00
10
11
00
10
10
10
00
11
00
00
00
11
00
11
01
01
01
01
00
10
00
11
11
01
11
11
00
01
10
00
10
10
00
11
10
00
10
10
11
10
00
10
10
01
01
11
00
01
10
01
00
10
00
01
01
10
11
10
11
00
10
01
10
11
00
11
10
00
10
10
01
00
01
10
01
10
00
11
00
11
10
11
00
00
01
00
10
00
10
11
00
11
10
00
00
10
11
10
10
00
00
00
00
00
11
10
00
10
01
01
00
00
10
11
01
01
00
10
00
10
10
00
00
00
10
10
10
10
00
10
01
10
10
00
00
01
00
10
11
00
00
00
00
10
00
10
00
01
10
01
10
00
10
01
10
10
00
00
00
11
10
01
00
01
11
00
00
00
10
10
10
01
00
00
11
00
00
01
00
10
10
00
00
10
01
00
11
00
00
10
10
10
10
11
00
00
00
00
10
10
10
00
10
00
01
10
01
00
01
00
00
00
00
10
10
10
01
11
10
10
10
10
10
00
11
00
10
11
00
11
10
00
01
10
01
10
00
00
11
01
01
10
10
11
11
01
00
11
11
10
11
10
00
00
10
11
11
11
10
00
01
00
00
11
11
00
00
11
00
11
00
10
10
10
10
00
00
00
01
11
00
10
10
01
10
11
10
10
01
00
10
00
10
10
01
11
01
11
10
00
10
10
10
00
00
00
11
10
10
01
00
11
10
00
00
01
01
01
00
11
11
10
11
01
00
10
00
00
11
01
01
10
00
10
10
10
00
00
10
10
11
10
00
10
10
01
10
10
00
00
10
01
00
00
10
10
10
10
11
00
00
10
10
00
11
01
00
10
10
01
11
10
00
11
01
00
11
10
10
11
10
00
00
00
11
10
10
00
10
10
01
10
10
00
00
00
11
11
00
11
11
00
00
11
00
01
11
00
10
00
00
10
01
10
10
01
11
01
00
00
11
11
00
11
10
01
00
11
00
11
00
01
10
10
00
01
00
10
10
00
00
11
10
10
01
10
00
10
11
00
00
10
01
11
10
10
10
00
10
10
01
00
00
01
01
01
00
00
00
11
00
10
10
01
10
11
01
00
00
00
00
00
10
10
00
00
10
10
10
10
00
10
11
00
11
10
10
01
00
00
00
11
10
00
10
10
00
10
01
11
00
01
10
10
10
01
00
01
11
00
00
10
10
00
01
10
00
00
00
01
11
11
10
11
00
10
00
00
10
00
00
10
11
01
10
10
10
01
11
01
10
01
00
10
01
00
00
10
11
00
00
00
10
10
10
01
00
11
11
11
11
00
10
00
10
10
10
11
00
00
01
00
00
11
01
00
01
10
00
00
00
00
01
00
10
10
10
11
00
10
01
10
11
00
00
00
10
10
10
00
11
00
00
11
10
10
11
00
00
01
10
11
11
00
11
00
00
00
10
10
01
10
10
10
01
11
10
00
10
11
00
00
01
11
01
01
01
00
10
11
00
10
10
00
00
01
00
11
10
11
01
00
01
11
00
01
11
11
01
01
11
01
10
11
01
00
11
00
11
10
10
00
01
11
10
10
00
00
10
10
11
00
00
10
11
10
00
01
00
01
11
10
01
11
11
10
11
01
00
10
10
00
00
10
10
00
00
00
01
00
10
00
10
10
10
00
00
00
11
10
11
11
10
00
00
01
11
11
00
11
00
00
11
00
11
01
00
11
00
10
10
00
00
00
10
10
00
11
10
10
00
00
11
11
01
00
10
00
10
01
00
10
10
00
11
10
00
00
11
10
00
01
10
00
00
10
01
00
11
11
11
00
10
01
00
11
10
10
10
10
00
01
00
11
01
10
00
00
10
11
00
10
10
00
10
01
00
01
10
11
00
10
10
01
00
10
00
01
10
10
10
01
10
11
10
00
10
11
10
00
01
10
10
00
00
10
11
01
11
01
01
10
00
01
10
00
01
10
10
11
00
10
11
10
10
01
00
01
01
00
10
00
00
11
00
00
00
00
10
10
00
11
01
00
00
10
00
00
01
00
11
11
00
00
11
11
11
10
00
10
10
00
00
11
10
00
10
01
10
01
10
00
11
10
00
10
10
01
00
00
00
01
01
00
00
10
10
10
11
00
10
01
10
01
00
10
10
11
00
01
10
10
00
00
11
00
01
11
10
10
00
00
00
11
10
01
01
10
00
10
11
11
01
00
00
00
00
01
00
11
11
00
00
00
11
00
11
10
00
10
00
00
00
10
10
10
10
00
10
11
00
10
11
11
00
01
10
11
00
10
00
00
00
10
10
00
10
01
00
10
10
10
00
01
10
00
00
10
10
01
10
11
00
00
11
00
11
10
00
00
00
00
11
10
10
00
10
11
01
10
10
00
00
10
01
01
01
11
10
10
10
01
01
10
10
10
01
00
00
11
00
01
01
00
00
01
10
10
10
00
00
00
10
10
11
01
11
00
10
00
00
01
11
00
00
00
10
10
00
00
10
11
00
11
01
00
00
00
00
11
11
00
10
10
11
01
00
10
00
01
10
10
01
11
11
10
01
10
00
00
00
00
10
00
10
10
00
10
00
10
11
01
01
10
00
10
00
00
11
00
00
00
00
10
00
10
01
00
10
01
10
01
11
01
11
00
11
10
10
00
00
00
10
01
10
10
00
10
00
00
10
10
00
10
11
00
10
11
00
10
00
00
10
01
00
10
00
11
10
10
01
00
01
11
10
00
00
01
10
11
10
00
00
00
00
00
11
10
00
00
01
10
00
00
10
11
00
11
00
00
10
11
11
00
10
10
10
00
00
01
10
11
01
10
10
10
00
10
10
00
10
01
10
11
00
01
11
11
11
01
11
00
11
10
11
00
01
10
10
10
00
10
00
11
10
00
11
10
10
10
10
00
10
00
00
01
10
01
10
10
11
10
10
10
00
00
01
00
10
00
01
10
01
00
11
10
10
11
01
00
10
01
00
10
01
01
11
10
11
00
00
11
10
00
00
10
11
10
00
01
10
00
00
10
10
00
00
11
01
01
00
10
00
01
11
10
10
00
10
01
01
00
11
10
01
00
00
10
10
01
10
00
01
10
00
00
10
10
01
10
00
01
01
00
11
10
00
00
10
01
11
00
10
10
00
00
10
11
10
00
01
11
11
11
00
00
11
11
00
00
10
11
01
11
11
10
10
00
00
00
00
10
00
00
10
10
11
11
10
10
10
10
00
10
00
00
10
00
11
00
10
11
01
10
00
11
11
00
10
10
10
10
10
10
00
00
00
10
11
10
01
10
01
10
01
10
11
00
10
11
00
10
00
00
10
00
00
10
00
00
00
11
00
00
00
11
11
00
00
11
11
01
10
00
11
10
00
11
00
10
10
01
00
00
10
10
01
00
00
01
01
11
00
10
10
11
10
00
01
10
11
10
01
01
10
10
00
01
10
10
00
11
10
10
11
00
11
11
10
01
11
11
00
00
10
11
10
00
01
10
10
00
11
10
10
01
00
01
00
00
10
10
01
11
01
01
10
10
10
10
00
11
10
11
10
00
00
11
11
00
11
00
00
10
01
11
10
01
01
01
01
01
11
11
00
01
10
10
00
00
00
10
11
00
11
00
10
00
00
10
11
00
01
10
11
00
00
00
11
10
00
00
10
11
11
00
00
10
10
10
10
10
10
01
00
00
10
00
00
10
01
10
00
10
00
11
10
01
11
10
10
11
10
01
10
00
00
11
10
11
11
00
00
10
00
10
10
00
10
00
10
10
00
11
11
10
00
10
11
01
11
00
10
10
00
00
00
10
10
01
00
11
10
10
10
10
10
10
11
00
01
10
10
00
01
11
11
10
00
10
00
10
10
11
01
00
11
10
10
10
01
00
00
10
10
00
00
10
00
10
11
11
10
11
10
11
00
11
10
01
10
11
00
01
00
11
11
00
00
11
01
01
01
10
00
10
00
00
01
10
01
01
01
00
00
10
11
11
00
10
00
10
11
10
01
00
11
00
00
11
01
11
11
10
00
00
10
10
00
00
00
00
00
11
10
10
01
10
11
10
00
01
11
11
01
10
10
11
01
11
10
00
00
00
10
11
00
01
00
00
00
00
10
00
10
11
10
00
00
00
00
11
11
00
10
01
10
10
00
10
11
10
00
00
10
01
00
10
11
00
11
10
01
10
10
01
11
10
00
10
00
10
00
00
10
11
00
01
00
00
00
01
10
11
10
00
10
10
00
00
00
10
10
10
10
01
00
00
00
10
11
10
00
00
01
10
11
01
00
10
10
00
10
01
00
10
10
01
00
10
11
10
01
10
00
01
00
10
10
00
00
10
11
00
10
00
00
10
10
10
00
10
10
11
00
10
10
00
10
01
01
11
00
01
11
10
00
10
00
00
11
10
01
11
00
01
00
00
11
11
10
00
10
11
00
01
10
00
00
01
10
01
01
10
11
11
10
01
11
10
00
00
01
00
01
10
10
01
00
10
11
00
01
10
11
11
00
00
11
10
00
11
10
01
00
10
01
00
11
00
00
11
10
11
11
00
01
10
11
01
01
00
10
11
01
10
01
00
10
00
10
11
01
10
11
00
10
10
10
10
10
10
01
00
01
01
11
01
10
00
00
00
11
10
00
00
10
10
00
00
10
10
00
11
10
00
00
10
10
10
01
10
01
10
00
00
00
00
01
01
10
10
00
00
00
00
00
01
10
11
10
00
00
10
10
11
01
00
10
10
00
00
10
00
10
00
00
11
10
10
11
10
00
00
10
00
10
10
00
11
11
00
10
00
00
11
10
10
01
11
10
00
00
10
10
01
10
01
00
10
11
00
00
00
10
10
00
00
10
10
00
10
00
00
00
10
00
00
10
10
11
00
10
00
10
10
11
00
01
10
00
00
10
11
01
00
10
00
00
11
10
11
10
01
10
10
00
00
00
10
01
00
10
01
00
10
10
00
10
00
00
10
10
00
11
10
10
01
00
10
10
11
00
00
00
10
10
00
01
00
11
00
00
01
11
01
00
10
11
11
10
10
00
00
00
10
10
00
10
11
11
01
00
01
11
11
10
10
01
00
11
00
00
10
11
10
00
10
11
01
10
00
01
10
01
10
10
00
00
10
11
00
00
10
00
10
00
00
00
10
10
11
10
00
00
10
11
10
00
11
10
00
10
00
01
10
01
00
00
10
00
11
10
00
00
00
10
11
10
10
01
10
00
00
11
10
01
10
01
10
00
00
10
01
00
10
11
10
01
01
01
01
10
10
10
10
11
10
01
01
10
11
10
01
01
11
11
00
00
10
00
01
10
01
11
11
10
10
00
11
11
00
01
10
11
00
10
10
00
10
00
10
10
10
01
10
11
01
10
10
01
11
10
00
00
01
01
00
10
10
00
00
10
10
00
11
10
10
00
00
10
11
10
11
00
11
00
00
10
00
10
11
00
11
11
00
11
00
01
10
00
00
10
11
00
10
10
00
10
10
01
00
10
00
10
10
11
10
00
00
11
00
10
00
01
10
00
10
10
01
10
00
01
01
11
10
11
00
10
00
10
10
00
00
10
10
00
00
01
10
10
00
10
01
10
00
10
10
01
10
10
01
11
10
01
11
00
10
10
00
10
10
00
10
00
00
10
00
00
01
10
00
01
11
10
01
01
11
01
10
00
00
11
11
01
00
00
11
10
00
10
10
11
10
00
10
01
01
00
01
00
10
00
10
10
00
10
11
01
00
10
11
00
00
10
10
11
01
00
11
10
01
10
10
10
01
00
11
10
00
10
00
01
00
10
10
00
00
01
10
00
10
11
00
10
10
01
10
11
00
00
00
10
10
11
00
00
00
10
10
10
10
01
11
00
11
01
10
10
00
11
00
11
10
00
10
00
10
11
01
10
01
10
11
00
10
00
01
10
10
01
01
00
00
11
10
00
10
11
00
00
00
00
10
10
00
11
00
01
11
00
10
10
00
00
11
10
11
01
10
11
00
10
00
00
10
10
01
00
10
10
00
00
11
01
10
01
10
00
11
00
01
01
00
10
01
01
10
11
00
10
10
00
10
10
10
00
00
00
10
01
01
00
11
00
11
10
11
11
00
01
10
00
10
01
00
00
10
10
01
01
10
10
01
00
11
10
10
00
00
10
10
10
00
10
00
00
01
11
11
11
01
00
10
10
10
11
00
00
10
10
00
00
01
10
01
00
01
10
01
00
10
01
00
00
10
11
00
11
10
01
01
10
10
00
10
10
01
00
11
10
00
11
10
10
00
01
10
10
10
10
11
10
00
10
00
00
10
11
01
01
11
00
01
01
00
10
00
00
10
00
01
10
10
01
10
11
11
10
01
11
10
00
00
10
10
00
00
10
00
00
11
00
01
00
10
10
10
00
10
10
01
10
10
11
00
11
00
10
10
01
00
11
00
00
10
10
00
00
11
00
10
11
11
01
11
10
10
11
10
10
10
01
01
01
11
00
11
10
01
00
10
10
00
00
10
11
00
00
00
11
00
00
00
01
10
01
10
11
00
01
01
10
01
10
10
01
00
11
00
10
11
11
11
00
01
01
11
00
11
10
10
10
01
00
10
00
11
11
00
10
10
11
00
11
10
01
00
00
00
00
10
11
10
00
00
10
01
10
11
00
00
00
00
11
00
11
00
00
11
10
00
00
10
11
01
10
00
11
11
00
10
11
10
11
01
01
00
10
10
00
00
10
10
00
00
01
01
11
11
10
00
10
10
00
00
01
11
11
00
00
10
10
11
00
00
10
00
01
11
10
10
10
10
10
00
00
00
00
00
10
01
11
00
01
10
10
01
10
10
11
01
00
11
00
01
00
10
10
10
10
01
00
00
11
11
10
00
10
00
00
00
00
11
00
10
01
10
10
01
00
10
00
00
10
10
00
00
01
10
11
00
00
10
10
01
00
11
10
11
10
11
00
00
01
10
10
10
11
00
10
00
10
10
11
00
00
10
00
10
00
00
10
00
00
01
00
00
00
10
00
00
00
10
01
11
11
01
10
00
00
00
00
10
00
11
11
01
10
11
00
00
00
11
11
01
00
00
01
00
10
11
10
00
00
00
10
01
10
11
00
00
10
10
10
00
10
10
10
01
10
10
11
01
01
10
01
10
00
00
10
01
01
00
10
11
01
00
00
10
10
11
10
11
00
01
10
11
10
00
00
10
11
10
10
11
00
00
00
01
01
00
10
00
11
10
10
01
11
11
10
01
11
11
01
01
01
11
00
00
00
10
01
00
10
00
01
01
01
10
10
10
00
00
10
11
10
10
01
11
00
10
10
01
10
10
10
10
00
00
10
10
00
10
11
00
10
00
00
00
10
00
00
11
10
10
10
01
10
10
10
10
11
01
11
01
01
01
00
10
10
00
00
10
00
01
10
11
00
10
10
00
10
01
00
00
00
00
11
11
10
10
00
01
00
00
10
10
00
10
00
00
00
10
11
11
10
00
10
00
10
10
01
10
10
01
01
10
01
01
10
01
00
10
00
00
11
11
00
00
10
00
00
10
10
00
11
00
01
01
10
11
11
11
00
00
00
00
01
10
10
10
11
00
11
11
10
00
00
10
00
10
11
10
01
00
10
10
11
00
11
11
00
10
01
00
01
10
10
10
11
01
10
00
01
10
00
11
00
10
01
10
00
10
00
01
11
10
11
11
01
10
11
10
01
10
11
00
01
11
10
00
00
11
11
00
00
11
11
00
10
10
10
00
10
00
00
11
01
01
00
10
10
00
01
00
10
10
11
10
01
10
10
00
00
10
00
00
11
00
11
11
10
00
11
00
11
10
01
00
10
00
10
10
00
00
10
01
11
11
10
11
10
00
00
10
00
00
00
11
11
10
10
00
00
00
00
10
01
00
00
10
11
11
10
01
10
11
10
00
00
00
00
11
10
01
10
10
01
00
10
00
10
11
00
10
10
00
11
10
01
01
01
00
00
00
01
10
11
11
11
01
00
10
11
01
00
00
11
00
00
11
11
01
00
01
00
10
10
00
11
10
01
10
11
10
01
00
10
10
00
00
10
11
00
10
00
10
10
10
00
01
00
10
10
00
00
10
10
00
00
10
11
00
01
10
10
11
10
10
00
10
10
01
10
00
00
00
00
11
00
01
00
11
11
10
11
01
00
11
00
00
10
00
01
11
10
01
10
01
01
01
10
10
01
10
00
00
11
10
00
01
11
00
00
00
00
00
10
11
00
11
11
10
11
10
11
11
10
00
10
10
01
01
00
11
01
01
10
00
11
01
11
11
01
00
10
00
11
01
01
10
11
10
01
10
11
00
00
01
11
11
00
10
01
00
01
10
10
00
01
11
10
00
01
10
10
10
01
00
00
10
10
01
00
00
00
00
10
00
00
10
00
10
11
00
10
10
01
00
00
01
10
11
00
01
00
00
01
10
01
01
11
11
00
01
10
00
00
00
11
11
00
11
10
10
10
01
00
11
00
00
01
10
00
00
11
10
01
00
11
00
10
00
00
10
00
01
10
01
00
10
01
10
00
00
01
10
11
10
10
00
00
10
00
10
10
00
00
10
11
00
10
00
01
00
10
10
00
10
10
00
11
10
01
10
10
11
00
10
10
00
01
10
11
00
00
10
01
10
00
11
01
00
11
10
00
00
10
00
10
01
00
10
10
10
11
00
00
10
01
00
10
11
00
11
10
11
01
00
10
11
10
00
00
10
00
01
10
10
11
10
10
11
11
01
10
00
10
10
10
00
10
11
01
10
01
10
01
11
10
01
00
00
00
10
11
10
10
00
00
00
11
10
11
11
00
01
11
01
01
00
00
10
11
00
01
11
10
00
10
10
11
10
10
10
10
00
00
00
10
00
00
11
11
00
00
11
10
00
01
10
00
00
11
11
00
01
00
01
11
00
00
00
10
11
00
11
11
00
00
00
11
10
11
01
01
00
00
00
00
10
10
10
01
00
00
10
10
01
11
10
11
00
00
00
10
00
10
11
01
01
00
10
00
10
00
10
11
00
10
00
00
11
00
11
10
10
10
00
00
11
11
10
10
10
10
01
01
00
00
10
11
01
10
10
10
00
00
10
00
01
00
10
11
00
11
10
01
11
11
11
01
01
11
00
00
10
10
10
01
00
11
00
10
10
10
00
01
00
11
00
11
00
10
10
10
10
01
10
11
11
11
10
11
10
00
10
10
00
00
10
10
01
00
00
01
00
10
11
10
00
10
11
00
00
10
11
01
11
10
10
00
00
10
10
00
00
01
10
00
00
11
00
11
10
00
10
10
11
10
01
00
10
10
00
00
00
10
00
00
10
10
10
00
11
10
10
01
00
10
10
10
00
00
00
10
11
00
00
01
10
10
00
10
01
00
01
10
10
10
01
00
00
10
10
00
01
00
11
11
00
10
01
01
10
00
01
11
00
01
11
01
11
00
10
10
10
00
00
11
11
01
10
01
00
01
01
00
10
10
11
10
00
00
11
00
00
11
10
11
00
10
00
00
00
00
00
10
10
00
11
10
10
00
10
00
10
00
01
00
01
10
10
10
10
00
01
10
01
00
10
00
00
11
10
10
01
10
10
01
00
10
00
00
11
00
01
00
11
10
10
00
10
01
00
01
10
11
01
11
00
01
01
10
10
00
01
00
00
10
10
00
00
01
00
00
10
00
11
00
00
01
00
00
01
10
10
11
10
11
01
00
10
00
01
11
10
01
10
11
00
10
10
10
00
10
01
00
01
11
10
10
00
10
00
11
10
00
00
00
10
10
01
11
10
00
10
11
01
00
00
11
11
01
10
00
10
00
00
10
10
10
01
00
01
10
00
10
11
10
00
11
10
00
10
10
01
00
10
01
10
10
10
10
00
01
10
11
00
11
10
00
00
00
00
11
11
00
10
00
10
00
01
10
11
01
11
01
00
01
10
11
10
00
00
10
10
10
00
01
11
10
10
01
10
01
01
10
10
00
01
10
00
01
01
10
00
00
00
00
10
11
00
00
00
00
00
10
11
01
11
00
10
00
11
00
00
10
10
00
00
11
11
01
01
11
10
10
00
00
10
10
00
01
10
00
11
00
00
01
10
01
01
00
10
10
00
10
10
11
00
11
10
01
00
10
10
01
10
10
10
11
00
10
10
00
01
00
11
10
01
01
11
10
01
00
10
11
00
10
11
00
00
10
11
10
00
10
00
00
00
10
11
01
00
00
01
01
10
00
10
10
00
00
11
11
11
00
00
10
11
10
00
00
10
00
00
00
11
11
01
00
10
10
10
00
00
10
10
11
10
01
11
10
00
10
10
00
11
10
00
00
10
01
01
00
10
10
00
11
01
10
10
10
01
10
01
11
10
00
01
00
10
10
00
00
11
00
10
10
00
00
00
10
10
01
00
00
00
11
01
10
10
01
10
10
10
00
11
11
00
10
00
01
10
11
01
11
10
11
01
00
00
00
10
10
10
00
10
00
11
10
11
10
00
10
10
00
00
01
10
11
10
10
00
11
01
11
10
00
00
01
01
10
00
10
00
00
00
11
00
00
11
10
00
01
00
01
10
10
00
10
01
10
00
10
00
00
01
00
11
10
11
00
10
00
01
00
11
10
01
10
10
10
00
00
10
00
01
11
11
01
00
00
10
11
11
10
00
01
10
10
00
00
11
00
10
11
00
10
10
00
10
01
11
10
00
00
11
00
00
10
00
11
11
01
10
00
10
00
01
10
11
00
11
10
01
00
10
00
01
11
11
10
01
00
10
10
00
10
10
11
00
00
00
00
11
10
00
11
00
00
01
11
10
10
11
10
01
00
00
10
00
10
10
00
00
10
01
00
00
10
11
10
00
10
00
01
11
11
00
10
00
10
11
01
10
11
00
01
01
00
11
10
00
00
11
00
00
10
11
00
00
11
00
10
11
01
00
10
10
10
01
00
00
10
10
11
11
10
00
01
11
10
00
00
00
11
10
11
00
00
00
00
11
10
00
00
10
10
11
00
00
11
10
10
01
00
00
01
01
10
10
01
10
01
11
10
11
01
10
00
01
10
11
01
00
11
10
10
10
10
01
00
00
11
10
01
01
00
11
00
11
00
00
11
11
00
00
00
10
00
10
00
10
10
11
01
01
01
10
00
00
00
10
00
10
10
00
11
10
00
00
01
00
11
01
10
01
00
01
00
00
10
00
01
10
01
11
10
00
10
11
01
00
10
00
00
00
00
00
01
10
10
00
11
10
10
10
00
00
10
00
11
10
01
11
01
01
10
01
00
11
11
00
00
00
00
11
11
10
10
01
00
01
10
00
01
10
01
10
11
10
01
10
00
01
10
11
11
01
00
01
11
10
00
01
10
11
00
01
00
11
11
11
10
00
10
01
10
10
00
00
11
10
10
00
10
00
00
10
00
00
10
11
10
01
00
01
10
10
00
11
00
00
00
10
00
01
11
10
10
10
10
00
01
10
11
00
10
00
11
10
00
11
11
00
00
10
00
01
10
11
11
00
10
10
10
00
01
11
11
01
10
00
00
10
01
01
11
10
00
10
10
01
01
00
10
11
00
10
11
00
10
00
01
00
10
10
01
11
10
10
10
00
00
00
01
10
10
01
11
00
00
01
10
00
01
11
11
00
00
10
10
00
01
00
11
11
10
00
10
00
10
00
00
10
00
00
00
00
10
10
00
00
10
00
01
11
10
10
10
10
00
10
11
00
10
00
11
10
11
10
00
10
01
10
01
01
11
00
00
00
10
10
00
00
10
01
11
10
00
11
00
10
10
00
00
10
11
00
11
01
11
00
11
10
10
00
00
10
11
00
11
10
00
00
01
10
10
01
01
01
10
10
11
10
01
01
00
10
00
01
10
10
11
11
11
00
00
10
10
01
00
00
10
00
00
01
10
11
00
01
11
11
11
00
00
00
10
10
10
00
01
10
10
10
10
10
00
00
00
10
00
10
11
00
00
10
01
01
10
00
10
11
01
00
00
10
11
10
11
10
01
00
10
11
00
10
11
10
00
00
01
00
01
00
01
10
11
00
11
11
00
10
11
10
01
00
10
00
00
10
10
11
00
00
00
00
00
00
00
00
10
00
01
01
11
00
01
10
01
00
11
10
00
01
10
11
01
01
10
00
10
00
00
10
10
01
00
10
11
00
10
10
10
10
10
00
10
00
11
10
10
01
01
11
10
00
00
01
10
11
10
01
11
10
01
01
10
11
10
10
10
00
10
01
00
11
11
11
00
00
10
10
10
10
11
00
01
11
00
01
10
01
10
10
01
00
00
11
10
00
11
10
01
10
00
11
00
01
00
10
10
10
00
01
01
00
01
10
10
10
10
10
00
00
10
10
11
01
01
10
10
00
00
00
10
10
10
00
00
10
00
00
01
01
11
10
10
10
00
00
00
00
00
00
10
01
11
00
01
00
00
00
01
10
01
10
10
10
00
01
10
00
00
10
10
00
00
01
00
00
00
01
10
10
11
00
00
01
11
10
00
01
10
10
10
01
01
10
10
10
10
01
11
00
10
11
10
00
11
00
00
10
00
10
11
00
11
11
11
10
00
01
01
10
01
11
00
10
10
10
10
11
00
10
10
00
11
00
00
10
01
00
00
00
10
11
11
01
11
00
01
00
10
11
10
11
00
00
11
00
10
00
00
11
01
00
10
01
00
10
10
00
10
01
11
00
00
10
00
10
11
00
01
00
10
00
01
01
00
01
10
01
01
11
10
11
01
10
10
00
00
00
10
11
00
10
00
01
00
10
11
00
10
10
00
01
01
00
10
10
01
11
01
10
11
00
01
11
00
00
11
10
01
10
10
01
11
11
00
10
11
10
00
01
10
11
00
10
11
00
01
11
10
01
01
11
10
00
01
10
01
00
10
10
00
11
10
11
00
00
00
10
01
10
01
01
01
01
01
11
01
11
00
11
11
00
11
10
01
01
11
10
01
11
00
00
10
00
00
00
11
00
01
10
10
11
10
10
00
11
10
10
00
00
10
00
00
01
10
10
00
01
10
10
10
10
10
11
00
11
10
10
10
10
00
00
11
00
00
00
11
11
00
10
10
01
00
10
00
00
10
01
00
10
10
00
10
01
00
10
11
00
11
01
00
11
10
00
10
00
11
00
00
10
11
10
10
00
00
00
00
11
01
10
11
11
10
00
10
00
01
11
10
11
10
11
11
00
01
01
00
11
11
00
10
10
10
11
10
00
01
00
11
00
00
10
01
10
10
10
01
01
11
11
11
11
01
01
10
00
00
10
10
00
01
00
10
01
10
10
10
01
00
00
00
11
01
01
10
11
00
00
10
10
10
00
00
11
10
10
10
00
10
10
00
11
10
10
00
10
01
01
11
01
10
01
00
10
11
10
10
01
00
10
10
00
01
10
10
10
11
00
00
00
10
10
10
01
01
10
00
01
00
10
00
00
00
00
00
10
11
00
11
00
10
00
10
00
00
11
10
00
00
01
00
10
10
00
00
10
00
10
11
00
01
00
11
11
10
00
01
10
00
01
11
00
00
10
10
00
10
10
01
00
10
00
10
00
10
00
00
00
10
00
10
11
10
10
00
10
10
00
11
01
10
00
01
01
11
00
00
10
10
10
10
01
01
01
10
11
10
01
11
10
00
01
10
10
00
10
10
10
10
00
11
10
00
10
00
01
00
00
10
11
00
00
00
11
10
10
00
01
00
10
10
11
10
01
00
01
10
10
01
11
00
00
00
10
11
00
00
00
00
01
10
11
11
00
00
00
01
10
11
10
10
10
01
01
10
00
01
00
10
00
00
11
00
10
10
10
10
11
01
00
10
00
11
10
11
10
00
11
00
10
10
00
00
00
01
10
00
01
00
00
10
10
11
10
01
10
11
00
10
00
01
10
10
01
01
10
00
01
10
10
00
10
10
10
01
00
01
00
00
00
01
01
11
10
01
10
10
00
10
10
01
00
10
10
10
00
11
00
00
11
10
00
10
10
10
00
01
11
11
10
00
10
10
10
00
10
00
01
01
11
11
11
11
00
10
01
00
10
00
01
00
10
11
11
11
01
11
01
11
10
00
11
10
11
10
00
11
11
01
00
00
10
00
01
00
11
01
11
10
00
00
11
10
01
01
10
10
00
10
11
00
01
01
10
00
01
00
10
00
00
10
00
00
00
00
11
00
11
10
10
11
11
10
10
01
01
10
00
00
10
11
01
00
10
00
01
10
01
01
11
01
11
11
10
01
01
00
10
01
00
10
01
11
00
00
01
10
11
01
10
10
01
11
00
10
11
01
11
10
00
01
00
10
10
00
10
10
01
11
00
00
01
00
11
01
01
10
11
00
00
00
10
10
00
00
10
00
11
10
10
01
10
00
10
11
10
00
00
00
10
01
00
10
00
00
00
11
01
10
01
00
11
11
00
10
00
10
10
10
01
00
10
00
11
10
00
00
00
00
10
00
00
10
10
10
01
00
00
10
01
00
00
10
00
11
00
00
10
11
01
11
10
01
11
01
10
00
00
11
10
01
11
10
00
10
00
00
01
10
10
10
00
10
00
10
11
00
01
01
01
00
00
10
00
01
10
10
01
11
10
10
10
00
10
11
00
11
00
11
10
11
01
11
10
10
01
01
10
10
00
00
10
11
00
00
00
01
11
00
00
10
00
11
11
11
01
00
01
01
10
11
00
11
11
10
00
00
10
01
00
00
10
10
00
11
11
01
10
11
10
10
10
10
00
11
10
00
00
10
01
00
11
10
10
11
00
00
00
01
11
00
00
10
10
00
10
00
00
10
10
10
10
00
00
00
00
10
11
10
00
01
11
00
10
10
10
11
10
00
10
00
00
00
00
11
10
10
10
00
10
00
10
00
11
00
11
10
00
10
10
11
11
10
00
10
00
11
10
00
10
10
00
10
11
00
11
10
10
10
11
00
10
01
00
10
10
10
00
00
10
11
00
00
01
01
10
00
10
11
10
10
00
00
11
10
10
00
00
10
01
10
11
01
10
10
00
00
11
00
00
11
10
00
01
10
01
01
11
11
01
00
11
11
01
10
00
00
10
00
01
10
10
01
00
10
10
10
01
00
01
11
10
00
00
00
00
10
11
00
10
00
00
10
00
00
11
10
01
11
01
00
00
10
01
10
01
00
11
10
00
01
00
11
00
00
11
00
00
10
00
00
00
00
00
00
11
00
10
10
11
10
11
00
00
10
10
10
10
10
00
00
11
11
00
11
01
00
11
01
00
11
10
00
10
10
00
00
00
00
10
00
10
10
00
00
10
10
10
00
00
00
10
10
00
00
00
10
11
00
11
00
10
11
00
11
11
11
10
10
00
11
11
10
00
01
00
10
10
11
11
00
10
01
00
01
00
01
01
11
00
11
00
11
10
00
00
11
10
00
00
00
10
00
00
11
11
11
11
10
00
00
10
00
01
10
10
00
11
01
10
10
10
10
00
11
00
00
10
00
01
11
11
00
11
01
11
11
01
00
11
10
11
01
01
11
00
10
00
00
10
10
01
01
10
11
11
01
00
00
00
10
11
00
01
00
10
00
00
10
10
01
10
00
11
00
00
10
10
00
10
10
01
10
00
01
11
10
10
10
11
00
11
10
01
10
11
01
10
00
00
10
01
01
11
00
10
01
01
11
01
10
10
10
01
00
10
10
00
00
11
11
10
11
00
10
00
10
01
00
11
10
00
10
11
10
01
10
11
00
00
11
00
11
11
10
01
10
10
10
10
01
10
11
01
10
00
11
11
00
00
10
10
10
00
00
00
01
00
11
00
11
10
10
11
00
10
10
10
00
11
10
01
11
10
01
00
10
10
01
00
10
00
10
00
00
10
00
00
10
00
00
00
10
10
10
10
00
00
10
11
01
11
00
10
00
00
10
01
10
11
00
00
00
00
11
00
01
10
10
10
00
11
00
00
10
10
00
00
10
01
10
10
00
00
00
11
10
10
00
10
10
00
00
11
10
10
00
00
00
01
01
10
11
00
01
01
00
10
11
00
10
10
01
00
00
01
10
10
10
00
00
00
10
11
00
11
10
00
11
10
00
10
01
00
10
11
10
00
10
00
01
10
01
00
10
10
00
10
01
10
01
00
11
10
11
00
11
00
01
11
10
00
00
10
11
11
01
00
01
11
11
00
11
00
00
00
01
11
11
01
00
10
00
10
00
01
10
11
11
01
10
01
11
11
00
01
11
10
00
10
00
01
00
10
10
00
10
10
10
00
00
10
10
11
01
00
10
11
00
10
10
01
10
00
00
10
10
00
10
00
11
10
11
10
10
10
10
10
10
01
00
01
01
01
01
10
10
00
01
11
11
10
11
11
10
10
10
00
01
00
00
10
10
10
10
10
00
10
01
00
11
11
00
00
00
10
11
00
01
00
01
10
00
00
00
00
10
11
11
10
01
01
01
10
11
10
10
00
01
00
11
00
11
10
00
00
10
11
00
10
11
00
00
10
00
10
10
01
10
10
00
00
10
10
11
01
00
10
11
10
11
00
10
10
01
00
01
00
11
00
10
11
11
01
00
01
01
00
11
01
01
00
11
10
10
00
01
00
11
10
00
11
11
11
10
00
00
10
00
01
10
10
00
10
01
10
10
00
00
01
00
11
11
01
00
01
10
00
10
00
01
10
10
10
01
00
10
00
00
11
01
01
01
01
01
11
11
11
00
00
00
10
10
01
10
00
10
00
00
10
00
00
01
11
10
00
10
01
11
10
01
10
11
10
10
10
00
00
10
10
00
10
01
00
00
10
01
10
01
11
11
11
11
01
01
10
00
00
11
11
00
00
10
00
01
10
00
11
00
11
01
00
10
01
10
00
10
10
01
10
00
00
11
00
00
10
10
01
10
01
01
00
10
01
10
10
00
01
10
10
00
01
01
11
01
11
00
01
01
00
00
10
10
00
00
10
00
01
10
00
00
00
10
10
11
01
01
00
10
00
10
10
10
00
10
11
00
10
00
01
11
00
11
01
01
00
10
10
00
10
11
00
10
10
00
10
10
11
00
01
01
00
10
10
01
00
01
00
11
01
00
11
01
10
00
11
11
01
00
01
11
11
11
00
00
10
10
10
01
01
11
10
01
10
01
00
10
00
00
11
00
01
10
11
10
00
11
00
01
10
11
10
00
01
10
00
00
10
10
00
10
01
01
11
11
00
00
10
10
01
10
00
00
10
10
00
11
01
10
11
10
00
00
10
10
10
10
00
11
01
01
00
11
11
10
10
00
00
01
00
10
10
10
10
00
00
01
11
10
00
10
00
10
10
10
10
10
00
10
00
01
00
10
00
11
00
10
10
00
11
00
00
10
10
10
00
10
10
00
10
00
10
00
10
00
10
10
10
00
11
00
00
01
01
00
11
10
00
10
00
00
00
00
10
00
00
11
11
01
11
10
00
00
01
10
10
00
00
11
11
00
00
11
11
00
00
10
11
00
01
00
00
10
01
10
01
10
10
11
10
11
01
10
10
01
00
00
10
10
01
01
10
01
00
00
10
00
10
10
00
01
00
11
10
10
00
11
00
00
10
10
01
01
00
11
00
10
00
00
10
01
01
10
00
00
10
10
00
01
00
00
10
10
00
01
00
11
01
01
00
00
10
00
01
10
10
01
11
01
11
00
11
11
10
10
10
01
00
00
11
10
01
10
11
10
11
00
11
00
10
00
00
11
10
00
11
10
00
00
00
10
00
10
10
00
10
11
00
00
00
00
01
01
11
00
00
00
00
10
10
10
00
00
00
00
01
10
10
00
01
00
01
10
10
11
00
11
00
11
00
11
00
00
10
11
01
00
10
10
10
00
00
00
10
00
11
11
01
01
01
11
00
01
11
00
00
11
10
01
10
11
00
00
11
10
01
01
01
10
10
00
01
10
11
00
00
00
11
11
11
10
11
00
00
10
10
11
10
00
01
00
00
00
00
10
00
01
11
00
00
10
10
00
10
10
01
00
10
10
11
10
10
00
00
00
10
10
00
01
00
01
01
10
10
10
10
00
01
10
10
01
01
10
11
01
01
01
10
10
10
10
01
11
10
01
00
10
00
00
11
11
01
01
01
00
10
10
10
00
10
11
00
10
00
00
00
10
11
10
00
01
10
10
00
11
00
10
00
00
10
10
00
00
00
11
01
10
00
11
10
00
10
00
00
10
01
01
10
11
10
10
10
10
00
10
01
01
11
00
10
10
00
00
10
00
00
10
10
00
10
11
10
11
01
00
10
01
01
00
11
10
11
00
10
00
00
10
10
00
00
10
00
00
10
10
10
10
00
00
11
11
00
10
10
00
11
11
00
00
11
00
00
10
01
01
10
00
10
00
10
00
00
01
00
10
10
10
00
00
11
10
00
11
10
01
11
00
01
00
00
10
00
01
11
11
00
00
10
10
10
00
10
10
11
01
00
10
00
11
00
00
00
10
00
11
00
10
10
00
10
01
10
10
11
01
00
10
10
00
01
10
11
01
00
00
10
10
00
00
00
10
10
01
11
10
10
10
10
00
10
00
11
11
00
01
01
10
01
00
10
00
00
00
11
00
00
10
00
00
10
10
11
00
10
00
11
10
00
10
00
00
00
00
10
10
00
01
00
01
01
10
11
10
11
01
01
11
00
10
10
00
00
01
10
10
00
00
11
01
10
00
11
00
00
00
10
10
10
01
00
01
10
00
10
11
01
01
00
10
00
01
01
00
01
01
10
11
10
11
10
00
10
10
00
01
00
10
00
00
10
11
00
00
00
10
00
10
00
00
10
10
10
01
00
10
11
01
00
11
01
00
01
11
00
10
11
00
00
11
11
10
10
01
10
00
10
00
00
00
01
00
10
00
10
00
11
00
01
10
11
10
00
00
11
10
00
00
10
11
00
01
00
01
11
00
00
11
11
01
00
10
10
00
00
00
00
11
10
00
10
01
01
10
00
01
01
00
10
10
00
00
00
10
10
10
01
10
01
01
10
01
01
10
01
10
10
00
00
10
10
00
10
11
01
11
10
00
10
01
11
00
10
11
11
10
10
00
00
11
01
01
10
10
01
00
10
00
11
00
00
01
10
01
00
00
00
10
10
00
10
11
10
01
10
10
10
10
10
01
10
00
00
00
00
10
00
00
10
10
00
10
00
10
10
00
00
10
11
00
00
11
00
11
10
00
01
10
11
00
10
10
10
10
00
00
01
10
11
00
01
10
00
00
10
00
00
10
01
00
10
10
00
01
10
11
01
01
01
10
10
00
11
10
11
01
10
11
00
00
10
01
01
10
11
00
00
10
10
11
10
00
00
10
10
10
01
10
11
11
10
00
11
00
00
10
10
01
01
11
10
01
01
11
11
10
01
00
11
00
11
11
00
01
10
01
00
00
10
11
00
10
11
00
11
01
00
10
10
00
10
10
10
10
00
10
10
00
11
01
00
10
10
11
01
01
10
01
00
11
01
10
10
00
00
10
00
01
10
10
01
00
10
10
11
00
00
11
11
10
10
01
01
10
11
00
10
10
11
11
01
01
00
11
00
00
10
00
00
10
10
00
00
00
01
10
10
10
10
01
01
00
00
10
00
00
10
11
10
00
01
10
00
00
11
00
11
00
11
00
10
01
00
10
00
00
10
10
00
10
00
00
11
01
11
11
11
01
10
11
01
10
11
01
00
11
11
00
10
11
01
11
10
10
10
00
00
10
01
00
10
11
10
00
10
10
10
00
00
10
01
10
11
11
00
10
00
10
10
10
10
01
00
00
00
10
00
00
01
10
10
00
11
01
01
11
01
11
01
00
10
00
00
10
11
00
00
10
11
10
10
10
10
01
00
11
00
00
10
10
10
01
00
00
00
10
01
00
00
01
01
00
11
10
11
10
00
10
00
00
11
00
01
01
00
01
01
10
00
10
10
00
10
11
01
11
10
00
01
00
10
10
01
00
01
00
00
10
00
11
11
10
11
10
10
11
10
10
00
11
11
00
00
10
00
00
01
10
10
01
10
00
01
00
11
10
00
11
11
00
01
01
11
00
11
10
00
01
01
10
11
00
01
10
11
01
00
01
00
01
10
11
00
10
01
00
00
10
00
00
00
11
10
00
01
10
11
01
10
10
00
00
11
10
00
00
10
00
10
00
11
11
01
00
00
10
00
10
10
01
00
00
01
10
11
00
11
00
00
11
10
01
00
11
11
01
01
10
10
00
00
11
11
00
11
11
00
11
11
11
00
00
10
00
00
00
01
10
11
00
01
01
10
01
10
10
00
10
00
10
10
00
11
11
01
00
10
00
00
00
11
00
01
00
10
10
00
00
00
00
10
00
11
11
00
10
10
10
11
11
11
11
00
00
11
01
10
10
00
00
10
10
00
10
00
00
10
01
00
10
01
00
00
11
00
11
11
01
10
00
10
00
10
10
00
01
11
11
01
10
00
01
01
10
01
01
10
10
10
00
00
11
10
10
00
00
10
10
00
01
00
11
01
11
01
10
00
11
11
00
01
10
10
10
10
11
10
00
01
10
01
11
00
00
00
10
10
10
00
00
00
00
01
00
10
11
10
00
00
00
10
10
00
10
00
10
00
10
00
00
00
01
10
10
00
01
10
10
11
10
11
10
01
01
11
10
01
00
11
10
00
01
10
10
10
10
00
00
00
00
00
00
10
11
00
11
10
10
10
11
00
01
11
10
10
00
10
10
00
00
00
10
10
10
00
00
10
01
11
01
10
00
01
10
10
01
00
10
11
00
10
10
01
10
00
00
00
11
10
01
10
10
10
00
00
00
01
11
10
10
01
00
00
01
10
10
10
00
00
11
10
10
11
10
11
00
10
00
00
10
01
00
11
00
01
10
10
01
00
10
00
01
10
00
01
10
01
10
00
00
10
11
10
00
00
10
10
10
10
11
10
00
00
01
10
00
11
00
00
01
01
10
00
10
00
11
01
01
11
11
00
10
01
10
00
00
10
10
10
00
00
00
11
00
01
11
00
10
10
10
01
10
10
00
00
10
00
01
00
01
10
00
10
00
00
10
00
10
10
11
00
11
01
10
00
10
10
10
10
00
10
00
10
00
01
11
11
10
10
00
00
10
00
00
01
11
10
10
00
10
11
00
10
11
01
00
10
11
00
01
00
11
00
11
10
11
11
00
00
10
10
00
10
10
01
00
11
10
00
00
10
10
01
00
10
00
01
10
10
00
10
00
00
11
00
11
10
11
00
00
10
00
10
10
11
00
11
11
11
01
10
00
01
01
00
00
10
11
00
00
10
00
00
10
10
00
00
10
10
00
01
11
10
10
11
01
00
10
10
00
11
10
00
10
10
00
00
00
00
11
11
11
01
11
00
01
10
10
10
10
00
00
00
10
11
10
00
00
00
01
10
10
00
00
10
01
11
01
10
00
10
01
11
00
00
11
10
00
01
10
10
10
00
11
10
10
00
00
11
01
11
01
00
00
10
00
10
10
00
01
11
11
10
11
10
00
00
01
10
10
00
00
11
10
11
10
00
01
10
00
01
10
10
00
00
11
11
11
00
00
10
00
00
10
00
00
10
10
01
10
00
01
10
00
01
10
11
10
10
00
10
01
00
00
10
10
00
00
10
01
00
11
01
00
00
00
00
00
00
10
00
00
11
10
10
01
01
01
10
00
00
11
10
00
10
10
00
01
00
10
00
01
10
00
01
01
11
01
01
10
10
01
00
00
10
11
00
01
10
00
11
01
00
01
10
10
01
10
00
10
01
00
00
00
10
00
01
00
01
10
10
01
10
00
10
00
11
11
00
11
10
10
00
11
00
10
00
01
00
01
11
10
01
10
11
10
10
00
00
10
11
10
10
10
10
00
11
11
00
10
00
10
01
00
00
00
10
00
00
11
10
00
10
10
01
00
10
10
00
11
11
11
00
01
11
10
10
00
11
10
00
10
10
00
00
10
01
00
01
10
01
10
11
10
00
11
11
00
01
10
11
01
01
01
10
00
11
01
00
11
10
01
01
10
10
01
11
11
00
00
01
10
10
11
00
00
00
11
00
11
11
11
00
00
10
10
00
00
00
10
11
11
10
01
00
10
01
00
11
10
00
00
01
10
00
00
00
10
00
00
10
10
00
11
00
00
00
10
10
00
10
00
00
11
00
01
10
01
10
11
01
11
10
00
00
10
01
00
10
01
00
00
10
01
00
11
11
10
00
00
01
10
01
00
11
10
01
00
10
10
01
11
10
10
01
11
00
00
01
11
10
01
11
01
00
10
10
10
00
00
01
11
10
01
10
00
00
11
11
10
00
10
10
10
10
00
01
10
00
10
11
00
10
11
10
10
01
11
11
00
00
01
11
10
00
10
10
00
10
00
00
10
10
10
00
00
00
00
00
01
10
10
00
11
00
10
11
00
01
10
00
10
11
01
01
01
10
00
11
01
00
01
10
10
11
00
10
10
11
00
01
10
01
00
10
00
00
11
10
10
00
10
10
01
11
00
10
10
00
00
01
11
10
10
00
01
00
01
00
10
11
11
10
00
10
10
01
00
11
10
10
00
11
00
11
10
00
10
11
00
10
10
00
00
10
11
11
11
00
10
10
01
10
00
00
10
01
00
00
00
00
00
10
00
11
00
11
00
00
00
00
00
00
11
11
00
01
00
10
10
11
11
01
00
00
10
10
10
10
00
11
11
00
11
00
01
00
10
00
11
10
11
00
00
00
10
10
10
10
01
01
00
11
10
00
00
10
00
10
11
01
10
10
00
00
01
01
11
00
00
10
01
10
10
10
00
10
10
11
00
00
01
10
00
00
11
01
00
10
11
00
00
10
11
10
00
01
10
10
10
00
00
00
00
01
10
01
10
10
10
01
11
00
01
11
00
11
01
10
00
01
10
00
10
10
01
01
01
11
10
10
10
10
01
11
10
01
01
00
00
00
10
10
00
00
11
10
11
00
10
00
10
10
00
11
10
00
01
00
11
10
00
00
11
10
00
01
11
11
10
01
00
11
10
11
10
00
10
00
10
11
11
00
00
11
00
11
00
10
00
00
10
10
11
00
11
01
10
10
11
00
01
01
10
10
01
11
10
01
01
10
11
10
01
00
00
10
00
10
10
00
11
10
01
00
00
00
00
10
10
11
00
00
00
00
10
10
10
01
01
10
00
11
00
10
00
00
10
00
10
01
00
11
00
10
00
10
01
00
01
10
11
00
11
00
00
00
10
11
00
00
01
10
00
10
11
11
00
10
11
00
10
11
10
10
00
01
00
10
00
00
10
10
00
00
00
10
11
01
10
11
00
10
01
10
00
00
10
10
00
10
10
01
10
00
01
10
00
00
10
00
10
00
00
00
11
01
00
10
11
11
11
10
11
10
11
01
01
01
10
10
10
00
00
01
10
11
10
11
00
10
00
10
10
00
10
00
10
10
01
00
10
10
10
00
10
10
10
10
00
00
00
10
00
11
00
01
10
11
10
11
00
10
01
01
11
11
11
01
01
11
00
11
10
10
00
00
10
10
00
10
00
10
01
00
00
10
10
01
00
00
00
10
10
10
01
00
00
11
11
10
01
10
00
10
00
11
10
00
00
00
00
00
10
11
10
10
10
10
01
10
00
01
01
00
11
00
01
00
11
00
10
11
00
11
10
10
00
10
11
01
10
11
10
10
00
00
00
10
10
00
10
00
10
00
00
11
10
10
00
00
10
10
10
10
10
01
10
01
11
00
01
10
11
10
00
01
00
00
10
10
00
10
10
10
10
01
11
10
00
00
01
10
00
00
10
00
01
10
11
10
00
01
11
01
00
10
10
10
00
11
11
00
01
01
11
10
10
11
00
01
10
01
00
10
00
01
10
11
00
00
00
00
00
01
11
10
11
01
10
00
10
10
01
00
10
00
00
00
10
10
10
00
10
00
10
01
10
10
01
11
00
11
11
01
01
10
10
01
10
00
10
11
01
10
11
10
11
11
10
00
00
00
10
10
00
00
01
00
10
10
10
00
00
11
10
11
10
10
10
11
11
11
01
00
11
11
01
00
10
10
10
10
00
10
01
00
11
00
10
10
11
00
00
11
10
01
00
10
11
10
01
01
11
11
01
11
00
00
10
10
00
00
10
00
01
00
00
00
11
00
10
11
00
00
00
10
10
00
10
11
00
01
00
10
00
11
01
01
10
10
01
10
10
10
10
10
00
01
10
11
00
10
00
00
10
00
10
11
01
11
11
10
00
10
01
10
10
00
10
10
10
11
00
00
11
11
10
00
00
00
10
11
00
11
11
00
01
00
01
10
01
11
00
11
11
10
00
00
11
10
01
11
00
01
00
10
00
10
00
11
11
11
11
10
00
00
00
11
10
00
00
01
10
11
00
10
01
11
00
01
00
10
10
00
00
00
00
11
11
01
01
10
01
10
01
10
10
00
01
10
01
10
11
01
00
11
10
00
00
10
10
00
10
10
01
00
11
00
01
01
10
10
10
10
00
10
10
11
00
00
00
00
11
10
01
00
10
01
00
00
10
00
10
11
10
10
01
10
10
10
10
10
10
00
01
10
10
00
10
00
10
10
00
10
00
00
00
00
01
10
01
11
10
00
00
01
11
01
00
01
00
10
10
10
00
00
11
10
10
00
01
10
00
11
11
01
00
11
00
01
10
11
10
00
00
11
00
11
10
01
01
00
11
01
11
10
10
00
00
10
10
01
10
11
00
10
10
01
11
01
01
10
00
01
10
10
10
00
00
01
00
10
10
10
01
10
11
11
10
11
00
11
00
10
10
10
01
10
01
00
10
01
10
01
00
00
11
10
11
00
00
10
00
00
00
10
00
10
00
00
10
11
00
01
11
10
00
11
00
00
10
11
01
01
10
10
11
11
01
00
10
10
11
01
00
11
11
00
01
00
00
00
11
10
00
11
10
00
00
10
00
00
11
10
10
11
10
00
00
01
00
11
10
10
01
11
11
00
11
11
01
00
10
00
00
00
10
10
10
10
10
10
00
00
01
10
11
01
11
10
11
00
00
10
01
10
11
01
01
10
00
01
00
00
11
10
10
00
10
00
00
00
10
11
00
10
00
01
11
10
10
10
10
00
00
00
10
10
11
10
00
00
10
10
00
10
10
00
10
00
11
10
10
10
01
11
10
01
00
10
10
01
10
10
11
00
01
01
10
10
10
00
10
01
00
11
10
10
00
11
11
00
10
10
01
00
11
01
10
10
11
10
10
10
00
10
11
00
00
00
00
00
01
10
10
01
01
11
10
00
10
01
01
11
00
01
10
01
10
10
10
00
00
11
11
00
11
10
10
01
00
11
10
11
10
00
01
00
01
00
01
10
10
11
10
00
01
10
11
11
10
10
00
10
11
00
01
00
00
10
11
10
11
00
01
01
00
11
01
00
01
00
10
10
01
00
11
11
01
00
01
10
00
10
10
00
01
11
10
10
00
10
00
00
00
00
10
11
01
11
11
00
10
11
00
00
10
10
01
00
00
10
11
01
10
01
10
01
10
01
01
01
11
00
00
10
01
00
00
10
10
01
10
10
00
00
11
00
11
00
00
10
00
01
10
10
01
11
10
10
10
00
00
00
10
10
01
10
10
10
00
00
00
10
00
11
10
00
10
10
11
11
10
00
10
11
11
10
11
11
01
00
00
00
10
00
00
01
00
10
10
10
00
11
10
11
01
01
10
11
00
00
01
00
11
10
00
00
11
00
00
11
10
00
01
11
10
11
00
10
01
00
10
11
10
01
00
11
00
01
01
10
10
01
00
11
00
00
00
11
10
01
11
00
10
10
10
10
11
01
00
10
11
01
00
00
10
00
00
00
00
10
01
00
10
10
10
01
01
01
10
00
11
10
01
00
10
11
00
00
00
01
10
10
10
00
11
00
01
11
10
01
01
00
11
00
01
00
01
11
10
00
11
00
10
00
01
00
00
00
00
00
00
10
10
10
00
11
10
00
00
11
00
01
01
00
11
00
10
10
00
00
00
10
00
00
10
00
11
11
10
11
00
00
00
10
00
01
10
11
00
10
10
00
00
10
00
00
10
10
11
10
10
11
10
00
00
00
00
00
11
11
00
10
00
10
10
11
00
00
11
00
01
01
10
10
10
00
11
10
00
01
10
10
10
11
10
10
11
11
10
00
10
00
10
10
01
11
11
11
01
00
00
00
00
00
00
10
10
00
00
11
10
11
00
10
11
00
00
00
11
10
01
01
10
10
00
10
10
00
00
00
10
01
00
01
00
00
00
11
10
00
00
11
10
10
00
00
10
01
10
00
10
11
00
10
10
01
10
11
10
11
00
00
10
10
00
00
11
01
00
11
10
00
00
01
00
10
01
10
01
00
01
00
11
10
00
11
11
00
01
10
11
01
00
00
10
10
10
11
00
00
10
10
11
10
00
10
10
00
00
00
10
00
10
00
01
00
01
00
10
01
01
01
00
00
00
10
10
00
01
11
10
00
00
10
10
00
11
10
01
00
11
00
11
00
11
10
10
10
00
00
00
01
10
00
01
01
01
11
01
10
10
10
00
00
11
10
11
11
01
01
10
11
10
01
01
10
10
01
10
10
10
00
01
11
10
10
10
01
00
10
01
00
00
10
10
10
00
11
00
10
10
10
00
11
01
00
10
01
10
01
10
11
00
01
10
01
00
01
10
01
00
11
10
00
01
00
10
10
00
00
00
11
11
00
00
11
00
11
10
11
00
10
10
10
01
11
10
00
11
10
00
01
10
10
01
10
00
00
10
00
01
10
10
10
00
00
10
10
00
01
10
01
00
00
00
10
01
01
10
10
00
10
00
10
10
11
00
01
00
10
00
10
10
00
00
11
11
00
01
00
10
10
10
00
01
10
00
00
00
01
01
00
10
01
01
00
00
10
00
01
11
11
10
01
00
10
01
11
01
00
10
10
00
00
00
10
01
00
10
00
10
10
11
00
10
10
01
00
10
10
01
00
10
00
00
10
11
01
00
10
10
00
10
00
10
00
10
00
00
11
00
11
10
01
10
10
00
10
00
00
11
10
10
00
00
10
01
00
10
00
00
10
11
00
01
10
00
00
00
11
11
00
01
11
10
01
01
01
11
10
01
00
10
10
10
00
01
10
10
00
00
10
10
00
11
00
01
11
00
10
11
00
01
11
10
00
10
00
01
00
11
11
00
01
00
00
11
00
00
10
10
01
10
10
10
10
10
00
10
11
00
00
01
01
11
11
01
10
00
10
10
00
00
11
10
00
01
11
01
00
11
01
11
01
11
01
01
10
01
00
10
00
00
10
01
00
10
11
00
10
01
10
00
00
11
11
10
00
01
10
10
11
10
01
00
00
01
00
10
10
01
10
00
01
01
01
10
00
10
01
11
01
01
10
10
10
00
00
00
10
10
10
00
10
10
11
00
11
11
00
00
01
11
00
10
10
01
00
01
00
10
00
01
00
11
10
00
00
11
01
01
10
00
00
11
10
10
00
00
00
10
00
00
10
10
01
10
00
01
00
00
11
10
10
11
10
00
01
01
01
10
11
10
11
10
00
11
10
01
00
00
10
10
10
10
00
11
00
11
01
00
11
00
00
01
11
11
10
10
00
00
10
10
10
00
10
10
01
10
00
10
00
10
00
00
01
00
01
10
11
00
11
11
00
00
10
00
11
01
01
10
11
00
01
10
10
01
01
10
10
00
00
01
11
01
00
00
10
10
11
01
10
10
01
11
11
10
00
10
11
10
10
00
00
00
00
01
00
01
11
10
00
11
10
10
10
00
01
11
00
01
00
10
01
00
10
10
10
01
01
11
10
00
10
01
11
00
11
10
11
10
01
01
11
11
10
00
00
01
00
10
00
11
11
01
00
11
10
00
00
01
10
10
10
01
00
11
01
01
01
10
10
11
11
01
00
01
10
10
00
10
10
00
00
10
10
00
01
00
01
10
10
00
10
11
01
00
01
10
01
00
11
11
00
11
10
11
00
11
11
00
01
10
01
11
00
00
00
00
10
01
10
10
01
00
00
01
00
10
10
11
11
00
00
00
11
10
10
11
00
01
10
10
00
01
00
10
10
00
00
00
01
10
10
00
10
10
11
10
00
00
10
10
11
00
11
01
11
00
11
00
00
10
10
00
10
00
00
10
11
00
00
10
10
01
10
11
10
11
10
10
10
10
01
01
10
10
01
01
10
00
00
10
00
00
10
00
00
10
00
10
10
00
01
10
10
00
00
10
01
10
00
00
10
10
10
01
11
00
00
01
00
10
11
10
01
01
10
01
00
10
01
00
10
10
10
00
11
10
10
10
11
10
00
00
01
01
00
10
10
00
10
10
01
10
10
01
10
11
01
00
11
10
00
11
00
01
11
10
00
00
10
00
11
11
01
00
00
00
00
00
11
01
00
00
10
00
10
11
11
11
10
00
00
11
10
00
01
10
11
11
10
01
01
11
11
11
01
00
10
00
11
10
10
10
00
01
00
10
00
00
11
10
10
00
01
11
11
00
10
10
00
11
10
00
00
01
10
10
00
01
10
01
10
11
10
10
00
00
01
10
00
10
00
10
10
10
01
11
11
00
00
10
00
10
11
10
11
11
00
11
10
01
11
10
00
10
01
01
11
11
11
10
01
11
01
10
11
00
00
00
01
11
01
00
10
01
01
11
11
11
01
00
10
10
00
10
10
00
11
10
00
00
00
10
10
01
10
00
00
00
11
00
01
10
11
11
00
11
00
11
10
11
00
11
01
00
10
01
00
10
00
11
10
01
10
11
10
10
11
01
10
10
10
00
11
00
01
11
10
10
00
10
11
01
01
11
10
11
10
00
00
11
10
00
00
00
11
00
01
10
01
10
11
00
00
01
01
00
10
00
01
00
11
10
10
01
01
00
01
11
10
10
00
10
11
11
01
01
11
11
01
00
00
00
11
10
00
11
10
11
10
00
00
10
00
11
01
00
10
11
10
11
00
00
10
00
00
00
01
10
11
10
01
00
10
00
01
10
10
00
00
01
01
00
10
11
00
00
10
10
00
00
10
00
00
00
10
11
01
11
10
00
10
10
10
00
00
11
11
01
10
01
10
11
00
00
00
00
10
10
00
10
10
00
10
01
00
00
10
00
10
01
10
10
00
01
11
10
00
00
10
10
00
10
10
00
00
11
10
10
01
10
00
11
10
01
11
11
00
10
10
00
00
10
01
01
00
10
11
10
10
00
00
10
10
01
10
00
00
11
10
10
00
11
00
10
00
10
00
00
00
00
10
00
10
11
11
00
10
01
10
11
00
10
00
00
10
10
10
00
00
11
10
00
10
11
00
01
11
10
00
00
10
01
10
11
10
00
00
00
10
11
10
00
00
01
11
10
10
00
01
11
10
00
10
10
00
11
10
01
10
01
11
10
10
00
00
11
01
00
11
10
10
01
11
01
00
10
01
00
01
10
11
00
00
11
00
11
00
10
10
00
10
10
10
01
10
11
10
00
10
10
01
00
10
10
00
00
00
00
01
00
10
00
10
00
00
10
11
00
00
10
10
01
11
00
00
10
00
11
11
01
00
00
01
00
10
11
01
01
00
11
11
01
11
00
11
01
00
10
10
10
10
01
00
00
01
11
00
00
00
10
00
01
00
10
10
01
10
00
10
10
10
01
01
11
00
00
01
11
10
01
01
11
00
10
00
11
01
00
00
10
10
01
00
10
10
01
10
10
11
00
10
10
01
10
00
00
11
10
11
00
01
01
10
10
00
00
10
11
01
00
10
01
01
00
01
10
11
00
00
11
00
01
10
00
00
01
00
11
10
10
00
10
10
01
11
10
00
01
00
00
00
00
11
00
00
10
00
00
11
00
10
10
00
11
10
00
11
11
10
00
00
00
00
11
10
10
10
01
00
00
10
11
11
11
11
00
10
00
00
00
10
10
10
00
10
10
00
01
11
01
00
00
11
00
00
10
10
00
10
00
10
10
10
00
01
00
10
00
00
00
00
00
10
00
10
11
11
01
00
11
00
11
10
01
00
10
10
01
00
10
10
00
00
00
11
01
01
10
10
00
11
01
01
10
11
11
11
00
00
00
10
00
00
10
10
01
10
10
01
00
00
10
11
10
01
00
10
10
01
10
10
11
10
10
01
10
01
00
10
10
10
10
00
01
10
11
10
00
10
00
10
00
01
11
10
01
10
10
10
01
01
00
10
11
00
00
00
10
10
00
10
10
10
00
00
00
00
11
01
11
01
01
01
11
10
01
10
10
10
11
00
10
11
00
11
10
01
00
00
11
10
00
01
00
10
10
00
00
00
11
10
10
00
10
11
10
10
01
01
10
01
10
11
00
11
00
10
01
00
11
01
11
10
00
01
10
00
00
11
11
00
11
00
10
01
00
10
00
01
11
11
00
01
11
00
11
10
00
11
10
10
01
10
10
00
11
00
10
00
10
00
10
11
00
00
11
00
00
11
10
00
11
10
01
10
00
01
10
10
10
10
01
10
11
00
01
10
10
00
11
11
00
11
01
10
11
10
10
10
00
10
00
11
00
01
10
10
00
10
10
10
11
01
10
00
11
00
00
11
10
01
11
11
10
00
00
11
01
00
10
11
00
00
00
01
00
00
00
10
00
00
01
11
00
00
10
00
10
11
11
00
10
10
00
10
00
10
10
01
10
00
01
00
11
10
00
00
11
01
11
10
00
10
10
01
01
00
11
00
11
10
11
00
00
00
00
11
10
00
00
00
10
00
11
10
00
00
01
01
10
10
00
00
10
00
00
11
11
00
00
00
10
10
00
00
10
10
00
00
01
11
00
00
10
10
01
01
11
10
10
10
00
10
00
00
11
10
10
00
10
10
10
10
00
00
11
10
10
10
01
01
00
10
10
01
00
10
00
11
10
01
11
00
00
10
11
10
10
00
00
00
10
00
01
11
10
11
11
00
00
10
11
01
00
10
00
10
10
01
11
00
00
00
00
00
01
10
00
00
11
00
00
11
11
00
00
00
10
11
10
00
01
01
01
11
11
10
01
10
01
00
10
10
10
01
01
10
10
00
10
10
01
00
01
10
10
10
00
10
10
10
00
01
00
00
00
10
10
11
11
01
00
11
10
10
00
00
00
10
10
10
01
00
00
00
00
00
11
10
10
00
10
01
10
01
01
01
10
01
11
10
00
00
00
01
10
10
01
01
11
10
00
11
01
00
10
01
00
01
10
10
01
10
00
01
00
00
01
11
10
10
10
10
10
00
10
01
00
10
10
01
00
11
10
11
00
00
00
10
11
00
10
00
00
10
11
00
10
10
00
10
00
11
10
10
00
11
01
00
00
10
00
10
11
00
10
00
01
00
01
10
00
00
11
10
00
10
10
01
01
10
10
01
00
10
10
00
10
00
00
11
10
11
00
11
10
10
00
00
00
00
11
11
00
10
01
10
00
10
10
10
00
00
11
10
00
11
10
00
01
10
00
00
11
11
01
00
10
00
11
00
01
10
10
10
00
10
10
11
00
01
10
11
10
10
11
00
10
10
10
01
00
10
01
00
10
10
11
00
01
00
01
00
00
10
11
01
00
10
11
00
00
00
10
00
11
10
10
00
00
10
00
10
00
10
00
01
00
01
10
11
01
11
10
00
00
00
00
11
00
00
00
10
11
00
10
11
10
00
11
11
00
00
11
11
00
10
10
11
10
00
00
01
00
01
10
00
00
11
01
10
10
00
10
00
10
11
01
10
11
00
11
11
00
10
01
00
00
00
11
10
00
00
11
11
01
10
00
10
11
01
10
01
01
10
10
00
10
10
10
00
00
01
10
01
10
01
00
00
10
01
11
10
11
00
10
10
00
01
11
10
10
10
10
01
00
00
10
00
00
00
10
00
00
00
11
00
10
10
10
00
01
10
00
10
10
00
11
10
00
00
00
01
00
00
11
00
01
01
01
10
11
01
10
00
00
10
10
10
00
11
00
00
00
00
01
00
10
01
01
00
00
01
11
00
00
10
10
10
00
01
01
10
10
00
10
00
01
01
10
10
00
00
00
11
10
11
00
01
11
00
01
10
10
10
11
01
10
01
01
01
10
10
01
01
11
10
10
10
01
00
00
00
10
00
11
10
00
10
11
10
10
10
01
10
10
10
10
11
01
00
10
00
01
10
11
00
11
00
10
11
00
10
10
11
01
01
00
00
01
00
00
10
00
10
01
00
00
00
10
00
10
00
00
10
11
00
10
00
00
00
00
10
00
10
10
10
00
00
01
01
10
11
00
00
10
00
11
10
00
10
00
01
11
00
00
00
01
00
00
01
10
01
10
01
10
01
11
10
10
01
10
10
01
00
01
10
10
00
11
10
01
11
10
00
00
10
11
00
00
01
01
00
00
10
11
01
00
00
01
10
10
00
10
10
00
01
10
11
01
00
11
10
10
10
00
00
10
01
10
11
01
10
01
10
01
11
10
00
01
11
11
10
00
11
10
01
11
00
01
11
01
00
11
10
01
11
10
01
10
11
10
00
00
11
11
10
10
00
00
00
01
10
10
10
11
11
01
10
11
10
00
01
00
01
10
10
00
10
10
10
00
00
00
11
10
00
00
01
00
11
10
10
00
00
01
11
10
00
10
10
00
11
10
01
10
00
01
01
11
00
11
10
10
11
10
00
10
11
00
11
00
11
10
00
00
11
11
00
10
10
00
01
10
01
01
11
10
10
01
00
11
10
10
00
01
10
10
10
00
01
01
00
01
11
11
00
11
10
00
10
01
01
11
01
11
00
11
01
00
10
10
00
00
10
10
00
11
10
00
11
10
00
11
10
01
00
01
11
00
00
00
10
10
10
00
11
10
10
10
10
00
00
11
10
11
00
00
10
00
10
00
11
11
10
01
10
00
00
00
00
10
10
00
10
10
01
11
10
10
00
00
01
01
10
00
00
10
11
11
00
00
10
10
10
01
10
10
11
10
10
10
01
10
00
01
00
10
01
10
10
00
11
10
11
00
00
10
10
00
01
01
10
10
01
01
10
01
11
11
11
01
10
00
01
00
01
11
01
10
10
01
00
01
10
11
10
11
00
10
00
00
00
10
00
01
11
10
11
00
10
00
10
10
10
11
00
10
10
00
00
00
10
00
10
10
00
10
00
11
00
01
10
11
10
00
01
00
11
10
10
01
10
10
01
11
11
00
00
10
11
00
10
11
10
10
00
01
00
01
10
10
00
00
10
01
10
10
01
10
10
10
10
00
01
00
10
00
00
00
10
10
10
01
01
01
00
10
01
00
11
10
00
00
10
00
01
00
11
10
01
01
00
10
01
00
10
01
00
11
10
01
01
10
00
10
11
11
00
00
11
00
10
00
10
10
00
10
01
00
10
10
01
00
10
01
10
10
10
11
10
10
00
11
10
00
00
01
00
00
10
10
10
00
00
10
01
00
01
00
10
00
11
10
10
00
00
10
01
10
00
01
00
10
00
10
11
10
10
00
11
01
10
11
00
10
00
01
10
10
00
00
00
10
10
01
10
11
10
10
10
00
00
00
01
10
00
10
01
01
00
00
00
01
00
01
11
11
00
10
01
00
10
00
01
11
10
01
10
10
00
10
11
00
00
11
00
10
00
10
00
00
00
10
10
00
11
00
01
00
10
10
00
10
10
01
11
00
10
00
01
10
00
00
10
10
01
00
00
01
10
10
01
01
10
01
11
00
01
00
00
10
10
00
00
00
11
00
11
10
01
10
00
00
01
00
10
00
00
10
00
10
00
10
00
10
10
10
11
10
01
11
11
00
00
01
10
10
10
00
00
00
00
00
10
10
00
01
01
10
00
11
00
00
10
11
01
00
00
11
11
10
00
10
10
00
10
00
10
11
01
10
00
11
00
00
00
00
01
00
01
10
11
10
00
00
10
00
00
01
10
10
10
01
00
10
00
00
01
10
10
10
10
01
00
10
00
00
10
11
01
00
00
11
01
01
01
10
11
01
01
00
00
10
11
10
00
11
10
00
00
00
00
00
11
10
01
01
00
10
10
00
00
01
00
10
00
10
11
11
10
01
10
11
10
00
00
10
00
00
01
00
10
10
00
00
10
10
11
01
00
00
00
10
00
11
00
11
01
10
01
11
10
01
10
10
01
01
00
00
10
10
00
11
11
00
01
01
00
10
00
11
10
00
00
10
10
01
10
10
10
11
10
10
10
01
00
00
10
00
11
10
01
11
00
00
10
10
00
01
10
11
00
00
10
10
01
00
10
10
11
11
10
00
10
10
11
00
00
11
10
01
11
00
10
11
11
11
10
00
00
01
00
10
10
11
00
00
00
01
01
10
01
10
10
11
00
00
10
10
00
01
11
01
00
00
01
10
10
10
10
00
10
00
00
10
11
10
01
01
00
10
10
00
10
00
11
11
01
00
11
10
00
10
10
01
00
10
10
10
00
10
00
11
11
01
10
01
10
00
10
00
10
11
10
00
01
10
10
11
01
10
01
00
10
11
00
01
11
00
00
01
00
10
00
10
00
01
00
01
01
01
11
00
11
01
01
00
01
11
10
11
00
10
10
01
00
10
00
01
00
10
10
00
11
00
00
10
00
01
00
11
10
10
01
10
00
00
00
10
11
01
10
11
00
00
11
10
00
10
10
00
11
10
01
00
11
00
00
01
00
10
10
00
01
10
10
11
01
11
00
10
00
00
10
00
11
11
10
11
01
00
01
10
10
11
00
00
01
01
01
00
10
11
11
11
00
01
11
10
01
10
10
00
00
00
10
10
00
10
00
10
00
01
10
01
00
00
10
01
11
01
10
11
00
10
10
01
00
10
10
00
00
01
10
00
00
11
11
10
11
10
10
00
01
10
00
10
11
10
01
00
00
01
10
01
00
10
00
10
00
10
11
01
01
00
00
00
10
11
10
00
10
10
00
10
00
10
10
11
10
00
01
00
10
10
01
11
00
11
11
00
10
00
01
10
00
10
10
10
10
11
00
00
11
00
01
10
00
10
01
00
10
10
10
00
01
00
01
01
00
01
10
01
00
01
11
11
10
01
00
10
00
01
10
11
00
00
10
00
11
11
01
00
00
01
10
10
10
00
01
00
01
10
10
10
10
10
11
10
01
00
10
00
10
00
00
10
10
10
10
00
01
00
00
11
11
10
10
00
00
10
00
10
00
11
10
01
11
11
10
01
01
10
10
00
01
00
00
11
10
00
00
00
11
00
00
00
00
10
10
00
10
00
00
00
10
10
01
10
00
00
11
10
01
10
00
10
11
00
10
10
10
10
00
10
01
00
00
00
10
00
00
00
10
10
10
00
10
11
10
10
00
01
00
10
10
11
00
10
01
11
11
00
01
11
10
00
10
00
01
11
11
00
10
01
00
11
00
11
10
11
11
11
00
00
00
00
01
10
10
01
00
10
01
11
10
10
10
10
01
01
00
01
10
00
10
00
01
10
10
10
11
00
10
01
10
10
10
11
01
00
01
00
11
11
11
11
11
10
00
00
10
00
00
10
10
00
01
11
00
01
01
11
00
10
11
10
11
00
00
11
00
11
00
00
10
01
00
11
00
00
00
10
00
00
00
10
10
10
01
00
10
01
11
10
11
10
10
11
11
00
00
10
10
10
00
00
10
00
00
00
10
10
00
11
01
10
11
00
10
00
01
10
00
00
11
11
10
00
00
00
10
00
10
10
00
00
11
01
01
00
10
10
10
00
01
10
10
10
00
10
00
00
00
01
10
01
00
11
11
01
11
10
10
10
00
00
11
10
00
00
11
10
11
10
10
11
10
10
00
10
10
01
00
01
00
00
10
01
10
00
01
10
00
11
00
00
11
10
00
01
11
01
00
10
10
10
11
01
00
11
01
00
00
10
10
01
01
11
01
00
00
00
10
10
10
00
00
11
10
10
01
00
00
00
11
01
00
00
10
01
11
00
00
10
10
01
10
11
00
10
11
00
01
00
00
10
10
00
10
00
00
11
10
01
01
10
00
10
00
01
01
11
10
00
01
01
10
11
10
01
01
00
01
10
11
01
00
10
11
00
01
10
11
00
00
10
10
11
00
10
11
00
00
01
10
10
00
00
11
01
10
10
10
01
00
11
01
10
11
01
10
00
01
11
10
01
01
10
10
00
00
10
10
00
10
01
10
11
10
11
10
00
00
01
00
10
11
00
00
11
10
01
11
10
00
00
00
10
00
00
10
01
10
10
00
01
00
11
00
01
11
10
10
00
10
10
00
10
11
00
00
00
10
10
00
00
11
10
11
01
00
00
00
01
10
01
00
10
01
00
00
10
10
11
10
10
10
10
00
10
10
00
10
00
00
00
11
00
10
00
00
10
10
00
00
10
10
00
10
01
00
10
00
10
11
00
11
00
01
10
00
00
01
00
10
10
10
01
00
01
00
11
11
00
10
11
01
10
00
01
11
00
01
11
00
01
00
00
10
01
00
00
00
10
01
01
10
11
10
10
01
11
11
01
01
00
00
00
11
10
01
10
10
00
11
00
00
11
01
10
01
00
10
10
11
00
01
00
00
10
00
10
10
00
00
00
00
00
10
10
10
10
01
00
11
00
00
00
10
01
01
01
10
11
00
00
11
11
00
00
11
10
00
00
10
00
11
10
00
10
10
00
00
00
01
00
10
11
11
00
00
01
11
00
11
10
01
00
10
11
11
01
00
10
10
00
10
01
01
10
10
10
00
00
00
00
00
10
11
10
00
10
10
10
10
00
00
10
01
10
01
10
00
10
01
01
11
00
01
11
00
11
10
01
00
11
10
10
00
10
10
01
00
11
01
01
01
10
00
00
10
10
10
00
00
10
10
10
10
01
10
00
01
10
10
00
00
00
10
10
00
00
01
00
11
00
00
00
00
10
11
10
10
01
10
10
10
01
00
11
10
00
00
11
11
01
01
10
00
01
01
10
00
00
11
00
00
01
11
11
00
00
01
11
00
10
10
00
00
10
10
00
11
10
00
10
10
00
01
01
11
11
11
00
00
01
00
01
01
10
10
01
00
10
10
00
11
10
11
00
11
00
00
00
11
11
10
10
11
00
00
11
00
10
10
01
10
00
11
10
00
11
00
00
01
00
01
00
11
01
00
10
01
01
10
11
00
00
01
11
10
10
10
00
00
10
00
10
10
11
00
10
01
01
10
11
00
10
10
00
00
10
10
00
10
10
11
01
00
10
11
10
00
10
01
00
10
10
11
11
00
00
10
00
00
10
00
10
01
11
10
11
01
00
10
00
00
11
10
00
00
01
00
10
00
00
01
10
10
00
10
00
01
11
10
01
10
01
10
01
00
10
10
00
00
00
00
10
11
00
10
10
00
01
10
01
11
11
00
11
00
11
00
00
00
10
00
01
10
11
01
00
10
01
10
00
10
10
00
00
10
10
11
01
00
00
11
01
10
11
10
00
00
00
10
11
01
01
00
10
11
00
11
00
00
11
11
00
11
01
10
01
00
00
00
10
11
11
01
00
01
00
11
00
01
11
11
00
01
11
10
00
01
10
11
01
00
10
11
00
00
10
10
10
01
11
11
01
11
11
10
10
00
11
01
10
11
00
00
11
10
00
10
11
00
10
00
00
00
00
10
10
00
11
00
00
00
10
10
01
11
10
01
01
10
00
01
10
01
00
11
00
00
00
00
10
10
10
10
00
00
00
00
10
10
00
10
01
00
10
10
11
10
00
11
10
10
10
11
00
11
01
00
01
10
11
01
00
11
11
11
11
00
00
10
10
01
00
10
00
00
11
10
01
00
01
10
10
01
01
10
10
00
10
10
00
11
00
00
10
00
10
00
01
11
01
11
00
11
10
11
11
11
00
01
10
11
11
01
10
00
00
10
10
01
00
11
00
00
10
01
00
11
10
00
01
00
00
10
10
00
10
10
10
00
01
00
00
10
00
00
10
10
10
11
00
00
11
00
11
00
01
10
11
01
00
00
10
10
00
10
10
10
01
00
00
01
01
00
10
01
00
11
01
10
10
00
10
10
00
01
10
00
01
10
11
01
00
10
00
01
10
10
10
00
10
01
01
10
10
00
10
01
10
00
10
00
01
10
10
01
10
10
10
00
00
11
10
10
00
01
00
00
00
10
11
00
01
00
01
10
11
10
10
01
00
11
00
11
10
00
11
01
00
10
00
00
10
11
10
01
00
10
01
10
10
00
11
11
00
10
11
01
10
10
10
10
10
10
01
00
00
10
11
00
10
00
10
00
00
10
10
11
00
10
11
10
01
00
01
00
00
01
00
10
10
01
11
00
10
00
11
10
11
00
10
11
10
00
01
11
10
11
00
01
00
00
01
11
11
11
10
01
10
10
01
10
10
00
00
00
10
00
01
11
00
11
00
01
10
01
00
01
00
11
11
00
10
10
11
11
00
00
10
00
00
10
10
00
00
00
00
11
01
00
10
11
00
11
00
00
11
00
11
11
00
11
00
10
00
10
00
00
01
11
00
10
10
00
00
11
11
11
00
00
11
00
11
00
10
00
01
10
01
10
00
10
10
10
01
01
10
11
00
10
00
00
10
10
11
01
00
10
11
00
10
00
10
10
00
00
00
00
11
10
00
10
00
10
11
10
00
11
11
10
00
11
11
11
10
01
11
01
00
10
00
00
10
01
10
10
10
00
00
10
00
11
10
01
00
10
11
11
00
00
10
00
00
10
10
10
00
00
00
00
00
00
10
10
01
10
00
10
11
10
11
00
00
00
00
10
00
00
10
00
00
10
10
10
00
01
00
11
11
11
10
01
10
11
10
01
10
10
10
01
10
10
01
00
00
00
10
10
01
10
01
00
11
01
10
00
00
00
11
11
01
01
11
10
00
10
11
00
00
11
01
01
00
11
01
10
00
10
10
01
11
10
01
11
01
11
00
00
01
01
11
10
01
00
00
00
10
11
11
01
00
10
01
00
10
10
11
00
10
10
11
01
10
11
01
10
01
10
00
00
00
10
01
00
10
10
10
00
10
00
01
01
10
00
10
10
01
01
11
01
00
11
00
00
01
10
10
00
10
11
11
01
10
01
10
10
00
00
10
10
10
01
11
01
10
00
01
00
01
10
11
00
10
00
00
10
11
00
00
00
00
00
00
11
11
11
10
00
11
00
11
10
01
00
11
11
01
01
10
10
10
00
11
01
01
00
00
11
11
11
10
10
00
00
01
00
00
10
01
00
11
10
00
00
00
10
10
00
00
01
10
11
00
10
11
10
10
11
01
01
00
01
10
00
10
00
00
10
10
01
01
00
10
01
11
00
10
01
11
10
00
11
10
11
00
11
00
00
11
01
00
00
00
10
11
01
10
01
10
10
10
01
00
11
10
01
10
10
11
00
00
00
10
10
00
01
00
11
00
10
10
10
10
10
00
01
00
00
10
10
01
01
00
10
11
11
00
01
00
00
11
10
00
11
00
00
11
10
10
01
11
00
00
11
01
01
00
11
01
10
00
00
10
10
10
00
01
00
10
10
10
10
00
00
10
00
00
10
10
00
10
00
10
00
11
11
00
00
11
00
00
00
10
10
01
00
10
11
00
10
10
10
01
01
00
00
00
11
01
01
10
10
00
00
01
01
00
10
10
01
10
00
01
00
11
10
01
10
00
01
00
01
10
10
00
11
10
00
11
11
01
10
10
01
11
00
11
10
01
00
10
10
10
10
01
10
10
00
01
01
01
11
01
11
10
10
10
01
00
00
10
11
10
00
11
00
00
10
10
00
00
11
11
10
00
10
01
00
11
10
00
10
10
01
00
10
00
11
10
11
00
01
11
10
00
10
11
01
00
10
10
10
00
10
01
00
00
11
11
10
10
10
10
00
00
10
01
00
10
01
10
11
01
10
01
10
01
00
00
10
11
00
01
10
11
00
11
00
10
00
00
10
10
10
00
10
11
00
10
00
10
00
10
00
00
00
01
11
00
00
00
00
00
10
11
10
01
11
00
10
11
00
01
10
10
01
10
01
10
00
00
10
10
01
00
10
00
10
01
10
11
01
00
11
00
10
10
11
00
00
01
10
10
10
10
00
11
10
01
01
10
00
10
11
10
10
01
11
00
00
00
11
10
00
00
00
01
00
11
10
10
01
11
11
01
01
10
10
00
11
10
00
10
01
00
00
10
10
00
10
01
10
10
01
00
01
00
10
10
11
10
01
00
00
00
10
10
10
01
00
10
10
10
00
01
11
11
11
10
00
10
01
01
00
10
01
00
01
00
11
10
11
10
00
01
00
10
10
00
10
00
01
10
11
01
11
10
01
10
00
00
10
00
00
11
00
00
00
01
11
00
10
11
10
00
10
00
01
10
10
10
11
11
00
11
01
10
01
00
11
00
11
01
01
01
10
10
00
10
10
11
00
01
00
10
11
10
00
10
01
00
01
10
00
10
10
00
00
10
00
01
11
11
10
10
10
10
00
00
10
01
10
00
00
01
00
11
01
10
01
11
10
11
10
00
10
00
10
00
10
10
01
00
00
00
10
01
10
01
11
10
01
10
10
10
11
01
01
10
10
00
11
00
01
11
10
00
01
10
10
00
00
00
00
01
00
11
10
10
10
10
00
01
00
10
10
00
00
11
00
00
01
01
00
01
10
00
01
01
11
11
00
00
10
10
11
00
00
10
10
11
01
00
00
00
10
00
00
00
01
10
11
10
11
00
11
10
00
10
10
00
10
10
01
00
10
01
01
10
00
11
01
11
11
10
00
00
01
10
11
00
00
01
10
11
10
10
10
00
11
10
10
10
10
11
00
00
00
00
10
10
10
00
01
10
11
10
00
00
00
00
11
10
10
11
00
10
00
00
11
10
01
00
10
10
00
01
01
10
11
10
10
00
11
10
00
00
10
01
00
11
00
11
00
11
10
01
10
10
00
01
10
10
00
00
10
10
10
10
00
10
10
11
01
11
10
11
01
10
10
00
01
10
11
00
01
10
00
11
00
11
10
01
01
01
11
00
10
10
00
10
10
00
10
00
10
10
10
00
11
00
10
10
00
01
11
01
00
10
11
10
10
00
10
11
00
01
10
00
00
00
10
10
11
11
01
00
10
10
00
10
10
01
10
10
10
00
00
10
11
00
10
10
11
00
11
00
01
01
00
10
10
00
01
11
10
00
01
01
00
11
00
10
10
10
00
00
10
10
10
00
01
11
00
01
10
00
01
10
10
01
01
10
01
10
10
10
01
00
00
10
10
01
01
00
00
10
11
00
10
11
00
10
10
10
00
10
00
01
10
01
11
00
01
00
00
01
01
11
10
01
01
10
11
10
11
10
10
00
01
10
10
10
00
00
00
00
11
10
01
00
11
00
10
10
00
00
10
10
01
10
10
10
00
00
10
10
10
00
11
00
01
00
00
10
01
00
10
11
01
10
00
11
01
11
10
10
00
01
01
00
00
01
10
01
00
10
00
10
00
11
11
00
10
00
10
10
01
01
00
00
10
10
00
10
00
10
00
11
11
00
00
00
00
01
10
11
00
00
10
10
01
00
01
10
11
11
11
10
10
01
00
00
10
10
01
10
01
10
10
00
11
01
10
10
00
01
01
11
00
00
11
11
11
00
00
10
01
01
10
10
01
01
11
11
11
00
10
00
10
01
01
00
10
10
00
00
00
10
00
10
01
01
10
10
11
11
10
00
00
00
11
10
10
10
00
00
01
00
01
00
10
00
11
00
01
00
01
01
01
10
00
00
10
10
01
11
00
10
10
00
00
00
01
00
10
01
10
11
10
10
11
01
10
11
10
10
10
10
00
11
10
00
11
00
10
01
00
00
00
00
01
00
10
10
00
10
10
00
00
11
11
11
11
00
10
11
10
01
10
10
00
11
10
10
10
01
00
01
11
10
00
00
11
11
11
01
00
00
11
11
00
00
10
10
11
00
00
10
11
10
10
00
00
00
10
11
10
00
11
11
00
11
00
01
11
01
00
10
00
01
10
11
10
01
11
11
00
00
10
11
00
00
00
10
01
00
10
10
00
01
10
00
00
10
00
10
10
00
11
10
11
01
01
00
00
00
00
10
10
01
01
11
01
00
11
10
01
10
10
00
10
00
00
00
10
10
10
00
10
01
01
10
11
01
00
10
11
10
10
00
01
00
00
10
01
00
11
10
01
10
01
00
10
10
00
00
10
11
00
01
10
11
10
10
00
00
00
10
01
00
10
10
00
01
10
10
00
10
10
11
00
00
00
00
10
01
11
11
01
00
00
00
00
00
00
10
10
10
10
00
01
00
10
01
00
00
00
00
10
11
00
01
00
10
00
10
00
10
10
00
10
10
00
10
10
11
00
11
10
10
10
11
10
11
10
01
00
00
00
10
10
11
10
00
00
00
10
01
10
11
11
11
01
01
11
10
01
00
10
10
00
00
11
01
00
10
10
01
00
00
00
10
11
11
01
11
00
01
10
11
00
10
10
01
01
00
00
10
00
01
11
01
10
11
00
11
10
01
00
00
11
10
11
00
01
10
00
10
00
10
00
00
11
10
11
01
11
01
11
01
00
01
00
11
10
01
00
10
10
01
01
10
00
10
10
00
01
00
00
00
10
01
00
01
10
00
10
10
00
10
00
00
01
11
11
10
00
10
01
10
10
10
00
01
11
11
00
00
10
11
11
00
00
11
10
10
01
10
10
10
00
01
00
11
00
10
11
00
10
01
10
10
10
00
10
10
01
00
00
01
01
10
00
10
10
01
00
10
10
01
01
00
10
10
01
10
00
00
00
10
10
00
11
10
11
00
10
01
01
01
01
00
10
11
01
10
11
00
10
01
10
10
00
11
00
00
00
00
10
01
10
10
10
00
10
10
11
01
11
00
10
00
01
00
10
00
01
01
11
11
00
01
01
10
01
01
10
10
10
01
10
10
00
00
10
01
01
11
00
10
01
00
00
00
00
10
11
01
10
00
01
11
00
01
10
00
00
10
00
00
10
10
10
10
01
01
11
01
11
00
10
11
10
11
00
01
11
10
10
11
10
01
00
01
10
10
00
11
10
00
01
00
11
10
11
00
00
10
11
10
00
00
10
10
10
00
00
00
00
10
11
00
01
10
10
01
00
10
00
11
11
10
10
11
00
01
10
01
10
11
00
11
11
00
10
00
10
00
00
10
00
10
00
00
11
01
11
10
01
10
11
01
10
10
01
01
11
10
01
11
10
10
01
00
10
11
00
00
10
10
00
10
10
00
00
10
00
10
11
10
10
00
01
00
11
00
00
01
01
10
10
00
00
10
11
10
00
10
01
10
11
00
01
10
11
10
10
10
10
10
01
00
10
10
00
00
11
11
00
00
00
10
00
00
11
01
10
11
00
00
10
10
01
10
11
00
00
11
00
00
11
00
10
00
00
00
00
11
00
10
10
11
11
00
10
01
10
00
11
00
11
10
00
11
01
00
00
00
10
10
10
10
00
11
00
00
00
00
10
10
10
00
00
00
10
10
10
00
00
01
10
11
00
00
00
10
10
01
10
10
00
10
10
11
10
01
00
10
10
00
00
10
00
01
10
00
10
10
00
11
11
10
00
10
11
10
00
01
00
01
10
01
00
10
00
11
11
00
11
11
01
11
11
00
00
10
00
01
11
11
11
10
10
00
10
10
00
00
00
00
11
11
00
01
01
01
11
10
01
11
10
10
00
00
00
01
10
11
00
11
11
00
11
10
10
10
10
01
00
10
10
11
00
10
00
01
10
11
01
00
00
01
10
10
11
11
01
00
00
11
10
00
10
00
00
00
00
11
00
00
00
10
01
00
00
11
11
11
10
11
11
00
00
11
01
01
10
00
10
00
10
11
01
00
00
10
11
00
01
01
10
01
00
01
00
10
10
00
11
11
01
00
00
00
00
10
11
00
01
00
10
11
10
10
11
00
00
00
10
01
10
00
10
10
01
10
10
10
01
00
10
00
10
10
00
00
10
01
10
00
00
10
01
10
00
01
00
10
10
00
01
00
10
01
10
00
00
10
11
01
11
10
10
01
11
00
01
01
10
10
00
10
10
11
01
11
00
00
10
11
10
00
11
10
00
10
01
10
00
00
01
11
01
10
11
01
01
10
10
10
00
00
10
00
00
10
01
00
11
10
00
01
01
11
00
01
10
00
00
11
00
10
00
00
10
10
10
00
11
10
10
10
10
00
10
11
01
10
01
10
00
01
01
00
11
00
01
10
01
00
10
11
01
11
10
11
01
11
01
00
01
11
01
00
01
10
11
10
01
01
00
10
11
01
11
11
00
01
10
10
01
00
01
10
10
00
11
00
01
10
01
10
10
10
10
01
11
10
00
10
10
00
10
01
01
11
10
00
10
11
00
10
10
00
00
00
00
00
11
00
01
10
00
00
11
00
01
10
10
10
00
01
10
00
00
01
10
11
10
01
11
11
11
10
10
00
01
01
10
10
00
11
11
11
11
01
01
10
10
10
00
00
10
11
00
10
11
10
10
11
11
01
00
00
10
01
10
00
01
10
00
10
11
00
11
11
00
11
10
10
11
00
01
10
00
00
10
00
00
10
10
01
00
10
10
10
10
10
10
00
10
11
01
10
10
01
10
10
01
01
00
01
01
10
11
11
01
01
00
10
10
00
00
10
00
00
10
10
11
10
11
10
10
10
01
10
10
10
01
11
11
10
01
11
01
10
10
01
00
10
10
00
01
10
01
01
10
10
00
11
10
00
00
10
10
10
11
00
00
00
11
11
10
01
00
00
10
11
00
10
11
10
00
00
10
00
00
01
11
00
00
11
11
10
00
10
00
01
10
01
00
11
00
10
00
00
10
10
10
01
00
01
00
10
01
00
10
10
00
01
10
00
10
10
01
10
00
00
11
00
10
00
00
10
01
00
10
00
00
11
10
00
10
10
01
10
01
10
01
01
01
00
01
11
10
00
00
11
11
10
00
00
01
00
01
11
01
00
11
11
10
10
01
01
11
00
11
00
00
10
01
00
10
10
01
11
10
01
00
10
00
00
10
11
01
00
00
00
01
00
10
00
10
10
10
10
01
00
10
10
11
00
00
10
00
00
10
01
10
10
10
10
01
11
00
01
10
10
00
01
10
00
01
01
10
11
00
10
00
01
10
00
10
10
11
11
10
00
01
11
11
00
00
00
10
00
00
10
00
00
00
00
00
11
11
01
10
01
10
00
10
10
00
11
11
00
10
01
00
11
10
00
11
11
00
10
10
01
11
10
00
00
01
11
10
10
10
10
10
01
00
00
01
11
10
00
10
10
10
00
01
10
01
01
10
00
11
11
00
00
10
11
00
00
00
11
10
11
11
00
00
01
11
10
00
00
10
10
00
00
11
10
10
11
11
10
00
11
00
00
10
10
10
10
10
00
01
11
10
10
00
00
00
10
00
11
11
10
00
11
00
10
01
00
01
00
10
10
01
00
10
10
11
00
10
00
00
10
10
11
10
11
00
11
10
11
00
00
11
10
01
10
10
00
01
10
01
01
11
00
10
00
10
10
00
10
00
00
11
01
11
10
01
00
10
01
01
01
00
00
10
11
10
00
00
10
00
00
10
00
11
00
01
10
00
00
00
11
11
10
00
10
01
00
10
00
00
11
00
10
01
00
11
11
10
00
10
00
10
11
01
01
11
10
11
00
01
00
11
10
00
00
11
11
00
11
00
00
10
00
11
10
00
01
01
01
10
10
11
00
00
10
00
00
11
10
01
11
00
01
10
01
00
00
00
11
11
01
00
10
01
01
00
11
00
10
10
11
00
10
00
00
10
00
00
01
10
01
11
00
11
10
10
10
10
00
01
01
11
01
00
10
11
01
11
00
10
01
10
10
00
00
10
00
00
11
01
10
01
10
11
00
01
00
11
00
01
11
10
00
00
00
10
00
00
10
00
10
11
00
01
10
00
01
00
00
10
10
11
10
00
01
00
11
00
01
10
00
10
11
11
01
00
01
10
10
01
00
11
10
11
10
10
00
00
10
00
00
10
10
00
11
10
10
01
11
10
00
10
00
11
01
00
10
00
10
01
00
00
11
10
01
10
00
01
00
00
10
00
10
00
01
10
00
00
00
00
10
01
10
01
11
10
10
01
10
01
11
00
00
11
10
11
00
00
00
10
00
00
00
10
10
00
10
00
01
10
10
10
10
00
10
00
00
10
00
01
01
00
11
10
01
00
10
10
10
00
00
11
00
00
00
00
00
10
11
10
01
11
00
01
10
10
10
00
01
10
00
00
00
01
10
10
00
00
10
10
00
00
00
10
11
10
10
10
10
00
00
00
11
10
01
11
00
01
01
10
11
11
00
10
10
01
00
10
10
00
00
10
10
11
10
10
10
11
00
10
10
00
00
01
00
01
10
00
00
10
11
00
11
10
10
10
00
01
10
10
00
11
00
10
11
11
00
10
10
00
10
00
01
10
11
00
11
11
00
00
11
10
00
00
10
11
00
00
10
00
10
00
10
10
11
11
11
10
00
00
11
10
11
00
00
01
11
11
00
10
00
10
11
00
00
11
10
11
01
10
10
00
01
00
11
01
00
00
10
01
00
11
11
11
00
10
00
11
11
01
11
00
01
10
11
10
00
10
10
00
00
01
11
01
00
00
11
10
00
00
01
01
01
10
10
10
01
11
11
10
10
11
00
10
10
10
00
01
00
01
10
10
10
10
10
10
10
00
00
10
01
10
11
00
10
00
11
00
11
01
00
11
00
00
10
10
00
01
00
10
10
00
11
00
01
00
01
10
00
11
00
00
10
11
00
11
10
11
00
01
11
01
01
01
00
11
11
00
01
11
10
00
01
10
10
00
00
11
00
00
10
00
00
10
10
10
01
10
01
11
00
01
00
01
10
00
01
10
01
00
01
00
10
00
00
01
10
11
00
10
10
10
00
00
10
10
01
00
00
10
10
00
01
01
00
01
11
11
00
10
10
10
01
01
10
00
00
00
10
10
01
01
01
11
10
10
11
00
10
11
00
00
11
10
01
10
00
10
10
10
10
11
00
00
10
01
10
10
01
00
10
10
10
10
10
01
01
00
10
10
10
10
00
10
00
00
01
00
10
01
10
01
10
00
11
01
01
10
00
00
10
11
01
00
10
00
00
10
10
00
11
00
01
00
11
00
10
00
00
01
10
11
00
00
10
10
00
00
10
10
01
00
00
01
00
00
10
10
01
00
01
00
00
01
10
10
10
00
00
10
00
11
00
10
00
10
00
11
11
01
00
00
10
10
01
00
01
11
10
01
01
11
11
00
11
00
00
10
11
00
00
00
11
10
11
10
00
00
00
10
10
01
11
01
00
01
10
11
00
00
00
11
11
00
00
11
01
10
00
00
10
10
10
10
00
00
11
00
11
00
01
11
11
10
10
01
11
00
01
00
10
00
10
00
00
10
11
10
00
00
01
10
10
00
11
10
00
00
10
00
00
11
00
01
10
10
00
00
01
10
00
01
00
10
00
00
00
00
11
10
11
00
11
10
10
00
00
11
00
11
11
10
00
10
11
01
10
01
10
10
10
00
00
00
10
10
01
11
01
00
00
11
00
10
10
01
00
11
00
00
10
11
10
10
10
11
10
00
00
01
01
10
10
01
00
11
10
10
00
01
10
00
01
10
01
01
10
10
00
10
00
11
10
01
00
00
00
10
10
10
11
00
11
00
00
10
11
10
01
00
10
10
11
11
11
10
00
00
00
10
00
01
10
10
01
10
00
10
01
01
10
10
01
10
11
01
01
11
10
00
01
01
10
00
00
10
10
00
00
11
10
10
01
00
11
10
10
00
11
00
00
10
11
11
01
00
10
00
10
10
10
10
01
00
00
00
10
11
00
10
10
10
10
10
01
01
00
00
01
01
00
10
10
10
00
00
01
11
10
00
01
00
10
01
00
10
10
00
01
10
11
10
00
10
11
10
00
10
00
00
11
11
11
00
10
10
00
10
10
10
01
01
01
00
10
10
11
00
00
10
11
10
10
01
10
01
00
00
11
00
10
01
01
11
00
10
00
00
00
11
10
10
10
11
01
00
00
11
11
11
10
00
01
00
01
00
10
10
01
10
01
00
10
00
00
00
00
00
11
10
10
10
00
11
00
00
00
00
00
01
11
01
10
10
00
00
00
01
10
10
00
01
10
00
11
00
11
01
11
11
10
00
00
00
00
01
10
10
11
11
11
11
00
10
11
10
00
01
10
10
00
01
10
00
11
00
10
00
01
00
10
00
00
01
10
00
00
10
11
01
11
01
10
01
11
10
00
01
11
10
00
00
11
11
00
00
01
01
10
10
10
00
00
01
00
11
10
10
01
00
11
11
10
01
01
00
10
00
10
10
10
00
10
10
00
10
00
00
00
10
00
01
10
00
00
10
00
10
10
11
11
10
11
01
10
10
00
10
01
11
11
00
10
10
10
00
10
11
01
00
11
11
10
10
00
00
00
11
10
11
11
01
00
00
10
11
10
00
11
10
10
00
01
01
00
10
10
01
11
00
00
10
10
10
10
00
10
11
01
01
01
11
00
11
00
01
00
10
11
00
11
10
10
10
00
00
01
00
10
01
10
10
01
10
01
10
10
00
01
01
01
10
00
10
00
00
10
00
00
10
10
10
01
10
11
00
11
11
11
10
01
00
00
10
10
11
11
00
01
10
00
10
10
01
11
10
00
01
00
10
11
00
10
10
11
00
10
11
00
10
11
00
00
00
00
11
00
00
00
00
10
00
10
00
00
00
01
10
00
01
00
00
10
01
00
01
11
10
10
00
10
00
10
10
00
01
00
10
10
00
01
01
01
00
10
00
11
11
10
00
00
00
01
00
11
10
11
00
00
11
00
01
10
00
11
10
01
10
01
00
00
11
00
10
10
00
01
00
00
10
10
10
00
01
01
10
11
10
10
01
01
00
11
10
01
01
11
01
10
11
01
00
10
10
01
00
10
10
10
10
01
00
10
00
01
10
11
00
00
00
10
10
10
01
10
10
01
01
00
00
10
10
00
00
00
10
00
01
11
10
10
00
00
11
10
01
00
10
10
10
01
01
00
11
00
00
11
00
00
00
10
10
00
10
10
00
10
00
10
01
01
01
11
11
10
10
01
00
01
10
10
00
00
01
11
00
01
10
11
10
01
00
11
10
11
00
00
10
10
00
00
00
11
11
00
00
10
11
10
10
00
00
01
10
10
01
11
01
00
10
01
00
00
01
10
10
00
10
10
11
10
00
00
10
00
10
10
00
00
10
11
00
10
10
00
00
11
11
10
00
00
00
00
00
10
10
10
01
10
10
10
11
10
01
10
01
11
10
10
10
00
01
11
01
10
10
10
00
00
11
11
00
10
10
10
10
10
00
00
10
00
10
10
00
00
01
00
10
10
00
01
10
11
00
11
10
10
11
11
10
01
10
10
11
00
01
10
10
00
00
00
00
00
11
10
11
00
11
01
01
11
10
10
10
10
01
01
11
11
01
11
01
10
10
10
10
00
00
11
11
11
01
01
01
01
11
00
00
11
11
00
10
10
10
00
11
01
00
00
10
00
10
00
01
00
01
10
00
10
10
01
10
10
10
11
01
10
01
10
11
01
01
10
01
00
10
00
00
00
10
00
00
00
10
10
10
10
11
10
10
10
00
00
10
00
01
10
11
01
10
10
10
00
01
11
10
10
01
01
01
10
10
00
00
00
10
10
10
00
00
10
00
00
01
00
00
01
10
10
00
10
10
00
01
01
10
01
00
11
10
10
01
10
10
01
11
11
11
11
00
00
01
11
10
10
00
01
10
00
00
00
10
10
00
10
10
01
01
10
10
00
10
00
00
11
11
00
01
00
11
00
00
01
10
11
00
10
10
11
01
01
10
01
00
10
10
10
00
00
10
10
00
00
10
00
00
10
10
10
10
01
00
01
00
10
00
01
10
10
00
10
01
01
10
01
10
11
00
00
10
11
10
10
00
00
10
00
10
10
10
10
10
10
11
00
00
01
01
10
10
00
00
10
00
10
11
01
01
11
10
01
10
10
10
01
00
00
11
01
10
10
10
10
10
01
11
11
00
11
01
00
10
00
00
00
10
11
10
10
00
00
00
11
10
10
10
01
01
10
10
00
10
11
10
00
11
10
01
10
11
10
01
00
10
00
10
10
01
10
00
10
11
10
01
00
11
00
00
10
11
10
00
00
10
00
10
10
00
00
00
10
00
11
01
10
00
10
11
10
00
11
11
10
00
11
01
01
10
10
11
11
10
00
00
10
10
00
10
00
11
10
10
11
01
10
10
10
00
10
00
00
11
00
11
10
01
00
00
11
01
11
10
01
01
10
01
11
11
10
00
00
10
10
00
00
10
01
00
01
10
11
01
00
10
00
10
11
00
00
00
00
01
11
01
01
01
10
00
10
10
10
00
01
11
10
00
00
00
11
10
10
10
11
10
10
00
11
00
01
00
10
11
00
00
01
10
10
01
11
10
10
00
00
00
00
10
11
00
00
11
00
00
10
11
01
01
11
11
11
10
00
01
00
00
01
10
10
10
10
00
10
10
11
10
10
00
10
01
10
10
00
10
10
10
00
00
01
01
11
00
10
00
00
10
11
11
10
11
00
01
01
01
11
00
10
01
01
00
00
11
00
11
10
01
00
10
10
01
10
10
10
01
00
00
00
00
00
00
10
10
10
00
11
10
00
11
11
00
11
11
10
01
10
01
00
01
01
01
00
10
11
00
10
01
10
10
11
00
00
10
00
01
10
10
00
00
00
00
01
11
11
00
00
10
01
10
00
10
11
01
00
00
11
11
10
11
00
10
00
00
01
00
10
01
10
00
10
00
00
11
00
00
10
10
00
10
11
01
10
10
10
00
00
10
11
10
11
10
10
01
00
00
00
10
10
01
01
11
01
11
01
11
00
10
00
00
10
10
00
00
01
10
10
10
01
00
00
11
10
10
10
10
11
00
00
00
00
11
01
10
00
10
10
00
10
11
11
10
11
00
00
11
10
11
00
11
10
00
11
00
00
11
01
11
10
01
01
10
10
01
10
10
00
00
11
10
00
01
00
01
10
00
00
01
00
11
00
10
10
10
11
10
11
00
10
10
11
11
01
01
10
00
00
11
10
11
10
01
01
10
11
01
00
01
01
11
10
00
10
00
00
11
10
01
00
01
00
11
11
11
01
00
11
01
00
00
00
11
10
10
10
10
00
00
10
10
11
10
11
00
01
10
00
11
00
10
01
00
01
11
01
10
00
10
00
10
00
00
10
00
00
11
00
10
00
01
11
10
10
00
01
10
10
10
00
10
01
00
10
11
00
10
10
01
01
11
10
01
01
01
00
10
11
00
00
00
01
10
00
00
10
00
10
10
10
11
10
00
10
00
10
01
01
01
11
00
11
01
11
01
01
10
10
00
11
01
11
11
01
00
11
11
10
00
01
11
11
01
01
11
10
00
10
00
01
01
11
11
00
01
01
00
11
10
10
00
00
11
11
00
01
10
10
00
01
01
00
00
11
11
10
00
00
10
01
00
11
00
01
10
00
00
00
00
00
00
10
10
10
11
00
01
10
10
00
00
00
10
00
00
00
10
01
10
01
00
00
00
00
00
01
01
10
10
00
00
10
00
10
01
00
10
00
00
10
11
10
11
10
10
10
00
00
00
00
10
10
11
11
00
10
10
01
10
10
10
00
01
00
11
11
10
00
10
00
01
00
00
11
00
10
00
10
10
00
01
00
10
10
01
10
11
10
10
00
00
01
00
00
11
01
10
00
00
01
01
10
10
11
10
01
00
00
00
01
01
10
00
11
11
01
10
10
10
01
01
00
00
00
00
00
00
10
10
11
01
00
11
11
11
00
01
01
10
10
00
10
10
01
00
11
00
00
11
10
00
00
00
11
10
01
10
01
11
00
01
11
10
00
01
10
00
10
10
10
01
10
11
10
10
00
10
00
00
10
00
10
00
11
10
11
10
10
00
00
10
10
10
11
00
00
00
00
10
00
00
01
10
11
10
11
10
10
00
00
10
10
10
10
00
00
01
10
10
11
00
01
11
00
00
10
10
00
01
00
11
10
10
01
10
10
00
00
11
10
11
00
10
10
10
10
11
01
01
01
00
10
10
00
10
10
00
00
01
00
00
00
11
00
00
01
10
00
11
10
00
01
10
10
01
10
10
01
11
10
00
00
10
10
00
00
00
10
10
10
00
10
10
10
00
10
00
11
00
00
11
11
10
00
11
00
11
10
11
10
00
00
10
01
10
01
00
10
10
00
11
10
11
00
00
00
11
10
10
10
00
00
10
10
01
11
00
10
00
10
00
00
10
10
00
01
10
01
10
00
01
10
10
00
00
11
01
10
11
00
01
10
00
10
10
01
00
10
10
11
00
01
10
00
00
00
00
10
11
00
11
11
10
11
00
01
11
01
01
11
10
00
11
10
10
11
00
00
11
10
00
00
01
00
00
00
10
10
00
11
11
10
00
01
11
10
01
00
10
10
11
00
11
00
10
10
10
10
00
00
01
10
10
00
11
10
00
00
00
10
00
01
00
01
00
00
00
10
00
00
11
10
01
10
00
00
00
10
10
00
00
00
11
01
00
00
10
01
10
10
01
10
00
00
00
01
11
00
00
11
10
01
10
01
10
00
00
10
10
01
01
11
10
10
10
01
01
10
00
01
11
10
01
10
10
10
10
00
00
00
00
10
00
10
10
01
01
01
00
10
01
01
00
10
11
00
00
01
01
10
01
00
10
10
10
00
10
10
00
10
00
01
00
10
10
10
00
01
01
11
11
10
10
01
10
11
10
00
00
00
10
11
01
10
00
10
01
00
11
10
00
11
10
01
00
00
11
00
00
00
00
11
10
10
00
00
11
01
11
10
10
00
00
00
00
11
10
00
00
10
01
10
10
00
10
10
00
01
00
00
10
10
10
10
01
01
00
11
01
10
00
10
10
00
10
11
10
11
10
01
00
00
00
00
10
10
00
00
10
11
01
11
10
10
00
10
00
00
11
10
01
01
01
01
00
01
10
10
00
10
11
00
00
10
10
10
10
01
01
10
11
00
11
10
10
10
10
11
01
10
10
00
11
11
01
00
00
10
10
10
10
00
00
00
10
11
11
00
11
00
11
10
00
00
11
10
00
00
10
10
00
00
10
00
00
10
11
01
00
00
11
00
11
00
01
00
00
11
11
10
00
00
10
11
00
01
00
00
00
00
00
10
10
01
01
00
11
10
10
00
00
10
10
00
00
10
00
00
10
10
01
00
11
01
10
10
10
00
00
00
10
10
10
11
10
11
00
10
00
11
10
01
11
10
10
00
01
11
00
11
11
00
00
01
01
00
11
11
11
00
00
10
10
10
00
00
11
00
00
01
00
10
10
10
01
10
00
00
10
11
10
01
11
01
00
01
00
11
10
00
01
10
00
11
00
01
11
11
10
10
00
00
10
10
00
11
00
10
10
10
00
10
00
00
01
00
00
01
10
00
10
00
00
10
00
00
01
01
01
10
11
11
11
01
00
10
11
00
01
10
00
00
10
10
00
01
11
10
01
10
10
10
01
01
00
00
10
10
11
10
00
11
01
10
10
01
10
10
01
10
11
10
00
00
00
10
10
11
01
11
11
01
10
00
11
10
11
01
00
10
10
10
00
10
00
11
01
01
11
10
01
10
10
01
00
00
10
00
00
10
10
01
00
10
10
10
11
00
11
10
00
00
00
01
11
10
00
00
01
10
00
10
10
11
10
11
00
10
00
10
10
00
00
11
00
01
10
10
10
11
00
00
00
11
01
11
11
00
01
00
10
10
10
01
00
10
10
00
01
00
11
00
00
01
00
00
00
01
11
00
00
10
11
00
01
10
11
10
00
10
11
11
00
11
10
01
00
00
11
10
00
01
10
00
10
01
01
01
10
10
01
00
00
00
11
10
11
10
00
01
10
10
10
10
01
01
10
10
00
01
01
00
01
00
10
11
01
11
00
10
10
00
00
11
00
00
01
11
11
00
10
10
11
01
00
00
11
01
01
11
01
10
00
01
00
10
10
10
00
10
10
10
00
01
10
11
10
11
11
10
01
10
00
01
10
11
10
11
00
10
11
00
11
11
11
01
11
10
11
11
11
01
00
10
10
00
00
10
00
01
10
10
00
10
00
00
00
10
10
00
10
11
00
10
11
00
10
10
00
00
00
10
11
00
01
10
00
00
01
10
11
11
01
10
10
11
10
00
00
00
10
10
10
10
11
00
10
00
01
11
00
10
00
00
10
00
11
11
00
10
10
00
00
10
00
00
01
11
00
10
10
10
11
11
00
00
00
00
10
00
01
11
01
00
00
10
00
10
10
10
00
00
10
01
00
00
11
11
01
11
11
00
01
11
00
11
10
01
01
11
01
10
10
10
00
00
10
10
01
10
01
10
01
11
10
10
10
10
01
11
10
10
10
00
00
01
00
11
00
01
10
11
00
00
10
10
01
00
00
10
00
11
10
11
00
00
10
10
01
00
11
11
10
00
10
01
10
00
00
00
10
00
00
10
10
00
00
10
11
01
10
10
00
10
10
10
00
00
00
10
01
10
01
11
10
00
11
00
10
10
01
00
01
00
11
10
10
10
00
10
10
00
01
10
00
01
11
10
10
10
00
10
00
10
10
10
00
01
00
00
01
10
11
10
11
10
10
11
00
11
11
10
00
01
00
10
00
00
11
11
10
01
11
00
00
00
10
10
00
00
00
10
11
10
10
00
01
10
00
00
10
11
10
00
10
10
01
00
01
00
10
10
10
10
11
11
00
00
00
11
00
10
10
00
11
10
00
00
10
11
00
00
01
10
10
00
00
01
10
00
11
11
00
10
10
10
10
00
10
11
00
00
01
00
10
11
10
00
11
10
00
10
00
00
00
10
10
10
01
00
01
01
00
01
10
00
00
00
01
10
00
00
11
11
00
10
10
10
11
11
00
10
10
00
00
11
00
11
10
00
11
10
00
10
00
01
00
00
00
10
10
00
00
11
10
11
00
00
10
00
00
10
00
11
10
11
00
10
00
00
10
10
01
01
10
10
11
01
01
01
10
10
10
01
00
11
00
10
10
10
10
10
10
11
10
01
10
10
00
01
11
00
00
11
00
11
11
00
10
11
00
10
01
00
11
00
10
11
00
11
10
01
00
10
00
00
10
10
01
00
01
11
10
00
10
00
00
11
10
11
01
00
10
01
01
00
00
11
10
11
10
01
00
00
11
00
10
10
11
10
10
10
10
10
00
00
01
00
11
00
10
01
00
11
11
00
01
10
00
01
10
01
00
01
10
11
10
10
11
11
00
00
01
11
10
10
11
11
01
11
01
01
10
00
00
10
10
01
00
01
01
00
00
00
10
00
01
10
10
10
10
00
10
10
00
11
00
11
11
01
01
10
01
10
01
00
00
11
11
00
11
10
11
11
11
10
01
00
10
00
00
00
00
00
10
10
00
00
10
11
11
10
11
10
00
00
11
01
11
10
00
11
11
00
10
00
00
01
10
10
01
10
11
10
00
10
10
11
00
00
11
00
00
11
00
10
10
00
10
00
10
00
00
10
00
10
11
11
00
00
00
01
10
00
11
10
01
10
11
00
11
00
00
10
00
00
10
01
00
00
10
01
10
01
00
00
11
10
10
00
01
10
11
10
10
01
00
10
00
00
11
01
00
00
00
10
01
10
11
10
11
01
10
00
00
10
00
10
10
10
10
00
01
10
00
00
00
00
00
00
00
00
10
10
01
00
10
10
01
01
01
10
10
00
10
10
01
00
10
10
10
11
10
11
00
10
10
10
10
01
10
10
01
00
10
10
00
00
11
10
00
10
00
01
00
10
10
10
10
00
01
10
10
01
00
10
10
00
10
01
00
10
00
00
10
11
01
00
11
10
10
00
10
11
11
00
00
10
10
01
11
00
01
01
11
00
11
10
00
10
10
00
00
01
10
10
01
11
11
01
01
10
11
10
00
10
10
01
00
01
11
00
00
10
11
10
00
01
10
00
00
11
01
00
10
01
00
10
10
10
10
11
11
11
00
10
01
00
10
10
10
00
01
10
00
00
10
01
01
10
10
10
01
00
10
00
00
11
11
10
10
10
00
00
01
00
10
00
10
10
10
11
11
00
00
11
01
10
11
11
11
00
10
00
10
10
01
11
10
11
00
11
11
11
01
10
01
01
00
00
00
10
10
00
01
10
10
10
00
10
11
10
10
11
10
01
00
11
10
01
00
01
00
10
00
01
00
01
00
10
11
00
10
01
01
11
10
00
10
00
00
10
00
11
00
00
10
11
00
00
11
10
01
11
00
01
10
00
10
00
00
00
00
10
11
01
01
10
10
10
01
00
11
10
10
01
00
11
01
11
10
10
00
00
00
10
11
01
01
11
01
00
00
10
10
00
00
10
01
00
00
01
00
11
10
00
00
11
11
10
00
10
10
10
11
01
00
11
10
00
00
00
11
11
00
11
00
11
00
01
00
00
10
01
01
10
10
10
00
00
10
10
00
00
00
10
10
11
11
11
00
00
00
00
10
10
01
00
10
10
11
11
10
11
00
01
10
11
00
00
10
01
00
11
00
11
11
00
10
00
00
11
10
00
00
01
10
11
11
00
10
01
01
00
10
10
10
01
10
10
01
10
10
10
00
01
10
10
10
01
11
00
00
10
11
01
00
11
11
00
11
00
01
10
01
00
11
11
00
10
10
10
00
00
10
11
11
10
11
00
10
00
01
00
10
10
01
10
10
10
10
01
00
11
00
10
10
00
00
01
00
10
10
01
00
10
11
10
10
11
11
00
00
10
00
00
10
10
10
11
10
01
00
01
00
00
10
10
10
00
00
10
10
01
00
00
00
00
10
00
00
11
10
00
01
01
10
00
10
11
10
01
01
10
01
10
10
01
11
10
11
11
00
11
10
00
10
10
00
10
11
01
00
10
00
10
00
11
11
01
10
00
11
01
00
00
01
01
00
01
10
11
00
11
00
10
00
00
10
11
01
00
10
01
00
01
00
11
11
10
10
00
10
00
10
10
10
00
00
10
00
11
10
11
01
00
00
01
00
10
10
00
10
10
01
10
10
00
00
10
10
10
00
01
00
11
11
11
00
00
00
01
10
10
00
01
10
10
01
01
11
11
10
10
10
00
10
00
00
10
11
01
00
00
11
10
00
10
00
00
10
10
00
01
10
10
01
10
00
00
00
10
10
00
10
01
00
00
11
11
01
00
00
10
11
00
10
00
01
00
10
10
11
10
11
01
10
00
01
10
01
00
10
00
10
11
00
10
10
00
00
10
10
00
11
10
00
10
00
10
10
01
10
10
11
00
10
00
10
00
11
00
00
01
00
01
01
10
00
00
01
10
10
00
10
00
11
10
01
00
00
00
10
00
00
10
10
10
01
00
10
11
01
10
10
00
01
00
11
00
00
11
01
00
10
00
01
00
10
00
11
11
11
10
00
01
10
01
01
00
10
10
00
10
00
00
10
10
11
01
10
10
10
00
01
10
01
01
10
10
00
00
11
10
10
11
00
00
10
00
00
10
10
01
01
10
01
01
11
11
00
11
00
00
00
10
11
01
01
10
00
10
10
10
00
01
10
00
10
01
10
01
00
11
11
00
10
10
10
10
00
00
00
00
10
10
01
00
10
00
10
00
00
01
10
11
10
00
01
00
10
10
10
00
10
10
10
00
10
00
10
00
10
10
00
10
00
01
10
11
00
11
00
00
00
00
00
01
11
11
01
10
10
10
10
01
00
11
00
10
00
01
10
10
11
00
11
11
01
01
00
00
11
01
00
01
10
11
10
01
00
11
10
01
01
11
11
00
11
11
11
00
11
10
00
11
10
00
01
00
11
10
00
00
01
10
00
10
11
10
00
01
00
00
10
00
00
11
00
00
11
00
10
01
11
00
10
11
11
11
01
10
01
10
10
01
01
11
11
01
11
11
00
00
11
10
00
00
11
01
00
11
00
01
01
10
11
01
01
11
11
00
00
10
11
00
10
10
00
11
10
10
00
01
10
10
00
11
01
01
11
00
10
10
00
10
00
11
10
00
11
01
00
10
11
11
10
10
10
00
00
10
00
10
10
00
01
10
00
00
00
01
11
10
00
11
10
00
01
10
10
11
10
00
11
00
10
10
01
11
10
10
00
01
00
01
01
11
10
00
10
01
00
00
11
00
11
11
10
01
01
10
10
00
00
10
00
00
11
00
11
00
11
00
10
00
00
11
10
11
00
11
01
11
10
00
00
00
11
11
00
00
10
10
00
00
01
11
11
11
10
11
10
00
01
11
11
00
10
00
00
00
11
10
01
00
11
00
01
10
00
00
10
11
10
00
00
10
10
00
11
00
10
10
11
11
00
10
00
00
10
00
10
11
00
00
00
00
10
11
11
00
10
00
10
11
01
00
10
00
00
11
10
00
00
00
01
10
10
10
10
11
10
00
00
10
00
00
00
10
11
10
01
11
00
00
11
00
00
10
10
00
01
00
01
10
10
00
10
00
11
10
01
11
00
10
00
10
10
00
00
00
10
10
10
11
10
01
01
11
10
00
01
10
10
00
10
10
10
00
00
00
10
00
00
10
01
11
10
10
10
01
00
11
00
01
11
10
00
10
10
01
00
01
00
00
00
00
01
11
10
01
10
10
01
00
00
10
10
00
10
10
11
00
10
00
10
00
01
10
10
01
01
11
10
10
10
11
01
00
10
11
10
01
10
10
10
11
00
10
10
01
00
11
11
00
00
10
00
11
10
01
11
01
00
10
11
11
00
00
10
11
10
01
10
01
00
00
01
01
10
10
10
10
10
01
00
00
10
10
10
00
00
01
11
01
00
10
00
10
10
10
01
01
10
11
00
11
00
11
00
01
00
11
11
01
11
10
10
00
00
00
10
11
01
10
10
10
00
10
10
10
00
11
01
01
10
00
00
00
10
00
00
10
01
10
00
11
10
01
01
11
10
01
01
10
10
01
00
01
11
11
00
10
11
00
01
11
11
01
00
10
00
01
11
10
01
00
10
10
11
00
01
10
10
10
00
00
11
01
01
00
01
11
10
11
00
11
11
00
11
01
10
11
00
01
00
11
11
00
01
11
00
10
10
01
11
10
10
11
10
01
11
10
00
00
01
11
01
10
11
00
00
11
00
00
11
10
00
01
00
11
00
10
10
00
00
01
11
10
01
11
00
01
00
01
10
00
00
11
11
01
01
00
10
00
11
10
00
00
10
00
00
01
01
01
00
10
11
10
10
10
10
00
00
00
00
00
10
00
00
10
00
11
01
10
00
00
00
11
11
10
01
00
01
10
11
00
00
11
10
10
10
10
00
00
00
00
01
10
10
00
00
00
10
10
10
11
00
11
00
01
10
10
00
10
00
01
10
00
00
00
00
11
00
10
00
00
00
10
00
10
11
00
11
10
00
01
00
00
00
00
11
11
01
00
10
00
00
01
10
10
00
00
00
10
11
00
10
10
00
00
10
00
01
00
10
11
00
10
00
01
00
00
10
00
11
10
10
00
10
00
01
10
10
10
00
00
11
11
01
00
10
10
10
00
01
00
11
01
10
11
11
00
00
11
00
10
10
00
11
10
11
00
10
01
10
01
11
00
11
11
01
10
00
10
10
00
10
10
01
00
10
11
00
11
00
00
11
01
00
01
00
10
00
00
11
10
01
00
00
10
10
01
11
11
00
10
11
11
00
11
10
01
10
00
10
00
00
01
00
11
00
00
10
01
10
00
00
11
00
11
10
00
00
00
01
00
11
10
01
10
01
01
10
11
00
00
11
00
01
11
10
00
10
10
10
00
01
01
10
10
00
01
00
11
10
00
10
10
01
00
00
10
10
01
10
01
10
11
00
10
11
01
01
11
00
00
10
01
01
10
10
10
10
00
11
00
00
11
00
01
10
10
01
10
00
11
00
01
00
01
10
10
00
10
01
00
00
11
00
00
11
00
01
00
10
00
00
01
00
10
11
00
01
00
10
10
10
00
01
00
10
10
01
00
10
00
00
11
10
00
10
11
11
00
10
10
10
00
00
00
11
00
01
10
10
00
00
00
00
10
00
00
00
10
10
10
00
00
00
00
00
10
10
00
01
00
11
10
11
10
10
11
01
00
10
10
00
10
00
11
10
00
10
10
00
00
11
11
11
10
11
00
01
10
10
00
00
11
10
11
00
10
00
10
00
00
00
11
11
01
00
00
00
11
01
10
00
01
10
00
00
10
10
10
00
01
00
01
10
11
10
10
10
10
00
10
10
01
00
00
00
11
10
00
10
10
10
10
00
00
00
11
00
00
00
00
01
01
00
00
11
10
01
01
11
11
01
11
00
10
10
11
11
01
00
11
11
01
10
10
00
01
10
00
10
11
00
10
00
10
10
10
00
00
10
10
10
00
10
11
01
01
10
11
00
00
00
01
10
11
10
11
10
11
10
01
10
10
10
00
10
10
01
11
11
11
00
10
00
01
10
00
00
10
11
00
01
11
11
10
00
00
11
01
01
11
10
10
10
00
00
00
11
10
01
10
00
00
10
11
00
10
11
10
10
01
10
01
11
11
00
00
10
10
10
10
00
11
10
10
00
00
11
00
00
10
10
00
10
10
10
00
01
11
01
00
10
00
10
10
00
11
01
01
00
10
10
10
00
10
10
00
01
10
10
10
01
00
11
11
10
00
00
10
11
00
00
10
10
00
00
01
11
00
00
00
10
01
00
11
11
00
01
11
11
11
10
00
10
10
00
00
00
10
01
00
01
00
11
00
00
00
01
00
11
00
01
10
11
01
00
10
10
10
01
10
11
11
00
00
10
00
00
01
10
11
00
10
11
10
01
00
10
00
10
10
01
01
11
11
11
01
11
00
01
11
11
01
00
00
10
10
00
10
00
00
10
00
10
10
00
11
11
11
10
00
01
10
00
10
11
00
11
10
11
00
01
01
00
00
10
00
01
10
10
00
01
00
01
10
11
00
11
00
00
11
10
01
00
11
10
11
00
00
11
00
10
10
11
10
11
00
01
11
10
01
10
00
01
10
01
01
10
10
10
00
10
00
10
11
00
01
10
10
10
01
10
01
10
00
10
11
10
10
00
00
00
01
00
10
01
00
00
10
00
01
10
10
00
10
10
10
00
10
10
01
00
01
11
10
10
01
11
00
00
10
10
10
00
01
10
10
01
10
10
10
01
01
10
10
10
11
01
00
01
10
11
10
10
00
00
00
10
01
00
10
11
00
01
01
00
00
10
11
10
00
00
00
00
00
00
10
11
01
11
11
11
11
00
00
10
00
00
10
01
10
10
00
00
01
00
11
00
00
10
10
10
00
01
00
01
10
11
10
01
11
01
11
10
00
11
01
10
01
00
11
00
11
01
01
10
00
00
10
11
00
11
00
01
10
10
01
00
11
10
10
00
10
11
11
10
00
10
01
00
10
01
01
00
00
11
00
10
00
01
11
00
01
10
11
00
10
10
00
10
10
11
10
10
00
10
10
11
10
01
00
11
10
11
00
10
10
00
11
11
00
01
00
10
00
11
00
10
10
00
11
00
00
10
00
00
00
10
00
10
11
10
00
01
10
00
01
11
00
11
00
10
00
10
11
01
10
10
10
00
11
00
10
11
01
01
10
10
00
10
00
11
11
01
01
11
10
11
00
01
10
00
00
11
10
00
00
10
10
01
10
01
01
00
10
11
11
00
10
11
01
00
10
10
00
00
10
10
11
00
00
10
00
11
11
00
00
10
10
10
00
01
10
11
11
00
00
00
11
11
00
00
10
10
00
01
00
11
01
01
10
10
10
10
10
01
10
01
00
10
11
10
00
01
01
11
10
11
01
11
00
00
10
10
10
00
00
11
11
00
10
10
11
01
10
11
00
01
10
10
10
00
01
10
00
00
01
10
10
01
10
10
10
11
01
10
00
00
00
10
10
11
10
01
10
00
00
00
00
00
01
10
10
00
10
01
00
00
00
01
01
00
00
10
01
11
10
01
00
10
11
11
11
00
10
11
01
00
00
01
11
10
11
01
10
11
11
00
00
10
00
01
00
11
10
00
00
11
10
10
11
10
10
10
00
01
01
10
01
00
10
00
01
10
01
00
10
00
00
10
10
10
00
00
01
00
11
10
10
00
00
00
11
01
01
11
11
00
00
10
00
00
10
00
00
10
11
10
00
01
10
11
10
00
01
11
00
11
11
00
01
00
10
00
10
00
00
00
11
00
10
11
10
01
11
10
01
10
11
10
11
01
10
01
10
01
10
01
00
11
00
00
10
00
10
10
10
00
00
00
10
00
11
00
10
00
10
00
00
10
00
00
11
00
10
00
01
00
01
11
10
00
10
10
00
10
11
10
10
00
10
10
01
00
00
01
11
10
10
10
00
10
00
10
11
01
01
10
11
10
10
10
00
10
11
10
10
00
00
00
10
10
00
00
01
10
00
01
00
01
10
10
01
10
00
10
10
00
10
11
00
00
10
10
00
01
00
11
11
01
11
10
00
01
10
00
00
00
10
10
00
10
10
00
00
00
10
00
10
10
00
00
11
00
00
10
11
00
00
00
10
00
10
00
10
10
10
11
01
01
00
10
11
10
10
10
00
01
00
01
10
10
01
10
00
00
00
10
00
01
10
10
00
00
01
11
11
01
00
00
01
00
00
10
11
00
01
11
10
00
01
10
01
00
10
11
11
00
11
10
01
01
01
11
00
00
10
00
00
01
11
10
10
00
11
00
01
01
10
10
10
00
00
10
00
01
11
11
00
00
10
11
00
01
10
10
01
01
00
00
10
11
01
00
01
10
11
01
01
10
11
11
11
10
00
01
10
10
10
00
01
01
10
10
10
10
10
01
00
00
10
10
01
01
10
10
01
00
10
01
10
00
00
10
01
10
00
10
10
00
00
00
01
10
00
00
10
00
11
10
00
10
11
10
00
11
00
11
11
00
01
10
00
01
11
10
00
00
10
10
00
11
00
00
01
00
00
10
00
00
10
01
00
10
11
01
01
00
10
10
00
01
00
10
10
00
01
00
00
01
11
01
00
00
10
10
10
11
01
00
11
10
00
00
00
11
10
00
00
01
01
00
11
00
01
01
10
11
11
00
00
10
10
01
01
10
11
01
00
01
00
10
01
11
10
11
00
00
10
11
10
10
01
01
10
00
00
00
01
10
10
00
00
00
10
00
10
10
00
00
01
00
00
00
01
00
11
10
00
10
10
00
00
11
11
01
00
10
11
10
00
00
00
10
00
00
10
10
10
10
10
01
11
01
00
11
10
01
10
00
00
10
10
00
10
11
01
00
01
10
10
00
00
00
10
00
01
10
11
00
01
10
10
01
00
00
10
01
10
00
10
10
10
00
00
00
01
10
10
10
10
00
10
10
11
00
00
10
00
00
10
00
11
10
10
10
01
00
00
10
10
00
11
10
01
01
01
10
11
00
11
10
01
01
11
00
00
10
01
00
10
01
01
00
11
11
11
00
10
00
01
01
11
11
00
10
10
00
01
00
10
10
11
10
01
01
00
01
10
10
01
10
10
11
10
10
11
00
01
10
00
00
00
11
10
10
10
00
00
00
00
11
00
00
10
10
00
00
00
10
10
00
10
00
10
10
00
10
10
00
11
11
00
01
10
10
01
10
10
00
00
00
01
00
11
11
11
11
10
10
10
10
00
01
01
10
00
10
11
00
11
01
01
00
01
11
10
01
01
01
10
01
01
00
10
10
00
10
11
11
01
01
10
01
11
01
00
00
10
10
01
01
11
00
11
01
11
11
00
00
10
00
01
10
10
01
10
10
10
10
00
00
00
00
01
11
00
10
00
00
00
11
11
01
10
10
00
01
10
10
00
00
00
10
00
11
00
10
00
00
11
00
11
10
10
11
00
00
10
11
00
00
10
01
10
11
00
10
00
10
10
00
00
10
01
10
11
00
11
11
11
00
10
00
00
01
10
00
00
00
00
00
11
10
00
11
00
01
10
10
00
10
10
00
01
11
00
00
00
00
01
10
11
10
00
00
00
10
01
00
10
10
00
10
00
10
10
01
01
01
00
00
00
11
10
11
00
01
10
00
10
11
11
01
00
11
10
01
11
10
11
00
01
10
00
11
01
10
00
01
10
11
10
00
00
11
01
00
10
11
10
10
00
10
00
00
10
10
01
11
10
00
10
00
10
01
00
00
11
00
00
00
10
10
10
01
01
11
10
00
10
00
11
11
01
00
10
10
01
00
10
11
10
00
01
10
00
00
11
00
00
01
11
10
01
01
10
11
00
01
10
00
00
11
00
01
10
10
00
01
00
10
01
11
00
00
10
11
10
00
00
11
10
00
00
00
10
11
00
00
10
10
00
00
10
11
00
01
10
10
00
10
00
00
00
00
11
00
10
00
10
01
10
01
11
11
11
10
10
10
01
01
10
00
10
00
00
10
00
10
01
00
10
00
10
10
01
10
10
00
00
01
10
11
01
01
01
00
11
11
10
01
01
10
10
11
00
00
10
10
01
01
10
11
01
10
01
10
11
01
11
11
00
00
00
01
10
11
00
10
10
11
11
00
00
10
10
00
00
00
10
00
00
10
10
00
01
00
01
01
00
00
01
01
11
10
00
00
00
11
10
00
01
00
10
01
00
10
10
01
10
01
10
10
00
00
10
10
11
01
11
10
01
10
10
00
10
00
00
10
10
00
00
00
11
10
11
10
01
10
10
10
01
11
01
01
00
00
00
10
10
00
00
01
11
11
00
00
00
00
01
10
11
10
10
10
11
10
10
00
00
00
01
00
10
11
01
01
11
10
00
01
00
10
10
00
00
11
10
01
00
00
10
01
11
01
00
01
11
00
11
10
00
01
10
00
00
00
11
10
01
01
01
11
00
10
10
01
01
10
00
10
10
00
10
00
11
10
10
10
11
10
00
00
00
00
01
01
10
00
00
00
10
00
01
10
11
11
01
10
00
11
10
11
00
01
11
10
11
00
00
11
00
10
01
00
10
01
00
10
10
00
01
00
11
10
01
00
00
00
11
01
10
11
00
00
00
01
10
10
00
01
01
10
10
00
00
10
00
00
00
00
11
11
10
00
10
01
10
10
00
00
10
01
10
10
00
01
00
01
00
00
10
11
01
10
10
01
10
10
10
10
10
11
11
01
10
11
11
00
11
11
01
10
00
00
11
01
00
10
00
10
11
00
00
01
01
00
00
00
10
10
10
10
00
00
01
10
11
10
00
11
00
11
10
01
00
01
10
10
10
00
00
10
10
00
01
10
00
00
00
10
10
10
10
10
00
10
11
10
10
11
00
10
11
11
10
00
10
10
00
01
01
10
11
10
01
01
11
00
11
10
00
01
10
01
00
10
10
10
11
10
00
00
01
10
01
10
00
00
00
11
11
11
00
00
00
10
00
11
00
00
00
10
10
10
01
10
11
00
10
00
00
11
10
10
11
11
00
00
10
10
01
00
10
00
00
11
10
01
00
10
10
10
10
00
10
11
00
10
00
10
01
11
10
01
11
10
00
11
00
01
00
10
10
11
01
00
00
00
00
10
00
00
11
00
00
10
10
01
00
10
00
01
11
00
01
10
01
00
11
00
10
11
01
01
00
10
10
10
01
10
10
10
01
00
00
11
01
00
11
10
10
00
11
10
10
00
01
11
10
00
10
00
01
00
10
10
10
11
10
01
00
10
10
10
01
11
01
10
01
00
00
10
00
10
10
00
01
10
10
11
10
10
00
01
00
10
10
01
11
10
01
01
00
00
00
10
00
01
11
10
10
10
01
00
10
10
00
00
00
01
10
00
10
01
01
10
00
10
11
01
00
11
00
01
10
10
11
10
11
00
11
11
01
11
10
10
00
10
11
10
01
01
00
11
00
11
10
10
01
00
11
00
00
10
10
01
10
00
00
00
00
10
01
00
10
00
10
00
00
10
01
01
10
00
01
10
10
01
00
10
01
00
01
10
10
10
10
10
10
10
00
01
00
10
10
10
00
10
10
01
00
01
00
11
10
11
00
10
11
00
11
10
01
00
10
10
00
00
10
00
00
01
11
11
00
10
11
01
01
10
11
00
00
10
01
01
01
11
11
11
01
00
00
11
11
01
00
00
11
11
10
11
00
10
10
00
10
01
00
11
10
10
00
10
10
00
10
10
10
10
00
10
10
11
10
10
01
10
01
11
00
11
11
10
10
00
10
11
00
00
00
10
00
11
01
10
10
01
00
01
11
10
00
01
10
00
10
10
01
00
10
11
00
01
00
00
00
00
11
10
10
00
00
10
01
10
00
00
10
10
00
10
10
11
01
10
10
11
11
01
00
00
10
00
00
11
10
10
00
00
10
00
01
10
10
11
10
10
10
00
10
01
01
11
00
00
11
10
00
10
11
10
00
00
01
00
10
01
00
11
11
10
00
01
00
10
10
00
10
11
00
10
00
00
11
00
10
01
00
10
10
10
00
00
10
10
11
00
10
00
00
00
00
00
11
10
10
11
00
11
00
10
01
10
00
11
10
01
00
10
10
10
00
00
10
11
10
10
00
10
01
00
11
00
01
10
01
10
00
00
10
11
01
10
10
10
01
00
10
10
00
00
00
10
10
01
10
11
01
00
01
11
10
01
00
11
01
10
10
10
00
00
00
10
10
10
10
00
00
01
01
00
10
10
00
00
01
10
00
00
10
00
00
00
11
11
10
11
10
11
11
11
01
01
10
11
01
11
10
10
00
00
10
10
01
01
11
00
10
11
01
01
01
11
10
10
01
00
01
10
00
00
00
10
10
10
01
00
11
01
00
10
11
10
00
00
10
00
00
10
10
10
10
11
01
00
10
00
00
11
10
10
10
01
10
10
00
00
00
00
00
10
10
11
10
01
11
01
11
11
00
10
00
00
10
10
10
00
10
10
10
11
00
10
11
00
10
10
00
11
00
10
01
01
00
01
01
11
10
01
00
00
10
11
01
10
10
00
00
10
10
01
00
10
10
00
00
00
11
11
00
10
10
11
00
10
01
00
11
10
11
11
01
00
10
11
00
10
00
01
10
10
01
10
10
00
00
00
10
11
11
10
00
01
10
11
01
11
11
01
01
10
00
10
10
11
01
00
11
10
10
00
10
00
10
11
00
01
10
00
10
11
10
10
10
00
01
00
01
01
00
00
10
11
11
01
00
00
10
10
11
00
11
10
11
00
10
11
00
10
00
10
00
10
00
10
10
11
00
00
11
10
11
10
01
01
11
11
00
01
00
01
11
10
10
00
00
10
00
00
11
00
10
11
10
00
00
10
10
10
11
00
00
10
11
00
00
01
10
00
00
00
00
01
10
11
10
10
00
10
00
01
00
01
00
01
10
01
00
10
11
01
11
10
11
10
00
10
10
00
10
11
00
00
11
10
01
00
11
10
10
10
00
10
00
10
10
00
10
10
01
00
00
10
10
00
00
11
00
10
10
00
00
01
00
10
00
10
00
00
10
11
00
00
01
00
01
10
00
10
00
00
01
00
11
11
00
00
10
10
01
01
10
11
00
00
01
10
10
01
00
11
11
00
10
01
01
11
10
10
01
10
01
00
10
10
00
10
00
00
11
00
00
10
10
01
00
00
10
11
10
11
00
01
00
00
10
10
10
00
01
01
11
00
00
10
00
11
10
10
01
10
11
00
00
11
11
01
00
01
00
01
00
00
10
10
10
11
10
10
11
00
01
10
10
01
00
00
01
00
10
11
00
10
01
01
00
01
11
01
01
00
11
11
10
11
11
01
01
11
10
11
11
11
00
01
01
10
10
01
00
01
10
10
11
00
01
10
10
00
10
00
10
11
11
10
01
11
00
11
11
00
10
10
11
11
00
10
01
01
10
10
01
01
10
10
00
00
00
00
10
10
01
10
10
10
11
01
01
10
00
00
11
00
10
10
00
01
11
10
11
00
00
11
10
00
11
11
01
00
10
10
00
00
11
01
01
11
00
11
11
00
01
00
10
10
01
00
10
10
11
00
00
11
00
00
11
00
11
10
01
00
00
10
10
11
00
10
10
10
10
00
10
00
00
11
11
00
10
01
10
10
00
00
10
10
01
01
00
10
01
00
10
01
00
10
10
00
11
01
00
00
10
11
01
00
10
10
10
00
10
10
10
00
00
10
11
10
01
01
10
00
00
10
11
10
00
11
10
10
10
00
00
10
10
10
00
00
01
10
01
00
10
11
11
00
10
11
00
00
10
10
00
00
00
11
10
00
01
10
11
00
10
00
10
00
01
01
11
00
00
01
00
10
00
01
11
11
10
10
00
01
00
11
11
00
00
00
00
10
01
10
10
00
00
11
01
00
11
11
00
10
00
01
11
10
00
00
11
11
10
01
00
10
11
11
00
10
10
10
10
00
10
00
01
10
10
11
11
00
01
00
10
10
00
10
00
00
00
10
11
10
00
00
10
00
00
00
10
10
01
10
00
10
00
00
10
01
10
10
01
11
01
00
11
10
11
11
10
01
01
01
11
10
00
10
10
00
10
11
01
10
10
10
11
01
10
01
01
01
00
11
10
00
00
10
10
01
00
10
00
00
00
10
00
01
10
00
01
00
01
00
10
10
00
01
10
00
00
00
10
10
10
10
10
10
01
11
10
00
01
10
10
00
11
10
01
00
00
00
00
10
00
01
10
00
00
10
00
10
00
01
01
00
00
00
10
10
10
00
11
11
00
10
11
10
00
01
11
10
10
11
10
10
11
11
01
01
01
10
00
10
10
00
00
10
10
10
00
01
10
01
01
01
11
00
11
01
11
10
00
00
11
01
10
00
00
11
00
11
10
01
00
11
10
00
10
10
10
00
00
10
01
00
11
10
10
11
01
00
01
00
11
11
00
00
10
00
00
10
10
00
00
10
10
10
01
00
00
00
01
10
10
00
10
10
01
00
01
01
01
11
10
10
00
01
10
00
01
10
00
01
10
11
11
10
00
11
10
00
10
00
10
01
01
11
00
11
00
00
10
10
11
00
01
00
00
10
11
00
11
00
00
00
10
10
00
10
11
10
11
00
10
10
01
10
01
00
10
00
00
01
10
00
00
00
10
00
11
00
10
10
01
11
01
00
11
10
00
00
11
11
00
10
01
10
10
00
00
01
10
00
11
10
00
01
01
10
00
00
01
10
11
00
10
00
01
10
10
11
00
00
11
00
10
00
00
00
10
10
10
11
11
10
01
10
00
00
11
10
00
00
00
00
10
00
10
10
00
01
00
10
11
00
00
11
10
10
10
00
00
00
00
10
10
00
10
01
00
11
00
00
00
10
11
01
11
00
10
10
10
11
10
11
00
10
10
00
01
10
00
10
10
01
00
10
10
00
01
00
00
01
01
00
10
11
01
11
10
11
10
01
10
10
00
01
10
11
00
00
01
10
00
01
00
10
10
00
00
11
00
00
11
00
00
10
00
11
00
11
10
00
01
00
01
00
10
00
11
00
00
11
10
11
01
11
00
01
10
11
10
01
00
10
00
10
00
01
00
11
11
10
11
10
11
00
01
10
01
10
10
00
00
11
10
11
00
01
00
00
11
00
10
10
10
10
10
00
00
00
00
00
10
10
11
10
10
00
10
10
10
00
00
11
11
00
01
10
00
00
00
11
00
11
11
01
00
10
11
11
10
01
10
11
10
01
10
10
01
01
10
00
10
00
10
10
01
00
00
00
00
10
01
11
11
10
11
10
10
00
00
11
11
01
00
11
10
00
10
00
00
10
01
01
10
10
10
01
01
00
10
10
10
00
10
11
10
01
01
10
00
10
11
01
11
10
01
10
10
10
10
01
00
10
11
10
01
10
10
11
01
00
01
11
11
11
00
10
10
10
01
00
11
10
01
10
00
10
01
00
11
01
11
00
10
00
00
10
01
01
11
10
01
00
00
10
10
00
01
01
10
10
00
01
01
11
10
10
00
10
00
00
10
11
11
11
00
01
10
11
01
00
10
10
10
00
01
10
10
11
00
00
00
00
10
10
01
01
00
11
10
10
01
01
01
00
11
00
10
00
01
10
10
00
10
11
01
10
01
11
00
00
11
10
00
01
11
00
00
01
11
00
00
10
00
10
10
00
01
10
11
11
10
00
10
00
11
00
01
10
11
00
10
10
11
11
01
00
10
10
11
00
01
10
10
00
10
00
10
10
00
11
11
00
00
00
00
10
10
10
00
00
11
01
11
00
11
00
10
10
00
00
00
10
10
10
00
10
10
10
01
11
01
01
10
10
00
10
01
11
00
10
11
01
01
11
10
01
10
01
10
10
10
00
00
10
00
10
10
10
00
10
11
10
10
00
10
00
00
00
01
01
11
00
10
10
00
11
00
01
01
11
00
10
00
01
00
10
00
10
11
10
10
10
11
01
10
01
11
01
11
10
00
00
10
00
11
10
00
00
00
10
00
00
11
00
11
10
01
10
10
11
10
01
00
00
10
11
00
10
01
01
10
01
10
10
00
00
01
10
00
00
10
11
11
11
00
11
00
00
10
11
10
10
11
00
01
10
00
00
00
10
10
00
00
10
10
10
10
01
11
00
00
00
00
00
00
01
01
10
01
00
11
00
00
00
11
10
01
00
10
10
11
00
00
01
11
01
10
10
00
10
00
00
10
10
00
11
10
11
00
10
00
10
01
10
00
10
11
00
00
01
00
10
10
10
10
11
00
00
10
11
10
11
00
11
10
01
10
00
01
11
01
00
00
00
00
10
10
10
00
01
11
01
10
10
00
01
10
01
01
11
10
11
00
01
00
00
11
10
00
01
00
10
11
00
00
10
01
00
01
00
10
01
01
10
10
10
00
00
00
10
00
10
10
10
10
00
11
11
01
11
00
10
00
10
00
11
10
00
00
00
10
00
00
10
10
00
10
10
10
00
01
00
10
01
00
01
00
11
11
01
10
01
00
10
00
00
01
10
10
00
01
01
10
01
10
00
01
00
00
10
11
00
11
11
00
01
10
11
10
10
00
01
11
11
01
00
11
01
01
11
11
01
10
10
10
10
01
01
10
01
10
10
10
00
01
11
11
01
00
11
10
01
11
10
10
00
00
11
00
10
00
00
00
11
11
00
00
10
10
10
10
10
00
00
00
10
10
00
00
00
10
10
00
11
00
01
00
11
00
01
11
00
11
11
11
00
10
10
01
00
11
10
00
01
00
10
00
00
01
01
11
10
01
01
01
00
10
11
10
01
00
00
11
00
00
10
10
10
11
01
00
01
10
00
11
10
00
00
11
11
10
11
01
10
00
00
11
10
00
00
10
10
11
00
10
10
00
00
00
00
10
11
10
10
01
00
00
11
10
00
00
00
10
00
10
11
10
01
11
11
00
00
10
10
01
10
01
10
00
00
00
10
11
00
11
10
10
00
00
00
11
00
00
10
10
10
00
00
01
10
11
10
11
00
01
00
00
11
11
00
00
11
10
00
10
11
01
01
11
10
10
01
11
10
10
00
01
10
10
10
11
00
10
11
01
11
00
01
10
10
11
00
01
11
10
01
00
00
10
10
10
10
01
01
00
00
01
10
00
11
00
00
00
10
10
10
01
10
00
11
00
00
00
11
10
11
00
00
00
10
00
11
00
01
00
00
10
01
00
00
01
10
11
10
00
10
11
10
00
00
10
11
00
01
10
00
00
11
10
10
10
01
00
10
00
11
01
01
01
11
11
00
01
10
10
01
00
10
10
01
00
00
11
10
00
01
00
10
01
00
00
10
10
00
10
11
01
01
00
01
00
00
00
10
10
10
10
00
00
01
11
00
10
00
00
10
10
01
00
01
01
11
00
01
00
10
01
10
10
00
01
10
00
10
00
00
00
00
01
10
10
10
00
00
00
11
00
10
00
00
10
00
00
00
11
10
01
11
10
00
01
00
10
00
01
11
11
10
11
00
00
11
00
01
10
01
00
10
11
00
11
10
00
00
10
00
10
00
00
00
00
01
00
10
00
00
11
10
10
10
01
00
10
10
00
10
01
00
01
10
10
10
01
00
01
10
11
01
00
10
10
01
00
00
11
10
11
01
01
10
00
00
00
11
10
00
10
10
00
10
10
00
11
00
10
00
01
00
10
01
00
10
10
10
10
10
00
00
11
10
10
10
00
10
00
10
10
10
11
00
00
10
00
01
01
10
11
00
10
01
10
10
00
00
01
10
00
10
11
11
00
01
10
11
01
10
11
00
01
01
01
10
10
00
00
00
11
00
10
11
01
00
10
00
10
11
00
01
00
10
10
00
11
00
10
10
10
00
10
11
00
01
10
00
00
11
11
10
10
00
11
11
00
11
10
00
01
10
11
10
11
00
01
00
11
10
00
11
10
00
00
00
10
10
00
00
00
01
00
00
00
10
00
00
00
11
10
00
00
10
10
01
00
10
10
01
10
11
11
00
10
10
01
10
01
00
10
11
10
00
00
00
00
10
00
00
10
10
00
00
10
10
11
10
10
11
00
01
01
00
11
10
10
01
00
10
10
10
00
01
11
10
10
00
00
10
10
01
00
10
10
00
00
11
11
00
00
00
10
11
00
11
10
00
01
11
00
01
00
10
01
10
11
00
00
11
11
01
10
11
00
10
11
00
00
00
00
10
10
00
00
00
11
00
00
00
11
10
10
00
00
00
00
10
10
00
10
10
11
00
01
00
00
10
00
00
10
11
01
10
10
01
01
00
01
10
11
10
01
10
00
00
00
00
11
10
00
00
00
00
00
00
10
10
10
00
10
00
01
10
00
00
10
11
00
11
00
00
00
11
11
11
01
01
10
10
00
10
00
00
11
10
10
00
01
01
00
00
11
10
00
11
10
01
00
11
00
00
10
10
01
00
00
10
11
00
11
01
10
00
10
10
11
00
01
10
10
10
10
10
10
10
01
10
10
01
10
01
01
10
10
00
00
00
11
10
01
10
01
01
00
00
11
01
01
01
10
00
11
00
00
10
01
01
11
00
10
00
00
00
01
10
10
01
10
10
11
10
00
10
00
00
00
01
10
00
11
11
00
10
01
10
01
01
11
00
11
00
00
10
00
00
10
11
00
11
10
10
01
01
00
10
10
00
00
11
01
10
10
00
01
00
11
10
00
00
10
10
11
01
01
00
01
00
10
00
00
00
10
10
00
00
01
01
00
10
00
10
11
10
01
01
10
01
11
01
10
11
00
10
11
00
00
11
01
11
00
00
10
10
10
00
00
10
11
01
00
00
11
10
10
01
10
00
11
11
01
00
01
11
10
10
01
01
01
10
11
10
00
10
00
00
10
11
11
01
00
01
01
00
10
11
00
01
11
10
01
10
10
10
01
00
10
11
00
00
00
10
10
00
10
00
11
00
00
10
11
10
01
10
00
10
10
10
11
00
00
10
01
10
10
10
11
10
00
10
10
10
01
00
11
10
11
10
10
10
01
10
10
00
11
10
10
00
01
10
11
10
10
10
11
01
00
11
00
10
10
00
01
10
01
01
11
10
11
00
01
00
11
00
00
10
10
11
01
10
11
10
10
00
10
00
01
10
10
11
01
00
01
00
11
10
01
00
00
00
10
01
00
11
01
10
00
10
10
10
10
00
00
10
00
10
10
01
10
00
00
10
01
00
00
11
01
01
10
11
00
00
01
01
01
10
10
10
10
00
00
10
10
00
10
00
10
11
01
01
10
00
00
11
01
11
10
11
00
00
10
10
01
00
00
01
11
11
01
10
00
10
11
00
10
10
00
11
11
10
10
00
11
10
10
00
00
01
11
10
00
10
00
10
00
00
10
10
00
00
11
11
10
00
00
11
11
10
00
10
10
11
10
00
10
00
11
10
01
00
10
01
00
10
11
00
10
01
00
00
01
11
10
00
10
10
00
10
10
00
01
00
00
10
00
01
10
11
10
10
00
00
00
11
11
01
10
01
11
00
00
10
11
01
00
10
10
10
00
10
01
01
10
10
00
10
10
00
00
10
01
10
00
00
10
10
01
01
10
11
10
01
10
01
00
10
00
11
00
00
00
11
10
11
00
00
00
00
10
10
11
00
10
10
01
10
00
00
10
00
11
11
01
11
11
00
10
10
01
01
11
11
01
11
01
00
10
01
01
11
10
00
01
11
11
10
01
01
00
11
00
00
11
11
00
10
10
00
00
10
01
10
11
00
10
10
10
10
10
00
00
10
11
10
10
01
01
01
11
10
10
00
00
00
10
01
11
11
00
10
00
11
01
11
01
11
10
10
10
00
10
00
00
11
00
01
10
10
00
10
00
00
00
11
00
01
11
10
10
10
00
10
01
01
11
10
11
00
00
00
00
10
11
10
10
00
11
11
10
00
00
11
00
10
10
10
00
00
00
00
00
00
00
10
01
10
00
01
00
10
10
10
01
00
11
10
10
00
01
01
10
11
00
10
10
00
00
00
01
10
01
01
01
00
00
11
10
01
01
10
11
10
00
00
00
01
10
00
00
00
10
00
11
10
00
00
01
10
11
01
11
11
10
10
10
11
00
00
10
10
10
00
01
00
00
00
10
01
10
00
11
10
00
10
00
10
10
01
10
10
10
01
10
00
00
10
01
10
01
10
10
10
00
00
10
00
11
11
10
00
00
11
11
10
00
10
00
10
00
00
10
10
10
11
01
00
01
10
10
10
11
00
11
00
01
10
10
00
10
10
01
11
01
10
10
10
00
10
00
00
10
10
00
01
00
00
10
11
11
10
00
00
10
10
01
01
10
10
01
00
10
10
11
00
10
11
01
01
10
00
01
10
00
10
01
01
10
10
00
10
10
10
00
00
00
01
01
10
10
00
01
10
00
01
10
10
10
10
00
01
11
11
11
11
00
00
00
01
11
10
00
00
10
01
10
10
11
00
00
10
10
10
00
00
11
11
10
11
00
00
00
00
01
01
10
11
10
01
01
10
10
01
01
00
00
10
11
10
00
00
10
10
01
01
11
10
10
10
10
10
01
00
10
00
10
10
00
00
01
01
10
10
00
10
01
11
10
00
00
01
10
01
00
11
10
01
00
10
00
00
10
00
11
10
01
11
01
10
00
10
10
00
00
01
11
00
01
11
11
01
00
00
11
11
11
10
00
01
00
00
01
10
10
01
00
11
10
00
10
10
11
10
10
01
10
00
01
00
01
11
01
10
11
01
00
01
11
10
01
10
00
10
11
00
01
11
11
10
00
01
11
01
00
11
00
01
00
01
00
10
11
10
11
00
00
11
10
00
00
00
10
01
10
00
10
11
00
10
00
00
01
01
10
11
10
10
01
00
10
11
11
10
01
10
00
10
11
01
01
00
10
10
01
11
11
01
00
10
00
00
10
10
00
00
10
10
00
00
00
10
10
10
11
00
01
10
10
00
10
01
10
01
00
00
10
10
11
01
11
10
11
00
10
01
00
01
10
11
00
11
10
11
10
01
00
10
00
11
10
00
00
10
10
00
00
01
11
01
10
01
00
10
11
00
10
10
00
11
11
00
00
11
10
10
00
00
11
10
11
00
00
10
01
00
11
10
01
00
10
11
10
10
01
00
11
00
11
01
00
00
10
10
00
10
10
00
00
10
00
11
01
00
01
00
10
11
11
11
01
00
10
10
00
01
10
10
01
10
10
00
00
11
01
01
11
11
00
01
10
10
01
00
10
10
00
00
00
00
10
00
10
01
01
00
10
00
00
11
01
10
11
00
00
10
01
01
01
11
10
11
10
10
10
00
10
11
11
00
00
00
00
10
10
00
00
10
10
00
10
01
00
10
00
00
00
00
10
10
10
10
00
00
00
10
01
10
11
10
01
00
01
00
10
11
00
01
11
01
01
11
00
00
10
11
00
11
00
10
00
10
10
00
10
00
00
01
10
10
01
10
01
01
10
10
10
10
11
10
00
01
10
10
10
00
00
10
10
00
00
10
10
00
00
00
00
10
00
00
00
00
10
10
00
10
10
10
01
01
10
01
00
00
00
11
01
10
10
00
11
00
10
01
00
10
11
01
00
01
10
10
00
01
00
01
10
10
10
00
00
10
00
00
01
11
00
00
00
00
10
10
10
10
00
01
01
01
00
11
10
10
01
00
00
10
10
11
10
00
10
10
00
10
10
00
11
10
00
10
00
10
11
00
00
00
01
01
00
00
01
10
10
10
10
00
00
10
00
00
10
00
10
10
10
11
00
00
01
11
01
11
11
10
10
10
10
00
10
11
01
00
00
00
00
11
11
11
00
00
10
01
00
01
01
10
10
00
11
11
10
00
11
11
01
01
11
01
01
11
01
00
00
10
11
01
00
10
01
01
10
00
11
10
01
00
00
00
11
01
11
10
00
10
10
10
00
10
10
01
10
10
01
00
01
10
11
00
01
10
11
10
10
10
10
01
01
10
11
00
10
01
00
10
00
11
01
00
00
11
00
00
00
11
11
11
00
00
00
10
00
10
10
00
00
10
10
00
10
01
00
01
10
10
11
11
01
00
10
11
00
01
00
10
00
00
00
11
10
00
01
10
00
10
00
01
00
01
11
10
01
00
11
11
00
00
11
11
00
00
11
00
00
00
10
00
00
10
00
10
11
11
11
01
10
10
10
11
01
00
11
11
00
01
01
10
10
00
01
01
11
01
10
10
10
00
10
00
00
10
00
00
11
00
00
10
00
00
10
10
00
10
10
01
10
11
01
00
00
00
00
10
11
01
00
01
11
10
11
11
00
11
00
00
00
10
10
11
10
00
01
11
10
00
10
01
01
10
01
11
11
10
01
00
10
00
11
10
00
00
00
00
00
10
11
11
01
10
10
10
00
00
11
10
01
00
10
00
11
10
00
00
10
11
11
10
01
01
01
11
10
00
10
10
00
10
11
01
11
10
10
00
11
11
11
11
00
11
00
01
00
10
11
01
10
11
10
00
00
00
10
11
11
10
01
00
10
01
10
11
00
01
10
10
00
10
10
00
01
10
01
10
01
01
11
10
00
00
10
00
01
01
10
10
00
00
10
10
00
10
10
10
10
00
10
10
10
01
11
11
11
10
00
00
00
00
11
10
10
00
00
10
01
01
00
00
11
11
00
11
11
11
00
01
10
00
01
10
10
00
10
11
00
00
00
00
11
01
00
10
00
00
10
10
00
01
01
11
10
11
10
11
01
11
11
00
11
11
00
11
01
00
11
00
10
01
00
00
11
00
00
11
00
10
11
11
01
01
00
00
11
10
10
00
10
01
10
01
00
01
10
00
00
11
10
10
00
10
00
00
10
00
11
01
11
01
00
01
11
11
00
00
11
10
10
11
00
00
01
00
10
00
01
00
01
10
11
01
00
10
00
00
10
11
11
11
00
01
01
00
10
10
00
00
11
10
00
00
11
00
10
00
10
10
00
10
00
00
10
11
10
00
10
11
11
11
00
11
00
01
10
11
10
01
01
11
10
00
00
10
10
01
01
11
01
10
00
00
10
10
11
00
01
10
10
00
10
01
10
00
01
00
01
11
01
10
11
10
00
10
01
01
10
00
01
00
00
00
01
00
00
10
10
01
01
00
11
00
01
10
01
10
10
11
01
00
10
00
00
10
11
10
00
00
10
01
10
01
01
10
11
11
10
10
00
10
00
00
10
10
10
11
11
00
00
10
00
00
10
10
00
11
00
00
10
11
00
11
10
11
10
00
01
00
00
10
01
01
11
00
00
10
00
10
11
11
00
00
11
00
11
00
10
00
00
00
11
00
00
11
10
01
10
00
10
10
00
00
01
10
10
00
11
11
00
00
00
11
11
10
11
10
00
00
01
00
10
00
01
00
00
00
00
00
10
01
10
00
00
10
00
10
11
00
11
10
00
10
00
00
10
11
00
10
00
11
01
10
00
00
01
00
11
11
10
10
00
01
00
00
11
11
00
00
11
11
10
00
00
00
00
00
10
10
10
00
00
10
00
01
11
10
11
10
11
00
10
00
00
10
10
00
11
00
01
10
00
10
00
00
00
00
10
00
00
01
00
10
10
11
00
10
11
00
01
01
01
11
00
00
00
10
10
00
00
10
10
10
10
00
00
01
00
10
10
11
00
11
00
00
10
00
00
10
10
00
01
10
00
00
00
00
11
10
01
11
01
10
10
00
10
01
00
00
00
10
10
00
01
10
10
01
10
10
01
10
10
00
01
00
11
10
00
00
01
00
01
10
11
10
10
11
01
00
11
11
00
01
01
11
11
00
00
10
11
00
10
10
11
00
10
11
00
00
00
01
10
10
00
10
10
10
00
10
10
10
10
01
01
10
11
10
00
01
10
11
00
00
10
01
00
11
11
01
00
10
00
00
00
00
11
10
01
00
11
01
01
00
11
01
00
01
11
10
00
01
11
01
11
10
01
00
00
01
11
10
11
01
11
10
00
00
10
00
00
10
10
00
00
11
10
10
10
10
10
01
10
10
01
10
00
10
00
10
10
00
01
10
10
10
00
10
01
10
10
11
01
10
00
01
11
00
10
01
10
10
10
00
00
01
00
10
00
10
00
01
00
11
00
00
10
10
10
10
10
01
00
00
10
01
10
00
01
10
00
11
00
10
00
10
01
10
10
10
10
01
00
10
11
01
01
00
11
01
01
00
00
00
10
11
10
11
01
00
10
00
01
00
10
10
01
00
10
00
00
10
11
10
10
11
11
01
00
00
01
01
10
10
00
00
10
00
00
11
10
01
10
10
11
01
00
00
10
10
00
11
00
01
00
10
00
10
10
01
01
11
01
01
01
10
11
00
10
01
10
00
00
10
11
01
00
10
11
10
11
11
01
10
11
01
00
10
11
00
11
10
10
00
10
00
11
11
00
00
10
10
01
10
00
11
01
00
11
01
11
10
00
01
11
10
00
01
11
10
00
00
01
10
00
10
10
00
00
11
10
10
01
01
00
10
01
01
01
11
11
01
00
00
11
11
00
00
00
10
00
00
00
10
10
10
10
10
11
00
00
10
10
01
10
11
11
00
10
00
01
10
00
00
11
10
01
10
10
11
10
10
00
11
10
10
11
00
00
10
10
10
10
10
01
00
10
10
00
10
00
00
11
01
10
10
10
10
01
10
10
11
01
01
10
10
01
11
00
00
00
10
10
00
10
10
00
10
00
10
00
10
10
11
10
01
00
10
11
00
10
00
00
10
00
11
00
10
10
10
00
00
10
10
10
00
01
00
01
11
11
11
10
00
01
00
11
10
00
00
01
10
10
10
11
11
10
00
00
01
00
01
01
10
00
10
11
01
01
00
10
00
00
00
01
10
10
01
00
01
01
01
10
10
01
10
10
00
01
00
10
11
10
11
00
00
10
00
00
00
10
00
10
10
00
00
11
10
01
11
10
11
00
01
00
01
10
11
00
10
10
00
10
01
01
10
01
00
00
01
01
00
10
00
01
00
11
11
01
01
10
10
00
01
10
11
00
00
00
10
10
10
00
00
00
00
10
01
00
00
10
11
10
10
00
10
00
00
00
11
00
00
10
10
10
10
10
10
10
00
11
00
10
10
10
10
01
00
01
00
10
00
00
11
10
00
01
01
11
11
01
11
00
01
10
10
00
00
10
00
00
10
11
00
01
01
11
00
11
10
10
00
01
11
00
00
10
10
10
00
11
01
10
10
00
11
00
11
10
11
11
01
11
11
11
00
00
00
10
11
00
00
10
00
01
11
10
10
01
00
00
11
10
10
10
00
10
00
00
10
10
00
00
10
00
10
10
11
10
00
00
01
00
00
10
00
00
01
00
11
01
01
11
11
10
10
00
00
00
11
10
01
10
00
01
10
10
11
00
00
01
10
10
11
10
01
10
00
00
10
00
00
00
11
11
00
00
11
11
00
11
10
00
10
00
00
10
00
00
00
00
11
11
10
11
01
10
10
10
00
00
11
00
00
01
00
11
10
00
00
00
10
10
01
00
00
00
00
10
10
10
00
10
10
11
00
00
10
01
00
11
10
11
00
00
00
10
10
00
11
01
11
10
01
10
01
10
10
00
00
00
11
11
11
10
10
01
10
10
00
01
11
01
11
10
00
00
10
00
10
11
10
00
00
00
01
01
10
11
00
00
01
11
11
00
01
00
01
10
10
10
00
00
10
01
01
00
10
10
01
10
10
11
00
11
00
10
11
01
01
10
00
01
00
11
10
01
11
11
01
10
00
00
00
11
11
00
11
11
01
00
00
10
11
11
00
00
11
11
00
11
00
10
10
00
11
00
01
01
00
01
10
10
10
11
00
10
10
00
10
01
11
10
00
00
10
11
10
00
00
11
10
00
10
10
00
00
11
00
11
11
11
10
01
10
00
10
10
11
00
10
10
01
11
10
11
00
11
10
11
10
10
11
00
11
01
10
01
11
11
10
01
01
00
10
00
00
10
11
01
10
10
10
00
00
10
00
00
10
00
00
00
00
10
11
00
11
11
10
10
10
00
00
10
10
10
00
10
00
10
10
10
01
00
10
10
10
10
01
01
11
11
00
11
01
01
10
10
00
00
10
10
10
10
10
11
11
11
01
01
01
01
00
11
11
00
01
10
00
01
00
10
10
00
10
00
00
10
00
00
00
10
00
11
01
00
01
00
10
10
10
00
00
10
11
00
11
10
10
10
10
11
01
10
00
00
10
00
00
10
10
01
11
11
11
01
01
00
00
00
00
10
11
00
10
11
10
10
00
01
10
10
00
01
10
01
11
11
00
01
10
00
11
11
11
00
10
10
00
00
00
10
10
11
10
10
01
00
11
01
01
10
00
10
11
10
00
00
11
11
00
00
10
10
00
00
10
10
10
00
01
00
01
10
11
10
01
10
11
01
00
00
10
00
01
00
10
10
00
00
11
10
11
10
01
01
00
00
10
10
00
11
10
00
10
01
11
01
01
10
00
11
01
00
10
11
11
00
01
01
00
01
10
11
00
11
11
00
00
10
01
10
01
00
01
11
11
01
10
11
00
10
10
01
00
01
10
10
01
00
00
11
00
00
00
10
10
10
00
10
10
11
10
00
11
01
10
10
00
00
01
00
11
10
01
10
10
11
01
10
11
01
00
10
00
11
00
00
01
00
00
01
10
10
11
00
11
10
00
01
10
11
10
10
10
00
10
00
00
10
11
01
11
10
01
01
10
10
10
10
00
10
10
01
10
00
10
00
00
01
10
10
01
00
10
10
11
01
11
11
00
10
11
10
00
11
10
01
00
11
10
10
00
10
10
00
00
10
10
01
00
11
11
01
10
00
11
10
10
00
10
00
01
10
10
00
10
01
00
10
00
11
10
00
00
11
00
01
11
01
01
00
00
00
10
01
00
10
11
11
00
11
00
10
10
01
10
00
00
00
00
10
00
11
00
10
10
10
00
00
10
10
10
10
00
10
10
00
10
10
00
11
10
11
00
00
10
10
11
11
11
01
01
00
10
11
10
00
00
01
10
10
00
11
10
01
00
01
00
00
11
01
00
10
00
11
11
00
00
11
10
10
10
11
00
00
00
01
10
11
00
01
11
00
10
11
01
01
00
00
10
10
10
10
11
01
00
01
11
10
10
00
10
10
00
01
00
10
10
00
00
00
10
11
10
00
00
11
10
01
00
00
00
00
00
10
00
10
00
10
01
01
00
01
11
10
11
00
11
00
10
00
00
01
10
10
10
00
10
10
00
01
01
11
10
10
10
00
10
10
00
00
11
10
10
01
01
01
10
10
11
00
00
11
11
00
10
10
00
01
00
01
01
10
10
00
00
11
01
00
11
00
00
10
10
11
01
01
10
10
00
10
10
00
00
11
10
10
10
10
00
01
10
11
10
00
00
00
00
10
10
01
00
10
10
01
00
01
00
10
11
00
01
10
10
00
10
01
00
00
10
10
10
10
01
10
01
00
00
00
10
00
00
01
10
00
00
01
11
00
11
10
10
00
00
00
00
10
10
10
00
01
11
00
01
11
00
00
01
11
10
01
00
00
11
11
10
01
00
10
00
01
10
10
10
00
00
11
00
00
00
01
00
01
10
11
10
10
00
00
10
10
10
10
10
11
01
11
00
10
10
00
00
01
11
10
10
00
01
11
00
00
10
00
00
10
11
11
00
00
00
00
01
01
11
11
11
00
10
10
00
10
00
01
10
10
01
01
11
11
10
10
10
10
00
00
11
10
01
00
10
00
01
00
01
10
10
00
10
00
01
10
10
10
01
00
00
11
10
10
10
10
00
01
00
00
00
00
11
00
10
10
10
00
10
00
01
00
10
00
01
01
00
10
00
10
11
11
10
01
01
01
11
11
10
01
00
00
10
10
00
00
10
10
00
00
01
10
00
01
10
10
10
11
00
11
01
00
01
10
10
10
00
00
00
11
10
11
01
10
00
01
00
11
11
00
00
10
00
11
11
10
10
00
01
00
10
01
00
11
01
00
00
00
00
10
01
00
10
10
10
11
10
00
11
11
10
00
10
00
00
10
11
01
00
10
10
00
10
01
10
10
11
01
01
11
00
00
00
10
01
10
01
10
00
00
11
10
00
11
10
00
00
10
11
10
00
00
01
10
11
10
00
00
00
10
10
10
00
10
11
01
00
00
10
10
01
00
00
10
11
01
11
00
11
01
10
00
10
00
00
10
10
10
10
10
10
10
01
00
01
10
00
00
10
00
00
00
10
00
01
11
10
00
00
10
01
10
10
00
00
01
01
11
00
11
10
00
01
10
10
11
00
00
10
10
01
00
11
10
00
00
11
11
10
00
11
01
11
11
00
10
10
00
10
01
01
10
00
10
10
00
00
10
01
00
00
11
10
10
00
11
10
00
01
01
10
10
00
00
11
10
01
10
00
11
10
00
11
01
01
01
10
00
10
10
10
00
01
11
11
10
00
10
01
00
10
10
10
10
01
00
00
10
10
00
11
01
00
00
10
00
00
01
00
10
01
00
10
10
01
01
00
00
10
11
00
10
00
10
10
01
10
00
10
00
00
01
10
10
00
00
10
10
10
11
00
10
10
11
01
11
10
00
00
11
10
01
00
11
00
00
11
11
00
00
11
00
00
10
11
10
01
11
11
10
01
01
00
10
10
01
10
01
01
00
00
00
00
10
01
00
11
10
00
00
10
00
10
00
00
10
10
01
00
10
00
11
11
01
10
01
00
10
11
10
11
10
10
01
01
01
00
10
10
10
00
10
10
00
00
00
11
11
10
01
11
11
00
11
01
01
00
10
01
00
10
00
10
10
00
01
00
10
10
11
00
01
10
11
00
00
10
10
01
00
10
00
01
10
00
10
01
00
01
00
11
00
01
00
10
10
00
11
10
00
11
10
00
00
00
11
10
10
11
10
00
10
11
01
10
10
00
01
01
11
11
10
01
01
10
01
00
11
11
00
01
10
10
01
10
11
11
11
00
11
00
10
00
00
11
10
10
01
01
10
00
00
10
11
11
01
00
00
11
11
10
10
10
01
00
10
10
00
00
00
10
10
10
00
10
10
00
10
10
10
00
10
11
00
00
00
00
01
11
00
00
10
01
00
10
10
10
01
10
11
00
00
00
10
00
00
00
10
00
00
11
01
01
00
01
11
10
10
00
00
10
01
11
10
10
10
01
01
10
10
10
11
00
01
00
10
10
00
11
00
00
11
10
00
00
01
10
10
00
10
11
10
11
00
11
10
01
11
10
01
00
01
00
11
10
11
11
00
00
10
11
01
01
11
10
00
00
01
00
10
10
00
01
00
00
01
11
11
11
10
11
10
11
00
00
00
00
00
10
00
00
10
10
01
11
00
00
00
10
10
10
00
11
10
01
10
11
11
11
10
01
01
01
00
10
10
01
01
10
01
10
10
10
11
00
11
00
00
10
10
10
10
10
10
01
00
10
00
00
10
10
10
00
10
01
10
10
10
00
00
11
00
01
00
00
10
11
10
00
10
10
00
00
10
11
10
00
10
00
11
00
01
00
10
10
11
00
01
10
01
10
10
11
10
00
10
11
00
11
11
10
11
00
11
10
01
00
00
10
10
00
00
11
11
00
11
00
11
10
10
11
00
10
10
10
01
00
10
01
00
01
10
00
10
10
00
00
11
11
00
00
11
10
11
00
00
01
01
00
10
01
10
10
00
10
00
10
01
00
00
00
01
00
11
11
10
10
10
00
10
11
00
00
00
10
01
11
10
10
10
01
00
10
11
01
00
10
10
10
00
00
01
11
11
00
00
00
00
00
01
01
10
10
00
10
00
10
10
00
01
10
10
11
10
10
10
01
01
01
10
11
00
01
01
00
11
10
10
00
10
10
10
00
00
10
10
01
01
11
10
01
10
10
00
00
00
10
10
00
00
10
11
10
11
01
10
11
00
01
10
10
01
11
00
11
01
00
10
01
10
10
01
01
10
10
00
00
00
10
01
10
10
01
00
11
10
10
11
00
00
00
10
01
11
00
01
01
10
00
10
10
11
10
00
00
11
10
11
10
01
01
10
00
01
00
10
10
00
00
00
10
10
00
10
00
11
10
00
11
11
01
00
00
11
01
00
11
00
01
00
11
10
00
01
10
10
00
10
11
10
00
01
00
01
00
00
01
01
10
00
10
11
10
01
10
11
10
00
00
11
00
01
01
10
00
10
10
00
00
10
10
01
01
00
00
00
10
00
00
10
00
01
10
10
10
10
00
00
10
00
00
00
01
00
11
10
00
10
00
10
10
10
00
10
11
00
01
01
10
00
00
01
00
10
10
00
10
10
10
00
11
00
00
11
10
00
11
10
00
10
00
11
01
01
11
10
00
10
01
10
11
00
00
11
10
01
00
01
10
11
10
00
11
00
11
10
00
11
00
00
10
10
00
01
10
01
00
10
11
10
10
00
10
00
10
00
00
01
10
10
00
11
11
00
11
01
01
11
11
11
10
00
00
10
01
10
11
11
00
11
10
01
00
11
10
00
00
10
10
00
00
11
00
01
11
10
10
00
01
10
00
10
10
01
00
11
01
00
01
10
00
11
11
00
00
10
00
00
01
11
10
11
00
00
11
00
00
00
10
00
00
01
10
11
00
10
10
11
11
00
00
00
10
11
10
00
01
00
10
00
00
11
00
00
10
10
00
10
11
00
10
10
01
00
10
00
00
00
01
01
10
11
00
11
10
00
00
10
11
01
11
10
00
11
00
10
00
00
10
10
00
00
10
00
00
00
01
10
00
00
00
01
00
11
01
01
00
10
10
01
01
00
00
11
10
10
10
10
10
00
11
00
01
11
00
10
11
00
00
10
10
11
11
01
00
01
00
11
00
00
10
00
10
10
00
00
01
01
01
11
11
11
00
10
00
00
11
10
01
00
10
10
00
10
11
10
00
11
00
11
10
00
00
01
10
10
10
00
11
10
00
00
00
10
00
10
10
00
00
00
10
00
00
00
11
11
11
01
00
11
01
10
11
10
00
00
01
11
11
00
10
00
10
11
10
00
00
11
00
00
01
00
01
10
01
00
10
10
10
01
00
10
11
00
11
00
11
01
10
00
10
10
01
01
11
10
10
10
01
10
10
00
01
01
00
11
10
00
01
01
11
10
00
01
00
00
10
10
11
10
00
10
00
00
00
10
10
10
00
00
11
00
11
11
00
11
11
00
10
00
00
10
10
01
10
01
10
11
00
00
00
00
10
11
00
00
10
10
11
10
11
00
00
11
00
01
00
00
10
11
10
00
11
10
10
11
11
00
10
00
10
00
01
10
00
01
10
11
00
11
11
01
00
01
01
11
01
11
00
00
01
10
01
00
01
10
00
11
00
00
10
00
00
00
00
10
10
11
10
11
10
10
10
10
10
11
00
01
01
10
10
00
10
10
01
10
10
00
00
00
10
01
00
01
00
01
11
01
00
10
00
00
10
11
00
00
10
10
11
01
10
10
01
11
00
00
10
00
10
11
01
10
11
10
10
10
00
10
10
10
00
00
10
10
01
10
00
01
10
00
11
11
11
00
00
10
11
00
00
00
00
11
10
01
10
00
01
01
10
10
00
01
10
01
10
11
10
00
11
00
10
01
00
11
00
01
00
11
00
11
10
00
00
11
10
00
10
10
01
10
11
11
10
00
00
00
11
10
01
11
01
00
00
00
10
11
00
01
10
10
10
10
10
00
01
10
01
01
00
11
10
00
00
10
10
00
00
11
00
11
10
01
00
00
00
11
00
00
10
11
00
01
10
10
11
10
10
01
10
10
00
00
01
10
00
00
10
10
10
00
10
00
10
10
00
10
00
00
11
00
11
11
11
00
01
00
01
11
10
00
00
00
11
10
00
10
11
00
00
10
00
00
10
10
01
00
10
00
10
00
01
00
10
11
00
01
10
10
00
10
01
10
00
00
00
01
11
11
00
10
10
10
10
00
00
01
10
00
00
00
01
10
00
01
11
10
10
10
10
00
11
10
01
01
10
00
11
11
00
10
11
00
10
00
11
11
01
10
10
00
10
00
10
10
10
00
00
11
01
00
10
00
00
11
01
10
10
11
00
11
11
00
10
11
00
00
00
00
10
10
10
10
11
10
10
11
00
00
11
10
00
01
10
10
00
00
10
01
00
10
10
00
10
00
10
11
10
00
10
10
01
11
11
10
01
00
00
11
10
11
01
00
11
00
11
10
10
00
10
10
00
10
11
00
10
01
00
10
10
10
00
10
00
00
00
00
10
00
10
00
01
00
10
10
10
11
11
10
00
01
10
11
11
10
11
00
01
11
01
00
11
10
00
11
11
00
01
10
10
11
10
00
10
00
01
10
11
01
00
10
10
10
11
10
01
01
11
10
00
10
00
10
11
01
00
00
00
00
01
11
10
00
10
10
01
10
11
00
00
10
11
00
00
01
10
10
00
00
10
11
00
00
10
00
10
00
10
00
00
10
00
00
10
00
10
10
10
10
00
00
10
00
00
10
00
11
11
00
10
10
00
11
01
01
10
11
10
10
10
01
10
01
01
10
00
01
00
10
10
00
00
10
00
00
00
11
10
00
11
00
10
01
11
10
00
00
11
10
10
10
11
01
10
01
00
11
11
10
10
00
00
00
10
10
00
11
11
10
00
11
00
10
10
00
00
11
01
11
10
11
10
11
10
00
00
11
10
00
10
11
11
11
00
00
00
11
00
01
10
10
01
10
10
00
11
10
00
00
11
00
00
10
11
00
01
10
00
10
10
10
10
11
00
11
00
00
11
10
10
00
10
00
10
10
10
10
00
01
10
01
01
01
01
01
00
10
00
00
10
01
00
10
00
10
10
00
10
11
10
10
00
00
00
00
10
00
00
10
00
01
00
10
00
10
11
11
00
10
10
00
10
00
01
01
11
00
01
10
00
01
00
01
00
10
10
10
10
10
10
00
11
01
00
01
00
10
00
11
11
10
01
00
00
11
10
00
00
10
11
00
00
11
00
10
11
01
00
01
11
10
00
10
00
00
00
00
10
10
11
01
00
10
10
10
11
10
01
00
00
11
00
11
11
00
11
11
01
01
00
10
00
00
01
11
10
00
00
11
10
01
00
10
01
00
01
00
00
11
00
11
11
10
00
11
01
01
10
10
00
10
00
00
10
11
01
00
10
10
10
00
00
00
00
10
10
11
01
11
01
10
11
00
10
01
00
00
00
10
11
10
10
11
00
10
00
01
10
00
00
01
10
00
01
10
01
00
01
01
11
00
00
10
10
10
00
00
10
00
00
00
11
00
11
10
10
11
11
00
10
00
00
10
00
01
10
10
10
10
01
00
10
10
10
11
10
01
11
10
01
11
00
00
00
00
00
11
01
10
10
11
00
11
10
00
11
11
10
10
10
00
10
10
10
11
00
10
10
10
00
11
10
10
10
10
01
00
10
10
01
10
01
00
00
10
10
01
01
00
10
01
00
00
11
10
00
11
11
00
00
10
10
00
01
11
10
01
11
11
01
01
11
10
00
00
10
10
00
00
10
10
10
00
00
01
10
10
10
00
11
11
11
11
01
01
10
10
00
11
01
01
10
10
01
10
10
01
00
10
00
01
10
01
00
10
10
01
00
01
10
10
00
00
10
11
10
11
00
01
00
10
00
00
00
10
00
01
10
00
00
00
10
01
10
11
10
00
01
00
10
00
00
10
10
00
00
00
00
10
10
00
00
00
01
10
10
01
10
10
00
10
11
11
01
00
01
11
10
01
00
11
11
00
00
00
00
10
10
00
11
10
00
10
10
10
10
01
10
00
00
00
00
10
01
01
00
11
10
10
01
10
11
01
01
11
01
00
10
01
00
10
11
01
11
10
11
11
00
10
11
11
10
01
01
00
01
10
10
10
00
00
11
01
01
11
11
10
11
10
00
11
10
00
00
01
10
10
00
00
10
10
10
00
00
00
11
00
01
11
00
00
11
01
10
10
01
01
11
10
00
00
10
00
10
10
00
10
10
10
10
00
00
01
10
01
00
10
00
00
00
10
01
11
00
11
10
01
01
10
00
10
01
00
10
11
10
00
11
00
01
01
10
11
00
00
00
10
11
11
10
01
01
11
00
11
11
00
00
01
10
11
00
10
00
10
11
00
00
01
00
00
01
10
10
00
10
11
01
01
00
11
11
11
10
00
10
00
10
10
00
00
10
00
10
00
11
00
11
10
00
10
11
10
10
00
01
10
11
10
00
10
00
11
10
00
00
00
00
10
00
10
00
10
10
11
10
10
01
10
00
10
00
00
01
10
10
11
00
10
01
00
00
01
11
11
10
10
10
10
11
01
01
11
10
00
00
01
00
10
11
00
00
00
11
00
10
10
00
00
11
10
00
11
00
00
10
10
00
10
10
11
11
00
11
11
00
00
00
00
10
00
01
10
01
10
01
10
10
00
00
00
10
11
01
01
10
10
10
00
10
00
10
11
10
00
10
10
00
00
00
11
01
00
10
10
10
00
01
00
00
00
01
10
10
10
10
10
10
00
01
00
00
10
00
10
10
01
10
01
00
00
10
10
00
00
00
10
11
01
11
00
00
11
10
10
01
00
10
10
11
00
00
01
11
11
01
11
10
00
00
00
10
01
01
10
10
01
00
10
01
00
10
11
01
11
00
01
00
01
00
10
10
00
11
10
00
01
00
10
00
11
10
10
00
00
00
11
00
00
00
10
01
11
10
11
00
01
10
10
00
10
00
00
10
00
00
11
10
10
10
11
00
11
00
00
10
10
10
01
00
10
10
00
00
11
10
01
10
10
01
11
00
01
00
10
11
01
01
10
00
01
11
10
10
01
01
11
00
00
00
01
01
11
10
10
00
00
00
10
01
01
11
11
10
00
00
10
10
01
01
10
11
10
01
11
10
00
00
01
10
10
00
11
10
00
10
01
00
11
00
10
00
11
10
00
00
00
10
00
01
10
10
00
00
10
00
10
10
10
00
11
00
10
10
10
11
10
00
00
11
01
10
11
01
10
10
00
10
10
00
01
10
11
01
11
10
00
00
01
00
10
11
10
00
00
10
00
01
00
00
10
01
10
11
10
10
00
00
00
01
00
11
11
10
10
00
00
00
10
10
11
00
00
01
00
00
00
01
10
10
10
11
11
00
11
01
11
11
01
00
10
10
00
00
01
00
10
10
00
10
10
10
11
00
00
10
01
10
00
11
01
00
10
10
10
11
01
00
11
01
01
11
01
10
00
00
00
11
11
01
00
00
00
10
10
11
01
01
10
11
01
10
10
10
11
01
10
00
00
10
01
00
10
10
00
01
11
11
00
01
11
01
01
10
01
00
10
10
10
10
00
00
10
11
00
10
10
01
00
10
00
00
10
00
10
00
00
11
00
00
00
01
00
10
00
11
10
01
01
10
00
01
10
01
11
10
01
11
10
01
10
00
00
10
00
10
10
00
01
10
00
10
11
10
00
10
00
01
10
11
11
00
11
10
10
11
10
01
10
00
01
10
00
00
10
10
10
00
10
10
00
01
01
11
11
01
11
01
11
01
00
00
11
10
01
00
00
10
10
01
10
00
10
10
10
10
00
01
00
10
10
11
10
00
00
10
01
11
00
00
11
10
10
10
01
00
11
10
10
00
01
10
01
11
10
00
00
10
01
00
10
00
11
10
10
11
00
10
10
10
00
10
00
00
10
00
01
10
01
00
10
10
01
10
00
01
11
10
00
00
10
01
01
10
00
00
10
01
11
11
10
00
10
00
00
10
00
01
00
00
11
11
01
00
00
10
10
01
10
10
10
01
01
01
00
10
10
11
11
01
11
00
11
11
11
10
10
10
00
10
00
00
10
00
01
00
00
01
00
10
00
10
10
01
01
10
10
00
01
10
11
00
11
01
00
10
11
11
01
00
00
10
10
10
00
00
10
10
00
10
00
10
01
10
10
10
00
00
01
00
11
10
11
10
11
10
01
11
01
00
11
00
00
00
11
00
00
01
01
10
10
00
00
11
11
01
10
01
01
10
11
10
11
00
11
00
01
10
01
00
10
00
00
11
00
00
10
01
00
10
01
11
11
10
10
10
00
00
00
00
11
10
00
11
11
10
11
00
00
11
00
00
11
10
10
11
10
10
10
00
00
00
11
01
11
00
10
00
10
10
00
10
11
01
00
10
01
11
00
11
11
01
11
00
01
10
11
00
10
10
01
01
10
00
01
01
01
11
01
00
10
10
00
01
10
10
00
11
00
00
11
00
01
10
00
10
00
01
01
01
10
00
10
10
11
11
00
11
00
01
11
10
10
01
10
10
00
00
01
11
10
01
11
01
10
10
01
00
11
10
10
10
00
00
00
00
01
11
00
00
00
11
01
10
11
00
00
01
10
10
00
00
10
01
10
00
00
11
11
00
10
11
00
00
11
10
01
01
10
10
10
01
01
11
11
00
00
10
10
00
00
10
00
00
10
00
10
01
10
11
11
00
00
01
11
10
11
10
01
10
00
01
00
00
00
11
11
10
01
10
11
00
00
00
00
10
01
00
10
01
11
00
00
10
00
00
00
00
00
10
11
00
10
01
00
00
00
11
10
00
10
10
01
01
01
11
11
11
10
00
00
11
10
11
00
00
00
00
10
10
00
01
10
10
00
00
00
11
10
01
10
00
10
01
01
00
10
01
11
10
01
10
00
00
01
11
00
10
10
10
10
01
01
00
01
11
10
01
00
11
10
10
00
10
10
01
01
10
00
10
11
11
00
00
00
10
10
00
00
00
10
10
00
00
10
11
01
01
01
01
00
01
00
11
11
00
01
11
10
00
00
10
10
00
00
10
10
00
11
00
10
00
10
10
01
11
10
10
00
10
01
01
11
10
10
00
00
10
00
00
11
01
10
11
11
11
10
00
00
00
11
00
10
11
10
11
11
10
01
00
10
11
10
00
00
10
00
00
10
10
00
00
00
10
10
00
10
11
10
11
00
00
01
00
10
11
00
00
10
01
10
00
01
10
00
11
00
01
10
10
10
00
01
00
00
10
01
00
10
00
11
10
01
11
11
00
00
01
11
00
00
00
11
01
11
11
00
11
10
00
00
10
11
00
00
11
10
10
10
00
01
01
11
10
00
00
01
00
11
00
00
00
11
10
10
10
01
00
11
10
00
11
10
11
01
01
11
01
10
10
00
01
10
10
10
00
00
11
00
11
00
00
00
00
10
11
01
00
10
00
11
10
00
10
10
11
10
10
01
10
10
00
11
11
10
01
00
01
01
01
10
01
00
11
01
00
01
10
00
00
00
10
10
00
00
00
11
11
00
00
11
10
00
01
10
10
10
10
00
00
01
00
10
00
00
01
11
10
00
11
01
01
00
10
10
10
01
10
00
10
10
00
10
00
01
00
01
10
00
10
10
00
10
00
00
11
10
00
00
10
00
00
11
11
01
10
01
00
00
00
00
00
01
10
10
00
10
00
01
10
10
00
10
00
11
00
01
10
01
11
00
11
11
10
10
10
01
00
00
10
01
01
00
01
10
01
00
01
10
11
00
01
10
01
00
00
10
11
10
00
00
10
00
10
00
00
10
10
10
00
00
00
10
00
00
11
11
00
11
10
10
10
01
10
10
00
00
00
10
01
01
00
00
11
01
10
00
01
10
10
10
11
00
00
11
00
11
01
11
11
00
00
00
11
10
10
00
01
11
11
10
11
01
00
11
10
10
00
00
01
11
11
00
10
00
10
00
01
10
10
00
11
00
01
00
00
11
01
10
00
10
11
00
10
01
00
01
10
00
10
00
00
10
00
11
10
10
11
00
10
00
01
10
10
10
00
00
00
11
00
10
00
10
11
10
10
00
10
10
10
10
00
10
00
01
10
10
01
01
10
11
10
00
10
00
01
00
01
10
00
11
10
10
11
11
00
00
11
10
01
10
01
00
11
00
11
00
00
10
10
00
01
11
10
10
01
00
11
01
10
10
00
01
01
00
00
11
00
10
01
00
10
00
00
11
11
10
01
00
11
10
00
10
10
01
00
01
10
10
11
00
00
10
11
10
11
10
00
00
10
01
00
00
10
10
00
01
10
10
00
10
11
00
10
10
01
00
01
10
10
00
01
01
00
00
00
00
10
10
11
01
00
01
01
00
00
11
10
01
10
10
00
10
00
10
00
01
10
00
11
10
10
00
11
10
00
10
10
10
00
00
01
01
11
11
00
00
11
00
00
11
10
00
01
00
10
00
10
10
11
01
01
00
10
10
00
10
11
00
11
00
00
00
00
00
01
00
10
01
10
10
10
10
10
00
10
01
01
10
10
01
00
11
00
00
10
10
01
10
10
00
10
11
11
10
00
00
01
10
10
01
10
00
00
10
00
10
00
10
00
01
01
01
11
10
11
00
00
10
10
00
00
10
10
10
01
00
10
10
10
10
10
10
00
10
10
00
10
00
01
11
10
00
10
01
11
00
11
10
10
01
00
11
10
01
00
01
11
10
11
01
10
10
10
01
00
10
11
10
01
10
10
10
00
00
00
00
10
00
10
11
10
10
00
00
11
00
10
10
01
01
11
10
01
11
10
00
11
11
10
11
00
00
00
00
10
10
00
00
11
10
00
00
10
10
11
10
10
01
00
10
10
00
11
11
01
11
10
00
00
11
00
00
00
11
01
11
10
00
01
00
11
00
01
10
11
11
00
11
10
11
00
01
10
11
11
10
10
00
10
11
01
00
10
00
00
10
00
00
10
00
00
00
10
00
00
01
11
11
11
00
11
01
00
00
11
11
00
10
10
00
00
11
10
11
10
01
01
00
11
10
00
00
10
10
00
00
01
10
00
10
01
01
10
01
00
10
00
00
11
01
00
00
10
10
00
10
01
01
10
10
00
00
10
00
11
10
10
10
11
11
01
10
10
10
10
10
00
00
11
11
00
11
01
11
00
01
10
10
10
00
01
11
10
00
00
11
00
00
01
10
00
01
10
00
10
11
10
11
00
01
10
10
00
00
00
10
10
00
00
10
11
00
11
10
11
00
11
10
11
00
11
10
00
01
00
01
11
01
10
10
00
00
10
10
11
00
11
01
10
11
11
00
00
00
10
00
10
10
10
10
00
11
01
00
01
10
01
01
10
10
10
00
00
10
10
00
11
10
00
10
10
11
00
10
00
00
11
00
00
11
01
00
10
01
00
10
00
10
00
10
00
10
01
00
01
11
11
00
01
10
01
00
10
10
10
00
01
10
11
10
00
00
00
10
00
01
11
00
11
11
00
10
01
00
10
10
00
01
10
10
10
00
00
00
11
00
00
11
00
10
10
10
10
01
01
01
00
10
10
00
10
01
11
10
11
00
00
11
10
01
01
01
00
01
10
00
01
11
10
00
00
00
10
00
01
11
11
01
10
11
00
00
10
00
00
00
01
11
10
01
00
10
10
10
11
10
01
00
00
10
10
00
01
01
01
11
10
00
10
10
10
10
11
01
01
11
00
01
00
11
10
00
00
10
10
10
10
10
00
00
10
00
01
00
00
00
11
00
10
00
01
10
00
10
10
00
01
10
11
10
10
00
10
00
00
01
11
10
00
10
00
11
01
10
00
11
01
10
00
01
10
10
00
10
10
00
00
10
10
10
10
10
10
01
10
11
00
11
10
01
00
10
00
00
00
10
10
01
00
10
00
01
00
10
10
00
00
11
11
00
10
11
11
00
00
11
10
10
10
01
00
01
11
11
01
00
01
10
00
01
10
10
10
00
00
11
11
00
10
11
10
11
10
01
00
10
11
00
00
10
00
10
10
00
10
00
00
01
00
10
01
00
00
00
10
11
00
00
01
01
11
10
10
01
10
01
10
10
01
00
11
10
00
01
11
11
00
00
11
11
00
00
01
10
11
10
01
10
10
10
00
10
11
10
00
00
00
11
10
10
00
10
00
00
10
01
00
10
10
10
00
01
10
10
01
10
01
10
10
01
10
00
01
00
11
10
01
10
10
10
11
01
01
11
11
11
10
10
10
11
00
01
00
10
11
00
11
00
00
00
11
10
10
00
01
10
10
10
11
11
00
01
10
00
11
00
10
10
01
00
10
00
00
10
00
11
00
01
11
10
11
00
00
01
10
10
10
10
01
00
10
00
11
10
00
11
11
10
11
10
01
00
10
10
00
00
10
10
01
01
10
10
10
10
00
00
10
00
00
11
11
11
11
10
10
01
00
11
00
00
11
11
00
01
11
11
00
00
01
11
00
00
01
10
10
10
00
01
00
10
10
00
01
00
01
11
00
10
10
00
00
10
10
00
10
11
10
10
10
10
11
10
11
10
11
01
01
10
00
10
00
00
10
00
10
10
00
10
01
00
11
10
10
11
10
11
00
10
10
11
01
00
10
00
01
00
01
10
10
10
11
11
00
01
10
00
11
00
10
11
10
00
01
01
00
11
10
10
10
11
00
00
00
00
00
10
10
10
01
10
00
00
10
10
10
00
00
10
10
00
10
00
10
01
10
01
10
00
00
10
10
11
10
00
10
10
10
00
00
00
10
00
10
00
10
01
01
00
10
10
10
00
01
11
11
11
01
10
10
00
11
00
00
10
11
00
01
11
10
11
00
10
10
10
00
01
11
00
01
11
00
01
00
10
10
00
00
00
01
11
11
10
01
00
00
00
11
11
00
01
01
11
10
01
11
11
11
01
00
10
10
01
11
10
00
01
00
10
00
11
00
10
11
00
00
10
11
00
10
10
01
11
11
00
10
00
00
00
10
11
00
01
10
10
00
10
00
10
00
00
00
10
00
00
10
11
11
10
00
01
11
10
11
11
10
10
00
10
10
00
10
01
00
00
00
11
00
11
00
10
10
00
00
01
11
11
10
00
11
11
00
00
10
10
00
00
01
11
11
00
10
10
00
00
11
00
00
01
10
00
00
00
10
00
10
00
00
11
01
01
11
10
11
10
10
10
00
00
10
01
10
00
11
00
00
00
10
10
10
11
01
00
00
00
10
01
10
00
10
00
00
10
00
10
01
00
11
01
00
10
10
11
01
01
11
11
10
11
10
00
11
10
10
00
01
10
10
10
00
10
10
00
10
10
00
01
00
11
10
01
10
11
11
11
01
00
01
10
00
00
10
11
01
01
00
11
11
01
11
11
01
00
11
10
10
00
00
01
10
10
00
11
00
00
10
11
00
00
10
10
01
10
01
00
10
11
10
11
11
11
01
00
01
10
10
01
00
10
10
00
00
11
10
00
10
11
10
11
10
00
10
01
01
00
01
10
11
01
00
00
11
11
11
11
11
00
00
10
00
10
11
10
00
10
10
01
10
01
10
01
11
10
11
01
00
11
00
11
10
11
00
00
10
10
00
00
00
11
11
01
00
10
00
10
00
00
10
11
00
00
11
00
00
10
10
10
00
10
11
00
00
10
10
00
00
01
01
00
10
00
00
00
10
10
01
10
11
01
10
10
00
00
00
10
10
00
01
10
00
00
10
00
00
10
10
11
00
00
11
11
01
10
10
00
10
00
01
11
10
00
10
00
01
10
11
00
01
00
10
11
10
00
00
10
10
00
01
00
10
11
01
00
10
00
00
11
10
00
11
00
01
01
11
01
01
00
00
10
10
00
11
10
10
10
01
11
01
10
11
00
10
11
00
01
10
10
11
00
00
00
10
01
10
11
00
01
01
11
10
00
00
10
01
00
11
10
10
00
10
00
00
10
10
11
10
10
00
10
10
01
00
10
00
00
00
10
01
00
10
00
00
11
11
01
00
01
11
10
00
10
11
01
10
10
11
10
00
00
10
11
10
11
00
10
11
00
00
10
10
00
01
01
11
11
10
00
01
10
10
11
00
01
00
11
10
00
00
01
10
10
00
10
01
00
01
00
10
00
11
00
11
01
01
10
10
00
10
10
00
10
00
10
10
10
10
00
11
01
01
01
00
00
11
00
10
00
01
01
00
11
00
11
10
01
00
10
10
00
00
11
10
01
10
11
10
00
00
10
11
00
10
11
10
00
01
00
10
00
10
10
00
10
11
00
01
10
10
10
11
10
11
10
10
00
10
01
10
10
00
00
00
10
10
10
11
00
11
00
01
11
11
00
11
11
00
00
10
00
00
10
10
00
00
11
00
10
01
10
10
00
00
00
10
00
10
10
01
01
00
10
00
00
00
11
10
10
00
00
00
10
00
10
10
10
10
10
00
11
10
01
11
11
01
10
00
00
00
11
00
11
10
00
00
10
10
00
01
10
01
01
11
01
10
01
11
10
00
10
10
01
00
11
10
10
00
10
10
01
00
11
00
01
00
10
10
00
10
10
00
10
00
11
11
01
10
00
00
10
10
00
01
11
00
10
10
01
10
00
01
00
01
10
00
10
00
00
11
00
01
10
10
10
10
10
00
00
00
10
10
10
10
01
10
01
11
00
10
11
10
10
10
01
10
10
10
00
00
10
00
10
00
00
10
01
10
01
00
11
11
11
11
01
10
10
10
00
00
01
00
10
00
10
01
00
01
10
11
11
01
11
01
00
11
00
01
00
11
11
01
10
00
00
10
10
10
11
10
01
11
10
00
11
10
00
11
11
10
01
00
10
10
00
00
01
01
11
10
10
10
10
11
10
10
10
10
01
01
00
10
10
01
10
00
11
11
11
11
00
00
10
10
10
10
00
01
10
01
10
01
00
00
00
11
00
11
00
00
00
10
11
10
10
01
10
11
01
00
11
10
10
00
10
01
01
10
11
01
00
10
11
01
11
00
10
10
00
10
00
10
01
10
11
10
10
10
11
10
11
00
01
00
10
10
01
00
10
10
10
11
00
01
01
00
10
10
00
01
01
00
10
01
11
00
00
10
10
01
11
00
10
10
00
00
10
10
00
00
10
10
00
10
10
00
00
00
00
00
11
00
11
10
01
00
01
00
00
00
11
10
00
01
10
10
10
10
10
01
11
10
10
00
10
11
11
00
00
00
00
01
00
10
01
10
10
10
11
01
10
10
10
01
00
11
01
11
00
01
11
10
10
01
01
11
10
00
00
01
00
10
10
00
01
11
10
01
10
10
10
01
01
10
11
00
00
11
10
10
10
00
00
00
01
00
11
00
00
00
00
00
10
10
00
10
00
11
01
10
01
00
00
00
11
11
00
10
01
00
00
11
11
11
10
01
10
10
11
11
11
00
01
00
00
10
01
01
10
01
11
11
00
01
11
10
10
00
11
10
00
11
01
10
00
00
10
11
10
01
00
01
00
00
11
10
10
11
11
00
00
10
00
10
10
01
00
00
10
10
00
10
00
00
01
01
11
11
01
00
10
00
00
00
10
10
01
00
10
11
00
00
11
00
00
00
10
10
01
11
00
10
01
11
10
01
00
10
10
01
00
11
11
00
10
10
00
00
10
10
10
00
11
11
10
01
10
00
10
11
00
00
01
10
10
11
00
10
11
10
10
01
01
10
00
01
10
11
10
01
01
10
11
01
01
00
01
11
10
01
01
00
10
10
00
00
10
11
11
00
00
00
00
00
00
00
00
10
11
11
01
00
00
00
00
01
00
10
00
01
01
01
11
11
10
00
00
00
00
01
10
10
00
10
01
00
00
10
11
10
10
11
00
10
11
00
10
01
10
00
10
10
10
10
01
10
01
11
00
10
00
01
10
00
10
10
00
00
11
01
11
11
11
01
00
10
00
01
10
11
00
00
11
10
00
11
10
01
00
00
11
10
11
10
10
00
00
01
00
01
10
00
10
01
11
00
10
11
00
11
10
00
01
11
00
10
01
01
10
10
11
10
10
01
00
10
11
11
10
01
00
00
10
11
00
10
10
01
00
00
11
00
11
11
01
11
10
10
00
11
10
10
00
00
01
10
01
11
10
01
10
11
11
10
01
00
11
10
10
01
10
10
01
01
10
01
11
10
00
11
00
10
01
00
10
00
10
00
00
11
10
10
00
10
11
01
01
10
10
00
10
00
00
00
10
11
10
01
10
11
00
00
01
00
00
00
10
11
11
00
11
10
01
00
10
10
00
01
00
10
10
00
10
10
00
10
00
11
00
11
10
00
10
01
01
01
10
10
01
01
00
00
10
10
00
10
00
00
00
10
00
00
11
10
11
11
10
01
00
00
10
01
10
10
00
10
00
11
11
00
11
00
10
10
10
00
00
01
01
10
10
11
00
11
10
10
00
00
11
10
10
10
10
10
00
01
10
01
00
00
00
11
00
01
10
10
10
01
10
11
01
00
00
10
10
10
00
10
00
10
10
01
11
00
00
10
10
11
11
01
00
11
10
10
11
11
00
11
01
00
10
01
00
11
00
00
10
00
01
01
00
01
11
11
00
11
10
00
00
10
10
00
00
10
10
00
10
01
00
00
01
10
11
00
00
01
01
10
00
00
10
10
00
10
10
10
00
11
00
00
10
10
11
11
01
10
11
00
00
10
10
00
00
11
00
00
10
00
10
00
10
10
00
00
11
00
01
01
00
00
10
00
00
00
11
00
00
01
00
00
11
00
11
10
01
11
10
00
00
10
00
10
00
00
10
11
11
00
01
11
00
01
00
01
00
01
11
00
01
10
10
00
00
10
10
00
01
00
10
00
10
01
01
00
00
00
10
11
10
11
10
00
00
00
11
11
10
01
10
11
00
10
10
10
00
00
00
11
01
00
01
01
01
01
00
01
10
11
10
11
11
00
00
11
01
10
10
01
00
11
11
00
00
10
11
00
00
11
10
01
00
11
00
10
10
10
11
10
01
10
11
11
00
00
11
11
00
01
10
01
00
10
10
00
10
10
00
01
10
10
01
11
11
00
00
00
11
00
11
11
10
11
00
11
10
01
00
01
10
01
00
10
10
00
10
00
10
10
01
00
10
11
00
00
00
00
10
11
11
00
10
00
01
01
00
10
10
00
11
11
00
00
11
01
10
01
10
10
10
10
00
11
01
01
11
01
10
10
00
00
11
01
01
00
00
10
11
00
10
10
01
01
00
10
01
01
11
10
10
11
01
11
11
01
00
01
10
00
00
10
10
00
10
11
00
00
00
01
01
11
11
10
11
00
00
10
01
00
11
10
00
11
10
10
11
00
10
00
10
10
00
11
01
10
00
10
01
01
00
10
10
00
01
10
01
00
10
00
00
11
00
00
11
11
11
10
11
10
00
00
11
11
01
00
10
11
10
01
01
00
01
10
11
00
10
10
00
10
10
10
10
10
00
10
00
01
10
01
10
00
00
00
01
10
10
00
10
11
00
10
00
00
01
01
11
01
00
00
00
00
10
10
00
00
11
11
01
00
10
00
00
11
10
00
10
00
01
11
10
10
10
00
10
01
00
10
10
11
10
01
00
00
01
00
11
10
00
10
01
01
01
10
11
00
10
10
00
10
10
01
01
00
00
01
00
10
11
11
01
10
11
11
10
10
01
01
10
00
00
10
11
01
10
11
00
10
11
00
11
11
10
10
01
10
00
00
00
00
11
10
11
01
10
00
10
10
01
10
11
10
01
01
00
01
01
11
10
00
01
10
10
00
00
10
00
11
10
10
10
00
01
01
00
01
10
10
00
11
11
10
01
00
10
00
01
01
00
10
10
11
10
01
01
10
10
10
00
00
00
10
10
11
00
00
10
01
00
10
00
00
00
10
00
01
00
10
11
11
01
00
01
10
00
11
00
10
00
10
10
11
00
01
10
10
00
01
10
00
00
11
10
11
00
01
10
00
00
01
01
11
10
00
00
10
01
10
00
00
01
00
01
11
01
00
00
00
00
10
10
11
11
00
10
00
00
11
11
00
00
01
10
10
10
00
10
11
10
00
00
10
00
01
00
00
11
10
00
10
01
00
10
10
00
10
10
01
10
10
00
01
10
11
00
10
10
01
00
10
01
11
11
01
00
01
01
00
10
00
11
10
00
01
01
11
10
01
11
00
10
10
10
01
00
10
10
01
00
10
00
01
11
11
01
00
00
11
00
10
10
00
00
10
11
10
11
10
11
00
01
10
10
10
01
00
00
01
10
10
11
10
11
00
00
10
00
00
01
00
10
00
10
01
00
01
10
10
11
10
10
01
00
11
11
10
00
11
11
00
10
01
10
00
00
01
00
10
00
00
11
00
00
11
01
00
10
00
11
00
01
10
11
00
11
10
01
00
10
00
00
10
10
01
00
11
00
00
00
10
10
11
00
00
10
00
01
11
11
00
01
10
01
11
10
00
00
10
00
00
10
00
01
00
10
10
10
00
00
00
10
10
00
11
11
00
10
00
11
00
10
10
00
11
01
11
11
00
10
11
00
00
10
11
10
01
11
01
01
00
01
11
11
00
11
10
00
10
10
00
10
01
00
10
00
01
11
10
10
00
00
10
10
11
00
00
10
00
01
10
01
01
10
00
00
10
11
10
00
01
00
10
11
11
10
10
00
00
00
00
00
10
10
11
00
00
00
10
01
10
00
00
11
11
10
01
10
11
00
00
10
00
00
10
10
00
01
10
00
10
10
11
00
01
10
10
00
00
10
10
00
10
11
00
00
00
01
10
10
10
10
00
11
10
00
10
10
00
00
01
00
11
10
10
11
00
00
10
00
00
11
01
10
00
10
10
10
00
01
10
10
00
01
00
10
01
10
01
00
01
10
10
00
00
00
10
01
11
01
10
10
00
11
11
10
00
10
01
10
00
00
01
11
10
11
01
00
11
11
11
11
00
10
10
00
00
01
01
11
11
00
01
01
11
01
10
10
00
10
10
01
00
00
10
11
10
00
00
10
10
00
10
01
00
10
10
10
00
11
00
10
10
00
00
10
00
00
10
00
11
11
10
11
01
00
10
01
00
10
11
00
10
00
11
10
11
10
00
00
11
00
10
00
00
00
01
10
00
00
00
10
10
11
11
00
01
11
10
00
01
10
10
01
01
10
01
00
11
10
01
00
10
10
01
10
11
10
00
01
00
00
11
10
00
00
10
10
10
10
11
01
10
11
10
00
01
11
00
01
11
10
11
10
10
11
00
01
10
10
11
01
01
00
00
10
10
10
00
11
11
00
11
00
11
10
00
00
10
10
00
01
11
00
01
11
00
00
00
10
10
10
00
00
00
00
10
11
10
00
01
10
00
01
10
00
00
11
00
00
01
10
10
01
01
11
10
00
10
11
00
01
00
10
10
00
10
00
10
01
00
00
10
11
00
01
10
01
00
01
10
11
10
01
11
11
00
01
00
01
00
11
10
10
00
01
00
10
10
01
10
10
10
00
10
10
00
00
10
11
10
11
00
00
10
01
01
10
00
10
11
00
00
01
00
10
10
01
10
10
10
10
01
11
10
11
00
00
00
01
11
00
10
10
00
00
10
11
01
00
10
10
00
00
01
00
00
01
11
10
10
10
10
11
00
01
00
11
01
01
00
10
10
00
10
10
00
10
10
10
01
10
10
10
01
00
00
00
00
10
10
00
01
10
10
00
00
00
00
10
00
00
10
00
11
10
10
00
00
01
01
11
11
01
10
10
00
01
10
01
01
00
00
00
10
10
01
10
11
10
00
00
00
00
10
01
11
01
00
00
10
11
10
10
10
10
00
10
00
00
10
10
10
11
00
00
11
10
01
10
01
00
10
10
00
00
11
01
01
11
10
10
11
00
01
00
00
11
00
00
00
00
10
10
00
10
00
10
01
01
11
00
11
10
00
10
10
00
10
01
00
00
00
11
11
01
01
10
00
00
01
01
10
10
00
10
00
10
01
01
10
11
00
01
00
10
10
10
10
00
01
00
01
00
00
11
10
01
11
00
01
01
11
11
00
11
00
01
10
00
01
10
11
00
11
11
11
10
01
10
01
10
10
01
00
01
10
10
10
00
01
00
00
10
00
00
10
11
01
11
10
10
01
11
00
00
10
10
11
11
01
01
01
11
00
01
10
01
01
01
00
10
11
01
10
01
00
10
10
00
00
00
00
11
01
01
10
10
11
11
00
01
00
10
10
10
00
10
10
00
11
01
11
01
11
11
00
10
10
11
10
11
00
00
00
01
11
11
11
01
00
10
11
00
00
10
11
10
01
01
11
10
00
00
00
11
10
10
00
11
10
01
00
10
01
10
01
00
01
10
10
10
00
00
00
10
10
10
00
01
11
11
00
01
00
11
00
10
00
00
00
10
10
00
00
01
00
10
10
01
11
10
10
10
00
01
10
11
00
00
11
00
00
00
10
10
00
10
10
11
11
00
11
10
00
10
01
00
00
10
10
00
10
10
11
10
00
10
10
11
00
10
00
10
00
10
01
10
00
01
10
10
00
00
10
01
01
10
00
11
01
01
00
10
00
00
01
11
00
00
11
11
11
10
10
11
00
10
10
00
01
01
01
11
00
10
01
10
00
00
10
10
11
00
11
11
00
11
10
11
01
01
01
10
10
00
01
10
10
01
00
00
10
00
10
00
00
10
01
00
10
00
11
10
10
11
10
10
10
01
01
11
11
01
10
01
10
10
00
00
11
00
10
11
00
01
11
01
01
10
10
10
10
00
00
10
10
01
11
00
10
10
01
10
10
00
00
01
11
10
00
00
01
00
10
01
10
11
10
00
00
10
00
10
10
10
11
10
11
00
00
10
01
10
10
00
00
00
01
11
01
11
10
01
10
00
00
10
10
10
01
01
00
10
11
11
11
11
01
10
00
00
10
01
01
11
00
00
10
11
00
00
00
10
10
00
00
10
01
00
01
10
00
01
00
10
00
00
11
10
00
10
10
00
10
11
00
10
10
10
00
11
01
11
01
00
01
00
00
10
10
11
00
00
10
10
01
10
11
11
00
01
01
11
11
10
00
00
10
11
10
00
01
00
00
11
01
00
11
10
10
11
10
00
00
00
00
11
00
10
10
00
10
00
01
10
00
10
10
00
00
00
00
10
01
00
11
00
10
11
01
00
00
00
10
01
10
11
10
00
00
11
10
01
00
11
00
11
10
00
10
11
01
00
00
10
00
11
10
10
01
10
01
00
11
01
10
00
00
11
10
10
00
01
00
11
10
10
01
00
10
00
11
10
11
00
01
00
01
10
11
10
00
10
01
10
11
01
10
11
00
00
00
11
10
11
00
00
01
11
00
10
10
01
10
10
00
00
10
11
10
11
01
00
01
10
01
00
00
11
10
00
00
01
10
00
01
00
10
11
00
01
10
10
10
10
00
10
01
00
10
01
00
00
00
01
11
10
00
11
10
00
10
00
10
10
00
00
10
10
11
00
01
10
00
10
01
10
00
10
10
00
11
00
11
01
00
11
10
11
11
00
00
00
00
10
10
00
11
10
10
01
11
01
01
11
00
01
01
11
10
10
01
10
10
01
11
01
01
10
01
00
10
10
11
10
00
10
00
11
00
01
10
10
01
00
11
10
10
01
01
00
00
01
10
10
10
11
11
00
10
01
01
00
01
11
00
11
00
00
01
00
10
10
10
11
00
00
11
00
00
00
10
10
11
10
10
11
00
10
10
01
00
00
01
10
10
00
11
01
10
00
00
10
10
10
00
00
10
00
01
10
10
01
01
00
00
11
10
00
10
01
00
10
10
10
01
00
01
00
01
10
01
00
11
01
01
01
01
11
11
10
01
01
11
01
01
10
11
01
10
01
00
10
00
10
10
00
00
11
11
00
10
10
10
11
10
00
10
10
00
00
01
01
11
00
00
10
00
00
10
10
00
10
11
00
00
10
10
01
00
10
00
10
10
11
11
11
00
11
00
00
00
00
10
11
01
00
11
11
10
10
00
10
10
10
00
11
10
01
00
10
01
10
01
01
10
11
10
01
10
00
01
01
00
10
01
10
00
10
11
10
00
11
10
01
00
00
11
10
01
10
00
00
11
00
01
11
11
11
01
01
01
10
11
11
00
00
11
10
00
00
10
10
00
10
00
10
00
11
00
11
11
01
11
00
10
10
00
00
00
10
00
11
11
01
01
10
10
10
00
11
11
10
00
00
00
00
00
11
00
01
11
01
11
10
10
00
00
11
10
00
00
10
01
00
00
10
10
11
10
10
00
10
01
01
10
00
00
10
00
10
11
01
10
10
00
10
10
01
10
01
00
01
00
11
10
10
11
10
10
00
00
10
10
01
01
10
00
10
00
00
10
00
00
10
10
00
00
11
11
00
10
00
00
01
00
00
10
10
01
00
00
11
11
00
00
01
00
10
10
10
10
00
00
01
11
00
00
01
10
10
11
10
00
01
11
00
01
01
10
01
10
10
00
11
10
01
00
10
10
00
11
11
00
00
01
00
10
10
10
10
11
00
00
00
10
00
01
01
10
10
01
01
01
11
10
01
01
11
00
01
10
11
10
00
00
10
00
01
00
10
00
11
00
01
00
10
10
11
01
01
11
10
00
10
00
10
01
01
10
10
01
00
11
00
00
10
10
00
11
10
00
00
00
01
11
10
00
10
01
10
11
00
00
10
11
00
00
11
11
10
10
00
00
10
00
11
11
10
00
10
01
00
10
01
10
10
00
10
00
11
10
01
11
11
00
10
01
00
01
11
11
00
01
10
10
00
11
11
01
00
10
00
11
01
11
11
01
10
11
10
00
10
10
01
10
01
00
01
10
11
00
10
00
00
00
10
00
01
11
00
01
10
10
10
01
10
00
01
01
10
10
11
10
11
00
00
00
11
10
00
10
10
10
10
00
01
01
10
00
01
10
00
01
01
01
10
00
10
11
10
10
00
10
10
10
10
01
00
11
01
00
00
00
10
11
00
01
10
00
01
11
11
10
10
10
10
01
00
11
11
10
00
10
10
01
00
00
10
01
00
00
01
11
11
00
11
00
10
00
01
10
00
00
10
10
10
00
10
10
10
10
10
10
10
10
00
11
10
01
00
11
01
01
10
11
10
00
11
11
00
10
10
11
00
11
10
00
11
10
01
11
11
01
01
10
01
10
11
00
01
10
11
10
00
00
00
10
11
10
00
11
10
00
00
00
00
01
10
10
00
00
11
11
01
00
11
11
00
00
10
11
01
01
00
11
00
00
01
00
10
11
01
01
01
10
11
10
10
01
10
10
00
10
10
00
10
01
00
10
00
11
00
11
00
10
10
10
00
11
00
01
10
00
01
01
11
10
11
00
01
10
00
01
00
00
10
00
01
10
11
10
00
00
01
10
00
11
10
11
00
00
11
10
11
00
10
10
10
00
00
00
10
10
00
00
10
00
00
00
00
00
10
00
10
11
00
01
10
10
10
00
00
10
00
00
10
10
10
10
01
11
10
11
00
10
00
00
10
01
00
10
01
00
10
00
10
00
10
11
00
10
10
00
01
01
00
10
10
01
11
11
10
00
10
10
01
10
10
00
01
11
11
11
00
10
00
10
10
10
01
00
01
00
10
00
10
10
01
10
00
01
10
11
00
10
10
10
00
10
10
00
11
10
00
00
00
00
00
00
11
10
00
01
10
11
00
10
10
00
11
01
00
10
01
00
11
11
10
00
11
00
10
10
00
10
00
01
11
00
00
10
00
01
11
00
11
10
01
01
11
00
10
00
00
00
11
10
00
01
00
00
00
10
10
11
10
01
00
11
00
01
00
10
11
00
11
11
00
10
11
00
00
00
11
01
00
00
00
00
00
11
10
11
00
01
10
10
11
00
10
11
10
01
00
11
01
11
10
01
11
11
00
00
10
10
01
11
00
00
01
01
11
10
10
11
01
01
11
01
01
00
01
00
00
10
11
01
00
01
10
00
10
00
00
00
00
11
10
00
11
00
00
00
10
10
00
01
10
10
10
00
00
11
10
10
10
10
00
00
10
00
00
10
01
01
00
11
01
01
11
00
00
10
00
01
10
11
11
10
00
00
11
00
10
11
00
10
01
10
00
01
00
00
00
00
10
01
10
00
00
10
10
11
11
00
11
10
10
01
00
11
00
00
10
00
00
00
10
11
11
01
11
11
00
00
01
10
00
00
10
00
01
10
11
00
00
01
10
10
00
00
01
10
00
10
11
00
11
01
00
00
10
01
11
01
00
10
11
00
10
00
10
11
11
00
01
01
10
00
01
00
10
10
00
00
10
01
01
01
01
00
10
10
00
10
10
00
10
10
00
10
10
10
11
00
11
01
10
01
10
10
00
10
01
10
10
00
10
01
00
00
10
00
00
10
10
10
01
01
10
10
11
01
00
11
11
00
10
11
01
10
00
00
00
11
00
10
11
11
11
10
01
01
10
10
10
00
00
10
10
00
11
11
00
10
01
00
01
01
00
10
00
00
10
00
01
10
11
00
10
10
01
10
00
00
10
00
01
01
00
11
01
01
11
01
10
01
11
11
11
01
00
11
01
10
10
00
00
00
10
10
00
11
10
01
10
11
00
10
00
10
01
11
10
00
10
10
10
11
00
10
11
11
00
10
00
11
10
11
00
00
01
10
10
00
01
11
11
10
00
10
10
00
00
11
10
11
00
10
10
01
10
11
10
00
00
11
00
11
10
10
00
10
10
11
11
01
01
00
11
00
11
00
11
10
01
10
11
00
00
10
00
10
00
11
10
00
00
01
10
01
00
11
01
00
00
11
10
10
01
10
10
11
10
00
10
11
00
00
10
10
00
11
00
10
00
00
00
11
01
11
10
01
00
11
10
01
00
10
10
00
00
10
01
00
10
00
00
00
10
10
10
10
01
00
00
10
11
00
10
10
00
11
01
10
01
00
10
10
00
11
10
10
01
10
01
11
11
00
00
11
10
10
00
01
10
10
00
10
10
00
01
01
10
10
11
11
11
01
01
11
00
01
10
10
01
00
10
10
10
00
00
11
10
01
00
10
00
00
00
00
01
01
11
10
11
00
00
10
01
10
10
00
00
00
00
00
11
01
10
11
01
10
11
01
01
00
10
11
10
00
01
11
10
10
10
01
00
10
11
11
00
11
00
00
11
10
00
01
10
10
10
11
00
00
10
01
11
00
00
10
10
00
11
00
10
10
01
00
01
01
00
01
00
01
10
01
00
11
10
10
01
00
11
00
10
10
00
10
10
00
10
00
10
10
00
10
11
01
11
10
10
00
10
10
00
01
10
10
00
00
00
10
00
01
11
01
00
01
11
11
01
00
11
10
10
00
00
00
01
11
11
11
01
11
01
00
00
00
10
10
00
10
10
10
00
00
00
10
10
01
00
11
11
00
00
10
01
00
10
10
10
01
00
00
01
11
10
01
10
00
00
01
10
10
11
01
11
11
00
00
01
00
10
11
01
01
11
00
11
00
01
10
01
00
10
10
00
10
10
10
01
00
11
00
00
01
00
00
00
00
10
10
01
10
01
00
10
00
00
10
00
01
10
00
00
10
10
10
10
00
01
11
01
00
10
01
10
10
00
00
10
01
11
10
00
10
10
10
00
01
10
00
00
00
10
11
00
00
10
00
10
00
01
01
11
10
10
01
00
11
10
00
00
11
10
01
00
10
01
01
10
01
10
10
10
01
00
10
11
00
01
10
11
10
00
00
11
01
00
10
10
00
00
11
10
10
01
10
00
00
00
10
11
11
00
00
11
10
10
10
01
11
00
10
00
00
00
10
11
01
10
00
11
11
10
01
00
10
10
01
11
01
01
11
10
10
11
00
00
10
00
10
11
10
01
10
10
00
01
11
10
11
11
10
01
00
10
01
11
01
00
11
10
11
00
10
10
10
00
00
00
10
10
00
01
11
00
00
00
10
10
11
00
00
11
00
00
00
01
10
00
00
11
10
11
10
10
11
01
00
01
10
11
10
10
00
10
00
10
10
01
10
11
10
01
10
00
00
11
00
00
10
10
01
00
10
00
11
10
00
00
00
10
10
01
10
01
01
10
10
00
01
00
10
10
01
01
00
01
01
10
10
00
11
00
01
11
00
01
11
10
10
00
00
11
00
01
00
10
11
00
00
00
10
10
10
01
01
10
00
10
01
10
11
11
11
01
00
00
10
00
01
01
11
10
10
00
00
00
00
10
10
11
01
10
00
00
01
01
00
00
11
00
10
11
10
11
00
00
10
00
01
00
00
10
00
00
10
10
00
01
11
01
11
01
10
10
10
00
10
00
01
10
10
10
00
00
10
11
00
10
10
00
10
11
00
00
00
11
00
01
10
00
10
01
01
11
10
01
10
10
10
01
10
10
00
00
01
00
00
00
00
00
01
10
10
10
00
10
01
00
11
10
00
00
10
10
00
10
10
10
00
11
00
00
01
10
00
00
00
10
00
01
10
10
00
11
10
00
01
00
01
11
00
10
00
00
10
10
01
00
11
11
00
00
01
11
10
01
01
10
10
00
00
01
00
10
10
01
01
10
10
00
00
10
01
11
11
11
01
01
00
10
10
10
11
01
00
10
10
00
00
10
10
10
10
10
10
00
00
11
10
10
10
00
00
11
00
00
01
00
01
00
00
10
11
00
00
10
11
00
11
01
01
10
10
10
11
01
00
11
11
11
11
00
01
10
10
00
00
00
11
10
00
10
11
10
10
00
00
10
01
11
10
00
01
10
01
10
11
00
00
01
01
01
10
11
10
00
00
10
00
00
00
10
01
11
10
11
10
10
10
00
10
10
01
00
11
00
10
10
00
01
10
01
00
00
10
11
10
00
01
10
10
10
01
11
11
01
00
11
11
11
00
00
11
10
10
01
01
10
01
11
11
10
11
00
10
00
00
00
10
00
01
10
10
10
00
10
00
10
11
10
10
00
10
00
00
00
10
10
11
01
10
11
11
00
00
00
00
11
11
01
11
00
00
00
01
10
10
00
00
11
00
01
00
00
11
00
10
10
11
00
00
10
10
11
00
10
01
11
11
11
00
10
00
10
11
00
01
10
10
01
01
00
11
00
00
10
00
10
10
11
00
01
11
10
10
10
00
10
00
01
01
10
11
01
00
01
10
10
00
10
11
11
00
00
11
10
01
00
00
11
11
01
00
00
10
00
10
00
10
10
01
00
10
10
10
00
00
00
10
01
01
01
10
10
11
00
00
11
10
00
00
10
10
10
11
00
10
00
00
10
00
11
00
10
10
01
01
01
10
10
10
00
10
10
00
00
10
10
01
10
10
00
01
10
11
11
00
11
10
10
01
10
11
00
11
10
10
00
10
10
00
00
10
00
00
01
00
00
00
00
00
00
11
10
00
10
10
10
00
11
10
00
00
01
01
10
00
00
11
01
01
10
00
01
00
10
11
00
00
10
10
11
00
01
11
10
10
00
00
10
10
00
10
01
10
10
10
11
10
00
10
00
01
00
10
10
00
00
10
10
00
00
11
11
00
00
11
00
00
10
11
00
10
00
10
00
00
00
01
01
10
00
11
11
00
10
01
11
10
00
11
00
10
10
01
01
10
11
00
10
00
10
10
00
11
10
11
01
00
11
10
00
10
11
00
10
11
01
10
00
10
01
10
10
00
10
00
00
00
01
00
10
10
10
00
10
00
00
00
10
10
10
10
11
10
00
10
10
00
01
10
10
10
00
10
10
11
00
10
10
11
10
10
00
00
00
10
10
00
11
00
10
11
01
10
00
01
11
01
00
11
01
00
01
10
11
00
11
01
10
00
00
00
10
11
01
01
10
00
00
00
00
01
10
10
11
11
11
01
10
00
10
10
01
01
00
11
00
11
00
11
11
01
00
11
00
10
01
00
00
10
00
00
11
01
01
10
10
10
00
11
10
00
00
10
00
10
10
11
00
10
11
10
01
01
10
00
00
10
00
10
00
01
10
11
10
00
11
11
10
10
00
01
10
10
00
10
00
10
10
01
00
01
10
11
01
10
10
00
00
10
00
10
10
10
01
00
00
00
00
01
10
11
01
10
00
00
00
10
00
01
10
10
11
10
11
01
11
01
00
00
00
00
10
10
00
01
10
00
10
10
00
00
01
10
01
10
00
00
10
10
01
11
10
00
00
00
10
10
10
00
00
01
11
00
00
10
10
00
10
11
10
00
01
11
01
10
10
00
11
10
01
10
10
00
01
00
01
10
10
10
00
01
10
11
01
00
00
11
00
00
10
10
00
10
11
10
11
10
00
10
00
00
10
00
01
01
00
01
11
00
01
10
00
10
10
00
11
10
01
10
10
11
11
10
01
00
10
10
00
00
00
10
10
01
00
00
11
01
10
10
10
00
00
10
10
01
01
01
01
10
10
11
00
11
10
01
10
00
01
00
01
11
00
00
11
10
00
01
00
10
10
01
11
10
10
01
01
11
00
00
10
10
00
10
10
00
01
00
00
10
00
10
00
01
11
10
00
00
10
00
00
10
10
11
01
01
01
11
11
01
11
10
10
01
00
10
10
01
01
10
00
10
00
01
10
00
01
10
11
10
10
10
10
10
10
01
00
00
00
10
01
10
11
11
00
01
00
10
11
11
00
10
10
00
01
10
10
00
00
00
00
10
10
00
00
10
00
11
11
10
01
10
01
10
10
01
11
00
01
10
10
00
10
11
00
00
00
10
10
01
01
10
00
00
10
11
00
00
00
00
01
01
10
11
10
00
01
11
00
10
00
00
01
10
00
00
10
10
10
10
10
10
00
11
10
00
01
00
00
00
00
01
10
00
10
00
00
10
00
10
11
00
11
01
10
10
00
00
01
11
10
01
11
00
11
00
00
10
10
10
00
10
01
01
10
10
00
00
00
01
10
10
01
01
00
10
01
00
10
00
00
10
10
10
11
10
10
00
01
00
10
10
00
10
10
11
10
00
00
10
01
00
01
10
10
00
00
11
10
01
01
10
10
10
11
11
10
00
11
10
10
10
10
11
10
01
00
01
00
00
00
11
10
11
00
11
01
00
10
00
01
10
00
01
00
00
00
01
11
00
10
10
00
00
10
01
10
00
10
10
01
00
01
01
00
00
01
10
11
10
01
11
11
01
00
00
00
00
00
00
10
10
10
00
01
00
01
00
11
01
11
00
11
10
01
10
11
00
01
10
11
00
01
10
11
00
00
11
10
10
00
01
11
10
01
11
10
01
00
11
01
00
10
10
10
00
00
00
10
10
01
10
11
00
11
00
00
00
10
10
00
00
10
10
10
01
01
10
00
01
10
01
10
10
00
10
10
00
00
10
11
00
10
11
01
01
10
00
11
10
00
00
00
10
00
11
10
11
10
11
11
10
01
00
00
11
10
00
00
10
00
10
01
00
01
00
00
10
10
00
10
00
01
10
10
01
01
10
11
10
01
10
10
10
00
11
01
01
11
10
11
00
00
11
01
00
10
10
01
01
11
00
10
00
10
00
11
10
11
11
11
10
10
01
00
10
01
00
10
11
00
01
11
10
00
00
10
10
00
01
11
01
00
10
00
10
10
10
11
00
01
00
10
01
10
10
10
01
00
00
01
00
11
10
01
00
11
11
01
11
01
10
11
10
01
01
10
10
00
10
10
10
01
00
00
10
00
00
11
00
10
01
10
00
10
11
01
00
00
10
01
10
00
00
10
11
00
10
10
00
00
01
10
01
10
10
11
01
10
11
11
00
01
00
00
11
10
01
00
11
10
10
01
00
00
11
00
00
10
10
00
10
10
00
10
00
11
10
11
00
11
10
00
11
11
11
10
10
00
11
10
00
00
11
10
10
10
00
10
10
10
10
10
00
00
10
10
10
00
00
11
10
10
10
10
10
00
00
10
11
00
00
01
01
10
01
00
11
10
01
00
01
10
11
00
00
00
10
01
00
01
10
01
10
01
10
10
01
10
00
01
10
11
10
00
00
10
00
00
01
10
00
11
10
00
00
11
10
10
01
00
00
10
00
10
10
00
10
00
01
00
00
00
11
00
01
11
00
11
11
00
10
00
00
01
10
11
01
00
00
10
00
00
00
10
00
00
01
10
00
10
10
10
00
10
10
10
00
10
01
10
10
00
00
10
01
00
10
00
00
01
10
10
00
01
01
01
00
10
11
10
00
10
01
00
11
00
10
10
01
00
10
00
00
10
11
00
00
10
00
11
01
11
10
01
01
11
00
11
11
00
00
10
10
00
00
10
00
00
01
10
00
11
01
00
11
10
11
00
01
10
01
00
10
10
00
00
10
00
11
10
00
01
01
00
00
01
10
01
00
01
01
10
00
10
00
11
10
00
10
11
10
01
00
11
00
00
01
10
10
10
01
00
11
10
00
00
11
11
10
10
11
01
00
11
00
11
01
00
01
00
10
10
10
00
00
10
10
00
10
11
10
10
00
00
00
00
00
10
10
10
01
10
10
11
10
00
00
00
00
10
00
00
01
10
10
11
10
00
10
00
10
10
10
00
01
10
10
10
01
10
00
10
00
10
10
00
01
01
10
01
11
10
00
00
10
11
00
10
01
01
00
01
00
00
00
10
01
01
11
10
10
10
10
01
10
11
00
10
00
00
00
10
00
10
11
00
10
11
00
10
10
10
10
00
10
01
01
10
00
00
10
10
11
10
10
01
11
10
00
00
10
10
10
01
10
00
01
01
10
00
00
00
11
00
10
10
01
00
10
00
01
10
10
00
10
00
11
10
01
10
00
00
10
00
01
00
10
10
00
10
01
10
00
11
00
11
01
00
10
00
00
10
11
00
00
10
00
11
10
11
10
10
10
11
10
10
01
00
01
11
01
10
10
01
00
10
10
01
10
11
01
10
10
11
00
01
10
10
00
01
11
10
00
10
00
01
10
11
11
10
01
00
00
00
10
10
10
00
00
10
01
10
10
01
10
10
10
10
10
01
01
00
00
01
00
10
00
11
10
01
00
10
11
10
01
00
11
10
00
00
00
01
00
11
10
00
00
01
00
10
11
00
00
10
10
00
10
10
01
10
11
01
10
00
11
01
10
00
00
11
10
10
01
00
10
00
01
10
01
01
10
10
00
10
10
00
00
01
00
01
10
00
11
00
00
00
01
11
10
00
10
00
11
10
00
00
10
00
10
10
00
10
11
10
00
01
00
11
11
01
00
01
01
11
11
00
00
10
10
10
11
00
00
00
10
01
00
10
10
10
00
10
10
10
11
00
00
00
11
10
00
01
01
11
10
01
01
11
01
11
01
10
00
00
10
00
00
10
11
10
11
00
11
10
11
00
01
00
10
10
11
10
00
11
10
01
01
10
10
10
01
11
01
10
01
01
01
11
10
01
00
10
01
00
10
01
01
10
10
00
00
10
10
11
00
01
10
00
00
11
10
00
00
10
10
11
00
01
10
11
01
00
01
11
10
01
10
10
00
10
10
11
10
01
11
10
10
10
10
10
00
01
10
10
11
00
10
11
01
00
00
00
10
00
00
11
01
00
01
11
10
10
00
01
10
10
00
11
00
01
10
10
10
10
00
01
11
00
11
11
00
00
10
11
00
11
10
00
00
01
11
10
01
01
00
01
10
10
00
00
10
11
00
00
00
10
10
00
00
00
00
11
00
11
00
11
10
00
10
00
10
00
00
10
00
00
00
10
00
01
10
10
00
00
01
11
11
11
01
00
01
10
10
10
00
01
00
11
10
00
00
01
10
01
01
10
10
00
10
00
10
11
10
10
01
00
00
10
01
00
10
00
00
11
11
10
01
11
00
00
10
11
00
01
00
00
10
10
11
01
00
10
10
01
00
11
00
10
00
01
10
00
11
10
10
11
11
01
00
00
00
10
10
11
00
01
11
00
00
10
01
10
10
00
00
01
10
00
11
11
00
01
00
11
01
10
11
11
00
01
00
00
10
00
00
01
00
11
10
00
00
10
01
01
10
10
00
00
11
01
11
11
10
00
11
00
10
10
01
01
01
10
00
11
11
11
10
00
00
10
00
10
11
10
01
10
10
11
00
00
00
01
10
00
00
10
00
10
11
10
00
10
11
00
01
10
10
10
00
00
10
10
00
01
11
00
00
00
10
10
00
10
01
10
10
10
00
00
10
00
00
11
00
00
01
01
11
00
11
10
10
00
01
11
00
10
10
01
01
10
11
00
00
00
01
11
10
00
00
00
11
00
01
11
01
01
00
10
11
00
00
10
10
00
01
00
10
00
10
11
10
11
00
00
10
11
10
10
00
10
10
01
11
01
10
10
10
11
10
10
01
00
11
10
00
00
00
10
01
01
10
01
01
11
10
00
01
00
11
10
10
00
11
01
01
00
10
11
01
00
00
10
00
01
00
00
10
01
01
11
00
10
10
01
00
01
11
10
10
11
10
00
10
10
01
10
10
00
00
11
10
00
00
00
10
11
00
11
10
01
10
00
11
00
10
10
00
00
00
10
11
01
10
01
10
00
10
00
00
10
10
00
11
11
11
10
00
01
10
11
00
11
11
00
10
00
01
10
10
00
10
01
10
10
10
10
11
00
10
00
10
10
00
01
01
00
11
10
10
00
10
10
00
00
01
11
00
00
01
11
10
10
10
01
00
00
10
11
01
01
00
10
10
10
00
01
00
11
10
00
01
10
11
01
00
00
00
10
11
11
00
00
10
11
10
10
00
10
10
00
00
10
11
00
10
00
01
01
10
10
00
00
10
10
00
11
11
00
01
01
01
01
11
11
00
10
11
00
00
10
10
00
10
00
00
00
10
10
10
11
00
11
11
00
00
00
10
10
00
11
10
01
10
10
11
10
00
00
00
10
11
11
10
10
01
10
10
10
10
10
00
00
00
01
00
00
10
11
00
01
11
10
10
00
00
10
00
00
11
11
10
01
01
11
00
10
10
01
00
10
11
01
00
00
01
11
11
00
01
11
10
11
10
00
00
00
10
11
10
01
00
11
11
11
00
00
10
10
01
01
01
00
11
10
00
00
10
11
10
00
01
00
10
10
10
00
00
00
11
01
01
01
11
11
00
01
10
10
01
00
10
00
00
10
10
01
01
10
00
11
00
00
00
10
01
00
10
10
01
00
00
00
10
01
10
10
01
00
10
01
00
10
00
01
10
11
10
00
00
10
11
10
01
00
01
00
11
10
00
10
01
00
10
10
00
00
00
10
00
10
11
11
11
11
00
00
10
00
10
10
00
10
11
10
00
00
00
10
00
01
01
01
01
10
00
10
11
10
10
00
00
11
10
00
10
00
00
00
00
10
00
10
10
01
00
01
00
10
01
10
00
00
10
00
10
11
10
00
01
10
11
01
10
01
00
10
00
00
11
10
10
00
01
10
01
01
11
10
00
00
11
11
00
11
01
00
00
00
10
01
00
10
11
01
00
00
10
10
11
01
00
01
00
00
10
00
11
00
11
11
11
11
10
00
11
00
01
11
00
10
10
00
00
00
11
01
00
00
10
11
10
01
00
00
10
00
01
00
01
10
11
00
11
00
01
00
11
10
01
01
10
11
10
11
00
11
10
00
11
10
11
11
01
00
11
10
01
00
10
01
00
11
10
10
10
10
00
00
00
00
10
11
00
11
10
00
00
11
00
00
10
10
00
11
10
01
00
11
01
00
01
10
10
01
01
00
00
10
11
00
00
10
10
01
00
00
10
00
10
11
00
01
00
11
00
01
00
10
10
00
10
10
10
00
00
10
00
00
10
10
01
00
00
10
00
01
00
01
00
01
10
11
01
10
10
00
10
10
11
10
01
00
10
00
11
01
00
11
11
00
11
00
01
10
11
00
11
00
01
01
11
10
01
00
10
10
01
00
10
01
00
10
10
00
00
00
00
01
11
10
10
01
10
10
01
01
10
11
01
01
10
10
00
01
00
11
00
00
01
00
10
10
00
00
10
01
10
10
00
00
00
10
10
00
00
10
00
10
11
00
00
10
00
00
11
00
00
10
00
00
10
01
00
10
10
00
01
01
00
00
00
10
01
00
10
00
10
10
00
00
00
10
00
00
01
11
00
10
10
10
01
01
10
00
11
10
10
10
00
11
10
01
00
00
01
10
00
00
00
10
10
10
00
10
10
01
10
00
01
01
01
10
10
11
00
00
11
00
01
10
00
11
10
00
01
10
00
11
00
00
00
01
11
01
01
10
01
00
01
10
10
00
01
10
01
00
11
00
01
00
10
10
01
01
00
11
10
01
01
10
11
01
00
11
10
01
01
00
00
00
10
10
01
00
00
10
00
10
00
00
10
00
01
11
00
01
00
00
00
10
10
10
00
00
00
01
00
11
00
00
01
10
01
00
10
00
11
00
00
00
10
10
10
00
00
10
01
00
00
00
10
00
11
10
00
01
00
10
11
10
10
01
01
00
00
11
10
01
01
11
10
10
00
00
01
11
10
11
10
00
00
10
01
01
00
10
10
00
11
11
01
01
00
10
10
10
01
00
10
10
00
10
01
01
10
10
00
00
11
11
01
10
11
00
10
00
00
10
11
11
00
10
10
10
11
10
00
01
10
11
00
00
00
11
10
00
00
11
00
00
00
00
10
01
00
00
10
11
11
01
10
11
10
00
10
01
11
00
10
11
00
00
00
01
10
10
00
10
01
10
01
01
10
00
10
10
00
01
10
11
10
00
10
01
00
10
10
10
11
00
10
00
10
11
10
00
11
00
00
01
01
11
00
01
01
11
11
00
00
11
11
01
00
10
00
01
10
01
11
00
00
00
00
10
00
00
10
10
00
10
00
00
01
00
10
11
10
11
01
10
11
00
01
11
11
01
00
01
11
10
11
10
01
01
10
10
10
01
00
10
10
11
00
10
01
00
01
11
00
10
01
00
10
10
00
01
11
00
00
01
00
10
10
10
10
11
10
00
10
00
10
10
10
10
00
11
00
01
10
11
10
00
10
11
00
00
10
10
00
00
10
10
11
00
11
11
00
10
10
10
01
00
10
00
00
10
10
01
00
10
00
10
00
10
10
01
00
11
11
00
00
10
00
10
01
01
01
11
01
10
10
10
10
01
10
11
00
11
10
10
00
00
00
10
11
00
10
00
00
10
10
10
00
00
10
00
10
00
00
00
11
10
10
00
00
10
01
11
10
01
00
10
10
00
11
10
00
00
01
10
00
11
00
10
00
00
00
00
00
11
00
10
00
00
10
00
10
00
11
10
10
11
01
11
00
00
00
10
01
10
00
00
10
01
00
00
10
10
00
11
01
00
00
10
10
10
11
01
01
00
01
01
11
10
11
00
01
00
00
10
10
10
00
11
10
10
11
10
10
01
10
00
11
11
10
00
00
10
11
00
01
00
01
10
10
00
10
00
01
10
01
10
10
10
01
00
11
10
01
11
10
11
00
00
00
11
11
11
11
00
10
10
10
00
00
11
10
00
11
01
10
11
00
01
00
10
11
11
10
01
10
10
01
01
10
11
00
00
01
00
00
10
00
00
11
10
00
11
00
11
00
00
01
01
00
10
11
00
11
01
11
11
10
01
00
10
00
11
10
00
10
10
00
00
11
01
10
00
00
10
10
11
00
11
11
10
10
10
00
00
11
00
11
11
10
10
10
00
01
11
10
10
10
00
00
00
10
11
11
00
01
00
01
10
00
11
00
10
10
00
01
01
01
11
10
11
00
10
00
00
10
10
00
10
10
10
10
00
00
10
00
01
01
00
10
00
11
00
00
10
10
11
10
01
00
11
10
00
00
00
10
11
01
11
10
00
00
11
10
11
11
00
10
10
00
00
01
01
11
11
00
00
01
01
10
01
01
10
10
10
10
00
00
10
01
11
00
01
10
10
10
00
01
00
00
10
10
10
10
01
00
11
11
10
11
10
10
11
01
00
10
10
00
00
01
10
11
00
10
01
11
11
00
10
10
00
00
01
11
11
00
00
10
00
10
00
11
10
00
10
01
11
00
00
11
00
00
00
11
11
11
11
00
10
10
11
00
01
10
11
10
01
00
10
11
00
00
00
10
10
00
11
10
00
10
11
00
00
11
10
00
10
01
00
01
10
10
11
00
10
10
11
11
11
01
00
10
11
10
00
01
10
10
01
10
01
01
11
10
10
11
00
00
10
10
01
00
10
10
01
10
10
01
01
11
10
10
10
11
11
10
01
10
00
10
10
10
10
00
00
00
10
10
11
10
00
00
10
00
10
10
11
10
00
10
00
01
01
00
01
00
00
00
01
10
10
01
00
00
00
00
10
00
00
10
00
00
10
00
10
10
01
11
11
11
10
01
10
01
10
11
01
10
01
00
01
00
01
11
00
10
10
10
00
00
00
00
11
00
10
01
10
01
10
10
00
00
00
11
00
01
00
11
01
00
00
11
00
00
01
10
10
10
00
10
01
10
11
00
01
11
01
10
01
00
10
10
00
11
11
00
11
10
01
10
10
10
01
10
10
10
00
10
01
00
10
00
00
10
00
00
10
00
10
10
00
11
10
11
00
00
10
10
00
10
11
00
11
00
10
00
10
01
00
11
11
00
00
10
00
11
11
00
01
01
11
00
00
11
00
10
10
00
10
10
01
10
11
00
00
11
10
00
11
10
01
10
01
10
11
00
11
11
00
11
10
10
00
10
00
00
10
10
10
00
10
00
01
11
00
00
11
11
01
01
10
01
10
11
00
10
10
11
01
01
10
00
10
01
10
10
01
10
10
01
10
10
10
00
00
00
00
10
00
10
00
11
10
00
11
01
10
11
01
00
10
01
00
01
10
10
10
10
00
00
00
01
11
00
10
10
01
00
00
10
10
10
00
11
01
00
10
00
10
00
10
11
10
00
01
11
10
11
11
00
00
00
00
10
10
00
10
00
10
10
11
10
10
00
10
00
10
01
00
00
00
00
00
00
11
01
00
11
00
11
11
10
11
00
01
10
11
00
00
00
00
00
11
00
00
10
11
00
10
00
00
10
10
01
10
01
01
00
00
00
10
10
10
11
01
11
10
10
10
10
10
01
01
01
11
00
00
10
01
10
00
00
10
10
00
00
00
00
01
11
00
10
11
01
11
11
01
10
00
11
00
00
10
10
10
10
00
01
00
10
00
10
00
01
10
00
01
00
00
10
11
00
01
01
11
10
00
01
10
11
00
01
00
11
00
00
10
11
10
00
11
10
01
01
10
01
10
10
01
10
11
10
11
01
11
10
01
10
10
11
11
10
00
10
10
11
00
11
01
00
11
01
00
01
10
00
10
10
01
10
10
01
10
00
11
00
00
00
00
10
00
10
11
11
00
01
00
00
00
00
10
00
00
10
10
01
10
11
11
00
10
10
10
01
10
10
11
00
10
10
11
00
10
10
00
01
11
10
11
00
00
00
11
10
00
10
11
00
10
00
10
10
01
10
10
01
00
01
10
10
01
00
00
00
10
10
00
00
00
01
10
00
01
10
11
10
00
10
10
10
00
00
11
00
00
01
00
10
10
10
10
00
01
00
01
00
01
01
10
10
00
00
10
11
00
00
11
10
10
00
00
10
00
11
11
10
00
00
10
00
01
10
01
00
00
00
01
00
11
10
00
10
01
01
10
10
01
10
10
10
10
00
00
00
00
00
10
11
00
10
10
01
00
01
00
10
00
10
11
00
01
11
00
11
01
00
11
00
01
00
00
00
00
00
00
01
00
10
10
11
00
01
10
01
00
00
10
10
11
11
10
01
00
11
11
10
00
01
00
10
10
00
10
10
00
01
11
10
01
00
00
11
10
00
00
01
11
10
11
10
00
01
11
00
01
11
00
01
11
10
10
10
10
00
10
00
00
11
11
11
00
01
00
00
10
11
00
10
01
00
11
00
10
10
10
00
00
10
01
01
11
00
10
10
01
01
10
00
00
10
10
10
11
11
00
01
00
01
10
10
10
11
00
00
00
10
10
00
01
01
10
10
10
00
01
10
01
10
10
01
00
01
00
00
00
11
10
00
00
10
10
10
10
11
11
10
10
00
11
01
10
01
10
10
00
10
01
10
10
10
01
00
00
00
00
11
11
10
00
10
11
10
01
10
11
10
00
10
10
00
00
10
10
00
00
11
01
11
10
11
11
11
10
00
00
01
00
10
00
00
11
01
01
11
10
10
00
00
10
11
01
00
10
00
00
01
10
00
10
10
00
10
00
11
11
10
10
00
00
10
10
01
10
11
11
10
10
11
01
00
00
10
01
10
10
10
10
00
01
00
00
11
00
00
10
10
11
10
00
01
11
00
00
00
11
00
11
10
00
11
00
01
01
01
11
00
00
11
11
01
01
10
00
11
00
11
11
01
00
00
11
10
10
00
00
10
10
10
01
01
11
01
00
10
00
10
11
00
01
11
11
00
10
00
01
00
10
01
00
11
10
10
00
10
00
01
10
11
11
10
10
10
11
00
11
10
00
10
11
10
11
10
01
00
00
01
11
00
10
11
00
01
11
11
00
00
00
11
11
01
01
10
10
00
00
10
01
01
10
11
01
10
01
01
00
10
10
00
00
10
10
00
01
10
10
00
10
00
00
10
10
10
01
10
10
00
00
00
01
11
00
11
11
01
10
01
00
10
10
00
00
00
11
10
01
00
10
00
01
00
00
10
10
00
00
00
11
10
11
11
11
00
10
10
00
10
10
00
00
11
00
11
10
01
10
11
10
00
10
10
00
01
10
11
10
00
00
10
00
10
00
01
11
10
10
00
00
11
10
11
01
00
01
10
00
10
10
01
00
10
11
00
10
10
00
10
11
01
10
10
00
10
10
11
00
00
00
00
11
00
00
11
10
00
10
10
00
10
00
10
00
00
11
10
01
10
01
00
01
00
11
00
01
00
10
10
10
00
01
00
10
10
01
01
10
00
10
11
10
00
00
10
11
10
11
10
00
01
00
00
10
01
00
00
00
11
10
01
10
11
11
11
01
10
00
00
10
11
00
10
10
11
10
00
10
11
00
01
01
11
10
11
00
00
00
10
01
11
10
01
10
11
00
11
01
10
00
00
10
10
10
10
00
10
00
11
11
01
10
10
00
11
10
00
11
10
00
00
01
01
00
10
10
00
00
00
00
10
11
00
00
10
01
10
01
10
10
10
00
00
10
01
00
10
01
00
10
10
00
10
10
00
00
00
00
10
11
11
00
01
00
00
10
10
00
11
11
11
10
00
00
00
00
00
00
10
10
00
10
10
00
00
00
11
10
00
01
00
10
11
00
01
11
11
00
10
11
10
10
00
10
10
00
11
01
01
10
10
01
01
10
10
10
01
00
10
11
10
00
00
10
01
01
10
01
11
01
00
01
10
10
11
01
00
11
10
00
00
00
11
00
00
10
11
01
10
01
10
00
10
11
00
00
10
11
00
01
11
10
00
00
00
00
00
10
10
10
00
10
10
00
00
10
10
10
00
00
00
01
10
00
00
01
01
10
01
10
01
00
00
10
00
01
00
01
10
01
10
10
00
00
01
00
11
10
01
10
00
10
11
10
01
10
10
11
11
10
10
01
00
11
00
00
10
11
00
10
10
00
11
11
01
01
01
11
00
11
10
00
01
10
10
01
00
11
11
00
00
01
01
10
10
00
10
00
00
00
01
10
10
11
10
00
00
10
00
00
10
00
00
10
10
10
00
00
00
10
11
10
00
10
01
10
10
10
01
10
11
11
10
00
10
01
00
10
01
00
10
11
11
10
11
10
11
11
10
00
10
00
00
11
01
11
11
00
01
10
00
10
00
01
10
10
11
01
11
00
10
00
10
11
11
10
00
00
10
10
11
00
11
10
01
10
00
00
01
10
10
11
10
01
11
00
11
00
00
10
00
00
10
00
00
10
11
00
00
10
10
10
11
10
00
11
00
00
10
00
10
10
00
00
10
11
10
00
10
01
10
00
00
11
10
10
00
11
00
00
11
00
10
10
00
10
00
00
11
10
10
00
10
10
00
00
11
10
01
00
10
00
00
10
10
10
00
10
11
00
10
10
11
00
00
11
01
01
01
01
11
11
11
11
00
11
00
01
10
10
00
00
00
00
11
00
00
00
01
10
10
10
01
10
11
10
10
01
10
00
11
10
00
01
00
01
00
01
10
11
10
01
00
10
00
01
10
10
00
00
00
00
11
11
10
10
01
11
00
10
00
11
00
00
01
00
11
10
11
11
00
10
10
00
01
00
10
10
01
01
01
10
10
00
10
00
01
01
10
00
10
10
01
00
00
10
10
10
00
00
01
10
01
01
01
10
00
00
11
10
00
11
10
10
10
00
00
10
11
01
01
10
10
00
10
10
10
11
01
00
00
00
10
00
01
10
01
00
00
01
10
00
00
11
11
01
01
11
11
10
01
00
11
01
10
10
01
11
10
10
11
00
00
10
10
00
11
11
00
10
10
01
10
11
00
01
00
10
00
00
10
10
11
00
01
11
10
00
01
10
01
00
11
10
10
10
11
10
10
10
01
11
10
10
10
00
00
11
00
01
10
10
10
10
10
01
01
00
10
10
10
10
00
00
00
01
10
10
01
00
00
00
00
00
11
11
00
01
11
11
10
11
11
01
10
01
00
11
11
01
10
10
01
00
11
10
00
00
10
00
01
11
10
10
00
01
00
01
01
10
10
00
00
10
10
00
10
10
01
00
11
10
00
00
10
10
00
10
01
01
10
11
10
11
01
10
10
00
00
10
10
00
00
10
10
00
01
00
01
10
11
10
01
01
00
11
00
10
11
00
01
10
00
11
00
11
00
00
10
10
00
00
10
11
01
01
01
00
00
00
01
11
00
00
10
10
00
00
00
10
10
00
11
01
00
10
10
10
10
10
00
01
10
10
01
00
10
10
00
01
10
11
00
00
10
00
00
00
10
10
00
01
00
10
01
00
11
01
01
10
10
00
10
10
00
11
10
01
01
10
01
00
00
10
10
00
00
11
11
00
00
10
00
01
10
01
11
11
00
01
01
00
00
10
10
00
10
10
10
00
11
01
11
01
00
10
00
10
10
01
00
10
11
10
10
00
10
11
11
10
01
10
10
10
01
01
11
00
01
00
01
00
11
10
00
11
10
00
00
10
10
11
10
00
10
11
00
00
10
00
01
00
11
00
11
10
01
01
10
00
00
01
00
10
00
10
10
10
00
00
00
00
00
11
00
11
10
10
10
11
01
01
00
10
11
00
00
10
10
00
11
11
01
00
10
00
01
10
00
00
10
11
00
10
10
00
01
10
10
00
00
00
10
00
10
10
01
00
10
01
10
00
00
00
10
10
00
11
00
01
00
11
00
11
00
10
10
10
10
00
01
00
11
00
01
10
11
01
11
10
01
01
10
00
01
00
00
01
11
01
01
10
00
00
01
11
11
00
11
01
00
01
10
10
01
00
10
10
00
01
00
00
10
10
11
00
10
00
10
00
00
00
00
10
00
11
10
10
01
00
00
10
10
11
00
00
10
11
10
01
01
10
10
00
10
01
01
00
00
11
00
10
00
01
11
11
00
10
00
01
00
11
10
11
00
00
10
01
00
10
10
01
10
10
10
00
01
10
00
10
11
00
00
00
01
00
01
11
00
10
11
10
00
10
10
01
01
00
10
11
01
00
00
11
00
01
00
10
11
01
00
00
00
10
10
11
00
01
00
00
10
11
10
00
00
10
00
00
00
11
00
10
01
01
10
11
10
10
01
00
11
00
00
10
00
00
11
00
00
01
10
10
00
00
11
00
01
11
11
10
00
10
01
00
10
00
01
10
10
00
10
00
00
10
10
00
01
01
11
10
00
00
10
10
11
00
01
10
11
10
10
11
01
01
10
00
01
01
10
00
10
10
00
00
10
01
11
01
01
10
01
11
10
10
10
00
00
10
00
00
10
01
00
00
10
01
01
00
00
10
11
01
01
10
00
00
11
10
00
11
10
01
10
11
00
11
11
00
00
01
10
10
10
00
10
11
00
11
00
00
01
10
00
01
00
00
10
10
10
11
00
01
10
10
00
10
00
01
10
10
01
01
10
00
10
00
01
00
10
10
10
01
00
11
10
10
10
00
10
00
10
10
00
00
10
11
01
11
11
00
11
01
00
00
00
10
11
10
00
10
00
11
11
00
10
00
01
11
11
00
01
10
00
00
01
11
10
01
00
00
10
00
01
10
11
01
01
00
00
00
10
10
01
11
10
01
00
10
00
10
01
00
00
00
11
10
10
01
00
10
11
00
00
10
10
10
11
11
01
01
00
10
10
00
10
10
10
00
00
00
10
10
00
10
10
00
11
10
11
00
01
10
00
01
11
01
01
00
01
10
10
00
11
10
00
10
11
10
00
01
10
10
10
00
11
11
00
10
01
01
10
11
00
10
00
10
10
00
10
11
00
00
11
01
00
11
01
11
11
11
00
00
01
10
00
01
10
10
11
00
01
11
10
00
10
10
00
10
11
00
00
10
00
01
00
00
11
01
11
00
01
10
01
00
10
11
00
10
10
00
00
00
11
01
11
10
10
11
10
01
00
01
10
10
00
01
01
10
10
01
01
10
00
01
10
10
01
00
10
00
01
10
11
00
00
00
10
10
00
00
10
00
01
10
10
00
01
00
10
01
00
00
11
10
11
11
00
00
10
10
00
11
00
01
10
10
00
11
00
01
00
10
11
00
10
10
11
00
11
10
00
01
10
01
00
11
00
01
10
01
10
10
00
00
00
10
00
00
11
10
00
00
00
10
10
00
10
10
10
00
00
11
10
01
01
01
10
11
00
10
01
01
01
10
10
01
01
10
10
00
01
10
10
10
10
00
10
01
00
10
11
10
10
10
00
00
00
01
10
10
11
00
01
10
01
11
01
11
10
00
00
01
11
10
01
00
11
11
01
10
10
10
00
01
00
00
11
10
10
10
10
00
00
00
00
01
11
10
10
10
11
10
00
00
00
00
10
10
00
00
10
11
01
10
10
10
11
00
00
01
00
01
01
00
11
00
11
11
10
01
00
10
00
00
11
11
00
00
00
10
00
10
10
00
01
11
11
00
00
11
11
11
01
10
11
00
01
01
00
10
10
00
10
10
00
10
00
00
10
10
00
11
10
01
00
10
00
00
10
10
10
00
01
10
01
10
01
00
00
10
01
00
01
10
10
00
00
00
10
10
01
00
00
11
10
00
00
01
10
10
00
11
11
01
10
00
00
00
01
11
11
10
00
01
00
01
10
01
00
01
00
10
11
00
00
00
11
11
00
10
00
10
10
10
10
01
00
10
11
10
11
01
00
10
10
01
00
11
10
00
01
00
00
00
00
10
00
11
10
11
11
10
11
10
10
10
10
00
00
00
10
10
00
10
00
10
00
10
10
00
11
11
00
00
00
10
01
10
01
11
10
00
01
01
01
00
10
10
10
01
11
10
01
00
01
10
00
00
10
00
00
10
01
11
10
00
00
00
10
10
10
10
10
00
00
11
00
01
00
10
10
00
00
00
00
11
00
01
10
11
10
10
10
10
10
00
01
00
00
11
10
01
10
11
00
01
10
00
00
11
11
01
01
11
11
11
10
11
00
01
10
01
00
10
01
10
00
01
00
00
10
00
00
10
10
10
00
00
00
00
11
00
11
10
11
00
01
10
11
11
00
00
10
10
10
00
00
10
10
00
00
00
00
11
11
01
11
00
01
01
01
10
11
00
10
00
01
10
01
10
10
10
00
10
11
01
00
01
11
11
10
10
10
10
10
00
01
10
01
00
10
10
00
00
00
00
10
11
11
00
01
11
00
01
10
00
11
10
00
10
00
00
01
11
11
00
00
10
11
00
10
11
00
10
11
00
00
10
11
11
00
01
00
11
10
00
10
10
00
00
01
10
11
10
00
00
00
10
00
00
10
11
00
00
10
10
01
01
10
10
00
00
10
00
00
01
10
01
10
10
11
11
10
00
01
10
00
00
10
10
00
00
01
00
01
10
01
01
01
10
00
01
10
10
10
10
00
00
01
01
11
10
11
00
10
01
00
01
11
11
00
01
10
11
01
01
11
10
11
01
10
11
00
01
00
00
11
10
11
00
01
11
00
10
10
10
00
10
10
00
11
11
10
00
10
01
00
00
00
10
10
00
10
11
00
01
01
00
11
00
10
10
01
00
10
10
00
11
01
00
00
00
10
11
10
11
10
01
00
11
00
00
10
11
10
11
00
00
11
00
10
00
10
10
00
00
01
00
10
11
11
01
11
10
00
10
00
00
10
10
11
00
00
00
00
10
11
11
10
10
00
10
01
10
00
11
10
00
10
11
11
01
11
10
10
00
01
00
00
10
10
10
00
10
00
00
11
11
10
01
00
10
00
10
10
00
10
10
00
10
00
11
01
00
01
10
00
00
10
00
10
01
10
01
01
01
00
00
10
10
00
11
11
00
10
11
10
11
00
01
10
10
00
11
00
10
10
01
01
00
10
11
10
10
10
00
00
10
10
00
11
10
00
11
10
11
10
00
01
00
01
10
11
00
11
00
00
00
11
10
00
00
10
00
00
10
00
01
10
01
00
00
10
00
10
11
01
00
00
00
00
11
11
00
00
10
00
10
10
00
01
00
10
10
00
00
00
00
10
10
00
10
10
00
00
10
11
10
10
00
01
01
01
01
01
10
11
01
00
01
10
11
10
11
00
10
00
00
10
11
01
00
00
11
10
01
01
10
11
10
11
01
11
10
00
11
10
10
01
11
01
10
10
11
11
00
00
11
00
00
10
01
10
10
01
11
00
00
10
10
11
00
10
00
10
11
10
00
00
10
10
01
00
01
01
00
00
10
10
00
10
11
00
00
10
11
10
10
10
00
01
11
00
10
11
11
00
00
10
01
10
01
00
01
10
00
01
10
10
00
10
11
00
00
10
01
00
10
10
11
01
00
11
01
11
11
11
01
10
10
00
00
00
10
10
10
10
01
00
11
11
00
10
10
10
11
00
00
01
10
10
01
00
10
01
00
00
01
11
10
11
01
10
10
00
01
10
00
00
10
10
00
00
00
00
10
10
10
01
11
10
10
00
00
10
10
10
00
01
00
11
01
00
01
10
11
10
01
01
11
11
00
00
00
10
10
11
00
01
10
10
00
01
00
01
11
10
00
11
10
01
00
10
11
00
00
00
01
11
00
10
10
00
01
10
11
00
00
01
00
00
01
00
10
01
11
10
00
01
00
00
10
11
01
11
00
11
11
10
10
00
11
11
01
10
11
00
00
00
10
00
00
00
11
00
10
10
01
00
00
10
10
01
01
11
00
10
10
00
00
01
10
01
10
10
00
00
10
11
10
00
00
10
10
00
11
10
10
00
01
10
10
00
00
10
10
01
01
10
00
00
10
00
00
10
01
00
11
10
01
10
00
10
10
00
01
10
10
10
01
10
01
00
01
00
11
00
10
10
00
00
10
00
00
00
10
10
11
10
00
01
00
00
01
01
10
10
01
10
11
10
00
10
11
11
01
00
10
10
10
00
10
01
01
00
11
00
10
11
00
11
00
01
01
10
10
10
10
00
10
00
10
11
00
01
00
01
11
11
00
00
00
10
00
11
01
00
00
00
01
10
10
01
10
10
01
00
10
11
00
00
00
10
00
00
11
10
11
00
10
11
00
10
01
00
10
00
00
11
10
11
10
10
01
00
00
10
10
00
10
00
00
10
00
01
00
10
00
11
10
10
00
00
10
11
00
11
10
10
10
10
11
00
00
11
00
00
00
01
10
11
01
00
01
00
00
00
00
10
10
10
01
10
11
00
00
00
11
11
00
00
11
10
00
11
00
10
11
00
01
00
10
11
01
11
11
00
10
01
00
00
10
10
00
10
10
10
10
10
10
10
01
00
00
00
00
00
11
00
00
10
00
11
10
01
11
11
00
00
10
11
01
01
10
11
00
10
10
01
01
11
10
00
10
11
10
10
00
11
10
11
00
00
00
00
01
00
00
10
11
00
00
00
10
10
01
11
01
00
10
01
10
00
10
10
00
00
01
10
10
00
00
00
00
10
00
00
10
00
00
01
11
00
00
10
01
00
10
10
10
01
10
10
00
01
11
01
00
01
00
11
00
10
01
01
00
10
01
11
11
00
11
01
11
10
10
00
00
00
10
10
00
10
10
10
01
00
10
11
01
10
00
00
11
11
00
01
01
00
10
00
01
11
11
00
11
11
01
00
10
00
00
11
10
11
00
01
10
10
10
00
01
10
10
10
10
00
00
10
00
10
10
01
11
10
01
10
00
11
11
10
10
01
00
01
10
00
11
11
00
10
01
00
01
10
10
00
00
01
10
10
00
10
00
11
00
00
01
00
01
00
00
10
10
10
00
00
10
10
11
10
10
10
01
01
00
10
00
10
00
10
10
01
10
11
10
01
00
01
11
11
01
00
01
10
00
01
00
10
10
00
11
01
00
11
10
00
00
11
11
11
00
00
10
00
10
00
01
11
00
00
01
00
01
10
10
10
10
00
00
00
11
10
00
00
10
10
11
10
01
10
11
11
10
00
11
10
11
01
01
10
10
11
10
10
01
01
11
10
01
10
10
11
01
00
10
11
10
10
01
00
00
11
10
11
11
11
11
10
00
01
00
10
10
00
11
00
10
10
01
01
10
10
00
10
10
00
01
11
01
00
10
10
00
10
11
11
00
01
10
10
10
01
11
01
01
10
00
00
11
00
00
10
10
00
00
00
01
00
00
10
00
01
01
10
10
10
00
00
11
01
00
01
00
11
00
10
11
00
10
00
00
11
00
01
10
00
10
01
00
11
00
01
11
10
11
11
11
10
00
00
00
00
10
00
00
10
00
10
01
01
00
10
11
00
00
10
10
10
00
10
10
11
00
00
00
11
10
00
00
11
10
01
00
10
10
01
10
10
11
00
01
11
00
00
10
11
10
01
00
11
10
01
10
10
10
00
01
00
01
11
00
01
10
00
00
00
10
10
00
00
10
10
11
00
10
10
01
11
10
00
00
10
11
11
01
01
10
10
10
01
00
10
11
01
00
11
00
01
00
00
10
11
00
00
01
00
11
11
11
11
10
00
00
01
10
00
00
00
10
10
00
10
00
01
10
00
10
11
00
00
11
01
10
11
00
10
10
00
10
10
10
00
11
10
00
11
01
01
00
10
01
00
10
10
11
00
01
10
11
01
11
00
11
11
00
00
11
10
00
00
01
00
10
00
10
11
01
10
11
01
00
10
01
00
00
01
10
00
01
11
11
10
00
11
10
00
11
01
01
10
10
00
10
11
00
00
10
10
00
00
01
00
01
00
00
10
10
10
00
00
11
10
10
11
00
11
00
11
00
00
10
10
11
00
00
00
10
10
01
10
10
00
11
00
10
10
00
00
10
00
10
11
00
01
00
01
00
11
10
01
10
10
00
00
10
11
10
00
10
11
01
00
00
10
10
10
10
01
00
10
11
00
11
00
00
10
00
00
10
10
10
01
01
11
01
10
00
00
11
00
10
10
11
01
00
01
11
00
11
10
00
00
10
10
10
00
01
10
11
10
01
10
11
01
01
10
10
10
00
00
10
00
00
10
01
01
10
10
01
01
10
11
10
10
00
01
00
00
10
10
10
11
01
00
10
10
00
11
10
10
10
00
11
10
10
00
01
11
00
10
00
01
01
11
01
10
11
00
10
01
10
10
00
01
00
01
11
01
01
10
10
00
10
10
00
00
10
11
00
00
00
10
01
00
11
01
00
11
10
10
01
11
10
00
01
10
00
10
01
10
10
10
10
01
01
11
00
10
00
00
11
00
01
11
00
10
10
11
11
01
01
10
10
10
10
10
00
00
10
10
00
00
10
01
00
00
00
01
10
00
01
10
11
00
11
10
00
10
00
10
11
01
01
11
01
11
00
00
11
11
00
01
10
10
01
10
10
00
00
00
11
00
00
00
10
10
01
00
10
11
00
00
10
00
11
00
00
11
10
10
00
10
01
10
11
00
00
00
10
11
01
00
10
01
10
00
01
00
10
00
01
01
10
10
10
11
10
00
10
00
00
01
00
11
01
10
10
10
11
00
00
10
11
00
10
00
10
10
01
10
10
00
00
00
11
10
10
10
00
10
10
00
00
01
01
00
10
01
00
10
01
11
00
10
11
10
01
10
11
10
11
11
00
10
10
01
00
01
11
11
10
10
00
00
11
11
00
11
10
01
01
00
10
01
10
11
11
00
00
01
10
11
00
01
10
10
11
00
10
10
00
00
01
10
10
00
10
00
00
11
10
11
00
00
10
10
10
10
10
01
10
10
11
01
10
11
00
10
00
00
00
11
00
01
00
10
00
10
10
11
10
01
01
00
00
01
10
10
00
11
10
01
01
01
10
11
00
10
11
01
01
01
10
01
10
10
00
00
11
01
10
01
11
10
10
01
11
10
10
10
00
00
01
01
11
10
11
00
10
10
01
10
01
00
10
01
10
11
00
00
10
11
00
00
11
11
01
00
00
11
01
10
00
00
10
00
10
01
10
00
00
00
00
01
11
11
10
01
00
11
00
11
00
01
00
10
11
00
00
10
11
00
10
00
00
10
10
01
00
10
10
11
11
10
01
00
10
11
00
00
10
00
01
00
10
00
11
00
01
11
00
11
10
10
10
10
00
00
10
00
10
10
10
00
00
10
01
00
00
00
00
00
11
10
01
00
11
10
00
10
10
01
01
10
10
10
10
00
01
00
10
00
00
10
01
00
00
10
01
10
01
00
11
10
00
10
00
10
00
01
10
00
10
01
11
01
01
10
11
10
00
10
00
01
00
01
10
10
00
01
11
00
00
01
10
10
00
10
10
00
00
00
11
10
10
11
00
10
00
00
11
11
00
00
00
11
10
01
00
00
10
10
00
01
01
10
00
11
10
10
00
11
01
11
11
11
10
10
00
00
11
11
10
00
00
10
10
01
01
11
10
11
10
11
00
10
10
01
01
00
00
10
00
00
10
01
00
01
10
10
00
10
00
01
00
10
11
00
10
00
10
11
00
00
11
01
00
01
01
01
01
00
00
10
10
10
10
01
01
10
10
10
10
10
10
11
00
00
00
11
11
11
10
00
10
00
11
10
01
00
01
00
10
11
10
11
01
01
10
00
01
11
10
01
00
10
00
01
01
11
10
10
01
00
01
00
00
00
11
10
10
00
00
01
10
10
10
01
00
00
10
00
00
01
00
11
10
00
10
10
10
01
00
01
00
10
10
10
11
10
10
00
10
00
10
11
00
10
00
01
11
10
11
00
10
10
00
10
11
01
00
10
10
11
11
11
00
01
00
01
00
10
10
00
00
10
01
10
10
10
00
00
00
11
11
00
10
10
00
01
10
00
00
10
10
01
00
11
10
10
00
10
01
00
00
10
00
00
11
10
01
00
10
01
11
00
10
00
00
10
00
00
11
10
00
11
10
01
00
10
00
00
01
10
11
00
11
00
10
00
11
01
01
00
11
10
01
10
00
01
11
10
11
00
00
10
10
00
10
01
11
00
00
11
01
00
10
10
01
01
00
11
10
10
00
00
01
00
01
10
00
00
11
10
01
00
11
10
10
10
01
00
10
10
00
10
10
00
00
00
11
11
10
00
00
10
10
11
01
00
10
10
11
10
01
00
00
11
00
10
00
00
11
00
00
10
01
01
01
00
10
10
10
10
01
00
01
10
00
01
10
10
10
01
10
01
01
01
11
11
00
00
00
11
11
01
01
10
01
01
10
10
11
01
00
10
11
10
11
10
01
10
10
10
01
01
10
00
00
00
11
11
11
00
10
10
00
10
01
10
11
00
10
00
10
11
10
01
00
10
10
11
10
01
00
11
00
00
10
10
00
00
10
10
00
01
00
00
00
10
10
00
11
01
10
01
01
10
00
00
10
01
01
11
00
00
11
10
10
00
11
10
10
11
00
10
00
00
01
00
01
10
11
11
01
00
10
00
00
00
10
11
00
11
00
11
00
10
10
10
01
00
11
10
11
01
11
11
00
00
10
00
10
00
00
10
11
01
11
10
10
10
10
00
10
00
00
10
11
11
10
11
10
11
01
10
10
00
11
10
10
10
00
11
01
11
11
00
10
01
00
10
11
00
00
11
10
11
10
10
01
10
11
00
00
01
10
01
00
10
11
10
00
00
01
00
11
01
00
10
00
00
10
11
00
10
10
11
10
11
10
00
00
11
11
10
00
00
10
10
10
00
00
00
10
00
01
10
11
11
10
10
01
01
10
01
01
11
11
00
00
10
11
01
00
11
10
11
00
10
01
11
00
01
00
10
01
00
00
10
11
01
00
01
10
00
00
00
00
10
10
00
00
11
10
00
00
01
10
00
10
10
11
01
11
11
10
00
00
11
10
00
00
00
00
10
00
00
01
00
00
10
11
11
10
10
00
00
11
10
01
10
10
11
10
00
01
00
10
00
00
10
00
01
11
10
01
00
10
00
10
11
10
01
01
10
10
10
01
00
01
10
00
00
01
00
11
10
10
10
00
01
00
10
10
11
00
10
01
00
00
11
10
00
10
10
11
10
01
00
10
11
10
00
10
10
00
11
10
01
11
10
00
00
00
11
00
00
01
11
10
00
11
01
10
10
10
00
11
10
01
00
10
00
01
01
10
00
10
00
00
11
10
11
10
10
00
10
10
01
01
10
10
00
01
00
11
01
10
01
00
10
10
01
00
10
00
01
11
00
10
10
00
01
10
10
10
01
11
00
00
10
10
10
11
01
00
10
10
01
01
10
00
10
00
11
10
01
10
11
00
11
10
01
00
11
10
10
10
01
00
10
10
01
10
11
10
00
00
11
10
01
11
10
10
00
00
10
10
00
10
11
01
11
00
00
11
00
00
10
10
10
11
00
00
11
00
11
01
00
11
00
10
10
00
01
11
10
01
10
11
01
10
10
10
01
00
00
10
11
10
00
10
10
00
10
00
01
00
10
11
10
11
00
00
11
10
10
00
00
11
10
10
00
00
01
00
10
00
00
10
01
10
10
10
00
00
10
00
10
10
00
10
11
00
10
00
00
10
11
00
00
00
10
11
10
10
11
10
10
10
11
01
01
10
10
10
01
11
01
00
10
11
11
01
01
00
10
00
00
10
00
00
01
11
10
11
00
11
00
01
00
01
10
11
00
01
00
10
10
01
10
11
00
00
00
10
00
10
10
00
00
10
10
00
00
10
01
00
00
00
10
01
01
01
10
00
10
00
10
10
00
00
11
10
10
10
00
10
11
11
00
11
00
01
00
00
11
11
01
10
00
01
00
10
01
10
11
01
10
00
01
01
01
01
10
10
00
00
00
11
11
11
00
00
10
10
01
01
10
11
10
10
10
10
00
10
10
00
00
10
10
00
11
00
00
00
10
11
10
10
01
01
00
10
00
01
00
10
10
11
00
01
10
00
00
01
10
11
01
11
10
00
00
10
10
00
00
01
10
10
10
10
10
01
01
11
11
00
10
00
11
11
01
01
10
00
01
10
10
11
00
01
11
10
00
00
11
01
10
10
00
00
00
10
10
11
11
11
11
11
10
10
00
00
10
10
01
00
11
00
00
10
11
00
00
00
10
00
10
00
11
00
01
11
00
01
00
00
10
01
00
10
10
00
11
10
11
00
00
01
10
01
10
10
10
10
00
00
00
11
10
00
00
00
00
10
10
11
00
01
11
00
10
01
00
11
10
11
10
10
00
01
00
10
00
10
00
00
11
10
00
10
10
00
01
11
01
00
10
10
10
11
01
00
10
10
01
11
00
10
11
01
11
01
00
10
10
01
00
00
11
10
11
00
11
10
11
10
10
00
00
10
00
01
10
01
01
00
00
00
11
10
00
00
00
10
10
00
10
01
00
11
00
01
10
11
10
10
10
01
00
01
10
11
00
11
10
00
01
01
10
10
00
00
01
10
10
10
01
00
10
11
10
01
00
01
10
00
00
11
01
00
00
00
00
01
10
01
10
00
10
10
10
11
00
00
10
10
10
00
00
10
10
10
01
00
00
00
10
10
10
00
00
10
11
10
11
00
11
00
00
10
10
00
00
00
01
11
11
00
10
01
01
00
10
10
00
00
00
10
00
10
01
11
11
11
00
10
00
10
10
01
01
11
00
00
11
10
00
10
11
10
00
11
11
10
10
10
10
00
11
01
00
11
10
11
00
00
10
11
00
00
00
10
10
00
00
11
01
00
11
10
01
00
10
10
10
00
00
00
00
10
11
10
00
00
00
11
00
00
10
10
10
00
00
11
10
01
00
10
11
11
01
10
00
00
00
11
10
00
00
10
00
00
10
10
10
10
10
01
10
00
00
10
10
11
01
01
00
11
01
00
10
11
00
00
01
00
10
10
01
11
11
10
00
11
00
10
00
01
10
10
10
10
11
11
10
00
00
00
10
11
10
00
00
11
10
00
01
10
11
00
00
10
01
00
11
10
00
11
00
01
00
11
10
11
00
10
00
00
01
10
01
00
00
01
01
00
11
00
00
10
10
10
00
00
10
10
00
10
11
01
01
01
10
10
10
00
00
10
10
01
00
01
10
10
01
10
01
11
10
00
10
01
01
00
10
10
10
00
10
00
01
10
00
00
00
10
11
00
11
01
10
00
10
00
10
10
00
00
01
11
01
01
10
00
10
10
11
10
00
01
01
00
11
00
11
01
01
00
11
10
00
10
01
00
01
10
10
01
10
10
01
11
10
11
00
11
10
00
01
10
01
10
01
00
00
00
10
10
00
11
10
00
11
10
11
10
11
01
10
10
01
01
11
10
00
01
10
01
00
10
00
11
10
00
01
10
10
11
00
01
01
00
10
01
00
11
10
10
00
11
00
01
11
00
11
00
10
11
11
01
01
00
11
00
00
10
00
01
10
10
00
00
10
00
00
10
11
00
11
10
01
10
11
11
00
01
10
00
11
01
00
01
00
10
10
00
11
00
10
00
01
00
00
00
10
11
01
01
00
00
11
00
10
10
00
01
00
10
11
00
00
00
00
10
01
00
10
11
00
00
10
01
01
00
01
00
10
10
00
10
10
10
00
00
00
00
00
01
10
00
01
00
10
10
11
10
10
10
00
10
11
01
00
11
10
10
10
10
10
10
00
00
00
10
10
00
00
10
00
00
00
00
00
00
00
11
10
01
00
00
00
00
10
00
10
10
00
10
10
00
11
10
00
01
10
00
00
00
11
11
00
11
00
11
11
00
01
11
10
01
11
01
01
10
10
11
01
01
10
11
01
11
10
11
01
00
11
00
10
11
00
00
11
10
01
01
10
11
00
00
10
10
00
00
00
11
10
10
10
10
00
10
10
01
01
01
01
11
10
10
10
01
10
00
01
11
10
01
10
10
10
10
10
01
10
01
00
01
10
11
10
10
11
01
01
10
00
00
00
10
11
10
10
00
01
01
10
01
00
00
11
00
01
10
00
00
01
00
10
10
01
00
00
10
00
11
10
01
10
01
00
00
10
10
00
00
10
11
00
11
00
10
00
01
10
10
00
00
00
11
10
00
01
10
00
10
00
00
00
00
10
11
11
01
10
10
00
11
01
00
11
10
10
10
11
00
01
10
00
00
00
10
11
00
11
10
00
00
00
00
10
10
01
00
10
00
00
10
10
00
10
01
10
00
00
00
10
00
10
10
10
01
00
10
10
10
10
10
01
00
00
10
10
00
00
11
11
10
00
00
00
11
00
11
00
00
11
10
01
00
11
11
00
11
10
10
00
00
00
11
01
00
10
01
01
11
10
10
10
00
00
00
00
10
01
10
10
10
00
00
11
10
00
10
00
01
10
00
00
00
00
11
10
01
11
01
11
01
10
10
00
01
10
01
00
11
11
10
00
10
00
00
00
00
10
00
00
00
10
10
10
11
01
10
10
10
00
01
10
00
00
10
10
10
10
11
00
00
10
00
01
10
00
11
00
00
01
01
10
11
10
10
10
00
01
00
01
10
01
00
00
10
11
01
00
10
10
01
10
10
11
00
01
01
10
10
10
01
00
01
10
10
00
01
00
10
10
00
01
01
01
01
10
11
10
10
00
01
10
10
01
11
00
10
11
01
11
00
10
00
00
10
10
00
10
00
01
11
10
00
11
10
00
01
10
01
11
00
01
11
10
01
10
10
00
01
10
11
10
01
10
11
10
01
00
01
01
11
10
10
10
00
11
11
10
01
01
00
00
00
10
10
00
00
10
01
01
10
10
00
00
10
00
00
11
11
00
10
00
00
10
01
10
00
01
00
11
11
11
10
10
10
11
01
01
10
11
00
00
00
10
01
10
01
00
01
00
10
10
10
10
10
01
11
01
10
00
11
11
00
01
10
10
11
10
11
00
00
00
10
00
00
00
10
00
10
11
10
11
00
01
01
01
10
00
00
11
10
01
00
10
11
10
00
01
01
11
01
00
11
00
00
10
00
00
10
10
00
10
00
10
11
11
00
00
00
00
00
10
11
10
10
00
01
00
00
00
01
10
11
00
11
00
10
10
01
10
00
00
11
01
00
10
10
01
10
10
01
10
10
11
00
01
10
11
11
10
00
00
10
10
10
01
00
10
01
00
10
10
10
10
10
01
01
01
00
00
00
00
00
01
01
11
00
00
10
10
10
01
10
11
11
00
00
10
10
00
00
10
10
00
00
00
00
10
10
10
11
10
00
00
10
10
00
10
00
00
01
10
00
10
11
00
01
10
00
10
10
10
11
00
11
10
01
00
01
10
10
01
11
00
00
00
10
11
10
00
10
10
01
11
11
10
10
10
01
00
01
00
10
10
10
10
00
01
10
00
10
11
11
00
00
11
00
00
10
10
10
00
10
01
00
01
00
10
11
10
10
01
10
00
11
10
00
00
10
10
10
10
11
01
00
00
11
00
11
01
01
01
10
01
01
11
01
10
10
00
10
11
11
01
00
11
10
00
00
10
11
10
11
00
01
10
00
01
01
00
10
11
10
00
00
10
01
10
00
01
00
00
11
01
00
10
11
10
11
00
00
10
11
10
11
10
00
00
11
00
11
11
01
10
01
01
00
01
10
11
00
01
10
11
00
10
10
00
00
10
10
00
00
10
10
00
00
00
10
10
10
10
11
11
00
10
10
00
11
01
11
11
00
01
00
10
10
11
01
00
00
10
00
01
00
11
10
00
10
10
10
00
10
10
00
00
00
11
00
01
01
00
01
00
01
00
00
10
01
00
01
11
10
10
00
10
00
00
00
00
00
10
10
10
11
00
11
10
00
10
10
01
00
11
11
10
00
00
11
00
11
11
00
11
10
00
10
10
00
00
10
10
00
10
10
00
00
00
00
00
10
11
10
00
00
10
00
10
11
10
10
01
10
10
10
11
10
10
00
10
10
01
00
00
01
11
00
10
10
10
10
00
00
11
01
01
10
01
00
11
00
11
10
00
00
00
00
10
11
00
00
10
00
00
11
10
10
01
00
00
11
11
00
10
01
00
11
00
11
01
11
10
10
00
00
11
11
10
00
00
10
10
11
10
10
00
00
11
10
01
01
00
11
11
01
01
10
10
00
00
10
11
00
10
10
11
00
00
00
00
01
11
01
01
10
11
11
01
01
00
10
10
00
10
01
01
11
11
01
00
00
01
00
01
11
10
00
00
01
00
11
11
11
11
00
10
01
00
10
01
00
00
01
11
00
10
00
10
00
01
11
11
11
10
10
11
11
00
01
11
00
00
10
00
00
10
10
11
10
00
10
10
01
10
10
11
01
00
10
10
11
00
10
10
01
10
10
00
10
01
00
00
10
00
11
01
01
10
10
00
11
10
11
00
00
00
01
10
10
10
00
00
00
10
11
01
01
00
01
00
11
11
10
01
01
01
11
00
00
11
10
01
10
10
01
00
11
10
11
00
10
10
00
10
10
00
00
01
10
11
00
10
10
10
10
00
10
11
00
11
00
00
10
00
00
00
01
10
11
00
10
10
00
00
11
10
00
00
01
10
11
01
00
11
00
11
10
11
00
10
01
01
11
10
01
10
10
10
00
00
10
10
00
10
00
11
00
11
00
00
11
10
01
01
00
00
11
00
10
10
01
10
00
10
00
01
11
10
00
10
00
00
00
10
10
01
10
11
11
11
00
11
00
00
00
10
10
01
00
01
00
11
11
10
10
00
00
10
01
01
10
11
10
01
10
11
01
00
10
00
11
10
11
10
10
10
00
10
01
10
10
10
00
11
11
11
10
00
10
01
10
01
00
00
01
00
00
00
00
10
10
10
01
10
10
00
00
11
00
10
11
00
10
11
10
01
10
11
10
11
00
00
11
01
01
10
00
00
11
10
00
00
00
00
10
00
00
11
10
10
10
00
11
10
00
00
00
10
11
00
11
00
00
10
11
10
00
01
10
00
00
10
00
11
00
00
00
10
00
00
10
11
00
00
00
10
10
10
00
01
10
11
10
10
01
10
10
00
10
10
10
11
11
10
01
01
00
11
00
01
01
00
10
11
10
10
10
01
00
00
11
11
10
11
10
00
10
10
11
11
11
00
01
10
10
11
11
10
01
01
10
10
00
00
10
10
01
00
00
10
11
11
11
10
00
00
10
10
00
00
01
10
10
00
00
11
00
00
10
01
10
01
01
10
00
10
10
10
00
10
10
10
10
10
10
00
01
10
00
10
00
10
01
00
10
11
01
00
10
00
01
10
00
01
11
10
00
01
01
10
11
01
00
00
00
10
11
00
00
10
10
10
00
01
01
00
10
00
10
10
10
10
11
10
00
10
10
10
01
01
00
10
00
11
00
00
10
10
10
01
01
00
01
00
11
01
00
01
11
11
01
00
11
10
00
01
10
10
01
01
10
11
11
11
00
10
00
10
11
01
11
10
01
01
00
00
01
00
11
10
11
10
00
00
10
10
00
11
00
11
10
00
00
10
10
10
00
00
11
00
10
10
00
00
11
10
00
10
00
10
10
01
11
10
01
10
00
01
00
10
10
00
00
00
10
00
00
11
00
10
01
10
10
01
10
11
10
11
00
10
01
00
10
10
01
10
00
11
10
10
00
00
10
00
01
10
00
01
11
10
10
00
00
10
10
01
11
10
00
00
10
10
10
10
10
11
10
00
10
10
00
10
00
11
00
01
00
11
00
01
11
10
00
00
10
11
10
00
10
11
01
00
01
00
00
10
01
11
11
00
01
00
00
00
00
10
01
00
00
10
11
10
10
10
10
01
10
00
00
00
10
01
00
11
11
10
00
10
10
00
01
10
10
10
00
11
00
11
00
10
00
01
00
11
10
01
10
01
10
11
00
00
00
00
11
10
10
00
00
10
10
10
10
10
10
10
00
00
10
01
00
00
10
01
11
00
01
10
00
10
10
00
10
00
00
00
10
01
00
10
10
10
10
00
10
01
00
00
10
10
00
10
00
00
00
10
11
10
00
00
11
10
10
11
10
00
01
10
11
10
10
01
00
00
10
01
00
10
00
01
10
11
10
01
10
10
10
10
10
00
10
11
11
01
01
10
01
11
11
01
01
10
10
01
00
10
10
00
00
10
00
00
00
10
10
00
10
01
01
10
00
01
11
00
01
10
10
10
00
00
01
01
10
10
10
10
01
00
11
10
00
11
00
10
10
00
01
11
01
10
00
10
01
01
10
11
11
10
10
00
00
01
10
00
00
10
10
00
00
11
00
00
10
10
01
10
11
01
01
10
01
00
10
11
00
01
00
11
11
10
00
10
00
00
00
10
00
00
00
10
10
10
10
00
00
01
10
10
00
10
00
10
11
01
11
10
01
00
01
10
10
01
00
11
00
00
11
11
01
00
00
11
10
00
00
10
00
01
00
01
11
00
10
01
10
00
10
10
01
01
11
10
10
10
10
11
00
01
01
00
00
11
10
11
01
00
11
10
01
01
01
11
11
00
01
10
11
01
10
11
01
11
10
01
11
10
01
00
10
01
10
11
01
00
00
10
10
00
00
10
10
10
00
10
00
10
10
01
00
10
00
00
00
11
00
01
10
11
11
00
00
00
00
10
01
00
00
01
10
10
10
10
10
00
10
10
11
00
00
01
10
10
01
10
11
00
01
00
00
10
11
01
00
00
00
10
00
00
00
10
10
00
10
01
00
10
00
01
00
10
11
10
01
11
00
10
11
00
01
10
10
00
10
00
00
01
10
10
01
11
10
10
10
10
10
01
00
00
00
10
00
00
10
11
10
01
11
01
10
01
00
00
10
00
00
11
10
01
00
11
10
00
00
11
10
01
01
11
10
00
10
00
01
10
11
00
10
11
00
00
01
00
10
11
00
11
00
00
01
00
11
10
10
01
10
00
00
10
10
00
11
00
00
10
10
01
00
10
11
10
00
01
01
10
00
01
00
00
10
10
10
11
01
00
10
11
10
01
10
11
10
11
10
10
00
00
00
00
00
10
11
00
00
11
01
00
11
00
01
01
10
01
11
10
00
10
11
00
10
10
01
00
11
10
01
11
10
00
00
10
11
11
00
00
00
00
10
00
01
10
11
00
01
10
10
00
11
00
00
11
10
10
00
10
11
10
01
00
10
10
00
00
01
10
00
01
11
00
00
11
11
00
10
10
01
00
00
01
10
11
00
01
10
10
00
01
10
10
10
01
00
11
00
00
10
11
11
00
10
10
10
10
00
00
00
10
11
01
00
10
11
10
10
01
10
10
00
10
10
00
11
10
01
00
10
00
00
10
11
00
10
01
10
10
00
10
01
10
11
00
10
10
00
10
10
10
01
00
11
10
00
01
10
10
01
10
10
10
10
00
10
11
00
01
10
10
00
10
10
00
00
10
00
11
10
01
00
01
11
11
01
10
10
10
10
00
11
10
00
10
10
00
00
10
10
01
10
00
01
00
10
10
10
00
01
00
11
10
00
11
01
10
10
10
01
00
00
10
10
10
10
00
00
10
01
10
01
00
10
00
00
10
10
00
00
10
10
00
11
10
00
10
00
11
11
11
00
00
11
10
10
10
10
00
10
01
01
11
10
10
10
10
00
00
10
10
10
11
10
11
01
00
01
01
00
11
10
00
00
00
11
10
10
01
01
10
10
00
10
00
10
10
00
01
00
00
11
01
10
01
10
10
01
01
10
00
10
11
00
10
00
01
01
10
00
10
01
00
10
10
00
11
01
10
10
10
00
10
00
01
00
10
00
11
11
10
00
11
00
01
10
01
10
10
00
00
00
11
00
00
10
10
00
11
10
01
10
10
00
10
11
10
00
01
01
10
01
10
10
10
00
00
10
01
01
01
10
10
00
10
00
01
00
10
11
00
00
01
10
10
01
00
01
10
11
10
10
10
00
00
10
01
10
01
01
00
10
11
01
00
10
00
10
10
01
10
11
00
10
11
10
00
00
00
00
00
11
11
10
11
10
10
10
00
00
01
00
11
10
10
11
10
00
00
01
10
10
00
10
00
01
11
00
01
10
01
11
10
00
10
10
00
11
11
01
00
11
00
01
10
11
01
11
11
00
10
10
00
01
10
01
00
00
10
11
10
10
00
00
01
10
10
10
00
00
10
00
10
11
01
00
00
10
01
00
11
00
11
10
00
10
11
10
00
00
10
10
00
10
01
00
10
10
10
10
10
00
00
00
10
01
01
01
10
11
10
10
10
10
00
00
10
00
11
10
01
10
01
00
10
11
10
00
00
00
10
00
00
11
10
00
01
00
01
00
10
00
10
00
00
11
10
10
10
01
11
11
10
00
01
00
01
00
01
10
10
00
11
01
01
10
11
01
00
10
10
10
00
00
11
00
10
11
00
00
10
10
00
00
10
11
00
01
10
10
01
10
10
00
00
11
00
00
00
10
10
01
01
10
01
10
00
10
00
01
10
10
01
10
11
00
10
10
10
00
10
00
00
00
00
11
00
00
10
00
10
10
10
01
01
00
10
00
11
00
01
10
11
00
00
10
10
10
00
00
11
00
10
10
01
00
00
10
10
10
11
11
00
00
00
10
11
00
01
00
11
10
11
10
00
11
10
10
10
00
01
10
00
00
10
10
11
10
00
10
10
00
00
00
10
10
00
00
11
01
10
10
11
10
00
00
10
10
00
00
11
10
00
10
10
10
11
01
00
11
00
00
01
00
10
10
00
11
01
11
11
01
11
01
00
10
00
00
00
00
01
11
10
00
11
11
10
11
11
01
01
01
00
01
10
01
00
11
01
00
01
10
00
00
01
10
00
11
10
01
10
10
00
10
00
10
10
00
10
11
10
01
10
01
10
11
00
00
00
10
10
11
00
00
01
10
10
10
01
10
10
00
00
10
00
01
10
11
00
00
11
00
00
00
01
11
00
00
10
11
00
00
01
00
10
00
10
00
10
00
01
00
01
11
10
11
10
00
10
10
00
00
10
11
11
01
10
01
01
11
11
01
00
11
10
10
01
00
01
11
10
01
01
01
10
10
01
00
00
11
10
00
11
11
00
00
10
10
10
11
11
00
01
10
10
01
01
10
10
01
01
01
10
00
00
10
01
00
10
10
10
01
00
01
01
11
11
01
00
10
11
00
00
00
10
10
10
00
11
01
00
01
01
11
10
10
01
00
00
11
10
00
00
01
10
10
00
01
01
10
10
10
10
10
00
01
10
00
01
11
00
10
01
00
10
10
00
10
10
01
11
00
10
00
01
00
11
11
00
10
10
10
00
00
10
00
01
10
00
00
10
00
10
10
00
11
00
11
11
10
10
10
10
01
10
10
01
00
00
00
11
10
01
00
10
00
00
10
00
00
11
00
11
00
11
11
01
11
11
10
01
10
11
10
00
00
10
10
10
11
00
00
10
01
10
01
11
11
11
01
00
10
01
00
10
00
01
11
11
11
00
01
00
00
00
00
10
10
01
01
00
10
10
01
11
01
10
11
10
10
00
11
10
00
01
10
00
00
00
00
10
10
00
01
01
11
10
10
00
01
11
10
00
00
10
10
00
00
10
10
11
11
10
10
10
11
00
11
00
11
10
10
01
00
00
10
00
00
10
10
00
10
00
00
10
00
11
11
11
10
00
00
11
01
11
00
11
00
01
11
00
10
10
00
00
11
00
01
00
00
00
01
10
11
10
00
10
11
10
00
01
10
10
10
10
00
01
01
01
00
10
00
00
00
10
01
11
10
10
00
00
11
00
10
10
01
11
00
00
00
01
11
10
01
00
10
01
10
11
01
01
01
10
10
00
10
10
00
00
11
00
10
11
00
11
01
00
01
10
00
00
11
01
10
11
00
00
10
11
10
10
11
00
01
01
10
11
11
10
01
01
11
11
01
00
00
10
11
00
00
11
10
10
10
01
00
00
00
00
11
10
00
00
10
10
00
00
11
11
11
01
00
10
01
01
10
10
01
01
11
01
00
00
00
00
11
10
00
10
11
11
11
01
00
10
10
10
10
00
01
11
11
11
10
10
01
10
10
10
10
01
00
10
00
10
10
01
00
01
11
10
11
01
10
10
00
00
11
11
01
11
00
01
10
01
00
11
11
00
11
00
10
00
10
10
00
00
10
01
00
00
01
00
00
00
10
00
00
10
10
10
00
10
10
10
00
10
00
00
00
10
00
11
11
10
01
11
10
10
10
01
00
11
10
01
10
10
00
00
10
01
01
10
00
10
00
01
01
10
10
10
00
10
00
01
00
10
10
01
10
10
11
00
11
00
00
10
10
01
10
01
00
01
01
11
10
01
01
00
01
00
00
11
11
00
10
00
11
00
10
10
01
10
01
01
00
11
11
10
10
10
01
11
10
00
00
10
00
00
00
10
10
10
10
00
11
00
10
00
10
00
10
11
01
01
10
00
00
10
00
01
10
10
10
01
00
11
00
00
10
10
00
01
10
10
00
01
00
00
11
10
11
00
00
10
10
11
01
11
10
11
01
00
11
00
00
10
10
00
10
00
00
10
11
00
01
11
00
01
10
01
01
00
11
10
11
00
00
10
00
00
00
11
11
00
10
10
10
00
00
11
00
10
00
00
10
01
00
01
11
10
11
01
10
10
01
01
10
10
00
11
11
00
00
11
10
00
00
10
10
10
11
01
00
10
10
01
10
10
01
01
11
10
00
01
10
00
10
10
10
00
10
10
10
00
10
10
00
00
10
10
00
01
00
00
00
10
01
10
10
10
11
10
10
00
00
00
10
11
01
10
11
11
10
00
11
00
00
00
11
10
00
10
10
11
00
01
10
10
11
11
10
10
10
00
11
00
01
00
00
10
01
11
11
11
01
10
10
00
10
01
11
11
01
00
10
01
00
10
10
00
00
11
10
11
00
11
11
11
10
00
01
10
10
01
00
10
10
11
10
10
01
00
00
11
00
00
00
10
00
10
01
11
10
00
01
10
00
00
10
10
01
00
10
10
01
01
00
10
10
10
01
01
10
11
00
00
01
10
11
00
00
11
01
00
00
01
11
10
10
01
00
00
11
11
11
10
00
00
01
10
11
10
10
00
10
10
11
00
00
00
11
00
00
10
10
01
00
11
00
00
11
10
00
11
10
00
10
00
10
10
10
10
00
11
00
00
11
11
10
10
01
00
00
10
10
10
00
00
10
00
10
00
00
10
11
00
00
10
00
00
01
10
10
11
00
00
11
01
00
00
11
10
01
10
00
10
11
00
01
11
11
10
10
01
10
10
00
10
00
00
00
00
11
01
11
10
11
00
00
10
10
01
00
00
10
10
10
11
00
10
00
11
00
00
00
01
11
00
10
00
01
00
01
11
10
00
01
10
10
10
00
00
00
01
00
10
10
00
11
10
10
01
01
10
11
10
10
00
01
01
01
10
11
11
00
00
00
10
10
11
00
10
01
10
00
00
10
10
11
11
10
01
01
10
00
00
10
00
10
10
00
01
00
11
10
10
11
01
10
00
11
10
11
00
01
10
10
00
00
10
10
11
00
00
10
10
00
00
00
00
11
10
00
00
00
10
11
11
01
00
00
10
10
00
10
11
00
10
01
10
10
11
00
00
10
11
00
00
00
11
00
10
11
10
00
00
00
00
00
10
10
11
01
10
11
01
00
10
00
10
00
01
11
10
01
00
10
00
00
10
10
00
01
01
11
01
01
10
00
10
00
01
10
10
11
00
01
00
00
10
10
10
01
11
01
11
11
10
00
01
00
10
11
01
00
10
00
10
01
00
01
00
10
10
00
00
00
10
10
00
10
11
10
00
10
11
01
10
00
00
00
11
01
10
01
01
11
00
00
10
11
11
00
10
10
00
00
00
11
00
00
10
11
01
11
11
00
11
01
01
10
00
00
10
10
00
00
11
10
10
10
00
10
01
10
10
01
01
01
11
00
11
01
00
10
00
10
00
01
10
00
00
00
01
00
01
10
00
01
10
10
10
10
00
00
00
01
00
10
00
00
11
10
10
00
00
11
10
01
10
00
00
10
00
10
01
01
11
00
10
10
00
00
01
10
11
01
00
11
10
00
10
10
00
10
11
10
01
00
10
00
10
10
00
10
10
00
00
11
11
00
10
10
01
00
11
10
00
10
00
01
10
10
01
01
10
10
10
00
11
00
10
11
01
10
11
00
01
10
00
00
11
11
11
01
01
11
10
11
10
11
00
00
10
00
00
10
00
10
10
10
01
01
00
01
00
10
11
10
00
00
10
10
00
10
00
10
11
01
10
10
00
10
00
00
00
01
00
10
10
00
00
10
01
01
11
11
01
01
11
00
01
10
10
10
10
00
10
10
01
00
00
01
10
01
11
00
11
10
01
10
11
00
00
10
10
01
10
01
00
10
10
10
00
00
11
01
01
10
10
00
00
11
10
00
00
01
00
10
10
10
11
11
11
01
10
10
10
10
01
01
10
10
10
00
10
10
00
01
10
10
10
00
00
01
00
10
00
10
00
11
10
00
10
10
00
00
01
11
10
01
10
00
11
10
01
11
11
01
01
00
01
10
10
00
10
10
01
01
11
11
11
00
10
01
01
11
00
01
01
10
10
00
11
10
00
11
10
01
10
01
00
11
00
11
10
01
01
10
11
00
10
00
00
10
10
00
10
11
01
11
10
10
11
00
01
10
10
00
10
01
11
00
00
10
10
10
00
10
00
10
11
10
10
00
00
10
00
10
11
00
10
10
10
10
00
01
00
00
00
01
10
00
10
00
11
01
11
10
11
01
01
00
11
01
10
00
00
10
10
10
00
00
11
10
00
11
10
00
11
10
00
10
10
10
01
10
10
00
11
00
10
10
01
11
10
00
10
10
00
00
00
00
10
10
01
10
11
00
01
11
10
00
11
10
01
00
10
10
00
10
10
10
00
01
11
10
00
01
10
00
11
10
11
01
01
10
10
01
00
10
10
00
00
11
10
00
11
11
00
00
00
11
11
01
01
00
10
01
11
00
01
11
10
10
00
00
10
00
10
10
10
00
00
01
01
10
10
10
01
00
10
10
11
00
10
00
01
10
00
10
00
10
00
00
11
01
01
00
10
10
10
11
11
00
00
00
11
00
00
00
00
00
00
00
10
01
00
01
01
10
10
10
11
01
00
10
01
00
00
00
11
01
00
00
10
00
11
00
10
10
00
10
10
10
01
00
00
10
01
11
00
10
10
00
00
11
01
11
10
01
00
11
00
00
10
10
00
00
10
00
00
11
01
10
01
11
10
10
00
00
11
10
01
11
10
11
10
01
00
10
00
11
10
11
10
10
10
00
00
00
10
10
00
00
00
10
10
00
10
00
10
00
00
01
00
10
10
10
10
00
10
00
10
11
00
00
10
10
00
00
00
10
10
01
11
11
11
00
01
10
00
01
11
10
00
01
10
00
00
11
00
00
10
11
11
10
00
00
10
00
00
10
11
10
11
00
00
10
10
10
10
11
00
11
10
01
10
11
00
00
11
10
10
00
01
11
10
10
00
10
01
10
00
10
10
01
00
10
10
01
00
10
10
01
00
11
10
00
11
00
00
00
00
11
00
00
10
11
10
11
10
00
11
00
01
01
00
10
10
10
11
00
00
10
11
00
00
00
11
00
00
10
00
00
11
00
11
10
10
10
11
01
01
00
01
00
00
00
00
10
10
11
00
01
10
00
10
01
01
00
00
10
01
00
00
11
10
01
00
10
00
10
00
00
11
11
00
00
01
00
10
10
01
11
00
01
10
11
10
11
00
00
10
11
00
10
11
10
00
10
11
00
11
10
11
11
10
00
01
00
10
10
00
11
00
00
10
00
00
00
01
01
10
10
01
00
00
00
00
11
11
01
10
11
10
01
00
11
10
10
00
10
11
11
00
00
11
11
10
11
00
10
00
10
00
00
11
11
11
00
00
00
10
10
00
11
10
11
10
01
10
01
11
11
11
01
11
01
00
01
10
11
10
01
10
10
10
10
00
00
11
10
01
01
01
10
01
01
00
01
00
01
10
10
00
11
10
10
00
00
10
10
00
11
11
10
10
10
01
00
01
10
00
10
11
10
00
00
01
00
01
11
10
01
10
11
00
10
10
10
00
01
00
10
10
10
01
00
00
10
11
00
00
10
11
10
10
00
01
10
10
00
11
10
11
00
00
10
10
00
00
00
10
11
10
11
01
00
01
10
11
10
10
00
00
11
00
01
01
00
11
10
10
00
00
10
10
10
00
00
00
10
10
10
00
00
00
11
10
11
01
11
00
01
11
10
00
01
00
10
10
00
10
00
10
10
10
00
10
01
00
11
10
01
00
10
10
00
00
10
10
01
00
00
00
01
10
11
01
10
10
01
01
01
00
00
11
01
10
10
00
00
01
10
00
10
01
11
10
01
00
10
11
01
10
00
00
10
00
01
01
01
00
00
01
10
10
00
01
10
00
00
10
10
01
01
10
10
00
00
10
01
10
10
10
11
00
00
00
00
10
10
00
01
10
01
01
00
01
00
10
10
10
10
00
00
10
10
00
10
10
10
01
00
01
00
01
11
10
11
00
10
11
00
00
01
00
11
10
01
10
00
00
11
10
01
00
10
01
00
01
10
10
01
00
01
00
00
10
10
11
00
00
10
00
10
11
01
00
00
10
01
10
11
10
01
10
00
10
00
10
00
01
11
10
01
10
00
10
00
01
11
10
10
10
00
10
10
00
10
11
01
00
01
10
01
00
10
01
10
10
01
00
10
00
10
11
00
01
11
00
10
11
00
01
00
00
01
01
01
00
00
10
10
00
10
00
00
11
10
00
10
10
00
11
10
11
10
01
00
01
00
00
10
10
10
11
00
01
11
10
00
00
00
00
10
10
00
10
11
00
00
11
10
11
00
11
11
10
10
00
00
00
10
10
00
01
10
10
00
01
11
11
01
00
11
10
10
00
11
10
00
00
00
10
00
00
10
11
10
01
00
01
01
01
00
10
00
00
10
11
10
00
01
00
01
10
10
01
10
10
10
00
11
00
10
11
00
10
10
00
10
10
01
00
00
11
00
10
00
10
11
00
00
00
10
11
10
10
11
01
01
00
00
10
10
01
10
00
01
00
10
10
01
10
00
00
10
00
00
01
00
11
10
01
00
11
10
00
00
10
10
00
01
10
11
01
10
00
00
10
11
11
01
00
10
00
00
11
10
10
00
01
11
11
10
00
10
00
10
10
10
01
10
00
01
11
11
00
10
10
11
00
00
00
10
10
00
00
10
10
10
01
00
10
11
10
00
00
00
11
10
00
00
10
01
00
00
01
00
10
10
10
10
10
00
00
00
00
10
01
00
10
00
01
00
10
10
10
00
00
10
10
00
10
00
10
10
00
10
00
01
00
01
11
01
00
11
00
10
11
10
10
01
00
10
10
11
10
01
01
00
11
10
00
00
01
10
10
11
01
00
00
11
11
00
01
11
00
00
00
00
00
10
11
01
10
00
00
10
10
10
00
10
00
10
01
10
00
00
01
10
10
00
11
00
10
00
11
10
11
01
00
11
00
00
00
00
11
00
11
00
10
11
01
00
11
11
00
01
11
11
10
00
00
10
00
00
00
00
00
10
10
10
00
00
01
10
10
10
10
01
00
01
11
00
01
00
10
00
11
00
00
10
00
00
10
10
00
00
00
10
11
10
10
10
11
01
00
11
00
10
11
10
10
01
10
10
00
00
01
01
10
10
10
10
00
10
10
00
10
10
01
10
11
11
01
10
10
01
00
01
10
01
00
01
11
10
00
00
10
11
11
00
10
01
00
00
10
00
00
00
11
10
01
11
01
00
00
10
11
01
10
10
00
00
00
10
10
11
10
00
11
11
01
01
11
10
11
01
01
10
01
01
10
10
00
01
10
10
00
00
10
00
00
10
00
00
00
00
10
10
01
00
01
00
10
00
00
11
10
11
00
10
10
11
10
00
01
11
11
00
00
10
10
01
00
10
00
00
11
10
11
01
11
01
00
10
00
01
11
01
00
10
10
10
11
01
00
10
10
00
00
10
01
11
00
01
00
11
10
01
10
01
00
11
11
00
11
10
00
00
00
11
10
01
00
01
11
11
11
01
10
10
10
00
01
11
11
10
00
10
00
01
00
11
01
00
01
00
10
00
10
11
00
11
10
10
10
00
00
00
00
10
10
01
00
00
11
01
10
00
11
10
01
01
00
10
01
01
00
10
01
00
10
11
10
10
11
11
01
00
01
10
01
00
10
00
10
10
01
10
10
01
00
10
11
00
00
11
00
01
10
00
10
10
00
11
10
11
10
00
00
00
00
11
10
00
10
11
00
01
00
01
10
11
01
11
00
00
10
10
11
01
11
10
01
00
11
00
01
00
10
10
00
00
11
11
00
11
10
10
00
00
01
00
10
10
10
00
00
10
01
01
11
01
11
10
01
00
10
11
01
11
10
00
10
00
11
00
01
10
11
00
10
11
01
00
10
00
00
01
00
00
00
10
10
01
10
10
11
00
10
11
00
11
00
00
00
10
10
00
11
10
10
10
00
10
00
00
01
11
01
00
10
01
01
01
00
10
10
00
01
00
11
11
00
00
01
11
01
11
10
10
01
11
00
00
10
10
01
01
10
01
11
00
10
00
00
01
11
11
10
00
10
10
00
11
11
00
11
10
11
01
10
10
00
10
00
00
10
10
11
01
10
00
00
10
00
10
11
10
00
11
10
00
00
10
00
00
00
00
11
01
10
10
00
00
10
01
10
10
00
10
00
11
01
01
00
11
11
00
01
01
10
10
11
11
00
10
10
00
00
10
11
00
01
11
10
10
10
11
11
00
00
00
00
00
01
01
10
01
11
11
00
10
00
00
00
10
10
01
00
10
00
00
00
10
00
10
00
11
11
00
11
00
01
10
00
00
11
11
01
00
10
00
00
01
11
10
00
00
00
10
10
01
01
00
10
10
10
01
00
10
00
01
00
00
10
10
00
00
00
00
01
10
10
01
10
10
00
11
00
10
10
01
00
01
10
10
11
00
11
01
00
10
10
11
00
10
10
11
00
00
00
10
10
11
00
00
01
10
00
00
00
10
10
10
00
11
10
01
01
00
10
10
10
00
01
10
11
00
00
00
00
11
10
10
00
00
11
01
00
11
01
01
00
00
00
10
10
00
00
00
11
00
00
10
00
00
00
10
10
10
01
01
10
00
10
11
10
00
00
10
00
00
01
10
11
00
01
10
10
00
00
00
10
10
01
10
10
10
00
10
11
10
00
10
11
01
00
00
10
00
00
10
11
11
00
01
00
00
00
10
10
10
00
00
00
10
01
00
00
01
00
10
00
11
10
10
11
01
10
10
10
10
00
00
10
11
00
10
01
01
11
10
10
10
10
00
00
00
00
10
00
00
11
11
00
11
10
00
10
00
00
01
00
11
10
10
10
10
10
01
11
11
10
11
10
10
11
00
00
10
10
01
00
10
01
00
11
10
10
00
00
10
00
10
10
10
11
10
11
01
00
10
11
01
00
10
00
00
10
00
01
10
01
10
10
11
01
00
10
10
00
01
10
00
00
01
01
00
11
01
01
10
11
10
01
11
11
10
01
00
10
10
01
00
10
10
01
00
11
11
01
01
10
00
01
01
10
10
10
00
10
00
00
00
10
10
00
00
10
00
10
00
10
10
10
01
00
01
10
11
11
01
00
11
00
00
00
11
11
01
10
00
01
00
11
00
00
11
10
00
00
00
01
10
10
00
00
01
00
11
11
10
11
01
00
01
11
10
10
10
10
11
00
00
10
10
10
01
11
00
00
10
00
00
01
01
10
11
10
10
00
11
00
01
01
00
10
01
00
01
00
10
01
00
11
00
01
00
10
10
10
00
11
00
01
10
00
11
00
00
10
10
01
10
00
01
01
00
10
10
10
10
11
00
01
01
00
01
00
00
01
11
10
10
01
01
01
00
01
11
11
00
11
11
00
01
10
01
11
10
00
00
01
00
10
11
10
00
10
10
10
00
00
00
00
10
00
10
10
11
10
10
01
01
10
00
01
01
01
11
10
11
01
00
00
11
10
01
01
11
00
01
00
00
01
00
11
11
10
01
10
00
11
10
00
10
01
11
00
00
10
00
11
00
00
01
11
11
00
00
00
00
00
11
10
00
01
00
11
10
00
01
00
01
10
10
10
00
10
00
11
10
00
00
10
10
10
11
01
11
10
11
00
11
10
11
11
01
00
00
00
00
10
10
00
00
10
00
11
00
00
10
10
10
11
10
00
11
10
10
00
01
10
11
10
00
00
00
10
10
10
01
01
01
00
10
01
00
00
11
10
00
01
00
01
01
10
10
10
10
11
00
00
00
00
11
00
10
10
00
00
10
10
00
00
10
00
00
01
10
10
10
00
00
10
00
01
10
01
00
00
11
01
00
10
00
00
10
01
00
10
11
00
10
01
11
10
10
10
00
10
00
01
11
11
10
10
00
00
11
11
10
00
00
10
00
00
00
10
10
11
10
01
10
01
00
00
10
00
00
11
00
00
11
00
11
11
10
11
01
11
10
10
00
00
00
00
10
10
00
01
00
10
00
10
10
11
01
00
00
00
00
01
00
10
00
11
01
10
01
01
10
10
10
01
10
10
01
11
01
00
10
00
01
00
11
11
00
00
10
11
01
10
10
00
00
11
11
00
10
10
00
11
10
11
00
01
10
11
01
00
11
11
00
00
11
10
01
01
10
10
10
10
10
10
00
01
10
01
10
10
11
11
00
10
11
00
01
01
10
10
11
10
11
01
00
00
00
00
10
11
00
00
00
11
10
10
00
11
10
10
01
11
01
00
10
10
00
10
10
01
00
11
10
10
10
00
10
11
00
00
11
10
10
10
00
01
01
00
10
10
00
00
01
10
01
10
00
01
11
10
11
10
11
00
00
00
01
10
00
10
10
00
00
10
01
11
00
01
10
11
00
00
10
11
00
01
01
10
01
10
10
00
00
10
10
00
10
11
00
00
11
00
10
00
10
11
00
11
10
10
00
00
01
10
00
00
00
01
10
11
00
10
10
11
10
01
10
10
00
00
00
11
10
11
11
01
11
10
00
01
01
10
10
00
00
00
11
11
10
00
10
10
11
10
11
10
00
10
10
11
00
00
00
00
00
10
10
01
10
10
10
01
00
10
01
11
10
11
10
10
00
11
00
00
00
10
10
00
00
10
10
10
10
10
10
11
01
00
11
01
10
10
00
00
10
11
00
10
10
00
01
10
10
00
11
00
01
11
01
00
10
10
10
10
00
00
11
10
00
10
10
00
00
00
00
11
11
01
10
00
10
00
10
01
10
10
00
01
00
01
10
10
10
11
00
00
10
11
10
01
00
01
01
11
10
11
01
01
01
10
11
11
01
01
00
11
10
01
00
00
10
10
10
00
01
11
10
10
00
11
10
10
11
01
01
10
00
01
10
01
10
11
01
00
10
10
01
00
01
01
10
01
00
10
00
01
10
11
00
00
10
01
10
00
10
10
11
00
10
00
00
00
10
11
10
00
01
10
00
11
10
10
00
00
10
10
11
00
11
01
10
00
10
10
00
00
10
10
01
00
10
01
10
10
11
10
01
00
11
01
11
11
00
00
11
00
01
10
00
00
10
00
10
01
00
11
11
10
10
11
00
00
11
00
00
10
01
10
10
10
11
10
01
00
10
10
00
00
10
10
00
11
01
10
01
11
01
10
01
11
10
00
00
00
11
11
01
00
10
11
00
00
10
10
00
00
10
00
10
10
10
10
11
00
11
11
10
11
11
10
01
10
10
00
10
10
00
00
10
00
01
00
00
00
01
11
10
00
00
01
01
10
11
00
00
10
01
00
00
00
10
11
10
00
01
00
11
01
11
10
00
10
00
00
10
00
10
01
00
10
00
01
00
10
00
11
10
01
01
01
10
10
00
00
00
10
10
00
00
10
00
10
00
01
10
00
10
11
01
01
00
11
10
10
00
00
11
01
11
10
10
10
00
00
11
11
00
00
10
10
10
00
00
11
00
11
01
01
10
10
01
10
10
01
11
10
10
00
00
00
10
01
00
00
10
10
00
00
10
10
01
00
00
01
00
00
00
01
00
11
10
10
11
00
10
10
01
00
11
10
10
11
00
01
01
01
00
01
01
10
10
00
01
10
00
10
10
01
00
10
10
10
10
01
00
00
00
01
01
10
00
00
00
10
01
10
11
00
01
11
00
00
11
10
00
00
00
00
10
01
10
10
00
10
00
11
00
10
10
10
10
01
00
00
11
11
00
10
00
00
10
00
01
11
10
10
10
10
10
10
00
10
10
01
01
11
01
11
11
11
10
00
11
00
01
10
10
00
11
10
10
00
00
01
01
00
11
10
10
00
10
10
10
00
00
11
00
01
01
00
00
10
10
01
11
11
10
00
10
10
01
00
00
10
01
01
01
00
00
10
10
10
00
00
00
00
00
00
11
01
10
10
10
11
10
01
00
11
10
00
00
00
10
11
00
00
10
11
10
00
10
01
10
10
10
01
00
00
00
00
00
10
11
10
01
00
00
00
10
10
00
10
11
00
00
11
01
01
10
00
10
10
10
00
11
11
00
11
11
01
10
11
00
00
11
10
11
00
00
11
01
00
00
00
10
11
10
00
00
11
01
11
10
00
10
10
00
01
00
11
10
00
01
10
10
01
10
01
01
11
01
00
01
00
00
10
10
10
10
01
00
10
11
11
00
10
01
01
11
11
10
01
00
11
11
01
00
01
10
10
10
00
01
10
00
01
10
10
11
11
10
10
10
01
00
10
00
11
10
11
10
11
00
00
11
10
00
00
00
11
00
01
11
00
00
10
11
10
00
00
01
01
11
00
00
00
11
10
11
00
00
10
01
10
10
10
00
00
01
11
11
11
00
01
00
01
10
10
10
01
10
11
00
00
00
01
11
10
10
01
00
10
10
00
00
10
10
10
00
11
10
00
00
01
10
00
00
00
00
11
11
11
11
11
11
00
00
01
10
11
00
00
01
00
00
10
11
10
00
01
10
00
00
00
11
01
00
10
00
01
11
10
00
00
10
00
10
01
11
11
00
00
00
00
10
00
11
00
00
10
10
11
01
11
10
00
10
00
10
00
01
10
00
10
01
10
01
01
10
10
00
01
10
01
00
01
10
11
00
11
10
11
00
00
10
10
10
10
00
00
10
10
00
01
11
00
00
10
10
00
00
10
10
00
01
11
11
10
00
00
00
00
10
10
01
00
10
10
00
10
00
10
11
01
11
10
11
10
10
00
00
00
10
10
00
00
10
00
11
10
10
01
00
11
10
01
00
01
01
01
11
10
11
00
00
10
10
00
01
10
11
11
10
01
10
10
00
00
10
11
00
11
10
01
11
10
01
10
10
01
10
00
01
11
10
00
00
00
11
10
00
10
00
00
01
00
10
00
10
00
00
10
01
00
11
00
10
10
10
10
00
00
10
00
10
11
11
11
00
10
01
10
01
10
10
00
01
11
11
00
01
00
10
01
00
10
10
00
11
01
10
11
01
00
10
10
00
01
10
00
10
00
00
10
11
01
01
11
10
11
10
00
00
00
10
10
01
00
10
10
00
11
10
11
01
11
01
10
10
00
00
10
10
00
00
00
11
10
10
10
01
00
01
01
10
00
10
00
00
10
11
00
10
00
00
00
11
10
01
00
11
11
00
11
10
11
00
10
00
00
00
00
00
10
00
10
01
00
10
00
10
10
00
10
11
10
01
10
10
10
01
00
11
10
01
10
10
10
11
01
10
11
01
00
10
01
01
11
11
00
00
00
10
10
11
00
01
11
01
00
01
00
10
11
01
01
10
10
11
01
10
00
11
01
00
10
00
10
10
10
00
00
10
11
00
00
10
10
01
10
10
00
10
11
01
10
00
11
10
10
10
00
11
10
00
01
00
00
10
10
01
00
10
10
10
10
00
01
00
10
01
01
00
01
01
00
11
10
00
10
10
11
00
01
10
00
10
10
10
10
11
00
10
00
00
00
01
00
00
00
10
00
00
10
00
00
11
11
00
00
11
01
10
01
00
10
00
11
10
00
11
10
10
10
10
00
00
10
11
10
11
11
00
10
10
10
11
01
01
00
01
00
10
10
00
00
01
11
10
00
01
11
00
11
00
11
11
10
10
11
11
00
10
00
10
00
11
10
00
00
01
10
01
00
10
01
00
11
10
01
00
00
00
10
10
00
01
11
10
11
11
01
00
00
10
10
10
00
00
11
10
00
00
10
01
00
01
00
10
10
01
10
00
01
10
10
10
10
01
10
10
00
00
01
10
10
01
10
00
00
00
11
10
01
10
00
10
01
01
10
00
10
11
11
10
00
00
11
01
00
10
11
10
00
10
00
00
00
10
10
11
00
00
00
10
11
00
00
00
10
00
11
01
00
00
10
01
00
10
01
10
10
10
01
00
01
10
10
00
10
00
10
10
00
00
00
00
10
11
00
11
10
01
10
11
01
11
01
01
00
01
11
10
01
01
10
00
01
11
11
00
10
10
00
00
10
10
00
00
00
01
11
00
10
00
10
01
10
01
00
10
10
11
00
00
00
11
01
10
00
00
01
00
00
10
00
00
11
10
00
11
00
01
00
10
10
01
11
00
01
11
10
01
00
00
01
10
01
00
11
10
00
00
10
10
00
10
10
01
00
11
11
01
10
10
01
10
11
00
00
11
00
01
11
00
00
01
01
00
00
10
11
00
00
00
00
10
10
01
10
10
10
10
00
11
01
00
11
10
00
11
10
00
10
11
00
11
00
00
10
10
00
00
10
11
01
00
00
10
10
10
00
11
11
10
00
01
00
01
10
10
11
10
00
00
10
10
10
00
00
10
11
00
01
11
11
00
00
11
00
00
01
10
10
01
10
11
01
00
11
10
01
10
01
01
00
01
00
10
01
10
10
01
00
10
00
10
10
00
11
01
00
11
11
01
00
10
00
10
01
11
11
00
00
01
00
10
11
10
01
01
10
00
01
01
10
01
00
00
11
01
01
11
00
11
00
01
10
01
10
10
10
01
01
10
00
10
00
01
01
01
01
01
00
10
10
11
11
00
01
10
01
00
00
10
01
01
10
10
10
10
00
00
10
10
10
00
01
00
00
00
11
10
11
01
10
10
10
10
11
10
00
10
10
10
10
10
00
10
10
10
10
11
00
01
10
01
10
00
00
10
10
00
01
00
11
00
01
00
11
00
11
00
00
10
11
11
00
00
11
01
00
01
10
00
00
10
11
00
11
11
11
01
10
11
01
11
00
00
10
00
01
10
10
01
00
10
10
11
00
10
11
00
11
11
10
01
11
11
10
10
01
10
10
11
01
01
11
10
10
00
00
10
00
00
00
01
00
11
00
10
10
10
00
00
00
10
00
01
00
10
10
10
11
01
11
01
00
10
01
10
00
00
10
11
10
00
00
00
00
10
11
00
10
11
01
01
00
00
10
10
11
00
10
10
11
11
11
01
00
00
01
11
10
00
00
10
11
11
00
11
10
10
10
00
10
01
00
00
10
01
00
10
10
01
10
10
01
10
10
10
01
01
11
10
10
10
00
11
00
10
10
10
01
00
11
00
10
01
00
10
00
00
11
00
11
10
11
10
10
01
10
01
00
00
00
10
10
01
00
11
00
11
10
01
00
00
10
10
11
00
01
11
11
10
11
10
11
00
00
10
10
00
00
00
11
00
00
00
10
11
10
10
00
10
01
01
00
10
11
01
10
10
00
10
00
10
10
10
10
10
10
00
01
00
00
00
00
11
00
00
00
10
10
01
00
11
10
01
00
11
10
00
01
10
00
01
00
01
01
01
10
00
00
00
00
10
11
10
00
00
11
11
01
01
10
10
10
10
11
00
00
10
10
10
01
10
11
11
00
00
10
10
01
00
10
00
10
10
00
01
01
10
00
10
10
00
10
01
00
11
10
11
10
10
11
00
11
10
00
10
11
00
00
00
00
10
10
10
00
10
11
10
10
10
00
00
10
11
10
00
10
00
10
10
00
00
11
11
10
10
00
10
00
00
11
10
10
11
10
01
00
00
11
00
00
10
00
00
11
00
10
11
11
00
11
00
11
10
11
01
11
00
01
10
00
01
11
10
01
00
00
01
10
10
10
00
11
01
10
00
10
10
10
00
00
10
10
11
00
10
01
01
00
10
00
00
10
10
00
00
00
11
01
10
00
11
01
10
00
11
10
00
11
00
10
11
00
10
11
00
10
11
01
11
00
00
00
10
10
00
10
00
01
10
10
10
11
01
10
01
11
00
10
01
00
01
10
00
10
00
11
00
10
10
00
01
00
10
00
00
00
11
00
00
10
10
10
10
00
10
00
11
01
10
10
00
11
10
01
11
10
00
01
00
00
10
10
00
01
10
01
01
11
10
00
10
10
00
01
10
11
00
00
10
00
00
10
10
01
10
11
10
10
00
00
01
10
01
00
10
00
00
00
00
01
11
01
10
11
01
00
10
00
00
10
10
10
10
00
00
10
01
10
11
10
01
10
10
10
00
00
11
11
00
11
10
10
01
10
10
00
00
11
10
11
11
11
01
00
10
00
01
10
00
00
10
11
00
10
01
01
00
10
11
01
11
10
10
10
00
11
10
01
10
00
00
11
01
01
00
10
00
10
10
01
00
11
10
00
10
00
00
01
11
10
00
10
00
01
00
10
11
01
00
11
00
00
11
10
00
00
10
10
00
01
00
00
11
00
00
11
10
00
10
00
00
00
11
11
10
11
11
00
00
11
10
00
00
11
00
01
10
00
00
10
00
00
10
10
01
10
01
01
10
00
10
01
10
11
00
01
01
01
00
00
01
10
00
00
11
11
10
00
00
10
10
11
01
10
00
00
01
00
11
00
00
10
11
11
10
00
11
11
00
10
00
00
11
11
11
10
01
00
10
10
00
11
10
01
00
01
01
10
11
10
00
10
01
00
00
10
10
10
00
01
00
00
11
10
11
10
11
01
10
10
01
01
10
11
10
01
00
01
10
10
01
00
01
11
01
00
01
11
01
00
10
10
10
00
00
01
10
10
10
10
00
10
11
00
01
10
00
10
11
11
10
10
00
00
10
01
10
10
00
10
10
00
00
10
01
00
11
11
01
10
10
00
10
00
00
00
11
10
10
01
01
10
11
10
00
00
10
01
10
11
00
01
10
11
00
01
01
00
10
10
00
01
11
10
10
00
10
01
00
00
01
00
11
00
10
11
10
11
01
00
00
00
11
11
00
00
00
01
10
11
10
10
10
10
11
10
01
11
00
01
10
00
00
10
10
00
00
10
11
11
10
11
00
11
10
11
01
00
11
01
10
10
11
10
10
01
00
00
10
10
00
01
10
10
00
01
00
01
10
01
11
11
11
11
01
00
10
00
11
01
00
10
11
10
00
00
10
01
01
10
11
00
00
00
10
00
01
10
10
10
10
10
10
10
10
01
00
00
11
01
10
00
00
10
00
00
00
10
10
01
00
10
01
00
10
11
00
00
10
10
11
11
01
10
00
00
01
10
00
01
11
10
01
01
10
10
11
00
10
10
00
10
00
00
01
10
00
00
00
10
10
01
10
01
11
10
10
01
11
11
10
00
10
11
11
00
01
10
11
01
10
11
00
01
00
00
10
10
00
00
00
11
00
01
10
10
00
11
10
10
01
00
11
00
10
01
01
10
00
11
11
11
00
01
11
00
00
01
01
10
00
00
01
00
10
11
00
00
10
00
00
01
10
00
10
00
10
10
01
10
00
10
10
11
00
01
10
11
00
10
00
01
10
10
10
11
01
11
10
01
01
01
11
00
01
10
10
11
10
01
01
01
01
01
00
11
00
00
10
10
11
00
10
10
00
10
01
00
10
01
10
10
00
00
11
10
11
00
00
01
01
00
11
10
00
10
10
00
10
10
00
11
10
11
11
00
10
01
00
01
11
10
00
01
11
01
00
10
01
10
00
10
00
11
10
01
01
00
10
00
10
10
10
00
00
01
10
01
00
10
10
11
00
10
00
01
00
00
11
10
10
00
10
10
10
00
00
10
10
00
01
11
10
00
00
01
00
10
00
00
11
10
11
10
01
10
11
10
00
00
10
01
00
00
10
11
10
10
10
01
00
10
11
10
00
00
10
10
01
11
11
00
10
00
01
01
00
10
11
00
10
00
01
10
10
00
11
10
00
00
00
00
11
01
10
01
10
10
00
11
00
01
10
10
01
11
01
01
10
00
10
00
00
01
00
10
10
10
10
00
01
11
00
10
10
00
10
01
10
10
10
01
10
01
00
10
01
01
00
00
11
10
10
10
00
01
00
10
10
00
00
11
10
00
00
00
01
00
00
10
00
01
11
11
00
11
11
10
00
10
10
01
01
10
00
00
11
10
00
00
00
00
00
00
11
01
10
01
01
00
01
10
00
00
11
10
10
00
00
00
11
00
01
10
11
10
00
10
00
01
10
00
01
00
00
10
00
00
10
00
11
10
11
00
01
10
00
11
00
11
10
00
10
00
00
10
10
00
11
10
10
11
00
00
11
10
00
11
10
00
10
11
01
01
00
01
01
11
00
00
10
10
10
00
01
11
10
01
10
00
10
11
00
10
10
00
11
10
11
00
10
10
00
00
10
11
11
00
00
00
01
00
11
10
00
10
01
00
10
01
01
01
10
01
01
10
00
10
10
10
00
01
00
10
00
00
00
10
01
00
10
10
11
10
01
01
10
10
01
11
01
01
10
00
00
11
10
01
00
10
10
00
10
00
00
10
11
10
00
00
11
01
00
00
01
10
11
10
10
01
10
10
00
00
11
00
01
10
00
00
00
00
00
10
11
00
00
00
11
00
01
01
00
00
10
10
11
10
00
00
01
10
10
01
10
10
10
00
10
01
10
11
01
00
00
11
10
01
00
10
11
11
10
10
10
00
00
00
10
10
11
00
11
10
01
10
10
10
00
10
11
11
00
10
00
00
10
00
00
00
01
11
01
11
10
11
10
01
00
10
00
11
10
00
00
10
10
10
11
00
11
10
00
00
00
10
10
00
01
00
10
10
00
00
10
11
00
01
10
10
00
11
10
00
10
10
01
01
11
10
00
10
10
01
00
10
10
01
00
00
10
11
10
01
10
00
10
01
10
11
11
00
00
10
01
01
10
10
10
00
10
11
00
10
11
00
10
01
00
11
10
11
00
01
00
10
10
01
01
10
11
00
01
00
00
11
10
00
00
00
11
01
10
10
00
01
10
11
10
00
00
11
11
00
10
10
00
10
11
01
00
00
00
00
10
11
00
00
11
11
11
11
10
00
10
10
11
00
01
10
00
11
00
10
10
01
01
01
01
10
11
01
11
11
10
00
00
10
00
11
11
01
10
00
10
10
01
10
10
01
01
11
01
00
01
00
01
11
11
00
01
00
00
11
11
10
01
00
11
00
01
10
10
00
01
01
10
00
00
10
11
00
00
00
11
00
00
00
10
10
10
10
10
01
01
10
00
10
10
10
00
00
10
10
00
10
11
10
10
10
10
11
10
00
00
00
10
10
10
00
11
10
00
00
10
11
10
11
00
00
10
00
00
00
00
10
10
01
10
10
01
00
00
00
10
10
00
10
01
01
01
10
00
00
00
00
10
00
10
11
01
10
11
10
01
10
00
10
10
01
00
10
10
00
11
00
00
10
00
11
00
00
11
00
10
10
11
00
11
11
11
10
10
00
00
00
11
00
00
10
11
01
11
10
10
11
00
00
10
00
00
10
10
00
00
10
10
11
10
10
10
00
00
00
01
11
10
00
00
10
00
00
10
00
00
10
10
01
00
00
10
10
00
00
10
10
10
00
01
01
10
00
01
00
00
10
10
01
11
00
10
10
01
10
01
10
11
01
11
01
00
00
10
00
00
10
10
01
00
00
00
11
00
00
00
10
01
00
01
11
01
01
11
00
10
00
00
10
11
10
01
01
10
01
01
00
11
00
11
10
11
00
00
01
00
00
01
00
11
01
10
10
10
10
10
01
01
00
10
00
10
10
01
11
01
01
10
10
00
00
00
00
10
11
00
00
10
11
00
10
11
10
00
01
10
10
10
00
00
10
00
00
01
01
00
10
11
10
10
10
11
10
10
00
00
10
10
00
10
10
00
10
01
00
01
01
00
10
10
00
11
10
01
11
10
11
10
10
00
00
10
01
00
11
00
10
10
10
00
10
01
01
01
10
11
00
00
00
10
00
10
10
01
10
01
01
10
10
00
10
10
11
00
10
10
00
10
10
00
00
10
01
01
11
10
00
01
11
11
00
00
10
00
10
00
01
10
11
10
11
00
10
10
00
00
00
00
10
00
00
10
10
10
11
10
11
11
00
00
01
10
01
10
10
10
00
10
10
10
00
01
01
00
11
01
00
10
00
10
01
00
11
10
01
11
11
11
00
01
11
11
00
10
10
00
10
10
01
01
10
01
00
00
10
01
01
01
11
10
00
00
11
00
11
10
00
00
11
10
00
00
10
00
00
11
00
01
10
00
11
11
01
10
10
00
00
10
10
00
11
00
00
10
11
11
00
00
10
00
00
00
11
10
00
00
00
10
10
00
00
00
10
11
10
10
00
11
01
10
10
00
01
00
10
10
00
10
11
11
00
10
00
00
10
10
10
01
00
10
00
00
10
10
10
10
01
00
00
00
10
00
10
10
00
00
10
10
10
00
10
10
00
10
00
10
10
10
10
00
11
00
01
10
00
00
11
01
00
01
10
11
00
00
00
10
10
10
10
01
10
01
11
00
00
00
10
10
10
10
00
10
00
00
00
10
00
10
10
00
01
01
10
11
00
00
00
10
01
10
10
10
10
01
01
01
11
01
00
01
01
01
11
10
00
00
10
11
10
00
11
00
10
00
10
11
00
00
10
10
01
01
01
00
11
11
10
11
00
00
11
10
01
10
10
01
10
01
00
10
00
01
00
10
11
11
00
10
00
00
10
10
01
01
11
00
01
01
00
00
00
11
11
01
00
10
11
00
11
00
00
11
10
10
10
01
01
10
11
00
11
11
11
00
00
10
11
10
00
00
10
01
11
10
01
00
01
00
10
11
00
01
10
11
00
01
10
00
10
10
10
10
01
00
01
00
00
10
01
11
11
00
00
10
01
00
00
01
10
00
00
00
10
00
01
10
11
11
00
10
01
01
10
10
10
00
00
10
00
00
11
10
10
10
10
00
11
00
00
10
10
01
00
10
01
11
10
00
11
01
01
11
00
10
10
01
10
11
00
01
00
10
10
10
00
00
00
00
00
11
10
01
10
11
10
00
00
00
10
10
10
01
01
10
10
11
11
00
00
11
11
00
01
11
10
00
10
01
00
01
01
10
00
11
10
00
00
10
11
11
10
10
01
01
00
10
00
00
10
00
10
10
10
11
00
00
11
00
01
00
00
01
10
10
01
10
00
00
10
10
00
11
11
10
00
01
01
11
01
00
11
10
00
11
11
00
00
00
00
10
11
10
11
11
00
10
11
00
10
10
01
10
11
00
00
00
10
01
00
01
10
01
01
10
01
11
10
00
10
00
00
00
01
10
11
00
00
10
11
01
01
00
00
11
00
11
00
10
10
00
11
10
01
00
10
01
01
11
11
11
00
10
10
00
00
00
10
10
10
00
10
10
11
01
11
01
10
00
11
11
11
00
11
10
10
00
00
00
11
01
00
10
00
00
10
11
10
01
10
00
01
10
10
00
00
11
01
00
00
10
11
10
00
10
11
00
01
11
10
10
00
01
00
00
10
00
11
10
00
10
10
10
00
00
11
00
01
00
10
10
00
10
10
01
00
11
00
11
10
01
01
11
00
00
10
01
01
00
10
01
00
01
00
10
10
00
10
10
10
00
01
11
10
11
10
00
10
00
01
10
00
01
11
11
00
01
10
00
01
01
00
10
11
01
10
10
00
10
10
01
00
00
01
10
00
10
01
10
10
00
01
10
10
00
10
00
00
00
11
00
11
00
00
11
10
11
00
00
10
10
00
00
00
11
11
01
01
10
10
00
10
11
00
00
00
10
01
00
11
01
10
10
00
10
10
00
00
00
01
00
00
11
11
00
01
00
11
11
01
10
10
11
00
11
00
00
10
11
10
00
11
11
10
00
00
01
00
10
10
10
00
10
11
10
10
10
00
01
00
00
00
00
11
00
11
11
10
10
01
11
10
10
10
11
10
01
00
00
01
10
00
10
11
11
10
00
00
00
00
00
00
10
10
01
00
01
01
01
11
00
00
01
10
10
00
01
11
11
01
10
01
01
00
01
01
10
00
01
01
00
01
10
11
10
00
11
01
01
10
11
00
11
10
00
01
10
11
00
10
10
00
00
11
00
00
10
10
11
01
10
11
00
11
10
10
10
00
10
10
00
10
11
10
00
01
10
10
11
10
10
00
01
00
10
10
10
11
00
00
00
10
10
01
10
11
01
10
00
00
10
00
00
01
00
00
00
10
01
01
10
10
10
00
10
00
11
01
11
00
00
01
10
11
00
00
10
00
00
10
01
10
11
00
10
10
01
11
01
11
11
00
11
11
10
10
00
10
10
10
01
01
10
10
00
11
10
11
00
01
00
10
10
01
00
10
11
00
01
10
01
00
00
00
11
00
10
11
00
11
00
10
11
11
10
00
01
10
11
00
11
00
10
00
01
00
10
10
00
00
10
11
10
11
10
00
01
10
00
10
10
00
01
10
11
00
01
00
10
00
00
00
01
10
10
00
00
10
00
01
00
01
10
00
00
10
10
10
10
00
00
11
10
10
10
00
11
00
10
10
00
10
10
01
01
00
01
10
10
10
00
01
11
00
00
01
00
11
11
00
00
00
00
10
00
00
00
10
10
10
10
00
11
11
00
10
10
00
00
10
01
10
00
01
00
01
00
10
00
10
00
10
10
01
10
01
10
01
00
01
01
11
10
00
00
00
00
10
11
01
01
11
11
00
01
01
00
01
10
10
10
10
00
00
10
10
10
01
11
01
00
11
00
01
10
11
11
00
10
10
10
00
00
00
10
11
10
00
10
10
10
00
01
01
00
10
00
10
00
10
10
01
10
10
10
10
10
00
10
10
11
00
11
01
00
01
00
00
01
01
10
10
00
01
00
10
10
00
00
10
00
00
01
10
10
00
01
01
10
10
11
11
10
01
00
10
00
01
01
10
01
01
11
11
01
01
01
10
11
10
00
10
10
01
10
01
01
00
10
00
10
00
11
11
01
01
11
00
00
00
01
10
11
00
01
01
10
10
01
01
10
10
00
00
01
11
10
01
01
11
00
00
11
00
00
10
10
00
01
10
00
10
10
00
00
00
11
01
11
01
01
01
00
11
10
10
01
01
10
10
00
11
10
00
01
10
01
00
00
11
00
11
01
10
10
01
00
00
00
10
10
10
11
00
01
11
10
01
00
11
11
10
11
00
11
11
10
00
00
01
01
01
11
11
01
11
00
00
10
10
11
00
01
01
01
00
00
11
11
00
00
01
11
10
00
10
00
00
00
11
10
10
01
10
10
10
00
00
01
01
10
10
01
10
00
10
00
01
10
01
11
01
00
00
01
01
11
11
10
00
00
11
10
01
10
10
00
00
01
00
10
10
01
10
00
11
00
10
10
00
11
11
00
00
10
10
11
00
10
00
10
10
01
00
10
11
00
00
00
11
10
00
01
10
11
00
10
00
10
10
00
10
11
10
00
00
01
11
01
10
10
00
00
00
10
00
00
10
11
01
00
10
10
01
00
01
10
01
10
10
10
10
00
00
00
11
10
00
01
10
01
00
11
10
01
10
10
01
01
10
10
10
00
00
11
10
00
00
10
01
00
01
00
00
00
01
00
01
10
11
10
01
00
01
01
10
10
01
01
10
11
10
00
00
00
01
11
00
01
10
10
00
00
10
10
00
00
01
00
10
10
00
00
01
01
01
10
10
11
00
10
00
01
10
01
10
11
01
10
11
00
00
00
10
10
00
00
11
10
11
01
11
11
10
11
00
10
00
01
10
11
00
00
10
11
10
01
00
10
10
10
10
00
00
10
00
11
10
00
00
11
00
10
00
00
00
00
00
10
10
00
00
10
00
10
10
11
10
00
10
11
10
00
01
10
01
00
10
10
00
00
00
00
10
10
11
00
01
00
01
00
00
00
01
00
11
00
10
10
00
10
00
00
10
00
00
00
10
10
10
00
01
00
00
11
00
11
00
00
11
10
10
10
00
01
00
01
01
01
00
10
10
10
11
11
00
00
10
10
00
10
01
01
10
10
10
01
00
11
11
11
00
00
10
10
11
01
00
10
01
10
01
01
01
10
10
01
10
00
10
10
00
01
00
11
11
00
10
10
10
00
00
00
10
11
00
10
00
10
10
00
00
10
10
11
01
11
00
01
01
01
00
10
10
10
10
11
00
00
00
10
11
01
01
01
10
00
11
11
00
10
10
11
00
00
10
11
01
00
11
00
11
00
10
01
01
10
11
10
01
00
00
10
11
10
00
11
10
10
00
00
01
11
11
00
10
11
00
00
10
11
01
00
11
11
10
00
10
11
01
00
10
00
01
10
10
00
11
01
00
10
10
00
01
01
00
01
01
10
01
10
00
01
00
10
10
00
00
10
10
10
11
10
11
00
00
00
10
11
00
01
10
11
00
10
10
10
00
01
10
11
01
10
00
01
11
01
10
11
11
10
00
01
10
10
11
11
01
01
11
00
10
01
11
10
01
00
10
10
01
11
00
00
00
10
00
00
10
01
00
01
11
10
10
10
00
00
01
10
11
10
01
01
00
00
10
10
00
00
10
11
00
01
00
01
10
10
00
00
00
01
10
10
00
00
10
11
01
10
00
00
10
10
10
00
01
10
10
11
00
01
11
10
10
00
00
00
00
10
00
00
11
00
10
11
10
00
11
10
10
00
01
11
10
00
01
00
10
01
11
10
01
10
10
01
01
11
00
00
11
11
00
01
11
10
00
11
01
10
10
01
00
10
10
00
11
11
11
01
00
10
10
00
00
10
10
01
00
01
11
10
10
00
10
01
11
10
00
00
10
10
00
00
10
11
00
10
10
00
00
00
10
10
00
11
10
11
00
11
00
00
11
01
10
10
00
10
00
10
11
00
00
01
11
00
10
01
00
10
11
00
00
00
01
00
00
11
10
10
10
10
00
01
11
10
00
10
10
01
00
00
00
10
10
10
01
11
00
10
10
00
11
10
00
10
10
00
10
01
01
11
11
10
11
00
00
00
10
00
00
11
11
01
10
01
00
10
01
00
11
10
00
01
00
01
00
11
10
10
00
10
10
00
00
10
10
11
01
11
01
00
00
11
01
10
10
00
01
10
00
01
00
11
00
00
10
00
10
10
01
01
10
10
01
11
11
11
00
00
11
11
00
01
10
10
11
10
10
01
10
11
00
00
11
00
00
00
10
10
10
00
01
11
00
00
10
11
00
10
00
00
11
00
01
10
01
11
01
11
10
10
00
00
11
10
00
01
00
01
01
01
01
10
10
10
00
01
11
11
00
01
00
00
01
10
00
00
10
11
11
00
10
01
00
01
11
01
10
10
11
00
11
11
01
11
00
01
00
11
10
10
10
01
01
10
00
00
10
00
00
10
00
10
10
00
10
10
00
10
10
00
01
00
11
01
00
10
10
10
10
01
01
11
10
00
10
11
11
00
11
10
10
00
10
00
00
01
10
10
01
10
01
10
00
00
10
10
10
10
00
00
01
00
10
00
01
00
01
10
00
10
10
00
00
00
00
11
00
10
00
11
10
01
00
10
10
10
00
00
01
11
11
01
00
01
10
10
11
00
00
10
11
01
00
01
11
00
11
10
01
10
00
00
10
11
00
01
01
10
10
10
00
10
10
00
10
00
10
01
01
00
01
10
11
11
11
00
00
11
10
00
00
10
10
00
10
00
00
11
00
00
00
11
01
10
10
00
01
10
10
10
00
10
10
00
01
11
11
10
10
00
01
00
11
10
10
01
10
11
00
10
00
00
01
10
00
01
00
10
00
10
10
00
00
11
11
00
00
11
00
01
00
10
10
00
00
00
11
10
00
01
11
00
10
11
10
11
01
01
00
01
00
00
01
10
10
00
00
10
10
10
00
00
11
10
11
10
00
01
00
01
11
00
00
00
00
00
10
11
10
00
00
11
01
01
01
11
00
10
10
10
00
00
10
01
00
00
11
11
01
10
10
00
00
11
00
01
10
10
11
00
11
01
00
01
01
10
00
00
10
10
00
00
00
11
10
00
10
11
01
00
00
10
10
01
10
00
01
10
00
10
01
00
10
10
00
11
11
11
10
10
10
00
00
00
00
11
00
10
11
10
11
00
00
10
10
00
11
00
00
10
11
11
00
00
11
01
10
01
10
01
01
10
10
00
00
10
00
10
00
01
01
00
10
11
00
10
10
00
00
00
10
10
00
00
10
00
11
10
10
00
01
00
10
01
01
00
10
10
10
00
01
11
11
01
10
00
10
11
11
11
00
10
00
10
01
01
11
01
01
10
00
00
10
10
00
01
10
11
11
00
10
01
11
00
10
10
10
10
10
00
10
10
00
11
00
10
00
00
10
10
00
01
11
11
00
10
01
00
00
01
10
10
10
00
00
00
11
10
00
10
10
10
11
00
00
11
00
00
00
00
10
10
10
01
01
10
11
11
10
11
01
11
10
01
01
10
11
00
00
00
11
10
10
01
01
10
11
01
10
01
00
11
10
10
01
01
01
10
01
00
11
10
10
10
00
00
10
10
00
11
01
00
10
00
00
10
11
00
11
00
00
11
00
00
10
00
00
10
00
10
10
10
10
00
01
00
10
10
10
00
00
01
00
10
10
10
01
10
11
00
10
10
00
00
10
00
11
10
00
00
00
01
00
10
10
00
01
00
00
01
10
01
00
00
10
01
10
11
00
00
00
10
10
00
00
11
00
01
00
10
01
11
11
01
11
11
11
00
11
10
00
00
10
01
10
00
00
00
10
01
00
10
11
11
10
10
11
00
00
00
11
10
00
10
10
00
00
11
10
00
00
10
01
01
01
10
00
10
10
00
11
01
00
01
11
10
10
01
10
10
00
00
00
10
00
10
01
00
00
10
10
10
00
01
00
01
11
00
00
11
11
01
00
10
11
00
10
00
01
01
00
00
10
01
00
00
10
11
00
10
01
00
00
10
11
01
00
00
00
10
10
10
10
10
00
01
10
10
01
10
01
00
01
01
00
11
10
01
01
01
10
11
00
10
00
01
00
11
10
00
11
00
10
10
10
01
01
10
10
10
01
00
10
11
10
01
00
00
10
00
01
00
01
11
11
10
10
00
10
10
00
00
10
11
11
10
01
01
10
00
10
00
00
11
10
10
00
10
00
11
11
01
01
11
00
10
10
10
00
00
10
00
00
00
11
10
01
00
00
00
11
01
10
10
00
11
10
10
00
10
10
01
00
11
00
00
00
11
11
00
10
10
11
10
01
00
01
01
00
00
10
11
10
10
11
11
10
01
01
00
00
00
11
10
10
01
00
00
10
11
10
10
10
10
11
00
10
00
01
11
10
01
00
11
10
11
00
11
10
10
10
00
00
11
10
00
00
11
10
01
00
10
00
00
10
11
10
00
00
10
00
00
10
11
00
01
10
10
10
00
11
00
00
11
00
00
10
10
10
10
00
00
00
00
01
10
01
10
10
11
00
01
10
11
00
00
00
00
10
10
00
00
10
00
10
00
00
00
00
10
10
11
10
10
00
10
00
11
10
00
10
10
10
11
01
01
11
11
11
00
01
10
10
00
00
11
11
10
01
10
10
00
10
00
00
11
11
00
00
10
10
00
01
10
10
10
01
01
11
01
00
00
00
00
10
00
00
10
11
00
01
01
01
10
00
01
10
10
00
10
10
10
11
00
01
10
10
10
10
10
00
10
10
01
00
00
11
11
10
00
10
10
00
11
00
10
11
00
10
01
11
01
10
10
11
10
11
00
10
11
00
00
00
11
10
11
00
11
10
10
11
00
01
11
10
00
00
10
01
01
10
11
00
01
10
01
10
00
11
11
10
11
11
00
00
11
10
11
00
01
00
00
11
01
11
10
00
11
10
10
00
00
11
10
00
11
00
00
10
01
01
00
11
11
10
00
10
00
11
10
00
10
00
00
11
00
00
00
10
10
10
10
10
10
10
11
10
10
11
00
10
10
00
00
00
00
00
10
00
11
00
01
00
10
00
10
10
10
01
01
10
10
00
10
10
00
00
10
10
11
00
00
10
00
00
11
00
10
01
00
10
11
01
01
10
10
00
00
00
00
10
10
10
00
00
10
11
00
00
00
00
10
10
01
00
11
00
01
11
10
00
00
01
11
01
01
10
11
10
11
00
10
10
00
10
11
00
00
00
11
01
10
10
00
00
00
10
00
10
10
00
00
00
10
00
10
01
00
00
00
10
00
11
10
11
00
11
11
10
00
00
11
00
10
10
00
00
00
10
10
10
10
00
11
10
11
00
10
00
10
11
10
01
00
10
11
10
10
00
01
01
00
10
10
01
11
00
11
00
01
01
11
11
01
10
10
00
10
01
01
10
01
00
00
00
10
00
00
11
11
00
01
01
11
10
10
10
01
00
11
11
01
10
10
00
00
11
11
00
01
00
10
11
00
00
00
10
11
11
00
10
10
00
10
10
00
01
10
10
10
00
00
10
10
00
10
10
10
00
10
11
00
01
00
11
01
10
10
00
10
10
11
00
10
00
10
01
00
10
11
10
00
10
00
00
00
10
11
00
10
01
00
00
10
00
01
00
10
00
10
10
01
01
00
00
11
10
01
01
00
00
10
00
01
10
11
00
00
00
00
10
10
10
00
11
00
01
10
11
00
10
10
01
00
00
10
00
11
00
00
10
00
11
00
00
01
01
11
00
00
10
11
10
01
10
11
00
00
00
00
00
11
00
00
11
10
01
00
00
10
01
00
10
11
00
00
00
10
10
11
00
01
00
10
10
00
00
11
10
01
10
00
00
10
00
11
11
10
11
00
10
01
11
10
01
11
01
10
11
00
11
11
01
00
10
00
01
10
10
11
00
00
01
00
00
10
10
11
11
00
00
11
00
01
11
01
10
10
10
00
11
10
00
10
11
10
10
01
01
01
00
01
10
00
10
10
00
00
10
01
00
11
00
11
00
10
00
11
01
01
01
11
10
10
00
01
00
10
10
00
10
01
11
10
01
10
01
11
10
10
00
10
11
11
01
11
00
00
10
11
00
00
00
10
10
01
01
10
10
00
00
11
10
00
01
10
00
11
00
10
00
00
10
00
10
01
01
01
10
00
01
00
00
01
10
10
10
01
00
11
01
00
00
01
01
10
11
00
11
10
01
00
00
10
11
10
00
00
10
11
10
00
00
01
01
10
00
01
10
11
00
01
11
10
00
00
00
10
00
01
10
10
10
11
01
00
00
10
10
00
01
10
11
11
01
00
00
10
10
10
00
00
11
10
00
11
10
11
10
00
00
10
10
10
00
00
00
10
10
00
00
10
10
00
10
00
00
10
10
00
00
01
00
01
00
10
10
00
00
00
00
11
00
00
10
01
00
10
10
10
11
11
00
10
00
00
11
11
11
00
01
10
10
00
10
11
00
01
11
00
00
00
00
01
00
10
10
00
01
01
00
10
10
01
10
01
00
10
11
10
00
01
00
11
00
01
10
11
00
00
00
10
10
01
00
00
00
00
10
11
00
01
00
10
10
00
10
10
11
00
00
10
00
00
00
11
11
10
10
10
00
00
10
11
10
00
00
01
00
11
10
10
00
01
00
00
00
11
10
10
10
01
00
10
10
01
01
11
00
00
11
10
10
10
00
01
10
01
10
00
01
00
11
10
00
00
11
01
11
10
00
11
00
00
00
11
00
00
10
11
10
00
10
00
11
10
01
01
00
00
10
10
10
00
00
00
00
01
11
00
01
10
00
00
01
01
10
10
00
11
10
10
00
11
10
10
10
00
00
10
10
00
00
01
10
10
01
10
11
01
10
11
01
10
11
01
11
11
10
01
10
10
00
00
11
10
00
10
10
00
11
00
00
10
01
00
10
11
10
00
10
00
01
11
10
00
01
10
00
00
10
10
00
01
10
10
00
00
00
00
10
00
00
10
10
10
10
10
10
10
10
00
00
10
11
10
00
10
11
00
11
10
10
00
10
01
11
01
00
01
00
10
01
10
10
01
00
10
11
00
01
01
10
00
00
01
10
11
10
11
00
10
01
11
10
10
00
01
00
01
10
00
10
11
10
00
00
10
11
00
11
10
11
01
01
01
10
10
00
00
10
10
00
01
11
10
00
00
01
11
00
01
10
10
00
00
00
11
00
01
00
11
10
00
00
11
00
01
10
11
10
10
00
10
10
00
10
10
10
10
00
00
10
00
00
01
10
00
10
00
11
10
10
00
01
00
00
10
10
11
01
01
00
00
11
10
00
00
00
11
11
00
11
00
10
10
01
11
00
01
11
10
00
11
10
00
00
00
00
10
00
00
10
00
00
01
00
10
00
10
11
10
00
00
00
10
10
10
11
00
00
00
10
01
10
01
00
01
10
11
00
11
11
00
00
10
01
01
10
10
10
01
00
00
10
00
10
11
00
01
00
10
01
00
10
00
10
10
10
01
10
11
01
10
11
11
10
11
01
00
10
10
01
10
10
00
11
10
10
00
10
10
00
01
00
00
11
10
11
11
10
00
10
00
01
00
10
10
11
00
00
00
10
10
10
11
01
00
01
10
00
10
00
00
10
00
00
00
00
01
10
10
01
10
01
10
10
00
01
00
10
11
00
01
11
11
10
11
00
01
11
11
10
00
10
10
11
00
11
10
10
00
00
11
00
10
01
01
10
11
00
00
11
11
00
10
10
00
00
00
01
10
10
10
00
11
10
01
00
11
10
00
10
10
00
00
11
10
00
01
00
01
00
01
10
10
10
10
00
00
10
10
10
00
11
10
01
00
01
10
01
11
01
11
10
00
10
11
00
00
11
00
10
10
00
11
10
10
00
00
10
10
00
00
00
01
11
10
11
11
01
00
10
00
00
01
10
10
10
11
11
10
11
00
11
11
10
00
00
11
11
00
00
11
00
00
00
11
01
10
01
00
10
10
00
10
10
11
11
10
01
00
01
00
00
10
10
00
00
01
00
00
00
10
11
10
10
00
11
00
00
00
11
11
01
01
11
10
00
01
01
00
11
10
01
00
00
01
10
11
10
01
00
11
01
01
00
10
10
00
11
11
10
01
11
00
10
10
01
00
10
10
10
00
01
10
10
11
00
11
10
00
00
10
00
11
00
10
01
11
01
01
01
00
01
01
10
11
00
11
10
11
00
01
10
10
10
10
00
00
00
00
10
11
10
01
00
10
11
00
10
11
00
11
10
10
00
10
10
01
01
00
01
01
10
10
11
00
01
10
00
00
01
10
10
10
00
10
10
00
00
10
10
00
00
11
11
10
00
10
00
00
00
10
10
00
10
10
00
00
10
11
01
00
01
00
01
00
10
10
10
00
00
01
11
00
01
00
00
00
11
10
10
00
00
00
00
11
00
11
11
00
11
00
11
00
10
10
11
00
00
10
10
11
10
01
00
10
10
00
01
10
10
00
10
11
10
00
11
10
11
11
10
11
00
01
00
11
10
10
11
00
01
10
11
00
00
00
10
10
00
01
00
00
11
01
01
01
00
10
11
10
00
10
01
01
10
11
11
00
01
10
10
10
01
00
00
10
11
00
11
11
01
00
10
00
10
01
01
10
11
00
00
10
00
11
11
10
00
11
00
01
00
10
10
10
00
00
10
10
00
01
10
10
00
01
01
01
01
00
01
11
00
11
00
01
10
00
01
01
11
10
00
01
10
00
10
10
00
10
10
00
11
00
00
11
11
10
10
10
00
01
00
11
00
10
10
01
10
00
00
11
11
10
01
10
10
00
00
01
10
11
00
10
10
10
00
10
00
00
10
00
11
00
10
01
11
01
00
01
00
10
00
00
10
11
11
01
10
00
10
00
10
10
10
01
00
11
00
00
10
11
00
11
00
01
01
00
10
10
00
01
10
11
11
10
00
11
00
01
11
10
10
00
00
01
00
11
10
11
10
00
10
00
00
10
00
00
01
10
10
10
01
00
10
00
10
00
10
10
01
10
01
10
00
01
01
01
00
01
10
00
11
11
01
00
11
10
10
01
01
11
11
01
00
00
00
10
11
00
01
10
10
00
00
10
10
01
10
01
00
00
00
10
00
00
00
10
10
00
11
10
10
00
10
11
11
00
00
10
00
00
10
01
10
10
00
10
10
00
01
11
10
00
00
10
00
10
00
00
00
01
01
00
01
00
11
10
10
10
01
00
10
01
01
00
01
10
01
11
10
01
10
01
00
10
11
00
01
01
10
10
01
00
00
10
10
01
11
01
01
10
10
00
11
10
10
00
00
00
01
10
10
00
11
10
01
10
10
01
00
10
01
11
11
10
00
10
11
10
10
00
00
10
00
00
11
10
10
10
01
00
11
10
11
10
01
00
00
00
10
00
10
11
01
01
10
01
00
10
00
11
10
10
01
01
10
00
10
00
01
00
10
10
00
11
10
00
00
10
11
11
10
00
11
00
11
00
00
01
10
00
01
10
11
00
00
00
11
10
00
11
10
10
00
10
00
00
10
00
00
10
10
00
10
10
00
10
00
11
01
00
10
10
11
00
00
01
10
11
10
10
01
00
00
00
00
11
10
00
10
00
10
00
00
10
10
01
10
10
10
11
10
01
00
10
11
10
00
10
01
00
10
01
00
10
10
01
00
00
01
10
10
10
10
10
11
00
10
11
00
11
10
00
10
00
11
00
11
10
00
01
10
00
01
11
11
01
10
10
00
00
11
10
01
00
11
10
10
00
00
00
11
11
00
01
10
01
01
11
10
10
10
00
10
01
00
10
10
01
10
01
01
10
00
01
01
01
11
10
00
10
11
10
10
00
00
11
10
01
01
10
01
01
01
10
00
11
10
00
11
10
00
10
11
01
00
00
00
10
11
10
00
11
01
10
00
00
01
01
10
11
10
11
00
10
00
00
11
11
00
01
01
10
11
10
01
11
11
01
00
00
10
10
11
00
00
11
10
01
10
10
00
00
11
11
10
01
00
01
01
11
11
10
01
00
10
11
00
01
10
10
00
10
11
00
10
11
00
10
10
10
00
01
10
00
00
00
01
01
00
10
01
00
10
10
11
10
00
00
10
00
11
00
00
10
10
10
10
00
00
01
10
10
10
00
10
00
01
10
10
01
01
01
00
10
10
00
00
00
11
10
10
11
00
11
11
00
10
10
01
10
10
10
10
00
00
00
11
01
01
00
10
10
11
00
01
00
10
10
01
00
11
00
00
10
10
00
01
11
10
10
10
01
11
10
10
10
01
11
11
00
00
10
01
11
10
00
00
01
10
10
10
11
01
10
00
00
00
00
10
10
11
00
00
11
01
00
10
00
00
11
00
00
00
10
11
10
00
00
01
00
10
10
10
00
00
01
00
10
11
10
00
10
10
00
00
11
01
01
11
01
10
10
00
10
01
01
11
00
10
10
10
10
11
01
00
01
11
10
11
10
10
00
11
10
01
10
10
00
10
10
01
00
11
10
10
00
10
00
00
10
11
10
00
10
10
00
10
10
10
10
01
10
01
10
10
01
01
10
11
10
01
01
00
11
10
10
00
00
01
11
00
01
00
00
00
01
10
11
00
00
00
10
00
10
01
10
00
10
10
00
00
10
11
11
10
00
00
01
11
00
01
10
00
01
10
10
00
01
10
00
00
00
10
11
11
10
11
11
00
10
10
01
10
10
00
10
10
00
10
10
10
11
10
10
11
10
01
11
00
00
10
10
01
01
10
00
10
01
10
00
10
11
00
01
01
11
00
00
11
10
01
00
01
11
00
01
10
01
11
01
01
10
10
00
10
11
10
01
10
01
10
01
00
11
10
00
11
10
10
10
01
00
00
11
00
10
10
11
01
00
00
00
00
10
11
01
00
00
11
10
01
10
10
10
00
10
11
01
00
01
00
11
10
10
10
00
10
00
00
10
00
00
01
11
10
00
01
00
00
00
11
10
00
10
00
00
11
00
00
00
11
00
01
10
10
01
00
00
10
10
01
10
00
10
10
11
00
11
00
00
11
11
01
10
11
00
11
01
01
10
10
00
11
11
00
10
00
10
00
00
10
00
10
11
00
10
10
00
01
00
10
11
00
00
10
11
00
10
00
01
10
01
01
10
11
00
10
10
00
01
00
11
10
00
00
10
00
00
00
11
00
00
00
00
10
00
00
00
11
00
00
00
01
00
10
10
00
10
10
01
10
11
00
00
00
10
10
01
11
01
00
10
00
01
00
10
10
00
11
11
10
00
00
10
01
10
01
00
10
01
01
11
11
10
00
10
11
00
01
10
10
01
00
11
00
00
11
10
10
01
10
01
10
10
00
10
00
10
01
00
10
10
10
00
11
10
10
10
00
10
10
00
01
01
10
10
11
00
11
10
00
10
11
00
01
10
11
00
11
10
10
01
01
01
10
10
00
10
10
00
10
10
01
10
10
00
10
11
00
00
00
10
10
01
01
01
11
00
00
00
10
01
01
11
10
10
11
11
00
01
00
10
00
00
10
11
00
01
00
01
10
01
10
01
11
11
00
00
10
11
10
01
00
11
10
00
01
00
00
10
11
11
00
10
11
01
00
11
10
00
00
10
00
00
10
10
10
11
10
01
11
10
11
00
10
10
00
11
11
00
00
01
00
11
11
00
00
10
10
10
11
01
00
00
10
11
00
01
10
11
10
00
00
10
01
11
11
00
01
00
00
10
00
00
10
00
10
10
01
00
11
11
10
11
00
01
01
00
11
01
10
10
00
01
10
11
01
00
10
10
00
00
10
11
00
00
00
01
10
10
10
00
11
00
01
11
10
11
11
00
00
01
00
10
11
00
11
00
10
00
00
11
10
11
00
01
11
10
00
10
10
10
10
00
10
11
00
00
00
00
11
01
00
10
10
10
10
01
00
10
00
10
10
00
00
10
01
00
10
10
10
00
00
10
01
10
10
10
11
00
10
10
10
00
00
01
10
11
10
00
00
10
10
10
10
10
10
10
01
00
10
11
10
11
01
10
11
00
01
10
11
00
10
10
11
10
00
10
00
11
10
00
00
10
00
00
01
10
10
00
10
10
10
11
00
01
10
10
10
00
10
01
10
10
00
00
11
00
11
11
11
01
00
01
00
00
10
01
10
10
11
00
10
10
01
10
00
01
00
00
10
11
11
00
10
00
00
11
00
10
10
00
00
11
10
00
00
00
11
10
00
01
00
10
11
00
11
01
01
10
00
00
10
11
01
01
01
11
00
10
10
11
10
00
10
11
00
00
00
11
11
11
01
01
11
00
00
10
11
00
00
11
11
10
11
00
00
00
00
10
10
10
00
11
00
00
10
10
10
00
01
10
01
01
11
01
11
10
01
10
10
11
10
01
00
01
00
11
11
01
00
10
10
10
10
00
00
01
00
10
10
00
10
10
10
00
00
10
01
00
01
00
10
00
10
11
11
01
00
01
00
10
10
00
00
11
11
00
11
10
00
10
00
10
10
00
00
00
10
11
00
00
00
00
10
10
00
10
10
11
10
01
01
10
00
00
00
10
10
00
10
00
00
00
00
10
11
01
10
00
01
00
11
10
01
00
10
10
01
00
11
10
00
10
11
10
01
01
10
11
00
10
01
11
11
01
11
00
00
10
10
00
00
11
10
10
00
00
00
10
00
01
00
11
00
10
10
00
01
10
10
10
00
00
10
11
00
00
00
00
10
11
10
01
11
11
00
11
00
11
11
00
00
10
01
00
11
01
11
11
00
10
10
10
10
00
00
10
00
00
11
00
10
00
01
01
10
01
10
11
11
01
01
11
11
11
01
00
01
00
00
10
11
00
00
00
10
11
11
01
10
11
10
00
10
00
00
11
10
00
10
00
10
11
00
01
10
10
10
00
10
00
00
10
01
00
00
00
10
01
00
01
11
10
01
00
10
01
00
10
10
11
00
01
01
10
01
01
10
10
10
01
10
00
01
10
00
00
10
11
01
01
01
10
00
01
11
10
10
00
00
11
11
00
10
10
11
11
10
00
00
10
00
01
00
01
11
00
01
10
10
01
10
11
00
10
00
10
01
10
01
00
10
00
10
00
00
10
11
11
00
01
00
10
10
11
00
00
00
10
11
00
01
01
11
10
00
10
10
00
00
00
00
00
10
10
01
01
10
10
10
11
00
11
01
00
10
10
01
00
00
10
10
00
10
01
10
10
01
00
00
11
11
01
10
10
00
00
10
00
10
10
11
11
10
11
10
01
00
10
00
00
00
10
10
01
00
00
10
00
00
00
00
01
11
10
10
10
00
00
00
10
11
10
01
10
11
11
10
00
00
00
10
00
01
00
00
10
00
10
00
10
00
11
10
10
00
10
11
00
10
10
00
00
01
11
11
10
10
10
00
01
10
10
01
01
10
01
10
10
00
10
00
00
00
10
00
10
01
10
11
01
00
10
00
00
10
11
00
00
01
11
10
01
11
00
10
00
10
10
01
00
00
10
10
11
00
10
11
10
01
11
00
10
00
00
11
10
01
01
10
10
00
11
10
01
01
11
10
10
01
10
00
00
01
10
11
10
10
00
01
00
11
10
00
11
10
10
00
00
11
11
10
01
10
10
10
11
10
10
00
01
00
00
11
01
10
10
01
11
00
01
00
00
10
00
01
10
01
10
01
11
11
11
10
10
11
10
01
00
01
10
00
00
10
11
01
00
11
10
10
00
10
01
11
10
01
10
00
10
10
01
00
00
10
10
10
10
01
10
10
10
10
10
00
11
00
10
01
00
10
10
00
10
00
11
10
11
10
11
00
00
10
10
00
10
11
00
10
10
00
01
11
00
00
10
11
11
01
10
11
10
00
00
00
10
10
00
10
10
10
11
01
00
00
00
11
01
00
10
10
00
10
00
01
00
10
11
00
11
00
00
10
00
10
00
10
11
10
00
10
00
11
01
01
01
00
01
10
10
11
00
00
10
11
11
11
00
11
00
11
10
00
00
10
00
10
10
01
11
00
10
11
10
01
00
10
00
10
00
10
11
01
00
10
11
11
01
10
01
10
10
01
00
00
10
00
01
10
11
11
00
00
10
00
10
10
00
01
01
10
11
00
01
10
10
10
01
10
11
00
00
01
11
00
10
11
00
10
00
11
00
10
11
00
00
01
10
11
00
00
10
10
11
01
00
11
00
11
01
00
11
00
01
10
11
11
10
01
11
00
11
11
00
01
00
11
01
10
00
01
00
11
00
00
00
00
10
11
10
01
10
00
10
00
00
00
00
10
00
10
10
10
01
10
10
11
00
00
00
10
10
11
11
10
00
10
11
10
10
01
00
10
00
01
10
01
01
10
11
11
01
00
00
10
10
11
01
00
10
10
10
00
00
00
10
00
00
10
10
11
00
10
01
00
00
10
01
00
10
01
11
01
11
11
00
10
00
10
10
00
11
11
11
10
10
10
00
01
10
11
01
01
11
11
01
11
10
01
00
10
10
01
10
00
01
00
00
10
00
01
00
11
11
00
00
00
10
10
00
00
01
00
11
10
00
00
00
00
11
00
10
10
00
00
10
10
11
01
00
10
00
00
01
00
00
10
10
00
10
01
10
10
00
00
10
11
11
00
11
00
01
00
10
01
01
11
10
00
00
00
01
00
10
10
01
00
00
11
10
00
11
11
00
10
01
11
10
00
11
00
11
00
10
10
00
11
10
11
01
00
01
00
11
00
01
10
01
10
10
01
00
11
10
00
00
10
00
01
10
10
10
10
10
00
10
11
01
01
11
10
11
00
01
01
11
00
10
11
10
00
00
01
10
00
00
10
00
01
10
10
10
10
00
10
00
01
00
10
10
00
00
11
11
00
11
00
01
10
00
11
11
10
00
11
10
11
01
01
10
01
01
10
10
00
10
10
00
01
11
00
00
10
10
00
00
10
11
00
01
10
00
00
10
10
01
00
11
10
00
00
00
00
10
10
01
00
01
00
10
00
01
11
10
00
00
00
00
00
10
00
10
00
10
00
10
00
10
11
00
00
00
01
00
00
00
10
10
01
00
11
11
00
10
10
00
10
10
00
00
10
10
00
10
11
10
01
00
00
00
10
00
00
01
10
10
00
01
00
01
11
00
00
00
01
11
10
00
01
10
10
00
11
10
11
00
00
11
00
01
10
10
00
10
01
01
10
10
01
11
11
10
10
00
10
01
00
00
11
11
00
01
11
10
00
10
00
00
10
10
01
11
00
10
11
10
10
01
00
10
10
00
01
00
10
00
11
00
10
10
10
11
10
01
01
10
01
00
00
01
00
10
00
01
11
10
00
00
10
00
10
00
11
10
00
10
11
11
10
00
01
10
10
00
10
10
10
10
11
00
00
00
11
01
10
00
00
00
11
00
10
11
00
11
10
10
10
10
00
01
11
10
00
00
10
01
00
10
00
10
10
00
00
11
11
00
00
00
10
10
10
00
00
10
10
11
00
11
00
01
10
10
11
00
00
01
10
10
00
00
00
00
10
11
10
01
10
00
01
10
11
10
00
00
01
01
10
11
00
00
10
11
00
01
10
10
11
00
00
00
10
10
00
10
10
01
00
10
10
10
10
00
10
00
00
00
00
11
00
11
10
10
00
11
00
11
10
01
11
11
00
00
00
10
00
00
11
01
00
10
01
10
00
00
00
11
10
00
00
10
11
00
10
00
00
01
10
00
01
10
10
10
10
10
01
00
00
00
10
10
00
10
10
11
10
00
00
10
11
00
01
10
10
00
10
10
00
01
11
01
11
11
11
11
00
01
10
00
00
10
11
00
01
01
10
10
00
10
10
10
00
01
00
11
00
01
00
00
00
10
01
11
11
01
00
00
10
11
10
00
01
00
10
10
11
00
10
00
10
10
11
01
01
00
11
11
00
10
11
10
00
00
00
00
01
10
00
11
10
00
10
10
00
00
01
11
11
00
00
10
10
10
01
01
10
00
11
10
00
11
00
00
00
00
10
00
01
00
10
00
00
01
10
00
00
00
10
00
10
10
11
10
01
10
00
10
00
10
10
01
00
11
10
00
01
10
00
00
10
11
11
00
00
10
11
00
00
10
01
11
00
00
00
11
11
01
01
10
00
01
11
00
01
10
11
10
01
10
10
10
00
11
00
00
10
00
00
01
10
10
00
00
00
11
00
01
11
11
10
01
01
10
10
00
10
11
00
00
11
10
01
11
11
01
00
00
10
10
00
00
11
10
00
10
01
00
01
10
10
01
11
00
01
10
11
01
01
10
00
11
11
01
00
01
10
10
11
00
01
10
00
00
01
10
11
10
11
01
00
00
11
00
01
11
10
10
11
00
00
10
11
00
01
00
10
10
01
01
00
10
10
00
01
00
00
00
10
10
10
10
00
00
11
00
00
01
10
10
00
01
11
10
10
00
10
00
10
10
01
11
11
01
01
11
10
00
11
10
00
00
10
00
10
00
00
00
01
10
10
00
10
10
00
00
10
10
01
01
10
10
10
10
11
01
10
11
10
00
11
10
00
10
00
00
01
00
00
01
10
01
10
00
10
10
00
00
00
11
10
00
00
10
10
10
11
00
10
00
10
00
00
10
10
01
11
01
00
10
00
00
00
10
11
01
00
11
00
00
01
00
01
10
10
10
11
10
00
01
10
01
01
10
10
01
11
10
01
01
10
11
00
00
10
10
01
00
01
11
10
01
10
01
10
11
00
00
10
10
11
00
01
10
01
11
11
00
10
00
00
00
00
10
10
10
10
10
10
01
01
00
11
11
00
01
10
11
11
00
01
10
01
00
10
01
00
01
00
11
10
10
00
10
11
00
10
00
00
10
00
00
10
11
00
01
10
10
10
00
00
10
00
01
00
11
00
01
00
10
10
11
00
01
10
01
01
10
10
00
10
10
01
01
00
10
10
10
00
11
10
00
10
11
10
00
10
00
10
10
10
01
01
01
10
10
00
10
00
00
11
10
01
11
10
10
10
11
01
00
01
10
11
11
10
00
11
10
10
10
00
00
10
00
01
11
10
10
10
00
00
10
00
01
10
01
00
01
00
01
10
10
11
10
11
00
11
01
11
11
01
10
10
10
00
10
11
10
01
10
00
00
01
01
00
01
10
10
00
10
00
11
10
01
00
00
00
10
10
10
00
00
01
01
00
00
00
00
10
00
10
11
10
11
11
11
01
01
10
01
10
11
01
00
10
10
00
00
10
10
00
10
11
01
00
00
11
00
00
00
11
00
00
00
10
00
01
10
00
11
10
10
01
00
10
00
11
10
10
11
00
11
11
10
10
01
10
10
10
00
00
10
01
10
10
01
11
10
11
01
00
10
10
00
10
00
00
00
00
00
10
00
00
00
10
10
01
10
00
10
11
01
11
10
00
11
00
10
10
10
00
01
10
10
01
10
10
01
00
00
00
10
00
10
01
00
10
10
01
00
10
11
00
11
10
10
10
00
00
10
00
10
10
01
11
10
00
01
00
01
11
10
01
11
11
00
11
10
00
10
01
00
00
10
11
10
10
00
11
11
01
11
00
00
01
00
10
10
11
01
00
00
01
10
00
10
00
10
10
00
10
10
00
00
11
00
10
01
01
10
10
01
00
01
10
00
00
00
10
00
01
11
01
00
10
01
01
00
11
10
00
00
00
10
10
10
00
10
01
01
11
00
00
10
11
00
00
01
10
10
00
10
01
10
00
11
10
10
10
00
00
10
00
00
11
00
00
01
11
01
10
00
10
00
10
10
01
00
11
00
01
00
01
00
01
00
10
11
01
00
10
00
00
00
00
00
10
01
11
11
11
01
00
01
10
10
10
00
00
11
10
00
11
00
01
10
01
01
00
10
11
11
01
10
10
00
10
11
01
11
10
10
00
10
10
10
00
00
11
11
00
11
10
01
00
00
00
10
10
01
11
00
01
01
11
10
10
00
01
00
11
10
00
00
01
00
10
11
00
00
00
10
10
00
11
00
10
10
00
10
01
11
01
00
00
10
11
10
00
00
10
01
10
11
11
10
10
00
00
00
01
10
00
10
00
01
10
00
10
01
10
00
00
10
11
10
10
10
00
11
01
10
01
01
10
00
11
00
00
11
10
00
10
10
00
11
10
10
01
11
10
01
00
10
11
01
10
10
01
01
10
10
00
01
00
10
10
11
00
10
11
00
10
00
01
01
10
01
00
10
10
00
01
10
11
11
00
00
00
10
10
01
00
01
00
00
10
01
10
00
10
11
00
10
00
10
11
11
01
00
10
10
10
10
11
11
00
01
10
10
10
00
00
11
10
00
10
01
10
11
00
00
00
10
10
10
11
00
11
10
10
11
01
10
10
10
00
10
10
00
11
10
00
10
01
01
00
10
10
00
00
00
10
00
01
10
00
00
00
10
10
00
10
10
00
01
00
00
00
11
10
10
10
01
00
10
00
00
01
00
00
10
10
11
01
01
11
00
01
10
00
00
01
10
11
11
10
01
00
00
01
10
11
10
00
00
01
00
11
01
00
10
00
00
10
01
00
00
10
00
10
10
10
10
10
11
10
10
10
00
00
00
00
01
01
11
10
11
10
00
10
10
00
00
01
11
10
01
10
10
00
00
00
00
10
10
00
00
00
10
10
10
01
00
01
00
10
10
11
10
01
10
10
00
11
10
10
00
00
10
10
10
00
10
01
01
00
00
00
00
11
10
01
00
11
10
10
00
10
11
00
01
11
01
01
10
00
00
01
10
10
11
00
00
10
10
10
10
11
00
00
10
00
01
01
11
00
10
10
01
01
11
10
01
01
00
01
00
10
11
10
00
01
11
11
11
10
00
00
10
11
00
00
10
10
00
01
11
11
10
01
11
10
01
01
10
10
11
00
01
00
10
00
00
10
10
01
10
10
10
00
01
00
01
10
11
00
10
10
10
10
00
01
10
00
00
10
00
10
01
00
01
10
10
11
01
00
01
00
10
10
00
00
00
10
10
11
00
11
00
10
01
01
10
10
00
00
00
10
10
10
00
00
11
10
10
00
10
00
11
00
11
01
10
00
00
11
11
11
11
10
00
00
00
10
11
01
01
01
10
00
00
01
00
01
01
10
11
11
10
10
01
10
00
11
00
01
11
10
01
00
11
10
11
00
00
10
11
10
10
01
10
00
00
10
01
10
10
11
10
00
01
11
11
00
10
10
10
10
11
00
01
10
01
00
11
01
01
10
11
00
11
00
01
00
10
00
00
00
10
00
11
10
00
10
10
00
01
00
00
11
11
00
10
10
00
01
00
11
11
10
01
10
10
01
11
10
00
00
10
00
01
11
01
00
00
10
01
10
00
00
11
00
01
11
11
11
10
10
00
01
11
01
10
10
00
01
00
10
01
11
11
10
11
00
10
00
01
11
11
10
00
10
01
10
10
10
00
00
00
11
00
00
00
00
00
01
01
11
00
00
00
00
10
10
10
00
11
10
00
10
10
00
00
01
10
11
00
01
11
10
00
00
10
10
01
00
11
01
00
10
00
11
10
10
00
11
10
11
00
10
10
10
11
10
01
00
01
10
10
01
00
01
00
00
10
00
00
10
10
00
10
11
10
00
10
10
11
10
01
10
10
11
00
10
10
10
00
01
10
11
10
00
10
00
10
11
10
00
01
10
00
10
00
11
10
00
10
00
00
00
00
00
11
11
00
11
00
11
10
11
01
00
10
10
01
01
11
01
11
00
00
10
00
10
11
00
01
00
00
10
10
11
10
10
10
00
00
01
10
10
11
00
01
10
00
10
10
00
00
00
11
10
01
00
00
00
11
10
10
10
01
11
00
11
00
00
01
01
10
00
00
10
00
10
01
01
10
10
10
11
00
10
01
00
11
11
10
11
11
01
11
10
11
00
00
10
00
01
11
00
00
10
10
11
00
00
10
00
01
10
10
10
00
01
11
11
01
00
11
11
00
01
01
10
10
10
10
01
00
11
00
10
00
00
10
00
11
10
11
01
10
01
10
00
11
00
00
00
01
10
10
10
10
10
11
01
01
00
00
11
11
00
10
10
10
00
00
10
00
00
01
11
10
00
00
01
01
10
00
00
10
10
11
00
01
00
10
00
01
01
01
00
10
10
10
00
11
00
00
00
00
00
10
00
10
10
10
00
11
10
00
11
00
00
10
00
10
10
10
00
10
11
00
00
10
01
01
10
01
10
10
11
00
01
00
00
01
01
10
11
10
10
01
10
10
00
10
00
00
01
10
10
01
00
10
10
11
00
11
10
00
10
01
10
10
00
00
00
00
01
10
00
10
11
00
01
10
10
00
00
10
10
01
10
10
01
01
10
00
10
10
10
10
11
00
11
10
00
00
00
10
00
01
10
11
11
00
01
10
11
01
10
11
10
01
00
10
10
10
00
01
10
01
01
10
10
01
10
10
10
01
00
10
10
00
00
00
01
11
11
00
10
00
00
10
00
00
11
00
11
00
00
10
11
00
01
10
01
10
00
11
01
01
10
00
00
10
10
11
01
00
11
10
10
00
00
10
10
00
00
01
10
11
10
01
01
01
10
11
10
00
01
10
10
00
00
10
00
10
11
00
10
00
00
10
00
01
10
01
10
10
00
00
11
01
11
10
10
00
00
11
00
11
10
10
10
00
10
00
10
10
11
10
00
00
10
10
11
10
11
10
10
11
00
10
11
10
00
00
10
10
10
00
00
10
01
00
10
00
11
01
00
10
10
00
00
11
01
11
11
10
00
00
10
10
11
01
00
00
01
11
11
11
00
10
10
00
11
01
00
10
00
00
00
10
11
10
11
10
10
00
11
10
00
11
10
01
01
10
00
01
11
10
01
00
01
00
10
00
00
10
10
10
00
00
10
00
00
11
00
10
01
01
10
01
01
10
00
10
11
00
01
11
00
01
10
11
00
10
10
10
00
00
10
11
01
11
10
01
01
01
10
00
00
11
10
01
11
00
00
10
10
11
00
11
01
01
10
10
10
00
01
00
00
10
00
00
00
10
10
00
10
10
10
01
00
01
10
10
01
11
11
11
00
00
01
10
10
01
00
00
11
00
10
00
00
01
00
10
00
11
10
10
01
00
00
11
00
00
01
00
11
10
00
10
00
10
00
11
10
10
01
01
00
01
10
10
01
01
00
00
00
11
10
00
10
10
00
10
00
01
01
11
10
00
01
00
00
10
01
01
11
00
10
10
10
11
01
00
10
01
00
00
11
10
01
10
10
11
10
11
00
01
10
01
10
01
10
00
00
10
00
10
11
10
11
01
00
10
10
01
11
10
00
00
10
01
01
10
11
01
01
01
10
10
10
10
01
10
10
01
11
01
01
11
00
11
11
11
11
00
01
11
11
00
01
10
10
11
10
11
00
01
10
10
10
11
00
10
10
00
00
00
00
00
10
01
11
01
00
10
01
00
10
00
00
11
11
11
11
10
10
00
01
00
11
00
00
10
10
10
10
10
00
00
11
11
00
10
00
11
10
00
00
00
00
01
00
11
01
01
10
10
00
10
10
00
10
10
01
10
01
11
10
11
10
11
10
00
00
00
11
11
10
00
00
10
10
00
00
11
10
01
00
00
10
10
00
00
00
10
10
00
10
00
01
10
00
00
00
10
00
11
01
10
00
10
01
10
11
01
00
01
10
10
01
00
10
10
10
00
00
10
10
10
10
10
10
01
01
11
10
10
10
01
10
00
00
10
00
11
00
00
11
01
10
01
10
01
00
00
01
11
10
00
10
00
01
00
11
10
00
00
10
00
00
10
10
01
00
10
01
10
11
01
00
10
10
01
01
01
11
01
10
01
10
11
00
00
11
10
01
00
10
10
01
00
10
00
00
00
10
00
10
10
00
00
10
00
10
10
01
11
11
10
10
01
01
11
10
00
01
10
01
00
11
00
00
11
10
10
00
10
01
10
10
10
00
00
00
10
00
10
01
10
11
00
11
00
00
10
10
00
00
00
11
10
00
11
00
10
10
10
00
11
10
11
10
10
00
10
00
00
11
10
10
00
00
01
00
01
10
01
00
10
10
00
11
10
00
01
00
00
11
11
10
01
10
11
00
11
01
00
00
11
00
00
10
11
00
01
10
11
00
11
11
10
00
00
00
10
00
01
11
10
11
00
00
10
10
01
01
10
10
11
10
01
10
10
10
00
00
11
10
01
10
11
00
00
11
00
00
10
11
00
10
00
01
10
01
11
11
01
11
01
01
00
10
00
01
11
10
11
00
10
00
10
10
00
00
10
10
00
01
00
10
00
10
00
10
10
00
00
00
10
00
11
00
00
10
00
11
10
00
00
10
11
11
00
00
10
10
00
00
11
11
11
11
10
00
10
10
11
00
00
01
00
00
10
10
11
10
00
01
10
10
10
00
00
00
10
10
01
10
01
10
01
10
00
00
11
10
00
01
10
10
00
00
11
10
00
00
01
10
11
01
00
10
00
00
00
00
10
11
10
10
10
01
10
01
00
00
11
10
10
00
00
11
10
10
01
00
10
10
01
11
00
00
11
00
11
00
11
01
10
10
01
00
10
10
00
11
00
10
10
11
11
00
10
01
11
00
11
01
10
00
11
10
01
10
10
00
11
10
00
10
11
00
01
10
00
10
00
10
10
10
00
00
11
11
00
01
10
00
00
01
01
00
11
00
11
11
01
10
10
01
00
10
11
10
11
10
00
01
01
10
00
11
00
01
00
10
00
00
00
10
10
10
10
10
11
00
10
01
01
01
10
10
00
00
10
00
10
11
01
11
00
01
10
01
00
11
11
00
01
10
00
00
10
00
11
01
10
10
00
01
10
00
00
11
10
00
00
11
11
00
10
01
01
11
00
11
10
00
01
11
11
00
00
00
00
01
10
11
00
01
10
01
10
10
00
00
00
10
11
00
01
00
10
11
00
10
00
01
10
10
10
10
10
00
00
01
10
11
10
10
00
00
00
00
00
11
01
10
10
01
00
01
10
00
01
10
00
01
00
10
10
11
00
10
11
01
01
10
11
11
11
00
11
10
00
00
10
01
00
10
10
01
00
10
10
00
00
10
11
10
01
10
00
01
11
01
10
00
01
01
10
10
01
00
10
00
00
01
10
10
00
00
10
01
00
10
10
10
01
00
10
01
00
11
00
01
00
10
10
11
10
01
01
11
00
00
00
10
01
00
11
00
10
10
10
11
00
01
10
00
11
00
00
01
00
11
00
00
00
10
00
00
00
10
00
01
10
00
00
00
00
00
11
11
11
10
00
00
10
11
10
10
00
10
11
00
10
00
00
11
10
11
01
11
11
11
01
00
11
00
00
10
11
00
01
01
10
00
01
00
10
11
00
01
10
11
00
11
11
10
11
01
11
01
01
10
10
10
01
01
10
10
00
00
10
10
00
01
10
00
10
00
00
00
10
10
00
11
01
10
10
01
00
10
01
01
01
11
00
11
10
10
01
00
10
10
10
01
10
10
00
01
00
01
00
10
11
00
10
01
11
10
00
10
11
10
00
00
10
01
11
11
00
11
11
10
00
11
11
01
00
11
00
10
11
00
00
00
10
10
10
01
00
00
10
00
10
00
00
10
00
00
00
00
10
01
00
01
10
10
10
10
00
01
00
10
00
00
00
00
00
00
10
11
10
10
01
00
01
00
10
10
10
11
10
00
01
00
10
10
00
00
10
01
00
01
10
10
00
10
11
10
10
00
10
10
00
01
00
01
01
11
10
00
00
10
10
10
00
00
10
11
01
00
10
00
11
00
11
10
10
10
11
10
01
01
10
00
01
11
01
00
11
00
01
00
01
11
10
01
00
11
11
11
10
00
10
10
01
00
00
10
10
00
10
11
00
10
11
00
11
10
01
01
01
00
10
11
10
00
00
10
10
11
11
00
01
00
10
00
11
00
11
10
00
00
11
00
01
00
11
01
01
11
10
01
01
10
11
00
00
10
00
00
10
10
00
11
10
00
00
11
01
10
00
11
00
10
10
00
11
00
11
11
10
01
10
10
00
00
11
00
11
10
10
00
10
01
00
11
10
00
10
10
00
00
00
10
00
11
00
10
00
01
10
01
10
01
11
11
00
00
01
10
00
00
00
11
11
10
10
00
10
01
10
00
11
01
10
01
01
00
01
10
00
10
11
10
11
10
00
00
00
00
00
10
10
00
10
00
00
10
00
10
01
10
10
00
10
11
10
00
10
01
00
01
11
01
10
11
01
10
01
00
01
00
10
01
11
10
01
00
10
00
10
10
01
10
10
11
01
10
00
10
10
01
10
10
00
01
00
10
01
01
00
00
10
11
00
00
00
10
11
00
01
00
10
10
10
11
00
01
10
10
00
10
10
00
00
10
00
10
10
10
01
11
10
10
10
11
00
11
00
00
10
01
11
00
11
01
11
11
11
00
11
00
01
11
00
01
11
01
00
10
00
10
00
10
11
01
01
01
00
01
00
11
10
01
10
10
10
00
11
10
00
00
00
00
11
01
01
10
11
10
01
11
10
11
00
00
11
11
00
00
11
00
01
10
10
00
00
10
10
10
01
01
10
01
00
01
01
00
10
00
10
00
01
10
11
00
00
00
10
10
00
10
10
11
00
00
10
10
11
01
00
11
00
10
10
00
10
00
11
10
10
00
10
00
10
00
01
01
11
00
00
00
00
00
00
11
11
00
01
10
00
00
00
00
10
10
10
00
11
11
00
01
11
11
01
10
00
00
10
10
11
00
11
11
01
00
01
00
10
00
00
10
01
01
10
01
11
10
11
10
00
00
00
01
00
01
10
00
00
11
01
01
10
11
00
00
01
01
11
11
10
00
10
11
10
11
01
00
00
00
11
10
00
01
10
10
01
00
10
01
11
01
10
11
00
10
00
10
01
00
11
10
10
10
01
10
10
10
01
11
10
01
01
11
10
10
10
00
00
01
00
10
11
11
10
11
11
10
00
10
01
11
10
00
10
00
11
01
00
00
10
10
00
10
11
01
00
01
01
00
00
10
00
00
00
10
10
01
00
01
00
10
01
00
11
10
01
00
10
01
10
10
00
01
10
11
10
10
10
00
01
00
11
11
01
10
00
00
00
01
10
10
00
00
00
11
00
01
00
10
11
10
10
00
00
10
00
10
00
00
11
00
10
00
00
00
00
10
10
11
00
01
01
00
00
10
10
00
01
00
01
10
00
10
10
10
00
00
11
00
01
10
00
10
01
00
00
10
00
01
10
00
10
01
01
10
10
11
00
10
00
00
01
00
01
11
10
11
01
00
01
10
10
00
00
10
10
11
00
11
01
11
11
10
10
00
00
10
11
10
01
10
11
10
00
00
10
00
01
00
11
10
10
00
00
10
00
01
11
11
10
01
10
01
10
00
00
10
10
10
10
00
00
00
10
11
00
00
10
01
00
10
10
01
01
10
10
11
00
10
11
00
00
10
01
01
11
11
10
11
10
11
00
01
10
10
00
00
10
01
10
10
00
01
00
10
00
10
01
00
11
00
00
00
10
11
00
11
11
10
00
10
01
00
00
10
00
10
10
11
10
01
00
10
01
00
00
10
11
11
10
00
00
01
10
11
11
00
00
10
01
00
11
10
00
10
10
10
10
01
00
01
10
11
01
10
10
00
10
10
10
01
00
10
10
11
00
10
10
10
00
00
11
10
11
01
00
10
10
00
00
00
10
10
11
00
00
10
00
00
00
01
10
00
10
10
00
11
01
11
00
00
00
00
10
10
00
01
01
01
00
11
00
00
10
00
01
11
10
00
11
00
00
11
10
11
00
10
11
00
11
00
00
10
10
00
00
11
00
01
01
10
00
10
00
01
11
10
01
10
10
11
11
10
00
01
11
10
11
01
01
00
00
11
00
11
10
10
01
10
10
00
00
11
00
11
10
00
01
11
00
00
10
10
10
11
00
10
00
11
00
00
01
10
10
00
10
01
00
11
10
10
00
00
10
10
00
01
10
11
10
00
00
00
00
10
10
00
11
10
11
01
10
11
00
00
10
10
00
00
01
10
10
00
10
10
00
11
00
00
10
11
00
11
00
01
10
10
00
10
01
00
10
00
11
10
00
01
10
01
00
00
00
00
10
11
00
10
01
01
11
10
00
00
10
10
00
11
10
00
01
00
11
00
11
01
10
00
01
00
10
01
10
11
10
00
00
11
10
00
10
10
10
10
11
10
01
10
00
10
01
00
10
10
00
01
10
10
00
00
11
11
10
01
00
10
11
00
11
10
01
00
11
10
00
10
10
00
01
10
10
01
00
00
01
11
10
00
10
10
00
11
00
00
10
10
00
01
00
11
00
10
10
00
11
10
10
00
11
10
00
01
10
00
00
10
10
11
10
00
00
00
00
00
00
10
00
00
00
10
10
01
11
10
01
11
10
01
01
10
00
10
00
00
10
10
01
10
00
00
00
00
00
00
11
11
00
11
00
00
00
00
10
00
10
10
10
10
01
11
10
11
11
01
11
11
01
00
11
11
00
00
11
10
01
00
10
11
10
00
11
01
00
10
01
01
00
00
11
01
10
10
01
00
00
00
10
11
10
00
01
11
10
01
01
00
10
10
10
11
01
00
00
11
00
00
10
10
00
00
00
10
10
10
10
01
10
11
01
00
11
00
10
10
00
00
10
11
00
11
11
00
10
11
01
10
10
01
00
11
01
11
01
01
10
10
00
10
01
10
11
00
10
10
01
00
00
10
00
10
10
00
11
01
01
00
10
01
01
01
00
10
10
00
00
00
11
10
11
00
11
10
11
00
00
01
00
10
00
01
10
00
01
11
10
11
10
10
00
01
10
01
11
11
00
11
01
01
00
10
01
00
00
10
00
00
00
10
11
00
11
01
10
10
01
00
10
00
00
10
10
10
11
11
00
01
01
10
10
01
00
10
00
01
00
00
10
01
01
01
10
11
01
00
10
00
10
10
01
00
00
11
11
10
10
01
01
00
11
01
10
10
00
01
00
00
11
11
00
01
00
10
01
10
10
11
00
00
10
10
00
00
10
11
00
00
01
00
10
10
10
10
10
10
00
10
10
01
11
11
00
01
10
10
01
01
10
11
00
10
00
00
10
00
11
00
01
10
01
01
10
01
11
00
00
01
00
01
01
10
11
00
00
10
11
00
00
10
10
11
10
00
10
10
00
10
11
00
10
11
00
11
11
10
10
10
00
01
00
10
01
00
00
11
00
11
00
10
10
10
10
11
10
00
10
11
11
10
00
10
00
00
01
00
10
00
01
10
10
10
00
11
00
00
00
11
10
10
00
00
10
10
10
00
01
00
10
10
10
00
10
10
11
10
10
11
10
00
01
10
01
00
00
10
10
00
00
10
10
10
10
01
10
00
10
01
00
01
00
10
01
11
01
00
10
00
01
11
01
11
11
00
00
10
00
11
11
00
00
00
01
00
11
10
00
00
10
10
00
01
10
10
00
01
00
00
10
10
10
10
00
11
00
01
01
00
10
11
00
11
11
01
10
01
00
10
11
00
01
10
10
00
10
00
10
00
00
10
10
10
10
00
10
10
00
00
00
01
00
00
01
10
00
00
00
11
01
00
10
00
10
01
01
00
10
10
10
01
11
10
10
01
01
01
00
10
10
10
01
00
00
10
10
00
10
00
00
10
01
01
10
11
00
10
10
00
10
11
00
00
10
10
00
00
10
10
10
10
00
00
11
00
10
01
11
10
11
10
01
01
10
10
00
01
11
11
00
11
01
10
00
00
10
00
00
11
11
01
00
10
10
01
01
00
10
11
10
11
00
00
10
10
10
11
10
00
11
00
00
10
10
10
11
01
01
10
00
01
00
01
00
11
11
01
10
00
00
11
01
00
11
10
11
10
01
00
10
10
01
10
10
00
00
00
10
00
00
10
10
00
10
10
10
00
10
00
10
11
01
01
01
00
10
10
01
10
01
00
01
00
00
00
00
00
10
00
00
00
10
00
11
11
01
01
11
10
00
00
00
10
11
00
11
01
00
11
10
01
10
01
00
01
10
11
11
00
01
01
11
10
11
11
00
10
10
10
01
00
11
00
01
10
11
00
00
01
10
10
10
11
00
01
10
10
01
00
10
11
10
00
10
01
00
01
01
10
01
01
00
01
01
11
11
00
00
00
00
10
10
00
01
10
10
00
01
00
10
10
10
10
11
10
00
10
11
01
11
10
00
10
01
10
11
00
00
10
11
10
00
00
00
10
01
10
00
11
10
00
11
00
00
00
11
01
10
10
10
10
00
11
10
01
10
10
00
00
10
11
00
10
00
01
01
10
10
00
00
11
11
00
00
10
01
00
10
00
10
11
10
00
00
11
11
00
11
10
10
01
00
01
10
10
00
10
01
00
00
00
01
00
10
10
10
10
10
01
10
01
11
11
10
10
00
10
11
00
01
10
11
00
00
00
10
00
00
01
11
00
01
00
10
10
11
00
01
01
10
00
10
10
00
00
10
00
10
10
00
10
11
11
11
00
01
00
01
00
10
10
00
11
00
10
10
10
10
11
00
00
00
00
10
00
10
10
01
01
10
11
10
10
10
11
01
00
11
10
00
00
10
11
10
10
00
00
00
11
10
10
10
01
00
00
00
01
00
11
11
00
00
11
01
00
00
10
10
00
00
10
11
01
11
00
10
01
11
10
00
10
01
01
11
10
11
01
01
00
01
11
01
11
00
10
10
00
01
10
10
00
01
10
01
00
11
11
10
10
10
00
00
10
10
01
01
01
10
00
10
01
01
10
11
10
10
01
00
00
11
01
00
11
10
00
00
01
00
11
10
00
10
10
00
10
11
01
10
11
00
01
10
10
00
10
01
00
11
10
10
00
00
00
10
01
10
10
00
01
00
01
11
10
10
00
10
00
01
11
10
00
10
00
10
00
00
10
10
00
01
10
11
01
10
01
11
01
10
11
10
11
00
01
00
10
10
01
01
00
10
11
01
10
00
01
11
11
10
01
01
01
01
01
11
10
00
00
00
11
10
00
01
01
10
10
01
00
00
00
10
10
00
10
00
00
11
10
10
11
01
00
00
11
10
10
11
00
00
10
11
11
00
10
00
10
10
11
01
00
10
10
10
10
10
10
11
10
00
01
00
00
01
00
10
00
00
11
00
11
00
01
10
11
10
01
01
10
11
11
00
01
10
10
00
01
11
00
11
10
10
10
10
01
00
10
10
11
01
11
01
10
10
01
10
01
00
11
10
01
00
00
00
10
01
11
11
01
10
10
00
01
10
00
01
11
11
00
10
10
00
00
10
00
01
00
00
01
11
00
10
01
10
00
01
10
00
01
10
11
11
00
01
00
10
10
11
01
10
00
00
00
00
01
11
11
11
00
10
10
10
00
01
10
00
00
10
10
00
11
01
11
00
00
00
10
01
01
10
10
00
01
10
11
01
11
10
00
11
10
00
10
10
00
10
11
10
01
00
10
10
00
10
00
00
11
11
00
01
10
01
01
10
01
00
10
10
01
00
10
00
00
10
10
00
00
01
11
10
11
10
01
00
00
10
00
10
11
10
00
00
00
00
10
01
10
00
01
00
00
11
00
10
00
01
01
00
10
00
10
10
10
00
00
10
10
01
10
11
00
01
11
10
10
00
00
11
10
00
01
00
10
00
10
11
11
00
11
10
00
10
00
00
00
01
10
11
00
00
00
00
01
00
00
10
10
00
10
10
00
11
11
01
11
00
10
10
11
00
01
11
11
00
00
00
01
01
10
10
00
00
10
00
11
00
01
00
10
10
00
00
10
00
01
10
11
10
10
11
10
00
00
10
10
11
00
00
10
10
11
00
00
10
11
00
01
00
11
10
10
11
01
01
10
10
10
10
00
00
00
00
10
01
11
10
00
11
01
10
11
10
01
10
10
10
00
01
11
11
10
00
10
10
01
10
01
01
11
01
10
00
11
00
00
11
00
01
10
10
01
10
10
10
10
11
00
00
10
00
00
01
00
01
10
10
01
10
10
01
00
10
01
10
10
00
10
10
00
00
01
00
00
10
10
11
00
10
10
10
00
00
00
11
00
00
10
00
10
11
10
00
10
10
10
00
00
10
10
01
01
10
11
10
10
00
00
11
00
00
10
10
10
10
01
10
00
00
00
00
10
00
11
11
10
00
11
01
10
01
00
01
11
01
01
11
00
01
00
01
10
11
11
01
00
10
01
01
11
11
01
00
10
00
01
10
00
11
10
10
00
10
10
00
10
01
01
00
11
10
00
00
01
10
10
10
01
00
00
10
01
11
10
00
11
11
00
10
11
00
01
00
00
00
11
11
10
10
01
10
01
11
10
10
10
01
00
00
00
10
10
01
00
11
10
01
10
01
01
11
00
01
10
00
00
00
11
10
00
01
10
01
00
10
10
00
11
10
01
00
10
10
01
11
00
10
10
01
10
01
00
00
11
00
01
01
10
10
10
10
00
10
10
01
00
00
10
00
10
01
00
01
00
10
10
10
10
00
01
10
11
10
10
10
10
00
01
10
00
01
10
10
01
10
10
00
00
01
00
10
10
00
00
10
00
10
11
00
10
10
10
01
01
10
00
11
00
10
11
00
11
10
01
00
00
10
11
10
10
00
10
10
11
10
00
00
00
01
00
10
11
01
11
00
01
00
01
00
10
11
01
10
11
10
01
01
11
00
01
10
10
10
10
00
00
11
10
01
00
00
01
00
10
10
00
01
00
10
00
00
00
11
11
01
00
00
00
10
11
10
10
00
00
00
00
01
10
01
00
11
11
00
11
00
10
10
00
00
10
00
11
00
10
10
01
11
10
10
01
11
01
00
01
10
10
00
11
01
01
01
10
00
11
10
11
00
00
11
10
01
11
11
00
10
10
11
01
00
00
00
11
10
11
10
00
11
10
01
00
11
11
11
01
00
00
10
10
00
01
10
00
01
10
00
10
10
00
00
00
00
11
10
00
00
00
11
10
00
01
11
00
01
00
11
10
00
00
00
10
10
10
10
00
10
01
01
01
01
10
01
11
10
01
00
10
10
00
00
10
00
00
11
10
00
10
10
10
10
01
11
10
10
10
01
00
00
01
10
10
11
11
10
11
00
01
01
00
10
11
01
00
00
01
00
11
10
11
01
01
10
00
10
11
00
01
01
11
10
00
00
10
00
01
10
10
00
00
00
10
10
00
00
01
10
00
10
00
01
10
10
10
01
11
01
00
00
00
10
10
01
10
10
00
10
10
00
10
00
01
01
00
01
10
00
11
10
11
00
10
11
01
11
00
01
10
11
11
00
01
11
01
10
00
00
11
11
00
01
10
10
11
10
11
00
11
11
00
00
00
10
10
01
10
10
11
01
10
10
10
00
10
11
00
10
10
00
11
01
11
00
00
11
10
00
10
10
01
01
00
01
01
00
10
10
11
00
10
10
00
00
00
00
00
01
10
11
01
01
00
10
11
00
11
10
10
00
00
10
10
00
11
00
01
00
10
00
00
00
10
10
00
10
10
10
10
00
00
00
01
10
10
10
01
01
00
10
10
10
10
00
00
01
00
00
00
10
11
11
11
01
10
10
10
00
01
10
00
01
00
00
10
11
01
00
10
11
01
10
10
10
00
00
10
00
00
10
11
11
10
00
11
11
00
11
11
00
00
11
00
00
11
11
11
01
01
01
10
11
11
10
00
11
10
00
01
11
00
01
10
11
10
10
00
01
01
00
00
10
10
01
00
00
11
00
10
10
10
01
00
10
00
01
00
00
00
11
11
00
00
10
11
10
11
00
01
10
10
00
00
00
11
10
01
10
01
00
00
00
10
01
10
00
00
01
01
10
00
10
10
00
01
10
00
10
00
10
10
00
00
10
10
00
00
11
10
00
00
10
10
00
10
00
00
00
10
11
10
01
00
11
10
11
11
00
10
10
10
00
10
11
00
01
10
00
10
11
00
11
11
00
00
10
10
10
11
00
10
01
01
11
11
01
01
00
00
11
10
11
00
00
00
00
11
00
10
00
11
10
01
01
10
00
00
10
00
01
00
11
00
01
10
10
10
00
00
11
11
10
01
01
00
00
10
10
00
01
00
00
10
10
10
11
10
00
01
10
11
11
00
01
00
00
11
00
01
11
10
01
01
11
10
11
00
11
11
00
10
00
10
10
00
10
11
10
10
10
10
11
00
00
01
10
00
11
01
11
11
00
00
11
00
10
10
00
00
00
10
10
11
11
00
00
10
00
00
00
10
00
11
11
00
01
10
10
00
00
00
00
00
10
10
10
10
10
01
10
11
00
01
10
11
10
11
01
01
10
00
01
11
10
10
01
01
10
10
10
00
00
10
11
00
00
11
11
11
00
00
00
01
10
00
10
11
01
11
00
10
00
11
11
00
01
10
10
11
10
00
01
01
10
10
10
10
10
01
01
00
00
01
01
10
10
11
10
00
00
01
10
01
00
10
01
00
00
00
10
00
01
00
11
10
00
10
10
11
00
01
10
10
01
11
10
10
10
11
00
01
11
10
01
00
01
10
10
00
00
11
10
10
00
00
01
10
10
10
00
00
00
00
00
00
00
10
10
01
00
11
10
10
10
10
00
00
10
11
00
00
11
01
01
11
10
01
10
01
10
10
01
10
11
00
00
10
00
01
10
11
00
11
11
10
11
11
11
00
00
01
11
11
00
00
11
10
11
00
11
10
10
10
10
00
10
01
00
10
00
00
01
10
11
00
11
11
00
01
10
00
10
10
10
01
00
10
00
10
10
00
10
00
00
10
10
10
00
11
10
11
11
11
10
00
10
00
10
00
10
10
11
10
00
01
00
01
10
01
00
10
10
11
01
00
01
00
01
00
10
10
10
00
00
00
10
00
11
00
10
10
01
01
00
00
00
10
11
10
01
00
11
11
11
10
10
01
00
10
10
00
00
01
00
00
10
11
11
10
00
00
10
10
11
00
11
00
01
10
10
00
11
10
00
11
10
00
00
10
00
11
11
00
11
10
00
11
11
01
00
10
00
00
10
11
10
10
10
00
10
11
01
00
01
11
00
01
01
10
10
00
10
10
00
00
00
00
10
11
01
10
01
00
11
10
00
00
10
01
00
11
11
10
01
11
00
00
00
10
11
00
00
10
11
01
01
11
10
01
11
00
01
11
00
00
10
10
10
00
00
11
10
00
11
10
01
10
00
10
10
10
10
00
00
01
00
01
10
10
10
00
10
11
10
10
00
00
10
00
00
01
00
11
11
01
10
11
10
11
00
01
00
10
01
01
00
11
10
00
00
11
10
10
11
00
00
10
00
00
00
10
10
01
10
00
10
10
10
10
11
00
00
01
11
01
00
01
00
00
10
00
01
10
11
10
01
10
00
01
00
10
10
01
01
10
11
00
11
01
10
00
10
00
00
10
01
10
10
01
00
00
00
00
10
01
11
01
00
10
00
10
00
10
10
01
11
10
00
00
01
11
10
10
00
00
10
10
10
00
10
10
00
01
11
10
00
00
01
00
01
10
00
10
10
00
10
00
00
10
00
01
10
01
00
11
01
01
10
10
00
01
00
10
10
00
01
00
10
10
10
11
10
11
00
00
11
10
10
10
10
00
00
00
01
00
01
10
00
10
10
00
01
00
11
10
01
10
10
10
00
00
01
01
10
01
00
00
00
00
10
00
01
10
11
00
00
01
01
00
00
10
11
00
01
10
10
10
00
01
01
01
11
00
10
01
00
01
00
00
11
11
00
11
01
00
11
10
11
10
01
00
00
10
01
00
10
11
00
10
10
11
10
10
00
10
00
00
10
10
10
00
01
00
10
11
00
01
10
01
00
10
01
00
00
11
10
01
00
10
11
00
10
10
00
00
00
10
11
01
01
10
10
01
01
11
10
11
00
00
00
11
10
00
00
10
00
10
00
11
00
10
00
10
10
00
11
00
01
10
01
00
00
01
10
10
10
10
01
01
01
00
11
10
10
11
11
10
00
00
11
00
00
00
00
10
01
10
11
11
10
00
10
10
00
10
11
11
01
01
00
01
01
11
10
10
10
00
00
10
01
00
01
00
00
00
11
10
01
00
10
10
00
10
11
00
01
11
00
10
10
01
01
00
10
11
00
10
01
00
10
11
00
11
10
00
00
00
10
00
01
10
10
00
00
00
01
11
10
10
10
00
11
10
01
10
00
00
10
10
11
00
01
11
00
10
01
01
11
10
00
00
10
01
00
11
10
00
00
01
10
10
00
01
10
00
11
00
00
11
10
00
00
10
01
01
00
10
01
11
10
01
01
00
10
01
00
00
00
10
11
01
00
10
10
10
10
00
10
00
00
00
01
10
10
00
10
01
00
10
00
01
10
01
00
00
00
10
11
00
01
11
10
00
00
10
11
11
00
11
00
00
01
11
11
01
01
10
11
01
01
01
10
10
11
10
01
00
00
10
11
11
10
10
11
10
00
01
11
11
10
00
00
00
01
00
00
11
11
01
01
01
10
10
01
01
11
10
10
01
10
01
10
00
00
10
00
10
10
01
01
10
10
01
10
00
00
00
10
10
00
00
11
00
00
10
10
11
10
11
10
01
00
10
11
01
00
10
10
00
00
11
10
01
00
10
00
01
11
00
10
10
10
10
00
10
00
11
10
11
10
01
10
11
00
11
00
00
10
10
10
00
10
01
11
11
00
10
10
11
00
11
01
00
01
00
10
00
00
00
10
00
11
10
01
11
11
11
11
10
00
01
10
00
01
01
11
11
00
11
10
00
00
01
10
00
10
00
01
10
10
10
11
11
10
00
00
10
10
00
01
01
11
00
10
10
10
10
10
00
00
01
10
10
00
11
01
10
01
10
01
10
10
00
01
11
01
10
10
11
11
01
10
10
01
11
00
00
00
01
10
00
10
10
01
11
10
00
00
10
11
00
00
11
00
10
01
00
11
00
11
10
00
01
10
11
00
01
11
00
11
10
10
00
10
01
11
10
00
10
01
11
00
10
00
00
11
00
01
00
11
11
10
10
10
10
10
10
00
10
11
01
11
11
00
00
00
10
00
01
10
10
10
00
01
00
11
11
10
00
11
01
01
00
11
11
11
00
00
00
11
10
01
01
10
00
11
00
00
01
10
01
01
00
00
11
10
10
00
01
00
10
00
10
01
10
10
00
00
10
10
00
00
10
11
10
10
10
10
00
10
00
01
10
10
10
00
01
00
00
11
00
10
01
00
10
00
00
10
00
00
11
01
11
10
00
00
00
01
10
01
00
10
10
00
11
10
00
10
10
00
00
00
01
00
11
10
00
10
11
01
00
00
11
10
11
01
00
10
10
01
10
01
01
00
00
10
11
10
11
00
01
11
10
11
10
00
10
00
01
00
11
00
10
10
00
00
11
10
00
00
00
01
00
11
10
11
10
10
00
00
00
00
01
10
00
01
00
10
00
10
10
11
01
00
01
10
01
00
00
00
00
01
10
10
00
10
00
00
00
00
10
00
10
11
00
00
00
10
00
11
00
10
10
01
00
11
10
10
11
10
00
11
00
00
01
00
10
00
00
11
11
00
10
00
00
00
00
11
10
00
10
10
00
00
01
10
00
01
10
01
00
10
10
00
00
10
00
00
00
10
00
11
00
10
11
00
01
10
00
00
10
00
00
10
10
10
00
00
10
00
11
11
00
10
00
00
11
11
10
00
00
00
10
00
10
11
10
00
00
00
11
01
10
10
00
10
10
00
11
00
00
00
01
10
11
01
00
01
10
01
00
01
11
01
10
11
10
01
10
11
01
01
11
00
01
01
00
11
00
00
11
11
01
10
00
01
10
10
11
00
00
10
01
11
01
11
11
11
10
00
00
10
00
00
00
00
00
01
10
11
11
11
00
00
10
01
00
10
10
01
10
10
00
01
00
11
00
10
11
00
10
00
01
11
10
01
11
11
11
00
11
10
01
00
00
11
01
00
11
11
10
01
00
00
10
11
10
11
10
01
10
10
10
01
10
10
10
00
01
10
11
10
10
10
00
01
00
11
10
01
10
10
00
11
00
10
10
00
01
10
11
00
01
10
01
00
00
10
10
11
11
10
01
10
10
00
01
10
10
01
01
10
10
10
10
00
00
10
01
10
10
11
11
01
10
11
01
10
11
10
00
00
00
10
00
00
10
00
01
10
10
00
00
01
00
00
10
00
10
01
00
10
00
10
11
11
00
01
00
11
11
11
00
00
10
10
10
11
10
01
01
10
00
11
00
11
10
00
10
10
10
00
00
11
10
00
10
10
01
11
10
00
10
11
10
01
10
01
10
11
00
00
10
10
10
00
00
10
11
10
00
01
10
01
01
01
10
00
10
00
00
11
00
01
01
10
01
00
11
01
01
10
10
10
01
00
10
11
10
10
00
10
10
01
00
00
01
10
10
10
00
10
11
00
11
10
11
00
10
01
00
11
10
01
11
11
00
10
00
01
10
10
00
00
10
10
10
01
11
10
00
00
10
00
10
11
00
11
10
11
01
00
00
10
00
01
10
00
11
00
10
10
00
11
10
00
00
00
00
10
00
00
10
10
10
10
01
00
00
00
00
00
01
10
00
00
00
10
10
10
00
10
10
00
10
10
00
01
01
10
10
00
00
11
10
11
11
11
00
00
01
10
00
00
00
10
10
00
01
01
11
00
01
00
00
10
11
10
01
10
10
10
11
00
00
11
10
00
11
11
10
10
10
01
01
10
00
01
01
00
11
11
01
10
10
00
10
11
01
00
10
00
01
00
11
00
10
11
01
00
00
00
10
00
00
10
10
00
01
10
10
00
00
10
01
10
11
10
01
00
00
11
00
01
01
10
10
00
00
00
00
10
00
00
01
10
10
00
10
10
00
01
00
10
10
10
01
00
11
01
01
10
11
11
00
11
11
00
11
10
00
00
00
11
10
01
00
10
00
10
01
01
00
11
11
11
10
00
00
00
10
10
00
10
11
11
01
00
01
10
10
00
01
10
11
01
00
10
00
10
01
11
10
01
01
11
10
11
00
01
00
10
01
11
11
00
11
00
10
11
11
10
00
00
00
00
00
10
10
00
00
00
00
11
10
10
10
00
10
11
10
11
01
11
00
01
11
10
00
01
10
10
01
00
11
11
00
10
10
00
00
00
11
11
01
00
10
11
10
01
00
00
11
00
00
10
00
10
00
11
00
00
10
10
11
00
10
00
11
00
10
00
10
10
11
10
11
10
11
00
00
10
01
00
10
10
10
00
00
10
00
11
00
00
10
00
11
01
00
10
11
10
01
00
10
01
11
11
00
00
10
10
11
00
11
10
10
10
00
00
00
10
10
10
00
10
01
11
11
10
00
10
00
00
10
01
00
01
10
00
11
01
10
11
00
00
01
01
11
10
10
00
01
10
01
01
11
10
00
11
11
00
00
10
10
01
00
00
10
10
01
11
01
11
01
10
11
10
01
00
10
11
10
10
10
10
01
10
00
01
00
00
01
11
10
01
01
11
01
10
10
00
00
11
10
01
00
00
00
11
00
10
00
00
10
00
10
10
01
00
01
10
01
11
10
10
01
00
11
11
10
00
00
00
10
00
00
10
10
00
00
11
00
01
01
10
00
00
10
10
10
00
01
01
00
11
10
01
10
00
10
10
00
01
00
01
10
10
00
00
00
11
01
01
10
00
00
00
01
10
10
11
10
00
00
00
00
01
01
01
11
10
01
01
10
01
00
10
10
10
10
11
10
01
10
10
10
01
01
00
00
11
10
01
11
11
01
10
11
00
00
10
10
11
00
01
00
10
00
00
11
10
00
00
11
11
00
11
01
01
10
00
11
10
11
00
11
10
00
10
11
10
00
10
10
00
00
11
10
01
00
00
10
10
00
11
00
00
10
00
00
10
10
00
10
00
11
10
10
00
00
10
01
10
11
10
11
00
00
00
01
10
10
00
00
10
10
01
00
00
10
00
11
00
00
11
10
01
00
11
11
01
10
00
00
11
10
11
10
00
10
11
10
10
10
00
01
10
00
00
10
10
11
10
00
10
10
00
00
00
10
10
01
00
11
10
00
00
10
10
11
10
01
10
10
01
00
10
11
00
00
00
00
10
11
01
01
00
11
10
00
00
01
01
01
01
10
00
00
11
10
10
00
00
10
10
10
00
11
00
11
00
10
10
00
00
00
01
10
01
00
00
10
00
10
10
10
10
00
00
10
00
11
10
10
10
00
01
10
00
10
01
10
00
10
10
00
01
00
10
00
00
01
01
11
00
10
00
11
01
01
10
10
10
11
00
01
10
01
01
10
10
01
01
11
11
00
10
10
00
10
00
00
10
00
10
00
10
00
01
10
00
01
10
10
11
00
10
10
10
01
00
01
10
11
10
01
00
11
10
10
10
00
10
10
10
11
10
10
10
11
00
01
01
00
01
10
00
10
00
01
00
00
11
10
01
00
11
10
11
00
01
10
10
00
01
01
10
00
01
10
11
00
00
00
01
10
10
00
11
10
01
01
01
00
00
00
10
00
00
11
00
11
00
10
10
11
10
00
00
10
10
00
01
11
11
10
00
00
10
10
00
00
10
10
10
00
10
10
11
11
01
00
10
11
10
10
00
00
10
01
10
11
10
00
10
11
00
01
00
10
10
00
10
10
00
01
01
10
10
11
00
00
00
01
10
11
00
10
01
00
00
01
01
10
11
10
10
00
01
10
00
00
10
10
01
10
10
00
00
00
10
00
11
11
10
00
10
01
00
11
00
01
01
00
00
11
10
00
00
00
10
01
11
11
01
01
00
01
01
01
10
10
01
00
01
10
10
00
10
00
00
11
10
10
11
10
01
01
00
10
10
10
00
01
10
00
00
10
10
01
11
10
00
00
00
11
10
10
00
00
01
00
00
00
10
00
11
10
11
01
11
11
10
11
10
01
10
10
00
00
01
10
00
10
10
10
01
00
10
01
10
10
01
01
10
00
01
01
11
00
01
10
00
01
10
00
00
11
11
10
10
00
11
10
10
00
00
10
01
10
11
10
10
11
10
11
01
01
01
10
10
01
00
10
10
11
01
01
00
00
01
00
00
10
11
01
00
11
11
00
00
00
11
10
00
00
10
11
00
10
10
11
10
00
11
10
11
10
00
01
10
11
11
00
01
01
10
10
01
01
10
10
00
00
00
00
01
10
10
00
00
00
00
10
11
01
01
00
10
11
10
01
01
11
11
10
01
10
01
00
00
10
10
00
10
01
10
10
00
01
10
00
00
11
10
01
01
10
10
00
10
00
11
10
11
11
10
00
00
00
11
10
01
10
10
00
00
11
11
00
00
11
10
10
00
11
10
01
10
00
00
10
11
00
11
11
00
11
00
10
10
00
01
00
11
10
00
01
00
10
00
00
10
10
01
00
10
00
10
11
11
01
10
10
00
10
10
00
10
10
00
11
10
10
00
10
00
00
00
10
00
11
00
10
10
10
10
00
11
01
00
00
10
00
11
01
10
00
01
11
00
10
10
00
00
10
11
00
11
10
10
01
10
11
11
01
01
00
00
00
11
00
01
00
10
10
01
00
10
00
00
10
00
10
10
00
10
10
01
01
11
11
11
00
10
11
10
00
00
11
10
00
10
10
10
00
10
10
00
00
11
10
01
11
11
00
01
00
10
00
00
10
00
00
01
01
11
00
01
10
00
00
11
11
11
11
00
10
00
01
10
11
00
00
10
10
01
11
11
00
10
10
11
01
01
00
10
11
10
10
00
10
10
10
10
00
00
11
11
10
10
01
01
00
11
10
01
10
00
00
10
10
00
01
10
11
00
10
00
10
00
10
00
10
01
10
10
10
00
01
11
00
00
00
10
00
01
00
10
00
00
11
11
10
00
10
01
00
11
11
11
01
11
11
10
10
01
01
10
11
00
00
11
10
01
00
01
01
11
10
10
10
01
00
10
11
00
00
10
00
11
11
10
11
00
01
10
00
00
11
00
00
11
10
00
11
00
10
00
01
01
00
00
10
11
10
10
01
01
10
11
01
00
10
00
10
10
10
10
10
00
00
10
10
00
01
00
10
00
10
00
01
00
00
10
01
00
00
10
00
01
10
10
00
00
01
10
10
01
01
10
10
11
01
01
10
10
10
10
01
10
10
10
10
00
11
11
00
01
00
11
10
10
01
10
00
10
11
01
11
10
10
10
00
00
00
11
11
10
10
01
01
10
11
10
10
10
01
01
10
11
00
00
00
10
11
00
00
10
00
10
10
10
10
00
11
00
01
01
01
01
10
01
00
10
11
01
00
00
10
10
11
00
10
10
01
01
00
01
01
00
10
00
00
11
10
00
10
00
01
10
00
11
01
00
10
00
11
10
10
01
01
10
01
00
01
10
00
00
10
11
11
10
00
00
00
00
10
01
01
10
10
10
10
00
10
10
10
11
00
01
10
10
00
00
11
10
10
00
11
00
01
00
00
00
10
10
00
10
00
00
00
00
01
10
01
10
10
00
00
11
10
10
00
10
11
00
00
11
11
01
01
10
11
00
01
00
11
10
00
01
11
10
00
00
00
00
00
10
10
01
10
11
11
00
00
10
11
11
10
01
10
11
00
01
10
01
00
10
01
01
10
11
00
01
01
00
10
10
10
01
10
00
00
10
10
00
00
10
10
01
00
10
00
00
00
10
10
01
10
00
00
01
10
10
10
11
00
00
00
11
10
11
00
00
01
10
00
01
00
10
10
10
01
10
10
11
10
00
00
00
10
11
00
10
10
01
10
10
10
10
00
00
01
11
10
01
01
10
11
00
01
00
11
11
00
11
10
11
00
10
10
00
01
11
01
00
10
10
00
01
10
10
01
00
00
10
00
00
00
10
10
01
00
10
11
10
10
10
11
01
11
10
01
11
01
10
01
00
11
01
01
11
10
01
00
00
10
01
01
10
10
10
10
10
01
10
11
00
01
10
00
00
01
11
11
00
01
10
00
01
10
11
00
01
10
01
10
10
10
00
00
00
11
10
00
10
10
01
11
00
01
00
10
10
10
10
11
00
11
00
00
10
10
11
00
10
10
01
00
00
00
10
10
10
00
00
11
00
00
10
00
00
10
01
10
10
00
00
00
10
11
00
10
11
01
00
00
00
11
11
01
00
00
11
00
00
11
11
00
10
10
00
01
00
10
00
10
10
10
11
00
10
01
00
10
10
11
01
10
00
01
10
01
10
01
10
00
10
01
00
00
01
10
00
00
11
10
11
11
00
11
10
10
01
11
10
00
10
10
01
00
10
11
00
01
10
10
00
00
10
00
00
10
11
11
11
11
00
01
10
00
10
00
10
10
10
00
00
10
00
10
01
10
00
11
10
00
00
00
00
00
00
10
11
10
00
10
00
00
10
00
00
10
00
00
11
00
10
10
10
00
10
00
00
10
01
00
10
10
00
01
01
10
10
10
01
00
00
10
01
00
01
10
10
01
01
10
10
11
00
10
01
00
11
10
11
10
00
00
11
00
00
11
00
10
01
01
10
01
00
00
01
11
00
00
10
10
10
10
01
00
11
01
10
00
10
00
11
00
00
00
01
01
11
01
10
10
01
11
01
10
11
01
10
10
01
11
10
10
00
01
00
00
01
10
01
00
11
01
11
10
00
11
11
00
00
11
10
10
00
00
10
11
11
01
01
01
10
10
00
10
00
00
10
10
00
10
11
00
10
00
00
10
01
00
01
11
10
01
10
00
00
00
10
00
00
10
01
00
01
10
10
10
10
11
10
00
00
10
11
00
00
10
10
00
10
00
00
00
10
00
10
11
00
00
10
00
10
00
10
10
01
00
01
01
11
11
11
11
11
01
00
11
11
00
00
00
11
10
01
00
00
10
11
01
00
00
11
00
00
01
00
11
01
10
00
10
00
00
10
11
01
10
10
10
10
11
00
01
10
00
11
10
00
11
00
01
10
00
00
00
00
10
10
00
11
11
00
00
00
10
10
10
10
10
01
00
00
00
01
10
01
11
10
01
01
01
11
01
00
10
10
10
01
10
10
00
00
11
00
00
00
10
10
00
10
00
11
11
00
10
00
01
11
10
10
10
10
01
11
00
00
10
11
00
10
11
00
10
00
01
10
10
00
00
00
00
00
10
00
00
11
10
01
11
10
10
10
11
00
00
11
10
00
10
00
00
10
11
01
11
00
10
10
00
10
00
10
10
01
00
11
10
10
00
00
01
00
00
11
00
00
10
10
00
01
11
10
01
00
11
00
01
00
00
10
01
00
11
00
10
01
10
10
10
11
00
01
00
11
01
00
11
11
01
01
00
00
10
01
01
11
01
01
10
00
00
11
11
00
01
10
01
01
10
00
01
00
11
00
00
11
10
10
00
10
00
10
10
01
10
10
10
01
00
01
00
10
10
11
10
11
01
00
00
10
10
00
10
10
00
00
00
11
10
10
01
01
01
10
00
10
00
01
10
00
01
00
00
00
10
00
01
11
10
00
00
00
10
11
10
00
00
00
00
01
01
10
00
11
00
11
00
01
11
00
00
11
10
00
11
10
10
10
11
10
01
01
00
11
11
01
11
11
00
11
10
00
10
11
00
01
11
10
01
10
00
10
11
00
11
00
00
01
01
10
01
10
11
00
00
10
11
00
01
01
11
11
01
10
00
00
10
01
00
10
10
00
10
00
01
11
00
10
10
10
01
10
11
11
00
00
11
11
00
00
00
11
01
11
10
01
00
10
10
11
00
00
11
10
01
00
01
11
11
10
00
10
11
10
10
10
00
00
01
00
00
00
10
01
01
10
01
00
11
00
00
11
01
10
11
10
00
00
10
00
10
10
01
01
11
00
00
11
10
10
00
10
11
01
11
10
00
00
10
11
00
01
10
01
01
00
11
10
10
00
10
10
11
10
01
10
00
10
10
10
10
10
00
01
10
01
10
00
00
11
10
01
10
11
00
10
01
10
00
00
01
10
00
10
11
10
10
11
00
11
00
00
10
01
11
01
11
11
01
01
10
01
11
00
01
11
10
10
00
10
00
11
11
00
11
10
01
10
10
01
00
11
10
10
00
00
00
01
01
10
11
11
11
00
01
00
10
00
01
00
10
10
00
00
00
01
10
00
00
00
10
11
00
00
11
10
00
10
10
11
11
10
00
00
11
11
10
01
10
00
00
10
10
00
10
00
10
10
00
00
10
10
10
01
01
01
10
01
11
00
11
00
00
11
10
00
10
01
00
00
10
00
00
11
11
00
10
10
00
00
00
10
01
01
10
11
10
10
10
01
01
00
11
10
11
01
10
00
01
01
11
10
10
11
10
10
00
00
11
10
11
00
00
10
01
10
10
10
01
00
10
00
00
10
11
00
10
00
00
10
11
00
10
10
01
00
00
00
10
00
10
11
00
10
00
01
00
00
00
11
00
01
00
10
00
10
00
10
10
00
11
00
10
01
00
00
11
00
10
00
10
11
10
01
00
11
01
10
11
00
00
10
10
00
00
01
10
11
10
11
11
00
00
00
00
11
10
01
00
00
00
11
10
10
00
00
10
10
10
01
00
01
11
00
11
11
00
00
11
01
01
11
00
11
10
00
00
11
10
10
10
00
11
11
00
10
00
10
11
10
10
00
10
00
00
00
10
00
10
11
11
10
00
00
11
11
11
00
00
00
00
00
00
00
11
10
10
00
00
11
10
10
10
11
10
00
00
10
01
00
10
00
10
10
10
10
00
00
00
11
11
01
10
11
10
01
01
00
00
11
10
00
00
11
01
10
11
01
10
10
10
11
00
10
10
10
10
01
00
01
10
11
00
11
11
00
00
01
11
11
00
00
00
10
01
00
10
11
00
10
10
00
00
10
11
01
11
11
00
10
01
01
00
00
11
10
10
11
01
00
00
10
10
11
11
00
00
01
11
10
00
10
00
00
10
10
01
00
01
10
10
10
10
01
00
01
00
00
10
10
10
00
00
11
10
01
11
10
00
00
00
10
00
00
11
10
00
11
10
11
00
11
01
00
10
01
11
01
00
10
11
00
01
10
01
00
01
11
00
01
10
10
00
10
11
10
10
00
00
10
10
11
00
00
01
00
01
01
11
00
01
10
00
00
11
11
11
10
01
10
11
00
00
10
00
00
10
10
00
00
10
01
00
01
10
00
01
10
00
10
00
00
11
10
10
01
01
11
00
01
00
10
00
01
10
10
00
10
10
00
00
11
01
10
11
11
00
00
01
10
00
10
00
01
10
11
00
00
10
00
10
00
10
11
00
10
01
00
10
10
00
11
10
10
11
01
01
10
11
10
11
00
11
11
01
00
10
10
00
01
11
11
01
11
10
10
11
10
01
00
10
10
00
00
00
11
10
10
10
00
11
00
11
10
01
01
00
01
10
01
00
10
10
10
10
01
00
10
01
10
10
01
10
11
01
11
01
00
11
10
11
01
01
10
10
10
00
00
00
01
01
10
10
00
01
01
10
00
10
10
00
01
10
10
00
00
01
10
10
01
10
00
00
10
10
10
10
00
10
10
01
01
00
01
11
11
11
01
00
10
10
10
00
00
10
11
00
11
11
11
10
00
00
00
10
10
11
00
01
11
01
00
01
10
10
01
01
00
11
10
00
00
10
00
10
10
01
10
01
10
10
00
00
00
10
10
01
10
01
01
11
10
01
10
10
01
00
10
11
11
00
11
10
00
00
11
10
11
01
00
01
10
11
10
10
00
10
10
00
10
11
00
11
11
00
00
11
00
00
00
11
10
10
10
01
00
11
00
10
11
10
00
10
10
01
11
00
00
00
11
00
10
11
10
10
10
01
00
00
10
00
10
10
10
00
10
10
00
10
10
00
10
10
00
00
11
00
00
00
10
10
10
10
00
10
10
11
00
00
10
10
00
10
01
10
01
00
00
01
00
11
11
00
00
11
00
00
00
10
10
10
00
00
10
10
00
00
01
10
11
10
01
01
10
10
01
11
10
10
10
00
01
10
10
10
10
10
01
00
11
11
00
01
01
00
10
00
00
11
10
11
00
01
11
11
00
00
01
10
00
01
01
10
10
00
10
10
00
10
10
01
00
00
00
11
00
00
01
10
10
00
10
11
11
10
01
11
01
01
10
01
00
10
00
10
10
00
00
11
00
11
10
01
01
01
10
00
11
10
00
10
00
00
01
00
10
11
10
01
10
11
00
11
11
10
10
00
00
00
01
10
10
10
10
00
10
00
00
11
10
01
10
10
10
01
11
10
11
01
01
01
01
10
01
01
01
00
11
10
00
01
10
10
10
00
01
11
00
10
10
00
11
00
01
00
01
00
00
10
11
10
10
00
00
00
11
10
00
10
10
10
10
10
10
10
11
01
00
01
00
01
11
01
01
10
11
00
01
10
10
00
00
10
10
00
01
10
01
10
10
10
11
01
00
00
10
10
00
00
10
00
10
00
10
10
00
11
10
10
00
10
10
01
01
00
00
11
11
00
00
10
10
00
00
10
00
00
10
11
11
00
10
00
00
10
10
01
01
00
10
10
10
10
10
01
00
00
10
00
00
10
10
11
10
01
00
00
01
00
10
01
00
10
10
00
10
10
00
00
10
00
00
01
10
01
00
11
10
00
00
10
10
11
10
00
10
01
01
11
10
11
00
00
01
10
00
00
10
00
10
00
10
11
00
10
10
10
11
00
00
10
11
00
00
11
01
00
00
10
10
10
00
10
10
11
01
00
11
10
00
00
11
10
11
00
01
00
11
10
00
00
10
10
00
11
11
10
00
10
01
00
00
01
10
00
00
00
10
01
10
10
10
10
00
00
00
00
10
10
11
00
11
11
01
10
00
00
10
10
11
00
00
11
10
11
00
11
00
01
10
11
11
01
00
11
11
00
00
11
11
00
01
10
00
10
11
11
00
10
10
11
11
11
00
00
01
11
10
01
10
11
10
00
01
01
00
11
10
10
00
00
00
00
11
10
01
00
00
10
01
10
00
00
10
00
01
10
11
10
00
11
11
01
00
11
11
11
00
10
01
00
01
00
11
11
01
11
00
11
11
10
10
00
00
10
10
00
01
10
01
11
01
00
10
01
10
10
01
01
00
00
11
11
11
10
00
00
11
10
00
00
10
10
00
00
10
00
10
11
11
00
00
01
10
10
00
10
00
00
00
10
10
11
10
11
00
01
10
00
11
01
01
10
01
10
11
10
00
00
10
00
10
11
01
00
10
00
10
00
00
10
11
00
00
01
11
00
10
10
00
00
10
10
10
10
10
00
11
00
00
00
11
00
10
00
10
00
01
10
00
10
00
10
00
10
00
10
10
01
00
10
01
01
01
00
10
10
11
10
00
11
10
00
00
11
00
11
01
00
10
00
10
10
11
00
10
11
00
00
01
00
11
11
10
10
00
01
11
10
00
00
11
10
00
10
10
00
00
11
11
00
10
10
10
10
00
10
01
00
10
10
00
11
00
11
01
00
00
11
10
00
00
10
10
10
10
00
10
00
00
10
10
00
01
11
10
11
11
01
10
10
01
01
01
11
11
11
01
01
10
10
00
00
00
10
01
01
11
10
10
01
10
11
10
00
00
00
10
10
10
01
00
00
00
10
10
10
00
10
10
11
00
00
10
01
00
10
11
10
01
11
10
00
10
01
00
10
10
10
11
01
11
00
10
10
01
00
01
10
00
10
11
11
01
00
11
00
00
00
00
10
00
00
11
10
00
10
00
10
10
10
00
00
00
11
00
00
10
00
00
10
00
00
01
10
11
00
10
01
10
10
00
00
10
10
10
11
00
00
11
10
00
01
11
10
00
01
00
00
00
00
10
10
01
10
11
00
00
01
10
11
00
10
11
00
11
10
00
11
11
11
00
10
00
01
11
11
01
11
00
01
11
01
00
11
10
10
00
01
10
11
00
00
10
10
00
01
11
10
01
10
01
00
00
10
11
00
01
10
00
11
10
00
10
01
01
10
10
00
10
10
11
00
00
10
10
00
01
10
00
11
11
11
10
00
11
00
00
00
10
10
01
10
11
10
10
00
00
10
00
01
10
01
00
10
00
10
10
00
10
11
00
00
01
10
01
11
10
11
00
01
11
00
11
00
00
10
11
00
11
10
00
11
00
10
10
00
00
00
10
11
11
01
00
01
00
10
00
10
11
00
10
00
00
00
10
11
00
01
11
10
10
00
00
10
10
00
00
11
00
11
00
10
10
00
10
11
00
01
10
00
00
10
11
10
00
01
11
10
10
00
01
10
10
01
10
00
10
00
11
10
11
11
11
01
11
10
00
00
00
00
11
10
00
01
01
01
01
10
11
01
10
11
00
01
10
11
11
01
00
10
00
00
10
11
00
01
10
10
01
00
00
10
10
11
00
00
10
10
00
00
00
00
00
01
11
11
11
00
01
01
01
11
10
00
00
01
11
10
10
01
11
00
10
10
00
00
10
00
00
11
00
00
11
00
00
00
00
11
10
10
11
10
01
10
11
00
00
10
11
10
00
01
11
00
01
00
00
00
11
10
01
11
10
01
00
01
10
11
00
01
10
10
00
10
01
00
10
00
10
01
10
00
00
10
10
00
10
01
00
10
10
10
11
00
00
01
10
10
10
10
00
11
01
01
10
10
11
00
11
00
11
11
11
00
00
00
11
10
10
01
01
10
00
10
10
10
01
00
00
10
11
11
11
11
10
10
11
01
01
10
11
00
10
00
00
10
11
00
00
00
00
00
11
11
10
01
00
00
11
00
01
10
10
01
11
01
10
10
01
11
11
00
00
10
00
00
10
00
01
11
01
11
10
10
00
10
11
10
01
00
00
00
00
10
00
10
10
10
00
00
00
11
00
00
01
11
10
11
00
01
00
00
10
10
00
00
10
11
00
01
10
01
10
10
00
01
00
11
10
01
10
11
00
10
00
11
00
01
10
10
01
11
10
10
10
01
11
10
00
10
00
00
00
11
11
10
10
10
00
00
11
00
01
10
11
11
10
01
10
10
10
11
00
01
10
10
00
00
10
10
00
10
01
00
10
00
11
10
00
10
11
10
01
00
10
10
00
10
00
00
01
01
10
11
00
01
00
10
11
01
10
11
11
01
10
11
00
11
01
01
10
10
01
00
10
10
11
00
00
00
11
00
10
11
00
10
00
10
00
10
00
11
00
01
10
11
00
01
11
00
11
10
10
00
01
10
00
01
11
00
11
11
10
11
11
01
00
10
10
10
00
00
00
00
01
10
10
11
00
00
10
00
11
00
10
10
01
00
00
00
00
10
10
00
00
10
01
11
10
10
11
01
10
11
00
10
00
01
00
00
11
10
01
11
10
00
10
00
00
10
00
10
10
10
01
10
01
00
01
10
00
11
11
00
01
00
11
11
00
00
00
01
10
10
00
10
00
10
00
00
01
10
11
00
00
10
10
00
01
00
10
10
00
10
10
11
10
01
00
00
10
00
00
10
01
00
01
01
00
01
00
10
01
10
10
01
10
01
11
01
10
00
00
00
01
11
01
10
01
00
01
10
10
00
01
01
11
11
10
01
11
01
00
10
10
00
01
10
11
01
01
01
00
11
10
00
01
00
10
11
01
00
00
11
00
10
01
10
10
00
00
00
01
11
10
10
11
11
10
01
01
01
11
10
10
10
10
00
01
10
10
00
00
10
10
00
00
01
10
11
00
11
00
10
11
10
00
00
10
11
01
10
00
00
01
11
00
10
10
01
00
10
01
00
10
10
11
00
00
10
01
11
10
01
00
00
00
10
11
00
00
10
11
11
10
11
11
00
01
00
01
11
11
00
00
00
10
10
10
00
00
10
10
00
00
10
01
11
00
00
10
11
10
00
01
10
11
00
01
00
11
10
10
00
11
00
01
01
00
00
00
00
10
10
00
10
00
00
10
01
10
00
00
00
01
11
11
10
10
01
10
00
00
10
11
10
01
00
01
00
10
00
00
10
10
11
01
01
00
11
11
10
10
00
00
11
10
00
00
11
10
10
00
00
00
10
10
00
11
10
10
10
11
00
10
00
00
01
00
01
00
10
10
00
00
00
10
10
00
00
10
10
00
10
00
00
00
10
10
10
10
10
11
00
10
00
10
10
10
01
10
10
00
01
11
00
01
00
11
00
00
00
10
00
10
10
00
01
00
00
10
01
10
01
10
10
01
01
11
01
11
10
00
10
11
01
01
11
11
01
10
11
01
10
10
01
01
10
00
01
00
01
10
10
00
00
10
11
00
10
00
00
00
00
01
11
00
10
00
00
00
00
11
00
01
01
00
11
10
11
00
10
01
01
11
10
01
00
10
10
11
00
10
10
01
00
00
00
10
10
10
11
01
10
00
00
11
00
10
00
00
00
10
10
11
01
01
10
00
10
00
01
01
00
10
10
11
11
11
10
10
01
01
10
00
11
10
11
00
00
10
01
11
10
00
00
01
00
00
10
01
10
00
10
00
00
10
10
10
11
10
10
11
01
10
10
00
10
01
10
01
00
00
00
00
00
10
01
00
10
11
10
10
11
11
11
10
00
11
01
11
10
00
01
00
10
10
01
00
00
00
10
00
00
10
11
01
10
10
10
10
11
10
11
00
10
11
10
00
00
11
10
00
00
10
10
10
01
01
10
11
10
00
01
00
11
10
00
00
11
10
10
10
00
11
10
11
00
01
00
10
00
01
00
11
10
10
10
00
10
10
10
00
00
10
10
00
11
10
10
00
00
00
11
10
01
00
01
11
10
10
01
11
10
01
00
10
00
01
10
11
01
00
00
11
10
00
00
10
10
01
00
11
10
00
10
00
00
11
00
11
01
10
10
10
00
00
10
10
00
11
00
10
00
10
00
10
00
00
00
10
01
11
01
00
11
10
00
01
10
11
01
10
10
11
10
10
01
00
10
11
00
01
00
10
10
10
01
11
00
00
11
10
10
11
00
00
10
01
10
00
00
11
10
01
11
00
01
10
00
00
01
10
00
00
10
01
11
00
01
01
00
00
01
10
00
00
11
11
10
00
00
01
10
10
01
01
10
00
10
10
01
01
10
00
10
10
11
11
10
10
00
00
11
00
00
11
11
01
10
00
00
10
00
00
10
10
00
10
10
00
01
10
10
00
10
00
00
00
00
10
11
10
00
01
00
11
11
10
01
00
10
00
10
10
01
10
10
10
00
10
10
10
00
01
10
00
00
00
01
10
10
10
01
10
10
01
01
00
00
10
01
00
11
00
10
11
01
10
00
00
10
00
10
10
10
10
10
00
00
01
10
10
01
00
10
10
10
01
01
01
00
00
00
00
00
10
10
01
00
01
10
11
00
11
10
01
10
11
10
00
10
10
11
00
10
10
00
00
01
01
00
00
00
00
10
01
10
10
10
00
00
00
10
00
01
00
10
10
01
00
00
11
00
11
00
01
10
11
00
11
00
11
10
01
01
00
11
10
11
01
00
11
11
01
00
01
10
01
11
10
01
10
10
01
11
00
00
00
10
01
00
10
00
00
01
01
11
00
10
01
11
01
10
11
00
01
11
10
10
00
01
10
01
01
01
10
10
10
10
10
01
10
10
10
00
11
00
01
00
00
10
01
11
00
10
10
00
00
11
00
11
00
00
10
10
11
00
11
11
00
00
10
00
10
00
00
11
10
01
01
11
11
01
10
10
00
01
10
11
00
11
00
00
00
10
10
01
10
11
11
00
00
10
00
11
01
00
10
01
10
00
10
11
01
10
00
00
00
00
11
11
01
01
10
01
00
01
11
10
01
01
00
10
11
00
10
10
10
10
00
01
11
11
00
01
00
10
00
10
10
00
10
11
00
00
10
10
00
10
10
00
11
10
00
10
01
00
11
00
10
10
01
00
01
01
10
11
10
11
10
00
01
10
00
00
10
01
00
01
11
00
11
01
00
11
00
10
00
10
10
01
01
10
10
10
00
10
00
11
11
10
01
01
01
11
00
00
11
01
00
00
10
10
00
00
10
10
10
00
11
11
11
10
10
01
10
00
11
10
01
11
00
10
01
11
11
10
00
11
10
10
01
00
10
10
10
00
10
01
10
10
00
10
11
00
10
11
10
00
11
00
00
00
10
00
10
10
10
00
00
11
00
00
10
00
00
11
11
01
01
10
10
10
01
00
10
00
00
00
11
01
01
10
10
11
00
11
00
10
00
11
10
11
01
00
10
10
11
11
00
00
00
11
00
10
10
00
00
10
00
10
00
10
10
10
00
01
10
01
10
00
11
11
11
00
00
00
11
10
11
11
01
00
10
10
10
00
10
00
00
11
10
01
01
10
10
00
10
10
10
00
00
10
10
11
11
00
11
10
01
00
00
10
10
00
01
01
00
00
00
01
10
11
10
11
01
11
11
10
10
00
10
10
00
01
10
10
01
10
10
00
10
10
00
01
11
11
00
10
00
01
10
00
11
11
10
00
00
11
10
11
01
01
00
11
01
10
00
01
00
10
01
00
10
00
00
10
11
00
01
10
11
00
10
11
00
01
10
00
11
00
10
00
10
10
00
11
00
10
10
00
10
00
01
10
11
10
01
11
10
00
00
10
10
10
11
00
00
11
10
00
01
00
10
11
10
10
01
00
00
11
00
10
10
00
00
11
00
00
10
00
10
11
11
00
01
11
11
00
01
10
00
00
11
10
00
00
10
10
00
00
10
00
01
00
11
10
11
10
00
00
01
10
00
11
10
11
00
00
10
11
01
00
00
10
00
00
00
10
10
01
01
00
10
10
10
00
11
10
01
10
10
00
11
10
00
00
10
11
10
00
00
10
11
00
10
00
10
01
00
10
01
10
00
10
00
11
00
01
11
10
11
10
10
10
00
01
01
11
01
11
11
10
10
10
11
00
11
11
00
01
10
01
00
00
11
00
10
10
01
00
10
10
10
10
10
00
00
10
11
11
00
01
10
10
00
10
00
00
01
10
00
11
11
10
00
01
00
00
10
01
11
10
00
10
01
10
11
00
01
00
00
10
00
00
10
00
00
10
11
10
10
01
10
10
01
10
00
00
10
10
00
10
00
00
00
00
00
01
00
10
10
11
01
01
11
00
10
11
00
01
11
00
00
00
10
11
10
01
01
00
00
10
10
00
00
00
01
10
00
10
10
01
10
01
01
11
10
10
00
01
01
10
11
00
10
00
10
01
00
11
10
11
01
01
11
10
00
01
00
00
10
10
00
00
01
11
10
00
01
10
01
01
10
00
01
00
01
10
01
01
10
10
10
00
00
00
11
10
01
00
00
10
10
00
00
10
10
01
01
10
00
00
00
11
10
00
01
11
00
00
00
11
11
11
10
00
01
10
10
11
11
01
00
10
01
10
01
00
00
10
10
00
11
10
00
01
11
10
00
11
10
01
10
10
00
00
10
00
00
01
00
01
11
00
10
10
10
00
10
10
01
00
11
11
11
10
10
00
00
11
10
11
10
00
00
11
10
00
10
00
00
11
01
10
10
00
11
11
01
00
10
00
00
11
00
00
10
00
01
01
10
10
00
00
00
10
00
10
00
00
01
01
11
00
10
11
01
00
00
10
11
00
00
10
00
11
00
10
11
00
10
01
00
01
00
10
00
11
10
01
10
10
10
10
01
10
11
01
10
00
00
10
00
10
01
00
10
10
10
10
10
00
11
11
10
00
00
11
10
00
00
10
10
00
01
00
00
10
11
10
00
00
00
11
10
00
10
10
10
01
00
11
10
10
10
00
01
00
10
00
10
01
00
01
10
00
01
00
11
10
11
11
01
00
00
00
10
00
11
10
01
10
00
10
01
10
10
11
01
10
01
11
01
01
11
11
00
10
10
01
00
11
01
11
10
00
11
10
10
00
01
10
10
01
10
11
00
01
00
11
00
10
00
01
01
00
00
10
11
01
11
01
10
10
00
01
00
01
10
10
00
00
00
10
10
10
10
10
11
00
10
10
10
11
00
10
01
01
10
11
10
01
10
10
11
00
00
10
01
10
10
00
01
10
10
00
01
10
01
00
10
11
10
01
00
00
11
11
01
01
10
11
00
01
01
11
10
00
10
10
00
01
00
00
10
10
11
10
00
00
11
01
01
00
10
00
00
10
10
10
01
00
10
00
00
10
11
10
00
00
00
00
11
10
11
11
01
00
10
01
01
01
11
10
00
10
00
00
11
10
00
00
00
00
01
10
10
10
11
10
00
01
00
01
11
01
10
10
10
00
10
11
11
10
11
00
00
10
11
00
01
00
10
00
00
10
00
11
11
01
10
11
00
01
10
10
10
01
00
11
10
01
10
11
00
00
10
11
10
01
00
10
00
00
00
11
10
01
10
11
01
01
10
10
00
11
00
00
10
11
10
00
11
00
01
00
10
00
01
00
11
10
00
00
00
00
10
00
01
11
00
10
00
00
01
00
01
10
11
00
00
00
10
10
10
10
00
00
00
10
00
11
01
11
00
00
10
10
01
11
10
00
10
10
00
10
10
01
00
00
01
01
00
01
10
11
00
01
11
11
01
01
00
11
00
00
10
10
00
01
11
10
11
11
11
10
10
01
00
00
01
11
10
10
01
01
11
00
00
10
11
00
10
00
00
00
10
01
10
11
10
11
00
11
01
11
00
01
00
10
00
00
10
11
00
00
00
10
10
10
10
00
10
10
11
10
11
00
01
00
11
10
01
10
10
10
01
00
01
00
00
11
11
11
10
10
00
10
10
00
10
10
01
00
10
10
10
00
10
11
00
00
10
01
11
00
11
00
10
00
11
11
00
01
10
00
01
00
10
00
01
10
11
10
01
10
01
00
10
01
11
00
00
01
11
00
10
01
00
10
11
10
10
01
00
11
01
00
00
11
00
00
11
10
00
00
00
01
10
10
11
01
00
11
10
00
10
00
00
10
10
11
00
00
10
00
10
11
01
01
00
01
11
00
00
11
11
00
01
10
01
10
00
00
00
10
10
00
10
11
10
00
01
10
10
10
00
10
01
01
11
11
00
00
00
10
11
00
01
11
00
00
00
10
11
01
01
10
11
10
10
00
01
00
11
10
01
10
01
00
11
00
01
11
10
00
00
01
10
10
10
10
00
10
00
00
01
11
01
10
10
00
10
00
10
10
00
00
10
10
01
00
11
00
00
10
11
00
11
11
00
00
10
11
01
11
10
00
11
10
10
01
00
00
10
00
00
00
10
10
10
00
00
11
11
00
00
00
11
01
11
01
01
01
10
00
01
11
01
10
11
10
11
11
01
00
01
00
10
10
00
00
10
11
00
00
01
01
10
00
00
01
10
00
00
11
00
00
01
11
11
00
10
10
10
00
00
10
10
00
11
11
00
00
00
10
01
11
00
00
00
01
10
00
00
10
11
00
10
10
10
10
11
00
01
01
10
00
10
10
01
00
11
10
01
01
00
11
01
00
11
00
10
10
10
10
00
01
10
10
01
11
10
00
10
10
10
11
00
00
00
11
10
10
01
00
00
10
10
10
10
00
10
00
01
10
11
01
11
11
10
10
00
11
10
00
00
11
10
11
00
11
01
00
10
10
00
01
00
00
10
10
01
10
00
10
10
00
00
00
00
10
10
01
01
11
11
01
11
01
01
11
10
00
01
10
11
00
00
10
01
00
11
00
00
10
00
00
10
00
01
00
11
00
00
00
00
10
10
01
00
01
10
10
00
10
10
11
11
11
00
00
00
00
00
10
00
01
10
00
00
00
11
11
00
10
00
00
10
01
10
10
10
00
10
10
00
01
10
00
10
10
00
10
00
10
01
00
10
11
10
11
11
10
00
01
11
00
10
10
10
11
10
11
10
01
01
00
00
11
10
01
11
11
00
01
10
10
00
00
10
11
11
01
11
01
10
11
00
11
00
10
11
00
01
10
10
01
01
10
10
00
10
00
00
11
11
00
00
00
00
11
11
00
01
01
00
10
11
01
01
10
11
10
01
10
00
00
00
10
10
00
10
10
11
10
00
00
10
10
00
01
10
01
00
10
01
10
01
10
01
00
10
11
00
00
10
10
01
00
10
00
00
11
01
00
00
10
10
01
10
10
11
00
00
11
10
10
10
01
00
11
10
00
00
10
11
00
10
11
10
10
00
10
01
00
10
00
00
11
00
01
00
01
10
10
00
01
10
11
00
10
10
00
10
01
10
00
01
11
01
00
10
00
10
10
00
10
10
01
11
11
01
00
00
00
00
01
10
11
00
00
10
11
11
00
01
01
11
10
01
11
10
00
00
01
00
01
10
10
01
00
11
11
11
00
01
10
10
00
01
00
10
01
01
11
11
10
11
10
01
00
10
10
00
00
10
10
00
00
11
00
00
10
10
10
00
10
11
01
00
00
10
10
10
10
00
00
00
00
00
11
10
00
10
11
00
10
10
00
10
01
00
01
00
01
10
10
10
10
01
00
00
10
00
11
00
00
11
00
10
11
11
10
01
01
00
00
01
00
11
00
00
10
00
01
10
01
01
00
10
10
00
01
01
10
10
00
10
10
00
00
00
01
10
00
01
10
00
10
00
10
00
00
10
00
10
01
10
11
00
10
00
10
10
11
11
00
10
01
10
01
10
10
00
11
00
00
00
10
11
10
00
01
10
11
11
11
01
01
10
10
10
00
11
11
10
10
01
01
00
00
11
11
00
11
00
00
10
11
00
10
10
00
11
11
00
01
11
10
10
10
10
10
10
00
00
10
00
00
10
10
00
11
11
01
10
11
00
00
00
00
10
11
10
00
00
00
10
10
00
10
10
00
11
00
00
01
00
11
11
10
00
10
00
01
10
00
00
11
10
01
10
10
00
00
10
00
11
10
10
10
00
00
01
01
01
00
00
01
00
00
01
10
00
11
11
10
10
11
00
01
10
00
00
10
10
11
10
00
00
10
10
10
01
00
10
01
11
01
00
11
10
00
00
10
00
00
10
10
11
11
01
10
11
00
10
01
10
01
00
10
10
00
11
10
01
10
10
00
10
10
00
00
01
00
00
00
00
00
01
10
11
00
10
01
00
11
11
10
01
00
10
11
00
00
10
10
01
00
01
11
00
00
11
01
11
10
01
10
11
00
10
01
00
11
11
00
10
10
10
00
10
10
00
10
10
10
11
10
10
01
01
00
01
10
10
10
10
00
10
01
00
00
10
10
00
10
10
11
10
00
00
01
00
01
00
00
00
10
00
10
10
10
00
10
01
00
00
10
00
00
11
10
10
10
00
11
00
01
10
10
00
01
00
00
10
01
00
10
00
10
10
10
00
00
10
00
11
00
10
00
01
11
10
00
11
10
01
01
11
11
00
00
00
00
10
11
10
00
00
11
00
00
11
10
01
10
00
01
10
11
01
00
11
00
00
00
10
10
10
00
11
10
00
00
10
11
01
01
10
11
10
10
00
00
10
10
00
00
11
10
01
00
11
10
01
00
10
00
10
10
00
00
11
11
00
10
10
10
00
00
00
11
00
01
00
00
00
00
00
10
00
00
10
11
01
10
10
01
00
10
01
00
00
11
00
10
00
00
11
10
00
00
10
00
00
00
10
10
11
10
10
00
11
11
01
00
00
00
11
00
01
10
10
10
00
00
00
00
00
11
01
00
10
10
10
01
10
00
00
10
10
10
10
10
01
10
01
01
11
00
01
10
10
01
00
10
10
00
00
00
10
01
00
00
01
10
11
11
11
00
00
10
10
00
10
00
01
10
00
10
01
10
00
10
11
11
00
10
11
01
00
01
10
10
00
00
10
11
11
00
00
10
10
10
00
01
10
11
01
00
10
00
10
00
11
00
00
00
11
10
01
10
10
00
11
10
11
11
01
10
10
11
10
11
01
11
00
00
00
01
10
10
11
00
11
00
00
10
00
11
11
01
01
00
00
10
01
00
01
10
10
10
11
11
00
01
00
10
00
00
00
10
00
00
10
01
00
10
01
00
10
00
01
10
10
10
01
00
01
10
10
10
00
00
11
10
00
10
11
00
10
00
10
11
11
10
00
10
00
11
01
00
11
00
00
00
10
11
10
11
00
00
10
00
10
00
11
01
01
11
10
01
00
00
00
10
10
10
01
00
00
01
10
11
10
11
10
01
11
11
00
00
00
11
11
10
01
00
01
10
10
10
10
00
00
10
00
11
10
01
10
00
10
10
10
00
00
11
10
00
01
10
00
01
10
10
00
10
11
00
11
00
01
10
11
00
11
00
00
00
00
11
00
01
10
11
01
11
00
00
10
01
00
00
00
11
01
00
01
10
00
01
10
00
11
11
01
11
00
00
00
10
10
10
01
00
11
11
10
11
01
00
00
01
10
10
00
11
10
00
00
00
10
10
01
10
00
10
01
00
11
11
01
11
10
00
00
00
11
00
10
11
10
00
00
11
00
10
00
00
10
11
00
10
11
01
01
00
00
00
00
10
10
10
10
00
10
00
11
10
01
11
10
01
10
11
10
01
01
10
00
00
00
10
10
00
00
10
10
10
11
10
10
00
00
00
00
10
11
01
00
00
00
10
11
00
00
10
00
10
00
00
00
10
11
01
01
10
00
00
10
10
00
10
00
10
10
10
00
10
10
10
10
00
11
01
01
01
00
01
00
00
00
01
10
11
00
00
10
11
00
00
11
10
00
10
11
10
11
11
00
00
01
00
11
10
00
01
10
11
11
11
00
01
00
01
00
10
01
10
01
01
00
10
10
00
11
00
00
10
00
00
11
00
10
10
10
00
00
00
11
10
00
10
10
01
11
00
00
10
11
10
01
11
11
01
01
10
11
00
01
00
00
10
11
10
01
10
11
11
10
10
01
00
10
00
00
11
00
01
10
11
00
10
01
00
00
00
01
11
00
11
01
00
10
00
10
11
10
00
10
10
00
11
10
11
00
11
00
00
00
01
11
10
01
00
11
11
01
00
10
11
10
11
01
11
00
10
11
01
01
10
00
10
10
00
00
00
10
10
11
10
01
10
11
00
10
10
01
10
10
00
00
10
00
00
10
00
00
01
00
11
01
11
10
11
11
00
10
00
00
10
10
00
00
00
10
11
01
10
10
00
10
01
10
11
01
01
10
00
10
11
10
00
00
00
10
10
10
10
10
10
10
10
10
10
11
10
10
00
00
00
10
00
01
10
01
11
01
10
00
10
10
10
00
00
00
00
10
10
11
11
10
00
00
00
00
10
10
10
00
10
01
00
10
10
01
01
11
10
10
10
10
10
01
10
10
10
10
00
00
00
00
10
00
10
10
11
11
00
10
00
00
00
10
01
00
11
11
01
00
11
10
01
11
11
10
10
10
00
00
00
00
10
10
01
11
10
00
11
00
00
10
11
10
01
00
11
10
00
00
10
00
00
00
10
00
11
11
10
00
10
10
10
10
01
00
00
00
00
10
10
10
00
01
01
10
00
00
01
10
01
01
10
10
01
01
00
01
10
01
00
10
10
01
10
11
11
00
01
01
00
10
11
10
11
11
10
01
01
00
00
10
10
00
00
10
11
00
00
10
10
01
10
11
10
11
01
00
10
10
11
01
00
10
00
00
10
00
01
11
01
11
01
00
10
00
01
01
10
10
01
00
10
00
10
10
10
10
10
10
10
00
00
11
00
10
00
00
01
10
01
00
00
01
00
10
11
11
00
01
00
10
11
10
00
00
10
11
00
00
10
01
01
11
11
11
10
00
00
11
10
00
00
11
00
10
11
00
00
00
01
10
10
01
11
00
11
10
00
00
00
00
10
00
00
10
00
10
10
00
00
11
01
10
10
10
00
11
00
00
00
11
00
01
11
11
10
00
10
10
00
01
11
00
00
10
00
00
01
10
11
10
10
01
11
00
10
10
00
10
10
00
00
11
11
10
11
00
01
00
11
00
01
10
10
00
01
10
10
10
00
10
10
00
00
10
00
11
00
00
01
01
01
00
10
10
10
10
00
11
10
00
01
01
11
10
00
00
10
11
10
10
01
00
10
10
10
00
00
11
00
00
00
00
10
11
00
11
00
00
11
00
10
00
10
10
01
00
01
00
01
01
11
00
10
00
00
01
10
10
01
00
10
10
11
00
11
11
10
11
01
00
11
10
10
10
11
11
00
10
00
00
10
11
10
00
01
10
10
00
01
00
00
00
01
00
10
01
10
10
01
10
00
00
10
00
00
00
01
11
11
00
00
11
11
01
00
10
11
10
00
11
10
00
10
11
00
10
10
00
10
11
01
10
11
10
01
11
11
01
00
01
11
01
00
00
10
10
00
00
11
11
01
00
11
10
01
10
11
11
00
00
10
00
00
11
10
11
11
00
10
10
00
00
10
10
10
11
01
10
01
00
10
10
00
00
00
10
11
10
10
10
11
11
10
00
10
00
00
00
10
00
01
11
11
00
10
00
00
00
11
10
00
10
01
00
11
01
10
10
00
00
11
10
00
10
00
00
00
10
00
00
00
10
11
10
10
00
00
01
00
11
11
11
00
00
11
00
01
00
10
00
11
11
01
00
10
01
10
11
10
11
00
10
00
10
01
01
01
00
11
10
10
00
11
00
00
00
00
10
00
10
11
01
00
00
00
10
10
01
01
00
10
00
00
10
00
10
11
00
00
11
01
11
00
00
00
10
00
01
10
10
10
00
10
10
00
00
00
00
10
01
01
00
10
00
00
01
10
10
00
10
00
10
10
01
01
10
11
01
00
10
10
10
11
00
00
00
01
01
11
10
00
00
10
01
10
10
00
00
11
10
01
00
10
10
10
10
00
01
10
10
00
10
00
10
01
00
01
10
10
00
10
10
10
00
00
00
10
10
10
11
10
10
11
11
01
10
11
11
00
10
11
01
10
00
00
01
00
00
01
10
11
10
11
01
00
00
10
11
01
10
00
00
00
10
00
10
01
10
11
10
10
00
11
11
10
01
00
11
10
01
10
10
00
10
01
11
11
01
10
10
01
00
11
00
00
10
00
01
10
10
00
01
00
00
01
10
11
10
00
00
00
00
00
00
10
00
10
10
10
10
00
11
01
10
00
10
11
10
11
11
01
00
00
00
00
00
11
10
00
00
11
00
11
00
10
10
10
00
00
01
10
00
10
11
11
10
00
10
01
00
00
01
01
00
10
11
10
11
11
10
11
10
10
10
10
00
11
10
01
01
01
11
10
10
01
00
00
10
10
00
10
10
00
00
10
01
00
11
00
10
00
00
00
10
10
01
11
10
00
00
00
00
01
01
10
11
01
10
10
00
01
11
10
10
11
00
10
10
01
00
10
00
01
10
00
00
10
11
00
10
01
00
10
01
00
01
00
10
10
10
11
00
00
11
10
00
10
11
01
11
11
11
11
00
10
01
00
10
00
00
11
10
11
00
00
10
10
10
01
01
00
11
11
11
00
00
10
00
01
10
00
01
11
11
01
00
10
11
01
11
10
00
00
11
11
01
00
10
10
00
10
01
11
00
10
10
00
11
00
10
00
00
01
01
10
10
00
00
11
00
10
10
00
10
00
00
00
01
00
01
01
11
00
01
11
00
01
10
10
11
01
00
11
00
00
01
00
01
10
10
00
00
11
10
11
00
10
00
00
10
10
11
01
11
10
11
10
00
01
00
00
10
10
10
00
01
10
10
00
11
11
10
10
10
00
00
01
00
01
00
00
10
10
00
01
01
10
01
10
10
00
10
11
01
00
10
00
10
00
11
10
10
11
01
00
10
10
00
01
11
10
01
11
11
11
00
00
11
00
10
00
00
00
01
00
11
10
00
01
01
01
10
01
10
10
01
00
10
10
10
00
10
00
00
00
00
11
01
10
00
01
00
00
11
01
11
01
11
11
10
11
00
10
11
01
00
11
10
01
10
01
10
01
00
10
10
00
10
00
00
10
10
01
10
00
10
00
11
00
00
11
10
01
11
10
10
11
00
00
00
10
01
01
00
11
10
01
01
11
10
10
01
00
01
00
10
10
01
00
00
10
10
10
10
01
01
01
00
11
00
11
00
10
00
00
01
10
10
00
10
11
10
01
10
10
01
01
10
11
01
00
01
10
00
11
10
10
00
10
00
01
10
00
00
10
10
00
10
11
00
10
00
00
00
10
00
10
11
00
11
00
01
11
10
10
00
10
11
10
00
00
00
10
10
10
00
00
10
00
01
10
10
11
10
10
10
00
10
10
01
11
10
00
01
00
01
10
00
00
00
01
00
10
10
01
11
11
00
11
11
10
10
00
10
00
01
10
11
01
00
10
10
01
11
11
01
11
10
10
11
00
00
00
10
01
10
00
11
10
00
00
10
00
00
00
10
11
00
10
00
11
11
00
11
00
10
00
00
10
11
10
00
00
10
10
01
01
10
01
10
10
10
00
11
11
01
00
01
11
01
00
00
11
10
10
01
01
10
00
10
10
11
10
11
00
00
11
00
00
00
01
00
00
10
11
01
10
11
00
10
00
00
00
00
10
10
00
01
11
00
01
10
01
00
01
00
00
11
10
00
00
10
10
11
00
01
01
10
01
00
00
10
10
01
10
10
00
11
11
11
01
10
00
10
00
00
01
01
11
10
10
10
01
10
10
10
00
01
10
10
01
01
11
00
00
01
10
11
10
10
00
10
10
00
10
11
00
11
01
00
00
00
00
01
00
11
11
11
00
01
10
10
00
00
00
11
10
10
01
01
10
11
00
11
10
01
00
11
10
01
00
10
10
00
00
00
11
10
00
00
01
11
01
10
11
11
10
11
11
01
00
01
11
11
00
11
11
00
00
11
01
10
11
00
00
10
10
01
10
00
00
10
10
00
10
11
00
00
01
10
10
00
10
10
00
00
10
10
10
11
01
00
11
00
00
01
11
00
01
01
10
10
00
10
11
00
00
00
10
10
00
00
11
01
00
00
10
01
11
01
01
10
01
11
00
00
01
01
11
11
00
00
10
10
00
10
10
00
10
00
00
10
01
11
10
11
01
00
00
00
00
10
10
00
01
11
10
10
01
10
01
01
00
11
10
00
10
10
00
00
10
10
10
00
11
01
10
11
10
00
00
00
00
10
10
10
00
00
10
10
10
00
10
10
11
00
10
10
11
01
10
10
00
00
10
00
10
10
00
00
01
11
00
00
10
00
11
10
10
10
00
10
11
10
01
00
10
01
10
01
11
00
00
10
11
01
10
11
10
00
00
10
10
11
11
01
01
10
11
00
10
00
00
00
10
11
11
11
01
00
01
00
10
01
01
10
10
01
10
01
00
11
01
10
10
00
01
10
00
01
10
01
00
10
01
11
00
11
00
00
00
01
11
00
00
10
00
00
00
01
10
10
00
11
00
01
10
10
10
01
10
10
01
01
10
01
10
10
00
01
10
10
10
00
10
00
00
01
00
11
10
00
10
11
00
00
00
10
11
00
00
01
00
10
10
11
11
01
11
00
10
01
00
01
01
10
10
00
10
00
00
11
01
00
00
10
00
10
10
01
10
11
00
01
00
00
10
10
01
11
01
00
01
01
10
00
01
11
10
00
00
11
10
10
10
10
01
10
10
00
11
11
00
00
10
11
01
00
00
01
11
11
10
00
10
00
11
01
11
11
10
00
00
11
00
10
10
00
10
10
10
10
10
00
10
01
10
00
00
01
11
01
11
11
10
01
01
11
11
01
10
11
01
00
11
00
00
10
10
00
11
10
10
01
11
00
01
00
10
00
00
00
10
00
00
10
00
10
11
10
01
01
10
00
10
10
10
11
00
00
10
10
10
00
11
11
00
10
11
01
11
01
00
01
11
01
01
11
10
00
00
10
11
10
00
01
11
00
00
00
11
01
00
00
11
10
10
01
01
11
01
01
10
00
10
00
01
00
10
10
00
01
00
10
00
10
10
10
00
00
01
10
00
00
00
11
01
01
11
10
11
00
11
00
10
10
00
10
01
00
10
00
10
10
11
00
01
00
00
00
00
00
11
10
01
10
01
01
00
10
11
10
11
00
11
01
01
00
01
11
10
11
00
00
01
11
10
00
00
00
10
00
00
10
11
01
00
00
10
00
10
10
00
11
00
10
00
01
10
10
01
10
01
10
01
00
11
11
10
01
00
10
10
11
01
00
10
10
00
00
11
10
11
01
00
10
00
00
00
10
10
00
11
11
10
00
00
10
11
00
01
10
00
00
11
10
01
00
11
00
11
10
11
10
00
00
00
10
11
10
00
01
11
10
00
10
01
00
10
01
01
01
10
11
10
00
01
00
11
10
01
10
11
00
00
01
10
00
10
00
00
01
00
10
11
01
00
11
01
00
10
01
00
10
10
00
01
10
10
10
00
01
10
00
00
10
01
00
10
00
10
00
10
10
00
10
11
01
10
11
01
10
01
10
10
01
00
10
10
00
00
10
10
10
00
00
00
10
11
01
11
10
10
00
00
10
01
01
11
00
11
11
10
10
00
00
10
11
00
01
10
10
11
00
10
10
00
01
11
11
00
10
10
10
00
11
10
01
11
10
10
00
01
10
00
00
10
10
10
01
00
10
10
01
10
11
11
11
00
10
01
00
10
10
00
00
10
10
11
10
00
10
01
00
00
10
10
11
01
10
11
10
11
10
10
10
00
00
10
00
10
11
00
10
00
10
01
10
11
00
10
10
00
00
11
00
00
10
01
10
10
10
00
10
10
00
00
00
00
10
11
10
00
10
11
10
10
11
00
01
11
00
00
10
10
00
00
11
01
11
10
01
10
01
00
10
10
01
10
10
01
00
10
10
00
11
00
01
10
11
10
01
00
11
10
01
11
11
00
01
10
10
01
10
10
00
00
10
00
01
01
00
00
11
00
11
11
00
10
01
10
10
10
11
01
01
10
11
10
10
00
00
10
10
00
00
11
00
10
00
10
10
10
00
11
10
11
10
00
10
10
10
00
01
10
11
10
10
00
01
00
10
00
00
11
00
11
11
10
01
00
10
10
10
00
00
10
10
10
00
10
10
00
00
00
00
00
10
00
00
00
00
01
00
00
00
00
00
10
10
11
10
11
10
00
10
10
00
10
10
11
10
11
00
10
11
00
01
00
11
10
01
11
11
11
00
10
10
01
00
11
11
01
10
10
11
00
01
10
10
11
11
10
11
00
01
11
10
01
10
10
11
11
00
10
10
00
00
11
10
01
00
11
00
01
10
10
00
00
00
00
10
10
10
10
10
10
00
00
10
10
10
00
11
11
10
10
01
10
11
10
01
00
00
00
11
10
00
10
10
00
11
10
01
00
00
00
10
00
01
00
11
10
10
11
11
00
01
01
10
11
01
01
00
01
10
11
00
01
11
10
01
00
00
10
00
01
10
10
00
00
10
00
10
00
00
00
00
00
00
00
00
10
10
00
00
01
10
10
00
00
10
00
10
00
00
10
01
01
01
10
01
01
00
11
11
01
00
00
10
10
01
00
11
10
10
10
10
01
00
00
11
00
11
10
10
11
00
01
01
11
10
10
01
00
01
10
00
01
10
00
11
10
00
00
01
01
11
01
10
01
10
10
00
00
00
11
10
00
00
10
11
10
01
01
10
11
10
01
10
01
10
10
01
00
01
00
10
11
10
10
10
00
01
11
00
00
00
10
01
10
00
00
01
10
01
10
10
00
01
11
00
10
10
10
00
00
00
10
10
10
10
00
00
00
01
10
11
10
11
00
00
11
10
01
00
10
10
10
00
01
11
10
10
01
10
00
10
00
00
11
11
00
00
01
00
10
10
10
10
00
00
00
10
10
11
00
10
01
00
10
10
01
00
00
10
10
00
00
11
11
11
01
11
00
11
00
00
00
01
10
11
00
01
01
01
11
00
10
10
01
10
11
10
10
01
00
11
11
00
00
11
11
01
00
10
11
11
00
10
00
01
00
00
11
11
10
01
11
10
01
00
10
00
10
10
01
11
10
01
00
00
00
00
11
01
00
10
00
10
10
10
01
00
10
10
10
11
10
11
01
10
10
00
01
00
00
10
10
11
10
11
00
00
10
00
01
10
01
00
00
00
10
11
10
10
01
10
01
10
11
00
10
11
00
10
10
01
00
01
00
00
11
10
11
10
00
01
10
10
11
11
00
11
00
00
01
01
11
00
01
10
10
00
10
11
00
01
10
00
00
00
11
01
10
10
10
10
11
11
00
11
10
00
00
01
10
01
00
11
00
00
00
10
10
10
00
11
01
10
11
10
01
01
01
11
00
00
00
10
10
10
01
11
10
00
00
00
00
00
11
10
11
01
10
00
00
01
11
10
00
00
01
00
00
10
00
01
10
10
11
10
00
00
01
00
00
10
10
01
10
01
00
11
01
01
10
01
11
11
10
00
10
11
10
00
00
10
10
10
00
00
00
01
00
11
00
10
00
11
11
00
01
10
11
00
01
10
11
10
01
11
10
10
00
10
11
10
00
00
01
11
00
11
10
10
00
10
10
00
00
01
11
10
00
11
10
00
11
10
00
11
10
01
11
10
01
11
10
10
01
00
10
00
00
10
01
11
10
00
10
10
00
10
10
00
10
11
11
01
01
00
01
00
10
00
10
10
01
01
00
11
10
10
00
00
11
10
10
01
00
01
11
00
10
11
00
11
01
11
00
00
00
01
10
11
00
10
10
01
10
01
10
10
10
11
10
11
11
00
01
10
00
10
10
00
01
11
10
00
00
10
00
10
11
10
11
01
00
10
01
00
10
11
00
01
10
01
10
10
00
00
10
10
10
10
00
00
00
01
11
01
10
10
11
10
00
10
00
00
10
00
00
10
01
10
10
01
11
10
11
01
01
10
01
00
10
10
00
10
10
01
00
00
10
01
10
01
00
00
01
11
10
00
00
11
10
00
00
10
00
01
11
11
11
11
00
11
11
01
10
11
00
00
10
10
11
00
10
10
00
00
00
00
01
00
00
10
10
10
10
10
00
00
10
10
11
11
00
01
00
10
11
00
10
01
00
10
10
10
00
00
00
00
10
01
01
10
01
01
01
11
11
10
00
11
10
00
00
11
11
01
11
10
10
00
00
10
10
11
00
10
00
00
10
10
10
00
00
10
01
10
10
00
00
01
00
11
11
11
00
00
10
00
00
11
00
00
00
01
00
11
10
00
00
10
10
10
01
00
11
00
10
00
01
01
10
11
00
01
10
11
01
10
11
00
10
10
10
01
10
10
00
00
11
11
10
11
10
10
01
00
00
10
11
00
11
10
00
10
10
10
00
00
00
10
00
00
11
00
10
01
10
10
10
00
10
11
00
00
10
10
10
11
00
10
01
01
10
10
00
01
11
01
10
01
11
00
00
10
00
10
00
00
10
00
00
00
10
00
00
11
10
00
00
10
01
11
11
00
10
00
11
10
10
00
01
10
10
01
00
00
01
00
11
00
00
11
10
10
01
00
10
10
00
00
11
00
10
00
00
11
01
01
10
10
00
10
01
00
00
00
11
00
10
00
10
01
10
10
00
10
10
11
10
11
10
01
00
01
10
00
01
01
11
10
01
00
11
11
10
11
00
10
11
00
00
10
11
00
11
00
01
11
01
00
10
00
00
10
11
11
00
00
00
00
10
01
10
11
10
00
10
00
10
00
00
10
10
01
00
01
10
11
00
10
00
00
10
10
01
10
00
10
11
10
00
11
10
11
01
01
10
01
01
10
01
00
00
11
01
00
10
10
00
01
01
10
10
10
10
10
10
00
00
00
10
10
01
10
10
11
00
00
10
00
10
00
01
01
01
10
01
01
10
11
00
11
11
00
10
01
10
10
00
01
10
10
00
00
01
11
11
10
00
01
01
10
10
01
00
00
10
01
10
11
11
01
10
10
11
10
11
00
00
00
00
10
00
00
10
00
10
00
10
01
10
10
00
00
00
10
00
00
01
00
10
00
11
10
10
11
11
10
00
00
00
00
10
10
10
00
01
01
00
10
01
01
00
01
10
10
00
10
11
10
00
01
11
10
01
00
10
10
00
01
00
00
11
00
01
11
10
01
11
00
11
00
00
01
00
00
00
10
10
11
10
00
00
10
10
01
10
11
10
00
10
01
00
00
00
01
01
01
00
10
00
01
00
01
10
10
10
11
01
10
11
00
00
00
00
01
11
10
01
00
00
11
10
00
10
11
01
01
10
00
00
11
11
01
00
11
10
01
00
11
00
10
00
01
10
10
10
10
01
00
11
00
10
00
00
10
10
10
00
01
10
00
11
00
10
10
11
10
01
00
10
10
00
10
11
00
00
00
00
00
10
11
01
10
10
10
11
00
01
00
11
11
00
10
01
10
10
10
00
00
11
01
00
10
11
11
00
10
01
00
01
10
11
00
01
11
01
10
10
00
01
10
11
10
01
10
10
00
01
00
11
10
00
11
10
10
10
00
00
11
10
00
01
00
10
10
00
11
00
11
10
00
10
00
01
01
11
10
00
00
11
00
00
11
11
00
11
01
10
10
11
00
01
11
11
10
00
00
11
01
11
10
00
00
10
10
11
00
00
00
00
10
01
10
10
10
11
11
00
10
01
11
11
11
01
11
10
01
01
00
10
00
10
00
10
10
01
10
00
10
00
00
10
11
00
01
10
11
01
11
10
11
10
01
11
10
11
00
10
10
01
01
11
10
01
10
11
10
00
10
10
10
00
00
10
00
10
00
10
10
01
01
11
10
00
10
00
01
10
10
10
11
11
10
00
10
00
00
11
01
01
01
10
01
00
10
00
00
11
00
11
10
11
00
11
00
00
10
10
00
01
01
10
10
00
11
00
00
11
11
10
11
00
01
11
00
00
00
10
10
01
00
11
11
00
01
10
10
01
10
10
01
01
10
10
11
01
00
10
00
10
01
00
01
10
10
11
10
00
00
10
00
00
11
00
00
10
10
10
00
01
00
10
10
00
11
11
01
10
11
10
01
01
10
10
01
00
00
01
10
10
10
00
00
10
10
11
11
11
10
00
00
00
01
11
10
11
10
11
11
10
11
10
00
01
00
10
00
10
00
00
00
10
10
11
01
00
10
00
11
10
00
10
01
01
10
11
01
11
10
10
01
00
01
10
10
00
00
10
00
11
10
10
01
11
00
10
10
00
00
10
10
00
00
10
10
01
11
10
11
00
10
10
01
00
00
00
10
00
10
10
10
00
01
00
01
10
11
10
10
01
10
00
00
00
10
01
10
10
10
01
00
01
11
10
01
00
01
11
10
00
10
10
01
11
10
00
10
10
11
11
00
11
00
01
10
10
00
01
00
10
11
01
00
10
11
00
00
10
10
01
00
10
00
11
00
01
00
10
10
10
01
00
10
11
01
01
10
01
00
00
10
00
00
10
01
01
01
10
00
10
11
01
01
10
11
01
00
01
11
10
00
00
11
00
10
00
00
10
11
00
11
00
10
00
01
10
00
11
10
00
11
00
11
11
10
11
00
00
11
00
00
10
10
00
01
10
00
00
10
11
00
10
10
11
01
00
10
00
10
00
00
11
11
11
01
00
10
10
10
00
00
00
10
11
00
11
10
10
00
00
00
10
11
00
00
00
11
00
01
10
10
01
00
00
10
10
01
00
00
10
11
01
00
10
01
10
10
10
01
10
01
00
11
10
01
01
00
01
00
10
00
01
00
00
10
11
10
00
11
01
00
11
00
11
10
01
00
10
01
10
11
00
00
00
10
10
10
00
00
10
00
00
11
10
10
11
01
01
01
01
00
00
10
10
00
00
00
10
01
10
10
11
11
10
10
00
01
01
10
11
10
10
00
10
01
11
10
00
00
00
00
00
10
10
10
10
10
00
11
10
10
01
00
10
10
10
00
10
01
01
01
10
01
11
11
00
10
00
00
11
10
10
00
00
10
00
01
10
11
10
00
00
00
10
10
10
01
10
00
00
00
01
10
00
00
11
10
11
00
00
00
10
00
01
10
10
10
00
11
11
00
00
10
01
00
10
01
10
10
10
00
01
01
10
10
11
10
01
01
10
00
01
01
11
10
00
11
10
11
00
01
10
10
00
00
01
00
11
10
11
00
00
00
00
10
01
10
10
01
01
01
10
11
00
00
11
10
10
01
00
11
10
10
00
10
01
01
00
10
11
00
00
00
00
11
11
11
00
10
10
00
00
00
00
10
10
10
10
10
01
11
00
11
00
00
11
10
00
01
00
10
10
01
10
00
00
00
10
00
01
11
01
00
00
01
11
11
10
00
00
01
10
00
00
10
00
01
11
10
11
00
10
00
10
00
00
11
10
00
10
11
00
00
10
00
10
00
10
00
10
11
01
01
11
11
00
10
10
10
11
11
10
00
10
01
00
10
01
01
01
11
00
10
10
01
10
11
11
00
00
11
00
01
01
00
10
00
10
10
00
00
00
10
11
00
01
10
00
00
00
11
10
01
10
00
10
11
10
01
00
10
10
11
01
11
10
01
10
10
10
00
00
10
11
00
00
10
00
11
10
00
11
00
10
01
00
10
00
00
10
10
10
10
10
00
00
10
11
01
00
00
10
00
01
11
11
10
01
10
01
11
00
11
10
00
00
01
10
00
10
10
10
01
10
01
00
11
00
10
01
10
00
01
10
11
10
00
00
01
11
10
10
00
10
00
00
11
11
11
01
00
11
10
00
00
00
10
00
00
10
00
10
00
01
10
11
10
00
00
01
10
00
00
10
10
00
10
11
10
00
10
10
00
01
10
10
11
00
10
10
00
11
10
01
00
10
01
10
00
11
11
00
01
11
00
11
00
00
10
10
01
11
11
00
10
10
10
01
00
01
01
00
01
00
01
00
10
01
00
00
00
00
10
00
10
01
10
10
10
10
11
00
01
00
00
01
11
10
10
00
00
00
00
10
10
10
10
11
00
00
00
00
00
10
10
00
00
10
10
01
00
00
01
10
10
10
11
11
00
10
11
00
00
11
01
11
11
10
10
01
00
00
11
10
10
00
11
01
10
10
00
00
11
01
01
10
10
00
00
11
00
00
11
10
11
10
11
01
00
11
10
00
00
00
00
01
10
00
10
10
11
00
00
00
10
10
10
10
10
01
00
00
01
00
11
11
11
10
01
01
10
10
01
00
00
01
01
10
10
00
01
10
10
00
11
11
01
01
10
00
01
10
00
00
01
11
00
00
10
00
00
10
01
01
00
00
01
10
11
01
00
01
01
10
11
10
00
11
10
00
11
10
01
00
11
00
00
10
01
10
11
10
01
10
11
00
00
00
11
10
01
01
10
11
01
00
10
01
01
00
00
10
10
01
10
01
11
11
01
10
11
10
10
00
10
10
00
01
10
01
00
01
00
11
10
11
11
00
00
01
00
10
00
00
10
11
00
10
10
10
11
01
00
11
00
10
00
10
11
01
00
11
00
00
01
00
10
10
11
00
01
10
10
10
01
00
11
10
01
10
10
10
01
01
11
00
00
00
00
00
11
01
01
11
01
00
00
10
10
00
00
11
11
10
11
10
11
10
11
00
01
00
10
10
01
10
10
00
11
00
01
10
00
11
10
11
01
00
10
00
11
10
10
00
00
10
10
00
00
01
00
10
00
00
01
01
01
10
11
10
00
10
00
00
10
11
10
01
00
10
00
10
11
01
00
11
01
01
10
01
00
10
10
00
00
11
10
01
11
00
11
10
00
00
10
10
10
00
00
01
11
10
10
10
10
00
10
10
00
00
10
00
00
00
11
01
01
10
00
10
00
10
10
00
00
11
11
11
10
00
10
10
01
00
11
01
01
11
00
10
10
00
00
00
10
10
00
00
10
00
11
10
10
00
01
01
11
00
11
11
00
01
10
10
01
10
11
00
01
10
00
11
11
00
01
01
11
00
01
10
01
00
01
01
10
10
11
00
00
00
10
01
00
10
00
10
11
01
10
00
01
00
11
00
10
00
00
00
11
00
00
00
11
10
10
11
11
01
11
00
01
10
10
10
00
11
10
00
10
00
11
00
11
11
10
11
00
10
01
01
00
00
11
00
00
11
11
10
10
10
00
10
00
01
00
11
10
01
11
11
01
10
10
00
00
01
10
10
00
01
10
00
10
10
01
00
10
10
01
11
00
10
00
00
11
10
00
00
10
10
10
00
00
10
11
00
10
00
11
11
00
11
10
00
00
00
10
01
01
10
10
10
10
00
01
10
01
00
10
00
11
01
10
10
01
01
01
10
10
10
00
01
00
10
01
01
11
00
00
01
00
01
10
10
00
00
10
00
01
11
10
01
11
00
10
00
10
11
01
00
00
11
11
11
00
10
10
00
00
11
00
00
10
00
00
11
01
11
11
10
01
10
00
01
10
11
00
00
11
00
11
11
10
01
00
10
00
01
00
10
10
11
00
00
00
00
11
10
10
11
11
10
01
10
10
00
10
00
10
00
01
00
00
10
00
10
00
01
11
10
00
01
00
01
10
10
11
00
00
10
00
01
00
00
10
00
10
01
00
01
11
11
00
01
00
10
00
10
00
01
10
10
00
00
00
00
00
10
00
00
11
01
01
10
01
01
00
10
00
11
11
01
00
00
10
00
10
00
01
11
11
00
10
10
00
00
10
11
00
01
00
10
00
00
11
10
00
10
11
10
01
01
01
01
00
10
10
00
00
00
10
00
10
11
10
00
11
10
01
10
10
00
00
00
11
10
00
10
00
11
01
00
10
01
10
10
10
10
01
00
10
00
11
10
11
11
01
10
00
10
01
10
10
11
10
11
11
00
01
00
11
11
00
01
00
01
11
10
01
00
10
10
11
01
00
10
00
10
10
10
00
10
00
01
11
01
01
11
01
10
10
11
00
00
10
01
00
10
10
00
10
10
10
01
11
10
11
10
10
11
11
00
10
01
01
11
10
00
10
00
11
10
01
11
00
00
10
00
01
00
10
00
10
10
10
10
10
01
01
10
11
11
01
10
01
00
00
00
01
00
10
11
00
10
10
00
00
10
11
00
00
00
10
10
10
10
01
10
10
00
00
10
10
10
00
00
00
10
01
10
11
10
00
00
11
10
10
01
01
10
10
00
00
10
01
00
10
01
10
11
10
00
00
10
11
00
10
10
00
00
01
10
10
01
10
10
01
10
00
11
10
11
00
10
00
00
01
11
10
01
10
11
10
00
00
00
00
00
00
01
10
10
00
11
01
00
11
10
00
01
00
11
01
00
01
00
10
00
00
10
00
10
11
10
00
01
00
01
10
01
00
00
01
10
00
10
11
00
01
10
10
10
00
00
11
00
01
10
00
01
10
00
10
10
10
00
10
00
10
10
00
10
00
11
11
10
10
11
10
00
00
10
01
01
11
11
10
11
00
00
11
11
01
00
10
10
00
00
00
00
10
11
00
00
10
00
00
00
11
10
00
01
10
01
01
11
00
10
01
10
10
00
10
10
01
00
11
00
11
00
01
10
01
01
11
11
01
00
10
10
00
10
10
01
00
11
10
00
00
10
00
11
10
00
10
10
10
10
11
11
10
10
10
11
00
01
00
01
10
10
01
00
11
10
11
11
01
00
10
10
00
00
10
10
00
00
10
00
00
00
00
01
10
10
00
10
00
01
10
01
01
00
10
10
00
10
11
00
10
11
00
01
00
00
10
10
11
10
00
10
00
01
00
00
10
00
10
10
10
10
10
00
11
01
11
01
00
10
01
10
00
01
10
10
00
00
11
00
10
00
11
00
10
00
11
00
10
10
10
00
00
10
10
00
01
00
01
00
10
00
11
11
01
10
01
11
11
11
10
00
01
11
00
01
11
10
10
11
11
01
11
10
00
10
01
01
10
01
00
10
01
10
00
10
10
00
10
00
11
00
11
00
01
10
10
10
00
00
10
00
01
00
10
10
01
00
01
01
00
00
01
00
11
11
00
00
10
01
10
00
10
01
00
11
11
10
10
10
00
00
11
11
00
00
00
10
00
10
11
01
11
00
11
11
00
11
01
01
11
10
10
00
10
10
01
00
11
10
10
00
10
11
11
01
10
00
00
01
10
10
00
01
11
10
11
10
10
00
11
10
00
00
00
01
10
11
00
01
00
11
10
10
10
00
10
00
10
10
00
00
01
00
00
10
10
10
00
00
01
11
00
11
10
01
00
10
11
10
00
11
00
11
10
01
10
00
00
00
10
11
10
11
11
00
11
01
10
10
10
01
01
11
01
10
00
00
00
10
00
11
11
00
10
10
10
11
01
11
00
11
11
00
01
01
10
11
10
00
00
11
10
01
00
10
10
01
10
10
10
00
11
11
11
00
11
10
00
01
11
11
00
10
00
10
10
11
10
01
10
01
10
01
00
01
10
00
01
11
11
00
01
11
11
10
00
00
10
11
10
00
00
00
11
00
10
00
01
10
01
00
11
10
10
00
01
10
10
00
01
10
00
10
00
11
01
10
11
00
00
11
11
01
00
10
11
11
01
01
00
11
00
00
11
11
11
01
10
10
10
11
01
00
10
10
01
00
11
00
01
00
10
10
00
00
10
00
00
00
11
10
00
10
01
10
10
11
00
10
10
11
00
11
00
10
10
10
10
00
00
10
00
11
10
01
10
10
10
01
01
00
00
11
01
10
11
00
00
00
11
10
11
00
00
10
11
10
00
00
11
01
01
01
11
11
01
10
10
10
01
01
10
10
00
00
11
00
00
10
10
00
11
11
11
10
10
10
10
11
00
01
01
01
01
10
00
10
10
00
00
00
10
10
01
01
01
10
11
10
01
11
01
11
11
01
00
00
10
10
00
11
11
10
00
01
11
00
01
00
11
00
01
10
11
01
00
01
10
10
10
10
00
10
10
00
00
00
00
01
10
11
10
00
01
10
10
01
01
11
10
01
01
00
10
10
00
00
00
11
10
00
00
10
01
10
10
00
10
11
10
01
00
11
10
10
10
00
10
00
11
10
01
00
00
00
11
11
10
00
00
10
00
10
10
01
00
10
01
01
11
10
00
00
00
00
11
10
00
00
10
10
00
01
10
00
00
00
00
10
10
10
01
01
00
00
10
10
00
10
10
00
01
10
10
00
11
00
10
11
00
00
10
10
10
10
00
10
10
00
10
10
00
01
10
00
10
10
10
10
10
11
01
01
01
11
01
01
10
00
11
10
01
01
10
11
00
10
01
11
10
10
00
10
10
10
11
00
00
00
10
10
10
10
11
01
00
01
01
10
01
10
00
01
01
10
11
01
10
10
00
00
11
01
00
10
10
11
00
00
00
10
00
00
11
10
10
10
00
00
00
00
10
01
00
10
01
10
00
10
01
00
01
11
10
11
01
00
00
10
10
11
01
01
11
00
11
00
10
00
01
10
10
01
10
11
00
00
00
00
11
00
10
10
00
01
11
01
10
10
10
00
00
01
01
10
10
01
10
10
10
00
10
10
00
10
00
00
11
01
01
00
01
10
01
10
11
00
00
11
00
11
10
01
01
11
10
01
01
11
00
10
00
00
11
10
00
11
10
00
10
10
11
00
00
11
00
00
10
10
00
00
11
11
00
01
01
11
01
00
10
11
10
00
01
00
10
01
01
11
00
00
10
00
11
10
00
00
00
10
01
00
11
00
10
10
00
11
10
00
01
01
11
00
00
01
10
11
01
00
10
10
10
00
00
10
01
10
10
01
00
00
00
10
10
01
11
10
01
10
00
01
10
10
10
00
00
10
10
10
01
10
00
00
10
01
11
10
00
01
11
00
11
10
10
11
10
00
11
11
00
00
11
10
00
01
11
01
00
10
10
10
11
01
10
00
00
10
01
11
01
00
11
10
00
00
01
10
10
11
01
11
10
10
01
11
10
10
00
01
11
10
01
11
10
10
00
01
11
00
00
10
11
00
00
01
10
00
00
11
11
10
00
00
10
10
10
10
00
10
00
11
11
10
11
00
10
00
00
00
10
00
00
10
11
10
11
01
10
11
00
00
10
11
01
01
00
10
10
00
11
01
00
10
10
10
11
00
11
11
00
00
10
11
01
10
11
00
00
10
00
00
00
10
11
00
10
01
10
10
10
00
01
00
11
00
10
10
01
10
10
01
00
10
10
10
00
00
10
10
11
00
11
00
00
01
11
00
00
10
10
10
00
00
10
10
11
00
10
00
10
01
10
10
00
10
00
00
01
10
10
10
11
00
10
10
00
00
01
10
11
00
00
01
01
10
00
11
10
00
10
00
10
00
10
10
01
01
00
01
11
00
11
01
11
11
11
01
00
01
11
00
10
10
01
10
01
00
10
11
10
10
00
00
10
00
00
00
00
11
00
10
00
01
10
01
10
10
11
10
11
01
00
10
00
00
10
00
00
11
00
10
01
01
10
11
10
00
00
10
01
00
10
11
00
00
11
11
00
11
01
10
10
00
01
10
10
00
00
10
11
00
00
00
11
01
11
00
01
01
10
01
00
10
10
11
00
01
11
10
00
11
01
01
00
10
10
10
00
10
00
01
11
10
11
01
11
10
10
01
00
00
00
00
10
10
10
11
10
10
11
00
11
10
10
10
00
00
00
00
00
11
10
10
01
10
00
00
00
00
11
11
01
10
11
11
00
00
10
00
00
10
11
10
00
00
00
11
11
00
00
01
11
10
00
01
10
01
10
00
10
11
00
01
11
10
00
01
10
11
01
10
01
10
00
11
01
00
01
10
11
10
10
00
01
00
00
10
10
00
00
00
11
10
11
01
00
10
11
01
00
10
10
00
11
00
10
10
00
01
10
00
00
10
01
01
10
10
00
01
00
01
10
00
10
10
01
11
10
00
00
10
11
10
00
00
00
10
10
01
10
01
11
11
00
10
01
00
00
11
11
10
00
01
01
11
11
01
01
11
10
00
00
10
00
10
00
00
10
10
00
01
01
10
10
01
10
11
11
00
10
01
11
11
00
01
11
10
10
11
00
00
10
00
00
10
11
10
11
01
00
10
00
00
00
01
00
10
11
10
10
11
00
00
10
00
01
11
11
00
00
00
10
11
00
10
11
00
11
00
00
10
01
10
00
00
10
01
01
00
11
10
01
00
10
00
10
10
00
00
10
00
00
00
00
11
11
00
10
10
10
10
10
10
11
10
00
00
11
11
10
00
01
01
00
00
10
10
10
00
00
00
10
10
00
10
10
00
10
10
10
01
10
01
00
10
00
01
01
01
10
10
10
00
10
10
01
10
00
00
11
00
00
01
01
01
00
00
10
00
01
01
00
10
11
10
00
00
11
10
11
10
00
00
00
00
00
00
11
10
00
10
01
10
11
00
11
01
00
10
00
00
10
10
00
10
01
00
01
10
00
00
00
00
11
10
01
00
10
01
01
10
01
10
10
10
01
00
10
10
11
10
00
10
00
00
11
10
01
00
11
10
00
11
01
01
10
10
00
11
00
11
00
00
00
11
10
00
00
11
11
01
10
00
00
10
10
11
11
11
00
00
00
11
10
01
10
11
00
10
01
10
10
11
10
00
00
10
01
10
11
01
01
01
01
00
11
00
10
10
01
00
00
01
10
10
10
10
01
00
00
10
11
10
11
10
00
11
10
01
10
00
00
00
10
11
00
10
11
00
00
01
11
10
10
10
00
00
11
10
00
00
10
10
00
01
10
10
00
01
10
10
00
10
10
00
11
01
00
10
10
00
10
10
01
00
10
10
01
01
01
01
10
01
00
10
01
00
11
10
11
00
01
10
11
00
10
00
10
10
00
00
10
11
00
10
01
01
00
00
11
01
10
00
10
10
10
11
11
01
00
11
10
00
01
10
10
01
00
00
10
10
10
10
10
00
10
10
10
11
00
01
01
11
10
00
00
11
10
01
01
10
10
11
00
01
11
10
00
10
10
01
00
00
11
10
11
11
00
11
10
11
10
10
10
01
11
10
00
00
01
11
10
00
10
10
10
01
10
10
00
11
00
00
10
10
01
11
00
11
10
00
11
10
10
00
00
10
10
10
10
01
00
11
11
01
00
10
01
00
00
11
10
11
00
10
10
10
10
00
00
00
11
11
00
10
01
11
11
11
00
10
01
01
00
00
00
10
01
00
10
10
00
11
01
10
00
00
11
00
00
00
01
10
11
11
10
10
00
11
01
00
11
01
10
11
10
00
00
10
00
10
00
10
11
11
00
00
10
10
00
01
11
00
00
10
00
00
00
00
10
00
10
10
11
00
00
10
10
10
10
00
10
01
01
00
00
00
10
01
10
10
00
11
11
00
11
10
10
11
10
00
00
11
10
11
00
10
11
01
00
11
10
00
00
01
11
11
01
01
00
11
11
00
01
10
00
00
10
11
10
10
11
11
11
00
11
11
01
10
10
10
00
01
11
11
00
00
11
10
00
00
10
00
10
11
01
11
10
00
11
10
00
11
00
10
10
00
01
10
10
11
01
01
00
10
00
11
11
01
11
11
01
01
01
10
00
00
10
10
01
01
00
10
10
00
00
00
11
10
10
00
00
00
00
01
00
00
10
10
10
00
00
00
11
11
10
01
00
10
10
11
00
11
11
01
10
11
10
00
10
10
00
00
10
11
11
00
00
10
00
00
10
10
11
01
10
11
00
10
10
00
00
01
10
10
00
00
01
11
01
11
10
10
11
11
01
10
11
00
01
11
00
00
01
11
10
10
01
01
10
10
01
10
01
01
10
11
10
01
01
00
10
10
01
11
00
00
11
10
00
10
11
00
01
01
10
10
10
10
00
10
10
01
00
10
10
10
00
01
01
10
00
01
10
10
10
11
01
00
10
11
00
11
10
11
01
00
10
00
00
11
11
10
00
01
10
11
00
00
00
10
00
10
10
10
01
10
10
11
11
00
10
01
10
00
00
00
00
10
11
00
11
10
00
00
01
00
00
11
10
00
11
00
10
00
00
10
11
00
11
00
11
01
11
11
11
00
01
00
10
01
00
11
10
00
11
00
00
10
00
00
10
11
00
10
10
00
00
01
01
10
11
00
01
10
11
00
00
00
11
00
10
00
00
00
10
00
01
10
10
01
00
11
10
10
00
11
00
00
00
10
11
00
11
00
11
00
01
11
01
00
11
00
00
00
00
10
10
00
00
11
11
10
01
00
01
00
00
00
11
10
01
01
00
11
10
01
11
10
00
01
11
11
11
00
10
11
10
10
00
00
00
11
11
01
11
00
10
10
00
01
10
10
01
00
11
10
00
11
01
01
11
00
11
00
00
11
01
10
11
00
01
10
11
00
01
10
01
11
01
10
10
01
11
00
00
10
01
10
10
01
11
10
10
00
00
10
01
00
11
10
00
00
01
00
00
00
11
11
11
10
00
01
10
00
00
10
11
11
01
00
10
00
00
00
10
10
01
00
10
00
00
10
10
00
00
01
00
11
01
10
01
00
10
00
00
11
01
01
01
11
01
00
10
10
00
00
10
10
00
00
10
10
00
11
11
00
10
10
10
11
00
00
10
10
00
10
01
00
10
00
10
00
10
10
00
00
10
10
01
01
01
11
10
00
11
11
00
00
10
10
10
00
00
11
11
01
00
10
11
01
00
00
00
10
11
10
01
10
00
00
10
00
10
00
00
10
01
00
10
01
01
10
00
10
11
00
00
00
11
01
00
11
10
00
00
10
11
00
00
10
10
11
00
11
00
00
11
00
10
10
00
00
00
10
10
00
00
00
10
00
10
01
00
01
11
10
10
00
11
10
01
00
11
10
01
00
10
10
00
00
11
10
00
00
11
00
10
11
00
01
00
00
11
11
01
10
11
00
10
00
00
10
00
00
10
10
00
10
11
10
11
00
11
10
11
00
00
00
01
11
10
10
10
10
10
00
00
00
10
10
10
01
00
01
10
10
11
01
11
10
00
11
11
01
10
00
00
10
10
00
10
00
01
01
01
11
00
01
00
10
10
10
00
00
11
10
00
00
10
10
10
00
00
11
00
01
10
00
10
00
01
10
01
01
10
10
00
11
11
11
01
10
00
01
11
10
01
00
00
10
01
00
10
10
10
10
00
10
00
00
10
10
11
10
00
01
01
00
00
00
11
10
00
01
11
00
01
10
01
01
00
10
00
00
11
11
01
00
11
10
10
00
10
00
00
10
01
10
11
00
10
10
00
11
10
10
00
01
10
10
10
10
01
00
00
00
10
11
00
10
11
01
11
10
10
00
11
01
11
00
00
01
11
00
11
00
00
01
00
11
11
10
00
00
10
11
10
00
10
00
00
10
01
01
11
10
10
00
11
10
00
10
10
11
00
10
10
10
10
00
11
01
00
11
00
10
00
00
10
00
10
11
10
01
01
11
10
10
10
01
11
10
10
10
11
10
00
01
00
00
10
00
10
00
01
10
01
10
00
00
01
00
11
11
00
11
11
00
10
10
00
00
11
11
00
01
00
10
10
00
01
11
10
01
10
10
10
10
00
10
10
01
00
11
00
00
10
01
10
01
00
10
00
01
00
11
10
00
01
10
01
00
10
10
10
11
10
11
01
00
01
00
10
00
10
10
00
01
10
00
11
01
00
10
10
01
00
10
10
10
00
00
00
10
01
00
10
11
01
00
11
00
11
11
00
10
10
10
00
11
00
01
00
10
11
10
01
11
11
11
10
01
10
00
00
11
11
00
10
10
00
10
00
01
11
10
00
00
10
10
10
01
10
11
00
01
00
10
11
10
00
00
10
10
11
00
01
11
10
00
00
11
10
00
00
00
00
10
00
00
11
10
00
10
11
00
01
00
01
10
11
11
00
00
10
00
01
00
11
10
01
00
10
10
00
01
00
11
10
01
10
10
01
10
00
00
10
01
00
01
10
10
10
10
00
11
00
00
00
10
10
00
00
11
10
10
01
00
11
10
01
10
10
01
10
00
11
10
00
00
00
10
11
01
00
00
10
10
00
11
10
00
11
11
01
10
00
00
01
10
00
10
00
00
10
01
11
10
01
10
10
11
00
01
11
11
00
01
01
11
11
00
10
00
00
11
11
00
00
11
00
11
11
10
01
10
10
10
00
01
10
11
01
00
01
00
10
01
10
10
00
10
00
11
01
00
10
00
11
00
10
01
10
11
00
00
10
01
11
00
11
11
00
00
00
10
10
01
00
10
11
11
10
10
00
00
00
00
11
10
00
00
10
00
10
10
10
10
00
01
11
10
00
00
01
00
00
10
10
11
00
00
01
10
10
01
11
10
10
10
10
00
00
01
10
11
01
00
00
10
10
10
10
00
00
00
11
10
01
00
10
10
00
11
00
11
11
00
10
00
01
10
10
00
10
00
01
01
00
00
00
10
10
10
10
11
00
01
00
11
00
00
00
10
10
00
00
11
11
01
10
01
00
10
10
01
10
10
00
00
10
00
10
10
10
01
10
00
01
00
10
10
00
00
00
10
10
10
00
00
00
10
10
00
00
11
10
10
00
00
10
11
10
00
10
10
00
10
00
00
10
01
00
10
11
00
00
11
00
01
10
11
10
01
10
01
00
10
10
11
00
01
10
10
00
10
00
10
00
00
11
10
00
00
00
10
01
11
10
10
10
10
10
00
00
00
11
11
10
00
00
00
00
11
10
01
10
00
00
01
00
01
11
10
10
00
01
11
10
01
00
10
10
11
11
00
00
10
01
01
11
11
10
00
00
10
10
00
01
11
11
00
10
10
00
00
00
00
11
11
01
00
10
10
10
00
00
00
10
10
11
00
10
10
00
00
11
00
01
01
01
11
11
01
10
11
01
00
00
01
10
10
01
00
11
00
01
01
10
01
10
00
00
00
10
01
10
11
01
01
01
10
10
00
11
10
00
01
01
10
11
00
10
11
01
11
00
01
10
00
00
00
01
10
10
01
00
11
11
10
00
11
00
00
00
11
10
10
10
00
11
11
01
10
11
00
00
11
10
00
00
11
11
00
10
01
10
00
00
01
11
00
10
00
10
10
01
01
00
11
00
11
10
00
00
10
00
00
10
10
00
01
10
11
10
10
00
01
11
10
00
00
01
01
10
10
10
00
11
11
01
01
10
00
10
11
10
11
10
00
10
11
01
01
00
11
01
10
10
00
00
11
00
00
11
10
10
00
01
10
10
01
10
10
00
01
10
00
00
10
00
01
00
10
10
00
10
01
00
00
00
10
00
10
10
00
10
10
10
01
01
10
10
00
01
00
10
10
11
00
01
01
01
00
11
10
00
01
01
11
10
10
00
00
11
10
00
00
00
01
00
00
10
11
00
01
01
00
10
01
11
00
11
10
01
10
10
11
00
10
10
11
01
10
00
11
10
10
01
00
00
00
00
10
10
01
10
10
00
10
10
10
11
00
10
00
11
10
11
10
11
10
00
10
00
01
00
01
01
11
10
01
10
00
00
10
00
11
11
01
11
00
10
10
01
00
00
11
11
01
01
00
11
10
11
00
00
00
10
11
10
00
00
00
00
10
10
10
00
10
00
01
11
10
10
00
11
10
10
00
00
10
00
10
11
10
00
01
11
00
00
10
10
10
01
00
00
11
10
01
11
10
00
01
10
10
00
01
11
01
00
10
10
11
01
00
11
11
10
00
10
10
10
00
00
00
10
00
00
00
10
10
11
00
01
01
00
00
00
10
00
01
10
11
00
00
10
10
00
10
01
00
10
10
10
11
10
00
00
00
00
10
00
00
10
00
11
11
11
00
00
10
11
11
00
10
10
00
10
10
10
00
00
00
00
01
01
01
11
01
11
11
00
10
10
01
00
00
10
10
00
00
00
01
10
10
00
00
10
11
00
01
00
10
10
01
10
10
10
00
11
10
10
11
00
10
11
10
01
00
10
10
10
00
10
10
01
00
01
10
00
00
10
11
10
01
00
00
00
10
00
01
00
00
10
10
10
11
11
01
00
00
01
11
01
11
11
00
00
10
10
01
00
11
11
00
00
00
11
00
10
10
10
00
10
10
00
10
00
00
11
10
10
10
01
00
01
00
01
00
01
10
01
00
11
10
10
00
01
10
00
11
10
00
10
00
00
00
11
10
11
10
00
11
00
10
00
11
10
00
00
00
10
00
10
11
11
10
01
10
10
00
11
00
01
10
11
00
11
10
00
10
10
01
00
10
11
11
01
01
11
10
10
10
00
00
10
10
10
00
00
10
01
10
11
11
00
01
00
11
10
10
10
01
01
11
10
00
10
11
00
10
11
00
10
00
11
01
00
11
01
10
01
00
01
00
10
10
10
00
10
11
10
01
00
01
00
01
00
01
10
11
00
10
11
11
01
00
11
11
11
01
10
10
10
00
00
01
10
11
01
00
00
01
10
11
01
01
11
01
01
00
11
10
00
00
11
00
10
10
00
01
01
01
01
01
10
10
00
00
10
10
10
01
10
11
01
00
01
10
11
10
10
01
01
01
10
00
10
10
11
00
00
10
10
10
00
11
10
11
00
10
10
10
01
00
00
11
10
00
01
10
11
10
01
00
00
00
01
10
11
10
00
10
10
10
10
11
00
11
10
00
01
10
00
00
00
10
10
00
00
01
10
00
10
10
01
11
11
00
11
00
10
11
00
01
10
10
00
11
10
00
00
10
00
00
10
11
10
00
10
01
00
10
01
00
11
11
00
01
10
10
00
00
10
11
00
01
00
11
00
11
00
00
10
00
00
10
11
11
01
11
10
11
10
10
11
00
00
10
00
00
00
00
11
00
00
10
00
01
10
11
10
01
01
00
00
10
10
01
01
11
10
00
00
10
10
11
00
01
00
11
10
00
00
10
11
10
00
01
00
11
10
10
10
01
00
10
00
00
10
11
11
10
10
10
00
10
10
00
10
10
00
01
10
01
10
00
00
10
00
01
10
10
00
01
00
00
11
00
00
11
10
01
00
10
00
00
10
00
10
10
00
10
10
00
10
00
00
11
00
10
00
11
00
00
10
11
10
00
00
10
00
10
11
10
00
00
11
01
00
01
00
00
10
10
11
00
00
10
10
00
10
00
00
11
11
00
01
00
10
01
10
00
00
00
00
00
10
01
11
11
01
01
10
00
11
11
00
01
00
11
11
10
00
00
00
01
10
00
11
10
00
10
10
01
10
10
00
10
01
10
01
00
00
11
10
01
01
10
10
00
10
00
01
11
00
11
11
10
10
10
00
10
00
10
11
01
01
10
01
11
10
00
00
10
00
11
10
00
01
11
10
00
10
00
00
01
11
11
01
00
11
00
00
10
01
01
11
00
00
11
00
00
01
10
10
10
10
00
00
00
00
10
10
01
10
00
01
00
10
11
00
01
00
10
00
11
11
11
01
01
00
01
00
10
01
00
11
11
00
10
01
00
10
00
00
01
10
10
00
10
10
10
01
00
00
01
00
00
10
11
10
00
00
10
00
11
01
01
00
00
10
11
10
10
00
10
11
10
00
01
00
10
00
10
11
10
00
00
00
10
00
01
01
00
01
11
00
11
01
10
11
00
01
11
10
00
11
00
00
00
10
10
00
00
01
00
11
01
01
00
01
00
00
10
10
11
11
10
01
00
01
01
00
10
00
01
11
00
00
10
11
10
01
01
00
10
11
00
10
11
00
00
10
11
10
00
00
00
00
00
10
10
10
00
00
10
11
10
00
11
11
10
10
00
00
00
00
10
10
00
00
00
11
00
00
01
01
11
10
11
11
00
10
00
00
10
00
00
00
00
10
10
10
10
00
10
10
00
00
00
10
10
00
01
00
00
00
11
11
00
01
10
10
00
00
10
10
00
00
11
11
01
00
01
10
00
10
11
01
00
10
11
00
10
00
00
10
10
01
00
00
00
10
10
11
10
00
00
01
01
10
00
01
10
00
00
10
10
10
00
10
10
00
00
10
10
10
00
00
10
00
00
10
10
11
11
11
10
10
10
11
10
11
00
01
10
10
00
10
01
01
11
10
11
11
11
00
10
00
01
10
01
10
00
00
00
01
10
11
00
10
11
10
00
00
00
00
11
10
01
01
01
10
11
00
00
10
10
11
10
00
00
10
10
01
10
00
10
10
10
10
00
01
10
11
00
00
11
00
10
01
10
11
10
10
00
00
01
11
01
00
00
11
00
10
00
10
10
00
10
11
10
00
11
11
10
01
11
00
00
10
10
10
00
00
00
10
10
00
11
10
01
00
01
00
00
00
10
10
00
00
11
10
00
10
11
10
00
00
00
10
11
10
11
10
00
00
10
11
01
11
01
10
11
01
11
10
01
10
10
01
01
01
10
10
01
00
00
10
11
01
00
11
01
10
01
11
10
00
00
01
10
10
11
11
00
01
01
00
00
10
10
01
01
10
10
00
11
00
11
10
01
00
00
00
11
01
11
11
00
10
01
00
10
00
00
10
00
01
01
00
11
10
10
11
11
00
00
00
10
10
01
10
11
00
10
00
01
01
10
10
01
10
00
10
10
10
10
00
01
00
10
01
10
00
11
10
00
10
00
01
01
11
11
01
11
10
00
10
10
00
00
11
00
10
10
10
11
00
00
00
00
11
01
00
10
00
00
11
11
10
11
01
10
01
01
00
10
10
01
01
10
00
00
11
10
11
10
01
00
01
10
10
10
00
10
10
11
00
10
11
11
11
01
00
10
01
10
11
01
00
11
00
10
11
10
10
10
00
00
10
00
10
10
10
11
01
10
10
01
10
01
00
01
10
00
00
10
11
11
10
00
00
10
00
10
11
11
10
10
10
11
00
11
00
01
10
00
10
01
11
10
01
00
00
11
10
10
10
11
01
00
00
01
10
11
00
00
10
10
10
00
11
11
00
00
01
00
01
10
01
01
10
10
00
00
11
00
11
01
00
00
11
10
10
00
00
00
10
01
10
00
11
10
00
10
10
10
00
00
11
01
01
00
00
10
11
01
10
00
10
11
01
00
00
10
01
00
11
01
00
01
00
00
00
00
11
11
10
10
00
00
00
10
00
01
10
01
10
10
10
10
01
00
10
10
10
00
01
01
10
01
01
00
11
11
10
10
00
01
00
00
10
11
00
11
10
00
10
10
10
00
11
00
10
10
01
10
00
11
00
00
00
10
10
11
00
11
00
00
00
01
01
10
00
11
00
01
10
00
10
10
11
01
00
10
00
10
11
10
00
00
10
11
11
01
01
00
10
10
00
01
01
01
11
11
01
01
11
10
10
01
01
10
00
10
01
00
10
01
10
01
11
10
01
01
11
10
11
10
00
00
11
01
00
00
10
11
10
01
00
11
00
00
10
10
01
00
10
10
10
00
00
10
10
00
01
00
01
10
00
00
10
00
10
10
10
00
10
11
10
01
00
00
01
11
10
11
00
00
01
10
10
00
00
11
10
01
00
00
10
10
01
11
00
01
10
01
10
00
00
10
10
10
11
00
00
00
10
10
11
11
00
10
11
00
11
00
01
10
10
00
00
10
10
11
01
00
10
00
00
00
01
11
00
01
10
00
10
10
11
10
00
10
11
00
10
11
10
10
11
00
00
10
10
01
11
10
00
10
01
01
00
10
10
10
00
00
00
10
10
00
01
01
10
00
10
00
10
00
00
01
00
00
10
11
10
01
01
00
00
10
00
00
10
10
10
00
01
11
01
11
10
00
00
10
10
10
01
00
11
00
01
00
11
00
01
10
00
00
10
10
01
10
01
10
10
01
10
00
00
00
10
00
00
11
11
11
11
00
10
01
00
10
10
10
00
10
10
10
00
10
00
11
10
00
11
00
00
01
00
10
10
01
00
01
11
01
11
10
00
00
11
01
01
10
11
01
11
00
11
10
01
10
00
00
10
00
10
11
10
11
00
00
10
10
00
10
11
01
01
01
01
10
00
00
10
00
00
01
10
10
11
10
10
00
00
10
01
10
10
00
01
00
11
01
00
00
11
11
00
10
10
01
10
01
01
10
01
10
10
01
10
11
00
00
01
11
01
01
10
10
00
10
11
00
00
10
10
11
00
00
11
10
10
10
10
01
01
00
01
00
00
10
11
00
10
10
00
10
11
00
00
10
11
10
01
00
10
00
10
00
00
11
10
00
00
01
00
10
11
10
01
10
11
10
01
10
11
10
01
11
11
10
01
01
10
01
00
10
11
00
01
01
00
10
10
01
11
10
00
00
10
11
01
10
11
00
10
01
00
00
11
10
00
10
00
11
10
00
00
00
10
10
01
01
10
01
00
10
00
10
10
00
10
10
11
00
00
00
01
00
10
11
10
10
00
01
10
10
10
00
10
11
01
00
10
10
10
00
01
01
00
10
10
10
10
01
00
00
00
10
10
10
01
10
10
01
00
10
10
00
01
10
10
01
00
00
10
10
00
11
10
00
10
10
00
10
00
10
11
10
11
00
01
11
10
00
01
01
11
10
10
00
11
01
01
10
10
00
10
10
10
10
00
00
10
10
00
01
00
00
00
00
00
11
00
10
00
00
11
10
10
10
00
00
00
00
10
00
01
10
10
10
00
01
10
10
01
01
10
01
11
11
00
10
10
11
11
00
00
01
10
01
10
11
00
01
10
01
00
10
11
00
00
10
00
11
00
10
11
11
01
10
01
10
01
11
00
00
11
00
10
10
01
11
00
11
11
01
00
01
01
01
01
10
11
01
00
00
10
10
10
00
00
10
10
10
11
11
00
00
10
10
01
10
10
10
00
01
11
10
00
01
11
01
01
00
10
10
10
01
00
10
10
00
01
10
00
11
00
00
01
00
00
10
10
01
11
10
00
00
01
10
00
11
00
00
10
10
00
10
10
11
00
00
01
10
01
00
10
10
00
00
00
00
00
01
11
10
00
00
11
11
00
11
11
10
10
00
10
00
01
10
10
00
01
01
00
11
00
01
00
00
10
00
00
00
01
10
00
00
00
10
00
11
10
00
10
00
10
00
11
10
00
11
11
01
00
10
11
01
01
00
10
00
11
01
10
01
01
00
01
01
00
01
00
10
00
00
10
11
11
00
01
10
10
10
10
11
11
01
01
00
01
00
10
10
11
00
10
11
00
01
10
00
11
11
10
00
10
11
10
01
00
10
10
00
01
01
01
11
10
10
00
10
10
00
00
00
00
11
01
00
00
10
10
10
00
10
10
10
00
00
10
10
01
11
00
01
10
10
10
00
01
10
01
00
11
01
01
10
11
10
01
00
10
10
10
10
00
01
10
11
01
00
11
00
11
11
10
00
11
01
01
10
11
11
00
00
00
00
10
10
00
10
10
01
10
00
10
10
10
01
10
11
10
11
01
10
10
01
10
11
00
00
10
11
00
01
11
11
10
00
01
01
10
11
00
00
10
01
00
01
10
11
11
01
11
10
10
00
10
10
10
11
00
10
10
01
01
10
00
00
10
01
10
11
00
11
00
10
10
00
10
01
11
10
10
00
00
10
10
01
00
01
10
00
11
10
11
00
10
11
01
00
10
00
10
10
00
00
00
01
10
01
00
00
11
10
00
11
00
01
11
01
11
00
01
00
10
10
10
00
00
01
10
01
11
00
10
00
00
00
00
11
10
10
11
10
10
00
01
01
10
00
00
10
11
10
01
00
11
00
11
00
00
10
10
10
00
11
10
10
11
00
00
00
00
00
10
11
11
10
01
11
00
01
00
01
11
10
01
00
11
11
10
01
10
01
01
01
10
10
01
10
00
01
00
10
11
00
10
10
00
00
00
01
10
11
00
10
10
11
00
00
10
10
10
00
00
00
00
10
00
00
00
01
01
10
01
11
00
00
00
11
11
00
11
10
10
00
00
10
11
10
01
00
10
10
01
00
01
00
11
10
10
00
11
10
01
10
00
01
00
10
01
11
11
10
00
01
00
11
11
00
01
01
10
00
10
11
00
11
00
11
10
00
01
10
10
11
00
00
01
00
11
10
01
10
00
01
10
00
10
00
00
00
01
10
10
01
10
11
10
00
00
01
00
11
10
00
11
10
10
10
00
10
00
00
00
00
00
10
00
00
00
10
11
00
00
00
00
11
10
00
10
00
11
10
00
01
01
11
00
11
11
00
00
00
00
00
10
11
10
10
00
11
01
11
10
11
10
11
10
00
01
11
11
01
10
10
11
10
00
01
10
11
01
10
01
10
11
00
01
10
11
10
00
01
11
01
10
00
01
01
11
00
01
00
10
10
01
10
10
01
00
10
11
10
10
10
10
10
11
00
00
10
11
01
00
10
01
00
10
00
10
00
00
00
01
10
10
10
10
10
01
00
10
00
00
10
10
10
00
00
00
00
10
10
00
10
11
10
00
00
00
00
01
00
11
11
00
10
00
01
10
01
01
10
10
01
00
11
11
00
11
11
00
11
00
01
00
10
11
01
00
10
00
00
00
00
01
00
00
10
01
00
11
10
10
01
10
01
10
01
00
10
11
10
01
00
01
10
00
10
10
01
01
01
10
00
10
10
10
10
00
01
00
10
10
11
00
10
11
00
00
10
10
01
00
10
00
00
00
00
11
00
10
10
11
10
01
01
10
01
10
10
00
01
10
10
00
00
10
01
00
10
00
01
10
11
10
00
00
10
00
10
10
00
11
10
01
10
00
11
00
11
10
11
10
11
10
01
11
00
00
10
11
01
11
10
00
10
10
01
00
00
10
01
10
00
10
11
01
00
10
10
10
10
00
10
00
00
00
10
10
10
01
00
00
00
10
00
10
00
10
11
10
10
01
01
10
00
01
01
00
10
10
10
00
10
10
10
00
10
10
11
01
00
11
01
10
00
00
00
11
10
00
00
10
01
10
11
00
11
11
11
00
00
11
10
10
00
00
10
11
01
01
00
01
11
00
10
11
00
10
11
00
11
10
11
00
01
11
10
10
00
00
11
00
00
10
11
00
10
11
00
00
00
00
10
10
01
10
00
00
10
11
10
00
00
11
11
00
11
10
00
00
10
00
00
00
10
10
00
11
11
01
00
10
10
00
00
01
11
11
01
00
01
11
11
00
00
10
10
00
01
10
01
11
11
00
00
11
00
11
10
00
00
10
10
00
01
10
00
00
01
00
10
10
00
10
00
10
10
01
10
10
00
01
10
11
00
00
01
11
01
10
11
00
01
01
10
11
01
01
10
00
00
00
10
10
11
11
00
00
00
11
00
00
10
10
11
11
00
01
00
00
10
10
10
01
00
00
10
11
10
11
00
11
10
01
10
00
10
11
01
00
00
10
11
11
01
00
10
00
10
00
00
00
00
10
00
00
10
10
11
10
01
01
10
11
10
00
00
10
10
00
01
00
11
00
10
00
10
11
00
10
00
11
00
10
10
10
00
01
00
10
10
11
10
00
10
00
11
00
11
10
00
00
10
01
00
00
10
10
10
10
10
00
00
10
00
01
10
10
01
10
11
10
00
00
10
00
11
10
01
00
11
11
01
00
10
10
01
10
00
01
11
01
11
01
00
11
10
11
00
00
00
00
10
10
00
10
00
00
10
11
00
01
10
00
01
11
11
00
11
10
00
10
01
01
00
10
10
10
10
10
00
00
11
10
01
00
10
11
10
00
00
00
10
10
01
01
10
11
10
10
10
01
10
11
10
01
00
10
10
01
00
01
11
10
10
00
01
01
00
11
10
11
11
10
10
00
11
10
00
00
10
01
10
00
01
10
11
10
01
00
10
11
10
01
00
00
10
00
01
00
10
10
00
01
10
01
10
10
01
11
00
00
00
10
10
01
00
00
00
00
11
00
01
10
10
00
00
10
10
00
01
00
01
11
11
00
00
10
10
11
00
11
11
10
01
10
10
00
11
00
10
11
00
11
10
00
00
01
10
11
10
01
00
10
10
11
10
01
01
10
00
01
11
11
00
01
01
10
00
10
11
01
01
11
10
10
00
11
10
00
00
11
00
00
11
10
01
00
10
10
10
00
10
10
01
10
01
00
10
10
00
00
00
11
10
10
00
00
01
11
01
10
01
00
10
00
00
00
10
10
10
00
01
00
10
01
01
10
11
10
11
10
11
00
01
00
11
10
01
00
10
10
00
10
10
10
00
00
10
10
00
00
10
11
00
11
11
10
01
00
10
10
11
00
00
11
10
01
01
00
11
10
10
00
00
11
10
11
00
10
01
00
10
10
01
00
01
00
10
00
10
00
00
10
00
10
00
00
00
10
01
10
00
00
11
10
00
01
01
00
10
00
11
00
00
11
11
11
00
00
10
10
01
10
01
00
00
10
00
10
10
10
10
01
00
00
01
00
00
00
00
00
10
11
00
00
00
11
10
01
00
10
11
01
01
11
10
01
00
10
10
10
00
01
01
11
10
00
01
10
10
00
10
11
00
01
00
00
10
10
11
00
00
10
11
01
10
10
10
10
00
00
00
00
11
10
00
11
10
01
10
10
00
01
11
10
11
01
01
00
00
00
10
11
00
11
10
00
01
10
00
01
10
11
00
00
10
11
00
10
00
01
00
10
00
10
00
01
00
00
00
11
00
00
00
11
10
11
00
00
10
11
10
01
11
11
11
10
10
11
10
01
00
01
01
11
11
10
10
00
01
11
01
00
00
00
11
10
10
10
00
00
10
00
10
10
10
10
10
10
00
00
10
00
00
10
10
01
11
00
10
10
01
10
10
10
10
00
00
01
01
10
10
10
01
00
00
00
10
00
00
00
10
11
11
00
11
00
10
10
00
00
10
00
00
00
10
11
01
01
00
10
11
00
10
10
11
10
11
10
11
10
00
00
10
10
10
00
10
00
11
11
11
00
00
01
00
00
01
01
10
10
11
00
01
10
10
10
00
00
00
11
11
01
00
00
10
10
11
01
00
10
00
10
10
11
00
10
10
10
10
00
10
10
11
00
00
10
10
00
00
00
00
10
10
00
01
00
11
10
01
10
10
00
00
01
10
00
01
10
11
00
00
10
10
01
01
10
10
10
00
00
01
01
10
00
00
00
00
00
10
11
10
00
10
01
00
11
01
01
11
10
10
11
00
00
10
10
00
00
00
10
00
00
11
11
00
00
10
10
00
10
10
00
10
00
10
10
11
00
10
10
10
10
10
01
10
11
00
00
01
10
00
00
10
10
11
10
01
00
10
00
00
01
11
10
00
00
11
00
11
01
01
11
01
10
10
00
01
10
00
00
10
10
00
11
10
01
10
11
00
00
00
00
10
10
00
11
00
11
11
11
10
00
00
00
10
01
00
11
00
10
01
00
01
10
10
01
11
01
10
10
11
11
00
01
00
10
01
10
10
11
11
01
10
11
01
10
00
00
00
00
01
10
10
00
00
01
01
10
10
11
00
01
01
01
10
00
01
11
01
01
01
11
10
00
10
01
01
10
10
11
10
10
11
10
00
00
00
01
00
00
10
10
10
11
01
00
00
10
10
00
00
10
10
00
10
10
01
00
00
11
10
00
00
10
00
10
00
10
11
00
00
10
01
00
00
01
11
11
00
01
00
01
00
10
10
10
10
00
11
00
11
00
00
00
00
10
10
11
10
00
10
00
10
10
01
00
10
01
00
10
01
00
01
01
10
11
00
11
01
00
10
11
10
00
10
11
00
00
11
00
11
10
11
01
00
10
01
00
01
10
10
00
00
10
10
01
01
00
10
01
00
01
00
10
10
00
01
00
11
10
10
00
11
00
00
10
10
00
11
10
01
00
11
10
11
11
01
00
10
01
00
11
10
10
11
11
00
01
10
11
00
00
00
00
10
10
10
11
11
00
10
00
00
01
00
10
10
00
00
11
00
01
11
11
00
00
11
11
00
00
11
11
00
00
00
10
01
01
10
11
01
00
01
00
10
10
00
01
10
00
10
10
00
10
01
10
00
00
10
00
10
11
01
11
11
01
01
10
01
11
11
11
01
10
00
11
10
00
01
10
10
00
10
00
10
11
00
00
10
01
00
00
00
01
11
10
01
01
11
10
11
00
00
10
11
10
10
01
00
10
10
00
00
00
11
11
10
00
10
10
00
01
10
10
00
11
01
11
10
11
00
00
10
00
11
10
01
00
10
10
00
00
10
11
01
00
10
00
00
00
00
11
10
01
10
10
10
10
10
10
10
01
00
00
10
11
10
10
10
01
10
10
00
00
01
11
10
00
00
01
00
11
10
01
11
11
01
10
10
00
00
01
01
10
11
00
10
11
00
00
10
11
01
01
00
10
01
00
10
10
00
00
01
11
10
00
00
11
10
10
10
10
10
00
01
00
01
00
10
10
10
11
00
01
10
11
01
00
00
10
10
00
00
10
10
10
11
00
00
11
11
10
00
10
11
00
01
00
00
10
11
11
10
11
01
01
10
11
11
00
10
10
00
00
01
00
11
10
01
00
00
00
00
01
00
10
11
00
00
00
10
01
11
11
00
10
10
11
11
01
01
10
11
10
10
00
01
01
10
10
01
10
10
00
00
01
00
11
01
10
11
00
10
11
10
00
10
10
01
00
10
10
10
00
01
00
00
11
11
00
10
00
10
10
01
01
00
10
01
11
10
10
00
11
01
01
10
00
11
10
00
00
11
10
01
01
11
01
00
10
10
00
01
10
10
00
00
00
01
11
11
00
00
10
01
01
10
00
00
01
00
01
01
10
10
10
01
11
00
00
00
00
11
00
00
01
01
00
11
10
10
01
00
00
00
10
11
11
00
00
00
10
10
01
00
00
11
10
01
10
01
00
10
10
00
10
11
10
10
10
00
10
01
00
01
01
11
10
10
10
11
10
00
00
11
00
00
00
11
00
00
11
10
10
00
00
00
01
10
11
00
00
11
11
00
00
10
01
00
00
01
10
10
01
01
10
10
11
00
00
10
10
00
00
01
00
11
10
00
10
10
10
00
10
10
01
00
10
00
00
01
01
00
00
01
10
00
10
10
10
00
10
11
00
11
00
10
00
01
00
10
00
00
00
01
10
11
11
10
10
00
00
00
00
10
00
11
00
00
00
00
10
10
10
10
10
01
10
01
00
10
01
00
01
11
00
00
10
11
10
00
00
00
10
10
00
11
11
10
10
10
00
10
10
00
00
00
00
10
01
00
10
10
00
00
00
01
00
10
00
00
01
11
10
00
11
10
10
00
11
10
11
10
01
10
11
11
00
01
11
00
00
10
11
01
01
00
00
00
10
11
01
10
10
11
01
00
10
00
00
10
00
00
11
10
10
00
11
11
00
10
10
10
11
00
01
10
11
11
10
00
00
11
11
10
00
00
01
00
11
00
10
10
01
11
10
01
00
01
10
10
10
10
00
01
01
10
10
00
00
10
10
01
10
01
00
01
01
11
01
10
10
00
10
11
11
00
00
10
01
11
01
10
11
10
10
01
00
01
01
00
01
00
10
11
01
00
11
01
01
00
10
10
11
11
01
00
10
00
10
10
00
00
10
00
00
11
11
11
10
10
10
10
00
00
10
10
00
00
00
00
10
00
11
10
10
10
00
01
00
00
11
11
10
11
01
01
10
10
10
00
00
10
01
00
11
11
10
00
00
10
01
11
10
10
10
10
00
10
00
00
10
00
10
01
10
00
01
00
10
10
01
00
01
01
01
10
10
10
01
00
00
10
11
00
00
01
00
01
11
01
10
01
10
10
00
00
10
10
10
00
10
00
01
00
11
00
00
10
01
10
11
11
00
00
10
00
01
00
10
10
01
10
10
01
10
10
00
11
10
00
10
11
01
01
11
10
11
00
00
00
00
10
11
00
00
01
00
00
11
11
00
00
10
01
01
11
10
11
01
00
10
10
01
00
10
11
00
10
01
10
01
10
11
10
11
00
11
10
01
11
10
01
00
10
10
10
01
10
00
01
00
10
00
10
10
00
01
00
10
11
00
00
01
00
11
00
10
11
11
10
00
01
10
01
00
11
00
00
10
10
00
10
10
00
01
11
00
10
10
00
00
10
11
01
00
10
10
10
10
00
00
01
10
11
10
10
01
00
11
10
00
01
10
11
00
01
00
00
00
11
10
00
10
10
11
10
00
01
10
11
01
11
01
10
10
00
10
10
11
01
01
01
10
10
01
11
10
11
00
01
11
10
00
10
01
00
00
10
01
01
00
01
11
11
00
11
10
00
00
11
10
00
00
10
10
10
10
00
00
01
00
10
00
00
10
10
11
00
10
00
01
01
00
00
10
10
10
00
10
01
00
10
01
11
00
01
01
11
10
00
01
01
10
00
11
01
00
11
11
10
01
01
10
11
00
00
10
11
00
10
10
10
11
00
10
11
11
00
01
01
00
01
10
01
00
10
01
00
00
11
00
00
00
11
10
10
10
10
10
00
00
00
10
00
10
10
10
00
00
11
10
11
01
11
10
00
00
10
10
10
10
00
11
00
00
10
10
11
10
01
11
00
10
00
00
11
10
00
00
01
10
00
10
10
10
00
01
11
00
10
10
00
00
10
11
00
00
10
10
01
10
00
11
00
00
00
10
10
00
10
10
10
01
00
00
01
11
00
10
11
00
01
10
00
01
01
00
11
00
00
10
01
10
11
11
01
11
11
10
00
10
10
01
11
10
01
10
01
11
00
00
00
10
00
10
11
10
00
00
01
00
00
00
11
01
00
00
10
00
01
00
00
10
11
11
00
00
10
11
00
00
10
10
11
00
00
00
10
00
10
01
00
01
10
10
00
00
10
11
00
00
01
00
01
10
10
01
10
10
01
00
11
00
11
10
00
00
00
10
11
01
00
11
10
01
01
11
11
10
00
01
00
11
10
00
11
00
10
10
00
01
01
00
11
10
10
00
01
10
00
01
00
01
00
10
11
10
00
00
00
11
00
10
10
10
00
01
11
10
00
00
00
01
10
11
11
10
01
11
10
11
00
10
00
01
00
10
11
00
01
10
00
01
10
00
00
11
10
10
00
00
01
10
10
10
10
00
00
01
10
10
01
11
00
00
01
11
01
00
10
00
01
10
01
11
11
00
00
11
10
10
00
11
11
10
10
00
10
00
10
11
00
10
11
00
00
10
01
00
10
00
00
10
01
10
00
10
10
00
00
11
10
10
11
01
01
01
00
10
10
00
11
10
01
00
00
11
10
10
00
10
10
10
00
01
01
00
00
00
01
00
11
10
00
00
01
00
10
10
00
00
10
11
10
11
11
00
01
00
11
10
00
00
00
00
10
01
10
10
01
00
00
00
10
10
10
00
01
01
10
01
00
01
00
00
11
00
00
11
10
01
11
01
01
01
11
11
11
00
01
10
10
10
01
00
11
10
00
11
00
10
00
10
11
00
11
10
00
01
10
01
01
01
10
10
00
01
00
10
10
10
01
11
10
10
00
01
10
10
01
10
11
01
00
00
11
10
00
01
10
10
10
00
00
01
10
10
11
00
01
10
10
01
10
10
00
00
10
10
10
11
11
00
00
01
00
01
01
00
10
00
01
11
10
01
00
10
00
00
10
11
10
01
01
11
10
00
10
01
00
00
00
11
00
10
10
11
01
00
01
01
00
00
00
10
10
00
01
11
10
11
10
11
00
11
00
10
10
00
01
10
10
00
10
01
01
00
01
01
10
00
01
00
00
11
10
10
00
01
11
11
00
01
01
10
11
01
00
10
00
01
11
10
01
00
00
10
01
00
10
10
00
10
00
11
10
01
10
00
01
10
00
00
10
10
10
01
00
11
10
10
10
11
01
00
00
10
11
00
00
10
10
11
01
10
01
10
10
01
10
10
10
00
01
11
00
10
00
01
11
00
00
00
00
10
00
01
10
10
01
00
01
11
00
00
10
10
11
11
00
11
10
11
10
00
00
10
00
10
01
00
00
01
10
00
10
11
10
01
00
00
00
11
00
11
10
00
00
10
11
10
01
00
10
10
10
00
01
00
00
10
10
10
01
00
00
11
00
10
00
00
10
01
10
01
10
10
01
10
00
10
00
00
10
00
10
00
10
01
10
10
10
01
00
10
10
10
11
10
11
01
00
00
00
10
10
10
10
01
01
01
10
00
10
10
01
00
11
11
11
11
11
00
01
01
11
00
10
10
00
11
10
10
01
11
00
10
10
01
01
00
11
01
00
00
00
01
10
00
00
10
11
00
10
10
11
00
10
10
01
00
01
00
00
00
10
11
00
01
11
10
11
10
11
10
10
00
10
11
11
11
00
00
00
10
10
10
00
00
00
00
01
01
01
11
10
11
01
11
10
00
00
10
00
01
10
10
00
00
00
00
00
00
00
00
00
00
11
10
10
11
10
10
10
11
00
00
11
00
01
00
00
11
10
11
01
00
11
10
11
10
00
00
01
10
00
10
10
10
10
00
00
11
00
00
10
01
01
10
00
01
11
00
00
10
00
10
00
01
11
10
00
00
00
10
00
00
01
10
10
00
10
00
01
10
11
10
11
01
00
10
10
00
11
01
00
00
11
11
01
00
10
10
10
01
00
00
10
00
00
10
00
01
00
10
00
00
10
11
10
10
11
10
00
00
00
10
10
00
00
01
00
10
00
00
01
10
01
01
10
11
11
10
00
01
10
11
00
00
00
01
01
10
11
00
10
00
00
00
11
10
10
10
10
10
10
11
00
11
10
10
01
11
11
01
10
01
00
10
10
00
00
00
10
10
00
11
00
10
10
10
00
11
10
00
00
10
10
10
00
00
11
11
10
11
10
00
01
10
00
10
01
00
01
10
10
00
10
00
00
10
10
00
00
11
00
00
00
00
00
00
10
00
01
10
11
11
10
00
00
10
10
00
10
10
00
10
00
00
01
01
00
00
10
11
00
01
01
10
10
11
10
10
10
00
11
00
10
00
00
10
10
00
11
00
10
00
10
10
01
00
10
10
01
00
10
01
11
00
01
10
10
10
10
11
11
00
00
01
10
10
00
10
00
11
10
10
00
11
01
11
01
01
00
10
10
00
01
00
10
10
00
11
00
10
10
11
00
11
10
00
10
10
10
00
00
01
00
01
11
00
00
10
00
10
01
10
10
10
00
10
00
00
01
01
10
00
01
00
11
00
01
10
01
11
10
10
00
00
10
11
01
00
00
00
10
10
10
00
01
11
00
10
10
11
00
11
10
01
00
00
01
00
11
10
10
00
01
10
00
10
11
10
01
01
00
10
11
01
01
00
10
10
11
01
00
00
10
00
10
11
10
10
00
00
01
00
00
11
10
00
10
01
00
00
11
00
10
10
00
11
10
00
10
11
11
11
00
00
11
00
01
00
01
11
10
00
10
10
00
10
10
00
01
01
11
11
00
10
11
01
10
11
00
01
00
01
00
00
11
10
10
00
10
10
11
00
01
00
01
10
10
11
00
11
10
11
00
11
01
00
00
10
11
00
01
10
11
01
11
00
01
11
10
10
00
00
10
10
00
01
00
10
10
01
00
11
10
00
11
11
00
01
10
10
00
10
11
01
00
10
01
01
10
00
00
11
10
01
00
11
11
00
11
00
10
10
10
00
01
11
10
10
10
00
01
10
11
00
00
11
01
00
10
00
00
10
01
10
10
00
10
10
00
10
01
00
00
10
10
00
00
11
10
00
00
00
11
00
01
11
00
00
01
10
10
00
10
01
11
01
00
01
10
10
10
00
10
11
00
00
10
10
10
10
00
01
01
10
10
00
11
11
11
00
01
00
00
01
00
01
10
00
00
10
11
00
11
10
10
00
00
00
00
10
10
01
10
10
10
00
11
00
00
11
10
01
00
10
10
01
01
11
11
01
00
11
00
00
11
10
10
00
00
10
01
00
10
10
00
01
10
10
01
10
00
11
10
00
00
00
10
10
11
11
00
00
00
01
01
01
10
11
10
10
10
10
00
00
01
10
10
00
01
10
10
01
00
01
11
00
01
00
11
11
10
11
11
10
00
00
11
10
00
00
10
10
00
00
00
00
01
10
01
00
00
01
10
00
10
10
00
10
11
01
00
11
11
10
10
10
10
01
10
00
01
11
11
11
10
01
10
10
10
00
01
10
11
11
11
01
10
10
00
10
10
10
00
00
00
10
10
00
11
00
10
10
10
00
10
10
10
00
01
10
01
10
10
00
11
01
01
10
00
10
01
01
01
10
10
10
10
00
00
10
10
10
11
00
00
01
10
11
01
00
00
10
10
10
01
10
01
01
01
01
11
10
01
11
10
00
10
10
00
00
10
10
10
00
01
11
01
01
11
10
01
11
11
00
00
11
11
00
01
10
10
10
01
11
00
00
10
00
11
01
00
01
01
00
01
00
00
10
10
01
11
01
10
11
10
10
01
00
00
10
00
00
00
10
10
10
11
00
11
00
01
00
00
10
11
10
00
00
10
10
00
01
00
00
00
10
11
11
10
00
00
10
10
11
11
11
01
10
00
11
10
01
00
10
11
10
00
10
01
10
10
00
00
00
11
00
00
10
10
01
11
10
00
01
10
01
00
10
10
10
10
10
11
00
11
10
10
00
11
01
00
00
00
00
11
01
10
11
10
10
11
10
11
01
10
00
00
10
00
00
10
00
10
10
00
01
10
11
00
10
01
00
01
00
11
10
00
11
11
00
01
10
00
10
00
11
00
00
10
00
10
10
01
11
01
00
01
00
00
10
10
01
10
10
00
10
00
10
11
10
10
00
11
10
00
00
00
11
00
01
10
10
10
01
00
01
01
00
01
10
10
00
00
10
01
00
10
00
01
10
10
00
10
00
10
00
10
01
00
11
01
01
01
00
01
01
01
11
10
10
01
00
10
10
01
11
10
11
10
01
00
11
01
00
00
11
10
00
00
00
10
10
01
00
00
10
00
10
11
10
01
10
11
01
00
11
11
10
10
11
01
00
01
10
00
00
00
11
10
01
11
00
00
10
01
00
11
00
11
10
00
10
11
10
00
10
11
00
00
10
11
11
00
00
11
00
10
01
11
01
00
10
00
11
00
10
10
01
00
11
00
10
11
10
00
01
10
11
10
10
00
01
11
11
10
00
01
00
00
00
11
10
00
00
00
00
10
10
01
01
00
00
00
01
00
00
10
10
00
10
00
00
00
10
01
00
11
10
00
11
10
00
00
10
10
11
10
00
00
10
10
00
00
00
00
10
01
10
10
01
00
10
01
00
00
10
01
10
10
11
10
00
00
00
01
00
00
00
10
01
01
01
10
00
11
01
00
00
00
10
11
00
00
10
11
00
01
00
00
00
11
10
11
00
00
01
10
01
00
00
11
11
00
00
10
11
11
00
00
11
00
10
10
00
11
00
01
10
10
01
11
10
01
00
11
01
11
10
00
00
10
10
00
01
00
01
11
11
10
00
10
01
11
00
00
10
10
00
00
10
10
10
01
10
00
00
11
00
11
00
10
10
11
00
00
10
10
10
00
00
00
10
00
00
10
10
00
10
00
10
10
00
10
00
10
10
01
10
00
01
11
11
00
11
01
00
11
00
01
10
01
00
10
00
00
10
10
10
00
00
11
00
00
00
00
11
00
11
00
11
11
10
00
00
01
10
10
00
11
10
10
10
10
10
11
00
11
10
10
01
00
01
00
01
11
00
11
00
10
10
10
00
11
00
01
00
00
00
00
00
00
11
10
00
00
10
11
10
00
00
10
10
00
00
01
00
10
00
10
00
00
01
10
11
00
00
10
10
10
11
00
01
11
10
10
01
00
10
10
00
01
01
10
11
01
00
00
10
11
00
00
10
01
00
01
10
10
11
10
01
00
11
11
11
00
00
01
10
00
10
01
00
01
10
00
00
00
10
00
10
00
01
10
00
10
01
10
10
00
11
00
10
11
10
11
11
00
00
01
00
11
00
00
10
10
00
01
00
11
11
01
00
00
10
00
11
10
00
01
11
10
11
00
00
01
11
11
10
10
01
11
10
01
10
10
00
01
10
11
10
00
00
11
00
00
01
10
10
11
01
01
01
10
10
11
00
00
10
00
00
10
00
01
00
10
01
10
01
10
10
10
00
00
10
00
00
01
10
00
01
00
10
00
00
11
11
01
01
00
11
11
01
11
10
00
00
01
10
10
00
11
10
00
10
00
10
10
10
01
11
00
00
10
01
10
01
00
11
11
00
10
11
11
01
10
00
00
10
10
00
11
11
10
11
01
10
00
00
11
10
11
01
11
10
00
10
01
00
01
10
11
01
01
10
00
10
00
00
10
01
00
10
11
10
01
00
01
10
10
01
10
11
00
10
10
00
00
10
11
00
01
00
10
10
10
10
00
00
10
10
00
10
10
11
10
10
00
00
00
00
10
11
10
01
00
01
00
11
10
11
01
00
10
10
10
01
01
10
10
00
01
10
01
11
01
00
10
10
00
00
10
11
00
01
10
01
01
00
10
10
10
10
10
00
11
11
00
10
00
00
10
11
11
00
00
11
01
01
01
10
01
10
00
10
10
10
00
00
10
11
10
00
00
01
10
10
00
00
01
00
00
11
00
10
10
01
11
11
10
10
00
00
10
01
10
10
11
00
11
01
01
00
00
10
10
10
00
00
10
00
10
00
11
10
00
10
00
10
10
01
10
01
10
01
00
11
00
11
11
00
11
10
00
01
01
10
10
00
00
00
00
10
10
00
10
10
00
10
00
00
01
10
10
01
01
00
00
10
10
11
00
10
11
10
00
11
00
01
11
00
11
01
00
01
00
11
10
10
01
01
01
10
00
00
00
10
10
00
00
00
10
11
10
00
10
11
10
00
10
10
01
00
11
11
10
11
00
00
01
00
10
11
00
00
11
01
01
10
00
11
11
01
01
10
11
10
00
00
00
10
10
10
11
10
11
11
01
01
01
00
10
10
00
01
10
10
00
00
11
11
00
00
10
11
10
10
01
00
10
11
00
01
11
01
11
11
00
00
10
11
10
00
00
11
01
01
10
00
10
01
11
00
00
10
10
00
11
01
00
10
10
10
10
10
10
01
10
11
00
10
10
01
10
10
01
01
10
01
00
11
10
00
10
11
10
00
00
10
00
11
01
00
00
00
00
00
11
00
00
01
11
11
00
10
00
00
10
00
11
10
11
00
01
10
11
10
11
00
01
11
11
10
00
10
10
00
00
01
10
10
00
10
00
00
10
00
10
10
11
11
01
11
01
11
00
00
01
11
10
00
01
10
10
10
10
00
10
11
01
10
00
01
00
10
10
00
00
10
10
00
00
11
01
10
10
10
10
10
01
00
11
11
01
00
10
00
01
11
00
10
11
10
01
00
00
10
00
10
10
00
00
10
10
01
10
01
11
10
01
00
01
01
10
00
01
10
11
10
11
00
10
10
10
01
01
10
01
00
00
00
01
00
00
01
11
01
10
01
00
11
00
10
01
00
10
11
10
00
10
00
00
10
00
10
01
10
00
00
10
11
00
10
10
10
01
11
00
01
10
10
10
00
10
11
11
00
10
11
00
11
10
00
10
10
00
00
10
11
00
10
00
01
00
10
01
10
10
11
01
10
11
11
10
10
01
00
01
00
10
10
00
10
10
11
00
10
00
01
11
01
11
11
00
00
11
00
00
01
11
11
10
01
00
00
10
10
00
00
00
00
01
11
01
01
10
00
11
10
00
10
10
01
00
01
11
01
00
11
11
00
00
01
00
11
11
11
10
00
10
11
10
00
01
11
10
01
01
11
10
00
00
00
00
10
10
01
10
11
00
00
00
00
00
11
00
00
00
10
11
11
01
00
00
11
01
11
10
00
00
01
00
11
11
00
00
00
11
00
11
11
00
01
10
10
00
00
11
10
00
00
00
11
00
10
10
01
00
01
00
11
10
10
01
11
10
00
00
00
00
00
11
11
00
10
10
10
11
00
00
11
10
00
01
10
01
00
11
00
10
01
00
10
11
10
00
00
11
10
00
10
10
01
00
11
10
00
10
00
00
00
00
11
11
00
00
00
10
01
01
00
11
00
10
10
10
01
00
11
10
11
10
00
10
00
01
10
11
10
11
10
01
00
10
11
00
11
10
11
01
00
10
00
10
00
01
10
11
00
10
00
01
10
01
10
10
10
10
01
00
11
11
11
01
10
01
01
11
10
00
00
10
00
01
10
10
00
10
00
10
10
10
01
00
00
10
01
11
00
01
10
10
10
00
11
10
00
00
01
10
10
00
01
01
01
10
00
11
10
00
00
00
11
10
11
10
01
11
10
01
00
10
10
10
00
00
10
11
10
11
11
01
00
10
10
00
00
11
00
00
10
00
10
01
01
11
11
00
10
00
11
00
01
10
10
10
01
01
00
00
00
00
10
11
10
00
10
00
10
00
00
10
11
10
10
00
10
10
01
00
01
11
11
00
11
10
11
10
00
11
11
01
00
00
01
10
11
00
10
10
10
01
10
11
00
01
10
10
01
00
11
10
11
10
11
10
01
01
10
10
00
01
11
10
10
11
00
00
00
11
00
10
11
10
00
00
10
10
00
10
10
10
01
11
10
11
10
01
00
00
10
01
00
10
01
00
10
10
01
10
10
00
11
00
10
00
10
01
10
01
01
01
01
10
11
11
11
00
00
10
10
00
00
10
11
00
01
00
00
00
00
10
10
10
00
01
11
00
00
00
11
11
00
10
11
01
00
11
01
00
00
00
10
00
00
00
10
11
00
00
10
00
10
00
10
10
10
10
00
00
10
11
00
10
00
10
11
01
11
11
00
00
10
10
01
00
10
10
00
00
00
11
11
10
00
01
01
00
00
10
10
01
10
01
00
11
00
00
10
11
00
00
00
11
10
00
00
10
00
00
10
11
00
00
00
00
10
10
00
10
00
00
11
01
00
11
11
11
10
00
01
00
10
10
10
00
00
01
01
10
00
01
10
10
00
10
11
10
00
00
01
01
00
10
10
10
11
10
10
01
00
10
00
10
10
01
10
01
00
01
10
10
10
00
11
10
01
00
10
01
00
00
10
00
00
11
00
00
10
11
00
11
01
10
00
10
00
11
11
01
11
10
00
00
11
10
11
01
01
01
10
00
11
00
01
01
10
10
00
11
01
01
00
11
10
01
11
11
10
00
10
00
11
00
01
11
00
10
00
10
10
10
01
00
01
10
10
10
10
10
00
10
10
01
10
00
01
10
00
00
11
00
10
10
01
01
11
11
00
00
11
00
01
10
10
11
00
10
10
10
00
10
10
10
00
00
10
10
10
01
11
00
00
00
00
00
00
11
10
00
00
10
01
00
01
11
00
11
10
00
10
00
00
10
00
01
11
11
10
01
10
00
10
10
10
00
00
10
00
10
00
00
00
00
11
10
10
10
10
10
00
00
00
00
01
00
00
10
00
01
00
11
01
11
10
01
00
11
10
01
00
10
10
11
00
11
00
01
10
10
00
00
01
10
11
00
11
10
11
01
10
11
00
10
10
01
00
11
11
10
10
00
01
00
11
10
10
00
00
10
00
10
01
10
10
10
00
00
10
01
10
10
01
00
01
11
01
10
10
00
01
10
10
11
00
11
00
00
10
01
01
00
10
11
01
10
10
01
00
11
01
10
00
01
01
11
01
01
00
10
10
01
10
10
01
11
11
10
10
00
00
01
00
10
10
11
01
10
10
11
11
10
10
00
00
00
00
00
00
11
10
10
10
00
01
10
11
11
11
00
10
10
10
10
00
00
00
00
01
11
00
00
11
10
00
10
11
00
00
00
10
01
00
00
11
00
11
00
10
10
10
11
01
10
10
10
01
10
01
00
10
01
00
01
10
10
00
01
11
11
10
11
10
00
01
01
10
10
01
00
11
01
00
00
10
11
00
00
10
00
00
11
10
11
10
00
10
00
00
00
10
10
01
10
11
10
00
00
01
10
11
00
00
11
00
10
10
00
01
10
01
11
10
01
10
00
10
11
00
10
00
00
10
01
00
00
00
10
10
00
00
10
10
00
10
10
00
01
01
10
10
00
10
00
00
00
10
11
01
01
00
11
00
01
00
01
10
10
10
00
00
11
01
10
10
00
01
11
10
01
11
00
01
11
10
00
00
10
01
00
10
10
00
10
10
11
11
00
10
10
11
01
01
00
10
10
01
00
00
10
10
00
01
11
01
01
10
01
10
01
10
10
00
00
01
10
01
11
11
00
00
00
00
10
10
11
01
11
00
00
10
01
10
11
01
01
11
11
10
01
11
11
11
01
00
11
11
00
00
00
10
10
00
00
10
11
00
00
10
00
10
00
11
00
11
00
00
01
10
10
10
11
00
10
01
01
10
10
11
00
00
10
10
01
00
10
10
10
01
00
01
10
11
10
10
01
00
11
10
01
00
00
10
10
00
00
10
11
00
11
10
10
10
10
01
00
00
01
11
00
10
00
00
00
10
11
01
11
00
10
10
10
01
01
10
10
01
00
10
10
00
01
10
10
01
00
01
10
10
00
00
00
10
10
00
10
00
11
10
10
01
10
01
10
11
00
00
10
11
01
00
10
10
01
10
11
00
01
10
00
00
00
00
10
00
00
00
11
10
10
00
01
00
10
00
10
10
01
10
00
11
10
00
10
11
00
01
11
11
01
10
10
00
01
00
10
10
00
00
10
10
00
00
10
10
11
00
11
01
11
00
01
00
10
11
01
10
10
00
00
01
00
10
00
10
00
00
00
10
10
01
10
00
00
00
00
01
11
11
01
10
10
11
11
11
00
00
10
11
00
10
11
00
01
00
11
10
11
01
00
01
10
01
10
00
00
10
10
01
10
10
01
01
00
11
11
10
00
00
00
00
01
11
10
00
10
10
10
10
10
11
10
10
11
00
10
11
00
10
10
01
00
10
10
00
01
11
10
00
01
10
10
00
10
10
01
00
10
10
11
10
00
00
01
11
00
00
10
10
01
11
00
10
01
00
10
11
11
01
01
10
10
10
10
10
00
01
10
10
01
10
10
10
00
10
00
00
10
01
01
00
11
00
10
01
00
11
00
01
10
00
00
10
10
10
10
00
00
11
00
00
11
00
01
00
01
00
00
10
10
10
01
11
10
11
00
01
11
11
00
01
10
11
10
01
00
10
00
00
10
11
10
00
11
01
00
00
00
10
01
10
10
10
00
10
00
10
00
00
10
01
00
11
10
00
10
10
00
01
00
10
00
00
10
00
10
01
11
10
11
00
00
00
10
01
10
01
00
01
10
00
10
10
01
00
01
01
11
10
11
11
10
00
00
10
11
00
00
00
00
10
01
10
10
00
10
00
10
11
10
00
01
10
10
00
11
11
01
00
00
00
10
10
00
01
10
00
10
00
00
00
11
10
11
00
11
01
00
00
11
10
00
10
01
11
11
00
10
00
01
01
11
10
00
11
10
01
00
11
11
10
00
00
10
00
10
10
00
10
10
10
01
01
00
10
10
01
11
00
01
00
11
11
10
00
10
00
00
10
10
11
10
00
10
11
01
00
11
00
00
00
11
10
11
00
00
10
00
11
10
00
00
10
10
01
00
00
00
11
10
00
00
10
10
01
10
10
11
01
11
00
11
01
00
01
11
00
00
10
01
00
00
10
11
11
00
00
11
00
01
11
10
01
00
10
10
10
00
00
10
00
10
00
00
00
01
11
01
10
00
10
00
10
00
10
10
10
00
10
01
00
01
00
11
11
10
01
00
10
10
10
00
00
10
11
01
00
00
00
10
11
11
11
01
00
00
10
00
00
10
10
00
01
10
01
00
00
00
00
10
10
00
01
10
00
11
00
10
00
00
01
11
10
11
11
00
01
01
11
00
01
10
11
00
01
00
10
10
00
10
10
00
00
11
00
00
10
10
10
10
10
00
01
01
00
11
01
10
00
00
10
10
10
01
00
00
01
10
11
11
10
00
00
00
10
10
10
01
01
00
01
00
01
10
00
01
10
10
00
00
00
00
10
10
01
00
10
00
10
00
01
11
00
00
11
01
01
01
10
10
11
11
00
00
00
10
11
00
11
10
01
10
10
01
01
01
10
11
10
00
10
00
01
10
11
00
01
00
00
00
10
10
11
11
00
01
01
11
01
00
11
01
11
11
10
00
00
01
01
01
11
10
01
11
11
11
10
11
00
10
10
00
00
00
01
10
00
10
00
01
11
10
11
01
00
00
10
10
01
00
11
00
00
00
01
10
00
01
10
10
10
00
10
10
01
00
11
10
11
00
00
01
11
11
00
01
10
00
01
10
10
10
10
00
00
01
11
11
11
10
01
00
10
00
00
10
01
10
01
00
01
11
00
11
11
10
10
01
00
01
01
00
10
00
01
01
00
10
10
00
01
00
00
10
01
11
01
01
10
10
11
00
01
01
10
10
00
01
01
01
10
10
10
00
10
00
10
00
01
10
10
00
00
10
10
10
01
00
10
00
11
10
00
00
00
00
10
11
00
10
10
10
11
00
00
11
01
00
11
00
01
00
00
10
01
00
11
00
11
00
00
10
00
10
11
00
01
01
10
00
00
00
10
10
00
00
10
11
10
01
00
00
10
00
00
00
00
11
11
00
00
11
00
00
11
00
01
10
00
00
01
11
01
11
11
00
10
00
01
00
11
10
01
00
10
10
10
00
00
00
10
01
11
01
11
10
01
10
10
11
00
10
10
10
10
01
00
10
00
01
00
01
00
00
11
10
00
11
10
00
00
00
10
01
00
00
01
11
10
10
01
00
11
10
11
10
01
00
10
00
00
00
00
00
11
10
10
01
00
00
11
10
00
11
10
10
10
00
10
10
00
10
01
01
01
10
10
01
10
00
00
10
10
00
01
10
10
00
01
11
01
10
10
00
00
00
11
10
00
11
10
01
11
00
00
01
01
10
10
00
01
00
01
11
11
11
00
11
00
00
11
01
01
10
01
10
10
01
10
10
01
00
01
11
10
11
11
00
10
11
00
10
10
00
01
10
00
10
10
10
00
00
10
00
11
10
00
00
10
10
01
00
10
10
00
01
00
00
10
00
00
10
01
00
11
01
00
00
11
00
11
01
10
10
10
10
00
00
11
11
01
01
10
11
01
00
00
00
11
10
01
01
00
10
10
00
10
11
00
00
10
00
10
10
11
00
11
10
00
00
00
00
10
11
01
00
11
10
00
10
00
11
10
00
10
11
00
00
00
10
10
01
00
00
01
10
10
00
10
10
10
00
01
00
01
11
10
10
10
01
00
00
01
11
10
01
10
11
10
01
00
10
01
00
11
10
00
00
01
10
10
11
01
00
01
10
01
00
01
01
11
10
01
10
11
10
00
01
10
10
00
10
10
11
10
00
10
11
01
00
00
10
01
00
10
00
10
10
11
00
00
00
00
10
11
00
00
00
00
00
10
01
10
00
10
10
10
10
01
00
11
11
00
00
01
10
10
01
11
00
01
10
10
01
10
01
00
00
00
01
01
00
10
11
00
11
11
10
11
00
10
01
00
10
11
00
01
00
11
01
11
01
00
10
11
01
00
10
10
01
00
10
00
10
10
11
10
01
00
10
11
00
10
01
10
10
10
00
00
10
10
00
11
00
00
01
10
11
10
00
10
10
01
10
01
10
10
10
11
01
10
00
01
00
00
10
11
01
11
01
11
00
01
10
00
01
01
10
01
00
00
00
11
10
10
10
01
01
00
00
11
00
01
11
01
00
10
11
00
11
10
00
00
00
10
01
11
10
10
10
10
01
01
00
01
01
10
11
10
01
10
01
11
10
01
00
01
10
11
10
00
10
00
00
10
00
01
01
11
00
11
10
11
10
10
00
01
00
10
10
00
00
10
11
11
00
01
00
10
10
10
00
01
00
11
00
00
00
00
10
10
00
00
00
01
01
11
11
00
10
11
10
10
00
00
01
00
11
00
11
11
11
01
11
10
00
00
11
01
01
00
01
00
11
11
11
01
00
10
10
10
00
00
01
00
00
10
01
01
00
00
00
00
00
10
01
10
00
00
00
10
10
00
01
00
10
10
00
10
11
01
00
00
10
00
10
11
11
11
00
00
00
10
00
00
00
00
10
10
10
00
11
01
10
00
00
10
10
11
00
00
10
10
10
00
10
00
11
10
11
10
00
11
00
00
00
11
10
10
00
00
01
10
10
01
00
10
11
10
10
10
11
10
10
00
01
01
10
00
10
00
00
10
00
10
11
10
01
00
10
00
01
10
10
00
01
01
01
01
11
01
11
10
01
10
10
01
10
01
00
11
11
10
01
10
10
10
10
00
00
01
00
11
00
11
00
10
11
11
00
01
00
11
11
10
01
00
11
01
10
00
10
10
00
10
11
00
01
11
00
00
10
11
00
00
00
10
00
00
10
10
10
00
10
11
10
00
10
10
10
01
00
10
00
11
11
10
10
00
11
11
10
00
10
10
01
01
00
00
10
01
10
01
11
10
01
00
00
10
10
01
10
11
11
11
00
01
00
00
00
11
00
10
00
00
10
00
10
10
10
00
01
00
10
00
00
00
00
10
10
01
00
00
00
11
11
10
00
00
00
00
11
10
11
00
01
10
10
11
01
00
10
00
00
10
00
00
00
11
01
10
00
00
11
10
10
10
00
10
10
01
10
11
10
01
00
10
00
10
00
00
10
00
10
00
01
10
10
00
11
11
10
01
10
00
01
00
00
11
10
00
10
00
00
11
11
10
01
00
10
11
00
00
00
11
10
10
10
00
01
01
01
10
10
11
00
01
00
11
10
01
10
00
00
11
10
11
01
00
01
10
01
10
10
01
00
11
11
01
10
00
00
01
00
00
10
10
00
11
00
10
11
10
00
11
01
11
10
00
00
00
10
00
00
10
11
10
10
00
10
00
11
10
00
00
00
00
10
00
10
11
01
10
11
10
11
11
00
00
00
10
10
00
00
10
10
00
10
00
10
01
00
01
00
10
00
11
10
10
00
00
00
10
01
01
10
00
11
11
00
01
10
10
00
11
00
11
11
00
10
10
00
00
01
11
10
01
00
11
00
11
00
11
00
11
10
10
10
00
10
01
11
11
10
01
00
10
10
00
10
11
00
00
10
10
01
00
11
00
10
01
10
00
01
10
10
00
10
10
10
11
11
10
10
01
10
00
01
10
00
10
11
01
00
10
00
10
10
00
10
11
11
01
01
10
11
10
11
01
01
10
11
01
00
00
10
01
00
00
10
10
01
00
11
01
01
00
00
00
00
11
10
10
00
11
01
10
00
00
00
00
10
00
11
00
10
10
00
00
11
10
00
00
10
10
10
01
00
11
11
00
11
00
10
10
10
00
10
11
10
10
11
00
01
00
00
00
10
10
00
11
10
10
00
10
10
10
01
00
00
11
11
00
01
10
10
01
00
10
10
11
00
10
00
01
10
11
10
00
00
10
01
00
00
10
01
00
00
00
10
10
00
11
10
00
00
01
11
00
01
01
10
10
11
00
11
01
01
10
10
10
00
11
00
10
11
10
01
00
10
00
10
11
00
11
11
10
01
10
10
10
11
01
11
10
00
00
10
11
01
01
11
10
10
00
11
10
00
00
10
11
00
10
10
10
00
10
00
00
11
00
00
10
10
10
10
11
00
00
10
11
01
00
11
00
00
10
10
00
00
11
10
10
10
11
00
00
11
10
01
10
11
01
00
01
01
11
00
00
10
00
10
11
10
00
01
11
11
11
00
10
00
01
00
10
10
00
10
10
00
10
10
01
10
10
00
10
10
00
01
00
10
00
01
10
10
00
00
10
00
00
10
00
00
00
00
10
10
00
01
10
10
10
11
00
01
11
10
01
01
10
01
01
10
10
01
10
10
10
01
10
11
00
01
00
00
01
00
11
10
01
10
00
00
01
11
10
00
00
10
00
00
10
11
10
01
11
10
10
10
10
10
01
00
01
01
11
10
01
11
00
10
11
00
00
10
00
10
10
11
10
10
00
00
11
10
01
11
11
00
10
00
11
01
10
10
00
01
10
11
11
01
11
11
00
11
00
00
10
11
00
01
00
10
10
00
11
10
01
11
11
01
11
01
11
00
00
01
10
01
00
10
10
00
00
11
01
00
11
01
10
11
11
01
01
11
11
00
11
10
00
01
10
00
10
10
01
00
11
00
00
10
00
11
00
00
11
10
11
11
01
11
10
01
10
10
00
10
10
01
11
11
10
10
10
00
00
00
01
10
10
10
10
11
11
01
00
00
00
11
01
10
01
00
10
01
10
10
01
01
10
11
10
11
01
00
00
10
01
00
10
10
01
10
00
00
10
10
10
00
11
10
01
01
01
11
00
00
10
10
01
10
00
01
10
10
11
10
00
01
00
11
10
10
01
11
10
00
11
10
11
00
10
10
10
00
00
10
01
10
00
01
10
00
10
11
00
10
10
11
00
10
11
00
10
01
10
11
11
00
00
00
00
11
00
00
10
00
11
00
00
10
01
00
00
10
11
11
00
10
11
01
01
01
10
11
01
01
11
10
01
00
01
10
00
00
11
10
00
11
11
10
00
00
00
10
00
11
00
11
11
01
10
00
00
11
10
01
00
00
10
00
10
10
10
00
00
10
01
10
11
10
10
01
10
00
00
11
10
00
00
10
00
10
00
10
10
01
00
10
00
01
00
10
10
01
10
10
10
11
11
01
00
10
00
10
10
00
00
10
00
01
10
10
10
00
00
00
11
11
10
00
00
10
10
10
00
01
00
10
00
11
00
11
00
10
01
10
00
00
10
01
00
10
00
10
11
10
01
10
11
10
10
10
00
00
10
01
00
01
11
01
00
10
01
01
00
01
10
11
00
10
10
00
00
10
00
00
11
10
00
00
01
11
10
00
00
10
01
00
10
10
00
00
10
01
01
01
11
10
00
00
11
00
01
10
10
00
00
01
10
11
00
11
00
00
00
00
11
10
00
00
11
01
00
10
11
00
01
00
11
01
00
10
01
10
11
00
11
00
10
11
00
00
11
00
00
00
00
11
10
11
01
10
10
01
10
10
00
11
10
01
10
00
00
00
00
01
10
10
10
00
00
00
10
10
11
00
10
01
11
01
10
10
10
00
00
01
00
11
10
10
01
01
00
11
10
01
01
11
10
11
01
11
11
00
10
11
01
00
00
10
10
00
00
10
10
11
00
00
00
00
00
00
00
10
11
10
00
01
00
10
00
10
11
00
10
10
10
00
00
10
00
01
11
00
00
10
00
01
11
11
10
10
00
00
10
01
11
11
11
10
10
10
00
00
10
11
00
00
11
00
00
00
11
00
10
10
00
11
11
10
01
00
10
10
00
10
10
00
00
01
00
10
00
00
00
10
10
00
11
10
00
00
10
10
11
01
00
00
01
00
01
00
10
11
01
00
00
00
10
10
10
00
01
10
00
10
10
11
00
00
10
01
01
00
11
10
10
10
11
00
10
10
00
11
11
10
10
10
11
01
00
11
11
00
00
00
00
11
00
00
11
00
11
11
01
10
11
00
00
00
10
00
00
10
10
11
01
01
11
10
01
01
01
01
11
10
11
01
00
10
11
00
01
10
10
00
00
00
10
10
00
11
01
00
10
01
01
00
00
00
10
10
10
00
10
01
10
11
00
11
11
10
01
00
11
00
01
00
10
10
00
11
00
00
10
10
10
00
00
00
00
00
10
00
01
01
10
11
00
10
10
11
01
00
11
10
00
00
10
01
10
00
10
00
00
11
10
00
11
10
11
00
11
10
10
01
00
01
00
10
10
00
11
01
00
10
00
00
11
00
10
00
00
10
10
10
00
00
10
10
10
00
10
00
00
10
10
00
00
00
11
11
11
11
10
10
11
11
10
00
01
00
10
10
11
01
00
01
00
11
10
00
01
11
10
01
00
01
10
01
10
10
11
11
10
00
11
10
10
11
00
01
10
01
01
10
10
10
10
00
11
10
11
00
00
10
00
11
10
01
00
00
00
10
10
00
00
10
10
11
00
11
10
00
11
11
00
10
00
00
10
01
00
00
10
00
00
10
00
10
00
00
10
00
00
10
00
10
10
00
10
11
10
00
10
10
10
01
01
10
00
00
00
00
00
00
10
10
00
10
00
01
10
11
00
10
10
00
10
01
00
11
00
11
00
10
10
00
10
10
10
00
00
00
00
11
10
01
11
00
00
00
01
10
10
01
00
10
00
00
11
10
00
10
00
10
00
00
10
10
01
01
10
11
10
10
10
10
10
10
10
01
10
11
01
01
00
10
10
00
11
11
10
01
01
11
11
00
10
10
11
00
10
10
00
00
00
11
00
00
10
10
11
00
10
00
11
11
10
10
10
11
00
11
11
00
10
00
10
11
00
01
00
10
00
00
10
00
01
10
01
01
10
00
00
10
10
00
00
10
10
11
10
00
00
00
00
00
00
11
10
00
01
10
00
11
10
00
00
00
00
11
10
00
11
11
10
10
00
00
10
10
11
01
10
01
00
00
11
00
01
01
10
10
10
10
01
01
11
10
10
00
10
11
00
10
11
01
00
00
01
11
10
01
10
00
10
01
10
00
00
10
00
00
01
11
00
11
10
00
11
00
00
10
10
00
01
00
10
11
00
10
10
11
00
10
01
10
01
00
11
10
11
01
11
00
00
10
10
01
01
11
10
01
01
10
01
10
00
11
01
00
10
10
01
00
10
00
01
10
01
10
11
00
11
00
00
10
10
00
01
10
11
00
00
00
11
11
00
00
10
10
10
10
00
00
11
11
11
10
10
00
00
01
10
01
00
00
10
01
00
10
00
11
10
10
10
00
10
10
00
00
00
11
11
01
10
01
01
11
10
01
10
10
01
10
01
01
00
00
10
11
01
01
10
10
01
00
01
00
11
11
11
10
01
11
11
10
10
01
01
01
11
00
00
11
00
10
10
00
10
10
10
00
00
11
10
01
10
00
11
00
00
10
00
01
01
10
10
10
10
01
00
00
10
00
11
10
00
01
01
11
10
11
10
00
01
11
10
10
11
01
00
11
00
01
11
10
10
11
10
01
10
01
11
01
00
11
10
01
00
10
01
10
10
00
11
11
10
10
01
10
10
11
10
10
01
00
00
01
10
00
00
00
00
10
10
10
00
00
10
00
00
00
01
10
10
00
10
00
10
00
01
11
10
10
10
00
01
10
10
11
01
11
00
00
01
01
01
00
11
11
00
01
10
11
01
00
10
10
01
10
10
10
01
00
10
11
01
00
11
11
00
01
10
01
10
00
00
10
10
11
00
10
10
00
00
11
10
10
10
00
01
11
10
00
11
11
00
00
01
10
10
11
00
00
00
10
01
01
10
00
10
10
00
00
10
11
11
10
01
00
10
10
00
10
10
11
10
10
00
00
00
00
01
10
01
10
10
00
10
10
00
01
10
01
01
01
10
10
10
00
00
11
00
11
11
00
11
11
10
01
00
10
10
00
00
11
00
00
10
00
01
00
10
10
11
01
01
00
00
00
11
10
00
00
10
10
00
01
10
11
00
00
00
10
11
00
00
10
01
00
10
10
00
11
10
00
01
01
00
11
01
11
10
00
10
11
00
00
00
10
01
10
10
11
00
10
10
00
00
00
11
11
11
10
00
10
11
00
10
10
01
01
11
10
00
00
10
10
00
00
10
10
10
01
10
01
01
10
00
00
00
10
10
00
01
01
11
10
11
10
11
10
10
11
01
00
11
01
10
11
00
10
11
01
11
10
00
00
10
00
00
10
10
00
10
00
00
10
11
00
10
00
10
01
00
10
01
10
10
10
01
01
10
01
01
11
10
00
10
00
00
10
10
00
01
11
10
01
00
10
10
10
01
11
00
10
00
00
00
00
11
00
11
10
10
00
00
10
11
00
01
00
11
00
00
01
10
01
01
00
10
01
10
10
00
00
10
00
11
11
11
11
01
10
10
00
11
10
00
10
10
11
01
00
00
00
00
00
10
11
11
10
00
00
01
01
11
10
00
10
10
01
10
00
00
11
00
11
10
10
10
11
11
00
01
01
10
11
10
01
00
11
10
11
10
00
10
01
01
10
00
00
01
00
00
10
00
00
00
10
11
01
10
10
00
00
00
10
10
01
11
10
00
11
10
00
11
11
01
10
00
00
10
10
00
01
10
10
00
00
00
10
10
11
10
01
00
11
11
00
10
10
01
00
10
01
01
11
10
11
00
11
00
10
10
11
01
01
00
11
10
10
10
00
00
10
10
10
01
01
10
11
10
10
11
00
00
10
11
00
10
01
11
11
10
10
01
10
00
01
01
10
10
10
00
00
11
00
10
10
01
10
10
10
01
01
00
10
10
10
00
01
11
00
00
10
10
10
00
00
11
00
00
10
00
00
11
10
00
10
10
00
00
10
10
01
01
10
11
10
11
00
11
01
00
00
11
10
11
11
00
00
11
00
10
11
10
10
11
10
00
11
10
11
00
00
10
01
10
10
10
01
00
00
01
00
11
10
01
10
10
10
00
11
10
11
00
01
00
10
00
10
10
10
00
00
10
11
00
11
00
10
10
00
10
11
00
01
10
00
00
00
00
11
01
01
00
00
10
11
10
11
00
00
10
10
00
00
10
11
10
00
00
01
01
01
10
00
10
10
00
11
00
00
01
00
00
00
01
01
00
10
00
10
00
10
11
01
00
01
10
00
11
10
10
11
00
11
10
00
00
10
00
10
00
01
00
01
10
10
10
00
10
10
10
00
00
11
10
01
00
10
11
00
00
00
00
11
11
00
11
01
10
11
00
01
10
00
00
00
01
00
10
10
10
11
10
00
10
01
00
00
10
11
01
10
01
00
00
00
01
11
00
01
11
01
10
01
00
01
00
10
00
00
10
11
00
01
00
00
01
00
10
10
10
11
01
01
11
10
01
10
10
00
10
11
10
11
00
00
11
00
01
10
10
01
00
01
10
11
01
01
10
10
11
10
10
01
11
00
00
01
01
01
11
01
00
00
10
00
01
10
11
01
00
11
01
10
10
01
01
11
11
00
01
10
10
01
00
10
10
10
11
00
00
11
10
00
00
01
00
10
00
00
11
00
10
00
00
10
01
11
11
11
10
00
10
00
00
01
10
10
01
10
01
01
00
10
10
00
10
00
00
00
10
11
00
00
00
10
00
00
00
11
00
00
11
01
10
00
01
01
10
01
10
10
01
01
01
01
01
11
10
00
10
00
10
11
00
00
10
11
00
10
10
01
00
10
00
10
00
00
00
00
11
00
01
00
11
01
00
01
00
00
10
10
00
00
01
10
10
00
10
00
10
11
00
11
11
00
11
00
10
11
11
10
01
00
00
01
10
01
10
11
00
11
11
11
00
10
10
00
01
10
10
01
11
01
10
10
10
10
00
10
00
01
10
01
10
10
10
11
10
10
01
00
00
00
10
00
00
10
00
11
10
10
00
00
10
10
00
10
11
10
10
11
00
00
10
00
00
10
00
00
10
00
11
11
01
00
11
11
00
10
10
01
10
01
00
10
10
01
11
11
10
00
11
10
10
10
00
01
11
10
00
10
10
10
01
10
10
00
00
10
00
00
00
11
11
00
00
00
10
10
11
10
00
10
10
00
10
00
11
00
11
00
00
11
11
10
11
11
00
00
10
10
10
00
00
01
00
00
01
11
11
10
11
10
00
00
11
00
01
00
11
11
10
01
10
00
10
10
00
00
10
10
00
01
00
10
10
01
10
10
01
00
11
10
10
11
00
00
10
01
00
01
01
11
10
00
11
00
01
10
10
10
01
01
10
01
11
10
01
00
10
10
00
00
00
10
00
00
00
11
01
11
11
00
11
01
00
10
00
00
11
10
11
00
01
11
10
11
01
01
11
10
11
10
11
01
00
10
10
11
00
11
10
00
00
10
01
00
01
10
00
10
01
01
10
00
11
00
00
10
10
11
10
01
00
00
00
10
00
10
00
00
00
10
10
00
00
00
00
10
00
10
00
10
11
00
10
11
11
01
11
10
00
10
00
00
00
10
11
10
10
01
01
10
10
10
11
10
01
00
00
10
01
00
10
10
00
00
10
11
00
00
10
10
00
00
11
00
01
10
00
01
01
00
10
11
00
00
10
00
10
00
10
10
01
10
00
10
10
00
01
01
10
00
00
01
00
00
10
10
11
00
00
11
11
11
01
00
00
01
01
10
10
01
11
10
11
00
00
01
10
11
00
00
10
01
00
10
10
00
11
01
11
11
10
10
00
00
00
10
01
10
11
01
10
00
10
01
11
10
01
01
10
10
10
00
00
11
10
10
10
00
11
11
10
11
00
00
00
01
00
11
01
01
00
00
00
10
01
10
10
00
01
10
11
10
10
00
00
00
10
00
00
01
10
00
01
01
00
11
11
00
11
10
11
01
10
10
01
00
11
10
00
00
00
10
11
01
01
10
10
00
00
11
10
10
00
11
00
00
11
01
01
10
11
10
11
01
11
10
00
00
11
00
01
00
10
00
00
10
00
00
10
01
00
10
11
11
01
10
01
00
01
11
01
00
01
01
11
00
00
11
10
10
10
00
01
00
10
11
00
00
10
11
00
00
00
00
00
00
10
10
00
10
00
01
00
00
00
11
00
10
10
01
00
10
01
00
00
11
10
10
01
01
11
10
00
10
10
01
00
10
00
00
10
00
11
10
00
00
11
10
00
00
11
01
00
00
01
00
00
11
10
00
00
01
11
11
11
01
11
11
10
00
00
11
10
00
10
11
11
00
11
00
00
10
11
11
00
00
10
01
10
10
11
10
10
00
00
11
10
11
00
00
11
00
00
01
01
11
10
00
10
00
00
00
01
10
10
11
11
11
00
00
00
11
10
10
00
11
01
11
10
00
00
00
11
10
00
01
00
10
10
01
10
11
10
00
10
00
11
10
00
10
11
00
10
00
10
10
10
00
11
11
11
10
10
11
10
10
00
01
10
10
00
01
10
10
00
10
10
00
11
10
01
10
10
00
01
10
01
00
11
01
00
01
00
01
11
00
10
10
10
01
10
11
00
00
11
10
10
00
00
00
00
00
10
00
00
00
00
10
11
11
01
01
10
10
00
11
11
11
01
00
11
11
00
10
10
11
10
11
00
00
10
10
00
10
00
10
10
00
00
00
00
01
11
01
10
11
01
11
01
10
01
01
00
10
10
10
10
00
01
11
00
00
00
00
11
00
01
11
01
11
10
00
01
10
11
01
00
11
01
10
10
01
11
01
10
00
00
11
00
00
10
11
00
10
10
00
01
01
00
11
00
00
00
10
10
00
00
11
10
10
00
00
00
11
01
00
10
01
10
01
11
00
00
10
10
00
01
10
11
11
00
01
10
00
10
10
00
00
00
10
00
00
11
10
01
11
00
01
10
10
00
00
01
10
10
00
00
01
00
11
00
00
10
00
00
01
00
11
11
10
00
11
01
01
11
11
10
11
10
11
01
00
01
11
10
11
00
11
00
01
11
10
00
00
11
11
00
00
10
10
10
01
10
10
01
01
10
11
10
10
10
00
00
01
10
10
01
00
11
10
00
10
10
00
10
01
01
10
10
00
11
00
00
10
10
01
01
10
10
11
00
11
10
10
00
00
10
11
11
00
10
10
11
11
11
11
01
00
10
10
10
00
01
11
01
00
01
10
10
00
10
00
00
01
10
10
11
10
00
10
00
00
11
10
10
00
11
01
00
00
10
00
00
10
01
11
00
11
10
00
00
00
10
00
00
01
10
11
10
10
01
01
01
01
00
11
00
10
00
00
10
10
01
01
00
00
00
11
11
10
00
10
00
10
11
00
11
10
00
00
00
10
10
00
00
10
01
00
00
11
00
11
10
10
11
00
01
11
11
10
11
01
11
10
01
10
00
00
11
00
00
01
11
10
01
00
11
11
00
10
10
00
10
01
00
00
10
10
00
10
10
00
10
00
00
01
00
10
00
10
00
00
00
10
01
10
10
01
00
00
01
10
10
10
00
00
00
10
00
00
01
00
10
00
10
11
10
10
10
01
10
10
10
10
00
00
00
10
10
00
01
11
11
01
00
01
10
10
10
01
00
11
01
00
00
11
01
10
11
11
11
00
10
10
01
00
10
11
00
00
10
00
00
10
10
01
01
11
00
10
00
10
10
00
10
11
01
10
00
01
10
10
10
10
10
01
00
01
01
10
00
11
10
01
01
10
10
00
00
10
00
00
01
00
11
10
10
01
01
00
11
10
01
10
01
00
00
10
11
10
10
00
01
00
10
00
00
01
11
01
10
00
10
10
10
11
00
01
10
11
10
00
10
10
10
00
11
10
11
00
11
10
10
01
00
10
10
00
00
11
11
01
11
00
10
11
00
00
10
01
01
00
10
10
01
00
10
10
00
11
10
10
00
00
11
00
11
01
00
01
00
01
10
11
10
01
01
11
00
01
00
11
00
11
01
01
01
10
10
00
00
01
00
10
10
01
10
00
11
00
11
10
01
00
11
01
00
10
10
01
00
11
10
01
10
00
00
00
11
11
01
01
10
11
00
11
01
10
11
01
00
10
00
00
10
00
10
10
10
10
00
01
00
01
10
10
00
10
10
00
01
10
00
01
10
10
10
00
11
01
00
11
01
10
10
11
00
00
00
00
11
10
01
10
00
00
10
01
11
10
01
00
00
00
01
10
10
10
00
00
10
00
00
00
10
10
00
01
01
00
00
01
00
01
01
00
00
10
01
10
11
00
10
10
00
11
01
01
11
00
01
10
00
01
10
10
01
10
10
00
00
10
00
10
10
01
00
01
01
10
10
00
10
10
00
10
00
11
00
10
00
00
10
00
00
00
11
01
00
00
10
10
00
00
00
10
11
11
00
11
10
00
10
00
00
10
10
01
01
00
01
10
10
10
01
00
11
00
00
00
01
01
10
00
11
10
00
00
00
10
01
00
00
00
10
10
01
01
10
11
00
00
11
10
11
01
01
10
00
01
00
10
10
11
01
01
00
10
00
00
00
11
01
10
00
10
10
00
10
10
00
11
10
11
00
01
01
10
11
01
00
11
00
00
10
00
00
10
11
01
00
11
10
10
11
10
11
00
00
01
01
11
10
11
01
10
00
01
11
10
00
00
10
00
00
00
11
11
10
10
00
00
00
00
10
01
00
00
11
00
10
11
01
00
11
10
11
10
01
00
01
00
10
00
01
00
10
11
00
10
01
01
10
10
11
00
00
11
00
01
10
11
01
10
10
00
01
11
10
00
10
10
10
01
00
01
00
10
00
10
11
10
11
00
00
01
11
01
11
00
10
01
11
10
00
00
11
10
00
10
10
01
10
00
01
10
11
00
10
01
10
00
11
10
01
00
11
10
00
00
00
00
11
00
00
11
10
10
00
00
00
00
10
10
00
10
10
00
10
01
11
00
10
01
10
11
00
10
00
10
00
01
00
00
10
10
10
01
00
01
10
00
01
01
01
10
01
00
10
00
00
10
10
10
00
00
10
11
00
00
10
11
00
01
00
00
01
10
11
10
01
00
01
01
10
01
10
00
10
10
00
01
01
10
10
01
10
01
00
10
11
11
10
00
10
10
10
00
00
00
10
00
01
10
00
10
11
10
00
00
11
10
10
00
01
11
00
01
10
00
00
10
10
00
11
00
01
00
10
01
00
10
11
00
00
00
00
11
01
00
11
11
00
10
00
00
11
00
11
00
01
10
01
10
10
11
01
00
01
00
10
11
11
00
10
00
10
11
00
00
10
10
00
00
00
00
10
11
00
00
00
11
00
10
10
01
00
10
00
00
10
10
11
10
10
01
00
01
10
11
00
10
10
10
11
00
00
10
11
01
00
01
00
00
11
10
00
00
10
10
10
00
11
10
10
00
01
00
00
00
00
10
00
00
10
10
00
00
01
10
01
00
01
11
00
00
10
00
01
00
10
10
10
00
11
11
11
01
10
10
00
00
01
01
00
01
00
11
11
00
11
10
10
01
00
10
00
00
10
00
01
10
00
11
10
00
11
10
00
10
10
01
10
01
10
01
00
00
11
10
01
01
00
11
00
00
11
10
01
00
00
10
00
10
00
11
11
01
10
11
00
10
01
00
10
11
00
00
01
10
10
00
01
10
01
11
00
00
10
10
11
00
00
10
10
00
11
00
01
01
00
10
00
00
01
00
11
00
00
10
10
00
10
10
01
00
10
01
00
00
10
10
10
00
00
11
01
10
10
00
10
10
00
10
00
00
01
01
00
01
11
11
10
11
01
00
10
01
10
10
10
00
10
00
10
01
10
11
00
10
00
10
10
11
10
01
10
00
10
00
11
10
00
01
00
10
10
00
10
10
10
00
01
10
01
10
10
01
10
00
00
10
00
00
10
11
11
10
01
10
00
11
10
01
00
00
10
00
11
11
10
10
11
11
01
00
10
10
10
11
11
00
01
11
00
01
11
00
10
11
00
01
00
10
10
00
10
10
10
00
10
00
00
00
10
01
01
00
10
10
11
01
01
00
10
01
00
11
11
10
00
10
00
01
00
01
01
10
00
11
00
11
00
00
11
00
00
10
00
10
00
00
11
01
00
00
01
10
00
10
11
11
00
11
10
10
01
11
00
00
01
11
10
01
00
01
10
00
10
11
10
00
00
11
11
11
00
01
00
10
00
00
11
10
10
11
00
00
10
11
11
11
10
10
00
01
10
01
01
10
11
10
10
00
10
10
11
00
00
11
01
11
00
01
10
00
10
11
01
00
10
00
11
11
10
10
00
10
11
10
01
01
10
11
00
00
01
10
10
10
11
00
11
10
01
00
10
00
00
10
10
01
00
01
10
10
10
00
00
01
10
10
00
01
00
00
01
11
10
10
00
00
10
00
10
10
01
00
10
10
11
10
10
01
01
10
10
00
10
10
11
11
10
01
10
00
10
10
00
10
10
01
11
10
01
01
11
01
00
11
10
11
01
10
11
10
00
10
10
01
00
11
11
10
10
00
01
10
00
00
11
00
00
01
01
00
10
00
11
10
00
10
11
01
00
10
01
00
00
10
00
00
01
11
00
00
10
01
10
00
00
00
01
11
11
01
01
11
00
01
10
01
00
10
10
01
00
10
11
00
00
10
10
10
10
00
00
11
01
10
10
10
11
10
00
11
00
10
11
00
10
00
10
00
00
10
10
10
01
00
11
00
10
10
00
00
00
11
00
01
10
10
11
11
10
00
10
10
10
11
10
01
10
01
00
10
10
00
10
00
10
10
10
10
00
11
10
11
00
00
01
10
10
10
10
00
11
10
10
11
11
00
01
00
10
00
11
00
01
11
00
00
00
10
10
00
00
00
10
00
11
10
10
01
10
10
11
01
00
10
10
11
01
00
10
00
11
10
01
00
00
10
10
01
00
00
00
00
01
00
00
10
11
01
01
01
01
10
10
11
11
00
00
10
11
10
00
11
01
00
01
00
11
00
11
00
00
11
11
10
00
10
00
10
11
10
10
00
11
01
11
00
00
10
10
00
00
00
11
01
11
00
11
10
00
10
11
10
00
00
10
10
01
10
11
10
00
11
00
00
00
00
01
10
11
10
00
00
00
01
00
11
10
01
00
00
00
00
01
11
11
01
11
00
10
10
10
10
00
00
00
11
00
00
01
10
11
11
01
00
10
11
00
01
10
10
10
10
00
10
11
00
00
00
10
00
00
00
10
11
01
01
10
10
11
00
01
00
10
01
10
10
00
10
10
11
11
00
10
00
10
10
11
11
10
11
00
11
10
00
10
00
01
10
01
10
11
00
11
01
00
10
10
11
01
10
00
01
10
01
11
10
01
00
00
00
10
00
00
10
11
10
00
00
00
00
00
10
00
10
10
01
10
10
11
11
00
10
10
01
00
10
01
10
10
01
10
10
11
11
10
01
00
10
10
10
10
01
00
10
00
00
10
00
11
10
01
01
11
10
10
00
01
01
11
01
00
00
00
00
00
01
11
10
01
11
00
11
00
01
11
00
00
00
00
11
10
10
10
00
00
00
00
01
01
10
00
10
11
00
10
01
00
11
10
01
00
00
01
10
10
10
10
00
01
10
10
10
00
11
10
01
00
10
11
11
00
00
10
11
10
01
10
10
10
00
00
01
10
01
10
11
11
10
10
00
11
11
01
10
10
10
10
10
11
00
01
01
11
01
00
11
10
11
11
00
00
10
10
01
11
00
00
10
11
10
10
00
01
10
10
01
10
00
10
00
10
11
01
00
00
10
00
01
10
10
10
10
00
01
10
10
01
10
10
10
11
00
00
01
10
10
00
10
10
10
10
01
00
10
10
10
00
10
00
10
11
00
01
10
00
10
01
10
00
00
11
00
00
01
11
10
10
00
10
00
10
00
00
00
10
00
10
11
01
00
00
10
11
10
01
00
00
10
10
01
11
01
00
00
01
11
01
10
11
00
01
11
01
10
00
00
00
10
10
00
00
01
11
11
10
00
10
00
01
10
11
10
00
00
11
00
01
00
11
10
10
11
00
10
00
10
00
00
11
10
10
11
00
00
10
11
00
10
00
10
00
01
00
00
10
11
01
00
11
00
10
11
10
11
01
11
00
00
11
01
01
10
00
01
10
00
11
10
00
11
10
01
00
10
00
10
00
00
11
11
00
10
11
10
11
10
01
00
00
11
11
10
00
00
10
10
11
11
01
11
10
10
10
00
00
11
00
01
01
00
11
00
10
01
00
11
11
00
00
01
00
10
00
00
11
01
11
00
10
11
10
10
00
10
10
00
00
10
01
10
00
00
01
10
00
10
11
00
00
00
11
00
01
01
10
01
10
10
01
10
01
10
01
00
11
10
11
10
11
10
01
00
11
10
00
00
11
10
11
10
00
10
10
00
10
00
00
11
11
00
10
10
01
00
01
11
10
01
00
10
00
00
10
00
00
11
00
01
11
00
00
11
01
10
00
01
11
00
10
00
10
11
10
10
00
01
01
11
01
01
00
10
01
10
11
10
00
00
10
10
10
00
00
01
10
00
00
01
00
10
00
00
11
10
10
01
11
10
01
10
01
00
10
11
00
00
10
00
00
11
10
00
10
11
00
10
01
00
00
10
01
01
01
10
00
10
10
10
00
00
10
10
10
00
00
10
00
10
01
11
10
00
01
11
10
01
11
00
11
10
00
10
10
00
10
10
00
00
11
00
10
11
01
01
01
10
00
11
01
11
11
00
00
10
01
01
00
00
11
11
10
01
10
10
10
00
11
01
00
00
01
10
10
00
01
10
10
10
00
11
10
00
10
00
10
01
00
10
00
10
10
11
00
01
11
10
00
10
00
01
10
10
11
10
11
00
00
00
01
10
00
01
10
00
00
11
01
01
10
00
10
11
00
01
10
10
01
11
10
10
00
00
11
01
00
10
01
10
00
01
00
11
11
01
10
00
10
01
11
10
00
00
11
00
01
00
00
10
10
01
10
10
11
00
10
10
10
10
11
00
01
00
10
11
10
00
10
10
00
11
01
00
00
00
00
01
00
10
11
00
00
00
00
01
11
01
00
10
00
00
00
11
10
01
11
10
11
00
01
01
01
11
10
11
00
00
10
11
00
01
00
00
10
00
10
10
01
10
00
10
10
11
11
00
01
00
10
10
00
00
10
10
01
10
10
11
00
01
01
01
10
10
10
11
00
00
01
10
10
11
10
00
00
00
11
10
00
01
00
00
10
11
01
11
00
10
10
00
10
01
01
10
11
11
10
10
00
00
11
11
00
10
00
01
10
01
01
10
10
00
10
10
10
00
11
00
01
10
00
10
11
11
00
00
11
00
00
00
10
00
10
11
11
11
10
00
10
11
00
11
00
01
00
00
01
00
00
10
11
01
10
10
10
11
00
01
00
00
10
01
00
00
11
00
10
10
00
01
00
01
10
00
00
10
01
10
01
00
10
11
00
11
10
01
11
10
01
00
10
10
11
01
00
11
10
10
01
00
01
10
10
01
00
10
11
01
10
11
11
10
11
10
00
11
10
00
00
00
10
00
00
01
00
10
10
11
01
10
10
00
00
11
01
10
11
01
01
00
01
00
10
10
00
11
10
11
01
10
01
10
10
10
01
10
00
00
11
10
10
00
00
10
00
10
00
01
00
11
00
10
10
10
10
01
01
10
01
00
10
00
00
10
10
01
11
00
10
11
00
00
00
11
10
10
10
01
01
10
01
10
01
11
10
10
00
10
10
10
00
00
11
10
10
10
00
00
00
01
01
10
00
10
00
01
01
00
10
00
11
00
00
11
10
10
00
00
11
10
00
00
10
00
00
00
10
10
00
10
11
01
00
11
11
10
00
01
10
01
00
00
10
01
00
01
11
11
10
00
01
00
11
10
00
00
10
00
01
00
10
10
10
01
11
00
11
11
00
00
01
00
10
10
11
11
01
00
01
10
00
11
11
00
00
01
11
01
10
10
00
00
10
01
00
11
10
00
00
00
00
10
10
01
10
11
10
10
00
01
00
00
00
00
10
00
10
11
00
00
11
00
10
01
00
00
11
11
01
10
10
11
00
10
01
11
11
11
00
01
00
10
00
10
11
11
01
00
11
10
01
00
00
10
10
00
00
01
10
10
00
10
01
00
10
10
00
00
01
10
11
01
11
01
10
00
10
10
01
11
11
00
00
10
01
00
10
10
01
00
10
10
01
00
01
11
00
10
00
10
00
01
11
01
00
00
00
10
00
10
11
00
10
10
10
11
01
01
00
10
01
01
10
10
11
10
10
00
01
11
11
10
00
01
01
01
10
00
01
11
10
01
10
10
01
00
00
10
10
00
11
10
00
10
10
10
11
11
00
00
10
10
10
00
00
10
10
00
00
11
00
00
11
10
11
10
10
00
00
00
00
00
00
10
00
11
11
01
00
01
00
10
00
11
10
11
00
00
11
01
00
01
10
11
10
10
10
10
01
00
10
11
00
00
10
11
11
00
10
10
10
01
00
10
00
00
10
00
01
00
10
11
00
00
01
00
10
00
11
10
00
00
10
00
00
10
10
00
00
10
10
00
00
10
10
10
00
00
11
10
00
00
11
10
11
00
10
11
00
11
10
00
01
10
11
11
01
00
00
11
00
01
10
10
01
00
10
00
10
11
00
11
10
01
00
11
00
11
00
01
10
10
10
00
11
00
10
11
00
01
10
00
10
00
00
00
00
11
11
00
11
11
11
10
00
00
10
11
00
11
00
00
10
10
01
01
01
10
10
00
10
00
00
11
00
11
01
01
10
10
10
00
01
11
00
00
11
10
10
11
00
11
11
00
10
10
10
10
01
00
00
01
10
11
00
00
00
11
11
11
10
00
10
10
01
10
11
01
00
10
10
10
00
10
11
10
00
00
01
01
11
11
10
00
11
10
01
00
10
10
00
10
10
10
01
00
10
00
01
10
01
11
10
10
00
00
00
11
01
00
11
01
11
11
10
10
00
10
11
00
00
10
01
11
11
00
10
00
00
10
10
00
00
00
11
11
10
00
00
00
10
00
01
10
00
00
01
10
11
10
00
11
10
11
10
00
01
11
10
00
11
10
00
01
10
01
01
10
11
00
01
11
10
10
00
01
10
10
00
00
00
00
10
00
10
10
11
10
00
00
01
00
10
10
01
00
11
01
10
10
11
01
11
00
10
11
01
00
00
11
10
01
00
11
00
00
11
11
00
10
00
00
10
10
00
01
10
10
00
00
01
10
01
10
00
01
11
00
10
10
01
00
10
00
01
10
00
11
11
10
10
10
10
10
10
00
00
00
10
11
10
00
01
01
01
01
10
10
10
00
10
01
01
10
10
00
10
11
00
00
10
10
00
10
10
01
01
10
10
00
11
11
01
11
11
00
00
10
11
00
10
11
01
11
10
01
00
01
01
10
11
00
10
11
10
00
01
10
01
10
00
10
01
00
00
10
11
10
10
10
00
00
00
11
11
01
11
10
00
10
11
10
00
00
10
11
01
11
11
01
00
11
00
10
10
00
01
10
10
00
10
01
00
10
01
10
11
10
10
10
01
00
00
01
10
11
01
00
10
10
01
11
11
00
10
10
10
00
01
00
11
10
00
01
10
10
11
11
10
01
10
10
01
01
11
00
11
10
11
00
00
10
10
01
00
11
10
01
00
10
00
10
11
00
10
10
11
00
01
11
00
10
00
00
10
10
00
00
00
10
10
00
00
11
10
00
01
10
00
01
11
00
11
00
11
00
00
10
00
11
10
01
00
11
00
11
00
01
00
10
00
00
11
10
11
10
00
01
00
00
01
01
11
00
01
10
00
10
10
00
01
10
10
00
01
10
11
01
00
11
11
00
01
00
11
10
10
00
10
00
10
10
00
10
11
00
00
00
10
01
00
10
01
11
01
10
00
00
11
10
01
01
11
10
01
10
10
10
11
00
00
10
10
00
10
00
00
10
01
10
10
01
01
11
01
11
00
01
10
11
11
00
00
10
10
11
00
10
01
01
11
10
10
10
00
01
10
01
11
10
10
00
00
00
00
10
00
10
01
01
00
01
10
10
11
00
10
01
00
10
00
10
01
01
00
10
10
00
10
00
00
11
10
10
11
10
00
11
10
10
01
00
11
11
00
00
00
00
11
10
11
01
10
00
01
11
00
00
00
10
00
10
10
00
11
10
10
10
11
01
10
10
00
00
11
10
01
00
11
11
00
01
10
11
01
11
00
00
10
10
10
00
10
11
00
00
00
00
11
11
00
00
10
10
00
01
00
10
10
00
11
00
00
10
01
01
11
00
11
10
00
10
10
10
00
11
10
00
00
10
11
10
00
10
10
00
10
01
00
10
01
00
00
10
10
01
10
00
10
10
00
10
10
00
11
00
00
10
10
01
10
01
00
11
01
01
10
10
10
10
10
00
00
10
11
10
11
00
00
01
11
10
00
00
10
01
11
11
00
00
00
00
00
11
10
00
11
00
00
01
10
10
00
01
11
11
11
10
10
10
00
00
10
10
00
01
11
10
10
00
11
11
11
00
00
10
01
01
11
10
11
00
01
00
00
10
11
00
10
11
11
00
10
11
00
00
01
10
10
10
11
01
00
10
01
00
10
11
00
10
00
10
10
00
11
11
01
11
10
01
00
00
10
10
00
10
10
00
01
00
00
01
00
10
11
00
10
10
10
01
10
10
01
10
11
10
10
10
10
01
00
00
10
00
11
10
10
01
10
01
00
10
00
00
11
10
11
00
00
10
00
00
10
11
00
00
11
10
10
00
10
10
01
01
00
11
00
11
10
01
10
00
10
10
00
11
11
00
01
10
10
01
01
10
10
10
00
11
11
11
10
01
10
11
00
10
00
10
10
00
10
01
11
01
11
10
11
00
00
00
10
11
00
01
10
00
10
01
01
10
11
00
10
11
10
00
10
10
00
00
00
10
01
00
11
00
01
00
00
10
10
11
10
10
00
10
11
00
01
01
11
01
10
11
00
11
00
01
10
11
00
11
00
01
00
11
00
10
01
10
00
01
00
10
00
00
10
10
00
00
11
11
01
01
00
10
01
01
00
00
10
10
10
00
10
01
00
01
10
10
10
10
11
00
00
11
00
11
10
11
11
00
10
11
00
00
10
01
10
00
01
11
11
00
10
01
00
00
10
10
00
10
11
00
10
10
11
00
11
11
01
11
10
10
00
10
10
00
11
10
01
11
00
01
10
10
11
00
01
10
00
00
01
00
01
11
10
11
01
10
01
00
11
00
11
10
00
10
10
01
01
11
10
10
10
10
11
10
10
00
00
11
01
00
00
11
10
01
01
00
11
00
10
10
11
00
00
10
10
10
10
01
10
11
00
00
00
11
11
00
11
10
10
00
10
00
00
01
11
11
00
00
00
10
10
11
10
01
11
00
10
00
10
00
11
11
00
00
11
10
00
01
10
10
00
11
10
10
10
00
10
00
00
01
10
01
01
00
10
10
10
00
00
10
10
11
11
00
00
10
10
00
00
00
01
11
10
10
01
10
00
00
00
10
01
01
11
10
10
10
10
10
00
10
10
00
00
10
10
10
10
10
10
01
10
01
10
11
00
10
00
10
11
11
00
01
00
11
01
10
10
00
00
10
00
00
10
01
10
10
10
01
10
00
01
10
10
11
11
00
00
00
00
01
00
11
00
11
11
01
11
01
10
10
10
11
00
01
10
00
10
10
10
10
10
10
10
10
00
01
10
00
00
00
10
00
11
00
00
10
11
10
00
00
00
11
10
10
00
10
00
00
01
10
00
01
11
11
10
01
10
10
11
10
00
01
00
10
10
01
00
11
00
01
00
11
11
01
11
10
10
10
01
00
01
10
01
00
10
11
10
10
01
01
11
00
01
11
10
01
00
11
10
10
00
11
01
00
00
10
11
00
10
00
00
11
10
10
00
11
11
00
00
00
10
01
11
10
01
00
10
00
01
00
10
10
10
10
00
10
01
00
00
10
00
10
00
00
10
00
01
00
00
10
10
00
00
10
10
11
00
00
10
11
10
11
10
01
11
00
00
11
00
01
10
10
11
10
11
11
00
10
00
10
10
00
00
10
00
10
10
11
01
11
01
10
01
00
10
10
00
00
01
00
11
01
01
00
10
10
00
11
11
10
10
00
00
01
01
11
00
11
10
10
11
00
10
10
01
00
01
01
10
00
10
00
10
00
10
10
00
11
00
00
00
11
10
10
10
01
10
01
00
01
00
10
10
00
00
00
10
10
11
10
00
10
00
11
10
01
00
10
10
11
01
10
10
00
10
00
00
11
00
10
10
10
00
01
11
11
11
11
01
10
10
10
10
00
01
11
00
11
10
00
11
00
01
10
10
00
11
10
00
00
10
00
00
10
00
10
00
01
01
00
10
01
00
10
00
10
00
10
01
00
10
10
11
10
00
01
00
00
10
00
11
10
00
00
10
10
10
00
00
00
10
11
10
10
10
10
00
00
10
11
00
01
00
00
10
01
10
00
10
10
01
01
00
11
00
00
01
01
11
00
01
10
11
11
01
10
11
11
01
01
11
01
01
11
10
10
10
00
01
00
01
11
11
00
00
10
00
10
11
00
00
10
00
00
10
10
00
10
00
10
11
10
00
01
10
01
01
00
10
10
10
10
11
00
00
00
00
00
01
10
10
00
10
10
10
11
10
10
00
00
10
11
00
00
10
10
11
11
00
10
01
10
11
00
01
01
10
10
01
11
10
11
01
00
11
10
10
01
10
10
00
00
10
10
10
11
10
00
10
11
11
00
11
10
00
01
10
00
01
00
11
01
10
01
11
10
01
10
01
01
00
11
10
01
11
00
01
11
10
10
01
00
10
00
01
00
11
10
00
11
11
01
00
10
10
10
10
11
00
00
11
10
10
10
00
10
10
00
00
10
00
01
00
00
01
10
11
11
00
10
00
00
00
11
10
01
10
01
01
11
01
01
00
10
00
10
00
11
11
11
00
00
11
00
10
10
00
01
00
00
11
11
00
00
10
00
11
11
00
01
10
01
10
10
11
10
00
00
00
10
11
00
00
00
00
10
00
00
10
00
11
00
00
00
10
01
00
11
00
00
11
11
00
11
00
01
01
00
10
11
00
00
10
00
11
00
01
10
10
10
01
00
00
10
00
00
11
10
10
01
10
00
00
00
11
00
01
11
11
00
00
10
10
10
10
00
00
01
10
11
00
10
10
10
10
00
00
10
10
01
00
00
10
00
00
00
00
10
00
00
11
10
00
11
01
11
00
00
10
01
00
10
11
01
11
00
11
10
01
11
10
11
00
01
00
00
10
11
00
00
10
00
00
10
11
01
10
11
01
01
01
10
00
10
10
00
01
11
10
10
01
01
00
01
00
10
10
10
10
00
01
11
10
11
01
01
10
01
11
10
00
00
10
10
01
00
10
01
00
01
00
10
00
11
10
01
11
11
10
00
00
10
00
00
10
10
01
10
01
11
10
00
11
11
01
11
11
10
01
10
10
00
01
11
00
00
10
00
11
10
00
10
11
10
01
10
11
00
11
01
00
11
10
10
00
10
00
11
01
00
00
10
11
00
11
10
00
00
01
11
11
01
00
00
10
10
00
00
10
11
00
01
11
10
01
01
10
01
10
11
00
00
00
11
01
01
11
10
11
00
00
10
10
01
00
10
00
10
01
11
00
00
00
11
10
10
11
00
11
00
00
10
00
10
01
10
10
01
00
01
01
01
10
00
00
11
10
00
10
11
00
00
01
10
00
10
10
00
01
10
10
11
00
10
11
00
10
10
01
00
01
01
01
11
11
01
11
10
00
11
11
00
00
10
10
10
10
10
00
01
00
10
11
01
00
11
11
00
11
10
00
10
11
00
01
10
00
10
00
00
01
00
11
10
01
01
00
10
10
00
11
10
01
10
11
10
11
00
01
00
00
10
10
00
00
00
10
00
11
10
01
00
01
00
00
10
10
10
00
01
10
01
00
00
10
00
10
10
11
00
10
10
00
11
00
01
10
00
10
01
00
00
00
11
00
00
00
10
01
00
10
11
00
00
10
01
11
11
10
00
00
11
10
01
00
10
11
00
10
10
00
00
11
00
00
01
00
10
00
00
10
10
11
10
00
00
10
11
10
00
10
00
10
10
01
00
01
10
00
01
11
00
10
01
00
00
00
10
11
10
10
01
00
00
11
10
11
10
01
01
00
10
11
00
00
01
10
00
00
11
10
11
01
00
01
00
00
10
00
00
10
10
00
00
00
10
01
10
10
11
10
00
00
01
01
10
10
10
10
00
10
11
00
00
11
10
00
00
11
00
00
10
10
00
10
10
00
11
00
00
11
00
10
00
00
01
00
11
10
00
10
01
10
10
01
10
10
11
10
11
00
10
10
00
11
00
01
11
11
10
01
00
00
00
00
10
10
00
00
00
10
00
01
00
10
10
11
00
00
00
00
11
10
00
10
11
11
10
10
00
00
00
10
10
00
01
00
10
11
11
11
00
00
10
01
10
00
00
10
11
10
11
00
11
10
01
10
11
00
00
11
10
10
11
11
01
11
10
00
00
01
10
00
00
10
00
00
10
10
00
00
00
10
11
00
11
10
10
00
01
01
01
10
10
00
10
01
10
10
01
11
11
00
00
10
10
01
11
00
00
10
10
10
11
00
01
10
11
00
00
00
11
10
11
00
00
01
01
01
10
10
10
10
11
00
00
10
01
10
00
01
10
00
01
01
00
11
10
10
11
01
01
00
11
10
01
00
01
10
00
00
10
11
01
00
10
01
00
10
10
10
11
01
01
10
10
00
00
00
10
00
00
00
10
00
10
10
10
00
00
10
00
11
10
10
01
01
01
10
10
10
11
00
00
00
10
01
10
10
00
10
11
00
00
10
11
00
10
00
10
10
01
10
00
10
00
10
10
01
01
01
10
01
01
00
01
10
00
01
10
10
01
10
00
11
01
00
00
10
10
00
10
00
00
10
00
00
10
10
00
10
10
00
00
11
01
11
11
10
01
01
11
00
00
10
10
00
00
10
10
00
00
01
11
00
00
00
00
00
00
01
00
00
11
10
00
10
00
00
10
10
11
00
00
00
01
01
00
10
10
10
00
10
10
11
10
10
00
10
00
00
10
00
00
00
11
01
01
00
01
10
10
00
11
10
00
10
10
01
10
00
10
00
00
10
00
10
00
01
01
10
00
01
11
11
00
01
00
11
01
00
01
01
11
00
10
10
00
01
11
10
01
11
10
00
00
01
00
10
11
00
10
11
01
11
10
10
01
10
00
00
10
10
01
00
11
10
00
00
00
00
10
11
00
00
10
00
01
10
00
11
11
10
10
11
11
11
10
01
00
10
00
00
11
00
10
10
01
11
00
00
11
10
00
00
11
10
00
10
00
00
10
10
00
10
00
01
00
10
01
11
01
01
10
00
10
10
10
11
00
00
10
10
01
10
00
00
10
11
00
01
11
11
00
10
10
00
00
10
00
11
11
10
10
00
00
10
11
01
01
11
10
10
00
00
00
10
00
10
11
00
10
00
00
10
10
10
00
10
11
01
10
00
01
11
11
01
00
10
10
01
10
10
10
00
11
01
00
00
01
10
00
00
11
11
10
01
00
00
10
01
01
10
01
00
00
00
00
11
00
10
10
11
00
00
01
00
00
11
00
11
00
00
11
00
11
10
00
10
10
10
00
00
10
10
10
00
00
00
10
10
00
00
11
00
00
00
11
10
11
00
11
10
00
00
01
10
11
10
00
01
10
10
00
00
10
00
01
11
00
00
00
01
10
11
01
00
10
11
10
11
11
11
10
10
11
00
00
00
11
01
10
10
10
11
10
00
00
10
11
01
00
10
01
10
01
01
11
00
00
00
10
10
01
00
10
00
01
01
10
11
01
11
00
00
10
00
00
00
01
00
10
00
00
00
00
01
10
10
01
00
11
01
00
11
01
01
10
10
10
00
11
10
00
01
10
10
10
00
00
00
00
10
00
01
10
01
11
01
11
00
00
11
11
00
10
10
00
01
01
11
10
01
10
00
00
01
10
00
11
10
00
00
00
11
11
11
10
11
10
01
10
00
01
10
11
10
00
00
00
11
10
00
00
00
10
10
11
01
01
11
00
00
01
00
10
00
00
00
00
10
11
11
11
01
00
01
10
00
10
00
00
01
11
11
00
10
10
11
10
10
10
00
01
11
00
10
10
00
00
10
10
01
00
01
00
10
10
10
00
10
11
00
11
01
00
00
00
10
11
10
01
11
11
10
11
00
00
10
10
01
10
10
11
00
00
10
00
10
10
00
00
11
10
00
10
10
00
10
10
00
01
10
11
11
11
01
01
00
00
11
10
10
10
00
01
10
11
01
10
10
11
10
00
00
11
11
10
01
00
00
11
11
01
11
11
01
01
01
00
11
10
10
00
00
10
10
11
01
10
10
10
00
10
10
00
10
10
10
00
00
00
10
10
01
00
11
00
00
11
00
10
00
01
11
11
01
10
10
00
00
10
10
01
00
00
00
10
11
10
00
01
11
10
00
10
10
11
00
01
10
01
00
00
10
10
01
00
10
11
00
11
00
01
10
10
10
00
10
10
00
00
01
00
00
00
11
10
10
10
11
10
11
00
10
11
11
00
10
00
00
11
01
00
11
00
11
10
10
00
01
10
00
11
10
00
10
00
00
11
00
00
10
10
10
10
10
01
10
10
01
00
00
01
11
10
10
00
10
10
00
01
10
00
00
10
01
11
11
01
00
01
00
00
01
10
00
10
10
10
10
10
01
00
00
10
00
01
10
00
00
00
10
00
10
11
11
00
00
00
11
10
11
00
11
11
10
01
00
11
11
01
00
01
11
11
10
00
10
11
01
10
00
01
00
00
01
11
11
00
00
00
10
10
00
00
10
00
00
10
10
00
10
01
00
10
00
10
01
11
10
01
10
01
10
00
11
11
00
10
00
00
10
11
00
01
00
01
10
11
10
00
10
10
10
00
00
10
00
00
11
10
10
00
10
10
11
01
10
11
11
11
00
10
00
10
01
01
10
10
01
00
10
11
01
00
01
11
10
00
00
11
11
00
01
11
00
00
10
10
10
00
01
00
10
01
00
01
00
10
10
11
00
10
01
00
11
10
00
10
01
01
10
01
00
10
10
01
00
00
10
10
00
11
01
00
11
00
11
10
11
00
01
00
10
01
10
10
01
11
11
00
10
11
10
10
00
00
10
11
01
01
10
10
11
10
00
11
01
10
00
00
11
10
01
00
01
00
00
10
10
00
10
11
00
00
01
11
10
01
10
10
10
00
11
11
00
00
11
11
10
10
01
00
01
00
00
11
00
01
00
10
10
10
10
00
10
01
00
00
10
01
00
00
10
01
01
10
10
10
00
00
00
00
10
11
10
11
00
10
00
00
00
11
00
01
10
11
11
10
11
01
01
10
11
00
10
00
10
01
00
01
00
11
00
01
11
11
01
00
10
10
10
01
00
11
10
01
01
10
00
00
11
11
10
01
00
01
00
10
10
00
00
10
10
10
00
10
01
00
00
00
10
01
10
00
10
00
00
00
00
11
01
11
11
00
01
10
10
00
10
10
01
01
11
00
00
11
10
00
01
10
00
00
01
10
11
10
10
01
00
10
01
01
11
00
00
00
00
11
11
01
10
10
00
00
01
00
10
10
10
00
01
10
11
01
11
11
00
00
11
00
00
10
10
00
10
01
10
00
00
01
10
01
01
11
11
01
00
10
10
01
00
10
11
10
01
10
01
00
10
11
01
00
11
10
00
00
10
10
01
10
10
01
01
01
11
00
01
11
10
00
10
11
00
01
10
10
00
00
00
10
10
01
00
00
10
10
10
00
10
10
10
00
11
00
00
11
10
00
11
10
10
10
10
00
00
01
00
10
10
00
01
10
10
10
10
01
00
10
11
10
00
00
10
10
10
00
00
01
00
00
11
10
00
01
01
00
01
00
10
10
11
00
00
11
10
00
01
01
00
01
10
00
00
10
11
00
01
10
11
10
11
11
00
00
10
10
00
11
10
00
00
01
01
10
11
00
11
01
10
11
00
00
11
11
00
11
00
01
00
01
00
11
11
00
11
10
01
00
11
00
00
00
10
00
00
00
10
01
01
10
00
00
10
00
01
10
10
11
00
10
01
10
01
10
10
00
10
00
01
11
10
10
01
10
00
00
11
10
11
11
00
10
10
00
10
00
11
01
00
10
01
11
00
10
10
00
10
10
00
00
11
10
01
11
10
00
00
10
11
10
01
01
10
00
00
01
00
00
11
01
00
00
00
11
10
11
01
10
00
10
11
11
00
01
10
00
00
00
10
10
10
00
00
11
10
10
10
00
00
00
00
10
00
10
01
10
00
10
11
10
00
00
00
00
00
00
10
11
10
01
10
10
10
00
00
10
01
00
10
10
00
01
00
11
10
00
00
00
11
10
10
10
10
00
10
00
00
01
10
10
00
00
10
11
00
01
00
10
00
00
11
10
10
10
11
00
10
10
10
00
00
01
01
00
00
00
11
10
01
10
01
01
10
10
01
11
00
11
10
00
10
00
01
10
10
00
00
10
10
00
10
01
10
01
00
10
00
10
10
01
00
11
10
11
01
00
11
10
00
11
11
11
00
01
11
00
10
10
00
00
10
10
00
10
00
00
10
11
11
00
10
00
10
10
11
10
00
11
11
10
01
00
01
10
10
10
00
11
10
10
01
00
11
00
01
10
11
00
10
11
00
00
10
00
00
01
11
10
10
10
00
00
10
11
01
00
10
11
10
01
10
01
01
01
10
10
00
00
10
00
10
01
00
01
01
10
00
01
11
11
11
10
00
01
10
10
11
01
11
10
10
00
11
10
00
01
10
10
10
11
00
00
10
00
11
01
10
10
11
10
11
00
00
10
11
10
01
00
10
00
00
10
10
10
00
10
01
11
10
00
00
10
10
00
10
11
10
00
00
10
00
00
10
01
00
10
11
10
10
01
00
11
00
01
00
00
01
11
10
10
00
11
00
10
00
00
01
10
01
11
11
10
01
01
11
10
11
00
01
11
11
10
00
11
10
10
00
01
00
01
10
10
01
00
00
10
01
00
10
10
00
00
10
00
10
11
00
00
10
00
00
00
00
10
00
10
00
10
10
00
00
00
10
01
11
00
00
01
01
10
01
00
11
10
00
01
10
01
00
00
11
00
00
11
10
01
10
11
00
10
10
11
10
01
11
10
00
00
01
10
01
00
10
00
10
00
00
00
10
00
10
10
01
11
00
01
01
10
11
10
00
11
00
01
11
01
01
00
10
11
01
00
11
11
01
00
10
11
10
01
01
01
11
11
10
00
00
00
10
10
00
00
00
00
10
01
00
01
10
10
01
11
00
11
11
00
10
10
01
10
00
00
00
10
10
10
11
00
00
10
01
11
00
01
10
00
10
00
00
10
11
00
01
10
00
10
10
10
00
10
10
00
10
00
10
11
11
10
01
10
01
11
11
00
00
10
11
10
00
10
01
00
10
00
00
10
10
00
11
11
01
10
11
10
11
10
10
00
01
10
10
10
00
11
01
10
10
01
01
01
00
10
00
00
10
11
00
00
10
11
00
00
10
11
11
10
01
00
11
10
00
10
00
00
10
10
00
00
10
11
10
00
00
11
11
01
01
00
10
10
00
00
10
10
01
10
00
10
00
11
11
10
10
00
00
00
10
01
11
00
10
01
11
00
01
10
10
10
00
00
00
11
11
11
11
10
00
00
10
00
00
10
00
01
01
10
10
00
10
00
00
00
11
01
01
01
10
10
10
10
11
10
00
01
00
11
10
10
00
01
01
10
00
00
11
01
11
10
00
00
10
10
01
10
11
00
01
11
00
11
01
10
11
11
00
01
10
10
00
01
10
10
10
00
00
00
00
00
10
10
11
11
01
01
00
00
10
00
01
10
11
10
00
01
01
10
10
00
00
01
11
10
01
11
10
00
10
00
00
10
10
10
00
00
00
00
00
01
10
01
10
00
11
10
01
10
01
00
01
01
11
01
10
10
00
11
11
01
01
11
10
00
01
10
00
10
10
00
00
00
11
10
00
00
10
00
11
00
00
10
10
00
10
10
01
11
11
01
00
00
01
11
10
00
10
00
10
00
11
11
01
01
10
00
00
01
10
10
00
00
00
11
10
10
00
01
01
11
00
10
01
00
00
01
10
10
10
10
10
10
11
10
10
00
10
10
10
00
01
11
10
10
00
11
11
10
01
01
10
11
10
01
00
10
00
00
01
10
11
01
11
10
10
01
01
11
10
10
00
00
10
10
00
00
00
00
11
11
11
10
10
10
00
10
01
10
01
10
00
00
10
10
00
00
11
01
00
10
10
00
01
10
01
00
10
10
01
10
11
10
00
10
10
00
00
00
10
00
10
10
00
10
11
10
10
10
01
01
01
00
10
10
10
00
10
00
00
11
10
00
00
00
10
00
01
10
00
01
11
00
11
00
11
00
10
10
01
10
01
10
11
00
00
10
10
01
00
11
10
00
01
01
10
10
00
10
10
01
00
10
01
10
00
00
01
00
11
01
00
10
11
10
00
01
10
00
11
10
10
00
10
11
10
00
10
00
01
10
00
00
00
10
01
00
01
11
10
10
00
00
01
11
10
11
10
10
11
11
10
00
10
00
11
10
01
10
00
10
01
00
10
01
00
10
10
11
11
10
00
00
00
11
11
10
00
01
00
11
01
01
00
00
10
10
00
00
00
10
00
00
00
10
10
10
00
11
01
00
10
00
11
10
00
00
11
00
11
10
10
00
10
10
01
01
10
10
10
11
00
00
10
01
00
10
10
10
00
01
10
10
11
11
10
11
10
11
10
00
00
10
00
00
00
01
01
10
01
10
00
10
00
01
10
10
00
10
10
11
10
00
01
10
10
11
10
00
00
01
10
10
10
11
00
00
00
00
11
01
11
11
10
00
10
00
00
00
10
11
10
00
11
10
10
10
11
01
01
11
10
00
00
11
10
00
01
10
10
11
01
10
00
10
11
00
00
10
11
10
00
01
10
01
10
01
00
10
10
00
11
10
10
00
10
11
00
00
01
10
11
01
10
01
00
10
11
10
00
01
10
01
00
11
10
01
11
00
10
00
00
10
00
01
01
11
10
10
00
00
11
00
10
10
01
00
10
10
00
10
00
10
11
01
00
11
00
11
00
00
00
11
10
00
10
00
10
01
00
10
00
00
10
00
11
01
11
10
01
10
01
01
01
10
11
10
11
01
01
00
10
00
00
10
00
11
10
10
11
00
00
00
01
10
00
10
10
00
10
00
00
00
10
10
10
11
10
01
10
10
00
10
00
01
00
10
11
01
10
10
00
00
01
11
10
00
00
01
11
00
00
11
01
10
01
00
10
10
00
10
00
00
10
00
10
10
01
10
00
00
10
00
10
10
00
01
00
11
11
10
11
10
10
00
01
10
00
01
10
10
00
00
00
11
11
01
10
11
01
00
11
01
00
00
00
11
11
00
01
10
10
01
01
10
10
00
10
00
10
10
01
11
11
10
10
00
11
00
10
00
01
10
11
01
10
10
10
00
00
01
10
10
00
00
00
10
01
11
01
10
00
00
11
11
00
00
10
10
11
00
00
01
10
10
00
10
10
01
01
11
00
00
00
10
00
00
10
00
00
11
00
11
00
10
00
01
10
00
00
11
11
10
10
11
10
10
01
10
11
00
01
10
00
01
10
10
00
10
10
00
10
01
10
10
10
00
00
00
11
00
01
01
10
11
00
01
10
10
00
11
11
00
00
11
01
10
01
10
10
01
01
11
10
00
00
10
00
01
11
01
00
10
10
10
00
01
10
10
00
00
01
11
10
01
00
01
10
10
11
00
10
10
10
00
00
11
10
01
00
10
00
10
11
10
01
00
00
00
01
01
01
10
11
00
01
00
00
00
11
11
00
00
11
11
00
11
11
00
10
10
00
00
00
11
10
00
00
10
10
00
11
10
10
10
10
10
00
00
00
11
10
10
00
00
00
11
11
00
01
10
00
00
00
10
00
00
10
00
11
10
00
10
01
00
00
10
10
00
11
10
00
00
10
00
10
00
11
00
00
01
00
10
10
01
00
11
10
10
00
00
11
01
10
10
00
00
00
00
01
11
10
00
10
11
10
10
01
00
00
00
10
10
00
10
00
00
10
00
00
11
10
10
00
11
10
00
00
01
01
00
00
11
10
10
00
00
10
01
11
11
10
11
10
00
00
00
10
11
01
01
10
10
10
01
10
01
10
10
11
00
00
10
00
00
10
00
11
01
10
10
00
00
00
10
10
01
10
10
11
00
01
10
00
10
10
00
00
01
10
10
00
10
10
00
10
10
10
10
00
10
10
01
00
10
10
00
10
11
01
01
10
11
00
00
01
10
01
10
01
00
11
11
00
00
00
00
10
10
00
01
10
11
10
00
01
00
01
11
10
10
00
11
10
01
01
11
10
11
00
00
00
10
00
00
10
10
10
01
01
10
00
00
10
01
01
10
10
11
10
00
10
10
01
10
10
11
10
00
10
10
10
00
00
00
11
00
00
10
00
10
11
10
00
00
10
11
10
01
10
01
00
01
11
00
10
10
00
01
01
11
11
00
00
10
10
00
10
01
10
10
11
10
01
00
00
10
01
11
00
10
10
10
10
10
10
01
01
11
01
00
00
01
11
11
01
00
10
01
11
10
01
00
10
10
10
10
01
11
10
10
10
11
00
11
11
01
00
10
10
00
00
10
10
01
11
11
01
10
10
10
00
01
10
11
01
01
00
01
00
10
10
01
00
10
10
10
01
01
00
10
00
00
11
10
01
01
01
00
11
00
10
10
00
10
11
01
00
10
10
10
10
11
10
00
00
10
11
00
01
11
10
10
00
00
00
10
01
00
01
01
00
01
01
11
10
00
00
00
11
11
00
10
01
11
01
10
01
01
10
01
01
01
10
10
00
11
10
11
00
00
00
11
01
00
10
11
01
01
00
00
10
11
01
10
10
00
00
01
10
10
11
00
01
00
10
00
00
00
10
11
00
10
00
00
00
10
10
00
10
10
00
11
00
01
11
00
11
00
10
01
11
00
01
10
10
10
10
01
00
10
00
00
11
10
00
11
10
01
01
01
10
00
01
10
01
01
10
10
01
00
00
10
11
00
11
00
01
10
11
00
00
00
10
00
10
00
10
01
10
01
10
11
01
11
00
00
10
00
10
11
01
00
11
01
00
10
10
10
00
00
11
10
00
00
00
10
00
00
10
00
01
10
10
10
10
00
10
00
00
10
11
10
00
01
11
10
00
00
11
00
11
10
11
00
11
01
10
00
00
00
10
10
00
00
11
01
10
11
00
11
10
00
11
10
00
01
10
10
10
11
10
00
01
01
10
00
00
00
11
11
01
10
00
10
00
00
11
01
00
01
10
00
00
10
01
10
10
00
00
00
10
11
00
10
00
11
00
00
11
10
01
00
01
10
10
00
10
11
10
11
01
00
00
11
11
01
00
10
11
00
10
01
10
11
00
01
00
00
10
00
10
11
00
00
10
11
10
10
10
11
01
10
00
01
00
00
10
10
00
10
11
00
11
10
00
00
10
00
11
10
00
00
01
00
10
00
10
10
10
00
10
10
11
10
10
00
00
01
10
00
01
11
11
10
10
10
10
00
00
00
10
00
00
10
00
10
11
00
01
00
00
00
00
00
10
11
00
00
01
01
11
11
01
01
01
11
10
11
01
00
01
00
10
10
10
00
00
00
11
10
00
11
00
10
10
00
00
00
10
10
10
10
01
01
11
11
11
11
10
10
10
10
10
00
00
10
01
01
00
00
10
10
11
10
00
00
00
01
01
10
10
00
00
01
00
01
10
00
11
10
11
10
11
00
00
10
11
01
00
01
00
00
00
11
10
01
00
10
11
00
10
11
10
00
11
11
00
10
01
10
00
01
00
11
10
01
11
10
11
00
11
00
10
10
01
01
00
11
11
11
00
10
01
01
11
01
10
10
10
00
00
10
00
11
00
00
10
00
01
00
00
10
11
10
11
11
11
10
10
10
00
00
10
00
00
10
01
10
10
00
00
00
11
10
00
00
10
01
01
00
10
11
00
01
10
11
10
11
11
01
01
00
00
11
11
00
00
00
10
00
01
11
00
11
10
10
00
11
01
00
10
10
01
10
01
00
11
10
11
10
01
11
00
01
10
01
10
11
00
00
00
10
01
10
10
01
00
10
00
00
11
11
00
00
00
10
11
00
00
00
00
10
00
10
10
00
00
01
10
11
10
11
00
00
00
10
11
00
11
10
10
11
00
11
01
11
10
10
00
00
00
10
10
00
10
00
11
10
01
00
01
01
11
10
10
10
00
00
01
10
11
00
01
10
10
00
10
00
01
11
01
11
10
10
11
00
10
01
00
11
00
00
11
10
00
10
11
01
00
00
00
00
01
01
10
11
10
01
00
00
10
10
00
11
00
11
00
00
10
10
11
00
10
01
10
00
10
10
10
10
10
00
01
00
00
00
00
10
11
11
00
01
10
10
10
11
01
10
01
00
01
10
10
10
10
01
01
01
01
11
11
11
10
11
00
00
01
11
10
01
00
01
10
01
01
10
11
00
01
00
10
11
10
11
00
00
10
10
10
00
00
11
00
10
01
10
00
10
00
01
00
10
11
00
00
01
11
10
11
10
10
10
10
01
00
00
11
10
11
01
01
10
01
10
00
00
00
11
10
00
00
10
10
00
11
01
01
00
11
10
11
00
01
10
10
01
01
11
00
10
11
01
00
01
10
11
00
00
10
11
11
00
00
10
00
00
00
11
00
00
01
11
00
10
00
01
10
00
10
11
00
00
11
10
10
00
10
01
10
10
00
11
10
01
10
11
00
00
00
10
11
10
01
00
10
11
01
11
10
01
00
10
11
00
00
00
01
10
01
01
10
11
00
10
10
10
00
10
10
00
01
11
01
10
11
00
11
00
00
10
10
01
01
00
00
10
00
00
11
11
00
01
10
00
00
10
10
10
00
01
11
00
10
00
00
10
01
10
10
01
00
00
11
00
00
00
00
10
10
10
00
10
10
10
00
11
10
01
10
00
10
10
11
01
10
10
10
00
10
00
11
01
11
10
01
00
00
10
01
11
01
11
11
10
10
01
00
10
11
00
00
11
10
00
00
00
11
11
01
11
10
01
00
00
10
01
00
10
00
10
11
01
01
11
11
10
11
00
01
00
10
11
00
11
11
01
01
01
10
10
00
01
11
11
00
00
01
01
00
10
00
00
10
10
01
00
10
10
10
10
00
00
10
00
10
10
10
10
00
11
10
11
10
00
00
00
10
10
00
10
00
00
01
10
11
00
10
10
01
10
00
01
11
00
00
10
10
11
00
11
00
00
10
11
00
01
00
11
00
01
10
10
10
00
10
10
10
00
10
10
11
10
00
01
10
00
01
01
01
01
10
01
00
00
10
11
00
11
10
00
11
10
01
00
00
10
10
11
10
10
01
11
10
10
11
11
10
01
00
00
10
00
01
11
10
10
00
00
10
11
10
00
01
10
01
01
00
10
00
11
10
10
00
01
11
01
10
00
00
10
01
00
10
00
01
10
11
10
00
10
10
01
00
10
11
00
00
00
10
10
00
00
10
00
00
10
10
01
10
11
00
00
00
11
10
10
00
01
01
00
10
10
10
00
00
10
00
10
00
10
10
10
01
01
10
10
01
10
00
01
10
00
00
10
10
10
10
10
00
10
00
00
01
00
01
00
11
10
01
11
01
10
10
10
01
10
11
10
11
01
00
00
01
10
00
10
10
10
01
01
10
10
01
10
00
00
11
00
11
00
00
10
01
01
10
00
11
10
10
10
01
00
00
00
00
00
10
00
00
00
11
11
10
10
01
11
01
00
00
11
10
11
10
00
10
11
00
00
00
10
10
01
01
01
01
00
10
10
10
10
01
01
10
11
00
10
00
01
00
00
11
11
00
01
01
10
00
00
10
01
01
10
11
01
00
10
00
00
10
10
10
10
01
00
10
10
00
01
10
10
01
00
00
00
10
11
01
10
01
00
00
00
00
10
10
11
11
00
10
11
10
01
11
11
01
00
11
00
10
10
00
00
10
01
01
10
00
10
10
00
10
00
01
10
01
01
01
00
11
01
10
00
10
10
10
11
01
00
10
10
00
00
00
00
11
01
00
00
00
01
11
10
11
10
10
00
11
00
00
00
10
10
00
01
10
01
00
10
10
00
10
10
11
00
00
01
10
10
00
00
10
01
00
10
10
01
10
11
00
00
00
00
00
10
00
01
10
11
10
10
00
10
00
00
10
01
00
01
10
00
10
00
00
10
01
01
11
10
00
10
00
01
00
01
11
00
11
01
11
11
11
11
00
01
00
10
11
01
00
10
11
01
11
10
01
11
10
00
00
11
11
11
00
00
10
11
01
11
11
00
11
11
00
01
11
10
00
00
10
10
00
11
11
10
01
10
00
01
10
00
00
01
11
11
10
11
01
00
00
11
10
01
10
11
10
11
10
00
10
11
00
01
10
10
10
10
10
01
11
10
00
00
00
01
10
10
00
00
00
00
11
00
01
10
00
10
11
00
11
01
00
01
00
00
11
10
00
00
00
10
00
01
01
00
00
10
11
00
01
10
00
10
11
01
00
00
10
00
11
01
10
10
00
10
10
00
00
10
10
10
01
00
11
01
10
00
11
10
01
10
11
00
01
10
00
00
10
01
11
11
00
10
10
11
10
00
01
00
10
10
00
11
10
11
01
11
10
11
00
10
10
01
10
00
00
10
10
00
00
10
10
01
10
00
01
10
00
00
01
00
00
10
11
00
00
11
11
00
01
11
01
00
01
11
11
00
01
10
11
00
00
01
00
00
10
00
10
10
00
10
10
00
11
10
10
00
01
10
01
01
00
01
10
11
10
00
01
01
10
10
10
00
10
10
00
01
11
10
00
00
11
01
10
00
00
00
11
10
00
00
01
11
00
01
10
01
10
11
00
00
10
11
00
00
10
01
00
10
00
01
10
10
01
10
11
01
11
01
00
11
10
10
01
10
10
00
00
10
10
00
01
00
01
10
10
00
00
00
00
10
10
10
00
10
10
10
00
00
11
10
10
00
00
10
10
01
10
00
10
10
00
11
00
11
10
00
11
00
01
01
10
00
00
10
10
00
10
10
00
00
00
00
10
00
01
00
00
10
10
01
00
10
01
11
11
01
01
01
01
11
10
10
11
10
00
01
00
00
10
00
10
10
00
10
10
10
10
00
00
00
00
00
11
00
11
00
01
10
00
11
11
11
00
01
10
00
10
00
01
10
01
01
10
10
00
10
10
10
00
10
10
01
11
11
00
10
00
00
00
01
10
10
00
00
00
11
00
01
01
10
00
10
11
00
10
10
00
11
00
01
11
10
11
00
01
00
00
10
00
00
11
10
01
11
00
10
10
01
10
10
01
10
00
11
00
00
11
01
01
10
10
10
11
10
11
10
00
10
11
00
00
01
10
00
01
10
00
11
10
00
11
01
11
00
11
00
01
00
10
10
01
10
00
01
11
10
00
11
00
00
10
00
01
10
00
01
11
10
10
01
00
10
00
00
11
11
01
00
00
11
10
00
00
10
10
01
01
10
11
11
00
00
00
01
00
11
10
11
10
11
11
01
00
10
01
00
00
11
10
00
00
00
11
10
00
10
00
00
10
00
00
01
00
11
00
01
00
00
10
01
00
10
10
11
10
01
00
00
11
10
00
11
10
11
00
00
00
00
10
01
01
10
10
10
10
11
00
00
10
10
00
01
00
11
00
00
01
00
00
11
10
11
01
00
10
01
00
10
10
01
01
00
00
10
10
00
10
11
10
01
00
11
00
00
11
10
11
00
01
10
01
10
00
01
10
00
00
10
01
11
10
00
01
00
11
01
10
11
00
01
11
01
00
10
10
00
10
10
00
00
11
10
01
11
00
10
00
10
10
00
01
10
01
00
11
10
00
10
01
01
10
11
01
00
10
00
11
10
10
11
00
00
00
11
10
11
00
00
01
11
11
10
10
00
00
10
00
00
10
11
00
00
10
11
00
10
01
10
10
00
00
10
10
01
10
11
00
00
10
10
00
00
01
11
01
10
00
10
10
10
10
11
01
10
00
01
10
00
00
00
00
11
00
11
01
00
00
00
11
10
00
00
00
00
11
01
01
01
11
10
01
10
01
11
11
01
00
01
11
11
00
10
10
01
11
10
00
00
10
10
00
10
10
10
11
11
01
10
11
00
00
00
10
10
10
00
00
00
00
11
00
10
01
10
10
10
10
11
00
00
00
01
10
10
00
10
11
00
00
00
11
10
01
11
10
10
11
11
00
11
00
10
00
10
10
11
01
00
10
11
00
00
10
01
01
00
11
10
10
00
00
10
00
01
10
10
10
01
10
11
10
00
10
01
00
00
00
10
10
10
10
01
01
01
00
00
10
10
00
11
00
00
10
10
10
01
10
10
00
11
10
10
00
00
01
01
10
10
00
01
10
10
00
00
11
10
01
10
10
01
11
10
00
10
10
10
00
00
10
10
10
00
00
00
10
10
00
01
10
00
00
10
10
00
10
01
00
10
11
00
00
11
01
01
11
11
11
01
00
11
11
00
11
01
00
10
00
00
00
10
00
00
00
00
01
00
10
10
10
10
00
00
10
10
00
00
00
10
10
10
00
10
01
10
01
10
10
10
00
00
10
10
00
10
10
00
10
11
00
01
00
00
00
01
00
01
00
00
00
10
00
10
00
00
00
11
11
10
00
00
11
10
01
01
10
00
11
01
00
01
11
11
00
01
01
10
00
10
01
01
10
11
11
11
11
10
00
01
11
01
10
10
01
00
01
11
10
00
00
11
10
10
00
10
01
00
10
10
10
10
00
10
01
00
11
11
10
11
00
10
10
11
00
11
11
00
00
11
00
11
00
10
11
00
11
00
01
10
11
00
00
01
11
00
10
11
00
11
00
10
11
11
11
10
00
00
11
10
01
01
11
10
00
00
00
00
10
10
00
11
10
11
10
10
01
11
01
11
00
01
00
00
01
00
11
11
10
11
00
01
00
10
10
00
11
00
01
10
10
10
00
01
10
10
01
01
10
00
00
10
11
10
00
00
00
10
00
10
10
00
10
01
00
01
10
10
00
10
11
10
00
01
10
10
11
00
00
11
00
00
10
10
10
00
01
10
00
11
00
00
10
00
00
00
10
11
10
01
00
01
00
00
10
10
11
00
10
00
00
10
11
00
00
00
11
10
00
00
10
10
10
10
01
01
11
00
00
00
01
11
01
00
10
11
01
01
01
01
10
11
10
10
00
01
10
11
00
10
00
10
01
10
11
00
10
10
00
01
00
00
11
01
00
00
10
10
01
10
00
01
00
10
00
01
10
10
10
01
10
10
11
01
00
11
01
00
01
11
11
11
00
00
10
00
00
10
10
00
01
10
00
11
00
01
10
10
11
10
01
10
01
11
00
11
01
11
11
00
00
00
00
11
11
01
01
10
00
00
10
00
00
10
00
00
01
00
10
11
10
10
10
00
00
11
10
10
00
10
10
10
00
10
00
10
10
00
10
11
10
10
11
01
00
00
01
10
11
00
10
00
00
00
00
00
10
10
10
00
00
00
10
11
10
01
10
11
10
10
11
00
11
10
00
00
00
10
01
01
10
00
11
00
10
01
01
11
10
01
00
10
01
00
10
10
10
01
00
10
10
10
10
10
01
00
00
10
01
00
11
10
10
00
10
11
00
01
10
10
00
00
00
00
00
11
10
10
00
01
11
00
10
00
11
00
01
00
11
00
01
01
11
11
01
01
00
10
10
00
11
11
00
00
00
11
00
11
10
10
11
00
00
11
01
01
00
10
10
01
00
10
00
00
01
01
00
01
00
10
10
10
10
11
00
01
10
01
10
11
10
10
10
00
00
10
10
01
00
10
10
11
10
00
10
00
00
10
00
10
00
11
11
01
01
00
10
01
10
00
00
10
10
00
00
00
10
00
00
00
10
11
00
10
10
00
01
00
10
00
10
00
10
01
00
10
10
00
01
11
11
11
10
11
00
11
00
10
10
00
01
00
10
10
10
01
10
10
01
10
10
00
10
01
01
10
11
11
10
10
10
00
01
00
11
10
10
00
00
10
00
00
10
11
11
00
10
00
10
11
00
00
00
00
10
00
10
10
10
10
11
00
11
00
10
00
00
01
10
10
10
00
01
01
01
00
10
11
10
00
10
00
01
10
11
10
01
10
11
10
00
00
10
10
10
10
01
10
01
11
01
00
00
10
11
10
01
00
00
10
10
11
00
01
10
10
10
00
11
10
10
01
10
11
10
10
11
00
00
01
10
10
01
00
10
10
01
00
00
00
10
00
01
00
00
10
10
11
01
00
10
01
01
10
00
00
10
10
00
10
10
00
11
11
00
01
10
10
11
00
10
01
00
00
01
10
11
10
10
00
11
00
01
10
01
00
10
00
10
01
10
01
11
11
00
00
11
00
01
10
01
00
11
10
10
00
00
01
10
11
00
11
01
11
11
10
00
00
10
11
00
00
10
10
00
00
11
00
00
01
00
11
00
11
00
11
00
01
11
10
01
11
10
01
01
10
11
00
00
10
01
01
10
01
00
01
10
00
00
10
10
10
10
11
11
01
10
10
00
00
10
10
00
01
00
00
10
10
10
00
00
10
10
00
01
10
00
00
10
10
10
00
10
00
01
10
00
00
10
00
11
01
00
00
00
10
00
10
10
00
10
10
10
11
11
00
01
00
01
01
00
10
11
00
00
10
10
01
01
01
10
00
01
01
01
01
11
10
11
00
10
10
00
00
10
01
00
10
01
10
00
00
10
00
00
01
10
10
10
11
10
01
00
10
00
00
00
01
11
11
00
10
00
01
00
11
00
00
00
10
00
10
10
00
11
00
00
00
10
00
01
01
10
10
10
10
01
00
10
00
00
00
11
10
00
00
00
11
00
01
00
10
11
00
01
10
10
00
10
01
10
00
00
10
00
11
00
01
10
10
10
01
11
10
01
10
11
10
00
00
11
10
00
01
10
10
11
00
11
00
01
00
01
01
10
11
00
01
10
11
01
10
01
00
10
10
00
01
10
00
01
00
10
00
10
11
10
01
11
10
10
10
11
01
11
10
00
01
00
10
00
11
10
10
00
10
00
01
11
00
10
10
00
01
00
10
10
10
01
11
00
00
10
11
10
00
00
01
10
11
01
10
00
10
10
11
10
00
00
10
11
00
10
01
10
01
10
00
01
00
11
10
10
01
10
10
01
00
11
10
11
10
11
10
00
10
11
10
11
00
00
00
11
10
10
11
10
01
00
00
11
10
10
00
01
10
00
00
10
00
01
10
00
01
11
10
10
01
00
11
11
01
10
00
01
11
00
00
01
10
01
11
10
01
00
01
10
00
00
00
11
10
11
00
10
11
10
00
10
11
00
10
10
00
01
10
11
10
00
01
10
10
01
11
11
01
10
00
00
11
00
00
11
00
00
11
10
10
11
10
10
10
10
10
00
00
00
10
00
00
11
00
00
01
11
00
00
10
01
10
01
01
00
10
01
00
11
01
00
00
10
01
10
11
01
10
11
00
00
00
01
10
11
11
00
10
10
10
11
00
11
10
00
00
00
10
00
00
10
11
01
00
01
10
00
10
11
10
00
00
10
00
10
10
00
00
10
01
11
10
10
00
10
10
01
00
01
11
10
10
00
10
01
00
10
00
10
10
10
00
10
00
11
10
01
00
01
00
11
01
00
10
11
00
01
10
10
10
10
10
10
01
00
01
01
00
00
00
11
00
01
00
11
11
00
10
11
00
00
00
10
00
01
11
00
10
10
10
11
01
10
10
00
01
00
10
10
10
00
11
01
10
00
00
00
00
11
11
00
00
11
11
00
00
00
00
00
01
10
10
00
01
00
11
01
11
00
10
10
10
10
00
00
10
11
01
00
11
01
11
01
11
01
01
01
11
00
11
00
11
11
01
11
11
11
10
00
11
10
01
00
01
11
01
11
11
10
00
10
10
10
00
01
10
11
00
11
11
11
01
00
01
11
10
10
00
00
10
11
01
10
10
10
10
00
00
00
10
00
10
01
00
11
01
00
10
10
00
00
01
10
11
10
11
00
00
00
10
11
01
01
11
11
11
00
00
10
10
00
00
01
10
10
00
00
01
11
11
10
10
00
10
00
01
10
11
10
01
11
10
01
00
00
01
00
00
11
01
00
01
00
10
10
00
10
10
11
00
11
10
10
10
00
00
11
00
01
00
00
11
10
00
01
10
10
00
10
10
10
11
01
10
00
00
00
00
10
10
00
11
00
11
00
10
00
10
10
01
00
11
11
10
10
11
10
00
10
10
00
10
10
01
01
00
00
10
11
00
01
00
10
00
10
10
10
01
00
01
00
11
01
00
11
10
10
00
00
10
10
11
00
01
10
00
01
11
00
00
10
00
00
00
00
10
11
00
10
00
00
11
10
01
10
00
10
10
10
00
10
00
11
11
01
10
11
01
01
11
00
00
10
00
10
00
00
10
01
00
10
00
01
10
00
10
10
00
00
01
00
01
11
10
01
10
01
01
00
00
10
11
01
01
10
10
00
00
11
10
00
01
10
10
01
11
10
00
11
01
11
10
00
00
00
11
10
00
00
01
10
10
00
00
01
01
11
10
00
00
00
00
10
10
00
00
10
10
00
01
10
11
10
00
01
10
00
01
10
10
01
00
11
10
00
00
10
01
01
00
11
01
00
11
00
10
11
00
00
00
00
10
11
11
10
00
00
10
10
00
00
10
00
11
11
01
00
11
10
00
11
10
11
00
11
00
11
10
11
00
00
11
11
00
01
01
11
11
00
00
01
10
10
10
01
00
00
01
10
10
01
00
01
10
10
00
10
10
01
00
11
01
10
00
10
00
10
00
00
11
00
01
00
10
10
10
00
00
00
00
10
00
10
00
01
10
11
10
00
10
10
11
01
10
11
10
11
00
10
00
10
00
00
01
10
10
10
10
10
11
00
00
00
10
11
01
11
01
00
11
11
11
01
00
11
11
01
00
10
11
01
10
00
11
11
00
11
10
00
00
11
00
01
10
11
10
10
10
11
01
00
10
00
00
10
00
10
10
00
01
00
10
01
00
00
10
11
00
10
11
10
11
10
01
00
00
11
10
10
00
10
10
00
00
10
10
10
01
01
01
00
00
01
00
00
00
10
00
10
10
00
10
01
01
10
01
10
10
10
00
10
00
01
00
10
11
10
10
00
01
10
11
10
00
00
00
01
00
01
10
00
10
00
00
10
10
00
10
00
00
11
00
10
11
00
10
11
11
00
11
11
00
01
10
01
00
01
10
10
11
01
11
10
10
10
00
10
10
00
00
10
11
10
11
10
11
10
11
01
01
10
10
10
00
10
10
00
00
00
10
11
11
11
11
01
10
10
10
10
01
00
00
00
01
00
00
00
11
10
01
01
11
10
11
01
10
10
00
11
01
11
10
00
10
00
10
11
00
11
10
01
00
01
01
10
00
00
10
11
10
00
01
00
11
10
01
10
00
00
10
00
00
00
11
01
01
10
10
01
10
11
01
11
00
00
10
10
10
00
11
10
10
01
01
00
01
00
10
10
00
10
11
01
01
10
10
01
01
00
01
00
10
00
00
10
10
10
01
00
11
11
00
10
01
01
00
00
11
00
11
11
00
10
10
00
11
10
01
10
10
01
10
00
01
00
10
10
00
11
11
00
01
10
01
01
10
01
11
11
00
00
10
11
10
01
11
10
00
11
10
10
11
00
00
10
01
10
10
00
01
00
10
01
00
00
11
00
00
11
00
00
10
11
00
10
00
11
11
00
10
11
00
10
10
10
01
11
00
01
01
00
10
00
01
11
00
10
10
01
10
00
00
11
10
10
01
11
00
00
01
10
10
00
00
00
01
00
10
10
00
00
10
10
00
00
10
10
01
00
10
01
11
10
10
10
10
00
00
10
00
10
00
00
00
11
00
01
01
00
10
10
10
00
11
10
00
00
11
01
01
00
10
00
10
11
01
10
00
10
00
10
01
00
11
00
01
10
10
01
10
11
10
00
01
01
00
10
00
00
00
00
10
10
11
10
11
11
00
10
10
10
00
00
11
11
11
01
10
01
00
00
01
10
11
10
00
00
01
00
10
10
00
00
10
01
11
01
11
10
11
10
01
00
11
11
00
10
11
10
01
00
11
00
01
10
11
10
00
01
00
01
10
10
00
10
10
01
00
11
01
11
00
00
01
11
10
01
00
11
00
00
00
00
10
10
10
01
00
01
10
10
01
11
11
10
11
00
01
11
00
00
10
10
11
10
00
00
10
10
10
11
11
10
00
10
11
11
10
11
01
10
01
01
10
11
00
00
10
10
00
10
11
11
00
01
00
10
10
01
00
00
00
10
10
00
00
11
00
10
10
00
01
11
10
00
10
10
00
10
00
10
01
10
11
00
00
00
10
11
01
10
10
10
00
10
00
01
00
00
00
01
11
11
10
11
00
01
11
10
00
01
10
10
00
00
10
10
00
01
10
10
00
10
10
00
10
11
10
00
10
00
10
10
00
00
00
11
00
00
11
11
00
10
11
00
01
11
00
01
11
10
00
01
01
10
00
01
10
00
01
10
10
10
00
11
01
10
11
10
01
00
01
00
10
11
00
00
00
00
10
01
11
11
11
11
10
00
00
10
01
10
10
01
00
00
11
00
10
00
00
11
10
00
00
11
00
01
01
00
00
10
10
00
01
10
11
10
11
10
10
00
00
00
10
01
11
00
01
11
01
10
10
00
10
00
00
11
10
10
11
10
11
10
00
10
00
00
00
00
10
01
10
10
00
11
01
10
01
00
01
00
10
11
11
00
10
00
00
11
11
11
01
10
10
00
00
10
10
00
11
00
01
10
00
10
10
01
00
10
10
11
10
10
00
10
00
00
11
00
00
01
01
00
00
01
00
11
00
01
10
10
01
00
11
10
01
00
10
10
11
00
00
10
00
10
01
10
10
10
00
10
00
10
10
01
01
10
11
00
00
11
10
00
10
11
10
10
11
00
00
11
10
00
00
10
11
01
00
11
00
01
00
11
11
00
10
10
00
00
10
01
00
11
01
10
01
00
10
10
10
00
11
00
00
10
00
01
00
11
11
10
00
00
00
10
01
00
11
00
00
10
00
00
01
11
11
01
01
00
10
10
00
00
10
00
00
10
00
00
01
10
00
00
10
11
00
11
10
10
10
10
00
01
00
00
11
10
01
10
00
01
00
11
10
11
00
00
01
10
00
00
10
00
11
11
01
10
11
00
10
11
00
00
10
00
00
00
10
00
00
10
00
00
00
11
00
01
10
11
00
01
11
10
10
00
10
11
10
10
10
00
11
00
01
01
11
00
01
10
10
00
01
10
10
00
00
11
10
01
00
10
10
01
00
10
00
00
10
01
00
00
11
10
00
11
10
00
00
10
10
00
00
00
01
00
00
10
00
10
00
01
00
00
10
11
00
00
00
11
00
10
00
01
10
00
00
01
11
10
10
10
00
00
01
11
11
11
10
00
01
11
01
00
10
10
11
11
01
11
00
11
11
01
10
10
00
00
10
10
10
01
11
10
10
10
01
00
10
10
10
01
11
01
00
01
10
10
10
00
00
10
00
01
01
10
10
10
00
00
10
11
10
10
11
00
01
10
01
00
11
00
10
00
00
00
10
10
01
10
11
01
00
10
00
00
11
10
00
10
00
11
10
00
00
11
10
01
01
11
01
01
11
00
10
11
10
10
00
01
10
10
10
00
10
01
10
11
10
10
00
11
11
10
00
00
10
10
10
11
01
00
11
10
10
01
01
10
01
00
00
00
01
10
10
00
00
00
10
10
01
00
10
10
11
11
11
00
10
01
10
10
00
00
00
01
00
10
00
00
00
00
01
00
11
10
01
10
01
01
10
01
11
11
01
10
00
00
11
10
10
01
11
10
01
10
00
00
10
00
01
00
10
01
00
00
10
00
00
11
00
10
10
11
10
00
10
10
00
00
10
10
10
00
00
00
10
11
01
11
11
00
10
01
00
11
01
10
01
01
10
10
11
10
10
01
00
11
10
00
01
01
10
10
10
00
00
01
10
00
00
01
10
00
01
10
00
10
11
00
10
01
10
00
00
00
00
11
10
00
10
00
01
11
11
00
00
11
10
10
10
00
01
10
10
10
00
00
11
00
01
10
11
10
01
00
10
10
10
00
11
00
01
01
00
00
10
10
00
11
10
00
10
11
00
01
00
11
00
01
10
00
10
10
10
01
00
01
10
10
00
11
10
11
00
00
10
11
11
01
10
10
01
00
00
00
10
10
01
01
00
01
00
10
10
11
10
10
10
00
10
00
10
11
01
10
01
11
00
10
11
01
11
01
00
11
10
10
11
11
00
00
00
11
00
00
10
10
00
01
00
11
10
01
10
10
10
10
00
10
10
00
10
00
00
01
00
00
00
01
10
10
00
01
00
00
00
10
00
10
01
10
11
01
10
10
00
01
10
10
01
00
10
00
10
01
10
11
00
11
10
00
11
10
00
00
01
11
10
10
11
10
01
00
10
11
00
00
10
11
11
10
10
00
10
10
10
00
00
11
00
01
10
00
00
10
11
11
01
01
10
01
00
01
10
11
00
01
11
10
11
01
10
10
11
01
10
11
10
01
00
11
00
00
11
10
01
01
01
10
10
00
10
00
00
11
10
01
00
10
10
10
01
00
00
10
00
10
11
10
01
01
11
11
10
10
11
00
00
00
11
10
00
00
10
00
00
10
01
00
10
10
10
01
00
00
10
10
01
00
01
10
10
00
10
10
10
10
00
00
11
01
10
10
11
10
00
01
10
00
00
00
10
00
00
11
01
00
00
10
00
00
10
10
10
01
00
00
00
01
10
10
00
11
10
01
00
01
00
01
00
11
10
01
01
10
01
00
01
10
10
01
10
01
10
10
00
01
00
11
10
00
11
10
10
10
01
00
11
00
01
10
10
00
10
00
00
01
10
00
00
10
10
10
00
10
11
00
00
00
10
00
00
11
10
00
00
01
10
11
01
00
11
00
00
10
11
00
10
10
11
11
01
10
10
00
10
01
00
01
00
11
01
10
10
10
10
00
10
00
00
10
00
00
11
10
11
01
10
00
00
00
00
00
10
10
00
00
00
01
10
00
01
00
10
00
00
11
01
00
10
10
01
11
00
00
10
00
00
01
10
00
00
10
10
10
11
10
11
00
10
00
00
00
01
10
00
10
10
10
00
10
00
10
10
01
00
11
00
10
10
01
01
10
01
00
00
11
10
10
00
00
00
01
11
11
00
11
00
11
11
01
10
11
10
10
11
00
00
01
00
10
11
01
01
11
10
00
10
11
10
10
01
01
00
11
01
01
00
00
10
11
00
11
11
00
00
01
00
10
11
01
10
10
10
10
00
00
11
00
01
11
00
10
00
10
00
01
10
00
11
01
00
00
00
10
01
11
10
00
00
10
00
01
10
10
10
01
00
10
00
00
11
10
10
01
01
00
10
11
00
01
11
11
00
10
11
00
00
10
01
10
10
01
10
10
01
00
00
01
00
00
01
10
10
10
10
10
01
00
11
00
10
01
10
01
01
00
10
00
01
11
10
01
10
10
01
10
01
01
00
10
10
10
10
00
10
11
00
11
00
10
01
10
10
01
00
10
11
01
11
10
10
00
00
00
00
10
10
00
00
10
00
00
10
01
10
10
00
10
01
10
00
01
10
00
00
00
10
00
10
00
01
00
10
00
10
10
00
01
00
01
11
01
10
01
00
01
10
11
01
10
11
00
10
10
00
00
11
10
00
01
10
10
01
01
10
10
10
10
10
01
10
00
01
10
00
10
00
00
10
10
01
01
11
00
11
00
01
10
00
00
10
10
10
00
11
00
00
00
01
00
00
10
10
00
10
00
10
10
01
00
10
01
10
10
00
00
10
01
00
10
10
00
10
10
01
10
00
11
00
10
01
00
10
11
00
00
00
00
11
00
11
10
11
10
00
11
10
10
00
00
10
10
10
00
00
01
01
11
10
00
10
01
10
10
00
10
10
10
01
00
10
10
11
11
00
11
10
00
11
10
00
10
01
00
10
10
10
00
10
10
00
01
00
10
01
10
10
00
01
10
00
10
01
10
11
00
01
11
10
01
10
00
01
00
11
00
10
10
10
10
00
00
10
01
11
00
00
01
10
00
01
11
11
00
00
00
01
00
01
00
10
10
11
10
10
11
01
01
11
00
00
10
10
00
00
10
10
10
00
10
00
01
11
10
00
10
10
11
00
01
10
01
10
10
10
00
10
00
10
10
10
10
00
10
10
10
01
10
01
01
10
00
00
10
01
10
10
11
01
10
10
01
00
00
10
10
00
00
01
10
11
01
10
10
10
01
01
10
01
00
10
00
00
00
01
10
11
01
10
11
11
01
00
11
10
00
00
10
10
10
10
01
10
00
11
00
10
10
00
10
10
00
00
00
01
00
00
00
10
10
11
00
10
00
10
10
10
10
11
11
00
10
00
11
10
00
00
00
10
10
00
00
00
11
11
10
01
10
01
11
00
11
11
01
01
11
10
11
01
01
10
10
00
00
11
11
11
00
10
10
00
10
11
01
01
01
10
10
01
01
10
10
01
10
10
01
01
10
00
10
10
01
10
00
01
01
10
10
10
00
10
00
00
11
11
10
00
00
00
10
10
00
10
11
00
01
00
00
00
00
11
10
10
00
00
00
10
11
10
11
00
01
00
01
10
10
10
00
00
10
11
01
11
00
01
00
10
11
11
10
01
11
10
10
01
01
00
01
00
10
10
00
10
11
00
00
01
10
00
11
00
10
00
00
11
01
11
00
01
11
10
11
01
00
11
01
10
00
00
11
10
11
00
01
01
10
10
10
10
00
00
11
11
00
10
00
01
01
10
11
10
01
00
00
10
10
01
00
10
00
10
00
10
11
01
01
10
10
00
11
00
00
00
10
01
01
01
10
10
01
00
00
00
11
11
00
01
00
10
10
10
10
11
01
11
00
00
10
00
00
00
00
11
10
00
10
10
01
11
00
00
10
01
10
10
10
10
01
00
10
01
00
10
00
11
11
01
10
10
10
00
00
10
10
00
11
01
00
11
10
10
10
10
10
00
00
10
00
11
11
11
01
11
00
11
00
00
10
11
10
00
00
11
01
11
11
01
11
01
11
11
01
01
11
10
01
10
00
00
10
10
10
00
00
10
00
00
10
10
00
01
00
01
00
10
00
11
10
01
00
10
01
01
10
11
00
00
01
00
10
10
01
00
00
00
10
11
10
11
00
00
11
10
00
10
10
10
00
10
10
11
00
01
00
11
10
01
11
00
00
10
00
01
01
11
00
01
00
10
11
01
00
10
00
00
11
10
11
10
00
01
11
00
01
10
10
10
11
00
00
11
00
11
10
00
10
00
00
00
10
10
01
00
00
01
00
11
00
11
00
00
11
10
11
01
10
10
10
10
00
00
11
11
10
10
10
11
10
00
01
01
10
10
10
11
10
00
00
10
00
10
10
10
00
00
00
11
00
00
10
10
00
10
10
00
01
10
00
10
10
10
11
11
00
00
10
00
10
11
00
11
01
01
10
00
10
00
01
11
10
11
10
01
00
00
10
10
00
00
00
10
00
10
00
10
10
10
01
01
10
00
10
00
01
10
10
10
11
00
00
00
10
00
00
11
10
00
01
10
10
10
10
00
10
00
00
10
10
10
11
10
00
10
00
10
10
10
00
10
11
10
00
11
00
01
10
11
10
11
00
01
00
10
11
00
10
00
00
10
11
00
00
10
10
01
00
00
11
10
10
01
11
11
00
00
01
10
00
01
00
11
00
00
10
11
10
10
10
01
01
11
10
00
01
11
01
00
10
11
10
00
01
00
11
10
00
00
00
10
10
11
00
01
00
01
10
10
00
01
10
10
10
00
00
00
10
10
11
01
00
00
00
10
00
01
11
10
01
00
00
00
10
00
00
00
10
00
00
10
01
10
00
00
11
11
10
11
11
00
10
01
00
11
10
00
10
00
00
00
00
10
11
01
00
10
10
00
00
00
11
00
00
11
00
00
10
11
10
00
10
11
01
00
11
11
00
01
10
00
10
10
00
10
11
00
00
01
00
10
00
00
10
00
00
10
10
00
01
01
01
00
10
10
10
10
11
00
01
10
10
10
10
10
00
10
10
00
10
00
10
10
01
01
00
01
01
11
11
00
10
00
01
10
00
10
10
00
11
00
01
01
00
01
10
10
01
00
11
00
00
10
10
00
00
00
10
00
00
11
10
00
10
11
10
01
11
01
00
11
00
10
10
11
00
00
11
01
00
00
10
10
11
11
01
10
10
10
10
00
00
10
00
01
00
00
10
00
10
10
11
10
10
11
00
11
01
01
11
00
10
11
00
11
10
10
00
01
00
00
01
00
01
10
00
00
01
01
11
00
01
10
00
00
10
10
10
00
00
11
00
11
10
10
01
10
10
10
00
00
10
01
00
00
11
00
10
00
11
10
10
00
00
10
00
10
10
10
01
00
00
01
11
01
11
10
10
00
00
10
00
01
11
11
00
01
00
00
00
10
11
00
10
00
10
10
10
00
00
10
00
10
10
00
01
10
00
00
11
01
11
10
00
11
00
10
10
10
10
00
00
11
11
00
01
11
00
11
11
00
10
10
01
00
00
11
10
11
01
11
00
01
00
11
10
00
10
10
00
01
00
10
11
10
11
00
10
10
00
01
00
10
10
10
00
01
10
11
00
10
10
11
00
00
01
10
11
10
11
00
01
01
00
00
10
00
01
10
11
11
00
01
10
01
00
11
10
10
00
01
10
11
01
01
10
11
00
01
01
10
11
00
01
11
10
00
00
10
01
10
10
10
11
00
01
10
10
00
00
10
10
01
00
11
11
00
00
00
10
11
11
00
00
01
11
00
00
11
00
10
11
11
00
00
11
11
11
11
11
00
00
11
00
01
01
11
10
00
00
00
10
10
00
00
00
00
11
11
10
00
10
00
10
11
00
01
01
01
11
10
11
10
00
00
00
00
10
11
00
11
00
10
00
00
00
10
10
01
10
10
00
00
01
01
00
10
11
10
10
00
00
10
00
10
10
00
01
00
00
01
00
00
00
11
10
00
10
10
10
11
11
11
01
00
00
10
11
10
01
00
10
00
00
01
00
11
10
01
10
00
10
10
01
00
11
01
00
00
00
10
10
11
01
10
00
01
10
01
01
00
11
00
00
00
10
10
00
10
11
10
00
11
01
01
00
10
10
01
01
00
10
10
01
00
10
10
00
00
10
10
10
10
00
00
00
01
00
00
11
01
00
11
10
00
10
11
00
10
01
00
10
10
00
00
10
00
10
00
00
10
00
10
10
10
10
11
00
11
10
11
00
10
11
00
11
11
10
00
00
11
00
10
10
00
11
10
11
10
10
10
01
01
00
11
10
11
10
11
01
10
11
00
00
11
01
01
10
00
10
11
00
01
00
11
10
10
00
00
00
10
00
01
10
10
10
01
01
10
00
10
00
00
01
01
10
00
00
11
11
10
11
10
00
11
10
10
00
00
10
10
00
00
01
10
10
10
10
00
01
11
01
01
10
10
10
10
00
01
10
10
01
11
10
01
01
01
10
10
01
10
00
00
10
00
10
11
00
10
10
01
00
10
10
10
00
01
01
11
00
00
01
01
01
00
00
00
10
11
10
01
01
10
00
00
00
10
10
11
11
00
00
00
00
00
10
10
00
00
00
10
11
00
11
11
11
01
01
10
00
00
00
10
10
01
01
11
10
00
00
10
01
10
10
00
10
11
01
00
11
11
00
00
10
01
11
11
01
10
00
00
10
00
00
00
10
10
10
10
01
00
11
00
10
10
10
00
01
10
10
10
10
11
10
01
10
01
11
00
01
10
01
00
11
10
10
10
00
00
10
10
00
10
11
01
11
01
10
10
00
11
01
10
11
01
11
11
00
01
00
10
00
11
11
00
00
00
10
00
10
10
11
11
10
00
10
00
00
11
11
00
00
00
00
01
01
01
10
10
10
10
11
10
01
00
10
00
00
11
01
01
01
11
00
00
11
11
01
10
10
10
00
00
10
01
01
11
10
10
00
01
00
10
11
00
01
11
00
00
11
10
00
00
10
11
10
10
01
11
10
00
11
10
11
00
11
10
01
10
10
00
01
01
00
00
00
00
10
10
10
10
00
01
00
00
00
01
01
10
00
10
00
11
00
11
00
00
10
00
00
00
10
10
00
01
00
10
00
01
10
00
10
11
10
11
00
01
11
00
10
10
11
01
10
00
00
01
10
10
10
10
01
10
00
00
11
11
10
10
10
01
00
10
00
00
10
11
01
01
00
10
01
11
10
11
10
01
00
00
00
10
00
11
10
01
10
11
00
00
10
00
10
10
10
01
11
01
00
11
00
10
00
11
00
00
10
10
10
10
11
00
11
00
01
10
10
00
00
10
10
00
00
10
10
10
10
10
00
00
10
00
00
00
10
01
10
00
10
10
01
10
01
00
10
10
00
11
10
11
00
11
01
01
10
00
00
11
01
01
10
10
01
00
10
10
11
00
00
01
00
00
11
00
00
10
10
01
00
11
10
00
11
11
00
11
11
10
01
00
10
00
00
10
10
00
01
00
11
10
00
01
01
10
01
10
10
10
01
00
00
01
10
10
10
10
01
00
01
00
01
00
01
01
11
01
00
00
11
11
00
00
11
00
01
00
00
10
11
10
00
00
10
00
11
00
00
11
11
00
01
10
10
00
01
00
11
10
00
00
11
10
00
11
10
00
00
11
10
11
00
00
10
10
11
11
00
01
10
10
00
00
10
10
00
01
00
10
10
10
00
00
00
00
10
00
10
01
10
10
01
10
00
11
10
11
00
01
10
00
00
11
10
00
00
11
11
11
00
00
10
10
10
11
00
01
10
00
11
11
11
10
00
00
00
01
10
11
00
11
11
10
10
11
10
00
00
11
01
01
00
01
10
00
00
00
00
11
10
01
11
00
10
11
10
10
00
01
00
01
00
11
00
00
10
00
00
10
10
00
10
10
00
11
11
10
00
11
10
11
00
10
00
10
10
00
00
01
00
11
01
10
11
10
11
10
10
01
11
11
00
11
00
10
11
00
10
10
00
01
00
10
10
10
10
00
10
00
10
10
00
10
00
01
10
01
10
10
11
00
10
11
10
10
11
11
00
10
00
00
10
11
11
10
11
01
01
00
00
00
10
10
00
10
10
01
10
01
00
10
00
00
01
00
11
10
10
11
10
00
01
11
10
11
01
11
10
00
01
00
10
11
10
01
01
01
11
01
11
10
00
00
01
10
10
10
01
01
00
10
10
10
10
00
00
00
00
10
00
01
00
00
00
00
10
10
10
11
00
11
00
00
10
00
11
01
00
10
11
00
00
00
11
10
01
00
10
00
00
10
10
01
00
01
00
00
11
11
00
10
10
00
00
00
10
01
01
10
01
00
00
01
10
01
00
11
10
11
10
01
00
00
10
00
00
10
00
10
11
00
01
11
10
10
11
10
10
10
00
01
00
00
10
00
00
10
10
10
00
10
01
00
10
01
11
01
00
00
01
01
11
01
00
11
00
01
00
00
11
11
11
00
00
11
11
11
00
00
00
00
00
10
10
01
00
10
10
10
00
10
00
10
11
01
01
11
01
00
10
00
10
00
01
11
01
10
10
01
00
11
10
00
00
01
10
11
01
10
11
01
10
10
00
11
00
00
10
00
00
00
11
11
11
11
11
00
11
01
00
00
01
11
10
10
00
11
10
00
01
00
10
00
00
11
01
00
10
00
00
00
11
10
10
00
01
00
10
11
01
10
01
00
10
10
10
11
11
00
00
00
00
10
10
00
11
00
00
10
00
01
00
11
01
10
01
00
10
00
11
10
00
10
11
00
01
10
10
00
10
11
00
00
01
00
10
10
00
01
10
01
01
10
00
10
10
00
00
10
10
10
00
00
01
10
10
00
00
10
11
00
00
01
10
11
00
10
11
00
10
10
10
01
11
11
00
00
00
00
10
11
10
10
10
10
00
10
11
01
00
00
11
00
00
00
11
11
01
01
01
10
11
10
00
10
10
00
00
00
10
11
10
00
10
11
00
01
01
01
00
10
01
10
00
01
11
11
01
00
10
00
00
00
00
00
10
10
10
11
10
00
01
11
10
10
11
10
01
00
11
11
00
00
00
00
01
00
00
11
00
10
01
00
11
10
11
00
10
00
01
00
11
11
00
11
10
00
00
00
00
10
00
10
11
00
10
01
01
11
00
00
00
00
10
10
10
00
00
00
10
10
00
11
00
11
10
10
10
10
10
00
10
00
10
10
10
10
00
11
00
11
10
00
00
00
10
10
00
00
00
01
00
10
11
11
11
10
11
01
00
00
11
11
00
00
00
10
01
10
11
00
01
11
01
11
11
10
11
10
10
10
00
01
10
00
00
10
10
01
00
11
10
10
10
11
00
00
00
10
00
01
10
10
00
11
10
10
01
00
00
01
01
11
10
10
01
11
01
11
11
01
00
01
00
00
10
10
00
01
01
11
11
00
11
10
00
10
01
00
10
10
01
00
10
00
10
00
01
01
10
01
00
10
00
10
10
00
00
11
00
00
00
00
10
10
11
10
00
00
11
00
11
11
00
10
01
00
01
11
10
00
00
00
10
01
10
10
00
00
01
10
00
10
10
01
10
10
00
00
00
00
00
00
10
10
11
11
10
01
11
11
00
00
00
11
10
00
10
11
11
01
01
11
10
01
01
00
11
10
00
10
01
00
10
10
10
11
00
00
10
10
00
10
11
01
01
01
10
10
00
01
00
00
10
10
00
00
11
01
01
00
01
10
11
10
00
01
10
00
00
01
11
00
01
11
10
01
10
01
00
10
10
10
11
00
00
10
00
01
10
10
10
00
10
00
00
01
00
11
10
10
01
11
10
00
11
11
00
00
00
00
00
11
01
10
11
10
11
11
10
00
00
10
00
10
10
01
10
10
10
00
10
10
01
00
11
11
10
01
01
10
10
01
00
00
10
11
10
00
01
00
01
11
11
01
00
10
10
11
10
10
00
00
00
11
11
10
10
00
10
00
11
11
00
00
10
01
01
10
11
01
10
01
00
11
01
11
11
00
00
10
10
00
10
01
00
11
11
00
00
00
00
00
10
10
10
01
10
10
01
00
00
10
10
00
01
10
11
00
00
10
00
00
10
11
01
00
00
01
00
11
10
11
00
10
01
00
10
10
01
00
10
00
10
11
00
10
10
00
00
01
11
00
11
10
00
00
00
00
00
10
10
10
11
01
11
11
00
10
00
10
00
11
10
01
10
10
00
10
10
11
00
01
10
11
11
11
10
00
00
10
00
00
10
10
11
00
01
01
10
10
00
10
10
11
00
01
10
00
10
00
01
10
11
00
10
11
00
11
11
00
11
01
10
10
01
00
01
10
11
00
10
00
10
10
00
11
11
10
10
00
00
11
10
00
00
10
10
00
00
11
01
01
00
01
00
10
10
11
10
01
11
11
10
10
00
10
01
00
00
10
10
11
00
01
10
01
01
10
10
10
10
00
11
10
00
10
10
10
00
00
00
10
11
00
01
00
00
00
10
00
00
01
10
11
00
11
10
01
10
11
10
00
10
10
01
00
10
11
10
01
00
01
01
00
00
11
11
10
00
00
00
11
10
00
10
10
10
00
00
11
10
00
11
00
10
11
10
00
10
00
01
10
00
00
00
00
10
10
00
01
11
10
10
00
00
01
11
10
00
01
11
00
00
00
01
00
10
10
01
10
10
00
00
11
00
10
11
00
11
10
11
10
01
10
00
00
10
00
10
10
00
00
00
10
11
01
10
11
11
00
10
10
00
01
11
10
00
00
01
11
01
00
00
11
10
01
10
00
00
10
10
11
10
00
11
01
10
01
00
01
00
00
11
10
01
00
00
11
00
00
00
01
10
10
00
11
10
11
00
00
11
01
00
10
10
00
00
00
11
01
01
10
00
00
10
10
00
10
10
01
10
01
00
11
11
00
11
10
10
01
01
10
10
00
01
10
00
00
10
11
11
00
01
01
10
11
00
11
01
11
10
00
11
01
01
01
11
10
00
00
00
00
10
00
01
10
11
10
11
10
00
00
00
01
10
11
00
11
10
00
01
10
01
01
00
11
10
00
10
01
00
11
10
11
00
00
10
10
10
01
10
10
10
10
11
00
10
00
01
11
00
10
00
11
11
00
11
00
00
01
10
00
10
01
01
10
10
10
00
11
00
01
01
10
11
01
10
11
11
11
10
10
00
01
01
00
10
10
00
10
11
11
00
01
10
01
10
01
01
00
10
11
10
00
10
01
00
00
00
00
01
10
10
01
01
11
00
00
10
00
00
10
10
00
00
01
00
10
11
10
01
01
11
01
10
00
11
00
10
11
10
00
00
00
00
10
00
00
10
10
00
01
10
00
00
10
00
00
00
01
10
10
10
00
00
10
11
10
00
00
00
10
11
10
10
00
10
11
10
10
00
11
10
10
00
10
10
00
10
01
01
10
11
00
11
00
00
00
00
00
01
00
11
10
00
10
10
11
00
01
10
11
10
11
11
00
00
01
10
10
10
00
01
00
01
10
00
00
11
01
00
11
11
10
01
01
00
11
00
00
01
01
10
10
10
00
11
00
00
10
10
01
10
10
01
10
00
10
10
11
10
01
10
00
10
11
10
01
01
10
00
01
10
10
00
00
00
00
11
00
00
10
00
10
00
10
00
00
10
10
10
10
10
11
10
00
11
10
00
10
10
10
00
00
00
11
00
11
11
11
10
00
11
00
00
10
10
00
00
11
10
11
10
10
00
10
01
10
01
00
00
00
10
10
11
01
00
10
01
10
01
11
01
01
01
01
10
10
00
11
10
00
10
00
10
00
00
01
01
00
01
01
11
00
00
10
10
11
11
01
11
10
00
10
01
01
01
00
10
00
10
10
00
00
11
11
01
00
00
01
10
10
00
10
11
00
10
10
00
01
00
10
00
01
10
11
01
00
00
10
00
00
10
01
00
11
11
11
00
00
00
11
00
00
11
11
11
01
01
00
00
10
00
10
11
01
01
10
00
10
01
00
10
01
01
00
11
01
00
10
00
10
11
00
10
11
11
10
10
10
00
00
10
10
00
10
11
00
10
10
10
10
00
00
10
11
11
10
00
10
10
01
01
01
11
10
01
11
00
10
11
00
00
01
00
00
10
10
10
00
10
10
10
01
10
01
10
00
10
00
00
10
10
00
11
01
00
10
10
00
10
10
10
00
00
01
00
01
11
10
00
10
00
01
00
00
10
11
00
00
00
10
11
00
11
10
10
10
00
10
00
11
11
10
10
00
00
10
11
00
01
10
00
00
11
11
11
10
01
10
10
01
00
00
11
00
10
10
10
01
00
11
10
10
00
00
10
10
10
01
01
10
11
10
00
10
00
10
10
10
11
10
11
01
10
01
11
00
11
10
01
01
10
10
10
00
01
11
11
10
10
00
10
00
10
00
00
10
01
10
11
11
10
10
11
00
10
01
00
01
01
10
10
10
00
10
11
10
00
00
00
11
11
00
00
01
10
11
00
00
11
10
01
00
10
11
00
11
10
01
01
11
00
01
01
00
10
10
10
11
00
00
00
10
10
10
10
11
11
01
11
00
10
01
10
01
10
11
01
00
10
10
00
00
10
10
00
00
10
01
10
00
10
10
11
00
10
10
10
01
10
00
00
11
10
11
11
10
01
11
01
00
01
10
10
01
00
10
01
10
11
01
00
01
10
10
10
00
00
01
01
10
10
01
01
10
00
01
11
00
00
00
10
10
11
11
00
01
00
01
11
10
00
00
11
11
11
00
10
10
10
10
00
00
00
01
11
01
00
00
00
00
10
10
01
00
10
11
11
11
10
11
00
11
00
10
10
01
01
01
01
10
01
00
10
10
10
00
10
10
10
11
00
11
10
01
00
00
00
10
10
10
10
01
00
11
11
01
00
00
00
11
01
10
00
00
00
10
10
10
00
00
10
10
11
10
00
01
01
10
10
10
11
01
10
11
00
01
11
00
01
01
00
00
10
00
11
00
11
10
10
00
00
00
01
00
11
00
10
11
10
00
10
11
10
11
11
00
01
10
11
00
01
10
00
00
10
11
10
10
01
00
10
10
01
10
00
00
00
00
10
10
01
00
10
10
00
10
11
10
10
10
11
01
00
01
10
11
11
01
11
11
10
00
00
10
00
00
10
11
11
10
10
11
00
10
00
00
00
10
11
00
10
10
10
00
00
00
00
10
01
10
00
10
01
01
00
11
11
10
00
10
01
00
11
00
01
00
11
00
01
10
10
00
11
10
00
10
11
00
11
00
01
01
00
00
11
10
00
10
00
10
10
00
10
00
11
01
00
11
11
10
10
10
01
00
11
11
11
10
11
10
00
11
10
00
10
11
00
10
01
01
00
10
10
11
10
11
00
10
10
10
00
00
10
10
10
10
00
01
00
00
00
10
00
01
01
10
00
01
11
11
00
00
10
11
11
00
00
11
01
10
11
00
10
10
10
00
11
00
10
10
00
00
11
00
10
01
00
10
11
10
11
10
00
01
11
10
00
10
11
10
01
11
00
10
00
11
01
10
11
10
10
00
00
00
10
00
00
00
10
10
00
01
11
11
00
01
00
00
11
10
11
00
00
11
00
01
10
10
00
00
11
00
10
10
11
10
10
00
01
00
10
01
10
10
10
10
01
11
01
01
10
00
10
00
11
00
10
10
10
11
10
10
00
10
01
01
10
00
01
11
10
10
10
01
00
10
01
10
10
11
11
00
11
00
00
00
10
00
10
11
11
11
00
00
10
00
00
10
11
01
00
01
00
11
10
11
00
10
11
00
10
00
00
11
10
11
10
01
10
00
00
01
10
10
00
00
01
10
10
11
10
00
10
11
00
11
00
01
10
01
10
11
00
00
10
10
00
10
11
01
00
10
00
01
00
00
11
11
01
01
10
10
10
10
11
00
00
00
10
10
01
00
10
11
10
01
00
11
01
01
01
00
10
10
11
10
10
00
01
10
10
00
01
01
10
10
10
00
00
00
11
11
01
00
00
10
11
10
00
10
10
01
11
00
10
10
00
01
00
10
00
00
10
00
10
10
01
10
10
10
10
00
10
11
01
00
10
00
00
00
11
11
10
11
00
11
00
11
01
00
11
10
01
10
01
10
10
00
00
10
10
10
00
01
10
00
00
10
00
01
10
10
10
11
00
00
00
00
10
11
10
01
00
11
10
10
00
10
11
11
10
10
10
11
10
11
01
11
00
00
01
01
10
10
10
11
11
10
00
00
11
01
01
01
11
00
10
10
01
00
11
10
01
10
11
00
10
00
00
10
00
00
10
00
00
00
00
00
11
11
00
00
11
10
10
10
00
11
11
11
01
01
10
00
00
10
10
00
00
10
01
11
10
00
00
00
11
11
00
10
00
00
10
00
01
10
10
10
11
00
10
00
00
00
10
10
10
00
00
11
00
10
10
11
00
00
00
10
11
10
00
00
00
10
01
00
10
01
10
10
00
00
10
01
10
00
10
10
10
10
01
10
00
00
10
01
10
10
10
10
01
00
11
10
10
01
00
11
00
10
11
10
11
00
10
11
11
00
00
00
00
00
10
10
00
00
10
00
11
11
00
10
10
11
00
00
10
10
00
11
00
00
10
01
11
10
11
11
00
01
10
00
01
00
10
00
10
11
01
01
11
10
11
11
10
10
01
00
11
10
01
10
01
10
11
00
01
11
10
10
00
00
10
00
01
10
11
11
11
11
01
01
10
00
10
00
00
10
00
00
11
10
01
01
11
10
10
01
11
11
10
00
11
10
10
00
10
10
00
00
10
00
00
10
10
00
11
11
10
10
11
11
00
01
00
10
01
00
11
10
11
00
00
10
10
01
00
10
11
11
01
00
00
10
01
10
11
00
00
11
10
00
00
10
11
11
10
10
10
11
10
00
00
10
10
00
01
10
11
11
00
10
10
00
10
11
00
01
11
10
00
00
00
10
00
10
11
10
01
11
00
01
11
00
01
11
01
00
01
10
10
00
00
00
10
10
01
11
01
10
10
00
11
10
11
10
01
00
01
01
11
11
01
00
00
10
11
10
00
00
01
10
10
11
11
10
01
00
10
00
00
01
01
10
10
10
01
01
00
11
10
00
01
00
00
10
10
11
11
00
00
00
11
10
00
00
11
10
01
00
00
00
10
01
00
11
10
10
11
01
01
11
10
00
00
00
00
10
01
10
01
00
00
11
10
10
01
00
10
10
00
01
01
10
10
11
11
10
00
00
10
10
00
10
11
00
11
11
00
11
01
10
00
10
10
11
10
00
11
01
00
00
10
10
00
01
10
00
00
10
01
00
01
00
00
10
01
01
11
01
00
10
10
00
11
10
00
00
00
10
10
00
10
10
00
00
00
10
01
10
00
11
10
00
00
00
10
10
00
11
10
10
00
10
11
00
01
10
00
11
11
00
00
00
10
01
00
01
01
10
10
01
10
10
00
00
10
11
10
01
10
01
00
00
10
01
11
10
01
00
01
10
00
00
00
10
10
10
11
11
11
11
01
11
10
10
00
11
11
00
01
11
11
10
10
10
10
00
10
00
00
10
11
10
01
10
11
00
11
00
11
10
01
10
10
10
01
01
11
00
00
10
00
01
10
10
00
00
10
10
10
00
10
00
00
00
00
00
10
01
10
01
10
11
10
00
00
00
10
10
00
00
00
10
00
11
10
00
01
10
10
10
10
11
11
00
00
01
10
10
10
11
01
00
00
01
00
11
01
10
11
00
00
00
01
11
10
01
00
00
00
10
10
01
11
00
10
01
01
11
10
10
00
10
11
10
00
00
10
00
10
10
00
10
11
10
00
11
10
00
00
10
10
11
00
01
10
00
00
00
10
10
11
00
00
00
11
00
00
10
10
01
01
01
11
00
01
10
00
10
00
00
11
11
10
11
00
00
11
01
10
00
00
11
01
10
11
11
01
00
00
10
10
00
00
10
10
10
00
10
00
11
01
01
00
10
10
00
00
00
10
11
01
00
00
10
00
00
11
10
01
10
10
00
00
00
10
10
00
00
00
11
01
01
11
10
10
00
10
01
01
10
11
00
00
10
10
00
00
00
10
00
00
00
11
01
10
00
10
10
01
10
10
00
11
01
01
01
10
10
00
00
10
11
00
00
00
11
01
10
00
00
11
10
10
00
11
10
11
11
00
01
11
01
00
00
10
00
00
10
10
01
11
00
00
11
00
00
11
11
00
00
11
10
00
01
01
10
10
11
11
10
10
00
00
00
11
00
00
00
01
00
00
10
11
00
00
11
01
10
11
01
10
00
10
11
01
00
00
00
10
10
10
01
11
10
01
11
00
01
10
10
10
10
00
11
00
00
10
01
00
11
00
00
10
10
00
00
00
01
01
00
10
00
11
10
01
10
11
11
00
10
01
00
01
01
10
10
10
01
10
01
11
00
11
10
00
10
00
00
00
01
00
11
00
00
10
00
10
10
01
10
00
00
10
10
01
00
10
00
11
00
10
00
10
01
00
10
00
00
00
10
11
11
10
01
00
00
10
10
10
10
00
01
00
10
10
10
10
00
11
00
01
01
01
11
01
01
10
01
01
10
01
10
10
00
00
00
01
00
11
10
01
11
10
01
10
11
10
00
01
01
11
11
10
00
10
01
11
11
00
01
11
10
00
11
00
01
01
10
01
11
11
00
11
11
00
01
10
10
10
11
00
10
10
00
10
00
11
00
11
00
01
00
10
10
00
11
10
10
00
10
10
00
10
01
10
10
10
10
00
00
00
00
10
10
00
00
01
00
10
00
00
00
01
11
11
10
10
01
10
10
00
00
10
10
00
00
01
11
10
11
00
11
10
11
00
00
10
10
10
00
00
11
00
01
01
10
11
11
01
01
10
10
11
11
00
10
10
00
11
01
00
11
00
00
11
10
10
00
01
11
00
00
01
10
10
10
10
01
00
00
00
10
00
00
10
11
01
11
10
00
01
11
00
00
10
10
10
10
00
00
10
10
00
10
10
00
10
00
10
01
10
01
01
10
00
00
10
10
01
11
00
00
01
00
00
10
10
00
10
00
01
00
10
00
11
10
11
00
01
00
10
01
11
10
01
01
10
10
10
10
01
10
10
01
00
10
10
11
11
11
01
00
00
10
01
10
11
10
00
00
00
10
01
00
10
10
11
10
10
11
10
11
00
00
01
01
00
10
01
00
11
10
00
01
10
11
11
00
10
11
01
11
10
00
00
01
11
11
11
10
00
00
01
10
11
00
11
10
01
10
00
11
11
11
11
01
01
11
11
11
11
00
01
01
10
01
11
10
11
00
00
11
00
00
11
10
10
01
10
10
00
00
10
01
01
00
11
00
10
10
00
10
00
00
10
10
00
00
11
00
00
01
10
10
00
00
10
10
01
01
11
10
10
00
00
11
10
00
00
11
10
01
01
01
00
00
00
10
00
01
10
10
00
01
10
11
00
00
01
10
11
00
10
11
10
01
01
10
11
10
11
10
00
01
00
10
10
11
00
10
00
01
00
11
11
00
10
10
00
01
00
10
10
10
01
00
10
00
11
00
00
11
10
10
01
10
11
10
10
01
10
10
10
10
00
10
00
00
00
01
01
11
10
10
10
01
00
10
10
00
10
10
10
10
10
10
00
01
10
01
00
01
10
00
00
11
00
10
10
00
10
01
11
01
00
10
11
00
11
01
00
11
00
01
10
10
10
10
11
01
01
01
10
10
00
10
00
00
11
01
01
10
00
10
01
00
10
10
01
01
00
10
10
01
00
00
00
10
10
10
01
00
11
00
11
10
11
10
00
10
11
01
00
10
10
00
00
11
10
00
00
10
00
11
11
01
11
01
10
10
00
00
10
10
01
00
00
00
01
11
10
11
11
01
01
10
10
00
01
10
00
01
11
10
00
10
00
10
00
01
00
00
10
00
10
11
00
00
00
00
10
01
10
10
01
00
10
00
00
10
10
10
00
00
10
10
10
10
00
00
10
11
00
11
10
10
00
01
10
01
00
11
00
00
10
00
00
10
11
01
00
11
00
00
10
00
00
10
00
00
01
01
00
11
11
00
10
10
10
01
10
01
00
00
10
10
10
11
01
00
10
00
11
11
10
10
11
11
01
00
11
00
10
10
01
10
01
00
11
10
10
11
00
00
10
00
01
00
01
10
01
10
10
01
10
00
10
00
00
10
00
01
10
10
11
10
00
10
00
01
11
00
01
00
01
00
10
10
11
10
10
00
00
10
01
00
11
11
10
01
10
10
01
00
00
00
11
10
10
00
11
00
11
10
00
01
10
11
00
10
10
10
00
00
00
10
00
00
10
11
10
00
00
00
11
01
10
10
01
01
10
10
01
00
10
00
00
10
01
11
11
11
10
11
10
00
01
10
01
01
01
11
01
00
10
00
01
11
10
01
00
10
00
00
11
00
01
11
10
01
11
10
01
00
10
10
00
00
10
11
00
00
00
01
10
10
01
00
11
10
00
00
10
01
00
10
00
01
10
11
00
10
10
00
10
01
00
00
10
11
10
11
11
11
00
10
01
01
10
00
10
10
00
10
00
01
10
01
00
10
10
00
10
10
10
11
10
00
00
01
01
11
01
00
10
10
01
10
10
00
01
10
10
11
00
11
10
11
10
00
10
01
01
11
10
11
00
01
00
00
01
11
01
10
00
00
00
10
10
10
00
00
10
10
00
11
10
00
10
00
00
10
10
00
10
00
11
00
00
00
00
00
10
01
11
10
00
11
00
11
10
00
00
00
00
01
10
11
00
11
01
01
10
00
01
10
11
00
01
00
01
10
11
01
00
10
10
10
11
01
11
00
00
10
00
10
10
10
00
11
11
00
10
10
10
00
10
00
00
00
11
11
00
00
10
11
10
00
00
10
10
00
10
10
01
01
01
10
10
11
11
00
00
11
10
11
11
00
10
00
10
11
11
11
01
00
10
10
11
00
00
11
01
00
10
01
01
10
00
11
11
00
00
10
01
11
01
10
10
00
10
00
10
00
00
00
01
11
00
01
00
11
00
10
00
10
10
10
10
00
01
00
01
01
00
11
10
00
11
10
00
00
00
10
01
10
10
10
01
10
00
10
10
01
00
01
00
00
00
10
00
10
01
00
00
00
01
01
10
10
10
00
10
00
00
10
00
01
10
10
01
00
10
10
10
01
00
00
00
10
10
10
10
10
10
01
10
00
10
10
00
01
10
10
00
00
01
01
01
01
10
10
10
10
00
10
11
01
00
00
10
10
00
11
10
00
11
00
01
10
10
01
10
10
10
00
10
10
00
00
11
00
00
01
10
00
10
10
00
00
01
10
10
00
00
00
11
11
11
11
00
01
11
01
00
10
10
00
10
01
10
10
00
00
10
00
00
01
10
01
10
00
10
11
10
10
00
00
01
10
11
01
11
11
00
11
11
00
11
10
00
10
10
00
01
00
10
10
11
10
10
01
10
10
01
00
11
01
10
10
00
10
00
11
10
00
11
10
00
10
10
01
00
10
10
10
00
00
00
10
00
01
01
01
10
10
10
01
00
10
10
01
10
00
11
10
00
11
01
01
01
00
11
00
11
11
00
10
11
11
01
11
10
10
01
00
01
00
01
10
01
00
11
00
00
00
10
10
00
01
10
10
00
11
00
01
11
10
10
01
10
01
10
11
01
11
00
11
00
01
10
10
01
00
11
10
10
00
11
10
00
10
00
00
10
10
00
00
00
00
10
01
10
00
00
01
01
10
10
10
01
00
10
11
01
00
10
10
00
10
11
11
00
10
10
01
00
01
11
00
00
10
00
10
10
00
00
10
00
10
00
00
01
11
10
01
00
11
01
11
00
11
01
00
00
11
11
00
10
10
01
00
10
11
11
10
00
00
00
01
10
00
01
00
00
01
01
11
01
10
10
01
10
00
01
00
00
00
00
00
10
10
10
10
10
11
11
10
11
00
00
00
00
10
00
10
00
00
01
11
00
01
10
10
10
00
11
00
00
10
00
00
10
00
00
11
01
10
01
00
01
10
10
00
11
01
10
01
01
10
11
01
00
10
00
10
10
00
01
01
10
10
10
00
01
00
10
10
01
01
00
01
11
10
11
00
10
10
00
10
01
01
10
01
01
00
10
11
00
11
01
00
01
11
01
00
11
01
00
01
00
10
10
10
00
11
11
00
10
01
11
01
10
00
10
11
10
10
00
01
11
10
11
00
00
10
00
01
11
00
00
00
00
11
00
00
00
00
11
10
10
10
00
00
11
10
10
00
10
10
10
00
01
00
11
10
01
10
01
00
01
10
00
10
10
10
00
00
11
01
11
10
00
00
10
11
00
00
00
11
01
00
00
11
00
10
10
00
01
11
10
00
01
11
01
10
10
11
01
11
11
00
00
10
11
11
11
00
00
11
10
10
11
10
11
01
00
10
10
00
00
00
11
11
10
00
00
01
01
10
00
01
11
00
00
00
10
10
10
11
00
10
01
10
10
11
01
11
11
00
10
10
00
01
10
10
00
11
10
00
01
00
10
10
10
01
10
01
01
10
00
10
10
10
00
00
10
10
01
10
10
01
00
11
01
00
11
10
10
10
01
00
11
00
00
11
00
01
01
11
11
10
00
00
00
10
10
01
11
00
00
00
00
11
00
00
11
00
11
10
00
11
10
01
00
11
10
00
11
10
11
10
01
01
11
00
01
00
00
00
10
00
10
10
01
10
10
01
00
00
10
00
11
01
00
10
01
10
00
00
00
00
01
11
10
10
01
01
01
11
11
00
10
01
00
10
10
01
00
11
10
10
10
00
10
00
10
10
10
00
01
01
00
00
00
00
10
00
01
10
01
00
00
10
00
11
11
10
10
00
00
10
00
00
01
10
00
10
00
01
11
11
01
10
11
01
11
11
00
00
10
10
00
00
11
10
10
00
01
10
01
10
11
00
10
01
01
11
10
01
00
10
00
00
10
10
01
00
11
10
11
00
00
00
00
01
10
10
00
11
11
00
11
11
00
01
01
00
10
00
00
00
10
10
00
00
10
10
10
10
00
10
00
00
11
10
00
11
10
10
00
00
00
10
00
01
00
00
00
10
00
00
10
00
10
10
11
10
10
11
10
11
11
01
10
10
00
00
00
01
10
11
01
00
00
11
01
10
10
01
01
10
00
00
10
10
10
10
10
10
01
00
11
11
11
01
01
11
11
01
00
11
11
10
10
00
00
10
11
00
00
10
10
10
11
10
11
00
01
00
11
10
01
00
10
00
00
00
11
10
01
00
01
11
01
00
11
10
10
10
01
10
00
10
10
10
00
10
00
00
00
00
01
00
00
11
11
10
01
10
01
01
10
10
00
01
10
11
00
01
10
11
10
00
11
00
10
10
11
10
10
00
11
00
00
01
00
11
00
10
00
00
10
10
11
01
10
11
10
10
01
10
11
01
00
11
10
11
00
00
11
10
10
01
00
10
00
00
10
10
01
00
11
00
00
01
10
01
00
00
10
00
10
10
11
00
10
10
01
10
01
11
10
11
00
11
01
00
10
00
00
10
01
01
00
01
00
10
00
11
01
00
10
10
01
00
00
11
10
01
11
00
10
00
00
01
00
11
00
11
11
10
01
00
00
10
10
00
00
01
10
10
00
10
11
00
00
00
00
11
00
10
11
10
00
00
00
01
00
10
00
00
00
11
11
10
11
11
01
10
10
00
10
10
11
00
01
11
10
00
00
10
00
10
10
00
01
00
00
00
10
10
10
00
10
00
10
00
01
10
10
10
00
11
10
01
10
00
00
01
11
11
10
00
00
10
10
10
10
00
10
00
00
01
10
01
10
11
11
10
00
01
00
00
10
10
00
00
10
11
10
10
00
00
01
01
11
11
01
11
10
10
01
10
10
01
01
01
11
11
11
10
11
00
10
10
00
01
11
00
00
11
01
10
10
00
01
00
01
00
11
10
01
01
10
01
00
10
11
11
01
00
11
10
10
00
00
00
10
00
10
00
00
10
10
11
00
10
00
00
10
11
00
10
10
11
10
11
00
00
00
10
00
11
10
10
10
00
01
00
11
00
11
11
00
11
00
00
10
10
00
10
11
10
11
00
01
00
01
00
10
00
11
01
10
00
00
10
01
01
11
00
00
10
00
00
01
10
10
10
10
01
10
01
00
10
10
00
01
00
00
10
10
00
00
00
11
11
00
10
11
00
00
01
00
10
00
00
00
10
10
10
11
01
01
00
10
11
10
00
10
00
00
10
10
11
00
11
10
10
00
10
10
10
00
00
10
10
00
01
11
00
00
00
10
11
10
10
00
00
00
10
10
01
11
11
11
10
00
10
10
11
11
00
00
01
10
11
00
00
10
00
11
10
01
10
01
00
11
10
00
10
10
11
00
10
10
11
10
10
01
00
10
01
10
00
00
10
00
11
11
10
10
00
00
11
10
01
00
01
00
00
00
00
10
00
10
11
00
10
00
10
11
10
01
00
01
10
00
10
10
01
00
00
11
00
10
00
11
11
11
01
10
00
10
11
00
00
10
10
00
00
11
00
00
10
10
00
10
10
01
10
00
10
01
01
10
00
00
11
10
10
01
01
10
10
11
11
00
10
00
11
01
11
10
00
10
00
10
11
00
00
01
11
00
01
10
00
00
10
10
11
00
00
00
00
10
10
00
01
00
10
10
01
11
00
00
11
11
10
00
01
00
00
01
11
10
00
00
11
10
10
00
01
00
11
00
00
00
00
01
10
11
11
00
10
10
00
00
01
10
10
00
01
11
10
10
11
00
00
10
10
10
10
00
00
10
10
00
00
01
11
10
00
00
11
00
00
11
10
10
00
00
00
10
10
00
01
00
11
00
10
01
10
10
11
10
01
00
10
10
00
00
00
00
10
00
10
10
10
00
00
01
10
11
10
10
10
00
01
00
00
00
11
01
00
11
10
10
00
11
10
01
00
00
10
10
00
11
11
01
11
00
11
01
11
11
00
00
11
01
00
10
10
10
01
00
10
10
10
10
00
00
01
10
10
11
00
10
00
10
00
01
00
10
10
00
10
11
00
01
01
01
10
11
01
10
11
01
00
00
00
10
10
11
00
00
01
10
00
10
10
01
10
10
10
00
00
00
10
10
01
00
01
10
00
10
10
00
00
11
10
00
11
00
11
11
11
01
10
10
10
10
00
10
10
01
10
10
00
10
10
01
10
00
11
00
10
11
01
00
10
00
00
10
10
10
10
10
01
01
10
01
00
00
10
10
01
10
10
00
10
11
11
00
00
11
11
01
01
01
10
11
00
10
00
00
10
10
11
01
11
11
10
11
00
10
01
11
11
11
00
00
10
00
11
00
10
10
01
00
11
10
01
10
11
00
10
00
00
10
11
11
01
10
00
00
10
00
10
11
00
11
01
00
01
10
10
00
01
11
11
10
11
11
00
00
00
01
00
10
00
00
11
00
00
10
11
10
10
01
10
10
10
10
10
00
01
00
11
10
01
00
11
10
00
10
00
00
01
00
10
10
11
00
00
00
10
00
10
10
01
01
00
10
00
10
01
00
10
10
10
10
10
01
00
01
11
11
10
10
00
10
01
01
00
10
11
01
00
10
10
00
00
00
10
11
10
11
01
11
01
10
10
00
01
11
11
01
00
10
10
01
00
10
10
10
10
10
00
01
10
00
10
01
10
00
00
10
10
01
00
00
00
01
00
00
01
10
00
10
10
10
00
00
11
01
00
10
01
00
10
00
01
10
00
00
10
00
10
10
10
00
00
11
11
10
11
01
00
11
10
11
00
00
10
00
01
10
10
00
00
01
00
11
01
01
10
11
00
10
11
11
01
10
00
00
10
11
00
01
00
01
11
11
01
10
10
00
01
00
10
10
01
10
11
10
00
11
00
00
10
00
00
10
00
10
11
00
11
00
00
10
00
00
10
00
00
10
10
10
10
11
10
11
10
10
10
00
10
10
00
00
10
00
00
01
00
01
00
10
10
00
00
10
11
00
00
10
10
11
10
11
11
11
01
10
00
01
00
10
11
00
00
10
11
01
10
00
00
11
01
11
10
10
00
11
00
10
01
01
11
00
00
10
10
01
10
01
01
11
10
10
10
10
10
11
01
00
11
10
01
11
10
11
00
10
11
00
01
00
11
10
00
01
10
10
00
01
10
01
01
10
00
10
10
01
01
11
00
00
10
00
10
00
11
11
10
10
01
01
10
01
10
11
10
00
00
00
10
10
00
10
10
00
10
00
11
01
00
10
11
00
10
01
00
11
00
00
11
01
10
10
01
00
01
10
10
01
01
01
00
11
00
10
10
11
00
00
10
00
10
00
00
10
00
10
00
11
11
11
01
00
10
01
00
00
10
10
00
01
00
10
11
00
10
00
00
10
10
00
01
10
10
11
10
00
00
00
10
10
00
00
10
10
01
10
00
10
10
10
00
01
10
01
10
10
01
11
10
00
01
10
00
10
10
10
00
10
01
01
10
00
11
10
11
00
00
01
10
00
10
00
00
11
10
00
10
11
10
11
00
00
00
10
00
00
11
10
11
00
11
11
11
00
00
10
11
00
10
01
00
11
10
00
10
10
00
10
11
00
11
11
10
01
01
00
10
10
00
10
00
00
00
10
00
10
11
01
00
11
00
11
00
00
10
00
01
10
10
01
01
00
10
10
00
11
00
11
10
00
10
00
00
00
00
01
11
11
11
11
00
00
10
10
00
11
00
10
00
01
10
00
11
00
11
11
00
00
10
11
00
00
10
11
00
10
00
00
11
01
00
11
01
00
11
10
01
00
10
10
10
00
10
00
00
01
00
00
01
00
01
10
11
10
00
00
01
11
10
01
11
00
10
11
00
01
00
11
10
00
01
00
10
11
00
10
01
10
11
00
11
01
11
01
10
11
01
00
11
10
11
00
10
10
01
10
11
01
00
00
10
00
00
01
10
11
10
01
10
11
10
00
11
10
10
00
00
00
10
10
00
11
11
10
01
00
00
11
10
00
11
10
01
11
00
00
00
10
01
10
10
10
10
10
10
00
11
00
00
10
10
00
01
00
00
01
01
10
01
00
10
00
01
10
00
00
10
00
11
10
00
00
00
11
10
00
00
10
10
00
00
10
00
00
00
10
10
01
10
10
11
11
00
10
00
00
00
00
00
10
11
10
10
11
01
00
01
00
00
11
10
11
00
00
10
11
01
10
01
10
00
10
10
00
00
10
10
00
11
00
00
00
01
01
11
10
01
00
10
11
00
11
11
11
10
11
11
10
11
00
00
10
00
00
10
10
00
11
01
10
11
01
00
10
01
00
00
00
10
11
10
00
01
10
01
00
00
11
00
01
00
00
10
10
00
00
01
11
01
00
00
01
11
11
00
00
10
10
00
00
11
10
00
01
00
00
10
00
01
11
10
00
10
10
10
10
10
00
11
00
10
11
01
00
11
11
00
11
10
10
00
11
11
10
10
01
01
00
01
10
00
10
10
00
01
10
10
10
00
00
01
10
01
00
10
10
10
10
10
01
10
11
11
00
00
01
10
10
11
10
10
10
00
10
11
10
01
10
10
00
01
00
11
10
01
00
10
10
00
00
10
10
10
11
00
01
00
00
11
10
01
01
11
10
10
11
11
01
00
11
10
00
10
00
11
10
00
00
10
10
00
00
00
10
01
00
10
10
01
01
10
10
11
10
10
00
00
00
10
00
10
10
00
01
10
00
11
00
00
10
01
11
01
01
10
00
11
00
00
01
11
10
01
00
01
10
10
01
00
00
11
00
00
01
00
01
10
01
00
11
10
11
10
01
01
00
11
10
01
00
00
00
00
10
11
01
10
01
11
10
01
00
10
11
00
00
11
10
00
00
10
10
00
00
10
01
11
00
00
01
10
01
10
10
00
00
00
00
11
10
10
00
10
10
01
01
01
11
00
10
00
01
00
01
10
00
10
11
10
10
00
01
11
00
10
00
10
00
01
10
11
01
00
01
00
00
00
01
10
00
00
10
00
01
10
11
10
00
10
00
10
01
00
11
11
00
01
10
10
00
10
01
00
11
10
10
00
10
10
00
10
11
00
00
00
10
11
00
01
10
01
10
10
10
10
00
00
10
10
01
01
10
01
01
10
00
10
10
10
11
00
10
10
00
01
00
10
10
10
00
11
01
10
01
11
01
01
11
10
01
10
10
01
10
01
01
00
00
10
10
00
00
10
00
10
10
10
00
00
10
01
00
00
10
01
00
00
01
10
11
11
01
00
00
10
10
10
01
00
11
00
00
10
10
10
00
11
10
10
10
01
00
01
01
11
11
00
00
10
00
00
10
11
00
00
10
10
01
10
00
11
01
00
10
00
10
10
00
00
10
10
01
10
00
10
01
10
11
10
00
01
10
10
00
11
01
10
11
10
10
00
10
10
10
00
00
11
11
00
00
10
10
10
10
00
00
00
10
00
11
00
10
10
00
00
01
10
01
11
10
10
10
01
11
11
10
10
10
01
10
11
01
11
10
10
00
10
10
00
00
01
01
00
11
10
11
11
10
00
10
00
01
10
11
00
10
10
00
00
10
00
00
10
10
01
01
10
11
00
10
10
00
10
00
00
10
00
11
10
11
11
00
00
10
10
01
01
10
10
01
11
01
10
10
01
01
01
00
01
11
00
10
10
10
00
10
10
00
00
10
00
01
11
10
11
00
11
00
10
01
10
10
10
10
01
10
00
11
10
00
00
11
10
00
01
10
00
11
10
10
00
10
00
10
00
10
11
00
00
00
00
01
00
11
10
11
00
11
00
00
00
10
00
00
11
10
11
01
00
01
00
10
10
00
00
00
11
11
10
11
11
00
10
00
00
10
10
00
01
11
10
10
10
11
00
01
10
11
00
01
00
00
11
11
01
00
00
00
00
00
10
11
00
11
10
00
11
00
00
11
01
10
10
10
00
10
00
01
01
00
11
10
01
00
11
11
00
10
10
11
00
00
10
10
00
11
11
00
00
11
00
01
11
11
00
00
00
10
00
00
11
10
10
00
00
01
01
10
11
01
10
10
11
00
00
00
00
10
00
01
00
00
10
10
11
11
11
10
11
10
00
10
01
00
10
10
00
10
00
10
10
11
01
10
10
11
10
01
01
00
00
10
01
00
11
11
10
01
00
10
00
00
11
11
00
00
00
11
10
10
01
00
10
00
10
11
00
10
10
11
01
01
00
01
10
10
00
01
00
00
10
10
11
10
01
00
11
10
00
11
01
10
10
01
11
01
01
00
11
00
00
00
10
10
00
01
10
10
00
00
10
00
00
00
10
00
00
10
01
01
01
00
10
00
10
00
10
10
00
10
00
00
10
00
10
10
01
10
01
00
01
10
10
10
01
00
10
00
00
01
10
01
00
00
00
01
10
11
10
10
01
11
00
11
00
00
11
10
10
00
00
10
00
10
00
00
10
10
11
00
10
10
01
00
00
10
10
01
00
10
01
10
00
10
00
10
01
00
11
00
11
00
01
01
00
10
10
10
01
11
10
10
00
11
10
00
00
01
11
10
01
11
01
01
11
00
11
00
00
00
10
10
01
01
10
11
10
00
10
11
00
11
00
01
01
10
01
00
10
11
00
10
10
00
10
00
11
00
10
11
00
00
11
11
00
01
10
10
00
00
00
00
10
10
10
11
00
11
00
10
10
10
00
10
10
00
00
00
10
10
11
10
11
10
10
10
10
00
01
00
10
00
11
10
11
10
00
00
11
10
00
01
00
00
01
10
11
11
11
10
10
00
01
10
11
00
00
00
11
10
00
01
00
10
10
11
10
00
00
00
11
00
00
10
10
00
11
10
10
00
00
00
00
00
01
00
00
00
01
11
10
10
10
00
10
10
01
00
01
10
10
01
00
10
11
01
00
00
11
00
01
01
10
10
10
10
10
11
01
10
11
00
00
10
00
10
01
00
01
00
11
00
11
11
10
00
01
00
11
00
00
10
00
00
11
10
01
01
01
00
10
01
10
10
10
01
00
11
01
10
11
10
10
11
10
10
00
00
11
00
01
01
10
00
10
10
10
11
00
00
01
10
11
10
00
01
10
01
00
10
11
11
10
01
10
10
00
10
10
00
00
11
00
00
00
10
01
10
00
10
11
10
11
10
10
10
00
10
00
01
01
00
01
10
11
10
00
00
11
01
10
00
00
11
10
10
00
00
00
00
10
10
00
11
11
10
00
10
00
11
10
01
01
00
00
00
01
10
00
11
11
01
00
01
10
00
00
10
10
11
00
00
01
11
10
10
00
00
00
00
00
10
10
01
11
00
01
00
11
00
00
01
10
00
10
11
01
00
10
10
00
10
11
11
01
10
00
11
10
10
11
00
00
11
00
10
10
00
01
00
10
10
00
10
10
00
10
00
10
00
10
00
01
10
00
11
00
00
00
11
00
10
01
01
00
01
00
01
10
00
10
10
10
11
00
00
11
01
00
10
00
00
01
10
10
10
01
00
00
01
11
00
00
01
00
11
10
01
10
11
00
10
01
10
00
00
10
00
00
01
11
10
11
00
00
11
11
10
00
01
10
11
00
01
00
01
00
00
11
10
11
01
10
11
00
10
11
00
00
10
10
00
10
00
10
11
01
01
10
11
11
10
11
00
00
11
00
00
01
10
10
11
10
11
01
01
00
01
00
10
00
00
10
11
10
01
10
01
00
00
00
10
00
11
00
11
10
01
00
10
10
01
00
10
00
01
10
11
00
00
10
10
00
00
10
10
00
10
00
10
00
00
00
01
00
10
11
00
01
00
10
10
10
00
10
10
01
11
01
00
11
00
10
00
00
10
10
00
00
00
00
10
01
11
10
11
01
10
01
10
01
10
00
01
00
00
01
10
10
01
00
01
10
10
00
00
01
01
10
10
00
00
11
01
01
11
01
11
10
10
00
11
11
00
00
10
10
00
10
10
10
00
00
00
00
10
10
00
10
01
00
01
00
01
10
11
01
10
01
10
11
01
01
10
00
11
11
10
00
00
11
00
01
11
01
10
00
01
10
11
01
10
01
00
11
11
10
00
10
10
00
10
11
11
00
01
00
10
10
01
11
10
00
00
10
00
00
11
00
10
10
00
10
10
10
00
11
01
11
10
01
01
01
01
00
01
11
11
00
11
10
00
11
11
10
01
10
11
10
00
01
11
00
01
11
11
11
00
01
01
10
00
10
10
11
01
01
10
11
01
10
00
11
00
00
00
10
11
00
00
00
00
10
10
10
10
00
01
10
10
00
10
00
00
00
10
00
00
00
10
00
10
01
10
11
11
01
10
11
01
00
10
10
00
00
10
00
11
01
00
10
00
00
10
00
01
10
10
01
00
11
00
10
11
00
01
10
11
00
00
11
10
10
00
00
10
11
01
01
10
11
00
00
00
11
11
10
01
00
01
01
01
00
00
00
10
00
00
10
01
11
10
10
01
10
00
10
00
11
11
10
00
10
10
00
10
00
11
01
00
00
00
10
00
01
00
01
10
10
10
00
10
00
10
11
10
10
00
10
10
01
10
00
00
10
10
00
01
00
10
11
00
11
11
10
10
01
10
00
00
10
00
10
10
01
00
11
01
10
10
01
10
01
11
11
10
00
00
10
11
00
00
00
01
10
01
01
10
11
10
00
00
10
00
00
10
10
10
00
10
10
10
10
00
00
11
11
10
10
10
00
01
00
01
00
11
00
10
11
10
00
10
00
01
00
00
00
00
11
10
10
10
00
10
01
00
01
00
11
11
10
10
00
00
11
10
00
10
10
00
11
10
01
10
10
00
10
00
01
10
11
00
00
11
11
11
11
01
01
10
11
00
11
10
01
00
11
10
00
10
10
11
01
01
10
01
11
10
00
00
10
10
00
01
01
11
00
00
10
10
10
01
01
01
01
01
01
10
10
10
01
00
10
10
11
00
00
01
10
10
01
10
00
00
10
01
00
10
00
01
00
00
00
10
10
01
01
00
10
00
10
11
00
01
10
00
00
10
00
01
11
11
10
11
00
10
10
00
00
10
01
00
00
01
00
10
10
10
01
01
01
10
10
11
11
11
10
01
00
01
10
11
01
00
01
10
11
00
00
10
01
00
10
00
00
01
10
00
11
11
10
01
01
10
00
01
10
11
10
00
10
00
10
00
00
10
11
01
00
10
00
10
01
01
10
10
00
10
00
10
01
00
10
11
00
01
00
01
00
11
11
01
10
11
00
01
00
10
11
10
10
11
00
00
10
00
00
00
10
11
11
10
00
01
11
10
00
00
11
00
10
00
11
11
01
10
10
10
00
11
00
11
10
11
00
00
10
00
11
10
01
00
01
00
10
10
00
10
10
11
00
10
00
10
11
10
00
00
10
00
00
10
01
00
01
00
10
11
01
10
10
10
00
11
11
11
01
01
10
10
00
11
10
00
00
11
10
00
00
10
10
01
10
00
01
01
11
00
10
10
10
10
00
00
10
11
00
00
00
10
10
11
01
00
11
10
00
00
10
11
00
00
11
10
01
11
01
00
01
01
10
01
00
11
10
11
10
01
00
00
10
00
00
10
10
00
01
00
11
00
00
11
00
11
10
10
00
11
10
10
10
10
00
10
01
00
11
10
10
10
10
00
00
11
11
01
10
00
00
10
00
00
00
01
00
00
10
10
11
01
10
00
00
11
10
00
00
10
10
01
00
01
11
10
00
10
01
10
11
00
10
10
00
01
11
10
00
01
10
00
10
10
10
10
00
00
00
11
10
10
10
11
10
00
01
00
00
10
10
00
00
00
01
10
10
11
11
00
00
00
00
00
10
01
10
01
00
10
11
01
00
11
10
10
10
10
00
00
10
11
11
01
00
01
10
00
00
11
10
10
10
00
01
01
11
10
01
00
00
00
00
01
10
00
10
11
00
00
10
11
10
11
00
00
10
00
10
00
10
10
11
10
01
10
00
00
00
00
11
10
10
00
11
11
01
10
10
00
00
01
00
00
00
01
10
11
10
00
11
01
00
10
00
00
00
10
10
10
00
01
00
01
01
01
00
10
10
00
00
00
11
11
00
00
00
00
01
10
01
00
01
10
10
10
00
00
10
10
01
00
00
11
10
00
00
01
00
01
00
01
11
10
10
11
11
00
11
00
00
11
00
01
00
11
10
10
00
10
10
10
01
01
11
10
10
00
00
00
01
10
10
01
10
11
01
01
00
00
00
10
10
01
01
10
10
00
11
10
00
00
10
11
00
11
00
11
10
00
11
00
10
01
10
10
10
10
01
10
10
00
11
01
00
10
10
11
01
01
01
10
10
10
00
00
01
10
01
00
10
11
01
00
10
00
00
01
10
10
10
00
10
10
10
00
00
00
00
00
01
00
10
11
01
10
10
00
10
10
11
01
00
00
11
00
00
00
11
00
00
10
01
10
10
00
10
00
01
11
10
11
10
11
00
01
10
00
00
10
10
01
10
10
11
10
10
10
10
00
00
01
00
00
01
11
11
01
10
10
11
00
01
10
10
00
01
00
01
11
11
00
11
00
10
10
01
00
00
00
11
00
11
00
00
00
10
00
00
11
10
00
00
10
00
00
10
11
10
00
10
11
00
10
11
01
00
01
00
10
11
01
10
00
10
10
00
00
10
00
00
00
10
11
01
01
00
11
01
01
10
11
10
01
00
11
00
00
10
11
00
01
00
10
00
00
00
11
00
00
00
11
11
10
10
10
00
01
10
11
00
10
01
01
00
10
11
01
01
10
01
10
00
00
10
00
01
00
11
00
00
00
11
10
11
10
00
11
10
10
10
10
01
01
10
01
00
11
01
00
00
10
00
11
00
00
10
01
11
00
00
10
00
00
00
10
01
00
10
11
00
00
00
01
00
01
11
11
00
01
10
10
11
00
00
11
10
10
00
10
10
00
01
01
11
00
10
11
00
10
00
10
01
10
10
11
10
00
00
00
00
00
11
01
10
00
10
01
10
00
00
00
11
10
01
10
10
00
10
00
00
00
11
11
00
01
00
01
11
00
00
10
01
11
11
00
11
11
10
00
11
00
00
00
10
11
01
11
10
10
00
01
10
10
00
00
11
00
11
10
10
10
01
11
00
01
11
00
01
00
10
01
01
00
00
00
10
00
10
11
00
01
01
11
00
10
10
00
10
00
01
10
10
10
10
00
01
00
11
11
10
01
10
01
10
10
00
00
10
11
10
01
10
00
10
10
10
10
11
01
11
10
11
00
10
01
01
11
10
00
10
00
10
10
10
00
00
10
00
11
10
01
01
11
10
11
10
11
11
10
01
00
11
11
11
00
10
11
00
00
11
00
00
10
10
10
11
10
11
00
11
11
00
10
00
10
10
00
00
10
10
10
10
11
00
11
11
00
01
11
10
10
00
10
00
01
10
00
00
10
11
10
00
01
10
11
00
00
00
10
10
00
10
10
00
01
10
01
10
01
10
00
10
10
00
10
01
00
10
11
01
10
00
11
10
01
10
00
10
10
10
00
01
11
00
11
10
00
00
11
00
00
10
11
00
01
00
11
00
10
11
00
10
10
10
00
11
00
10
10
10
01
10
01
01
11
10
00
10
10
11
10
10
01
00
01
00
10
10
00
00
10
11
00
00
10
11
10
10
00
11
10
10
10
00
01
10
11
00
00
00
00
10
10
10
10
00
01
00
00
01
00
00
01
10
00
00
11
10
00
00
10
00
01
10
10
01
10
00
00
11
00
10
11
01
11
10
11
10
01
00
10
00
00
11
10
10
00
10
10
10
00
01
10
00
00
10
10
00
01
10
00
00
01
00
00
10
01
10
00
11
10
01
01
10
11
00
00
00
11
10
00
11
10
00
00
10
10
00
01
10
10
00
00
11
10
00
01
11
01
10
00
00
00
00
00
11
00
11
10
11
00
10
11
00
10
11
10
00
01
10
00
10
11
10
10
10
11
01
01
01
10
10
10
01
00
01
10
10
00
10
11
00
10
11
10
00
10
00
10
11
11
10
00
00
00
10
00
00
10
10
10
00
00
11
10
10
11
00
01
01
11
01
10
11
00
01
11
01
11
10
00
00
01
11
10
00
11
00
00
01
00
11
10
10
00
00
10
01
10
10
01
10
10
00
10
10
10
10
00
10
01
01
01
00
10
11
11
00
10
10
00
11
00
01
10
11
00
01
01
11
00
11
10
00
10
10
10
10
10
00
11
10
00
00
10
11
01
00
01
01
00
00
10
10
11
10
00
00
10
11
01
10
11
10
11
10
01
00
00
10
10
00
10
00
10
00
01
00
00
01
10
01
00
00
00
00
11
11
00
11
11
10
00
10
01
01
11
10
01
00
11
10
01
00
10
00
00
10
11
01
11
00
10
10
00
00
00
11
10
00
10
00
00
00
01
10
01
10
11
00
11
11
11
01
01
01
00
10
10
10
00
11
10
01
01
00
00
00
10
00
00
11
00
10
00
00
10
10
01
11
01
11
01
10
10
00
00
11
01
00
10
11
00
01
00
10
11
00
00
00
01
10
10
10
10
10
01
00
10
10
01
11
01
00
00
00
11
10
10
10
00
00
10
00
11
11
01
11
11
01
00
00
10
00
11
10
00
00
01
10
10
11
10
11
11
10
00
10
10
00
11
11
00
00
11
00
00
10
10
10
00
00
11
10
00
01
10
10
01
10
00
01
11
01
00
01
10
10
01
00
10
11
00
01
01
11
01
00
10
10
10
10
01
00
11
01
00
01
01
10
10
10
00
11
11
00
00
01
01
11
11
01
11
01
11
10
01
00
11
01
00
11
10
11
11
10
00
00
10
11
10
00
01
11
01
10
11
10
00
10
11
00
11
10
01
00
10
11
01
01
10
11
01
01
00
10
10
00
10
10
00
10
00
00
10
11
01
00
00
00
10
11
10
01
01
00
10
10
01
11
11
00
00
10
00
00
10
00
01
10
11
10
01
00
00
00
11
10
10
00
10
00
11
01
10
11
11
00
01
11
01
00
10
10
10
10
00
10
10
01
01
01
00
01
11
00
10
00
00
11
10
01
10
00
00
10
11
00
00
10
00
00
10
10
10
11
00
00
11
11
10
11
10
01
11
11
10
10
00
01
11
11
00
01
10
11
00
10
10
00
01
11
10
00
10
00
11
10
11
00
00
10
11
11
00
00
10
10
10
11
00
10
10
00
10
00
00
11
10
10
01
11
11
00
10
01
11
11
00
01
10
10
01
01
01
11
11
10
10
11
11
01
01
10
11
00
11
00
01
11
10
00
01
00
10
00
00
01
10
00
10
01
10
00
00
00
01
10
00
00
00
11
11
10
01
00
10
00
01
00
10
10
00
10
10
10
10
10
00
00
10
01
11
00
00
00
00
11
11
01
00
10
11
00
10
10
10
00
10
01
01
00
10
10
00
00
11
10
01
00
00
00
01
10
10
01
00
10
10
10
00
01
00
00
10
11
10
00
11
00
01
10
10
11
00
10
01
00
10
10
10
10
10
01
00
10
00
11
10
11
10
10
10
01
11
10
00
10
11
00
00
00
10
11
00
10
10
10
11
11
01
00
01
00
11
00
10
11
10
00
01
01
11
01
01
01
10
01
00
00
11
10
01
00
00
10
10
00
01
00
10
10
10
00
00
01
00
11
10
01
10
10
00
10
10
00
00
10
10
11
00
00
01
10
00
00
01
01
10
00
00
11
11
11
10
00
00
10
01
10
00
10
00
00
10
11
01
00
10
00
10
10
00
00
11
01
11
10
01
10
01
00
00
10
10
00
01
00
10
10
01
10
01
10
10
10
00
00
00
00
10
00
00
00
00
10
10
11
11
01
10
11
11
01
10
10
10
10
00
00
00
10
10
11
00
10
10
10
00
10
10
00
10
00
01
00
11
11
11
01
00
11
10
11
00
10
11
00
10
11
01
01
00
00
10
01
11
10
01
01
11
11
11
01
00
01
01
10
11
00
00
10
10
00
10
11
00
00
11
00
11
00
11
10
01
00
01
01
11
01
00
10
10
10
10
11
00
00
11
11
10
10
10
01
11
00
00
10
00
01
01
10
10
01
11
01
10
10
01
00
11
10
00
01
10
10
00
11
10
11
00
00
00
10
00
00
00
11
00
01
10
01
10
11
00
00
11
10
10
10
10
00
00
10
11
01
00
10
10
00
00
00
10
10
01
10
00
00
11
10
00
00
11
01
00
10
10
11
01
01
01
00
10
10
00
01
10
10
00
00
00
10
00
01
10
00
11
00
10
11
10
01
00
11
10
01
00
00
00
01
01
10
10
01
00
01
10
10
01
10
00
01
10
11
00
00
11
10
10
01
10
10
10
01
00
10
00
10
00
01
11
00
01
10
10
10
00
00
10
00
00
10
00
10
10
00
10
10
10
00
11
11
11
00
00
10
00
11
10
01
00
11
00
00
00
00
01
10
10
10
10
11
00
10
10
00
00
10
10
01
10
10
00
01
00
10
00
10
10
00
00
00
11
00
10
01
10
01
10
00
00
10
11
01
00
10
11
11
10
11
00
11
10
01
00
00
11
10
00
11
00
00
01
00
10
10
00
01
01
00
00
10
10
01
01
11
00
01
00
10
10
10
01
00
10
10
10
01
10
00
00
10
10
00
10
00
01
11
00
11
10
00
10
11
11
01
00
10
10
11
10
11
01
00
00
00
00
10
11
00
11
10
00
10
10
01
00
00
11
11
10
00
10
00
01
11
00
01
10
10
01
01
10
10
10
01
01
00
11
10
10
00
10
00
00
10
10
00
01
11
11
01
11
11
11
01
00
10
11
10
00
01
00
10
01
10
00
01
10
11
11
11
10
01
00
01
00
10
00
10
11
00
10
10
10
10
10
00
00
11
10
01
10
10
01
01
10
10
00
00
10
11
00
10
11
00
01
00
00
10
00
10
10
10
01
00
01
11
01
00
10
10
10
00
00
00
11
10
01
10
10
10
10
11
00
10
10
10
01
01
01
10
10
00
00
01
10
01
00
00
10
00
00
00
01
10
10
10
01
10
00
10
10
01
11
01
00
10
10
01
01
11
10
00
01
10
01
10
01
10
00
00
00
00
10
10
10
10
01
00
00
00
10
11
10
01
00
00
01
00
00
00
11
11
10
10
00
00
10
00
00
11
00
10
10
11
11
11
00
10
01
00
10
00
00
11
00
11
10
00
01
10
00
01
00
10
10
00
10
01
01
00
00
10
00
10
01
10
10
11
10
10
00
01
01
11
01
00
10
00
01
10
11
11
00
01
11
00
10
01
01
10
11
00
11
00
00
10
01
10
11
10
00
00
11
10
00
10
10
10
01
00
10
01
11
01
11
10
01
11
01
10
01
00
10
10
00
10
00
11
10
01
00
00
11
01
00
11
10
01
10
01
00
00
10
10
11
10
11
00
10
11
11
10
00
01
10
10
00
00
11
10
10
00
00
00
10
00
11
00
10
00
01
11
10
00
01
01
11
00
10
00
00
10
00
01
10
11
01
10
00
10
11
10
00
00
11
00
00
01
01
10
00
00
11
00
11
01
00
10
10
10
01
11
11
11
10
00
11
10
00
01
10
11
01
00
01
10
01
00
01
11
10
11
01
00
10
10
00
01
10
00
11
10
01
00
00
10
00
10
10
10
00
01
10
00
01
00
00
00
11
11
00
00
11
00
10
10
00
01
00
10
10
00
10
10
10
00
11
10
10
01
10
00
01
00
00
10
10
00
10
10
11
10
00
10
01
00
00
10
00
01
10
00
10
10
00
10
11
00
10
10
11
00
10
10
11
01
01
11
10
10
10
00
10
10
00
01
01
00
10
11
00
10
11
10
00
11
11
10
10
00
00
00
01
01
11
11
01
00
11
00
00
10
01
01
10
01
00
00
10
10
00
01
10
10
10
10
10
00
00
00
11
10
01
01
01
01
11
11
10
10
01
11
10
00
10
10
00
00
00
10
00
01
10
01
10
11
00
00
10
10
01
10
01
00
00
10
10
01
00
11
10
10
00
10
10
00
01
10
10
00
00
00
10
00
01
10
11
11
00
00
10
10
10
00
10
11
10
01
01
00
00
00
00
10
10
10
01
00
11
10
00
00
10
10
11
00
00
01
10
11
11
10
10
00
10
10
00
01
10
00
01
10
11
10
10
11
11
10
11
00
01
00
00
11
10
01
00
10
10
00
01
10
00
00
00
10
00
10
00
01
01
10
11
00
11
00
00
11
10
10
11
10
01
00
00
11
10
01
10
11
00
00
10
10
00
00
11
10
10
10
10
01
11
10
01
00
11
10
01
00
00
00
11
10
01
00
11
10
00
10
10
00
00
00
10
00
00
10
11
00
01
11
11
01
00
00
10
10
01
11
11
00
10
10
10
01
11
01
10
11
00
00
10
11
00
01
10
10
10
10
10
10
10
00
11
00
10
11
10
00
00
11
00
10
01
10
10
00
10
11
01
00
00
10
01
10
10
00
11
00
11
11
00
10
00
00
01
10
10
00
10
11
10
10
10
10
00
11
00
00
10
11
01
00
01
11
10
01
00
00
01
11
10
10
00
00
11
10
00
11
10
01
10
01
10
00
10
11
10
00
00
00
11
10
00
10
00
00
10
10
01
10
01
00
10
10
01
01
10
10
11
00
00
00
00
10
00
01
10
11
01
10
01
01
10
10
00
00
10
00
01
10
01
11
10
10
10
00
00
11
11
01
10
10
11
00
11
01
00
00
10
10
10
10
00
10
10
10
10
01
11
11
10
10
10
00
10
10
01
01
11
01
00
11
00
11
10
11
00
00
01
10
11
10
00
11
10
10
00
00
00
00
00
11
10
00
00
00
00
00
10
00
10
10
11
11
01
01
10
10
10
00
11
11
00
01
11
10
00
01
01
01
10
10
10
00
10
10
10
00
00
11
10
00
11
01
00
00
00
01
01
11
00
11
11
11
01
00
10
00
01
10
00
00
10
01
01
01
01
10
10
00
01
10
00
10
10
00
00
01
00
10
10
01
01
00
10
00
00
00
10
10
01
01
01
00
10
10
00
10
10
11
11
00
01
11
11
01
11
10
00
00
10
10
00
00
10
00
10
00
10
01
10
10
00
00
00
10
10
10
00
11
00
00
10
01
10
01
01
00
11
00
10
00
00
10
10
00
00
10
00
00
10
11
00
00
00
00
10
00
11
10
00
00
10
01
10
10
11
10
00
00
00
10
10
00
00
00
10
01
10
00
00
10
10
10
00
00
00
11
10
10
00
10
01
11
11
11
11
00
10
10
01
00
10
10
00
10
01
01
10
00
10
11
01
00
00
10
01
01
00
00
01
10
10
10
10
10
11
01
00
11
11
11
10
11
00
01
10
10
10
00
00
10
10
00
00
01
01
00
10
11
10
00
11
10
11
01
11
00
01
00
11
01
10
10
00
00
01
11
00
11
00
10
11
00
00
00
10
10
11
11
00
00
10
11
10
11
00
11
10
00
10
01
00
11
00
00
00
10
01
01
10
10
01
10
01
00
00
00
01
10
10
00
00
00
11
00
11
10
00
10
11
11
00
10
11
00
01
01
00
01
10
01
00
11
11
00
01
11
11
10
10
00
10
01
00
10
00
00
10
11
00
01
10
10
00
10
00
00
10
10
10
01
10
00
00
11
11
11
00
00
10
11
11
11
00
01
00
00
01
01
10
10
10
00
11
10
10
11
11
11
10
00
00
01
01
01
10
11
10
10
01
10
11
00
01
10
00
01
00
10
11
11
00
11
10
01
00
10
10
00
00
11
01
00
00
00
00
00
10
10
01
10
01
00
00
11
10
11
01
00
11
00
10
10
01
00
01
00
00
01
00
01
00
10
10
00
01
01
00
00
11
10
00
00
00
10
00
01
10
11
01
00
01
11
11
10
01
00
11
10
11
11
00
11
00
00
10
11
00
11
11
00
10
01
00
10
00
00
00
10
11
00
10
00
11
01
11
10
01
11
11
11
00
01
10
00
10
01
01
11
00
00
10
10
10
10
10
00
00
10
10
00
10
10
10
10
11
11
10
11
10
10
10
00
00
11
10
00
01
10
01
00
00
10
01
10
10
10
00
00
11
00
00
11
00
11
10
10
11
01
10
11
01
10
10
11
01
00
11
00
11
10
11
10
00
10
10
10
00
01
10
10
01
01
10
10
00
00
11
11
11
00
10
00
10
01
00
00
11
10
10
00
01
11
10
10
01
10
00
01
00
00
00
10
10
01
01
10
00
00
11
11
10
10
00
11
11
10
00
00
01
00
00
10
00
10
00
10
00
11
10
00
11
10
01
00
11
10
11
01
00
10
10
11
00
10
10
00
11
10
10
11
00
00
00
11
00
00
10
00
00
10
10
00
00
00
00
10
10
11
01
10
10
11
00
01
01
10
11
00
10
00
10
01
01
00
10
00
10
11
00
00
11
01
01
10
10
10
10
11
00
00
11
10
00
11
10
00
10
11
00
00
00
10
10
00
11
00
01
00
01
10
10
00
00
00
11
11
00
10
10
10
10
10
11
00
10
11
01
11
10
00
01
00
11
10
00
00
00
00
11
10
01
00
10
10
00
00
00
00
10
00
10
10
00
10
00
01
00
11
11
00
11
11
00
11
00
00
00
10
11
11
11
00
11
00
11
11
11
10
01
00
11
00
01
11
11
00
01
10
11
00
00
00
00
01
10
10
00
00
10
10
10
01
00
10
11
11
00
10
01
00
01
00
10
10
11
01
00
10
10
01
10
10
10
01
10
11
10
10
10
01
00
01
00
00
00
00
01
10
00
10
00
00
00
00
11
00
00
10
00
01
01
10
11
00
00
01
01
00
11
01
11
11
00
00
11
00
11
10
01
01
11
10
00
00
10
11
00
10
10
00
00
01
11
11
11
10
00
10
10
00
10
10
00
10
10
00
00
00
00
01
10
11
11
11
11
11
00
01
00
01
00
10
10
10
10
10
00
01
01
11
00
00
10
10
11
10
10
01
10
00
00
10
01
10
01
10
10
11
10
00
00
00
00
00
01
00
11
10
10
00
00
00
10
00
01
01
11
01
10
11
10
11
00
10
10
00
10
10
00
00
11
10
00
00
00
01
10
00
00
10
10
01
11
00
10
01
01
00
00
00
00
10
11
11
10
10
00
01
10
10
00
01
00
00
11
11
11
11
01
00
00
10
10
00
00
00
11
10
00
11
00
11
00
10
01
00
10
01
10
11
11
10
11
00
10
00
11
01
00
11
10
01
00
10
00
10
10
01
10
11
11
00
00
10
01
10
01
10
01
00
10
01
11
10
00
10
10
00
01
00
11
10
01
11
01
10
11
01
11
00
01
10
00
00
10
11
11
11
01
00
10
00
00
11
01
01
11
10
01
00
01
00
10
10
11
01
00
00
11
00
01
11
10
10
10
10
01
01
01
10
10
10
10
10
10
01
00
00
00
01
00
00
10
01
11
10
00
10
00
00
10
01
00
00
00
10
11
10
00
10
00
00
10
10
01
00
01
10
11
11
00
10
10
10
00
00
00
10
00
10
11
00
00
10
00
11
00
00
10
10
10
01
11
11
00
10
11
01
01
10
01
00
00
00
10
10
01
00
00
10
10
11
00
10
10
10
01
10
01
10
10
10
01
00
01
10
00
00
11
10
00
00
10
01
00
01
10
11
00
00
01
10
10
00
00
11
10
11
00
10
10
01
01
11
01
01
10
10
10
00
10
01
11
10
00
00
00
10
00
10
11
00
00
01
00
11
10
01
10
00
00
10
01
00
00
10
10
01
00
00
01
00
00
10
00
10
00
11
10
00
00
00
00
10
11
01
10
11
11
10
00
00
00
11
01
01
10
01
10
00
10
10
00
01
01
11
00
11
10
10
10
10
11
01
00
00
10
10
00
10
01
10
10
10
01
01
00
01
10
10
10
11
10
00
01
11
01
10
00
01
11
10
11
10
01
00
11
00
00
10
11
11
10
10
00
00
01
01
00
11
00
11
10
00
10
00
00
00
00
10
01
00
10
11
01
01
10
10
00
00
10
11
11
00
01
11
10
01
10
10
10
01
01
00
10
00
10
00
00
10
00
10
00
10
00
10
11
00
01
00
10
00
01
00
11
01
01
10
00
00
10
00
00
10
10
10
10
00
01
01
10
00
01
01
10
00
00
10
11
01
10
00
01
10
10
10
10
00
00
00
10
11
10
00
00
01
11
00
01
11
10
01
11
00
11
11
00
11
01
00
11
10
00
10
10
00
11
10
00
00
10
10
10
11
01
10
11
00
11
10
00
00
11
10
10
01
00
10
01
10
10
10
11
10
01
11
11
01
10
11
01
11
01
01
11
10
00
11
10
01
11
11
00
00
10
01
01
11
11
00
10
10
00
10
11
00
01
00
11
10
11
00
00
00
00
10
10
00
10
01
00
10
10
01
11
01
00
01
10
10
10
00
00
01
11
10
00
10
11
00
10
01
00
00
11
10
01
00
00
10
01
00
11
01
01
01
10
11
00
01
10
11
00
01
10
11
10
10
10
01
00
10
01
01
01
00
10
10
01
01
10
11
00
00
11
00
11
10
01
01
10
00
00
00
00
01
11
10
10
11
00
10
10
00
10
01
00
00
10
01
10
10
10
00
10
10
10
00
00
01
10
10
10
10
01
00
00
10
10
00
00
00
11
10
10
00
00
10
10
11
00
10
00
11
00
00
11
00
11
10
00
10
11
00
10
10
01
01
00
11
10
10
10
00
11
10
00
01
11
10
10
00
10
01
10
11
00
01
10
11
11
00
11
11
10
00
10
10
00
10
00
01
10
10
10
11
00
10
11
10
00
01
00
10
10
00
00
10
01
00
01
10
00
00
10
10
10
11
00
00
10
00
01
11
00
10
11
10
10
10
01
10
11
00
10
01
00
10
11
10
01
00
10
00
10
00
00
00
00
10
11
10
10
10
11
00
11
00
00
10
10
00
01
10
01
10
01
00
10
00
00
00
11
10
00
00
00
10
00
01
11
00
01
10
00
11
00
01
10
00
10
01
10
10
00
00
11
10
01
00
10
00
10
11
10
10
01
00
10
10
00
00
10
01
00
10
10
01
10
00
00
01
10
00
10
11
10
10
11
11
10
01
10
00
10
11
10
10
11
00
10
11
00
01
10
10
01
10
10
01
00
00
10
10
11
00
00
01
11
00
01
01
10
10
11
00
10
00
00
00
10
00
11
01
11
00
10
10
01
00
11
00
01
10
00
01
01
10
10
11
01
00
01
11
10
11
00
10
00
00
00
00
10
10
10
00
00
10
00
00
10
10
11
10
00
01
10
00
11
00
00
00
11
10
00
00
01
10
11
11
10
11
00
10
10
00
01
11
10
00
00
00
10
10
11
01
01
10
01
00
10
10
11
10
00
01
00
11
10
00
11
10
00
10
10
00
00
10
10
00
00
00
10
00
00
11
00
10
10
01
01
00
11
11
10
11
00
00
00
01
10
00
01
10
10
00
11
10
10
10
11
00
00
01
00
10
01
01
00
00
00
00
10
10
01
10
00
10
10
10
11
00
01
01
10
10
01
10
11
10
00
10
01
01
11
00
00
10
01
10
11
00
01
01
11
01
11
01
10
11
00
00
01
00
10
11
10
01
11
10
11
10
01
00
00
00
11
10
00
10
11
01
11
10
00
10
01
00
00
00
01
10
10
10
01
11
10
01
10
10
00
01
10
11
00
00
00
00
10
10
11
00
10
10
10
10
00
00
00
00
10
01
11
10
00
10
10
01
00
10
00
10
00
11
10
01
10
01
00
10
00
01
01
10
01
10
00
00
10
11
10
10
00
11
10
11
00
01
10
11
00
11
00
01
00
10
11
10
10
00
10
10
00
01
00
00
00
10
10
10
11
11
00
00
10
01
00
10
00
10
00
00
00
10
11
10
11
00
01
01
01
00
01
10
10
01
00
01
10
11
10
10
00
00
10
00
00
11
10
00
00
00
00
11
10
00
10
11
10
10
01
00
00
10
11
00
11
10
11
10
11
10
00
10
01
10
00
11
11
01
00
00
00
10
10
00
01
11
10
11
10
11
01
01
10
10
11
11
11
00
00
10
11
00
01
00
10
10
00
10
00
10
11
10
00
10
10
00
01
10
10
10
00
00
10
11
11
11
01
01
01
11
00
01
00
01
01
10
11
00
11
11
10
00
00
00
10
00
11
10
01
10
10
01
10
10
11
10
01
00
01
10
10
10
01
11
00
00
01
01
11
10
00
00
00
11
11
10
00
01
00
01
00
10
10
00
10
00
10
10
10
00
01
00
00
00
00
00
11
10
00
01
10
00
00
10
10
01
00
10
11
00
01
00
00
00
01
11
00
11
10
11
11
10
11
00
10
10
00
11
10
00
01
00
01
10
01
00
00
10
10
10
10
10
01
10
01
11
10
00
01
00
00
00
10
00
01
10
10
00
00
10
11
11
01
11
10
10
00
11
00
01
10
11
01
10
00
11
10
00
10
00
10
11
11
01
00
11
00
10
11
00
10
11
10
00
10
00
00
11
10
01
10
00
00
10
10
00
10
10
11
00
01
11
11
10
01
01
11
01
00
10
00
00
10
11
10
01
10
10
00
10
10
00
01
10
10
01
01
10
11
11
00
01
11
10
10
00
00
10
00
11
10
00
10
10
00
10
00
10
10
01
01
11
01
10
11
00
11
10
00
00
10
10
00
00
10
10
00
00
01
01
10
01
01
10
10
10
00
10
00
11
11
10
10
01
11
11
11
10
11
10
00
01
00
00
11
10
01
00
10
01
10
10
11
00
00
11
10
11
00
11
11
10
00
00
10
01
11
10
00
00
10
10
00
00
00
11
11
00
00
01
10
10
00
10
10
01
01
00
10
10
10
11
01
11
00
00
10
10
01
10
10
11
00
11
11
10
01
10
11
00
00
10
11
01
10
00
00
00
10
10
00
10
10
00
10
00
01
00
10
00
00
11
10
11
01
01
10
10
11
00
11
10
10
10
00
10
10
11
11
11
01
00
01
00
01
10
10
00
00
01
10
11
10
10
11
11
10
01
01
00
00
10
00
00
10
11
01
00
00
01
11
11
01
00
10
11
00
10
01
00
10
10
00
01
00
10
00
00
10
10
00
00
01
00
10
11
00
01
10
11
00
11
10
01
00
10
00
00
00
11
10
00
00
10
01
00
00
10
11
00
10
10
00
10
10
11
01
10
11
00
10
00
11
01
01
00
10
00
10
10
01
00
10
10
10
00
11
01
10
10
01
00
00
01
00
00
01
00
11
10
10
10
00
00
00
11
10
01
10
00
00
01
01
10
11
10
00
01
10
01
10
10
01
00
11
10
11
00
10
11
00
01
00
10
10
10
01
10
00
00
11
00
10
00
10
11
10
00
01
10
11
00
01
00
01
01
00
11
11
00
10
00
00
00
01
10
00
00
10
11
01
01
10
10
00
01
00
10
10
00
10
01
00
00
00
11
00
10
00
01
00
00
00
10
00
00
00
10
00
00
00
10
01
01
00
10
10
10
11
00
00
01
00
10
10
10
00
11
10
00
00
01
10
01
00
10
00
11
00
00
11
00
10
10
00
11
00
00
10
00
10
10
00
01
00
10
00
10
00
00
01
10
11
00
00
00
10
00
01
10
10
10
00
10
10
10
00
01
11
11
10
10
01
10
01
00
10
11
11
01
01
10
10
00
10
11
00
00
10
00
00
11
11
00
01
10
00
00
11
10
11
01
10
10
00
01
00
01
10
11
00
01
11
01
00
00
10
10
00
01
10
10
11
01
11
00
11
01
10
11
01
10
00
10
10
10
10
01
10
00
01
10
00
00
11
01
10
00
00
10
10
00
10
10
00
00
10
10
11
11
00
01
10
11
11
00
00
11
11
00
10
10
00
00
10
00
00
10
00
10
10
00
00
10
00
10
10
10
01
00
10
11
10
00
10
00
00
00
00
00
00
10
01
00
10
11
10
00
00
10
10
10
00
00
10
10
11
00
00
00
01
10
00
10
00
00
00
11
10
10
01
10
00
00
10
00
10
10
00
11
10
10
11
01
10
01
00
10
01
01
00
01
11
10
00
00
10
10
00
00
10
01
11
10
00
01
00
11
00
00
10
10
01
00
00
11
01
00
00
00
00
10
10
00
01
00
00
10
00
00
01
00
11
11
10
00
10
11
00
10
10
00
11
10
11
00
00
10
11
00
00
10
10
00
10
00
00
10
01
10
11
01
10
00
00
10
00
01
10
00
00
10
01
11
00
10
10
01
01
00
10
10
01
01
01
10
00
00
11
00
10
00
10
11
01
10
00
00
11
00
11
10
00
11
11
10
01
10
11
10
10
00
00
00
10
10
00
10
10
10
01
00
10
01
00
11
10
00
00
10
11
10
00
00
10
00
10
10
00
01
00
01
01
11
11
10
10
01
01
11
00
10
10
10
00
00
01
10
10
00
00
01
10
00
10
10
00
00
10
01
11
11
11
11
00
10
11
01
01
10
10
00
11
10
01
00
11
10
01
11
10
00
01
11
00
10
10
10
00
00
00
10
11
00
00
00
10
00
11
11
00
10
00
11
00
00
00
10
10
00
00
00
01
10
11
00
11
10
01
00
11
11
00
00
10
00
01
00
11
11
01
10
00
00
10
01
01
00
11
11
11
10
01
01
01
10
11
00
00
10
11
00
01
10
10
01
11
00
00
10
11
11
01
11
10
00
10
10
00
00
10
10
00
00
10
01
00
11
00
00
01
10
11
00
10
10
00
01
00
10
10
00
11
10
11
00
01
10
10
00
10
01
00
11
01
01
00
10
10
01
00
11
01
01
00
00
10
01
00
10
10
01
00
11
11
10
10
00
00
00
00
11
10
00
10
00
11
00
10
11
00
00
10
00
11
00
11
11
00
01
10
00
00
10
10
01
00
00
01
11
11
00
01
10
10
00
10
01
01
01
00
10
10
10
01
01
11
10
10
10
11
10
00
11
01
00
10
01
00
01
00
00
10
10
10
01
00
10
01
10
10
00
11
00
11
10
10
00
00
10
10
01
00
01
10
10
00
00
11
00
10
00
00
10
10
01
00
10
00
00
00
11
00
01
10
11
01
00
01
00
10
11
11
10
01
11
10
00
00
00
01
11
00
11
00
00
10
00
10
00
00
11
10
10
10
01
11
01
00
10
00
11
00
10
10
01
10
10
10
00
01
01
10
01
00
01
10
10
00
00
10
11
11
01
10
11
10
11
01
11
10
00
00
00
10
01
10
10
10
10
00
01
00
10
00
00
10
00
00
10
11
10
00
00
00
00
10
10
00
11
00
00
10
11
00
00
10
00
11
10
01
00
11
10
10
10
01
00
00
00
10
11
01
11
10
10
01
10
11
11
01
00
10
11
00
10
10
00
01
11
00
00
10
10
11
10
00
10
10
01
01
01
10
10
01
01
10
10
00
00
11
00
00
10
01
00
01
01
00
10
11
10
10
10
11
01
11
00
01
10
10
00
01
00
11
10
10
10
00
00
10
00
00
10
10
00
11
10
00
10
00
00
00
00
00
00
10
11
00
10
11
11
00
00
11
10
01
00
00
01
10
01
00
01
10
10
10
10
10
11
10
00
10
10
00
01
10
10
01
01
10
01
11
10
00
00
10
01
00
10
00
10
10
00
00
10
11
10
11
11
11
01
10
01
00
00
11
01
01
11
00
10
11
00
00
00
01
11
10
10
01
10
10
01
10
00
01
01
00
11
11
00
10
00
10
10
10
00
11
10
01
11
10
10
10
10
00
00
10
10
01
10
10
00
00
00
01
10
11
00
00
10
01
10
11
01
01
10
00
00
10
11
00
00
00
00
11
11
10
10
10
00
10
00
11
11
00
10
10
10
00
00
01
01
10
10
01
00
10
11
01
10
01
01
11
00
01
11
00
11
00
00
10
10
10
01
10
11
00
11
00
00
10
00
00
11
10
00
00
11
00
00
10
10
10
00
00
10
10
00
10
00
10
01
00
11
01
00
11
11
10
00
10
10
00
11
01
00
00
10
00
10
01
10
00
00
01
10
00
00
11
00
00
00
00
00
10
10
00
10
10
10
10
10
00
01
10
00
11
00
10
00
10
11
00
11
00
01
00
10
11
10
00
01
10
10
00
11
00
11
00
00
01
10
01
10
00
01
00
01
10
10
01
11
01
00
10
10
10
10
00
10
00
00
10
10
01
00
00
00
10
10
00
01
00
00
10
11
00
00
01
11
00
00
00
01
11
01
11
11
01
10
10
01
11
11
11
00
01
11
00
10
10
00
00
00
11
00
11
10
10
11
10
10
00
00
00
01
10
10
00
00
10
00
11
01
11
11
10
00
00
00
10
10
00
00
01
10
11
11
01
11
01
00
11
11
01
11
00
01
10
11
00
10
10
01
00
10
00
01
00
10
10
10
11
11
00
10
10
01
01
11
11
01
01
10
00
10
00
00
11
10
01
00
00
10
10
11
10
10
10
01
11
10
00
01
00
10
00
10
11
10
00
01
00
00
10
11
01
10
01
00
00
00
10
10
00
00
10
00
01
10
00
11
01
00
00
11
00
10
01
00
10
10
11
01
00
11
00
11
00
01
10
10
00
00
10
11
10
01
10
00
01
10
10
00
01
10
11
11
00
11
00
10
00
01
10
00
00
10
10
10
00
00
00
01
00
00
00
10
10
10
10
01
10
01
10
10
10
00
01
10
11
00
01
01
10
10
00
10
10
01
01
01
10
00
01
10
01
10
10
00
00
10
00
10
11
10
00
11
10
10
10
01
00
11
10
01
10
11
00
10
11
10
10
00
00
11
10
10
00
00
11
10
11
11
10
11
10
00
11
00
01
10
00
00
10
10
00
01
11
11
10
11
00
01
11
00
01
10
11
01
00
10
10
01
01
00
00
10
10
00
01
10
10
00
01
00
11
10
00
10
00
10
10
01
00
00
01
10
11
01
10
00
11
10
10
00
00
10
10
10
01
00
00
00
10
00
00
00
00
00
10
10
01
10
10
11
01
10
00
10
11
01
00
11
00
00
00
00
01
00
00
10
10
10
00
10
00
10
10
00
00
00
01
11
10
10
10
10
10
11
11
00
01
10
00
10
00
10
01
10
11
11
10
10
00
01
10
01
00
00
00
00
00
11
10
01
11
11
10
10
10
10
01
01
11
00
10
00
10
11
11
10
00
01
10
10
10
00
11
10
11
10
00
00
00
00
10
10
00
00
00
10
11
01
00
00
00
00
10
00
11
10
00
00
00
10
01
00
00
00
10
10
11
00
11
10
01
01
11
11
00
10
11
11
00
00
10
10
00
00
11
00
01
10
10
11
00
01
01
10
10
00
10
10
11
00
00
10
00
01
10
00
00
10
00
00
10
11
10
00
11
10
10
10
10
10
10
00
00
11
01
01
10
11
00
10
01
00
00
10
11
00
11
00
00
10
10
11
00
01
10
00
00
11
11
10
11
00
11
00
10
00
10
00
11
00
00
01
10
10
01
10
10
00
00
11
11
10
00
00
11
10
11
01
00
11
11
00
10
10
11
01
10
11
10
10
00
00
01
10
10
00
10
10
10
11
00
10
00
00
10
00
00
10
01
01
11
10
10
00
00
01
11
10
01
00
00
10
01
00
00
10
10
01
00
00
01
00
10
10
11
01
00
11
11
00
00
10
01
01
00
10
00
00
11
00
10
11
11
01
10
01
01
10
00
10
10
00
00
11
00
11
10
01
01
01
10
10
10
00
00
00
01
10
11
00
01
10
10
11
10
00
01
01
00
00
01
10
10
01
00
11
11
00
01
11
11
10
00
10
00
10
11
11
00
00
10
11
11
00
00
01
00
10
00
11
10
11
00
10
01
11
10
00
10
00
10
10
01
00
10
01
11
11
10
00
01
10
00
11
11
00
00
10
10
10
00
00
11
11
00
10
10
00
00
10
00
10
10
10
10
00
01
11
10
00
01
01
00
10
00
10
10
00
10
11
01
00
10
11
00
10
10
11
01
01
10
01
10
10
11
10
10
11
10
00
11
00
01
00
00
01
01
10
01
01
10
11
01
10
00
00
01
10
11
00
11
00
01
10
10
00
00
00
01
00
11
00
10
01
10
01
00
00
10
11
00
01
10
11
11
10
00
00
00
10
11
01
10
01
10
10
01
01
01
00
11
10
01
11
11
11
01
11
10
11
00
00
10
00
01
10
10
10
11
11
01
00
10
01
01
10
00
10
00
00
00
00
10
11
01
11
00
10
11
00
10
11
00
10
11
01
00
10
00
00
10
10
10
10
00
00
00
10
01
01
00
01
01
11
10
10
11
00
01
00
10
10
01
00
11
11
00
00
01
11
11
10
00
00
00
00
10
10
00
11
01
10
10
00
01
00
10
10
01
00
00
10
10
00
00
01
10
00
00
00
00
11
00
11
01
01
00
10
00
10
00
00
11
01
01
00
10
00
00
00
10
01
10
11
00
00
11
10
11
00
01
11
00
10
00
10
01
10
00
00
01
11
00
00
10
00
10
10
00
10
00
01
10
10
10
11
01
00
00
00
11
10
00
00
10
10
00
11
01
00
11
00
01
10
10
00
10
10
00
10
10
10
01
01
00
11
10
00
10
11
00
00
01
10
00
10
10
01
01
10
11
01
01
01
11
10
10
01
01
10
10
00
00
00
10
11
00
01
00
00
00
10
00
00
10
11
00
11
10
10
11
00
00
00
00
10
10
01
01
00
11
00
01
11
11
10
00
00
11
00
10
00
00
00
00
10
11
10
10
00
00
00
10
00
10
10
10
11
00
11
00
00
10
01
00
00
10
10
01
00
00
10
00
00
10
11
10
10
10
10
01
01
10
10
11
01
11
00
01
10
00
11
11
00
10
00
10
01
00
11
00
01
00
00
00
01
00
11
01
00
10
10
01
00
11
11
10
10
00
00
10
10
01
00
01
10
10
01
00
00
10
10
00
10
11
00
01
00
01
10
00
00
00
10
10
00
00
11
00
11
10
10
10
10
01
00
11
00
01
01
01
10
11
00
01
11
01
10
11
10
00
10
11
00
01
11
11
00
11
00
11
00
00
10
10
11
01
00
11
10
00
00
11
10
01
00
00
00
00
00
11
00
00
10
00
11
01
00
10
00
10
01
10
11
10
10
00
10
00
01
00
11
11
11
11
00
00
11
11
00
11
10
01
11
10
00
01
00
10
01
01
01
00
11
11
00
00
10
10
00
10
01
11
11
11
10
11
00
00
01
10
10
00
11
10
11
10
01
10
10
00
10
00
00
00
11
10
00
00
00
11
00
11
01
01
00
10
00
01
10
10
00
01
10
10
10
10
11
00
01
01
10
10
00
10
01
00
10
10
00
00
10
00
00
01
00
10
10
10
10
10
10
11
00
00
10
00
11
11
10
10
11
00
00
10
10
01
00
01
00
10
01
01
10
10
00
00
01
10
10
00
11
11
10
10
00
01
10
00
10
10
01
10
01
11
10
01
10
00
11
11
00
10
10
01
01
10
11
10
11
10
10
10
00
00
00
10
11
10
10
10
01
00
10
10
00
11
10
10
10
10
00
00
11
11
00
01
00
11
01
00
11
01
00
10
00
10
10
00
01
10
00
10
00
10
10
11
00
11
10
00
00
00
10
00
00
10
11
10
01
11
00
00
10
10
00
11
01
00
10
10
10
11
01
00
10
00
01
10
10
00
00
10
11
01
00
10
11
00
00
10
01
10
00
00
01
00
11
00
10
10
00
00
10
01
00
10
10
10
00
00
11
10
10
00
00
00
00
10
10
01
10
11
11
10
10
00
11
01
10
11
10
11
10
01
00
01
00
10
10
00
00
10
00
10
10
10
00
11
00
00
00
00
10
00
11
11
11
11
01
10
01
00
10
11
11
00
00
00
10
00
11
11
01
10
10
01
01
01
11
00
11
00
11
11
11
00
00
10
01
01
10
01
11
11
00
01
11
11
11
00
01
10
10
00
01
11
10
10
01
10
10
10
10
00
10
11
01
00
10
10
01
00
01
10
10
10
01
11
10
11
00
00
11
01
00
10
11
00
10
01
11
01
00
00
00
10
10
00
10
10
00
01
00
10
01
10
01
01
10
00
10
10
00
00
10
11
01
10
11
01
00
10
11
11
00
11
10
00
00
00
10
10
01
00
10
00
00
01
10
00
10
00
11
01
00
11
10
01
00
10
01
01
10
10
00
00
00
00
10
00
11
10
10
00
11
00
00
11
11
01
01
00
11
00
00
11
10
01
00
00
10
10
10
10
01
00
11
01
11
11
00
00
00
00
10
10
00
10
10
01
01
01
10
11
00
01
01
10
11
00
00
00
00
10
11
10
10
10
00
00
10
00
00
10
01
01
11
11
10
11
00
10
00
00
11
00
00
00
11
11
00
10
10
10
00
00
10
00
11
01
00
10
00
01
10
11
00
11
00
00
01
00
01
10
00
00
01
00
00
10
00
10
10
00
11
10
10
00
10
11
10
11
01
10
01
10
10
00
00
00
11
10
00
11
00
11
00
11
11
01
11
10
10
01
10
11
00
01
10
10
10
10
01
11
10
00
10
00
11
00
10
10
01
01
11
00
11
10
01
10
00
10
10
10
11
00
01
10
11
11
10
00
00
10
00
00
10
10
00
00
10
11
00
00
00
10
00
10
10
10
10
00
01
10
10
10
00
00
11
10
00
00
01
10
00
01
00
00
01
10
11
10
00
00
00
11
00
00
10
11
10
01
10
10
10
10
10
10
00
10
10
00
01
10
10
11
00
10
00
10
00
10
10
01
11
10
11
01
00
11
00
00
01
00
10
01
00
11
11
11
10
00
00
00
00
11
11
00
00
00
11
01
10
10
00
01
10
10
00
00
10
00
00
10
00
10
11
10
00
01
10
11
00
01
11
11
00
10
00
00
00
11
10
00
00
10
11
01
10
01
01
01
01
00
11
10
00
11
00
01
11
00
01
10
11
10
00
00
10
01
10
00
00
11
10
10
10
10
01
01
10
10
11
00
00
10
10
00
11
01
01
10
10
11
01
01
10
11
01
00
00
10
10
00
00
11
00
11
10
01
01
10
11
00
11
10
10
01
00
11
10
00
00
00
00
10
00
10
10
00
00
10
10
11
10
00
00
11
11
00
00
10
10
10
10
00
00
11
01
11
11
11
11
11
01
00
00
11
10
00
01
10
00
11
10
10
00
01
00
11
01
10
01
01
11
11
11
01
10
10
10
10
10
11
00
00
00
10
10
00
10
01
10
10
00
10
00
10
11
00
10
10
00
01
01
01
10
11
11
00
10
10
10
00
10
10
01
00
11
11
00
10
00
10
00
10
11
00
10
10
10
00
10
10
00
10
10
00
01
00
10
10
00
10
11
00
00
00
01
11
10
10
10
01
10
10
00
00
10
11
10
10
00
00
11
00
10
00
00
11
11
10
10
01
01
11
00
00
11
01
10
10
10
01
10
11
00
00
01
10
00
10
00
11
10
00
11
00
00
00
01
11
00
01
00
01
10
11
00
11
00
00
00
11
10
00
00
10
10
00
00
11
10
00
00
10
11
11
11
00
00
11
00
01
10
00
11
00
11
10
10
01
00
00
10
01
00
00
10
01
00
10
00
10
11
00
01
01
01
10
00
10
00
10
10
00
00
10
10
10
00
10
00
00
11
10
01
10
10
00
10
00
10
11
00
00
10
10
11
01
00
01
00
10
00
00
11
10
00
10
10
01
11
01
10
00
10
11
00
00
11
00
01
00
10
10
10
00
00
01
10
10
11
01
10
10
11
01
10
00
00
10
01
11
00
10
11
00
00
11
10
00
01
10
01
00
10
11
00
01
10
11
01
10
10
00
00
10
01
01
00
11
10
00
11
01
00
01
00
10
11
01
11
01
00
10
10
01
00
01
11
00
10
10
01
00
00
10
11
00
11
01
10
11
10
10
10
10
01
00
00
10
00
00
00
11
10
11
00
00
00
00
11
10
01
11
01
10
10
10
01
11
11
00
11
01
00
10
01
01
11
10
00
10
00
01
10
01
00
00
00
11
10
01
10
10
00
10
11
00
10
10
00
00
10
11
00
01
00
10
10
11
10
10
00
00
10
00
11
00
10
11
01
10
01
00
01
11
01
10
10
11
10
00
00
10
10
00
10
10
00
10
00
10
01
01
10
11
10
11
00
10
00
01
00
10
10
00
10
00
10
11
11
00
01
10
11
01
00
10
10
11
11
10
11
11
00
00
10
10
01
10
10
00
00
00
00
10
11
10
11
00
00
01
10
10
00
00
11
10
01
10
00
00
00
00
10
00
00
10
11
00
01
10
01
01
10
00
10
00
01
01
10
00
01
00
11
00
10
10
00
00
00
10
00
00
00
10
00
11
10
00
00
11
00
00
11
00
00
01
00
10
10
00
10
10
10
11
01
01
10
10
10
10
10
11
00
00
01
11
11
00
00
10
00
10
10
01
00
01
10
11
00
10
00
00
00
11
11
10
01
10
11
10
11
00
00
00
10
00
00
01
10
00
10
00
10
10
00
00
10
11
10
10
00
00
00
00
10
10
00
01
00
10
10
11
01
01
00
10
00
10
10
10
00
01
11
00
10
00
11
01
00
10
10
11
00
10
10
00
10
11
10
00
10
10
11
01
00
10
00
10
01
00
10
01
01
00
01
10
00
10
01
10
11
00
11
10
01
11
11
00
00
01
10
01
11
01
00
00
10
01
10
10
00
00
11
10
11
11
11
10
01
10
10
10
01
00
10
00
00
00
01
11
10
00
10
00
00
01
11
10
01
10
01
10
11
11
10
11
00
01
10
10
00
10
10
01
00
10
10
10
10
00
10
00
10
10
00
00
01
01
00
01
10
00
11
00
00
00
01
10
01
00
00
10
01
01
00
11
11
11
01
00
11
10
10
00
00
10
01
00
10
10
00
00
10
00
00
10
00
10
00
10
10
00
00
01
10
10
10
00
00
10
10
11
11
11
11
00
00
10
11
11
01
00
10
00
00
01
11
10
00
11
10
00
10
00
00
11
11
01
00
10
10
00
01
11
11
00
11
11
11
01
01
11
11
11
10
00
00
00
01
10
11
01
10
11
10
11
10
11
00
10
01
01
01
10
10
00
11
11
01
10
11
01
01
00
11
00
00
10
10
01
00
10
10
10
10
11
11
01
11
11
00
11
10
10
01
01
10
10
01
10
10
11
10
10
00
00
01
10
10
00
10
01
11
00
10
01
10
10
10
00
00
10
11
00
10
10
11
00
01
10
00
10
11
11
10
01
00
01
10
11
00
11
10
10
11
00
00
10
10
00
00
11
00
00
10
10
01
00
11
10
11
00
01
11
00
11
11
10
10
00
10
00
00
11
10
10
00
11
10
01
11
00
00
00
00
10
00
00
10
11
10
10
00
01
00
00
10
01
10
10
11
10
01
00
00
11
00
00
00
00
10
00
11
11
11
00
00
11
00
10
00
00
10
00
00
10
00
01
10
00
00
10
10
01
00
00
11
10
11
00
00
11
00
11
10
00
01
01
01
11
10
11
00
00
10
00
00
10
10
01
00
11
01
00
10
10
00
00
00
10
10
00
00
10
01
00
11
00
01
10
00
10
10
10
10
00
10
10
00
00
01
10
01
11
00
01
11
10
11
01
00
00
11
11
10
00
00
10
10
00
00
10
10
11
00
01
01
00
10
10
10
10
00
00
10
10
01
10
00
01
01
10
01
10
11
10
01
00
10
11
00
00
11
11
00
11
00
10
01
11
11
00
00
10
00
01
00
01
11
00
11
10
00
01
00
11
00
00
11
11
00
10
00
00
10
00
11
01
10
01
00
00
01
10
10
10
00
00
00
10
10
10
01
10
00
00
11
10
11
10
10
11
10
00
00
10
01
01
11
11
00
10
01
01
00
11
10
00
11
01
10
01
00
10
00
01
01
00
11
10
00
00
10
11
00
01
10
10
10
10
10
00
00
11
11
10
00
00
11
10
10
00
00
10
10
01
11
11
00
00
10
11
01
00
01
10
10
11
00
11
00
00
01
10
11
00
11
10
10
00
10
00
00
00
10
10
00
01
00
01
10
00
01
10
00
10
11
01
10
00
10
10
11
00
00
00
11
10
00
00
10
10
10
11
00
01
10
00
10
00
00
10
01
10
11
00
01
10
11
00
11
00
00
10
00
10
00
00
10
10
10
00
11
00
11
10
00
01
10
11
01
00
10
10
00
11
00
00
00
10
00
00
11
01
00
10
10
10
01
10
10
00
10
00
00
10
01
00
01
00
00
00
10
10
00
10
10
10
00
00
01
10
11
11
11
10
01
11
00
00
00
00
10
10
00
00
10
00
11
00
11
00
01
01
10
00
01
11
10
11
00
00
00
00
10
11
00
00
00
11
10
10
10
11
00
10
10
00
11
10
11
00
10
11
00
10
10
01
00
11
01
11
10
00
00
10
11
01
01
11
10
11
01
10
11
00
00
10
10
11
00
10
11
11
10
00
01
00
10
00
11
00
10
10
00
00
01
10
00
00
10
11
01
10
11
01
11
00
00
10
10
10
00
11
00
00
10
00
11
00
10
00
10
11
10
01
10
00
10
10
11
11
11
00
10
00
00
11
10
00
00
10
10
01
10
01
11
10
01
00
01
10
00
10
10
01
11
10
01
00
00
10
00
10
01
00
10
10
01
10
10
11
00
10
10
01
10
11
10
00
00
01
10
00
10
11
11
10
10
11
11
10
00
00
10
00
10
00
01
11
11
11
00
10
10
00
01
10
10
00
01
00
00
00
10
00
10
00
00
00
11
00
10
01
11
00
01
01
11
11
11
01
10
00
10
10
00
00
11
10
11
00
10
01
10
00
01
00
10
00
00
10
10
10
01
10
01
10
00
01
00
10
00
00
01
11
11
00
10
11
00
10
00
10
10
11
11
10
11
01
00
11
11
11
10
00
01
00
10
10
11
10
10
00
10
11
10
10
00
10
10
00
10
01
10
11
00
00
00
11
00
10
11
01
00
10
00
10
00
10
10
00
10
10
10
00
00
00
00
11
00
00
00
00
11
00
01
10
10
01
10
11
11
11
00
01
11
11
00
11
10
00
00
00
10
01
01
00
01
11
00
10
01
00
00
11
11
10
11
11
11
11
00
10
01
00
01
01
11
10
10
00
11
00
01
00
10
10
00
10
10
11
00
11
00
00
10
01
10
01
11
10
10
01
10
00
10
10
00
10
10
01
01
10
11
01
00
11
00
10
00
00
11
10
10
00
10
11
00
00
10
00
01
10
01
10
10
11
00
00
00
00
10
01
00
00
10
00
00
01
00
10
10
01
01
10
10
00
00
00
01
10
10
00
11
01
00
10
10
10
00
10
01
00
11
10
00
00
11
11
00
10
10
10
11
10
01
10
00
10
11
11
10
10
01
10
11
10
10
00
11
10
00
11
10
01
01
01
01
10
11
00
11
10
01
00
10
10
10
11
00
01
10
00
10
10
00
00
00
10
01
11
00
00
11
10
00
00
11
10
01
01
11
10
10
10
00
01
00
00
10
00
01
11
00
11
11
10
00
00
10
01
11
11
11
00
00
00
00
00
10
00
00
11
11
01
11
00
00
01
01
01
00
11
10
11
00
10
10
01
10
10
01
00
01
10
00
11
10
00
00
01
10
00
11
10
00
01
10
10
11
01
10
00
00
00
10
01
00
11
11
00
00
01
10
11
00
01
10
00
01
00
01
10
10
01
00
00
11
10
11
10
00
11
11
11
10
11
00
00
10
00
00
11
10
10
10
11
00
00
00
00
10
10
10
11
10
00
01
10
10
01
10
01
10
10
00
00
10
11
10
10
01
10
00
10
10
00
01
10
10
10
10
00
00
01
10
11
00
01
00
11
00
00
10
11
01
01
10
10
00
10
01
01
11
01
01
11
10
01
00
10
10
10
01
00
10
10
00
11
10
10
01
01
10
11
01
00
11
10
00
10
01
00
00
10
11
00
00
10
00
10
10
01
11
00
10
00
00
00
00
10
00
11
10
11
01
00
11
00
00
00
00
11
10
11
00
00
11
00
00
00
10
11
01
10
11
00
11
11
00
01
11
10
00
01
11
10
00
11
00
00
11
01
00
10
10
00
01
11
11
11
01
10
11
00
00
00
10
10
01
10
10
00
01
10
11
10
01
11
10
00
00
01
10
11
01
00
10
00
01
11
11
01
10
10
00
00
01
10
10
00
00
10
10
11
11
00
00
10
11
00
00
00
00
11
10
00
00
10
00
00
10
10
00
01
01
00
00
00
10
10
00
10
10
10
00
11
01
00
11
00
00
00
00
01
00
11
11
11
01
11
10
10
11
00
10
11
00
00
00
10
10
00
01
01
10
00
00
10
10
00
00
10
00
11
11
00
11
10
10
10
00
10
00
00
10
10
00
00
11
10
10
01
10
10
10
11
10
10
11
00
11
10
01
01
00
11
01
00
00
10
11
00
00
11
10
01
10
11
11
10
10
10
01
00
00
11
10
01
01
11
11
00
10
10
01
10
00
00
10
00
00
00
11
10
01
00
00
00
11
00
01
01
11
10
11
00
11
00
00
10
10
00
00
00
10
00
11
10
00
00
00
01
10
01
00
01
00
11
10
10
11
11
10
00
00
10
00
11
10
00
00
10
10
10
00
10
00
11
10
10
01
11
10
11
00
01
10
10
00
00
01
00
10
10
11
11
00
10
00
11
00
10
01
00
00
00
01
11
10
10
00
01
00
01
10
00
00
01
10
10
01
00
00
10
10
11
00
00
10
10
01
10
11
00
10
10
10
01
00
10
10
10
00
11
10
00
10
00
01
11
00
00
00
10
11
10
10
11
00
00
00
11
01
01
10
00
11
10
11
00
00
11
10
10
01
11
11
10
00
00
01
01
01
10
01
10
01
01
01
11
11
10
00
10
11
00
11
10
01
00
10
11
00
10
10
11
10
10
00
11
10
11
01
00
00
00
11
01
00
10
01
00
10
10
10
11
01
01
00
00
00
00
00
01
10
10
00
10
00
10
11
10
01
00
11
10
00
11
11
00
01
10
10
00
00
10
10
00
00
10
00
10
00
10
11
00
10
10
11
10
11
10
01
10
10
10
10
00
01
00
10
10
10
00
00
00
00
10
01
10
10
00
10
10
11
11
00
00
10
10
01
11
11
10
01
00
00
00
00
10
00
01
10
00
11
01
00
00
00
11
00
11
11
10
11
00
10
00
01
10
01
00
11
10
00
10
10
11
00
01
10
11
10
11
00
01
10
10
10
01
01
10
00
01
00
00
00
11
00
01
11
00
10
10
10
00
00
11
00
10
10
01
01
11
11
11
11
10
10
01
10
00
01
11
10
10
01
00
00
10
00
10
01
01
11
11
10
00
11
00
00
01
11
10
01
10
01
00
00
10
01
11
00
00
11
01
11
00
11
01
01
10
00
01
10
10
11
00
01
00
10
01
10
10
00
11
10
00
00
00
00
11
01
00
10
00
00
10
11
00
00
10
11
00
00
00
10
10
01
10
11
00
10
10
10
11
01
00
10
11
11
11
00
00
01
10
10
01
11
11
00
10
00
00
00
11
11
01
01
10
10
01
01
10
01
00
10
00
10
00
00
00
10
01
00
10
10
10
01
11
10
10
01
10
10
00
00
10
00
10
10
10
01
11
00
01
00
11
10
10
10
01
00
10
00
01
00
10
10
00
10
00
00
10
11
10
11
10
01
10
00
10
11
10
10
10
00
01
01
11
00
00
11
01
00
01
10
10
00
10
11
00
00
11
00
11
00
01
10
01
01
00
10
10
10
00
10
10
01
00
11
00
10
11
10
00
00
10
11
10
00
10
00
01
00
00
10
11
01
00
01
11
10
00
00
10
00
01
11
10
01
11
11
00
10
10
10
11
00
10
11
00
10
00
01
11
11
00
00
10
10
00
10
11
01
01
11
01
11
10
00
01
10
11
01
10
01
00
00
00
10
00
10
11
00
01
01
00
10
10
00
00
00
10
10
00
10
01
10
10
00
01
10
10
11
10
10
01
10
00
01
11
10
01
00
00
11
00
10
10
01
00
00
00
10
10
00
00
00
00
00
10
00
00
10
11
00
00
00
01
10
11
00
00
10
10
11
00
00
11
10
10
10
11
11
10
01
00
00
00
10
01
10
10
00
00
00
11
10
00
10
10
11
10
00
11
01
00
11
00
01
01
10
11
00
01
10
10
00
00
01
11
11
01
00
11
11
01
01
00
10
10
00
10
00
00
10
10
10
01
00
11
00
10
01
00
10
00
10
11
10
10
01
10
10
00
00
11
10
11
00
01
00
10
10
01
10
11
10
00
01
01
10
01
10
10
10
01
11
00
11
10
01
10
11
10
11
01
00
01
01
10
10
00
00
01
01
11
10
01
00
00
00
00
10
10
00
00
11
00
00
00
00
11
00
10
10
11
11
00
10
01
10
11
00
10
10
00
11
00
01
11
01
10
00
00
10
10
01
01
11
00
10
11
10
10
00
00
10
10
10
00
00
11
10
10
11
10
01
00
10
10
00
11
00
01
11
01
00
10
01
10
10
00
10
10
10
11
00
00
01
11
01
01
00
01
00
01
11
11
10
00
00
00
01
10
00
11
11
11
10
00
01
11
11
00
00
10
00
00
10
10
00
00
01
10
00
00
10
01
11
00
00
10
00
11
00
10
10
11
00
01
10
00
10
01
00
10
11
01
11
11
01
11
10
01
10
11
00
01
11
10
10
10
01
01
01
11
11
01
10
10
00
10
00
00
10
10
01
00
10
10
11
10
00
00
00
00
11
10
00
10
00
00
10
10
10
00
00
10
01
00
10
01
10
11
10
00
00
10
10
01
11
11
01
00
00
00
11
10
10
01
11
01
11
00
00
11
00
10
00
00
10
10
11
10
01
00
00
11
00
10
10
10
00
01
11
11
10
10
10
00
00
11
01
01
10
01
10
11
00
00
10
10
00
01
11
10
10
00
01
00
10
10
00
01
01
00
10
10
00
10
00
00
00
11
10
10
10
10
10
11
10
01
11
11
00
00
10
11
10
00
00
01
00
10
00
00
11
10
01
00
01
10
10
10
00
11
11
10
01
11
11
10
11
11
00
00
10
01
01
00
01
10
11
10
10
00
00
10
11
10
00
00
10
00
10
11
10
11
10
01
10
00
10
11
10
01
01
10
11
00
00
11
10
00
01
10
11
10
01
10
11
11
10
10
01
01
00
10
10
11
00
10
10
00
10
10
10
10
10
00
01
01
01
01
10
01
10
01
10
11
10
00
10
10
00
00
00
11
10
10
01
00
11
10
11
01
10
10
00
01
10
11
00
10
00
10
10
00
10
11
00
00
10
10
10
01
00
10
11
11
00
01
00
10
11
00
00
00
10
00
01
00
10
00
01
01
11
01
00
11
10
01
11
11
00
00
10
10
01
00
00
10
11
10
01
00
10
10
01
01
00
10
00
10
01
11
10
01
00
10
10
00
10
00
00
00
00
10
00
00
11
10
00
00
10
10
10
10
00
01
11
11
01
10
10
11
10
00
00
10
10
01
00
00
01
01
10
10
10
00
00
10
10
10
00
01
00
11
10
11
01
10
10
01
10
11
00
00
00
01
01
10
01
11
00
01
01
10
10
00
01
00
01
00
00
10
10
00
01
10
00
10
11
00
00
01
10
10
00
00
10
11
01
01
11
10
10
10
00
00
00
10
00
00
10
10
11
10
01
00
11
00
00
10
00
00
10
10
11
01
00
10
01
10
10
00
00
11
11
11
10
00
11
10
11
10
00
01
11
00
10
00
00
10
00
11
10
01
10
11
01
00
10
01
01
10
10
00
11
01
01
10
01
10
00
11
10
11
00
10
00
10
00
10
10
00
10
01
01
10
01
01
10
10
10
00
00
10
11
11
00
00
01
10
10
10
11
00
10
10
00
10
10
10
01
10
10
00
00
11
11
00
01
00
11
01
10
00
00
00
11
11
00
10
11
10
00
00
10
00
01
11
00
00
00
00
00
00
10
11
00
11
10
01
11
10
00
01
01
11
01
00
10
10
00
00
10
11
00
10
10
10
01
10
10
10
00
01
10
10
00
11
00
00
01
11
01
10
00
10
10
00
00
01
11
01
10
10
10
11
00
00
10
10
00
10
00
11
10
00
00
11
00
10
10
00
00
01
00
11
10
00
11
00
10
11
01
00
11
10
11
01
00
10
00
10
10
00
11
10
11
10
00
01
00
10
00
00
10
10
00
11
00
00
11
01
10
00
10
10
10
11
01
00
00
10
01
11
01
01
10
11
00
01
00
11
10
00
01
10
11
01
01
10
10
00
00
01
10
11
01
10
10
11
00
00
10
10
10
10
11
01
10
10
00
10
01
01
11
01
00
10
00
10
10
00
00
10
00
00
00
00
01
00
10
00
11
00
10
10
11
10
11
11
10
10
00
11
10
00
01
10
10
00
11
00
10
11
11
01
00
00
00
01
00
11
10
10
10
01
11
10
10
00
00
10
10
11
01
10
00
10
10
11
00
01
11
00
11
10
10
00
10
11
00
01
10
00
10
11
01
10
11
10
00
00
10
11
00
10
11
10
10
01
00
00
00
00
00
01
10
00
10
10
00
11
10
01
01
00
10
00
10
10
10
00
00
01
00
10
10
00
10
11
00
00
11
10
01
10
11
00
11
00
01
10
10
01
01
10
10
01
11
10
11
01
01
10
00
00
10
10
01
11
10
00
00
01
10
10
10
11
00
11
11
00
00
00
00
10
10
00
00
00
01
01
00
00
00
00
11
00
10
00
11
00
10
10
00
00
10
10
10
10
01
01
01
00
00
01
11
00
01
10
10
00
00
00
00
10
11
11
11
10
00
11
11
00
00
10
10
00
10
00
10
10
10
00
10
10
00
00
10
10
10
00
00
11
11
11
00
10
10
01
10
10
10
01
00
01
11
10
10
00
10
10
10
00
00
10
00
00
00
10
11
01
10
11
01
10
10
10
00
10
10
00
11
01
00
11
11
00
01
01
01
10
01
00
10
10
00
10
10
10
10
11
00
10
10
00
00
10
00
10
11
00
01
10
10
01
11
00
10
00
11
10
01
01
00
00
10
01
10
00
01
11
10
01
10
10
00
00
01
10
11
10
10
01
01
10
11
01
01
10
11
00
01
10
11
11
01
01
00
10
11
10
01
00
11
10
00
11
00
11
10
10
01
00
10
00
11
10
00
00
01
10
01
10
10
11
10
10
01
11
10
01
10
10
01
00
00
10
00
10
11
11
00
11
10
00
01
00
01
10
11
00
01
00
10
01
00
10
10
10
01
01
00
10
10
00
10
10
00
10
10
00
10
01
10
11
10
00
00
01
10
10
01
10
00
00
00
11
10
00
01
00
11
01
11
10
00
00
10
11
00
11
11
11
10
11
00
01
00
10
10
00
11
00
00
10
01
11
01
00
10
00
01
00
10
01
00
00
00
10
10
10
10
10
11
01
00
00
00
11
10
10
11
01
10
10
01
10
00
10
10
00
00
10
00
11
00
10
10
00
01
10
11
00
00
10
10
10
00
10
10
10
01
01
00
01
10
11
10
00
01
00
01
10
10
00
01
10
00
01
10
01
10
10
00
01
11
10
00
00
01
10
10
00
11
00
01
10
01
10
00
10
00
01
10
10
01
00
00
10
01
11
11
10
10
10
00
10
01
00
10
10
00
00
10
00
00
00
11
10
01
11
11
10
00
10
11
10
01
01
00
10
01
10
10
11
00
10
01
10
10
10
01
01
00
10
11
01
00
00
00
00
10
10
01
01
01
10
10
00
10
11
11
00
11
10
01
00
00
00
10
00
00
11
10
11
00
11
01
10
11
10
00
00
00
11
10
01
00
10
00
00
10
01
11
10
00
01
00
01
00
11
11
00
10
01
10
00
00
11
10
10
00
01
00
10
01
10
10
00
10
00
01
00
01
00
00
10
11
10
10
00
00
00
10
10
01
01
10
00
01
10
10
00
10
11
00
01
00
00
11
00
01
11
01
00
00
00
10
00
00
10
10
00
10
11
11
11
00
10
00
10
01
00
01
01
00
00
00
10
00
10
11
11
01
00
10
11
01
10
01
01
10
00
01
00
00
10
10
10
00
11
00
10
10
10
10
10
00
00
00
01
10
10
00
00
11
00
01
11
01
10
00
00
10
01
00
11
00
01
00
00
10
00
11
10
10
00
01
00
10
10
00
00
10
11
10
01
01
10
10
00
10
00
01
10
10
10
01
10
00
00
11
10
11
01
01
00
00
10
10
11
00
11
10
00
10
10
10
11
00
01
01
00
10
11
00
00
11
10
00
10
11
11
00
00
10
00
01
10
10
00
00
00
11
00
10
10
00
00
00
00
11
01
11
10
10
00
00
00
10
00
00
10
11
01
10
11
10
10
11
00
01
01
10
10
10
01
11
00
00
10
11
00
10
10
00
11
00
10
11
10
01
01
11
01
00
00
10
10
10
00
00
10
11
10
10
00
10
10
00
10
00
00
10
10
11
11
11
01
11
00
00
01
00
10
10
10
11
00
00
01
00
11
00
11
10
01
00
10
10
00
10
10
10
00
01
01
10
01
10
00
10
00
10
10
00
01
10
10
10
01
11
01
01
11
01
00
10
00
00
01
10
11
01
00
01
00
00
00
10
10
00
10
10
11
11
00
10
11
00
11
10
11
01
10
11
11
11
00
10
00
10
10
01
00
01
11
01
10
11
00
00
01
10
11
00
00
00
10
11
11
00
00
00
11
00
01
10
11
00
00
01
01
01
10
01
10
10
00
00
10
10
00
10
11
00
01
10
01
00
00
00
10
01
00
00
00
11
10
11
11
00
01
00
10
10
11
00
10
00
00
10
00
10
00
10
00
10
10
00
10
10
00
11
00
10
10
10
00
10
00
10
10
10
10
10
00
00
11
00
10
00
01
00
00
11
01
10
10
00
10
10
10
10
00
00
10
10
01
00
01
00
10
10
10
01
10
10
00
00
11
10
10
10
11
00
11
10
00
01
10
01
10
10
01
00
00
00
00
10
01
10
10
00
00
10
00
10
10
10
00
10
00
00
00
00
00
01
01
00
01
10
10
10
00
01
00
10
00
01
00
11
10
11
00
11
10
01
11
10
00
10
01
00
10
10
10
11
00
10
10
00
00
00
10
01
01
01
10
10
00
11
10
11
01
01
10
11
01
00
00
10
10
11
01
00
00
11
00
00
10
11
00
10
00
00
00
10
11
10
10
10
11
00
01
00
10
11
00
11
00
00
10
01
01
00
01
11
01
01
01
00
00
00
10
00
10
10
00
00
10
11
10
10
01
11
01
10
11
00
11
00
00
11
10
11
10
10
01
10
01
10
01
00
11
10
00
01
11
11
11
11
00
00
00
10
00
00
11
11
00
00
10
11
00
00
01
01
00
00
10
10
01
10
10
00
00
11
00
00
10
11
01
10
11
00
00
01
10
00
01
10
11
10
11
00
11
11
00
11
10
10
00
00
00
10
00
00
01
11
11
00
10
11
10
10
10
00
00
01
10
01
00
00
00
00
00
10
00
00
10
00
00
10
00
10
00
10
11
11
11
10
01
10
00
10
01
00
10
10
01
01
01
10
11
10
00
01
10
00
01
00
10
00
01
01
11
10
11
10
11
10
01
00
10
10
00
00
11
10
00
10
00
01
00
10
10
11
11
00
10
01
00
11
00
00
10
10
00
10
00
00
00
11
11
00
00
01
10
10
00
11
10
00
01
00
10
11
10
01
00
11
00
01
01
10
10
11
11
01
10
10
10
00
01
10
11
10
01
01
00
10
00
00
01
00
10
00
00
01
10
10
01
00
11
01
00
10
01
01
10
10
10
10
01
00
11
00
11
10
11
10
00
01
00
11
11
00
00
00
00
00
00
10
00
01
00
10
10
00
00
00
00
10
00
10
10
01
00
10
10
01
11
00
00
11
00
10
00
00
11
00
00
11
00
10
00
00
10
00
10
11
00
00
11
10
00
11
10
11
10
00
00
11
10
00
00
10
00
00
10
11
11
00
00
01
01
11
11
00
10
01
11
00
00
10
10
10
00
11
10
00
10
11
00
00
11
00
10
10
10
00
01
00
10
00
00
00
10
00
00
10
11
11
00
00
01
01
10
10
00
10
00
10
10
00
00
10
00
10
11
00
00
00
11
00
00
00
01
10
11
11
10
11
10
10
01
01
11
11
01
00
00
01
11
11
01
00
10
11
00
00
10
10
11
10
00
00
01
11
00
00
10
10
00
00
00
10
00
00
00
10
10
10
01
10
11
10
11
00
01
00
01
10
01
10
10
01
10
10
01
10
00
10
10
01
01
10
10
10
00
10
11
00
11
10
11
10
11
10
10
01
00
00
00
00
11
00
01
10
00
00
11
00
00
00
11
01
11
10
01
10
01
00
10
11
01
01
10
10
01
01
10
10
00
00
00
00
01
11
10
11
00
01
00
01
10
11
00
00
10
11
00
01
10
01
00
11
10
10
11
01
10
11
00
01
10
11
10
00
10
10
00
11
11
00
00
10
11
10
11
00
10
10
10
01
00
10
10
10
00
11
00
00
00
11
01
10
11
10
01
11
00
10
11
10
00
00
01
11
01
10
10
00
11
00
10
11
01
10
01
11
10
00
11
10
11
10
00
00
01
11
00
00
11
10
01
10
11
01
10
10
00
10
11
10
01
01
11
11
10
01
00
00
10
10
00
00
10
10
10
00
00
00
01
11
11
01
00
01
11
10
10
10
01
01
10
10
00
00
00
01
10
11
10
10
01
01
11
00
00
11
11
11
00
00
10
01
00
01
00
10
10
00
10
10
10
00
10
10
10
00
10
11
10
10
01
10
00
11
10
00
11
10
00
01
00
00
01
10
11
00
10
11
00
01
00
00
10
00
10
10
00
00
01
10
11
10
10
01
10
10
01
01
11
11
00
00
00
10
11
10
00
00
10
01
10
10
00
00
10
01
00
00
10
10
00
00
00
10
00
00
10
01
10
00
01
00
00
00
10
11
10
00
00
01
11
10
00
10
01
01
00
10
11
01
10
10
00
00
10
10
01
00
10
10
10
00
01
00
10
00
00
11
11
11
10
10
00
00
01
10
00
00
10
00
10
10
10
11
01
00
00
00
11
00
10
11
00
10
10
10
01
11
11
01
10
00
10
11
01
00
10
11
00
01
00
00
11
00
11
10
00
00
00
00
10
10
00
00
00
00
11
10
10
00
10
10
11
01
00
10
11
00
00
10
10
00
01
11
01
00
00
11
10
01
10
10
00
10
10
01
00
10
10
11
00
10
01
10
11
00
10
00
00
10
01
11
11
01
01
00
00
00
11
10
00
10
10
01
11
11
11
11
01
00
10
10
00
01
01
10
10
10
00
00
10
10
11
10
00
00
00
01
01
01
01
00
10
11
10
10
10
11
01
11
00
00
00
00
00
00
10
10
10
10
10
11
10
00
11
00
01
10
00
01
10
10
00
00
11
10
10
10
00
01
00
00
00
10
11
00
00
11
10
01
00
00
11
10
01
11
00
10
00
00
10
10
00
00
10
00
00
01
10
10
11
01
00
11
00
00
01
11
00
00
10
11
01
11
11
10
00
00
00
11
10
00
00
00
10
10
01
01
00
10
00
00
11
11
00
10
10
00
00
00
00
10
11
00
00
10
01
11
01
10
10
00
01
00
11
11
00
00
11
10
01
11
11
01
10
01
00
11
10
11
00
01
10
10
00
11
11
00
10
10
00
00
00
10
10
00
01
00
01
00
00
00
10
11
01
00
10
10
10
11
01
10
10
11
00
10
01
01
00
00
10
11
00
11
00
00
00
10
10
11
00
00
10
10
01
00
10
11
11
01
11
00
01
00
11
11
00
10
10
00
00
00
10
00
11
11
10
00
01
01
11
10
01
10
10
00
11
10
00
10
11
10
00
01
10
10
10
11
10
10
00
01
00
10
11
10
00
00
10
01
10
01
00
00
11
10
01
11
10
01
01
00
10
11
10
00
00
11
00
00
00
10
11
00
00
10
10
01
00
10
11
00
11
00
10
11
11
01
00
11
10
01
01
10
01
10
10
00
00
00
01
10
01
01
10
10
10
00
00
10
10
00
00
00
11
01
10
00
10
10
10
00
00
10
10
00
00
11
01
00
01
01
10
11
10
01
11
11
00
00
10
10
11
10
00
00
10
10
10
00
10
11
10
01
01
11
10
10
11
00
11
10
11
10
10
01
10
10
01
10
10
01
00
00
00
11
00
00
00
10
00
00
00
00
10
10
10
00
11
10
11
10
10
00
10
10
00
10
11
01
10
00
11
00
10
01
11
10
10
01
10
00
01
00
10
11
10
01
00
00
00
00
10
11
11
00
01
00
11
10
01
10
10
10
00
11
10
00
00
00
11
10
10
00
11
00
00
10
11
10
10
00
01
00
00
00
00
00
00
11
01
11
00
00
10
10
10
10
11
00
10
10
00
10
01
10
00
10
10
00
01
00
10
11
01
11
10
01
00
10
10
10
11
00
10
01
01
10
11
10
10
01
01
11
00
10
00
10
01
10
10
00
11
10
11
11
00
00
10
10
11
01
00
01
01
10
11
11
00
00
11
01
10
01
00
01
00
11
10
00
00
10
01
00
11
11
00
10
10
00
00
01
10
00
10
10
10
10
00
01
00
11
10
10
01
01
10
11
10
01
10
00
01
10
00
01
00
11
01
00
00
01
00
00
00
10
10
00
10
00
00
11
10
10
00
10
00
11
11
00
10
11
10
00
00
10
11
10
10
01
00
00
11
01
00
10
11
00
10
10
00
01
10
10
10
11
00
11
11
10
11
00
10
00
00
10
11
10
00
11
01
00
10
10
10
00
10
00
00
01
10
00
10
00
01
00
11
10
10
10
11
00
11
00
01
10
00
10
01
01
00
00
10
00
10
01
00
00
00
10
01
10
10
10
11
00
00
11
00
00
00
11
00
10
00
10
11
00
00
01
00
01
11
10
10
10
10
00
11
10
00
00
00
11
00
10
10
10
11
00
01
00
10
10
10
00
10
01
00
10
00
00
10
10
01
00
10
11
10
10
01
10
10
00
10
10
10
11
11
00
10
00
10
00
00
00
10
10
01
11
11
10
00
00
10
11
10
10
00
00
01
11
00
01
01
11
11
00
01
10
00
10
00
00
10
00
00
10
10
11
00
10
10
11
00
11
10
00
10
10
00
11
00
00
00
00
10
11
11
01
00
00
10
10
00
00
11
11
00
01
11
11
00
10
10
00
01
11
01
00
10
01
00
00
01
10
11
11
11
10
00
00
01
10
01
10
11
00
00
00
10
00
01
00
10
11
01
01
00
11
00
10
10
01
01
11
11
00
00
10
11
10
00
01
00
10
10
00
00
01
00
10
10
10
11
00
10
00
01
10
10
00
10
00
10
00
00
00
10
00
10
11
00
00
10
01
10
11
10
10
10
01
01
00
00
10
00
11
10
11
00
00
00
01
10
01
11
11
01
00
00
00
11
00
10
10
01
00
10
11
01
10
00
01
10
01
10
00
00
00
00
11
01
01
01
00
01
11
10
01
11
10
01
00
00
00
10
10
10
00
01
10
01
00
11
10
10
10
01
00
10
10
00
11
00
10
10
01
00
10
10
01
11
01
10
00
10
10
10
11
11
00
11
11
01
00
10
00
01
00
00
00
10
10
00
00
00
00
11
10
01
10
10
10
01
10
10
01
01
10
00
11
00
11
10
00
11
10
00
01
00
11
00
00
00
00
00
00
01
11
01
10
00
10
11
00
00
10
10
00
11
10
01
10
10
10
10
11
10
01
00
10
01
00
00
01
10
10
00
10
01
10
11
00
10
10
11
00
10
11
01
00
10
00
11
00
10
00
00
00
10
10
00
00
10
10
01
11
11
11
00
01
00
11
11
11
00
00
10
10
01
00
10
11
01
01
00
00
00
01
00
00
01
10
11
01
00
11
01
10
00
11
10
11
00
00
00
10
10
00
10
11
00
01
11
11
11
11
11
10
00
00
00
10
11
00
01
10
00
11
00
10
10
10
01
10
10
10
10
00
00
00
11
10
00
10
00
00
11
11
00
10
10
10
01
00
00
10
01
00
10
10
10
00
00
01
10
11
00
00
10
00
00
11
10
00
00
10
01
11
10
00
00
01
00
10
00
10
01
11
00
11
00
01
00
10
10
01
00
11
10
00
10
00
10
10
11
00
00
00
10
10
10
10
01
10
11
00
11
10
01
11
00
10
10
10
01
10
11
00
01
00
10
00
00
00
10
10
01
10
10
10
00
11
10
11
10
10
10
01
01
11
01
00
10
00
00
10
10
00
00
00
00
10
10
00
00
10
01
10
11
01
00
11
10
01
00
10
10
00
00
11
11
00
00
00
10
00
01
01
00
11
10
01
00
00
11
00
01
11
10
00
11
10
00
00
10
10
00
00
00
10
10
11
01
00
11
00
10
11
10
00
10
00
11
01
00
10
11
00
01
10
01
11
00
00
11
11
01
11
10
10
10
01
01
00
01
10
00
11
01
01
11
00
00
00
10
11
10
00
00
01
11
10
00
01
00
10
00
00
00
10
10
10
01
00
10
00
10
00
01
10
01
10
01
10
11
10
10
01
10
00
10
10
00
00
10
10
10
10
10
00
01
10
01
01
11
00
11
01
00
01
11
00
10
10
00
00
10
10
00
00
10
10
01
10
10
01
11
00
10
11
00
10
11
00
10
11
00
00
00
10
10
11
00
01
11
00
01
10
00
10
10
00
01
10
00
01
11
01
10
01
10
01
11
00
00
10
11
00
10
11
00
00
00
01
01
10
00
01
10
00
11
10
10
10
10
01
00
01
00
01
10
11
00
10
00
00
00
10
10
00
00
11
10
10
10
10
10
11
11
00
10
10
00
00
00
00
10
10
00
10
10
01
10
00
00
10
10
01
00
10
11
10
10
00
10
01
00
00
00
01
00
10
10
10
10
10
00
00
11
10
01
00
10
11
11
11
11
10
00
01
10
11
10
00
01
11
10
11
10
00
01
00
11
10
00
01
01
10
11
11
00
01
11
11
00
00
11
10
11
00
01
10
10
00
10
01
01
01
00
11
10
01
10
10
10
01
01
00
11
10
00
01
00
10
10
01
00
00
10
00
11
01
01
10
01
00
10
11
01
10
11
00
00
10
10
10
10
10
00
00
11
00
10
01
00
11
01
00
00
00
11
10
10
00
10
10
00
00
11
01
11
00
11
00
11
01
10
10
00
00
11
10
01
00
00
00
01
00
11
10
01
00
00
10
01
00
10
10
11
10
01
00
10
11
10
11
00
00
10
11
10
00
10
10
00
10
10
01
10
01
00
00
00
10
01
00
00
10
11
01
10
01
00
11
00
00
10
11
00
01
00
10
01
11
10
00
00
10
10
10
11
00
01
10
11
10
10
10
10
00
01
10
10
11
01
10
10
01
10
00
01
00
10
00
10
11
10
00
00
11
01
01
11
00
10
10
00
10
00
00
11
01
00
10
10
00
10
11
00
10
10
00
10
10
10
01
10
10
10
01
01
00
00
11
10
10
10
00
00
11
10
00
00
10
10
01
00
11
10
10
01
00
00
01
01
01
10
10
01
10
10
10
00
01
00
10
00
00
11
00
10
00
11
10
01
00
11
01
01
10
00
11
11
00
01
00
10
00
11
11
10
00
00
01
10
00
01
00
00
10
00
10
11
00
10
10
10
01
10
01
01
10
10
00
01
10
01
01
11
10
00
01
00
00
11
11
10
00
00
01
00
10
00
01
00
00
00
10
10
00
01
11
10
00
10
11
01
00
10
00
00
10
00
11
11
00
00
11
10
11
01
10
01
11
11
01
10
00
00
10
10
00
00
10
10
00
01
10
00
11
10
01
00
01
11
11
00
01
10
11
10
10
10
10
00
11
11
00
00
10
00
01
00
11
10
00
01
00
10
10
10
01
00
00
10
00
00
00
01
11
10
01
11
01
01
11
00
10
01
01
10
11
00
01
10
10
00
11
10
00
00
10
10
11
11
00
01
10
10
00
00
10
11
00
01
00
10
00
10
00
01
00
00
11
10
00
01
01
11
01
10
00
00
01
00
00
10
01
01
10
11
01
00
10
10
00
00
10
00
01
10
01
10
00
10
00
00
00
10
11
10
11
00
00
10
10
01
11
10
00
00
00
11
01
00
11
00
10
00
10
11
11
10
00
10
11
00
11
11
10
01
00
00
10
10
00
10
01
10
11
10
01
11
11
10
00
10
11
00
10
00
00
00
00
11
10
11
00
01
01
01
10
11
01
10
10
10
00
10
00
01
10
00
10
01
00
00
00
00
00
00
10
11
00
00
11
00
10
00
01
00
10
01
10
10
11
10
00
00
01
00
00
11
11
10
10
10
00
10
00
00
11
11
00
11
00
10
10
10
00
01
11
11
01
00
11
10
00
00
10
10
00
00
10
10
00
11
00
11
10
11
01
11
01
00
01
10
10
10
11
00
01
01
10
10
10
10
01
00
10
10
00
00
11
00
10
10
10
11
00
01
00
00
10
00
00
00
01
00
01
00
11
11
01
00
00
11
11
00
00
11
00
00
10
00
10
10
10
10
11
00
10
10
01
00
00
00
11
10
01
00
00
11
01
00
10
10
00
01
00
00
10
11
01
11
11
00
11
01
10
00
10
10
00
10
10
00
00
00
01
10
11
00
00
00
10
11
01
00
10
11
00
00
10
10
01
01
00
10
10
00
00
01
10
00
00
11
00
00
10
00
10
10
10
10
10
10
00
11
10
01
00
00
10
00
00
01
00
11
10
11
11
00
11
11
01
10
11
01
10
10
00
00
10
10
00
01
10
11
10
11
01
10
01
11
00
00
10
00
00
11
11
11
01
00
00
00
11
10
00
00
10
00
10
10
00
00
10
10
00
01
10
11
11
10
11
00
11
10
00
00
10
11
00
01
10
10
10
00
01
11
11
11
10
00
11
00
10
00
01
10
01
01
11
10
11
11
11
10
10
10
00
10
11
00
01
01
10
10
00
00
00
01
11
01
11
00
00
11
11
01
10
10
00
10
10
00
11
10
11
01
01
00
00
10
10
10
00
10
10
00
01
10
10
00
00
10
11
00
10
11
00
00
00
11
00
01
10
10
00
11
00
01
00
11
00
00
00
11
10
01
10
11
00
11
00
01
00
11
00
10
00
00
10
11
00
00
10
01
00
10
00
10
11
10
11
11
00
00
00
01
10
11
00
01
11
11
11
00
00
10
01
00
10
11
01
10
10
00
00
01
11
10
00
10
11
00
10
10
00
00
00
10
10
00
00
11
11
10
00
10
11
00
00
10
10
10
10
10
00
00
10
00
10
10
00
01
00
10
11
00
00
00
00
11
11
00
01
10
10
00
00
01
11
10
00
00
00
00
01
10
10
10
10
00
10
11
00
11
10
00
00
00
10
01
00
10
10
00
10
10
10
00
10
00
00
01
10
11
00
10
11
10
01
00
10
11
11
01
00
01
11
10
00
10
10
00
11
00
00
10
10
11
00
00
11
00
00
00
01
10
11
11
11
00
10
01
01
10
10
00
10
10
11
10
01
00
10
01
00
10
10
00
10
11
10
10
10
10
10
00
00
11
10
10
01
10
11
01
01
00
00
00
11
10
00
01
10
10
01
10
10
00
00
00
01
11
00
01
10
00
01
10
10
11
10
10
01
00
00
01
01
11
00
10
10
10
01
00
10
10
11
00
00
00
11
00
01
10
01
00
00
11
01
01
11
01
00
00
10
00
00
10
10
00
00
00
11
00
00
11
00
11
10
11
00
10
00
00
00
10
11
10
00
00
11
00
01
00
11
00
01
11
10
01
10
10
00
10
00
00
01
10
01
10
11
00
00
11
01
11
10
00
00
00
01
10
11
10
10
00
10
10
00
00
11
00
00
10
10
00
10
10
00
00
10
11
00
00
10
10
10
00
00
10
00
10
00
01
10
00
00
11
01
01
00
11
10
01
01
11
11
01
10
00
00
01
10
11
01
00
11
11
00
00
10
11
00
10
10
10
00
11
11
00
11
10
11
01
10
00
00
10
10
00
01
10
00
11
11
01
10
10
01
00
10
11
01
01
00
00
10
00
10
00
01
11
00
01
00
01
00
11
10
01
11
01
10
10
11
00
10
10
10
00
01
11
01
00
01
01
10
00
00
11
10
00
00
10
01
10
00
11
10
11
01
00
10
11
00
00
00
10
00
00
00
11
01
00
10
11
10
01
00
11
00
01
00
10
00
00
10
10
10
00
00
10
10
10
10
10
01
01
01
10
00
11
10
11
01
00
11
10
00
01
01
10
01
11
10
00
00
01
10
10
10
01
10
10
01
00
00
10
00
00
00
10
11
11
00
10
00
11
10
10
10
00
00
11
10
01
00
00
00
01
10
00
11
11
11
00
10
10
00
10
10
10
00
01
11
11
01
11
11
00
00
00
10
10
01
11
11
10
10
00
00
11
10
00
01
00
11
01
00
01
11
10
11
10
00
01
01
10
10
10
11
10
11
11
00
10
11
11
00
00
10
00
11
00
00
10
10
00
00
00
10
10
00
10
00
00
00
10
00
00
00
01
00
11
11
10
10
00
10
01
10
10
00
10
10
00
00
11
11
00
00
11
10
00
10
00
01
00
01
11
10
01
00
10
10
11
00
00
11
00
00
10
11
10
00
10
10
00
01
01
00
00
10
00
11
00
11
10
01
11
11
00
11
00
11
00
01
11
11
00
00
10
01
10
10
01
00
00
11
10
01
00
00
01
11
11
11
10
00
11
00
00
10
10
01
01
01
00
11
10
11
10
00
11
10
00
01
00
10
10
10
01
01
11
00
00
10
10
11
01
11
10
00
00
11
10
01
10
00
00
10
11
01
00
00
00
01
00
00
01
10
11
10
10
00
10
10
11
10
00
00
10
10
00
10
00
11
00
00
00
00
00
00
11
00
11
10
10
10
00
11
10
01
00
10
10
00
10
01
00
11
10
00
10
10
00
00
00
10
10
00
01
10
01
01
10
11
10
11
01
11
10
11
10
01
01
01
10
00
01
00
11
10
10
11
11
00
00
01
10
11
10
01
00
00
10
10
10
11
00
00
00
00
11
00
10
00
11
11
10
10
01
00
11
01
01
10
10
00
00
01
00
10
10
10
01
01
01
10
10
00
00
00
01
10
10
10
00
01
11
10
10
10
00
00
00
10
11
00
00
01
00
00
11
10
00
10
01
00
11
11
11
10
00
00
11
00
00
11
00
10
00
00
10
11
10
00
11
10
00
00
11
10
11
10
11
10
00
10
00
10
00
11
10
01
01
00
10
11
10
11
00
10
00
10
11
00
10
10
00
01
11
00
00
00
10
10
11
10
01
10
01
11
00
00
10
00
00
10
11
11
11
00
11
10
00
11
10
00
00
00
10
10
11
00
11
00
10
00
00
00
10
00
00
00
10
01
00
01
01
00
11
10
00
01
10
10
10
01
11
01
11
10
10
10
11
00
01
00
00
10
10
00
10
10
10
01
11
10
11
10
11
11
00
01
11
11
10
11
10
00
10
11
00
01
00
10
11
10
11
11
11
01
01
11
10
10
00
00
10
10
10
00
10
00
11
00
10
11
10
01
01
10
00
01
10
00
00
11
11
10
00
00
01
00
11
10
00
00
10
10
10
00
11
01
10
00
00
01
10
00
00
10
00
01
10
11
00
11
11
10
11
10
01
00
11
01
01
10
01
00
10
00
00
00
01
00
11
00
10
10
10
10
00
00
11
00
01
10
11
11
00
01
10
10
01
01
10
10
10
00
00
10
00
01
10
10
01
10
01
00
00
10
00
11
00
00
11
00
10
01
11
00
01
11
10
11
00
00
10
11
00
01
00
11
00
01
10
10
11
01
10
10
11
00
01
11
00
01
00
10
01
00
11
00
10
10
00
10
10
10
01
00
00
01
00
11
11
00
11
11
10
00
00
11
00
10
00
00
00
10
10
00
00
11
00
10
00
01
10
10
00
00
10
10
01
00
00
11
10
11
10
10
00
00
11
10
00
01
01
01
01
00
11
11
10
01
01
10
01
00
00
10
11
00
10
11
01
10
11
01
00
01
10
10
10
00
00
11
00
00
10
10
00
00
00
10
10
00
01
10
01
01
10
11
10
00
00
10
00
10
10
00
10
00
10
00
00
01
00
00
00
10
11
01
10
01
11
10
01
10
10
01
01
10
01
01
10
11
00
00
10
10
00
11
11
11
01
00
00
10
10
00
10
10
01
10
11
00
11
10
10
00
11
10
01
01
11
00
11
00
10
00
00
10
00
00
00
00
00
00
11
10
11
00
10
00
00
01
00
10
10
01
00
00
00
10
10
00
10
10
00
00
01
10
00
00
10
00
10
01
00
10
00
00
11
00
00
10
11
11
11
01
10
00
10
11
00
01
11
11
10
11
10
00
00
11
11
01
00
10
00
00
00
00
11
10
11
10
11
01
00
00
10
00
01
01
11
10
00
10
10
10
10
01
00
10
10
10
10
00
10
11
00
00
11
10
00
01
00
10
11
00
00
00
11
10
00
00
10
10
00
10
00
00
11
10
01
10
10
10
00
01
10
01
00
10
10
10
00
01
00
10
11
00
11
00
01
00
01
10
10
00
01
10
10
11
10
11
10
11
10
01
00
00
11
10
11
00
00
10
00
00
10
00
10
10
00
01
10
00
11
00
00
00
00
10
00
10
11
00
11
10
11
10
10
01
00
10
10
00
01
11
10
11
00
10
11
01
00
10
01
00
00
01
10
10
00
00
10
11
00
00
11
01
10
11
00
10
10
01
11
01
10
10
01
01
00
11
10
00
00
10
01
10
11
00
01
10
10
01
00
11
00
00
10
00
00
11
10
00
00
10
11
10
11
10
11
00
00
10
00
01
10
10
00
10
01
10
00
00
01
00
00
11
11
10
10
00
10
10
01
10
00
00
10
10
00
00
00
00
00
10
01
00
01
10
10
01
01
00
11
10
10
11
00
01
11
10
00
10
10
10
01
01
11
10
00
01
01
10
10
10
00
01
11
10
10
00
00
10
00
11
00
00
10
01
00
00
10
00
10
10
00
00
10
11
11
10
11
00
10
10
00
10
10
10
00
11
11
10
01
10
11
00
10
10
01
11
11
11
00
00
10
11
00
10
10
00
11
00
00
11
00
11
01
10
10
00
11
10
10
10
10
10
10
00
11
00
00
01
01
10
00
10
11
10
01
00
01
00
00
00
11
01
01
10
10
00
00
00
10
10
00
00
10
00
01
01
01
10
00
10
10
11
01
10
11
00
01
10
10
01
00
00
00
00
11
10
00
00
01
11
00
11
10
10
00
10
01
01
00
11
00
10
10
10
10
10
00
01
10
00
00
00
00
00
10
10
00
01
00
01
00
11
10
11
10
00
00
10
00
00
01
10
10
01
10
01
11
10
01
01
00
10
10
00
11
10
01
00
10
10
10
10
10
00
00
10
00
10
01
10
10
00
10
00
11
01
00
10
10
00
11
10
00
00
00
01
00
10
10
00
00
10
00
00
00
01
10
00
10
10
11
10
01
10
01
00
00
01
01
00
11
10
00
00
01
10
00
01
11
10
10
00
00
10
10
00
10
00
00
10
10
10
10
01
10
10
10
00
10
00
01
00
11
11
10
00
00
10
10
11
00
10
10
10
10
11
01
01
10
11
10
01
00
10
10
00
00
10
00
10
11
01
10
10
01
00
10
10
00
10
01
10
10
00
01
10
11
11
11
01
00
00
00
00
01
10
10
00
10
01
11
00
00
00
01
10
10
00
10
00
00
10
10
10
00
10
01
10
10
10
01
11
01
11
00
10
00
10
10
00
10
11
10
10
00
10
00
11
10
10
01
00
10
10
00
01
10
10
00
11
01
00
00
00
10
00
00
11
00
00
01
01
10
00
00
10
01
00
10
00
11
01
10
11
10
10
00
01
01
00
00
10
01
11
00
00
00
10
10
10
11
10
11
10
01
10
10
01
00
01
11
10
10
11
11
00
11
10
01
11
10
01
00
00
00
01
11
10
10
00
10
10
10
10
10
01
11
10
10
10
01
01
11
00
00
00
00
01
01
10
11
00
11
11
10
11
00
00
10
01
01
10
11
00
10
10
01
10
00
01
10
11
10
00
11
00
00
11
00
01
10
11
10
10
00
00
00
01
00
10
10
00
10
11
00
00
10
10
00
00
00
10
01
10
00
10
10
10
10
10
10
11
10
00
01
01
00
11
10
00
01
10
00
00
00
10
00
00
10
10
00
10
01
00
00
11
00
10
10
11
01
00
10
00
00
01
10
10
10
00
00
10
00
10
11
01
11
11
10
01
00
01
10
10
00
10
01
11
01
00
00
10
00
11
10
00
01
00
10
10
01
10
01
00
10
00
11
00
01
01
00
11
10
10
00
11
11
01
10
10
10
01
00
01
10
10
10
01
01
10
10
00
10
10
01
01
11
00
10
01
00
10
10
11
01
11
11
00
00
11
10
00
00
10
10
00
11
00
00
11
00
10
01
10
01
01
10
10
01
10
10
00
01
10
01
01
11
10
01
10
10
10
00
01
10
00
10
00
00
01
10
10
10
10
10
00
00
01
10
10
01
11
11
10
11
00
10
10
00
01
10
11
01
01
11
00
00
10
10
00
01
10
11
11
10
10
01
00
01
11
11
01
10
10
00
00
00
10
11
00
01
10
10
10
11
00
10
01
01
11
00
01
01
11
10
11
10
00
01
10
10
10
00
00
00
00
11
10
01
01
11
11
00
10
00
10
11
00
11
11
10
01
00
10
10
11
01
10
00
00
01
11
10
10
11
11
00
10
00
00
00
00
11
00
00
10
00
01
00
11
11
10
10
10
10
00
10
11
10
11
00
10
01
10
10
00
00
10
11
10
01
00
11
00
01
11
11
00
00
10
00
10
10
10
01
10
01
00
10
10
10
10
01
00
11
00
00
10
00
11
10
00
01
10
00
00
00
11
11
10
00
00
00
10
11
00
10
00
01
10
10
01
00
10
10
10
01
00
00
10
10
10
01
10
10
10
00
11
00
10
10
10
00
10
11
00
00
00
10
01
11
11
01
00
10
01
11
00
00
10
10
00
11
11
10
01
00
10
00
00
11
00
10
10
10
00
11
10
11
11
11
00
10
00
01
10
11
01
00
11
10
00
00
01
11
10
01
01
11
11
11
01
10
10
00
10
00
11
00
10
10
01
10
00
10
00
00
10
01
00
11
00
11
10
00
01
01
11
10
10
10
10
00
11
00
00
11
00
01
00
11
10
11
10
00
00
10
01
10
10
00
00
00
10
10
10
10
11
00
10
00
00
00
01
01
11
00
11
10
01
00
00
11
01
10
10
11
01
00
01
10
10
00
00
00
10
10
01
00
01
10
00
00
10
10
00
01
11
10
00
00
00
00
00
10
10
00
10
11
01
01
00
00
10
10
00
01
10
10
01
00
10
11
11
10
10
00
01
10
00
00
01
10
11
10
00
10
11
10
00
10
10
00
01
00
00
11
10
01
10
00
10
10
10
01
10
11
01
01
10
11
10
11
10
00
10
10
00
00
10
10
01
11
00
10
10
10
10
10
00
11
10
00
10
00
10
00
01
00
01
01
01
10
10
00
11
11
00
11
10
00
00
10
10
00
10
00
10
00
10
01
00
11
00
11
10
00
10
10
10
00
00
11
10
10
10
11
10
10
10
00
11
01
00
11
00
10
00
00
01
10
01
01
10
01
10
00
10
00
00
00
11
10
00
10
11
10
11
10
01
00
11
00
01
01
01
00
10
00
01
01
11
00
00
11
01
11
00
01
11
01
10
01
01
11
00
00
10
10
01
01
10
10
00
00
10
01
01
10
10
00
00
00
11
11
11
00
00
11
10
00
00
10
11
11
10
00
00
10
01
11
01
00
10
10
10
01
11
11
01
00
00
01
10
01
10
00
10
10
10
11
00
10
00
10
10
00
10
00
11
10
10
01
00
10
00
00
00
00
10
11
10
11
11
00
11
00
00
10
00
00
00
10
10
01
00
00
00
11
00
10
10
01
10
00
10
11
11
00
11
00
01
10
10
01
01
11
10
01
01
00
11
00
11
00
10
10
10
11
10
00
00
00
10
10
00
01
00
00
11
10
00
11
10
01
11
01
00
11
00
11
00
01
10
10
01
00
10
10
00
01
10
10
00
10
10
01
00
00
11
10
01
00
00
10
00
00
11
10
01
10
10
10
00
00
10
11
00
00
10
11
00
00
11
00
00
01
00
10
10
10
00
11
11
11
01
11
00
11
01
00
10
00
10
11
11
00
10
11
00
00
00
10
10
10
00
00
10
11
10
11
11
11
10
00
10
00
00
10
01
11
10
00
11
10
01
10
00
00
10
10
11
10
01
10
10
10
01
01
00
00
10
10
10
10
00
00
00
00
11
01
11
10
01
00
10
11
00
11
10
10
10
01
10
00
11
01
00
00
10
10
10
10
00
00
11
10
11
00
00
11
00
01
00
00
10
01
00
10
10
00
10
01
11
01
10
00
00
10
01
00
10
10
00
00
11
00
00
10
11
00
00
10
00
10
00
00
11
01
11
00
11
01
00
10
10
00
00
11
10
00
11
01
00
10
11
00
01
00
10
10
00
00
00
01
10
10
01
01
10
00
10
11
11
00
00
10
01
11
00
11
00
11
00
11
10
01
01
10
10
00
10
10
01
11
00
01
10
01
01
10
11
00
00
11
01
00
01
10
00
11
11
11
10
10
00
11
00
00
00
11
00
10
01
11
10
01
01
01
10
11
01
00
10
10
10
01
00
10
00
10
00
00
00
10
10
01
10
01
00
00
10
10
01
01
10
11
10
10
10
00
00
00
00
10
00
00
00
01
10
01
01
01
10
11
11
10
01
00
00
10
00
00
00
00
10
10
10
10
10
01
10
10
10
10
00
01
11
10
11
10
00
11
10
10
00
10
11
00
01
10
10
00
00
11
10
10
00
00
11
11
00
00
10
01
00
01
11
00
01
10
01
11
11
10
10
10
00
01
11
10
00
11
10
01
00
00
00
01
10
10
10
00
00
10
00
01
11
10
10
10
10
10
10
00
00
10
10
00
10
11
10
11
01
00
10
00
00
11
10
10
00
00
11
00
00
01
00
11
00
00
10
10
01
00
00
10
00
00
00
11
11
00
01
00
01
00
01
10
10
10
00
10
10
10
11
10
10
10
11
10
00
00
01
10
11
00
00
10
10
11
10
00
01
01
11
10
01
00
11
01
00
11
11
00
01
00
10
10
00
01
10
00
01
11
11
01
10
10
00
00
11
10
00
01
10
10
11
00
10
11
10
10
00
00
11
00
00
00
00
00
00
00
11
10
01
10
10
10
00
11
00
11
10
11
00
11
00
10
00
00
10
11
00
00
00
00
11
10
00
11
10
00
11
00
00
00
10
10
10
10
00
00
00
10
10
11
01
10
10
11
00
11
01
00
00
00
00
00
10
10
01
10
00
11
10
01
10
10
11
10
01
11
01
00
11
10
00
01
10
10
00
10
10
01
01
00
11
10
00
11
10
10
00
10
10
00
10
10
11
11
00
00
00
00
10
00
10
10
10
00
00
01
01
01
11
10
10
01
10
00
00
10
10
10
10
10
10
00
00
00
10
01
00
01
10
10
00
00
01
10
00
01
00
10
01
10
11
00
01
00
01
00
11
01
01
10
01
01
11
01
01
00
10
11
00
11
11
00
00
01
11
00
01
11
10
00
00
10
11
10
01
00
00
01
10
11
10
10
00
00
10
00
01
10
00
00
10
10
00
00
10
10
00
11
10
01
00
11
00
00
10
10
00
00
10
11
10
00
00
11
00
10
10
00
10
10
11
00
11
10
11
10
01
00
00
10
11
10
00
01
10
10
10
10
10
10
00
00
10
10
00
00
11
11
10
00
01
00
10
00
01
10
00
10
00
11
10
01
00
10
10
11
10
11
11
10
10
10
10
11
11
00
01
00
10
10
10
00
00
00
00
01
10
10
01
11
00
11
11
10
10
00
00
10
11
00
10
11
00
11
00
11
11
10
10
10
01
01
10
11
01
00
01
01
01
11
10
10
10
10
00
00
01
00
10
10
11
10
10
00
10
00
00
01
10
01
10
10
11
00
10
10
00
01
10
10
11
01
10
11
01
10
11
01
01
00
10
11
10
01
00
11
00
11
11
00
01
11
11
00
00
11
01
01
10
00
01
00
10
11
00
11
00
01
10
00
00
00
00
00
01
11
10
01
10
01
10
10
01
11
00
01
01
11
00
00
10
10
01
00
10
10
00
11
10
11
00
10
10
00
00
10
00
01
11
10
10
10
10
10
10
10
01
10
10
01
10
11
10
11
00
01
10
10
10
01
10
11
10
00
01
00
00
10
00
00
00
10
10
00
00
00
00
11
10
10
00
11
00
10
10
01
10
00
01
10
01
10
01
01
01
00
10
01
00
11
10
11
00
10
10
00
00
00
11
10
10
10
10
00
01
00
11
00
11
10
00
00
01
10
10
00
00
11
10
00
10
10
00
11
10
10
10
11
10
00
11
01
11
10
00
01
00
01
00
11
10
10
01
00
00
10
10
00
00
11
10
00
00
01
10
11
00
00
00
00
00
00
10
00
01
10
00
11
10
00
10
11
01
01
10
00
00
10
00
00
10
11
00
11
10
00
00
00
10
10
00
00
01
11
10
10
11
10
11
00
11
10
01
00
10
10
00
10
00
00
10
00
10
00
01
00
10
10
00
00
10
00
11
01
00
11
11
10
01
01
10
11
10
10
00
10
00
01
01
10
10
00
10
11
00
00
10
11
10
10
00
00
11
01
00
10
01
10
11
00
10
00
00
00
00
10
00
00
10
11
00
11
00
00
10
01
00
11
01
00
10
11
00
10
10
01
01
00
11
10
00
00
11
00
11
10
00
01
11
00
10
01
10
11
00
10
10
01
10
11
00
00
00
10
10
01
00
11
11
00
00
00
00
10
11
00
00
10
11
00
01
10
10
10
00
10
00
10
10
00
10
01
10
10
10
01
00
00
10
11
00
00
01
00
01
10
10
11
10
00
10
01
00
10
10
11
10
00
00
00
00
00
00
01
10
00
10
10
00
10
10
00
10
00
10
01
11
10
10
00
00
10
00
11
10
11
00
01
11
10
10
10
00
01
00
10
10
00
10
11
00
01
10
10
00
01
00
10
10
01
10
11
01
00
00
00
00
10
00
00
10
00
10
11
11
10
00
01
00
00
10
01
00
00
10
00
11
00
11
10
00
01
01
10
10
10
00
01
10
00
00
01
10
00
11
00
11
11
11
11
00
11
10
00
10
10
01
01
01
11
00
00
11
10
01
00
10
11
01
11
01
00
10
00
00
10
01
10
10
10
10
01
10
00
11
00
00
10
01
01
01
00
11
10
00
00
10
11
00
00
10
01
00
10
10
00
11
10
01
10
11
10
00
01
00
11
10
10
01
11
11
11
00
00
11
10
00
00
11
10
10
10
00
11
00
00
11
10
00
00
11
10
10
00
10
10
11
00
10
00
00
01
00
00
00
00
10
11
11
10
10
00
00
00
01
01
00
10
11
10
01
00
11
10
00
10
00
01
10
10
00
01
11
00
11
00
01
10
10
00
01
10
10
10
00
10
01
00
10
00
11
00
00
00
10
11
10
00
10
10
10
01
11
10
11
10
00
10
00
01
10
10
00
00
00
10
10
00
00
10
10
00
00
11
10
01
11
00
00
10
00
10
00
11
11
01
00
10
00
00
00
10
10
11
10
11
00
00
00
10
10
01
00
10
10
00
10
11
11
00
10
10
10
10
11
11
01
11
00
10
10
10
11
11
01
10
10
00
10
10
00
01
10
10
00
00
00
11
00
01
10
10
01
01
01
10
00
00
01
10
00
00
10
10
10
01
10
01
00
10
01
10
10
00
11
10
10
01
11
10
11
10
00
00
11
11
10
10
00
10
10
01
10
00
10
00
10
10
11
10
00
11
00
01
00
10
10
01
10
10
01
01
11
00
01
10
00
00
10
10
00
01
11
11
11
01
10
00
00
11
10
01
01
00
01
00
00
01
11
10
11
00
00
10
11
01
10
01
00
00
11
10
11
01
11
11
00
01
11
11
01
00
00
10
11
01
00
11
11
11
10
10
10
00
10
11
10
10
00
00
11
10
00
01
00
00
11
10
00
01
01
10
10
10
00
10
10
01
00
00
11
00
11
10
00
10
10
10
00
00
11
01
10
00
00
11
10
00
00
10
10
10
01
01
00
00
10
10
00
01
10
10
00
01
10
10
00
10
10
00
01
01
01
00
01
11
10
00
11
10
00
10
00
00
10
10
11
00
10
01
00
00
10
10
00
01
00
11
10
00
00
10
10
01
00
11
10
10
00
01
11
10
00
01
00
01
11
10
10
10
00
00
00
01
00
11
10
10
00
00
00
10
00
01
01
01
10
00
10
01
00
11
10
00
11
00
10
10
10
00
01
10
01
00
11
11
01
00
10
00
11
00
11
10
01
00
00
10
11
10
00
00
10
10
00
00
00
00
00
01
00
01
10
01
10
00
00
10
10
10
00
00
00
00
10
00
10
10
00
01
01
10
11
10
01
00
00
11
01
10
00
00
01
10
10
01
11
00
10
00
01
00
11
10
10
10
01
10
01
11
00
00
10
10
00
01
11
10
00
10
00
10
11
01
00
10
11
01
11
00
11
11
10
00
01
11
01
00
11
10
00
10
10
01
00
10
11
10
01
00
10
10
10
10
00
00
11
01
01
00
00
01
11
00
00
00
10
11
00
11
01
10
10
00
01
10
11
00
10
10
00
00
00
10
10
10
00
10
00
00
01
10
00
00
10
10
11
11
10
10
01
11
00
00
10
00
11
11
01
00
01
11
00
01
10
00
00
10
10
00
10
10
00
00
11
10
10
00
00
11
00
01
10
10
10
01
10
00
01
10
00
10
01
00
00
10
10
11
11
00
00
00
00
10
11
00
11
11
01
11
00
10
10
10
11
00
01
00
01
10
00
11
10
10
10
00
01
10
10
10
01
10
10
10
01
01
10
00
00
00
01
10
11
00
10
10
11
11
10
10
00
01
00
00
11
01
00
00
00
01
10
01
00
11
10
00
10
10
10
00
10
10
10
00
01
00
00
00
00
10
00
10
00
00
01
11
00
01
10
10
11
00
10
10
00
00
10
00
10
10
00
10
10
11
00
00
10
11
00
10
01
11
00
10
01
00
11
00
11
10
00
01
10
01
01
00
01
11
10
10
10
00
10
10
00
10
01
00
01
10
10
01
11
01
11
10
00
10
01
11
10
01
11
10
01
10
01
10
01
01
01
10
11
11
00
11
10
00
11
11
00
01
00
11
11
10
11
01
01
10
10
00
10
10
00
00
10
00
00
10
11
00
10
00
00
01
00
01
10
11
10
00
11
10
00
01
00
10
00
11
00
10
10
11
00
01
11
00
10
11
11
00
10
00
01
11
10
11
00
01
00
01
10
11
01
10
10
00
00
11
00
00
00
11
00
11
01
11
10
10
00
11
11
10
01
00
00
00
00
00
01
01
10
10
00
10
00
00
10
10
00
00
10
11
01
10
10
01
11
10
11
00
10
10
11
01
00
10
11
10
11
01
10
00
00
00
10
01
11
10
11
00
10
11
11
10
11
00
01
10
01
00
11
00
01
00
10
01
01
10
11
10
00
00
00
11
10
01
00
10
01
00
11
10
11
01
10
11
00
00
11
10
01
10
11
00
00
10
10
00
01
01
00
00
11
00
00
00
10
10
00
00
11
10
10
00
00
11
10
01
00
10
01
10
10
11
11
00
11
10
10
00
11
01
00
00
10
00
00
00
00
11
10
10
00
10
10
00
01
01
10
10
10
00
10
01
10
11
01
10
00
00
00
00
10
10
00
00
00
00
11
11
00
10
11
00
00
01
10
11
00
10
10
01
11
10
10
01
01
10
00
10
10
00
01
01
10
10
10
11
10
00
00
00
00
00
00
11
10
11
00
01
11
01
00
00
10
10
10
01
00
10
11
10
01
10
11
10
01
00
00
00
01
11
11
00
10
01
10
00
00
10
10
00
11
11
01
00
00
10
10
00
10
10
00
11
00
00
01
10
00
00
10
11
00
10
00
00
00
01
10
10
00
00
01
00
01
10
01
10
00
00
10
01
01
00
10
01
10
10
10
01
11
00
00
01
01
10
10
00
00
10
10
10
01
11
10
11
01
00
11
00
01
01
10
10
11
00
01
10
10
00
11
10
11
10
01
10
00
11
00
01
10
01
00
10
10
00
01
11
11
00
01
00
11
10
00
00
10
11
00
00
10
01
01
10
00
10
00
01
00
00
10
10
01
11
10
01
00
11
10
00
10
10
00
00
11
10
11
10
00
10
00
11
00
10
10
10
11
00
01
10
10
00
01
01
11
10
01
10
00
00
10
00
01
11
10
10
00
10
11
00
00
00
10
00
10
01
10
10
00
10
00
11
10
01
10
10
00
11
10
10
00
10
10
10
00
00
10
00
10
10
10
01
01
10
00
10
10
10
00
11
00
00
10
10
00
00
10
00
01
00
00
10
11
00
01
11
10
01
11
11
01
00
11
10
01
00
11
10
00
10
00
00
00
10
10
11
01
01
11
00
01
10
10
00
00
10
10
00
00
11
10
10
00
10
01
00
00
01
11
01
10
10
11
00
00
00
11
10
01
11
01
00
00
10
00
01
10
00
10
00
00
10
11
00
00
10
10
00
10
11
01
00
00
11
01
00
11
00
00
11
10
10
00
00
00
10
10
00
01
00
11
10
10
11
00
00
01
00
01
11
00
10
10
00
11
11
01
10
10
11
00
00
10
11
00
01
10
11
10
00
11
00
01
11
00
00
00
10
11
11
01
00
10
11
11
00
10
11
10
00
01
11
00
11
10
00
10
00
10
10
00
10
11
10
01
11
00
11
01
00
10
00
10
10
00
01
00
10
00
01
10
10
00
11
11
11
01
10
00
10
10
10
11
01
01
00
01
10
10
10
01
10
11
00
01
00
10
10
11
00
01
00
00
11
10
00
01
01
11
00
00
10
10
00
10
11
00
10
10
00
01
10
11
10
10
10
11
11
10
00
01
01
10
10
00
01
01
00
10
10
11
01
01
11
01
10
00
01
10
11
10
00
00
11
00
10
00
00
00
00
11
10
11
11
00
01
00
11
10
11
00
10
00
00
10
00
00
11
00
01
01
10
10
01
11
00
10
10
00
10
10
01
11
10
11
10
10
10
11
01
00
11
11
10
00
11
00
00
00
01
11
00
10
00
01
01
01
11
01
00
11
00
01
10
10
11
00
10
11
00
01
11
00
10
10
10
01
00
10
10
00
00
10
10
10
00
10
00
01
10
11
10
10
11
01
00
10
10
00
01
00
00
10
00
00
11
10
00
11
11
00
01
00
11
10
10
00
00
10
10
10
01
00
10
11
10
00
00
10
00
00
00
01
10
00
11
11
00
00
10
00
00
00
00
10
01
10
10
11
00
11
10
10
00
11
01
00
11
10
00
01
01
00
00
00
10
00
01
11
10
00
10
10
10
10
00
10
11
00
10
10
00
10
11
01
10
00
10
00
00
01
00
10
10
11
01
10
00
10
11
00
10
00
00
01
11
11
01
00
10
11
01
00
00
10
11
10
10
11
10
10
01
10
11
00
00
10
00
10
00
10
10
00
00
00
10
01
01
10
00
00
11
00
10
01
00
10
00
11
01
10
00
11
10
10
11
00
11
10
10
10
10
01
10
11
00
01
10
01
01
11
10
11
10
01
11
10
00
00
00
00
01
10
10
00
00
00
00
11
10
10
00
10
10
00
00
00
00
10
01
10
00
00
11
10
10
00
10
11
01
10
00
00
10
10
01
00
00
11
11
10
10
00
00
00
11
10
01
01
10
01
00
11
10
10
01
00
00
00
10
11
01
01
10
10
01
00
00
00
00
11
11
10
11
00
01
10
10
00
11
00
00
10
00
01
11
10
00
01
00
00
01
01
10
11
10
01
11
10
00
00
10
10
00
00
10
10
00
01
11
11
11
11
11
10
10
10
10
00
00
00
11
10
00
11
10
10
10
00
10
00
01
10
00
10
10
00
00
00
10
00
00
01
11
10
11
00
00
10
00
10
10
10
00
01
00
01
10
10
00
10
01
01
00
11
00
00
01
00
10
10
00
10
01
00
11
11
00
10
10
10
10
10
01
01
01
01
11
01
11
00
11
01
10
11
00
00
10
01
01
11
10
00
00
00
01
00
10
10
11
01
10
00
01
01
01
11
10
11
00
10
10
00
00
11
10
00
00
10
10
10
10
01
01
00
11
11
10
10
11
10
10
00
00
11
01
00
00
10
10
00
00
10
11
01
00
10
11
10
00
11
10
00
00
10
10
10
10
00
00
00
11
00
00
11
10
01
00
00
11
10
01
10
10
10
01
10
00
00
11
01
11
01
01
11
11
11
10
10
11
00
01
01
10
11
10
00
00
01
01
10
10
00
11
00
10
10
00
10
11
10
11
11
11
10
01
10
00
00
10
00
10
10
00
00
11
00
11
11
10
01
01
01
10
10
00
11
10
00
00
10
10
00
00
11
11
00
00
10
00
10
00
10
00
00
01
10
01
00
00
00
01
10
11
01
01
10
00
01
11
10
01
00
11
00
01
10
10
10
00
00
10
00
00
00
01
11
00
10
00
11
00
11
10
10
10
01
00
11
10
01
10
00
00
00
00
10
00
10
01
00
00
11
01
00
10
01
10
10
11
01
01
10
10
10
11
01
01
00
11
10
11
10
00
00
10
01
10
10
00
00
10
10
10
10
00
10
00
00
11
10
01
00
00
10
01
00
00
00
10
11
11
11
00
00
11
10
10
11
00
10
01
00
11
11
00
11
11
11
01
00
10
00
01
00
10
10
00
01
10
01
10
01
00
10
00
11
10
00
01
01
01
00
10
01
01
00
10
10
10
01
00
00
00
10
01
10
00
11
00
00
11
00
00
10
11
00
10
11
10
11
00
10
01
00
10
11
00
01
10
00
00
10
00
00
10
10
10
00
10
11
01
10
11
00
00
00
11
00
01
11
11
10
11
10
00
01
00
10
11
01
01
00
01
00
01
10
10
00
11
10
01
10
10
10
00
10
01
00
11
11
01
11
10
10
11
00
10
10
00
00
10
00
01
11
11
00
11
00
00
00
00
11
10
01
00
01
00
01
10
00
00
10
10
00
01
10
01
10
10
11
11
10
01
00
00
00
10
10
11
01
00
11
01
00
00
00
11
00
00
10
10
00
10
11
01
00
11
01
00
00
00
10
10
01
00
00
01
11
10
01
10
10
10
00
10
10
00
11
01
01
11
10
10
00
00
11
00
01
10
10
00
10
11
00
00
11
00
01
00
01
00
10
11
11
10
01
01
00
01
00
01
10
01
11
10
00
00
01
10
10
10
01
00
00
01
00
10
11
01
10
11
00
10
00
00
00
10
10
00
10
10
00
00
10
10
11
00
00
01
11
10
01
00
00
11
11
00
10
10
00
11
10
00
10
00
10
01
01
11
00
10
11
00
11
00
00
11
10
11
00
00
10
10
10
11
10
00
10
10
10
00
00
10
01
01
00
00
10
10
00
00
11
11
10
11
01
10
11
00
10
10
10
01
10
10
00
00
00
10
00
00
01
11
01
00
00
00
00
00
10
10
10
00
00
01
00
10
11
00
11
10
10
01
00
01
10
01
00
11
11
00
00
11
01
01
00
10
01
11
00
10
10
00
10
00
00
01
10
10
10
01
01
10
11
00
00
11
11
01
00
11
10
10
00
00
10
10
01
01
10
01
11
11
01
10
10
11
10
00
00
11
11
10
00
10
01
10
10
00
11
01
00
00
11
00
11
00
00
10
01
00
01
00
10
10
00
00
10
00
01
11
01
00
10
10
00
00
01
10
10
00
10
10
01
00
10
01
00
10
10
00
00
00
11
10
10
01
10
11
10
11
00
10
01
10
00
01
01
10
11
10
00
01
10
11
00
00
10
11
10
11
10
01
00
00
10
00
10
00
10
11
10
11
00
11
00
00
11
00
11
10
00
00
11
10
00
11
10
11
10
10
01
11
11
00
01
01
10
00
10
11
11
00
00
10
11
00
00
00
10
10
00
11
00
00
10
01
10
00
00
11
00
10
10
10
01
11
00
01
00
01
11
00
10
00
10
11
00
00
10
10
01
10
00
00
10
10
10
10
11
00
10
11
00
00
01
01
10
10
11
10
00
11
11
11
00
10
10
00
10
10
01
00
10
00
00
01
10
10
01
00
10
00
01
00
00
11
10
00
11
00
00
10
11
11
10
10
10
11
01
10
00
11
11
00
11
00
00
10
10
10
00
10
11
01
00
00
10
00
10
10
00
10
01
10
00
00
10
10
01
00
10
00
01
11
01
11
11
11
11
01
10
00
00
10
00
11
10
10
01
11
01
11
10
00
00
00
10
00
00
10
10
11
01
00
01
00
11
10
01
00
10
10
01
00
10
01
00
10
00
11
10
11
01
00
00
10
00
01
10
10
11
10
10
00
10
01
10
00
10
00
11
10
00
00
01
00
10
01
00
10
00
00
11
10
10
01
00
00
10
11
11
10
01
10
10
01
10
11
10
01
01
01
11
00
01
11
01
01
10
10
00
00
10
10
00
00
01
10
10
00
01
11
11
01
10
10
11
11
00
00
10
11
00
10
10
01
10
01
01
00
00
00
01
01
11
11
10
01
01
10
01
00
10
10
00
01
11
11
01
10
11
10
10
10
11
00
11
00
00
10
01
01
00
00
11
10
01
10
10
00
00
10
10
00
00
10
10
11
10
11
11
10
00
10
10
00
01
10
00
11
10
10
10
10
00
10
10
10
10
00
00
10
00
10
01
00
00
10
10
11
00
00
01
00
10
01
10
10
00
01
01
10
01
10
10
00
11
11
10
11
00
01
10
00
00
00
10
00
01
11
00
10
10
00
00
10
10
00
10
10
00
00
10
10
01
00
10
10
11
10
00
10
01
10
00
00
10
01
10
00
10
10
11
00
11
00
01
11
00
10
10
00
00
00
11
11
01
11
00
10
11
00
10
00
10
11
00
10
10
00
10
00
00
10
00
10
00
10
00
01
11
10
00
10
00
01
11
00
00
01
00
10
00
00
11
00
11
11
10
10
00
00
00
01
01
00
10
00
00
11
01
01
10
11
11
00
00
11
00
00
10
10
10
00
11
10
01
10
00
10
10
11
10
11
00
11
10
10
10
00
10
11
10
00
00
01
00
00
00
11
01
01
01
10
11
11
01
00
10
10
01
01
10
10
00
11
10
10
10
10
11
01
01
00
01
11
00
00
11
10
01
11
10
00
00
00
10
10
00
00
01
01
11
00
00
11
11
11
00
10
10
01
00
01
10
00
01
10
00
10
00
01
00
00
01
10
00
01
11
01
10
01
11
11
00
01
11
11
10
11
00
00
00
10
10
00
00
10
01
10
00
00
10
11
10
00
01
00
10
11
11
01
11
00
11
00
00
00
11
10
00
11
10
10
00
11
00
10
00
00
10
10
10
11
00
00
11
01
10
11
00
10
10
11
10
00
01
11
11
11
11
01
10
00
11
00
11
10
01
10
01
00
00
10
11
00
00
11
10
10
00
11
10
01
00
10
00
10
10
01
10
10
01
00
10
00
00
00
11
10
00
01
00
00
11
10
00
10
10
11
10
10
01
00
11
10
10
01
00
11
11
10
10
01
00
00
00
00
10
01
01
00
10
01
10
10
00
00
10
10
10
01
00
11
11
01
01
10
11
00
10
00
10
10
01
01
11
00
00
00
10
11
11
01
00
01
01
10
10
00
11
10
01
00
01
00
10
01
10
10
01
01
01
00
10
10
00
01
11
00
00
01
00
01
10
10
10
00
01
11
00
00
11
10
00
00
11
10
01
00
10
01
10
11
10
11
01
00
10
01
10
11
10
01
00
11
10
00
10
11
00
00
10
10
10
10
10
10
00
00
00
00
11
01
11
01
10
10
00
10
10
01
11
10
01
00
00
10
00
10
11
01
00
01
10
10
10
00
00
10
00
00
11
11
11
00
01
10
01
00
01
00
10
00
10
00
00
10
00
10
10
10
11
00
10
00
10
10
01
10
11
01
01
10
00
01
10
00
00
11
11
01
01
01
10
00
11
10
01
01
10
10
00
10
10
10
00
10
01
01
00
11
10
01
00
01
10
00
10
01
10
01
10
11
10
01
10
10
10
10
10
01
00
10
01
00
00
01
10
10
00
11
00
10
10
00
10
11
00
01
00
10
10
10
00
10
01
00
10
10
01
00
10
10
10
10
00
00
10
00
00
11
01
10
00
10
11
11
10
10
10
00
01
10
00
00
00
00
00
01
00
11
10
11
00
01
00
11
11
11
10
01
00
10
01
01
11
11
00
00
10
11
10
00
00
00
10
10
10
00
01
10
11
00
01
00
10
10
11
00
10
10
00
00
00
01
10
00
10
00
00
01
01
10
11
00
10
00
00
11
11
01
00
01
10
10
00
10
01
00
00
10
10
10
00
00
10
11
00
01
10
01
01
11
10
00
00
10
01
00
11
11
10
10
10
11
00
01
00
00
11
11
10
00
00
10
00
00
10
00
10
11
00
00
10
10
10
10
10
10
10
10
10
00
10
10
00
00
10
01
01
10
01
10
00
00
00
10
10
00
00
01
10
00
10
01
00
00
01
11
10
11
10
11
00
11
00
00
10
10
10
00
00
11
01
11
11
10
01
01
10
10
10
00
00
10
00
00
00
10
01
01
10
11
10
00
11
10
11
10
11
00
00
01
11
11
01
01
01
00
11
10
01
00
10
10
00
01
11
10
00
00
00
11
11
00
01
01
11
10
00
10
00
10
10
00
11
00
01
11
10
11
00
01
10
00
00
11
11
00
10
00
00
10
01
00
00
00
00
01
00
10
00
11
00
01
10
00
01
10
00
11
00
00
00
11
11
01
01
10
00
11
00
01
10
00
00
10
00
01
11
00
00
11
10
01
00
10
10
00
01
11
11
00
01
10
11
00
10
00
00
11
10
10
01
00
00
10
11
01
10
11
00
10
11
10
00
10
01
00
10
00
01
10
11
00
10
00
11
11
10
01
00
10
10
01
00
10
00
00
00
01
00
10
11
10
10
01
00
00
11
10
10
00
01
10
01
00
10
10
00
11
11
10
00
10
10
00
00
00
10
00
01
11
00
00
10
11
10
11
10
10
10
01
10
10
00
11
01
00
10
10
10
10
10
00
00
00
11
00
11
00
00
10
00
11
00
11
10
00
10
10
10
00
00
10
10
00
00
10
01
01
00
10
11
11
01
01
10
10
01
11
00
01
00
10
00
01
10
10
00
00
00
10
00
01
10
11
00
11
01
10
10
01
10
10
01
00
10
11
11
10
00
10
10
00
11
00
00
11
10
00
10
00
11
10
01
10
00
00
00
00
11
10
01
10
01
00
00
10
11
00
00
11
00
10
10
00
10
10
01
00
00
10
00
00
00
10
00
11
10
10
00
00
10
00
00
01
10
11
00
10
00
10
00
11
10
01
00
11
00
01
10
10
11
00
11
10
01
00
10
00
10
11
01
01
11
00
10
11
10
10
00
00
10
00
10
00
00
11
01
11
00
11
00
10
10
01
10
01
11
00
11
10
00
01
10
11
01
00
10
10
00
11
11
01
10
10
10
00
01
00
01
10
10
11
00
10
11
10
01
10
10
00
10
10
01
00
10
10
10
01
11
11
10
11
00
00
00
10
10
01
10
11
00
10
00
01
01
00
10
10
01
00
11
10
01
01
10
10
11
00
01
10
11
10
01
10
10
00
01
01
10
11
01
10
10
01
00
10
10
00
10
10
01
01
00
00
00
10
00
00
11
10
00
11
10
01
11
01
00
00
10
10
00
10
11
10
00
01
01
00
00
00
00
00
01
10
00
10
10
11
10
10
10
10
00
01
01
10
01
00
11
11
00
10
11
00
00
00
10
10
00
01
11
10
00
00
01
10
11
01
10
11
10
10
00
00
11
00
10
00
10
10
10
10
00
10
10
01
11
01
10
00
11
10
00
00
00
11
10
00
00
10
00
10
11
00
00
10
11
00
01
11
11
11
00
10
10
11
00
00
11
10
00
00
10
00
11
10
00
00
10
11
10
10
00
00
01
01
01
11
00
11
00
00
00
10
10
00
11
10
10
00
10
00
10
10
10
00
01
11
10
10
00
10
00
11
01
01
11
10
10
10
10
01
10
11
00
01
01
00
10
01
10
11
01
01
01
00
00
10
10
00
00
11
00
01
10
01
10
10
01
01
10
10
00
10
10
01
00
11
10
01
10
11
00
00
00
10
00
01
10
10
10
00
00
00
10
00
00
00
10
00
11
01
11
00
01
10
10
00
00
11
10
00
00
10
10
10
10
00
10
00
10
00
11
01
01
00
11
10
11
11
00
10
10
00
01
00
11
10
11
00
11
00
10
00
01
10
11
10
00
10
01
00
10
11
00
00
00
10
10
00
01
11
00
00
00
00
01
01
10
00
00
11
00
10
10
10
10
10
01
00
11
11
00
00
00
10
11
00
00
11
00
01
11
10
10
00
01
00
00
11
10
10
10
10
10
00
01
00
01
10
00
00
10
00
10
11
01
00
01
00
01
10
11
10
11
00
10
10
00
00
10
00
00
01
01
00
10
01
00
11
10
01
10
10
01
10
00
00
11
10
00
10
10
01
10
00
01
00
11
10
10
10
10
00
11
11
00
00
10
00
00
01
00
11
11
00
10
00
10
10
00
00
10
01
00
00
11
00
01
11
01
10
10
00
10
10
00
01
10
01
01
10
10
01
01
10
00
10
00
00
11
10
01
00
01
00
11
10
10
10
00
00
10
00
01
10
11
00
11
11
00
00
00
00
10
01
00
00
10
11
00
10
11
10
10
10
01
00
00
10
10
00
00
10
10
10
01
00
10
01
00
11
10
00
00
00
10
10
11
00
10
10
01
01
10
10
11
01
01
10
00
00
10
10
11
01
00
11
00
01
10
00
00
10
01
10
01
00
00
11
00
11
01
01
10
10
00
01
10
10
11
01
10
10
00
00
10
01
00
11
00
11
10
11
00
00
10
10
00
00
00
10
10
00
00
10
10
00
10
01
01
11
10
10
10
11
10
10
01
00
10
00
10
00
00
00
10
00
10
10
00
10
00
00
11
01
10
10
00
10
10
01
10
11
01
00
01
10
11
10
11
00
00
10
10
10
00
00
10
10
01
10
00
00
00
10
10
00
10
10
11
01
00
00
01
11
10
10
01
01
10
01
10
10
10
00
00
00
00
01
11
10
01
00
00
11
10
10
10
10
10
11
11
00
01
10
10
10
10
10
01
11
00
00
10
00
10
00
11
10
10
01
00
00
00
10
10
00
01
01
11
01
10
10
10
01
00
10
11
01
10
11
00
00
00
00
00
10
00
00
00
11
11
01
00
00
00
10
11
00
11
10
11
11
11
10
01
10
10
10
01
01
11
10
10
01
00
01
10
10
00
00
11
10
00
01
00
10
00
11
00
10
00
01
00
10
01
00
00
01
00
11
10
01
00
10
01
10
00
11
10
11
00
00
10
10
00
01
10
01
00
10
10
00
00
10
10
01
01
11
00
00
00
10
00
01
01
10
00
01
01
10
00
00
11
10
01
01
01
11
00
01
11
11
01
11
10
00
00
01
00
10
11
00
01
00
10
10
01
01
11
10
01
11
00
00
10
10
00
01
11
00
01
00
10
10
11
00
01
10
11
11
10
11
10
10
00
01
11
11
00
00
01
01
00
00
00
11
11
11
01
11
10
00
00
01
10
10
01
00
10
10
10
10
01
10
00
00
10
11
10
01
00
10
11
01
01
11
10
00
00
10
11
00
00
10
00
01
10
00
10
10
00
11
00
00
00
10
10
00
10
00
00
01
00
11
10
00
00
10
01
10
00
01
10
10
10
00
00
00
11
10
00
10
10
11
10
10
10
01
00
01
10
00
00
11
11
10
10
00
10
10
00
10
10
01
10
10
00
10
00
00
01
00
00
10
00
10
10
00
00
10
00
10
00
00
00
00
11
11
10
00
00
11
00
10
01
00
11
01
01
10
00
00
00
00
10
00
01
10
10
00
11
00
10
10
00
00
10
11
00
00
00
10
01
10
01
01
10
11
10
11
00
00
10
10
01
01
01
00
10
00
00
10
10
11
10
00
00
10
11
00
11
00
11
10
10
10
00
11
10
11
01
01
10
10
00
10
10
11
10
01
10
01
11
01
10
00
00
10
10
01
00
11
01
10
11
01
10
11
00
10
01
00
00
00
10
00
00
01
10
10
00
00
00
00
11
11
11
10
10
01
00
00
11
00
00
00
10
00
10
10
01
10
00
00
10
11
11
11
01
10
00
10
11
01
00
00
11
10
10
00
00
10
01
10
01
00
10
00
01
00
11
10
10
00
01
10
00
01
10
11
00
00
10
10
01
01
11
11
10
10
10
10
01
00
11
10
00
00
01
00
01
00
11
11
00
01
01
11
00
11
10
00
00
10
00
00
00
10
01
10
00
01
01
11
11
10
11
00
01
11
10
01
00
11
10
01
00
00
10
10
01
00
00
10
00
00
11
11
10
01
10
10
01
11
10
10
10
01
00
00
10
00
10
00
10
10
10
00
10
10
10
00
00
00
10
01
10
01
01
00
10
10
11
00
01
11
10
10
00
10
11
10
01
00
10
11
10
00
01
10
01
00
11
11
00
00
10
01
10
00
00
10
00
11
11
00
10
00
10
10
10
01
01
11
10
00
10
01
11
10
01
01
10
10
00
00
10
10
00
10
01
10
10
10
00
01
10
00
01
11
00
11
01
10
00
01
00
10
01
00
11
10
01
10
10
01
00
10
11
11
01
00
00
10
00
00
01
10
10
10
00
11
11
00
00
01
10
01
00
00
00
10
11
10
11
01
00
11
11
00
00
00
10
10
10
00
11
00
00
10
11
10
00
00
00
01
01
00
11
10
01
00
01
11
11
10
01
00
00
10
11
00
11
10
00
00
11
10
00
00
01
01
01
10
10
01
00
00
01
00
00
11
10
11
01
10
10
11
11
10
10
01
01
11
10
00
10
10
10
11
01
00
10
10
00
00
10
00
11
00
00
10
00
11
10
10
01
10
00
00
00
11
11
01
10
01
01
10
10
11
10
01
00
00
10
10
00
10
00
00
10
10
10
01
10
00
01
11
10
01
00
10
11
10
10
00
00
11
00
00
01
00
11
00
00
10
01
00
00
10
10
10
00
10
10
00
10
10
00
00
00
00
00
10
10
00
10
01
00
10
00
11
00
00
00
00
10
10
10
11
11
00
00
10
00
00
00
01
10
10
01
00
11
01
11
01
00
11
10
11
10
00
00
10
10
00
00
10
00
00
11
10
10
11
01
11
01
10
01
00
00
11
11
00
00
10
10
01
11
10
00
00
01
10
10
00
10
10
00
11
01
10
11
01
10
11
00
01
10
01
10
10
11
01
00
11
01
01
11
11
00
01
01
00
00
11
11
01
00
10
00
01
00
10
10
00
10
00
00
00
11
00
00
11
01
00
00
01
11
00
10
10
00
00
10
10
00
11
10
00
10
01
01
00
01
10
10
00
00
00
10
10
10
00
00
11
11
00
01
00
10
11
10
01
00
00
01
11
00
11
00
01
01
11
10
00
00
11
11
00
01
10
00
11
10
11
00
11
11
00
10
01
00
10
10
00
00
01
10
10
10
10
11
00
10
01
10
00
00
10
00
00
10
10
10
10
01
10
11
10
00
10
10
10
00
01
11
10
00
11
10
10
01
00
10
00
00
10
11
00
01
10
00
11
00
11
01
10
10
00
01
00
01
10
10
01
11
11
00
00
10
00
00
10
00
00
00
00
00
01
10
01
00
10
11
00
00
00
00
10
11
00
00
01
11
10
11
10
00
10
10
00
01
01
10
00
10
00
00
00
10
10
10
11
00
01
00
10
11
00
10
11
01
11
00
11
00
11
11
00
10
10
00
00
01
10
01
11
00
01
10
10
00
00
00
10
00
01
01
01
01
01
00
00
10
10
00
00
11
10
10
11
00
00
10
10
00
00
10
10
00
11
10
01
11
00
00
00
11
00
10
11
10
00
00
10
11
00
00
10
11
00
00
00
00
10
10
01
01
11
00
11
11
00
10
00
10
10
00
11
11
11
00
10
00
00
11
11
10
00
10
10
10
11
01
11
10
10
00
00
10
11
01
00
01
01
11
01
11
01
01
01
11
10
00
10
00
10
10
00
00
10
11
01
10
01
11
00
00
00
00
00
01
10
10
10
10
10
10
00
01
10
11
00
01
10
11
00
01
11
00
00
10
00
00
10
10
10
00
00
10
10
00
01
01
01
00
11
01
11
10
10
10
00
01
10
11
00
00
01
00
00
11
00
01
00
00
11
11
01
10
10
00
00
00
00
10
10
10
10
10
11
10
00
00
11
00
00
10
10
01
11
11
00
00
00
10
00
11
11
00
00
11
10
01
10
00
11
11
00
11
00
01
10
00
01
10
10
00
00
10
11
00
00
01
00
10
01
00
11
10
00
10
10
00
00
10
10
10
10
11
01
11
10
00
00
01
10
00
01
10
10
01
10
10
10
00
10
00
10
11
11
11
00
01
01
00
10
00
10
11
00
01
10
01
00
11
10
10
10
10
01
00
10
10
01
00
00
11
00
00
11
00
01
01
10
00
00
10
11
00
00
10
10
00
00
00
11
01
00
01
10
10
10
01
10
00
00
10
10
10
10
00
01
10
00
00
00
10
11
10
10
00
00
10
00
01
10
10
00
10
10
10
11
00
10
00
00
11
10
10
00
10
00
01
10
01
00
10
00
11
10
00
00
11
01
10
00
00
10
00
10
10
01
10
01
00
10
01
00
01
10
10
01
10
10
10
01
00
00
01
10
10
11
01
00
11
00
10
01
00
10
00
10
10
01
00
00
10
00
10
10
10
00
00
01
11
10
00
01
00
10
00
10
10
00
00
00
10
10
10
00
11
01
00
10
00
00
10
01
00
10
01
01
11
10
10
10
10
01
10
01
10
10
01
10
01
00
10
10
00
10
00
10
11
00
10
00
10
00
10
10
00
00
00
10
10
11
00
11
00
10
10
11
00
01
10
10
00
00
01
10
00
01
00
10
10
01
00
10
11
00
00
00
10
10
11
00
01
01
11
00
01
10
10
10
00
00
00
00
10
11
00
01
01
01
00
10
11
10
11
00
10
10
00
10
11
10
00
10
10
01
10
00
11
10
11
00
00
01
11
11
11
01
01
11
00
11
00
01
10
11
01
00
11
10
00
00
10
10
11
00
11
10
00
00
00
10
10
11
01
00
01
10
11
10
00
00
00
11
10
10
01
00
00
11
10
10
00
01
01
10
10
00
01
10
00
01
11
11
11
10
01
10
10
00
11
00
01
10
00
00
00
01
10
10
10
00
00
00
01
10
00
00
11
10
01
10
10
10
10
10
01
00
11
01
00
00
10
01
00
10
10
11
10
11
00
10
11
01
01
00
00
10
10
01
00
10
10
00
10
10
10
00
11
11
00
11
00
01
10
10
01
00
00
00
10
11
01
10
10
01
01
00
00
00
00
10
01
00
10
01
00
11
11
10
11
11
01
10
00
00
10
10
00
01
00
00
10
01
11
00
00
10
10
11
01
10
11
01
00
11
10
01
01
10
10
00
00
10
00
00
10
01
10
11
10
01
10
00
00
10
00
00
10
11
10
00
10
11
00
11
11
11
10
00
10
10
00
00
01
11
00
10
11
10
11
00
11
10
11
00
01
10
00
00
10
00
10
10
00
10
00
10
00
01
10
00
00
01
11
10
00
10
10
00
11
01
10
00
00
00
01
00
10
10
01
00
10
00
10
01
00
10
01
01
00
10
11
01
00
10
10
10
10
10
00
10
10
10
10
00
00
11
00
00
01
10
00
01
10
10
00
00
10
00
00
00
01
00
00
10
00
00
11
00
01
10
11
01
00
00
10
11
00
01
01
00
01
01
10
00
10
11
00
00
10
00
00
00
10
11
01
01
10
10
11
01
00
00
10
00
01
00
00
11
10
11
11
10
11
00
00
00
10
11
10
00
01
00
10
01
00
10
00
11
00
10
10
00
00
10
00
00
10
00
00
11
10
00
10
10
10
10
10
00
01
10
11
01
01
11
10
00
10
00
00
11
11
00
01
00
10
00
00
10
00
01
10
10
10
11
10
10
01
10
10
10
01
00
10
10
00
10
10
01
10
01
00
10
00
01
01
01
00
10
00
01
11
11
11
01
00
01
10
01
11
10
00
00
11
01
00
11
01
10
10
10
00
11
01
00
11
11
11
00
10
00
00
00
11
10
10
10
00
00
10
00
00
11
00
10
10
00
10
01
11
10
10
01
10
11
00
01
10
10
10
01
00
11
00
00
00
10
00
00
00
10
01
10
00
10
10
00
00
10
00
11
00
00
10
00
00
00
00
10
10
00
01
00
00
10
10
01
00
00
10
10
10
10
00
00
01
10
11
00
11
10
11
11
10
10
10
10
10
10
00
01
11
00
10
01
00
10
01
00
10
11
00
01
00
11
11
00
01
10
00
00
00
11
10
11
01
00
00
10
00
00
10
00
01
10
01
11
10
10
10
10
10
10
00
00
11
01
10
10
01
11
10
10
10
01
00
10
00
00
00
00
00
01
00
10
00
10
11
11
10
10
00
01
00
11
10
00
01
10
00
11
11
00
00
11
10
11
10
10
00
10
10
00
11
10
00
11
10
00
11
00
01
01
00
11
11
00
10
10
00
01
10
11
00
01
10
10
10
11
00
01
11
01
01
10
10
10
00
01
10
10
00
10
01
00
01
10
11
10
10
00
11
10
01
01
00
00
10
00
10
10
00
10
11
01
01
00
01
10
11
01
11
10
00
00
01
10
11
01
10
01
11
01
00
10
10
10
00
00
10
00
00
00
00
10
01
11
10
11
11
01
00
00
01
10
01
10
11
00
11
00
10
11
01
10
10
10
00
00
00
00
00
10
00
00
00
00
11
00
00
10
01
01
01
00
11
11
01
01
10
01
11
01
10
01
00
01
00
10
10
00
00
10
10
00
00
11
10
11
10
00
11
11
10
10
00
00
10
01
00
10
10
11
10
10
00
01
10
10
00
10
01
00
11
11
11
10
00
10
00
10
01
01
10
00
00
11
01
00
10
10
10
00
10
01
10
11
01
11
11
11
00
00
00
10
10
11
00
00
00
10
11
00
01
11
00
10
10
10
01
00
11
11
01
01
01
10
10
01
00
10
11
00
01
11
10
11
00
00
00
00
10
00
10
10
10
10
10
11
00
10
11
00
00
10
00
00
10
01
00
10
11
00
00
10
01
00
00
11
01
01
11
01
11
11
00
10
00
00
11
11
10
00
10
10
00
00
01
00
10
10
00
00
01
10
11
10
00
00
00
00
00
11
10
01
00
10
01
01
11
00
10
00
00
10
11
00
10
01
10
00
10
10
01
10
11
10
01
00
11
00
00
00
10
11
00
10
00
10
11
00
01
10
10
00
01
00
11
10
00
00
11
10
00
10
10
11
00
11
01
00
00
00
00
00
10
11
01
10
00
00
10
11
10
10
10
01
00
00
01
01
00
11
10
00
00
01
10
11
00
00
00
10
01
10
00
10
00
00
10
10
00
10
00
10
00
00
10
10
11
00
00
00
10
11
10
00
00
10
01
10
10
00
10
10
11
00
01
10
11
10
00
01
01
01
10
00
10
01
10
01
10
10
00
00
01
10
00
10
00
01
10
01
10
00
01
10
00
00
10
11
01
11
11
10
00
00
01
10
01
00
01
10
01
11
10
00
00
00
11
01
01
10
00
10
10
11
00
11
11
00
00
11
10
00
00
10
10
00
01
10
10
00
10
10
00
00
00
11
10
10
10
11
01
00
10
11
00
01
10
00
10
10
10
00
00
10
11
10
10
00
11
00
10
10
01
10
10
10
00
11
10
01
10
11
01
10
10
01
10
11
01
00
00
11
10
11
00
01
10
10
00
01
11
01
01
10
00
11
10
10
01
00
01
10
01
10
10
10
10
11
00
11
00
10
00
10
11
00
10
10
00
00
10
00
01
11
11
00
01
01
00
10
00
00
10
11
00
10
10
11
01
01
10
01
00
00
11
10
00
00
10
01
00
10
11
00
00
01
00
10
00
00
11
00
00
11
11
00
10
00
00
01
10
11
01
10
00
11
00
00
10
11
10
10
10
10
00
10
10
00
00
11
00
10
11
11
10
11
11
00
01
10
01
00
10
11
10
01
00
01
10
00
00
10
11
01
10
00
10
11
01
00
00
11
10
00
10
11
01
11
10
01
11
11
00
10
00
00
10
10
11
00
10
01
10
10
00
01
00
11
00
11
10
00
11
10
01
00
01
10
01
00
01
10
10
10
01
11
10
10
00
11
10
00
01
10
00
00
00
11
00
10
11
11
00
10
01
00
10
11
00
00
01
10
10
00
00
01
10
10
10
10
00
11
10
00
11
00
00
00
00
11
00
00
00
10
10
10
10
11
01
01
11
01
00
01
10
11
00
01
11
10
01
00
10
11
10
01
10
00
00
00
10
00
00
10
10
00
00
11
10
10
11
10
11
00
11
01
01
10
10
01
11
11
01
00
10
10
10
00
10
10
00
00
01
00
10
00
11
01
00
10
10
10
00
10
10
00
00
00
01
10
11
01
00
00
00
10
01
00
10
10
00
10
10
11
01
01
01
10
00
00
00
11
01
00
11
11
00
01
01
10
10
11
00
00
10
10
00
01
01
01
10
01
10
00
11
00
10
10
01
00
01
01
10
10
01
00
10
01
00
00
10
10
10
00
00
10
01
01
10
01
00
11
00
10
11
00
10
10
00
10
11
01
10
00
00
10
10
00
00
00
00
10
10
00
10
01
10
00
00
10
11
10
10
11
10
01
10
10
00
00
10
00
10
11
10
10
00
10
01
00
11
11
00
10
11
10
10
00
00
00
10
01
11
11
00
00
10
10
00
11
00
01
10
10
00
00
10
10
01
00
11
10
00
10
11
00
10
01
01
01
00
00
10
01
10
10
00
00
10
10
00
00
11
00
10
10
00
10
10
10
00
00
01
01
10
10
11
10
11
01
10
10
00
10
00
10
11
00
10
11
01
00
10
10
11
00
00
10
00
11
10
00
10
00
00
11
10
01
01
11
00
11
10
10
01
01
01
00
10
01
00
10
11
10
00
11
10
11
00
00
10
00
10
00
00
10
10
00
00
10
10
00
00
00
00
10
00
10
10
10
00
01
10
01
00
11
01
10
10
00
10
10
00
00
00
11
00
11
10
10
01
11
11
00
11
00
10
10
10
10
00
00
10
11
01
01
10
00
10
10
10
10
00
00
10
10
10
00
10
10
10
11
01
00
10
11
00
10
10
10
10
00
01
00
11
10
10
11
00
10
10
00
01
10
10
10
11
00
11
00
01
10
00
00
11
10
00
01
11
00
11
00
11
01
10
01
01
01
10
10
01
00
10
10
11
00
11
10
00
00
11
01
00
10
11
11
00
10
00
01
11
10
00
00
00
10
00
00
10
10
00
10
10
01
01
10
10
10
01
11
11
01
11
10
01
00
11
01
01
10
11
10
01
10
10
00
10
10
01
00
10
01
11
00
00
10
01
10
10
11
10
01
01
11
01
00
01
00
00
01
01
10
10
00
01
00
00
10
11
01
00
10
00
11
11
01
10
01
00
10
01
10
11
00
01
10
11
00
01
01
11
00
00
10
11
00
10
10
01
10
11
10
01
00
10
00
00
11
10
00
01
11
11
10
01
10
10
10
11
00
01
00
10
11
10
10
00
10
10
01
10
00
10
10
01
11
11
10
00
00
01
00
11
11
00
00
10
00
01
00
10
10
00
11
00
10
10
11
10
10
01
01
10
00
01
10
10
00
00
10
11
01
00
01
10
11
10
00
00
11
01
01
01
00
00
11
00
01
10
11
10
11
00
01
10
10
01
10
10
01
10
00
11
00
00
00
00
11
10
11
10
10
00
10
11
10
10
00
01
00
10
10
11
00
00
11
11
01
01
00
10
10
00
00
11
10
01
00
00
11
10
11
10
10
01
00
11
11
00
00
11
00
00
00
10
00
11
00
00
00
10
10
11
10
10
00
01
10
00
10
01
00
10
00
11
10
01
11
10
01
10
00
10
00
00
10
00
00
00
11
00
11
10
10
11
10
00
00
10
10
11
10
00
11
11
11
11
10
01
11
11
00
11
11
10
01
01
01
00
10
00
11
10
01
10
10
10
01
10
01
11
10
10
00
01
00
00
10
00
11
10
01
11
11
10
11
00
01
00
10
10
00
01
10
10
10
10
01
00
10
00
00
10
10
11
10
11
00
01
01
00
10
01
10
10
10
01
10
10
01
01
10
00
10
10
01
00
11
01
11
01
00
11
00
00
01
00
10
11
01
00
00
11
00
10
10
10
10
00
01
11
10
01
00
10
10
00
00
00
01
11
00
10
11
11
00
11
11
00
10
00
00
11
10
01
01
11
10
11
10
00
11
11
00
00
00
11
10
10
01
00
01
10
10
00
10
10
00
10
11
00
01
10
10
00
10
10
00
01
10
00
10
01
00
01
00
10
00
10
10
00
00
10
10
01
00
10
01
00
00
10
10
10
10
11
11
10
10
11
11
00
11
00
00
00
10
10
00
00
00
00
00
10
10
11
11
11
10
01
10
10
10
00
00
10
10
00
11
10
00
10
01
11
00
11
11
01
11
00
01
10
00
00
01
11
10
00
00
00
11
10
00
10
10
01
01
01
10
10
00
01
10
11
01
00
01
10
00
10
10
10
10
00
10
01
00
10
10
11
10
10
00
10
11
10
00
00
00
10
00
00
11
00
10
01
00
00
10
00
00
10
11
00
10
11
10
10
00
10
10
01
00
11
10
00
00
10
00
00
10
10
10
00
10
00
10
01
01
10
10
10
11
11
00
10
00
00
00
00
00
11
10
00
10
01
01
00
00
10
10
01
00
01
10
10
10
10
11
00
01
10
10
01
00
11
10
11
01
10
10
01
10
10
11
00
10
10
00
00
10
11
10
10
01
10
10
10
01
01
10
00
00
10
00
10
10
11
00
01
00
00
00
01
10
10
00
10
11
10
10
00
00
10
00
00
10
10
10
00
00
01
00
00
00
10
00
10
11
01
10
10
00
11
00
11
01
10
10
00
10
10
00
00
00
00
01
00
10
10
10
00
11
00
00
11
10
10
00
00
10
11
01
11
11
10
11
10
00
10
01
00
11
00
01
10
00
10
00
00
10
00
00
00
10
10
01
00
00
00
10
00
00
00
00
01
00
01
01
10
10
01
10
01
01
10
10
10
01
10
11
00
11
00
11
00
00
00
11
01
11
01
00
10
00
00
11
10
00
01
11
10
00
10
11
11
10
01
01
11
10
10
11
11
00
00
10
10
01
10
00
00
11
00
10
00
10
11
10
11
00
10
10
00
10
10
10
01
01
11
10
11
11
01
00
01
10
10
10
00
11
10
01
01
01
00
00
00
11
10
01
00
10
11
00
01
01
10
11
01
01
00
00
10
10
10
00
11
11
10
10
10
11
00
01
00
10
01
01
11
11
01
00
00
00
10
10
00
01
11
10
10
10
01
01
00
10
00
00
10
10
00
00
10
01
10
10
01
10
00
10
01
10
10
00
00
10
01
10
01
01
10
10
11
00
10
11
01
00
01
11
00
10
00
01
00
00
10
10
00
00
00
01
11
00
10
00
00
10
11
10
01
00
10
00
00
00
11
10
00
01
11
00
00
00
10
10
00
00
10
10
10
11
11
01
10
10
00
10
10
11
11
01
10
10
00
00
11
10
00
11
00
11
10
01
00
00
00
00
00
10
10
01
00
00
10
10
10
00
00
11
11
10
10
01
10
00
10
01
01
10
10
10
01
10
11
01
10
10
00
00
10
10
10
11
10
00
01
01
11
10
11
00
10
00
11
01
00
10
11
01
10
00
01
10
01
10
00
10
00
01
10
00
00
01
10
11
10
11
10
01
00
00
10
01
10
10
10
11
00
00
10
11
10
10
10
00
11
00
10
00
01
00
10
10
01
11
10
10
01
10
10
10
00
10
00
00
10
10
10
00
01
01
10
11
01
10
01
00
10
00
11
10
00
10
11
10
00
00
00
00
01
01
00
00
10
10
10
10
00
10
11
00
01
01
00
10
10
00
11
00
00
10
01
00
01
10
00
01
00
00
10
01
00
10
10
00
11
11
00
00
01
01
01
01
11
11
00
00
00
10
11
01
01
10
10
10
00
10
11
00
01
10
01
00
10
00
10
01
00
01
00
10
11
00
01
10
10
11
01
01
10
00
01
11
11
10
00
11
11
10
00
00
00
01
11
00
10
11
00
00
01
11
00
11
00
00
10
00
00
11
10
01
00
11
00
01
10
10
00
01
10
10
00
00
01
10
11
11
11
00
00
11
11
11
01
11
01
00
00
10
10
10
10
00
00
11
00
00
10
00
10
10
10
10
10
10
01
10
10
11
10
00
10
10
01
10
11
00
10
10
00
10
11
00
11
10
00
00
10
00
00
11
11
10
10
00
00
00
01
00
11
01
00
01
00
10
00
00
10
10
01
00
11
00
11
10
10
01
11
11
01
00
01
11
00
00
10
11
00
10
10
00
00
11
00
10
00
01
10
10
11
00
10
10
10
01
11
00
11
00
10
10
00
10
00
00
10
10
00
00
00
00
01
00
10
00
11
10
00
10
10
10
00
01
01
00
10
10
01
00
00
00
11
10
01
00
10
01
00
10
00
10
10
00
00
01
00
00
00
10
10
00
10
11
11
10
00
00
11
11
01
10
00
10
00
10
10
11
00
11
00
10
10
10
11
00
00
10
10
11
00
00
11
00
00
10
10
00
10
10
10
10
00
00
00
11
11
00
00
10
00
11
10
01
10
01
11
01
00
10
00
01
00
00
00
10
00
10
11
00
10
10
00
10
00
00
00
00
11
10
00
01
00
01
11
00
00
00
10
00
11
11
01
10
10
00
11
00
01
10
10
00
10
10
00
00
10
01
00
01
00
00
10
01
01
11
11
11
11
11
11
01
11
00
00
10
00
00
10
00
11
01
11
10
00
00
01
10
01
01
10
00
01
10
01
11
11
01
00
10
11
00
00
11
10
01
00
00
11
10
00
10
10
01
00
10
11
00
00
00
00
10
11
01
01
11
10
11
11
11
01
00
11
11
00
00
01
10
00
00
10
10
00
01
10
01
01
10
01
10
10
01
10
00
01
10
11
10
10
00
01
11
10
10
01
11
01
01
10
10
00
01
10
00
11
10
01
10
11
01
00
01
00
10
10
10
01
10
10
00
10
00
11
00
10
11
01
11
00
10
01
01
01
01
10
10
10
00
00
10
10
10
01
01
10
00
00
11
10
10
00
00
11
01
10
00
00
00
00
00
11
10
11
10
01
01
01
00
00
00
00
10
11
10
10
01
10
11
00
01
10
11
10
11
00
01
11
11
01
00
10
11
00
01
00
10
10
00
00
10
01
00
00
00
00
10
00
10
11
11
01
01
11
01
01
00
10
10
00
00
00
00
11
10
11
11
10
10
00
10
00
00
11
10
00
10
11
00
11
00
00
01
00
10
10
00
01
10
01
00
10
00
01
00
01
11
10
00
00
01
00
11
10
11
01
00
00
10
11
11
11
01
11
10
01
00
10
00
11
01
01
11
10
00
01
11
00
00
11
10
11
00
10
01
00
00
01
11
10
10
00
10
00
00
10
10
01
10
10
00
00
00
10
01
10
00
00
10
00
01
11
10
10
11
01
01
00
00
10
00
10
00
01
10
00
00
10
10
00
10
00
01
10
01
00
10
10
00
00
10
00
00
10
10
00
00
01
00
10
00
00
10
00
10
11
00
01
01
11
10
10
10
10
00
00
01
00
11
10
10
10
11
11
11
01
10
01
01
10
00
11
01
01
10
10
10
10
10
00
00
10
00
00
00
00
00
01
10
11
00
00
10
11
10
00
00
10
10
00
00
01
00
00
10
10
10
11
01
00
10
00
00
11
01
10
11
00
01
10
00
01
01
01
10
01
00
00
11
10
10
01
00
11
10
10
00
01
11
00
01
11
10
10
00
10
00
00
11
00
01
11
00
00
11
01
00
11
00
00
01
01
11
00
11
10
10
10
10
10
00
00
00
01
10
00
11
01
10
11
11
11
00
01
10
00
01
10
01
00
10
11
00
11
10
00
00
11
11
11
00
00
10
10
11
11
01
01
11
11
10
11
00
00
10
10
01
00
00
11
01
00
10
10
11
10
00
00
00
10
10
11
00
11
00
00
10
11
11
11
01
00
10
10
00
01
00
11
10
00
11
11
11
11
01
00
01
11
11
10
01
01
10
10
00
00
00
10
11
00
00
00
11
00
10
10
00
00
11
10
00
00
10
00
00
00
10
10
10
11
00
10
11
11
01
10
00
10
10
00
00
11
10
00
11
10
10
00
11
00
00
00
10
10
00
00
11
01
10
10
10
00
00
11
00
10
11
10
10
00
11
00
00
11
00
01
10
11
10
11
00
10
00
00
00
00
10
01
11
01
10
10
01
00
10
00
10
10
00
10
10
00
00
10
01
01
10
00
11
00
10
00
00
10
00
00
10
10
11
01
01
11
11
00
10
01
00
00
11
10
00
10
11
11
00
11
10
10
01
00
00
11
11
00
01
01
00
10
10
10
11
01
01
00
01
10
11
10
10
10
00
00
11
10
00
00
01
10
11
11
11
01
11
01
10
00
00
00
00
11
11
00
10
11
00
10
11
00
01
00
01
10
01
00
01
10
10
10
01
00
00
01
10
10
00
01
01
00
00
10
10
01
10
11
00
10
10
10
10
00
11
11
10
00
10
00
00
11
11
10
11
00
00
11
10
01
01
01
10
10
00
10
10
01
01
10
11
01
10
00
10
10
01
00
10
00
00
11
11
00
00
10
10
00
11
00
01
10
10
10
00
01
10
00
01
10
10
11
10
00
00
10
10
00
00
11
01
00
11
00
10
11
00
01
10
11
01
01
10
01
11
10
00
10
10
10
00
00
00
00
00
01
01
00
10
01
10
01
01
01
00
10
10
00
00
01
10
10
01
00
00
00
10
10
01
10
10
10
00
00
11
00
00
11
10
00
10
01
11
01
00
00
00
10
10
00
11
10
00
00
10
10
00
10
10
01
10
11
00
01
00
11
00
11
10
00
11
10
00
10
11
01
00
10
11
00
01
11
00
01
11
01
11
00
01
10
01
00
10
10
00
01
01
00
10
10
00
00
10
00
00
10
01
01
10
00
01
10
10
00
01
10
01
11
10
00
10
01
00
10
10
10
10
11
11
01
00
00
00
01
11
11
00
00
10
10
01
10
10
00
00
11
10
00
10
10
00
01
00
00
00
00
11
11
01
10
10
00
11
00
11
10
00
00
10
10
01
00
10
00
00
00
10
10
00
11
00
11
00
10
10
10
00
00
11
10
00
00
11
11
01
01
10
00
00
01
11
10
00
10
00
00
10
10
01
01
11
01
10
01
10
00
10
10
00
00
00
10
11
00
10
10
11
10
11
00
00
11
11
01
10
11
10
10
01
10
10
01
10
01
11
11
00
00
10
00
11
11
00
00
00
00
10
11
11
10
00
00
10
10
10
01
10
10
10
11
10
10
01
00
10
01
01
00
00
10
11
00
10
01
10
11
00
10
00
11
10
00
00
10
00
11
00
10
11
00
00
10
10
01
01
00
11
00
11
11
10
00
00
01
11
00
11
11
00
00
10
00
00
10
10
10
10
11
00
00
00
10
00
10
10
10
00
00
10
00
01
00
10
11
01
00
10
11
00
00
11
11
00
00
11
01
10
10
01
00
00
00
11
11
11
00
00
10
11
01
00
01
11
10
11
11
00
10
00
01
01
01
10
11
00
00
00
10
01
00
00
10
10
00
10
00
10
01
10
11
11
00
00
00
00
00
10
11
10
10
10
11
10
00
10
01
00
00
00
01
10
10
10
10
00
00
11
11
10
00
01
10
00
10
00
00
10
11
10
11
10
00
11
00
11
00
10
10
10
00
10
10
00
00
01
00
11
01
00
00
10
11
10
11
01
11
10
00
01
01
01
10
00
00
01
10
00
10
11
00
01
01
10
00
10
00
00
01
10
10
10
00
00
01
00
10
11
00
10
01
10
10
10
00
01
00
01
10
10
00
00
10
00
00
11
01
11
00
00
11
00
11
10
10
00
11
11
01
01
00
10
10
10
11
01
00
11
10
00
01
10
01
00
11
00
00
01
11
00
01
10
10
10
00
01
00
11
11
01
11
10
10
01
11
11
10
11
01
01
10
01
00
11
00
11
00
10
10
00
00
11
00
00
10
01
10
10
01
10
01
00
01
01
10
10
01
00
11
10
01
10
00
00
11
11
00
10
11
10
01
00
00
00
10
00
00
00
11
01
10
00
00
11
10
11
01
10
00
01
01
10
10
01
10
01
10
11
00
10
10
00
10
11
10
00
11
10
11
01
10
10
00
00
00
11
10
00
00
00
00
00
11
10
10
00
00
10
00
11
11
10
00
10
01
11
00
10
10
00
10
10
00
11
10
10
00
10
10
01
10
00
00
00
10
10
01
11
00
10
10
01
10
10
00
11
01
00
11
00
11
11
10
11
00
10
10
11
00
10
01
00
11
10
00
00
10
10
10
11
00
11
10
11
11
10
10
00
00
10
01
00
10
11
01
10
00
01
11
11
00
10
10
00
10
10
10
10
10
11
10
10
00
10
11
00
10
10
00
00
00
00
00
10
01
11
00
11
10
00
00
01
11
10
00
00
00
00
10
00
11
11
00
10
11
00
00
10
01
01
10
10
10
10
00
01
10
10
01
00
11
01
10
10
00
00
01
10
10
01
10
01
00
00
10
10
01
11
00
00
10
01
00
10
00
10
00
00
10
10
10
00
01
00
00
10
00
10
00
00
11
10
10
10
00
11
01
10
01
11
00
11
00
00
10
10
10
10
10
00
00
10
11
10
00
00
00
00
10
10
10
11
10
10
01
10
11
00
00
00
00
10
11
00
11
00
01
11
01
10
10
10
00
11
10
00
00
10
10
10
01
11
10
00
01
01
10
11
10
01
00
11
10
00
10
10
00
00
00
11
00
00
01
10
00
11
00
01
10
10
10
00
01
00
01
01
11
10
10
01
10
10
00
00
10
10
01
00
01
10
00
11
00
00
00
11
10
01
01
01
00
10
00
00
10
00
10
01
00
11
10
10
00
00
00
11
00
01
00
10
01
10
00
00
00
10
10
10
10
00
11
00
10
00
10
11
00
01
00
00
00
10
01
10
10
01
10
00
10
11
00
01
00
10
01
11
01
00
10
11
00
10
00
00
10
10
00
11
01
11
10
10
00
01
00
10
10
00
00
10
00
11
10
00
00
10
01
01
01
10
10
00
01
11
11
00
00
10
00
11
10
01
01
10
10
10
11
00
10
11
01
00
10
10
10
01
00
00
11
11
01
10
00
00
11
11
00
10
10
01
11
10
00
00
10
10
10
10
01
11
10
01
00
10
10
11
01
10
11
00
01
11
11
01
10
00
01
10
11
00
01
10
00
00
11
11
01
01
01
10
11
01
10
01
00
10
10
10
00
00
01
10
10
10
11
00
01
10
00
00
10
11
01
10
00
10
00
00
10
10
10
01
00
00
00
10
10
10
00
00
10
10
00
10
01
10
11
00
10
01
00
10
11
00
10
00
00
00
00
01
10
10
01
00
00
10
00
00
00
11
10
10
11
10
01
01
00
00
10
01
01
10
10
00
00
10
10
11
01
01
00
10
00
00
10
11
10
00
10
00
11
00
10
11
10
00
10
00
00
10
00
11
01
10
00
10
00
01
10
10
01
10
11
11
11
00
10
10
11
00
01
10
11
00
00
00
00
10
10
00
00
00
00
10
10
00
10
00
10
00
10
10
00
01
00
00
11
10
10
00
00
10
00
00
00
01
00
00
10
00
11
10
11
11
01
00
00
10
10
00
10
11
00
11
11
00
01
10
10
01
01
10
01
10
10
10
00
00
00
00
10
10
01
01
00
10
10
00
01
10
11
01
10
10
10
10
11
10
01
11
00
10
00
00
10
01
01
00
01
10
00
10
11
10
10
11
01
11
11
10
00
01
00
00
00
10
10
00
00
00
01
11
11
01
00
01
00
10
10
10
00
10
10
00
00
00
11
11
00
10
00
00
00
10
00
00
11
10
11
10
11
00
10
10
00
10
11
01
11
10
11
10
11
00
10
01
01
10
10
10
00
11
11
01
10
00
10
10
00
10
01
00
11
10
11
00
00
10
00
10
10
00
01
10
11
10
11
10
10
01
00
00
10
10
00
11
10
10
10
11
11
00
01
00
11
10
10
00
10
10
11
01
00
01
11
10
01
00
11
10
00
00
00
00
10
11
01
01
10
10
11
10
00
10
11
00
10
10
00
11
10
01
00
10
10
10
00
00
10
11
10
11
00
10
00
01
10
10
11
01
11
00
00
00
10
00
10
10
00
01
11
00
00
11
10
11
00
01
11
00
11
01
01
10
10
00
01
01
11
10
00
01
11
11
10
11
00
00
10
10
01
00
00
11
00
01
10
00
10
00
00
10
10
00
00
10
01
01
00
11
10
11
01
01
00
10
10
00
11
01
11
10
11
01
00
10
00
00
00
00
10
10
10
01
11
01
10
10
01
10
00
00
10
10
00
10
11
00
00
00
11
10
10
00
00
00
00
00
10
01
00
11
00
00
00
00
00
11
10
00
11
10
01
10
11
01
00
11
10
11
01
00
11
10
00
10
00
01
01
00
10
01
01
00
01
00
00
11
10
11
01
10
10
00
01
11
11
00
01
10
01
10
00
11
10
01
00
10
10
00
11
10
11
00
10
10
01
00
00
01
00
11
01
10
11
00
10
00
00
10
00
01
11
00
10
10
00
10
10
00
11
10
00
01
10
11
01
10
01
00
00
00
11
10
00
00
10
11
00
11
00
10
10
00
00
11
10
00
00
10
00
01
00
11
10
11
01
00
01
00
10
00
01
11
01
00
00
01
11
10
01
11
10
00
01
10
11
01
00
10
10
00
10
01
11
10
10
00
00
11
10
00
10
01
00
10
00
01
01
11
10
00
10
00
00
01
00
10
10
11
00
10
01
10
11
00
11
00
10
11
10
00
00
01
11
10
10
00
00
10
01
10
01
11
11
00
11
00
00
11
11
10
00
11
00
11
00
01
10
10
01
01
11
10
11
00
10
10
01
01
01
10
10
11
01
00
01
01
11
10
00
01
10
11
01
01
01
11
00
10
10
10
10
00
00
11
10
00
00
00
00
01
01
00
10
10
00
10
11
00
01
00
11
00
00
00
11
11
00
10
10
00
00
10
11
01
01
01
01
10
10
00
00
11
10
00
00
01
01
00
01
01
10
00
10
10
00
10
11
00
11
10
11
00
01
10
10
10
00
00
00
00
10
10
01
01
11
11
10
00
10
01
10
10
00
01
10
00
10
00
10
01
10
01
00
11
10
10
10
10
00
10
11
00
11
11
11
11
01
00
01
10
00
00
10
10
00
00
00
01
00
00
11
10
00
10
10
00
00
10
10
10
11
00
01
11
10
10
10
10
00
00
11
10
01
00
00
10
11
10
10
11
00
00
01
00
01
11
10
10
11
00
11
00
01
10
10
10
01
10
11
00
00
00
10
11
11
00
01
00
01
10
10
00
10
01
01
11
00
10
10
10
10
00
10
10
10
01
00
10
11
00
10
01
00
11
10
10
11
00
00
00
11
00
10
10
10
00
00
10
10
10
00
01
01
01
01
11
11
10
10
00
11
10
11
01
00
11
00
10
01
01
10
00
00
11
00
01
00
00
10
01
00
01
10
10
10
01
00
11
00
00
10
01
00
00
10
10
01
01
00
10
10
11
10
10
00
00
10
00
00
01
10
10
10
01
10
00
00
10
10
01
00
10
00
10
01
10
01
00
10
00
11
10
00
00
11
10
00
10
00
11
11
10
11
00
01
10
00
11
10
11
10
10
00
01
10
00
10
11
01
10
10
00
10
10
10
00
01
00
11
11
01
11
10
10
10
10
00
00
10
10
10
10
01
10
01
00
00
11
00
10
11
00
00
10
10
00
01
00
10
11
11
11
00
11
10
00
01
00
01
00
01
11
10
11
01
11
10
10
01
10
11
10
11
00
01
00
00
10
00
00
10
10
01
10
00
11
00
11
10
11
00
00
01
11
01
10
10
10
10
01
10
01
00
11
00
00
10
10
10
00
10
10
10
00
00
00
10
01
00
11
10
01
10
01
10
11
00
00
11
11
10
00
10
10
10
00
10
11
10
10
11
00
11
01
11
10
10
00
00
00
10
10
00
00
00
00
01
10
10
00
00
01
00
01
10
00
11
10
10
00
10
01
00
10
10
01
01
00
00
10
00
00
00
01
11
00
01
11
01
10
00
01
00
11
10
01
00
01
11
10
10
01
00
10
01
00
11
10
10
11
10
00
00
10
10
11
00
10
00
00
10
11
00
10
00
01
10
00
01
10
10
01
00
00
11
10
11
10
00
00
01
11
11
01
11
10
11
10
00
10
10
00
01
10
10
01
01
00
00
11
10
01
00
10
00
01
10
10
10
00
00
10
10
00
10
10
01
11
00
00
01
10
01
10
00
10
10
00
00
01
10
00
00
10
00
01
10
01
10
10
10
00
10
01
00
01
10
11
00
00
01
10
00
00
10
10
00
10
10
11
10
11
10
01
10
01
11
11
10
01
10
01
00
10
00
00
10
10
00
01
10
01
11
10
10
10
10
01
10
00
00
10
10
10
11
10
11
10
10
01
10
00
00
10
10
00
01
10
10
00
00
01
11
10
11
10
11
10
10
00
01
00
10
10
01
01
11
11
00
11
00
11
10
00
00
01
11
00
01
10
00
00
11
10
10
00
00
11
00
10
11
00
10
11
01
10
11
01
10
00
00
11
10
10
00
00
10
00
00
10
10
00
10
00
10
10
00
10
10
01
11
10
10
01
00
10
01
10
10
00
11
11
01
10
10
10
00
10
00
00
11
00
01
00
00
00
11
11
00
10
10
10
10
00
00
10
10
00
11
10
01
00
00
00
10
01
01
01
10
00
00
10
01
11
00
10
11
00
10
01
10
01
01
00
11
10
10
11
10
00
10
00
00
10
01
00
00
10
10
00
00
01
11
10
01
11
01
10
11
10
00
01
00
10
10
10
00
00
00
11
10
11
00
00
00
11
00
01
11
10
10
00
10
01
10
11
01
00
10
00
01
10
00
10
00
10
10
01
10
00
10
00
10
01
11
11
11
00
00
10
00
00
00
00
11
10
10
11
10
00
01
10
01
01
00
01
10
10
10
10
00
11
00
01
11
10
11
10
10
00
11
11
11
00
00
11
11
00
10
10
10
00
11
10
00
00
00
11
10
10
00
01
00
00
10
10
11
10
11
11
10
01
10
00
00
10
11
00
01
10
11
00
00
10
10
10
11
11
00
00
11
10
00
10
10
11
00
10
00
11
00
10
11
10
00
01
10
00
10
10
00
01
00
11
00
10
10
01
00
10
00
01
10
01
00
11
00
10
10
10
10
00
00
10
00
00
11
00
00
01
11
10
10
10
00
10
10
01
10
01
00
11
10
10
10
00
00
10
00
00
10
10
10
01
00
10
01
10
11
00
10
01
00
00
10
10
00
10
11
01
00
11
01
01
01
10
01
11
10
11
01
01
11
10
01
00
10
11
00
10
10
00
00
00
11
11
00
01
10
00
11
11
00
00
10
11
10
01
11
10
11
01
00
00
01
10
10
01
00
11
01
00
10
01
01
10
01
01
10
01
10
10
00
01
00
00
00
10
00
01
11
10
00
00
01
00
10
01
00
11
11
01
10
11
00
00
01
00
10
11
01
00
00
01
11
10
10
00
01
11
11
00
10
00
10
11
01
00
11
10
11
00
10
10
00
00
10
10
00
11
10
00
00
10
00
00
00
00
10
10
00
10
01
00
10
00
01
10
00
00
11
00
01
00
00
01
00
00
00
10
11
10
01
10
01
00
10
11
00
00
10
00
00
10
10
00
01
00
10
00
10
10
10
00
00
11
00
00
10
00
00
00
00
00
10
11
00
10
10
00
00
11
10
00
11
10
00
10
10
10
11
01
01
10
10
00
11
11
11
10
00
10
00
01
10
00
01
11
11
11
00
11
10
00
10
10
00
00
00
10
01
01
10
10
10
11
11
00
01
11
10
10
00
00
00
01
10
10
00
00
10
10
10
00
00
11
10
00
01
10
01
11
01
00
01
10
10
01
01
11
00
01
11
01
00
10
10
00
00
10
01
01
10
10
01
10
11
00
01
10
10
11
00
00
00
00
10
10
10
00
10
11
00
01
11
10
01
11
10
10
10
01
10
11
01
10
10
10
00
00
10
10
10
01
00
01
10
00
10
10
00
00
00
11
01
10
10
01
00
00
10
10
00
11
10
01
00
10
00
10
01
00
00
11
00
10
10
10
10
00
00
00
00
00
00
10
00
01
01
10
00
01
01
10
00
10
01
00
10
11
11
10
10
00
00
00
10
11
01
10
00
10
10
11
11
00
10
11
00
10
10
01
00
10
00
11
11
00
00
00
11
11
10
00
10
01
01
01
10
00
11
10
00
10
10
10
00
01
10
10
01
00
11
01
10
00
00
00
01
00
11
10
10
10
10
11
00
10
01
01
11
00
00
00
00
01
00
10
11
10
00
00
00
10
00
00
00
01
00
11
11
01
10
11
10
10
00
00
10
00
01
11
00
11
10
00
10
01
11
10
01
00
00
11
10
01
01
00
10
11
00
10
00
00
11
10
11
00
01
11
10
00
10
00
10
11
01
10
11
00
11
00
01
00
11
00
00
01
10
10
01
00
11
01
00
10
00
10
10
11
00
00
10
10
10
10
00
01
11
10
00
10
10
01
00
10
00
10
10
11
01
00
10
10
11
10
10
01
01
10
10
11
10
11
10
01
10
00
11
10
00
00
10
10
10
10
00
10
10
10
00
00
10
00
11
10
11
00
10
01
10
01
00
10
10
10
00
00
10
10
00
11
10
00
01
11
10
10
11
01
00
10
11
10
11
00
01
00
00
00
11
01
00
10
11
00
01
11
10
11
00
00
00
00
11
10
10
00
00
10
10
00
10
00
01
00
10
11
01
10
11
10
11
11
10
01
11
00
00
00
11
10
10
01
00
01
01
00
00
00
10
10
10
00
10
00
00
10
11
00
10
01
00
01
00
10
11
00
10
11
00
10
01
00
10
00
00
00
00
10
10
00
11
00
00
00
00
00
00
11
11
01
10
10
01
10
11
00
11
11
00
10
01
00
10
11
01
01
11
00
01
10
11
01
10
11
01
10
10
01
01
10
10
00
01
10
00
11
01
00
00
00
11
10
10
00
10
10
10
00
00
01
10
10
00
00
11
10
11
00
00
10
00
10
00
00
00
10
10
10
00
10
00
11
01
01
10
10
00
10
10
00
00
10
11
11
00
11
01
10
10
10
10
00
11
10
00
00
11
10
11
01
10
00
00
10
01
00
10
01
10
11
00
00
10
10
10
00
11
10
00
10
10
00
00
11
10
11
00
11
10
01
10
00
00
10
10
11
01
00
01
00
11
00
10
10
00
00
11
10
10
01
00
10
01
10
10
00
01
11
11
01
10
00
00
10
11
01
00
00
00
10
00
00
10
00
00
11
00
00
00
00
10
00
11
10
11
10
01
10
10
00
00
10
00
10
10
10
00
00
11
00
00
10
10
11
01
10
10
00
00
00
11
10
00
10
00
00
00
00
10
10
00
10
11
00
10
00
01
01
10
00
00
11
10
00
00
01
10
11
00
11
11
10
11
11
10
01
00
10
11
00
00
00
00
10
00
01
11
01
01
00
10
00
10
10
11
10
00
00
00
10
01
10
10
00
00
10
10
01
00
01
10
11
00
01
11
10
01
11
10
01
10
10
01
11
11
00
01
11
00
00
00
11
10
00
00
01
11
10
00
11
10
10
10
00
10
11
00
10
00
11
10
11
10
01
10
00
00
10
00
01
00
10
10
10
01
00
01
00
00
10
10
01
00
01
11
10
11
10
10
00
10
10
00
01
00
01
00
10
10
00
00
11
10
00
00
01
10
00
00
10
00
10
10
00
01
10
11
10
10
00
10
00
11
01
00
11
10
00
01
11
10
00
10
10
00
10
00
01
01
11
00
10
10
01
00
10
10
00
10
10
00
10
10
00
00
11
00
10
00
10
00
00
00
10
10
10
11
00
01
00
01
01
10
01
01
00
10
11
01
00
10
10
00
01
00
10
00
00
10
10
00
00
11
10
01
01
10
00
10
10
00
00
11
10
01
00
10
10
00
10
11
01
01
10
10
10
01
00
00
10
10
00
10
10
00
00
00
00
01
10
10
00
01
00
10
11
10
10
10
00
01
10
11
11
01
00
00
00
10
00
01
10
11
00
10
00
11
10
00
00
11
00
00
00
11
01
10
00
10
10
00
10
00
00
10
10
11
01
00
11
00
01
01
01
10
11
10
00
11
10
00
10
10
00
10
10
00
01
10
10
10
11
10
11
00
00
01
01
00
10
01
00
10
11
10
10
10
10
00
00
11
00
11
00
00
10
01
01
10
10
00
10
00
00
10
11
01
01
10
00
01
00
10
01
10
10
01
10
00
10
10
00
10
11
01
11
10
10
10
00
00
00
01
10
10
00
11
00
00
10
10
11
00
01
00
10
10
10
00
10
11
00
00
01
11
00
11
10
00
01
00
01
11
00
00
10
11
00
10
10
00
00
10
00
01
00
00
00
11
00
01
10
10
00
10
00
00
11
00
10
11
00
10
00
11
00
11
11
10
00
11
00
10
11
10
11
10
10
11
00
00
00
10
10
00
10
10
00
10
11
01
11
00
00
10
11
11
11
10
01
10
11
00
01
11
10
10
00
10
10
01
01
10
00
01
00
01
10
11
01
00
00
00
10
10
10
00
10
00
10
10
00
10
01
10
11
11
10
01
00
10
01
11
11
10
00
01
10
00
10
10
10
11
11
01
00
11
00
10
10
10
10
01
00
10
11
11
00
01
01
00
00
01
00
10
10
00
01
10
11
10
11
11
11
00
00
10
10
01
01
10
11
00
00
11
01
10
00
00
10
10
11
01
00
10
00
01
01
01
00
10
11
01
00
00
10
10
00
10
10
10
01
00
11
01
01
00
10
10
01
10
10
01
00
11
10
11
11
00
11
00
01
11
00
00
00
10
11
00
00
10
00
01
10
10
10
11
10
00
00
00
10
01
00
10
10
10
01
00
01
10
00
00
00
00
01
10
11
10
00
10
00
00
01
10
11
10
00
10
11
10
00
00
11
00
00
10
10
00
01
11
11
01
00
00
11
10
01
01
11
11
01
00
11
00
10
01
01
10
00
00
00
01
00
11
10
11
01
00
11
10
10
10
00
01
00
10
01
00
11
10
00
00
11
10
11
11
00
01
11
10
00
10
01
10
10
00
00
00
01
01
00
11
10
00
11
10
11
00
01
10
10
10
00
10
10
00
01
10
10
11
00
00
11
10
00
00
11
00
00
11
01
00
00
00
11
10
00
11
00
11
10
10
11
01
01
01
01
10
00
10
01
00
11
10
00
10
11
00
10
00
00
11
10
00
10
10
11
10
00
00
11
11
10
00
11
10
01
11
11
10
01
10
10
00
00
11
00
10
00
10
00
10
10
00
10
10
11
10
00
01
00
10
10
00
10
01
00
11
11
11
01
10
00
01
10
10
11
01
00
00
00
01
11
10
10
10
01
01
00
10
10
00
10
00
01
10
11
11
00
10
01
10
10
11
10
10
01
10
10
00
00
10
00
00
11
10
00
11
01
00
11
01
00
01
10
10
00
10
10
11
11
00
01
00
10
01
10
11
01
10
10
00
10
00
11
10
00
11
10
01
00
01
11
11
00
00
10
10
11
00
00
01
10
00
10
00
00
00
10
10
00
01
00
11
11
11
11
10
00
10
11
00
00
11
10
01
10
10
00
10
10
01
01
11
10
00
01
10
10
01
11
11
00
01
00
10
10
00
10
10
01
00
10
10
00
11
00
10
10
00
01
11
01
00
11
10
10
10
11
00
00
00
00
00
00
11
00
11
11
00
10
01
11
00
00
00
11
00
00
00
10
11
00
01
00
00
00
00
01
00
00
11
00
01
10
00
11
00
10
10
10
10
10
01
10
10
10
10
00
10
00
01
01
11
01
00
10
00
11
01
11
01
00
00
00
01
10
11
00
00
10
01
01
01
10
10
11
01
11
00
00
10
00
00
00
10
11
10
00
11
11
01
00
10
11
11
01
01
00
11
10
01
01
10
01
00
10
10
10
01
00
10
10
01
01
00
10
10
10
10
11
00
10
01
11
11
10
10
00
10
00
01
00
01
11
11
01
10
11
00
11
01
10
10
00
00
11
10
01
11
00
11
10
10
01
01
11
11
10
01
10
01
01
11
11
01
11
10
10
00
00
10
10
01
00
01
10
10
00
00
10
00
00
10
10
01
00
01
00
00
01
11
10
10
00
01
10
10
11
10
00
10
10
01
00
11
00
10
10
00
10
11
11
00
11
10
11
11
10
10
00
00
11
01
01
10
00
00
10
10
00
00
10
10
01
00
10
10
00
01
11
10
00
01
10
01
10
00
00
11
10
10
11
00
10
11
11
01
01
10
00
00
10
11
10
11
00
10
11
00
10
00
10
10
00
00
11
00
01
11
10
10
01
00
10
10
00
00
10
11
00
01
10
11
00
10
10
10
00
00
10
10
01
00
10
10
10
00
10
10
11
01
10
01
00
10
00
11
00
10
10
00
11
11
10
00
10
10
01
00
10
10
00
01
01
01
00
10
00
01
10
11
10
00
10
10
01
00
00
11
00
10
01
11
10
00
10
00
00
01
10
10
00
11
10
01
10
10
01
11
10
00
10
10
01
11
01
00
10
01
10
01
00
01
00
11
11
00
10
10
00
01
01
10
10
01
11
01
10
11
00
00
00
00
11
00
11
10
10
00
00
10
10
11
00
10
00
00
10
01
00
01
10
11
01
11
00
01
10
11
00
01
10
10
00
10
10
01
00
00
00
10
10
10
10
01
10
10
10
00
10
11
00
10
11
10
01
00
11
00
00
11
00
10
11
00
01
00
11
10
11
00
10
01
00
10
11
11
00
01
11
11
01
01
10
11
10
01
11
10
00
10
11
00
01
00
00
01
10
11
10
10
10
10
00
10
00
01
10
10
10
01
00
00
01
10
11
00
10
01
10
01
00
00
10
10
00
10
00
10
00
00
00
10
00
00
10
11
00
10
01
10
00
01
10
10
10
00
00
00
00
10
00
00
11
01
01
00
11
10
00
01
10
00
10
10
00
00
10
10
00
00
00
00
00
10
00
01
10
11
00
00
10
01
10
10
10
11
10
10
01
01
11
01
00
00
10
10
11
00
00
11
00
10
01
01
11
00
00
11
01
00
10
00
00
01
10
00
11
00
01
10
11
10
01
00
00
11
10
01
10
10
11
00
00
10
00
00
11
00
00
01
00
10
10
00
00
00
10
01
10
00
10
00
00
00
10
00
10
00
10
00
00
00
00
01
10
10
10
00
11
10
11
00
00
11
10
11
00
01
10
10
00
01
11
11
01
00
01
00
00
10
10
11
10
01
00
11
01
10
11
10
01
01
10
10
00
01
11
10
00
11
00
10
00
01
10
00
01
00
00
00
10
00
10
00
00
00
01
00
01
11
11
10
00
10
00
11
11
01
10
10
00
00
00
01
00
10
00
10
00
00
10
10
10
01
10
00
10
10
00
00
10
00
01
00
11
10
00
00
00
10
01
10
10
10
10
00
11
11
00
11
11
00
10
10
10
01
01
10
11
10
10
00
00
00
00
01
10
10
11
00
00
00
10
00
00
00
10
01
10
11
01
10
00
00
10
11
10
10
10
01
00
00
10
10
00
10
10
00
11
00
11
10
10
10
11
01
10
11
00
00
11
10
10
01
00
11
00
10
01
00
01
11
00
01
11
10
01
00
10
01
00
11
10
01
00
10
10
00
00
10
11
00
10
10
00
10
00
01
00
01
00
00
11
01
10
00
00
10
00
10
10
00
00
11
01
10
00
11
00
11
01
00
11
11
00
00
10
01
01
10
00
10
11
11
11
10
01
00
10
01
10
00
11
00
00
00
00
10
00
10
10
00
11
10
00
00
10
01
10
10
01
10
00
00
10
01
11
00
01
10
10
01
00
10
10
01
00
10
01
11
01
01
10
11
10
00
01
01
01
10
10
00
01
00
11
00
00
10
00
11
10
00
01
00
10
00
00
11
00
10
10
00
11
00
10
11
00
01
00
11
10
00
01
00
10
01
00
11
11
10
00
00
01
10
10
10
10
00
00
10
11
00
00
10
11
00
11
10
00
11
01
10
10
11
10
10
00
01
00
10
01
11
11
00
10
01
10
00
10
11
00
00
00
11
10
10
10
00
10
00
10
11
11
00
11
10
01
00
00
10
10
10
00
00
11
00
00
00
10
11
00
10
10
00
00
10
11
00
00
10
10
11
10
10
10
10
11
11
11
10
11
00
00
10
00
00
11
01
00
01
01
10
11
10
10
00
11
10
11
10
11
10
01
00
10
01
01
00
11
00
00
00
10
10
10
01
01
10
01
01
10
00
10
01
01
10
10
10
01
00
10
01
00
11
10
11
00
10
00
00
01
10
01
00
00
10
00
10
10
10
00
01
10
00
10
10
10
11
00
11
00
00
00
01
10
11
10
00
10
10
10
11
11
00
01
10
10
00
00
10
01
00
10
01
01
00
00
11
10
10
01
00
00
11
10
00
00
11
10
10
01
00
11
10
01
00
00
10
00
01
00
10
10
10
01
10
00
00
10
10
10
00
01
00
10
11
10
10
10
00
11
01
10
01
01
00
10
01
01
01
01
10
00
11
01
10
01
01
10
10
10
11
10
00
11
00
11
01
00
10
01
00
01
10
11
00
11
00
10
10
01
10
10
01
10
00
11
00
00
10
00
11
10
10
00
00
00
00
01
11
10
11
11
01
00
01
11
00
10
10
10
00
00
10
00
00
11
10
00
00
10
01
11
11
11
01
00
10
11
00
00
10
00
00
10
10
00
01
11
00
10
00
11
10
10
10
10
11
10
01
00
00
10
10
00
00
10
10
10
00
00
10
00
10
01
10
10
01
01
00
10
10
10
10
00
00
10
10
00
11
00
00
10
00
00
00
00
10
00
10
00
00
11
00
00
01
10
11
00
10
10
10
01
00
10
10
01
10
01
10
10
00
10
01
00
01
11
00
01
10
11
11
00
01
00
11
11
01
00
01
10
10
00
00
11
11
10
11
11
00
10
10
00
00
11
11
01
10
10
10
11
01
10
10
10
00
11
10
00
00
10
00
00
10
10
11
11
10
01
00
11
10
00
10
00
11
11
10
01
00
00
10
00
11
10
00
11
11
10
00
01
11
10
00
00
11
10
10
01
01
00
10
11
01
00
10
11
11
11
11
00
01
11
11
10
00
00
11
10
00
10
00
00
11
00
10
00
00
10
10
00
11
10
01
00
00
10
00
00
10
01
01
10
10
01
11
11
10
00
01
00
01
10
10
01
10
00
00
10
10
10
00
00
00
10
10
00
00
00
10
01
01
10
11
01
10
01
01
10
11
01
00
10
10
00
00
01
00
10
00
00
10
10
10
00
01
00
10
00
00
10
00
00
10
00
01
00
00
01
00
00
10
11
00
01
10
01
10
11
10
01
00
11
01
10
01
00
01
10
00
00
00
11
10
00
10
10
11
00
01
10
10
00
00
11
10
00
00
00
10
00
00
10
10
10
10
00
10
10
01
10
10
10
00
00
11
00
00
00
10
11
10
11
11
01
01
10
10
00
10
10
00
11
11
10
00
10
00
00
10
00
01
10
10
10
00
11
11
01
10
00
00
11
11
10
00
00
10
10
11
00
00
10
11
00
10
00
10
10
00
10
00
00
11
10
10
00
10
10
11
00
01
11
00
10
11
01
10
11
11
01
01
00
00
00
11
10
00
10
10
10
01
11
10
10
00
01
11
01
11
00
00
00
10
10
00
00
10
11
10
00
11
01
10
11
00
00
10
00
11
10
01
10
01
00
01
00
10
01
00
00
11
10
01
10
10
00
10
11
00
11
10
10
00
11
01
00
10
10
10
01
00
01
00
11
00
11
11
01
00
10
00
11
00
00
11
10
10
10
10
00
10
01
10
00
01
10
10
00
00
10
00
01
00
10
10
10
10
00
10
11
00
01
11
10
01
11
00
01
11
10
00
01
00
00
11
11
10
10
11
00
01
10
10
00
00
01
10
00
01
11
01
01
00
11
10
01
10
00
00
00
00
11
10
00
10
10
00
10
10
11
11
11
00
10
10
00
00
11
00
01
10
00
00
10
01
11
10
10
10
10
01
10
11
01
10
00
01
10
10
00
00
11
00
00
10
00
10
10
00
00
11
01
00
11
10
11
10
00
01
11
11
00
10
10
00
00
11
10
00
00
00
10
00
01
01
11
00
00
10
00
11
11
00
00
10
00
01
00
11
11
00
10
00
01
00
01
10
11
01
10
00
00
11
10
10
01
00
11
00
11
11
11
10
00
01
10
11
00
00
10
01
10
00
00
10
11
00
11
00
00
00
01
01
00
10
10
00
01
01
11
10
00
01
00
10
00
00
10
10
10
00
00
00
00
01
11
00
10
10
00
01
01
10
01
01
10
10
10
00
10
01
01
10
00
00
10
11
00
00
10
10
00
11
10
01
11
00
10
10
10
00
00
11
11
11
11
00
01
00
00
10
10
00
01
00
00
11
00
10
00
00
01
11
10
01
11
11
01
10
00
10
10
00
00
10
10
00
01
10
10
00
10
10
10
10
00
00
10
00
00
10
10
10
10
00
00
00
01
10
11
00
10
11
11
10
10
10
00
01
00
00
10
10
00
00
01
10
11
00
10
00
00
01
01
01
11
11
10
11
01
00
10
11
00
00
10
00
10
10
10
11
10
00
10
11
10
00
00
00
01
10
11
00
10
10
00
00
10
10
11
10
10
01
10
01
10
00
00
10
00
11
10
00
10
00
11
11
00
11
00
01
01
10
11
01
00
10
10
10
01
10
00
00
00
00
10
10
10
10
11
01
10
10
00
00
10
10
01
01
10
11
11
00
10
10
11
00
01
10
10
00
11
11
00
01
01
01
10
10
11
11
10
01
00
11
11
01
10
10
10
00
01
10
01
00
00
10
10
01
11
01
01
00
10
10
10
00
10
10
00
10
00
11
10
10
10
00
10
00
01
01
10
10
00
01
11
10
01
10
01
10
11
00
10
11
00
10
10
10
10
00
10
00
10
10
11
00
10
01
00
01
00
00
11
10
10
10
01
01
10
10
11
10
11
11
00
11
01
00
01
00
10
01
10
10
10
00
01
00
01
11
00
01
11
11
00
11
10
11
00
00
11
00
10
11
01
11
00
00
11
00
11
00
00
10
10
00
11
01
00
10
11
01
00
10
10
10
00
11
01
01
10
11
00
10
11
00
10
11
10
00
11
00
00
10
10
10
10
10
00
01
11
10
10
11
01
10
10
00
11
00
00
10
11
10
10
00
00
11
01
10
10
10
11
00
01
01
10
10
00
10
11
10
00
00
10
10
01
11
10
00
01
00
11
10
10
01
11
11
01
00
00
01
11
11
11
00
10
10
00
01
10
10
00
00
00
00
00
11
11
11
10
10
00
00
10
01
10
00
01
11
10
01
00
00
01
10
10
00
01
11
01
00
01
10
00
01
00
11
10
00
00
10
10
01
11
11
00
00
10
11
10
10
01
00
00
10
00
10
10
00
01
00
11
00
01
00
01
10
11
00
00
11
10
01
10
10
00
00
10
10
10
11
10
00
01
10
11
01
00
00
01
00
10
11
00
11
00
10
00
00
11
00
01
10
00
10
01
00
10
00
00
00
00
00
10
11
00
11
11
01
10
00
00
01
00
10
00
00
10
01
10
10
11
10
10
00
00
00
10
10
00
00
10
00
00
11
00
00
00
00
00
11
00
00
10
11
01
00
00
11
00
10
11
00
00
10
10
10
10
10
10
00
00
10
11
00
00
00
11
00
00
11
11
01
00
01
10
01
10
10
10
00
10
10
11
00
11
11
11
01
10
11
00
10
11
00
00
10
00
11
00
11
11
10
00
00
01
10
00
10
00
10
10
00
00
11
01
10
11
00
10
00
01
00
00
11
10
00
10
00
00
10
00
00
00
11
10
10
01
01
00
01
11
10
00
10
00
00
10
10
11
10
00
00
11
10
00
11
11
10
10
10
10
11
00
00
11
10
10
00
00
00
11
11
11
10
00
10
00
10
10
01
00
11
01
01
10
01
00
01
00
00
01
11
01
10
11
01
10
11
00
00
10
10
00
00
10
10
10
11
00
01
00
00
10
11
01
10
10
00
00
01
10
11
10
01
00
01
00
01
01
10
00
01
11
00
00
10
00
00
10
10
10
10
10
01
10
01
11
11
10
10
01
01
00
11
11
10
10
10
11
10
11
00
01
01
00
00
00
10
00
00
00
11
00
00
01
00
11
01
00
10
11
00
01
00
10
10
11
00
00
11
10
01
10
10
00
10
00
10
10
01
10
01
10
00
00
10
11
00
10
10
00
00
00
10
11
00
01
00
00
10
01
10
10
10
01
01
01
01
00
10
01
11
00
10
10
00
10
11
00
01
10
11
10
01
10
00
00
10
01
00
11
10
01
00
11
10
01
10
10
10
01
00
00
00
11
11
10
00
01
00
11
11
00
01
00
11
00
10
10
00
00
10
11
00
10
00
01
11
10
01
11
01
10
10
01
00
00
10
10
00
10
11
00
10
10
01
10
00
10
10
10
11
00
00
11
00
01
10
10
00
01
00
11
00
11
00
00
00
11
11
01
00
00
10
11
00
10
10
00
10
11
01
00
00
10
10
00
11
00
00
00
00
01
10
11
10
10
01
10
00
10
00
00
10
10
00
10
10
00
01
00
00
10
10
11
01
11
11
11
01
11
10
00
00
10
10
10
00
01
11
11
01
01
11
10
00
00
00
00
11
10
00
11
10
00
00
10
10
10
11
01
10
10
01
00
00
00
10
11
01
01
10
10
10
11
10
10
00
00
10
01
01
11
10
00
11
10
11
00
00
10
01
10
10
00
00
00
01
11
10
00
10
00
10
11
00
10
00
11
10
00
10
00
01
00
11
01
00
10
10
00
00
01
01
11
01
00
10
11
01
10
10
00
00
11
11
00
01
10
10
11
10
00
00
00
10
11
10
10
00
00
01
10
10
10
11
00
10
00
10
10
10
00
10
10
00
10
10
10
10
10
01
00
00
01
11
01
01
00
00
10
01
00
10
10
00
01
00
00
11
00
10
10
00
11
10
10
00
01
00
10
01
00
00
01
10
10
10
00
11
11
10
01
00
10
10
01
10
00
00
00
10
00
10
01
00
10
11
11
11
10
10
10
10
10
01
11
10
00
01
01
11
10
00
01
00
00
10
11
10
10
10
00
11
00
01
10
01
01
00
01
01
10
01
11
10
00
01
10
10
11
10
00
00
10
01
11
10
10
10
00
01
01
01
00
11
00
00
01
10
10
01
10
00
00
01
00
01
01
11
10
10
11
11
10
11
00
00
00
10
00
10
10
00
10
11
00
11
10
00
00
00
11
01
00
10
00
11
11
00
00
00
11
11
10
10
11
00
10
11
11
00
10
10
00
01
11
10
11
01
01
00
00
00
11
10
00
10
10
00
00
01
10
01
01
10
11
00
10
11
01
00
11
10
00
11
11
00
11
10
01
10
11
10
00
01
11
00
01
00
00
11
11
00
11
11
10
00
10
00
11
11
00
11
00
10
11
00
10
01
00
10
10
01
00
01
10
00
00
01
11
11
11
01
00
11
11
10
11
10
01
10
10
00
00
01
11
10
01
10
11
11
00
00
10
10
10
01
00
10
10
10
10
10
00
00
10
10
10
11
10
01
00
01
11
11
00
00
00
11
10
00
00
10
11
10
10
00
10
10
01
00
10
01
10
11
01
11
10
00
00
10
10
01
00
11
10
10
10
10
10
00
10
11
11
00
01
01
00
01
10
00
10
10
10
10
10
00
01
11
01
00
00
10
00
01
00
00
00
10
11
10
01
10
10
10
11
10
00
00
10
10
10
11
00
00
00
10
10
00
00
10
00
00
00
11
00
00
10
11
00
10
10
00
10
10
01
10
10
01
10
01
00
01
00
10
10
10
10
00
01
10
01
00
10
10
00
00
01
10
10
01
00
01
10
10
01
10
10
00
10
00
10
10
10
11
00
01
00
11
00
10
10
10
11
01
10
11
00
00
00
00
00
01
10
11
00
00
10
11
00
01
10
10
10
11
10
01
00
11
00
10
00
00
10
10
01
10
00
10
01
00
00
10
00
01
10
10
10
10
00
01
11
00
01
10
00
10
10
11
00
11
01
11
11
01
11
00
11
10
11
00
00
11
10
01
11
10
00
00
10
00
01
10
11
00
10
00
00
01
10
10
00
11
00
10
10
01
00
10
00
01
11
10
10
00
10
11
00
11
11
10
01
01
11
11
10
00
01
01
10
01
00
10
10
11
10
00
11
10
10
00
01
00
10
10
10
10
00
00
00
00
01
10
11
00
10
01
01
01
01
01
00
10
10
10
00
00
10
10
11
01
00
11
10
10
01
10
00
10
10
00
00
10
11
10
00
10
00
01
10
00
00
00
00
00
10
10
00
00
11
00
01
10
10
10
10
11
00
10
11
11
10
00
00
10
10
00
00
10
10
00
00
01
10
00
10
00
10
01
11
11
10
00
10
10
10
00
11
11
01
00
10
00
10
00
10
00
01
10
10
00
01
00
10
01
11
11
10
00
10
01
11
00
11
10
01
11
01
00
10
10
11
01
10
00
00
10
10
11
01
00
00
11
10
00
01
11
01
10
10
01
10
11
01
01
11
11
10
10
00
00
10
10
00
00
01
00
10
01
11
11
11
11
10
10
10
10
00
00
00
10
10
00
10
10
01
00
10
11
00
10
01
10
11
10
01
00
10
00
10
01
00
10
00
11
00
10
10
00
10
00
10
10
11
00
01
00
10
11
00
00
11
10
00
10
00
01
10
00
11
10
01
01
00
00
11
10
00
10
10
00
10
00
10
00
01
10
01
01
11
10
00
10
10
10
00
00
11
00
00
00
10
00
00
10
11
10
00
00
00
00
00
00
11
10
01
11
00
10
10
00
00
00
10
10
11
01
10
00
10
01
10
11
00
11
00
00
10
11
10
00
00
10
00
01
00
10
10
10
10
00
10
11
10
11
11
10
11
00
10
11
01
01
00
11
10
11
01
10
11
10
10
01
10
00
00
01
11
01
10
10
10
10
00
11
00
01
01
00
11
10
10
10
11
00
10
10
00
00
10
00
00
11
00
00
01
01
10
10
10
01
00
01
01
10
00
11
01
10
01
00
11
00
10
00
10
11
10
00
10
10
00
11
01
11
10
01
10
10
00
00
10
11
01
00
00
11
00
01
01
10
00
10
01
11
01
01
01
00
01
10
10
10
00
01
01
01
10
10
01
10
11
00
10
10
00
01
01
11
11
00
11
00
11
00
11
10
10
00
01
10
10
00
01
10
10
00
11
10
00
01
00
10
01
11
00
10
11
10
00
00
00
00
10
10
11
00
11
10
10
10
01
00
01
00
10
10
11
00
10
00
00
11
11
11
01
00
10
11
00
00
10
00
10
10
01
00
11
00
01
10
01
11
10
00
10
10
00
11
00
10
10
10
00
10
10
10
10
11
00
00
00
11
11
01
00
00
00
11
11
01
00
10
00
11
00
00
10
11
00
10
11
01
00
10
10
01
00
10
10
10
10
00
11
10
01
01
11
10
00
00
00
10
10
01
01
01
00
00
10
00
00
11
10
01
00
10
01
01
10
01
01
11
00
10
00
10
10
10
11
10
10
10
01
10
10
01
00
01
10
11
01
10
10
10
01
00
11
10
00
00
10
10
11
10
01
11
10
11
10
11
10
11
00
00
10
10
00
01
10
00
00
10
01
00
00
11
01
00
00
10
10
01
11
10
00
00
00
10
00
00
10
01
10
00
00
10
10
01
10
00
10
11
00
10
00
00
00
10
10
10
00
01
01
10
00
01
00
01
10
01
00
10
10
10
10
01
10
10
01
10
11
01
11
00
10
10
01
00
00
10
11
01
01
00
10
11
10
00
10
01
00
00
00
10
01
10
10
00
10
10
10
01
10
00
10
11
10
00
10
01
10
00
00
00
10
00
00
00
10
00
11
10
00
10
11
11
01
01
00
11
00
10
01
10
10
00
10
11
10
00
10
11
01
01
00
01
10
00
00
10
00
01
00
10
10
00
10
00
11
01
11
11
00
10
11
00
00
01
11
10
00
01
00
00
10
00
00
00
10
10
11
00
00
10
00
10
00
11
00
01
11
10
01
10
01
00
01
10
11
00
01
11
10
01
00
10
00
01
11
10
00
00
11
10
10
00
01
11
11
00
00
11
10
10
01
00
10
10
01
10
10
11
10
00
00
10
01
10
10
00
10
00
00
00
00
11
10
00
10
11
10
01
00
11
10
01
00
11
10
00
00
11
00
00
11
10
10
01
01
10
10
10
01
11
10
01
10
00
00
11
11
00
01
00
01
00
00
11
01
10
11
00
00
00
00
01
10
00
10
00
11
10
01
00
01
10
10
10
11
10
10
11
00
10
11
11
10
00
11
10
01
01
01
00
11
00
11
10
00
10
00
00
11
00
00
01
00
10
10
11
11
01
10
11
00
11
10
01
10
00
10
10
01
01
10
10
10
10
01
00
01
11
10
01
00
00
10
00
00
10
11
00
00
01
10
00
11
00
00
01
00
10
10
10
00
01
00
00
00
10
11
01
00
00
00
11
00
11
00
10
00
01
10
10
10
00
10
10
10
01
00
00
10
10
10
00
10
10
00
00
11
10
10
00
10
00
10
10
10
11
10
10
00
00
11
10
00
00
10
00
00
00
10
00
01
10
10
00
00
11
00
01
10
01
00
01
10
00
00
01
11
10
10
01
00
11
10
00
01
11
01
01
01
10
00
10
01
10
10
01
00
00
11
00
01
00
01
10
10
01
00
00
00
11
10
00
10
01
01
11
00
10
00
00
11
01
00
11
00
01
00
00
11
00
00
00
10
10
10
11
10
10
10
11
00
11
10
01
10
01
00
10
00
01
00
10
00
11
11
00
10
10
01
00
01
10
00
00
00
00
00
11
11
10
01
00
10
00
00
00
11
00
00
10
10
10
00
00
00
10
10
11
11
10
00
10
10
00
10
11
01
00
11
11
11
11
01
00
01
11
10
00
10
10
00
01
11
01
00
00
10
00
10
01
01
11
01
00
01
10
10
00
01
10
01
11
10
00
00
01
10
10
00
11
10
01
00
10
10
01
11
00
10
10
01
10
10
01
01
11
10
00
10
10
10
10
10
00
01
10
00
01
01
00
10
01
10
11
11
11
10
00
00
01
10
10
01
00
10
11
00
00
00
10
10
00
10
10
10
00
00
00
10
00
11
00
11
10
11
11
00
00
10
00
10
00
00
11
10
00
10
00
01
10
11
01
11
11
00
00
10
10
00
10
11
01
00
10
10
11
00
00
00
00
10
11
01
11
10
01
01
11
00
01
10
00
01
10
00
10
10
00
11
10
00
00
00
00
10
00
00
10
01
01
01
00
00
10
10
10
10
10
11
00
01
10
00
10
10
00
01
11
10
01
01
00
01
00
11
10
10
00
00
00
11
10
00
00
00
11
10
01
10
10
00
01
10
11
10
01
11
11
00
01
10
11
00
00
10
10
00
00
10
11
00
01
00
10
01
00
00
01
11
11
11
01
11
01
00
00
11
11
10
01
00
10
11
00
00
10
11
00
10
10
10
10
01
00
00
11
01
11
10
00
10
10
00
10
10
01
00
10
11
00
11
11
00
10
10
11
00
00
10
10
10
00
11
10
01
00
11
11
11
10
00
00
11
00
00
10
10
00
10
01
00
11
00
11
10
00
11
10
00
10
00
01
00
01
10
00
11
00
10
11
00
01
00
00
01
00
01
11
10
11
10
00
10
00
00
10
10
00
11
00
01
10
10
10
11
10
01
01
10
00
00
10
11
01
00
11
10
00
10
00
10
00
11
10
00
10
10
00
10
00
00
01
00
10
00
10
01
00
11
10
10
11
10
01
01
11
10
00
10
00
00
10
01
10
10
10
10
00
11
00
01
00
10
10
10
10
10
11
00
00
10
10
01
00
10
01
00
10
11
10
01
10
10
10
11
00
00
01
10
00
10
11
00
00
10
00
01
11
00
10
01
00
01
11
01
10
10
10
00
00
11
01
00
00
10
10
01
00
10
00
10
00
00
10
10
01
01
00
11
11
01
00
10
10
11
11
01
00
11
00
10
00
10
00
00
01
11
10
10
01
01
10
10
10
00
00
00
00
11
11
01
10
11
00
00
10
10
00
10
11
00
10
10
11
10
10
11
10
00
00
10
01
10
10
10
00
00
10
00
00
11
10
11
10
00
10
10
00
10
01
01
10
11
00
01
00
10
10
00
10
10
01
00
10
10
11
00
10
10
10
11
10
11
00
10
01
10
10
00
00
10
10
10
00
10
00
11
00
10
00
11
00
00
10
11
00
00
10
00
00
01
11
10
10
11
10
11
11
11
11
11
01
00
11
10
10
00
01
10
10
00
00
00
00
01
10
01
01
11
11
10
00
00
00
11
10
11
01
00
00
01
10
00
00
10
11
10
00
00
00
01
11
00
01
00
10
11
10
01
00
01
10
00
00
10
00
00
00
10
10
01
00
10
01
01
11
10
10
00
11
11
00
10
10
00
01
10
11
00
10
11
10
01
01
11
00
00
10
10
01
00
10
10
01
10
10
10
01
10
11
01
11
00
01
01
11
11
00
00
00
10
11
10
00
10
11
00
00
10
11
10
10
00
00
00
00
00
00
10
10
01
10
10
00
10
11
10
00
00
01
11
01
10
10
10
01
10
00
11
11
10
10
00
00
00
11
00
00
01
00
11
10
11
10
00
10
00
10
01
01
11
10
01
01
10
00
00
01
10
01
00
11
00
10
10
10
00
10
00
00
10
10
00
01
10
01
11
10
10
10
10
00
01
01
00
11
11
00
01
11
00
01
00
10
10
10
01
00
10
10
00
00
00
00
11
01
11
11
00
11
00
00
00
00
10
10
00
00
10
00
10
10
11
10
11
10
10
00
00
10
00
00
10
00
11
00
11
01
00
10
01
10
10
10
11
01
00
10
10
01
00
10
10
10
00
10
11
00
00
00
01
10
10
11
10
01
00
01
10
00
00
11
10
01
01
11
11
11
00
00
00
00
01
10
10
10
10
10
00
11
00
10
00
00
01
10
00
10
01
10
00
11
01
01
00
11
10
11
10
10
01
10
00
00
10
10
00
01
10
10
10
01
01
00
11
00
10
00
00
10
00
11
11
11
10
10
01
11
00
01
10
11
10
10
11
00
11
10
00
00
10
00
01
11
00
11
10
11
10
00
11
01
10
10
01
00
10
00
00
10
10
10
10
11
00
10
00
00
10
01
10
10
10
00
00
00
10
01
10
10
00
00
00
11
11
10
01
01
00
00
00
10
01
11
10
10
00
10
00
11
01
10
10
01
00
00
00
00
01
00
10
00
00
10
01
00
11
00
00
11
10
10
01
00
10
00
00
10
01
00
11
11
00
00
00
00
11
01
01
10
10
00
10
10
10
00
10
10
00
10
10
00
01
00
00
01
10
10
00
10
00
11
11
01
00
00
00
10
10
11
11
11
01
01
10
00
00
00
01
11
10
10
10
10
10
00
10
01
01
11
10
00
00
00
00
11
00
00
10
11
00
01
00
10
11
11
11
11
01
01
00
01
11
00
10
10
11
01
10
01
00
01
00
11
10
01
10
10
01
00
01
10
10
00
10
11
10
11
00
11
10
01
00
00
11
10
10
00
11
01
10
10
10
11
01
01
00
00
00
00
10
00
01
10
11
00
00
10
11
00
11
00
11
10
01
01
01
00
10
11
01
00
11
11
00
00
10
00
00
11
10
00
00
11
10
01
10
10
11
10
10
11
01
00
00
11
11
00
10
01
00
00
11
11
10
00
10
10
01
11
10
00
00
10
10
00
10
00
01
11
10
10
11
01
11
01
00
10
11
10
11
00
01
10
10
10
00
10
11
01
01
10
10
00
10
00
01
10
10
00
00
10
00
10
00
00
01
00
01
00
11
01
00
00
10
00
00
00
10
10
00
00
01
00
10
11
10
00
10
00
10
10
10
00
00
10
10
01
00
00
10
10
10
01
11
10
11
01
01
10
11
00
10
11
11
00
01
11
10
11
00
00
10
10
00
10
01
01
10
10
00
01
10
10
00
00
10
10
10
10
11
00
11
11
11
00
11
10
00
11
10
00
00
10
00
01
10
10
00
01
00
01
11
00
10
00
01
10
01
01
10
00
01
11
10
00
00
10
11
11
10
10
10
00
00
10
00
10
11
10
11
00
11
00
01
00
01
00
10
10
01
10
11
00
01
10
00
00
00
01
10
11
00
10
01
01
11
11
10
11
01
01
01
00
10
01
00
10
01
00
00
10
11
01
00
01
10
11
10
01
11
00
10
10
11
00
00
10
00
01
10
00
10
10
00
10
01
00
00
11
00
10
00
10
11
10
10
00
00
10
11
00
01
11
11
01
01
00
01
01
11
00
10
11
01
01
10
10
10
00
10
00
01
10
10
01
10
00
01
00
00
00
11
00
01
11
11
01
01
00
10
11
00
01
00
10
10
00
00
10
10
10
11
10
00
11
11
01
10
10
10
00
00
10
11
10
10
00
00
00
00
10
01
00
10
10
00
10
00
10
10
01
10
11
00
10
01
10
10
01
10
00
00
11
00
00
10
11
00
01
01
10
01
10
10
10
00
01
10
01
10
10
00
00
00
00
10
10
10
00
00
01
00
01
11
00
01
10
10
01
01
00
11
00
00
00
01
10
10
10
10
10
00
10
10
10
01
10
11
10
10
00
01
11
10
10
00
01
10
00
01
00
10
11
10
00
10
01
11
00
01
10
00
00
01
10
00
10
11
10
11
00
11
11
10
10
00
10
10
01
01
10
11
10
00
10
01
00
11
11
11
10
00
00
10
00
00
10
11
10
10
10
00
01
01
10
10
10
10
10
10
10
00
10
00
00
00
11
00
00
10
11
10
01
00
11
01
01
00
11
10
00
11
00
10
10
01
01
10
10
10
00
01
00
11
01
00
11
11
01
00
11
10
01
00
10
10
00
11
10
10
00
10
10
01
01
11
00
00
10
00
00
00
10
10
10
11
10
00
00
01
10
11
10
00
10
11
00
00
01
00
00
11
10
00
01
11
10
01
10
10
00
10
10
00
00
10
10
00
10
01
11
01
10
11
01
00
00
00
10
10
10
01
10
10
10
01
10
10
10
00
00
11
00
11
10
01
00
00
00
00
10
10
00
00
00
10
10
10
10
10
00
00
10
00
10
10
01
10
11
10
01
11
01
10
00
00
00
10
11
11
01
00
11
10
11
10
10
00
00
00
11
10
10
10
00
01
10
00
00
10
01
00
10
10
01
01
00
00
01
11
10
00
11
10
11
00
00
10
10
11
00
00
10
10
00
10
00
00
11
11
00
00
00
10
00
11
11
11
10
00
11
00
10
10
00
11
10
10
11
00
01
00
10
10
00
00
00
01
10
10
10
11
00
01
10
11
00
11
10
00
01
11
01
10
10
00
11
00
10
01
01
11
01
11
00
01
10
10
10
00
11
00
01
10
10
00
10
10
11
10
01
01
10
00
01
11
10
10
01
01
00
10
11
00
00
10
10
00
00
00
11
01
10
10
10
10
00
10
01
10
00
00
10
01
00
01
10
11
10
10
10
00
00
00
00
10
10
01
11
11
00
11
00
01
10
11
01
01
01
11
11
00
11
00
10
10
00
00
00
00
00
10
10
00
00
10
10
10
10
01
10
10
10
01
10
10
10
01
00
10
10
10
00
11
11
01
10
10
00
00
01
11
10
00
00
10
10
10
01
00
01
00
00
10
00
00
10
00
10
01
10
11
00
10
00
11
10
00
10
11
10
10
10
11
01
11
01
01
10
01
10
11
00
10
10
00
10
10
01
11
01
00
01
01
00
11
00
11
01
01
10
01
01
10
10
00
10
10
11
11
00
11
11
11
00
11
01
00
10
10
01
00
10
10
00
11
01
00
00
11
10
01
01
10
10
00
00
00
10
10
00
00
00
00
10
11
11
11
11
00
00
10
00
10
11
00
00
10
00
00
10
10
00
10
10
00
10
00
00
10
11
01
11
10
00
00
00
11
00
10
10
10
00
10
11
00
00
00
10
00
11
01
10
11
00
10
11
10
00
00
01
00
10
10
11
10
10
00
11
00
01
01
00
00
10
00
10
11
10
11
00
01
00
00
10
10
00
10
10
00
11
01
00
10
10
10
00
10
10
01
00
10
00
10
00
00
10
10
10
00
10
10
00
00
11
01
00
10
01
00
11
00
00
10
11
00
10
00
00
10
10
01
11
10
01
10
11
00
10
01
01
11
10
00
00
10
10
10
01
11
00
01
00
10
10
00
00
11
11
01
11
00
11
10
01
10
01
00
11
10
01
00
10
10
00
00
10
01
00
10
10
10
11
01
10
11
01
00
11
10
00
00
10
11
11
10
10
00
01
10
10
00
00
01
00
11
10
10
01
01
10
11
10
00
01
10
00
11
01
10
11
01
00
00
01
01
10
10
10
10
00
10
10
01
00
11
10
11
00
10
01
01
11
11
00
10
11
11
00
01
00
10
11
11
00
10
10
01
10
01
10
10
11
00
10
11
10
10
11
11
00
00
11
00
00
11
10
11
10
00
00
11
00
00
11
00
10
01
10
00
01
10
01
11
11
10
10
01
00
10
10
00
01
11
00
01
10
10
00
01
10
01
11
11
01
00
10
11
10
00
01
00
10
01
10
00
10
11
10
10
00
00
10
00
01
11
01
00
01
01
00
11
00
00
11
11
01
10
11
00
01
01
01
00
11
11
10
10
10
01
11
10
00
11
10
10
01
00
10
00
11
11
01
01
10
01
01
11
11
00
01
10
00
00
10
10
00
00
00
00
11
10
10
01
10
00
10
01
10
11
00
10
10
00
00
00
00
10
10
01
10
11
00
11
00
11
10
00
10
10
00
10
11
00
10
10
01
01
01
11
10
10
10
00
01
01
01
10
11
10
10
00
10
00
00
10
00
00
11
01
00
10
11
00
10
00
11
01
01
10
10
10
01
11
01
00
10
11
10
00
00
00
10
10
00
11
10
01
00
10
10
10
01
00
10
10
00
00
11
10
10
10
01
01
10
01
00
10
00
00
01
01
11
11
10
10
11
01
01
11
10
00
00
10
11
00
10
10
01
11
01
10
10
10
10
01
01
01
11
11
01
11
00
10
10
01
01
00
10
00
00
10
10
11
01
00
11
00
01
10
00
01
11
10
00
10
10
00
10
00
00
11
11
11
10
00
10
10
10
00
00
10
10
00
10
11
11
11
11
11
00
01
00
00
10
10
00
10
01
00
10
10
01
10
10
10
00
10
10
10
11
10
00
10
01
10
00
00
10
10
00
01
00
10
10
10
11
00
00
11
10
10
11
00
01
10
00
00
00
00
10
00
00
01
10
01
10
01
01
10
00
10
11
00
10
11
00
00
00
10
00
00
10
11
11
11
01
00
00
11
11
11
10
00
00
11
10
00
00
10
10
00
10
10
00
10
00
00
10
10
00
00
01
01
11
00
10
01
10
10
00
01
10
01
11
10
00
10
10
10
10
00
11
01
11
11
00
10
01
01
00
10
00
11
00
10
10
11
00
00
10
00
11
01
00
01
01
00
10
00
10
11
10
00
10
11
01
01
00
11
10
00
01
10
10
11
10
00
10
11
10
00
10
01
10
01
11
11
00
00
11
10
10
11
10
01
01
11
01
00
10
00
01
00
11
10
01
01
00
00
10
01
00
11
10
00
10
10
01
00
00
10
11
00
00
10
00
10
11
10
11
11
00
01
00
01
00
11
10
00
00
10
11
11
11
00
00
10
00
10
01
00
11
10
00
11
10
00
11
00
01
00
00
11
00
00
10
11
00
10
00
00
00
00
11
11
10
10
10
10
01
01
00
01
00
11
10
11
01
00
01
11
10
00
01
10
10
10
00
10
10
01
01
00
10
00
10
01
00
01
01
00
11
00
11
10
10
10
00
11
00
00
10
00
10
01
11
00
11
10
10
10
00
10
00
11
10
10
01
01
10
10
10
00
00
10
10
00
00
10
10
11
10
00
01
10
11
01
00
11
01
10
00
10
10
11
10
11
00
10
10
11
10
00
00
10
10
10
00
00
11
01
10
10
10
10
10
00
01
00
10
10
10
10
10
00
00
01
00
00
00
10
00
11
11
11
10
00
10
11
10
00
10
01
00
11
00
00
00
00
11
10
00
01
00
10
11
01
11
00
10
00
00
00
00
10
10
10
01
10
11
00
11
11
10
01
10
00
01
10
11
01
00
11
00
01
00
00
10
10
10
00
01
10
00
11
01
10
00
10
11
00
10
11
00
01
01
10
11
10
10
00
10
10
00
10
10
10
00
10
10
10
10
00
01
11
10
00
00
00
10
10
00
00
01
11
11
10
10
11
10
10
00
11
10
00
11
00
00
00
00
01
10
01
01
11
00
10
11
11
00
00
10
11
10
00
10
00
00
00
10
10
00
11
10
01
10
11
01
10
01
01
00
11
00
01
00
01
11
00
00
11
01
01
10
10
10
10
00
10
01
00
00
10
01
11
00
11
00
10
11
01
11
00
00
11
00
00
00
10
10
11
11
00
11
10
00
11
10
00
10
01
00
10
10
00
00
00
10
10
10
10
11
00
10
11
00
00
10
10
11
00
10
11
00
00
00
00
10
00
10
11
00
00
10
11
10
00
00
10
01
00
00
00
10
10
10
10
00
11
10
00
00
10
00
10
11
10
10
00
10
01
10
11
00
11
00
10
00
00
10
11
10
00
10
10
10
11
01
10
00
10
00
01
10
00
01
11
10
00
11
11
00
11
01
00
11
11
11
01
10
11
10
00
01
10
10
00
01
10
11
10
10
10
00
00
10
11
00
11
01
00
01
10
11
00
01
10
10
00
01
01
11
00
00
01
11
01
00
10
10
00
00
00
01
10
00
10
11
10
01
11
10
00
10
10
00
10
10
10
00
11
01
01
01
11
00
10
01
00
10
10
00
01
10
00
10
10
10
00
11
01
10
10
00
00
11
11
10
01
01
01
10
01
11
10
01
10
10
00
00
10
11
00
00
11
00
11
00
10
10
01
11
00
10
10
01
10
10
00
00
10
11
11
10
11
00
01
00
01
00
10
11
01
01
11
01
10
11
01
11
01
00
10
10
01
00
11
10
01
00
10
10
10
01
00
11
10
11
01
11
10
00
01
10
10
00
00
11
00
10
00
10
10
10
10
00
10
11
00
00
00
00
10
00
11
10
10
11
10
10
00
00
11
00
10
10
00
10
10
00
00
11
11
10
01
10
00
10
10
00
01
11
11
10
11
00
10
01
00
11
11
00
01
01
10
10
01
10
01
00
00
00
10
01
01
00
11
10
11
10
00
00
01
01
10
00
00
00
10
10
00
11
10
10
00
10
10
00
11
01
11
00
11
10
00
10
11
10
00
00
11
10
01
01
00
10
00
11
10
11
01
00
00
01
00
10
00
01
10
00
10
11
10
01
00
01
10
10
10
00
00
11
10
11
00
01
01
00
00
10
00
00
01
00
10
01
00
10
10
10
00
11
11
00
01
10
10
10
01
11
01
00
10
11
11
00
00
10
00
11
00
01
10
00
10
00
10
11
11
10
10
10
00
00
00
00
01
01
10
10
01
00
10
10
00
11
10
00
10
00
00
10
11
01
00
11
00
10
00
00
10
10
00
00
10
00
10
10
00
00
00
10
10
10
10
10
10
01
00
11
11
01
01
00
11
00
01
10
00
10
11
10
01
10
10
01
00
01
00
11
11
10
00
00
10
10
00
10
00
00
11
00
11
11
00
01
01
00
10
10
00
10
00
10
10
10
00
10
01
00
00
10
10
10
00
10
01
00
10
11
10
10
00
01
10
00
00
00
10
00
10
11
10
11
10
00
00
11
10
00
11
10
00
00
00
10
10
11
10
10
11
00
01
10
00
00
11
00
10
00
00
10
10
01
01
00
01
00
01
11
00
00
00
00
10
00
01
10
10
11
11
10
00
11
00
10
10
10
10
00
00
01
00
00
01
10
00
00
10
10
10
11
00
10
10
01
10
11
10
00
00
10
00
10
00
00
10
00
01
11
00
10
01
01
00
10
11
00
11
00
11
00
00
00
10
10
01
00
01
01
11
01
00
11
10
00
00
10
10
10
10
00
10
10
01
11
10
00
10
10
00
00
01
10
00
10
01
01
00
11
11
10
10
01
00
00
10
11
10
01
10
10
01
00
01
11
11
00
00
00
11
11
01
10
00
00
00
01
01
01
10
11
01
10
11
00
00
11
10
10
00
00
10
10
10
00
10
01
00
00
01
11
11
10
00
01
00
11
00
00
00
00
00
10
01
00
00
10
10
01
10
01
10
00
01
01
11
10
10
00
10
00
00
00
10
10
00
10
00
00
00
00
11
10
00
10
00
01
10
10
01
00
11
10
10
10
01
00
00
10
11
11
10
00
01
11
00
11
10
00
01
11
10
00
00
11
10
10
01
00
10
01
11
10
00
01
00
00
00
00
11
01
01
00
10
00
11
00
10
00
10
00
11
10
00
10
00
11
10
11
10
00
00
10
01
01
00
11
00
00
11
10
11
00
00
01
00
00
00
00
11
00
00
00
10
00
10
01
11
11
01
10
01
00
11
11
01
00
10
00
00
00
10
10
10
11
00
01
11
11
10
01
00
10
10
00
00
11
00
10
10
00
10
10
10
00
10
00
10
11
00
10
00
01
11
01
10
00
10
01
10
11
10
00
01
00
10
00
01
00
11
11
00
00
00
00
10
10
00
10
10
00
10
00
00
01
11
11
10
00
10
00
10
11
10
01
11
00
10
10
00
10
10
01
10
00
00
11
10
00
01
10
10
10
10
00
00
00
10
10
10
00
00
01
10
00
10
11
10
11
00
00
00
10
10
10
10
00
01
01
00
10
01
01
01
00
01
11
11
00
00
10
10
01
00
00
10
10
00
10
00
00
00
00
00
10
00
10
00
01
01
10
10
01
11
10
10
10
10
10
01
10
10
00
00
11
10
01
00
01
10
10
10
01
11
10
01
10
10
11
00
01
11
10
00
01
01
00
00
00
00
00
10
11
11
00
01
00
00
11
00
10
01
00
10
10
10
01
00
10
01
01
10
01
10
00
00
00
00
10
11
00
00
00
11
10
11
10
00
11
10
00
01
00
11
00
10
10
10
01
11
10
00
10
10
00
11
10
01
11
00
00
00
10
10
11
10
00
01
00
10
11
10
00
10
10
01
10
00
11
10
00
11
01
00
10
10
10
10
00
00
01
10
00
10
11
11
00
10
00
01
11
10
10
00
11
11
10
10
00
10
00
00
10
00
11
00
01
00
00
01
00
11
00
01
10
00
00
00
00
11
10
11
11
00
10
10
01
11
00
11
11
10
11
01
00
10
10
00
00
11
00
10
10
01
10
00
10
10
10
11
00
00
10
00
00
10
01
10
10
00
01
10
10
10
00
10
10
01
01
01
10
01
00
11
10
00
11
11
11
10
10
00
10
01
11
10
01
11
10
10
10
10
00
01
10
00
00
10
00
00
00
00
01
10
01
10
11
00
01
00
01
11
10
11
00
10
10
11
01
00
10
11
11
11
01
10
10
10
11
00
01
10
01
00
10
00
10
00
00
00
01
00
11
10
10
00
00
10
10
00
10
00
00
01
10
00
11
10
11
10
00
11
11
10
10
00
01
00
00
10
00
00
11
11
01
00
10
10
10
01
00
01
11
10
01
01
00
11
10
00
10
11
01
10
11
00
10
00
01
00
10
10
00
01
00
11
00
00
10
00
10
10
10
00
00
00
11
00
11
11
10
10
01
11
10
10
00
00
10
11
00
10
10
01
00
00
11
00
10
00
11
10
00
10
00
11
01
11
11
00
00
11
00
10
10
01
10
11
00
01
01
01
00
00
01
11
10
00
11
00
00
01
10
01
00
11
00
00
10
00
00
11
10
11
11
10
00
10
11
10
00
00
10
11
01
01
00
10
10
10
11
00
01
10
10
01
10
10
10
00
00
00
00
10
00
10
00
00
10
00
10
11
11
01
10
11
01
00
00
00
11
01
00
11
00
00
10
00
00
10
00
01
10
11
10
10
01
10
10
00
11
10
11
00
00
00
11
10
11
10
01
10
11
01
10
00
00
00
10
01
01
00
01
01
10
10
11
10
10
01
00
01
01
00
10
01
01
01
10
11
11
00
00
11
10
10
11
00
11
01
00
01
11
11
01
10
10
00
11
10
00
11
11
11
11
01
10
10
10
00
00
10
00
00
11
11
00
10
10
01
00
10
00
00
10
01
00
10
00
10
10
11
00
10
10
01
10
01
00
10
10
01
00
11
11
00
10
10
00
10
10
11
01
01
10
00
10
01
11
01
10
10
10
01
00
11
00
00
10
10
10
10
10
00
00
00
01
00
10
11
00
00
00
10
00
10
00
10
11
00
00
10
10
11
00
10
10
00
10
00
11
10
00
00
10
10
01
00
10
11
00
00
10
00
00
10
10
01
10
00
00
10
01
11
11
01
00
11
01
00
11
10
00
10
10
01
10
10
00
01
11
01
00
10
10
00
00
01
10
10
00
00
00
00
10
11
10
11
00
00
00
00
00
11
00
10
11
01
00
11
10
01
10
10
10
01
10
11
01
10
10
00
00
01
11
11
10
10
10
11
10
01
10
00
01
11
10
01
00
10
01
10
01
00
10
10
01
10
11
00
00
11
10
11
11
10
00
10
10
10
10
01
11
11
00
01
00
00
01
10
10
00
01
10
10
01
10
10
00
01
00
10
01
00
00
11
01
11
00
00
10
10
11
10
00
00
10
00
10
11
00
11
00
01
10
11
10
00
00
11
10
00
10
11
00
10
10
00
11
11
01
00
10
11
11
00
01
10
00
00
11
01
00
11
10
10
00
00
10
01
11
11
01
01
00
00
00
01
11
11
01
10
01
00
00
00
10
10
00
10
10
00
11
01
10
00
00
10
11
10
00
11
00
01
11
10
10
00
10
00
10
10
00
10
11
01
00
10
10
01
00
00
00
10
10
00
10
00
01
10
10
10
01
00
00
00
10
00
00
00
11
10
00
10
01
00
10
00
01
00
00
01
11
10
00
00
10
11
10
01
00
10
11
00
10
11
00
01
00
10
00
11
00
01
10
10
01
01
11
01
10
11
10
01
00
10
11
00
10
10
11
00
00
00
00
10
11
11
00
11
11
11
11
11
10
11
00
01
01
00
10
10
00
00
11
11
10
10
00
10
00
01
11
11
00
00
00
10
00
00
01
11
10
01
00
01
11
11
11
10
11
01
10
10
10
01
01
01
00
10
10
01
10
00
01
01
10
11
00
01
11
10
01
01
10
10
00
01
10
00
00
10
11
00
01
10
10
11
11
10
01
11
10
00
10
10
00
00
10
01
00
11
10
10
01
10
01
11
00
00
00
10
10
01
00
00
10
10
01
01
10
10
10
10
10
11
00
11
11
11
01
00
10
11
01
00
00
10
11
10
11
00
01
11
11
10
01
00
10
11
01
01
10
01
01
01
10
01
00
10
01
00
11
00
01
11
01
10
11
10
00
10
11
00
00
00
00
10
10
10
11
10
00
00
01
10
00
00
11
10
00
01
00
10
10
10
01
00
00
10
00
10
00
10
00
00
10
00
11
11
00
10
10
10
01
10
01
01
11
11
10
01
10
10
00
10
10
00
11
10
10
00
00
10
10
00
00
00
00
10
00
11
10
01
00
00
00
11
10
01
01
00
00
10
00
00
11
11
01
11
10
10
00
10
10
00
00
10
10
00
00
01
00
00
11
10
11
10
00
10
00
01
01
10
10
10
00
10
10
00
10
01
00
00
11
10
11
01
11
00
00
10
11
10
00
11
00
00
10
10
10
00
00
10
10
00
00
00
00
11
10
00
00
01
11
10
01
10
00
01
00
00
00
00
10
00
01
11
00
00
01
10
10
10
11
00
00
00
01
10
11
01
00
01
00
01
11
00
00
00
11
10
11
01
10
11
01
00
10
00
00
10
11
10
01
00
11
10
01
00
10
00
01
10
11
01
01
00
10
00
01
00
10
10
00
00
00
00
10
00
00
10
00
00
00
00
10
00
00
10
10
00
11
10
00
00
00
00
10
11
11
10
10
00
10
00
01
10
11
00
11
10
00
10
10
01
01
11
10
00
00
11
11
00
10
10
00
10
01
11
00
00
10
11
00
00
11
01
10
00
11
10
00
11
00
00
00
11
00
10
00
01
01
10
10
11
10
00
10
00
00
10
10
00
00
00
00
01
11
10
11
00
00
00
00
10
10
01
01
00
11
01
00
10
01
00
10
00
00
00
01
10
10
00
11
10
00
10
00
10
00
01
10
10
10
00
00
01
00
11
00
00
10
11
10
10
00
10
10
11
00
00
10
10
00
00
10
11
00
10
10
01
00
00
10
00
11
10
11
00
10
10
01
10
01
00
10
00
01
00
11
10
01
01
10
00
01
01
10
10
00
10
00
11
10
00
00
11
00
10
10
00
11
10
11
00
00
00
01
01
11
01
00
01
00
11
10
01
01
11
10
00
00
10
10
01
01
10
00
01
11
01
10
11
11
10
00
00
00
11
00
11
11
00
10
00
01
01
11
10
00
00
10
10
01
00
01
11
11
10
00
01
10
00
10
10
00
10
10
10
00
00
10
00
11
10
11
10
00
01
11
11
01
10
10
00
00
10
11
10
00
00
10
10
00
11
10
10
10
10
11
10
11
10
10
10
00
10
10
00
10
11
00
00
11
10
11
10
10
11
10
10
10
00
00
00
00
00
00
10
10
10
10
10
10
00
00
10
10
11
10
01
10
01
10
10
11
00
10
10
00
00
01
00
10
01
10
00
10
10
01
10
10
01
00
10
01
00
00
00
10
10
10
11
01
00
10
00
01
10
10
10
01
00
11
00
10
00
00
10
11
10
01
00
00
11
00
00
10
10
01
00
10
11
11
10
10
00
01
11
00
00
10
00
11
11
10
11
10
01
01
11
10
10
00
00
11
10
00
01
00
00
10
11
10
10
10
00
00
10
00
00
00
00
11
00
01
11
11
10
10
11
00
10
10
00
10
11
00
10
01
00
00
10
10
11
10
01
10
10
11
10
11
01
00
10
00
00
10
00
00
00
10
10
00
00
10
11
00
11
00
00
00
10
10
00
00
11
00
01
10
00
10
00
01
10
10
11
00
10
10
11
01
01
00
00
10
00
01
10
11
00
01
00
01
10
01
11
11
10
00
00
10
11
00
00
10
10
00
00
10
10
00
10
00
10
00
01
11
00
01
10
11
10
00
01
11
10
00
10
10
00
00
11
01
01
10
11
11
01
11
00
10
11
00
00
01
11
10
01
00
01
00
11
11
10
11
00
10
01
10
00
10
10
00
00
00
11
11
01
11
01
00
11
10
10
00
11
10
00
11
01
11
10
00
00
10
10
10
10
00
10
10
00
00
01
00
10
11
00
00
10
01
10
10
00
10
01
01
11
01
00
01
11
00
10
10
00
00
00
10
10
00
00
01
00
01
00
00
00
10
10
01
11
11
11
01
10
10
00
00
11
00
00
10
00
11
10
01
00
00
11
00
00
10
10
00
00
00
00
10
00
00
00
00
11
00
11
10
01
11
11
00
11
00
01
01
00
00
11
10
00
00
10
11
10
01
00
00
10
00
00
11
00
01
10
11
00
10
11
10
10
00
10
11
10
10
00
00
10
10
10
00
11
10
00
01
01
01
10
11
00
00
00
00
10
11
10
01
00
00
10
00
00
01
11
10
00
10
10
01
00
11
01
10
00
10
10
10
10
01
00
10
00
10
00
00
10
00
10
10
00
10
10
01
01
00
11
10
00
10
00
00
10
00
00
00
01
10
11
11
00
01
00
10
11
10
01
10
11
01
00
01
01
00
01
10
11
01
00
10
11
10
00
01
10
10
11
00
00
11
00
11
10
10
10
00
10
00
00
11
10
10
00
10
11
00
11
10
10
11
10
10
10
10
00
01
00
10
00
10
01
10
00
10
11
00
01
00
10
10
00
10
10
01
01
00
10
00
00
10
10
10
01
00
00
11
11
11
00
10
10
00
00
10
00
11
10
00
10
01
10
10
00
00
10
10
10
10
10
01
00
00
10
10
11
11
01
00
10
00
10
10
00
10
10
00
00
10
10
11
10
01
00
01
10
11
01
01
10
00
00
00
00
11
10
00
10
00
00
00
01
00
10
10
01
10
00
11
10
10
00
00
11
10
11
00
10
00
10
10
00
10
01
10
10
00
10
11
00
00
10
01
10
01
10
00
00
10
00
01
11
11
10
11
11
10
11
10
01
00
10
01
01
11
11
10
00
10
01
11
11
00
01
00
01
10
01
00
10
01
01
00
10
11
00
00
00
01
10
11
00
11
10
10
00
01
11
11
11
00
10
01
01
00
10
10
11
10
01
00
11
00
10
10
10
10
00
10
10
10
00
10
01
10
10
01
11
10
10
11
11
10
00
00
10
00
00
10
00
01
10
10
11
10
10
11
11
01
01
10
10
11
00
01
00
01
10
10
00
00
11
11
11
00
10
00
10
01
10
01
00
10
10
00
01
11
10
00
10
00
11
00
11
10
00
00
11
00
00
01
10
11
10
10
01
00
01
11
11
01
00
10
10
10
11
00
00
10
10
00
00
11
01
10
11
11
00
10
11
10
10
01
00
00
10
11
00
00
10
00
10
10
01
10
11
00
11
01
10
00
10
10
10
10
00
00
10
11
00
10
10
11
00
01
00
00
00
01
11
10
10
01
00
10
11
00
01
10
10
01
00
01
01
10
11
00
00
00
00
11
11
11
01
00
00
11
00
11
00
00
10
00
10
10
01
00
00
10
00
10
11
00
00
10
10
00
10
10
10
01
00
11
11
00
01
10
00
11
00
11
01
01
11
10
00
00
10
10
11
01
00
01
10
10
01
10
10
00
11
11
10
00
00
10
00
00
00
11
10
11
00
10
01
00
10
11
00
01
11
10
10
10
10
10
10
01
01
00
01
00
10
00
11
10
11
01
01
11
01
00
00
10
11
11
00
01
10
11
00
11
10
10
00
00
11
10
00
00
10
11
00
00
00
10
10
00
00
00
10
10
10
10
01
10
10
00
01
10
11
10
01
01
00
00
11
00
01
10
01
10
10
00
10
10
00
00
11
10
10
10
01
10
10
00
10
00
00
01
00
01
10
10
10
10
00
00
10
11
00
10
10
00
10
11
00
10
11
10
00
10
10
00
10
10
10
10
01
01
10
11
00
00
01
00
00
10
00
00
10
00
10
00
00
11
10
11
10
01
10
10
11
00
11
10
10
00
10
10
00
10
01
11
10
11
11
00
00
10
01
01
00
10
01
00
10
10
10
01
00
00
10
10
01
10
00
10
00
00
00
01
11
01
00
11
00
01
10
10
00
00
01
10
11
00
00
10
00
10
01
00
10
00
10
01
10
10
00
00
00
00
00
11
00
01
10
10
01
10
10
10
00
00
11
01
10
00
01
10
10
00
00
11
11
01
10
11
10
00
10
01
00
00
01
11
01
00
01
10
00
10
10
10
01
00
10
01
10
10
10
00
00
10
00
11
00
00
10
10
00
00
10
11
01
00
11
01
10
11
10
00
00
10
11
10
00
10
10
00
01
00
10
10
00
01
01
10
00
00
10
11
00
11
01
00
00
01
00
11
10
00
11
10
00
00
10
10
01
10
10
01
10
10
11
00
00
01
10
10
11
00
10
00
11
01
01
10
00
10
10
10
10
00
01
00
11
10
01
11
11
01
10
00
01
11
10
00
11
10
10
00
00
10
00
00
10
01
00
01
00
00
00
00
01
00
00
10
00
00
10
00
00
10
11
11
10
11
11
01
00
10
00
10
10
00
01
10
11
10
01
10
11
00
10
10
00
00
10
10
01
01
10
11
01
11
11
00
01
00
10
10
00
01
10
10
10
11
00
11
01
00
10
00
00
10
00
00
00
10
11
00
01
10
00
10
00
10
10
10
00
00
10
00
11
10
01
00
10
10
11
00
00
00
10
01
11
10
01
00
10
00
11
00
11
10
01
01
10
10
10
01
01
10
00
01
10
10
00
10
10
00
01
11
10
00
10
00
01
11
10
11
10
00
01
01
10
00
11
11
01
11
10
11
01
11
10
00
00
11
01
10
10
01
11
11
00
11
00
10
11
00
10
00
11
10
10
00
10
00
00
00
10
01
00
01
00
00
10
10
10
10
10
00
00
01
11
01
01
00
01
10
11
00
10
10
00
10
11
01
00
10
10
01
01
00
00
10
10
01
10
10
11
00
00
01
10
01
00
01
10
01
01
01
10
10
00
00
10
11
10
11
10
01
10
01
10
11
00
00
10
00
00
10
10
01
00
11
10
00
00
10
01
11
10
00
10
00
00
11
11
11
11
00
10
01
00
00
00
10
11
00
01
00
01
11
11
10
11
10
00
00
00
10
10
01
10
10
01
00
11
00
00
00
10
10
10
10
00
01
01
11
01
10
10
10
00
01
11
11
01
11
01
11
00
00
01
10
11
10
01
01
00
10
00
01
10
11
00
00
00
11
10
10
01
00
00
10
10
01
10
01
10
10
00
00
10
00
00
10
00
10
00
00
11
11
00
00
10
11
00
10
10
01
00
11
10
10
10
01
11
10
11
00
10
10
01
00
01
11
10
10
00
00
10
10
01
00
10
11
11
00
10
10
10
00
01
00
00
10
01
10
10
01
01
00
00
00
10
00
00
10
00
10
01
10
10
00
10
01
01
00
10
11
00
00
01
00
11
10
10
11
00
00
10
11
00
10
00
01
10
10
10
01
01
01
10
10
10
01
10
11
10
00
01
10
10
01
00
10
00
01
01
11
10
10
00
11
00
10
10
00
01
11
10
00
11
11
11
10
00
01
00
00
10
11
00
10
11
01
00
11
11
10
11
10
10
00
00
10
11
01
11
10
00
10
10
00
00
00
10
11
00
10
10
00
11
10
00
00
10
10
00
11
00
01
01
10
01
11
01
11
11
01
10
10
01
01
10
00
00
01
00
10
10
00
01
10
00
01
00
10
01
10
10
10
01
01
11
10
00
00
10
10
00
00
11
10
01
00
10
01
10
10
10
01
00
10
11
10
01
00
01
10
10
00
10
01
00
00
10
11
10
00
10
11
00
11
00
11
00
00
01
10
01
10
01
00
00
11
10
00
00
00
11
00
10
10
01
00
11
10
00
00
11
11
11
00
01
10
11
01
10
10
00
11
11
00
00
00
11
00
11
10
00
00
10
10
00
10
10
10
00
00
00
00
00
00
00
00
10
00
10
11
10
01
01
11
11
00
00
00
10
10
01
00
11
01
10
11
11
01
00
10
10
01
00
11
10
00
00
00
10
01
11
11
10
00
01
10
10
01
10
10
10
00
00
10
11
00
11
00
11
11
00
01
10
10
00
11
10
10
10
01
01
10
10
10
10
01
01
00
10
10
00
10
00
00
00
10
00
00
01
11
11
00
11
00
10
10
01
00
10
10
00
10
00
00
10
00
10
10
10
10
00
10
01
01
01
11
10
11
10
11
00
01
11
10
00
01
01
11
10
00
10
11
11
11
01
00
10
10
00
00
01
11
00
11
10
11
00
00
10
11
10
00
10
10
01
10
10
00
00
10
10
10
11
00
00
01
00
01
00
00
00
00
10
00
10
10
01
10
11
00
10
00
11
11
01
01
10
11
10
11
00
01
11
11
10
11
00
00
10
00
11
10
00
01
11
11
01
11
10
00
00
10
01
00
00
11
10
01
11
01
10
10
00
10
10
01
10
10
10
00
10
01
00
10
00
10
01
00
01
00
10
10
11
00
00
10
10
10
00
00
01
11
01
10
00
10
10
01
11
00
00
10
01
00
11
00
11
10
11
10
00
01
10
00
00
00
10
00
00
10
10
00
11
10
01
00
10
00
10
10
01
00
10
00
01
10
11
10
00
00
11
10
10
00
00
11
11
11
00
00
10
10
11
01
01
10
10
00
00
11
01
11
10
00
00
10
00
00
00
10
10
00
00
00
10
00
10
10
01
10
00
00
10
10
00
11
10
00
11
10
10
00
01
10
00
00
10
00
00
00
10
00
10
11
01
10
01
00
10
10
10
11
00
00
10
01
00
00
01
00
01
00
00
10
10
00
00
11
11
10
01
00
11
00
00
10
00
01
10
10
00
00
11
10
01
00
10
10
10
01
01
10
11
10
10
01
10
10
10
01
00
10
11
00
11
11
10
11
11
01
00
00
11
11
00
01
10
11
00
00
10
11
11
00
10
11
00
10
10
01
00
10
01
01
00
10
10
10
00
10
10
00
01
10
00
11
10
11
00
10
10
01
10
11
00
00
00
00
10
01
11
10
10
10
00
10
00
10
11
00
10
01
11
10
00
11
10
01
01
10
10
00
00
01
00
00
00
10
10
10
10
10
00
10
11
00
10
00
10
11
10
10
00
11
11
11
10
01
00
10
10
01
11
10
00
11
10
10
10
01
00
00
00
11
00
01
10
10
00
10
00
10
10
01
00
00
01
11
11
11
00
00
00
00
11
11
10
01
01
10
10
11
00
11
11
11
11
10
11
00
01
10
00
00
01
00
10
11
00
10
10
01
00
00
10
11
00
11
01
00
10
10
00
00
00
11
10
01
01
00
11
10
00
11
01
01
00
10
10
11
10
00
10
00
01
00
00
10
10
10
01
01
00
10
10
01
01
00
10
10
01
00
01
01
10
10
00
11
10
01
00
11
00
01
00
00
11
00
10
11
10
01
11
00
10
11
01
01
10
10
01
10
00
00
10
11
00
00
10
11
01
10
10
00
00
11
10
00
10
10
10
11
10
00
00
00
10
10
00
10
10
00
00
10
10
10
01
00
00
10
10
10
10
00
01
00
10
10
00
10
11
00
01
00
10
11
10
00
11
11
00
10
11
10
00
00
00
01
10
00
10
00
11
00
10
11
00
00
10
11
01
00
10
01
00
00
10
10
10
10
10
11
11
01
00
00
00
01
11
10
00
01
11
10
00
00
11
10
00
10
10
11
01
10
01
00
00
11
10
00
10
11
00
11
10
10
01
10
11
00
00
10
00
11
00
00
10
00
01
01
10
00
11
11
00
11
00
01
10
11
10
10
00
10
00
01
01
10
10
11
00
01
10
10
11
00
01
01
11
00
11
00
01
00
10
10
00
00
10
01
00
10
10
00
00
11
00
01
10
10
00
00
10
10
11
00
11
10
10
00
00
01
00
00
10
00
10
10
00
01
00
10
00
00
10
10
00
10
00
01
11
11
00
00
01
00
11
10
11
01
10
01
01
10
00
10
10
01
00
10
10
10
10
01
10
01
00
00
10
00
00
11
10
11
00
11
00
10
10
00
10
10
00
00
00
10
00
00
11
10
10
00
10
10
10
01
10
11
10
11
10
01
10
00
00
10
01
00
01
10
01
10
01
00
10
11
01
11
10
01
00
10
00
11
11
00
00
01
10
10
01
10
10
10
10
00
00
00
00
01
11
00
11
01
10
10
10
10
10
01
00
00
10
10
10
10
10
00
00
01
00
10
00
11
01
10
10
00
01
00
11
10
00
00
10
10
00
10
01
10
10
10
01
10
10
10
11
10
00
01
10
01
10
00
01
00
11
00
00
10
10
00
01
00
10
11
11
00
01
00
10
10
00
11
10
00
11
00
01
00
01
11
10
01
01
01
10
10
00
01
10
10
10
11
00
00
00
10
10
00
10
00
10
00
10
00
01
10
00
11
01
01
10
11
10
01
11
00
00
11
01
00
01
10
01
10
00
11
10
01
00
00
10
10
00
10
10
00
01
10
10
01
10
01
01
10
01
10
01
10
10
01
10
00
00
10
01
00
11
00
10
10
01
11
10
01
11
00
01
00
01
11
01
01
00
10
10
01
00
11
10
00
10
01
10
10
00
00
10
01
01
10
10
00
11
11
11
00
00
10
00
00
10
10
00
10
11
10
10
00
01
10
10
01
00
10
01
00
01
00
10
01
00
10
11
00
00
00
11
00
10
11
00
10
10
00
10
11
10
11
00
00
00
00
00
11
00
01
00
10
10
10
10
11
00
10
00
00
11
01
10
11
10
01
10
00
00
00
00
11
11
00
10
00
00
11
11
00
01
11
11
01
00
10
10
11
00
01
01
10
00
10
11
01
10
11
10
10
10
01
00
11
11
00
10
00
00
10
10
00
00
10
10
00
00
01
10
00
00
00
10
10
01
00
10
11
00
00
01
11
01
10
10
01
11
10
00
00
10
10
10
00
01
00
01
00
11
00
11
11
01
00
00
10
11
01
01
10
00
00
10
10
11
01
00
11
10
11
11
00
01
00
10
10
10
00
10
10
01
00
10
10
10
10
11
11
10
10
10
00
11
00
00
11
00
01
00
00
01
11
11
10
01
00
10
00
00
11
10
01
00
10
00
00
10
10
11
00
00
00
01
10
10
11
00
01
10
10
10
11
00
00
00
00
00
11
10
10
00
00
11
01
10
00
00
00
10
01
00
11
10
01
01
11
01
00
10
11
00
00
10
10
00
00
01
11
10
10
00
11
11
11
00
00
10
11
10
10
10
00
00
00
10
11
01
00
00
01
00
11
10
11
00
00
10
01
10
11
00
00
00
00
10
11
01
10
11
00
01
10
10
00
10
10
01
10
10
01
11
11
01
11
10
00
10
10
00
10
10
01
00
01
11
10
10
10
00
00
00
10
10
11
10
00
01
01
10
10
11
00
10
10
11
11
01
10
00
11
10
11
00
01
00
00
10
10
11
01
10
10
10
00
10
10
11
10
10
11
00
01
00
00
10
10
01
00
11
00
10
11
10
10
10
10
00
11
00
00
10
11
00
10
00
01
10
00
10
10
00
11
00
01
11
10
10
00
00
10
00
00
10
01
00
00
00
10
01
11
11
11
10
00
01
00
00
11
01
00
00
10
11
00
00
10
10
10
10
00
00
11
11
10
00
11
00
11
00
00
10
00
01
00
11
00
11
11
00
10
10
00
00
00
11
11
01
11
10
10
10
01
00
10
01
01
11
10
11
00
11
10
10
10
00
10
10
10
01
10
00
10
00
10
10
11
01
11
10
00
11
11
00
01
10
10
10
00
00
00
11
11
01
10
00
10
11
00
10
10
01
10
01
10
00
00
10
11
00
00
01
01
01
11
11
00
01
01
10
10
00
10
11
01
01
10
00
01
11
00
10
00
00
11
01
00
10
00
00
10
10
00
00
10
00
11
10
01
00
00
11
00
11
11
00
00
10
00
11
00
00
10
10
00
01
10
10
01
01
10
01
00
10
10
10
10
00
00
11
00
01
11
00
10
10
10
00
00
10
00
11
10
00
10
11
01
00
11
00
11
10
00
01
00
10
11
10
01
11
10
00
00
10
10
10
00
10
10
01
00
10
01
01
10
11
11
01
01
10
00
11
00
01
00
00
10
01
10
10
10
00
00
10
10
10
01
01
11
01
00
11
01
10
00
11
10
01
10
11
01
00
10
11
11
10
00
00
01
00
10
00
11
00
00
00
10
10
00
10
00
00
00
00
00
11
11
00
11
01
10
10
01
00
00
10
10
10
01
00
10
11
00
10
01
00
00
11
00
01
01
00
11
10
10
00
00
10
10
00
00
11
00
11
00
11
10
00
00
00
10
10
00
00
10
00
00
00
10
00
00
11
00
00
01
11
00
01
01
11
10
01
00
00
00
10
10
10
00
01
11
10
10
00
10
10
00
00
11
00
00
10
00
11
10
11
00
11
11
10
10
00
00
10
10
01
11
01
00
00
10
00
10
11
00
01
11
10
01
00
10
10
00
11
11
00
00
10
10
11
00
00
11
00
11
00
10
00
00
10
10
10
01
00
00
00
11
00
00
10
01
11
11
01
11
01
00
00
00
11
11
10
00
10
10
00
10
10
11
10
11
00
10
00
00
00
01
11
10
10
00
11
01
11
10
11
00
10
01
01
10
11
10
00
00
11
00
10
10
11
10
00
10
11
10
00
00
10
00
01
10
00
10
10
11
10
10
00
10
10
10
10
00
00
10
01
01
00
00
01
10
00
00
11
10
00
10
10
00
10
00
01
10
00
10
10
10
01
00
11
10
10
11
00
00
11
00
10
00
00
10
01
10
01
00
00
10
10
10
00
00
10
11
10
11
11
10
00
00
01
00
11
10
10
00
01
01
00
01
10
10
10
10
01
00
01
00
10
00
10
10
00
00
10
10
10
10
01
00
01
00
01
01
00
01
10
00
00
10
11
01
00
00
10
10
11
00
01
10
10
10
00
10
00
00
01
10
10
11
10
10
01
00
10
10
00
10
11
00
10
00
10
10
01
11
01
01
00
10
00
10
10
00
11
11
01
10
00
11
10
00
00
00
00
00
00
10
11
10
11
00
01
00
01
10
11
10
10
10
00
00
01
00
10
00
00
00
11
11
10
11
00
10
00
10
00
10
10
01
10
11
10
00
00
00
11
11
01
00
01
11
11
01
11
11
00
00
10
10
00
00
10
10
00
00
11
10
00
01
10
10
11
00
00
01
10
10
10
10
00
01
10
10
10
11
01
01
10
01
10
11
11
01
00
11
10
00
10
11
00
01
00
10
00
00
00
10
00
00
11
10
01
10
11
10
01
10
01
00
01
11
10
11
01
11
10
00
01
10
10
00
00
11
10
00
11
00
01
11
10
11
10
00
00
00
11
10
00
10
00
00
11
10
10
00
00
01
11
00
10
00
01
10
10
01
01
01
01
10
11
00
01
01
00
11
10
00
01
10
00
00
00
11
00
00
10
10
10
01
01
10
01
10
10
00
00
10
11
10
00
00
10
00
10
10
01
01
00
11
10
10
00
00
00
01
00
11
10
11
00
01
00
01
11
10
11
00
00
10
01
00
10
00
00
00
11
01
10
10
00
11
10
10
10
10
00
10
00
00
11
11
10
01
10
10
11
01
11
10
11
00
01
11
10
00
01
10
00
10
00
00
00
10
11
00
01
10
10
10
01
01
00
11
10
11
01
00
10
10
10
00
00
01
00
11
10
00
01
00
01
00
10
10
00
01
11
10
01
00
01
10
00
01
10
01
00
01
10
11
00
10
00
10
00
10
00
01
00
10
01
01
10
00
10
00
00
10
10
11
00
11
00
11
10
10
01
00
10
10
11
01
10
10
00
10
10
00
00
11
10
00
00
11
10
00
10
10
10
11
01
01
11
11
11
01
10
00
00
10
10
01
11
11
11
01
11
11
10
00
00
11
11
01
00
10
10
11
00
00
01
10
11
01
00
01
10
00
10
00
10
01
00
10
10
00
11
10
00
01
10
00
00
10
10
10
01
01
10
00
10
10
01
10
00
10
10
01
11
11
10
01
11
11
00
00
10
10
01
01
10
10
10
00
00
01
10
00
00
10
00
10
11
11
00
11
01
11
01
01
00
00
00
10
10
00
01
10
11
00
11
10
10
00
10
00
10
01
00
10
00
01
11
10
10
10
00
00
10
10
11
00
11
00
01
00
10
10
10
10
01
00
10
10
11
10
11
00
00
10
00
01
00
00
11
00
10
10
11
00
00
00
10
11
11
00
01
10
00
01
10
10
10
11
00
01
11
01
00
11
11
11
11
01
00
10
10
00
10
10
01
10
01
01
00
01
11
11
01
00
10
11
01
00
10
10
00
01
10
10
00
00
10
00
01
10
00
00
00
00
01
11
11
00
11
00
00
00
11
00
10
00
01
00
01
10
11
01
00
00
10
10
10
00
00
01
01
01
11
00
11
00
00
11
11
01
00
00
10
11
10
00
10
10
00
00
10
00
11
00
10
00
00
10
00
00
00
11
10
10
11
01
00
01
10
01
00
01
10
11
01
10
10
00
00
10
00
00
10
11
00
01
11
00
10
11
00
11
00
00
10
00
01
10
10
01
00
01
00
00
10
10
10
10
01
00
00
00
10
10
00
11
00
11
01
01
10
11
00
10
10
10
10
01
10
11
01
10
00
00
10
00
11
10
00
00
01
01
01
11
10
00
00
01
10
00
01
11
10
00
00
00
11
10
10
10
01
10
11
11
11
00
00
00
00
10
11
10
00
00
00
00
10
11
10
10
00
11
01
01
01
10
11
10
10
11
00
11
11
01
01
00
00
00
00
10
10
01
10
00
00
10
10
01
10
01
10
10
00
00
00
01
00
00
10
01
10
10
00
10
01
00
00
00
10
01
10
10
01
00
01
10
10
10
01
11
10
01
00
01
00
11
10
00
01
01
10
10
00
11
10
11
00
01
10
00
00
10
11
10
01
00
11
11
10
10
10
00
00
11
10
01
10
10
10
00
10
10
11
10
01
01
01
11
00
10
10
11
10
00
00
10
00
00
11
00
00
10
10
01
10
10
01
11
10
01
00
10
00
00
00
01
00
00
10
10
10
10
10
10
00
00
10
01
00
10
00
11
11
10
00
01
10
00
11
10
00
00
00
10
11
01
01
01
00
10
10
11
00
10
11
00
00
10
10
10
11
00
11
10
00
00
00
00
10
11
01
10
11
00
11
10
11
00
01
01
10
00
00
10
10
00
10
00
00
01
10
00
11
10
11
00
00
00
10
00
11
11
01
11
10
10
00
11
10
01
10
10
10
00
10
00
11
01
00
01
10
10
00
01
10
01
00
10
00
01
10
00
11
10
10
00
11
11
01
10
01
01
01
11
11
00
01
10
10
01
00
10
10
10
00
10
10
10
01
00
11
01
00
10
01
10
11
00
01
10
11
10
10
00
00
10
10
10
00
11
11
11
00
10
00
00
00
10
11
00
10
01
10
00
01
10
10
10
00
11
00
00
10
11
11
00
00
00
11
11
10
10
11
01
11
00
00
00
11
10
00
01
10
10
00
00
11
11
11
00
10
11
00
10
00
00
00
11
11
10
01
10
01
11
11
00
01
10
10
01
10
11
00
01
10
00
00
10
01
00
01
10
10
10
10
10
11
00
00
10
00
00
10
11
11
11
11
00
00
00
10
00
00
11
10
00
10
10
11
10
10
01
10
00
01
00
11
00
10
00
00
10
00
10
11
11
11
11
00
10
00
01
10
00
00
10
10
10
10
10
00
11
10
10
11
00
11
11
01
10
11
00
01
00
00
11
10
00
11
10
00
00
10
10
00
00
00
11
10
00
10
00
10
00
01
00
10
11
01
01
00
01
01
11
10
10
11
00
10
10
00
11
10
01
00
01
00
01
10
10
00
00
00
10
00
01
10
10
10
01
00
10
10
01
01
10
00
01
11
11
01
00
01
01
10
10
00
00
10
10
00
10
10
01
01
10
10
10
00
10
10
00
11
01
00
11
00
00
11
10
00
10
00
10
10
00
11
00
10
10
01
00
11
01
01
00
00
10
10
00
01
00
10
01
10
10
01
00
01
00
01
00
10
10
11
10
00
00
10
11
00
00
11
11
10
00
01
01
10
01
11
10
00
00
10
10
01
00
00
10
00
00
00
11
10
01
11
11
00
10
01
10
11
01
11
10
00
01
11
11
00
00
00
00
10
00
00
10
10
00
01
11
10
11
01
10
01
00
00
00
11
11
10
00
10
10
00
11
00
00
00
10
10
00
11
10
10
10
11
11
11
10
00
01
10
01
01
01
10
11
00
11
00
10
11
00
00
10
00
00
00
10
01
00
10
00
00
00
10
00
00
01
11
00
11
00
10
00
00
10
10
10
00
00
10
11
00
00
00
11
10
01
00
10
11
11
01
00
00
00
10
10
00
10
10
00
00
11
10
11
01
01
01
10
00
00
11
11
11
00
10
10
00
00
10
10
01
00
01
01
01
11
10
00
11
10
10
01
00
01
00
00
01
00
00
10
01
10
00
10
11
00
01
00
11
10
00
10
11
10
00
00
11
00
01
00
10
10
00
01
00
10
10
11
00
00
00
00
00
00
10
10
01
01
00
10
11
11
00
00
10
00
01
00
10
10
01
10
01
10
11
01
11
01
00
01
00
11
00
00
10
10
01
00
10
10
00
00
10
10
10
00
01
11
00
11
10
01
10
00
00
10
00
00
01
10
00
00
10
00
11
00
10
11
10
10
00
00
00
10
10
10
00
01
00
11
01
01
11
00
11
10
10
00
01
10
11
11
00
00
00
00
10
01
00
10
10
00
01
00
10
10
10
01
01
00
11
11
00
00
01
10
11
10
00
00
11
10
01
00
10
10
01
00
00
00
10
00
10
10
00
01
00
00
01
11
00
01
00
11
00
00
10
00
00
11
00
10
10
11
01
11
10
10
01
00
01
11
00
10
10
00
00
01
10
10
00
10
00
10
10
10
10
00
11
00
01
10
00
11
10
00
11
01
11
01
00
01
00
10
00
10
11
00
00
01
01
11
10
10
10
01
00
00
01
10
10
00
00
10
11
00
00
00
10
10
01
10
10
11
10
10
01
11
01
01
10
10
10
00
00
00
00
11
11
11
00
00
11
00
10
10
00
10
00
01
10
00
01
10
00
01
00
01
10
10
10
10
00
00
00
10
01
00
11
11
00
00
10
11
00
01
11
00
10
10
10
10
00
11
10
00
10
00
10
11
10
10
01
10
10
10
10
01
10
00
00
01
11
11
11
11
00
10
11
00
11
01
01
10
00
11
11
00
00
00
11
11
00
10
01
10
11
00
10
00
00
01
00
00
10
10
10
01
00
00
00
11
10
00
01
10
01
10
10
01
10
00
10
00
00
01
01
11
01
10
10
10
00
00
11
10
00
00
00
01
10
00
00
10
10
10
01
10
10
01
00
10
00
00
00
10
01
00
10
11
10
00
01
10
10
10
00
00
01
11
10
00
01
10
00
10
10
11
01
00
10
10
10
01
10
11
00
10
00
11
00
11
10
01
00
00
00
11
11
01
11
10
10
10
00
00
01
11
10
01
11
00
10
10
10
11
00
00
00
10
00
01
00
00
01
10
01
10
10
11
10
10
11
00
00
00
10
01
00
10
11
00
10
00
10
01
00
10
10
10
01
10
00
11
10
10
01
11
00
10
10
00
00
10
01
10
11
10
10
01
10
10
01
00
10
00
01
00
10
10
10
10
01
10
01
10
10
00
10
10
00
10
10
11
00
01
01
10
00
00
10
11
10
00
00
00
10
00
10
10
00
00
00
00
10
01
00
00
00
00
10
11
01
01
10
01
00
11
00
10
10
01
00
11
11
01
00
11
11
00
01
01
01
11
10
00
10
01
01
11
10
00
11
00
11
11
10
01
01
10
00
10
10
01
10
10
00
10
00
10
11
00
00
00
10
10
10
10
01
00
10
10
00
00
10
10
10
10
11
00
01
01
11
00
10
00
00
01
11
10
01
00
11
01
00
00
11
00
00
10
10
10
10
11
01
10
11
10
00
00
11
11
00
00
10
00
11
01
00
10
11
00
00
10
10
00
00
10
10
01
01
11
00
11
01
11
11
10
01
00
10
10
10
10
01
01
10
00
00
00
10
10
00
01
00
01
01
11
10
01
10
10
10
00
00
10
00
00
10
10
11
10
01
10
10
01
01
00
10
11
01
00
01
11
11
01
10
00
01
10
10
01
01
11
10
10
00
00
00
10
10
01
01
10
10
00
00
10
10
01
10
11
00
00
00
10
11
10
01
01
01
00
00
00
10
00
01
01
10
10
11
10
11
00
01
00
10
10
11
10
11
11
01
00
00
11
11
10
00
00
10
10
10
10
11
00
11
10
00
01
11
10
11
01
01
00
00
00
00
01
10
11
10
00
10
00
00
10
00
00
10
01
00
11
00
00
00
00
00
11
11
01
10
10
01
10
11
10
01
00
00
10
10
00
00
00
10
00
10
01
00
11
10
00
10
11
00
00
00
11
11
00
10
10
10
00
00
01
11
00
01
00
10
10
01
11
11
00
00
00
10
10
00
00
10
00
00
00
00
00
00
10
10
10
10
00
10
10
11
10
01
11
00
00
11
00
00
10
10
10
01
00
10
00
01
10
00
00
01
11
10
01
00
11
00
00
10
00
10
11
10
10
11
10
00
00
10
10
11
01
10
10
01
00
10
00
10
01
11
01
00
11
00
11
11
11
01
00
11
00
00
10
11
00
01
11
01
10
11
00
00
11
11
01
00
00
10
10
00
11
10
00
00
01
01
00
01
00
01
10
10
01
11
11
01
11
10
11
00
00
11
00
00
11
01
01
10
00
10
10
10
00
11
11
10
10
00
00
00
10
00
01
00
10
10
01
00
11
11
10
00
10
01
00
10
10
10
01
10
10
01
00
01
10
10
10
10
00
00
10
10
10
10
11
00
00
01
00
11
10
01
10
11
10
10
01
10
01
10
11
01
00
10
10
01
10
01
00
10
00
00
11
00
10
10
10
10
00
00
11
01
01
00
01
00
11
11
10
10
10
00
00
01
01
10
00
01
00
00
10
00
00
01
10
10
11
11
10
00
10
00
00
10
00
00
11
01
10
10
01
00
11
10
11
00
11
10
00
10
10
00
00
10
10
11
00
11
01
00
00
01
10
11
00
11
10
10
00
01
10
10
00
10
10
01
00
01
10
10
01
00
11
00
11
10
00
11
10
01
10
10
00
11
10
00
00
00
10
00
00
10
11
10
11
10
01
10
10
01
10
10
01
11
11
10
00
00
10
00
00
11
10
10
10
10
00
01
00
01
00
10
00
00
11
00
10
10
01
11
10
00
01
11
11
10
00
00
00
10
11
00
11
10
01
01
11
01
01
01
10
00
01
00
11
10
10
10
00
00
10
00
00
10
10
11
10
00
10
10
11
10
10
00
00
01
10
10
01
00
01
00
10
00
00
10
11
01
00
11
00
00
00
11
10
00
01
10
00
10
00
00
10
00
11
01
10
10
00
00
01
11
11
00
00
11
10
00
01
10
10
00
10
00
11
00
01
10
01
00
00
10
11
00
11
11
00
00
10
10
01
00
11
10
00
10
01
10
10
00
00
10
11
10
00
10
10
01
10
10
00
00
00
11
11
10
00
11
10
00
00
01
11
10
10
11
01
00
11
10
00
01
00
01
00
11
10
00
01
10
00
01
10
11
00
00
10
00
01
10
00
00
10
10
10
01
00
11
01
01
10
10
00
11
10
00
01
11
10
10
00
01
01
11
10
11
10
11
10
10
10
01
01
10
11
01
01
10
11
10
11
00
00
00
10
00
01
10
10
00
10
10
11
00
11
00
01
10
11
10
10
00
00
10
01
11
10
10
00
10
11
00
01
00
10
00
10
00
01
00
00
10
10
10
01
00
11
10
00
10
00
00
10
10
00
10
10
10
10
01
01
10
00
00
10
10
00
00
10
00
00
10
10
10
00
11
00
01
00
10
11
10
10
00
01
11
00
00
11
10
01
10
00
00
11
01
11
01
10
11
10
11
00
00
00
10
01
00
11
01
00
10
01
00
10
00
00
00
01
00
10
10
10
10
10
01
10
11
01
11
00
00
10
01
10
11
00
00
00
11
10
01
10
10
11
00
01
00
10
10
00
00
01
10
00
11
01
00
00
11
10
10
00
00
10
10
10
01
11
11
01
11
10
00
01
11
00
00
10
10
01
10
00
11
10
10
10
00
00
10
00
11
00
00
01
10
10
00
10
10
00
00
00
00
00
10
00
00
10
10
00
11
00
00
10
10
00
11
11
00
01
10
10
10
00
00
11
10
10
10
00
11
00
00
11
00
01
10
11
00
00
00
10
11
01
01
11
00
00
10
10
01
10
10
01
10
10
10
01
01
00
11
10
00
01
10
10
00
01
00
00
10
11
11
11
10
10
00
01
01
00
00
11
01
10
11
00
00
10
10
01
00
10
10
00
00
11
00
00
11
00
00
11
00
01
00
11
11
01
00
00
11
10
10
00
00
10
10
00
00
10
10
00
10
01
00
10
10
11
00
10
01
11
11
00
01
01
10
10
00
00
11
00
01
10
00
11
00
01
10
11
00
11
11
01
11
11
11
11
10
00
00
00
11
10
10
10
10
01
11
01
10
10
00
10
11
00
01
10
10
00
11
11
01
01
10
01
00
00
11
10
00
10
00
00
10
00
10
00
10
00
01
10
01
00
00
00
01
00
10
10
00
00
01
00
10
10
00
10
10
01
00
11
11
01
01
00
10
00
10
10
01
10
10
01
00
10
11
10
00
10
10
01
10
10
01
00
11
00
10
00
00
10
00
01
10
10
00
01
11
10
10
11
00
00
10
00
00
00
01
00
10
10
01
00
00
00
10
11
00
00
11
00
00
10
00
00
10
10
00
10
00
01
10
01
10
01
10
00
00
01
11
11
00
11
00
01
00
00
10
11
10
10
01
10
00
00
11
11
10
00
00
01
10
01
00
10
10
10
00
10
10
00
01
00
11
10
10
00
00
00
10
00
10
11
11
10
01
11
00
11
00
01
00
00
11
01
01
10
00
11
00
11
11
00
01
01
00
11
00
10
11
00
01
00
00
11
00
11
01
10
10
10
00
01
10
11
11
01
00
00
11
10
00
00
11
10
11
00
00
11
11
10
01
00
10
10
11
10
00
01
10
11
00
10
00
00
11
00
01
10
01
11
11
11
00
11
00
00
11
10
01
01
10
00
10
10
10
01
11
01
10
01
00
00
01
11
00
11
00
00
00
01
00
10
10
00
10
10
01
00
10
00
01
11
01
11
00
10
11
00
00
11
11
00
10
01
01
11
11
10
01
00
00
00
10
10
01
10
10
00
00
10
01
11
10
11
00
10
00
10
10
01
10
11
01
10
10
00
10
10
00
00
00
11
11
00
10
11
00
00
10
00
11
11
11
00
01
00
10
11
01
00
10
00
01
10
10
10
01
00
00
00
10
11
01
00
00
01
00
11
10
00
10
00
01
00
10
00
00
00
00
01
10
11
01
00
11
01
01
01
10
10
10
00
01
10
10
00
00
11
10
00
10
00
11
00
11
01
10
11
10
00
00
00
11
10
00
01
11
00
10
00
01
00
01
10
10
10
10
00
00
11
10
10
10
11
01
10
00
00
00
10
10
00
00
00
00
10
10
00
10
11
00
10
10
00
10
10
10
00
01
00
10
01
01
00
00
10
00
10
11
01
10
00
10
10
11
00
00
00
10
11
01
00
10
10
00
11
11
00
11
10
11
01
10
10
00
01
10
10
10
00
00
11
01
11
00
01
11
01
10
00
00
10
01
00
11
10
10
11
10
00
10
00
10
00
00
10
00
11
00
01
11
01
00
10
10
10
11
01
10
01
00
10
00
10
10
01
10
00
00
10
10
00
10
10
01
00
10
01
11
11
00
00
00
11
00
10
00
00
00
01
11
10
01
11
10
01
00
00
10
10
00
00
10
11
01
10
01
10
10
00
10
10
11
00
00
01
10
11
00
00
10
01
00
11
00
00
10
01
00
10
00
00
11
10
01
10
10
11
10
00
10
01
01
10
01
11
11
00
10
10
01
11
10
01
00
10
11
01
00
10
10
10
10
00
10
00
01
01
01
00
10
00
00
00
01
10
11
10
01
01
01
01
10
00
01
10
11
10
01
01
10
10
01
11
10
10
01
10
00
01
00
10
00
10
10
00
10
01
10
11
01
11
10
00
00
10
00
10
10
10
01
01
01
00
00
11
00
00
10
00
00
00
00
10
00
01
10
00
00
10
10
11
11
00
10
11
00
01
11
00
01
10
10
00
00
10
01
01
10
01
10
10
00
10
10
00
01
10
10
00
00
00
11
10
01
10
10
00
11
00
11
00
00
01
01
00
10
10
00
00
10
10
00
00
10
10
00
00
00
00
10
10
10
11
00
10
11
00
11
10
00
00
10
00
10
00
00
10
10
10
00
10
10
01
00
10
01
01
11
10
10
11
00
01
00
00
10
10
00
01
00
10
00
00
00
10
10
10
11
11
11
00
11
00
00
10
00
11
10
00
00
00
11
00
01
00
10
10
11
00
01
01
11
01
11
00
10
10
01
10
10
11
00
00
00
00
10
10
10
10
00
11
10
01
00
11
10
11
00
10
10
01
11
00
10
01
10
11
11
10
00
10
01
10
00
00
10
11
10
11
01
11
11
10
10
00
00
00
00
11
01
00
01
00
10
11
00
11
11
00
00
01
10
00
00
01
00
00
11
10
10
11
00
10
01
01
10
00
11
01
11
10
01
10
01
11
10
01
00
00
10
10
10
10
00
00
10
00
00
00
00
01
01
00
10
00
11
10
11
10
00
00
10
10
01
10
00
10
01
01
10
00
10
10
10
00
00
10
11
01
11
01
11
00
11
00
10
10
00
00
11
10
00
01
00
11
10
01
10
01
00
00
10
11
10
00
10
10
00
11
11
00
00
00
00
10
11
10
10
01
10
01
10
10
00
00
10
10
00
00
10
10
11
11
00
00
11
10
01
10
11
01
01
01
00
00
11
10
01
10
10
10
10
10
01
00
10
01
10
01
11
10
00
01
00
10
00
01
10
00
10
11
00
00
10
10
11
11
11
00
10
00
11
11
10
01
00
11
10
01
10
00
10
01
00
10
00
11
01
00
01
10
10
00
00
10
00
10
00
10
10
10
00
00
01
10
00
11
01
01
10
00
10
00
10
01
10
10
01
01
01
00
10
11
10
00
00
00
10
00
11
01
00
11
10
00
11
10
10
11
00
10
01
00
00
01
01
10
10
00
01
01
00
10
00
01
01
11
11
00
01
00
00
01
01
10
10
01
00
01
00
10
11
01
01
01
10
10
00
11
00
01
00
10
11
01
11
00
10
10
10
10
00
00
10
10
00
10
00
11
00
10
00
00
11
00
11
00
01
00
10
10
01
01
11
00
00
10
10
10
01
01
10
11
00
00
00
01
00
11
00
11
11
10
10
01
00
01
11
11
10
10
01
01
00
01
10
01
10
11
01
10
00
00
01
00
10
10
00
00
10
01
11
01
00
10
00
00
10
10
11
00
10
01
00
10
11
10
00
10
11
01
01
00
01
00
00
10
10
01
01
10
11
00
10
01
11
10
10
00
00
00
10
01
00
11
00
00
11
00
00
10
10
00
11
10
01
10
11
10
00
01
10
10
00
10
10
00
10
00
11
10
00
11
01
00
10
11
00
10
00
00
11
11
00
00
10
10
10
00
11
10
01
00
10
10
10
00
00
01
10
11
10
00
10
10
00
00
10
11
11
10
00
10
00
00
00
11
00
00
11
11
00
00
10
01
10
01
11
11
01
00
01
10
10
00
10
00
01
00
00
00
00
10
01
11
10
11
00
10
11
00
00
00
11
00
00
10
11
10
01
10
10
10
01
10
00
10
00
00
01
01
00
01
01
10
10
10
00
01
01
10
11
00
00
00
10
10
00
11
10
10
10
10
01
00
10
00
01
10
00
00
01
00
00
00
00
10
01
00
10
00
00
11
11
10
11
01
00
11
10
00
00
10
10
11
00
00
01
00
10
10
10
01
10
01
10
00
00
10
10
11
10
00
00
10
00
01
11
10
00
00
10
00
10
00
00
10
10
10
10
00
01
00
01
00
11
11
10
11
00
11
00
00
11
10
01
00
00
10
01
10
01
10
10
11
11
00
10
00
11
10
01
00
00
00
01
11
11
11
01
01
01
11
01
00
10
11
00
01
11
11
00
00
01
10
10
00
10
11
00
01
10
10
10
11
01
11
00
00
10
10
10
00
01
10
10
00
11
10
11
01
01
00
01
11
10
01
00
00
00
10
10
00
10
10
10
01
11
01
00
01
10
10
00
00
00
00
00
10
10
11
00
10
00
01
00
10
11
00
00
10
01
10
11
01
01
11
01
11
10
10
11
01
01
00
10
10
01
01
10
00
00
10
01
10
01
10
00
11
11
01
10
11
01
01
00
00
00
10
00
11
10
00
00
10
01
00
11
11
10
00
00
10
01
10
11
00
10
11
00
10
10
00
01
10
00
10
11
10
10
10
10
11
10
01
00
11
00
00
00
10
01
10
11
00
01
11
10
11
00
00
10
11
00
00
00
11
00
10
11
01
00
11
10
00
01
00
10
00
10
11
10
10
10
10
00
01
00
01
00
11
10
00
10
11
00
01
00
10
01
10
10
00
01
11
01
00
01
00
01
11
10
00
10
10
01
10
10
00
00
10
00
00
10
11
11
00
10
00
10
10
10
00
10
00
11
10
11
01
01
00
00
01
10
00
10
10
01
10
00
00
10
00
11
00
00
10
01
11
01
10
00
10
10
10
10
00
01
10
11
11
10
10
10
10
00
01
01
01
01
00
10
11
01
00
10
10
00
00
10
00
00
00
10
11
01
10
11
10
11
00
10
11
01
10
00
00
01
00
11
01
00
10
10
00
10
00
00
10
10
11
00
11
00
10
10
01
01
01
11
11
00
11
00
01
00
11
11
00
01
11
10
01
11
01
11
10
00
00
00
01
00
01
10
10
00
11
11
10
11
10
10
00
01
11
00
00
10
00
10
10
10
00
00
00
00
10
10
01
11
11
01
01
00
10
10
10
11
00
00
10
00
01
10
11
00
00
11
00
00
10
10
00
10
11
00
00
10
10
11
01
00
00
00
00
01
01
10
10
01
01
00
00
10
11
10
10
01
01
11
10
10
10
00
00
10
11
00
00
11
11
10
10
10
00
00
10
00
10
10
11
00
01
11
10
10
00
01
10
00
00
00
10
11
10
10
01
10
01
00
01
00
11
00
00
00
11
10
01
00
11
10
00
10
10
11
01
00
10
00
10
10
00
01
10
10
01
01
00
10
11
10
01
10
11
00
00
10
00
00
10
00
00
10
10
00
01
10
00
11
00
11
00
11
11
00
00
00
11
11
10
10
01
00
00
10
11
10
00
01
10
11
00
10
10
00
00
10
10
01
11
11
01
00
00
10
00
11
10
00
00
10
11
10
11
10
11
01
01
11
00
00
10
10
01
00
10
00
11
00
00
10
10
01
01
01
10
01
00
10
01
10
11
10
01
01
10
11
00
01
10
01
01
10
10
10
00
00
10
11
00
01
00
11
01
00
10
10
01
01
01
10
00
01
10
10
00
00
11
11
10
10
10
00
01
00
10
00
00
11
11
00
10
01
00
01
01
01
10
10
10
10
10
00
01
11
10
00
10
00
01
00
10
11
00
10
00
00
11
00
00
11
00
10
11
11
01
11
10
10
11
10
10
10
01
00
10
10
01
10
11
11
10
10
01
10
01
10
10
00
01
11
00
10
11
01
10
00
01
10
11
10
00
00
10
11
00
10
10
10
00
10
00
00
10
10
11
00
10
00
00
00
10
10
00
00
00
10
10
01
10
10
01
10
01
00
11
10
00
00
00
00
11
10
11
11
00
11
10
10
00
10
10
00
00
10
10
01
00
00
10
00
00
01
10
01
00
11
10
11
10
00
00
11
10
00
00
10
00
00
11
10
00
00
00
10
11
00
11
10
00
10
01
00
10
00
01
00
10
10
10
00
11
10
11
00
10
11
11
10
00
10
10
10
11
00
00
10
00
10
11
00
11
10
11
00
00
01
10
01
00
10
00
10
00
10
11
10
10
11
11
11
10
00
10
11
00
00
00
01
11
01
11
00
10
00
00
11
10
10
10
11
00
10
10
01
10
10
00
00
10
10
01
11
10
00
00
01
10
01
00
01
10
10
01
01
10
11
00
10
10
00
00
00
10
10
10
00
00
10
10
00
00
01
10
10
01
11
10
10
10
10
00
00
00
00
10
10
10
00
00
11
00
00
00
10
11
10
10
00
00
00
01
10
10
11
10
10
01
00
10
10
11
00
10
11
10
00
11
00
11
11
01
00
10
10
01
00
10
11
00
00
11
00
10
10
00
00
00
11
10
11
00
10
11
10
00
01
01
10
10
00
10
11
01
00
11
00
00
10
11
11
10
10
00
10
01
10
00
00
10
11
10
01
10
01
01
00
01
10
10
01
00
10
01
11
00
10
10
00
01
00
01
10
11
00
11
00
10
11
00
10
11
10
10
10
00
10
10
00
01
01
00
00
11
10
10
00
11
00
11
10
00
01
10
11
00
11
11
10
01
00
10
10
00
00
01
10
01
11
10
01
00
10
10
10
01
00
10
11
00
10
01
01
10
00
00
10
10
10
00
00
11
10
10
10
10
11
01
10
01
01
01
10
01
01
11
11
00
01
11
10
01
01
11
11
00
00
01
10
11
10
01
00
01
10
11
00
00
00
10
01
01
01
10
11
00
10
10
01
01
00
11
10
11
00
10
00
10
01
01
00
10
10
00
10
10
00
00
00
00
10
00
11
01
10
00
11
00
10
11
00
10
10
01
10
01
10
01
10
00
00
00
11
10
10
10
10
10
10
00
10
00
01
00
10
10
00
00
01
11
11
10
01
11
00
10
00
01
10
10
01
01
00
10
11
10
00
00
00
01
00
00
00
00
10
10
10
01
00
01
10
10
00
10
00
10
10
11
10
10
10
11
10
11
00
10
11
10
00
11
10
00
10
10
00
01
10
10
00
00
01
00
11
00
00
10
10
00
00
00
00
10
11
10
00
10
10
10
11
10
00
11
01
01
10
00
00
00
01
11
10
00
10
10
01
11
00
00
01
11
10
11
10
10
01
00
11
00
01
10
00
00
00
10
10
00
00
10
00
11
10
10
00
00
10
00
00
11
11
11
01
10
10
01
10
10
01
00
10
00
10
11
00
10
11
01
01
01
11
00
00
00
10
11
10
01
00
10
00
11
10
00
00
10
00
11
10
01
01
01
10
01
11
00
11
10
11
10
00
00
10
10
11
10
00
11
10
01
11
01
00
11
00
01
11
00
11
10
10
01
10
10
00
00
10
10
10
11
00
11
10
00
10
11
01
10
00
11
10
11
00
00
11
00
01
10
00
00
11
11
01
10
11
10
10
00
00
01
11
11
11
01
00
00
10
00
10
10
00
01
00
10
11
00
10
00
11
00
11
10
00
00
01
10
10
00
00
10
00
10
01
01
00
10
11
01
00
10
11
01
10
00
00
11
00
01
11
10
11
00
00
01
00
10
01
00
10
10
11
10
00
00
10
00
00
11
10
10
11
11
10
00
00
10
11
10
00
00
10
00
11
01
00
10
10
01
10
10
10
00
00
11
01
01
01
11
01
01
00
01
11
10
10
00
00
10
11
01
10
10
11
11
00
00
00
10
11
10
00
00
11
10
00
00
11
10
10
00
01
00
10
10
10
10
00
01
01
11
01
11
11
01
11
11
10
01
00
10
10
00
01
00
10
00
11
10
01
10
01
10
11
10
10
01
10
01
00
01
11
00
00
10
10
01
00
10
10
01
10
10
10
00
01
10
11
10
00
00
10
01
01
00
10
11
10
01
10
11
11
00
00
00
00
11
00
00
10
00
10
00
10
01
10
10
00
01
00
10
10
01
00
10
00
11
00
00
00
00
01
10
00
10
10
00
00
10
10
00
10
10
11
10
00
01
10
01
11
00
11
01
01
11
00
00
11
10
10
10
10
00
00
11
00
00
00
01
10
00
10
10
00
01
10
01
00
10
10
00
00
10
00
00
10
10
10
00
01
10
10
10
10
00
10
10
00
00
10
00
10
10
10
01
00
11
11
01
10
10
11
10
10
00
00
10
01
11
00
01
10
10
01
00
00
10
11
00
10
00
01
11
11
00
00
10
10
01
10
11
00
11
10
10
11
01
10
01
01
10
01
00
10
01
10
11
00
00
01
00
10
10
11
01
11
10
10
01
11
11
00
00
10
10
00
00
10
10
00
11
11
10
00
10
01
01
01
01
01
01
00
11
01
11
00
01
10
00
11
11
00
10
10
10
10
01
00
00
01
10
00
00
10
10
10
10
10
00
11
10
11
00
00
00
00
10
10
01
00
11
10
01
10
00
00
10
00
11
01
11
10
00
10
00
00
01
01
10
11
01
10
10
10
10
10
00
00
00
01
10
01
00
10
10
00
01
10
01
00
10
00
00
10
00
00
10
00
00
00
11
10
10
00
00
01
11
01
00
11
00
11
10
10
01
10
10
00
01
10
00
00
10
10
10
11
01
00
10
00
10
10
00
11
11
10
10
00
11
00
11
01
10
10
11
10
00
10
00
01
01
01
10
00
10
00
11
10
10
00
00
01
01
01
10
10
10
10
01
10
01
00
01
01
10
00
01
00
11
01
00
11
10
10
00
00
11
10
10
00
10
10
10
10
10
01
00
00
01
11
10
11
10
00
01
10
10
01
11
10
01
00
10
01
00
10
10
10
00
00
10
00
11
01
00
00
01
00
00
11
11
10
00
10
10
00
01
01
00
10
11
10
01
10
10
01
11
11
00
00
11
11
00
00
00
10
00
11
00
10
10
10
10
10
10
01
00
00
10
00
01
10
10
00
10
11
11
10
01
10
01
00
11
11
01
00
00
11
10
10
00
00
10
11
00
00
10
11
10
10
10
01
10
00
00
10
10
00
10
11
11
00
00
01
11
10
01
01
11
01
00
00
11
11
00
10
11
01
11
11
00
01
01
11
11
10
11
10
01
00
00
11
00
00
11
00
00
00
10
10
00
11
10
01
00
11
00
01
00
11
10
10
10
01
00
11
10
10
10
00
01
00
11
10
10
00
01
00
01
00
00
00
10
11
00
10
10
01
10
00
00
01
10
10
10
10
10
10
00
10
10
10
00
01
00
10
01
11
10
01
10
01
00
01
10
11
00
00
10
10
01
01
10
10
10
00
11
11
00
11
10
00
00
00
10
01
00
10
10
01
00
10
10
11
00
11
10
01
00
10
10
10
01
00
11
11
00
00
00
01
00
00
10
10
11
00
00
01
01
11
10
10
10
00
01
10
00
01
00
00
01
00
10
00
00
00
00
10
11
11
11
00
01
00
11
00
10
10
00
11
00
00
11
10
10
01
10
10
11
00
10
00
11
00
00
11
11
00
00
00
10
11
00
10
00
10
11
10
10
10
01
01
00
01
00
00
10
11
00
10
10
01
01
00
10
11
11
00
11
11
00
00
10
11
01
10
01
00
10
11
00
01
10
01
00
00
00
00
11
10
00
00
10
01
10
00
01
00
01
00
11
10
00
01
10
00
01
11
10
00
00
01
00
11
10
01
00
01
01
11
10
01
10
11
00
01
11
10
00
00
10
10
00
00
10
10
00
01
11
01
10
10
11
00
01
10
11
00
00
10
00
00
00
01
11
00
00
01
10
10
10
10
00
10
10
11
01
00
10
10
11
11
00
11
10
01
10
00
00
10
10
00
10
10
00
00
10
00
00
10
00
00
00
00
00
00
10
10
11
01
00
00
10
00
11
11
00
10
10
00
10
11
10
00
00
00
00
00
01
11
01
10
00
10
00
11
01
10
10
00
00
10
10
01
10
01
00
10
10
00
00
10
11
00
11
10
00
10
10
01
00
10
11
10
00
10
00
10
10
10
00
00
00
10
10
00
10
00
00
10
11
11
00
11
10
01
10
00
01
00
10
10
11
11
00
00
10
01
00
10
10
01
10
10
00
00
00
10
00
10
10
00
11
00
00
10
10
10
11
00
01
11
10
11
10
10
00
10
00
10
10
10
10
10
01
10
00
00
11
11
00
01
11
11
00
00
10
11
01
01
01
10
01
01
01
10
00
00
11
00
11
10
00
10
11
00
11
00
10
10
00
11
10
10
00
10
00
00
10
10
10
01
00
10
00
00
01
00
00
11
01
10
01
11
01
01
00
10
11
00
01
01
11
00
00
00
00
01
00
10
01
01
10
00
01
00
00
10
11
10
10
01
00
01
01
01
10
10
11
10
01
00
10
11
00
00
11
11
01
01
10
00
00
00
10
00
01
11
10
00
10
11
10
01
00
01
10
10
01
10
10
00
00
10
00
00
11
10
01
00
11
00
00
01
00
00
11
10
00
10
10
00
00
00
10
10
01
00
10
01
11
10
10
01
10
01
11
10
01
00
11
11
10
00
01
11
10
10
00
10
00
00
10
00
01
00
00
00
10
00
10
00
00
10
10
00
10
10
10
00
01
10
11
10
10
00
01
10
10
00
00
10
11
01
10
00
00
10
10
10
00
00
11
00
00
10
10
10
10
11
00
10
00
00
10
11
11
11
01
10
10
00
01
01
11
10
00
00
11
00
00
10
10
00
01
00
10
01
00
10
00
10
00
10
10
01
00
01
10
11
11
00
00
10
01
00
01
11
10
01
01
11
01
01
01
11
10
01
10
10
00
00
00
10
01
01
00
11
11
00
10
10
00
01
00
00
11
10
10
00
11
01
11
11
00
10
00
10
10
10
01
00
10
10
10
11
10
00
11
00
10
00
01
11
11
00
10
00
01
01
11
10
00
01
00
10
10
00
01
10
00
10
10
00
10
10
00
00
01
00
10
00
00
10
00
10
00
00
10
00
10
10
01
11
00
00
01
00
10
10
00
00
10
00
11
10
10
01
10
10
00
00
01
01
10
11
10
01
10
00
00
11
10
10
00
00
00
01
10
11
10
10
10
00
00
11
01
01
11
01
01
11
11
00
00
10
10
10
10
11
00
10
10
10
11
10
10
11
01
10
10
10
00
10
11
10
00
10
01
11
00
00
10
00
01
00
11
10
00
10
00
00
10
00
00
01
00
00
10
10
11
10
11
10
00
00
01
10
01
01
11
00
11
11
00
10
11
10
00
00
11
00
01
00
11
11
00
01
00
00
11
01
01
11
11
01
10
11
00
00
10
11
00
00
10
10
01
00
11
00
10
11
00
10
01
00
11
00
00
01
11
10
00
10
00
10
10
10
10
00
01
10
00
01
11
11
10
10
00
11
00
00
00
11
01
11
10
11
00
01
01
10
01
00
00
11
00
00
00
00
10
10
00
00
00
10
00
11
11
00
01
00
01
01
11
10
00
01
10
01
01
11
00
10
01
10
11
00
10
10
00
10
00
00
10
00
00
10
00
00
01
10
10
01
00
10
01
01
01
01
00
01
10
10
11
10
01
10
11
00
11
01
00
00
10
00
00
00
11
10
10
11
00
11
00
10
00
10
00
01
00
10
11
01
10
10
10
00
11
11
10
11
10
01
00
00
00
00
10
11
00
00
10
00
01
11
10
11
00
00
10
00
00
00
10
10
11
10
10
10
00
00
10
10
01
10
10
00
10
10
10
10
00
11
00
01
11
10
01
10
10
10
00
00
10
00
00
00
00
00
10
11
00
00
10
01
10
11
01
01
00
11
10
11
00
10
10
01
00
11
10
00
01
10
10
00
00
11
10
01
00
01
11
01
00
10
10
00
10
10
00
00
01
00
11
10
00
00
10
00
00
10
10
00
00
11
00
10
10
01
10
10
10
01
11
11
10
00
00
10
11
11
01
00
00
11
10
00
10
00
00
00
00
11
10
01
01
10
11
00
10
11
11
00
11
00
01
10
10
11
00
01
10
00
00
01
00
10
10
00
01
11
00
00
11
11
00
00
10
10
10
01
00
00
00
10
10
10
11
10
11
00
00
00
00
00
00
10
11
00
00
00
11
00
10
10
00
01
10
11
10
10
01
00
00
10
10
00
00
00
01
01
01
00
10
11
00
00
10
11
00
10
00
00
10
10
10
10
01
00
10
00
11
00
00
01
10
00
01
00
10
11
01
00
10
10
01
01
00
10
01
11
00
11
10
11
00
01
10
10
11
00
00
10
10
00
01
01
00
01
01
00
01
11
10
00
10
01
10
00
00
11
01
00
00
00
00
11
10
01
00
10
00
01
01
10
01
01
00
10
00
11
10
00
00
00
10
11
00
11
10
10
11
01
10
10
00
00
00
01
11
10
00
00
11
11
11
00
00
10
10
00
10
10
01
00
10
10
00
01
10
10
10
10
00
11
10
10
01
01
00
11
11
00
01
11
10
00
00
10
10
10
00
00
01
10
10
10
10
00
10
00
00
01
10
10
01
10
00
01
10
11
11
01
00
11
00
11
10
00
00
10
11
00
10
10
00
10
11
00
00
10
11
00
11
01
01
01
00
00
00
10
10
00
10
11
10
10
11
00
10
10
00
10
10
00
10
10
00
01
00
11
00
00
00
11
01
10
01
00
11
11
01
01
00
00
10
01
01
10
11
01
00
10
00
10
10
11
01
10
00
11
00
10
11
10
01
00
10
00
00
10
10
00
00
01
10
01
11
00
10
00
00
11
00
00
10
10
00
01
00
00
01
00
10
00
11
11
00
11
11
00
10
10
01
00
11
10
10
00
01
00
00
10
00
00
10
01
10
10
10
00
01
00
11
00
11
01
10
01
11
01
01
00
10
11
10
00
10
10
00
10
11
11
10
10
11
10
01
11
00
10
10
00
01
00
10
00
11
01
00
10
10
10
01
11
00
10
01
10
10
00
10
10
01
00
10
00
00
11
01
10
00
01
00
10
00
10
10
10
11
00
00
10
00
01
01
11
10
11
01
11
11
00
00
10
00
10
11
00
10
11
00
01
01
00
00
00
11
11
00
11
10
00
00
00
11
10
00
00
00
00
10
01
10
11
00
00
00
10
00
11
11
01
01
01
00
01
10
10
01
10
00
01
00
10
01
10
11
00
01
00
00
10
10
10
10
10
00
00
01
10
01
10
00
00
00
00
00
00
10
10
11
10
01
10
00
00
10
10
10
10
00
11
10
10
00
10
01
01
01
00
11
10
01
11
01
10
11
00
11
10
00
00
10
10
00
01
11
10
01
10
01
00
00
10
10
01
00
10
10
00
11
01
01
10
01
11
00
01
01
01
10
10
00
10
01
10
10
00
10
11
00
01
10
10
00
01
00
00
00
10
10
11
10
01
10
01
00
01
00
01
11
10
10
00
00
10
00
00
10
01
00
10
10
00
00
10
10
00
11
10
10
10
10
00
10
01
00
00
10
10
00
10
10
10
00
10
00
00
10
10
10
10
01
00
11
00
11
11
11
10
11
01
10
10
01
00
00
01
10
11
01
11
01
10
11
11
00
01
10
10
10
00
00
00
00
10
00
01
10
01
00
10
00
10
00
10
00
00
00
10
01
00
11
00
00
10
01
01
10
00
00
00
00
01
11
00
01
00
11
10
11
11
11
10
00
00
10
00
00
10
00
00
10
00
10
00
10
00
00
00
00
00
10
00
00
11
10
11
11
10
10
01
10
00
00
10
00
10
11
00
00
10
11
10
01
10
11
11
11
11
01
01
10
10
00
00
10
11
00
00
00
10
10
10
11
00
01
10
11
00
00
11
00
10
10
10
01
01
10
01
00
10
01
01
00
00
10
10
01
10
10
10
01
10
10
10
00
01
10
10
10
00
00
00
01
10
10
00
10
10
00
01
10
10
11
00
00
00
00
00
10
10
11
01
00
00
10
10
00
10
11
01
10
10
10
11
01
10
01
00
10
11
01
00
11
11
01
01
11
01
11
01
00
11
10
10
10
00
00
00
10
10
10
01
10
10
10
11
00
01
01
11
10
10
00
00
11
11
01
01
00
10
11
01
11
01
00
10
01
10
11
11
10
00
01
10
10
00
00
00
01
11
10
10
00
10
11
00
01
11
00
00
11
01
11
11
00
10
11
00
10
10
01
00
10
11
01
10
10
01
00
11
10
10
10
10
00
00
10
11
00
00
00
00
10
01
00
11
10
10
00
00
10
00
10
11
00
00
01
00
10
00
01
11
11
00
00
10
00
00
11
00
00
11
10
10
00
01
10
10
00
01
11
10
00
01
10
10
00
00
11
00
00
01
01
10
10
11
00
00
00
10
00
00
10
10
10
10
00
00
10
10
10
00
11
10
00
01
00
10
10
01
10
10
01
00
11
11
11
00
00
10
00
00
00
10
10
10
00
00
00
01
00
01
10
00
11
00
10
00
11
10
11
10
01
00
01
00
00
11
11
00
00
10
10
11
11
11
00
00
10
01
10
10
00
00
10
10
10
00
00
11
11
10
00
10
00
00
00
10
00
01
00
00
01
00
10
00
01
10
11
10
00
01
10
10
11
10
10
00
11
10
10
10
10
00
10
10
00
10
11
00
00
00
01
00
10
00
00
10
10
00
10
10
11
11
11
01
00
01
00
01
00
10
00
10
10
00
11
11
00
10
00
01
00
00
10
10
01
00
10
10
10
01
10
00
00
10
11
00
00
00
01
01
00
00
00
10
00
10
01
10
11
01
01
10
10
11
00
10
11
11
10
11
11
01
01
11
00
11
00
00
10
10
00
00
00
11
00
01
10
01
11
10
10
00
00
10
11
00
10
10
01
10
00
01
11
00
10
11
11
10
10
11
10
10
00
00
01
01
10
00
01
01
10
11
11
00
10
10
01
11
10
00
01
00
00
11
11
00
00
10
00
10
10
01
00
11
10
00
00
11
01
01
10
11
10
00
11
11
00
01
10
10
10
11
01
10
11
00
01
10
00
00
11
01
00
00
10
10
00
00
10
10
10
10
00
00
00
10
00
00
01
00
10
00
00
00
10
10
00
10
00
10
00
00
00
00
00
01
10
00
11
11
01
10
01
10
10
10
01
00
00
01
11
10
10
10
10
10
11
10
01
01
11
10
00
11
00
11
11
00
00
10
10
00
00
10
10
01
11
10
10
10
00
10
11
01
00
11
00
11
10
01
10
01
10
00
11
10
00
10
00
01
11
11
11
00
00
11
01
01
10
10
00
11
10
00
00
10
10
10
01
10
00
10
00
00
10
10
00
01
11
11
00
01
10
01
10
00
10
10
11
01
00
10
10
00
01
00
10
00
10
10
11
00
01
11
10
00
11
11
00
10
10
00
01
01
10
10
01
10
10
01
00
01
10
10
00
01
00
11
10
00
11
00
01
10
00
10
00
00
00
00
00
10
10
00
01
10
10
10
11
00
01
10
10
10
01
10
11
00
10
10
00
01
10
11
00
00
11
00
00
11
10
00
00
00
10
10
01
10
10
01
00
01
10
10
01
11
11
01
00
10
11
10
00
00
10
10
00
11
10
00
00
10
11
00
00
00
00
10
11
10
01
10
10
10
00
01
11
10
01
10
10
11
00
01
10
10
01
00
10
01
01
10
00
01
00
10
00
01
10
01
00
00
11
11
00
11
10
01
00
00
10
10
01
00
01
01
00
10
10
00
10
11
00
10
01
10
10
00
10
01
00
01
11
00
00
00
10
10
01
00
00
11
10
01
11
10
01
10
01
00
10
10
00
10
10
11
10
00
01
10
11
01
01
10
11
00
10
11
00
00
01
10
11
00
01
10
10
00
10
00
01
00
11
10
11
00
00
10
00
10
00
01
01
10
10
10
00
10
01
10
11
01
00
11
01
00
11
11
01
00
10
11
00
11
11
01
00
10
10
10
00
00
10
10
10
11
00
11
11
00
01
00
00
10
01
11
11
10
00
10
11
00
00
11
11
01
01
01
11
11
00
00
10
10
00
01
11
00
10
11
10
00
11
00
11
10
00
10
10
10
00
11
00
10
10
00
00
10
01
10
11
10
00
00
00
01
10
00
01
10
11
11
10
00
10
10
00
11
10
10
11
00
00
00
10
10
10
00
10
00
11
10
00
00
01
10
00
10
10
01
00
00
10
10
00
10
00
11
11
00
10
01
00
00
01
11
11
01
00
11
01
11
00
10
11
10
00
10
10
00
00
00
00
00
11
11
00
11
00
10
00
11
00
00
00
11
00
10
10
10
00
01
00
11
10
00
10
00
01
11
01
00
11
10
01
00
11
10
11
11
00
11
11
00
11
10
00
11
00
00
00
11
01
00
01
10
11
00
11
10
10
10
01
10
10
10
00
00
01
10
10
00
00
11
00
00
10
10
00
00
10
10
01
10
01
00
11
10
00
11
10
11
00
01
10
01
10
00
10
10
10
00
00
10
01
00
01
01
10
00
11
00
00
11
11
00
10
10
01
00
11
10
10
10
01
10
11
00
00
10
10
01
01
11
11
10
00
10
01
01
01
10
11
00
10
10
00
01
10
10
00
01
10
00
00
10
10
10
10
00
11
00
01
01
01
10
01
00
00
10
10
10
00
10
01
00
10
00
00
10
10
11
10
10
10
10
11
00
01
10
10
00
00
01
10
11
10
10
01
00
00
00
11
11
11
01
00
00
01
11
10
10
01
00
10
10
10
00
01
10
01
01
11
01
11
00
10
00
00
10
01
00
01
01
11
00
01
00
10
00
00
11
10
11
00
11
11
10
00
00
10
10
11
00
11
00
10
11
00
01
11
10
00
00
10
11
01
00
10
00
00
10
01
00
10
11
10
01
11
10
00
10
01
01
11
10
00
11
00
10
00
11
10
10
01
00
10
10
00
10
00
11
10
00
10
10
00
10
01
10
00
00
00
11
01
10
01
00
11
10
00
00
00
10
11
01
00
10
10
00
10
01
00
10
11
00
01
10
01
11
10
01
00
10
10
00
00
10
00
01
00
10
00
10
01
10
01
00
00
11
10
10
10
11
00
10
11
00
11
11
01
00
10
10
00
00
00
11
10
10
01
00
00
10
10
10
11
11
10
00
10
00
11
10
00
00
10
10
00
10
11
01
10
00
01
10
10
10
00
00
00
11
10
11
10
00
00
00
01
10
01
00
10
01
01
10
00
00
01
00
11
00
10
10
10
00
11
01
01
11
00
00
10
01
00
01
10
00
00
10
00
11
10
10
10
01
00
00
10
10
10
10
01
00
00
11
10
10
00
00
00
00
01
11
10
10
00
10
00
00
01
00
11
10
10
01
10
10
11
10
00
00
11
10
11
00
01
01
00
00
10
10
00
01
10
10
01
00
11
11
00
01
00
01
10
10
01
10
00
00
10
10
00
00
10
10
10
01
00
10
11
10
00
01
10
11
11
00
00
01
00
00
10
10
11
10
11
11
00
00
10
10
11
00
01
10
10
00
01
10
00
10
01
01
10
10
10
10
11
01
01
11
01
00
10
00
10
00
00
10
11
11
00
10
00
10
00
11
10
01
00
10
01
01
11
11
10
11
01
00
10
00
00
10
01
10
10
10
00
00
10
00
00
10
10
11
10
10
00
10
10
11
00
01
10
11
00
01
00
11
00
00
10
10
10
11
00
00
10
10
11
11
00
11
00
10
11
10
00
10
11
00
11
10
10
10
01
00
01
00
01
11
01
11
00
01
11
10
10
10
00
00
00
10
11
10
00
10
10
00
10
00
01
01
00
10
01
10
01
00
01
00
10
10
01
00
10
10
00
10
00
11
00
00
10
10
10
10
00
11
01
00
11
00
11
10
10
01
10
11
00
01
10
00
01
00
00
11
01
10
11
10
10
00
00
01
00
10
00
10
10
00
01
00
10
10
00
10
10
00
10
01
00
10
00
10
10
11
10
11
11
10
00
00
10
11
11
00
01
10
01
10
00
01
01
10
11
10
01
00
00
00
01
00
10
00
00
10
10
10
00
10
10
10
10
01
00
10
10
01
10
11
11
01
10
01
00
10
10
00
00
00
01
11
00
01
01
10
10
00
00
00
00
10
10
10
00
00
10
10
01
01
10
00
00
11
00
01
10
10
10
10
01
00
01
10
10
01
00
11
00
10
00
10
10
10
10
01
11
00
01
01
00
11
00
01
00
11
11
10
11
00
01
10
11
10
11
10
01
00
11
10
00
11
11
01
01
10
10
10
00
01
00
11
10
00
00
11
10
10
00
00
10
01
00
11
00
01
10
01
10
00
10
10
00
00
10
00
01
01
00
00
11
11
10
11
00
01
10
10
01
10
00
00
11
00
10
10
00
10
00
11
11
00
00
10
01
11
10
01
01
10
01
10
01
10
10
11
11
11
01
10
01
00
11
00
10
10
00
00
10
00
00
00
11
11
00
01
11
10
00
00
11
10
01
00
11
01
10
00
11
11
00
00
11
10
01
00
00
10
01
11
00
10
11
00
10
10
10
11
01
01
00
00
00
10
11
01
00
10
11
01
00
10
10
10
00
10
11
00
10
10
10
01
11
10
01
00
10
00
00
00
00
00
10
10
00
01
10
01
00
10
00
01
11
10
00
01
10
00
10
11
10
11
10
00
00
00
11
01
11
11
00
11
10
10
10
10
00
00
00
10
10
00
10
00
00
10
10
00
10
10
11
00
00
10
00
11
00
00
00
11
00
00
10
10
11
10
00
00
01
11
11
00
01
00
10
11
01
00
10
00
00
10
10
10
00
00
01
01
10
00
10
01
00
00
11
00
01
10
01
00
10
10
11
10
10
10
11
00
10
10
00
00
11
10
10
00
00
10
10
10
00
10
10
10
10
00
10
00
00
00
10
10
10
01
11
11
01
00
11
11
00
10
10
01
00
11
10
01
00
10
11
01
01
10
01
10
00
01
10
10
00
00
01
00
11
10
00
10
00
01
00
11
11
11
00
00
11
01
01
10
11
00
11
10
00
00
10
10
00
11
10
10
10
00
11
11
01
01
00
10
11
10
00
00
10
10
01
01
11
10
11
10
11
00
11
01
00
11
10
01
00
01
00
10
11
01
00
00
01
10
10
00
00
11
00
01
00
00
11
10
10
11
00
00
00
00
01
00
00
11
00
10
00
00
01
10
01
10
10
00
00
11
10
10
10
11
00
10
10
10
00
01
00
10
00
00
00
00
11
11
10
10
10
10
11
00
10
10
11
10
10
10
00
10
00
01
11
00
00
11
01
11
01
01
10
11
00
00
10
01
00
11
10
11
11
01
01
10
00
00
01
10
11
01
00
00
11
01
00
10
10
10
01
10
10
10
00
01
10
10
01
00
00
01
10
00
00
10
10
01
10
10
00
11
11
00
00
10
00
10
00
10
11
10
01
00
00
01
01
00
00
11
11
00
01
11
10
00
00
01
10
11
00
00
00
10
10
01
01
10
11
11
11
00
00
10
10
00
00
00
00
10
11
10
01
00
01
10
11
10
10
00
00
10
10
01
11
01
11
10
10
00
10
01
00
11
10
00
11
10
10
00
01
00
01
00
10
10
01
01
01
00
11
01
01
10
10
10
11
10
00
00
10
10
11
00
00
10
00
10
00
11
00
11
10
00
10
00
11
00
10
10
01
00
11
00
00
00
00
11
10
10
10
00
10
10
00
01
10
10
01
01
00
10
11
00
00
10
00
00
00
10
11
10
00
01
00
00
00
01
10
01
00
10
00
10
10
00
00
10
10
00
01
10
11
11
00
00
00
00
00
11
11
10
11
00
10
11
00
01
00
00
10
00
00
00
10
10
10
00
00
01
00
00
10
01
00
00
00
01
01
10
10
10
11
01
00
10
01
10
10
00
10
10
10
00
10
11
00
10
01
11
11
00
00
00
00
10
11
10
01
00
11
01
00
11
01
00
10
11
00
01
00
10
10
00
01
10
00
00
11
01
00
01
10
11
00
01
00
11
11
01
01
00
10
11
01
01
00
10
10
00
01
10
11
01
00
00
00
10
01
10
10
00
10
01
00
01
00
00
10
00
01
10
10
10
10
11
10
01
10
00
00
10
00
10
10
01
00
00
10
01
11
01
11
00
00
11
00
10
11
10
00
00
00
10
10
01
10
00
00
00
00
10
11
11
01
11
00
00
11
10
00
00
11
11
10
11
00
00
10
00
01
11
10
01
00
10
10
11
10
10
11
01
00
10
10
10
10
00
00
00
00
01
00
10
10
11
10
00
00
11
00
00
00
00
11
11
00
10
11
00
10
01
11
01
10
10
10
11
11
00
00
10
00
10
10
00
11
11
00
00
00
10
01
01
10
00
11
10
01
10
11
10
11
10
01
10
00
00
10
10
01
10
10
10
00
01
01
00
00
00
10
01
11
11
00
01
10
11
01
00
10
01
00
10
10
11
00
01
00
00
10
00
01
00
10
10
00
00
10
11
10
11
01
10
11
00
10
10
00
00
00
10
11
11
00
00
00
01
00
10
10
01
00
11
10
01
11
10
00
10
10
00
10
11
01
01
11
01
00
00
01
10
10
00
00
00
00
01
11
00
01
10
01
10
11
00
11
10
01
01
10
10
00
01
11
10
00
00
10
00
11
11
11
11
00
01
01
11
01
00
00
10
10
00
00
10
10
00
11
01
11
00
01
00
10
10
00
00
00
10
10
10
10
10
11
10
00
00
01
00
10
10
00
11
10
11
00
10
00
10
00
00
10
11
01
01
00
00
00
00
10
10
11
11
01
10
01
11
11
00
00
00
11
01
10
10
00
01
10
10
00
10
10
10
00
00
11
10
10
00
00
00
00
11
10
01
00
01
01
10
10
00
10
00
11
10
00
00
10
11
00
10
10
00
00
10
00
00
00
10
11
11
00
11
11
11
00
00
01
11
10
10
10
00
01
00
10
10
11
11
10
00
00
00
10
10
10
00
10
11
10
10
10
00
10
00
01
01
00
10
10
10
00
11
10
10
10
10
00
10
10
01
11
00
01
01
11
10
00
01
10
01
10
10
00
01
01
10
00
00
00
11
10
11
10
00
11
01
00
10
11
10
00
00
00
11
10
11
00
01
10
10
01
00
10
10
10
00
10
00
10
10
00
10
10
11
10
00
00
10
10
11
10
00
00
11
00
10
00
11
11
01
00
10
10
00
01
00
10
11
10
00
11
10
00
01
10
11
00
00
11
01
01
00
00
10
11
00
11
10
00
01
11
11
00
00
00
10
10
00
00
11
00
11
10
11
00
11
11
00
00
10
00
01
01
10
10
01
10
00
01
00
00
10
11
00
10
10
01
00
10
10
11
10
01
10
00
00
01
00
10
00
10
10
00
11
10
00
00
00
01
00
00
00
10
10
10
10
01
00
11
01
10
11
10
00
00
00
10
01
11
00
00
11
10
00
10
00
00
11
11
00
10
10
01
10
10
10
10
11
00
11
01
11
00
10
10
00
10
10
10
00
00
11
00
10
01
10
10
10
11
01
00
10
10
00
10
00
00
10
00
11
10
00
00
11
01
10
01
11
01
01
01
01
11
01
00
11
00
00
00
11
10
01
00
10
01
00
10
00
00
00
00
10
10
00
10
11
01
11
10
11
01
10
00
01
10
01
01
10
01
00
01
00
00
11
11
10
00
10
10
00
10
00
10
00
00
11
10
10
11
11
10
11
10
10
01
00
01
10
00
00
10
01
11
11
00
00
11
00
00
11
00
10
10
10
10
10
01
11
00
00
01
11
10
00
00
11
10
11
00
00
11
10
01
11
11
01
00
01
11
00
01
11
11
00
10
11
01
10
11
00
00
00
01
01
01
10
11
10
00
11
10
10
11
01
00
00
00
10
11
10
00
11
10
10
01
10
10
11
00
10
10
00
00
00
11
10
10
00
10
10
00
00
10
10
00
00
10
00
10
10
00
10
10
10
00
11
01
10
00
10
00
00
10
00
10
11
10
11
00
00
11
01
10
10
00
01
11
10
00
01
10
01
10
10
11
10
00
00
10
11
01
10
10
00
10
10
01
10
01
00
00
00
00
00
10
00
10
11
00
10
10
00
00
00
01
01
10
10
01
00
10
10
11
00
01
10
10
01
00
10
10
10
01
01
01
01
10
01
10
11
00
00
11
11
01
00
00
00
11
10
00
00
11
10
01
00
11
00
01
00
01
10
01
10
10
00
10
10
10
01
11
10
00
10
11
01
10
01
00
10
00
11
01
11
11
10
10
00
11
00
11
10
01
00
00
11
01
01
10
10
00
01
11
01
10
10
10
00
00
01
00
10
10
10
00
10
10
11
01
01
01
00
11
10
10
10
10
01
00
10
10
00
11
00
00
10
11
10
11
11
01
00
00
00
10
10
10
10
01
01
01
01
10
00
01
10
10
00
10
10
01
00
00
11
01
11
11
01
01
10
10
11
00
10
00
01
10
01
10
00
01
11
10
11
10
10
11
10
00
10
00
00
01
10
00
00
10
11
00
01
11
11
11
11
10
11
00
01
10
10
01
00
00
10
11
01
10
00
10
10
11
11
01
11
00
01
11
10
00
00
10
10
10
00
11
00
00
00
11
10
00
11
01
01
11
00
11
00
00
10
01
11
10
00
11
00
00
01
00
00
10
00
10
11
00
00
10
00
10
00
00
10
00
00
10
01
10
11
10
01
01
11
01
10
11
00
11
01
00
11
10
10
00
10
11
10
00
00
00
00
00
00
00
00
00
00
01
10
10
11
10
11
00
10
11
11
00
00
10
10
10
00
10
00
00
00
01
00
00
10
10
01
11
11
11
10
11
10
10
01
01
10
10
10
00
10
00
01
10
00
01
01
00
10
00
00
10
10
10
01
01
00
00
10
01
10
11
01
10
00
10
10
10
01
01
10
10
10
10
01
11
11
01
00
10
01
10
00
01
11
10
10
00
10
00
01
00
10
10
00
01
00
00
10
10
10
11
01
01
00
11
01
10
00
00
00
01
01
10
10
00
00
10
00
01
00
00
01
11
11
10
00
11
10
00
00
11
00
00
11
01
00
01
10
11
00
11
01
11
11
10
00
01
10
11
00
10
11
10
11
10
01
00
01
11
00
10
10
10
00
00
00
00
11
11
01
01
11
01
00
10
11
00
01
10
00
10
11
00
11
00
11
01
01
11
10
10
00
11
00
10
00
00
10
10
00
00
11
00
11
00
00
00
00
11
01
10
10
11
00
00
11
11
01
10
10
00
01
11
00
10
10
10
00
10
00
10
01
00
10
00
00
01
10
10
10
10
01
00
00
01
00
10
11
11
01
10
10
01
01
00
10
00
00
00
01
11
11
01
10
01
01
01
11
10
01
01
00
11
10
00
00
01
11
10
01
01
00
10
11
00
01
10
00
10
10
01
01
10
10
01
01
11
10
00
01
10
01
01
00
10
11
11
10
01
10
01
00
00
11
01
01
10
00
00
00
10
10
00
10
11
10
01
10
10
00
00
10
01
00
11
01
10
11
00
00
11
11
00
11
10
10
10
00
00
10
00
00
00
10
11
10
10
10
01
01
00
11
10
00
00
11
00
10
11
00
00
11
01
11
00
01
01
10
10
10
00
01
10
10
01
00
00
10
10
10
01
10
00
10
11
00
10
11
10
10
00
10
10
10
00
10
11
00
00
00
11
10
11
00
01
10
01
11
10
10
00
11
10
00
01
00
11
10
00
10
11
10
01
00
10
00
10
10
01
00
10
10
11
11
00
01
00
00
10
01
10
10
00
00
10
10
11
10
00
01
10
10
10
00
00
10
10
10
10
01
10
10
00
10
11
10
10
01
01
01
11
00
11
00
00
10
10
00
00
10
01
00
00
01
01
11
10
11
00
00
10
00
00
10
10
10
01
00
10
00
10
00
11
11
01
00
10
00
10
00
00
11
11
10
00
01
10
01
00
01
10
00
11
10
00
10
00
01
00
01
10
10
10
00
00
00
11
10
11
00
00
10
00
01
10
10
10
10
01
00
00
10
00
00
00
00
11
01
00
10
00
01
00
01
10
01
00
10
01
00
10
11
00
10
00
10
10
01
10
01
00
10
10
01
00
00
01
10
10
10
10
11
10
01
01
10
10
11
10
01
11
11
10
00
00
10
10
01
00
00
10
10
10
00
00
10
01
11
10
10
00
10
11
11
10
01
00
00
00
00
00
10
00
01
00
00
10
10
11
10
00
10
00
10
00
00
10
01
01
10
11
01
01
01
10
00
10
10
00
00
10
11
10
10
10
00
10
11
11
00
00
00
10
11
00
01
00
01
00
10
10
10
11
00
00
10
00
10
10
10
00
11
00
10
00
10
10
00
01
01
00
00
00
11
10
01
00
00
00
11
10
00
00
11
00
10
00
10
10
10
01
00
11
10
00
00
00
00
11
11
11
00
11
00
11
10
10
11
01
01
01
00
00
00
01
11
01
00
11
00
01
00
10
11
10
00
00
11
01
01
01
10
00
01
01
01
10
10
00
10
00
00
00
11
11
00
11
11
00
01
00
01
10
01
10
00
10
10
00
00
10
11
00
00
00
11
10
00
01
00
10
10
10
10
01
00
01
01
00
10
11
00
10
11
00
01
00
10
10
00
10
10
00
10
00
00
10
10
10
00
00
10
00
00
10
11
10
00
10
00
01
10
01
01
10
10
10
00
00
10
00
00
01
10
00
11
01
00
01
10
10
10
00
00
10
01
00
10
11
00
01
10
10
10
01
10
00
10
11
00
01
01
10
10
01
10
00
11
11
10
11
01
00
00
00
10
00
10
10
11
00
00
00
00
01
11
11
00
11
00
01
00
10
00
01
01
10
11
10
11
00
00
01
00
00
11
01
00
10
10
10
00
00
00
10
10
00
11
00
10
00
00
00
00
10
01
10
00
10
10
10
00
10
10
11
00
01
01
01
10
01
10
11
01
10
10
00
00
00
00
10
00
01
00
11
00
00
10
01
11
00
00
10
10
11
01
10
10
00
00
10
00
11
01
00
00
01
10
01
01
01
01
10
11
00
00
10
00
00
11
11
00
11
00
01
11
10
11
00
10
11
11
00
01
10
10
00
00
01
11
10
01
10
00
10
01
10
00
00
11
10
10
01
00
11
11
00
01
10
10
00
00
01
01
11
10
00
10
10
10
00
00
10
10
10
01
00
10
00
00
00
01
00
10
10
00
11
11
10
01
11
10
01
00
00
11
00
10
10
01
00
00
11
10
10
01
01
10
01
10
11
00
10
11
00
00
10
00
01
00
11
10
00
01
01
10
00
00
01
00
00
00
00
10
00
10
10
10
01
10
01
11
10
10
01
00
00
10
10
00
10
10
11
10
01
01
10
10
00
10
10
00
01
01
10
00
00
00
10
01
10
11
00
01
11
01
01
10
10
00
10
11
01
01
10
10
11
10
10
01
01
00
01
10
00
00
01
11
01
11
10
01
00
01
10
10
00
11
00
01
00
11
10
00
10
11
11
11
00
00
10
10
00
01
10
11
00
10
01
00
10
10
01
00
00
10
10
10
00
10
00
00
10
01
10
10
00
01
00
10
10
00
01
00
10
10
11
10
10
10
00
10
11
00
00
10
11
11
10
00
10
10
00
10
00
10
10
00
11
00
00
10
11
00
00
11
00
10
00
10
11
00
00
00
10
00
00
01
10
00
00
10
00
01
00
11
00
10
11
10
00
10
00
00
01
10
11
10
11
01
00
00
00
01
00
01
10
00
10
10
00
00
00
11
00
00
10
11
11
01
10
00
10
10
10
11
01
00
10
10
00
00
10
10
00
10
00
10
01
10
00
00
10
10
10
01
10
01
10
00
10
00
10
00
00
10
00
00
01
00
11
10
01
10
01
00
00
10
00
10
11
10
01
11
10
10
10
01
00
01
11
10
00
00
10
00
00
10
00
11
00
10
10
10
00
11
00
10
00
01
10
00
00
01
01
01
10
10
11
01
00
00
11
10
10
01
01
10
11
01
10
00
01
11
00
11
11
11
00
10
00
00
11
10
00
01
10
11
00
01
00
10
11
10
00
11
10
11
10
00
00
01
10
10
01
00
01
10
00
11
00
01
01
00
10
00
00
11
10
00
00
10
00
00
01
00
10
01
10
00
00
01
11
00
01
10
00
11
00
11
11
01
10
10
00
11
00
11
10
00
00
11
00
00
10
10
00
00
11
00
01
10
00
00
00
01
00
00
10
00
10
10
10
11
00
00
00
00
01
00
11
11
00
00
11
00
00
00
10
10
10
00
11
01
00
10
01
11
10
10
00
10
11
10
00
11
11
01
00
01
01
10
00
00
10
11
00
11
01
01
10
10
00
00
00
10
00
01
00
10
10
00
00
01
11
10
00
11
00
00
00
10
10
10
00
00
11
10
01
11
01
11
10
00
01
00
00
00
10
00
11
10
10
10
00
00
11
10
01
10
01
00
11
11
00
00
10
10
00
00
10
00
00
10
10
00
11
10
01
10
00
11
10
00
00
00
10
01
10
00
10
10
00
00
10
10
10
01
10
11
00
10
10
00
10
11
00
00
11
10
00
10
11
10
11
00
01
10
10
11
00
11
11
01
01
01
01
00
01
10
10
00
10
00
10
10
00
01
10
11
01
01
00
00
10
10
10
10
01
10
11
01
10
10
00
00
10
10
01
10
10
00
00
00
01
10
10
01
00
01
10
10
00
10
01
00
11
10
01
00
11
01
00
00
11
10
01
10
11
10
10
00
00
10
10
00
00
10
10
01
00
10
11
00
11
10
10
10
00
00
01
11
10
00
00
10
10
11
10
01
01
10
00
10
00
00
11
10
01
10
10
10
00
10
00
11
11
00
11
11
10
10
01
11
10
00
00
01
11
11
10
00
00
10
10
11
01
10
00
00
00
00
00
01
00
01
11
10
01
00
00
10
10
00
00
01
10
01
01
01
10
00
10
10
10
00
00
10
00
00
10
01
11
10
11
10
10
00
10
10
00
10
11
10
01
11
01
10
00
10
10
00
10
01
00
11
00
10
10
01
00
01
10
10
00
11
01
10
00
01
00
11
10
10
01
10
00
11
10
01
10
10
01
10
11
10
00
00
01
11
00
10
00
10
00
01
10
10
00
00
10
10
11
00
00
11
10
01
00
00
10
01
10
10
11
00
00
10
01
11
10
00
00
10
10
10
00
10
10
00
10
10
11
10
11
00
10
00
00
00
10
00
01
10
01
10
00
10
11
10
00
00
11
10
00
10
11
11
10
10
10
10
00
00
01
10
11
01
11
01
01
00
00
00
00
00
10
10
00
10
11
11
11
10
10
01
00
01
01
00
10
10
00
10
10
00
10
00
10
00
01
10
00
01
10
11
11
11
10
00
01
11
00
01
00
10
00
00
01
00
10
10
10
00
00
10
00
10
10
00
01
00
00
00
10
10
00
00
10
10
11
00
01
11
00
01
00
10
10
00
00
01
00
11
10
10
00
00
10
00
10
00
10
10
01
10
10
00
01
00
10
11
00
00
10
00
01
01
00
10
10
10
00
11
10
11
01
10
11
11
00
00
00
10
01
00
10
10
00
00
01
11
10
00
10
11
01
10
01
00
10
10
10
00
00
10
10
10
01
11
00
10
00
11
11
11
00
01
10
10
00
00
10
10
00
00
11
10
10
10
01
01
11
00
00
11
01
11
10
01
00
00
00
00
00
10
10
10
11
10
01
10
10
10
10
10
01
00
10
10
10
00
00
11
10
11
11
01
01
01
01
11
00
11
01
00
11
10
11
01
10
01
00
10
11
00
01
11
11
00
00
00
01
10
11
00
00
10
10
00
00
00
10
11
00
00
01
10
10
00
10
00
10
11
00
11
11
11
00
10
10
11
00
00
11
10
00
10
11
11
00
10
10
00
11
00
00
10
10
10
00
11
10
01
00
10
00
10
10
11
00
00
01
11
10
00
11
10
00
11
10
01
00
10
10
00
00
00
00
11
10
01
10
11
10
01
11
01
00
10
10
01
10
00
01
00
11
10
01
10
11
00
01
00
10
11
00
10
00
10
10
10
01
00
01
00
11
10
10
10
10
00
00
10
10
10
00
10
11
01
10
11
11
10
10
00
10
10
00
10
00
00
10
11
10
10
10
00
10
01
00
00
00
11
10
10
00
00
00
10
10
11
00
11
00
01
00
01
00
01
00
00
10
10
00
10
10
01
00
11
01
00
00
10
10
11
00
01
10
11
01
11
01
01
10
10
00
00
11
10
10
01
10
10
01
11
00
10
10
10
11
00
00
11
01
01
11
01
10
10
00
10
11
01
00
10
10
01
01
10
00
01
10
00
10
11
00
00
10
00
00
00
01
10
00
10
00
11
11
00
00
10
01
00
10
00
10
11
10
01
01
01
11
10
01
00
01
10
10
01
01
00
01
00
10
10
01
11
10
11
00
10
10
11
00
00
00
10
00
10
10
00
01
00
00
10
01
11
00
10
10
11
00
10
10
00
00
10
01
10
00
10
10
10
10
01
00
10
00
00
01
11
10
10
10
11
10
00
00
01
10
11
00
10
10
00
10
10
00
00
00
10
00
00
10
10
10
11
00
01
00
01
01
00
11
00
10
10
00
00
01
00
11
10
00
10
10
00
01
10
11
00
01
10
00
01
10
10
10
10
00
00
10
00
10
10
10
01
10
00
00
00
10
10
00
10
10
00
10
00
10
01
11
10
00
11
11
10
00
01
10
10
00
10
01
00
10
10
11
11
10
10
01
10
10
10
01
01
10
01
10
01
00
00
11
01
00
11
10
10
00
10
10
00
00
01
10
11
01
10
00
10
10
01
01
00
01
00
11
00
10
00
00
00
11
01
10
00
00
10
10
10
01
01
00
11
11
01
00
01
00
10
01
00
10
00
10
11
01
00
00
10
01
00
00
10
10
00
10
00
11
10
10
10
10
01
10
01
01
11
11
01
11
00
00
10
11
00
00
11
10
01
01
01
10
10
01
10
10
00
10
10
01
10
01
01
11
00
00
11
11
00
01
01
10
10
11
00
00
11
00
10
11
11
10
10
11
00
10
10
00
10
01
01
10
10
10
11
10
01
00
00
00
00
01
10
00
01
11
10
11
11
00
01
00
11
00
00
01
10
00
11
10
00
00
11
10
01
10
10
01
00
10
00
10
00
00
10
11
10
11
10
11
10
00
01
01
11
11
00
01
10
11
10
10
10
11
00
01
11
00
10
11
10
00
10
10
00
01
10
10
10
10
11
10
10
01
01
10
11
00
00
01
11
11
11
00
01
10
00
01
10
01
11
10
00
00
10
10
00
01
11
11
00
01
10
01
00
10
00
00
00
11
00
01
10
00
10
00
11
00
11
10
10
10
11
10
00
10
11
10
00
10
00
01
11
10
00
01
11
00
00
10
10
00
10
10
00
00
01
00
10
10
10
10
10
10
01
10
10
00
10
10
10
00
00
01
10
00
00
10
10
01
00
00
11
11
10
01
01
00
01
00
10
10
01
00
11
10
10
00
10
10
00
10
00
11
10
10
10
01
00
00
10
10
00
10
10
10
01
01
10
10
10
00
00
00
00
11
10
10
10
01
01
00
01
10
00
10
00
00
11
11
10
01
00
10
10
01
00
11
11
00
00
11
00
01
01
10
11
10
00
10
10
00
00
10
10
00
10
00
00
00
10
10
10
11
11
01
10
10
00
00
10
01
11
00
10
00
10
00
00
10
10
10
10
11
00
01
01
11
01
11
10
01
00
11
10
00
00
00
11
00
11
10
10
11
01
00
10
00
11
10
00
01
01
01
10
00
11
01
00
11
00
00
00
00
00
10
10
11
10
10
10
01
10
01
10
01
00
00
00
10
10
00
00
11
00
10
11
10
00
00
01
10
00
11
00
10
00
01
11
11
01
00
00
11
10
00
00
00
00
00
10
11
01
01
00
00
00
00
11
00
11
10
10
10
00
11
00
11
10
10
10
10
00
00
10
01
11
10
11
11
11
10
00
10
01
00
11
01
01
10
00
01
00
11
10
11
01
11
11
01
11
11
00
10
10
10
00
00
00
11
01
01
00
11
00
01
10
00
10
00
00
10
01
00
10
10
00
00
10
11
01
10
10
10
10
01
01
10
11
00
00
10
10
00
01
01
10
00
00
01
00
01
10
10
00
00
10
11
00
01
00
11
00
11
10
10
01
01
10
10
01
00
00
11
10
10
01
10
00
10
10
00
00
11
11
01
10
10
00
00
11
10
01
01
00
11
00
10
10
11
10
00
00
01
11
10
00
11
00
11
01
10
00
00
10
11
01
00
11
01
10
10
00
00
10
00
00
10
10
00
10
01
00
11
10
11
10
10
01
00
00
10
00
00
10
11
01
10
10
00
10
00
11
01
10
00
10
10
10
01
01
10
00
00
11
10
10
00
01
00
11
01
01
10
10
00
00
00
10
01
00
11
10
10
00
10
10
01
01
10
10
11
01
11
11
00
10
00
10
10
01
01
00
11
11
10
11
00
00
00
10
10
00
01
10
11
10
00
01
00
00
00
01
10
10
00
10
10
00
00
01
10
00
10
11
00
00
11
11
10
01
01
01
00
10
10
11
00
00
10
10
00
01
01
10
11
00
00
01
00
10
10
10
01
10
01
01
10
00
10
10
00
10
10
00
11
00
10
01
10
11
00
10
01
10
00
00
10
11
10
11
10
00
00
10
10
00
11
10
01
01
01
00
10
00
00
10
10
00
11
10
10
10
00
10
01
01
10
00
01
01
00
00
00
10
00
00
00
00
10
10
11
00
00
10
11
10
01
01
11
01
00
00
10
00
10
10
00
01
00
10
00
10
01
10
10
00
01
01
01
10
10
10
11
10
00
00
10
00
00
11
10
10
10
01
00
00
01
10
00
10
10
10
00
01
00
10
01
00
00
00
10
00
11
11
10
00
10
10
00
00
10
01
10
10
10
11
10
00
01
11
00
01
00
01
10
01
10
01
00
10
00
00
01
01
00
11
10
01
00
00
10
00
00
11
10
10
10
00
00
01
10
10
11
10
10
01
00
10
10
00
01
00
10
10
11
00
00
10
10
00
11
00
01
10
11
00
10
11
00
01
10
01
01
11
10
01
10
01
00
10
10
00
00
10
00
01
00
10
11
00
00
00
00
00
10
10
11
11
00
11
01
00
00
10
00
01
10
11
01
11
10
00
10
00
11
01
01
11
00
11
10
10
11
01
01
10
00
01
11
00
11
10
00
10
10
01
01
10
10
11
10
00
01
01
10
01
01
00
10
00
11
10
00
11
00
10
00
00
10
11
00
10
10
11
00
10
10
01
10
00
00
11
00
11
00
01
00
10
11
01
11
00
00
11
10
10
10
10
00
00
10
00
10
01
00
00
10
00
11
00
10
00
00
00
00
10
00
00
00
11
01
01
10
00
00
10
10
00
11
11
10
00
10
11
00
00
00
00
10
10
00
00
01
00
10
00
10
10
10
00
00
01
00
11
01
01
00
10
10
10
01
00
01
10
01
01
00
10
01
00
01
01
10
01
00
01
10
10
10
11
10
00
00
10
10
10
10
11
01
01
10
10
11
01
00
10
01
01
00
01
01
10
11
00
01
00
00
10
11
00
00
01
11
10
11
00
00
10
11
10
10
11
11
10
00
01
10
00
11
10
00
00
10
00
10
10
01
11
00
11
10
01
10
11
00
11
10
00
10
10
10
01
10
10
00
00
10
10
01
11
00
00
10
10
01
11
00
00
10
00
01
00
00
10
11
01
11
10
11
11
01
11
01
00
01
11
11
11
00
00
11
10
00
01
10
10
00
10
11
10
00
01
11
11
00
00
10
10
10
11
00
10
11
00
00
10
10
00
00
00
10
11
10
00
00
00
10
10
11
00
00
10
01
10
00
00
10
00
10
10
10
01
00
00
00
11
00
00
10
10
00
10
01
01
00
10
10
01
11
10
00
01
00
10
01
11
00
00
00
10
11
00
11
01
00
01
11
01
00
01
11
10
10
10
10
00
00
11
10
11
01
10
01
01
10
00
00
10
11
01
00
01
01
10
11
00
11
10
10
11
10
00
00
10
10
01
00
10
10
11
10
01
10
00
01
11
11
01
10
10
00
00
11
10
00
00
10
10
01
00
01
10
11
10
11
01
10
10
00
10
11
00
10
01
01
11
00
00
00
01
01
11
11
01
00
00
00
10
01
00
10
10
10
01
10
00
10
10
11
10
00
00
00
01
00
00
00
10
00
10
10
10
11
10
11
11
11
00
01
11
10
11
00
00
10
01
00
10
10
01
00
10
00
00
00
10
11
00
10
10
00
10
11
01
00
10
11
11
10
01
00
01
01
10
00
10
11
01
00
11
10
00
00
10
10
11
00
00
10
10
10
00
10
10
01
10
00
11
11
01
11
00
00
11
10
10
10
01
11
01
00
10
11
00
00
10
11
01
11
11
01
00
10
10
00
10
10
01
01
10
00
00
00
00
00
10
10
00
10
10
10
11
10
00
10
10
00
10
10
00
10
00
01
00
11
01
00
11
00
00
10
00
00
00
10
10
00
01
10
10
01
00
01
10
10
10
01
00
00
11
11
00
01
10
10
11
01
10
01
00
10
11
10
00
10
01
00
10
10
00
01
00
01
00
01
11
00
11
11
10
00
00
10
11
00
01
00
10
00
11
10
01
00
10
11
00
00
00
10
11
00
00
11
00
01
11
10
00
00
11
01
01
10
10
10
00
01
00
01
10
11
10
00
00
11
11
11
00
00
00
11
10
00
00
10
11
01
00
00
00
10
10
10
00
11
00
00
01
10
11
00
00
10
11
00
10
11
00
10
11
10
10
00
01
01
10
00
10
11
00
10
10
00
01
01
11
10
00
10
10
00
00
11
10
11
00
00
10
00
10
01
01
10
00
10
01
01
10
10
00
00
10
11
00
01
10
00
10
10
00
00
11
11
00
10
01
10
00
10
10
00
10
00
00
00
10
10
11
00
00
00
10
00
01
00
11
00
00
11
10
10
11
10
00
11
11
00
00
00
00
10
10
10
11
00
01
00
10
01
10
11
11
11
00
10
10
00
11
10
10
01
00
10
00
01
00
01
10
10
11
11
11
01
00
10
01
00
11
00
01
11
00
11
10
00
00
10
11
01
11
10
01
00
00
00
10
10
00
00
11
00
10
00
00
10
00
00
10
00
01
00
10
10
01
01
11
01
00
10
01
10
11
01
01
10
10
11
11
00
10
11
00
00
11
11
01
01
10
11
01
11
10
01
10
00
10
00
00
10
00
00
11
10
10
11
00
10
01
00
01
11
11
00
01
10
11
11
11
11
00
10
10
00
00
00
10
10
10
00
01
11
01
10
00
10
10
10
01
10
10
01
11
00
00
01
11
10
00
01
01
10
10
01
10
10
00
00
10
10
10
00
01
01
00
00
10
11
00
10
00
01
01
00
00
00
00
10
10
11
11
10
01
00
00
01
00
10
00
01
11
01
10
11
11
10
00
00
01
00
01
10
01
10
10
10
00
11
10
10
00
11
00
10
11
11
00
00
10
10
10
10
00
01
00
10
10
11
10
10
00
00
10
10
01
01
10
00
10
11
10
00
00
11
00
10
10
10
10
00
00
10
00
01
10
11
10
11
01
00
10
10
00
00
10
11
00
00
10
10
01
00
10
00
00
10
10
11
00
01
10
00
11
10
01
00
10
10
10
10
10
00
10
00
00
01
10
01
00
00
01
10
01
00
00
11
10
11
00
00
10
11
10
10
00
01
00
10
10
10
10
11
01
11
00
00
00
00
10
00
00
11
00
00
01
00
10
00
10
10
10
01
00
11
01
01
11
10
00
10
00
01
11
10
00
01
01
11
00
00
10
11
01
01
10
00
01
11
10
00
01
10
10
10
10
11
00
00
00
00
10
10
01
00
10
00
00
00
00
01
11
00
01
10
11
00
01
10
00
00
00
00
11
11
01
00
10
00
11
10
00
00
10
10
10
11
11
10
11
01
01
00
00
00
00
10
10
00
00
00
10
10
10
10
10
10
00
10
00
10
10
11
11
10
01
01
01
01
11
00
10
10
00
10
10
11
01
01
11
10
00
00
01
10
00
00
10
00
00
00
00
10
11
00
00
10
10
00
10
10
11
00
00
11
00
10
10
01
01
01
10
00
00
11
10
10
11
10
00
01
10
10
10
00
01
11
10
00
01
00
00
01
10
01
00
11
00
10
10
00
00
10
00
10
10
10
01
00
11
11
01
10
10
10
01
00
01
00
11
00
10
10
00
10
10
10
10
00
01
00
01
00
01
11
10
10
01
00
10
01
00
01
10
00
11
10
10
00
00
00
00
00
00
11
10
10
00
00
11
10
11
10
10
00
10
00
00
10
00
10
00
01
10
01
10
10
01
10
11
01
00
10
00
00
11
11
00
00
11
10
01
10
11
10
10
00
00
00
11
00
00
11
11
00
00
00
10
00
01
10
00
01
00
00
00
00
10
10
01
00
00
00
11
10
00
01
00
01
11
10
11
00
00
00
10
10
01
00
10
10
00
10
00
00
01
00
10
10
00
10
00
00
00
01
10
00
01
00
00
01
00
00
10
10
00
11
10
00
10
10
01
11
11
00
01
00
11
11
00
10
10
10
10
10
10
01
11
01
10
11
10
00
11
01
01
01
00
10
11
10
10
11
00
00
11
10
11
01
00
10
00
11
11
00
00
01
10
10
01
01
10
11
10
11
11
11
00
10
10
00
00
11
10
00
00
10
10
01
00
01
00
10
10
00
00
00
01
10
10
10
10
10
01
00
00
01
01
10
00
00
10
11
10
01
00
10
00
10
00
00
10
11
00
01
00
01
10
01
01
10
11
01
00
10
10
01
00
10
00
00
00
00
11
10
01
00
10
00
00
00
10
00
01
00
11
01
10
00
10
11
10
01
00
11
10
00
00
10
00
01
00
10
00
00
11
10
00
01
00
10
00
00
10
11
01
01
10
10
01
11
11
10
11
00
11
00
00
00
11
00
00
01
00
11
00
10
11
11
10
11
10
00
01
10
11
01
01
10
01
00
10
11
10
11
11
10
00
10
10
00
10
00
10
10
11
10
11
10
00
10
00
10
10
11
00
01
11
10
01
10
10
01
10
10
00
00
10
11
11
11
10
01
00
01
11
10
00
01
10
11
00
00
10
10
11
01
00
11
10
00
10
10
11
01
01
00
00
00
10
11
00
10
10
00
10
10
10
00
00
10
01
10
10
10
00
11
10
00
11
10
10
11
00
01
10
01
11
01
10
00
01
10
01
00
00
11
10
11
01
10
10
01
01
10
10
01
00
01
10
10
00
00
10
00
00
01
11
00
00
00
00
00
00
11
10
10
10
11
10
11
10
11
10
00
11
10
00
00
00
10
10
00
10
10
11
10
11
00
00
10
01
11
10
10
00
00
10
01
00
11
10
10
01
00
10
00
01
00
10
11
10
10
10
00
00
01
10
01
10
10
00
00
01
10
10
00
10
11
00
01
00
11
00
00
00
10
11
00
00
01
10
11
10
10
11
00
01
00
10
01
01
10
01
00
11
10
11
11
11
00
10
10
01
00
10
10
00
11
10
00
10
01
00
11
00
01
00
00
10
10
11
00
00
10
00
00
11
01
00
10
11
10
10
00
00
10
11
10
00
00
01
00
10
10
00
10
00
00
11
00
01
00
00
11
00
00
00
10
10
01
01
01
11
10
01
11
11
10
10
00
00
10
00
00
10
11
10
11
10
10
00
01
10
10
11
11
00
00
00
10
00
11
10
00
10
00
01
01
00
00
11
11
01
11
01
11
01
00
10
10
01
00
11
01
01
00
11
10
00
11
10
00
01
10
01
10
10
10
00
00
10
00
10
11
10
01
00
11
00
00
10
01
01
10
10
00
11
11
11
10
00
00
00
10
00
10
01
00
00
10
10
10
10
10
11
10
01
00
01
01
00
10
11
00
00
10
00
00
00
00
11
10
10
00
10
10
10
01
00
00
00
01
00
01
10
11
10
00
01
00
01
00
11
10
10
00
11
10
01
00
11
00
01
00
10
10
01
10
10
01
01
01
00
11
00
10
00
10
10
10
00
01
10
11
00
00
00
01
10
01
01
10
00
01
00
10
10
00
01
10
10
11
11
01
01
10
10
10
10
00
10
11
01
00
00
01
01
10
00
00
10
10
00
00
11
00
10
00
01
10
01
10
00
00
00
10
10
10
01
11
10
01
00
01
00
00
00
00
01
10
01
00
00
10
11
10
11
01
11
11
00
01
00
10
10
10
00
00
10
01
01
10
00
00
01
00
10
10
00
00
10
01
11
00
01
00
11
00
01
00
10
10
01
10
11
00
00
01
01
11
00
01
01
10
00
10
10
00
00
10
10
10
00
10
01
00
01
00
11
10
00
10
10
10
00
11
10
11
00
10
10
01
10
10
10
00
00
10
10
10
01
01
11
00
00
00
01
00
10
00
00
10
01
11
00
00
10
00
10
11
10
10
10
00
00
00
10
00
10
00
10
10
00
10
10
10
10
01
11
00
10
01
00
00
00
10
11
10
00
11
00
00
00
00
10
10
00
00
11
00
00
10
01
01
10
11
00
01
10
00
01
10
11
10
00
00
11
00
10
00
01
11
11
00
10
00
01
00
01
00
01
10
10
11
01
11
10
00
01
00
10
10
10
00
10
11
10
00
11
10
11
11
10
01
00
11
10
10
00
11
00
01
11
11
00
00
00
10
10
00
01
10
10
10
10
10
10
10
00
10
00
10
00
00
11
00
10
10
11
10
00
00
11
00
01
00
10
00
01
11
01
00
10
10
10
00
01
01
10
00
00
10
01
01
10
00
00
00
00
10
00
11
00
00
11
01
10
00
00
00
10
11
11
01
00
10
00
00
00
10
10
10
10
10
00
11
00
01
00
10
10
00
10
01
01
11
10
00
11
00
10
00
10
10
11
10
00
00
10
11
11
10
00
00
10
00
11
10
11
01
00
10
00
01
01
10
10
01
00
11
01
10
10
10
10
10
01
01
01
11
10
00
01
01
10
10
01
10
00
00
11
10
10
10
00
01
10
00
11
01
00
11
00
10
00
00
10
00
01
00
11
00
10
10
01
10
10
01
00
11
10
10
10
10
10
01
00
10
01
00
10
10
01
11
01
01
00
10
10
00
00
11
10
01
01
10
01
00
00
01
10
01
01
01
10
10
10
01
00
10
10
00
00
10
10
00
10
10
10
00
01
00
10
11
10
10
01
00
10
10
00
00
00
00
10
00
11
01
00
10
00
10
10
10
00
10
01
10
00
10
10
10
10
00
00
10
10
11
11
11
10
00
10
01
01
00
10
10
01
00
01
10
10
00
00
00
10
00
01
10
01
10
01
10
11
00
01
10
11
00
01
00
11
10
00
10
00
00
11
00
00
11
10
11
00
01
10
00
00
10
00
01
11
11
01
10
00
11
00
00
11
10
00
01
00
10
10
00
10
11
00
01
10
11
00
11
11
00
11
10
01
00
00
11
01
10
10
00
10
10
10
01
00
11
10
10
10
00
00
00
01
10
00
11
00
10
11
01
10
11
00
10
00
01
11
10
10
00
10
10
00
10
00
00
01
10
00
10
00
10
10
01
10
01
00
00
10
01
00
11
10
00
10
01
10
11
01
00
11
11
10
01
10
00
01
00
10
10
11
00
10
11
00
00
10
11
10
10
11
00
00
00
10
10
01
10
11
01
00
00
10
10
10
01
00
11
11
00
11
00
01
11
00
00
01
10
11
11
11
10
11
00
00
10
11
10
00
00
11
00
00
10
10
10
10
11
00
01
10
11
01
10
11
10
10
01
10
01
10
11
00
00
11
11
11
01
10
11
00
01
11
10
00
00
10
11
00
01
10
01
01
00
01
11
10
00
01
10
00
01
10
11
10
11
11
00
10
11
00
00
10
10
01
10
10
10
01
10
10
11
10
00
00
11
10
11
10
00
00
10
10
00
01
10
01
10
10
00
10
01
11
10
00
10
11
00
00
00
10
10
00
00
00
00
11
01
11
00
00
11
00
00
11
00
10
11
10
01
10
10
00
11
11
10
01
00
01
00
00
11
00
00
10
11
01
11
11
00
11
10
10
01
11
10
00
00
10
10
00
00
00
01
00
00
00
10
11
10
10
10
10
10
00
10
01
10
11
11
10
10
01
10
00
10
10
10
00
00
10
00
01
11
00
11
00
00
10
10
10
00
00
10
11
00
11
01
00
00
01
10
10
10
00
11
10
11
00
01
10
11
01
00
00
00
10
00
10
00
11
10
00
00
10
00
10
00
10
10
01
10
10
00
10
11
10
00
00
01
10
00
11
00
10
10
01
00
10
10
11
01
10
01
00
10
10
10
00
01
11
11
01
11
00
01
00
01
10
10
00
11
10
01
10
10
10
00
00
10
00
11
00
00
10
00
00
00
00
01
00
10
00
00
01
00
00
10
11
00
00
00
11
00
00
00
11
11
00
01
10
01
11
10
01
01
00
10
01
00
10
00
10
01
01
10
00
00
00
10
10
00
01
01
10
11
00
10
00
01
00
00
11
10
10
11
00
00
00
00
10
11
10
10
10
01
10
01
10
10
01
10
10
10
10
11
10
00
00
01
11
10
00
11
01
00
00
10
10
00
10
10
10
01
00
10
00
01
00
01
00
10
01
00
01
00
11
11
01
11
11
10
11
00
10
01
00
10
10
01
00
10
00
00
11
01
11
10
01
00
10
00
10
10
01
10
01
10
00
00
01
10
10
01
11
10
10
00
00
11
11
00
10
11
10
00
11
11
00
01
10
01
10
11
10
11
10
01
00
00
10
00
00
11
10
10
10
00
10
00
00
10
10
11
10
10
00
10
11
10
10
00
10
01
00
10
10
10
00
10
00
00
10
00
10
10
11
00
01
11
11
00
10
00
00
10
11
10
00
00
01
10
10
10
00
10
10
10
01
11
00
11
00
00
10
10
01
01
11
10
00
00
11
11
00
00
01
10
10
11
00
01
10
00
11
00
01
10
11
00
10
10
01
00
00
10
00
10
10
10
10
00
00
00
10
01
01
10
10
10
00
10
00
11
01
01
01
00
11
00
00
10
00
00
11
10
00
10
00
00
00
11
01
10
10
00
01
10
01
10
00
10
10
10
11
01
01
10
00
10
01
00
10
10
00
01
00
01
10
00
11
11
10
01
00
11
01
00
10
10
11
00
10
01
00
10
11
10
01
01
10
10
01
01
10
10
00
11
01
00
00
00
10
10
00
10
00
01
01
00
11
10
00
00
00
01
10
00
10
00
00
10
00
10
10
00
00
00
10
11
00
01
10
00
00
10
10
01
00
10
10
10
00
00
10
01
00
00
00
10
10
10
01
11
10
00
00
11
11
01
11
00
00
10
10
00
00
10
10
01
01
00
01
00
00
00
10
10
00
11
01
10
11
00
10
01
11
01
11
10
01
10
10
00
00
10
10
00
00
10
01
00
10
10
10
10
10
11
11
00
11
00
10
01
00
11
10
11
00
00
11
00
10
11
01
01
10
11
00
11
00
11
01
10
11
00
10
00
00
11
00
00
10
01
10
10
01
01
00
10
00
11
10
01
01
00
10
00
11
11
10
00
00
00
10
11
11
10
00
01
00
01
11
01
10
00
10
11
11
11
01
00
00
01
01
11
11
01
00
10
10
01
01
10
00
00
10
00
11
00
00
11
10
00
11
11
00
10
10
00
01
11
10
10
10
00
00
00
10
10
10
11
10
01
01
11
10
10
00
10
10
01
00
00
11
00
11
10
10
10
01
00
00
10
10
00
10
10
00
01
01
01
10
10
00
00
01
00
10
00
00
10
00
00
01
10
10
11
01
01
10
11
01
00
10
11
00
00
00
10
10
00
00
00
10
10
10
10
10
00
00
01
00
10
01
01
10
00
11
10
01
10
10
00
10
00
00
10
10
00
00
11
00
01
01
10
00
01
11
11
10
00
10
10
11
00
01
11
10
00
00
11
11
11
00
10
11
01
10
11
00
00
01
10
01
11
00
01
00
11
10
00
00
11
10
00
00
10
00
00
11
11
11
01
11
10
00
00
00
00
00
11
10
01
10
01
10
10
00
10
00
00
00
11
10
10
11
10
00
00
00
00
00
11
10
00
00
10
11
10
00
00
11
11
11
11
00
00
10
01
10
00
10
10
00
11
00
10
10
01
00
10
10
01
00
00
10
10
10
00
01
10
00
00
10
00
00
10
00
10
01
10
01
11
01
10
00
10
10
00
00
01
11
00
01
11
11
10
01
01
10
00
01
10
01
11
10
00
01
00
11
10
00
10
01
00
10
10
01
10
01
10
00
00
10
11
10
10
10
10
10
11
11
01
00
11
01
01
00
10
10
10
10
11
00
00
00
11
00
11
00
11
11
00
00
10
01
01
10
10
00
00
11
10
11
10
00
00
00
10
01
10
10
11
01
11
00
00
01
10
11
10
10
10
11
00
01
00
10
00
00
00
00
01
10
00
10
11
10
10
10
00
01
00
11
11
10
10
00
11
00
01
11
01
01
10
00
10
10
01
11
00
10
10
10
00
10
10
00
00
11
00
11
00
01
00
10
11
10
01
01
01
11
01
11
00
11
10
01
11
11
00
00
10
10
00
10
00
01
00
01
10
00
10
00
00
10
10
00
00
00
01
00
00
00
00
00
10
00
00
10
01
10
00
00
10
10
01
10
00
00
10
10
10
10
01
10
01
10
10
00
01
10
00
10
10
10
10
00
01
10
00
00
00
10
10
10
01
01
10
00
00
10
01
00
10
10
00
00
00
10
10
01
00
00
10
01
01
11
10
01
00
10
11
01
10
11
00
10
11
00
00
10
00
01
00
01
10
10
11
10
00
11
11
00
10
01
11
00
01
10
10
10
01
00
01
11
11
10
00
10
11
10
01
00
01
00
11
11
10
00
00
10
11
00
00
10
10
10
10
00
00
00
00
10
10
01
10
11
10
10
11
10
00
10
01
01
10
00
00
01
01
11
10
00
00
00
01
00
11
10
00
01
10
11
10
00
00
11
00
00
10
10
10
01
10
01
10
00
01
01
10
11
00
11
10
00
00
00
01
00
10
10
00
00
10
10
00
01
10
10
00
01
10
01
00
11
10
10
00
01
00
10
00
00
00
00
01
10
10
00
10
00
00
00
00
10
10
10
10
01
00
01
11
10
00
01
11
01
10
01
11
10
10
00
01
11
10
00
10
11
00
10
01
10
01
10
11
01
01
11
01
00
10
10
00
11
10
01
00
10
00
10
01
01
11
10
11
10
10
00
10
10
01
00
10
00
00
10
10
00
00
11
11
00
01
10
01
11
00
00
00
01
10
10
10
11
01
01
11
11
00
11
00
00
11
10
01
00
00
00
00
10
10
00
10
10
00
11
11
11
11
01
11
00
10
00
00
10
00
11
10
01
10
11
10
11
00
00
01
11
00
01
10
10
10
01
00
10
00
00
00
10
01
00
10
01
10
01
00
00
11
10
10
11
10
00
00
00
10
00
01
11
11
01
00
11
00
01
00
10
11
10
11
00
10
00
01
10
10
11
00
00
10
00
10
11
10
10
00
00
10
10
10
00
00
00
01
01
00
01
10
10
00
00
00
00
00
01
00
00
01
11
00
00
10
10
10
10
00
00
11
01
10
10
10
00
01
10
10
11
00
00
10
00
01
10
10
00
11
10
10
11
00
10
10
00
10
10
00
11
01
00
10
10
01
10
10
00
01
10
10
00
10
01
01
10
00
00
10
10
00
00
10
11
10
00
10
00
01
01
11
00
01
01
00
01
10
10
00
10
10
11
10
01
00
00
01
00
10
10
00
01
10
10
10
10
00
10
10
00
10
11
10
00
10
00
01
10
10
00
00
11
10
10
00
00
10
11
11
00
00
10
00
10
00
00
10
11
00
11
01
10
00
11
00
00
10
11
00
10
00
10
01
00
10
00
10
10
01
11
00
00
10
00
10
10
11
00
01
00
00
01
01
10
01
10
10
10
01
01
10
10
00
11
10
01
01
10
10
10
00
10
01
01
10
00
00
01
10
01
00
00
10
11
11
01
11
10
10
00
10
10
10
11
01
00
11
10
10
10
10
01
01
10
11
00
10
00
10
11
10
11
00
01
01
01
11
00
11
11
11
00
00
11
10
00
00
10
11
00
11
00
01
10
00
01
00
00
11
11
00
00
00
10
00
10
11
10
10
00
10
00
01
10
01
01
10
01
00
00
00
01
10
00
10
10
10
10
00
00
01
11
10
11
10
00
01
11
10
01
01
11
00
10
00
00
10
10
10
01
11
01
00
01
00
11
11
01
00
10
00
11
10
00
00
10
10
00
10
10
00
01
10
00
00
00
01
10
00
00
10
11
11
00
01
00
10
10
10
10
10
11
01
10
11
01
11
00
01
10
01
10
10
01
00
10
10
00
10
10
11
11
01
01
11
01
01
11
10
01
01
10
11
10
00
00
10
00
00
11
10
10
00
10
01
01
01
00
10
11
00
00
00
10
10
01
00
10
01
10
10
01
00
00
10
01
00
00
00
10
01
00
10
00
00
00
00
10
10
01
10
00
00
11
00
10
00
10
00
01
00
10
10
11
00
10
00
01
11
00
00
11
11
00
00
10
01
10
10
00
00
01
10
10
11
01
01
10
10
00
00
11
00
10
11
11
11
10
10
11
00
00
11
10
01
01
01
10
01
00
00
01
10
00
10
10
00
10
10
00
00
11
11
10
01
00
11
10
11
10
01
00
00
10
10
11
00
10
10
00
11
10
00
00
10
10
00
01
10
10
10
10
00
10
00
00
01
10
00
10
00
10
00
10
10
11
10
00
00
00
10
01
10
11
00
11
00
01
00
11
00
00
10
00
00
11
00
00
01
11
11
00
01
10
10
01
10
01
00
10
11
11
00
10
11
10
01
00
10
00
10
11
00
10
10
00
01
10
10
00
10
01
00
00
10
10
11
11
01
01
01
11
00
01
01
11
11
01
00
10
11
00
11
10
11
10
01
11
11
10
10
01
01
01
10
10
00
11
10
10
00
01
10
10
00
10
01
10
11
01
10
10
00
00
10
00
10
01
11
10
00
10
00
00
10
01
10
10
11
00
10
10
10
00
10
10
00
10
10
01
10
11
10
01
00
11
01
00
00
10
01
00
10
10
10
00
11
00
01
10
01
11
00
01
01
10
10
01
00
00
00
10
10
10
10
10
00
10
10
00
10
00
01
00
11
10
11
00
01
01
10
10
00
00
10
00
00
00
11
01
01
10
01
00
01
10
11
11
10
00
01
01
00
11
11
10
00
01
10
00
00
10
11
00
01
01
11
00
11
11
11
11
00
01
10
11
00
10
11
00
00
01
00
11
11
00
10
10
01
01
00
10
01
10
00
11
11
00
10
11
00
00
10
11
01
01
10
10
01
10
00
11
10
00
00
01
01
11
11
10
10
10
10
11
10
01
01
10
11
01
01
00
00
10
10
01
00
11
10
10
00
10
00
00
00
10
10
00
01
10
10
00
00
11
10
11
00
00
00
00
01
11
11
01
00
10
10
11
00
00
10
10
01
00
10
11
00
00
00
11
11
00
10
11
10
11
00
01
00
00
00
00
10
10
10
10
10
00
01
00
00
10
11
01
00
01
00
00
11
00
10
00
00
10
01
10
10
11
01
00
11
00
00
01
00
11
00
00
11
10
11
00
10
11
01
00
11
00
00
10
00
00
00
10
00
10
10
11
01
00
00
11
10
01
11
10
00
00
11
01
00
10
10
01
10
10
00
00
01
01
10
10
11
00
01
11
00
01
10
10
00
10
10
00
11
10
00
00
01
00
10
10
00
10
10
10
00
00
00
01
11
01
01
10
11
00
10
10
10
00
00
00
10
01
10
10
01
10
11
10
00
10
10
10
00
00
10
10
10
00
00
11
01
11
01
00
10
00
01
01
10
10
00
11
00
10
10
00
01
00
10
10
00
11
10
01
01
11
11
11
00
00
00
10
11
00
00
01
10
01
11
01
11
10
10
01
10
11
10
00
00
11
00
10
01
11
01
00
11
10
00
10
01
00
01
10
11
00
00
00
10
00
00
01
01
01
10
10
11
11
10
10
01
00
01
01
10
01
00
01
01
10
10
10
01
10
10
10
11
10
00
11
11
00
00
11
00
10
01
00
10
00
01
10
01
11
11
10
00
01
10
10
11
00
00
00
11
00
01
10
01
10
00
10
00
11
10
10
11
10
10
01
10
10
11
11
11
00
00
00
00
11
00
00
11
11
10
00
00
10
00
01
00
10
00
00
10
00
00
01
11
10
00
11
00
11
10
00
10
11
10
10
01
00
01
10
10
01
00
11
10
11
00
10
00
00
10
01
10
10
00
00
11
00
01
10
00
01
01
10
11
10
00
00
00
01
10
11
00
00
10
11
11
10
11
00
10
11
01
00
11
11
10
00
10
01
01
11
10
10
01
10
01
00
10
10
01
01
10
11
00
01
00
00
00
11
10
00
10
11
01
00
10
11
01
00
00
01
11
00
10
10
00
10
10
00
00
10
00
00
10
01
00
00
11
10
01
01
11
10
01
01
10
00
01
10
00
00
01
00
10
00
10
10
00
00
11
10
11
00
01
00
10
00
10
00
00
11
10
00
10
00
10
01
10
01
10
10
01
01
00
10
10
01
01
10
10
10
10
10
00
00
10
11
00
00
01
00
10
01
01
10
10
10
00
11
01
00
11
01
10
10
10
10
01
10
11
10
00
00
10
00
00
10
10
00
00
01
11
11
01
10
00
10
10
11
10
10
00
11
01
00
01
00
00
10
11
00
01
00
10
10
01
10
00
10
10
01
10
00
00
00
00
10
10
00
01
00
01
10
00
10
00
11
00
00
10
11
10
11
10
00
10
00
11
10
10
00
10
10
00
10
00
00
10
10
00
10
01
00
00
11
10
10
00
11
01
10
10
00
00
10
10
10
01
10
11
10
11
00
10
10
11
10
01
01
10
10
01
01
10
01
00
11
10
00
11
00
11
01
01
10
00
10
01
00
10
11
00
00
10
00
10
10
00
11
00
00
10
00
00
00
10
01
00
10
11
10
00
00
10
11
01
11
10
11
00
00
11
00
00
10
10
10
01
01
10
00
10
01
11
10
10
01
10
11
01
10
11
00
11
10
00
00
10
10
00
00
10
01
00
10
11
10
11
01
01
11
00
00
00
10
00
01
00
11
10
01
10
00
00
10
10
10
00
01
10
00
10
00
10
00
11
01
01
00
10
11
10
11
00
10
11
00
11
00
11
10
10
10
00
10
11
11
00
10
00
10
11
00
10
10
01
11
00
11
11
10
00
00
00
01
10
11
00
10
10
00
01
00
01
10
11
00
10
01
00
01
10
10
00
11
01
00
00
11
00
10
00
10
00
10
11
01
00
10
01
00
10
10
10
00
10
10
10
10
11
00
00
00
10
01
11
10
10
00
00
10
10
01
00
10
00
10
11
00
11
00
01
10
01
01
11
10
11
10
01
00
01
00
10
10
00
00
10
01
00
10
11
10
01
01
00
00
11
10
00
01
10
10
11
01
11
10
00
00
10
00
00
10
11
10
10
00
00
01
00
11
10
00
00
00
10
00
00
11
10
00
00
10
10
01
00
00
10
11
00
01
11
10
10
10
10
01
01
10
10
00
01
01
00
10
10
11
00
01
00
11
00
00
10
10
00
00
00
00
00
10
11
01
00
11
00
10
01
00
10
11
00
00
00
01
10
11
01
00
10
11
00
00
00
10
10
10
10
01
01
10
11
00
01
00
01
00
10
10
00
10
11
10
01
10
01
00
01
11
01
00
11
00
00
11
00
11
11
11
01
10
01
00
11
00
10
00
11
10
11
11
00
10
00
00
11
01
00
00
00
10
10
10
11
00
10
11
11
01
00
00
10
11
00
11
10
11
01
00
00
01
11
11
10
00
10
10
00
11
00
10
00
00
10
10
00
01
00
10
00
00
10
00
00
11
10
00
00
10
01
10
00
00
00
10
10
10
11
00
00
10
11
00
00
01
10
00
01
10
00
11
00
00
00
01
10
00
11
00
10
01
10
11
01
00
00
10
01
10
00
00
01
10
10
00
00
10
10
10
00
10
10
11
11
00
01
10
00
10
10
10
01
10
11
10
01
01
00
10
10
11
00
01
10
10
10
11
00
11
01
00
10
01
10
00
01
01
01
00
10
11
00
00
10
10
01
10
10
00
00
10
00
11
11
00
01
10
00
01
01
00
01
01
10
00
00
01
10
10
00
11
11
10
00
11
10
01
00
11
00
01
11
10
00
00
00
00
10
00
10
11
00
10
00
11
00
10
00
01
10
00
00
10
00
00
00
10
00
00
00
01
10
01
10
11
00
11
10
01
11
00
11
11
00
01
10
11
00
00
11
10
01
01
10
10
10
00
01
01
10
00
00
11
00
11
10
11
00
10
00
00
11
10
10
00
00
10
10
00
10
00
00
11
00
00
00
11
10
11
00
10
10
00
00
00
10
11
00
00
01
00
00
10
00
11
00
01
00
01
10
00
10
11
10
00
00
00
11
00
01
11
01
01
00
11
01
00
01
01
10
10
10
00
10
10
00
10
00
01
10
11
10
01
10
00
11
10
11
01
00
10
00
01
00
11
10
00
01
00
11
10
10
00
10
10
10
11
00
01
10
11
10
10
00
00
10
10
10
00
00
10
10
01
01
11
10
00
10
10
00
11
10
11
00
00
01
10
10
00
10
01
00
10
10
10
00
10
11
11
01
00
00
01
00
11
11
11
00
00
11
00
10
10
11
00
11
00
00
10
10
00
00
00
11
11
00
00
10
00
01
10
01
10
00
01
10
10
00
00
10
10
00
00
11
10
00
10
00
10
10
00
00
00
01
10
01
00
00
10
10
00
10
10
00
10
11
11
01
00
10
10
10
00
00
10
00
10
10
00
01
01
11
00
00
00
10
00
10
11
10
01
00
10
00
00
10
10
00
01
11
10
10
10
00
11
01
00
00
01
11
11
00
10
10
00
10
10
00
00
11
10
00
11
00
10
11
11
01
00
10
10
00
00
01
01
10
11
00
10
00
00
01
11
00
00
10
01
01
10
01
00
01
00
01
11
11
10
01
11
00
01
10
10
00
00
10
10
11
00
00
01
00
00
10
01
01
00
10
10
10
01
10
01
11
10
10
10
01
01
00
10
10
00
10
00
00
00
10
10
01
00
10
10
11
10
01
00
00
11
10
10
11
00
01
11
00
10
11
00
01
10
10
00
10
10
10
10
01
11
11
01
10
00
00
00
00
01
11
11
11
11
11
00
00
00
11
11
10
11
01
00
00
10
11
01
01
10
10
00
00
00
10
00
10
01
10
10
00
11
01
01
10
01
11
01
00
11
01
00
00
01
11
10
00
00
01
10
00
00
10
10
10
10
11
10
01
00
10
10
00
11
00
10
01
00
10
00
10
10
00
11
10
10
00
10
11
00
01
10
00
10
10
00
01
01
11
11
11
00
00
10
11
11
00
00
10
10
00
10
10
00
00
10
01
10
10
00
00
00
00
00
10
00
00
00
11
01
10
10
01
10
00
00
00
11
10
01
10
00
01
10
01
11
10
01
01
00
01
00
11
00
00
00
00
10
01
11
10
00
10
01
00
10
10
00
01
10
10
10
01
01
00
01
10
11
01
10
00
00
10
10
00
01
10
10
00
00
01
10
10
01
11
11
10
00
11
00
10
10
11
10
00
01
00
00
00
11
00
10
01
11
11
11
00
00
00
00
01
11
10
10
00
00
10
11
00
10
10
00
10
10
11
10
11
11
10
01
11
00
11
11
01
10
00
00
11
00
11
10
00
00
00
11
11
00
00
10
10
10
10
00
10
00
01
10
10
01
00
00
00
00
11
00
01
01
11
10
00
00
10
10
01
00
00
10
10
10
10
00
01
01
10
10
11
01
00
01
00
01
10
10
10
00
00
10
10
00
01
11
10
10
00
00
10
10
01
10
00
00
10
10
01
01
10
10
00
00
11
10
00
01
10
10
00
11
10
11
11
10
01
00
10
00
00
00
01
00
10
10
00
00
00
00
10
01
01
00
01
01
01
10
10
00
10
00
10
10
00
01
00
10
01
10
00
00
10
00
00
01
11
00
10
10
00
01
11
11
00
00
00
10
01
10
11
00
01
10
10
01
01
00
10
00
00
10
10
00
10
10
00
10
10
00
10
00
00
10
00
10
00
01
10
11
00
00
10
11
01
10
01
00
10
00
10
10
10
01
00
01
11
01
11
10
10
11
11
11
11
00
00
10
01
00
11
11
11
01
00
10
11
01
00
10
11
01
01
00
00
11
01
11
00
01
10
00
00
11
11
00
01
01
10
10
01
00
10
00
01
10
01
01
11
10
10
10
10
11
01
00
11
10
10
00
00
10
00
00
10
00
10
10
10
10
00
10
10
01
00
10
00
10
01
10
00
10
11
00
10
10
01
10
00
01
01
10
10
00
01
00
11
10
10
10
11
10
10
00
00
10
10
11
00
01
00
10
01
11
10
00
00
11
00
11
01
10
10
10
10
01
00
10
01
01
01
00
01
01
11
10
01
10
11
00
10
00
00
10
11
01
00
10
11
00
10
11
01
10
11
11
01
00
00
10
10
00
00
10
11
00
01
01
10
11
00
10
00
00
11
11
01
01
00
10
00
01
10
00
10
11
10
11
01
00
00
10
00
10
10
00
00
10
11
00
00
00
10
00
00
00
10
10
11
10
10
01
01
00
11
01
00
10
11
00
10
00
00
11
00
11
00
01
01
00
10
10
10
00
10
10
10
10
11
00
00
10
00
10
00
00
10
11
00
01
00
00
01
11
11
00
01
11
10
11
00
10
10
01
10
11
00
00
00
10
01
01
00
11
01
10
10
00
00
11
10
01
10
10
00
10
11
00
10
00
00
00
01
10
10
10
01
01
00
00
10
00
00
11
00
01
01
00
01
00
10
10
00
10
00
00
10
00
01
10
01
10
00
01
10
11
10
10
01
10
11
01
10
10
10
00
10
11
00
00
10
10
10
10
10
01
00
11
10
10
00
10
10
00
01
11
10
10
00
11
11
00
01
00
01
00
10
01
00
00
10
00
10
10
00
00
10
10
00
01
10
10
11
10
10
00
00
10
01
00
11
10
01
10
10
00
11
10
01
10
10
00
10
10
10
10
00
00
00
11
11
00
11
00
01
00
10
10
01
00
10
01
01
00
01
10
10
10
10
11
10
01
01
10
11
00
10
00
00
11
00
10
10
11
01
11
00
01
00
00
00
10
10
00
00
11
00
00
01
10
00
00
01
11
00
01
00
01
00
10
10
11
00
11
10
10
10
11
00
10
11
01
00
10
01
00
01
10
00
10
00
00
00
00
11
10
01
01
10
10
10
00
00
01
10
00
00
10
00
00
00
11
11
10
00
00
00
11
00
01
10
10
10
10
00
01
11
00
10
11
00
11
00
00
10
10
11
11
11
00
10
00
10
00
11
10
00
10
10
00
00
10
00
10
10
10
10
00
01
10
00
00
11
10
11
01
01
10
10
00
01
11
10
01
01
11
01
00
00
10
00
00
11
10
00
00
01
10
10
01
11
11
00
00
01
10
00
01
00
11
11
10
01
11
10
01
11
11
00
10
01
00
10
10
00
01
10
11
00
10
00
01
00
10
11
10
10
01
01
10
01
10
10
11
00
11
10
10
10
11
00
01
00
10
00
10
11
01
10
11
10
10
00
10
10
01
00
01
00
10
11
10
10
10
00
00
00
10
10
00
00
00
10
00
00
11
10
00
00
01
01
10
10
00
00
11
10
10
00
01
10
00
11
10
00
01
00
10
00
01
10
10
00
00
10
00
10
00
10
10
01
10
00
10
01
10
11
00
01
00
10
00
10
11
11
10
01
11
10
00
11
00
01
00
01
10
10
01
10
00
00
00
10
00
00
01
10
00
10
00
10
10
01
11
00
00
00
10
01
10
11
01
01
10
11
01
11
10
10
10
00
00
10
00
11
01
01
00
00
10
00
00
00
11
10
01
00
11
01
10
11
10
00
00
00
00
11
00
10
10
11
10
01
00
01
10
10
00
10
10
00
10
11
11
11
10
00
01
00
10
01
00
11
10
11
00
00
00
00
10
01
01
10
10
00
00
10
00
01
11
10
11
00
00
00
00
00
01
10
10
10
10
01
00
01
00
11
10
00
01
01
00
11
01
00
11
01
00
01
10
10
10
01
01
01
00
10
11
00
11
01
00
10
01
01
00
10
10
10
10
00
11
01
00
11
10
10
01
10
11
01
01
11
01
00
01
01
00
01
11
10
01
10
11
10
11
01
10
01
00
10
00
01
10
10
00
00
00
01
10
11
10
01
01
00
10
00
00
10
10
11
01
00
10
00
00
10
10
11
00
00
10
00
01
11
10
00
11
01
11
11
10
01
00
00
11
10
10
00
10
10
10
10
00
00
11
00
01
11
10
01
00
01
01
10
11
01
10
10
00
10
10
00
01
10
11
11
11
10
10
10
00
10
11
10
01
01
10
11
11
00
11
00
01
11
10
10
11
00
00
01
01
01
01
10
00
10
00
00
10
10
10
00
10
10
10
01
10
11
11
10
01
00
00
11
00
10
00
10
00
10
10
01
00
11
01
11
10
01
10
01
00
00
00
11
00
10
10
11
10
00
01
10
01
00
00
00
00
10
10
10
00
00
00
01
00
10
00
10
01
11
00
10
10
00
10
00
00
00
10
11
11
11
10
00
00
00
10
10
10
11
11
01
10
10
00
10
10
00
00
01
10
10
00
00
01
10
10
10
00
10
01
01
00
00
10
10
11
10
00
01
10
11
00
01
10
01
10
11
00
00
10
10
00
00
01
00
01
00
00
10
01
10
00
10
00
00
10
00
10
01
00
01
10
11
00
11
10
10
00
00
00
01
00
11
10
00
00
01
00
10
10
01
10
10
00
00
10
10
10
10
01
11
00
00
10
11
00
00
00
10
11
01
01
10
10
00
10
10
00
01
11
00
01
10
00
01
00
01
10
00
01
11
10
11
00
01
11
01
00
11
00
00
00
10
10
10
10
01
00
00
10
00
10
10
10
10
10
01
00
00
00
01
10
00
11
11
01
00
10
01
00
01
10
10
11
10
11
10
00
01
10
11
10
00
00
00
10
11
10
00
00
11
00
00
11
00
10
10
01
00
00
00
00
00
10
11
10
00
10
11
10
10
00
01
00
10
11
00
00
00
00
10
10
10
00
00
10
10
00
10
00
10
11
10
00
01
11
10
00
10
00
10
00
11
10
00
11
00
11
11
00
00
11
00
01
00
11
00
10
01
00
00
10
00
10
10
10
11
11
01
00
10
00
00
00
10
10
01
00
10
01
10
01
00
10
10
00
10
10
00
00
10
10
00
00
00
01
01
10
01
10
01
00
00
00
10
11
11
01
10
10
11
01
00
11
10
11
01
01
10
00
10
00
00
11
00
00
11
11
00
00
10
00
10
00
10
11
00
11
00
01
00
00
11
10
11
11
10
01
00
10
01
00
10
00
00
00
10
00
10
11
00
00
00
10
01
10
11
00
10
00
00
10
00
11
00
11
10
01
00
00
11
01
01
10
00
00
01
10
00
00
10
10
00
00
10
10
10
01
00
10
11
10
00
00
10
11
00
11
01
10
11
00
00
01
11
10
00
01
10
00
00
10
00
01
10
00
10
11
01
01
10
10
10
01
11
00
01
11
11
00
01
11
10
01
10
00
00
10
10
01
01
11
00
01
00
01
10
00
01
10
10
00
10
10
11
11
11
00
11
10
11
01
00
10
10
10
01
01
11
01
00
00
10
10
00
10
01
10
10
00
11
00
10
10
00
00
11
11
10
00
00
00
10
10
00
00
10
10
01
00
10
10
10
10
10
11
01
10
00
01
10
00
10
00
10
10
01
00
10
01
11
10
10
10
10
00
01
10
00
00
11
11
10
00
11
10
01
00
10
10
00
00
10
01
10
00
00
00
00
01
00
01
11
01
01
01
00
00
10
10
10
00
01
10
10
11
10
00
10
10
01
10
01
00
01
10
10
01
00
11
11
10
00
00
00
10
10
11
11
01
01
10
01
10
01
00
10
00
00
01
10
10
00
00
00
01
00
10
11
01
10
00
00
10
00
11
00
00
10
11
00
10
00
00
11
10
00
01
00
10
10
00
00
01
10
11
00
01
00
00
00
10
10
00
10
11
10
10
00
10
01
10
10
00
10
10
10
01
00
00
10
00
00
00
11
10
00
00
00
10
10
10
01
10
10
00
01
11
00
11
00
00
10
01
00
11
10
00
11
00
10
11
10
01
10
11
00
00
00
10
00
00
10
11
10
00
00
01
01
11
10
00
01
10
10
00
00
00
10
11
10
00
10
00
11
00
01
00
00
11
10
10
10
00
00
10
01
00
00
11
00
01
10
10
01
10
11
11
01
10
00
10
11
10
01
00
10
11
00
10
00
10
10
10
00
01
10
10
10
01
10
01
10
00
00
10
10
10
00
00
00
00
10
00
00
00
00
01
11
11
10
11
10
01
00
00
11
11
11
10
10
01
00
10
11
10
01
11
10
00
01
10
00
01
11
11
01
00
10
11
01
01
00
00
00
00
10
10
10
00
10
00
01
10
10
01
00
00
00
10
00
11
01
11
11
10
10
10
10
10
00
00
11
01
00
11
00
00
11
01
10
01
00
11
10
11
00
10
10
00
00
10
01
10
11
00
10
11
10
10
00
11
10
00
00
01
00
11
10
10
10
11
11
00
10
11
11
00
00
10
10
00
10
00
10
00
10
00
01
01
00
00
00
00
10
00
10
11
11
01
10
10
01
11
00
10
10
00
10
11
00
00
11
00
11
00
10
10
11
00
01
10
10
10
01
01
10
11
00
00
01
10
00
10
10
11
10
10
00
01
01
01
11
01
11
00
10
00
10
10
01
01
01
11
11
11
01
11
11
00
01
10
11
00
10
10
00
00
11
00
01
01
11
10
10
01
00
00
10
10
00
00
00
11
11
01
11
01
10
00
10
10
00
00
11
10
10
00
10
01
00
10
10
10
00
00
01
11
11
11
00
00
00
00
01
10
11
00
01
10
01
10
11
10
10
00
10
10
00
01
11
10
01
00
01
10
11
00
00
10
11
10
00
11
01
10
10
11
10
00
10
01
01
10
10
00
00
10
11
00
00
11
01
10
10
00
11
11
10
10
00
00
10
01
00
01
00
10
00
11
01
00
10
10
11
10
10
00
10
11
10
10
00
10
00
00
00
10
11
01
11
01
01
10
10
01
00
10
10
01
11
00
01
00
00
10
10
11
00
10
10
00
10
00
01
00
00
10
01
10
00
00
00
01
11
01
10
01
10
11
00
11
10
01
01
10
10
00
11
10
10
01
01
10
00
00
10
00
00
11
11
00
10
00
01
00
10
01
10
00
11
00
00
01
11
00
10
11
00
10
00
11
10
00
01
10
11
11
11
00
10
00
00
01
10
00
01
00
00
10
11
10
10
01
00
10
10
10
10
10
00
10
00
10
10
01
00
10
01
10
10
10
00
00
10
00
10
10
10
00
00
00
11
00
00
00
10
11
10
10
10
00
00
01
00
10
10
01
00
00
01
10
00
10
11
00
00
00
11
10
11
00
10
01
00
10
00
11
00
00
00
00
11
10
01
01
10
10
00
10
10
11
00
00
10
11
00
10
00
00
11
00
01
10
01
11
10
01
11
00
00
11
00
10
01
01
10
00
01
00
00
00
11
10
11
10
00
00
10
00
10
01
01
01
00
11
10
00
01
11
10
11
00
00
00
10
00
00
10
10
10
00
10
00
10
11
00
10
10
10
10
10
00
10
11
00
01
00
00
00
10
11
10
10
00
10
00
11
00
11
10
01
00
10
01
01
11
01
00
11
01
11
11
10
01
00
01
10
10
00
10
01
00
11
00
00
00
10
00
10
10
00
00
01
00
11
10
11
00
10
10
00
00
01
01
10
00
01
11
01
00
01
01
00
10
01
10
00
10
10
00
01
10
11
10
00
10
11
00
11
11
00
10
01
00
11
10
00
10
11
00
00
10
11
10
01
01
11
10
00
01
10
10
00
00
10
10
01
00
11
10
10
10
10
10
10
00
01
10
00
01
10
10
00
00
01
10
10
10
01
01
00
00
10
10
00
10
01
00
11
10
10
00
01
10
01
00
11
01
11
10
00
00
10
01
01
00
10
11
00
11
01
10
00
00
00
10
10
10
10
01
00
01
10
00
10
00
11
10
10
00
11
10
10
00
11
11
11
11
00
01
10
11
00
10
10
00
01
10
00
10
00
11
11
00
10
10
11
11
11
01
01
11
10
00
00
01
10
11
11
11
10
10
10
10
00
00
01
00
10
11
01
01
11
00
10
00
10
10
00
01
10
10
10
01
10
01
01
10
00
10
01
11
10
01
01
00
10
00
11
11
10
00
00
10
01
01
00
10
10
10
00
00
01
10
10
00
10
11
10
10
11
10
11
01
00
10
01
01
00
00
11
00
11
10
10
00
00
01
00
11
11
01
10
00
00
11
10
00
10
00
11
10
10
00
01
11
10
11
10
10
11
00
00
00
10
00
10
10
00
10
11
00
01
00
11
00
10
11
00
11
10
01
10
01
00
10
10
01
00
10
00
00
00
00
00
10
10
10
00
00
01
01
11
10
00
01
10
11
11
01
00
11
10
10
00
00
11
10
00
00
00
01
10
00
11
00
10
10
01
00
11
10
10
11
10
00
00
10
01
00
01
01
11
00
00
11
11
11
00
00
11
01
10
10
10
11
01
00
00
10
01
10
10
01
01
10
11
11
01
11
01
00
01
11
10
00
01
10
10
10
00
10
11
10
10
11
01
01
10
00
00
00
10
11
00
00
11
11
10
11
00
11
10
11
00
01
10
11
00
00
11
00
10
00
10
11
00
10
10
11
00
10
11
00
01
10
11
01
00
10
01
00
10
01
10
10
10
10
00
11
10
11
10
10
00
10
00
10
01
01
10
00
01
10
00
01
11
11
00
11
10
00
00
00
11
01
00
11
00
00
01
10
11
00
00
10
11
01
00
00
10
00
00
00
00
11
01
10
11
01
00
01
01
10
00
00
11
00
11
11
01
10
00
00
10
10
10
00
00
00
10
10
00
10
01
00
10
10
00
00
10
10
10
10
00
01
01
00
00
10
01
10
10
00
11
11
10
00
11
10
00
00
10
10
00
10
10
01
00
00
10
10
10
10
10
00
00
01
00
10
01
11
01
10
10
10
10
00
01
01
01
00
11
10
11
00
11
00
01
10
11
11
00
10
10
11
00
00
10
10
01
10
11
01
01
10
10
00
11
00
01
01
10
10
00
11
11
11
00
00
10
10
00
10
10
00
00
10
00
10
01
00
00
00
00
10
10
11
00
00
00
00
00
00
10
01
10
10
00
01
10
11
00
11
10
10
10
10
00
00
01
10
10
01
10
10
10
10
00
00
10
00
10
00
00
10
10
10
10
11
00
00
11
10
11
10
00
10
00
00
10
10
01
10
10
00
00
00
11
10
00
10
00
01
01
00
11
01
00
00
00
01
10
10
01
10
11
01
00
00
00
10
10
10
10
00
00
10
01
01
11
11
01
10
10
10
01
10
00
00
00
11
01
10
11
00
10
10
00
10
10
00
00
00
10
00
10
00
00
10
10
11
10
00
00
00
00
00
10
10
10
10
10
11
01
10
11
00
11
00
00
11
11
00
00
10
11
00
01
10
10
00
00
01
10
11
00
00
10
11
00
10
00
01
11
10
00
00
00
01
10
10
10
01
01
00
10
10
11
00
10
01
01
11
10
00
00
00
00
11
01
10
01
10
11
10
00
01
10
10
11
00
00
11
10
01
01
11
10
00
00
10
00
10
11
00
00
10
00
00
00
10
10
00
00
00
01
11
10
01
10
01
11
00
10
00
01
11
10
11
11
00
11
00
01
00
00
10
11
01
10
10
00
01
11
00
10
10
00
00
00
11
10
00
00
01
10
10
01
00
10
11
11
01
00
10
00
10
10
00
10
11
10
00
01
01
11
00
00
10
11
10
00
01
11
10
10
10
11
00
01
00
10
10
00
11
11
00
10
00
00
01
01
11
01
00
11
10
10
10
00
00
10
10
00
00
10
10
01
10
00
00
00
00
10
10
01
10
00
11
10
00
00
01
10
10
01
11
01
00
00
10
01
11
10
01
00
00
00
01
10
10
00
00
11
00
11
11
01
11
00
10
11
10
11
10
00
00
10
01
10
01
01
01
10
10
01
00
01
10
00
01
10
10
01
00
10
10
11
11
00
00
00
01
10
11
10
11
00
00
00
10
01
01
10
10
11
10
10
00
00
10
10
00
00
01
10
10
10
01
10
01
10
01
10
11
00
11
10
00
10
10
00
00
10
00
11
01
10
01
11
00
10
00
00
11
00
01
10
10
00
00
11
01
10
10
11
10
00
00
01
01
10
10
00
10
10
10
01
10
11
10
11
10
10
10
10
10
01
00
10
11
11
00
00
11
11
00
01
00
10
00
00
10
11
10
00
10
00
00
00
10
10
10
00
00
01
11
11
10
10
10
10
00
01
11
00
10
10
10
01
01
11
11
11
01
00
10
11
10
11
00
00
11
01
00
01
01
10
10
01
01
00
11
11
10
00
11
11
01
01
11
11
00
10
10
00
10
01
00
00
10
10
00
00
00
11
10
00
11
11
01
00
10
10
01
00
11
10
01
10
10
00
11
00
11
10
01
10
10
10
10
01
00
01
10
10
10
01
10
11
00
01
10
11
00
01
10
10
00
00
10
00
00
11
00
00
11
00
00
11
00
00
00
10
00
00
10
11
10
11
11
11
11
11
10
00
00
10
11
00
00
00
00
10
10
10
11
00
00
10
00
10
11
00
11
00
00
00
10
11
00
00
10
10
10
00
10
10
10
00
10
00
00
00
01
01
10
11
10
10
01
00
00
00
00
10
01
10
01
00
10
00
00
01
11
10
00
01
00
11
00
10
01
11
01
00
00
10
00
11
01
10
11
10
10
10
11
01
10
11
01
10
00
10
01
00
00
00
00
11
01
10
10
00
11
00
00
00
11
00
10
10
00
11
01
01
11
00
00
10
01
00
00
10
10
01
01
00
10
11
00
01
00
00
10
01
11
00
01
11
00
00
11
00
10
00
00
10
11
00
00
00
10
00
01
00
01
00
10
10
11
00
10
10
01
11
10
10
01
11
10
10
00
11
00
01
10
01
01
10
10
01
10
10
00
11
10
00
01
11
00
10
10
00
10
10
00
10
10
11
11
00
11
10
11
10
01
00
10
10
00
00
10
01
00
00
11
00
00
10
10
11
11
01
01
10
10
00
10
00
10
10
10
01
11
11
01
10
10
01
00
10
10
00
00
01
11
00
11
10
10
01
01
11
10
01
00
01
11
01
10
11
10
11
00
00
01
10
10
00
01
10
10
10
10
11
01
01
00
00
00
10
00
00
00
10
10
10
10
00
00
00
00
01
00
10
00
01
10
01
10
10
01
10
11
00
11
01
10
00
01
11
01
00
11
10
10
00
00
11
10
11
00
11
10
10
00
11
10
01
00
10
10
11
10
10
00
01
01
01
01
00
10
00
10
10
11
00
10
10
10
11
10
01
10
10
10
00
01
10
10
00
00
00
00
00
01
11
10
00
10
10
10
10
00
00
10
01
00
01
01
10
01
10
10
00
00
11
11
10
01
10
00
00
01
10
11
00
00
11
10
10
00
00
01
01
10
01
10
11
10
00
11
01
01
11
00
00
10
01
00
10
00
00
11
10
10
00
10
00
01
10
01
00
00
01
00
00
10
01
10
10
10
01
10
00
10
01
10
10
01
10
10
10
01
10
01
00
10
11
00
00
00
00
10
11
10
00
11
01
10
00
10
10
00
00
11
11
01
10
01
00
00
11
10
00
11
10
00
01
00
00
10
11
10
00
10
10
10
10
10
00
01
00
00
01
10
00
10
01
01
11
10
01
00
11
01
11
11
01
00
11
01
01
00
10
10
01
00
01
10
10
10
11
00
01
10
10
01
11
01
11
11
01
11
10
10
10
01
00
00
01
10
00
01
01
00
01
00
01
00
10
10
10
00
00
11
10
11
00
00
11
00
11
00
11
11
00
10
00
00
10
11
00
00
00
11
00
00
11
10
10
00
00
00
01
00
11
01
11
11
00
00
00
10
11
00
00
10
00
10
11
00
01
01
00
10
01
00
11
00
00
01
11
00
00
10
00
01
10
00
01
11
00
01
11
10
10
00
10
00
10
10
00
10
11
01
00
11
10
10
00
10
11
00
00
10
11
10
11
10
01
10
11
10
00
00
10
10
00
00
10
10
10
01
10
11
01
10
00
00
11
10
00
01
10
10
10
00
10
10
10
01
10
11
00
10
01
11
01
00
10
01
00
11
10
11
01
10
10
00
00
01
10
00
00
00
10
11
00
10
00
10
00
01
10
00
00
00
00
10
10
10
10
10
01
00
00
10
00
00
00
01
00
01
01
00
10
01
00
11
10
00
10
01
00
10
01
10
10
00
10
01
10
00
10
00
00
10
10
00
10
00
00
10
11
10
00
10
10
01
11
11
10
11
01
00
00
00
00
11
01
10
11
10
01
00
01
10
00
10
10
01
10
10
01
00
01
00
00
10
00
01
10
00
00
10
00
10
01
11
10
01
11
10
00
00
00
01
10
11
01
00
01
00
11
00
00
11
10
00
00
00
10
10
00
00
00
00
00
11
01
11
10
10
01
11
11
01
10
10
11
10
11
00
01
10
10
11
00
00
10
00
01
00
00
11
01
01
10
01
10
01
11
11
00
00
10
11
00
00
01
10
00
00
10
10
10
11
11
01
01
00
01
11
10
10
00
00
01
00
10
10
00
00
00
00
10
01
01
00
10
10
01
10
10
00
10
11
00
00
00
11
00
01
10
10
00
00
01
00
10
11
10
01
00
00
00
10
10
10
10
00
10
00
11
00
11
00
10
00
00
10
00
11
10
01
00
10
01
10
11
10
11
00
01
00
11
10
00
11
10
00
00
00
11
10
00
10
10
00
10
10
00
10
10
00
10
00
10
01
10
10
10
10
00
00
11
10
00
00
10
10
00
00
00
10
00
00
10
00
01
10
00
00
10
11
00
00
00
00
10
00
01
00
11
10
10
10
00
00
10
01
10
11
10
11
00
01
10
00
01
11
11
01
00
11
11
01
00
10
00
00
11
11
10
01
10
11
10
10
00
11
10
01
01
10
00
01
10
00
10
10
01
11
00
00
01
00
00
00
01
01
11
10
10
00
11
00
00
01
01
11
10
00
10
10
10
00
01
10
10
10
00
10
10
00
01
11
10
00
10
01
11
10
00
11
10
00
10
01
10
10
00
10
11
10
01
01
10
10
10
00
10
01
01
11
01
00
10
10
10
00
00
10
11
00
11
11
10
11
00
00
10
01
00
10
10
00
00
00
11
11
10
01
00
11
11
10
10
01
00
10
11
00
10
11
00
01
10
10
00
10
10
00
00
10
10
01
11
00
00
10
11
11
00
00
01
10
00
10
11
10
01
00
10
00
00
00
10
00
00
10
10
10
00
01
00
01
00
00
10
01
01
00
11
00
00
00
11
11
01
10
00
01
10
01
10
10
10
10
10
00
00
10
10
00
01
00
11
11
01
10
00
10
11
11
10
01
00
10
01
11
11
00
00
10
01
01
10
10
00
00
01
00
10
11
01
11
01
00
00
00
10
10
00
00
10
10
00
01
11
01
10
10
00
00
10
00
00
10
10
11
00
00
11
01
00
10
00
10
00
10
10
11
01
00
00
10
00
10
01
00
11
10
10
00
10
00
00
01
11
11
10
10
11
00
00
10
11
00
01
10
11
01
01
11
11
11
10
11
00
10
10
01
11
10
10
00
10
10
00
10
11
00
10
10
00
11
01
00
00
00
01
01
00
01
10
00
10
01
10
10
01
00
00
00
00
01
11
10
00
11
10
01
10
10
10
10
00
00
10
01
11
00
11
11
10
10
01
00
10
10
10
01
10
00
10
10
00
00
01
01
11
10
00
11
10
00
10
11
00
11
00
00
10
11
11
01
11
10
01
01
01
10
10
00
01
00
11
11
01
11
10
00
01
10
01
10
11
01
01
11
01
01
11
11
11
00
00
00
10
00
00
10
10
00
00
10
00
10
00
10
11
00
11
01
00
11
00
00
00
11
10
11
01
01
11
11
11
10
01
00
11
10
00
00
11
00
00
00
10
01
10
10
00
00
00
10
10
00
01
10
10
01
10
00
00
10
00
10
00
10
01
00
00
10
01
00
01
00
00
10
11
01
10
01
00
10
00
10
11
10
10
01
01
10
10
11
00
00
10
01
10
00
11
11
00
10
00
01
11
00
10
11
00
00
11
00
00
11
00
00
00
00
10
10
00
10
11
11
00
10
10
10
11
01
00
10
11
11
11
01
00
10
00
00
10
00
00
10
11
01
01
00
11
01
00
10
11
11
11
10
00
00
00
10
10
10
00
00
10
01
01
00
00
01
10
00
10
10
00
10
10
10
11
11
00
00
11
11
10
00
11
00
00
10
11
00
00
00
11
11
10
10
10
00
01
10
10
10
01
00
00
00
10
00
00
00
01
10
11
00
00
10
10
00
10
11
00
10
11
10
11
10
00
00
00
10
00
01
11
01
10
11
11
11
10
11
00
00
11
11
00
00
11
11
10
10
10
01
00
01
11
01
10
11
01
00
01
10
10
10
10
01
00
01
00
10
11
00
11
10
11
00
10
01
01
10
01
11
10
00
00
10
00
01
10
00
10
00
01
00
11
10
10
10
00
11
01
00
10
00
01
11
00
10
10
11
00
10
00
00
00
00
00
10
00
01
11
00
00
00
10
01
10
10
00
10
11
00
10
10
00
00
10
10
10
10
00
00
11
00
00
00
10
01
00
11
11
00
00
10
10
01
10
10
00
00
10
10
10
00
10
10
01
00
00
10
10
00
00
00
11
11
01
00
11
11
01
01
10
10
01
01
10
01
00
11
10
01
00
01
00
10
11
00
10
10
01
00
10
00
01
10
10
11
00
00
00
10
10
10
10
00
10
00
01
11
10
00
01
00
10
11
11
00
10
11
10
11
11
10
00
10
01
10
10
00
00
10
01
01
10
01
00
10
11
10
10
10
10
10
00
00
10
01
00
11
00
00
11
10
10
00
10
10
00
01
11
10
00
01
10
01
01
10
00
00
10
10
00
00
11
10
10
00
00
00
01
10
10
00
11
10
10
11
00
11
10
11
11
00
01
00
10
10
10
00
01
10
11
01
00
10
11
10
10
01
01
10
01
11
10
10
00
00
10
00
00
10
10
00
11
10
10
00
01
01
00
10
10
10
00
00
00
10
00
00
01
00
01
00
10
10
00
00
10
10
11
10
01
00
10
10
01
00
01
01
11
10
00
00
11
11
00
00
10
10
00
00
10
10
00
01
01
00
00
00
10
10
00
11
10
10
00
10
11
00
10
00
00
01
10
01
10
11
00
10
11
01
10
11
10
00
11
10
01
11
11
00
00
10
00
10
10
00
10
10
00
00
00
00
10
00
11
10
00
10
10
10
10
00
00
00
10
00
00
01
10
11
01
10
00
11
10
00
11
10
00
11
01
00
11
00
01
10
10
00
01
00
10
11
01
01
01
10
10
00
00
10
00
00
00
00
00
01
00
00
10
10
00
11
10
10
00
00
00
00
10
00
10
00
10
01
00
01
10
10
01
00
00
11
10
01
11
11
01
00
01
10
00
10
11
01
10
10
11
01
00
00
00
01
01
10
11
11
01
10
00
00
00
10
10
00
00
10
11
00
10
00
00
10
01
00
11
01
10
01
10
10
00
00
00
10
01
01
00
01
00
00
10
00
10
10
10
01
00
10
00
01
00
10
00
10
10
01
01
10
11
10
11
10
10
00
10
00
00
00
10
10
11
10
00
11
10
01
10
11
11
00
00
00
11
10
00
01
10
10
10
11
00
00
01
10
00
10
00
00
01
10
10
00
10
11
10
11
00
11
10
10
01
00
01
11
10
00
00
10
10
00
00
00
00
10
10
10
00
01
11
11
00
10
10
11
11
01
10
10
11
00
01
00
10
10
00
10
10
00
00
10
01
00
11
00
00
01
00
10
11
00
00
10
11
11
00
00
10
10
01
01
01
00
11
11
01
00
11
00
01
10
01
00
11
11
01
10
10
10
00
11
01
00
00
00
11
10
00
10
10
01
01
10
00
00
00
00
10
10
10
01
11
10
00
00
00
10
10
01
10
11
10
00
10
11
00
00
10
00
01
11
00
11
10
00
10
10
00
10
00
01
11
01
00
10
11
11
00
00
11
11
01
00
11
00
00
00
11
00
00
11
11
11
00
10
11
10
00
00
01
00
00
10
11
00
01
11
01
10
01
00
00
10
11
00
11
01
00
10
00
01
00
00
11
00
01
10
00
10
00
00
01
01
10
00
00
11
00
00
00
01
10
10
00
10
10
00
10
11
00
01
11
01
00
11
10
00
11
11
10
10
10
01
00
10
10
00
10
11
00
10
10
11
01
11
01
00
10
10
11
00
11
00
01
10
11
01
01
11
10
10
00
10
00
00
10
10
10
10
01
01
11
01
10
01
10
10
00
11
00
00
01
11
10
01
00
00
01
01
10
00
00
11
00
00
11
10
10
01
00
01
00
00
10
10
10
00
01
10
00
00
00
11
00
11
00
10
10
01
10
10
10
00
10
00
00
10
11
01
01
11
10
00
10
10
00
00
11
11
01
10
01
00
00
01
01
01
11
11
01
00
00
11
00
11
11
00
01
00
10
01
00
11
00
10
11
00
11
00
00
10
10
01
11
10
00
10
10
00
10
11
00
00
00
10
00
00
10
10
11
10
11
00
10
00
10
10
10
00
00
10
10
10
01
00
00
10
10
11
00
10
10
11
00
00
00
00
00
11
00
00
10
10
00
01
00
10
01
11
11
00
11
10
10
00
00
10
00
01
10
00
00
11
00
01
01
01
10
11
01
10
00
00
00
10
00
00
00
00
11
10
10
11
01
01
11
10
01
10
10
10
11
00
00
10
10
01
00
00
10
10
01
00
10
00
11
00
10
01
00
10
00
00
10
10
10
10
00
10
11
01
00
11
10
00
01
00
00
00
11
00
11
10
01
00
01
00
10
11
11
11
11
01
00
10
00
10
10
00
01
10
10
11
01
00
00
11
00
01
10
11
10
00
10
01
10
11
10
00
11
00
01
00
01
10
01
00
10
01
00
01
10
00
01
11
00
11
00
00
11
10
11
01
00
11
00
00
11
00
10
01
00
10
10
00
00
10
10
01
10
11
00
01
10
00
10
00
00
10
01
00
11
10
00
00
01
00
11
10
01
00
11
10
01
10
01
10
10
10
01
00
10
00
01
11
11
11
01
10
11
00
00
01
11
10
00
00
11
10
10
00
10
00
10
11
00
00
10
00
00
01
01
10
10
00
01
11
01
10
00
00
10
10
00
00
10
00
00
01
10
11
00
10
10
00
11
00
01
10
10
00
11
10
10
10
00
11
10
00
01
01
00
10
00
00
10
10
01
10
10
10
10
01
00
10
11
10
00
00
01
10
10
01
00
00
00
10
10
10
11
10
11
00
01
01
00
10
00
00
00
01
11
11
11
00
10
00
11
11
00
11
01
00
10
10
10
10
10
01
01
00
01
10
10
00
10
00
00
11
10
00
00
10
11
10
00
01
00
10
10
00
00
10
10
01
11
11
10
10
10
10
11
00
00
10
10
01
01
10
00
00
10
10
00
00
10
11
11
01
01
11
00
10
10
10
00
00
10
11
10
10
11
00
10
10
01
10
10
00
00
01
00
10
01
10
10
11
00
00
00
10
00
00
11
10
00
00
00
10
10
10
10
10
00
10
10
11
10
00
01
01
10
00
11
11
00
00
11
00
10
00
01
00
00
10
00
10
10
11
00
01
10
01
10
01
10
01
01
10
10
10
10
10
10
01
01
10
10
11
10
01
00
10
10
00
00
01
00
10
10
00
11
11
00
01
10
11
00
11
00
10
11
10
01
00
10
00
10
10
11
11
10
11
10
00
10
00
01
10
01
00
10
10
11
11
01
10
10
10
00
00
11
10
01
10
00
10
10
00
01
10
10
10
10
00
11
00
10
11
01
10
10
00
00
00
10
10
01
00
11
10
11
10
00
10
11
01
01
01
10
10
11
00
01
10
10
00
00
11
10
00
00
00
10
01
10
11
00
01
00
00
10
00
10
11
11
11
10
00
00
00
11
10
01
00
11
11
11
10
00
00
00
00
10
10
01
11
11
11
00
00
10
01
01
00
10
11
00
00
01
11
01
10
10
00
01
00
01
00
00
00
11
10
10
10
00
01
10
10
01
00
10
10
00
10
00
00
10
00
01
00
10
11
00
11
10
01
01
10
10
10
11
01
10
00
01
10
10
10
01
01
10
10
00
10
10
00
10
11
11
11
00
10
10
00
10
11
00
00
01
10
01
00
00
10
00
00
11
01
10
10
00
00
00
10
00
01
00
11
11
11
10
11
10
01
11
11
00
01
01
11
10
11
01
10
00
00
10
11
11
01
11
10
10
11
10
00
00
00
00
10
10
10
10
10
00
00
00
00
01
00
11
10
10
10
10
00
00
01
01
00
11
10
10
00
00
10
10
01
00
11
10
11
00
00
10
11
00
10
10
01
10
10
00
11
11
10
10
00
01
00
01
10
01
00
00
01
11
10
00
10
00
01
11
11
10
01
10
00
01
11
00
00
00
10
10
01
11
10
01
11
10
00
00
01
11
10
00
11
00
10
00
10
00
10
10
01
11
01
10
00
11
00
10
10
00
10
10
11
10
00
01
11
01
00
10
10
00
00
00
00
10
10
00
10
00
00
11
00
01
11
10
01
11
00
11
00
00
11
00
01
00
01
10
00
00
11
11
01
00
10
11
10
00
00
00
10
00
10
11
00
00
00
01
10
00
10
11
10
00
00
10
11
00
10
00
10
00
00
10
01
00
00
00
10
11
00
11
00
11
10
00
11
00
01
10
10
00
00
10
10
01
10
00
00
01
00
00
10
10
10
00
00
00
00
10
00
10
00
00
00
10
10
11
00
00
01
00
01
00
10
10
00
10
00
01
10
10
00
11
10
00
00
00
11
11
00
10
01
10
00
10
01
01
10
10
10
01
10
11
00
10
01
00
00
00
10
11
11
01
00
10
00
10
10
01
10
10
10
01
10
00
11
11
00
10
00
10
10
01
00
00
00
10
10
00
01
01
10
10
10
11
11
10
11
00
11
10
00
00
00
00
10
10
00
10
10
00
10
00
00
10
10
00
00
10
11
10
00
11
01
11
00
01
11
11
00
10
11
11
01
00
11
01
11
10
00
10
11
10
00
00
10
00
01
00
10
10
00
10
11
11
00
00
11
10
10
01
10
10
00
10
10
00
00
10
10
10
00
10
10
00
00
10
10
00
01
10
01
11
10
00
00
00
11
10
01
11
10
00
11
11
10
10
00
00
10
11
10
01
01
10
01
01
00
10
10
01
01
11
01
11
00
00
10
11
11
00
01
00
10
10
11
10
01
01
01
00
11
11
00
11
10
01
00
10
10
01
00
01
00
10
01
01
10
11
00
00
11
00
00
10
01
00
00
01
00
11
10
00
11
00
00
11
11
01
01
10
11
10
10
10
00
00
10
00
00
01
10
00
11
01
00
00
00
10
11
11
00
11
00
00
10
00
11
01
10
01
11
10
00
00
00
10
01
00
00
10
00
00
10
01
01
00
10
11
00
00
00
11
11
10
01
01
10
01
00
10
10
00
00
00
01
00
11
10
11
10
10
01
00
10
11
10
01
00
00
00
11
10
10
00
00
10
10
10
11
01
01
01
00
11
00
01
10
00
00
10
00
00
10
10
00
01
01
10
11
00
10
01
01
10
01
10
00
10
00
00
11
11
01
01
00
10
10
10
10
10
00
01
00
11
10
01
10
10
00
01
10
10
00
00
10
00
00
10
10
00
00
11
11
01
00
10
10
01
10
10
00
10
10
11
00
00
00
01
00
00
10
10
00
11
10
00
11
11
00
11
11
00
00
11
10
10
00
00
00
00
10
00
00
10
00
10
00
11
10
10
10
10
00
00
11
11
10
01
00
01
00
11
10
10
00
11
00
11
01
01
00
00
00
10
11
00
00
11
01
01
00
10
11
10
01
00
00
11
00
00
10
10
00
00
00
10
00
11
10
11
00
00
10
10
01
10
10
00
00
00
00
11
01
10
10
01
10
00
11
00
01
00
11
11
00
00
10
10
01
00
11
00
00
10
10
01
01
00
11
10
00
10
11
00
10
10
01
10
01
10
01
10
01
10
00
00
10
00
01
10
01
10
10
00
01
11
00
10
10
01
00
10
00
00
01
11
00
00
00
00
10
00
10
10
10
00
00
01
10
01
00
01
01
10
00
10
10
11
00
00
00
10
00
00
10
01
00
11
11
01
00
11
01
00
00
00
10
11
10
10
00
01
10
00
00
10
10
01
10
01
00
10
10
01
00
10
00
01
11
10
11
11
00
10
00
01
10
00
00
10
01
10
10
00
00
00
11
00
10
10
00
00
11
10
11
10
10
10
00
01
00
10
10
11
10
00
10
10
00
01
10
00
00
11
10
00
00
00
10
11
10
00
10
00
00
00
00
10
10
10
00
00
11
00
00
00
10
10
00
00
10
10
10
00
11
00
11
00
10
10
01
10
00
01
10
10
11
01
01
10
11
01
00
00
10
11
01
00
10
00
01
10
11
00
10
11
00
00
01
01
10
11
10
10
00
01
00
01
00
01
00
00
00
01
00
10
00
00
01
10
01
10
10
00
00
00
10
00
10
00
01
00
01
01
00
10
01
11
00
10
00
10
10
00
10
01
11
11
00
00
01
10
00
00
11
11
00
01
11
10
10
00
00
11
00
01
10
00
10
11
11
01
01
10
00
10
01
10
00
00
11
10
11
11
11
00
10
10
01
10
11
10
11
01
01
00
10
01
00
01
10
01
10
11
00
00
11
00
01
11
10
00
10
11
00
10
10
01
00
11
11
00
01
11
01
00
00
10
10
00
00
10
11
10
01
01
11
00
00
10
00
00
10
11
00
01
10
10
01
10
10
00
01
00
10
01
11
10
10
00
01
00
00
10
11
01
10
10
00
11
10
10
00
00
11
01
01
00
01
10
00
11
11
11
00
01
10
10
00
00
00
00
10
11
10
00
00
00
11
00
00
01
00
00
11
00
10
01
00
10
10
10
00
01
10
10
00
11
10
00
00
01
01
10
00
10
10
00
00
01
10
10
01
10
10
01
00
11
01
10
10
01
00
10
10
01
10
00
00
10
11
00
00
10
00
01
10
01
00
11
11
00
10
10
11
11
10
00
10
00
10
11
00
00
00
11
00
00
01
10
10
11
00
00
10
10
10
10
00
10
11
10
00
10
00
00
10
11
10
00
10
00
11
00
10
10
11
00
01
00
10
11
00
00
11
01
00
10
10
11
00
00
11
10
00
00
00
10
00
11
00
10
10
01
00
01
00
11
01
00
01
00
10
10
00
10
00
00
11
00
11
00
00
11
11
11
01
00
10
00
11
00
00
11
10
01
01
00
00
10
11
01
00
10
10
00
01
10
11
11
11
01
00
00
10
00
00
10
01
00
00
10
01
00
10
00
01
01
11
01
10
00
10
00
01
00
10
11
00
01
10
11
00
11
00
01
00
10
01
01
11
00
01
01
11
01
11
11
00
00
10
10
10
00
00
11
01
10
00
01
10
10
00
01
11
01
10
11
00
11
10
01
01
10
10
00
01
10
01
00
10
01
11
11
00
10
10
10
01
11
11
00
01
10
11
00
00
11
00
01
10
00
01
00
10
00
10
10
00
01
10
10
01
10
00
01
01
10
10
00
00
00
11
01
11
10
10
10
00
01
00
01
11
10
10
10
10
01
10
00
01
10
10
10
00
11
10
10
00
01
10
11
10
00
10
10
10
01
10
10
11
00
00
10
10
00
00
01
10
10
00
00
10
11
00
00
11
00
00
10
00
10
00
00
10
00
00
11
10
11
00
00
00
01
01
00
10
10
10
01
11
01
10
11
00
10
10
01
00
10
00
01
11
01
01
01
10
00
01
01
10
10
01
01
10
10
10
01
00
00
00
10
00
00
11
10
11
10
00
00
10
11
01
00
10
10
10
01
10
11
00
00
11
00
10
10
10
10
10
01
00
01
10
00
10
10
10
00
00
10
10
10
00
00
10
10
01
11
10
00
10
10
11
01
00
10
00
00
10
10
11
01
01
00
10
10
01
11
10
00
00
01
00
01
10
10
11
00
01
00
01
10
00
10
11
10
01
00
01
01
10
01
10
00
00
10
00
10
01
00
00
10
01
00
11
00
00
10
00
01
00
11
11
10
10
10
00
00
00
10
00
00
11
00
01
10
00
00
10
00
11
00
00
01
10
11
01
10
11
01
10
10
10
00
00
00
01
10
00
11
10
00
11
01
00
11
10
01
01
11
11
01
00
10
11
00
00
01
10
10
00
00
10
11
00
01
00
01
10
10
10
00
10
00
01
10
11
11
00
00
00
01
11
00
00
10
01
00
01
10
10
00
01
00
11
11
00
10
10
10
10
11
00
11
11
00
10
00
00
11
10
00
01
10
10
00
01
11
10
00
01
00
10
10
01
10
10
10
10
00
00
11
01
00
00
01
01
11
10
11
10
01
00
11
10
01
00
10
10
00
00
10
01
00
10
01
10
11
11
10
01
01
00
00
00
10
10
10
10
01
10
10
10
01
11
11
10
00
00
11
00
00
10
10
00
10
00
00
01
00
01
01
01
00
01
01
00
00
11
10
11
11
01
11
01
10
10
10
00
00
10
00
01
10
10
10
10
00
00
00
10
11
01
10
11
11
10
01
10
10
10
11
01
11
11
10
00
01
11
00
00
00
00
01
00
00
00
11
00
00
10
10
10
01
10
10
00
11
11
11
00
01
01
10
00
10
10
00
00
11
01
10
11
01
00
10
10
11
00
10
00
01
00
10
10
10
10
10
10
01
11
11
00
10
10
10
11
10
01
01
11
00
10
10
01
00
01
10
10
10
10
10
10
00
00
10
11
11
00
10
10
00
10
00
10
10
00
11
01
01
11
11
10
10
01
01
00
10
10
00
10
10
10
00
01
10
10
00
11
10
01
00
11
00
00
01
10
00
01
01
01
00
10
11
11
00
11
10
00
01
01
00
01
00
10
01
10
10
10
11
00
00
10
10
00
00
01
10
01
00
00
10
00
00
10
10
00
01
10
10
10
11
01
01
10
10
00
00
01
10
10
01
00
11
00
01
11
00
10
00
10
11
10
00
00
10
00
00
10
01
00
11
10
10
11
10
11
11
00
00
10
10
01
00
10
11
11
10
11
00
00
10
10
10
01
11
11
11
10
00
10
00
00
00
10
11
10
10
01
01
00
01
10
10
10
00
01
01
00
10
10
00
00
10
01
00
11
10
10
10
11
00
10
10
11
01
01
00
00
11
01
00
10
10
00
11
00
01
00
11
10
01
00
00
00
10
00
00
01
10
11
00
10
10
10
11
00
11
10
10
01
10
00
00
00
10
11
01
00
10
11
00
01
00
11
10
00
11
00
10
10
01
10
11
00
00
10
01
01
01
00
11
11
00
00
00
00
10
00
01
10
01
00
00
00
10
10
10
10
01
11
10
11
00
00
10
00
00
10
00
00
11
10
01
01
00
10
00
10
11
10
10
00
00
01
11
00
00
11
01
10
00
11
10
01
00
01
10
10
00
10
01
00
00
00
01
01
01
11
10
11
00
01
10
11
10
01
00
00
01
10
00
00
11
10
10
10
00
00
01
10
00
00
00
01
10
00
10
10
10
10
01
11
00
01
00
11
00
01
00
00
10
00
00
11
01
00
00
10
10
01
10
10
00
10
10
11
11
00
10
01
00
01
00
11
00
01
11
00
01
00
00
11
00
00
01
10
10
11
00
11
10
11
00
00
10
11
11
00
00
11
10
01
10
00
00
10
10
10
00
01
00
00
10
11
01
00
01
10
10
10
00
00
00
11
10
10
00
01
10
00
11
11
00
10
11
01
10
00
00
00
00
10
10
00
11
11
01
10
10
01
11
11
00
11
10
10
00
10
00
01
11
10
00
00
00
10
01
00
10
10
00
00
00
10
11
10
10
10
00
00
10
01
01
10
00
00
01
10
01
10
11
00
00
00
00
01
10
10
10
00
10
11
00
10
11
00
00
11
00
01
10
11
00
10
00
00
10
10
10
01
01
00
10
00
10
00
00
10
10
00
10
01
00
10
10
01
00
00
00
11
10
10
00
01
01
00
11
10
10
01
00
10
11
00
00
10
00
00
01
11
10
11
00
10
11
00
10
00
10
10
00
00
00
10
01
01
00
11
11
00
11
00
00
10
11
00
10
10
00
11
00
11
10
00
00
00
00
00
11
10
00
10
11
10
00
01
11
00
11
10
00
11
00
00
10
10
00
00
10
10
10
11
01
00
00
10
10
01
10
00
10
11
00
00
01
10
11
01
11
00
11
10
01
01
00
10
00
10
11
00
11
01
00
01
01
11
11
01
00
10
10
01
00
10
11
00
11
10
10
10
00
00
10
11
00
11
11
10
01
10
00
00
11
10
01
00
10
00
10
00
10
00
01
10
00
10
10
11
10
01
00
11
10
10
10
10
10
00
00
01
11
00
00
10
00
11
10
10
00
00
01
00
01
10
01
01
00
00
10
10
00
10
10
00
00
00
10
00
00
10
01
10
00
00
11
11
11
10
00
11
10
11
00
01
10
00
11
10
11
00
00
10
11
00
10
11
00
00
00
11
00
00
01
11
10
00
10
11
00
11
00
01
01
00
00
10
01
10
11
00
00
10
00
00
11
10
00
10
11
10
11
00
00
10
10
00
11
00
10
00
00
10
00
00
11
01
10
00
01
11
01
00
10
10
00
00
11
10
00
00
10
00
10
10
10
10
11
01
01
00
00
11
10
01
10
10
00
00
11
00
00
11
10
10
10
00
11
00
00
10
01
10
01
01
00
10
11
00
01
00
11
10
00
10
10
00
00
10
00
10
11
00
10
10
00
01
11
01
10
10
10
11
10
10
00
00
11
11
00
10
10
11
10
11
10
00
10
10
10
10
00
01
00
11
00
00
10
10
00
00
00
10
00
00
00
10
11
00
01
11
10
01
00
10
10
00
00
01
01
11
00
00
00
10
11
00
01
10
10
00
10
10
00
11
00
00
11
01
11
00
00
10
11
10
00
10
11
00
10
01
00
11
00
10
10
10
10
00
00
00
11
10
11
10
00
00
00
00
10
00
00
10
11
10
10
10
00
10
10
00
10
01
10
11
10
11
01
00
01
00
10
10
10
00
10
01
01
10
11
00
01
11
00
10
10
00
11
00
01
00
10
11
00
10
10
10
10
00
00
00
10
10
01
10
01
10
10
10
10
01
00
11
10
10
01
10
10
01
00
10
10
00
01
10
01
00
11
10
00
00
01
10
11
01
00
01
01
10
10
00
01
01
00
11
10
11
00
01
00
00
00
00
10
10
10
00
10
10
10
01
10
10
10
01
01
10
10
00
10
10
00
11
10
01
00
00
10
10
01
01
10
10
10
00
10
10
00
10
00
01
10
10
01
10
11
10
10
00
00
01
01
11
00
10
10
01
10
01
00
10
10
11
10
11
01
10
00
00
00
10
11
01
00
00
00
11
10
10
01
10
11
01
10
00
01
10
00
10
10
00
11
10
00
00
00
00
11
01
10
10
11
00
00
11
11
11
11
10
01
01
00
01
11
11
00
00
10
11
11
01
10
10
00
00
00
11
10
00
10
01
00
01
11
10
01
10
10
00
01
10
10
10
00
10
11
10
00
00
00
10
10
10
00
00
10
00
00
01
10
11
00
00
10
10
11
10
00
00
00
00
10
10
11
00
00
10
11
00
10
01
00
00
10
00
10
00
00
10
00
10
10
00
01
10
10
01
11
10
10
10
01
10
01
00
10
00
00
10
01
00
11
10
11
00
10
10
01
00
11
00
00
00
10
00
11
01
10
10
01
10
10
10
00
01
00
10
10
10
10
00
00
11
00
11
10
11
00
00
01
00
10
00
00
10
00
11
00
10
01
10
10
10
00
00
10
10
01
11
10
10
01
11
11
10
01
01
11
11
11
10
00
01
00
01
11
10
01
00
00
10
11
00
10
11
00
10
11
01
00
10
00
00
11
10
00
00
11
10
10
10
11
11
10
10
00
11
00
10
00
10
10
00
00
00
10
11
11
00
00
00
01
11
01
10
11
00
10
00
00
10
11
01
11
10
10
00
10
00
10
10
01
11
10
11
11
00
11
10
11
00
01
00
10
11
00
00
00
10
11
00
00
00
10
00
01
10
11
10
11
00
00
00
11
00
00
01
10
00
11
01
00
00
10
11
00
10
00
00
01
11
00
10
00
01
00
00
10
10
01
00
01
10
10
00
10
01
10
00
00
11
01
00
10
11
10
01
10
00
11
11
10
01
10
10
10
00
00
00
10
11
01
10
00
11
11
11
01
00
10
10
10
00
01
00
10
10
10
01
10
00
00
01
10
00
10
10
10
10
01
11
00
00
10
10
10
11
00
01
11
00
01
00
01
00
11
00
00
10
10
10
00
00
10
00
10
11
10
00
01
01
10
11
01
00
10
10
11
11
11
00
00
00
11
11
10
11
00
00
11
10
01
00
01
11
11
00
11
10
00
11
10
01
00
10
11
10
00
01
10
10
00
00
10
01
01
11
01
11
11
10
10
01
11
11
11
01
00
00
00
10
00
00
11
11
11
10
01
00
00
11
11
01
00
10
11
01
00
10
11
00
11
01
01
00
00
01
10
01
00
11
00
00
11
10
00
00
00
10
00
00
11
10
01
10
10
11
11
00
00
00
10
10
10
00
00
10
10
10
01
00
10
00
00
10
00
10
10
10
10
11
00
00
10
00
00
10
00
10
10
10
00
00
00
10
11
10
11
00
01
10
00
00
10
10
00
01
11
00
10
00
10
10
01
00
01
01
01
10
01
00
10
01
01
10
11
00
10
10
10
10
10
00
00
10
01
00
10
10
00
00
00
10
10
11
10
11
00
10
10
00
10
00
11
10
00
11
01
10
00
10
00
10
11
10
10
00
01
11
01
00
10
00
00
10
11
11
00
01
11
10
11
00
00
11
00
11
01
00
01
01
11
00
10
11
10
00
00
11
11
10
10
10
10
01
10
00
01
10
01
00
10
00
10
10
11
10
01
01
10
00
00
11
10
10
01
00
11
10
10
11
10
01
00
01
10
00
00
10
00
00
11
00
11
00
10
11
01
11
11
00
00
00
10
11
01
01
10
00
10
11
01
10
10
11
10
01
01
00
10
00
11
10
00
01
00
11
10
00
00
10
10
00
10
10
01
00
00
00
00
10
00
00
10
11
10
00
00
10
10
10
00
11
10
10
11
01
11
00
11
11
00
00
10
00
00
01
10
00
10
01
00
10
01
00
00
11
10
01
00
00
10
00
11
10
01
11
00
00
00
10
10
10
00
00
11
00
01
10
10
01
01
11
00
01
00
10
10
00
10
00
00
11
10
01
00
00
10
01
11
10
10
10
10
01
00
00
00
10
10
01
01
01
10
11
01
10
00
00
10
10
11
00
01
10
10
00
10
00
11
00
10
11
01
10
00
11
00
10
00
01
10
00
00
10
01
00
11
11
00
01
00
10
10
00
00
10
01
01
10
01
11
11
00
10
00
00
10
10
10
10
00
11
10
00
10
11
01
10
00
00
10
10
01
01
11
10
10
01
10
10
00
00
00
11
00
10
10
00
11
01
11
01
10
10
10
11
00
10
00
10
11
00
10
01
00
00
10
11
00
11
10
10
01
00
10
01
01
10
00
00
11
01
10
11
10
01
00
01
01
00
00
10
01
00
11
10
01
00
11
10
10
11
00
10
00
11
10
00
01
10
01
10
11
00
01
11
10
01
00
10
10
00
01
10
10
00
00
10
10
01
00
10
10
00
10
10
01
00
01
10
00
01
10
10
11
01
00
00
11
00
01
00
01
10
11
00
11
00
10
00
01
11
10
11
00
10
01
01
10
00
11
10
00
10
00
00
00
11
10
11
10
10
10
10
10
10
10
01
01
10
01
11
11
00
00
11
00
10
10
00
00
10
01
10
01
11
01
10
00
11
00
11
10
00
10
11
00
10
00
11
10
00
10
10
00
11
00
10
10
10
01
00
10
01
10
00
10
10
00
11
10
00
00
10
01
01
10
01
11
11
11
10
01
00
00
11
10
10
00
10
01
00
11
11
00
00
11
00
01
10
00
01
00
10
01
00
10
01
00
10
00
10
11
01
00
01
10
10
00
10
01
11
10
01
01
01
00
00
10
11
00
10
10
00
11
11
10
11
00
10
00
10
11
10
10
11
10
00
11
00
10
00
01
00
01
10
01
01
11
01
11
11
00
00
11
10
01
00
10
10
01
00
10
00
00
00
00
11
10
11
11
10
10
10
10
10
00
00
10
10
00
00
01
01
00
00
00
11
11
00
10
10
10
00
01
00
01
00
10
00
00
10
11
11
00
10
00
00
11
10
11
10
11
10
11
10
10
01
00
01
10
10
00
00
10
11
00
00
10
10
01
10
10
10
00
01
01
10
01
10
00
10
11
00
00
10
00
00
00
00
10
01
01
00
00
10
10
01
00
11
01
11
10
11
10
00
11
11
10
01
10
01
10
00
00
10
00
00
00
00
10
11
10
01
10
11
10
11
00
01
11
11
00
00
10
10
00
00
10
10
00
01
01
00
11
01
00
00
01
10
00
10
10
00
10
00
00
00
00
00
00
10
11
00
10
10
00
10
00
00
00
00
10
01
11
00
00
01
11
11
01
10
00
00
10
11
11
00
00
10
11
01
01
10
11
11
00
00
10
00
00
10
10
01
10
10
00
11
00
10
10
00
10
10
11
10
01
10
01
11
01
00
11
10
00
11
10
01
00
00
10
01
01
10
10
00
11
00
00
10
10
00
01
11
01
10
00
00
10
10
00
01
11
01
10
00
00
10
00
10
00
00
01
10
11
10
10
11
00
11
11
10
01
01
10
00
00
10
00
10
10
00
11
11
11
11
00
10
11
11
01
10
01
01
01
11
11
00
10
11
00
00
10
10
01
00
11
00
10
01
00
01
10
00
01
10
00
00
11
11
11
00
11
10
10
01
01
10
10
10
01
11
10
00
00
10
00
10
11
00
10
10
00
11
01
11
10
10
10
00
11
11
11
00
00
10
10
00
11
00
00
11
10
00
01
10
00
11
11
00
01
01
11
01
00
10
11
00
00
10
11
11
01
11
10
00
01
00
10
11
00
10
11
00
00
00
00
10
01
10
11
01
11
00
10
00
10
01
11
01
00
10
00
10
00
01
10
10
00
00
00
10
10
10
00
01
10
11
10
10
01
01
11
00
00
00
10
10
00
10
00
11
10
10
10
01
00
10
10
00
10
10
10
00
10
01
10
10
00
00
01
00
01
00
00
10
00
10
11
10
00
00
10
10
00
10
00
10
01
01
10
10
11
01
00
10
10
01
11
10
01
11
00
00
00
01
00
11
11
10
10
10
10
01
00
10
01
11
01
10
01
00
11
11
10
10
00
00
01
10
10
11
00
00
11
10
00
11
00
10
10
01
01
00
11
11
00
01
10
01
10
10
01
01
00
11
00
11
01
10
10
00
01
11
10
00
00
00
11
01
11
10
10
10
10
10
10
00
00
10
00
01
01
00
00
00
01
10
11
11
01
10
10
01
10
11
01
10
10
00
10
11
00
00
10
00
10
10
10
00
10
10
01
10
00
10
10
11
00
00
10
11
00
00
00
01
10
00
00
00
11
00
00
10
00
10
01
00
10
11
10
01
01
10
11
11
00
00
00
10
11
10
00
00
01
01
10
01
10
10
00
11
00
01
10
10
00
11
10
11
11
10
10
11
10
11
10
01
00
10
10
00
10
00
00
10
11
11
00
11
01
01
00
00
11
00
01
10
10
00
11
00
10
00
00
10
00
01
00
00
00
10
10
10
01
00
01
01
10
10
00
00
10
10
01
10
01
00
00
00
01
00
11
00
00
10
11
00
01
11
10
01
10
11
00
10
11
10
11
00
10
00
10
11
00
00
00
10
11
10
10
00
11
01
00
10
10
00
01
01
01
01
00
10
01
10
10
00
01
00
00
11
00
01
01
11
10
00
11
10
01
00
00
10
10
01
10
10
00
10
11
10
00
00
01
10
10
10
00
01
00
00
10
00
00
00
11
10
01
10
10
10
10
01
11
00
01
10
01
01
00
00
10
00
01
01
10
10
01
01
10
10
00
00
11
00
00
10
10
10
01
10
10
01
00
01
10
10
00
10
10
10
10
01
11
00
01
01
10
00
10
11
11
10
10
10
00
00
00
00
00
11
00
00
00
11
00
00
10
10
10
00
00
10
10
10
10
01
00
11
01
00
10
10
00
11
00
11
00
11
10
01
10
11
01
00
10
11
01
00
11
11
00
10
11
01
10
10
00
10
01
11
00
00
10
01
00
01
00
11
10
00
00
10
00
00
00
10
10
10
10
11
10
00
01
10
00
01
01
11
00
10
11
11
11
00
01
10
10
00
00
10
00
01
11
10
10
00
10
11
10
00
11
00
10
00
00
10
10
11
00
00
10
00
00
00
10
11
10
10
01
00
01
00
10
11
00
00
10
01
00
10
10
00
10
10
10
00
10
00
11
00
00
10
10
01
10
01
01
00
01
11
00
00
11
00
01
10
10
10
11
10
00
10
10
10
01
11
01
10
10
01
10
01
10
01
11
10
10
10
00
01
00
11
11
01
11
10
10
01
00
11
01
11
11
11
01
00
00
10
00
10
01
01
10
00
11
01
00
10
10
01
00
00
00
10
10
11
01
00
10
00
01
00
10
01
11
01
11
11
01
00
00
11
11
00
00
00
11
10
00
00
01
10
10
11
00
10
01
00
10
00
01
11
10
10
00
00
10
00
10
00
10
00
10
10
01
00
11
10
11
00
10
00
00
11
10
01
00
10
00
00
00
01
00
10
00
10
11
11
01
00
10
10
01
00
11
10
01
01
10
10
00
01
01
10
11
11
00
01
10
01
10
10
00
00
10
10
10
01
00
01
10
00
10
01
01
00
11
10
11
01
01
11
11
00
01
01
10
01
00
00
10
10
01
11
10
01
10
00
01
01
11
01
00
10
11
01
01
10
00
01
11
01
10
10
00
10
10
01
11
10
01
00
10
00
00
11
10
00
01
10
00
00
00
00
10
10
10
11
00
10
11
01
01
11
11
10
00
01
00
00
00
10
10
00
10
11
10
01
01
01
00
01
00
10
10
11
10
00
00
00
10
01
11
10
00
00
10
10
10
00
00
00
00
00
11
00
10
10
10
11
11
00
00
11
10
01
00
00
00
10
00
01
10
10
11
10
00
00
01
00
01
00
01
11
00
00
10
10
00
10
11
00
01
00
10
10
01
00
11
00
00
10
00
10
00
11
10
01
01
11
00
11
11
00
10
10
00
00
01
10
10
10
00
01
10
01
01
11
10
01
00
11
10
10
10
11
00
00
00
10
01
10
00
00
11
01
10
10
10
00
00
10
10
01
00
10
00
00
01
00
10
11
00
00
00
10
00
00
00
00
00
01
10
00
00
10
01
00
01
11
11
01
01
11
01
10
10
00
01
10
10
00
00
10
10
10
10
11
00
10
11
10
01
00
10
10
01
00
00
01
10
11
01
00
10
00
10
11
10
10
11
11
10
01
11
01
00
11
00
00
11
10
10
00
11
10
00
10
10
00
01
10
10
00
00
11
00
10
10
11
10
10
10
11
11
01
11
00
10
10
10
01
00
00
10
11
00
01
01
10
00
10
10
11
00
10
00
00
11
00
10
01
10
01
01
10
00
10
10
10
00
00
10
11
11
10
01
01
00
00
01
10
10
10
00
10
00
10
10
00
00
00
10
00
01
00
01
00
10
10
10
10
00
01
01
11
00
10
10
00
11
00
10
11
10
00
01
00
11
01
11
00
00
10
01
11
11
01
00
11
10
00
11
10
00
00
10
11
10
01
00
10
10
10
10
11
00
00
10
00
00
10
10
00
10
10
00
00
11
00
00
00
10
10
10
10
01
10
11
00
10
00
01
00
11
00
01
01
10
10
10
00
10
10
01
01
00
11
00
10
10
11
10
10
00
01
00
01
10
00
10
10
10
00
10
00
10
00
00
11
00
11
11
10
00
00
01
01
00
10
10
01
11
10
10
00
10
10
10
10
00
01
10
01
00
00
10
00
00
00
00
10
00
01
01
11
11
00
10
01
01
11
00
10
00
00
10
01
00
10
11
10
01
10
10
10
10
10
11
11
00
00
01
10
00
10
11
00
10
10
00
11
10
00
01
11
11
01
10
00
10
00
00
11
10
01
00
11
01
10
01
10
01
10
10
00
10
00
00
10
10
10
10
01
00
11
00
01
10
11
10
10
11
01
10
10
00
00
10
00
10
10
00
11
01
01
10
00
01
11
01
00
11
10
10
10
01
00
00
10
11
10
00
10
01
00
00
11
10
00
10
10
00
10
00
01
10
00
10
10
00
00
01
10
01
10
01
00
10
00
01
11
11
10
10
00
10
10
10
00
10
00
00
01
10
00
10
10
01
00
11
00
10
10
10
10
10
01
01
00
10
10
10
00
01
00
11
11
10
10
00
10
11
10
01
00
10
11
01
10
00
00
00
10
10
00
01
10
11
01
01
00
10
10
10
00
00
10
11
00
01
00
00
11
00
00
10
10
00
11
00
00
11
00
11
10
11
00
00
10
01
10
00
11
00
11
00
10
10
11
10
00
11
10
11
10
01
11
11
10
01
00
11
01
01
00
10
00
00
00
11
11
11
01
01
01
00
00
10
00
10
10
01
00
01
01
11
11
00
10
00
10
10
00
10
10
01
01
11
00
00
00
00
00
00
00
00
11
01
10
11
01
11
00
10
10
10
11
00
01
11
10
00
10
01
00
00
10
11
00
00
10
10
00
10
10
10
10
10
10
00
00
10
10
00
00
10
10
10
00
00
00
00
00
01
10
00
01
11
10
10
00
00
10
11
10
00
01
01
10
10
00
10
10
01
11
00
00
10
11
11
00
11
00
00
10
10
10
00
10
10
01
10
11
10
00
10
00
10
10
10
00
10
11
00
10
01
11
00
00
10
01
10
00
01
11
01
00
01
00
01
01
10
10
00
11
10
00
01
00
00
11
10
10
01
00
10
00
11
10
11
00
11
00
10
00
10
10
01
01
10
00
11
10
11
00
00
00
10
10
00
00
10
10
11
10
00
01
10
00
10
00
11
00
01
10
11
00
11
00
00
11
10
10
01
00
10
00
00
10
00
10
10
10
10
01
10
00
00
00
00
00
00
11
00
00
11
00
00
11
01
00
10
10
10
00
00
10
01
10
00
00
10
00
10
10
00
10
11
10
00
00
11
10
10
11
10
10
00
01
00
01
10
10
10
10
00
00
11
10
00
00
10
11
10
00
01
00
11
00
10
10
00
01
10
10
01
11
10
10
00
11
11
11
01
00
00
00
11
10
11
01
00
00
10
01
10
00
01
10
01
00
00
11
11
00
01
00
10
10
10
00
00
11
10
01
01
10
01
00
00
10
10
00
01
10
10
11
00
00
00
10
10
00
10
11
00
01
00
00
10
00
10
10
00
01
10
00
00
01
10
10
00
10
10
11
10
10
00
00
01
10
10
00
11
10
00
01
10
00
00
00
10
01
00
11
01
01
10
01
10
11
10
00
10
10
10
01
00
11
10
00
00
10
01
00
10
11
00
01
11
10
11
01
00
10
01
00
11
11
00
10
11
10
01
00
10
10
10
10
00
00
10
00
00
01
11
11
10
10
10
01
00
10
10
01
00
10
01
01
00
01
00
11
00
01
10
10
00
01
11
01
11
10
10
01
01
01
11
10
00
01
10
11
00
00
10
10
00
10
00
01
00
01
10
01
11
00
10
11
00
01
01
11
10
11
00
00
11
10
10
00
00
11
11
11
01
00
11
01
10
00
00
10
10
00
00
10
10
00
00
10
10
11
10
00
10
00
01
10
01
10
11
00
00
00
00
00
10
10
10
00
00
01
00
01
10
10
01
00
10
00
01
11
00
10
10
00
10
10
01
01
00
10
01
10
00
10
00
00
10
10
11
00
01
00
10
10
00
01
01
00
00
10
11
00
01
00
11
11
00
00
11
10
10
11
00
00
11
10
00
10
11
10
11
11
10
00
00
10
10
00
01
00
11
00
00
10
10
10
01
10
00
10
01
00
01
01
10
11
00
10
01
10
10
00
00
10
01
10
10
00
01
00
00
10
10
01
11
10
01
01
00
10
00
11
00
10
11
10
01
00
01
01
11
00
11
10
00
10
11
00
00
01
10
10
01
10
00
00
00
01
01
11
11
10
00
00
11
10
10
10
01
00
11
01
11
01
10
10
01
00
00
00
10
10
10
01
10
01
01
00
10
11
10
01
01
10
00
00
11
10
01
00
01
11
00
00
10
00
01
00
10
11
00
10
10
00
00
01
00
01
00
01
10
00
01
11
00
01
10
01
00
11
10
11
01
10
01
10
10
00
11
00
00
00
00
10
10
10
11
11
00
00
10
10
00
01
10
10
10
01
00
00
10
11
00
10
10
00
10
10
00
00
11
00
00
10
10
00
01
00
10
11
00
01
00
10
11
00
01
10
00
11
10
00
10
00
00
00
00
10
10
01
11
00
00
00
00
01
00
00
10
10
10
00
10
10
00
00
10
10
11
00
10
00
01
10
11
10
00
10
01
10
00
11
10
00
10
10
10
00
00
00
10
11
10
10
00
11
00
01
10
01
11
10
10
00
10
10
00
00
11
00
01
01
11
00
00
10
00
00
10
10
11
00
01
11
10
00
11
00
00
01
10
00
00
11
00
00
10
11
10
11
10
00
01
00
10
11
10
11
01
00
01
11
10
00
11
11
10
01
10
11
10
01
00
01
11
10
00
00
10
00
00
10
10
01
00
11
00
10
00
01
11
11
10
00
00
00
11
10
11
00
11
01
00
11
00
00
10
00
10
10
10
01
01
10
10
00
01
01
10
11
00
00
10
10
00
11
10
00
00
10
00
11
10
11
01
00
01
00
00
10
00
00
10
00
00
10
10
10
01
00
10
10
10
10
11
00
00
00
00
10
01
01
10
00
10
10
01
01
01
00
00
00
10
01
10
11
00
11
10
10
10
11
01
10
10
00
00
01
10
10
01
10
00
10
10
10
11
11
10
10
00
10
01
11
01
01
00
11
10
00
10
10
00
00
10
00
00
10
10
00
10
10
10
01
01
11
01
10
01
10
11
10
10
00
11
01
01
11
11
00
10
01
01
11
11
00
00
00
00
00
00
10
10
00
01
10
11
00
11
01
10
00
00
10
11
00
11
00
11
00
11
10
00
11
10
10
00
11
10
11
00
11
10
00
11
11
01
01
10
00
00
11
10
10
01
01
00
10
01
00
11
00
10
11
01
01
11
00
00
00
00
00
10
10
01
00
00
11
10
10
00
10
01
11
01
00
11
10
11
11
00
10
00
11
11
01
00
10
11
01
00
00
00
10
11
00
00
10
01
00
00
11
11
01
11
11
11
00
00
01
10
10
00
00
10
10
01
11
11
00
11
01
10
01
10
11
00
10
10
01
10
10
00
00
10
10
01
11
00
11
10
10
00
10
00
10
10
11
10
00
00
10
10
00
00
10
11
00
00
10
11
10
00
01
10
01
11
10
00
00
01
11
10
00
00
00
10
11
10
00
11
11
00
10
00
00
00
00
10
00
11
10
00
00
10
11
01
00
10
10
00
00
01
00
10
00
10
10
00
01
00
00
00
10
10
00
00
10
10
00
00
00
00
00
10
01
01
01
11
00
01
00
11
00
10
11
00
01
10
10
00
00
00
01
01
11
10
11
00
01
10
00
01
10
11
01
11
11
10
00
00
00
10
11
11
00
10
10
00
00
11
10
01
01
10
10
10
10
10
10
01
00
00
00
10
11
01
00
10
00
10
10
11
00
01
11
00
01
10
00
11
00
10
11
01
00
10
00
01
10
11
10
00
01
11
10
10
00
11
11
01
01
10
00
00
01
10
00
11
10
01
00
10
11
01
00
00
10
00
00
00
10
10
10
10
01
00
00
00
10
01
01
11
00
01
00
00
10
10
10
01
00
11
11
10
00
11
01
01
00
10
10
00
01
00
11
01
00
10
10
01
10
00
01
10
11
00
11
00
10
01
00
10
11
00
00
10
00
00
10
11
11
10
01
00
00
10
11
11
10
11
00
11
10
01
01
10
10
00
10
10
10
00
10
01
00
00
00
10
00
01
01
10
00
00
00
11
10
00
00
11
01
00
10
00
00
11
00
01
10
00
01
10
00
10
10
00
00
11
10
10
10
01
00
10
00
10
10
10
00
01
00
10
01
00
10
00
10
01
10
11
00
10
00
10
10
00
10
10
00
00
00
01
00
00
10
00
00
00
01
10
10
01
11
01
11
00
00
11
10
01
00
10
11
10
00
00
10
10
10
00
10
01
00
10
10
10
00
01
01
01
01
11
00
11
00
01
10
00
11
10
10
10
10
00
10
00
00
10
10
00
01
11
10
01
10
10
10
11
00
01
01
10
00
01
00
01
10
10
01
10
11
01
00
11
10
11
01
00
00
00
10
00
00
10
11
00
11
11
00
00
10
10
00
10
01
01
11
11
00
01
10
10
10
11
01
01
10
00
10
00
00
10
11
10
01
10
11
00
00
00
00
00
10
11
10
10
00
00
01
11
00
10
10
11
11
10
01
00
11
10
01
11
00
00
10
00
00
10
00
11
10
01
00
01
11
11
10
00
00
11
00
11
10
11
11
01
00
10
01
01
00
10
01
00
11
11
01
10
00
00
11
10
00
01
01
10
11
01
00
10
00
00
10
00
10
10
01
11
10
00
10
11
00
11
10
00
10
00
01
11
10
01
11
10
10
01
01
01
00
10
00
10
00
10
10
00
10
10
11
01
10
10
00
00
11
11
00
00
10
10
00
01
01
10
11
10
10
00
01
00
11
10
00
10
10
10
00
11
11
00
01
00
10
00
01
11
10
11
01
10
01
00
01
10
01
01
00
10
10
10
10
01
00
01
11
11
11
00
01
10
11
11
00
00
10
01
10
11
00
01
11
10
00
00
01
11
01
11
01
11
00
01
10
00
00
11
00
00
00
10
00
00
00
11
00
01
01
01
10
10
11
10
10
00
00
00
11
10
10
01
00
00
00
10
00
11
10
10
10
00
11
00
10
00
11
01
00
10
11
10
11
10
01
00
10
10
00
00
11
10
00
00
10
00
01
00
11
00
00
11
10
00
10
10
01
00
01
00
01
11
10
11
10
11
11
01
01
10
00
00
00
10
10
01
01
01
10
00
00
11
10
01
01
10
11
01
10
11
00
01
10
01
11
11
00
01
10
00
00
11
10
01
01
10
00
01
00
10
00
10
11
01
10
01
10
00
00
10
00
00
00
10
10
10
00
10
10
00
10
10
01
10
00
00
11
01
01
10
00
00
10
10
00
01
10
00
00
11
00
10
10
00
00
00
00
10
11
00
10
11
10
00
00
11
10
10
01
11
00
00
11
10
11
00
00
00
11
10
10
11
01
00
00
00
10
10
01
00
10
11
10
01
01
00
10
10
00
01
11
11
00
01
10
10
10
10
00
00
10
10
01
11
10
01
11
10
10
11
00
01
10
10
00
00
00
00
01
11
10
10
00
10
00
01
11
10
01
00
00
10
11
10
11
01
00
10
11
10
00
11
10
01
00
00
11
00
10
11
01
00
10
10
11
11
01
01
10
10
10
00
00
10
10
01
11
01
10
10
00
01
10
01
00
10
10
10
10
11
10
00
01
01
00
01
01
01
00
01
10
11
00
00
10
11
00
00
10
10
10
00
10
00
00
10
01
00
10
00
00
10
11
11
10
10
10
00
00
01
10
11
01
00
10
00
00
11
10
00
00
00
10
10
11
10
10
01
00
10
10
01
10
01
10
11
10
01
10
00
01
11
10
00
00
00
00
10
11
10
00
00
11
00
11
10
01
00
11
11
10
10
10
01
00
01
10
00
00
01
00
00
01
10
11
10
01
10
10
10
10
01
11
10
00
10
10
00
10
11
01
01
10
10
00
11
01
00
10
11
11
00
00
00
00
00
01
10
11
00
01
10
10
00
00
10
01
11
10
10
01
10
10
10
00
00
01
01
10
00
10
11
10
10
01
01
11
11
10
01
00
00
01
10
11
00
11
10
10
10
10
00
01
00
00
10
11
11
10
00
01
01
11
10
00
10
10
10
00
01
11
10
11
10
01
00
10
00
11
01
00
10
11
10
11
10
11
01
00
00
11
00
00
00
01
10
10
11
10
10
10
11
00
10
10
00
10
00
11
01
00
11
11
01
00
01
00
10
10
00
11
11
11
00
00
01
10
11
00
01
01
10
11
00
10
11
10
10
00
00
00
00
11
00
01
10
11
00
01
00
10
10
00
00
01
11
10
10
11
10
10
10
10
01
00
10
00
11
00
10
10
10
10
00
01
10
00
10
10
10
01
00
11
01
10
00
10
01
00
10
10
10
00
01
00
01
01
00
00
00
00
01
00
11
10
00
10
11
10
10
11
00
11
00
00
01
11
10
00
01
10
10
01
10
10
01
10
00
00
10
10
11
00
10
00
01
11
10
01
00
00
00
00
11
10
01
11
11
01
10
11
10
10
00
01
01
01
10
10
10
11
01
00
11
10
01
00
10
11
00
00
10
01
00
11
00
11
01
00
01
10
00
01
11
10
01
00
00
00
10
00
10
10
11
00
10
10
01
00
11
00
01
00
00
11
10
00
00
10
10
00
11
00
00
10
10
01
11
00
01
00
00
00
10
00
00
01
10
01
10
01
01
11
00
00
10
11
00
00
10
10
10
01
00
11
11
00
10
10
01
00
00
11
00
10
01
00
10
00
00
01
01
10
00
00
10
11
10
11
10
00
10
10
11
00
00
11
01
00
01
10
00
00
10
11
10
01
10
00
00
00
01
10
00
00
10
10
10
00
01
01
10
10
00
01
00
01
11
01
11
10
11
11
10
10
01
00
11
10
00
11
10
10
00
00
11
10
10
00
00
00
01
00
01
10
00
01
00
11
00
01
11
10
01
10
10
00
00
10
00
01
10
00
00
11
00
10
10
01
01
10
01
00
10
11
11
11
00
00
10
10
00
00
10
10
00
01
00
10
10
10
10
11
00
00
11
00
11
10
00
01
00
00
01
10
10
10
11
00
01
00
00
11
10
00
00
00
11
11
10
01
10
11
10
01
11
11
00
00
10
10
10
00
00
11
00
11
11
00
00
00
10
00
11
11
01
00
00
10
00
10
11
00
01
10
00
00
11
10
10
10
10
10
00
10
00
10
10
00
00
10
10
00
10
10
00
10
11
01
10
01
01
00
11
10
00
00
10
10
00
01
10
11
00
00
00
00
10
10
10
10
00
00
10
11
11
00
00
10
10
11
10
00
00
10
11
00
10
00
11
11
00
11
00
00
10
11
01
01
11
11
00
10
10
01
00
10
10
11
00
01
00
11
00
00
00
11
10
01
00
01
10
10
00
00
00
00
10
10
10
10
00
11
10
00
00
10
11
10
11
00
01
10
01
10
00
00
01
10
11
10
01
10
10
11
10
10
01
00
10
10
11
00
10
01
10
10
10
10
11
01
00
01
10
01
01
00
00
10
01
00
10
01
01
00
01
10
10
11
00
00
10
10
00
00
10
10
10
00
11
01
00
01
11
10
01
11
00
10
00
00
11
00
00
00
00
10
00
00
10
11
10
10
10
01
01
10
11
10
00
00
00
01
10
00
00
00
01
00
10
01
11
11
01
00
11
10
10
01
01
10
11
00
00
01
00
01
00
00
10
10
10
11
11
01
10
10
00
00
10
00
00
10
00
00
10
10
00
10
10
00
11
10
00
00
11
00
00
00
01
00
11
01
00
00
11
10
00
00
10
01
10
11
00
10
11
10
00
11
00
11
10
10
00
00
10
10
10
00
10
00
00
10
11
10
00
01
01
11
00
11
00
00
01
01
10
10
01
00
00
10
10
00
01
00
11
10
00
01
11
10
10
00
00
10
10
11
00
01
10
01
00
00
00
10
10
10
10
00
11
00
00
01
01
00
00
00
10
11
00
01
01
11
10
00
00
10
10
00
00
11
10
10
00
00
10
00
10
01
00
01
00
00
11
10
00
00
01
10
11
00
10
11
00
10
10
10
01
10
00
00
10
11
10
00
11
11
10
00
11
00
00
10
11
10
01
01
00
11
10
00
10
00
01
01
11
11
00
10
10
10
00
00
01
10
01
00
10
00
01
10
00
00
10
00
10
00
10
01
00
10
10
10
10
01
10
11
11
00
11
00
10
00
00
10
10
10
00
00
00
00
00
00
00
11
01
10
11
00
11
00
01
11
10
10
01
00
10
00
00
01
00
00
00
01
10
01
10
00
11
10
11
10
10
10
00
01
10
01
00
10
11
01
00
10
00
00
00
11
10
00
11
11
11
10
01
00
10
00
11
11
00
10
10
10
11
10
01
00
10
11
10
00
10
01
10
10
00
10
10
01
00
00
10
00
10
00
10
01
01
10
01
10
11
00
00
00
10
00
00
11
10
11
10
10
00
10
10
11
10
00
00
01
11
01
00
11
10
11
01
11
10
01
00
11
11
10
11
10
01
00
11
00
10
10
01
10
11
10
01
10
10
10
00
01
00
10
10
10
10
00
00
10
10
10
00
01
10
00
10
00
11
11
00
01
10
10
11
00
00
10
10
00
10
10
11
00
01
00
00
01
10
11
00
00
11
00
11
11
00
00
10
00
00
01
10
10
10
01
00
10
11
01
10
00
11
10
00
11
10
00
10
11
10
10
00
00
00
11
00
00
00
00
10
01
00
00
00
10
01
10
10
00
11
10
11
01
01
10
00
00
10
00
00
11
10
10
00
10
10
01
10
00
11
00
00
00
11
01
11
00
10
00
00
01
01
10
10
00
00
10
00
11
11
00
10
01
00
10
01
10
00
11
10
00
00
00
00
10
10
00
11
10
01
11
11
01
10
01
10
00
11
01
00
10
10
00
00
00
00
10
10
00
00
10
10
01
01
00
00
00
10
10
11
00
01
00
10
10
10
00
10
10
10
10
10
00
10
01
01
00
00
10
10
10
00
01
01
00
00
00
11
11
10
11
10
01
10
00
00
11
10
11
00
00
01
10
01
10
00
01
10
00
10
01
00
10
10
01
00
00
00
00
11
10
00
01
11
01
00
10
10
00
00
10
00
11
10
00
11
11
00
10
01
10
11
01
11
11
11
10
01
11
01
10
11
00
01
11
10
00
00
00
11
10
00
10
11
10
10
11
01
00
00
10
10
00
00
00
00
00
01
00
00
10
11
11
10
11
01
10
10
11
00
00
10
11
00
10
11
10
01
10
00
11
00
10
01
10
10
10
00
01
10
01
01
10
11
10
01
01
00
00
10
10
10
11
00
00
00
11
00
01
01
10
00
10
01
00
10
10
00
01
11
01
11
00
10
10
10
10
01
00
11
01
01
10
00
10
00
00
10
01
01
01
00
10
00
01
11
01
00
00
11
00
10
11
11
10
00
11
01
00
00
00
10
01
10
11
10
00
01
00
00
00
00
11
00
00
00
01
10
01
00
11
10
00
10
10
00
00
00
00
00
11
11
10
00
10
01
10
10
10
11
00
11
10
01
00
11
00
11
10
01
11
01
10
11
10
01
00
10
11
10
00
10
10
11
10
10
10
00
00
10
00
10
10
11
11
10
01
00
10
10
00
00
00
10
10
11
10
01
00
00
10
11
00
01
01
10
10
10
11
00
00
11
10
01
00
11
10
10
10
00
00
11
01
10
10
00
01
00
01
10
10
00
10
11
01
00
10
11
00
10
10
10
10
10
10
00
10
11
00
00
00
00
11
10
00
01
11
10
00
00
10
01
00
10
11
10
01
01
00
10
10
00
10
10
00
10
01
00
00
10
01
10
00
00
11
00
10
00
00
11
10
00
10
10
00
10
11
10
00
10
00
01
01
00
10
00
00
10
11
01
00
11
00
00
01
10
11
00
01
00
10
00
10
00
00
00
11
01
11
01
01
10
10
11
00
10
10
10
10
01
00
00
10
10
10
11
01
00
11
01
00
10
10
10
00
00
10
11
10
10
00
10
00
10
01
01
10
00
10
10
10
00
11
10
01
01
11
00
11
01
01
01
00
00
10
10
00
00
11
10
10
00
11
10
10
00
11
00
01
00
10
01
10
10
00
01
00
11
10
01
00
11
10
00
10
10
00
00
10
11
11
11
10
00
11
10
10
00
01
11
01
01
11
00
01
10
00
00
00
10
10
01
00
11
10
10
00
00
01
10
00
00
10
10
00
00
11
01
00
10
00
11
11
10
00
10
11
11
10
01
10
10
10
00
10
00
11
10
10
01
10
11
10
10
00
00
01
10
10
11
00
11
01
00
00
00
10
11
00
00
10
10
00
10
10
00
10
10
11
11
10
11
10
11
01
01
00
01
00
11
10
00
01
10
10
10
00
11
10
11
00
10
11
10
01
00
11
01
00
10
10
10
01
10
11
11
01
00
10
00
00
00
11
00
11
10
00
10
11
00
00
10
10
10
00
10
10
10
10
00
00
10
00
00
10
10
00
11
11
00
10
10
01
01
10
11
10
00
10
11
10
00
10
11
00
10
00
10
00
01
01
10
00
10
00
11
10
10
00
01
00
01
10
00
00
10
00
00
00
10
01
01
01
01
00
01
00
00
11
00
10
10
01
00
10
00
10
00
00
11
00
00
10
10
10
01
10
10
00
11
11
00
00
00
10
10
01
01
01
11
00
10
00
10
01
00
00
10
00
00
00
00
10
00
11
10
00
00
01
00
00
01
10
11
00
11
01
10
00
11
00
00
10
11
00
11
10
00
00
10
11
11
01
10
11
01
11
10
11
10
00
00
10
10
01
10
00
00
00
11
00
01
10
01
10
10
00
11
10
00
10
00
00
10
11
10
10
00
01
10
11
00
10
11
01
00
10
00
00
00
10
11
00
00
11
10
00
11
11
10
10
01
01
10
00
10
00
11
11
00
11
10
00
11
01
01
00
10
11
01
10
11
00
00
00
10
10
00
01
10
00
01
00
00
01
10
10
01
00
11
01
11
11
00
01
01
00
10
10
00
00
10
10
00
11
11
01
10
00
11
10
01
01
10
10
00
10
01
00
00
01
01
11
10
10
10
00
11
01
00
11
10
10
00
10
01
01
00
00
10
10
10
01
10
01
00
10
10
00
11
00
00
11
00
00
01
11
01
11
00
01
00
11
10
10
00
00
10
00
11
11
00
00
00
10
10
10
10
10
01
10
00
00
10
11
10
01
00
10
01
00
01
00
10
10
10
01
11
00
00
11
00
00
10
10
10
00
10
00
00
10
10
00
10
01
00
10
11
10
10
00
01
11
10
01
00
01
00
01
10
10
10
01
00
10
00
10
11
00
00
01
11
10
01
00
11
10
00
00
10
01
00
10
00
10
10
10
10
10
00
00
11
10
11
01
11
11
10
10
10
10
01
10
11
00
00
10
01
10
10
11
00
10
11
10
11
00
10
01
11
10
00
11
00
11
10
01
00
10
11
10
10
00
11
10
00
01
10
11
01
00
10
00
10
00
00
00
10
00
10
00
00
00
11
10
00
10
01
00
00
10
10
10
00
11
11
00
00
00
00
11
00
01
00
11
01
10
11
10
10
01
10
11
11
00
00
11
00
00
10
10
00
01
11
10
01
10
00
00
00
10
00
11
10
11
10
01
01
11
00
10
00
01
01
11
01
00
10
10
01
11
11
00
10
00
00
10
10
00
00
00
10
10
00
10
10
01
00
10
01
01
01
01
10
00
01
10
10
10
00
00
00
10
10
01
11
01
00
11
00
00
01
00
11
10
10
01
10
10
01
01
10
01
10
10
00
10
00
01
10
11
00
00
01
10
10
10
10
01
01
00
00
01
11
10
00
00
11
11
10
01
10
11
00
10
01
01
00
10
10
01
00
01
10
00
00
10
10
11
00
00
01
00
10
01
00
00
10
10
10
00
10
10
10
00
00
10
10
00
00
01
01
01
01
00
00
10
01
00
01
11
10
00
10
00
10
10
10
01
00
00
10
10
11
00
00
00
11
10
10
11
10
10
10
00
01
01
10
10
01
01
01
00
10
11
11
00
10
10
00
10
10
11
00
11
01
00
10
00
00
01
01
01
01
10
01
11
10
10
00
00
10
11
00
00
10
01
10
01
00
10
01
11
10
10
00
00
01
11
01
00
10
10
00
00
10
01
00
10
00
00
11
00
11
11
00
00
01
11
01
11
00
00
10
10
01
11
10
00
01
10
11
01
01
11
00
10
11
10
01
01
10
10
10
11
00
00
10
00
01
11
10
10
00
00
11
01
01
00
00
10
00
01
10
00
01
10
10
00
01
10
01
11
00
10
01
01
10
01
00
10
11
11
01
00
01
10
10
00
01
11
10
11
10
00
01
11
10
11
10
00
10
01
01
10
00
10
10
11
11
00
01
10
10
11
00
10
00
11
11
10
10
00
10
00
10
10
00
10
01
00
10
01
00
01
10
01
01
10
00
00
11
10
11
01
01
00
11
10
11
10
10
01
10
00
10
00
00
00
10
11
11
10
10
01
01
00
01
10
01
11
00
00
10
00
01
11
00
10
00
01
01
10
10
10
00
11
01
00
10
00
10
00
01
11
10
11
01
01
11
00
00
00
10
00
10
11
01
11
10
11
11
00
10
10
00
10
00
10
11
11
10
11
00
10
10
00
00
10
11
00
00
11
10
10
10
00
00
10
10
11
00
00
00
10
10
00
00
00
00
10
00
01
10
01
10
01
01
00
01
11
10
00
10
10
00
10
01
00
00
10
11
01
10
01
10
11
01
00
10
00
01
10
10
00
00
01
11
10
00
10
01
00
10
10
01
00
10
11
01
00
10
01
11
00
01
10
00
01
00
11
01
00
10
10
10
00
10
00
11
00
01
01
00
11
00
10
10
11
10
00
00
00
00
00
00
11
11
11
11
00
10
10
10
00
00
10
11
01
01
00
00
11
00
00
01
00
10
00
01
00
00
11
10
11
10
01
00
10
01
00
00
10
10
01
10
11
10
00
00
00
11
01
00
11
00
00
11
11
11
01
00
11
11
00
01
11
10
01
10
10
10
00
00
00
00
10
10
00
01
01
10
00
00
00
00
01
11
10
00
10
10
01
00
10
00
10
10
10
10
01
10
11
00
10
10
10
11
11
00
01
00
00
00
01
11
10
01
00
00
00
00
00
10
00
00
11
10
11
10
01
00
00
10
01
01
11
01
00
01
11
10
11
00
01
10
01
00
10
10
00
00
10
10
00
00
10
11
11
00
00
01
11
10
10
00
10
10
00
11
00
11
00
10
10
01
00
10
10
00
11
01
00
00
00
10
01
00
00
10
10
00
10
00
10
00
10
10
00
10
01
01
00
00
00
00
10
00
11
00
11
10
11
01
01
10
10
10
00
01
01
11
01
00
00
00
11
10
00
01
10
10
10
11
10
11
00
01
01
10
11
00
10
10
01
00
00
00
10
10
00
00
10
00
00
01
01
11
10
00
00
00
01
00
01
11
10
10
01
01
11
11
11
11
10
11
00
00
10
10
01
01
10
01
10
11
10
01
10
10
10
00
01
00
00
10
11
10
10
00
10
00
11
10
10
11
00
10
10
10
10
01
00
10
10
11
10
00
10
00
10
00
10
01
10
00
10
10
00
00
10
10
10
01
00
00
10
11
01
10
01
01
10
10
00
00
10
11
01
10
10
11
00
11
00
00
10
01
00
10
00
00
01
01
10
10
00
00
10
00
01
00
11
10
01
01
10
10
10
01
01
11
01
10
00
11
10
10
10
01
01
11
10
01
10
11
00
00
11
10
10
00
00
00
10
10
10
10
10
00
10
00
00
11
00
01
11
11
01
10
10
00
10
10
01
01
10
00
00
01
00
01
00
10
10
10
11
00
11
10
10
00
00
00
00
00
11
01
10
10
10
00
01
11
01
11
10
01
10
00
00
11
10
00
01
00
00
11
10
00
10
00
00
10
01
10
11
10
10
01
11
10
01
10
11
01
01
11
10
01
00
01
10
00
00
10
10
01
10
10
11
10
10
11
10
01
10
00
00
00
10
11
00
01
00
01
00
10
10
10
11
01
00
11
10
00
00
00
00
10
11
01
10
00
00
10
11
00
01
10
10
00
11
11
10
00
00
10
00
10
00
00
11
10
01
10
10
00
01
01
10
10
10
00
00
11
00
01
00
00
10
11
00
10
00
00
10
11
00
10
11
10
00
01
01
01
01
11
00
10
01
01
00
11
00
00
10
10
10
10
10
00
10
11
00
10
00
00
01
10
10
10
00
10
10
00
11
00
10
00
00
00
11
10
11
00
00
10
10
10
10
00
01
10
01
00
01
00
01
11
10
10
11
10
10
10
00
00
01
10
00
10
00
01
00
01
10
00
00
10
00
10
10
01
10
00
01
00
01
11
00
01
10
01
01
00
11
10
00
00
01
11
11
11
01
01
11
10
00
10
10
00
10
11
11
10
01
10
11
10
00
10
01
10
01
10
11
10
10
00
11
00
01
00
11
10
00
10
10
10
00
01
10
11
01
00
00
11
00
10
10
00
00
10
11
00
00
11
11
10
00
01
00
00
10
10
01
01
11
00
00
11
01
10
10
01
00
00
00
10
10
11
10
01
01
11
00
11
10
00
00
11
10
10
10
01
01
10
00
01
00
00
10
10
10
00
00
00
00
10
00
10
10
00
01
10
01
00
00
10
10
10
00
00
11
00
11
10
00
00
10
00
10
10
01
11
10
00
11
00
10
10
11
00
00
01
00
10
00
00
11
10
00
00
00
00
00
01
10
00
00
00
11
10
11
10
00
10
01
10
10
11
01
00
10
10
00
01
10
00
10
00
10
10
00
00
01
11
00
00
10
11
00
00
11
10
00
01
00
01
01
10
10
10
00
01
00
01
10
00
10
10
00
00
00
10
01
01
11
10
00
01
10
00
11
01
01
01
11
00
11
00
10
10
01
00
00
10
10
00
00
00
00
11
10
10
10
01
10
11
01
10
00
11
10
00
00
10
10
00
00
11
11
10
00
00
01
00
00
00
00
00
10
11
11
00
10
10
10
00
10
10
00
11
11
00
00
11
00
01
00
11
10
10
00
00
01
00
10
11
01
00
10
00
01
11
10
10
10
01
01
00
00
00
01
11
00
10
00
11
00
00
10
11
11
00
11
11
00
10
10
00
01
10
10
01
10
10
00
00
01
00
00
10
00
11
10
01
01
11
10
00
01
10
10
10
10
01
10
00
01
10
00
01
10
10
00
00
01
10
00
00
10
01
11
11
10
00
00
10
10
10
11
11
00
10
00
00
11
11
00
00
01
01
11
01
10
10
01
01
10
10
00
01
11
10
01
10
10
11
00
00
10
10
00
10
01
00
10
10
01
10
01
00
01
10
00
10
00
11
10
01
01
00
01
00
00
00
01
10
01
00
11
01
10
10
11
11
00
00
10
00
11
11
00
11
01
00
10
11
10
01
00
10
01
00
11
10
10
00
00
10
01
10
00
10
11
00
00
10
10
00
01
00
10
01
10
10
00
00
01
10
00
11
01
00
11
01
10
10
00
00
01
10
10
00
00
00
10
10
11
00
00
10
00
11
10
10
00
01
10
10
10
00
01
01
10
00
00
00
11
00
10
01
10
10
00
10
10
00
11
00
10
00
00
11
10
01
01
11
00
11
00
10
10
00
11
11
11
01
00
00
10
10
00
10
00
11
00
01
00
10
10
00
01
10
11
00
10
11
00
00
10
00
01
10
10
00
01
01
01
00
10
01
01
00
01
10
00
10
10
00
10
11
01
00
10
10
00
00
00
11
00
00
11
10
00
01
00
10
00
11
11
11
00
01
00
01
10
11
11
00
10
10
11
00
00
10
00
00
10
00
00
01
10
01
10
01
10
01
00
10
10
10
11
00
00
10
10
10
00
00
11
10
10
00
11
10
10
10
00
01
11
10
01
00
10
10
00
00
11
01
00
01
10
01
11
00
10
11
01
01
01
10
01
10
10
01
10
11
00
10
10
00
10
00
10
11
01
10
00
00
00
00
00
10
10
01
00
00
01
10
11
00
01
11
00
11
01
01
10
01
11
01
01
00
11
10
10
10
00
00
00
00
10
11
11
10
00
10
10
00
00
10
11
11
00
11
00
00
01
10
01
00
10
10
00
01
00
00
11
00
10
10
10
01
00
00
01
10
11
11
10
00
11
00
01
11
10
01
00
10
00
00
11
00
00
10
10
01
01
10
10
00
00
11
10
01
00
01
10
00
10
10
00
00
10
11
10
01
10
01
10
10
11
00
10
10
11
00
00
11
10
10
10
11
00
00
00
10
00
00
01
11
00
10
10
00
10
10
10
10
01
00
00
00
00
00
00
00
10
01
10
00
10
11
00
00
00
00
10
10
00
01
11
10
01
11
11
00
00
10
10
10
00
11
10
11
10
01
00
00
10
00
00
10
00
10
10
00
10
01
01
01
01
10
10
10
00
10
10
01
01
00
10
00
01
10
10
01
00
00
11
00
00
00
11
00
00
10
10
11
00
11
00
11
00
00
00
10
11
10
11
00
10
10
10
00
01
10
01
01
10
11
10
00
00
11
11
10
00
00
00
10
11
00
01
10
01
11
10
11
00
10
11
10
01
10
00
00
10
10
11
01
00
00
10
01
00
10
01
01
10
01
00
10
10
11
00
00
10
10
00
11
11
00
01
11
11
00
11
00
00
10
01
10
11
00
01
10
10
00
11
11
00
00
10
10
01
01
10
11
01
01
11
00
11
00
10
11
01
00
10
10
10
10
11
00
01
10
10
01
10
00
01
10
10
10
01
00
00
01
10
00
10
00
00
00
01
10
10
11
11
10
01
00
00
10
00
00
00
00
00
11
10
10
00
10
10
01
10
11
00
00
11
11
11
11
00
00
00
11
11
00
01
10
01
00
00
10
10
11
11
10
00
00
00
10
10
01
00
10
01
10
10
01
10
11
10
00
00
01
10
00
00
10
01
00
10
11
11
00
10
01
00
10
10
00
01
00
00
00
10
00
11
10
10
00
00
00
10
00
01
10
10
00
01
10
00
10
10
10
01
11
01
00
10
10
00
11
10
00
10
10
00
10
10
10
01
00
11
01
11
10
10
10
00
00
01
00
00
00
01
11
10
00
00
11
11
01
01
00
00
10
00
11
00
00
10
11
10
00
11
00
10
00
10
10
00
01
01
11
10
00
11
00
00
10
10
00
00
10
11
10
10
01
10
01
00
10
10
01
00
11
00
00
10
10
11
11
10
10
10
00
11
01
10
10
01
10
11
00
10
00
01
01
00
10
11
10
10
01
00
10
11
00
00
10
10
00
10
10
11
00
01
01
11
00
01
00
10
10
10
10
11
11
00
10
00
01
00
10
10
00
01
01
00
10
01
01
01
10
11
01
00
00
00
10
01
01
10
10
10
01
00
11
01
00
01
10
10
00
10
11
10
01
01
10
11
10
11
01
00
10
10
00
00
00
10
11
10
11
01
01
10
00
10
10
10
00
10
00
01
10
10
01
00
10
10
10
11
00
00
01
11
00
11
01
11
11
00
11
00
10
10
10
00
00
00
00
00
10
10
00
00
11
00
10
01
00
10
00
10
10
00
00
11
10
00
00
11
01
00
01
10
10
00
00
00
00
01
11
10
11
00
10
00
10
00
01
00
00
10
01
10
10
10
00
01
00
11
11
00
00
00
11
10
11
00
11
01
01
11
01
00
11
10
10
10
00
01
11
11
00
01
00
10
00
11
10
01
00
10
11
11
10
10
10
01
10
10
00
00
11
00
01
11
10
00
00
10
01
10
11
00
00
10
10
10
01
00
10
10
11
00
10
11
11
01
00
10
00
00
00
00
00
10
11
11
10
10
10
10
10
01
00
00
00
00
11
10
00
11
10
11
11
10
10
01
00
10
10
01
00
00
00
01
01
00
10
10
01
10
01
01
11
10
00
01
00
10
00
00
10
11
11
00
01
01
11
11
00
10
00
00
11
00
00
10
01
00
01
11
10
10
01
00
11
10
00
00
00
10
10
01
01
01
00
10
01
01
00
01
10
11
11
10
11
01
01
00
00
11
00
00
11
00
11
00
00
11
00
00
00
11
10
01
01
11
01
11
11
10
00
00
10
00
00
10
11
11
10
11
00
00
10
00
00
10
10
11
00
01
10
00
10
11
10
01
01
11
01
00
00
10
10
10
00
00
11
11
10
10
10
10
11
00
00
10
00
00
01
11
10
00
00
10
10
11
00
00
10
10
10
01
10
11
10
10
10
00
10
01
11
11
10
10
01
00
11
10
00
01
10
11
00
11
11
11
00
10
11
10
10
01
11
00
00
11
11
00
11
10
00
11
10
10
01
01
10
10
00
11
00
00
00
11
00
10
10
00
01
01
01
11
10
01
01
10
00
00
10
11
01
10
01
00
10
00
10
00
10
11
00
11
10
10
10
10
10
10
00
01
00
10
11
00
10
11
11
00
01
11
00
00
10
01
10
01
00
00
01
01
00
11
11
11
00
10
10
01
11
10
00
00
11
01
00
11
10
00
00
00
00
11
10
00
00
11
10
00
10
00
00
11
01
00
10
10
11
10
01
11
01
00
11
00
00
01
10
10
10
10
00
10
10
00
11
00
10
10
00
11
01
01
11
00
00
10
00
00
10
11
00
00
01
00
01
10
10
00
00
11
01
10
11
01
10
10
10
10
11
01
01
00
00
10
01
00
00
01
10
01
00
01
11
10
00
10
00
00
10
10
00
01
01
00
10
10
00
00
01
10
00
00
10
00
11
10
11
10
00
10
10
10
11
10
00
00
01
01
00
00
10
01
10
10
01
00
01
01
00
10
10
10
01
01
10
00
11
01
10
10
10
10
10
00
00
01
01
11
01
10
10
00
00
11
01
00
01
00
00
00
11
11
01
00
10
00
11
00
01
10
10
01
10
01
00
10
10
10
10
00
11
00
11
10
01
00
01
11
10
00
01
11
11
10
00
10
11
00
10
10
00
01
11
11
00
10
00
10
10
00
10
10
00
00
10
01
00
10
10
01
11
11
00
00
00
10
11
01
11
10
00
00
11
10
00
11
10
10
10
10
10
10
10
10
10
11
10
00
00
00
00
11
10
11
00
01
00
11
10
00
00
00
01
10
00
00
00
01
10
10
00
00
00
10
10
10
00
00
00
10
00
10
11
11
00
00
00
00
01
10
00
10
10
10
10
00
01
11
11
11
10
10
01
00
00
11
10
11
11
01
00
00
00
11
01
11
11
00
01
11
10
10
00
00
10
10
10
10
01
00
00
00
10
10
10
00
10
10
11
00
00
00
00
00
10
10
10
11
00
00
00
10
10
10
10
11
00
01
10
01
11
11
11
10
00
00
00
10
10
00
00
11
10
01
00
10
10
11
10
00
00
10
01
00
01
10
00
10
10
01
10
00
00
00
00
00
10
00
00
01
01
01
10
00
10
11
10
00
11
10
01
11
00
01
01
10
00
00
10
00
00
10
10
01
01
01
10
11
11
01
00
10
00
00
10
10
00
00
11
10
01
00
00
00
10
10
11
00
11
01
00
10
11
01
10
10
00
00
10
11
01
10
01
01
00
00
01
00
11
01
01
00
11
11
10
10
00
01
11
10
01
00
10
10
11
01
00
10
10
10
11
10
00
00
00
10
00
11
10
10
01
01
10
00
00
00
10
11
10
00
11
11
00
11
10
10
10
10
00
00
10
10
00
00
00
10
11
11
10
10
11
00
00
00
10
10
11
10
00
10
00
00
00
00
10
11
01
11
10
10
11
10
00
00
10
11
01
11
10
10
00
01
01
01
10
10
00
10
01
01
11
10
00
11
01
00
10
01
00
00
11
00
10
01
01
10
10
00
10
10
01
11
00
11
01
11
00
10
10
00
01
11
10
00
10
10
00
00
01
10
00
10
00
01
10
01
10
10
01
01
01
11
10
01
01
10
10
11
00
01
01
11
11
10
00
11
01
10
00
01
10
10
01
00
10
10
10
10
01
10
01
10
11
10
00
00
00
00
11
00
10
10
00
00
11
00
00
00
10
00
00
10
01
01
10
00
00
00
00
00
10
10
00
00
00
10
00
00
10
00
11
01
00
01
10
11
00
11
10
11
10
00
00
11
01
01
10
11
11
10
00
10
00
01
10
11
01
01
10
00
10
10
00
10
01
00
10
00
11
11
11
00
11
00
11
10
10
00
00
10
01
01
10
00
10
11
01
01
10
10
00
10
10
11
10
00
01
00
10
00
11
00
10
10
01
00
10
00
01
00
10
10
01
01
10
00
00
00
10
00
11
11
00
00
10
10
01
00
11
10
00
11
01
00
11
00
00
10
00
01
01
10
10
10
00
10
11
00
00
11
10
00
10
10
11
10
10
00
01
10
01
01
00
01
01
10
10
10
01
10
11
00
11
10
01
00
10
11
00
11
00
00
00
11
01
00
10
10
11
10
00
10
00
11
10
10
01
10
10
01
10
00
10
11
10
00
00
10
10
00
10
00
00
01
10
00
00
10
10
11
10
00
11
10
00
10
10
00
00
11
11
11
00
01
00
11
00
00
00
10
10
00
01
11
10
10
10
11
00
10
00
00
11
00
01
10
10
00
00
00
10
00
00
00
01
10
11
00
11
00
01
00
10
00
00
01
10
11
00
10
01
00
00
00
00
10
00
00
10
11
10
00
11
10
11
10
11
00
00
00
00
10
11
10
11
00
01
00
10
00
01
00
10
10
10
01
00
10
00
00
00
10
01
00
10
01
10
00
01
11
00
01
01
01
01
11
10
10
10
01
00
10
10
00
00
00
01
11
00
11
10
10
00
10
00
10
10
00
10
00
00
01
01
10
10
00
11
00
11
11
11
11
10
10
00
01
11
11
11
11
10
10
10
11
10
00
01
10
10
00
10
00
00
10
00
00
00
10
10
00
10
11
00
00
00
10
11
00
00
10
10
00
00
11
11
10
00
00
01
01
01
00
10
10
00
10
10
10
01
01
11
00
10
01
10
01
10
10
11
00
10
01
10
00
00
10
00
10
10
11
10
01
00
01
10
10
01
10
10
01
11
10
01
01
10
00
00
10
10
00
00
11
00
00
10
11
10
00
00
10
00
01
00
11
10
01
10
01
00
11
11
01
11
00
01
11
10
00
00
10
10
10
00
11
10
00
10
00
00
00
10
10
00
10
00
00
10
00
01
00
11
11
01
10
00
00
11
01
00
10
10
00
10
10
00
00
10
10
11
00
00
10
11
10
11
10
00
00
11
10
11
00
10
01
00
00
10
11
00
00
11
10
00
10
10
10
00
10
01
00
10
10
10
01
00
11
10
10
01
10
00
00
01
10
10
00
11
10
01
10
01
11
01
00
10
01
00
11
10
00
00
00
00
10
10
00
11
00
00
00
10
00
10
11
10
10
01
01
11
11
01
11
00
00
10
00
00
00
10
10
11
00
00
10
11
10
10
00
00
10
11
00
10
10
11
10
01
10
10
01
00
11
00
01
10
01
01
00
10
10
01
00
00
01
11
01
00
11
10
11
10
01
11
10
00
10
01
00
10
11
00
10
11
00
10
01
10
01
10
01
00
10
10
00
10
10
01
01
10
01
00
10
00
10
11
00
11
10
00
11
11
00
10
10
00
10
10
00
11
00
10
01
01
10
10
01
10
10
01
11
01
01
01
11
01
00
00
00
01
10
10
00
10
00
10
00
00
01
11
01
01
10
01
11
10
00
10
10
00
11
10
01
00
10
00
01
00
10
01
00
10
00
00
11
00
10
10
11
10
01
10
00
01
00
11
01
10
10
00
00
01
00
11
10
10
00
00
00
10
11
00
11
10
10
01
01
10
01
11
10
10
01
11
00
00
00
10
11
00
00
10
10
10
01
10
10
01
00
00
10
11
00
01
01
00
10
11
00
00
00
10
11
10
00
01
00
10
00
11
10
00
01
11
01
00
10
10
10
01
01
10
00
01
10
00
00
10
10
11
01
01
11
10
11
10
01
00
10
01
00
10
11
10
01
00
00
01
00
10
10
11
00
00
10
01
10
11
01
00
10
10
11
01
10
10
00
10
10
10
11
11
11
10
00
10
10
11
11
11
00
01
01
00
10
00
10
11
00
10
00
11
00
00
00
10
01
10
01
11
00
10
00
00
10
10
00
11
00
11
10
00
11
11
11
01
01
10
10
00
00
00
11
10
00
00
11
01
01
10
00
11
11
10
00
00
10
10
10
11
00
10
00
00
00
00
10
11
00
10
11
00
00
01
00
00
10
10
01
10
10
10
11
00
01
10
11
00
00
10
10
01
01
11
01
11
00
00
00
00
00
10
10
00
01
10
01
00
11
01
10
11
10
00
00
00
10
11
10
00
01
00
00
11
01
10
10
01
00
11
01
11
01
01
10
00
11
11
01
00
00
00
10
10
01
11
10
10
11
11
10
11
01
01
00
00
11
10
10
00
10
01
00
11
00
01
10
10
10
01
00
11
11
01
00
11
00
10
10
01
00
10
01
10
10
00
11
10
11
01
01
01
00
01
10
10
11
10
00
00
10
00
00
10
10
00
00
11
01
10
11
01
11
01
11
10
01
10
11
00
00
10
10
00
00
00
10
10
10
00
00
10
10
00
01
10
01
01
11
10
01
00
10
10
01
10
10
01
10
10
00
10
00
00
00
10
01
10
01
01
00
00
10
10
01
11
10
00
00
00
00
01
00
11
10
00
10
00
00
10
00
01
00
00
01
10
10
00
00
10
01
10
10
00
01
10
10
00
11
11
10
11
01
10
00
01
01
11
01
00
11
10
10
01
00
10
10
10
00
10
00
10
01
00
10
10
00
00
11
00
10
10
01
10
00
10
00
10
01
11
00
10
10
10
10
10
10
00
01
00
00
00
00
00
11
10
11
10
10
10
10
00
01
10
01
10
01
10
00
10
10
10
11
00
00
11
11
10
00
10
01
10
00
01
10
01
10
01
01
00
00
00
10
00
01
11
01
11
11
01
10
11
00
00
00
11
10
01
11
10
00
10
11
11
10
00
01
10
01
10
10
00
10
10
10
11
10
10
00
01
00
11
00
11
00
00
11
10
10
01
11
01
11
00
00
01
11
01
10
10
00
00
10
10
00
11
01
10
10
10
00
00
01
10
10
11
11
10
01
11
10
10
11
01
00
10
10
10
00
11
01
00
10
11
10
10
00
00
11
11
11
00
10
10
10
01
01
11
10
10
00
11
00
01
11
11
00
01
11
11
10
00
00
11
11
01
01
10
10
10
01
10
10
01
00
10
10
01
00
10
10
00
00
11
00
11
10
00
01
10
00
00
00
11
11
10
10
11
00
10
01
01
10
00
00
10
01
00
00
00
00
00
10
11
00
01
10
10
10
10
10
01
10
11
00
00
11
10
01
10
00
01
11
10
00
11
01
00
10
10
11
00
00
01
00
10
10
10
00
00
00
00
00
01
10
11
01
01
00
00
00
00
00
10
11
00
00
11
01
00
11
00
10
11
00
10
10
00
00
00
10
11
00
00
11
10
10
00
00
10
00
10
10
10
00
01
00
00
01
11
10
10
11
01
01
00
10
11
00
00
10
10
00
10
00
00
10
01
10
10
00
00
00
00
10
00
11
10
01
10
10
10
10
10
00
10
10
10
10
00
10
00
00
01
11
01
10
10
00
10
10
10
10
00
11
11
00
00
10
10
11
01
00
11
11
10
10
10
01
11
11
01
00
10
00
11
10
00
01
10
10
00
00
00
00
11
01
10
00
01
00
00
10
00
01
10
01
11
10
11
01
01
11
11
11
00
01
01
10
11
01
00
00
10
10
10
10
00
00
10
01
10
10
00
11
00
00
00
00
10
11
00
01
11
01
11
10
00
10
01
00
00
10
11
00
10
10
00
10
10
00
10
10
10
00
01
11
10
00
10
10
00
00
11
01
01
10
00
00
11
10
10
00
00
00
10
10
00
00
10
00
10
11
00
01
01
11
10
10
10
10
00
00
00
11
10
10
11
10
01
00
01
10
10
00
11
10
01
10
01
10
10
10
00
00
00
01
10
00
00
10
00
11
10
00
01
10
11
00
10
01
11
11
00
10
11
10
10
10
01
00
11
10
01
10
11
11
01
11
10
10
00
11
00
00
10
10
01
01
10
11
10
11
00
11
10
11
00
01
11
11
00
01
10
11
01
01
11
00
01
10
00
11
11
00
00
00
10
10
00
11
00
00
00
00
10
01
00
00
00
10
00
11
10
11
10
01
00
00
00
10
10
01
00
11
00
00
00
01
10
01
11
10
00
01
00
10
00
11
01
01
00
11
11
00
10
10
00
01
00
10
10
00
00
10
01
10
00
10
10
00
10
01
11
00
00
11
00
01
10
11
11
10
01
00
10
01
10
10
00
11
10
00
10
01
00
01
10
00
00
10
10
10
00
01
10
00
01
00
10
11
10
11
10
10
10
01
00
10
01
00
00
10
10
10
00
10
00
11
10
00
10
11
00
10
10
11
01
00
10
11
10
00
00
11
10
00
01
00
10
11
10
00
00
11
00
10
00
11
10
10
01
00
00
11
10
01
00
10
10
00
10
00
01
10
00
00
11
00
10
00
11
00
01
01
10
01
00
01
10
00
01
10
00
00
11
10
00
01
10
10
11
10
01
10
00
00
00
10
11
01
00
10
10
00
00
11
11
01
10
00
10
00
10
01
10
11
00
01
10
10
00
10
10
01
00
10
10
00
10
01
10
00
00
01
01
10
00
01
00
11
00
11
11
01
01
00
00
01
01
11
11
00
00
10
00
00
10
10
01
01
11
01
10
10
01
10
00
10
10
00
01
10
01
00
10
10
10
10
00
00
10
10
10
00
10
00
11
11
00
00
01
10
10
00
01
00
10
10
11
11
11
11
01
00
10
10
00
10
10
00
00
11
11
00
00
01
11
01
00
01
00
01
10
00
11
10
01
10
00
00
00
00
10
10
00
11
00
10
01
00
11
10
00
11
00
01
10
01
01
00
00
10
00
10
10
00
10
10
00
11
11
00
00
10
00
01
00
00
10
10
10
00
00
10
10
01
10
11
10
01
00
01
00
11
10
10
01
01
00
11
10
00
10
10
01
00
11
10
11
00
01
00
00
10
10
00
00
10
11
10
00
00
10
01
10
10
00
11
10
01
01
01
10
11
10
00
10
11
11
00
00
10
01
11
10
00
10
11
01
01
00
01
10
00
01
10
10
00
11
10
01
10
11
10
11
00
00
00
10
11
00
11
10
00
01
10
01
11
10
00
11
10
01
11
10
00
10
10
11
01
00
00
00
10
10
01
00
11
00
00
10
11
00
10
00
01
00
01
10
10
00
00
01
10
10
10
10
01
00
00
00
00
10
10
10
00
00
10
01
11
10
01
10
00
00
00
10
01
01
10
00
10
11
10
01
00
10
10
01
10
00
11
10
10
10
10
11
00
00
10
10
00
00
00
00
01
10
10
10
00
00
10
01
01
10
10
11
00
10
00
10
10
00
01
00
01
00
00
00
10
00
01
10
10
00
11
00
00
10
00
00
10
10
10
00
00
11
00
01
01
10
10
00
00
00
00
10
11
00
00
11
00
11
11
00
00
11
10
10
00
00
00
00
10
10
00
01
00
00
00
11
01
10
11
00
10
00
10
00
10
10
01
00
01
00
10
01
01
00
00
00
11
11
00
10
10
10
10
01
00
11
01
10
10
10
00
00
10
01
00
01
10
10
10
10
10
10
00
00
10
10
01
10
01
01
10
01
00
01
10
11
00
10
11
00
00
10
10
01
10
11
00
11
10
10
10
00
10
01
01
00
00
10
11
10
01
10
11
00
00
00
00
11
10
00
10
10
01
00
10
01
01
10
00
00
10
00
00
10
11
01
00
00
01
10
00
11
10
10
00
11
00
01
10
11
00
00
10
01
11
10
10
00
10
10
11
10
10
10
00
11
00
00
01
01
11
10
10
11
00
00
10
10
10
00
10
01
01
00
10
11
11
11
00
00
10
10
10
00
00
00
11
01
10
01
00
10
10
10
10
01
00
10
00
00
00
00
01
11
00
00
00
10
10
01
10
10
10
10
10
00
11
00
10
10
01
11
11
11
10
00
00
00
01
10
10
01
00
01
10
00
10
01
10
10
00
11
11
01
00
11
00
01
10
10
11
00
10
00
00
11
00
10
11
00
00
10
00
00
00
00
11
01
10
10
01
00
00
10
10
00
10
10
01
00
10
00
11
00
00
10
10
10
01
10
00
00
00
10
10
11
10
10
00
10
00
00
11
00
10
10
00
10
10
11
10
01
10
11
00
10
10
01
01
11
10
00
01
00
10
10
00
00
10
11
00
10
10
00
00
10
10
11
01
00
01
10
11
11
10
01
01
00
10
00
01
11
11
01
10
10
01
10
11
00
10
00
01
01
01
10
10
00
00
00
10
10
00
01
00
01
00
01
00
01
10
01
00
11
10
10
01
01
11
11
11
10
10
10
00
01
10
01
00
10
01
10
00
10
10
00
00
10
10
10
10
00
01
01
10
00
11
10
10
11
00
01
10
10
00
00
10
00
11
01
01
00
10
01
00
10
10
01
00
00
01
10
10
11
10
00
01
11
10
10
00
00
01
01
10
11
01
10
10
01
00
10
11
01
01
01
11
00
11
00
10
10
00
11
10
00
00
00
10
01
10
10
00
10
11
00
01
01
00
01
00
10
11
00
11
11
00
01
10
10
10
01
01
10
10
00
01
01
10
10
00
00
10
10
00
01
11
11
11
10
00
11
11
00
10
10
00
10
10
00
01
01
11
00
01
10
10
01
01
11
01
11
10
10
11
00
00
11
10
00
00
00
00
10
00
00
10
00
00
10
11
10
01
11
01
00
10
10
00
00
11
10
00
01
10
10
00
00
00
00
10
10
01
10
00
01
01
11
10
10
10
00
10
00
10
10
00
10
00
10
10
00
00
01
00
01
11
00
01
01
11
10
10
01
00
10
10
01
00
01
00
11
00
00
01
10
11
00
00
00
00
10
11
11
10
10
10
10
10
10
00
10
10
01
00
10
11
10
00
00
10
10
00
10
01
11
00
00
10
10
00
00
00
11
01
00
01
10
00
01
10
10
00
00
10
01
10
01
11
00
10
01
01
11
10
00
11
11
00
00
00
10
00
00
10
00
11
10
10
01
00
01
10
11
00
10
10
00
10
10
10
11
10
00
00
10
11
10
00
10
11
01
11
01
11
11
01
01
00
00
11
00
00
10
00
10
10
01
10
11
10
10
00
00
10
00
00
10
01
10
00
00
01
01
01
00
10
00
01
00
11
00
10
00
11
00
10
00
01
01
10
11
11
00
10
00
10
00
10
10
00
00
10
01
10
10
00
00
01
00
10
11
00
11
00
00
10
01
00
11
10
01
00
11
10
00
01
10
01
01
10
10
00
10
01
01
10
10
10
10
01
11
00
00
01
10
10
11
01
00
00
10
10
00
10
00
10
10
11
00
00
10
00
10
10
10
01
00
10
10
00
10
11
11
10
11
00
01
10
00
00
11
10
00
11
10
01
00
00
01
01
10
00
00
11
10
01
10
00
01
10
11
01
10
10
00
00
01
01
10
11
11
10
00
01
00
11
00
00
10
00
01
10
10
00
00
00
11
11
01
11
00
01
00
01
11
01
00
10
10
01
01
10
10
00
01
01
00
00
10
10
00
11
11
01
01
10
01
00
10
11
10
01
11
10
00
10
01
00
00
11
11
01
00
10
00
01
01
10
10
00
10
11
00
00
11
10
01
11
00
10
01
11
00
10
11
00
00
10
10
00
00
10
10
10
00
10
11
01
00
10
11
10
10
10
00
01
11
10
01
10
00
00
01
00
00
01
00
01
10
10
10
10
11
00
01
10
11
01
10
00
10
10
00
00
01
10
00
00
11
10
10
00
10
00
10
11
00
00
01
10
11
10
10
00
01
11
00
00
00
00
11
10
11
01
11
10
00
10
10
11
00
00
00
10
10
01
01
10
11
00
00
00
11
10
01
00
10
01
10
10
00
10
10
10
10
10
01
01
00
10
10
01
00
00
10
00
10
00
11
00
00
10
10
10
00
00
11
01
11
00
01
10
01
00
10
01
10
10
01
00
10
00
01
10
01
00
00
10
11
10
11
10
00
00
10
01
00
00
10
01
00
10
01
10
01
10
10
00
10
01
00
01
10
00
00
01
10
10
01
01
10
10
01
10
00
00
10
00
00
10
01
00
11
11
10
00
10
10
10
00
11
01
00
10
11
00
01
10
10
11
01
00
10
10
00
10
00
10
10
10
11
01
10
11
00
01
00
11
00
00
00
10
00
11
01
00
11
01
10
10
00
10
00
11
11
01
00
10
11
11
00
00
10
10
10
10
10
00
00
10
10
10
00
10
00
10
10
10
00
11
01
01
10
00
00
10
11
00
10
10
00
01
00
00
10
10
01
11
00
10
00
01
00
01
01
10
01
00
10
10
10
11
11
00
01
10
11
01
10
01
00
11
10
11
11
11
00
10
10
00
01
10
11
01
11
00
00
01
10
10
00
10
01
11
11
10
11
00
10
00
11
10
00
10
10
00
01
00
01
00
00
10
10
10
00
10
10
10
01
10
11
10
00
00
01
10
11
00
00
10
00
00
10
10
00
10
10
10
10
10
00
01
10
01
10
01
00
01
00
11
10
00
10
11
01
00
10
10
00
01
00
10
10
00
11
00
01
00
00
00
01
01
10
00
00
00
00
01
00
10
11
00
10
00
11
01
11
00
10
01
00
00
00
11
10
00
00
11
00
10
00
00
00
10
01
00
00
11
10
01
00
01
11
00
01
10
00
10
10
00
00
00
11
00
11
11
11
10
10
11
10
01
11
01
00
01
10
00
01
10
00
10
10
00
00
01
10
11
01
10
00
00
00
00
00
11
00
10
11
11
11
01
10
11
01
11
10
00
11
11
01
10
00
00
10
11
00
11
10
00
01
00
11
10
00
01
11
00
00
10
10
01
10
10
10
00
11
10
10
01
00
00
00
00
10
00
10
10
00
10
00
10
10
10
10
00
00
01
10
10
10
00
00
10
00
10
00
01
00
11
11
00
00
11
11
00
11
11
11
11
00
10
00
10
01
01
11
11
10
00
10
01
00
10
10
11
10
11
00
01
11
10
00
00
00
01
10
10
10
10
01
10
10
01
01
01
11
10
10
10
01
00
10
10
01
10
10
00
00
10
00
00
10
00
10
00
00
00
01
10
01
00
11
11
10
11
10
11
01
10
11
00
00
00
10
10
10
10
01
00
01
00
11
10
11
10
10
00
11
00
01
00
11
00
10
00
00
10
10
11
00
00
10
10
01
10
10
01
10
00
10
10
01
00
11
10
00
11
10
11
01
00
11
00
10
00
10
10
01
00
01
10
11
11
01
10
11
01
00
11
11
00
01
11
10
00
01
10
00
10
11
01
00
00
11
10
00
00
10
00
10
00
01
00
10
00
00
10
00
00
10
10
10
10
11
10
10
00
10
10
01
00
10
10
11
10
00
00
10
10
00
01
00
00
11
01
10
10
00
00
10
10
01
00
00
11
10
00
01
00
10
10
00
00
01
10
10
00
00
01
00
10
11
00
01
10
10
11
10
10
01
00
10
11
00
11
00
00
00
01
10
10
11
01
11
00
00
10
11
10
10
10
01
10
11
11
10
00
10
10
00
01
10
00
10
10
10
11
10
10
11
10
11
00
10
10
10
01
10
00
10
11
11
00
00
00
10
00
10
10
00
00
10
00
10
01
10
10
00
00
00
10
10
00
11
10
01
10
01
01
00
01
11
11
01
10
01
00
01
10
00
11
10
10
00
01
10
11
01
10
00
01
01
10
00
01
10
10
00
00
01
00
10
00
10
00
00
11
10
10
10
01
00
10
00
10
00
00
10
00
10
10
10
11
10
11
00
00
00
00
00
11
10
00
10
00
01
01
00
10
00
00
10
01
10
00
01
10
01
10
01
00
00
10
11
01
00
11
11
00
10
10
00
10
00
00
10
11
00
10
01
10
11
11
00
00
00
00
11
01
00
11
11
00
00
00
10
01
10
11
11
10
10
11
10
10
00
10
00
00
11
10
10
00
10
10
10
00
00
10
10
00
10
00
00
01
10
10
10
11
10
11
10
01
10
01
11
00
11
10
10
00
00
11
11
00
00
00
10
10
10
10
10
00
11
00
01
11
10
00
00
10
10
01
01
10
01
00
00
11
11
00
00
10
10
10
00
01
00
10
01
00
10
11
10
11
00
11
11
00
00
00
00
10
01
00
01
00
00
10
10
11
10
10
11
00
10
01
00
00
01
10
10
10
00
11
01
10
01
00
00
10
00
00
10
01
11
00
10
01
10
11
00
00
10
11
00
00
00
10
11
10
10
11
10
00
10
10
10
10
11
00
10
10
00
10
10
11
01
11
11
11
10
00
11
00
11
10
00
00
11
10
00
11
11
10
00
00
10
00
00
11
01
10
10
00
01
00
00
00
10
10
10
00
00
10
11
10
01
10
00
00
10
01
11
10
01
00
00
01
11
11
00
00
01
10
00
00
10
10
10
11
00
10
00
10
11
10
11
11
01
01
01
01
10
00
00
10
10
11
01
00
11
00
10
00
10
10
11
10
00
01
00
10
10
10
00
01
11
11
10
01
11
00
10
01
00
00
01
00
10
11
01
01
00
10
11
01
10
00
10
10
01
10
00
00
11
01
10
10
10
10
10
10
00
10
01
00
11
01
10
10
00
01
11
00
01
00
10
11
00
10
00
10
00
00
10
00
11
01
11
00
10
00
10
11
00
10
00
00
00
10
11
11
10
00
00
11
10
00
10
00
00
01
00
00
10
00
10
00
00
10
00
00
11
10
01
10
11
10
10
00
01
10
11
00
01
00
11
00
01
11
10
11
00
00
10
11
00
00
10
00
10
10
00
10
10
10
00
10
00
10
01
01
00
00
00
00
10
11
00
01
00
01
00
00
01
11
11
01
10
10
00
10
10
10
10
00
00
01
10
00
10
11
01
10
10
01
10
11
11
00
00
00
11
10
00
00
01
01
10
10
11
10
10
11
10
00
10
10
01
10
00
01
11
10
00
00
10
01
00
11
10
00
00
01
10
10
01
00
11
00
01
01
10
10
10
11
00
11
10
11
01
00
00
10
11
01
01
10
01
10
01
00
01
00
10
10
01
10
11
00
00
01
10
11
00
00
10
01
01
10
00
11
00
00
10
11
11
00
00
00
10
10
00
00
10
10
11
11
00
11
01
00
01
10
10
11
00
01
10
01
00
11
01
10
00
00
00
11
10
10
10
11
01
00
00
00
01
11
10
01
11
01
00
10
00
10
10
00
00
10
10
11
00
00
00
00
11
00
00
10
10
00
10
01
01
00
00
11
00
10
11
10
10
11
01
00
10
00
00
00
10
10
00
00
10
00
11
10
00
10
10
01
10
00
00
01
11
01
01
10
10
01
00
10
00
01
10
01
10
01
00
10
00
00
01
11
00
00
11
10
11
10
10
00
01
00
10
01
01
11
10
00
11
00
00
01
10
11
01
00
10
11
00
00
00
10
01
11
10
10
00
01
01
10
01
10
10
00
01
01
10
00
00
00
10
11
01
00
01
10
11
00
00
00
11
11
00
00
00
01
10
00
10
11
10
01
10
00
00
00
00
10
10
01
10
11
10
10
00
10
00
10
10
00
11
10
01
00
10
10
11
01
10
10
00
00
00
10
01
10
10
11
10
00
10
11
01
00
11
11
00
10
00
00
10
10
00
10
01
11
11
10
10
00
10
10
00
00
10
11
11
10
10
11
11
00
11
10
00
11
00
00
10
00
10
01
10
01
01
10
11
00
10
10
00
10
11
10
00
00
11
01
11
01
01
01
10
10
11
01
00
10
00
01
10
11
00
10
11
10
11
10
10
00
10
10
00
11
11
01
01
11
01
11
00
00
11
01
00
10
11
00
11
10
00
01
10
01
10
11
01
10
00
00
10
11
10
00
01
00
10
00
11
10
10
10
01
10
00
01
11
00
11
10
00
10
11
00
10
10
00
10
01
00
01
01
10
01
00
10
01
00
10
10
00
00
00
10
10
00
10
10
10
00
11
01
00
00
00
11
11
01
10
10
10
10
10
00
01
10
10
10
00
11
10
00
00
11
11
10
10
11
10
00
10
00
00
00
00
11
00
11
00
10
10
01
11
10
10
00
00
10
10
11
00
01
10
10
00
00
10
10
10
10
00
11
00
10
11
01
00
10
00
10
10
01
01
10
00
10
10
01
01
00
01
10
10
10
01
00
00
10
11
10
01
10
11
10
00
00
10
00
01
01
10
01
00
10
10
10
01
10
10
00
11
10
01
11
01
10
10
11
00
00
11
01
00
11
00
00
10
10
01
01
00
11
10
10
10
10
10
00
00
01
00
00
00
01
00
00
11
11
00
00
10
11
00
00
10
00
10
00
00
00
10
10
10
00
00
10
00
00
10
00
00
01
00
01
00
11
00
10
00
10
10
01
10
10
10
11
00
01
01
10
11
10
00
01
00
10
11
00
00
00
01
10
11
01
10
00
01
10
10
11
01
10
10
10
00
00
10
00
00
00
10
10
11
00
01
10
11
01
10
10
00
10
10
10
10
11
10
00
00
00
10
11
10
00
00
11
00
01
11
11
10
10
00
10
00
11
10
01
00
10
01
01
10
00
10
00
10
10
11
11
01
00
11
10
00
00
00
00
10
10
00
01
10
01
01
10
00
10
11
00
10
11
00
00
01
10
00
11
00
00
11
10
01
00
00
01
10
01
11
00
00
10
10
00
01
10
10
00
01
10
11
00
11
11
10
10
01
11
00
00
01
10
10
00
10
00
10
11
10
00
11
11
01
00
00
10
10
01
01
00
10
10
01
01
00
11
10
10
10
00
01
10
10
01
01
01
10
11
00
10
01
10
10
10
10
01
00
10
00
10
10
10
01
11
10
01
00
11
11
10
00
01
10
10
11
00
00
01
10
11
10
10
11
01
11
10
10
01
00
10
10
10
00
00
11
10
00
10
00
00
10
10
01
10
11
00
11
00
10
10
10
10
00
10
00
00
10
01
10
11
11
00
10
11
10
00
00
10
10
00
01
10
00
00
01
10
10
00
00
00
00
00
10
10
00
10
10
00
11
01
01
10
11
00
10
00
00
10
10
11
00
01
10
00
00
10
00
11
00
00
01
10
00
10
10
00
10
10
01
01
00
01
00
11
10
10
10
11
10
00
10
10
11
00
01
10
11
01
10
10
10
00
00
10
01
10
11
10
11
00
10
10
10
10
01
10
01
00
00
00
10
10
00
11
11
10
01
10
11
11
01
00
10
10
00
10
10
00
01
10
00
11
10
00
10
11
10
01
00
00
10
00
11
10
00
10
11
00
01
01
11
10
01
10
10
10
00
00
10
00
00
00
11
11
00
01
10
10
10
10
01
00
11
00
00
01
10
11
01
11
10
10
10
10
10
00
01
10
11
01
01
00
10
10
00
11
11
00
10
10
00
01
10
00
10
01
11
11
00
10
11
01
01
10
10
00
10
11
00
11
00
10
00
10
11
10
00
00
00
10
01
00
10
10
00
10
01
00
00
00
11
11
01
01
00
00
10
01
10
00
00
10
00
01
10
00
11
10
10
00
10
00
00
10
11
10
01
00
00
10
00
00
00
11
10
00
00
10
10
10
11
11
00
11
11
00
11
00
00
10
10
00
01
10
11
10
00
10
10
00
10
00
10
00
00
11
00
10
10
00
00
11
01
00
10
01
01
00
10
10
00
00
11
10
00
10
10
00
01
10
11
11
01
11
01
00
00
00
11
10
00
00
11
10
10
00
00
10
11
01
10
00
11
00
10
10
11
01
10
00
01
10
00
01
00
00
00
10
10
01
10
00
10
00
10
00
10
10
01
00
01
00
11
01
10
10
10
01
00
01
10
10
00
10
00
00
00
00
00
00
01
10
11
00
10
00
00
00
11
00
11
10
01
00
00
00
11
11
00
01
10
10
11
10
11
00
00
00
10
11
01
11
10
11
10
01
10
01
10
00
01
10
10
00
10
11
00
00
11
01
11
10
10
10
01
01
00
00
10
11
00
00
01
11
11
01
00
00
11
10
00
00
10
00
01
10
10
10
10
10
10
11
00
01
00
10
01
10
10
00
00
11
10
10
10
00
10
01
00
10
10
00
10
10
00
10
10
10
10
10
00
00
00
10
10
00
10
10
11
10
10
11
10
00
10
01
10
11
00
01
01
10
10
01
10
11
01
00
10
10
11
00
10
11
00
00
00
11
10
01
11
00
11
11
00
00
10
10
11
10
00
10
00
01
11
10
11
01
10
10
00
00
01
00
10
10
00
10
10
11
01
00
11
00
10
00
00
10
00
00
10
01
00
11
10
00
00
00
11
00
11
10
00
01
01
00
10
10
10
11
01
10
00
10
00
01
10
10
01
00
10
11
11
00
00
10
11
00
00
00
10
00
10
01
01
00
10
00
00
11
10
00
11
00
11
11
11
01
10
11
00
01
10
00
00
01
11
11
10
10
00
10
01
01
10
10
01
00
10
00
00
11
10
11
11
11
00
00
00
00
10
10
00
00
11
11
11
10
11
01
11
10
00
00
00
01
10
11
10
01
00
01
00
11
00
00
10
11
11
00
10
10
01
11
10
00
00
00
11
10
00
01
00
00
10
00
11
10
10
10
10
10
11
11
00
01
11
11
10
01
10
10
11
00
10
00
01
11
11
11
01
10
00
00
10
11
00
01
01
00
00
00
11
10
10
01
10
11
00
00
11
11
00
00
00
10
01
11
00
01
11
11
11
00
00
10
10
01
01
10
10
00
10
11
00
11
10
00
10
10
00
00
11
10
00
10
11
10
11
00
10
10
11
01
01
01
00
00
10
11
00
11
10
01
00
01
10
11
00
01
10
10
01
00
10
10
00
01
11
11
01
00
10
10
00
00
10
11
00
11
11
00
10
00
01
10
00
00
00
10
01
10
11
10
01
00
10
11
01
10
00
00
10
11
11
01
10
00
00
00
00
00
01
10
01
00
00
10
11
00
10
11
10
00
01
10
00
01
10
00
00
11
00
01
10
00
10
10
10
00
10
10
10
01
10
00
10
10
10
00
00
10
00
00
10
01
11
01
11
00
01
00
01
01
00
10
10
00
00
10
10
01
00
00
00
11
10
01
11
01
01
10
00
00
01
10
10
10
00
00
10
01
01
00
10
00
10
00
10
11
01
01
11
11
00
10
10
00
01
00
10
10
00
00
00
10
10
00
00
10
10
11
00
10
00
00
10
00
00
00
00
10
00
10
10
00
11
10
01
01
01
00
00
11
10
10
00
00
10
11
11
00
10
11
00
10
10
00
00
01
10
10
11
10
00
10
11
00
01
10
11
10
11
10
00
00
10
01
11
01
00
01
10
10
00
00
10
10
01
11
10
01
10
00
00
01
10
10
00
00
11
10
00
10
10
00
11
10
00
00
01
10
10
10
10
10
01
10
11
10
11
10
00
00
11
10
00
00
01
01
11
01
10
01
01
11
10
11
00
01
11
10
01
00
11
10
10
10
00
10
11
10
00
11
10
10
10
00
11
10
10
01
10
01
00
11
00
00
00
00
11
11
11
00
10
11
10
00
11
01
00
00
01
10
10
10
10
00
10
00
00
11
00
00
01
01
10
11
01
10
00
10
00
00
10
10
10
10
00
10
00
10
11
00
01
01
00
11
00
01
11
10
00
11
00
01
00
11
11
11
01
00
10
11
01
00
10
10
00
01
10
11
01
00
00
01
00
11
11
00
10
10
00
01
10
10
01
11
10
11
00
01
01
00
11
11
01
00
10
10
00
01
10
10
10
10
00
11
10
10
00
11
00
10
10
00
00
01
10
01
10
10
01
01
10
01
00
11
10
01
11
01
00
10
01
01
10
01
11
00
10
10
01
10
11
10
11
11
01
00
00
01
11
00
01
00
10
10
00
10
10
10
00
11
11
11
10
01
01
10
00
00
00
10
01
10
11
00
00
10
10
01
00
01
11
01
00
01
00
00
10
10
10
01
00
11
10
00
01
10
01
00
10
10
00
01
10
01
01
00
10
10
01
10
11
00
10
00
00
10
01
01
00
10
10
00
11
10
00
01
11
11
11
00
11
11
10
10
01
01
10
00
01
10
10
00
10
01
10
01
00
11
00
00
11
10
01
00
11
11
10
10
00
10
10
10
00
01
11
10
11
10
10
10
00
00
00
00
10
10
10
00
00
10
11
10
00
00
11
00
00
00
00
10
01
00
11
10
10
00
11
10
10
10
10
00
00
10
01
00
10
10
00
01
00
00
10
11
00
10
00
01
10
01
11
10
10
01
10
11
01
00
00
01
10
11
00
00
00
00
00
11
10
01
01
11
01
10
01
00
00
11
11
00
00
10
00
01
11
11
00
10
10
10
01
00
11
10
11
00
10
00
01
00
10
10
00
11
11
00
01
10
00
01
10
01
10
00
00
10
10
00
00
10
00
00
10
10
00
00
00
00
11
11
11
00
00
10
01
10
00
10
10
00
00
11
11
10
01
00
11
00
10
10
10
10
00
11
11
00
00
10
01
00
00
10
00
10
10
10
11
01
01
10
00
10
00
01
00
10
10
10
00
01
11
00
00
00
00
11
00
00
10
11
00
01
00
10
01
00
00
00
00
00
00
01
10
11
00
01
00
00
01
10
11
10
00
10
11
10
01
00
11
10
10
11
11
10
01
01
00
00
10
01
00
10
10
10
01
00
11
10
00
00
10
00
00
11
11
00
00
10
00
11
10
00
00
00
10
01
01
00
11
10
00
11
10
00
10
00
11
01
11
00
01
10
11
10
00
00
11
11
01
10
10
01
00
10
10
10
11
11
11
11
00
01
10
10
00
00
10
11
00
00
00
10
10
11
00
00
01
10
10
10
00
00
11
11
01
11
10
10
00
00
00
00
10
10
00
10
11
10
01
01
10
00
10
10
00
00
10
10
00
11
10
11
01
10
00
01
10
10
00
00
00
01
10
00
10
10
00
00
11
01
11
11
01
00
01
10
10
10
10
00
11
11
00
00
00
11
00
00
10
01
11
11
01
01
01
10
00
10
10
00
00
10
11
00
00
00
10
10
00
01
11
11
00
00
00
10
10
00
10
10
00
00
11
00
11
10
01
11
01
00
10
10
00
00
11
10
00
10
10
01
01
00
01
00
11
00
01
00
10
10
01
10
11
00
10
10
01
01
11
11
01
00
10
10
10
01
00
10
11
00
00
01
00
01
00
00
11
10
00
01
00
10
11
10
10
10
00
11
00
00
00
00
11
11
00
00
00
10
10
10
10
11
10
00
10
00
01
00
00
11
00
11
00
00
01
10
11
11
10
00
00
10
00
00
10
10
00
11
00
10
11
11
10
10
11
11
00
10
11
00
01
01
00
00
00
10
10
00
00
01
00
10
10
00
10
00
00
00
10
00
11
00
01
11
10
10
01
00
01
11
11
00
11
00
01
00
01
00
11
10
00
00
10
01
00
00
10
11
00
00
00
10
10
00
00
00
10
10
10
01
00
10
11
10
10
10
11
00
01
00
10
11
00
01
01
01
10
10
10
00
10
10
10
10
10
11
11
01
01
01
00
00
10
00
00
10
11
01
11
00
10
00
00
10
10
00
00
00
10
10
11
00
01
11
10
01
10
10
00
10
10
01
01
10
00
10
11
00
11
11
00
00
00
10
10
00
01
00
10
10
00
01
10
10
10
10
00
11
10
01
00
01
01
00
00
10
11
10
01
10
10
00
00
01
00
00
10
11
01
01
01
10
10
00
00
10
00
00
10
01
00
10
11
01
00
00
00
11
10
10
10
00
00
10
11
00
11
00
00
10
10
00
00
00
10
00
10
00
01
10
10
10
00
01
10
00
00
10
01
10
00
00
10
10
00
00
01
10
01
10
10
01
11
10
01
10
10
00
01
11
01
10
11
10
10
01
10
11
10
01
00
11
11
00
01
10
10
10
01
00
11
11
01
00
11
10
11
10
11
10
00
00
00
10
10
10
11
10
10
00
11
11
10
10
10
00
10
01
01
11
01
01
01
00
10
10
00
01
01
11
10
00
10
11
10
11
00
01
01
01
00
11
10
00
10
10
11
00
10
10
00
01
11
10
00
01
10
11
01
11
10
00
00
01
00
10
00
00
00
10
10
00
10
00
10
10
11
00
01
00
10
10
11
10
10
10
00
00
11
10
10
00
01
10
00
10
10
11
00
11
10
10
01
10
00
01
00
11
10
00
00
00
00
10
00
01
01
10
11
10
00
00
10
10
01
00
11
00
00
10
00
11
01
00
11
01
11
00
00
11
11
00
00
01
10
00
01
11
11
10
10
00
00
00
10
10
01
00
00
10
00
00
00
01
10
00
01
00
00
00
10
11
10
00
11
10
00
00
10
10
01
10
00
10
11
00
11
10
00
00
10
01
00
00
11
11
01
11
11
00
00
10
00
10
11
00
01
11
10
10
01
10
10
01
00
10
00
11
00
01
10
01
00
00
10
10
00
01
10
10
00
00
00
00
10
10
11
11
00
11
10
01
00
10
10
00
11
00
01
10
10
01
10
00
00
10
11
01
01
01
10
11
01
00
01
11
10
10
11
10
00
00
00
10
11
00
00
10
10
11
10
01
00
10
10
01
00
10
00
00
11
00
00
10
10
01
00
01
10
11
00
00
10
10
01
01
00
10
10
11
10
00
10
00
10
00
10
11
00
01
01
10
10
00
00
00
11
10
10
00
00
00
01
10
00
10
10
01
11
10
00
01
10
10
00
00
10
00
10
10
11
01
10
10
10
00
10
00
01
00
11
00
10
10
10
11
00
00
10
10
00
10
01
01
00
01
00
10
10
11
10
00
10
10
01
00
10
00
01
00
11
10
01
10
01
01
01
01
11
10
00
10
00
00
10
00
01
00
10
10
11
00
00
10
11
00
00
00
11
11
00
11
00
10
00
10
00
10
10
11
11
01
10
10
00
00
00
00
11
10
01
00
10
11
00
01
10
00
10
00
00
10
00
00
01
10
01
10
01
10
11
10
10
10
01
00
10
00
01
00
10
10
10
00
01
10
01
00
01
00
10
10
11
10
00
10
11
10
01
11
00
10
11
10
00
00
10
11
00
10
01
10
10
10
10
00
00
00
01
01
11
11
01
01
01
11
10
00
10
11
10
00
00
11
11
11
01
01
00
10
00
00
00
00
10
10
10
01
11
10
11
00
10
01
11
01
00
01
11
00
01
11
10
01
10
10
10
10
00
10
11
00
00
00
11
10
00
00
11
00
10
00
00
01
11
11
00
10
01
01
00
10
10
00
10
10
00
01
10
10
00
10
11
01
10
10
00
00
00
00
10
10
00
00
10
01
00
10
11
10
01
01
11
10
01
01
10
00
01
11
00
10
10
00
01
00
10
00
11
10
11
10
00
00
00
11
00
01
11
00
11
10
00
00
10
10
00
01
10
01
00
10
10
10
00
10
10
00
11
00
10
10
11
00
00
01
00
10
01
11
10
00
10
11
10
10
01
00
11
10
00
10
10
10
00
00
10
10
00
10
01
10
10
10
10
10
10
00
10
00
00
01
10
10
11
10
00
00
01
11
10
11
00
10
10
01
10
00
00
11
00
11
00
11
11
10
01
11
10
01
11
10
10
10
01
11
11
00
01
10
10
10
01
11
11
10
00
00
10
00
11
01
01
01
01
11
01
00
10
01
00
00
00
01
10
10
01
10
10
11
10
00
00
10
10
10
10
11
11
11
00
01
10
10
10
00
00
11
00
00
00
00
00
01
10
00
00
10
11
10
00
00
01
00
00
00
11
01
10
10
00
01
00
01
10
01
00
11
10
10
01
00
10
11
00
00
10
11
01
01
10
11
10
01
00
10
00
01
11
10
00
01
11
11
10
10
01
00
11
11
10
01
00
11
01
10
11
10
10
00
10
00
00
00
10
01
01
11
00
01
10
01
00
10
10
00
11
00
00
10
11
10
10
10
00
00
00
10
01
00
00
01
10
11
11
01
10
10
00
01
01
11
10
11
11
01
11
10
01
01
10
00
00
11
00
11
11
01
01
11
00
11
11
00
10
00
01
00
10
10
10
00
00
10
00
10
00
00
10
10
00
00
00
10
10
01
00
00
10
00
00
11
11
11
10
10
01
10
00
01
00
11
10
00
10
11
10
11
10
00
01
00
00
01
10
10
10
10
01
00
11
00
10
10
10
01
10
00
01
01
11
11
00
10
01
00
01
11
10
01
10
00
10
00
00
10
00
00
00
10
00
00
01
10
10
10
00
00
00
01
10
10
00
00
11
00
10
00
01
10
10
00
00
01
10
11
00
00
00
00
11
10
01
00
00
00
00
10
11
11
10
11
00
00
11
10
01
10
00
01
00
00
10
10
00
11
11
01
11
00
11
11
10
00
00
10
11
10
01
00
01
01
01
10
10
10
00
11
10
00
00
01
11
00
00
00
10
10
00
11
00
10
10
00
10
01
10
00
01
00
10
01
01
00
11
10
11
11
01
10
00
10
00
00
11
00
01
00
11
00
11
00
01
01
10
00
11
00
01
11
10
11
00
10
10
11
01
10
10
01
10
11
10
10
00
00
01
01
01
00
00
10
01
00
10
11
00
10
11
10
10
10
00
11
10
00
00
11
10
10
10
10
10
11
10
01
00
01
00
00
01
10
10
00
00
11
10
00
00
11
10
01
00
01
10
00
11
10
10
00
01
01
00
11
10
10
00
11
01
11
10
00
01
00
10
00
01
10
01
00
01
10
10
00
10
00
10
00
11
11
01
00
01
11
00
10
00
10
01
10
10
00
10
10
10
10
01
10
01
00
01
01
11
00
00
10
10
00
11
00
00
10
00
00
10
11
00
10
10
01
00
11
01
01
10
11
10
10
10
00
01
00
11
11
10
01
00
10
10
01
10
00
00
10
00
00
10
11
00
11
11
11
00
11
10
00
11
00
10
10
00
01
11
11
00
10
01
00
10
01
10
10
00
01
01
00
10
10
10
00
11
10
11
00
00
10
00
01
00
10
10
00
01
10
11
00
10
10
01
00
01
10
01
00
01
10
10
10
00
01
11
10
01
00
00
00
10
10
11
11
00
11
00
10
10
10
11
00
11
10
11
10
00
10
10
10
00
11
10
10
00
01
11
10
01
00
10
10
10
00
00
10
10
11
00
00
11
00
00
00
00
10
10
11
01
00
00
10
00
10
00
00
11
11
10
11
10
00
01
11
00
10
10
00
00
11
11
10
10
11
10
11
10
01
10
11
10
10
00
00
10
01
11
11
11
11
00
00
00
10
01
11
11
01
11
00
10
01
01
11
00
11
10
00
10
11
00
00
10
10
10
10
10
01
11
10
10
10
11
00
00
10
10
11
00
00
00
10
10
11
00
01
00
00
11
11
01
01
10
10
10
10
00
10
11
00
10
00
00
11
10
00
00
10
11
11
10
11
11
00
00
10
10
01
00
00
10
11
10
10
00
00
00
10
00
01
11
01
01
10
10
11
10
10
10
00
10
10
01
11
01
11
00
11
00
00
01
00
10
10
00
00
11
10
00
10
11
00
10
00
00
01
00
00
00
11
10
10
10
11
01
10
00
01
10
10
10
00
10
11
01
10
00
00
10
10
00
01
00
00
00
00
11
10
00
00
10
01
00
10
11
00
00
01
00
10
10
00
01
11
00
00
11
11
10
11
10
01
00
00
00
10
10
10
10
10
00
00
10
10
11
00
11
00
00
01
00
01
11
00
11
10
10
10
11
00
00
10
00
00
10
11
10
10
00
10
10
00
00
10
00
10
00
00
11
00
00
01
10
10
10
10
00
01
00
01
10
00
10
01
10
10
10
01
00
00
00
00
10
01
10
01
10
11
00
11
00
10
10
01
00
11
00
10
00
00
10
10
10
10
01
10
10
01
00
01
00
10
00
01
01
10
10
10
10
10
10
00
10
10
01
11
01
10
10
00
00
00
10
11
00
11
10
00
10
00
01
01
01
10
01
11
00
01
00
10
10
00
00
00
11
01
00
01
10
10
10
00
00
00
10
11
10
00
01
00
11
00
10
11
10
00
01
10
10
00
01
00
00
01
01
01
11
00
11
10
00
01
01
10
10
11
00
10
10
01
10
01
01
10
01
10
00
11
10
00
11
10
00
00
10
01
00
00
10
00
10
01
10
11
00
11
01
11
10
00
10
00
00
10
10
01
00
10
10
10
10
01
00
00
11
00
10
00
00
10
10
11
10
01
00
01
11
00
01
01
00
10
10
00
10
11
00
00
00
11
01
10
10
10
10
00
10
11
00
01
10
00
00
10
01
10
00
11
11
00
00
00
00
11
10
11
00
00
10
00
11
00
10
11
00
01
01
01
01
00
10
10
00
10
01
01
10
11
00
00
00
00
11
10
11
00
10
00
10
01
00
01
00
10
00
00
10
00
10
10
10
01
00
01
10
00
01
01
00
00
00
11
11
00
00
10
00
10
11
11
10
10
10
11
00
01
10
10
01
10
10
10
10
01
10
11
01
10
01
00
00
00
00
10
11
00
00
00
01
11
00
00
10
10
11
00
01
00
00
10
00
10
00
00
10
01
00
11
10
11
10
00
10
10
00
00
00
11
00
00
00
11
00
01
00
10
10
00
10
01
10
11
01
00
01
01
00
01
11
11
00
00
10
01
01
10
11
00
10
01
00
10
10
01
01
10
00
10
10
01
00
01
10
10
00
10
00
00
00
00
10
01
00
11
10
01
10
10
11
11
00
00
10
00
10
00
01
10
00
00
00
00
10
00
11
11
00
00
10
00
11
11
01
10
01
10
11
01
00
10
10
10
00
01
10
10
11
10
11
11
10
00
11
00
00
10
10
00
01
10
10
00
01
00
11
11
11
01
00
11
00
00
00
11
10
00
00
10
01
01
10
01
10
10
10
11
10
00
10
11
11
00
00
00
00
01
11
11
01
01
00
10
10
00
10
10
01
01
10
01
10
00
00
11
11
00
00
11
10
01
10
10
01
11
01
00
00
10
00
10
00
00
10
10
10
10
10
10
01
10
01
10
01
01
10
11
10
00
10
10
00
00
01
11
10
00
10
00
01
10
10
11
10
00
00
00
00
01
10
11
10
00
00
00
00
10
00
10
10
01
01
11
11
00
10
01
10
11
00
00
11
00
10
10
01
00
00
00
11
00
11
10
11
10
10
01
01
10
01
11
10
11
00
10
10
00
01
00
01
10
01
00
10
10
11
01
10
10
10
10
11
00
00
10
00
11
00
01
10
10
00
00
10
10
00
10
10
00
00
11
01
00
01
00
00
00
10
11
00
00
10
10
00
10
01
01
00
11
00
00
10
00
00
11
11
00
00
10
11
01
01
01
10
10
10
00
00
01
01
01
00
10
00
10
11
00
10
10
10
10
10
10
10
11
01
00
11
11
10
00
01
10
10
00
01
00
10
10
00
11
00
00
11
00
10
01
11
10
01
10
10
11
00
00
11
10
11
01
00
01
01
11
00
00
11
10
11
11
01
00
10
00
10
10
00
10
11
00
00
01
11
00
10
10
01
10
10
10
10
10
00
00
00
11
10
11
00
01
10
10
00
10
01
01
11
00
00
10
00
00
00
10
10
00
11
01
01
10
01
10
10
01
01
00
11
11
01
11
10
10
00
00
10
01
01
10
10
10
00
11
11
00
10
10
11
10
00
00
01
11
10
10
00
00
10
10
00
00
11
10
10
00
00
00
01
10
10
10
10
10
00
01
00
00
01
00
10
00
10
10
10
10
01
00
10
10
11
10
10
11
01
00
10
00
01
10
10
00
10
10
10
00
10
00
11
00
00
10
10
00
00
00
10
11
11
10
01
00
11
00
11
00
01
11
10
00
10
10
00
11
00
00
11
10
10
01
00
00
00
00
11
00
00
10
01
01
11
00
01
10
00
10
00
10
10
00
00
11
01
11
01
00
10
01
11
10
01
00
00
00
10
10
10
01
00
01
10
10
00
11
01
00
10
11
10
01
00
11
00
10
01
11
01
11
00
01
11
00
01
11
10
10
10
00
10
00
01
11
00
11
10
10
01
01
10
10
10
10
01
10
00
01
10
10
00
01
11
11
10
01
00
10
10
10
10
01
00
10
10
01
00
10
10
11
00
00
01
00
10
10
00
10
11
10
00
10
10
00
11
10
00
10
11
01
00
10
10
01
11
10
00
11
00
10
11
00
00
10
00
10
10
00
11
00
01
11
00
01
01
10
01
11
10
01
01
10
11
01
01
00
01
00
11
10
00
10
10
01
10
01
01
01
00
00
10
10
01
00
00
10
10
00
00
00
11
11
10
10
00
01
11
10
10
00
00
10
10
01
01
10
00
11
01
10
00
11
11
10
11
10
11
11
01
00
10
10
00
00
00
11
11
10
10
00
10
10
00
10
00
10
11
01
10
10
11
10
10
00
00
00
00
10
10
00
00
10
11
10
10
10
10
00
00
01
00
11
11
10
01
10
10
00
00
00
10
11
11
00
01
01
00
10
10
00
00
11
11
10
00
00
00
01
00
11
11
00
00
10
10
01
10
11
00
00
11
00
11
01
00
10
10
11
00
10
10
01
11
00
11
10
10
00
01
00
10
11
10
10
11
10
00
11
01
00
11
10
00
11
11
11
00
00
01
01
00
00
11
00
11
10
11
01
10
01
10
10
00
11
10
01
01
11
01
01
01
00
01
11
10
00
01
11
10
01
00
01
00
00
11
00
11
10
10
00
00
11
10
11
00
10
10
10
10
11
10
01
10
10
00
01
01
00
00
11
00
00
00
11
00
00
10
11
01
00
10
10
01
01
11
10
01
10
11
00
10
11
01
01
10
00
01
01
01
11
11
00
01
00
10
10
00
01
11
00
01
00
00
00
00
10
00
10
10
10
10
00
10
00
00
00
10
11
11
00
00
10
10
00
01
00
00
10
00
10
00
01
10
10
00
00
11
11
00
10
01
00
00
11
10
01
00
01
10
01
00
00
10
10
11
01
00
11
11
00
11
01
11
00
01
10
10
01
00
10
10
00
00
10
10
01
10
11
11
10
01
01
01
11
10
10
10
01
01
01
01
01
11
10
10
10
01
10
10
10
01
10
01
01
11
10
11
10
00
11
00
10
01
10
10
10
10
01
10
10
10
10
10
10
00
00
10
10
11
01
00
00
10
00
10
00
11
01
00
01
00
00
00
11
10
00
11
10
00
00
01
11
11
00
10
10
10
00
10
00
01
10
00
01
10
10
00
11
00
00
01
11
00
01
11
11
00
10
00
00
01
10
10
10
00
01
10
11
00
00
11
10
11
11
01
00
01
10
00
10
00
00
10
10
00
10
11
10
10
00
00
10
00
10
10
00
00
10
00
01
00
00
00
10
10
00
00
10
01
10
10
00
00
00
11
11
00
10
10
00
11
10
01
00
00
00
01
11
00
01
10
10
11
01
10
10
10
01
00
00
10
10
00
00
10
00
01
00
01
11
10
10
00
10
10
00
01
00
10
10
01
00
10
00
10
00
01
10
01
11
00
10
01
01
00
10
10
01
11
10
11
11
01
10
10
01
10
11
00
11
01
10
10
10
01
00
00
00
10
00
01
10
10
10
10
00
11
00
01
10
10
10
10
01
10
00
00
10
00
11
10
10
11
10
10
01
10
10
00
10
10
10
11
01
00
10
11
11
00
00
11
10
00
01
01
00
10
01
10
10
00
01
00
10
10
10
10
10
01
01
00
10
10
00
10
01
01
00
01
10
00
11
10
01
10
10
00
00
00
10
10
00
10
10
00
00
11
10
10
00
10
10
00
11
10
11
00
00
10
00
00
11
10
10
10
00
10
00
01
11
11
10
10
10
00
11
00
00
10
10
01
00
10
00
00
10
00
11
00
11
10
00
11
01
10
01
10
11
01
00
01
10
00
00
10
01
10
00
00
10
10
10
00
00
11
10
01
11
01
01
10
01
00
11
11
10
01
10
10
00
01
10
01
00
11
11
01
10
01
10
11
01
11
11
00
00
10
10
00
00
10
11
10
00
10
01
10
01
00
11
00
00
01
00
01
01
10
11
11
10
00
10
01
00
00
11
10
00
11
00
00
10
00
10
01
00
10
01
00
01
11
10
00
00
00
10
10
00
00
11
00
00
11
10
00
10
00
00
11
01
10
00
11
11
00
10
01
00
10
10
10
10
10
01
01
01
11
10
10
01
10
11
10
01
00
01
10
11
10
00
00
10
10
01
00
11
01
10
11
11
00
10
10
00
01
00
10
01
00
11
10
01
10
00
00
10
10
00
10
00
00
10
00
01
00
10
01
00
10
00
11
00
10
00
10
11
00
00
00
01
01
10
10
11
10
10
10
00
10
01
00
00
00
00
00
10
00
00
10
10
01
10
11
11
00
01
10
00
11
11
10
10
00
00
01
10
01
10
10
11
01
00
01
01
11
00
10
11
11
01
00
10
10
10
10
00
01
00
10
10
11
11
01
11
00
01
11
10
01
10
00
00
10
11
00
00
10
00
00
00
10
10
10
00
01
00
00
10
01
00
00
10
10
10
10
11
01
10
00
11
11
10
11
00
00
10
10
10
10
00
00
10
10
10
00
01
10
10
10
01
00
10
10
10
00
00
10
11
01
10
10
00
00
10
00
10
10
00
00
00
10
00
10
11
00
11
00
00
01
01
10
00
00
00
00
00
10
10
10
00
00
10
10
10
00
10
00
00
00
00
11
10
11
10
11
10
01
10
11
01
10
00
01
10
11
10
00
00
00
01
10
00
11
01
11
11
00
01
01
11
01
01
10
00
10
10
11
00
11
11
00
00
01
10
10
00
01
10
11
01
10
01
11
00
00
10
11
11
10
00
00
00
01
01
10
11
10
11
10
01
00
00
00
11
00
00
11
00
00
11
11
10
01
00
10
00
10
00
00
01
10
11
00
00
00
10
00
10
01
01
10
00
00
10
11
10
10
01
00
11
10
00
10
11
00
11
10
10
00
01
10
01
00
10
01
11
10
11
11
00
00
00
00
11
10
01
01
10
00
00
01
10
10
01
00
10
00
00
11
00
00
10
10
00
00
10
00
10
10
01
00
10
10
10
00
10
11
01
11
10
01
10
11
00
01
00
11
00
00
00
10
10
00
11
10
00
10
00
01
11
00
01
11
00
01
00
11
00
10
10
10
10
00
00
11
10
00
00
01
11
00
11
01
00
10
01
00
11
10
00
10
10
01
00
11
10
01
10
00
00
00
01
10
11
00
00
11
10
00
00
10
10
01
00
00
00
10
00
01
00
11
00
01
00
00
11
11
00
00
00
10
11
00
00
11
10
00
10
10
00
00
01
11
00
11
11
00
00
11
10
01
00
11
00
10
10
00
10
11
11
10
11
11
00
01
00
00
00
10
10
11
00
01
01
10
10
10
10
00
00
10
10
01
10
10
01
11
00
00
11
11
00
00
00
10
00
00
00
01
10
10
10
01
10
00
01
10
10
10
00
00
00
11
10
00
00
10
10
10
00
01
11
11
10
00
01
00
11
00
10
10
00
10
00
00
01
10
10
00
11
10
01
10
10
10
10
00
01
00
11
00
11
00
01
11
11
11
01
00
11
01
00
01
10
11
10
10
00
11
00
11
10
01
10
01
10
01
00
11
10
10
01
00
10
10
11
00
10
10
00
10
10
10
00
01
01
10
10
10
11
10
11
00
00
11
10
00
01
00
10
01
10
11
10
00
00
00
10
01
01
10
01
01
10
11
00
01
00
01
10
01
00
11
00
00
10
10
00
00
10
10
10
01
10
11
00
11
10
10
00
00
10
01
10
10
10
10
00
00
10
11
00
00
10
00
10
10
00
00
10
00
01
00
11
01
10
10
01
10
00
10
11
01
10
00
00
10
01
11
10
00
00
11
10
01
00
10
00
00
10
00
11
11
10
10
11
10
01
00
11
00
10
00
10
00
00
11
01
00
11
11
00
10
11
01
10
10
00
10
10
00
00
00
00
10
01
00
10
10
00
01
10
01
10
11
00
00
10
01
00
10
11
11
00
10
00
00
11
11
11
00
00
11
11
00
01
11
11
01
00
00
10
01
00
11
11
10
00
00
00
11
00
10
00
10
11
10
01
01
00
00
00
11
10
00
00
01
00
10
00
10
00
00
10
00
00
10
10
10
10
10
10
00
00
00
01
00
01
00
10
10
00
10
10
01
01
01
10
10
01
10
10
00
00
11
11
10
00
00
00
11
00
00
10
11
11
11
10
10
11
10
10
10
01
00
01
10
10
00
11
00
01
00
10
11
00
00
00
00
10
10
00
11
10
11
01
10
10
11
00
10
11
01
11
00
00
00
10
11
01
11
10
10
10
10
10
00
10
01
01
11
01
00
10
00
00
00
11
10
01
01
00
10
00
01
00
10
10
00
00
00
10
01
00
11
11
11
00
01
10
10
11
01
01
10
10
10
00
01
11
10
10
00
01
00
00
00
01
10
01
00
11
10
10
00
00
10
10
10
00
00
11
00
10
10
01
11
01
01
10
01
00
10
10
00
10
10
00
01
10
10
10
01
00
11
11
10
11
00
10
00
01
10
11
00
10
10
00
11
01
01
01
10
00
01
00
10
10
00
00
01
10
10
11
11
00
10
00
00
11
10
00
10
00
00
10
10
10
00
00
00
10
00
10
10
00
10
00
00
01
11
10
00
10
01
00
11
10
00
11
00
10
10
00
00
10
10
11
10
10
10
10
10
11
10
00
11
10
00
10
00
00
00
01
00
10
10
00
10
10
01
10
00
00
01
10
11
00
00
01
10
11
00
11
10
01
00
00
10
11
00
11
01
01
10
11
11
11
00
00
11
10
11
00
01
11
10
11
00
01
10
10
00
11
01
01
11
11
11
10
10
10
00
00
00
11
00
00
10
10
01
00
11
11
01
00
10
01
10
10
00
10
10
10
00
00
00
00
10
01
11
00
10
00
00
11
01
11
01
10
01
10
10
10
00
01
10
10
11
00
10
00
01
11
10
01
00
01
11
11
00
00
01
11
00
01
11
11
11
00
00
11
10
10
10
00
00
10
00
10
10
10
00
11
01
11
11
10
10
00
10
00
00
10
10
10
00
01
11
01
00
10
11
01
01
10
11
00
10
00
11
00
00
00
10
01
00
11
10
00
00
00
00
00
10
10
01
00
00
10
11
11
00
01
11
00
10
10
00
00
11
11
00
01
11
00
00
00
10
10
00
01
01
11
00
10
10
10
01
00
11
10
00
00
00
11
01
00
10
11
00
11
10
00
10
00
01
10
01
00
10
00
00
10
01
00
11
10
00
10
10
11
00
11
10
01
00
11
00
00
00
10
10
00
10
10
10
00
11
00
00
00
01
10
01
01
11
11
01
01
10
10
00
00
10
00
01
10
10
00
10
10
10
00
01
00
10
11
10
10
00
10
10
11
00
10
01
00
11
01
11
10
01
01
11
11
00
00
11
10
10
00
11
11
00
10
01
00
10
11
00
00
00
11
00
00
10
10
10
01
11
01
11
01
00
10
10
00
00
00
00
10
10
01
00
01
10
10
00
01
01
10
10
00
10
10
11
10
00
10
10
01
11
10
11
00
11
00
01
00
10
00
00
11
11
01
00
11
11
00
10
10
10
01
10
10
00
00
10
10
10
00
10
00
01
00
11
11
00
00
00
10
00
00
10
10
10
10
01
00
11
00
01
10
00
10
10
00
00
01
10
11
00
01
00
10
10
00
00
01
10
10
11
11
00
01
00
11
00
10
10
10
10
00
00
10
01
00
00
00
01
10
01
10
00
01
00
00
00
10
10
10
10
00
00
10
10
10
10
11
00
00
01
11
11
10
10
00
01
11
00
01
10
10
00
00
01
11
00
01
00
10
10
00
00
10
10
01
10
01
11
10
01
01
11
10
10
00
01
10
10
01
00
10
01
00
10
01
11
10
01
11
00
10
00
10
00
10
11
01
11
00
01
11
11
10
00
00
10
00
10
00
01
10
10
11
00
01
00
10
10
01
01
01
10
11
00
00
10
00
01
01
10
10
00
10
10
00
10
01
00
00
11
00
11
10
00
01
10
00
00
11
10
01
00
11
10
00
10
01
00
00
00
10
10
00
10
00
00
00
10
10
11
11
10
10
01
01
10
00
00
00
00
10
10
11
11
11
11
01
01
01
00
10
10
01
01
11
11
00
00
10
00
00
00
11
01
00
01
10
10
01
10
10
01
10
10
10
01
00
01
11
10
10
10
01
11
11
01
01
10
10
10
11
10
00
11
00
00
10
01
00
11
00
00
00
11
11
10
01
00
00
10
10
00
01
10
10
01
00
00
10
11
00
00
10
00
10
00
10
10
00
11
00
00
00
10
11
11
10
11
00
10
00
10
11
00
00
10
11
00
10
11
00
10
10
10
00
00
00
10
01
00
01
00
00
11
00
10
10
01
00
00
11
10
10
11
01
01
10
00
00
00
10
10
10
01
10
11
00
10
00
00
11
11
11
00
01
11
01
00
01
11
10
01
10
11
00
00
10
10
00
01
01
10
11
11
10
00
00
11
10
00
00
11
10
00
00
11
10
00
00
01
01
00
10
10
11
11
01
11
10
10
10
10
10
00
01
10
11
10
00
10
01
11
10
01
00
10
01
10
11
10
00
00
10
11
00
01
11
11
11
11
01
00
01
11
11
11
00
01
10
10
01
10
10
00
00
10
00
00
11
11
01
10
11
10
00
10
10
00
00
00
01
00
10
00
10
10
00
00
10
11
10
11
01
01
00
00
10
10
00
00
00
10
00
01
01
10
00
10
10
00
10
01
11
11
01
00
11
00
00
10
00
10
00
00
10
00
00
01
00
10
10
01
10
00
00
10
10
01
10
01
01
00
00
10
01
10
10
00
10
00
01
10
11
10
00
01
00
00
10
00
11
00
10
11
01
00
11
10
00
10
00
10
10
11
00
00
11
00
00
11
01
00
10
10
11
00
00
01
00
10
10
01
11
11
00
00
10
00
01
10
10
01
10
00
00
00
11
10
01
10
00
11
10
10
11
00
01
10
10
11
10
11
11
01
00
01
10
10
10
01
10
10
11
00
11
10
00
01
01
01
10
01
00
00
01
10
10
10
00
00
10
01
11
00
10
00
11
00
10
11
00
01
01
00
10
11
00
01
01
10
01
01
10
01
10
10
11
11
01
10
11
00
11
11
01
00
10
00
00
00
10
11
00
00
00
10
10
11
00
01
00
00
10
10
01
01
00
11
00
00
01
00
00
10
00
00
10
00
00
11
11
00
11
10
10
10
10
10
11
00
01
00
01
10
00
00
00
00
10
10
10
01
00
10
10
10
10
11
01
10
01
01
00
00
10
10
10
00
01
01
00
11
10
10
00
11
00
00
10
10
01
00
00
00
10
00
10
01
10
11
11
11
11
10
00
00
00
10
01
00
10
11
01
11
00
01
11
00
10
10
10
00
10
10
10
01
11
00
10
00
00
10
01
11
10
00
01
10
11
11
00
10
10
00
01
10
10
00
10
11
11
00
00
01
11
10
11
10
01
10
00
01
11
01
11
10
01
10
10
11
01
00
10
01
01
11
00
10
10
10
01
10
00
00
10
00
10
01
10
10
10
11
10
11
00
10
10
10
11
00
10
11
00
01
00
11
10
00
10
00
00
10
01
00
00
11
00
11
11
11
00
00
01
01
10
10
00
00
00
11
01
10
00
10
00
01
00
10
10
00
01
10
10
00
10
10
10
00
01
10
11
11
00
10
11
01
00
11
10
01
11
00
00
10
01
10
00
11
10
01
01
10
01
11
10
00
00
00
00
00
10
10
11
00
00
01
10
00
01
10
10
00
00
00
10
11
01
00
10
00
11
00
01
10
10
01
00
00
00
10
10
10
00
00
10
00
10
10
01
10
10
10
00
10
11
00
00
11
00
11
11
01
11
01
10
01
00
01
11
11
00
10
11
10
10
00
00
10
11
10
01
11
00
01
11
11
10
00
01
10
00
10
00
00
11
11
10
00
00
10
00
00
10
00
00
01
11
10
10
10
10
00
00
10
01
01
10
11
01
00
10
01
01
10
10
10
00
00
10
10
10
10
00
11
11
01
00
10
10
10
00
01
00
10
11
11
00
11
10
00
10
10
00
11
10
00
10
00
00
00
01
10
00
00
11
10
10
00
11
10
00
00
10
00
00
00
00
10
10
10
01
10
10
00
10
10
10
01
01
00
11
01
01
10
10
00
00
10
11
10
11
00
00
00
10
01
10
01
00
00
11
11
00
00
11
10
10
11
01
10
10
00
11
10
10
11
00
00
00
11
10
00
10
10
00
10
00
11
01
00
00
00
00
01
11
00
11
10
00
10
10
00
00
10
10
10
01
11
01
10
11
00
00
10
00
11
11
10
00
10
10
00
00
10
00
10
01
00
01
10
01
11
10
10
00
00
10
00
00
11
10
00
01
01
01
01
10
00
01
01
00
01
10
11
10
00
10
11
10
10
00
00
00
11
01
10
10
10
00
10
00
00
00
10
11
00
11
00
00
10
00
00
10
10
10
10
10
01
01
01
11
01
01
10
01
01
00
00
01
00
11
01
10
11
00
00
00
10
00
10
11
11
10
00
01
11
10
00
10
00
11
00
01
00
11
00
10
10
00
10
11
10
00
00
10
10
11
01
01
10
00
01
11
01
11
10
10
01
01
11
01
00
10
00
00
01
11
11
00
10
11
10
00
00
10
10
00
00
10
01
00
01
00
10
00
10
10
00
10
10
11
10
01
00
01
11
10
11
01
10
10
11
01
10
10
01
01
11
10
01
10
10
00
01
00
00
11
11
10
01
01
10
11
00
00
10
01
00
00
00
10
10
00
00
00
00
11
10
00
01
10
10
11
00
00
00
11
10
10
00
10
00
00
00
00
01
00
01
00
11
10
10
00
11
01
11
00
00
10
10
00
00
10
10
11
00
00
11
00
10
00
00
00
10
10
00
10
11
00
00
10
01
00
00
10
10
01
01
01
10
00
10
10
11
11
01
00
11
00
01
10
10
00
01
00
10
00
00
00
10
10
10
01
00
10
00
01
00
01
10
11
00
11
01
10
10
00
00
11
11
00
00
10
00
01
00
10
11
11
00
00
00
10
11
00
11
00
00
01
01
11
10
10
00
01
11
00
10
10
00
00
11
00
00
00
10
10
00
00
10
10
11
11
00
00
00
11
00
11
00
00
10
01
00
10
00
00
10
11
01
10
11
10
00
00
10
00
01
00
10
00
10
10
00
11
01
00
00
00
10
10
11
01
10
11
00
00
00
10
11
00
10
10
00
00
10
10
10
10
01
00
00
01
10
00
11
01
00
01
10
10
10
11
00
01
10
10
11
00
11
00
11
10
00
10
01
01
00
11
00
00
10
00
00
10
00
10
10
00
11
00
11
00
00
00
10
10
10
11
00
10
00
01
01
10
11
01
10
11
00
11
10
01
01
11
00
10
10
01
10
00
11
10
00
10
01
01
00
00
10
10
10
10
00
00
10
00
11
10
11
10
10
01
01
10
10
10
00
10
10
10
11
01
00
11
01
01
11
10
00
01
10
11
00
11
10
00
10
10
10
00
01
00
00
10
10
01
10
11
11
10
01
10
10
00
10
00
00
11
11
01
01
10
01
01
01
00
11
11
00
11
11
00
00
10
10
10
11
11
00
01
10
10
00
10
00
11
10
00
00
01
01
01
11
11
00
00
10
10
00
00
10
01
01
00
10
11
01
10
01
10
10
00
10
00
00
10
00
10
00
00
10
00
11
10
10
10
10
00
01
11
00
01
10
01
10
00
11
10
10
10
10
00
00
01
11
10
00
10
00
10
10
11
00
01
10
00
00
00
00
11
01
01
10
10
11
10
00
00
10
10
01
10
00
01
10
01
01
10
10
00
00
11
10
10
00
01
01
10
00
01
00
01
00
11
10
01
01
11
11
00
00
10
10
01
01
10
10
00
10
00
11
01
01
10
01
10
10
10
00
10
10
00
00
00
10
10
10
11
01
00
00
01
11
10
00
10
00
11
00
01
00
00
11
10
10
11
00
01
00
00
00
10
00
11
10
11
10
01
11
10
00
10
01
00
10
01
01
10
10
00
11
10
01
10
10
11
11
00
01
01
10
10
00
00
00
00
10
10
10
10
01
01
11
11
10
00
00
00
00
00
11
10
01
00
10
10
10
11
01
01
11
00
00
11
01
10
10
00
01
00
10
00
10
10
10
00
00
11
01
01
01
00
00
11
01
10
10
11
01
00
00
11
10
01
00
10
01
10
10
00
10
00
01
00
10
10
00
00
01
10
10
10
00
00
10
00
00
01
11
10
01
11
10
00
00
11
11
01
00
10
11
00
10
00
10
10
01
01
00
10
10
00
10
11
00
01
01
00
01
00
01
10
11
00
00
10
10
00
10
00
01
10
10
10
10
11
00
00
00
10
10
11
10
10
10
01
11
10
00
01
11
00
00
10
10
11
00
01
00
10
00
10
10
11
00
00
00
00
00
10
01
10
10
00
00
00
10
11
01
01
01
00
10
00
10
11
00
01
10
11
11
00
11
01
10
00
10
10
01
11
00
00
10
10
01
00
11
01
10
00
00
10
11
11
00
01
10
10
00
00
10
10
11
00
00
00
00
11
10
11
00
10
00
00
00
10
10
01
10
11
10
00
10
00
00
00
01
11
10
10
10
00
01
01
10
00
10
10
10
00
00
00
10
10
01
10
01
00
01
01
00
01
00
11
01
10
10
10
11
01
01
10
01
01
00
11
11
00
01
10
00
11
10
01
11
10
00
11
10
00
00
10
11
00
10
01
10
00
00
10
00
10
11
00
11
01
00
10
10
10
11
01
01
01
01
10
10
01
10
00
10
10
01
00
10
11
00
00
10
11
10
00
10
01
00
00
01
10
01
10
10
10
00
00
00
00
10
10
00
01
10
10
00
00
00
01
00
11
00
10
01
00
11
10
00
00
00
00
11
10
00
10
00
00
11
10
00
10
10
10
00
10
11
10
01
00
01
00
10
00
11
10
00
01
11
10
00
10
00
11
11
01
01
10
01
01
01
11
11
01
00
01
10
11
01
10
10
00
00
10
00
00
10
01
00
01
00
00
00
10
10
00
10
00
00
10
00
11
10
10
11
00
10
00
11
10
10
00
01
01
10
01
00
10
00
00
00
11
00
00
10
00
01
10
10
10
00
00
10
00
00
10
11
11
11
11
00
01
00
00
01
10
11
10
00
10
10
10
11
00
00
10
11
10
00
11
10
00
11
01
01
10
01
00
01
00
11
00
10
01
00
00
10
10
11
00
00
00
00
10
11
00
01
10
00
11
11
00
00
10
11
11
11
00
00
00
11
11
00
01
11
10
10
10
00
00
01
00
01
00
11
10
10
10
10
00
01
01
11
11
00
10
01
11
00
01
10
11
11
00
11
00
00
10
11
01
00
10
01
10
00
00
10
11
00
00
11
00
00
00
00
01
01
10
01
10
00
00
00
01
00
10
10
01
10
10
00
11
11
01
00
00
10
00
11
10
10
11
11
00
01
10
10
10
10
11
10
00
00
11
00
00
00
01
10
10
00
11
01
00
10
11
11
00
11
10
01
11
10
00
00
10
00
11
11
11
10
00
10
00
10
00
00
10
01
10
00
00
11
10
00
10
10
01
10
00
00
11
01
00
00
00
11
10
11
10
10
10
00
01
00
01
10
10
00
10
11
00
10
10
00
00
11
10
01
00
01
10
10
10
00
10
10
00
01
01
11
10
11
01
10
11
00
01
10
00
10
10
01
01
10
11
10
10
10
00
01
10
00
00
01
10
00
11
00
10
00
00
10
10
01
10
11
10
01
00
10
00
01
00
11
10
00
10
01
01
00
01
10
11
10
00
01
11
10
11
00
00
11
10
01
10
10
10
10
01
01
10
11
11
00
00
00
00
00
10
10
00
10
11
00
10
11
11
10
01
11
11
11
10
10
10
10
00
01
10
01
11
10
00
10
00
10
10
00
01
10
00
00
00
01
10
01
01
10
10
00
10
00
00
11
10
00
01
01
10
00
01
11
01
00
11
00
11
10
00
10
01
00
01
10
11
00
10
10
10
11
00
01
10
11
00
01
00
10
10
10
00
00
00
11
10
00
10
10
01
10
10
01
01
11
10
00
00
00
10
10
00
01
10
00
00
01
11
01
10
11
01
00
10
11
10
00
10
01
10
10
01
10
10
10
01
00
10
00
00
11
01
10
11
11
00
11
10
00
10
10
10
01
01
11
11
11
00
01
10
11
00
11
10
01
01
11
10
00
10
01
11
10
00
00
00
00
10
11
00
10
11
00
10
10
10
00
10
00
10
10
11
10
00
10
00
00
10
10
00
00
11
10
00
10
01
10
10
00
01
01
11
00
10
00
10
11
11
00
01
10
10
00
11
10
01
00
00
11
10
11
00
10
11
10
00
00
11
10
10
00
11
00
00
00
00
11
00
10
11
10
00
01
00
11
11
10
10
10
10
00
10
00
00
01
10
00
10
11
00
01
00
11
10
01
00
00
00
10
11
00
01
11
11
00
00
10
00
00
10
00
00
10
10
00
10
01
00
10
10
00
10
01
00
11
10
10
01
01
10
00
00
11
11
00
01
10
00
00
11
00
10
10
01
00
00
00
11
10
10
00
01
10
11
10
10
00
00
10
11
10
00
01
01
10
00
11
01
00
10
10
01
00
11
00
01
10
11
00
10
00
00
11
01
10
10
10
00
10
11
11
00
01
00
11
10
01
00
10
00
10
10
00
10
11
10
10
00
01
10
10
00
01
00
11
10
00
00
10
01
11
00
00
10
11
00
11
10
11
00
00
00
11
10
00
00
10
01
00
00
00
01
10
00
01
00
00
00
01
01
01
10
01
00
11
00
11
11
00
01
10
10
00
01
10
10
00
00
00
11
01
01
10
10
10
11
11
10
01
01
00
10
00
00
01
10
00
11
00
01
10
11
11
00
00
10
10
00
10
10
00
00
10
10
01
01
01
00
10
01
11
11
10
11
01
00
00
10
11
00
00
11
10
00
00
00
01
00
00
01
11
11
10
00
10
00
10
00
00
11
10
10
10
01
10
01
11
00
00
00
10
10
10
01
00
00
10
10
00
11
10
00
10
10
00
10
00
00
00
00
01
01
10
10
01
00
10
11
01
10
10
11
11
01
01
01
10
11
00
01
00
11
10
00
10
10
00
01
00
10
01
01
11
00
00
01
10
11
01
00
00
10
01
01
11
11
10
01
10
10
00
00
10
00
00
10
00
00
00
00
11
11
11
11
00
01
11
10
10
01
00
10
10
00
00
01
11
01
11
00
00
11
00
01
00
11
11
10
01
01
10
11
10
00
00
10
00
00
10
10
10
00
10
01
10
00
01
10
11
00
01
00
00
10
00
10
10
10
01
10
10
00
10
00
00
00
01
00
00
00
01
10
10
10
01
10
00
00
00
10
00
01
01
10
10
11
10
00
01
11
01
10
10
00
10
10
10
10
00
00
00
10
01
01
10
00
01
11
10
00
10
00
01
00
11
10
01
11
00
00
11
10
00
00
10
10
01
00
00
01
10
10
01
10
10
10
11
00
10
11
01
11
01
01
10
10
01
01
10
10
00
00
11
10
11
00
10
10
11
00
11
10
00
10
00
11
10
00
10
11
10
11
00
01
10
01
10
10
00
00
10
10
11
00
00
10
10
10
00
00
10
10
10
01
10
01
00
01
01
10
10
00
00
10
00
00
10
00
00
01
00
10
00
01
11
10
00
00
00
10
11
01
10
10
11
10
00
00
10
10
00
00
00
00
10
11
00
01
10
00
00
11
10
01
11
10
01
11
01
00
11
10
01
01
10
00
01
01
10
10
00
10
11
11
00
00
10
11
00
00
10
01
10
00
10
01
00
11
00
11
11
01
01
10
10
00
11
10
10
01
00
10
01
00
00
10
00
11
11
11
00
00
00
00
11
01
00
10
10
00
00
00
11
10
10
00
11
11
01
01
10
10
01
11
11
11
00
01
11
10
10
11
00
00
11
10
01
01
00
10
00
10
01
01
11
01
10
10
00
10
10
10
01
01
00
00
11
00
11
00
10
10
10
00
01
10
10
10
01
10
00
10
00
10
00
10
10
00
10
00
10
00
01
00
10
01
00
11
10
10
00
11
01
01
10
10
00
00
10
00
10
10
11
00
00
10
00
10
01
10
00
00
11
10
00
10
10
11
01
01
10
10
10
10
01
10
01
01
00
00
00
10
00
10
11
11
10
11
00
10
00
10
01
00
10
11
01
01
11
11
01
01
10
00
11
10
01
11
00
00
01
10
11
10
10
00
10
11
00
10
11
10
10
00
01
01
00
01
10
10
11
00
01
10
00
01
00
01
11
10
00
01
00
00
10
10
10
00
10
10
01
10
10
10
10
10
00
00
00
11
10
10
01
01
11
11
11
00
01
11
10
01
00
10
10
00
00
11
00
01
10
10
10
10
00
10
01
11
01
00
00
00
11
10
10
10
00
11
00
01
00
11
01
00
11
11
10
01
10
11
00
00
01
10
00
00
00
10
10
01
10
10
00
00
01
01
10
10
10
00
10
00
01
11
10
10
10
00
00
00
10
10
00
00
00
00
00
11
11
10
00
10
00
00
10
11
01
11
00
00
10
01
11
10
01
01
11
11
00
00
11
00
00
11
01
11
00
00
10
10
11
11
11
01
00
10
01
00
10
10
00
01
00
10
10
11
00
01
00
00
00
00
10
10
00
00
00
10
01
10
00
01
00
11
00
10
10
11
10
01
10
00
10
00
01
00
11
10
10
00
10
00
10
10
00
00
10
00
11
10
01
10
11
00
11
00
10
11
00
00
11
00
10
11
10
00
01
10
11
01
01
10
00
00
11
11
10
00
00
10
10
10
11
10
10
10
10
10
00
10
00
10
10
00
00
10
10
01
10
00
00
10
10
00
00
10
00
00
00
11
01
11
10
00
10
00
00
10
00
01
01
11
10
10
00
00
10
00
00
11
10
00
11
10
10
11
00
00
00
11
00
11
10
10
00
01
10
00
01
10
01
00
11
00
00
00
11
10
10
00
00
11
11
00
00
00
10
10
10
10
01
00
10
10
10
10
01
00
10
01
00
00
11
10
10
11
11
00
00
10
00
11
10
10
00
11
11
00
00
10
10
01
00
11
00
01
10
00
11
01
00
11
00
10
00
10
00
01
10
10
01
00
10
00
11
00
11
10
10
10
00
00
01
00
10
00
11
00
01
10
11
10
10
00
10
10
00
11
10
10
11
10
10
11
00
10
10
10
01
00
01
10
01
00
11
00
10
00
00
10
11
10
11
10
00
00
00
01
00
11
00
01
10
00
00
00
00
10
00
00
10
01
11
10
11
00
10
01
01
10
10
00
01
10
10
11
10
00
00
01
00
00
01
10
11
00
01
11
00
01
10
11
01
00
01
11
10
00
10
10
10
01
00
11
10
01
10
10
00
11
01
00
01
10
01
10
10
10
00
00
11
11
10
00
10
00
11
11
00
10
01
11
01
11
10
00
01
10
11
01
00
10
01
11
11
11
00
00
11
00
00
10
10
00
01
10
10
00
01
10
01
10
00
00
11
10
01
10
10
00
01
10
10
00
00
00
11
10
10
01
10
01
01
11
11
00
10
11
00
01
00
10
10
00
01
10
11
00
00
10
10
00
10
10
00
10
10
11
10
00
00
00
11
11
11
00
10
11
10
10
00
00
00
00
11
10
01
01
10
10
11
00
10
10
00
01
00
10
10
11
00
01
00
11
00
00
00
00
00
00
00
11
00
01
11
00
00
00
00
11
11
00
00
00
11
00
00
10
00
10
01
10
10
00
00
00
10
10
10
00
00
10
01
01
10
01
11
00
01
10
00
10
01
00
00
10
10
00
10
01
10
00
10
11
11
00
00
01
10
00
00
11
11
11
10
01
00
10
00
10
11
00
01
10
10
01
11
11
00
00
11
11
00
01
01
11
10
00
01
10
00
00
11
10
00
00
11
10
00
00
00
00
00
11
11
00
10
11
00
10
00
00
10
00
01
10
00
01
00
00
01
11
11
00
00
01
01
10
10
10
01
10
10
00
11
10
10
00
11
10
00
10
10
00
11
11
10
01
00
10
00
10
01
01
01
11
11
00
10
10
11
10
00
10
00
01
10
00
00
00
01
00
01
11
11
00
10
10
00
10
11
01
00
01
00
00
10
10
11
01
00
10
00
01
00
11
00
11
10
10
10
00
00
10
10
00
00
10
10
00
10
00
10
01
00
00
10
10
10
10
01
10
01
00
00
11
01
00
10
10
00
00
10
00
00
00
00
11
10
00
00
11
10
00
00
11
00
01
10
01
01
00
10
00
01
10
00
01
00
10
11
01
10
01
10
01
01
10
11
11
10
00
10
10
01
00
00
10
00
01
00
01
10
10
00
01
00
00
10
11
11
00
10
10
00
10
10
10
00
11
10
00
10
01
01
10
10
10
11
00
00
00
10
00
01
10
10
10
00
00
11
01
01
00
00
00
10
10
11
01
01
00
11
10
00
10
10
11
00
00
10
00
01
00
11
00
10
10
11
10
01
00
10
00
10
00
01
10
11
01
00
00
00
10
01
11
11
10
00
00
10
01
10
11
01
00
10
10
01
10
00
10
10
11
10
10
00
00
11
10
00
00
10
11
11
10
00
11
00
11
01
01
10
10
10
01
00
10
10
00
01
10
00
11
10
01
01
11
10
10
10
10
11
01
00
10
11
11
00
10
01
00
01
00
00
10
00
10
11
00
01
00
10
11
11
01
00
10
11
00
00
10
01
10
00
10
10
00
10
01
00
10
11
01
10
01
10
00
10
11
10
00
10
10
10
01
00
01
00
00
11
10
10
01
11
00
11
00
00
10
10
10
01
00
10
10
11
00
10
01
00
01
01
11
00
00
10
00
10
11
01
01
00
01
10
01
10
11
01
00
00
10
00
10
10
00
10
11
00
11
10
00
00
01
11
10
01
00
10
10
01
11
00
01
10
01
00
00
01
10
00
00
11
10
10
00
00
00
11
00
01
10
01
10
11
00
00
01
10
00
10
10
01
10
01
00
00
10
10
00
10
11
00
00
11
01
01
00
10
01
11
10
10
10
00
00
10
11
00
00
10
10
10
10
00
00
10
01
01
01
10
10
00
10
00
10
00
10
10
00
00
00
00
00
10
11
00
01
11
00
00
11
10
00
00
11
10
01
01
01
10
01
11
10
10
00
01
10
00
00
00
00
00
10
01
01
10
00
11
11
10
00
01
11
00
01
10
00
00
00
10
10
01
00
11
10
10
01
10
00
10
00
00
10
10
00
10
10
10
00
00
10
11
10
01
10
10
10
00
11
10
11
00
10
00
00
11
10
11
10
10
01
00
01
10
11
00
10
00
00
11
10
00
00
00
00
10
00
01
00
10
00
01
10
10
00
11
10
11
00
00
11
11
10
00
00
10
11
10
00
00
11
10
00
11
11
00
01
00
10
00
01
00
01
10
10
11
01
10
00
00
10
10
00
11
10
00
00
10
00
11
00
00
01
10
10
00
10
10
00
10
00
01
11
00
11
01
11
01
00
00
10
01
10
11
00
10
10
00
10
10
10
01
11
11
00
00
10
00
11
01
00
10
10
11
10
01
11
10
10
01
11
01
01
10
11
00
01
10
01
00
01
00
10
10
00
10
10
10
00
10
11
11
00
01
10
10
01
00
11
11
10
00
11
10
00
10
10
00
11
11
10
10
00
11
11
11
00
00
11
00
11
10
01
00
10
00
00
01
10
10
00
10
10
10
00
01
11
10
11
10
10
10
10
00
11
10
01
10
01
10
11
10
11
11
00
00
10
00
00
11
10
01
01
01
10
00
00
11
00
10
11
00
00
00
00
01
10
11
00
00
10
10
01
00
00
10
10
10
00
10
10
00
01
00
10
00
00
10
10
01
01
10
01
11
00
11
10
10
01
10
10
00
11
10
10
00
10
00
00
01
10
10
10
00
01
10
00
01
01
00
10
01
11
11
01
00
10
11
00
10
00
00
00
00
00
10
10
00
10
00
10
00
10
00
10
11
10
11
10
11
10
10
00
01
10
10
01
00
10
11
00
11
01
10
10
00
00
00
10
10
10
00
10
01
00
01
10
00
10
10
00
01
11
10
10
01
10
01
10
10
11
00
00
01
10
10
10
00
10
10
01
01
00
10
11
00
00
10
10
01
01
00
11
10
11
11
01
00
01
10
00
00
11
00
00
10
01
11
10
01
10
10
00
11
00
01
01
10
00
01
10
10
00
00
10
10
00
00
01
10
10
10
10
00
00
00
10
00
00
10
00
10
10
00
00
00
00
10
11
10
00
10
01
10
00
00
11
10
00
01
00
11
01
01
11
00
01
10
10
00
00
00
10
00
10
01
10
11
01
01
01
11
00
00
10
01
10
11
00
10
10
00
01
10
01
00
10
11
00
10
10
01
01
00
10
10
10
10
10
10
10
00
10
00
00
10
00
11
01
00
00
01
00
10
10
00
00
00
01
10
10
10
01
10
10
00
10
00
00
01
11
11
00
10
00
11
00
10
00
10
10
00
10
10
10
00
10
01
01
00
00
00
10
10
10
00
10
00
00
00
00
10
00
10
00
00
10
10
10
10
00
01
01
10
01
10
00
10
10
00
00
11
10
10
00
00
10
00
01
01
10
01
10
10
10
01
01
10
10
10
10
00
11
00
00
01
00
00
00
01
11
11
00
01
00
10
10
00
00
11
11
01
01
01
10
00
10
10
00
01
10
11
01
00
00
10
00
10
11
00
01
11
10
00
01
00
10
10
00
00
10
00
10
11
10
11
11
11
01
00
10
00
10
10
00
10
11
00
00
11
00
01
11
00
01
10
00
11
10
01
10
10
00
10
00
10
10
10
00
00
10
00
11
10
00
10
00
10
00
01
10
10
00
00
00
10
00
01
01
00
00
10
00
00
00
10
00
01
10
10
11
00
00
00
10
01
00
01
00
10
11
11
10
10
00
00
11
01
00
00
10
00
10
11
01
01
10
10
01
10
10
01
10
11
10
10
01
00
11
10
10
00
10
10
00
00
11
10
00
00
00
10
11
01
10
10
01
10
11
11
00
00
01
00
11
10
01
00
00
10
10
00
00
10
00
00
10
00
10
00
10
11
01
00
10
10
10
01
10
00
01
01
11
00
11
11
01
10
00
01
01
00
10
11
00
00
00
11
10
01
01
10
00
00
11
10
10
00
10
11
00
00
10
11
00
10
10
11
00
10
00
01
11
01
01
00
10
00
00
00
01
11
10
00
00
10
01
10
00
00
01
00
00
10
11
11
01
11
00
10
11
00
00
10
01
01
01
10
00
11
11
00
10
11
00
11
11
00
10
01
00
10
11
10
00
00
10
10
10
10
00
01
10
11
11
00
11
10
10
00
00
01
10
10
00
10
11
01
00
10
10
00
01
10
10
11
01
00
01
01
00
00
11
10
01
10
10
00
01
00
10
10
01
10
00
00
01
00
11
11
10
00
10
10
10
00
01
10
10
01
01
00
00
10
01
01
00
00
10
11
01
01
10
11
10
11
10
11
10
01
00
10
10
01
10
00
00
10
00
10
10
00
11
00
00
00
10
10
00
10
00
00
00
10
11
00
01
10
10
11
00
10
00
10
00
01
00
10
00
00
00
01
10
10
01
01
00
01
10
00
10
00
10
10
01
00
00
00
11
00
11
11
11
01
01
00
10
00
00
10
01
00
00
10
10
00
10
00
00
00
00
10
01
11
11
00
00
10
00
11
01
01
10
10
00
11
00
01
10
10
10
10
10
10
11
00
00
00
11
00
10
01
10
10
00
01
01
00
11
10
10
00
00
00
11
01
00
01
11
10
01
00
10
10
01
01
11
10
01
10
10
10
01
00
11
10
00
10
00
11
10
00
11
01
11
01
10
10
10
11
00
00
10
10
11
01
10
00
00
11
10
11
01
00
00
11
10
11
10
00
00
10
10
01
01
11
10
01
10
11
01
10
11
00
01
10
00
00
00
00
11
10
10
10
00
11
01
10
01
10
10
00
01
00
01
10
10
00
11
00
00
00
11
10
00
11
00
11
10
10
00
10
00
11
01
00
00
01
10
11
11
00
00
10
10
00
01
11
00
00
10
11
11
00
00
11
10
00
00
10
01
00
00
11
00
11
10
00
01
11
10
10
01
00
11
00
11
11
00
00
10
10
00
10
10
01
11
11
11
00
11
00
10
11
01
01
10
00
00
11
10
00
00
10
00
01
00
01
10
10
00
00
11
00
00
10
01
01
00
11
00
10
11
10
00
00
01
11
11
00
10
00
10
10
11
01
00
10
10
01
00
10
00
00
10
00
00
10
10
11
10
10
11
11
00
00
00
10
00
11
11
11
00
10
10
11
01
00
01
10
01
11
01
01
10
10
00
11
10
01
00
10
10
00
01
01
00
10
10
00
01
00
10
01
10
11
00
10
01
00
00
11
10
01
00
00
01
00
00
10
11
01
10
11
01
00
10
11
00
00
00
11
10
11
10
00
00
10
01
10
00
00
10
11
00
11
00
00
00
00
00
00
00
10
10
10
11
11
00
10
00
00
00
01
11
11
00
01
00
00
10
11
00
10
10
10
00
00
10
00
00
00
10
10
01
01
10
10
01
01
11
01
11
10
00
10
10
11
00
00
00
10
11
01
01
00
11
10
10
01
00
10
10
10
01
10
00
00
11
10
10
00
00
01
11
00
10
11
00
10
10
00
00
01
10
11
10
11
01
10
00
00
10
11
10
10
10
00
00
10
10
10
10
00
00
01
00
11
00
00
11
00
01
10
01
00
00
10
11
00
00
10
10
10
10
01
00
00
10
00
00
11
10
10
00
00
10
11
00
00
10
01
10
10
11
00
01
10
10
10
10
00
00
00
11
11
11
01
10
00
10
10
10
10
01
00
11
10
10
00
00
10
10
01
00
10
10
10
11
10
01
01
10
11
00
11
11
10
01
10
10
00
10
11
10
00
00
01
10
01
11
11
00
01
00
11
01
00
00
10
00
00
11
10
11
10
01
00
00
00
11
10
00
11
10
11
10
00
11
10
00
10
00
00
00
01
10
01
00
00
00
10
11
00
00
10
10
11
10
00
00
11
00
00
01
11
10
11
10
11
00
00
10
00
10
10
11
00
00
10
11
00
00
01
00
00
00
00
00
00
11
10
01
10
01
10
00
10
00
10
10
10
11
00
11
01
10
01
10
11
01
00
11
10
11
00
00
10
10
10
10
10
00
11
00
11
10
11
10
00
01
00
00
11
00
10
01
00
10
10
11
01
01
10
01
11
10
00
10
00
00
10
10
00
00
10
01
10
11
11
10
10
10
00
00
01
00
00
01
10
01
00
10
00
00
10
10
01
00
10
01
10
01
00
10
10
01
01
01
00
10
00
00
10
11
00
00
10
00
11
10
01
01
11
10
00
11
11
00
01
10
11
01
00
00
10
10
00
11
10
11
01
10
01
10
10
00
10
10
11
10
00
10
10
01
01
10
00
10
11
10
10
00
11
10
00
00
00
10
10
10
10
00
00
10
11
00
00
11
00
01
11
00
00
00
01
00
00
10
10
00
11
10
10
11
01
11
10
00
01
11
10
00
01
10
11
00
11
00
01
10
11
00
01
10
11
10
00
00
10
01
11
01
00
10
00
11
01
11
00
01
00
10
10
11
10
01
00
11
10
11
01
00
11
11
00
00
10
00
01
00
01
10
11
00
10
11
10
01
00
00
00
11
01
11
10
00
00
10
10
00
10
10
00
01
00
00
01
00
11
11
11
01
00
11
10
10
00
01
11
00
00
11
00
00
00
00
00
00
10
11
10
01
01
11
10
11
10
10
00
00
10
00
00
10
00
11
01
10
11
00
00
10
00
10
10
01
01
00
10
00
10
01
10
10
00
10
10
00
01
10
00
00
11
01
01
10
11
01
00
10
00
00
11
00
00
10
10
10
10
00
11
10
01
01
10
10
00
00
00
10
01
01
00
10
10
10
11
00
10
01
01
00
10
11
10
00
10
11
00
11
10
10
00
10
10
10
11
00
01
10
10
00
01
01
11
01
10
10
00
00
00
01
10
00
10
11
00
00
00
11
10
11
11
01
10
10
10
10
00
10
00
00
01
10
00
01
10
10
10
00
01
10
01
10
00
11
01
00
00
11
10
10
10
00
10
00
00
00
10
11
00
10
11
01
01
00
11
10
11
10
10
00
10
01
00
11
10
10
10
11
00
00
10
10
10
10
01
00
10
01
10
01
10
11
00
00
01
10
00
00
10
10
10
11
10
00
00
00
00
10
10
11
10
11
10
10
00
10
10
10
11
00
00
00
10
11
00
10
10
11
11
10
10
00
10
01
00
10
01
11
10
00
00
10
10
10
00
01
10
01
11
00
11
00
11
10
01
01
10
01
10
00
01
11
00
00
10
10
10
11
00
11
10
00
10
00
00
10
10
00
11
10
01
00
00
10
10
00
10
11
00
00
10
11
10
11
00
00
00
10
10
10
00
00
00
00
11
10
01
11
00
11
01
01
10
10
11
01
10
01
11
10
00
10
00
10
10
00
10
00
10
00
11
10
10
10
00
00
10
10
00
10
10
01
00
11
01
00
00
10
10
11
01
00
11
00
11
11
00
00
00
00
11
00
01
01
01
10
10
10
00
00
11
00
01
10
11
00
10
00
11
00
01
11
10
11
11
10
01
00
00
10
10
00
00
01
10
00
00
10
10
00
10
10
11
10
10
10
10
01
11
11
11
11
10
01
10
11
00
11
11
00
01
00
10
11
01
00
10
10
00
00
00
00
10
11
01
00
11
01
11
00
00
11
10
00
01
00
11
10
10
00
10
10
00
00
11
01
01
10
00
10
10
10
01
11
10
01
11
11
00
10
00
10
01
01
00
11
00
00
10
01
10
10
01
00
00
11
00
10
11
00
01
00
01
10
10
00
11
10
00
10
10
10
01
10
00
11
11
11
01
10
11
01
11
10
01
00
11
00
00
11
00
10
10
01
00
10
01
00
10
00
00
10
10
01
10
01
00
01
10
10
00
00
11
10
10
01
00
00
01
10
10
10
10
01
00
00
10
01
00
00
00
11
01
11
00
00
10
10
01
00
10
11
00
00
10
00
10
10
00
00
01
10
11
10
10
00
00
10
11
01
00
10
00
10
00
11
10
11
11
10
00
00
00
01
00
10
00
00
10
00
10
10
10
10
00
00
10
00
10
00
11
00
10
10
00
00
10
00
00
10
10
00
11
00
00
00
10
10
10
00
00
00
11
10
11
11
10
11
10
00
01
10
01
00
11
01
00
10
10
10
11
00
00
00
00
00
00
10
10
00
00
10
10
01
11
10
10
11
11
00
01
10
10
10
00
00
10
00
00
10
10
01
11
00
00
10
10
01
00
00
10
01
10
11
10
11
00
10
01
10
11
01
00
11
10
01
00
00
00
00
10
10
10
10
10
01
00
11
10
11
00
10
00
00
10
01
10
10
00
10
10
11
00
00
00
11
10
10
11
00
00
10
10
01
01
10
10
01
00
00
01
00
11
10
10
11
11
10
00
00
10
11
01
01
01
10
10
10
00
00
00
10
10
00
11
10
11
01
10
10
11
01
00
00
01
00
00
00
10
10
10
10
10
10
11
00
10
01
10
00
01
10
01
10
10
10
10
01
11
00
00
01
11
00
11
10
01
10
01
00
10
11
01
01
10
10
11
10
00
00
00
11
10
10
01
10
01
10
00
11
11
00
11
00
10
00
01
01
10
11
00
10
11
10
00
11
00
01
11
00
01
11
01
10
00
00
10
10
01
01
10
10
10
00
10
00
01
11
01
10
10
00
10
10
11
10
00
00
00
10
01
00
10
10
10
00
11
00
10
01
00
10
00
11
00
00
10
00
00
11
01
10
10
10
00
10
10
00
01
11
11
01
01
10
10
00
10
10
00
00
11
00
11
11
01
01
00
11
00
00
10
10
01
01
10
10
10
01
10
10
00
01
10
11
11
10
11
11
10
11
00
00
00
11
11
00
01
00
11
11
10
10
00
10
01
11
11
00
01
11
10
00
00
10
10
00
01
01
11
11
10
01
10
00
00
10
00
11
10
00
00
10
10
11
00
00
10
10
00
00
10
11
10
00
00
00
01
10
10
00
10
11
11
10
10
01
00
01
10
00
01
00
11
01
01
10
00
10
10
10
00
00
11
00
00
11
10
00
11
10
01
11
01
00
10
00
10
01
00
11
10
10
01
00
11
00
10
01
10
10
00
00
10
10
10
10
00
00
00
10
00
01
10
01
10
00
00
10
10
10
10
00
01
00
00
00
11
10
10
00
00
10
01
10
11
10
00
10
10
01
00
00
10
00
11
10
00
10
00
10
00
10
00
10
10
11
00
00
00
00
11
10
10
01
00
10
10
01
10
00
10
10
00
10
11
00
00
00
10
10
00
00
10
11
10
11
01
01
00
11
01
10
10
10
11
11
10
01
00
11
10
11
10
00
00
10
10
00
01
00
00
00
10
11
01
00
10
10
01
00
11
11
01
01
10
10
00
10
00
00
10
00
00
10
01
00
10
01
00
11
11
00
10
11
00
00
01
10
00
01
11
11
10
10
00
00
00
00
00
11
10
00
00
01
10
00
10
10
10
10
00
10
10
00
11
11
01
10
11
10
00
10
10
00
00
10
00
01
10
00
11
00
00
10
11
10
01
01
00
00
11
00
11
11
00
11
01
10
11
10
01
00
11
10
01
10
10
10
00
11
10
00
00
10
11
10
00
00
00
10
10
01
00
11
00
00
01
11
00
01
00
11
00
10
10
10
10
11
00
01
10
10
01
10
10
01
10
11
11
00
01
10
00
01
11
10
00
01
10
00
00
00
10
10
00
11
00
00
11
10
00
00
10
11
00
00
11
10
11
10
00
01
01
11
11
10
00
01
00
10
11
00
01
10
10
00
01
00
01
11
00
11
11
00
10
10
00
10
01
00
10
11
00
11
11
11
00
00
11
01
11
10
11
00
10
10
00
00
10
10
01
11
01
01
10
00
10
10
00
01
10
00
11
10
10
10
10
10
11
00
00
10
00
00
01
00
10
00
01
10
10
00
11
01
01
01
10
00
00
01
10
10
00
01
00
10
10
00
10
11
10
10
00
00
01
10
11
10
11
00
10
00
10
10
10
10
00
00
11
10
10
00
11
10
10
11
00
01
10
00
01
10
10
01
00
01
01
11
10
11
00
00
10
11
00
00
01
00
11
11
00
11
10
10
00
10
10
01
00
11
00
00
11
00
00
00
00
10
00
10
11
10
10
00
00
00
10
11
00
10
00
11
00
01
01
00
10
01
10
00
01
11
00
01
11
10
00
10
00
10
10
01
00
00
11
00
01
01
01
01
11
10
00
10
00
01
01
10
10
11
11
00
10
00
10
10
00
01
01
11
00
01
10
01
11
10
10
00
00
10
10
00
00
10
11
01
01
01
10
01
00
10
00
11
11
00
00
10
10
10
10
00
00
00
11
00
11
01
10
10
11
00
00
00
10
10
10
01
10
10
00
00
00
11
00
01
00
11
00
00
10
10
00
10
00
01
10
00
00
11
10
00
01
10
10
00
00
00
00
11
00
01
10
00
11
00
00
01
10
10
10
10
00
00
11
00
10
10
10
11
00
11
10
01
00
00
10
10
00
01
00
10
01
00
11
10
01
11
10
01
11
00
01
10
10
10
00
00
10
00
01
00
01
10
11
11
10
10
10
01
00
10
11
00
00
00
11
10
00
10
11
11
01
00
10
01
00
10
01
01
10
11
10
00
10
10
01
01
00
10
11
10
00
11
10
01
00
11
00
00
00
10
11
00
10
00
10
00
11
00
01
10
01
00
10
00
00
11
00
00
10
10
10
10
10
00
00
01
11
01
00
10
01
10
00
10
11
10
00
00
00
11
10
10
10
01
11
00
00
11
11
10
10
00
01
00
00
10
00
11
10
01
10
01
10
10
00
00
11
10
10
10
00
00
11
00
10
01
10
11
01
11
00
00
00
10
00
00
10
01
10
00
11
10
11
00
00
01
00
10
10
00
10
11
10
11
10
00
01
00
10
10
10
01
00
11
00
10
00
01
11
10
00
01
10
10
01
00
01
11
11
00
11
10
00
10
10
00
01
11
00
00
10
01
10
01
00
10
00
01
10
11
00
01
11
10
00
10
10
00
10
10
10
10
10
01
10
10
11
01
00
10
00
11
00
00
11
01
10
10
01
01
11
10
01
00
10
01
10
11
01
00
10
10
01
11
10
00
10
00
10
00
00
00
10
10
10
00
00
00
11
00
10
10
10
00
10
00
00
10
11
00
00
11
11
10
01
01
11
00
00
00
10
00
00
11
11
00
10
10
01
00
10
00
00
00
11
10
10
10
00
10
00
00
10
00
10
10
11
10
11
10
10
11
00
00
10
11
00
10
10
10
11
00
11
00
10
11
10
01
10
01
11
11
00
10
10
11
10
00
01
11
00
00
11
01
01
10
01
10
10
01
10
11
00
00
10
00
00
10
00
00
00
00
10
01
01
01
10
01
11
11
00
10
00
00
01
10
11
10
00
10
10
10
00
10
10
01
11
10
01
00
10
11
00
11
00
10
10
10
01
00
00
00
10
00
01
10
00
10
01
00
00
10
10
00
00
10
10
00
11
10
10
01
10
01
10
11
00
10
11
00
11
10
11
01
10
10
10
01
00
00
10
00
00
10
10
10
11
00
00
00
10
11
10
00
01
00
11
00
00
10
00
00
10
01
00
01
10
10
10
00
01
10
10
00
00
01
10
00
01
10
00
00
10
10
10
00
10
10
10
01
11
10
00
10
00
10
01
10
01
00
10
00
10
10
10
10
11
10
00
10
00
01
10
10
00
00
10
10
10
00
00
10
00
00
00
11
11
00
11
10
00
11
11
11
10
01
01
00
10
00
10
10
10
00
10
01
00
10
01
11
00
10
00
00
11
10
01
10
11
01
10
01
00
00
10
10
10
00
01
10
01
11
10
10
00
01
01
11
10
00
11
10
11
00
10
10
01
10
00
00
01
00
01
10
00
00
01
01
10
11
10
01
10
00
00
00
00
11
01
10
00
01
01
10
00
11
10
01
11
00
01
11
00
00
00
10
10
00
10
10
10
01
00
01
11
10
10
01
11
01
10
10
00
10
00
11
10
00
10
10
10
01
01
00
11
00
11
10
11
10
11
00
10
01
00
10
10
10
00
10
11
10
11
00
10
11
01
00
00
10
11
10
01
00
10
10
00
10
00
10
11
01
10
10
00
10
00
10
00
11
10
00
10
10
11
10
00
01
01
11
00
11
10
10
01
10
00
00
00
10
00
10
10
10
10
11
10
00
10
10
00
00
00
00
10
10
10
01
00
10
01
01
00
11
00
00
00
10
10
00
10
10
01
01
10
10
01
11
10
10
10
00
00
10
10
00
00
10
11
10
11
10
10
01
01
00
00
01
10
10
10
10
01
00
10
00
00
00
00
00
10
11
11
10
11
10
00
11
01
00
01
00
10
10
01
10
10
10
00
01
11
01
00
00
10
00
00
00
10
10
00
00
11
00
10
00
10
10
10
11
01
00
10
10
00
01
01
11
10
00
10
10
01
00
00
01
00
00
10
10
11
01
00
10
10
00
01
00
01
11
10
01
01
11
01
00
10
00
00
11
10
01
01
11
11
11
00
11
11
01
10
10
01
11
11
01
00
00
11
11
00
10
10
00
00
10
10
00
11
01
01
01
00
10
00
11
01
11
11
00
10
00
11
00
10
11
00
11
00
00
01
10
11
10
00
01
01
11
00
10
10
01
10
01
00
10
11
00
10
00
10
01
01
10
10
00
00
01
00
01
10
11
11
10
01
00
00
11
10
10
10
00
01
11
10
11
00
01
00
10
00
10
10
01
11
00
00
00
00
00
01
11
01
11
10
00
10
00
01
00
10
11
00
00
01
00
11
00
00
10
10
00
00
01
00
11
00
11
00
00
00
01
11
10
00
00
11
10
01
11
11
01
00
10
11
01
00
00
11
10
11
01
00
11
00
00
10
00
00
10
10
10
00
00
10
00
00
10
01
10
00
00
01
01
10
10
00
00
00
00
10
00
01
10
00
00
11
11
10
00
10
00
10
01
11
10
11
01
00
01
00
10
10
10
01
00
10
11
00
00
00
01
10
11
10
11
10
00
00
01
10
10
10
00
10
11
00
11
00
00
00
11
01
00
11
11
10
00
01
00
00
00
10
11
01
10
10
00
00
10
10
00
01
10
10
00
10
00
11
00
01
11
01
10
01
10
10
10
01
11
11
00
00
00
00
10
10
01
10
10
10
01
00
00
10
10
10
11
01
01
00
01
10
00
01
11
10
01
10
10
00
01
00
11
00
01
10
00
10
00
01
10
11
01
11
11
01
00
01
10
10
01
00
10
10
10
01
10
11
01
11
10
00
11
10
11
01
11
00
01
00
10
00
00
10
10
11
10
00
01
11
00
01
10
10
00
10
10
00
11
01
10
11
01
00
00
01
00
10
10
01
11
10
00
10
00
10
00
01
00
00
10
00
00
10
01
10
11
11
10
00
10
00
01
01
10
00
00
01
10
10
00
10
10
01
10
10
10
00
10
10
10
00
10
00
00
10
00
00
10
00
11
01
01
11
10
10
01
01
10
00
11
11
00
11
01
10
10
00
01
10
11
10
11
00
01
10
10
11
00
00
10
11
00
00
11
01
00
00
10
11
00
10
10
01
00
10
00
00
00
10
10
00
00
11
00
11
11
11
10
01
00
10
10
01
00
10
10
00
10
00
11
11
10
10
10
11
10
01
00
11
11
10
11
00
00
11
10
10
10
10
01
00
10
01
00
11
11
10
10
01
01
10
10
10
01
01
01
00
10
11
00
10
01
10
10
11
00
00
11
11
00
00
10
11
00
10
11
10
00
00
01
00
11
00
00
10
00
10
00
11
10
00
10
10
01
10
10
11
00
00
00
01
00
11
10
00
11
10
00
11
11
01
01
10
10
10
11
10
01
01
01
11
10
00
10
11
00
00
10
11
11
00
10
11
00
00
01
11
10
00
10
10
10
00
00
11
10
10
10
00
10
10
11
00
00
10
00
00
10
00
01
10
00
01
01
10
11
11
01
10
11
00
00
10
11
10
01
00
00
00
01
00
11
01
00
00
00
11
10
00
01
01
10
11
10
01
00
11
10
10
00
00
00
00
01
10
10
11
01
11
11
01
00
10
00
00
10
00
00
10
00
10
10
10
11
11
00
10
01
10
01
11
10
01
11
11
10
11
00
10
10
01
10
01
00
11
11
00
10
10
11
01
00
11
00
10
10
10
11
00
01
00
00
10
10
10
00
10
00
10
10
00
10
01
01
01
10
10
11
01
01
01
10
11
10
00
01
11
10
00
00
11
00
01
10
01
00
10
00
10
10
01
11
10
01
11
10
11
10
01
00
10
00
01
11
11
10
10
01
10
01
00
11
00
11
11
00
10
10
10
00
11
10
00
01
00
00
11
11
10
10
10
00
10
00
10
01
00
00
10
01
10
10
10
10
11
00
01
10
00
11
01
10
10
10
10
10
11
00
00
10
00
11
01
00
10
10
01
10
00
01
11
00
11
11
11
01
10
11
11
10
00
01
10
10
00
00
00
10
11
00
10
01
00
01
10
11
00
01
10
10
01
00
11
10
00
00
10
10
01
00
01
10
00
10
10
10
11
01
10
01
11
00
11
00
10
00
11
11
10
10
00
10
10
11
00
01
00
10
11
00
10
10
00
10
11
00
10
11
01
00
01
11
00
10
10
00
00
01
11
00
00
11
10
00
10
10
00
00
11
10
10
00
00
00
10
00
01
10
10
01
10
00
11
10
10
10
00
00
00
10
00
10
00
00
01
10
10
00
10
11
00
11
00
00
10
00
01
10
00
01
00
00
01
10
00
00
10
01
10
11
10
00
11
11
00
10
10
00
10
11
00
11
00
01
00
11
01
00
00
00
11
10
11
01
00
01
11
11
01
01
11
11
00
11
10
00
00
11
11
01
00
11
00
00
10
00
10
10
10
10
01
10
10
01
00
10
11
00
01
11
00
10
00
00
00
00
10
01
00
10
10
00
10
10
00
00
10
10
11
11
01
01
10
10
11
01
11
10
01
00
00
01
10
10
00
00
11
10
00
00
10
00
00
10
11
10
10
00
00
10
10
00
00
10
10
00
01
10
01
00
10
00
00
00
10
00
00
10
10
01
00
10
01
00
10
11
00
11
10
01
00
00
10
00
11
00
01
10
00
01
10
10
00
10
11
00
10
00
00
00
10
01
01
00
10
10
00
10
11
11
00
11
10
00
10
11
00
00
10
10
10
01
11
11
11
10
00
10
00
00
11
00
00
00
01
00
11
10
00
01
11
00
01
10
00
01
00
00
11
00
11
01
10
01
11
10
00
10
10
00
10
10
00
11
11
01
11
10
10
01
01
11
10
00
10
11
00
10
01
00
10
10
11
00
00
10
10
10
00
10
10
01
10
00
00
10
10
00
00
11
11
11
10
11
10
10
11
01
00
01
01
11
11
10
10
00
00
10
01
00
11
11
11
01
10
00
11
10
01
00
00
11
01
10
10
00
11
11
00
00
01
10
01
11
11
00
10
00
10
01
10
10
00
00
00
00
10
01
00
00
11
01
00
01
11
00
11
11
11
01
00
01
00
10
10
00
00
11
10
00
00
10
11
00
00
10
00
00
00
10
00
10
00
10
00
00
00
00
00
11
00
01
00
11
11
10
11
11
10
01
11
01
00
10
11
11
00
00
11
11
11
00
01
00
11
11
10
00
00
00
00
01
10
00
00
00
00
10
10
10
11
00
10
11
10
11
00
11
01
01
00
10
00
00
01
00
10
11
10
00
11
10
00
01
10
10
00
01
10
10
10
00
10
01
00
10
11
10
10
11
00
00
10
00
11
10
10
11
00
11
00
11
00
11
01
10
11
11
00
00
10
10
10
00
01
10
10
00
00
00
01
01
00
00
00
01
10
01
11
10
11
10
01
11
10
00
10
00
00
10
01
00
10
10
10
00
10
10
00
10
10
01
10
11
11
00
11
10
00
11
10
00
01
11
11
00
00
00
10
10
10
11
00
10
10
00
00
00
00
00
00
01
11
10
11
01
00
11
00
01
10
01
00
10
10
00
10
10
10
00
11
10
10
01
01
00
00
00
10
01
00
11
10
11
10
00
00
10
00
00
00
10
00
11
00
00
11
00
01
01
00
01
10
10
00
11
10
10
00
10
00
01
00
00
00
11
10
11
00
10
01
10
01
10
10
00
00
00
10
10
00
11
10
10
11
10
01
10
11
01
11
10
00
10
00
01
10
11
01
11
11
01
00
10
00
00
10
10
11
00
00
01
00
10
00
10
11
00
00
00
10
11
00
01
01
10
10
00
00
00
00
11
11
10
01
11
10
00
10
10
10
01
00
00
01
01
10
10
10
10
00
00
00
10
10
10
00
10
00
00
01
01
10
11
11
01
11
00
11
01
01
11
10
00
01
10
10
00
01
10
00
10
01
00
11
00
11
10
00
11
11
00
00
00
11
00
10
11
11
10
00
10
11
00
10
11
00
00
10
00
10
10
10
00
00
11
11
11
11
01
00
10
11
10
00
01
11
01
11
00
00
10
11
10
11
00
10
10
11
10
00
01
10
11
00
10
00
00
10
11
00
00
10
11
10
00
00
10
10
10
10
01
10
10
01
10
11
00
01
10
10
01
10
11
00
00
10
10
10
00
11
11
11
10
00
10
00
10
00
00
11
00
10
10
10
10
11
10
01
10
10
01
01
00
00
11
11
10
00
00
10
11
11
01
11
11
01
00
10
10
01
01
10
00
00
10
10
11
11
00
10
00
00
00
10
10
01
11
00
01
11
10
00
00
10
11
01
01
00
00
00
11
11
00
00
10
10
11
01
00
11
10
01
10
01
00
00
10
10
00
10
01
10
10
10
10
11
10
10
00
10
10
11
11
10
01
10
10
10
00
00
00
11
10
00
01
00
00
01
00
10
11
00
00
10
10
01
11
10
10
10
10
01
01
00
10
10
10
10
00
10
00
01
01
11
01
10
10
01
01
00
00
10
10
00
10
10
00
01
10
00
10
10
11
00
10
10
01
01
10
10
10
11
10
10
00
10
00
00
10
11
01
00
00
00
11
01
11
01
10
00
10
00
10
10
01
01
11
10
00
10
10
00
10
10
01
00
11
10
00
00
00
00
00
10
11
01
00
00
11
00
10
10
10
00
01
01
01
10
11
11
11
00
00
01
00
11
11
11
10
10
01
00
10
00
10
11
00
01
10
10
00
00
00
01
00
10
10
01
10
11
11
10
00
00
10
01
11
11
11
10
01
10
11
11
10
10
10
10
01
00
11
01
01
00
01
10
10
10
01
11
11
00
01
00
10
10
00
00
11
10
11
01
10
11
00
00
01
10
11
10
01
00
01
10
10
10
01
10
01
00
10
00
11
10
10
11
00
01
00
00
10
10
01
10
10
01
10
00
11
11
01
01
01
00
10
10
00
01
11
10
01
10
01
01
00
11
00
00
10
10
01
00
10
10
10
01
11
00
00
00
00
10
10
11
00
11
10
10
00
00
11
00
00
11
00
01
11
10
11
11
11
10
00
00
10
10
01
11
11
01
11
01
01
10
11
01
01
10
10
10
00
00
01
10
10
00
01
11
01
01
10
10
10
00
00
00
10
10
00
01
10
00
01
10
10
00
10
00
00
10
11
11
11
10
01
10
11
00
10
00
00
10
10
11
10
10
01
00
10
01
00
11
11
00
00
00
10
00
10
00
01
10
10
01
00
10
00
10
11
11
00
10
00
00
00
10
10
01
10
00
01
00
01
10
00
00
10
10
10
00
01
00
10
11
10
01
11
11
10
01
00
10
01
00
10
00
00
11
01
00
00
10
10
10
00
01
00
00
10
10
11
01
00
10
00
01
01
00
11
10
11
00
00
01
01
00
10
00
00
11
00
10
10
11
00
11
10
00
00
10
11
00
01
00
10
10
11
11
00
10
10
10
01
01
00
10
00
01
11
10
10
00
10
11
00
10
11
10
10
10
00
00
11
10
01
10
00
10
10
01
10
10
00
00
11
11
00
10
10
10
10
10
00
10
00
00
00
10
10
00
00
11
01
00
11
11
10
11
00
00
01
00
11
00
10
10
11
00
11
01
01
10
11
11
00
00
10
10
10
10
01
00
10
10
10
00
01
11
00
01
00
10
11
10
00
00
10
11
11
00
00
00
10
11
11
10
10
00
11
00
11
10
11
11
10
00
01
00
11
00
00
10
00
01
11
00
01
11
11
10
10
11
00
11
01
01
10
11
10
01
01
11
10
10
11
00
00
11
00
00
11
11
01
10
00
10
01
00
00
10
10
10
00
00
00
11
10
11
00
00
01
01
10
00
11
11
01
00
00
10
11
10
11
00
01
00
00
10
10
10
00
01
10
01
00
01
11
00
00
10
01
00
00
00
01
10
00
01
10
10
10
10
00
01
10
00
00
10
00
00
01
10
10
00
00
11
10
00
10
11
00
10
10
10
11
01
10
10
01
00
01
00
00
01
01
10
10
11
11
10
00
10
00
00
00
01
01
00
10
10
00
00
10
11
10
00
11
11
00
10
10
00
01
01
10
10
11
00
10
00
01
00
10
10
00
00
10
00
00
01
00
00
10
10
11
01
00
11
10
01
10
11
10
10
10
10
01
00
10
10
00
00
11
10
00
00
10
11
00
00
10
10
01
10
10
10
00
10
10
11
00
10
00
00
01
10
00
00
11
11
10
01
11
00
00
10
00
10
00
00
10
11
10
11
00
01
00
00
10
00
11
00
00
10
00
10
10
00
00
01
10
10
10
00
10
00
01
10
00
10
01
11
01
10
01
10
00
00
01
00
10
11
10
10
10
10
00
01
11
01
00
11
10
00
11
00
11
00
11
00
00
10
10
00
00
10
10
01
10
11
11
11
01
11
01
00
01
10
10
10
01
10
10
11
00
10
01
00
10
10
11
00
10
10
00
10
01
10
11
10
11
10
00
00
00
01
10
00
11
00
11
10
00
10
00
00
00
11
01
10
01
00
11
01
10
10
00
10
10
11
11
01
10
10
00
01
00
10
01
00
00
10
10
11
00
00
00
11
01
00
00
10
00
10
00
01
10
11
00
10
01
10
00
01
00
00
11
10
01
11
01
00
00
00
10
01
01
10
10
00
00
10
00
01
10
01
00
10
00
10
00
10
10
00
00
11
10
10
00
00
01
01
00
10
10
00
00
11
00
10
10
01
11
10
11
01
00
10
00
10
00
00
10
01
10
10
00
00
00
00
10
11
01
00
10
00
10
10
00
00
10
00
10
11
10
10
11
11
00
00
10
01
11
10
10
00
00
10
10
11
00
10
11
01
11
10
00
10
10
10
00
00
11
00
10
00
00
11
01
10
11
01
01
10
10
11
01
11
00
10
10
00
10
01
00
10
10
01
01
10
10
00
00
10
10
00
10
11
10
10
00
10
11
00
01
00
01
01
10
11
00
00
11
01
10
00
10
10
00
11
10
01
10
10
01
10
10
10
01
01
10
11
10
01
11
11
11
00
00
10
00
00
01
10
00
10
11
01
10
10
00
11
00
11
00
01
01
11
11
10
01
00
10
10
10
00
00
00
10
10
10
01
10
00
00
11
10
10
00
00
01
11
10
11
00
10
10
00
00
10
10
00
10
10
10
10
01
10
10
10
00
00
00
01
11
10
01
00
10
10
10
10
01
11
11
01
01
00
01
11
00
00
11
00
11
00
01
00
11
00
10
00
01
01
11
01
10
11
00
10
10
01
00
01
11
11
11
00
10
10
11
00
11
10
01
10
10
00
01
10
11
01
00
11
00
10
10
10
11
01
01
11
11
10
00
00
01
00
10
11
01
10
11
00
10
00
11
00
00
10
11
01
10
10
00
10
10
11
00
00
10
10
00
10
01
10
11
01
00
01
00
01
00
10
11
10
10
10
10
01
10
01
10
00
00
00
00
01
11
11
10
01
01
11
00
10
10
01
00
10
00
11
10
10
11
11
10
00
00
11
10
00
10
00
11
11
00
10
00
10
10
10
01
00
00
00
11
11
10
00
00
10
00
10
11
11
10
10
00
00
00
10
10
01
01
01
10
10
01
01
10
11
00
00
00
10
10
10
00
00
01
00
01
10
10
00
00
01
10
01
01
10
11
10
00
00
01
10
10
00
00
10
11
00
11
00
10
00
00
10
00
00
00
11
00
01
10
11
10
00
10
00
00
10
10
00
01
10
10
10
00
00
11
00
01
10
10
11
11
00
11
00
00
00
10
11
00
10
11
00
11
10
11
00
10
01
00
10
11
00
10
10
00
11
01
00
10
00
01
00
01
10
11
01
00
00
10
11
00
00
10
10
01
01
00
10
00
10
00
00
10
00
01
00
00
10
00
00
00
01
10
00
01
01
01
00
00
10
10
11
11
00
00
10
11
10
00
10
01
10
00
10
10
00
00
00
11
10
10
00
01
01
00
01
11
10
00
00
10
01
01
10
01
00
01
10
10
00
10
11
00
00
10
10
00
10
10
10
00
00
00
00
11
00
10
00
00
10
10
00
11
11
00
00
10
00
01
00
10
10
10
00
10
00
10
00
11
01
10
10
11
01
00
00
00
10
10
10
01
00
00
11
10
10
10
00
01
00
01
11
10
11
10
10
00
00
10
00
00
10
10
10
00
11
10
10
01
00
00
00
01
00
00
11
10
11
10
00
11
00
01
01
01
10
00
10
00
11
10
10
00
00
01
10
01
00
11
10
10
01
11
11
00
11
10
10
00
11
01
00
01
11
00
10
00
01
10
11
10
11
00
00
00
10
01
01
10
10
01
11
01
11
01
10
00
10
10
00
00
11
10
11
10
10
10
11
10
00
00
10
10
00
10
10
01
10
00
10
10
00
10
10
11
10
11
00
00
00
00
10
10
11
01
11
11
01
01
11
11
00
01
11
10
01
00
01
11
01
00
01
10
11
01
01
00
00
10
10
01
00
11
10
01
01
00
11
10
00
11
10
01
00
00
10
10
11
00
00
10
00
00
00
00
10
10
00
01
11
01
00
10
10
01
11
00
10
01
00
10
10
00
00
10
10
11
10
11
10
00
00
00
00
11
10
00
01
01
00
10
10
10
00
00
10
00
11
10
10
00
00
10
10
10
00
01
10
00
10
10
10
11
10
01
10
00
10
00
10
00
00
01
00
01
00
11
10
01
10
11
10
00
10
10
11
01
10
10
00
01
01
10
01
11
10
11
01
00
10
01
10
00
11
10
10
01
11
10
10
00
00
10
10
00
00
11
11
11
10
00
11
00
11
11
01
10
00
10
01
10
11
00
10
10
00
10
10
10
10
10
01
00
11
00
10
10
11
01
01
10
01
00
10
01
01
11
10
00
00
11
11
10
10
00
00
10
00
00
10
10
10
10
10
01
10
01
00
10
01
00
10
10
10
00
01
00
00
11
10
00
00
01
10
11
11
10
01
00
00
10
00
01
01
11
10
10
10
11
11
10
00
01
10
00
00
01
10
00
10
11
00
11
11
00
01
10
11
10
10
01
00
01
10
11
00
11
00
11
10
00
11
10
00
00
10
11
01
00
00
10
00
10
10
00
10
10
00
11
10
01
10
11
11
00
00
00
01
10
11
00
00
11
01
00
00
11
11
00
11
10
00
00
00
10
11
00
00
00
00
11
00
11
00
01
01
00
00
10
11
01
10
11
00
00
01
10
11
10
00
00
11
10
10
10
01
00
10
00
10
10
00
10
00
00
10
10
10
11
01
11
10
10
10
11
10
00
01
10
11
00
10
01
01
01
11
11
00
00
00
11
01
00
00
11
10
01
10
00
00
11
10
00
10
00
01
10
11
00
01
01
00
10
11
01
01
10
00
10
00
10
10
01
00
00
00
11
11
01
11
10
11
00
10
10
00
01
00
11
10
01
01
00
01
00
01
10
10
00
11
00
00
10
10
00
01
10
11
00
00
10
10
00
00
00
10
00
00
10
11
10
10
01
11
00
00
10
01
00
10
00
10
01
00
00
00
00
10
11
10
11
10
01
11
00
11
10
01
01
00
10
10
10
01
11
10
00
11
10
10
11
00
10
11
10
00
00
10
10
10
00
00
00
00
01
10
10
00
01
10
00
00
10
10
00
11
01
00
11
00
00
10
01
11
10
11
01
11
01
10
11
00
10
00
10
10
00
00
00
10
11
10
10
11
00
00
10
00
11
01
00
11
11
00
00
01
10
10
10
00
11
10
01
01
00
10
11
01
11
00
01
11
00
10
10
00
00
10
00
11
10
00
11
00
11
10
00
11
10
00
00
01
10
10
00
10
10
10
00
01
00
10
11
10
01
00
00
10
10
00
01
10
11
00
01
10
10
10
11
00
00
01
00
10
10
10
00
10
10
00
00
10
10
10
10
00
00
00
10
10
11
11
00
00
10
01
00
01
11
11
00
10
00
00
11
11
00
11
00
00
10
01
00
10
10
10
11
00
00
10
00
00
00
11
00
01
00
10
01
10
00
01
00
00
10
00
11
10
10
10
10
00
00
00
10
00
00
01
00
10
11
10
10
00
11
00
10
00
11
01
00
11
11
11
00
10
01
00
11
01
01
00
01
11
10
00
11
00
11
00
01
10
00
11
00
10
10
11
01
01
11
01
11
00
00
10
10
00
01
10
00
10
10
10
01
00
00
11
10
10
11
01
00
01
00
10
10
00
00
01
10
00
00
11
10
10
00
00
01
00
01
10
11
01
10
01
01
00
10
10
00
01
11
11
10
01
00
01
00
11
01
00
10
11
00
00
10
10
01
10
00
00
00
11
10
00
10
01
01
10
10
11
00
11
11
01
00
00
10
10
00
11
00
01
00
00
00
10
00
10
10
01
10
10
11
10
00
01
11
00
10
00
00
01
10
10
11
10
00
11
00
00
01
00
10
00
00
10
11
10
00
00
10
11
10
11
00
00
00
10
00
11
10
01
00
00
00
10
00
11
10
10
01
00
00
00
10
10
00
10
10
11
00
10
00
00
10
01
00
10
00
00
00
00
10
11
00
00
10
00
00
11
00
01
00
01
10
01
00
11
10
00
11
10
10
00
00
11
01
00
10
00
00
10
01
11
10
00
01
11
10
10
01
00
11
10
10
00
00
11
10
10
00
10
00
01
00
01
11
00
11
10
11
00
11
10
01
00
00
00
10
10
01
10
11
01
11
10
10
11
10
10
00
10
10
11
01
00
01
10
11
00
01
10
10
00
00
00
11
00
00
11
10
00
11
00
01
00
10
10
00
10
00
00
10
11
10
10
10
10
10
01
01
00
00
10
10
01
10
10
01
11
00
00
11
10
10
00
01
00
10
10
00
01
11
01
00
10
00
10
11
00
11
11
11
10
10
00
01
10
10
10
11
00
11
11
00
10
10
00
10
00
01
01
11
10
10
10
10
00
00
10
10
00
00
01
10
00
01
10
10
10
11
01
00
10
10
10
11
11
00
10
00
11
11
10
00
10
00
10
01
00
10
01
00
00
11
00
00
00
00
10
10
10
10
00
11
10
00
10
11
11
10
00
01
00
00
00
00
10
01
11
01
01
11
10
01
10
11
10
11
00
11
11
00
11
00
10
11
00
00
11
00
01
11
00
11
00
10
01
01
11
10
10
11
00
01
10
10
01
10
00
10
11
01
01
11
10
10
10
10
00
00
11
11
10
10
11
00
11
10
00
11
00
00
00
01
10
00
10
00
11
01
11
10
10
00
00
00
10
11
01
10
10
00
10
01
10
10
10
10
11
10
00
00
10
01
00
10
10
11
11
10
11
00
00
01
01
00
00
10
11
10
00
10
01
00
01
11
10
01
10
10
00
10
10
01
00
10
11
00
01
11
10
00
01
00
11
00
00
10
10
00
10
10
00
10
00
10
10
00
10
10
11
10
00
00
10
10
10
11
10
11
00
00
00
00
01
00
11
10
00
00
10
10
01
11
10
00
11
10
01
10
10
01
00
11
10
00
10
00
01
11
00
00
01
10
11
10
10
01
00
00
00
11
01
11
10
01
10
11
01
00
00
10
10
00
10
11
01
11
00
00
00
00
11
00
10
10
10
01
01
00
10
00
01
11
00
01
10
10
00
10
11
01
00
10
10
11
00
11
10
10
00
01
00
10
00
00
00
11
00
10
00
10
01
00
01
01
10
10
00
00
00
00
10
10
10
00
00
10
10
11
11
00
01
00
00
00
00
10
00
00
10
10
11
11
00
10
10
10
00
00
00
10
10
10
10
00
00
00
00
11
10
00
00
00
10
10
11
11
01
10
11
10
00
00
00
11
00
10
11
10
00
10
11
00
00
11
11
00
00
11
00
10
10
00
00
00
01
11
10
11
10
01
00
00
11
11
10
00
00
00
11
10
00
10
10
00
00
00
10
10
10
11
01
10
00
00
10
10
10
10
01
00
10
00
00
00
00
10
10
01
11
11
11
00
00
10
01
10
10
01
00
01
00
10
01
10
10
01
00
00
10
10
00
00
11
10
00
10
10
10
00
10
11
00
10
11
01
01
01
10
10
00
00
10
10
01
01
00
10
10
00
00
10
10
00
01
01
10
00
00
00
10
10
11
01
00
00
10
00
10
10
00
01
00
11
10
11
01
00
00
11
10
01
11
10
00
11
00
01
00
10
10
00
00
10
11
00
01
10
00
10
00
10
10
10
00
11
11
00
10
11
11
00
10
11
11
01
00
01
00
10
01
10
00
11
01
01
00
00
10
10
00
11
10
00
10
11
00
00
00
10
10
01
10
10
00
01
01
10
11
00
01
11
00
01
00
00
11
10
11
11
10
01
10
10
00
00
11
10
00
01
10
10
10
11
01
10
01
00
10
01
00
11
10
00
10
10
00
00
00
01
00
10
00
01
01
11
10
00
10
00
11
10
01
00
11
00
10
10
00
11
10
10
00
00
10
10
00
00
00
11
10
00
10
00
00
00
10
10
01
00
10
00
11
01
11
00
00
00
10
01
01
01
11
10
01
01
01
10
11
00
00
10
11
01
00
10
10
10
00
10
00
00
10
10
00
10
01
01
10
10
10
00
00
00
00
01
10
10
10
01
00
01
01
01
10
00
10
10
10
00
01
00
10
10
10
01
00
01
10
00
00
10
10
10
10
00
10
00
00
00
10
01
00
00
01
00
00
00
10
11
10
01
01
00
11
11
01
01
00
11
00
01
10
01
01
10
11
01
10
11
10
00
10
10
00
00
10
10
01
00
10
11
10
11
01
00
10
10
11
00
00
00
11
11
00
11
11
01
11
10
10
11
11
00
10
10
00
01
11
11
00
10
01
00
01
00
11
10
01
01
00
10
10
00
00
00
10
10
00
10
00
00
00
01
10
10
10
00
11
10
10
00
01
10
00
00
01
00
01
00
11
01
01
00
00
00
11
10
00
01
01
10
10
00
10
00
10
11
10
00
00
00
11
10
01
10
10
11
00
00
00
10
10
10
11
10
10
00
10
11
10
01
01
00
11
00
10
11
00
00
10
10
00
00
11
00
00
01
00
10
01
11
01
00
10
10
01
10
10
01
00
11
10
10
00
10
10
10
11
01
10
10
10
10
01
00
00
10
00
00
00
10
10
11
00
01
00
10
00
11
10
00
00
11
10
00
10
11
10
01
11
00
00
00
01
00
00
10
00
00
10
00
10
00
00
10
00
01
10
00
11
10
01
00
00
00
11
11
00
11
10
10
00
00
11
10
11
00
11
10
11
10
01
00
10
10
01
10
01
00
10
10
10
10
11
11
11
10
10
00
00
00
11
00
01
10
00
00
10
00
00
10
11
01
11
00
00
11
00
00
11
00
01
11
01
01
11
01
11
10
00
01
01
00
00
10
11
10
10
10
11
11
10
11
01
10
10
10
00
01
01
10
00
10
10
00
00
00
10
10
00
11
00
00
00
00
00
00
00
10
00
01
10
11
00
00
10
10
10
10
10
01
01
01
10
00
00
10
00
10
10
00
00
00
00
10
11
00
00
00
11
00
00
10
11
01
01
10
10
10
10
00
00
00
00
11
11
10
00
10
00
00
01
10
10
01
00
10
00
00
10
10
01
11
01
10
00
00
10
10
01
01
10
00
10
00
10
00
00
11
10
00
11
11
01
00
10
11
00
00
00
00
11
10
01
10
10
00
00
11
10
10
01
00
00
10
00
10
01
00
00
00
11
10
10
00
10
10
10
00
11
00
11
01
00
01
11
00
00
00
11
01
01
10
00
10
00
10
00
01
10
00
10
00
00
00
11
01
00
11
11
00
10
10
10
10
01
00
01
00
10
10
00
00
00
10
11
01
00
10
11
00
00
00
10
00
10
00
01
01
00
01
00
00
10
10
00
10
00
00
10
00
00
11
00
00
10
00
00
10
11
00
00
00
00
10
00
01
11
00
10
01
10
10
10
10
00
01
10
00
01
11
11
11
11
00
00
10
01
10
10
01
01
11
11
00
01
00
01
11
11
00
00
11
10
11
00
00
11
11
00
11
10
00
00
11
01
11
00
10
01
10
01
10
00
10
11
00
10
10
00
10
00
00
10
10
01
00
00
11
10
01
00
00
00
00
11
00
10
11
10
10
10
10
10
11
01
00
10
00
11
01
10
10
01
00
01
00
11
01
00
10
01
01
11
10
11
10
00
00
10
00
10
10
00
10
10
10
10
11
01
10
00
10
11
10
00
10
10
00
11
00
01
00
01
00
10
10
00
01
10
10
00
01
10
00
01
10
10
00
11
00
10
00
11
00
00
00
01
10
11
11
10
10
11
10
11
00
11
10
11
01
00
01
01
10
11
10
00
10
00
00
10
00
01
11
11
11
11
00
10
10
11
00
11
10
01
00
00
00
00
01
11
00
11
10
00
00
01
11
10
11
00
11
00
01
00
01
10
10
11
01
10
10
10
00
00
00
01
10
01
00
10
10
10
01
11
01
00
10
01
11
11
01
10
11
11
00
00
01
11
10
10
00
00
01
10
11
11
00
00
10
11
00
00
10
10
10
10
11
00
10
01
10
00
00
10
10
00
01
10
00
10
10
01
10
10
00
10
11
10
00
00
00
10
10
01
10
10
00
10
10
01
00
11
01
10
10
10
01
10
00
10
11
00
00
00
10
11
00
11
00
00
00
00
01
10
10
01
11
11
00
01
10
01
00
00
10
11
00
00
00
10
00
10
01
01
01
11
00
10
10
10
00
10
11
00
01
10
11
11
10
10
00
11
00
00
10
10
00
01
11
00
10
10
10
00
00
11
10
00
01
00
00
01
10
00
10
01
10
11
01
11
11
00
11
00
11
10
10
00
01
10
10
11
11
00
01
10
10
10
00
00
10
10
00
00
11
00
00
10
11
10
11
01
01
11
11
11
00
00
10
00
01
00
11
11
00
11
10
10
00
11
10
11
00
00
10
11
00
10
10
00
00
00
11
10
10
10
11
10
00
11
10
00
00
10
11
00
00
11
10
10
11
00
00
00
00
00
10
00
10
00
00
01
11
11
00
00
10
00
01
10
00
00
10
01
00
10
11
10
10
11
00
01
00
10
10
10
00
11
00
00
10
00
10
10
00
10
01
11
11
10
11
00
00
00
10
01
00
11
10
00
00
10
00
00
01
01
00
00
00
01
00
11
10
11
00
00
00
00
10
11
00
00
00
01
10
10
10
00
01
00
10
00
01
01
10
10
01
10
00
11
10
11
11
01
01
11
00
11
11
11
10
01
10
10
11
01
01
00
01
11
01
11
01
00
10
10
00
00
10
10
10
00
10
00
10
10
00
11
10
00
00
00
10
10
10
00
10
11
10
00
01
10
11
00
10
00
00
00
11
01
01
11
10
11
10
01
00
00
11
10
11
01
00
10
10
01
01
10
00
00
11
01
00
00
11
01
00
11
10
00
10
10
01
11
10
00
00
11
10
00
00
00
00
10
10
10
10
00
00
00
10
00
01
10
00
11
00
10
11
00
10
10
00
00
11
11
00
00
10
10
01
01
10
10
10
01
00
11
00
00
00
11
10
11
00
00
11
10
00
00
10
00
01
11
10
00
00
11
00
00
00
10
10
01
01
11
01
01
01
01
11
10
10
01
00
11
10
01
01
10
10
00
01
01
10
11
01
00
01
01
00
10
00
00
01
11
10
00
10
01
10
00
00
10
00
00
10
11
11
00
00
10
10
00
10
00
00
11
10
10
00
11
10
10
11
00
00
10
11
01
10
00
00
00
10
00
00
10
11
10
00
10
10
00
01
10
00
00
10
00
00
00
11
10
01
11
10
10
00
00
10
10
00
00
10
00
10
00
01
11
00
11
01
01
10
10
01
00
00
00
11
01
00
10
10
01
11
10
00
10
10
00
11
10
11
11
11
00
01
00
00
00
00
00
10
00
10
00
00
10
10
00
00
10
10
10
10
11
10
11
10
01
00
01
01
00
00
11
01
10
01
01
00
10
10
10
10
00
00
11
10
00
00
00
10
10
11
10
01
10
11
01
01
00
01
10
11
10
00
00
11
10
00
10
01
01
10
10
10
00
10
10
10
00
01
00
00
00
10
11
01
00
01
00
10
11
10
11
00
10
00
11
11
10
00
00
00
01
10
10
01
01
01
11
10
00
10
00
00
11
11
01
00
10
11
00
10
10
00
10
11
01
00
01
10
10
00
00
00
00
10
00
11
11
01
00
10
00
10
00
10
11
00
11
10
10
10
00
10
00
00
10
01
00
11
00
10
10
11
00
00
00
11
10
11
00
00
10
00
11
10
10
10
10
00
11
00
01
10
01
10
01
10
10
01
01
00
10
10
00
00
11
00
10
10
00
10
10
10
00
11
00
11
10
00
00
10
01
11
10
01
10
10
01
01
01
11
11
00
10
01
11
00
01
10
10
00
10
01
00
00
10
11
00
00
11
10
11
10
11
10
00
00
11
00
00
00
11
10
01
10
00
01
00
11
11
01
01
01
11
11
10
01
11
10
00
00
01
10
10
00
10
10
10
00
00
10
10
00
00
00
11
00
01
11
11
00
10
00
00
00
01
10
01
00
00
01
10
00
10
01
00
01
11
00
01
11
01
10
10
01
01
10
00
00
00
11
10
11
10
00
00
00
00
10
10
11
00
01
10
10
11
11
00
10
00
01
00
11
11
11
00
00
10
10
00
10
10
11
01
00
00
00
00
10
00
00
11
00
00
10
10
10
10
01
11
00
00
10
00
11
10
10
00
00
10
00
10
01
00
10
10
10
10
10
00
11
10
00
01
10
11
01
10
00
10
00
11
11
01
00
11
10
10
10
00
00
10
00
00
10
00
10
11
00
00
10
01
00
01
10
10
00
10
10
01
01
11
00
00
00
00
00
11
10
00
00
11
10
00
00
11
10
00
00
10
00
10
01
00
01
11
00
00
01
10
10
00
00
00
10
10
00
00
10
10
10
10
10
10
11
00
10
01
11
10
00
10
00
01
11
11
11
00
11
11
01
00
00
00
11
11
00
11
10
00
01
11
11
01
00
10
10
11
01
00
11
10
00
11
10
11
10
11
00
00
01
01
01
10
10
11
11
10
10
00
10
11
01
00
00
10
10
10
10
01
10
00
10
10
00
01
10
10
00
00
10
00
11
00
01
10
11
00
10
10
00
00
00
11
00
11
10
10
01
00
00
00
00
11
10
10
10
00
01
00
11
11
00
10
10
01
11
10
00
11
10
11
00
10
00
01
10
11
11
10
01
10
10
00
11
10
00
10
10
11
00
10
00
00
00
01
00
00
10
10
00
01
00
10
01
01
00
10
10
10
00
00
00
01
10
11
01
00
10
00
00
01
00
10
10
11
01
11
00
11
01
01
11
10
00
00
11
11
10
01
00
11
11
00
11
10
00
10
00
00
10
10
00
00
10
00
10
10
11
00
10
11
00
00
00
01
10
10
11
11
10
00
00
01
11
10
00
00
10
10
00
00
10
10
10
10
01
00
11
00
00
10
10
11
01
10
10
10
00
01
00
10
10
00
00
00
10
10
10
10
00
01
10
01
01
00
11
11
00
00
11
10
01
00
10
10
11
10
11
01
00
10
10
11
00
00
00
00
00
00
01
11
10
11
11
11
00
00
10
01
00
10
01
00
10
00
00
10
00
10
11
11
00
10
10
01
10
11
10
10
00
01
00
00
11
10
10
00
10
11
11
11
00
01
10
10
10
01
11
10
00
00
10
10
10
00
00
00
00
10
10
11
00
10
10
00
10
10
00
00
10
11
10
10
00
10
11
00
10
00
10
01
01
10
10
10
10
10
01
00
11
10
01
10
11
11
11
10
01
11
00
00
00
00
10
10
11
00
10
10
00
10
10
00
11
10
00
10
00
01
11
10
01
10
10
11
00
00
10
10
00
01
00
10
10
10
10
00
00
00
10
10
10
00
01
00
10
00
01
01
10
10
01
10
10
00
10
01
11
11
00
00
10
11
01
10
01
00
01
11
11
01
10
10
00
11
10
01
10
10
01
00
00
10
00
00
11
10
00
10
11
10
00
10
00
00
00
00
00
10
10
11
10
10
00
10
10
10
11
00
11
11
11
01
11
11
00
10
01
01
10
10
01
00
11
00
00
01
10
10
10
10
01
00
01
11
00
11
10
00
11
10
00
01
11
10
11
11
00
00
00
10
10
11
10
10
01
00
00
10
10
10
10
00
00
00
00
00
10
01
01
11
10
10
11
00
10
00
01
10
11
00
01
10
10
10
00
00
11
00
01
10
10
11
01
11
11
10
00
11
01
01
11
10
00
11
10
10
11
00
00
11
00
01
10
10
00
01
11
00
10
11
11
00
01
11
10
10
10
01
01
10
11
10
10
01
11
11
00
00
11
11
00
00
11
11
00
10
10
11
11
00
00
01
01
10
00
00
11
11
10
00
10
11
00
01
01
10
10
00
10
01
10
10
00
00
10
10
00
10
00
11
10
10
00
00
00
10
10
01
10
10
10
00
00
00
11
10
11
11
00
01
00
10
11
00
00
01
10
10
10
00
10
00
10
11
10
00
11
00
01
00
10
10
01
10
00
00
11
01
00
01
00
00
01
00
10
11
10
00
01
00
00
00
10
10
00
10
01
00
10
01
01
01
10
01
11
10
00
00
10
10
01
00
00
11
00
00
01
10
00
01
10
11
00
00
11
00
01
11
00
00
00
00
11
11
00
00
10
11
10
11
00
10
10
00
00
01
10
10
10
10
00
00
10
10
10
01
01
00
01
10
10
01
00
10
11
01
00
10
00
01
00
00
10
10
11
00
10
00
00
00
10
00
00
00
11
01
00
01
00
00
11
10
01
00
11
11
00
10
00
10
00
00
10
00
00
10
00
01
00
10
00
11
11
10
00
10
00
11
00
01
10
00
10
11
01
01
00
10
10
00
11
00
10
10
01
10
11
10
00
10
10
00
10
10
10
11
00
10
11
00
00
01
10
11
11
10
00
10
11
10
10
01
11
00
00
10
00
01
01
01
10
11
10
10
01
00
10
10
10
00
00
10
10
10
00
00
01
00
10
11
01
00
11
10
00
11
11
01
11
01
10
01
10
01
10
11
00
01
00
10
00
00
00
11
00
00
11
01
10
11
11
00
00
01
00
11
00
00
10
00
10
11
01
00
10
10
00
11
00
01
11
11
00
11
00
00
11
11
10
10
10
01
10
10
01
00
00
00
01
11
00
00
11
10
11
00
01
00
01
10
10
01
11
10
01
11
00
00
11
10
00
00
10
11
00
00
00
00
11
10
10
01
10
10
11
01
01
10
00
01
10
00
00
10
10
10
01
00
10
10
10
10
00
10
01
10
00
00
10
10
11
10
00
10
11
01
10
00
00
00
00
00
10
10
00
00
10
00
10
10
10
01
01
10
01
01
00
00
10
00
00
00
10
01
00
10
00
00
10
11
00
00
10
00
11
10
00
11
11
10
10
01
00
01
11
10
11
00
10
00
00
00
11
10
00
01
10
00
11
10
01
00
10
10
00
11
10
01
00
00
10
10
10
10
00
00
10
10
10
10
10
01
00
01
00
10
00
11
10
01
11
10
10
00
00
11
01
10
11
01
11
00
00
00
10
00
00
10
00
00
10
11
01
10
01
00
11
00
10
10
10
00
10
10
00
11
10
00
10
10
11
11
10
00
00
00
01
00
10
00
10
00
10
11
00
11
01
01
00
10
11
00
01
10
10
00
01
11
10
01
00
10
01
10
01
10
10
00
11
11
00
10
10
10
10
11
10
00
11
00
10
10
00
10
00
00
10
00
11
01
11
00
00
00
10
00
00
01
10
00
10
11
00
00
00
10
11
10
00
00
10
10
00
11
10
11
10
01
00
11
11
00
10
10
10
00
10
11
00
00
00
01
10
10
10
00
00
11
00
10
10
00
10
01
00
10
00
01
10
10
10
00
00
10
10
10
01
01
10
10
00
00
10
01
11
11
00
01
00
01
00
10
01
00
10
00
00
10
11
10
00
00
01
00
10
10
10
00
10
10
00
10
11
10
00
01
11
10
00
10
11
00
10
10
00
10
11
01
00
10
10
11
10
10
10
01
00
00
00
10
11
01
01
10
10
11
10
01
00
11
10
00
01
01
10
11
11
00
10
10
00
11
10
00
10
11
10
00
10
10
10
00
10
01
00
00
10
00
10
00
01
11
11
11
00
10
11
10
00
01
10
00
00
00
10
10
01
10
10
10
01
11
00
10
01
00
00
10
10
10
01
10
00
11
11
00
10
00
01
10
11
10
00
10
11
00
01
00
10
00
00
11
00
00
11
10
00
01
10
10
00
01
11
00
10
11
00
01
10
10
10
10
11
00
01
10
01
00
10
00
10
10
00
00
11
00
11
00
00
01
01
10
10
11
00
10
10
00
01
10
10
00
00
11
00
00
00
10
10
01
01
10
01
01
11
00
11
00
00
11
10
00
11
10
11
00
00
11
00
10
10
01
01
10
10
10
11
00
00
00
00
00
10
10
00
10
01
01
00
00
01
10
11
01
11
10
10
00
00
10
01
10
11
01
10
10
00
10
00
01
10
00
00
10
00
10
11
00
00
00
01
00
10
11
11
01
10
00
00
11
00
00
10
10
11
00
01
11
00
11
00
11
00
10
10
01
11
00
01
11
11
00
10
00
00
00
10
01
10
10
00
00
11
01
01
11
11
01
00
11
10
10
00
01
10
10
11
00
01
00
10
10
00
10
00
10
00
01
10
10
00
01
10
10
01
10
10
00
00
01
11
11
00
01
10
00
00
10
00
00
01
10
11
10
11
00
00
00
10
11
01
10
00
01
10
10
01
01
11
10
00
10
01
11
01
00
10
00
00
11
10
10
01
10
10
11
00
01
10
10
00
11
00
10
11
00
00
11
10
00
00
00
11
10
01
00
11
00
11
00
00
01
10
11
00
11
11
11
00
11
10
01
00
10
00
00
10
10
01
00
00
01
11
00
00
00
11
10
10
11
11
00
00
10
10
11
00
00
00
10
10
00
00
10
10
00
10
11
01
10
10
01
01
01
00
10
01
00
00
10
10
00
11
00
00
00
11
01
10
10
10
01
00
10
10
10
00
10
10
10
00
00
00
10
00
01
00
10
01
11
11
00
01
10
11
00
00
00
10
01
11
10
00
00
00
00
01
10
00
00
00
10
10
10
01
11
11
00
00
10
11
11
00
00
11
01
01
10
00
11
10
10
10
10
00
11
00
01
10
10
00
10
10
00
00
11
01
01
00
11
10
00
11
11
01
00
00
10
10
00
00
11
11
11
10
00
01
00
00
00
10
10
00
01
10
11
00
11
10
10
01
10
11
01
10
10
00
00
00
10
11
10
00
00
11
10
10
11
10
00
00
11
00
00
10
01
01
01
10
10
00
10
00
00
01
10
10
10
10
11
00
11
10
11
00
01
01
10
00
00
00
00
10
11
10
00
00
01
10
10
00
01
01
01
11
00
00
11
10
00
10
10
10
00
01
11
00
10
00
00
10
11
00
00
00
01
11
10
10
10
00
10
10
10
01
10
00
11
10
11
11
01
01
01
10
11
11
01
00
11
10
01
00
11
01
00
00
11
10
10
10
10
00
10
00
00
10
11
11
00
11
00
01
01
01
11
00
00
10
01
00
10
10
01
01
00
00
10
01
00
00
10
10
11
10
00
00
00
00
00
10
11
11
00
11
01
00
00
00
10
10
10
00
00
10
10
10
10
01
10
00
10
10
00
00
10
11
10
11
10
00
00
00
00
01
01
11
00
01
10
00
01
01
10
00
10
00
11
10
10
11
01
01
10
00
10
01
01
10
01
00
10
11
10
10
10
10
00
10
01
10
11
01
10
11
10
00
00
10
11
00
11
10
00
00
00
01
01
11
10
00
00
10
01
11
00
00
00
10
01
00
10
11
10
10
11
00
10
11
10
11
10
00
00
11
10
01
11
10
10
11
10
10
11
01
00
01
00
10
10
10
00
01
10
11
10
10
00
00
00
01
01
11
11
10
00
10
10
00
11
00
00
00
01
10
10
11
00
10
10
00
11
10
01
00
00
10
00
10
10
00
10
10
00
10
10
00
01
00
00
10
00
01
10
10
10
01
00
01
00
11
11
11
00
11
00
00
00
11
00
11
11
01
10
10
10
10
00
00
00
10
00
00
00
10
11
01
01
11
10
11
01
11
11
00
01
11
10
00
11
00
01
10
10
00
10
10
00
10
11
00
10
01
11
01
00
11
10
00
00
00
00
00
10
10
00
10
01
10
10
10
00
00
00
10
10
11
01
00
10
10
01
00
00
10
10
11
01
10
00
00
11
00
01
00
10
10
00
00
01
00
01
10
01
00
01
01
01
11
11
10
11
00
00
10
10
01
00
00
00
10
10
10
10
00
10
11
11
10
10
00
10
00
10
01
10
00
01
11
00
01
01
01
01
00
11
11
00
00
10
11
00
10
10
10
10
10
10
01
10
01
10
10
00
11
01
11
01
01
10
11
00
00
10
01
01
10
00
11
00
10
10
01
00
11
10
11
10
01
00
10
00
00
00
01
10
10
10
00
00
11
11
00
00
11
00
10
00
10
10
10
00
01
01
10
10
10
11
00
01
11
10
00
00
10
01
11
11
00
11
00
10
10
11
00
10
10
00
00
11
10
11
10
00
01
00
00
10
10
00
10
10
00
00
00
10
00
00
10
11
11
00
00
01
11
11
10
11
11
10
00
01
10
00
00
10
01
10
10
00
00
11
00
10
01
01
11
11
00
01
00
00
01
10
11
00
00
10
01
01
00
00
11
10
00
01
10
01
01
10
00
10
11
01
00
11
10
10
01
10
10
00
00
11
10
00
10
11
10
00
10
00
10
11
00
00
10
10
01
01
00
00
10
10
00
11
10
00
10
10
01
11
01
10
01
01
00
10
10
01
00
10
10
10
11
00
10
10
00
11
11
11
00
00
01
00
00
10
11
00
00
10
10
00
11
10
00
01
00
10
00
11
10
01
10
11
01
00
00
10
11
00
10
11
00
00
01
00
11
10
01
00
00
11
00
00
10
10
11
10
01
01
10
11
11
01
11
11
01
00
10
10
01
10
11
00
00
10
10
10
10
10
00
00
10
00
10
01
10
00
10
10
01
10
01
11
11
10
01
10
00
01
10
10
00
00
10
01
11
00
01
00
00
00
00
11
01
10
10
00
00
00
01
10
00
00
10
10
10
10
00
11
00
10
00
10
10
10
00
00
00
10
11
10
01
01
00
10
01
00
10
11
00
00
10
10
10
01
11
00
10
01
11
01
01
11
00
10
00
00
00
11
10
10
00
10
10
00
01
00
00
00
10
00
11
00
00
10
10
01
11
11
00
00
11
10
10
11
00
01
11
00
01
00
00
10
10
10
11
00
01
00
10
01
11
00
01
10
10
10
11
10
00
10
10
11
00
01
00
01
00
01
10
10
00
00
11
10
10
11
11
10
10
00
01
10
10
00
10
11
10
11
01
00
01
01
01
01
11
11
11
10
00
00
11
10
01
00
11
10
00
01
00
11
11
01
10
00
01
11
00
01
10
11
01
10
01
01
10
01
01
00
10
00
00
10
11
00
10
10
10
10
10
10
11
01
00
00
00
00
11
10
00
01
00
10
11
11
11
11
11
10
01
10
10
00
00
10
00
01
11
01
10
11
00
10
10
00
10
01
01
10
11
10
11
00
10
00
10
10
00
00
10
10
00
11
01
10
11
00
00
11
00
00
11
01
01
00
01
11
00
10
10
01
00
11
10
10
10
10
10
10
01
11
10
00
00
01
00
01
00
10
11
00
10
00
10
10
10
00
01
01
00
01
01
00
01
00
00
10
10
10
10
00
00
00
00
00
00
10
00
11
10
00
11
11
01
00
00
01
10
00
10
10
00
00
11
01
00
11
01
10
10
00
01
11
11
00
10
00
10
11
11
01
00
00
10
00
00
10
10
11
01
00
11
11
00
10
10
10
01
00
10
11
11
10
01
11
11
00
00
11
10
01
00
00
11
10
01
11
10
00
10
01
00
10
10
00
10
01
10
01
10
11
00
10
10
01
11
10
01
00
11
10
11
11
01
11
10
10
00
00
00
10
00
00
00
10
01
00
11
11
00
11
00
10
10
01
00
00
11
00
10
00
10
10
11
01
00
00
10
11
10
10
10
01
10
10
00
00
00
10
10
01
10
00
10
10
00
10
10
00
00
10
11
00
10
10
01
00
11
10
10
10
00
01
11
11
00
00
00
00
00
10
00
10
11
00
10
00
00
11
00
10
10
00
11
10
10
00
10
11
00
10
01
01
10
01
00
11
11
10
00
11
00
01
00
11
10
00
11
00
01
10
00
00
11
01
00
00
11
00
01
00
01
10
00
00
10
01
10
10
00
01
10
10
01
00
10
10
01
00
01
10
10
10
00
10
00
00
10
00
10
10
11
11
00
11
10
00
10
00
10
10
00
00
01
00
10
10
10
10
00
11
00
10
00
00
10
01
11
10
00
10
00
00
00
00
10
00
11
10
10
10
00
11
00
00
11
10
00
01
01
10
10
01
00
00
10
10
11
11
10
10
11
00
10
00
11
00
10
11
00
10
01
10
11
10
00
10
01
00
11
00
00
01
00
00
11
11
00
10
00
00
00
11
10
00
00
10
00
10
10
11
00
00
01
00
00
00
00
01
00
10
01
01
10
11
11
10
01
00
10
00
00
10
00
11
10
11
10
11
10
00
10
10
01
10
10
00
10
11
11
01
10
00
10
10
10
00
00
00
11
10
10
10
11
11
01
00
11
00
10
11
00
11
01
00
11
00
10
00
11
10
10
10
01
00
10
01
11
10
00
10
00
00
10
10
11
10
00
11
11
10
11
00
00
10
10
11
00
10
10
00
00
10
11
00
10
11
00
00
00
10
00
10
11
00
10
10
11
00
10
10
00
00
00
10
11
01
00
11
10
11
01
00
10
11
11
10
10
00
00
01
01
11
10
01
10
10
11
01
00
01
00
11
10
01
00
00
01
10
10
00
10
11
10
00
00
00
00
11
11
00
00
11
00
00
00
10
10
00
10
10
00
00
11
10
00
11
00
01
00
01
00
11
11
00
11
11
01
00
10
00
00
00
10
10
00
10
11
10
00
11
00
10
00
11
11
10
10
01
01
10
00
10
10
00
00
10
11
10
01
10
10
00
11
10
10
01
00
10
00
01
10
11
00
10
10
01
10
10
11
00
11
10
00
01
00
11
10
00
00
10
10
10
11
01
00
11
11
10
10
11
11
01
11
10
11
00
01
00
11
10
00
01
10
00
00
00
10
10
10
00
01
00
01
10
11
10
00
01
00
10
11
10
01
10
00
01
11
11
00
10
10
00
10
10
10
01
11
10
10
10
00
00
00
00
00
10
11
10
00
10
11
01
01
00
10
10
01
00
01
00
11
11
11
10
00
10
01
10
01
01
11
00
00
01
00
00
11
10
00
00
00
10
00
10
11
10
11
00
01
10
10
10
10
11
00
10
10
10
00
10
10
00
00
10
10
11
01
10
10
11
00
10
01
01
10
10
10
11
00
10
00
10
10
10
01
00
00
00
00
00
00
10
10
00
00
00
11
00
00
11
00
11
00
11
00
10
11
01
01
11
10
00
01
11
00
10
11
00
11
10
00
00
10
10
00
00
10
00
00
10
00
00
11
00
00
00
10
01
10
01
00
10
11
11
10
10
01
01
11
10
00
10
10
10
10
01
00
01
00
00
10
01
01
01
10
11
00
11
10
00
10
11
01
01
10
11
10
00
10
01
00
00
10
11
10
01
10
00
01
00
11
10
10
00
00
11
11
10
00
01
10
11
01
10
11
00
10
10
00
00
10
00
00
10
10
00
01
00
10
00
10
10
11
11
11
11
01
00
00
00
00
10
10
01
00
10
10
10
01
10
10
00
00
10
00
01
10
00
10
10
00
10
00
01
00
00
10
10
01
00
10
00
10
11
11
10
11
11
10
11
01
01
10
10
01
01
11
10
00
00
01
11
11
11
01
00
10
00
10
10
10
00
10
01
00
00
10
10
10
11
00
00
00
01
10
00
00
00
10
10
00
10
00
10
01
01
10
00
11
11
01
10
10
11
11
00
00
00
10
10
00
00
00
10
00
11
01
01
00
00
11
10
10
00
01
11
10
01
10
00
10
10
00
00
11
10
00
01
10
10
01
10
10
00
10
10
00
11
11
00
00
11
10
10
00
11
00
00
11
00
01
10
10
10
00
11
11
10
00
10
00
00
10
11
01
01
00
11
10
01
10
00
01
10
00
11
10
10
11
00
11
10
00
00
01
00
10
01
10
00
01
11
01
10
00
11
10
10
11
00
00
10
10
10
10
00
01
00
10
01
00
11
11
10
11
01
00
10
00
00
10
10
10
10
00
00
00
10
01
00
10
00
00
01
00
01
11
00
11
00
00
00
10
10
00
00
00
01
10
11
00
01
11
10
01
10
00
11
10
00
00
11
11
11
10
00
00
10
00
01
10
10
10
10
01
10
00
00
11
01
00
00
11
00
10
10
01
10
00
10
10
01
01
10
10
01
01
00
10
10
10
10
00
10
00
01
10
11
01
10
01
00
00
10
10
00
00
10
01
10
11
01
00
01
01
00
11
01
10
11
10
01
00
10
10
01
11
00
10
11
00
01
11
10
01
00
11
00
10
00
01
10
00
10
11
10
11
00
00
10
10
00
00
10
10
10
00
01
00
11
10
00
10
10
00
00
01
11
10
10
10
11
11
00
00
10
00
11
01
11
00
00
11
10
10
00
11
10
10
00
01
10
11
01
10
00
10
11
11
00
00
10
11
10
01
01
10
00
01
01
10
10
11
00
00
01
11
10
00
00
00
00
10
01
00
10
10
10
00
10
00
00
10
00
01
01
11
11
00
11
10
11
01
00
11
10
00
10
10
00
00
11
10
00
10
11
00
10
00
11
11
01
01
00
00
10
10
01
01
11
00
10
10
10
11
11
10
10
10
00
00
10
11
00
11
10
10
00
11
00
00
00
00
11
10
01
01
00
10
00
10
10
10
01
00
11
11
01
10
10
00
10
00
00
01
11
11
11
01
01
10
00
11
00
01
11
10
00
00
00
00
00
10
10
00
10
10
10
10
11
10
00
10
00
00
10
10
10
00
11
00
01
01
00
10
11
10
01
00
11
10
01
01
10
01
10
01
01
01
00
10
11
01
01
11
11
11
00
00
01
10
10
00
00
01
00
10
10
01
11
00
01
00
00
10
11
00
01
00
10
10
01
01
11
01
01
11
11
01
00
10
00
01
10
10
01
00
11
10
11
00
10
00
10
10
01
01
11
11
00
10
00
00
10
10
00
00
11
00
00
10
00
10
11
10
10
00
10
00
11
11
00
00
10
01
10
10
00
10
10
11
00
00
00
11
10
11
00
00
01
01
10
00
01
11
00
10
00
10
11
01
00
10
11
00
11
11
00
00
10
10
10
01
00
10
01
10
01
00
10
11
10
00
00
00
10
01
00
10
01
10
01
00
11
00
01
10
00
00
11
11
00
10
10
01
00
10
11
00
00
11
00
10
10
00
00
11
10
00
11
00
11
10
00
11
00
01
01
11
10
01
00
01
01
00
11
10
11
11
01
00
00
10
00
00
10
00
10
10
00
10
01
01
00
10
00
00
00
10
10
10
00
10
10
00
01
00
10
10
10
00
00
10
10
10
00
11
11
10
01
01
11
11
00
10
10
01
01
00
10
11
00
11
00
00
10
01
11
00
00
10
10
10
00
10
00
00
10
10
11
00
10
10
00
00
01
01
01
10
11
10
10
10
00
10
10
10
00
11
11
00
00
10
11
00
10
00
10
10
00
10
11
01
01
10
00
00
00
11
10
11
00
01
00
00
00
10
10
00
01
10
10
00
01
01
11
00
00
10
11
00
00
01
10
00
00
11
00
10
10
00
01
10
10
01
10
10
11
00
10
10
00
10
00
10
00
11
10
01
00
10
00
01
11
10
11
00
10
00
11
00
10
00
01
11
10
00
00
11
10
11
11
00
10
00
10
11
10
10
00
00
11
00
10
11
00
00
00
10
10
00
01
11
01
00
10
00
10
10
01
00
00
10
00
00
10
00
11
10
01
01
00
00
11
00
10
10
01
10
11
10
10
11
10
00
00
10
10
10
01
00
10
11
10
10
10
10
01
10
01
10
11
00
00
00
00
00
10
01
00
10
10
11
00
10
00
00
10
11
01
10
10
01
01
10
11
11
00
10
10
00
10
00
00
00
10
11
01
11
10
10
11
11
10
10
00
01
01
10
11
10
00
01
00
01
10
11
00
10
10
10
10
00
00
10
10
11
01
01
11
01
10
00
11
10
01
10
11
00
00
11
01
01
11
10
00
00
10
00
00
10
10
00
00
10
11
00
11
00
10
00
00
01
10
01
01
00
10
00
01
00
10
00
01
00
01
11
10
01
00
10
10
01
00
01
10
11
10
10
01
01
10
11
10
00
10
11
00
10
00
00
10
01
00
11
01
11
00
01
10
11
11
01
01
11
10
00
00
00
11
11
10
00
11
01
10
10
00
10
01
10
01
11
11
00
01
10
00
10
10
00
00
00
01
11
10
10
10
10
00
00
10
01
00
00
10
00
11
00
00
11
00
00
01
00
00
10
11
00
00
10
00
10
11
11
10
00
01
00
10
10
00
00
10
11
01
00
00
10
01
10
10
00
10
00
11
00
11
10
10
01
00
11
10
01
00
00
10
10
11
01
00
10
00
10
11
00
10
10
01
11
11
11
00
10
11
00
01
11
11
00
01
01
10
01
00
10
10
10
00
01
11
10
01
10
10
00
10
10
00
01
10
10
01
00
00
01
01
11
00
01
01
00
01
10
11
01
11
00
00
00
10
00
10
00
00
10
10
11
00
00
00
00
10
11
10
11
10
10
10
10
11
00
01
10
11
00
11
00
10
10
00
00
00
00
10
00
10
01
00
11
10
10
01
11
10
00
01
10
10
00
01
10
11
10
11
11
01
00
00
01
10
01
00
11
00
00
10
00
10
00
10
10
00
00
10
10
10
11
00
11
00
11
00
01
11
01
00
10
10
10
01
00
11
11
00
00
11
10
11
01
00
01
10
01
10
10
00
00
00
10
00
10
11
10
00
00
00
10
10
00
00
00
10
11
00
00
10
11
10
10
00
10
10
11
10
10
01
10
11
00
11
10
11
00
01
01
11
01
01
01
11
11
01
10
00
00
11
10
10
00
00
00
11
01
01
11
10
10
11
00
00
10
01
01
11
00
10
10
10
00
10
10
00
00
10
01
10
10
11
11
10
01
01
10
11
01
10
10
10
00
11
00
00
10
10
00
10
01
10
01
10
10
10
00
00
00
11
11
11
10
00
01
10
11
00
00
10
11
10
00
00
00
00
01
00
10
10
00
10
00
01
10
00
00
00
00
01
11
10
10
11
11
10
10
10
00
10
01
00
11
01
10
10
01
11
01
00
00
10
10
01
00
00
10
11
00
01
00
01
00
11
10
00
00
10
11
10
11
10
01
11
01
11
11
00
00
10
10
00
00
00
00
00
11
00
00
10
11
00
10
00
11
01
11
00
10
11
01
10
10
00
00
01
00
10
00
00
10
00
11
00
10
00
10
11
00
10
10
10
00
10
11
11
00
01
11
01
10
00
11
11
01
11
00
01
11
00
00
00
10
10
00
00
10
01
00
00
10
10
11
00
01
10
11
00
00
00
10
11
01
00
10
11
00
00
00
00
10
10
00
11
00
01
00
10
11
10
00
00
11
11
00
10
10
00
00
00
00
10
11
01
10
00
10
10
00
00
10
10
00
00
11
10
10
00
00
00
10
10
00
01
01
11
11
11
11
11
11
00
01
00
11
10
11
00
01
11
00
10
10
11
00
10
01
00
00
10
01
10
10
10
00
01
11
00
10
11
00
00
01
11
10
00
00
00
00
10
10
11
10
11
00
10
00
00
00
11
01
10
10
00
10
00
00
01
10
11
00
00
00
11
10
10
00
00
10
01
11
01
10
01
11
10
00
00
01
10
00
01
11
10
10
10
10
11
11
01
00
11
00
00
10
10
00
00
01
10
00
01
11
00
00
01
10
10
00
00
10
10
10
00
00
10
00
00
01
00
00
00
11
11
00
00
11
10
00
10
00
10
01
01
11
11
00
00
01
00
00
00
11
10
00
00
10
00
00
01
00
00
01
00
01
10
10
10
00
00
11
00
00
01
00
01
10
10
10
00
00
11
10
00
00
01
10
11
00
11
00
00
10
01
00
11
10
00
10
01
10
00
00
11
00
10
11
11
11
10
10
00
10
00
00
00
10
10
01
11
10
11
00
10
00
00
11
10
00
00
10
10
10
10
00
01
00
11
10
01
10
10
01
00
11
10
00
00
10
10
11
10
00
10
00
01
00
00
11
01
01
00
00
00
00
01
10
11
10
10
11
01
10
11
01
01
00
10
00
00
00
01
10
01
10
00
00
01
01
00
00
01
11
10
00
00
11
10
11
10
01
00
10
10
00
01
10
00
01
00
10
00
00
00
10
00
10
11
00
10
10
01
01
11
01
11
00
01
00
00
01
10
10
10
00
00
00
10
00
10
10
00
00
01
00
01
00
10
00
11
10
00
01
01
11
10
00
11
10
00
10
10
00
10
00
01
10
00
11
00
01
10
01
01
11
01
01
01
11
10
00
10
10
10
00
01
00
00
10
10
00
00
01
11
10
10
00
00
10
00
00
11
10
11
10
11
00
01
00
00
00
10
11
00
00
11
01
10
11
10
01
00
01
10
10
01
01
10
10
00
00
11
00
10
00
01
00
10
00
10
10
11
01
01
10
10
00
00
11
00
10
11
11
00
01
10
10
00
00
00
11
01
00
01
10
00
01
10
10
00
01
11
11
10
01
00
10
11
01
10
11
00
00
00
00
10
00
11
10
10
10
01
10
00
01
00
01
00
11
10
10
00
10
01
00
00
10
10
00
11
00
01
10
00
10
11
10
10
00
00
01
10
00
10
11
10
11
10
10
10
01
00
11
00
01
10
00
10
10
01
00
11
10
00
10
00
00
10
11
00
01
11
11
00
01
10
10
10
01
00
00
10
11
10
10
01
11
10
00
11
00
00
11
00
00
10
00
10
11
00
01
10
10
00
11
10
00
00
11
10
10
00
01
10
10
00
00
10
10
01
01
00
10
10
10
00
00
10
01
11
10
00
00
10
11
00
00
10
10
00
11
11
10
10
10
00
00
10
10
11
00
00
10
11
10
00
00
00
00
11
10
00
00
10
10
10
10
10
01
10
00
00
10
01
10
00
11
11
01
00
00
00
01
10
11
11
10
11
10
00
00
10
11
00
10
00
01
01
00
00
00
10
00
10
00
10
00
10
00
00
10
00
10
10
00
10
11
10
01
00
01
10
11
00
01
00
11
00
00
00
10
11
10
11
11
00
01
10
10
01
00
10
00
00
10
10
00
01
10
11
11
10
00
00
01
01
00
11
10
10
01
00
01
00
01
11
00
00
10
10
00
01
10
11
00
10
11
11
11
10
01
00
11
00
00
00
11
00
00
10
11
00
00
11
00
10
10
00
00
11
10
00
00
11
10
00
01
11
00
00
00
01
10
11
00
00
01
01
11
00
11
11
11
10
00
10
11
00
10
00
00
00
11
10
00
10
00
00
00
10
10
00
00
01
10
10
01
11
11
01
00
00
00
10
10
11
00
01
01
10
00
00
10
10
00
00
00
00
10
10
01
01
01
00
10
00
00
00
00
00
10
00
00
00
11
10
01
11
00
01
10
00
10
00
00
10
11
00
00
00
10
00
00
00
10
10
10
10
00
10
00
01
00
01
11
10
01
00
10
10
11
00
00
00
11
10
00
10
01
10
00
10
11
00
01
00
11
11
00
10
10
10
00
11
10
10
00
00
00
11
00
00
10
11
11
10
10
00
00
10
01
11
00
01
10
01
10
11
11
10
10
01
10
01
00
10
01
00
10
01
10
11
11
10
10
00
10
00
10
11
01
01
00
00
01
10
00
01
11
11
10
10
10
00
10
10
01
00
01
10
00
00
00
00
11
10
10
00
00
10
00
01
01
00
00
10
11
01
00
11
01
00
00
01
10
10
01
01
10
10
10
10
11
10
00
11
10
01
01
01
10
00
00
01
10
11
10
00
01
11
10
01
10
00
10
11
01
10
11
00
01
10
10
01
11
10
00
00
01
11
10
11
00
10
10
00
00
10
00
00
10
11
11
10
00
11
10
10
00
01
00
10
01
01
00
10
10
00
01
11
10
10
10
00
00
10
10
00
01
00
01
10
00
00
01
10
01
00
10
01
10
01
11
00
00
11
01
00
10
10
00
11
10
10
01
11
00
01
10
11
10
00
00
00
10
11
10
01
10
10
11
00
10
00
10
10
11
11
10
00
10
01
10
10
01
11
01
11
00
00
01
10
11
10
00
01
10
10
10
10
11
10
00
00
00
10
11
00
01
10
01
00
01
10
11
00
01
11
10
00
01
10
01
00
10
00
00
10
00
00
11
00
10
10
10
11
01
10
00
10
01
10
10
10
00
00
00
10
10
00
01
10
11
11
10
10
10
10
00
00
11
10
01
00
01
11
00
10
00
10
00
10
11
10
01
10
10
00
10
00
10
01
10
10
00
00
00
00
11
10
10
00
10
00
10
01
00
00
11
00
10
10
00
00
01
10
01
10
11
10
10
10
01
10
11
01
01
00
00
00
10
10
11
10
00
11
01
00
11
10
00
00
00
10
10
00
01
01
10
10
00
00
11
00
00
10
01
10
11
10
10
01
10
01
00
00
10
01
11
11
00
11
00
00
00
10
00
01
10
11
01
10
11
00
01
10
00
01
01
10
10
11
00
01
00
00
10
00
10
10
00
00
10
01
10
11
10
10
00
00
11
00
00
10
01
01
00
01
10
11
01
01
00
00
00
11
10
01
10
00
10
10
00
10
00
01
10
11
10
01
10
00
00
10
00
10
10
10
00
00
11
00
01
01
10
00
11
11
00
01
11
00
01
00
11
10
00
11
10
10
00
11
10
00
00
00
10
11
11
00
00
00
11
00
10
10
01
00
11
00
11
00
00
11
10
00
10
10
00
00
00
11
10
01
00
10
00
10
00
00
01
10
10
10
10
00
00
00
00
11
10
00
11
00
00
10
11
00
01
10
11
10
01
11
00
00
11
11
00
01
11
00
00
10
00
10
10
00
00
00
00
00
10
10
11
00
00
10
10
11
10
10
01
00
00
10
01
00
10
00
11
10
10
11
00
00
00
11
00
11
11
11
11
00
00
10
11
00
00
10
10
11
01
01
00
01
00
00
10
01
11
00
10
10
11
00
00
11
10
10
00
01
00
00
01
10
10
01
11
10
00
00
00
00
11
10
10
11
01
10
01
10
11
11
11
10
10
10
00
10
11
00
01
01
11
01
00
01
10
00
01
00
11
00
00
11
10
00
00
10
10
11
11
01
00
00
00
10
10
10
00
00
00
00
10
00
10
10
10
00
00
00
11
01
01
00
11
10
10
11
11
00
11
10
00
11
00
00
11
10
00
00
00
10
00
10
10
00
01
10
10
10
01
10
00
00
00
00
00
00
01
10
10
00
10
11
01
11
00
10
11
10
10
11
00
00
00
00
10
00
10
00
10
00
10
00
11
10
01
10
00
00
11
10
01
00
11
10
00
10
11
10
01
01
11
01
10
11
11
00
00
10
10
01
11
00
01
01
11
10
10
11
00
10
11
10
11
01
01
11
11
00
10
10
10
00
00
11
10
10
00
10
00
01
10
10
10
00
01
10
00
10
01
10
10
10
00
00
01
00
10
10
10
01
10
10
10
01
00
10
11
00
00
11
00
00
10
11
11
11
00
10
10
10
10
00
00
10
10
00
11
11
01
00
00
10
10
11
00
11
01
11
01
10
10
01
01
11
11
00
00
10
10
11
00
10
11
01
00
10
00
10
01
01
01
00
01
01
10
01
11
10
01
11
10
01
01
11
01
10
11
01
00
10
00
00
11
00
00
00
10
10
10
10
00
10
10
10
11
01
00
01
10
10
00
00
10
10
01
00
01
00
01
00
10
00
00
10
10
10
10
10
11
10
00
10
10
00
00
00
00
10
10
10
10
00
10
00
11
10
11
00
00
01
11
11
11
01
01
00
00
10
00
01
11
11
11
00
00
10
11
11
00
00
11
00
11
01
00
10
00
00
11
00
10
00
00
10
00
10
11
00
00
00
00
10
11
10
10
00
00
11
10
10
00
10
11
00
10
00
11
10
10
10
00
01
10
10
01
00
00
10
10
00
10
10
10
10
01
10
11
10
10
11
11
00
00
00
10
10
00
00
00
00
11
11
01
11
00
10
00
10
01
10
11
00
00
10
01
11
11
10
00
10
01
11
00
00
10
10
01
00
00
01
01
11
10
01
11
00
10
00
00
10
10
00
10
10
10
10
11
00
00
11
00
10
00
11
00
10
01
10
11
10
01
11
10
10
00
10
01
11
11
01
01
11
01
01
10
10
01
00
10
01
01
11
11
00
00
10
00
01
10
01
10
10
00
10
00
10
10
01
10
01
00
10
10
00
00
11
10
00
11
11
01
00
00
10
10
10
01
00
10
10
10
10
01
10
10
01
01
11
00
00
11
00
00
10
10
00
00
11
00
10
10
00
10
00
00
00
00
10
01
00
10
11
00
10
10
11
00
01
00
01
11
10
00
01
01
11
11
11
00
11
10
00
10
11
01
00
01
00
00
00
00
11
10
00
00
11
00
01
00
10
00
10
01
00
11
01
00
00
01
10
01
10
11
10
10
01
10
10
00
00
10
00
01
10
01
10
11
11
10
00
10
10
01
00
00
00
11
11
10
10
11
10
01
00
10
11
10
10
10
00
10
11
00
00
11
10
11
10
00
00
01
11
10
00
00
00
10
01
00
11
11
11
11
00
00
11
00
00
11
00
00
11
10
10
01
00
10
10
01
00
00
10
10
01
10
00
01
11
10
10
11
11
10
00
00
00
00
01
10
01
00
01
10
10
01
10
01
11
00
00
10
10
00
00
11
11
01
01
01
00
01
11
11
01
00
00
11
10
00
10
00
10
11
01
11
00
10
00
00
10
00
11
11
00
00
10
11
00
00
10
00
10
10
11
00
10
10
00
01
11
10
11
01
11
00
00
10
00
10
10
00
01
10
00
00
00
10
00
11
11
00
00
00
10
11
10
00
11
00
00
11
01
11
10
10
01
11
00
00
00
01
10
00
10
11
00
01
01
01
00
11
00
10
01
00
10
10
01
01
10
00
00
01
00
10
10
00
00
10
00
10
00
00
10
00
10
10
01
10
01
10
10
00
00
00
00
01
11
00
00
10
00
11
01
10
01
10
11
00
00
11
11
01
00
10
10
00
00
01
10
10
11
10
00
01
00
11
11
10
00
00
00
10
00
10
10
00
11
00
00
10
10
10
10
11
01
01
11
10
10
01
10
10
01
00
10
11
00
00
01
00
00
01
10
11
10
10
00
10
01
10
11
00
11
00
10
00
11
10
10
10
00
00
01
10
11
00
11
11
00
01
00
00
10
01
01
11
11
10
01
00
10
00
01
10
01
10
00
10
10
11
01
00
10
00
11
11
01
10
00
01
10
11
01
01
00
10
11
10
10
00
00
10
01
00
11
00
01
10
00
01
10
01
00
01
11
10
00
10
01
00
11
00
10
00
10
11
10
00
00
00
00
11
10
00
10
10
01
00
00
10
10
10
00
01
11
01
10
11
00
10
01
00
00
10
11
00
00
10
11
10
00
00
10
00
10
10
01
10
10
10
00
00
10
10
01
01
00
00
10
10
00
11
11
10
11
01
01
01
01
10
11
00
00
00
10
10
10
01
01
00
01
10
00
10
00
01
10
11
01
00
01
11
01
00
00
10
11
10
01
01
10
01
10
01
11
00
00
11
10
00
00
10
01
01
00
00
10
00
10
11
00
10
10
00
10
10
01
00
10
01
00
00
00
10
10
11
11
10
10
01
00
00
11
01
11
01
00
10
10
00
10
00
00
11
01
00
10
10
10
11
01
01
10
10
11
11
10
10
10
00
00
00
00
10
01
11
11
00
00
11
00
00
00
11
10
01
01
00
00
10
10
11
00
00
11
10
00
00
00
01
01
01
11
00
11
00
01
10
00
00
10
10
01
01
11
01
01
10
10
01
10
11
01
11
11
01
01
00
01
10
01
01
01
01
10
00
01
10
10
10
00
10
10
01
11
10
00
00
10
00
01
10
11
10
00
00
10
01
10
10
10
01
01
00
10
10
11
00
10
00
01
10
10
00
01
11
00
11
01
10
01
10
10
00
10
10
10
00
00
10
11
01
00
00
11
10
00
00
00
00
00
10
10
10
00
00
10
00
00
10
11
00
10
10
00
01
11
10
00
10
10
00
01
11
00
11
10
10
10
11
11
10
10
10
10
10
00
00
00
11
10
00
10
00
10
00
00
11
11
01
00
10
01
01
01
11
10
00
00
00
00
00
11
10
00
10
00
10
10
10
10
01
00
01
00
10
10
10
00
01
10
10
10
10
01
10
00
00
00
00
00
10
10
01
00
00
10
00
00
10
00
01
11
01
11
00
00
01
10
10
11
00
10
11
11
10
10
01
11
10
11
00
00
10
01
00
00
11
10
10
01
10
10
10
10
00
10
10
00
11
10
10
11
10
11
01
10
00
00
10
00
00
10
11
11
11
01
00
10
11
00
00
11
11
01
10
11
01
11
00
00
10
10
11
01
00
10
00
00
00
10
10
01
01
11
10
00
00
10
10
10
11
01
01
10
10
00
00
00
11
00
00
10
00
00
10
10
10
00
01
00
00
00
01
00
10
10
01
10
00
01
10
00
01
10
10
10
00
00
10
00
11
11
01
00
00
11
10
00
10
11
01
10
10
10
00
10
10
00
10
10
10
00
10
00
10
10
11
01
00
10
11
10
00
00
01
00
11
00
01
01
01
11
10
00
11
10
00
10
00
01
10
10
10
10
01
11
11
00
11
10
00
10
10
10
00
00
11
01
01
11
10
10
00
00
10
00
01
10
11
10
10
01
10
11
00
01
10
10
10
11
00
11
10
00
10
00
11
01
00
00
00
10
01
00
11
10
00
01
00
10
10
10
01
11
10
11
01
10
01
00
00
00
10
10
00
00
11
10
11
10
00
00
01
00
00
11
10
10
10
10
00
01
10
10
10
11
00
00
10
11
00
01
00
11
00
11
11
01
10
00
11
00
01
10
10
00
00
10
11
10
00
01
10
11
01
10
10
10
10
01
10
11
11
00
01
01
01
10
10
00
00
00
10
10
01
00
00
11
10
00
11
11
01
00
11
10
10
10
00
00
10
11
00
11
00
10
00
01
10
11
00
00
01
00
10
00
10
10
00
00
00
10
11
10
00
00
10
00
00
00
11
10
10
11
00
10
11
11
01
00
01
11
00
10
00
01
10
01
10
11
01
00
00
00
00
10
11
00
10
11
00
00
01
01
10
10
00
11
00
11
11
00
00
00
00
10
11
00
01
10
10
00
10
11
01
00
10
00
00
10
00
10
01
10
11
00
11
00
01
00
11
10
11
10
01
01
10
00
01
01
10
00
01
10
10
10
00
00
11
11
00
00
00
00
01
01
10
10
00
01
10
10
01
10
00
01
01
00
00
10
00
00
00
00
11
00
11
10
00
10
01
01
00
00
10
00
00
10
00
01
00
01
10
10
10
10
00
00
00
11
10
01
11
01
01
11
10
10
01
00
10
11
10
00
00
00
10
10
00
00
11
10
10
10
01
10
00
10
10
01
11
11
00
00
00
00
01
11
00
00
01
10
01
00
11
10
01
00
10
10
11
01
00
11
11
10
11
00
00
01
00
10
01
00
00
10
00
00
10
10
10
11
10
00
00
11
01
00
10
11
11
00
01
10
11
01
10
11
01
00
00
10
10
01
10
10
00
11
00
11
01
01
01
11
00
10
10
10
10
01
00
11
01
01
00
11
10
00
10
11
10
00
00
10
00
00
10
11
01
00
01
00
00
00
10
10
00
01
10
01
10
01
00
01
10
10
11
11
00
01
10
10
00
00
01
01
10
00
10
10
01
00
11
10
00
00
00
01
00
01
10
01
01
00
10
10
11
00
11
11
01
01
10
01
00
00
10
10
10
10
11
00
00
10
10
11
00
01
11
10
01
00
00
00
11
10
10
11
00
00
10
10
01
00
00
10
00
10
10
00
01
01
10
00
10
00
11
11
11
11
00
00
10
01
11
00
00
11
10
00
00
11
10
00
11
10
10
11
01
01
00
10
01
00
00
01
10
11
10
10
00
00
10
10
10
01
00
10
10
01
10
10
00
01
10
11
11
10
10
01
00
01
10
00
10
10
11
10
00
00
10
01
01
10
00
01
00
00
11
10
10
00
00
00
00
01
11
10
10
10
01
10
01
00
00
10
10
10
10
11
00
11
10
00
00
10
01
00
11
10
10
01
10
00
10
00
00
10
00
11
00
00
01
00
00
00
10
10
10
00
01
00
11
10
10
10
10
00
11
10
00
11
10
10
01
01
11
10
00
10
10
00
00
00
10
00
00
10
10
11
01
10
10
00
01
10
01
11
10
00
10
11
01
00
10
01
00
10
01
10
00
10
10
10
00
11
10
10
00
01
00
01
00
01
00
00
00
10
11
00
10
11
10
10
10
01
11
01
10
11
01
10
10
00
00
11
10
00
10
01
11
01
00
10
10
00
11
11
01
01
11
11
10
00
00
00
10
00
00
11
01
01
11
10
11
00
01
10
11
10
00
11
10
11
01
10
11
00
01
10
01
00
10
00
00
10
01
10
11
10
01
00
11
10
00
00
10
00
01
10
10
10
11
01
10
00
00
00
10
10
10
10
01
00
00
00
01
00
10
11
10
10
10
10
01
00
10
01
01
00
00
00
11
00
10
10
00
10
10
00
00
11
10
01
10
10
01
01
10
10
10
00
11
01
10
00
00
11
00
00
00
10
10
01
01
10
00
10
10
01
11
01
01
10
11
00
00
11
10
00
01
10
11
10
01
10
00
00
11
10
00
10
10
10
00
10
10
10
01
10
00
11
01
10
01
10
11
00
10
01
10
11
01
00
10
10
11
00
10
10
11
00
00
10
11
11
00
01
10
10
00
01
00
10
10
10
00
00
00
01
10
01
00
10
10
01
00
10
00
00
00
01
00
00
00
10
00
10
10
11
01
01
11
10
10
00
01
00
00
11
00
00
10
11
10
10
00
11
10
00
00
11
10
01
01
00
00
11
10
01
10
11
01
00
11
10
10
00
01
10
10
00
01
11
11
00
01
11
11
00
00
10
10
00
00
00
10
11
00
01
01
00
01
10
00
11
01
00
11
10
00
10
10
10
10
00
10
10
00
10
11
10
00
10
00
10
10
00
10
10
01
10
00
01
10
01
10
10
00
01
00
01
10
10
10
11
10
00
10
10
10
00
10
00
01
10
00
01
01
00
00
10
00
11
00
11
01
10
10
10
11
00
00
11
10
00
00
11
00
11
10
00
00
11
10
01
01
01
01
11
10
11
11
00
00
11
00
00
10
10
11
00
00
00
10
10
00
10
00
00
01
01
01
10
00
10
11
10
01
00
00
10
10
00
11
10
10
00
11
11
11
01
00
10
00
11
11
11
00
01
00
01
10
11
10
00
01
10
00
10
00
00
11
00
10
00
11
00
10
01
01
00
00
01
00
00
00
11
10
10
10
10
00
10
01
00
00
10
11
11
00
10
00
00
10
11
10
01
11
11
10
10
01
01
00
10
10
01
11
10
01
11
11
00
11
01
11
10
11
11
00
01
10
10
11
10
00
01
10
10
10
01
11
00
10
10
10
00
00
00
00
10
11
01
00
10
11
11
10
01
00
11
01
00
10
10
01
01
01
01
10
00
00
00
00
00
11
10
10
00
10
01
11
01
00
00
10
00
11
00
00
10
11
10
01
10
10
10
10
10
10
10
10
10
00
01
00
00
10
00
00
00
10
00
00
10
10
01
10
00
00
00
10
00
01
11
11
11
10
00
01
10
01
10
00
11
11
01
01
01
11
01
11
10
00
01
10
10
01
10
10
00
10
11
00
11
11
11
10
00
10
01
00
10
00
00
00
10
10
00
01
11
00
11
00
01
10
10
11
10
10
00
01
10
11
00
00
01
10
10
00
00
01
11
01
10
10
00
00
10
10
10
01
10
11
00
00
01
01
01
10
11
00
10
10
00
01
10
10
00
00
10
01
00
01
11
10
01
00
11
11
01
10
11
01
01
11
10
01
11
00
00
10
10
11
11
00
11
10
01
01
10
11
01
00
10
11
00
10
10
01
10
01
10
11
10
00
01
10
01
00
11
11
10
10
00
00
11
00
00
10
10
00
01
00
00
00
01
00
10
10
10
10
10
00
01
01
00
11
00
00
10
00
11
10
11
01
00
11
10
01
01
01
11
10
01
00
01
11
10
11
00
00
10
10
01
01
00
10
11
10
11
10
10
01
10
11
00
01
10
10
00
11
11
00
11
10
10
10
00
00
00
10
10
00
01
00
11
01
00
11
10
11
01
10
10
00
10
10
00
10
00
00
00
00
10
10
01
00
10
00
11
10
01
10
10
01
01
11
10
11
00
00
10
10
10
11
10
00
01
10
10
10
00
00
00
11
11
00
10
10
00
10
00
00
00
10
00
00
10
00
10
10
01
10
00
01
10
00
11
10
00
01
10
10
01
10
11
00
10
10
10
01
00
01
10
10
10
00
10
10
00
01
01
01
10
11
00
01
00
11
00
01
00
10
01
00
11
00
00
10
10
01
00
10
10
11
00
10
00
10
10
01
01
10
11
00
00
01
10
10
10
10
00
01
11
10
11
00
00
01
00
11
10
00
00
00
00
10
11
00
01
11
01
00
00
11
00
11
00
00
10
10
10
00
10
11
10
01
01
11
11
11
01
00
01
11
10
10
00
00
10
00
00
10
10
10
11
01
00
00
01
11
00
10
10
00
01
01
10
10
01
10
10
01
00
10
10
11
01
10
01
00
10
00
00
10
00
10
00
00
10
00
00
11
10
00
10
10
10
10
10
10
01
00
01
00
01
00
11
00
11
00
00
00
11
00
00
11
10
01
10
01
11
11
00
00
00
10
00
01
00
00
10
11
10
10
00
10
11
01
00
10
10
00
01
10
11
10
00
00
00
00
00
01
10
00
10
00
00
00
00
10
00
00
10
11
11
11
00
00
11
01
00
11
00
10
01
11
10
00
10
01
10
10
11
10
10
11
11
00
00
10
00
01
10
10
11
11
10
10
10
10
10
00
00
00
00
10
00
00
01
10
01
01
00
01
10
11
00
10
01
00
10
10
11
11
10
00
00
10
11
00
10
00
10
11
00
10
01
10
00
00
10
10
00
01
10
01
11
10
10
10
00
11
00
00
10
11
10
00
01
10
11
01
01
11
01
01
00
10
10
00
00
11
11
00
10
11
01
00
01
10
10
00
00
01
11
11
00
11
11
00
00
01
10
11
00
01
00
00
00
00
11
00
01
11
00
00
01
00
10
01
00
11
01
00
10
11
00
00
10
10
00
00
10
10
11
10
00
00
00
11
11
11
10
10
00
10
00
10
00
00
11
00
00
00
10
10
10
00
00
00
00
00
10
01
01
11
10
00
00
10
10
01
00
10
01
01
10
01
11
11
00
00
10
00
00
10
10
11
00
00
11
01
00
00
11
00
11
10
11
01
00
00
00
11
11
01
00
11
10
10
10
00
10
10
11
01
00
10
01
10
01
00
10
10
00
10
01
01
11
11
10
10
10
10
00
00
10
10
10
00
00
00
01
00
10
11
11
10
10
11
00
11
10
11
10
00
00
10
00
00
10
10
00
10
10
01
01
10
00
00
00
10
00
01
01
11
00
11
11
01
00
11
11
01
01
00
10
00
01
11
10
00
00
10
11
01
00
10
10
10
10
11
10
01
01
11
11
10
00
10
10
00
00
11
10
00
00
11
10
01
10
10
11
10
10
11
01
01
10
00
10
11
11
11
00
00
11
00
00
10
10
00
00
00
00
00
10
01
01
01
10
00
10
00
01
00
10
10
10
10
00
11
10
01
01
11
10
10
00
01
10
10
00
00
00
10
00
10
00
00
00
00
00
10
10
11
00
10
10
10
00
10
11
11
00
11
10
00
00
10
10
11
10
00
11
11
00
10
01
00
11
01
00
10
01
00
10
00
01
11
11
00
00
01
11
01
01
10
11
00
10
11
01
01
01
01
10
01
11
01
00
11
10
00
10
11
01
11
11
01
00
00
00
00
10
10
00
10
10
10
11
00
00
10
00
10
00
10
10
10
11
00
11
00
10
10
00
00
10
00
11
10
10
00
11
11
10
00
11
11
00
10
10
10
00
00
11
00
01
11
11
00
01
11
00
01
10
11
11
00
00
00
10
10
11
01
00
10
10
00
01
01
10
00
10
00
01
11
00
11
10
11
00
00
10
11
11
11
01
00
10
00
00
10
11
00
01
00
00
00
10
10
10
00
00
11
00
00
01
10
01
11
11
00
00
10
10
11
11
00
01
10
01
01
10
11
10
01
10
00
00
10
01
00
10
00
10
01
10
01
00
10
00
10
01
00
10
11
00
11
10
11
00
10
11
10
10
01
01
10
10
01
00
10
10
00
00
01
10
10
10
01
10
11
10
11
00
00
10
10
10
10
01
00
00
11
10
00
00
10
10
00
00
10
10
11
01
00
01
11
00
00
00
00
10
01
00
00
10
10
01
10
10
10
10
01
10
10
00
11
01
10
10
00
10
01
00
11
10
11
10
10
11
10
00
00
11
10
00
11
00
10
10
00
00
11
01
11
11
01
01
10
01
10
01
01
00
11
11
00
00
11
11
00
11
10
01
01
01
10
10
11
00
00
11
10
01
01
11
11
11
11
10
11
11
10
00
00
10
10
01
00
01
10
00
01
10
11
00
00
10
11
01
01
00
10
00
10
00
10
01
00
11
10
10
00
10
10
00
10
10
00
00
10
10
01
00
00
10
10
10
01
11
00
01
10
10
00
01
10
10
10
01
00
01
10
10
01
01
00
01
10
10
00
01
10
10
10
10
00
10
11
00
01
11
01
01
10
11
00
00
10
10
00
01
11
11
10
10
00
00
11
01
00
00
10
10
11
10
01
01
10
10
10
00
10
10
00
00
11
10
10
11
00
11
10
01
00
11
00
10
10
01
10
00
01
10
00
00
11
10
11
01
00
01
10
01
10
10
10
00
01
01
00
00
10
10
00
10
11
00
10
10
00
00
10
10
00
00
00
11
01
01
01
01
11
10
00
00
01
10
10
00
01
01
00
11
00
10
01
10
11
00
00
11
10
10
00
01
00
11
11
00
01
10
11
00
01
10
00
01
01
10
10
00
10
10
00
11
00
00
00
00
10
00
00
10
11
01
01
00
00
11
00
10
11
10
00
11
00
00
00
10
00
00
10
10
00
10
01
10
10
10
00
11
10
10
10
00
10
00
11
10
10
00
00
01
10
10
10
10
11
00
00
00
11
11
00
01
01
00
11
11
11
00
10
10
10
10
00
00
10
10
01
01
00
11
10
00
01
10
11
00
10
10
01
10
01
00
11
00
10
10
00
00
10
00
01
00
10
00
11
11
11
10
10
01
10
00
11
00
00
00
00
10
10
10
01
11
00
10
01
00
00
10
11
10
01
00
11
01
00
10
10
11
01
00
00
00
10
11
10
11
00
00
10
10
01
01
01
10
00
00
10
00
11
10
00
01
00
10
00
00
11
01
01
10
01
11
00
01
00
01
00
10
10
10
00
00
00
11
11
00
10
01
00
00
10
00
10
10
00
00
11
10
01
10
11
10
10
11
01
01
00
11
11
00
00
10
01
01
11
10
01
10
00
00
10
10
00
00
10
01
10
10
00
10
00
10
10
00
11
01
10
11
11
00
00
00
11
11
01
11
00
10
10
01
01
10
00
01
10
10
00
10
11
00
00
11
01
10
10
10
00
10
01
00
10
10
01
00
10
10
01
10
00
10
00
01
10
10
10
00
00
00
10
00
10
00
01
10
10
00
10
10
10
10
00
00
01
00
00
01
00
00
10
01
00
10
10
01
11
00
11
10
11
10
10
00
10
10
00
10
01
00
00
01
10
11
11
10
00
10
00
10
10
10
11
00
11
00
10
00
00
00
10
10
00
11
00
00
11
00
01
10
00
11
00
01
10
00
00
00
10
00
10
10
10
11
10
00
00
01
10
11
00
01
00
11
00
00
01
11
11
01
10
10
00
00
01
01
10
11
00
10
10
10
10
00
10
00
00
10
10
11
01
11
00
01
11
10
01
01
11
00
10
10
11
11
01
10
00
01
10
00
11
10
10
00
11
10
10
01
11
10
01
00
00
10
00
10
11
10
00
10
10
00
11
11
00
10
01
01
10
00
01
10
11
00
10
10
11
10
01
00
10
10
01
00
11
00
00
01
11
01
11
11
11
01
00
01
00
10
10
10
00
00
10
11
11
11
10
00
00
10
01
00
01
11
01
00
00
00
00
00
10
11
01
10
00
01
01
00
01
00
11
11
00
11
00
01
11
10
00
01
00
00
10
10
11
10
00
11
01
01
10
01
00
01
00
00
10
00
00
10
00
10
10
01
10
11
10
10
00
10
10
10
00
10
10
11
00
00
00
10
01
00
10
10
01
00
00
01
11
00
01
00
11
10
11
00
00
11
10
10
00
01
10
00
01
10
00
01
11
10
00
10
11
11
10
00
00
00
00
10
00
11
00
00
10
10
11
11
10
10
11
01
10
00
00
00
00
10
11
11
10
00
00
00
10
10
00
10
10
00
00
11
10
00
11
10
10
00
10
00
01
10
11
10
10
00
01
10
10
10
00
01
00
00
11
01
00
10
10
10
00
00
11
00
00
10
01
10
00
10
00
01
10
10
11
11
10
00
11
00
11
11
00
11
10
01
00
11
00
10
10
11
00
00
11
10
01
10
11
00
00
11
10
10
01
00
10
10
10
11
10
00
01
10
11
00
01
00
00
10
11
11
00
01
11
10
00
01
10
11
00
00
10
11
01
00
10
10
00
00
00
00
00
00
00
10
11
10
10
01
10
00
01
00
10
00
00
11
00
00
10
10
00
01
10
10
01
00
10
10
10
00
01
11
01
01
00
11
11
10
01
10
11
01
01
00
00
10
10
10
01
10
11
00
00
11
00
00
00
00
10
10
00
00
01
10
11
10
00
10
11
10
00
00
10
00
00
10
00
00
10
00
10
00
10
10
10
01
00
11
00
00
10
11
00
11
00
11
00
10
11
00
00
10
00
00
11
10
01
10
10
01
10
10
00
00
10
10
11
01
10
10
01
10
10
11
00
11
10
11
10
01
00
00
11
10
11
00
01
11
11
10
01
01
10
11
00
00
00
10
11
10
01
00
00
00
10
00
00
10
10
10
00
10
10
01
01
00
10
01
10
11
01
11
10
11
00
10
10
00
00
10
01
00
01
10
10
00
00
11
10
00
10
00
00
00
10
00
10
00
10
10
11
00
00
10
11
11
10
11
00
01
00
11
10
00
01
11
11
00
00
10
11
11
00
10
10
00
11
10
11
00
01
10
00
01
01
00
01
10
10
00
10
11
11
10
11
10
00
01
00
11
00
11
10
10
00
10
10
10
00
10
10
00
11
00
11
11
00
10
10
00
10
10
00
00
00
10
00
00
10
00
00
11
00
00
10
10
10
10
00
10
00
00
10
11
01
10
01
10
11
10
10
10
00
10
10
10
10
10
01
10
11
00
10
10
00
00
10
00
01
11
10
10
01
00
10
00
00
00
11
11
11
11
00
00
11
10
11
00
01
10
00
10
10
10
00
10
00
00
10
00
11
10
10
10
00
01
00
10
10
01
00
10
01
01
11
11
11
10
11
10
00
00
11
01
11
10
01
10
00
10
10
00
01
10
10
11
10
10
10
01
01
10
10
01
01
10
10
11
00
11
10
10
00
00
11
10
11
10
01
01
00
00
10
10
00
10
00
01
01
10
00
10
01
00
01
11
10
10
01
00
10
10
00
00
11
10
00
10
10
10
10
10
01
01
00
10
10
00
11
00
11
10
01
00
10
11
10
10
10
00
11
01
10
11
01
00
00
00
01
01
10
10
11
10
00
10
11
00
00
11
00
00
10
00
10
01
10
00
00
01
10
11
00
01
10
10
00
00
10
11
11
10
10
10
00
11
00
01
00
01
10
00
00
10
11
00
00
10
01
01
11
00
11
00
10
10
10
01
01
10
10
01
10
01
10
01
00
11
00
10
11
01
00
10
00
00
00
11
10
10
00
01
10
11
11
00
01
01
10
01
10
00
10
11
00
11
00
01
01
00
10
11
00
10
11
01
01
00
00
00
11
00
11
10
01
10
11
00
00
01
00
10
10
00
00
10
11
00
00
11
10
11
00
01
10
00
11
00
00
11
00
11
10
00
10
10
10
11
00
00
11
00
00
10
00
00
10
11
10
00
00
11
00
11
11
01
00
00
01
11
11
11
01
01
11
11
01
10
10
10
01
00
10
10
01
10
10
10
00
10
10
11
11
11
00
10
10
11
11
01
00
10
10
00
00
01
11
10
10
10
10
00
10
00
01
01
00
11
11
00
10
00
10
00
00
11
10
00
10
00
10
00
11
10
01
10
10
10
00
00
10
10
00
00
11
00
01
01
01
10
01
00
00
01
00
00
10
11
00
11
11
10
00
11
10
10
11
01
00
10
10
00
11
10
11
01
10
10
00
10
10
01
01
10
01
01
11
10
00
11
00
10
10
00
10
01
00
01
01
00
10
10
10
10
11
01
00
11
00
11
10
11
01
00
00
10
00
10
00
00
11
00
10
10
00
00
00
10
00
00
00
10
00
00
10
11
00
11
10
00
10
10
00
10
10
00
10
10
11
10
01
00
01
00
01
11
11
11
01
11
00
00
10
00
01
11
11
00
10
01
11
00
10
00
00
10
10
10
10
00
10
10
01
10
10
01
00
11
11
00
10
11
00
00
10
01
00
00
10
10
10
11
00
00
00
00
01
00
00
11
10
01
01
01
01
10
01
00
00
10
10
11
11
01
00
11
00
00
00
01
00
11
00
00
10
10
10
10
11
00
00
11
00
10
00
00
10
00
00
10
10
00
00
11
10
00
11
00
01
01
11
10
10
11
10
11
00
01
10
10
10
10
00
10
00
01
10
10
00
10
01
00
10
00
01
11
10
00
10
10
10
00
00
10
00
00
10
01
11
00
00
10
11
10
10
00
01
11
11
10
00
00
10
10
01
01
11
11
01
10
00
00
01
00
00
10
11
11
01
11
11
00
10
00
01
00
11
10
00
00
00
11
10
01
00
11
01
00
01
10
01
00
10
10
00
10
10
11
00
00
10
01
00
01
10
10
00
10
00
01
10
11
00
11
00
10
00
01
10
11
10
01
00
00
10
10
00
01
01
00
11
00
00
00
11
00
00
10
11
10
10
00
00
10
10
10
01
10
10
01
00
00
00
11
10
11
00
10
11
10
10
10
00
01
01
00
00
00
10
00
11
10
01
01
00
10
00
10
11
11
00
10
10
00
10
00
00
11
10
01
11
00
00
01
00
11
10
01
10
11
00
00
10
10
10
00
01
10
10
01
00
00
11
01
11
01
10
10
10
11
00
01
10
00
01
10
01
00
00
10
10
10
00
11
11
01
00
10
10
01
00
00
01
00
10
00
10
01
11
10
10
10
00
11
01
10
11
11
00
10
01
00
11
10
00
00
00
00
10
00
10
10
10
01
00
00
10
11
11
01
11
01
10
10
00
00
11
00
00
10
10
00
10
01
00
11
00
00
10
01
10
11
01
00
11
01
10
01
01
10
00
01
10
01
10
11
00
00
01
01
10
10
00
01
00
11
11
11
00
00
00
00
00
00
11
10
10
00
10
01
01
01
01
10
10
00
01
10
10
10
01
00
10
11
10
10
10
01
01
10
01
10
00
01
00
10
10
00
00
00
10
11
00
00
11
01
00
11
10
10
00
01
00
10
10
00
10
00
00
10
11
00
10
10
11
10
00
11
11
01
00
01
00
11
11
00
00
10
00
00
10
00
10
01
10
10
10
10
10
10
00
00
00
10
11
11
00
10
00
11
11
11
01
11
10
10
01
10
00
10
10
10
11
00
11
00
10
10
01
10
00
01
11
11
11
10
01
01
00
01
10
10
10
00
00
10
00
00
10
01
00
01
00
11
11
00
10
10
01
00
10
10
00
00
00
10
11
10
01
01
00
01
10
11
00
01
10
10
00
00
10
10
00
00
11
10
00
00
00
11
01
10
00
01
10
00
00
00
10
00
00
10
01
10
10
10
00
11
00
00
00
11
10
10
10
10
00
00
10
10
11
01
00
10
10
00
10
11
01
10
00
01
10
01
10
00
00
11
00
00
11
10
00
10
11
00
10
00
10
00
01
10
01
10
10
10
01
00
01
00
10
11
11
10
00
00
11
10
00
00
10
10
10
00
11
01
10
11
10
01
01
10
00
01
00
00
00
10
10
01
01
00
01
01
00
10
01
10
10
10
01
11
10
01
00
10
11
01
10
10
00
01
10
00
00
10
00
11
00
11
00
11
10
00
11
10
11
00
00
10
00
00
10
11
01
00
00
00
01
10
10
00
00
10
00
01
11
11
10
00
00
01
00
10
11
00
10
10
00
11
00
01
00
00
00
10
10
11
01
10
00
01
10
01
01
00
01
10
10
10
00
01
01
01
10
01
00
00
01
10
10
00
00
11
10
11
00
00
10
00
00
00
01
10
00
01
10
11
11
10
00
01
10
10
01
00
10
10
01
00
11
10
00
00
10
00
11
11
11
01
10
10
00
00
10
01
10
00
00
00
10
01
00
00
11
10
10
10
00
01
11
01
10
10
01
10
10
10
00
00
10
00
10
00
00
10
10
11
01
01
01
10
10
10
10
00
00
10
11
01
00
11
01
10
10
00
00
10
00
00
00
10
11
10
10
10
10
00
11
10
10
10
01
00
01
10
11
00
01
00
00
11
10
00
01
00
00
10
10
00
10
11
00
00
00
00
10
10
10
00
01
00
10
00
01
01
00
11
10
01
00
10
10
10
01
01
11
01
00
10
11
11
00
00
11
10
00
10
10
00
11
00
01
10
10
10
11
11
11
00
10
11
11
10
00
01
10
01
00
10
11
00
10
10
10
01
11
00
01
00
01
11
00
00
10
01
01
11
01
10
11
11
11
00
11
11
01
10
10
00
00
10
10
00
01
11
10
10
11
10
00
11
00
01
00
10
10
00
01
10
01
00
01
11
10
11
00
01
00
10
10
01
00
10
10
00
10
10
00
10
00
00
00
10
00
10
01
01
00
00
00
10
10
10
00
10
10
10
10
00
00
11
00
00
01
00
11
11
01
10
01
01
10
10
01
10
11
10
01
01
01
10
11
11
00
00
00
10
00
10
11
11
10
00
10
00
10
00
01
11
01
00
00
00
00
00
11
10
10
00
10
00
01
10
10
11
00
10
00
11
11
00
01
00
10
11
10
01
00
10
11
10
00
00
10
10
00
00
00
00
10
01
10
01
10
11
11
00
00
11
10
01
01
01
10
01
01
10
00
00
00
11
00
00
00
10
11
00
10
11
11
01
10
10
01
00
11
10
01
00
11
10
11
01
00
00
00
01
10
10
01
00
10
10
00
10
10
01
10
11
00
01
10
10
11
00
00
10
11
11
10
11
00
11
01
00
01
10
10
10
01
01
10
01
01
11
11
11
00
10
10
00
10
00
00
10
00
01
00
00
10
01
11
00
00
11
11
01
11
10
00
01
00
10
10
00
00
00
00
10
01
00
00
11
11
10
00
00
10
10
10
10
10
10
00
00
10
10
00
11
00
10
10
11
00
10
11
01
00
01
10
00
00
00
10
10
00
10
10
10
00
11
10
10
11
10
11
11
10
11
00
10
10
01
00
00
10
11
00
00
00
10
00
00
11
00
11
00
11
00
10
00
10
11
10
00
01
11
10
01
11
10
01
10
00
00
00
10
10
00
01
00
10
10
01
11
10
00
01
00
00
11
00
01
11
10
00
00
01
11
10
10
01
00
10
00
11
11
10
11
00
10
10
10
00
10
00
00
00
00
01
00
00
10
01
10
10
11
01
00
10
00
01
10
00
11
01
10
11
01
10
00
00
01
10
00
00
00
01
01
00
10
10
00
01
10
00
10
10
10
11
00
11
10
10
10
11
00
00
01
00
00
10
10
11
10
00
10
10
00
11
10
01
00
10
10
10
10
11
10
00
10
01
11
10
11
00
01
10
00
10
10
00
01
10
01
00
11
00
00
11
00
10
10
00
00
10
01
11
11
01
00
11
11
00
00
01
01
11
10
00
00
01
10
00
10
10
01
10
10
00
01
10
00
10
10
00
11
00
00
10
10
10
01
10
10
10
10
01
01
10
01
10
01
11
00
00
00
10
10
11
10
10
01
11
01
11
10
01
00
10
00
00
10
10
00
00
00
00
10
10
00
01
11
11
00
10
01
10
11
00
01
10
10
00
10
00
10
00
01
00
11
00
00
11
11
00
01
10
11
11
01
11
00
01
11
00
00
11
00
00
10
01
11
10
01
11
00
10
01
10
11
00
01
00
10
10
11
00
10
10
01
10
00
10
10
10
00
00
00
00
01
00
00
10
10
00
01
10
10
10
10
00
10
11
00
00
00
00
11
01
00
01
10
01
10
01
11
00
10
10
00
00
10
00
00
11
10
01
10
10
11
11
00
00
00
10
10
00
10
10
10
00
11
00
10
11
00
10
10
10
10
00
10
01
10
11
11
01
10
10
10
01
00
01
10
11
00
00
10
11
11
00
00
01
01
10
00
10
11
11
00
00
11
00
00
10
10
10
01
10
01
01
00
10
01
00
00
00
11
00
00
10
00
01
10
10
00
10
00
10
10
01
11
10
01
10
00
00
10
11
10
11
00
11
10
10
00
10
10
00
00
10
10
00
00
00
00
10
00
00
11
01
11
01
11
00
11
00
10
00
01
01
00
11
10
01
11
00
00
00
10
11
10
11
10
10
10
01
01
10
10
00
00
10
01
11
11
10
01
01
11
00
00
10
10
00
01
00
10
10
11
00
00
10
10
10
00
01
01
00
01
00
10
10
10
00
01
10
10
00
00
10
10
11
01
11
11
11
11
11
01
00
01
11
10
00
00
00
10
10
00
10
00
00
00
10
01
01
10
01
01
00
01
10
00
11
10
01
10
00
00
01
00
11
11
01
00
00
10
10
00
10
10
00
01
01
10
11
00
10
00
10
00
00
10
10
00
01
00
00
11
00
00
11
11
10
10
10
01
00
10
10
00
11
11
01
00
11
11
00
11
10
10
00
00
10
00
10
11
10
10
11
01
00
01
00
11
00
01
10
10
11
00
11
10
01
10
00
01
10
01
00
11
11
10
00
00
00
11
01
00
10
11
10
10
00
10
10
11
00
00
00
11
11
10
11
00
01
11
01
00
11
10
01
10
11
00
00
10
11
10
00
10
10
00
01
00
00
00
00
10
00
10
10
00
00
01
10
11
01
11
10
10
00
00
10
10
01
00
01
10
11
01
00
10
11
11
00
11
10
10
01
10
01
00
10
10
00
01
00
00
10
01
10
01
10
10
00
01
00
10
00
00
10
10
01
01
11
00
10
00
10
10
00
11
00
01
10
10
10
00
10
11
00
00
00
10
10
10
01
00
11
10
11
00
00
10
10
10
00
10
00
11
10
00
11
11
01
11
11
00
01
00
00
00
10
10
00
00
11
10
11
00
00
10
00
01
00
10
10
00
01
00
10
00
11
00
10
10
00
10
10
00
01
10
11
00
10
10
01
10
10
01
10
11
01
00
00
11
01
10
00
00
00
10
10
01
00
01
00
00
00
10
10
11
00
00
00
11
00
00
11
11
01
00
01
00
11
10
00
00
10
11
11
10
01
10
10
00
10
00
11
00
01
01
10
11
00
11
10
00
00
00
10
10
10
00
10
01
00
10
00
10
11
10
10
10
00
01
00
00
00
10
10
00
11
10
00
10
00
00
10
11
00
11
10
00
00
10
10
11
01
01
11
00
10
01
10
01
01
11
00
01
10
00
10
10
11
01
11
11
01
01
11
10
00
00
00
11
00
01
10
00
10
00
11
10
10
00
01
11
10
00
00
00
10
00
00
11
10
01
10
00
01
10
01
01
10
00
00
01
10
11
10
00
10
11
01
00
11
11
11
00
01
11
10
10
00
00
01
00
10
10
00
10
11
10
10
01
00
01
10
00
10
11
01
01
01
10
10
00
01
10
11
11
01
01
01
00
10
10
00
11
11
00
10
11
00
11
00
11
00
10
10
11
11
00
10
00
00
00
10
10
00
01
10
10
00
10
01
00
10
10
10
01
11
00
00
10
10
00
00
00
01
01
10
11
00
10
10
01
00
00
00
10
00
00
11
01
11
00
00
10
01
00
11
10
00
00
01
00
11
10
01
10
00
00
10
10
00
11
10
11
00
01
00
01
00
10
10
00
00
00
10
10
00
11
10
10
10
00
10
00
01
10
11
00
00
10
01
00
10
10
00
00
00
01
01
10
00
10
00
00
10
11
10
01
00
00
00
01
10
00
10
10
10
10
10
00
10
11
00
00
00
11
10
00
10
00
11
11
00
00
10
00
10
01
00
10
00
01
01
10
01
11
10
00
01
00
11
10
01
11
01
00
10
11
00
10
11
01
01
10
11
11
00
10
00
10
10
00
00
00
11
10
10
00
01
10
10
00
11
00
10
11
00
01
10
10
00
01
11
00
00
10
10
01
01
00
10
10
10
00
11
10
00
00
10
11
10
00
01
11
01
11
00
01
10
11
00
00
10
10
00
10
00
11
00
01
10
00
11
10
00
00
10
11
00
10
11
10
01
10
01
11
10
00
11
00
10
10
10
01
10
10
01
11
10
00
00
01
00
11
00
11
00
10
10
00
10
10
10
10
10
00
00
10
00
00
10
10
11
10
10
00
00
10
00
00
11
10
01
11
00
01
00
00
01
00
10
10
00
00
10
11
10
10
10
00
00
11
10
10
10
10
11
11
01
00
01
10
00
00
10
10
10
01
00
01
01
10
01
00
10
10
01
00
11
10
00
00
00
11
11
01
00
11
00
01
00
11
10
00
10
10
10
00
10
01
10
11
11
10
11
10
11
11
10
10
01
10
00
00
11
00
00
11
10
10
00
11
11
10
01
01
10
10
01
10
00
10
10
00
10
10
00
00
10
10
10
00
01
01
00
10
01
11
11
10
00
01
01
00
00
10
10
00
11
10
01
10
10
10
01
00
01
10
10
10
11
00
00
00
10
01
01
11
01
10
00
01
01
00
10
11
00
10
11
01
10
00
00
10
00
01
00
10
00
01
11
10
00
00
01
01
00
11
11
11
00
01
00
10
10
00
01
10
10
01
01
11
10
01
00
00
10
00
10
11
00
00
01
11
11
11
11
00
01
00
00
10
10
00
01
11
11
11
00
11
00
00
01
11
10
10
00
11
10
00
10
10
00
10
01
00
00
01
00
00
01
00
10
10
01
11
00
10
10
00
10
10
10
10
11
10
10
00
10
10
10
00
00
10
11
00
10
00
00
10
00
10
11
10
10
01
00
00
01
11
00
00
11
11
11
11
00
00
01
10
10
11
01
00
10
11
01
00
00
10
01
00
11
10
11
00
01
01
10
00
01
00
01
01
11
11
00
10
00
10
00
00
10
00
00
10
10
00
00
10
00
10
11
11
10
01
00
00
10
10
00
10
10
00
10
10
11
00
00
01
00
10
10
00
00
01
11
10
00
01
10
10
00
01
11
00
10
10
00
00
10
10
00
00
10
00
10
10
00
10
00
01
00
10
01
10
01
00
10
00
10
11
10
00
11
11
00
11
10
01
01
10
00
01
10
10
11
00
10
10
11
10
01
01
10
00
00
10
00
01
00
10
11
00
10
01
11
00
00
11
10
11
00
00
01
00
10
00
00
10
10
00
00
10
10
00
10
01
00
11
00
10
00
00
00
10
00
01
10
11
10
10
10
00
10
10
11
00
00
00
00
00
10
10
01
01
10
11
00
10
00
00
11
00
01
11
11
00
00
11
01
01
00
10
11
01
00
01
10
11
10
10
00
00
00
00
00
11
11
00
01
11
10
10
01
00
00
00
11
10
00
11
10
01
00
10
01
00
10
10
00
00
00
10
10
11
11
10
10
00
00
11
10
01
00
10
00
10
01
00
10
10
01
00
11
10
00
01
10
10
10
11
00
00
10
00
00
10
01
11
10
00
00
00
10
11
00
10
10
10
10
11
00
00
00
01
00
00
10
00
10
10
10
00
00
01
11
01
10
11
01
11
10
10
00
11
10
00
11
10
01
01
10
01
10
00
01
01
10
01
00
10
01
00
01
00
11
10
10
00
01
01
10
11
00
00
10
00
00
10
01
00
10
00
10
11
11
10
10
10
11
10
11
10
00
00
00
11
10
00
00
01
10
00
01
01
10
10
00
11
10
00
01
01
11
10
01
11
00
10
11
00
00
10
01
10
10
00
00
10
00
00
11
10
00
10
10
01
01
00
01
10
01
00
00
11
00
00
11
10
00
01
00
11
01
01
10
01
11
00
00
11
10
01
11
11
01
00
01
11
00
00
10
11
00
01
11
00
00
10
00
00
10
10
01
00
11
00
10
11
00
10
01
10
00
01
11
10
00
10
10
10
01
00
10
00
01
00
00
10
10
10
00
10
00
01
10
10
01
01
10
01
01
10
00
11
10
00
00
10
10
00
00
00
00
00
00
10
10
11
11
10
11
00
10
11
00
00
10
00
10
11
01
11
00
01
00
10
00
00
01
00
11
10
11
10
10
00
11
11
00
00
10
11
00
01
10
01
10
00
10
10
00
00
00
00
10
10
01
01
10
10
00
01
00
10
10
10
00
00
11
00
10
10
00
00
11
01
00
00
10
01
00
10
00
10
01
00
00
10
00
10
00
00
11
11
10
10
01
10
01
10
00
01
11
00
10
00
10
10
01
10
01
10
11
01
11
10
00
10
00
11
11
01
00
10
10
01
10
10
00
00
10
11
00
11
10
00
00
11
10
11
00
10
10
00
01
01
10
01
10
10
01
01
11
11
00
01
00
01
10
10
10
00
00
10
00
00
00
11
10
00
01
01
11
00
10
10
10
00
01
00
10
00
11
10
01
00
00
11
00
10
01
01
11
00
10
10
11
00
00
01
10
10
00
10
10
10
10
10
11
01
01
00
01
10
10
00
00
10
11
11
01
00
10
00
00
10
01
10
11
10
01
10
00
00
00
10
11
01
00
10
10
10
11
10
11
00
00
00
01
10
00
00
11
00
00
10
00
11
00
10
10
11
00
11
11
00
00
10
10
00
00
10
00
11
10
10
00
11
10
11
01
11
00
00
00
11
10
00
10
10
00
01
10
00
10
10
00
00
00
01
00
10
00
01
00
01
10
10
10
00
10
10
10
01
00
11
11
01
00
00
01
01
01
11
11
00
11
10
01
11
01
10
10
11
11
01
01
10
00
00
01
10
10
01
00
00
10
11
10
01
01
01
01
10
00
10
10
01
00
10
10
10
01
00
10
00
11
10
01
10
10
11
11
10
10
00
00
01
00
10
10
01
00
01
00
10
10
11
00
00
00
10
11
01
01
01
10
10
00
10
11
00
00
10
11
10
10
01
01
00
10
00
00
10
10
10
11
00
00
10
10
10
00
10
00
01
10
01
10
10
10
10
11
00
10
10
00
01
00
01
00
00
01
11
10
00
10
11
10
00
00
00
11
01
11
11
01
10
11
00
00
10
10
00
00
10
11
11
10
01
11
11
10
10
11
10
10
10
00
00
10
10
11
11
01
10
10
00
00
01
10
10
00
00
10
10
11
10
10
01
11
00
10
11
00
11
10
00
01
11
00
10
10
00
00
11
11
10
00
01
10
00
00
00
00
01
10
11
10
10
10
10
10
00
11
11
10
10
10
10
00
10
10
00
10
11
00
00
01
11
11
01
01
11
00
10
10
00
01
10
11
00
00
11
00
10
00
10
10
10
01
00
10
01
00
10
10
10
00
10
00
00
10
10
10
01
10
00
11
10
00
10
00
01
11
11
10
01
11
00
00
00
10
10
01
00
00
11
10
11
11
10
00
11
01
10
00
01
10
10
11
01
10
10
10
10
00
11
00
01
11
11
01
11
10
01
00
10
11
00
10
10
00
10
10
11
00
00
00
10
10
11
11
00
11
00
00
00
10
00
10
11
10
00
10
00
00
10
11
10
10
00
11
00
10
10
00
11
10
00
00
11
01
00
10
10
01
10
01
01
00
01
10
00
10
10
10
00
01
10
01
00
00
10
10
00
10
10
00
11
11
11
11
11
01
00
01
11
10
01
10
11
01
11
10
10
10
01
00
11
00
10
10
00
11
00
00
10
00
01
10
01
01
00
00
10
10
10
10
01
10
10
00
10
10
00
00
00
00
00
00
10
11
10
11
00
10
11
10
00
10
10
00
01
11
10
11
10
10
01
00
11
11
00
00
10
01
00
00
11
10
01
10
00
01
10
10
00
11
10
10
10
00
00
00
11
11
01
00
01
00
00
10
10
00
00
01
10
10
01
10
10
00
01
00
00
10
01
00
10
10
11
10
00
10
00
10
11
00
11
10
01
00
01
00
10
11
01
00
10
10
10
10
01
10
10
11
00
10
00
00
11
10
10
00
00
01
10
10
01
11
00
00
10
10
10
00
01
10
10
01
10
10
10
00
00
10
00
10
10
01
00
10
01
11
00
10
00
01
01
10
00
10
10
00
01
10
00
11
10
01
10
00
01
10
10
11
10
00
01
10
11
00
01
00
10
01
00
10
10
11
00
00
11
10
10
11
11
00
00
10
01
01
00
00
11
10
10
10
10
00
00
01
00
11
11
00
01
10
00
00
11
10
10
10
10
10
11
10
01
00
00
00
00
01
11
10
01
11
00
10
10
01
10
00
01
11
00
01
00
11
00
11
11
10
00
10
11
00
01
01
11
10
11
00
10
11
10
01
00
01
01
11
01
10
11
00
01
11
10
11
00
10
11
00
00
10
10
01
11
00
01
10
10
11
01
00
00
01
10
00
01
10
01
10
01
01
10
00
10
10
00
00
10
10
01
11
00
00
10
11
11
10
00
00
00
10
11
00
11
11
00
00
11
00
10
11
00
10
01
10
00
00
10
10
10
01
01
10
10
01
11
00
11
00
01
10
00
01
10
11
00
10
10
00
11
01
00
11
00
11
10
01
01
11
01
01
10
10
00
01
10
10
01
00
01
00
00
00
10
10
00
10
10
00
10
10
00
00
11
10
11
00
10
10
10
00
10
11
01
11
00
10
10
00
10
10
10
00
10
10
00
00
00
00
11
11
00
00
01
10
01
11
11
00
00
00
01
00
10
01
00
00
00
11
10
00
10
10
01
10
00
00
00
10
10
10
10
10
10
01
10
00
10
01
10
00
01
00
01
11
00
10
10
00
00
10
10
10
00
10
00
10
01
10
10
11
11
01
01
11
11
10
10
10
00
00
10
10
00
00
10
10
10
11
10
00
00
11
00
01
10
01
10
00
11
10
00
01
10
00
01
10
00
10
11
01
10
00
00
10
11
00
11
10
01
10
10
00
00
00
10
00
10
00
01
00
10
11
11
00
11
10
00
00
00
10
11
00
11
11
00
10
00
00
10
01
01
10
11
11
10
10
00
10
10
00
10
11
00
00
10
00
00
11
10
10
10
01
00
00
00
10
00
11
00
11
11
01
01
01
00
10
00
01
10
10
01
00
00
10
01
10
10
00
01
10
11
00
00
10
00
01
11
11
10
11
00
11
11
00
00
10
10
00
00
10
00
11
10
10
10
10
10
00
10
11
01
01
00
10
00
10
10
01
10
01
11
10
10
10
00
10
10
01
11
00
00
10
10
00
11
10
10
00
01
01
11
00
00
10
01
00
00
10
10
10
10
00
11
01
01
10
00
10
10
01
00
00
11
00
10
10
11
00
00
00
10
11
10
11
00
11
00
01
10
01
00
00
10
10
10
00
00
10
01
00
10
00
11
10
00
00
10
10
01
00
00
11
11
00
11
10
11
00
01
10
00
01
10
11
10
00
00
00
01
10
10
00
11
11
10
00
10
01
01
10
10
00
10
10
10
00
00
00
01
11
01
10
10
00
01
11
11
10
01
00
00
10
11
01
00
11
10
00
11
00
11
01
10
10
01
00
11
00
01
10
11
10
10
10
00
10
11
00
00
00
10
10
10
01
01
01
10
10
10
11
00
10
10
10
01
00
00
00
10
10
00
00
10
10
01
11
00
01
10
10
00
10
10
10
00
00
10
00
00
00
01
10
00
10
00
10
01
00
11
11
00
00
00
00
00
10
11
00
01
00
00
01
00
00
10
00
10
11
00
11
11
11
11
00
11
01
10
10
00
00
11
00
01
11
10
00
11
00
10
00
00
10
10
01
00
10
00
00
10
10
11
00
00
00
11
10
00
11
00
10
10
10
00
11
10
10
00
00
10
10
00
01
01
11
10
10
00
10
00
01
10
11
10
10
00
10
01
11
00
00
10
10
00
10
10
11
11
01
00
10
00
10
01
01
10
10
10
01
00
01
00
11
10
11
00
01
10
11
11
00
11
11
00
01
11
10
01
00
10
10
00
00
11
10
00
01
10
10
00
01
01
10
11
00
11
10
10
11
00
10
10
10
10
00
10
00
10
00
01
11
11
01
10
00
00
01
11
11
11
00
00
10
10
10
10
11
00
10
10
00
10
11
10
00
00
01
10
01
11
01
00
00
01
10
00
10
01
00
01
10
11
01
11
00
01
10
10
00
00
10
10
00
01
11
01
00
10
00
10
01
01
10
01
00
00
01
10
10
11
01
01
10
10
10
01
01
11
10
00
00
10
00
11
10
01
00
00
01
10
10
10
10
01
01
10
01
00
01
11
00
01
10
10
00
10
10
00
00
10
10
00
00
00
10
10
11
00
00
00
01
10
01
01
10
11
10
11
01
11
10
10
01
00
00
00
10
10
10
00
10
00
10
10
10
10
00
01
10
00
01
01
00
01
00
01
10
00
10
10
10
00
00
01
10
10
00
10
10
01
01
11
11
10
10
00
00
10
10
00
00
00
00
00
11
00
01
10
00
11
00
01
10
01
00
00
01
01
11
00
01
10
11
10
10
10
00
00
10
00
00
11
10
01
11
10
00
00
01
00
00
01
01
01
00
10
11
00
01
10
00
00
11
00
10
00
00
00
10
00
01
00
01
00
01
11
00
00
11
11
00
00
11
10
11
10
10
10
10
11
10
00
00
01
11
00
00
01
10
01
01
11
10
00
00
00
00
10
10
10
01
00
11
10
00
10
11
00
00
11
10
10
11
00
00
00
10
10
00
10
10
10
11
00
11
10
10
01
10
10
00
01
00
10
00
00
00
10
10
00
01
11
10
10
11
10
11
01
01
00
00
10
11
10
01
10
11
00
01
00
10
10
10
00
00
01
10
01
10
00
00
01
10
10
10
11
10
11
01
01
00
10
01
01
10
00
10
10
00
10
00
00
00
10
11
11
00
01
00
00
00
00
00
00
00
10
01
11
00
00
00
11
01
00
10
10
10
01
00
00
10
10
01
10
01
00
01
10
10
10
10
00
00
10
10
10
10
11
01
10
00
10
10
01
01
10
00
10
00
11
10
00
10
00
00
10
10
10
01
00
00
00
00
10
01
11
00
00
01
01
10
01
00
11
00
11
10
00
10
00
01
10
01
01
10
10
00
10
10
01
11
10
01
00
00
10
10
01
01
00
00
10
00
10
10
11
00
01
00
10
01
01
01
10
10
00
11
00
01
10
11
10
01
00
11
11
01
00
00
00
10
01
00
01
10
11
11
00
11
10
11
01
01
10
00
10
11
11
00
00
10
01
01
11
10
00
10
01
10
11
01
00
11
11
10
10
00
11
10
01
00
10
01
00
10
00
10
10
00
00
01
01
01
00
10
11
00
10
00
10
10
10
00
10
11
00
10
10
10
00
11
00
00
01
10
01
00
11
00
00
10
00
00
10
11
00
00
10
01
00
10
10
10
10
00
11
11
11
10
11
11
00
01
01
01
10
10
11
00
00
01
10
10
01
11
01
10
11
11
11
00
00
00
11
00
00
00
10
01
00
00
01
10
01
10
10
11
11
11
00
10
10
10
00
01
00
10
00
01
00
11
10
10
10
10
00
00
11
10
00
00
11
00
00
11
01
00
11
11
00
00
10
10
01
00
10
00
10
10
10
00
00
10
10
00
01
10
10
10
11
00
10
10
00
10
10
01
00
01
01
11
11
11
10
10
00
01
10
10
01
00
01
10
10
01
00
11
10
00
00
10
00
00
00
01
00
11
00
00
10
01
10
00
00
10
01
11
10
10
10
01
01
01
00
00
11
11
11
10
00
00
10
00
10
00
00
00
01
00
00
11
00
11
10
10
11
00
00
01
11
10
00
01
11
00
00
00
10
10
01
10
10
00
00
10
10
01
00
00
10
00
00
00
01
01
01
10
00
10
11
10
01
10
11
10
01
11
11
10
00
00
00
10
10
11
01
10
11
01
10
10
00
10
10
00
11
00
00
00
11
10
01
10
00
00
10
01
10
00
00
01
11
01
00
11
00
10
00
10
10
10
10
01
00
01
10
00
00
10
10
11
10
00
10
10
10
10
10
01
11
11
00
11
11
10
10
01
00
00
11
00
10
10
00
11
11
01
01
10
10
10
10
00
00
11
10
11
00
11
10
10
00
00
10
10
11
11
10
10
11
00
00
00
10
00
01
00
10
00
10
10
10
10
00
01
00
01
10
11
00
01
00
00
10
11
10
10
00
00
10
10
10
11
10
00
00
01
11
10
00
00
01
00
00
10
01
00
10
10
10
10
10
00
10
10
00
00
10
10
10
10
10
00
11
00
10
01
01
00
10
11
10
11
11
01
01
01
01
10
00
10
11
00
00
10
10
01
10
01
01
01
00
10
10
01
00
10
10
00
00
10
01
11
10
00
11
00
01
10
11
10
11
00
11
10
01
10
11
10
00
10
11
01
00
00
00
11
10
10
10
00
10
10
10
10
00
00
10
10
01
10
01
00
01
10
00
00
10
00
01
00
10
10
10
11
01
10
00
00
00
00
11
10
01
00
01
10
01
00
10
11
10
10
00
10
10
01
00
10
11
10
00
01
10
01
00
11
11
01
00
11
00
00
10
10
11
01
10
11
10
01
10
10
01
01
00
00
00
11
01
00
10
10
00
00
11
10
11
01
01
01
10
11
01
10
10
00
00
00
10
10
10
00
10
00
10
00
10
10
00
11
00
01
10
10
00
00
10
10
11
10
00
00
00
01
10
10
11
10
01
10
00
10
00
00
00
01
11
00
10
00
10
01
10
11
10
00
00
10
10
11
10
11
00
10
00
00
10
00
11
10
00
00
10
00
00
10
10
10
01
01
01
00
10
00
10
00
00
10
10
00
00
00
00
10
10
01
01
10
00
01
11
10
11
10
10
00
11
01
00
10
11
10
00
11
01
00
10
10
11
11
00
01
10
00
10
01
10
10
00
00
00
00
00
00
10
01
10
01
00
00
01
10
10
01
01
10
01
10
11
00
00
01
10
11
00
01
10
10
11
10
10
00
01
10
11
00
00
11
00
00
00
11
00
01
10
00
10
10
10
00
10
10
01
01
11
10
11
00
00
01
00
00
10
11
00
00
00
10
10
00
00
00
11
10
10
00
11
11
10
10
10
11
10
10
00
01
10
00
00
10
00
00
10
10
00
00
11
11
10
01
10
00
10
00
00
00
00
10
01
00
10
11
10
01
11
10
00
00
10
11
11
00
01
01
00
10
00
11
10
00
01
01
10
10
10
00
01
11
10
11
11
00
01
10
11
10
11
00
00
10
10
10
00
01
10
10
00
11
11
00
10
11
01
10
11
10
00
01
11
10
10
00
01
00
10
10
10
01
10
00
01
10
10
10
01
10
10
00
10
00
00
01
11
01
10
11
00
01
10
10
00
01
00
11
01
10
10
10
00
00
01
01
10
10
00
00
00
10
01
11
10
10
00
10
11
00
11
01
10
11
00
00
10
00
10
11
11
00
10
10
11
10
00
00
01
10
11
01
10
00
01
00
00
10
10
00
10
10
00
10
11
01
11
11
01
00
10
00
10
10
00
00
10
10
00
11
00
10
10
10
01
10
00
01
10
10
00
11
00
10
10
01
11
10
11
00
00
01
00
10
00
01
11
01
01
00
00
11
10
00
00
10
11
11
10
00
00
00
10
01
01
10
10
10
11
10
10
10
00
00
01
10
10
01
00
00
00
10
10
11
01
00
00
10
10
10
10
00
10
10
11
01
00
01
00
11
10
00
00
10
00
00
10
11
10
00
00
01
01
11
00
00
10
10
00
10
11
01
00
10
01
11
01
00
01
00
11
01
10
10
01
00
10
10
00
00
00
10
10
00
10
10
00
01
10
10
11
11
10
01
00
01
10
10
00
11
10
10
01
00
10
10
00
00
11
01
11
10
00
00
01
10
00
10
11
11
11
11
00
10
00
10
10
00
00
11
10
11
00
10
11
11
11
01
10
10
10
11
10
01
01
11
01
11
10
00
10
01
11
10
10
01
01
11
00
01
11
01
00
01
00
10
00
01
01
11
00
10
11
01
00
01
11
00
10
00
00
11
10
00
00
10
00
00
11
10
10
10
10
00
00
10
01
00
10
11
01
00
00
10
10
10
01
10
01
00
10
00
00
00
10
00
00
01
00
00
11
10
11
10
10
10
00
10
00
10
00
01
10
11
01
00
01
11
00
00
00
10
10
10
00
00
00
10
11
00
00
01
11
10
10
11
10
10
10
00
11
01
01
11
00
10
00
00
00
01
00
11
10
00
10
11
00
00
01
01
01
01
10
11
00
10
10
00
01
10
01
01
11
00
10
01
01
00
00
10
01
00
10
11
11
11
10
10
00
10
00
00
00
00
00
11
10
10
11
00
11
11
10
00
01
00
01
10
10
00
01
10
11
10
00
10
00
10
00
00
01
10
10
00
11
01
10
00
00
00
10
00
00
10
10
01
11
01
00
11
00
10
10
10
00
01
00
11
00
10
01
10
11
00
11
10
00
01
00
11
11
10
00
01
10
10
10
10
00
11
10
00
11
11
00
00
10
10
00
00
11
01
00
11
00
01
01
01
00
11
10
11
11
00
00
01
10
10
00
10
00
00
10
10
01
10
11
10
11
01
00
00
01
01
10
00
00
10
11
01
00
11
10
10
10
00
10
11
00
00
00
11
00
00
10
10
10
10
00
00
01
10
00
11
10
10
10
01
10
10
10
00
00
11
10
11
00
11
10
11
00
10
10
01
00
10
10
01
00
00
00
10
01
10
11
10
00
10
01
11
10
00
01
00
00
10
11
01
00
00
01
01
10
00
01
10
11
00
11
11
00
00
11
00
00
10
01
00
10
01
01
10
10
01
01
10
11
10
10
00
10
01
00
11
00
00
10
11
01
10
10
01
10
00
10
10
00
00
00
10
00
01
01
10
00
10
10
10
10
11
10
00
10
10
00
10
01
00
10
10
01
01
00
01
11
01
00
10
10
11
10
00
00
10
10
11
00
00
10
10
00
11
01
10
10
01
10
10
01
00
11
10
01
11
00
00
10
00
00
00
10
11
10
01
01
00
00
10
10
00
01
00
10
11
00
10
10
10
11
00
00
00
00
00
10
10
01
11
11
00
11
10
10
00
01
11
10
01
01
01
11
00
00
11
10
10
10
01
00
10
10
01
10
01
00
00
00
10
00
10
01
00
10
11
00
00
00
10
01
00
00
11
00
00
10
10
00
00
00
10
10
00
10
00
00
01
10
10
01
10
01
00
11
11
10
00
00
00
00
11
11
00
10
11
11
01
00
10
00
00
11
00
00
11
01
10
00
00
10
10
00
10
00
00
10
01
00
11
00
01
11
11
00
11
10
00
10
10
11
00
00
00
10
11
00
01
01
11
00
00
00
10
10
11
00
01
01
10
00
01
00
10
11
01
00
10
01
00
01
10
11
00
01
00
00
00
10
00
00
10
00
11
00
00
10
11
01
01
10
10
00
00
10
10
01
11
11
10
10
00
01
00
11
10
00
01
01
10
00
01
10
01
11
10
01
11
10
00
10
10
01
00
01
10
00
11
11
00
00
00
10
00
01
10
10
11
01
11
10
01
00
00
01
10
10
00
00
11
00
00
00
10
10
10
11
01
00
10
10
00
01
00
10
00
01
10
10
10
00
10
10
10
00
10
10
00
10
11
11
10
10
00
10
11
01
00
10
11
01
00
00
11
10
11
01
01
10
10
00
10
11
00
00
10
01
00
01
00
10
00
00
10
10
11
00
00
00
01
10
11
11
00
10
00
10
10
00
01
00
10
00
10
11
10
11
01
10
10
10
10
11
01
00
11
10
00
01
00
11
11
00
01
10
00
01
10
10
00
01
10
00
01
10
11
10
01
00
01
00
01
10
01
11
10
00
10
10
00
10
10
10
01
00
00
11
10
01
11
10
01
10
11
00
01
11
10
10
10
10
00
10
10
01
00
11
10
10
00
10
01
00
10
11
00
00
01
00
01
10
00
10
10
01
01
10
01
00
10
11
01
00
10
10
11
00
10
10
00
00
00
01
00
10
00
00
01
00
10
10
11
10
11
10
10
10
10
10
00
10
01
00
11
00
01
11
01
00
00
00
00
00
10
10
11
00
10
11
01
00
10
01
11
10
00
01
10
10
10
10
00
10
00
00
10
01
01
11
10
10
00
11
00
01
00
00
00
10
01
10
10
11
01
10
11
01
00
11
10
00
01
01
00
01
10
00
11
00
10
10
10
01
11
01
00
10
10
11
00
11
10
00
10
10
10
00
01
11
10
01
10
10
10
00
00
00
10
10
10
01
00
00
00
10
10
00
10
01
10
10
00
11
01
00
00
00
01
11
10
11
00
10
10
00
10
11
00
10
01
00
11
10
11
10
11
00
10
10
00
01
10
10
01
01
00
11
11
10
00
10
01
00
10
11
11
01
11
01
00
00
11
11
01
10
00
01
00
00
10
10
10
01
10
00
01
00
00
10
00
00
10
01
01
11
01
10
10
01
10
10
10
00
00
11
10
10
00
00
11
10
10
00
00
10
00
10
00
10
01
00
11
11
00
10
11
10
01
11
10
00
11
10
11
00
00
10
01
00
00
00
10
10
01
10
00
10
10
10
10
10
10
01
00
10
00
10
10
11
01
00
10
00
00
00
10
10
01
00
10
10
10
01
10
00
10
01
10
00
00
11
11
10
11
01
00
01
10
11
01
10
10
01
10
11
01
10
00
00
01
10
00
01
10
00
01
10
00
00
11
10
10
10
00
01
11
00
00
00
10
10
11
10
11
00
01
00
00
01
10
10
10
10
01
10
00
10
00
00
00
00
10
10
10
00
10
00
10
01
01
11
00
01
11
00
10
11
11
00
00
01
00
01
10
10
10
11
00
00
00
10
10
10
01
00
11
11
00
00
01
01
10
00
10
00
10
00
01
10
10
01
01
11
11
10
00
10
01
00
11
10
10
00
00
10
01
10
10
01
10
01
00
00
00
10
00
10
10
11
11
00
01
01
00
00
10
00
00
01
10
10
01
11
10
10
10
00
00
10
10
00
10
10
01
01
00
10
11
10
00
10
11
00
00
01
00
11
01
10
01
10
01
00
10
01
10
11
00
10
10
00
11
00
11
11
10
10
01
10
10
00
00
10
11
00
10
01
01
00
00
01
00
11
00
00
11
10
00
01
11
11
00
11
10
11
00
01
00
00
10
10
01
00
10
10
00
10
10
11
00
00
00
11
10
00
00
11
01
11
10
01
11
00
01
11
00
00
10
10
11
00
11
10
11
00
00
10
10
11
10
00
01
11
00
10
10
00
10
10
00
01
11
11
01
01
01
11
00
11
11
00
00
10
11
00
10
00
00
10
11
10
01
10
10
00
10
00
10
11
00
01
00
11
10
10
10
00
10
10
00
00
11
10
01
10
11
00
01
11
10
10
00
00
00
11
10
11
10
01
00
10
01
10
10
00
10
10
11
01
00
01
11
10
00
10
10
10
10
11
01
10
01
10
11
00
00
01
10
10
00
11
10
01
01
11
10
10
00
00
00
11
00
00
10
10
10
10
01
11
11
11
10
10
00
10
10
00
00
11
11
00
00
10
10
10
00
01
11
10
11
10
10
11
11
01
00
10
11
01
10
00
01
10
01
01
11
01
00
00
01
11
11
10
00
00
10
10
10
01
10
11
00
01
10
00
00
11
10
00
00
11
01
00
00
00
01
11
11
10
00
00
10
00
01
01
10
10
01
00
00
00
00
10
10
00
10
00
00
10
10
00
01
00
10
01
10
00
00
10
00
11
00
00
10
01
11
01
10
00
00
10
10
11
00
00
10
10
11
11
10
11
00
10
11
00
10
00
11
11
10
10
01
00
00
11
11
00
00
01
10
00
01
00
00
00
11
11
10
00
11
11
10
10
00
00
10
10
11
01
10
00
10
01
10
10
01
10
10
10
01
11
00
10
10
11
11
10
00
11
00
00
10
00
11
10
01
10
00
00
00
00
00
10
00
10
10
01
00
00
11
00
01
11
11
01
10
01
11
00
00
10
10
10
10
00
11
10
01
01
00
11
10
11
01
00
10
11
10
00
11
11
11
11
10
00
00
00
00
11
10
01
00
00
00
10
10
10
01
00
00
10
00
01
10
11
10
00
00
00
00
11
01
10
10
01
00
11
00
00
10
10
10
00
00
10
00
10
10
00
00
11
11
01
00
11
11
01
11
00
10
00
10
10
00
00
01
00
10
10
00
01
00
11
10
00
10
10
10
00
00
00
01
11
00
00
00
00
00
10
00
00
00
11
00
10
10
00
00
10
10
10
00
10
10
10
00
10
00
10
01
00
00
10
00
00
10
11
10
00
10
00
00
00
01
10
10
01
01
10
01
00
10
10
00
00
00
10
10
11
00
10
10
10
01
10
00
00
10
01
10
10
00
11
01
11
01
00
10
10
11
01
00
10
11
01
10
11
01
00
10
10
01
00
10
11
00
10
10
11
00
01
10
11
01
11
11
01
10
10
10
00
10
10
00
01
10
01
00
10
10
00
10
01
00
11
11
00
00
10
01
00
10
10
11
10
01
01
01
11
11
11
00
10
11
11
00
10
01
01
00
00
11
00
10
01
01
10
10
10
11
11
00
00
01
00
11
00
10
11
00
10
00
00
11
10
10
00
10
01
00
00
10
10
00
00
10
11
00
00
10
10
11
00
00
11
00
00
00
01
11
01
11
00
00
11
11
00
00
10
00
10
10
01
11
00
00
11
10
00
10
10
10
10
00
11
01
10
00
01
00
01
10
00
00
10
10
10
10
00
10
10
10
10
00
11
00
11
11
10
10
10
00
10
10
00
00
00
01
00
11
00
10
10
10
10
11
01
00
10
11
11
00
00
11
01
10
01
00
10
00
10
01
10
00
01
10
00
10
01
00
11
11
10
10
01
01
11
00
01
11
10
00
01
11
11
00
00
10
10
00
10
00
10
00
01
00
00
01
11
10
01
11
01
10
10
00
00
11
10
00
00
00
11
00
00
10
00
11
10
00
01
11
11
01
11
10
10
11
11
10
01
00
11
01
11
11
10
00
00
10
10
11
00
00
10
11
10
10
10
00
00
00
10
10
00
01
00
10
00
00
10
10
00
00
10
01
10
01
01
11
10
00
00
11
11
10
11
00
00
00
01
10
11
00
00
00
01
01
10
10
01
10
01
00
00
11
10
11
01
00
11
00
01
10
00
10
10
01
00
10
10
10
00
00
10
10
10
00
01
11
11
00
00
10
01
10
10
11
01
01
10
11
11
00
10
00
10
10
10
10
00
00
11
10
01
10
00
00
10
00
10
01
11
10
01
10
10
00
10
10
11
00
00
00
00
11
10
10
00
00
01
01
01
11
11
11
01
00
00
00
11
11
00
11
10
10
10
10
00
01
10
10
01
11
10
01
00
10
10
00
10
11
01
00
00
10
10
00
11
00
11
00
11
10
01
10
11
00
00
10
10
00
01
01
00
00
01
00
10
00
10
01
00
11
10
00
10
10
00
10
01
00
01
00
10
11
00
00
01
11
10
00
11
11
01
01
10
01
01
10
10
00
01
10
00
00
10
10
10
00
01
00
00
00
00
10
10
10
10
00
00
11
10
10
10
10
10
10
00
00
00
10
10
10
00
01
11
11
11
11
00
11
10
11
01
00
00
00
10
11
00
00
10
11
10
01
00
10
10
00
10
10
00
10
11
01
01
10
00
11
10
01
00
00
11
10
00
01
10
10
11
10
00
01
01
00
11
00
11
00
11
00
10
00
01
11
11
01
00
10
00
11
10
00
01
00
00
00
11
10
11
00
10
10
00
00
00
10
00
10
11
00
00
10
00
10
10
01
00
11
01
11
01
00
10
10
11
00
01
11
00
11
01
10
01
10
11
00
10
00
00
01
10
00
01
11
10
00
11
00
11
10
11
11
00
11
00
00
11
01
11
10
00
01
00
00
10
01
00
00
00
11
11
01
00
10
10
01
10
10
10
01
00
10
00
11
00
00
10
11
10
01
00
00
10
00
01
10
10
10
01
00
11
10
10
10
00
00
01
11
11
00
00
10
00
01
11
10
01
11
10
11
01
00
01
00
11
01
10
11
00
00
01
10
10
00
10
10
10
01
10
10
01
00
01
00
00
10
00
00
00
00
00
10
10
11
10
00
01
01
10
10
01
00
10
00
00
11
11
11
01
01
10
00
10
00
10
10
10
00
00
00
01
10
00
10
11
00
00
11
10
00
01
01
01
01
10
00
10
10
10
10
01
00
11
11
11
10
00
10
10
00
00
10
00
00
11
00
01
00
00
10
00
00
00
01
10
11
10
01
00
00
00
00
01
00
10
11
00
01
10
10
00
00
00
00
10
01
11
10
10
10
00
10
00
00
11
00
10
10
10
11
00
10
11
00
00
01
00
10
00
00
11
11
00
01
00
10
00
01
10
11
11
01
01
01
01
00
00
10
00
11
00
11
10
00
10
11
11
00
11
11
00
10
10
10
00
00
11
00
00
00
11
00
00
11
11
11
10
01
00
11
00
01
10
10
00
11
00
00
00
00
10
10
01
10
10
00
10
11
01
00
10
00
00
11
10
00
00
11
10
10
10
10
10
10
10
01
11
10
11
01
01
10
00
10
00
10
01
00
00
00
10
10
11
10
00
01
10
10
01
00
10
10
10
10
00
00
01
10
10
00
10
11
00
00
01
00
11
00
10
10
00
11
11
00
01
00
01
11
10
00
00
00
10
00
01
00
10
00
01
00
11
01
11
00
00
00
00
10
10
10
11
01
00
01
10
10
10
00
00
10
00
10
10
00
10
10
00
10
01
10
01
00
11
10
10
10
00
10
00
00
11
11
00
00
00
10
00
01
11
00
10
00
00
00
11
11
10
11
10
01
00
10
11
01
00
10
00
10
10
00
00
00
00
10
11
00
01
10
10
10
00
10
10
10
00
01
10
10
11
00
01
00
01
01
10
00
01
10
11
10
01
01
10
00
10
11
01
00
01
10
10
10
00
00
00
10
10
11
00
00
00
11
00
00
10
10
01
01
11
10
00
00
10
00
11
01
10
10
11
01
01
11
00
01
11
10
01
10
10
10
01
01
10
00
00
00
01
10
10
10
00
10
11
01
10
10
11
10
10
10
00
11
00
11
10
11
01
01
10
01
00
00
00
10
11
00
10
00
00
10
10
00
10
11
01
00
00
10
10
11
10
10
10
10
00
00
00
00
01
01
10
10
10
10
01
10
00
11
01
11
10
00
01
01
00
00
00
11
10
10
10
01
11
11
10
11
01
00
01
10
11
00
01
11
10
10
10
00
01
00
11
10
00
00
00
11
00
00
01
10
01
00
11
00
00
00
10
10
00
10
10
11
01
00
11
00
10
10
00
00
10
11
01
00
10
11
10
00
00
10
10
01
11
10
00
00
01
00
11
01
10
00
10
10
00
11
00
10
00
00
10
01
00
11
11
00
11
00
11
10
00
10
10
01
01
01
10
10
00
10
10
11
00
00
11
10
00
01
10
10
01
11
10
10
11
11
10
00
10
00
10
00
00
10
10
01
00
00
10
00
00
11
00
11
11
00
10
00
01
00
01
00
10
10
10
10
00
10
10
11
10
10
11
00
00
01
00
10
10
00
11
00
01
01
01
01
11
00
01
01
10
10
10
00
00
11
00
00
10
01
01
10
11
10
10
00
00
01
10
10
00
01
10
00
11
10
10
11
00
01
01
10
00
11
10
11
10
00
00
00
01
10
10
01
01
10
11
10
10
10
11
00
00
10
11
01
10
00
00
00
10
01
00
00
00
11
11
01
11
10
00
00
01
00
00
00
10
00
10
00
10
11
00
00
01
10
01
10
10
10
10
10
01
01
00
00
11
10
00
01
11
11
01
00
11
11
10
10
00
00
11
10
00
00
01
01
11
10
00
10
11
11
00
11
10
01
10
10
00
00
00
11
00
00
01
11
10
00
00
10
00
11
10
11
00
00
10
11
00
00
00
11
10
11
10
10
10
10
10
10
00
10
10
00
10
00
01
11
00
11
00
00
01
10
10
01
00
10
10
11
11
10
00
00
11
10
01
00
10
10
01
00
10
00
00
11
11
10
01
00
01
00
10
10
00
01
10
01
00
00
10
10
00
10
00
00
10
10
01
00
10
01
11
10
01
10
10
00
00
00
10
10
01
00
10
10
10
00
01
01
01
10
10
11
10
01
10
10
01
01
00
10
10
01
11
10
10
00
00
10
10
10
01
11
10
10
00
10
00
01
10
10
01
10
11
10
10
00
11
10
10
11
00
00
00
01
11
00
10
00
01
11
10
01
00
01
10
10
00
10
10
11
00
00
01
10
01
01
00
00
10
10
10
10
01
11
00
00
01
10
10
00
00
11
11
00
10
01
01
01
10
00
10
10
00
00
00
10
00
11
00
00
10
10
11
10
00
10
11
10
01
10
00
10
10
11
00
00
10
10
01
00
11
01
00
00
11
00
00
10
10
10
00
00
10
10
00
00
01
10
10
10
10
10
10
11
01
01
01
01
10
10
10
00
10
10
10
00
01
11
10
00
01
11
01
00
00
11
10
00
01
10
10
00
00
10
10
00
00
10
10
01
10
11
00
11
10
11
01
00
10
11
10
00
01
00
10
10
00
00
00
10
11
00
10
00
10
00
10
10
10
01
01
10
10
00
00
10
11
00
10
11
00
11
01
11
11
00
00
00
01
11
10
10
00
00
01
10
10
11
00
00
00
00
10
10
00
01
10
00
00
00
10
10
11
00
11
11
10
11
01
11
01
11
11
10
01
11
10
00
00
11
10
00
11
01
10
00
00
10
01
10
00
00
00
01
00
10
10
00
00
10
00
10
01
10
11
10
01
00
01
10
11
01
10
10
00
11
10
01
00
10
10
10
00
11
00
10
10
10
11
00
01
01
10
10
10
00
00
00
00
10
10
00
10
10
10
00
10
01
10
10
00
00
10
00
11
10
10
00
00
11
01
11
00
10
11
01
10
00
10
01
10
01
11
10
00
10
10
10
10
00
01
11
10
00
01
10
01
11
00
00
11
10
10
10
10
10
10
11
01
00
00
10
11
00
10
01
10
00
01
10
00
00
10
11
00
01
10
00
11
10
01
00
11
10
00
10
00
00
10
11
00
01
01
10
00
10
00
11
01
00
10
00
00
00
10
00
00
11
10
00
00
10
10
11
01
11
00
10
00
10
10
01
10
11
10
11
10
01
00
10
00
10
11
00
10
00
11
10
11
01
10
10
10
01
00
10
10
10
00
10
01
11
00
00
11
01
10
01
00
00
00
10
11
10
00
00
01
01
00
01
10
00
00
11
01
00
00
10
10
10
01
01
10
10
01
10
11
00
10
00
10
00
00
11
00
00
10
10
11
10
00
00
10
11
00
00
00
10
10
10
00
00
11
00
01
00
10
10
01
10
10
00
00
00
10
10
10
10
00
00
01
11
10
10
00
00
11
10
01
11
10
01
00
10
10
00
00
10
10
00
10
01
10
10
11
11
00
10
11
00
01
11
11
10
00
00
10
01
01
00
00
10
11
01
01
10
00
00
10
10
01
11
00
10
01
01
01
00
11
00
10
00
10
10
01
01
01
00
10
01
00
11
00
11
00
00
11
10
01
00
10
00
11
00
11
00
10
11
00
01
11
10
00
10
01
01
00
11
00
00
10
11
00
00
10
11
11
10
11
00
00
00
01
10
11
01
00
11
10
01
10
01
00
00
10
10
10
00
01
10
00
11
10
10
00
01
00
10
10
00
00
11
01
10
10
10
11
00
00
11
11
10
11
01
01
10
10
00
00
11
10
01
10
00
00
11
01
10
10
00
00
01
00
01
10
00
00
10
00
00
00
10
10
01
00
11
01
01
11
10
00
01
00
10
00
01
10
00
00
10
10
11
00
00
10
00
11
01
10
10
00
00
10
00
00
00
11
10
01
00
11
10
10
11
00
00
10
10
01
11
10
00
11
10
00
10
00
01
00
10
10
10
00
00
10
10
00
11
00
10
10
00
00
10
10
00
10
10
00
10
00
10
01
00
11
00
10
00
10
00
10
11
00
01
10
01
00
10
10
00
10
00
00
10
00
01
10
11
11
11
10
10
10
01
10
10
00
01
10
01
10
00
01
10
11
00
11
10
11
10
00
10
10
01
01
10
11
01
00
00
01
00
11
11
00
10
00
10
10
11
00
10
10
00
11
10
11
01
10
10
01
01
10
01
00
11
00
00
00
10
01
00
00
11
10
00
11
11
10
01
01
00
10
01
01
10
10
00
00
11
00
11
11
00
01
00
11
11
10
00
00
00
11
00
00
00
01
10
11
01
10
01
11
01
10
00
00
10
10
10
00
10
00
11
10
01
00
11
00
10
11
10
00
01
01
11
10
00
00
01
10
10
01
00
10
10
01
11
00
10
00
01
00
10
10
10
10
00
00
00
10
00
10
01
10
10
10
00
11
10
10
01
10
10
00
00
00
10
00
00
00
10
01
00
10
10
10
00
00
00
01
00
10
10
01
01
10
00
10
10
01
01
00
01
10
10
11
00
00
10
00
01
00
10
10
01
00
01
10
11
10
10
10
00
10
10
10
11
01
10
00
01
00
10
10
01
00
11
00
10
10
00
00
10
10
01
00
11
00
00
11
01
00
10
01
01
11
10
01
10
10
10
10
10
10
10
01
10
11
01
11
10
11
01
10
00
10
10
01
11
10
00
01
00
00
01
10
10
10
11
00
00
11
01
01
00
00
10
10
00
00
10
11
00
00
01
00
00
10
10
01
00
10
01
10
10
01
00
11
01
00
11
11
00
10
10
00
01
01
00
10
10
00
00
10
10
00
11
10
10
11
00
10
00
00
10
11
00
10
11
01
01
11
00
00
11
10
10
10
10
00
00
10
00
00
10
00
10
00
10
10
10
10
01
11
10
00
00
01
01
10
00
00
10
10
01
00
10
10
11
00
00
11
10
10
10
01
00
10
10
10
10
01
01
00
10
01
11
00
01
10
11
00
01
00
11
11
00
01
01
11
11
01
01
01
11
01
10
11
01
11
11
00
10
10
01
01
00
01
00
11
00
11
10
00
10
00
10
10
01
10
00
10
01
10
10
01
01
11
11
10
11
10
01
11
10
10
00
00
01
00
10
01
00
00
01
00
10
10
01
00
00
11
10
11
10
01
01
10
10
00
00
10
01
10
10
10
00
00
00
00
10
11
00
11
00
10
11
11
11
00
10
11
10
00
10
00
00
01
00
01
11
11
10
10
00
10
01
10
01
01
00
11
10
10
00
10
10
11
00
01
10
01
11
00
01
11
01
00
00
10
10
00
11
01
11
00
10
11
10
10
01
00
10
00
10
11
10
01
10
01
11
10
01
00
00
00
10
10
10
00
00
10
00
00
01
10
10
00
01
00
00
00
11
11
00
01
11
10
00
01
10
10
01
01
00
00
11
10
00
01
11
10
11
01
00
10
10
00
00
10
10
10
00
10
11
00
00
01
10
11
11
10
01
10
10
00
00
10
11
01
01
00
11
01
10
00
10
10
00
00
01
10
01
10
10
00
10
00
01
00
10
10
00
01
00
10
10
00
00
00
11
10
00
00
10
00
01
00
01
01
11
10
00
00
10
11
00
00
10
00
00
01
11
10
01
10
11
11
01
00
11
01
00
00
10
00
00
00
10
11
11
10
10
10
01
01
01
11
10
00
00
10
01
00
10
01
00
10
10
01
10
00
01
00
11
10
00
01
10
10
10
10
01
01
10
00
00
00
01
10
10
00
00
00
00
11
10
00
10
01
00
00
10
11
10
01
00
00
10
10
10
10
00
00
00
00
10
10
10
00
10
11
00
00
10
11
10
10
00
01
01
10
00
01
10
01
00
10
00
10
10
11
11
01
01
10
10
00
10
01
00
11
10
10
10
10
00
10
00
00
10
10
00
00
01
01
01
10
11
00
10
11
01
10
10
10
00
00
11
11
01
10
10
10
00
10
00
10
10
11
00
10
10
01
00
00
00
00
10
00
10
10
10
00
00
10
01
00
11
11
10
10
11
00
01
10
10
00
00
10
10
11
10
01
00
01
11
00
11
11
10
10
10
01
00
11
10
00
10
00
10
10
10
10
00
10
00
00
10
11
01
00
10
01
00
11
11
00
10
10
00
00
10
10
10
00
10
10
00
11
00
00
10
10
10
10
10
00
00
00
00
10
00
00
00
10
11
00
10
00
00
10
11
10
10
01
01
10
01
10
00
00
00
00
10
00
10
10
11
10
00
01
01
10
00
10
01
10
00
01
10
11
10
01
10
10
01
10
10
11
01
00
11
00
10
00
00
10
10
10
10
11
00
01
10
01
00
01
01
10
11
10
11
00
00
10
00
01
01
01
10
10
00
10
11
01
00
11
10
10
10
00
10
10
11
01
10
10
10
01
00
00
00
10
10
10
10
01
00
00
01
10
11
00
00
11
10
00
00
10
10
01
10
10
01
10
11
00
10
01
10
00
11
00
01
00
10
10
10
00
00
11
11
01
11
10
10
01
11
11
00
01
11
00
10
10
01
00
00
10
11
00
01
10
10
00
00
00
00
10
00
10
11
11
01
00
00
11
00
00
00
00
11
00
10
00
00
11
00
11
11
00
10
10
10
01
01
10
00
01
00
00
10
10
00
01
10
11
00
10
01
00
01
10
00
01
10
00
10
00
11
10
11
10
10
01
10
00
01
00
10
00
10
11
10
10
10
00
00
10
00
11
00
00
00
10
10
01
01
11
10
10
00
10
11
10
11
00
11
01
01
10
10
00
01
11
10
00
01
10
00
11
10
10
10
00
00
00
01
10
01
10
10
00
01
01
10
01
10
00
10
11
01
01
00
11
00
01
10
11
00
00
00
00
01
10
01
10
01
10
11
00
11
01
01
01
10
00
00
10
10
00
00
11
11
00
10
00
10
10
01
10
01
00
11
11
00
00
10
10
11
10
00
10
10
01
00
10
00
01
10
11
00
10
01
01
00
10
10
01
10
00
00
10
10
11
01
01
00
00
01
00
00
10
00
00
10
10
11
01
10
10
00
00
11
10
11
11
11
00
11
10
00
00
01
00
10
11
01
10
11
10
11
10
11
10
11
10
00
10
11
00
11
10
00
10
00
11
00
00
10
00
00
00
10
10
00
00
10
00
00
00
10
00
00
10
01
01
10
11
11
00
11
00
11
00
00
11
01
01
01
00
10
01
00
01
01
11
10
10
11
00
10
10
00
01
10
00
10
01
10
11
00
11
00
10
01
10
00
00
00
00
00
10
11
11
11
10
10
10
01
10
11
00
00
01
10
00
10
10
00
00
00
10
10
01
10
11
10
10
11
10
11
01
00
11
00
00
10
01
00
01
00
10
10
00
10
00
11
01
10
00
00
00
00
00
10
10
11
01
00
00
00
11
11
10
00
00
10
11
10
01
10
00
00
00
10
10
11
00
10
10
00
10
10
01
11
10
00
01
00
11
10
10
01
11
10
01
00
00
11
10
11
00
01
11
10
00
00
00
11
10
01
00
00
00
11
01
10
01
00
10
00
10
10
10
10
00
10
10
00
10
00
00
01
10
00
10
10
11
00
10
11
10
10
11
10
00
00
01
00
11
00
00
11
10
00
10
10
11
10
01
00
00
10
11
10
00
10
10
10
00
10
10
01
11
11
10
10
00
01
01
00
10
11
01
10
00
01
00
01
10
01
11
11
00
10
10
00
01
11
00
00
00
00
00
00
10
10
11
00
01
11
01
00
00
10
01
00
00
11
10
11
00
10
01
00
00
10
11
00
11
10
01
10
00
00
10
00
10
10
01
00
00
11
00
00
00
11
11
11
00
10
11
00
11
00
00
01
11
00
11
00
01
01
01
10
10
00
11
00
01
11
10
00
00
00
10
10
01
00
01
11
01
01
00
00
00
00
10
11
00
00
00
00
10
00
10
10
00
00
11
10
00
00
11
10
00
11
11
01
10
01
00
01
00
11
11
00
00
11
01
01
01
10
10
01
00
11
00
01
11
11
11
00
01
11
11
10
01
01
10
10
00
10
10
10
00
01
10
10
10
00
11
00
00
00
10
10
10
01
11
01
01
00
00
00
10
10
00
10
10
01
10
10
01
00
11
00
10
00
00
00
00
01
11
00
00
10
10
10
00
11
01
10
10
00
01
01
10
00
01
00
00
01
11
10
10
00
00
10
11
00
10
00
10
10
10
10
00
10
00
00
11
00
01
00
00
10
00
11
01
00
10
00
10
11
10
00
11
10
10
00
00
10
00
10
11
00
01
10
00
10
01
00
11
00
00
11
10
10
00
11
11
00
01
11
01
11
10
00
00
11
00
00
11
10
00
10
10
00
01
11
11
11
10
00
00
10
11
10
01
00
10
11
01
11
10
11
00
10
01
11
10
10
11
01
00
00
10
11
01
01
00
11
00
00
11
10
10
00
00
10
10
00
01
10
00
10
10
00
11
10
00
10
01
10
10
10
00
11
00
00
10
10
10
10
00
00
10
10
10
11
00
01
00
01
00
10
00
00
00
00
10
10
11
11
10
01
00
10
00
00
10
10
10
00
11
10
11
00
10
11
10
00
01
10
10
10
00
01
00
00
01
10
11
00
11
00
10
11
00
00
10
11
01
00
11
11
01
00
01
10
10
10
10
00
11
11
11
10
01
00
11
11
10
10
01
00
10
10
00
01
10
10
00
00
10
10
11
00
00
00
11
00
00
00
10
00
01
00
00
11
10
01
10
10
00
11
01
10
00
10
11
10
10
01
10
10
10
10
10
00
01
10
00
10
11
11
01
00
01
10
01
11
10
00
01
10
00
00
10
11
00
11
10
01
10
10
00
00
10
11
11
00
10
00
11
10
11
10
10
00
10
11
00
00
10
00
00
10
01
01
00
11
00
00
00
01
10
11
00
01
11
10
10
00
10
10
11
00
00
10
10
01
01
11
00
00
10
10
00
11
11
00
11
11
10
10
10
01
11
00
00
10
10
10
01
10
11
00
00
10
10
10
11
00
10
00
01
00
00
01
00
10
10
01
10
10
01
10
11
10
01
01
01
00
11
01
11
11
11
11
00
00
00
01
11
10
00
01
11
01
10
10
00
00
11
11
10
00
00
10
00
00
00
00
10
00
10
10
11
11
01
11
10
00
00
10
10
10
00
11
10
10
00
10
00
01
00
10
11
01
10
10
00
11
01
10
00
01
01
00
10
11
01
11
10
00
10
00
11
00
01
10
11
11
11
11
00
00
00
10
10
10
10
10
01
10
10
00
00
00
10
00
00
11
00
00
11
11
11
10
11
10
10
10
00
11
11
00
10
00
00
00
00
00
10
10
00
11
10
10
00
01
00
00
01
01
01
01
01
00
00
01
10
01
01
10
01
10
00
00
01
10
10
10
10
11
10
10
10
10
11
00
10
10
01
00
00
10
00
10
10
10
10
10
10
00
00
11
00
00
00
10
11
01
00
01
10
00
10
10
11
00
00
11
00
10
11
01
01
00
00
10
11
00
01
10
10
00
01
00
10
11
11
10
11
00
10
11
01
00
00
00
10
10
00
10
11
10
10
00
10
00
10
00
01
10
10
00
01
10
11
00
00
11
10
00
10
10
00
10
00
10
10
00
11
00
00
00
10
10
01
01
00
00
01
11
10
10
00
00
01
10
01
00
00
11
11
00
10
01
00
10
01
10
10
10
00
11
10
00
00
10
11
10
00
00
00
00
01
10
11
11
00
00
00
10
10
01
00
11
00
01
11
00
11
10
10
00
00
11
00
00
11
00
10
10
11
00
10
00
00
11
11
11
10
10
00
10
00
00
01
10
10
00
01
01
10
10
00
01
10
00
00
11
00
01
00
10
00
00
10
00
01
10
11
01
00
00
00
00
10
00
00
10
00
11
10
01
01
01
00
11
00
00
00
01
10
11
00
11
10
01
00
00
11
10
11
01
11
11
01
00
00
01
00
00
01
10
10
01
00
10
00
01
10
10
10
10
00
10
00
11
00
01
11
00
00
11
10
10
00
00
00
11
00
10
10
01
10
11
11
01
01
10
01
00
00
11
00
01
10
11
10
01
00
10
00
00
10
11
00
00
01
00
10
00
00
01
10
00
10
10
01
11
00
01
10
11
01
01
10
10
00
11
10
00
10
11
10
10
10
00
10
10
00
01
10
10
00
01
00
11
11
10
00
00
00
11
00
00
10
11
01
10
01
01
01
01
00
11
10
11
00
11
10
10
10
01
00
00
11
11
00
00
10
10
00
01
10
10
10
00
11
10
10
00
10
11
10
10
10
10
01
00
00
11
00
10
10
01
10
01
00
11
00
00
10
11
11
11
10
00
10
10
00
10
10
01
00
10
00
10
10
00
00
11
11
00
10
10
00
10
00
00
11
00
00
00
00
11
01
00
01
10
01
00
00
11
10
00
11
10
00
00
00
11
00
01
10
11
00
00
00
11
01
01
10
11
01
00
01
11
11
11
10
00
10
10
01
00
00
10
01
00
00
11
00
10
10
10
10
00
10
00
00
00
10
11
01
10
10
11
11
11
01
01
11
10
01
00
10
10
01
00
11
11
00
11
00
01
00
11
10
00
00
10
11
00
01
10
10
10
01
01
11
11
00
00
11
11
10
10
00
01
00
00
10
00
11
00
10
10
10
10
00
01
11
00
00
10
11
10
10
00
11
00
00
11
10
11
01
10
00
00
00
01
01
10
11
00
01
10
10
10
11
00
00
10
11
00
01
10
10
00
01
00
01
00
11
00
00
11
10
00
00
00
11
10
01
11
00
10
10
01
11
10
00
00
10
10
10
10
10
01
00
00
11
11
10
01
00
10
10
00
10
10
01
00
00
01
00
01
10
10
10
11
10
10
10
00
00
01
11
01
01
10
10
00
10
10
10
10
01
11
10
10
00
01
10
10
00
00
11
00
00
00
11
11
11
11
00
00
01
11
01
00
00
11
10
00
10
01
10
00
10
10
00
11
01
00
00
10
10
10
10
00
00
11
01
10
00
00
10
00
10
11
00
00
01
11
01
00
10
11
00
01
01
10
10
10
00
00
11
10
00
10
10
11
00
10
00
10
11
00
01
00
00
00
10
11
11
01
10
10
00
11
11
10
10
00
10
01
10
10
10
00
10
00
01
10
00
11
10
10
10
10
10
01
00
01
00
10
00
00
11
10
10
01
00
10
10
00
00
10
01
11
10
10
01
01
00
01
10
10
10
01
11
00
00
00
11
11
11
00
11
00
10
10
10
10
00
10
11
10
00
11
00
00
00
00
11
11
00
11
10
00
01
00
11
10
10
00
00
01
00
11
11
10
10
10
00
00
00
11
00
11
10
00
00
00
00
00
00
10
00
00
00
01
10
10
10
11
01
11
10
00
10
00
01
10
11
11
00
11
01
10
01
00
10
11
00
00
10
11
00
11
10
10
00
01
10
00
01
10
10
11
10
00
00
11
10
00
00
10
11
10
00
01
10
10
01
10
10
10
00
01
10
00
01
00
10
10
10
10
00
10
10
00
10
00
10
11
10
00
10
00
11
10
01
00
00
00
10
11
10
10
00
00
10
11
10
00
01
00
10
00
01
10
00
11
10
01
00
11
01
01
10
01
00
00
00
10
00
10
10
01
11
11
11
10
00
00
01
10
00
00
10
00
00
00
01
10
01
00
10
10
00
01
00
00
10
00
11
00
10
10
10
10
10
00
00
11
00
00
10
11
00
01
00
01
10
11
10
11
00
10
00
01
00
01
10
11
01
01
10
10
11
00
10
10
10
00
10
00
00
11
00
10
00
11
01
00
10
00
11
10
01
10
10
10
11
00
11
10
00
00
01
00
01
11
11
10
00
00
00
11
00
11
00
00
10
00
00
11
11
00
00
00
01
01
01
10
10
00
11
00
11
10
00
11
11
01
00
10
01
00
01
00
00
10
00
10
00
10
11
00
10
10
11
00
11
11
00
11
00
11
01
11
10
00
00
00
11
10
00
10
10
00
10
00
10
01
11
10
10
00
10
10
00
01
00
10
01
00
10
11
00
10
10
10
10
10
11
00
10
01
10
00
01
10
10
01
11
11
00
01
00
00
00
01
11
10
11
01
01
01
11
01
10
11
00
11
11
00
00
11
11
01
00
11
10
10
11
10
00
00
10
11
11
01
00
10
10
01
10
00
00
10
01
10
00
00
10
11
00
01
10
10
01
00
10
11
10
01
00
00
10
00
00
01
10
10
10
00
01
00
10
10
00
00
10
10
11
01
10
00
11
00
10
10
00
00
11
00
01
11
10
10
00
01
10
10
01
00
10
00
00
11
10
11
01
01
00
01
10
10
10
01
01
10
11
00
11
10
10
01
00
01
01
11
10
11
10
00
01
10
11
00
00
00
01
00
10
11
00
10
00
00
10
11
00
10
00
01
01
10
10
00
10
00
11
10
01
00
01
10
10
00
01
11
11
10
00
01
10
10
00
11
11
10
01
00
11
10
00
11
00
01
00
00
11
11
10
00
10
10
00
00
10
10
01
10
01
10
10
00
00
11
11
01
10
01
11
10
00
00
11
00
10
10
00
00
00
10
10
10
10
00
00
10
00
01
11
10
10
01
00
00
10
00
01
10
00
00
10
10
01
10
10
00
01
11
10
00
01
00
10
00
01
00
00
00
10
10
00
10
10
10
01
00
10
10
01
11
11
10
00
11
10
00
10
00
00
11
10
10
10
00
00
01
00
10
10
00
11
00
10
00
01
10
00
01
11
10
11
11
00
10
00
10
10
00
00
10
00
01
00
10
11
10
10
11
11
00
10
11
01
00
01
10
10
10
00
00
00
10
10
01
00
10
10
01
00
11
11
10
00
00
01
11
00
00
10
10
00
10
11
01
00
00
10
01
01
00
01
11
10
11
01
11
10
10
00
01
00
10
11
00
10
10
00
11
11
00
00
11
00
10
00
01
01
01
00
11
00
00
11
01
01
11
00
11
00
10
00
00
11
10
01
10
01
00
00
10
10
10
00
11
10
00
10
00
01
00
10
10
10
11
00
00
00
00
00
10
11
10
01
01
10
10
00
01
11
00
00
10
10
10
00
00
10
11
11
10
00
10
01
10
01
01
11
01
10
00
10
00
00
00
11
11
00
10
00
00
10
11
10
00
00
10
00
01
10
10
10
10
10
11
01
10
10
00
01
00
10
01
00
10
10
11
00
00
11
01
01
11
01
00
01
01
00
10
10
01
01
00
11
11
10
10
10
01
01
10
00
01
10
00
00
10
10
11
10
00
01
10
10
01
10
00
10
10
10
10
01
01
10
00
10
10
01
00
10
00
00
00
10
10
01
10
00
00
11
10
10
00
11
10
10
00
00
00
00
00
11
00
01
00
00
10
10
01
00
01
10
10
00
00
11
01
10
11
11
00
10
11
00
11
01
00
11
10
01
11
10
00
00
10
10
01
00
10
01
00
00
10
10
01
01
10
11
00
01
10
10
00
00
11
10
10
10
01
00
00
10
00
00
10
00
00
11
10
10
00
00
10
00
00
00
10
11
11
00
01
11
01
00
10
00
00
01
11
11
00
11
01
00
10
10
01
10
10
00
10
11
11
00
00
11
00
00
11
00
00
10
10
11
01
10
10
00
10
01
01
11
00
10
10
10
11
00
11
10
10
01
00
10
10
10
00
00
10
11
10
10
11
01
00
10
00
10
00
01
01
01
11
10
00
00
10
10
11
11
00
00
10
00
10
10
01
10
10
00
00
00
00
10
10
10
10
00
00
01
10
01
10
10
00
11
10
01
10
00
01
00
00
10
00
11
00
10
01
10
01
00
11
10
10
00
10
00
01
01
10
00
00
11
00
11
10
11
10
00
00
00
10
10
01
00
00
11
10
01
10
01
00
00
00
11
01
00
00
00
10
10
01
11
11
00
00
00
00
10
01
00
00
10
01
00
00
00
10
01
01
10
10
10
00
00
10
10
10
11
01
00
00
00
00
10
10
10
00
01
00
00
01
00
10
00
00
10
10
10
10
00
01
10
00
01
10
01
00
00
11
00
01
11
00
00
10
01
01
00
10
11
10
11
00
00
10
11
00
00
01
10
11
10
00
10
01
00
11
00
00
10
11
10
10
00
00
11
11
11
01
10
11
10
01
11
11
00
10
10
11
00
01
11
10
10
00
00
00
00
10
00
00
11
00
11
10
10
10
00
10
11
10
00
00
01
00
01
10
11
01
11
10
10
00
01
10
00
01
10
11
11
00
10
11
10
00
10
00
00
00
10
10
10
00
00
10
01
00
10
00
11
00
00
11
11
01
00
10
10
10
10
01
01
01
00
10
00
11
10
11
00
00
01
10
01
00
10
10
10
10
11
00
01
00
00
00
00
01
10
00
01
10
00
00
00
10
10
00
10
01
01
10
10
00
00
00
00
10
00
10
00
01
10
11
10
01
10
00
11
11
10
10
00
00
11
10
00
10
10
10
11
11
00
00
00
10
10
01
01
00
00
10
00
01
10
01
01
10
10
10
11
11
10
00
00
01
01
00
10
10
01
10
11
00
00
10
10
00
00
10
01
10
10
01
11
00
00
01
10
11
10
00
00
10
11
10
11
01
01
10
11
10
00
10
00
01
10
00
10
01
11
01
01
10
01
10
10
00
10
00
11
01
00
11
00
10
10
00
10
10
10
00
00
10
00
01
11
10
10
11
10
11
00
01
10
00
00
00
00
10
10
01
11
10
11
00
01
11
00
00
10
00
00
00
11
10
00
11
11
10
11
01
01
10
10
00
10
00
01
01
10
01
00
10
11
11
10
11
10
00
00
10
00
10
11
00
11
11
11
10
10
00
00
00
10
10
00
00
11
00
00
11
10
10
00
00
10
11
10
00
00
00
11
10
00
10
10
00
11
10
11
10
11
11
10
00
01
11
00
11
11
10
00
00
00
10
10
00
01
00
11
10
11
01
01
00
00
10
10
01
10
01
00
10
01
10
01
00
00
10
11
11
01
11
10
10
11
00
00
01
11
11
01
10
10
00
00
10
01
00
10
00
01
01
00
10
10
00
01
01
10
11
10
00
00
10
10
00
01
10
00
10
10
10
00
00
10
01
00
01
00
11
00
00
10
11
10
01
11
11
00
00
01
10
01
00
10
10
10
10
01
01
01
10
10
00
10
10
01
10
11
11
10
00
10
01
00
00
10
00
10
10
00
11
10
10
11
11
01
11
00
10
00
00
10
00
10
00
00
10
10
10
10
00
00
10
10
10
11
00
00
10
10
01
11
10
10
00
00
00
00
10
01
11
10
00
10
00
01
00
00
10
10
01
10
00
10
11
00
01
10
10
10
10
00
00
10
10
10
10
11
10
00
00
10
01
11
10
00
00
00
11
00
01
10
00
11
10
10
11
10
00
00
01
00
11
00
10
01
10
01
01
10
00
10
10
10
00
00
10
11
01
01
00
10
00
00
10
00
10
11
01
00
10
10
00
00
00
11
11
11
00
00
11
00
10
10
00
00
01
00
10
01
11
11
01
10
10
11
01
00
11
11
10
11
01
01
10
11
00
01
01
11
11
10
11
00
10
00
00
11
10
01
10
10
00
00
00
10
00
10
00
00
10
00
00
00
11
00
01
10
10
10
01
11
11
00
00
10
01
10
10
01
00
10
11
10
01
00
11
10
00
10
11
00
01
10
01
10
00
01
10
10
10
11
00
10
00
00
01
10
10
00
00
10
10
10
00
11
10
10
10
01
00
00
10
01
00
00
00
10
01
11
01
00
10
10
00
00
11
00
10
10
00
11
00
01
00
01
11
10
11
00
10
10
10
01
01
10
10
10
01
11
10
11
01
00
00
00
11
11
00
00
00
01
10
10
01
00
10
01
10
10
10
10
00
01
01
10
10
00
10
00
10
00
10
11
00
00
01
10
00
00
10
01
01
10
00
11
10
11
00
10
00
10
10
00
11
11
11
00
00
10
10
10
11
00
01
00
11
10
00
01
10
01
00
11
00
00
10
10
01
10
10
00
01
00
01
11
11
01
11
11
00
00
00
01
11
10
00
00
00
10
00
10
11
10
00
00
10
11
00
01
00
11
11
01
01
00
10
11
10
00
00
11
10
00
10
01
10
11
00
11
00
11
00
00
00
00
00
10
10
00
01
10
01
00
11
10
01
11
01
01
00
10
10
01
10
10
01
01
10
10
00
01
11
01
11
11
00
00
10
01
00
10
10
01
00
00
10
00
10
11
11
00
01
10
10
11
01
10
10
00
10
00
10
00
00
01
10
10
00
01
11
10
01
01
01
00
00
00
00
10
10
01
00
10
10
10
10
11
01
00
00
00
11
10
01
00
11
10
00
00
11
11
00
10
11
00
00
01
00
10
01
00
11
00
10
11
10
10
11
10
11
11
10
01
00
11
01
00
10
00
10
11
10
00
00
10
10
11
01
10
00
00
11
00
00
10
10
00
01
10
10
00
11
01
11
10
11
10
10
01
00
11
10
01
00
00
00
00
10
10
11
00
10
00
10
01
01
00
00
10
00
11
00
11
10
00
11
00
10
10
10
01
00
10
10
10
10
00
11
10
10
11
10
01
00
00
10
00
11
01
01
10
00
00
11
01
00
01
11
00
10
11
00
00
10
10
10
10
00
10
10
01
10
10
11
11
01
01
10
10
11
01
00
10
10
00
10
00
00
01
01
00
10
00
10
10
00
00
10
10
00
01
10
00
01
10
00
11
10
01
00
10
00
00
11
11
11
00
01
01
10
00
01
10
11
11
10
00
00
00
00
10
10
00
01
11
11
01
10
10
01
00
01
00
10
00
10
01
00
10
10
01
00
00
00
10
10
00
10
10
01
10
11
00
01
10
10
01
00
00
10
11
01
10
10
01
11
11
01
10
10
00
00
10
10
10
01
00
10
00
00
11
01
11
10
00
10
01
10
10
11
00
00
10
01
00
10
10
01
11
00
10
00
00
10
00
11
00
00
10
10
00
10
00
00
10
00
10
10
00
01
10
00
11
00
10
00
11
00
10
10
01
10
10
01
00
11
11
00
01
11
10
01
10
10
00
10
10
10
00
00
11
00
00
01
10
10
00
00
10
10
11
00
00
00
00
10
00
00
10
11
11
11
10
00
10
11
01
01
11
10
10
01
11
00
11
11
01
00
10
11
10
01
00
10
00
00
00
00
10
00
10
00
00
01
11
10
10
00
10
11
00
00
10
10
00
10
10
01
00
00
10
00
00
11
10
10
00
01
10
10
11
01
01
10
01
00
11
01
10
00
00
10
11
00
01
11
11
00
11
00
00
01
10
00
10
01
00
00
11
10
11
01
00
01
01
00
00
01
10
01
00
00
00
11
01
00
11
11
00
00
00
01
01
00
10
11
10
10
00
10
00
01
11
00
00
11
11
00
10
00
11
11
00
11
10
10
00
00
10
11
00
10
00
00
10
10
10
00
01
00
10
01
10
00
10
00
00
00
10
10
11
10
10
00
11
01
00
01
10
00
10
00
00
00
10
10
01
10
10
00
00
00
11
00
00
01
00
00
10
10
00
10
11
00
10
00
00
00
10
10
10
10
00
00
10
00
00
00
00
10
11
00
10
10
00
10
11
00
01
01
11
01
10
10
01
10
10
01
10
10
01
10
00
01
11
00
00
10
10
00
01
01
00
11
10
10
00
00
10
10
00
00
00
11
00
10
01
11
00
10
00
00
00
11
11
00
01
10
10
00
00
10
10
00
10
01
10
11
10
01
10
01
01
00
00
00
00
10
10
00
01
10
01
11
00
10
00
10
00
11
10
00
00
00
10
10
11
10
01
10
01
10
10
00
10
11
00
10
01
00
11
11
00
01
11
00
00
11
10
00
11
10
01
00
00
11
10
00
01
00
10
11
00
10
01
01
01
01
10
10
00
01
10
01
10
11
00
10
00
00
10
11
00
01
10
10
01
00
10
01
01
11
00
10
00
11
10
01
10
11
10
01
10
00
10
00
01
10
10
00
01
01
10
00
00
10
11
10
10
11
01
00
10
10
00
10
10
10
00
00
10
10
00
00
11
11
11
11
00
00
10
00
01
11
11
00
11
10
00
10
10
00
00
00
10
00
00
10
11
00
10
10
01
11
10
00
01
10
11
10
00
00
00
11
11
00
10
10
11
00
00
00
10
01
11
10
00
10
11
01
01
10
11
01
10
00
01
00
11
10
00
10
00
00
11
00
00
11
00
01
01
10
00
10
10
00
10
11
00
00
10
00
00
00
11
10
11
10
00
00
11
01
00
00
11
00
10
11
00
00
10
11
01
00
11
10
11
00
11
00
01
00
01
10
10
11
10
11
01
10
11
01
00
10
10
00
11
10
00
00
01
10
10
00
10
00
00
00
11
00
00
00
01
10
00
00
00
01
10
00
00
10
11
01
10
00
01
10
01
11
10
11
01
00
00
10
11
10
11
01
00
00
10
00
11
00
00
10
00
01
00
01
10
01
10
11
10
11
10
10
10
00
11
10
10
01
10
01
00
00
10
10
11
00
01
11
00
00
10
10
00
11
11
11
00
10
00
01
00
00
11
00
00
10
01
10
10
10
01
01
00
01
11
10
10
00
11
11
00
00
00
00
10
01
00
11
11
11
00
10
00
11
11
01
00
00
01
00
10
10
10
00
01
10
10
01
00
10
00
01
10
01
00
10
01
00
00
10
00
00
10
10
00
11
00
11
00
10
10
11
10
00
10
10
11
10
10
11
11
00
10
10
00
01
10
01
00
00
00
00
01
01
10
10
11
00
00
11
10
00
01
10
01
00
00
10
00
00
00
00
00
10
11
00
01
00
00
00
00
00
10
10
11
01
10
00
00
10
11
00
00
11
10
00
10
11
01
01
00
00
10
10
00
01
10
11
00
11
10
00
00
10
11
01
11
11
00
00
10
10
10
00
00
10
11
01
10
10
10
01
00
11
10
00
00
10
00
00
10
11
00
10
10
01
11
10
01
10
01
00
00
10
10
01
00
01
00
01
00
10
01
10
00
11
00
00
10
00
00
10
00
01
10
11
10
00
11
01
10
00
00
11
10
11
00
00
01
01
00
11
00
00
10
10
01
00
10
10
10
00
11
10
00
11
10
11
10
00
00
00
00
10
10
11
01
11
10
11
11
10
01
01
11
10
01
00
00
11
10
10
00
00
10
00
10
10
11
01
00
11
01
10
00
11
10
00
01
10
10
11
10
10
10
00
00
10
11
00
01
00
01
10
10
11
01
00
11
00
01
11
11
01
10
11
00
00
10
00
01
10
11
01
10
10
11
10
01
11
11
11
01
00
01
10
10
00
01
10
11
00
00
11
11
10
10
10
11
10
10
01
00
10
10
00
01
10
10
01
11
11
10
00
00
00
00
11
00
10
10
10
01
00
10
10
10
10
00
00
10
11
11
00
01
00
10
00
11
10
00
00
11
11
10
10
01
10
01
01
10
11
00
00
00
10
10
11
01
00
10
11
10
10
10
10
00
10
00
00
10
00
10
10
10
01
01
11
00
01
01
10
10
00
10
01
11
10
11
10
10
11
00
11
01
11
01
11
01
01
11
00
11
10
01
00
00
01
10
10
00
00
11
10
01
00
00
00
00
11
10
01
01
10
10
00
00
11
00
01
10
10
10
00
10
01
10
11
10
10
10
10
01
00
10
10
10
11
11
00
10
11
00
11
10
10
00
01
01
11
11
11
00
00
00
00
00
10
10
01
01
00
00
10
00
10
00
00
11
00
00
10
01
11
00
00
10
00
10
10
00
00
10
10
10
00
00
10
10
00
01
01
11
10
00
00
00
00
10
11
00
11
00
11
11
00
01
10
11
01
10
11
00
11
10
00
00
10
00
00
01
10
00
00
10
00
11
10
10
10
10
00
00
11
11
00
01
00
00
10
00
11
10
10
01
01
01
00
10
10
10
00
00
10
10
11
00
00
11
01
11
00
00
01
10
00
10
10
11
10
00
10
10
01
00
11
10
10
00
11
10
01
00
00
01
10
01
00
00
11
10
10
00
01
10
01
00
10
00
00
00
10
01
01
00
01
10
11
11
00
00
01
01
10
00
00
11
00
01
11
10
00
10
10
11
10
01
10
00
11
11
10
10
00
00
11
10
00
11
10
01
01
10
11
00
01
00
00
11
11
10
00
00
10
10
11
11
10
10
10
00
00
00
10
00
01
10
00
00
11
00
10
10
00
10
01
11
10
11
10
11
10
10
01
01
10
10
00
00
00
00
11
10
10
00
11
10
01
00
11
01
00
00
00
11
00
00
10
10
01
00
11
10
00
01
10
10
00
01
11
11
00
00
00
00
10
00
10
10
00
10
10
10
10
00
11
00
00
10
00
00
11
00
10
00
01
11
00
11
00
01
00
10
10
10
10
00
10
11
10
01
01
11
10
00
00
10
00
00
11
10
10
10
11
10
10
01
00
00
10
11
00
10
10
11
11
00
00
01
00
00
10
01
10
00
01
01
00
00
00
10
00
00
10
01
00
00
00
10
10
01
00
11
10
00
01
00
00
10
10
00
10
01
00
10
01
10
11
01
00
10
01
00
11
10
00
01
10
00
10
00
00
00
10
10
01
11
00
00
00
10
11
10
00
10
11
10
00
00
10
10
00
10
00
01
10
00
00
10
00
00
11
10
00
00
00
00
00
10
00
01
10
10
10
00
11
10
10
01
10
01
01
11
10
11
01
00
00
01
11
11
00
00
10
10
01
10
11
00
10
00
00
11
00
10
00
01
00
10
00
10
10
00
00
01
00
01
10
00
11
10
10
10
00
10
00
00
11
10
01
00
01
10
00
11
01
00
10
11
00
00
00
00
10
10
00
00
11
11
10
00
00
10
01
10
10
10
00
10
10
10
00
00
00
01
00
00
10
10
00
10
11
10
00
00
10
00
00
00
10
11
10
00
00
00
00
10
10
10
00
00
11
01
10
11
00
10
00
00
00
10
11
00
01
10
11
10
00
00
10
11
01
10
11
01
10
10
00
01
10
10
00
10
01
00
01
10
10
00
11
10
00
00
10
10
10
10
01
01
00
01
10
11
00
10
11
01
00
11
10
11
00
00
00
00
00
11
10
11
11
00
00
10
00
11
10
00
10
10
00
00
00
10
10
10
10
00
11
11
11
00
10
10
00
11
00
00
10
01
10
01
10
10
01
00
11
10
00
01
00
10
01
00
10
10
00
11
11
01
10
00
11
00
10
01
00
01
10
10
00
10
00
10
00
10
01
11
10
10
10
00
10
01
00
01
10
11
10
10
11
00
00
01
10
11
00
01
00
00
01
00
10
01
11
11
10
11
00
01
00
10
10
11
11
00
01
00
10
00
10
00
00
10
10
10
00
10
01
11
00
01
10
00
10
01
00
11
11
11
00
10
00
10
00
00
10
00
11
11
01
00
10
11
10
10
10
01
00
00
01
01
01
10
11
01
11
00
00
11
11
10
11
00
01
11
10
01
00
01
10
11
01
10
10
00
00
10
00
00
10
00
10
00
00
00
00
10
10
00
10
00
11
11
00
00
00
10
00
01
10
00
00
10
11
10
01
01
00
10
10
10
11
00
01
00
10
00
01
10
11
10
01
00
01
10
01
01
10
01
00
00
10
00
00
10
10
00
00
11
00
01
11
11
01
11
11
11
00
00
00
00
11
11
10
00
10
10
10
00
11
00
01
00
10
00
10
00
10
11
11
10
01
11
01
11
11
00
10
10
00
10
11
00
00
00
11
01
01
10
11
10
10
00
01
10
11
00
00
01
11
11
00
01
01
00
10
01
10
01
10
00
01
10
11
11
01
00
00
10
10
00
00
10
00
01
00
00
11
00
00
01
10
00
00
10
11
10
00
00
10
10
11
10
01
10
10
00
10
11
00
01
01
01
10
11
10
00
10
10
10
00
00
01
10
11
10
10
10
00
01
10
00
00
00
10
11
00
00
00
10
10
11
10
00
10
01
00
00
10
10
10
01
01
10
00
01
01
11
00
00
00
11
10
00
11
11
00
01
00
11
00
01
10
10
00
00
10
11
00
00
11
00
11
11
00
00
11
11
00
00
11
01
01
01
10
00
01
10
00
11
10
10
00
00
00
11
11
00
00
11
01
01
00
00
00
10
00
00
11
00
10
10
00
11
00
10
00
11
01
00
10
11
00
10
10
10
01
01
01
00
10
00
11
10
00
00
10
10
11
10
00
01
00
01
11
11
10
00
10
01
00
11
01
01
11
10
01
00
00
10
01
01
10
11
00
01
10
01
00
10
10
00
10
10
10
00
10
11
10
10
10
11
00
00
11
11
00
00
11
00
00
10
11
10
00
00
10
00
11
10
00
00
11
10
00
10
00
10
01
10
11
00
00
00
00
10
00
00
11
00
10
10
10
00
00
10
10
00
00
00
00
10
00
01
01
11
00
10
01
10
10
00
01
00
11
01
00
10
11
11
10
10
01
00
10
01
01
10
01
10
11
00
00
01
00
01
11
10
00
10
11
00
01
01
00
10
10
01
11
10
01
10
00
10
10
01
01
00
11
00
10
11
10
00
01
00
10
01
10
00
10
10
10
11
01
01
00
11
00
00
10
10
11
00
01
10
01
00
11
11
00
11
00
00
00
00
10
00
00
10
10
00
00
11
00
01
10
10
01
11
11
01
00
10
10
11
01
10
10
00
01
10
10
10
10
00
11
00
10
00
00
01
01
11
11
11
01
00
11
11
11
01
00
00
10
10
00
00
10
10
00
00
00
10
00
00
01
10
01
01
10
10
00
10
10
10
10
01
00
01
01
10
00
10
00
10
10
00
11
11
01
10
00
00
00
01
01
01
11
11
00
00
01
10
10
00
00
11
10
01
01
11
10
00
10
00
00
10
01
00
10
01
11
10
01
00
11
10
10
11
11
11
00
01
00
01
00
00
10
00
01
01
11
10
00
10
00
10
01
11
00
11
10
00
10
11
11
11
10
00
10
01
11
10
01
00
10
00
11
11
10
10
01
00
00
10
10
00
00
01
00
10
00
11
01
01
10
11
00
10
10
10
10
00
00
01
00
10
01
01
00
10
10
00
11
00
01
10
10
00
00
10
10
00
00
10
10
10
00
00
00
00
01
10
10
01
11
10
11
00
11
00
10
10
00
01
10
11
01
01
11
11
01
10
11
00
10
11
00
00
00
11
10
10
10
00
00
11
00
10
10
01
00
00
01
10
10
01
00
00
11
10
11
11
01
10
11
10
00
01
10
10
01
10
10
10
01
10
00
00
01
11
11
01
01
00
00
10
00
00
10
11
01
11
11
10
00
00
10
10
00
00
10
01
01
01
10
10
00
00
00
10
00
00
11
11
11
01
01
00
00
10
00
00
10
10
10
10
01
10
10
00
00
00
10
01
00
10
11
11
00
10
10
00
00
01
00
00
11
11
11
11
00
00
10
00
00
01
11
00
01
01
11
00
11
00
00
00
11
10
00
01
01
10
10
10
00
10
10
00
01
00
10
11
10
10
00
10
10
00
00
00
11
10
00
10
10
10
11
00
11
00
00
11
01
10
11
10
10
00
01
11
01
01
00
00
10
11
11
00
11
10
00
00
10
10
00
00
10
10
10
00
10
00
10
01
00
10
00
00
10
10
11
01
11
00
01
10
00
11
00
01
00
00
10
00
00
01
10
01
01
11
00
11
11
00
00
00
00
10
00
01
10
11
00
01
11
00
00
10
10
01
11
11
01
10
01
10
00
01
10
11
01
00
00
00
10
10
01
10
10
00
00
01
10
10
10
00
00
10
10
00
10
10
00
01
00
11
01
00
10
00
00
01
11
01
10
00
00
11
11
00
00
11
11
01
11
00
00
00
01
10
00
01
11
00
11
11
01
00
01
00
01
11
11
10
01
00
10
10
01
00
11
10
00
00
11
01
01
11
10
00
00
11
10
01
11
11
01
10
11
01
00
11
10
00
00
01
10
00
00
10
01
10
10
11
10
10
11
00
00
00
00
01
10
11
10
10
10
01
11
11
00
01
11
01
01
10
00
00
00
00
11
10
00
10
10
10
00
10
11
00
00
00
11
01
10
10
10
00
10
01
01
10
00
01
00
01
00
10
10
00
11
10
10
01
00
01
00
00
00
10
00
01
11
10
10
01
00
10
00
01
11
10
10
00
11
11
10
00
00
10
10
00
00
10
10
00
10
10
00
00
10
10
10
00
01
01
00
10
00
11
10
00
10
10
01
00
10
00
10
00
01
10
11
01
00
10
01
01
10
10
11
00
10
10
00
00
01
10
10
00
00
10
11
10
00
10
01
00
00
10
01
00
00
11
11
00
10
00
01
10
11
10
10
11
00
10
10
00
00
10
00
01
10
10
01
01
01
10
11
00
10
10
00
00
00
10
10
00
10
01
10
00
10
01
10
01
00
00
11
10
00
11
01
00
01
10
00
11
00
00
10
10
01
10
01
00
00
10
10
00
10
00
00
11
00
00
11
00
11
11
10
00
00
11
00
00
11
10
11
11
00
01
10
10
10
11
01
00
10
10
00
00
00
10
10
11
00
00
10
00
00
11
00
10
10
00
10
01
01
00
00
00
10
11
00
11
00
00
01
00
00
10
11
10
11
01
10
00
01
00
10
10
01
10
11
00
01
00
01
10
10
01
00
10
10
00
00
10
10
00
00
10
00
10
11
10
10
11
00
00
01
00
10
00
10
10
00
00
10
11
01
10
10
10
00
00
01
10
00
01
10
11
00
11
11
00
10
10
01
11
00
00
11
00
10
00
01
10
10
01
01
00
10
11
11
10
10
01
10
11
10
01
00
10
10
10
10
10
00
11
00
10
01
11
11
00
00
00
01
10
00
00
10
10
00
00
10
00
00
10
00
01
00
00
10
10
01
01
10
01
00
10
11
11
10
00
01
10
01
10
11
01
00
11
10
01
00
10
10
10
01
00
00
10
00
01
10
00
00
10
11
11
11
00
11
00
00
10
00
10
10
00
11
10
00
00
01
01
00
00
00
01
01
11
10
10
11
00
10
00
00
00
00
11
11
11
01
00
00
00
00
10
10
00
01
10
10
00
01
00
01
00
10
10
00
00
10
10
01
10
01
00
10
10
10
10
11
11
01
00
11
10
11
01
10
01
00
00
10
11
01
10
00
00
00
10
00
10
11
01
10
00
01
10
00
01
10
10
00
00
10
01
00
10
10
00
10
10
00
10
00
00
10
11
00
10
10
01
10
10
00
00
10
10
10
11
10
00
00
10
00
10
00
00
10
11
11
11
00
10
00
10
00
00
10
11
00
00
10
01
00
01
10
01
00
11
00
10
10
00
01
00
01
01
10
11
10
00
01
01
00
11
10
00
00
11
01
11
10
01
11
00
11
10
11
00
10
10
01
00
11
00
00
00
00
00
10
00
00
10
11
10
00
10
00
00
00
00
11
01
01
10
11
10
11
01
11
01
01
10
11
11
10
10
10
00
00
11
00
01
00
10
10
10
10
00
10
10
01
10
00
10
10
11
00
10
11
00
01
00
01
11
01
00
00
00
10
11
00
10
00
01
10
10
10
11
10
10
11
01
10
00
00
11
10
01
00
00
10
00
10
10
11
10
00
00
01
00
10
10
10
11
00
00
01
00
01
00
10
10
00
00
11
11
10
10
01
00
00
01
01
11
11
00
00
10
00
01
01
10
11
00
11
00
11
10
10
11
00
11
10
10
01
11
10
01
11
10
00
00
01
10
11
01
10
01
00
01
00
01
11
11
00
00
10
10
10
00
10
00
00
10
11
01
00
10
00
10
10
00
10
10
10
00
10
11
10
10
11
00
10
10
01
00
01
11
11
00
01
00
10
11
00
00
10
00
10
01
00
10
10
10
00
10
01
10
11
00
00
11
10
00
00
00
00
00
01
10
11
11
10
11
00
00
00
10
10
00
01
10
10
11
01
00
01
10
01
00
10
00
00
00
10
10
00
01
10
01
01
01
11
10
00
10
10
00
01
11
10
10
00
00
11
10
00
01
11
10
00
00
11
10
01
11
10
00
00
01
00
00
10
10
01
00
10
11
10
01
10
01
10
11
00
10
00
11
00
00
11
00
00
10
01
11
11
01
11
10
00
00
10
10
10
01
01
11
01
10
10
01
00
11
10
00
00
11
10
00
11
01
11
10
10
11
10
10
11
10
00
10
11
00
00
11
10
00
10
10
00
11
10
11
00
10
00
00
10
10
01
00
00
00
10
10
00
10
11
00
00
10
10
00
00
01
10
01
11
00
00
11
10
11
10
01
00
00
00
10
10
00
11
11
01
01
00
01
10
00
11
10
01
00
00
10
00
01
10
01
00
11
00
01
11
00
00
11
11
01
00
10
10
00
01
10
01
00
10
00
00
10
10
10
10
10
11
01
00
11
10
10
00
00
11
11
10
00
10
10
00
00
00
11
11
11
11
01
01
00
01
11
10
01
01
11
10
01
10
11
01
10
10
00
00
10
10
00
00
00
00
10
01
10
00
00
00
01
10
10
10
01
10
11
00
00
01
10
11
10
00
01
00
01
10
10
00
00
00
10
10
10
11
10
00
00
10
01
10
00
01
10
00
11
10
00
00
01
10
11
00
10
10
00
11
10
00
11
10
10
00
00
00
00
01
10
00
10
00
00
10
00
00
10
11
00
10
10
10
10
11
10
01
00
01
01
10
11
00
00
11
10
01
10
01
00
10
10
01
00
10
00
00
10
11
11
00
11
11
11
00
11
10
00
11
01
11
11
01
00
01
00
00
00
10
10
10
11
00
10
10
10
10
00
10
10
01
11
00
11
01
11
00
00
10
01
00
10
00
10
00
00
10
00
10
10
00
10
00
10
00
01
00
01
10
10
01
01
11
00
00
11
10
10
10
00
00
10
00
00
10
11
10
11
00
01
11
01
10
00
01
10
10
00
00
11
00
00
00
00
00
01
00
11
00
00
00
10
10
00
10
10
00
11
11
10
00
01
00
10
00
10
01
11
10
01
00
10
10
10
10
10
11
00
11
10
01
00
10
00
00
00
10
00
10
11
10
10
11
10
10
11
10
11
10
10
00
00
11
10
01
01
01
00
11
11
00
00
00
00
01
10
11
10
11
11
11
11
00
01
11
00
01
10
00
10
10
01
10
01
10
10
00
10
00
00
10
10
10
01
10
00
00
10
01
10
10
00
00
11
00
10
11
10
11
11
11
00
11
00
00
00
10
00
11
11
00
10
01
00
00
11
11
01
11
11
11
10
01
01
00
11
10
00
11
00
11
10
11
00
11
10
00
10
10
00
01
00
11
10
11
00
10
10
10
00
00
10
01
00
11
10
00
11
11
00
10
10
00
00
00
00
10
10
01
00
00
11
00
00
11
10
00
01
00
10
10
10
01
00
01
00
10
10
10
00
00
10
01
01
00
11
10
11
00
11
10
00
00
10
10
01
00
11
10
10
11
11
00
10
00
00
10
11
01
11
10
00
00
10
10
11
00
00
10
11
00
10
11
00
01
00
11
10
00
10
11
01
00
10
11
11
00
00
00
10
00
00
00
11
11
01
00
00
01
00
11
00
10
10
10
10
00
01
01
11
10
10
10
00
01
00
11
11
00
00
10
00
10
00
00
00
01
11
00
10
00
11
00
00
10
00
00
01
00
10
10
00
10
00
10
10
01
00
00
10
00
00
00
10
10
10
00
01
00
11
00
11
10
10
01
10
00
10
11
00
01
11
00
10
01
10
00
00
10
01
10
00
10
01
00
10
00
00
11
11
11
00
00
10
10
01
00
00
10
11
00
00
00
00
10
00
10
10
10
10
01
11
00
00
00
00
10
10
01
00
10
10
01
10
00
10
11
01
10
10
00
00
00
01
10
10
10
00
10
11
10
00
01
10
00
11
00
00
00
11
10
10
01
10
00
10
10
00
11
00
01
10
00
00
10
11
10
01
00
00
10
10
00
00
00
11
00
00
01
10
00
10
00
10
01
10
00
11
00
00
10
00
01
10
11
00
00
01
11
00
01
10
10
10
00
10
00
00
11
10
01
10
00
10
10
11
00
10
10
10
01
00
10
00
10
10
11
10
10
10
11
10
10
10
01
11
10
11
00
11
11
11
00
01
10
11
10
00
01
01
10
10
00
00
10
01
00
10
11
11
11
00
10
00
10
11
01
00
11
11
01
00
11
01
11
11
00
00
11
10
00
01
10
10
11
00
11
10
01
01
01
11
01
00
11
10
00
00
11
10
00
00
10
00
11
01
10
10
10
10
00
00
00
00
11
10
00
00
00
10
10
01
10
10
01
00
00
10
10
10
00
11
00
10
10
10
10
10
10
00
01
01
11
10
00
11
11
00
01
00
11
10
10
10
01
11
10
10
00
11
01
10
00
01
10
10
00
11
01
10
10
01
10
10
00
00
00
11
00
11
10
11
00
01
10
01
10
10
00
00
10
00
10
11
00
00
10
00
11
11
01
00
00
11
01
01
00
00
10
10
10
00
10
00
01
11
01
10
10
10
00
01
01
00
11
10
00
11
00
00
01
10
11
00
10
00
11
10
00
01
00
10
00
00
01
01
10
01
10
10
11
10
10
11
01
00
01
10
10
01
00
10
01
10
10
01
00
10
10
00
10
10
10
00
00
10
00
11
00
10
00
00
10
00
01
10
11
00
00
01
11
01
00
11
01
10
10
01
10
11
11
00
10
00
00
00
10
10
00
10
00
01
00
10
11
10
00
00
01
10
11
10
11
01
01
10
00
10
11
01
01
11
00
01
10
11
00
10
10
00
00
01
10
10
00
01
10
00
00
10
11
00
01
10
00
10
00
10
00
01
10
10
01
10
00
11
00
11
00
01
10
00
00
00
01
10
10
00
11
10
01
01
01
01
01
11
11
10
00
10
10
10
10
00
10
00
00
10
01
10
01
01
11
00
00
00
00
10
10
00
00
10
10
10
11
00
10
10
00
11
10
01
01
00
00
10
00
00
11
10
10
00
00
11
00
10
00
10
11
01
11
01
11
11
10
01
10
00
01
11
10
11
10
00
00
00
11
10
01
10
01
01
11
11
00
10
11
00
10
10
01
10
10
01
10
11
10
01
00
00
11
11
00
00
11
10
00
01
11
11
10
01
11
00
10
11
01
00
00
11
00
10
10
00
00
01
10
11
00
01
10
11
10
01
11
11
00
01
10
11
00
00
10
01
11
10
01
01
00
10
00
10
10
00
00
00
10
11
11
10
10
10
10
00
10
10
01
10
11
10
10
10
11
00
00
10
10
10
00
10
10
00
11
00
10
00
00
10
00
01
10
10
11
11
11
10
11
00
01
10
11
00
00
11
10
00
00
10
10
01
01
10
00
00
11
11
10
00
00
11
11
00
00
10
00
10
00
00
10
11
00
00
10
10
00
01
10
00
11
11
01
10
01
11
10
01
11
11
00
10
00
01
11
10
11
00
11
00
00
00
11
00
00
00
11
10
00
11
00
10
00
00
10
00
00
10
10
10
10
00
11
10
11
00
00
00
01
11
10
10
10
10
01
00
11
00
00
10
00
00
00
00
10
00
10
00
10
00
00
01
00
10
01
10
11
00
10
01
00
01
10
00
00
00
11
00
01
10
10
10
00
10
10
00
10
11
01
10
10
10
10
11
00
01
10
10
01
00
00
10
10
11
01
10
11
00
11
10
00
01
01
00
10
01
00
10
00
00
11
10
10
01
10
00
11
11
10
10
01
00
10
10
00
11
11
11
01
10
10
00
11
00
10
10
10
10
11
01
00
10
10
10
00
11
01
01
10
10
10
10
11
10
10
00
01
01
01
10
11
10
00
01
00
00
10
10
00
00
11
10
11
00
10
11
00
00
00
01
11
11
10
10
10
11
10
00
10
00
11
01
00
10
00
10
10
01
00
10
10
10
00
10
00
00
10
00
00
01
10
01
11
11
11
10
00
11
11
10
01
00
01
11
00
10
10
11
00
10
10
01
11
00
00
11
01
01
00
01
11
10
00
10
10
00
00
01
00
10
10
10
10
10
01
01
00
10
00
00
00
10
00
11
01
10
11
10
11
00
00
10
10
00
01
10
10
10
00
10
11
00
10
00
00
10
10
11
10
11
00
00
11
10
11
10
01
00
01
10
10
11
01
10
00
10
01
10
00
11
11
00
11
10
00
00
00
01
11
00
10
00
00
11
11
00
11
00
10
10
11
00
01
00
11
10
10
10
10
10
10
11
00
00
11
10
00
00
10
10
10
00
10
10
11
10
10
00
10
10
00
10
00
10
00
00
11
10
10
11
01
10
00
10
11
11
00
10
00
01
00
01
11
11
00
01
01
00
01
10
11
01
01
00
10
00
00
10
10
10
01
01
11
00
11
10
01
11
10
11
01
11
11
11
01
00
10
10
10
01
00
10
01
01
10
11
01
00
01
01
10
10
10
01
00
10
11
01
00
11
10
10
00
10
00
10
10
11
10
00
10
10
00
00
00
11
00
11
10
01
11
10
01
10
00
00
11
10
10
11
01
01
00
00
11
00
10
00
10
10
10
00
00
01
00
10
10
11
00
00
00
10
10
10
10
11
00
01
01
00
11
10
01
11
10
00
10
10
00
10
10
00
00
01
00
00
11
10
11
10
10
10
00
10
00
00
11
10
01
01
00
00
00
11
11
10
00
10
00
01
11
00
11
01
11
10
00
00
10
10
00
10
10
01
01
10
00
10
00
10
00
00
11
01
01
10
10
01
10
11
10
11
00
00
00
10
01
11
11
00
01
10
00
01
10
10
00
10
10
11
10
00
00
00
10
01
00
10
10
11
11
00
11
00
10
00
11
10
10
00
00
10
11
10
11
11
01
01
10
10
10
00
00
00
11
10
00
00
10
10
11
00
10
11
00
10
11
00
00
00
11
10
01
00
00
11
10
11
10
01
11
11
00
11
10
10
10
01
01
00
10
10
10
11
00
01
10
10
00
10
00
11
00
00
10
10
11
00
00
10
10
01
00
11
11
10
01
11
11
00
01
11
10
00
00
10
10
10
01
00
10
00
11
01
01
00
10
00
11
10
10
00
00
00
10
00
11
10
11
00
00
11
10
00
01
10
11
11
01
10
01
00
00
11
11
11
00
10
11
00
01
00
01
10
01
00
00
01
10
00
11
01
01
10
00
11
11
11
11
00
01
00
11
10
00
00
11
00
00
11
11
01
00
01
01
10
10
00
00
00
11
10
00
00
10
10
11
10
11
11
01
01
01
11
00
11
10
00
10
10
10
01
11
00
01
00
10
01
01
10
00
00
11
01
01
01
00
01
00
10
10
11
01
11
10
01
00
01
11
00
00
10
01
01
11
10
10
10
00
11
11
10
10
00
10
11
00
00
11
10
01
10
01
01
10
11
00
10
10
10
00
11
11
10
01
11
10
00
10
11
00
00
10
00
10
11
01
00
00
11
11
00
10
10
01
10
10
00
00
00
10
10
11
11
10
01
10
00
00
01
10
10
00
00
11
11
10
00
00
11
01
01
00
10
00
01
10
10
10
01
10
00
00
01
00
10
01
00
00
00
00
10
11
10
00
10
01
01
00
10
11
00
01
11
10
00
10
01
01
10
10
10
00
11
10
00
01
10
00
00
10
10
10
00
10
00
00
00
01
11
10
11
10
10
11
10
01
10
11
00
00
00
11
10
00
01
10
01
01
10
00
10
00
10
00
00
10
00
00
00
10
10
00
10
00
01
00
10
10
00
00
01
10
00
11
10
01
00
10
11
10
00
11
00
01
01
00
10
11
01
11
10
00
00
00
11
10
00
00
10
10
11
11
10
01
00
00
10
00
01
10
10
00
00
00
10
00
10
11
00
11
11
01
10
00
11
11
10
00
00
11
01
01
10
10
10
11
01
00
10
00
10
10
10
11
01
11
11
01
00
11
11
00
01
11
10
00
10
10
11
01
00
10
00
00
01
00
00
00
00
00
00
10
10
11
00
10
11
10
00
00
00
10
10
00
01
10
01
00
00
10
10
10
10
00
01
10
10
00
10
01
11
10
01
10
00
10
00
11
10
00
00
00
00
00
11
00
10
10
01
01
10
01
00
11
10
11
10
10
00
00
01
10
00
00
01
10
10
11
00
00
00
10
00
10
00
01
10
10
10
00
01
11
10
10
00
01
00
00
01
10
00
00
01
00
10
10
10
11
00
10
10
00
00
10
00
00
10
00
00
00
01
00
11
00
00
01
10
11
00
01
11
00
10
00
00
10
11
01
11
00
01
10
00
00
10
10
00
01
10
10
10
10
00
10
01
11
11
01
00
00
00
00
01
11
10
10
00
01
10
01
01
10
10
00
10
11
11
00
01
10
00
10
11
10
01
11
10
11
10
00
10
11
00
00
01
11
01
11
01
00
10
10
00
00
10
10
10
11
00
10
00
01
01
00
10
10
00
10
10
10
00
00
10
11
10
00
00
11
10
01
10
10
01
01
10
10
10
00
11
00
00
10
11
00
10
11
10
00
11
11
00
00
10
10
00
00
01
10
00
10
10
00
00
00
10
10
01
11
10
00
11
00
10
11
10
01
00
00
10
01
10
10
01
10
00
00
10
00
11
10
10
01
10
01
10
10
11
00
01
00
01
10
10
01
10
00
01
11
11
01
01
11
01
00
00
00
10
10
00
11
10
01
01
01
00
10
00
01
11
10
01
01
00
10
00
01
00
11
11
10
01
01
10
01
00
11
00
11
00
10
10
01
00
10
00
00
11
11
00
01
00
00
10
11
11
00
01
10
11
00
10
10
10
01
01
10
10
10
10
00
00
10
01
10
00
00
01
00
10
10
01
10
11
00
01
01
10
01
00
10
10
10
00
00
11
00
11
10
01
11
10
00
11
11
00
01
11
10
01
00
00
10
00
00
10
10
00
01
00
00
11
10
10
01
10
10
11
00
01
10
00
10
00
01
10
00
00
11
11
01
00
10
10
00
10
00
00
10
10
00
00
10
00
10
00
10
10
10
00
00
00
00
00
00
00
10
10
01
10
11
11
00
00
10
10
00
00
10
10
10
11
10
10
01
10
01
00
00
10
10
10
11
10
11
10
00
10
10
11
00
11
01
11
11
00
10
11
11
00
11
10
01
00
11
00
00
11
10
10
10
00
00
00
10
01
00
10
10
00
00
10
11
11
11
00
11
10
01
00
10
01
00
01
10
10
00
00
10
11
01
00
00
10
10
00
11
01
00
01
10
10
00
11
10
00
00
01
11
10
10
11
00
11
11
10
00
00
00
00
10
11
00
11
00
10
01
10
10
00
00
10
10
00
00
00
10
10
00
10
00
10
00
00
11
00
10
01
00
11
11
10
01
10
00
10
01
10
10
00
00
10
11
00
01
00
01
10
00
11
11
00
00
10
01
10
11
01
10
00
00
11
01
10
01
10
11
00
11
01
00
10
00
00
10
11
00
01
11
00
00
01
00
10
01
01
10
00
00
11
10
01
11
10
10
01
00
00
00
11
01
10
10
00
11
11
01
11
10
00
10
10
01
00
10
10
01
10
00
00
01
01
10
10
10
11
00
01
00
10
10
11
01
00
10
01
00
11
01
10
00
00
10
10
00
00
10
11
10
00
11
00
01
11
10
00
10
11
00
00
00
11
10
10
00
01
00
00
10
10
11
01
11
10
01
00
10
00
00
11
11
10
10
00
01
00
00
11
00
11
10
10
00
00
01
00
10
11
00
10
11
10
10
10
10
01
11
00
01
10
00
00
10
11
00
11
11
10
10
10
01
01
00
01
10
00
10
11
01
00
00
10
11
00
10
00
00
10
11
10
10
11
00
11
01
00
10
00
10
11
10
10
01
10
11
10
01
01
10
10
01
10
00
10
11
10
11
00
00
00
01
10
10
10
10
10
10
10
10
00
00
00
00
01
11
00
11
10
00
00
00
01
11
11
00
10
10
01
00
01
10
10
10
00
00
10
11
01
00
01
00
11
00
00
10
11
00
10
01
01
00
00
11
01
00
11
10
00
01
00
11
10
00
01
00
11
00
01
10
10
11
00
11
10
11
01
11
00
00
00
10
10
00
00
10
01
00
10
10
10
11
10
10
00
10
11
00
11
00
11
11
11
11
01
00
00
00
11
10
00
00
11
00
10
00
10
11
00
11
10
00
10
10
00
00
11
11
11
10
10
10
10
11
00
01
10
10
10
00
00
11
00
00
11
01
11
01
00
10
00
00
11
00
10
11
01
00
10
11
10
00
01
11
11
10
00
00
00
01
00
00
10
10
00
00
01
10
00
10
10
10
10
00
01
11
10
00
10
10
10
10
10
01
00
01
10
10
11
00
11
00
10
10
01
00
11
11
00
10
01
10
00
10
11
00
00
00
11
00
00
10
10
10
01
10
10
10
10
00
01
10
00
10
10
01
01
11
00
01
00
10
01
01
11
10
10
11
10
11
00
00
10
01
00
00
10
11
01
00
00
11
00
00
10
11
10
01
10
01
10
00
00
10
00
00
00
10
10
10
00
00
10
10
01
00
00
01
10
00
00
00
10
01
10
00
00
00
00
11
10
10
10
00
00
10
10
00
00
10
10
00
01
00
00
10
01
00
00
00
01
10
10
10
11
01
11
10
00
00
00
00
10
11
01
01
11
00
10
01
11
00
01
01
10
01
10
10
00
10
11
10
11
01
10
01
00
00
11
00
01
01
00
10
10
10
01
00
10
11
01
00
00
01
10
11
11
10
10
10
01
01
00
00
10
10
10
11
00
00
01
11
11
10
11
11
01
10
10
01
00
10
11
10
00
11
00
11
10
01
10
11
00
10
00
00
00
10
00
10
11
10
00
10
00
01
00
11
10
01
00
11
01
11
11
00
00
11
10
11
10
00
00
11
00
11
00
10
00
00
01
11
10
00
00
10
11
00
01
00
10
10
00
00
10
00
11
10
10
10
11
00
11
00
01
00
11
11
00
11
10
11
00
01
00
11
01
01
11
01
01
00
00
10
10
00
00
10
11
00
01
10
10
10
01
00
11
10
00
00
01
00
10
00
00
11
01
10
10
00
10
01
00
00
01
00
01
10
00
00
10
00
10
10
00
10
00
01
10
10
00
01
00
11
10
00
00
10
10
00
01
11
11
00
10
00
10
01
11
11
10
00
00
11
00
00
00
01
00
11
00
10
10
01
00
11
00
00
11
01
00
00
01
10
00
10
10
10
01
00
10
00
01
00
11
01
10
01
00
00
10
00
00
10
00
00
11
10
00
10
10
00
10
10
01
10
10
01
10
10
00
11
10
10
01
10
00
00
10
10
10
01
01
01
10
10
10
01
00
00
00
11
10
00
11
10
10
00
10
10
00
10
10
10
00
10
10
10
00
01
00
10
01
01
10
10
10
10
10
00
00
11
10
10
01
01
10
01
00
00
00
00
00
11
10
00
10
11
11
00
01
10
11
01
00
11
10
11
00
01
10
10
00
10
10
00
01
10
10
01
10
11
10
00
00
00
01
01
10
11
00
00
00
00
00
00
10
01
10
10
00
00
10
00
01
10
10
11
01
01
10
10
01
10
01
10
10
00
10
00
10
01
10
01
00
01
10
11
10
00
00
10
11
01
01
11
10
01
10
10
00
11
00
00
10
00
10
10
00
11
10
10
00
11
00
00
11
01
01
10
10
00
11
10
11
00
01
11
00
10
10
10
01
11
00
11
10
01
11
01
01
00
10
11
00
10
00
00
11
11
00
01
10
00
01
01
11
10
00
00
00
01
00
11
00
10
10
01
01
00
01
10
11
10
10
00
10
10
00
00
00
00
00
10
10
10
10
01
01
01
01
11
00
00
00
00
11
11
01
10
11
10
11
10
00
00
10
11
01
00
11
10
01
10
00
01
11
00
01
00
10
00
01
01
11
10
00
00
00
00
10
00
11
00
10
00
00
10
10
00
00
10
10
11
10
10
01
10
10
00
01
10
10
01
00
00
00
10
10
10
11
11
00
00
01
10
11
00
11
10
01
01
00
01
10
00
01
11
10
00
00
11
10
01
00
11
00
00
01
11
10
10
10
00
11
01
00
10
00
11
10
00
10
00
00
01
11
01
01
00
10
10
00
11
01
10
00
01
00
00
00
00
11
10
00
10
10
00
10
00
00
01
00
11
11
00
10
10
00
00
01
00
11
10
01
11
11
00
00
00
11
10
10
11
01
10
11
10
10
00
00
00
00
00
01
00
00
11
00
10
10
10
10
01
01
00
10
00
00
00
00
10
11
11
01
01
10
01
01
01
01
11
11
00
10
00
00
01
11
11
10
01
10
10
10
10
10
01
00
10
10
01
10
00
00
00
10
00
00
10
00
10
00
01
11
00
01
11
10
00
01
11
00
00
10
00
10
00
00
11
10
00
11
10
10
01
00
10
00
00
10
01
00
10
00
00
00
00
01
01
10
01
10
01
01
11
10
01
00
00
01
10
01
10
10
00
11
11
10
10
00
10
00
00
10
10
01
00
00
01
00
10
00
00
10
10
10
10
11
00
10
10
00
01
10
10
01
00
10
11
11
01
00
11
11
10
01
11
11
00
01
10
10
10
00
00
01
01
01
01
10
10
10
00
00
10
10
10
01
10
00
01
01
10
11
01
00
10
01
00
11
11
10
00
00
11
11
11
00
00
11
01
00
01
01
11
11
11
00
01
10
11
00
10
01
00
10
00
11
01
11
11
01
01
00
10
00
00
11
01
00
10
00
11
00
00
11
11
10
00
11
01
01
00
00
10
10
01
10
00
00
10
00
10
00
11
10
00
01
00
01
01
01
10
10
11
10
10
10
00
01
10
01
00
00
10
00
10
11
00
01
10
10
01
10
00
10
10
10
00
11
10
01
01
11
00
01
10
11
10
01
10
10
00
11
11
00
11
00
10
10
10
01
10
10
01
01
11
01
00
00
10
00
11
11
00
11
00
00
00
00
10
00
10
11
10
10
00
01
00
11
11
00
10
10
00
00
10
10
10
10
00
00
10
10
00
01
10
00
00
11
00
11
00
00
00
10
10
01
10
10
10
11
00
00
10
00
10
10
11
10
10
00
10
11
00
00
01
00
10
00
10
10
00
11
10
01
11
10
00
01
00
00
00
10
11
00
00
10
10
00
10
00
00
11
11
01
10
00
10
01
10
10
01
01
10
00
00
10
10
11
11
00
11
10
00
00
01
10
10
10
00
10
10
11
00
00
11
11
00
00
00
00
10
01
10
10
00
10
01
00
10
10
10
10
00
00
00
11
00
11
00
01
00
00
00
10
10
11
11
01
01
10
11
10
00
10
10
01
00
11
10
00
00
10
11
10
00
00
01
10
00
00
00
11
11
00
10
11
11
10
10
10
00
00
10
01
10
00
00
10
11
00
01
10
10
00
01
01
11
10
00
00
10
10
10
11
00
00
11
00
00
11
00
00
10
10
01
10
11
00
11
10
10
00
01
10
01
10
10
00
11
00
00
10
10
01
11
01
00
01
00
00
00
10
01
01
00
00
00
11
00
11
01
01
11
10
00
00
00
11
10
11
01
01
10
01
01
10
10
00
10
11
00
00
00
00
10
00
11
11
00
10
10
00
10
00
00
10
10
10
00
00
11
11
10
00
01
11
00
10
00
01
10
10
10
10
01
01
00
10
01
11
10
11
01
00
10
10
10
01
10
10
00
00
00
10
10
01
10
10
00
00
10
01
00
10
10
00
00
11
10
10
11
10
00
01
10
00
10
00
01
00
01
10
01
11
10
01
00
11
11
01
00
11
00
01
10
00
11
10
01
01
00
01
00
10
10
00
00
11
10
11
10
11
10
10
00
01
11
10
10
01
00
10
00
10
00
11
01
00
11
10
00
10
00
01
00
01
10
11
00
00
10
01
10
10
01
00
00
10
00
10
00
00
10
00
10
00
01
11
11
10
10
10
10
10
01
10
01
10
11
01
00
11
10
11
01
00
00
10
10
01
10
01
10
00
10
10
10
11
00
00
00
10
10
10
10
00
10
00
00
10
10
00
10
10
00
01
01
11
00
10
10
01
00
11
10
01
10
01
00
10
10
00
00
10
00
00
00
01
10
11
11
01
00
11
10
00
01
10
00
00
10
10
11
00
00
10
10
10
01
00
10
01
00
11
10
10
10
11
10
10
00
01
00
11
01
01
00
00
00
10
10
00
00
11
00
00
01
00
10
00
11
10
00
10
10
10
10
01
00
11
01
01
01
01
01
00
01
11
00
00
11
11
00
01
00
10
00
01
01
10
10
11
10
00
10
01
10
10
00
00
10
10
10
10
00
11
00
11
00
00
00
10
10
00
10
01
00
10
10
10
10
10
00
01
11
00
10
11
10
10
01
11
00
10
11
00
01
10
11
00
00
00
00
00
10
10
01
11
10
10
01
10
10
10
11
01
01
00
11
11
00
01
00
00
01
10
10
11
00
00
00
00
11
00
01
11
10
00
10
01
11
10
11
00
00
00
10
10
01
00
11
00
00
11
11
10
00
00
10
11
00
10
00
01
11
10
01
00
10
11
00
01
01
11
10
10
00
11
00
00
10
11
01
01
11
00
00
00
10
10
01
11
11
11
10
10
00
00
10
01
00
01
00
11
00
10
11
10
01
00
10
10
01
00
01
01
00
00
11
11
00
11
11
01
10
01
10
11
10
00
00
10
10
00
01
10
10
10
00
00
00
01
10
10
10
01
10
01
00
11
11
00
01
10
00
01
10
00
00
00
10
00
10
11
10
01
00
10
10
11
00
10
10
01
00
11
10
00
01
11
10
11
01
00
00
10
11
10
10
10
10
11
01
00
10
11
01
00
00
00
01
10
01
01
11
11
00
10
10
00
10
01
10
10
01
10
00
00
01
00
10
10
00
10
10
01
00
00
01
01
01
00
10
10
11
11
10
01
01
01
01
01
10
11
01
01
10
10
00
00
01
10
00
00
10
10
11
01
10
01
00
00
10
00
10
00
01
10
11
10
10
11
00
10
00
11
10
00
01
00
10
00
00
10
10
00
11
01
10
10
10
10
01
00
11
10
00
00
01
10
00
10
11
00
11
01
10
00
00
10
11
00
01
00
11
00
10
01
01
11
10
11
01
00
10
10
10
10
11
00
10
00
00
01
00
01
11
01
10
00
10
11
11
01
00
10
10
11
00
00
00
10
00
00
10
11
01
11
10
00
10
00
00
10
11
00
10
10
01
10
11
00
00
01
11
00
01
10
00
10
01
10
10
00
10
00
00
10
10
10
01
00
11
10
01
01
11
01
11
10
10
10
01
10
11
00
00
10
10
00
01
10
11
00
00
10
10
00
00
11
11
00
00
00
10
11
00
10
00
00
10
00
00
00
00
10
10
01
00
00
01
11
00
11
10
01
00
10
11
10
00
10
00
11
10
00
10
10
01
00
00
10
00
01
10
10
10
11
00
00
10
10
01
01
00
10
01
00
11
01
00
00
10
11
11
00
01
00
11
01
01
10
00
00
10
10
00
11
10
01
01
00
11
01
01
00
10
11
00
00
00
11
10
11
11
01
00
01
10
01
11
10
00
00
00
10
10
10
01
10
11
00
01
00
10
00
01
10
10
10
00
10
10
11
01
11
11
10
10
10
10
10
00
01
11
10
01
00
10
00
10
10
11
10
00
11
10
10
10
00
00
00
10
00
00
10
11
10
00
10
10
10
00
10
00
11
10
01
00
10
10
01
01
10
10
00
10
11
10
00
10
11
10
10
00
00
10
11
00
10
00
01
11
01
10
11
10
10
01
01
00
10
00
01
10
10
00
01
11
10
10
10
01
00
00
10
10
10
00
01
01
01
10
11
10
10
11
01
00
00
11
10
11
00
00
10
10
01
00
00
10
01
00
00
10
00
01
01
00
10
01
00
01
10
00
01
10
10
10
10
00
10
01
01
11
11
00
00
11
11
01
00
01
10
00
10
01
10
10
10
00
00
00
10
00
10
10
10
00
00
11
10
10
10
00
10
00
00
00
10
10
11
10
11
11
11
01
11
00
11
10
00
00
10
11
00
10
00
10
00
00
01
10
00
00
10
00
11
00
00
00
00
01
10
00
00
11
11
10
11
00
11
11
01
01
00
01
10
10
01
10
01
00
00
11
10
00
00
10
11
11
11
01
11
10
00
10
00
01
11
10
00
11
10
10
10
10
11
01
00
00
10
10
00
11
11
10
00
01
10
00
11
00
10
10
00
10
10
11
00
11
01
10
10
11
10
00
00
11
10
10
00
00
01
10
10
00
00
10
11
00
11
10
11
11
00
00
11
01
00
00
10
00
00
10
11
11
00
10
01
00
11
10
01
00
00
11
10
10
00
10
10
10
10
00
10
00
10
01
11
10
01
10
10
00
10
00
00
00
10
10
10
11
11
10
10
10
10
00
01
00
10
11
01
00
00
11
10
00
00
00
10
01
00
10
00
00
00
00
00
10
00
00
00
01
10
10
11
10
01
00
10
00
00
10
10
01
00
00
11
10
01
00
00
00
11
10
01
10
10
10
10
10
00
11
11
10
00
10
10
00
00
10
10
01
10
00
10
00
10
10
10
00
00
10
01
11
10
01
00
11
00
00
10
11
11
01
10
10
01
10
10
10
01
00
01
11
10
00
10
10
10
01
00
11
10
00
11
10
10
00
11
00
01
10
11
10
10
00
00
10
10
00
00
00
10
11
00
10
10
01
00
01
00
10
00
00
00
01
10
10
00
00
00
10
11
01
10
11
00
11
00
00
00
10
00
00
11
10
10
01
10
10
00
10
11
11
01
01
00
11
01
00
00
00
10
10
00
00
00
01
11
00
00
01
11
01
10
11
01
11
10
00
11
10
11
00
00
10
10
01
10
00
10
10
01
00
01
10
01
10
10
00
00
10
01
10
00
01
10
11
10
11
10
11
10
01
00
10
10
00
01
00
01
10
10
00
00
00
01
00
10
10
00
00
10
00
00
01
10
00
00
10
00
10
10
11
01
10
01
10
01
00
10
10
00
11
10
10
01
00
00
10
11
10
00
00
10
00
10
00
11
11
00
00
00
11
01
10
00
00
00
00
00
10
11
10
10
00
00
00
00
00
01
00
00
01
00
00
10
01
00
00
10
00
10
11
01
10
10
10
00
00
00
10
10
00
00
10
00
01
01
00
11
00
00
00
00
10
00
00
10
00
00
01
10
11
10
01
00
10
01
11
10
00
01
11
00
00
00
01
10
01
01
00
00
01
10
10
00
11
10
11
00
00
10
00
01
00
10
10
10
10
00
00
11
11
01
00
11
10
00
01
11
11
01
00
10
10
00
00
01
11
10
10
11
00
10
10
01
00
00
10
10
00
10
11
01
01
01
01
00
11
00
00
00
10
10
00
00
00
10
11
10
00
10
00
01
10
11
00
11
00
01
00
11
00
00
10
00
10
10
11
11
00
00
10
00
00
00
10
10
11
10
00
11
11
01
10
11
11
00
11
10
01
00
00
10
11
00
00
00
11
00
10
10
10
10
00
10
10
10
10
10
00
10
11
00
00
11
10
10
00
01
10
10
00
01
11
10
10
00
00
10
10
11
10
01
01
10
00
10
11
00
01
00
10
11
00
00
00
10
11
11
11
10
10
00
11
00
10
10
00
00
10
00
10
10
00
00
10
00
10
00
11
10
00
10
11
01
00
01
01
10
00
00
10
10
00
11
00
01
10
10
00
00
00
00
00
11
10
01
11
11
01
11
01
00
00
11
00
01
10
10
00
01
10
00
01
11
11
01
00
10
10
11
10
00
01
00
11
00
01
10
10
10
00
01
10
11
00
11
10
10
00
01
00
11
10
00
01
11
11
00
01
10
10
00
01
10
00
11
11
10
00
10
10
10
10
01
01
11
00
10
00
10
11
01
00
10
01
00
10
11
00
00
11
00
01
11
01
10
00
01
01
00
11
10
01
00
00
01
11
01
00
11
00
00
10
11
00
01
10
00
10
11
00
00
10
10
10
00
10
10
10
01
00
00
00
10
00
00
11
10
00
10
01
00
10
10
11
00
11
00
10
10
10
00
00
10
11
11
00
00
10
10
11
00
10
00
10
10
11
00
10
10
00
00
00
10
01
00
11
00
10
00
10
10
00
10
10
10
10
11
01
00
10
10
00
01
10
11
01
10
10
10
11
01
11
11
01
10
11
00
11
01
00
11
10
11
00
01
10
01
10
10
00
01
10
00
10
10
00
01
10
10
00
01
10
10
10
00
10
10
10
10
01
01
00
01
10
10
00
11
11
00
00
10
01
00
11
01
11
10
00
10
00
11
00
01
10
00
00
01
00
00
11
10
11
10
10
10
00
10
00
00
11
10
00
00
10
10
00
10
10
01
01
00
10
00
01
10
01
11
00
01
11
01
10
10
00
00
10
00
10
11
00
11
00
11
10
10
11
00
01
10
00
00
10
10
01
01
10
01
11
10
10
00
11
00
01
00
11
11
01
00
01
01
10
01
00
11
10
01
00
01
10
11
10
01
10
10
10
00
01
11
10
00
00
10
11
11
00
00
00
00
01
11
10
00
11
01
11
10
00
10
00
00
01
00
10
00
00
00
00
00
00
10
00
00
00
00
10
10
00
00
10
11
01
10
01
00
10
10
01
01
00
10
00
10
01
10
10
10
00
10
00
01
01
11
10
11
10
11
10
01
00
10
00
01
00
11
00
00
10
10
01
11
00
00
00
11
00
01
00
10
00
00
01
01
00
11
01
10
10
10
01
10
00
00
00
11
00
00
11
10
01
00
00
10
00
10
01
11
10
00
00
10
01
01
11
00
10
10
00
00
00
00
10
00
10
10
00
10
00
11
01
11
10
11
00
01
00
00
10
10
01
00
10
10
10
00
00
00
10
00
00
10
00
00
10
11
00
01
01
00
01
11
10
10
11
00
00
10
00
00
00
00
10
11
10
00
10
10
01
00
01
10
10
01
11
00
10
11
10
11
00
10
00
11
11
00
00
00
01
10
11
00
11
10
10
10
00
11
10
00
01
11
00
11
00
11
01
00
10
10
10
00
10
00
01
00
00
11
00
11
01
10
01
01
10
11
10
01
11
11
00
00
01
10
00
00
11
11
01
00
10
10
10
11
00
01
00
11
01
00
10
10
00
00
00
10
00
10
10
00
10
00
01
10
11
11
10
00
11
00
00
01
10
11
10
00
00
01
11
10
00
00
10
11
11
00
00
01
10
00
10
10
01
00
00
10
10
00
11
11
10
10
00
11
11
00
11
11
10
10
01
01
11
00
00
00
11
11
10
00
01
11
10
00
10
00
11
00
01
10
11
10
00
10
10
11
10
01
00
00
11
11
10
10
10
00
10
00
00
11
11
10
10
00
10
10
11
11
00
01
10
10
10
01
10
10
00
00
00
10
10
00
10
01
01
11
11
10
00
10
10
01
10
11
10
10
01
00
01
01
01
00
11
10
10
11
00
01
00
10
11
01
10
00
00
11
10
01
10
10
01
10
10
00
10
01
10
00
10
00
01
00
11
01
11
00
10
10
01
01
01
10
10
00
11
00
00
10
10
00
01
11
01
10
00
00
00
00
01
10
10
01
00
10
01
11
00
11
00
11
10
10
00
11
10
00
10
01
00
00
11
10
00
10
11
00
01
10
11
00
01
00
11
10
01
01
11
11
00
00
10
00
00
01
00
01
11
10
00
00
10
10
10
00
10
10
00
00
10
00
10
00
10
00
00
10
00
10
00
11
10
00
00
00
00
10
10
00
11
10
01
01
00
00
10
10
01
10
10
01
01
10
00
10
00
10
10
11
10
01
00
00
01
01
11
11
00
00
00
10
10
01
00
10
00
10
00
10
10
00
00
10
10
00
00
00
11
01
00
10
00
10
10
11
11
01
01
00
10
10
10
01
11
10
00
00
01
00
00
01
10
11
01
10
01
00
00
01
11
00
00
10
11
10
11
10
01
01
01
01
11
10
00
00
10
00
11
10
10
00
00
11
00
10
00
00
10
11
10
00
00
01
01
11
00
11
10
00
00
10
10
00
00
10
10
00
01
00
10
00
00
00
11
10
00
01
01
10
00
01
00
00
10
10
00
00
11
00
00
11
00
00
00
01
10
01
00
11
00
01
00
11
11
00
10
10
00
10
10
00
01
11
01
00
11
01
10
11
00
00
10
10
00
10
11
00
10
01
00
10
10
00
10
00
11
00
01
11
01
00
10
00
00
00
00
00
11
11
01
10
00
10
01
11
01
10
10
00
00
01
01
00
11
10
10
00
10
10
01
01
00
10
01
10
10
11
11
00
11
00
10
01
00
11
01
10
00
10
00
10
10
11
00
10
00
00
00
10
10
11
10
00
01
00
00
10
10
00
10
10
00
01
10
10
10
00
00
00
00
11
10
01
10
11
00
10
00
11
10
11
10
01
11
10
01
00
10
10
10
01
00
00
10
10
00
10
00
11
10
00
10
10
11
00
00
10
10
10
10
01
00
10
00
10
01
10
01
10
11
10
00
00
11
01
00
01
00
00
00
10
10
00
10
10
11
00
10
10
01
10
01
00
11
10
00
00
10
00
10
00
00
11
01
11
00
10
10
10
00
00
00
10
00
10
01
01
11
01
01
11
10
10
00
10
00
11
10
00
11
10
10
10
00
10
10
10
11
01
00
00
11
10
01
10
00
00
10
01
00
10
10
00
10
11
11
10
10
01
00
11
11
00
10
10
10
00
11
11
01
01
01
11
00
10
10
11
10
01
00
01
01
00
00
11
10
11
10
10
00
00
10
10
00
01
01
01
01
11
10
10
00
00
01
00
00
11
10
00
10
10
10
10
00
00
00
00
10
00
10
10
11
10
00
00
10
00
00
10
11
10
00
00
00
00
00
01
00
01
01
11
01
01
01
10
10
11
10
01
10
10
01
10
11
00
01
11
00
00
10
00
10
11
10
00
00
11
10
10
10
00
11
10
11
00
00
10
00
10
00
10
10
11
00
10
01
01
10
11
11
11
10
01
00
01
11
00
00
00
00
11
10
01
00
01
00
10
00
11
00
01
01
10
10
00
11
10
10
01
10
01
01
10
11
01
01
10
00
01
00
10
10
10
10
11
00
00
10
10
11
00
10
00
01
10
00
10
00
10
10
00
01
10
11
10
01
10
10
00
10
01
01
10
11
01
11
11
00
01
11
10
01
10
00
00
10
10
00
01
11
11
00
00
10
10
00
10
01
00
00
00
10
00
11
10
10
00
10
10
10
00
10
11
00
10
11
11
00
00
10
10
00
10
10
01
10
10
00
11
10
11
10
01
10
00
10
11
00
11
00
00
00
01
00
01
10
10
00
10
00
10
01
00
01
10
11
00
00
00
11
01
00
10
10
11
11
00
01
01
00
11
00
00
10
01
00
10
11
00
00
01
00
10
10
10
00
00
10
00
11
10
10
01
01
10
10
10
00
11
10
11
00
10
00
00
00
10
10
01
10
11
10
11
00
10
01
11
01
11
10
01
10
01
00
11
10
01
00
10
10
01
00
11
00
01
00
10
00
00
11
11
00
00
00
11
10
00
10
10
10
00
01
10
00
00
11
00
01
01
10
11
01
00
00
11
10
10
00
00
00
10
11
10
01
00
00
10
10
10
00
00
11
00
01
01
11
00
10
11
11
00
00
00
11
10
00
10
10
00
00
10
10
00
10
00
10
10
11
00
01
11
00
10
01
00
11
00
00
01
10
00
00
00
10
00
01
00
10
01
10
11
00
00
10
10
00
00
10
10
00
00
11
01
00
10
00
10
10
11
00
01
10
00
01
10
10
00
01
00
10
10
00
11
01
00
10
01
10
01
00
11
10
00
01
10
11
00
10
10
00
00
01
01
01
11
10
01
10
11
01
10
10
00
10
11
11
01
00
10
10
10
01
01
10
10
00
00
10
00
11
00
01
00
11
00
10
10
01
00
10
10
00
10
00
00
01
10
10
01
00
00
11
01
00
01
01
11
10
10
11
11
00
01
11
11
00
01
10
10
11
00
01
00
10
11
00
11
01
00
00
10
10
01
00
11
10
00
00
01
10
01
00
10
11
00
11
10
00
00
01
10
00
11
10
11
11
10
00
10
00
01
00
00
10
10
00
11
01
00
01
10
00
10
11
10
10
10
01
10
10
10
10
00
00
00
01
00
10
10
10
10
00
10
00
11
10
10
11
01
10
00
10
11
00
00
01
01
10
10
00
01
10
11
10
10
00
01
01
01
11
10
11
10
00
01
00
11
10
01
00
11
10
00
00
10
10
00
00
10
10
11
10
10
00
10
10
10
00
00
01
00
00
00
01
10
10
11
01
00
01
10
10
11
10
01
10
11
01
00
00
01
11
00
01
10
10
00
01
10
10
00
11
10
01
10
10
11
01
11
10
01
00
11
00
10
11
10
00
00
00
10
00
10
11
10
01
00
00
11
11
01
10
00
00
01
01
11
11
00
10
10
10
10
10
00
01
10
00
01
00
01
11
10
00
10
10
10
11
00
00
00
00
00
00
00
00
10
10
01
10
11
00
01
01
10
00
10
11
00
10
11
00
10
01
10
10
00
01
01
10
10
11
10
00
01
10
10
11
11
00
10
10
00
10
10
00
00
00
00
11
10
10
11
00
11
01
01
10
11
00
01
00
10
10
01
00
10
10
01
11
11
00
10
11
10
10
00
01
10
10
00
10
01
10
01
10
10
00
01
10
01
01
10
00
00
10
00
10
00
01
01
00
00
11
10
11
00
10
10
10
00
00
00
10
10
00
10
10
00
01
00
10
10
00
01
00
00
10
00
00
00
00
10
10
10
01
00
00
11
01
11
11
10
01
00
10
00
10
11
00
11
10
01
01
00
10
10
10
01
01
01
00
10
00
11
01
11
11
00
00
01
11
01
11
01
00
11
10
11
11
00
10
10
10
00
01
10
10
10
11
00
11
00
01
01
01
10
10
11
00
01
10
10
00
01
10
11
00
01
10
01
10
10
10
00
00
10
11
00
00
10
00
01
00
10
00
01
00
01
11
01
00
00
00
10
00
10
01
00
01
10
00
00
11
11
00
10
11
00
11
01
10
10
00
10
00
00
00
01
00
00
10
00
11
11
00
10
00
10
01
00
11
00
00
11
00
01
01
00
10
10
10
10
00
01
10
10
00
10
01
00
00
10
00
01
11
00
01
10
01
00
01
01
10
01
00
10
00
10
10
01
00
10
10
11
01
11
10
01
10
10
10
10
00
00
10
11
00
01
11
10
00
01
10
00
00
10
11
01
00
10
01
10
10
00
00
10
01
00
11
10
10
10
00
10
01
00
10
01
00
00
11
00
00
00
11
10
00
10
11
00
00
10
10
10
01
00
00
01
10
01
11
10
11
11
00
00
01
01
10
00
00
10
11
01
00
11
00
10
00
11
01
10
10
00
01
11
11
00
00
10
10
01
11
11
00
00
10
00
10
11
01
00
10
00
10
00
10
00
11
10
01
01
00
10
00
11
11
00
10
00
10
10
10
10
10
01
01
11
10
11
10
10
11
00
11
10
00
01
10
00
00
00
11
00
11
01
10
10
10
10
10
00
01
11
10
10
11
00
10
00
00
10
00
00
10
01
01
10
11
01
10
10
00
10
11
10
00
10
00
00
11
10
00
10
11
01
01
11
10
10
00
00
11
00
00
10
01
00
01
10
10
10
01
00
11
01
00
00
00
01
00
00
10
10
00
00
00
11
00
01
00
00
10
00
00
00
10
10
00
00
00
10
10
01
10
01
01
00
00
01
11
11
10
01
10
00
10
10
10
00
01
00
01
00
00
00
01
00
01
10
11
00
01
11
10
01
00
00
10
11
00
10
00
11
01
10
01
00
10
10
11
01
00
11
11
10
00
10
00
11
01
01
10
11
10
00
11
00
11
10
00
00
10
00
01
11
11
00
10
00
01
10
10
00
00
00
10
10
10
01
00
00
00
11
01
00
01
01
01
10
00
00
10
10
11
10
00
00
01
00
00
00
10
00
10
11
10
01
00
01
10
11
00
00
00
10
01
00
10
10
10
00
10
01
00
11
10
01
10
11
10
01
00
11
10
00
00
10
11
00
11
11
11
11
10
00
01
10
10
00
00
10
01
10
10
10
00
00
11
10
00
10
11
01
11
10
00
00
00
10
10
00
00
10
10
00
10
00
10
10
11
01
00
10
00
00
10
00
10
10
10
00
01
00
00
10
10
11
10
11
10
11
01
10
00
01
10
11
10
00
00
00
11
10
00
11
01
00
11
11
00
01
00
10
10
10
00
00
10
01
00
01
00
00
00
01
11
10
00
01
10
11
01
00
01
11
00
10
00
00
10
10
00
10
11
00
10
01
11
00
11
01
10
00
10
10
11
01
00
11
00
00
10
11
11
00
10
10
00
00
01
00
10
01
11
11
00
10
00
01
10
00
01
10
10
01
11
01
00
00
10
10
00
11
00
10
00
10
01
00
10
00
10
00
00
10
01
11
00
11
00
01
11
10
00
10
10
01
10
10
10
11
11
00
10
01
11
10
11
10
00
00
10
10
00
01
10
10
10
01
00
10
10
01
11
10
10
10
00
10
10
01
10
10
01
11
10
10
10
10
10
01
00
11
11
10
10
00
00
10
10
01
10
10
00
00
00
01
00
10
10
00
00
01
00
10
01
00
10
00
00
00
10
11
00
11
00
10
00
10
01
00
00
10
01
10
10
10
10
00
00
01
10
10
01
10
00
00
10
00
00
11
00
00
11
10
01
11
11
10
00
01
10
10
00
10
10
10
11
00
10
11
00
01
10
11
00
11
11
01
10
11
00
00
10
10
00
00
01
10
01
10
00
00
10
00
10
11
00
10
01
00
10
00
00
01
10
10
10
00
10
00
10
10
01
10
11
00
10
01
01
01
00
01
00
11
00
01
11
11
00
00
10
11
00
00
10
01
00
00
01
10
11
10
00
01
11
00
00
00
11
00
11
00
10
10
00
10
11
01
01
10
10
11
11
01
00
10
10
00
00
10
00
11
10
01
10
10
10
00
10
10
10
00
01
00
00
00
10
11
00
11
11
10
00
00
00
00
10
10
00
10
10
10
00
10
11
10
10
00
11
00
01
00
00
10
10
11
01
11
10
00
10
00
00
11
11
00
01
10
01
11
10
00
00
00
10
10
00
00
00
11
00
11
00
10
10
11
00
10
00
10
00
00
00
01
00
11
01
00
11
11
10
00
10
10
11
01
01
10
10
00
11
00
10
11
00
10
01
10
11
11
01
10
10
01
10
10
00
10
11
11
01
00
11
10
01
10
00
11
10
00
11
00
01
01
10
11
00
00
00
11
11
00
11
00
11
11
01
11
01
10
00
10
10
00
00
00
10
11
01
00
11
11
10
11
10
10
01
00
10
10
11
00
00
00
00
00
10
10
00
11
00
11
11
01
11
10
10
00
10
11
11
00
00
00
10
00
10
11
10
00
00
00
10
00
11
10
00
00
01
01
00
00
10
11
10
10
00
10
10
00
00
00
11
00
00
10
00
00
01
10
00
11
00
11
10
10
00
11
00
11
10
00
10
10
10
00
01
00
01
10
11
00
11
11
01
00
11
11
01
00
00
00
10
11
10
01
01
10
11
00
00
00
10
10
10
00
00
11
11
10
10
10
01
10
00
01
00
01
11
11
01
10
10
10
00
01
10
11
00
01
11
01
00
00
00
10
00
00
11
00
01
10
10
10
00
11
10
00
00
00
10
10
01
00
10
11
11
01
10
11
00
11
10
01
11
10
00
00
10
11
10
00
00
00
01
11
00
10
11
00
11
11
11
00
11
01
00
11
11
10
10
00
10
11
00
00
00
11
11
00
01
11
11
00
11
01
00
00
10
10
10
11
00
10
10
10
10
10
01
01
00
00
11
10
10
10
00
10
00
00
10
11
00
00
10
10
11
00
10
00
00
10
10
00
00
01
00
11
00
00
10
10
10
00
00
00
10
10
00
11
10
00
01
00
00
01
10
01
10
11
11
10
11
10
10
00
10
11
00
00
00
10
01
00
00
11
10
01
01
11
10
01
11
00
00
01
11
10
11
01
00
10
01
00
10
01
00
00
10
10
10
01
11
00
10
10
10
00
11
10
01
00
10
00
10
01
10
00
00
01
00
10
00
00
10
01
10
01
10
11
10
00
10
01
11
00
01
10
00
00
10
10
00
11
11
01
01
10
11
10
01
10
11
00
00
11
10
01
10
11
01
11
11
00
11
10
00
00
10
00
00
00
10
10
00
01
10
00
11
01
01
01
00
11
10
10
01
00
10
10
10
00
10
10
00
01
11
00
01
11
11
11
00
00
00
11
10
01
10
11
00
00
00
01
10
01
00
10
00
01
10
10
10
01
11
01
10
11
11
10
01
00
10
10
01
00
10
00
00
00
00
10
10
00
10
10
10
00
10
00
00
10
10
10
10
10
11
00
00
10
10
01
00
00
01
10
11
01
10
11
10
00
10
00
00
10
10
01
00
10
00
00
11
10
00
01
01
01
11
10
10
00
00
10
01
00
11
11
11
01
10
10
00
11
10
10
01
00
10
10
00
00
10
10
11
01
00
01
10
11
11
01
10
00
10
11
01
01
00
10
10
11
00
10
10
00
10
01
10
10
00
10
11
00
00
01
11
00
11
00
01
10
10
00
11
01
01
11
11
10
00
10
00
00
00
10
10
11
10
01
01
11
00
01
00
00
10
11
11
01
00
10
10
00
01
10
00
00
11
00
10
10
10
00
10
10
00
00
10
00
00
00
10
11
11
11
11
00
00
00
00
00
00
10
11
01
00
00
10
01
00
00
11
10
11
00
11
00
00
00
01
00
10
01
11
00
00
01
11
10
10
00
11
10
00
01
10
00
00
10
00
01
00
10
11
10
10
10
10
01
10
11
11
00
10
10
00
00
10
11
00
11
10
00
10
00
00
10
11
00
00
10
10
10
01
11
11
00
11
10
11
01
10
11
00
00
10
01
00
10
00
00
00
00
11
00
00
00
00
00
01
10
11
10
00
11
00
10
10
10
00
00
11
10
00
10
00
00
01
00
00
00
10
11
10
11
01
00
01
10
10
00
01
11
00
11
10
00
01
00
00
00
10
10
00
10
11
10
10
10
10
11
10
00
00
11
01
10
00
00
00
11
01
10
10
00
00
01
11
00
00
11
11
10
00
11
10
10
00
01
11
11
10
00
11
10
00
00
00
11
00
11
10
01
10
01
01
10
11
00
10
01
10
11
10
00
00
10
11
10
10
01
01
00
00
11
00
01
10
01
10
10
10
10
11
01
00
11
01
11
01
00
11
00
00
00
00
11
10
00
00
11
00
00
10
10
01
00
10
00
01
00
01
00
10
11
00
00
11
01
10
11
00
01
00
01
10
10
00
10
11
00
11
11
10
01
00
11
00
00
10
00
10
11
10
01
01
00
00
11
00
00
10
11
00
11
00
10
10
11
10
11
10
10
00
01
00
00
00
00
00
00
10
00
00
11
10
10
10
00
10
11
00
10
11
00
11
10
01
00
00
00
10
10
00
11
01
00
11
01
10
10
10
00
10
10
01
10
10
01
10
10
01
00
11
00
00
11
11
10
00
11
11
10
01
11
01
01
10
11
00
01
10
11
10
01
11
01
00
10
10
00
10
10
01
00
10
10
10
01
01
00
10
10
00
11
11
00
01
01
10
10
11
10
00
11
10
01
10
00
10
10
00
00
01
11
00
01
01
10
01
00
10
10
01
00
11
01
01
11
11
01
10
10
00
10
00
00
11
11
01
11
10
00
10
11
00
10
10
01
00
00
01
10
11
11
10
10
00
01
00
11
10
00
00
01
01
00
10
00
00
10
11
11
01
01
01
10
01
10
01
00
11
11
01
10
10
00
11
10
00
10
11
00
10
00
10
11
10
00
00
00
10
00
01
00
11
00
00
01
11
00
11
11
01
11
10
01
10
10
01
10
00
00
00
10
00
00
01
10
10
01
10
01
10
00
10
10
00
10
11
00
01
00
11
10
10
10
00
00
10
01
00
10
01
00
01
11
10
00
11
00
10
00
01
10
10
00
10
10
10
00
00
01
10
10
00
11
00
00
10
10
00
00
10
10
10
10
10
01
11
11
10
10
00
00
01
00
10
10
00
10
00
01
01
00
01
10
01
00
11
00
00
11
10
10
00
00
00
11
10
00
01
00
00
11
10
01
01
11
11
10
11
10
00
10
10
10
00
00
00
00
10
00
10
00
10
10
10
10
10
11
10
10
10
10
10
11
00
00
00
01
10
10
11
00
00
11
10
01
00
10
10
00
00
01
10
10
11
11
10
01
11
11
10
01
00
00
10
10
00
10
11
01
01
10
11
00
10
11
00
00
11
10
10
11
10
00
11
00
00
11
10
01
10
00
00
10
10
10
10
00
01
10
00
10
00
00
11
10
00
01
11
10
00
11
10
10
00
10
00
01
11
10
11
10
10
10
11
01
00
10
10
00
10
10
00
10
01
10
10
00
10
11
00
01
10
10
00
00
10
00
10
11
10
00
00
01
11
11
01
10
10
00
01
10
00
00
10
00
11
11
00
11
00
10
00
00
11
10
11
00
00
10
01
00
11
10
00
11
00
10
10
10
10
10
01
00
00
01
00
00
00
11
11
10
11
11
00
11
00
00
01
11
01
01
11
11
10
00
00
11
00
11
01
00
00
01
10
11
01
01
10
00
10
10
11
00
10
00
00
10
10
00
01
10
11
00
10
11
00
00
01
01
10
10
00
00
00
00
11
10
10
00
11
10
10
10
11
01
11
01
00
01
11
00
01
10
10
01
10
00
00
10
10
11
01
01
10
01
11
10
00
00
10
00
10
11
00
01
10
00
00
10
10
10
00
10
10
10
11
11
00
01
01
00
10
10
10
10
01
00
00
00
10
10
10
11
00
10
01
00
10
10
01
00
01
10
10
00
00
10
00
00
01
00
10
10
10
01
11
10
10
10
11
10
00
01
01
11
10
01
01
00
10
00
00
10
10
10
00
01
10
01
01
00
00
00
01
10
00
00
10
10
10
10
00
00
10
10
01
00
10
11
11
10
00
10
11
00
11
11
11
01
00
11
11
00
01
10
11
01
00
10
10
00
00
10
00
10
11
10
01
10
10
01
10
01
01
10
10
11
00
00
01
10
11
00
00
00
11
11
00
00
10
11
00
00
00
10
10
10
01
00
10
10
11
00
01
01
11
10
00
00
00
10
10
11
01
00
00
10
01
00
10
11
01
00
10
11
00
01
00
00
10
01
10
10
00
00
10
00
11
00
00
01
10
01
01
10
11
01
01
11
00
10
10
10
01
10
10
00
00
10
10
11
10
00
01
10
11
11
00
11
11
00
10
10
01
01
10
10
11
01
10
00
10
10
00
00
10
10
01
01
11
10
01
10
00
10
00
10
11
01
00
10
10
10
10
01
01
10
10
01
10
11
10
10
10
00
00
00
00
11
11
10
00
00
11
00
01
11
11
00
10
00
10
10
01
00
11
11
00
00
00
00
00
00
00
01
11
00
00
00
10
00
00
01
11
01
01
10
11
10
01
10
10
00
10
00
00
00
11
01
10
10
10
11
01
10
10
10
10
10
00
00
10
11
00
01
10
11
10
01
10
01
11
10
00
00
00
11
10
00
00
10
10
00
00
00
10
10
00
00
00
10
10
10
01
11
01
11
00
00
00
00
10
10
10
00
10
10
10
11
00
01
10
00
01
01
10
10
00
01
10
01
10
10
10
01
10
10
00
00
00
00
00
10
01
11
01
00
00
01
11
00
10
00
01
00
00
10
11
00
01
10
00
00
11
11
11
10
01
01
00
10
10
01
00
11
01
10
10
00
00
00
10
00
00
00
10
01
00
10
00
10
10
10
01
01
00
00
11
11
10
00
01
11
00
01
10
11
10
10
00
01
00
10
11
00
10
11
00
01
01
00
10
00
00
10
11
00
10
10
10
00
01
01
10
01
10
01
00
10
10
10
00
00
10
10
11
10
00
10
01
10
00
00
10
00
10
11
01
00
10
11
00
10
00
00
10
10
00
01
10
00
01
10
11
10
00
11
00
00
11
10
10
00
01
00
11
01
01
00
00
10
11
01
10
10
00
11
11
00
00
10
00
00
00
00
00
10
01
00
01
00
10
11
10
00
10
01
00
00
00
11
10
11
11
10
10
10
01
00
11
00
00
10
00
10
00
11
11
10
00
00
10
01
10
10
01
01
11
00
00
11
10
01
10
01
00
00
00
10
10
01
01
11
11
00
01
00
00
01
11
11
10
11
10
10
00
10
00
10
01
00
10
00
01
11
11
10
00
10
10
11
00
01
10
10
10
00
01
10
11
00
00
00
00
00
00
10
10
00
10
10
00
01
10
10
01
11
10
01
00
10
01
11
10
11
01
00
01
10
11
10
01
01
11
10
00
00
10
01
00
00
10
11
11
01
01
10
01
00
10
00
01
01
10
10
01
00
01
10
00
10
10
10
01
11
10
00
11
01
10
01
10
01
10
10
00
10
10
00
10
10
00
00
00
10
00
10
10
11
10
11
00
01
10
10
00
01
00
10
01
10
10
11
00
01
01
10
01
00
11
10
10
00
00
10
01
00
11
00
11
10
00
01
01
00
10
01
00
00
10
11
00
00
10
10
10
00
00
00
10
10
11
00
00
00
00
00
11
11
10
01
11
10
00
10
00
10
10
00
10
11
11
10
11
00
00
10
00
11
10
11
00
00
10
00
10
00
10
10
00
10
01
10
01
10
00
00
10
11
01
10
01
00
10
10
11
11
10
00
10
01
00
10
10
00
01
10
01
00
10
00
11
11
00
10
10
00
01
10
11
10
01
00
10
00
00
00
11
00
00
00
00
10
10
10
11
10
01
11
11
11
10
01
00
00
10
11
10
00
10
11
01
00
00
00
00
10
00
11
11
00
01
10
10
00
00
01
10
01
10
11
10
11
11
01
01
10
00
01
10
10
10
10
00
10
10
01
10
00
00
01
00
11
10
10
00
10
00
00
10
01
10
10
00
10
01
10
11
11
11
01
11
10
00
10
10
01
00
10
11
01
10
00
00
10
10
10
00
11
10
00
11
00
11
01
11
10
10
00
00
00
10
11
10
11
00
10
00
11
11
00
00
10
10
10
11
00
10
00
01
10
10
01
00
11
10
11
01
10
00
01
10
10
11
00
10
00
00
00
10
11
10
01
01
11
00
11
00
00
10
01
10
00
10
00
10
01
00
10
10
00
00
00
01
11
10
01
10
00
01
10
11
10
00
00
10
00
00
10
10
10
01
00
10
11
00
00
10
10
11
01
00
00
00
10
10
10
00
00
00
11
10
00
10
01
00
10
11
10
10
00
10
11
00
00
00
00
01
10
10
10
00
10
01
10
11
10
10
11
00
00
11
10
01
01
11
11
11
01
10
10
00
00
10
11
00
00
00
11
10
11
10
00
10
11
00
11
01
01
10
00
10
10
00
01
00
10
10
00
00
11
01
01
00
11
11
11
10
11
01
11
00
01
01
11
11
00
11
10
11
00
00
10
00
00
00
10
10
00
00
11
11
01
01
10
01
10
11
00
00
10
10
10
00
01
00
00
10
01
10
01
00
10
00
01
11
00
00
00
10
10
11
10
10
00
11
01
10
10
00
10
01
11
10
10
01
00
00
00
01
01
00
11
11
10
11
11
00
01
00
10
11
10
11
11
10
00
00
10
11
11
00
01
00
11
10
11
10
00
00
11
00
00
00
10
00
00
10
00
01
00
10
01
11
01
10
01
11
10
10
01
00
00
00
10
10
10
00
01
00
10
01
10
10
01
10
11
10
00
00
00
10
10
10
00
10
10
11
10
01
00
10
10
10
00
00
10
10
00
10
01
00
00
00
00
10
10
00
00
11
11
10
11
01
00
10
11
10
00
10
11
00
10
00
00
00
10
00
11
11
00
10
10
00
10
10
01
00
10
00
10
10
10
11
10
00
00
11
10
10
11
00
00
10
01
00
01
01
00
10
10
10
00
00
10
10
01
00
10
00
10
01
01
11
00
00
10
10
11
00
10
11
00
00
00
11
10
11
00
10
00
00
10
00
10
10
00
00
00
00
00
00
10
11
10
00
01
00
00
10
01
00
00
01
11
11
10
00
10
00
11
10
00
00
10
10
00
00
10
10
01
11
10
10
01
10
00
01
01
10
10
01
00
10
10
00
00
10
10
10
11
00
01
10
01
00
10
01
11
11
00
10
10
00
10
01
00
01
01
10
00
11
01
10
11
01
00
11
01
10
01
00
10
00
11
11
01
01
11
00
01
00
10
01
01
10
01
00
11
11
01
10
01
10
10
00
00
00
00
00
10
10
11
01
00
01
10
10
10
00
01
11
10
00
11
11
00
01
10
00
10
10
00
10
00
01
00
10
01
00
11
01
00
10
00
11
10
01
01
00
00
10
00
00
10
10
01
00
11
10
11
01
01
10
10
11
10
00
00
11
11
10
00
10
00
00
00
00
00
00
10
00
11
00
01
10
10
00
11
10
00
00
10
10
01
00
00
10
10
01
11
10
10
00
00
10
10
11
00
11
01
00
00
10
11
10
11
00
10
00
00
10
11
00
01
10
10
00
00
00
00
11
10
11
10
00
00
11
00
10
01
11
00
00
10
10
00
10
10
00
00
10
01
01
10
10
01
00
10
01
10
10
00
10
01
11
10
00
00
10
01
01
10
11
00
01
10
00
01
10
10
00
10
01
10
10
11
11
11
00
00
01
01
00
00
10
10
00
11
11
11
00
00
00
10
10
01
00
10
10
00
00
00
10
11
11
10
01
10
00
11
10
01
10
11
10
00
00
10
10
11
10
00
01
10
00
10
10
10
10
00
00
01
10
00
11
10
01
10
10
00
10
10
10
10
01
00
10
00
10
01
10
11
01
10
11
00
00
10
01
00
01
10
10
00
00
00
10
11
10
11
01
00
10
10
00
01
10
10
10
10
00
10
10
10
00
01
01
10
11
00
10
11
00
00
00
11
10
01
10
11
00
00
00
10
10
00
01
10
00
00
10
11
00
00
10
01
11
01
11
10
00
10
00
01
00
10
10
00
00
11
11
00
01
10
01
00
00
10
11
01
11
10
00
01
10
00
00
00
10
01
01
10
11
00
11
10
00
10
10
11
01
11
10
00
10
01
01
11
11
10
10
11
10
00
10
10
00
10
01
01
01
00
01
00
11
00
10
10
00
11
10
00
00
01
10
00
00
10
10
00
00
00
10
10
11
01
00
11
01
10
10
11
00
01
10
11
00
00
10
00
11
10
00
00
00
10
11
11
00
10
00
00
01
00
11
00
11
10
11
01
00
10
11
00
10
00
00
11
10
00
01
00
10
10
00
00
00
00
10
01
00
11
00
01
10
10
10
10
00
10
00
01
01
11
10
00
11
10
00
10
00
00
00
10
11
00
10
00
00
00
10
10
01
01
10
11
10
10
01
10
11
10
11
00
00
10
00
11
00
00
11
10
00
01
01
11
00
00
11
11
10
00
00
10
10
10
11
00
01
10
00
00
10
10
11
10
01
10
00
10
10
10
10
00
00
00
11
00
01
10
00
01
00
10
11
00
11
11
01
01
10
10
10
10
00
00
11
00
01
11
10
01
01
10
01
01
01
10
00
00
10
01
00
01
11
00
00
11
00
00
00
10
00
00
00
01
10
01
11
11
01
10
10
00
00
10
10
10
11
00
10
00
00
11
10
00
00
01
10
00
10
00
10
00
00
10
01
11
00
00
00
11
10
10
01
00
00
11
10
00
11
10
11
00
00
11
01
00
00
11
10
11
11
00
00
00
10
10
00
11
00
11
00
10
10
00
11
00
10
10
10
01
00
00
11
11
10
10
10
00
11
00
00
11
10
11
10
10
11
01
00
10
11
00
10
10
01
10
01
10
10
11
10
01
10
01
00
11
11
11
10
01
10
00
00
00
11
10
10
11
10
01
00
00
00
00
00
11
10
00
00
00
00
10
11
11
01
11
10
10
11
10
10
10
00
01
10
11
00
01
00
00
00
11
10
00
01
11
00
00
00
01
00
00
00
10
10
10
11
11
01
00
11
10
00
11
11
00
00
10
10
11
00
11
11
10
00
01
01
10
10
00
10
01
10
11
01
10
00
00
10
00
11
01
00
01
11
10
10
10
10
00
01
00
01
00
10
11
00
01
10
10
00
00
00
00
00
11
10
10
10
10
00
10
00
01
10
11
11
00
10
00
10
10
10
00
10
10
00
00
10
10
00
10
00
11
11
00
11
00
11
00
10
10
11
00
00
10
11
00
00
11
01
11
00
01
10
10
00
00
11
00
10
10
10
00
00
00
00
00
10
01
00
00
01
00
11
10
01
10
10
01
10
10
00
01
10
01
11
00
01
10
00
10
11
01
00
00
10
11
10
10
01
00
11
01
00
10
00
10
10
10
00
00
11
10
01
11
00
00
11
10
10
10
00
11
00
00
00
00
11
10
00
01
11
11
10
10
00
00
00
10
00
01
01
00
01
00
10
10
11
10
00
11
10
00
00
00
00
00
00
11
10
00
10
10
00
10
10
10
10
01
00
01
11
00
00
00
00
01
00
11
11
10
01
10
10
10
01
10
00
01
10
00
00
10
01
10
11
00
10
10
00
00
00
11
10
00
10
11
00
00
10
00
10
01
00
10
10
10
11
00
00
10
00
11
11
10
00
01
00
00
01
10
00
01
10
00
01
10
10
01
10
10
10
00
10
10
00
10
00
01
01
10
00
10
00
01
00
01
10
10
10
10
10
11
01
00
11
10
01
00
00
10
10
10
00
10
01
00
00
00
11
11
01
10
01
00
11
11
00
11
10
10
00
00
10
11
10
01
01
11
00
00
01
10
00
10
10
00
00
11
00
11
00
10
10
00
00
00
01
11
00
11
00
01
11
10
10
00
00
11
11
00
10
10
00
01
01
11
10
10
10
10
00
10
10
01
11
10
01
01
11
10
00
01
00
01
00
10
10
00
11
10
01
00
11
10
10
00
00
10
11
10
11
10
00
00
10
00
11
00
00
10
01
01
10
10
00
10
11
01
01
10
00
00
01
00
00
11
10
00
11
10
00
00
11
01
10
10
10
10
10
10
00
00
11
00
00
10
01
11
11
11
00
00
10
00
11
00
01
11
10
10
00
10
01
10
11
00
10
00
10
11
00
10
10
00
00
11
11
10
10
00
00
00
10
10
10
10
01
10
00
10
10
01
00
00
00
10
00
10
10
11
10
01
11
01
00
10
01
11
01
00
10
10
01
00
11
10
00
00
10
10
01
00
10
10
01
10
01
00
00
00
10
00
10
11
00
10
10
10
10
00
10
00
10
01
11
00
10
00
10
00
10
10
00
10
00
10
10
00
01
00
11
00
10
11
10
10
00
11
10
01
01
11
10
00
00
00
10
10
10
11
01
01
00
10
01
10
00
01
00
00
01
10
01
00
11
00
11
10
00
01
00
10
10
11
01
00
01
10
00
00
10
11
10
00
00
11
10
00
10
10
00
01
10
00
00
10
01
10
11
00
00
01
11
10
10
10
01
10
11
01
00
10
11
01
10
10
01
01
10
01
10
11
00
10
10
10
10
00
00
10
10
01
00
10
11
10
01
00
00
01
00
10
11
10
00
01
11
10
10
00
00
11
00
01
10
11
00
00
00
00
01
11
01
00
10
11
10
10
00
00
10
10
01
01
10
10
11
00
00
00
10
10
10
10
00
01
10
10
10
00
00
00
11
10
10
10
10
10
10
00
00
00
10
00
00
00
10
00
10
00
10
00
11
00
11
10
10
10
10
10
00
00
00
10
01
01
00
10
10
00
00
10
00
00
10
10
01
10
01
10
01
00
11
00
01
01
10
00
01
11
10
01
00
10
11
00
01
10
10
00
00
00
11
10
01
10
00
01
00
10
11
11
01
00
10
10
10
11
01
00
10
00
10
00
00
01
00
10
11
11
11
10
01
10
11
10
11
00
00
10
01
01
10
01
00
01
10
10
10
10
00
10
00
01
00
00
00
10
11
10
00
01
01
10
10
01
10
10
00
00
11
10
01
11
11
01
01
10
00
11
10
00
00
10
00
00
10
10
01
11
01
10
10
00
00
10
10
00
00
00
10
10
10
10
11
11
01
10
01
10
10
10
11
01
01
10
11
00
10
10
00
00
10
11
00
11
10
00
01
01
11
11
11
00
00
01
11
00
01
11
10
11
10
01
00
00
10
10
10
00
01
00
10
10
00
10
10
00
00
11
01
10
00
10
10
10
01
01
10
11
00
10
10
00
10
10
10
01
01
00
00
00
10
00
01
00
11
10
10
10
00
01
01
11
11
10
00
10
01
10
10
00
01
10
01
00
01
10
10
00
10
00
00
11
10
00
10
00
01
00
11
10
00
00
10
11
00
00
00
01
00
10
10
10
01
00
00
00
00
10
01
10
10
01
01
11
00
01
10
00
01
11
01
00
01
01
01
00
10
01
00
01
10
11
01
10
01
10
10
01
00
10
01
00
01
00
11
11
00
00
00
01
10
10
00
00
10
10
10
11
10
01
00
00
00
10
01
01
10
10
00
10
11
01
01
11
10
01
10
00
01
10
11
01
10
11
01
00
00
10
10
01
00
10
10
01
10
11
00
00
11
10
00
00
00
10
10
00
01
00
01
00
00
11
00
11
00
10
10
11
00
10
10
10
00
00
01
11
10
01
11
11
11
10
00
00
10
10
00
00
11
10
01
00
10
00
10
01
00
00
10
11
10
10
01
01
01
10
10
10
10
10
10
00
00
11
11
01
10
01
01
00
10
00
10
10
00
00
00
10
00
10
10
01
11
00
10
10
10
01
11
00
10
10
10
00
10
10
11
00
00
00
10
00
10
10
00
00
11
10
10
10
00
00
11
11
00
10
10
00
00
10
10
00
00
10
10
11
10
11
00
00
10
00
10
00
10
10
01
11
11
01
11
01
00
01
11
01
01
00
00
01
11
11
10
11
10
11
11
00
11
11
10
00
01
11
00
01
10
10
01
00
10
10
00
01
10
00
10
00
01
11
00
00
01
10
10
11
00
00
10
00
11
10
00
10
10
01
00
10
00
00
10
00
00
10
00
10
00
10
10
00
00
11
00
10
10
00
10
10
10
00
10
01
01
10
01
10
01
11
00
00
01
10
10
00
00
11
00
11
10
00
10
11
01
00
11
00
01
10
01
11
00
00
10
11
01
11
10
10
00
10
00
10
10
00
00
00
00
00
10
11
00
10
00
10
01
10
11
01
00
11
00
01
11
01
10
10
01
11
10
01
10
00
01
00
01
10
11
11
11
10
11
11
00
10
00
01
11
11
01
00
11
10
11
00
11
10
00
10
01
11
10
01
10
10
10
01
00
00
01
11
00
00
10
11
00
10
10
11
00
00
00
00
00
11
10
01
00
11
00
10
01
01
01
11
10
01
10
10
10
11
00
00
00
10
10
10
00
00
10
00
01
10
01
10
11
10
00
00
00
10
10
00
00
00
00
10
10
10
11
10
00
00
01
01
11
10
00
10
11
11
00
11
10
00
11
00
01
01
10
10
10
11
11
00
01
00
00
11
10
10
00
00
00
11
10
11
11
00
11
11
01
10
10
00
00
10
00
11
10
00
00
10
01
10
11
11
00
10
00
01
00
01
10
10
00
11
11
10
10
00
00
00
11
10
00
11
00
01
10
00
11
10
10
10
10
00
10
11
11
00
00
00
10
10
01
01
01
10
11
10
01
11
10
10
00
01
00
01
00
11
11
00
10
00
10
01
00
10
10
11
00
11
11
01
10
11
01
11
00
01
00
11
00
00
11
00
00
01
10
11
00
00
10
10
00
11
00
00
00
00
10
01
00
10
10
00
11
00
10
10
10
00
00
00
10
01
00
11
10
00
00
01
10
00
00
10
00
00
11
10
10
01
10
11
00
01
10
01
01
10
00
00
01
00
11
11
10
00
01
11
01
11
01
00
00
00
00
10
10
10
00
00
00
11
01
01
11
10
01
10
00
01
10
00
10
11
01
11
11
00
00
01
10
01
11
10
00
10
10
10
00
10
01
10
11
11
00
01
11
10
10
01
01
10
10
01
10
00
10
11
10
01
00
10
10
01
00
00
10
10
00
11
10
01
01
01
11
10
10
00
10
10
00
00
10
11
10
10
00
01
10
00
10
01
00
01
01
10
10
00
00
10
11
00
00
00
10
11
10
00
00
10
11
10
11
10
01
11
11
00
10
10
10
10
00
00
10
11
01
10
11
10
01
10
00
00
00
10
10
11
00
01
10
11
11
01
10
00
00
11
00
01
10
10
01
10
00
00
00
10
10
11
10
00
10
00
10
10
00
01
00
00
10
01
10
00
10
10
00
10
10
00
01
11
00
00
00
00
10
01
01
10
11
00
11
10
01
00
00
00
11
10
01
00
10
10
00
01
00
01
10
10
01
11
01
10
10
00
01
10
00
01
10
00
00
00
10
00
00
10
01
00
00
10
00
01
01
01
11
11
00
00
00
10
00
00
11
11
00
00
10
11
01
01
00
10
11
11
10
00
01
10
11
00
01
11
00
10
10
00
00
01
10
00
11
00
10
01
11
10
10
10
01
00
10
10
00
00
01
01
11
10
11
00
10
00
10
01
00
00
01
01
10
00
10
10
00
10
11
00
10
00
01
01
11
10
00
11
10
10
11
01
01
01
10
10
10
01
00
10
10
00
00
11
00
10
11
11
01
10
00
00
10
10
00
00
11
10
00
10
11
01
00
01
10
01
01
00
11
10
00
01
00
11
00
11
11
00
00
00
10
10
10
01
00
00
00
11
11
10
00
11
00
00
11
10
11
10
01
00
00
11
00
00
11
00
01
10
10
00
10
01
00
10
11
01
10
10
11
10
10
10
00
00
11
10
10
11
00
11
10
10
00
10
00
00
10
10
00
01
10
00
01
00
11
00
00
10
10
01
01
01
00
00
01
00
10
11
01
00
10
00
00
10
10
10
10
10
00
10
11
10
00
10
10
01
00
00
01
10
11
10
10
01
00
00
00
10
10
00
00
10
00
00
11
00
00
11
00
11
11
10
01
11
10
01
00
11
10
00
00
11
00
00
00
11
00
10
10
01
10
10
01
10
10
10
10
10
00
10
00
10
01
00
00
10
00
10
11
10
10
10
10
00
00
01
00
00
10
00
01
01
11
10
00
00
00
10
00
11
00
01
11
10
01
00
10
10
00
01
01
00
10
00
10
10
00
11
10
00
10
00
00
10
10
00
00
01
10
01
00
00
10
10
00
10
11
00
11
11
11
00
10
10
00
00
10
00
01
11
10
00
00
10
10
11
00
01
01
10
00
00
00
00
10
10
10
10
00
00
10
10
10
00
11
00
00
11
10
10
10
00
01
01
10
00
10
00
00
10
11
10
11
10
00
00
01
10
00
10
10
10
00
00
11
00
00
00
10
00
01
10
10
10
01
10
10
10
10
01
10
00
00
00
01
11
11
10
10
01
11
10
10
00
00
10
10
01
10
10
10
00
00
10
00
10
00
10
01
11
00
00
10
10
11
00
00
00
10
11
10
10
01
11
10
10
11
00
00
11
10
01
00
00
00
01
01
00
01
10
10
10
00
00
01
00
11
10
01
00
11
10
11
11
00
00
00
00
00
00
01
10
11
01
10
10
01
01
10
01
00
00
10
10
01
10
00
00
01
00
11
10
11
10
10
00
00
10
10
11
00
10
10
00
00
01
01
11
01
01
00
00
01
00
00
00
10
10
00
00
01
10
10
00
11
10
10
01
00
00
10
10
01
11
11
10
01
00
10
10
10
00
01
11
11
00
10
10
10
01
00
10
10
01
10
00
10
00
01
10
11
10
11
11
01
10
01
00
01
11
00
00
10
10
00
00
10
00
00
11
00
11
11
00
00
01
10
00
10
10
01
10
00
10
11
11
00
00
00
11
10
10
01
00
00
00
10
00
10
11
00
10
00
00
11
11
01
01
00
01
11
00
11
11
01
00
11
11
11
00
00
10
10
00
01
00
10
00
10
01
10
11
10
10
11
10
00
00
00
10
00
00
11
10
00
10
00
00
00
01
10
00
11
11
11
10
11
01
00
10
00
00
11
00
11
01
11
01
11
11
10
01
00
01
10
10
01
00
10
11
00
01
00
00
11
00
10
10
00
00
11
10
00
10
11
10
10
01
10
10
01
10
01
10
10
01
10
00
10
10
00
11
10
00
01
01
10
11
00
01
00
00
10
00
00
10
11
10
11
10
10
01
01
01
11
00
00
10
01
00
10
10
10
00
01
10
01
10
00
10
00
00
11
01
01
10
11
01
00
10
10
00
10
10
00
00
00
00
01
11
00
00
00
00
10
00
11
00
11
10
01
10
00
00
11
01
00
00
00
10
11
11
10
10
10
00
10
10
00
11
11
00
01
11
01
01
11
01
00
10
11
00
01
10
11
11
01
10
00
00
10
10
00
00
10
01
10
00
01
00
10
00
00
00
11
10
00
10
10
10
10
10
00
10
10
10
11
00
01
00
11
11
10
10
00
00
10
10
01
10
00
10
01
00
10
11
11
00
10
01
00
01
10
11
00
00
10
11
10
01
00
01
10
01
11
10
00
01
11
11
01
01
00
01
10
00
10
10
01
00
01
01
00
10
10
11
10
00
01
11
01
00
00
00
00
10
10
10
01
11
00
00
01
00
01
00
10
10
01
10
10
00
01
00
10
11
00
10
00
00
10
00
01
10
11
00
00
10
00
00
10
00
01
01
11
10
10
10
01
10
00
00
11
10
00
00
10
00
00
00
00
11
01
10
01
00
11
00
10
00
11
10
01
10
11
00
00
01
00
10
10
01
00
00
10
11
01
00
10
11
01
10
00
00
10
10
00
01
01
10
10
11
10
01
01
11
00
10
10
00
10
11
10
10
01
10
01
00
00
10
01
00
10
00
10
10
01
11
10
00
01
00
00
10
00
11
01
10
11
00
00
11
10
00
00
11
10
00
00
10
00
01
00
10
00
01
10
10
10
00
01
00
10
10
00
10
10
10
11
00
00
10
10
11
10
01
00
10
11
10
01
01
00
01
00
00
00
00
11
10
01
01
10
01
11
00
00
00
10
10
00
00
10
11
00
11
10
11
01
00
00
10
00
00
11
10
10
00
10
01
00
10
01
00
00
00
01
00
00
10
10
00
10
10
01
10
00
00
00
10
11
01
00
00
01
10
10
11
01
11
01
10
10
00
10
10
01
00
10
00
11
00
11
10
01
00
10
10
00
10
10
10
01
10
00
00
10
10
00
00
10
10
10
00
00
11
00
00
10
10
10
10
10
00
00
10
10
10
11
11
10
11
00
00
01
10
01
01
01
11
10
10
00
11
10
01
00
10
11
00
10
11
00
01
11
00
00
00
01
10
10
01
01
11
01
11
10
10
11
10
10
10
00
10
01
01
00
10
10
00
01
01
01
10
11
10
00
10
00
00
11
01
00
11
11
10
01
11
10
10
00
01
01
11
10
10
00
00
00
00
00
01
11
10
00
10
01
10
01
01
10
00
01
10
11
00
00
11
00
10
00
01
10
00
00
11
00
00
00
10
10
01
00
00
10
10
01
00
11
10
00
10
10
10
01
01
11
10
01
10
10
10
10
01
00
01
10
11
00
10
11
00
11
10
00
00
10
10
11
10
00
10
11
01
10
11
10
01
01
00
01
01
00
10
00
00
11
10
00
11
10
00
00
00
11
11
10
01
11
10
10
00
01
10
00
00
10
00
00
10
10
00
10
00
01
11
11
10
11
01
00
10
00
00
10
11
10
00
01
00
11
00
01
10
10
10
10
01
00
10
01
10
01
00
01
10
00
01
00
00
10
01
00
00
01
01
00
10
10
10
00
10
00
00
01
01
00
00
11
10
01
10
01
10
10
10
10
00
10
10
00
00
10
00
10
11
11
00
10
11
00
01
00
11
00
10
10
10
10
01
00
01
10
00
00
00
11
01
11
10
01
11
00
10
10
01
10
11
01
10
00
10
01
10
00
11
01
00
10
01
10
00
00
10
00
10
00
01
10
00
01
01
00
00
00
11
00
11
10
00
00
10
00
00
01
10
10
11
01
00
00
00
01
00
00
10
11
10
01
10
00
10
10
00
11
00
01
10
00
01
10
10
10
01
11
10
00
00
10
00
01
01
11
10
10
00
01
10
11
00
00
10
10
10
00
01
10
00
11
01
01
00
10
11
11
11
01
10
11
10
00
01
11
00
00
10
00
01
00
11
01
00
10
01
00
10
10
00
00
01
01
11
10
01
10
01
10
00
10
11
01
01
00
11
00
10
10
10
00
00
10
10
11
00
10
10
00
00
10
00
10
11
10
00
10
00
00
00
00
00
10
11
10
00
10
00
11
11
11
11
10
10
00
10
10
01
00
10
11
00
10
11
01
01
00
01
11
10
00
00
00
10
10
00
00
10
01
11
10
00
00
00
10
10
10
00
00
11
11
10
01
00
01
00
00
00
00
00
10
11
01
00
10
00
10
11
00
11
00
00
10
00
01
11
11
01
10
01
00
11
10
10
00
00
01
10
00
10
00
10
00
01
11
00
10
11
11
10
10
01
00
11
10
00
10
11
10
11
10
00
01
10
10
00
01
00
00
10
10
01
00
10
00
00
00
10
00
00
10
10
10
10
01
00
00
00
00
10
10
11
11
11
11
00
00
00
01
00
10
00
01
10
00
11
10
11
10
10
00
10
10
00
10
10
00
00
00
10
10
00
01
01
10
00
10
10
10
10
11
01
00
11
11
11
01
10
00
00
10
00
01
10
11
10
10
10
01
00
00
00
10
10
01
11
11
11
00
10
10
11
00
00
10
10
00
11
11
11
10
01
10
10
01
01
00
11
01
00
00
10
11
00
01
00
11
11
00
11
10
10
10
00
00
11
00
10
10
01
10
10
10
10
11
00
00
00
01
11
10
01
01
11
01
10
11
01
10
10
00
10
10
00
00
10
01
11
00
01
00
00
00
11
01
01
00
11
00
11
10
00
10
10
01
00
01
10
11
11
10
11
00
01
00
01
01
00
01
10
11
01
00
10
00
01
11
00
00
01
11
01
00
10
00
10
10
00
10
10
00
00
01
00
10
10
01
11
00
10
00
00
00
10
00
01
10
10
10
10
10
00
00
10
00
10
10
00
00
10
00
01
10
01
01
11
00
10
01
10
10
10
00
00
00
10
10
11
11
10
10
11
00
10
11
01
10
00
11
11
10
11
10
01
10
00
00
00
00
10
10
00
10
11
10
10
11
10
01
01
11
11
00
11
01
01
01
00
10
10
00
00
00
00
11
10
00
10
00
10
01
10
11
11
00
00
00
10
11
10
01
00
10
11
01
00
11
11
11
10
00
11
11
00
00
00
10
10
10
10
01
10
11
00
00
01
11
10
10
01
00
11
00
01
01
10
00
00
10
10
10
01
10
11
10
00
00
01
11
01
00
11
00
11
00
00
10
00
01
10
00
10
00
00
10
00
01
11
10
10
10
11
10
10
01
10
10
01
10
10
00
01
10
10
11
10
01
00
11
01
01
10
01
01
10
11
01
01
11
01
11
10
01
00
11
01
10
10
00
01
10
01
00
11
10
00
11
10
00
00
00
11
00
00
10
10
00
00
00
00
01
10
11
01
10
00
00
11
11
01
00
10
10
01
01
11
00
00
00
10
00
00
10
10
01
00
10
10
10
00
11
10
00
11
10
10
00
10
10
01
01
10
00
10
00
10
10
00
01
11
10
00
10
01
10
01
00
10
11
01
10
00
10
10
10
11
01
01
00
01
11
00
01
10
00
01
10
10
11
00
01
11
00
00
10
00
10
01
00
10
01
10
00
00
11
11
10
10
10
00
01
11
01
01
11
01
00
00
10
10
00
01
11
11
10
00
10
00
01
10
10
00
00
01
11
11
00
00
01
00
10
10
00
01
10
10
10
11
01
00
10
00
01
01
00
01
10
11
11
11
11
10
01
11
00
00
10
10
00
10
10
10
01
00
00
00
10
00
10
00
00
10
10
11
00
00
10
00
00
00
10
00
10
00
11
10
10
01
10
11
10
00
00
10
00
01
10
10
10
10
10
01
11
10
00
00
00
00
01
00
10
10
10
00
11
11
11
11
00
01
00
01
11
10
00
00
10
01
10
00
00
00
11
10
01
11
01
10
10
00
10
10
01
00
10
10
01
01
00
01
00
11
00
01
01
10
00
00
01
10
11
01
11
00
10
00
00
10
10
00
11
00
11
00
01
10
00
10
01
00
11
10
01
00
10
00
00
10
01
10
11
01
10
10
10
10
00
10
10
00
11
01
10
00
00
00
00
10
00
10
11
10
10
11
01
10
00
11
11
11
00
01
00
10
00
10
01
00
01
10
10
10
01
00
00
00
01
10
01
00
10
10
00
10
00
11
00
00
10
10
10
01
00
11
00
00
00
00
11
01
10
00
00
01
00
01
00
00
11
10
00
00
10
10
01
00
11
00
00
11
01
11
01
11
11
01
00
10
11
00
10
10
00
01
00
11
10
01
11
10
01
00
01
00
10
10
00
01
11
10
00
10
10
11
00
10
10
00
00
10
00
00
00
10
11
10
00
11
10
00
10
00
00
01
00
01
00
10
00
00
00
10
00
00
01
00
11
11
00
10
01
10
00
10
10
00
10
01
11
10
10
10
00
01
10
10
01
11
10
10
00
10
10
10
01
01
01
11
11
10
00
01
11
11
01
01
10
01
00
10
11
00
00
10
01
00
01
11
00
11
01
01
10
10
01
01
01
10
10
11
01
10
11
01
00
11
10
00
11
10
00
11
00
00
00
10
00
10
10
10
01
11
10
10
10
10
10
01
00
10
11
00
00
01
11
11
00
00
11
10
00
01
10
10
00
00
00
01
01
11
11
11
00
10
00
00
10
00
00
10
11
11
10
00
00
00
10
01
11
11
10
11
11
00
10
10
00
01
00
01
10
10
10
00
00
10
00
11
10
11
10
00
01
10
10
00
00
00
01
10
11
11
00
00
01
10
00
00
11
01
00
10
10
00
00
00
11
10
10
00
11
10
00
00
01
10
10
00
01
11
10
00
00
10
11
01
10
11
00
00
10
11
00
10
10
00
11
01
11
00
10
10
01
11
00
11
10
00
00
10
00
00
10
11
10
00
00
10
00
11
11
00
00
00
10
10
00
11
10
00
00
00
00
01
00
10
10
00
10
10
10
10
10
01
00
10
10
00
11
01
01
10
01
00
01
00
10
10
00
00
10
10
00
00
11
00
00
00
11
10
01
00
10
00
10
00
10
10
11
00
00
10
11
10
00
00
00
00
10
11
10
00
10
11
01
01
00
10
11
01
00
00
00
11
00
11
10
10
11
10
01
00
11
10
10
10
00
01
10
10
00
10
10
00
11
11
01
11
01
10
10
00
10
10
00
00
00
00
11
00
00
10
00
00
01
10
11
10
00
00
10
10
00
10
11
00
01
00
00
00
10
10
10
10
01
00
11
00
10
10
01
00
01
00
10
01
10
01
00
00
10
01
11
00
11
00
11
11
10
00
00
10
11
01
01
00
00
10
01
00
01
10
11
00
01
01
10
10
10
00
01
00
11
10
00
00
10
00
10
00
00
10
01
00
00
11
01
00
11
10
01
10
10
01
10
11
00
01
10
10
11
00
00
10
11
11
10
10
10
11
10
10
00
01
00
10
00
00
01
00
11
11
00
01
00
11
11
00
01
11
10
00
01
10
00
10
11
00
00
10
00
10
10
00
10
00
01
00
01
00
00
11
10
00
10
00
00
11
11
11
10
00
00
11
10
00
00
10
10
10
00
00
00
10
00
11
00
10
10
10
01
00
10
10
00
00
10
00
10
00
00
00
10
11
00
10
10
01
00
10
10
10
10
00
00
00
01
11
10
10
01
10
01
11
00
00
10
11
00
11
11
01
00
10
00
00
10
10
00
01
01
00
00
10
10
10
10
00
10
10
00
10
00
00
10
11
10
10
11
10
10
11
01
00
10
01
00
11
00
01
10
10
10
10
00
10
10
00
10
01
01
11
11
00
10
10
00
00
01
10
10
10
00
10
11
01
01
10
10
10
10
01
01
01
11
01
00
00
00
01
00
10
01
10
11
00
10
11
01
01
10
00
10
01
00
10
01
10
10
10
10
01
11
11
01
10
10
10
01
00
00
10
10
00
00
10
10
10
00
00
11
10
00
11
00
01
10
11
10
10
01
01
00
01
00
10
10
00
00
11
10
00
10
10
10
00
01
01
10
00
10
01
00
10
10
11
00
00
10
10
10
01
01
10
10
10
10
01
00
11
00
11
00
01
00
00
10
01
10
10
01
01
00
00
10
10
00
10
10
01
01
11
11
01
00
11
00
11
00
00
10
10
00
00
11
10
01
01
11
10
01
10
11
00
00
10
11
01
10
11
00
10
01
00
00
10
10
00
10
10
10
00
00
00
10
10
10
00
10
10
00
10
10
10
00
10
01
00
10
11
01
00
10
10
01
10
11
11
10
00
10
10
00
01
10
01
01
10
10
10
11
00
10
00
00
00
01
10
00
10
10
10
00
01
00
11
10
11
10
00
11
11
10
11
01
00
00
01
00
01
10
10
11
00
01
00
11
10
11
10
00
11
10
10
00
01
00
01
11
00
10
11
11
00
00
11
10
00
11
11
00
00
01
00
01
10
11
10
01
10
11
01
00
01
10
01
00
10
10
00
00
00
10
10
00
01
00
10
10
11
10
00
10
11
00
00
01
11
10
01
01
00
10
10
10
10
00
00
00
00
10
10
10
01
00
11
11
00
00
11
10
01
11
00
10
11
00
01
00
11
00
11
11
10
11
00
11
10
11
01
00
00
11
00
10
10
10
10
01
01
10
00
00
10
00
10
01
01
10
11
00
00
11
11
01
10
01
00
10
10
00
01
11
10
10
01
00
10
10
11
10
00
00
00
10
10
11
00
00
11
00
10
10
10
00
00
00
00
00
10
10
01
10
01
01
10
01
10
10
11
10
00
01
00
11
10
00
00
01
11
10
10
00
00
10
10
00
10
00
00
10
01
00
01
11
10
01
01
11
00
00
10
01
11
01
10
10
01
01
10
00
00
10
11
11
01
10
10
01
10
00
10
00
01
11
01
10
10
00
10
10
00
11
11
00
00
01
00
00
10
11
00
10
01
01
01
00
00
11
00
00
10
11
10
10
11
10
10
00
11
00
01
10
11
01
00
00
00
00
10
01
00
10
10
10
01
10
01
00
10
10
01
10
10
00
00
10
10
11
00
00
11
10
10
11
00
00
00
10
00
11
00
01
10
10
10
01
00
00
01
10
01
00
10
11
01
10
11
00
00
00
10
10
00
00
10
00
11
10
10
10
10
11
10
00
10
01
10
00
01
11
10
10
01
01
10
00
10
01
10
10
00
00
11
10
10
10
01
00
10
00
00
11
01
10
10
10
11
00
10
01
01
10
00
10
10
00
10
00
01
01
01
11
10
10
10
10
00
10
11
01
01
10
10
00
01
01
00
10
10
10
11
00
11
01
00
00
00
00
00
01
10
00
10
00
00
10
10
01
01
01
00
00
01
11
10
10
00
00
11
11
11
11
10
11
01
10
00
00
10
00
10
11
00
11
10
00
11
10
01
10
11
00
00
11
00
00
00
01
01
10
00
00
10
11
10
10
11
00
01
00
00
00
11
01
00
11
01
10
10
01
01
01
00
00
10
11
00
10
10
01
10
10
11
01
10
11
00
11
00
01
01
00
10
10
10
00
01
10
10
00
00
00
10
00
00
00
00
10
10
01
10
00
01
10
00
00
11
11
10
11
00
10
00
00
01
10
10
00
00
11
00
01
00
10
11
00
10
11
10
01
00
01
00
01
10
11
10
01
00
00
11
10
11
00
00
10
10
01
10
00
00
10
01
00
00
10
11
00
10
00
10
11
10
00
00
11
01
00
10
10
10
00
00
00
10
00
10
11
00
11
00
00
00
11
00
00
11
00
10
11
10
10
00
01
10
11
00
00
00
11
10
01
10
10
00
00
00
10
00
00
01
00
10
00
01
00
00
11
10
10
00
00
10
00
00
01
10
10
10
11
00
01
10
11
00
00
10
10
00
00
00
10
01
00
10
11
10
00
00
10
10
01
00
11
10
11
10
01
11
01
10
11
10
01
10
00
10
10
00
10
00
01
10
10
00
11
01
00
11
10
10
00
10
00
01
10
10
00
01
11
10
00
01
10
00
00
11
00
00
11
01
01
10
00
00
00
10
10
11
10
00
01
10
11
01
01
10
10
10
10
00
00
10
10
00
00
11
01
10
11
10
11
10
00
01
01
00
00
10
10
10
00
10
11
11
00
11
10
00
01
11
11
00
01
11
11
10
10
10
01
01
11
00
10
00
01
00
11
01
00
10
00
00
10
10
11
11
10
10
01
10
11
10
00
00
10
11
10
10
00
11
00
11
11
10
11
10
00
00
00
11
00
10
11
10
10
00
00
00
00
11
10
10
00
01
10
11
11
01
10
10
01
10
11
00
10
11
10
01
01
10
01
10
00
10
10
10
00
00
10
00
00
00
10
10
00
11
10
10
10
11
01
00
00
10
10
11
00
01
10
00
00
10
10
10
11
10
10
11
10
11
10
01
10
01
00
01
11
00
01
10
11
01
01
10
10
10
00
10
10
11
00
00
11
11
00
10
00
00
11
10
10
00
01
00
00
11
00
11
10
11
10
11
11
11
10
00
00
01
10
00
10
11
01
10
01
00
00
00
11
11
00
10
10
10
10
11
00
00
00
10
11
00
11
11
10
00
10
00
00
00
00
11
00
00
11
11
10
00
00
10
10
00
00
10
10
01
10
11
11
01
11
10
01
00
11
00
01
11
11
11
01
11
11
11
01
01
11
01
00
10
01
10
10
00
00
11
11
01
10
00
00
01
00
11
10
11
00
10
10
01
00
11
10
11
01
00
00
00
11
01
10
10
10
01
10
10
01
11
10
01
11
00
10
00
10
00
10
00
11
11
00
11
10
00
01
01
00
10
11
00
00
11
11
10
01
10
01
11
01
00
10
01
00
00
10
00
00
10
11
01
00
10
00
10
00
11
10
10
10
00
10
10
00
00
01
10
10
10
10
00
00
10
11
00
01
01
01
11
10
00
00
00
11
00
10
10
00
00
10
01
00
10
10
10
00
10
00
01
10
10
10
00
00
00
01
10
01
11
10
00
10
10
01
10
11
00
00
11
10
10
10
00
01
10
10
01
11
01
11
00
01
11
10
10
01
01
11
11
00
00
10
01
01
10
01
00
10
00
11
11
10
00
00
11
11
10
01
11
00
11
00
01
11
10
00
10
10
00
10
10
00
00
10
11
10
11
00
00
00
00
01
11
00
00
01
00
10
11
00
11
10
00
10
01
00
00
10
10
10
10
10
01
10
11
01
00
10
11
01
01
10
10
00
10
10
10
01
00
11
11
10
01
11
10
01
11
10
10
11
01
00
00
11
01
00
10
01
00
00
10
10
10
00
01
00
00
00
10
10
10
01
00
11
00
10
00
10
00
00
10
01
10
00
00
11
01
10
10
10
10
10
10
01
10
01
11
11
11
10
01
00
01
01
11
10
11
10
00
11
11
00
00
00
10
10
10
10
11
00
00
00
10
10
10
01
00
11
10
10
11
11
10
00
10
00
10
11
01
10
10
10
01
01
01
11
01
00
01
00
10
01
00
10
10
10
01
00
11
10
10
00
00
10
01
00
11
10
00
01
00
00
10
00
00
11
11
10
00
10
10
10
00
10
00
01
10
00
11
10
01
00
10
01
10
10
00
01
10
10
00
11
01
00
00
10
10
01
00
11
10
11
00
00
10
10
10
00
00
11
01
00
01
10
10
00
00
01
00
11
10
00
11
00
11
11
10
00
10
10
00
00
10
00
10
00
00
01
10
10
00
00
10
00
10
10
10
10
10
10
00
10
00
10
11
00
00
01
10
00
00
10
10
00
01
10
00
01
10
00
10
00
11
00
01
10
00
00
01
10
11
10
00
00
00
01
10
10
00
10
10
00
10
01
10
11
10
11
00
01
10
10
10
10
11
00
01
00
00
00
10
00
10
00
10
10
10
00
10
01
00
10
01
00
11
00
10
01
00
01
11
10
00
00
01
10
10
01
00
10
10
10
10
00
00
10
10
00
00
11
00
10
01
01
00
00
00
00
01
11
11
00
00
10
10
00
01
10
11
01
10
10
00
10
01
00
11
10
00
01
00
01
10
10
00
00
10
10
10
00
01
00
00
11
11
10
00
01
10
10
10
10
10
10
00
11
11
01
00
11
11
10
00
01
11
10
10
01
01
00
10
10
11
01
00
00
10
11
11
10
00
01
10
01
00
11
00
01
00
10
10
00
10
10
00
00
01
10
10
10
10
10
10
10
00
01
11
10
11
10
11
10
01
11
00
10
10
00
01
11
10
11
10
10
10
00
10
10
10
00
00
10
01
00
11
00
11
10
10
10
11
10
11
01
01
10
11
10
01
11
10
00
01
11
11
10
10
00
11
00
00
00
11
10
11
10
01
00
10
10
00
00
10
11
01
01
10
11
11
10
01
01
10
10
01
00
01
00
10
11
00
00
11
01
01
00
01
10
00
01
00
00
10
10
00
10
10
00
10
00
00
01
00
00
10
00
10
11
10
00
01
00
10
00
01
10
01
10
11
00
01
01
00
11
00
10
00
10
11
00
00
10
00
00
01
10
10
10
10
10
00
10
00
00
00
10
00
01
10
01
11
00
10
10
11
11
00
01
00
11
10
00
01
10
01
11
01
01
01
11
01
00
11
10
00
10
00
10
01
10
10
01
10
10
10
00
10
01
11
01
10
10
10
00
11
00
01
10
11
10
10
00
10
10
10
10
01
00
11
10
00
01
00
10
10
00
00
01
10
00
00
11
11
00
11
11
10
00
10
10
00
00
10
00
00
01
00
11
00
10
11
10
00
00
10
11
00
11
00
00
10
11
11
10
11
00
00
00
00
10
01
01
10
00
11
00
10
10
00
00
10
10
10
10
00
01
10
00
11
00
00
11
11
10
01
01
10
01
10
00
00
10
11
00
00
10
00
00
10
11
01
00
11
10
01
10
10
11
10
00
11
01
10
01
10
01
10
10
00
00
01
10
11
01
11
00
10
00
00
00
11
10
01
10
11
00
10
00
00
00
11
10
01
00
10
00
00
10
10
11
00
00
10
00
10
11
10
10
10
01
11
00
11
00
00
00
11
10
01
11
10
00
00
00
10
11
00
10
10
10
10
01
10
10
00
00
01
00
00
00
00
01
10
10
01
10
10
11
11
11
00
00
10
11
11
01
00
11
11
00
01
11
01
00
10
10
00
01
11
11
01
00
10
11
01
11
10
01
11
10
10
00
00
11
00
00
10
00
10
10
11
00
10
10
10
10
10
10
00
10
01
00
10
01
01
00
00
10
10
00
00
10
00
00
00
11
10
11
00
01
10
10
11
00
00
11
10
01
10
10
00
00
01
10
10
00
11
10
11
10
00
10
00
10
11
01
01
10
01
10
11
11
00
00
11
10
11
10
11
00
10
10
01
00
10
11
01
01
00
11
10
00
00
10
00
01
11
10
10
00
11
00
00
01
10
01
11
00
01
10
00
10
10
00
10
10
01
10
10
01
11
00
11
01
01
01
00
10
10
01
00
10
10
00
11
10
10
00
00
10
10
10
11
11
10
10
00
10
10
01
10
00
10
00
00
10
10
10
10
01
00
01
00
01
00
10
01
11
01
01
01
01
10
01
10
10
00
00
01
10
00
00
10
01
10
00
10
11
10
00
00
00
11
00
00
10
11
01
00
01
00
11
11
00
00
00
10
01
00
10
10
10
00
00
11
10
10
01
11
00
01
00
11
10
11
01
11
10
00
10
10
10
11
01
00
10
10
11
01
01
10
00
11
00
01
10
00
00
10
10
00
11
10
01
00
00
00
00
10
10
10
00
00
00
00
10
10
00
10
00
10
00
00
11
00
11
10
00
11
11
10
00
10
10
10
10
10
01
01
11
00
00
10
10
10
10
11
01
00
11
10
00
10
00
00
11
10
00
10
10
00
11
00
00
11
00
00
10
00
01
00
11
10
11
00
00
00
11
00
01
11
00
00
00
11
11
00
00
11
10
00
10
10
11
11
00
00
11
00
01
10
11
11
01
11
10
00
10
10
01
01
00
11
10
10
10
10
00
00
00
11
11
01
10
11
00
10
01
10
00
01
11
10
10
10
01
01
11
10
10
10
11
00
00
01
01
00
11
00
11
00
01
10
10
11
00
10
00
10
10
11
10
01
00
01
00
10
10
00
01
11
11
10
10
00
01
00
11
00
01
01
00
10
01
01
11
10
11
00
00
01
00
10
10
11
11
10
00
00
00
00
11
01
01
00
10
10
00
10
00
00
10
10
01
00
01
01
00
00
00
01
11
00
00
00
10
11
10
11
00
01
10
10
01
00
11
11
00
00
10
00
01
01
00
00
10
10
01
10
10
11
00
00
00
10
00
01
11
00
00
01
10
00
10
11
00
10
00
01
10
10
11
10
01
00
01
10
00
01
00
11
11
10
00
10
00
10
11
01
00
10
11
00
00
01
10
10
10
00
01
01
00
00
10
11
10
01
01
10
00
00
00
00
10
00
10
01
00
01
10
10
00
00
01
11
10
00
00
00
10
00
11
10
01
00
10
10
10
00
01
11
01
00
10
10
10
10
10
10
00
00
11
10
01
00
11
00
11
10
01
01
11
00
10
10
01
00
10
10
00
00
11
00
00
11
10
10
10
00
10
10
00
01
10
00
10
00
10
00
10
01
10
11
10
10
01
10
01
00
10
11
10
10
11
01
01
10
10
00
11
00
01
01
11
01
01
11
10
10
00
11
10
00
00
11
11
00
00
10
10
10
00
00
10
01
00
10
11
00
10
11
11
10
01
10
11
11
01
00
11
00
11
00
00
11
10
00
00
10
11
10
00
00
01
10
00
00
00
10
00
01
11
10
10
10
00
00
11
10
00
00
10
11
10
01
10
00
11
11
01
01
11
10
00
10
11
00
00
00
00
11
00
11
10
00
00
00
00
00
00
10
11
10
00
01
10
10
00
10
00
00
00
11
01
10
00
01
00
11
10
10
10
10
11
10
10
01
11
00
00
00
01
10
10
00
10
00
10
10
00
10
10
00
10
10
00
10
10
00
11
10
00
00
10
10
11
00
11
11
00
10
00
01
00
00
01
11
00
01
01
10
00
01
11
10
11
00
11
10
00
00
10
10
00
11
10
10
10
00
11
01
01
10
11
01
00
10
00
01
11
10
10
11
11
10
11
00
01
01
10
10
00
10
10
11
00
00
10
00
11
11
10
00
11
11
00
10
10
01
01
11
10
00
01
01
10
10
01
00
11
00
10
10
10
10
00
11
00
01
10
10
01
00
11
00
10
00
11
11
00
11
11
01
01
10
11
00
10
10
00
00
00
00
10
00
11
00
10
11
00
01
11
00
01
10
01
01
00
10
11
10
00
00
11
10
11
10
00
00
10
10
00
00
11
01
01
01
10
10
10
01
01
00
10
00
00
10
01
11
11
11
00
01
11
10
10
01
00
00
11
11
00
11
10
10
10
11
01
00
10
11
11
01
01
10
10
00
01
11
10
00
01
10
11
11
00
00
00
10
10
10
01
00
11
10
10
00
00
10
11
00
00
00
11
10
00
10
10
11
01
01
01
00
00
00
10
10
00
10
10
01
01
00
01
11
10
10
00
00
10
00
00
10
00
11
01
11
10
00
10
10
00
11
00
00
11
00
10
00
11
00
01
10
10
10
10
11
10
10
00
00
11
01
00
11
00
10
00
10
10
10
10
01
00
10
10
00
00
00
00
00
10
01
10
10
01
10
01
10
00
11
10
00
11
10
01
10
01
00
01
00
00
00
11
10
00
01
10
11
11
00
00
00
10
10
10
01
11
11
11
00
01
10
01
00
00
10
11
10
10
01
00
00
00
11
00
10
10
10
10
00
00
00
01
10
11
00
01
00
11
10
01
00
10
10
10
00
00
00
00
10
10
00
10
10
00
00
10
10
11
00
10
00
00
01
10
00
10
11
00
01
10
10
10
11
00
01
11
00
10
01
10
00
00
10
00
00
10
10
10
11
00
00
00
10
10
01
10
10
11
10
00
10
11
00
01
10
10
10
00
00
10
00
01
10
11
11
01
11
11
11
00
10
10
01
00
10
10
00
00
10
00
01
11
00
10
00
10
00
11
11
00
10
10
01
10
10
00
10
00
00
10
11
10
11
10
00
00
01
10
01
00
11
00
00
11
11
00
10
11
01
01
11
11
00
00
01
01
10
00
00
10
00
00
10
01
01
11
10
10
01
01
01
11
01
00
10
00
11
10
10
01
00
00
10
10
10
01
00
00
01
11
10
10
11
00
00
11
11
10
01
01
10
00
00
00
11
00
00
10
00
00
11
10
10
01
10
10
00
10
00
00
11
11
00
00
00
00
00
11
01
10
11
11
10
00
10
10
11
01
00
01
00
10
00
10
10
00
00
10
11
01
10
10
00
00
11
00
10
10
10
10
10
00
11
11
00
00
01
01
11
10
10
10
01
11
10
10
00
00
01
10
01
00
10
11
00
10
10
00
00
01
00
01
00
10
11
00
10
10
00
00
10
10
00
10
10
00
11
11
10
10
00
00
10
10
00
01
10
00
10
10
10
01
00
11
10
01
10
00
00
00
10
01
00
10
10
00
00
00
10
00
10
10
00
00
01
11
01
01
01
01
00
10
01
10
10
01
11
10
10
00
11
00
10
01
01
00
00
10
10
10
11
01
00
00
10
10
00
00
10
10
10
00
11
00
10
01
00
00
10
10
00
00
10
11
10
01
00
01
00
10
01
11
10
01
10
11
10
11
01
11
11
00
00
10
00
11
11
00
11
00
10
10
00
10
01
10
11
00
10
11
00
10
00
00
00
10
00
10
01
00
01
00
10
01
10
10
10
11
10
00
11
10
01
00
01
10
10
10
10
00
00
00
10
01
10
00
00
10
00
10
10
01
10
10
10
10
01
10
01
01
00
10
00
01
10
00
01
10
00
10
10
00
00
00
11
00
11
00
00
10
10
10
10
00
00
10
10
01
00
10
01
00
00
10
11
00
00
10
00
10
10
01
00
01
10
01
10
00
11
01
11
00
00
11
10
00
00
10
10
00
10
01
11
11
01
10
00
00
00
10
11
11
01
10
01
00
00
00
10
00
01
01
00
11
11
10
10
00
11
10
00
01
10
01
01
11
00
10
10
01
00
10
10
00
00
00
01
00
10
00
10
10
11
00
00
10
10
01
00
00
10
10
10
10
01
01
01
00
00
00
11
10
00
10
10
01
10
10
00
00
10
10
10
11
10
10
10
00
01
00
01
10
00
00
10
01
00
10
10
11
00
00
00
10
00
11
00
01
00
01
10
01
10
10
01
01
11
11
10
00
00
00
11
11
01
00
10
11
10
10
10
10
00
00
10
10
00
00
10
00
10
11
01
01
00
10
00
10
10
10
10
00
00
00
10
01
10
01
00
11
00
01
11
11
10
00
11
01
10
11
11
01
00
00
01
10
11
10
01
00
01
11
10
10
00
10
10
00
00
11
00
11
00
10
00
10
10
11
00
00
10
00
11
11
00
10
10
10
11
10
00
01
00
01
11
00
10
00
10
01
00
10
01
10
00
11
11
01
00
00
11
00
00
11
01
00
00
10
10
10
11
01
11
00
10
10
00
00
10
10
11
10
00
01
00
01
00
10
10
10
00
00
10
10
00
01
10
01
00
00
10
00
10
10
11
00
00
00
11
01
01
00
01
00
10
00
00
11
10
01
00
10
10
10
00
00
11
01
11
00
00
00
00
00
10
00
00
10
11
01
10
01
11
10
11
10
01
01
10
10
10
01
10
00
01
10
11
00
00
10
00
00
01
10
01
01
01
10
11
00
10
10
01
00
11
10
00
10
11
11
01
10
11
01
01
00
11
00
00
00
10
10
11
00
01
01
10
10
10
10
10
10
00
01
00
00
11
11
00
01
00
11
10
11
11
01
11
11
01
00
00
10
00
10
11
01
00
00
10
01
11
10
00
10
10
11
11
01
10
11
00
01
01
00
10
10
00
01
11
01
00
10
10
11
10
00
10
11
11
11
00
01
10
10
10
00
00
00
01
10
00
10
00
00
00
00
10
00
00
10
10
10
10
00
00
10
00
01
11
01
10
10
01
00
11
11
00
00
11
11
00
01
10
00
10
01
11
11
00
00
00
00
00
00
00
10
10
00
00
11
00
00
01
00
00
10
00
10
00
01
10
00
11
01
01
00
10
10
00
00
10
00
00
11
10
10
01
11
11
00
00
00
10
00
11
11
11
11
10
10
00
00
01
00
10
00
00
00
11
00
00
00
10
01
01
10
00
11
00
11
11
10
00
10
10
11
00
01
10
10
10
01
01
00
00
01
10
10
01
10
01
10
10
11
00
11
10
10
01
10
11
00
00
10
11
01
01
00
10
01
01
01
11
11
11
00
01
10
00
00
10
11
00
00
10
00
00
11
00
11
00
00
00
00
00
10
10
00
00
10
11
00
11
10
01
01
00
11
10
10
01
01
10
11
10
10
10
00
00
00
00
00
10
11
10
00
10
10
00
10
10
10
01
10
00
00
10
00
10
10
10
10
00
00
11
00
10
10
00
11
00
00
00
11
00
01
00
11
00
11
10
00
00
10
10
00
10
01
01
10
11
11
11
01
00
11
10
10
00
00
11
00
10
10
10
00
01
01
01
10
11
11
10
00
01
10
11
10
11
11
10
00
11
11
00
01
01
00
10
10
10
10
01
00
00
10
10
00
10
00
00
10
10
00
00
10
11
11
10
10
10
01
10
00
01
10
10
00
00
01
01
01
10
10
01
00
00
10
01
00
10
11
01
10
10
01
10
11
00
00
10
01
10
10
01
00
00
01
11
10
11
00
11
00
10
00
10
01
01
01
10
10
10
10
01
10
00
01
11
00
00
10
10
00
00
11
01
00
11
00
10
10
00
11
00
10
10
10
00
10
00
01
00
10
10
11
10
10
10
00
00
00
10
10
01
00
00
10
10
10
11
11
01
11
01
10
00
10
11
00
00
00
10
10
00
11
01
10
00
10
10
11
11
10
00
10
10
01
10
01
00
10
01
10
10
01
10
11
00
10
00
01
00
10
10
00
10
10
01
00
00
10
01
10
10
11
00
01
01
01
10
01
00
11
10
10
01
00
00
10
00
00
01
00
00
10
11
00
01
10
00
11
00
11
10
01
00
01
10
10
00
01
10
00
00
10
10
00
10
00
00
00
01
10
10
10
10
10
00
11
11
10
11
01
10
00
10
00
00
00
10
10
10
10
10
10
01
10
11
10
11
01
00
00
10
10
01
11
11
00
11
11
11
10
10
10
00
10
10
11
01
10
10
11
00
10
00
00
10
10
00
00
10
00
01
00
11
10
01
00
11
10
01
00
10
11
10
01
01
11
11
10
01
10
01
00
01
11
10
00
00
00
10
10
11
10
11
10
00
00
10
10
01
11
11
01
00
00
11
11
01
10
11
00
00
00
10
10
10
01
00
00
11
10
00
00
00
10
00
00
00
00
10
00
00
10
10
10
01
00
10
10
00
00
11
11
00
11
11
00
10
11
10
00
01
11
00
11
10
11
10
01
01
10
11
01
10
11
00
01
10
01
10
10
00
00
10
10
11
00
00
10
01
01
11
11
00
00
10
11
10
10
00
00
00
00
10
00
00
11
00
10
10
00
10
10
01
11
10
01
10
10
11
00
11
00
00
10
00
10
10
01
00
11
10
00
00
10
11
11
00
00
10
11
00
01
01
10
10
10
01
00
11
00
10
00
10
00
00
11
00
11
00
01
10
00
10
01
10
01
10
11
10
10
10
00
10
10
01
01
00
10
11
01
10
00
10
10
10
10
01
00
00
01
00
11
01
11
00
00
01
10
11
11
10
01
10
10
01
11
11
00
11
10
11
10
10
00
00
11
00
11
10
10
01
00
10
11
10
00
00
10
10
11
01
01
11
10
00
01
10
10
00
00
10
10
00
00
00
00
01
00
00
10
00
00
11
10
10
01
01
11
01
11
10
01
01
10
01
00
01
00
01
10
10
10
00
11
00
01
10
11
00
01
10
00
10
11
10
10
10
01
11
11
01
10
10
10
01
10
10
00
00
01
11
11
01
10
00
00
11
00
11
11
00
00
01
00
00
00
11
11
10
00
00
11
00
10
10
10
10
01
10
10
10
10
00
11
01
00
10
10
00
00
10
10
00
00
10
01
00
00
10
11
10
10
10
00
11
10
00
10
10
10
11
10
10
00
00
00
11
10
11
01
01
10
01
01
01
10
10
00
01
11
11
11
00
10
10
00
10
00
11
10
11
00
11
00
00
10
11
10
01
10
10
00
00
00
11
10
01
01
11
11
10
10
00
00
01
10
10
00
11
11
00
10
00
10
10
00
00
10
11
10
10
00
10
00
11
00
10
10
00
10
01
11
10
01
10
10
10
10
00
00
01
11
11
00
01
11
11
00
11
10
01
10
10
01
10
01
00
10
10
00
10
00
00
10
11
00
10
10
01
00
10
11
00
10
10
00
01
10
00
10
10
10
01
00
01
00
11
00
00
11
00
00
11
00
00
10
10
10
00
10
00
01
00
00
00
00
10
10
11
01
01
11
01
00
00
10
11
01
01
10
10
01
01
10
11
00
00
00
10
11
00
11
00
11
10
00
00
01
10
10
00
00
11
11
00
11
10
10
10
01
00
11
10
01
00
00
00
10
01
00
00
10
11
11
11
10
00
00
11
10
10
00
10
10
00
11
01
00
10
00
01
00
00
10
00
10
10
00
00
00
10
10
11
00
01
01
01
00
00
10
10
01
00
00
10
11
00
11
01
00
11
00
00
00
10
11
00
10
00
11
10
01
10
11
11
00
11
10
01
11
10
11
01
10
10
10
00
11
00
11
10
00
01
01
00
00
00
10
10
00
10
00
00
11
01
10
10
10
00
10
00
10
11
01
00
00
10
10
11
00
00
01
10
10
00
01
00
11
00
00
01
10
10
01
00
10
10
10
00
11
00
00
01
10
11
00
01
11
10
11
10
11
01
01
00
10
01
00
10
00
10
01
10
10
00
00
11
00
10
10
00
10
10
00
11
10
00
00
10
11
01
00
10
11
10
11
10
01
00
11
00
01
10
11
00
00
00
10
10
11
10
00
01
01
10
10
00
00
01
00
10
10
00
01
01
00
11
10
00
10
00
00
00
10
11
01
00
10
00
11
00
10
11
10
11
00
01
10
10
00
01
01
11
11
01
11
10
01
01
00
00
10
10
00
00
10
00
10
00
11
00
00
11
00
00
00
01
10
00
00
00
10
11
00
11
10
11
11
00
00
00
00
10
10
10
00
00
00
11
10
10
10
00
00
10
00
10
00
10
00
01
10
11
00
11
10
11
11
00
10
00
01
01
01
00
00
10
10
10
11
10
00
00
01
01
01
00
11
01
01
10
10
00
11
00
10
10
00
01
10
00
00
00
00
10
10
10
10
00
11
00
01
01
00
01
10
00
00
10
10
00
00
10
01
00
11
10
00
01
01
00
11
11
10
00
10
10
01
10
01
00
00
10
10
10
10
10
00
10
10
00
00
11
10
00
00
11
10
10
01
00
11
00
10
01
01
10
10
11
00
10
10
10
01
11
01
10
11
10
00
00
01
01
10
00
10
00
00
11
00
11
01
10
01
00
11
10
11
00
11
00
11
10
00
00
10
10
10
00
10
11
10
11
00
00
11
01
00
00
01
10
01
10
01
11
10
11
11
01
01
10
10
01
10
01
00
10
11
10
10
00
11
10
10
10
11
11
00
01
00
01
00
11
10
00
10
11
01
00
10
11
00
00
11
10
00
10
10
10
01
00
11
00
01
01
11
11
01
00
00
01
00
10
10
00
11
11
01
00
00
10
10
00
00
10
10
00
00
10
11
11
00
11
00
11
10
11
11
11
00
10
11
10
01
01
11
10
10
00
11
11
00
00
11
00
00
00
10
01
00
01
00
00
00
11
10
10
00
01
11
00
00
11
10
10
00
10
00
10
10
00
10
10
11
00
10
10
11
11
10
10
10
01
10
10
10
00
10
11
10
10
00
11
00
00
00
00
00
00
01
01
00
01
10
00
10
11
01
01
10
11
00
10
10
00
00
10
00
01
00
11
11
01
11
00
10
00
10
11
01
01
10
10
11
00
10
00
10
10
00
10
01
01
00
00
11
11
00
00
11
10
01
00
10
10
01
10
01
00
11
10
10
11
00
10
01
10
10
00
11
00
00
10
11
11
00
01
10
11
01
00
10
00
00
10
11
00
10
10
00
10
11
11
10
00
00
10
01
00
00
00
00
10
11
00
11
11
11
00
00
11
11
10
01
10
10
10
01
10
11
10
00
00
11
10
01
10
10
00
00
10
10
10
01
00
10
00
00
11
11
10
00
00
00
10
10
10
00
10
11
11
00
01
00
00
00
11
11
01
01
10
11
10
01
01
01
00
10
10
01
00
01
10
11
10
00
00
01
10
10
00
00
00
01
11
00
10
11
00
00
01
11
10
01
01
00
00
01
10
10
10
00
10
11
11
00
00
10
00
01
10
10
00
00
00
10
10
01
11
00
10
01
11
10
00
01
00
11
01
10
10
10
00
00
10
10
10
11
10
01
10
00
00
10
00
01
10
00
01
10
10
11
10
01
11
01
10
11
00
00
10
10
00
00
10
10
00
10
00
10
00
11
10
10
10
00
01
01
11
00
00
10
10
11
01
00
10
00
10
00
01
10
10
11
01
00
01
00
10
10
00
00
01
10
11
01
11
10
00
10
10
11
00
00
10
00
00
10
00
11
10
10
01
00
11
00
10
01
10
00
10
10
00
10
10
10
00
11
00
11
01
00
00
11
10
10
00
10
10
10
11
01
00
00
00
00
11
00
01
11
11
11
00
00
00
10
10
10
01
00
10
10
10
01
00
10
00
00
10
00
10
11
00
00
01
11
00
00
00
11
00
00
00
10
10
00
10
10
10
00
10
00
10
00
00
11
10
00
00
01
10
00
00
00
11
11
00
11
01
01
10
00
11
01
00
11
10
10
11
11
11
10
01
01
01
01
11
10
00
00
10
01
00
10
10
10
01
00
10
11
11
10
01
10
11
00
10
01
11
11
01
01
10
00
01
10
11
00
11
10
11
10
01
01
00
00
10
11
00
10
10
10
11
10
10
00
10
10
01
10
11
00
01
01
00
10
10
11
00
00
01
10
00
00
10
00
11
00
10
01
00
10
01
00
00
10
11
11
10
11
00
00
11
10
11
00
10
10
11
11
01
01
00
10
00
10
00
01
11
11
10
00
10
10
00
01
11
10
10
10
00
10
10
00
10
10
11
00
11
10
00
01
10
00
11
01
01
10
00
00
00
01
11
00
00
10
00
11
10
00
10
11
00
00
00
10
00
00
11
11
11
01
00
00
00
00
10
00
00
10
00
00
11
10
00
01
10
01
01
10
11
10
00
10
11
01
00
10
11
10
10
10
00
01
10
10
00
00
10
00
10
11
00
01
00
00
10
01
10
10
11
00
00
11
00
10
00
00
10
11
00
11
00
00
11
00
11
10
10
00
00
00
00
10
10
00
01
10
00
11
10
00
10
10
11
00
01
10
01
01
10
11
00
10
00
10
01
11
01
10
01
10
01
00
11
10
10
11
10
11
10
10
01
01
11
11
01
00
10
10
10
01
00
10
01
10
10
01
10
11
00
11
10
01
10
00
11
10
10
00
00
10
00
00
11
10
10
10
10
01
01
10
11
00
00
11
00
00
00
01
10
01
00
01
11
10
00
11
10
10
00
00
10
00
10
00
01
11
10
10
00
00
00
10
10
00
01
00
10
00
01
00
00
00
10
01
00
01
00
01
10
11
01
10
10
00
11
11
00
00
10
10
00
11
00
00
11
10
00
10
10
10
10
10
11
11
00
10
00
10
10
01
11
00
10
10
11
10
00
00
11
11
00
11
11
11
10
11
01
00
00
11
10
00
01
10
10
00
10
00
01
10
10
00
10
01
10
00
00
00
01
10
00
10
11
00
00
00
00
10
10
10
10
10
00
00
10
11
10
00
00
01
00
00
11
11
10
10
11
11
10
00
00
00
10
00
00
11
10
11
10
11
11
10
00
00
01
10
10
00
10
10
11
00
01
00
00
00
10
10
10
10
00
10
10
11
10
00
01
00
10
11
01
00
01
10
10
00
00
01
00
10
10
10
10
01
10
10
00
01
00
01
00
11
00
01
10
01
01
01
00
10
11
00
00
10
00
01
10
10
01
10
10
10
00
00
01
00
10
10
10
11
11
00
01
00
11
10
10
00
00
11
10
00
00
11
00
10
10
00
00
10
10
00
10
00
00
10
00
10
00
01
00
10
10
00
10
01
00
11
00
10
00
10
11
00
10
10
10
00
10
00
11
00
00
10
10
10
11
11
00
11
00
11
00
00
00
10
00
01
11
00
11
10
00
11
10
01
01
10
10
10
01
01
00
11
10
01
00
10
01
10
01
01
01
10
10
10
00
00
10
00
11
10
01
00
11
11
01
01
10
01
00
10
11
01
00
10
00
10
11
10
10
10
10
01
11
11
01
01
00
11
10
00
10
00
11
10
10
00
00
00
11
11
01
00
11
00
01
00
00
00
10
00
10
10
10
01
10
10
00
00
00
00
01
10
00
10
10
01
10
10
00
10
11
10
10
00
10
10
00
01
00
11
10
01
01
00
10
10
10
00
00
10
11
11
00
11
10
01
00
10
11
10
01
10
00
00
01
01
01
10
10
01
01
10
00
00
10
01
10
00
00
01
10
01
00
11
10
00
00
00
00
10
10
01
01
10
10
11
11
00
11
10
10
00
00
00
01
00
10
00
01
00
10
00
11
11
00
00
00
00
11
00
11
00
01
00
01
00
10
10
00
10
00
00
10
01
10
10
11
10
11
10
00
11
10
01
00
10
00
10
10
10
10
01
01
10
01
10
11
01
10
10
01
10
11
10
00
10
10
00
11
10
00
10
00
00
01
10
00
00
01
11
01
00
10
11
11
00
01
00
01
10
10
10
01
00
10
00
00
10
10
00
10
10
11
10
10
00
10
10
11
00
00
10
10
10
00
00
10
00
00
00
00
10
10
10
10
10
00
10
11
11
01
00
01
10
01
00
10
11
01
00
00
10
10
11
10
01
00
01
10
10
11
10
11
00
01
11
11
10
11
00
00
00
10
10
00
10
10
00
00
11
10
01
11
00
10
10
00
11
00
00
00
10
11
01
11
10
01
01
00
00
00
00
11
10
01
10
11
01
00
10
00
00
10
11
00
11
10
10
01
10
10
00
10
10
00
01
00
01
01
00
10
11
10
00
00
10
10
10
10
00
10
00
01
00
01
11
10
00
00
01
10
00
00
00
10
10
00
10
11
00
10
00
11
11
00
00
10
10
10
00
01
10
10
00
00
10
00
01
00
11
00
10
10
10
01
00
10
10
01
00
10
00
00
00
01
11
00
11
00
11
01
00
11
00
10
11
10
01
00
10
11
00
01
00
11
10
10
10
01
01
10
00
10
01
11
00
00
00
11
10
00
00
00
11
10
10
00
11
10
10
10
10
10
10
00
10
00
10
00
00
11
00
00
00
10
10
01
00
11
10
00
10
10
10
10
10
01
10
11
01
10
10
10
00
10
00
10
01
00
11
00
00
10
11
00
11
01
00
10
10
10
00
10
10
10
10
00
11
11
00
00
00
10
10
10
00
00
10
10
01
01
01
10
00
11
10
11
00
01
10
00
10
11
01
01
10
11
01
10
10
11
11
01
10
10
01
00
11
00
10
11
00
01
00
11
10
01
10
11
10
10
00
01
10
11
00
01
10
00
11
10
11
01
01
11
00
00
10
10
00
11
00
01
00
00
10
00
10
00
10
10
10
01
00
10
10
11
11
01
00
10
00
10
10
11
10
00
00
11
00
10
10
10
10
00
10
00
00
00
00
00
10
10
10
00
01
00
11
01
10
11
01
00
00
00
10
00
11
10
00
00
00
00
11
11
10
11
00
10
00
00
10
00
10
10
10
00
00
10
10
10
00
01
10
10
00
10
00
11
00
00
10
11
00
11
11
11
01
01
11
01
01
10
00
00
01
10
11
00
11
11
00
11
10
01
11
10
10
10
00
00
01
10
11
01
00
10
10
11
11
10
01
11
10
00
11
11
00
01
11
11
00
01
10
10
00
00
00
11
10
00
00
00
00
10
11
00
00
00
10
00
11
10
00
00
00
00
00
11
10
10
01
10
10
10
00
10
01
00
11
01
00
00
10
00
00
11
11
10
10
10
10
01
00
00
10
11
10
11
00
01
11
01
00
00
10
00
01
10
11
10
11
00
00
11
00
00
10
01
00
00
11
11
10
00
11
00
10
11
10
00
00
00
00
01
00
00
10
01
11
01
01
00
00
10
11
00
00
11
11
00
00
10
10
01
00
10
11
01
11
00
10
00
11
01
01
11
10
10
00
01
11
10
01
01
10
10
11
10
01
00
00
00
10
10
01
11
11
10
00
10
10
11
00
01
10
01
01
00
11
10
01
00
00
10
10
00
00
10
10
10
10
10
00
10
01
10
00
10
01
11
11
11
00
11
10
11
00
00
10
00
01
11
10
10
10
10
00
10
11
01
10
11
10
01
01
00
00
00
00
10
01
10
11
11
01
11
00
00
10
11
00
00
00
00
00
11
00
01
10
01
01
11
10
10
01
00
10
11
10
01
10
10
11
10
11
01
00
11
01
00
10
11
00
01
10
01
11
11
00
10
10
00
01
10
10
01
10
11
10
00
00
00
11
10
01
10
10
00
11
00
11
00
01
10
01
01
01
10
10
00
01
00
10
01
10
00
11
11
10
10
00
11
00
10
01
00
10
11
01
10
10
00
00
10
01
00
11
00
10
00
10
10
00
11
01
11
10
00
00
10
11
01
10
10
11
00
11
01
00
10
10
10
00
11
10
10
10
01
01
11
10
00
11
10
10
01
10
00
11
01
00
10
00
00
00
10
10
10
01
00
00
10
10
10
11
10
00
10
00
00
01
01
01
11
10
10
00
00
01
11
11
00
11
10
00
00
00
00
10
10
00
00
10
10
00
11
11
10
00
00
10
00
00
00
10
10
01
00
10
00
01
00
11
10
01
10
10
11
10
00
00
00
01
10
10
01
10
00
01
00
11
01
00
11
10
10
01
01
11
01
10
10
00
01
10
00
10
10
10
10
10
11
00
01
01
10
10
10
10
11
11
01
00
01
10
00
00
00
10
10
11
01
00
10
00
00
10
10
00
10
01
11
00
10
10
00
01
00
01
10
10
00
10
10
10
10
00
10
11
01
10
10
00
10
00
00
11
10
01
11
11
00
10
00
00
11
10
10
01
01
00
00
00
10
01
01
10
00
01
10
00
00
10
00
00
10
00
00
10
01
01
01
11
00
10
11
01
00
00
11
11
00
11
10
00
10
10
01
00
10
10
10
01
10
00
10
11
01
00
01
10
00
00
10
00
00
10
10
10
10
00
01
10
11
00
00
11
10
10
00
00
11
00
00
00
10
00
00
10
11
10
00
10
11
01
00
00
00
00
01
01
11
10
00
01
10
00
10
10
10
00
00
11
10
01
00
10
00
01
01
11
00
11
10
01
00
01
10
10
00
10
10
11
10
01
10
10
00
10
11
00
10
11
00
01
00
01
10
00
00
10
10
11
10
00
00
01
11
01
01
00
00
10
10
10
10
01
10
10
10
11
00
01
00
10
00
00
11
00
00
00
11
10
10
10
00
11
01
00
10
11
01
11
00
01
11
00
01
00
00
10
00
00
00
00
11
01
00
10
10
11
00
01
00
10
01
01
00
10
10
00
01
00
11
00
11
10
11
00
01
10
00
11
10
00
11
10
00
10
00
00
10
11
10
00
11
00
10
10
00
01
10
00
00
01
00
01
00
10
00
10
00
00
10
10
00
00
11
01
11
11
10
00
00
11
10
10
00
00
00
00
11
10
11
00
10
00
00
10
10
00
00
10
10
10
01
11
10
01
11
11
00
10
01
00
10
10
00
01
00
11
10
00
00
10
11
01
11
11
00
10
01
00
00
00
10
10
11
00
11
10
00
11
10
01
01
00
11
00
01
00
11
10
10
10
00
00
01
10
10
10
10
11
10
11
00
00
10
11
00
10
10
01
00
01
00
01
10
10
10
10
01
00
11
11
11
00
01
10
10
10
00
00
10
11
00
01
01
10
10
10
10
10
10
00
11
11
00
10
00
00
00
11
00
00
11
10
10
01
10
11
00
01
11
00
01
10
00
00
00
11
10
10
01
10
10
10
11
01
10
00
10
00
11
00
00
10
10
00
00
10
01
10
10
10
11
00
11
10
00
01
11
01
11
10
00
10
11
00
01
10
11
00
11
10
01
00
10
10
00
00
10
01
01
10
10
01
00
01
10
00
11
10
01
10
00
01
00
00
10
11
10
10
00
10
11
00
01
11
10
00
00
10
00
00
10
00
00
11
00
01
01
00
00
00
00
10
00
00
10
10
00
00
10
11
01
01
11
01
00
01
11
11
10
00
00
10
10
01
00
10
00
00
00
01
10
11
10
10
10
00
00
10
00
10
01
10
10
00
10
10
00
10
00
00
10
10
00
10
11
01
00
11
10
00
00
10
10
00
00
10
11
10
00
00
11
00
10
11
00
00
10
10
10
10
11
01
10
10
10
00
10
00
00
00
10
10
00
11
00
00
00
10
10
11
10
00
10
11
00
00
10
11
01
10
10
00
01
01
00
01
11
00
00
10
10
11
01
00
10
10
01
10
11
00
00
11
10
11
10
11
01
00
01
10
10
00
10
10
01
00
11
10
00
00
01
00
00
10
10
11
10
10
01
10
00
10
10
00
00
00
10
10
11
01
00
00
11
00
10
10
00
00
01
11
01
01
01
00
11
10
11
10
01
10
10
01
00
00
10
10
00
00
10
00
10
11
01
01
11
10
10
00
11
11
01
10
00
00
00
11
10
00
01
00
10
10
11
00
10
10
01
10
10
10
11
01
00
10
01
10
11
11
00
11
10
01
01
11
10
01
10
10
00
00
00
10
10
01
00
10
00
10
00
01
10
10
10
00
10
10
01
10
10
01
01
10
00
10
10
01
00
00
01
01
11
00
10
10
00
11
11
00
00
01
10
10
10
00
11
00
00
11
01
00
11
10
00
11
11
11
10
00
00
10
00
00
11
10
00
11
10
10
01
10
10
01
10
11
01
10
00
10
00
00
11
10
00
00
10
01
10
00
10
00
00
01
00
11
00
10
11
01
00
10
10
00
01
10
10
01
11
10
01
00
01
00
10
00
10
00
00
01
10
00
11
10
01
01
00
10
00
01
10
11
00
01
00
10
10
10
00
01
00
11
00
10
11
00
10
00
00
10
10
00
00
00
10
11
01
00
01
10
11
00
01
10
10
01
00
11
10
10
10
11
00
00
10
10
00
10
00
00
11
10
00
10
00
10
01
00
10
10
00
00
01
00
00
10
10
00
00
11
10
00
00
11
10
10
10
10
10
10
11
00
00
10
00
10
00
11
00
11
01
00
00
10
10
00
01
10
10
11
01
00
01
10
11
10
11
00
01
00
10
00
10
01
00
10
10
00
10
01
10
01
10
10
10
10
11
00
00
10
00
00
01
00
11
10
00
00
00
10
00
00
00
00
10
10
10
00
11
01
00
01
01
10
10
01
01
10
10
00
01
10
00
10
11
00
00
00
01
00
00
10
11
10
00
00
01
10
10
11
00
01
11
10
10
01
01
00
11
10
10
11
10
00
00
00
01
10
11
10
10
10
01
01
01
11
10
00
00
00
10
10
01
10
10
10
10
00
10
11
10
01
00
00
00
10
01
00
01
10
10
01
01
11
00
00
10
10
00
00
10
11
10
01
01
10
00
10
00
00
01
11
10
00
00
01
10
00
01
00
11
00
10
10
00
01
00
10
11
00
00
00
00
10
10
10
00
10
10
00
00
01
00
01
11
01
00
10
01
00
11
00
00
10
10
10
10
10
10
10
01
11
10
11
10
11
00
10
00
00
10
11
00
11
00
10
01
10
00
01
01
10
10
00
01
10
00
10
00
01
01
10
11
11
10
10
10
00
10
11
01
11
00
00
10
01
01
10
00
01
01
01
10
11
10
00
00
00
10
11
11
00
00
10
00
10
00
11
11
01
01
00
10
00
00
01
10
00
11
10
00
10
11
10
11
00
10
01
00
10
11
11
00
10
01
00
01
10
00
01
10
11
00
00
10
11
10
00
11
11
10
00
11
10
00
11
10
00
00
01
01
10
10
00
11
10
01
00
01
11
11
10
01
00
11
00
01
11
10
10
00
10
11
00
00
00
11
10
01
11
00
10
00
01
10
00
00
10
10
11
10
01
01
11
00
00
10
10
10
00
00
00
10
00
11
11
10
11
00
10
00
01
00
01
00
10
00
00
10
10
00
00
10
10
11
00
10
00
00
11
10
01
01
10
10
10
00
11
00
01
11
00
10
10
00
10
10
01
00
10
10
01
10
00
01
10
01
10
10
00
11
10
10
00
10
11
01
00
00
10
00
00
00
10
10
11
10
01
00
00
11
00
00
01
00
10
00
00
01
11
10
10
00
00
10
00
10
10
10
00
00
00
00
10
11
10
01
00
00
11
11
00
01
11
11
11
01
00
00
01
00
11
11
01
00
00
10
10
00
10
10
01
00
01
00
11
11
10
00
00
00
10
00
01
11
00
00
01
10
11
00
00
10
10
10
11
00
00
11
01
00
00
11
11
00
11
01
11
10
11
11
01
11
10
00
00
11
00
00
11
10
10
00
01
10
10
00
01
01
01
11
10
00
11
10
00
11
10
00
00
11
00
10
11
10
10
00
00
01
11
10
10
10
01
11
10
01
01
00
11
01
00
01
10
11
00
10
10
01
10
10
10
01
00
01
10
10
10
10
00
00
10
10
10
00
00
10
01
01
00
00
11
00
00
10
01
10
00
00
10
11
00
11
10
01
00
10
11
00
00
11
10
00
00
10
00
10
01
00
00
10
10
00
01
10
11
10
10
11
00
10
00
00
10
11
01
10
10
00
10
10
10
00
00
10
10
10
10
10
10
10
00
00
11
10
10
00
00
01
01
01
00
10
01
10
00
10
11
11
10
01
10
01
01
10
01
11
00
00
00
10
10
11
00
00
10
10
10
00
00
11
00
01
10
00
00
00
00
00
01
10
10
01
10
10
10
01
00
10
10
10
10
00
00
00
00
10
10
11
10
10
01
11
11
00
00
00
00
10
00
10
10
00
11
10
01
10
00
11
00
11
10
00
01
11
11
01
00
10
11
00
01
10
10
00
11
00
10
00
00
10
10
00
00
00
11
11
10
00
11
00
01
00
10
10
11
11
01
01
00
01
10
10
01
01
01
11
10
10
01
11
10
10
01
00
10
11
00
00
10
10
00
10
01
10
10
11
00
10
00
01
10
11
00
10
10
10
00
01
00
10
00
00
00
00
00
11
10
01
10
11
10
00
01
01
11
10
00
00
00
10
10
00
00
11
10
00
00
00
00
11
10
00
10
10
00
10
11
01
00
10
01
01
10
00
10
01
10
00
10
11
01
00
10
10
10
10
11
00
01
10
00
11
11
00
01
00
10
10
10
00
10
11
01
01
00
10
10
10
00
01
11
10
01
00
10
00
00
10
00
10
10
01
10
00
01
10
10
01
00
11
10
11
11
01
10
01
00
11
00
00
11
10
01
01
11
10
00
00
00
00
10
10
10
01
00
00
00
10
10
01
11
00
00
11
00
11
10
00
01
00
10
00
11
00
10
11
00
00
10
01
11
11
01
00
11
10
00
10
10
00
00
01
10
11
11
10
00
10
11
10
01
10
00
10
10
10
10
11
00
01
11
00
00
00
10
00
00
10
00
00
01
00
10
11
10
00
01
10
00
01
10
10
00
00
11
10
00
00
00
11
10
10
10
11
10
00
01
11
01
01
10
11
00
00
00
10
10
00
10
00
00
10
11
00
00
00
00
10
10
10
10
00
00
11
10
01
10
10
00
10
10
00
11
11
11
00
10
00
00
00
10
11
01
01
10
10
10
10
10
01
00
10
11
11
00
11
10
01
00
10
00
10
11
01
00
11
10
00
01
10
11
00
11
10
11
10
10
10
00
00
10
11
01
00
11
10
11
10
00
00
01
10
10
10
00
10
10
00
00
10
00
01
10
00
11
01
10
10
00
11
10
00
00
10
00
10
10
11
10
11
00
01
11
10
00
10
01
00
01
11
10
01
10
10
11
10
00
01
10
10
10
00
01
10
10
00
00
11
00
10
00
01
10
00
01
10
00
01
10
10
00
01
10
11
01
11
00
00
10
00
00
10
11
01
00
01
00
00
11
00
10
10
11
00
11
10
01
00
10
10
10
10
11
00
10
00
10
11
00
11
01
11
10
10
10
01
00
10
10
01
10
10
10
00
00
00
00
10
01
00
00
00
11
11
00
10
10
00
10
11
10
00
11
10
00
10
10
01
11
11
00
11
10
10
00
00
11
10
01
01
10
11
00
10
11
11
00
10
10
00
10
10
10
00
00
10
10
00
01
11
10
11
10
10
10
01
01
11
01
01
10
10
00
00
10
00
00
10
10
01
00
10
01
10
10
01
00
01
11
00
11
00
00
10
00
01
10
00
01
10
11
10
00
00
11
10
00
00
00
00
10
11
10
00
00
10
00
10
00
10
10
00
00
11
10
00
01
10
10
10
00
00
01
01
11
11
10
10
10
00
00
00
10
10
01
00
01
00
10
10
01
10
00
01
10
00
00
11
01
10
11
10
01
00
01
10
00
01
10
01
10
00
00
00
00
10
11
10
10
00
10
11
01
10
10
11
01
00
01
10
00
10
11
10
00
00
10
11
00
10
01
01
10
10
10
00
11
10
10
01
01
11
10
01
11
01
01
11
11
01
10
10
00
10
00
00
00
10
01
00
11
10
00
10
10
00
00
00
10
11
11
01
01
00
00
10
10
00
00
11
11
10
11
10
11
00
00
11
00
01
00
10
10
11
10
01
10
11
01
11
11
01
00
10
10
00
00
00
10
10
00
10
01
01
00
10
00
10
10
00
10
01
01
00
10
00
00
10
00
11
11
10
01
00
00
00
01
10
01
10
10
00
00
10
00
01
10
10
00
00
00
11
01
00
00
11
10
10
11
00
01
10
00
10
10
00
10
01
11
00
01
01
10
10
01
01
10
10
10
00
10
10
10
00
00
01
01
11
10
10
10
00
00
00
00
10
00
00
10
10
10
00
00
10
01
00
01
01
11
00
00
00
11
00
11
11
00
11
11
10
11
00
00
10
01
01
10
10
00
00
00
00
10
10
10
10
01
00
01
10
00
11
01
10
01
01
10
11
01
01
10
00
01
00
00
10
11
11
00
00
10
01
10
00
01
10
00
00
00
10
11
00
00
11
11
10
01
10
10
10
00
01
10
10
01
00
01
11
00
11
10
00
10
00
00
00
00
10
10
00
01
00
01
00
11
11
10
00
10
00
00
00
00
01
00
10
11
10
10
00
11
01
00
10
11
01
00
10
00
11
10
00
00
10
11
00
10
00
01
10
10
00
01
11
00
11
11
10
10
11
10
10
00
01
10
01
10
10
00
01
00
01
01
10
00
10
00
00
10
10
10
00
11
00
01
10
10
11
00
10
10
00
01
10
11
01
00
10
00
11
00
11
10
11
10
00
01
00
11
11
11
10
10
01
11
01
00
00
10
10
10
11
00
00
01
00
00
10
10
10
01
00
01
00
01
00
10
10
10
01
00
10
10
10
11
01
00
10
10
00
00
01
01
10
10
00
00
00
01
10
00
01
11
10
00
01
11
00
00
10
01
00
10
00
10
10
00
10
10
00
01
10
01
00
00
11
01
01
00
00
10
10
01
11
01
00
01
00
10
10
00
11
11
01
01
00
10
10
11
10
00
00
10
11
11
11
00
10
00
11
01
00
10
11
00
00
01
11
10
11
01
00
01
10
00
00
00
11
10
11
01
00
11
01
00
00
00
10
10
11
00
00
11
01
10
00
11
11
00
11
00
00
10
10
11
01
11
10
01
00
11
10
00
00
10
10
00
00
01
01
00
00
00
10
00
00
10
00
01
11
00
10
00
10
00
00
10
11
01
10
01
10
01
10
11
00
00
10
11
00
10
11
00
00
11
10
00
01
00
10
10
10
10
10
01
10
10
01
00
10
00
11
00
01
11
00
10
10
11
01
00
10
10
01
01
11
11
00
00
10
10
10
00
10
10
00
00
00
10
00
00
10
00
11
10
01
00
00
00
10
10
01
10
01
10
01
10
01
01
10
10
00
10
00
10
00
10
01
01
10
00
00
10
00
10
10
00
10
11
11
00
00
10
10
00
10
10
01
11
10
01
10
00
10
00
00
00
11
10
00
11
10
00
00
10
00
01
10
11
00
00
10
10
00
00
10
10
00
01
11
00
00
10
00
00
10
10
01
10
10
10
01
11
11
00
00
10
01
00
10
00
00
10
01
01
01
10
11
10
00
00
10
11
10
10
00
10
11
00
01
11
00
01
10
00
01
10
11
00
00
10
10
00
11
10
11
10
01
00
00
00
01
01
10
01
10
10
00
00
11
10
00
11
10
10
11
00
00
00
01
10
10
11
10
01
01
01
10
10
10
10
10
00
00
00
01
10
10
00
00
10
10
01
10
10
10
10
00
00
00
11
01
01
10
11
00
00
10
00
10
10
10
10
10
01
10
00
01
01
11
00
10
00
10
10
00
00
10
00
11
00
10
10
01
10
10
11
00
00
11
01
11
01
00
10
00
00
11
10
00
00
00
01
10
10
01
10
01
00
00
10
10
11
10
10
00
10
10
11
10
01
11
00
10
00
00
11
11
01
00
11
10
10
01
00
00
11
10
11
00
11
00
00
10
11
10
00
11
01
00
10
00
10
01
00
10
11
00
00
00
11
00
10
01
00
00
00
01
11
11
01
00
10
00
11
11
00
11
00
01
11
11
00
11
10
00
10
11
11
00
10
11
00
10
00
11
11
01
00
11
10
11
11
01
00
10
01
00
10
10
00
00
10
10
10
11
10
10
00
00
00
10
10
11
00
11
10
11
10
10
11
00
00
10
11
01
11
10
00
00
00
10
11
00
00
10
11
10
11
10
00
01
01
01
11
01
00
10
00
00
10
11
00
00
10
00
10
10
10
00
00
11
10
00
00
01
00
00
10
00
00
11
10
01
10
00
00
10
10
11
00
00
00
11
10
00
10
00
00
11
01
10
10
00
01
00
00
00
01
01
10
10
01
00
10
10
10
00
10
11
01
00
00
11
11
10
10
10
00
00
10
11
10
00
10
10
10
00
10
11
10
01
00
10
11
01
00
10
00
00
10
00
11
11
01
10
00
00
11
10
00
11
11
00
11
11
00
10
10
10
00
00
11
01
10
10
11
00
11
00
01
11
10
11
01
10
01
10
11
10
01
01
10
01
00
11
00
00
10
10
00
00
11
10
10
10
10
00
01
00
10
00
00
00
00
01
10
00
11
00
10
11
00
11
10
11
00
00
11
10
10
00
01
00
00
00
10
01
10
11
00
10
10
01
10
11
01
10
00
01
01
10
10
01
10
10
11
01
00
01
10
00
01
00
10
10
00
00
10
10
00
10
00
01
00
00
10
10
11
00
00
01
01
00
00
11
01
00
10
10
00
11
10
10
11
00
01
11
10
00
00
10
10
11
00
00
00
11
10
00
00
10
00
10
01
00
00
10
10
01
00
01
10
01
00
01
10
11
00
01
10
10
11
11
11
01
10
00
10
10
10
11
01
00
01
01
10
01
00
11
00
11
10
00
10
00
00
11
01
11
00
01
10
01
10
10
10
10
11
00
10
10
10
00
10
10
00
00
01
10
01
10
01
01
00
10
00
00
11
00
01
00
00
10
10
10
11
10
00
00
11
00
00
00
00
11
11
10
01
00
10
10
00
00
10
01
00
00
10
10
01
11
10
00
00
11
00
11
10
00
11
00
01
00
01
10
01
11
10
00
00
11
11
10
01
00
01
00
10
10
11
10
00
01
10
10
10
10
00
10
11
00
00
11
10
00
10
10
11
11
10
01
10
10
10
00
01
10
11
00
01
10
00
10
11
10
11
01
01
00
11
10
10
10
01
01
10
01
00
00
00
00
10
00
00
10
01
01
11
00
00
10
00
00
10
10
01
10
00
10
00
10
11
00
01
10
11
10
00
01
10
01
00
10
00
10
00
10
11
00
11
10
00
11
01
00
00
10
00
00
00
10
10
01
10
00
10
00
00
00
01
11
00
00
00
01
11
10
00
00
01
00
00
10
10
00
10
00
00
01
01
11
11
10
11
00
01
11
11
00
01
10
00
01
11
10
11
10
01
10
00
01
00
10
10
00
01
11
11
10
01
11
11
00
01
01
10
10
00
11
10
00
01
00
10
00
10
01
00
11
10
01
00
01
10
10
01
11
01
11
00
00
00
10
10
00
00
10
10
11
10
01
11
10
01
00
10
11
10
00
10
00
01
10
10
00
00
11
11
01
11
10
00
00
11
10
00
00
10
01
01
00
10
00
10
10
10
00
01
10
10
10
00
11
00
10
00
10
10
10
10
11
01
11
00
10
00
00
00
10
00
01
10
10
00
01
01
01
00
00
00
00
00
00
01
10
00
01
10
00
10
00
00
10
10
11
10
10
10
11
00
00
10
01
00
01
10
11
00
00
10
11
01
01
10
00
11
00
11
00
00
10
00
10
10
01
10
01
10
10
00
11
10
00
00
00
10
10
00
01
10
10
10
00
00
01
00
01
10
10
10
11
00
00
10
10
00
00
00
10
10
00
10
00
10
00
01
11
11
01
01
11
00
11
11
01
10
10
01
00
10
11
01
00
01
00
10
01
00
10
01
11
11
10
00
00
00
00
11
00
00
11
10
01
00
00
10
10
01
10
00
10
10
01
10
10
10
00
00
00
10
00
10
11
00
01
01
00
00
10
10
11
11
00
01
01
10
10
00
00
11
10
00
10
01
11
00
00
01
10
00
11
11
00
11
10
01
00
01
01
10
01
00
11
10
11
00
11
01
00
01
10
10
10
10
00
11
00
00
10
11
10
00
10
00
01
10
10
10
10
00
00
10
11
10
00
10
01
00
00
11
11
01
10
00
00
00
00
10
10
00
00
00
00
10
10
10
10
11
00
11
10
01
11
10
10
01
01
00
10
00
10
00
10
11
11
10
01
10
01
11
00
11
01
10
11
01
00
00
11
10
01
00
10
10
10
11
00
11
10
10
00
00
11
11
01
01
00
00
00
00
00
00
10
10
10
00
10
00
10
11
11
11
01
00
10
00
00
10
10
00
00
11
00
10
00
00
11
11
00
01
01
11
00
10
11
00
00
10
10
00
01
10
01
00
10
00
00
11
10
10
00
00
00
10
10
10
11
01
00
00
11
00
00
00
11
10
10
10
00
01
01
00
11
00
11
00
00
00
10
10
00
10
10
00
11
00
11
10
11
00
00
00
10
00
01
00
00
00
10
00
01
00
11
00
10
01
00
11
01
11
11
00
10
10
00
00
00
10
10
00
10
10
01
00
10
00
10
11
10
01
10
10
10
11
00
01
10
11
00
00
10
00
10
11
00
01
00
11
10
01
01
00
10
11
00
00
00
10
11
10
10
11
00
00
11
10
00
01
00
00
10
10
00
10
00
10
10
01
01
11
00
10
00
01
00
00
11
11
01
01
11
00
10
10
10
10
01
01
00
10
01
00
10
01
01
00
11
00
01
00
11
10
01
00
00
00
11
10
00
10
10
10
01
10
00
00
10
10
00
01
00
11
01
00
10
01
10
10
00
01
11
10
01
10
00
01
01
10
10
01
10
10
11
00
01
10
10
00
10
00
10
10
10
00
00
01
00
01
11
10
10
01
10
00
01
10
11
10
01
11
11
10
00
10
10
10
00
01
00
10
10
10
11
00
10
10
01
00
00
10
01
01
01
10
10
11
01
11
00
11
10
00
00
10
01
10
10
00
00
10
00
00
00
11
10
00
00
10
00
00
11
10
10
00
01
11
10
10
10
10
10
01
10
10
10
00
10
01
00
00
00
11
00
10
00
00
00
11
01
00
11
11
11
10
01
01
10
00
10
11
00
01
00
10
10
10
01
00
00
11
11
10
10
10
00
10
10
11
00
00
00
11
00
01
01
00
01
00
10
00
11
11
10
01
00
10
10
00
01
01
11
10
11
00
01
10
11
10
01
01
11
10
00
01
11
10
01
00
00
11
10
11
01
10
10
10
10
00
00
01
11
10
10
00
00
00
10
11
10
10
01
00
11
10
00
11
01
11
00
00
11
11
00
00
00
11
10
00
01
11
10
01
00
10
11
10
00
01
10
10
00
00
10
10
00
01
10
10
00
00
10
00
00
10
00
10
01
11
00
10
00
11
00
10
11
00
00
10
01
01
10
10
11
01
01
10
01
10
11
10
11
10
00
00
11
00
11
10
01
00
11
11
00
00
01
10
10
00
00
11
00
00
00
10
10
00
00
10
00
10
10
11
10
00
10
10
11
11
10
01
10
10
10
10
00
00
10
11
11
11
00
00
10
00
10
10
00
00
00
01
10
00
10
01
10
01
01
10
00
00
00
10
10
00
10
10
00
10
10
11
11
00
10
10
11
00
00
10
01
00
01
11
11
00
00
01
00
01
10
01
11
01
00
11
10
00
00
10
11
00
10
10
10
00
10
01
10
00
01
10
11
11
10
00
01
10
01
10
10
01
10
00
10
10
00
10
01
10
00
11
10
10
11
10
10
10
10
11
01
00
00
01
00
10
10
00
00
10
00
11
11
00
10
01
00
00
10
10
00
01
10
00
01
01
10
00
00
10
11
10
10
00
01
10
10
00
10
00
01
01
01
01
01
01
00
10
10
00
10
10
00
00
00
10
10
01
10
10
01
00
00
01
01
10
10
00
11
10
00
00
11
00
01
00
01
11
10
10
11
00
01
11
10
00
11
10
11
10
00
10
10
01
10
10
00
10
10
10
10
00
01
00
01
11
00
01
01
10
10
10
00
01
11
10
10
00
10
00
01
10
11
00
10
11
11
01
01
11
10
00
11
00
10
00
00
11
10
01
11
10
10
10
10
10
01
10
00
00
10
10
00
11
01
00
01
00
10
10
11
10
00
10
11
11
00
01
01
10
11
10
00
11
01
00
10
11
01
00
11
10
10
10
10
00
01
00
10
10
00
10
11
10
00
00
10
01
00
11
11
10
00
11
10
10
00
00
00
10
00
01
00
10
00
11
00
00
10
10
01
10
10
10
10
01
01
01
00
11
10
00
10
00
11
00
01
00
10
10
01
10
10
11
01
01
11
01
01
00
00
00
00
10
10
00
10
00
10
10
00
10
01
00
10
11
10
01
00
11
10
00
00
10
11
01
01
01
01
11
01
11
10
00
10
11
01
00
00
11
01
11
11
10
00
00
00
10
11
01
10
10
00
10
00
10
10
01
01
11
10
10
01
01
01
10
10
01
00
10
00
00
11
01
00
10
10
00
10
00
10
10
00
00
00
10
11
01
00
11
10
01
10
01
10
11
00
00
01
10
01
01
11
11
01
00
10
10
10
00
01
10
11
00
01
00
10
10
00
01
10
00
00
00
01
11
10
01
01
10
10
10
00
10
11
00
10
10
00
10
01
10
10
11
00
11
11
01
10
01
11
01
10
01
01
10
10
00
10
01
10
10
00
11
01
01
01
00
01
10
11
01
00
11
11
00
10
11
00
11
10
00
00
11
11
01
11
10
11
00
01
10
00
00
00
10
00
10
10
00
01
10
11
11
00
00
11
10
00
11
10
10
01
01
10
00
11
10
00
11
01
01
10
00
00
10
01
00
11
10
00
00
11
00
00
01
11
00
10
11
00
11
10
00
11
11
10
00
11
10
01
00
10
00
11
00
10
01
11
10
10
10
00
01
01
00
10
10
10
11
10
11
10
10
10
10
10
01
00
10
11
00
10
10
00
11
00
01
00
00
00
00
11
00
10
00
10
00
10
00
01
01
00
11
10
10
00
01
01
11
11
11
00
11
00
11
10
10
00
00
10
10
10
01
10
01
00
01
01
10
10
11
00
00
11
10
01
00
11
10
10
01
10
00
00
11
10
00
01
00
00
00
10
10
01
10
10
00
00
01
11
00
11
10
00
00
10
11
00
00
10
00
10
10
00
11
10
00
00
01
00
01
00
10
10
01
01
00
11
00
00
10
10
10
00
00
10
01
11
10
10
00
10
10
10
11
01
00
01
10
00
00
10
10
00
00
10
00
01
10
10
10
10
11
01
11
11
10
00
10
00
10
10
00
00
01
10
10
00
10
10
11
11
11
10
00
11
01
00
00
10
10
01
11
11
00
01
10
10
11
00
10
00
10
10
11
00
00
01
01
00
10
11
01
11
01
11
00
01
10
10
11
10
01
00
00
00
11
11
10
10
01
10
00
00
11
01
00
10
00
01
00
10
00
10
00
01
01
00
11
10
10
10
01
10
10
00
01
11
10
01
00
01
00
10
00
11
10
11
00
01
01
01
01
11
10
11
00
10
00
00
00
00
10
10
10
10
11
01
01
11
10
01
00
11
10
01
00
11
01
10
01
01
01
01
00
10
00
10
10
00
00
10
10
00
00
11
11
00
00
00
11
00
10
10
00
11
11
00
10
01
00
11
00
00
00
11
00
10
00
00
11
10
01
10
01
00
00
00
11
10
01
00
11
10
10
10
01
00
10
00
00
00
10
00
00
00
11
10
10
00
00
00
11
10
00
11
00
00
11
01
00
11
01
10
00
10
11
10
00
00
10
10
10
00
00
00
01
00
00
01
00
11
01
10
10
00
10
10
10
00
11
11
00
10
00
00
10
00
00
11
10
00
00
01
00
00
01
11
11
10
00
00
10
00
00
11
11
10
10
10
00
00
00
10
10
00
00
10
00
00
00
00
11
01
01
11
11
10
00
10
00
00
11
11
00
11
00
00
10
01
10
00
11
11
11
10
01
10
11
10
01
00
11
00
01
10
11
10
10
10
00
01
10
10
00
10
00
00
00
11
00
01
11
11
10
00
00
00
00
10
00
01
11
00
01
00
01
10
10
10
10
10
01
10
01
00
00
00
10
00
01
00
10
11
00
11
10
10
00
10
10
00
01
11
10
10
10
11
01
01
00
00
10
01
11
00
01
00
00
01
11
11
10
00
10
00
11
10
10
00
00
00
00
11
11
00
00
00
01
10
00
10
00
00
01
00
01
10
10
10
11
00
10
10
00
10
11
00
10
01
01
11
10
01
00
01
00
10
01
00
11
01
00
11
00
00
01
10
11
01
00
10
10
00
00
11
10
00
00
10
00
01
10
11
00
00
00
11
01
01
00
10
00
10
00
00
11
10
00
00
01
00
10
10
00
00
10
00
00
00
01
01
10
10
00
10
10
00
10
01
00
00
00
00
11
11
01
10
00
00
11
01
00
00
10
01
00
01
01
10
10
00
11
00
00
10
10
11
01
00
00
00
11
00
00
11
01
00
10
11
11
10
00
00
00
11
11
11
10
10
10
10
00
00
01
10
10
11
01
11
01
10
10
00
00
10
01
00
11
10
10
00
00
10
10
10
00
11
10
10
00
00
00
00
00
11
10
01
10
01
10
11
10
00
10
00
01
10
11
01
00
10
10
10
10
10
01
01
10
11
00
10
10
00
10
10
01
11
01
00
10
10
00
01
10
00
00
11
11
10
00
01
00
11
00
00
10
11
11
10
00
00
00
10
10
11
11
00
00
01
00
10
00
00
00
00
01
10
10
00
11
01
01
00
01
01
01
01
10
10
00
00
11
01
10
00
10
01
01
10
10
00
10
00
01
10
10
10
00
01
00
10
00
10
11
01
10
10
10
00
00
00
10
11
00
01
11
11
01
11
00
00
01
11
11
00
00
11
11
10
11
00
00
11
10
11
01
00
01
01
10
11
11
01
10
10
01
10
01
00
01
10
10
00
01
11
10
11
00
10
10
10
01
00
10
10
00
00
10
00
01
00
10
10
10
10
11
00
10
10
00
11
00
01
11
00
00
11
10
00
01
11
01
00
10
00
00
10
00
10
11
01
00
11
00
00
00
00
10
10
11
00
01
00
00
11
10
11
11
01
10
10
00
11
00
10
00
00
10
00
10
00
01
01
01
11
11
00
00
00
00
01
10
11
01
01
01
00
11
10
10
00
00
10
10
01
01
10
00
01
10
00
01
10
11
10
00
01
10
11
00
00
10
01
11
11
11
01
00
00
01
00
01
01
11
10
00
10
00
01
10
10
01
01
11
00
11
10
00
01
00
00
10
11
10
10
01
01
10
10
10
00
00
00
00
10
10
11
11
00
00
01
11
01
00
11
00
00
00
10
10
01
00
11
10
10
01
00
10
00
11
10
01
11
10
10
10
00
10
10
10
10
00
10
00
10
00
00
10
01
11
10
01
10
01
10
10
01
00
01
11
10
01
10
11
10
11
01
00
10
11
10
01
01
10
00
10
10
10
01
01
11
10
00
10
00
01
11
00
00
10
11
10
01
00
10
01
00
00
01
11
10
10
00
10
00
00
11
00
11
11
11
01
00
10
01
01
10
01
01
10
00
00
10
00
11
10
10
00
01
10
10
00
00
10
01
01
10
10
01
00
00
11
10
00
10
10
10
10
00
10
00
01
00
11
10
00
00
01
10
10
00
01
11
10
11
00
11
10
00
00
11
11
01
01
11
01
00
10
00
10
11
01
11
11
00
01
11
00
00
10
11
00
10
00
00
00
11
00
00
01
10
00
10
00
00
10
11
10
01
01
11
10
00
00
01
10
10
00
00
10
10
10
10
00
01
11
10
00
10
00
11
00
00
01
10
10
01
00
10
11
00
00
01
00
10
00
10
00
00
11
01
01
11
00
11
11
00
00
10
10
00
10
10
11
11
00
10
11
11
00
11
10
00
00
10
10
00
00
01
10
10
00
11
11
00
10
01
10
01
10
10
00
00
00
00
00
00
01
10
10
01
10
10
10
00
10
11
01
10
00
01
10
11
10
00
00
10
10
00
00
10
10
11
00
11
10
00
10
00
01
10
00
01
10
00
00
01
10
10
10
10
10
00
00
10
01
00
00
00
01
10
00
11
10
10
01
00
00
11
00
11
01
00
10
11
00
10
10
01
01
10
10
00
00
10
10
01
00
11
11
00
01
10
10
00
10
11
10
00
00
10
10
01
11
10
10
01
00
11
00
10
10
00
10
01
10
10
00
10
11
10
10
01
00
10
01
00
00
00
10
11
10
10
00
00
10
01
10
00
01
10
10
10
10
10
00
00
11
10
10
01
00
11
11
10
10
00
00
11
01
01
10
10
10
00
00
10
00
00
10
10
10
10
11
11
10
01
11
10
00
10
11
10
00
11
11
01
00
10
00
00
00
00
11
10
10
01
01
10
00
11
00
00
10
10
10
00
11
11
01
11
10
10
10
00
10
11
00
00
11
00
00
10
00
01
00
10
11
00
01
10
00
00
10
01
11
10
11
10
00
10
11
00
00
00
10
00
10
11
00
00
10
10
00
11
00
00
01
01
01
10
10
00
01
00
10
11
00
01
10
10
10
00
00
10
10
00
10
00
00
00
11
00
10
10
01
10
10
10
00
11
01
11
00
10
10
01
10
11
01
00
10
11
01
10
01
01
01
10
10
11
10
00
00
00
10
00
11
00
01
10
11
10
00
11
10
11
11
00
01
11
00
00
10
11
00
00
10
00
00
01
00
01
10
10
01
00
10
10
00
00
10
11
00
10
01
01
10
00
10
10
00
10
00
01
11
01
11
00
00
10
00
01
00
10
10
10
00
00
00
10
00
10
11
11
10
00
00
00
00
10
10
01
00
00
00
10
10
10
01
11
00
01
10
00
01
10
00
01
10
10
10
10
11
11
00
10
00
01
00
00
10
00
11
10
10
10
00
00
00
00
10
10
00
01
00
00
10
00
10
00
01
00
01
11
00
10
10
11
00
10
10
00
01
10
01
00
10
10
11
10
01
00
11
10
01
00
00
00
10
10
00
10
00
10
01
00
10
11
11
01
11
11
01
00
00
11
00
00
10
10
00
10
11
00
11
00
10
01
00
11
10
00
00
00
10
00
11
11
11
11
00
00
00
01
00
10
10
01
01
01
01
00
01
01
01
10
00
00
10
11
10
10
00
00
00
10
10
00
00
10
10
11
01
00
10
10
01
00
01
11
11
00
01
00
10
10
00
10
11
01
01
00
10
00
11
10
10
11
00
10
11
00
00
10
10
10
00
00
00
00
10
00
10
01
11
01
10
00
00
01
00
10
01
01
01
11
01
00
00
10
01
00
11
11
01
00
10
00
11
11
01
10
00
01
10
11
10
01
01
11
11
00
10
00
00
10
11
10
00
10
01
00
01
00
11
00
11
00
00
00
11
10
01
10
11
00
11
00
00
00
10
11
00
00
00
00
11
10
00
00
01
10
01
11
10
10
10
00
01
10
10
00
00
00
11
10
10
10
10
10
01
01
10
11
11
00
11
11
10
10
00
01
00
00
11
01
00
00
01
10
00
10
01
11
11
01
10
01
00
00
00
10
11
00
10
10
01
11
11
10
10
01
10
00
11
11
00
00
00
10
00
01
10
01
10
11
01
01
00
00
01
10
00
11
10
00
00
10
10
01
01
10
10
01
11
00
01
11
00
01
10
00
00
10
11
00
00
10
11
00
10
00
00
10
11
01
01
10
10
10
10
01
00
10
11
01
00
01
11
11
01
00
10
10
01
00
10
00
00
00
01
11
10
11
00
00
00
00
00
00
10
10
10
01
10
10
11
00
10
00
00
11
00
00
01
10
10
11
10
01
11
11
00
11
11
00
00
10
10
11
10
00
00
10
10
11
10
10
00
00
11
00
10
11
10
11
10
00
00
10
00
11
00
00
01
11
10
10
11
00
01
10
11
00
10
00
10
10
10
10
00
10
11
10
10
10
10
00
10
00
00
10
10
10
01
00
00
10
01
01
10
00
01
10
11
01
11
11
00
00
10
11
11
00
00
10
10
11
01
00
10
10
00
00
11
00
01
11
10
00
11
10
00
00
10
00
00
10
01
01
10
10
01
01
00
10
10
11
00
00
00
11
10
01
00
00
11
00
01
11
10
01
00
01
10
11
00
10
10
00
10
11
10
01
00
11
10
00
10
10
00
00
10
10
00
01
00
01
10
10
10
00
10
00
01
01
10
01
10
00
00
10
10
10
11
00
00
10
00
10
10
00
10
10
10
00
00
10
10
00
10
11
01
01
00
10
00
10
01
00
01
10
00
00
00
01
10
10
10
01
00
00
01
10
11
10
00
01
10
01
10
01
10
10
00
00
00
11
10
01
11
00
10
00
00
10
10
00
11
00
10
10
10
10
00
10
01
01
11
10
00
00
10
01
00
10
10
00
10
01
01
10
10
01
00
10
11
10
10
10
00
01
01
01
00
00
01
10
10
00
01
01
00
11
11
11
00
11
01
10
10
01
01
10
10
00
11
01
00
10
00
00
11
01
10
11
10
10
10
00
11
00
00
00
11
11
10
00
01
10
00
11
00
11
11
10
00
00
10
10
11
00
10
00
01
00
11
00
10
00
00
10
00
10
10
01
00
10
00
00
11
00
00
01
10
11
00
11
00
11
00
10
10
00
10
10
11
00
10
00
01
10
10
10
10
11
00
00
00
11
00
00
01
10
10
01
11
01
10
11
00
01
10
01
00
11
00
00
00
10
00
00
10
11
10
01
00
10
11
00
11
10
11
00
10
10
01
11
11
00
10
11
01
10
10
00
00
10
11
11
10
11
01
00
00
00
00
10
11
01
10
00
10
00
00
11
10
00
10
00
01
11
01
10
11
10
00
00
00
01
10
10
00
01
11
11
00
00
01
11
10
01
10
10
00
01
10
11
10
00
10
00
00
10
00
00
00
10
10
00
00
11
10
10
10
00
10
10
10
00
00
11
11
10
00
00
11
11
00
01
00
01
11
10
01
10
11
01
00
10
00
10
10
10
01
11
11
00
01
11
11
00
01
10
00
00
00
11
10
11
11
10
00
01
10
10
10
00
00
00
10
11
10
10
00
01
00
00
11
11
00
00
10
01
10
10
00
00
10
11
01
00
10
10
10
00
11
10
00
01
10
10
11
00
00
00
10
11
01
10
10
11
00
10
00
10
00
10
11
00
11
01
10
00
00
01
10
01
01
10
10
11
10
11
00
01
00
00
10
10
10
10
10
01
10
11
11
10
00
11
00
10
11
00
10
00
00
00
10
10
01
00
10
11
00
00
00
10
10
00
00
10
11
10
10
00
10
10
11
10
11
01
01
00
01
11
00
01
10
10
11
10
00
00
00
10
01
00
00
11
11
00
00
10
01
00
00
10
00
10
10
00
10
00
00
10
11
01
10
11
10
00
10
00
00
10
00
00
11
10
00
10
00
10
10
10
00
10
00
10
10
10
10
10
11
00
00
10
00
11
10
01
01
00
11
10
10
00
00
11
10
10
00
00
10
00
10
11
00
01
10
01
10
10
00
01
00
00
01
11
01
10
01
10
10
11
10
11
01
01
10
00
00
00
10
10
00
00
10
11
11
00
00
10
10
01
00
11
00
11
01
10
00
10
11
00
01
10
10
00
01
10
00
11
01
11
01
00
10
10
11
01
11
10
01
00
01
01
00
00
10
00
10
01
00
10
11
00
11
11
10
00
00
11
10
00
00
10
10
01
00
00
11
00
10
01
00
10
00
00
10
10
01
11
01
10
00
10
10
00
00
00
00
01
10
11
01
01
00
00
00
10
10
00
10
10
10
01
10
10
00
00
01
00
00
01
10
10
00
11
10
11
00
01
01
10
00
01
10
11
00
10
10
01
10
00
01
00
10
11
00
00
00
11
01
11
01
10
10
10
01
10
11
01
10
10
00
10
01
00
00
10
11
10
01
00
11
00
00
01
11
01
10
00
10
10
01
00
00
10
10
10
01
11
10
00
10
01
00
10
10
01
10
10
10
11
01
10
11
00
00
10
10
10
00
00
00
01
00
00
10
00
00
10
01
10
00
11
10
10
10
01
10
10
00
00
01
10
10
01
00
10
01
10
11
11
11
10
00
01
00
10
10
00
00
00
10
10
00
11
10
11
10
10
00
01
11
10
01
00
10
00
01
11
00
01
10
00
00
11
10
10
11
10
00
10
10
01
11
10
10
10
10
00
10
00
00
00
00
00
01
01
01
01
11
10
10
01
11
01
00
10
00
11
00
00
11
10
00
10
00
01
11
10
11
00
00
00
11
10
01
00
00
01
11
00
00
10
10
00
10
00
11
01
10
00
01
10
10
00
01
10
00
11
11
00
01
00
10
00
01
00
00
11
10
01
00
10
01
10
10
11
11
00
10
10
00
01
10
00
01
10
10
10
10
01
00
10
10
01
01
11
11
01
10
00
00
00
11
00
01
11
10
00
10
01
01
01
01
10
00
00
00
11
10
00
01
10
10
11
01
10
10
11
00
00
11
10
01
00
00
10
10
01
10
01
01
10
00
01
00
10
00
01
11
10
00
10
10
11
00
00
00
11
01
01
00
11
01
10
10
10
10
11
10
00
00
10
11
10
00
01
10
00
11
00
11
00
00
10
01
00
10
10
00
10
00
00
10
00
01
10
10
01
10
10
10
10
00
11
01
00
11
10
11
01
10
00
01
01
01
01
10
11
00
10
10
10
10
01
10
00
11
10
11
10
10
00
11
10
01
10
10
10
00
00
00
00
11
01
01
00
10
00
10
00
10
11
00
10
11
00
00
00
00
00
00
00
10
10
00
00
00
00
00
10
10
11
10
11
00
10
00
10
10
10
01
00
10
00
01
10
00
00
11
00
00
11
10
11
00
00
10
00
00
10
10
00
10
10
00
10
10
01
10
00
11
11
01
11
00
01
01
10
10
01
10
10
10
11
00
10
01
00
11
10
01
00
00
10
00
01
00
10
10
01
10
10
10
00
01
00
11
10
00
00
01
10
10
10
00
11
00
00
10
11
00
00
11
11
10
01
01
11
11
00
00
10
00
00
00
01
00
10
10
11
10
00
00
10
01
10
11
10
10
00
01
00
10
10
10
00
00
10
10
10
01
11
10
01
11
00
11
10
00
00
01
11
01
00
11
10
00
01
11
10
00
00
11
00
01
00
10
00
00
10
10
00
00
00
01
10
00
00
10
00
11
11
00
11
00
00
00
11
10
00
11
01
01
11
11
11
10
10
01
00
11
10
00
00
01
00
10
10
00
00
10
10
00
01
00
10
00
10
10
00
10
00
00
00
01
11
10
11
00
01
11
00
01
10
00
00
01
10
10
00
00
00
01
00
10
01
01
11
00
11
10
10
10
00
00
00
10
01
01
10
11
00
01
00
00
10
10
01
00
10
10
00
10
00
00
00
11
00
00
00
11
00
11
10
00
10
10
10
10
00
10
00
01
00
00
10
10
10
01
11
01
10
01
10
10
00
00
10
01
11
10
01
00
00
10
01
11
11
00
10
01
00
11
10
00
00
00
00
11
11
11
01
10
11
01
01
00
00
11
10
00
10
10
01
00
00
11
10
11
10
00
10
10
00
11
11
00
10
11
11
01
00
11
11
10
11
00
00
00
11
10
01
00
11
11
01
00
10
00
01
11
00
10
10
00
00
00
10
10
10
00
10
10
00
10
11
10
00
00
10
10
10
00
00
10
01
01
01
00
10
01
10
11
01
00
11
10
00
00
11
10
00
00
00
00
11
11
11
00
10
10
01
00
00
10
10
00
00
00
01
10
10
11
10
10
00
11
00
00
00
10
11
00
00
00
10
10
00
10
00
00
01
11
11
10
01
11
00
10
10
00
01
01
10
10
00
10
10
10
10
00
10
00
11
00
01
10
11
10
10
00
00
00
00
11
11
00
00
10
00
10
01
10
11
00
00
00
00
00
01
10
10
00
11
00
10
00
10
01
01
00
10
10
01
01
01
10
10
01
00
00
01
01
10
10
00
00
10
11
00
00
11
10
00
10
10
10
00
01
00
01
10
11
00
10
01
01
00
00
11
01
00
11
00
10
00
11
00
10
10
00
11
10
00
00
10
11
11
10
01
01
01
11
10
11
01
00
00
10
10
00
10
01
01
11
10
00
10
10
00
00
10
10
11
01
00
00
10
11
00
00
01
00
11
00
11
11
00
00
10
01
00
10
10
10
10
10
01
00
00
10
10
10
00
00
10
10
01
00
11
10
11
01
00
11
00
10
10
10
00
00
10
10
11
00
10
10
10
00
10
10
10
10
10
01
10
01
00
11
11
11
00
01
00
00
01
00
10
10
10
00
11
10
11
00
10
00
10
00
10
00
01
00
01
00
11
11
11
00
00
01
11
00
11
10
01
10
01
00
10
01
00
01
10
10
00
10
00
00
00
10
10
10
11
00
11
11
01
00
00
10
11
10
00
00
10
10
01
10
00
00
00
01
11
11
11
00
00
10
00
00
10
11
00
01
10
10
10
00
00
00
00
10
10
01
10
01
10
00
11
10
00
01
10
10
11
11
00
00
00
01
10
01
10
11
00
11
10
00
10
10
10
00
10
11
00
10
10
00
01
10
00
11
00
01
11
11
11
10
01
00
00
01
01
10
11
01
01
11
10
10
00
01
11
00
00
01
00
01
10
10
00
10
01
10
11
00
00
10
11
01
10
10
01
10
10
00
01
00
00
11
00
01
00
10
00
00
11
11
00
00
10
10
10
10
01
00
10
00
00
10
00
10
11
10
10
10
10
00
10
00
00
10
10
10
01
00
10
10
00
00
01
11
10
10
10
00
01
11
00
11
10
01
10
01
01
00
10
10
10
01
00
10
01
00
11
11
11
00
11
00
01
10
10
01
01
01
10
11
11
11
00
11
00
11
00
00
10
10
10
00
00
11
01
11
11
00
10
00
10
11
00
01
10
00
00
10
11
00
01
01
00
00
10
00
00
10
11
11
10
00
00
00
01
11
10
00
00
10
10
10
00
00
10
11
00
10
00
00
00
00
10
10
10
00
00
00
10
01
10
10
10
10
00
11
11
00
11
00
01
10
01
11
00
11
10
11
00
01
10
11
01
01
11
10
10
00
10
10
10
00
01
11
10
11
01
00
00
10
10
00
00
10
01
01
00
10
10
01
00
11
10
00
00
10
00
00
00
11
10
01
10
10
11
10
00
00
11
00
11
00
00
10
00
00
10
11
00
00
01
10
01
10
00
00
01
11
10
00
01
00
11
10
00
00
10
10
11
10
00
10
11
00
00
10
01
10
00
00
10
10
10
00
00
11
10
00
10
00
00
10
01
11
01
01
00
00
11
01
10
10
00
01
10
01
01
11
00
00
11
11
01
01
11
10
00
00
11
00
10
10
01
00
10
00
01
00
01
10
00
10
00
00
01
10
10
01
10
00
10
00
00
00
01
01
00
00
00
11
11
11
00
00
11
01
01
10
00
10
10
10
11
01
01
10
10
10
11
00
10
00
01
00
01
10
10
10
01
11
01
10
00
00
10
00
00
10
10
10
10
00
00
11
10
10
10
10
10
00
10
00
00
11
00
10
11
10
11
01
10
11
10
11
01
00
00
01
00
11
11
10
00
10
11
10
00
01
00
10
10
11
00
01
10
00
00
11
10
00
10
10
11
00
00
00
00
00
10
00
00
10
11
00
01
01
11
10
10
00
11
01
01
11
10
11
01
01
10
00
00
10
11
10
11
10
01
01
11
11
00
01
10
10
01
01
11
10
00
00
10
10
11
10
11
00
00
10
01
00
00
01
11
10
00
00
01
10
11
01
11
10
00
11
10
01
00
10
10
10
00
00
00
10
11
11
00
00
00
00
00
01
10
10
10
00
01
01
01
10
01
00
00
10
10
01
01
10
11
10
00
00
00
10
10
11
00
10
10
10
00
01
10
10
01
01
11
11
00
00
01
10
00
10
10
00
00
01
01
10
10
01
10
10
00
00
10
10
00
00
10
10
10
00
10
00
01
10
11
01
10
10
00
10
10
10
01
10
10
00
00
00
11
00
01
01
00
11
10
00
11
00
01
00
11
11
10
00
11
10
01
10
10
00
00
01
10
11
00
00
10
10
10
10
00
00
00
00
11
10
00
00
11
10
11
00
11
00
10
00
01
01
10
00
00
10
11
10
01
00
10
11
00
10
00
00
11
00
00
11
10
00
00
10
10
01
11
00
00
00
11
01
00
10
11
00
00
00
10
11
01
11
01
11
10
01
10
00
10
10
10
01
10
00
10
10
00
11
10
01
00
10
10
00
10
10
10
11
01
00
01
10
00
10
00
01
11
00
01
00
11
01
00
10
10
01
10
10
01
00
10
00
11
00
01
11
10
10
01
10
00
11
10
01
01
00
11
10
01
01
00
00
11
10
00
00
10
00
00
11
10
00
11
00
00
00
11
00
10
10
00
10
00
01
10
00
01
10
01
00
10
10
10
10
10
01
01
10
10
00
11
10
00
10
11
00
00
00
01
11
10
10
01
00
00
01
00
00
10
10
00
00
00
10
11
11
11
01
01
10
01
10
11
11
00
00
11
11
00
10
10
00
00
00
10
11
10
00
11
00
00
00
10
11
00
00
00
11
10
10
10
00
10
11
01
00
01
11
01
10
10
10
00
00
11
00
11
10
00
00
00
11
10
00
00
10
00
10
00
00
00
00
10
10
10
00
10
10
00
00
11
00
10
00
00
10
10
10
01
10
10
00
00
00
00
11
11
10
11
11
00
11
11
01
01
11
10
10
00
11
00
00
10
00
10
11
00
10
00
10
00
00
10
01
01
11
01
00
11
11
00
01
10
11
00
10
11
00
00
00
10
11
00
01
00
00
00
10
11
10
10
00
10
10
10
00
10
00
11
01
00
10
01
00
10
10
00
00
00
10
10
00
00
11
11
11
01
00
11
00
01
10
10
00
00
10
10
00
00
00
10
01
10
01
00
01
00
10
11
00
10
10
10
00
01
10
11
00
11
10
11
10
10
01
01
11
10
11
00
01
11
10
10
00
01
10
00
00
10
00
00
00
10
00
01
00
11
11
11
11
10
01
00
01
11
11
11
00
00
11
10
00
10
10
00
00
00
10
11
00
10
01
10
00
00
00
01
10
10
10
01
01
00
10
00
00
00
10
11
01
10
10
10
00
10
10
00
00
00
00
00
10
11
10
11
10
00
00
10
01
01
10
10
00
11
01
01
01
00
00
11
10
01
00
00
01
10
00
00
11
10
11
00
10
01
11
10
00
11
11
00
01
10
00
00
10
10
11
00
00
00
11
01
10
01
10
00
10
10
00
11
10
00
10
10
00
11
11
10
01
10
00
00
01
10
10
10
00
10
11
00
00
10
01
00
01
11
10
10
00
00
00
01
10
10
00
10
01
10
11
00
00
10
00
10
00
00
11
10
00
00
11
10
00
11
10
11
11
00
10
11
10
10
00
01
10
10
01
01
10
11
10
00
00
01
00
11
10
01
11
10
11
10
00
00
10
10
00
01
00
10
11
11
10
01
11
00
00
00
10
00
00
10
11
01
00
00
10
01
00
10
00
11
11
11
01
01
00
10
10
00
00
10
10
01
11
10
10
00
01
00
00
10
10
00
00
00
01
00
00
10
11
00
01
10
10
10
00
10
00
10
11
00
11
10
10
00
01
11
00
01
00
01
11
00
10
10
10
11
01
00
11
01
11
00
10
01
01
10
10
10
10
00
00
00
01
00
10
11
10
10
10
00
00
11
00
11
01
00
00
00
10
11
00
00
10
10
11
11
00
11
00
01
10
00
10
11
00
00
10
10
11
10
01
00
11
10
00
01
00
10
10
10
11
10
00
10
10
00
10
00
00
01
00
00
10
10
00
00
00
10
11
00
10
10
00
11
11
01
10
11
00
00
00
01
10
10
10
00
10
10
00
10
00
00
00
00
11
10
01
10
00
00
10
00
10
10
00
11
10
10
01
00
10
00
01
01
01
11
10
00
11
11
00
10
10
01
00
00
10
00
10
11
00
00
11
01
10
11
10
00
00
00
00
10
10
01
01
11
10
01
10
00
00
11
10
01
00
00
10
10
00
11
00
11
11
11
10
01
01
11
10
00
00
10
11
00
11
10
10
11
10
01
00
10
10
10
11
10
00
00
00
01
00
01
00
10
00
00
00
10
10
10
10
00
01
01
00
01
11
10
00
10
00
11
10
00
10
11
01
00
11
11
01
11
10
00
01
00
10
11
01
01
00
00
10
00
00
00
10
11
10
01
11
11
10
00
10
01
00
10
00
00
11
00
10
10
00
01
11
10
00
01
00
00
11
10
01
01
00
01
01
10
11
10
00
00
00
10
10
00
01
01
00
00
00
10
10
01
11
10
10
01
00
10
01
10
10
10
11
01
00
00
10
00
11
00
00
00
10
10
11
00
10
10
01
11
10
10
00
10
01
10
01
01
10
00
10
10
01
10
10
00
00
00
10
10
00
10
10
00
01
00
11
01
00
10
01
10
10
00
00
01
10
00
10
10
00
01
10
10
10
11
01
10
11
00
00
10
11
10
10
00
00
11
00
11
10
00
00
10
11
00
00
10
11
01
00
10
11
11
11
11
00
01
00
01
00
10
10
10
01
00
10
00
10
10
11
00
00
10
01
10
10
10
00
00
11
10
10
10
01
10
11
00
10
01
00
11
10
00
00
00
00
00
10
10
10
11
10
00
00
01
00
10
10
00
00
01
11
10
01
01
00
01
01
00
11
00
10
10
01
00
10
01
00
00
00
01
10
01
00
10
00
00
00
10
10
10
00
01
11
10
01
11
11
10
00
10
00
00
10
10
00
00
11
11
11
11
10
10
01
00
00
11
10
10
01
00
11
00
00
00
10
00
10
10
00
11
10
00
10
10
11
10
01
00
00
10
10
01
01
10
11
10
10
00
00
10
00
00
00
10
10
10
10
00
01
00
11
00
10
00
00
01
00
01
00
10
11
01
11
10
01
10
11
10
00
01
10
00
00
01
10
01
00
10
00
11
00
10
11
01
11
00
01
00
01
01
00
10
10
00
01
10
00
10
10
01
00
10
01
00
01
01
11
11
10
00
10
00
01
11
11
01
00
01
10
01
00
00
01
10
11
01
10
00
10
00
10
10
00
11
00
00
00
10
00
00
00
11
11
01
10
01
00
00
01
00
10
11
01
10
10
01
00
00
10
11
10
10
00
01
11
10
10
00
01
10
01
00
00
10
10
11
11
01
00
10
10
00
10
11
10
01
01
01
10
01
11
10
00
00
11
10
01
00
00
10
00
11
10
10
00
00
10
00
10
00
11
10
10
00
00
10
10
00
01
01
00
11
11
01
00
11
10
00
00
00
10
00
10
10
00
01
10
00
01
01
01
00
11
10
10
10
01
10
11
00
10
00
11
10
00
00
11
01
00
00
11
00
00
11
00
01
10
00
10
00
10
01
00
10
00
00
11
11
10
00
10
11
01
00
10
10
00
00
00
01
10
11
01
10
01
11
00
10
00
01
01
01
11
10
00
00
00
01
00
00
10
10
00
10
01
00
11
11
00
11
01
00
00
10
10
10
00
00
01
10
00
00
10
01
11
11
01
10
10
10
10
00
00
11
10
10
11
00
00
10
01
10
11
10
10
10
10
01
00
10
11
10
00
11
00
01
00
11
00
10
00
10
00
01
00
10
00
00
00
10
00
00
10
11
11
10
01
11
00
00
10
10
10
10
10
01
01
00
00
10
00
00
00
11
01
10
10
10
10
10
00
00
10
11
10
11
10
01
00
01
00
00
10
10
10
00
10
10
10
11
00
00
10
00
10
10
01
00
11
01
01
11
01
10
01
10
11
01
01
11
10
10
10
00
00
00
11
11
10
10
00
01
00
10
10
00
11
10
01
01
00
11
01
10
11
01
10
11
01
01
00
10
10
00
00
00
00
11
00
01
00
01
10
11
10
00
10
01
00
01
01
11
11
00
00
11
11
00
00
11
10
00
11
00
10
10
11
00
10
10
11
01
10
11
11
01
10
00
01
00
00
10
01
10
00
10
00
01
00
00
10
01
01
00
00
11
11
01
01
10
10
00
00
10
00
01
11
10
11
10
00
10
01
01
00
01
10
11
00
10
11
10
10
01
11
00
10
00
00
10
10
10
00
11
01
10
10
01
10
01
00
11
10
10
01
10
11
00
00
10
01
10
11
11
01
10
00
00
10
00
10
01
10
00
00
10
10
00
00
11
00
11
10
10
01
01
00
00
00
00
11
00
00
11
11
00
01
10
10
10
01
00
01
00
11
01
00
10
11
01
00
00
00
11
01
10
11
11
10
11
00
00
01
00
01
10
00
00
11
10
01
01
10
00
10
00
01
10
10
10
00
10
00
11
11
01
00
10
00
00
00
10
11
00
11
00
00
11
01
10
00
11
11
00
00
10
00
11
10
01
10
10
11
00
10
10
00
00
00
00
00
01
10
10
01
10
10
10
01
10
00
11
00
00
10
00
00
11
00
01
11
11
10
11
00
10
10
01
00
10
10
00
10
00
10
10
00
01
01
00
01
00
01
01
10
10
00
01
10
10
00
01
00
00
00
10
00
10
01
10
01
10
10
00
10
01
01
11
10
10
11
01
11
00
01
11
10
01
10
10
00
01
01
00
01
11
00
10
00
00
10
01
00
11
11
01
00
11
01
10
00
01
10
10
10
00
01
00
01
11
10
10
10
11
11
00
01
00
10
10
11
00
10
11
01
00
00
10
10
00
10
11
01
00
10
00
00
00
00
10
10
00
10
10
11
11
11
10
10
01
00
10
01
11
10
10
10
00
11
00
10
10
00
10
10
01
00
00
00
00
10
10
00
01
10
10
10
01
00
01
10
11
00
10
11
00
01
10
00
00
10
10
00
10
10
11
00
11
11
01
01
11
01
11
10
00
00
10
00
00
10
11
00
00
10
10
10
00
10
10
00
00
00
11
00
10
10
10
10
10
10
00
00
00
00
11
10
01
00
11
00
11
10
11
01
01
11
11
01
00
10
10
00
00
10
10
10
10
00
10
11
00
01
01
10
01
00
00
00
01
10
00
10
10
11
00
01
10
01
00
01
10
00
10
10
10
00
00
10
00
00
11
10
11
10
00
00
10
00
00
10
10
10
01
00
10
10
11
01
00
01
10
00
01
10
10
10
00
00
00
10
10
00
10
00
10
01
01
10
00
01
00
10
11
00
00
01
00
10
00
10
11
01
00
10
11
10
10
10
00
00
01
11
00
00
00
10
10
10
11
10
01
01
00
10
00
11
10
00
00
10
00
10
10
10
00
00
11
11
10
00
00
11
01
10
01
00
10
10
10
10
01
11
11
00
01
11
01
00
10
00
01
11
11
10
10
00
00
01
10
00
00
10
10
01
10
00
10
10
11
11
01
01
01
10
00
01
11
11
00
01
10
10
10
00
10
10
10
00
11
11
01
10
10
00
10
10
01
10
00
10
10
01
10
10
11
00
10
10
10
11
01
00
11
01
00
10
10
01
00
10
10
10
00
10
01
01
01
11
00
11
11
10
10
01
01
10
01
00
10
10
00
00
10
11
00
00
01
00
00
00
00
00
01
11
10
10
10
00
00
01
10
00
00
10
10
10
11
00
00
11
10
11
00
10
10
11
00
10
00
00
00
00
11
00
10
11
11
00
00
00
00
11
10
10
00
10
11
10
10
00
01
10
11
00
00
11
00
00
11
00
00
00
00
10
11
11
01
11
10
01
01
00
11
00
01
00
00
10
00
10
10
11
00
00
10
11
10
10
00
01
00
00
11
10
00
00
10
01
00
11
00
11
10
01
00
10
10
10
11
10
00
10
10
10
10
11
00
10
10
00
11
10
10
01
00
10
10
11
00
01
00
01
01
10
11
11
00
01
00
00
10
00
10
11
10
00
11
10
00
10
11
10
00
00
00
00
11
00
00
00
11
10
10
01
10
10
00
00
10
10
00
11
10
01
10
10
11
01
10
00
10
01
10
11
01
00
00
01
00
01
01
10
10
11
11
00
00
11
10
00
01
10
10
00
10
10
00
00
11
01
00
10
11
01
10
00
10
00
00
01
00
01
11
01
10
00
01
11
10
00
10
10
11
11
01
11
01
00
00
10
10
10
00
00
00
00
10
11
00
00
01
01
11
11
10
11
01
00
01
01
10
11
01
01
10
11
00
11
11
00
00
10
10
01
10
10
00
11
00
01
00
10
01
00
11
00
11
10
00
00
10
10
10
11
00
00
00
01
00
00
11
00
10
10
00
00
11
10
10
11
10
01
11
10
11
00
10
01
10
00
01
10
11
01
11
10
00
00
00
01
01
01
11
01
00
11
01
10
11
00
00
11
10
00
01
11
11
00
01
01
01
00
10
10
01
10
11
11
00
11
10
11
00
01
11
10
00
00
10
11
01
00
00
10
10
00
11
10
01
01
01
10
00
11
00
00
10
11
00
00
00
00
10
00
10
11
00
10
00
10
00
10
00
00
11
01
10
10
00
10
01
10
00
01
10
10
10
11
00
01
10
01
01
10
11
10
10
00
11
10
11
00
00
00
10
11
11
00
11
01
00
11
10
00
00
10
00
00
00
00
01
11
00
10
10
00
00
10
11
01
10
01
00
00
10
10
10
01
00
11
00
10
00
10
00
00
00
10
10
00
11
10
00
00
01
00
00
00
00
11
10
10
10
00
10
10
10
01
10
00
00
10
10
01
10
11
10
11
10
11
01
01
10
11
01
01
11
10
01
10
10
00
01
10
10
10
01
01
01
01
10
11
01
11
00
11
10
01
00
01
00
00
10
10
10
01
00
10
00
00
10
10
10
10
11
00
00
00
11
00
00
10
01
00
00
10
10
00
10
01
11
10
00
11
11
10
10
00
01
11
00
01
01
10
11
00
10
11
11
10
10
00
01
00
00
10
01
00
10
00
10
00
00
01
10
11
11
10
10
01
10
10
10
00
10
00
01
10
00
00
10
11
10
00
00
11
10
00
00
11
00
10
00
10
10
00
01
00
10
11
11
11
10
00
00
01
10
10
00
10
10
10
10
00
00
11
10
00
10
00
11
10
11
10
00
00
00
00
00
01
00
10
00
11
10
00
11
01
10
00
00
10
10
10
00
01
10
10
01
00
11
10
00
00
10
10
01
10
01
10
00
00
00
11
01
01
10
01
00
10
11
10
10
00
00
10
00
00
01
00
01
00
01
11
00
11
00
10
11
10
01
11
01
01
01
00
00
10
10
00
01
00
01
11
01
01
01
10
11
10
11
11
01
10
11
10
01
01
11
10
00
00
10
00
00
00
10
01
00
00
00
10
11
01
00
11
11
00
01
10
01
10
11
00
10
00
10
11
01
10
00
01
11
01
10
11
11
00
11
01
00
10
00
10
10
11
00
01
00
11
00
01
11
10
01
00
10
11
01
01
11
11
00
00
01
10
10
01
10
10
11
10
01
11
10
11
00
10
10
00
01
01
11
10
11
11
10
10
01
00
10
10
01
11
10
10
00
11
10
00
01
00
00
10
01
10
10
00
01
01
10
10
10
00
00
10
00
10
10
01
01
00
00
10
10
11
10
00
10
10
00
00
00
00
00
11
10
00
10
10
00
10
00
01
01
10
00
01
00
00
11
10
10
10
10
00
11
00
00
10
11
10
00
11
11
00
10
10
11
10
00
00
11
00
00
00
10
01
01
01
11
01
00
00
01
10
00
00
11
11
00
01
10
01
00
01
01
10
10
00
10
10
10
00
10
10
01
00
00
00
00
10
10
00
11
00
01
11
10
01
00
00
10
10
01
11
00
10
10
01
00
01
10
00
01
10
10
10
11
00
10
11
00
10
10
10
00
10
10
00
00
00
10
11
10
00
10
10
10
00
10
10
01
00
01
00
00
00
11
10
01
00
10
11
10
11
01
01
11
00
11
11
10
00
00
10
11
10
10
00
00
10
01
00
10
00
00
10
10
11
00
10
01
01
10
00
01
00
11
11
10
01
10
10
01
01
11
00
11
10
10
00
10
11
01
10
00
11
10
00
11
01
00
10
00
01
10
01
10
11
00
01
00
00
00
10
10
01
00
00
11
10
01
10
10
10
00
00
01
10
10
00
00
10
10
00
00
10
11
10
10
01
01
01
01
00
10
10
00
10
10
00
00
11
00
10
10
01
11
01
10
11
00
01
11
10
11
00
01
10
01
01
10
01
10
01
00
00
01
01
00
00
01
11
10
00
00
10
10
01
10
01
10
01
00
00
10
10
11
00
11
10
00
01
10
01
00
00
11
01
01
11
10
01
10
10
01
11
10
01
01
11
01
10
10
00
10
00
00
01
11
01
00
11
11
10
11
01
10
00
11
11
01
01
11
10
00
00
01
00
10
00
00
10
11
00
01
01
10
01
11
00
10
00
00
11
10
00
10
10
00
00
00
10
01
00
00
00
00
10
00
11
10
11
00
10
11
01
00
00
11
00
11
10
11
10
00
00
00
00
10
10
10
10
00
10
01
01
00
00
00
11
00
00
10
10
00
01
00
00
11
11
01
10
10
00
00
10
00
10
01
10
11
00
00
10
00
01
01
11
10
01
00
00
00
10
00
01
11
11
00
00
01
00
00
11
00
00
01
00
11
00
11
10
11
01
10
11
00
01
11
00
00
11
10
00
00
01
10
01
00
10
10
11
11
10
10
00
00
10
00
00
10
10
10
00
01
00
00
10
01
10
11
10
00
11
10
01
10
10
00
10
11
00
10
11
00
00
01
11
10
01
00
00
10
01
10
00
00
10
00
00
10
10
00
10
11
10
10
00
00
00
10
10
10
01
00
00
10
11
01
00
10
11
00
01
10
11
10
11
10
10
00
00
00
11
00
01
11
10
10
00
10
00
01
11
11
00
10
00
11
10
10
00
00
10
11
00
00
01
10
00
11
11
01
10
00
00
10
10
01
01
10
01
01
10
00
01
10
10
10
00
11
10
10
01
00
00
01
10
00
10
10
11
10
00
11
00
00
00
00
10
10
10
11
01
10
00
11
00
10
00
00
00
10
10
00
01
00
10
11
11
01
01
00
10
00
10
11
10
00
01
10
10
00
00
11
10
00
01
11
00
00
00
01
10
10
01
00
00
10
10
10
00
10
00
01
00
10
10
10
00
11
10
01
00
00
10
00
01
10
00
00
11
10
00
00
10
01
00
01
10
10
00
00
11
00
01
10
10
01
00
11
00
01
11
11
00
00
11
10
01
00
11
10
00
01
00
00
11
01
00
10
10
00
01
10
01
00
10
10
10
10
00
10
10
11
00
00
10
10
10
00
10
10
00
00
00
10
00
10
10
10
00
00
00
00
10
10
01
11
00
01
10
11
10
00
00
01
01
11
10
11
00
00
01
01
10
10
00
00
10
10
00
01
01
10
11
10
11
10
00
00
01
00
10
10
10
00
00
10
10
11
01
01
00
00
00
01
10
11
10
00
00
00
00
01
10
11
10
00
01
10
10
10
10
01
00
10
00
10
00
01
11
10
11
00
10
01
00
01
11
00
00
10
10
10
00
00
10
00
10
10
00
10
10
00
10
00
00
10
10
11
00
10
10
01
11
01
00
10
01
00
01
00
00
10
10
01
01
00
11
00
10
10
10
11
01
00
10
01
00
01
01
00
10
11
01
11
11
01
10
11
00
01
10
11
00
10
10
00
11
10
00
00
10
00
00
01
10
11
10
01
00
10
00
01
01
10
11
10
11
00
00
10
01
00
10
10
00
00
00
10
10
10
00
11
10
10
10
10
01
10
01
00
00
10
00
00
10
10
01
10
11
10
11
10
10
10
00
00
10
01
11
11
00
10
00
10
10
00
00
10
11
10
01
10
10
00
01
11
01
00
10
10
00
00
00
00
00
10
01
10
10
10
10
00
01
11
11
00
01
00
01
00
10
01
10
10
00
01
10
01
00
10
00
11
00
01
11
10
11
00
10
11
10
00
11
11
00
01
00
10
10
10
00
10
00
00
10
01
00
01
10
01
10
10
10
10
10
00
11
10
00
00
10
01
00
11
11
00
10
10
00
00
10
10
01
01
10
10
11
10
10
00
00
11
10
00
00
11
10
10
10
00
00
10
10
00
01
11
11
00
10
10
01
11
01
01
10
00
10
00
01
10
10
01
00
10
00
00
01
10
10
10
01
00
00
01
10
01
10
00
11
11
00
00
00
10
10
11
10
00
10
00
00
11
11
00
10
00
11
11
10
00
00
00
01
01
10
10
11
00
01
10
00
10
10
10
00
01
00
10
10
00
01
11
01
00
00
11
10
01
00
00
10
10
10
01
00
10
10
10
01
11
10
00
11
10
00
01
00
10
00
10
01
00
10
11
10
00
01
01
11
00
10
00
10
10
01
11
10
01
11
00
01
00
10
10
00
10
00
00
01
01
10
01
00
00
10
10
10
11
01
01
00
00
10
00
11
00
11
10
00
10
01
00
10
10
00
10
10
10
10
00
00
10
00
00
11
11
11
00
10
01
11
10
00
00
00
00
01
11
11
10
01
01
11
10
11
11
11
10
00
00
11
10
01
01
10
10
00
00
00
10
10
01
00
10
01
00
11
11
10
10
11
11
01
00
11
00
00
01
00
10
11
10
00
01
00
10
00
11
10
10
00
00
10
01
00
00
10
11
00
11
10
00
10
10
11
10
00
00
00
00
01
00
11
00
01
11
10
10
10
11
00
00
11
10
00
01
10
00
10
10
01
01
01
10
00
00
00
00
00
10
01
10
10
00
10
00
00
10
00
11
00
00
10
00
00
00
11
00
01
10
10
10
10
10
01
00
10
00
01
10
01
00
01
00
00
11
00
10
10
10
10
10
00
00
10
00
01
00
00
00
10
00
00
11
00
11
11
10
00
11
00
00
00
01
00
11
11
00
01
11
11
10
00
01
10
11
01
11
10
11
10
11
11
00
00
10
10
01
10
10
10
00
01
10
10
00
00
00
01
10
01
11
10
10
11
00
10
00
00
10
00
00
00
00
01
10
10
11
00
10
10
01
10
11
10
10
01
00
01
10
10
00
00
10
11
00
11
11
01
10
00
01
10
10
00
11
11
00
00
00
00
00
10
10
00
00
10
00
00
00
10
10
00
10
00
11
10
10
01
00
11
11
11
10
00
10
11
11
00
00
10
10
00
10
01
00
11
10
01
11
10
00
10
00
00
00
10
11
00
10
10
10
00
01
00
00
00
11
10
00
10
11
00
00
01
10
01
01
11
11
10
01
10
00
00
11
11
01
10
00
01
11
11
00
01
10
10
00
10
11
01
01
10
01
11
11
01
11
10
00
00
11
10
00
00
10
00
00
10
00
01
00
00
01
00
11
10
10
00
10
10
01
10
10
10
01
00
00
00
01
01
10
01
10
10
00
10
01
10
10
00
11
01
00
10
01
00
11
10
11
00
10
11
11
01
00
10
11
01
11
01
00
10
10
11
10
10
00
00
10
10
10
01
00
00
00
00
00
11
10
01
00
00
00
10
11
10
01
01
00
01
00
10
10
10
00
01
10
11
01
10
00
01
00
11
00
10
00
10
00
00
10
11
10
00
00
01
10
00
01
10
00
00
01
01
01
00
00
10
00
00
11
10
01
00
10
10
11
10
10
00
01
10
11
11
00
10
00
00
01
10
10
00
01
10
00
10
00
00
10
11
11
01
00
11
01
10
10
10
00
01
01
10
10
11
10
01
10
01
01
11
10
10
10
00
00
11
01
10
01
00
00
10
10
10
01
01
11
10
01
10
00
11
00
11
10
11
00
01
11
10
01
10
01
01
01
10
11
00
10
00
01
10
10
01
01
01
00
01
11
00
10
00
00
11
10
00
10
10
00
00
01
10
00
10
00
00
01
00
11
00
01
01
10
00
11
00
01
11
11
10
10
11
00
01
11
10
11
10
10
10
10
00
00
00
00
10
00
10
11
11
00
00
01
00
01
11
10
00
10
00
10
11
00
11
01
00
00
00
11
10
10
00
01
10
00
11
10
00
10
01
00
00
01
01
10
00
01
10
10
11
10
10
00
00
10
00
01
00
10
10
10
11
00
00
10
00
01
00
00
10
01
00
00
10
10
00
00
11
00
10
11
11
01
00
00
10
00
11
00
00
10
10
10
01
11
10
11
11
11
10
11
00
00
00
11
01
00
00
10
00
10
00
00
10
11
11
11
10
00
10
00
11
10
01
01
00
10
00
11
10
00
00
11
10
11
00
00
10
01
00
01
10
10
00
00
10
10
00
01
00
00
00
00
11
10
11
01
00
01
11
10
11
10
00
01
11
10
00
00
11
01
00
00
10
00
01
00
10
10
11
00
10
11
00
01
01
00
11
01
10
10
01
00
11
00
00
10
10
10
00
00
10
11
00
11
00
00
00
11
10
01
10
10
11
10
00
00
10
10
01
10
10
00
00
00
11
00
10
11
00
11
00
10
01
00
10
10
11
00
10
11
01
00
01
10
10
00
00
11
00
00
10
10
00
10
00
00
01
10
10
00
10
00
10
00
10
00
10
11
00
11
00
00
10
11
11
10
11
10
01
00
11
00
01
01
11
01
01
10
11
00
10
10
00
00
10
10
00
11
01
10
10
10
00
11
01
10
10
00
00
00
01
11
00
10
00
10
00
00
10
10
00
00
10
10
10
10
00
01
01
11
00
00
10
00
00
10
10
00
00
01
11
10
11
10
01
10
01
00
10
10
00
11
11
00
00
11
10
00
00
11
11
11
00
00
01
11
10
00
11
10
10
00
01
00
01
00
10
00
00
10
10
01
00
10
10
01
01
11
10
10
11
00
11
01
01
10
10
00
00
10
00
11
11
10
10
00
00
00
10
00
00
11
11
00
10
10
10
00
10
00
11
11
01
10
11
10
00
00
11
00
00
10
11
10
01
00
11
10
00
00
11
00
10
01
11
00
00
11
00
11
01
10
00
10
00
00
01
10
11
10
10
01
01
10
10
00
00
10
10
10
00
01
11
00
10
01
10
10
00
10
10
01
11
10
00
01
00
01
10
00
00
10
10
10
00
01
11
00
10
11
10
11
10
00
00
10
00
00
11
10
00
01
10
00
10
00
00
10
10
10
10
01
00
11
00
10
00
10
00
11
10
00
10
01
01
11
11
00
01
00
00
10
00
11
00
00
10
11
10
11
00
00
00
00
00
10
10
01
00
10
01
10
00
10
00
00
00
11
10
10
00
00
01
10
10
00
10
11
00
10
00
11
00
10
10
01
00
00
00
10
01
01
10
00
00
00
00
11
10
10
01
00
10
01
11
10
10
10
01
00
11
00
01
11
10
00
00
10
11
00
10
00
00
00
11
00
00
01
10
00
00
10
01
10
00
11
10
11
00
11
10
10
01
10
01
00
10
01
11
01
01
11
11
10
10
10
01
00
10
10
00
11
11
00
00
00
10
10
00
10
01
11
10
10
11
10
00
01
00
10
01
01
10
11
01
11
10
00
01
11
00
01
10
11
01
10
10
11
00
11
00
01
01
00
11
11
00
01
00
01
11
01
00
00
00
10
11
00
10
10
10
01
01
10
00
10
11
01
00
00
11
11
00
11
10
00
10
00
01
11
11
00
00
10
01
10
10
00
00
10
00
00
00
00
10
11
10
00
10
10
11
01
00
00
10
10
11
00
10
10
00
00
11
00
01
10
10
10
00
00
11
00
00
10
00
00
00
00
11
10
00
11
01
11
11
10
01
00
10
10
01
00
11
10
10
10
10
00
10
10
00
11
10
10
00
10
10
10
10
01
10
10
00
00
01
00
11
01
10
10
10
00
00
10
11
10
10
00
00
10
11
10
11
10
00
01
11
10
00
11
00
00
10
10
00
01
10
01
10
11
10
10
00
01
00
10
10
01
11
01
01
10
00
00
10
01
10
01
00
10
11
00
01
10
10
10
00
11
01
01
10
01
10
10
11
10
10
01
00
11
10
00
11
10
00
01
00
10
10
00
10
10
00
00
00
10
11
00
00
10
00
10
01
10
00
10
00
00
00
10
10
10
00
10
00
10
11
11
11
01
10
00
10
10
00
01
10
10
10
00
10
00
00
10
11
10
00
00
00
00
01
00
10
10
00
11
00
11
00
10
10
00
10
10
10
01
01
11
10
10
11
01
10
00
01
00
10
10
01
10
10
11
10
00
11
10
11
00
10
00
00
01
10
10
01
01
01
00
00
10
10
10
11
00
10
11
00
10
00
00
11
00
11
10
00
01
00
00
01
00
10
00
11
11
00
01
01
10
10
00
00
10
11
01
10
00
11
10
11
10
00
11
10
00
00
01
10
10
10
10
01
11
10
11
00
00
10
00
10
01
01
10
10
00
10
00
01
11
00
01
11
11
10
10
01
10
10
00
00
10
00
00
01
00
10
10
11
11
00
11
00
00
01
11
00
10
00
00
10
10
11
00
01
10
10
11
01
10
10
10
00
10
00
01
10
00
11
00
10
10
11
00
11
10
00
00
10
10
00
10
10
00
10
00
00
11
10
00
11
00
01
01
01
10
01
00
10
11
00
01
00
10
10
00
00
01
11
11
00
10
10
11
00
11
00
01
01
00
00
11
11
01
10
11
00
00
00
01
10
11
10
01
00
00
10
10
00
00
11
10
11
01
10
10
00
00
01
01
10
10
10
00
10
11
00
01
10
11
11
11
10
00
00
10
11
00
10
11
00
00
00
01
10
10
10
11
00
01
01
01
10
00
00
01
10
10
10
10
10
10
10
00
10
01
01
00
01
01
10
10
10
10
01
00
10
00
10
00
01
11
01
10
11
01
10
11
00
10
10
01
11
10
11
00
00
10
01
10
00
01
10
00
01
01
10
00
00
10
00
10
00
10
00
11
00
01
10
10
11
00
10
00
01
10
00
00
11
10
00
10
00
00
10
00
11
00
00
10
00
10
00
10
01
00
00
11
01
00
00
00
10
11
10
00
10
00
01
00
00
11
10
00
01
01
11
00
00
10
00
00
01
10
11
01
00
00
01
01
10
11
01
00
00
10
00
00
10
10
10
11
00
00
11
10
00
10
11
10
10
10
10
01
00
00
00
11
00
01
10
11
00
10
10
00
01
10
11
00
11
00
11
01
00
11
11
01
00
00
00
10
11
00
10
10
00
10
10
00
11
00
10
00
10
00
01
10
00
00
01
10
00
00
10
10
01
11
00
10
10
01
11
11
10
11
00
11
01
11
00
11
00
01
11
00
00
10
10
01
10
10
00
01
01
10
10
11
10
10
01
10
00
00
01
10
00
01
11
00
10
10
11
00
10
10
00
10
01
01
11
00
00
00
01
11
01
00
10
11
00
01
00
11
10
11
00
10
11
00
00
00
11
10
00
00
10
11
11
10
00
01
10
11
01
00
10
10
10
10
00
01
10
11
11
10
01
11
00
10
01
01
00
00
10
11
10
10
00
00
01
01
00
10
01
01
11
10
10
00
00
10
00
11
11
11
10
10
10
00
00
00
10
10
00
00
00
01
10
10
10
00
01
10
10
00
00
11
10
10
10
01
01
10
10
10
01
10
00
01
01
11
01
01
10
11
10
00
00
10
10
01
10
10
00
01
00
00
01
10
00
00
01
10
01
00
11
00
00
10
00
00
11
11
01
00
00
11
00
00
10
00
00
01
00
11
00
00
11
10
11
01
01
11
00
11
11
11
00
00
10
11
00
10
00
01
10
00
01
10
01
00
00
01
01
10
10
00
10
10
01
00
10
11
00
10
11
11
11
00
00
00
11
10
00
11
00
01
10
10
01
00
10
10
10
01
00
00
00
11
11
11
10
01
00
10
10
00
11
10
01
00
01
10
10
10
10
00
11
00
00
11
00
00
10
11
10
01
00
10
10
00
01
10
10
00
01
00
10
10
00
00
00
11
00
10
10
01
10
10
00
00
00
00
10
11
00
10
01
00
10
01
10
10
00
01
00
00
10
10
10
00
10
00
00
11
11
00
10
01
00
00
10
01
11
10
11
00
00
00
10
10
00
01
10
01
00
01
11
10
00
00
10
11
10
00
10
10
10
11
01
01
00
10
10
10
10
11
00
00
11
01
10
10
10
00
10
01
00
11
10
10
10
10
01
00
00
10
10
00
10
00
11
10
11
10
01
00
11
00
00
10
01
11
10
00
01
00
11
11
00
10
00
11
01
11
10
00
00
01
00
10
10
10
10
00
10
10
10
00
00
10
10
00
01
00
11
00
01
10
00
01
00
10
10
00
00
10
11
00
11
00
10
00
10
00
10
10
00
10
00
00
10
10
10
01
11
01
10
00
10
10
11
00
01
10
00
10
00
11
10
10
00
10
00
01
10
10
01
00
10
11
10
11
00
01
00
10
00
00
01
10
01
00
10
01
10
11
00
11
10
10
10
00
01
10
00
10
10
10
01
00
10
11
11
10
10
00
10
10
11
00
10
10
00
00
11
01
01
11
10
11
00
11
00
00
10
10
01
00
00
11
01
10
10
01
10
10
01
01
10
10
00
00
11
01
00
11
00
11
00
00
00
00
11
11
00
01
00
00
11
00
00
11
11
01
00
11
10
11
00
00
01
00
00
10
10
10
00
00
10
01
10
01
00
10
00
00
00
00
00
10
10
10
00
10
01
00
10
01
10
11
10
01
01
10
11
10
10
00
10
10
00
00
11
00
00
11
10
10
00
00
10
10
01
00
01
00
11
10
01
00
10
11
00
10
10
10
00
00
10
10
11
00
11
00
01
01
00
00
10
11
00
00
10
10
00
01
10
00
00
11
10
01
10
10
10
10
00
11
11
01
00
11
00
00
10
10
00
11
01
01
10
11
00
00
11
11
10
00
01
10
00
10
01
01
10
01
10
00
00
10
10
10
00
01
00
10
00
10
10
10
01
00
10
01
10
01
00
11
11
01
10
10
01
10
01
00
10
10
10
00
00
10
11
00
01
01
01
00
10
01
11
00
01
00
01
10
00
10
00
00
10
00
10
11
10
10
00
10
01
10
01
11
10
00
00
10
11
01
00
11
10
10
00
11
00
00
01
10
11
01
00
10
11
00
00
00
10
11
10
01
10
00
00
11
10
11
00
10
01
01
10
01
01
10
10
10
11
00
11
10
10
00
01
10
00
01
10
10
10
00
00
11
00
00
10
10
11
10
10
00
01
10
00
00
10
01
11
11
01
00
00
01
00
10
10
10
00
11
00
11
10
11
11
10
10
00
10
00
01
00
10
01
10
10
00
00
11
10
00
10
11
10
11
00
00
00
00
01
11
00
10
11
10
10
10
00
11
10
10
00
00
00
00
11
11
11
01
10
01
00
01
10
10
00
01
10
10
00
00
00
11
10
11
00
01
00
11
00
00
00
10
00
00
00
11
10
01
01
10
10
10
01
11
00
00
10
11
00
01
01
10
00
00
10
00
01
10
11
10
01
00
00
10
00
10
10
00
00
11
01
10
01
00
10
00
00
10
00
10
10
11
01
01
01
10
11
11
10
00
00
10
10
11
01
10
01
01
00
10
01
10
10
01
00
01
01
00
00
10
10
00
11
11
10
11
00
00
10
00
01
11
00
00
11
10
10
00
01
00
10
11
00
01
00
10
01
01
00
10
00
00
01
10
10
10
00
10
01
00
10
01
01
10
01
10
10
10
10
00
00
00
11
11
10
10
10
11
01
01
00
10
00
10
00
00
10
10
10
11
00
00
01
01
10
10
10
01
00
00
01
01
00
11
10
01
10
11
00
10
11
00
10
11
01
00
11
00
01
10
00
00
01
11
10
10
10
10
00
00
11
00
00
10
01
10
11
10
01
10
00
00
10
01
00
10
10
10
11
10
10
10
10
00
01
00
11
11
00
00
01
11
00
10
11
00
00
00
00
11
11
01
01
10
10
10
00
11
10
00
00
00
10
00
11
10
00
00
10
00
10
11
00
10
11
01
10
10
11
00
01
10
10
11
01
00
11
11
01
01
11
10
00
01
10
00
00
10
11
00
11
10
01
11
01
11
01
01
11
10
00
10
10
10
00
11
00
11
11
01
00
00
00
10
00
00
11
10
00
10
01
10
10
00
10
10
00
10
10
10
01
10
11
00
00
10
00
00
10
10
00
11
01
11
00
11
11
00
11
10
11
00
00
00
00
00
10
10
01
00
01
00
00
00
01
00
11
10
11
10
01
10
01
00
10
10
10
10
11
10
00
00
10
00
00
00
11
00
00
10
11
11
01
11
01
00
00
00
10
00
10
10
00
00
00
00
10
11
00
10
10
11
10
00
10
10
10
00
00
00
11
10
00
10
10
10
01
11
10
01
00
10
00
10
10
11
00
01
10
10
00
00
00
00
11
11
01
00
00
11
00
01
10
01
00
01
10
10
10
01
00
10
00
11
11
00
10
00
00
00
00
11
00
10
11
00
10
10
11
10
11
10
10
10
01
10
10
00
00
10
10
01
10
11
10
11
00
00
01
00
01
10
00
00
01
10
01
10
10
01
01
10
01
10
00
01
10
00
10
10
00
10
10
00
01
00
10
01
00
01
00
10
10
11
01
00
00
10
10
00
00
10
11
10
00
01
10
00
01
00
10
01
11
10
10
00
10
11
11
00
01
10
00
01
11
11
00
01
10
11
00
00
11
01
00
10
10
00
00
01
10
01
00
11
11
10
01
00
00
10
11
10
00
10
10
00
11
00
00
00
11
11
11
00
11
00
11
11
01
10
11
10
10
00
11
00
00
10
00
00
00
11
10
10
11
01
00
10
01
00
01
00
00
00
01
11
00
00
10
10
11
01
11
01
10
11
01
10
10
01
01
10
00
10
00
10
10
00
00
11
11
10
11
11
00
10
10
10
00
11
10
01
00
00
00
10
00
10
11
00
10
01
10
10
10
10
01
10
10
00
10
00
00
10
11
10
00
10
10
00
10
11
10
10
00
01
10
01
10
10
00
01
11
11
01
00
00
01
11
11
11
01
00
00
10
11
11
00
10
11
00
00
10
11
01
00
11
00
10
01
01
01
11
11
00
11
00
00
10
11
11
11
10
10
11
11
00
00
10
00
00
10
10
10
01
10
01
11
00
11
10
00
10
01
00
00
10
11
11
00
11
10
00
00
10
00
10
11
00
10
11
10
01
01
11
01
11
11
01
01
10
00
00
11
10
00
00
01
11
10
11
10
00
00
10
10
01
00
00
01
10
11
11
00
01
00
10
01
10
00
11
11
00
10
00
10
01
11
00
00
01
10
10
10
10
10
01
01
11
01
01
01
01
10
10
10
00
10
00
00
10
10
00
01
10
10
00
10
01
10
10
00
01
10
11
01
00
01
10
11
10
10
00
00
00
11
11
10
00
10
00
00
11
10
00
01
01
10
10
10
00
01
10
10
10
10
00
10
11
00
01
00
01
00
10
00
00
10
10
00
10
01
00
11
01
00
01
00
10
00
00
10
11
01
11
00
10
11
01
00
01
01
00
00
10
11
10
11
00
11
11
11
00
01
11
11
10
00
00
00
10
10
00
00
10
10
11
10
10
01
10
00
01
00
10
10
01
00
01
10
00
10
10
00
10
00
10
00
01
00
10
10
11
10
00
00
10
10
10
00
01
10
10
11
11
00
11
11
01
11
10
11
01
10
11
01
00
01
10
10
11
00
00
10
00
10
00
00
01
01
00
11
00
10
10
10
00
00
10
10
00
00
10
11
11
01
10
10
10
10
10
11
00
01
10
01
10
10
00
10
01
01
10
10
00
10
10
00
10
10
01
01
01
11
10
01
10
10
10
10
00
01
10
00
11
10
00
00
10
10
10
10
01
00
10
00
10
10
11
01
01
10
10
00
01
00
11
10
00
00
00
10
10
00
00
11
10
00
01
10
00
01
10
11
01
11
10
01
01
10
11
00
00
01
10
11
01
00
10
10
10
00
10
10
00
10
01
10
10
01
10
01
10
11
00
01
00
10
00
00
00
10
00
01
10
11
10
11
11
11
11
10
11
01
01
11
10
00
00
01
01
10
11
01
01
01
00
10
11
00
01
10
01
10
10
00
10
10
00
01
10
00
10
00
11
00
10
10
11
11
00
00
01
10
10
00
01
00
10
10
00
00
11
10
10
10
00
00
00
00
10
00
00
00
00
00
11
00
01
10
10
11
00
01
10
01
10
10
10
00
00
01
00
10
10
00
11
00
00
10
10
01
10
00
00
00
10
11
11
00
11
11
10
00
00
00
11
00
00
10
10
00
11
11
00
00
10
00
00
10
00
00
00
10
01
11
11
11
10
00
00
00
00
00
01
00
01
01
10
10
11
00
00
00
11
10
11
00
00
11
10
00
10
11
00
00
00
11
10
00
01
11
00
11
10
01
01
10
01
10
11
00
00
10
10
00
00
00
10
10
01
01
10
01
10
11
11
01
10
00
00
00
11
11
01
01
10
00
01
10
10
11
01
00
10
01
11
01
01
01
11
11
00
10
00
00
11
11
01
00
11
11
00
00
01
10
10
01
10
10
01
10
10
00
01
00
01
01
11
01
00
01
00
00
10
01
01
11
10
00
10
01
00
11
10
00
00
00
00
11
11
00
10
10
00
11
11
00
10
10
01
01
10
10
00
00
11
00
11
10
10
00
10
01
11
10
01
00
00
10
11
00
00
10
10
10
11
10
00
00
11
01
11
01
11
10
11
00
01
10
00
00
10
00
10
01
01
01
10
00
01
00
01
11
01
11
00
11
10
00
00
10
01
00
00
11
01
01
10
10
10
00
00
01
00
00
11
00
10
00
00
10
00
01
10
11
11
11
00
10
10
00
01
11
10
01
10
01
01
00
11
00
10
11
00
01
00
01
10
10
00
00
01
10
11
10
00
10
10
10
00
00
10
10
00
00
10
10
10
00
00
10
00
01
10
10
00
10
10
10
01
01
11
10
01
00
10
10
00
10
11
00
00
00
10
01
00
00
11
01
10
00
00
00
00
10
00
10
00
10
01
11
11
01
00
01
01
11
10
01
00
00
11
11
00
01
01
10
10
00
11
00
11
10
00
11
01
00
00
01
10
11
00
00
00
01
01
11
11
01
01
10
00
00
10
01
00
10
10
01
01
01
11
00
00
11
00
11
00
01
11
11
01
00
00
10
10
00
00
10
11
00
10
00
01
00
10
01
10
10
01
00
00
10
10
10
10
00
10
00
00
11
00
00
10
00
01
01
11
00
11
00
11
00
00
10
11
00
00
11
11
11
00
10
10
00
01
10
10
00
00
00
11
00
00
01
11
00
11
00
11
10
10
01
01
10
10
10
00
10
10
00
00
11
00
11
01
01
00
10
11
00
10
10
00
01
10
10
00
01
11
00
00
10
10
11
10
11
01
00
01
10
01
10
00
11
00
00
10
01
00
00
11
01
10
00
11
10
00
10
01
00
11
10
10
11
11
01
00
10
00
10
00
01
01
10
10
10
10
00
10
01
00
10
10
00
10
01
10
10
11
10
00
10
11
00
10
10
01
11
00
01
11
10
00
00
01
00
10
11
10
00
00
01
01
11
00
11
10
01
00
10
00
00
10
10
11
00
10
10
11
00
11
00
01
00
11
10
00
10
00
01
00
00
00
00
10
01
00
10
10
10
00
01
10
00
00
01
01
10
00
01
11
10
00
01
10
00
00
10
10
00
00
01
11
01
10
01
11
11
00
01
11
10
10
10
01
00
10
11
01
00
11
00
10
00
10
10
01
10
10
10
11
01
10
00
00
00
10
01
00
10
10
01
01
00
10
00
00
11
10
10
00
10
10
00
01
10
00
00
11
00
00
00
01
10
00
10
10
11
10
01
01
11
01
11
10
01
01
00
01
10
10
01
11
00
10
00
00
10
10
01
01
00
11
10
00
10
10
01
00
10
00
10
00
10
00
11
00
10
00
10
11
10
00
10
10
10
01
11
10
00
01
11
01
00
10
00
11
10
10
11
00
00
10
00
00
10
10
01
10
00
01
11
00
11
00
10
10
10
10
00
10
11
10
01
11
00
10
01
10
00
00
10
01
00
10
00
00
10
11
01
10
10
00
00
10
00
00
11
11
01
00
01
00
00
01
11
11
11
11
00
11
11
00
10
00
01
00
00
11
01
01
00
01
00
11
10
00
10
11
11
00
00
10
01
00
01
10
10
00
10
10
00
00
10
01
11
00
00
01
00
10
00
00
10
10
10
11
11
00
00
01
01
11
00
00
10
01
10
10
11
10
11
10
10
01
01
01
11
00
10
11
10
00
11
10
00
00
01
10
00
01
10
11
10
10
00
10
10
00
00
10
01
10
00
01
11
10
11
01
10
10
00
00
00
01
11
10
10
00
00
00
10
11
01
10
00
11
11
01
11
00
10
10
01
11
00
00
10
10
10
10
00
10
10
00
10
01
10
00
10
10
11
00
00
11
10
10
10
01
10
10
01
00
01
01
10
01
10
10
00
11
10
11
01
01
10
10
10
10
00
01
01
10
11
11
10
11
11
00
11
10
00
11
11
00
00
00
10
11
00
11
11
10
10
01
00
11
11
00
01
11
01
01
01
10
11
10
00
00
00
00
10
10
10
10
01
10
10
00
10
10
01
00
10
00
10
00
10
00
00
00
10
10
10
00
00
10
11
10
01
10
10
01
10
11
11
00
00
11
11
01
00
10
00
01
01
00
00
10
00
10
11
00
11
00
10
01
00
01
11
10
01
10
10
11
10
00
10
10
00
00
00
00
11
10
11
10
11
10
10
01
00
11
00
01
01
01
10
10
10
01
10
01
00
10
00
00
00
10
01
01
01
11
00
11
10
01
00
01
10
10
00
00
01
10
10
00
01
00
10
10
10
00
01
00
11
11
10
11
10
10
01
10
10
00
01
00
00
10
10
10
10
10
01
10
00
00
10
10
11
00
00
10
10
10
01
00
11
10
00
10
11
10
00
00
11
10
00
00
00
00
01
00
11
11
10
11
10
11
01
10
10
11
10
01
11
10
10
10
00
00
00
10
01
00
11
01
10
10
00
10
00
00
00
01
01
10
10
01
10
01
10
00
10
11
10
11
10
01
00
00
11
00
01
10
00
00
00
00
10
10
11
00
00
11
10
00
10
11
01
00
00
10
00
10
01
11
10
01
11
01
10
11
10
11
10
10
00
01
10
01
00
10
00
01
00
10
10
00
10
10
00
01
00
10
11
01
00
10
10
10
10
10
00
01
10
00
00
00
01
10
01
00
01
00
00
11
00
10
10
10
01
00
11
00
00
10
10
10
10
00
00
00
00
10
10
01
00
10
10
01
01
00
10
10
00
11
10
00
00
10
01
10
00
00
10
00
00
10
11
00
11
11
11
11
00
00
00
10
10
11
10
10
10
11
00
01
01
00
00
01
11
10
00
00
10
10
10
00
10
10
00
00
10
00
00
10
10
01
00
10
00
01
10
00
00
00
01
01
11
11
00
00
10
00
10
11
00
01
00
11
11
10
00
10
01
01
11
11
00
00
01
01
00
10
11
00
10
01
10
11
11
00
10
01
01
10
10
01
00
11
00
10
11
10
10
00
10
11
00
10
10
00
10
10
01
11
01
00
10
00
00
10
01
10
11
00
01
10
01
10
10
00
00
10
11
00
01
10
00
11
00
00
10
01
10
01
10
10
00
00
10
00
01
10
01
01
10
01
01
00
10
10
00
00
00
10
01
00
11
00
10
10
00
00
00
10
11
01
11
11
00
01
00
10
01
01
00
11
10
00
01
01
11
11
11
10
11
00
10
10
00
01
11
00
00
00
00
00
10
00
10
01
00
00
10
01
01
01
00
10
10
01
00
00
10
00
10
10
00
11
00
01
10
00
10
10
00
01
10
10
10
00
01
10
11
00
11
01
00
10
10
11
01
01
01
10
10
11
00
10
00
01
10
01
00
11
00
00
10
10
11
01
00
11
11
10
11
11
00
01
01
10
00
00
10
10
10
00
00
10
00
10
00
01
00
00
01
10
10
01
10
11
00
00
01
01
00
11
10
10
10
11
11
11
00
00
10
01
00
10
10
00
00
00
10
10
10
01
00
10
00
10
10
10
10
00
01
10
00
11
10
11
00
01
10
10
00
00
10
10
10
00
00
00
00
10
10
10
11
10
01
10
11
00
00
00
01
01
01
01
10
00
10
10
00
10
00
11
00
00
10
01
10
01
01
11
10
01
00
01
10
01
00
10
10
01
01
10
00
00
10
01
10
01
00
11
10
00
11
01
00
11
00
00
10
11
10
01
10
00
11
00
00
11
10
10
00
00
10
10
01
00
00
11
00
10
10
01
11
11
11
00
00
10
10
00
11
01
01
10
10
10
10
00
01
10
10
10
00
00
00
10
10
10
10
00
00
00
10
11
10
10
01
10
11
10
01
00
00
10
00
00
00
00
10
10
10
10
10
01
00
11
10
10
01
10
00
10
01
01
11
00
10
01
00
11
10
00
00
00
10
10
10
01
10
10
01
11
10
10
01
10
00
10
01
01
00
11
10
00
00
01
10
11
00
00
00
10
10
01
01
00
10
10
10
10
00
00
00
11
10
01
00
11
10
00
10
10
01
00
11
01
00
00
00
10
01
11
11
00
00
10
10
10
00
10
10
10
00
00
11
10
00
00
00
00
00
11
11
11
00
10
11
00
00
00
10
10
11
00
01
01
11
10
10
10
00
01
01
11
10
01
11
10
01
01
00
11
11
00
00
00
11
00
01
10
10
00
11
00
00
00
10
01
10
00
01
10
00
11
10
01
01
11
10
11
00
11
00
01
11
01
11
00
10
01
11
10
10
01
01
00
10
11
10
11
11
00
01
10
00
00
10
00
00
10
10
10
01
10
01
10
00
01
00
10
10
11
10
00
00
00
00
10
10
01
10
10
10
11
10
01
10
10
11
10
00
00
00
00
01
10
11
00
10
10
00
01
11
10
00
00
00
00
11
10
00
01
10
01
00
10
00
10
10
10
00
01
11
00
00
10
00
00
10
11
11
01
11
10
10
10
01
10
01
01
10
00
10
10
00
01
10
00
00
11
10
10
11
10
10
00
00
10
00
10
10
01
10
10
11
00
00
10
00
10
00
00
10
00
11
10
01
11
01
00
10
10
00
01
10
10
00
10
00
00
11
10
10
11
00
01
01
10
00
01
10
01
01
11
01
00
10
10
10
11
00
01
10
11
11
10
10
00
00
10
10
00
10
00
00
10
10
01
01
11
11
00
10
10
00
10
00
00
11
11
10
10
00
10
10
00
00
00
01
11
00
10
01
01
00
10
10
10
00
11
11
01
11
00
11
00
10
00
00
10
11
10
01
00
10
10
00
11
11
11
01
10
11
00
10
00
01
10
11
00
00
00
00
00
10
00
01
01
11
00
11
11
00
10
10
00
00
10
10
00
01
10
01
10
11
10
10
10
01
10
00
01
10
00
10
01
10
00
10
00
10
11
00
00
10
11
10
10
00
11
11
00
01
00
10
10
10
11
00
01
11
01
01
00
11
10
00
01
11
11
00
01
10
11
00
00
00
11
00
00
11
10
00
01
00
10
01
00
11
01
10
10
00
01
00
10
00
10
10
00
00
11
11
00
11
01
00
11
00
10
10
10
00
01
10
00
00
01
10
10
01
10
01
01
01
00
10
11
11
01
00
10
10
01
00
10
00
00
10
01
00
00
00
10
00
11
00
01
10
00
11
00
10
10
00
10
01
00
11
00
00
01
11
10
01
01
10
00
00
11
11
10
00
11
10
11
10
00
10
10
00
00
00
10
10
11
10
10
01
01
10
00
01
00
00
00
10
11
11
01
00
00
00
01
00
11
00
10
00
10
10
11
00
00
10
10
00
00
11
00
11
11
10
11
10
10
00
01
10
10
01
00
00
00
10
10
01
00
11
10
00
00
10
11
00
01
00
11
00
10
11
00
00
10
10
00
10
11
01
11
10
11
00
10
11
00
00
10
01
00
00
00
10
00
11
01
00
00
10
10
00
11
10
00
00
10
00
10
10
10
00
01
10
10
00
00
01
00
10
11
10
10
10
01
11
00
01
11
11
00
10
01
01
10
10
00
00
10
00
00
10
11
00
10
01
00
00
10
00
01
00
10
00
10
01
01
11
01
00
00
00
11
00
00
10
10
11
10
11
00
00
10
01
10
00
10
00
00
10
10
10
00
01
10
10
11
00
01
11
00
10
10
10
11
11
01
00
10
10
10
00
00
10
11
00
00
00
10
01
10
10
10
10
01
10
00
00
01
10
10
11
00
00
00
00
10
00
11
10
01
10
11
10
00
11
00
10
10
11
01
00
00
01
10
10
11
01
00
10
10
10
11
00
10
11
00
00
00
00
11
10
00
01
01
11
11
00
10
11
00
00
10
10
00
01
00
10
00
10
10
00
01
10
10
11
10
00
10
01
00
00
10
10
01
01
01
11
11
00
10
10
11
00
00
11
11
01
11
10
01
10
11
00
00
10
11
00
01
01
11
00
00
00
01
00
10
00
00
11
10
11
10
10
00
11
00
10
10
00
01
01
10
11
00
00
10
11
01
11
11
10
01
00
10
11
01
00
10
10
00
10
00
11
01
00
00
01
10
10
11
10
01
01
11
10
00
00
01
00
10
10
00
10
10
01
10
00
01
10
10
00
00
00
10
00
01
10
11
01
00
00
00
00
10
11
00
11
00
01
01
01
00
11
10
00
11
10
00
01
11
11
00
10
00
10
10
11
10
00
00
00
00
00
00
10
10
00
00
00
00
10
00
00
00
11
00
10
01
00
11
00
00
00
01
10
00
11
01
01
11
00
11
00
00
01
10
11
01
00
10
10
00
00
10
10
11
00
00
10
01
00
00
10
10
01
11
11
11
01
00
10
11
00
01
00
10
11
00
10
00
00
10
01
00
10
00
00
00
00
10
00
11
11
10
11
00
01
11
10
01
01
10
01
01
11
01
11
10
00
11
01
00
11
10
00
10
11
01
10
11
00
00
01
00
00
01
01
10
00
11
11
01
10
10
10
00
00
10
00
00
10
00
10
00
10
01
00
10
00
10
11
01
10
00
10
11
10
10
10
11
11
11
01
00
00
01
10
10
10
00
00
10
00
01
00
11
10
10
00
00
00
10
00
10
10
00
00
11
00
01
00
11
10
11
01
10
01
00
11
01
01
10
10
11
00
10
11
11
00
10
10
10
00
10
10
00
10
10
00
10
10
10
00
00
01
00
10
01
00
11
11
11
11
00
01
00
10
10
01
00
10
01
00
11
10
10
10
10
11
00
01
11
10
01
00
10
10
01
11
10
10
00
10
10
01
00
00
10
10
00
11
10
00
01
11
00
11
10
10
10
10
01
00
10
10
10
01
00
11
00
00
10
10
00
01
11
00
00
10
11
00
11
10
10
00
00
10
11
10
00
00
01
00
11
10
11
10
00
10
10
11
00
01
11
11
00
00
10
00
10
00
00
11
11
00
01
10
01
10
10
10
10
01
01
00
10
01
11
00
11
10
00
11
11
11
00
10
01
10
00
00
11
00
11
01
11
10
10
00
00
01
10
00
01
10
10
11
11
11
00
00
00
10
00
00
10
10
10
00
01
00
00
10
00
01
01
10
11
11
00
11
00
10
10
10
01
10
10
00
01
00
00
00
10
10
01
00
10
11
00
00
11
11
01
10
01
10
00
10
10
01
00
00
10
10
01
01
11
00
11
11
00
00
10
11
01
00
00
10
01
00
01
10
10
00
01
10
10
10
00
00
00
01
10
01
00
11
00
10
10
00
01
10
01
01
00
00
10
10
11
00
00
10
11
01
10
00
01
00
11
10
10
01
10
10
01
10
10
10
10
10
10
01
00
00
10
10
00
10
10
11
10
11
01
11
11
00
10
10
00
00
10
10
10
00
11
10
11
00
10
00
10
10
00
10
10
11
00
10
10
00
00
11
10
00
00
11
00
00
00
10
11
11
01
11
01
00
11
01
11
00
00
10
10
01
01
01
11
01
00
10
11
10
00
10
10
00
01
10
10
10
11
00
10
11
00
00
11
00
00
10
00
10
00
00
10
01
01
01
00
01
10
10
01
00
11
11
01
10
10
10
01
11
00
01
10
01
10
00
00
00
10
01
10
11
01
00
10
00
10
10
10
01
01
01
11
11
01
00
00
10
00
00
11
10
00
10
10
00
00
01
00
01
00
10
10
10
10
00
00
11
10
10
00
00
11
00
11
10
01
00
11
00
10
10
00
10
10
00
00
11
10
10
00
00
10
00
11
10
11
00
11
10
10
00
10
10
11
00
01
01
10
11
00
01
10
11
00
11
10
00
01
01
00
10
00
00
10
10
00
11
10
10
10
10
01
10
01
00
00
10
00
11
11
10
01
00
00
10
01
00
01
01
11
10
10
00
11
11
00
00
10
00
11
00
01
11
10
01
00
10
10
10
00
00
00
10
10
10
01
11
10
00
00
01
10
00
11
11
00
01
00
10
10
00
00
10
01
01
00
10
11
10
10
10
00
01
01
11
10
10
00
10
10
00
11
10
01
10
01
10
00
10
10
10
00
00
10
00
00
10
10
10
10
00
00
11
00
00
11
10
01
10
10
10
00
11
01
10
01
01
01
10
10
00
00
10
01
10
11
00
00
10
10
00
00
10
10
00
01
10
01
10
10
10
10
01
01
00
10
11
10
10
11
11
00
11
00
01
10
00
11
10
10
00
00
11
01
10
00
10
00
00
01
00
00
10
10
10
01
10
10
00
00
10
10
00
10
11
10
11
11
01
00
00
11
11
11
11
00
01
10
10
00
00
10
01
10
10
10
00
00
10
00
00
10
00
00
00
01
11
00
00
00
01
11
01
00
10
00
00
10
10
00
01
00
10
10
00
11
00
00
10
00
11
10
11
10
00
01
00
00
00
10
10
00
10
00
01
10
00
00
10
01
10
10
11
11
01
10
10
00
10
01
00
00
10
10
00
00
10
11
10
11
11
00
10
10
00
10
00
00
10
11
10
10
00
11
00
00
01
00
10
10
00
10
11
11
10
10
10
10
01
01
00
11
11
00
10
01
00
10
11
10
00
10
11
00
00
11
10
10
01
00
01
11
10
00
11
10
00
11
11
10
10
00
01
01
00
00
01
00
10
10
01
00
00
00
10
00
00
00
00
10
11
10
00
10
10
00
10
11
00
00
11
10
10
11
10
10
11
00
01
10
11
11
00
10
11
01
00
01
10
11
01
00
10
00
00
11
01
10
00
00
10
00
10
11
00
00
10
01
10
10
11
00
00
00
01
11
00
10
10
00
00
00
11
10
01
01
10
11
10
01
01
10
10
00
00
10
01
00
10
11
00
00
11
00
00
00
10
00
01
10
10
10
00
11
00
01
11
00
01
01
00
00
00
10
10
01
01
10
00
11
00
10
10
10
10
10
00
01
01
10
00
00
01
10
10
11
01
10
10
10
00
00
11
11
01
01
11
00
11
00
01
10
10
10
10
10
00
00
01
10
10
00
10
10
10
00
11
00
00
00
11
10
00
10
10
00
10
10
00
00
11
10
11
01
11
11
11
11
00
10
00
11
00
00
10
10
10
10
01
01
00
00
10
01
00
00
10
10
10
00
11
10
10
10
00
01
00
00
00
00
10
11
00
01
10
10
11
01
00
11
00
00
00
00
11
00
00
11
10
11
01
00
10
00
01
00
00
00
10
00
11
10
11
10
01
00
10
10
01
11
10
00
00
10
00
10
10
00
10
00
10
00
00
00
00
01
10
00
11
01
00
10
00
11
00
10
00
00
10
00
00
00
00
11
11
01
00
10
10
00
00
10
11
00
01
10
01
01
11
01
00
00
11
00
11
00
00
11
00
00
01
00
10
10
10
11
00
10
00
01
01
10
00
10
11
01
10
01
11
11
00
00
10
10
00
00
11
01
10
10
10
11
00
01
00
01
10
01
10
10
10
00
00
11
10
01
11
10
11
00
00
10
10
00
01
00
10
00
01
00
10
00
10
00
11
11
00
01
10
00
10
00
00
10
10
00
00
10
01
10
11
01
00
00
01
00
10
10
01
01
10
11
01
10
10
00
00
00
11
10
10
11
01
01
00
01
01
01
11
00
11
10
11
10
01
01
01
10
10
01
01
10
10
00
01
00
11
11
11
00
11
10
00
10
10
01
10
10
00
01
11
11
00
11
10
11
10
01
10
01
00
10
10
10
10
00
01
10
10
01
10
10
00
11
00
10
00
00
11
00
10
11
10
10
00
00
00
10
11
01
01
00
10
11
10
10
10
10
01
10
10
01
10
00
10
10
01
10
00
00
00
00
01
10
00
10
10
11
00
00
11
10
10
00
01
00
10
11
01
01
01
11
11
10
00
00
10
11
01
01
00
10
00
00
01
01
10
10
10
00
00
01
11
10
10
01
10
10
10
00
00
10
00
11
10
11
00
10
10
11
01
00
00
10
10
10
00
00
00
00
01
11
11
00
00
00
10
10
00
11
10
10
11
10
00
00
00
00
11
00
00
00
00
00
00
10
11
10
10
10
01
00
01
00
10
11
01
10
11
11
01
01
00
10
11
10
00
10
00
01
00
10
10
10
10
00
10
11
00
01
01
11
10
10
01
00
11
01
01
10
01
00
11
11
00
01
10
11
10
00
01
00
00
11
01
11
00
10
00
00
00
00
11
11
01
11
01
01
10
01
10
11
00
00
10
00
01
00
10
11
10
00
01
10
10
00
11
10
01
00
10
00
00
10
00
01
11
10
01
10
00
00
10
01
11
10
01
10
11
00
01
10
11
10
00
00
10
10
00
01
10
00
00
10
10
00
11
11
00
00
00
10
10
00
01
10
10
11
10
01
10
01
10
10
00
10
10
10
00
01
10
01
11
00
10
10
00
10
10
00
01
00
10
11
11
10
00
00
01
00
11
10
00
00
11
10
00
00
11
00
11
10
01
11
00
00
10
11
11
11
00
00
10
01
10
00
01
01
00
11
10
11
00
10
10
01
00
11
01
01
00
00
10
10
00
10
11
00
10
11
11
11
11
01
00
10
10
00
10
11
01
01
10
10
10
11
10
00
10
10
10
00
00
11
00
11
00
00
10
10
10
00
11
10
00
00
00
11
00
01
00
11
10
11
01
10
00
00
11
10
01
00
11
10
00
10
10
10
00
01
01
01
01
00
00
10
10
10
10
11
00
10
10
01
00
00
10
00
11
01
10
10
01
10
00
10
11
00
01
11
10
01
10
00
00
00
01
10
01
10
11
10
11
01
00
00
00
10
00
01
11
11
10
11
00
00
11
00
00
11
11
00
10
00
10
10
01
00
00
11
11
10
01
01
10
11
10
01
10
11
00
10
11
01
01
11
11
00
00
00
10
10
10
00
00
10
11
11
00
10
10
10
01
01
00
10
01
01
01
11
11
00
00
11
00
10
11
11
00
11
00
00
10
10
10
10
01
00
00
01
00
10
10
10
01
11
00
10
00
00
00
10
00
00
11
10
11
11
00
10
10
01
10
10
01
01
11
01
10
00
10
00
11
10
00
01
11
10
10
10
11
00
00
01
00
11
00
00
10
10
00
10
10
01
10
11
00
00
00
00
00
11
00
00
11
00
10
01
01
10
00
11
11
10
00
01
01
10
00
00
10
10
10
00
00
10
00
10
11
10
11
10
01
10
00
00
01
11
10
01
01
10
11
11
10
00
10
00
00
10
11
01
00
10
10
00
00
10
11
00
01
00
10
10
00
11
10
00
00
10
10
10
00
00
11
11
10
10
10
00
00
00
10
10
01
00
11
00
10
11
10
11
00
10
11
00
11
11
11
00
00
10
10
10
00
01
11
10
00
10
01
10
00
00
00
11
10
00
10
00
01
01
00
11
00
00
00
00
00
10
10
01
00
10
10
00
00
01
00
10
01
00
00
01
01
10
11
00
00
10
11
01
10
00
11
10
00
00
00
10
11
00
10
00
10
00
10
10
01
11
10
00
11
01
01
10
00
00
11
10
11
11
01
01
10
10
11
10
00
01
10
00
00
00
01
01
01
10
10
00
10
10
11
00
10
10
00
00
11
00
10
00
10
00
10
10
00
10
10
01
11
01
10
10
10
10
00
01
10
10
01
00
00
10
00
00
00
10
10
10
00
10
01
00
10
10
10
01
10
10
11
10
11
00
00
10
10
01
01
00
10
10
00
00
01
10
10
00
00
10
11
10
01
00
10
10
00
11
10
11
00
01
01
10
10
01
10
10
10
00
00
10
10
00
00
10
11
11
11
00
11
11
11
01
00
00
10
10
00
10
11
00
11
00
10
01
00
10
00
00
10
10
00
10
00
11
00
10
10
11
01
10
11
01
10
10
11
00
00
10
00
10
10
10
10
00
00
10
01
01
11
11
10
10
00
00
10
00
00
10
00
10
10
01
11
00
10
00
11
01
10
00
00
00
11
01
00
10
00
00
00
10
01
00
10
00
00
00
00
00
10
10
01
10
10
10
10
10
11
11
00
10
01
10
01
11
10
00
00
00
10
01
00
00
11
00
10
00
00
10
10
00
00
01
10
10
10
01
10
00
10
10
00
10
01
10
00
00
00
11
00
10
10
00
10
00
11
11
10
00
11
11
11
01
01
01
11
00
00
10
10
01
00
10
10
01
00
11
00
10
10
01
01
00
00
11
00
10
10
11
00
01
01
00
11
01
00
10
00
11
10
00
00
00
10
11
10
01
01
10
11
00
10
00
00
10
10
01
00
10
10
01
11
11
00
11
10
11
10
01
01
10
11
00
00
11
10
00
11
01
01
10
00
00
10
01
01
00
11
10
00
11
10
11
00
00
10
10
10
11
01
00
10
00
00
10
10
10
00
01
00
00
11
10
00
10
11
01
11
11
10
00
00
10
00
10
11
01
00
00
10
01
11
00
00
00
10
01
01
11
10
01
00
00
01
00
11
11
10
01
10
00
00
01
10
11
01
10
11
10
10
11
10
11
00
01
00
10
10
00
01
01
01
10
00
10
10
10
01
00
11
01
11
10
11
00
00
10
11
01
11
00
01
10
11
00
10
10
00
10
10
10
00
01
10
10
10
00
11
00
10
01
11
00
10
00
01
10
10
00
11
10
00
10
00
01
00
10
10
10
10
11
00
11
00
10
00
00
00
10
10
01
00
01
11
00
10
01
00
00
01
10
10
10
11
00
00
10
11
00
00
00
10
11
00
01
01
10
10
11
00
11
10
10
00
11
00
01
10
01
11
00
11
00
00
00
00
10
00
00
10
10
01
10
00
11
00
10
10
10
10
00
10
11
00
00
01
10
00
00
11
01
10
10
00
11
10
01
10
00
10
11
10
11
10
10
10
11
10
00
10
10
10
01
00
01
00
11
10
01
01
11
10
01
11
10
11
00
00
10
00
00
00
00
10
10
01
10
10
11
01
00
10
00
10
01
01
11
10
10
00
01
01
01
11
11
00
11
10
00
10
10
00
01
10
11
10
00
11
00
10
10
01
00
01
01
10
11
01
10
00
10
01
00
11
10
10
11
01
01
10
00
01
00
00
11
00
00
00
10
11
00
01
00
10
11
00
10
10
10
00
00
11
01
11
11
00
01
00
11
00
11
10
01
00
10
01
00
00
10
11
01
01
00
11
01
01
10
10
00
00
00
00
01
00
10
00
11
00
10
01
00
10
10
01
10
00
00
00
10
10
01
00
00
11
11
00
00
00
10
00
00
10
00
10
11
00
00
01
10
11
00
00
10
11
00
00
10
00
01
10
10
11
00
10
00
11
01
11
10
00
01
11
10
00
10
10
10
01
00
11
10
10
00
10
01
01
11
10
00
00
10
00
00
10
00
10
01
10
00
10
01
10
10
10
01
11
01
01
10
00
11
11
10
00
01
00
10
10
10
00
10
00
01
00
00
01
10
10
11
10
00
10
01
10
00
00
10
00
00
11
01
00
11
00
00
01
10
10
00
11
10
01
10
11
10
00
11
10
10
00
01
00
11
01
10
00
01
01
10
00
00
10
10
00
10
10
00
01
10
00
10
10
11
00
10
11
00
01
00
10
10
01
00
10
11
01
11
00
01
10
01
01
10
10
00
10
11
00
01
00
10
10
01
10
10
01
01
00
00
00
00
11
10
10
11
10
00
00
11
11
00
01
00
00
10
11
10
00
00
10
10
01
00
10
10
00
10
10
10
11
01
00
01
01
11
01
00
01
10
11
00
10
10
10
00
00
00
10
10
01
00
11
00
10
00
01
10
10
11
01
10
10
01
00
00
00
10
10
01
11
10
01
10
00
10
00
00
10
00
00
00
01
10
11
00
00
10
00
10
11
11
01
10
10
01
10
10
10
00
01
00
10
10
10
10
11
00
01
01
10
01
10
01
10
01
00
01
10
10
01
00
00
10
11
01
01
01
11
11
10
01
10
10
00
00
11
11
01
10
00
01
00
11
00
00
11
00
00
10
10
10
10
01
00
00
00
00
00
10
00
00
11
11
11
11
10
11
01
01
10
11
00
01
00
10
10
10
00
01
10
10
00
00
01
01
10
00
00
11
10
10
01
00
00
11
10
10
10
10
00
10
11
10
00
01
00
01
11
00
00
11
00
01
00
10
10
01
10
00
00
00
10
00
00
10
00
00
00
00
10
00
00
01
10
10
00
10
00
00
10
10
00
00
00
10
10
10
01
00
10
00
00
10
00
00
11
10
00
00
10
10
10
00
10
00
11
10
10
10
10
00
10
00
00
10
10
11
00
01
10
01
00
01
00
10
11
00
11
10
01
10
10
10
00
00
11
00
01
10
11
00
11
10
00
00
10
00
00
00
10
11
00
00
10
00
10
00
00
10
00
01
01
00
01
10
00
01
00
00
00
01
10
01
01
10
10
10
01
00
01
10
11
00
00
00
10
10
01
01
10
00
00
00
00
10
10
01
00
00
00
10
00
10
10
01
10
01
10
00
00
10
10
10
01
00
00
10
00
10
10
10
01
00
10
11
11
10
10
01
01
11
10
10
10
01
00
11
00
10
00
01
00
10
11
01
01
01
01
10
11
10
01
00
00
11
11
00
00
00
11
00
00
10
11
00
00
10
10
11
10
10
00
10
00
11
00
00
11
01
10
01
10
11
00
10
01
00
00
10
00
01
01
11
10
10
10
10
10
00
00
11
00
00
00
00
11
10
10
00
00
10
00
00
10
00
10
00
01
10
00
11
00
01
00
00
00
10
00
01
00
11
10
11
00
00
10
10
10
01
10
10
00
11
00
11
01
11
11
00
10
00
01
10
11
00
00
10
11
10
01
00
10
10
00
01
10
10
00
00
01
01
10
00
00
10
01
11
10
11
10
10
10
00
10
10
10
00
00
01
11
00
11
00
00
11
00
01
00
10
11
00
11
01
10
10
10
10
00
11
11
00
10
10
10
11
01
01
10
10
01
00
11
00
01
10
10
10
10
10
00
10
00
00
10
00
01
00
00
00
10
10
00
00
01
00
10
00
10
01
01
10
10
11
00
01
10
01
01
10
11
01
00
11
00
00
11
11
10
10
00
00
00
10
10
00
00
11
00
00
10
00
10
10
11
10
00
00
10
00
00
10
01
10
11
00
01
11
10
00
01
11
10
01
11
10
00
00
10
01
10
10
00
11
10
00
10
01
00
01
10
10
00
00
01
10
10
00
01
01
01
00
11
01
01
00
11
10
10
10
00
00
01
10
11
00
01
01
00
00
01
10
10
00
10
00
00
10
10
00
00
10
01
00
01
11
11
10
11
01
10
10
10
01
01
11
11
10
00
10
00
01
10
11
01
00
01
11
11
01
10
11
11
10
01
10
00
00
10
01
10
11
01
11
11
00
11
00
00
10
00
00
10
11
00
00
10
11
10
10
10
00
10
00
00
10
00
10
01
10
11
00
01
01
01
10
01
00
00
10
10
10
01
10
01
10
10
11
10
10
00
10
10
10
10
00
01
10
11
10
01
11
01
10
10
00
00
10
10
10
00
10
01
00
11
10
10
10
01
00
00
00
11
00
00
10
00
10
10
00
10
00
01
00
11
00
00
10
10
01
01
10
11
10
00
10
11
01
00
00
11
00
11
00
00
10
10
10
10
11
00
01
10
11
00
10
00
00
00
10
11
00
10
00
00
11
00
01
10
11
00
10
11
10
00
00
11
10
01
10
00
10
10
11
00
01
10
10
01
10
01
00
10
10
00
10
01
00
00
00
10
10
01
11
00
01
01
11
10
00
00
11
11
11
00
01
01
01
00
10
10
00
11
10
10
00
00
01
10
00
01
10
00
00
11
11
10
10
00
00
11
10
00
10
00
10
00
00
10
00
10
11
01
11
10
01
11
00
10
00
00
10
00
00
01
10
10
11
00
10
01
10
01
00
10
10
10
00
10
00
00
11
00
10
10
10
11
00
00
10
10
00
01
10
00
00
11
11
00
01
11
10
00
00
11
10
11
01
00
00
10
11
00
00
11
01
11
00
11
10
00
11
10
00
01
10
11
10
00
10
00
00
00
10
00
01
11
00
00
10
01
00
00
11
10
10
00
10
10
00
11
10
00
00
11
10
01
01
11
11
11
00
00
10
10
00
10
11
00
00
00
10
00
01
11
11
10
00
00
10
10
01
01
10
11
10
00
11
00
00
11
10
10
11
10
00
00
11
01
11
11
10
00
11
11
00
00
00
10
10
00
00
11
00
01
10
00
10
11
10
01
11
10
00
00
00
10
10
00
00
11
01
11
10
00
10
10
00
00
00
10
10
00
01
10
10
00
01
00
11
11
01
00
11
01
11
10
00
10
01
00
10
10
00
00
00
11
10
00
00
00
00
01
10
10
01
00
10
11
10
01
11
10
10
11
00
11
00
01
01
10
10
00
10
11
10
00
00
01
10
11
10
10
10
00
00
10
01
01
10
00
01
11
10
00
11
00
10
10
00
00
00
10
11
10
11
00
01
10
10
00
00
01
10
00
00
10
10
11
01
00
00
10
00
10
00
11
11
00
10
01
11
00
10
11
11
10
01
00
01
00
00
10
10
10
00
00
11
00
00
10
00
10
11
10
10
10
00
10
10
01
00
01
00
01
01
10
10
11
00
01
10
01
11
00
10
10
00
00
01
11
11
00
00
00
00
10
10
00
10
00
01
01
00
00
00
00
11
10
00
11
00
00
00
01
10
00
10
11
10
10
11
00
01
01
01
00
10
00
10
10
00
01
10
10
10
01
01
10
11
10
11
10
11
01
00
00
00
00
10
10
10
01
11
11
01
01
01
00
00
00
00
11
10
00
00
01
10
11
01
00
00
01
10
11
10
00
10
00
00
10
00
01
10
10
10
00
00
00
00
10
00
01
11
10
10
10
00
01
01
01
10
10
10
00
10
00
10
10
00
01
10
10
00
00
11
11
10
01
00
11
10
00
00
11
10
00
01
11
10
00
00
10
11
00
01
10
10
10
01
11
10
00
00
10
00
10
10
00
10
11
10
11
00
00
10
11
11
00
00
00
10
01
01
11
01
11
10
10
11
00
10
10
00
00
00
11
10
00
10
11
00
00
11
00
01
10
00
00
10
10
01
00
10
01
00
01
10
10
00
01
10
11
01
00
10
00
00
00
00
10
10
00
00
10
01
10
00
00
10
10
11
00
11
00
10
11
01
01
00
00
10
00
10
10
10
00
00
10
00
00
00
10
10
01
11
00
01
10
10
10
01
00
10
10
01
00
00
00
10
01
11
01
00
10
10
00
11
00
10
11
01
10
00
01
00
10
00
10
10
00
01
00
11
01
00
10
10
00
00
00
10
11
00
10
01
00
10
00
10
00
10
10
01
10
10
11
10
10
01
10
00
10
10
10
01
00
10
11
10
10
00
00
00
10
11
11
01
00
00
00
00
10
10
01
00
10
00
00
11
00
11
10
00
10
11
10
11
01
10
11
00
11
10
10
00
10
00
10
11
10
00
00
00
00
00
01
10
10
10
10
00
01
11
00
00
01
00
10
01
10
01
00
10
00
10
00
10
10
00
01
00
00
01
01
01
11
10
00
11
00
10
11
01
01
00
00
00
00
00
01
10
10
10
00
11
01
01
11
10
01
10
00
01
11
10
00
01
10
11
11
01
00
00
11
10
11
11
00
01
10
01
10
00
00
00
10
00
10
01
00
10
10
00
10
01
10
11
10
11
11
10
10
00
10
11
00
01
01
10
01
10
00
00
01
10
11
10
00
01
01
01
10
00
10
00
00
10
10
00
01
00
01
00
00
10
10
01
00
00
10
11
00
00
01
11
01
11
10
00
00
10
11
01
00
10
11
10
10
11
10
01
10
00
00
10
10
01
00
10
11
01
10
10
10
10
10
00
01
10
11
00
10
10
00
11
11
01
00
00
00
10
00
00
10
11
01
00
11
00
00
11
10
10
00
00
00
00
00
11
11
00
00
11
00
00
11
01
00
11
00
10
00
01
11
10
10
11
10
00
10
00
00
11
10
01
00
00
10
10
00
01
00
10
10
00
11
01
11
00
01
00
10
10
00
11
11
11
00
01
11
00
10
01
00
10
11
01
00
00
01
11
11
01
00
00
11
11
00
00
11
11
10
10
11
00
10
10
00
10
10
10
11
01
01
10
10
00
10
01
00
00
10
00
11
10
01
00
10
00
10
11
10
11
00
10
10
00
00
01
00
10
10
10
00
10
00
01
01
00
01
10
00
10
11
01
11
10
00
00
10
01
01
01
11
10
00
11
00
11
11
00
10
11
01
00
01
10
10
00
00
10
00
10
11
00
10
00
00
00
00
11
10
10
10
11
11
10
00
00
00
00
10
00
01
10
00
10
01
11
11
00
00
10
11
01
00
11
01
01
01
00
11
10
00
10
00
01
00
10
10
01
00
10
10
01
00
10
00
00
11
11
10
11
00
01
01
10
01
10
00
01
11
00
10
00
00
00
11
10
11
10
10
10
10
00
01
10
10
01
10
11
10
11
00
00
00
10
00
11
10
00
00
00
10
10
01
00
00
10
00
10
10
10
10
10
00
01
11
10
10
10
10
00
01
10
11
10
11
10
10
00
11
10
11
10
00
00
11
11
00
00
10
01
10
00
00
10
00
00
00
10
10
01
10
00
11
10
00
00
00
01
10
11
11
01
00
11
00
10
00
00
01
11
10
01
01
01
10
11
00
00
00
11
10
10
11
11
01
10
00
01
01
11
10
10
01
01
11
01
01
00
00
10
01
10
00
00
10
11
00
01
00
10
10
10
10
01
00
10
01
00
10
01
10
10
10
10
01
11
11
01
10
10
11
00
00
10
10
00
00
11
11
10
10
10
11
00
10
01
01
00
00
10
10
11
10
00
11
10
01
00
01
00
11
10
00
11
11
01
10
11
00
00
00
10
11
00
00
10
00
11
10
11
10
10
00
11
00
01
10
11
10
11
00
00
00
10
10
00
01
00
00
00
01
01
10
01
11
10
00
00
10
11
10
00
11
10
00
00
10
00
10
11
01
11
01
00
01
00
00
10
10
10
11
01
01
10
01
01
01
01
10
00
00
11
00
01
11
10
11
11
01
11
10
00
01
11
10
00
00
10
11
00
10
10
11
01
11
00
01
11
00
11
10
10
10
01
00
10
10
01
01
11
10
11
10
11
11
01
11
11
10
00
00
11
11
00
00
10
10
10
10
00
00
10
00
10
10
11
01
01
10
00
11
10
11
10
00
00
01
00
10
00
00
01
01
00
11
01
10
10
10
11
11
10
00
10
00
00
00
11
10
10
00
00
01
00
01
00
00
01
11
10
01
00
11
10
00
00
10
10
00
01
10
10
11
10
00
00
00
11
00
10
10
00
00
00
00
10
10
00
10
00
01
11
01
00
10
00
10
11
11
00
00
00
10
10
00
11
00
01
10
00
11
00
01
00
11
10
11
00
10
01
00
01
11
10
01
11
11
00
10
01
10
10
00
11
10
00
11
00
10
11
00
01
00
01
10
10
01
10
00
01
00
11
01
00
11
00
01
01
00
10
10
00
00
01
01
00
10
10
10
11
00
00
01
11
10
10
10
01
00
01
00
10
10
00
00
11
10
10
10
00
00
00
10
00
01
10
10
10
10
10
00
00
10
10
01
11
01
00
01
10
01
00
10
11
01
00
01
00
00
10
10
00
10
10
00
11
10
00
10
00
00
10
10
01
00
00
10
00
00
10
10
10
00
00
11
00
10
00
10
01
00
10
10
11
00
11
00
00
01
10
10
00
10
00
00
11
10
10
00
10
10
10
10
11
01
01
11
00
01
01
01
00
00
11
11
01
10
00
00
00
00
11
01
01
01
01
11
10
10
10
10
00
00
00
10
10
01
00
11
00
01
00
11
00
11
01
00
10
00
00
11
10
00
00
10
11
01
01
11
10
00
11
00
11
10
00
01
11
11
00
10
10
10
00
10
00
01
10
01
10
00
10
11
01
10
10
00
10
00
10
10
01
11
11
00
01
10
11
01
10
10
00
00
10
11
00
01
00
00
10
10
00
01
11
11
00
01
00
10
00
00
01
10
10
01
11
11
01
10
11
00
10
11
00
00
10
01
10
00
00
10
00
00
10
10
01
01
11
01
01
00
00
10
10
10
11
00
00
10
10
00
01
10
10
00
01
10
00
10
00
00
00
10
10
10
00
00
00
01
10
10
00
11
00
10
01
01
00
10
10
00
00
00
00
10
10
11
10
11
11
11
01
00
01
11
10
00
10
10
10
11
00
11
01
00
00
10
11
00
10
10
10
11
11
00
00
11
10
10
10
01
00
01
00
10
00
00
10
00
11
10
10
00
01
10
11
11
00
10
10
01
10
01
00
00
00
10
01
10
10
00
11
00
01
10
01
01
10
00
10
10
10
01
00
00
00
10
10
10
11
11
00
10
10
00
00
10
10
01
00
10
10
10
10
10
00
00
10
10
01
10
10
10
01
10
01
00
11
00
00
00
10
10
10
10
00
00
00
00
00
01
01
11
10
10
10
01
01
00
10
10
00
10
11
10
00
00
00
01
00
00
10
10
11
10
00
10
10
10
10
00
00
01
10
11
00
01
10
01
00
10
10
11
00
00
00
00
10
11
00
11
10
01
10
01
00
10
00
00
01
10
11
00
00
00
10
10
10
00
01
11
10
01
10
10
11
00
10
10
00
00
10
11
01
01
10
11
10
11
01
10
00
00
00
11
00
01
00
11
10
10
01
00
10
10
10
01
00
01
10
11
01
10
00
10
10
00
01
11
10
01
00
11
10
11
01
00
10
10
00
00
10
00
11
01
00
10
10
00
00
01
00
01
10
01
11
00
00
11
10
00
10
01
11
11
11
01
10
00
00
01
10
11
00
00
11
00
00
00
00
11
00
10
01
00
10
10
00
01
01
10
01
11
00
10
11
00
11
11
00
10
11
00
10
10
00
00
01
10
10
01
10
11
00
11
00
01
10
11
00
00
10
01
10
10
01
00
00
00
10
11
00
01
10
00
10
00
11
10
00
10
00
10
00
10
11
10
00
11
01
10
00
01
10
01
10
00
00
11
11
11
01
00
00
00
10
11
01
10
11
11
01
10
00
00
10
10
00
01
10
10
00
01
00
00
01
11
01
11
10
11
10
01
11
01
11
01
01
00
10
00
01
10
10
00
00
11
01
01
10
10
00
00
10
10
00
00
00
01
01
10
01
01
10
00
00
00
10
00
11
11
01
00
11
00
01
10
10
00
00
10
01
10
10
10
11
11
11
00
10
00
00
00
00
00
01
01
00
01
00
01
10
11
01
00
00
11
11
00
01
10
11
00
10
10
01
11
00
01
01
01
10
10
11
10
01
10
00
10
10
10
10
00
00
01
01
10
11
10
01
01
01
00
00
10
01
01
11
00
01
10
10
01
10
11
00
11
00
11
10
00
10
00
10
11
10
00
10
01
00
10
00
00
00
00
11
10
10
01
00
11
01
00
10
00
00
10
10
10
11
00
10
00
00
00
00
00
10
10
00
10
11
01
10
00
01
01
10
10
00
00
11
01
11
00
11
01
01
10
10
01
00
10
10
10
00
10
11
01
01
01
10
10
10
00
10
10
00
00
00
11
00
10
11
11
10
01
01
11
00
11
10
10
00
01
10
10
10
10
00
00
10
00
00
11
00
01
10
10
10
01
10
10
01
10
01
00
11
10
00
10
11
10
01
10
10
00
11
01
00
01
11
00
10
00
00
00
10
00
10
10
10
00
01
10
00
00
01
10
01
00
00
11
00
00
10
00
11
10
11
00
10
10
10
00
00
11
00
10
10
00
11
00
01
11
01
00
00
10
01
00
11
10
10
00
00
00
10
00
01
00
00
10
11
11
00
00
00
11
01
00
10
11
10
11
00
10
11
01
11
11
00
00
01
11
10
11
01
10
11
10
01
01
00
10
10
00
00
00
01
11
11
11
10
11
01
01
10
10
10
11
00
01
00
11
10
00
10
10
11
00
01
10
11
10
01
01
10
10
00
00
11
00
00
10
00
10
10
00
01
00
11
00
10
00
10
11
00
01
10
10
00
00
11
10
10
00
11
10
01
00
00
10
00
11
00
10
10
00
10
10
01
01
10
00
10
10
11
01
10
11
01
11
00
00
00
10
10
01
01
10
10
11
11
10
10
10
00
01
00
10
00
00
11
01
00
10
11
00
10
01
00
11
01
11
10
11
00
00
00
10
10
00
10
10
00
01
01
01
11
10
10
00
11
01
00
10
01
10
01
10
10
00
01
01
00
00
10
10
01
00
10
10
11
00
00
10
11
01
00
01
11
00
11
01
00
00
11
10
00
01
10
00
00
10
11
10
01
01
01
10
00
01
00
00
10
00
11
10
00
10
00
10
11
10
10
10
00
01
10
01
00
01
00
11
00
00
11
00
10
11
00
00
10
01
10
00
01
10
01
10
10
01
00
11
10
10
01
00
00
00
01
11
00
00
10
11
01
11
00
11
00
11
00
00
01
11
01
00
00
10
11
00
11
00
00
11
11
00
00
10
11
00
10
10
01
10
10
10
00
01
00
01
11
00
11
10
01
00
01
10
00
10
10
00
00
00
10
10
00
00
10
00
11
01
01
00
00
01
10
01
00
10
11
00
00
00
00
10
10
00
10
10
00
00
00
00
00
10
00
10
10
10
10
00
01
10
10
01
10
10
00
11
01
00
01
10
10
10
11
00
10
10
00
10
11
11
10
10
00
00
01
00
00
00
00
01
10
11
01
11
00
00
10
10
01
10
10
01
01
10
11
10
00
10
01
00
11
11
00
10
01
01
11
10
10
00
10
10
01
10
10
01
10
01
10
01
10
10
00
10
00
00
10
00
00
11
00
10
00
00
11
10
01
01
00
10
01
00
11
10
10
01
10
10
00
01
10
11
01
00
10
10
10
01
11
11
00
11
11
11
10
10
00
00
10
11
00
00
10
01
10
11
10
00
00
11
01
10
10
00
00
10
10
10
01
10
10
00
01
10
10
01
00
00
10
00
00
00
10
01
00
10
11
10
00
00
10
01
01
11
00
01
10
10
00
00
10
10
10
00
00
10
10
01
10
10
00
00
10
00
00
10
10
10
00
10
00
10
11
00
11
00
00
00
11
10
01
01
11
10
10
01
00
11
10
10
11
00
11
10
01
00
01
10
00
10
11
10
01
10
10
00
10
00
10
00
00
10
10
01
00
00
00
10
01
01
01
11
10
00
10
00
00
00
10
10
10
11
00
10
11
01
01
01
10
10
01
10
01
00
10
00
00
11
00
10
10
10
00
11
01
10
00
00
10
00
00
10
00
11
11
00
00
10
00
10
11
01
11
00
10
00
01
10
10
00
01
11
10
01
10
10
10
00
00
11
10
10
00
10
10
00
01
10
10
10
01
00
01
10
01
01
11
10
00
00
10
00
00
01
10
10
00
00
00
00
10
11
10
01
01
11
01
10
01
10
00
00
11
10
01
11
00
00
00
10
10
10
10
10
00
01
01
10
00
01
01
00
10
00
10
10
11
00
10
11
00
00
10
01
00
11
11
00
00
00
01
10
11
01
00
00
10
11
11
10
00
11
10
00
00
10
00
00
00
10
00
10
10
00
00
00
01
00
10
10
00
00
11
00
11
00
00
00
00
10
11
10
01
11
11
00
00
11
11
01
01
00
10
01
00
10
00
00
10
00
00
11
00
00
10
01
10
10
01
00
11
00
00
00
00
10
11
01
01
01
10
01
01
10
10
00
01
10
10
01
00
10
10
01
10
00
11
11
00
00
11
00
00
11
10
10
10
10
00
01
00
10
01
11
00
11
01
00
11
00
00
00
00
10
10
10
01
10
10
11
01
00
00
00
10
10
11
00
11
11
10
11
10
00
01
01
10
11
01
10
01
00
00
00
11
10
00
01
00
00
10
10
10
00
01
00
11
00
00
11
00
10
10
11
00
00
10
11
00
01
10
10
00
00
10
00
00
10
10
01
10
01
00
10
00
10
11
00
00
00
10
01
00
01
11
10
00
01
10
11
11
01
01
01
11
00
00
01
10
10
00
10
00
10
10
11
00
00
00
00
10
00
00
10
11
01
11
01
10
10
00
00
10
01
01
10
01
10
10
11
10
00
00
10
10
11
10
00
01
10
10
00
00
10
10
00
11
10
01
01
10
11
10
00
00
10
10
11
01
00
10
00
00
01
10
00
00
11
00
00
01
00
10
10
00
00
00
10
11
01
10
00
10
10
00
10
00
00
11
10
10
00
11
00
10
11
01
00
00
11
11
10
00
00
01
10
11
00
10
10
10
10
10
10
01
00
01
11
00
11
00
01
10
10
00
00
10
10
11
00
10
10
10
11
00
11
00
00
01
01
10
10
11
10
10
10
11
10
00
01
10
00
00
01
11
01
01
10
00
10
10
00
10
00
01
10
10
00
10
10
00
10
10
01
01
01
11
00
10
11
01
10
10
00
00
00
11
10
10
00
01
01
00
01
10
00
00
10
00
01
00
10
10
00
01
01
00
10
10
10
01
10
00
00
00
10
10
00
11
10
00
10
00
00
10
01
00
00
00
11
01
00
00
00
10
10
00
11
01
11
01
10
10
11
00
00
00
10
01
10
10
00
01
10
10
10
10
00
01
00
11
10
00
00
10
01
00
00
10
00
00
11
11
00
01
10
01
10
11
01
00
11
11
10
00
00
10
11
10
00
00
01
11
10
01
10
10
00
00
00
01
00
11
11
00
10
11
10
00
00
10
11
00
00
00
01
10
10
00
10
01
00
00
11
01
10
10
11
00
00
11
00
01
10
00
10
10
11
10
00
00
00
10
11
10
01
01
10
00
10
10
01
00
10
10
10
10
10
11
01
01
00
10
01
10
00
01
11
10
00
11
10
01
10
10
10
00
00
10
10
00
10
10
00
00
10
00
00
10
01
10
10
00
11
00
00
00
10
10
11
00
00
00
10
10
11
11
10
00
01
10
10
00
11
00
00
11
00
00
11
11
00
00
01
00
00
11
11
00
00
11
11
00
11
10
01
00
10
00
10
00
00
01
10
10
00
00
01
10
01
00
10
11
00
10
10
11
00
11
01
01
00
00
11
00
10
01
00
11
10
01
10
11
00
10
10
01
01
11
01
00
00
10
11
00
00
10
11
00
10
10
00
00
11
11
10
00
01
11
10
10
01
10
10
11
00
00
00
00
10
10
00
01
10
10
10
10
00
01
10
10
01
01
01
00
01
11
01
11
11
01
01
10
11
10
00
10
10
00
10
01
00
10
10
00
01
10
11
10
00
11
00
00
10
10
11
10
10
00
00
11
11
01
01
10
10
01
00
00
10
11
00
01
11
00
11
00
00
10
01
00
10
11
00
10
10
00
00
00
10
00
10
00
10
00
10
11
00
10
01
00
00
10
11
10
11
00
00
01
01
00
10
10
10
00
00
10
10
00
01
00
00
11
11
10
00
10
10
00
00
10
00
00
10
10
00
10
10
11
10
11
00
00
11
01
00
11
10
10
01
00
10
10
01
10
01
00
00
01
10
00
00
00
00
00
11
10
00
00
00
01
00
01
01
00
10
10
11
10
11
01
01
00
10
01
11
11
01
00
10
10
11
01
00
10
10
11
10
00
00
00
10
00
11
11
11
00
01
10
11
10
11
00
10
10
00
11
10
11
00
01
11
01
01
00
10
10
10
01
00
00
10
10
10
10
10
01
00
10
10
00
00
10
00
11
10
00
00
11
00
11
00
00
00
10
11
10
10
10
11
00
10
01
11
11
11
00
01
11
10
00
11
01
00
11
01
10
11
11
11
00
00
00
00
10
10
10
01
11
00
00
01
00
10
10
00
00
00
01
10
11
10
00
00
10
11
00
10
00
00
10
00
10
10
00
01
00
00
11
00
00
10
00
01
11
11
01
10
00
00
01
10
01
00
11
10
00
00
10
10
00
00
01
11
01
10
00
00
10
11
00
00
10
00
10
11
11
10
01
11
11
00
11
00
10
10
00
01
10
11
01
01
10
11
00
01
01
11
00
00
10
10
01
01
11
01
11
10
00
01
00
11
00
00
10
10
11
10
00
00
10
10
11
00
10
10
00
10
00
00
01
00
10
01
01
01
11
10
10
00
01
00
10
10
01
00
11
10
00
10
00
01
00
11
00
01
11
10
11
01
00
11
11
01
00
11
10
10
00
10
10
00
10
00
01
01
10
01
10
10
00
01
10
10
10
01
10
10
10
00
10
10
10
11
11
01
00
00
01
00
00
00
10
11
00
01
11
00
11
11
00
00
00
10
01
11
11
01
10
00
10
00
01
01
10
10
10
01
00
00
11
10
00
00
01
00
01
10
01
10
10
11
01
10
10
11
11
00
01
00
10
11
00
01
00
00
10
10
01
00
01
10
00
01
01
01
10
00
11
11
10
01
11
00
10
10
10
00
00
10
10
10
00
11
10
00
00
10
10
10
00
01
11
00
11
00
10
10
10
00
10
11
00
10
10
10
10
00
10
00
00
11
10
10
00
00
11
00
11
10
10
00
00
00
00
00
10
10
10
00
10
10
10
11
00
01
00
00
01
11
10
10
00
10
10
10
00
11
00
01
11
10
01
01
11
01
00
10
00
00
11
11
00
01
10
10
01
10
01
00
00
10
00
01
10
00
00
00
10
01
11
01
00
11
01
11
01
01
11
10
10
10
01
00
00
00
00
00
10
10
11
11
00
00
01
00
11
10
00
11
00
11
10
01
10
11
10
00
11
10
01
00
00
00
00
00
11
00
10
11
10
00
10
00
00
10
10
00
01
11
00
00
10
01
10
00
10
00
10
01
10
01
01
10
00
10
10
11
10
00
10
10
00
10
00
01
10
10
11
01
01
01
00
00
11
10
10
11
00
10
10
11
11
01
01
11
00
00
01
01
11
11
11
11
00
00
10
11
01
00
01
00
10
00
01
10
11
10
00
00
00
10
10
10
01
11
10
10
11
11
00
10
01
00
10
01
11
10
01
00
11
10
00
01
11
11
10
11
00
11
10
11
11
00
01
10
00
01
11
10
01
00
10
10
10
00
00
00
10
11
10
00
01
00
00
10
01
00
01
00
10
00
11
10
11
00
00
10
10
01
10
10
00
00
10
10
00
00
10
00
00
00
11
10
00
10
00
11
10
00
01
00
01
00
11
00
00
10
10
10
00
00
10
11
01
10
10
10
01
10
11
00
10
11
10
10
00
00
10
00
10
01
01
11
10
11
00
11
10
11
00
00
10
00
00
11
10
00
00
11
10
01
00
10
01
00
10
00
10
10
10
00
10
01
10
00
00
00
10
10
00
11
01
10
10
11
00
00
00
00
00
11
10
10
01
10
01
11
00
11
11
01
01
00
10
01
00
00
00
10
10
11
10
00
10
10
00
11
11
00
10
00
10
01
10
10
11
01
01
00
00
10
10
01
01
01
00
01
00
10
11
10
11
10
10
00
01
11
11
10
00
10
11
00
01
11
10
11
00
00
00
11
10
00
11
10
10
01
01
10
01
10
01
10
10
00
11
10
00
11
01
00
10
11
10
11
00
11
01
01
00
00
11
10
01
00
10
10
01
11
01
01
10
10
01
11
10
11
00
10
10
11
11
00
01
11
10
01
00
11
00
10
11
00
10
10
10
00
00
11
10
11
11
00
10
10
10
00
01
10
10
10
00
00
00
00
10
10
00
10
11
11
00
10
00
11
10
00
00
00
11
00
00
10
00
01
11
00
10
10
11
00
01
10
00
11
00
00
10
00
00
00
10
10
10
01
11
10
10
01
00
11
00
11
01
11
10
10
10
00
00
10
10
00
00
10
10
00
00
01
10
01
11
00
01
00
01
10
00
10
11
10
00
00
11
00
10
00
00
00
10
11
10
00
10
01
11
11
00
00
00
10
11
10
10
00
00
11
01
11
00
01
00
10
11
10
10
00
01
01
01
00
10
10
01
11
00
00
11
01
01
10
01
10
10
10
11
01
00
01
10
01
01
11
10
10
00
10
00
00
00
11
01
00
00
00
00
11
10
10
01
00
11
11
10
01
00
10
10
11
10
10
10
01
01
00
00
00
01
00
11
10
11
00
10
11
10
00
01
00
00
00
10
00
00
00
00
10
10
11
10
01
00
10
10
10
00
01
11
11
01
10
10
00
01
01
01
10
10
00
01
11
10
10
01
10
10
11
01
00
01
11
11
11
11
00
01
11
10
00
01
11
10
11
00
00
00
10
10
11
10
00
00
11
00
10
10
01
10
10
01
00
01
01
10
10
00
10
10
00
00
10
01
10
00
11
10
01
11
00
10
10
00
00
10
01
00
11
00
01
00
11
00
11
00
01
10
11
11
00
11
11
00
01
10
10
00
00
01
11
01
10
10
10
11
11
00
00
10
00
10
00
00
10
10
00
00
10
01
10
11
00
00
11
10
00
00
11
10
00
01
10
10
01
00
00
11
10
01
00
01
00
10
10
10
10
00
01
10
01
10
10
01
11
00
10
10
00
00
10
00
10
00
01
10
00
01
00
10
00
11
10
10
10
01
01
10
10
00
00
00
10
10
10
10
01
00
01
01
10
01
11
10
01
01
01
11
10
00
10
00
01
10
10
00
00
10
01
00
10
10
10
10
11
10
00
10
01
10
10
10
00
10
11
00
00
00
10
01
00
11
10
01
00
10
10
00
01
01
11
10
01
10
10
10
10
00
00
00
00
11
10
10
00
10
00
00
10
11
10
11
00
01
01
00
10
00
00
11
00
00
00
00
10
00
00
00
00
11
10
11
00
10
10
11
01
10
00
00
10
00
10
10
10
11
11
01
10
00
11
11
01
00
00
11
10
11
11
01
00
11
10
10
00
00
00
10
11
00
00
11
10
01
11
10
00
11
11
01
10
11
10
11
00
00
00
10
00
11
00
00
11
10
10
01
10
01
10
10
00
10
00
11
01
00
01
10
11
00
10
10
00
00
00
10
00
00
10
11
10
00
11
10
10
11
11
00
10
10
00
10
10
10
00
10
10
00
01
10
10
00
11
00
11
10
10
01
11
10
10
10
10
01
00
10
10
01
00
00
10
10
00
01
10
00
01
01
01
10
00
11
10
10
01
00
01
10
10
00
10
01
00
11
10
10
11
10
11
00
10
00
01
01
00
01
11
10
11
01
01
01
11
10
00
00
10
01
00
10
10
10
11
10
01
00
01
00
10
10
01
00
11
00
00
00
00
11
11
00
01
11
10
01
10
01
00
11
10
10
00
01
00
10
00
00
10
11
10
00
11
10
11
00
11
11
10
10
00
01
10
00
00
01
01
01
11
10
10
01
01
01
01
10
11
00
10
11
00
00
00
10
10
11
00
00
10
10
00
00
00
10
00
00
00
00
01
10
11
00
11
00
11
00
11
10
00
00
10
00
10
01
10
11
10
10
01
10
11
00
10
10
11
10
10
11
00
00
10
00
00
01
10
00
10
11
11
11
10
10
10
00
00
01
10
10
00
00
01
00
00
10
01
10
11
10
00
01
00
10
10
00
10
10
10
00
00
10
10
10
01
10
01
11
10
10
00
11
10
11
00
10
10
10
00
01
10
10
00
00
00
10
01
00
10
10
00
11
01
00
00
00
11
11
11
10
10
10
00
11
11
10
01
00
00
10
11
10
10
01
01
00
00
00
10
10
11
00
00
01
10
01
00
10
01
00
11
10
00
00
10
00
01
00
11
10
01
11
01
11
10
11
00
01
10
10
00
01
10
11
00
11
00
01
11
10
00
01
10
01
00
10
10
00
01
10
10
01
01
10
00
10
01
11
11
00
00
00
11
10
00
10
11
11
00
10
10
00
11
11
11
11
10
10
00
01
00
00
11
10
11
00
10
11
10
00
00
00
10
11
10
11
00
10
01
11
01
10
10
00
00
11
00
10
11
01
10
00
11
00
00
10
10
11
00
11
01
00
00
11
10
00
10
11
00
10
10
00
11
11
10
10
10
00
01
00
10
01
10
10
10
01
00
00
00
10
10
00
01
11
10
01
00
00
01
00
01
10
01
00
01
10
10
00
01
11
11
10
10
00
00
00
10
00
00
10
00
10
10
10
00
00
01
10
01
00
00
00
00
01
11
10
01
10
11
00
01
00
11
00
00
10
10
00
10
11
00
11
00
11
10
01
10
00
01
00
11
10
10
01
11
10
00
00
10
00
00
10
10
10
01
00
10
00
10
01
10
10
00
11
00
11
10
01
01
00
10
10
00
00
10
01
00
11
11
01
10
10
10
10
01
00
00
10
11
11
10
10
10
10
01
00
01
10
00
01
01
01
10
10
11
10
00
10
00
01
10
10
10
00
00
01
10
10
10
10
00
10
00
10
11
00
01
00
11
10
10
10
10
10
00
00
10
10
11
00
00
10
01
11
00
01
10
10
00
11
01
01
11
11
11
00
01
10
11
00
00
00
00
11
01
01
10
10
10
00
00
10
10
00
10
10
00
00
00
00
10
10
10
11
00
00
10
01
10
10
00
10
10
01
01
01
01
00
00
11
10
10
00
00
10
11
11
00
10
01
10
10
00
10
11
10
10
00
10
10
10
01
11
10
00
00
10
10
00
01
10
10
11
11
10
00
01
10
00
11
11
10
01
00
00
00
10
00
00
00
11
10
00
10
10
11
10
10
10
11
00
00
00
01
00
11
10
11
10
10
11
00
10
10
00
01
10
10
00
11
00
00
00
11
00
01
00
00
11
10
10
10
10
01
01
11
01
00
00
00
10
00
10
10
11
10
10
00
00
11
01
10
10
10
00
00
01
10
10
10
00
10
00
00
00
00
11
10
01
11
00
10
10
11
11
00
00
00
10
00
10
11
10
11
00
01
01
00
00
10
01
00
00
10
11
10
01
00
00
00
10
10
00
11
10
00
00
00
01
01
00
10
11
10
11
00
00
01
10
01
00
11
11
00
00
00
00
11
01
00
10
00
01
10
10
10
00
00
11
10
11
11
00
00
00
11
00
10
10
10
10
00
10
10
11
10
01
01
00
10
00
11
10
10
11
00
00
01
10
01
01
10
00
01
11
10
01
00
01
10
10
01
11
11
10
00
01
00
01
01
10
10
10
00
00
11
10
01
00
10
10
11
00
10
10
00
11
11
11
00
00
10
10
10
00
00
10
10
00
00
11
11
00
00
11
01
11
00
10
00
00
00
10
11
00
01
10
10
10
00
00
11
10
00
00
01
11
10
11
00
10
10
10
00
00
10
01
00
11
00
11
10
10
00
00
01
10
01
00
10
10
10
11
10
10
01
10
00
00
10
01
10
01
10
01
00
10
11
00
10
10
01
10
11
10
11
10
10
00
01
00
10
11
10
01
10
10
00
10
01
01
01
00
01
00
10
10
00
10
01
10
10
10
11
01
00
01
10
00
00
11
00
10
10
00
01
10
11
01
10
10
00
00
00
00
00
00
11
10
00
00
00
10
00
10
10
00
01
11
11
10
11
00
10
00
10
00
00
10
00
00
00
10
10
01
00
10
10
00
01
11
10
10
10
10
00
00
01
11
10
10
01
10
00
00
01
10
01
10
11
01
01
11
10
01
10
10
10
11
00
00
00
11
11
10
10
00
11
00
10
10
00
00
10
01
00
10
11
00
10
10
01
10
11
00
00
01
10
01
00
11
11
00
01
11
01
01
10
10
01
00
11
00
10
11
00
01
00
11
10
00
01
11
10
00
00
10
01
10
11
10
00
00
00
00
00
10
10
11
11
10
00
00
00
11
00
00
10
10
00
00
11
00
10
01
10
10
10
01
01
11
00
01
01
10
10
11
11
00
00
11
00
00
00
00
11
11
01
01
00
10
01
10
01
01
11
10
10
01
00
00
00
10
10
10
11
11
00
11
10
01
00
11
00
01
10
10
01
00
10
10
01
00
00
11
00
00
10
01
10
01
00
00
00
01
01
10
10
00
01
10
10
00
00
10
10
11
01
10
10
10
01
10
10
00
00
00
10
11
01
10
11
10
11
00
00
00
11
01
00
11
10
11
11
00
00
00
00
00
10
11
01
01
10
00
01
00
00
10
00
01
00
01
11
00
01
10
01
00
10
10
10
00
00
10
10
10
00
00
11
01
11
01
01
11
10
10
01
00
10
11
10
00
11
10
10
01
00
10
00
00
10
00
00
00
01
00
00
00
01
10
00
01
00
10
10
10
00
01
10
11
01
10
10
10
10
01
10
10
00
01
11
00
10
00
00
10
00
10
01
10
00
00
10
00
00
01
00
01
11
10
00
10
10
00
01
10
11
00
00
10
10
10
00
00
11
01
11
00
11
10
00
00
10
10
00
01
11
00
00
00
11
11
10
11
10
01
01
10
01
00
00
10
00
01
10
01
00
01
10
00
10
10
11
00
10
10
00
00
00
10
10
10
11
00
10
01
11
10
10
00
00
11
10
10
11
10
00
10
10
00
10
11
00
11
00
01
10
10
10
00
10
10
10
10
00
00
01
10
10
10
01
00
00
10
00
01
01
11
00
10
10
00
11
01
01
10
10
00
10
00
10
00
01
10
11
00
10
10
00
10
00
00
01
01
01
11
10
00
10
01
11
00
00
11
00
00
01
10
00
11
11
00
10
10
10
00
10
00
00
10
11
11
01
01
10
01
01
10
00
10
10
01
11
11
10
01
00
10
10
00
00
10
10
00
10
10
00
00
10
00
00
10
00
01
00
01
11
01
01
00
00
10
00
01
00
11
11
10
10
00
11
01
00
10
11
00
01
11
00
01
11
00
10
11
00
00
00
10
10
10
00
00
00
10
10
10
10
10
00
00
10
01
11
11
10
01
10
11
10
10
00
11
11
10
00
00
10
10
11
10
00
11
00
00
10
01
10
10
00
11
10
00
11
00
10
00
11
10
10
01
10
00
00
11
10
11
00
00
10
00
00
10
00
00
11
10
10
10
01
01
01
00
00
00
10
00
10
10
10
10
11
10
10
00
00
01
10
11
00
01
00
01
10
00
00
10
10
00
10
00
00
10
00
10
00
01
10
10
00
00
10
01
10
11
10
00
00
00
00
11
00
01
01
10
10
01
00
00
00
11
10
01
11
00
00
10
01
00
11
11
00
01
00
10
11
10
00
11
10
10
01
10
11
01
00
11
11
11
10
10
00
10
11
00
00
10
00
00
00
00
10
01
10
00
10
10
00
10
11
00
11
00
00
10
10
00
00
01
11
00
01
11
01
00
10
01
10
01
00
10
10
11
10
01
10
10
00
10
11
01
00
01
10
10
01
11
10
00
01
11
10
01
00
00
00
10
00
10
11
10
10
11
01
01
11
10
00
11
11
10
10
00
01
00
00
10
10
00
00
00
10
11
00
01
01
10
00
01
01
00
10
10
10
01
00
10
00
10
10
10
11
01
11
00
01
00
10
00
11
00
00
00
11
10
00
10
10
10
11
11
00
00
10
10
10
10
00
00
10
10
00
00
01
00
10
00
11
00
10
00
10
10
10
11
10
01
10
11
10
01
10
10
10
01
10
10
11
01
10
10
00
10
01
10
10
00
01
00
01
01
11
11
10
10
00
10
10
00
01
10
10
01
00
11
10
01
10
00
00
10
10
10
10
00
00
00
01
01
10
10
11
10
01
01
10
10
01
11
00
10
10
00
01
00
10
10
00
00
00
11
00
00
11
00
10
00
00
10
00
11
11
11
00
01
00
11
10
00
10
00
10
00
00
10
00
10
00
01
00
10
00
01
00
00
10
11
10
00
10
01
11
10
11
00
10
10
10
00
00
00
00
10
10
00
11
10
10
00
10
00
00
10
00
10
01
01
10
10
11
10
00
10
11
00
11
00
00
00
10
10
00
01
11
00
00
11
10
00
10
00
00
00
11
00
01
11
10
10
01
01
11
11
00
00
01
10
00
01
11
11
10
01
10
00
00
10
00
00
00
01
00
00
00
00
11
00
11
00
00
10
11
11
00
01
11
00
10
10
00
11
00
00
10
11
10
11
00
10
11
00
11
00
00
11
11
00
00
11
10
10
10
01
01
10
10
00
00
01
01
10
11
00
10
10
10
10
10
10
10
00
11
00
10
10
00
10
01
10
01
11
00
11
00
01
00
01
11
11
11
00
10
00
00
10
11
00
10
11
00
11
11
11
10
10
01
00
00
10
00
00
11
10
00
10
10
00
00
00
10
00
00
00
10
11
00
01
10
10
11
00
11
11
00
01
10
00
00
00
10
10
10
00
10
10
10
10
11
10
00
11
00
01
01
00
10
00
00
11
10
01
00
01
11
00
10
01
01
10
00
00
11
11
00
10
00
11
11
10
10
00
01
00
01
00
10
11
00
00
00
11
10
10
11
01
10
11
10
00
10
00
01
00
10
11
11
00
01
00
00
00
00
11
10
00
10
11
10
00
01
10
10
10
00
00
00
00
11
00
01
00
01
11
10
10
10
00
00
00
10
11
00
01
10
10
11
10
01
01
00
10
10
10
10
11
11
01
10
10
10
00
10
10
10
01
10
00
01
11
00
01
10
10
00
10
11
01
11
01
00
00
01
10
00
01
10
10
00
10
00
01
11
01
11
00
00
10
10
00
00
11
10
00
10
00
00
00
10
11
11
11
01
11
00
10
10
10
00
01
11
10
00
00
11
00
00
00
11
10
10
10
00
11
10
11
01
00
00
10
10
11
00
00
10
00
00
01
11
01
00
10
11
10
01
10
00
00
11
00
10
00
00
10
00
01
10
10
00
00
00
00
01
00
11
10
01
00
10
01
11
10
01
00
01
10
00
00
00
10
00
11
10
10
10
01
00
00
10
10
00
11
10
10
11
01
10
00
00
00
00
01
10
10
00
10
00
00
11
10
00
11
10
00
00
11
10
00
00
11
10
11
00
01
10
00
11
10
10
00
00
11
10
00
00
10
11
01
01
10
11
10
01
00
00
11
11
01
00
11
01
10
00
00
10
11
10
01
00
10
10
01
00
10
11
00
00
11
10
10
00
01
00
11
10
00
00
01
00
10
11
01
11
10
00
01
00
11
10
10
00
10
10
00
00
10
10
00
00
00
10
11
01
01
00
00
00
10
11
01
01
11
10
01
00
10
11
10
10
00
00
10
10
00
00
00
01
10
01
11
10
11
10
01
11
11
01
11
10
00
00
00
00
11
10
11
00
11
11
01
01
01
00
10
00
00
10
00
00
10
01
10
01
11
00
00
00
10
00
01
11
00
00
10
01
00
10
10
01
11
10
00
00
00
01
10
11
10
01
01
01
01
00
10
10
11
00
00
10
10
00
01
10
10
01
00
00
11
00
00
00
00
10
11
00
10
00
11
00
01
10
00
10
00
00
10
11
11
11
00
01
00
10
11
01
10
00
00
11
11
10
10
00
10
10
00
01
00
10
00
10
01
01
00
10
00
00
11
11
00
10
00
10
10
00
10
00
10
00
01
11
10
10
00
10
10
10
01
10
11
11
10
00
11
10
10
10
00
00
10
00
00
10
10
10
10
10
10
01
00
10
11
10
11
01
11
01
11
10
01
10
10
00
00
10
11
00
01
01
10
01
01
10
11
00
00
00
10
10
00
01
10
10
00
01
10
10
01
01
11
10
00
01
11
00
00
00
10
10
10
10
01
00
00
00
10
10
00
00
10
00
10
00
10
10
10
01
00
11
11
01
00
10
00
00
01
11
11
01
11
11
00
01
10
10
00
00
01
10
10
00
01
00
10
11
10
10
11
11
01
10
00
00
10
11
11
01
10
01
00
01
11
00
00
10
00
11
00
11
10
01
01
00
11
00
00
01
00
10
00
00
10
00
01
00
00
10
01
10
00
10
10
01
11
00
10
10
10
00
10
11
00
11
10
11
00
10
01
00
00
01
01
10
00
00
10
11
00
00
11
11
01
10
00
10
11
11
00
01
10
01
00
10
10
11
00
00
01
11
00
00
01
10
11
11
11
11
00
11
10
00
01
10
00
10
00
00
11
00
01
00
10
10
00
10
01
00
10
00
10
10
00
11
01
01
10
01
10
10
00
01
10
00
00
11
11
01
00
10
01
00
10
01
00
11
00
11
10
00
00
01
00
11
10
00
11
00
11
01
01
10
01
10
00
10
10
01
01
10
11
10
10
00
00
00
10
00
00
11
10
11
10
11
01
10
11
00
00
10
10
10
10
00
00
00
00
11
11
11
10
10
00
10
11
10
00
00
10
10
00
00
00
00
00
11
11
10
10
10
00
10
11
10
10
00
10
00
01
11
11
10
01
11
00
11
10
01
00
10
10
00
01
00
10
10
00
10
00
11
10
11
00
11
10
01
00
00
00
10
00
10
10
00
10
01
00
00
00
11
11
01
01
11
00
00
10
10
00
00
10
00
11
01
10
00
00
00
11
10
10
00
00
11
00
10
11
10
00
11
10
11
11
01
10
00
01
00
00
11
10
10
00
00
00
10
10
10
10
11
11
10
11
10
10
00
00
10
00
00
11
00
11
11
00
10
00
10
11
11
01
00
10
01
11
01
01
00
10
10
11
10
00
00
10
00
01
10
10
01
01
11
00
01
00
01
00
00
10
10
00
01
01
10
11
00
00
11
11
00
11
01
01
00
11
11
00
01
00
10
11
11
00
00
00
11
10
10
01
00
00
10
01
01
11
11
11
01
00
11
11
10
01
10
10
00
10
00
01
00
00
11
10
10
10
00
01
01
00
00
01
00
11
00
10
10
11
00
10
00
11
11
00
00
11
00
00
10
00
10
01
00
00
10
10
10
10
00
00
11
00
00
11
00
00
10
00
10
00
00
10
11
11
11
01
01
11
11
11
01
10
10
01
00
10
10
11
10
11
00
00
00
01
01
00
00
01
10
11
01
10
10
10
11
00
00
10
01
01
00
10
10
01
01
10
10
00
01
00
00
10
00
01
10
01
01
10
10
00
10
10
01
00
10
10
10
10
10
00
01
00
00
00
00
11
10
00
00
11
11
01
11
10
10
00
00
00
11
10
10
00
10
10
01
11
11
10
11
10
01
10
11
00
00
10
10
11
00
10
10
11
11
11
00
01
11
11
11
01
00
11
11
00
00
10
10
00
10
00
00
11
10
01
10
10
10
11
00
11
11
00
00
10
11
10
10
00
01
00
10
00
00
11
01
01
10
10
00
00
10
10
10
10
00
01
10
00
10
11
11
10
00
00
00
10
11
00
10
11
11
00
00
00
01
00
10
10
00
00
01
01
11
01
10
00
11
10
10
11
00
01
11
10
01
10
10
00
00
11
10
00
00
10
01
11
10
00
10
10
10
11
11
00
00
10
10
11
10
10
10
10
00
11
10
00
10
01
00
11
00
10
00
01
11
00
10
10
10
11
00
00
00
00
10
00
00
01
01
00
10
01
00
10
01
10
11
00
00
10
11
00
10
01
10
01
11
10
00
01
10
10
00
01
00
10
10
01
00
11
10
00
11
10
00
00
00
10
00
00
00
10
00
00
00
10
00
11
11
01
11
01
00
10
10
10
10
10
00
00
00
10
10
00
01
00
00
01
10
10
10
00
00
00
00
10
00
00
10
01
10
00
11
11
00
11
00
11
11
10
11
00
10
10
00
00
10
01
01
00
11
01
10
11
00
01
00
10
00
10
10
10
00
01
10
00
11
10
00
11
10
01
10
11
00
00
10
00
01
10
11
10
11
10
00
00
00
10
00
10
11
10
11
01
00
00
10
00
00
10
10
00
01
10
01
10
01
01
00
10
11
11
11
00
00
11
10
10
00
00
10
01
11
11
11
01
11
00
00
11
11
00
00
00
10
11
00
10
00
11
00
01
11
10
00
00
11
10
10
00
10
10
00
00
00
10
11
00
10
11
10
01
01
10
01
10
01
10
00
00
00
00
10
11
00
00
01
11
10
01
00
11
10
00
01
00
10
10
11
10
11
00
01
00
10
10
10
00
01
10
11
00
00
01
10
10
10
10
00
10
00
11
00
00
10
11
11
00
01
10
10
01
00
10
10
10
01
00
10
00
01
00
01
00
01
00
00
11
10
10
00
00
01
10
01
10
00
01
10
00
10
00
01
00
10
00
11
10
00
00
10
01
10
00
10
01
00
10
01
00
10
00
10
11
11
01
10
01
00
00
00
10
11
10
01
00
00
10
11
01
11
11
00
11
01
10
01
01
11
10
10
00
11
11
00
11
11
11
01
00
00
10
01
00
10
10
00
00
10
10
00
01
11
00
00
10
00
10
00
10
10
01
00
11
01
01
00
01
00
11
00
01
00
10
10
00
01
11
11
00
00
11
10
01
00
00
10
00
00
00
01
10
10
01
01
10
00
10
01
10
11
01
10
01
01
00
00
10
10
10
01
10
01
10
10
10
01
00
10
10
10
00
00
01
01
00
10
10
00
00
11
10
01
00
00
00
01
10
10
00
11
11
01
00
10
00
10
10
00
11
10
10
00
00
00
10
10
10
10
01
00
00
10
00
00
11
00
10
01
00
10
10
10
00
01
00
11
10
01
10
10
00
00
10
10
00
01
01
00
11
11
11
11
00
00
00
00
10
00
00
00
10
10
00
10
11
00
01
01
10
00
11
00
10
00
01
11
10
11
10
01
00
10
00
00
10
10
00
01
01
10
01
00
10
00
00
01
10
10
10
01
00
11
00
00
10
01
11
01
01
10
11
10
10
01
10
00
01
01
00
11
10
10
01
01
11
11
10
01
10
10
00
00
10
10
01
00
11
00
10
00
01
10
00
01
11
00
01
10
00
11
00
01
10
00
10
10
00
01
10
11
11
00
01
10
00
11
00
01
01
10
11
01
01
00
00
11
00
10
10
10
01
01
00
00
01
11
00
10
10
10
01
11
11
11
11
00
00
00
00
10
11
01
00
00
00
00
11
10
10
10
00
00
00
00
00
00
10
11
11
00
00
10
00
01
01
00
10
01
00
01
11
10
00
10
00
10
10
01
11
11
10
00
10
01
11
11
01
00
01
10
00
10
10
01
00
11
10
00
10
10
00
00
01
10
11
10
00
11
00
10
11
10
01
11
00
00
01
10
11
10
00
10
00
00
00
01
11
10
11
10
11
01
01
00
00
10
10
00
01
00
10
10
01
10
00
10
10
11
00
00
11
01
10
01
00
10
11
00
10
10
10
00
10
10
00
00
00
11
11
10
00
10
11
10
01
00
00
11
01
10
01
11
01
01
01
10
11
01
11
00
10
10
01
00
10
01
00
10
10
00
01
10
10
00
11
11
10
01
10
11
00
00
01
10
01
10
10
01
00
00
10
01
00
01
00
11
10
10
01
01
11
01
10
10
00
00
10
01
00
11
01
00
01
01
10
00
10
10
10
10
00
11
01
10
00
10
10
00
00
10
01
00
11
11
00
11
10
10
10
10
00
00
01
11
00
01
10
00
10
00
00
10
00
01
10
00
10
11
01
10
10
00
00
00
11
10
00
10
00
00
00
10
10
01
10
10
01
10
11
11
11
00
10
01
00
10
11
11
01
00
01
10
00
00
01
01
11
00
11
10
11
00
10
00
00
01
10
10
00
00
00
10
11
00
11
10
11
10
00
00
10
10
10
00
10
10
01
11
10
10
10
11
10
01
01
00
11
10
01
01
11
10
01
10
00
11
01
10
10
11
00
00
01
10
00
10
01
10
01
01
01
00
10
10
10
00
01
10
10
10
01
00
10
11
00
11
00
10
00
10
00
01
00
11
00
11
01
10
00
01
10
10
00
00
10
10
00
10
10
10
10
10
01
11
01
10
10
10
01
11
01
01
10
00
00
00
11
01
01
11
01
01
00
10
00
10
10
00
00
10
10
00
00
10
10
00
01
10
01
10
10
10
10
00
10
00
11
00
10
10
11
00
00
10
00
10
00
10
01
11
11
11
01
10
01
10
10
00
00
01
10
10
01
11
10
01
10
11
11
01
00
00
10
10
10
00
00
10
01
10
10
10
00
00
10
11
01
11
10
11
10
01
10
11
00
00
01
11
10
00
11
00
11
00
11
10
00
00
00
10
01
00
10
10
11
01
00
00
01
01
11
10
10
00
10
10
00
10
10
00
10
00
00
00
00
10
01
11
11
01
01
10
00
00
10
00
01
10
10
00
00
00
00
10
10
10
01
01
00
10
10
11
10
00
01
00
11
00
10
11
10
10
00
10
10
00
01
00
10
10
11
10
00
01
10
01
10
00
01
10
10
01
00
10
11
01
10
10
11
00
00
10
10
10
00
10
11
10
01
01
10
11
11
00
01
11
10
00
00
00
00
00
11
10
00
00
11
00
11
11
01
00
10
10
00
00
11
10
01
00
10
00
01
10
00
11
10
00
10
00
10
00
00
10
10
00
11
00
10
01
01
10
10
10
00
10
00
00
00
00
10
00
10
00
10
10
10
10
11
00
10
00
00
11
10
00
11
01
00
00
01
10
10
00
11
10
10
01
01
11
01
10
01
00
11
11
00
01
10
10
01
01
10
10
00
00
01
00
10
10
10
01
10
01
01
10
00
00
10
00
01
00
01
10
10
11
00
10
00
00
10
10
01
01
00
00
01
10
11
01
01
11
00
10
11
11
11
00
00
00
10
10
11
00
11
11
10
10
00
10
00
10
10
00
00
10
10
11
00
00
11
01
01
11
10
11
01
10
01
00
10
01
10
11
01
11
10
11
10
00
10
11
00
00
11
00
00
00
00
10
01
11
10
11
00
10
00
10
10
10
00
00
10
01
01
11
00
10
11
10
11
10
01
00
00
11
10
00
00
00
00
10
10
10
10
00
11
01
11
00
00
01
10
00
11
01
00
10
10
10
10
00
00
00
01
11
10
00
10
00
00
00
11
01
00
01
00
10
10
10
10
01
00
00
00
10
10
01
01
00
00
10
10
00
01
10
11
11
00
10
10
00
10
00
00
00
10
11
00
00
00
10
10
10
10
00
00
10
10
00
10
00
10
10
00
10
10
10
00
01
01
10
01
00
01
10
10
00
11
10
01
10
10
10
01
01
11
00
00
10
00
01
10
11
11
10
11
11
01
01
10
00
01
00
00
00
10
10
11
11
10
10
00
00
11
00
01
00
01
10
11
00
00
10
11
10
01
00
11
00
01
10
11
01
00
10
10
10
00
10
00
00
10
10
00
01
10
10
01
10
00
10
00
00
00
00
11
01
00
11
10
01
00
10
10
00
00
10
10
00
00
00
00
01
10
00
00
01
00
10
10
10
00
10
00
00
00
10
11
11
00
01
10
10
01
11
10
00
01
10
00
10
10
00
10
10
00
00
11
00
01
10
01
10
10
10
01
01
00
10
11
00
00
00
11
10
01
00
00
10
10
10
00
11
11
10
11
10
00
00
01
11
00
10
11
01
00
00
11
10
11
01
00
11
00
10
10
11
11
10
11
00
00
10
10
00
11
10
10
10
11
10
00
10
01
01
10
10
00
01
10
00
11
10
10
11
10
01
11
00
10
00
00
10
10
00
00
10
11
10
11
00
00
01
10
11
10
00
01
10
10
00
10
01
01
10
10
11
01
10
10
00
00
01
00
10
11
11
10
10
00
00
00
00
10
01
11
10
00
11
00
00
00
01
11
10
01
00
00
10
00
00
10
10
11
01
01
00
10
11
10
00
00
10
10
11
00
01
11
01
10
00
10
00
01
10
10
00
00
10
01
10
10
01
10
10
00
00
00
10
10
01
10
11
00
00
10
00
00
00
00
10
00
00
00
10
00
01
10
11
00
01
10
11
01
00
00
10
10
00
11
11
11
10
00
00
00
10
00
00
10
10
11
00
00
10
00
10
10
10
11
00
01
10
00
01
01
01
10
11
00
10
11
00
01
11
10
00
01
10
10
00
11
11
10
00
01
00
10
00
00
11
10
00
10
00
00
10
10
01
10
10
00
01
11
00
11
10
10
01
00
01
01
11
10
10
00
11
10
00
00
10
10
11
11
10
11
10
10
00
01
00
10
10
01
10
00
00
10
00
00
10
10
10
10
10
00
11
00
01
11
00
01
11
11
00
10
10
01
01
01
11
11
10
01
10
11
10
11
00
10
00
01
10
11
01
00
10
00
00
00
00
10
00
10
00
01
00
11
10
01
10
10
01
00
00
00
01
10
00
00
10
11
00
00
10
00
01
10
01
00
11
01
00
10
11
10
01
01
10
01
10
00
00
10
10
11
11
00
11
10
01
00
00
11
10
01
00
00
10
00
01
10
01
00
10
11
00
10
00
10
10
01
01
10
10
11
10
00
01
00
00
11
10
10
11
10
01
00
01
10
10
11
00
10
10
11
00
10
10
01
00
00
00
10
01
10
00
00
10
10
10
00
00
01
00
11
01
00
00
01
00
01
10
10
00
10
10
11
00
00
11
10
10
10
00
10
11
11
00
11
10
00
11
00
01
10
10
01
00
11
10
11
00
01
01
00
01
00
10
10
00
10
10
00
00
10
10
00
10
10
01
10
01
00
00
11
00
00
00
11
10
10
10
00
11
00
10
01
10
11
10
00
00
11
10
10
00
01
10
10
10
00
00
10
10
00
11
10
00
11
11
10
00
00
11
10
10
00
01
11
11
00
01
10
00
11
00
10
10
00
00
00
10
00
00
00
00
11
10
10
01
00
01
10
00
11
10
11
00
10
00
10
01
00
10
10
10
10
00
11
10
00
10
00
00
11
11
01
10
10
00
00
10
10
11
00
10
11
00
01
10
00
00
01
01
10
01
10
10
10
01
00
00
00
11
00
11
10
11
00
00
00
00
10
01
11
10
00
01
00
00
10
01
00
00
10
00
10
10
10
10
01
11
00
00
10
11
00
01
10
01
10
01
01
10
00
00
00
11
00
01
11
01
10
00
10
10
11
00
00
01
10
11
01
00
10
10
11
00
11
10
11
01
11
10
01
00
10
10
01
01
11
10
10
00
11
11
00
00
10
11
00
00
10
10
00
00
00
10
00
11
00
01
11
00
11
11
00
01
10
00
00
11
10
10
01
00
00
01
11
10
10
01
01
01
00
10
10
11
10
10
01
00
10
10
01
00
00
10
11
10
10
10
11
00
00
10
01
10
00
01
10
10
10
00
00
11
10
00
11
11
10
00
10
01
11
11
00
00
10
11
10
11
10
00
00
10
10
11
10
11
00
01
01
01
11
00
10
10
00
00
11
10
00
11
00
10
00
00
11
00
00
11
10
11
00
10
00
11
10
00
10
10
10
00
00
01
10
10
11
10
01
10
00
00
01
00
10
10
00
00
00
10
00
10
00
10
10
01
01
11
10
10
11
00
00
10
10
00
00
10
10
11
10
00
00
00
10
10
10
00
01
10
10
10
00
11
00
00
01
00
00
10
01
11
11
01
00
00
11
00
00
00
00
10
10
11
10
11
10
00
10
10
01
00
11
00
10
00
00
11
10
10
01
01
11
10
00
00
10
11
00
10
10
00
00
00
00
11
11
00
01
01
00
11
10
01
10
01
01
10
00
00
11
11
11
10
00
00
11
00
11
10
00
00
10
00
01
01
10
01
11
10
01
11
10
00
11
10
00
00
10
00
11
00
01
00
01
11
00
10
01
00
10
10
10
10
00
00
10
11
00
00
10
00
00
00
10
01
11
01
01
10
11
01
01
10
00
00
10
00
01
10
11
00
00
10
00
00
00
00
10
00
11
10
00
11
11
10
01
10
10
01
00
00
10
00
00
01
01
11
10
10
00
01
00
10
11
00
01
00
10
11
01
11
10
00
00
10
10
00
10
10
00
00
10
10
10
10
00
00
11
01
10
10
10
00
00
11
11
00
00
11
00
00
11
00
10
10
11
00
00
11
01
10
10
10
11
00
00
00
00
11
00
11
11
00
00
01
01
01
11
10
10
00
01
00
10
10
00
00
10
00
01
10
00
10
00
00
10
10
00
01
01
10
00
11
11
10
00
00
10
11
00
01
00
00
11
10
10
11
11
00
11
10
00
00
00
01
00
10
10
11
10
01
11
10
01
01
00
10
10
00
11
10
00
00
11
11
10
11
01
01
11
00
01
10
00
00
00
11
11
10
00
00
01
01
11
10
11
01
00
10
01
01
10
01
10
01
00
10
10
00
00
11
01
10
11
00
00
00
10
00
10
01
11
11
10
10
11
10
01
00
01
10
11
10
00
00
10
00
01
10
11
00
10
00
01
11
11
10
01
10
10
10
00
10
10
11
01
00
11
11
01
10
00
00
00
10
10
11
01
11
11
01
11
11
01
10
01
01
11
11
00
00
10
00
00
00
00
00
10
00
10
01
00
10
11
10
00
01
10
10
10
10
01
11
01
10
10
11
10
10
11
00
00
00
01
11
00
11
10
11
10
00
01
00
00
10
10
01
00
11
10
10
00
01
10
00
00
10
10
00
11
00
10
00
01
11
11
00
10
10
11
10
01
11
10
00
11
10
00
10
10
00
00
10
00
01
10
10
01
11
11
00
10
00
11
10
01
10
10
10
00
00
00
00
11
10
00
10
11
11
00
10
10
10
11
11
01
00
00
00
10
10
00
00
10
00
00
00
10
10
01
01
00
01
11
11
11
01
10
11
10
00
10
10
00
11
00
00
00
11
10
10
10
00
10
10
01
01
11
11
10
10
10
01
01
10
11
10
01
10
10
11
00
00
00
10
00
00
00
01
00
00
11
00
11
11
00
10
11
00
00
11
10
00
10
01
10
11
11
10
01
00
11
00
00
10
01
10
10
10
01
00
00
00
10
10
10
10
11
00
00
10
10
11
00
01
10
10
00
00
11
01
00
11
10
10
00
00
00
00
10
10
00
00
00
10
00
10
00
00
10
00
10
00
11
11
01
00
11
10
11
00
10
11
00
10
11
10
01
10
10
10
10
00
11
10
01
00
00
00
00
00
11
10
00
00
01
00
11
10
00
10
00
11
00
00
10
00
01
00
10
10
00
10
01
10
11
00
00
10
01
00
10
00
10
00
00
10
11
11
01
00
01
10
10
11
10
10
01
00
11
01
00
00
11
11
10
10
00
01
10
11
00
00
10
11
10
01
00
10
10
00
11
10
00
01
10
10
11
00
10
10
00
01
10
01
10
00
00
11
00
00
11
10
01
01
00
11
01
00
10
00
10
11
10
01
10
10
01
10
10
00
00
10
00
01
00
01
00
10
10
10
11
10
01
00
00
00
11
00
00
00
11
10
00
00
00
10
00
00
11
01
10
11
10
00
01
00
10
11
00
01
00
00
00
10
10
10
00
00
11
00
10
00
00
10
00
01
10
00
00
10
10
01
00
00
11
10
00
11
00
10
00
10
10
10
00
01
00
11
00
11
10
00
01
10
10
01
00
10
10
00
00
10
00
00
00
01
10
00
01
11
10
00
00
10
00
10
01
00
01
10
00
10
10
10
00
10
11
10
00
00
00
10
10
10
00
11
11
01
10
00
10
01
01
00
11
01
11
10
01
10
11
10
01
00
10
10
01
00
10
10
00
10
00
01
10
01
00
11
10
11
10
00
11
10
00
00
00
01
00
00
10
00
00
01
01
10
10
11
00
01
00
11
01
01
10
01
11
11
01
10
10
11
00
00
00
11
10
00
10
10
00
10
10
10
10
10
00
01
00
01
00
10
10
10
00
11
10
00
00
00
10
00
00
10
11
01
00
00
00
01
00
01
10
10
10
10
01
10
00
01
10
01
10
10
01
10
11
11
00
00
00
10
10
10
00
00
00
01
10
00
11
11
11
11
10
01
00
10
00
00
10
11
10
11
00
01
11
01
11
00
01
10
00
00
01
10
10
01
00
01
00
01
10
10
10
11
10
01
01
11
10
11
00
00
00
10
01
00
10
10
00
00
10
10
00
00
00
01
10
01
01
11
01
00
00
00
00
11
11
00
01
00
01
00
00
10
10
01
00
01
10
00
10
01
11
10
01
00
00
10
11
11
10
01
00
10
11
10
01
00
11
10
10
00
11
00
00
10
01
00
10
10
10
10
00
00
00
00
10
10
11
10
10
00
11
00
10
00
01
10
00
00
11
00
00
10
01
10
10
00
00
10
10
10
10
01
00
00
01
10
00
10
00
00
01
10
11
00
01
10
00
10
11
00
11
10
10
10
00
00
01
01
10
10
00
00
00
00
10
10
10
10
10
10
00
01
10
01
00
11
01
10
10
00
01
00
10
00
00
10
10
10
10
00
11
01
10
10
10
10
11
00
01
10
01
10
00
00
10
10
11
11
00
01
10
10
10
01
00
10
11
11
11
01
11
00
00
10
00
10
00
00
10
10
10
10
11
10
01
10
01
01
00
00
10
10
01
01
01
10
11
00
01
11
11
00
10
11
01
11
11
01
10
10
00
10
10
01
00
10
00
00
10
11
10
10
10
00
10
00
00
10
00
01
00
10
01
00
10
00
00
10
00
00
00
01
01
11
00
10
11
01
00
10
10
01
00
10
11
10
10
00
01
00
11
11
10
11
01
00
10
10
01
00
10
11
00
10
11
01
01
01
00
10
10
01
10
01
10
11
00
10
10
00
10
10
10
01
00
01
11
10
00
10
00
01
01
10
11
01
10
00
00
10
11
10
01
10
10
10
00
10
01
10
01
01
11
11
10
10
10
00
01
11
00
11
00
10
00
10
11
01
00
11
10
11
00
10
10
01
10
00
10
00
10
11
10
11
01
10
01
00
11
11
00
00
00
10
11
00
00
10
10
00
00
11
10
00
10
00
01
00
01
00
01
10
10
11
10
00
11
11
10
00
00
10
01
10
01
00
00
00
00
00
00
10
11
01
11
11
10
11
00
00
10
10
00
11
10
01
01
00
01
11
11
10
00
01
10
10
01
01
11
01
00
11
10
10
00
01
10
11
00
01
11
00
01
00
00
10
00
00
11
00
00
00
10
01
00
10
00
00
10
10
11
11
10
01
00
11
00
00
10
01
10
10
11
00
01
10
10
00
01
00
00
10
11
01
11
11
10
01
01
10
00
00
10
10
10
11
01
11
11
10
00
11
00
10
00
10
11
00
10
01
10
00
10
11
00
01
10
10
11
00
00
00
10
00
10
00
01
01
11
10
11
01
11
10
10
00
00
01
10
11
00
00
10
11
00
01
01
10
00
00
10
11
11
00
11
00
00
00
10
00
01
01
11
10
00
10
00
11
10
10
01
11
10
00
01
11
10
00
10
01
01
10
11
00
00
10
01
11
10
00
00
01
10
10
10
00
01
10
00
10
10
00
00
00
00
11
00
00
10
00
00
00
00
00
11
10
00
01
00
11
10
10
01
11
00
11
10
10
11
10
00
10
10
00
00
00
10
11
00
10
10
01
10
11
00
11
01
01
00
10
10
01
00
00
11
11
00
10
00
00
10
10
00
01
00
10
00
10
00
11
10
10
00
00
00
01
00
11
00
00
00
10
11
00
10
10
00
10
00
11
10
00
01
11
01
01
11
10
11
01
11
11
00
00
00
11
10
00
11
11
00
00
01
00
00
11
00
10
10
01
11
00
01
10
01
00
11
00
10
00
00
10
00
00
11
10
00
01
00
01
00
00
01
00
01
11
11
00
00
10
00
00
11
01
00
10
10
11
00
10
00
00
00
11
11
11
10
10
01
00
00
11
00
10
10
01
10
10
10
00
11
00
00
10
01
10
01
00
00
10
10
11
10
10
10
00
00
00
00
00
01
00
10
11
10
11
01
00
00
01
00
01
00
10
10
10
00
00
01
11
10
01
00
01
10
00
11
10
01
11
01
01
00
10
00
01
10
10
00
00
01
00
01
01
00
11
10
00
00
10
10
00
10
01
00
10
00
01
10
11
11
10
11
00
10
00
00
10
10
10
00
00
11
00
01
01
11
10
10
11
00
00
11
00
00
10
11
10
11
00
10
00
01
10
11
00
00
00
10
00
00
10
10
01
00
01
00
01
00
01
10
00
10
10
11
10
11
01
11
00
00
01
01
11
10
01
00
10
01
01
10
11
01
10
10
00
10
00
01
11
10
00
00
10
01
00
10
10
00
00
11
10
00
11
11
01
00
01
10
10
01
10
00
01
10
10
10
00
01
10
10
00
10
00
00
10
10
01
00
00
01
10
00
00
10
10
10
01
00
00
10
11
00
10
10
00
10
10
01
10
01
00
00
00
10
11
11
10
00
10
10
10
10
00
10
10
10
11
10
10
11
11
00
11
10
01
11
00
00
10
10
00
10
10
01
11
10
01
11
01
00
10
11
00
00
10
10
01
11
10
10
00
00
00
10
10
00
01
00
00
11
10
11
00
10
10
10
00
00
01
11
10
00
11
00
11
11
00
00
11
10
01
10
10
00
11
10
00
10
10
10
00
01
11
01
10
10
10
01
10
11
01
01
00
11
01
10
10
01
01
01
10
11
10
00
11
00
00
11
01
00
01
10
00
01
10
00
10
10
00
00
10
11
00
10
10
00
00
01
00
11
11
00
10
10
11
10
00
00
11
10
00
01
00
11
10
11
00
00
00
10
01
00
00
11
00
10
11
00
00
01
10
10
10
11
10
00
01
00
00
10
00
00
10
00
10
00
10
10
01
00
10
10
10
10
11
10
11
01
00
11
00
00
01
01
11
10
10
00
00
00
11
10
00
01
10
01
11
00
10
10
00
00
10
11
00
00
00
10
00
10
00
01
00
10
00
01
10
11
00
00
00
00
11
00
10
11
10
01
11
10
01
10
10
10
10
01
11
10
00
00
10
00
10
10
00
00
11
00
00
10
00
10
10
10
01
10
10
01
00
01
01
11
00
00
00
11
01
01
01
11
10
00
10
10
01
00
01
10
10
00
01
01
11
10
00
00
00
11
10
00
00
10
00
00
11
11
00
00
01
01
10
11
10
00
01
11
10
11
00
00
00
10
10
00
00
11
11
00
00
10
11
10
01
10
11
00
10
00
10
01
00
10
00
10
10
11
00
00
00
00
10
10
10
00
00
01
10
10
00
10
00
10
01
00
00
01
11
01
00
01
00
10
10
10
10
11
10
10
11
10
00
00
10
01
01
10
00
10
11
11
10
10
01
00
10
11
00
01
10
11
00
00
11
00
10
10
10
00
11
10
11
10
00
10
00
11
01
00
10
10
11
00
00
10
11
01
10
10
00
00
01
00
10
10
01
00
01
01
00
10
01
00
10
01
11
11
10
10
00
00
00
00
10
10
00
10
10
10
01
01
01
00
00
10
00
01
00
11
10
00
10
01
00
10
01
00
10
11
01
00
11
10
01
01
01
10
00
10
10
00
00
01
10
11
00
00
10
11
00
00
10
10
10
01
01
10
01
00
00
00
10
10
00
01
10
10
00
00
00
10
00
00
10
01
00
10
10
11
11
11
10
00
00
01
10
11
10
00
01
11
10
11
00
00
10
10
10
00
00
10
10
00
01
00
00
00
10
10
11
10
10
01
00
10
00
01
00
11
00
11
10
01
10
10
11
10
01
00
10
00
00
11
00
11
00
10
10
00
00
11
10
00
11
00
01
11
10
11
10
00
10
01
11
01
11
01
00
00
00
10
00
00
10
10
00
10
10
00
01
11
01
00
00
11
00
01
10
00
01
10
01
00
01
10
00
10
01
00
00
00
00
00
10
10
10
10
00
01
10
10
00
01
00
01
00
10
10
00
00
11
10
00
11
00
01
10
00
00
00
10
00
00
10
10
10
11
10
11
00
00
11
00
10
11
00
01
10
11
00
00
11
00
01
10
00
11
10
10
11
11
00
01
11
10
10
11
10
00
10
00
00
01
10
10
00
10
00
10
00
10
01
00
11
10
11
01
01
10
10
10
01
11
10
01
00
10
11
00
00
11
11
00
11
11
01
10
10
01
00
10
10
00
11
00
01
11
00
11
00
00
00
10
11
11
00
00
00
11
10
00
10
10
01
10
00
10
00
01
01
10
10
10
11
11
00
01
00
01
10
11
00
10
10
00
01
10
00
00
00
10
10
11
10
00
01
00
10
11
00
00
01
00
10
01
10
10
00
00
01
01
00
10
10
01
10
10
01
10
00
00
10
10
10
00
01
00
10
01
10
00
11
00
00
11
00
00
00
11
11
00
10
10
10
01
10
00
00
10
10
11
01
10
00
01
00
10
10
10
01
00
10
10
00
10
01
10
11
01
10
10
10
10
00
00
10
10
00
11
00
00
11
00
00
00
00
11
11
00
00
10
00
00
00
00
11
00
10
10
11
10
00
00
00
11
00
00
11
11
01
10
11
11
00
01
01
11
10
00
00
00
10
00
10
10
01
11
00
10
01
10
01
10
01
00
00
01
10
01
10
10
00
00
00
01
10
10
01
10
01
10
00
01
00
10
10
01
11
01
11
00
00
11
00
01
10
11
01
11
00
10
00
00
10
10
01
10
10
00
10
10
10
01
11
00
00
01
10
10
01
11
00
00
10
00
10
10
10
00
01
10
01
00
11
00
10
00
10
10
00
10
11
00
11
11
01
10
01
01
10
01
00
10
10
01
11
00
00
01
01
10
01
00
11
00
00
10
10
01
00
00
11
11
01
00
10
10
10
01
10
00
11
11
00
01
00
10
00
11
10
11
11
00
00
10
11
01
00
00
00
10
00
00
10
11
00
01
10
10
10
00
00
00
10
11
00
10
00
00
01
01
11
11
10
10
00
00
00
00
10
10
01
00
00
00
00
10
10
00
00
10
10
11
01
10
01
00
01
10
10
10
00
10
11
00
00
10
10
00
01
10
01
00
01
10
10
11
00
01
10
01
00
00
10
01
11
00
00
11
11
00
10
00
01
00
10
10
00
01
10
10
00
10
10
10
01
10
10
10
10
00
10
00
00
11
11
10
10
11
11
01
01
10
11
01
10
10
11
00
01
10
10
00
01
10
10
11
00
00
11
10
00
10
01
10
10
00
10
00
00
01
11
00
10
01
01
00
01
10
00
01
00
10
00
00
10
10
10
11
00
11
11
00
01
00
11
00
10
10
10
00
00
00
11
00
01
00
10
00
10
11
01
11
11
10
10
00
01
10
00
00
10
11
00
00
10
10
00
10
00
10
00
00
10
00
00
10
11
11
11
11
00
01
10
11
11
00
00
11
11
11
10
00
01
11
00
11
00
00
10
01
10
00
00
10
00
00
00
00
10
10
01
10
10
00
00
11
10
00
01
11
11
11
01
11
10
00
10
01
00
10
10
10
11
10
00
00
10
00
10
00
11
11
01
11
00
00
00
00
10
00
00
11
10
01
10
11
10
01
10
00
11
11
00
00
10
10
10
10
01
00
01
00
01
00
10
10
11
01
00
10
10
10
10
00
10
10
10
01
00
00
01
10
00
10
10
11
01
00
11
00
11
10
00
01
10
10
00
10
01
01
10
10
11
00
10
01
01
01
00
11
10
10
00
00
00
10
10
00
10
11
11
01
10
01
10
00
11
00
00
10
10
00
10
00
00
11
10
10
11
00
01
00
00
00
10
00
10
00
00
01
11
10
10
11
10
00
01
10
00
00
00
00
00
10
00
11
10
00
01
10
00
01
11
10
10
00
00
00
00
10
00
00
10
01
11
01
11
00
10
11
10
01
00
00
11
11
01
10
10
00
01
10
01
01
10
00
01
00
00
00
01
10
11
10
00
10
10
00
01
01
11
11
00
10
00
01
10
11
10
01
00
10
11
00
10
11
10
00
10
10
10
00
01
10
01
11
10
01
00
11
00
10
10
00
00
10
11
10
11
10
01
00
10
10
00
01
00
10
11
10
11
10
00
01
01
01
10
10
00
00
00
10
10
00
00
00
10
01
10
10
01
10
00
10
00
01
01
11
10
01
01
10
00
00
01
10
10
00
10
10
01
01
10
01
00
01
11
10
00
10
00
00
00
10
11
10
00
10
11
10
10
01
00
00
10
10
00
11
10
10
11
00
10
00
10
00
10
00
00
00
10
11
10
01
01
00
10
10
00
01
10
11
10
10
11
00
11
01
01
10
10
10
00
10
11
00
01
11
11
00
00
10
00
00
10
10
00
01
10
10
10
00
00
10
00
00
11
01
00
01
01
10
11
01
10
10
10
00
00
01
11
11
10
00
00
11
01
10
01
10
10
00
01
00
10
11
00
01
10
00
00
01
00
00
10
10
01
01
11
00
10
00
10
00
11
11
10
01
00
10
00
10
10
00
00
11
10
01
10
10
00
10
00
01
10
10
11
00
01
10
00
10
10
00
10
01
01
10
11
11
00
01
10
00
11
11
10
10
00
00
00
00
10
11
00
01
11
11
00
00
00
11
00
11
00
00
00
00
10
10
01
01
10
10
11
01
10
00
01
00
01
10
10
10
01
10
11
10
00
10
00
10
10
01
00
10
01
00
00
01
01
00
10
01
10
00
00
10
11
00
00
00
10
11
11
01
01
10
10
01
01
11
10
01
10
11
11
01
10
11
10
11
01
00
10
11
00
01
01
10
00
10
01
10
00
10
10
11
00
10
00
10
10
00
10
11
10
10
11
11
00
00
01
00
00
10
10
10
00
00
00
01
01
00
10
01
10
00
10
10
10
10
00
00
00
00
10
10
00
10
10
01
01
11
00
00
01
11
00
00
01
10
00
10
00
10
00
00
01
00
10
00
10
11
10
00
00
00
10
00
00
10
11
01
11
10
01
01
00
00
10
00
00
10
10
10
00
10
01
00
11
10
10
00
00
00
00
01
00
00
10
00
10
11
10
10
00
01
10
10
00
01
11
11
11
00
10
10
10
00
00
10
11
10
10
11
10
10
00
01
01
10
01
01
10
00
11
10
00
00
00
10
00
00
00
01
00
10
10
10
00
00
10
10
01
00
10
01
00
11
01
10
00
11
10
01
01
10
11
10
10
00
01
10
11
00
00
00
11
00
00
10
11
00
01
10
10
11
10
11
00
00
00
00
11
01
11
10
01
10
01
10
01
10
11
11
01
00
11
10
01
01
11
00
01
10
10
00
10
10
00
11
10
00
10
01
10
11
00
01
01
11
00
00
11
11
00
10
10
00
10
11
00
01
10
00
00
00
01
10
10
00
11
10
00
10
10
10
00
00
10
10
01
00
10
00
10
00
11
10
00
11
11
00
10
10
10
11
01
01
00
10
10
00
10
01
00
10
01
01
11
00
00
01
10
01
00
01
10
10
10
11
01
00
11
11
01
11
11
01
00
00
10
11
10
00
00
10
01
10
00
10
10
00
10
10
11
00
00
00
10
00
00
10
01
00
00
11
01
00
11
10
01
10
01
00
01
00
10
10
00
11
01
00
10
00
11
10
00
10
10
11
10
01
00
10
10
10
01
00
10
01
10
11
00
10
11
11
01
00
01
10
00
11
10
01
11
01
00
11
01
00
10
11
11
01
00
10
00
00
01
10
11
10
10
10
00
01
01
00
10
01
00
11
10
10
10
01
00
00
10
00
10
01
00
10
00
10
11
10
00
01
10
01
00
00
10
10
10
10
10
00
00
10
00
00
10
10
10
11
10
10
00
10
10
11
00
00
00
01
10
01
01
11
11
00
00
10
11
11
00
01
11
10
01
00
10
10
10
00
00
00
00
00
11
10
00
10
00
01
00
01
11
11
10
00
10
10
10
01
10
10
10
11
01
01
01
10
00
11
00
01
00
01
10
10
00
10
01
01
10
11
10
01
11
00
10
11
11
00
00
01
10
10
01
10
11
00
00
11
10
00
00
10
10
00
00
01
00
11
11
10
00
10
11
10
11
00
00
00
10
00
00
10
10
00
00
11
10
11
10
00
11
00
10
10
00
00
00
01
11
01
00
00
10
11
00
00
10
11
01
10
00
11
01
11
00
10
00
01
00
00
10
00
00
10
00
10
10
10
00
00
10
00
10
10
00
10
01
10
00
10
01
00
00
00
00
10
10
11
00
11
01
10
00
00
01
00
11
10
00
10
10
11
10
10
10
00
00
10
11
00
11
10
11
00
01
01
10
11
11
00
11
01
00
11
00
11
10
10
00
00
10
00
00
10
10
00
11
01
01
00
10
10
11
10
01
10
01
00
00
10
11
10
10
11
01
10
01
10
10
10
01
00
01
11
10
10
00
10
00
10
10
00
10
10
00
01
10
10
10
00
00
01
01
00
11
11
00
11
00
00
11
10
10
00
10
11
00
01
10
00
00
10
10
10
01
01
01
01
10
00
00
11
10
11
00
00
00
00
01
10
01
11
10
00
00
01
01
10
10
00
00
11
11
00
11
11
00
10
11
10
11
00
10
10
00
00
01
00
10
00
11
00
00
00
10
10
01
10
01
01
10
00
01
10
10
00
01
00
00
00
00
01
10
00
11
10
10
01
11
01
10
11
00
01
11
00
11
10
10
00
00
00
01
10
00
00
10
10
11
10
10
11
10
11
00
10
00
00
10
10
01
01
10
00
11
00
11
10
01
10
01
10
00
10
01
00
10
01
00
00
10
00
10
00
01
10
10
00
01
10
00
00
10
11
10
10
00
00
00
00
00
10
10
00
10
00
00
10
10
00
00
00
10
11
00
11
10
00
00
00
10
11
00
10
10
11
00
10
01
10
00
10
01
00
01
00
10
00
00
00
11
00
00
10
00
01
11
11
00
00
10
01
00
01
10
11
01
10
00
01
10
11
01
00
11
00
00
00
00
11
10
11
00
00
10
10
00
01
00
01
10
00
00
11
00
01
00
11
10
01
00
00
10
10
00
10
10
00
01
10
00
00
00
11
00
10
10
00
10
11
00
00
00
10
11
00
00
11
00
11
10
00
00
00
00
10
00
00
10
10
01
00
11
10
00
00
01
11
11
00
11
10
10
01
01
10
10
10
00
00
01
11
01
00
11
11
10
00
10
11
00
10
00
01
01
00
11
10
00
11
10
00
00
10
10
10
00
00
00
00
10
01
11
11
11
00
11
00
10
10
01
11
10
10
00
00
00
10
10
01
11
11
00
00
00
00
00
00
11
10
00
10
00
00
11
01
10
11
10
11
00
10
10
00
10
00
00
10
11
00
00
11
10
01
11
11
00
01
00
11
10
11
01
11
00
01
11
00
10
10
00
00
11
00
11
11
00
10
11
11
11
00
00
00
11
11
01
01
11
10
00
00
11
01
00
10
10
10
11
10
00
01
00
10
11
10
01
00
00
10
00
00
11
11
00
01
00
11
11
01
10
00
11
10
10
10
00
10
10
11
10
00
11
10
00
10
10
01
00
01
10
10
11
10
10
11
00
10
11
10
01
11
01
10
00
01
00
00
00
11
11
10
01
00
11
00
00
00
10
01
00
00
10
01
11
10
10
11
11
11
10
00
00
10
01
00
10
01
00
11
00
00
10
10
10
10
00
00
00
10
00
10
11
11
11
10
10
10
01
01
10
10
00
10
11
00
00
00
10
10
11
10
00
10
00
11
10
01
11
11
01
01
00
01
10
10
01
00
10
10
01
10
00
00
00
11
00
01
00
10
10
10
10
00
00
10
10
10
01
00
01
00
10
10
10
00
00
00
10
10
00
00
00
10
01
10
10
01
00
00
00
10
11
01
10
10
10
01
00
00
00
11
01
01
11
01
10
00
10
10
00
00
10
11
00
00
01
10
00
10
00
01
00
11
11
01
10
11
10
10
10
00
00
01
11
01
00
10
01
10
00
00
11
11
11
01
10
10
11
01
00
00
10
11
11
01
00
11
00
00
00
11
11
00
01
10
10
11
01
10
11
00
00
10
10
01
00
10
10
00
00
10
01
01
11
10
00
00
11
11
00
10
10
00
00
01
00
11
10
00
00
00
01
00
10
10
11
01
01
00
01
11
10
00
01
01
00
10
10
01
00
11
11
01
00
11
01
00
10
11
10
00
01
00
10
10
00
10
00
10
10
00
01
10
00
11
00
10
01
00
00
10
00
00
10
11
00
01
10
00
10
10
10
00
10
11
10
10
00
01
01
10
10
00
00
10
11
01
10
10
00
11
00
00
00
00
10
10
01
10
00
11
00
00
11
11
10
00
10
01
01
10
00
11
01
10
10
00
10
11
00
00
10
11
01
00
10
10
11
00
00
00
00
10
10
00
00
10
00
10
00
10
10
00
00
00
01
10
01
10
01
01
00
10
10
00
00
10
00
11
10
10
01
00
10
11
00
11
11
00
00
00
00
01
00
10
10
10
10
01
10
00
01
11
01
10
00
01
00
10
10
00
00
10
00
10
10
01
00
00
00
00
10
11
00
00
00
11
11
11
11
00
00
10
11
00
00
11
11
01
00
01
10
01
10
11
00
00
10
01
10
00
01
00
11
10
11
10
10
00
10
01
00
00
11
11
00
10
10
00
00
01
11
11
10
01
11
00
11
10
10
00
10
10
00
01
10
10
00
11
11
01
11
10
00
00
00
00
10
10
10
10
01
00
10
01
00
00
10
00
10
00
01
10
11
01
01
01
11
01
10
00
10
10
01
01
00
10
10
10
00
00
00
11
11
01
11
11
10
10
10
00
10
10
00
00
10
10
10
11
10
01
10
00
00
10
00
10
00
00
00
01
10
01
10
01
01
01
01
10
01
11
00
01
11
11
00
00
00
10
11
01
01
01
01
10
10
00
01
11
11
00
01
10
11
10
11
10
01
11
00
10
10
11
01
00
01
00
01
01
00
10
11
10
00
11
10
11
01
10
00
10
01
11
10
01
11
01
00
10
11
10
00
00
00
11
11
10
00
10
11
00
00
10
10
10
01
11
11
01
10
10
10
10
01
00
11
10
11
00
01
10
00
10
10
10
00
00
01
01
10
01
10
01
00
00
10
10
00
10
10
00
00
00
10
10
00
11
10
11
01
11
01
00
10
10
01
00
10
10
11
00
10
10
00
11
00
10
10
00
00
00
01
01
10
10
00
00
10
11
10
01
10
00
00
10
10
11
00
11
10
01
10
00
01
10
11
01
01
11
10
00
01
10
11
00
00
11
10
01
10
10
00
11
10
11
00
01
11
10
11
00
00
10
10
00
00
10
11
10
11
01
11
11
01
01
00
01
11
11
01
01
10
11
11
11
00
00
00
10
10
00
11
11
00
00
10
00
01
10
10
00
10
00
10
10
00
11
10
01
10
01
11
11
10
00
00
11
00
00
00
11
11
10
01
00
00
00
11
10
11
00
00
10
00
00
10
00
01
01
00
00
11
10
01
10
10
10
10
01
00
01
10
10
00
01
10
10
01
00
11
11
00
00
00
10
10
00
00
10
00
00
10
00
00
00
11
00
00
00
11
10
00
11
00
11
01
10
00
01
10
00
10
10
10
10
10
01
00
00
10
11
10
11
10
00
11
00
00
10
10
00
00
00
10
01
11
00
00
00
10
10
01
01
00
01
11
00
01
00
10
00
11
11
10
11
10
10
10
00
00
00
10
10
10
10
00
00
11
10
11
10
00
00
00
10
10
10
01
10
00
11
10
00
11
10
01
00
10
10
10
00
10
00
11
01
00
11
10
11
01
00
00
11
10
00
10
01
11
01
10
01
01
00
10
01
01
11
10
00
10
10
11
00
11
11
10
00
00
10
10
00
01
10
11
00
11
00
10
10
00
10
00
11
11
00
01
01
00
01
11
10
00
10
10
00
10
00
00
10
01
01
10
10
00
11
11
11
10
00
01
10
00
10
11
01
00
00
00
10
00
00
10
10
00
11
00
10
00
10
01
10
01
01
10
00
10
10
00
00
10
10
10
01
10
10
00
10
10
00
01
10
00
01
01
00
00
01
00
10
01
10
11
01
10
11
01
11
01
01
10
00
00
00
10
00
00
10
11
00
10
10
00
00
11
10
00
00
11
10
10
01
11
01
01
00
11
11
01
10
11
01
00
11
00
00
10
11
00
01
10
10
10
01
10
10
00
00
00
00
01
10
01
00
00
00
11
10
01
00
10
00
10
00
10
11
11
00
00
10
00
10
00
11
11
01
11
01
00
01
00
11
11
01
01
10
10
10
00
00
10
11
10
00
00
00
10
00
11
11
00
10
10
01
10
00
00
11
00
00
10
01
10
01
11
10
01
00
00
01
10
10
11
00
10
10
00
11
11
00
11
10
11
00
10
00
00
00
10
11
00
00
00
00
00
11
10
10
10
01
01
01
11
01
11
10
00
11
11
00
00
00
00
00
11
10
10
10
10
00
10
10
00
00
00
10
00
10
10
11
11
00
10
10
00
00
01
10
00
01
11
10
00
00
00
10
10
11
01
10
00
10
00
11
00
11
10
01
00
01
00
01
11
11
10
00
11
11
11
00
01
10
10
00
10
11
11
10
01
11
11
00
00
00
00
00
11
00
10
00
00
10
00
01
11
11
01
10
11
00
00
10
00
00
00
00
10
10
10
10
01
00
10
10
01
01
00
10
10
11
11
00
01
00
11
00
10
00
10
10
01
11
00
00
10
00
10
00
10
01
01
00
10
10
10
11
10
01
00
11
10
11
00
10
11
10
10
00
10
01
11
01
11
10
00
10
11
10
10
00
01
00
10
10
11
00
01
00
10
00
10
10
10
10
00
00
10
11
00
00
00
10
01
10
10
01
00
01
00
00
00
10
10
01
00
00
01
00
01
00
10
10
10
00
11
11
11
01
10
00
10
11
01
10
10
10
10
01
10
00
00
10
10
01
11
01
00
00
00
10
10
11
00
11
00
10
10
11
10
01
10
00
00
10
11
10
01
10
01
10
10
10
00
11
00
00
10
01
10
10
01
01
00
10
10
11
00
00
10
10
01
00
01
00
10
11
00
01
10
00
00
11
10
00
00
11
10
01
10
11
01
01
00
10
10
01
10
00
00
10
01
00
10
10
01
10
10
10
10
10
00
00
11
00
01
01
00
11
11
11
01
10
11
10
10
01
00
10
10
00
01
10
10
00
01
00
11
10
10
00
00
10
01
00
00
10
10
10
00
10
01
00
11
10
11
01
01
10
00
01
10
01
11
00
00
01
00
11
00
01
10
10
01
10
00
01
10
10
10
10
00
00
11
00
00
00
11
11
00
00
10
11
10
11
00
10
10
00
00
01
00
10
00
11
10
10
10
00
01
10
01
10
01
10
11
10
01
11
10
01
01
11
10
11
00
00
00
10
00
10
10
00
11
10
00
11
11
00
10
11
10
00
00
00
11
01
10
10
00
11
00
01
10
11
01
10
10
00
01
10
11
10
00
10
11
00
00
00
01
00
00
11
10
11
01
00
01
10
10
10
00
00
10
01
00
00
01
10
01
00
11
01
00
11
10
10
10
00
01
10
00
00
10
00
00
11
00
10
10
10
10
00
01
00
00
11
10
10
10
01
01
00
10
10
01
00
10
11
00
00
10
01
10
10
01
00
10
00
11
00
10
01
11
10
01
11
00
00
10
00
00
10
10
10
00
01
11
01
00
01
10
10
01
10
00
00
00
10
00
10
10
00
10
10
00
10
01
11
00
01
11
10
00
00
11
11
11
01
10
01
01
00
01
00
10
10
00
00
10
11
00
11
11
00
10
00
10
10
10
00
00
01
11
10
00
00
10
10
00
11
00
00
11
11
00
10
11
00
00
10
00
00
11
00
11
00
11
10
10
10
01
00
10
11
00
01
01
10
10
10
01
00
10
00
11
11
00
10
11
00
01
10
00
10
10
01
01
00
11
10
10
01
11
11
01
00
10
00
00
00
10
11
10
10
10
10
01
00
10
10
00
00
11
10
10
00
11
11
10
10
00
01
01
11
10
00
01
01
00
00
10
10
10
11
00
00
01
10
10
01
11
10
10
10
10
10
01
01
10
00
11
01
10
00
00
00
00
10
11
01
00
10
10
00
00
10
11
00
01
10
01
10
10
01
00
11
10
10
00
01
00
10
10
00
00
00
10
00
11
10
11
00
10
01
00
10
10
11
00
01
11
10
10
10
11
00
10
01
01
00
01
10
00
10
10
10
10
10
00
01
10
11
10
00
00
01
10
11
00
01
01
10
01
00
00
11
10
01
11
00
00
10
10
10
00
00
10
00
00
10
11
01
00
00
10
00
00
10
00
00
10
00
10
10
10
10
01
00
10
10
01
10
01
00
01
10
10
10
01
00
01
00
00
00
00
00
10
11
11
00
10
00
01
10
11
10
00
00
11
10
00
10
11
00
00
10
10
11
00
00
10
10
10
00
01
10
01
11
10
00
00
00
00
10
10
10
00
01
01
10
11
00
10
00
01
11
00
10
10
10
10
01
10
11
10
00
01
00
00
00
10
10
01
00
00
11
01
01
10
01
10
11
11
01
01
10
01
00
11
11
01
10
10
00
00
00
01
10
10
11
01
01
11
00
10
00
00
10
10
00
00
00
00
10
11
10
11
00
10
10
11
01
10
10
01
10
00
00
10
10
00
01
00
10
11
11
00
10
11
00
10
11
01
10
00
10
01
10
01
01
11
10
00
10
10
01
00
00
11
10
11
00
00
10
11
01
01
00
11
10
00
00
10
00
10
00
10
10
00
10
10
01
00
10
10
01
10
10
10
01
00
01
10
10
00
10
01
00
11
11
11
01
10
10
00
00
01
10
11
00
11
10
10
11
10
10
00
11
10
00
01
00
00
00
10
00
11
00
10
10
01
10
01
10
11
00
01
00
01
11
10
00
00
00
11
00
10
00
11
11
00
11
01
10
10
00
11
00
01
10
00
00
11
11
10
11
01
01
00
00
11
01
01
10
00
10
10
00
00
00
10
10
10
01
11
11
00
01
01
10
00
11
00
00
01
10
10
01
01
11
01
00
11
10
00
10
10
10
10
00
00
01
10
01
00
00
00
00
10
10
00
00
01
00
01
10
00
01
00
01
10
01
10
11
00
10
00
00
10
10
01
01
10
10
10
01
10
10
00
11
10
00
10
01
01
00
10
10
00
01
01
10
11
01
10
10
00
00
10
01
00
10
10
01
10
11
11
01
10
00
00
01
10
10
00
10
11
10
01
10
00
10
01
01
11
10
00
00
10
11
11
10
00
10
00
00
10
00
00
00
10
00
10
00
00
00
10
00
00
00
10
10
01
00
11
10
01
00
10
11
11
10
00
00
00
11
00
11
10
00
10
00
00
10
10
00
11
11
01
01
11
10
00
10
11
10
01
00
10
11
10
01
00
10
11
00
10
00
00
10
10
10
01
10
01
01
01
00
00
11
10
10
10
10
00
01
01
01
00
11
10
10
11
01
10
10
01
00
10
00
11
11
10
11
01
10
10
01
00
00
11
10
10
10
00
00
11
10
01
00
00
11
00
10
11
10
10
00
00
10
10
00
11
00
01
00
10
10
01
01
00
10
10
11
10
01
10
00
01
00
00
00
10
11
10
10
00
10
01
00
00
10
10
01
10
10
10
10
00
01
01
11
00
11
00
10
00
00
10
10
00
00
00
00
01
11
01
01
00
10
01
11
10
10
00
10
01
10
10
00
10
10
00
00
00
10
01
00
01
00
11
00
11
00
01
01
11
00
01
01
11
10
00
01
00
01
11
10
00
10
01
01
11
10
10
00
00
00
00
00
10
10
00
10
10
00
01
00
01
10
01
01
10
10
00
10
11
11
00
01
10
10
10
00
00
10
10
01
00
10
10
11
10
11
01
10
01
00
01
00
10
10
10
11
00
01
10
00
01
11
00
01
11
00
00
11
10
10
00
01
00
10
10
10
10
01
01
00
00
10
11
10
10
00
11
00
11
00
00
10
00
10
10
00
01
00
01
00
00
00
00
11
10
10
01
00
10
00
01
10
01
01
11
00
00
11
10
10
10
00
01
00
11
10
11
11
10
11
00
00
10
00
00
10
10
01
00
10
10
01
10
10
00
10
10
11
01
01
01
01
11
11
01
01
11
10
00
00
00
10
11
01
00
11
10
11
10
10
10
01
10
10
10
00
00
01
00
00
01
00
11
00
10
11
00
00
01
00
11
00
10
01
10
10
00
10
00
10
10
01
10
10
00
00
10
10
10
01
01
00
11
10
11
01
01
00
10
10
00
11
00
10
11
10
10
10
01
00
00
10
11
01
01
11
10
11
10
10
00
00
10
10
10
10
10
00
10
10
00
00
00
00
01
10
01
11
10
10
00
11
00
10
10
01
10
00
00
11
10
11
00
00
10
10
01
00
10
10
11
01
00
10
00
11
11
00
10
10
01
10
00
00
10
11
10
10
10
10
10
01
10
01
00
00
00
00
00
01
10
10
10
10
10
00
01
00
01
10
11
01
00
11
10
00
10
01
00
01
00
11
00
01
10
00
10
11
00
10
11
00
00
10
10
01
01
10
00
10
00
11
00
11
10
00
10
10
00
01
00
01
00
10
11
11
10
00
00
10
00
01
00
01
01
00
10
01
10
11
10
10
00
01
10
00
10
10
11
11
01
11
10
00
00
00
10
10
00
01
11
11
01
00
11
10
00
01
10
10
00
01
00
10
10
00
11
01
11
10
00
00
11
01
00
00
10
11
00
01
10
11
00
11
00
01
11
11
01
01
01
11
10
00
00
11
10
11
00
00
11
01
00
00
01
10
00
10
00
01
11
11
10
00
10
10
00
00
01
10
00
10
00
10
01
00
11
00
00
11
01
11
10
00
00
10
01
01
00
10
00
11
11
00
10
00
00
00
00
10
10
00
10
00
10
11
00
10
00
10
00
01
01
00
10
00
00
11
10
10
10
11
00
00
00
00
00
11
01
00
11
10
10
11
01
01
11
00
00
11
00
00
01
01
11
00
00
11
10
01
00
10
10
00
11
00
10
11
00
00
00
00
11
10
10
10
10
11
00
00
00
01
11
10
10
11
10
00
00
00
10
11
00
01
01
11
10
10
10
10
00
00
10
11
01
00
11
10
00
10
00
00
10
00
00
10
01
00
01
10
11
00
10
10
10
10
01
00
10
01
01
11
10
00
00
00
00
00
11
10
00
00
11
10
01
00
11
10
10
10
00
10
10
10
00
00
10
10
11
10
10
10
10
10
01
11
11
11
01
00
01
10
01
01
10
10
00
01
00
00
11
11
00
00
00
10
11
01
00
00
10
10
01
00
11
10
10
00
11
00
01
00
11
10
00
00
01
10
11
10
10
00
00
00
00
10
00
10
00
00
01
10
10
11
00
00
10
10
10
00
00
10
10
11
11
00
00
00
11
00
00
10
10
00
01
00
11
01
10
10
01
10
10
11
00
10
10
00
10
10
01
00
00
10
01
10
10
11
00
01
10
00
11
00
01
11
00
00
11
10
00
00
11
10
00
10
10
10
00
01
10
01
11
01
11
01
00
00
00
01
00
11
10
00
00
11
11
10
00
00
00
10
00
10
10
10
01
10
00
00
00
00
01
10
10
10
00
10
11
10
01
01
00
11
10
10
11
10
00
01
10
11
00
00
00
00
11
10
00
00
00
10
11
00
10
00
01
01
00
10
00
01
00
01
10
00
11
11
00
00
10
10
11
00
01
00
00
10
11
10
00
00
10
11
00
01
10
11
10
00
10
10
10
00
10
11
00
10
00
00
00
11
10
00
00
10
00
00
10
10
01
10
01
10
10
11
10
01
00
10
01
00
01
10
10
00
10
10
10
10
00
11
11
00
01
10
10
11
00
01
01
10
10
10
00
00
01
10
00
00
10
10
10
00
00
10
10
10
10
00
10
00
11
11
00
01
00
10
11
00
00
10
00
00
00
10
11
10
01
11
10
10
00
01
00
11
00
11
00
11
10
00
11
00
10
10
00
01
11
00
10
10
01
00
00
10
10
10
10
10
00
10
01
11
01
00
11
10
00
01
10
11
00
10
10
01
01
00
11
10
01
00
11
01
10
00
11
11
01
10
10
00
10
00
00
00
11
10
01
00
10
10
00
00
11
11
01
01
11
11
10
00
01
10
00
01
11
10
00
10
10
10
10
00
01
10
11
10
00
11
10
11
00
10
10
00
00
11
00
00
10
01
00
10
10
01
10
10
10
00
00
10
10
01
00
00
10
01
00
00
10
11
00
11
10
00
01
00
01
00
10
10
01
00
11
10
01
10
00
11
11
10
10
10
00
01
00
01
10
11
00
00
00
00
11
10
10
01
10
10
11
10
00
00
00
10
11
00
01
00
11
11
11
00
11
10
01
01
11
11
00
10
11
10
00
01
00
00
00
11
11
00
10
10
10
11
01
11
10
10
11
01
11
01
10
10
00
01
10
00
01
10
00
10
11
10
01
10
10
00
00
11
11
01
11
10
00
00
01
11
10
00
01
00
10
10
01
01
00
10
11
10
00
10
10
10
00
01
01
00
00
01
10
10
00
00
10
00
10
10
01
00
11
10
10
00
00
01
10
10
00
01
10
10
10
10
10
11
00
01
00
00
10
01
00
01
00
00
01
10
00
10
01
01
00
10
10
01
00
10
11
01
01
10
10
10
00
00
00
11
00
00
01
00
10
00
01
11
00
01
00
01
10
10
01
10
11
10
10
01
10
10
00
01
00
11
00
11
01
00
10
11
11
01
10
01
10
00
11
10
10
00
00
11
10
00
10
00
00
00
01
10
11
00
01
00
00
10
10
11
10
11
00
00
11
00
01
11
10
11
00
00
00
00
00
10
11
01
00
11
10
11
00
10
00
00
11
10
01
00
00
10
00
01
00
10
11
11
10
00
01
10
11
10
00
00
10
10
00
10
11
00
10
00
00
11
10
11
00
10
10
00
00
10
10
01
00
10
00
10
11
00
11
10
00
00
10
10
01
10
11
00
00
10
01
10
10
11
10
11
00
00
00
11
00
00
10
11
11
00
11
00
01
00
11
00
11
10
00
00
10
01
10
00
00
00
11
00
11
00
00
00
10
10
01
10
10
10
00
01
01
10
11
01
01
10
00
00
10
00
00
00
11
10
00
10
01
11
00
11
01
01
01
10
11
00
00
10
10
01
01
10
10
01
10
00
00
10
00
10
10
10
01
00
10
11
11
00
01
10
00
00
00
01
00
10
10
10
11
00
00
10
11
00
01
11
00
10
00
00
11
11
11
10
00
00
00
10
00
11
00
10
10
10
00
11
00
01
00
10
00
10
01
01
11
11
11
11
01
10
00
00
10
00
01
10
11
10
00
11
10
00
01
10
11
10
10
00
00
10
11
11
00
01
11
11
00
10
00
01
10
10
10
11
10
11
10
00
10
10
00
11
11
00
01
01
00
01
11
10
00
01
10
01
11
11
10
00
11
00
11
10
10
00
00
00
10
11
01
10
10
00
00
10
00
00
10
01
01
00
10
00
00
11
00
10
10
00
00
10
01
11
10
10
00
10
11
00
10
10
01
10
10
00
10
00
00
11
10
00
00
00
00
01
10
10
00
01
00
10
00
00
10
11
10
01
00
01
10
11
10
00
00
11
00
10
10
00
10
10
11
00
01
00
10
11
00
00
11
11
10
10
00
10
01
10
00
00
10
00
00
11
00
01
10
00
11
10
00
10
10
01
10
10
10
00
00
01
10
00
11
10
11
11
11
10
11
10
01
10
10
01
01
00
11
00
01
10
01
10
10
00
00
10
10
11
00
10
01
10
00
10
00
00
10
00
00
10
11
00
10
10
01
10
00
10
11
10
10
11
00
11
01
11
10
11
10
00
10
11
10
10
10
11
10
11
00
00
00
00
00
00
10
10
10
01
10
11
01
00
10
01
00
01
01
10
11
10
10
10
00
00
01
01
10
01
00
11
10
10
00
01
10
10
00
00
00
00
00
11
11
10
01
00
01
00
10
01
10
10
00
10
10
10
10
11
00
11
11
10
10
10
01
00
00
10
00
10
10
00
01
10
10
10
00
10
00
10
01
10
11
10
11
00
01
10
10
00
00
00
11
10
00
10
11
01
11
10
00
00
10
11
10
10
00
01
01
11
00
10
11
01
11
01
00
10
10
10
11
00
11
11
11
01
10
10
01
00
01
00
11
10
11
00
00
10
11
10
00
01
01
00
10
11
10
01
10
10
00
11
00
01
01
10
10
00
10
11
10
00
01
11
00
00
00
00
10
10
00
00
10
10
00
00
00
11
11
10
11
11
10
00
01
10
11
00
01
00
01
00
11
11
00
10
10
00
01
10
10
10
10
01
00
01
10
11
00
11
01
01
11
10
11
00
01
10
11
00
01
01
10
01
00
00
11
01
00
11
10
00
11
10
01
01
11
01
11
10
00
01
10
10
00
00
10
10
00
10
01
10
10
01
10
01
10
10
10
00
00
00
10
10
01
11
11
00
10
10
01
11
10
00
00
01
01
10
10
00
01
01
00
10
10
00
00
00
01
10
10
10
10
10
01
00
01
10
10
10
10
10
00
00
10
10
10
10
10
00
00
11
10
01
01
00
10
01
01
11
11
10
10
00
10
10
00
10
00
10
10
01
00
10
01
10
10
10
10
01
01
10
11
00
10
01
11
01
01
00
11
00
00
10
10
00
00
01
10
00
10
11
00
10
00
01
10
10
10
01
00
01
00
10
10
00
11
10
10
00
10
11
10
10
00
00
10
10
00
01
11
10
10
10
10
01
10
10
01
10
00
10
00
00
01
10
01
01
00
00
00
10
00
11
11
00
10
10
00
10
11
10
00
10
00
01
10
00
00
11
00
11
10
00
10
10
00
01
11
10
10
10
11
01
11
10
00
11
00
00
11
11
01
11
00
01
00
10
00
00
11
00
11
10
11
01
00
10
10
11
00
11
10
00
10
00
11
10
10
10
00
10
01
00
00
11
00
10
10
00
00
00
10
10
10
00
00
00
00
10
11
10
00
01
10
00
00
11
10
10
00
00
11
11
10
10
10
11
10
01
10
00
00
01
00
10
01
11
10
00
11
10
10
10
10
00
11
00
01
00
10
00
10
10
10
01
00
00
01
11
01
00
10
10
00
10
10
00
00
00
10
10
10
00
01
11
11
10
00
10
00
01
01
00
00
10
10
00
00
10
11
10
10
10
00
01
00
10
11
11
00
10
01
01
00
11
10
01
10
11
00
00
11
00
01
10
00
00
00
01
00
01
10
10
00
00
10
11
10
00
00
01
11
11
10
00
00
10
10
01
10
10
11
00
10
11
01
10
00
00
00
01
11
01
00
00
11
11
10
11
01
10
00
00
10
01
00
11
01
11
01
10
00
11
11
11
10
00
00
10
10
00
00
10
01
01
00
01
01
11
00
00
00
00
01
10
10
00
00
00
00
11
00
10
10
10
01
00
00
10
11
10
11
10
11
00
01
00
10
00
00
10
10
00
01
11
01
10
11
10
10
01
00
10
01
01
11
01
10
01
11
10
00
10
10
00
01
10
00
11
10
10
11
10
00
00
10
10
00
10
11
10
10
00
11
00
00
01
00
10
00
00
11
00
01
11
11
11
00
10
10
00
00
10
00
00
10
10
00
10
10
10
00
00
10
00
01
10
01
10
00
10
00
10
10
00
01
11
01
01
10
00
00
00
10
10
00
01
10
10
11
10
00
00
11
00
00
11
00
01
10
00
10
00
10
00
11
10
01
01
10
11
11
10
00
10
01
11
11
00
00
00
10
10
01
10
11
00
10
01
10
00
01
01
11
00
00
00
11
10
00
11
10
01
10
11
00
10
11
11
10
10
10
11
10
11
00
00
10
10
10
00
10
10
01
00
10
00
10
10
00
00
10
10
00
10
11
10
01
00
10
10
10
11
01
01
00
01
10
00
00
01
00
10
00
00
10
01
10
10
01
01
01
01
11
01
11
10
00
10
00
01
10
11
00
01
00
00
11
00
01
10
00
00
11
10
10
00
00
10
11
00
01
00
00
10
11
10
10
10
11
10
11
01
00
01
01
10
10
00
00
10
01
01
10
11
00
00
10
00
10
00
01
11
11
10
10
11
11
01
01
00
11
11
10
01
11
10
01
11
11
00
01
10
01
00
00
10
10
01
10
11
11
11
10
00
00
01
01
11
10
00
00
11
10
01
11
10
10
01
10
10
10
00
00
11
01
10
00
10
10
10
10
00
10
10
00
00
01
00
11
11
11
00
10
10
11
10
00
01
10
00
00
00
11
10
00
00
11
00
01
10
00
01
11
00
11
00
01
01
10
01
10
11
00
10
11
00
01
10
11
01
00
01
10
10
10
00
00
10
11
01
00
00
10
10
00
10
10
00
01
00
11
00
00
00
11
10
01
11
10
00
00
01
10
00
00
00
10
10
01
01
01
11
00
00
10
00
00
10
10
10
10
00
00
10
00
10
01
00
00
11
00
11
10
01
00
00
10
10
10
00
10
11
00
00
01
11
10
00
01
10
00
00
10
00
10
00
10
00
11
11
00
10
11
11
11
10
01
11
00
10
10
00
00
10
10
00
00
10
10
10
10
00
00
11
11
01
00
10
01
10
10
01
01
10
01
10
11
10
00
10
11
00
01
11
11
11
01
00
10
10
01
00
10
11
00
10
00
00
10
10
10
10
11
00
00
01
11
11
10
00
00
00
10
11
10
10
10
10
00
00
00
00
11
11
10
10
11
10
00
10
10
00
10
11
01
01
10
00
10
01
10
11
01
01
01
10
10
00
01
11
10
00
00
10
00
00
10
11
11
00
10
00
10
11
00
11
00
00
10
00
01
10
11
00
10
00
10
10
01
00
10
01
10
10
01
01
10
01
11
00
10
11
10
11
00
00
01
11
00
00
11
11
01
00
10
10
01
10
01
10
10
10
01
00
10
00
00
10
10
00
00
11
10
00
01
01
01
10
11
10
11
00
10
10
00
00
10
01
01
01
10
10
10
00
01
10
11
01
00
11
00
10
11
00
00
10
00
00
11
00
10
10
00
10
01
11
00
00
01
00
11
00
11
10
01
11
00
01
11
11
11
11
01
00
00
10
11
00
01
01
11
00
00
01
01
00
01
10
11
00
00
10
00
01
10
11
01
00
00
10
00
00
10
11
10
00
00
00
00
00
10
10
01
10
10
10
00
00
00
01
10
11
00
00
10
00
10
00
00
10
01
00
01
01
00
10
10
11
00
11
10
00
01
10
10
01
00
10
00
00
10
00
10
10
00
01
10
11
00
00
10
00
11
10
11
01
01
10
10
00
00
10
10
00
00
00
00
11
10
00
11
10
01
00
00
00
00
00
00
00
10
10
10
10
11
10
10
01
00
10
10
01
01
00
01
10
11
10
01
00
00
11
10
00
01
10
10
10
01
11
11
00
00
01
10
10
00
00
10
10
10
00
00
10
10
10
11
00
10
01
00
10
10
11
00
10
00
00
10
10
00
00
10
11
10
11
11
01
10
01
00
11
00
01
00
10
10
00
00
11
11
00
00
11
10
01
00
01
00
11
10
10
00
10
00
01
00
10
00
10
11
00
10
00
11
00
10
00
00
10
10
11
11
10
00
00
01
00
10
10
01
00
10
11
00
10
00
01
11
00
01
10
00
10
10
00
10
10
00
01
10
11
10
01
10
00
00
11
01
00
00
11
00
00
10
11
00
00
00
00
10
00
11
11
10
10
10
00
01
10
10
10
01
00
10
00
11
00
01
10
10
10
01
10
11
00
01
10
00
00
00
00
11
00
00
11
10
10
01
00
10
10
00
00
00
10
11
00
11
01
10
11
10
10
01
10
11
10
00
00
00
00
10
00
10
00
00
00
00
10
00
11
00
10
10
01
11
00
00
01
00
00
01
10
01
10
10
01
10
01
00
00
10
10
10
11
10
00
10
10
10
00
10
01
11
10
00
00
01
01
11
10
00
01
01
10
01
10
00
10
10
11
11
00
10
00
11
10
00
00
11
10
00
10
11
00
10
10
00
01
00
10
10
11
00
01
01
00
00
11
00
10
11
00
11
10
10
00
10
00
10
00
00
10
10
10
01
00
00
01
10
00
10
11
00
10
01
01
00
01
01
00
01
10
10
00
01
10
01
10
10
11
01
00
01
11
11
10
10
10
00
11
00
10
00
10
11
10
01
00
10
11
11
01
10
00
10
00
10
10
00
01
01
11
11
01
10
11
10
11
01
00
00
10
01
00
11
10
00
01
00
00
10
01
11
00
11
10
00
10
10
00
00
10
10
10
10
00
10
10
00
00
01
10
10
10
00
10
10
00
10
10
00
10
10
10
10
11
00
00
10
00
00
00
10
10
00
10
00
01
10
00
10
11
10
00
01
00
01
00
11
10
00
11
01
00
10
00
00
00
10
01
11
10
10
10
10
10
10
01
10
00
10
00
00
11
11
00
10
11
00
00
01
11
10
01
00
10
10
10
01
01
10
00
00
10
10
10
00
10
00
01
10
00
10
01
00
00
11
00
11
00
00
11
11
00
00
00
10
10
10
11
00
00
10
10
11
00
11
00
10
11
00
00
10
01
00
01
01
11
00
01
01
10
01
01
00
00
11
10
10
10
00
00
00
01
10
01
01
00
00
00
00
10
00
00
10
11
01
01
01
10
00
11
00
01
10
00
01
00
11
10
00
01
11
00
00
10
10
00
10
11
00
01
01
10
10
10
01
00
10
10
01
00
00
00
11
11
00
00
01
10
11
00
10
10
00
00
10
11
01
11
11
11
00
00
11
10
00
11
11
01
11
10
01
10
00
10
01
11
11
00
00
10
00
00
00
11
10
01
00
10
10
00
01
11
01
01
00
11
11
00
00
11
10
00
11
00
11
11
01
00
01
10
00
10
10
01
01
01
10
10
01
00
11
10
00
10
00
01
00
11
10
00
00
00
00
10
00
00
11
00
01
00
10
10
00
10
00
00
11
00
10
01
11
01
00
11
11
00
11
11
00
10
01
00
10
11
11
00
01
10
01
11
10
01
11
10
10
10
10
11
01
00
10
00
00
11
10
00
00
01
11
11
11
11
10
10
00
00
01
00
11
11
00
10
00
10
10
00
00
11
00
01
01
10
10
11
11
00
01
10
10
10
01
00
00
00
10
00
01
10
11
10
00
10
00
10
01
10
11
01
11
11
00
01
10
01
10
01
00
11
10
10
11
01
00
10
00
00
00
10
00
10
00
00
11
00
00
10
11
00
00
00
10
10
01
00
10
10
11
10
00
10
10
11
10
10
00
11
00
00
00
00
10
01
10
10
00
00
00
00
00
10
01
01
00
00
11
01
10
10
00
00
11
11
11
10
00
00
11
01
01
11
10
00
10
10
10
10
00
10
10
10
00
10
11
10
00
10
00
00
10
10
00
01
01
00
11
00
10
10
10
01
01
01
10
10
01
00
10
10
10
00
00
01
00
10
10
11
00
01
00
00
10
00
00
10
10
01
01
00
11
11
00
10
10
11
00
01
11
10
10
10
01
00
10
10
11
10
00
10
01
00
00
00
10
01
00
11
10
00
01
00
00
00
11
10
10
10
01
11
01
00
10
00
10
10
00
11
01
00
00
00
10
10
01
10
01
00
01
10
00
00
10
10
01
01
11
00
00
10
00
01
01
00
10
11
10
11
00
00
10
00
10
10
01
00
10
11
11
00
10
00
01
11
01
10
10
01
10
10
01
00
10
10
00
01
10
01
10
10
01
10
00
00
11
10
00
00
10
10
10
10
00
10
10
01
00
00
10
11
01
10
11
00
01
00
00
01
00
11
00
00
10
10
00
11
10
00
00
10
10
00
10
11
00
00
00
10
10
11
10
00
10
01
10
11
01
11
00
01
00
10
00
00
11
01
00
00
00
10
10
00
00
01
10
10
11
10
00
00
10
01
11
10
01
11
00
00
00
10
11
00
00
01
01
10
00
00
10
10
00
01
00
00
00
10
10
11
10
00
10
00
10
10
10
00
11
01
01
10
10
10
00
01
01
01
10
11
01
10
11
10
10
01
10
00
01
00
11
00
00
10
00
00
00
10
10
11
00
00
10
11
11
10
10
10
10
10
10
00
10
10
00
11
10
11
10
01
10
11
11
01
00
10
01
00
11
10
11
00
10
10
00
11
10
10
01
11
01
11
01
00
00
01
10
10
00
00
10
10
10
10
00
11
10
00
11
00
11
00
01
10
00
10
10
00
01
00
10
11
00
10
10
00
00
01
10
10
00
00
10
01
00
10
10
00
00
00
01
00
01
10
11
00
01
01
00
01
10
00
10
10
00
10
10
00
11
11
10
10
00
10
00
11
10
10
10
00
10
01
00
11
00
01
00
01
10
10
00
00
10
10
00
01
00
10
11
01
01
10
01
10
01
10
00
10
11
01
01
00
10
00
10
11
00
00
01
00
10
00
00
10
01
10
00
00
10
10
11
10
11
00
10
10
10
11
01
01
01
01
00
01
00
01
11
01
10
10
00
11
11
10
00
01
00
00
10
00
00
01
00
11
11
01
00
10
01
11
10
00
00
10
01
10
11
01
00
00
10
10
01
10
10
10
00
10
10
00
01
00
01
10
10
00
10
01
00
10
10
10
10
11
10
00
00
00
10
10
00
11
01
01
00
10
10
00
10
00
10
00
00
00
10
00
00
11
10
01
01
11
11
11
10
01
11
11
00
00
10
11
00
00
00
10
10
00
00
10
10
11
00
00
11
01
01
01
11
00
00
00
10
11
11
10
00
00
00
11
01
00
01
10
10
00
00
10
11
00
00
11
01
10
01
00
11
00
00
10
10
01
11
01
01
00
00
00
11
10
00
01
00
10
00
00
00
00
00
10
10
00
10
00
11
01
10
01
11
10
01
11
00
10
10
01
00
01
10
10
11
10
00
10
11
00
11
10
01
00
11
11
11
11
00
11
10
10
00
01
10
10
00
01
00
01
00
11
10
10
11
01
01
01
10
11
01
11
11
10
01
00
00
10
10
00
10
10
00
10
10
01
01
10
11
10
11
01
11
11
00
01
10
00
10
00
01
01
01
10
10
00
10
10
00
01
01
11
10
10
10
00
11
00
00
10
10
00
00
10
10
11
10
11
11
00
00
10
10
00
11
10
10
00
10
11
10
00
00
00
10
00
10
00
10
10
11
11
11
10
01
11
00
10
00
01
10
00
01
11
00
01
00
10
00
01
10
10
00
00
01
00
00
11
10
11
01
01
00
10
00
00
00
11
11
01
10
00
01
01
00
10
01
11
11
00
10
10
00
11
11
01
01
11
01
00
10
01
11
01
10
10
00
00
10
11
00
00
10
10
10
11
10
00
10
00
01
00
00
10
10
00
01
10
10
01
10
10
00
10
10
00
10
00
00
10
00
00
00
00
10
01
01
01
01
10
00
10
00
01
10
00
10
10
10
11
00
01
00
01
00
10
00
11
00
00
10
10
00
01
10
01
10
10
00
00
10
01
10
10
11
00
01
01
10
10
01
10
11
11
11
00
00
10
10
00
10
11
00
01
11
00
01
00
10
10
10
00
00
11
10
11
01
11
10
01
10
10
10
10
10
00
10
01
01
10
00
00
00
01
10
10
11
10
10
00
00
10
10
00
00
00
10
10
10
00
11
11
00
10
00
00
10
10
11
00
10
01
10
11
00
10
01
11
01
01
11
10
01
00
11
10
00
01
10
01
10
10
00
00
10
10
00
01
01
00
00
11
10
00
10
10
00
11
10
00
10
00
00
00
01
10
00
11
00
01
00
00
10
10
00
00
00
11
10
10
10
10
10
00
10
01
11
00
11
11
10
10
11
11
00
00
00
00
10
00
11
10
00
01
00
11
01
00
00
00
10
00
11
10
10
10
11
01
10
00
00
10
11
10
11
00
10
10
11
00
01
10
11
10
10
01
11
00
00
10
01
11
00
11
10
10
10
01
10
00
10
00
01
00
00
10
00
00
11
10
00
11
00
10
00
00
10
01
00
10
10
00
10
01
00
10
11
11
10
10
00
00
00
00
11
11
00
00
00
00
01
01
10
10
01
00
11
01
01
11
01
10
10
00
01
11
10
01
00
10
10
10
00
10
10
00
00
10
10
00
01
01
11
00
11
10
00
11
00
01
00
11
11
10
11
00
01
10
00
00
11
10
00
10
10
01
00
11
00
00
00
01
01
11
11
01
10
00
00
00
00
01
10
11
00
00
01
11
10
01
00
10
11
00
00
10
10
01
01
10
01
10
00
10
00
11
00
01
11
11
11
01
01
11
11
01
11
11
11
01
00
11
01
00
00
10
01
01
01
10
10
10
10
00
01
10
10
00
00
10
00
00
01
00
10
01
10
01
10
00
10
11
00
11
00
00
00
11
00
10
11
00
10
00
11
11
01
01
01
00
11
10
10
11
01
00
10
10
00
00
10
10
10
00
01
00
10
01
10
01
10
00
10
11
00
00
10
10
10
00
10
01
10
01
10
00
10
00
00
10
01
10
10
00
00
00
10
11
00
10
11
00
00
10
00
00
11
00
11
11
00
11
11
00
00
01
11
01
00
00
11
00
10
01
00
11
00
00
10
00
10
00
10
10
01
00
11
11
10
11
00
01
00
01
10
10
10
00
01
01
00
10
00
00
10
10
11
00
00
10
11
10
11
00
00
00
11
10
01
01
00
10
10
10
00
00
11
00
00
11
11
00
01
11
00
00
10
00
11
10
01
00
11
10
00
01
11
11
00
10
10
01
00
00
10
11
10
01
01
10
00
10
11
01
00
10
00
00
10
10
10
10
00
01
11
00
01
10
10
00
00
10
11
00
01
10
00
01
11
10
00
00
00
10
00
01
00
01
11
01
11
01
10
00
01
10
10
00
10
00
10
10
00
11
10
10
01
10
10
10
11
11
01
01
00
00
10
11
10
10
10
00
11
11
00
11
00
00
10
00
01
00
01
10
10
10
10
00
10
10
00
00
00
01
10
00
00
00
10
00
00
11
10
10
10
00
10
01
11
10
10
11
00
00
10
01
01
00
10
00
01
11
10
11
10
00
00
11
00
11
11
10
00
01
10
11
01
11
11
00
10
00
11
00
10
10
00
10
10
00
00
10
11
10
11
10
10
00
01
11
00
00
10
11
11
10
01
10
11
00
00
00
01
10
10
10
11
11
01
01
11
10
01
00
10
01
01
10
01
10
10
10
11
00
00
11
11
00
10
10
00
10
01
10
10
00
10
10
10
01
01
00
11
00
11
11
10
01
00
01
10
10
00
00
11
10
10
10
00
10
10
11
10
00
00
10
00
10
00
10
00
10
10
10
01
00
11
00
10
00
10
00
01
11
10
11
00
10
10
00
00
10
00
00
11
00
00
10
10
00
00
11
11
00
00
10
10
00
01
01
10
10
11
00
10
00
00
10
10
00
10
00
01
00
01
01
10
10
10
11
00
11
10
11
01
11
01
00
01
10
01
00
01
01
11
00
10
00
00
01
10
10
00
01
11
11
00
11
00
10
10
11
11
01
10
00
01
10
00
00
10
10
01
00
00
11
00
01
10
00
00
11
00
01
11
00
00
10
00
00
10
10
01
00
11
10
00
11
10
11
10
11
00
01
00
10
10
00
10
10
00
00
10
00
00
10
00
10
01
10
00
10
00
01
10
01
01
10
11
00
10
00
11
10
01
01
10
11
10
00
00
00
10
00
00
10
01
10
11
10
10
10
11
11
00
01
11
01
11
10
11
10
11
00
00
10
11
00
00
00
00
10
11
01
01
11
10
00
01
10
01
01
10
10
00
10
10
01
00
11
10
00
01
11
11
00
00
10
10
00
11
10
00
00
10
01
10
10
00
11
10
11
00
01
10
11
00
00
10
10
11
00
10
10
01
11
11
00
00
01
00
10
10
00
01
10
00
10
11
01
01
00
00
10
00
10
00
10
10
00
10
11
00
00
01
10
00
00
01
11
10
00
00
10
10
01
10
00
10
00
11
01
00
10
01
10
00
10
11
01
01
10
10
00
10
10
10
00
00
00
11
11
00
01
00
00
01
10
01
10
00
01
00
01
10
00
00
10
00
10
11
00
00
00
10
11
10
10
10
01
11
01
10
00
00
00
10
10
00
00
01
10
10
00
00
11
01
01
11
00
11
11
01
10
00
01
11
10
10
00
01
10
00
01
11
10
11
00
11
01
10
10
00
10
10
00
00
10
11
10
11
00
10
10
01
11
10
00
00
00
11
10
10
10
00
00
01
00
00
00
10
01
10
01
00
01
11
00
01
01
10
10
01
11
10
10
10
00
11
10
00
10
00
11
10
01
01
10
00
10
10
00
10
01
10
11
00
11
10
00
00
10
10
00
11
11
10
01
10
00
00
00
00
10
11
00
10
01
01
10
10
00
10
10
00
10
01
00
00
10
00
00
10
10
10
00
11
00
00
10
00
11
10
01
00
10
10
11
11
10
11
00
10
00
01
10
11
00
00
11
10
11
01
10
10
01
00
00
01
11
10
11
10
00
00
11
01
00
10
10
01
01
01
01
11
00
00
10
11
01
00
10
11
10
01
01
00
00
00
11
00
00
11
00
10
01
01
10
11
10
11
00
00
11
10
10
01
00
01
00
10
10
10
00
00
01
10
00
10
10
00
00
01
00
00
10
00
01
10
11
11
10
10
00
10
10
01
00
00
00
00
01
10
01
10
10
10
11
00
00
00
10
10
00
10
11
00
00
10
11
00
01
00
01
01
01
00
00
11
00
11
11
10
00
11
11
10
00
00
10
10
10
10
01
10
11
11
00
11
11
11
01
11
10
01
00
11
01
00
00
10
10
01
00
10
10
01
00
11
00
00
10
11
10
00
00
10
00
01
00
10
10
00
00
00
01
00
10
11
11
10
01
00
01
10
11
00
11
10
00
00
11
00
01
00
10
10
10
01
00
01
10
10
10
01
01
00
00
10
10
00
11
10
10
01
00
00
00
10
00
11
01
10
10
11
10
10
00
00
10
10
00
00
10
11
00
11
11
10
11
00
00
11
00
10
01
01
11
10
10
01
11
00
00
10
10
00
01
11
10
11
01
00
10
10
10
00
01
10
01
00
10
00
11
01
00
00
00
00
11
10
01
11
01
11
01
01
10
00
00
11
01
11
10
00
00
00
10
01
11
10
00
10
11
01
01
11
01
01
10
00
01
10
11
11
00
00
01
10
11
10
00
10
11
10
00
00
10
00
10
10
10
10
01
00
10
10
00
10
10
00
10
00
11
10
10
10
00
10
00
10
11
00
00
00
00
10
11
10
00
01
00
00
01
10
01
00
10
10
01
11
01
01
10
00
10
10
00
00
00
10
10
00
11
00
11
00
00
01
00
00
10
00
01
11
01
00
11
10
00
10
00
00
10
11
00
00
11
01
00
10
10
10
10
10
00
01
00
11
10
11
01
11
11
00
00
11
01
11
00
00
11
10
10
00
00
01
00
00
10
00
00
11
10
11
00
10
10
00
10
10
10
00
10
01
01
00
01
00
10
00
10
11
01
00
10
10
10
10
01
01
01
10
01
11
01
00
10
00
00
10
10
10
01
10
01
00
10
00
10
11
11
11
01
00
00
01
01
11
11
01
01
11
10
00
10
10
10
01
00
10
10
00
00
10
00
10
00
00
10
00
11
00
10
01
00
01
01
10
10
10
01
00
00
00
10
10
00
00
11
00
00
00
01
11
00
00
10
00
10
01
00
10
10
00
00
11
00
11
01
10
10
11
10
01
00
10
00
10
10
11
10
01
00
00
00
00
00
00
00
11
00
10
01
01
10
10
00
10
10
11
10
00
01
10
01
00
10
01
11
11
10
00
00
00
11
10
00
00
10
10
10
00
10
00
01
11
00
00
11
10
10
11
00
10
11
00
10
11
01
10
11
01
01
00
11
00
10
01
00
11
10
11
01
10
11
01
10
10
01
01
11
00
11
11
10
10
00
01
10
10
01
00
10
00
00
10
00
11
10
11
10
01
11
01
00
01
00
10
10
00
01
10
10
00
00
00
10
10
10
01
10
10
00
00
10
10
00
10
10
10
11
10
10
01
10
10
00
00
00
10
10
00
10
10
00
11
00
01
01
10
01
10
10
00
01
10
00
10
11
01
00
10
10
11
11
10
00
10
00
10
10
00
01
00
11
10
11
10
11
01
10
00
11
11
00
01
10
01
10
00
11
10
00
00
00
10
11
00
00
00
00
11
00
11
11
00
00
11
00
00
01
10
01
10
10
00
00
00
11
01
10
10
00
10
10
00
00
01
10
11
11
01
01
11
10
11
00
00
10
10
00
01
00
10
11
10
10
01
00
01
00
11
01
10
10
00
01
10
00
00
10
00
00
00
11
10
10
10
10
10
10
10
10
10
10
11
11
00
00
00
00
01
10
11
01
00
10
00
10
10
10
10
11
11
00
10
00
00
00
10
10
00
10
00
10
10
01
01
01
00
10
10
00
00
01
10
11
01
00
00
00
10
00
10
10
11
00
10
00
10
10
10
00
00
01
10
10
11
00
00
01
00
10
10
00
00
10
10
11
10
01
00
11
00
00
10
11
11
01
10
00
10
00
10
10
01
10
00
10
00
00
10
00
00
00
10
10
10
00
00
00
10
00
00
00
10
10
11
00
01
11
00
01
00
11
10
01
10
00
10
00
00
11
00
00
10
01
10
01
11
11
00
10
01
00
01
10
00
01
11
10
11
10
00
00
10
11
10
01
01
01
10
00
00
10
00
00
01
00
00
00
11
10
00
10
10
10
01
11
10
00
10
11
10
10
01
11
00
01
00
00
00
10
11
01
00
10
10
00
11
00
01
10
00
00
01
10
01
10
10
00
10
01
00
00
10
10
11
01
00
11
10
01
01
00
01
00
10
10
10
00
10
10
01
01
10
10
00
01
01
01
01
00
11
11
10
10
11
11
10
01
00
01
11
10
01
11
10
01
00
10
11
10
10
00
11
10
00
10
10
10
00
00
10
00
00
00
11
11
11
10
10
00
11
01
10
00
10
10
11
00
00
10
10
10
00
01
11
10
01
10
11
10
11
01
01
10
10
00
10
10
01
00
11
10
00
10
00
00
10
10
00
10
11
10
10
10
00
00
01
10
01
01
00
10
10
00
11
10
00
11
11
00
00
11
01
01
00
01
10
00
10
01
11
10
11
01
00
10
10
00
10
10
10
11
01
00
10
00
01
00
00
01
10
10
10
10
00
00
10
10
11
01
10
00
01
10
01
00
11
11
10
10
00
10
10
10
00
10
01
00
10
00
01
10
00
00
00
10
01
00
10
10
11
00
00
01
10
00
01
10
10
00
00
00
01
10
01
01
11
00
10
00
01
11
10
00
00
00
10
01
00
10
00
00
10
11
10
10
01
01
10
11
11
01
10
00
00
10
01
10
00
10
10
00
00
10
11
10
11
00
10
00
01
00
00
00
10
00
01
10
01
10
00
00
10
10
10
10
01
00
10
00
00
11
01
11
00
00
11
10
00
11
01
00
10
01
11
10
00
00
10
10
10
00
00
01
11
00
10
00
00
00
00
10
01
11
00
00
10
00
00
00
01
11
10
11
01
10
00
10
10
10
00
11
10
00
00
11
01
10
01
00
00
01
10
10
10
11
00
11
01
00
00
00
00
10
00
00
10
00
00
00
00
10
10
10
00
00
00
00
00
01
01
00
10
11
10
10
00
01
01
00
00
00
10
10
00
11
01
10
11
10
11
00
11
00
01
10
10
01
00
10
10
11
11
00
00
00
11
10
00
01
00
10
01
00
10
01
00
10
10
00
10
11
11
11
01
00
00
00
11
10
00
00
10
10
00
00
01
00
11
00
00
10
10
01
00
10
10
10
10
00
10
10
00
00
10
11
11
11
00
01
10
00
10
10
10
00
01
10
10
01
11
01
00
00
00
01
00
10
10
00
10
01
10
10
00
01
00
01
10
10
10
00
10
00
00
10
11
11
01
01
10
11
11
10
10
00
00
10
10
00
01
01
01
00
01
00
01
10
01
00
10
10
00
00
01
10
10
00
01
00
10
10
01
10
00
10
10
00
10
00
01
00
10
01
01
01
00
10
00
11
00
10
00
01
00
01
11
10
11
00
00
10
10
00
00
10
11
01
10
11
00
00
11
11
01
00
10
10
10
11
00
01
10
01
00
11
11
01
11
11
01
00
00
10
10
00
10
11
01
00
01
10
00
10
10
00
00
01
11
10
10
00
01
00
10
10
11
10
10
11
00
10
11
00
00
10
10
01
10
10
11
00
01
10
11
00
00
00
10
10
00
00
01
01
10
01
10
00
10
11
11
00
00
11
01
00
01
10
01
00
11
11
10
00
00
01
10
01
00
01
10
10
10
00
00
01
10
10
10
11
00
10
10
10
11
00
00
11
01
10
01
10
10
00
00
01
00
11
11
00
01
01
00
00
10
10
00
00
10
00
10
10
00
10
00
11
10
00
00
11
10
11
00
00
00
10
00
01
11
11
01
00
11
00
10
00
11
10
00
11
10
10
10
11
00
11
00
00
10
00
10
00
10
10
10
00
01
10
00
10
00
00
01
11
10
01
00
10
10
01
10
11
10
01
11
10
01
01
00
11
10
11
00
11
01
00
00
11
00
10
00
10
11
10
00
00
10
10
11
01
00
10
10
00
00
01
01
10
10
10
10
01
00
10
01
01
11
00
11
10
00
10
10
00
00
10
00
00
10
10
00
00
10
10
00
00
11
10
11
01
00
11
10
00
10
10
00
10
10
00
11
01
00
11
10
01
00
10
11
00
11
10
10
00
00
10
11
10
00
01
00
11
11
11
10
10
11
01
00
11
10
11
11
01
00
00
10
10
00
00
00
11
10
11
00
10
01
00
11
00
10
10
01
11
11
01
10
10
00
00
10
10
01
00
11
10
00
00
00
01
11
00
00
10
10
10
00
00
10
11
10
11
10
00
10
10
10
01
11
11
00
10
10
00
00
10
10
01
00
10
11
01
11
01
10
10
10
10
11
00
01
00
10
01
10
10
00
10
10
11
01
00
10
01
10
10
10
00
11
11
00
01
10
11
00
00
11
00
11
10
10
00
00
11
10
10
00
01
11
10
00
00
11
01
00
10
10
00
10
00
10
01
00
00
00
10
00
10
11
01
10
00
00
11
11
11
01
01
10
11
10
01
10
01
00
10
10
10
10
00
11
00
11
10
10
00
10
00
11
11
11
11
10
11
10
00
10
11
00
00
00
11
10
00
10
00
00
10
10
01
11
11
01
11
11
00
01
00
01
10
11
10
00
01
10
01
00
10
01
10
01
01
00
11
11
10
10
00
01
10
11
00
00
00
00
11
00
01
11
10
10
10
01
00
10
10
01
00
11
01
00
01
00
00
10
10
00
01
01
10
10
11
11
10
00
00
01
10
11
10
00
01
00
10
01
00
01
01
10
00
00
00
10
11
00
10
11
11
10
01
00
00
10
10
00
11
10
01
10
00
10
11
00
10
10
11
10
00
00
00
10
10
11
01
01
11
00
00
00
01
01
11
11
00
00
01
10
10
01
00
11
10
01
01
01
00
11
11
00
00
10
10
00
11
10
11
01
00
01
11
10
01
11
11
00
00
11
10
00
00
10
10
10
00
11
10
00
10
10
11
11
00
10
11
00
00
10
10
00
00
00
00
10
11
00
00
00
10
11
11
01
00
01
11
11
00
01
00
10
01
00
10
01
00
01
10
00
10
00
01
11
10
00
10
01
10
00
00
11
10
01
10
10
10
00
11
01
11
10
01
00
00
10
10
01
00
01
10
10
10
10
10
11
11
00
00
01
10
10
11
00
01
01
00
00
10
00
00
10
10
11
10
11
11
11
01
00
01
10
00
00
01
00
10
00
01
00
11
10
01
11
11
10
10
11
00
00
10
10
00
01
10
00
00
10
00
10
00
11
10
10
01
00
10
01
00
10
00
01
10
10
00
00
00
11
00
10
10
11
00
00
10
11
01
10
11
00
10
11
00
01
11
10
00
10
01
00
11
10
00
00
10
01
11
10
00
00
00
01
10
00
10
10
11
00
01
00
00
11
10
01
10
10
01
10
10
00
00
10
10
11
00
01
10
11
00
10
10
00
00
10
00
00
00
10
00
01
10
00
00
00
00
00
10
00
11
10
10
10
10
00
01
00
00
10
00
11
00
10
11
00
00
00
00
11
00
00
11
10
11
10
00
11
10
10
10
01
01
00
01
10
00
11
01
00
00
00
10
00
00
10
00
00
10
00
11
10
00
00
10
11
00
01
10
00
10
10
00
10
10
00
00
10
00
00
11
00
01
10
00
00
10
01
01
01
10
10
10
10
00
10
10
00
01
00
01
00
10
00
00
10
00
00
10
00
10
00
10
11
00
11
10
11
00
00
01
10
00
00
10
10
11
10
01
11
01
01
01
10
11
01
10
00
01
10
00
10
10
01
00
11
01
11
01
01
10
10
11
00
01
00
10
11
00
00
00
10
11
10
00
10
01
10
00
00
00
10
10
10
10
10
11
00
01
11
00
00
10
11
00
00
10
10
11
01
01
10
11
00
10
00
10
00
00
11
11
10
00
11
00
00
10
01
10
00
10
10
00
10
00
10
10
01
00
11
10
01
01
10
10
10
00
00
00
11
00
10
10
11
11
10
01
00
10
00
11
10
10
11
00
00
10
00
10
11
11
00
00
01
00
10
10
11
01
00
11
10
10
00
00
10
10
01
01
00
00
11
01
01
01
01
10
10
10
11
11
11
00
00
01
00
01
00
01
11
11
00
01
10
00
11
10
10
01
00
11
10
00
00
10
00
00
10
10
10
00
00
00
10
00
01
11
01
10
10
00
10
01
00
11
10
10
00
00
10
10
11
01
00
10
00
01
00
00
01
10
01
00
11
10
11
10
00
00
10
00
01
10
11
10
00
10
11
11
00
10
10
10
01
10
10
00
10
01
10
01
01
01
00
10
10
00
00
01
01
10
10
10
11
00
00
10
01
11
10
00
00
11
11
00
10
10
00
00
00
00
10
00
10
11
00
01
10
10
00
00
10
01
10
10
11
01
11
01
01
00
00
10
10
10
00
00
10
11
00
01
10
00
00
00
01
10
10
11
01
01
10
10
11
00
11
10
01
00
11
10
10
11
00
10
10
00
00
10
10
00
11
10
00
10
11
10
01
10
10
00
00
00
10
01
01
11
10
01
00
00
10
11
10
10
01
01
00
01
00
10
10
01
00
00
11
11
00
00
00
10
00
11
10
11
00
01
10
11
00
11
00
01
11
10
00
10
00
00
10
11
11
11
00
00
11
00
10
00
00
00
00
00
11
10
00
00
00
10
00
00
11
11
00
00
01
00
10
01
01
10
10
10
00
10
00
01
10
10
01
11
11
01
10
00
10
00
00
00
11
00
00
00
00
00
11
00
11
10
11
00
11
10
00
00
10
11
00
01
10
01
00
11
00
10
00
00
00
11
10
01
00
11
11
00
00
00
00
10
00
10
00
00
10
01
00
10
00
00
00
10
11
00
00
01
10
01
11
11
01
10
10
10
00
01
00
10
10
00
10
01
11
11
00
11
10
01
10
01
10
11
00
01
01
10
01
10
00
01
10
10
00
10
00
10
01
00
11
00
00
00
00
00
10
10
00
10
00
10
01
10
00
01
00
11
10
01
00
11
10
00
00
10
11
00
00
11
00
10
10
10
10
00
00
11
11
01
10
01
00
00
00
10
11
00
01
10
11
11
10
01
11
11
01
00
00
11
01
11
10
00
00
11
11
01
00
10
00
00
10
11
11
01
10
00
11
00
00
10
10
10
01
00
10
00
00
01
01
00
10
00
00
11
10
10
01
01
00
11
10
00
00
11
10
01
00
10
01
00
00
10
10
10
00
00
00
01
00
01
10
01
01
10
10
00
00
10
00
01
00
00
10
10
00
10
11
11
01
00
11
01
10
10
10
00
00
10
00
11
11
11
10
11
00
10
00
10
11
10
11
00
10
11
11
10
01
01
11
01
10
00
01
00
01
00
10
01
01
10
10
00
00
10
11
10
00
00
11
10
10
01
01
00
10
11
10
00
00
11
00
01
01
00
10
10
11
00
00
00
11
11
00
00
10
11
00
11
11
10
00
00
10
00
01
10
10
10
00
00
10
00
00
00
10
11
11
00
10
11
00
01
00
00
10
10
00
00
10
10
10
01
00
11
01
01
01
11
00
10
00
00
10
10
01
10
00
01
10
00
01
10
11
00
00
00
10
11
10
01
00
10
00
11
10
11
00
00
00
00
10
10
11
11
00
10
10
00
00
00
00
00
10
00
11
00
10
10
10
01
00
10
00
11
00
11
01
00
10
10
10
10
00
00
00
00
10
11
11
11
10
00
11
10
00
00
00
00
10
00
10
10
00
01
00
10
10
10
01
00
11
01
01
10
10
00
10
10
10
00
00
00
11
10
11
11
00
11
00
11
10
11
00
00
00
10
11
10
01
01
11
10
11
01
00
11
01
10
10
10
11
01
00
11
00
00
10
10
10
00
01
11
11
10
00
10
10
01
00
10
11
00
00
11
00
10
00
01
10
01
00
00
01
10
10
01
10
10
00
00
01
10
10
01
11
10
10
00
11
10
11
10
00
00
00
10
10
00
01
00
00
01
11
01
10
00
10
00
00
10
10
11
10
00
01
10
10
01
00
00
10
00
01
00
01
10
00
00
10
10
01
00
11
01
01
10
11
10
10
11
01
00
10
10
00
00
00
01
10
10
00
11
11
10
10
00
11
10
00
10
10
01
00
01
10
11
00
10
10
01
11
10
00
01
10
00
10
01
00
11
11
01
11
00
11
10
00
01
00
10
11
01
00
10
10
00
10
10
00
10
11
00
00
11
00
11
01
11
11
10
00
00
00
11
00
00
10
00
10
10
10
00
00
01
00
10
00
00
11
00
01
10
11
00
00
00
10
10
00
10
00
01
00
11
00
00
00
00
11
00
00
10
10
00
01
00
01
00
11
10
00
00
00
10
00
00
10
10
10
10
10
10
11
01
01
00
10
00
01
10
11
00
00
00
01
10
10
01
00
10
10
00
01
00
00
11
00
01
10
10
01
00
00
10
10
00
00
10
00
10
11
00
00
10
11
00
01
01
11
10
00
00
10
10
10
10
01
00
00
11
11
10
00
00
10
00
01
11
10
11
10
00
10
00
11
11
00
00
00
00
11
10
10
10
10
01
10
10
01
10
01
11
10
11
01
10
10
00
00
00
00
11
10
11
01
00
00
11
00
10
01
01
00
11
11
00
00
11
10
00
00
10
00
00
00
10
00
01
00
11
00
10
10
01
10
00
10
11
00
10
10
01
00
00
00
10
10
00
10
00
01
01
11
10
01
00
11
00
01
10
10
10
00
10
11
00
00
10
11
10
00
11
10
00
11
01
10
00
10
11
01
01
00
01
10
10
10
01
10
00
00
11
10
10
11
00
10
10
10
00
01
10
00
01
11
10
10
01
00
01
10
10
10
10
01
01
11
00
10
11
01
01
10
11
01
00
00
10
11
01
00
10
01
11
10
00
00
11
00
10
10
00
00
00
10
00
00
00
10
10
00
01
01
11
10
10
01
00
10
00
10
10
00
00
10
10
01
00
10
10
11
00
00
11
10
11
10
00
01
10
10
00
10
10
10
00
01
10
00
10
11
00
10
00
00
10
00
10
00
00
10
00
11
00
10
11
00
11
11
10
11
01
00
00
11
01
00
01
11
10
11
10
00
11
00
00
00
00
10
10
00
00
11
10
10
01
10
11
11
01
00
10
00
00
01
10
00
00
10
10
00
10
11
10
11
00
01
00
10
10
00
10
10
00
00
00
00
11
10
00
11
10
10
10
11
00
10
00
00
11
11
10
00
10
10
00
00
11
11
00
00
00
00
10
00
00
00
00
10
11
00
11
01
00
01
00
11
10
00
01
11
01
01
01
10
10
10
10
01
00
10
10
10
00
00
11
00
10
11
00
10
10
11
01
10
01
00
10
11
11
01
10
10
00
00
11
10
11
00
10
11
00
00
10
00
01
10
10
10
10
00
00
11
00
01
01
00
11
11
11
00
00
11
01
10
10
01
00
00
11
01
10
00
00
11
10
11
10
00
11
00
10
11
00
00
10
11
10
11
00
01
00
10
11
11
00
01
00
11
01
10
10
00
10
00
00
10
10
10
10
10
00
10
01
00
10
01
00
01
11
01
01
00
10
10
10
00
10
11
10
00
00
01
10
00
11
00
10
10
00
00
00
01
11
10
01
00
10
00
10
01
00
10
10
01
00
10
00
10
10
11
01
00
10
10
10
00
00
01
10
10
00
10
11
10
00
11
01
10
10
00
00
01
01
10
10
10
00
00
10
01
10
00
00
01
11
10
01
10
01
10
01
00
10
10
01
01
10
10
00
10
10
11
00
01
00
11
00
11
11
01
10
10
00
00
00
10
10
00
11
01
00
00
00
10
00
10
11
00
00
00
00
00
00
01
00
11
11
00
01
00
11
10
11
01
01
10
10
00
00
00
10
11
00
01
11
10
10
11
01
10
10
00
10
01
10
11
00
00
10
01
10
01
00
01
00
00
10
11
11
10
00
00
10
00
00
10
01
00
11
10
10
11
10
11
00
10
10
00
01
00
00
10
11
00
10
11
00
00
10
10
10
00
00
00
11
10
00
00
10
01
00
00
00
11
00
00
10
00
01
10
00
11
00
01
10
11
01
00
11
11
01
10
10
01
10
11
00
11
10
01
01
00
00
00
01
10
11
00
11
10
01
10
01
10
11
01
01
01
10
10
10
11
00
00
10
10
00
00
10
01
10
10
00
00
10
00
10
10
11
00
00
10
00
10
00
10
00
00
00
11
10
11
11
10
00
11
01
00
11
10
01
10
10
10
01
00
10
01
00
10
01
00
10
01
01
11
01
01
11
00
00
11
00
00
10
11
00
00
00
11
00
01
00
10
11
10
00
00
10
10
10
01
00
01
10
10
00
11
00
00
00
11
00
01
01
10
00
10
01
00
11
10
11
00
10
10
00
01
10
01
01
00
11
11
00
01
10
10
10
01
01
10
01
10
01
00
01
00
00
00
11
10
01
10
11
11
01
01
11
10
01
00
10
10
10
10
00
00
10
10
00
00
01
10
10
11
10
01
00
11
00
10
10
00
10
00
10
11
01
11
10
00
00
10
00
10
10
10
11
01
01
00
01
00
01
10
10
10
00
01
01
10
10
10
10
10
10
01
00
10
00
01
11
00
11
10
01
10
10
10
10
00
01
00
10
00
00
10
00
00
11
00
10
00
10
00
00
11
11
10
00
00
11
11
11
10
01
00
11
10
01
10
11
10
00
00
10
11
00
11
11
01
00
11
00
00
00
00
10
10
10
00
00
11
00
11
01
10
00
00
00
10
11
00
00
00
00
10
00
00
10
01
00
11
10
10
10
00
00
00
10
00
10
00
11
10
10
11
01
01
01
10
01
00
10
00
10
11
10
00
00
11
10
01
01
10
10
11
11
01
00
00
10
00
10
10
10
00
01
00
11
01
10
10
00
01
10
00
01
10
00
10
11
00
00
00
10
00
00
01
11
10
11
00
00
10
10
10
10
00
00
01
01
00
00
00
10
10
10
11
01
00
11
01
00
00
10
00
10
11
00
00
00
10
10
01
01
10
10
00
10
01
00
11
00
01
10
11
10
00
00
10
10
00
10
10
00
10
01
00
01
11
11
01
01
11
10
01
10
10
00
01
10
10
00
11
10
10
10
11
10
01
00
10
00
00
10
01
00
10
00
00
00
11
00
00
10
10
11
01
10
10
00
10
11
00
10
00
00
00
01
10
10
00
01
11
10
00
00
10
10
11
01
00
01
10
11
01
00
10
10
11
10
10
00
00
01
10
10
00
10
10
00
11
10
01
00
10
11
10
11
10
01
01
00
11
11
00
00
11
11
11
10
10
00
01
10
10
00
10
01
00
00
00
10
10
01
01
00
10
10
00
00
00
10
10
01
00
00
11
00
00
10
11
11
00
00
00
01
00
00
10
01
10
01
00
10
00
01
00
10
00
01
11
11
10
00
10
00
11
10
00
00
00
10
10
11
10
11
10
01
10
11
00
11
10
01
01
01
10
10
00
10
01
10
10
00
01
01
10
10
00
11
10
00
00
01
10
11
11
00
00
10
01
10
00
01
10
10
10
10
00
10
10
01
11
10
00
11
00
10
00
10
01
11
00
01
00
01
10
01
00
10
00
00
11
11
01
10
11
00
10
10
10
00
00
00
11
10
01
10
01
10
11
11
00
11
10
11
00
10
00
01
10
10
01
01
10
01
10
00
00
00
00
10
00
01
11
10
10
10
01
10
01
00
00
10
10
11
10
10
01
10
00
10
11
01
00
00
00
10
00
00
01
10
11
00
00
01
00
11
00
01
11
11
00
10
00
00
00
10
10
00
00
00
00
10
11
00
01
00
00
00
01
10
10
10
00
10
01
10
11
01
11
11
10
00
01
10
10
10
01
01
10
01
10
00
10
00
00
10
10
00
10
00
00
01
01
01
01
00
01
00
01
10
10
00
00
11
10
11
00
00
11
10
10
00
00
10
00
10
10
00
10
10
10
10
01
11
10
00
10
00
10
01
00
11
10
10
00
10
10
01
10
11
10
01
10
00
01
10
00
11
00
00
00
01
10
00
01
10
11
10
10
01
00
10
00
10
10
00
01
01
10
00
01
10
10
00
00
10
11
01
10
11
00
10
00
00
10
00
10
11
10
01
00
10
10
10
10
01
10
10
10
11
00
10
11
10
01
00
01
10
10
10
01
00
10
00
00
10
10
10
00
01
11
10
00
10
11
00
00
10
11
00
00
01
11
00
00
11
01
00
00
10
10
11
00
11
00
11
00
10
11
01
10
10
10
10
10
00
01
10
11
00
00
01
00
01
10
10
00
11
11
00
11
00
00
00
01
10
10
11
01
10
00
00
11
01
00
11
10
10
00
01
10
00
10
10
00
00
10
00
11
00
00
10
10
00
00
10
10
01
00
11
11
10
10
10
00
01
01
11
00
10
10
00
11
10
00
00
00
01
10
11
10
11
11
10
10
11
10
10
00
01
10
10
01
10
00
00
01
11
10
00
10
10
10
10
01
11
00
11
10
01
11
10
00
00
00
11
11
10
11
01
00
00
00
10
10
10
01
10
01
10
10
10
00
00
10
10
01
00
00
00
11
10
11
00
00
10
01
01
01
01
10
10
00
01
10
10
00
00
11
00
10
10
10
01
01
01
00
01
11
10
10
10
11
00
10
01
01
00
10
10
00
10
11
00
11
11
00
10
10
10
10
00
10
00
01
11
10
10
10
00
01
10
10
00
00
10
11
00
01
01
11
11
10
11
10
10
01
10
10
00
11
11
00
11
10
00
00
11
00
00
10
10
10
11
00
11
00
01
10
00
00
11
00
10
10
00
01
11
10
10
11
11
10
11
00
00
11
10
00
00
10
10
11
10
11
00
10
10
00
00
10
10
01
00
00
10
10
11
11
11
00
10
11
00
11
10
10
00
11
01
11
01
00
10
00
00
11
00
10
10
10
10
10
00
00
00
10
00
10
10
10
10
00
01
10
01
10
10
00
10
00
00
01
10
01
10
00
00
10
00
00
11
10
10
00
10
01
00
10
10
10
00
11
10
11
01
01
00
00
01
10
01
00
11
01
01
10
01
11
10
10
00
01
11
10
00
10
10
11
01
10
10
01
00
10
10
00
01
10
00
00
11
01
00
10
10
00
10
11
00
10
10
00
10
10
00
00
01
11
01
10
10
01
10
10
10
10
01
00
10
11
00
11
11
01
00
10
00
01
00
00
11
11
00
00
10
00
01
00
00
01
10
11
11
01
11
00
10
00
10
01
10
10
01
00
00
10
00
10
10
00
10
00
01
00
00
01
00
00
01
01
11
10
10
01
00
00
00
10
11
11
00
11
11
00
00
11
01
01
00
10
00
01
00
01
10
10
00
01
11
01
00
00
11
01
10
00
00
10
11
11
01
00
10
10
10
01
00
10
10
01
00
00
10
10
00
01
00
10
00
00
10
01
11
00
00
01
10
00
10
10
11
01
01
00
00
10
00
10
01
00
10
10
00
00
10
01
10
00
01
11
01
00
10
00
00
01
10
00
10
10
10
11
10
00
00
11
01
00
10
00
00
00
10
11
10
10
00
10
00
01
10
00
10
00
10
01
00
00
01
11
00
11
11
10
10
00
00
00
00
00
10
11
10
11
10
11
10
10
01
00
00
00
01
00
10
10
10
10
01
11
00
10
10
00
11
10
00
11
01
10
00
00
11
01
00
10
10
00
00
11
10
10
00
00
10
00
10
10
01
00
11
00
11
00
10
00
11
01
00
01
01
11
01
10
00
11
11
00
11
10
10
11
00
11
10
11
01
00
00
01
10
10
10
00
01
10
11
11
00
00
01
10
00
10
11
00
10
11
00
11
00
01
10
11
11
10
10
00
10
10
11
00
01
11
11
11
01
10
01
00
10
10
00
01
10
00
00
00
10
01
11
10
11
00
11
00
01
10
01
00
10
00
01
10
01
10
11
11
00
01
00
10
00
10
10
10
11
10
11
10
00
01
00
01
00
11
00
00
00
11
00
11
10
01
00
11
10
10
11
00
00
01
10
00
10
11
00
10
11
10
01
00
10
11
10
01
00
01
10
00
00
10
00
00
00
11
01
00
11
11
10
11
11
01
00
00
10
00
00
11
10
01
11
10
10
01
01
11
00
11
10
11
00
00
01
10
11
00
10
10
10
01
11
10
00
00
00
11
10
00
01
00
01
10
00
11
00
00
11
10
01
00
01
10
01
01
11
00
10
01
00
01
00
10
10
10
01
00
00
10
00
10
00
00
11
01
10
00
10
10
10
00
10
11
00
01
10
11
00
00
00
01
10
10
00
00
11
00
01
00
01
10
10
10
00
10
10
00
00
11
11
10
00
00
10
10
00
10
10
10
10
01
10
10
00
10
00
11
11
00
00
01
10
00
00
10
01
10
10
10
00
01
10
00
11
00
10
00
00
10
10
10
01
10
11
00
10
11
00
00
00
10
01
10
11
10
10
10
10
10
10
00
01
10
10
00
10
10
11
10
00
10
01
11
00
11
00
11
11
01
10
01
00
11
00
01
00
00
10
10
11
00
11
11
11
00
11
10
01
00
01
11
10
11
10
00
00
10
11
01
01
00
00
10
11
00
11
10
00
10
11
10
11
00
11
00
10
00
00
10
10
11
00
10
01
01
00
10
00
11
10
00
11
00
01
00
01
01
11
00
10
11
00
11
10
00
00
10
10
00
10
10
10
00
11
11
00
00
01
10
01
10
00
11
10
01
10
00
10
00
01
01
10
10
00
00
10
00
10
01
10
10
11
01
11
00
00
00
10
00
10
10
01
00
01
00
11
00
00
10
10
01
10
10
00
10
10
10
01
01
10
01
11
10
11
00
01
11
11
00
11
11
10
01
01
10
11
10
10
01
00
10
00
10
10
11
11
01
10
00
00
10
00
00
10
11
01
00
01
10
10
00
00
10
11
11
00
10
10
00
10
11
01
10
10
10
10
00
01
10
10
10
00
10
10
10
10
00
10
10
01
00
11
00
01
10
10
11
00
11
10
00
10
10
01
00
10
00
11
11
01
01
10
00
01
00
00
11
11
00
00
00
01
00
10
10
00
01
10
10
10
01
00
00
00
11
00
10
10
00
11
11
10
01
01
11
00
00
00
11
10
01
10
11
10
00
00
10
00
00
00
10
00
00
10
11
10
00
10
00
10
00
00
00
11
10
11
00
10
10
11
01
01
00
00
00
10
01
00
10
10
00
10
00
01
10
10
11
11
10
01
10
11
00
00
11
00
00
10
00
10
00
11
00
10
11
11
00
00
10
10
00
10
11
01
11
00
00
11
10
00
11
10
00
11
10
00
01
11
11
10
01
11
00
10
10
00
01
11
10
00
00
11
10
10
00
01
10
00
10
10
10
10
01
00
00
01
10
00
01
11
10
10
00
00
10
10
10
11
11
11
10
10
11
11
10
01
00
11
10
00
01
00
10
10
01
10
10
10
00
11
10
00
10
10
11
00
00
00
10
10
10
00
11
10
01
10
01
01
00
01
11
00
11
00
10
11
01
00
00
01
10
00
10
10
10
00
00
00
01
10
10
10
00
11
10
10
10
01
10
00
00
01
10
01
01
10
01
00
01
10
11
00
01
01
10
01
01
10
11
11
00
11
10
00
11
00
10
01
00
10
00
00
00
10
00
10
10
11
10
00
00
11
00
10
00
10
10
10
01
01
01
10
10
10
00
00
00
00
11
10
10
00
10
00
00
01
11
00
11
11
00
00
10
11
10
01
00
01
11
11
10
01
10
00
11
10
11
01
11
00
01
00
10
10
00
11
10
01
00
11
10
01
10
11
10
01
10
00
11
10
11
01
00
10
11
00
00
11
10
00
01
10
11
00
11
00
10
01
10
00
00
00
11
10
10
10
10
00
10
00
01
10
10
00
00
10
01
00
10
10
00
00
00
00
10
10
00
00
01
01
10
00
10
01
10
11
01
00
00
10
00
10
01
10
01
10
00
10
01
11
10
00
00
11
10
10
00
00
10
00
00
10
00
10
10
11
10
11
00
01
10
11
11
11
10
00
00
11
00
10
10
00
00
00
00
00
10
01
10
10
00
10
10
10
00
10
01
00
10
00
10
10
01
11
10
00
10
00
00
10
10
00
01
01
01
11
01
11
00
01
10
11
01
01
10
00
01
00
11
10
00
01
10
10
01
00
10
00
10
10
00
01
00
11
11
00
00
01
10
00
10
10
00
10
01
10
10
00
10
11
11
00
10
11
11
10
11
00
00
00
10
11
10
00
01
11
00
00
00
00
00
00
11
11
00
00
00
00
00
00
11
10
10
10
10
00
00
10
10
00
10
11
01
11
01
00
00
00
01
00
10
11
00
11
10
11
10
11
00
00
00
10
11
00
10
10
10
00
00
10
11
00
11
01
00
00
10
10
10
00
01
00
00
10
01
11
01
00
10
10
00
10
00
00
10
00
00
00
01
01
10
00
01
00
11
00
10
10
10
00
01
10
11
01
00
00
01
10
10
11
11
01
00
10
00
00
10
10
00
00
00
00
01
01
00
11
01
10
00
00
11
10
11
01
10
10
00
10
00
01
01
10
10
00
10
01
00
01
10
00
01
01
10
00
10
10
00
10
10
00
01
00
01
11
00
00
11
10
11
00
01
10
11
10
00
01
10
00
00
11
10
00
01
11
00
11
11
01
11
10
00
01
10
11
01
00
00
11
10
00
10
10
10
00
00
10
11
10
10
11
01
00
10
00
10
00
00
10
00
00
10
00
00
01
10
01
11
10
11
10
00
11
10
00
00
10
00
01
01
10
00
11
11
00
00
11
10
11
00
00
11
10
11
00
00
11
11
01
01
11
01
00
10
10
00
00
11
10
00
10
11
10
00
00
10
00
00
00
10
10
00
10
00
00
01
00
00
01
00
00
11
11
10
10
01
10
10
01
00
00
00
10
00
01
10
10
10
00
11
01
01
11
10
00
10
01
00
10
10
00
01
10
11
00
01
01
00
00
11
11
00
01
10
11
10
00
00
11
11
01
01
11
00
01
10
10
00
00
00
00
10
10
11
11
10
00
11
10
10
00
11
01
10
11
11
10
00
11
11
01
00
10
01
00
11
11
00
01
00
11
10
01
10
00
01
11
11
01
01
10
00
10
10
00
00
10
10
00
00
00
10
10
00
11
11
11
11
00
11
00
10
10
00
00
10
10
00
10
10
00
10
00
11
10
10
00
11
00
10
10
00
01
10
00
10
10
10
00
11
10
00
01
11
00
10
10
01
01
11
10
10
10
10
00
00
11
10
01
10
00
11
01
01
00
10
10
11
00
11
10
00
00
00
10
10
00
11
10
10
00
00
10
00
10
10
10
00
10
00
01
00
10
11
11
00
00
00
00
01
01
00
10
10
11
10
00
00
10
10
01
10
10
01
00
01
00
11
10
10
10
10
11
01
10
11
01
10
10
11
10
00
00
11
10
01
00
00
10
10
10
10
01
00
00
01
10
10
10
10
11
00
00
10
10
10
00
11
11
00
01
10
00
00
01
10
10
01
00
01
10
10
11
11
00
00
00
00
10
11
10
00
11
11
00
10
11
01
01
01
01
00
10
11
10
00
10
10
00
10
00
10
10
10
10
11
01
10
01
10
00
00
00
01
11
11
01
10
00
00
10
10
00
00
10
00
01
00
11
01
10
11
00
00
10
10
01
01
10
11
01
10
10
00
01
01
00
00
01
00
11
10
01
10
01
10
10
00
10
10
11
11
10
01
00
10
11
00
00
10
10
00
01
10
00
10
00
10
00
00
00
11
01
10
10
11
01
10
10
10
10
00
11
10
01
00
10
10
01
11
11
11
00
11
11
10
10
10
11
01
01
01
00
11
01
10
11
11
00
01
00
10
10
00
01
00
01
10
10
01
10
01
10
10
00
00
10
10
10
01
11
11
10
10
10
10
11
00
00
11
10
10
10
11
00
01
10
10
01
00
00
11
00
11
00
10
01
01
10
11
10
00
11
00
00
11
00
10
10
00
10
00
10
00
11
11
10
00
11
00
01
10
11
11
11
00
10
00
01
10
10
00
01
10
10
10
00
00
10
00
00
10
10
10
00
10
00
00
00
10
10
00
00
00
10
10
10
01
01
01
01
00
11
11
01
10
00
00
10
11
00
01
10
10
00
00
11
00
10
11
01
11
10
11
10
11
10
00
11
10
00
01
00
01
11
00
00
11
10
00
01
10
01
01
00
00
10
10
11
11
00
10
01
00
00
10
10
10
00
01
00
00
00
00
00
11
00
10
01
01
00
01
10
00
10
10
00
01
00
11
11
00
11
01
10
00
01
10
10
00
00
11
10
01
00
11
01
10
10
01
00
00
00
11
00
00
11
00
01
01
10
11
11
01
00
10
10
10
10
00
01
11
00
00
10
01
01
00
10
10
00
00
10
10
00
00
01
11
11
00
11
00
11
01
00
10
10
10
00
00
00
10
00
10
10
01
01
00
10
00
10
10
00
00
11
10
10
10
01
01
10
00
01
11
10
10
11
01
01
00
00
11
10
10
01
01
00
10
10
00
00
01
10
10
10
00
11
01
00
01
01
00
10
00
10
10
10
00
00
10
01
00
00
00
00
11
00
00
00
11
00
00
10
10
10
01
00
10
11
00
10
10
11
00
00
01
00
00
00
10
10
10
10
00
00
10
11
10
01
10
00
10
10
00
10
10
11
11
01
11
10
01
11
00
10
11
01
11
00
00
10
11
10
01
00
10
10
00
00
01
01
11
11
00
00
01
00
10
00
10
01
00
01
01
10
10
10
10
10
11
01
00
01
10
10
11
10
11
10
00
01
01
11
10
11
00
10
00
01
00
10
10
00
10
10
01
10
01
00
01
00
10
00
10
00
00
00
10
01
00
00
01
10
10
10
00
11
11
00
01
00
01
10
00
11
01
00
00
00
10
00
01
10
00
00
10
00
11
11
11
10
00
00
11
10
00
01
11
11
01
10
10
01
10
11
01
00
10
11
01
11
00
00
11
01
00
11
01
00
00
00
10
00
10
10
00
10
00
10
11
10
10
01
00
00
00
10
00
01
10
01
10
10
00
00
00
11
11
00
00
00
10
11
10
00
11
11
01
11
10
00
00
00
10
00
00
10
00
10
01
00
11
10
00
00
10
10
01
00
11
11
10
11
00
01
00
10
00
10
10
00
01
10
10
00
10
00
00
11
00
11
10
00
00
10
10
00
00
10
10
10
00
11
10
00
10
10
11
10
00
11
00
00
01
11
10
01
10
10
11
10
01
10
01
00
00
10
10
01
00
01
01
10
10
10
11
01
10
10
00
00
11
10
00
01
10
00
01
10
00
10
11
10
11
10
00
00
01
00
00
10
10
11
11
10
00
00
01
01
10
01
10
10
11
01
01
11
10
00
10
00
00
01
00
10
10
00
00
00
10
10
11
11
10
11
01
00
11
11
00
10
00
10
11
10
00
00
10
11
00
01
10
10
00
10
00
01
00
01
00
11
11
10
00
10
01
01
10
11
00
00
00
01
10
00
10
11
00
10
10
00
00
10
00
10
10
00
10
11
01
01
00
11
00
10
00
11
00
11
10
01
11
00
00
00
10
00
00
11
00
10
01
00
01
00
01
11
11
10
00
00
11
01
10
10
01
01
11
00
01
10
10
11
10
10
01
01
11
10
00
01
10
10
10
00
01
10
11
10
01
10
10
00
10
10
01
11
10
00
10
00
01
11
01
10
10
10
10
10
01
10
10
00
00
10
10
01
00
00
10
11
00
01
10
11
11
00
10
10
00
01
01
01
10
11
00
00
11
00
10
10
00
10
00
10
00
10
10
00
00
10
11
00
11
01
00
10
00
10
00
00
11
00
00
10
00
10
11
10
11
00
10
10
01
00
11
10
00
00
10
11
10
01
00
10
11
10
00
10
00
00
11
10
00
00
00
10
00
00
01
11
10
01
10
01
00
11
11
00
00
11
00
10
10
10
11
01
00
10
00
00
10
00
00
10
00
00
00
10
01
11
00
00
01
10
00
00
10
01
00
11
10
00
10
00
01
10
10
00
11
10
10
11
01
00
00
11
10
00
11
01
01
10
10
00
11
10
00
10
01
11
00
00
00
10
00
00
10
00
10
10
00
10
00
01
01
10
00
11
01
01
00
10
10
00
11
01
00
10
10
00
00
00
11
11
00
00
00
10
10
11
11
00
01
00
10
00
11
10
00
00
01
00
01
00
10
00
00
01
01
00
10
10
11
10
10
10
01
01
11
00
10
00
01
10
10
11
00
11
11
00
11
00
00
00
00
01
10
10
01
00
10
11
01
11
00
00
10
10
01
11
10
00
01
10
00
00
10
10
00
10
10
00
01
01
01
01
01
11
11
00
10
01
11
10
00
11
00
00
01
00
10
10
00
10
11
11
10
10
10
01
10
00
00
11
01
10
11
00
10
01
01
10
10
00
00
10
10
00
01
10
11
01
10
00
10
10
10
00
00
11
11
00
10
10
00
00
00
10
11
10
00
00
11
10
00
00
01
10
10
01
01
00
00
10
10
11
00
01
10
11
10
11
10
01
00
10
10
01
00
10
11
00
00
11
01
10
10
10
11
10
10
00
01
10
00
10
11
10
00
01
00
10
10
01
10
00
01
10
10
00
11
11
11
10
00
11
10
11
01
00
10
10
01
00
11
11
00
01
00
00
10
01
11
10
00
00
11
10
00
10
00
10
00
01
11
00
00
00
10
01
01
11
00
00
11
10
00
10
00
00
11
10
10
00
00
11
10
01
10
10
10
00
00
11
10
00
01
00
10
10
10
10
10
00
00
10
11
00
00
10
10
10
11
10
00
11
11
10
11
00
10
00
00
00
00
11
10
00
00
00
01
10
01
00
11
10
01
00
11
10
00
00
11
00
00
01
01
01
10
01
10
10
00
01
10
10
01
00
10
01
10
10
11
00
00
10
01
00
11
10
11
10
00
11
11
00
00
11
10
00
01
00
00
00
01
00
00
10
00
01
11
10
10
00
00
00
01
00
00
10
00
01
10
01
10
10
00
10
10
01
10
10
00
10
10
10
01
10
11
00
11
10
00
01
11
00
10
01
00
00
00
11
00
11
10
01
10
11
00
00
10
11
10
01
10
10
10
00
00
01
00
11
00
00
10
00
10
11
00
00
01
10
01
00
00
11
00
01
10
10
00
00
11
10
11
00
00
00
11
10
10
00
00
10
10
10
00
01
10
11
10
00
00
10
00
10
11
00
10
01
00
00
00
00
11
11
01
10
10
10
10
00
00
01
10
10
00
10
00
00
10
00
11
00
11
01
10
00
10
11
01
10
10
00
01
10
01
00
10
11
01
10
11
00
00
01
00
01
00
01
10
01
10
10
00
00
00
00
00
10
00
01
11
11
10
10
00
00
00
11
11
00
10
01
01
10
00
10
10
00
01
10
00
00
01
11
10
00
10
10
11
00
10
00
00
10
11
10
00
10
10
01
10
00
00
10
01
11
10
01
00
10
11
00
01
10
00
10
10
00
10
00
00
00
01
00
11
10
10
10
10
01
00
00
10
10
11
00
00
11
00
00
01
00
11
01
11
11
00
10
00
11
00
00
10
10
01
00
00
10
01
01
11
10
11
10
11
00
11
00
10
10
00
10
01
10
10
10
00
10
10
11
10
10
00
01
01
01
01
00
10
11
10
00
00
10
10
10
00
00
11
10
01
00
01
11
10
00
00
10
11
10
00
01
10
10
01
01
11
01
11
01
01
10
10
10
11
00
01
11
01
10
10
01
11
10
00
10
10
01
00
11
00
01
01
00
11
00
00
11
11
11
00
01
10
11
00
10
10
00
00
11
11
01
01
11
10
01
00
00
10
10
00
00
00
10
10
00
00
11
10
11
10
01
10
11
11
00
00
10
00
10
01
01
00
11
11
10
10
01
11
00
10
10
10
00
00
00
10
00
01
10
10
10
10
01
10
01
01
00
10
00
00
00
00
10
00
11
01
01
10
00
01
01
10
00
00
10
10
00
00
01
11
10
11
01
11
00
11
10
00
10
00
00
10
01
01
10
10
10
00
01
01
10
01
00
10
11
11
10
01
10
00
11
01
11
01
10
10
10
01
10
10
10
11
10
00
10
01
00
10
11
01
11
00
00
10
00
11
10
00
01
10
11
00
10
01
00
10
10
11
00
11
00
00
11
10
00
10
11
10
10
00
10
01
01
10
00
10
01
01
11
11
00
00
01
11
00
00
10
11
00
00
10
10
01
01
10
10
00
00
01
00
00
10
11
00
10
11
00
10
00
01
10
01
01
10
11
00
10
00
10
11
00
11
10
01
00
00
10
10
10
01
10
11
11
01
10
10
01
01
01
11
11
11
10
10
00
00
11
00
10
00
11
01
00
11
00
11
10
00
11
00
00
11
10
00
00
10
10
00
10
10
00
10
11
11
00
01
10
10
00
10
10
01
10
11
00
10
00
11
11
00
11
00
10
00
11
11
00
00
11
00
01
11
00
10
01
10
10
10
00
10
10
00
10
10
00
11
10
10
10
00
00
00
10
10
01
10
00
01
11
10
00
01
10
01
10
00
10
00
00
00
10
11
10
00
00
10
00
00
10
01
11
10
11
00
00
11
00
00
10
10
01
11
11
10
11
00
11
11
10
00
01
11
11
00
00
10
00
10
11
00
01
00
00
00
10
00
11
10
00
11
00
00
10
10
01
10
10
00
10
00
01
11
00
00
10
00
11
00
10
10
11
10
01
01
10
00
10
10
00
10
10
11
10
01
10
10
00
10
10
00
10
11
00
00
00
10
00
01
10
00
10
00
01
00
10
10
00
10
10
11
11
11
00
11
00
11
00
00
00
10
01
01
01
10
10
00
10
00
00
10
11
01
01
00
10
00
00
01
01
00
10
10
11
10
00
00
11
01
01
10
10
10
00
01
10
00
10
00
00
10
10
11
10
10
10
00
10
11
01
10
01
00
00
11
00
00
10
10
01
10
10
00
01
10
00
11
11
11
00
10
10
00
01
00
10
11
10
00
00
10
00
11
00
01
10
00
01
11
10
10
00
00
01
10
10
11
00
10
00
10
01
00
00
11
10
00
00
11
11
11
10
11
10
01
11
10
11
00
10
10
11
01
00
01
10
10
11
00
00
11
01
11
10
00
00
01
00
00
10
10
11
10
10
11
00
11
10
00
01
10
11
10
10
00
00
10
10
10
00
10
01
11
10
00
10
10
10
01
01
10
10
00
00
11
10
00
01
10
00
00
00
11
00
11
10
10
00
10
00
01
10
10
10
00
00
11
00
01
10
00
10
01
01
10
01
11
00
00
00
00
00
00
10
11
01
01
01
10
10
00
01
10
11
00
01
10
11
11
00
01
10
10
10
00
00
10
11
11
00
10
11
11
11
01
10
10
01
11
00
00
10
00
00
10
00
10
00
10
01
10
10
10
00
11
00
11
11
00
00
01
01
00
00
10
01
01
10
00
00
10
10
10
10
00
01
11
00
00
10
00
00
00
11
11
01
00
00
11
10
00
01
00
10
00
10
10
10
10
00
10
11
00
10
00
00
10
00
00
01
10
10
11
10
00
01
00
00
10
11
10
11
11
00
11
00
10
10
10
00
01
00
11
10
10
00
10
00
10
11
00
11
10
11
00
01
11
10
00
00
11
00
00
10
10
10
10
00
10
10
10
00
11
01
11
01
11
00
11
00
00
11
11
00
01
00
11
10
01
00
01
01
11
00
00
00
00
10
11
01
10
10
00
10
00
00
11
11
00
00
10
10
10
10
10
01
00
10
01
00
10
01
01
00
00
11
10
10
00
00
00
11
11
00
01
10
11
11
10
11
11
00
00
00
00
10
10
00
00
10
00
11
00
11
01
00
10
00
00
00
01
10
10
01
11
10
01
01
10
01
00
10
00
00
10
10
11
00
10
00
01
11
10
00
01
10
10
10
00
10
01
01
00
10
10
00
01
10
11
10
00
00
01
10
10
00
00
00
11
01
10
10
11
10
10
00
00
11
00
01
01
10
10
01
11
10
10
00
10
11
10
10
00
00
01
00
01
10
10
10
11
10
00
01
10
00
00
11
10
10
10
11
00
00
00
10
00
11
00
00
11
00
00
00
00
01
10
10
10
11
01
00
10
01
00
11
00
10
01
00
10
10
11
01
11
00
00
01
11
01
01
10
10
00
10
01
10
10
00
00
11
10
01
11
01
01
01
01
00
00
11
10
00
10
00
10
00
11
11
01
00
01
10
11
10
10
01
00
01
01
11
10
11
00
11
10
10
10
10
10
00
10
10
00
11
00
11
10
00
01
01
00
01
00
10
10
10
10
10
10
00
10
10
00
01
11
01
00
00
00
11
00
10
11
01
01
10
11
00
00
10
11
00
00
11
11
10
01
01
11
11
01
01
10
00
00
01
10
10
00
10
00
00
11
00
00
10
00
10
00
00
01
11
00
00
11
11
11
10
10
01
01
01
01
10
10
10
00
10
01
00
11
11
01
11
00
00
10
00
00
11
10
10
11
00
00
00
10
11
00
10
10
11
01
00
00
10
10
10
00
00
10
10
10
01
00
01
00
10
00
10
00
00
10
01
01
00
00
10
11
11
01
11
11
11
01
00
01
00
00
01
00
11
11
10
01
10
10
00
00
00
11
00
00
10
10
00
00
10
10
00
10
10
10
01
11
10
10
00
10
11
00
00
00
01
00
10
00
11
10
00
10
11
01
11
11
10
01
01
01
00
10
10
11
00
01
01
10
10
10
00
10
11
00
10
10
00
10
10
00
00
10
10
01
11
00
10
01
00
10
01
11
11
11
00
10
10
00
10
10
00
00
01
10
00
00
10
10
10
00
00
11
11
01
00
10
00
00
10
10
00
10
01
00
11
00
10
10
00
01
10
00
00
00
10
10
10
10
00
00
10
00
11
11
00
10
10
01
01
11
01
00
10
00
00
00
10
10
10
00
01
11
00
00
00
00
10
11
10
00
00
01
00
01
10
11
01
10
00
10
10
01
10
11
10
01
00
00
11
10
00
00
00
11
01
10
11
00
10
10
11
00
01
11
00
10
01
11
00
11
10
11
00
10
10
10
11
00
01
10
00
10
10
00
10
00
01
10
00
10
00
10
10
10
10
11
00
11
10
10
00
00
00
10
10
00
11
00
01
10
11
00
10
10
01
11
11
00
10
01
01
10
10
10
01
01
00
00
10
00
10
11
10
11
01
00
00
10
00
01
10
00
01
10
11
00
11
10
11
11
00
10
11
01
00
10
10
10
10
11
01
00
01
00
10
00
11
10
11
11
00
00
10
11
10
01
01
10
01
00
11
10
11
00
01
10
11
00
10
00
01
10
01
00
10
10
00
00
11
10
00
11
10
01
10
10
10
00
11
01
11
10
00
01
00
00
01
11
10
00
00
00
10
00
00
10
00
00
00
00
10
01
11
00
10
11
01
00
10
01
10
00
00
11
01
01
00
11
10
01
11
11
11
00
01
10
11
00
10
10
10
01
10
00
10
01
00
00
10
11
00
00
10
10
10
01
10
01
00
00
11
01
11
10
00
00
10
00
10
11
01
00
11
00
00
10
10
01
11
01
00
11
01
01
01
00
00
10
10
01
00
10
10
00
11
00
01
10
01
00
10
01
01
10
00
00
11
01
00
10
10
00
10
10
11
11
00
00
00
10
10
10
00
00
01
10
10
00
10
11
10
10
00
01
10
10
10
01
10
10
00
10
01
10
10
10
10
10
10
00
01
10
11
11
10
10
00
11
00
01
10
00
10
01
01
10
00
01
10
00
00
01
10
01
10
10
00
10
10
00
11
10
00
01
10
00
00
00
10
11
00
01
00
10
00
00
10
10
00
10
00
00
00
00
00
00
11
00
10
10
00
11
10
11
00
11
00
00
10
10
10
11
00
00
11
10
00
01
11
11
00
01
11
10
01
00
00
01
11
11
10
00
01
10
10
00
10
10
11
01
01
00
10
00
00
00
11
10
10
00
01
00
10
11
01
01
11
01
00
10
10
11
10
10
10
10
01
01
11
10
01
00
10
11
00
00
10
10
00
00
10
00
11
10
10
11
00
01
10
00
00
10
00
00
10
10
11
01
10
01
00
10
10
10
00
11
01
00
00
10
10
01
10
11
11
10
10
11
01
00
11
10
00
00
10
10
11
11
00
00
01
00
00
00
10
10
10
10
00
01
00
01
11
11
00
01
10
11
10
10
00
10
10
00
00
10
00
11
10
11
10
11
10
11
00
01
11
10
10
00
10
11
11
10
01
10
10
11
10
00
00
10
10
00
00
00
10
01
10
00
00
10
01
00
00
01
11
00
11
10
01
00
00
01
01
01
10
11
00
10
00
00
01
10
10
00
01
00
11
01
10
10
10
00
00
10
10
01
00
11
11
01
01
11
01
00
11
01
11
10
00
01
11
10
01
01
11
01
10
00
00
00
10
10
01
01
00
00
10
00
10
10
00
01
10
01
00
00
10
10
00
11
11
01
00
00
10
10
11
01
10
10
01
00
00
00
10
00
11
10
00
10
01
10
01
10
00
10
11
10
11
01
00
10
10
00
01
00
11
10
00
00
00
11
11
00
00
10
01
01
00
00
00
10
00
11
10
10
10
00
01
00
00
01
01
11
01
00
10
11
00
10
00
00
10
01
01
10
10
00
10
10
00
00
01
11
01
11
10
00
10
00
10
10
10
01
00
10
10
10
00
00
00
00
10
01
01
00
10
10
00
01
10
00
11
10
11
11
00
01
00
00
00
11
10
00
01
10
10
00
01
10
00
01
11
10
01
00
11
10
10
10
00
10
11
00
01
01
10
10
00
00
10
01
00
00
10
00
00
10
10
11
00
10
00
10
10
01
10
00
01
00
11
10
00
11
00
00
10
10
01
00
11
10
00
11
00
00
10
00
01
00
00
01
10
11
11
01
00
01
10
10
01
00
10
10
00
00
11
10
10
00
10
00
10
10
00
01
10
00
10
01
10
00
01
00
11
01
10
01
00
10
11
10
00
11
00
00
11
00
10
10
10
10
01
00
00
00
11
10
10
01
01
11
10
10
10
10
00
00
01
11
11
00
10
01
10
00
01
00
10
00
01
10
10
10
01
00
01
00
10
00
10
10
11
00
00
00
10
10
10
01
10
01
10
00
01
01
00
00
10
11
10
10
10
10
10
00
00
01
10
10
10
00
11
01
00
10
01
00
10
00
01
01
00
10
11
01
11
10
10
01
10
00
01
10
11
01
10
00
01
00
10
10
01
01
10
01
11
10
01
10
01
10
11
00
01
01
01
01
10
10
00
00
11
10
10
01
00
10
00
01
00
11
11
00
01
10
00
10
10
00
00
01
11
10
11
10
00
00
00
00
10
10
10
10
00
11
00
00
00
00
11
00
11
10
10
11
00
10
11
10
00
10
00
00
10
01
10
01
10
11
01
11
10
10
10
01
00
00
10
10
10
01
10
00
01
00
00
11
00
11
10
10
10
10
00
01
10
10
00
00
10
01
10
01
11
00
00
11
10
10
01
01
10
10
00
11
00
01
00
11
10
10
10
10
10
01
10
00
10
01
00
00
11
10
10
10
01
00
00
11
10
10
00
00
11
10
01
11
00
01
00
00
11
10
01
00
10
11
00
10
10
01
00
00
00
10
10
00
00
10
01
00
00
10
00
10
11
10
00
01
11
00
11
01
10
01
00
10
00
01
00
10
10
01
01
10
11
00
00
10
00
01
11
10
01
10
00
01
01
00
00
00
10
01
10
10
00
01
10
11
00
10
10
00
10
10
01
00
10
10
10
10
00
10
10
10
01
01
01
00
00
10
10
00
10
10
00
10
10
10
00
01
00
10
10
10
01
10
10
00
00
11
01
01
10
11
00
00
11
11
01
10
10
01
01
10
10
01
00
10
10
00
00
00
11
01
10
00
01
10
10
00
00
11
11
11
00
00
10
11
00
10
10
00
00
10
00
00
10
11
11
01
10
00
11
01
00
00
00
11
00
00
10
10
11
10
11
00
01
10
10
10
10
11
10
11
00
01
11
00
00
11
00
00
00
00
10
10
10
10
00
01
01
11
00
00
00
10
10
00
10
11
10
00
00
00
01
00
00
10
10
01
01
01
10
10
00
00
11
01
10
00
11
00
10
00
01
01
10
00
11
10
00
11
11
00
00
10
01
10
01
10
10
01
10
11
00
10
00
00
10
10
10
01
00
00
00
10
10
00
00
10
11
01
10
10
10
01
01
10
01
01
10
01
00
10
11
01
10
11
00
00
00
01
00
00
00
00
10
10
00
10
01
10
00
11
10
11
00
00
10
00
01
10
11
10
01
00
00
01
00
00
00
10
10
01
11
00
01
10
00
10
01
01
10
00
00
10
10
00
00
11
00
00
01
00
11
00
01
10
00
10
00
11
11
11
00
10
10
00
11
11
00
00
01
10
10
10
11
01
11
11
10
00
00
00
00
11
01
00
00
10
11
01
00
10
10
10
00
10
10
00
11
00
00
10
01
10
00
10
10
00
00
00
10
10
11
00
00
00
10
00
00
10
01
00
01
11
00
10
01
10
10
10
10
00
00
00
01
10
11
11
11
00
10
00
00
00
11
00
10
11
01
01
11
00
00
00
00
10
01
00
11
00
00
00
00
11
10
11
00
10
10
01
01
10
11
00
11
11
00
11
00
01
00
01
10
10
00
00
00
11
10
10
00
00
10
11
00
01
00
01
01
00
00
10
10
01
10
10
00
10
10
10
00
00
01
11
01
10
10
10
10
11
11
01
00
10
01
10
10
01
01
10
10
01
00
00
10
00
00
01
10
11
00
01
00
01
11
00
01
10
00
11
11
00
00
10
11
01
10
01
10
11
00
00
01
00
00
11
00
10
00
01
01
11
00
00
10
10
11
01
00
10
11
10
01
11
00
01
01
00
10
10
00
11
00
00
10
01
00
01
10
00
00
11
00
00
10
10
00
01
00
00
01
10
11
00
00
10
00
01
10
10
00
11
10
01
00
10
10
01
10
00
10
11
01
10
00
10
10
00
10
10
11
00
00
00
00
11
01
00
00
01
11
00
00
00
10
10
10
10
00
00
00
10
10
00
00
10
00
10
11
01
10
01
10
00
00
11
10
00
10
10
11
10
00
00
00
10
11
11
00
11
01
01
11
11
01
11
00
01
11
10
00
00
10
10
00
01
00
01
11
00
00
00
10
10
10
00
10
11
01
11
00
01
10
10
10
00
00
00
11
10
00
00
10
00
00
10
10
10
01
10
11
11
00
00
01
01
00
10
00
00
10
11
00
00
10
00
01
10
10
10
00
10
00
11
00
11
10
00
10
01
10
10
11
00
00
00
11
00
11
00
00
10
00
01
10
11
00
00
01
00
10
10
11
00
01
10
10
00
00
10
11
00
11
00
11
01
10
01
11
10
01
00
11
00
10
10
00
00
00
01
11
00
00
00
11
00
00
00
10
00
11
00
01
11
01
10
11
11
00
01
10
10
00
00
01
10
00
00
10
10
11
00
00
10
01
00
10
00
11
01
00
11
10
01
10
11
01
11
10
01
01
11
11
01
00
10
11
01
01
10
00
00
10
10
00
11
10
10
00
00
10
10
00
00
10
10
01
00
00
10
11
10
01
01
00
11
10
10
01
00
11
01
10
11
10
00
01
00
11
01
10
10
01
00
10
01
00
11
10
00
00
00
10
10
00
10
11
10
01
00
10
00
11
11
00
01
11
10
00
00
00
00
10
11
00
00
11
10
00
00
10
11
10
01
00
10
10
00
10
01
10
10
10
00
00
01
10
11
00
10
00
00
10
10
01
00
10
10
10
10
10
10
10
00
00
10
00
10
10
10
10
00
00
01
10
10
11
11
10
11
10
10
10
10
00
00
00
10
00
00
00
00
10
10
10
10
10
01
00
00
10
10
01
10
00
01
10
10
10
00
10
10
00
01
10
00
01
00
10
01
10
11
10
11
01
11
01
11
01
00
10
00
11
10
01
11
00
00
10
00
10
11
00
00
11
11
00
10
01
00
10
00
00
10
10
00
11
10
00
00
01
10
00
01
11
01
10
01
00
11
10
10
00
00
10
10
10
10
11
00
00
01
10
00
10
10
01
00
11
00
00
11
11
00
00
00
10
10
11
00
11
10
00
00
00
10
00
01
10
01
10
10
00
00
10
10
10
01
00
10
01
00
00
00
00
10
10
10
00
10
00
10
10
00
10
00
00
10
10
10
11
00
10
00
11
10
10
10
00
11
00
11
00
00
10
11
10
10
01
00
00
10
10
00
10
00
00
10
00
11
10
11
01
11
10
00
00
01
10
00
01
10
00
00
00
11
00
00
10
10
10
11
11
00
00
10
00
01
10
11
10
10
11
00
01
01
00
01
10
10
11
10
10
00
00
11
01
11
00
01
10
11
00
10
10
00
11
11
10
01
01
11
00
00
00
00
10
10
00
00
00
00
11
11
11
00
10
00
11
10
01
11
11
00
00
00
10
00
11
11
00
01
11
00
11
00
00
10
10
10
10
01
00
00
10
00
01
10
00
11
10
01
10
11
00
01
10
10
11
01
00
01
11
10
00
00
11
00
00
10
00
10
01
01
10
10
00
11
00
10
00
00
10
11
10
00
11
00
10
10
01
11
11
01
00
00
00
00
11
01
00
11
00
00
00
01
11
10
10
01
10
10
10
00
00
10
10
11
11
11
01
11
11
00
01
10
11
01
00
00
00
00
10
10
00
01
10
11
10
10
00
00
10
00
01
11
10
11
00
11
01
00
10
10
10
00
01
10
10
00
10
01
10
10
00
10
10
10
00
00
01
11
01
10
00
00
10
00
00
00
10
00
01
11
10
00
00
10
01
10
10
10
00
01
10
00
10
10
10
01
00
10
00
00
00
00
10
00
00
01
11
10
00
01
10
01
10
11
00
00
11
00
11
01
10
10
01
10
00
01
11
11
10
10
01
01
10
00
00
10
11
00
00
11
01
00
00
01
11
10
01
00
10
00
10
00
00
11
11
00
00
01
10
11
01
00
10
10
00
01
01
11
01
01
10
10
00
11
00
01
10
10
10
00
10
00
01
01
10
11
10
00
11
10
00
01
10
10
00
00
11
10
11
00
11
00
01
01
00
00
10
10
10
00
01
01
00
10
10
01
10
11
00
10
00
11
01
01
00
10
10
00
00
00
01
11
11
01
11
01
10
01
10
01
00
00
10
10
00
10
10
00
01
01
10
10
10
00
10
00
10
11
00
11
00
00
10
00
00
00
10
10
00
10
11
00
00
10
00
00
00
01
10
00
00
10
00
00
01
01
11
11
10
10
10
01
10
11
01
10
10
01
10
10
00
00
11
00
00
11
10
00
10
11
00
11
10
00
11
00
10
10
10
00
00
00
00
00
10
01
00
00
00
10
01
00
11
11
01
01
01
10
01
01
10
00
00
10
11
00
00
10
10
00
01
11
10
10
01
11
00
11
10
11
00
10
00
10
01
11
11
01
11
01
00
00
00
00
01
00
10
10
00
10
00
10
11
00
10
00
10
11
00
00
00
11
11
11
00
00
00
10
11
00
00
11
10
00
10
10
11
00
11
10
00
00
10
00
00
01
10
10
00
11
11
10
10
10
00
00
01
00
11
10
10
00
10
10
00
00
11
10
00
11
00
10
00
11
10
01
00
00
10
01
00
10
00
00
00
00
00
10
10
10
00
10
10
11
01
11
00
00
00
10
10
11
00
01
10
10
10
00
10
11
00
01
11
10
00
10
00
00
00
10
11
10
00
11
00
01
10
10
00
00
01
00
00
11
00
11
10
00
10
01
10
10
11
00
11
00
10
01
10
10
11
10
00
00
01
10
01
01
01
10
00
00
01
11
11
00
00
01
00
10
11
10
00
10
10
00
01
01
00
10
10
00
11
10
11
01
01
11
10
01
11
00
10
01
01
11
00
10
00
01
01
00
10
10
01
00
11
00
11
10
00
11
10
00
10
10
00
10
10
00
00
11
01
10
10
00
01
01
11
10
00
00
10
10
00
00
11
10
10
01
00
00
11
10
11
00
01
11
01
11
00
10
10
11
00
11
01
00
01
10
10
10
10
00
00
01
10
00
01
00
01
10
00
10
10
00
01
11
00
01
00
10
11
00
11
01
01
11
10
00
00
11
10
00
01
11
11
00
10
00
00
10
11
11
01
01
10
11
00
01
01
10
10
00
10
00
10
00
11
11
00
00
00
10
11
00
00
00
11
01
10
01
01
10
00
11
10
00
00
10
11
10
10
01
10
10
11
10
00
00
10
10
00
00
11
10
11
10
10
00
00
11
00
11
10
01
10
10
01
10
00
00
01
10
01
00
10
10
10
01
00
00
01
01
00
00
10
10
00
10
11
01
11
10
10
01
01
10
11
00
01
10
10
10
00
01
11
00
00
01
00
00
10
00
11
00
00
10
11
10
00
11
11
01
10
10
10
10
10
01
00
01
10
11
10
10
01
10
10
01
11
10
11
10
00
11
00
10
11
10
00
01
00
00
00
00
10
10
10
01
00
11
10
10
10
00
01
10
11
01
00
10
00
01
00
00
10
11
00
00
00
10
00
11
01
11
01
00
01
01
10
10
00
00
11
10
01
00
01
10
11
10
10
01
11
11
00
01
10
10
11
00
01
10
00
00
10
00
00
11
10
10
00
10
00
10
01
00
01
10
10
00
11
00
00
00
10
00
10
10
00
01
11
10
11
10
00
10
01
10
10
00
00
01
01
10
10
01
00
01
10
10
10
01
11
00
00
10
00
10
10
11
11
00
01
11
10
11
01
00
10
00
00
00
01
00
11
10
10
00
00
10
01
01
01
10
10
10
00
11
10
10
00
00
11
01
10
00
10
00
10
00
01
10
00
10
00
00
01
10
00
10
00
10
00
01
01
01
10
00
00
10
01
01
10
10
00
00
00
10
10
11
01
00
10
10
11
11
00
01
10
00
11
11
01
00
11
00
10
11
01
00
11
00
00
11
10
00
10
10
00
00
10
00
00
00
00
01
01
01
10
10
00
11
10
11
10
00
00
00
00
00
11
10
10
01
01
00
10
00
11
00
00
00
01
01
00
11
00
00
00
00
10
00
11
10
00
01
10
10
00
01
10
10
01
10
00
10
00
00
00
11
11
10
00
10
10
01
00
10
00
00
10
10
00
10
10
01
11
11
00
10
10
10
01
10
00
00
10
10
10
00
01
10
10
10
00
01
10
10
01
00
10
00
10
11
01
11
10
11
10
10
11
01
00
10
11
11
11
11
00
10
11
10
00
00
00
11
00
00
11
11
10
11
00
10
00
00
00
00
11
10
00
00
10
10
00
00
11
10
00
10
01
10
00
01
10
00
00
01
10
10
10
01
01
00
00
00
10
10
01
01
11
10
00
01
00
10
00
10
11
00
00
00
00
00
10
10
01
00
10
10
10
10
00
00
00
11
11
11
10
11
01
10
00
00
10
00
10
10
01
10
10
00
00
10
00
00
01
01
11
11
00
11
00
10
00
10
00
01
10
11
01
00
10
11
00
00
00
10
10
00
10
00
00
01
10
00
00
00
10
10
11
00
10
10
00
01
01
00
11
10
11
11
01
11
01
01
10
00
00
10
11
00
10
11
11
10
00
00
00
10
10
00
10
01
11
10
00
00
10
10
11
00
00
10
11
11
10
01
00
11
00
11
00
01
00
10
00
00
10
10
01
00
11
11
01
00
10
10
00
01
10
10
10
00
11
11
00
10
11
01
01
11
10
01
00
10
00
01
10
00
00
11
00
00
00
10
01
10
01
10
10
01
10
00
00
00
11
00
00
01
10
00
01
10
00
10
00
00
11
10
10
11
01
10
01
11
11
00
01
01
01
00
10
11
11
10
11
10
11
01
00
01
00
01
11
11
11
01
10
01
10
11
01
11
11
01
00
11
00
00
10
00
01
10
00
01
01
01
01
00
11
00
00
10
00
00
10
01
00
11
11
10
10
10
00
00
10
00
11
10
00
00
00
01
00
00
00
01
11
10
10
10
10
10
10
01
11
00
11
10
10
01
00
00
00
10
00
10
11
10
00
00
00
10
00
00
10
01
10
10
01
01
01
00
10
00
10
11
11
00
11
00
10
10
00
10
11
10
00
00
10
01
01
11
10
01
01
00
10
11
01
11
01
01
00
11
10
10
11
01
00
10
01
00
01
00
00
00
11
10
10
10
01
00
01
00
10
00
10
10
00
00
10
10
10
00
00
00
10
10
10
00
11
00
11
00
00
10
00
10
00
00
10
01
00
11
10
11
00
00
00
10
00
10
10
01
10
00
00
10
00
00
10
00
11
11
00
00
00
00
10
10
00
01
10
00
01
00
00
11
00
10
10
10
10
01
00
00
01
10
11
00
01
00
00
01
11
10
00
11
10
00
01
11
11
10
01
11
00
00
10
00
00
00
10
10
00
00
10
10
00
01
10
00
00
11
11
00
00
01
11
00
11
10
01
00
10
00
00
10
10
11
01
00
01
00
10
11
10
01
10
11
01
01
00
00
10
00
01
01
11
10
00
10
10
01
00
01
11
00
01
00
11
00
01
00
10
10
01
00
11
10
01
00
10
00
01
00
10
11
10
00
10
10
00
00
00
10
00
00
10
10
10
10
11
00
00
11
00
11
00
00
01
01
10
01
00
11
00
01
11
11
10
00
00
10
01
01
00
10
00
10
11
11
00
01
11
00
00
10
11
00
00
10
11
00
00
01
00
10
01
10
11
00
00
00
10
00
00
10
11
00
01
11
00
00
01
10
01
11
10
10
00
10
00
10
11
10
00
10
10
01
00
10
10
00
00
11
00
00
10
00
00
10
11
10
00
10
01
00
00
00
00
10
10
00
00
00
10
10
00
10
00
10
10
11
10
00
01
11
10
10
10
00
10
10
11
10
10
10
01
00
10
01
11
01
01
10
00
10
01
01
11
11
00
10
01
00
01
11
10
00
01
10
00
01
11
10
01
00
00
00
10
10
10
10
11
00
00
10
10
00
01
10
11
00
11
10
11
10
00
11
00
00
11
00
00
00
10
10
01
11
01
10
10
10
00
10
01
01
10
10
10
10
00
01
00
10
11
10
10
10
00
11
10
00
00
00
00
00
10
00
00
00
11
11
00
00
00
00
00
00
11
11
11
10
00
00
00
11
10
01
01
10
11
10
10
00
10
11
00
00
10
10
00
11
10
00
11
00
01
11
11
01
11
10
10
00
00
10
11
00
10
11
00
01
10
10
00
10
10
10
10
00
01
00
10
10
00
01
00
10
11
11
01
01
10
01
10
00
00
10
00
01
11
10
10
10
00
00
10
10
00
00
01
01
00
00
01
01
01
11
00
00
10
00
11
00
00
10
11
00
10
10
00
11
10
00
00
10
10
10
10
00
10
11
10
10
10
10
01
01
10
00
01
00
00
01
00
11
10
00
00
11
00
01
00
11
11
00
10
10
00
00
00
10
10
10
00
00
10
10
01
00
11
10
10
00
01
10
10
10
01
11
10
00
00
10
00
00
10
10
01
10
00
10
00
01
01
00
10
11
00
10
11
00
01
00
11
10
11
10
01
11
10
11
00
00
10
10
00
00
00
10
10
11
10
10
10
01
00
10
10
00
10
00
10
10
01
00
10
00
10
00
01
00
11
10
01
00
00
00
11
11
00
11
10
01
00
01
00
11
00
01
01
11
10
00
00
11
00
10
11
00
00
10
10
01
01
01
11
10
11
01
01
00
10
01
10
11
00
00
10
10
00
01
11
00
10
00
11
01
00
11
10
01
10
11
00
01
11
10
10
00
11
10
10
00
11
10
01
11
00
00
10
00
00
00
10
10
10
10
11
01
01
00
10
10
11
00
00
11
10
01
10
10
10
01
01
00
10
10
00
01
10
10
10
01
10
00
00
10
11
01
01
01
01
00
10
00
10
00
00
10
10
01
00
10
01
10
10
10
10
00
01
11
00
00
10
10
00
10
11
01
11
01
10
00
01
10
00
00
11
01
00
10
11
11
01
10
11
10
10
10
01
01
10
11
00
00
00
10
10
00
11
10
11
10
10
10
01
01
10
00
01
10
00
00
10
00
00
11
11
00
01
00
10
00
00
10
00
11
10
10
10
11
01
00
10
01
10
10
01
10
10
00
11
10
00
00
01
00
10
00
01
10
00
11
00
00
10
10
11
10
01
00
10
11
10
00
01
00
11
01
00
00
00
00
10
01
00
00
10
00
01
10
00
10
10
00
11
11
10
01
00
00
10
00
11
00
00
10
01
00
11
10
00
00
00
11
10
00
01
01
00
10
00
00
10
10
00
01
00
10
00
11
00
01
10
10
10
00
00
11
11
01
10
10
00
01
10
10
10
00
01
11
11
00
10
11
01
01
10
11
01
00
11
10
10
10
11
01
00
10
10
11
10
10
01
00
11
10
10
00
01
00
01
00
10
10
00
00
10
00
11
00
11
10
11
10
00
00
00
00
11
00
00
01
10
10
10
10
10
01
00
01
00
01
01
01
11
10
11
00
10
10
10
01
11
11
01
00
10
00
01
00
11
10
00
00
10
01
01
11
00
10
10
10
00
10
00
01
00
01
11
11
10
10
00
10
11
01
01
10
00
01
10
01
00
00
10
11
01
10
10
01
11
10
10
10
01
00
11
10
01
01
11
00
10
10
00
10
10
00
00
11
01
00
00
11
01
10
10
10
00
00
01
01
10
11
01
10
10
11
01
00
11
10
11
10
00
01
10
10
10
11
00
11
10
11
11
10
11
00
11
00
00
11
10
10
01
10
11
10
10
01
11
00
11
10
10
00
01
00
10
00
00
00
00
11
10
01
01
11
00
11
01
10
10
01
11
11
00
01
10
00
10
00
11
01
01
10
01
11
00
10
10
10
01
00
01
11
10
00
10
01
10
01
10
11
11
01
00
11
11
00
01
10
10
00
10
10
10
01
10
11
00
10
00
11
01
00
01
00
10
00
00
10
10
11
00
01
10
10
10
00
00
10
10
00
10
10
00
10
00
10
10
00
11
11
00
11
00
00
00
00
01
10
01
10
10
10
00
10
01
00
10
00
00
00
10
00
11
10
01
00
10
10
00
00
11
11
10
11
00
11
00
11
10
00
00
01
10
10
11
01
10
11
11
10
10
00
01
00
00
11
10
11
01
00
10
01
10
11
00
00
10
01
11
10
00
01
10
11
01
11
00
11
10
00
01
10
11
01
00
10
01
01
00
00
10
10
00
00
00
10
01
00
00
00
10
10
10
00
10
01
00
00
00
00
10
00
01
10
01
10
01
10
10
10
10
00
01
10
10
11
11
00
00
10
00
00
10
11
10
10
00
00
10
11
10
10
00
00
10
10
01
11
11
00
01
11
00
01
00
00
11
11
10
00
10
10
10
10
00
00
10
10
10
00
10
10
00
01
00
00
11
00
01
01
10
11
10
11
01
11
11
00
10
10
10
10
01
00
10
10
00
00
10
11
10
00
00
11
11
10
01
10
01
00
01
01
00
11
10
10
10
00
01
00
01
10
01
00
10
10
10
00
00
11
11
01
10
00
01
10
11
11
00
10
10
00
10
10
00
01
01
10
00
10
11
00
00
01
11
10
00
10
00
01
00
01
10
00
00
00
10
11
11
00
10
11
10
11
00
00
01
00
11
10
10
00
10
11
00
10
01
11
10
00
01
01
11
10
00
10
10
10
00
10
10
10
00
10
10
10
00
00
10
01
00
01
00
00
01
10
10
00
01
10
01
11
00
00
10
10
00
10
10
01
00
11
10
11
01
10
11
00
10
01
10
11
10
11
00
10
00
10
01
10
11
01
10
11
10
00
11
01
10
00
00
10
10
00
01
10
00
00
10
11
10
00
00
11
00
11
00
10
00
00
00
01
10
10
00
00
10
00
10
00
10
11
01
11
01
10
11
01
10
01
00
10
10
10
00
11
11
00
01
00
01
00
00
11
10
11
10
00
00
01
00
10
00
00
10
00
11
10
11
01
00
11
00
01
10
00
00
11
10
11
10
00
10
01
01
00
11
01
01
11
10
10
10
01
00
10
11
10
00
10
00
10
01
00
00
00
11
00
10
00
01
10
01
00
00
10
01
10
00
00
10
10
11
10
11
00
10
11
11
10
00
01
10
10
10
01
00
00
00
01
00
10
01
00
00
11
11
10
00
11
00
10
11
10
10
10
01
00
11
10
10
00
10
10
00
10
00
10
10
10
00
01
10
00
10
00
11
01
01
10
00
11
11
11
01
01
11
10
11
10
00
00
11
00
10
11
11
00
11
10
01
10
00
10
01
00
00
00
11
00
00
11
10
11
00
10
11
00
00
01
01
10
00
00
10
10
10
11
00
01
01
00
11
10
00
00
00
01
10
10
00
00
10
00
10
01
10
11
11
10
01
10
10
11
01
11
10
10
00
11
01
00
11
00
00
00
10
11
10
01
00
10
01
00
10
00
10
11
00
11
10
01
10
00
00
00
00
10
11
01
10
11
10
10
10
01
00
10
10
10
00
10
10
00
01
10
10
00
11
00
00
00
11
10
01
11
10
00
00
01
10
11
00
11
11
10
10
10
11
10
01
01
10
10
01
10
01
00
10
00
10
10
00
00
11
10
10
00
00
00
11
00
00
11
10
00
10
10
01
00
01
11
00
00
10
01
10
10
01
11
00
10
00
00
11
11
00
01
10
00
10
10
10
01
11
10
10
00
00
10
11
10
00
11
01
00
11
01
10
00
00
00
11
01
01
11
11
01
11
01
10
01
01
10
10
00
11
11
01
10
00
00
00
10
00
00
10
10
00
10
00
01
10
00
11
11
00
11
11
01
01
10
01
00
11
10
00
00
00
01
10
01
00
00
10
11
00
10
10
00
11
10
00
00
11
10
00
11
00
00
00
11
11
10
10
01
01
11
00
01
10
10
10
00
10
11
00
01
00
01
00
00
00
10
10
00
10
00
10
00
00
01
10
11
11
10
01
11
00
10
10
01
00
00
10
11
10
00
00
00
10
01
11
00
10
11
00
11
10
00
00
10
10
10
11
10
00
01
10
00
10
00
11
01
00
11
10
00
00
10
01
00
10
10
10
10
01
11
10
10
00
10
10
00
00
10
10
10
00
00
10
00
01
10
10
01
00
10
00
11
01
00
10
11
00
11
10
01
11
10
00
00
01
10
11
01
10
10
00
00
10
10
00
00
10
10
10
00
00
10
10
11
00
11
10
10
00
11
10
00
01
11
10
10
01
01
01
10
10
10
00
01
00
11
11
01
10
11
10
01
01
11
00
01
10
00
00
10
11
10
10
01
10
10
01
00
00
00
00
10
11
01
01
11
11
11
01
01
11
00
00
10
10
10
00
00
10
00
11
00
11
00
00
10
00
00
11
11
01
00
10
00
10
10
10
10
00
00
11
10
00
10
01
11
10
10
00
01
00
01
11
00
10
00
00
11
01
00
10
10
00
00
11
00
00
00
10
10
00
00
10
01
11
10
10
10
00
00
00
00
10
01
01
10
00
10
00
00
10
10
10
00
11
01
01
11
00
00
11
00
01
00
11
10
10
00
00
10
11
00
01
01
11
11
10
10
00
00
10
00
00
11
01
11
11
11
00
01
10
10
00
00
10
10
00
11
00
01
10
10
10
10
10
01
10
10
01
00
01
10
01
00
10
00
01
00
11
11
00
10
00
00
10
11
00
10
10
01
00
00
10
10
01
01
10
11
00
11
00
00
10
00
00
11
10
00
10
10
00
00
11
10
01
00
10
10
00
00
00
00
10
10
00
01
10
11
01
11
00
01
11
01
00
11
10
01
01
01
10
00
00
10
10
10
11
10
00
00
01
10
01
11
01
01
00
01
11
00
00
01
11
10
10
01
00
01
00
00
00
01
10
00
10
10
10
10
10
01
00
11
10
10
00
10
01
10
10
00
11
00
00
10
11
01
10
00
00
00
11
01
00
00
10
10
10
11
11
11
11
01
00
00
01
10
10
01
00
10
00
00
11
10
01
00
10
00
10
01
10
10
00
01
00
00
10
11
10
01
10
10
10
10
10
10
10
01
00
01
10
10
10
10
10
00
01
11
11
11
11
00
00
00
10
10
00
00
11
00
00
11
11
00
01
00
10
00
10
01
10
10
00
11
11
01
11
10
11
00
10
00
10
10
00
00
10
00
10
01
10
00
01
00
01
11
00
11
00
01
01
11
01
00
10
11
10
01
10
00
00
00
10
11
11
00
01
10
10
00
00
10
01
00
00
10
11
00
10
10
00
01
00
00
01
10
11
10
10
00
11
11
10
10
10
01
10
10
00
00
10
11
10
00
10
00
10
11
10
11
11
11
10
10
10
11
00
10
01
01
11
11
01
10
11
01
11
00
00
10
11
10
00
01
10
10
00
01
10
11
00
10
00
00
10
00
10
00
00
00
01
10
10
11
00
10
01
01
10
10
11
00
11
10
11
00
00
10
00
01
10
01
10
00
10
11
10
10
00
10
01
01
00
10
11
10
11
00
11
00
00
10
11
01
11
10
10
11
00
01
10
00
01
10
01
00
10
11
00
01
11
11
01
10
00
00
10
10
00
01
10
11
00
11
00
10
00
10
10
00
10
00
00
00
10
11
00
00
01
01
11
00
10
10
10
10
11
00
00
00
11
00
00
11
00
10
10
00
00
00
10
11
00
11
11
10
00
11
11
00
00
10
11
11
00
11
00
01
00
11
10
10
00
00
11
10
10
00
11
00
10
00
11
10
00
00
10
10
11
10
01
00
01
11
00
00
00
10
01
11
11
00
00
10
10
10
00
01
10
01
10
00
11
01
01
11
10
00
00
10
11
00
00
10
00
01
01
00
10
00
00
00
00
11
00
00
10
00
01
11
11
10
11
00
00
10
00
00
00
10
10
01
11
00
10
10
01
11
00
10
00
00
10
01
01
01
10
01
00
10
00
00
10
11
00
00
10
11
10
11
10
11
00
00
10
11
10
01
10
11
00
11
10
01
10
10
10
00
00
10
11
01
00
01
10
00
10
10
01
00
10
10
11
00
11
11
00
00
11
10
10
10
00
00
01
10
10
01
10
01
10
10
01
10
10
00
10
10
00
11
10
11
01
00
10
00
10
10
10
00
01
10
11
00
10
11
11
10
10
11
00
11
01
10
00
00
10
10
00
01
10
00
00
11
10
00
00
10
10
00
10
00
01
10
11
00
01
01
10
00
01
01
11
10
10
01
00
01
10
10
00
00
10
10
11
00
00
00
00
00
01
11
11
01
00
11
00
00
10
00
00
11
10
11
10
00
00
11
10
00
10
10
01
10
10
00
10
10
10
01
00
00
00
00
01
10
10
00
10
00
00
10
10
01
00
01
00
11
10
00
10
11
00
01
00
10
10
01
01
01
01
11
00
00
00
00
10
11
00
10
00
11
00
00
00
01
11
10
00
00
10
00
10
01
10
01
01
11
10
00
10
11
00
11
00
00
11
10
11
10
00
00
01
00
01
11
10
00
00
00
00
00
11
10
10
01
10
00
10
01
00
10
00
00
10
01
00
00
01
10
11
11
00
00
11
11
10
11
00
10
10
00
00
01
10
11
00
10
10
10
10
00
10
10
00
00
11
10
10
01
10
00
10
10
01
01
00
11
11
01
00
10
10
00
11
00
01
10
11
10
10
01
00
11
00
01
10
10
10
01
01
01
00
11
10
10
00
00
00
10
00
00
10
00
10
11
01
00
01
10
01
10
01
00
10
10
00
00
10
11
00
01
11
00
10
00
10
10
11
00
00
00
10
11
10
00
00
11
00
10
10
10
10
00
10
10
00
10
10
00
11
00
11
10
01
00
11
11
11
11
01
00
10
01
11
10
00
00
11
10
00
00
01
11
01
11
01
10
10
10
00
10
11
00
00
10
10
10
00
00
10
00
00
00
10
11
10
00
10
10
00
01
10
11
01
01
01
00
10
11
01
00
10
10
10
10
11
11
00
11
00
00
10
11
00
00
01
10
11
00
01
00
01
10
10
10
00
01
10
10
11
11
11
01
00
00
00
10
10
01
01
11
10
01
01
00
11
10
00
00
01
10
10
11
10
00
00
11
10
00
11
10
10
00
11
01
10
00
01
01
00
10
10
01
00
10
10
10
01
01
01
11
11
00
10
11
01
10
00
00
10
10
00
10
10
10
00
10
10
10
10
10
10
00
00
11
10
00
01
00
10
10
10
10
10
10
01
10
11
10
00
01
01
01
00
00
11
10
00
10
10
01
01
00
01
00
11
10
10
10
00
11
00
10
10
01
00
10
10
00
11
10
00
00
10
10
10
11
11
00
00
10
01
00
00
01
10
00
00
10
10
01
01
11
00
00
01
00
01
10
11
00
00
11
01
11
10
00
00
00
00
01
00
11
11
11
00
00
00
00
10
10
01
00
10
10
00
00
00
10
10
10
01
10
11
01
00
11
01
01
01
11
10
01
00
10
00
01
11
11
10
00
10
00
10
11
00
01
10
00
00
00
01
10
00
01
01
11
01
10
00
10
00
11
10
10
01
00
10
00
01
00
01
11
00
11
10
00
01
00
11
11
01
00
10
11
00
00
11
00
00
01
00
11
01
11
11
01
00
00
00
10
01
10
01
00
10
00
10
11
10
01
01
10
11
00
00
10
00
01
10
00
10
10
10
00
00
10
01
00
00
00
11
11
11
00
00
01
00
00
10
11
00
10
10
00
11
00
00
10
10
10
10
00
11
10
01
00
10
00
11
00
00
10
10
00
00
00
00
01
10
01
00
10
01
10
11
00
00
10
10
10
00
10
10
10
11
10
10
00
01
00
10
10
00
10
11
00
10
00
01
10
10
00
00
00
10
00
00
01
10
11
00
01
10
00
10
11
10
00
00
10
01
10
10
01
11
00
01
10
10
10
01
11
01
11
10
01
11
00
01
10
10
01
00
11
11
10
10
10
00
10
10
01
00
01
10
11
10
10
00
10
11
01
00
11
00
00
10
10
11
00
00
10
00
00
01
10
10
10
00
00
11
10
10
10
00
00
00
10
01
00
01
11
10
00
10
00
11
10
01
00
10
00
00
01
11
00
00
10
00
00
11
00
11
10
00
10
11
00
11
10
01
00
10
10
01
10
00
00
10
00
01
10
10
10
01
10
00
01
00
01
10
11
11
01
11
11
00
00
11
10
01
00
10
10
00
00
10
11
00
01
10
10
00
10
00
10
11
00
00
00
01
10
00
10
10
00
01
10
01
01
10
00
00
00
10
10
00
10
10
00
10
11
10
01
00
11
11
01
01
11
00
01
11
00
00
11
10
00
10
10
11
00
00
10
01
00
01
01
00
11
00
11
00
10
11
00
10
11
00
00
00
01
11
10
10
00
10
11
10
11
10
10
01
01
11
00
11
11
01
01
10
11
01
01
10
00
00
00
10
10
00
00
10
10
10
10
10
10
00
01
10
10
01
10
10
10
11
00
01
01
11
10
00
10
00
11
10
00
01
11
01
00
10
10
11
00
11
11
00
10
00
01
10
01
00
01
10
11
10
01
11
10
00
00
10
00
10
01
10
11
00
01
00
10
10
01
00
10
10
01
00
10
01
10
10
11
11
00
00
11
01
00
01
10
01
10
10
01
11
11
00
10
00
10
11
00
11
10
10
10
01
10
10
01
01
11
11
01
10
00
00
10
11
00
00
10
00
10
00
00
00
00
11
00
00
10
10
00
11
10
01
10
10
11
01
10
10
01
00
00
10
10
10
10
01
00
11
00
00
00
00
10
10
00
00
00
00
10
00
00
11
11
10
00
01
10
00
00
10
10
10
00
00
00
00
10
11
00
00
10
00
10
10
10
00
00
10
10
00
10
01
01
01
11
11
00
10
00
00
00
00
11
11
10
00
10
00
00
10
01
01
00
10
01
11
00
11
10
10
00
01
10
00
10
10
00
00
00
01
00
10
11
00
00
10
00
10
10
01
00
11
10
10
10
11
01
00
00
10
11
00
01
10
00
10
11
11
11
10
00
10
01
00
01
00
00
10
10
01
01
11
10
00
00
00
00
10
00
00
10
11
00
01
00
10
00
00
01
10
11
00
01
00
10
10
10
00
00
10
10
00
01
11
10
10
11
00
01
10
10
00
00
11
01
01
11
00
00
10
00
10
10
00
01
11
10
10
11
00
00
01
10
10
01
01
00
10
10
00
00
10
11
10
10
11
00
00
10
10
00
11
11
10
10
10
10
11
00
00
01
00
10
01
00
11
11
00
01
11
00
10
10
01
00
11
00
01
10
11
10
01
11
10
11
00
00
10
01
01
10
01
00
00
10
10
00
11
00
00
01
10
01
00
00
10
10
11
10
01
00
00
00
10
01
01
00
10
10
01
00
11
10
00
01
01
10
01
10
10
01
10
01
10
01
10
10
10
10
01
10
10
00
10
00
00
00
11
10
00
10
00
00
00
01
00
00
01
10
00
00
00
11
10
00
00
10
00
00
01
10
11
10
00
10
00
00
10
00
00
10
10
10
10
10
00
01
01
11
00
10
00
10
10
00
10
10
11
00
10
10
01
11
10
11
01
00
10
10
00
00
00
10
10
00
10
10
11
00
01
10
00
10
01
01
00
01
10
01
00
00
00
01
00
10
00
00
00
00
10
00
00
10
11
01
11
11
10
10
11
00
00
10
01
00
01
11
10
10
01
10
00
01
10
11
11
01
00
10
01
10
10
00
00
11
10
01
01
01
10
10
00
10
01
01
10
00
00
10
10
10
00
10
10
00
00
01
11
00
01
00
00
10
11
11
10
01
01
10
01
01
10
00
10
10
01
00
11
11
00
10
01
10
00
00
10
10
11
00
01
00
00
00
00
00
00
00
10
11
10
10
01
10
01
00
10
11
00
11
10
00
00
11
10
00
01
10
00
01
11
00
01
00
10
11
01
11
10
00
00
00
00
01
11
11
10
01
11
11
00
00
10
10
00
00
11
10
00
00
11
10
00
01
00
10
10
00
01
01
00
11
10
01
00
10
10
01
00
10
10
10
00
01
10
10
11
01
00
10
10
00
10
10
10
10
00
00
10
00
10
00
11
11
01
01
11
11
10
00
00
00
10
10
00
00
10
00
01
00
10
10
01
01
00
00
11
00
11
10
00
00
00
00
10
10
00
10
01
10
00
10
11
00
00
11
10
01
10
11
00
00
01
11
10
00
10
10
10
10
10
00
00
10
01
01
11
00
11
00
10
10
00
00
10
10
00
00
00
01
00
10
10
10
10
11
00
00
00
00
10
10
10
01
10
00
00
11
11
00
00
10
01
00
00
10
10
00
01
11
00
11
10
11
10
11
00
11
00
10
01
00
11
00
10
10
10
00
00
11
11
00
11
00
10
00
10
10
10
10
01
01
00
10
00
10
00
10
10
10
11
11
10
10
11
10
11
00
00
10
00
11
00
01
11
10
00
10
11
10
00
00
10
10
01
10
00
10
10
01
00
11
10
11
00
00
10
10
00
00
10
00
11
11
00
00
00
11
11
00
10
00
01
00
00
11
01
00
01
10
10
10
10
00
00
10
10
00
01
01
00
11
11
00
01
10
11
01
00
10
00
00
01
10
10
00
00
00
01
00
11
10
01
10
00
11
11
00
01
01
00
10
11
11
01
01
11
00
00
10
11
00
11
11
00
10
11
11
11
10
01
00
01
10
01
11
11
10
01
10
10
10
00
00
10
01
00
10
01
01
00
11
11
10
01
10
11
10
10
00
01
10
11
11
00
10
10
10
00
01
10
01
11
11
11
01
11
00
01
11
11
01
00
10
00
00
11
00
00
10
00
00
00
00
11
11
10
10
10
01
10
00
00
01
01
11
00
10
00
00
10
10
00
00
10
10
10
00
11
01
10
00
01
00
10
01
10
10
00
00
00
00
01
01
11
01
01
00
10
10
10
00
00
10
10
01
11
00
10
01
00
01
10
10
00
11
00
11
00
01
00
10
10
10
10
00
00
10
00
01
11
00
10
10
01
00
11
10
00
00
10
10
11
10
00
00
01
00
00
10
10
10
00
00
11
10
00
00
00
00
10
10
11
01
00
00
01
11
00
11
01
11
11
01
11
11
01
00
00
00
10
10
01
11
00
01
01
01
11
01
00
00
00
10
11
11
11
00
11
00
10
11
00
10
10
00
00
11
00
00
01
10
10
11
10
10
00
00
00
00
11
00
01
00
00
00
10
10
10
10
01
01
10
00
11
00
10
00
01
00
01
11
11
10
01
11
10
10
00
01
01
01
11
10
11
00
11
00
00
00
10
00
00
10
11
00
10
10
00
00
10
00
11
00
00
01
11
11
00
10
11
00
10
11
00
01
10
00
01
10
11
10
11
10
10
00
10
10
00
00
11
00
00
11
00
11
10
10
11
11
10
01
10
11
11
01
00
00
01
00
11
10
10
01
11
00
00
11
10
00
11
10
00
10
10
00
00
00
11
10
10
00
00
11
10
10
01
01
01
11
10
10
01
00
10
00
11
10
10
01
00
00
00
00
01
00
00
10
11
11
11
10
10
01
00
11
01
00
10
00
00
00
11
11
00
01
00
11
10
10
01
00
11
11
10
01
10
11
10
00
00
01
00
10
10
01
11
10
00
01
10
11
11
00
11
11
11
00
00
10
10
10
10
00
10
10
00
11
00
00
00
01
10
11
00
10
10
10
01
01
01
10
10
01
10
00
00
10
10
10
10
00
00
00
00
01
00
10
10
01
00
10
11
01
00
01
10
11
11
00
10
01
01
10
01
00
10
10
00
10
11
10
00
01
00
10
01
00
10
00
00
10
00
00
10
11
00
00
10
00
01
10
00
00
10
11
10
00
11
10
00
10
01
11
01
00
00
00
00
10
00
01
00
10
00
00
11
00
01
10
00
00
00
01
10
00
01
10
01
00
10
10
11
00
10
11
00
01
10
01
00
11
01
11
10
00
11
10
10
00
00
01
00
10
10
11
00
00
10
10
00
00
10
00
10
10
00
11
10
10
00
00
01
10
01
10
11
00
01
11
00
01
10
00
11
10
01
00
01
01
01
10
10
00
00
10
10
11
10
10
11
01
10
00
10
01
10
00
00
10
10
00
10
10
11
00
10
10
10
10
10
00
01
10
10
00
00
00
10
01
00
10
10
10
00
10
10
01
00
11
00
00
00
10
00
10
10
11
00
10
10
01
00
00
10
11
11
01
11
10
01
11
11
11
00
00
00
00
00
01
00
11
11
00
11
00
11
00
00
01
11
11
11
01
01
01
11
00
10
11
01
00
00
11
10
11
01
01
01
00
10
11
10
00
00
01
11
00
00
11
11
10
11
00
01
00
00
11
10
01
00
01
10
10
10
11
01
01
10
10
10
10
01
01
00
11
10
01
01
00
11
01
01
00
01
10
10
00
00
10
10
00
00
00
00
00
01
10
00
01
00
11
11
01
01
10
10
00
01
10
10
11
00
11
11
10
10
00
01
10
10
01
11
00
11
11
00
10
00
10
01
10
10
01
11
10
10
10
10
10
00
01
11
11
10
00
00
10
10
00
10
10
00
01
10
00
10
00
11
01
00
00
01
10
00
01
00
01
00
10
00
11
10
00
00
11
10
11
10
01
00
10
00
00
00
10
10
00
00
00
01
00
11
00
10
10
00
00
00
10
10
10
01
01
11
00
10
01
10
10
00
10
10
10
00
01
10
10
00
10
10
00
11
00
01
00
11
00
00
10
11
11
10
01
00
10
10
00
00
01
10
11
10
11
11
00
00
00
11
11
00
10
00
00
11
10
11
01
11
10
10
00
00
11
00
11
11
10
00
00
00
10
00
00
10
10
10
10
10
00
10
00
10
00
11
01
11
11
00
00
10
00
00
01
01
11
11
10
10
00
00
01
10
10
00
00
10
01
00
11
01
01
00
10
00
10
00
01
11
11
01
00
10
10
01
01
01
01
11
00
01
10
01
11
10
00
10
11
11
00
00
10
10
00
00
10
00
00
10
10
10
01
00
00
00
00
00
00
10
10
10
01
10
01
01
00
01
10
10
00
11
10
00
10
10
00
00
10
01
00
00
11
00
10
00
10
10
11
00
11
01
10
10
00
00
11
10
11
00
10
10
00
00
01
10
10
10
01
10
01
10
11
10
10
00
10
10
01
00
01
00
10
00
00
00
10
11
00
10
10
01
10
01
01
10
10
10
00
00
00
11
11
10
00
00
10
10
01
01
11
00
11
11
10
11
00
00
11
00
11
01
00
11
00
00
10
10
00
10
11
00
00
10
11
00
00
10
10
00
01
00
11
11
01
11
11
01
01
00
10
00
01
11
11
11
00
11
10
10
00
00
00
11
10
01
11
10
00
10
10
00
10
11
00
10
10
01
10
10
01
10
11
10
01
01
01
11
00
11
11
10
01
00
10
01
00
11
00
10
00
00
00
01
11
11
01
10
00
10
00
10
01
00
10
10
00
00
11
00
11
00
00
00
01
10
00
11
01
11
10
10
10
11
00
10
11
01
10
01
00
10
00
00
10
00
00
10
10
00
11
11
01
00
10
10
11
10
01
10
10
10
11
10
11
11
01
00
11
01
01
10
01
00
10
00
10
00
00
11
00
00
10
11
00
10
01
11
00
00
11
00
11
10
01
10
10
10
01
00
10
00
01
01
10
00
01
11
10
10
11
11
10
00
00
11
10
00
01
00
11
00
10
11
01
11
00
10
10
00
00
01
11
10
10
00
00
01
10
10
00
00
10
00
00
10
10
00
00
00
11
00
10
10
11
11
01
11
10
00
00
11
00
10
00
10
01
10
11
01
01
00
10
01
10
10
00
10
01
10
10
10
11
01
01
01
00
10
10
01
10
11
00
00
10
10
11
00
00
10
10
00
01
10
00
00
00
11
10
00
00
11
10
11
00
01
01
10
11
11
00
00
10
01
01
10
10
00
00
10
11
01
00
10
00
00
00
00
11
00
01
11
00
00
10
10
00
01
11
10
00
00
10
01
11
00
10
10
11
11
00
00
00
11
11
00
11
10
01
10
10
00
00
10
01
11
11
10
00
01
10
00
10
10
00
00
01
01
01
01
00
10
10
11
01
00
00
11
10
00
00
10
00
00
10
11
10
00
00
00
11
00
01
00
10
00
00
10
11
00
10
10
01
10
10
10
00
10
11
00
10
00
00
10
10
11
00
01
10
10
10
10
01
00
11
10
10
01
11
10
00
01
10
10
11
00
10
11
00
11
01
00
01
01
00
00
10
00
10
11
00
10
10
00
10
00
11
10
00
10
00
10
00
00
11
10
10
10
10
00
10
11
01
10
00
11
00
00
11
01
11
10
10
10
10
10
00
00
00
11
10
11
00
00
01
10
01
10
11
00
00
00
00
10
10
10
00
00
01
11
01
10
01
01
11
10
00
00
10
11
00
11
10
11
01
10
00
00
11
11
10
00
11
00
00
11
11
00
00
01
00
10
00
10
01
11
10
01
00
11
00
10
01
10
10
00
10
10
11
01
00
01
10
10
00
10
10
01
10
00
10
00
01
11
01
00
00
10
11
10
00
11
11
11
11
10
00
10
00
00
10
10
01
01
10
01
10
10
11
10
00
11
10
00
01
11
01
10
10
00
00
10
11
00
10
01
10
10
01
10
00
00
01
10
10
00
00
10
10
11
11
00
00
10
01
11
01
01
10
10
10
10
01
10
11
00
00
00
10
00
10
01
00
10
10
00
10
11
00
00
11
01
01
01
01
10
11
11
00
10
11
01
00
10
10
00
00
10
01
00
11
00
00
10
01
00
11
00
00
11
10
00
00
00
11
01
00
10
10
00
01
01
11
01
01
00
10
11
01
00
10
10
00
00
01
10
00
11
11
01
00
10
00
00
00
01
10
10
00
00
01
10
00
01
00
00
00
00
11
00
01
10
00
00
11
11
10
10
00
00
10
11
10
11
00
01
00
11
10
10
00
11
11
11
00
00
00
00
00
10
11
00
10
00
10
11
01
01
00
10
01
10
10
01
00
11
00
10
10
00
00
10
11
00
00
01
00
10
00
00
00
00
10
10
00
01
10
00
00
01
11
10
01
00
10
00
00
11
11
00
00
10
10
00
00
00
10
10
10
10
00
00
11
10
01
00
10
11
10
11
10
00
00
00
00
01
00
10
01
01
10
11
10
01
00
10
00
00
10
01
10
10
10
00
10
11
11
10
10
00
10
00
01
00
10
00
10
10
01
00
10
10
00
11
00
10
00
00
00
11
10
00
01
01
01
10
00
10
01
10
10
01
11
00
01
00
00
00
00
00
00
01
10
10
10
00
10
11
10
11
01
00
00
00
00
11
10
00
01
10
01
00
10
01
10
10
10
10
00
11
11
00
01
10
01
11
11
01
10
10
00
01
11
10
01
01
00
01
10
00
01
00
10
10
10
01
11
10
00
10
11
10
01
00
10
10
10
10
00
10
10
01
01
10
01
11
10
00
10
00
00
01
11
10
00
10
11
11
10
10
01
01
11
00
00
10
11
11
10
11
00
10
00
00
11
11
10
00
10
10
10
10
00
01
00
10
10
00
00
00
00
10
11
11
00
00
00
01
10
00
10
00
01
11
10
10
11
00
01
11
10
00
00
00
10
10
10
01
01
11
10
10
10
01
01
00
00
11
01
11
00
10
10
00
11
00
01
00
00
11
10
10
10
00
00
10
11
00
10
10
01
00
01
00
01
01
10
01
00
11
11
10
00
01
10
10
11
00
11
10
00
00
10
10
01
01
10
10
01
10
01
10
01
01
00
11
10
01
10
10
00
01
00
10
00
01
00
10
10
11
10
01
10
01
01
01
10
11
00
00
11
11
10
01
00
00
10
10
10
01
00
11
11
10
11
10
00
00
11
00
01
00
10
10
10
10
10
00
01
10
10
00
01
01
10
00
00
11
00
11
11
10
01
00
10
11
00
00
01
00
10
00
11
11
10
00
00
00
11
10
00
00
00
11
10
00
10
10
00
00
10
11
00
00
10
10
01
00
10
10
11
00
10
00
10
10
00
00
10
10
00
10
00
10
00
01
10
00
00
10
11
11
10
00
00
10
11
00
11
10
00
00
00
00
01
00
10
01
01
01
01
00
01
10
11
11
10
10
00
10
01
11
11
00
10
11
11
11
11
00
00
11
10
01
10
10
10
01
00
00
11
10
00
00
00
00
10
10
10
01
01
10
01
00
11
10
10
01
01
11
10
00
00
10
10
10
10
00
10
01
00
11
10
10
00
10
00
00
01
10
00
00
10
01
01
00
11
10
00
10
11
00
11
10
00
10
10
00
01
11
00
10
00
00
10
01
10
10
10
11
10
00
10
10
10
00
10
00
10
00
00
11
11
11
10
10
10
10
11
00
11
10
10
01
00
00
00
01
11
00
01
00
00
01
10
10
10
10
01
10
00
10
00
10
00
10
11
10
01
10
00
01
00
00
11
10
00
10
10
10
01
11
00
00
10
11
00
11
01
00
10
10
00
00
01
10
10
10
10
10
01
10
11
00
00
01
10
00
00
11
00
00
10
11
10
00
00
10
00
10
11
00
00
01
00
01
01
11
01
00
01
11
00
00
10
10
10
11
01
01
00
10
10
11
10
01
01
11
00
00
10
10
10
00
10
10
10
00
01
01
00
01
00
10
11
10
01
00
10
10
11
01
01
00
10
11
00
10
00
10
11
00
10
10
01
00
00
10
01
00
10
11
00
00
00
10
10
00
00
10
00
10
11
00
11
10
00
10
00
11
10
01
00
10
00
01
01
00
11
10
11
01
11
11
00
01
10
00
00
11
10
11
11
01
00
10
10
01
01
10
01
00
00
10
01
01
01
00
10
10
00
00
10
00
11
10
00
11
11
10
00
11
00
00
11
00
10
11
10
00
00
11
01
01
10
10
10
00
10
00
10
10
00
01
01
00
10
00
10
11
10
10
10
11
00
11
00
10
00
11
00
10
10
10
00
00
00
01
11
01
00
10
00
00
10
11
10
01
00
01
11
01
10
11
10
10
00
01
01
00
11
10
10
00
00
01
01
00
11
11
00
10
00
00
11
01
00
11
00
10
10
10
00
00
10
01
11
10
10
10
01
00
11
10
10
10
00
10
01
01
01
00
00
10
10
10
00
10
10
00
11
10
10
11
00
10
00
10
00
10
10
00
00
00
00
10
00
01
01
00
01
10
10
10
00
10
10
10
01
00
00
00
10
00
01
10
10
00
01
10
11
11
01
00
01
00
10
00
00
01
00
10
10
01
00
11
01
01
11
01
11
10
01
00
10
11
01
00
00
00
10
01
10
10
01
11
10
10
11
01
10
10
00
01
00
00
00
01
00
11
10
10
11
10
01
10
11
00
11
10
01
10
11
00
10
01
00
10
10
00
00
10
11
01
00
10
11
00
00
01
10
00
11
01
10
11
10
00
00
11
01
00
01
10
11
00
11
00
10
10
01
10
10
11
11
00
00
11
00
11
11
10
00
00
11
10
00
01
10
10
10
10
10
11
00
10
10
00
00
10
11
10
00
00
10
11
10
10
11
00
00
00
10
01
10
10
10
01
00
01
10
10
10
01
00
01
01
00
00
10
11
00
11
10
01
10
01
00
00
00
11
00
10
00
01
01
10
01
00
10
10
00
00
10
10
01
11
00
10
01
00
10
10
01
00
10
01
00
11
10
11
10
00
10
00
00
10
10
00
00
10
11
11
11
10
00
00
00
01
01
10
11
01
00
10
00
11
00
01
00
00
00
00
10
10
11
00
10
10
00
01
00
10
00
10
10
10
10
00
10
00
01
10
10
00
00
10
11
01
00
11
10
00
10
10
00
10
00
01
00
10
10
00
01
10
11
10
00
10
11
01
00
01
11
01
00
11
00
00
10
11
10
01
10
10
10
11
10
11
00
10
10
00
01
00
11
00
10
10
00
11
00
01
01
01
11
10
10
00
11
10
00
01
01
10
00
01
11
11
11
01
00
01
11
10
10
10
00
01
10
10
00
00
11
00
00
01
00
10
11
00
00
01
10
10
00
01
10
01
00
10
10
00
00
01
10
11
10
01
10
00
00
00
00
11
00
00
10
10
11
00
01
10
11
00
00
01
00
11
00
01
10
00
01
00
00
00
01
10
00
10
11
10
00
00
11
00
00
00
00
01
10
00
10
00
10
10
10
00
10
00
01
10
01
10
00
00
10
11
10
10
00
10
00
10
00
10
00
11
10
00
10
00
10
10
00
01
11
01
11
01
10
10
10
10
00
00
00
10
11
00
01
10
11
00
00
10
10
00
00
01
00
11
11
00
00
11
10
11
11
00
00
10
00
00
00
10
11
11
00
10
10
10
01
11
01
00
00
10
11
10
00
00
10
10
10
11
00
00
11
01
01
11
11
10
00
10
00
00
10
10
01
01
11
10
11
11
00
10
10
00
01
00
10
10
11
01
10
10
00
00
00
10
10
00
00
00
00
00
00
10
00
01
10
10
01
10
10
10
01
00
00
10
00
10
00
00
01
10
00
00
11
00
01
01
10
10
10
11
00
10
10
11
10
01
00
11
10
10
01
10
10
00
10
11
00
11
01
10
00
10
01
10
11
00
00
01
10
00
10
00
00
01
00
11
11
10
00
11
10
10
01
11
11
10
00
00
00
00
00
10
10
00
00
00
00
11
10
11
11
01
10
10
00
00
01
10
10
00
11
00
11
10
00
10
00
11
00
01
11
01
00
01
00
11
10
10
11
01
00
11
10
01
10
01
00
11
10
01
11
10
01
00
11
10
01
00
10
10
00
01
00
11
00
10
10
10
00
01
01
11
10
11
10
01
00
10
10
01
01
10
10
00
00
10
01
00
11
10
10
00
00
10
01
00
11
01
00
00
11
00
01
11
10
11
10
01
10
00
00
00
01
01
00
10
01
11
11
10
10
00
01
01
11
10
01
10
11
00
10
11
00
00
10
10
00
00
10
10
11
11
00
10
11
10
11
11
11
10
01
00
10
01
00
10
10
00
10
10
00
10
00
00
10
00
10
10
10
00
10
11
00
00
00
11
10
11
00
01
00
11
10
01
00
00
11
00
00
00
00
10
10
00
00
11
10
01
11
00
10
10
10
11
00
00
10
10
00
01
00
01
00
11
10
00
10
11
10
01
00
11
00
00
00
00
10
11
11
01
01
10
10
10
00
01
00
10
10
00
11
01
10
10
11
00
10
00
00
11
10
01
01
01
01
10
10
00
00
10
01
00
10
11
10
10
11
00
00
10
01
01
10
00
10
10
00
00
11
00
01
10
10
00
11
10
01
10
01
00
11
10
11
10
00
00
01
10
11
00
01
00
11
10
10
00
00
01
10
11
00
01
10
00
10
00
10
10
00
00
01
10
10
00
01
10
10
00
00
11
10
11
00
10
00
00
00
10
00
00
10
10
11
11
10
10
10
10
11
00
11
11
01
11
00
01
10
10
00
10
10
00
01
00
10
11
11
00
11
11
00
00
10
10
10
11
01
00
00
00
10
10
00
10
11
00
10
10
00
11
10
00
00
10
10
11
01
00
00
10
11
11
10
01
01
00
10
11
00
11
10
10
11
01
11
01
00
10
10
00
00
01
00
10
00
00
10
01
10
11
01
11
10
01
01
00
10
10
00
10
00
01
00
00
10
11
10
00
10
00
10
00
11
10
11
00
01
10
00
10
00
10
01
00
10
11
11
00
00
11
10
01
10
01
10
11
00
00
00
11
11
00
10
11
00
01
10
00
10
10
00
01
01
10
10
00
00
10
11
00
11
10
10
10
00
00
00
10
10
00
01
10
11
01
11
11
00
00
00
00
11
00
10
10
10
11
01
10
10
11
00
11
00
00
11
11
01
10
00
00
10
10
00
10
10
00
10
01
00
00
10
01
11
10
00
11
00
00
00
10
11
01
01
10
00
00
10
00
01
00
11
11
00
00
00
00
10
00
10
01
00
10
01
00
10
10
11
01
00
10
10
10
00
10
00
10
10
00
00
10
01
00
11
00
10
01
10
11
10
00
00
11
00
10
00
00
01
10
10
00
10
11
10
11
00
01
10
01
00
10
11
00
10
10
11
00
00
00
00
00
10
10
11
00
10
01
00
11
01
01
10
10
00
00
10
01
01
10
11
01
11
10
11
00
00
11
10
11
00
01
00
00
10
10
10
11
01
01
10
10
11
00
10
10
01
00
10
10
00
00
01
00
00
10
10
00
11
00
00
00
11
00
10
10
00
10
11
01
10
11
00
10
10
01
01
11
01
00
10
11
01
10
10
00
01
00
10
10
01
01
10
10
00
11
10
01
11
10
11
10
00
00
00
11
10
01
00
00
11
11
10
11
00
00
00
10
00
00
10
10
00
10
10
00
10
11
01
00
10
10
00
10
11
01
01
00
00
00
10
10
01
00
11
11
10
11
10
11
00
00
10
10
00
10
10
00
10
10
00
01
00
01
10
11
00
10
10
10
11
00
10
11
10
11
10
10
00
11
11
11
10
00
00
10
10
10
10
01
00
10
10
00
11
11
00
10
10
00
00
11
00
01
00
10
11
10
11
01
01
11
00
00
11
00
00
01
00
10
00
00
10
11
10
00
00
10
00
11
10
10
10
11
00
10
10
10
00
01
01
00
11
11
00
01
11
10
10
00
01
10
11
10
00
01
11
00
01
10
10
10
10
10
10
10
01
00
01
01
10
00
10
01
00
11
11
00
10
00
11
10
11
00
00
00
00
00
00
00
10
10
10
11
01
01
00
00
10
01
00
10
01
01
10
11
10
10
00
00
10
01
11
11
10
10
00
00
10
10
10
00
00
00
01
11
11
00
00
00
01
00
00
11
11
01
00
10
11
00
10
11
01
01
11
10
01
01
10
10
10
00
01
00
10
00
00
00
11
00
10
10
10
00
00
10
00
00
10
00
11
10
00
00
01
11
01
00
01
10
11
01
10
00
00
10
10
10
01
10
01
11
00
11
10
11
11
00
00
00
10
10
11
00
11
11
01
10
00
10
10
11
00
00
10
10
10
00
11
10
00
10
00
10
10
01
10
10
00
10
01
00
00
00
10
10
11
11
10
00
01
10
01
10
11
00
10
00
00
10
00
00
10
01
10
11
00
00
00
10
11
00
00
11
10
11
11
00
01
10
00
00
01
10
10
11
01
11
00
01
00
00
11
00
10
10
11
10
10
00
00
00
00
11
01
01
00
10
10
00
11
10
10
10
11
01
11
10
01
00
10
10
11
11
00
10
10
00
10
11
01
00
01
01
01
00
01
10
10
10
00
00
10
11
00
10
11
00
10
01
00
10
10
00
10
00
10
10
00
10
01
01
10
11
10
00
00
10
00
11
10
01
10
01
00
00
10
01
01
10
01
00
10
00
10
10
11
10
01
00
01
01
01
00
01
10
10
11
01
11
10
01
01
11
10
00
10
10
10
00
00
10
10
00
10
11
10
11
11
10
00
00
00
10
10
01
00
10
11
00
00
10
10
00
10
10
00
00
00
10
10
00
10
10
00
10
00
10
10
10
00
00
00
01
10
00
10
10
10
00
00
01
00
11
11
01
00
00
10
10
00
00
01
11
00
11
10
10
10
11
00
01
10
11
00
01
10
01
00
10
10
10
00
00
00
10
01
01
00
00
01
00
00
01
10
11
11
11
00
01
10
10
11
00
01
11
10
10
01
10
11
11
01
00
00
10
01
00
10
10
00
10
11
10
00
00
00
11
00
01
11
10
00
00
01
00
00
10
11
11
11
10
00
00
10
01
11
01
01
10
11
10
10
10
00
00
10
10
00
11
10
10
10
11
01
10
10
00
01
10
11
00
10
11
00
11
11
10
01
11
00
01
11
10
00
00
11
10
10
01
00
01
10
00
00
11
10
00
10
10
10
00
00
10
10
00
00
10
00
11
10
11
10
00
01
10
01
01
00
00
01
10
10
10
11
10
01
10
00
01
01
11
00
10
00
10
10
10
10
00
00
10
11
00
00
11
01
10
00
10
00
00
11
11
10
00
10
10
00
10
01
00
00
00
11
01
10
00
10
10
00
11
00
10
11
11
01
01
10
10
00
00
00
00
01
10
10
01
00
01
10
11
11
01
01
10
11
00
10
01
00
10
10
11
01
00
11
11
11
10
01
10
11
10
10
00
00
10
00
00
00
10
00
11
10
00
00
01
10
00
10
11
00
00
01
00
00
11
10
11
00
00
10
10
10
01
00
01
10
01
01
00
00
01
10
10
01
00
00
00
11
10
10
11
11
10
00
01
00
01
10
11
01
10
10
01
01
11
00
00
10
11
01
10
10
10
10
01
10
00
00
10
11
00
00
11
10
01
11
11
10
00
00
10
00
00
00
11
11
00
10
01
01
11
10
11
01
10
01
00
11
00
10
10
10
10
00
00
11
00
11
10
11
10
00
00
00
10
00
11
10
10
10
00
00
10
10
10
11
01
00
01
00
00
11
11
01
00
00
10
10
01
01
10
11
10
10
00
00
00
11
11
01
10
01
11
10
10
01
10
11
10
00
00
10
00
10
00
00
10
00
00
00
10
10
10
00
00
00
00
11
10
11
00
10
01
11
10
01
00
10
11
00
00
10
01
10
11
10
00
11
10
01
11
11
00
11
00
01
10
01
00
10
10
10
11
00
11
00
10
10
00
10
01
10
10
11
10
10
00
10
10
00
00
00
01
11
00
00
11
00
10
00
01
10
00
00
11
00
11
00
10
00
00
00
10
01
00
00
10
10
00
00
01
11
00
10
01
00
01
01
11
01
00
10
01
00
11
00
00
10
10
00
01
00
10
10
00
10
00
00
10
00
00
01
10
10
00
00
00
00
00
00
10
01
00
10
10
00
00
10
10
00
01
00
10
11
00
01
10
11
10
10
00
01
00
11
00
00
00
10
10
10
01
01
10
00
01
01
00
01
11
11
10
00
10
00
10
00
00
00
00
00
01
10
00
01
11
00
00
00
10
00
01
10
11
10
10
00
10
10
00
01
10
00
01
10
10
10
01
10
00
10
10
11
00
00
00
00
10
00
00
00
10
10
10
00
10
10
00
01
11
10
10
10
01
10
00
00
01
01
00
00
01
10
10
11
00
10
10
11
00
10
10
00
00
10
00
00
10
00
10
10
00
01
01
00
10
10
10
10
10
11
10
10
00
11
10
00
11
00
00
10
10
00
11
10
11
10
10
00
00
10
01
00
10
11
10
01
00
01
00
10
11
01
01
11
11
00
00
00
11
10
11
01
11
11
11
01
00
00
10
10
00
00
10
10
10
00
10
00
00
00
10
10
10
10
10
00
01
01
00
01
00
10
10
11
00
10
10
01
00
11
00
00
01
11
10
10
00
01
11
10
11
10
00
01
00
00
00
10
10
00
00
10
00
00
00
10
10
10
10
10
10
10
00
01
00
10
01
00
01
10
10
01
11
11
00
00
11
01
10
10
01
10
00
10
00
00
00
11
10
11
01
11
00
10
11
01
11
10
10
10
01
00
01
00
10
00
00
01
00
11
10
00
00
10
00
00
01
11
00
00
10
00
00
00
01
10
10
11
01
01
11
11
00
01
01
10
00
10
10
00
00
11
11
01
01
00
01
10
11
00
10
01
01
10
00
10
10
10
00
01
10
10
00
00
10
11
10
10
10
00
11
11
10
01
00
11
10
01
00
10
10
00
00
10
00
00
00
10
11
01
01
11
10
00
11
10
10
11
01
10
11
00
00
11
10
00
11
10
01
10
10
00
10
10
00
01
10
10
00
00
01
00
11
10
00
10
01
00
00
00
10
10
01
00
01
00
11
10
10
01
11
00
00
10
10
10
10
00
00
10
00
00
10
10
10
10
01
10
00
11
10
10
01
10
00
01
10
01
01
11
01
00
00
10
00
01
10
10
01
10
10
10
11
00
10
11
00
00
00
00
10
10
00
00
00
00
10
00
11
11
10
01
00
00
01
00
00
10
00
11
10
01
11
01
10
11
11
10
10
00
00
10
10
01
00
10
11
01
00
00
11
10
11
00
00
10
00
11
00
11
10
01
00
00
00
10
10
10
00
00
10
00
00
01
10
10
10
10
00
01
10
10
00
10
01
00
10
10
10
00
10
11
10
10
00
00
10
11
00
10
11
10
00
10
01
00
01
00
10
00
10
11
00
10
11
10
11
10
00
01
10
11
10
00
00
10
10
00
10
10
00
00
10
01
10
00
00
10
00
11
11
01
01
11
00
00
11
11
01
01
10
01
01
11
10
01
01
11
00
00
10
10
10
00
01
11
11
01
00
10
00
10
00
10
00
00
10
01
00
10
11
10
10
00
00
10
00
01
00
00
10
11
11
00
10
10
00
10
11
00
01
10
01
00
10
11
01
11
00
01
10
00
10
01
00
10
11
01
01
10
10
00
00
10
00
00
10
11
01
01
01
10
01
01
11
00
10
01
00
11
10
10
00
00
01
00
10
10
01
11
00
00
00
00
00
10
00
10
10
00
10
11
11
00
01
01
00
11
00
00
00
10
10
10
00
01
10
00
01
01
10
10
00
11
00
01
10
11
10
01
00
10
01
01
11
11
11
00
10
10
11
10
11
01
10
00
00
00
11
10
00
11
00
11
01
00
00
10
00
10
11
01
01
01
10
00
10
11
01
00
10
10
00
10
00
01
10
00
00
00
00
00
10
00
01
10
01
11
00
10
00
11
10
11
00
10
00
00
00
10
11
00
01
10
10
01
10
00
00
00
11
10
10
10
00
10
10
11
11
10
00
00
11
10
00
11
10
00
11
01
00
10
00
00
10
10
01
00
10
00
11
11
00
00
01
00
10
11
10
01
00
11
10
10
11
11
10
00
00
11
00
01
10
10
01
11
01
10
10
00
10
11
00
00
01
00
10
10
11
00
11
10
11
01
10
11
00
01
10
01
00
11
10
00
10
11
00
01
01
00
11
11
10
01
00
00
01
11
11
01
01
00
00
11
11
11
00
10
11
00
00
00
00
10
01
00
00
00
00
01
01
01
10
11
00
10
10
01
00
01
00
10
11
10
00
00
00
11
00
01
10
00
00
10
11
10
10
10
10
10
01
11
01
10
10
11
11
00
00
00
10
10
00
10
01
00
10
10
11
01
00
01
10
00
00
10
00
00
00
10
10
00
10
10
00
10
00
00
10
10
00
11
10
00
00
00
00
10
10
11
11
01
00
11
11
11
11
00
10
11
00
01
00
10
10
10
00
00
00
10
00
00
00
10
11
01
00
00
00
01
00
01
10
11
00
11
01
00
11
11
10
00
10
11
11
10
00
11
11
00
00
11
10
10
10
01
00
11
10
00
00
00
01
11
10
10
01
10
10
10
10
00
00
00
00
01
00
00
01
10
11
11
01
00
11
01
01
00
00
00
11
10
00
00
10
00
01
11
01
00
00
00
00
10
10
10
01
00
11
01
00
00
10
00
00
01
10
10
01
10
10
00
10
10
00
00
00
00
11
11
00
11
10
00
11
10
00
01
00
10
11
01
00
11
00
00
10
00
00
10
10
01
10
00
10
10
00
10
00
10
10
11
00
11
00
00
10
10
00
10
00
00
00
10
10
00
01
11
10
01
10
10
10
11
01
00
00
00
00
10
10
10
00
10
10
10
01
11
10
00
10
00
11
00
10
01
10
10
10
01
00
01
10
00
11
00
10
10
11
10
00
00
10
00
01
00
01
10
11
11
11
11
01
00
11
10
01
11
10
01
10
00
10
11
01
10
00
01
10
10
10
00
11
10
10
00
01
11
10
10
00
01
10
11
10
01
00
10
01
00
10
10
10
00
10
00
00
00
01
11
01
01
10
11
00
10
11
10
10
00
00
01
00
10
10
10
00
10
11
10
10
00
11
01
00
00
00
01
11
01
01
00
10
00
00
10
00
01
11
10
10
10
10
10
10
00
01
10
10
10
01
00
00
10
10
00
10
10
00
00
01
11
10
11
00
00
01
10
10
10
11
11
10
00
11
11
01
10
00
11
00
01
11
11
01
10
01
00
10
10
01
01
01
10
10
10
10
00
11
00
00
10
00
11
11
10
00
11
01
00
01
10
10
00
01
10
10
01
01
10
01
00
00
01
11
10
01
00
10
00
00
10
10
10
01
01
10
11
00
00
10
00
00
00
00
11
10
10
01
10
00
01
00
10
11
10
00
01
10
11
10
10
11
10
11
10
10
00
10
11
10
00
01
00
10
10
11
10
10
00
00
11
10
10
10
01
00
00
00
00
00
10
10
11
10
00
11
01
11
11
10
00
01
10
00
00
10
10
01
11
00
01
11
01
10
10
10
10
01
00
01
00
10
11
10
00
00
10
10
11
01
01
11
10
10
10
10
10
00
01
10
10
01
10
01
00
10
00
00
11
01
10
10
01
11
10
00
11
10
10
10
00
00
10
10
10
10
00
10
10
01
00
00
01
00
11
11
00
11
00
10
11
11
00
10
01
10
00
00
11
01
00
01
00
00
10
10
10
11
00
00
10
10
00
01
10
11
01
00
01
00
00
10
01
01
11
10
01
10
01
00
01
00
11
10
11
00
10
10
00
11
00
01
10
00
11
10
10
10
01
01
10
10
00
11
10
10
11
10
01
11
10
11
00
00
10
10
01
00
11
11
10
10
10
01
01
01
10
11
10
10
11
00
00
10
10
10
10
00
00
00
01
10
10
10
00
10
10
10
00
11
11
01
11
11
01
10
00
01
01
11
11
00
10
10
00
01
11
11
00
00
00
10
10
00
00
10
01
10
10
00
10
00
00
10
11
11
00
00
10
11
10
10
00
00
00
00
00
11
11
00
10
00
10
01
11
10
00
00
10
10
00
00
00
10
00
11
10
01
01
00
00
00
00
10
10
01
10
10
10
00
10
10
00
01
10
01
01
00
11
00
10
11
01
11
10
10
01
11
00
10
00
00
10
11
10
01
10
01
00
00
10
00
11
10
01
10
11
00
11
11
10
01
00
00
00
11
11
01
01
10
01
00
11
10
10
11
10
00
01
11
11
10
01
00
10
10
01
10
01
00
10
10
01
10
01
10
10
11
00
01
10
10
00
10
00
01
00
10
10
10
00
10
00
01
10
00
01
10
10
01
00
00
00
00
11
01
00
11
10
00
00
10
10
00
11
10
00
00
10
00
00
10
10
10
01
11
00
00
11
10
01
11
00
11
01
00
00
00
10
11
00
00
11
01
11
00
00
00
10
01
01
00
10
00
10
01
10
00
00
00
11
00
01
11
10
01
01
10
00
11
11
00
00
10
10
00
00
10
10
01
10
11
11
10
01
11
10
11
01
00
10
11
01
00
00
11
10
00
00
01
10
00
00
00
00
01
00
11
10
00
10
01
01
11
00
00
11
01
10
11
01
01
11
11
10
10
00
10
00
01
10
11
00
00
01
10
11
00
11
10
00
01
10
10
00
00
10
00
01
10
00
01
11
10
10
11
10
00
10
01
01
10
00
11
10
10
10
00
11
10
01
10
11
00
00
00
01
00
11
10
00
10
00
10
00
11
11
10
00
11
10
00
10
00
00
00
11
11
10
00
10
01
01
00
01
10
10
10
10
00
11
10
01
00
11
01
10
10
10
01
00
00
10
10
00
11
00
00
00
10
01
10
10
10
01
00
00
00
11
11
00
01
01
01
10
10
10
10
00
00
00
10
10
10
00
00
00
01
10
00
11
00
01
10
00
00
00
10
10
10
01
00
11
11
11
01
11
00
11
10
00
11
10
00
00
11
00
00
00
10
00
00
00
01
10
00
11
11
00
10
11
00
10
01
00
11
10
01
10
10
00
00
10
10
11
01
00
11
11
00
01
11
00
10
00
00
00
00
10
10
00
01
10
01
10
00
01
10
10
00
10
11
10
00
00
11
01
10
10
00
11
00
11
10
00
00
00
11
00
01
10
01
01
01
11
10
00
00
00
00
01
11
10
10
00
10
10
11
01
10
10
00
00
00
11
01
00
01
10
00
10
10
11
00
10
10
01
10
00
11
10
00
00
10
10
10
00
01
10
10
01
00
10
00
10
10
10
00
00
10
00
01
01
10
10
10
10
01
10
11
00
01
01
01
00
10
00
00
01
00
10
10
01
00
10
01
10
11
10
00
01
00
10
01
11
10
11
00
10
00
10
11
00
10
10
11
00
00
10
01
00
00
00
10
00
10
01
01
01
01
00
10
10
00
01
11
11
01
00
11
11
01
10
01
01
10
11
00
01
00
10
10
00
01
10
00
00
00
10
10
00
01
00
10
00
10
00
10
11
11
01
00
10
10
10
01
01
00
10
10
01
00
01
00
00
10
10
10
10
00
01
00
10
10
00
01
10
10
11
01
00
00
10
01
00
01
10
00
00
11
00
11
00
00
11
10
10
11
00
01
10
10
00
00
01
10
01
11
00
10
00
00
10
10
11
10
11
01
10
10
01
11
00
11
00
01
00
11
10
00
10
11
01
00
00
00
01
10
11
10
01
01
10
10
10
11
00
00
10
00
00
11
00
00
10
10
00
11
10
10
10
01
10
10
10
01
00
01
10
10
00
00
10
00
10
11
11
10
01
00
10
00
01
10
11
10
00
00
10
00
01
01
11
01
10
11
00
11
01
01
10
10
00
00
00
10
10
01
01
11
01
10
00
00
00
00
10
10
10
00
00
00
10
01
01
10
00
10
00
11
11
10
01
00
01
11
01
10
10
11
11
00
00
11
10
00
01
00
00
10
10
10
10
01
00
01
00
00
10
10
00
10
00
00
10
10
01
11
10
00
10
10
01
11
01
00
10
01
01
01
01
10
10
00
01
11
00
10
10
00
00
00
10
10
00
11
00
10
10
00
01
00
11
10
10
00
00
00
11
10
00
00
01
00
10
00
00
10
00
00
00
10
11
10
00
10
00
00
10
10
11
00
01
00
10
00
01
00
00
10
10
00
10
00
00
10
00
10
10
10
00
00
01
11
00
00
10
11
10
11
00
10
00
00
10
11
00
00
10
10
00
11
11
00
11
00
10
10
00
00
11
00
01
10
01
01
11
10
11
10
01
00
01
00
10
10
00
00
10
10
00
00
10
11
00
10
01
00
10
10
00
10
10
10
00
00
01
10
11
00
00
00
00
00
11
01
10
10
00
00
10
10
00
01
10
11
01
00
10
10
00
00
11
11
00
01
10
10
01
10
11
01
10
11
01
01
00
01
10
11
10
01
00
11
01
10
11
00
10
00
10
11
11
01
00
01
10
00
00
00
00
11
11
10
10
10
00
00
00
11
11
00
11
01
01
11
10
10
00
11
10
00
00
00
11
10
00
00
00
00
10
01
10
01
10
00
11
10
00
11
11
11
01
10
11
11
10
11
00
00
11
00
11
01
10
11
00
01
01
11
10
11
11
01
01
10
11
00
00
10
00
00
10
00
01
00
00
11
01
01
00
10
01
00
01
10
10
00
11
00
11
00
00
00
00
10
10
10
01
10
00
10
10
11
01
10
11
10
00
00
11
00
00
10
10
00
01
10
00
11
10
10
10
00
00
10
10
01
00
01
01
00
11
00
10
11
10
11
10
11
01
00
10
10
10
01
00
00
00
10
00
00
10
10
10
10
10
10
10
00
00
10
10
11
11
11
01
10
10
10
10
00
10
00
01
00
01
01
10
00
10
10
00
01
10
11
10
00
10
10
01
00
00
11
00
00
00
01
10
11
00
10
11
01
00
10
00
01
10
10
00
00
01
01
10
10
10
10
10
10
10
01
00
10
00
00
11
00
01
01
10
00
00
11
01
00
10
00
00
00
01
10
11
00
10
00
10
00
00
10
00
10
00
00
01
00
11
10
00
10
00
10
00
00
00
00
11
10
00
00
00
00
11
10
11
11
01
10
10
00
00
10
01
01
10
11
00
11
10
01
10
11
11
11
00
01
10
11
00
00
11
10
10
00
11
00
10
11
11
10
01
10
01
11
10
00
10
11
00
10
11
00
00
01
01
00
01
00
10
11
10
10
00
10
01
10
11
10
10
01
00
10
11
11
01
00
00
00
11
11
10
00
00
00
10
01
00
11
10
01
00
01
10
00
10
10
01
00
10
10
11
01
00
10
10
10
01
01
00
11
11
10
11
10
11
01
00
11
11
00
00
01
10
00
10
10
00
10
10
10
11
10
10
00
10
01
01
10
11
01
00
11
01
10
01
00
10
10
11
01
00
00
10
11
11
01
10
01
00
11
10
11
00
00
01
11
10
10
11
01
01
00
01
00
11
00
11
01
01
10
11
10
10
00
00
01
10
01
10
00
00
00
00
10
00
10
00
00
01
00
00
00
00
00
00
01
00
10
00
10
01
01
10
01
00
11
10
00
00
10
10
00
00
10
10
10
10
10
00
01
00
10
01
00
11
00
11
00
10
00
00
00
11
00
10
10
00
00
10
00
01
10
00
01
10
11
01
00
10
11
10
10
01
00
11
00
00
10
00
00
10
11
00
10
10
00
00
10
10
01
00
00
10
11
10
11
01
01
10
11
10
11
00
01
10
00
10
10
10
00
10
00
00
01
10
01
10
00
00
00
00
11
10
11
10
10
00
01
10
11
00
00
11
00
11
10
00
11
11
11
01
11
10
01
01
10
01
00
10
10
10
00
00
00
10
00
00
01
00
00
10
00
01
10
01
10
11
01
11
00
00
01
10
00
00
00
10
10
00
10
11
01
10
10
00
11
00
11
00
10
10
11
00
10
01
00
10
00
11
10
00
00
10
01
11
11
00
11
11
00
01
01
11
10
00
01
01
00
01
01
10
11
01
10
10
10
00
10
01
01
00
10
10
11
00
11
10
00
00
01
10
11
00
00
10
00
10
10
00
00
00
00
10
01
10
00
11
00
10
00
00
10
11
11
01
11
11
10
11
00
00
10
11
00
01
10
11
01
01
11
10
10
00
00
01
01
00
10
00
01
11
11
11
00
11
00
00
11
10
01
10
10
00
10
10
00
10
10
11
00
11
00
10
11
00
00
00
01
00
00
00
10
00
00
00
00
10
10
10
11
10
10
10
10
11
00
10
10
10
11
10
01
00
00
10
11
10
10
10
10
10
10
10
00
01
10
01
11
11
10
10
10
11
00
00
01
01
11
10
01
10
10
00
10
00
10
00
00
00
11
00
10
00
11
10
01
00
01
01
10
00
00
00
10
00
11
10
11
10
00
01
10
10
01
01
10
11
10
10
00
00
00
10
10
01
10
10
01
10
00
10
00
10
00
11
11
10
00
10
11
10
00
10
11
10
11
01
00
00
10
10
10
01
00
01
11
11
10
00
00
11
00
11
11
01
10
10
01
00
00
10
00
00
10
01
10
00
11
00
11
00
11
11
10
01
10
00
10
10
01
00
00
01
01
11
10
01
01
00
10
10
10
10
10
01
10
00
00
01
10
00
11
11
00
01
10
00
00
10
01
01
11
11
11
01
11
00
11
10
00
00
01
10
10
10
10
01
01
01
10
11
10
10
00
00
01
01
01
10
10
10
10
01
00
01
00
10
10
10
11
01
10
11
00
10
01
10
11
00
10
11
00
00
11
11
00
00
00
00
00
10
10
01
00
00
10
00
01
11
00
10
01
01
10
11
10
01
00
10
00
00
10
11
01
01
01
10
01
10
00
01
11
00
00
10
10
10
00
00
10
00
00
10
10
10
11
10
00
11
10
00
00
11
11
10
11
00
00
10
11
11
00
10
10
00
00
01
01
10
10
00
11
11
00
10
11
01
00
00
10
01
00
10
00
00
11
00
00
11
10
11
00
01
10
00
00
00
00
11
01
10
10
00
11
11
11
10
10
10
11
01
10
00
01
10
11
10
01
00
10
01
10
11
00
11
11
00
01
01
01
11
10
10
00
00
11
10
10
00
01
11
00
00
01
00
10
10
10
00
00
10
11
10
00
11
11
11
00
11
10
10
00
11
11
00
01
01
00
00
10
10
00
00
11
01
00
11
10
10
00
10
10
01
11
10
00
00
10
00
10
00
00
11
10
00
11
10
01
10
11
10
10
00
11
10
00
11
10
00
10
10
00
01
00
10
10
00
00
10
10
00
10
10
01
10
10
11
00
01
00
00
11
11
10
10
01
01
10
10
01
11
00
01
11
10
01
00
11
10
01
10
10
00
10
00
01
10
00
01
11
10
00
01
10
10
01
10
01
00
00
11
11
10
11
01
00
00
00
00
00
00
10
10
00
10
10
10
00
00
10
00
00
10
10
10
01
11
10
10
10
11
10
11
10
00
10
00
00
11
01
01
00
00
10
10
10
10
00
10
00
11
00
11
01
01
01
00
00
10
10
01
10
10
01
00
11
10
10
00
10
00
00
10
10
10
10
00
01
01
01
00
00
00
00
10
00
10
10
01
00
00
10
10
10
00
00
11
00
11
10
11
10
00
00
10
11
01
10
01
01
11
11
11
10
00
01
11
01
00
11
10
00
10
00
00
10
00
00
00
00
10
10
10
11
10
10
10
01
00
10
10
10
11
00
00
00
10
10
10
01
01
10
10
00
10
11
01
00
11
11
00
00
00
10
11
01
00
01
11
10
01
10
01
01
00
10
10
01
00
10
10
11
00
10
10
10
10
00
01
10
10
00
10
10
10
00
00
10
01
00
10
00
01
10
00
00
00
10
00
00
11
10
01
10
00
10
10
00
10
10
01
10
01
01
01
10
10
10
00
00
10
11
00
11
10
00
00
10
11
10
01
00
11
10
10
00
10
01
00
00
10
11
11
11
00
10
11
10
11
00
11
00
01
10
00
00
00
00
10
10
00
10
00
10
00
11
01
00
10
11
11
10
01
00
11
01
01
10
10
00
00
00
10
10
10
10
00
00
10
00
01
11
00
00
00
10
00
00
00
00
10
00
10
11
11
00
01
10
10
11
10
00
00
11
11
10
10
00
00
11
10
10
01
00
10
11
11
00
10
00
00
10
11
10
00
10
10
10
01
10
11
10
00
01
10
00
01
00
11
11
10
10
11
00
01
00
11
10
10
00
00
11
00
11
00
00
00
01
00
00
00
10
11
00
00
10
11
10
00
00
00
10
10
01
10
00
11
00
11
01
10
11
01
01
01
01
10
10
00
00
10
00
01
10
00
10
00
11
10
11
11
10
01
00
00
11
00
00
01
01
11
11
01
10
11
10
01
10
10
01
01
00
10
01
01
00
10
10
11
10
01
00
00
10
10
00
10
01
00
00
11
10
00
10
10
01
00
00
11
11
01
11
00
11
01
10
00
11
11
10
01
01
10
11
00
10
01
10
11
10
01
00
10
00
00
01
11
10
01
00
01
00
10
00
01
01
00
10
00
11
11
00
11
00
10
10
10
11
11
00
00
01
11
10
10
01
00
10
00
00
11
00
10
11
00
00
01
11
10
10
00
10
11
10
01
00
10
10
10
00
10
11
10
10
10
10
00
11
01
00
00
10
00
11
00
10
10
00
00
00
10
10
00
00
11
10
00
00
10
00
00
01
00
10
10
00
00
00
10
10
01
00
01
10
11
11
00
11
00
01
11
10
01
10
10
01
10
00
00
11
00
01
00
10
10
00
10
00
00
01
00
00
10
11
00
10
10
00
11
11
00
01
01
11
11
11
11
00
10
10
10
01
00
00
10
01
00
10
00
00
00
10
00
01
10
11
00
11
11
00
10
00
00
10
01
00
11
11
00
01
11
10
11
11
01
10
00
00
11
10
00
10
10
10
10
10
01
10
10
00
00
10
10
10
10
11
10
01
10
01
10
00
01
10
10
00
10
10
00
01
11
10
00
10
01
00
00
01
00
10
01
10
00
10
10
01
11
00
11
00
00
00
00
11
01
11
10
00
00
01
00
10
00
01
01
00
01
01
00
00
11
10
00
00
10
10
10
01
10
00
00
10
10
00
10
11
00
10
11
10
00
00
11
10
01
11
01
00
00
11
10
01
00
11
10
00
10
00
00
10
00
00
00
00
11
00
10
11
01
00
10
10
10
00
11
00
00
10
10
10
10
11
00
01
10
11
11
01
01
11
10
00
10
11
11
00
00
11
01
01
00
01
10
10
11
00
01
10
11
01
10
00
10
00
00
11
10
11
00
11
11
01
10
00
00
10
11
11
00
00
10
10
00
11
01
11
00
10
10
10
00
00
10
11
01
00
00
01
00
00
10
01
01
00
00
11
10
11
11
01
11
11
11
00
11
01
10
10
01
00
11
10
00
10
00
10
01
00
10
00
00
00
00
00
10
11
11
10
10
00
10
00
01
01
10
10
00
11
10
01
10
10
10
11
00
10
00
00
00
10
00
00
10
10
00
10
00
11
11
00
00
10
10
01
10
10
00
00
11
11
10
00
11
00
00
00
10
11
10
10
10
10
01
10
11
00
11
10
00
00
00
10
10
00
11
10
10
11
10
00
01
11
00
10
10
00
10
10
01
10
11
00
00
11
01
11
11
01
01
01
00
00
10
11
10
00
01
00
10
01
01
10
00
00
11
00
00
00
10
00
01
10
01
11
01
11
10
01
00
10
10
00
10
11
11
01
10
10
10
00
11
10
00
10
11
00
11
00
01
00
10
11
10
00
00
10
10
10
11
00
00
10
10
10
11
00
10
00
00
10
00
01
00
00
00
00
11
10
10
00
01
00
11
10
01
00
10
00
00
00
11
11
01
00
00
00
11
00
00
10
11
10
01
11
00
00
00
00
10
00
00
10
10
01
00
01
11
11
01
10
10
10
10
10
01
00
10
11
00
00
10
00
11
10
00
00
11
11
10
00
01
10
10
10
11
01
11
10
00
10
10
10
11
01
10
10
11
00
00
10
01
11
11
00
00
10
00
01
11
10
00
00
10
10
00
00
00
01
10
01
10
11
10
00
10
10
11
00
01
00
01
10
10
01
11
11
00
01
00
10
10
11
10
01
11
00
00
11
10
11
10
00
00
10
10
11
00
00
10
11
01
00
11
00
10
00
01
10
00
10
11
10
11
00
01
11
00
00
11
00
11
11
10
01
00
01
10
10
00
11
10
01
11
10
00
11
00
11
01
00
10
00
10
00
11
00
01
11
11
00
10
11
10
00
00
11
10
00
10
00
00
10
01
10
10
10
00
00
10
00
11
10
10
10
00
10
00
10
10
00
10
10
00
10
00
10
11
00
01
11
00
11
11
10
00
10
10
11
00
10
00
01
10
01
01
10
10
11
11
11
00
01
10
01
10
10
11
01
00
10
00
01
10
10
00
10
11
10
00
01
11
10
00
00
01
10
10
10
10
10
00
01
00
10
10
10
11
00
10
01
00
11
01
00
01
00
11
11
11
00
00
10
00
01
10
11
00
00
10
10
10
00
01
11
11
10
00
00
10
10
01
00
10
00
10
01
01
10
00
01
10
11
11
01
10
11
11
00
10
11
10
11
10
01
00
00
10
01
01
10
10
00
00
00
10
11
01
01
10
10
11
01
11
10
11
11
11
11
00
11
10
01
00
00
10
00
10
10
00
01
10
10
00
01
11
10
00
00
01
10
00
10
11
11
11
11
00
00
10
10
00
00
10
10
11
10
11
00
00
01
10
10
01
00
11
11
01
01
11
10
00
10
10
10
00
00
10
11
00
01
10
00
01
10
00
00
10
11
00
00
00
10
10
10
00
01
10
00
10
00
00
10
00
01
10
11
10
01
00
10
00
00
01
10
11
00
10
01
10
10
00
00
10
00
00
00
01
10
00
00
10
00
10
10
01
01
10
10
00
00
00
00
00
01
10
10
10
10
01
11
10
11
00
10
11
00
11
00
10
10
01
00
10
00
01
10
11
10
00
10
10
11
11
01
01
11
00
10
00
01
00
11
10
10
10
00
00
01
10
11
01
10
00
01
10
00
00
00
00
10
10
00
01
11
00
01
10
10
00
00
10
00
10
10
10
00
11
00
00
10
01
01
10
00
11
10
01
01
10
10
00
01
00
10
00
01
10
10
01
10
00
00
01
00
00
10
10
01
01
10
01
00
01
00
10
00
01
10
10
00
01
10
10
01
11
10
10
00
10
00
01
00
11
10
10
10
01
10
10
00
00
00
10
10
10
00
10
01
00
00
10
11
00
01
11
11
10
01
10
01
10
00
10
10
10
00
10
00
11
10
01
10
10
00
00
00
10
00
00
11
01
01
10
10
00
01
00
01
11
11
00
00
01
10
00
01
00
10
10
10
00
11
01
11
11
10
00
10
10
01
00
11
10
11
01
10
00
00
11
10
00
00
11
10
00
01
10
10
00
10
11
00
10
10
01
00
01
10
10
00
10
00
00
00
10
00
00
00
11
11
10
10
10
01
10
00
11
00
01
10
11
10
01
00
00
00
10
00
11
10
01
00
00
10
00
10
11
00
00
11
11
01
00
11
11
11
00
01
11
10
01
10
00
00
00
10
10
00
01
10
10
10
00
00
01
00
01
11
11
00
00
01
10
11
01
10
11
00
01
11
11
00
00
00
11
10
00
00
10
10
00
00
10
01
01
11
11
01
11
00
00
01
10
10
01
00
11
00
10
10
00
00
10
00
00
11
10
10
10
00
01
01
10
10
00
10
10
00
10
10
10
00
10
10
00
10
10
00
01
11
10
10
01
01
01
10
00
01
11
00
10
01
00
01
00
11
10
10
01
01
11
10
01
10
00
10
01
01
11
00
00
10
10
10
01
00
11
11
00
10
11
11
00
00
10
10
10
00
10
00
10
11
10
00
00
11
00
11
11
11
11
10
11
00
10
11
01
00
10
00
01
11
00
10
10
01
11
10
00
01
00
10
10
00
01
00
01
10
00
11
11
01
10
01
01
10
10
00
00
10
00
01
01
10
11
00
00
10
10
10
01
00
00
11
10
10
01
10
10
00
01
10
10
11
00
10
00
00
00
00
00
11
11
11
11
10
11
00
10
01
10
10
01
10
01
10
00
00
01
00
01
10
10
10
00
10
10
10
11
01
10
01
10
10
00
01
01
10
10
00
01
00
10
10
01
01
10
01
11
11
10
00
01
10
00
00
00
01
00
10
11
11
11
00
00
00
10
10
10
10
00
10
01
00
11
10
10
11
10
11
00
01
11
01
11
00
00
11
00
11
00
00
10
01
10
10
00
00
10
01
00
10
00
10
00
00
10
00
00
11
01
00
11
11
00
00
10
11
00
10
11
00
10
01
01
10
11
01
00
00
00
10
10
00
01
01
11
11
11
11
01
00
00
10
10
00
00
10
10
00
00
00
10
10
10
00
11
11
01
10
11
00
01
10
00
00
11
10
01
10
10
01
00
00
00
10
10
00
10
10
00
01
00
00
00
01
11
00
10
00
01
00
10
10
01
01
00
01
10
10
00
01
11
11
00
00
11
00
11
10
11
00
01
10
00
01
10
11
10
10
10
10
00
10
00
01
00
10
00
01
00
00
00
01
10
11
01
10
10
01
10
11
10
11
00
01
10
11
11
00
00
00
00
10
00
00
01
10
10
00
01
00
10
10
11
00
01
01
10
10
00
10
10
00
00
11
10
10
10
11
10
00
00
00
00
00
10
11
10
00
11
10
00
00
11
11
10
00
01
00
10
01
01
10
10
10
00
11
00
01
00
01
10
01
00
10
00
01
10
01
11
11
10
00
10
11
10
01
00
10
10
00
11
00
01
10
01
01
10
00
00
11
11
11
00
10
01
00
00
00
11
11
10
00
10
00
10
10
00
11
10
10
10
10
10
11
01
00
11
10
00
00
10
10
01
10
00
11
10
01
10
10
00
00
00
01
10
10
00
00
00
10
00
00
10
10
10
11
10
00
00
11
10
11
00
11
10
11
10
01
00
10
00
00
01
00
10
11
01
00
10
01
11
11
11
01
00
11
10
11
00
00
11
10
00
00
10
11
00
10
11
10
00
00
00
11
10
11
00
00
11
11
00
01
00
11
00
11
11
11
10
00
00
10
00
10
11
00
00
10
11
00
10
00
11
00
00
11
00
10
11
11
00
00
01
10
10
10
00
00
11
01
00
10
11
00
00
10
10
01
00
11
10
00
11
11
11
10
10
00
10
11
01
01
10
00
01
11
10
00
00
10
11
00
00
01
00
00
10
10
10
10
10
00
01
11
00
11
00
00
00
11
10
00
11
00
00
01
10
00
11
10
10
10
11
00
11
00
00
00
00
10
10
11
01
01
00
01
00
11
10
11
01
10
00
00
10
11
10
00
11
10
01
10
11
11
10
11
00
01
11
00
00
01
11
10
10
01
01
00
10
10
10
10
00
00
00
00
10
00
00
01
10
10
10
01
00
10
10
01
10
10
01
10
10
01
00
01
11
10
00
10
10
01
00
10
10
10
01
00
10
10
10
00
00
00
01
00
01
10
10
00
10
00
10
00
00
00
00
10
00
01
00
10
00
10
11
10
01
01
11
11
10
00
00
00
10
10
01
01
11
00
11
01
00
00
10
01
10
00
11
11
10
11
01
01
01
11
00
10
00
00
11
10
00
00
10
11
10
10
11
00
01
10
10
00
00
10
11
01
01
10
00
11
11
10
10
10
11
00
00
00
00
00
00
00
10
01
00
01
10
00
10
01
01
11
00
00
10
01
01
11
00
11
11
11
00
10
01
10
10
00
10
10
11
11
01
10
00
00
10
00
11
00
01
10
00
11
10
11
10
10
00
11
10
00
01
10
10
11
01
01
00
10
10
10
11
00
01
10
10
00
00
10
11
01
00
10
11
10
01
00
10
00
00
10
11
00
00
00
10
10
10
10
11
01
01
01
01
11
10
01
00
01
10
10
00
10
10
00
10
00
00
10
00
01
10
01
00
00
11
00
00
01
00
11
00
11
00
10
00
10
11
01
10
10
00
00
00
00
00
10
11
10
00
01
10
10
00
10
10
10
10
01
10
11
01
00
00
10
00
10
10
00
01
00
10
10
00
11
10
00
00
00
10
10
00
10
11
11
01
00
10
01
01
11
10
01
10
11
10
10
11
01
00
00
10
11
00
10
00
00
11
10
00
11
10
00
10
10
00
01
11
10
00
10
00
00
10
00
10
00
10
10
10
00
10
10
01
00
10
00
01
11
00
00
11
10
01
10
00
00
00
00
00
10
10
11
11
11
10
10
10
01
00
00
01
10
00
00
00
10
10
10
10
00
10
01
00
01
00
00
00
11
00
11
10
11
10
11
10
00
00
00
10
10
11
00
10
11
00
00
00
00
00
11
10
00
10
01
11
00
01
10
10
10
01
11
00
10
10
10
01
10
00
10
11
00
01
10
00
10
10
10
10
00
00
00
00
00
01
10
00
00
11
01
10
10
11
10
10
00
01
00
10
01
00
11
10
11
00
10
00
01
10
10
10
01
10
01
00
11
00
00
10
10
00
00
11
10
11
10
01
11
11
00
00
00
10
10
10
10
00
00
00
00
00
01
10
10
11
01
00
00
00
10
01
11
10
01
01
10
00
10
10
10
10
01
00
00
11
00
00
10
01
00
00
00
01
00
01
11
00
11
00
01
00
01
10
01
10
11
10
10
01
01
01
10
00
10
10
10
00
00
11
00
10
01
01
10
10
00
00
10
01
10
11
01
01
11
11
01
11
00
01
01
10
10
01
10
10
11
00
01
00
10
10
01
00
10
00
01
10
10
00
00
00
10
10
11
00
10
11
00
00
11
00
01
11
00
10
00
10
11
00
01
00
11
01
00
01
10
10
00
10
10
10
00
11
01
01
11
00
10
10
00
00
11
10
00
00
10
00
10
00
00
11
00
11
01
00
11
10
01
10
10
01
11
00
01
00
00
10
00
10
01
11
10
00
10
10
10
10
00
01
10
00
01
00
01
10
00
11
10
01
10
11
00
10
00
00
10
00
10
10
00
10
01
00
00
01
10
10
00
01
00
00
01
11
11
11
00
00
00
01
10
10
11
00
10
10
00
00
10
10
00
01
10
01
10
00
10
10
01
00
00
10
10
00
10
10
00
11
00
00
10
00
10
10
10
10
00
10
00
00
10
10
01
00
00
00
10
00
11
01
10
01
01
10
00
11
10
01
10
11
11
10
01
00
01
11
10
01
10
11
00
01
10
11
01
00
00
11
10
00
11
10
01
10
10
10
00
01
11
01
10
01
10
11
00
10
00
00
10
11
10
01
11
10
00
10
11
01
11
10
01
01
10
11
10
00
00
00
01
10
10
01
00
10
10
10
11
10
00
10
01
00
01
00
10
01
00
01
10
11
10
00
00
00
01
00
00
10
10
10
00
00
00
10
10
11
00
01
10
00
00
00
10
00
00
11
00
10
11
10
01
01
10
10
10
00
00
00
10
00
10
11
00
00
00
00
01
00
00
00
10
11
10
10
00
11
10
11
11
10
10
00
00
00
10
11
10
00
01
00
11
10
00
10
00
10
10
01
00
10
10
10
00
01
10
10
00
00
10
10
00
00
10
00
00
10
10
00
11
10
10
01
00
00
00
01
01
00
11
00
00
10
10
10
10
00
01
01
01
10
01
00
10
01
00
01
11
10
00
01
10
10
00
01
11
01
01
10
10
10
11
00
00
10
10
10
11
00
01
00
00
10
10
10
10
00
01
11
10
00
00
00
10
01
01
11
10
10
01
10
11
00
00
10
10
01
00
11
11
00
01
11
10
00
01
10
00
01
11
11
00
10
11
11
00
00
00
00
00
10
10
11
01
11
10
01
10
00
01
00
10
10
01
11
10
00
11
10
11
11
00
10
00
01
10
00
00
11
00
10
11
00
00
00
00
01
10
11
00
10
10
00
00
00
11
10
00
00
00
00
10
00
00
01
01
11
11
00
01
00
01
00
10
10
10
01
01
00
10
10
00
10
10
10
00
01
01
10
10
00
10
00
10
11
00
00
00
00
01
11
11
00
10
01
01
00
11
10
01
10
01
10
00
00
11
10
00
00
10
00
01
00
01
10
00
11
00
01
10
11
10
00
01
00
00
10
00
00
00
10
11
00
00
00
01
10
10
00
10
10
00
10
11
00
10
10
00
00
10
01
00
01
10
11
11
00
01
00
01
10
10
00
10
00
01
00
11
11
01
10
10
11
00
11
10
00
00
10
00
00
00
10
10
11
01
10
10
00
00
11
11
10
00
10
10
00
00
00
01
10
10
11
10
10
11
01
10
00
01
11
01
10
00
00
00
10
10
00
11
11
01
00
10
11
00
01
10
00
00
00
01
00
00
10
10
10
11
01
01
10
10
11
11
11
00
00
10
11
00
10
00
00
01
10
11
00
00
00
00
00
00
10
10
10
01
01
11
01
10
00
00
01
10
10
00
01
00
11
11
10
10
01
01
11
00
00
00
00
11
11
00
00
11
00
01
10
00
01
10
10
01
01
11
00
10
00
00
10
00
10
10
11
10
00
10
01
10
10
01
01
10
01
00
11
10
10
00
11
10
00
00
11
10
10
01
11
00
00
10
01
01
10
11
11
00
00
00
10
01
00
11
10
10
10
10
10
01
01
11
00
10
00
01
00
00
10
10
10
00
00
10
10
11
11
01
11
10
11
00
00
10
00
00
10
00
10
11
01
10
10
00
11
10
11
01
11
11
01
11
10
11
00
00
11
10
10
11
00
01
10
10
01
00
00
10
11
00
10
10
01
10
01
01
10
10
10
00
11
11
00
00
10
00
11
10
00
00
01
10
10
11
01
01
00
10
11
10
00
11
11
00
01
00
01
00
10
10
00
01
10
10
01
00
00
11
01
10
10
01
00
00
10
10
10
11
01
10
01
00
01
11
10
01
01
10
01
10
10
01
00
11
00
11
10
11
00
01
10
10
10
11
10
00
10
10
01
10
10
00
10
10
10
11
01
00
01
10
00
10
11
11
10
11
01
01
01
00
00
00
00
01
11
10
11
00
01
11
00
00
11
01
00
10
10
01
00
11
10
10
11
00
11
00
10
10
00
10
00
11
11
01
01
01
11
00
11
01
00
11
10
00
01
00
10
00
00
10
00
10
11
01
11
00
01
11
00
01
00
10
00
00
00
00
10
10
10
00
10
10
11
00
10
00
00
00
00
00
10
01
00
11
11
11
00
00
10
01
10
11
00
10
10
01
10
00
10
10
00
01
00
11
00
01
00
00
00
10
00
11
01
00
11
10
11
10
01
00
00
10
10
10
11
00
10
10
00
01
10
10
00
10
00
10
11
00
10
11
00
11
00
01
10
10
00
00
10
10
01
01
00
10
10
01
10
10
11
01
00
11
00
00
11
01
00
01
00
01
00
11
01
10
00
10
01
10
00
01
10
11
01
10
11
10
00
10
00
00
00
10
01
00
11
11
01
00
01
10
00
01
11
00
00
11
11
01
10
10
01
00
00
10
10
01
01
10
01
10
00
00
10
10
00
10
10
00
00
00
01
11
10
10
10
00
01
10
00
01
01
00
01
10
10
01
01
10
00
10
10
00
01
01
11
10
00
11
00
00
11
00
00
10
01
01
01
10
11
01
00
11
01
01
10
10
11
10
00
01
10
01
00
00
10
11
00
00
11
11
10
01
10
01
00
10
01
00
11
10
01
10
01
10
11
00
00
00
00
00
10
11
00
00
11
01
10
11
11
00
00
10
01
00
11
00
00
00
00
11
11
00
00
00
00
00
00
10
11
01
11
01
10
10
10
10
01
00
11
11
01
00
01
10
11
10
00
10
10
00
00
00
01
00
01
00
10
10
11
11
00
11
10
10
10
10
01
00
10
11
01
10
10
01
00
11
00
11
00
10
10
00
01
00
00
10
10
01
00
11
10
00
11
01
00
10
10
11
00
10
00
00
11
00
01
00
10
01
10
10
00
00
10
00
01
01
00
10
00
11
00
01
00
11
10
10
11
10
11
10
10
00
00
11
10
11
01
01
10
10
10
10
00
00
11
11
10
11
10
10
10
01
01
10
01
01
00
11
10
10
11
00
00
00
00
11
10
00
01
10
01
10
00
10
11
10
10
10
00
00
00
10
10
00
10
10
11
00
01
00
10
00
10
00
00
10
10
00
11
11
10
00
00
10
01
10
00
01
00
10
10
10
01
10
10
00
00
10
10
00
11
00
00
10
01
10
00
10
10
10
00
10
01
10
10
11
01
10
00
10
11
10
00
10
00
10
10
10
00
11
10
10
00
00
00
01
01
10
10
10
11
11
10
11
10
10
00
00
10
00
01
11
10
11
10
10
11
01
00
10
10
11
01
01
00
10
10
01
10
11
00
00
10
01
10
00
00
10
10
01
10
10
00
00
10
10
00
11
10
10
11
00
00
00
00
01
10
01
10
10
10
10
10
10
10
00
00
00
00
00
00
00
10
00
00
00
10
11
10
10
11
11
00
11
01
00
11
00
01
11
10
11
01
00
10
00
00
10
01
00
01
01
00
11
00
10
10
11
00
00
10
11
00
00
10
01
10
10
01
11
01
01
00
01
11
01
01
11
10
01
00
10
11
10
00
01
01
11
11
01
00
11
10
00
00
01
11
11
01
01
00
00
00
01
10
10
10
11
00
11
11
00
10
10
11
11
01
01
10
01
10
00
10
00
00
11
11
00
00
10
10
11
11
00
00
00
00
11
10
00
10
10
01
11
00
00
01
10
10
10
00
01
10
00
00
10
10
10
00
01
01
10
00
10
01
01
11
11
01
10
10
10
11
00
00
10
00
00
00
10
11
01
01
01
00
11
10
10
10
10
11
01
00
10
10
10
00
10
00
11
11
10
00
10
00
10
01
00
10
10
00
00
10
11
11
00
10
11
00
11
01
00
01
00
10
01
10
10
10
11
00
11
01
10
11
00
00
00
01
11
00
00
10
10
01
10
00
11
01
00
10
10
10
00
00
10
11
01
01
00
00
10
10
01
00
10
10
01
00
00
10
00
00
10
01
10
11
11
10
11
10
10
00
10
11
11
01
01
00
00
01
01
10
10
01
00
00
10
10
10
01
00
00
00
00
00
11
00
10
10
00
10
10
01
00
11
00
10
10
00
11
00
11
11
00
00
10
00
11
00
00
00
10
01
00
10
10
10
11
01
10
00
10
10
10
01
11
01
10
00
00
11
01
00
10
10
00
11
10
01
00
11
01
00
01
00
00
10
10
10
11
10
00
00
00
00
10
11
01
00
11
00
10
11
01
00
01
10
10
10
10
10
00
11
01
00
00
10
10
11
00
10
00
10
00
01
11
00
00
00
11
00
00
00
01
01
00
11
11
10
00
10
10
01
01
01
00
00
11
01
00
00
11
10
01
01
00
01
10
10
00
10
11
10
01
00
00
10
10
00
11
11
00
01
10
00
00
11
00
00
00
11
00
01
01
00
01
10
11
10
10
01
10
00
00
00
10
01
00
10
00
00
00
10
10
00
00
00
00
00
00
10
00
01
11
10
00
11
10
10
10
00
11
10
01
01
10
00
10
01
00
00
10
10
00
00
01
11
00
00
11
01
00
01
11
10
01
00
00
10
00
00
11
10
10
01
00
00
01
10
10
11
00
01
10
01
00
01
10
10
00
00
11
11
10
10
00
11
10
10
00
11
00
01
01
11
00
11
11
00
00
00
00
10
11
01
00
01
11
10
10
10
10
00
00
10
00
01
00
10
11
00
11
10
00
10
10
01
01
10
10
11
10
00
01
01
00
00
00
00
00
10
00
11
10
00
11
10
10
01
10
10
11
11
11
11
01
00
00
00
10
10
11
00
00
01
00
10
00
00
11
00
00
11
01
00
01
00
00
11
11
00
10
00
01
00
11
00
00
11
01
00
11
00
00
00
11
10
10
00
01
11
10
00
00
00
10
11
10
00
01
10
11
00
00
10
01
00
01
01
10
10
00
00
00
00
00
10
11
10
00
10
01
10
11
10
00
00
11
10
11
01
00
11
10
10
00
10
11
00
11
11
00
01
10
01
00
10
00
00
11
10
10
01
11
01
10
00
00
10
01
01
10
11
01
10
11
00
10
10
01
00
00
10
01
00
00
00
00
00
10
01
10
10
10
01
00
01
10
00
01
11
10
10
10
00
11
10
01
00
00
10
10
11
11
10
00
11
11
00
11
10
01
10
00
00
01
10
10
10
10
11
00
01
11
11
00
10
10
01
00
11
10
10
00
00
11
10
00
00
00
10
10
10
01
10
10
10
00
00
11
00
01
00
01
00
00
10
00
01
10
11
00
10
00
10
10
11
10
01
00
10
10
11
11
01
11
10
10
01
00
01
10
10
01
01
11
10
00
00
01
01
00
00
10
10
00
11
00
10
10
00
10
01
10
00
01
10
11
11
01
00
01
00
00
00
00
00
11
00
00
00
10
10
01
00
10
00
00
00
01
11
10
11
00
11
00
01
10
10
10
00
00
10
11
01
00
01
00
01
10
10
10
01
01
00
00
11
00
10
00
00
10
01
00
11
11
00
00
11
11
10
11
01
01
11
00
10
10
10
00
11
00
00
11
10
01
11
11
11
00
01
10
11
00
00
00
10
10
01
11
10
00
11
00
11
10
01
11
00
01
01
11
11
00
00
00
10
10
10
10
00
10
10
10
00
00
00
11
01
10
00
10
10
00
01
00
00
00
11
01
00
00
10
00
00
01
00
11
10
11
01
00
00
10
10
10
00
01
00
10
11
00
00
10
00
00
10
10
00
10
00
01
01
10
10
01
11
10
10
00
00
10
10
00
10
00
10
00
10
00
01
01
10
10
00
10
01
00
10
01
10
00
01
00
11
10
00
00
00
11
01
01
10
11
11
10
01
10
10
00
00
11
10
01
00
00
01
11
10
11
01
00
11
00
00
01
10
00
10
10
00
10
11
11
10
00
01
10
01
00
11
00
01
01
10
10
01
01
11
10
11
10
10
01
10
01
00
11
01
01
01
00
10
11
01
10
01
00
10
00
10
11
00
00
10
11
01
00
00
00
11
10
00
10
10
11
10
11
00
01
10
10
00
00
00
10
10
10
10
01
00
10
10
10
01
00
10
00
10
10
01
11
00
11
00
00
00
10
10
00
11
00
10
10
00
10
00
11
00
10
10
00
10
10
00
01
11
00
00
10
10
11
00
10
00
00
00
10
10
11
00
00
01
10
11
11
11
10
00
10
11
01
00
00
00
10
10
11
00
11
11
00
01
00
10
00
10
00
10
11
00
00
10
10
01
00
10
00
00
10
10
10
11
10
00
00
10
00
11
00
00
00
00
01
00
00
10
00
00
10
10
11
11
10
11
11
01
10
10
11
01
00
11
00
01
11
11
00
00
10
00
01
00
10
01
00
00
10
11
11
11
10
11
01
10
01
01
11
10
01
10
10
00
00
00
10
01
00
00
10
10
01
10
11
10
01
00
00
10
10
00
10
00
00
00
10
10
11
10
00
10
11
01
00
10
11
10
00
10
10
01
00
10
00
10
11
00
00
10
00
01
00
00
11
10
10
01
00
11
00
01
10
00
00
00
00
01
10
10
10
10
11
10
11
00
10
00
01
01
11
10
01
10
10
00
01
10
01
00
11
00
00
11
10
11
00
00
10
01
00
10
00
01
00
00
11
11
10
01
00
00
10
11
00
01
10
11
01
00
01
10
00
00
10
00
10
00
00
00
10
00
00
00
10
11
10
00
11
11
01
00
00
10
00
10
01
00
10
00
00
10
10
10
10
00
11
11
10
10
00
10
01
10
00
00
11
10
11
01
00
11
10
01
00
00
10
10
10
00
11
10
10
01
00
00
10
11
00
00
01
10
01
10
11
01
01
10
10
10
01
10
10
00
01
10
01
11
10
01
11
00
10
00
00
00
10
11
10
10
00
00
10
00
00
00
10
10
00
11
01
11
10
01
10
01
11
00
11
10
11
00
11
10
00
00
10
00
00
00
10
10
01
00
11
00
01
00
01
11
11
00
10
00
00
10
10
00
00
01
10
11
10
10
10
10
01
10
00
00
10
00
00
10
11
00
11
00
10
10
11
10
01
01
10
10
01
00
10
00
00
00
11
11
00
00
10
00
00
01
10
01
10
00
00
00
00
11
10
00
01
01
10
10
10
00
11
10
00
00
10
10
10
10
00
01
10
01
10
10
11
11
01
01
10
01
10
01
10
11
00
11
00
01
10
11
00
10
10
10
00
00
10
01
11
10
00
10
11
01
11
00
01
00
01
00
11
00
00
10
10
11
10
00
00
10
11
11
01
01
10
11
00
01
00
11
10
10
00
00
11
01
11
00
00
10
10
01
11
11
00
11
10
00
00
00
11
11
00
00
10
01
10
10
00
00
00
01
00
11
11
11
01
10
10
01
10
11
10
00
00
11
00
11
00
00
10
01
00
10
11
11
00
10
00
00
10
00
11
10
01
00
00
10
00
00
00
00
10
00
10
01
00
10
10
11
00
11
11
10
00
10
01
01
01
11
11
00
00
10
10
01
10
10
00
00
00
10
00
01
00
01
10
00
00
10
10
10
11
00
10
10
00
01
00
10
01
00
01
01
00
00
10
11
00
10
11
00
00
11
11
10
01
10
00
01
10
10
01
11
11
00
01
00
01
10
11
10
00
10
10
11
10
11
01
10
10
11
10
00
11
11
11
01
11
00
01
10
00
00
00
11
10
00
00
01
11
11
11
00
01
00
10
01
10
00
01
00
10
01
00
11
00
00
10
11
10
01
11
10
10
00
10
00
10
01
00
01
00
00
00
10
10
00
00
01
01
11
00
10
10
00
11
00
11
01
00
01
10
00
10
01
10
00
00
11
00
10
00
10
00
10
01
00
11
10
11
00
11
10
10
00
01
10
11
00
10
00
00
01
11
01
00
00
00
00
10
00
11
11
10
10
00
10
11
11
01
01
00
10
10
11
11
01
00
10
10
00
10
00
00
00
10
11
10
00
00
00
11
10
01
10
01
01
11
10
00
00
11
00
00
10
01
11
11
10
00
00
00
11
11
11
01
00
11
00
01
00
10
10
00
10
10
10
00
10
00
01
00
11
10
00
01
10
10
00
00
10
01
11
00
10
11
10
10
10
00
10
10
00
00
00
01
01
10
00
01
01
00
10
01
00
01
00
11
10
10
11
00
01
11
00
10
01
00
01
00
10
10
00
00
10
10
01
10
10
00
01
10
11
00
01
00
11
10
10
00
10
10
11
10
00
10
00
10
10
11
01
10
01
00
10
01
00
10
10
01
00
00
00
11
10
10
00
00
10
00
00
00
10
10
00
10
10
10
00
00
00
01
10
11
10
11
10
10
00
01
01
00
00
10
00
00
00
11
01
10
11
11
00
10
11
11
00
10
10
01
11
01
00
11
10
11
11
00
01
10
10
00
01
01
11
11
00
00
10
11
10
00
00
10
10
11
00
10
10
10
00
10
10
00
10
01
00
10
00
00
01
10
10
00
11
11
00
00
10
10
00
11
10
10
00
00
00
00
10
00
10
01
11
10
11
11
10
11
10
10
00
00
10
10
10
00
10
11
10
01
01
00
10
00
00
10
11
11
00
01
00
00
00
11
11
01
10
10
00
01
00
11
10
00
01
10
11
00
00
10
00
10
00
10
10
00
10
00
00
01
11
10
10
00
01
10
11
00
11
10
00
10
00
10
11
10
00
10
10
10
11
10
11
11
11
00
11
11
01
11
00
10
10
00
00
11
10
01
10
00
00
00
01
11
11
00
11
00
01
00
11
10
01
10
10
01
10
01
00
10
10
01
11
10
00
01
11
00
00
11
00
01
00
11
00
00
00
10
00
00
11
00
00
01
00
10
11
00
00
01
00
10
10
10
10
10
01
10
00
01
00
11
00
01
10
00
00
11
00
00
10
10
10
00
01
10
00
01
11
00
01
10
00
00
10
01
00
11
10
00
00
01
00
10
00
10
11
01
01
00
10
10
10
00
10
00
00
10
10
10
01
10
00
11
10
01
10
00
00
00
01
11
10
10
10
11
10
11
00
00
01
00
01
10
10
01
10
00
10
10
01
10
01
10
10
01
00
10
01
01
10
00
10
10
01
00
00
10
10
01
00
10
00
10
11
00
00
00
11
00
01
01
00
10
01
10
11
11
01
01
00
00
10
10
01
01
01
10
11
00
00
10
00
11
10
00
00
10
11
00
00
10
00
00
10
11
00
10
00
00
01
11
10
10
01
00
01
11
10
00
00
00
00
10
10
00
10
10
00
00
11
10
00
10
11
00
01
00
11
10
10
10
00
00
10
10
01
10
10
00
11
11
11
00
00
10
00
10
01
00
10
10
10
10
01
10
11
01
10
00
00
10
11
01
00
01
00
01
01
00
11
10
10
00
10
10
11
11
00
01
00
01
01
10
11
11
11
01
00
10
00
00
10
11
11
10
11
10
01
10
10
00
00
10
10
10
10
00
10
11
01
10
10
00
10
00
00
10
10
11
10
00
10
00
00
10
00
10
01
00
10
00
11
01
01
11
10
00
11
10
10
11
01
01
01
11
10
10
00
10
01
10
01
00
11
00
10
00
11
00
10
10
01
01
00
00
10
10
00
01
10
11
00
01
01
10
01
00
10
10
01
01
10
10
10
00
10
11
00
01
00
11
00
10
11
11
11
00
10
10
00
00
10
01
11
11
01
10
00
11
10
00
00
10
11
10
00
01
11
10
00
01
11
10
00
10
10
00
10
00
01
10
10
00
00
01
01
00
11
11
00
00
10
01
00
10
00
10
00
11
00
11
10
10
10
10
00
10
00
00
11
11
10
00
00
00
00
10
10
00
00
00
00
00
01
01
11
10
01
10
00
11
10
00
10
10
00
00
10
11
10
10
10
00
00
11
10
10
01
00
00
00
11
00
00
10
10
01
00
10
10
00
11
00
10
01
00
10
10
10
00
10
10
01
10
10
00
11
10
00
00
10
01
00
11
11
00
00
11
00
01
00
10
10
00
10
11
11
01
11
11
01
10
01
10
00
11
11
00
01
01
11
10
10
00
01
10
11
10
11
10
11
01
00
10
11
11
10
10
11
11
00
00
00
10
11
00
01
11
00
00
00
01
10
10
00
00
10
11
11
00
10
00
10
10
00
01
10
10
10
10
01
11
00
01
11
11
00
00
01
00
10
00
00
10
01
00
10
11
00
10
10
01
11
01
00
11
10
01
00
10
00
10
11
00
00
11
11
00
10
00
00
11
10
00
00
00
00
11
00
10
10
00
00
00
10
00
11
10
10
10
10
10
10
00
00
00
10
11
00
01
10
10
00
10
10
00
10
11
00
00
10
10
01
10
11
00
10
10
01
00
11
10
00
11
01
00
10
11
01
11
00
01
01
10
01
00
10
10
10
00
10
00
01
11
10
11
00
10
11
01
00
10
10
00
11
10
00
00
10
00
10
11
10
01
10
01
00
10
00
10
01
10
11
00
11
11
01
10
10
01
00
11
10
10
10
00
10
11
01
01
01
10
00
01
10
11
10
00
00
10
10
11
10
01
11
00
10
10
00
00
11
00
11
00
10
10
11
01
11
11
00
00
10
01
10
01
00
11
10
00
00
00
00
11
00
00
01
00
01
11
01
00
10
01
10
00
00
11
11
00
10
11
01
00
10
11
01
01
10
00
00
10
10
10
00
00
01
11
00
10
10
01
00
10
10
11
11
00
00
00
10
00
11
11
10
10
11
00
00
00
00
10
10
10
10
10
10
10
00
10
10
10
10
00
10
10
11
01
11
01
10
10
01
01
00
10
10
00
00
11
10
01
00
00
00
10
00
01
01
11
01
10
10
00
11
00
01
10
10
10
11
00
01
10
11
01
11
11
00
00
10
00
00
01
10
10
00
00
10
11
00
00
10
11
10
11
11
01
11
10
00
00
01
11
01
10
11
00
01
10
00
00
10
11
01
00
10
10
00
11
00
01
10
01
10
11
01
00
00
10
10
10
01
10
00
01
11
11
11
00
10
10
10
01
00
11
00
10
01
01
10
10
01
01
00
11
10
01
10
00
00
10
01
00
10
00
00
10
11
01
11
10
00
11
10
10
10
00
01
11
01
01
00
11
10
00
11
11
11
00
00
10
00
10
10
00
00
11
01
10
10
10
00
00
10
00
00
01
10
00
10
10
00
10
10
11
10
01
00
10
01
01
00
11
00
00
10
00
10
00
01
11
10
00
00
10
00
11
11
10
01
01
00
10
00
00
10
01
10
10
01
01
10
11
00
10
10
00
00
00
01
10
10
01
01
10
00
00
00
11
10
10
10
11
00
00
00
11
00
10
01
00
00
10
11
10
10
00
00
10
00
00
01
00
01
10
11
01
10
01
00
10
11
10
11
10
00
00
10
11
00
11
11
10
01
01
10
00
01
10
10
10
00
10
10
10
01
10
10
00
00
10
01
10
10
00
10
10
11
10
00
01
10
00
01
00
00
10
10
01
00
10
00
00
10
01
00
00
00
10
01
00
11
11
11
01
00
00
11
11
01
11
10
00
00
00
10
00
01
10
00
10
00
10
01
10
00
00
11
00
11
00
10
10
00
10
10
01
01
01
00
10
11
10
10
00
10
10
11
01
11
10
10
00
00
10
00
01
10
00
00
10
01
10
00
00
01
00
10
01
11
00
11
01
00
11
01
00
00
00
10
10
00
10
00
11
11
01
11
10
00
11
11
00
00
10
11
00
01
00
00
10
10
00
10
10
01
01
11
11
10
00
00
10
00
10
11
00
00
01
10
00
00
11
00
11
10
10
00
01
00
01
10
10
11
00
10
00
11
01
10
10
00
11
00
10
10
11
00
10
10
01
01
10
10
00
11
00
01
10
11
10
10
00
00
10
00
10
10
01
01
10
10
11
11
00
00
00
00
10
11
00
01
01
11
00
01
10
01
01
11
10
00
00
10
00
10
11
00
10
10
11
00
01
00
00
01
10
01
11
00
00
00
10
10
10
00
10
11
00
00
00
00
10
00
10
00
11
01
11
11
00
00
01
10
10
11
00
00
00
01
10
11
10
10
00
00
00
00
11
00
10
00
00
11
11
01
10
10
11
01
11
10
10
00
00
10
00
00
11
01
00
10
10
11
10
00
11
10
11
11
10
11
00
00
10
01
00
11
11
01
10
10
00
01
11
00
11
10
10
00
01
10
00
01
10
00
01
11
01
00
01
00
10
11
00
11
10
10
11
10
00
00
00
00
00
10
11
11
00
10
11
10
00
11
10
01
11
11
00
11
01
00
10
10
10
00
10
10
01
10
10
00
00
11
00
01
00
01
10
10
10
00
10
00
00
10
01
00
01
01
10
10
10
11
00
10
10
10
10
00
01
00
11
10
01
01
01
01
01
10
11
00
01
10
10
00
00
00
10
10
00
00
10
01
01
11
10
10
00
10
01
10
10
01
10
10
11
11
00
10
10
11
01
01
10
00
11
00
01
10
00
00
01
00
01
11
10
00
00
01
10
00
01
11
00
00
11
11
01
11
11
01
00
00
11
00
10
00
00
10
00
10
10
00
00
00
10
11
10
00
10
01
00
01
11
00
10
10
00
10
10
00
00
10
10
00
00
00
10
01
00
00
00
10
10
11
00
11
00
00
00
01
10
10
10
00
10
10
01
00
01
10
10
10
01
10
00
11
10
01
11
10
00
00
00
00
00
00
10
00
00
10
10
10
10
11
10
10
10
11
01
10
01
00
00
01
11
00
00
10
10
10
00
10
10
10
00
00
00
00
10
00
01
10
10
10
00
00
10
11
11
11
00
01
11
01
01
00
01
11
10
00
01
11
10
01
10
11
00
10
10
10
01
01
00
10
00
00
00
00
00
11
10
11
00
10
10
00
00
00
11
00
01
10
01
11
00
00
11
10
01
11
10
10
00
01
00
11
11
11
10
10
00
11
00
01
10
10
00
11
00
10
10
00
00
10
01
00
01
00
10
00
11
10
11
00
00
11
10
10
01
10
01
10
10
10
10
01
10
11
10
01
11
01
00
11
10
00
00
10
00
00
01
01
11
10
01
10
10
00
01
10
11
00
00
01
11
11
10
01
01
00
11
00
11
10
11
11
10
10
00
10
10
10
00
00
10
10
10
10
11
11
00
00
11
00
10
10
00
10
11
00
10
00
00
01
01
11
10
00
10
10
00
00
00
10
01
00
00
00
00
10
00
10
11
01
01
11
00
00
00
00
00
00
11
11
00
10
10
01
00
10
11
01
10
11
01
00
01
11
01
10
10
01
00
10
00
00
00
00
01
10
10
11
11
10
00
10
00
10
10
00
00
10
10
00
00
01
11
00
00
11
10
10
00
01
11
11
01
11
00
11
00
11
10
00
01
00
01
10
10
00
10
11
00
00
10
10
10
10
10
00
00
10
10
00
11
00
00
00
10
01
10
11
00
11
10
11
00
01
01
10
11
00
10
11
11
00
01
10
01
10
11
10
00
11
11
01
00
00
11
00
00
00
00
10
11
01
01
00
10
10
10
10
10
00
00
10
10
11
00
11
10
00
10
10
00
01
11
01
00
00
10
10
10
10
00
00
00
10
00
00
00
01
00
00
00
11
01
10
10
10
00
00
00
00
10
00
00
01
10
11
01
00
01
11
10
00
00
11
00
11
11
10
01
00
10
00
10
10
01
10
10
10
00
10
00
11
10
11
01
00
01
00
10
10
10
10
00
00
11
10
01
11
11
00
00
00
00
10
10
00
01
01
00
10
01
10
11
10
10
00
10
10
01
00
11
01
01
10
11
11
10
00
01
01
10
00
00
00
01
00
10
10
00
00
10
01
00
00
10
00
01
01
01
10
11
10
10
00
01
01
01
10
11
00
00
00
00
00
10
00
00
10
00
01
11
11
01
11
10
10
00
01
10
11
00
01
10
10
01
10
11
00
00
11
10
00
01
10
10
01
11
00
01
10
10
00
01
00
00
01
10
01
01
10
11
01
11
11
10
00
10
10
00
01
10
10
00
10
10
01
00
11
10
00
11
00
00
01
11
00
00
10
10
10
01
10
01
10
01
11
10
11
10
00
00
11
11
01
11
10
10
11
10
10
00
00
10
10
00
00
01
00
11
00
01
00
00
01
11
10
01
10
10
01
11
10
10
11
01
00
10
10
00
00
10
00
01
00
00
00
11
00
00
11
10
01
00
00
11
01
10
10
00
01
01
10
10
00
00
10
11
00
01
00
11
10
10
11
11
11
00
00
10
10
00
00
10
10
10
01
11
00
00
00
11
10
00
10
10
00
00
10
01
10
00
00
01
00
00
10
00
01
10
10
10
11
00
00
11
10
10
10
00
01
00
00
01
01
10
10
10
01
11
10
11
10
10
01
00
01
10
10
01
10
01
00
00
10
00
10
10
00
00
00
10
01
01
00
00
00
10
00
10
10
10
00
00
10
01
00
10
00
11
10
00
01
00
11
10
01
11
10
00
10
10
00
10
01
00
00
10
10
00
00
00
11
11
00
00
10
11
00
10
01
10
11
10
10
00
01
00
11
00
00
11
10
00
00
10
10
10
00
00
10
00
10
10
00
01
10
10
10
00
01
11
01
00
00
00
10
00
11
00
01
10
10
00
00
00
10
00
11
11
00
11
10
00
11
00
11
00
10
10
01
00
10
10
00
10
01
10
10
10
01
00
10
00
00
00
10
01
10
01
00
11
00
00
00
10
11
10
10
00
11
11
11
00
00
11
01
00
00
10
01
11
10
00
10
01
11
00
01
10
01
10
10
10
01
10
11
10
10
01
00
01
00
10
10
10
00
01
10
00
11
10
00
11
01
00
10
10
10
10
00
10
11
00
11
10
00
00
00
10
00
10
10
10
00
10
00
00
01
10
00
00
01
01
11
00
11
00
10
11
01
10
00
00
10
00
01
10
00
00
01
10
10
00
11
01
10
10
00
00
11
10
10
00
00
00
00
10
00
00
10
10
00
00
00
10
10
00
10
10
01
11
00
10
10
11
11
01
00
00
01
00
10
01
01
10
10
00
01
00
10
11
01
11
01
10
10
01
10
10
11
01
10
10
10
10
00
11
00
00
10
10
00
10
00
10
11
01
11
10
10
10
00
11
10
00
00
01
00
01
00
00
11
11
11
11
00
10
00
00
10
00
10
11
11
11
11
10
01
00
11
00
00
10
10
00
00
10
10
11
00
10
10
10
00
00
10
11
00
00
00
11
10
01
11
10
11
11
00
00
00
10
10
00
01
11
10
00
00
11
10
00
01
10
00
00
00
11
01
01
10
10
00
10
10
00
00
11
01
11
10
11
11
10
10
01
10
00
10
00
01
00
01
01
10
10
10
10
01
11
11
10
00
10
10
10
10
00
01
11
10
10
10
10
10
01
10
00
10
00
10
11
11
10
10
10
00
10
10
01
00
10
10
00
00
00
00
10
01
00
10
10
01
00
00
00
10
10
00
00
10
00
10
10
00
10
10
00
10
01
01
01
10
10
00
11
10
00
11
01
00
00
10
10
11
11
01
00
11
10
00
10
01
01
11
10
11
01
10
10
00
01
01
00
10
00
00
10
10
11
00
00
01
00
01
11
00
01
01
00
10
10
00
10
10
00
00
10
10
11
10
10
00
11
01
01
00
01
10
10
00
01
11
11
00
00
01
10
10
00
01
10
00
10
11
10
10
00
11
00
00
11
01
00
10
01
11
00
10
00
01
00
10
10
10
10
00
01
11
11
01
10
00
00
00
10
11
00
00
10
10
10
01
01
01
00
01
00
10
10
00
11
11
10
10
00
11
01
10
00
00
10
11
10
00
00
10
00
01
00
11
10
11
11
01
00
01
10
00
11
10
01
10
10
00
00
10
00
10
11
00
10
00
01
11
00
00
01
10
11
01
10
11
11
10
00
10
10
00
00
11
11
10
11
10
00
01
10
01
10
11
01
01
01
11
10
00
10
00
11
10
01
10
10
01
10
01
10
00
10
11
00
00
10
10
00
11
10
10
00
10
00
01
00
00
00
00
00
10
01
10
10
00
10
10
10
00
00
11
00
01
10
10
10
00
11
11
10
01
00
00
01
10
00
10
01
00
00
01
10
10
01
00
11
10
00
10
00
00
00
11
01
11
11
10
00
01
10
10
11
11
10
10
00
00
00
00
10
00
11
10
10
01
10
00
00
00
10
10
01
00
11
10
00
01
00
00
00
11
11
00
11
11
00
00
10
11
00
00
10
00
10
01
10
10
00
01
10
10
10
01
00
11
10
11
11
10
10
01
00
10
00
11
00
01
10
00
00
10
11
10
00
01
11
11
10
11
00
00
01
10
10
01
10
01
01
10
00
00
00
00
00
11
11
01
11
10
01
10
00
10
00
01
10
01
01
10
11
00
00
10
10
01
00
11
10
11
10
10
10
00
00
10
11
01
00
10
10
11
01
00
00
11
10
10
00
10
10
01
00
00
00
10
00
00
00
10
01
10
00
01
00
00
11
01
10
11
10
11
00
10
10
01
11
10
01
01
01
11
00
00
10
10
00
10
11
10
01
00
01
10
10
10
00
10
10
00
01
00
00
10
01
00
00
11
10
11
00
00
00
00
11
10
11
01
10
10
00
00
00
10
10
10
10
00
01
00
10
01
10
00
10
10
00
10
10
10
10
00
11
10
11
00
10
00
00
10
00
00
11
00
00
10
10
10
10
00
00
00
10
00
00
10
10
10
10
11
01
10
11
11
11
10
11
01
00
10
01
10
11
10
00
11
11
11
00
10
10
10
01
10
00
01
11
11
01
11
10
00
00
11
00
00
00
10
10
01
10
11
01
11
00
10
10
10
00
00
11
00
11
10
11
00
11
11
11
01
10
00
10
00
00
11
00
01
10
10
11
00
00
11
10
00
00
01
01
00
10
10
10
01
10
01
11
00
00
00
10
10
11
00
01
10
10
00
11
10
11
00
00
00
00
00
10
01
00
11
01
00
10
00
10
10
10
00
11
01
00
10
00
01
10
01
00
10
00
11
11
10
01
00
10
10
10
10
00
00
10
01
00
10
01
00
00
10
01
10
00
00
00
01
01
01
11
10
10
00
00
11
00
00
10
00
11
10
00
00
00
10
11
11
01
00
11
01
00
00
10
00
00
01
10
10
11
00
00
10
01
01
10
11
00
11
11
10
00
01
10
10
01
00
10
01
00
11
10
00
00
11
00
00
00
10
01
10
01
11
10
00
11
11
01
00
10
10
10
00
11
10
00
01
10
10
00
00
00
10
01
10
11
00
10
10
11
11
00
10
10
00
00
11
11
01
00
00
00
10
10
01
00
11
10
10
01
10
10
10
01
01
00
10
00
10
00
10
11
00
00
00
11
00
01
01
10
10
10
10
00
01
10
01
00
11
11
01
00
11
01
11
00
11
10
00
10
10
00
00
00
10
00
00
11
00
00
10
10
00
01
10
11
00
10
11
10
01
00
01
10
11
00
01
11
10
10
01
10
11
01
01
10
11
11
01
01
10
01
00
10
10
01
00
10
10
11
10
10
10
00
11
01
10
00
10
10
11
10
10
10
10
01
00
10
11
00
10
01
11
00
10
11
00
01
10
01
00
10
10
01
10
11
01
00
00
11
00
10
00
10
11
10
10
00
10
01
10
01
01
00
01
10
00
00
01
10
10
00
01
01
00
00
10
11
00
00
01
10
01
00
11
00
00
10
10
10
00
10
10
10
00
10
00
00
10
10
00
01
11
10
11
00
00
00
01
10
10
00
00
10
11
11
01
00
00
01
00
00
10
10
00
01
11
01
10
00
00
11
10
11
00
00
10
00
00
10
00
00
00
01
10
00
00
10
10
10
00
00
11
00
00
00
00
01
00
01
10
11
01
10
01
01
00
10
11
10
00
10
10
00
00
00
01
10
01
01
10
00
10
10
10
11
01
00
11
11
00
01
11
10
00
00
11
00
01
00
10
00
11
01
01
10
00
01
10
11
00
10
11
00
11
10
10
00
00
00
10
10
00
01
11
11
00
00
00
00
11
10
10
00
10
00
01
10
01
01
10
11
00
01
11
11
00
10
01
00
00
01
11
10
10
00
00
10
01
01
11
00
00
11
11
11
01
00
11
01
00
00
00
11
10
11
00
01
01
10
00
00
11
11
00
00
11
10
01
10
10
01
11
11
00
00
11
11
01
01
10
10
10
10
10
00
01
10
10
00
00
10
01
00
01
11
11
00
01
11
10
11
11
00
10
10
00
00
00
11
10
11
00
00
00
10
11
00
10
01
10
10
01
11
11
00
00
11
11
10
10
01
00
01
11
11
10
10
11
00
00
00
00
10
01
10
00
01
10
10
11
11
01
01
11
10
00
01
10
10
00
00
10
11
10
11
01
11
10
00
00
00
00
00
11
11
10
01
00
00
11
00
10
10
11
00
00
00
00
00
10
10
11
10
00
00
00
10
10
10
00
00
01
10
10
10
01
00
10
10
10
00
00
00
11
00
01
11
00
11
11
00
00
11
10
00
00
10
10
00
01
00
01
10
01
00
10
10
00
00
10
00
00
00
11
10
10
00
10
10
10
10
00
00
11
11
01
00
11
00
00
10
10
00
11
11
01
10
10
00
11
00
10
11
00
11
10
10
00
10
10
00
11
00
00
01
11
10
10
10
11
10
00
00
11
10
10
00
01
01
10
10
11
10
00
01
11
10
00
00
00
10
10
00
10
11
00
01
10
00
10
10
00
00
00
10
11
11
10
11
11
00
00
01
10
00
00
11
01
00
11
00
00
00
00
10
01
01
11
00
11
01
00
00
10
11
00
00
11
00
00
10
10
11
10
10
11
10
00
11
01
00
00
10
11
00
10
11
00
11
10
10
00
10
11
10
11
00
01
10
11
11
10
01
01
00
10
11
01
11
10
10
00
00
11
00
00
00
00
10
10
10
00
00
11
00
00
10
10
01
00
01
00
10
01
11
10
01
10
10
10
00
00
10
10
00
00
00
10
11
11
00
10
10
01
10
11
00
00
10
11
11
10
00
10
11
10
11
01
10
01
00
10
11
01
00
11
10
00
00
00
11
11
10
00
01
00
00
00
10
10
00
00
00
11
10
10
00
00
00
00
10
01
10
10
10
00
10
10
01
10
01
10
00
10
01
10
01
11
10
10
00
00
10
10
01
10
00
00
00
00
00
11
10
00
01
10
11
00
10
00
01
00
11
11
00
10
01
10
01
10
10
01
00
10
01
00
10
10
01
00
00
10
00
00
11
00
10
01
01
10
01
10
01
00
10
01
00
00
10
11
00
01
00
11
00
10
00
00
00
11
10
00
10
10
11
00
00
01
01
10
10
10
00
00
10
11
00
10
10
01
10
11
00
00
00
10
11
00
11
10
00
01
00
00
10
10
00
01
10
01
00
00
00
01
00
01
00
10
10
10
00
00
10
10
00
11
00
00
11
10
10
10
01
10
11
10
00
00
10
11
11
10
10
01
01
11
01
11
11
10
10
01
01
10
11
01
00
00
10
11
00
10
11
10
11
10
00
00
00
11
00
11
11
00
11
10
10
11
00
00
00
11
10
00
00
11
01
11
00
10
00
10
00
00
11
00
00
01
00
01
10
10
11
10
10
01
01
00
11
10
10
10
10
00
11
00
00
11
10
00
10
11
00
01
10
00
01
10
10
00
00
10
11
00
11
10
10
10
00
10
11
00
00
00
00
10
01
10
10
00
01
00
00
10
10
10
10
01
00
10
00
11
00
01
10
00
11
00
10
00
10
10
11
00
00
10
01
00
10
11
11
01
00
01
01
00
10
10
11
00
01
11
01
11
01
01
11
10
00
00
10
11
01
00
01
00
00
00
00
10
10
11
11
11
00
10
00
10
00
10
00
00
10
10
11
00
01
01
01
10
00
11
11
10
01
00
11
10
10
01
01
10
00
10
01
10
11
11
11
00
00
10
00
01
01
11
01
01
10
11
10
01
00
00
10
10
10
10
00
00
00
01
00
11
00
00
00
10
10
11
10
00
10
00
00
11
01
01
00
10
00
01
11
00
10
11
10
00
10
01
10
00
00
10
00
11
11
10
11
10
00
11
00
00
00
10
01
00
10
10
00
00
01
00
10
10
00
01
10
11
00
00
10
00
01
11
10
11
01
10
00
10
10
10
00
01
00
10
01
01
10
10
00
11
10
11
00
00
11
11
00
00
00
00
11
11
11
00
00
01
10
11
10
00
11
00
00
00
11
11
00
10
10
00
00
00
00
10
00
10
00
11
01
11
10
01
10
00
10
11
11
00
01
10
00
00
01
11
00
00
10
10
10
00
11
10
00
11
01
10
10
00
11
10
00
00
01
10
11
10
01
10
10
10
11
10
00
10
10
00
01
00
00
10
10
10
00
01
10
11
00
00
10
10
00
01
10
10
00
10
10
00
11
00
10
10
00
00
10
11
10
11
10
00
00
01
00
00
00
11
01
10
00
11
00
01
00
00
11
01
01
00
10
10
10
00
11
11
01
01
00
11
00
01
11
11
01
10
10
00
00
10
10
00
10
10
00
01
00
01
10
00
10
11
10
00
11
11
10
11
00
00
01
00
10
11
00
00
00
11
00
11
00
10
01
01
10
10
00
00
01
10
10
10
11
10
10
01
10
00
11
10
00
10
11
01
00
10
01
01
00
00
00
10
00
11
01
01
10
00
10
00
11
11
01
00
11
10
10
00
01
11
10
00
11
00
10
10
01
00
10
10
00
10
00
01
00
11
00
11
10
10
00
10
10
00
10
00
00
00
10
00
01
11
00
10
01
10
01
00
10
10
11
01
00
00
10
00
10
01
10
11
01
00
10
10
10
10
00
10
10
01
01
00
01
01
10
10
10
10
01
11
00
01
10
01
00
01
10
10
01
01
00
10
10
11
10
01
00
10
01
00
10
10
01
10
00
11
10
01
00
00
11
00
00
00
00
10
00
00
00
01
00
10
00
01
10
11
10
01
00
10
10
11
00
10
11
00
11
00
10
00
00
10
01
00
10
01
01
00
10
00
10
01
00
10
10
01
00
00
00
00
00
01
01
10
11
11
10
01
10
00
01
10
11
10
00
01
01
11
00
10
10
00
00
01
01
11
11
01
01
01
00
10
10
00
00
10
01
00
00
01
11
01
10
00
10
11
00
11
11
00
00
00
00
01
10
11
10
00
10
10
11
10
00
01
00
10
01
11
01
00
00
00
00
11
10
01
11
01
00
10
01
01
11
01
11
10
00
01
01
10
10
11
01
00
11
10
10
01
00
01
11
01
01
00
10
00
10
01
01
10
10
01
10
01
10
11
00
10
11
00
11
11
11
10
11
00
00
11
00
00
11
10
01
00
00
01
01
10
00
00
10
10
11
00
10
10
10
00
00
01
00
00
10
10
11
11
01
00
10
10
10
00
01
00
11
10
00
10
00
11
11
00
10
00
10
01
00
11
10
10
00
10
00
01
00
10
11
10
11
11
01
01
01
10
00
10
11
11
00
00
10
10
00
00
11
10
00
00
10
10
11
10
01
00
01
10
00
01
11
00
00
10
00
00
00
10
10
10
10
00
00
00
10
10
00
11
10
00
10
01
00
11
00
01
11
10
01
10
01
01
10
00
10
00
11
10
00
10
01
10
11
10
11
10
11
00
00
10
10
01
10
10
01
11
10
00
10
11
10
00
01
10
11
00
11
00
10
00
10
10
00
11
10
00
10
11
10
10
00
01
11
11
01
01
10
00
11
11
01
00
10
10
10
10
10
00
10
10
00
00
00
11
00
01
10
10
10
00
10
00
10
10
11
01
00
00
10
00
01
01
10
01
00
00
00
01
10
11
00
11
10
10
00
00
00
10
00
10
11
10
00
00
11
11
10
00
00
10
10
10
10
00
01
01
00
00
01
10
11
00
10
10
00
10
10
00
00
00
10
00
10
00
11
00
00
10
10
11
10
10
00
10
11
00
11
00
01
00
11
10
00
10
00
00
00
00
10
00
01
10
11
10
00
10
00
10
11
00
00
00
01
11
10
10
00
00
00
11
10
10
11
01
11
00
10
00
10
11
11
01
10
10
00
01
00
11
10
01
00
00
10
00
11
00
00
00
10
10
11
01
11
10
01
01
10
11
01
00
10
11
10
10
01
10
11
01
10
01
10
01
00
10
00
10
11
00
01
00
01
10
10
11
00
00
11
11
00
00
11
00
10
00
01
11
00
00
10
00
01
11
10
10
00
01
11
01
01
10
11
00
00
10
11
10
10
01
01
10
10
00
10
10
00
00
10
11
11
00
00
00
00
11
10
11
10
10
10
10
00
11
10
01
00
10
00
00
10
10
00
00
00
00
11
01
00
10
11
00
00
10
11
10
10
01
01
10
10
11
01
10
01
11
11
11
00
11
00
00
11
00
00
10
11
10
11
01
00
00
10
01
01
00
00
10
10
11
00
11
00
00
00
11
10
00
00
11
00
01
11
10
01
11
10
11
10
00
10
00
00
00
10
10
00
00
11
10
10
00
10
00
10
10
01
00
11
10
00
00
10
10
01
00
10
11
01
10
11
10
01
00
10
11
00
01
10
11
00
01
10
11
10
01
01
01
00
10
00
10
10
00
10
11
00
00
11
11
00
00
10
00
10
11
00
01
11
11
10
00
10
01
01
11
10
01
01
01
01
10
00
00
00
11
10
10
00
01
00
10
10
00
10
10
11
10
10
00
00
10
10
00
01
11
00
00
10
10
11
00
00
10
00
01
11
10
10
10
00
01
00
00
00
10
10
01
11
11
01
00
11
00
10
10
00
00
11
10
10
10
00
01
10
01
11
00
11
00
11
10
01
10
11
01
01
01
10
01
11
01
01
01
10
11
00
00
00
10
10
00
11
10
11
10
01
00
01
00
01
10
00
01
10
00
10
01
10
00
00
11
01
10
11
00
01
00
01
11
10
10
00
00
10
00
00
10
01
11
01
00
11
01
11
00
00
10
10
00
00
11
10
10
00
11
10
10
00
01
01
10
10
11
01
10
10
00
00
10
10
01
10
10
01
10
11
00
00
11
10
10
11
00
01
10
00
00
10
10
10
11
00
00
10
00
11
11
10
10
10
00
01
10
00
01
00
11
10
00
00
10
00
11
10
00
11
11
10
10
00
10
01
01
10
11
00
00
10
00
00
10
00
00
10
01
11
10
01
11
00
11
00
00
11
10
00
01
10
10
00
00
11
00
10
10
11
01
10
01
10
00
01
10
01
00
10
11
00
01
00
11
10
01
11
10
01
00
11
00
10
10
11
00
00
11
10
00
00
00
11
01
00
10
00
10
00
00
01
00
10
00
10
01
01
10
11
00
00
00
00
00
10
11
00
10
10
00
10
10
00
01
10
00
11
10
00
00
00
00
10
11
00
10
00
00
00
11
00
00
00
11
00
00
10
11
00
00
01
10
00
11
00
00
10
11
01
01
00
11
10
10
00
00
00
10
11
00
10
11
00
00
00
00
11
10
10
01
00
10
00
10
00
00
10
10
10
00
01
01
10
01
01
01
10
10
01
11
01
10
10
00
01
10
10
00
00
10
11
01
00
11
00
10
10
00
11
00
00
10
01
00
00
00
10
01
11
11
00
00
10
00
10
00
10
11
10
01
10
10
00
01
10
10
10
11
10
00
11
10
11
10
00
00
00
00
00
00
10
10
10
11
00
01
10
00
11
10
10
01
00
11
10
01
00
01
10
10
00
00
10
11
01
00
10
10
10
00
00
10
00
11
10
10
00
00
01
11
10
00
01
10
00
00
10
00
11
11
00
10
00
00
10
00
00
00
10
00
01
11
11
11
01
00
10
10
11
10
00
00
00
10
11
10
01
00
11
00
10
00
00
00
11
10
00
10
10
01
01
11
10
10
10
11
00
00
00
11
00
10
01
10
01
00
10
10
11
11
10
11
11
00
00
01
10
01
00
01
00
10
10
10
10
11
10
11
11
00
10
11
11
11
10
00
01
00
01
01
00
10
10
01
10
01
00
11
10
10
10
00
00
10
10
01
00
11
11
10
10
10
00
00
10
10
10
01
10
10
01
00
11
10
11
00
00
11
10
10
00
01
10
01
00
10
10
01
01
00
10
10
00
10
10
10
00
10
11
00
00
10
00
10
00
00
10
10
01
00
00
10
01
00
11
01
01
00
10
10
01
10
11
00
11
10
00
00
10
01
01
10
00
10
10
00
00
11
10
00
00
01
10
10
01
00
01
01
00
10
10
11
11
01
00
00
10
10
00
01
00
01
10
10
10
10
00
11
10
00
00
00
01
10
00
10
11
10
01
11
11
00
10
11
10
00
00
10
00
00
10
00
00
11
10
00
00
10
10
11
00
10
10
01
10
11
01
01
00
11
01
11
11
00
11
10
00
11
00
00
01
10
10
00
10
10
11
01
10
10
01
00
00
00
00
11
10
00
10
10
10
00
00
10
10
00
10
01
01
10
00
10
10
01
00
11
10
01
00
10
00
01
10
10
00
01
10
01
00
10
00
11
11
01
00
10
10
10
00
00
11
11
00
01
11
00
10
11
00
00
01
11
00
11
10
10
00
10
00
00
10
11
00
00
11
10
10
00
11
10
00
01
00
00
10
10
11
00
11
10
10
10
01
00
11
10
10
00
01
01
00
10
10
10
01
11
11
10
00
00
10
01
10
10
01
10
10
00
10
00
00
10
01
00
11
11
01
10
11
10
00
10
10
11
00
00
10
11
01
10
00
01
00
10
01
11
11
00
01
10
10
11
10
10
11
10
00
00
10
01
11
00
00
10
10
10
11
01
10
11
01
00
01
10
01
00
10
00
00
00
10
10
00
11
11
00
00
01
01
10
10
00
00
10
10
10
00
10
00
01
11
00
00
00
01
10
10
11
10
00
00
00
00
10
10
01
00
10
00
01
10
10
11
00
01
11
00
01
10
11
00
01
10
00
10
10
10
00
10
10
10
11
11
10
10
10
00
00
00
00
10
10
00
00
11
10
11
10
11
11
00
00
00
00
10
10
00
01
10
10
10
10
10
00
11
00
00
10
00
01
10
10
00
11
10
10
01
00
10
00
00
10
00
00
01
00
11
11
11
10
10
01
00
00
10
01
01
01
11
00
00
00
01
11
00
10
10
00
00
01
01
00
00
11
01
00
10
10
01
00
01
10
10
00
10
01
00
10
11
10
10
00
10
11
10
10
10
00
10
11
10
01
00
10
00
11
00
00
01
10
10
00
01
10
01
00
10
00
00
10
11
00
00
10
10
00
00
00
00
01
10
01
11
00
01
00
10
00
01
10
10
01
01
10
01
01
00
10
10
00
10
11
01
10
11
10
10
10
10
00
00
00
11
10
10
10
10
11
10
10
10
01
01
00
01
00
11
10
00
10
10
10
01
01
10
10
10
01
10
10
00
01
01
11
10
11
11
01
10
11
01
01
10
10
11
00
01
00
11
10
01
11
10
01
00
11
00
00
00
00
10
11
10
10
10
10
11
00
10
11
00
11
10
10
01
11
10
00
11
00
00
00
10
11
00
00
00
00
11
00
10
00
00
11
10
00
11
11
00
00
10
11
10
01
01
00
11
00
10
10
10
00
01
00
10
10
11
01
10
10
00
00
00
00
11
01
00
00
01
10
00
01
11
10
00
01
11
10
01
10
00
10
00
00
10
10
10
00
10
10
10
10
00
11
10
01
00
11
00
10
01
00
10
10
01
01
01
10
10
01
01
00
00
11
10
10
00
01
11
11
01
11
10
10
00
10
10
00
00
11
10
10
11
00
10
00
01
01
00
11
10
00
00
10
00
00
11
10
00
10
10
00
01
10
01
01
10
11
11
10
01
00
10
00
10
10
10
01
00
01
01
01
11
01
10
10
01
11
00
00
10
01
11
00
00
01
10
00
10
10
01
00
10
01
10
10
11
00
10
10
11
10
10
00
01
11
11
11
00
01
10
10
10
00
00
10
11
00
10
10
00
11
00
10
00
01
10
00
10
01
10
10
10
01
00
00
01
11
10
00
00
10
01
01
00
10
10
00
00
01
00
00
11
11
00
10
00
10
00
01
11
00
00
10
10
00
11
01
00
10
11
00
01
00
10
10
10
10
01
00
11
00
10
00
01
00
11
10
10
10
01
00
10
00
01
10
11
10
00
00
10
11
00
00
10
10
00
00
00
01
11
01
11
10
00
01
00
10
00
00
10
00
11
00
00
10
00
10
11
10
00
00
10
10
11
00
11
01
10
11
10
10
10
11
00
01
10
10
01
00
00
10
10
01
10
00
10
00
10
11
00
10
10
00
00
11
11
00
10
11
00
10
01
00
01
10
00
01
01
10
01
00
11
10
00
01
11
01
10
00
00
00
00
10
01
10
10
00
11
11
01
00
11
10
01
11
01
00
11
11
00
01
10
00
00
00
11
10
00
10
00
10
11
01
10
10
10
00
10
11
00
00
10
10
00
00
00
10
11
01
10
10
10
11
00
00
00
00
00
10
10
01
01
00
11
01
00
11
11
01
11
10
01
01
10
10
10
01
00
01
10
00
00
00
01
00
00
10
01
00
01
10
00
00
00
10
10
00
00
10
10
10
10
10
10
00
11
11
10
10
10
10
00
00
11
10
01
11
10
00
10
11
10
11
11
01
01
10
11
00
10
11
10
01
01
11
11
11
11
01
10
10
00
11
00
01
11
10
11
00
00
01
11
10
01
01
00
00
00
10
11
10
00
00
00
10
11
10
01
10
10
10
10
10
01
00
11
00
10
11
00
01
01
11
11
10
11
00
00
00
00
10
10
10
01
01
10
00
10
00
01
01
10
00
00
00
10
10
10
10
00
10
10
01
00
00
01
00
11
11
01
10
11
01
00
00
01
10
00
10
11
10
10
01
01
10
10
01
10
10
10
10
00
10
00
00
10
11
01
01
00
00
10
10
01
10
11
00
01
01
11
10
10
00
11
00
01
01
10
11
10
11
00
10
10
11
10
01
00
01
01
10
01
11
00
10
00
11
01
11
00
00
00
00
00
00
10
10
00
00
10
00
00
00
00
10
01
10
11
00
00
01
00
00
11
01
01
10
01
10
10
11
00
11
10
00
01
00
10
11
10
01
00
10
11
10
10
10
11
01
00
00
01
10
11
01
11
10
11
10
10
01
01
00
10
00
10
10
10
00
00
10
00
10
10
10
00
00
11
11
00
10
10
00
10
00
00
11
10
10
10
01
00
01
00
00
10
10
00
10
11
10
01
00
10
00
01
10
10
10
11
00
10
10
11
11
00
11
01
10
01
00
00
10
10
00
00
10
11
00
00
11
11
00
10
11
00
01
10
11
10
00
10
01
10
10
01
00
01
11
01
00
00
01
10
10
10
00
00
11
10
11
10
00
00
10
00
01
00
10
10
01
01
11
10
01
00
10
10
01
01
11
01
01
10
10
10
00
00
10
11
00
01
10
10
00
01
01
00
10
10
11
10
00
00
00
10
10
00
11
11
10
11
00
00
11
10
00
00
11
10
10
10
00
00
10
10
00
10
11
11
00
00
10
01
10
10
00
11
10
10
10
00
01
00
11
00
01
11
10
11
10
10
00
00
10
00
00
10
10
01
11
01
00
01
00
01
10
11
00
00
01
11
01
00
00
10
00
01
11
00
00
11
10
10
10
10
00
10
11
11
10
10
10
00
01
10
10
00
11
01
01
10
10
00
01
00
00
10
11
11
00
00
00
10
10
00
00
00
10
10
00
00
10
00
01
10
01
00
11
11
11
10
00
10
11
00
00
01
11
10
01
10
10
11
00
00
10
11
01
01
01
00
10
01
10
10
00
00
01
00
10
10
10
11
00
01
01
00
01
00
10
10
00
11
10
00
01
01
11
11
00
10
10
00
10
01
00
10
10
00
00
10
01
01
00
11
01
10
10
10
10
11
00
01
00
00
10
10
01
00
10
10
01
00
01
11
01
00
10
00
10
10
00
10
10
01
10
10
10
00
10
00
00
00
10
11
00
00
00
10
11
11
11
00
10
01
11
00
00
10
10
00
00
00
10
00
10
11
10
10
10
01
00
01
11
01
10
10
00
10
00
01
11
10
11
00
10
11
01
00
00
10
11
00
00
01
00
11
00
00
01
01
10
10
10
10
00
00
11
10
00
10
00
11
11
00
00
10
10
00
10
00
10
10
01
00
11
00
10
00
00
10
00
01
11
10
11
00
10
00
11
10
00
10
10
10
01
10
10
00
00
10
00
10
00
00
00
10
11
11
01
00
00
10
10
01
10
01
00
10
00
00
10
00
10
10
11
00
11
00
00
10
11
00
00
00
00
10
10
00
01
00
00
10
00
01
10
00
11
00
10
10
11
00
00
00
11
10
10
10
11
11
00
00
01
11
00
01
11
00
00
10
00
10
01
01
10
10
00
11
10
10
10
10
11
00
10
11
10
01
00
11
01
00
10
00
00
10
10
11
10
00
11
00
01
11
10
11
10
10
00
01
10
10
01
01
11
00
11
10
10
10
01
10
11
00
00
00
11
11
01
11
00
01
00
10
01
00
11
10
01
00
10
10
10
10
01
00
00
00
10
11
11
10
10
01
00
11
01
00
11
01
10
01
11
00
00
01
10
10
00
10
11
01
01
11
00
00
10
00
00
10
10
01
00
10
00
00
10
10
01
10
10
11
01
01
10
00
00
10
10
10
10
00
00
10
00
11
10
10
10
01
10
00
11
00
01
01
11
11
00
11
00
11
10
11
00
11
01
00
10
11
10
00
01
11
00
10
11
00
11
00
00
11
11
10
11
00
10
10
00
01
00
01
10
01
10
00
10
10
10
10
10
01
00
01
00
00
10
11
00
10
10
00
00
01
01
11
11
00
01
00
00
10
01
00
11
11
00
10
10
10
00
11
10
10
00
10
10
10
01
01
10
10
10
00
11
10
01
10
10
00
10
01
01
01
11
11
10
00
11
10
10
01
01
10
10
11
10
00
10
10
10
00
01
00
10
01
10
00
00
11
00
00
10
10
01
01
10
10
11
00
10
10
00
11
10
01
11
10
01
11
10
00
00
10
10
10
00
00
11
00
10
11
00
10
00
10
11
00
00
10
01
10
11
10
00
00
01
10
11
01
01
00
00
10
10
00
01
11
10
00
00
11
10
01
10
00
01
00
10
10
11
01
00
11
10
01
10
10
00
00
10
11
01
00
00
10
10
00
01
11
10
11
00
10
01
00
01
11
01
00
11
00
00
10
00
00
10
11
00
01
11
10
00
00
00
11
00
00
10
10
00
01
01
01
00
11
10
00
00
11
00
10
11
01
11
10
10
00
01
10
10
11
10
01
11
10
00
11
11
01
01
00
00
10
11
00
11
10
10
00
01
10
10
10
00
10
10
10
01
10
00
00
10
00
00
00
10
10
00
10
10
00
00
10
00
11
00
00
11
10
00
01
10
10
10
00
10
01
10
01
01
11
11
01
01
01
11
10
11
00
00
10
10
00
00
00
11
00
01
10
00
10
11
00
00
00
10
11
00
00
11
01
01
11
10
11
00
01
00
00
11
10
01
00
00
10
10
01
00
00
11
10
00
11
00
11
10
10
11
01
10
01
01
10
00
00
11
10
10
00
10
00
10
10
00
11
10
00
11
01
10
00
01
10
00
10
10
11
01
11
01
01
10
10
00
10
00
01
10
10
00
00
10
11
11
00
10
00
00
00
10
10
00
11
00
00
11
10
01
10
10
01
00
01
01
10
10
00
10
10
10
00
01
10
11
01
11
00
00
01
10
10
00
00
11
11
11
10
01
01
10
00
00
01
11
10
10
00
00
10
10
10
00
10
10
11
01
10
00
01
10
00
01
01
10
11
10
01
00
00
00
10
11
01
00
11
11
11
11
01
10
10
00
01
10
10
00
01
10
10
11
10
00
01
00
01
01
11
10
01
00
00
00
10
10
10
00
10
00
11
00
11
00
00
00
01
11
11
10
01
00
10
00
11
10
01
01
10
10
00
00
11
00
00
00
01
10
01
01
00
01
10
10
10
00
00
01
01
10
11
00
10
00
00
00
00
10
10
10
00
00
01
00
01
00
11
10
01
10
10
10
01
10
00
00
10
00
11
11
11
11
00
00
10
00
10
10
00
11
10
10
01
10
11
00
00
10
11
00
00
10
10
11
00
00
10
00
01
10
10
00
00
10
00
00
10
10
00
10
01
00
00
00
00
00
10
11
01
10
00
00
11
10
00
00
11
10
01
00
10
10
01
11
11
11
00
11
01
01
00
01
00
01
11
10
00
00
10
11
10
10
00
10
10
10
00
00
00
10
01
00
11
11
10
10
00
01
00
10
01
00
10
10
10
10
10
10
11
01
10
00
11
10
10
11
00
11
01
01
10
10
10
01
01
11
10
10
11
00
01
10
10
00
00
10
10
10
00
10
00
00
10
00
00
00
01
10
00
11
10
00
00
10
01
11
11
00
11
00
00
10
01
11
00
01
10
11
11
00
00
00
00
10
10
00
10
00
01
00
10
10
10
00
00
10
01
11
00
01
11
01
00
01
00
11
11
01
10
10
10
01
00
10
00
01
00
10
10
01
10
01
00
10
00
00
00
10
11
00
11
11
11
01
00
00
10
00
00
10
10
01
00
01
00
10
11
01
10
10
00
00
10
10
11
11
00
01
00
10
11
11
00
10
00
10
11
11
00
01
11
10
11
10
01
00
10
10
01
01
11
11
01
10
01
10
10
00
00
00
01
01
11
00
01
00
10
01
00
00
10
01
00
00
00
10
10
10
10
00
10
01
00
10
01
01
10
00
10
11
00
00
10
11
00
10
10
00
00
01
00
10
00
01
00
00
00
10
10
00
00
10
10
01
00
10
10
01
00
11
10
10
11
10
01
00
10
00
00
10
00
00
11
00
00
00
11
11
00
11
10
01
00
00
11
10
00
00
10
10
10
00
00
00
00
10
10
00
10
10
10
10
00
01
10
01
00
01
10
10
10
00
10
10
01
00
00
01
10
11
01
00
00
11
00
00
11
10
00
11
00
10
00
00
01
00
11
10
10
01
10
00
10
10
01
10
00
01
01
10
10
00
00
10
10
00
10
10
00
10
10
11
10
00
01
10
00
00
10
10
11
10
10
00
10
11
00
10
10
01
00
00
10
10
10
00
10
01
00
10
01
00
01
11
10
11
10
10
10
10
10
01
01
01
11
11
00
10
01
00
10
10
00
00
00
01
00
10
11
10
01
10
00
00
00
00
10
11
00
10
11
01
10
10
01
01
10
00
10
11
10
01
01
10
10
10
11
10
10
01
00
10
11
00
00
00
01
00
10
00
01
10
11
10
01
01
10
10
11
11
10
10
00
00
00
10
01
01
10
00
10
10
10
01
11
11
10
01
00
01
11
10
11
00
10
10
00
01
10
10
00
10
01
10
10
10
10
10
01
10
00
00
00
11
01
00
11
00
10
10
00
00
11
10
01
00
10
00
00
01
10
00
11
10
00
10
10
00
00
01
01
00
10
10
00
10
01
00
01
00
00
00
00
10
00
01
10
00
10
11
11
01
10
10
10
10
10
01
10
01
00
11
10
01
11
10
10
01
01
01
00
10
00
01
00
10
10
00
01
01
10
10
11
10
10
11
00
11
00
00
00
00
10
00
01
11
10
00
11
01
01
10
00
10
00
11
10
01
10
10
00
10
10
00
00
11
10
01
00
10
10
10
11
10
11
00
00
00
10
11
10
10
01
01
10
01
00
00
10
10
01
00
00
00
00
10
01
00
11
01
00
11
10
01
10
10
00
00
00
10
00
00
00
10
01
00
00
00
11
01
10
10
10
10
01
11
01
10
11
11
01
10
00
10
11
00
01
11
00
01
10
10
00
00
00
10
01
11
00
00
11
01
10
00
00
01
11
10
10
10
00
10
10
00
00
00
10
11
00
11
10
10
10
11
10
00
10
00
01
11
11
11
00
00
10
10
00
00
11
10
01
01
01
11
11
10
00
10
11
10
01
01
10
00
01
00
10
10
00
10
11
10
10
10
10
01
00
00
10
00
00
01
00
01
10
10
10
10
00
01
00
10
00
11
00
10
10
10
10
11
10
00
00
01
11
10
10
00
10
00
10
10
11
00
10
11
10
01
01
00
00
00
00
00
01
10
11
10
01
10
10
11
00
11
10
10
01
10
11
10
00
00
01
10
10
11
00
10
10
00
10
10
00
01
01
11
10
10
01
01
10
10
00
00
10
00
00
10
00
10
00
10
10
00
10
01
10
00
00
10
10
10
01
10
00
10
10
01
10
10
11
00
00
11
10
00
10
10
01
00
01
11
00
10
10
00
10
01
00
10
11
00
00
10
01
00
00
10
10
00
10
11
00
10
00
10
01
10
10
10
11
11
01
01
00
01
10
10
10
10
01
01
01
10
10
00
00
10
11
01
00
01
10
10
10
10
10
01
11
10
11
01
11
00
00
00
10
10
00
10
00
00
11
11
10
11
00
00
10
11
01
00
00
00
10
10
00
10
01
11
10
00
00
11
10
00
00
00
10
10
10
00
10
10
10
01
10
10
10
10
01
10
11
01
00
11
00
10
11
01
01
00
10
10
10
00
00
11
10
00
00
00
10
00
00
00
00
00
00
00
10
00
01
10
01
01
00
10
11
00
10
00
01
11
11
01
00
01
10
00
00
00
00
10
11
00
00
00
00
00
10
10
11
11
01
11
10
11
01
01
10
01
01
10
11
10
00
00
10
10
00
00
10
00
10
11
00
00
01
10
10
11
00
11
11
10
00
11
10
01
11
00
01
10
01
10
11
10
10
00
00
01
11
10
00
00
11
01
10
00
10
10
01
10
00
10
00
00
10
00
10
10
10
01
10
11
00
10
00
11
10
01
10
11
00
10
00
00
10
11
01
01
10
11
00
11
00
01
00
11
10
11
10
11
01
00
10
10
10
00
10
10
01
01
11
00
01
10
00
00
10
01
00
10
11
10
00
10
01
00
10
10
01
10
10
10
00
01
11
10
01
11
00
11
00
11
10
00
01
00
11
01
00
01
11
10
00
11
11
11
11
01
11
00
00
11
00
01
10
10
00
11
10
10
10
00
11
10
01
01
00
11
00
00
11
00
00
10
10
10
11
00
01
10
00
11
11
10
11
00
00
10
10
00
00
00
00
10
01
00
11
10
01
10
01
01
10
11
00
10
10
10
01
01
11
00
01
10
10
10
00
00
00
10
10
11
01
10
01
01
00
11
00
10
00
10
10
00
00
10
00
00
00
10
10
00
01
00
01
01
11
11
10
10
11
10
01
00
10
00
11
01
10
11
00
00
10
00
00
10
01
01
00
10
01
10
10
00
11
00
10
10
00
11
00
10
10
11
00
00
11
10
10
00
00
00
00
10
11
01
00
10
10
10
00
01
10
11
10
10
00
11
00
01
00
10
01
10
00
00
10
00
00
10
10
10
01
10
10
01
10
11
00
10
10
10
10
10
01
01
10
10
11
00
00
10
11
00
00
11
00
00
01
10
01
00
11
00
11
11
00
10
10
01
10
01
10
10
01
11
01
11
10
00
00
00
11
10
00
10
00
11
00
11
11
01
00
01
10
10
00
01
11
11
11
10
10
01
10
11
10
00
00
00
00
00
10
10
00
00
10
10
01
11
00
01
10
10
10
10
11
10
11
00
10
01
01
00
11
00
00
01
10
00
00
10
10
10
00
01
01
11
11
00
10
00
10
00
10
00
01
11
10
01
00
10
10
01
00
10
11
01
11
00
01
00
10
10
10
10
01
11
10
11
10
01
01
11
01
00
10
10
00
00
00
10
10
11
00
00
00
00
11
01
10
01
00
11
11
00
10
11
00
00
00
11
01
00
01
10
10
10
00
01
00
10
11
01
00
01
11
00
10
10
01
00
10
10
11
10
01
00
10
01
10
00
00
00
10
00
00
10
00
01
00
00
01
10
10
10
10
10
00
01
11
10
10
10
00
00
00
10
00
00
11
10
01
00
10
00
00
01
10
00
01
00
11
11
00
00
11
00
00
10
10
00
00
10
10
11
01
10
10
00
10
00
11
11
00
10
11
00
10
00
01
11
10
00
00
00
11
01
00
10
10
00
00
00
11
11
00
00
00
10
00
01
10
10
10
10
00
10
00
01
10
10
10
10
00
00
00
01
10
10
10
00
11
11
11
10
00
00
10
11
10
00
01
10
01
01
00
00
10
00
00
00
11
10
00
11
00
01
11
10
01
10
00
00
00
10
10
10
00
00
10
10
00
11
01
00
11
10
00
10
10
01
10
01
01
10
10
10
01
10
10
10
11
01
01
01
01
00
10
00
00
10
11
01
00
10
11
10
00
00
10
10
00
00
10
00
00
00
00
00
01
00
10
00
10
11
10
11
01
00
10
10
00
00
01
10
00
11
00
11
10
00
01
01
00
01
11
11
01
00
10
01
10
00
00
11
10
01
10
10
00
01
10
00
10
10
01
01
00
00
01
10
11
00
10
10
00
10
10
10
00
10
01
01
01
10
10
10
00
00
10
10
00
00
10
10
01
10
01
10
10
00
01
01
10
01
00
01
00
10
10
11
11
01
11
11
11
10
01
01
00
10
00
00
00
10
10
11
01
00
00
10
11
00
00
01
00
10
11
00
10
00
01
10
10
01
00
00
00
00
10
00
10
10
00
10
00
11
11
00
00
10
10
10
10
00
00
00
10
00
00
11
11
11
11
11
00
10
01
00
00
11
10
01
10
10
10
11
01
10
11
00
11
10
11
10
00
11
00
01
10
00
00
11
11
00
10
00
01
00
10
10
01
10
10
11
10
01
10
00
00
01
00
10
01
01
11
11
10
01
10
10
00
01
10
00
00
11
00
00
10
10
00
01
01
10
00
01
11
01
10
11
10
00
00
10
01
01
10
00
00
00
00
10
00
11
00
01
10
11
10
10
00
00
11
11
10
00
11
10
00
01
00
00
10
11
00
00
01
11
10
01
00
11
00
11
00
00
00
10
00
10
00
10
11
00
01
00
01
00
00
00
10
11
00
01
01
10
11
00
01
11
11
00
00
01
10
01
00
11
10
00
00
10
00
00
10
10
10
00
00
10
00
00
11
10
10
00
10
01
11
10
00
00
11
11
10
11
00
00
11
01
10
00
01
11
10
10
00
11
00
01
00
00
11
10
10
10
01
00
10
10
01
01
00
00
00
00
10
10
10
00
11
10
10
00
11
00
11
10
01
00
11
00
00
01
10
10
00
00
11
10
01
10
10
00
01
11
11
11
00
00
01
00
00
11
10
00
01
00
00
00
00
11
00
10
10
10
01
11
10
01
11
11
00
01
00
00
10
01
00
00
00
10
00
11
00
01
11
01
00
10
11
10
00
11
00
01
10
10
11
00
10
11
11
01
00
10
10
10
11
01
10
01
10
01
11
00
10
10
00
10
00
10
01
00
00
10
10
10
11
00
00
10
11
11
00
10
00
10
00
01
00
01
10
11
10
10
00
01
10
10
00
00
00
00
00
11
11
10
10
00
10
11
00
00
00
00
10
10
00
11
11
00
01
10
10
10
01
10
00
00
10
10
00
00
10
10
00
10
10
00
10
00
11
10
00
10
10
01
01
11
11
11
01
01
10
00
00
01
00
10
11
00
00
11
00
11
01
00
10
00
01
00
01
00
00
10
10
10
10
11
00
01
10
11
11
01
01
01
00
00
10
10
00
00
10
10
00
01
10
00
00
00
00
10
10
00
11
11
01
10
10
10
00
11
10
00
10
11
00
00
10
10
00
11
11
00
10
11
10
10
00
00
01
00
11
01
00
10
10
10
00
01
10
00
10
00
01
10
11
10
01
00
00
10
10
00
10
11
11
10
11
01
11
11
11
01
00
01
00
10
11
01
11
10
00
01
01
10
10
00
11
00
10
10
00
10
01
00
10
10
00
01
01
11
00
10
01
11
01
00
11
10
01
01
10
11
00
01
11
11
00
00
11
00
00
10
00
01
00
10
00
11
10
11
10
11
01
10
00
11
00
00
10
00
00
00
10
10
11
11
00
00
00
01
10
00
00
00
00
00
10
01
00
11
11
11
10
10
01
10
11
10
01
00
00
00
11
00
00
01
10
00
10
01
00
00
10
10
10
00
10
10
01
00
00
01
10
00
01
01
10
10
10
00
10
10
01
00
11
10
10
10
10
00
11
10
00
01
11
10
10
00
10
11
11
00
01
11
00
01
11
00
01
10
10
11
11
11
00
10
10
00
10
00
00
11
00
00
00
11
10
11
00
00
00
01
01
01
10
10
00
01
00
11
00
01
00
10
00
00
10
11
11
00
01
01
10
10
00
11
01
11
11
10
11
00
00
00
00
10
10
11
01
10
11
11
00
00
10
10
00
10
11
01
00
00
00
10
10
00
11
00
00
10
10
00
00
01
11
00
01
10
01
00
00
10
10
01
01
10
00
00
10
01
00
01
01
10
10
10
10
00
00
00
00
10
01
10
10
01
10
10
10
10
01
10
10
00
00
00
10
11
00
10
11
01
10
10
00
10
01
00
11
10
10
00
10
00
00
00
10
10
01
10
00
10
00
10
11
11
01
00
00
11
00
00
11
10
01
00
01
01
10
10
10
01
00
11
10
01
10
11
11
10
11
10
00
00
00
11
11
00
00
01
11
10
10
00
01
00
00
10
01
10
00
11
00
00
10
10
10
10
10
10
00
00
10
00
00
00
00
00
10
10
01
10
00
00
10
01
00
00
10
01
00
01
01
10
00
00
10
00
00
00
11
11
01
11
00
10
01
10
11
11
00
11
11
00
01
10
11
00
10
11
00
01
10
11
00
10
10
01
10
10
00
01
00
10
10
01
11
11
00
10
11
10
00
00
10
10
00
00
00
10
01
10
10
10
11
10
10
01
10
11
00
01
10
01
10
00
00
01
01
11
00
01
00
00
00
10
10
00
10
11
10
10
01
00
01
00
00
10
10
10
00
01
10
11
01
10
00
00
10
10
00
00
01
00
10
10
11
10
11
00
01
10
10
00
01
00
10
00
10
01
00
11
11
10
00
10
00
00
11
10
00
11
01
00
10
10
11
00
10
10
00
10
00
01
11
10
01
10
00
00
11
10
00
01
10
01
10
11
11
10
01
00
00
10
00
10
00
10
10
01
00
00
01
00
11
00
00
10
10
10
11
01
00
01
00
10
10
00
10
11
01
01
00
10
00
00
00
00
11
10
00
00
00
11
10
11
00
00
00
10
11
00
10
10
00
10
10
00
10
10
01
11
10
10
00
00
11
00
11
10
10
00
00
10
11
00
11
00
01
01
10
01
01
11
10
11
00
10
11
00
01
11
11
00
10
10
00
10
10
01
00
10
00
11
10
01
10
01
00
00
10
11
11
01
01
00
00
10
10
00
00
10
11
10
00
10
00
10
10
10
10
01
00
10
00
10
10
00
10
00
00
00
10
11
00
01
11
00
00
10
00
10
10
00
01
11
10
10
00
00
01
10
10
00
10
01
01
10
11
00
00
10
00
00
00
11
10
10
11
01
01
00
00
11
11
10
00
10
10
10
00
11
00
00
10
10
10
00
10
00
00
00
10
00
00
11
00
00
10
10
10
00
10
00
00
11
01
11
00
11
10
10
10
00
10
10
00
01
10
00
01
00
00
10
00
11
11
11
11
11
10
00
00
01
10
11
00
00
10
10
11
10
00
00
00
11
00
11
01
10
01
00
01
11
01
00
00
10
00
11
10
10
10
11
01
00
00
00
10
11
10
10
11
01
11
10
10
10
11
10
00
01
00
00
00
00
10
11
10
10
01
00
10
11
00
00
11
10
01
10
10
00
00
10
10
11
01
01
01
10
11
10
11
01
00
10
10
10
00
00
10
00
00
11
11
00
01
10
10
10
01
10
10
11
10
01
00
10
10
10
01
00
00
10
10
10
01
00
00
01
00
11
10
10
00
11
00
01
10
10
00
00
00
10
10
01
00
01
10
10
10
00
10
10
11
00
11
10
10
10
00
10
00
10
10
01
11
10
01
00
10
11
01
10
01
01
10
01
10
10
00
10
10
11
01
00
10
10
11
11
11
00
10
10
11
00
00
10
01
00
00
00
10
01
10
11
00
11
01
10
10
11
11
00
01
10
10
00
00
10
00
11
00
00
11
00
00
00
00
00
00
11
00
10
11
11
11
10
00
10
10
00
11
00
01
01
10
10
00
11
10
01
00
11
10
11
11
10
00
10
00
01
00
10
00
00
10
10
10
00
00
00
10
01
10
10
10
11
11
00
00
00
00
00
00
10
11
00
01
00
10
00
00
10
10
10
01
10
11
00
10
11
10
11
10
00
00
10
11
10
11
00
01
00
00
01
10
10
01
01
10
00
11
00
11
10
11
10
00
00
01
00
01
10
11
10
10
00
10
00
00
01
10
00
01
01
11
01
10
00
00
01
10
00
10
00
10
11
10
00
10
01
00
00
00
11
11
10
01
10
00
00
11
01
00
01
10
01
00
00
10
11
11
01
10
11
10
00
11
00
00
10
00
00
01
10
10
10
00
10
00
11
11
00
10
10
11
00
00
10
00
00
00
00
10
01
00
01
11
10
01
10
10
11
01
01
00
10
10
01
01
10
10
10
00
00
00
10
00
00
11
11
01
10
00
00
01
10
10
01
00
11
00
01
10
01
00
10
10
01
01
10
11
00
00
10
00
10
10
01
01
11
00
01
00
00
10
11
11
00
11
10
00
11
11
00
01
10
10
10
00
10
00
10
10
01
10
00
00
01
10
01
01
00
11
00
10
00
10
11
00
00
10
00
10
10
10
00
00
10
11
00
00
10
10
01
10
11
10
10
00
10
00
00
11
10
00
01
10
00
00
00
10
01
10
11
00
00
10
11
10
01
00
10
00
11
10
11
01
00
10
10
10
00
00
10
10
10
01
01
11
01
10
00
00
00
10
10
00
00
10
10
00
10
11
11
00
10
10
10
00
01
10
00
00
10
10
10
10
00
11
11
01
11
00
10
10
10
10
01
01
11
00
11
00
10
10
00
00
00
01
10
10
10
00
01
00
01
10
00
00
10
11
10
01
11
00
01
01
11
11
10
00
10
10
00
11
11
01
10
11
10
00
10
11
00
01
10
00
11
11
11
10
10
00
00
10
00
10
10
10
11
00
00
00
10
00
01
00
01
00
10
00
00
10
00
10
10
10
11
00
00
01
11
11
11
10
00
01
10
00
00
10
11
10
01
10
11
00
10
10
10
01
01
10
11
11
01
00
10
11
00
10
11
01
10
11
10
00
01
10
00
01
10
11
00
10
01
10
10
01
01
11
10
01
10
01
00
11
10
01
10
11
00
01
00
11
01
00
10
10
10
00
00
10
10
01
00
10
11
10
00
10
01
01
11
10
00
01
10
01
11
01
00
00
10
11
00
01
00
10
11
00
11
00
01
10
11
11
00
10
00
00
10
10
00
10
10
11
00
01
10
00
10
10
11
00
01
01
10
00
10
00
00
10
11
10
00
00
10
00
00
00
10
00
00
11
10
01
01
00
10
10
01
00
10
11
10
10
00
00
11
00
00
11
10
00
00
01
00
00
00
11
11
01
11
11
11
00
10
00
01
10
10
11
11
00
11
00
00
10
11
00
00
10
00
00
00
00
10
11
10
00
10
10
01
11
01
00
10
10
10
10
00
00
01
11
00
11
10
11
00
10
10
00
00
11
10
00
10
10
10
11
10
01
11
11
10
10
01
00
10
10
10
00
00
00
11
10
10
10
00
10
10
10
10
01
01
00
01
11
11
01
00
10
10
00
10
10
01
00
00
00
00
01
00
00
00
01
10
10
10
10
11
00
10
01
10
10
01
00
00
11
10
11
10
01
10
00
10
10
01
01
00
00
10
11
10
11
10
01
10
10
00
01
00
10
00
00
10
10
00
11
10
00
01
10
10
01
00
10
01
01
10
00
10
00
00
11
11
00
10
01
10
10
01
01
01
00
00
01
10
10
00
11
10
00
11
10
10
00
10
00
00
10
10
11
11
00
10
00
00
10
00
11
10
01
10
11
01
00
00
10
11
01
01
01
10
01
01
00
00
10
11
00
00
01
10
01
00
10
00
11
00
10
10
01
00
10
10
10
00
10
11
00
11
00
00
10
10
10
10
10
00
11
01
00
01
00
10
00
01
11
10
11
00
00
00
00
01
11
10
01
00
01
00
10
11
00
10
00
00
11
10
01
11
10
10
01
01
11
00
10
00
01
11
10
10
10
10
10
10
01
00
00
10
00
10
10
01
00
00
10
10
00
00
10
00
01
10
11
10
00
00
10
01
10
00
00
10
10
00
11
10
11
01
00
00
00
00
10
11
00
01
10
10
00
01
10
01
00
11
01
10
10
11
11
00
00
10
00
00
01
00
01
01
01
01
01
00
11
10
10
10
00
01
01
00
10
01
11
10
01
10
10
00
00
10
00
10
11
00
01
00
11
10
11
10
00
10
10
11
01
00
11
10
00
00
10
00
11
10
00
00
10
10
10
01
11
10
11
11
00
10
01
01
11
00
01
10
11
00
10
00
00
00
00
10
11
00
10
00
00
11
01
10
10
10
00
00
11
00
00
01
11
10
00
10
10
00
00
11
00
10
10
10
00
00
00
11
11
01
11
11
10
10
00
00
10
10
00
01
00
10
00
01
00
00
10
01
01
10
01
01
01
10
10
00
10
10
00
11
11
10
11
10
10
00
10
00
00
01
10
10
10
10
10
00
00
10
00
00
00
00
01
10
00
00
00
01
10
00
00
10
01
01
11
10
00
10
00
01
11
00
00
00
00
11
10
01
10
10
01
00
10
11
11
00
00
00
11
10
00
00
10
00
10
10
01
00
00
10
11
01
00
00
00
01
00
11
10
01
10
10
01
10
00
00
00
10
01
10
10
01
11
00
10
11
00
10
10
10
10
10
01
10
11
00
10
01
01
00
11
01
01
11
01
11
00
00
11
01
11
10
00
00
11
10
00
01
10
00
10
01
10
01
11
10
00
10
11
00
00
10
00
01
11
10
01
11
01
11
01
01
00
10
10
01
00
10
10
00
00
10
00
00
00
11
10
01
10
00
10
10
00
10
01
00
10
00
11
10
10
00
10
01
01
01
11
01
10
11
11
10
01
01
10
10
10
00
00
11
10
00
10
00
00
11
01
11
11
01
10
10
10
00
10
00
01
00
10
00
00
11
00
11
11
11
00
11
00
10
10
11
00
01
10
11
11
00
10
00
11
10
00
01
11
10
00
01
11
10
10
10
11
11
00
00
00
10
10
10
10
00
10
01
00
00
11
11
01
00
11
00
00
00
00
11
10
11
01
10
01
11
11
01
01
10
11
11
00
00
10
10
00
00
10
10
11
10
00
00
10
10
01
10
10
00
10
11
00
10
11
11
01
01
10
10
00
00
10
10
01
00
11
11
00
01
11
11
00
10
10
10
00
00
10
00
11
10
00
01
00
01
01
11
10
10
10
00
10
00
00
10
10
10
00
10
01
00
10
01
10
00
11
10
00
10
11
11
10
01
01
00
10
00
10
11
10
00
00
11
00
10
00
01
01
10
10
00
01
10
11
10
10
10
11
10
00
00
01
11
00
10
10
00
00
10
00
10
10
00
10
10
01
01
11
00
00
00
10
11
00
10
01
10
11
10
10
11
01
01
11
10
01
00
00
11
11
00
10
01
01
00
11
10
00
10
10
11
00
11
10
00
01
01
11
00
10
10
00
11
10
10
00
00
00
11
00
01
01
10
10
01
11
10
10
01
00
10
10
00
10
11
00
10
10
01
01
10
11
11
10
01
11
00
10
10
01
10
00
10
01
00
10
11
01
10
00
10
11
00
10
00
00
01
10
10
01
10
00
00
01
10
00
11
00
00
11
00
00
00
10
11
10
11
10
10
00
10
11
10
11
01
10
10
01
00
10
00
00
00
00
10
10
10
01
10
11
10
11
00
10
00
00
10
11
10
01
10
00
11
01
01
11
00
10
11
00
00
01
11
00
11
00
01
00
00
10
10
00
10
10
00
00
11
10
00
00
01
10
00
00
11
00
01
10
11
01
10
00
11
11
00
10
11
10
10
00
01
00
10
11
11
00
10
00
00
10
00
00
10
00
10
00
01
11
10
10
00
10
00
10
10
11
10
10
01
11
00
10
00
01
10
10
11
00
00
01
00
11
00
00
00
00
10
10
10
10
00
10
00
10
10
11
00
00
00
10
11
00
10
10
00
00
00
11
00
01
10
11
00
10
10
01
00
10
00
01
01
10
10
10
00
11
00
01
00
01
00
00
01
00
11
00
11
11
00
00
10
10
00
10
10
10
01
00
00
00
10
00
01
10
01
11
10
10
10
00
00
10
11
11
00
10
11
01
11
00
01
10
00
10
01
01
10
10
01
10
01
00
10
00
10
00
00
10
00
01
00
10
10
10
11
11
00
01
00
00
11
10
00
10
01
01
10
10
01
10
10
00
01
01
00
10
10
01
10
10
00
01
00
10
01
11
01
01
10
10
10
00
01
10
00
10
01
11
01
10
10
10
11
00
10
11
00
00
00
01
10
00
10
00
01
10
00
00
00
01
11
10
10
10
11
10
10
00
00
01
01
01
11
11
10
00
00
00
10
11
10
00
01
00
00
10
00
10
00
00
10
11
00
11
00
10
00
00
10
11
00
00
11
00
11
10
10
00
01
00
01
01
10
11
10
01
11
00
01
10
00
01
00
11
10
00
00
10
01
01
10
00
10
10
11
00
11
00
10
10
11
00
00
10
10
00
10
11
10
00
10
00
11
10
10
00
00
10
11
10
00
00
11
11
00
00
01
00
10
10
00
00
10
10
10
00
01
11
00
00
00
00
11
00
00
11
00
01
10
00
00
00
01
11
10
10
11
00
11
00
10
10
01
00
10
10
00
10
01
10
11
11
01
01
10
10
00
10
01
00
10
11
11
11
10
10
10
10
11
01
00
10
11
11
10
00
01
00
11
10
10
01
00
11
10
00
01
11
11
10
00
00
11
11
10
00
01
10
10
10
10
00
11
11
00
10
00
10
10
10
00
00
00
00
11
11
10
10
00
00
00
10
00
00
01
10
11
10
10
10
00
10
11
00
01
10
10
11
01
00
00
10
10
10
01
10
00
00
10
01
10
10
00
00
10
10
01
01
11
00
11
11
10
00
00
00
10
10
11
10
10
01
01
00
01
01
10
01
00
11
01
01
10
11
10
00
01
01
11
00
10
11
00
01
00
01
10
00
10
01
01
01
00
00
11
10
10
01
00
10
00
00
01
10
10
00
10
10
11
00
10
01
01
10
11
10
00
10
10
00
00
10
10
01
11
10
10
00
01
00
11
10
00
00
00
11
10
10
00
10
10
10
11
10
11
00
01
11
10
11
11
10
00
00
00
00
10
11
11
00
10
10
00
10
10
00
11
10
11
11
10
00
11
10
10
10
00
10
11
00
01
00
00
11
10
00
01
01
11
10
00
10
11
01
00
00
00
00
00
01
10
01
11
10
01
00
10
00
00
11
11
11
00
10
11
01
01
10
10
01
11
11
00
00
11
00
11
01
00
01
01
11
10
00
10
00
10
10
00
00
10
11
10
01
11
10
11
10
00
10
00
10
11
00
00
10
00
00
00
00
10
10
00
00
10
01
01
10
10
10
00
01
10
10
00
01
11
10
10
11
01
11
10
00
00
00
00
01
10
10
00
10
01
00
00
10
10
00
00
00
10
10
00
00
11
10
00
10
00
11
00
10
10
10
01
10
00
00
01
10
11
01
11
10
00
01
01
10
10
00
00
01
10
00
11
10
00
00
11
00
00
10
01
00
01
10
01
10
10
10
10
01
00
11
10
01
00
01
10
11
10
01
10
10
10
00
00
10
00
00
10
10
01
01
10
10
01
10
10
10
00
01
10
10
00
10
01
00
00
00
10
00
10
10
10
11
00
01
10
10
01
10
00
11
10
00
10
00
01
00
10
10
10
00
01
01
00
10
10
00
00
00
10
11
00
01
10
10
00
00
11
00
10
10
10
00
10
01
00
10
11
00
10
00
00
10
11
01
00
01
01
00
01
10
11
10
00
00
11
00
01
00
10
01
00
11
10
10
00
01
11
01
10
11
10
10
00
00
01
10
11
00
00
00
00
00
01
10
11
11
01
00
01
10
11
11
10
10
01
10
00
00
10
11
00
00
01
11
00
11
10
00
11
10
10
00
00
11
00
00
00
00
11
10
00
10
10
00
00
00
11
10
00
11
00
11
10
10
10
00
00
10
11
00
11
00
01
10
01
00
10
00
00
11
10
10
01
00
10
00
00
11
10
11
10
00
01
00
11
01
00
01
10
10
01
01
11
10
01
01
00
10
00
10
11
01
10
00
10
10
11
01
10
10
10
00
00
00
00
01
00
10
00
10
11
00
10
10
01
11
11
00
01
11
10
11
11
00
00
11
10
00
10
10
00
10
00
00
10
10
01
10
01
00
00
01
10
00
01
10
10
00
11
10
11
11
00
11
01
10
00
10
01
01
11
10
10
11
10
00
00
10
10
00
10
11
00
10
11
11
01
01
00
10
00
01
00
11
10
00
01
10
10
00
10
10
01
10
11
01
11
00
00
10
00
00
10
10
01
01
11
10
11
11
00
10
01
00
00
10
10
10
10
00
10
00
11
00
00
11
11
00
01
10
10
01
00
10
10
00
00
11
11
11
11
10
01
01
00
11
10
00
00
10
11
11
10
01
00
00
01
10
10
10
11
00
01
10
10
10
01
01
00
01
11
10
11
10
00
00
01
10
00
01
10
10
10
11
00
00
10
11
00
11
01
00
10
10
00
01
01
10
10
10
01
00
01
00
10
10
01
00
10
10
01
11
00
00
10
10
10
01
10
00
01
00
11
10
00
00
11
10
10
11
00
00
10
10
10
00
00
10
10
10
01
01
10
10
00
10
10
00
01
10
01
00
00
10
11
10
00
00
10
10
10
00
10
00
01
10
10
10
10
10
00
10
10
01
01
01
10
00
10
10
00
00
10
11
00
10
11
00
00
00
10
10
01
00
11
00
00
00
10
00
00
10
10
00
00
01
11
00
01
00
11
01
00
11
10
10
01
01
10
01
00
00
00
01
01
00
10
11
10
01
00
00
10
00
10
00
10
10
10
11
00
11
00
10
00
11
10
00
01
11
01
10
01
00
01
00
00
10
10
11
00
00
10
11
11
00
10
11
01
00
01
10
00
10
11
01
00
00
10
00
00
11
00
11
11
01
10
11
10
00
01
10
00
01
00
10
10
10
00
10
10
10
01
00
10
00
01
11
00
11
10
10
00
01
00
10
00
01
00
00
00
00
10
00
10
10
00
10
10
10
10
10
01
00
10
00
00
00
01
00
00
10
11
01
10
01
11
11
00
00
11
10
10
01
01
11
10
10
00
00
01
00
10
10
00
11
10
01
10
11
00
01
11
10
00
00
01
11
10
00
11
00
00
01
10
10
10
01
01
00
00
10
00
11
00
00
01
00
11
10
00
00
01
10
00
10
10
01
10
10
10
10
00
00
11
00
01
10
00
00
10
01
00
00
10
10
10
01
01
10
10
11
01
11
00
00
00
01
10
00
10
10
10
10
00
10
10
10
00
10
00
00
00
00
11
00
10
11
00
01
11
10
00
11
01
01
01
10
00
00
10
11
10
10
00
00
11
00
00
00
01
01
11
10
01
00
11
00
01
10
10
00
00
11
00
10
10
00
00
00
00
00
10
11
10
01
11
00
00
11
00
00
00
11
10
10
01
00
10
11
00
00
10
10
00
10
11
00
00
00
00
00
10
00
10
10
10
01
00
11
10
11
00
10
00
10
00
00
01
10
10
00
00
01
11
10
00
11
10
11
00
01
01
00
11
11
00
11
11
10
10
11
00
00
00
10
10
10
10
10
01
01
10
00
01
10
00
01
00
10
10
00
11
00
00
10
10
00
00
01
10
10
01
11
00
00
00
11
10
00
11
10
10
01
00
10
10
00
00
01
00
10
10
01
00
10
11
00
11
10
01
10
10
10
11
10
01
10
11
11
00
00
00
00
11
11
00
00
11
11
00
10
00
00
10
01
00
00
00
11
10
11
01
00
00
10
01
01
10
11
00
00
01
00
00
11
10
00
01
11
01
00
11
11
11
00
10
10
01
00
01
10
10
10
11
11
10
11
00
01
11
00
00
10
10
10
10
00
00
10
01
11
01
00
10
00
11
11
11
00
00
11
11
00
00
00
00
10
00
10
00
10
00
11
00
10
01
10
00
00
11
01
00
10
10
10
00
00
01
01
00
11
10
00
10
10
01
11
10
11
11
01
11
00
00
11
10
01
00
10
10
10
10
01
11
10
01
00
00
01
01
10
01
01
11
01
11
01
01
01
10
11
10
00
01
10
11
11
00
10
11
01
00
11
01
00
10
10
00
10
01
00
00
11
00
11
00
10
10
10
10
01
10
10
10
11
10
10
01
01
10
11
10
10
10
11
00
10
00
00
11
11
11
00
01
01
10
11
00
00
00
10
10
10
11
00
10
10
01
11
00
00
10
10
00
00
00
00
10
00
00
00
10
10
10
10
01
10
00
00
11
11
00
01
10
00
01
10
10
10
00
01
11
11
10
00
10
00
01
01
11
10
00
00
00
00
10
01
01
10
00
01
00
10
10
10
01
10
01
00
00
10
11
01
10
10
00
01
00
10
10
00
01
10
01
10
00
10
10
01
10
10
00
11
10
00
10
10
00
10
10
00
10
01
01
01
10
10
01
10
00
00
00
11
11
01
10
10
00
00
00
00
00
10
10
10
10
10
11
11
00
11
10
00
00
10
10
00
01
00
10
01
00
11
00
10
11
10
01
11
10
00
01
11
11
11
00
10
01
11
00
00
10
11
10
10
01
00
00
11
00
01
11
10
01
10
00
01
10
00
10
01
00
10
01
00
10
01
00
10
11
10
00
11
00
00
10
11
00
00
10
10
01
10
00
01
01
00
00
11
11
00
10
11
00
10
10
00
10
10
10
00
10
11
01
10
10
01
00
10
10
01
10
11
11
00
00
11
10
10
00
00
11
10
00
01
00
11
10
01
00
10
01
00
00
11
10
01
10
10
01
10
00
00
11
11
11
11
00
00
10
10
00
10
10
00
11
11
10
10
01
00
10
00
01
11
00
01
00
00
10
00
11
01
10
11
10
00
11
10
01
00
00
10
10
10
10
00
00
00
00
00
00
00
00
10
11
10
10
10
11
00
10
10
01
01
11
10
00
10
10
10
01
00
10
00
00
00
11
10
10
11
00
10
00
01
01
11
00
11
01
11
10
00
10
00
10
11
10
10
00
01
10
00
00
11
10
00
01
00
10
00
01
01
01
11
00
00
11
10
01
01
00
00
10
01
10
00
00
01
01
00
00
10
10
00
00
00
11
10
10
10
00
10
10
10
11
00
00
10
00
11
00
10
01
00
00
11
11
01
10
11
10
11
11
01
10
01
11
10
10
00
00
10
10
00
01
11
11
00
00
10
10
11
00
01
10
01
00
11
00
00
01
10
10
00
10
00
01
00
00
00
10
00
10
10
10
11
00
00
11
00
00
10
10
00
01
01
00
10
10
00
11
10
10
10
00
01
10
00
00
10
00
01
01
10
10
10
00
00
00
10
11
10
10
00
01
10
01
10
00
01
10
11
00
00
11
10
10
11
00
00
10
10
00
00
00
10
00
10
11
10
10
01
01
01
10
10
00
10
00
01
01
11
10
01
10
10
10
00
10
00
10
10
10
00
00
10
01
01
01
11
10
10
10
00
10
10
01
00
11
11
11
00
11
00
00
00
11
11
01
00
11
10
01
00
10
10
01
10
11
00
00
10
10
11
10
01
01
11
10
10
01
00
10
00
01
10
10
00
11
11
00
00
11
11
10
10
01
10
00
10
10
00
00
00
10
00
10
11
10
10
00
00
01
11
01
00
00
10
10
00
10
11
00
00
00
00
01
00
10
10
11
10
10
10
01
00
10
00
01
00
10
10
10
00
01
10
11
10
10
11
11
10
01
00
00
10
10
00
00
10
10
00
00
01
10
10
01
10
11
00
11
10
10
01
00
10
11
00
00
10
11
10
01
11
00
01
01
10
00
00
00
10
11
01
10
10
10
00
00
10
01
11
10
11
00
10
01
00
00
00
00
11
10
00
00
10
11
11
10
00
10
10
00
00
10
10
11
10
10
11
11
10
10
00
00
11
00
01
01
01
00
10
11
10
00
01
10
00
10
01
00
11
10
11
10
00
11
00
01
01
10
00
10
10
00
01
10
11
00
10
10
11
11
00
01
10
00
10
10
00
00
10
01
10
01
01
00
10
00
00
00
01
11
11
11
11
00
00
11
10
10
10
00
00
10
11
00
00
00
01
00
10
10
00
10
10
11
00
00
10
10
11
10
00
10
00
11
10
00
00
10
11
10
01
10
10
00
11
00
00
10
10
01
01
10
10
11
11
00
10
10
00
10
10
00
10
00
01
10
11
10
10
00
10
00
00
10
10
11
00
10
00
00
00
00
10
10
10
00
00
01
11
01
01
11
10
00
01
10
10
11
01
01
00
00
00
01
11
10
11
00
10
00
01
10
01
00
10
10
11
00
00
10
00
00
01
00
11
01
10
11
00
00
10
10
01
11
11
00
00
00
01
10
00
01
11
01
11
00
10
00
00
10
00
00
11
00
00
00
10
00
10
10
00
10
11
01
11
00
01
00
11
10
00
00
11
10
10
11
00
00
01
11
00
00
11
10
00
00
10
11
11
00
00
11
00
11
10
01
00
10
00
11
00
10
01
00
10
11
10
10
00
11
10
00
10
10
11
00
10
10
00
00
00
10
01
10
00
11
10
11
10
11
10
10
10
00
00
10
00
00
01
10
00
00
10
10
10
10
01
01
11
10
00
11
10
10
11
01
00
11
10
00
00
11
10
01
01
11
11
11
11
01
00
00
11
00
01
10
11
10
11
01
01
10
10
10
01
11
10
00
00
00
10
10
01
10
10
10
11
00
10
00
00
10
10
00
10
00
10
11
10
11
11
00
10
11
00
00
10
10
11
00
00
10
10
00
10
11
00
10
10
00
00
10
10
10
10
01
00
10
00
00
11
00
11
00
00
10
00
00
10
00
00
10
10
10
10
11
01
11
11
00
01
11
10
10
00
11
10
01
00
10
11
01
10
00
00
10
10
01
10
01
00
01
10
01
10
00
01
11
01
00
10
11
10
01
11
10
00
01
01
00
01
00
00
00
10
10
01
11
00
10
10
00
11
10
00
10
10
00
01
10
10
01
00
00
11
11
01
10
01
10
11
00
10
01
01
00
11
10
00
00
01
10
10
10
01
10
10
10
10
01
10
10
10
00
01
10
10
00
00
10
11
10
00
00
00
10
11
00
10
00
10
00
10
00
01
11
00
01
10
10
11
10
00
01
11
10
10
00
00
00
10
11
10
10
10
10
11
00
11
10
11
01
10
01
01
11
00
00
11
00
00
11
11
10
01
01
01
00
11
00
00
10
11
11
10
01
00
11
10
00
01
00
10
10
10
01
01
00
10
10
00
00
01
01
10
10
00
00
00
11
11
01
10
10
00
11
00
01
00
10
01
00
10
11
00
01
10
00
00
01
10
10
00
00
00
01
10
10
10
00
01
00
11
11
10
01
01
11
00
00
10
11
00
00
00
00
10
10
00
11
00
10
00
10
11
10
10
10
10
11
00
01
10
10
10
10
10
01
10
10
10
10
10
10
10
00
10
10
00
01
10
01
10
10
11
11
10
00
00
10
00
00
01
10
10
00
10
00
00
01
10
10
00
00
00
01
00
11
00
11
00
10
10
01
11
10
01
00
10
10
10
11
11
11
01
01
10
01
00
01
10
10
00
00
00
10
00
11
10
00
10
10
01
10
01
00
00
10
00
10
10
10
00
01
10
00
00
10
11
00
00
10
00
01
10
10
01
10
01
10
01
00
11
10
10
10
00
00
11
00
11
10
00
00
00
00
01
10
10
00
01
10
11
01
11
11
10
01
00
10
10
00
01
01
00
11
10
00
01
10
10
10
01
00
00
11
10
00
00
00
10
01
01
00
11
01
11
00
00
10
10
00
00
00
11
10
11
00
11
10
01
01
00
00
10
10
00
00
00
10
11
00
00
11
00
00
00
00
01
10
10
11
10
00
00
00
01
10
10
00
00
00
10
11
10
10
11
00
00
10
01
01
10
10
10
00
00
00
01
11
10
00
01
10
10
00
11
00
00
10
01
11
11
10
00
00
10
11
11
11
00
00
11
00
01
00
11
10
00
10
01
10
10
10
01
10
11
00
00
01
11
10
10
01
10
00
10
01
00
10
10
11
00
01
10
01
00
10
00
00
01
10
00
00
10
00
00
10
00
00
10
10
00
10
10
01
10
00
10
10
00
00
00
10
10
00
00
00
00
00
00
01
11
10
10
10
10
01
10
10
11
01
00
10
01
00
00
10
11
11
00
00
10
00
11
11
00
00
01
00
10
00
01
10
10
00
10
10
10
11
10
01
11
00
00
01
10
01
00
11
00
01
10
10
00
10
00
00
10
10
10
10
10
01
00
11
01
01
10
00
10
00
11
10
01
00
10
01
00
01
00
10
10
00
01
10
00
00
00
10
00
11
00
00
00
10
11
00
10
10
11
00
11
10
00
00
01
10
10
00
00
10
10
10
00
00
00
10
10
01
00
00
10
11
01
00
00
10
11
01
10
10
01
01
00
00
00
00
10
00
00
01
10
10
10
01
01
00
10
10
00
00
11
00
10
00
01
10
10
10
00
11
11
11
10
00
01
11
10
10
00
01
00
01
10
00
00
10
00
10
01
00
10
10
10
11
01
01
00
01
10
00
10
11
00
00
01
01
01
01
10
10
00
10
11
10
01
00
10
10
00
10
11
10
01
10
11
10
00
11
01
00
00
00
11
10
00
10
01
11
00
00
11
00
01
01
00
10
01
10
10
00
00
10
10
11
01
00
10
11
10
01
00
10
10
00
00
01
00
10
00
00
00
01
01
01
00
10
00
00
01
10
11
10
01
00
10
01
11
01
11
00
00
01
00
00
11
11
00
00
00
00
10
10
10
00
00
11
10
00
10
01
10
10
00
01
00
00
00
11
01
10
00
01
11
11
11
11
10
10
00
01
00
10
11
01
00
00
11
01
00
11
10
00
00
10
11
00
11
10
10
10
01
11
01
00
11
01
10
10
00
00
10
10
01
10
00
10
10
11
00
10
01
00
11
00
01
11
11
01
00
00
10
01
01
10
01
11
10
11
10
01
00
10
10
01
01
10
01
00
10
10
11
10
10
01
11
01
01
00
00
11
11
01
00
10
11
01
00
00
10
10
11
11
10
11
01
00
01
01
10
00
10
10
01
01
00
01
01
10
00
11
10
01
10
10
00
10
10
00
01
10
00
01
10
11
11
10
00
10
01
10
00
01
10
10
00
01
11
11
10
00
10
10
00
10
00
11
10
01
10
10
10
01
10
10
00
00
01
00
10
10
10
10
01
00
00
10
10
01
01
00
10
10
11
11
01
10
00
01
00
01
01
01
10
00
00
10
10
00
01
10
00
10
11
10
00
11
10
00
01
10
00
00
11
10
00
11
00
11
11
00
00
10
10
11
00
00
10
11
00
01
00
11
00
01
10
10
10
00
11
10
00
10
10
00
00
00
00
00
00
00
10
11
10
10
11
01
01
11
00
01
00
10
10
10
01
00
00
01
10
10
00
10
10
01
00
10
11
00
10
00
10
10
10
00
10
10
00
00
11
01
00
10
00
01
00
00
00
11
10
01
10
11
10
01
01
10
00
00
11
00
01
11
10
10
11
01
00
10
00
01
01
00
11
10
11
00
11
11
00
00
11
00
10
11
00
10
11
01
11
10
11
01
00
00
10
11
00
10
01
00
10
10
00
11
10
00
11
00
00
11
10
01
00
10
00
10
10
11
00
11
00
00
10
10
01
10
00
00
01
00
10
00
10
10
00
00
10
00
00
00
10
10
01
00
00
10
10
10
10
10
01
10
01
11
10
10
11
00
00
11
11
01
10
00
01
11
00
10
01
01
10
10
00
10
10
10
10
00
00
00
00
00
10
01
10
10
01
00
11
10
10
10
00
10
00
00
10
00
11
01
00
10
00
10
00
10
00
10
10
10
11
01
00
10
10
11
00
10
11
10
11
01
01
00
00
10
00
00
11
10
00
11
01
10
10
01
10
01
00
11
10
11
10
00
00
00
00
10
10
00
01
01
11
10
10
00
10
11
00
00
10
10
01
10
00
10
11
00
11
11
11
11
01
00
00
01
11
01
00
10
10
01
00
11
11
01
10
11
11
00
00
10
00
01
10
10
01
10
00
11
11
00
00
10
10
00
00
10
10
10
10
00
01
00
10
11
01
10
10
10
01
00
01
00
10
10
11
10
10
01
00
00
00
11
10
11
00
10
00
01
01
01
10
00
00
10
00
01
10
11
10
10
00
10
10
01
10
01
10
10
01
10
10
01
11
00
01
00
00
10
01
10
10
11
10
00
10
11
00
00
00
00
10
11
10
00
11
10
10
01
00
10
10
00
11
10
01
10
11
01
00
11
01
10
11
01
00
01
10
01
00
10
10
01
00
10
01
11
10
10
10
00
11
01
10
01
00
11
10
00
00
00
00
00
10
10
11
00
10
11
10
10
00
10
01
00
10
10
00
00
00
01
10
10
01
10
01
11
00
00
10
10
10
10
01
00
10
00
11
00
00
10
00
00
10
00
00
01
10
10
10
01
01
00
10
10
01
01
10
00
11
01
10
10
00
10
10
00
00
10
10
00
10
01
00
01
00
10
11
10
10
00
10
10
11
10
01
11
00
11
00
00
10
00
01
10
10
00
10
00
10
10
01
10
01
00
11
00
01
11
01
10
10
11
01
00
11
11
10
10
10
01
00
11
10
10
00
10
10
01
11
11
10
00
11
00
00
11
01
01
10
10
00
10
10
00
10
01
10
10
00
00
01
01
00
01
01
10
10
00
10
10
00
00
10
11
10
11
11
10
01
11
01
01
11
10
00
10
10
00
11
10
00
00
10
10
00
00
00
11
10
10
01
10
01
00
10
11
00
00
00
10
10
00
10
00
10
10
00
11
11
01
10
11
00
10
10
11
10
01
01
11
00
00
00
11
10
01
10
11
00
00
10
10
00
00
11
11
11
10
01
00
10
10
00
10
11
00
00
01
11
10
00
01
10
10
10
01
00
00
11
10
10
10
00
10
00
10
10
10
10
00
00
00
00
10
11
10
01
00
11
10
10
01
00
01
10
11
00
11
11
01
01
10
10
00
01
00
10
10
01
01
10
01
00
10
10
10
11
10
11
01
11
11
10
11
11
11
00
00
10
10
01
10
01
01
11
00
00
11
00
01
00
10
10
00
01
00
01
10
10
01
10
01
10
10
00
11
00
00
01
00
01
11
10
11
10
11
10
11
01
01
01
10
10
00
00
00
00
11
11
01
00
11
00
10
11
10
10
00
00
10
10
10
01
00
11
00
01
11
10
11
00
11
10
11
11
00
00
10
01
10
01
01
10
01
10
01
00
10
11
10
01
10
11
00
00
00
00
00
11
11
01
01
00
11
10
00
10
11
00
01
00
10
10
10
11
01
10
10
01
00
10
10
00
01
01
01
11
10
00
00
00
10
00
01
11
10
01
01
00
10
11
11
01
00
10
10
10
00
00
00
11
11
00
10
10
00
10
10
10
00
00
11
01
11
10
00
00
00
00
10
10
00
00
11
10
10
10
10
10
00
01
00
10
00
11
10
00
11
11
10
00
01
11
00
01
10
11
10
11
00
10
10
01
00
11
11
01
10
00
00
00
11
10
00
00
00
10
01
00
10
11
10
00
10
10
11
10
01
10
10
01
00
10
10
10
00
00
10
11
11
10
10
00
10
11
00
11
01
10
01
01
01
01
10
10
00
00
10
10
00
00
11
00
10
00
11
10
10
00
10
10
00
00
01
10
10
10
11
01
10
00
10
00
00
10
01
00
10
10
00
01
10
00
00
11
11
10
10
00
01
01
11
11
00
11
00
11
11
10
00
00
00
11
01
00
01
11
00
01
01
00
11
10
10
00
01
10
10
10
00
00
00
11
10
01
00
10
00
10
00
00
00
10
01
00
00
00
01
00
11
10
00
10
10
00
01
10
10
00
00
00
10
00
00
11
00
10
11
10
01
10
01
10
00
10
11
00
01
00
10
10
00
00
00
00
11
10
10
00
11
10
11
10
10
10
10
00
00
10
10
10
11
11
01
10
11
00
10
11
00
00
00
10
11
11
01
00
00
10
11
01
00
11
10
10
00
10
10
01
10
11
00
10
01
00
10
01
10
00
10
00
01
00
11
10
11
10
00
00
00
11
00
10
10
01
10
10
10
01
01
10
10
00
10
10
00
11
10
00
00
10
00
00
01
00
10
10
10
11
00
10
00
11
10
11
10
00
00
00
01
00
00
10
11
01
01
11
11
11
00
01
00
01
10
10
01
00
11
00
01
10
01
00
00
10
10
00
00
01
10
00
10
00
10
01
10
00
00
00
00
00
00
11
10
10
00
01
10
10
01
11
10
10
00
11
00
00
10
00
00
10
10
00
11
00
11
10
01
10
11
00
10
00
00
00
00
01
11
01
10
01
11
11
11
10
00
11
10
00
10
11
00
11
01
10
10
00
00
11
00
00
11
10
01
11
11
00
01
10
01
01
11
10
00
00
10
01
00
10
10
11
10
01
00
11
01
00
10
00
00
10
00
01
10
10
00
10
00
10
10
01
10
10
01
00
11
00
00
00
11
00
10
11
10
00
01
11
10
01
00
00
10
10
00
10
11
01
10
01
01
00
00
01
00
10
11
01
11
10
00
10
00
00
10
10
00
00
10
01
10
00
01
10
01
00
00
00
00
11
01
00
10
10
00
10
00
10
10
01
00
11
10
10
01
10
01
01
00
10
11
00
00
11
01
11
10
00
00
01
10
10
10
00
10
11
00
10
00
01
10
00
11
01
11
10
00
00
00
11
10
11
01
10
10
01
01
00
11
10
01
00
10
01
11
10
00
00
10
10
11
00
00
10
10
10
00
10
11
00
00
00
10
10
00
10
01
10
11
00
00
00
10
01
00
00
11
11
00
00
11
10
01
10
00
00
10
00
00
00
01
10
00
00
11
00
11
10
10
10
00
00
11
01
00
10
00
10
10
10
01
00
10
10
10
01
00
00
11
11
00
00
10
01
10
00
01
11
11
00
10
00
00
10
10
11
01
01
11
10
01
00
00
00
10
00
00
11
10
10
10
01
00
00
00
10
11
10
00
10
10
10
00
10
00
11
01
10
10
10
10
00
11
00
01
00
00
10
10
10
01
00
11
00
11
11
00
00
01
10
10
10
01
10
10
10
00
00
10
00
11
01
01
11
10
00
01
00
10
11
00
01
10
01
00
10
10
10
11
00
00
01
10
01
10
10
00
01
11
11
01
10
00
00
01
00
10
10
00
00
10
10
10
11
00
01
10
11
01
01
00
11
01
00
01
10
10
01
01
11
01
00
11
01
10
10
00
00
10
10
01
01
10
00
10
10
01
00
00
10
11
11
01
10
00
01
10
11
10
00
00
10
01
11
11
00
00
11
10
00
11
00
00
10
00
10
00
00
11
01
01
00
01
00
00
00
11
10
00
11
11
00
00
10
00
01
01
11
10
10
11
00
10
00
00
11
11
00
10
00
00
11
11
10
00
00
10
10
10
10
10
00
01
10
00
10
11
10
10
01
00
11
10
01
10
10
00
10
00
00
10
10
11
00
00
10
00
01
11
11
10
11
01
00
01
01
10
10
00
11
11
01
10
01
01
10
10
01
01
11
10
00
00
10
10
10
10
01
00
10
00
00
00
10
11
01
00
01
10
11
00
10
10
10
10
00
01
10
10
01
00
10
10
00
10
11
10
11
00
00
00
11
01
00
10
11
00
00
00
00
10
10
01
01
00
00
00
10
10
10
00
10
11
10
01
11
11
01
00
00
00
00
11
10
00
01
10
11
00
11
00
00
11
10
10
00
11
00
00
00
00
10
11
10
11
10
10
10
11
11
11
00
00
00
00
10
11
00
00
10
01
10
10
11
01
10
11
01
00
00
10
00
00
10
11
10
01
00
01
01
10
00
10
00
10
10
01
01
11
01
01
11
10
00
10
10
00
01
10
00
00
10
10
00
00
01
10
10
10
10
10
00
10
00
10
11
00
00
10
01
11
10
00
11
10
10
01
00
10
11
01
10
01
01
11
00
01
11
10
00
00
11
11
00
00
00
11
11
10
01
10
10
00
00
01
10
00
01
11
01
01
10
10
00
01
11
00
00
00
10
00
10
10
01
11
10
00
11
00
00
11
01
00
10
10
00
01
00
00
10
00
00
11
00
11
11
00
10
10
01
01
10
10
11
00
00
00
11
10
00
10
10
00
01
00
10
01
11
01
10
11
00
01
10
10
00
10
10
00
11
00
00
10
00
10
10
01
11
11
00
10
01
01
00
11
00
01
10
10
10
00
01
10
00
01
00
11
11
00
01
01
01
10
11
01
10
10
01
00
10
00
00
10
00
11
00
10
00
00
01
10
10
10
10
00
00
10
00
01
00
10
10
01
00
01
10
10
11
00
00
10
10
01
11
11
11
10
10
10
01
00
11
11
01
00
10
10
00
10
00
10
11
00
10
00
00
10
10
00
00
10
01
00
10
00
00
01
01
01
11
11
00
00
00
10
11
01
00
11
11
00
00
11
00
01
00
00
00
00
10
11
01
00
00
00
00
00
00
10
10
11
10
00
01
10
00
00
10
00
00
10
11
00
00
10
10
10
00
00
00
00
10
10
11
00
10
00
01
00
00
10
10
00
10
11
00
00
00
10
10
00
11
10
10
00
10
00
00
10
11
10
01
01
00
10
00
10
10
00
01
11
10
00
01
10
10
10
00
11
10
11
01
10
11
00
10
11
01
01
11
10
00
01
10
00
11
10
11
01
00
10
00
11
01
01
10
00
10
11
10
00
00
11
01
00
00
10
00
10
00
01
10
00
00
00
10
10
11
10
01
00
00
00
10
00
00
10
11
00
10
00
11
00
00
00
10
10
10
00
00
10
10
10
01
10
00
11
10
00
00
10
10
10
00
11
00
01
00
11
10
00
10
10
10
01
10
11
10
00
00
00
10
11
01
01
00
10
00
10
00
10
11
00
01
10
00
00
00
00
10
00
01
01
00
10
11
10
10
00
00
10
11
10
11
01
00
00
00
00
01
11
11
00
10
11
00
11
11
10
00
01
00
10
01
00
11
10
00
00
01
01
11
00
01
00
10
01
10
11
00
11
11
10
10
01
01
00
00
10
00
11
00
00
11
00
10
00
00
11
01
00
00
11
10
01
00
10
10
01
00
01
10
11
00
00
00
01
10
10
00
01
10
00
01
10
01
00
00
10
10
10
11
01
11
00
01
01
01
11
10
10
00
00
01
10
01
10
00
11
00
10
11
01
00
10
01
00
10
00
10
11
11
01
00
10
11
01
00
11
10
01
00
10
10
00
00
00
10
10
01
10
01
00
00
01
00
00
11
00
00
01
11
00
00
10
10
00
01
10
10
00
11
00
01
01
10
11
11
00
00
10
00
00
01
11
01
00
10
10
10
00
00
10
10
10
10
01
01
00
00
01
10
11
00
00
10
00
01
10
00
01
10
10
10
00
10
10
10
01
00
10
00
01
10
11
00
01
11
10
00
00
11
00
00
11
01
11
11
11
00
00
10
00
00
10
10
01
00
00
11
01
00
00
11
01
00
11
01
01
11
01
00
10
00
01
10
10
11
00
00
10
11
10
00
00
00
10
10
11
10
01
01
01
10
10
00
00
00
00
00
00
00
00
10
00
01
01
01
00
10
11
10
00
10
11
00
00
10
01
11
10
00
11
10
00
00
01
10
11
00
10
00
01
10
01
11
10
00
10
10
11
10
00
11
10
01
01
00
00
10
00
11
10
01
00
00
10
00
01
00
01
01
10
00
11
11
01
01
10
10
00
00
11
10
00
00
01
10
10
00
10
11
10
01
00
11
11
01
00
01
10
10
10
01
10
10
10
11
00
11
00
01
00
10
01
10
11
00
00
00
10
10
01
10
10
01
01
10
10
01
00
01
00
00
10
10
00
10
10
00
00
10
11
00
00
11
11
10
00
00
00
11
10
10
01
00
10
10
00
10
11
00
00
11
10
11
00
00
01
00
10
11
10
00
00
11
01
00
10
10
00
00
10
01
01
00
01
10
00
01
00
11
01
00
11
10
01
10
10
11
00
01
00
11
00
00
00
11
10
10
00
00
00
00
11
10
10
10
00
10
10
10
11
01
01
10
01
10
10
00
10
10
00
01
10
10
10
00
00
00
00
01
11
11
10
00
10
00
00
00
11
10
10
10
11
00
00
10
00
10
10
10
00
10
01
11
10
00
11
01
10
10
00
00
11
00
00
10
10
10
11
00
11
10
10
10
00
10
11
00
00
00
10
11
00
11
00
10
10
10
11
00
01
00
00
10
10
10
10
01
11
10
01
00
01
10
01
01
01
01
10
10
01
00
11
10
10
01
10
10
01
00
10
10
00
00
11
11
00
10
10
00
00
01
00
00
00
01
00
00
11
00
11
10
10
10
10
00
11
00
00
10
10
00
01
00
01
10
10
00
00
00
00
00
00
10
10
10
10
01
00
01
10
10
11
10
00
11
00
01
11
10
10
01
11
01
01
10
00
10
11
11
10
00
01
00
01
00
00
10
00
00
10
10
11
00
00
00
10
00
11
10
10
10
00
00
10
10
00
10
01
10
11
11
10
10
10
00
10
10
00
00
00
00
10
10
11
11
10
10
00
00
00
01
10
11
10
01
00
00
10
10
01
00
10
10
00
11
00
10
10
11
10
00
11
00
00
10
01
00
01
10
11
00
01
10
00
01
00
01
10
11
10
11
00
00
10
00
10
11
10
00
00
11
00
00
11
01
01
10
00
10
01
10
11
00
11
01
11
11
10
10
01
10
10
00
00
11
00
10
00
11
01
00
01
10
11
11
00
00
00
11
10
10
11
01
01
01
00
10
01
00
00
10
11
10
00
00
00
00
11
00
00
10
00
01
11
10
11
10
01
10
00
00
00
00
10
10
10
10
01
00
11
10
00
00
11
00
01
10
10
00
10
11
01
10
10
10
01
10
10
10
10
10
11
00
00
11
11
01
00
10
10
11
10
11
00
00
10
01
11
00
11
11
00
10
00
10
00
00
00
01
01
10
10
00
00
10
10
01
01
10
10
10
00
00
00
01
10
11
00
11
00
10
10
01
10
10
10
01
11
11
11
01
10
01
00
11
10
00
00
00
11
11
00
01
11
11
10
00
11
00
10
10
01
01
10
10
00
00
10
01
11
10
00
10
00
00
00
00
10
00
11
11
01
01
00
11
11
10
00
00
10
11
11
00
11
11
00
11
10
11
00
00
10
11
00
00
10
10
00
10
01
00
10
10
11
10
01
01
10
10
10
10
11
00
10
10
10
10
00
01
11
00
00
10
00
11
00
01
00
00
11
10
10
11
01
01
11
10
00
00
10
10
00
00
10
00
01
00
10
11
11
00
00
10
00
00
00
00
10
11
11
00
01
01
10
01
00
00
10
10
00
10
00
10
01
00
10
00
11
10
10
10
10
01
01
00
10
01
10
11
11
11
10
01
10
00
11
11
01
01
10
11
00
11
10
11
01
01
00
11
11
01
10
10
00
01
00
10
00
00
00
01
00
10
10
11
00
11
01
00
11
11
10
01
00
10
10
10
00
00
10
10
10
11
10
00
10
01
11
01
00
00
01
10
01
00
00
10
11
00
00
10
11
10
11
11
00
00
10
01
00
00
10
01
10
00
01
10
10
10
01
11
10
11
00
10
11
00
00
10
00
10
10
00
00
01
10
10
11
10
00
01
10
01
10
11
01
11
10
10
00
11
10
00
00
00
01
00
01
01
00
11
00
10
01
01
10
10
01
00
00
10
10
11
10
10
10
00
11
10
01
00
10
10
01
11
10
11
00
00
10
10
00
00
01
11
10
10
10
10
10
10
00
00
10
11
11
00
10
10
10
10
01
00
00
10
11
01
00
11
10
00
00
01
01
10
00
01
01
10
01
00
11
10
10
10
00
11
01
00
10
11
00
10
10
00
01
11
10
10
10
00
11
00
00
10
00
00
01
11
01
11
10
01
10
00
10
11
00
11
00
10
00
01
10
10
11
00
00
00
10
10
10
00
10
01
00
10
00
00
11
00
10
00
00
10
01
10
00
00
00
00
10
00
11
10
01
00
01
00
10
00
10
10
00
11
00
11
10
01
11
01
11
01
00
11
10
00
11
10
00
11
10
10
10
10
01
10
10
00
00
00
00
00
11
11
10
11
00
01
00
10
11
00
11
11
10
00
00
10
11
10
00
11
00
11
11
00
00
00
00
01
10
10
01
10
10
10
10
10
11
11
10
00
10
10
10
01
01
10
11
00
11
11
10
00
11
00
00
01
00
11
00
00
10
01
00
10
00
01
10
10
10
11
10
00
00
00
00
11
10
10
11
00
10
10
00
10
11
00
00
10
00
00
10
00
00
10
11
00
00
00
10
00
11
11
00
00
10
10
00
01
10
10
01
01
00
10
11
00
01
10
11
01
10
01
10
11
00
00
00
10
11
00
10
10
10
10
10
00
00
10
00
00
10
00
10
11
10
11
10
01
01
10
00
01
00
10
01
11
11
00
11
01
00
10
10
10
00
00
10
01
00
11
10
00
01
01
10
11
01
01
00
00
01
10
10
10
01
11
00
00
10
10
10
00
00
11
10
10
00
01
00
10
00
00
10
10
10
10
00
00
00
00
11
00
00
10
00
00
10
11
11
10
00
00
10
11
11
11
00
10
00
11
10
10
00
01
01
01
01
10
10
10
00
10
00
00
10
00
00
00
10
10
10
00
00
10
00
01
11
10
01
00
00
10
11
01
10
10
00
10
01
01
01
11
11
00
00
10
01
01
11
10
00
11
11
10
11
10
00
00
00
10
00
01
11
00
11
00
01
10
11
00
11
11
00
01
10
00
00
11
10
11
01
00
10
00
00
10
10
10
00
11
10
01
11
00
11
00
00
01
01
10
10
01
00
10
00
10
00
00
00
10
00
11
11
00
00
00
00
10
00
01
11
10
01
00
00
10
10
00
01
01
11
10
01
10
10
10
01
00
10
10
01
10
00
00
10
00
10
00
11
00
01
11
10
01
11
01
01
00
10
10
00
10
00
00
01
10
11
10
00
00
10
01
01
01
10
00
01
11
01
01
11
11
01
00
00
00
11
10
11
00
00
01
00
00
00
11
10
10
01
01
11
00
11
10
11
00
01
00
10
10
00
00
10
10
10
10
11
01
01
10
11
01
00
00
00
10
10
10
10
01
00
10
11
00
10
10
10
10
01
10
01
10
10
00
10
00
00
00
10
10
00
01
01
00
10
10
10
10
00
00
01
11
00
10
11
10
10
00
11
00
11
11
01
10
01
00
01
10
10
00
00
10
10
11
01
10
11
11
01
11
10
10
00
00
10
01
00
11
01
00
00
11
10
00
00
11
11
00
00
10
10
01
00
00
00
10
11
10
10
00
01
01
01
00
01
10
11
10
10
11
11
10
00
01
10
11
00
00
10
10
10
01
00
10
00
00
11
10
10
11
10
00
00
00
11
01
10
11
10
00
00
00
01
10
10
00
10
00
10
01
11
00
01
01
10
00
10
11
00
10
11
10
00
10
00
01
10
11
00
00
11
10
10
00
10
10
10
00
00
00
10
10
10
01
10
01
00
01
10
10
00
10
10
00
11
11
01
10
10
10
11
01
10
01
00
01
00
00
10
00
10
10
00
10
10
01
11
10
10
00
11
01
00
00
00
10
10
11
00
00
10
11
10
00
00
01
10
01
11
11
01
01
11
00
11
11
00
10
00
01
11
01
11
10
00
00
00
10
01
00
00
11
11
10
11
00
10
10
01
01
01
11
10
00
00
01
01
01
10
10
11
01
11
00
00
10
01
01
11
10
00
00
00
11
10
01
00
00
00
00
10
10
01
00
10
01
00
01
00
01
11
10
00
10
01
00
01
10
10
01
00
11
10
00
00
01
10
01
11
11
10
00
00
00
00
10
10
00
00
10
10
10
10
10
00
10
10
10
10
10
10
00
10
00
00
11
10
10
00
01
11
10
01
10
00
10
00
00
01
00
11
10
00
00
10
01
10
11
00
00
10
10
11
00
01
00
11
01
10
01
10
11
01
11
01
10
10
01
10
11
00
00
10
10
00
00
11
10
00
10
10
11
11
10
10
10
10
01
00
01
10
01
10
10
01
00
01
01
10
10
01
01
00
11
10
00
10
10
00
00
10
10
01
00
10
01
00
01
01
00
10
10
00
00
10
10
11
11
10
10
00
11
01
10
10
01
00
10
11
01
00
01
10
10
11
10
10
00
00
10
10
01
00
10
10
00
00
10
00
00
10
11
11
11
00
00
00
10
10
10
00
01
10
11
10
11
01
10
00
11
11
10
11
01
00
10
10
11
10
00
01
10
00
00
10
00
01
10
00
11
10
10
00
10
10
10
01
00
00
10
10
00
00
11
10
01
00
00
01
00
01
00
10
10
10
11
10
00
00
10
01
00
01
11
00
11
11
00
00
10
10
10
00
00
11
00
00
00
01
10
00
10
01
01
10
10
11
10
01
00
00
10
10
00
00
01
11
10
10
11
10
01
00
10
00
11
11
10
00
00
10
11
10
00
01
10
01
00
00
00
11
01
01
00
10
11
11
11
00
10
00
10
10
00
10
10
10
00
01
00
10
10
10
01
10
00
00
00
00
00
00
10
00
01
00
00
10
00
10
10
00
10
01
00
10
00
00
10
11
01
00
00
00
10
10
00
00
01
10
01
10
10
11
10
00
10
00
01
00
10
10
01
01
01
11
10
01
00
01
10
10
00
00
00
00
10
10
00
10
01
00
10
00
01
01
01
10
10
11
00
00
01
01
10
00
00
11
00
00
11
10
00
10
00
00
10
10
10
00
00
00
10
10
01
11
11
01
11
10
11
00
01
10
11
00
00
01
10
00
00
00
10
10
01
10
11
10
00
00
10
00
00
11
10
10
01
00
00
10
10
00
10
00
00
10
00
10
00
10
11
00
00
00
11
00
01
10
10
00
01
10
10
00
00
00
00
11
10
11
01
01
01
00
11
10
00
00
01
11
10
11
10
10
00
11
00
00
00
11
00
01
11
10
01
10
10
10
11
00
00
00
10
00
10
10
00
10
11
01
00
11
10
00
10
11
00
10
01
00
10
11
00
10
01
01
00
00
00
11
11
00
00
10
11
10
10
00
00
10
10
10
10
11
00
00
01
00
01
10
10
10
10
00
00
00
11
00
11
01
01
11
01
00
11
00
00
01
00
10
10
10
10
00
01
10
10
00
00
11
00
00
10
10
00
00
00
11
00
10
00
10
11
11
11
01
01
00
11
10
00
00
10
10
01
01
00
01
11
11
10
00
10
10
00
01
01
10
11
10
10
10
10
01
00
10
10
01
00
00
00
10
00
10
00
01
00
10
11
01
00
00
11
00
00
10
11
10
00
01
00
01
11
00
10
11
11
01
10
10
11
00
10
10
01
11
10
00
01
10
00
10
10
01
00
10
01
01
01
01
10
11
00
00
10
11
00
01
11
00
00
00
10
01
10
10
01
01
11
11
01
00
01
11
10
10
00
00
11
10
00
00
10
10
00
10
10
10
01
10
01
00
00
11
00
00
10
10
10
11
11
11
00
11
10
11
10
00
00
10
00
00
11
10
00
10
11
00
00
00
11
10
10
10
11
10
10
00
11
10
00
11
01
00
11
00
11
00
11
11
01
00
11
10
00
00
10
10
00
10
11
01
10
10
01
01
10
10
10
10
11
10
00
00
11
00
00
00
00
11
00
00
10
01
00
10
10
10
00
01
00
11
01
11
01
10
10
00
00
10
11
01
01
01
01
10
01
10
00
00
10
01
01
00
11
10
10
01
00
10
11
01
00
01
10
10
10
10
11
00
11
10
11
00
01
10
01
10
10
01
10
00
00
10
10
01
00
00
10
00
01
01
10
00
00
11
11
11
01
10
00
10
10
01
00
01
10
11
00
01
00
00
01
11
00
00
11
10
10
10
00
00
00
00
01
00
10
00
11
10
10
10
00
10
10
10
10
10
10
00
10
01
01
10
01
10
10
00
00
11
01
01
10
00
11
10
10
01
10
10
01
10
00
00
00
10
10
00
00
01
10
10
01
01
00
00
00
01
00
00
10
00
10
11
11
10
00
00
01
00
10
01
01
11
00
00
10
11
10
00
00
10
00
00
10
10
00
00
00
00
00
00
11
01
01
10
01
01
01
10
10
00
01
10
01
10
11
01
01
01
11
10
00
00
10
00
00
10
10
00
00
11
10
01
00
11
10
01
10
10
10
10
00
00
10
10
00
00
11
11
11
10
01
11
10
10
10
00
00
10
00
11
00
01
01
01
00
11
10
10
00
10
01
00
11
00
00
00
11
01
11
11
00
11
00
10
10
10
00
01
10
01
11
10
11
10
10
10
11
01
10
10
00
11
00
10
00
11
10
00
10
01
01
10
11
01
01
10
01
10
11
01
00
10
10
11
00
10
10
01
00
00
00
11
01
11
01
00
00
10
01
00
10
10
01
00
10
01
01
00
10
10
01
00
00
11
11
10
01
00
10
10
00
00
00
00
00
01
10
10
01
10
10
10
11
11
00
00
10
01
00
01
01
10
11
00
11
11
00
01
10
01
00
10
10
00
01
10
01
00
00
10
00
10
00
00
10
00
11
10
00
10
01
10
11
01
00
10
11
00
00
01
10
00
01
10
10
00
10
11
10
01
00
00
10
00
00
00
10
00
10
10
01
10
10
11
01
10
00
01
00
00
01
00
10
00
10
11
00
10
10
01
10
00
10
00
00
11
10
11
10
00
10
10
11
10
10
00
10
01
01
01
00
11
01
10
10
00
00
11
11
00
00
11
10
10
00
01
10
11
00
10
10
10
00
10
01
01
10
10
00
00
11
11
11
00
01
11
10
00
00
11
10
00
10
00
00
10
11
10
01
00
00
00
00
10
11
00
00
00
11
11
00
01
00
00
01
11
11
10
00
00
01
00
01
10
10
01
11
10
00
10
10
10
01
00
01
10
01
10
00
10
11
00
00
00
10
10
00
00
10
00
10
00
01
00
01
01
01
00
01
00
11
10
01
01
10
01
11
10
01
10
10
00
10
10
10
00
00
10
00
00
10
10
10
00
00
00
00
00
10
01
01
00
01
10
10
10
00
11
10
01
11
00
10
10
00
00
10
00
10
10
01
01
10
01
10
10
11
01
00
10
00
11
01
01
10
00
11
10
11
11
00
01
10
01
11
10
00
10
01
10
10
00
11
01
01
00
00
10
01
10
10
00
00
10
11
10
00
10
00
00
10
01
00
11
10
10
01
01
11
00
00
11
10
11
01
00
11
01
01
10
00
00
01
11
00
00
11
11
01
00
10
11
01
01
00
11
10
01
00
00
10
10
00
00
10
10
00
11
00
11
10
01
10
01
00
01
00
01
00
10
11
01
11
11
10
00
00
10
00
10
10
00
11
10
01
11
00
10
10
01
10
01
00
11
11
00
00
11
00
01
10
10
00
11
11
00
00
00
01
00
00
10
01
00
10
10
00
10
00
10
10
00
00
10
00
10
11
10
01
11
10
00
00
10
00
00
10
10
10
00
00
10
10
00
00
10
00
00
00
10
10
10
00
00
00
10
11
00
11
01
01
10
00
10
10
10
01
11
10
00
11
10
01
00
01
11
10
01
10
01
01
10
01
01
10
10
00
01
10
01
10
00
10
11
10
00
00
11
00
01
01
10
10
00
00
10
00
00
00
00
11
01
00
11
00
11
00
01
11
00
10
11
01
01
01
01
11
01
01
00
00
10
10
10
01
01
10
00
00
10
00
00
10
00
00
10
01
00
11
10
00
10
00
00
10
11
00
10
00
10
01
11
10
10
10
10
00
00
01
00
10
10
00
11
10
00
00
10
10
01
01
00
10
11
10
10
01
10
01
01
01
10
00
01
10
11
01
10
10
10
00
01
01
11
10
00
00
00
00
10
10
01
01
01
00
00
10
00
00
10
10
10
01
10
00
00
00
10
10
10
01
01
11
01
00
00
10
00
10
10
00
10
10
10
11
10
01
01
00
00
10
00
11
11
00
10
10
00
01
11
10
01
01
01
11
00
00
00
01
10
00
00
10
10
00
00
10
11
01
01
00
00
01
10
00
10
11
00
00
10
01
00
10
10
01
10
10
00
01
00
10
11
00
01
10
11
10
00
10
00
10
10
01
11
10
10
10
00
11
11
00
00
10
10
11
00
01
10
10
01
10
00
00
00
10
00
00
10
11
00
11
10
11
00
10
10
00
10
10
11
10
11
01
10
00
01
10
00
01
10
11
01
00
11
10
00
00
11
10
00
00
11
11
00
10
11
00
01
00
01
10
11
10
10
10
01
11
11
00
00
10
11
11
10
11
00
10
01
00
10
10
00
01
00
00
10
00
11
10
00
01
00
10
11
10
01
00
11
10
00
01
10
00
01
00
10
10
00
00
00
01
11
10
10
11
01
11
10
01
00
11
11
10
10
00
10
10
10
00
00
10
00
10
10
11
10
00
00
00
10
00
00
00
10
01
00
01
01
00
10
10
10
01
10
10
00
00
11
10
01
00
01
01
00
10
00
00
10
00
00
10
10
00
10
00
01
10
10
00
11
10
00
00
11
10
00
00
00
00
10
00
00
10
00
10
11
00
11
10
01
11
00
00
00
11
00
00
10
00
00
10
10
00
10
00
10
10
11
10
10
00
00
01
00
10
10
10
00
10
10
00
00
00
00
00
01
00
00
10
01
10
01
10
10
11
10
11
00
00
01
10
01
01
10
00
00
10
10
01
01
10
11
01
00
11
00
00
10
11
01
00
10
10
10
00
00
10
11
10
00
10
10
10
01
01
01
00
10
11
10
11
10
00
00
11
00
11
11
00
00
11
11
00
11
11
01
01
00
10
10
00
11
01
00
11
00
11
01
00
11
10
01
10
01
01
00
00
10
00
10
00
00
00
00
11
10
00
01
10
11
00
10
10
10
01
11
01
01
10
11
10
10
11
00
01
10
00
00
10
11
00
00
01
10
11
00
10
01
01
00
01
10
10
01
10
10
00
10
10
10
00
01
10
00
00
00
11
10
01
10
11
10
00
11
00
10
00
00
10
10
00
00
00
10
00
10
00
10
01
01
11
00
01
11
01
10
10
00
11
10
00
00
10
00
00
01
11
01
10
11
11
10
11
10
11
00
10
00
01
00
10
00
01
10
00
01
10
10
00
11
01
00
10
01
00
00
10
11
01
11
00
00
11
11
00
00
11
00
01
11
00
00
00
11
11
10
01
10
10
10
10
10
11
00
01
00
11
10
00
01
11
01
11
10
00
00
10
00
11
01
00
00
10
10
10
10
11
10
00
01
00
00
11
11
11
10
01
01
10
10
10
11
00
01
10
00
10
00
10
10
00
00
00
11
00
10
01
11
11
01
00
11
10
00
00
10
10
00
00
10
10
01
00
00
11
01
01
10
00
11
11
01
00
00
01
10
10
01
00
10
11
00
01
10
00
00
01
11
10
11
00
01
00
10
00
10
10
01
10
11
10
00
10
10
10
10
00
01
11
11
10
00
11
00
00
11
00
00
11
00
10
10
11
00
00
10
00
11
00
01
00
00
10
10
00
10
10
11
00
10
00
00
01
10
10
00
01
10
00
00
10
01
11
10
01
11
10
00
00
01
10
10
11
00
00
00
01
11
10
11
00
01
01
00
11
10
00
00
10
00
10
01
00
10
00
10
10
10
11
10
00
11
00
10
10
10
11
01
10
00
00
01
11
10
01
10
10
10
10
00
00
10
10
01
00
10
10
11
00
11
00
00
01
10
00
10
00
00
11
11
00
00
00
10
10
10
10
10
00
00
10
00
00
10
10
10
10
11
00
00
00
00
10
11
00
00
10
00
10
10
10
11
11
00
00
11
10
01
10
11
00
01
10
11
01
10
10
00
11
11
00
10
11
00
10
11
10
00
00
00
10
00
01
01
01
00
00
00
10
00
00
10
10
11
00
00
00
11
10
10
10
10
10
01
10
11
10
00
00
10
11
11
00
00
00
11
11
10
01
11
01
10
00
00
01
00
10
10
11
10
00
01
10
00
00
10
10
01
01
10
01
00
10
10
10
01
10
11
00
10
11
10
00
01
11
11
10
10
00
11
10
10
11
00
11
00
11
11
01
00
00
10
11
00
00
11
00
10
10
01
00
01
10
00
00
10
11
00
01
10
10
00
10
10
00
10
10
11
00
11
10
01
01
11
00
00
10
10
01
11
01
01
11
10
10
10
00
00
00
11
10
10
00
11
11
10
01
00
00
10
11
01
00
00
10
01
00
00
11
00
00
10
11
00
01
00
00
01
00
01
10
11
01
00
10
00
00
10
11
10
10
00
00
00
11
10
01
01
11
10
10
00
00
10
00
10
10
11
01
00
00
10
00
10
01
11
10
00
00
10
01
11
00
00
11
00
01
10
11
10
00
01
10
00
00
00
11
00
10
01
00
01
00
00
11
11
00
10
10
00
01
00
00
10
00
00
10
10
10
01
01
10
00
01
00
10
01
00
11
10
01
01
01
00
00
11
10
11
10
10
01
10
00
11
10
11
01
10
00
01
10
00
10
10
00
00
00
11
10
10
00
10
10
00
00
11
10
00
00
11
00
00
00
01
00
11
01
00
00
11
11
00
10
11
00
10
00
10
00
01
11
00
10
00
10
11
10
10
10
10
01
10
10
00
01
11
10
00
01
00
10
11
11
00
00
10
11
10
00
00
00
10
10
11
01
10
01
10
11
00
11
11
00
00
10
10
10
00
00
10
10
00
00
10
10
00
01
10
10
00
10
00
00
10
10
10
11
01
00
00
00
00
11
01
01
11
11
11
11
10
10
11
00
01
10
11
10
10
10
01
00
11
00
01
11
10
00
10
10
10
11
00
00
10
00
01
10
11
10
10
00
01
01
00
00
10
11
00
11
01
01
00
10
00
01
10
10
00
00
10
10
01
10
11
10
10
01
01
00
11
10
11
10
01
00
00
10
10
00
00
10
00
11
00
00
10
11
00
11
00
00
10
11
11
00
01
10
00
00
00
10
11
10
11
10
11
00
11
10
01
11
00
10
01
11
10
11
01
10
10
01
11
10
10
01
00
00
00
10
10
10
00
01
11
10
10
00
10
10
01
00
00
01
00
11
10
10
00
10
11
01
11
10
00
10
10
11
01
00
11
00
10
11
10
10
00
00
10
11
00
00
10
10
00
00
00
10
11
11
11
11
00
10
10
00
00
00
11
10
01
00
10
10
10
01
00
10
10
10
11
11
01
10
11
00
01
00
11
01
10
00
00
00
00
01
10
10
10
00
00
00
10
10
10
00
01
01
00
01
00
10
11
10
01
10
00
00
11
00
10
10
00
00
00
11
00
00
11
10
10
10
00
01
10
10
01
10
00
11
11
10
01
10
00
10
01
00
11
00
01
01
00
00
10
10
00
00
10
00
00
00
10
10
00
01
00
10
10
01
00
11
00
10
10
11
00
00
10
10
01
00
10
00
01
11
10
01
10
01
11
10
00
10
00
10
10
01
01
11
00
11
10
10
00
00
10
11
00
01
10
01
00
10
01
01
10
11
10
01
00
10
10
10
00
01
00
10
00
00
00
00
01
00
10
10
01
00
01
10
11
01
01
01
10
10
00
10
01
00
00
10
10
10
11
00
00
10
00
11
10
00
00
11
10
01
00
11
00
00
00
10
10
11
10
00
01
10
10
00
01
10
00
01
10
00
00
11
10
10
00
00
10
10
00
11
11
01
11
00
10
10
00
10
01
00
10
10
10
11
00
00
00
11
11
10
01
00
10
01
10
11
01
00
10
01
11
10
10
00
00
10
01
10
10
10
11
00
00
00
01
10
11
10
11
10
00
00
10
10
00
00
00
00
10
01
10
01
01
10
10
10
10
00
00
01
11
10
10
10
01
11
00
01
00
11
10
00
10
11
10
00
01
00
10
00
01
01
00
10
10
10
01
10
10
00
00
11
01
00
11
00
10
10
11
10
01
10
00
00
10
10
10
10
00
00
10
01
01
01
00
01
11
10
11
11
00
01
11
11
10
00
01
00
00
11
00
10
11
00
10
00
00
11
11
00
00
01
00
10
10
00
10
01
00
00
01
11
00
01
01
00
01
00
01
10
10
01
00
10
10
10
10
10
00
00
00
11
01
11
10
01
00
01
01
10
10
11
01
00
10
10
10
01
10
00
11
11
11
10
00
11
10
11
00
00
10
00
01
11
00
00
10
00
00
01
10
10
00
10
00
00
00
01
01
00
00
00
00
00
00
10
00
10
10
00
11
00
00
00
10
10
11
10
00
10
00
01
00
10
01
10
01
10
10
01
10
00
00
01
10
10
11
00
00
10
01
11
10
01
00
11
10
01
11
00
10
10
10
00
11
10
11
00
00
11
00
10
01
01
10
10
01
00
01
01
00
11
10
10
11
11
00
00
01
11
00
10
10
00
00
10
10
01
01
11
10
10
10
00
00
00
10
00
00
10
01
00
00
11
11
11
00
00
10
01
10
01
10
10
01
00
00
00
10
10
00
11
10
00
11
10
11
11
01
01
00
01
01
00
00
00
11
10
00
10
10
00
00
01
00
10
00
10
11
01
11
10
00
11
10
10
10
00
01
11
10
00
11
10
00
11
11
01
10
00
00
01
10
11
00
01
01
01
11
10
01
01
01
10
10
00
00
11
00
11
10
00
01
10
11
11
10
01
01
01
00
00
10
00
00
01
00
11
11
00
11
10
11
01
11
00
11
10
00
00
00
00
00
11
10
00
00
00
10
10
10
01
01
10
00
01
11
10
00
00
10
00
00
10
11
00
01
00
11
01
10
10
10
00
00
10
11
00
00
00
00
10
00
11
00
00
01
00
11
00
10
00
11
11
00
11
10
00
01
10
01
11
00
00
01
10
10
10
10
01
00
11
00
01
10
00
10
11
00
00
10
10
10
01
00
00
00
01
01
10
11
10
10
00
00
00
00
01
10
10
01
10
11
01
00
11
01
01
10
01
01
00
10
10
00
01
10
00
10
00
00
00
01
11
11
11
00
10
00
10
00
00
11
10
01
00
11
01
00
10
10
00
01
11
01
00
10
00
01
01
11
10
01
10
00
10
00
00
10
00
10
10
10
11
00
11
00
10
01
10
11
10
10
01
00
00
11
10
01
00
10
11
10
00
01
11
10
10
00
00
01
10
10
00
00
11
10
10
01
10
00
00
01
10
11
10
11
10
10
01
10
00
00
01
00
01
10
11
10
10
10
10
10
01
00
10
10
01
10
01
11
01
10
01
00
11
11
10
00
00
00
10
00
10
10
10
11
10
00
11
10
10
01
00
10
01
10
10
10
00
00
00
11
11
10
00
10
01
10
11
00
01
11
10
11
10
01
10
00
01
00
11
11
00
11
10
01
10
10
00
01
10
11
10
00
00
00
01
00
11
10
10
11
10
00
10
00
00
11
00
01
00
11
10
00
00
00
00
00
00
10
00
01
10
11
01
10
00
10
10
00
00
10
10
01
10
01
10
00
00
00
01
11
00
11
00
01
10
10
01
01
11
11
10
10
00
00
01
00
11
11
01
11
00
00
00
10
11
10
01
10
01
01
01
01
10
00
10
01
00
11
10
10
00
01
01
10
00
01
10
10
00
00
10
01
10
10
01
01
10
10
10
11
00
10
11
10
01
00
10
00
10
00
11
10
00
00
01
10
11
10
00
11
00
10
01
00
10
10
11
01
11
01
10
01
00
01
11
11
01
10
10
01
01
10
10
01
00
01
01
10
10
00
01
01
00
10
00
00
01
11
11
10
10
00
01
00
00
10
10
01
00
10
10
10
10
00
00
01
10
11
01
01
10
00
00
10
11
00
10
10
00
01
11
10
01
10
00
00
00
11
01
00
10
00
00
01
01
00
10
01
10
01
00
10
10
11
00
11
00
01
01
00
11
00
01
10
10
10
00
01
10
01
01
01
00
01
00
11
11
01
00
10
10
10
00
00
00
10
01
00
00
10
00
00
00
01
10
11
11
00
01
00
10
10
00
10
00
00
01
11
00
11
00
00
00
00
11
00
10
00
01
10
10
10
00
10
10
10
00
00
11
10
10
00
00
11
10
10
10
00
10
01
01
01
11
10
00
10
10
00
01
00
10
11
00
11
00
01
00
00
00
10
00
10
11
00
10
10
01
11
00
10
10
01
00
11
10
11
10
01
00
01
00
10
00
00
00
10
11
00
00
00
11
01
00
11
10
01
11
10
00
10
10
00
01
10
00
01
10
10
10
00
00
01
10
01
00
10
10
00
10
11
10
01
00
01
10
01
10
10
11
01
00
10
00
00
00
10
10
00
10
10
10
00
00
10
10
10
00
00
11
10
10
10
00
00
11
10
00
01
01
01
00
00
10
10
00
10
00
00
11
00
00
11
00
10
10
01
00
00
00
10
11
10
01
00
00
01
10
11
01
01
11
10
01
01
10
10
11
00
11
01
00
11
10
00
10
00
00
10
01
10
10
11
00
10
10
00
00
00
11
00
10
11
00
01
11
10
00
11
11
10
10
01
00
00
00
11
10
10
10
01
10
01
00
10
10
00
00
10
00
00
10
10
00
10
10
00
00
10
10
00
10
10
00
01
00
10
00
00
10
00
00
10
10
11
10
00
00
00
01
11
11
00
00
01
00
10
00
00
11
11
01
10
01
10
10
01
10
11
01
00
00
01
01
00
01
10
01
10
00
11
11
01
00
01
11
01
01
10
01
01
10
00
10
11
00
01
11
10
01
00
01
11
11
01
00
10
01
00
11
00
00
10
10
00
11
00
10
10
01
10
01
01
10
10
10
10
10
01
00
10
10
11
10
01
00
10
01
11
11
00
00
01
00
11
10
00
00
00
10
10
10
10
10
00
00
10
01
11
10
10
00
00
00
00
10
00
00
00
01
00
01
00
01
00
10
01
00
10
10
00
01
10
10
00
11
01
01
11
10
11
01
00
10
10
00
00
00
11
10
00
00
11
10
00
00
10
10
10
00
00
10
00
01
10
00
00
00
00
11
10
11
10
00
00
00
10
11
11
00
00
10
01
01
01
11
00
10
10
10
01
00
11
11
00
00
11
10
10
01
00
11
11
00
01
10
10
10
11
01
00
00
10
11
00
11
10
01
01
00
11
10
10
10
00
01
11
10
10
01
10
11
10
10
00
11
10
01
10
10
00
10
11
11
00
01
10
00
00
01
11
11
10
01
10
00
01
00
00
11
10
01
00
10
10
10
00
00
00
11
11
10
10
11
00
00
11
10
10
10
01
00
00
00
11
10
00
10
11
10
00
10
10
01
00
11
01
00
00
10
00
10
00
01
11
00
11
00
00
00
11
10
00
11
01
00
00
10
10
10
00
10
10
00
01
10
01
10
01
01
10
10
00
00
11
10
10
11
00
11
11
11
00
00
00
00
10
10
10
01
01
10
10
01
00
11
10
00
10
01
01
00
00
11
00
01
10
10
01
11
10
11
00
01
00
11
10
00
01
10
01
00
00
10
10
00
10
11
10
10
01
10
00
10
10
01
01
00
00
10
11
01
01
10
10
00
00
10
00
11
11
00
00
00
10
00
00
01
00
01
01
00
11
10
10
10
11
00
11
00
00
00
00
00
11
10
00
00
10
11
10
01
01
11
10
01
00
10
11
00
11
11
00
00
01
11
10
10
00
10
00
00
01
00
11
00
01
10
11
00
11
11
00
01
00
10
10
10
00
01
10
00
11
10
01
00
10
10
10
00
11
10
01
01
11
01
00
01
10
00
00
00
10
10
10
00
10
10
00
10
01
10
10
10
10
01
10
00
01
00
10
00
11
11
00
00
00
11
00
10
10
11
00
11
00
10
11
01
11
10
11
01
01
00
11
00
00
10
11
11
00
00
10
01
10
11
10
10
00
00
01
01
10
11
00
11
00
10
10
00
01
10
10
00
10
10
11
00
00
00
10
01
10
11
00
10
00
01
11
10
10
00
00
10
00
11
10
11
00
11
00
10
11
01
11
10
00
01
01
01
10
11
00
11
11
00
01
10
01
11
10
01
01
10
11
10
00
00
10
10
11
01
00
01
10
00
00
00
10
11
01
01
10
10
00
10
10
00
10
00
00
10
10
10
00
00
10
10
00
00
00
00
00
01
00
10
11
10
11
00
00
11
11
00
10
00
10
10
10
00
00
00
10
00
10
00
10
00
00
11
00
10
01
00
00
00
00
10
10
11
11
11
01
11
10
10
01
01
01
00
10
10
11
11
00
01
11
00
10
00
10
11
10
00
01
10
01
00
11
11
01
00
10
01
00
10
10
10
00
00
00
10
00
00
00
10
10
10
01
00
10
00
00
10
10
11
10
00
00
01
00
11
01
00
10
10
00
10
10
01
11
00
01
01
00
10
00
11
01
10
10
01
01
11
00
00
10
10
11
00
10
10
01
01
00
11
10
11
00
11
10
00
10
10
10
00
00
10
00
00
10
01
00
00
10
10
00
00
10
10
11
11
10
00
00
01
00
10
11
11
10
01
01
10
00
10
00
01
00
00
10
00
10
10
01
10
00
10
00
10
01
00
01
00
00
00
11
10
01
01
11
10
10
11
01
11
10
10
00
00
11
00
00
10
00
00
00
01
10
10
10
00
10
00
01
10
10
10
11
00
00
10
00
00
00
10
10
10
10
10
00
10
00
10
00
00
01
00
00
00
00
10
10
00
00
11
11
10
00
10
00
01
10
10
01
11
11
01
10
01
10
00
01
11
10
00
00
00
01
10
10
00
00
00
01
11
10
10
00
10
11
00
00
00
01
10
00
10
10
11
00
00
00
00
11
00
11
00
10
11
00
10
10
01
01
00
10
10
10
10
01
10
10
11
10
01
11
00
10
11
01
00
10
10
00
11
00
01
10
10
01
10
01
01
11
00
00
00
10
00
01
11
11
00
11
10
01
00
01
10
00
11
10
10
11
10
10
00
00
01
10
10
01
10
10
01
00
10
11
00
00
00
00
10
10
10
10
00
00
00
00
10
10
10
10
10
01
01
10
11
11
11
01
11
00
00
00
00
00
10
11
00
11
11
01
00
10
01
00
01
10
10
00
10
00
01
00
11
10
00
11
00
01
10
11
00
11
10
00
01
00
11
10
10
00
10
01
10
00
01
00
11
11
00
10
11
01
10
10
00
00
10
11
10
00
01
10
11
00
11
00
10
00
00
00
10
10
01
10
10
10
10
01
00
10
10
10
00
11
00
01
10
00
00
10
01
10
01
00
00
00
10
11
10
10
01
00
11
01
10
10
10
00
00
00
10
01
11
01
01
00
00
11
11
11
01
00
10
10
10
00
10
11
00
01
00
00
10
00
00
11
00
10
10
00
10
11
00
00
10
10
10
11
10
01
10
01
11
00
00
10
10
11
10
00
10
10
00
01
11
10
10
00
00
01
00
10
10
01
00
01
01
10
10
00
00
10
00
00
00
11
10
00
11
10
00
00
10
10
10
00
11
00
01
10
10
00
00
01
01
00
10
00
00
10
10
00
11
00
01
11
00
00
00
01
10
10
00
11
01
01
10
11
11
10
10
00
00
10
01
00
10
00
00
01
00
00
10
00
10
10
00
10
01
00
00
01
00
11
01
00
00
00
10
11
11
10
01
11
00
11
00
00
10
11
10
11
00
01
01
01
00
00
00
10
10
00
00
10
00
00
00
10
01
01
00
01
01
10
01
00
00
10
00
01
10
10
01
10
11
10
00
00
01
01
00
10
10
00
00
10
11
00
00
01
00
10
10
00
00
00
10
10
00
00
00
11
10
11
11
00
00
01
10
00
00
10
10
00
00
11
00
01
11
11
10
10
00
01
00
11
00
10
00
10
11
00
01
10
11
01
00
10
10
00
01
10
10
00
01
00
11
00
11
10
00
00
10
10
01
10
10
00
01
00
11
01
00
10
10
00
10
11
00
11
10
00
00
10
01
00
00
10
00
00
01
10
00
00
00
01
10
10
00
10
00
10
10
00
00
01
11
01
10
00
00
10
11
00
01
11
11
01
10
00
01
10
10
11
11
00
00
00
00
10
10
11
10
10
10
00
11
11
01
01
00
10
01
11
11
11
00
00
01
10
10
01
10
11
10
01
01
00
10
11
00
11
11
00
11
11
11
10
01
01
00
10
10
10
01
00
10
01
11
00
00
11
01
01
00
10
10
00
01
00
00
10
11
00
00
10
11
00
11
10
00
10
00
00
10
01
10
01
00
01
10
00
00
10
10
00
00
01
11
10
10
00
01
01
11
10
00
00
11
01
11
01
10
10
00
00
10
00
10
01
10
10
00
00
10
01
10
11
00
01
10
01
11
10
01
00
00
10
10
00
10
10
11
10
10
11
01
01
10
00
00
11
10
00
10
10
00
11
01
00
10
00
10
01
10
11
01
00
00
00
00
10
11
01
00
00
10
10
00
10
11
00
11
10
11
01
10
10
00
01
10
01
01
00
00
11
00
10
01
00
10
11
10
10
11
00
01
10
00
01
10
00
01
11
10
00
10
10
00
10
10
00
00
10
00
10
10
10
10
00
11
01
10
10
10
00
11
10
00
10
11
00
00
01
01
11
11
10
10
01
01
10
00
00
00
01
01
10
01
11
11
10
00
11
10
00
10
00
00
10
01
10
10
10
01
10
00
11
10
10
01
00
00
10
10
11
01
00
10
00
00
00
00
10
10
00
00
11
00
10
10
11
00
10
10
00
01
00
10
10
00
10
00
10
11
00
01
10
10
00
01
10
00
00
10
00
10
00
00
00
10
10
00
00
10
10
00
01
10
10
11
00
01
10
01
00
11
01
00
10
11
10
00
00
10
00
10
00
00
00
11
10
01
01
11
11
01
11
01
00
01
01
10
11
00
00
10
00
01
10
10
00
01
10
00
00
00
11
01
10
10
11
00
11
10
10
00
00
01
10
00
01
11
10
10
00
00
00
11
00
11
00
01
10
11
01
11
10
00
10
10
10
01
11
11
10
00
10
00
01
10
10
00
00
00
00
11
11
10
11
00
01
10
10
01
10
00
00
00
11
10
10
00
11
00
00
10
00
10
11
11
00
01
00
10
10
00
00
11
10
00
00
11
11
00
10
10
10
00
01
10
01
11
10
10
00
10
00
00
10
10
01
10
00
01
01
01
10
11
10
10
01
01
10
00
10
10
11
01
00
11
00
01
00
10
10
00
01
10
01
00
10
10
00
10
10
01
11
00
10
01
10
11
00
11
01
00
10
01
00
10
10
01
10
11
00
00
11
10
10
10
10
10
01
00
00
11
01
10
01
00
10
00
00
11
11
11
00
01
10
00
01
10
00
00
00
00
01
00
10
10
00
01
10
10
10
11
01
01
10
11
10
10
01
10
11
00
01
10
00
10
11
01
00
00
00
10
00
01
10
01
00
11
10
11
10
11
10
01
00
11
00
01
11
00
00
11
10
11
01
00
10
10
00
00
11
11
00
10
01
00
11
00
01
10
01
10
10
01
11
00
00
00
10
10
01
10
00
10
10
11
00
00
00
00
11
01
00
10
10
01
00
00
11
11
11
10
01
00
10
10
00
10
00
10
11
00
01
10
11
00
10
10
00
11
00
10
11
00
01
00
10
01
00
11
10
00
00
00
10
10
10
01
01
00
10
00
11
01
10
10
00
11
10
00
00
00
01
11
01
01
10
11
00
01
10
01
00
11
10
01
00
10
00
01
11
00
10
10
00
01
00
01
00
11
00
10
00
10
11
00
10
10
01
00
11
01
00
10
11
10
00
10
10
00
10
11
01
11
00
00
11
11
10
00
00
11
10
10
01
01
01
10
10
11
00
00
01
00
11
01
00
11
10
00
00
00
10
00
00
10
11
00
00
11
00
10
11
01
01
01
10
00
00
10
11
10
00
10
00
01
11
00
10
11
11
11
00
01
10
00
10
10
00
00
11
10
00
00
10
10
10
10
00
01
10
10
00
00
10
00
11
11
01
00
10
01
10
00
10
10
00
00
00
00
01
10
10
00
00
00
10
10
10
00
11
00
01
10
11
01
10
00
00
10
11
11
00
10
11
01
00
00
10
11
10
10
00
10
10
01
00
10
10
01
10
00
00
01
10
00
00
10
01
00
00
00
10
00
00
10
11
01
11
11
00
00
01
10
00
01
10
10
01
00
10
00
00
10
01
10
01
10
00
10
00
10
11
00
00
10
00
11
00
01
10
10
01
11
01
01
00
10
10
10
00
01
11
10
01
10
00
00
01
00
10
10
00
00
00
10
11
01
00
00
10
01
11
00
00
11
11
00
10
10
00
10
01
10
10
01
10
00
01
00
00
00
10
10
00
10
10
01
00
10
10
00
00
00
11
00
10
10
01
00
01
00
10
10
11
10
11
11
01
11
00
00
01
11
10
00
00
00
01
00
01
11
00
10
10
01
11
10
00
11
00
00
01
11
11
11
00
10
10
00
10
01
01
11
01
10
00
10
00
00
10
10
01
01
10
10
10
10
10
01
00
11
01
10
11
10
10
00
00
00
10
10
01
11
01
10
00
10
00
10
00
10
10
10
01
00
10
01
10
01
00
10
10
00
01
10
00
00
00
01
00
10
10
10
01
00
10
00
00
10
01
10
10
01
10
11
00
00
10
00
00
10
00
00
11
00
10
10
00
11
11
10
00
11
00
10
10
11
00
00
00
10
10
10
00
01
10
10
11
10
11
01
10
10
10
10
00
11
00
00
00
10
11
01
10
10
10
01
00
10
00
00
11
01
01
00
11
00
11
11
01
00
10
10
00
10
11
00
01
11
10
10
00
01
10
01
00
00
01
00
10
10
00
10
10
01
11
00
01
10
00
01
10
11
00
01
10
00
01
01
11
10
00
10
10
00
00
10
11
00
11
10
10
00
11
01
10
00
00
10
00
01
01
10
01
00
00
00
10
10
00
00
11
11
01
00
11
01
00
01
10
11
00
01
10
11
00
01
11
10
10
01
11
11
01
11
01
00
11
00
01
11
10
00
11
10
11
10
00
10
10
01
10
00
00
10
00
01
10
10
10
11
11
10
10
00
00
11
10
10
01
00
00
11
10
10
01
00
11
10
11
01
00
00
01
10
10
00
01
00
10
01
00
00
10
11
10
10
10
10
00
01
01
00
10
10
10
10
01
00
00
00
00
10
00
10
10
10
10
10
00
01
11
11
00
01
11
01
11
10
00
00
10
10
00
00
10
11
01
01
00
00
10
10
01
01
11
00
01
10
01
10
10
01
10
11
00
00
00
11
10
10
00
11
01
00
10
10
10
01
10
00
00
10
10
00
00
11
10
10
01
11
10
01
11
11
10
01
00
00
11
00
11
00
10
10
01
00
10
00
00
00
10
10
01
00
01
01
00
00
11
11
01
11
10
00
00
00
10
00
00
11
10
10
10
10
10
10
10
00
11
11
11
10
00
10
10
00
00
11
10
00
01
10
01
10
10
10
00
00
11
00
00
10
11
11
11
00
10
11
01
10
10
10
01
00
00
10
11
00
10
01
00
11
00
01
00
10
11
00
10
11
00
00
00
10
01
00
01
11
00
01
10
10
11
01
00
10
10
00
01
00
01
10
00
10
00
10
01
01
10
00
01
10
10
10
00
00
10
11
10
00
10
10
00
11
10
01
00
10
00
01
11
11
10
11
11
01
10
00
00
11
11
00
00
11
11
00
11
11
01
00
10
00
00
00
10
10
01
11
10
10
10
10
10
10
01
00
10
00
11
00
10
10
01
10
00
01
00
01
11
10
11
11
00
01
10
11
01
11
10
11
10
00
01
11
00
01
10
11
00
00
00
00
00
10
00
01
10
01
10
10
11
00
01
10
01
00
10
00
10
10
10
00
01
10
11
00
01
00
10
10
10
00
11
11
00
10
10
10
01
00
00
10
10
00
00
00
00
11
10
10
00
10
01
00
10
00
11
10
00
10
11
00
01
00
01
10
00
11
10
11
00
11
11
11
00
00
00
10
01
01
00
00
11
00
01
01
00
10
11
01
11
10
00
01
01
00
10
11
10
01
11
10
00
10
10
00
10
10
00
10
10
01
01
10
01
00
10
01
00
10
10
10
01
10
00
11
10
00
00
00
00
00
10
11
00
00
00
00
10
01
01
00
00
00
10
10
11
10
00
00
01
00
00
10
10
00
10
10
00
00
00
01
01
01
10
00
00
11
10
00
11
10
10
10
00
00
10
11
10
10
10
00
10
11
11
00
01
10
10
11
10
00
10
10
01
00
10
00
10
11
11
01
10
11
10
10
00
11
01
01
00
11
00
01
00
00
10
10
01
00
10
00
00
10
01
01
01
11
01
00
00
10
10
00
00
11
10
00
11
00
10
10
00
00
10
00
10
00
00
00
01
11
01
11
00
10
11
10
10
00
00
10
10
11
00
11
01
10
01
00
11
00
10
00
11
01
11
10
01
10
10
00
01
00
10
10
00
00
01
11
01
00
11
10
01
10
00
11
10
00
11
10
00
10
01
01
11
00
01
00
11
10
10
00
01
11
11
11
00
10
10
10
00
11
11
00
01
10
11
00
01
10
01
01
10
01
01
00
10
10
00
00
00
10
00
11
10
00
00
00
00
00
00
10
10
00
11
11
00
01
01
00
00
11
11
00
00
00
01
10
01
10
10
00
10
01
00
10
00
01
10
10
00
10
10
00
00
01
10
10
00
01
00
10
00
01
10
11
10
00
01
10
01
10
11
10
00
01
01
01
11
10
00
11
00
00
00
10
11
10
10
00
00
10
10
11
00
00
01
11
00
11
01
10
00
00
10
01
10
10
01
11
00
00
00
10
00
11
00
11
00
00
10
10
01
00
00
11
10
00
10
00
00
10
10
00
01
10
00
01
01
11
11
00
10
00
01
00
01
10
10
10
00
00
00
11
10
00
10
10
01
10
00
01
10
00
10
11
00
01
00
11
00
00
10
11
10
00
10
01
00
10
01
00
10
01
01
10
11
00
01
10
10
01
10
10
11
01
01
10
00
01
00
11
00
00
10
00
00
11
11
01
10
00
10
10
00
10
10
01
00
11
00
00
00
00
01
10
11
00
11
10
10
01
11
00
01
10
11
00
11
11
10
00
01
11
10
11
00
11
00
00
11
00
01
10
10
00
00
00
00
10
11
10
10
10
01
00
10
10
01
11
11
00
00
10
00
00
11
10
01
00
11
00
00
00
01
01
10
10
00
10
10
11
10
11
01
00
00
00
10
00
01
10
11
00
01
00
00
10
10
11
01
11
00
11
10
00
01
10
10
01
10
10
10
11
00
01
00
10
00
01
00
10
01
10
01
00
10
10
00
01
11
10
11
10
00
00
00
10
10
00
00
01
11
00
00
01
10
00
00
00
10
11
11
11
00
11
00
00
01
00
01
11
10
01
00
10
10
10
00
01
10
10
00
01
01
10
10
01
00
00
00
10
00
01
11
00
11
00
11
00
00
10
00
01
10
11
11
10
11
01
00
11
01
10
11
00
00
01
10
11
00
10
10
00
00
01
10
11
10
10
10
00
10
11
10
00
10
10
10
11
10
00
01
10
10
11
11
00
00
10
00
11
00
10
10
00
10
10
00
00
00
11
10
00
10
01
01
11
01
11
00
00
10
01
00
10
10
00
10
10
00
01
01
00
11
11
10
10
00
00
11
11
01
00
11
11
00
00
10
00
11
10
10
01
10
10
00
10
11
11
10
01
10
01
00
11
11
10
10
01
00
11
10
01
00
11
00
00
10
00
00
10
01
00
10
10
10
01
10
10
00
11
10
11
00
11
00
10
11
00
10
00
11
10
10
01
01
00
11
10
00
00
00
11
10
00
11
00
01
11
00
10
01
00
10
01
01
11
10
11
00
01
00
11
10
00
10
11
10
00
01
00
00
10
11
10
01
00
01
10
10
01
10
10
00
00
11
10
00
00
01
00
10
10
11
10
01
00
00
10
00
10
10
00
10
00
00
10
10
10
00
10
00
11
01
01
10
10
00
00
00
11
10
00
01
10
11
11
11
10
11
11
10
11
00
01
10
01
00
00
10
10
00
01
00
10
01
00
00
01
00
11
11
11
00
00
00
10
10
01
10
01
00
01
10
11
00
01
11
11
01
11
10
01
10
11
00
00
10
10
01
01
10
11
00
00
11
11
00
00
10
10
10
00
00
00
01
10
10
00
11
10
00
10
01
10
00
00
00
00
01
10
10
00
11
01
00
00
00
10
10
00
00
01
01
00
11
10
00
00
00
11
00
11
10
10
01
10
01
10
10
10
00
00
00
11
10
00
10
01
10
00
01
10
00
00
00
00
10
10
10
01
11
11
10
00
00
10
10
10
00
10
10
10
10
11
00
00
00
11
00
01
10
01
00
10
11
11
10
01
00
11
10
01
01
11
10
01
10
10
10
00
00
10
10
10
11
10
00
00
00
00
11
10
11
00
01
01
10
10
00
10
10
00
00
10
10
00
00
00
00
01
00
10
11
00
00
11
10
01
10
11
10
01
00
11
10
00
10
10
00
10
00
00
01
10
10
01
00
10
10
11
11
10
01
01
01
11
01
10
11
00
10
10
11
01
00
11
10
10
01
10
00
01
00
10
01
11
10
10
10
00
10
00
11
10
00
00
10
00
00
00
10
11
00
10
00
00
11
01
11
10
11
10
00
10
10
01
11
01
00
00
00
10
00
00
10
10
00
00
10
10
10
10
00
11
11
01
00
00
10
10
11
10
00
00
00
00
10
10
00
01
10
10
01
11
00
01
01
10
00
10
10
11
01
00
11
00
11
10
00
10
10
00
01
00
01
10
01
11
10
11
00
00
10
11
00
01
11
10
10
10
10
00
00
11
10
10
00
00
11
11
11
00
00
10
00
11
11
11
01
10
10
00
01
10
10
00
00
10
11
10
00
10
00
00
00
00
11
00
01
11
11
00
10
10
01
01
10
00
11
00
11
10
00
10
10
00
00
00
00
00
10
10
11
10
00
01
00
00
10
00
01
11
10
00
01
00
00
10
10
00
00
11
00
00
10
01
01
00
10
00
00
00
01
11
10
11
01
10
11
10
10
00
00
10
11
00
00
10
01
00
10
00
01
10
11
10
11
01
01
10
10
00
01
10
00
00
10
10
10
00
10
00
00
00
11
11
00
11
00
10
00
10
10
00
00
11
10
10
10
00
10
11
01
10
01
00
10
00
10
11
00
00
10
00
00
10
00
10
10
10
11
01
10
00
11
01
10
11
01
00
10
11
00
00
10
00
00
01
00
11
11
10
00
10
00
10
10
01
00
01
01
01
10
10
01
01
10
01
10
00
00
11
00
00
10
11
00
11
10
10
10
01
01
10
10
01
10
10
01
11
00
10
10
00
10
11
10
00
00
10
10
00
11
11
01
11
10
01
00
10
01
01
10
01
10
10
00
11
10
10
00
00
11
10
11
10
01
11
10
11
00
00
10
01
00
01
00
11
10
11
00
10
11
00
11
10
00
11
10
00
10
10
00
01
01
10
00
00
00
00
01
00
01
00
00
00
00
00
11
10
10
11
10
00
10
01
10
00
00
10
00
00
00
00
01
01
10
01
10
00
11
00
00
11
11
11
11
10
00
10
11
11
11
01
01
00
11
10
00
10
10
00
00
00
10
10
00
10
00
10
00
10
10
10
00
11
10
00
11
10
00
00
10
11
11
10
01
00
00
01
10
10
10
10
10
10
10
10
10
10
01
00
00
10
01
10
00
10
11
10
00
00
10
10
01
10
01
01
01
11
00
01
11
11
00
11
10
00
10
00
00
00
11
10
10
01
01
11
01
01
00
00
10
10
11
10
01
00
11
10
10
01
10
00
00
00
10
10
00
00
10
11
11
01
10
11
00
00
11
00
11
00
00
10
10
01
10
11
00
00
00
00
11
00
00
00
01
00
10
10
00
10
10
10
00
10
00
00
00
00
10
10
00
10
00
01
00
11
11
00
10
11
00
00
11
00
00
11
00
10
00
10
01
00
11
10
10
00
01
10
10
01
10
01
10
10
00
10
10
01
11
11
11
10
01
10
11
11
00
00
10
01
00
01
10
10
00
01
10
11
11
10
01
10
00
01
10
00
10
01
01
11
01
10
00
10
00
10
01
01
00
00
10
10
01
10
01
10
10
10
01
11
01
01
11
01
11
00
00
10
10
01
00
00
11
10
00
00
10
10
01
10
11
00
00
01
11
10
00
01
11
11
00
00
11
00
01
10
00
10
01
00
11
01
00
11
10
10
01
10
10
10
00
00
10
00
10
10
11
10
10
10
00
00
10
11
11
10
00
00
00
00
10
10
00
01
00
10
11
11
10
01
01
10
01
00
00
00
01
01
11
01
00
00
00
00
11
10
10
01
10
00
11
10
01
10
00
10
00
10
11
01
00
01
10
00
01
10
10
00
00
10
10
01
10
10
00
00
11
10
10
01
00
10
00
00
10
00
00
01
10
01
00
11
00
00
00
10
10
01
00
00
01
01
10
11
00
00
01
10
11
10
00
01
00
00
10
10
00
00
11
00
01
10
10
11
01
11
10
11
01
01
00
00
10
10
00
00
11
11
10
01
01
00
00
10
10
11
00
01
00
10
01
01
10
10
10
00
10
11
00
11
00
01
10
00
00
00
11
10
10
00
00
00
11
11
10
11
00
00
01
01
10
10
01
00
00
11
11
00
11
10
10
00
10
00
01
10
10
11
00
10
00
11
10
10
00
00
10
00
01
10
10
00
10
01
10
10
01
11
00
00
11
01
01
01
10
11
00
10
10
00
01
10
00
11
11
00
00
10
10
00
10
01
00
00
10
10
10
00
01
00
10
11
10
00
00
10
10
01
10
10
10
10
11
10
01
00
00
01
00
10
10
10
00
00
10
11
10
00
01
10
00
01
01
10
00
00
10
00
01
10
11
00
11
11
11
01
01
11
11
00
10
10
00
10
00
10
10
11
11
00
01
11
10
10
00
00
00
00
11
10
01
10
11
00
10
00
11
00
00
10
11
10
10
01
01
11
10
00
00
10
00
10
10
01
00
10
00
10
10
00
00
11
10
10
10
01
00
10
11
00
11
10
11
01
00
11
00
00
10
11
00
11
00
00
01
10
11
01
01
10
10
01
00
10
10
01
00
10
10
10
11
10
01
00
00
11
00
11
01
00
10
01
11
00
10
10
00
00
10
00
10
10
10
11
10
10
10
00
00
01
11
11
00
00
00
10
10
00
10
10
01
01
00
01
11
10
11
11
11
11
10
01
01
00
00
10
10
00
11
10
00
10
10
01
00
01
11
10
10
11
11
11
11
00
00
00
10
10
00
00
00
11
00
00
00
00
00
01
00
10
10
10
10
11
10
01
10
10
00
11
11
11
01
01
10
10
00
10
10
00
01
00
00
10
00
00
10
00
00
11
10
11
10
00
01
10
11
10
01
10
10
00
11
10
00
00
10
00
11
10
00
10
00
00
11
01
11
00
11
10
01
00
01
10
10
00
00
00
10
10
00
01
11
11
00
01
11
00
00
10
01
00
10
10
11
00
11
00
11
10
01
01
00
10
00
00
10
10
01
10
10
10
10
11
10
11
00
00
10
00
11
10
01
00
01
10
01
11
10
10
10
01
00
00
00
01
10
10
10
00
10
10
10
10
00
00
00
11
11
00
00
00
00
00
11
10
10
01
00
01
01
00
10
00
10
10
01
01
01
10
10
00
00
01
10
10
00
11
10
10
10
00
01
10
01
00
01
01
01
10
01
10
01
00
10
10
10
01
00
10
11
00
10
00
00
01
00
00
11
00
11
00
01
01
11
00
00
00
00
10
10
10
00
11
10
10
10
00
01
10
10
00
00
00
10
11
10
11
00
10
00
10
00
00
10
11
10
01
10
00
00
10
01
11
01
10
10
00
11
01
00
10
10
00
10
00
01
00
11
10
10
10
00
01
10
11
00
01
11
00
01
00
00
10
00
01
11
01
10
11
00
00
00
01
01
10
00
00
01
10
10
11
11
10
01
01
10
00
11
10
00
10
00
00
00
10
01
11
10
00
10
10
10
01
10
11
00
00
10
00
00
10
01
10
10
00
10
11
10
10
10
11
10
00
01
01
10
00
00
10
10
10
00
00
00
10
01
10
10
10
10
11
10
00
11
10
00
00
00
10
11
00
00
00
00
11
10
10
00
10
11
10
10
10
00
10
01
10
00
01
00
00
10
01
01
10
10
00
00
11
11
01
01
10
10
00
00
01
01
11
00
10
00
11
01
00
10
10
01
10
00
11
10
00
01
10
00
00
10
00
01
10
11
11
01
01
00
00
10
11
00
11
10
00
01
11
00
01
10
10
10
00
01
11
00
01
00
00
10
00
10
10
01
01
11
01
10
11
00
01
11
00
01
11
10
01
10
01
11
10
01
00
10
10
00
00
10
10
00
10
01
10
11
11
01
11
00
00
11
10
10
00
01
11
10
01
10
00
00
10
10
10
01
10
00
00
10
00
10
01
01
00
11
10
01
10
01
01
11
01
01
10
10
01
00
10
10
00
00
10
11
00
00
01
00
00
01
00
11
10
10
00
10
10
00
01
10
10
00
11
11
01
10
10
10
10
00
00
11
11
10
10
00
10
01
00
11
00
10
11
10
00
10
00
11
11
01
00
00
10
10
11
10
10
00
01
00
01
10
10
10
01
00
10
00
11
10
10
11
00
01
11
00
01
10
11
11
10
01
01
11
01
10
11
10
00
00
10
11
01
00
00
00
10
10
00
01
10
11
01
00
10
11
10
01
10
11
10
11
01
01
01
10
11
00
00
01
00
00
10
00
10
01
11
10
00
00
10
10
01
00
01
10
10
11
10
11
00
00
10
11
10
11
00
01
10
00
00
00
01
10
01
00
10
11
01
10
01
00
10
10
11
10
10
10
10
10
01
11
11
10
11
10
00
10
00
10
11
00
00
11
10
01
00
01
01
00
11
10
00
00
10
00
01
10
10
10
10
00
00
10
00
00
00
01
00
10
11
01
11
01
11
00
10
00
01
10
10
00
00
01
11
10
00
11
11
10
00
00
11
11
10
00
00
01
00
00
11
11
01
00
00
10
10
10
10
00
00
00
10
01
00
00
00
10
00
01
01
10
11
11
11
10
10
00
10
11
10
01
01
00
10
00
00
10
10
00
00
00
10
00
00
10
00
01
10
00
01
00
00
10
10
00
00
11
10
00
00
00
10
01
00
00
10
11
10
10
01
00
10
10
00
00
10
10
11
00
00
10
10
10
00
01
10
01
00
10
10
01
00
00
10
11
11
10
00
11
10
00
10
01
10
00
01
01
00
11
00
10
10
00
00
11
10
00
10
00
10
00
00
10
00
00
01
11
00
11
10
11
00
01
01
01
00
11
10
00
01
10
11
00
00
11
00
00
11
10
01
11
10
11
00
11
10
10
01
01
00
10
00
00
00
01
10
00
00
11
00
00
01
11
00
10
00
01
00
00
00
10
10
10
11
11
01
11
10
00
10
01
00
00
11
01
00
11
10
11
11
10
00
00
10
10
11
01
10
11
10
00
01
01
11
00
00
11
01
01
10
10
00
00
00
00
00
10
11
00
10
01
11
10
00
10
10
10
00
00
01
00
00
01
01
11
10
00
10
10
10
11
11
00
00
00
00
10
00
00
00
01
10
11
01
10
11
10
00
00
00
10
10
00
01
00
11
00
10
00
00
01
00
10
10
00
10
01
00
10
00
10
10
00
00
00
11
10
00
11
10
10
11
00
11
00
10
11
00
00
10
01
01
00
01
01
10
10
11
10
00
00
10
01
01
10
00
11
10
11
00
00
10
11
10
00
00
00
11
10
01
10
00
00
11
10
01
10
10
10
00
00
11
01
00
00
00
10
11
00
10
10
00
00
10
00
00
10
11
01
10
01
10
10
00
10
00
00
10
10
11
00
00
00
00
10
00
01
10
11
01
00
10
11
00
10
11
00
00
00
11
10
00
01
11
01
00
01
10
01
01
10
00
11
10
11
01
00
00
10
11
11
00
00
10
11
11
10
01
10
00
00
10
11
00
11
10
10
00
11
00
00
00
11
10
01
00
00
10
11
10
10
10
11
00
11
00
00
00
11
11
00
00
11
00
11
00
00
10
10
01
10
10
00
00
00
00
11
10
00
10
11
00
00
00
10
10
10
00
01
01
00
01
11
00
00
10
11
01
00
10
10
00
11
11
10
00
00
00
11
11
00
10
11
10
00
11
00
11
10
11
10
00
01
10
11
00
00
00
10
01
10
11
00
00
10
10
10
01
10
11
10
00
01
00
11
00
00
10
10
10
00
01
00
10
10
00
00
01
10
00
00
10
01
00
10
10
00
01
11
11
00
00
10
10
00
00
10
00
00
10
01
00
10
10
10
01
01
10
10
00
00
00
10
01
11
00
10
10
00
11
10
00
00
01
10
10
00
00
11
11
00
11
11
10
11
01
10
01
01
10
10
11
00
10
10
00
11
01
01
11
00
00
10
10
00
11
10
01
00
00
11
00
10
11
00
00
10
00
00
01
10
10
11
00
01
10
10
01
00
10
10
00
11
10
00
00
10
01
00
01
00
00
10
10
01
00
01
10
11
00
10
01
00
00
10
10
00
11
10
00
10
10
10
10
00
01
11
10
10
10
00
00
10
11
00
00
10
00
00
10
00
00
01
00
10
00
00
00
01
11
10
10
10
01
00
01
01
00
10
10
00
01
00
10
11
10
00
11
10
10
01
00
00
00
00
10
00
01
11
00
11
10
00
10
10
01
00
00
10
10
11
10
00
00
10
10
00
10
10
00
11
00
00
00
10
10
10
11
01
01
10
00
00
10
11
00
01
10
10
11
00
00
00
10
10
01
00
10
01
01
01
10
00
10
00
10
10
00
01
00
10
10
00
11
10
10
10
01
11
01
10
01
10
00
10
11
01
00
10
10
10
10
00
01
10
00
00
00
10
01
01
10
11
10
11
01
10
01
10
00
00
10
10
10
10
00
10
11
00
11
10
10
00
11
00
00
01
00
10
10
00
10
10
01
11
00
00
00
10
10
00
00
00
01
11
01
00
11
10
01
11
01
10
10
00
11
00
00
11
10
11
00
10
01
10
11
01
01
11
10
00
10
01
00
10
00
10
10
01
10
10
01
10
10
01
10
10
10
10
10
00
00
11
00
00
00
00
01
11
10
10
10
11
00
10
00
01
00
00
00
10
11
11
00
00
10
00
10
10
11
01
10
10
10
10
11
10
11
10
10
11
00
00
00
10
10
00
10
10
10
10
10
10
11
00
10
01
11
10
10
01
10
00
10
11
00
10
10
00
11
10
01
00
11
01
11
01
00
11
10
00
01
10
10
01
00
11
10
01
00
11
10
10
01
00
10
10
00
01
00
10
10
10
01
01
10
10
11
01
01
00
00
10
10
01
10
01
00
11
00
01
10
11
00
00
00
00
01
00
11
10
00
01
00
00
10
10
01
00
11
01
00
10
10
00
01
01
00
11
00
00
10
11
10
11
00
00
10
11
00
01
01
01
11
10
01
01
00
01
01
10
10
10
00
00
10
01
10
00
00
10
10
00
00
10
11
10
00
00
10
01
00
10
10
01
00
10
11
00
01
00
11
01
01
11
11
10
10
00
00
10
10
00
00
11
11
10
10
11
00
01
10
10
00
00
10
10
00
01
01
10
10
00
00
01
01
10
10
10
00
00
01
01
00
01
10
10
10
11
00
00
11
10
10
10
00
11
01
00
11
00
00
10
10
00
11
11
00
01
10
10
00
10
11
10
11
01
11
10
00
01
00
01
10
10
11
11
10
10
10
01
11
10
11
00
01
00
11
00
01
11
10
11
11
10
01
10
00
00
10
11
10
11
00
00
10
00
10
11
00
10
00
00
11
10
11
01
10
11
01
11
11
01
00
11
11
00
10
10
01
00
00
00
11
01
00
01
00
10
00
00
10
00
00
10
00
10
10
10
10
01
11
11
10
10
10
00
10
10
00
01
11
01
00
00
00
10
11
01
00
10
00
01
11
00
10
10
10
00
00
01
11
01
00
10
00
00
10
00
10
10
00
11
00
11
10
01
01
00
11
00
11
00
01
10
00
00
11
10
01
11
00
00
10
10
00
10
10
11
00
10
00
00
00
00
10
10
10
01
11
11
00
01
00
10
10
00
10
11
01
00
10
10
11
11
10
10
00
00
00
00
10
10
00
10
01
00
01
11
11
11
01
00
00
10
10
10
00
00
10
11
10
00
00
01
00
00
01
11
11
11
11
00
10
00
00
10
10
00
10
00
11
01
11
01
01
10
10
10
00
10
10
11
00
01
10
10
10
11
00
00
00
01
10
00
11
10
11
00
01
10
11
10
00
01
10
00
11
11
00
10
10
01
01
00
00
11
00
01
00
11
10
01
01
11
01
00
11
11
00
00
01
10
11
11
00
01
10
00
00
00
10
10
00
01
10
00
00
10
11
10
00
01
10
11
10
10
00
00
00
01
11
10
10
11
00
00
01
10
10
00
00
00
10
00
01
01
00
10
11
10
11
10
00
00
10
01
01
11
01
00
01
00
10
10
10
00
10
00
00
11
10
01
10
11
10
10
10
00
01
10
10
00
10
00
00
00
01
00
10
00
00
11
00
10
10
00
01
00
00
10
00
01
00
00
11
10
10
00
10
00
10
10
00
11
01
10
10
00
10
01
01
10
11
10
00
00
01
00
10
10
00
10
00
10
10
10
11
00
00
10
00
11
00
00
01
11
00
10
10
10
10
10
00
00
10
01
00
11
10
01
11
10
11
10
00
00
11
10
00
01
10
00
00
00
10
00
00
10
01
01
00
01
11
00
11
10
00
11
00
00
01
01
10
10
00
00
10
10
10
10
10
11
10
00
00
10
00
01
10
10
01
00
01
11
10
01
00
00
11
00
10
11
00
00
10
00
01
00
11
10
10
10
10
00
00
10
00
10
10
00
01
10
10
10
00
00
10
10
10
11
01
01
10
10
10
00
10
11
01
00
10
00
00
00
00
10
10
11
01
00
11
10
10
00
00
10
00
00
10
10
10
01
10
10
10
00
00
11
01
01
00
00
00
11
00
10
10
00
11
10
00
00
11
01
00
00
10
01
00
11
00
10
11
11
10
10
01
01
11
10
00
00
01
10
01
01
10
10
00
00
01
10
11
01
10
11
11
10
11
10
10
00
01
00
00
11
01
11
10
10
10
10
00
01
00
10
10
00
10
01
00
00
01
00
10
01
01
10
01
11
10
01
11
01
00
10
10
10
00
00
11
10
10
10
00
11
00
00
10
01
11
10
00
00
11
10
00
10
00
00
10
00
11
10
00
01
00
11
01
11
01
10
00
10
11
00
10
00
11
10
10
00
10
01
01
00
10
01
10
10
11
00
01
01
10
10
10
11
00
11
10
00
00
10
01
00
00
11
11
00
01
01
10
00
00
10
10
00
00
10
11
00
00
10
01
10
10
00
01
10
10
11
00
10
01
10
10
00
00
10
10
11
01
10
01
11
01
11
00
00
00
10
10
10
00
01
00
00
10
00
01
00
11
11
01
00
00
10
11
10
00
00
10
11
10
00
00
00
01
00
01
10
00
10
10
10
00
01
00
00
10
10
10
10
11
00
00
10
11
00
01
00
11
00
00
10
11
01
00
10
11
01
10
00
11
11
01
11
11
10
00
10
00
00
11
10
01
00
11
10
01
10
10
11
00
00
00
10
10
10
01
10
01
00
11
11
11
00
00
10
11
11
10
11
10
00
01
10
01
11
10
00
10
00
10
10
01
00
01
10
11
00
01
10
01
00
10
00
01
00
10
00
00
10
10
01
10
00
00
10
00
10
00
11
11
10
01
11
10
00
10
00
10
11
01
10
10
00
10
00
01
10
10
00
01
10
10
10
00
01
10
00
11
10
00
00
00
00
01
10
11
00
11
10
01
00
01
10
10
11
01
01
00
10
11
10
10
00
00
10
10
11
01
01
10
00
10
00
00
10
10
01
11
10
01
00
00
00
00
01
10
00
00
01
00
10
01
00
11
10
00
00
10
10
00
10
10
10
00
10
00
00
00
00
11
00
10
10
11
01
10
10
10
11
11
00
00
11
10
01
00
11
10
00
00
01
00
10
11
01
11
10
00
10
10
11
10
00
00
01
11
11
01
11
11
01
00
11
00
00
10
10
10
00
10
10
10
11
00
00
01
11
00
00
10
10
10
01
10
00
00
01
10
00
00
10
10
11
00
00
00
11
10
00
11
10
11
00
00
10
11
11
11
10
00
00
00
11
00
01
11
10
11
00
10
10
11
01
00
11
10
01
00
00
11
01
00
10
00
01
00
10
10
00
00
00
01
10
11
11
00
01
00
10
11
01
00
01
00
10
10
10
10
00
00
00
00
10
11
10
00
00
10
10
10
01
11
01
10
00
01
10
10
11
10
00
00
01
10
00
00
11
00
01
10
01
11
11
10
00
11
11
01
00
01
00
11
11
01
00
10
11
00
01
10
01
00
00
10
00
11
10
00
00
10
11
00
00
10
00
10
01
00
01
00
10
10
11
01
00
00
10
00
10
10
01
00
10
10
00
10
10
01
00
01
01
10
11
00
10
01
00
00
11
11
11
10
10
10
10
01
01
00
10
11
10
01
01
11
00
01
10
10
11
00
01
10
10
10
10
00
10
00
00
00
10
01
01
11
00
01
11
10
01
10
10
00
10
10
11
10
10
01
01
10
01
00
00
00
10
10
01
00
00
10
00
00
00
11
00
10
10
00
00
11
10
11
10
01
00
11
10
00
01
11
11
00
11
10
10
10
01
00
10
10
00
00
10
00
11
10
10
10
00
00
01
00
10
11
01
10
10
10
00
01
10
11
00
00
00
10
10
00
10
11
01
10
11
10
00
01
10
11
10
10
00
00
10
00
00
11
00
01
00
00
01
01
10
10
10
00
10
10
10
10
01
00
11
01
00
01
10
11
01
00
11
11
01
00
10
11
10
00
01
01
00
10
10
10
00
11
11
00
10
11
10
10
01
01
00
01
00
10
01
00
00
11
10
00
00
10
10
00
11
00
00
00
00
00
10
10
10
01
01
11
01
00
11
10
00
00
10
10
01
01
00
10
00
10
01
00
10
00
10
11
00
10
10
11
01
01
11
00
11
10
10
00
10
10
01
01
11
10
10
00
10
01
10
10
00
11
00
10
11
00
11
11
00
11
01
10
00
00
10
11
11
00
10
11
10
10
10
10
00
10
10
11
10
00
00
10
10
01
01
01
10
11
01
10
00
10
00
01
10
11
10
10
01
11
00
01
11
11
11
01
00
11
11
00
01
11
11
01
00
10
01
10
11
10
01
00
00
10
10
10
00
00
00
01
10
11
10
00
10
11
01
10
01
00
11
10
11
00
00
01
10
10
00
01
10
10
10
00
01
10
01
00
10
10
01
00
10
00
00
10
10
00
11
10
11
01
10
11
00
10
00
00
11
00
11
11
10
10
01
11
10
00
00
00
00
11
10
00
00
10
00
11
11
10
01
01
01
00
10
11
11
01
00
00
10
01
10
11
10
11
00
00
00
00
11
00
00
11
11
00
01
00
10
10
00
00
00
11
11
10
10
01
10
00
01
11
11
11
00
10
00
00
11
00
00
10
10
00
01
00
00
11
10
10
10
10
00
00
11
11
11
10
11
10
00
01
10
10
00
00
10
10
00
01
11
10
10
10
00
01
10
10
00
00
00
10
00
00
00
01
10
11
10
11
01
10
10
00
00
10
11
00
10
00
10
10
00
01
10
01
00
10
10
10
10
00
10
11
10
01
01
10
00
00
00
10
00
00
10
00
11
10
10
10
01
10
10
11
00
00
10
11
10
10
00
10
01
11
10
00
10
11
11
11
00
11
10
00
01
00
11
10
10
01
11
01
10
00
01
10
11
00
00
10
00
00
10
01
00
11
10
11
01
10
10
10
00
00
00
10
00
00
00
01
10
00
00
10
00
10
11
00
00
11
00
11
10
00
10
10
11
00
01
00
10
11
00
10
00
00
11
01
00
00
00
01
00
00
11
10
01
00
10
11
10
11
01
00
10
10
10
00
01
10
00
00
10
11
11
00
00
01
10
10
01
10
00
00
11
00
00
01
11
10
01
01
01
00
00
10
00
00
10
00
00
00
01
10
01
00
10
00
11
00
11
01
00
01
01
10
10
00
11
11
10
01
00
10
10
10
10
10
00
00
10
10
01
11
10
00
00
11
01
00
10
10
00
01
10
11
01
10
11
00
00
00
01
10
11
00
00
01
00
00
00
11
10
00
10
01
11
00
01
00
10
11
00
11
11
10
00
01
11
01
00
11
11
11
10
10
10
01
10
00
11
10
10
11
00
11
10
10
00
00
00
01
01
10
10
00
00
10
01
01
01
01
10
00
10
10
00
10
00
01
00
10
11
10
01
00
00
11
11
11
10
11
01
10
00
10
00
00
10
10
10
00
10
00
10
11
00
10
00
10
10
11
10
00
11
00
01
11
10
10
00
01
11
00
00
10
01
10
01
00
10
10
10
10
00
00
10
10
00
10
10
00
00
11
11
10
10
10
01
10
11
10
01
01
10
10
10
11
11
10
00
00
10
00
10
01
01
11
10
10
11
10
01
11
10
10
10
10
11
01
01
11
10
01
00
00
01
01
01
10
10
01
00
11
10
10
00
10
10
01
01
11
01
01
00
10
01
00
10
11
00
10
10
00
01
11
10
01
00
11
01
11
10
00
01
10
11
01
01
00
00
10
11
11
11
10
00
10
11
00
10
01
00
11
00
00
10
10
10
01
10
01
10
00
00
00
10
11
10
00
10
00
10
00
10
10
00
00
01
10
10
00
10
00
11
01
00
10
10
01
01
00
10
00
00
11
10
01
00
10
00
01
01
11
11
10
10
10
10
11
00
00
10
00
10
11
01
10
11
10
10
10
10
00
11
10
00
10
11
10
11
10
00
10
11
01
00
10
11
10
00
00
10
01
10
00
10
00
01
10
00
00
11
01
10
10
10
00
00
01
01
10
00
11
10
00
11
11
10
00
11
10
11
10
00
01
00
10
10
10
00
10
00
10
10
00
01
00
00
00
01
10
10
01
00
11
10
11
10
00
11
10
01
00
10
01
01
10
10
00
11
01
01
10
11
11
11
00
01
00
10
01
00
11
00
10
10
11
00
11
10
00
01
10
01
11
00
00
10
10
11
11
00
11
10
00
10
11
00
01
11
11
00
00
01
10
11
01
10
01
00
10
10
00
00
00
00
10
01
00
10
10
00
00
10
00
10
11
11
11
00
11
10
10
00
10
00
01
10
11
11
11
00
10
11
10
10
01
10
00
10
01
00
10
10
00
10
10
11
00
11
10
00
11
00
00
00
11
10
10
00
10
00
11
10
00
11
10
10
00
10
00
01
11
11
10
00
10
00
00
00
10
10
01
11
10
10
00
11
00
11
00
00
00
10
10
01
10
11
00
01
01
00
01
10
00
01
01
01
10
11
10
00
00
10
10
00
10
10
11
00
00
00
11
00
00
10
11
00
00
10
00
10
10
10
00
00
10
10
10
01
10
10
00
11
00
10
00
00
10
10
00
01
00
11
11
10
11
11
11
00
10
10
10
11
01
00
11
00
10
10
01
11
10
00
01
00
10
00
10
00
00
11
00
01
00
10
00
10
00
10
10
00
10
10
10
10
00
11
01
10
00
01
11
10
01
00
00
00
00
10
10
00
00
00
11
01
11
10
00
00
00
00
00
10
00
11
00
11
00
11
11
10
10
00
00
11
01
01
00
11
10
00
11
11
01
00
11
00
01
10
10
01
10
11
00
00
11
10
01
10
00
00
00
00
10
10
00
11
11
01
10
00
00
01
11
00
10
00
10
00
00
10
00
00
10
10
11
10
00
01
10
11
00
00
01
00
11
11
00
01
10
01
11
01
01
11
00
00
00
00
01
10
10
11
10
00
00
00
00
10
10
01
01
10
01
01
10
00
01
10
11
00
00
00
10
11
10
01
00
00
00
11
00
11
01
00
00
00
00
10
10
00
01
01
10
11
10
10
11
01
00
01
10
10
11
00
11
01
01
11
00
00
00
10
10
11
00
00
10
10
00
01
01
10
00
01
00
10
10
11
01
00
10
10
00
00
01
01
10
10
11
01
00
00
11
10
01
00
11
10
10
10
00
01
00
11
00
11
10
00
00
11
10
01
00
11
10
10
10
10
11
00
10
10
00
00
11
00
01
10
11
00
10
00
00
10
10
00
10
11
00
10
10
00
00
01
10
01
10
00
10
10
01
10
10
10
00
10
10
10
10
00
00
00
10
11
00
01
10
10
10
10
00
11
10
10
00
00
00
00
00
00
10
01
10
11
10
11
01
00
00
10
10
00
10
01
10
10
10
10
10
01
10
00
10
10
10
00
10
00
01
00
11
01
00
01
00
00
10
11
00
00
10
10
11
00
00
01
11
11
11
11
11
01
11
01
11
10
01
10
00
01
10
10
11
00
00
01
00
10
00
00
10
10
01
00
10
01
00
00
10
10
00
01
11
10
00
10
10
10
10
01
01
00
00
11
00
10
01
10
10
01
10
00
01
00
10
01
00
01
00
10
10
01
01
10
00
00
01
00
11
11
00
00
01
11
10
01
01
00
00
11
10
10
00
00
10
10
10
00
00
11
10
00
01
10
00
00
01
10
11
01
01
11
10
10
10
00
11
10
00
00
01
00
00
00
11
00
00
00
11
10
10
10
00
10
00
00
10
00
11
11
11
01
00
10
00
00
10
10
01
00
01
00
00
10
00
00
11
11
00
01
11
01
01
00
10
10
10
00
00
10
00
01
00
11
10
11
11
10
00
00
10
01
01
10
11
10
01
00
10
00
10
01
00
10
10
11
00
00
10
10
00
10
01
00
00
11
00
11
10
10
11
00
10
11
00
00
10
10
01
01
10
10
11
00
00
10
11
00
10
01
00
00
11
10
01
01
00
10
00
00
00
00
10
11
10
01
10
10
00
00
01
11
10
00
00
00
00
00
11
10
00
00
00
00
01
00
11
10
00
00
00
10
01
10
10
10
00
00
11
10
00
00
10
00
00
10
11
10
00
11
10
10
10
11
01
11
10
01
01
10
11
00
00
11
10
00
01
10
10
10
01
00
11
10
00
11
11
00
10
10
00
01
10
10
10
11
10
00
00
00
10
11
10
01
00
11
11
10
00
01
11
01
10
10
10
00
00
10
10
00
10
10
00
00
00
00
00
10
01
01
00
01
00
11
00
10
11
10
11
00
11
10
00
00
10
11
10
10
00
01
10
00
11
10
10
10
00
01
01
10
10
00
00
10
00
11
11
10
01
00
11
10
00
11
10
00
01
00
00
10
10
10
00
01
00
10
10
10
00
00
10
00
00
10
00
01
00
01
00
00
00
00
00
00
10
10
10
00
00
11
00
10
01
01
00
00
10
00
01
10
10
11
00
00
11
00
10
10
10
01
00
00
01
00
11
10
00
00
00
00
00
10
11
00
01
11
00
00
01
01
00
10
11
00
10
00
00
10
10
01
00
01
10
10
00
10
00
10
10
00
10
10
10
00
00
00
10
01
01
00
01
00
11
01
10
00
01
00
11
01
00
11
01
00
01
11
11
10
01
01
11
01
01
10
10
01
10
10
10
00
00
10
11
10
00
00
00
00
00
00
11
10
00
01
01
00
10
10
01
10
00
00
10
10
00
00
11
10
00
00
10
00
00
11
10
01
00
00
11
11
11
10
10
00
00
00
10
10
01
11
11
00
00
00
10
10
00
01
11
10
01
00
10
11
11
01
00
10
10
11
11
01
00
11
10
10
10
10
11
01
10
01
10
00
00
10
10
10
00
00
01
10
10
10
00
11
10
00
11
11
10
00
11
00
11
00
10
00
10
00
00
10
10
11
01
11
00
00
11
01
10
11
00
00
00
00
11
10
00
00
10
10
00
10
01
01
10
00
00
11
01
00
11
11
00
00
00
00
10
10
11
01
00
00
00
01
00
01
10
10
00
00
10
00
00
11
11
10
11
11
01
10
10
01
01
11
11
10
10
00
01
10
10
01
00
10
10
00
00
00
10
10
00
01
11
00
00
11
00
11
01
00
01
10
11
10
00
01
10
10
00
00
10
10
00
00
00
10
10
00
01
00
01
10
10
00
00
00
10
10
01
11
10
00
00
00
10
00
10
10
00
00
10
11
10
00
11
10
00
01
01
00
10
10
11
01
01
01
10
10
01
10
00
10
10
00
01
11
10
11
10
11
00
00
00
01
10
10
10
01
11
00
00
00
00
00
01
11
11
11
00
10
10
00
00
10
11
00
00
00
10
11
01
00
10
01
00
00
10
10
11
00
00
01
11
11
11
10
00
00
11
00
10
01
01
11
10
10
01
00
10
00
10
10
10
00
00
00
10
10
10
00
01
10
10
00
10
11
01
00
10
10
00
11
01
00
10
01
00
11
00
11
00
10
11
00
10
01
01
10
00
10
10
10
01
10
10
00
01
00
11
10
00
00
10
01
01
10
10
10
10
00
10
00
01
10
10
10
00
01
11
11
00
00
01
01
10
00
11
00
10
10
11
00
01
00
00
11
11
00
10
11
00
00
00
11
10
10
11
10
01
00
11
11
00
01
10
10
10
00
00
00
11
01
01
10
00
00
01
00
10
10
01
10
10
00
00
10
00
01
10
00
10
00
11
00
01
10
01
00
00
11
00
10
10
00
10
00
01
01
10
11
11
01
11
11
10
10
10
00
01
00
01
10
10
10
10
00
10
00
00
10
01
10
00
00
00
11
10
11
11
00
00
10
01
00
01
10
00
00
00
01
10
00
00
10
10
00
00
00
00
00
11
01
10
11
11
00
01
00
10
10
01
01
00
01
10
11
01
11
01
11
10
01
00
01
11
10
00
10
00
00
10
10
10
00
00
01
01
00
00
01
10
00
10
10
00
00
10
11
11
10
00
11
11
00
10
00
01
00
00
01
10
11
00
11
01
00
00
11
10
01
00
10
10
11
00
00
10
01
00
00
10
01
10
11
10
01
01
10
10
10
01
01
10
10
11
00
00
01
00
10
10
00
01
10
11
00
10
10
11
00
10
10
00
11
10
00
10
01
00
11
00
00
11
00
01
00
10
10
00
10
10
10
00
00
00
11
01
00
10
00
10
00
00
01
10
00
00
10
11
10
10
11
10
11
00
10
10
00
11
11
00
00
10
10
01
00
11
10
00
00
11
01
00
00
10
10
00
01
10
11
10
00
00
00
00
10
10
00
01
01
11
10
00
11
11
10
11
00
00
10
10
10
00
01
10
11
00
11
11
00
00
10
00
11
10
00
11
10
11
00
00
10
00
00
00
00
00
10
10
11
10
10
00
00
11
11
00
00
10
01
00
01
10
01
10
00
01
11
00
01
00
11
00
10
10
00
01
00
11
11
00
11
00
10
11
01
00
11
10
00
11
11
11
00
10
01
01
10
01
11
10
01
00
10
10
00
10
10
10
01
00
00
10
00
10
00
00
11
10
10
00
10
10
00
00
00
10
10
00
10
11
10
00
01
10
10
00
10
01
00
01
10
01
00
11
00
00
00
10
10
00
00
01
00
10
10
01
11
11
01
00
01
00
01
01
10
10
00
10
11
00
01
10
01
01
10
01
00
10
11
10
00
01
10
10
01
00
10
00
11
00
00
10
01
00
10
01
00
01
10
10
00
01
00
10
01
01
00
10
11
01
11
00
00
10
11
10
00
00
10
10
01
00
10
01
00
10
10
11
10
00
00
11
01
10
01
00
11
01
00
10
11
10
00
10
11
10
11
00
00
10
10
01
11
01
00
10
00
00
01
10
10
00
11
01
00
11
01
10
10
10
10
00
00
00
10
10
10
00
11
10
00
10
10
10
11
00
10
00
01
10
10
01
01
11
11
01
00
10
00
00
10
10
00
00
10
10
01
00
00
11
10
10
00
10
00
00
10
00
00
10
10
10
00
11
10
10
10
01
11
00
01
10
00
00
00
00
00
01
10
11
01
00
01
00
10
11
11
00
10
10
00
00
11
01
00
01
10
10
10
01
00
01
10
11
01
01
10
00
00
10
10
00
00
10
11
00
10
10
00
00
00
10
00
01
11
00
00
11
10
00
00
10
11
10
01
00
11
00
11
00
10
00
01
01
10
11
00
11
01
00
10
00
01
10
11
00
00
10
00
01
11
00
00
11
01
00
00
10
10
00
00
11
11
10
10
10
00
01
10
11
10
10
10
10
11
00
00
10
10
11
00
11
10
01
10
00
00
10
00
00
01
10
10
11
11
11
01
00
00
01
11
00
10
11
11
11
00
01
00
10
10
10
01
00
10
10
10
00
01
10
00
00
10
10
00
00
10
00
00
11
11
01
00
10
10
00
11
11
10
00
10
00
01
00
10
00
11
10
01
01
10
00
10
10
00
00
01
00
10
10
11
10
01
00
10
00
01
10
10
11
10
11
11
01
10
01
00
10
10
00
00
00
10
10
01
10
01
10
11
00
10
11
01
10
11
01
00
00
11
00
00
00
11
10
10
00
10
11
00
10
00
00
10
00
10
01
11
10
00
10
00
00
00
10
01
10
01
01
11
11
10
01
00
01
10
11
10
00
00
11
00
10
11
01
00
11
01
00
00
11
10
10
11
00
10
00
10
00
00
10
01
01
10
10
00
01
00
00
00
10
11
01
11
11
10
00
00
10
01
01
01
10
00
00
10
00
00
10
10
00
00
10
01
00
10
00
01
10
00
11
10
00
01
01
10
00
00
11
10
00
01
00
11
01
00
11
10
00
00
00
10
10
10
01
00
00
10
10
10
01
00
01
11
11
00
00
00
10
00
01
10
11
00
00
00
10
10
00
10
11
00
11
10
10
10
00
11
11
11
00
11
11
01
11
00
01
11
00
00
00
00
10
11
00
10
10
00
11
00
10
10
10
10
10
00
00
11
10
11
10
11
00
11
01
10
11
00
10
11
00
01
10
11
01
11
00
01
10
10
00
10
01
01
00
10
00
10
10
10
00
01
11
11
10
10
00
00
10
10
10
00
10
01
10
11
00
00
00
11
00
00
11
11
01
11
00
01
01
01
01
00
10
11
11
11
00
11
10
10
10
10
01
11
10
00
00
11
10
10
10
00
00
10
11
01
01
01
00
01
00
00
11
10
11
01
00
10
11
01
00
11
11
10
00
00
10
00
00
11
01
11
10
11
10
10
01
01
10
10
10
00
10
11
00
01
00
00
10
10
00
10
10
10
10
00
10
10
01
11
01
00
01
01
00
01
11
11
01
01
11
10
11
00
00
11
00
11
10
00
00
11
00
10
01
01
00
11
10
00
10
00
10
11
00
01
00
10
10
00
00
10
01
00
10
00
00
10
00
00
10
10
10
00
01
10
00
10
00
01
11
10
10
01
01
10
11
01
00
01
00
10
10
00
00
00
00
11
01
10
11
00
00
00
10
10
01
11
10
10
00
00
00
00
11
01
10
10
01
00
10
10
10
10
10
10
00
00
10
00
00
10
11
11
00
10
11
00
11
10
01
00
10
00
01
01
10
01
01
01
01
10
10
01
10
01
00
10
00
01
00
10
11
00
10
11
00
11
10
10
01
00
10
10
00
00
01
01
11
10
00
00
00
00
11
10
00
10
10
00
01
00
01
01
10
00
00
10
10
11
01
00
10
00
01
11
11
10
10
00
00
11
00
00
10
00
00
10
10
10
11
10
01
11
10
00
10
01
00
10
01
00
10
00
00
00
10
10
11
00
00
00
00
11
11
10
11
00
10
00
10
10
00
00
10
01
00
01
11
10
00
10
01
01
01
00
10
10
00
01
10
00
10
11
00
11
11
01
10
10
01
11
11
00
01
11
10
00
00
00
10
01
01
11
11
00
01
10
11
00
10
10
00
11
00
01
10
01
11
11
01
10
10
00
00
10
00
11
10
00
11
00
01
10
11
01
00
00
00
00
10
11
00
00
10
00
10
10
10
00
11
00
11
10
10
11
11
11
00
00
10
10
00
00
01
00
10
10
00
11
10
00
00
00
11
00
01
10
00
00
01
01
10
00
00
10
10
00
00
01
00
01
10
10
10
10
00
10
01
00
00
00
10
00
01
00
10
10
00
00
00
10
11
10
10
00
01
10
00
11
01
11
10
01
01
00
00
11
11
10
01
00
01
01
11
10
10
00
01
10
01
00
01
01
11
00
10
10
10
10
00
01
10
00
01
00
11
10
00
01
11
01
10
10
00
11
11
00
11
10
10
10
00
10
11
10
00
10
00
10
00
11
01
11
10
00
00
10
10
00
10
10
00
01
11
00
00
11
00
01
10
01
01
11
00
10
00
01
00
11
11
11
10
00
00
00
10
10
01
00
11
11
01
11
11
00
11
11
00
00
10
10
11
11
00
01
00
10
00
10
10
10
11
01
10
00
11
10
01
10
10
01
00
11
10
11
00
01
11
10
01
00
11
10
10
00
00
01
11
10
10
11
10
10
00
11
11
10
11
11
00
10
00
10
10
00
00
00
00
11
00
01
10
00
10
00
00
10
10
11
00
10
00
10
10
10
10
00
00
11
01
00
10
00
10
10
00
00
10
10
10
10
00
01
00
00
01
00
01
10
01
10
01
00
11
10
11
01
01
01
11
00
00
11
11
11
00
00
11
00
01
11
10
01
00
10
01
10
10
10
11
00
00
01
10
10
00
10
11
10
00
10
10
10
10
10
01
00
10
00
00
01
11
11
00
01
11
11
11
10
00
10
11
10
00
01
10
00
00
11
00
01
10
11
00
11
00
11
00
00
10
10
10
00
00
10
10
01
01
11
11
00
01
10
00
00
10
10
11
00
00
00
00
10
10
00
00
10
01
10
10
00
10
00
10
10
00
10
10
01
01
01
00
11
10
10
00
00
10
10
11
11
11
00
11
11
10
00
00
01
01
00
11
10
10
00
00
10
00
01
10
10
11
10
10
00
00
10
00
11
10
00
11
10
10
10
10
11
11
01
11
01
01
11
10
00
00
00
00
11
10
10
11
01
10
11
11
01
00
10
01
00
00
00
10
11
00
01
10
10
00
00
00
10
11
00
00
10
01
10
11
10
00
00
01
00
10
10
00
11
10
11
10
00
00
10
11
01
00
10
10
00
10
00
10
01
00
10
11
00
10
00
00
10
10
00
00
10
00
01
00
10
10
00
10
10
11
01
01
00
01
00
11
11
00
00
10
00
11
00
11
11
00
01
10
00
10
01
00
00
00
10
10
00
00
11
00
01
00
10
00
00
10
10
10
00
00
00
10
10
00
00
10
01
10
00
11
11
00
01
11
11
11
01
10
01
00
11
10
00
10
10
01
00
10
00
00
10
00
00
10
10
00
11
00
10
01
10
00
10
10
01
00
10
00
10
11
00
11
11
11
10
11
00
11
10
01
00
10
10
01
11
00
01
10
01
00
10
01
01
10
11
10
00
11
00
01
11
10
00
00
10
01
00
11
10
00
10
01
01
10
10
00
01
11
00
11
00
00
10
10
00
10
10
00
01
10
10
11
00
10
10
11
10
10
00
01
10
11
11
10
01
01
11
10
10
00
01
00
11
11
00
10
01
10
00
01
10
10
10
01
10
00
01
10
10
11
10
00
10
10
10
10
11
00
01
10
00
01
01
00
11
11
11
00
00
11
10
11
00
00
10
00
01
00
10
11
10
10
01
00
00
00
10
11
00
11
00
00
11
00
10
10
01
00
11
11
00
10
00
11
10
10
01
00
11
11
01
10
00
00
01
00
10
10
01
00
11
10
10
00
11
00
01
00
10
10
00
10
10
01
00
11
00
11
00
10
00
10
00
00
10
10
10
10
10
00
00
11
10
11
00
10
01
10
10
01
10
11
00
00
10
10
10
00
10
10
00
00
01
10
01
00
00
00
11
10
01
00
10
11
00
01
11
10
00
00
00
10
10
00
00
10
11
10
01
01
11
10
10
10
10
01
00
00
01
11
00
01
10
10
10
01
10
10
10
00
00
11
01
01
00
00
00
01
10
00
11
10
00
10
11
01
01
00
10
10
01
00
00
11
10
11
01
01
01
10
11
10
11
00
00
01
00
10
10
00
00
10
10
11
00
00
00
10
10
11
00
10
01
11
01
10
10
01
10
10
11
11
00
10
11
01
00
00
00
10
11
10
11
10
00
10
10
01
10
11
00
10
10
01
00
00
10
10
00
01
11
10
10
00
00
10
01
00
00
10
10
10
01
11
10
01
00
00
01
10
11
10
00
00
10
10
01
00
11
10
01
00
10
11
00
00
00
01
00
11
00
11
10
11
10
00
00
00
10
10
00
00
00
10
00
00
11
10
00
01
01
01
11
10
00
00
10
00
01
10
00
00
10
00
10
11
11
11
10
10
01
11
00
00
10
00
01
11
00
10
01
10
00
11
00
00
00
00
00
00
10
10
00
10
10
11
10
11
10
01
10
01
10
00
00
10
11
00
10
10
00
00
11
10
11
10
00
00
11
00
11
11
00
00
10
01
10
00
01
10
00
01
00
11
11
00
00
00
01
10
11
01
01
11
00
10
00
00
10
10
00
01
10
00
00
10
01
10
11
11
11
01
10
10
00
00
10
00
10
11
11
10
01
10
00
00
11
00
10
11
10
00
11
10
00
11
10
00
10
10
10
00
10
10
01
00
01
10
11
00
10
01
10
10
10
10
01
10
11
00
11
10
01
01
11
00
01
11
10
00
00
00
10
10
00
10
00
00
01
11
00
01
11
00
11
00
00
00
10
10
01
00
00
10
01
11
10
11
01
10
01
10
01
00
11
11
10
10
00
01
11
10
01
00
00
11
00
01
11
10
01
01
10
11
00
00
10
11
00
00
00
10
10
11
10
11
00
11
11
10
00
10
10
10
11
01
10
01
00
11
00
00
00
01
00
01
10
10
01
11
10
10
01
10
00
00
01
10
10
11
00
00
00
10
11
10
01
10
10
00
11
10
00
00
10
00
00
10
01
00
01
10
00
00
10
00
00
00
11
00
01
10
10
00
11
00
11
00
00
10
10
10
00
00
11
01
01
10
10
00
01
00
00
00
01
01
10
10
00
01
10
00
10
10
00
00
01
10
10
00
11
11
10
11
00
00
00
00
01
00
10
00
10
10
10
11
10
00
00
11
11
01
00
10
10
00
11
11
10
00
10
00
00
10
00
00
01
00
11
10
11
10
11
00
01
01
11
01
10
11
00
11
10
00
10
10
11
01
00
11
01
10
00
11
01
00
01
11
11
11
11
00
00
10
10
00
01
11
11
10
00
11
00
00
01
01
10
10
10
11
11
00
01
10
01
00
10
10
00
00
11
00
00
01
01
10
01
10
10
10
00
00
00
10
10
10
10
00
11
10
11
01
11
00
01
00
10
10
01
11
10
01
00
01
10
10
00
01
01
10
00
00
00
11
01
00
00
00
00
00
00
11
10
11
10
01
00
10
10
00
00
10
11
00
00
00
00
11
00
10
10
00
00
10
11
11
01
00
01
01
11
10
01
00
00
10
10
01
00
00
10
10
10
01
11
11
11
00
00
11
01
10
11
11
00
11
00
00
11
10
00
10
01
01
11
00
11
11
00
00
00
00
10
00
01
10
11
00
01
10
01
00
11
01
00
10
10
01
00
10
11
00
00
00
10
11
10
00
00
00
10
10
10
00
00
10
01
10
00
10
01
00
11
10
10
00
01
01
00
00
10
11
00
11
01
01
10
11
00
11
10
00
11
10
00
00
00
10
11
01
01
01
11
10
11
00
10
10
00
00
10
11
10
10
00
10
10
00
01
10
01
01
10
11
00
10
10
01
10
10
00
01
00
10
01
00
11
00
00
10
10
00
00
00
10
11
10
11
10
01
00
00
11
10
00
00
11
10
10
00
00
00
10
01
10
00
01
11
10
01
01
10
00
10
00
00
01
11
10
01
00
00
10
00
00
10
10
10
00
10
00
00
00
11
01
10
11
00
01
10
00
01
00
10
00
10
10
10
00
00
00
11
00
00
00
00
01
10
10
10
01
00
10
11
00
01
11
11
00
11
00
10
00
00
11
11
11
10
10
11
11
10
00
11
01
10
01
00
10
11
00
10
00
00
10
00
01
11
11
11
00
00
00
00
11
10
01
00
00
10
00
10
00
10
10
01
01
00
10
11
10
11
11
10
10
00
11
00
01
10
01
11
11
10
11
00
01
10
10
00
00
00
10
00
10
10
01
11
00
00
10
00
10
01
01
10
11
00
00
10
01
11
00
01
10
00
10
00
10
10
10
10
10
00
11
01
00
01
10
00
10
01
10
10
00
00
10
11
00
00
10
10
00
10
00
00
00
10
11
00
11
10
00
00
10
10
10
01
00
01
00
00
01
11
11
10
11
01
00
11
01
00
00
10
10
01
10
10
00
10
11
01
11
10
00
11
01
00
00
10
10
01
10
01
00
11
10
11
01
10
10
00
11
11
00
00
10
10
00
10
10
01
10
01
11
00
00
10
10
10
11
10
01
01
00
11
10
01
11
10
00
00
10
11
10
00
01
00
10
00
01
10
10
00
01
01
11
11
10
10
00
00
00
10
00
00
01
10
10
10
00
00
10
10
11
10
01
00
11
01
10
11
01
11
10
00
00
01
00
00
10
11
01
10
10
10
01
01
11
10
10
00
00
10
10
00
00
00
00
00
11
11
10
11
10
01
00
00
00
10
00
00
01
11
11
10
10
10
00
10
10
11
01
11
11
11
00
00
11
11
10
10
01
00
10
00
10
10
10
01
00
10
01
01
00
01
10
00
01
10
11
10
11
01
11
01
00
10
11
11
11
00
00
01
00
11
10
00
01
11
10
01
00
11
00
00
10
10
01
00
00
10
11
00
00
00
11
00
11
00
00
10
11
00
01
01
10
00
01
00
11
11
10
01
00
11
10
00
00
10
00
10
10
01
10
10
10
01
00
00
00
00
10
00
10
10
00
11
10
11
00
10
10
10
11
01
10
10
00
10
00
10
11
01
10
10
11
00
10
11
01
00
11
00
01
01
11
00
00
11
10
11
11
01
01
00
10
10
10
00
01
10
11
10
10
00
00
11
00
00
10
10
10
10
11
01
01
10
10
00
00
00
00
10
10
01
10
00
10
00
10
00
00
11
11
00
11
00
10
01
10
00
11
11
00
00
11
10
00
00
00
00
10
10
10
11
00
11
00
11
11
01
10
01
10
11
00
00
10
10
11
00
10
11
00
00
01
00
11
11
11
10
00
10
11
11
01
00
11
01
01
11
00
00
00
10
00
01
10
10
11
00
00
11
01
11
01
00
00
00
11
10
01
00
10
10
10
10
00
00
00
10
00
10
00
11
10
00
10
10
00
00
10
10
00
10
10
00
11
00
00
00
10
11
10
00
01
00
10
10
00
00
11
10
11
00
10
00
10
01
00
11
01
11
10
10
10
00
00
10
00
01
10
11
01
00
01
00
10
10
00
00
10
11
00
00
00
11
00
00
11
01
11
10
00
11
10
01
00
10
11
11
00
00
00
00
00
00
01
10
10
11
10
10
10
10
10
11
00
00
00
11
11
00
01
01
00
00
10
10
00
00
11
10
00
00
01
11
10
10
00
10
11
10
10
10
00
00
01
00
11
00
10
10
10
00
01
11
10
00
00
00
11
00
00
10
11
00
01
00
10
00
10
10
10
01
00
01
10
11
00
11
00
10
01
10
10
00
00
00
11
10
10
00
00
01
01
00
10
01
00
00
11
10
00
10
01
01
10
01
00
10
10
10
10
10
11
00
11
11
01
10
10
00
01
11
10
01
00
11
00
10
00
10
10
00
00
10
00
10
11
00
11
00
00
00
00
10
11
00
11
00
10
00
10
10
01
10
10
10
00
00
00
00
00
01
10
00
10
00
00
01
11
01
10
01
11
10
01
00
10
11
01
10
00
00
10
00
11
10
00
10
01
01
10
11
00
10
10
00
11
10
00
00
11
10
10
00
11
11
10
00
10
00
00
10
00
11
01
00
11
01
00
00
10
10
10
00
01
10
10
00
00
01
00
00
11
00
11
00
10
11
01
01
01
11
00
10
00
11
10
00
01
10
00
00
11
11
10
01
01
11
11
10
00
00
01
10
00
00
11
10
00
10
10
00
10
00
00
01
10
10
00
11
10
00
00
11
10
11
11
00
10
01
11
00
11
11
00
00
10
01
00
10
01
10
10
01
00
01
11
00
00
01
00
10
10
00
10
10
10
10
10
01
10
10
10
01
01
10
11
00
01
00
10
00
11
10
10
01
00
11
10
11
10
00
10
10
01
01
10
00
00
11
10
01
11
10
00
00
10
11
11
01
00
10
10
00
01
10
10
01
00
11
11
01
01
10
10
00
00
11
11
00
10
10
01
11
00
00
00
00
00
00
10
10
10
00
10
00
00
11
11
00
01
10
10
01
01
00
00
10
10
10
00
00
10
00
01
10
01
00
10
01
00
10
10
10
01
00
00
10
10
10
11
00
01
00
10
10
00
00
00
01
00
10
11
01
10
00
11
10
00
01
00
10
11
00
10
00
00
01
11
10
00
00
00
01
10
00
10
10
00
10
10
10
00
11
00
00
10
11
10
10
00
00
10
00
10
11
11
10
11
00
10
10
00
00
01
11
10
10
00
00
10
10
00
00
11
01
11
01
10
10
10
00
01
11
00
00
10
11
10
11
10
00
11
11
00
10
10
10
10
10
00
01
01
01
11
00
10
10
00
01
00
00
10
11
00
00
10
11
11
10
00
00
11
10
10
00
11
11
10
01
10
10
11
00
00
00
10
00
11
01
00
00
10
00
00
01
10
10
00
01
00
11
00
01
01
11
00
00
00
10
00
00
10
11
00
11
01
01
10
10
00
01
00
10
10
10
10
10
01
00
00
11
00
00
00
10
00
01
01
11
00
10
01
10
01
01
10
10
00
00
10
01
10
10
00
10
01
10
10
01
10
00
10
10
00
10
10
00
10
10
00
11
10
11
00
10
01
00
01
10
01
00
00
01
01
11
11
00
01
00
00
00
00
11
11
11
00
10
01
10
01
10
11
00
00
01
10
11
10
10
00
11
00
00
10
11
00
10
11
11
10
10
00
00
00
11
00
11
10
11
11
00
10
00
01
11
01
00
01
11
10
01
10
00
00
01
10
00
00
11
10
01
00
10
11
00
11
10
10
00
00
11
11
10
00
01
01
01
10
00
00
11
11
01
11
10
10
10
00
00
00
10
10
00
01
10
00
01
00
00
00
10
11
10
10
00
00
10
00
10
00
10
10
00
00
11
11
00
01
00
11
10
01
00
10
01
10
10
10
00
00
10
01
10
00
10
10
10
00
00
10
10
00
10
11
10
00
10
10
10
11
00
11
00
10
10
00
00
11
10
11
01
11
00
01
01
10
10
00
00
10
00
00
00
00
11
00
01
10
00
10
11
10
11
10
00
00
10
00
01
10
10
10
00
10
10
00
01
10
11
01
10
10
10
01
10
11
00
11
11
10
10
10
10
00
01
10
00
01
00
00
00
10
00
10
11
00
00
10
10
11
01
00
01
10
11
10
10
00
11
11
00
00
11
00
11
10
11
00
10
10
00
01
01
11
10
10
10
11
01
00
11
11
10
00
00
01
10
11
10
10
00
01
10
11
10
00
00
00
01
10
11
01
01
11
10
00
10
11
00
10
10
01
10
10
00
00
01
11
11
11
11
10
10
01
00
00
10
10
10
00
10
00
00
10
10
10
10
10
01
01
10
00
10
01
10
10
11
10
01
10
00
01
00
10
10
11
00
00
11
00
00
10
10
10
11
00
10
01
00
00
00
10
10
10
00
11
11
11
11
11
01
10
00
00
00
10
01
00
10
11
11
10
10
10
00
00
00
00
10
01
00
10
10
10
11
10
10
00
00
10
00
00
10
00
11
10
10
11
00
00
01
01
10
10
00
01
00
11
01
10
10
11
01
10
00
01
10
10
10
00
00
00
10
10
10
10
00
10
10
01
11
00
00
00
11
10
00
10
11
01
10
00
01
10
01
11
10
01
10
10
00
00
11
10
00
00
10
11
01
00
10
00
11
11
01
10
11
11
10
01
10
01
00
00
10
10
00
01
00
10
01
10
01
00
11
10
00
01
10
11
01
00
10
10
01
10
01
00
11
10
01
01
00
10
10
10
01
10
01
00
01
10
10
10
10
11
01
11
10
01
00
00
10
10
10
00
01
10
00
10
00
10
01
01
10
11
01
01
10
11
11
10
00
00
11
11
10
00
00
01
00
10
10
00
00
01
00
10
00
10
00
00
10
10
01
11
10
00
10
11
11
10
01
10
11
10
00
11
11
00
11
00
01
10
00
01
10
11
00
01
11
00
01
01
10
01
00
10
11
10
01
00
11
10
00
10
10
11
00
00
11
11
00
11
01
01
01
01
00
00
00
10
10
10
01
10
00
10
11
11
00
10
00
11
10
01
10
11
10
01
00
01
01
10
10
00
00
10
00
00
10
00
00
11
01
01
01
01
00
10
11
00
10
10
00
10
00
01
00
11
11
10
00
10
01
01
10
00
01
00
11
01
11
00
01
10
10
00
11
10
00
00
10
01
10
10
01
10
10
10
01
00
00
01
10
01
00
10
10
10
00
10
10
01
00
10
10
00
11
10
01
00
00
10
00
00
11
00
01
10
00
00
00
10
10
10
10
00
00
01
10
01
11
01
10
00
01
00
10
10
00
10
00
10
11
10
00
00
10
00
00
00
01
00
11
10
10
00
00
11
10
10
01
10
00
10
10
01
10
11
10
01
01
10
11
00
00
11
10
00
01
11
00
00
00
10
11
01
10
01
00
00
10
00
11
00
11
10
00
00
00
10
10
11
00
10
01
01
01
00
10
11
10
10
00
01
00
10
00
00
01
10
00
10
10
11
01
10
00
00
11
10
11
10
00
11
10
00
10
10
00
00
10
00
10
10
00
00
10
00
00
10
11
00
11
10
00
10
00
10
01
10
10
00
01
00
00
10
00
10
11
11
10
10
01
00
11
11
10
01
01
00
11
00
00
10
10
10
10
01
00
00
11
11
01
00
00
10
00
11
10
10
00
01
11
00
10
10
00
00
11
10
10
00
00
10
10
10
00
11
10
01
00
10
10
10
10
10
01
00
01
10
10
01
01
00
10
00
00
00
10
00
01
10
10
00
11
10
01
01
01
11
10
00
00
00
10
11
01
01
00
00
00
11
10
01
10
10
00
01
01
01
01
11
11
11
01
10
01
10
10
00
00
01
00
11
10
00
00
10
00
00
00
10
10
10
10
00
01
00
01
10
00
00
00
11
11
00
01
10
11
00
00
10
00
00
10
10
00
00
10
11
10
11
00
00
11
00
10
10
10
11
11
01
01
10
00
00
00
01
00
01
11
00
00
10
10
00
10
10
00
11
10
00
10
10
00
00
01
10
11
00
00
10
11
11
10
11
00
11
01
00
10
01
11
11
01
01
11
01
00
00
11
01
00
10
10
10
00
10
00
01
10
10
00
01
10
10
10
10
10
00
10
10
10
00
01
11
00
00
11
00
10
00
10
00
10
00
00
11
10
00
10
10
10
10
10
11
00
00
00
01
01
11
00
00
00
00
10
11
10
11
10
00
00
10
10
00
10
00
01
10
00
00
00
11
00
10
11
01
00
10
01
00
10
10
10
11
11
01
10
01
01
10
01
01
10
11
10
00
00
00
10
00
10
11
10
10
01
00
11
11
10
00
00
01
10
00
01
10
10
01
10
00
11
01
10
00
01
11
01
10
00
10
10
00
00
00
11
11
11
00
10
00
10
11
01
11
10
00
00
11
11
10
10
00
00
11
10
00
10
00
00
00
01
11
10
10
01
01
00
00
00
01
11
10
11
10
10
10
10
10
00
10
10
11
11
11
00
01
10
10
00
11
00
01
00
01
01
01
00
11
01
00
00
10
10
10
00
00
10
10
01
00
00
10
11
10
10
10
01
01
01
00
11
10
01
10
01
01
11
01
00
01
10
10
00
10
10
00
00
11
01
00
10
10
01
00
10
00
10
10
11
00
11
01
10
10
01
11
01
11
00
11
01
11
10
00
01
10
11
00
01
00
10
00
00
00
11
00
11
01
10
00
10
11
00
10
11
10
00
00
10
00
10
11
10
00
10
11
10
00
10
00
00
01
00
11
00
01
01
00
11
10
00
00
10
10
00
01
00
01
10
01
10
11
00
10
11
10
00
00
00
11
10
01
00
11
10
10
00
01
10
01
01
10
10
11
11
00
01
10
10
00
00
00
11
10
00
11
11
10
00
10
10
00
10
10
00
10
10
11
10
01
00
10
00
10
01
11
10
00
10
10
11
10
10
00
00
00
00
01
11
11
00
10
10
00
01
01
10
10
10
11
10
00
11
10
11
01
10
00
00
01
01
00
10
10
10
00
10
11
00
01
10
00
01
00
11
11
10
01
11
01
10
01
00
11
01
00
01
00
10
10
00
00
01
01
10
01
10
10
00
11
11
10
00
00
10
10
00
00
01
10
11
01
11
00
00
01
10
10
00
11
10
00
10
00
11
00
10
01
10
01
00
10
00
00
01
11
11
10
01
00
01
10
01
01
10
10
11
10
00
00
10
10
01
00
00
00
00
10
10
01
00
01
01
00
11
00
01
10
01
00
00
00
11
11
10
01
00
10
00
01
11
01
11
11
00
00
10
11
10
00
00
10
10
01
00
10
11
01
10
00
11
00
01
01
10
11
01
10
01
00
11
00
11
00
00
10
00
11
01
00
10
10
11
11
10
10
00
10
00
01
00
11
11
10
00
01
10
00
00
11
10
10
00
00
10
00
00
11
00
10
00
00
10
10
01
10
01
01
11
00
01
00
10
11
00
11
11
10
00
10
00
00
11
00
10
10
00
10
11
10
10
01
10
00
10
11
00
00
10
10
10
10
10
00
10
00
00
10
00
01
10
10
01
11
01
10
10
11
00
00
10
00
10
10
10
10
00
01
01
11
00
00
10
10
11
01
10
00
00
11
11
01
00
00
00
11
00
10
11
01
00
10
00
11
01
10
10
01
11
10
10
00
01
10
00
11
10
00
01
10
11
00
01
01
00
11
10
10
11
10
00
10
10
00
10
00
10
10
00
10
10
01
00
10
00
10
00
01
10
10
11
10
10
00
10
01
01
10
10
10
11
00
00
10
00
01
10
10
10
11
00
00
01
10
11
10
00
00
01
10
10
10
01
00
10
11
00
00
00
00
10
10
00
01
01
10
10
01
00
01
10
11
11
11
00
01
00
00
10
11
11
00
00
11
00
10
10
01
00
00
01
10
00
00
11
10
11
00
01
00
11
11
01
11
10
11
00
01
10
00
00
01
11
11
10
00
10
00
10
00
00
10
00
10
00
10
00
10
11
00
00
01
10
00
10
01
10
11
10
00
10
11
10
00
11
01
11
10
10
10
10
00
00
10
10
10
10
11
01
00
00
10
00
01
10
00
00
10
00
00
10
10
10
11
10
10
01
10
00
10
00
01
01
00
01
01
11
01
10
10
10
01
10
01
00
10
00
10
10
00
10
10
10
11
10
11
00
00
10
01
00
11
00
01
11
10
10
11
00
11
10
01
10
10
01
10
10
10
11
00
10
10
10
00
00
10
00
00
10
10
00
10
10
10
10
10
01
10
10
10
11
00
11
00
01
11
10
11
11
01
00
11
11
00
11
00
10
11
01
10
01
10
00
10
11
00
11
10
01
00
11
10
10
00
00
11
11
10
01
01
10
10
10
11
01
01
11
10
11
01
00
00
00
00
10
00
00
00
10
10
10
10
10
01
10
00
10
00
00
00
10
10
00
11
11
00
11
11
11
10
10
00
10
10
00
00
10
10
00
00
10
01
10
10
00
10
10
11
00
00
11
10
11
00
00
11
00
11
11
00
10
11
00
10
00
01
10
11
00
10
00
01
10
01
00
10
10
00
00
10
00
00
00
11
00
00
00
00
10
10
00
00
00
00
00
10
10
00
00
10
10
00
01
11
10
01
10
00
00
11
10
00
01
10
11
10
00
00
11
11
10
10
00
00
00
00
10
00
00
00
10
10
00
10
00
00
10
10
01
00
10
00
00
01
00
10
10
10
01
10
10
10
00
01
10
01
01
11
00
00
00
00
00
10
10
10
10
10
01
00
10
00
00
00
10
00
00
00
10
11
10
10
00
00
10
00
11
10
00
10
00
10
11
00
10
00
10
00
01
00
10
01
00
11
10
11
00
11
11
00
11
11
00
01
01
11
10
10
01
00
11
10
00
00
10
11
10
00
10
10
01
00
11
00
10
00
00
10
10
01
01
00
00
11
10
11
01
00
10
10
10
01
10
10
00
10
10
10
00
10
01
00
10
01
00
10
01
11
10
10
10
10
10
01
00
01
01
10
10
00
00
00
10
10
00
00
00
00
11
01
00
11
11
00
11
01
01
11
10
00
01
11
10
01
11
10
10
10
10
01
11
10
01
00
00
00
10
10
01
00
10
11
10
11
00
00
10
11
00
10
00
01
10
11
10
10
01
00
00
00
10
10
10
01
01
10
10
00
00
00
10
10
00
01
11
01
00
10
00
00
10
00
01
10
10
00
00
10
10
01
00
10
11
00
00
10
11
00
00
10
11
10
01
10
01
10
00
11
10
00
10
01
10
10
10
01
10
10
01
10
00
00
10
01
00
01
10
10
10
10
00
00
00
10
01
00
00
10
00
00
10
11
10
11
00
00
11
00
00
11
10
00
10
10
00
01
11
11
10
11
00
10
10
01
00
00
11
01
11
10
10
00
00
10
00
11
10
11
11
00
01
11
00
01
11
11
00
10
10
00
01
10
10
01
11
01
01
11
10
00
01
11
01
00
10
11
01
00
11
10
00
01
01
11
10
10
01
00
00
10
10
00
01
01
10
11
01
01
11
11
00
00
10
10
10
10
00
00
11
10
10
00
01
00
11
00
00
00
00
11
00
00
10
11
10
00
10
00
00
01
00
11
00
01
00
00
10
10
10
00
11
10
00
00
00
10
11
01
01
10
01
10
00
10
10
00
01
10
00
10
00
00
01
10
10
10
00
10
11
10
00
10
00
10
10
00
00
10
10
01
11
11
00
10
01
10
11
10
10
11
00
00
01
11
00
01
10
01
01
10
10
00
01
10
10
00
10
11
01
00
11
10
00
11
00
01
00
01
11
10
00
00
00
10
00
01
01
10
01
01
00
10
01
00
10
10
00
00
10
00
00
00
10
11
01
10
00
00
11
10
10
10
00
10
10
01
10
00
00
10
00
10
10
00
10
10
01
10
11
10
11
11
11
10
11
01
10
00
11
01
00
00
10
10
10
01
01
11
11
01
01
00
01
10
10
00
00
10
01
00
11
11
00
00
11
00
11
11
00
10
11
00
00
00
10
10
00
01
01
11
10
00
00
10
00
11
10
00
10
01
10
00
01
10
11
10
00
00
10
10
11
00
01
01
00
00
00
01
10
11
11
10
00
00
10
11
00
11
10
00
10
01
00
00
11
10
01
11
11
00
00
10
11
00
00
00
00
10
00
00
11
10
00
00
00
11
11
00
10
01
00
00
10
00
11
11
00
11
11
10
01
10
10
10
00
01
10
00
00
00
11
11
00
00
01
10
11
00
10
10
01
01
10
00
00
10
10
00
00
01
00
00
10
01
10
00
00
10
10
10
10
00
00
10
00
10
11
11
00
11
01
00
01
01
10
11
11
00
01
10
00
01
10
10
10
01
00
10
00
00
11
00
00
00
01
00
00
10
10
11
10
10
00
10
10
00
00
10
00
00
00
11
10
10
10
00
00
00
11
10
10
10
10
10
00
11
00
01
00
10
10
00
01
10
11
00
01
01
00
01
11
10
00
00
10
10
01
10
00
11
11
00
00
00
10
10
00
00
00
00
00
10
01
00
01
10
10
10
00
10
00
00
01
00
11
11
10
00
00
00
10
00
01
11
10
01
01
00
10
10
00
10
10
11
11
01
10
10
11
00
11
11
01
01
10
10
00
10
10
00
00
00
00
10
10
00
11
10
01
10
10
01
00
00
10
10
00
10
10
10
00
00
11
00
10
11
00
01
00
10
11
10
01
10
11
11
00
10
00
10
10
01
01
11
00
01
10
10
01
01
00
11
10
00
01
00
11
01
00
10
10
10
01
11
11
11
00
11
00
10
10
00
00
00
10
10
01
10
11
00
00
10
00
00
00
00
10
00
00
01
10
10
00
00
00
00
10
11
00
00
11
10
01
01
01
10
00
01
11
10
00
00
01
10
11
10
01
00
10
11
01
10
10
10
01
10
11
00
11
01
01
10
11
10
00
00
11
10
00
00
10
10
00
11
01
00
00
00
11
10
01
01
01
10
00
01
10
11
00
01
11
00
11
10
10
01
00
10
10
10
01
10
01
01
10
01
01
01
00
11
10
10
00
01
10
10
10
00
11
10
00
11
00
00
00
01
00
01
10
11
10
11
10
10
00
10
11
00
00
10
00
00
10
11
10
10
10
11
10
00
10
00
00
00
00
11
00
10
00
00
01
10
10
01
00
01
11
00
11
01
11
10
11
00
10
10
10
01
00
00
11
10
00
00
01
01
10
00
11
10
10
11
10
11
00
00
11
10
01
00
00
11
00
00
00
00
10
10
00
00
11
10
11
00
10
10
10
10
01
00
01
00
10
11
00
10
10
01
10
10
00
00
01
11
00
11
00
00
01
01
10
00
11
11
10
00
10
10
00
01
10
00
00
00
10
01
00
11
01
11
00
01
00
00
01
11
10
00
11
10
10
10
00
00
10
11
10
00
10
00
11
10
11
00
00
11
11
11
01
00
11
00
10
00
01
10
11
01
00
10
01
10
10
00
01
10
00
00
10
00
10
11
00
01
10
01
11
00
01
00
00
10
10
10
11
10
00
00
00
10
11
11
01
11
10
10
01
10
00
00
00
10
00
10
01
10
10
11
00
10
10
01
00
10
01
10
11
01
00
10
00
11
00
00
10
11
10
00
01
00
10
10
11
10
10
01
11
10
10
01
00
10
11
01
00
10
00
00
00
10
10
00
10
00
00
00
00
01
10
10
10
10
00
00
01
11
10
10
10
00
10
01
10
10
00
00
00
01
10
01
01
10
01
10
10
00
11
10
10
00
00
10
01
10
01
10
10
10
00
00
11
10
00
00
10
10
01
01
01
00
01
10
00
10
10
00
10
10
00
01
11
00
11
11
00
11
11
00
11
11
01
00
00
10
10
00
11
10
00
01
10
10
00
10
11
10
00
00
00
00
01
10
00
01
11
01
00
11
01
00
01
10
10
11
10
01
01
00
10
00
11
01
11
10
00
00
10
00
00
10
10
00
00
01
10
00
11
01
01
01
11
10
01
00
00
10
10
10
10
01
01
00
11
11
01
10
00
01
10
10
01
11
11
11
00
00
00
10
00
01
11
10
01
00
10
10
10
00
11
01
00
11
01
10
10
01
10
00
10
11
01
11
01
00
00
11
10
00
11
10
00
01
10
10
01
10
01
00
11
00
00
00
10
00
10
11
00
11
11
00
00
00
01
11
10
11
01
10
11
00
10
00
10
10
01
10
11
11
10
10
10
11
00
01
10
00
01
10
10
00
01
10
00
11
00
01
11
00
10
01
01
00
00
10
10
00
11
00
00
00
11
10
11
11
00
11
10
11
01
00
10
10
01
10
10
00
01
00
00
00
10
00
11
11
10
10
01
00
10
10
00
01
10
11
00
01
01
00
00
10
10
10
11
00
10
01
00
10
00
10
10
10
00
00
00
01
10
11
00
10
01
00
10
10
00
01
10
00
11
10
00
01
01
10
10
00
00
00
10
11
10
01
10
00
11
10
10
10
11
00
00
11
10
11
10
00
01
10
11
00
00
10
10
01
00
01
10
00
00
00
10
00
10
10
01
01
01
00
10
11
00
00
11
10
00
10
11
00
01
10
01
00
00
10
10
00
00
00
10
10
00
11
11
00
01
10
10
00
00
00
00
10
10
01
00
01
10
10
00
00
10
00
11
11
01
10
10
01
00
10
00
01
10
10
00
11
10
00
10
01
11
10
00
10
10
10
00
00
01
10
00
10
10
01
00
00
11
11
10
01
00
10
00
00
01
10
01
00
11
10
00
00
00
10
10
00
00
10
10
01
00
01
00
11
10
10
00
01
11
10
00
00
10
00
10
01
01
01
00
11
01
01
10
10
00
00
00
01
11
01
11
11
00
10
00
10
11
00
01
10
10
00
11
00
10
10
00
11
01
00
10
10
11
00
01
11
10
00
00
00
00
00
10
01
00
01
10
00
00
10
10
11
01
10
10
10
10
01
11
00
10
00
01
11
11
10
00
00
10
00
10
00
01
00
10
00
01
10
11
10
01
00
01
10
11
10
00
10
01
11
11
11
11
10
11
00
00
01
11
10
10
00
00
10
00
11
11
10
01
10
00
10
00
01
00
00
11
10
00
00
01
11
10
00
00
01
00
10
01
11
00
10
10
00
00
10
10
10
10
00
00
10
10
10
11
10
11
00
11
00
00
10
00
01
01
00
10
10
10
00
10
10
10
00
00
00
10
10
10
00
00
10
11
10
00
01
10
11
10
00
11
00
11
00
01
01
00
11
00
11
11
00
01
10
10
11
11
00
11
11
00
10
10
10
11
10
00
00
11
01
11
00
01
10
00
01
10
10
10
01
00
00
00
00
11
11
10
10
00
00
01
01
11
10
10
00
10
10
00
11
10
00
11
00
00
10
01
01
01
01
10
11
00
10
10
00
00
10
01
00
10
11
10
00
10
11
10
01
00
11
00
10
10
10
01
01
00
10
00
00
00
00
00
01
10
10
00
11
11
00
00
11
00
00
10
01
00
01
11
11
10
01
00
11
01
00
01
10
11
00
10
00
10
00
11
10
00
10
10
10
00
01
10
11
00
00
00
11
00
00
10
00
01
00
10
11
00
00
10
10
00
00
11
00
11
01
11
11
01
10
00
10
10
01
00
10
10
00
11
01
00
10
10
01
10
00
00
10
00
11
11
01
01
10
01
00
00
10
10
00
00
00
10
10
01
01
00
00
11
00
00
00
10
11
00
11
11
10
01
00
00
00
00
10
00
00
10
11
10
00
01
00
10
11
01
10
01
10
10
11
00
00
01
11
11
11
10
10
00
10
01
00
11
11
01
01
11
10
01
11
10
00
00
10
00
00
10
10
11
10
01
10
11
01
01
01
10
10
00
00
10
10
01
01
00
01
10
10
11
01
00
10
11
00
00
10
01
10
10
00
10
10
00
10
00
01
00
10
10
00
01
10
10
01
10
01
11
00
11
10
10
01
00
10
00
00
01
11
10
10
10
10
01
11
11
10
00
00
10
00
00
10
00
01
10
10
00
10
00
10
01
01
10
10
00
11
10
10
00
10
00
10
11
00
01
10
11
10
01
01
00
00
10
00
00
10
11
10
01
10
01
11
11
10
01
10
00
00
10
01
00
10
10
00
10
10
10
01
01
00
10
01
00
11
10
10
10
00
00
00
10
10
11
10
01
00
10
00
10
01
10
01
10
00
10
10
00
00
11
11
11
10
11
11
01
00
10
00
00
00
00
00
11
10
10
11
10
11
10
01
10
11
00
01
10
00
11
11
11
01
10
10
01
01
00
10
11
00
01
10
01
10
00
00
10
01
00
01
00
10
10
10
11
01
11
00
10
10
11
00
10
00
00
10
00
10
10
00
10
00
00
10
00
10
10
10
00
11
00
11
11
00
11
01
00
00
10
11
00
00
10
00
11
10
10
00
00
00
10
11
10
00
10
10
00
10
01
00
10
00
01
11
00
11
10
01
10
11
00
00
00
10
00
00
11
00
01
11
00
00
00
00
10
10
10
01
00
11
10
10
01
11
10
01
01
10
00
11
10
00
00
10
10
10
11
10
10
01
01
00
01
00
11
00
10
10
00
00
00
10
10
10
00
00
00
00
01
10
10
10
10
00
01
10
11
11
00
10
01
10
00
11
10
01
01
00
00
00
10
10
10
01
10
00
10
00
10
00
00
10
11
10
10
01
10
10
10
00
01
01
01
00
00
11
01
00
10
01
10
10
00
10
00
00
10
10
01
10
00
01
11
00
11
10
00
01
00
00
10
10
11
10
00
00
10
11
10
00
00
11
10
11
00
11
00
00
10
00
10
10
11
01
00
10
00
00
00
10
10
10
11
11
10
11
00
10
01
10
10
00
10
01
01
10
10
10
01
01
00
00
10
00
01
00
00
11
10
11
00
10
10
00
00
11
00
00
10
01
11
11
00
01
00
01
10
01
01
11
11
01
00
10
10
10
00
00
10
11
10
01
00
10
10
01
11
01
01
01
10
00
11
00
00
10
10
00
10
10
11
10
01
00
00
11
11
10
10
00
00
10
11
00
10
10
00
10
00
10
10
00
01
11
10
00
00
10
00
00
01
00
00
10
11
11
01
10
10
11
10
11
00
00
10
01
00
01
11
10
10
01
00
11
00
00
00
10
10
00
11
10
00
00
10
00
11
11
00
11
01
10
10
10
01
00
11
10
10
01
00
00
11
01
10
10
10
00
00
00
00
10
11
11
00
00
01
10
01
01
01
01
10
01
10
00
01
10
00
00
10
10
10
11
00
10
00
01
10
10
10
10
00
11
10
11
10
01
00
00
00
00
11
10
11
00
11
00
11
00
11
10
01
10
11
11
01
01
11
11
01
10
00
01
01
11
10
11
10
10
10
00
11
10
11
00
10
11
01
11
01
00
10
10
10
10
00
00
10
11
00
10
00
01
10
10
00
10
00
00
11
00
10
11
00
00
10
01
00
00
01
10
00
10
11
00
00
10
11
11
01
10
10
00
00
10
10
10
01
01
00
11
01
10
01
10
00
00
00
00
00
10
11
10
11
10
10
10
00
00
11
11
01
00
10
00
00
10
01
11
10
01
00
10
00
10
10
10
00
00
10
10
00
00
10
10
00
10
10
01
00
00
10
00
00
10
00
10
00
00
01
00
11
10
01
01
11
11
00
01
01
10
00
11
10
01
01
11
01
01
00
10
10
01
11
10
00
01
10
10
00
11
10
00
10
01
10
00
00
11
00
10
10
10
10
00
10
00
00
00
00
01
11
11
00
01
00
00
00
10
10
10
11
00
11
10
01
00
01
10
00
00
00
11
10
10
00
01
00
00
10
10
00
00
10
00
01
11
11
10
01
00
11
00
11
00
10
10
11
01
00
10
10
10
10
10
00
00
00
10
10
01
11
10
10
00
00
00
00
10
11
01
01
11
00
01
01
10
01
10
10
00
00
00
01
11
11
11
00
11
10
11
00
00
00
11
10
10
11
00
00
10
01
10
00
00
00
10
01
10
10
00
10
00
10
01
01
00
10
01
01
00
00
10
10
00
00
11
11
11
00
11
00
00
00
01
00
11
10
10
00
11
00
01
10
11
01
10
00
10
00
00
11
11
01
11
11
00
00
11
11
00
11
11
00
00
00
11
11
11
00
00
00
00
11
11
10
11
11
00
00
10
01
11
00
01
00
00
11
10
00
11
10
01
10
11
11
00
00
10
10
00
01
11
10
00
01
00
10
10
11
11
01
11
00
11
00
01
11
10
10
00
00
10
10
01
01
00
00
01
10
00
00
10
11
01
00
11
11
01
11
00
00
00
01
10
10
11
00
11
10
00
01
00
10
10
01
00
00
01
10
10
00
10
11
00
11
00
00
11
00
00
10
10
01
00
11
01
00
11
00
00
00
00
10
10
01
00
10
00
10
00
00
10
10
00
01
00
10
10
01
00
10
10
10
00
00
00
00
11
00
00
10
11
00
11
00
01
10
10
10
00
00
10
00
01
00
10
10
00
00
00
01
01
10
00
10
00
00
00
10
01
00
11
11
00
10
11
10
10
01
00
10
01
10
11
10
00
00
00
11
10
10
01
00
11
11
01
10
00
00
10
11
00
00
10
10
00
10
01
10
11
10
00
10
00
00
01
10
10
01
10
00
00
00
11
01
00
00
00
10
10
10
10
00
10
10
00
10
10
00
11
10
10
11
10
11
00
10
10
01
01
10
10
10
10
11
01
00
10
01
00
10
11
00
00
11
10
10
01
01
10
10
00
01
10
10
01
10
00
10
00
00
10
00
00
10
01
10
11
11
00
10
00
00
11
11
00
00
11
10
10
01
00
10
10
10
11
11
01
00
11
00
10
01
11
00
00
10
10
10
00
10
00
11
00
10
11
10
10
00
10
10
10
10
00
10
11
00
00
11
10
11
10
00
10
10
10
01
01
10
01
11
11
10
10
00
01
10
10
10
00
00
00
10
10
11
11
10
00
00
00
00
11
00
00
11
00
10
01
01
11
10
11
10
01
00
10
10
00
00
10
00
00
10
00
00
10
00
10
01
00
00
10
00
11
10
00
00
10
00
00
10
01
00
01
10
00
00
00
11
11
01
10
00
01
00
01
00
10
11
00
11
10
10
00
11
10
10
00
01
00
01
10
11
11
00
10
10
10
00
00
00
10
00
11
00
00
10
10
00
01
11
01
01
01
00
00
11
00
11
01
01
10
10
11
01
11
10
01
00
00
10
11
00
00
00
00
10
10
10
11
00
00
00
01
10
00
10
10
11
00
01
00
10
10
11
00
01
10
00
10
00
00
10
11
00
11
00
00
01
01
10
00
00
00
00
10
10
10
00
00
00
10
00
11
00
01
10
00
00
01
00
10
10
00
01
10
00
11
10
10
11
00
00
10
10
00
00
10
11
01
01
00
10
01
00
10
01
01
10
01
10
00
01
10
11
10
11
10
11
11
01
00
01
00
10
00
00
00
00
11
10
00
10
10
01
00
10
10
00
00
10
10
00
00
00
01
10
01
11
10
11
11
10
00
10
10
00
00
11
11
01
00
00
00
10
11
00
00
00
01
11
10
10
11
10
01
01
10
10
00
10
10
00
01
10
10
11
10
10
01
10
10
10
10
00
01
10
00
11
01
10
10
10
00
10
10
11
10
00
10
00
00
10
10
10
10
01
00
10
01
00
00
10
10
01
01
10
11
11
01
10
01
10
11
10
00
10
00
00
01
00
10
11
10
11
10
00
01
00
10
01
10
10
00
00
10
10
10
00
00
00
11
00
00
00
11
10
01
00
11
11
10
01
01
01
01
11
10
00
11
00
01
10
10
10
10
10
01
00
11
00
01
00
01
10
11
11
00
10
10
01
10
10
11
00
00
10
10
00
01
10
00
10
11
11
11
11
10
01
00
10
10
00
00
00
00
11
01
00
10
00
11
10
00
01
00
10
11
00
11
11
00
01
01
01
01
00
11
10
01
00
00
11
11
10
00
10
01
01
11
10
00
00
11
11
10
00
01
10
00
10
10
00
01
00
10
01
00
10
00
00
11
00
10
01
11
10
11
01
00
10
00
10
10
11
10
11
00
01
11
00
11
01
00
10
11
00
00
10
10
01
00
11
10
01
00
00
01
10
11
00
10
00
11
10
00
01
10
10
00
01
01
11
10
01
10
01
01
10
11
01
10
11
11
01
00
01
01
00
10
10
10
01
01
10
11
00
10
11
00
01
00
01
10
10
00
10
01
10
11
00
00
11
10
01
11
01
01
10
11
00
00
00
10
10
10
10
00
00
01
00
01
11
00
00
10
10
10
00
00
00
00
00
00
11
10
00
00
00
00
00
10
11
01
01
01
10
11
00
00
10
00
01
10
10
10
10
00
10
10
00
00
10
01
10
00
10
00
00
00
00
01
10
00
01
11
10
00
01
11
10
10
00
01
11
00
11
00
01
10
10
00
00
10
00
10
10
00
01
11
10
11
00
00
11
00
01
00
10
10
01
00
10
01
10
10
10
00
00
10
10
00
10
10
10
11
11
01
00
00
11
10
10
11
11
00
00
01
00
10
11
01
00
01
00
10
00
00
00
00
01
10
10
01
11
11
01
10
01
00
10
00
00
10
11
10
11
00
10
10
00
00
10
01
00
10
10
00
00
01
00
00
00
00
10
00
01
01
10
10
00
01
00
10
01
11
00
00
10
11
10
11
01
01
11
01
10
11
11
01
10
00
10
00
00
10
00
00
10
10
00
00
01
10
10
00
10
10
00
01
01
11
10
00
10
00
00
10
10
00
00
10
00
00
10
10
00
10
01
00
00
10
01
00
00
11
10
01
00
11
10
01
11
00
00
10
01
00
11
10
10
10
00
01
00
00
10
10
11
00
11
10
10
01
00
10
10
01
10
10
01
10
11
10
00
01
10
11
00
10
10
10
00
00
10
11
10
00
01
00
00
01
11
10
00
11
01
00
10
10
11
00
10
01
10
10
00
00
11
10
00
10
01
10
10
10
11
11
00
11
00
00
10
01
11
00
01
00
10
01
00
10
00
00
10
00
11
00
00
00
11
10
11
00
11
10
00
11
00
00
10
11
00
01
01
11
10
01
11
00
00
10
11
00
00
10
10
10
01
11
00
11
10
00
00
00
10
11
00
00
11
10
10
00
01
10
10
10
01
01
10
01
10
01
00
01
10
10
01
00
11
00
00
11
00
10
01
01
10
00
00
10
01
10
00
00
10
11
10
10
10
00
00
10
00
10
11
00
00
10
10
00
10
10
00
00
01
11
10
10
00
00
01
01
00
01
00
10
00
01
00
10
10
00
11
00
00
10
00
00
00
00
10
00
00
11
01
00
00
00
10
00
10
10
11
11
10
01
11
00
10
11
00
00
00
10
11
00
00
00
00
11
10
11
10
10
01
10
11
11
10
01
00
10
10
00
10
01
00
00
00
10
10
00
00
10
11
10
00
10
01
00
10
01
01
01
00
01
10
11
01
00
10
10
00
00
11
10
01
10
11
10
00
10
10
10
01
10
11
10
00
00
10
00
00
01
00
11
11
00
00
00
10
11
00
01
11
10
00
10
00
01
00
11
10
10
00
01
01
10
00
00
10
10
10
00
00
01
10
10
10
00
00
00
10
10
00
10
00
00
10
01
00
10
01
01
01
11
10
10
10
00
10
01
01
10
00
01
11
11
10
00
00
10
11
11
10
00
00
10
11
10
00
00
10
10
10
11
00
00
10
10
00
00
11
00
10
00
01
00
10
01
11
00
10
11
10
11
00
10
10
00
00
10
01
00
11
00
01
00
11
00
10
00
01
01
10
00
10
11
00
00
10
10
00
00
11
00
00
01
01
01
11
10
00
00
01
01
11
10
00
01
00
01
11
00
00
11
10
10
00
00
11
01
00
10
10
00
11
00
00
10
00
00
10
01
00
11
00
01
10
00
00
01
00
10
10
01
00
01
00
10
10
00
10
11
00
10
10
10
10
10
10
00
00
11
10
00
01
10
00
00
11
11
01
01
00
11
10
10
00
00
10
10
10
00
10
10
00
10
10
10
00
10
11
10
01
00
10
01
00
01
00
10
10
10
01
00
10
00
01
00
00
10
00
10
11
00
10
10
00
11
10
00
01
00
11
00
10
10
00
10
10
10
00
11
01
10
01
10
11
00
11
11
01
10
10
01
00
10
10
10
10
11
10
00
10
10
10
01
00
01
00
00
10
10
00
00
10
10
10
00
10
10
10
00
10
10
11
00
00
10
10
11
11
10
00
10
10
01
00
00
11
11
11
11
01
11
10
00
11
00
01
10
11
11
01
01
00
10
11
10
10
01
10
10
00
00
01
11
10
11
01
00
00
11
11
00
10
00
00
11
10
11
00
00
01
01
10
11
00
10
10
01
11
01
01
11
10
00
10
00
00
11
11
01
00
10
00
00
01
00
11
00
10
01
10
10
01
00
10
10
10
10
00
00
11
01
01
00
10
00
10
10
01
01
10
10
01
10
01
00
10
11
01
11
01
10
00
01
10
10
11
00
10
11
00
01
01
10
00
11
00
11
10
11
11
10
10
00
01
00
10
10
11
00
10
00
00
10
11
00
01
00
10
00
10
00
00
10
11
10
00
01
00
00
10
10
00
00
01
10
10
00
11
01
00
11
10
10
10
00
00
00
10
00
10
00
11
10
01
10
01
10
10
01
00
00
11
10
01
00
00
10
00
01
00
00
11
01
00
01
11
00
00
10
10
01
01
10
00
00
01
00
11
11
10
11
10
00
00
11
11
11
11
00
10
11
11
10
00
01
10
00
01
00
11
10
00
00
10
10
00
11
00
00
10
11
10
11
01
11
00
01
00
00
10
10
10
01
01
10
00
00
01
01
10
10
10
10
00
00
10
11
00
00
00
00
10
11
10
01
01
10
00
00
01
10
11
00
10
10
00
01
10
10
00
01
00
00
11
11
00
00
10
10
01
01
11
01
00
11
10
10
11
01
00
11
10
00
10
10
00
10
10
00
10
00
00
00
11
10
01
10
00
11
10
01
00
11
11
01
00
00
00
11
10
00
10
11
10
10
10
10
10
00
01
00
00
10
00
11
11
10
11
00
00
10
10
11
00
10
00
10
10
01
10
00
10
01
01
00
01
00
00
10
11
00
10
00
00
00
00
01
00
00
10
00
00
11
10
11
00
10
00
01
10
01
11
10
11
10
10
00
00
10
10
11
01
11
10
00
00
10
01
00
00
10
01
00
01
11
00
11
00
10
00
00
11
10
01
10
11
00
11
10
10
00
00
10
11
01
10
10
01
00
10
11
00
11
00
10
00
11
10
00
00
10
10
11
00
11
00
00
10
01
10
11
11
00
10
10
00
00
01
11
00
01
10
10
00
11
10
00
00
11
00
01
11
10
11
01
11
01
00
10
10
10
00
10
00
00
10
10
00
11
01
01
00
01
11
10
10
00
00
10
11
00
11
01
10
10
00
11
00
00
10
10
01
00
10
11
11
00
11
01
11
01
01
10
00
10
10
00
00
11
10
10
01
10
00
10
00
10
10
01
00
00
00
10
11
10
00
01
11
10
10
00
00
10
01
10
11
00
00
00
10
11
10
01
10
01
00
01
10
01
00
01
00
11
01
11
10
00
10
00
00
10
00
00
10
00
11
01
01
00
01
11
00
10
10
01
10
00
10
00
00
00
00
10
11
01
00
10
11
01
10
00
10
11
10
10
01
10
01
11
01
01
00
01
01
11
01
00
11
10
00
00
10
10
01
00
10
10
00
10
10
00
00
11
00
10
10
10
11
00
10
01
10
10
00
10
01
00
00
10
11
01
11
00
01
11
11
10
11
11
11
11
00
01
10
00
00
00
11
10
01
00
01
00
00
11
10
11
10
11
00
00
00
00
10
10
00
11
10
00
11
11
00
10
10
00
01
11
00
10
11
00
11
10
10
11
10
00
10
10
00
01
00
01
00
00
10
01
00
10
00
00
10
00
10
00
00
10
00
10
10
10
10
00
00
00
01
01
10
10
11
11
00
01
00
10
00
11
11
00
11
10
00
11
10
01
10
00
01
10
10
10
00
01
01
10
00
00
11
10
00
00
00
00
11
11
00
00
10
01
00
01
11
11
00
10
10
11
10
00
01
10
00
01
11
00
11
00
10
01
10
11
00
10
00
00
10
01
00
10
10
01
00
10
10
01
00
00
00
10
11
11
10
10
11
00
00
01
11
10
00
00
00
10
10
01
00
11
01
10
00
11
10
11
10
00
00
00
10
11
00
01
10
01
11
11
00
10
00
01
00
11
00
00
10
00
10
10
11
01
10
00
01
10
10
11
00
01
00
11
10
00
01
10
00
11
00
00
00
11
01
11
10
00
10
11
01
01
00
10
00
00
00
00
00
10
10
10
10
01
00
10
00
10
00
00
00
00
10
10
01
11
10
10
00
00
11
10
10
10
11
00
00
10
10
00
00
01
01
00
10
01
01
11
00
10
11
00
10
00
00
00
11
00
10
00
10
00
00
01
00
00
11
10
00
11
10
11
11
00
00
00
10
10
00
10
10
00
01
11
10
10
01
11
00
10
10
00
00
11
00
11
00
00
10
00
00
01
10
10
11
00
00
10
11
00
01
00
00
10
10
00
01
10
10
10
00
11
11
10
01
10
00
11
01
10
10
10
10
10
00
00
00
10
11
10
11
10
10
10
11
11
10
00
01
10
11
11
01
00
10
10
11
10
00
11
01
10
00
01
10
10
01
10
01
10
10
10
00
00
00
00
10
00
00
10
01
10
00
00
10
11
11
10
00
10
10
00
00
10
00
01
10
11
10
00
01
10
11
00
11
10
00
00
10
10
00
10
00
11
10
01
00
00
11
00
10
10
01
01
01
11
00
00
01
01
10
11
10
00
01
00
11
01
01
01
01
00
10
10
00
10
10
00
00
10
10
10
01
11
00
00
00
00
00
00
10
10
00
00
00
10
10
10
01
01
00
01
10
10
01
10
10
00
00
11
00
10
11
10
01
00
10
11
01
01
00
00
10
10
10
00
00
10
11
00
10
00
11
01
01
10
00
10
01
00
10
00
01
10
11
10
10
10
00
11
00
00
10
00
11
10
01
00
00
10
00
00
01
00
11
10
10
11
11
00
00
11
11
10
10
00
01
10
11
00
11
10
00
00
00
10
10
10
00
10
10
10
00
10
01
10
10
11
01
11
00
00
00
00
01
00
10
00
00
10
10
00
11
01
01
00
10
10
00
10
00
10
10
10
01
11
11
00
00
10
00
11
11
00
00
11
01
00
00
10
00
01
00
10
10
11
00
00
10
01
00
01
00
10
01
00
11
11
00
01
10
10
01
00
10
11
00
01
11
00
10
00
11
00
00
10
00
00
01
00
10
01
10
01
11
10
10
11
00
10
10
00
00
10
01
11
01
00
10
10
10
01
00
11
10
00
10
11
10
00
00
10
00
01
00
00
10
11
11
01
10
00
00
10
00
10
00
00
11
01
10
01
11
00
00
10
11
00
10
00
00
10
00
11
10
10
00
00
11
10
00
00
00
00
10
00
10
11
01
01
10
11
11
00
01
00
11
11
00
10
01
00
11
00
01
10
00
11
00
01
11
11
00
10
00
10
11
01
10
10
00
10
10
01
00
00
01
10
00
11
10
10
10
00
00
00
10
10
00
10
00
10
10
10
11
01
10
00
10
00
01
10
10
00
10
00
01
10
11
10
00
11
01
01
10
00
00
01
11
10
00
10
00
00
10
00
01
11
01
00
10
10
00
11
10
00
00
01
01
10
10
11
10
00
01
00
11
10
10
00
10
01
00
11
11
00
00
10
00
10
11
01
11
00
10
00
00
10
00
00
10
10
10
01
00
00
10
11
10
01
11
01
10
11
11
11
01
01
00
10
01
10
00
00
10
10
10
11
10
00
11
00
10
01
00
11
00
01
10
11
00
11
10
11
11
00
00
10
00
00
00
10
10
10
00
00
01
00
10
01
11
01
10
01
10
01
00
00
10
10
00
00
10
01
00
11
11
00
11
10
11
00
10
10
01
01
11
00
01
10
10
00
00
11
00
00
10
11
00
10
00
00
01
00
01
10
01
10
10
00
00
10
01
00
11
10
00
01
00
00
11
10
11
00
00
00
00
10
10
11
00
01
01
01
00
00
10
10
00
11
00
00
10
10
11
00
10
11
01
11
00
01
01
11
00
00
01
01
00
10
10
11
00
00
10
11
10
00
00
10
00
01
00
00
11
00
11
10
00
11
00
00
00
11
00
00
10
10
10
11
10
00
01
11
11
00
11
10
11
00
01
01
10
10
00
00
10
10
00
11
10
11
10
00
10
00
00
10
11
01
01
00
01
10
01
11
10
01
10
11
00
10
10
01
01
11
10
10
01
11
01
00
10
10
10
10
01
01
10
10
00
11
00
00
01
11
10
11
10
01
10
11
00
10
00
00
11
00
10
10
10
10
00
10
00
10
10
00
11
00
10
00
10
10
00
00
00
10
01
00
01
11
11
11
11
10
01
00
10
00
01
10
10
01
00
10
10
10
01
01
01
00
10
10
10
00
00
10
10
10
10
11
10
10
11
01
00
11
00
10
01
10
00
00
11
11
10
01
00
11
10
10
00
11
00
10
00
00
11
11
00
00
10
10
00
01
10
11
00
10
11
11
10
00
00
10
11
00
11
00
00
10
11
10
00
00
10
00
10
10
01
10
00
00
00
11
01
10
11
01
10
00
10
11
01
10
01
10
00
10
01
00
10
11
00
01
10
00
10
00
11
00
00
10
00
01
00
01
10
01
00
10
01
11
00
01
10
11
00
00
01
00
10
00
01
10
00
00
10
01
10
10
00
00
00
11
00
01
10
01
01
10
01
10
00
10
10
00
11
00
01
00
11
10
00
11
10
10
01
10
10
00
10
00
01
01
01
10
11
11
10
10
00
01
01
11
01
11
00
10
11
00
00
11
10
11
01
01
01
10
11
10
00
00
00
10
11
00
00
10
00
10
01
10
11
00
01
00
11
00
00
00
10
11
01
10
10
11
00
00
11
00
10
10
00
00
00
10
01
10
10
01
00
10
00
10
10
10
00
00
10
01
00
01
10
00
10
10
10
10
10
00
00
01
10
00
11
00
01
01
01
10
01
11
10
01
00
10
10
10
00
10
01
01
01
10
00
01
00
01
00
10
10
11
11
01
00
11
00
11
01
01
01
10
01
00
10
01
00
10
11
01
00
01
10
10
00
11
10
00
10
10
00
01
00
00
10
00
00
10
00
00
10
00
01
00
11
10
10
11
00
10
00
01
10
00
00
10
10
01
00
10
01
10
10
11
10
00
00
01
00
00
00
00
10
11
10
00
00
11
10
00
11
10
11
01
11
00
00
11
01
00
10
10
10
01
01
01
00
01
11
01
01
00
10
10
00
00
00
11
10
00
11
10
01
01
10
00
10
00
10
10
01
10
10
00
00
10
10
10
00
00
01
00
11
00
01
10
11
00
00
10
11
00
10
11
01
00
00
10
00
11
01
10
10
01
11
00
10
11
00
01
10
00
10
01
01
00
01
10
00
10
00
00
00
11
10
00
10
01
01
10
11
01
10
11
10
01
00
11
10
11
00
00
01
10
00
10
01
00
10
01
00
00
10
01
00
11
00
01
01
10
10
10
11
00
10
10
10
01
00
10
00
00
10
10
00
00
10
01
01
10
00
10
01
00
01
01
00
10
10
00
10
11
00
00
11
00
00
00
10
10
10
01
10
00
00
01
00
11
10
00
11
00
01
10
01
00
01
11
10
10
00
10
11
00
01
11
10
10
00
10
11
11
00
10
10
10
01
11
01
00
11
10
00
01
01
10
10
00
10
10
01
01
10
01
00
10
10
11
11
00
00
10
00
00
10
10
10
11
01
00
10
01
00
11
00
00
10
00
00
10
10
00
10
10
00
11
11
10
10
00
01
00
00
01
11
11
01
11
01
00
00
10
10
01
01
10
10
00
01
10
11
10
10
10
00
10
01
10
11
10
01
00
00
11
10
11
01
11
01
00
01
10
10
10
01
10
11
00
10
10
00
00
00
11
01
01
10
10
10
01
00
11
01
10
10
10
01
00
10
01
10
10
10
10
00
10
00
00
10
01
00
01
01
00
00
00
01
00
10
10
10
00
00
00
11
10
00
10
10
10
00
10
00
00
01
00
10
11
11
10
10
00
10
00
00
10
11
10
00
00
00
10
01
01
01
00
00
01
10
01
11
00
10
11
10
10
00
10
01
10
01
01
00
00
10
10
10
00
01
10
10
10
10
00
01
10
01
00
00
10
00
11
10
01
01
10
10
11
10
00
10
11
00
01
10
10
11
11
10
01
00
01
10
11
00
00
00
01
11
10
11
00
10
10
11
10
10
00
00
10
01
10
01
11
10
10
01
00
10
11
00
00
11
00
00
00
10
00
11
10
10
10
00
00
10
10
00
00
10
10
11
11
11
00
10
11
10
10
00
10
00
00
00
10
00
10
10
00
01
10
11
10
00
00
11
10
00
00
10
10
10
10
01
01
10
00
00
00
11
00
00
01
10
10
00
00
01
10
01
01
11
10
10
11
00
01
10
11
01
01
01
11
10
10
11
01
10
11
00
00
00
10
10
01
10
00
00
00
01
01
00
10
10
01
00
10
00
00
10
00
10
01
10
10
10
10
00
00
10
11
11
00
10
11
00
01
00
11
00
00
10
00
10
10
10
11
01
00
11
11
00
01
10
01
00
10
11
10
00
01
10
11
01
10
10
10
00
10
01
00
10
10
01
00
00
11
11
11
01
00
01
10
11
10
10
10
00
10
00
10
10
00
10
00
11
01
10
00
10
10
00
11
00
11
11
11
01
11
01
00
00
00
01
01
11
00
00
11
01
10
00
10
10
11
11
01
01
00
11
00
11
00
10
10
00
00
00
10
10
00
10
11
00
01
00
00
10
11
11
00
00
10
00
10
01
11
10
01
10
11
10
10
01
00
10
10
10
00
00
11
00
11
10
00
01
10
10
00
11
10
11
10
01
00
01
01
10
00
00
10
10
10
01
11
10
00
01
01
10
10
00
01
10
11
10
11
01
00
11
10
11
10
01
00
11
00
10
10
11
10
01
10
10
01
00
00
10
10
00
01
10
10
11
00
01
10
01
00
10
00
01
11
10
00
00
10
11
10
11
11
11
01
00
00
00
10
10
00
00
10
10
00
00
11
00
10
10
11
00
00
10
00
00
11
10
00
00
10
00
00
01
10
01
01
00
00
10
01
00
00
11
00
01
10
01
10
11
00
00
10
11
10
00
11
00
11
00
00
00
00
10
01
10
10
00
10
10
11
11
11
10
01
11
11
00
00
11
00
01
00
11
10
10
00
00
10
00
10
10
00
00
01
10
01
01
10
10
11
01
00
10
10
01
10
10
10
00
10
11
10
11
10
00
11
00
00
11
00
01
00
10
00
10
11
10
01
00
00
00
10
11
00
00
10
10
01
00
01
00
11
00
00
01
11
10
00
00
11
10
10
11
00
01
00
00
00
10
10
10
00
10
00
11
11
01
00
11
01
10
00
01
01
11
10
00
11
11
01
11
11
00
01
10
10
01
00
10
10
01
00
01
10
10
00
00
10
01
01
11
00
11
00
10
00
10
11
00
11
10
00
10
10
00
11
10
10
00
10
01
11
10
00
11
10
10
10
00
01
01
00
10
10
10
10
10
10
00
00
10
00
10
10
01
00
11
00
10
01
10
11
10
00
00
10
01
00
00
11
00
11
00
00
00
10
10
10
10
00
01
00
00
10
00
10
01
00
00
10
10
01
00
11
11
00
10
00
00
11
00
01
10
00
00
00
11
00
11
10
10
00
01
01
01
10
00
11
10
10
00
01
10
01
10
10
11
01
10
11
10
00
10
00
00
11
10
00
00
10
10
00
00
00
11
01
10
00
01
10
10
00
01
10
10
00
10
10
11
00
00
10
01
00
00
11
11
00
11
00
11
00
00
11
10
11
01
11
01
00
00
00
00
01
10
11
01
10
00
00
00
11
11
01
10
10
01
01
11
00
01
10
00
00
00
10
10
01
00
10
10
10
11
10
00
10
10
00
10
00
01
10
00
10
11
00
10
10
00
00
11
10
01
10
00
00
10
00
01
00
01
00
10
10
10
11
01
10
00
11
10
01
11
00
00
00
11
01
11
10
00
00
10
00
00
00
10
10
01
01
11
11
11
10
10
01
00
10
11
01
11
10
10
10
00
10
11
00
10
00
00
10
00
11
10
01
01
00
10
10
11
01
00
00
11
00
01
00
10
10
11
00
01
01
00
10
11
00
00
00
10
00
00
01
00
10
00
11
10
10
10
01
10
00
00
11
11
10
01
10
01
10
11
01
00
10
11
11
11
10
10
00
11
10
10
00
00
00
00
00
10
11
11
00
10
10
10
00
10
10
10
00
01
10
00
11
00
10
01
10
11
01
10
10
11
01
00
10
10
00
00
10
00
00
10
11
10
11
01
11
00
01
10
10
01
00
10
10
00
00
10
00
00
10
10
10
10
01
10
00
01
00
00
00
00
11
11
00
10
11
00
10
10
01
10
10
11
00
11
11
00
00
10
10
00
00
10
11
00
01
01
10
11
11
11
10
11
10
01
01
00
00
00
00
10
10
10
10
10
10
01
00
00
10
11
11
00
00
00
00
11
10
01
10
00
01
11
00
10
00
00
01
10
10
11
01
00
10
10
00
10
10
11
11
10
11
01
10
11
11
11
00
00
11
10
00
00
11
11
01
00
11
10
01
11
00
11
11
00
00
10
01
01
10
10
10
01
00
01
00
10
11
11
11
00
00
10
00
00
10
10
00
11
11
00
00
11
11
11
11
01
00
00
00
10
00
10
10
01
10
00
00
01
00
10
10
10
11
10
10
10
00
10
10
10
01
00
10
11
11
10
01
00
10
00
00
10
00
00
10
10
00
11
11
11
11
00
01
00
10
11
01
01
11
00
11
10
11
00
00
00
10
10
00
00
10
00
11
01
01
10
10
10
00
10
01
10
10
10
00
10
10
00
00
00
10
01
01
00
11
11
10
11
11
11
00
01
11
10
10
00
01
10
01
10
10
10
10
00
01
01
10
10
10
00
10
01
10
11
10
00
10
00
00
10
00
00
11
10
01
10
11
11
10
11
01
00
00
00
11
11
11
10
01
10
01
00
11
00
10
00
00
11
10
01
11
00
00
10
11
00
00
10
11
01
00
10
10
00
01
10
11
00
00
11
00
00
00
11
10
01
01
10
00
01
10
11
00
11
11
00
00
00
00
00
11
11
00
11
00
01
00
01
10
11
10
01
00
10
01
01
11
11
01
00
00
11
10
10
00
00
10
10
01
00
11
10
10
10
10
10
01
00
10
10
01
00
11
00
10
10
00
10
00
01
10
10
10
01
00
00
10
10
11
00
10
00
10
01
00
00
00
11
00
01
10
01
00
10
11
11
11
01
00
10
10
01
10
10
01
10
11
11
11
11
11
01
00
11
10
00
10
10
10
00
01
10
00
10
00
00
00
10
10
00
00
10
00
00
10
00
11
10
00
11
10
10
00
00
00
01
00
10
10
00
01
11
11
00
10
11
00
10
00
10
01
11
11
10
01
00
00
10
11
00
00
11
10
10
01
10
01
10
00
10
00
00
01
01
10
01
01
11
10
11
11
10
00
01
11
00
01
00
10
00
10
00
10
00
00
10
11
10
00
00
00
00
00
10
01
00
11
11
11
11
01
10
10
10
00
11
11
00
01
01
00
00
00
11
10
01
00
10
01
00
00
10
10
00
00
10
10
01
10
10
10
00
10
11
00
00
11
11
01
01
00
11
10
00
01
11
01
01
10
11
00
00
00
00
10
10
10
11
00
00
10
11
10
00
00
11
00
11
11
01
00
00
00
10
01
00
11
10
10
10
10
00
00
01
10
11
00
10
01
01
00
00
01
10
00
10
10
00
10
11
00
10
10
00
11
10
00
00
00
00
00
10
10
10
11
01
00
11
10
11
00
00
00
01
10
10
00
10
11
00
11
01
11
01
10
11
10
01
01
10
10
01
11
10
00
01
00
10
10
01
11
01
10
00
11
10
10
11
00
01
10
11
10
11
00
00
00
00
00
10
11
00
10
10
00
00
01
01
10
01
00
01
01
01
00
11
11
00
10
00
10
10
10
00
00
10
11
00
10
10
10
10
11
10
10
00
11
10
10
00
00
01
11
10
10
11
10
10
00
00
10
00
00
00
00
10
00
10
00
10
10
00
00
10
10
10
10
00
00
00
00
10
10
10
10
01
00
00
11
01
00
11
10
01
10
11
10
10
01
00
10
10
01
00
00
11
10
00
10
01
00
00
01
10
11
10
10
00
10
00
01
11
01
00
11
10
10
00
11
10
11
10
10
00
10
00
11
00
00
10
10
11
01
00
10
00
10
10
00
01
00
10
10
00
10
01
00
11
00
10
10
01
01
01
10
10
10
10
01
00
00
00
10
00
01
11
01
10
00
11
00
10
10
00
00
10
01
01
10
11
00
11
10
01
11
00
11
10
10
00
10
11
10
10
01
11
11
10
10
00
10
00
00
10
01
00
10
00
11
10
10
00
00
10
10
01
10
00
10
00
00
11
00
11
00
01
10
00
10
01
10
00
11
10
11
10
01
00
00
00
10
10
00
10
10
01
00
01
01
01
10
00
00
01
00
00
11
01
01
10
00
10
10
11
11
01
01
01
10
10
10
00
00
00
10
11
01
10
00
01
10
10
10
10
01
01
11
10
11
10
10
11
10
00
10
11
00
00
11
10
00
01
11
01
10
00
00
10
10
00
10
10
10
00
00
11
00
10
10
10
10
01
00
00
10
00
10
11
00
00
00
11
10
00
11
10
00
01
00
00
11
10
10
10
10
00
00
10
00
00
10
01
11
10
01
10
00
11
01
01
10
11
00
00
10
10
00
00
00
00
00
10
10
11
00
00
00
01
10
10
10
10
01
00
10
00
00
11
10
10
10
10
00
00
00
11
10
00
01
00
10
10
00
00
00
00
10
00
00
00
01
00
10
11
00
10
00
00
01
01
10
00
01
11
00
10
10
00
10
00
00
10
01
01
10
01
10
00
01
10
00
10
00
01
00
01
01
11
00
00
10
10
00
00
00
11
11
00
11
11
01
11
00
00
10
01
00
11
10
10
01
11
00
10
10
00
10
10
01
10
10
01
01
00
01
10
00
01
00
10
10
01
01
01
10
11
10
01
10
11
10
00
00
01
00
10
10
00
01
10
10
10
00
00
10
11
10
00
01
00
10
01
11
00
01
01
10
01
10
10
10
00
00
00
10
11
00
11
00
01
11
10
10
00
11
10
11
00
00
10
10
10
00
10
10
01
00
11
10
00
11
00
01
00
00
11
11
00
00
00
11
10
00
00
10
11
11
00
01
10
00
10
01
01
01
01
11
11
01
00
00
11
10
10
00
01
11
01
00
00
11
11
10
10
00
00
10
01
10
00
00
10
01
00
10
10
10
10
10
10
01
11
10
11
01
10
00
01
11
00
11
10
00
10
00
00
10
00
00
10
10
10
10
10
10
00
11
10
00
10
10
01
00
01
10
00
00
11
10
10
11
00
10
10
00
00
01
00
11
01
00
01
11
00
00
00
00
10
00
00
10
11
11
10
00
10
01
10
00
00
00
11
10
00
01
10
10
00
01
11
11
01
11
01
11
11
00
00
10
10
00
00
11
10
11
00
01
11
01
11
11
00
00
00
10
10
00
00
10
00
11
00
00
10
01
11
00
11
11
11
11
01
10
00
00
10
11
01
01
01
01
01
00
01
10
00
01
00
00
10
00
01
00
11
10
01
10
10
10
00
11
10
00
01
10
11
10
01
00
01
10
10
10
00
01
10
00
01
00
00
00
00
10
10
10
00
10
10
01
10
00
10
10
00
11
10
01
10
11
00
01
01
10
10
10
11
00
00
10
10
01
00
00
01
10
11
00
01
00
11
00
01
00
11
01
00
10
11
01
00
00
11
10
10
00
10
10
11
00
10
10
00
01
00
01
00
00
10
01
00
10
11
00
11
00
10
10
00
11
00
01
10
00
10
00
00
00
00
10
10
11
10
00
11
10
10
10
10
00
11
11
01
00
10
01
11
10
01
10
11
11
00
10
00
10
10
10
10
00
00
00
11
00
11
10
10
10
10
00
01
10
00
00
10
01
10
10
00
10
11
00
00
10
10
10
10
01
01
10
10
01
11
00
01
10
00
11
10
00
00
01
01
10
10
10
00
00
01
11
11
00
10
00
10
01
01
10
11
10
01
00
00
00
00
10
10
10
00
01
10
00
11
10
11
10
01
10
11
10
00
00
10
10
01
00
11
10
11
00
00
00
00
10
11
11
00
11
11
10
11
11
00
00
11
00
10
11
10
00
01
10
00
11
10
01
00
10
01
11
01
10
00
01
11
11
10
10
11
10
00
00
00
10
10
00
00
10
11
11
10
00
00
10
01
01
10
11
10
11
10
11
10
10
10
00
10
10
00
00
10
10
01
00
10
10
00
00
10
11
11
00
11
11
00
01
10
10
10
00
00
00
00
10
00
10
00
00
01
10
01
00
00
00
11
00
11
01
01
11
10
10
01
01
10
10
01
00
00
01
11
00
11
00
10
00
11
11
01
00
10
11
00
01
10
10
01
00
10
10
01
00
00
11
00
10
11
10
10
00
00
10
00
00
10
11
00
00
11
00
10
11
11
00
01
00
00
00
00
11
00
10
10
00
00
00
11
10
01
00
10
11
00
01
10
01
01
10
10
00
11
11
00
00
10
00
10
00
00
10
01
01
00
10
11
00
00
00
10
01
00
00
10
11
10
00
10
01
11
11
10
10
11
00
11
01
10
10
00
11
00
00
01
10
00
00
10
10
01
00
11
10
00
00
00
11
00
10
10
11
10
00
10
11
00
00
00
01
00
10
10
10
10
01
00
00
10
00
00
01
01
11
11
10
01
01
01
11
00
10
10
00
00
10
00
00
00
11
00
01
00
10
10
00
11
11
11
00
01
00
10
11
11
00
00
01
10
00
00
11
11
01
10
10
00
01
00
00
11
10
00
10
01
11
10
10
11
01
00
01
11
00
01
00
01
10
00
01
00
01
00
11
11
10
10
00
10
10
00
10
10
00
00
00
10
00
00
00
10
10
10
01
10
10
00
11
10
00
00
10
11
10
00
00
10
11
10
10
01
10
00
00
00
01
01
11
00
01
00
00
10
11
11
01
00
10
10
00
01
00
01
11
00
00
10
00
10
10
00
00
01
11
01
10
11
00
00
01
11
10
10
00
00
01
11
10
00
11
01
00
00
01
10
01
01
11
11
11
11
11
11
00
11
00
01
10
11
00
01
10
10
10
00
01
10
01
01
00
10
00
00
10
11
00
01
00
10
10
00
11
10
11
00
11
00
00
10
11
00
11
00
00
10
11
01
00
00
11
01
11
00
00
10
10
01
10
11
10
11
10
00
00
01
11
00
10
10
10
00
00
10
00
00
10
10
10
10
00
10
11
11
01
00
00
10
10
10
00
00
11
00
00
11
00
00
11
10
10
10
00
00
10
11
00
01
10
10
00
00
00
00
00
10
00
10
00
11
10
10
11
11
10
00
01
00
10
01
10
01
11
00
01
10
00
10
00
00
01
11
10
10
00
00
01
10
10
01
00
11
11
10
00
10
10
10
01
11
10
00
01
10
10
01
10
10
01
00
00
00
11
00
00
11
10
11
01
01
10
01
10
00
10
10
00
00
00
10
11
00
10
10
11
00
00
01
00
00
10
10
00
10
10
00
10
10
00
00
00
00
10
00
01
10
10
00
01
01
01
00
00
10
10
01
00
11
11
01
10
00
00
00
00
11
10
10
10
00
11
00
00
10
11
00
11
01
01
10
00
00
01
10
11
10
01
01
10
00
10
01
00
10
00
00
10
10
10
01
00
11
11
11
00
00
00
11
01
10
11
00
10
10
00
10
10
10
00
00
11
10
01
10
01
11
00
00
00
00
11
01
00
11
10
10
01
00
11
00
00
10
00
00
10
01
00
10
00
10
00
00
00
11
11
00
11
00
10
00
10
11
00
10
00
11
00
11
00
01
10
11
10
11
00
00
00
11
01
00
10
10
00
11
11
01
10
10
00
01
10
01
10
11
10
00
01
10
10
00
00
10
11
01
00
11
10
00
00
10
01
00
11
11
10
00
00
10
00
10
10
00
01
00
01
10
10
00
10
10
10
10
00
11
00
01
10
00
00
10
00
10
10
01
00
00
10
01
01
01
00
01
10
00
01
11
10
00
11
10
01
01
11
00
00
10
10
10
01
10
10
01
00
00
00
00
10
11
00
00
10
00
10
10
01
01
01
00
10
00
10
01
10
00
00
00
01
10
11
00
01
10
10
11
00
10
10
11
01
11
00
10
00
01
00
00
11
10
00
00
00
10
10
10
00
01
00
00
11
11
00
11
10
00
00
01
10
10
00
00
10
00
10
10
01
00
10
11
00
00
11
01
00
10
10
00
00
00
00
00
00
10
10
01
10
11
11
00
10
00
11
00
00
10
00
01
00
11
10
11
00
10
10
00
11
10
10
01
11
10
00
00
10
11
10
10
00
11
10
00
01
01
01
10
10
11
11
00
00
11
11
10
01
00
00
11
01
01
11
10
01
10
10
10
10
11
00
01
10
00
00
10
10
01
00
11
11
11
10
01
00
10
00
01
10
10
01
00
00
11
10
11
00
01
00
10
10
10
11
01
00
01
10
10
10
00
00
00
10
10
11
01
10
00
00
00
11
00
10
10
00
01
00
01
10
10
10
11
01
00
10
10
00
10
10
10
10
10
00
10
10
00
10
11
11
10
01
00
00
00
00
10
10
11
01
10
00
00
11
10
00
00
00
01
10
00
10
11
10
10
00
10
10
11
11
10
00
10
01
11
11
00
01
00
11
11
00
11
10
00
11
01
00
10
11
00
00
00
11
11
00
10
01
00
00
01
10
01
01
11
11
11
11
10
10
00
00
10
00
01
11
11
01
10
01
00
10
00
01
00
10
00
01
11
10
10
11
00
00
01
11
00
00
00
10
11
11
11
10
01
01
10
10
10
00
00
00
10
00
11
00
00
10
11
00
01
00
00
10
01
10
10
01
01
11
00
10
10
10
01
00
01
10
10
10
10
01
00
10
00
10
10
01
10
10
00
01
10
10
10
00
10
01
01
00
10
10
01
00
11
11
00
11
10
10
01
11
10
00
01
11
01
01
10
10
11
01
00
00
11
11
00
11
01
00
00
00
01
01
10
10
10
01
01
00
10
10
00
00
10
11
00
10
11
00
00
10
00
10
00
01
11
00
11
01
11
00
00
10
10
00
00
10
10
00
01
11
10
11
11
11
00
00
11
00
10
11
00
10
00
00
11
10
11
00
00
10
00
11
00
10
10
00
01
10
01
10
00
00
10
10
10
10
01
00
11
00
11
11
00
10
10
00
10
00
00
00
00
10
10
01
00
00
00
10
01
01
10
11
00
10
10
01
00
10
00
00
10
11
10
01
01
10
00
00
11
11
00
01
00
11
10
01
10
10
01
00
01
11
00
00
00
10
10
00
10
10
00
10
10
00
10
11
10
00
00
11
01
10
10
01
00
11
10
10
00
00
00
11
11
01
11
10
00
01
01
10
10
00
01
10
00
10
10
11
00
11
00
00
10
00
11
00
10
10
00
00
01
10
11
00
00
10
00
10
00
00
10
01
10
10
01
10
11
00
10
00
01
10
00
10
11
10
01
01
10
01
00
00
01
10
11
00
10
01
10
00
00
00
11
00
00
00
01
11
00
00
00
11
11
11
00
10
00
11
01
00
10
11
01
00
10
10
00
10
11
10
01
00
00
00
10
00
10
01
00
11
10
11
00
10
00
00
00
10
01
00
11
01
11
10
01
10
10
01
00
11
10
01
00
00
10
10
00
11
10
01
11
00
00
01
11
11
00
10
00
11
00
10
10
00
00
10
10
00
10
00
11
11
00
01
10
10
10
10
10
01
00
11
10
10
11
01
01
00
00
10
11
00
11
01
00
01
10
11
00
00
10
00
10
10
10
00
00
01
10
00
00
10
11
01
01
11
10
00
00
10
10
00
00
10
10
11
11
00
01
00
01
00
10
01
01
10
10
10
00
10
10
00
00
10
01
10
11
10
00
10
10
11
11
00
11
00
00
10
00
10
10
10
01
10
11
00
00
00
11
10
10
11
01
01
11
00
01
10
11
01
00
10
11
00
01
10
00
00
00
00
01
10
10
10
00
00
10
11
01
10
10
10
00
11
11
00
01
00
10
11
01
00
10
01
00
01
10
10
10
10
11
00
10
01
10
01
01
10
11
11
00
11
00
11
00
01
11
00
00
00
10
01
01
10
10
00
10
10
11
10
01
10
10
01
10
10
10
00
00
00
10
10
00
01
10
01
00
10
11
11
10
01
01
01
01
10
10
10
00
00
00
10
10
10
10
00
10
00
00
00
00
01
00
10
00
00
11
11
01
00
00
01
00
11
10
00
00
11
00
11
00
00
10
11
00
10
00
00
00
11
10
10
00
10
01
10
00
01
00
10
10
00
01
00
11
10
00
10
01
11
01
10
10
00
01
10
10
00
01
00
10
10
01
10
10
01
00
10
01
10
10
11
01
10
00
00
10
11
11
01
00
00
11
10
01
10
10
00
10
10
10
00
01
01
00
11
01
00
10
10
00
10
11
10
00
10
11
10
10
00
00
01
10
11
10
00
11
00
10
10
10
00
11
11
01
11
10
10
10
00
01
00
01
10
01
00
01
10
10
00
00
00
00
10
10
10
01
10
11
10
10
10
00
01
00
10
01
00
01
00
10
10
00
11
10
01
11
01
10
00
00
01
00
11
10
10
10
11
01
10
10
11
00
10
01
01
00
01
00
10
11
00
00
00
11
11
00
00
10
11
00
00
10
00
10
11
00
00
00
10
01
11
00
11
01
00
10
10
10
01
00
10
10
01
00
10
10
00
10
11
10
10
00
10
10
11
00
00
00
00
00
00
00
10
11
00
10
10
10
11
10
11
01
00
00
11
10
01
01
10
10
10
00
01
10
11
00
10
11
10
10
10
10
00
01
10
01
00
01
10
11
11
11
00
01
10
01
00
10
00
01
01
10
10
10
11
01
00
11
00
10
11
11
10
11
11
00
11
11
11
00
01
00
00
10
00
01
11
10
00
11
10
11
11
00
01
00
11
10
01
00
01
10
10
00
00
10
11
01
00
00
00
11
00
00
10
10
00
00
00
11
10
00
00
00
10
10
00
10
10
10
00
10
10
10
01
00
10
01
00
00
01
11
00
00
01
10
10
10
00
10
10
00
01
01
00
00
10
10
00
00
10
11
11
00
10
00
01
10
11
10
00
01
10
01
01
01
11
10
01
00
01
10
00
00
11
00
10
01
00
01
00
00
10
11
00
11
00
00
01
00
10
10
00
00
00
01
10
11
00
11
00
01
00
10
11
10
10
10
11
01
00
11
10
01
01
10
10
10
01
10
11
00
11
01
10
01
00
10
10
00
00
10
00
10
00
11
11
00
01
01
11
10
01
00
10
00
00
01
11
11
00
11
01
10
11
00
00
10
10
01
10
10
00
10
00
00
10
10
00
10
00
00
11
01
10
10
10
10
00
01
00
00
11
00
01
00
01
11
00
00
00
10
10
10
10
00
10
11
01
10
10
10
01
00
00
00
00
00
00
11
01
11
10
11
11
11
01
00
10
01
00
10
01
11
10
11
00
00
10
00
10
10
10
01
11
00
11
00
11
10
00
10
00
10
11
00
00
10
11
10
11
00
11
01
01
10
10
00
01
11
11
10
00
01
00
01
10
01
00
10
11
10
00
00
11
00
11
10
10
10
00
10
00
00
10
00
10
00
01
11
00
11
10
01
00
01
00
00
11
10
11
00
10
00
00
00
10
01
10
11
00
00
00
10
00
01
00
10
11
01
00
11
00
00
10
10
11
01
01
11
00
01
10
10
10
00
00
10
01
01
11
10
11
10
01
00
00
11
11
11
00
00
00
10
00
10
00
00
10
10
10
10
11
00
11
01
00
11
10
01
00
01
10
10
10
01
10
01
00
10
10
00
10
00
11
10
01
00
00
00
11
11
11
10
00
00
11
00
01
10
10
01
00
00
10
00
10
00
11
01
10
11
01
10
11
00
10
10
10
00
10
10
01
00
11
01
11
00
10
00
10
00
00
11
10
00
10
11
01
01
10
10
10
00
00
11
00
01
10
11
01
10
01
00
10
10
10
01
11
00
11
10
01
10
00
10
00
00
00
10
01
00
10
00
10
00
00
11
10
10
10
10
00
11
11
00
10
01
11
00
01
00
11
10
00
01
00
00
11
00
01
10
10
00
10
10
00
00
00
10
01
01
00
10
10
11
11
00
00
10
01
00
00
10
10
01
11
11
00
10
01
10
11
00
00
11
01
00
11
10
01
10
10
00
01
10
10
11
01
00
11
11
00
10
10
01
10
10
00
00
11
10
00
00
00
11
00
10
00
10
00
00
00
10
10
00
10
11
00
10
10
10
01
00
10
11
01
01
00
00
01
01
10
01
01
11
00
11
10
11
10
00
00
11
11
00
10
11
00
10
11
00
10
00
10
00
10
01
01
11
10
10
10
11
01
10
10
10
01
01
10
00
00
11
00
00
11
10
00
11
01
00
10
10
00
11
11
01
11
00
10
01
10
01
01
10
11
10
01
00
10
00
00
10
01
00
11
10
01
00
01
10
01
01
11
10
00
10
10
10
00
10
10
00
01
01
01
00
00
00
00
00
11
10
00
10
10
00
01
10
11
00
00
00
00
10
10
00
01
10
01
00
01
11
10
00
00
10
11
00
00
10
10
00
01
01
10
10
01
00
00
10
00
10
10
00
10
00
00
10
00
01
00
10
10
00
00
10
10
01
01
00
11
11
10
01
11
00
00
00
10
10
01
11
01
00
01
00
11
10
00
10
10
00
10
10
01
10
11
11
01
10
00
10
00
00
11
11
00
00
00
01
10
10
00
10
01
01
11
10
01
00
00
10
00
10
10
00
01
11
11
10
10
10
00
00
10
01
01
11
00
00
00
10
00
11
10
00
10
11
00
01
11
10
10
10
00
00
01
01
11
11
00
10
11
01
00
01
10
00
10
10
10
01
10
10
10
00
00
00
11
00
00
10
10
10
10
10
01
11
10
11
01
00
11
10
00
00
00
10
10
11
00
01
10
00
11
10
10
10
00
01
11
11
10
11
01
10
00
00
10
00
11
01
00
01
11
00
10
11
00
01
11
11
00
10
11
10
11
00
00
10
10
00
10
01
01
10
00
01
00
10
00
01
11
11
10
00
00
10
11
10
10
00
00
00
00
10
10
00
00
10
10
10
01
00
11
00
01
00
10
00
01
10
10
10
10
01
01
00
00
11
11
11
01
00
00
00
01
10
10
10
00
11
10
11
10
01
00
10
10
00
00
10
01
00
10
10
00
00
10
00
01
00
10
01
10
01
11
00
10
01
10
01
00
10
00
00
00
00
10
10
11
11
10
00
10
10
10
00
10
00
01
10
11
00
00
00
11
00
00
00
10
00
00
10
00
00
00
10
11
10
10
01
00
10
00
10
10
01
10
00
10
00
00
01
00
11
10
00
10
10
00
11
10
10
00
10
10
01
11
10
00
00
10
00
00
01
01
11
00
11
01
10
10
11
11
01
00
10
00
01
11
10
01
00
10
11
00
10
00
01
11
10
11
00
10
01
10
11
01
00
10
00
00
10
00
00
00
00
10
10
10
01
00
11
10
10
00
10
00
10
00
00
01
10
11
10
10
00
01
00
01
00
10
10
10
00
10
11
00
10
10
10
00
10
01
01
00
00
10
11
10
11
10
00
11
01
01
10
01
01
10
01
10
11
01
11
10
00
11
01
00
01
10
10
10
10
00
11
11
00
00
10
10
00
11
00
00
10
10
00
00
10
00
11
00
00
10
00
00
10
10
00
10
10
10
00
00
00
10
00
00
00
00
11
10
00
11
10
00
00
00
10
00
10
01
11
00
10
01
00
11
10
10
10
01
00
11
10
00
01
11
10
10
10
01
10
11
00
00
11
01
11
01
10
10
00
00
00
01
10
11
01
11
10
11
00
10
00
01
10
11
00
10
00
11
10
11
01
01
11
10
10
10
00
00
00
10
10
00
00
10
10
10
11
00
00
00
11
10
00
00
11
10
11
10
11
10
00
00
00
10
10
01
00
10
00
01
10
00
00
00
00
10
10
00
11
00
01
10
10
10
10
01
11
00
01
00
10
10
10
01
01
10
11
00
00
11
11
00
00
10
10
11
11
00
10
00
00
01
10
10
00
10
11
10
10
00
01
00
10
00
01
10
10
01
10
10
01
10
10
00
11
10
11
01
00
10
10
01
00
00
11
00
00
00
11
10
00
00
01
11
10
01
11
01
10
00
00
10
01
01
00
00
00
10
00
11
10
11
11
01
10
00
01
00
01
00
11
10
10
00
00
10
11
01
01
00
11
01
11
11
01
00
11
00
00
00
11
11
00
01
10
11
10
11
00
00
00
11
00
01
10
10
10
00
10
10
00
01
00
00
00
00
11
10
01
00
00
11
10
00
10
10
00
10
11
10
11
00
11
00
00
00
11
00
01
00
10
11
10
00
10
10
01
00
10
10
10
01
10
01
00
00
10
01
10
00
10
11
01
10
00
00
10
11
00
10
01
10
10
01
00
11
00
10
10
10
00
10
10
00
10
11
01
10
11
00
10
10
00
01
00
11
10
00
00
10
10
11
01
10
11
00
00
00
11
10
10
00
00
00
00
01
10
10
00
10
01
10
00
10
00
00
01
01
11
11
00
00
00
10
00
00
00
10
10
11
00
00
00
01
00
10
00
10
10
00
11
00
00
10
10
11
11
10
00
10
11
00
00
10
01
10
01
10
11
01
10
10
01
10
10
00
01
10
10
00
00
01
01
10
11
10
00
10
11
01
00
10
01
10
00
11
10
01
10
10
00
00
11
11
00
01
10
11
01
10
01
00
10
10
00
00
10
00
11
00
11
10
00
10
10
01
01
01
11
00
10
00
00
00
10
10
00
00
10
00
10
10
10
11
00
01
00
10
01
00
00
10
00
11
01
00
00
10
10
00
01
10
10
00
11
10
10
00
00
11
00
00
10
01
01
10
00
01
10
11
00
11
01
10
11
00
01
10
11
10
11
00
10
00
01
00
10
10
00
11
10
00
00
01
10
00
00
10
11
01
10
01
10
10
00
01
01
11
10
00
11
10
01
11
01
01
10
01
11
10
10
00
00
10
00
11
00
00
11
11
10
00
00
10
10
10
10
01
01
11
01
10
11
11
10
10
01
01
10
11
00
00
01
10
10
00
00
10
11
00
10
10
00
00
01
10
10
11
01
11
10
00
01
00
11
00
00
00
10
11
10
00
01
10
00
11
00
10
01
01
10
11
00
01
11
10
10
10
00
01
00
10
00
10
10
11
00
00
10
10
00
00
00
11
11
00
01
10
10
10
00
10
10
00
10
00
01
10
01
10
11
10
01
00
00
10
11
00
01
11
11
01
01
00
00
11
00
00
10
10
00
01
10
00
01
10
01
10
00
01
10
11
01
10
10
01
10
00
00
10
10
00
00
00
00
11
10
00
00
11
11
11
00
00
00
11
10
01
00
10
11
00
10
00
10
11
00
10
10
10
10
01
10
00
00
11
10
11
10
10
01
00
10
01
11
00
00
10
10
10
10
10
01
10
10
10
10
11
00
00
01
00
11
11
00
11
10
00
00
01
10
10
00
00
01
11
00
00
10
01
01
10
00
11
10
00
10
00
00
00
00
10
00
10
10
10
00
01
10
10
01
00
00
00
10
00
00
00
10
10
00
10
10
10
11
00
10
10
10
01
10
11
10
10
10
00
10
00
00
10
00
11
00
00
10
10
01
01
01
00
10
00
01
00
00
00
10
11
00
10
11
10
01
10
10
00
00
00
01
10
11
11
00
10
00
00
00
10
11
01
00
00
00
11
10
00
11
01
01
10
10
10
01
00
10
10
00
00
10
10
00
10
00
01
10
01
00
10
10
01
00
10
00
00
10
10
01
00
11
01
11
00
11
10
11
11
00
00
01
10
11
01
10
11
00
00
11
11
00
00
10
10
10
01
00
11
10
11
10
11
11
10
11
10
00
00
01
00
00
11
01
10
01
00
11
00
01
11
10
00
01
01
10
10
01
01
10
00
00
11
10
10
10
00
00
11
11
00
00
10
11
11
10
00
00
10
01
00
00
10
00
01
00
10
10
10
00
00
10
00
00
01
10
00
00
10
01
10
11
10
10
00
00
11
11
00
01
00
10
00
11
11
00
01
10
10
01
00
10
10
00
01
01
10
10
10
00
01
00
11
10
01
00
10
00
01
10
10
00
00
10
00
00
10
11
10
11
00
00
10
10
10
00
10
01
11
10
00
00
01
10
01
00
00
00
11
10
10
00
00
10
01
10
01
01
10
10
00
01
11
10
00
00
10
01
11
11
11
10
10
00
00
11
10
01
00
10
11
10
10
00
00
10
10
10
11
01
00
10
01
11
00
00
10
01
01
00
01
01
11
10
00
00
10
10
10
01
10
10
10
00
10
10
10
01
10
11
01
11
00
11
11
00
00
10
10
00
00
10
10
10
00
10
11
00
00
00
10
10
00
11
10
01
10
00
00
00
00
00
11
10
01
00
10
10
11
01
00
00
10
10
01
01
11
10
10
01
10
11
11
01
01
01
10
01
00
00
10
10
00
00
00
11
11
10
00
01
00
11
00
00
10
11
10
01
00
11
10
10
00
00
00
10
10
01
00
10
10
00
00
00
00
00
00
01
00
01
00
10
00
11
00
11
01
00
01
00
11
10
10
11
10
01
10
01
00
10
11
11
11
10
00
00
00
10
10
10
00
01
10
01
10
01
10
00
00
10
01
01
00
10
10
00
10
10
01
11
11
00
00
10
11
01
11
10
00
01
11
00
01
10
10
01
10
00
00
10
10
10
00
11
11
00
10
10
01
01
00
10
10
00
00
01
11
10
11
00
11
10
11
01
00
11
10
00
00
10
00
00
00
10
10
11
00
11
01
10
01
10
11
00
10
00
00
01
11
00
10
10
00
01
01
11
00
00
11
01
00
10
10
00
01
11
00
01
00
10
01
00
10
00
00
10
11
01
00
00
10
00
00
00
10
01
10
00
01
10
01
11
10
01
11
10
10
00
01
00
10
10
10
10
11
01
10
00
00
00
10
10
00
00
01
10
00
11
01
01
10
10
10
11
10
10
10
00
10
00
00
10
10
00
01
00
01
00
00
10
00
00
10
00
00
00
10
10
01
10
11
00
00
11
01
01
11
10
01
00
01
10
10
10
00
10
10
00
00
00
01
00
00
11
11
10
01
10
11
00
10
10
00
01
10
01
00
01
00
10
00
01
11
10
00
00
10
01
10
00
00
01
00
10
00
01
10
10
00
10
10
10
00
10
01
01
00
00
00
01
10
00
10
10
01
11
10
00
01
00
11
00
10
00
00
11
00
01
00
00
10
10
00
10
11
10
11
11
00
10
11
00
10
00
00
01
01
10
11
00
00
00
01
11
10
00
00
11
10
00
00
11
00
00
11
01
00
11
10
10
10
11
00
01
01
10
00
10
10
00
10
00
01
00
00
01
10
01
10
10
10
10
11
11
00
00
01
10
01
01
00
11
00
00
01
10
10
01
01
10
11
11
00
10
11
10
01
00
10
10
11
10
00
10
11
01
00
00
11
10
01
10
00
10
11
00
00
10
11
10
00
10
10
11
10
00
01
10
00
11
01
10
00
10
00
00
00
10
10
00
10
11
01
01
01
11
00
10
10
00
00
10
10
10
00
00
11
10
10
11
00
01
10
00
11
00
01
01
00
10
00
01
00
00
10
11
00
10
10
01
00
00
00
10
01
01
11
10
00
00
10
01
00
11
11
10
01
10
10
00
11
10
10
00
00
10
00
01
11
01
00
00
11
01
10
10
10
00
00
01
00
10
01
10
10
00
10
11
00
01
00
00
00
01
01
11
01
00
10
10
10
00
11
11
01
01
10
01
10
10
10
01
00
10
11
00
10
00
10
01
10
01
01
00
11
11
11
11
10
01
11
01
01
10
11
00
00
10
11
10
11
01
01
11
10
11
00
10
00
01
11
11
11
01
11
11
01
10
10
11
00
00
10
10
01
00
00
00
10
01
11
01
10
01
10
10
10
01
10
10
00
01
01
11
10
01
10
00
11
00
10
10
00
00
01
11
00
00
00
10
00
00
10
00
10
10
00
11
10
01
00
00
11
11
01
00
11
10
10
00
10
00
01
11
10
00
00
10
00
01
10
00
10
10
11
01
00
01
10
01
01
00
11
10
01
00
01
00
00
00
11
10
00
11
10
01
10
10
00
00
10
00
00
10
10
00
10
11
10
00
10
10
10
00
10
00
00
01
10
10
00
01
10
10
00
10
10
10
01
00
01
10
01
00
00
10
10
10
01
10
11
00
00
11
00
10
10
01
00
10
10
10
10
00
00
10
01
11
00
01
01
00
11
10
11
00
11
10
11
01
10
00
00
00
10
00
00
10
00
00
10
11
10
10
10
11
10
00
00
00
00
01
00
11
11
01
10
00
00
10
00
01
10
01
11
00
00
11
11
10
01
00
11
11
01
11
01
00
10
10
00
00
11
01
01
10
00
10
00
10
00
10
10
00
00
10
10
00
11
00
01
00
10
10
00
00
01
10
10
00
00
11
10
11
01
01
10
11
00
01
10
11
10
00
00
00
10
10
11
10
10
01
10
01
11
01
00
11
10
11
01
00
00
11
00
00
11
11
10
10
10
00
11
10
01
11
10
00
01
11
01
00
01
10
00
00
10
10
01
01
10
10
10
00
11
00
11
10
01
10
10
01
00
00
10
00
10
11
01
00
11
00
00
11
10
10
11
00
01
01
10
10
10
00
01
00
10
00
00
10
00
11
10
00
00
01
11
11
10
10
00
00
01
10
11
00
01
00
00
00
11
00
00
10
11
10
10
00
01
00
10
10
10
00
10
01
01
00
11
10
00
00
10
10
11
00
00
10
00
00
00
00
01
00
10
01
10
00
11
10
00
11
10
01
00
01
11
11
00
10
10
00
00
00
10
10
10
10
00
10
10
10
00
11
10
00
01
00
10
11
10
01
00
11
00
10
00
11
11
11
00
00
00
10
10
01
10
11
00
00
11
00
11
10
10
00
00
00
00
01
00
10
01
00
10
10
00
00
11
11
10
00
10
00
00
10
00
01
10
10
11
11
10
10
00
00
10
10
00
00
10
10
01
10
10
11
00
11
00
11
10
11
00
00
11
01
10
10
00
10
01
01
10
11
11
01
11
11
11
00
00
10
10
00
01
10
11
00
10
11
00
00
01
10
10
00
00
10
01
00
10
11
00
11
00
00
00
10
11
10
00
00
01
00
10
00
11
11
10
10
01
01
11
10
11
00
01
11
00
00
10
10
01
01
10
10
00
00
10
10
10
10
00
00
00
01
10
00
00
01
10
11
11
00
01
00
10
11
00
10
00
00
11
00
01
01
10
11
11
00
00
10
11
10
00
01
11
10
11
10
00
11
10
00
01
00
10
10
11
00
10
00
11
01
00
10
10
10
11
11
00
10
00
00
11
10
00
00
11
00
11
00
11
00
00
10
11
00
00
10
10
01
10
11
01
11
10
00
10
10
01
00
00
10
11
11
10
00
10
01
01
01
10
10
00
10
00
00
00
10
10
00
10
01
10
01
10
10
00
01
01
00
00
00
10
00
00
10
00
00
01
10
11
00
10
10
00
00
01
00
10
01
11
00
01
10
10
00
10
10
00
10
11
00
00
10
00
10
10
01
00
00
01
10
00
10
10
10
11
01
00
01
10
11
00
10
11
11
10
00
01
11
11
10
01
11
10
10
10
01
00
11
10
11
11
00
10
00
00
10
11
00
11
10
00
10
10
11
00
01
10
11
11
10
00
00
10
10
10
10
01
10
10
10
11
11
10
01
00
00
00
10
10
10
11
11
10
10
10
01
00
00
11
10
01
10
10
00
01
10
00
01
10
00
01
10
00
01
10
11
10
11
11
01
00
00
00
11
10
00
00
10
10
01
00
00
10
11
01
00
00
00
11
11
11
10
00
11
00
10
10
00
01
01
10
01
00
00
00
00
01
11
01
00
01
01
10
10
10
00
01
10
10
00
11
00
00
11
11
01
01
10
10
00
00
11
01
00
10
10
00
01
00
00
10
11
00
01
11
10
01
00
00
00
11
11
11
10
01
00
11
11
10
00
10
10
10
01
00
01
11
11
10
10
11
11
11
10
00
01
00
11
01
11
10
01
00
11
10
00
00
00
00
01
11
10
10
00
11
01
10
10
00
10
10
01
11
10
00
01
00
10
11
00
00
10
00
00
10
11
10
01
00
10
11
00
01
00
00
00
00
01
10
10
00
00
11
10
10
00
00
01
00
01
00
11
10
10
00
01
10
10
00
00
00
01
10
10
00
11
00
00
10
10
00
01
01
00
10
10
10
00
01
11
10
00
10
10
00
01
10
00
00
01
10
00
10
00
00
01
10
00
11
00
00
11
11
10
10
00
10
00
11
10
11
00
01
10
11
10
01
00
10
10
01
00
10
00
00
00
10
10
10
11
01
10
11
00
10
00
00
10
00
10
11
10
00
10
10
00
11
00
10
00
11
10
10
00
00
10
11
10
10
01
10
10
01
00
10
10
00
00
00
00
10
11
11
11
10
01
10
01
11
00
00
10
00
00
00
10
00
00
10
00
00
10
00
10
10
00
00
10
10
01
10
01
10
01
01
00
10
11
00
00
10
11
00
01
00
10
00
00
10
00
00
11
10
01
10
00
00
10
00
10
01
00
01
10
00
10
10
00
10
11
01
01
10
01
10
11
00
11
10
00
10
10
00
01
10
10
10
00
00
10
00
01
01
00
01
00
00
00
10
11
10
00
11
00
00
00
10
00
01
00
10
00
10
00
01
00
00
01
10
00
10
01
11
10
10
10
00
10
01
01
01
11
10
00
11
00
10
10
01
00
11
00
00
10
10
01
01
01
10
00
10
10
11
01
11
01
00
10
00
10
00
10
11
00
11
01
00
11
00
01
01
11
11
10
01
01
00
10
10
00
01
00
10
01
00
11
00
00
10
10
00
10
10
00
00
11
10
11
01
00
11
10
00
00
00
10
10
00
00
10
00
01
01
00
11
00
00
11
00
00
11
10
10
00
01
00
11
11
00
10
10
00
10
10
00
01
00
01
00
01
11
10
00
10
00
10
00
01
00
01
11
10
00
00
00
11
10
00
00
01
10
00
00
10
01
00
00
10
10
00
10
01
00
01
10
00
00
11
10
01
00
10
00
00
10
00
01
10
01
10
01
10
10
10
01
01
11
00
00
00
10
10
00
01
11
01
00
00
00
01
10
10
10
01
11
00
10
10
01
00
11
01
10
10
11
10
01
00
10
11
00
00
00
00
10
01
00
11
00
10
10
10
00
01
01
11
01
10
11
00
01
11
10
00
00
01
10
10
01
01
11
11
00
11
10
00
00
00
10
10
10
01
01
00
10
11
11
11
00
01
01
00
11
11
10
10
01
00
10
11
00
00
00
10
10
00
10
10
10
00
00
00
01
10
01
10
00
10
10
00
11
10
01
01
00
10
10
00
11
01
10
00
10
11
00
00
01
01
01
00
10
11
01
00
01
10
10
00
01
10
00
00
11
10
10
10
01
10
01
10
10
10
00
11
10
01
01
10
10
10
11
11
10
00
11
00
00
00
01
10
00
11
10
00
11
00
00
00
10
10
00
00
00
11
00
00
10
00
01
10
10
01
01
10
10
01
00
10
10
00
10
00
10
01
01
10
00
10
11
00
10
11
00
00
11
00
10
10
11
00
00
10
11
10
00
00
10
10
01
10
00
10
00
00
10
11
10
10
00
00
01
00
10
11
10
11
00
00
01
01
00
00
00
00
11
11
10
11
00
11
01
01
10
10
10
00
10
01
01
11
10
10
01
00
00
00
10
10
10
01
11
00
01
10
00
10
10
00
10
00
10
00
00
00
01
10
10
00
00
11
00
00
10
00
10
11
01
11
10
00
00
00
01
00
01
11
10
11
10
10
00
10
11
00
00
10
10
01
10
01
00
01
01
01
11
10
00
00
00
01
00
10
10
11
01
01
00
11
11
01
00
00
01
10
10
00
10
11
00
10
00
01
11
00
00
10
10
11
00
01
01
01
11
01
11
10
01
10
10
11
10
01
01
00
00
00
11
11
11
00
11
01
00
11
00
11
10
11
00
00
10
10
10
00
00
11
11
10
00
00
11
11
01
11
10
00
11
01
00
01
00
10
00
01
11
01
00
10
00
10
00
11
10
01
10
00
00
10
10
00
01
00
00
10
01
00
10
01
11
11
00
01
10
00
00
01
10
01
10
00
01
10
10
01
01
10
00
10
01
00
00
00
11
10
10
11
10
11
10
01
00
00
01
10
10
11
10
00
10
01
00
00
10
10
10
00
10
00
00
10
01
10
11
11
00
10
10
11
00
10
10
00
00
10
01
00
01
10
10
11
10
01
10
11
01
10
00
00
11
00
01
10
10
01
00
10
00
11
10
10
01
00
10
00
01
00
11
11
01
01
01
10
11
00
00
00
11
10
00
11
10
00
10
10
00
10
10
01
00
11
00
00
00
11
11
00
10
10
10
00
10
10
00
10
01
00
01
10
10
10
01
00
10
00
00
11
10
00
00
10
10
00
11
10
00
01
10
00
00
00
00
00
10
01
10
10
00
00
00
01
10
10
00
11
10
10
10
00
10
01
00
00
10
11
00
10
10
10
10
00
10
10
00
01
01
10
00
01
00
10
10
01
10
11
00
00
00
00
00
11
10
00
00
10
00
10
11
10
10
00
10
01
00
01
00
00
10
10
10
10
00
11
10
01
00
00
10
00
00
00
00
10
00
00
00
10
10
01
11
10
10
00
11
11
01
10
10
00
00
01
10
00
00
11
10
11
00
00
10
00
01
11
10
11
00
10
11
00
10
11
01
01
00
11
00
10
00
11
10
10
00
01
10
01
00
10
01
01
10
11
01
10
00
11
11
00
01
11
10
11
00
00
10
00
00
11
10
01
01
10
10
11
11
00
10
11
10
10
10
11
00
00
01
00
01
00
10
10
00
01
10
11
00
00
10
01
10
10
00
01
10
10
10
01
01
11
01
11
11
11
00
01
10
00
00
10
11
01
00
10
00
10
11
11
01
00
10
00
11
01
10
11
00
00
10
00
00
10
10
01
10
11
11
10
10
10
10
01
01
01
10
10
10
10
00
01
10
11
00
10
10
01
10
10
00
00
00
10
10
01
10
11
10
00
00
01
11
11
01
00
00
11
01
10
10
01
01
11
11
10
00
00
10
10
11
00
01
00
10
11
10
10
10
00
00
00
01
10
11
10
10
11
11
10
00
01
10
00
01
00
10
10
00
10
10
00
00
01
10
10
00
11
00
10
00
01
11
00
01
10
10
10
00
01
10
00
01
00
10
11
01
00
11
00
00
01
00
10
00
10
11
10
00
11
10
11
10
00
10
00
00
10
11
01
10
01
11
00
01
00
00
00
00
10
00
01
11
00
10
10
00
00
10
10
10
00
00
00
10
00
00
00
00
00
01
01
01
01
01
00
01
01
10
00
00
00
00
10
11
10
01
11
10
00
00
10
01
11
10
10
01
00
01
00
00
00
00
10
00
00
10
10
01
00
11
10
00
11
10
11
00
00
11
00
01
01
10
10
10
00
10
01
10
01
11
11
01
11
11
00
01
10
00
01
10
11
01
10
10
00
11
10
10
00
00
00
00
11
10
10
00
10
00
01
10
00
10
11
00
00
11
01
11
00
10
10
00
01
01
11
10
11
10
11
11
00
10
10
10
01
10
01
00
10
10
10
00
10
10
00
10
00
10
00
00
10
01
00
00
00
11
00
00
00
00
11
10
10
10
00
10
00
00
11
10
11
01
10
10
00
10
00
01
11
00
01
11
10
00
00
00
10
10
01
01
00
10
10
10
10
01
10
10
10
00
01
11
11
00
11
11
10
00
00
10
11
01
00
10
10
10
01
11
10
10
10
00
00
10
01
01
00
01
10
10
11
10
01
10
10
00
01
01
10
00
10
10
11
11
01
01
11
01
00
01
10
00
01
00
10
11
01
00
10
10
00
01
01
11
11
10
00
00
10
01
11
10
00
10
10
00
01
10
10
10
11
00
11
10
11
10
10
01
00
00
01
00
10
10
00
00
00
10
11
11
10
11
11
01
10
00
11
00
00
10
00
00
11
10
11
10
00
00
00
11
01
11
10
01
00
10
00
10
00
00
00
11
10
00
00
01
00
11
00
01
00
11
10
11
11
00
00
11
11
10
10
10
00
01
11
01
11
10
01
10
00
11
00
00
11
10
10
11
00
10
00
00
10
00
00
10
10
10
11
01
01
01
10
10
01
01
01
10
11
10
10
10
01
10
10
11
00
11
10
00
10
00
00
00
10
11
00
01
10
10
10
10
01
10
10
10
11
10
11
01
01
11
10
00
10
10
00
00
01
10
10
00
10
00
11
10
11
00
01
01
11
01
00
10
10
00
00
00
10
00
11
11
01
00
11
01
11
00
11
11
00
10
11
00
00
01
11
01
11
00
11
11
00
00
10
10
11
11
00
00
00
11
00
11
01
00
01
00
00
00
00
11
11
00
00
01
00
11
10
11
10
11
00
10
11
01
01
11
00
01
10
11
01
00
10
11
10
00
10
11
10
00
00
00
10
10
10
01
00
01
01
10
10
00
01
10
10
00
11
00
00
00
10
00
01
00
01
00
10
01
11
01
10
01
10
10
00
01
00
10
10
11
10
00
11
00
11
10
01
11
00
11
00
00
10
10
00
00
10
10
00
11
10
10
10
01
11
01
00
10
11
00
00
00
00
10
10
00
00
00
10
00
00
00
11
10
10
11
00
00
11
00
00
00
00
11
10
01
11
10
01
10
01
11
10
00
00
00
11
00
01
10
10
10
10
01
00
10
10
00
01
10
00
00
10
00
00
00
10
10
00
10
00
00
01
00
01
11
00
00
10
10
10
11
00
01
10
10
01
00
10
00
01
10
01
10
10
00
00
10
00
10
10
10
00
00
10
01
00
01
01
10
11
10
00
10
00
01
11
01
00
10
01
11
10
01
10
10
10
10
00
10
01
01
10
11
11
11
00
10
00
10
00
00
11
10
11
00
01
00
11
00
01
00
00
01
11
11
01
00
11
00
10
01
11
11
10
01
00
10
10
10
11
00
00
00
11
10
01
00
00
10
11
10
11
10
01
00
10
00
10
00
00
00
11
01
01
00
10
11
01
11
10
11
01
00
10
11
00
10
10
01
00
01
10
11
10
00
10
11
01
11
10
00
01
11
00
10
00
00
11
11
10
11
00
10
00
11
11
01
01
10
01
10
11
00
10
10
00
01
11
00
00
11
00
00
10
01
00
10
10
10
10
10
10
00
10
10
00
00
01
01
00
10
10
00
01
10
01
10
01
00
10
01
00
10
11
00
10
11
00
10
10
01
01
00
00
10
10
10
10
01
00
01
10
00
10
00
01
00
11
10
00
00
01
10
01
00
11
00
10
01
00
10
11
00
01
00
10
10
10
00
10
00
00
10
10
01
00
01
11
10
10
10
10
00
00
11
00
00
00
11
00
10
10
00
01
01
00
11
01
00
10
10
10
00
00
11
10
00
00
10
10
10
00
11
00
01
00
10
10
10
00
11
10
00
00
10
00
11
00
00
00
10
10
00
10
10
00
01
11
10
00
01
10
01
11
10
10
10
00
01
01
10
00
01
10
10
10
01
00
00
10
01
10
10
10
10
11
01
00
01
10
11
00
00
00
11
00
10
00
10
10
11
10
00
10
10
11
10
11
11
00
10
01
11
11
00
00
00
00
10
10
10
10
00
11
00
11
10
00
10
00
00
10
00
10
11
00
11
10
01
00
10
00
11
11
11
01
10
01
01
10
01
10
11
00
00
11
10
00
00
10
00
10
10
00
10
00
10
10
11
01
01
11
10
01
10
01
00
10
10
00
10
00
11
10
10
00
00
10
01
00
00
00
10
11
01
11
00
10
10
10
10
10
10
00
00
00
10
00
01
10
11
01
10
10
10
00
00
10
10
01
10
00
01
01
00
01
11
11
10
00
00
10
00
01
00
10
11
01
00
00
10
10
01
00
00
10
00
01
10
01
00
11
10
00
11
01
00
01
10
10
10
10
01
10
10
00
10
00
10
11
00
11
10
01
00
00
10
01
00
10
10
10
10
00
00
10
01
00
10
01
10
00
00
11
11
01
10
11
10
01
11
11
00
00
10
10
01
10
10
00
00
00
10
00
01
00
10
10
00
01
00
00
10
01
00
10
01
00
11
11
00
10
01
00
10
00
00
10
01
11
00
11
10
01
00
11
10
11
10
00
00
10
00
00
11
10
10
01
01
10
10
00
11
00
00
10
11
00
10
10
11
00
00
01
00
00
11
01
11
11
01
10
10
01
00
00
01
00
11
00
11
11
10
01
00
00
10
10
10
01
01
11
00
01
11
00
01
00
01
11
00
10
00
10
10
10
10
00
10
10
00
00
01
10
01
00
10
00
11
11
01
11
11
00
10
00
00
00
11
10
00
01
10
00
00
10
10
00
10
00
01
11
00
11
00
01
00
00
11
10
10
01
01
11
00
10
00
01
10
00
11
00
10
10
01
10
00
00
00
11
00
10
10
11
11
11
01
00
10
00
00
10
00
01
10
01
10
10
10
01
11
00
00
10
11
10
10
11
00
00
10
00
11
00
10
00
00
00
10
10
10
00
01
01
00
01
11
10
01
10
10
10
10
00
00
10
01
00
11
00
10
00
11
10
11
00
01
11
01
10
11
00
00
01
11
10
01
11
11
00
10
01
00
00
10
10
00
01
01
11
10
10
00
01
01
10
10
01
10
10
01
00
00
00
00
10
00
11
10
11
00
00
11
11
11
01
00
11
00
10
10
10
00
10
10
00
00
00
10
10
00
10
11
00
00
10
00
10
01
01
10
10
11
00
00
01
00
01
01
11
10
10
00
10
11
01
01
11
00
00
01
10
10
00
00
00
10
00
00
01
10
10
10
01
10
01
00
11
10
11
10
00
10
10
10
00
10
11
00
01
01
10
00
00
10
00
00
00
11
11
01
01
01
10
11
00
01
00
10
10
10
00
01
00
01
00
10
10
10
01
11
01
01
10
10
10
10
01
01
10
11
01
00
10
10
10
00
10
00
01
00
10
00
10
10
01
01
00
10
11
00
11
10
01
00
00
00
10
01
01
10
10
10
11
00
01
11
10
00
00
01
10
00
01
01
10
01
00
11
01
00
10
10
10
00
11
01
10
00
00
10
01
00
10
10
11
00
10
00
00
00
10
10
11
10
01
00
00
01
00
11
11
10
01
10
11
00
11
11
00
01
10
01
00
11
01
10
00
01
00
11
00
11
00
11
00
10
10
01
01
00
10
11
00
01
00
11
10
00
10
11
10
00
00
10
11
00
00
00
00
10
01
00
10
10
10
00
01
10
11
01
11
10
01
10
11
00
00
10
10
00
10
00
00
01
00
01
00
10
00
10
10
01
00
10
01
00
10
00
00
11
10
11
10
10
00
11
10
01
10
11
00
01
01
10
11
01
10
10
11
10
10
10
00
00
10
00
01
10
10
10
10
00
00
00
10
11
10
10
11
11
00
10
00
00
11
10
10
01
11
10
00
00
10
00
11
11
00
10
00
01
00
10
00
11
01
00
10
10
11
10
11
01
11
00
10
00
00
10
11
10
01
01
10
00
11
00
00
00
11
01
10
00
00
10
11
01
10
01
11
10
10
10
00
01
10
10
10
00
00
11
01
00
11
11
00
10
10
10
01
00
11
00
00
10
01
00
10
10
01
10
01
11
00
01
10
11
00
10
00
00
10
10
00
00
01
10
00
10
00
00
11
11
01
10
10
10
11
01
10
11
01
10
11
10
01
00
00
10
10
10
01
01
10
10
10
10
10
01
00
00
10
11
10
11
10
01
00
11
10
00
11
10
01
11
10
00
00
00
10
00
00
10
10
00
01
10
11
00
11
00
01
00
11
00
00
10
10
11
00
00
10
10
00
10
01
10
00
00
10
10
00
00
10
00
00
00
01
10
10
01
11
01
10
11
10
10
00
10
11
00
00
00
01
10
00
11
00
10
01
00
10
11
10
10
00
01
00
11
10
11
00
00
10
01
00
10
00
00
11
10
00
00
00
10
10
10
00
11
10
10
11
10
00
10
00
00
00
01
11
00
10
10
10
10
11
10
10
01
00
11
00
10
00
10
10
01
10
10
00
10
10
11
00
10
01
10
01
11
11
00
10
10
01
11
10
00
00
00
11
01
10
10
10
11
01
00
00
10
10
11
01
00
10
10
00
00
11
10
10
00
00
10
10
01
01
01
00
00
11
01
11
10
00
01
01
00
10
00
00
01
10
10
10
00
10
10
00
11
00
00
10
10
00
01
00
11
00
00
10
11
00
10
10
00
10
10
10
01
11
00
10
01
10
01
00
01
10
11
01
10
00
10
00
00
00
00
11
00
10
10
11
00
11
00
01
00
10
10
10
00
01
01
10
01
00
10
10
00
11
10
01
00
11
11
11
01
00
00
10
01
00
00
10
10
00
11
10
10
10
10
00
01
10
10
01
00
00
01
00
00
10
00
11
10
01
00
00
10
00
01
11
10
00
10
11
00
10
01
00
10
00
01
11
00
00
01
00
01
10
11
10
11
01
00
10
10
00
10
10
00
01
10
10
01
10
00
00
01
11
10
01
01
01
10
10
00
10
11
00
11
10
01
00
00
11
10
10
01
10
10
10
00
11
10
10
01
11
01
10
10
01
01
11
00
01
10
01
10
01
11
10
00
00
00
01
10
10
00
00
11
00
00
10
10
01
01
10
10
00
00
00
10
01
10
11
10
10
00
10
10
01
00
10
11
10
00
11
10
00
00
00
00
00
11
10
00
00
00
01
11
10
10
11
00
10
10
00
00
10
11
00
10
00
10
10
00
10
10
11
11
00
00
10
10
01
01
11
01
00
01
00
00
11
11
00
00
00
00
10
00
10
00
00
10
10
00
01
00
01
00
10
10
01
10
01
00
10
00
00
10
10
00
11
10
00
00
00
10
10
00
00
00
10
10
10
00
01
10
10
11
10
00
00
00
01
00
11
10
00
10
00
10
11
10
00
01
01
00
11
01
10
00
01
10
00
00
00
10
10
10
00
11
10
00
00
00
00
10
01
10
10
00
11
11
01
10
10
11
01
00
01
10
11
01
00
00
10
00
00
00
00
10
01
00
10
10
00
01
00
10
00
10
11
11
11
00
01
11
00
00
01
10
11
01
11
11
00
10
10
10
00
01
10
00
10
00
01
00
01
10
01
00
00
00
10
11
01
10
00
10
11
00
01
10
01
00
01
00
00
00
10
00
01
10
11
00
01
11
11
00
10
00
01
00
10
11
10
10
00
00
00
00
00
00
11
00
00
01
10
00
00
10
10
01
01
10
11
00
00
00
11
00
10
11
01
10
11
00
10
00
00
11
01
00
11
00
10
01
00
10
10
01
10
10
00
10
00
00
01
01
10
10
11
10
01
10
11
00
00
00
10
00
01
10
10
00
10
00
10
01
00
01
10
10
10
01
00
01
10
00
00
11
10
10
00
10
00
00
11
01
10
10
10
01
00
10
01
00
00
10
01
00
01
11
10
10
01
01
10
01
00
10
10
00
10
10
00
01
00
00
10
10
01
00
00
11
10
01
00
00
10
10
11
00
01
10
10
10
01
00
10
01
00
10
01
01
10
10
10
10
11
00
10
00
11
01
10
00
00
11
10
10
11
00
01
01
00
10
10
10
00
10
11
00
10
10
11
10
00
01
01
11
00
10
11
10
00
11
00
10
11
00
10
00
11
10
00
00
10
00
10
00
00
10
10
10
01
10
00
11
00
11
00
11
10
01
10
01
00
00
10
11
10
01
10
11
11
10
11
11
10
00
01
00
10
10
10
11
01
10
10
10
10
10
01
11
10
00
00
11
00
01
10
01
00
01
00
10
10
10
10
01
01
11
10
00
11
10
01
11
01
00
00
10
11
01
00
00
01
11
10
10
10
00
11
00
01
00
10
00
00
11
10
00
11
01
00
10
10
00
10
10
00
00
11
00
01
01
00
00
01
10
00
10
10
10
10
11
00
00
11
11
10
11
11
10
00
01
10
11
10
01
01
10
11
00
11
10
10
00
10
10
01
10
10
01
10
10
11
10
10
01
11
10
10
10
01
10
00
01
00
10
11
10
01
00
00
00
11
00
01
10
00
11
10
11
10
01
00
11
01
10
11
00
10
10
00
01
01
00
01
00
00
01
11
10
00
00
11
10
00
10
10
11
00
11
01
11
00
01
10
11
01
00
10
00
10
10
00
00
01
00
01
01
10
10
10
10
00
10
10
10
00
00
10
00
00
11
11
11
00
01
01
00
10
11
00
01
10
10
01
00
11
00
00
10
10
10
00
00
01
01
00
10
10
11
11
01
00
01
10
00
10
00
00
01
01
11
00
10
11
01
00
11
00
00
01
10
10
01
11
11
11
00
10
00
00
10
11
00
00
10
10
01
10
10
10
01
00
11
10
00
01
00
10
10
00
00
00
00
10
00
00
00
01
10
10
10
11
00
10
10
00
00
11
00
01
00
10
00
00
00
10
00
00
10
10
01
01
11
01
01
01
01
00
01
10
11
00
00
10
11
00
01
11
01
00
10
01
00
00
10
10
00
00
10
00
00
10
00
01
10
00
11
10
00
10
10
00
10
10
01
00
00
11
10
00
11
00
00
00
11
10
11
00
00
00
01
00
00
11
10
10
00
00
10
00
10
01
10
10
10
00
11
00
10
10
00
01
11
00
01
00
10
00
10
10
01
00
10
01
10
00
10
11
00
01
00
10
10
01
00
10
01
00
01
10
00
10
10
11
00
00
10
11
01
11
11
00
00
01
10
10
01
00
10
01
00
10
10
00
01
00
11
11
10
00
00
01
10
10
00
01
01
01
00
10
10
10
10
00
01
11
10
10
00
10
01
10
01
10
11
10
10
10
00
01
10
11
00
11
00
00
00
00
00
10
00
00
01
10
01
01
11
10
01
10
10
11
00
00
10
11
00
10
00
01
10
11
00
01
01
00
10
11
11
00
11
10
01
00
11
11
11
00
10
00
00
10
10
00
10
10
10
10
10
00
10
10
10
00
00
10
10
11
11
11
11
00
00
00
10
00
10
01
01
10
01
01
01
10
11
10
00
10
10
00
01
01
10
11
11
00
10
01
01
00
00
10
11
00
10
01
00
11
10
00
01
10
10
10
11
00
11
11
11
10
01
10
01
10
10
00
00
00
00
01
00
00
00
01
10
11
10
00
11
00
01
10
11
00
00
10
10
10
10
10
01
11
00
10
00
01
00
10
00
00
11
10
11
00
01
00
01
10
11
00
11
10
10
01
10
10
00
01
00
10
10
11
10
00
10
10
10
10
00
00
10
10
01
00
00
01
01
11
00
01
10
01
00
11
00
10
00
10
00
00
10
10
10
00
10
01
10
00
00
10
00
00
10
01
01
11
00
10
00
00
10
01
11
10
10
10
10
00
10
10
00
01
01
11
11
00
00
10
00
00
00
00
10
10
10
10
01
10
10
00
10
00
00
11
10
01
11
10
00
00
11
00
11
10
00
10
10
10
01
00
00
01
10
10
01
00
10
11
00
00
11
11
00
00
01
10
10
01
01
11
10
10
10
01
01
00
10
10
00
00
00
10
01
00
10
10
11
00
11
01
00
00
00
10
11
00
00
10
10
10
10
00
10
00
00
00
00
00
11
01
11
00
01
10
01
11
01
01
10
11
01
00
11
10
01
00
00
11
10
01
01
11
11
01
00
10
10
00
00
10
11
00
00
00
10
10
00
10
11
11
01
10
01
11
11
00
01
00
00
10
10
00
01
10
10
10
00
10
11
00
10
10
01
11
01
10
10
10
11
10
00
10
10
00
00
00
00
11
00
01
00
01
00
01
00
11
01
00
11
10
00
00
11
01
10
00
01
00
00
00
00
10
01
01
10
10
10
00
10
01
00
11
10
11
10
11
01
00
11
11
00
01
10
01
00
10
10
10
11
01
00
11
00
01
10
00
00
00
11
11
00
00
11
00
00
00
11
00
00
10
00
10
10
10
00
10
00
10
10
00
10
00
01
10
10
00
00
01
10
00
00
10
01
10
10
01
11
10
10
11
00
10
00
00
11
00
01
00
11
00
01
11
11
10
00
10
10
11
11
10
00
11
01
10
11
10
00
11
00
00
10
10
00
01
11
10
00
00
00
11
00
01
00
00
00
10
01
01
11
11
10
11
00
00
10
10
00
00
01
01
10
11
10
00
11
10
00
01
00
10
10
00
00
00
10
10
10
10
00
10
10
01
10
01
00
00
10
10
10
01
00
11
11
00
11
10
00
00
10
10
01
11
11
10
11
00
01
11
11
10
00
11
11
01
00
00
11
10
01
00
10
10
00
01
10
01
01
10
00
10
00
00
00
10
11
00
10
11
00
10
00
00
00
10
01
00
10
11
00
00
10
10
11
00
11
00
10
11
10
11
00
10
00
00
11
10
11
01
10
01
00
01
11
11
10
00
10
11
00
00
10
11
10
01
00
10
00
11
11
01
00
10
00
00
01
00
00
11
10
00
10
10
10
01
10
10
01
00
00
01
10
10
00
01
01
10
00
10
00
00
00
01
00
10
10
00
00
10
10
11
11
00
10
10
00
10
10
01
00
10
00
10
00
11
00
00
10
10
10
11
00
11
00
00
10
01
00
00
11
00
10
10
00
10
01
00
11
10
11
10
00
01
01
00
10
10
11
11
11
01
00
01
01
10
11
11
11
01
11
10
00
00
01
10
10
01
01
00
11
10
00
00
10
10
10
01
01
10
10
00
00
10
01
10
10
00
00
10
01
01
11
00
00
10
00
01
11
11
01
01
00
00
11
10
00
00
10
10
00
01
00
10
11
10
00
00
10
00
10
11
01
00
11
01
10
11
01
10
10
00
00
10
01
00
10
01
01
10
00
01
01
10
10
10
10
00
01
00
10
10
00
01
11
00
11
11
00
00
00
00
00
10
10
01
01
01
10
00
11
10
00
10
10
00
11
01
10
00
10
11
00
00
10
11
10
00
00
10
00
00
01
11
10
10
10
00
00
11
01
00
10
01
00
10
11
10
10
01
10
00
00
10
01
10
10
01
00
11
00
01
11
00
00
10
00
00
11
10
00
11
01
10
10
10
10
10
00
01
01
11
10
00
10
10
00
01
00
11
00
10
10
10
01
10
11
10
11
00
10
10
01
00
11
01
11
10
10
10
00
00
10
10
00
00
10
10
11
10
00
00
10
11
01
00
11
10
00
00
01
11
01
11
01
00
10
11
00
00
11
11
10
01
11
00
10
00
10
10
01
00
11
10
10
00
00
00
00
10
10
10
10
00
11
00
10
00
00
11
10
00
01
10
10
00
10
10
11
00
10
11
00
00
10
10
00
10
11
00
00
11
10
00
10
01
11
10
11
00
01
10
00
10
10
01
01
10
10
00
01
00
00
00
10
11
00
00
00
10
11
00
01
01
10
00
10
10
00
00
00
10
10
01
00
11
10
10
01
10
10
00
10
10
10
00
00
11
11
10
00
10
10
01
10
00
11
10
10
00
10
00
01
01
01
10
00
11
01
11
11
00
11
11
01
01
10
00
11
11
01
00
01
11
10
00
10
10
01
10
10
00
10
10
10
11
00
00
11
00
10
01
11
10
00
00
01
00
00
01
10
11
00
00
10
00
01
10
00
00
10
00
00
10
10
01
00
01
00
10
10
01
00
11
10
11
00
00
01
00
10
10
01
00
11
00
11
10
10
10
00
01
10
00
00
10
00
10
10
00
10
00
11
11
11
00
00
10
11
11
10
00
00
00
10
11
10
01
10
10
00
11
01
00
10
00
10
01
00
10
01
10
10
10
01
10
10
00
01
10
11
10
00
10
11
00
10
10
00
10
10
01
10
00
00
01
10
01
11
10
00
00
11
11
01
11
10
00
01
11
10
11
00
00
10
00
00
10
10
00
00
00
10
10
10
10
10
11
11
00
10
01
00
11
10
01
10
00
10
01
01
10
00
00
00
10
10
10
10
01
00
11
00
01
01
00
11
00
00
11
11
01
10
01
01
11
00
10
10
01
01
01
01
10
10
10
01
00
00
10
10
10
10
10
00
01
01
11
00
10
01
10
00
10
11
00
01
10
00
10
00
10
11
00
00
00
01
00
10
11
00
00
00
11
10
01
10
10
01
00
10
11
01
00
01
00
10
00
00
10
00
11
10
10
00
00
00
01
00
11
10
00
10
00
10
10
00
01
01
10
10
01
10
01
00
10
00
10
01
10
11
00
00
10
10
00
11
10
00
00
00
11
00
11
11
10
00
01
10
10
10
01
00
10
00
10
11
00
11
10
01
01
10
10
11
10
00
10
10
00
11
10
01
10
10
00
00
11
10
10
00
00
01
01
00
00
11
01
11
00
00
11
10
10
01
00
11
11
10
00
10
00
01
10
11
01
00
10
01
00
10
00
00
00
10
10
00
00
00
10
01
00
00
11
11
10
01
10
11
00
00
01
00
11
10
00
00
00
00
10
11
00
01
01
10
01
10
11
00
10
10
01
10
10
01
10
01
00
00
10
01
01
10
00
00
11
11
00
01
00
10
00
10
00
00
01
10
11
00
11
10
00
10
00
00
10
00
00
11
10
10
10
11
10
10
00
10
10
00
10
00
10
00
11
11
00
00
10
10
11
01
00
10
00
01
10
10
10
00
00
00
11
10
00
10
10
01
00
10
11
00
10
00
00
10
10
00
01
10
11
00
11
00
10
10
11
00
01
00
10
11
01
00
10
00
00
11
10
00
00
10
10
10
01
11
11
01
01
11
01
10
10
10
00
00
11
11
10
10
00
00
10
11
10
01
11
00
10
10
00
11
01
00
10
10
00
11
00
01
10
11
01
00
00
00
00
10
10
00
10
10
10
10
00
01
10
10
10
00
11
11
00
00
00
10
00
10
11
11
10
10
01
11
01
01
10
10
11
10
00
10
11
01
00
11
00
00
00
11
11
10
00
00
11
10
11
00
00
11
10
10
01
10
10
10
10
00
01
10
10
00
00
00
10
10
11
11
10
10
00
00
10
10
01
01
11
10
00
10
00
00
10
10
01
11
10
00
11
11
00
10
10
11
00
00
11
01
10
11
10
10
10
11
01
00
11
11
00
01
01
00
11
10
00
00
10
10
10
00
00
00
00
01
00
00
00
10
00
10
00
01
01
00
10
10
01
10
00
00
10
11
11
01
00
00
10
10
10
01
10
10
01
10
10
11
01
10
10
00
10
01
00
01
00
00
00
00
01
11
11
00
00
00
10
00
10
01
00
00
01
10
01
00
10
00
11
01
11
10
00
00
00
10
00
10
11
10
01
00
11
01
00
10
00
10
10
10
00
01
10
01
11
10
11
01
00
00
00
00
01
10
10
10
00
10
10
11
00
10
00
00
00
10
10
01
10
10
00
00
10
00
00
10
11
01
00
11
10
00
11
10
00
01
10
10
01
00
10
11
10
10
00
10
10
10
11
11
01
00
10
00
00
11
00
10
11
00
10
11
00
11
10
00
00
00
01
11
10
00
00
00
01
00
11
10
10
11
01
00
10
00
01
01
10
10
01
01
10
00
10
10
11
10
00
10
11
00
10
00
00
10
10
00
01
10
11
00
10
00
10
10
10
10
01
00
10
00
11
11
00
00
00
01
00
01
10
11
11
11
11
01
00
00
11
11
00
01
10
11
00
01
10
00
00
11
11
01
10
10
10
10
10
01
00
10
00
01
10
10
01
00
00
10
01
00
11
10
01
11
01
00
10
10
00
01
11
00
11
10
11
00
00
10
10
11
00
00
10
10
10
11
00
01
00
11
10
10
10
01
00
10
11
00
00
01
00
10
00
01
10
10
10
10
00
00
00
10
10
11
10
00
00
00
10
10
01
00
11
00
00
00
00
10
11
00
10
00
00
01
10
10
00
10
00
10
01
10
11
00
11
00
00
11
11
00
01
01
10
01
00
10
00
01
10
01
10
11
10
10
00
10
10
00
10
10
00
10
01
00
10
10
10
00
00
00
10
01
10
10
00
10
00
10
11
11
10
01
00
10
10
10
01
10
10
01
00
11
00
11
01
01
10
10
10
01
10
10
10
01
00
10
10
10
10
00
00
10
11
00
11
00
00
10
10
11
00
00
11
00
00
10
10
00
00
10
10
10
00
00
01
11
10
01
10
00
01
10
00
01
10
10
00
10
11
00
10
10
00
00
01
10
11
00
10
10
00
10
11
10
01
10
10
00
00
11
11
00
00
10
00
10
10
00
00
11
11
10
10
10
10
00
00
11
00
10
00
00
00
10
00
01
11
11
10
01
11
11
00
11
11
00
10
01
00
11
10
00
10
01
10
10
11
11
00
01
00
00
10
11
10
10
00
01
10
00
00
00
11
11
11
11
10
00
11
00
11
01
01
10
11
01
00
01
10
00
00
11
10
00
00
11
11
10
00
00
00
10
01
01
10
00
00
11
10
11
01
10
10
00
11
00
00
10
00
01
00
10
10
10
10
00
00
00
10
10
01
10
10
11
00
01
00
10
01
00
00
10
10
01
00
11
01
10
10
11
11
00
01
00
10
10
00
01
11
10
00
00
10
11
00
11
01
01
10
00
10
00
10
10
11
11
11
00
01
10
01
00
00
11
10
10
01
10
10
00
01
10
10
00
01
00
10
00
10
10
11
00
00
10
00
00
11
10
11
10
00
11
00
00
00
10
11
10
10
11
00
00
10
00
11
10
00
10
01
00
00
00
11
10
01
00
10
00
10
01
10
00
10
11
10
10
00
10
10
11
11
00
10
10
11
00
00
01
00
10
00
11
11
00
11
10
00
01
00
00
10
10
01
10
10
00
00
11
00
10
00
00
11
10
01
00
10
00
11
10
00
10
11
01
10
11
00
01
11
11
00
00
10
10
00
00
11
10
01
01
10
10
00
10
01
00
10
10
00
00
01
01
10
11
00
00
11
10
10
00
00
11
00
01
10
00
10
11
01
11
11
01
01
11
10
10
10
00
00
10
10
00
11
00
10
00
01
10
01
10
00
10
10
00
10
10
00
11
10
00
11
01
00
01
10
10
00
00
10
11
00
01
11
00
01
10
01
11
01
01
10
10
01
10
10
00
00
01
11
10
01
11
00
00
01
10
00
11
10
10
10
10
10
00
10
11
01
00
01
10
11
00
00
11
00
10
01
10
00
01
10
00
10
10
10
10
00
10
11
10
10
10
00
01
00
00
10
11
00
01
01
00
00
01
01
10
11
00
11
11
10
10
00
00
10
00
00
00
10
10
10
01
00
00
01
10
00
11
10
10
10
00
00
01
10
00
11
01
10
10
00
01
01
10
11
10
10
00
00
11
00
00
00
00
10
11
10
00
10
10
01
11
01
00
00
10
00
00
10
10
00
01
11
01
10
10
00
00
00
01
10
11
00
01
10
00
01
10
01
01
10
10
10
11
00
01
10
00
10
10
11
10
10
00
11
11
10
10
00
11
00
01
10
11
01
00
10
11
10
10
10
00
10
11
01
01
11
11
00
00
11
00
00
10
10
01
00
10
11
10
10
01
00
10
00
01
10
00
10
01
10
01
10
10
10
01
10
00
11
10
01
00
10
00
10
10
11
10
00
11
00
01
00
01
10
01
10
00
00
11
00
00
11
10
11
11
11
01
00
10
00
10
10
10
00
00
11
01
00
00
00
01
00
00
00
11
10
10
11
10
10
00
00
00
10
10
00
10
10
00
00
11
10
01
11
00
00
11
10
10
10
10
10
11
00
00
01
01
11
10
01
10
10
01
00
10
10
10
00
10
10
10
11
00
00
00
10
00
10
11
11
00
01
10
01
10
00
01
11
11
11
10
01
10
01
10
10
01
10
00
00
10
10
00
01
10
10
00
00
00
00
10
10
00
10
00
01
10
01
11
01
01
00
01
11
00
10
11
01
00
11
11
00
11
01
10
00
01
11
00
00
10
10
00
00
10
10
00
00
00
01
01
00
10
00
01
00
10
00
00
00
00
11
11
01
11
01
00
00
11
10
01
00
10
10
11
10
10
01
01
00
00
00
10
11
11
10
00
00
11
00
00
00
00
11
11
11
00
10
11
11
11
00
01
10
11
10
10
00
00
11
01
01
10
00
01
00
11
10
01
01
00
00
11
00
10
11
01
10
01
11
10
00
00
00
10
10
01
00
00
10
00
10
10
11
10
10
11
00
10
00
00
10
10
00
00
10
01
10
10
10
10
01
10
00
11
01
00
00
00
00
00
11
11
10
01
00
01
01
10
00
01
10
11
01
00
11
10
00
01
11
11
00
11
10
11
10
00
10
10
01
00
11
00
10
00
10
00
00
01
11
00
01
10
10
10
01
10
11
10
00
01
10
01
01
10
11
11
10
10
10
00
01
10
00
11
11
00
00
11
10
11
00
00
10
01
00
11
00
00
10
10
11
11
00
10
10
01
10
00
10
11
00
00
10
10
01
00
11
10
00
00
01
00
10
10
01
10
00
01
10
10
00
00
10
10
01
11
11
01
01
00
00
00
10
10
01
01
11
10
00
00
11
10
01
00
11
10
10
00
00
10
10
00
11
00
01
01
00
00
00
10
11
10
00
01
00
10
01
00
10
00
10
11
01
01
00
00
10
10
00
10
10
00
10
10
00
01
00
11
00
10
10
10
10
00
10
11
10
01
01
01
00
11
11
00
10
10
00
00
10
00
00
00
10
10
00
10
00
11
10
01
01
10
10
11
10
00
11
10
00
11
10
11
01
01
01
00
10
10
11
00
01
10
10
10
11
10
00
11
00
10
00
00
10
10
11
10
10
00
01
00
10
11
10
00
10
00
01
10
01
11
11
10
00
00
11
00
01
00
11
00
00
01
00
00
10
11
10
00
10
01
00
11
00
01
11
11
10
01
00
11
10
11
00
00
00
10
11
10
10
11
00
00
00
11
01
10
11
00
01
10
00
01
10
10
10
10
11
00
00
00
11
01
00
11
10
00
10
11
10
01
01
10
01
11
00
00
11
11
10
10
11
01
00
10
01
00
00
10
10
11
00
10
10
00
11
00
11
00
00
00
00
10
10
10
00
10
01
10
11
11
10
00
11
00
00
10
10
01
01
10
00
00
11
01
00
00
10
10
10
10
00
00
10
00
00
00
10
11
00
11
01
10
00
00
10
00
01
11
10
11
01
00
10
01
10
10
00
01
10
00
01
11
00
11
10
00
00
00
10
10
10
00
01
10
10
00
10
10
00
10
00
10
11
10
10
10
11
00
00
00
10
10
01
11
01
00
10
00
00
01
00
10
11
00
10
01
00
00
01
00
10
00
00
10
00
11
10
00
01
01
00
11
01
01
10
11
11
00
11
10
11
00
00
00
10
00
01
10
00
00
01
10
00
00
01
10
10
01
10
10
10
11
00
01
00
10
10
01
00
00
11
10
00
00
00
00
00
10
11
10
00
10
10
00
10
11
11
10
01
11
11
11
01
01
10
11
10
00
01
11
00
11
10
00
10
11
00
01
10
00
01
10
10
01
00
10
00
11
00
11
10
01
10
10
01
00
10
00
00
11
10
10
10
00
00
01
10
00
00
10
00
00
00
10
00
10
10
00
01
00
10
10
10
00
10
00
01
11
10
00
01
00
11
11
00
00
00
10
10
11
01
00
01
11
00
11
10
00
10
10
01
01
11
11
00
01
00
11
00
00
10
10
10
00
00
01
00
01
11
00
00
11
11
11
10
00
00
10
00
10
10
01
00
10
00
01
10
10
01
10
11
01
00
11
10
00
00
11
00
10
11
10
00
11
01
00
00
10
10
11
00
10
00
10
10
00
00
10
11
00
01
00
11
10
01
00
00
00
11
00
00
10
11
00
00
00
10
11
01
01
11
10
10
10
00
10
01
01
11
10
00
00
00
10
10
01
01
00
01
01
10
00
00
10
11
11
00
10
01
00
10
00
10
01
10
11
11
10
00
10
01
00
00
01
00
10
11
10
00
00
11
10
01
00
10
11
10
11
00
11
11
10
01
00
10
01
10
10
00
00
11
10
00
01
01
00
10
00
10
01
00
11
00
00
00
00
01
11
10
00
11
01
11
11
00
00
10
00
00
10
11
00
11
10
01
10
00
00
11
00
01
11
01
11
00
11
10
10
00
00
10
10
01
01
10
11
01
10
10
00
11
00
01
10
01
10
01
10
11
10
00
10
11
11
11
11
01
10
10
10
01
01
01
10
10
10
11
11
10
00
00
00
00
11
10
11
00
00
00
11
10
10
00
00
10
11
01
00
00
00
00
00
11
11
10
11
01
01
01
10
00
00
11
00
00
10
10
00
10
01
11
10
00
00
00
11
10
10
00
01
00
00
10
01
00
00
10
00
10
00
00
11
01
00
10
00
10
01
00
10
11
10
01
00
10
10
01
00
00
00
00
11
10
01
10
10
10
01
11
00
10
10
00
00
00
00
10
11
00
11
11
00
00
11
11
01
01
01
11
10
10
00
11
11
11
01
01
10
01
11
11
10
01
00
10
00
01
10
10
00
01
00
10
10
00
10
10
10
11
00
10
10
01
00
10
01
11
00
00
00
01
11
10
11
10
01
10
00
01
10
00
00
00
11
01
00
00
11
10
00
10
01
10
11
00
00
00
00
10
10
10
01
00
10
00
00
10
01
10
11
00
00
10
10
11
00
10
10
11
10
00
00
10
00
00
00
10
11
10
10
00
00
11
10
01
00
00
00
00
01
10
11
00
00
11
10
00
00
10
10
11
10
00
00
11
11
10
10
10
00
01
10
10
11
00
10
11
10
00
00
10
10
00
00
10
00
00
10
10
01
01
10
11
11
01
10
10
10
00
00
11
11
11
00
00
00
00
00
00
10
11
10
00
00
00
10
00
00
01
00
11
10
01
10
10
10
01
00
01
10
00
01
10
00
10
11
10
11
00
00
00
00
00
10
11
00
01
10
01
10
00
10
10
01
00
00
00
11
10
00
00
00
10
00
10
00
01
00
01
10
10
10
10
00
10
11
11
00
01
11
00
00
11
10
00
00
10
01
00
11
11
10
01
10
01
00
00
10
01
10
10
10
00
11
10
10
00
00
10
10
00
10
01
01
00
10
10
10
00
10
11
00
11
00
00
11
10
10
10
10
01
01
00
11
11
10
10
00
11
10
01
11
00
00
10
10
00
11
11
00
11
11
00
11
10
10
10
01
00
01
10
10
10
01
00
01
00
11
10
01
00
11
00
01
00
10
00
01
10
10
01
01
00
10
10
00
00
11
11
01
00
00
10
00
10
10
00
00
10
10
10
11
01
11
00
11
10
01
00
10
10
00
00
10
11
00
00
10
11
10
01
00
11
11
11
00
10
11
01
01
01
10
11
00
00
00
10
11
01
01
10
00
10
10
10
10
01
00
10
00
01
00
01
11
01
00
10
00
00
10
10
10
10
00
11
11
01
10
11
10
10
10
10
10
00
00
10
00
01
10
00
10
00
00
10
00
00
11
00
00
11
11
00
01
00
11
10
01
10
10
00
10
10
01
01
00
00
00
00
11
10
01
10
10
11
00
00
10
10
00
10
10
00
00
10
01
01
00
01
10
01
10
00
01
10
11
00
00
10
01
11
00
10
10
01
00
01
10
10
00
00
11
10
01
00
00
11
01
11
10
11
00
00
00
00
01
01
01
10
00
11
00
00
01
00
11
11
10
11
00
01
01
01
11
01
10
10
10
00
00
11
10
00
00
10
00
00
11
10
11
10
00
00
01
01
10
10
10
11
10
10
00
01
10
00
00
10
11
01
10
10
11
00
00
00
10
00
10
00
11
11
00
10
11
01
00
10
11
10
01
00
10
10
00
00
10
10
00
10
01
10
01
01
10
10
00
10
10
00
00
00
10
10
10
01
01
00
11
10
01
00
00
00
10
10
00
11
10
01
11
00
00
01
00
10
10
00
00
01
10
00
11
10
10
10
00
00
00
10
10
00
00
11
00
01
10
11
10
00
10
00
00
00
10
11
10
00
11
00
00
00
10
11
10
10
00
00
00
00
01
10
11
01
10
01
10
11
00
00
11
10
01
00
01
10
10
00
10
00
01
00
10
10
11
00
00
00
10
11
01
10
10
00
11
01
00
01
10
00
00
00
11
00
00
01
10
10
00
10
10
10
00
01
10
00
01
00
11
10
00
11
10
10
10
00
00
10
00
00
01
00
11
11
00
11
11
11
00
00
11
10
10
01
10
01
00
10
10
01
00
10
11
00
10
11
10
11
01
11
10
00
10
11
11
11
11
00
10
10
00
10
11
00
11
10
00
10
11
10
00
10
10
00
00
00
01
01
00
00
11
00
01
11
10
10
00
01
10
10
10
10
01
10
11
01
10
10
10
10
00
10
10
01
00
01
10
00
10
01
00
10
00
00
10
11
01
00
10
10
10
00
11
00
00
11
11
00
11
00
11
01
10
00
00
11
11
11
11
11
01
00
00
01
10
11
10
01
10
11
00
01
00
11
11
11
00
01
10
10
00
00
10
11
10
10
10
01
11
00
01
00
11
00
10
10
01
01
00
11
10
11
00
10
11
00
01
11
01
01
00
01
10
00
10
00
01
10
11
01
00
01
10
10
01
00
10
00
01
10
10
01
11
10
01
11
10
10
00
01
11
11
00
10
10
10
10
01
00
01
11
01
11
00
00
10
00
00
00
10
10
10
11
10
01
00
00
10
10
11
10
00
00
01
10
10
10
00
00
10
00
11
01
01
00
10
01
00
11
11
00
00
00
10
10
11
00
00
11
00
10
11
00
00
00
10
10
10
11
00
10
11
11
10
11
11
00
00
00
10
00
00
11
11
11
01
01
00
10
11
00
10
11
01
00
01
11
00
10
10
00
10
10
00
10
10
00
11
00
00
01
10
10
00
10
00
11
10
11
11
11
10
10
10
01
10
10
00
00
10
10
00
11
10
01
00
11
10
00
10
00
00
10
00
00
01
00
00
01
00
01
10
01
11
11
00
01
00
10
10
01
00
00
11
11
10
00
10
10
00
11
00
01
01
10
10
10
00
01
00
10
10
10
11
00
01
11
10
00
10
10
11
11
01
10
10
00
10
10
01
01
10
00
00
00
10
00
11
01
00
11
11
10
10
11
00
00
01
10
10
10
11
00
01
11
00
00
10
00
10
10
00
10
11
00
11
10
01
10
10
00
00
00
10
01
00
11
11
00
01
11
01
10
00
00
10
11
01
01
10
10
01
10
00
00
10
10
11
00
10
10
01
00
10
11
10
11
10
01
00
11
00
00
01
10
01
00
00
10
01
10
00
00
10
00
00
10
10
00
10
01
00
01
11
11
00
10
01
11
10
00
10
10
11
01
00
01
00
10
10
10
10
10
01
00
11
00
10
00
11
10
10
10
10
01
10
00
10
10
01
10
10
01
00
10
00
10
10
11
10
00
00
10
01
01
01
01
00
11
11
01
10
00
00
10
10
00
11
10
00
00
11
10
01
01
11
11
10
10
01
10
10
01
11
10
01
01
01
00
10
00
01
00
00
10
10
10
00
10
10
00
00
01
10
00
00
10
01
10
10
00
01
00
00
00
11
01
10
00
10
00
00
11
10
01
01
01
10
00
00
10
11
00
00
00
10
00
01
00
10
10
01
01
10
00
00
10
10
10
01
00
00
10
10
00
00
10
01
01
11
10
01
01
00
00
00
11
10
11
10
00
00
00
10
00
01
10
00
01
10
01
11
10
00
10
11
01
01
10
01
11
00
01
10
11
00
11
10
00
01
10
00
01
11
00
11
11
00
10
00
00
01
00
10
00
00
10
11
00
10
10
00
11
00
01
10
01
10
01
00
10
00
01
00
11
11
01
00
00
00
11
11
00
01
10
00
00
00
10
00
00
10
10
11
10
10
00
00
10
10
01
10
00
00
00
10
00
00
10
00
00
00
10
00
00
00
00
00
10
00
11
10
10
00
01
10
00
10
00
10
01
00
10
10
00
00
00
10
11
01
00
10
10
01
10
00
00
10
01
00
10
11
11
01
01
00
10
00
00
10
01
00
00
10
10
10
11
10
01
10
10
10
00
10
10
00
11
00
10
00
00
00
11
11
00
00
01
11
11
10
10
00
01
00
00
00
10
11
10
00
10
11
00
10
10
11
00
00
11
10
10
10
11
01
00
10
10
00
11
11
00
00
10
01
10
00
10
01
10
00
10
11
11
00
10
10
11
10
10
10
10
00
10
11
10
00
10
11
00
01
00
11
01
10
00
00
00
11
01
11
10
11
00
10
10
00
00
11
10
00
00
00
01
01
00
01
11
00
01
01
10
10
10
00
00
11
10
00
11
10
00
10
01
10
11
00
01
10
01
10
10
10
00
00
01
11
11
00
00
00
11
10
00
00
10
00
00
01
00
01
10
11
10
01
01
10
11
00
01
10
01
00
00
10
11
00
00
00
10
10
00
11
00
00
00
01
11
11
00
00
00
10
10
01
11
11
10
11
10
01
00
11
00
11
00
01
11
10
00
00
10
11
11
00
00
00
10
11
00
10
10
00
10
10
00
00
00
10
10
01
00
11
11
01
01
10
00
10
10
00
01
10
11
00
11
11
00
00
11
01
01
00
01
10
11
00
01
10
11
11
00
00
00
10
11
10
00
00
00
10
00
11
10
10
00
00
10
10
11
10
10
10
00
00
10
00
00
10
10
00
10
01
01
11
00
11
10
10
10
11
10
00
11
00
10
11
00
11
11
01
00
01
00
00
01
11
10
00
00
11
10
00
00
00
01
10
10
10
00
00
00
11
00
01
00
10
10
10
00
10
00
10
10
10
01
01
01
11
10
10
00
10
01
00
10
10
10
11
10
00
01
01
00
11
10
00
10
00
01
00
10
10
10
10
10
10
01
10
11
10
10
01
11
01
00
10
01
00
01
11
10
00
00
00
10
10
01
11
01
01
11
10
10
00
01
11
00
01
10
10
10
11
01
11
11
01
00
00
10
10
00
00
11
10
11
10
11
10
01
01
10
00
01
10
10
01
00
11
11
01
00
00
10
11
01
01
11
10
00
00
00
10
11
11
00
11
00
01
01
10
10
11
00
01
00
11
00
00
00
10
11
01
10
10
11
01
10
01
10
01
00
00
10
11
11
01
10
11
01
01
00
10
01
00
01
10
10
00
10
01
10
10
10
01
00
01
00
00
01
11
00
10
11
00
11
01
11
01
00
01
01
00
10
10
10
00
00
01
10
10
10
00
00
00
00
00
10
10
10
00
00
10
10
10
10
00
11
10
01
11
01
11
01
10
10
00
01
00
00
10
00
00
01
00
11
11
01
01
10
00
10
01
11
00
00
10
11
01
01
00
10
01
00
11
01
10
00
11
00
00
10
10
01
00
10
11
10
10
00
00
00
01
00
10
00
00
01
00
10
01
11
00
11
00
00
00
00
00
10
10
00
00
10
11
10
00
10
11
10
00
10
00
10
10
00
10
10
00
10
00
10
10
11
10
10
00
10
11
00
01
00
11
11
00
10
01
11
11
01
00
00
10
11
11
00
01
11
00
00
11
00
00
00
10
10
00
10
00
01
10
11
00
00
10
10
10
01
10
11
10
10
00
11
10
00
00
00
10
00
10
00
00
11
00
10
00
00
01
11
10
11
00
00
01
11
10
10
00
00
01
01
00
11
11
00
10
01
00
01
10
10
10
00
00
10
00
00
10
11
11
11
10
01
00
10
10
10
11
00
00
10
01
10
00
00
10
00
00
10
00
00
10
10
01
00
00
10
00
11
01
11
00
10
10
00
10
00
11
10
10
00
10
11
01
10
00
10
11
10
00
10
11
01
01
01
11
01
00
00
01
00
10
11
00
01
00
01
10
00
01
10
10
10
10
00
00
10
10
00
01
10
11
00
00
10
01
10
11
10
00
00
01
00
01
01
11
01
00
11
00
00
11
10
00
01
00
01
10
01
10
10
10
00
00
10
11
00
10
10
00
10
01
10
00
00
10
10
01
00
10
00
10
01
00
10
00
01
10
00
01
01
10
10
01
00
11
10
00
00
11
10
00
11
10
10
01
10
00
00
00
10
00
00
01
10
11
11
00
00
00
00
00
00
10
11
10
00
00
01
10
00
01
00
10
11
00
11
00
00
10
10
10
00
00
10
00
11
00
10
01
10
10
11
10
11
11
11
10
11
00
11
10
00
01
00
00
10
10
00
01
10
11
11
11
00
01
11
10
00
00
10
10
00
01
10
11
00
00
11
10
01
00
10
10
10
00
00
01
01
10
00
10
01
00
00
11
10
01
00
10
11
00
11
01
10
10
01
10
10
00
00
10
00
00
10
01
00
10
00
10
10
11
10
00
00
10
00
01
00
10
00
10
01
01
01
01
10
00
11
00
10
01
00
01
11
11
10
11
11
00
00
10
00
00
10
10
00
01
10
11
11
00
01
00
00
00
10
10
00
00
10
10
00
11
00
01
00
00
01
00
10
11
10
00
10
10
01
01
10
10
10
11
00
00
00
10
01
10
11
00
11
10
01
01
10
00
10
11
00
10
10
10
10
10
00
00
10
11
00
01
10
01
10
11
10
01
10
10
10
00
11
10
01
00
10
00
01
01
10
10
10
01
00
00
10
00
10
00
00
10
10
01
00
00
00
10
10
10
01
11
11
00
11
01
01
01
10
11
01
00
01
01
10
10
00
11
00
00
01
10
10
00
10
00
00
00
10
00
10
10
00
11
11
11
11
00
01
11
00
10
01
01
11
00
00
10
10
11
00
00
10
11
10
10
10
00
01
01
11
00
11
00
10
00
00
11
00
11
11
01
11
10
00
10
00
00
10
01
00
10
10
10
00
11
10
00
00
10
10
01
11
00
01
00
00
00
01
10
00
10
10
00
00
11
00
00
11
11
10
10
11
00
01
11
00
01
10
11
01
00
01
10
10
00
00
10
11
00
00
00
10
01
00
10
10
11
00
00
01
01
10
11
00
00
10
01
10
10
00
00
10
00
10
11
01
01
10
10
10
10
00
00
11
10
10
10
00
00
10
00
00
01
10
00
10
11
10
10
00
10
10
10
10
00
01
00
11
11
10
01
10
00
11
10
00
10
10
10
00
10
10
01
01
00
00
10
11
10
00
01
00
00
10
00
10
00
11
10
11
11
00
10
11
01
11
11
01
11
10
01
00
01
10
01
11
10
00
10
00
00
11
10
00
01
00
10
11
00
10
00
01
01
01
10
10
01
00
00
10
10
00
10
00
00
00
00
01
11
01
00
00
01
00
10
10
10
00
00
10
11
01
00
10
10
10
11
00
10
00
00
00
11
01
01
01
11
10
00
10
11
00
00
11
10
00
00
00
00
00
11
10
10
00
00
10
00
00
10
10
00
10
01
00
00
10
01
11
11
10
01
00
10
00
00
01
10
10
10
10
01
11
10
00
11
10
10
00
11
00
01
00
01
11
10
11
00
10
11
00
00
10
11
00
11
10
10
01
00
01
00
10
10
01
00
10
11
00
00
10
00
10
00
00
00
10
00
10
00
11
00
00
01
10
11
11
01
01
01
11
10
11
01
10
11
10
00
00
00
01
00
01
10
00
10
01
01
11
01
01
00
10
10
10
10
00
00
10
10
10
11
10
10
01
10
00
10
10
00
11
10
10
11
11
10
10
10
10
00
10
10
01
01
00
10
11
10
01
01
11
10
00
10
00
01
10
01
00
11
00
10
10
10
00
11
00
01
10
10
00
11
00
00
11
10
11
00
10
10
10
01
10
10
00
10
01
00
10
01
00
01
00
00
10
10
01
00
11
10
11
11
00
00
01
10
10
10
00
11
00
00
10
10
10
10
11
01
00
10
01
11
10
00
00
10
00
11
10
01
10
10
11
10
11
00
00
11
10
01
10
01
00
11
10
00
01
11
10
01
10
10
10
11
10
11
00
01
10
10
01
10
01
00
10
10
01
00
10
10
10
01
00
01
10
00
01
00
10
10
10
00
10
00
00
10
10
10
00
11
10
00
00
00
00
00
00
10
10
00
00
10
10
10
11
11
11
00
11
11
00
10
10
00
00
10
00
11
10
00
10
10
10
11
10
01
00
10
10
11
00
01
01
11
00
00
10
10
11
00
11
10
10
01
10
10
00
10
10
11
00
11
00
00
10
00
01
11
10
00
10
10
10
00
00
10
11
00
00
00
00
01
00
00
10
00
01
11
10
10
00
01
01
10
10
11
01
01
11
00
01
00
10
00
10
11
10
11
00
01
10
10
10
01
00
11
00
00
01
10
01
11
11
00
00
10
10
10
11
10
00
00
11
01
00
11
10
00
11
01
00
11
00
00
10
00
00
10
10
01
00
01
01
00
00
00
11
11
00
00
10
00
00
01
10
00
10
10
10
00
11
10
11
10
00
10
10
01
01
01
00
00
10
10
11
00
10
10
10
00
11
10
10
00
00
11
10
00
10
10
10
00
11
01
00
10
00
00
00
10
01
10
00
01
10
00
01
01
11
10
01
01
11
10
10
10
00
00
10
00
00
10
10
00
10
01
00
10
10
10
00
10
00
01
00
00
10
11
00
10
01
11
10
01
10
01
10
10
00
11
10
00
10
00
01
01
11
10
10
00
01
00
10
00
00
00
10
00
01
01
11
00
00
10
11
00
00
11
00
00
00
10
11
10
01
01
01
10
00
00
10
01
00
00
10
00
11
00
01
00
10
00
00
10
11
00
10
00
00
10
00
10
00
10
11
10
01
00
00
01
11
10
00
10
01
00
00
10
10
10
10
11
11
01
10
10
01
01
00
10
00
01
10
10
01
01
00
00
01
10
00
00
10
00
00
00
01
10
10
10
11
00
11
11
10
01
10
11
10
11
00
00
10
01
00
10
00
00
01
01
10
01
00
10
10
11
10
00
00
10
11
01
10
00
00
10
00
11
10
00
10
10
00
01
10
00
01
10
10
10
00
11
00
11
10
11
00
00
10
10
11
10
00
00
10
00
10
10
01
10
00
10
00
01
01
00
10
00
00
00
00
11
10
10
00
11
11
01
00
11
10
00
00
01
10
10
10
00
00
10
11
01
11
01
01
00
11
11
00
10
10
00
10
00
00
10
10
11
00
00
11
00
01
00
01
01
01
11
10
10
00
01
00
10
11
00
01
01
11
00
00
10
10
11
01
10
11
01
10
10
00
00
10
11
01
00
10
00
10
10
11
10
10
00
00
00
00
10
10
00
11
00
00
10
10
10
00
01
11
00
10
10
10
00
01
00
11
10
11
11
10
00
00
01
10
00
00
10
10
10
00
00
10
11
01
01
01
00
11
10
01
01
00
11
10
01
10
00
11
11
00
11
11
00
00
11
10
00
00
10
10
00
10
00
00
01
10
01
11
10
11
00
01
00
00
10
10
11
11
00
00
10
00
10
10
00
11
10
10
10
00
11
11
00
00
10
01
00
10
00
00
11
10
11
00
10
01
11
01
10
10
00
00
10
10
01
00
10
00
00
00
10
10
10
11
00
01
00
11
01
10
00
10
01
00
00
10
11
00
11
10
11
01
00
00
10
01
00
10
10
00
11
11
01
10
10
10
00
00
01
00
00
11
00
10
00
00
11
11
01
00
11
01
10
10
01
10
11
00
00
00
11
10
00
11
11
11
10
00
10
01
01
10
01
11
10
10
01
10
10
11
00
00
10
00
10
10
00
00
00
10
10
10
00
10
10
01
00
00
01
00
01
10
10
01
00
00
10
10
01
00
00
10
00
00
10
11
01
11
11
00
10
10
10
01
00
10
10
01
01
11
10
11
00
10
01
11
11
10
10
00
00
01
00
00
00
10
10
01
01
00
00
10
10
11
10
11
00
00
00
00
10
10
10
10
10
11
01
11
10
10
00
01
10
11
10
00
11
00
10
10
01
11
00
01
10
11
00
10
01
10
00
10
11
01
11
10
01
11
10
10
11
01
10
01
00
10
00
00
10
10
00
00
00
11
11
10
00
11
10
01
00
00
00
10
10
11
10
00
10
11
00
00
10
01
00
10
10
10
01
10
00
01
10
01
01
11
11
11
00
00
10
10
00
11
10
00
10
10
01
10
10
00
00
11
01
11
10
10
01
01
00
11
10
00
10
10
01
00
11
11
10
10
00
11
10
11
01
11
00
00
00
10
00
00
00
10
10
10
10
10
11
00
00
10
01
00
01
10
00
10
11
10
00
00
10
01
10
01
10
00
11
00
01
11
00
10
00
10
01
01
10
10
11
00
10
01
01
10
11
10
00
11
00
00
00
10
00
10
01
11
11
00
10
00
11
10
10
00
01
00
10
00
01
10
11
10
11
00
01
11
00
01
10
10
00
01
00
00
10
10
10
11
00
00
00
11
00
00
11
11
10
11
00
00
01
00
00
10
10
10
11
00
10
01
10
00
00
10
01
01
10
11
00
01
11
00
10
10
01
11
00
00
10
10
00
00
11
11
11
01
00
00
00
10
00
00
01
10
10
00
00
10
11
00
00
00
01
10
00
11
00
11
10
11
00
10
00
01
11
10
11
00
00
10
00
01
10
10
00
00
10
11
01
01
01
11
10
10
00
01
01
10
10
00
01
10
00
10
10
10
00
10
01
01
10
01
10
00
10
10
00
00
10
10
11
00
00
01
00
00
00
00
10
10
10
10
00
00
10
00
10
00
11
10
00
01
01
11
00
01
10
01
00
00
00
10
00
00
00
10
00
01
00
11
00
00
00
01
11
10
10
10
10
00
11
10
00
00
11
00
01
10
01
10
10
11
00
10
10
10
00
10
01
00
00
00
10
10
11
10
00
00
00
01
10
10
01
10
01
10
01
01
00
10
10
10
00
10
10
00
10
00
01
00
11
00
10
10
00
10
11
10
00
00
00
10
00
10
10
10
00
01
01
00
10
00
01
11
00
00
01
11
10
01
11
10
00
00
01
00
00
10
10
01
10
01
10
11
00
00
10
00
00
11
10
11
00
01
00
00
10
00
10
00
01
10
11
01
11
00
10
00
10
00
01
10
10
01
10
00
11
10
11
11
11
10
10
10
10
10
11
01
00
10
11
00
00
11
10
00
00
01
11
00
00
00
01
10
00
10
01
00
10
01
01
01
11
11
00
10
11
01
10
00
00
10
10
10
00
10
10
10
10
01
00
10
11
11
11
00
11
10
10
00
10
00
00
11
10
11
11
00
01
11
00
00
00
10
11
00
01
10
00
10
00
01
11
11
00
00
00
11
10
01
00
10
11
01
01
10
00
10
10
11
00
00
10
11
00
11
10
00
01
10
10
10
00
00
10
10
10
00
00
00
11
00
10
10
11
00
11
10
00
00
01
10
01
10
10
01
10
01
10
10
01
10
11
00
10
10
00
00
00
10
10
00
10
00
10
10
10
10
10
11
01
10
10
11
10
10
01
00
00
10
10
10
00
01
10
10
11
00
01
10
10
10
00
11
10
11
01
00
11
01
00
00
10
11
00
11
11
11
00
00
10
00
10
11
10
11
10
01
00
11
10
00
00
00
01
11
00
11
00
10
01
10
00
01
10
11
01
11
10
00
10
10
11
00
00
00
00
10
11
11
00
00
00
00
10
10
11
10
11
01
11
10
00
11
10
11
00
11
10
01
10
10
10
01
10
11
00
11
11
01
01
00
10
10
00
10
01
01
11
10
10
00
01
01
10
00
00
10
10
10
01
10
11
00
01
10
01
11
11
11
00
01
10
11
11
01
11
11
10
11
00
00
11
10
00
00
10
11
01
00
11
00
10
01
10
10
10
10
00
10
10
11
10
00
11
01
10
10
00
00
00
00
01
10
10
01
10
00
11
01
00
11
11
00
00
11
10
11
00
10
10
10
00
00
00
10
10
00
10
10
00
10
10
00
00
00
11
01
10
10
10
10
01
10
10
00
00
00
00
10
11
01
11
10
10
11
00
10
01
00
10
10
00
10
00
10
10
10
01
11
00
00
10
10
00
00
10
10
10
11
10
10
00
01
00
00
10
11
00
00
10
00
11
11
00
00
00
00
00
01
00
10
10
01
10
10
10
00
00
11
10
11
11
00
00
10
11
00
10
11
01
00
00
00
10
00
10
10
00
00
10
01
01
11
10
00
10
00
00
10
10
00
10
01
11
11
01
00
00
10
10
01
00
00
11
10
00
00
10
11
10
00
00
10
00
00
00
11
00
00
10
10
10
11
10
11
00
01
11
01
01
01
10
10
00
11
11
00
01
10
11
00
01
00
00
10
11
00
01
10
00
11
10
10
10
10
00
00
10
00
10
10
01
10
11
01
01
11
10
10
01
10
10
10
10
00
00
00
01
00
10
10
10
00
00
11
11
00
11
10
11
10
01
10
11
00
00
01
10
11
00
10
10
10
00
00
00
10
11
01
01
11
01
00
00
11
01
10
11
00
00
01
11
01
10
00
00
11
00
01
10
11
10
10
01
00
00
10
10
00
11
00
10
10
00
10
10
00
00
10
01
00
10
10
00
00
11
10
00
00
11
00
00
01
11
10
11
10
00
10
10
01
00
10
10
10
10
10
01
10
00
10
00
11
10
01
10
01
10
01
01
00
00
11
10
01
10
11
10
00
11
10
01
00
00
11
00
00
11
00
10
11
10
01
00
11
01
11
10
10
11
00
00
11
01
00
11
10
11
10
11
10
00
10
00
10
00
00
10
11
00
10
11
01
00
10
10
00
00
10
01
10
10
01
00
10
01
00
10
10
11
00
00
11
11
11
11
10
00
10
10
00
01
10
10
01
00
00
00
10
10
11
00
00
01
00
11
00
10
11
10
00
01
10
00
00
00
01
01
10
10
10
11
10
10
01
00
11
10
00
10
00
01
00
10
10
10
10
00
11
10
01
10
10
11
10
00
10
01
00
01
00
11
10
00
01
00
10
10
11
00
11
10
10
01
00
11
11
01
00
00
01
00
10
10
00
01
11
00
11
00
11
11
01
10
10
00
01
10
11
10
00
00
10
10
00
10
10
10
10
00
01
01
11
10
11
10
11
01
00
00
10
10
00
10
10
00
01
10
10
10
01
00
00
00
10
10
00
00
11
11
10
11
00
11
10
11
00
01
10
00
00
10
10
01
10
10
10
11
00
11
00
00
00
00
10
10
10
00
10
10
00
11
01
10
11
10
01
01
00
10
11
10
11
10
01
01
10
01
00
10
10
10
00
01
00
10
00
00
10
01
00
11
10
00
01
00
10
00
10
10
00
10
10
11
10
00
00
10
01
01
11
11
11
01
01
10
11
11
01
00
10
00
00
10
10
11
00
00
10
00
10
11
00
00
10
00
10
10
10
00
00
00
10
10
10
00
01
11
01
10
10
00
11
10
00
00
10
10
10
10
00
01
11
10
00
01
10
10
10
10
00
10
00
00
00
11
10
01
10
01
01
10
01
00
10
10
00
01
00
00
11
00
10
10
10
00
10
01
01
00
01
00
10
01
00
00
10
10
10
10
11
01
01
01
01
00
10
10
10
01
00
10
00
10
00
11
11
10
01
01
01
00
00
10
10
01
01
01
01
11
11
10
01
10
00
00
10
10
00
01
11
00
01
10
01
00
01
11
00
00
01
10
10
10
11
00
10
01
00
11
10
01
00
10
00
00
11
10
01
00
00
10
10
11
11
10
11
01
01
10
10
00
11
01
01
11
10
01
00
11
01
10
10
00
00
10
01
10
10
00
00
00
00
11
00
11
00
01
00
11
10
00
00
00
00
10
10
01
01
10
00
11
01
00
00
10
11
00
01
10
01
01
10
00
11
11
10
00
01
10
11
01
00
00
10
10
10
10
00
00
00
00
11
10
10
00
00
11
10
10
11
11
01
10
10
00
10
10
00
00
00
01
10
11
10
10
10
11
00
11
10
00
10
00
01
00
01
10
10
10
01
10
00
10
10
11
10
00
11
11
10
11
10
10
10
01
01
11
00
00
00
00
01
10
10
00
10
10
00
01
10
10
10
00
01
10
00
00
10
00
10
11
11
00
10
10
10
00
11
10
10
00
00
10
00
10
11
00
01
01
10
00
11
01
01
10
00
00
11
10
00
00
11
11
10
00
00
10
01
00
10
11
11
00
10
11
00
10
10
11
00
10
01
00
10
10
01
10
00
10
10
11
00
00
11
00
11
01
10
11
00
00
00
00
11
10
10
00
11
11
00
10
10
00
01
10
00
10
10
00
01
11
11
10
11
01
10
00
00
00
11
10
10
01
00
00
10
10
00
01
10
11
00
00
01
00
10
10
01
11
11
10
10
00
01
01
11
10
00
11
10
00
00
00
10
10
00
01
01
01
00
10
10
00
10
10
01
00
11
11
01
10
10
00
00
01
10
01
01
10
11
11
10
00
00
00
10
00
10
00
11
00
00
11
10
11
00
00
01
10
00
11
01
01
00
00
10
01
00
11
10
01
01
10
00
00
10
11
10
00
11
10
11
10
01
00
11
11
10
10
00
01
10
00
10
10
00
00
00
10
10
11
11
10
11
01
00
00
11
01
00
01
10
10
10
00
00
11
00
01
01
00
01
10
01
11
00
10
11
10
00
10
11
00
00
11
10
10
11
11
00
00
10
01
10
00
10
01
01
10
10
10
00
10
00
00
11
10
10
00
01
10
00
01
10
01
00
00
00
10
11
00
00
11
10
01
00
00
00
10
01
11
10
10
00
10
10
00
00
10
11
01
11
00
01
00
11
11
10
01
00
11
10
11
00
11
10
00
10
11
10
00
00
10
10
10
10
01
10
10
10
10
01
11
10
00
11
00
10
00
01
10
11
00
10
11
00
00
01
00
10
10
00
00
00
10
00
11
10
10
00
10
10
01
00
10
00
10
00
00
10
10
10
01
10
01
00
11
00
01
10
10
10
00
00
11
11
00
00
10
01
11
00
00
11
11
00
10
00
10
10
11
10
10
01
00
00
10
00
10
10
00
10
11
11
00
00
00
11
00
11
10
10
11
01
10
00
00
10
10
01
00
01
00
00
10
11
10
11
00
00
11
00
01
00
10
10
10
11
01
00
11
00
10
00
00
11
00
00
10
00
10
11
00
10
00
00
00
00
10
01
01
10
11
01
00
00
11
00
00
10
10
00
00
10
01
00
10
10
00
10
11
00
11
01
11
00
00
11
10
10
01
00
10
11
01
11
00
10
10
00
11
01
00
11
11
01
11
10
00
01
11
10
00
11
11
11
10
01
10
10
10
01
00
10
00
00
10
00
00
00
10
10
11
10
00
00
10
10
10
01
00
11
10
01
00
11
01
01
01
11
01
01
10
11
10
00
01
10
11
00
10
10
00
01
00
00
10
10
10
00
10
10
00
00
01
00
11
00
00
10
01
11
11
11
01
00
10
10
10
00
01
11
10
00
10
10
10
00
10
10
00
00
10
00
00
01
00
11
11
11
11
10
01
01
10
11
00
01
10
10
00
00
00
10
00
01
00
00
11
10
01
00
10
11
00
11
11
00
01
00
00
10
00
00
11
00
01
10
00
10
00
00
10
11
00
01
01
11
10
00
00
00
10
10
11
01
00
01
01
10
10
10
11
11
10
00
00
00
00
00
10
00
10
10
00
11
11
11
00
10
11
10
11
11
11
00
00
10
00
11
10
01
01
10
01
00
00
10
11
00
00
10
00
11
01
10
11
10
10
11
00
01
00
00
11
10
10
10
00
01
00
10
11
10
01
00
10
10
10
10
10
00
01
00
00
10
10
11
00
00
00
11
10
00
00
10
10
10
11
00
10
00
01
10
10
00
10
11
10
00
01
00
00
00
00
10
11
00
01
10
10
00
10
10
00
00
11
10
00
00
01
00
01
10
10
11
10
00
00
11
00
01
10
00
01
10
00
00
00
10
10
10
11
01
00
11
10
11
10
01
00
00
00
00
10
10
00
01
11
10
00
11
01
11
00
11
01
00
00
01
10
01
10
10
00
01
00
10
10
01
00
10
00
00
00
10
01
10
00
10
11
11
00
01
10
11
01
01
00
11
00
00
00
00
10
00
10
10
10
11
10
10
10
00
11
00
00
10
11
10
10
11
00
01
00
00
00
11
11
00
11
01
00
00
00
10
01
00
10
00
10
01
11
10
01
00
00
10
11
10
10
11
01
10
10
11
01
11
01
00
10
10
10
00
01
10
10
00
10
10
00
10
10
00
10
11
00
11
00
00
00
00
10
00
00
11
10
10
00
00
11
00
11
11
00
10
10
00
10
00
01
10
11
01
01
01
10
00
11
10
10
10
01
00
10
11
00
01
10
11
01
00
00
10
00
00
10
10
00
10
00
00
11
10
00
11
11
10
10
00
11
11
00
10
00
00
00
11
11
10
01
00
00
10
01
01
10
10
10
10
11
01
00
10
10
10
01
10
10
00
11
00
10
00
00
10
11
11
11
01
00
01
11
10
01
00
00
10
11
00
01
00
10
10
00
01
00
00
10
11
00
00
11
01
01
01
10
00
11
00
01
10
11
10
01
01
11
10
00
10
11
01
00
10
00
11
11
00
10
10
01
10
00
11
11
01
01
10
01
01
10
11
00
00
10
00
00
00
10
10
01
10
10
01
00
10
10
01
00
10
11
10
11
10
11
10
10
00
10
10
00
00
10
00
11
01
11
01
10
00
01
00
10
10
00
10
10
00
11
00
10
10
00
00
00
10
10
00
10
00
01
10
10
10
11
00
10
10
00
11
00
11
11
10
10
10
10
11
11
00
00
10
10
00
00
01
11
11
00
01
10
11
10
10
10
00
00
10
00
10
00
00
11
10
00
11
00
00
11
01
10
00
00
00
10
10
00
10
11
01
00
11
11
10
00
00
00
11
10
00
11
11
01
01
10
10
00
11
00
00
10
11
11
01
00
00
01
10
10
01
01
10
00
00
00
00
10
10
01
10
10
01
10
01
00
01
00
01
10
00
00
00
10
11
00
10
00
00
00
00
01
01
01
00
10
10
10
01
01
10
00
10
00
01
00
10
10
11
11
00
00
00
10
10
00
10
10
00
10
11
00
11
11
00
00
10
11
01
10
11
10
11
01
10
00
11
00
01
11
11
10
10
00
10
11
00
01
00
10
10
01
01
10
11
00
00
00
01
00
00
10
11
00
10
00
00
10
00
11
00
11
10
11
10
00
00
01
01
10
11
01
11
00
01
10
01
10
01
10
10
10
01
00
11
10
00
01
11
10
00
00
11
00
10
11
01
00
10
10
01
00
10
00
10
00
10
00
01
10
10
01
01
00
10
10
00
10
10
01
10
00
00
00
11
01
00
10
11
01
11
01
00
10
00
00
00
11
10
01
10
00
00
00
00
10
10
00
00
10
01
10
00
11
11
00
11
11
10
00
00
10
00
00
10
10
10
10
00
00
10
00
11
10
00
10
00
01
00
00
11
00
00
10
11
00
01
00
10
10
11
10
10
10
11
00
00
00
10
10
00
01
10
00
00
10
10
01
10
00
01
10
11
11
10
01
11
00
00
00
11
10
11
01
11
01
10
10
01
00
01
11
10
00
00
10
00
00
00
10
11
00
10
01
11
10
01
00
11
00
11
00
10
00
00
11
00
00
10
01
10
01
11
10
11
01
10
00
11
10
00
00
10
00
00
10
10
10
00
11
00
11
10
00
11
10
01
10
01
00
01
10
11
10
00
01
10
10
00
00
10
10
00
10
10
10
10
10
11
10
10
00
10
00
00
01
10
10
10
10
00
00
00
11
00
11
11
00
10
10
00
10
10
00
00
11
00
00
01
10
00
00
10
11
00
01
00
00
10
10
00
10
10
00
01
11
11
00
11
10
00
01
10
11
01
00
10
10
01
01
01
01
01
00
00
10
11
11
00
10
10
11
11
01
01
00
00
00
11
11
00
00
11
10
10
10
00
10
00
10
00
00
10
10
11
11
10
00
01
01
11
00
01
10
00
00
10
00
01
10
00
11
11
01
11
00
01
11
01
01
10
10
00
01
01
10
11
00
00
00
01
10
00
01
11
00
10
00
00
10
10
10
00
10
01
01
11
10
10
11
00
10
00
00
10
01
00
11
11
00
00
00
10
11
10
01
00
01
11
11
10
00
10
11
00
00
00
10
10
01
01
01
11
00
10
10
00
01
10
11
01
01
01
10
10
10
01
10
01
00
10
00
10
00
00
10
10
10
00
11
01
01
00
11
00
00
11
10
10
00
00
10
11
00
00
00
00
11
00
10
10
11
00
00
01
10
00
01
10
00
10
11
10
00
01
11
10
10
01
11
10
00
00
01
10
01
11
10
11
00
00
11
10
01
11
10
00
00
00
00
00
11
10
01
00
11
00
10
10
01
10
10
00
01
01
10
10
10
00
00
00
00
10
01
00
11
01
01
00
10
10
10
00
01
10
01
01
01
10
10
00
01
10
01
01
11
11
01
00
11
10
00
10
10
00
10
10
00
00
00
00
00
11
01
10
10
00
10
00
00
10
10
01
00
01
01
01
00
10
00
10
10
00
10
00
01
00
00
11
01
10
10
00
10
00
11
00
00
10
10
10
01
00
11
11
11
00
11
00
11
11
01
00
11
10
01
00
11
00
10
10
01
10
11
00
01
00
00
00
10
00
01
01
10
00
00
01
00
11
00
11
11
10
10
00
01
10
01
10
01
00
00
10
00
00
10
01
00
11
10
00
10
10
10
00
00
11
11
00
00
00
10
00
00
10
10
00
10
00
10
11
10
00
00
01
00
01
01
10
01
11
11
00
01
10
11
11
00
00
10
11
01
11
11
10
10
00
10
10
11
00
10
10
01
10
00
00
00
01
10
00
10
10
10
10
00
00
10
10
11
00
00
10
00
01
00
00
11
11
01
00
00
00
00
10
01
10
10
11
00
00
00
00
01
10
00
00
10
10
00
10
01
00
00
10
10
00
01
00
00
00
10
00
10
10
10
11
00
10
11
01
11
11
10
00
00
10
11
11
00
01
10
10
10
01
01
11
10
00
10
10
10
01
00
10
00
01
00
00
11
10
01
00
00
10
01
00
10
00
01
10
00
11
00
10
00
11
00
11
10
11
10
01
00
00
01
10
11
00
01
10
11
10
00
10
10
11
01
00
11
00
00
00
10
10
10
10
00
01
00
00
11
10
11
00
10
10
01
10
00
00
10
10
10
00
11
10
10
10
01
10
00
11
00
01
10
10
00
11
00
10
00
00
10
10
11
01
00
00
10
11
00
01
11
10
00
01
10
00
00
10
10
11
00
00
10
10
11
00
10
10
00
10
10
00
01
10
10
01
00
01
01
10
10
11
01
10
10
01
00
10
11
01
01
01
11
00
11
10
00
10
10
01
10
11
00
10
11
00
01
00
11
00
10
11
10
01
00
00
11
10
00
00
00
10
11
11
10
11
11
00
00
00
10
10
00
00
01
00
11
10
01
00
10
00
11
00
00
10
10
10
10
01
00
10
10
01
00
00
10
11
11
00
10
10
00
01
00
00
00
10
10
10
00
10
00
01
11
00
01
11
00
01
10
11
01
10
11
00
00
11
00
01
11
11
10
10
01
01
10
10
00
01
00
00
10
10
10
00
00
00
10
10
11
00
11
10
01
01
01
01
10
01
00
11
10
01
11
10
10
00
10
10
10
10
00
00
10
10
10
01
00
00
01
10
10
10
10
10
00
00
10
01
01
10
10
00
10
01
00
10
00
01
10
10
00
10
10
10
01
00
01
10
10
01
01
01
00
00
00
11
01
10
11
00
10
11
01
01
10
10
00
00
11
00
10
11
00
00
10
10
01
10
10
11
00
11
01
00
10
10
10
00
11
00
00
10
00
01
00
10
10
10
00
11
01
01
01
11
00
00
10
10
00
10
10
00
01
10
01
10
01
00
00
10
11
10
00
01
00
01
00
11
10
00
01
10
10
11
11
11
00
01
11
10
10
00
00
00
11
10
00
10
11
10
01
10
10
01
01
00
00
01
10
10
00
11
10
11
00
10
01
11
00
10
10
01
11
00
10
10
01
00
00
00
11
00
00
11
01
11
11
01
00
01
00
10
10
10
00
00
01
10
00
10
01
01
00
10
10
11
11
11
10
01
00
01
10
00
10
10
00
00
11
11
00
10
10
01
01
00
00
10
10
00
11
01
00
01
00
10
10
00
11
10
01
01
10
11
10
11
10
00
01
01
10
00
00
10
11
11
10
10
00
00
10
00
00
01
11
10
00
10
10
10
01
11
11
00
01
00
00
11
10
11
10
11
00
00
10
00
00
10
00
10
01
00
11
11
11
01
10
10
01
00
11
00
00
10
01
01
00
01
10
10
00
10
01
00
10
10
11
10
00
11
10
00
10
01
10
11
11
00
01
00
11
00
00
11
10
10
01
00
10
01
01
00
10
10
10
11
10
00
00
10
01
10
10
00
00
01
10
01
00
11
10
01
00
10
10
11
10
10
10
00
01
11
10
00
11
00
11
10
01
01
10
10
10
00
00
00
10
01
00
11
11
10
10
10
00
01
00
11
00
00
10
00
00
11
01
11
11
00
00
11
11
11
10
00
01
00
00
10
00
11
11
01
01
10
00
00
10
00
00
00
11
10
00
11
00
11
10
01
10
10
10
11
10
00
11
00
01
01
00
11
11
00
10
00
00
01
10
11
10
10
00
11
10
00
10
11
00
10
01
10
11
11
10
00
10
10
10
10
00
01
01
10
10
00
11
10
10
10
00
11
00
10
10
11
00
01
00
10
11
01
11
11
10
00
10
00
01
10
11
01
10
00
00
10
01
10
10
01
01
10
00
00
10
01
00
01
11
10
00
00
10
10
00
00
00
00
01
10
10
00
00
00
11
10
10
11
11
10
00
10
00
00
00
00
10
10
00
00
01
00
01
11
00
10
11
10
00
01
00
01
01
00
11
10
01
10
01
01
00
11
10
11
10
00
01
00
00
10
00
10
10
00
11
10
01
11
01
00
10
01
10
10
00
10
10
00
00
00
10
00
10
11
10
11
00
00
10
11
00
00
00
10
10
11
11
00
11
10
11
00
01
10
10
00
01
10
11
10
00
11
10
00
00
10
10
10
10
00
00
11
00
10
10
01
00
00
11
11
10
01
00
00
01
00
11
11
11
10
11
00
01
00
10
00
00
10
10
00
11
01
00
10
00
11
10
10
00
00
01
00
00
00
00
00
01
01
00
10
10
01
10
10
00
10
11
00
00
11
10
11
00
01
11
10
11
00
00
11
00
01
10
00
00
10
10
00
01
10
11
00
01
01
10
10
00
11
11
10
00
00
00
00
11
10
11
10
11
01
01
10
01
01
00
00
11
10
11
10
00
01
01
00
01
10
11
00
10
10
00
00
10
00
01
01
10
00
00
00
10
11
00
01
00
10
00
00
10
11
00
10
01
01
11
10
11
01
00
10
11
10
00
01
00
00
10
10
10
10
00
00
10
00
10
11
00
00
10
00
00
10
10
11
01
11
10
10
00
00
10
10
00
00
10
00
01
00
00
00
11
00
11
01
01
00
10
10
00
10
10
11
10
11
10
00
01
10
10
10
00
00
01
00
10
10
10
10
11
00
00
00
01
11
10
10
01
10
00
00
00
10
00
10
01
01
10
10
11
11
10
11
01
00
01
11
11
00
00
11
10
00
00
11
10
10
01
10
11
00
01
11
00
00
10
10
00
10
11
01
00
00
11
10
11
00
11
00
01
00
10
11
11
00
00
00
11
00
11
10
11
00
00
11
00
10
00
01
10
10
10
00
10
01
11
01
10
10
00
10
11
00
00
10
00
00
10
00
00
10
10
00
00
11
10
00
01
10
11
10
11
11
11
00
10
01
00
01
00
10
10
10
00
10
00
00
01
01
00
00
10
01
11
01
10
10
01
10
10
00
00
10
11
00
11
00
10
00
01
10
01
10
00
10
01
00
11
10
00
11
10
00
00
10
00
10
00
10
00
10
10
10
00
10
10
01
01
00
10
01
10
01
00
11
10
01
10
00
01
11
00
01
00
10
10
01
00
10
10
01
00
10
11
01
01
11
10
11
00
01
00
01
10
10
10
01
10
11
01
11
00
00
00
10
10
00
10
10
00
01
00
11
01
10
10
00
00
00
10
10
11
00
01
10
10
11
10
00
01
10
10
10
10
10
01
10
10
00
00
11
10
10
01
10
11
00
01
00
10
11
10
11
00
11
00
10
10
11
11
00
01
10
11
11
00
10
11
00
00
01
10
10
10
10
10
00
00
00
00
10
00
11
00
00
10
01
10
00
00
00
11
11
00
00
10
00
01
00
00
10
11
00
00
01
00
10
10
01
10
01
01
10
00
10
01
10
01
00
00
00
11
00
00
01
10
10
11
11
00
00
00
01
01
10
11
11
10
00
10
10
01
10
00
00
10
01
10
10
10
10
01
00
00
00
00
00
00
00
10
01
00
11
00
01
00
10
11
10
00
00
00
00
00
01
10
00
10
01
00
01
01
00
10
10
01
10
10
10
01
00
10
10
11
00
00
00
10
11
11
10
01
00
10
01
00
00
11
11
01
11
11
01
00
11
10
10
11
01
00
10
11
10
00
11
10
00
01
10
11
00
00
11
01
00
10
10
01
00
11
01
00
10
11
01
10
01
01
10
11
01
10
11
00
01
11
10
00
00
11
10
10
10
00
11
00
00
01
11
10
00
10
11
00
00
10
11
01
10
00
00
10
00
00
11
10
01
01
01
10
01
00
10
00
10
00
00
10
11
00
10
00
10
10
10
10
00
00
00
00
00
10
10
00
00
11
01
00
01
01
10
11
01
10
01
10
11
00
11
11
00
10
01
01
10
01
10
01
00
11
10
00
00
10
11
11
00
01
00
11
00
10
00
00
10
11
00
01
10
10
00
01
11
00
11
11
11
00
01
10
01
01
11
00
00
00
10
01
00
10
11
10
00
10
01
00
00
00
01
11
00
00
10
10
00
10
00
00
00
00
11
10
01
00
01
11
00
10
00
10
10
00
11
01
01
01
11
10
10
00
00
10
10
01
10
10
00
00
10
00
01
11
01
00
00
00
10
01
00
11
10
01
00
11
00
00
10
11
11
01
00
00
10
10
01
10
10
10
01
00
01
00
00
00
01
10
01
00
00
11
10
00
10
10
10
00
00
10
10
00
10
10
10
00
10
10
00
01
11
10
01
00
10
11
00
10
00
01
00
00
10
10
00
00
10
01
00
10
00
10
10
00
10
10
00
00
10
10
11
00
00
10
00
00
10
00
10
10
10
11
10
00
01
10
01
00
00
10
00
00
11
11
00
10
10
11
11
11
00
01
10
11
00
00
10
10
00
10
01
01
11
01
10
01
10
10
00
00
01
10
10
11
10
00
10
01
01
10
00
00
11
10
11
00
00
00
11
00
11
11
00
10
01
10
01
10
10
01
00
10
11
00
01
10
11
10
10
00
00
10
10
00
00
10
11
00
10
00
11
10
01
10
01
11
00
10
00
10
10
10
01
01
00
11
00
11
00
00
10
00
11
10
10
10
00
00
00
10
10
01
00
10
00
00
00
00
11
10
00
00
10
01
10
11
01
01
10
10
10
00
00
10
11
00
00
10
10
00
11
11
01
10
00
00
11
00
11
10
01
01
11
10
01
01
10
00
00
10
00
00
11
10
11
00
10
10
11
10
11
01
00
10
01
11
10
00
01
10
11
00
11
10
10
01
00
01
10
00
01
10
10
01
00
10
01
11
10
11
10
10
10
01
00
11
00
00
00
10
11
10
10
00
10
10
00
10
00
01
00
00
10
10
00
01
10
11
00
00
10
11
00
10
00
00
11
00
00
10
10
00
10
10
10
11
00
10
00
00
10
10
10
11
10
11
00
00
00
01
10
10
10
01
10
01
01
10
10
00
10
11
10
00
00
10
11
01
10
01
11
10
01
10
11
10
10
01
00
10
00
10
10
11
00
11
10
00
00
00
10
01
11
10
01
00
10
10
00
00
11
00
00
01
10
10
11
00
00
11
11
10
11
00
01
00
00
10
11
10
01
01
11
10
01
10
00
00
10
00
00
01
10
11
10
00
10
00
10
10
00
10
00
10
11
00
01
10
01
10
10
00
10
00
10
00
00
00
10
11
01
01
01
00
10
01
00
00
10
11
01
10
11
10
10
00
11
01
00
10
00
00
10
10
01
00
10
10
00
00
00
10
10
01
11
00
00
10
10
01
11
00
00
11
10
00
00
10
10
00
00
10
11
10
01
10
10
10
11
10
10
01
10
01
10
01
10
01
11
01
00
10
10
10
01
01
10
10
10
01
00
10
01
00
11
10
01
10
00
00
00
11
01
10
10
01
11
10
01
00
11
11
10
01
00
01
11
00
01
00
00
10
10
10
10
00
00
00
11
10
00
00
11
10
11
10
00
10
11
10
01
10
10
00
11
11
01
11
00
11
00
00
10
10
01
00
10
10
10
00
00
01
01
00
10
00
10
10
10
00
00
11
00
01
10
11
10
10
00
00
00
10
11
01
00
10
01
11
00
00
11
11
11
10
01
00
00
00
11
10
01
10
00
11
11
01
11
11
00
01
00
01
11
01
11
10
00
00
10
01
01
11
11
00
10
10
10
11
00
01
00
00
01
00
01
10
00
01
00
10
10
00
01
10
00
10
11
01
00
11
10
01
00
01
11
10
10
00
01
10
10
10
00
01
10
00
00
00
10
10
01
00
10
00
00
00
10
00
00
10
10
11
00
01
11
00
01
10
11
10
00
00
10
00
00
10
00
01
11
11
00
00
00
11
10
00
00
11
10
11
10
10
00
01
10
11
01
00
00
11
00
00
10
10
01
00
00
10
10
01
10
01
10
10
00
10
00
10
11
01
10
01
01
00
10
11
00
00
10
11
00
01
10
10
11
11
11
00
00
11
10
10
10
00
01
10
00
01
10
00
00
10
11
10
10
01
10
00
01
10
00
10
10
11
10
00
01
01
11
10
10
00
00
10
01
10
00
00
10
10
01
00
10
10
11
10
01
00
11
00
00
00
11
10
00
10
11
10
00
11
00
10
11
00
00
00
00
10
00
01
10
11
10
00
00
00
10
11
00
00
00
00
10
11
01
01
00
11
10
01
11
10
00
00
01
10
11
01
00
10
11
00
01
00
10
10
00
10
10
11
00
00
11
00
10
00
10
11
00
10
01
01
10
11
10
10
00
10
00
11
11
01
00
10
10
00
01
00
00
10
11
01
00
10
10
00
00
10
00
01
00
10
11
00
10
00
01
00
11
00
01
10
10
11
10
10
01
01
10
11
10
11
00
00
10
00
00
01
10
11
11
00
00
01
10
01
01
11
00
10
01
00
00
11
10
11
01
11
11
01
00
10
11
01
01
10
10
01
10
00
00
11
10
00
10
10
10
10
00
10
10
10
00
11
01
00
00
10
11
10
01
00
10
10
00
10
00
10
11
01
00
00
10
00
11
10
11
00
11
00
10
10
11
10
00
00
10
10
10
10
00
00
10
00
10
01
01
11
10
01
01
11
00
10
11
00
10
00
00
10
01
00
10
10
10
00
00
00
00
10
11
00
00
10
11
00
10
10
00
00
10
11
00
00
10
10
00
11
00
01
10
00
00
10
10
11
01
10
00
00
10
00
10
10
11
00
10
11
00
10
00
10
11
11
01
01
01
10
01
00
00
10
01
01
11
01
00
01
10
01
00
10
11
00
00
10
10
01
00
10
00
10
01
10
11
01
11
10
00
10
10
01
01
00
10
10
11
00
10
00
00
01
10
10
11
10
00
01
00
01
00
11
10
00
10
11
10
01
00
10
01
11
00
00
01
10
11
00
00
00
01
10
00
11
11
00
01
00
11
10
01
00
00
00
10
00
01
00
11
00
00
00
10
01
00
10
11
00
11
11
00
11
11
00
01
00
10
00
00
10
00
01
10
10
01
01
01
10
00
01
10
10
00
01
11
00
11
00
10
11
00
10
10
01
00
10
10
10
00
00
01
10
00
00
10
10
11
10
00
10
10
01
01
10
11
01
00
11
00
10
00
10
11
00
01
11
00
00
00
00
11
10
00
11
01
10
11
10
10
00
10
01
00
00
10
11
11
11
10
11
00
11
01
00
01
10
10
01
10
11
01
11
10
10
00
10
11
00
00
11
00
10
11
10
00
10
10
00
00
10
10
11
00
11
00
10
00
10
11
00
00
11
00
10
11
01
10
11
10
01
01
11
01
10
01
00
10
11
00
10
00
00
10
10
10
11
10
10
00
10
00
00
01
01
00
10
10
10
10
10
10
01
00
00
11
01
10
01
00
11
00
00
00
10
10
01
10
11
11
10
11
00
00
10
00
00
01
10
00
10
01
10
01
10
00
11
00
00
10
10
01
01
11
10
11
10
00
00
10
10
01
10
11
00
10
10
00
01
10
01
00
00
10
10
00
01
00
11
00
11
00
10
10
00
00
10
10
01
11
11
01
00
01
11
10
01
01
01
10
10
00
10
00
00
11
10
10
00
00
11
10
00
10
11
10
00
01
01
10
10
10
10
10
01
10
10
01
10
10
11
01
00
11
10
01
01
00
10
11
00
10
00
00
00
10
10
01
00
00
11
00
11
00
10
11
01
01
10
00
10
00
00
11
00
01
10
11
11
00
10
00
11
10
00
00
10
01
00
00
00
00
00
00
01
00
11
00
11
10
00
11
01
00
11
00
10
10
00
00
10
01
01
11
10
10
00
10
10
10
00
00
11
11
11
10
00
11
10
00
10
10
00
00
10
00
10
10
10
01
01
11
11
11
00
00
10
10
00
01
11
10
10
10
00
00
00
11
10
10
01
00
10
10
11
00
11
10
01
00
10
10
11
11
00
10
10
11
00
00
10
11
00
10
00
01
10
10
10
01
00
01
00
10
01
00
00
00
00
10
00
10
10
00
10
00
11
00
00
10
10
10
00
00
00
01
10
10
10
00
00
10
10
10
10
01
00
10
10
10
00
10
10
00
00
10
00
11
10
00
11
00
10
11
10
11
01
01
10
10
00
00
10
00
01
11
10
00
00
10
11
11
10
11
00
01
01
01
10
10
11
00
10
10
00
01
10
10
10
10
00
01
10
00
00
10
01
10
00
01
10
11
10
01
00
10
01
01
10
11
01
00
00
10
01
00
11
10
10
00
01
00
10
01
00
01
00
01
10
11
10
10
00
00
10
11
10
00
01
00
00
01
10
11
10
01
10
10
00
00
00
10
10
00
10
11
11
10
11
00
00
00
10
11
10
10
00
00
11
10
11
00
00
01
00
00
10
10
11
00
10
00
10
01
00
11
00
01
10
10
10
00
00
10
11
01
00
10
00
00
11
10
01
00
00
00
00
11
10
10
01
10
11
01
11
01
11
10
00
10
11
00
01
10
10
10
00
01
01
00
10
10
10
10
00
00
01
10
10
00
10
01
01
10
11
00
00
10
00
00
00
10
11
10
10
11
10
10
00
00
11
10
10
10
10
11
10
00
01
01
00
11
00
00
10
10
00
01
01
10
00
00
00
10
11
00
11
00
00
10
10
11
10
01
00
00
11
10
00
01
11
10
01
00
00
11
10
00
01
10
01
01
01
10
00
00
11
00
11
00
01
11
11
10
10
00
00
10
11
00
10
10
11
00
10
00
00
00
10
01
00
01
00
11
01
10
01
11
00
00
01
01
10
10
00
10
11
11
00
01
10
00
11
11
10
10
00
00
01
00
10
00
00
00
10
10
00
00
11
10
11
11
01
11
00
10
01
01
10
10
00
01
10
00
10
00
00
11
10
10
01
01
00
10
10
01
00
11
11
01
10
11
00
10
00
00
10
10
01
01
10
10
10
01
00
01
10
10
00
10
10
00
11
10
10
10
01
01
10
00
10
01
10
00
00
00
10
10
00
00
10
10
10
00
00
10
10
00
01
10
10
00
10
10
10
00
10
10
01
01
10
00
01
11
11
10
00
01
11
00
10
00
00
00
10
00
01
00
11
10
10
10
01
10
10
11
00
00
10
00
10
01
10
00
00
11
00
00
10
11
00
11
10
11
00
10
11
10
10
01
10
00
11
10
00
01
00
01
00
10
10
00
00
11
11
01
10
10
01
10
00
00
10
11
00
10
00
11
00
10
00
00
00
11
10
10
00
10
10
10
01
01
10
10
10
10
00
10
11
00
10
00
10
10
10
01
00
11
10
00
00
10
00
00
11
10
01
00
01
10
10
10
11
00
01
00
11
00
01
10
10
11
00
11
10
00
01
00
10
00
01
10
10
00
11
00
10
00
00
00
01
00
00
01
11
10
01
01
10
10
10
10
01
00
11
00
00
10
00
00
01
00
10
11
00
10
11
10
10
01
00
01
01
11
00
00
01
10
00
00
00
11
10
10
10
11
01
00
00
11
00
00
10
00
10
11
10
00
11
10
00
10
10
00
01
10
10
01
00
10
01
01
00
10
11
10
11
00
11
00
00
10
00
00
10
10
01
10
10
00
10
10
00
10
10
00
10
00
11
00
10
10
00
10
00
00
01
00
10
00
01
00
10
00
11
00
10
00
00
10
11
01
00
00
00
10
10
10
00
10
10
10
10
01
10
01
01
10
10
10
10
10
10
10
00
00
10
10
00
01
10
01
10
01
00
10
10
11
01
00
00
10
00
00
00
00
10
00
10
10
00
10
01
01
10
11
10
00
10
00
01
10
00
01
10
10
10
00
01
00
10
11
11
00
11
10
10
11
00
00
00
00
00
01
11
10
00
10
10
00
00
10
11
10
00
01
01
01
10
10
11
10
11
11
00
01
00
10
01
11
10
10
11
11
11
00
10
01
11
00
00
01
11
11
11
00
00
11
11
01
00
10
11
01
10
11
10
00
01
10
10
01
10
10
01
00
00
00
00
10
10
11
01
11
01
10
10
10
11
11
01
00
00
11
10
00
01
01
10
10
10
00
00
11
11
00
11
01
11
11
10
00
11
10
00
11
11
01
00
01
10
00
00
10
10
10
11
00
11
00
00
01
00
01
00
10
11
10
11
01
01
11
11
00
10
10
00
00
10
10
00
10
10
00
01
00
01
01
00
11
01
00
00
11
11
11
00
01
10
11
10
00
00
10
00
00
00
00
01
11
10
10
00
00
10
00
01
10
10
00
10
00
10
00
10
10
01
01
10
00
10
00
01
00
01
10
10
10
10
01
00
10
10
10
00
00
10
00
11
11
11
10
11
01
00
01
10
11
10
10
01
00
10
00
11
11
11
00
01
10
00
01
10
10
01
00
10
00
10
01
10
00
00
10
11
10
10
00
01
00
11
10
00
10
11
00
10
00
00
11
10
01
10
10
10
10
01
10
00
00
01
10
11
10
10
10
00
00
10
01
11
11
00
10
10
10
00
00
10
00
00
10
01
01
01
10
10
00
11
10
11
00
00
00
11
00
00
10
10
10
00
00
11
00
01
00
10
11
11
10
10
00
01
10
01
11
00
00
10
10
00
00
11
10
10
00
11
00
10
10
00
10
11
00
01
01
00
00
10
00
01
11
10
11
00
00
10
11
01
10
10
00
00
00
00
11
10
01
11
10
01
11
01
00
00
10
00
10
10
10
01
10
00
11
10
01
11
01
10
01
10
00
01
10
00
01
00
10
01
00
11
01
00
11
10
11
10
00
01
10
10
00
00
10
10
11
00
10
10
00
01
10
01
10
00
01
11
10
00
01
10
10
10
10
01
00
10
00
10
00
11
00
00
10
01
10
00
11
01
10
10
10
11
00
00
00
10
10
10
10
11
00
01
10
01
00
11
10
01
11
10
00
10
11
00
00
00
10
10
00
01
01
01
10
00
01
00
11
00
10
01
10
00
01
10
10
11
10
01
00
10
11
01
01
11
11
00
10
10
00
00
10
11
00
01
00
10
00
00
00
10
10
10
01
00
01
00
00
11
10
01
10
10
01
00
10
11
10
11
10
00
10
11
10
00
11
10
10
00
01
10
10
01
01
01
00
10
10
10
10
00
00
10
10
11
11
01
00
11
00
10
00
01
00
00
10
10
11
10
10
10
00
01
11
01
10
10
01
11
00
00
10
11
01
00
00
10
00
10
10
00
00
10
11
00
10
01
00
01
11
10
10
01
11
10
10
10
01
00
01
10
01
01
10
10
00
00
00
10
11
10
00
11
00
00
10
10
01
00
00
11
10
10
00
01
00
10
01
10
00
00
00
11
10
00
10
00
10
01
11
10
10
01
01
10
10
00
00
00
10
00
00
10
00
10
01
00
11
10
10
00
11
10
10
01
01
10
10
10
01
10
00
10
11
00
00
00
11
01
00
10
11
00
00
01
00
10
01
00
10
00
10
11
11
11
11
11
10
10
01
10
00
00
10
11
01
10
01
00
10
10
00
10
10
00
00
01
00
10
10
11
00
00
10
10
00
10
00
00
11
01
11
11
11
11
10
10
00
10
10
11
01
01
10
00
00
10
00
10
00
00
00
01
00
01
10
10
00
01
01
00
10
10
10
01
11
10
01
01
10
11
00
00
01
10
01
00
00
11
10
11
11
01
00
00
00
11
11
00
00
10
00
11
11
10
11
01
01
00
10
10
11
10
00
01
10
11
10
01
01
01
11
10
00
01
10
00
10
10
00
00
10
00
10
10
10
01
01
10
11
00
10
00
11
10
00
10
10
00
01
10
00
00
11
00
00
11
00
01
01
10
10
11
10
10
00
00
10
00
01
10
00
00
00
01
00
11
00
10
11
10
10
00
11
11
00
10
00
11
11
11
11
10
10
11
00
11
10
01
00
10
10
11
10
00
00
10
00
00
00
11
01
11
10
00
00
00
11
10
01
01
10
10
11
00
10
10
00
00
10
00
10
00
00
10
10
11
10
01
01
00
11
11
00
11
11
00
00
00
10
10
01
10
01
11
11
10
00
00
11
00
01
10
11
10
00
00
10
01
00
10
10
01
11
01
01
01
01
10
00
00
00
10
10
01
00
00
10
11
00
11
00
00
00
10
10
00
10
11
10
10
00
00
11
00
10
11
11
00
00
10
01
00
10
00
10
00
11
11
00
01
11
10
11
10
10
00
10
10
01
00
10
00
00
10
10
00
00
00
00
10
11
10
10
01
00
11
11
00
10
11
10
10
00
00
00
10
10
10
00
10
10
00
00
01
00
11
00
10
00
00
00
10
00
10
00
11
10
00
01
00
11
10
00
00
11
00
10
00
00
10
00
00
00
11
00
00
10
11
10
10
00
01
11
01
10
11
01
01
00
01
10
11
10
00
01
00
01
11
01
01
00
11
00
00
00
00
00
10
01
00
00
01
11
11
10
00
10
00
01
00
10
10
01
00
11
00
01
00
10
10
00
10
00
10
11
00
01
01
10
00
00
01
11
10
00
00
10
01
00
10
11
10
00
00
11
10
11
10
01
10
11
00
11
01
00
01
10
00
00
11
10
10
01
00
01
10
01
10
00
00
00
00
01
11
11
00
10
10
11
10
00
10
10
00
11
10
11
10
11
01
01
01
10
11
11
00
00
01
10
10
00
01
10
10
11
01
01
10
01
10
00
10
10
00
00
00
11
01
10
01
11
11
10
10
01
01
10
11
10
11
00
00
00
10
10
10
11
10
00
10
11
10
10
11
10
00
00
00
10
01
00
10
00
01
01
11
10
00
11
00
00
10
10
00
01
10
01
10
11
01
10
01
10
11
10
11
00
01
01
10
10
00
10
11
10
01
00
00
01
01
00
10
01
10
11
00
00
00
10
11
00
01
10
10
00
00
00
10
00
00
11
10
10
00
10
10
10
10
11
01
11
10
01
10
00
01
01
10
00
11
10
11
00
00
01
10
10
01
10
10
10
00
00
00
11
10
01
00
10
10
10
01
00
01
11
01
11
00
10
10
01
01
10
10
01
00
11
00
10
11
00
10
01
00
10
00
00
00
10
10
00
01
10
10
11
11
01
10
00
00
00
00
11
10
11
10
11
00
10
00
10
00
01
00
00
00
00
10
10
10
00
00
10
01
01
00
10
10
00
00
00
11
00
01
10
11
00
11
00
10
10
00
10
11
00
01
10
10
01
00
01
01
11
11
11
10
10
10
01
00
01
00
11
10
10
10
10
00
00
10
10
11
00
10
10
11
00
11
10
00
10
00
01
00
01
10
00
00
10
00
10
10
00
11
00
01
00
10
10
01
10
11
00
01
10
00
10
00
00
10
11
11
00
00
11
00
10
01
00
00
11
10
01
00
00
11
10
00
11
11
00
11
11
01
10
00
01
11
10
10
00
00
01
11
00
11
10
11
10
00
10
00
00
11
01
00
01
10
10
00
10
10
00
10
10
00
00
11
11
11
00
11
00
00
11
00
01
10
00
10
00
11
00
11
10
01
00
11
00
00
00
10
11
00
00
10
10
00
01
10
10
01
00
01
10
00
00
10
01
11
00
10
00
01
00
01
10
10
00
11
01
00
11
11
01
00
00
11
01
11
01
00
10
10
10
10
00
01
10
01
00
11
10
10
10
10
01
00
10
00
00
10
10
00
11
01
11
10
00
00
11
00
00
00
11
01
01
01
10
11
11
10
10
11
01
00
10
11
01
00
10
00
11
10
10
10
00
11
11
11
11
10
11
01
00
01
00
00
11
00
01
00
00
10
11
10
10
10
00
00
00
00
00
10
10
00
00
11
01
01
10
00
11
00
10
00
00
11
10
10
11
01
00
00
10
00
10
01
00
00
10
11
11
11
01
01
01
10
01
00
11
11
00
00
11
01
01
00
10
11
00
11
00
00
10
10
01
11
11
00
10
10
00
00
00
00
11
00
00
10
10
00
10
01
10
10
10
10
10
00
01
10
01
00
00
10
10
00
00
11
10
11
10
01
10
00
10
10
01
01
01
10
11
00
10
00
00
11
10
00
00
10
10
00
00
01
10
01
00
10
00
10
01
00
00
10
10
00
00
01
00
01
10
10
10
00
00
11
10
01
00
01
00
10
10
10
00
11
01
00
10
10
11
00
01
00
00
10
00
10
00
01
10
00
10
00
11
10
01
10
01
11
11
00
00
00
10
10
10
10
00
00
01
00
11
10
10
01
10
11
10
00
11
10
00
00
00
10
11
11
10
00
00
11
00
10
10
10
10
00
01
00
00
10
00
10
10
01
10
11
00
01
00
10
00
10
11
11
11
00
10
11
11
01
01
10
10
00
11
01
01
10
10
00
00
00
10
10
10
00
00
10
00
00
10
10
00
00
10
10
00
10
01
10
10
00
01
00
01
10
00
00
10
11
00
10
10
10
11
01
00
01
00
10
01
00
10
00
10
00
00
11
00
01
11
11
11
00
11
11
10
00
10
11
01
10
10
00
10
00
00
01
11
11
10
11
00
10
10
00
01
10
10
01
00
00
10
11
10
01
10
11
11
10
00
00
10
01
10
10
00
11
10
01
10
00
10
10
00
00
01
10
00
00
01
00
11
10
10
00
00
01
11
10
10
00
00
00
10
00
01
11
10
00
01
11
01
00
10
00
10
10
10
01
00
00
10
10
10
10
00
00
01
11
01
00
10
10
10
11
10
01
00
01
10
00
11
10
10
10
00
00
10
10
11
01
10
11
00
11
10
01
01
10
10
00
01
00
01
00
10
00
00
00
00
10
11
10
01
10
11
00
00
11
10
10
00
00
10
11
10
00
01
11
10
01
10
10
00
00
00
01
01
10
00
00
11
10
11
00
00
10
10
10
11
11
01
11
01
10
00
10
11
01
00
01
10
11
00
01
00
10
10
00
00
01
00
10
00
00
00
00
11
01
01
11
10
10
10
00
00
10
11
00
01
00
01
10
10
00
00
01
01
10
11
00
00
10
01
10
11
10
00
11
10
00
01
00
10
00
00
00
11
00
11
10
11
10
01
01
00
10
11
10
00
00
11
10
11
01
10
10
01
00
10
10
00
10
10
00
10
11
10
00
01
10
00
00
01
10
01
10
10
10
00
01
00
10
00
00
10
10
00
00
01
01
10
10
11
00
01
10
00
00
00
10
00
00
10
00
00
00
01
00
00
11
00
11
11
10
00
10
10
10
00
00
00
01
00
11
10
10
00
00
11
10
00
00
10
01
00
10
01
00
01
00
01
10
10
11
01
00
10
00
00
00
00
00
10
10
11
01
00
00
10
10
00
10
00
10
00
01
10
10
10
11
00
11
11
10
00
10
10
11
10
00
00
01
10
01
11
01
00
10
00
11
11
00
10
10
01
00
00
01
10
00
00
11
01
00
10
01
10
00
10
11
00
11
10
11
10
01
00
00
11
11
10
01
11
10
11
10
00
01
01
10
10
10
00
10
10
00
10
00
00
11
10
11
11
11
11
10
01
10
10
01
00
11
10
10
00
10
10
11
10
00
01
00
10
00
10
10
00
00
10
10
00
10
10
11
11
01
00
10
10
01
10
10
00
01
10
10
01
00
10
10
11
00
11
00
00
00
10
00
10
00
01
00
10
01
01
10
01
00
11
10
00
10
11
11
01
10
10
11
01
00
00
11
10
00
10
00
10
00
00
11
10
01
00
01
10
01
00
10
11
00
11
00
10
10
00
10
01
01
10
10
10
10
00
11
11
01
01
00
01
10
00
11
10
11
10
10
00
00
10
10
01
00
01
10
11
00
00
00
00
10
10
01
00
11
00
00
10
00
10
10
10
00
11
00
01
00
00
10
10
11
00
00
00
10
01
00
10
11
01
10
00
00
00
10
11
00
01
00
11
10
00
11
10
10
00
10
00
00
10
11
10
00
10
11
01
10
01
10
10
10
00
00
11
10
00
00
10
11
00
01
10
11
00
10
00
00
10
10
11
01
00
10
10
11
00
01
11
11
10
10
00
01
00
00
00
10
11
01
01
10
01
00
10
11
11
00
00
11
00
00
11
10
00
10
00
10
10
00
10
01
00
10
01
10
01
01
11
10
10
11
00
10
10
10
10
10
10
01
00
11
11
01
10
00
11
11
10
00
10
00
00
10
00
10
00
10
11
00
10
10
10
10
00
00
00
01
11
10
00
00
00
01
01
01
10
11
10
00
01
00
10
10
00
01
11
10
00
10
00
11
00
01
10
10
11
11
01
10
10
01
11
11
00
11
01
10
00
00
10
10
00
10
10
00
11
01
10
11
00
01
10
00
00
10
00
00
10
11
00
01
10
10
10
11
10
10
10
10
10
00
00
00
10
11
11
10
00
11
10
10
11
00
10
00
10
10
01
11
01
01
11
10
01
01
10
01
10
10
00
10
01
00
01
11
11
11
01
11
00
10
11
01
00
10
11
01
11
10
00
01
00
11
10
10
00
11
11
01
00
01
00
10
10
01
11
11
00
00
10
10
01
00
11
10
00
11
10
10
01
01
10
10
01
00
11
11
11
01
10
01
00
10
10
00
00
10
10
10
01
00
00
00
10
00
10
10
10
10
11
10
00
00
00
00
11
11
00
00
00
10
00
01
10
01
10
10
00
00
10
10
11
00
00
00
10
00
00
10
00
10
01
00
00
01
10
10
01
10
10
10
10
01
01
10
11
00
00
10
01
10
11
01
00
11
10
10
00
11
11
11
01
00
10
10
00
01
01
10
11
10
00
00
01
00
10
01
00
10
11
10
01
01
01
10
11
00
00
00
11
10
10
11
01
10
01
00
10
11
10
00
10
01
01
10
11
00
01
01
10
11
00
01
10
10
01
10
00
00
01
10
11
00
10
10
00
00
00
00
10
00
11
00
00
11
11
01
11
10
01
10
00
10
10
01
01
00
10
01
10
10
10
00
00
00
11
10
00
01
00
10
00
01
11
00
00
00
00
10
10
00
00
01
10
10
10
10
10
00
01
00
01
10
01
01
00
01
10
10
00
10
10
01
10
11
10
10
11
11
10
01
00
01
00
00
10
11
01
10
10
00
10
10
10
00
11
10
00
00
10
01
01
10
00
10
10
01
10
11
01
00
01
00
10
00
11
00
00
10
10
00
00
10
01
10
10
11
01
00
11
10
01
10
01
00
00
01
11
00
10
00
10
00
01
00
01
00
10
00
00
01
10
10
00
10
10
00
10
01
10
11
00
11
10
10
00
01
10
11
10
00
10
00
11
00
01
10
00
00
00
00
11
01
11
11
10
10
01
00
00
00
10
11
10
00
00
11
10
10
01
11
10
00
01
10
10
00
00
00
11
10
10
00
00
00
11
10
00
00
10
11
01
11
00
00
10
01
10
10
10
00
00
10
11
00
10
10
01
11
01
00
11
00
00
00
10
11
00
00
10
11
01
10
00
00
00
11
11
01
10
11
00
00
11
10
10
00
01
01
10
10
00
00
00
01
10
10
00
00
10
01
11
10
00
00
11
10
10
10
10
00
10
11
01
00
01
10
11
00
00
00
00
01
11
10
00
00
00
11
01
01
10
10
10
11
00
11
00
00
00
11
10
11
00
00
00
00
10
10
10
01
10
10
10
01
01
01
11
10
10
10
10
01
10
10
00
11
01
01
01
10
01
11
11
01
01
11
10
11
01
00
10
10
00
00
00
10
11
01
00
10
10
01
00
11
01
00
10
01
11
11
00
00
10
00
00
10
11
00
01
00
10
00
10
10
01
10
10
00
00
01
00
11
00
00
10
11
11
01
10
10
11
01
11
00
00
10
01
11
10
01
00
10
01
00
00
10
10
00
00
11
10
01
00
10
01
00
00
00
10
10
00
10
11
10
10
01
01
00
10
01
01
10
10
00
10
01
10
11
10
10
01
00
10
00
00
11
10
10
10
11
00
10
00
00
00
00
10
11
10
10
00
10
10
00
11
00
10
11
00
10
10
01
00
11
00
00
01
00
10
10
10
00
00
10
01
10
10
00
01
10
00
10
11
00
11
00
10
00
00
10
10
11
00
00
00
00
00
10
11
10
00
00
00
11
11
01
01
11
10
01
11
11
10
00
00
00
11
10
10
10
00
10
10
00
01
11
10
10
00
00
00
11
10
00
10
10
10
00
01
11
10
00
10
00
10
10
10
10
10
00
11
10
00
11
11
11
00
01
11
11
01
10
00
00
11
00
00
10
10
01
00
01
10
10
01
00
10
10
00
01
10
10
10
00
00
10
00
00
10
11
00
00
00
11
10
00
00
00
10
01
00
11
01
10
00
10
01
00
11
10
11
10
00
00
00
10
10
10
00
10
00
11
11
00
10
10
01
10
10
00
11
11
10
01
00
00
10
11
10
10
10
00
10
00
00
11
11
01
11
11
10
10
11
00
10
11
00
10
11
00
01
00
10
00
00
00
10
00
00
01
11
00
00
10
00
01
01
10
00
10
01
00
11
10
10
10
00
11
10
00
00
10
01
00
00
11
01
01
00
10
11
10
00
10
00
01
11
00
10
11
00
10
10
10
00
11
10
00
10
00
10
10
10
01
00
11
01
10
00
11
00
10
00
00
10
11
01
01
00
00
10
10
10
01
01
11
10
00
10
10
10
00
00
11
10
00
01
01
11
00
01
10
01
01
10
00
11
00
10
00
00
00
00
10
11
10
00
01
00
01
10
11
10
00
10
00
00
00
01
11
11
10
01
01
11
10
00
00
10
10
01
10
11
10
00
10
00
01
11
01
10
11
11
10
00
01
00
00
11
11
10
00
01
11
10
01
10
00
00
00
10
10
10
00
11
10
01
11
00
01
10
00
00
00
11
11
00
00
10
11
00
00
00
10
10
01
11
01
01
10
11
10
10
00
00
10
10
10
10
00
00
10
01
00
00
01
10
10
00
10
10
00
01
10
11
11
01
00
00
11
01
10
00
10
00
00
11
11
00
11
00
10
11
10
10
00
00
10
00
00
10
10
01
10
11
11
11
01
10
11
00
10
11
10
00
10
00
00
10
01
00
01
10
00
11
10
10
11
10
00
10
00
00
11
00
01
11
10
01
10
01
01
10
10
01
01
10
00
10
00
00
11
00
00
11
00
10
10
00
00
00
10
00
00
01
00
10
11
01
00
00
11
10
00
11
01
01
10
10
01
00
11
00
10
11
01
01
00
11
01
11
00
10
10
11
00
00
11
00
10
11
00
10
10
01
00
10
10
00
11
11
00
10
10
00
00
00
01
10
11
10
01
10
10
01
11
10
00
00
10
10
00
00
00
11
00
01
00
10
11
11
01
00
00
10
10
00
01
10
11
01
00
00
01
00
11
00
01
11
01
01
00
10
00
10
11
01
00
10
10
00
10
00
10
10
11
11
01
00
10
00
11
01
11
01
10
01
00
10
00
10
10
01
11
00
01
01
01
00
11
01
10
11
01
01
10
10
00
10
01
00
10
11
00
00
10
10
01
00
10
00
00
11
10
01
01
01
00
11
11
10
10
00
10
10
10
00
00
10
10
11
10
10
10
01
10
10
00
01
01
10
10
00
10
11
10
10
01
10
00
00
10
01
00
10
10
00
00
10
10
11
01
01
01
10
10
00
11
10
01
00
10
01
00
10
00
00
10
00
00
10
00
00
01
00
01
11
01
01
01
10
11
00
00
10
00
00
00
10
10
01
01
01
00
11
10
01
00
10
10
01
00
01
00
10
10
00
00
11
10
00
01
00
11
00
00
10
10
10
00
00
10
10
10
10
01
10
00
11
10
11
10
00
00
10
10
00
11
11
10
11
00
00
10
10
00
00
11
00
00
10
00
10
01
00
10
10
00
00
00
00
01
11
00
10
00
10
01
11
01
00
10
01
10
00
10
00
00
01
00
10
01
00
01
00
01
10
11
00
11
10
01
01
10
01
11
01
01
10
11
10
10
00
00
11
11
01
11
00
00
10
00
00
10
00
00
10
11
10
01
10
10
10
01
00
01
10
11
01
10
11
01
10
10
00
00
10
00
00
10
11
10
10
10
10
11
00
00
10
11
00
00
10
00
10
00
01
11
01
11
01
00
10
00
00
10
10
10
01
00
11
00
10
10
00
01
10
11
10
00
10
10
00
00
10
10
00
00
10
01
00
11
10
10
11
00
10
00
10
01
10
10
00
10
10
11
10
00
11
10
10
10
10
01
10
00
00
00
10
10
01
00
00
10
00
00
10
00
00
10
00
01
11
10
01
01
10
01
00
10
10
11
00
01
01
10
11
11
00
01
10
00
01
00
10
01
00
10
00
10
00
01
10
00
00
11
10
10
00
01
10
10
00
11
10
10
10
01
00
00
10
00
00
00
10
10
00
10
00
00
00
00
10
00
01
00
01
00
11
10
10
01
10
10
00
10
10
11
00
10
01
10
01
01
11
00
10
00
01
11
10
11
01
10
01
00
11
11
00
00
10
10
01
00
11
00
11
01
00
10
00
11
10
00
01
00
00
10
00
10
10
00
00
11
01
01
11
00
10
11
00
01
11
10
00
00
01
10
01
01
00
10
10
01
00
10
10
10
10
10
10
00
00
10
00
00
00
01
01
01
00
11
10
00
00
10
10
11
10
11
00
10
01
01
00
01
10
10
00
11
10
10
00
00
10
00
01
10
10
10
00
00
00
01
10
01
00
11
00
10
00
00
10
10
11
00
10
10
00
10
00
00
00
01
10
01
01
10
11
00
00
10
11
01
10
10
00
00
00
00
10
00
11
01
10
11
00
10
01
10
00
00
00
11
00
10
00
00
10
11
10
00
00
10
00
11
10
01
01
01
00
01
01
11
00
01
11
10
10
11
11
01
01
10
00
00
00
10
00
10
11
00
11
01
00
10
00
00
10
01
00
00
11
11
01
10
10
11
10
00
11
01
00
10
10
01
00
01
10
10
00
00
10
00
00
11
11
10
01
01
11
00
10
00
00
01
10
10
01
11
00
00
10
11
11
01
01
10
00
00
00
10
11
00
11
00
00
00
00
10
01
10
00
00
00
10
00
00
11
11
10
00
00
00
10
10
10
00
11
01
00
11
00
10
00
00
10
11
00
00
11
11
00
01
10
00
00
01
10
10
11
00
10
10
10
00
00
11
00
10
01
00
00
10
10
00
10
01
10
01
00
00
10
00
10
10
00
00
11
10
00
00
10
11
11
01
01
01
01
10
10
00
00
10
10
10
00
00
01
10
10
00
01
01
10
00
00
10
00
01
11
01
10
10
01
00
11
10
10
00
10
00
01
11
11
00
00
10
01
00
01
11
10
10
00
11
00
00
10
11
11
11
01
00
10
01
10
10
10
00
00
10
10
00
00
01
00
10
10
00
10
01
11
11
00
10
00
01
11
00
11
00
01
00
01
11
00
00
11
00
00
00
10
01
10
10
10
10
10
00
00
00
10
10
11
00
11
01
00
11
00
11
10
01
00
10
10
00
01
00
11
10
10
10
11
00
00
00
11
01
00
01
00
10
01
10
00
11
01
10
00
00
10
00
00
00
10
10
01
00
10
10
00
10
01
00
01
01
00
10
11
11
00
11
11
11
01
10
11
00
00
11
10
01
01
00
10
10
11
10
00
00
11
00
11
10
01
10
11
10
01
00
10
11
10
11
00
00
00
10
00
10
10
00
10
10
10
11
11
10
10
10
00
10
10
11
00
00
00
10
11
10
11
00
00
10
10
00
10
10
01
00
00
10
11
10
10
01
10
10
01
11
00
11
00
00
00
10
11
00
11
10
01
11
11
11
00
01
11
00
01
10
10
10
10
00
00
00
10
00
01
11
00
11
01
00
01
00
10
01
00
00
00
11
00
11
00
11
00
01
10
00
10
11
00
00
10
10
00
01
10
10
01
11
10
10
11
00
00
10
01
10
10
10
00
10
10
11
10
10
11
10
00
00
00
10
10
00
00
00
00
11
00
00
00
00
10
10
10
01
00
11
10
11
00
11
00
10
00
00
11
00
11
11
01
00
10
00
10
00
11
10
00
00
00
10
00
01
11
01
11
00
11
11
10
10
10
00
00
10
10
00
01
10
11
01
00
00
00
00
01
11
10
11
00
01
01
00
11
00
01
11
00
00
11
11
01
00
01
10
11
10
01
01
11
01
00
11
10
11
10
01
00
10
10
00
11
10
11
00
00
10
11
01
10
01
00
10
00
00
10
10
00
00
00
00
00
00
10
00
11
10
00
10
00
10
10
11
00
01
10
10
10
00
10
10
00
00
11
10
01
00
10
00
01
00
10
00
00
00
11
10
01
10
10
10
01
10
10
10
00
00
00
10
00
11
00
01
10
10
00
00
00
00
00
11
10
01
10
00
01
10
00
00
10
00
01
11
11
01
00
00
11
00
00
10
10
01
01
01
10
01
10
10
10
00
00
11
00
00
10
01
00
00
11
00
00
11
10
11
01
01
00
10
00
00
01
11
01
01
01
10
01
00
01
10
10
10
00
01
10
01
01
10
11
00
10
10
00
01
10
11
00
01
10
00
01
01
00
10
11
10
00
00
00
11
10
11
10
01
01
11
01
10
00
00
10
10
00
00
10
00
00
10
10
10
11
11
10
00
11
00
00
11
00
11
10
00
10
10
11
00
01
11
10
10
00
00
11
00
00
10
00
11
01
11
00
01
11
00
10
10
11
00
11
10
00
00
01
10
11
10
00
10
10
01
10
11
11
11
10
10
00
11
11
11
01
00
01
01
01
10
00
01
00
00
10
10
00
10
00
11
11
00
10
10
00
10
00
00
10
00
10
00
00
10
00
01
00
00
10
11
01
11
10
01
00
10
01
01
01
10
00
10
11
00
10
11
01
10
00
11
01
00
10
00
10
00
11
10
00
00
11
11
01
00
01
10
00
11
10
00
10
11
11
10
01
01
00
11
11
10
00
11
11
11
01
01
10
11
10
11
10
00
01
10
10
00
01
10
00
00
10
11
10
00
00
00
00
10
00
00
00
01
11
11
00
01
11
00
00
11
00
00
10
00
11
00
01
10
01
00
01
11
00
01
10
10
00
00
01
00
10
10
10
10
10
00
10
00
00
11
10
01
10
01
00
10
01
10
11
00
00
10
01
00
11
10
00
11
01
01
10
11
00
01
11
00
00
10
10
10
11
00
01
00
10
11
11
00
01
11
11
00
00
11
10
00
00
10
10
10
10
00
10
10
10
00
10
00
01
10
00
00
10
11
01
01
10
00
00
01
10
00
01
10
11
01
01
10
10
00
10
00
00
00
10
00
01
00
11
00
00
11
10
00
10
01
01
11
00
11
11
10
11
11
01
00
00
11
10
01
01
00
00
10
10
10
10
01
00
00
11
10
01
10
01
00
11
10
10
00
00
10
10
11
00
11
00
00
00
01
10
00
10
10
00
00
10
01
00
10
10
10
11
00
01
01
01
10
00
10
10
00
00
11
11
00
10
00
00
11
00
10
11
00
11
10
00
00
00
01
10
10
00
11
10
10
00
00
10
10
11
10
10
00
10
11
01
10
10
00
00
01
11
00
00
00
11
11
00
10
10
00
00
10
00
11
11
10
00
00
00
00
00
01
11
01
01
10
10
10
01
00
00
10
10
11
10
11
01
00
10
00
10
10
00
01
10
10
00
00
00
10
01
11
00
00
01
01
01
01
10
11
10
10
11
01
10
10
00
00
11
11
00
01
00
10
01
00
00
10
00
11
00
10
00
01
10
11
10
00
10
00
10
01
10
10
11
11
00
00
10
00
00
10
10
11
00
10
00
01
11
00
00
10
10
10
00
00
11
11
01
00
11
10
11
00
10
10
01
11
01
00
10
11
00
10
00
00
10
01
10
01
10
10
01
11
01
10
00
01
01
10
00
01
11
11
00
00
01
10
00
10
10
01
00
00
10
01
10
00
10
10
01
01
10
11
11
00
01
00
00
10
00
00
00
11
10
01
11
00
10
00
00
00
00
10
00
00
10
10
10
00
00
10
01
10
11
11
00
01
00
10
10
10
00
10
11
00
00
10
11
10
00
01
11
00
10
01
11
11
01
10
00
11
10
01
00
00
10
10
10
10
01
00
10
00
01
00
00
00
10
10
00
01
00
01
00
10
11
00
10
10
00
00
10
00
00
00
01
10
00
00
00
10
01
11
00
10
01
00
10
00
10
00
00
10
01
11
10
00
10
00
00
10
00
00
00
10
01
11
10
10
11
00
11
01
10
01
10
01
00
10
01
00
00
00
10
11
10
10
10
10
00
01
01
00
00
00
00
11
00
01
11
10
00
01
11
11
10
10
00
00
01
00
01
10
11
00
11
00
11
11
01
01
11
10
00
01
11
00
00
10
11
00
01
11
10
00
00
00
10
10
01
10
01
00
01
00
10
10
01
00
10
00
01
00
01
11
10
00
00
10
10
11
00
00
01
10
10
10
01
00
11
10
11
01
00
01
01
01
00
00
10
10
01
10
10
01
10
10
11
10
01
10
11
00
10
10
10
10
00
01
11
10
01
01
00
01
01
11
00
10
10
00
10
10
00
01
11
10
01
10
11
11
01
00
00
11
00
00
11
00
10
10
11
10
01
00
00
00
11
10
10
11
10
10
00
00
10
00
00
10
11
00
00
00
00
00
10
10
10
10
10
00
11
10
00
00
10
00
10
10
00
11
10
00
10
00
00
10
01
01
00
11
10
00
11
10
00
00
00
10
11
11
00
10
00
00
00
00
10
10
00
00
00
00
00
01
00
00
00
00
10
10
10
00
10
10
00
01
11
00
10
10
10
01
01
00
11
11
10
10
11
01
00
01
10
10
00
01
10
00
10
11
01
10
10
11
00
01
10
00
00
01
00
10
00
01
00
01
11
00
00
10
00
10
00
10
11
00
00
00
10
10
10
01
10
01
11
00
01
10
10
00
10
11
10
00
00
01
10
01
10
10
00
01
00
00
00
11
00
10
00
00
11
00
00
10
00
11
11
10
10
11
00
00
11
01
01
00
00
10
10
00
10
10
00
10
11
11
01
11
00
10
00
00
10
00
00
10
01
10
00
01
00
00
01
00
01
10
11
00
10
10
10
10
01
00
11
00
00
10
11
10
00
01
10
10
01
00
11
00
10
01
00
01
10
10
00
00
01
11
11
01
01
11
01
00
01
10
11
10
00
00
00
00
00
11
10
11
00
01
10
00
10
10
00
01
00
01
10
10
11
00
01
01
00
10
11
10
00
10
10
00
11
10
01
10
00
00
10
10
10
10
00
00
01
10
11
00
11
01
01
01
00
00
01
11
01
11
10
00
00
10
10
00
11
11
00
01
00
10
00
00
01
10
10
00
11
10
00
11
10
00
01
10
11
10
10
10
00
01
10
10
00
00
10
10
00
01
10
01
11
00
01
00
00
00
10
11
00
00
11
00
00
11
11
00
00
00
01
10
11
11
10
11
00
10
01
00
00
00
00
00
00
01
10
10
11
10
01
01
11
10
01
10
00
00
10
00
00
00
00
10
11
00
11
10
11
00
01
10
00
01
10
00
10
11
00
00
00
01
10
10
10
00
01
10
10
01
10
00
00
01
10
10
11
10
00
01
00
10
01
10
10
10
00
01
00
01
10
00
01
10
11
10
10
10
00
11
00
10
10
10
11
10
10
00
10
10
10
11
00
00
11
00
10
00
10
10
10
01
00
11
00
00
10
10
00
00
00
10
10
10
00
10
10
10
10
01
10
10
01
00
00
10
00
00
10
01
10
01
10
01
10
10
01
00
01
00
00
10
10
10
01
01
10
11
10
10
10
00
00
00
10
01
11
10
11
01
10
00
11
00
01
00
11
10
00
01
11
00
00
00
00
00
01
10
00
10
10
10
10
10
00
00
10
10
10
01
00
00
01
00
10
01
11
10
01
01
10
00
01
01
10
10
01
10
11
10
00
01
10
00
10
00
00
00
10
11
10
01
10
11
11
10
00
00
00
10
01
11
01
00
01
11
00
11
11
00
11
01
00
00
10
11
00
11
10
01
00
00
10
00
00
10
01
00
10
11
01
01
10
10
10
10
01
01
01
01
00
10
01
00
00
11
10
00
10
11
00
10
00
10
10
01
10
00
01
10
11
11
10
00
00
11
10
10
00
01
01
01
00
10
10
00
10
11
00
01
01
10
10
00
00
11
01
00
10
10
10
11
10
00
00
00
10
10
10
10
00
01
00
01
10
00
10
00
01
00
10
10
00
10
10
10
11
00
01
11
10
00
00
11
10
10
00
01
10
00
10
11
10
01
00
00
11
11
11
10
10
00
10
10
00
00
00
10
11
00
11
11
10
00
10
11
00
01
00
11
00
11
00
00
00
11
10
00
01
10
01
10
11
00
00
10
11
01
01
10
11
11
11
10
10
00
01
01
10
10
10
00
10
00
00
00
10
11
00
00
10
00
01
01
10
00
11
01
11
10
00
10
00
01
00
00
10
10
01
00
00
11
00
00
00
00
11
11
01
00
11
11
01
00
00
00
11
11
00
00
01
00
01
11
00
10
11
10
10
01
00
11
10
10
10
11
00
01
10
10
10
10
01
00
00
00
01
11
10
10
10
00
00
11
00
10
11
01
10
01
00
10
01
10
10
00
00
01
10
11
00
11
00
11
11
10
10
00
01
10
11
00
01
00
11
00
00
00
00
10
10
00
01
10
10
10
01
01
00
01
11
11
01
00
00
10
10
00
00
11
10
10
01
11
11
10
10
00
10
10
10
00
00
10
11
00
10
00
00
00
00
01
10
10
10
10
00
00
10
10
01
11
10
01
00
10
00
00
01
00
01
10
10
00
10
11
01
10
10
11
10
10
10
10
00
01
10
10
00
01
10
00
00
11
10
11
00
00
10
01
00
11
10
01
01
11
00
00
10
00
11
10
01
00
01
11
01
01
00
01
00
01
10
11
10
01
00
10
01
11
01
01
00
10
01
00
00
01
10
00
00
10
10
00
00
11
00
01
00
00
10
01
00
10
01
00
00
11
00
00
10
00
10
00
10
10
11
01
00
10
10
11
10
10
00
00
00
00
10
00
01
11
10
10
10
10
10
00
11
10
10
01
10
00
10
10
10
00
00
11
00
11
00
10
00
10
11
00
10
00
10
00
00
01
10
00
10
10
10
10
10
00
11
00
00
01
00
00
01
10
01
00
10
00
10
10
11
00
10
01
10
00
11
10
00
00
01
10
10
01
11
01
00
11
01
00
10
00
00
10
00
10
10
10
10
00
11
01
10
01
11
10
11
00
10
00
01
11
00
01
00
11
00
10
10
01
10
11
01
00
10
11
10
00
11
10
00
11
10
00
10
11
11
11
00
11
11
00
00
10
11
00
00
10
10
00
01
01
10
00
10
10
01
10
10
00
00
10
10
10
00
00
10
10
00
11
00
11
10
01
01
11
01
10
10
10
10
10
00
01
11
01
00
00
10
10
00
01
01
10
11
00
00
00
00
11
01
01
11
10
00
01
10
10
00
10
10
10
10
00
00
01
00
10
01
11
10
11
01
11
11
00
01
00
10
10
01
11
10
01
00
00
10
00
01
10
11
01
11
11
10
00
00
10
10
10
01
01
00
10
11
10
11
00
00
01
00
11
10
00
00
00
11
10
00
10
01
10
10
00
10
00
00
00
10
00
01
10
10
10
00
10
11
11
01
10
10
01
11
10
00
00
00
10
10
01
11
10
00
10
01
10
00
11
11
00
01
00
11
10
01
01
10
11
01
01
11
10
00
10
00
00
01
10
10
01
00
01
10
00
11
11
00
11
10
00
10
00
00
11
00
00
00
10
11
00
11
11
11
10
00
01
00
10
11
01
00
00
10
10
10
01
01
11
10
00
00
01
01
10
11
00
00
00
01
10
01
10
01
10
10
00
00
10
00
00
11
00
00
10
10
10
10
01
00
01
01
10
10
10
10
11
00
00
10
11
11
11
10
11
10
10
00
11
00
01
10
11
10
00
10
10
10
01
01
10
00
01
00
01
00
11
10
00
00
10
00
00
01
10
10
00
10
11
11
01
00
10
11
00
10
01
01
10
10
01
01
11
10
00
00
00
00
10
10
00
01
10
00
00
10
00
10
11
11
01
10
00
01
00
00
00
00
10
10
00
10
10
01
00
00
00
10
00
11
10
00
00
00
10
10
00
11
01
00
00
01
10
01
00
00
11
00
01
10
00
00
10
10
00
01
10
01
00
00
10
10
11
00
10
10
00
00
00
01
11
10
10
10
00
10
10
00
00
10
10
00
01
10
01
00
01
00
01
01
11
10
01
10
10
00
00
11
10
00
01
01
10
01
00
10
10
11
10
01
00
00
10
01
11
10
11
10
11
00
10
10
00
00
10
00
00
01
01
00
01
10
01
00
10
10
10
00
00
10
10
10
00
00
10
10
00
10
11
01
11
10
01
00
00
00
00
10
10
10
00
01
10
11
10
11
00
01
00
11
10
01
01
01
11
00
01
10
00
00
10
10
10
00
00
11
00
11
00
10
11
00
00
10
00
00
00
10
10
00
10
00
11
00
01
00
01
10
01
11
01
00
10
10
00
00
01
10
11
01
00
00
01
10
11
10
01
11
10
01
10
10
10
10
00
00
00
10
10
00
10
01
11
00
10
10
00
01
00
11
10
01
00
00
11
10
00
01
10
10
01
00
00
10
00
11
10
10
11
00
10
01
10
00
00
10
00
10
11
00
10
10
11
01
10
00
00
10
10
11
10
00
00
11
01
10
00
11
00
11
00
10
10
01
10
00
00
00
01
11
00
10
10
00
10
10
00
00
01
00
11
10
11
00
10
00
10
10
01
00
10
10
10
10
10
00
00
00
10
00
00
10
00
11
00
00
00
01
10
10
10
01
10
10
00
10
00
01
00
10
11
00
01
11
10
00
10
10
00
10
01
00
11
10
00
01
11
11
10
11
10
00
01
01
01
11
00
10
00
11
01
10
11
01
11
00
11
10
00
01
11
00
00
10
10
10
00
00
10
10
00
10
10
10
01
00
11
00
00
01
00
10
11
11
00
00
10
10
10
01
11
11
00
01
10
10
00
10
00
01
00
00
11
10
01
11
10
00
00
10
01
00
11
01
00
10
00
11
11
00
01
10
10
11
00
00
11
11
00
00
10
01
00
11
10
00
11
10
01
11
11
00
10
10
00
10
01
01
00
11
10
01
11
10
01
10
11
01
00
11
10
10
00
00
11
10
11
00
01
01
00
10
00
00
00
00
10
10
01
10
10
01
01
00
10
01
11
11
10
11
01
00
10
10
00
00
10
10
10
00
00
10
11
01
10
00
00
11
00
11
01
11
10
10
00
01
00
11
00
00
10
01
00
11
00
00
10
11
10
10
10
00
10
10
10
10
00
10
10
01
10
00
01
11
01
11
10
00
00
11
00
00
10
11
11
11
00
00
00
11
00
10
10
00
01
00
10
11
10
10
01
00
10
00
01
10
10
10
01
11
10
10
01
10
10
00
11
00
10
00
00
00
10
10
00
00
10
10
10
10
10
01
10
10
11
11
10
10
10
01
00
01
00
10
00
00
00
10
00
00
10
10
01
10
01
10
01
00
01
00
00
11
00
10
00
01
10
01
00
00
10
10
00
01
00
10
10
00
11
10
00
01
10
10
01
00
10
11
11
00
00
01
10
00
00
11
11
01
00
11
11
01
00
01
00
11
00
01
10
00
00
10
10
10
00
00
10
00
11
10
11
10
10
00
11
10
10
00
00
01
10
00
00
11
01
00
11
10
11
00
10
10
00
10
11
11
01
00
00
00
01
00
10
10
01
00
01
11
10
10
00
00
11
10
01
00
10
10
00
10
10
00
00
00
10
01
10
00
00
10
00
10
10
00
01
11
10
01
01
11
10
11
00
00
10
11
10
00
10
11
11
00
01
11
10
10
00
00
01
10
10
01
01
10
10
11
10
00
10
01
00
00
00
00
11
00
00
11
10
01
01
10
01
11
00
11
01
11
10
00
10
00
00
10
10
00
01
00
01
01
10
11
00
00
11
10
00
00
11
11
10
01
11
11
00
10
01
11
10
00
01
10
10
00
00
00
11
00
10
10
00
10
10
11
00
00
10
10
01
00
10
10
01
00
10
10
00
10
10
10
00
01
11
10
10
00
10
00
10
01
10
10
00
11
01
01
00
11
10
11
10
01
10
11
10
00
10
10
10
00
10
10
00
00
00
10
01
10
10
11
10
10
11
00
00
10
11
00
11
10
01
00
11
10
01
11
10
00
01
01
01
00
10
10
01
10
01
01
10
10
00
11
10
00
00
11
00
01
01
10
10
11
01
00
00
00
00
00
01
10
10
01
00
10
00
01
11
10
00
00
00
11
11
01
10
11
00
11
00
00
10
10
00
00
10
00
10
00
00
00
10
11
10
00
10
10
11
00
00
01
11
10
00
01
00
00
10
11
11
10
11
01
00
11
10
11
00
11
00
01
01
10
10
00
01
10
00
00
10
01
00
00
10
11
11
00
10
10
10
10
11
01
01
00
10
01
11
10
10
00
01
01
00
10
00
10
00
00
10
10
11
11
10
10
11
11
11
00
01
00
10
00
00
10
10
01
00
10
00
10
00
01
00
11
00
10
11
00
10
10
10
00
11
11
00
10
11
00
00
01
10
01
10
10
10
00
00
11
00
00
00
00
00
00
01
10
11
00
00
00
00
10
11
10
00
01
01
01
00
10
10
11
10
00
00
10
00
00
10
00
10
10
11
11
00
01
10
11
10
00
01
00
11
01
00
10
10
10
10
00
00
10
10
01
00
11
00
00
01
01
11
01
10
10
00
10
10
11
00
00
10
10
00
10
10
00
11
01
00
11
11
10
10
00
00
10
11
00
01
11
01
10
11
00
10
10
00
10
10
00
01
10
10
01
00
10
10
11
01
01
01
11
00
10
01
00
10
10
01
00
10
10
00
00
11
00
10
01
00
10
10
00
10
00
00
10
11
00
10
11
00
11
10
00
10
10
01
00
01
10
00
11
10
10
10
00
00
01
10
01
11
00
00
00
10
01
00
00
10
11
00
01
10
10
10
01
10
10
01
10
10
01
10
00
00
10
00
01
10
00
00
10
00
10
10
00
11
00
10
10
10
11
01
00
10
01
00
10
10
10
00
00
10
11
01
01
00
11
10
10
11
01
10
00
00
00
11
11
10
01
11
01
01
10
00
10
10
00
11
10
01
00
10
10
01
01
11
11
01
11
00
10
01
00
10
00
11
10
00
10
01
10
11
00
10
01
10
11
01
00
00
00
10
11
00
01
10
01
10
01
11
10
10
01
01
10
10
10
10
01
01
10
10
10
11
00
00
10
00
10
10
11
00
01
10
00
00
11
10
01
00
11
01
11
10
10
01
00
00
00
01
10
11
00
00
11
10
10
11
11
01
10
10
00
10
11
01
11
10
11
10
10
11
00
10
00
10
11
11
11
00
11
10
01
01
01
00
10
01
00
00
11
10
00
00
10
11
00
00
00
00
11
11
10
01
10
10
00
00
10
10
11
00
01
11
10
10
10
01
00
11
11
00
00
10
10
00
10
11
10
10
10
10
00
01
10
10
01
10
10
00
10
00
01
01
11
10
00
00
00
00
00
10
01
10
00
10
11
10
10
10
10
11
00
00
10
10
00
00
00
10
00
01
00
01
10
00
00
10
10
10
10
00
01
10
10
01
01
00
00
10
01
10
00
01
11
00
11
10
00
11
10
00
00
00
10
10
11
10
11
00
00
00
10
00
11
11
00
00
00
10
00
10
01
00
01
10
10
10
11
01
11
11
01
11
10
10
10
00
10
10
01
00
00
11
00
10
10
11
01
11
10
11
01
00
00
10
10
11
00
01
10
11
00
01
10
10
11
00
00
10
00
00
10
10
11
00
10
00
00
00
10
00
11
10
11
00
00
00
00
10
00
00
10
11
01
10
00
00
10
00
10
10
01
00
10
00
11
11
11
00
01
00
00
10
00
10
10
00
01
10
10
10
10
00
00
11
10
10
00
01
10
00
10
10
10
10
00
00
00
01
01
00
01
11
11
10
00
00
11
10
00
10
10
00
10
01
10
11
10
11
01
00
00
10
00
01
01
10
00
00
10
00
10
11
10
00
00
10
01
10
11
10
10
01
00
10
01
00
11
11
00
00
10
10
10
10
01
10
11
10
10
01
01
10
10
00
00
10
10
00
01
10
10
11
11
10
01
11
00
10
10
01
00
00
10
10
11
10
10
11
10
10
11
10
00
01
10
10
11
10
00
00
00
01
00
00
11
10
10
10
11
00
00
11
10
10
10
10
00
00
10
10
10
01
00
00
11
10
01
00
10
10
11
10
00
10
00
01
10
00
10
10
11
01
00
01
10
00
10
10
11
10
01
00
00
10
10
01
00
11
11
01
00
10
10
10
11
01
01
00
10
10
11
10
11
00
00
00
10
11
01
01
10
00
00
10
10
11
01
10
11
00
11
00
11
00
11
10
00
10
10
10
00
00
00
10
00
11
11
11
10
01
10
10
10
01
01
10
11
01
00
00
10
10
01
10
10
00
00
10
00
10
10
10
10
10
01
00
11
00
01
11
00
01
00
01
11
10
00
10
01
01
00
10
11
00
00
11
00
00
10
10
10
10
10
00
10
11
10
01
10
10
00
10
10
10
00
01
10
00
10
00
10
01
11
00
11
10
10
10
11
00
01
10
10
10
10
00
01
11
11
00
11
00
00
00
10
11
00
00
10
10
01
10
01
00
01
00
11
10
11
01
01
01
10
00
10
00
01
01
00
10
00
01
11
00
10
00
00
11
00
10
00
01
10
00
10
01
00
10
10
10
00
10
00
00
11
11
10
00
10
00
10
10
11
01
10
10
00
11
10
00
10
10
00
00
10
01
01
00
11
00
01
00
00
10
00
10
10
00
00
10
10
00
00
00
11
01
10
11
01
01
00
10
10
00
10
10
10
01
00
01
00
10
01
10
10
00
01
00
11
10
10
11
01
00
11
00
01
00
11
10
01
00
11
11
00
10
00
01
10
10
01
01
01
10
10
00
00
10
11
10
00
11
00
00
10
11
00
00
00
10
01
00
00
10
00
00
01
10
01
10
10
00
00
10
00
00
01
00
00
10
11
10
10
10
00
10
10
10
00
00
11
00
11
10
10
10
10
10
11
10
11
01
00
01
10
00
00
00
10
10
00
00
00
01
01
10
11
00
10
00
00
11
11
11
01
10
10
00
00
11
10
00
01
10
10
10
00
00
00
10
10
10
01
10
01
10
11
00
10
11
11
00
11
11
01
00
11
01
00
11
10
01
00
01
10
11
00
01
10
00
00
10
10
01
10
00
11
01
00
10
01
11
11
00
10
11
01
10
01
00
11
01
10
10
11
00
00
00
00
00
10
11
00
00
00
11
10
01
01
00
10
11
10
10
11
11
00
10
10
01
01
11
10
10
00
00
00
11
10
01
01
11
01
01
00
10
11
00
00
11
10
00
10
00
00
00
10
10
00
00
00
10
11
10
00
10
01
00
11
00
10
00
10
10
10
00
01
00
10
00
00
00
01
10
10
11
00
11
10
10
01
11
00
11
01
10
01
00
10
00
01
10
01
00
00
01
10
01
10
10
00
10
10
01
10
00
00
00
10
01
00
10
00
10
00
00
10
10
11
11
10
00
01
10
00
11
10
00
01
11
00
01
11
00
11
00
01
01
10
10
00
10
11
00
10
10
00
10
00
11
10
10
00
11
01
10
11
10
01
10
10
01
01
10
10
01
10
00
00
01
00
11
10
00
11
00
10
10
01
00
10
00
10
10
11
00
00
00
10
10
00
00
10
10
00
11
00
00
11
11
10
10
00
01
00
10
10
11
10
00
00
10
00
10
10
01
10
00
11
01
10
11
01
01
10
01
10
10
11
01
00
00
00
11
11
10
00
00
00
01
00
11
10
00
10
11
11
11
10
01
10
10
10
00
00
10
00
00
00
00
10
00
10
01
00
00
10
10
10
10
10
00
01
10
10
11
11
10
10
10
00
10
01
10
01
10
10
10
00
00
00
01
10
00
10
00
11
11
00
11
10
00
00
11
01
01
10
10
10
00
10
10
00
00
11
01
10
00
10
00
11
10
00
10
00
00
00
01
10
10
10
10
10
00
00
10
00
00
00
10
00
10
10
00
01
10
10
10
01
00
01
10
11
01
10
10
00
00
10
00
00
00
01
10
00
00
00
11
10
01
00
01
01
10
10
01
00
01
01
10
10
00
11
11
01
00
00
10
00
10
10
00
00
10
10
10
01
10
00
01
10
11
10
00
00
00
10
10
00
01
00
10
11
11
10
11
01
00
01
00
10
00
10
00
11
10
01
10
10
00
00
00
01
00
10
10
00
11
00
10
10
11
10
10
00
10
00
00
10
10
01
11
10
01
00
10
00
10
10
00
01
10
01
00
00
00
10
11
11
10
00
10
10
10
01
00
10
00
00
10
11
11
10
00
00
00
00
11
10
01
01
10
10
10
10
00
10
01
01
00
01
10
01
11
11
11
01
11
10
00
00
00
10
10
01
01
11
11
10
10
10
00
00
00
10
10
00
10
01
11
10
01
00
01
11
00
01
00
11
01
10
11
00
11
10
00
00
10
00
01
00
11
10
01
10
11
11
00
11
10
11
10
11
00
01
00
11
10
00
00
11
10
00
01
10
00
10
00
00
01
10
10
00
10
11
01
00
00
10
01
11
10
01
10
10
11
00
00
10
11
10
01
01
11
10
10
01
10
00
01
11
10
00
10
00
00
00
00
11
10
00
01
10
01
10
00
00
11
00
10
00
00
10
11
10
10
01
00
10
00
01
01
00
00
00
00
10
11
11
01
00
11
01
00
00
10
00
10
00
00
10
10
01
10
00
00
00
10
10
00
10
01
11
01
00
11
10
00
10
11
00
01
10
11
11
01
00
11
11
00
01
10
11
01
10
11
01
01
00
10
10
10
10
00
00
00
01
00
11
11
00
10
00
11
10
10
00
11
10
01
10
11
01
00
10
11
00
00
00
01
11
10
00
01
00
11
10
00
01
10
10
10
10
00
10
00
01
10
10
10
00
00
00
00
00
00
00
00
00
01
11
10
00
00
10
11
00
01
01
00
00
00
00
10
10
00
00
10
00
00
10
11
11
00
00
10
11
00
00
10
01
10
10
11
01
00
10
01
01
10
11
11
10
00
10
00
11
00
01
10
00
10
11
00
00
11
11
00
00
00
11
11
00
00
01
10
10
01
00
01
10
11
01
11
11
10
10
00
10
11
10
00
00
10
10
10
00
11
01
10
11
10
00
00
10
00
10
10
00
00
10
10
11
00
00
00
10
10
10
10
10
10
01
00
10
10
00
01
01
00
10
10
10
00
10
11
11
00
10
00
00
10
11
11
00
10
01
10
10
00
00
11
10
01
11
11
01
00
01
01
10
10
10
00
00
11
10
00
10
01
11
10
10
10
10
00
00
00
10
01
00
10
00
10
01
00
01
00
10
11
01
11
10
10
00
00
11
10
11
01
01
10
01
11
10
10
00
10
11
00
10
10
10
10
10
01
01
01
10
00
01
00
00
10
10
00
10
11
00
10
10
11
10
01
01
10
00
10
10
00
01
10
10
00
00
10
00
10
10
00
00
11
10
11
00
11
00
01
10
10
01
00
01
10
00
00
10
10
10
01
01
11
00
00
10
11
11
00
01
10
10
00
10
11
00
00
10
10
00
01
10
11
00
10
11
00
10
11
10
01
00
11
11
10
10
01
00
10
10
00
01
11
10
00
00
01
00
10
10
10
00
11
00
00
01
10
10
00
11
01
01
10
11
10
10
11
10
00
00
10
10
11
00
11
11
00
01
10
10
11
01
01
00
11
10
00
10
01
01
10
11
01
01
00
11
10
10
01
00
10
00
10
11
01
10
10
10
00
00
10
00
00
01
00
01
01
10
01
01
00
10
10
10
11
00
01
00
10
00
00
10
10
10
00
10
00
00
10
00
00
10
10
10
00
10
01
10
01
10
00
01
00
00
11
00
00
11
10
00
10
00
00
11
10
00
11
10
10
10
00
11
10
00
11
00
01
10
00
00
10
11
10
10
10
11
01
00
11
00
00
01
00
10
11
10
01
01
00
00
10
11
10
00
00
11
10
00
11
00
00
10
00
10
00
00
10
00
00
01
00
00
01
00
10
11
00
01
01
10
10
10
10
00
01
10
11
00
00
01
01
11
10
10
00
10
10
00
00
11
00
00
10
10
01
00
10
00
00
10
00
10
10
10
00
11
00
11
00
00
10
11
01
00
10
10
00
00
00
00
00
01
10
10
10
10
11
01
00
00
01
10
01
01
10
11
11
00
10
10
01
01
00
11
01
01
10
00
00
00
10
10
10
00
00
11
00
10
00
11
10
01
10
01
00
00
11
10
00
10
01
01
11
11
10
01
10
10
01
10
01
10
10
00
10
01
10
11
01
00
11
10
10
10
11
00
00
10
00
10
10
00
00
10
11
00
10
11
10
01
00
10
11
10
00
00
00
10
00
00
11
10
10
11
10
10
10
00
11
00
00
10
11
11
10
10
00
10
00
00
00
11
10
10
11
00
10
10
00
00
00
10
01
11
00
01
10
11
11
00
10
10
10
00
10
01
10
01
00
11
11
11
10
10
11
00
00
00
00
11
10
01
10
00
00
11
00
00
10
11
10
10
10
00
10
11
00
00
10
10
10
00
00
00
10
11
10
11
00
01
11
11
10
00
11
01
01
10
11
00
11
10
00
11
10
10
01
10
01
01
11
11
10
00
10
01
10
00
00
11
10
01
00
00
11
10
10
10
10
00
00
11
11
01
00
11
10
11
10
00
00
10
11
00
10
11
10
10
10
10
10
00
01
10
00
00
10
01
00
10
01
10
01
00
11
10
00
10
00
00
00
11
10
00
11
11
00
01
10
11
10
00
10
01
01
00
11
10
01
01
11
11
01
01
10
00
01
00
11
11
00
01
00
11
11
10
01
10
00
11
10
00
10
00
00
10
10
01
10
10
10
11
10
10
10
01
00
00
00
01
00
00
00
10
10
01
10
11
00
00
10
00
11
00
10
10
10
10
10
10
00
00
11
11
11
10
00
00
01
00
00
10
11
01
00
00
10
01
00
10
00
10
11
00
10
00
11
11
10
11
00
01
11
11
01
10
11
00
10
10
11
00
00
01
10
11
00
00
10
01
10
00
11
10
11
10
10
10
00
00
10
01
00
10
10
11
00
10
00
00
00
00
10
11
01
10
10
00
01
10
01
01
00
10
10
01
00
11
10
10
10
10
00
00
10
11
10
11
00
00
10
00
11
00
10
11
00
10
10
11
10
10
01
00
00
11
00
00
10
10
10
00
11
01
00
10
01
11
01
10
10
01
01
00
11
10
10
10
00
10
10
00
00
00
11
10
10
00
00
01
10
00
11
10
01
10
10
11
10
00
00
10
00
00
10
00
10
11
10
10
00
10
01
00
00
11
00
10
11
10
00
10
01
01
00
10
00
00
10
00
11
10
01
10
00
10
01
00
11
00
00
01
10
11
00
01
11
11
00
11
00
01
10
01
00
10
00
00
10
11
11
00
11
10
10
11
10
00
11
10
00
01
10
10
10
10
00
10
00
11
11
01
01
10
10
00
00
10
10
00
00
10
11
10
01
10
10
10
00
10
10
00
00
01
00
01
11
11
11
10
10
00
11
00
11
10
01
10
10
10
01
10
00
00
10
11
00
10
10
00
00
10
10
11
00
00
10
11
10
10
01
00
01
00
10
00
01
10
10
00
10
00
00
11
00
11
10
00
10
11
00
10
01
00
01
11
11
10
00
11
00
00
11
11
01
00
00
11
01
10
01
10
11
00
01
10
10
01
01
10
11
10
11
11
01
01
01
01
00
11
00
00
10
00
10
10
01
10
00
10
00
00
10
00
00
01
10
10
10
01
10
00
01
00
11
01
11
01
00
10
10
00
01
10
00
00
00
10
11
10
10
01
11
01
00
01
11
00
10
10
00
01
00
10
10
00
11
00
00
10
00
00
00
10
10
11
00
01
00
00
11
11
00
01
00
11
01
00
10
10
00
00
10
11
11
00
01
10
00
00
10
00
00
01
10
10
00
01
00
10
10
00
11
10
11
10
00
10
00
00
10
10
11
00
00
10
11
00
00
00
00
00
00
10
10
00
00
01
11
10
00
11
01
11
11
10
00
01
10
10
10
10
01
00
00
00
01
00
10
11
10
01
00
11
00
01
01
00
10
11
01
11
11
00
10
00
10
00
00
10
10
01
11
10
00
10
10
10
10
00
10
00
00
10
10
00
11
11
10
10
10
00
11
10
11
01
00
10
00
11
01
00
01
00
01
00
11
10
10
00
01
11
10
00
01
11
01
00
11
01
00
01
00
10
10
00
00
10
00
01
00
01
10
11
10
11
01
11
00
01
11
10
10
01
01
10
00
10
00
01
01
00
00
00
11
10
00
01
10
00
00
00
11
00
00
11
01
10
00
00
01
00
00
00
00
10
00
00
01
00
00
00
10
10
00
01
11
10
00
01
11
00
10
10
11
00
01
00
11
00
00
10
10
10
00
10
00
00
00
10
11
01
00
11
10
10
10
01
00
10
10
00
00
00
10
10
10
00
00
10
00
00
10
11
00
11
00
00
01
00
11
10
00
00
01
00
10
01
00
00
10
10
10
11
00
10
11
10
01
10
10
00
00
10
01
01
10
00
00
10
10
00
10
10
01
00
01
10
00
10
10
01
00
00
11
00
00
10
01
00
00
01
11
01
10
00
01
10
10
00
10
10
10
10
00
10
11
00
10
00
10
11
00
10
00
10
10
01
10
00
01
10
11
00
10
00
10
00
10
00
00
11
00
00
10
01
00
10
00
10
10
10
00
00
10
10
00
10
10
01
00
11
11
00
01
00
11
11
11
00
10
00
01
10
10
00
00
01
11
01
00
11
00
01
10
10
00
11
10
01
00
11
10
00
00
10
10
01
10
11
00
10
01
00
10
00
00
10
00
10
11
10
01
10
00
10
00
01
01
10
11
10
00
11
10
01
01
10
10
10
10
10
10
00
00
10
01
00
11
10
01
00
00
10
10
00
10
10
00
00
10
00
01
11
11
00
00
11
10
00
00
10
10
10
01
10
00
01
10
10
11
11
10
00
01
00
01
01
10
10
00
00
00
00
00
10
10
10
10
01
10
00
00
10
01
01
10
11
11
10
00
00
01
01
11
10
00
00
01
00
11
00
00
10
00
00
00
00
10
00
10
10
00
00
00
00
11
00
10
11
01
10
00
00
01
11
11
11
00
10
00
01
10
10
10
00
10
01
00
01
01
01
00
10
10
00
11
10
10
11
01
00
01
01
10
01
00
01
10
00
01
01
11
10
01
11
11
10
00
00
10
00
00
10
11
11
10
10
00
10
01
10
01
00
11
10
10
00
11
10
10
10
11
00
10
00
00
10
01
11
01
00
10
10
00
01
11
11
01
00
10
00
11
00
10
01
10
10
00
01
10
11
10
00
00
01
01
11
00
01
11
10
10
00
00
10
11
00
10
10
11
10
00
11
00
10
01
10
10
00
00
10
01
00
11
00
00
01
00
01
10
11
01
11
10
00
10
10
00
01
00
11
11
00
00
01
00
10
00
00
11
10
01
10
00
11
10
10
10
11
00
01
00
00
01
01
00
00
00
00
00
01
10
10
01
10
01
10
00
00
00
01
10
11
00
10
01
00
01
11
00
01
01
01
10
00
01
00
11
11
10
10
00
01
10
11
10
01
10
10
00
00
10
11
10
00
00
00
00
11
11
00
10
01
01
00
11
10
10
11
00
01
00
11
00
10
10
10
00
00
11
10
01
10
00
00
10
10
11
00
00
01
11
01
10
01
00
00
00
01
10
10
10
00
01
00
11
00
01
01
00
10
10
10
00
10
11
00
10
00
00
00
00
00
01
10
00
00
00
10
00
01
11
01
00
10
11
01
01
10
00
11
11
00
00
10
10
01
00
01
10
10
11
01
11
00
10
10
00
11
00
00
10
10
10
01
11
01
00
00
10
01
10
10
10
00
01
11
10
00
10
10
00
01
10
10
10
00
11
11
00
10
00
10
00
01
01
10
00
11
00
01
01
11
10
00
00
10
10
00
00
10
00
00
11
00
00
00
00
00
10
10
00
00
10
10
11
11
00
10
01
01
00
00
00
10
11
10
11
00
00
10
11
10
10
10
01
01
00
00
00
10
10
00
10
10
01
11
10
01
10
01
00
01
01
00
00
10
00
10
10
00
00
10
11
01
11
01
00
01
01
10
10
00
11
10
11
00
10
01
01
01
10
00
00
00
00
10
00
10
00
10
10
11
00
10
00
01
10
10
00
00
11
10
00
00
00
10
00
01
10
11
10
00
10
10
10
00
00
11
00
00
11
01
00
01
00
11
10
00
01
10
10
00
10
11
11
00
00
11
10
11
00
10
10
01
10
10
11
01
01
11
00
00
11
00
00
01
10
10
11
11
00
10
11
00
00
10
00
00
01
10
10
00
11
01
11
00
01
10
11
10
11
10
10
11
01
00
00
00
10
10
00
10
01
10
10
01
11
10
01
00
00
10
00
10
11
01
10
10
10
00
10
01
11
10
01
10
00
10
11
01
01
10
10
10
11
01
01
10
10
00
00
00
00
10
11
01
01
00
10
00
10
01
10
00
10
10
00
01
00
10
00
01
10
00
00
10
00
00
11
10
01
11
00
00
00
11
10
11
00
11
00
00
00
00
11
10
10
10
00
00
10
01
00
10
00
00
00
10
00
00
00
11
10
00
10
11
00
00
11
01
10
01
10
11
10
00
00
00
10
10
10
01
01
11
10
00
10
11
00
01
00
11
11
00
00
10
00
10
10
00
00
00
10
10
00
01
00
01
10
00
10
00
11
00
01
10
00
00
01
10
00
10
10
00
11
01
00
10
10
10
11
00
00
11
11
00
00
00
11
01
00
01
01
10
10
00
11
11
01
01
10
01
00
10
10
00
01
10
10
11
01
11
00
10
10
11
11
10
00
01
11
10
00
00
10
01
00
01
11
01
10
00
01
10
01
01
10
10
00
11
10
00
01
00
11
11
00
00
00
10
10
00
00
01
10
10
10
10
01
00
00
00
10
00
10
10
01
11
10
11
01
00
10
00
01
01
11
10
00
01
00
00
10
11
10
00
10
10
10
01
01
10
10
10
00
00
00
00
10
10
10
10
00
11
01
00
10
10
01
10
00
01
00
11
10
00
11
11
00
00
00
10
10
01
00
10
11
01
11
11
00
01
10
11
10
00
10
00
10
00
00
10
11
01
00
10
00
00
10
10
00
01
10
10
11
10
11
10
00
00
10
11
01
11
00
11
00
10
10
00
11
10
00
01
01
00
10
00
10
10
01
10
01
10
11
10
01
11
00
00
11
10
11
01
00
10
11
00
01
01
10
11
10
00
00
01
10
01
10
00
10
00
10
10
00
10
00
00
10
10
11
00
00
11
00
00
01
00
11
10
01
00
01
01
11
11
01
11
10
10
00
01
10
10
01
00
01
10
00
10
10
01
10
01
01
11
01
00
10
00
10
10
10
00
10
10
00
00
10
00
00
00
11
00
00
01
11
10
01
00
10
10
00
10
10
00
00
00
00
10
01
00
10
11
00
11
10
01
01
10
11
01
10
10
01
10
11
00
00
00
11
10
11
11
00
11
00
00
10
00
00
10
10
00
00
00
10
10
00
00
00
00
10
10
00
10
10
10
11
00
00
11
10
01
00
01
01
10
11
01
11
10
10
00
00
10
10
11
01
00
11
10
00
11
11
11
00
01
11
10
11
00
10
10
11
01
10
00
00
00
00
01
10
01
00
00
10
10
10
10
10
01
10
00
00
10
10
10
10
00
11
10
00
01
01
01
00
10
11
00
10
11
10
00
01
10
00
11
00
00
10
00
10
00
00
11
10
11
01
11
00
00
00
01
00
10
10
00
00
10
00
00
10
10
00
10
00
11
11
00
11
00
01
10
01
10
01
00
11
11
00
00
10
00
00
10
01
10
10
01
00
00
01
00
11
11
00
00
00
01
11
00
00
10
00
11
01
01
11
11
10
11
01
11
10
01
10
10
00
11
00
01
10
11
00
10
00
00
00
00
10
11
10
00
01
11
00
10
00
00
00
01
11
11
10
10
10
01
11
00
01
00
10
10
10
00
00
00
11
00
00
11
10
11
11
01
01
00
10
10
11
01
00
10
10
11
00
01
10
00
01
11
01
00
11
10
10
00
01
10
11
00
00
01
10
10
01
11
10
10
00
00
10
11
11
10
10
01
00
10
10
01
10
10
01
10
10
01
10
11
10
01
01
10
00
01
00
11
00
00
00
11
10
11
10
00
11
01
00
10
00
01
10
11
00
00
10
10
10
00
10
11
10
10
00
00
00
10
00
00
10
10
00
11
11
11
11
01
00
10
11
11
10
00
00
11
10
10
01
10
10
11
10
00
00
10
10
00
01
10
10
00
10
01
10
11
00
00
11
01
00
11
01
00
01
10
00
10
10
00
10
10
01
00
00
10
10
10
00
10
11
10
01
00
01
00
10
00
00
10
11
10
00
00
10
01
10
00
00
10
00
00
10
10
01
00
01
00
10
10
10
10
10
10
10
01
11
00
01
10
01
10
10
10
10
01
00
10
11
10
10
10
10
01
00
10
00
00
00
10
00
01
10
00
10
00
10
10
10
01
00
10
10
00
00
01
10
10
10
00
10
01
10
01
01
11
10
10
01
00
00
10
10
00
10
11
01
11
11
11
11
00
10
00
00
10
10
01
10
10
01
00
01
10
10
10
10
00
01
00
10
11
00
01
01
01
11
01
00
10
01
00
10
11
01
00
00
00
00
01
00
10
00
10
10
10
00
00
10
00
10
00
01
00
00
11
00
00
10
10
10
10
00
11
00
00
11
11
10
01
00
10
01
01
10
11
00
00
00
11
10
00
01
10
00
10
01
10
00
01
10
00
10
10
01
11
10
10
11
00
10
10
00
10
10
00
00
10
10
10
10
10
10
00
10
10
00
01
01
10
10
10
11
00
01
10
01
01
10
10
00
00
11
01
00
01
11
11
10
00
00
10
10
00
01
01
00
01
10
00
00
11
10
01
10
00
11
10
11
00
00
11
10
10
00
01
10
11
00
00
11
00
01
00
10
10
11
00
10
11
01
00
10
00
00
10
10
10
00
10
01
00
11
10
00
01
10
10
01
01
11
11
01
00
10
10
10
00
10
10
00
00
10
11
01
01
00
10
10
00
10
10
00
01
01
01
11
00
10
11
00
01
11
11
01
01
01
11
11
01
10
00
00
10
11
00
00
11
00
01
01
00
01
10
10
10
00
00
00
10
00
00
10
10
00
10
00
00
10
10
01
01
10
11
01
11
11
00
10
00
01
10
00
00
10
10
00
01
11
00
01
00
11
10
10
00
00
10
01
00
10
01
11
10
00
00
10
10
10
00
10
11
11
01
10
01
00
10
10
10
10
00
00
00
00
11
11
00
10
10
10
00
01
01
00
11
00
00
00
10
11
11
01
00
10
00
10
01
01
10
10
00
00
11
00
11
10
00
01
01
00
10
00
01
10
01
01
11
00
00
11
01
10
10
01
01
11
10
00
00
10
11
11
01
01
10
10
10
10
10
11
10
00
00
10
00
11
01
00
00
10
10
10
10
11
00
10
00
00
11
00
00
11
10
01
11
00
00
00
10
10
10
00
10
11
10
00
10
10
11
10
00
01
01
10
01
01
10
00
00
01
11
00
00
10
10
00
00
00
01
11
11
00
10
00
00
10
10
00
11
10
01
00
10
00
10
00
00
10
10
00
11
10
10
00
00
00
10
11
10
11
00
00
01
10
10
11
01
01
11
00
00
10
11
01
01
10
11
11
00
00
11
10
00
10
00
00
00
10
00
10
10
00
00
10
10
01
10
11
00
00
10
10
10
01
11
10
00
01
11
00
10
11
11
00
01
10
00
10
01
10
00
11
00
10
01
10
10
00
00
01
00
11
10
00
00
10
00
00
00
10
10
11
00
00
10
01
10
11
00
00
00
10
10
00
10
00
11
01
00
10
01
00
01
10
00
00
10
10
11
01
01
00
10
10
10
00
01
10
01
01
00
10
10
00
01
10
10
10
11
00
01
00
11
00
00
10
00
10
11
00
01
11
11
10
00
01
00
00
10
10
00
10
11
00
10
10
11
10
01
00
01
11
11
00
10
01
10
10
01
01
10
00
00
00
10
10
11
01
01
11
10
11
10
10
00
11
10
00
10
10
00
11
10
01
11
00
11
11
11
00
01
10
11
10
01
00
10
01
01
00
10
00
11
10
00
11
01
10
10
00
10
10
00
00
01
00
10
10
10
01
10
01
00
00
11
10
01
01
10
10
00
10
10
10
01
01
00
00
11
01
11
10
00
00
10
00
00
10
10
00
01
01
11
11
11
11
01
00
10
10
00
01
00
11
00
11
10
10
10
10
01
00
01
01
00
01
00
11
10
01
11
01
00
10
00
01
11
11
00
01
11
11
11
00
11
11
11
11
10
00
10
11
00
00
01
10
00
01
10
00
01
01
10
11
01
10
11
10
00
10
00
00
01
10
10
00
10
10
00
01
10
10
11
00
11
10
00
00
01
10
10
10
01
00
10
00
00
00
10
10
01
10
10
11
10
10
10
01
10
10
00
10
11
00
00
10
01
00
11
10
10
00
01
00
00
11
11
10
00
00
10
10
00
10
01
00
11
11
11
00
00
00
01
10
00
00
10
11
10
11
00
11
10
11
11
10
00
00
10
11
11
11
01
00
10
00
00
10
10
00
01
10
10
10
01
01
00
11
01
00
10
00
10
10
10
00
10
11
10
00
00
10
00
11
10
00
10
00
00
10
10
01
00
11
01
01
11
10
01
01
10
00
01
10
10
00
00
10
10
01
00
10
01
11
10
10
11
00
10
10
01
00
00
00
10
00
01
10
11
10
10
00
10
00
00
00
11
10
00
10
01
00
10
00
00
00
01
01
10
00
00
10
01
00
11
11
10
10
00
10
10
00
01
01
01
11
10
00
10
00
10
00
00
10
10
11
00
11
11
10
10
00
01
00
00
00
10
00
10
10
01
00
10
10
10
10
10
01
11
10
00
10
11
00
11
00
00
10
11
10
10
10
00
00
00
00
10
00
00
11
11
01
00
10
11
00
00
01
10
10
00
11
01
11
01
01
11
00
00
11
00
00
11
10
01
00
10
00
00
11
10
00
11
00
01
11
10
11
10
00
11
10
00
00
01
11
11
00
01
00
00
00
00
10
11
00
10
10
00
00
11
01
10
11
01
11
00
10
01
10
00
10
11
01
00
10
10
00
00
11
00
10
11
11
01
10
01
11
11
00
00
00
11
00
00
10
10
10
10
10
00
11
11
00
01
00
00
00
10
00
10
00
00
10
10
01
00
10
10
10
00
00
00
10
10
01
00
00
10
00
00
11
11
00
00
10
10
01
11
10
10
10
10
10
10
00
10
10
01
10
11
11
00
11
01
10
10
01
00
10
00
10
10
00
00
11
01
00
00
00
11
00
01
10
01
00
10
00
00
10
00
00
10
01
01
11
10
10
10
00
10
10
11
00
00
00
10
01
00
10
10
11
01
00
00
01
10
00
10
01
01
10
11
10
01
01
11
00
01
11
10
00
01
10
11
01
01
00
11
11
10
01
00
00
00
00
11
00
01
11
10
10
10
10
11
00
00
00
00
10
10
11
10
01
00
01
01
01
10
10
10
00
00
10
01
00
10
11
10
10
11
00
10
10
00
11
10
01
00
11
01
00
01
10
11
01
11
10
01
00
10
00
11
10
01
00
10
01
00
10
10
10
00
10
00
01
11
11
10
01
11
11
11
00
00
10
10
10
10
00
00
11
01
00
00
00
10
00
01
01
10
00
10
11
10
10
11
00
01
11
00
00
10
10
10
01
00
10
10
10
10
10
00
10
01
10
00
01
10
11
00
10
10
01
00
01
10
11
00
00
11
11
11
00
01
00
00
10
10
10
01
00
11
00
00
11
01
00
00
01
00
00
11
10
10
00
00
11
11
00
00
00
11
01
10
00
10
10
11
10
11
00
00
10
10
01
11
01
01
00
11
10
00
11
10
00
00
10
11
10
00
11
11
01
01
11
10
00
01
01
10
10
00
11
11
10
00
10
10
10
00
01
10
10
10
10
11
01
00
10
00
00
01
00
10
00
00
11
10
01
00
11
11
11
10
10
10
10
11
11
00
00
10
00
11
10
00
11
10
00
00
10
11
10
00
01
00
01
01
10
00
11
00
10
00
01
10
01
00
10
10
10
00
00
10
10
11
10
00
01
10
01
00
10
01
00
01
10
00
00
10
10
00
00
11
10
00
00
11
10
01
11
01
01
11
00
01
11
00
00
10
10
01
00
10
11
00
10
10
10
01
00
00
11
10
01
10
11
10
11
00
01
00
00
10
11
11
10
00
01
10
01
01
11
00
01
01
11
11
00
11
10
00
00
01
11
10
10
00
10
00
00
00
11
00
00
01
01
00
10
01
11
10
00
10
10
11
00
01
11
00
00
10
10
11
10
00
01
10
01
11
00
11
00
10
00
00
10
10
10
00
00
10
10
10
10
11
00
11
01
10
00
10
10
11
00
00
11
01
01
00
10
01
11
10
00
11
11
10
00
10
00
01
01
01
00
00
10
10
11
00
00
10
10
10
00
10
10
11
00
11
00
00
00
10
00
11
00
00
00
00
00
01
10
10
11
01
10
00
10
10
01
01
11
00
01
00
11
10
00
10
11
00
00
00
10
10
01
10
00
10
10
00
00
11
10
11
10
10
00
00
10
10
00
01
10
10
01
01
10
10
10
00
00
10
11
10
10
00
10
01
11
01
01
10
10
01
00
10
01
00
10
10
10
00
10
10
01
10
11
00
10
00
10
10
00
00
10
11
10
10
00
11
00
01
00
10
11
00
00
10
10
00
10
01
00
10
00
00
01
11
00
01
10
11
01
10
01
10
10
00
10
10
10
11
00
01
11
10
11
00
10
00
00
11
11
10
01
00
00
01
00
00
00
10
10
11
00
10
00
10
10
11
10
11
01
01
10
10
01
00
10
10
00
10
10
00
10
01
10
01
00
00
00
11
10
10
00
00
01
00
10
01
10
10
00
11
10
00
00
10
00
00
11
10
10
00
10
00
10
01
00
01
00
11
10
00
01
10
10
01
01
10
01
10
10
10
01
01
00
10
00
01
11
00
10
10
10
10
00
00
10
11
01
00
10
01
01
10
00
00
00
11
00
11
10
00
01
00
11
10
10
00
00
01
00
10
10
00
00
10
01
10
01
00
10
11
01
10
00
00
10
11
01
00
10
00
01
10
01
11
11
00
01
00
10
11
01
00
10
11
01
00
00
00
10
01
11
10
01
00
10
11
11
00
01
01
00
01
01
00
10
00
10
11
00
01
00
00
01
01
10
10
10
00
00
10
00
00
00
10
00
11
10
00
00
01
11
01
11
10
01
10
00
00
10
10
10
00
00
01
10
00
00
10
11
01
01
11
11
00
10
00
10
00
00
10
10
10
00
00
00
00
10
11
10
01
01
01
10
00
00
10
10
10
00
00
00
01
00
01
11
10
10
00
10
00
00
11
11
10
00
00
10
11
00
00
00
10
10
11
01
10
00
11
00
01
10
10
00
11
11
10
00
01
11
10
00
11
10
10
00
00
01
01
10
10
01
00
00
00
10
10
11
10
00
10
10
11
00
01
00
00
00
01
10
01
10
10
10
00
00
10
00
00
10
10
11
10
10
00
01
11
01
10
00
11
01
00
00
10
10
11
00
01
01
10
10
10
00
01
11
10
01
10
00
11
11
01
00
11
11
00
10
10
11
00
01
11
01
11
10
11
10
00
00
00
10
00
00
10
00
00
00
00
10
00
00
10
10
10
01
10
00
10
00
00
10
11
01
00
00
10
10
10
11
10
11
00
01
10
00
11
10
01
00
10
10
00
00
00
00
11
10
01
10
11
10
10
00
10
11
00
00
11
10
10
00
11
00
00
01
11
10
11
11
00
10
10
00
01
10
00
10
10
10
10
00
11
10
10
10
10
01
00
01
00
01
00
10
01
01
00
01
00
01
01
10
10
11
00
00
01
10
00
00
00
00
11
10
11
00
00
00
01
10
10
10
01
11
00
10
11
10
11
01
01
00
00
10
01
01
10
00
00
00
10
10
01
10
00
00
11
00
10
10
10
00
00
01
10
10
10
10
10
10
00
11
10
10
10
00
01
11
00
01
10
10
01
00
01
11
11
01
11
10
00
01
01
11
10
00
01
10
11
10
10
11
00
00
10
10
00
11
00
11
10
00
00
00
00
10
10
10
00
10
10
10
01
10
00
10
01
00
11
10
11
11
01
00
10
00
00
00
00
11
10
00
01
00
10
01
10
10
00
11
00
10
00
00
00
11
00
00
11
11
10
00
01
10
01
00
01
00
00
00
10
10
00
01
01
00
10
01
01
10
10
00
10
00
11
10
10
01
01
10
00
00
00
10
10
11
00
01
11
10
11
00
00
10
11
10
00
00
11
01
11
01
10
10
00
10
00
00
11
00
10
10
10
11
11
10
00
00
01
01
01
01
11
10
10
10
10
00
01
00
11
10
00
01
11
00
00
01
00
10
11
10
11
10
00
00
10
11
00
10
10
00
10
01
00
10
00
10
01
00
11
00
00
01
00
00
00
00
10
10
01
00
00
00
00
00
10
00
10
01
00
00
11
01
10
10
01
00
10
00
10
11
10
10
00
10
11
01
10
11
10
01
01
11
10
10
00
01
01
11
00
00
10
00
00
10
00
01
10
10
11
10
10
11
00
00
11
10
11
01
10
10
10
10
00
01
10
00
01
01
11
10
00
11
00
11
10
00
00
11
10
10
00
10
10
11
11
01
10
00
10
01
11
01
00
11
10
01
01
11
10
10
01
01
00
01
10
10
01
11
11
00
01
00
11
00
01
10
00
01
10
00
00
00
11
11
00
10
00
10
10
10
00
00
10
11
11
01
10
11
00
00
10
11
11
11
01
10
10
10
10
00
00
11
00
11
10
01
11
10
10
10
00
11
10
00
00
10
11
11
00
10
11
00
10
10
00
01
10
10
00
00
00
00
10
00
00
11
10
11
10
10
00
00
10
11
00
00
01
10
10
10
10
01
01
11
00
11
10
00
01
11
10
01
00
00
11
10
11
10
00
01
01
10
00
00
11
10
00
00
10
00
11
01
11
00
00
00
10
01
00
00
10
10
00
00
10
10
00
00
01
00
00
10
01
00
11
00
01
10
01
01
10
11
10
10
11
10
00
10
10
00
00
11
10
10
11
00
10
11
10
00
11
10
01
10
00
01
00
10
01
01
10
10
10
01
11
10
11
10
10
00
11
00
00
10
10
00
10
00
10
00
10
00
11
10
00
00
10
11
00
00
01
11
10
00
00
10
00
00
10
01
10
10
00
01
01
00
10
10
00
10
00
01
01
10
10
00
11
11
00
10
00
00
00
11
01
10
01
00
01
00
11
10
01
10
01
00
10
10
00
01
00
00
10
11
01
01
01
11
00
00
10
00
10
10
00
01
01
11
10
10
00
10
10
00
10
10
01
01
10
00
11
01
10
10
10
01
00
11
00
00
00
10
11
01
01
10
01
10
01
10
10
00
01
00
11
11
00
11
10
00
11
00
11
00
00
10
10
10
11
01
01
10
01
00
00
00
10
00
00
11
10
10
10
10
01
01
00
11
00
00
01
10
11
00
10
10
00
00
10
10
01
01
00
01
11
11
10
00
10
10
00
00
10
10
10
10
01
00
10
11
10
01
10
00
10
10
10
00
00
10
01
00
11
00
00
01
01
01
10
10
10
01
10
11
00
01
01
11
10
00
10
10
00
01
00
10
00
01
10
11
00
11
00
10
01
01
00
11
10
01
11
01
00
01
00
10
01
10
00
00
00
10
10
10
00
01
10
01
10
00
11
00
00
00
10
10
10
00
00
00
10
00
10
10
10
00
00
10
01
00
00
10
00
00
00
10
00
11
11
10
10
11
00
11
10
00
10
10
01
00
10
10
10
10
11
11
00
10
10
00
00
10
11
00
01
10
00
00
01
10
10
10
00
10
10
00
00
11
11
00
00
10
01
01
10
01
00
11
00
11
10
01
10
11
10
10
11
00
10
10
00
00
10
00
00
00
10
11
00
10
10
00
00
10
10
01
00
10
00
00
10
11
10
10
00
01
11
11
00
01
11
00
01
10
10
01
00
11
00
01
10
10
01
01
01
11
10
10
11
00
01
01
11
11
11
10
10
10
01
01
01
11
10
01
10
11
10
00
00
10
00
00
10
00
00
10
00
10
10
10
11
00
11
10
00
01
10
10
00
01
00
00
11
00
00
11
00
01
01
00
10
10
10
00
00
00
10
10
00
10
00
10
10
00
01
10
10
10
00
00
11
01
11
00
00
11
10
01
00
10
00
10
11
00
01
11
10
00
11
00
10
10
01
00
11
00
10
10
11
11
11
00
01
10
11
00
01
11
11
10
01
10
10
00
00
11
00
01
00
11
10
00
11
10
01
01
01
11
00
11
10
10
00
00
00
00
10
01
01
00
10
00
10
01
10
10
00
00
00
00
10
00
11
01
01
00
10
11
01
11
00
01
11
00
00
00
10
10
10
00
00
00
11
10
11
10
00
00
10
10
10
00
00
10
01
11
00
11
00
10
10
00
10
10
10
01
11
10
01
11
00
10
10
01
00
10
10
10
00
10
01
11
10
01
00
11
10
01
00
10
00
00
10
00
10
10
11
00
10
10
01
10
11
01
11
01
00
11
01
00
00
00
11
11
11
01
01
11
10
00
00
10
10
01
01
10
10
01
10
00
11
11
10
00
00
10
00
00
11
00
00
00
11
00
11
11
10
11
00
00
00
01
10
00
10
10
00
01
01
10
11
01
10
00
00
00
10
01
00
10
10
01
01
11
00
01
01
10
01
00
10
00
10
10
01
01
11
11
00
00
11
00
10
00
01
10
11
10
00
00
11
11
00
00
10
01
10
10
00
01
00
11
00
10
11
01
11
00
00
10
00
11
00
00
00
11
10
00
11
10
00
10
10
00
01
11
00
11
11
10
00
11
10
10
10
00
00
10
00
00
11
10
00
00
01
00
00
10
10
11
00
11
00
11
10
00
10
10
01
10
10
01
01
00
10
00
01
10
00
10
00
00
01
00
10
10
00
01
10
00
00
10
01
10
00
00
10
11
00
00
00
10
01
10
10
00
10
00
00
11
10
00
10
01
10
00
10
10
10
10
10
10
00
10
10
10
10
01
01
01
01
10
10
00
10
00
00
10
11
11
10
00
10
00
01
10
01
01
11
10
10
10
10
00
00
11
11
11
00
00
01
01
10
01
01
10
10
00
11
00
01
10
01
00
10
00
00
01
10
00
01
01
10
10
01
10
00
10
11
00
00
11
10
01
11
01
00
10
10
00
11
10
01
00
10
00
00
00
11
10
01
11
00
10
11
00
11
00
00
01
10
11
10
01
00
00
01
10
00
00
11
10
10
01
00
01
00
01
00
10
00
00
01
10
00
00
10
11
10
00
11
10
10
00
10
11
01
00
10
10
01
00
00
00
10
10
01
00
00
10
10
11
00
00
01
00
00
00
00
10
11
00
01
11
10
00
11
10
00
01
10
10
10
00
10
10
00
00
11
11
00
10
00
00
10
00
11
00
00
10
01
00
11
01
10
11
01
01
11
00
00
00
11
10
11
11
00
01
10
10
11
00
00
00
00
10
10
01
00
11
00
00
10
10
00
01
10
11
00
10
11
11
11
00
01
00
00
01
01
11
10
10
01
01
11
10
00
10
10
10
10
10
00
00
00
10
00
00
00
11
10
10
00
00
11
00
00
10
11
00
00
01
00
11
01
00
11
10
11
10
10
01
00
01
00
00
11
00
00
10
10
00
00
11
10
01
00
10
01
10
10
00
00
01
10
10
10
10
01
10
00
11
11
00
00
10
01
00
00
00
10
00
00
10
10
10
00
11
00
11
10
01
01
00
01
11
01
00
00
10
11
00
00
01
10
01
10
00
00
10
11
10
10
00
00
00
10
10
10
11
10
10
11
10
00
00
10
01
00
00
00
10
01
11
11
11
11
10
00
00
11
10
01
00
11
11
10
00
11
01
00
10
10
11
01
11
10
00
00
00
01
10
11
00
11
11
00
11
00
00
11
00
11
10
01
10
10
11
00
00
11
00
00
01
11
01
11
11
00
11
10
00
01
10
10
01
10
01
11
10
10
00
10
10
10
00
00
00
00
10
10
10
01
10
00
00
10
10
01
00
01
10
11
01
11
11
01
10
00
00
10
10
01
01
10
11
10
10
10
10
10
00
11
10
00
00
11
00
10
10
00
01
00
10
11
01
01
00
00
10
00
10
10
00
11
11
11
00
10
11
10
10
01
00
01
10
01
10
11
01
11
00
00
01
11
10
00
00
10
01
01
10
10
00
11
10
00
10
11
00
11
10
10
00
00
00
10
00
01
10
10
10
10
10
10
10
00
01
11
01
11
11
00
11
11
00
11
00
00
10
10
01
11
10
01
10
11
01
00
00
10
10
00
10
01
10
01
01
00
10
01
11
10
11
00
00
00
01
10
11
11
01
10
11
10
01
10
11
11
00
10
11
10
10
00
00
11
00
00
10
00
00
00
10
00
01
10
00
10
10
10
10
11
00
10
10
01
11
10
11
00
10
00
01
00
10
10
00
00
01
11
11
01
10
00
01
10
10
00
11
10
00
10
10
10
00
10
00
01
00
11
00
01
10
00
00
11
10
10
00
00
01
10
10
10
11
01
00
11
10
10
00
11
10
00
10
00
00
11
10
11
10
00
10
10
10
01
00
10
10
01
01
00
11
11
10
00
00
11
11
11
00
00
10
10
10
00
10
10
10
00
10
00
10
11
01
10
11
01
01
10
00
11
10
00
00
01
10
11
10
00
01
01
10
11
00
11
11
01
01
00
11
11
00
01
00
10
10
10
01
10
11
01
00
10
00
10
10
10
00
10
10
10
11
00
10
11
01
00
10
00
00
10
10
00
11
00
11
10
00
00
10
10
01
00
10
11
11
11
11
10
01
11
10
00
11
10
11
00
00
11
10
00
00
11
10
10
01
00
11
11
10
11
11
00
10
10
00
10
11
01
11
10
11
00
00
00
00
10
10
11
00
00
10
10
00
10
00
01
10
01
00
11
01
01
01
11
10
00
10
10
10
00
00
10
10
00
11
10
01
10
11
10
10
10
00
10
11
00
00
11
00
10
10
10
00
00
10
11
10
00
11
10
00
11
10
00
00
10
00
01
11
00
10
00
11
00
00
10
00
10
11
11
10
10
00
00
00
00
11
11
00
00
11
00
10
10
00
01
10
10
10
01
00
10
10
00
11
01
01
10
11
10
10
10
00
01
10
11
00
10
10
00
00
10
11
00
00
10
01
10
10
11
00
00
10
10
10
10
00
00
01
10
10
01
00
10
01
00
10
00
00
00
10
11
10
00
10
10
00
00
10
00
01
11
10
10
01
10
01
00
01
11
11
00
00
01
11
01
01
11
10
01
10
01
10
10
00
01
10
00
00
01
10
10
00
11
10
00
10
00
01
00
00
11
00
11
01
00
10
10
01
00
01
10
10
00
00
10
00
01
00
11
10
01
10
11
10
01
01
10
00
00
10
10
00
01
01
11
01
01
00
10
10
10
01
00
10
10
01
10
10
11
00
00
00
11
00
10
10
00
10
00
11
11
00
00
10
10
11
11
10
00
10
00
10
10
10
11
01
01
01
10
00
00
11
01
00
10
10
01
10
00
00
10
01
01
01
00
10
10
00
10
01
10
10
00
00
10
10
11
00
00
01
10
11
10
00
00
10
10
00
10
11
10
01
00
01
11
00
01
10
01
00
10
00
01
11
10
10
00
10
10
01
11
11
01
00
01
10
10
10
10
01
00
11
00
01
11
00
00
10
00
10
01
00
11
00
00
10
01
11
00
01
10
00
00
00
10
00
01
11
10
00
00
01
00
00
11
10
11
11
00
00
00
10
10
00
01
01
10
11
10
00
01
01
10
00
10
01
10
01
00
10
01
10
10
01
10
01
00
10
10
10
11
10
11
00
00
10
10
00
00
10
10
10
00
00
11
01
00
10
11
01
10
01
00
10
10
10
00
01
10
00
00
10
10
00
00
00
10
10
10
00
01
00
10
10
11
00
01
01
00
10
10
00
10
00
01
10
01
10
00
00
11
01
11
00
00
01
10
10
10
10
00
01
11
00
10
11
10
10
01
00
00
10
00
10
00
11
10
11
00
10
10
00
00
10
10
00
01
01
01
11
01
10
00
11
10
11
00
00
11
10
00
00
00
11
10
11
10
00
11
11
10
11
00
00
10
00
00
10
00
00
11
00
01
10
11
11
00
01
11
01
11
10
00
11
11
11
11
01
00
10
01
10
11
00
01
11
10
01
10
00
00
10
11
00
11
11
10
01
10
00
01
00
00
01
10
10
11
00
10
11
00
10
00
00
00
00
10
11
10
10
00
00
10
01
00
11
10
00
00
00
00
00
10
10
00
00
10
10
01
10
00
00
11
11
11
10
01
10
10
01
10
01
01
10
10
11
00
00
11
10
10
00
00
11
00
00
00
10
10
11
00
00
00
10
10
10
00
00
00
11
10
00
11
00
01
10
00
10
10
10
10
01
10
01
00
10
01
00
11
01
11
10
10
01
00
10
10
00
00
00
00
10
10
00
10
10
00
10
11
00
00
00
10
10
01
10
10
00
00
10
00
11
10
01
00
10
10
01
10
00
01
00
11
10
00
10
11
10
10
11
01
00
00
10
00
00
01
11
10
11
11
10
01
00
11
10
01
01
11
11
11
00
00
01
10
10
00
11
10
00
10
00
00
11
00
11
10
00
11
01
10
10
10
00
10
10
00
00
11
00
00
10
10
11
10
10
11
00
00
10
00
01
00
11
11
10
10
00
10
00
11
11
10
00
00
00
10
00
00
10
10
01
00
11
00
11
11
10
01
01
10
10
10
00
10
01
00
10
00
00
10
00
01
11
01
10
00
00
11
00
11
00
10
10
00
00
00
00
10
10
10
01
01
10
10
11
00
10
10
01
01
10
00
10
10
00
00
10
00
00
00
11
00
10
10
01
00
00
11
10
00
00
10
10
01
10
00
01
10
11
11
11
01
00
10
00
10
00
00
11
10
11
00
00
00
10
01
11
11
00
11
11
10
01
00
00
11
10
00
11
11
11
10
01
00
01
10
11
01
11
10
00
10
11
10
11
01
01
10
10
11
10
00
01
00
11
01
00
10
11
00
11
10
00
00
11
10
10
10
10
00
00
01
00
10
10
11
10
00
01
10
10
00
01
11
00
00
10
10
11
10
01
10
01
11
00
00
00
10
10
00
01
10
11
01
00
10
10
10
00
00
00
10
00
00
00
01
00
00
10
10
11
00
00
11
10
11
11
00
00
00
01
11
00
10
11
00
00
01
00
11
00
00
00
01
10
11
10
01
01
11
00
10
10
01
00
10
10
10
11
00
10
00
10
10
01
00
10
10
00
10
00
10
11
10
11
10
10
00
00
01
10
10
00
00
10
10
10
00
11
10
01
00
00
00
00
01
10
11
00
10
11
00
11
11
10
00
00
00
11
00
10
10
00
11
10
01
00
10
10
01
00
10
01
10
10
11
01
11
00
11
00
00
00
00
10
11
10
10
00
11
01
01
00
00
11
10
00
00
11
11
10
10
00
01
10
00
10
10
10
10
00
00
11
10
00
01
00
11
10
01
10
11
11
01
00
10
10
11
10
01
00
10
10
00
01
00
00
10
10
01
10
00
10
00
00
10
10
00
10
00
00
00
01
11
01
11
00
00
11
00
01
10
00
00
00
00
10
10
00
11
10
10
00
00
10
01
11
11
11
10
10
10
11
01
00
00
10
01
00
11
00
10
11
11
11
00
10
10
00
00
00
00
10
00
01
11
00
00
00
10
11
00
00
00
00
00
11
00
00
10
11
01
11
01
10
00
11
10
10
10
00
11
11
00
00
00
00
10
01
10
11
00
10
00
10
10
01
10
11
00
11
00
00
01
10
01
00
01
00
00
00
10
00
11
11
00
11
10
00
01
10
00
11
00
10
00
00
10
10
10
00
01
10
01
11
01
00
11
11
01
10
10
01
00
11
10
01
00
01
01
01
01
00
00
01
11
10
11
00
00
10
00
11
10
01
00
10
10
01
00
10
00
00
00
10
11
00
11
00
10
10
00
10
10
00
01
11
01
01
01
10
00
01
11
01
00
10
01
10
10
00
00
10
00
10
10
00
00
00
10
00
00
01
11
11
01
11
00
00
10
10
00
01
10
11
00
00
10
01
00
11
10
00
00
10
10
11
00
00
10
10
01
10
01
01
10
00
10
01
00
10
10
00
01
10
00
00
00
01
10
10
11
10
10
11
01
00
10
00
11
00
10
10
00
10
10
11
00
00
00
11
00
10
01
00
10
01
01
10
10
00
00
11
10
00
00
00
10
11
00
10
00
11
11
10
10
00
00
11
01
00
11
00
01
00
10
10
00
10
11
00
00
11
10
01
00
01
10
10
10
00
01
00
11
11
01
10
10
01
10
10
00
01
00
11
10
00
00
10
10
11
01
00
00
01
01
11
10
00
00
11
10
01
11
10
00
00
10
00
10
10
11
00
11
00
00
10
10
10
11
01
00
11
10
10
10
00
10
01
01
11
10
01
00
00
10
01
00
10
10
10
00
01
00
00
01
10
00
10
01
00
11
10
11
00
00
10
00
10
11
00
01
10
11
00
11
10
00
01
10
00
00
11
01
10
10
00
10
10
01
10
11
00
10
00
10
10
00
00
00
10
10
11
11
00
11
11
01
00
10
01
00
00
10
10
00
00
00
00
01
00
01
10
01
00
10
00
11
10
00
01
00
10
11
00
10
10
11
01
01
00
00
10
01
00
10
11
00
00
00
10
10
00
00
10
01
10
10
00
10
01
11
11
00
11
10
10
10
10
11
11
00
01
11
11
11
00
10
10
10
00
00
10
10
00
01
10
00
00
11
00
01
10
10
00
00
11
10
01
01
10
00
11
00
01
00
10
01
11
10
01
11
01
10
10
00
10
01
01
11
10
10
00
00
00
10
10
10
10
00
11
10
00
10
01
10
00
10
11
11
00
00
10
00
10
10
00
01
00
10
11
10
11
00
01
10
10
00
00
10
10
01
01
10
11
10
11
11
00
00
00
10
11
11
10
00
10
11
01
01
00
00
00
11
10
00
00
11
10
00
11
11
01
01
10
01
10
00
10
10
00
10
11
00
00
11
01
11
01
00
10
11
00
10
10
01
00
00
00
11
11
00
00
00
00
11
11
11
10
11
00
10
01
00
11
10
10
11
10
10
10
00
00
10
10
01
10
00
10
10
00
10
00
11
00
10
00
10
10
10
00
00
11
11
10
11
10
00
11
10
10
00
00
11
11
10
01
00
00
00
10
00
01
00
10
10
00
01
10
00
00
01
11
10
00
01
10
00
11
01
01
01
00
10
00
10
10
00
00
10
00
10
01
10
10
10
10
10
10
10
00
11
00
01
01
00
00
00
01
00
00
11
01
01
11
11
01
00
00
00
11
00
10
10
00
10
10
11
00
11
00
10
10
00
11
10
01
00
01
00
00
10
01
11
11
01
00
11
10
10
00
10
10
01
00
11
00
11
11
10
10
00
00
10
00
01
11
11
01
00
00
01
00
10
00
01
10
10
10
00
01
01
00
10
01
10
00
00
01
10
11
10
10
10
00
11
10
10
00
00
01
10
10
01
01
11
10
10
10
11
00
01
01
10
10
10
00
10
00
00
11
10
01
00
00
10
00
11
11
10
01
00
00
00
10
10
11
01
01
00
00
00
01
11
10
01
00
00
00
00
10
01
11
10
11
00
01
00
00
00
11
11
01
10
11
01
00
00
10
00
00
11
11
11
00
00
01
01
01
10
00
01
01
11
10
10
11
01
11
00
00
00
10
00
11
11
01
10
10
00
10
10
00
00
10
11
10
00
00
11
00
11
01
10
00
10
10
01
01
01
10
10
10
10
11
10
00
01
10
10
10
01
01
11
10
11
11
11
10
10
01
01
01
10
01
10
11
00
10
00
01
10
11
10
01
10
10
00
10
00
00
10
01
00
01
10
01
00
10
11
10
00
01
00
10
01
00
00
00
11
01
10
11
10
00
00
01
00
10
10
00
00
00
00
11
00
01
01
00
00
00
10
00
01
10
11
01
00
10
00
10
10
00
10
01
00
10
01
10
00
00
00
00
00
10
10
00
00
01
00
10
00
10
00
11
11
00
01
10
10
10
11
00
10
00
00
10
00
00
00
10
10
11
01
10
10
10
11
01
10
00
10
01
01
10
00
00
11
11
00
00
10
00
10
11
00
10
01
10
00
10
11
00
01
10
10
11
11
01
00
01
10
10
00
01
01
11
10
00
01
10
10
00
11
11
00
01
00
10
10
01
00
11
11
00
10
10
11
01
11
00
01
00
00
00
10
11
00
11
11
10
00
10
10
00
11
00
01
00
11
01
00
11
10
11
00
10
10
01
00
00
11
11
11
11
00
00
11
10
01
11
10
01
00
11
00
00
10
10
01
00
11
10
00
01
10
11
00
11
10
00
00
11
10
01
00
10
10
00
00
11
10
00
00
00
00
10
10
00
10
01
00
10
10
11
11
10
00
10
01
10
10
00
00
11
00
00
11
10
01
11
10
01
00
00
00
10
00
00
00
10
00
00
11
10
11
01
01
10
10
00
00
00
10
00
00
00
00
11
00
00
10
00
00
10
00
01
00
01
10
00
00
10
10
11
11
10
10
01
00
10
00
00
11
00
00
01
10
00
10
00
00
10
10
10
00
00
00
11
10
10
10
00
10
10
11
01
00
00
01
10
10
00
11
11
01
01
00
10
11
11
01
01
00
10
10
00
10
01
10
11
10
00
11
10
10
01
01
11
11
10
00
10
00
10
11
00
11
00
01
11
00
01
00
00
01
10
10
11
00
01
11
10
10
00
00
10
10
01
10
11
00
00
00
10
00
11
10
00
10
11
11
00
01
11
01
10
10
00
01
00
11
10
01
10
00
00
10
10
00
00
00
10
00
01
01
00
10
00
01
10
10
11
10
00
00
01
10
11
00
00
11
00
01
11
00
00
10
00
10
10
01
00
00
11
10
01
01
10
10
00
00
11
11
11
10
00
10
00
11
00
01
10
11
00
00
00
11
01
01
00
11
10
00
10
10
10
11
00
00
00
00
00
00
00
11
11
00
10
00
11
10
11
00
00
10
00
01
00
00
00
10
10
01
00
10
00
00
10
01
11
10
00
00
10
10
00
10
10
00
10
00
00
11
00
01
00
00
10
11
00
00
11
10
01
01
11
01
10
10
11
00
00
00
00
10
10
10
10
01
11
10
01
11
11
10
10
11
00
10
10
00
10
01
11
00
10
10
11
10
01
10
11
10
00
01
11
01
01
10
10
10
00
10
10
00
00
01
00
11
10
00
00
00
11
00
00
11
00
10
00
11
00
01
01
11
10
10
00
10
10
10
10
00
01
00
10
10
00
01
01
01
00
10
10
00
10
10
00
11
10
10
00
10
10
00
11
10
11
00
01
10
01
01
10
10
01
00
11
01
10
10
10
10
00
00
11
00
10
01
11
11
00
00
00
10
10
10
01
10
01
10
10
00
10
10
10
11
10
10
10
00
10
01
11
10
11
10
01
10
01
00
11
00
00
10
10
00
10
01
00
10
00
10
00
01
00
10
00
10
10
10
00
01
10
10
10
11
10
11
00
01
11
01
01
00
00
10
10
10
10
00
00
11
00
00
00
10
10
11
10
10
10
00
11
11
11
01
01
10
00
01
11
10
01
01
11
10
01
10
00
10
00
01
01
10
11
10
00
00
10
10
01
00
10
00
00
10
11
10
00
11
11
10
10
00
11
00
00
10
11
10
11
00
01
11
10
10
00
00
00
00
10
00
00
10
00
10
11
11
01
00
01
10
10
01
01
00
10
11
10
00
11
00
00
10
11
10
11
01
10
00
11
00
01
00
10
01
10
10
00
10
10
00
10
10
00
01
11
10
00
00
00
11
01
10
01
10
10
00
00
00
10
10
01
11
10
01
10
00
01
00
00
01
00
10
10
00
10
00
01
00
00
01
00
10
10
00
11
11
10
01
01
11
00
11
10
00
00
10
00
10
11
11
10
01
10
11
11
00
00
00
10
10
10
00
11
00
01
00
00
10
10
11
00
00
10
01
00
00
00
10
10
00
00
10
10
10
10
10
11
00
00
00
00
10
01
11
10
00
11
10
10
00
01
00
00
11
10
11
00
01
11
01
10
01
01
10
11
10
00
01
00
10
00
00
10
10
00
00
11
00
11
10
01
10
01
10
11
01
00
10
10
11
01
10
00
01
10
10
00
00
11
01
10
10
10
10
11
10
01
00
10
10
10
01
00
10
11
10
00
10
10
11
00
00
10
10
01
00
10
11
00
00
10
11
10
01
01
10
01
01
11
11
00
11
10
00
11
10
01
10
01
00
10
11
00
10
10
01
00
10
10
10
00
01
00
10
10
01
10
00
01
00
10
11
10
10
00
11
10
10
10
00
00
00
10
10
01
11
00
00
11
00
10
01
00
00
01
01
11
00
00
10
11
01
11
10
01
00
11
00
01
00
11
10
00
00
11
11
00
10
10
01
01
10
10
11
10
11
10
11
01
11
01
10
10
01
11
10
00
01
00
10
11
01
10
00
00
10
00
11
01
00
10
10
00
01
00
00
00
11
00
11
10
00
00
00
11
00
00
00
11
00
01
00
00
00
10
00
11
10
11
11
00
11
00
10
01
00
10
01
00
11
10
10
01
00
10
00
10
00
01
11
10
10
00
11
01
10
00
00
00
00
11
11
00
01
01
00
00
00
11
11
00
01
00
00
10
10
00
00
11
10
11
11
01
00
00
11
10
00
00
11
01
00
11
11
10
00
00
00
00
00
10
10
00
00
10
11
00
10
01
10
11
10
00
10
10
00
10
10
00
10
10
00
11
11
00
00
10
10
00
00
10
01
00
11
00
10
00
00
10
00
11
10
00
10
11
00
11
10
01
10
11
00
10
10
00
11
00
10
10
11
00
01
01
01
01
01
01
00
11
00
00
10
11
10
00
00
10
10
10
10
00
00
11
10
00
00
10
00
01
11
00
11
00
00
00
10
10
00
10
11
10
10
00
11
01
01
00
10
00
10
10
10
00
00
10
00
01
11
00
00
00
11
00
11
10
11
11
10
11
00
01
01
11
10
00
00
10
11
00
01
10
00
11
10
00
00
10
10
10
10
00
11
10
10
11
00
10
01
01
00
10
10
01
10
00
10
11
00
00
11
01
00
00
00
10
10
10
11
00
01
10
01
00
10
10
10
00
00
10
11
00
01
00
11
11
00
11
00
01
10
00
00
00
11
01
11
11
00
01
00
00
10
10
00
00
11
00
10
10
00
11
11
00
11
11
11
10
00
10
01
10
00
10
01
11
00
10
00
00
10
00
00
01
11
00
10
11
10
00
10
10
00
11
00
00
10
10
00
00
10
00
01
01
00
00
01
00
00
10
11
10
01
00
00
10
11
11
00
01
10
00
01
10
00
00
00
11
00
01
11
10
11
00
01
11
11
01
10
00
00
11
10
10
00
01
10
10
00
10
10
10
00
00
01
00
10
11
01
11
11
00
00
11
10
10
01
00
10
00
10
11
00
01
10
00
00
00
11
00
10
11
00
00
00
00
10
11
10
10
00
11
00
10
10
11
00
00
01
10
11
10
00
00
10
10
10
10
01
10
01
11
10
10
00
00
00
01
00
10
00
10
10
01
01
11
10
00
01
10
10
00
11
10
10
01
00
11
01
01
00
00
11
01
00
10
11
00
10
10
00
01
00
11
10
01
10
10
00
10
11
10
10
00
10
00
10
01
01
00
01
00
10
00
10
11
00
00
10
00
11
10
00
00
10
10
00
10
00
10
00
11
00
01
10
10
10
00
10
10
10
00
10
00
00
01
01
10
00
11
10
00
00
10
11
10
11
01
10
00
00
11
10
10
11
00
10
10
10
10
00
11
11
10
00
01
00
01
10
01
00
11
11
00
10
10
00
11
00
01
10
11
00
10
10
01
10
10
01
01
10
10
00
11
10
00
10
11
00
00
00
01
10
00
00
11
00
01
10
10
00
01
01
10
10
00
10
11
00
00
01
11
10
01
00
00
10
10
01
11
10
00
10
11
10
00
00
11
10
01
00
10
00
01
00
01
10
10
01
11
00
11
10
01
01
10
11
10
11
01
10
00
01
11
01
10
10
01
00
01
01
10
10
10
10
00
00
10
11
10
01
00
01
00
00
00
10
11
00
01
10
10
11
11
00
00
00
11
10
00
01
10
10
00
01
00
11
11
10
00
00
10
00
10
10
01
00
11
00
00
00
11
00
11
11
01
11
00
11
01
11
10
11
01
00
01
10
10
00
00
11
00
00
00
11
10
00
00
11
10
00
00
00
00
10
00
00
10
10
10
00
00
11
00
10
01
01
00
11
10
11
00
00
00
11
10
00
10
10
00
01
11
11
10
00
10
00
10
00
00
10
11
10
01
11
00
01
10
10
11
01
01
11
01
00
00
00
10
00
00
10
10
00
00
00
00
10
11
01
00
00
10
01
10
10
11
00
01
11
01
10
11
10
10
10
00
00
00
11
10
00
00
01
00
11
10
01
01
11
11
00
00
10
10
10
00
00
11
00
10
00
11
10
10
10
00
00
10
00
10
01
10
11
10
10
10
00
10
00
01
11
00
11
00
00
10
10
00
10
00
01
01
01
00
00
11
00
00
01
11
00
10
10
01
00
10
10
00
01
01
01
10
01
00
00
10
01
01
11
00
00
01
01
01
11
10
11
00
01
10
11
00
00
10
00
10
10
00
00
10
10
01
10
11
00
10
00
01
10
11
00
01
11
11
01
00
10
10
10
01
00
11
10
00
11
11
00
00
10
00
10
10
10
00
00
10
10
01
01
10
01
10
11
00
10
11
00
10
10
00
01
10
00
00
01
00
11
00
10
10
10
10
01
11
01
11
01
01
00
11
00
00
10
00
10
10
11
10
10
00
01
11
10
00
10
10
00
10
10
10
10
00
01
00
00
00
11
10
00
00
10
01
00
00
10
10
10
10
00
10
00
11
10
00
00
00
00
11
10
01
11
11
00
10
10
00
00
10
00
00
10
11
00
01
00
00
11
10
00
10
00
00
10
11
10
10
10
11
01
10
00
10
10
00
00
10
11
01
11
00
11
10
10
10
00
00
10
10
01
10
10
10
10
10
01
00
11
00
01
00
01
10
00
11
11
10
01
11
00
10
00
10
11
10
00
00
10
00
10
10
00
01
01
00
01
00
00
00
10
10
00
10
10
10
00
01
01
01
11
11
11
00
00
11
10
01
00
10
10
00
10
10
10
00
11
10
11
11
00
00
01
00
00
10
00
10
00
00
01
10
00
10
00
00
00
11
10
10
11
10
00
10
10
00
00
11
00
10
01
01
01
00
10
11
11
00
01
10
10
00
11
00
10
11
00
10
00
01
11
10
10
01
00
00
00
11
10
00
01
10
00
11
10
10
00
00
10
10
00
00
00
01
10
11
00
00
10
01
00
00
11
10
00
10
10
00
10
10
00
10
01
10
11
00
11
11
10
00
10
00
00
10
10
00
00
10
11
00
11
11
00
01
01
11
10
10
00
11
01
00
01
11
10
00
00
10
01
10
10
00
00
10
11
01
01
11
10
10
10
00
11
00
10
01
01
11
01
10
00
11
11
00
10
00
00
10
00
11
01
00
11
10
10
00
00
10
00
00
11
00
01
00
01
10
10
00
01
10
10
01
00
10
00
00
01
10
10
11
11
11
11
00
10
00
01
10
11
00
01
10
01
00
00
10
10
00
00
00
11
01
10
00
01
10
11
10
10
10
00
10
01
10
00
00
01
01
00
00
10
00
10
10
00
00
10
01
10
10
10
00
10
00
00
00
11
11
00
10
10
01
01
11
10
01
01
11
00
01
00
10
00
00
00
11
00
01
10
11
01
10
10
01
10
10
10
01
01
00
00
00
10
00
11
10
11
00
01
11
01
10
10
00
00
01
10
10
00
10
10
00
00
00
01
01
01
00
10
00
00
00
00
11
11
00
00
00
00
10
00
00
10
01
00
11
10
00
00
11
10
10
00
00
00
01
01
11
11
00
10
10
01
00
00
11
01
00
11
10
10
00
00
00
10
00
00
00
01
11
11
10
01
10
00
00
01
00
11
10
00
00
00
10
10
01
00
00
10
10
11
00
10
10
10
01
01
11
10
10
00
00
00
11
00
00
00
01
10
11
00
01
10
10
00
11
11
00
00
11
10
11
00
00
10
10
00
10
11
00
10
11
00
10
00
11
01
00
01
11
10
00
00
10
10
00
00
01
11
00
10
11
00
01
01
10
01
10
10
01
00
10
10
10
01
10
00
01
00
00
10
11
00
00
10
11
01
10
10
00
10
10
10
01
11
10
01
00
00
10
00
11
10
10
11
00
01
10
10
00
10
00
10
00
10
01
00
11
01
10
10
10
11
10
10
10
01
00
11
00
01
00
10
11
11
10
00
00
01
01
10
11
01
11
00
10
00
10
00
11
10
01
11
01
01
11
00
10
00
00
10
00
00
01
11
10
00
00
10
10
00
01
00
00
10
11
10
10
10
01
00
11
00
10
10
00
00
00
10
10
00
00
10
00
10
00
10
11
00
00
01
00
01
10
10
00
00
10
10
01
11
10
11
00
01
01
00
00
10
10
00
10
01
00
00
10
11
10
01
10
01
01
10
00
01
01
01
10
01
00
11
10
00
11
10
10
11
01
00
00
10
10
11
01
00
10
10
11
00
10
00
00
11
00
11
00
11
10
01
11
11
00
11
00
01
11
10
00
11
10
00
00
00
01
10
10
11
00
00
10
00
00
00
10
01
00
10
10
10
11
00
10
10
00
01
00
11
10
10
00
00
00
00
10
00
01
10
00
10
00
00
00
11
01
01
01
01
11
00
11
00
00
00
10
11
00
01
11
11
10
10
01
00
00
01
11
10
00
10
11
00
00
10
10
00
10
10
00
10
11
11
10
01
10
01
01
11
11
00
10
00
01
01
10
10
00
10
11
10
10
00
01
11
10
01
00
11
11
00
11
01
01
11
10
10
10
11
00
11
00
00
10
01
00
01
10
00
10
10
11
00
10
11
00
10
00
00
01
11
11
00
00
11
11
10
01
10
01
11
01
10
10
00
10
00
10
10
00
10
01
01
11
01
10
00
00
00
00
10
10
11
11
00
10
10
10
10
00
01
00
01
00
10
10
00
01
11
01
01
10
11
10
01
10
10
00
00
11
01
11
10
00
01
00
10
10
00
00
10
00
00
10
11
01
10
00
00
00
10
00
10
10
00
00
11
10
10
00
10
00
10
01
01
10
10
01
10
11
10
01
10
10
00
10
00
00
01
10
00
01
00
10
00
11
00
00
11
10
10
00
00
01
00
00
00
10
10
00
11
10
10
10
00
01
00
11
10
01
00
01
00
11
10
01
10
11
01
00
11
10
11
00
11
10
01
11
10
00
00
11
11
10
01
00
11
10
11
00
10
10
00
01
00
10
00
11
11
10
10
10
00
01
01
00
10
10
10
00
00
01
11
00
11
11
00
11
00
10
10
10
00
00
11
11
10
00
00
00
00
10
00
00
00
10
10
00
11
10
10
00
11
00
00
00
10
11
10
11
00
00
00
11
10
01
00
11
11
01
00
10
11
10
00
00
00
10
01
00
00
01
10
10
00
10
10
00
01
10
00
00
00
01
01
00
10
10
00
00
00
10
00
10
10
10
00
10
10
00
00
00
10
11
10
10
11
10
01
00
01
01
10
00
10
10
00
00
11
11
11
11
10
10
00
11
01
01
10
01
00
10
10
00
00
10
11
00
11
10
00
10
01
10
00
01
00
01
00
00
00
10
10
10
00
10
10
00
11
00
11
11
00
10
01
10
10
10
00
10
01
00
10
00
01
10
11
10
00
10
11
00
11
00
01
01
00
01
11
00
10
01
00
10
10
01
00
00
00
10
00
10
00
10
10
00
01
11
11
00
11
00
00
11
10
01
00
11
11
10
10
00
01
10
00
00
00
00
10
10
00
01
10
00
10
10
01
00
10
10
00
11
11
00
10
00
10
01
01
01
11
10
00
10
11
10
10
10
10
01
10
11
01
10
01
10
10
11
10
01
00
01
10
10
11
00
11
00
10
10
00
00
00
11
00
00
10
00
10
00
01
01
00
01
01
11
01
11
00
01
11
10
00
00
11
00
00
10
10
10
01
00
01
11
00
11
00
00
00
11
10
00
01
11
01
01
10
11
00
00
01
00
10
11
10
00
01
00
01
11
00
10
10
00
10
10
01
00
11
10
01
01
00
11
10
01
00
00
10
11
10
10
00
01
10
10
00
11
00
00
10
11
10
01
00
10
00
00
00
00
10
11
10
10
10
00
10
10
10
10
01
11
10
10
01
00
10
00
01
11
01
01
10
11
00
11
00
00
10
11
10
01
01
11
10
00
01
01
10
10
10
01
01
11
10
00
10
00
01
10
01
10
10
10
11
00
00
00
10
00
10
01
00
00
00
01
10
10
00
01
10
10
00
00
01
00
10
10
00
00
10
01
11
01
10
10
10
11
01
11
00
00
10
00
00
10
10
00
00
11
10
10
01
10
01
00
11
01
00
10
10
10
00
11
11
10
01
10
10
11
01
00
01
10
01
01
00
10
10
10
00
00
10
00
00
01
10
11
00
10
01
01
10
10
10
00
01
00
10
00
00
10
01
00
10
01
01
00
00
11
00
00
00
10
10
00
10
00
10
00
00
11
10
10
10
00
00
10
00
11
01
10
00
10
00
11
01
11
10
10
00
00
10
10
00
10
11
00
11
10
00
01
01
01
10
00
00
00
00
11
00
00
10
01
00
10
00
00
01
11
00
10
11
00
10
10
10
00
00
00
10
01
01
00
00
10
10
10
00
01
10
10
11
10
10
00
01
00
10
11
00
00
10
01
10
10
00
00
00
01
10
00
11
11
01
11
10
11
01
01
01
00
01
00
00
10
10
10
00
11
10
11
10
00
00
00
01
00
00
10
10
00
11
11
00
01
00
01
10
00
10
10
10
01
00
10
01
10
00
11
00
10
10
10
01
01
10
00
01
11
00
01
11
01
11
11
10
01
00
01
10
11
00
01
10
10
10
00
10
11
00
01
10
11
00
00
00
10
11
11
00
01
10
11
10
10
00
10
01
01
00
10
00
11
00
10
10
01
10
11
00
01
10
00
10
01
11
00
00
10
01
10
00
00
11
10
01
10
10
11
00
10
11
00
00
10
10
00
01
11
00
00
10
00
10
00
10
11
11
10
00
01
01
01
11
10
10
11
00
00
10
00
00
01
10
10
10
10
11
00
00
11
00
00
10
10
10
00
01
11
10
00
11
01
11
00
00
00
01
00
10
10
00
01
00
10
11
10
01
00
00
10
10
00
01
10
10
11
00
11
10
00
00
10
11
00
01
00
00
01
00
10
10
00
00
11
11
11
10
11
10
10
11
00
10
01
00
10
01
00
00
10
10
00
10
00
00
10
00
01
11
10
00
11
01
00
11
00
00
10
00
01
10
10
01
10
10
11
00
10
00
00
10
01
00
10
00
01
10
01
11
01
01
11
00
00
10
10
01
00
10
11
00
01
01
00
00
10
10
10
00
01
10
11
00
00
01
11
10
01
00
11
00
10
11
11
01
00
10
01
11
01
10
11
01
11
00
10
11
00
10
11
10
00
10
11
00
10
10
01
01
10
10
10
01
01
00
11
00
00
00
00
10
00
00
01
00
10
10
11
01
11
00
10
11
00
10
10
00
00
11
10
01
11
11
10
11
01
01
11
10
01
01
11
00
11
10
10
00
01
10
11
00
00
01
10
11
01
10
00
00
10
10
00
00
01
11
11
00
00
11
11
10
11
10
10
10
01
00
00
11
10
10
10
11
01
00
00
11
00
10
00
00
11
11
00
01
10
10
10
11
10
10
00
01
10
10
11
10
00
11
10
00
10
11
11
11
11
00
00
00
10
01
00
01
11
00
10
10
00
10
10
00
10
10
00
00
10
10
00
00
10
10
10
00
00
11
00
00
11
00
01
01
10
01
01
10
10
10
00
00
00
10
11
10
10
11
00
00
00
10
10
00
10
01
01
10
01
11
00
00
00
10
00
10
10
10
00
11
10
10
10
11
11
10
11
10
00
11
10
00
00
00
11
10
10
11
00
10
10
00
10
11
00
11
10
00
10
00
10
11
01
00
00
10
10
00
00
11
11
10
00
10
00
11
11
11
01
10
10
11
01
00
01
10
10
11
01
11
00
10
10
10
10
01
01
10
10
10
00
00
00
10
00
00
11
11
01
00
01
00
10
00
00
11
10
00
01
01
00
10
11
00
10
11
10
11
00
10
00
00
10
10
10
00
00
11
10
00
10
10
01
00
11
10
00
10
10
11
11
01
10
10
00
11
01
00
00
10
10
11
01
00
11
10
01
01
10
10
00
00
10
01
01
00
11
10
11
11
10
00
01
10
10
10
01
00
11
10
01
10
01
00
10
00
01
00
00
10
00
10
01
10
10
11
01
10
01
01
00
11
10
01
00
00
11
10
00
00
11
11
01
00
11
00
00
11
11
01
00
00
10
10
00
01
10
10
11
01
00
10
00
10
10
01
10
11
10
01
10
00
00
00
00
10
10
10
00
10
10
01
00
10
00
00
11
00
00
10
10
00
10
11
00
10
10
10
00
10
10
00
10
10
01
11
10
00
11
00
10
10
01
01
10
00
11
10
11
10
00
01
00
11
10
00
11
10
10
11
01
00
11
00
10
10
00
01
10
00
00
10
00
11
11
11
10
10
01
11
00
11
01
10
11
10
11
01
11
00
11
00
11
11
01
10
10
10
00
00
10
00
10
10
00
00
00
00
00
10
10
00
10
00
00
10
00
01
01
10
00
01
10
11
00
10
11
01
11
10
00
00
00
01
10
10
00
01
10
01
00
10
00
00
00
00
10
11
11
10
11
10
00
10
00
11
00
10
01
10
10
11
01
10
11
11
01
01
10
00
11
10
10
01
01
10
10
11
01
00
00
10
10
00
00
01
00
00
00
00
10
01
11
00
11
11
11
00
10
00
11
01
01
10
10
10
00
10
00
10
10
00
10
10
10
10
00
00
10
11
11
11
01
00
11
11
01
00
10
10
00
00
11
00
00
00
00
10
00
01
10
11
10
10
00
10
10
00
10
11
11
01
11
00
10
00
10
00
00
11
01
01
10
01
10
01
00
00
10
10
10
00
11
00
00
10
01
00
00
10
10
01
01
11
01
01
11
10
10
00
10
10
10
11
01
10
00
10
00
00
01
10
01
01
00
11
10
01
00
10
10
00
11
01
11
10
11
01
10
01
00
01
11
11
01
10
10
10
10
10
01
00
11
11
10
01
00
00
10
00
01
10
10
11
00
00
00
10
00
11
10
00
01
10
10
10
00
11
10
10
00
10
00
10
01
01
11
00
10
00
00
00
01
11
00
01
11
10
00
01
11
01
01
11
10
10
00
11
00
01
10
10
00
00
10
11
00
01
10
10
10
01
00
11
10
00
01
11
01
00
01
01
10
10
11
10
10
10
00
11
10
10
10
01
00
00
10
10
10
00
00
00
01
10
00
10
10
11
10
01
01
00
00
10
01
00
00
01
00
10
01
00
11
00
00
10
10
10
01
01
10
10
10
10
01
01
00
01
10
11
01
00
10
10
10
10
00
00
10
01
00
00
00
10
00
00
10
10
01
01
10
10
10
10
00
00
00
11
00
10
00
10
10
10
10
10
10
10
01
01
01
00
01
00
00
10
10
10
00
00
00
00
11
01
00
00
10
10
10
10
00
11
10
00
10
10
10
00
01
10
01
00
10
11
00
11
11
00
01
00
11
10
11
10
00
00
10
00
00
10
11
00
10
10
00
01
01
00
10
10
11
10
00
10
01
01
10
10
10
10
00
10
10
10
01
00
11
00
10
11
01
01
11
10
01
01
00
10
10
00
01
00
11
00
00
01
10
01
11
00
01
00
00
11
01
00
00
10
00
00
10
11
10
11
01
01
00
10
10
11
00
00
00
01
00
10
11
10
11
11
11
00
10
00
10
00
11
10
01
01
00
01
10
00
00
00
10
10
10
10
11
00
10
11
11
00
10
00
00
10
01
00
00
11
11
00
01
00
00
01
10
11
00
10
00
10
10
00
01
10
01
01
00
11
10
00
10
10
10
10
11
00
10
00
00
10
10
00
00
01
10
11
10
10
00
00
00
00
10
00
01
10
01
01
10
11
10
10
01
00
11
10
00
00
11
10
11
11
01
00
10
00
00
01
10
10
00
00
10
10
00
10
10
00
10
10
00
10
10
00
01
11
10
10
11
10
01
00
11
01
00
00
10
11
00
10
00
01
10
10
00
10
11
00
10
00
00
10
11
10
00
01
10
10
01
00
11
10
10
10
00
00
10
10
00
00
10
10
10
00
01
00
00
00
00
10
11
11
10
00
11
10
01
10
00
00
10
10
00
00
10
00
10
10
10
10
00
00
00
00
11
00
10
11
00
11
10
00
10
10
11
00
10
00
00
11
00
10
10
11
10
00
00
00
00
01
10
10
11
01
01
11
11
00
00
01
00
10
10
00
00
10
10
11
10
10
11
00
01
00
10
01
10
00
10
11
00
10
11
01
00
00
01
11
11
11
00
11
10
11
00
00
11
10
10
00
01
10
10
10
00
11
00
01
01
10
11
01
00
00
10
00
01
00
11
10
11
10
00
00
10
10
00
10
10
10
00
00
01
00
00
01
10
11
10
10
11
00
01
10
10
10
10
00
10
00
00
10
10
11
00
11
01
00
11
00
00
11
00
10
01
01
10
00
10
11
11
00
01
11
01
01
11
00
01
00
10
00
10
10
01
01
10
11
10
11
00
00
10
00
10
01
00
11
00
10
11
10
10
01
00
00
11
01
01
11
10
00
01
10
00
10
10
01
11
10
11
00
10
10
11
00
00
10
11
00
01
01
10
10
11
01
00
11
10
00
01
10
00
00
00
00
01
11
11
00
01
00
10
10
10
00
00
00
10
01
01
11
00
00
00
01
10
00
00
11
10
00
00
10
00
00
00
10
00
10
10
01
10
10
01
10
11
11
00
11
00
11
10
01
11
10
10
01
00
00
11
01
11
10
01
10
11
00
00
10
11
01
00
01
10
00
10
00
10
11
10
10
00
00
10
00
00
10
11
11
10
11
00
11
00
00
10
00
00
10
00
00
10
11
11
11
00
00
10
01
00
11
10
01
00
00
11
10
10
00
10
11
11
10
01
01
00
11
01
00
11
10
01
00
11
00
10
11
01
01
10
10
00
10
10
11
11
00
00
00
10
00
01
10
10
01
10
00
00
00
10
11
00
10
10
01
00
10
01
01
10
00
01
10
10
01
00
10
00
11
11
00
00
00
01
10
01
00
11
00
00
01
11
01
00
10
01
10
00
10
11
00
00
00
00
11
10
10
01
11
00
01
01
11
10
00
10
10
01
00
00
10
10
01
00
00
10
10
00
10
00
11
10
00
00
10
01
10
00
00
10
00
10
00
11
10
00
01
01
11
00
00
00
01
00
00
11
10
01
01
10
00
00
11
11
11
11
00
00
11
10
00
00
10
00
00
00
00
10
10
11
10
10
01
11
10
10
10
10
11
00
10
10
10
01
10
01
00
00
10
01
00
10
10
01
00
00
11
10
10
00
10
10
10
10
00
00
10
10
00
01
10
01
11
00
01
00
00
00
10
10
11
01
11
10
01
10
11
01
00
10
10
11
01
01
10
01
10
11
10
11
10
11
00
01
10
10
10
00
00
10
10
10
00
10
00
10
10
10
10
00
10
10
10
01
11
10
00
00
01
10
10
11
00
01
00
10
11
11
00
00
11
10
10
10
00
00
01
10
10
00
00
00
10
11
10
00
00
10
10
10
10
01
01
11
10
00
11
00
00
10
00
01
10
11
10
10
01
01
10
10
00
01
10
11
10
01
00
10
00
11
10
01
00
11
01
01
00
00
10
00
00
10
10
10
10
10
01
01
01
10
11
01
11
00
01
10
10
00
00
00
11
01
00
10
11
10
00
00
10
00
10
10
01
10
00
01
10
10
01
10
01
10
10
11
10
10
00
11
10
01
10
11
00
01
11
10
10
01
01
10
00
00
10
10
10
00
11
00
00
10
10
01
01
11
10
00
10
11
01
10
01
00
00
11
01
01
10
10
10
10
11
00
01
10
01
00
00
10
10
10
00
10
10
01
00
00
01
01
00
11
10
11
00
00
01
11
00
00
10
10
10
00
11
00
00
10
00
01
10
11
00
11
10
10
11
00
01
01
00
10
11
10
00
00
11
00
00
01
10
00
11
10
01
01
00
01
10
11
10
10
00
00
00
10
11
11
10
01
00
00
01
00
00
01
10
00
01
00
10
01
10
10
10
10
00
00
10
00
11
10
00
00
10
10
10
00
10
10
01
10
00
11
01
11
10
10
00
11
11
01
01
10
10
00
11
11
00
00
10
10
01
00
00
10
00
00
10
11
10
00
00
10
11
01
01
01
00
10
10
00
11
00
00
10
11
00
10
00
11
10
00
01
10
10
10
00
10
10
10
01
00
11
10
10
10
01
10
10
00
00
00
00
11
10
00
00
00
10
11
00
11
10
00
00
00
10
10
00
01
10
01
11
00
00
01
00
10
11
01
00
10
01
10
01
00
11
00
01
11
10
00
00
10
00
00
10
10
01
00
01
10
10
10
11
00
11
11
01
01
10
10
10
01
00
00
00
10
00
10
00
00
10
00
00
11
11
00
00
11
10
10
00
10
11
01
01
00
10
10
11
00
10
00
00
11
00
11
10
10
00
00
00
01
11
10
00
00
00
10
10
01
11
10
01
10
00
11
01
00
01
10
10
00
11
11
10
11
00
00
10
10
00
10
01
00
11
10
00
11
01
11
10
10
11
10
10
00
00
11
01
00
11
00
10
10
11
11
10
00
00
10
11
10
00
01
10
01
10
01
00
11
11
10
00
11
11
01
10
10
11
00
10
00
01
10
00
10
00
01
11
10
01
00
11
11
11
01
10
00
10
00
01
00
11
10
01
10
01
00
01
00
10
00
00
01
11
10
10
11
00
11
00
00
00
00
10
10
10
00
00
00
01
10
01
01
10
00
11
10
10
01
10
11
10
00
00
01
00
10
00
00
10
10
00
00
10
11
11
00
10
00
11
00
11
10
00
00
00
00
10
11
11
10
00
01
10
00
00
10
11
10
01
10
11
01
10
00
10
00
01
00
10
10
10
10
00
00
00
11
00
01
10
00
01
01
01
00
10
10
00
00
11
10
00
00
11
10
10
10
00
00
10
10
01
00
10
10
10
00
01
01
10
01
01
11
10
00
00
00
10
00
10
11
00
00
10
00
00
10
10
11
00
01
10
01
00
00
11
10
01
10
10
01
01
01
01
00
00
10
10
00
10
10
10
00
01
11
01
11
00
00
00
10
10
00
00
11
10
11
10
00
10
00
01
10
10
00
01
01
11
10
10
10
01
00
10
11
01
10
10
10
00
10
11
00
01
10
01
00
00
11
10
11
01
00
00
10
10
00
00
11
00
00
00
10
10
00
10
00
11
00
10
10
10
11
01
11
10
00
01
00
00
00
10
11
00
01
11
10
00
11
01
11
10
00
00
00
00
00
00
10
00
00
11
11
11
01
01
01
00
11
01
00
10
10
11
00
00
01
10
00
01
10
10
10
10
10
01
00
00
00
00
01
11
00
00
01
01
00
10
00
00
00
11
11
00
00
10
10
10
00
10
00
11
00
01
01
11
10
10
10
10
00
00
01
01
11
10
01
10
00
01
10
10
10
10
00
00
10
01
00
00
10
10
00
00
10
00
00
10
11
10
00
10
00
01
11
00
01
01
01
11
10
11
00
10
10
00
00
11
00
00
11
11
10
10
11
10
10
10
00
10
10
00
00
00
11
01
10
10
10
00
10
10
10
01
10
10
10
00
00
00
01
10
10
11
10
01
11
00
00
11
10
00
00
10
10
00
01
10
11
10
01
01
10
10
10
10
00
01
11
00
10
00
11
00
00
10
01
10
11
00
11
00
10
10
11
01
11
00
00
11
00
00
11
01
00
10
11
10
11
01
10
01
00
00
00
00
10
10
00
00
11
11
00
01
00
01
10
01
11
00
00
10
01
00
10
00
01
01
00
11
01
00
10
10
00
00
10
11
10
11
10
10
01
00
10
01
00
00
00
00
11
00
00
11
00
11
00
00
00
00
11
11
11
00
10
10
00
00
10
11
01
10
01
10
11
10
10
01
11
10
10
11
00
11
10
00
00
10
01
11
01
00
10
00
10
11
11
00
10
11
00
10
01
00
00
10
10
01
10
10
10
11
00
00
11
11
10
00
00
00
00
10
00
10
10
11
00
01
00
01
10
11
10
10
01
10
11
01
01
10
10
10
10
11
00
00
10
00
00
10
00
01
00
00
10
10
11
01
00
01
00
10
01
00
10
10
01
00
10
00
00
00
11
00
01
11
10
00
01
10
10
11
01
00
00
10
11
01
10
01
10
00
10
01
00
00
01
01
11
10
10
11
10
00
10
00
01
01
10
11
01
01
10
11
00
10
10
10
01
00
00
01
11
11
11
00
10
11
10
00
01
10
01
00
10
10
10
11
00
01
10
11
00
11
10
01
11
10
01
11
00
00
10
01
00
11
10
10
01
10
01
00
10
10
00
01
10
10
00
10
00
00
10
01
11
10
00
10
00
01
01
11
10
01
01
00
00
10
11
01
10
11
00
11
01
01
00
10
10
10
10
00
11
10
01
10
00
11
00
10
11
10
01
01
10
10
10
10
01
11
11
10
00
01
00
01
01
10
11
00
11
00
00
10
00
10
11
10
01
11
01
01
01
00
10
10
00
00
10
10
00
01
11
10
01
10
00
00
11
10
11
11
00
10
00
10
11
01
00
10
10
11
00
11
01
00
01
00
11
01
01
11
01
01
10
11
01
10
11
00
00
00
11
11
11
00
00
00
10
00
00
10
00
01
10
00
00
10
00
10
00
10
10
10
00
10
11
10
10
01
10
11
10
00
01
00
00
11
10
00
00
10
00
10
10
10
10
00
10
00
11
00
10
00
10
00
10
00
00
10
10
10
00
10
10
00
01
00
10
01
11
00
01
00
10
10
00
11
10
10
01
10
00
00
00
01
00
01
11
10
00
01
10
01
00
10
01
00
10
10
00
01
01
00
10
10
11
00
01
10
00
00
00
10
10
00
10
00
00
10
00
10
11
00
10
01
00
11
00
01
10
00
10
10
00
10
10
00
01
00
00
00
10
10
00
10
00
00
01
11
01
00
01
01
10
10
11
11
10
10
01
10
10
01
00
00
10
01
10
11
00
10
10
00
00
00
10
10
11
01
01
01
11
10
00
11
10
11
01
00
10
01
01
01
11
10
00
00
10
10
00
01
11
11
11
11
10
10
11
11
00
00
11
11
11
11
00
01
10
11
11
11
01
01
10
10
01
00
11
10
00
00
00
01
00
00
11
10
00
00
10
11
01
00
00
00
10
00
10
00
01
10
10
10
00
00
01
10
10
10
00
10
10
00
01
10
10
00
00
10
10
11
10
10
00
00
00
01
11
10
10
01
11
01
01
11
10
10
11
01
00
01
00
10
11
10
11
01
00
10
10
10
00
00
10
10
00
00
10
01
00
01
00
10
00
00
11
11
00
00
10
00
11
10
00
11
10
00
10
10
00
11
00
11
10
10
10
10
11
01
00
11
10
11
00
01
01
00
10
10
10
01
11
10
10
10
00
10
00
00
10
00
00
10
10
01
00
00
00
00
10
10
00
00
11
10
01
10
11
01
00
11
10
11
01
11
10
00
00
10
10
01
01
11
01
10
10
00
10
00
10
11
10
11
10
11
11
00
00
10
01
00
01
11
11
00
00
01
00
00
10
10
01
10
00
11
10
10
11
10
00
00
00
01
11
11
00
10
10
00
10
00
11
11
10
01
00
10
00
11
10
00
10
10
00
10
01
10
10
00
00
10
10
00
00
10
10
11
10
11
11
11
00
00
10
10
11
01
10
11
00
00
10
10
00
00
00
10
01
01
00
10
00
10
01
10
11
00
00
10
10
00
00
10
11
00
10
11
10
11
00
10
01
10
10
00
00
00
01
10
00
00
11
00
11
00
00
01
00
01
10
00
01
10
10
01
10
10
10
00
00
01
00
11
10
00
01
01
00
00
10
10
00
00
11
00
11
10
11
10
10
00
01
01
10
00
00
10
10
10
00
00
10
00
10
10
00
10
01
00
01
10
10
00
00
00
00
10
10
10
01
00
10
10
10
00
10
00
00
11
10
00
10
00
00
10
11
11
00
00
10
00
00
10
10
00
00
11
10
11
11
10
10
00
10
00
10
00
00
10
11
00
00
11
10
11
11
10
00
10
10
00
10
00
11
10
10
10
00
01
00
01
10
01
10
10
11
00
01
11
10
00
10
01
01
01
00
10
10
01
01
10
00
01
11
11
00
01
10
01
10
11
00
01
11
00
00
11
01
00
00
11
01
00
01
10
10
01
00
11
10
10
01
00
00
11
01
00
11
11
11
11
11
00
11
00
01
11
10
10
10
10
01
11
10
00
00
11
11
10
10
00
10
00
10
11
00
00
10
00
10
11
00
11
11
00
01
10
00
10
10
00
10
00
11
10
10
00
00
10
11
00
00
10
00
10
00
11
00
00
00
10
10
00
01
01
11
00
00
00
10
00
10
10
10
10
10
01
11
11
01
10
00
10
00
00
00
10
10
00
11
00
10
10
00
00
00
10
10
00
00
10
00
10
10
10
01
00
01
00
01
00
10
10
11
10
10
00
01
00
00
00
01
10
01
10
00
11
11
10
10
00
00
00
10
00
10
10
00
00
00
10
00
11
10
01
00
00
10
00
11
01
11
10
00
10
00
00
01
01
10
10
00
11
11
10
10
00
10
10
00
10
01
00
10
11
00
01
00
10
10
10
01
00
11
11
10
10
00
00
10
10
00
10
00
10
11
01
00
00
00
11
00
11
10
10
00
11
00
10
11
11
00
01
01
11
11
00
00
00
01
10
10
01
00
10
00
10
11
11
11
10
00
00
01
01
10
00
00
10
11
00
11
11
00
00
01
01
10
00
01
11
01
10
00
11
11
10
00
00
11
00
11
10
10
01
00
00
10
11
00
00
10
11
01
01
01
11
11
10
10
01
00
10
11
11
01
00
11
11
00
01
00
01
01
00
10
10
00
00
10
11
00
01
10
10
00
00
10
01
00
11
01
10
10
00
10
10
11
01
10
10
10
00
10
10
01
00
10
10
10
11
10
01
00
10
10
01
10
00
00
10
10
11
01
11
00
10
10
10
10
10
00
00
11
00
11
11
00
11
01
00
10
00
01
11
11
10
11
00
01
00
01
10
11
00
00
01
10
10
00
01
10
00
01
00
01
11
10
10
00
10
11
10
01
00
00
10
00
01
10
10
00
11
00
11
00
11
10
01
00
00
00
00
00
01
10
10
01
00
00
01
10
00
10
10
11
00
11
11
00
00
00
10
10
10
11
00
01
01
00
11
10
10
00
10
10
00
10
11
01
01
01
01
00
00
10
00
11
10
00
00
11
01
10
01
10
00
10
10
11
00
01
10
10
00
01
00
01
01
10
00
01
00
01
10
01
00
10
00
11
10
01
01
00
11
10
11
01
01
10
00
00
10
10
00
10
10
00
00
11
00
01
01
11
00
11
00
00
10
10
10
00
00
11
01
01
10
10
01
10
00
10
10
00
00
11
10
11
00
00
00
11
00
10
10
10
00
00
10
10
11
01
00
11
00
10
00
11
00
00
10
01
00
10
10
10
10
10
00
01
10
00
01
00
11
10
00
00
00
00
01
10
01
10
10
11
10
10
00
00
10
10
11
10
00
11
10
11
00
01
10
00
10
10
00
00
01
11
11
11
01
11
11
11
00
11
00
01
10
10
10
00
10
01
00
10
00
10
11
10
11
00
00
10
11
00
11
11
00
01
10
10
10
11
01
01
10
10
10
01
10
11
00
10
00
00
10
01
00
00
00
00
11
10
00
10
00
10
10
00
00
11
00
10
10
11
00
10
00
00
11
11
01
00
11
10
11
01
01
01
10
10
01
00
10
11
00
10
11
10
11
10
01
10
11
01
01
10
10
11
00
01
00
10
10
00
00
00
01
10
10
11
01
00
10
10
11
10
10
00
00
10
00
00
10
00
10
10
00
11
11
10
11
00
00
10
10
10
11
11
01
01
10
10
00
10
10
11
01
00
10
00
00
10
00
00
00
00
10
00
11
00
10
00
10
11
00
10
00
11
01
00
00
10
00
00
10
01
10
01
11
10
01
01
10
11
00
01
10
11
01
00
00
00
00
10
10
00
00
11
10
11
00
00
01
11
01
10
00
01
00
10
11
11
00
00
10
00
00
01
00
11
10
10
00
00
00
10
10
01
00
01
10
11
00
01
01
01
10
11
10
11
00
10
10
00
10
10
01
00
01
10
10
01
11
01
11
01
00
11
11
10
01
00
11
10
10
01
00
00
11
10
00
11
10
11
10
00
00
00
00
00
10
11
10
00
00
10
10
01
10
01
10
10
00
00
10
10
00
00
11
01
01
10
11
10
11
00
00
10
00
01
10
11
10
10
00
00
00
11
10
00
01
10
10
10
01
10
10
01
01
11
00
11
10
10
01
01
10
10
01
00
00
00
00
01
10
01
01
11
10
11
00
11
10
00
01
10
10
01
00
00
01
00
11
11
01
10
00
00
10
00
00
00
10
10
10
10
11
01
00
11
00
01
10
11
00
01
00
11
10
00
11
11
00
01
01
00
11
10
00
00
10
11
00
01
11
00
00
10
11
00
00
10
10
10
01
11
00
00
10
00
00
10
00
11
00
01
11
10
11
00
01
00
11
11
10
01
00
01
10
00
00
00
00
00
00
10
00
01
10
11
10
10
00
11
10
00
11
00
10
00
00
10
10
00
10
10
11
01
11
10
00
00
00
10
10
01
01
01
11
10
00
10
10
10
00
01
10
10
00
10
00
10
11
00
10
10
10
10
00
00
10
00
01
10
10
00
10
11
10
10
11
01
00
01
00
01
11
00
10
00
10
00
10
10
00
00
11
00
00
01
10
10
00
01
00
00
11
11
00
00
00
00
10
11
10
00
00
00
00
11
00
10
11
01
10
01
10
11
10
01
00
10
11
01
10
10
11
01
00
10
10
10
10
00
00
11
00
10
00
00
01
01
11
01
00
10
00
00
11
00
10
10
00
00
01
00
10
00
10
10
11
00
00
11
01
00
00
00
10
00
00
10
10
11
00
10
11
10
00
00
00
01
01
00
10
01
00
10
10
01
00
00
11
10
00
00
10
00
00
00
11
10
01
11
01
10
01
00
10
00
01
00
00
10
00
01
11
10
10
01
00
10
01
00
11
10
01
00
00
10
01
00
10
00
01
00
01
10
10
10
01
10
11
00
00
01
00
11
00
10
10
10
00
01
10
00
11
11
00
00
11
10
10
00
00
10
10
00
11
10
01
00
10
01
01
00
01
01
00
00
00
00
11
11
11
11
00
00
10
00
11
00
11
11
00
10
00
10
10
00
00
10
10
00
10
00
00
10
00
10
10
00
00
00
11
11
11
11
00
00
11
10
11
11
00
00
10
11
00
11
01
10
10
01
11
11
10
01
01
10
00
00
11
11
10
01
00
10
00
00
10
11
00
00
01
10
00
10
10
01
10
01
10
10
00
10
10
00
11
10
00
10
01
10
00
00
10
11
01
01
10
10
01
00
01
01
10
10
00
11
00
10
11
00
11
10
00
00
10
10
01
10
10
11
00
00
11
00
11
10
01
10
00
00
11
00
11
00
11
10
11
00
11
00
01
01
10
11
00
00
01
00
11
00
01
11
01
00
11
01
00
10
00
00
00
10
10
10
01
11
00
00
10
11
00
10
00
01
10
00
10
10
00
01
00
10
10
10
10
00
00
00
10
10
00
10
11
10
01
00
11
01
00
00
10
11
00
11
00
00
00
10
10
00
10
11
10
01
00
10
00
10
10
00
00
11
10
00
01
00
10
00
00
00
01
10
00
11
10
01
00
00
10
10
00
10
01
00
00
00
10
10
01
11
11
01
00
00
00
00
11
00
10
11
01
10
10
00
10
00
10
10
00
11
10
10
00
01
10
00
01
00
10
10
00
00
10
10
11
00
00
11
10
10
10
11
11
00
01
11
11
10
11
10
00
10
00
10
11
10
00
00
01
01
01
10
10
11
00
00
01
11
00
00
10
10
00
10
11
00
01
11
10
00
00
00
11
00
00
10
10
11
00
11
11
01
11
00
01
01
00
11
10
00
00
11
10
10
11
00
01
10
00
00
01
10
01
00
10
10
00
10
11
01
00
00
10
00
00
10
10
10
10
10
11
00
11
00
00
10
00
11
01
10
00
11
10
10
10
10
00
11
00
10
01
00
00
10
00
01
00
10
01
11
10
10
00
11
00
00
10
01
00
10
00
11
10
00
00
10
00
10
00
00
11
01
01
00
10
10
11
00
01
00
10
00
11
11
11
10
01
10
10
10
00
01
11
01
01
11
00
10
00
01
10
00
00
10
11
10
00
01
11
11
10
01
00
00
01
00
10
10
00
00
11
10
01
00
10
10
10
10
00
01
10
10
10
10
11
00
10
11
11
10
10
11
01
10
00
10
10
11
11
00
00
00
11
10
10
10
00
00
01
11
11
00
00
01
10
10
00
01
10
10
00
00
10
00
01
10
11
00
01
00
10
00
10
10
11
00
11
10
10
11
10
01
00
01
00
01
11
11
00
01
10
10
00
01
10
01
01
10
10
11
10
01
11
01
00
01
11
10
11
00
00
10
10
01
10
10
01
00
10
01
10
10
00
11
01
11
10
10
00
00
10
00
10
11
01
00
11
00
01
00
10
11
00
00
10
00
01
01
10
00
01
10
10
00
00
00
00
10
10
10
11
10
01
00
00
00
10
01
10
11
01
10
00
10
00
11
00
00
10
11
00
10
00
10
00
01
01
00
11
11
10
10
01
00
00
10
11
11
00
10
00
01
01
01
10
01
01
10
00
01
10
10
01
11
11
10
01
11
01
01
10
00
10
11
00
00
00
10
10
10
00
11
10
00
00
10
10
10
01
01
01
00
00
11
00
11
00
10
10
00
01
11
11
00
10
11
00
01
00
01
11
00
01
10
10
11
11
01
01
11
10
10
10
01
01
11
10
00
01
10
00
10
00
01
10
00
10
10
00
00
01
10
10
00
00
00
10
10
00
00
10
00
10
10
10
00
00
10
00
00
10
10
10
00
10
10
00
00
01
10
00
11
10
00
11
10
00
01
00
01
00
10
10
10
10
10
00
10
00
00
00
00
00
00
10
00
10
11
00
01
10
10
00
00
00
11
00
01
11
00
01
10
01
10
11
00
11
11
00
11
11
11
01
00
10
10
00
01
11
10
11
10
10
11
11
01
01
00
10
11
10
11
10
00
01
10
11
10
01
11
00
00
10
00
10
10
01
00
00
11
10
10
10
10
01
10
10
00
00
10
00
00
10
10
00
10
11
10
10
01
01
00
10
10
01
10
11
00
01
10
10
10
11
10
00
01
00
01
11
10
10
10
10
00
00
10
11
00
00
00
00
11
10
11
10
10
01
11
10
11
00
01
01
00
10
11
00
00
10
11
00
10
10
11
00
01
00
10
10
00
11
00
11
01
10
00
00
11
10
01
00
00
00
00
11
10
01
00
11
10
01
01
10
00
10
00
00
01
10
00
00
11
10
00
00
11
00
01
10
10
10
00
11
00
11
10
11
00
01
01
00
10
01
11
11
10
00
00
10
10
11
10
00
01
11
10
00
11
11
10
10
00
00
00
01
00
10
11
10
11
10
00
01
00
11
01
01
11
00
01
10
01
10
01
10
11
11
01
00
10
11
10
01
00
00
10
00
00
10
10
01
01
00
10
10
10
10
01
11
11
00
10
11
10
00
00
11
10
10
00
00
01
00
01
10
10
00
10
10
11
01
00
10
11
10
00
00
11
11
10
00
01
00
11
10
10
00
01
10
10
01
00
11
10
01
00
10
00
10
01
00
00
10
00
01
00
00
10
00
11
10
01
10
10
00
00
10
00
11
10
10
01
01
11
00
01
00
00
01
00
10
10
00
10
10
10
10
01
00
00
10
10
01
10
01
00
01
10
10
01
10
10
01
01
10
11
00
00
00
00
00
01
00
00
00
00
10
10
00
10
11
00
10
11
00
10
01
00
11
00
00
11
01
10
01
00
10
10
00
11
10
00
00
10
00
10
10
01
01
11
01
10
00
01
00
00
00
11
10
10
00
11
10
00
11
00
10
10
10
11
01
00
00
01
11
11
11
11
01
11
11
10
11
00
01
10
10
01
10
10
01
01
11
10
00
10
01
10
00
00
10
11
10
11
10
01
01
01
10
10
10
00
10
10
01
10
01
11
11
00
10
00
10
00
01
10
00
01
01
11
10
11
10
10
00
01
00
01
10
01
00
01
10
11
10
11
10
01
00
10
11
10
00
10
10
00
10
01
00
10
10
00
11
10
01
10
01
00
00
10
01
10
11
00
10
00
10
10
00
11
00
00
00
10
10
00
00
11
10
10
01
01
11
10
10
10
10
11
10
00
00
00
00
11
00
11
00
11
10
00
01
10
01
11
00
00
01
01
10
00
00
01
00
11
10
11
00
10
00
10
01
00
00
00
10
00
00
10
10
10
10
10
01
10
11
00
10
10
01
00
01
11
00
01
10
10
10
00
01
10
11
10
10
00
01
00
00
00
10
01
10
11
00
00
10
10
10
11
10
00
10
11
11
00
00
00
01
00
10
10
10
10
00
01
11
00
01
00
10
10
00
00
01
00
10
01
01
11
10
10
00
00
00
11
10
01
00
01
00
00
01
11
10
10
11
01
00
01
10
00
11
01
10
11
01
00
00
10
01
00
10
00
11
10
10
00
00
10
00
01
01
11
10
10
00
00
00
11
10
00
10
11
00
00
00
10
00
00
01
00
10
10
11
10
00
11
00
11
01
11
00
00
01
10
01
00
11
00
10
10
00
00
10
01
01
10
10
10
00
01
01
10
00
00
10
11
10
00
00
10
10
00
10
00
00
10
00
10
10
11
00
00
00
00
00
00
10
11
11
11
00
00
10
01
10
00
00
11
11
01
11
11
00
10
10
11
10
00
00
10
01
01
00
00
00
00
10
10
10
00
10
11
10
10
00
00
00
00
11
10
00
00
00
01
00
10
01
00
00
10
00
01
10
11
01
11
01
11
10
10
10
00
10
00
00
11
10
10
00
01
11
01
11
10
00
00
10
11
10
01
00
01
00
00
10
10
11
10
00
00
10
11
00
01
00
10
10
00
10
11
01
01
10
10
11
00
10
00
10
10
11
00
01
11
00
00
11
10
10
00
11
10
00
00
10
00
10
01
01
00
00
00
11
00
00
10
11
10
01
00
11
00
00
11
10
00
00
00
11
00
01
11
10
00
00
00
00
10
11
01
01
01
01
10
01
11
10
10
01
00
11
11
10
01
00
00
01
00
10
01
11
11
01
00
10
00
10
10
00
10
00
01
10
01
11
10
01
00
00
10
01
01
10
01
00
10
10
10
10
00
00
11
10
10
10
00
00
01
10
10
01
00
11
01
11
11
01
01
01
00
01
00
10
01
11
10
01
00
01
11
00
10
11
00
00
10
10
01
11
10
10
01
00
11
10
10
00
00
00
11
00
10
01
10
11
11
11
00
00
00
00
10
11
10
10
10
10
10
11
01
00
00
10
11
00
10
10
00
00
10
00
00
00
10
11
10
10
11
10
10
01
00
00
00
00
01
10
00
00
10
10
00
01
00
10
10
00
10
10
10
00
00
01
11
00
01
01
00
10
10
11
10
00
11
10
01
01
10
10
00
10
01
10
10
01
00
10
00
00
10
00
10
00
00
00
01
11
11
11
00
01
10
00
11
10
01
11
00
00
00
10
10
10
00
01
01
10
01
11
10
11
01
10
10
00
00
11
10
01
10
00
10
10
00
01
10
10
01
11
11
10
01
00
00
01
11
00
11
10
01
10
00
11
00
00
10
10
00
00
00
10
01
01
10
10
01
00
11
10
01
01
01
10
10
00
00
00
10
11
00
01
11
11
01
10
11
11
00
00
00
10
01
10
11
00
00
01
00
10
10
00
00
10
01
10
11
10
00
00
11
10
10
10
00
10
01
00
10
11
01
00
00
10
10
00
00
11
00
10
10
00
10
00
00
11
00
10
00
01
00
00
00
11
00
10
11
01
00
00
01
11
01
11
10
00
00
01
10
11
00
00
00
11
10
10
00
00
00
00
11
10
00
01
10
00
10
10
01
10
00
11
10
11
00
01
10
00
00
11
00
00
00
11
00
10
10
01
00
11
00
01
11
10
10
11
00
00
01
01
10
10
01
10
11
11
00
10
10
11
00
11
10
00
00
10
00
10
00
00
10
11
10
10
01
00
01
10
00
10
10
01
10
10
00
01
01
11
10
00
11
10
00
00
00
00
10
10
10
10
10
10
10
11
00
01
00
00
01
00
10
00
01
01
11
10
11
01
01
01
10
11
00
01
10
10
00
00
10
11
10
01
11
10
10
11
01
11
01
01
10
10
00
10
01
01
01
10
00
10
11
10
11
10
01
10
10
00
10
00
00
10
10
00
01
10
11
00
10
00
10
01
01
10
10
10
00
10
11
00
01
11
10
00
01
11
00
10
10
10
00
01
01
10
10
10
01
01
00
10
00
11
10
01
10
10
00
10
11
11
10
00
11
10
10
00
00
11
11
10
00
11
11
00
00
00
01
01
00
11
10
01
10
00
01
00
01
11
10
00
10
11
10
10
01
11
00
10
10
10
10
00
01
00
11
11
00
01
11
00
11
10
10
00
00
10
10
01
00
00
00
10
01
10
00
00
11
10
10
10
10
00
01
00
00
10
10
10
01
10
00
01
11
11
01
01
11
00
11
01
00
01
10
11
00
00
00
10
00
11
10
11
00
00
10
00
10
11
10
00
01
10
00
00
10
10
10
00
00
10
10
11
10
10
10
00
00
00
00
10
00
01
00
10
10
00
11
10
10
00
11
10
00
11
10
11
10
10
01
10
00
10
10
01
11
11
01
00
00
01
10
00
00
10
11
00
10
10
00
11
10
10
01
10
00
01
00
11
11
00
01
10
11
10
11
00
01
10
11
10
01
01
11
10
00
11
10
00
10
00
00
10
00
10
00
10
00
00
00
10
10
00
10
11
10
01
10
01
00
11
11
00
00
10
01
01
01
10
11
11
00
00
11
00
00
00
00
10
10
10
01
00
00
10
00
00
10
01
01
01
11
10
00
00
01
00
00
10
11
00
10
10
10
00
00
10
00
11
11
11
00
00
01
00
01
00
10
00
01
00
00
01
00
11
10
11
10
00
10
10
00
10
00
00
00
11
10
10
01
11
10
11
00
01
10
10
00
01
10
01
10
10
10
01
00
00
00
10
10
10
00
00
11
01
10
10
00
10
11
10
00
00
01
10
00
00
00
10
10
00
00
00
10
11
11
10
01
10
01
10
10
00
01
10
11
11
11
11
00
11
10
00
00
11
10
00
10
10
10
10
11
01
11
00
10
10
01
10
11
10
00
11
10
10
10
10
00
01
00
01
00
11
00
10
01
00
01
10
00
11
10
10
10
01
00
01
10
10
01
00
00
10
00
01
10
00
01
10
11
01
11
10
01
11
10
11
00
01
01
11
10
00
00
11
01
01
10
10
00
10
01
10
01
00
10
00
01
11
00
10
11
10
01
01
10
10
00
01
11
10
01
00
00
01
11
10
00
00
10
11
10
10
00
11
10
11
11
01
10
00
00
00
00
01
10
10
00
00
10
00
11
10
11
01
01
00
00
11
00
11
10
00
00
11
10
10
10
00
10
00
10
00
01
10
11
00
01
00
00
10
01
00
10
10
00
11
11
11
00
00
10
00
10
10
00
01
11
00
11
10
10
01
00
10
10
10
01
00
11
11
00
10
11
00
00
00
11
00
10
10
10
00
00
00
10
10
10
01
00
01
11
00
01
11
00
10
10
10
10
00
01
10
00
10
00
00
01
00
10
11
00
10
11
00
10
11
00
00
10
00
01
10
11
11
01
11
11
10
01
00
11
00
00
10
11
00
00
10
00
11
01
01
11
10
10
00
00
01
11
00
01
01
00
10
10
10
00
01
10
11
01
00
01
00
11
00
01
01
11
11
00
10
10
10
00
00
10
10
00
01
11
10
00
00
11
10
00
00
11
10
00
10
00
00
10
10
00
10
11
10
00
11
00
10
10
01
00
10
00
10
10
00
00
10
00
11
00
00
01
10
00
00
00
00
00
01
10
11
00
00
11
10
00
10
00
00
11
00
01
10
10
11
10
11
11
10
01
10
00
00
01
11
10
01
00
11
10
00
00
01
10
00
00
10
11
01
00
00
11
00
11
11
00
10
10
00
11
00
01
10
00
01
10
10
00
10
10
01
01
00
00
11
01
00
10
10
11
10
10
00
00
00
00
10
01
11
00
11
01
11
01
00
10
00
01
00
10
11
00
00
10
01
00
01
11
10
11
11
00
00
00
00
11
00
00
11
00
01
00
01
11
11
00
01
00
10
10
10
00
00
10
10
01
01
00
11
11
10
11
00
01
10
11
00
01
10
10
01
00
01
10
01
00
00
01
00
11
10
01
01
01
10
10
00
10
00
01
00
01
00
10
00
01
10
01
00
11
00
00
10
11
10
01
10
10
01
11
10
00
00
11
00
01
10
10
10
01
00
11
11
00
01
10
00
10
10
00
10
01
00
10
01
11
10
01
00
10
01
10
10
00
11
10
10
00
11
10
00
10
01
01
00
11
10
00
00
10
11
00
01
10
10
00
00
00
00
10
00
10
10
00
11
00
10
01
00
01
01
10
10
01
01
10
00
01
10
01
00
00
10
10
00
00
00
10
10
01
10
10
11
00
10
00
00
01
01
00
10
00
10
01
01
10
10
10
00
00
01
00
10
10
10
00
10
10
10
00
10
10
01
10
10
01
00
10
01
00
10
11
00
11
10
10
00
00
10
11
10
00
10
01
00
10
00
00
11
11
10
11
00
10
10
00
10
00
11
10
11
00
10
00
00
00
10
01
01
10
11
00
10
00
11
10
10
00
00
10
01
01
10
10
10
01
10
01
00
10
10
10
11
10
00
00
00
10
01
10
10
11
11
01
10
00
11
10
00
01
10
11
00
10
11
01
00
01
00
10
01
00
11
00
00
11
10
11
10
00
10
10
01
01
10
11
00
11
11
01
01
01
00
11
11
01
00
10
10
00
10
10
10
00
00
00
01
01
01
00
00
10
10
10
10
00
01
00
11
11
00
01
00
11
00
00
11
10
00
00
00
00
00
10
01
10
11
10
01
01
00
10
00
00
10
00
00
11
00
10
10
00
10
10
00
00
10
10
00
01
00
11
11
11
00
11
00
00
10
00
01
11
11
00
00
11
00
01
10
10
01
10
10
01
00
10
00
11
10
00
01
00
11
00
10
00
01
11
11
10
01
10
11
00
10
10
00
00
10
00
10
00
10
10
01
11
10
11
11
10
00
00
01
11
11
10
10
00
00
00
11
00
01
00
01
10
00
10
10
01
10
00
00
00
10
00
10
10
10
00
00
00
11
00
11
11
10
01
00
10
01
11
00
01
10
10
10
10
11
00
10
00
10
00
00
10
10
00
01
00
00
10
11
01
00
10
11
10
10
00
00
11
00
00
11
01
10
10
10
00
01
10
10
00
11
00
11
00
01
10
10
00
00
01
01
10
10
01
10
10
11
01
10
11
00
01
10
11
10
10
01
11
11
11
11
01
00
00
10
10
01
01
01
10
00
00
11
00
00
11
10
00
00
01
10
00
11
11
10
00
10
01
10
10
10
11
00
01
11
10
00
11
00
00
00
11
11
00
00
11
11
00
00
11
10
11
11
00
01
10
00
00
01
10
01
11
11
10
00
00
01
11
10
00
01
10
00
11
00
11
00
00
10
00
00
11
01
00
10
00
01
10
11
10
01
00
01
01
11
00
00
10
11
10
00
00
10
10
00
00
00
11
11
01
10
11
01
10
10
10
10
10
10
00
00
10
00
01
01
00
10
10
00
10
00
11
10
00
11
10
11
00
00
10
00
00
10
00
00
00
11
01
11
10
01
10
10
10
10
10
00
00
01
00
10
10
10
01
10
01
10
11
01
10
00
10
10
01
01
11
11
00
10
01
01
10
00
00
00
00
00
01
11
10
00
10
10
01
11
10
00
10
00
10
00
00
10
10
00
00
01
01
00
10
00
01
10
10
11
00
00
10
00
11
00
01
10
00
01
00
10
10
01
10
00
00
00
10
11
10
10
11
10
00
01
10
10
10
00
10
01
01
10
11
00
10
00
01
11
00
00
00
00
00
10
10
10
00
00
10
10
00
10
11
11
01
11
00
10
01
00
00
10
00
11
00
00
01
00
10
00
00
10
01
10
01
00
11
01
01
11
01
11
01
11
11
00
01
10
10
11
01
11
11
00
00
00
11
00
01
10
10
00
00
10
00
11
10
00
00
10
10
01
00
00
01
00
11
11
10
00
10
10
01
00
10
01
11
00
10
10
11
00
10
10
00
10
00
11
01
11
00
00
10
00
00
11
01
10
01
01
10
00
10
10
10
00
01
10
11
00
10
10
01
00
00
00
10
10
10
10
00
10
10
11
10
00
10
10
01
00
00
10
00
00
00
10
10
01
10
00
00
11
00
00
10
11
01
00
10
00
11
10
01
10
10
01
01
00
01
10
11
10
10
00
11
11
00
10
00
00
11
10
10
11
01
10
11
01
00
00
10
00
01
00
01
10
00
00
10
00
00
11
10
01
00
00
00
00
10
00
00
11
00
10
11
01
00
00
00
01
10
10
10
10
10
00
11
11
00
01
11
00
00
00
00
10
10
00
10
10
00
01
10
10
11
01
00
11
00
10
10
10
00
01
00
10
10
10
10
00
11
10
01
10
10
11
00
11
11
11
00
00
01
10
10
00
01
00
11
10
00
01
10
00
11
11
00
10
10
10
01
10
10
10
01
10
01
10
00
10
01
01
11
01
01
00
10
10
00
00
10
10
00
00
01
10
00
11
10
10
00
11
01
10
00
00
01
11
10
10
10
00
01
01
00
10
00
01
10
11
10
00
01
10
11
00
00
10
01
10
00
00
11
01
10
10
00
01
11
10
10
01
10
01
00
10
00
00
00
00
11
00
10
00
00
10
10
00
00
10
11
00
00
10
11
00
01
11
00
00
10
00
01
00
10
10
10
01
01
10
00
10
11
01
10
11
00
01
00
01
10
00
01
10
11
00
01
10
10
01
01
00
10
00
01
10
00
10
00
11
10
01
10
01
00
11
00
00
11
10
00
00
01
10
10
00
00
00
01
10
11
10
10
10
00
00
10
11
00
11
00
00
01
11
10
01
00
11
10
00
10
10
00
01
10
00
00
10
00
10
10
01
00
10
10
00
10
00
10
10
11
11
00
10
00
10
10
10
10
01
00
10
10
10
00
10
10
10
11
11
00
00
00
10
11
00
01
00
01
00
10
10
11
01
10
10
01
00
01
00
11
11
11
00
10
11
00
00
10
01
10
00
01
11
00
10
10
10
00
01
11
10
00
10
00
11
01
00
11
00
10
00
01
10
00
01
11
10
00
11
10
00
00
11
00
01
10
10
10
00
00
11
11
01
11
00
10
00
00
11
11
11
00
00
00
01
00
10
10
00
01
10
10
00
10
11
10
01
10
10
10
00
11
11
11
00
00
11
00
10
11
10
00
10
00
00
00
00
00
10
10
00
11
10
10
10
11
00
10
01
01
10
00
11
10
10
01
00
01
10
11
00
11
10
00
10
10
10
01
00
10
00
00
10
00
10
10
10
00
00
00
10
00
00
00
10
01
10
01
00
10
11
11
10
00
01
10
11
10
00
00
01
11
10
10
00
10
10
10
10
11
11
00
10
00
10
11
01
00
10
11
00
00
00
11
10
10
00
01
10
10
10
00
00
01
10
00
00
10
10
10
11
00
00
11
10
10
10
01
00
00
01
00
10
10
10
11
11
01
00
01
11
00
01
00
00
10
01
00
01
00
11
10
10
11
01
10
10
11
00
10
10
00
00
10
01
11
00
01
00
10
00
00
10
10
10
01
10
00
00
00
11
10
10
11
00
00
01
11
01
10
10
10
01
01
10
10
00
01
10
10
10
00
01
10
01
10
01
11
00
10
11
01
00
00
01
10
00
01
10
10
11
00
10
00
00
11
00
01
00
01
00
10
00
00
10
10
10
10
00
00
10
00
00
10
10
00
01
10
00
10
01
00
11
10
10
10
00
00
10
01
00
10
00
01
00
00
10
10
11
00
00
10
00
01
00
00
10
00
01
01
01
11
10
10
10
11
10
00
01
10
00
10
10
01
10
10
10
01
00
00
00
00
00
10
00
10
11
10
11
00
01
11
11
10
01
11
00
00
00
10
10
00
10
11
10
10
10
01
01
10
00
11
10
00
00
00
11
10
10
10
00
01
00
10
10
11
00
10
10
10
11
01
11
10
10
11
00
00
01
11
10
10
00
01
00
10
10
10
00
00
10
00
11
11
11
11
00
11
00
00
00
10
00
00
10
11
10
11
00
01
00
01
10
10
00
01
00
01
11
10
11
01
00
00
00
00
11
01
00
10
11
10
00
01
00
01
10
10
10
10
10
10
01
01
11
00
00
00
00
11
00
00
10
00
10
01
01
01
00
01
10
11
10
11
10
10
00
00
00
00
11
11
11
10
00
00
00
01
01
10
10
00
01
10
00
00
10
11
00
11
10
10
01
11
11
00
10
10
00
11
10
00
00
11
10
10
01
10
10
10
00
01
10
00
10
11
10
00
11
00
00
10
01
00
01
11
10
00
00
01
11
00
00
10
00
01
00
00
11
10
10
01
11
00
11
10
01
10
11
00
11
01
00
01
10
11
00
01
10
10
00
00
00
10
10
00
10
10
00
10
01
10
00
00
10
00
00
00
00
11
10
01
10
10
00
00
00
10
00
10
01
00
00
00
10
10
10
10
00
11
01
00
00
01
10
11
00
10
00
10
10
01
01
00
10
01
10
10
01
01
11
10
10
00
01
01
01
10
10
10
10
10
10
00
00
00
10
10
10
00
00
10
11
11
00
00
11
11
11
00
10
00
10
01
00
00
11
10
10
10
01
01
10
11
11
11
00
10
10
00
10
00
10
00
01
00
00
11
01
00
00
10
01
00
10
10
00
10
10
00
11
01
00
11
10
00
00
10
00
10
00
01
11
10
11
10
01
10
01
01
10
00
10
00
00
01
10
01
10
11
00
00
11
01
00
10
11
00
00
10
11
01
10
11
10
10
11
10
01
01
01
11
11
01
00
00
00
00
00
10
11
00
10
00
01
01
10
00
00
00
10
00
11
10
11
10
11
11
00
01
01
00
00
00
10
10
10
00
01
01
11
10
10
11
00
11
00
00
00
10
10
10
11
00
00
00
10
10
01
00
11
10
10
00
11
11
01
11
10
10
10
00
00
10
10
01
01
01
10
00
10
10
00
11
10
00
11
10
00
01
00
00
10
00
01
00
10
00
10
10
01
00
10
11
01
10
00
00
11
11
10
00
10
11
01
10
10
00
00
11
11
10
01
00
01
10
11
01
01
10
10
01
00
10
10
00
11
10
11
10
01
00
10
00
10
10
01
00
10
10
10
00
01
10
00
00
10
10
10
10
11
01
00
10
11
01
00
00
10
11
00
00
00
00
10
01
00
10
11
00
00
10
00
00
10
11
10
00
10
11
00
00
00
10
01
01
10
11
01
10
10
01
00
00
11
10
00
00
10
10
00
00
10
01
10
00
10
00
10
10
10
11
01
10
00
00
01
00
10
10
00
01
10
10
11
01
00
10
11
00
10
10
00
10
10
10
00
10
10
00
00
00
11
00
01
00
01
11
10
10
10
11
00
00
11
10
00
00
00
00
01
00
00
10
00
11
00
11
10
10
01
00
00
00
00
10
10
10
01
10
11
01
00
10
00
11
00
00
00
10
00
01
11
01
11
10
11
00
10
00
00
01
10
01
00
10
10
11
10
01
11
11
10
01
11
01
11
11
11
00
11
10
10
10
01
00
00
10
01
00
10
10
00
10
00
00
11
11
00
00
01
00
00
01
10
10
10
11
01
10
11
01
00
00
11
00
10
10
00
11
00
10
00
11
00
11
10
01
00
00
00
11
00
00
00
10
00
01
11
10
01
10
11
00
10
00
00
00
01
00
11
11
00
00
00
00
00
01
10
00
10
10
00
01
11
11
11
00
11
11
10
10
00
10
11
00
01
10
01
10
10
10
11
01
00
11
10
00
10
00
01
11
10
01
01
10
10
00
10
00
00
10
10
00
10
00
00
00
00
11
10
00
10
11
01
10
00
10
01
01
11
00
10
00
00
00
00
10
11
00
01
11
01
10
01
10
00
10
00
11
10
00
00
11
10
11
00
11
00
10
00
11
01
01
11
10
00
10
11
00
00
10
10
01
11
00
00
00
11
10
11
00
00
10
10
01
10
00
01
10
10
01
01
10
10
10
01
00
11
00
11
00
01
10
10
01
10
00
01
00
10
11
10
10
01
01
00
11
11
01
00
00
10
01
10
00
11
11
01
10
10
01
10
00
01
00
10
10
10
10
10
01
00
10
10
10
00
00
01
01
00
01
00
00
10
00
11
10
10
00
10
01
10
10
00
10
10
11
01
10
10
01
00
00
00
00
10
10
01
10
00
10
10
10
00
10
11
00
00
10
00
00
11
00
11
01
00
00
10
00
00
10
00
00
00
00
10
10
00
10
00
00
10
11
01
11
11
10
11
10
00
00
10
01
00
10
10
10
00
11
11
00
00
11
00
10
01
10
01
00
00
11
01
10
00
01
10
11
10
00
01
10
00
10
11
00
01
00
11
10
00
10
10
10
00
11
10
00
01
10
01
11
00
11
00
10
01
11
10
00
00
11
00
00
00
01
10
10
10
00
10
00
11
11
01
00
00
00
11
10
10
01
00
00
00
00
10
11
00
00
00
11
00
00
01
10
10
00
10
00
00
00
10
01
11
11
01
11
10
10
00
01
11
10
00
00
11
01
11
01
01
10
00
11
11
00
00
10
00
00
00
00
10
00
00
11
00
11
10
01
10
01
00
10
00
10
10
00
11
00
11
11
10
00
11
01
00
01
11
11
00
00
00
10
00
10
11
01
11
11
01
00
11
10
10
00
11
11
00
11
10
01
00
00
10
00
00
10
11
00
01
11
01
10
01
01
00
11
10
10
00
00
00
01
10
10
11
11
11
01
10
00
10
00
00
10
00
00
11
10
10
10
11
00
00
01
00
10
00
00
00
00
11
01
10
11
11
01
10
10
10
00
10
10
00
00
10
01
10
11
10
01
11
00
00
11
00
10
00
10
00
00
01
00
10
01
01
00
11
11
10
10
00
00
10
10
01
10
00
11
00
11
01
10
10
10
11
11
00
00
10
01
00
00
01
11
10
11
01
00
10
10
00
10
10
00
10
01
00
00
00
10
11
01
11
00
10
01
00
10
10
10
00
10
00
01
11
00
00
00
11
10
10
00
00
00
10
00
10
10
11
11
10
10
10
11
00
10
11
01
10
10
10
01
10
11
01
10
10
00
10
10
01
10
00
10
00
10
01
00
10
01
00
01
01
11
11
10
10
00
10
00
11
01
01
10
10
10
01
11
11
10
00
00
00
11
10
00
00
10
11
10
00
00
01
01
00
00
10
11
10
00
00
11
11
01
10
10
00
00
00
10
10
00
00
01
01
01
01
11
01
00
00
10
01
10
00
10
10
00
10
00
00
10
10
01
10
11
10
10
11
00
10
00
00
10
10
00
00
00
00
10
10
10
10
01
00
11
11
10
00
10
10
00
11
00
00
00
00
00
11
10
01
10
10
10
10
10
10
10
00
00
10
00
10
00
10
10
10
11
10
00
00
00
10
11
00
00
10
11
10
01
10
10
10
01
00
10
10
00
01
00
01
10
01
01
11
11
10
10
00
00
10
11
00
00
10
00
01
11
11
11
01
00
10
01
10
10
00
00
10
01
10
00
01
10
00
10
00
00
00
11
10
00
11
11
00
10
01
01
01
10
10
00
10
01
10
11
01
00
11
00
10
00
00
10
10
00
01
01
00
00
00
10
11
00
10
11
01
00
11
00
00
00
10
00
00
01
11
11
00
00
01
00
11
01
11
10
10
00
11
10
01
10
01
01
10
10
10
00
10
00
01
01
01
10
00
00
11
10
11
11
00
01
10
10
00
11
00
01
10
11
10
00
10
00
00
00
10
10
11
01
00
10
00
10
01
01
10
00
00
10
11
10
11
10
10
00
00
10
00
00
10
01
00
00
10
10
00
10
00
00
01
00
01
00
01
10
10
01
00
01
00
10
11
00
00
00
11
10
00
01
10
10
10
00
00
00
11
11
10
11
01
00
01
10
00
10
00
01
10
01
00
11
01
10
10
01
10
00
10
10
11
00
10
00
00
10
10
00
10
00
00
01
10
10
00
10
11
01
10
10
00
00
11
00
00
01
00
10
11
00
11
11
10
10
10
01
00
11
00
10
00
10
10
10
01
10
01
10
01
01
10
01
00
00
11
00
00
00
11
11
11
00
10
01
00
10
00
10
00
00
00
10
10
10
10
11
10
01
10
00
01
10
11
11
00
10
11
00
10
10
01
00
10
10
01
00
01
10
00
11
10
01
01
11
10
11
10
00
00
01
00
11
10
01
10
10
00
00
11
10
10
10
11
00
11
11
01
11
11
11
00
01
01
01
11
10
01
00
10
00
11
10
00
00
00
00
11
00
11
01
00
10
10
11
00
11
10
00
11
01
10
11
11
00
11
10
01
00
00
10
11
01
10
00
01
00
00
10
00
10
00
10
11
01
10
00
00
00
11
00
11
10
11
10
11
10
01
11
10
00
00
00
10
00
10
11
01
00
01
00
00
11
10
00
10
11
00
01
00
10
10
11
10
00
00
10
10
11
01
11
10
10
11
00
01
00
01
10
10
10
00
00
10
10
00
00
10
10
11
00
01
11
10
01
10
01
10
01
00
11
01
10
10
01
00
10
10
11
10
01
01
01
01
10
11
10
10
01
01
10
10
10
00
10
00
00
00
10
01
10
10
11
01
10
11
01
00
00
10
10
00
00
10
11
00
11
10
01
10
00
10
00
00
01
10
10
01
10
10
10
10
11
01
01
01
01
10
01
01
01
10
10
00
10
10
11
00
01
10
10
00
01
10
10
00
01
01
00
10
11
00
01
11
10
11
11
10
11
10
11
01
00
10
01
00
11
00
10
10
01
00
11
00
10
10
01
00
10
11
01
01
00
10
11
10
00
00
00
10
10
10
10
01
00
11
00
10
10
10
00
01
00
11
00
00
01
10
10
01
10
10
00
01
00
11
10
11
10
10
00
11
10
00
00
10
01
10
10
00
00
01
10
01
00
00
00
00
01
11
10
00
10
00
00
01
10
00
10
10
10
11
01
11
01
10
10
00
01
00
00
10
11
00
11
10
10
10
00
00
11
10
01
01
10
10
00
10
10
00
01
00
10
10
00
01
10
00
00
10
00
00
10
10
01
11
10
11
00
10
00
00
10
10
00
01
10
00
01
10
00
01
10
10
11
10
00
10
01
00
01
01
00
10
00
00
10
10
01
00
00
01
00
10
11
10
10
11
10
10
01
00
01
10
10
00
01
10
10
01
01
01
11
00
10
00
00
01
00
11
10
00
01
10
10
10
00
00
00
01
10
10
11
00
01
10
11
01
11
10
00
11
00
01
10
00
11
10
10
10
10
10
10
00
11
10
00
10
00
11
01
00
00
01
10
10
10
10
10
11
10
01
10
10
00
10
10
11
11
10
01
00
10
11
00
01
11
10
00
00
10
00
10
10
01
01
11
01
11
11
00
11
00
00
10
10
11
00
00
11
00
00
01
10
00
11
10
00
00
11
10
00
11
00
00
00
01
10
11
00
01
00
01
00
11
01
01
00
10
10
00
00
10
10
11
00
01
10
00
10
00
11
00
11
00
10
00
00
00
00
00
10
11
01
00
10
00
00
00
01
10
10
00
00
00
10
10
00
01
10
01
00
10
00
00
01
01
10
00
00
10
00
01
11
01
00
10
00
10
01
00
00
00
00
10
01
00
01
11
11
00
11
01
01
10
00
11
10
11
00
00
11
00
00
10
11
00
00
00
10
01
10
10
00
00
00
00
10
11
10
00
11
00
11
00
10
10
01
00
00
01
11
10
11
11
11
00
01
10
11
00
10
00
00
10
10
01
01
01
10
10
10
00
10
00
01
00
11
10
11
00
11
01
10
11
00
01
11
11
00
01
10
11
01
00
10
10
10
11
00
00
01
01
11
10
01
10
00
10
10
00
00
00
10
10
00
10
10
00
10
11
10
10
10
10
00
10
10
01
01
10
00
10
11
10
10
11
00
01
10
11
00
00
00
11
11
01
00
01
01
00
10
10
11
10
01
00
00
00
11
00
10
10
00
10
00
11
10
00
00
10
00
00
00
10
01
10
11
00
00
00
01
11
00
00
11
10
00
00
10
10
00
00
00
11
10
00
01
11
10
11
00
01
10
01
00
11
00
00
01
10
10
01
01
00
10
11
11
00
01
00
00
10
00
11
11
00
00
00
00
11
10
00
11
10
00
00
00
10
10
10
01
11
00
11
00
10
01
10
11
00
00
00
10
10
01
00
10
11
11
01
00
10
10
11
00
00
10
10
00
01
01
00
00
00
00
00
01
10
00
00
10
11
11
00
11
10
00
10
11
00
01
01
10
00
11
00
00
00
10
10
00
00
00
01
10
10
00
00
00
01
00
11
01
00
10
00
10
10
10
01
10
00
00
10
11
00
01
10
11
00
00
11
00
01
10
00
10
00
00
11
00
01
10
10
00
00
10
10
00
00
10
11
10
10
01
00
10
00
11
11
11
01
01
10
10
00
10
10
01
00
00
00
00
00
10
10
11
00
00
10
00
11
00
00
11
10
01
10
01
10
01
10
10
01
00
10
10
10
00
00
00
10
00
01
11
00
00
10
11
00
00
00
10
00
10
10
01
10
00
00
10
01
10
11
11
10
11
00
10
10
00
00
10
10
01
01
10
10
00
00
01
10
10
11
00
00
11
10
10
00
00
10
11
00
01
00
01
01
11
10
00
10
10
01
10
10
00
10
10
10
00
01
10
10
00
10
00
10
10
00
00
10
01
10
00
00
01
00
00
11
10
10
01
10
11
10
10
01
10
10
10
00
01
11
01
00
11
11
01
11
10
10
00
10
10
00
01
11
01
01
10
10
00
10
00
00
10
11
00
01
10
10
11
01
10
11
11
11
01
00
00
00
00
10
10
00
00
01
00
00
11
01
00
00
01
10
01
10
10
00
00
11
00
11
11
00
10
10
11
00
00
00
00
10
10
00
10
00
10
10
10
01
11
00
00
10
00
01
11
11
01
10
11
00
10
01
00
10
10
10
10
00
11
00
00
01
01
00
01
11
00
11
01
01
00
00
00
11
11
11
00
01
00
00
11
00
10
10
10
00
10
00
00
00
11
11
11
11
10
10
10
10
00
00
11
10
01
11
01
00
10
10
10
10
00
10
11
01
01
11
01
10
11
11
10
00
00
10
10
01
01
01
11
00
10
10
00
00
01
10
11
00
10
10
00
10
11
00
01
10
00
00
00
10
10
11
00
01
11
10
01
11
10
10
10
00
00
00
11
00
01
00
10
11
00
10
00
10
10
00
01
00
10
01
01
10
00
00
01
10
10
10
01
00
10
00
11
11
00
00
11
10
00
01
01
10
10
00
01
10
10
00
10
10
10
00
00
00
10
00
00
11
10
11
10
00
00
11
01
11
00
00
01
10
10
10
10
00
00
00
10
11
00
11
10
11
00
10
00
00
00
11
00
01
11
01
10
00
01
01
11
00
00
10
11
00
00
10
10
00
11
10
00
10
10
01
10
01
00
11
11
00
11
10
11
00
11
10
00
10
10
10
01
00
11
11
00
10
11
01
00
11
11
10
11
10
00
00
11
11
01
00
10
10
01
01
00
11
10
10
00
00
11
10
00
00
10
10
00
01
10
00
01
10
10
00
10
11
10
00
00
00
10
00
11
00
11
00
10
11
10
10
00
00
10
01
11
10
11
10
00
01
11
01
11
11
00
10
10
00
00
11
10
10
11
00
00
00
10
00
10
00
00
10
10
10
10
11
00
01
00
10
11
10
11
01
00
11
11
10
10
11
00
10
11
00
11
00
00
10
10
00
00
00
10
01
00
10
01
10
10
01
00
00
00
00
00
00
10
00
11
11
10
00
10
00
10
00
00
10
10
10
00
10
00
10
10
11
10
01
00
00
00
00
00
00
10
00
01
10
10
00
00
10
01
00
10
11
10
00
00
10
10
10
01
10
00
00
11
11
10
01
00
10
10
00
01
10
11
00
00
01
11
11
00
10
11
10
11
10
01
00
10
11
00
00
10
10
10
10
00
01
11
10
10
01
00
00
11
10
01
10
10
11
11
00
11
01
01
00
10
10
00
00
01
10
10
10
01
01
00
00
01
01
10
01
10
10
00
00
00
11
01
00
10
00
10
11
10
00
00
00
00
00
10
10
10
10
11
00
01
01
10
00
10
00
00
00
00
10
10
11
11
11
11
10
10
00
10
01
00
10
10
10
01
01
11
00
00
10
00
00
01
10
10
10
00
11
10
00
10
10
01
01
00
01
00
00
00
00
10
11
01
00
00
01
11
10
00
10
00
10
11
11
00
00
10
10
00
10
00
11
11
01
01
10
01
00
10
01
10
01
00
10
00
00
10
01
10
10
01
10
00
10
00
00
00
10
00
11
10
01
00
00
10
10
01
10
11
01
01
00
10
01
00
11
11
10
00
11
10
10
00
01
10
10
11
11
11
10
11
00
00
00
00
00
10
00
00
00
01
10
10
00
10
10
10
10
10
10
00
00
01
00
11
01
00
11
10
10
00
10
11
01
00
00
11
10
01
00
11
10
11
10
01
10
00
10
00
00
10
11
01
11
10
10
11
11
10
01
10
10
00
00
10
10
11
00
00
01
00
01
00
01
01
00
00
01
11
11
10
01
01
00
01
10
10
01
10
10
00
00
10
01
01
10
10
10
01
01
00
00
10
00
01
00
01
10
11
10
01
10
11
00
01
01
10
10
01
11
10
01
00
01
00
01
10
11
01
10
00
00
00
11
10
10
10
01
10
11
00
00
10
10
00
11
00
01
11
10
00
11
00
01
00
10
00
00
10
10
01
00
10
10
00
01
11
10
00
00
10
11
10
10
10
01
00
10
10
10
10
11
01
01
00
00
00
11
10
00
10
10
10
11
10
10
11
10
00
01
10
00
00
01
10
00
00
01
10
11
11
10
10
00
00
00
10
10
11
00
01
00
11
11
00
11
11
10
00
01
00
00
10
11
10
10
11
00
00
10
00
10
01
01
00
11
10
10
11
11
00
00
01
10
10
01
10
00
10
00
01
10
10
00
10
10
00
11
00
10
10
00
00
10
10
10
10
01
10
11
00
00
11
11
00
00
00
00
10
10
10
11
01
00
01
01
10
01
01
11
00
11
10
00
11
10
10
00
00
10
01
01
10
01
11
11
00
11
10
11
00
01
10
10
10
00
01
10
10
11
00
00
10
01
00
01
10
11
10
00
00
10
10
01
10
10
10
11
01
00
10
00
01
00
00
00
00
10
00
11
10
10
00
01
11
11
00
00
00
10
11
01
10
10
01
01
11
00
01
00
11
10
01
00
10
10
00
00
10
11
00
10
10
11
11
00
10
00
11
10
10
01
00
11
01
10
10
10
10
01
00
10
00
01
11
10
11
00
01
01
01
11
10
00
00
10
10
00
01
11
00
00
00
01
10
10
10
00
00
00
01
10
11
01
11
01
11
01
00
10
11
00
00
00
10
11
00
01
01
00
10
00
10
10
10
00
10
10
01
01
10
11
01
10
11
10
01
01
10
10
00
01
10
00
01
00
10
11
01
11
10
10
00
10
11
00
01
10
10
00
01
10
10
11
00
00
01
00
00
11
00
00
01
01
00
11
10
10
10
10
10
00
01
00
00
10
00
11
10
01
00
00
11
10
10
11
00
00
10
01
10
10
10
00
00
00
00
10
10
10
00
10
00
10
10
00
10
10
01
00
00
11
00
00
10
10
01
00
10
10
11
11
00
11
00
00
10
00
10
11
00
01
00
00
11
10
01
00
10
10
10
10
00
00
11
11
00
00
11
10
11
01
10
01
11
10
10
11
00
11
11
00
10
00
01
00
00
10
10
00
00
11
01
01
00
10
10
00
00
10
00
01
10
00
01
01
01
11
10
10
01
10
11
01
01
10
11
00
11
00
11
00
00
10
10
11
00
00
01
00
11
10
11
11
00
00
11
01
01
01
11
00
10
10
00
01
10
11
00
01
00
11
00
10
10
10
00
01
00
11
10
11
10
10
10
00
00
10
11
00
01
10
10
00
10
11
00
00
11
11
01
10
10
10
01
00
00
01
10
10
01
00
00
00
10
10
00
00
10
01
00
00
10
10
00
11
00
00
10
01
00
11
00
10
00
00
00
00
11
11
10
00
11
10
10
10
00
00
10
10
10
10
00
10
10
00
10
10
00
10
11
00
11
01
00
10
11
10
11
00
01
10
10
01
01
00
10
00
00
10
01
10
11
00
01
11
11
10
01
00
01
11
01
01
10
11
01
00
10
01
01
10
10
00
00
10
10
00
11
00
00
11
10
10
00
10
00
01
11
11
10
10
01
01
10
01
10
10
00
00
00
10
10
00
01
00
00
10
11
10
11
01
00
10
00
10
01
10
10
11
00
00
00
00
10
00
00
00
00
10
00
01
10
00
11
10
01
11
10
01
00
00
10
00
00
10
00
00
11
10
10
10
00
10
00
10
00
10
11
01
01
01
10
10
00
11
01
00
00
11
01
10
01
10
00
00
01
11
10
11
00
01
00
10
10
00
01
10
11
10
10
00
10
00
00
00
10
10
10
11
01
00
00
00
01
10
00
11
10
01
11
11
00
00
01
10
11
00
00
01
10
10
10
10
00
11
10
00
00
10
10
10
11
11
01
11
10
10
10
00
10
11
00
10
00
10
00
00
11
10
00
11
10
00
00
01
00
00
01
00
10
01
00
10
01
11
00
11
01
00
10
00
00
11
10
00
00
10
00
10
11
00
00
00
00
00
11
00
10
10
10
01
01
01
11
00
10
10
01
10
11
00
01
10
01
01
00
00
10
10
01
10
10
11
00
01
00
00
00
00
10
10
10
10
10
00
00
00
00
00
00
00
10
00
00
00
10
11
01
10
01
10
00
00
00
00
00
00
11
00
00
10
00
10
00
10
00
10
11
01
00
01
10
10
11
11
10
11
11
01
10
10
00
10
00
00
10
11
00
00
11
10
11
11
00
00
00
10
11
10
01
11
10
00
00
01
10
00
01
00
10
00
00
01
10
10
00
11
10
11
00
10
11
10
01
10
00
01
10
00
10
01
00
10
11
00
10
10
00
11
10
10
01
00
10
10
11
00
00
10
11
10
11
01
00
10
00
00
10
10
01
01
10
11
11
00
10
01
00
11
10
00
11
00
00
10
00
01
00
10
00
00
10
00
10
10
00
00
00
10
10
10
00
01
10
10
10
10
01
00
00
10
10
10
01
00
11
11
00
01
00
01
10
10
00
10
10
11
00
00
00
01
01
01
10
11
11
00
01
10
00
00
00
00
10
00
00
00
11
10
11
00
00
10
10
10
00
01
10
10
00
00
00
01
00
11
10
00
00
10
11
10
10
00
10
00
10
00
10
10
00
00
11
00
11
10
01
11
10
01
01
11
10
00
00
10
10
00
01
11
10
00
11
10
11
00
10
11
00
00
11
11
00
10
10
00
01
11
10
10
01
00
00
01
11
01
00
10
10
01
00
10
10
10
00
00
10
10
01
01
00
11
00
11
00
00
10
01
01
10
10
00
00
11
00
01
10
00
01
10
00
00
01
10
00
01
10
11
00
00
01
10
01
00
10
10
10
00
11
01
10
10
00
01
00
11
00
01
00
00
11
10
11
10
11
00
00
01
01
00
10
11
10
11
00
01
00
10
00
00
00
10
10
10
01
01
11
00
01
01
01
00
00
01
11
10
01
11
00
00
11
10
10
10
10
00
10
10
01
00
01
10
10
11
11
01
00
00
10
00
00
10
11
10
10
00
10
10
01
11
10
10
00
00
10
00
10
00
01
10
10
00
01
10
00
00
00
10
10
11
00
11
01
00
11
01
00
10
01
10
00
00
10
00
11
10
01
10
01
11
11
10
01
00
10
11
01
00
00
01
00
00
00
00
10
10
00
01
10
10
10
11
00
00
00
10
10
10
00
00
10
11
00
10
01
00
01
00
00
10
10
00
01
11
10
01
10
01
10
10
00
00
00
10
00
00
10
10
01
11
01
01
10
10
00
01
10
00
01
10
10
10
01
00
11
11
10
10
11
01
01
00
10
00
10
00
10
10
01
00
10
00
01
01
00
10
10
01
01
00
01
10
10
00
01
10
10
00
00
01
01
10
10
00
10
11
00
10
10
00
00
10
00
00
10
01
00
10
10
10
10
10
10
10
10
10
11
11
00
11
00
11
00
10
10
00
00
10
00
00
00
00
11
00
01
01
01
00
10
00
11
10
10
10
01
00
00
11
00
11
00
00
11
11
11
00
10
10
00
10
10
00
00
11
11
10
00
00
10
00
00
10
01
00
11
11
01
01
10
10
00
01
00
00
11
10
00
10
10
00
10
11
01
11
10
00
00
10
00
10
11
00
10
00
00
11
11
11
11
00
00
00
01
00
00
00
11
10
11
00
10
10
10
01
00
00
10
01
10
00
10
01
10
10
10
10
01
00
10
01
00
11
10
10
00
00
10
10
00
00
11
11
11
10
11
00
00
10
10
01
01
10
10
11
11
00
11
10
00
01
00
00
10
10
00
11
10
00
00
11
10
11
10
01
01
00
10
11
10
11
01
10
10
10
00
00
10
00
00
00
11
11
11
11
01
10
10
10
00
11
00
10
11
00
10
00
00
00
00
11
10
00
00
10
00
00
00
10
00
01
00
10
11
01
10
00
11
01
10
10
01
00
01
00
10
10
00
11
00
00
10
10
00
11
11
00
00
00
11
00
11
00
00
10
10
00
01
01
10
00
01
10
10
01
10
10
01
11
01
01
10
11
01
00
10
01
01
10
00
00
10
11
01
00
00
11
10
10
10
01
01
00
01
00
10
00
00
10
00
00
11
11
10
10
10
11
00
11
00
10
00
10
00
00
00
11
10
00
10
00
11
00
01
01
00
10
10
10
10
10
01
00
10
11
10
10
00
00
11
10
10
10
00
00
10
00
11
10
11
00
00
11
00
01
00
10
00
00
01
10
11
01
10
11
10
11
00
00
10
00
00
11
10
00
01
10
00
11
00
00
00
10
10
11
10
10
11
00
01
01
10
00
11
10
10
10
01
01
00
11
11
00
01
01
11
10
00
00
00
10
11
00
00
01
10
10
00
00
00
00
10
00
00
00
10
10
10
11
10
10
10
01
00
11
11
10
00
00
10
10
00
00
00
10
01
00
10
00
11
11
01
01
11
00
00
10
01
00
11
10
10
01
00
10
00
10
10
10
00
10
10
10
00
01
10
00
10
00
01
01
10
10
01
01
00
10
10
00
01
11
10
01
10
00
01
10
01
01
00
10
10
00
10
00
00
11
01
00
00
11
00
10
01
00
10
10
10
11
10
01
00
10
10
00
01
10
00
00
01
10
00
10
10
10
01
01
11
00
00
00
11
10
01
11
00
10
11
10
01
00
10
10
11
11
11
10
01
10
10
00
01
10
10
10
00
10
00
00
11
10
00
01
00
11
11
10
10
10
00
10
10
00
00
00
11
00
00
10
10
01
01
10
11
10
10
11
00
10
10
11
01
10
11
00
10
01
10
00
01
00
11
11
10
10
11
10
00
10
11
01
11
00
10
11
00
10
10
11
01
00
10
10
00
01
00
01
00
10
00
01
10
10
00
00
10
11
00
11
11
10
11
00
11
01
10
11
10
11
01
10
11
00
00
00
10
11
10
01
00
10
11
10
10
11
11
00
10
01
00
11
10
00
00
00
11
01
10
11
00
11
00
10
10
10
00
00
01
10
01
01
11
00
00
11
10
11
01
10
01
11
10
00
10
01
10
11
00
01
00
00
10
10
00
01
10
11
00
11
00
11
10
00
10
01
11
10
11
10
10
00
00
10
11
00
10
10
10
10
10
10
00
01
10
00
10
00
00
00
10
00
01
10
11
10
10
00
10
11
00
10
10
10
01
10
01
10
01
11
01
00
00
10
10
00
00
00
10
00
01
10
10
10
00
00
00
00
11
11
01
10
00
11
10
11
11
11
10
01
00
01
00
10
11
10
00
10
11
01
11
00
01
01
10
01
00
10
11
11
01
10
11
00
10
00
11
10
00
00
11
00
11
11
11
00
01
10
11
01
01
10
11
00
11
11
00
00
01
11
10
11
00
10
01
00
00
11
10
00
00
10
10
10
00
00
10
01
10
10
00
01
01
10
11
00
01
11
11
10
00
01
10
11
01
11
10
11
01
11
11
00
01
10
00
00
10
10
10
10
00
01
10
01
00
00
00
00
10
00
10
11
00
01
11
00
01
00
00
00
00
10
10
00
01
10
10
10
00
11
01
11
11
00
10
00
10
10
10
00
01
00
10
00
10
01
00
00
11
10
01
11
00
10
01
00
01
10
10
10
01
10
00
01
10
00
00
00
10
10
00
10
01
10
01
01
10
10
00
01
01
11
10
01
11
00
10
10
00
01
11
10
01
00
11
10
01
11
00
10
10
01
01
00
10
10
01
10
01
00
11
10
11
11
00
01
11
00
01
11
10
00
00
10
00
00
11
11
00
11
01
00
00
00
11
11
01
10
10
10
00
00
01
00
11
00
10
00
10
01
00
10
00
00
00
00
00
10
00
11
10
00
01
01
10
00
10
10
01
00
01
10
00
10
11
00
00
00
10
11
01
00
00
11
11
10
01
00
10
00
00
10
10
00
01
00
00
00
00
10
11
10
00
11
11
10
00
01
10
00
01
10
00
10
10
10
00
00
11
00
00
01
10
00
10
10
00
00
01
11
01
10
00
00
10
00
10
01
00
10
00
11
00
00
11
10
11
00
01
10
10
11
10
01
00
00
10
11
01
10
00
00
00
11
00
01
11
01
01
00
10
01
00
10
10
00
00
00
00
00
00
10
10
10
11
10
10
10
00
00
11
10
11
00
10
10
00
00
00
00
10
11
01
10
01
00
01
11
01
01
00
11
11
10
01
01
10
11
00
10
01
01
10
10
11
00
10
01
10
11
00
10
00
10
01
10
10
00
11
00
00
00
11
10
00
10
10
00
01
10
00
10
00
10
11
01
00
10
01
11
10
01
01
10
11
11
00
01
01
10
11
11
00
11
10
01
10
10
01
00
00
00
10
11
00
11
10
10
00
11
00
01
00
10
00
10
10
00
11
00
00
01
00
00
10
10
10
00
00
10
00
10
00
01
00
10
00
01
00
11
11
10
10
11
01
00
11
11
01
00
00
10
11
10
00
01
10
11
10
10
01
11
01
00
10
10
01
00
10
10
00
00
00
00
10
00
00
10
00
00
00
11
11
11
10
00
11
10
10
10
00
00
10
10
00
00
11
00
00
10
10
11
10
00
00
00
01
00
10
00
00
11
10
10
01
10
10
10
00
00
00
00
10
01
00
00
11
00
11
10
00
10
10
10
10
10
00
10
00
01
11
10
00
01
01
00
00
10
11
01
10
10
00
10
00
01
00
10
11
00
01
10
00
10
10
10
01
11
11
00
10
10
10
00
00
00
10
10
11
01
10
11
01
00
10
10
01
01
10
10
10
00
00
00
01
11
10
01
01
11
10
10
11
11
00
00
00
10
00
10
00
10
01
01
00
11
10
01
10
00
01
10
10
01
00
11
00
10
11
01
01
10
00
01
11
00
10
10
10
00
10
00
00
10
10
10
10
00
00
00
00
01
10
10
00
01
10
01
11
10
00
00
01
01
10
11
11
00
11
01
00
00
11
11
01
01
10
10
01
00
10
01
11
11
00
00
01
00
01
00
10
10
10
10
11
00
01
11
10
01
00
01
00
01
11
11
10
00
01
11
10
00
00
10
00
00
10
11
01
11
11
00
10
00
10
00
01
10
00
10
10
10
10
10
10
11
10
00
00
00
00
00
00
10
10
00
11
00
01
10
00
00
00
11
00
11
10
00
01
00
10
10
11
00
00
10
11
00
11
10
00
10
00
00
10
00
10
10
11
00
01
10
00
00
10
00
01
10
11
10
10
11
00
00
01
10
10
11
00
00
00
10
10
00
10
10
10
00
01
00
11
10
00
01
10
00
10
10
11
00
10
00
00
10
11
01
10
11
00
01
10
00
10
00
00
01
10
11
01
10
11
10
11
01
10
11
00
00
10
00
00
10
10
10
00
00
11
10
01
01
01
01
01
11
00
10
10
00
00
00
10
11
10
00
10
10
01
00
00
00
10
01
11
11
11
10
11
00
00
00
00
10
00
11
00
11
11
10
10
00
10
10
00
00
10
11
01
10
10
00
10
10
00
10
10
00
00
00
10
11
01
00
10
01
01
01
01
10
11
10
01
11
10
00
00
10
01
00
10
01
01
11
11
00
01
11
10
01
00
10
10
00
00
00
10
10
11
10
01
01
00
01
00
11
00
10
11
00
00
10
00
00
10
01
10
00
10
00
00
10
00
01
11
11
11
10
11
00
10
10
10
00
01
10
01
10
11
00
11
00
11
10
00
00
01
10
10
01
10
10
10
10
00
00
10
10
11
01
10
10
00
01
10
01
00
00
11
00
00
10
00
01
00
00
00
10
00
10
10
00
01
10
10
00
00
10
00
00
10
00
11
00
00
11
10
10
01
10
00
00
11
00
10
10
10
00
11
00
10
01
10
11
01
01
00
10
01
00
01
10
01
00
01
10
11
00
01
00
10
10
00
00
10
10
01
11
00
11
10
01
10
00
11
10
01
11
11
00
10
01
10
00
10
10
00
11
00
00
10
10
00
10
00
10
11
00
11
10
01
00
10
10
01
10
00
10
11
10
10
10
00
11
01
10
10
00
00
00
11
10
10
00
00
11
00
00
10
11
00
10
00
10
11
00
10
11
10
00
01
01
11
00
00
10
01
10
01
11
10
00
00
01
10
10
10
00
00
00
00
10
11
00
00
00
10
11
10
00
01
00
00
11
11
00
00
11
10
10
10
10
01
00
11
00
10
00
10
11
00
10
10
10
01
10
01
00
01
00
10
10
01
00
11
01
10
10
00
10
00
11
10
10
01
00
10
00
10
10
11
10
10
00
00
01
10
10
01
00
10
11
00
11
11
11
00
10
10
10
00
00
11
10
01
00
01
10
10
00
10
10
01
10
11
00
01
00
11
00
01
11
10
01
00
01
10
11
00
00
10
00
10
10
10
00
10
00
11
11
10
10
01
10
00
10
10
00
01
10
10
00
00
01
01
01
11
00
00
00
00
11
10
00
10
00
10
11
10
01
01
00
01
10
00
00
01
10
00
10
10
00
01
00
00
10
10
11
11
10
00
10
11
00
00
11
11
10
10
00
00
10
00
00
00
00
00
10
10
10
10
10
11
01
11
10
00
10
10
01
00
00
11
00
00
11
10
10
10
10
00
01
10
10
00
01
10
00
00
01
01
10
10
00
00
00
00
11
11
00
10
10
10
10
11
00
00
10
10
10
10
10
00
11
00
10
10
00
00
11
11
01
00
00
00
10
00
10
01
01
01
10
11
11
10
00
01
00
10
00
00
10
00
01
10
01
10
00
00
00
01
00
10
00
11
01
00
11
11
10
00
10
10
10
01
00
00
10
01
00
10
00
11
00
10
10
01
10
11
11
01
01
00
01
01
11
00
00
10
10
01
00
10
10
00
00
10
00
00
11
10
11
11
10
00
00
10
10
10
01
00
11
00
01
00
11
10
11
11
00
11
11
01
00
11
10
10
00
00
01
10
10
00
10
00
01
11
10
10
10
00
00
11
11
10
00
10
00
10
00
10
10
11
10
10
10
00
00
00
01
10
01
01
11
01
01
10
01
01
10
11
01
10
00
00
11
11
10
00
10
10
01
00
11
00
11
00
11
10
00
10
01
10
11
10
10
11
00
01
10
00
01
10
10
10
10
00
00
00
00
00
00
10
10
01
00
00
01
10
11
01
10
10
00
10
10
00
00
01
10
01
00
00
11
10
01
10
00
10
00
01
10
11
01
11
00
11
10
01
11
11
00
00
00
10
00
00
00
10
01
00
10
11
00
00
10
11
01
01
11
01
11
10
11
00
10
10
01
00
10
11
00
00
10
01
10
11
00
01
00
10
00
01
10
10
10
10
01
10
00
01
10
10
10
11
01
00
10
00
11
10
11
10
01
10
10
10
00
11
11
00
00
00
10
11
10
00
10
10
00
10
10
01
10
01
11
10
11
00
11
10
10
00
00
10
11
10
10
00
01
10
00
11
01
00
00
01
10
10
01
10
00
00
11
11
10
10
11
00
00
10
00
00
01
10
11
00
00
10
00
10
11
10
00
01
00
10
00
10
00
00
00
10
00
00
00
01
01
11
10
10
00
11
10
01
00
10
11
01
10
01
00
10
00
01
10
00
01
11
11
00
11
11
00
00
10
10
00
10
10
00
10
10
00
01
10
01
10
01
00
00
01
00
00
01
10
10
01
01
01
00
10
00
10
10
00
10
10
11
10
10
10
00
11
11
01
01
11
10
00
10
00
01
10
10
01
10
00
00
10
11
01
00
10
00
11
01
10
00
01
10
10
10
11
11
01
11
10
10
00
00
10
00
01
10
10
10
00
00
11
01
00
11
11
00
11
01
10
00
00
10
00
01
10
00
10
10
00
00
00
10
10
10
00
00
01
00
11
00
11
00
10
00
00
00
11
10
01
00
01
00
10
11
00
00
10
10
00
00
10
10
10
10
00
01
01
10
01
11
11
00
11
10
00
10
10
00
01
00
01
00
10
11
10
01
00
11
10
10
10
01
01
01
11
10
10
01
10
00
00
10
10
10
00
01
10
00
01
10
11
00
00
10
11
10
00
00
01
11
10
11
00
00
10
00
10
00
10
11
00
00
00
00
00
00
10
01
10
11
10
10
01
00
00
00
11
00
00
00
11
11
00
10
01
10
10
11
10
00
00
01
11
00
11
10
00
11
00
00
10
10
00
10
00
10
00
11
00
10
00
00
11
10
10
00
01
00
00
00
10
01
10
01
00
11
00
00
01
11
01
00
11
10
10
11
00
00
01
11
10
10
00
00
00
10
00
11
10
00
11
00
01
11
11
01
00
10
00
00
00
00
11
10
10
01
10
01
10
00
11
10
10
10
00
01
10
00
01
10
11
10
00
11
00
10
10
00
01
10
00
10
10
00
01
01
10
00
00
10
11
10
00
10
10
10
01
00
10
01
01
11
11
11
00
11
10
00
00
10
10
00
10
10
10
11
00
10
10
00
01
00
10
10
01
10
00
01
10
10
01
01
10
00
01
01
10
01
01
00
11
01
10
10
10
01
11
01
00
11
10
00
10
01
10
10
00
00
00
10
10
11
11
01
00
11
10
10
00
10
11
10
01
10
00
00
00
00
01
00
00
11
11
11
10
00
11
01
01
11
11
01
11
10
00
10
10
01
00
10
11
00
11
10
00
00
00
01
00
01
11
10
01
00
10
10
00
00
11
00
11
00
10
00
10
00
00
00
10
01
11
10
00
11
01
10
01
10
00
00
11
01
00
10
10
11
10
10
00
10
10
10
10
01
00
00
11
10
10
01
01
11
10
11
00
01
00
10
00
00
10
11
11
00
10
11
11
00
00
10
10
01
10
01
00
10
00
00
11
10
11
10
11
00
01
00
10
00
10
00
00
10
10
00
01
00
10
10
10
01
11
11
10
00
01
01
00
00
00
10
11
01
11
10
01
00
10
10
11
00
01
01
01
00
10
10
00
10
10
00
00
10
10
11
00
00
10
01
01
10
10
00
10
00
10
00
10
01
00
00
00
00
01
10
00
11
10
10
11
00
01
10
00
00
00
00
10
11
11
10
00
00
10
10
11
00
00
11
11
11
00
11
00
00
00
01
10
10
00
01
00
10
10
10
01
10
11
11
00
10
01
00
10
01
00
00
00
10
10
00
00
10
11
01
00
11
00
11
10
01
01
11
00
00
10
10
10
00
11
01
01
10
01
00
10
10
00
00
00
10
10
01
10
10
01
10
11
10
00
01
00
00
01
10
10
10
10
00
00
10
11
00
11
00
00
10
01
00
01
11
01
00
10
11
00
10
11
10
11
10
00
00
01
01
01
11
10
10
01
00
00
01
10
11
11
01
10
11
01
00
11
11
11
00
10
10
11
11
01
00
01
00
11
00
10
10
00
01
10
01
01
11
00
10
00
10
10
00
10
11
00
10
10
01
00
00
00
00
11
10
10
11
01
10
11
00
00
00
10
10
10
00
00
00
10
00
10
11
10
10
00
00
11
10
00
10
01
00
00
10
11
11
00
11
10
11
01
00
00
00
10
10
10
00
01
01
01
10
11
10
01
10
10
00
00
10
10
11
00
11
11
10
00
10
00
00
01
01
01
00
10
00
01
01
01
10
10
10
00
10
10
01
00
00
00
01
00
00
10
11
00
11
10
00
10
11
11
10
00
00
10
01
01
00
00
11
00
01
01
11
10
00
01
11
10
00
10
00
10
11
00
10
10
00
11
01
10
00
10
00
00
10
01
10
10
00
01
00
10
00
00
11
11
11
00
00
01
10
01
00
10
10
10
10
00
00
11
11
11
00
10
10
10
01
00
10
00
01
11
11
00
00
10
11
10
10
10
00
00
00
10
00
00
10
00
10
00
00
10
11
01
11
10
11
10
00
10
00
00
10
01
00
10
00
00
01
10
10
10
00
10
11
00
01
00
10
10
00
01
11
00
01
10
00
11
00
10
00
00
10
01
01
00
01
10
10
11
00
01
11
11
00
10
10
00
00
11
10
01
11
00
01
01
10
00
11
10
00
11
10
11
10
11
11
00
00
00
01
00
10
01
10
10
00
10
00
01
10
01
00
10
10
00
10
10
01
00
00
10
01
00
11
00
11
00
10
00
10
11
01
10
10
01
00
11
00
00
10
00
00
00
10
10
11
00
10
01
01
01
00
10
11
10
10
10
10
00
10
10
00
11
00
10
01
11
01
01
11
11
10
01
01
00
11
10
10
11
10
10
00
10
00
00
10
11
10
10
11
11
00
01
01
00
00
11
10
10
00
11
10
10
11
10
00
00
11
00
00
01
10
10
10
00
00
01
10
10
10
01
00
01
00
00
10
11
11
01
11
10
10
00
11
11
11
00
00
11
10
01
01
10
10
11
01
10
10
01
00
00
01
00
00
00
10
10
10
10
00
00
10
00
10
10
00
10
00
01
10
00
11
01
10
00
10
10
10
00
01
01
11
00
00
01
10
01
11
00
10
11
11
10
01
10
11
10
00
11
00
01
11
00
10
01
00
00
10
10
01
01
00
10
00
01
00
11
00
00
10
11
00
10
10
00
10
10
10
01
00
10
11
11
00
10
11
01
00
00
00
00
10
10
11
11
01
01
10
10
00
01
10
11
00
00
00
10
10
10
10
00
01
00
11
11
01
11
01
11
10
11
00
01
10
10
01
00
00
10
00
10
10
10
10
01
10
10
00
10
10
10
00
00
10
00
00
11
10
11
10
00
11
11
11
01
10
10
10
10
10
00
11
10
00
01
10
10
11
10
00
11
01
10
10
00
11
10
00
10
00
10
11
10
01
11
00
10
00
00
10
10
10
10
00
01
01
00
10
01
10
00
01
10
01
01
11
01
01
11
10
10
10
00
10
10
00
00
11
00
10
11
00
00
10
01
00
11
10
01
00
10
01
11
00
10
10
01
01
10
00
11
00
01
01
01
10
00
00
11
00
01
10
01
00
01
10
10
01
01
00
10
00
11
01
00
00
00
10
00
00
10
01
00
00
11
00
10
10
10
11
11
01
00
10
10
10
00
00
10
11
10
00
01
11
01
10
10
00
10
10
00
11
00
01
00
11
10
10
00
10
11
00
00
00
10
10
10
00
10
11
00
00
00
11
10
00
00
11
00
00
00
00
11
00
00
11
10
01
10
10
10
00
00
11
00
00
11
10
00
00
11
00
00
10
10
10
11
10
00
10
01
00
01
10
10
01
00
11
10
01
00
00
10
10
00
10
11
10
00
10
11
10
01
00
00
00
11
11
01
11
11
10
11
00
00
11
11
11
00
01
01
00
11
10
10
00
11
00
10
01
00
11
10
01
10
10
10
11
00
10
01
01
10
01
00
11
00
00
10
10
00
01
01
10
10
10
11
01
01
10
10
01
01
11
11
10
10
10
10
00
00
11
00
00
10
00
11
00
10
00
10
00
10
01
10
10
10
10
11
10
01
10
01
00
10
10
11
11
01
11
11
01
10
01
00
11
10
00
00
10
10
01
10
10
11
00
10
10
10
00
11
10
11
00
00
00
01
00
00
10
11
00
10
00
00
10
10
11
01
11
00
00
00
01
11
10
00
00
00
11
00
00
10
00
00
00
00
10
11
01
00
00
00
00
11
00
10
11
10
10
00
00
00
01
00
10
11
10
11
00
10
00
10
01
10
10
11
10
00
10
00
10
00
00
00
01
00
11
10
00
10
10
10
01
10
11
01
10
10
01
00
01
10
11
10
00
01
11
00
00
10
11
10
00
00
01
10
01
10
11
10
10
00
10
10
01
10
11
00
01
10
11
10
00
00
00
11
11
00
11
11
00
01
00
11
10
10
01
10
10
00
11
01
00
10
10
00
01
11
00
11
00
00
10
10
01
11
10
00
00
01
00
11
10
00
10
10
00
11
11
00
11
10
00
10
00
10
00
01
10
10
00
10
00
10
00
00
01
10
11
00
01
10
10
00
00
00
11
10
11
00
10
11
10
10
00
00
11
00
01
10
01
00
11
00
10
00
10
01
11
11
00
10
10
11
10
11
00
00
00
01
10
10
01
00
00
10
00
10
10
10
10
10
00
10
01
10
01
00
10
00
10
00
10
10
10
10
10
11
00
00
11
01
00
10
01
00
10
10
01
00
10
10
00
10
00
00
11
10
10
01
00
11
10
10
00
01
10
11
10
00
00
01
11
10
10
00
00
10
00
11
10
01
00
11
10
01
00
10
10
10
01
01
00
10
11
00
00
01
10
10
00
00
10
00
11
01
11
10
10
00
00
00
00
10
11
10
11
00
00
00
10
10
11
00
00
01
11
10
11
11
00
00
01
00
10
10
00
00
11
00
00
10
10
10
00
10
10
00
10
11
10
11
00
00
01
00
01
10
10
01
01
10
10
01
00
11
11
10
00
00
11
11
10
00
00
10
00
01
10
01
10
11
00
10
01
10
10
00
00
10
00
11
00
00
00
11
00
00
11
11
11
00
10
00
00
10
01
11
10
00
10
10
10
00
00
00
01
10
11
00
01
00
00
10
10
01
00
00
11
01
00
00
10
00
00
00
10
10
11
00
01
01
00
10
00
10
01
00
10
10
00
11
10
10
01
00
11
00
01
11
10
10
00
10
00
00
10
00
10
10
10
00
00
00
10
00
00
10
11
10
11
10
11
01
00
10
10
10
11
00
01
00
10
01
11
10
01
00
10
00
10
10
00
11
00
00
10
00
00
00
00
10
10
10
00
00
00
11
00
01
11
00
11
01
00
01
10
10
11
01
00
11
00
00
10
10
10
01
00
11
10
10
11
10
10
10
11
00
10
10
10
10
00
01
00
01
00
11
00
10
01
00
10
11
00
00
10
00
00
10
10
00
01
10
00
11
01
00
00
11
00
10
10
11
11
00
10
00
10
00
00
00
10
01
10
11
00
00
10
01
00
10
01
10
10
01
00
00
00
10
01
00
00
10
11
01
01
10
11
10
00
11
00
11
00
10
10
10
00
00
11
00
00
00
10
10
00
00
10
01
01
11
10
01
10
10
00
00
00
11
10
01
00
11
10
10
01
11
01
01
00
10
00
10
00
11
11
00
10
00
00
00
00
10
10
01
10
10
11
10
00
10
00
01
00
11
00
00
11
10
01
00
11
10
11
00
11
10
00
01
11
10
00
00
11
11
10
11
01
10
10
01
00
10
00
01
10
10
00
11
01
10
01
00
10
00
00
10
01
01
00
10
00
00
11
11
01
11
11
00
00
10
00
00
10
10
01
11
10
00
00
00
10
10
00
00
10
00
10
11
00
10
11
00
10
00
01
10
01
01
10
10
00
11
10
00
00
11
11
00
00
10
00
10
00
01
00
01
10
00
10
10
11
00
00
11
11
00
01
10
00
00
00
00
10
10
00
10
01
10
00
11
01
11
00
01
00
10
10
10
01
11
00
00
01
00
10
11
11
01
11
10
00
00
00
11
00
00
10
01
00
11
01
01
00
01
11
00
00
10
00
00
10
10
11
11
10
11
11
00
11
10
10
00
00
10
10
00
00
00
01
00
10
00
10
11
00
10
00
00
11
10
00
01
10
00
00
01
10
11
00
00
01
10
11
00
10
10
11
00
10
01
01
01
10
10
00
01
00
11
10
00
11
10
10
00
11
10
00
10
10
01
10
00
10
00
01
01
00
10
11
10
01
10
11
00
01
01
11
11
00
10
11
01
01
01
11
11
11
00
11
10
00
10
01
00
10
10
00
10
11
00
01
10
10
00
10
00
11
00
00
00
10
10
10
01
00
01
01
10
10
10
00
00
10
10
10
10
00
00
00
00
11
10
10
10
10
10
00
10
01
00
00
01
11
00
00
11
00
00
00
10
10
11
01
10
00
00
01
00
00
10
10
10
00
01
11
00
10
10
01
10
00
11
11
01
11
10
01
00
11
10
11
01
01
00
11
11
01
11
00
00
11
10
00
11
11
00
10
10
11
00
01
00
01
00
00
00
10
10
00
11
00
11
10
11
11
10
01
10
10
00
11
00
01
00
10
10
11
10
01
10
10
00
11
00
00
00
10
10
00
10
10
01
00
00
00
00
00
00
00
10
10
11
10
10
10
00
00
01
11
10
00
11
10
00
00
00
11
11
00
00
00
10
00
10
01
11
00
11
10
10
00
10
10
00
01
00
10
10
11
00
10
10
01
10
01
11
10
00
00
01
10
10
00
00
10
00
00
10
10
00
10
10
00
10
10
01
11
10
11
11
01
00
00
00
10
01
00
10
01
01
00
00
10
00
00
10
10
10
00
00
00
11
11
11
01
01
01
00
11
00
11
10
00
11
01
10
00
10
11
00
01
11
01
01
00
01
00
01
10
01
01
11
01
01
01
00
00
11
01
00
11
10
00
10
00
10
01
00
10
10
00
00
00
10
01
01
10
01
10
00
11
00
00
10
11
00
01
00
10
10
11
10
01
00
10
00
00
10
10
10
00
01
10
10
11
11
01
00
10
00
01
10
10
10
00
01
10
10
00
01
10
01
10
10
00
10
10
00
11
01
01
01
00
11
00
00
10
11
00
00
11
10
10
11
11
00
10
11
01
10
00
10
00
10
10
00
00
00
00
10
01
01
10
10
11
10
10
01
11
10
11
10
10
00
10
00
00
01
11
10
00
01
00
10
00
11
10
11
11
01
00
11
01
10
10
00
01
00
01
10
00
00
10
11
01
00
11
00
11
10
11
01
00
00
00
10
10
10
01
11
00
01
00
11
10
11
10
00
01
11
00
01
00
10
01
01
11
00
10
00
11
00
11
10
00
01
00
00
10
10
00
00
11
11
10
10
01
00
11
00
10
00
11
10
00
10
00
10
00
10
11
10
10
01
00
10
00
10
10
10
00
10
10
11
00
00
11
01
10
00
10
00
11
11
01
01
00
10
10
10
00
11
00
11
10
10
10
00
00
10
10
00
10
10
00
00
10
10
11
11
10
00
00
10
10
01
11
11
10
00
00
11
10
01
01
10
00
00
10
11
00
01
10
00
00
00
10
00
00
10
10
00
01
00
11
00
10
11
11
01
00
11
10
00
00
00
01
10
01
00
00
11
01
01
01
11
10
11
00
01
11
10
10
10
00
00
10
10
01
01
10
00
00
00
00
11
11
00
10
00
00
00
00
01
10
01
00
11
01
00
11
10
11
11
00
00
10
10
00
11
11
10
10
10
00
00
00
10
01
10
01
01
01
00
11
00
01
00
10
10
00
00
11
00
01
01
10
00
01
00
10
01
01
10
10
10
11
00
10
10
01
00
00
11
00
11
10
10
11
10
00
11
11
01
00
11
10
10
00
01
01
10
10
00
00
11
10
11
00
00
10
00
00
01
10
10
00
10
00
01
00
10
00
00
01
11
00
00
00
01
01
10
10
00
00
10
11
01
00
01
10
00
00
10
11
11
00
01
10
00
00
10
11
10
00
01
01
10
10
00
11
00
00
10
11
11
01
10
00
10
01
00
10
10
00
10
10
00
00
10
10
00
01
10
00
10
10
10
00
01
01
00
10
10
11
10
00
11
00
00
10
10
10
10
00
00
10
10
00
11
10
10
10
00
10
01
10
11
01
11
01
00
11
10
00
00
10
11
10
11
01
01
11
01
00
10
10
00
00
10
10
10
01
00
00
11
10
10
01
10
11
00
01
00
10
10
01
00
11
00
00
00
00
10
01
00
10
11
01
00
00
00
10
11
10
01
10
10
00
00
00
10
10
10
00
10
11
11
00
01
01
11
00
00
10
10
00
00
01
10
10
01
01
01
10
10
01
00
00
11
01
00
11
10
10
10
00
00
00
11
10
10
10
01
10
01
00
00
11
10
10
00
11
11
10
01
00
10
00
00
10
01
00
10
01
00
11
10
01
00
11
00
01
00
11
10
01
10
11
01
00
01
10
01
10
10
01
01
10
10
00
00
00
10
00
10
10
01
10
00
01
10
11
10
01
01
11
11
00
00
00
11
10
00
01
11
10
00
10
00
10
01
11
10
10
10
10
01
00
00
01
11
00
00
10
10
00
10
11
11
01
01
00
01
10
10
00
11
10
11
01
00
11
10
00
00
00
00
10
10
00
00
11
10
01
00
11
11
10
01
10
00
11
10
00
10
00
01
01
00
10
10
00
00
00
10
10
10
00
01
00
00
10
10
10
10
00
00
00
10
00
10
00
10
00
10
11
01
00
10
01
10
10
11
00
01
10
11
01
11
10
10
11
11
10
01
11
10
11
10
00
01
10
00
01
10
00
10
00
11
10
10
10
00
10
10
00
10
10
00
00
10
00
10
01
00
00
01
10
01
00
10
11
11
10
01
00
01
11
11
01
00
00
11
10
11
10
00
00
10
00
00
00
10
00
00
10
10
10
00
01
00
01
01
01
10
00
10
01
11
10
00
00
10
11
01
11
01
11
11
10
01
00
10
01
00
10
10
10
01
00
10
10
10
01
00
10
10
00
01
01
11
01
00
10
10
01
10
11
10
01
00
10
11
00
00
11
00
11
10
00
00
11
00
10
11
00
10
01
10
01
11
10
10
00
10
00
00
10
01
00
10
10
01
00
00
01
11
11
01
10
10
00
00
01
10
10
00
10
00
10
01
00
11
11
10
10
11
00
10
00
10
01
00
01
01
01
10
00
00
10
00
00
11
11
00
01
10
10
00
11
10
11
00
10
00
00
00
11
10
01
01
10
00
11
10
00
00
10
10
10
00
01
00
01
01
10
10
11
10
11
00
01
10
11
01
00
00
10
00
00
10
11
01
00
00
11
01
10
00
11
11
00
00
01
10
11
00
11
10
00
00
00
00
10
01
10
11
00
11
11
01
01
11
11
00
00
01
10
10
00
11
11
00
10
10
00
00
00
01
10
11
00
01
01
00
00
10
10
00
10
11
00
00
11
01
00
11
10
00
00
10
00
00
10
10
00
00
11
10
10
00
01
10
10
11
10
00
10
10
01
10
00
01
01
00
00
10
00
00
00
10
01
10
11
10
00
00
00
01
10
01
00
00
00
11
01
00
00
10
00
00
01
01
10
01
00
01
10
00
01
11
10
00
10
00
00
10
00
10
01
11
01
00
11
11
11
10
00
10
10
10
00
00
01
11
10
10
11
10
11
00
10
10
00
11
00
10
10
00
01
00
00
10
10
01
00
10
10
10
10
00
00
00
00
00
10
10
00
00
01
10
00
00
10
01
00
00
11
00
11
00
01
00
00
10
10
01
11
10
00
01
00
00
00
10
11
10
00
01
00
11
00
10
10
10
10
01
00
10
10
01
00
11
01
11
10
10
10
01
11
11
00
10
00
00
01
11
10
00
01
11
10
10
10
01
10
10
01
01
01
10
00
11
10
10
00
10
10
10
10
10
11
00
11
10
01
00
10
10
00
11
11
11
10
00
11
01
00
00
11
10
00
11
10
00
11
10
10
00
01
10
00
00
00
01
10
10
00
01
10
01
10
10
11
10
10
00
10
11
00
00
01
11
10
01
00
00
11
10
01
01
01
11
11
10
00
00
10
01
10
10
00
00
10
11
10
01
00
11
00
00
00
10
00
00
10
10
10
00
01
01
11
01
00
10
10
10
00
10
01
01
10
11
01
10
10
00
10
01
01
10
11
01
01
11
00
10
01
00
10
00
00
11
10
10
01
01
11
10
10
01
00
10
01
11
11
01
00
01
10
10
01
11
10
00
10
01
00
01
01
01
10
11
01
10
10
10
10
01
00
11
10
00
10
00
00
00
11
10
10
01
00
10
00
01
10
00
11
01
01
01
10
10
00
11
10
00
10
11
00
11
00
00
10
00
00
10
01
00
00
01
11
00
10
11
01
01
00
00
10
01
00
01
10
11
11
10
10
00
10
10
10
01
00
11
11
10
01
01
00
10
10
00
00
10
10
01
00
11
10
01
11
01
00
11
00
10
10
00
11
10
10
01
00
11
10
01
11
10
10
00
01
11
11
11
11
11
10
00
00
00
11
10
00
10
00
00
11
01
00
11
10
10
10
10
00
11
00
00
10
10
01
00
00
10
10
11
00
11
10
11
00
11
00
10
11
11
01
00
10
10
10
00
10
00
10
00
10
11
01
00
10
11
10
00
00
10
00
10
01
01
11
11
10
11
10
00
00
01
11
11
11
10
10
00
00
10
10
00
10
10
10
00
00
10
10
11
01
11
11
10
11
11
00
00
10
10
00
10
01
01
00
00
11
10
00
11
11
10
11
00
01
00
01
00
01
10
10
00
00
00
10
11
00
11
01
00
01
00
00
10
11
00
11
10
00
01
11
11
01
10
10
01
01
10
10
00
00
01
10
10
10
00
01
10
00
01
00
10
10
01
10
00
10
00
10
11
01
11
00
10
10
10
01
01
10
11
10
01
00
00
10
10
11
10
00
00
11
11
10
01
00
10
10
10
10
01
00
11
00
00
01
00
10
11
11
01
10
00
01
10
01
11
10
00
00
10
11
00
00
10
00
10
10
00
00
11
10
00
00
10
00
00
11
00
11
11
11
10
10
10
10
10
00
10
10
00
00
00
11
10
11
10
11
01
10
00
11
00
00
01
10
10
00
00
10
10
00
11
00
00
11
00
00
11
10
00
00
11
00
00
00
11
10
00
01
00
10
10
00
10
01
00
10
10
10
11
00
11
10
10
10
11
10
10
00
00
10
00
10
10
11
00
01
11
00
10
11
01
10
10
01
00
00
00
01
11
01
01
11
00
00
10
10
01
11
10
01
11
00
01
10
00
00
00
11
01
00
11
10
00
00
10
10
11
00
00
11
11
00
11
11
00
11
00
01
10
00
10
11
00
00
00
11
11
00
11
00
00
00
00
11
11
10
00
00
00
11
10
01
11
10
01
10
01
00
10
10
00
01
11
01
01
10
11
00
10
00
11
10
01
00
10
01
00
11
01
01
10
11
00
01
10
11
01
01
10
10
10
00
10
01
01
11
10
00
01
01
10
11
00
10
01
10
10
11
00
00
11
10
01
01
10
01
10
10
00
00
01
00
01
10
01
00
11
10
00
10
10
10
00
00
10
11
00
11
00
10
10
01
00
10
01
00
00
00
11
10
10
01
01
10
01
01
10
00
10
00
01
10
01
10
00
00
10
10
10
00
01
11
10
10
01
11
00
11
10
10
11
00
00
00
10
10
10
10
10
00
10
01
11
11
00
00
00
10
10
00
00
10
10
01
01
01
11
10
10
10
00
00
10
10
10
01
00
01
00
10
11
00
00
10
00
01
10
00
01
00
10
00
01
10
11
10
11
00
00
11
10
10
00
00
10
10
10
01
00
00
00
11
10
10
11
10
00
00
11
00
00
00
00
01
00
01
10
10
11
00
11
10
10
01
00
01
10
00
00
10
00
11
10
10
11
11
00
01
01
11
00
11
00
01
11
10
00
00
10
10
10
01
00
00
00
00
10
00
00
00
11
10
10
10
11
10
01
10
11
11
00
00
10
00
00
01
11
10
11
00
01
10
10
10
10
00
00
00
11
00
00
10
00
10
10
10
11
10
00
10
10
00
10
10
00
10
11
10
11
11
00
00
00
01
10
00
00
01
00
10
00
11
10
00
00
01
10
10
11
00
10
10
00
00
10
10
00
00
10
11
00
00
10
10
11
10
10
00
10
10
01
11
10
10
11
10
10
11
00
01
00
00
00
10
01
01
01
10
00
00
10
10
00
01
11
11
10
11
11
00
11
10
00
01
10
10
01
00
11
10
10
00
10
00
00
11
10
01
01
11
11
00
10
11
00
00
00
10
10
00
11
00
00
00
10
00
11
00
10
00
01
11
10
10
00
00
00
00
11
10
11
00
10
01
00
11
10
10
01
00
10
00
00
10
10
00
00
00
01
00
11
10
00
10
10
10
11
01
00
10
00
00
00
10
01
10
11
00
00
00
00
00
10
01
10
01
11
01
01
00
00
10
11
00
10
10
00
10
01
00
00
10
00
11
10
01
01
01
01
10
00
10
10
00
01
00
10
10
00
00
11
10
00
00
10
11
11
00
11
00
10
00
00
00
10
10
00
11
10
00
00
01
01
10
10
00
10
11
10
11
11
10
00
10
01
00
00
11
10
00
01
11
11
10
10
01
10
10
00
01
11
11
01
10
10
01
00
11
11
10
00
00
10
01
10
10
11
00
01
11
10
00
00
00
10
11
00
00
00
01
10
10
00
00
10
10
01
10
01
01
10
11
10
10
10
00
01
01
11
10
01
00
00
10
10
10
10
00
01
10
10
11
00
10
00
11
00
10
11
01
11
00
11
10
10
00
00
10
01
01
11
00
00
11
11
11
01
00
11
10
01
10
10
00
00
11
10
00
01
10
11
00
11
00
00
01
11
01
00
10
10
00
10
10
01
10
10
00
00
11
10
00
01
10
11
10
11
00
10
10
10
11
10
00
00
01
10
00
00
11
10
01
00
00
10
00
10
10
10
00
00
10
00
00
01
10
11
10
10
10
11
10
00
11
11
10
00
00
01
00
01
10
10
10
10
10
10
00
00
00
11
10
10
00
00
00
00
00
10
00
00
11
10
00
01
11
10
10
10
00
00
01
10
00
00
10
10
10
01
10
00
00
10
00
01
10
11
00
10
00
10
11
00
01
10
10
00
01
00
00
11
10
00
10
10
00
00
11
10
00
01
10
11
11
01
11
01
00
10
01
01
01
10
10
00
10
10
11
11
01
00
10
00
11
10
11
00
01
00
10
01
00
00
11
10
10
00
00
10
00
11
10
10
10
00
10
11
10
01
10
10
00
10
11
00
11
11
01
00
01
10
10
10
00
11
10
00
00
01
11
00
11
00
11
11
01
00
00
10
10
00
01
01
11
11
10
10
01
01
10
00
00
10
10
00
01
10
10
10
10
10
11
00
00
11
10
00
00
10
11
10
01
00
00
00
10
10
00
10
11
11
00
10
11
11
00
00
10
01
00
10
10
00
11
11
10
11
01
11
10
00
01
10
00
00
11
10
00
01
00
10
00
00
10
00
01
10
10
11
00
00
00
00
10
00
10
10
11
00
01
11
11
10
10
00
00
00
11
10
11
00
01
11
10
10
10
00
00
10
10
00
11
11
10
00
00
00
11
00
01
00
10
10
10
10
00
10
10
00
00
00
11
11
10
10
00
00
11
00
00
11
01
00
01
00
11
10
01
10
00
00
00
00
11
01
01
10
10
10
11
00
01
01
00
10
10
10
10
00
00
10
11
01
11
00
11
00
10
00
10
11
00
01
10
00
00
11
10
01
10
10
10
10
01
00
01
00
10
10
01
10
00
10
11
10
00
11
10
01
11
01
00
00
10
00
01
01
01
10
10
10
10
01
10
10
00
10
10
10
10
01
00
10
00
10
10
10
00
00
10
10
10
10
00
11
01
00
01
10
11
10
10
00
01
10
01
11
10
00
11
01
01
00
10
10
11
00
01
00
10
11
01
00
01
11
10
10
00
01
01
10
10
10
10
10
11
01
01
01
10
11
11
01
10
00
01
11
10
01
01
11
01
01
10
10
00
01
00
10
10
00
00
00
00
10
00
01
10
11
00
10
10
00
11
10
00
00
01
00
11
10
00
01
00
10
10
10
00
11
10
10
00
10
11
10
10
01
10
00
10
10
11
11
10
00
10
11
01
10
10
10
01
01
01
00
10
01
10
11
10
01
01
10
10
10
11
00
11
11
00
10
10
01
00
10
11
01
10
01
01
00
10
00
10
11
10
01
00
10
10
00
10
10
11
00
00
11
10
00
10
11
10
00
01
11
11
00
10
11
10
00
00
11
11
00
10
10
00
11
10
00
10
10
00
00
00
10
00
10
00
00
10
10
10
10
10
00
10
00
00
00
10
10
11
01
01
00
10
10
10
01
11
10
00
10
00
01
01
11
10
01
00
00
00
00
00
00
10
11
10
11
10
00
10
00
00
11
10
00
10
10
00
00
11
00
01
11
10
00
00
01
01
10
10
10
10
11
00
01
00
10
10
01
10
01
00
01
11
01
00
10
11
10
11
00
00
00
01
00
01
00
10
01
01
11
00
10
10
00
10
01
00
10
11
00
00
11
10
00
01
11
10
11
11
00
00
10
11
10
00
01
10
10
01
10
00
10
01
01
11
01
00
10
11
10
00
00
00
11
00
00
10
10
00
00
00
10
10
00
01
11
00
00
01
00
00
01
10
00
01
10
10
00
00
10
01
11
01
01
10
01
01
10
11
01
00
10
10
01
00
10
10
10
00
00
10
00
00
10
10
01
01
10
10
10
00
10
10
00
10
10
01
10
10
11
00
00
10
00
00
10
10
11
11
01
00
10
10
10
00
01
10
10
10
00
11
11
00
11
01
00
01
01
10
10
00
00
10
10
01
00
10
01
00
00
00
10
00
00
10
11
10
00
00
11
11
00
10
10
10
00
10
10
00
00
10
01
11
10
01
10
01
00
11
10
00
00
10
01
00
01
10
00
11
10
11
10
00
00
01
10
00
11
11
00
00
10
10
00
10
11
11
00
00
01
01
10
00
00
11
00
10
10
00
00
01
00
00
11
10
01
10
11
10
00
00
01
10
11
00
11
00
01
11
10
00
10
10
10
01
00
11
00
10
00
00
10
00
11
11
10
10
11
10
00
10
01
10
11
10
00
01
00
01
00
11
10
10
00
00
10
00
00
10
10
01
10
00
00
00
01
11
11
11
10
01
10
01
10
01
00
10
10
00
11
00
10
11
11
00
00
00
10
10
00
01
10
11
01
01
11
01
01
00
00
10
00
00
10
10
10
10
00
01
11
11
11
00
01
10
01
10
00
00
00
00
00
11
10
11
00
00
00
01
10
00
10
11
00
00
11
10
01
00
10
00
00
01
10
10
10
00
00
10
00
00
01
10
11
00
00
10
10
01
10
00
00
00
10
11
10
11
11
00
00
10
11
00
01
10
11
10
00
01
10
00
01
10
00
11
11
00
11
10
00
00
00
00
10
10
01
11
10
10
01
10
10
00
00
10
10
10
00
00
10
01
10
10
11
10
00
00
11
10
00
00
10
10
10
00
01
00
10
01
10
10
00
01
10
10
01
10
01
00
00
01
00
00
10
10
00
01
00
11
00
00
11
10
00
00
00
11
10
10
10
01
11
11
00
10
10
11
11
00
00
10
11
01
00
10
10
11
01
10
01
00
00
00
00
10
10
10
10
10
10
00
00
10
11
10
10
00
01
10
00
00
11
00
00
00
00
00
11
10
00
00
01
10
00
10
10
11
00
10
11
11
00
10
11
00
10
00
00
00
00
10
10
01
10
00
11
00
01
11
10
00
00
00
10
11
00
00
10
11
00
11
10
01
10
01
10
10
01
01
10
11
10
01
10
10
01
00
10
10
01
11
01
10
00
11
01
01
11
01
10
11
10
00
00
10
10
00
00
10
00
11
00
10
00
00
11
10
00
10
10
00
00
00
00
00
00
00
10
00
10
00
10
10
00
00
10
10
01
00
00
10
00
11
10
00
11
00
00
00
01
00
11
11
00
10
11
10
10
11
01
11
11
10
11
00
11
11
00
00
10
10
00
01
10
10
10
10
01
10
10
00
01
11
01
10
00
11
01
10
10
00
01
10
10
01
00
10
10
10
10
10
01
00
11
10
10
01
10
00
00
10
10
10
11
10
01
00
00
10
00
01
11
10
00
00
10
01
01
11
00
10
01
01
10
01
00
00
10
10
00
00
11
00
10
10
11
10
11
00
01
11
10
00
11
01
11
00
00
11
10
01
00
00
00
10
11
10
10
00
00
01
01
11
01
10
11
10
11
00
10
10
00
00
01
01
10
00
00
10
10
10
11
01
00
11
10
00
10
10
01
11
00
01
11
11
00
10
11
00
11
10
01
01
11
00
11
10
10
10
01
11
11
00
00
01
00
10
11
00
00
00
10
11
00
00
10
01
00
11
00
00
10
00
10
10
00
11
00
00
11
01
00
10
10
01
10
10
01
01
01
10
10
11
11
01
00
11
01
11
10
00
10
00
00
10
11
10
10
11
10
10
00
00
10
00
10
10
00
01
00
00
10
10
00
00
01
11
10
10
10
01
11
00
00
10
00
10
10
10
01
01
10
10
00
10
00
00
10
10
00
10
00
10
10
00
00
10
00
01
11
11
00
01
00
00
11
10
10
10
00
00
00
00
10
00
01
00
00
00
10
00
00
11
10
11
11
10
00
01
10
00
11
00
00
10
10
00
00
01
10
10
10
10
10
10
00
11
00
01
00
10
11
00
00
10
11
01
10
00
00
10
10
00
10
00
00
11
10
01
00
01
10
10
10
11
11
01
00
00
10
11
11
00
11
11
00
10
01
01
10
10
00
00
10
01
00
10
01
00
01
00
10
10
00
10
10
10
00
10
00
00
00
10
11
01
00
11
10
01
00
01
01
10
10
00
11
00
00
11
10
10
01
01
11
10
00
00
11
10
00
10
10
00
10
11
00
10
10
11
01
11
11
11
10
00
01
00
10
11
01
10
01
00
10
00
11
00
00
11
10
10
11
00
11
10
11
01
10
10
00
11
00
10
10
01
00
11
10
10
11
01
01
01
00
11
10
00
01
00
11
00
00
10
10
00
00
00
10
00
10
10
00
00
01
10
11
11
00
00
10
00
00
00
10
11
11
10
10
01
10
01
01
10
01
00
01
10
01
00
11
10
00
00
10
01
01
00
10
11
01
01
11
00
10
00
00
00
00
00
11
11
00
11
11
10
00
01
10
10
10
00
01
10
10
10
11
00
11
00
11
10
01
00
10
11
00
10
10
00
01
00
10
10
10
10
01
00
00
01
10
10
10
00
10
01
01
11
10
00
00
11
00
00
01
10
10
10
10
01
00
00
11
10
00
10
10
00
11
00
00
10
10
10
10
00
01
10
11
01
10
00
11
00
01
01
10
11
00
00
11
11
00
00
00
10
01
00
00
00
01
10
10
00
00
10
01
00
10
11
00
01
11
11
00
10
10
00
11
00
01
10
10
11
00
10
00
10
11
11
01
00
10
00
11
01
00
10
10
11
10
01
00
00
10
10
11
10
00
00
10
00
00
00
11
00
00
00
10
10
11
10
01
10
10
00
10
01
00
01
10
11
01
00
00
01
01
10
00
00
01
10
01
01
10
10
10
01
00
01
10
00
11
11
01
00
00
11
11
00
00
10
11
00
00
10
10
00
00
10
00
11
11
10
00
00
01
00
10
11
11
10
00
01
10
10
00
10
11
11
00
01
00
10
10
00
10
10
01
00
11
10
00
00
10
00
00
10
10
10
10
10
01
11
10
00
11
01
11
00
01
00
11
10
01
11
10
10
00
00
00
00
10
01
00
10
00
01
00
00
10
11
00
11
00
01
00
00
00
01
00
11
10
00
10
00
11
10
00
01
10
10
00
00
10
11
00
01
11
10
10
01
11
01
01
11
01
10
00
00
00
11
11
01
01
00
01
01
10
01
10
10
10
00
01
00
01
10
10
10
01
10
00
10
11
00
00
10
10
01
01
11
11
11
00
10
10
00
00
00
11
10
01
00
00
01
10
00
10
00
00
11
10
10
10
00
00
00
10
10
01
00
10
10
11
00
00
10
11
00
00
00
00
00
10
11
01
00
10
11
11
10
10
00
10
11
00
01
01
10
01
01
00
11
00
01
10
11
10
00
00
10
01
01
11
10
10
00
10
00
00
10
11
00
10
00
10
00
00
10
10
10
10
10
01
00
11
01
01
10
00
10
10
00
01
00
10
01
01
10
00
00
10
00
00
10
00
00
01
10
00
11
10
00
10
00
10
10
11
00
00
00
01
11
01
01
01
11
00
00
10
10
00
11
01
10
10
10
01
01
00
01
10
10
00
10
10
10
00
00
00
00
11
10
00
10
10
00
11
01
01
01
11
10
10
10
01
00
10
11
11
00
00
00
10
00
01
10
00
01
01
00
00
10
10
00
00
10
10
00
01
00
10
00
11
01
01
11
01
10
10
01
00
11
11
00
01
10
00
00
01
10
11
10
10
11
00
01
11
00
10
10
01
10
00
01
00
10
10
11
00
00
00
10
01
11
00
01
10
01
00
00
10
10
01
10
00
01
11
11
01
10
00
00
00
00
10
10
10
10
00
00
00
10
10
11
11
00
01
10
00
10
00
00
00
01
11
00
01
11
11
11
11
01
11
10
01
00
11
01
00
11
10
01
10
11
10
00
00
10
00
01
10
11
10
10
11
01
00
00
01
11
01
11
10
01
00
11
10
00
01
10
01
11
11
00
00
10
01
11
10
00
00
10
10
01
00
10
10
00
00
11
10
10
01
00
11
10
10
01
00
11
11
11
00
10
10
11
01
00
01
11
10
00
10
00
01
10
10
00
00
10
11
10
11
10
01
10
10
10
00
11
11
01
10
00
01
01
00
10
01
10
10
01
00
10
10
01
10
10
11
00
11
10
10
00
10
00
00
10
00
00
10
10
00
11
10
10
01
01
10
00
11
10
11
10
00
00
10
10
01
00
10
10
10
10
10
00
10
10
11
10
00
10
00
10
11
10
00
01
11
10
00
00
10
01
00
01
10
01
10
10
00
00
00
11
11
00
10
10
00
01
01
10
11
01
11
00
10
00
00
10
10
00
01
01
10
10
10
00
10
11
10
00
11
10
01
01
01
10
10
01
00
00
11
10
00
10
10
00
10
01
00
11
10
01
10
10
01
00
00
10
00
00
10
11
00
10
00
10
11
01
10
01
10
00
01
10
00
01
01
10
10
10
11
01
10
00
10
10
01
10
00
11
01
01
00
01
01
01
11
10
01
01
10
11
00
00
10
00
00
01
10
10
10
01
00
00
10
00
10
10
00
10
01
01
10
00
01
10
00
01
00
10
10
00
00
11
00
00
00
10
10
10
10
00
00
00
10
10
11
00
10
01
00
11
01
10
11
01
10
00
01
11
10
10
01
00
10
00
10
10
00
11
10
11
00
00
11
10
10
00
01
10
01
00
10
10
00
01
10
01
10
01
11
01
11
00
00
10
10
10
10
00
00
00
10
11
10
10
00
10
10
00
00
01
11
10
11
00
10
10
00
00
11
00
00
00
10
00
00
00
10
10
01
10
11
11
00
10
10
00
10
01
00
10
10
11
01
00
11
00
00
01
01
00
10
00
00
00
00
11
10
10
01
01
01
10
11
00
11
00
11
01
11
10
10
10
00
01
10
10
10
10
00
01
01
00
01
00
11
00
10
10
00
00
10
00
00
10
10
00
10
00
00
10
10
00
11
11
01
00
01
00
00
10
10
10
00
00
11
11
01
00
00
11
11
00
10
10
00
00
01
11
10
10
10
00
10
11
00
11
10
10
01
00
01
00
10
11
10
00
00
11
10
00
00
10
11
00
00
10
00
01
10
01
00
10
10
00
01
10
00
01
00
10
10
10
00
11
00
10
01
00
10
11
10
00
11
00
11
11
10
01
00
11
00
10
10
01
00
10
01
01
11
10
01
00
00
10
00
00
10
10
00
10
10
11
01
00
10
10
11
11
00
10
11
00
10
00
01
10
00
00
11
00
11
10
00
00
00
10
11
11
01
00
11
01
00
00
01
11
10
00
00
00
00
10
01
00
01
10
10
00
11
10
10
10
10
11
10
11
01
10
11
00
10
10
10
00
00
00
10
00
01
10
10
10
10
10
01
00
00
10
10
00
00
01
01
01
01
10
01
00
00
10
10
00
01
11
11
00
00
11
10
10
00
00
00
00
00
11
10
11
00
10
11
10
11
00
10
11
00
11
10
11
01
00
00
11
10
00
11
11
00
00
10
10
01
10
11
01
00
11
00
00
11
11
00
01
01
11
00
00
11
11
00
11
00
10
11
01
11
00
00
10
10
10
00
01
10
10
00
10
00
00
10
10
00
01
10
00
00
00
10
10
01
10
00
01
00
10
00
00
11
00
00
00
10
01
00
01
00
01
11
00
00
10
01
00
10
00
10
10
01
00
10
01
00
00
00
00
10
01
00
11
00
01
01
10
00
11
00
11
00
00
10
10
01
00
10
10
10
11
10
10
00
11
01
10
11
11
11
10
01
01
00
11
10
11
10
10
00
00
10
01
00
10
00
00
11
00
00
00
11
11
00
00
11
00
00
11
00
00
01
10
11
00
10
10
00
00
11
11
01
10
01
10
00
01
01
00
10
11
10
00
11
00
01
10
10
10
10
10
00
00
11
10
00
11
00
00
10
11
10
11
00
01
00
11
01
10
10
00
10
10
11
01
00
11
10
00
10
00
00
11
00
00
10
10
00
10
00
10
00
10
10
10
00
00
10
11
00
01
11
10
00
00
11
10
11
00
00
00
11
10
11
01
00
11
00
10
10
10
00
00
00
11
10
01
10
00
10
10
11
00
00
11
10
00
00
00
00
00
10
00
00
00
00
00
10
00
00
11
10
00
10
11
11
00
10
00
10
11
11
00
00
01
10
10
11
11
00
00
01
10
10
00
10
00
00
11
00
00
10
10
10
10
00
01
00
10
00
00
10
10
10
10
00
11
10
11
00
01
10
10
11
00
10
11
00
00
00
00
10
00
10
11
00
11
10
10
00
10
10
11
01
01
00
00
00
10
10
10
11
00
00
10
01
01
10
00
10
11
01
11
00
00
10
11
01
00
10
11
10
01
00
10
00
00
10
11
10
10
00
00
10
01
00
10
01
10
10
00
10
10
11
01
10
00
00
00
11
00
00
11
00
11
00
10
10
01
01
00
00
00
01
10
01
00
01
10
10
01
10
01
00
00
10
10
01
00
10
10
10
10
00
01
10
10
00
11
00
10
00
10
00
10
10
00
10
00
10
10
01
00
01
10
00
00
00
01
00
00
10
00
00
01
10
01
11
10
10
01
10
00
01
11
00
11
10
01
00
01
11
10
00
01
00
10
10
00
10
11
00
01
00
01
00
00
00
10
11
10
10
00
00
11
11
01
11
01
11
10
11
00
00
10
00
11
11
01
11
10
11
10
00
00
11
11
01
00
01
10
00
10
10
00
00
00
10
10
11
01
10
10
01
10
00
11
10
00
00
00
00
00
11
11
10
00
10
11
00
11
10
00
00
11
10
00
01
00
11
00
00
11
11
10
00
10
10
01
10
11
01
01
00
00
11
00
00
10
11
01
00
00
10
10
00
00
10
10
00
00
00
00
00
00
01
11
00
10
11
00
01
00
11
10
00
00
10
01
00
11
10
01
11
10
00
00
10
00
11
10
10
01
00
11
10
00
10
00
11
10
01
00
10
00
11
00
11
10
01
01
00
00
10
00
00
10
01
11
00
00
10
10
00
01
10
11
10
11
10
10
00
10
00
00
10
10
10
00
01
00
00
10
00
10
00
00
00
10
10
00
11
01
10
10
10
11
00
00
00
10
00
11
01
00
11
10
01
00
10
00
01
10
10
11
00
00
11
10
10
00
10
01
11
01
00
10
10
00
00
10
10
00
10
11
10
01
10
10
10
10
00
00
00
10
00
10
10
10
11
00
10
11
10
01
00
10
00
00
00
11
01
00
00
00
11
11
10
11
01
11
10
00
11
11
11
00
00
10
10
11
10
00
00
01
01
10
01
10
00
00
01
10
10
00
01
00
00
10
10
00
00
11
00
00
10
10
11
00
00
11
01
11
00
00
00
00
10
11
00
00
11
10
00
11
00
10
10
01
00
00
10
00
01
00
00
10
11
01
11
10
11
01
00
10
10
11
01
00
00
10
01
00
01
01
10
10
01
11
10
11
11
00
01
11
00
01
00
00
10
10
01
01
00
10
10
10
00
11
11
00
10
10
10
11
00
00
10
00
00
10
10
10
00
10
00
00
01
01
10
10
00
11
00
00
11
01
01
11
00
00
10
11
01
10
10
01
00
00
00
01
11
10
01
00
11
11
10
10
10
10
00
00
01
00
01
10
00
01
00
11
00
10
10
00
00
10
01
00
10
00
00
01
11
00
10
00
01
11
10
00
11
11
00
00
11
11
00
00
10
01
00
11
11
00
11
11
10
10
00
00
10
10
01
10
11
00
01
00
10
10
11
00
01
11
11
01
00
10
00
00
00
10
00
01
11
11
10
00
00
00
10
10
00
00
00
00
11
10
00
00
01
00
11
10
11
01
01
10
11
00
11
00
01
11
01
00
10
10
00
10
10
01
00
10
00
00
10
10
11
00
10
00
00
10
01
10
01
10
11
10
01
00
10
00
11
00
00
01
01
10
01
00
00
11
10
00
11
10
00
00
10
01
00
00
00
11
00
00
10
00
10
00
00
10
11
00
01
10
00
10
00
00
00
00
10
00
10
00
01
00
00
00
01
10
01
10
11
10
01
10
10
01
00
10
00
01
10
10
01
10
01
00
00
00
01
11
10
11
00
00
00
10
10
10
01
00
00
00
00
10
11
00
00
10
10
00
00
11
00
10
00
00
11
10
00
11
11
10
00
00
10
01
11
00
00
11
01
00
00
10
01
01
01
01
10
10
00
00
10
10
10
11
00
00
01
00
01
01
11
11
00
01
10
01
01
11
11
00
00
10
00
00
00
10
00
00
01
11
11
00
01
01
10
11
10
10
00
10
11
00
00
10
10
10
10
00
00
10
00
10
00
01
00
11
00
11
11
00
00
10
00
11
00
01
10
10
11
10
11
01
10
00
11
11
01
11
00
00
00
00
10
11
00
01
00
10
00
00
10
00
00
11
00
10
10
11
00
01
01
00
01
11
00
10
10
00
10
10
00
01
10
00
11
11
10
00
11
10
01
00
01
10
11
11
00
10
10
00
00
01
10
11
11
01
10
11
00
11
11
01
11
00
01
10
10
00
11
11
00
00
10
10
10
10
11
00
00
00
10
00
10
01
11
01
00
00
00
11
11
01
00
10
11
01
11
00
10
10
11
00
00
10
11
01
01
00
00
10
00
10
00
00
00
11
11
01
10
10
11
00
11
10
00
01
00
00
10
00
10
10
00
00
10
10
10
00
00
10
00
00
10
00
11
10
11
00
11
11
10
10
10
00
01
00
10
10
00
01
00
10
00
00
01
10
01
00
10
10
10
10
11
11
10
01
00
10
01
11
11
00
00
11
11
01
00
00
00
11
00
10
11
00
10
10
10
11
11
10
01
00
00
00
10
10
00
01
11
10
11
00
00
00
01
01
10
11
00
11
10
00
00
10
01
01
01
10
11
00
00
10
10
10
00
01
11
00
00
00
11
10
10
01
10
10
11
11
10
11
00
01
11
10
00
10
11
00
01
10
10
01
00
10
01
00
10
10
11
00
11
10
00
10
00
10
00
11
10
00
01
01
11
00
11
00
10
10
01
00
01
10
01
00
10
00
10
10
10
11
00
01
10
11
11
01
01
10
00
01
10
11
10
00
10
10
00
00
10
00
00
10
00
10
10
00
00
00
10
10
00
11
10
01
10
00
00
10
10
10
10
11
00
00
00
11
00
10
10
00
01
10
10
10
10
01
10
00
01
00
00
10
00
00
11
10
11
00
11
10
11
00
00
01
10
11
10
11
00
00
11
10
11
10
10
00
10
00
00
00
10
11
10
00
01
11
11
01
10
10
01
00
00
01
11
11
10
10
00
11
01
10
10
01
00
10
11
11
00
10
10
11
00
00
10
00
01
11
10
00
00
11
01
00
00
10
10
11
10
10
11
10
00
10
00
00
11
10
01
01
10
11
00
01
10
00
00
10
10
00
01
00
10
00
10
11
10
01
10
10
11
11
00
10
01
00
00
10
11
10
10
00
01
00
01
10
11
10
00
10
00
10
10
00
00
00
00
00
00
10
11
10
01
01
10
00
11
00
01
00
10
11
01
00
10
00
00
10
01
01
01
11
10
00
00
00
10
00
00
10
10
00
01
00
11
00
01
01
11
00
11
00
00
00
10
10
00
00
10
00
11
10
11
00
00
00
10
10
01
11
00
11
00
10
10
01
10
10
01
01
00
10
00
10
01
00
11
00
00
00
10
11
10
00
00
11
11
01
01
11
00
10
00
10
10
10
00
00
10
10
10
01
10
00
00
10
00
10
00
00
10
00
10
10
10
00
10
10
00
01
11
01
01
00
10
10
11
00
01
11
10
10
00
10
00
10
10
10
10
11
11
01
11
00
10
10
01
11
10
01
01
11
00
00
11
10
01
01
01
11
10
11
10
00
01
00
10
10
10
00
00
01
00
11
10
11
01
10
10
10
10
10
01
10
00
10
01
00
10
11
00
01
11
01
11
00
10
10
01
01
00
10
10
10
01
01
01
11
10
01
00
00
00
00
11
01
10
10
00
00
00
01
00
10
00
10
10
10
00
00
10
01
10
11
00
10
10
01
00
11
10
01
00
10
00
10
10
00
11
00
10
10
00
00
11
11
10
01
00
10
01
11
11
11
11
00
10
00
00
00
10
10
00
10
11
11
10
00
01
10
11
00
01
11
00
10
11
10
00
01
00
01
01
11
00
11
11
00
10
10
00
10
10
01
10
10
11
00
00
10
01
00
10
10
10
10
00
11
11
00
11
01
00
10
10
01
00
00
00
10
11
00
11
11
00
10
10
00
10
10
00
10
10
00
00
01
10
00
10
00
00
11
00
10
10
10
10
11
00
01
00
00
00
10
10
01
00
10
01
10
10
00
10
00
01
10
11
01
01
10
01
10
00
00
10
11
00
10
10
10
00
11
10
01
11
00
11
00
10
00
00
11
01
00
10
00
01
10
01
00
11
10
00
00
10
01
01
01
11
10
01
11
01
01
00
00
10
01
00
11
10
00
10
10
00
11
00
01
11
10
00
00
10
00
00
11
00
00
01
00
01
00
00
10
10
11
00
01
10
10
00
00
10
11
11
01
01
11
00
00
10
10
00
10
11
01
10
10
11
00
01
10
10
00
00
00
00
01
11
10
00
10
00
01
00
01
10
10
00
00
01
10
00
00
10
01
11
00
00
01
01
10
00
10
10
11
10
01
00
10
10
11
10
10
01
01
01
01
10
00
01
01
01
01
10
10
10
00
10
10
00
01
10
10
01
10
01
00
01
11
10
00
00
10
00
01
11
10
11
00
10
10
10
10
01
10
00
11
00
10
10
00
11
10
00
10
00
00
00
10
10
10
00
00
10
10
00
10
10
00
01
10
10
00
10
10
00
11
00
11
10
00
00
11
10
10
00
10
00
01
00
00
10
10
00
10
00
11
00
11
10
00
00
11
00
00
10
00
00
01
01
10
00
00
00
11
10
11
10
10
00
10
00
10
01
00
00
01
01
00
10
01
01
00
10
11
00
01
00
11
11
00
00
01
00
10
10
00
00
01
00
00
01
11
00
01
10
10
11
00
00
00
00
10
11
01
00
10
00
01
00
00
11
10
10
11
00
00
10
10
10
00
01
10
11
11
11
01
00
00
10
10
01
01
00
10
01
10
11
11
01
00
00
10
10
11
00
01
10
00
00
01
10
11
01
00
01
00
11
00
00
11
01
00
00
01
11
11
11
00
01
11
00
01
00
11
10
00
10
00
00
10
10
01
00
01
10
11
01
10
01
10
10
00
00
11
10
10
00
10
11
10
00
11
01
10
00
00
01
00
10
00
11
11
10
10
11
01
01
10
11
00
00
10
01
10
10
11
10
00
10
00
00
00
00
10
00
00
11
10
00
11
10
00
11
10
10
01
10
11
00
11
10
10
10
00
00
11
10
00
10
00
00
11
10
11
11
01
00
00
10
01
00
00
11
10
10
00
00
11
11
10
10
10
00
00
01
00
01
00
10
10
10
10
00
01
11
11
10
00
00
01
00
01
10
10
00
10
01
00
10
10
10
10
00
00
11
01
10
01
01
01
01
11
00
00
10
10
00
00
10
11
01
11
01
11
11
11
01
00
01
01
01
11
11
10
11
10
00
01
10
01
10
00
11
00
10
10
01
00
10
10
00
00
10
11
11
01
11
01
10
01
10
10
00
01
00
11
10
00
10
10
01
00
00
11
10
00
01
10
10
11
10
00
10
00
00
11
00
01
10
10
00
00
10
00
01
11
10
00
10
00
01
10
00
00
10
10
10
01
10
10
10
00
01
00
10
10
10
00
00
01
01
00
11
10
00
00
11
10
11
00
00
10
11
10
00
10
10
00
11
00
00
00
10
00
01
10
11
00
10
01
10
10
00
01
00
00
00
10
10
00
10
00
10
00
10
00
11
11
10
10
00
01
00
01
01
10
10
00
10
10
00
00
10
00
11
10
00
01
11
11
10
10
01
10
10
00
00
11
10
00
01
10
11
00
10
10
10
10
01
10
11
01
10
00
00
10
10
10
00
00
01
00
01
10
10
00
00
10
10
00
01
00
10
00
00
11
01
10
10
11
11
11
10
00
01
10
11
00
00
11
01
11
11
01
11
00
11
10
01
00
11
01
01
00
10
00
01
10
01
00
11
00
00
01
01
00
11
00
01
01
11
10
11
10
01
00
10
00
10
11
10
11
10
00
01
10
10
01
00
10
00
11
10
00
01
01
10
10
01
00
10
10
00
00
11
00
00
01
00
10
10
10
00
10
00
00
01
10
10
10
00
00
10
10
00
00
10
10
10
00
10
11
00
00
10
10
10
10
01
11
00
00
11
01
00
01
10
10
10
00
01
10
11
00
00
00
10
01
01
10
10
00
10
10
00
01
10
00
10
00
01
00
11
10
00
10
10
00
10
11
00
10
00
00
01
11
00
11
01
11
10
00
00
11
11
00
00
11
10
10
01
10
00
00
00
00
01
11
11
11
11
10
00
10
00
00
10
11
11
11
01
00
10
01
00
01
00
10
10
01
10
11
00
01
01
11
10
11
11
00
00
11
10
11
10
00
10
11
01
10
10
01
10
11
00
00
11
00
00
11
00
00
10
11
11
00
10
10
00
10
10
10
00
11
10
10
00
01
00
10
10
00
01
00
10
00
10
11
10
11
00
00
01
11
01
10
10
00
11
11
11
00
00
11
10
10
10
00
00
00
11
00
00
01
11
00
11
10
01
01
11
11
00
10
11
01
10
10
01
01
00
10
00
11
10
00
00
01
10
10
01
00
01
01
00
10
10
00
10
10
00
10
10
00
00
00
00
00
10
10
10
11
10
10
11
01
11
10
01
00
10
10
10
00
01
00
10
10
11
10
00
00
10
11
10
10
10
00
00
10
01
01
11
10
11
01
11
10
10
11
00
10
11
01
11
00
00
10
11
00
00
00
10
11
10
10
01
00
10
10
10
01
10
10
11
10
01
10
11
00
01
11
10
11
01
11
00
10
10
01
00
11
11
00
00
01
00
00
10
10
00
00
11
10
00
00
11
10
10
10
11
10
01
10
10
00
00
00
00
10
10
01
01
10
01
10
10
00
10
11
10
01
10
00
00
11
10
01
10
11
00
11
10
01
11
11
00
01
00
10
11
01
00
11
11
00
00
10
11
00
00
00
10
00
10
10
00
11
10
10
10
10
00
00
00
00
11
00
00
10
10
00
00
10
10
01
00
00
00
00
11
10
00
10
10
10
00
11
11
00
01
10
11
00
10
10
01
00
10
00
00
00
11
11
00
01
10
01
10
00
10
00
01
10
10
01
01
11
01
00
10
10
11
10
00
00
10
00
01
00
00
00
11
10
11
00
10
10
00
00
11
01
01
10
10
00
10
11
00
01
10
11
10
10
00
00
10
10
01
01
00
10
00
00
11
11
10
00
00
10
00
10
11
00
00
10
01
00
00
10
11
01
00
11
11
00
00
10
10
10
11
01
00
11
10
00
01
10
10
00
00
10
01
00
10
00
01
00
00
00
10
11
00
00
01
10
10
10
11
11
11
00
10
00
00
00
11
00
00
10
10
00
01
10
10
10
11
10
00
00
01
00
11
01
00
10
01
00
00
01
10
10
00
00
10
01
00
00
00
11
01
00
00
10
00
00
00
01
10
00
10
00
11
00
11
10
11
10
10
00
01
00
10
10
01
00
01
01
10
10
00
01
10
11
01
00
00
10
01
11
00
00
10
00
01
00
01
10
10
01
10
11
01
00
10
00
01
10
00
01
00
11
00
00
11
00
10
00
10
10
10
00
01
10
01
11
10
11
01
10
10
10
00
10
01
00
10
01
00
10
01
11
11
00
10
10
10
10
01
00
10
10
11
10
00
10
10
00
11
10
11
00
10
11
10
00
01
00
10
01
00
11
00
01
00
11
00
00
00
10
00
10
10
00
11
10
01
00
11
00
10
11
00
00
10
00
01
01
10
10
00
00
10
10
11
10
10
00
01
01
10
01
00
10
11
10
00
00
11
10
10
10
10
10
10
00
00
10
10
01
11
00
10
10
01
01
10
11
00
11
01
00
10
00
00
10
10
01
01
00
11
00
00
10
01
11
10
00
01
01
10
01
00
00
10
00
10
10
01
00
00
11
00
11
00
11
10
10
00
01
11
00
00
10
10
10
10
00
00
11
11
00
11
01
11
11
00
00
10
10
00
10
10
11
00
01
10
00
11
00
11
01
10
10
00
01
11
10
00
10
10
11
10
11
10
10
00
11
10
00
10
10
10
01
00
00
00
01
01
10
10
10
10
00
01
10
10
10
00
00
10
11
10
01
10
01
11
10
00
11
00
10
11
00
01
10
11
00
00
11
11
11
11
10
01
00
01
11
10
10
00
00
10
00
00
11
00
10
11
00
10
00
11
10
00
10
10
10
11
00
00
10
11
10
10
11
01
00
00
01
00
00
10
10
10
00
01
01
00
10
10
10
00
10
10
11
00
00
01
00
00
10
11
00
11
00
01
11
10
10
00
00
10
00
00
10
11
00
10
01
11
11
00
11
11
11
10
10
00
01
01
01
11
10
00
00
01
11
10
11
00
01
10
01
10
00
10
11
01
10
00
01
00
00
00
10
00
11
00
00
01
00
11
10
00
11
10
00
10
11
10
01
00
00
11
00
00
11
11
11
11
00
11
00
10
10
00
00
10
00
00
00
00
01
10
11
10
00
00
00
00
11
01
10
10
00
00
00
10
00
00
10
11
10
11
10
00
01
01
10
00
00
10
00
01
11
11
10
10
10
00
00
11
10
01
01
00
00
00
01
11
10
00
01
01
10
10
11
11
00
11
11
00
11
11
00
10
10
00
11
00
00
10
11
00
00
00
10
10
00
00
00
00
11
10
10
01
00
11
01
10
10
11
10
01
00
11
00
01
00
10
10
01
10
11
10
00
11
00
11
10
00
00
01
01
11
10
00
10
10
00
10
10
10
11
11
00
11
11
01
11
10
10
00
11
10
01
00
11
11
00
00
00
11
10
10
00
00
10
10
11
01
00
00
10
00
01
00
00
00
10
10
00
01
10
10
00
00
10
00
11
10
01
01
01
10
10
00
10
11
11
00
00
10
11
10
01
00
10
10
01
00
00
11
10
10
11
10
10
10
00
00
00
00
11
00
10
00
00
00
00
01
10
11
10
01
10
10
00
11
11
00
11
10
10
10
00
00
10
00
01
01
00
10
00
00
11
10
00
10
00
01
10
10
10
00
10
01
11
00
00
01
11
01
01
10
10
10
00
01
10
10
00
00
00
10
10
00
10
00
00
10
10
10
00
00
00
00
10
10
10
10
11
11
00
00
01
00
11
10
01
00
01
10
11
01
00
01
10
00
10
11
01
11
00
00
11
00
01
10
10
10
10
00
01
10
10
10
00
00
00
00
11
00
01
11
10
10
00
01
10
01
01
11
10
10
10
10
01
01
11
11
00
00
11
11
01
00
10
01
11
01
00
10
10
11
10
00
01
00
00
10
11
10
00
00
00
10
10
11
10
11
00
00
00
11
10
00
11
10
10
00
00
11
00
00
10
11
10
00
00
00
11
10
00
10
01
01
10
10
00
00
11
11
11
00
00
01
01
00
00
11
11
00
01
10
11
00
10
11
10
00
00
00
10
01
11
11
10
11
10
00
01
10
00
00
10
00
01
11
10
10
10
00
10
10
01
10
10
00
10
01
01
00
10
10
10
11
10
00
10
10
00
10
01
11
01
10
10
00
01
00
01
10
10
01
01
00
10
10
01
10
00
10
00
11
10
00
11
00
01
00
01
00
10
10
01
00
10
00
00
10
00
10
01
00
11
00
11
01
10
10
11
11
01
00
10
00
01
01
11
11
00
10
01
01
01
11
10
10
00
11
00
00
10
11
00
11
00
00
00
00
11
00
01
10
11
00
00
10
00
10
11
00
01
00
01
00
11
10
10
01
10
01
00
00
10
10
10
01
00
10
00
10
10
10
11
10
00
00
10
10
00
10
11
10
01
10
00
10
10
00
11
00
00
00
00
10
10
10
10
10
00
11
00
10
00
01
01
11
10
01
10
10
01
10
00
00
11
10
00
01
00
00
10
01
00
01
11
00
00
10
00
10
11
01
10
00
00
10
10
11
01
00
00
10
10
11
01
00
00
01
10
10
00
10
10
00
00
10
00
00
11
00
00
10
00
10
01
01
00
00
01
10
11
01
10
00
11
10
01
00
01
00
00
00
00
00
10
10
10
11
00
00
00
11
00
10
00
10
11
01
01
10
00
00
10
00
00
00
11
10
10
01
10
10
10
01
00
10
00
01
10
10
01
10
00
01
10
00
11
00
10
00
00
10
01
11
01
00
00
10
00
01
10
00
00
10
10
10
00
01
10
11
00
00
10
00
00
00
00
11
10
11
10
10
10
10
10
11
10
01
10
01
01
11
10
00
01
10
01
00
10
01
11
11
01
01
01
10
00
10
10
10
00
00
10
10
11
00
00
10
00
10
00
10
10
10
10
10
10
00
00
10
01
00
00
10
10
00
00
10
00
00
00
00
11
01
11
01
10
10
11
11
10
00
00
11
11
10
11
01
10
10
00
00
00
11
10
10
10
10
10
00
00
10
10
00
01
10
01
01
00
00
11
10
00
10
00
00
10
11
11
11
00
00
01
00
01
01
01
11
10
10
00
10
00
00
11
10
10
10
10
00
10
01
11
00
00
10
10
11
00
00
11
11
10
11
11
10
01
10
10
00
00
00
11
00
00
01
10
10
11
01
10
01
10
01
11
10
00
00
10
11
10
11
10
10
00
00
00
00
01
10
10
10
10
01
00
00
10
01
00
10
00
11
01
10
01
00
11
00
00
11
10
00
10
10
01
10
11
00
00
11
01
00
00
10
10
00
00
10
11
10
01
10
10
01
00
00
01
10
00
00
00
10
11
00
10
00
11
00
10
00
00
00
11
11
11
10
11
01
00
00
11
10
01
10
11
10
00
10
00
00
11
01
00
11
01
00
10
11
10
00
01
10
00
11
10
00
01
01
10
10
01
11
11
00
11
00
10
01
10
11
00
00
10
10
11
00
00
10
00
01
01
10
10
10
01
00
11
00
00
01
00
00
10
10
01
00
10
01
01
11
01
11
01
11
00
00
10
01
01
10
10
01
00
00
11
10
00
10
00
01
00
10
10
01
00
00
00
10
00
11
10
11
01
00
00
11
01
00
10
11
10
10
11
00
00
11
11
11
10
01
11
00
01
10
00
10
11
01
00
01
10
00
10
10
01
01
10
10
11
01
10
11
01
00
10
10
10
10
11
01
01
10
10
10
00
10
11
00
00
00
10
10
10
10
10
11
01
11
10
11
10
11
00
00
11
10
01
00
10
11
10
00
00
11
11
01
11
11
10
10
00
10
10
00
01
10
11
00
00
01
10
00
11
01
00
00
10
10
10
00
01
11
10
01
00
10
10
01
10
01
00
10
00
00
00
10
11
00
10
10
11
00
01
01
11
11
10
10
11
11
01
00
11
10
01
10
00
00
10
00
11
00
01
01
00
00
11
11
00
11
11
11
01
00
10
10
00
00
01
00
10
01
00
10
10
11
00
10
01
00
11
00
10
11
00
00
10
00
01
10
10
01
11
00
10
00
00
00
11
10
00
00
00
00
00
00
10
00
10
00
10
00
00
10
10
00
10
11
00
00
10
10
11
00
11
10
01
01
11
00
11
10
01
00
10
01
00
10
10
00
00
01
00
00
00
00
10
11
00
01
11
10
10
10
00
00
10
10
10
01
10
11
00
00
10
11
01
11
10
00
10
00
00
01
00
10
01
10
10
00
01
10
11
10
01
00
11
00
00
10
01
00
00
00
11
00
10
00
10
10
00
00
01
00
10
00
10
11
10
00
10
10
01
10
00
11
10
01
10
00
00
11
10
10
10
01
00
00
01
00
01
10
00
00
00
10
10
11
01
00
11
11
00
00
00
01
10
10
00
10
10
01
00
10
11
00
11
11
00
11
10
11
00
10
00
01
00
01
01
11
10
01
10
10
01
00
10
10
11
10
00
00
10
00
00
00
10
00
00
00
11
00
10
11
01
10
10
10
01
10
10
00
00
11
00
00
10
11
00
00
00
10
11
10
00
00
01
10
01
01
10
10
11
00
10
10
00
10
10
11
10
01
11
10
00
10
11
10
00
00
11
11
11
10
00
00
10
00
10
00
00
00
10
01
10
11
10
11
00
00
11
10
11
11
11
00
00
11
10
01
00
00
10
10
10
10
10
00
11
00
10
10
10
11
00
11
00
11
10
01
11
10
00
01
00
10
00
00
10
10
10
00
00
00
01
10
00
01
00
11
10
10
00
00
10
00
01
11
10
11
00
01
00
11
00
00
10
10
00
00
10
10
10
10
10
11
11
00
00
00
10
11
01
10
00
10
01
00
10
00
10
00
01
10
01
11
00
10
01
10
10
00
00
00
00
01
11
10
00
00
10
00
10
01
00
00
00
10
01
00
00
11
10
01
01
00
11
00
00
10
10
01
00
00
10
11
00
11
01
00
00
11
00
11
10
01
11
00
00
00
00
11
10
11
11
00
01
10
00
10
10
00
01
00
01
11
11
10
10
00
11
11
10
00
10
10
10
11
00
00
00
01
00
10
10
00
00
11
10
10
00
01
00
11
00
00
00
10
00
00
10
10
01
01
10
00
11
10
11
10
01
00
01
10
10
10
00
10
10
11
10
00
01
10
10
00
00
10
00
00
00
01
10
10
00
10
11
11
11
10
01
10
10
00
00
01
11
00
01
11
10
10
00
11
10
01
10
01
10
10
00
10
10
00
11
01
10
10
10
10
00
10
00
00
01
01
00
11
00
01
11
11
00
00
01
10
11
00
10
00
01
10
11
10
00
01
00
01
10
01
00
00
10
10
01
10
11
01
00
10
11
11
00
00
00
10
10
11
10
00
10
10
10
11
10
00
11
00
10
00
00
10
00
00
11
00
00
01
10
11
00
11
00
11
10
00
10
01
00
11
01
00
11
11
00
11
10
01
10
11
01
00
00
10
10
01
10
10
00
10
10
11
10
01
00
10
10
11
11
11
01
00
01
00
01
00
00
11
10
00
10
01
00
01
10
01
10
10
00
10
01
01
10
10
00
10
00
01
10
10
00
00
10
10
10
00
10
10
11
01
11
00
00
10
10
00
01
01
10
00
00
00
00
01
00
11
11
10
01
10
10
01
10
10
10
00
01
10
00
01
01
10
01
00
00
11
10
01
00
10
00
01
11
11
00
00
10
10
00
00
11
10
11
00
00
11
10
00
01
01
11
10
10
01
10
00
11
01
00
00
10
10
00
00
00
01
10
10
10
01
10
00
11
01
11
00
11
00
00
10
01
00
10
10
00
10
10
11
10
00
01
10
00
10
11
00
00
11
11
00
00
00
00
11
01
10
10
00
10
01
10
11
01
00
11
00
00
11
10
00
10
01
00
01
11
10
11
00
01
11
01
10
10
01
01
00
10
00
10
11
00
10
01
01
10
00
01
10
00
00
11
11
00
10
00
01
10
01
00
01
10
10
11
10
11
00
00
01
00
10
10
00
00
00
00
10
11
00
01
01
00
00
10
00
10
10
01
10
01
10
10
00
01
10
10
11
00
01
10
11
00
01
11
10
01
00
11
11
00
01
11
10
00
01
10
00
00
10
10
00
00
10
10
00
00
11
10
00
10
01
10
10
01
10
00
00
10
11
11
00
00
00
10
01
00
00
10
11
00
00
00
00
10
00
11
10
10
01
00
10
10
00
00
11
01
10
10
00
10
11
10
00
00
11
01
10
10
00
10
00
00
00
00
10
00
01
10
10
00
01
00
00
10
11
00
00
00
10
00
01
00
10
01
00
11
00
11
11
01
00
10
11
01
00
11
10
00
01
11
00
10
10
01
00
00
10
00
00
00
10
10
11
10
01
01
00
00
00
00
00
10
10
00
11
00
00
10
10
10
00
10
10
10
01
10
11
01
00
10
10
00
10
11
01
01
11
00
10
00
01
11
10
11
00
00
11
00
01
01
10
11
01
01
10
10
00
00
00
11
11
11
10
11
00
10
01
00
00
11
01
11
11
00
01
00
01
01
00
11
10
10
01
00
11
11
00
01
00
11
00
01
10
11
10
00
00
10
00
01
00
10
10
00
10
10
00
10
10
00
01
10
10
00
00
00
11
10
10
00
00
10
00
00
00
10
00
00
10
00
11
10
11
00
10
10
10
11
00
01
00
10
10
00
11
10
10
00
01
10
10
00
10
10
00
01
00
10
11
00
01
10
01
10
10
10
00
10
01
00
10
10
10
10
10
00
01
11
10
01
00
11
00
00
10
10
00
01
01
10
10
00
00
11
00
00
10
10
01
11
11
00
00
10
10
00
01
10
10
01
11
11
00
10
00
10
10
00
10
10
00
01
00
01
00
10
01
11
00
10
00
01
10
11
01
01
11
01
11
00
00
10
00
10
10
01
00
11
10
00
00
01
01
11
10
00
10
10
01
01
10
10
10
10
10
10
10
00
10
10
00
11
11
10
00
10
11
11
11
00
00
11
10
10
10
10
11
10
11
10
00
01
10
00
01
01
10
00
00
01
00
10
01
10
00
00
10
11
00
00
11
11
00
10
10
01
00
00
00
01
10
10
00
10
00
00
00
10
10
10
11
00
00
10
00
00
00
10
11
11
01
01
01
10
11
10
00
01
11
11
10
10
00
11
01
01
11
10
01
10
00
10
00
10
11
10
01
00
00
10
10
00
10
01
00
00
10
00
00
10
10
10
11
01
10
00
10
01
10
00
00
01
01
10
11
00
11
11
01
00
10
10
01
00
11
01
10
11
10
00
11
11
01
10
10
00
00
00
11
11
00
00
10
11
10
00
01
10
00
11
10
00
00
10
10
10
10
00
01
00
10
10
11
00
00
00
10
10
01
11
11
01
00
10
10
00
10
10
01
00
00
10
10
01
01
00
10
10
00
00
10
00
10
01
10
10
11
11
00
01
00
00
00
00
01
11
00
01
00
10
00
10
11
00
00
10
00
00
01
11
11
10
10
11
00
01
10
00
00
11
10
00
10
10
01
00
01
10
10
10
01
01
10
00
00
10
11
11
00
10
11
00
00
00
10
00
00
10
10
00
00
01
10
10
10
10
00
10
01
00
11
00
01
10
00
10
11
00
11
00
01
10
11
10
00
00
10
00
00
01
11
10
00
00
00
10
11
00
00
01
00
11
00
10
10
00
00
00
10
11
01
10
11
10
00
11
01
00
10
01
10
01
10
00
00
10
01
10
10
01
11
01
10
00
10
11
10
00
11
10
10
00
11
10
11
00
00
10
00
00
10
00
00
01
10
11
01
00
00
10
10
00
00
10
11
00
01
01
11
10
00
10
00
10
10
00
00
10
01
10
01
11
11
01
10
01
10
11
00
01
10
01
01
11
10
00
10
00
00
10
00
10
11
11
10
00
00
00
10
11
11
01
00
10
11
10
00
01
10
10
00
10
10
00
11
10
10
00
11
11
00
00
00
00
10
00
10
00
11
00
00
00
11
01
00
10
10
01
00
11
00
10
00
00
10
10
11
01
00
11
10
11
10
11
00
10
00
10
00
00
00
11
01
11
11
10
00
11
01
00
00
00
00
11
01
11
10
00
01
10
00
00
10
10
01
00
01
11
11
10
00
10
01
00
10
10
01
00
10
00
11
10
00
01
00
11
01
10
10
00
10
10
00
00
00
10
10
00
00
10
10
01
00
11
00
00
11
00
10
01
00
10
00
01
10
10
00
00
11
10
00
00
10
10
01
00
00
10
10
01
00
11
10
00
00
10
10
01
00
10
11
00
00
01
00
10
10
00
10
10
10
01
00
01
10
10
00
00
10
00
00
10
11
10
10
00
10
10
11
10
01
00
10
00
11
10
01
00
10
10
10
00
10
11
01
00
10
00
10
11
00
11
00
01
10
10
10
00
01
00
01
10
00
10
00
11
10
00
11
01
11
01
00
01
01
10
11
10
01
00
00
11
00
00
00
10
10
11
00
00
11
11
10
10
01
00
00
10
01
10
00
10
11
00
11
00
00
10
00
10
10
00
10
10
00
00
00
00
10
01
00
00
10
10
10
11
01
00
00
11
00
00
11
10
10
10
00
00
10
00
01
00
01
10
11
10
10
00
10
10
00
10
10
10
11
01
00
00
11
10
10
10
00
10
10
00
11
01
01
10
10
00
10
10
00
10
00
10
11
11
10
00
00
00
01
01
11
10
11
01
00
00
10
11
00
01
11
11
01
11
11
01
01
10
01
00
11
10
01
00
11
00
10
10
00
10
01
01
11
11
01
00
10
10
10
00
10
10
00
01
10
01
00
00
10
10
11
00
01
10
10
10
10
01
10
10
01
01
10
01
10
00
10
10
00
11
10
10
00
00
11
00
01
00
00
11
10
01
10
01
00
00
10
00
01
01
00
10
10
10
00
11
11
00
01
00
11
10
10
00
01
10
10
00
10
10
00
11
10
10
00
00
10
00
00
10
11
01
10
01
00
11
10
01
00
11
00
00
11
10
00
11
11
00
10
10
00
01
10
00
10
00
10
11
00
00
00
00
10
10
10
01
01
10
01
11
11
01
10
10
11
11
00
11
10
01
00
10
01
00
10
00
01
10
10
11
00
00
00
10
10
11
10
01
01
10
00
10
00
10
00
10
10
11
10
01
01
10
00
10
11
00
10
10
10
00
00
10
10
10
00
01
10
10
00
10
10
00
01
00
10
10
10
11
00
00
10
00
10
10
00
10
10
00
00
00
01
00
10
01
00
00
00
00
10
10
01
11
00
00
11
00
00
10
00
10
10
01
00
10
00
01
00
11
11
01
11
10
11
01
10
11
00
00
00
10
10
01
00
10
00
01
00
00
10
00
00
01
10
00
10
01
00
11
00
10
10
11
00
00
00
01
00
11
00
01
10
11
10
10
11
00
11
11
01
00
01
00
10
10
10
00
00
00
11
10
00
10
00
10
11
00
01
10
10
10
01
10
10
00
00
00
01
10
10
10
11
01
11
01
01
10
10
00
01
10
10
00
00
11
11
01
00
10
10
10
00
10
01
01
10
10
00
11
01
11
00
11
11
01
00
10
01
11
00
01
01
11
10
01
10
00
10
00
01
10
10
01
10
10
11
10
10
00
01
00
10
01
10
11
10
10
00
00
10
10
00
00
00
10
00
01
11
00
10
11
10
10
10
10
01
10
11
00
01
10
10
10
01
01
11
11
10
00
11
10
00
00
10
11
10
01
10
10
10
00
10
00
01
00
10
01
01
10
10
00
01
00
01
10
10
00
10
10
10
00
00
00
00
10
11
00
10
00
10
11
00
10
11
00
01
11
01
11
11
10
00
01
11
11
00
00
10
00
00
10
00
00
00
11
10
00
01
10
01
11
10
10
11
00
11
00
00
00
00
10
10
10
01
10
00
10
11
11
00
00
01
11
01
10
10
11
00
11
01
00
10
01
10
01
10
11
10
10
10
00
00
01
00
10
00
01
11
10
00
00
01
00
01
10
10
01
00
11
10
11
00
10
00
11
10
01
00
01
01
10
10
00
00
01
11
10
00
01
11
01
00
00
10
00
01
10
11
00
01
10
00
10
11
10
00
01
11
00
00
10
00
01
10
10
10
11
10
11
01
00
00
00
00
01
10
10
00
11
00
10
10
01
01
00
00
00
10
10
10
11
01
01
11
01
01
11
11
10
10
00
01
10
00
01
10
11
10
11
10
00
10
00
10
10
11
00
11
10
00
10
00
10
11
11
00
10
10
00
11
10
00
10
10
01
00
10
10
01
01
00
11
10
00
10
00
01
10
11
00
11
11
10
11
01
01
11
01
10
10
10
00
10
10
01
00
00
10
01
11
01
00
00
10
11
00
10
10
01
00
10
00
11
11
10
00
10
10
00
00
10
00
10
10
11
01
01
01
10
10
01
01
01
11
11
00
11
00
00
10
11
00
01
10
10
01
00
00
11
10
11
00
00
00
11
10
01
00
11
00
10
10
00
00
10
11
00
11
10
10
10
00
00
10
00
00
10
10
10
00
01
00
11
10
10
10
10
01
01
00
11
11
00
10
00
01
00
11
10
10
00
10
10
01
00
11
10
11
00
01
01
00
10
10
01
01
11
10
00
00
10
11
10
00
00
10
10
10
11
11
01
10
11
11
00
00
00
10
01
10
10
00
01
00
10
10
00
00
11
11
00
00
00
11
11
10
11
01
10
00
11
11
00
10
10
00
11
11
01
00
10
00
00
01
10
10
00
01
11
10
01
00
00
00
00
10
10
00
01
11
11
10
11
11
00
01
10
10
00
00
00
10
11
01
11
11
01
01
10
10
00
11
11
00
11
10
01
01
01
11
00
10
11
01
00
01
00
10
10
10
11
10
01
01
00
00
01
00
10
11
10
00
01
10
11
00
01
00
01
10
10
00
01
00
10
00
01
00
10
10
00
00
11
10
00
11
11
00
10
11
10
11
00
01
01
10
11
11
10
11
10
00
00
00
10
10
00
00
00
10
01
00
10
00
00
10
01
00
10
00
00
10
10
10
01
10
10
10
10
10
10
00
01
10
10
00
01
11
11
00
00
10
01
10
11
00
00
00
00
11
11
01
00
10
00
00
10
00
11
10
01
11
10
11
00
00
10
10
00
01
00
10
10
00
10
00
10
10
00
00
00
01
10
00
10
01
10
11
00
10
01
11
11
11
01
01
01
00
01
00
10
11
00
00
10
11
10
10
00
00
10
10
10
01
10
10
00
01
10
11
00
11
00
01
00
10
00
00
00
10
00
01
11
01
10
01
11
11
01
11
11
01
00
00
01
00
10
10
10
00
00
10
01
10
00
11
10
00
11
10
10
10
00
00
10
00
00
11
10
00
00
11
11
01
00
10
00
10
10
00
00
10
10
10
00
11
01
00
01
11
01
10
11
01
00
11
10
11
01
01
11
10
10
00
00
10
10
00
00
00
10
10
10
00
10
11
00
10
10
11
10
11
11
00
00
00
10
11
10
00
01
10
11
01
00
00
11
01
00
10
11
10
10
10
00
10
10
11
00
01
10
11
00
11
11
00
10
10
10
11
11
00
00
00
10
01
11
10
11
00
01
00
01
00
10
00
01
11
10
01
00
11
10
10
00
10
11
11
10
01
00
00
00
00
10
00
00
10
00
11
10
00
11
01
00
11
10
00
10
11
10
00
10
10
10
10
10
00
10
10
00
10
10
01
10
01
00
11
10
11
11
01
00
00
10
10
00
00
10
01
10
01
01
00
10
00
10
01
00
11
00
00
01
10
11
11
01
11
11
00
01
10
10
00
00
10
11
10
10
11
10
11
00
00
01
10
10
10
10
00
10
10
00
00
00
00
10
10
11
00
11
00
00
01
00
10
00
00
10
01
01
10
00
00
11
00
10
11
11
00
00
10
00
00
10
10
00
01
00
11
00
01
00
01
11
10
11
00
00
11
11
01
01
00
10
11
00
00
10
10
01
00
00
10
11
00
00
10
10
00
10
10
01
00
10
00
01
00
10
11
01
01
00
00
01
00
10
10
00
00
10
11
10
10
01
00
11
11
10
00
10
01
01
00
10
11
00
10
00
00
11
00
10
00
00
10
10
10
00
10
11
10
01
00
10
10
11
11
01
00
10
11
10
10
10
10
00
00
11
01
00
10
10
11
00
11
00
00
10
00
10
10
01
01
10
10
00
00
10
10
10
01
00
10
01
00
10
10
01
10
11
00
00
10
01
00
00
10
01
01
10
11
11
00
00
11
10
11
00
01
10
00
11
10
11
10
01
00
11
10
00
11
10
10
01
10
10
01
01
00
00
10
11
00
00
10
00
00
11
00
01
00
10
10
00
11
01
10
01
01
10
00
10
11
10
11
00
00
01
10
11
10
10
01
00
00
01
00
10
10
11
00
10
00
11
00
11
10
00
11
01
11
01
01
10
11
11
10
01
10
10
00
10
11
00
10
10
10
00
11
10
00
11
00
10
00
00
11
10
00
00
10
10
00
00
00
10
00
00
10
00
01
10
10
10
10
11
00
01
11
11
00
10
00
10
00
00
10
01
00
01
10
00
10
11
00
10
01
10
00
01
00
01
10
11
11
00
10
11
00
00
10
10
00
00
00
10
10
10
10
10
00
00
10
11
00
10
10
10
00
00
01
10
11
01
00
00
10
00
00
10
10
10
10
00
00
00
00
11
01
00
10
00
00
10
11
01
00
01
10
11
01
11
11
10
10
00
01
00
10
10
01
01
10
00
10
00
01
10
10
00
10
10
11
01
01
10
11
10
10
11
00
00
11
11
00
11
11
10
10
00
01
10
01
00
10
11
10
00
10
01
00
10
10
10
00
10
10
00
00
01
01
10
11
01
01
10
11
01
11
00
00
10
10
00
01
11
00
10
01
00
10
00
00
00
01
10
01
10
10
00
00
00
10
10
10
01
00
00
11
00
00
10
10
10
11
00
10
10
00
10
10
00
00
10
00
00
00
10
10
10
00
00
10
00
01
00
00
10
10
10
10
10
10
00
00
11
00
00
11
01
01
11
10
00
10
01
11
11
00
01
10
10
01
10
00
10
10
00
11
11
11
11
01
00
00
11
00
01
11
11
00
10
10
11
00
11
00
01
00
00
10
11
01
10
00
00
10
11
10
10
00
10
01
01
10
10
10
01
10
00
00
01
10
11
11
11
01
10
10
10
11
01
01
10
10
11
11
11
10
00
00
10
10
00
11
00
11
00
10
10
01
10
11
01
00
10
00
10
10
10
01
00
01
00
00
11
10
10
10
00
10
01
01
00
01
01
00
00
00
10
10
10
00
01
10
10
10
00
11
01
00
10
10
10
00
10
11
01
10
11
10
10
00
00
10
11
11
00
10
00
00
01
00
10
10
00
00
10
01
01
00
10
10
10
10
11
01
01
00
11
01
11
11
00
01
11
11
10
11
00
01
10
10
00
00
00
10
11
00
10
11
10
01
11
10
10
00
00
11
11
00
00
00
10
00
10
11
01
01
00
00
11
10
01
00
10
10
10
10
00
01
10
00
10
01
00
00
00
01
00
11
00
00
10
11
10
01
00
11
00
00
01
10
10
00
11
01
01
10
10
00
10
10
00
10
01
11
11
00
10
11
00
11
10
00
01
10
01
10
00
11
10
10
10
00
00
10
10
11
01
11
10
00
10
10
00
11
00
00
11
10
10
00
01
00
00
10
11
11
00
01
00
10
00
11
00
10
10
00
01
01
00
10
01
00
10
11
10
10
00
00
01
00
11
00
00
01
10
11
10
11
00
01
00
10
00
00
00
10
01
00
01
10
01
11
11
10
10
00
01
00
01
10
11
10
00
10
00
01
01
10
10
00
00
11
00
00
10
00
10
00
10
10
00
00
10
10
11
00
10
01
10
01
00
10
11
00
00
01
10
10
10
00
00
00
11
00
00
10
00
01
00
01
11
00
10
11
11
10
11
00
00
01
01
10
00
10
00
00
00
11
10
10
11
00
10
01
11
00
00
10
00
11
10
10
11
00
01
00
00
11
01
01
00
11
11
11
01
00
10
10
00
00
00
10
00
10
11
00
00
10
01
01
10
10
10
10
10
01
10
10
00
00
10
00
00
10
01
00
00
10
00
10
11
10
01
00
11
10
10
00
10
01
10
11
00
00
00
01
10
00
01
11
00
11
01
10
10
01
01
10
11
00
01
10
10
01
00
01
11
10
00
00
11
10
11
00
10
10
01
00
10
10
00
01
00
00
00
00
00
10
00
10
00
01
01
01
10
10
01
01
00
01
00
11
10
00
01
11
11
10
00
10
10
00
00
10
11
01
00
00
00
00
10
00
00
10
10
10
10
01
00
11
01
01
10
10
10
00
11
11
01
11
11
10
01
10
00
00
11
10
00
00
10
00
01
01
10
11
10
10
00
00
11
10
00
10
11
00
01
11
01
00
11
00
10
10
01
00
00
00
01
10
01
00
10
00
11
00
01
11
11
10
10
00
11
10
00
11
00
00
00
00
00
10
10
10
10
10
00
11
10
11
00
00
11
01
00
10
00
00
00
01
11
11
00
00
11
01
11
10
01
00
00
10
10
11
01
00
11
00
00
00
10
11
10
01
00
11
01
11
10
10
00
10
10
01
11
10
11
00
10
11
11
11
11
11
00
01
11
10
10
11
00
01
00
10
11
01
00
00
00
10
10
10
00
00
00
10
10
11
00
11
01
00
10
00
11
01
10
11
00
10
00
00
01
00
00
10
11
11
10
00
10
00
00
10
10
00
00
10
10
10
01
10
10
01
10
10
10
00
00
00
10
00
11
10
10
00
01
01
01
01
10
10
00
11
00
00
11
11
00
01
11
01
00
00
10
00
01
11
10
00
01
10
00
00
01
10
10
10
00
00
10
01
01
01
10
10
01
10
11
00
01
10
01
11
00
10
11
00
00
10
10
10
00
11
00
01
10
00
10
11
10
00
01
10
11
11
11
01
01
11
01
10
11
01
00
10
00
00
10
10
10
00
01
10
01
10
00
10
10
01
11
10
01
11
10
01
10
01
00
11
00
00
10
00
00
10
11
01
00
10
11
01
10
10
10
00
00
00
00
10
11
00
11
01
00
00
10
00
00
00
11
01
00
10
10
10
10
00
00
10
11
00
11
10
10
00
00
10
10
01
00
11
00
00
00
10
00
00
01
10
11
00
00
00
00
11
11
00
00
10
11
01
10
00
11
00
00
11
11
01
01
01
10
00
00
00
00
11
11
11
11
10
00
10
10
01
00
10
11
10
10
00
00
10
00
00
10
01
01
10
11
10
10
10
01
11
00
10
10
01
10
00
11
11
10
00
01
10
01
01
01
00
00
11
11
10
00
00
10
11
10
10
01
00
11
00
10
00
01
01
10
10
00
00
10
10
10
00
00
10
00
10
01
10
10
00
10
00
10
11
00
00
10
00
00
00
00
01
01
10
00
01
11
10
00
11
10
00
00
00
11
01
01
11
00
00
11
01
01
01
10
10
11
01
00
00
00
11
01
00
11
01
10
00
01
01
11
00
10
10
10
00
00
10
00
11
10
01
00
00
01
11
00
00
10
10
11
10
10
00
00
10
00
10
00
01
00
00
10
01
11
00
01
11
00
01
10
11
10
01
00
10
11
01
10
11
00
01
00
10
11
01
00
10
01
01
11
00
00
10
01
00
00
00
10
10
10
10
10
11
00
00
10
10
11
01
10
00
00
10
10
10
01
00
00
10
00
10
10
00
10
10
10
10
11
10
10
11
10
00
00
11
00
01
01
10
10
00
11
10
00
10
10
11
01
10
00
11
10
10
00
10
11
00
00
01
10
10
11
10
00
01
10
10
00
00
11
10
01
00
10
00
11
01
11
10
01
10
00
01
00
10
00
10
11
10
10
01
10
00
10
10
00
10
11
00
01
10
11
01
10
10
10
00
00
01
11
00
10
10
00
11
10
10
00
01
11
01
10
11
00
01
11
00
10
01
00
10
10
00
01
00
00
10
00
01
11
01
11
11
11
01
01
01
00
00
10
11
01
01
10
10
00
10
00
11
10
01
10
10
11
10
11
00
10
00
11
11
00
10
01
01
00
01
11
10
00
10
00
10
11
10
10
00
00
10
00
00
01
00
11
11
00
00
10
10
00
10
01
01
10
10
11
00
10
01
00
00
10
10
01
00
01
11
11
00
00
10
10
00
00
11
00
10
10
00
10
00
10
00
10
01
10
00
10
00
00
00
00
11
00
11
00
10
10
10
01
01
10
00
10
11
01
11
11
10
00
01
00
00
10
11
01
11
11
00
01
00
00
10
10
00
01
00
10
11
01
00
00
00
10
10
10
10
10
11
00
11
11
11
00
00
01
01
10
10
01
00
10
10
10
01
00
01
11
10
01
10
00
01
11
11
10
10
00
11
00
01
10
10
00
00
01
01
00
10
00
01
10
10
10
00
10
10
00
00
10
01
00
10
00
01
11
01
00
00
01
10
01
11
01
00
10
11
10
00
00
10
10
10
01
00
00
10
11
00
10
00
00
01
11
00
00
11
11
10
00
01
10
00
00
10
00
00
00
00
10
10
01
10
10
00
10
10
00
11
11
00
00
11
01
00
10
10
10
10
10
10
00
00
11
00
01
01
00
01
10
10
11
10
00
00
00
10
10
00
01
00
11
00
10
10
00
01
10
11
00
00
10
11
01
00
00
00
10
10
01
10
10
01
01
00
10
00
00
11
11
01
11
11
01
00
10
10
00
01
11
01
01
01
11
01
00
10
01
11
10
00
00
00
10
11
01
10
10
01
11
10
00
00
11
00
00
10
10
00
11
10
10
10
10
11
10
10
11
00
00
10
01
01
10
01
01
11
00
10
10
00
01
10
11
00
00
10
00
01
11
00
00
10
10
01
11
10
10
11
10
10
00
10
11
00
01
01
10
00
00
00
00
00
11
00
00
10
11
10
11
11
01
11
10
01
00
10
10
01
10
10
11
10
01
00
01
11
01
00
01
10
00
10
00
10
11
11
11
01
01
00
10
01
10
01
01
10
00
01
11
10
11
01
00
01
01
10
10
11
01
01
10
11
10
10
01
00
10
00
00
11
10
10
00
10
00
00
00
00
10
11
10
10
11
01
00
10
10
00
11
10
10
11
01
01
01
10
01
00
01
01
11
10
01
00
10
11
00
10
11
00
00
01
00
00
10
10
00
10
10
00
10
11
01
00
10
01
01
01
00
10
10
01
10
01
00
10
11
01
01
01
00
11
00
00
11
00
00
11
10
01
00
10
11
10
01
11
00
10
10
00
01
11
11
00
00
11
10
00
00
01
10
00
10
11
00
10
10
10
01
00
11
10
00
00
00
01
10
00
01
00
10
00
00
10
00
00
10
01
10
11
00
00
00
00
01
00
01
10
10
00
11
10
01
00
11
01
10
00
01
00
10
10
00
01
10
10
00
10
10
00
01
10
00
10
10
10
00
11
00
00
11
00
00
01
10
10
01
00
10
00
00
10
11
01
01
00
10
10
11
10
11
10
00
01
00
01
10
01
01
00
11
10
11
00
00
10
11
01
01
11
10
00
11
10
10
01
00
11
00
01
11
11
00
01
00
10
10
00
00
10
10
00
00
00
10
10
01
10
10
10
00
01
01
10
00
00
10
00
00
10
00
00
10
01
10
11
10
10
10
00
01
00
11
10
11
10
00
00
01
10
10
00
01
01
10
00
01
01
11
00
11
10
00
10
10
10
10
00
00
00
10
11
00
10
11
00
10
01
11
10
11
00
00
00
11
10
10
00
01
01
00
00
11
11
01
01
00
10
00
00
10
10
10
11
10
11
10
10
00
00
00
00
00
10
00
00
00
00
10
00
11
10
01
10
10
01
11
00
00
10
10
10
01
00
11
11
11
10
11
00
01
00
10
10
10
00
01
11
00
10
10
00
11
10
00
10
10
10
11
01
00
00
11
00
01
00
10
11
00
10
00
00
10
00
00
11
00
01
10
00
00
00
00
00
01
10
00
00
10
10
10
01
11
10
00
10
11
11
00
00
10
00
00
10
10
01
00
00
10
00
10
00
00
10
11
01
10
01
11
00
00
00
00
11
10
00
10
01
00
10
11
10
00
10
10
01
11
10
10
01
01
00
00
00
10
10
10
01
11
00
11
01
11
01
11
10
10
00
11
00
00
11
11
00
10
00
11
01
00
10
01
00
01
10
10
01
00
11
00
10
10
01
01
10
00
10
00
11
00
01
10
10
11
11
00
00
00
11
10
10
01
10
01
10
00
00
00
10
10
00
01
11
11
11
01
00
00
01
10
10
00
10
11
01
00
10
01
01
10
00
00
00
10
10
10
10
00
00
10
10
00
10
01
11
00
11
00
00
00
00
00
00
10
11
00
01
10
00
00
11
10
10
11
01
10
10
11
10
10
01
01
11
00
00
01
01
10
00
11
00
01
10
10
10
01
10
10
10
00
00
10
11
01
01
10
10
00
11
10
00
01
10
10
01
00
10
10
01
10
10
00
10
00
00
00
00
00
01
10
11
11
00
00
01
01
11
00
01
01
10
10
10
10
01
11
10
10
10
10
11
10
00
00
01
10
01
01
10
00
01
10
01
11
10
00
01
00
01
01
11
01
10
00
00
01
11
00
00
11
10
00
01
11
11
11
00
01
01
11
10
11
00
00
00
00
11
10
01
01
11
00
10
11
00
00
10
11
00
00
00
10
00
11
11
11
10
00
10
00
00
10
00
00
10
00
10
00
00
11
11
00
11
11
00
10
10
10
00
10
00
10
01
01
11
00
00
01
11
01
10
10
10
11
00
10
00
01
10
10
11
00
00
01
00
11
00
00
10
11
00
00
10
10
00
11
00
10
01
00
00
00
01
10
01
10
01
00
11
10
10
10
00
11
00
01
11
10
10
10
10
00
00
00
00
10
01
11
10
01
10
10
11
00
00
11
10
00
10
11
00
00
11
00
01
10
10
00
00
10
10
00
00
00
01
10
10
10
10
10
00
00
01
00
10
00
01
10
01
00
00
11
01
01
01
10
10
10
01
00
11
00
00
10
10
00
00
01
10
11
11
01
10
00
00
10
11
00
00
10
11
00
01
11
10
01
00
10
00
00
10
01
00
10
01
01
11
01
00
01
01
00
11
00
10
10
00
00
00
01
10
00
10
01
01
11
01
00
11
00
10
10
10
00
00
11
10
10
00
10
11
01
00
01
01
01
00
00
10
10
10
10
00
10
11
00
00
11
00
00
10
00
00
10
11
00
11
10
10
00
10
01
00
00
10
11
10
00
00
00
10
10
10
10
00
01
01
00
01
11
01
11
01
00
00
01
11
00
00
10
10
00
00
00
10
10
10
10
00
10
11
00
10
01
01
10
10
10
10
10
00
00
10
11
00
00
01
10
11
11
00
00
10
00
01
00
10
10
11
01
10
00
01
10
01
00
10
01
00
10
10
10
00
01
00
10
10
01
00
11
00
01
00
00
00
10
10
00
11
11
00
00
10
00
11
00
11
01
01
10
01
11
00
10
01
00
11
01
01
10
10
00
11
00
00
01
10
10
01
10
10
00
01
11
10
10
10
00
00
00
00
10
00
00
00
10
10
10
11
00
10
00
11
10
10
00
00
00
00
10
11
10
01
11
10
10
10
10
11
11
01
01
00
10
10
00
00
10
00
01
10
11
10
11
00
00
11
11
11
00
00
10
10
10
00
10
00
01
00
11
00
10
11
10
00
01
00
10
11
00
00
10
00
11
10
00
11
10
00
10
00
01
10
11
00
00
10
11
10
11
11
10
11
10
00
10
00
00
01
10
10
11
10
10
10
10
00
00
10
11
10
00
01
00
01
01
01
00
10
10
10
11
01
10
00
10
10
10
01
01
00
00
10
01
10
01
10
11
01
10
00
10
10
00
10
11
00
00
00
01
10
01
01
00
11
11
10
11
00
10
11
10
00
00
11
00
10
10
00
00
00
10
10
00
00
10
00
01
00
01
11
10
10
01
00
11
10
01
00
00
00
10
10
00
10
11
00
01
01
11
00
01
10
00
01
11
00
10
10
00
10
10
11
01
01
11
00
01
00
10
00
00
10
11
10
10
00
00
00
10
10
00
01
10
01
10
00
10
01
01
11
11
01
10
11
11
00
00
11
11
00
11
10
00
10
00
00
01
11
10
00
00
10
10
00
10
11
10
00
00
01
11
00
10
10
10
11
10
01
00
10
01
11
10
01
00
11
01
10
11
10
00
01
00
11
00
00
10
10
00
01
10
10
00
00
00
00
01
00
00
10
10
10
10
00
00
00
10
10
01
10
00
00
10
11
01
10
00
10
11
11
11
10
10
00
00
01
11
11
11
01
00
01
10
10
00
01
10
01
00
11
01
00
10
11
10
01
00
10
10
10
00
00
00
11
01
10
10
01
00
01
01
00
10
10
01
00
01
10
10
00
00
10
10
10
01
10
00
01
00
10
00
10
11
01
10
01
10
11
01
01
01
10
00
00
10
10
00
00
10
11
01
10
10
00
10
10
11
01
00
10
01
10
10
00
01
11
00
00
10
00
00
00
10
10
11
01
00
00
01
10
10
00
00
00
01
11
01
00
11
00
00
10
10
00
11
00
00
10
00
01
00
11
00
00
00
00
00
10
10
00
01
01
01
11
00
11
11
10
00
01
10
11
00
00
00
11
00
00
10
10
10
01
00
10
00
10
01
01
10
01
10
01
01
00
00
10
10
00
00
11
00
10
00
00
10
00
00
11
00
00
10
00
10
00
11
10
00
01
10
10
00
10
10
01
00
10
10
00
10
10
00
00
10
01
01
01
00
11
01
00
10
10
00
00
01
10
11
10
00
00
11
00
10
10
10
10
00
10
00
10
00
01
11
10
00
01
11
10
01
00
10
01
00
11
00
10
10
10
00
10
00
00
00
00
00
00
00
10
00
00
01
10
10
01
10
01
10
10
00
11
00
00
00
10
10
10
11
00
11
11
00
00
11
00
01
00
01
11
10
00
00
01
00
01
10
00
10
10
10
10
10
01
10
10
01
00
10
01
00
11
11
00
00
10
00
10
00
00
11
10
11
11
01
11
10
00
00
10
11
00
01
10
01
10
11
00
10
10
10
10
01
10
11
00
00
01
01
10
10
00
00
00
11
10
01
00
11
00
00
00
00
00
11
10
00
00
00
01
10
10
11
00
00
00
10
11
10
01
11
00
01
10
00
10
10
00
00
01
01
10
11
01
10
10
10
00
01
00
10
10
00
00
00
10
00
00
10
10
10
01
00
00
11
10
11
11
00
11
00
11
00
10
01
00
10
11
01
10
10
00
00
00
01
10
10
10
10
11
11
00
00
11
10
00
01
00
00
11
10
00
10
11
10
10
10
00
10
11
11
01
11
11
01
00
10
11
10
10
01
01
11
01
11
00
11
11
10
11
00
00
11
00
10
10
00
00
00
01
11
10
10
00
00
10
10
00
10
11
00
01
01
01
00
11
00
00
00
11
11
11
00
01
10
10
10
00
01
10
00
00
10
00
11
10
10
01
10
00
10
01
01
00
10
10
00
10
10
01
00
01
10
00
00
11
10
11
10
01
11
11
01
00
01
11
11
00
00
11
10
10
00
00
10
00
10
00
10
10
00
00
10
11
10
00
11
10
00
00
00
10
10
00
00
01
01
10
00
00
10
10
00
11
10
01
00
00
10
00
01
10
00
10
10
10
00
00
11
00
00
10
10
10
01
10
01
01
11
00
10
00
01
00
01
10
10
10
11
00
10
10
00
10
00
00
10
10
00
11
00
10
00
00
00
11
00
11
00
10
11
00
11
10
01
01
10
00
00
10
11
00
00
10
11
01
10
10
01
01
00
00
10
10
10
01
00
11
00
10
00
00
01
10
10
00
11
10
00
10
01
00
00
10
00
11
00
10
11
00
10
01
00
01
00
00
10
00
10
11
10
11
00
01
01
01
00
10
01
00
10
10
10
00
10
11
01
00
10
10
01
10
01
00
10
01
00
00
11
01
10
01
10
00
10
10
01
10
10
00
10
10
10
10
01
11
10
00
10
01
10
11
11
01
01
01
01
10
00
01
10
00
00
00
11
01
11
10
11
00
11
10
10
00
00
10
00
00
10
00
10
00
01
00
00
11
10
11
11
00
10
10
10
00
11
10
10
00
01
00
11
10
01
00
10
01
00
00
10
10
00
01
01
10
01
00
10
11
10
00
10
10
00
10
10
11
00
10
10
00
00
11
00
00
10
10
00
01
10
01
10
01
10
10
00
11
10
00
01
10
10
00
10
01
00
10
01
10
10
10
01
01
10
10
00
00
00
00
10
01
11
10
01
10
10
11
00
00
11
00
00
01
00
11
00
00
11
11
10
00
10
11
11
00
10
10
01
00
10
11
00
01
10
10
00
00
10
01
01
10
10
00
11
10
01
00
00
10
10
00
10
10
00
10
10
10
11
11
10
00
11
11
10
01
00
00
00
11
10
00
00
10
11
10
10
10
00
01
00
00
10
00
10
01
00
11
00
01
00
10
00
11
11
11
11
01
11
00
01
10
11
00
00
11
10
11
00
01
10
00
11
11
10
10
10
11
00
00
00
00
10
00
11
10
10
00
10
11
00
10
01
01
00
10
00
11
00
11
01
00
10
10
00
11
10
00
10
10
00
00
00
01
00
01
10
00
10
10
10
00
00
11
00
01
10
00
11
11
10
00
11
10
10
11
10
00
01
10
01
00
01
10
10
00
10
10
10
00
01
01
10
10
10
00
10
00
01
00
00
01
10
00
11
00
10
01
10
11
10
00
00
10
01
11
11
01
00
00
11
10
10
00
00
00
10
01
00
01
00
11
11
00
10
10
01
10
10
00
10
01
00
00
11
00
01
11
01
10
10
01
00
10
00
01
10
00
00
00
01
10
11
01
01
10
01
10
00
01
11
10
00
10
10
00
10
00
01
11
10
10
00
11
00
00
10
00
00
11
00
00
10
11
11
10
00
11
11
00
00
00
10
01
11
11
00
00
10
00
00
00
00
10
11
10
11
00
10
11
00
00
11
10
00
00
11
10
11
00
00
10
10
00
11
11
00
00
10
00
10
11
01
11
10
00
00
10
11
00
11
10
10
10
10
01
01
10
10
11
00
01
00
01
11
11
01
01
00
10
11
00
01
10
00
01
00
10
00
01
10
10
10
00
10
01
00
00
01
00
00
00
10
10
00
11
00
00
00
10
00
10
10
01
10
11
10
01
10
10
00
01
11
11
10
11
00
01
00
00
00
00
10
00
01
10
11
00
00
10
01
00
01
10
11
11
10
00
10
10
10
01
00
00
00
10
10
11
00
10
10
00
11
10
10
01
00
00
11
10
00
00
11
10
01
00
00
00
10
01
01
10
10
10
01
00
01
10
10
00
00
01
10
11
00
00
10
00
00
11
01
00
11
10
11
10
00
00
11
10
10
10
01
00
01
10
01
11
00
00
01
10
11
11
00
11
01
01
00
00
11
10
00
00
10
00
11
00
00
00
10
11
11
10
01
10
00
00
00
00
00
11
11
01
10
10
00
01
11
10
01
00
00
00
11
01
01
01
10
00
00
10
00
11
10
11
00
00
00
11
11
10
10
01
00
00
00
01
10
10
11
10
10
10
10
11
10
00
01
11
00
11
11
00
10
10
00
01
11
10
10
01
01
10
11
00
00
10
00
10
00
11
11
11
00
11
00
00
00
00
00
10
10
00
10
01
11
01
01
01
11
10
11
00
10
11
10
00
00
00
10
10
10
00
00
00
00
11
11
01
00
11
11
00
00
11
00
00
11
10
00
00
00
00
00
10
10
10
00
01
00
00
11
11
10
01
00
11
01
00
00
10
01
00
11
10
00
10
00
00
00
10
10
00
00
00
11
10
10
10
11
01
10
10
10
00
10
01
10
11
00
00
10
10
01
00
00
11
10
10
10
01
00
00
11
00
11
01
01
11
10
01
00
10
11
10
00
11
10
11
00
01
10
00
11
11
11
00
10
11
10
00
01
00
01
10
10
11
11
01
00
10
10
11
00
01
11
10
10
00
01
00
00
10
10
00
10
10
11
10
11
10
01
00
10
00
01
11
00
10
10
10
01
01
10
10
00
00
10
00
11
10
10
00
10
00
10
10
01
10
00
00
10
01
11
11
01
11
11
01
00
01
10
10
00
11
10
00
00
11
00
01
10
00
10
00
01
11
10
00
01
10
11
11
00
00
11
10
11
01
00
10
11
10
01
00
10
10
10
01
00
10
00
10
10
00
10
11
00
00
10
01
10
01
00
00
10
00
01
10
10
00
00
10
10
11
01
11
10
10
10
00
00
10
00
00
10
11
10
11
10
10
00
00
10
00
00
10
00
01
01
01
10
10
10
10
10
10
00
00
00
10
00
00
10
10
00
00
11
00
10
00
00
11
00
00
10
11
00
00
01
01
00
01
10
01
01
00
10
11
00
00
00
10
10
00
00
10
10
00
00
01
10
00
11
10
10
11
00
00
11
10
10
00
10
00
10
10
10
01
01
00
00
10
01
10
00
10
10
10
10
00
01
10
10
10
01
01
00
00
10
10
11
10
10
00
00
10
00
10
11
00
01
01
00
11
10
10
00
10
11
11
00
00
10
00
00
00
00
01
11
10
01
10
00
11
00
10
00
00
11
01
10
10
00
00
00
01
10
00
01
10
00
00
10
00
11
01
00
10
01
11
10
10
10
01
00
10
11
00
10
10
00
10
00
00
01
01
11
00
01
00
11
10
11
11
10
10
00
00
11
00
01
11
00
11
11
10
00
00
10
10
00
00
10
10
10
00
01
10
01
00
01
10
11
11
00
01
10
10
10
11
01
01
11
10
11
00
11
10
10
01
11
00
01
01
10
01
00
10
00
01
11
11
01
00
11
11
00
11
00
00
10
00
10
10
10
00
11
00
10
11
00
00
00
00
00
00
11
01
10
01
00
01
10
01
10
10
11
01
10
01
10
00
00
11
10
00
00
00
11
11
10
11
11
00
00
00
10
00
10
11
01
01
10
01
00
10
10
00
01
00
11
11
11
00
10
00
00
10
10
10
01
11
00
10
01
11
10
00
01
00
11
00
00
11
01
10
01
10
10
00
10
01
00
00
10
01
01
00
10
10
00
11
11
01
00
00
00
01
10
01
11
10
00
00
10
10
00
01
01
00
01
11
10
10
10
10
11
10
00
01
11
11
10
00
00
00
11
11
00
00
10
10
11
00
00
00
01
10
11
00
10
01
10
10
00
01
10
00
01
00
11
11
10
01
11
01
10
10
00
10
10
11
01
00
00
11
00
11
01
00
11
10
10
10
11
00
11
10
00
11
10
00
00
10
10
00
11
10
11
10
00
01
10
00
00
00
11
10
00
10
00
10
01
11
10
00
00
10
01
10
10
11
01
11
01
01
00
00
00
11
11
00
10
10
10
00
10
10
00
00
00
00
10
00
10
10
00
11
00
00
10
11
01
11
01
01
10
10
00
01
10
00
10
11
00
11
00
00
10
01
10
11
00
00
11
11
10
11
11
01
11
00
00
10
10
01
00
10
10
01
00
10
01
00
00
11
01
00
11
10
10
10
10
10
11
11
01
00
01
10
01
00
10
11
00
00
11
01
00
10
10
01
00
10
01
00
11
10
01
11
10
10
11
00
01
00
10
10
11
00
00
10
11
10
00
10
01
10
01
10
10
10
00
11
00
11
11
10
00
00
00
01
10
10
10
01
00
11
10
00
00
00
01
10
00
00
00
10
10
00
10
11
10
00
10
11
10
01
01
00
10
00
00
10
00
10
10
11
11
00
10
01
00
00
10
11
01
01
10
11
00
01
10
10
01
00
10
00
10
10
11
10
00
00
10
10
00
00
00
00
00
10
00
10
10
00
00
00
10
10
10
10
00
00
10
11
01
00
10
00
00
01
01
10
00
10
01
10
00
10
11
00
00
10
00
00
11
01
10
10
01
00
01
00
10
10
00
10
11
10
00
11
11
01
00
10
10
10
01
00
11
11
10
00
01
11
10
01
00
01
00
00
00
10
11
10
00
01
10
11
00
10
11
11
10
11
00
00
00
00
10
11
00
00
01
00
11
11
10
00
10
10
11
00
00
00
01
00
11
11
00
00
00
00
10
10
00
10
00
10
11
00
11
00
00
00
00
10
00
11
10
00
01
00
10
00
10
00
00
01
00
10
10
11
11
10
01
10
11
01
10
01
10
10
11
01
10
10
00
10
10
00
01
01
10
10
10
10
00
00
00
11
10
11
10
10
10
00
01
10
01
01
10
10
11
10
10
11
00
01
11
11
00
00
01
11
10
00
00
11
10
00
10
11
00
10
01
00
00
11
10
01
10
00
00
10
11
11
11
00
10
10
00
00
10
00
00
11
10
01
01
11
10
01
01
10
00
00
11
11
00
01
10
10
00
10
00
00
10
10
00
00
10
10
10
01
00
10
11
10
10
00
11
00
01
00
10
11
01
11
00
00
00
11
10
10
11
00
00
01
10
00
00
00
00
01
10
00
10
10
10
00
11
11
11
00
01
11
10
11
00
10
11
00
10
01
01
10
00
00
00
00
01
10
10
11
11
00
00
11
00
00
01
10
00
00
00
00
00
11
11
00
11
00
11
11
11
00
00
10
00
10
11
10
01
01
10
11
00
10
10
11
01
10
10
01
00
10
00
11
00
00
01
10
10
10
10
00
10
10
00
00
10
00
10
11
01
10
10
00
10
00
11
11
01
10
11
11
00
00
00
10
11
11
01
11
11
10
10
00
01
11
11
00
01
01
00
10
10
00
01
00
10
10
00
00
11
11
11
01
10
01
10
00
01
10
01
00
01
10
10
01
01
00
01
10
11
10
11
00
11
00
00
01
10
10
00
10
11
00
01
10
01
10
10
10
00
10
11
11
10
10
00
10
00
10
10
11
01
11
11
11
11
00
10
11
01
10
00
00
11
10
10
01
00
01
00
01
11
00
01
10
11
00
01
00
10
10
01
00
10
10
00
01
10
10
01
00
10
10
10
10
10
01
11
00
00
01
01
00
10
00
11
10
11
00
00
00
10
00
10
10
10
00
01
11
00
00
00
10
10
10
00
00
11
01
10
00
10
11
10
00
00
00
01
01
00
10
00
11
10
01
00
00
10
11
01
10
11
00
00
11
01
00
10
00
00
00
10
00
10
11
00
10
01
00
00
10
10
00
01
10
00
01
10
11
00
01
00
11
10
00
01
00
10
11
01
01
10
10
10
11
01
01
00
10
10
00
10
01
00
10
00
00
10
10
00
00
10
10
00
00
10
00
00
11
01
11
00
10
10
01
10
00
01
10
10
11
10
10
00
00
10
00
10
10
00
00
11
11
00
10
11
00
00
00
00
11
11
10
01
00
00
11
10
00
00
11
11
10
11
00
01
11
00
00
11
00
10
01
11
00
11
01
10
11
01
10
10
01
01
01
01
00
10
10
00
11
00
00
10
00
10
10
01
00
11
11
10
11
00
11
00
01
11
10
00
00
10
01
00
11
01
00
01
00
10
10
11
01
10
00
10
00
00
11
01
11
01
00
10
10
10
01
00
00
00
11
10
01
00
10
01
00
11
10
00
00
10
00
00
00
00
11
11
00
00
10
10
00
11
11
11
10
10
00
00
00
10
01
00
10
11
00
00
00
10
11
10
00
11
00
00
10
00
10
00
00
10
00
11
10
00
10
11
11
00
11
10
00
00
01
10
00
10
10
01
11
10
01
00
00
00
10
11
10
01
00
10
01
00
10
00
11
00
11
10
11
11
00
00
10
01
00
00
10
10
11
11
00
00
01
00
11
11
10
00
00
00
00
11
10
11
00
01
10
10
10
10
11
00
10
11
00
00
01
00
10
10
01
00
10
00
01
00
10
00
10
00
00
11
00
00
00
01
10
00
00
11
00
11
11
11
10
00
00
11
00
10
00
00
10
00
00
11
11
10
00
10
10
10
10
11
01
10
10
01
00
01
11
01
11
00
00
01
00
10
10
00
00
00
10
00
10
10
10
00
10
00
10
00
10
10
00
10
00
11
11
10
10
10
00
10
00
10
10
01
00
11
00
11
00
10
00
00
10
01
01
10
11
10
00
00
00
10
10
10
00
00
10
00
01
01
10
10
10
01
11
11
00
10
00
00
11
00
01
10
10
00
11
11
00
01
10
11
10
00
00
10
10
01
11
11
11
01
00
01
10
10
00
01
10
00
00
00
11
10
10
00
10
00
01
11
00
10
10
10
00
00
00
01
11
00
10
00
01
00
11
01
01
11
01
11
01
11
11
00
00
11
11
01
00
10
10
00
11
10
00
01
01
10
00
00
10
10
01
00
11
01
11
10
10
10
00
01
11
10
10
00
00
00
10
00
10
00
10
01
01
00
10
11
01
11
11
11
10
00
01
10
00
00
00
00
11
11
01
10
11
10
11
01
01
11
00
01
11
10
01
00
10
10
00
00
11
10
00
01
01
00
01
10
01
00
10
00
00
11
10
10
10
11
00
10
10
10
10
10
01
10
00
10
00
10
10
00
00
00
01
00
10
10
10
00
00
01
10
00
00
10
00
00
01
10
10
00
00
00
01
00
11
10
00
00
01
10
10
01
11
00
01
00
00
10
00
00
11
11
00
10
10
10
00
00
10
00
01
10
01
10
10
01
11
10
11
10
00
00
10
01
00
11
11
10
11
10
00
00
11
10
01
00
11
01
10
00
10
00
01
00
01
10
01
01
11
10
00
00
10
01
00
10
10
00
01
01
00
11
00
00
01
01
10
01
10
11
10
00
01
00
10
11
10
11
00
00
01
10
00
01
10
00
00
10
10
01
10
11
01
11
10
10
01
00
10
11
00
00
10
10
10
10
00
01
11
01
00
01
10
11
10
00
01
10
01
00
10
11
01
00
10
10
00
11
01
00
10
00
10
10
01
10
00
00
10
00
00
10
11
00
01
10
11
00
00
10
10
11
01
00
00
10
10
10
00
00
10
00
00
10
10
00
00
11
00
00
10
10
00
10
00
10
00
01
10
10
10
11
10
01
10
00
10
10
01
00
00
10
11
01
00
10
00
10
11
01
01
01
11
11
10
01
01
11
10
00
01
10
10
10
10
00
00
10
10
10
10
01
00
10
10
01
00
01
11
10
11
10
00
00
10
10
11
00
00
10
01
00
10
00
00
11
10
10
10
10
00
01
11
01
00
00
10
10
01
00
10
11
00
00
00
01
10
00
00
00
10
01
11
00
01
10
01
11
10
00
00
10
10
00
00
11
10
00
10
11
00
00
00
10
10
10
10
00
00
00
11
10
01
00
10
01
10
11
00
11
10
01
00
00
11
11
01
01
10
00
11
00
11
01
10
00
11
11
01
10
11
10
11
00
10
00
10
00
01
11
00
00
10
00
10
00
11
10
00
10
01
10
10
00
01
00
00
11
00
00
10
00
00
11
10
10
10
11
11
11
10
00
00
10
00
10
10
01
10
11
00
00
00
11
01
00
01
00
11
10
10
11
00
11
10
10
00
00
11
10
10
10
00
10
10
11
11
00
10
00
11
00
00
10
01
01
11
00
01
01
10
10
00
01
01
10
10
11
00
00
10
10
11
10
01
00
00
00
00
10
10
11
01
00
10
00
01
00
01
10
11
10
10
01
10
10
10
01
00
10
00
00
10
00
11
00
10
01
10
01
10
00
11
01
00
11
00
10
10
00
10
00
10
10
10
11
11
00
10
00
10
11
10
01
00
10
01
01
00
11
10
00
10
10
00
10
00
00
10
11
10
00
00
01
00
00
00
01
01
01
00
00
01
11
10
10
01
11
01
11
10
00
00
10
01
10
11
10
01
00
11
00
00
01
11
01
10
11
00
00
10
00
00
00
01
01
10
10
01
11
11
11
01
11
11
00
11
10
00
00
11
01
10
10
00
00
01
00
11
01
00
11
01
10
11
11
01
11
00
00
10
11
10
11
00
00
10
10
11
00
00
10
00
10
10
10
00
01
11
10
00
10
00
00
01
10
00
00
11
01
00
01
11
10
00
10
10
00
11
11
00
01
00
11
10
00
01
10
10
00
01
10
10
01
10
01
10
01
10
00
00
10
11
01
00
10
10
01
11
10
00
00
10
11
01
00
10
11
01
00
00
10
00
10
00
10
10
01
10
01
10
10
11
10
01
00
00
10
00
11
01
00
10
10
00
00
00
00
10
01
11
00
10
00
10
00
01
10
00
10
10
11
00
00
11
10
01
01
10
00
10
10
00
01
10
10
01
10
11
01
11
10
11
00
10
00
00
00
01
10
11
00
10
10
00
10
01
00
10
00
10
01
00
01
00
10
11
00
10
11
00
10
10
11
00
00
00
11
11
00
11
10
01
10
01
00
00
11
00
11
10
00
00
01
00
10
10
00
10
01
10
00
01
11
10
11
01
11
01
01
00
00
01
10
00
00
11
01
01
10
10
01
00
00
10
10
00
00
00
10
01
11
10
01
10
11
00
01
11
10
10
00
10
10
01
00
10
00
00
10
00
01
11
10
01
01
01
01
00
11
11
11
00
00
10
11
00
00
00
11
00
00
11
00
00
10
00
00
01
10
10
10
10
01
11
00
10
01
00
10
11
11
00
10
10
10
10
00
01
11
10
00
10
01
10
10
10
10
01
01
00
00
10
01
10
01
00
11
01
10
10
00
01
10
10
01
11
10
10
10
11
10
01
10
01
01
01
10
00
10
10
00
00
10
00
00
10
10
00
10
00
00
10
00
01
00
11
00
10
11
10
01
00
11
11
01
11
11
10
01
01
01
10
10
00
00
10
10
00
00
10
10
01
00
11
00
00
11
00
10
00
00
10
10
11
10
11
01
11
11
00
00
00
00
00
01
10
10
00
00
10
00
00
00
11
01
10
10
10
01
00
00
00
10
10
00
10
11
00
11
01
00
10
00
00
00
00
11
10
11
10
00
00
11
00
01
00
10
00
00
10
10
00
01
00
10
10
01
01
00
00
01
10
01
11
10
11
10
00
00
00
11
10
11
00
00
11
10
00
01
00
10
00
10
10
00
00
00
11
01
10
10
00
00
10
10
10
00
00
01
11
01
10
00
00
00
10
10
00
01
01
00
10
10
00
00
11
11
11
01
00
10
11
00
11
00
10
10
00
11
11
10
00
11
11
10
01
11
00
01
10
01
01
10
10
01
10
00
01
11
00
11
00
10
10
01
10
10
00
01
00
10
01
10
01
00
00
10
10
00
00
00
11
00
01
00
11
10
11
00
10
10
00
00
01
00
11
10
11
00
00
10
10
00
10
00
00
10
10
11
00
00
11
00
10
00
00
10
11
00
00
11
00
01
10
10
10
10
01
10
00
00
00
10
11
01
00
10
11
10
10
10
00
10
11
00
10
10
00
11
01
10
11
11
00
01
10
00
00
01
11
10
00
00
00
11
01
11
00
10
00
01
10
11
00
00
10
10
00
10
10
00
00
00
11
01
11
10
00
10
11
11
01
00
11
00
00
11
10
01
10
11
00
10
11
11
01
10
10
00
00
10
11
00
00
10
00
00
10
10
11
00
00
10
10
00
01
00
10
00
01
10
00
00
00
01
00
10
10
10
00
01
10
10
00
00
01
00
01
10
00
00
10
10
00
00
10
00
01
10
01
10
00
00
10
01
00
00
10
10
01
11
10
01
10
10
00
10
00
11
10
00
10
00
00
00
11
00
10
10
00
10
00
10
11
10
11
10
10
01
00
10
00
01
11
11
11
10
00
10
01
11
11
01
00
10
10
01
11
11
10
00
00
00
11
01
10
10
10
10
00
10
00
00
00
10
10
10
00
01
10
00
01
00
00
10
11
11
11
10
10
00
10
00
10
00
00
10
10
00
00
00
00
10
10
00
01
00
11
10
01
00
00
11
10
01
00
11
01
00
11
11
11
00
10
10
00
00
11
10
00
11
00
10
10
10
00
00
10
10
11
00
00
10
10
00
01
00
11
00
00
11
11
01
00
10
10
10
00
10
01
00
00
00
00
00
10
00
00
10
00
11
00
01
01
01
10
00
00
10
11
01
00
10
11
01
00
00
00
10
00
00
01
11
01
11
11
00
00
00
10
00
01
01
10
10
00
10
10
10
00
00
10
01
10
01
00
00
00
00
10
10
00
00
10
10
10
01
00
00
10
00
00
10
11
01
11
00
00
11
01
10
00
01
11
10
00
10
11
00
11
11
00
00
10
00
00
00
10
00
10
00
00
00
10
00
00
10
10
11
00
00
01
01
10
01
10
11
11
00
10
00
10
11
10
00
00
10
00
01
11
10
00
00
00
10
01
00
01
00
11
10
00
10
10
00
00
01
01
00
01
00
11
10
00
11
11
11
00
01
00
11
01
00
10
11
00
10
11
00
00
10
10
01
00
11
10
00
01
11
11
11
00
00
11
00
00
00
10
10
01
00
00
11
10
10
01
00
10
01
10
01
00
00
10
10
00
01
11
11
00
10
10
01
11
10
00
11
01
00
00
00
10
10
00
00
11
00
00
10
10
10
00
10
10
01
00
00
00
11
11
10
01
00
11
10
11
10
00
00
01
10
10
00
01
11
00
10
11
10
10
10
11
00
00
01
10
01
01
10
01
00
00
11
10
00
11
10
00
00
01
11
11
11
10
11
01
01
10
11
01
11
10
00
11
00
01
00
10
00
10
11
01
00
11
10
00
10
01
10
10
10
00
00
00
01
10
10
00
10
11
10
10
01
10
10
01
11
01
00
00
11
00
00
10
01
00
00
00
10
10
10
00
10
01
11
10
10
01
01
11
11
01
10
01
10
11
01
01
00
10
10
00
10
10
11
01
01
00
10
10
00
01
01
01
10
00
10
11
00
01
10
10
10
00
01
10
00
11
00
01
10
10
01
01
00
10
11
00
10
00
11
10
11
01
11
10
10
00
00
10
00
00
11
00
10
01
00
10
10
00
10
10
10
01
01
10
10
10
10
01
00
00
10
10
11
00
00
10
01
00
10
01
00
10
01
10
01
10
00
00
10
10
10
00
00
00
00
00
00
00
10
10
00
10
11
10
10
00
00
00
11
10
10
10
10
00
01
01
10
11
00
00
00
11
11
11
00
01
00
11
11
00
00
10
10
10
00
00
10
00
10
10
11
10
10
00
10
00
01
10
01
11
10
10
00
01
10
10
00
11
01
01
10
00
00
11
00
01
10
10
00
00
01
11
00
01
10
11
10
00
10
10
00
01
11
10
00
01
10
01
00
10
10
00
00
11
10
00
00
10
01
00
00
10
10
01
11
11
01
01
00
10
10
01
10
10
00
00
11
10
11
00
10
01
10
11
10
10
00
00
10
11
10
00
00
11
10
00
01
00
00
11
00
00
11
10
00
10
11
11
01
00
10
00
10
01
00
11
10
01
00
10
10
10
10
00
11
11
10
01
00
10
11
11
00
10
11
10
10
00
00
00
00
10
11
10
10
00
10
10
11
00
01
10
00
00
10
10
00
01
10
11
01
00
00
10
10
10
11
00
11
10
11
10
10
10
00
00
10
00
00
11
11
01
10
00
11
01
10
01
01
10
10
00
00
11
00
00
11
11
00
10
10
00
01
10
01
10
01
10
00
10
00
10
10
00
00
10
10
11
10
00
00
00
00
11
10
01
00
00
10
10
00
11
00
00
10
11
10
10
10
10
10
10
10
00
00
00
00
00
01
00
11
10
01
10
11
01
11
00
00
00
11
10
00
01
00
01
11
11
11
00
00
10
00
01
01
11
01
00
11
00
11
00
01
01
11
11
00
10
10
10
00
00
10
10
10
00
11
00
00
00
00
00
00
10
01
00
01
10
11
01
10
00
01
00
11
11
11
01
10
10
01
10
00
00
11
10
00
00
00
10
00
01
00
11
11
11
10
00
00
01
11
10
00
00
10
00
10
00
10
10
00
00
11
00
11
10
10
10
00
01
00
10
11
10
00
10
10
00
00
10
10
00
00
10
11
00
11
00
11
11
10
10
00
00
10
10
00
00
10
10
01
11
10
11
01
10
10
10
01
00
01
11
10
11
10
11
10
00
00
10
10
00
10
10
11
00
11
11
11
00
11
00
00
10
11
10
00
10
01
00
00
10
11
01
10
10
00
00
10
00
01
11
00
00
10
01
10
00
01
11
00
00
10
11
11
00
01
01
00
00
10
00
10
00
00
10
11
10
01
00
10
10
00
10
10
11
01
00
00
10
11
00
00
10
10
10
10
00
00
10
01
10
01
10
11
10
00
00
10
01
01
00
10
11
00
10
11
01
11
10
00
01
00
11
01
11
11
01
00
10
11
00
00
01
10
10
01
01
10
11
00
10
10
01
01
00
00
10
00
01
10
10
00
11
11
10
00
01
11
11
00
11
00
01
10
11
01
10
11
00
00
11
00
00
00
10
10
10
10
00
10
00
00
11
11
10
00
01
11
10
01
00
01
11
10
01
10
01
00
11
01
01
01
10
11
11
10
00
11
10
01
01
00
01
00
10
01
00
11
10
00
00
10
10
00
00
10
10
00
10
00
01
00
11
11
10
10
10
11
00
11
00
00
11
00
10
01
01
10
10
10
10
00
11
00
01
10
00
10
10
00
00
00
10
10
00
01
00
00
00
10
10
11
00
00
10
11
11
10
10
00
11
00
10
10
00
11
01
00
11
10
10
11
00
11
10
01
00
10
00
10
10
10
10
01
00
11
00
00
00
00
00
00
10
10
00
01
00
00
10
10
10
00
00
11
10
00
10
00
01
00
00
11
00
11
10
10
11
10
01
00
00
11
00
00
11
10
01
11
01
10
00
00
00
00
11
00
01
10
10
10
01
00
00
00
00
01
01
10
00
00
00
01
11
01
11
10
11
10
00
00
00
10
00
10
10
10
00
11
11
01
01
00
00
01
00
10
10
01
01
00
10
10
10
00
01
10
11
01
00
10
00
10
10
10
01
10
11
01
00
11
11
10
10
11
00
01
01
11
11
00
00
01
00
11
10
10
00
00
00
01
10
11
00
10
10
10
10
01
10
10
11
00
01
10
00
10
00
00
11
10
01
10
10
10
00
11
00
00
11
10
01
00
00
10
10
01
00
01
10
11
01
11
01
00
10
11
01
00
11
11
00
01
10
10
00
10
11
01
10
10
10
10
01
01
10
01
10
10
00
10
10
00
00
10
00
10
01
01
10
11
00
00
01
01
11
00
00
11
11
00
00
00
10
00
01
10
10
01
00
01
01
11
00
10
10
00
10
11
00
00
01
00
00
10
10
00
00
11
10
00
00
10
11
10
00
00
10
11
10
11
00
10
10
00
00
10
10
00
11
10
10
00
10
10
01
10
11
10
00
10
11
00
00
10
10
10
11
00
11
00
00
11
00
11
10
00
00
00
11
10
10
00
11
11
01
10
00
10
11
00
01
00
10
10
00
00
00
01
11
10
01
10
00
11
00
01
01
01
11
10
01
11
00
00
10
10
01
11
10
10
00
11
11
10
00
10
01
00
11
00
11
01
10
10
01
00
10
01
01
11
00
00
10
00
00
11
10
00
00
10
01
00
10
01
00
01
10
01
01
10
00
11
10
00
10
11
00
10
10
00
10
10
11
00
10
11
00
10
00
01
00
10
10
00
10
01
10
10
10
00
11
00
11
01
11
11
00
11
01
00
10
10
10
00
11
10
01
01
00
11
11
11
11
01
00
00
00
11
10
00
01
10
00
11
10
01
00
00
10
00
00
01
11
11
00
00
00
10
00
10
11
00
01
00
10
01
01
01
11
01
00
00
10
10
01
10
10
00
10
00
01
00
10
10
00
01
00
11
01
00
10
01
01
11
01
10
10
01
10
01
10
00
00
00
00
10
11
10
10
00
00
10
10
01
10
10
00
00
01
01
10
00
01
10
10
01
00
00
11
10
01
10
00
10
10
01
11
10
01
10
10
00
10
10
10
01
00
11
10
00
10
10
00
11
00
00
11
11
10
00
10
10
00
00
00
01
10
10
10
10
00
00
10
00
01
00
10
10
00
01
01
11
01
00
10
00
11
10
10
11
00
00
11
11
00
00
11
10
10
00
00
10
10
11
00
01
10
11
00
10
10
10
00
00
01
00
10
11
00
11
11
11
10
10
10
00
00
10
10
00
10
00
10
10
01
00
10
00
10
01
00
01
11
10
01
00
10
10
01
11
01
00
10
00
10
00
10
10
01
01
10
00
10
10
11
00
01
11
01
01
00
10
10
11
00
11
10
00
00
10
00
10
11
01
11
10
11
00
00
11
10
00
10
01
00
01
10
01
01
10
00
00
00
10
11
00
10
10
00
10
10
10
10
10
01
01
11
10
01
10
10
01
01
11
10
00
10
00
01
10
11
00
00
11
10
00
01
00
01
00
11
00
01
11
10
00
00
10
10
10
01
10
11
10
10
10
11
10
00
10
11
00
01
10
10
01
01
10
00
10
11
00
00
00
10
10
10
11
00
10
00
01
10
10
00
10
00
01
10
00
00
01
00
01
00
00
10
11
10
00
00
10
10
11
10
00
10
01
10
10
00
10
10
01
00
10
00
11
01
01
01
10
01
00
10
11
10
01
00
01
10
10
10
10
00
00
01
10
10
11
00
00
10
10
11
00
00
10
10
00
10
10
01
00
11
00
00
01
10
00
00
00
00
00
11
10
01
10
10
10
10
00
01
00
10
10
10
10
00
01
10
10
10
11
11
10
00
11
01
10
00
01
11
10
10
10
00
00
00
01
10
10
01
10
00
10
10
01
10
10
10
00
01
00
11
01
00
01
00
01
10
11
11
11
11
10
00
01
10
11
11
00
00
00
01
10
11
00
00
01
01
10
10
01
10
10
00
00
10
00
00
11
00
00
00
10
11
11
10
00
11
00
10
10
10
01
10
00
00
10
01
00
10
00
10
10
01
01
11
00
10
01
11
01
10
00
01
00
11
00
11
10
10
10
00
00
00
01
11
11
10
00
01
00
10
10
10
00
00
11
00
00
00
10
00
00
10
10
10
00
00
00
11
10
00
01
00
00
00
11
11
10
01
00
00
00
00
00
01
10
10
10
10
00
10
10
01
00
10
10
00
00
00
10
10
00
10
10
00
01
00
10
01
01
10
10
00
01
10
00
00
10
10
01
10
10
00
11
00
10
01
00
00
10
00
10
11
00
01
00
10
10
10
00
00
11
01
00
10
10
10
00
11
11
01
00
00
10
00
11
01
01
00
11
11
01
11
00
10
11
10
11
10
01
00
00
00
11
10
00
11
11
11
00
00
11
11
00
00
10
00
00
00
00
10
00
00
01
00
00
10
10
10
11
01
00
00
11
11
10
10
00
00
00
10
00
11
11
00
11
10
11
00
10
11
01
00
11
11
01
00
11
10
00
00
10
00
00
00
10
10
11
01
00
10
00
10
10
01
01
00
00
11
10
01
00
10
01
00
00
10
01
00
01
10
01
10
00
00
11
11
00
10
10
10
00
00
10
10
00
11
00
00
00
11
00
10
00
11
01
01
00
11
00
11
10
01
01
00
11
00
00
10
11
01
11
10
00
10
00
00
10
10
11
01
10
00
01
00
11
10
01
10
11
11
10
10
00
11
00
00
11
00
10
01
10
10
00
00
00
10
10
11
11
11
00
10
00
01
00
00
00
10
11
00
10
00
00
11
11
10
00
10
10
00
00
10
10
01
00
01
10
00
11
10
01
10
10
00
00
11
01
00
10
00
10
00
00
01
01
10
10
10
10
10
11
00
00
11
11
10
00
01
10
00
00
11
11
10
01
11
11
11
10
00
11
01
00
01
10
11
10
00
10
00
10
10
10
00
00
11
11
00
11
00
11
10
10
01
00
00
11
10
10
00
11
01
10
01
11
10
00
11
01
01
11
00
11
10
10
11
00
10
00
01
00
10
10
00
10
00
11
11
11
11
10
10
00
11
10
10
00
00
00
01
10
11
00
00
11
01
10
01
00
10
00
00
10
01
01
11
11
10
00
00
01
10
10
01
11
00
10
00
00
00
10
10
10
01
00
10
10
01
10
11
00
00
01
11
01
01
10
11
01
11
11
00
00
11
10
01
00
10
10
10
10
01
10
11
01
01
10
00
00
11
01
01
01
10
00
01
11
10
10
10
00
01
10
00
01
00
10
00
00
10
10
00
01
10
11
01
10
10
01
10
10
00
00
00
11
00
01
10
11
01
00
00
10
00
00
01
11
11
10
11
00
10
11
00
01
10
01
00
10
11
11
10
00
00
10
00
00
00
01
10
10
11
00
00
10
10
10
01
01
10
10
00
01
00
10
10
01
01
01
11
10
11
00
10
00
00
11
11
01
00
10
10
10
10
00
11
10
11
01
10
00
01
10
10
01
01
10
10
10
01
00
11
00
10
00
01
10
00
00
10
01
00
00
00
01
01
10
10
10
00
00
00
00
10
01
11
11
00
00
01
00
00
00
10
10
00
00
10
11
00
11
10
11
11
10
10
10
00
00
00
10
00
00
00
00
10
00
01
10
00
10
00
10
11
00
01
10
10
00
00
01
10
10
00
00
01
11
10
00
00
10
11
01
00
10
00
10
10
01
10
10
10
10
10
10
00
00
01
10
00
11
10
10
00
00
10
00
00
01
10
00
11
00
10
10
00
00
01
11
10
00
01
00
11
10
00
00
11
10
00
10
11
00
11
10
01
00
00
10
11
10
01
10
11
00
00
01
01
11
10
10
00
10
10
10
01
11
10
01
01
00
10
11
11
11
10
01
10
01
00
00
11
10
01
00
01
10
00
10
00
00
10
01
01
00
10
01
11
10
00
11
01
00
00
00
10
10
10
10
11
11
00
01
11
10
10
10
10
11
10
01
00
10
11
10
00
10
01
00
11
10
11
00
10
00
01
00
10
00
10
00
00
11
00
00
10
10
01
00
11
00
10
10
01
11
10
00
11
01
00
11
01
00
01
10
11
00
01
10
01
00
11
00
01
00
10
00
00
01
10
10
00
10
10
10
01
10
11
00
01
11
00
10
11
00
11
00
00
10
10
01
00
00
10
10
10
10
01
11
10
10
10
00
00
11
00
01
10
10
10
11
10
00
11
10
01
00
01
00
10
11
00
10
10
11
00
00
10
11
01
00
10
00
00
10
01
10
10
00
00
00
10
11
10
11
10
10
10
00
00
10
10
00
00
00
00
10
01
10
00
10
10
00
00
11
11
01
11
10
11
00
01
10
10
10
00
00
10
00
01
00
10
00
01
01
10
10
11
00
11
00
01
11
10
10
10
00
00
11
10
10
00
00
10
10
10
10
01
01
00
00
00
10
00
00
00
00
10
10
10
10
11
11
00
10
11
11
10
01
01
11
11
10
01
01
00
11
00
00
11
01
10
00
10
10
11
00
00
11
10
00
10
10
01
00
00
10
11
11
00
01
10
01
11
01
00
11
00
00
10
10
10
10
10
00
11
11
11
00
01
01
00
10
01
10
10
10
00
10
10
00
00
10
01
01
11
01
11
10
10
11
11
00
11
10
01
00
00
01
10
11
01
00
10
10
10
10
01
01
11
00
00
00
10
00
00
11
11
01
00
01
00
00
10
10
10
00
01
11
11
01
01
01
00
10
10
00
00
01
10
11
11
10
00
01
00
00
11
10
00
00
10
01
00
10
10
11
10
00
00
00
01
10
11
11
00
11
10
00
00
00
10
10
01
00
00
00
00
11
10
00
01
10
10
00
10
10
10
10
11
00
01
10
11
00
11
10
11
10
01
00
11
01
01
11
11
01
00
01
00
10
00
01
10
11
10
10
00
00
01
11
00
00
10
00
11
00
00
00
10
11
10
10
00
10
00
10
10
10
10
00
11
10
10
10
00
00
10
01
00
00
10
00
11
00
00
01
00
10
11
01
11
00
11
00
10
10
00
10
11
01
00
11
00
00
00
00
10
01
00
10
10
00
10
10
01
00
11
01
10
10
10
10
10
01
10
01
11
00
01
00
01
11
11
11
01
01
00
01
10
10
00
00
00
10
10
00
10
01
10
10
10
11
10
00
11
00
10
10
11
10
00
00
11
10
11
10
01
01
00
10
10
10
01
01
10
10
00
00
11
00
11
00
00
10
00
01
00
01
11
10
00
00
01
10
10
00
01
00
00
00
10
00
10
00
00
11
01
11
11
11
10
00
10
11
01
10
10
01
01
00
10
01
10
01
10
11
00
00
00
10
10
01
11
10
10
00
00
10
00
00
10
10
01
01
00
00
11
00
00
10
10
00
00
10
11
00
10
10
01
00
10
10
10
10
00
10
10
01
01
10
00
00
00
10
10
01
01
11
10
00
10
01
11
10
11
01
01
00
10
10
10
10
10
00
00
10
01
00
11
10
10
01
01
01
10
00
00
01
11
11
11
00
01
11
01
11
10
00
10
11
01
10
00
00
10
10
10
01
00
00
00
01
01
10
00
10
10
11
00
01
10
01
00
01
00
00
10
11
00
01
00
10
10
00
10
10
00
01
01
10
00
00
01
11
00
00
10
10
10
10
00
10
10
11
10
10
01
01
00
00
10
00
01
10
10
00
11
10
01
10
01
00
00
10
01
01
11
00
10
10
01
00
11
10
00
10
01
01
11
11
11
00
10
10
11
00
00
10
00
00
10
00
10
00
00
00
01
10
00
11
11
00
10
10
10
11
10
01
00
10
10
00
11
10
10
00
00
00
11
10
11
01
01
10
00
01
00
01
10
10
01
11
00
00
10
00
10
00
10
01
00
01
01
10
01
11
00
11
10
00
10
01
10
10
11
00
10
01
00
00
10
10
00
00
10
11
10
10
01
11
10
00
11
10
11
11
00
00
10
10
10
01
00
10
01
00
01
10
00
10
10
01
00
11
10
10
00
11
00
11
00
00
10
10
11
01
00
10
11
01
10
11
01
01
10
11
11
11
01
01
01
10
11
01
10
11
01
00
11
00
00
10
10
01
10
10
00
00
01
10
10
10
10
00
00
00
00
10
00
00
01
00
01
10
01
01
10
10
01
11
10
11
00
10
11
00
01
00
11
01
11
10
00
11
11
01
00
11
11
00
00
10
00
00
11
01
10
00
00
00
11
10
01
01
01
10
10
10
10
11
00
00
00
01
10
00
10
10
00
01
00
10
11
00
01
11
10
01
00
10
00
10
10
10
11
00
10
11
00
10
00
10
11
00
11
00
00
00
00
10
00
10
11
00
10
00
01
00
11
01
00
00
01
00
11
01
00
10
10
01
00
11
00
10
10
10
00
01
10
11
10
00
11
11
11
10
01
00
01
00
00
01
10
01
11
10
01
10
00
11
10
10
00
01
11
11
10
10
10
10
00
00
10
00
00
10
00
00
01
10
10
10
11
10
10
01
00
01
10
11
00
10
10
10
11
00
10
10
10
01
00
00
00
10
00
11
10
00
00
11
10
10
00
11
01
00
01
10
00
10
11
01
01
00
10
10
01
11
01
01
01
00
10
01
10
10
10
00
01
00
00
10
10
01
11
00
00
10
00
00
10
11
00
00
00
00
00
10
00
00
11
11
10
10
10
00
10
11
00
01
11
10
11
10
10
01
10
11
01
00
10
10
10
00
10
00
10
10
00
10
10
00
10
10
00
10
10
00
11
10
00
11
00
00
01
01
10
11
00
01
00
11
10
10
00
00
00
10
10
00
10
01
00
01
00
11
10
01
10
00
10
10
01
00
00
00
10
10
10
10
00
10
11
11
11
10
01
10
01
11
00
00
10
10
10
00
00
01
11
10
11
10
11
01
01
01
01
11
00
00
10
10
00
00
10
01
00
10
11
10
01
10
00
10
00
11
00
00
10
00
10
01
01
11
10
00
11
10
10
00
00
11
00
00
10
11
00
11
10
10
10
00
10
10
00
00
00
01
10
10
10
10
00
10
11
10
10
00
00
00
00
10
00
00
00
11
10
11
10
00
11
00
11
01
00
10
00
10
10
00
10
00
10
00
10
11
10
11
01
00
01
01
11
11
00
01
01
10
10
00
00
11
00
00
11
00
10
00
00
01
01
11
11
01
01
11
01
00
10
10
00
10
10
00
00
11
10
10
10
00
11
11
10
10
10
10
00
10
00
11
10
11
00
11
10
00
00
10
01
11
11
00
10
11
00
11
10
10
00
00
01
00
10
10
00
00
10
00
10
00
00
01
00
10
01
10
11
01
10
10
00
00
00
01
10
01
00
11
11
10
00
11
10
01
01
10
00
01
11
10
10
00
00
10
00
10
10
00
00
11
00
11
01
10
01
10
01
00
10
00
11
11
00
10
10
00
00
00
01
10
11
11
01
10
11
01
10
01
01
00
10
00
00
10
00
00
10
10
11
10
01
10
11
10
00
00
10
10
00
10
10
11
00
00
10
10
10
00
00
00
01
10
01
10
00
10
10
10
10
00
01
11
10
11
10
00
10
11
00
10
11
00
01
10
00
01
10
00
00
00
10
10
00
11
10
10
10
00
00
10
00
00
10
01
11
11
11
00
00
11
10
10
11
00
00
01
01
10
10
00
10
00
01
10
10
00
10
00
10
00
00
11
11
00
00
11
10
10
10
01
00
10
00
10
10
00
01
00
11
00
01
00
00
10
11
10
00
01
10
00
11
00
00
10
10
01
01
10
10
11
01
00
11
00
01
01
11
11
00
00
11
10
10
10
01
01
01
00
00
10
10
10
00
00
10
01
10
01
00
00
10
00
00
10
01
00
01
10
10
10
10
10
00
10
10
11
10
10
00
10
00
11
11
00
00
11
10
10
10
00
10
10
00
10
01
01
11
10
11
00
10
10
10
00
00
10
00
01
00
00
00
11
00
01
10
10
01
00
10
00
00
10
10
11
11
11
01
00
01
10
11
01
01
10
01
10
10
00
01
10
10
10
01
11
00
10
10
01
00
11
00
00
10
00
00
00
00
10
10
01
10
10
00
00
01
11
10
00
10
00
00
10
11
10
11
01
11
00
01
00
01
00
10
10
01
11
11
00
00
00
11
11
00
11
10
00
00
11
10
00
11
10
00
00
11
10
01
00
01
01
11
10
10
10
00
00
10
11
00
11
01
00
01
11
10
11
10
01
00
00
10
10
00
00
00
10
00
00
00
00
10
11
00
10
11
10
10
10
00
11
11
01
01
01
10
10
01
01
00
11
11
00
11
10
00
00
10
10
01
00
11
10
01
00
10
00
00
10
00
01
10
11
00
11
00
10
00
00
00
10
10
10
11
00
00
00
10
00
11
11
01
01
00
00
10
00
10
00
01
10
01
10
00
01
00
00
10
11
10
00
01
00
10
01
10
10
10
10
01
01
11
00
00
01
10
10
00
01
10
10
00
10
10
00
00
10
10
00
00
10
10
11
10
10
10
11
10
01
00
00
10
11
00
10
10
00
10
10
10
01
11
11
01
00
01
10
11
01
00
10
11
01
11
01
00
10
11
00
00
10
10
01
11
00
00
11
11
00
01
10
10
11
01
10
01
00
10
10
00
10
10
10
00
00
00
01
01
10
01
10
01
00
01
10
00
00
11
10
00
10
11
01
00
10
10
10
01
10
10
11
01
00
01
11
10
11
00
10
00
00
11
01
00
00
00
10
00
10
10
10
00
00
11
11
00
01
10
00
01
00
10
10
10
00
11
11
00
10
11
00
10
10
00
01
10
00
10
11
10
11
10
10
10
00
01
01
00
00
00
00
11
11
01
10
10
01
00
11
00
01
11
10
00
11
11
00
11
10
00
00
00
01
10
00
10
10
11
00
00
10
00
00
10
00
00
10
10
00
10
00
00
10
01
10
10
00
00
10
10
10
00
00
10
00
00
10
00
10
10
10
00
01
10
00
10
11
11
00
01
10
10
11
00
00
10
10
00
01
10
00
11
11
11
10
11
11
01
10
00
11
00
10
00
10
11
11
10
10
10
01
10
01
00
01
10
01
00
10
01
10
01
01
10
10
00
11
10
01
00
10
01
10
10
00
00
11
10
01
01
10
10
01
00
00
00
10
00
10
10
00
10
11
10
00
11
11
00
10
10
00
00
00
00
11
10
01
01
00
10
01
10
10
01
01
01
10
11
01
00
01
11
11
01
00
10
01
01
10
11
10
01
01
00
00
11
11
01
11
11
10
10
01
00
11
00
10
10
01
00
10
10
01
00
10
01
00
10
10
00
10
00
11
10
00
11
11
00
11
10
00
01
00
00
00
00
11
01
10
10
11
01
10
01
10
01
00
10
01
10
00
00
11
11
01
00
10
00
11
10
00
00
11
01
00
00
10
01
10
00
00
10
00
01
01
01
01
01
00
11
10
00
00
00
10
10
00
00
00
11
11
00
00
11
10
11
10
11
00
00
10
01
00
11
10
11
00
01
10
00
11
11
00
00
01
11
11
00
10
11
00
01
00
11
00
00
01
10
01
00
00
11
01
00
11
10
00
11
10
01
01
10
11
10
01
00
00
10
10
11
11
10
00
00
10
10
10
10
00
00
10
01
10
01
00
00
00
10
01
10
00
00
10
00
00
01
10
01
01
01
10
01
11
00
01
11
10
10
01
10
11
00
10
11
00
11
00
11
00
10
10
00
11
11
01
10
10
10
10
01
01
00
00
10
10
01
11
00
10
00
01
00
10
10
10
00
01
10
00
01
10
11
00
00
10
00
01
10
01
00
11
10
10
10
10
10
01
11
01
00
11
10
10
01
00
10
00
01
11
00
00
11
10
00
01
11
10
10
00
10
00
00
00
00
10
10
11
10
00
10
00
11
10
10
00
11
00
11
11
11
11
01
00
00
10
00
10
00
10
10
00
10
00
11
00
10
11
00
10
00
10
01
01
10
10
00
00
00
00
11
00
00
10
00
11
01
11
10
00
10
10
00
01
10
10
00
01
00
00
00
10
00
01
10
10
10
10
00
00
01
10
10
00
00
10
11
10
00
01
00
01
10
11
10
01
01
10
00
00
10
10
10
00
01
01
01
00
10
01
11
01
01
10
11
00
10
10
00
01
00
01
01
11
11
01
11
00
00
10
10
00
01
11
00
00
00
00
10
00
00
11
10
01
00
10
10
10
00
10
00
10
00
10
01
00
10
01
10
10
10
11
00
00
00
10
01
10
10
10
10
01
00
00
11
10
01
00
00
10
10
00
00
10
10
00
00
00
00
00
10
10
10
00
01
00
10
00
11
00
00
00
11
10
00
00
00
10
01
10
11
01
10
11
00
10
00
10
10
00
00
10
00
00
11
11
11
00
10
00
00
00
00
10
10
10
00
10
10
10
00
00
01
00
10
00
11
10
10
10
10
10
00
10
01
00
10
11
00
00
00
11
00
11
10
00
00
10
10
00
01
10
11
10
00
11
00
01
00
00
11
01
10
11
00
01
10
00
11
10
00
11
10
10
11
10
00
00
10
10
00
00
10
10
10
11
00
00
10
10
01
11
10
00
01
11
00
00
10
01
10
11
10
10
10
00
00
11
10
01
00
10
00
11
10
10
11
00
00
11
11
00
10
01
01
10
10
01
00
00
10
10
01
10
01
00
01
10
10
11
11
10
01
10
01
01
10
11
10
10
00
10
10
00
00
00
10
10
00
00
10
00
01
00
11
00
01
11
00
00
10
11
00
10
10
00
10
11
00
10
10
10
10
11
00
00
11
11
00
00
10
10
01
01
11
10
11
11
10
01
10
01
00
11
10
01
10
00
11
10
00
00
01
00
00
10
01
10
11
10
00
00
10
10
10
11
00
10
10
10
11
00
11
10
10
00
01
10
00
10
10
01
11
00
00
00
11
10
00
10
00
00
10
00
00
11
10
01
00
00
00
00
10
11
00
00
10
01
00
11
00
11
00
01
00
11
01
01
10
00
00
10
01
00
00
00
10
11
00
11
11
10
01
00
00
10
01
01
10
11
00
11
10
01
10
10
00
11
01
00
11
00
10
10
00
11
11
11
01
00
10
10
10
00
01
10
11
01
00
00
10
10
01
00
10
00
01
00
10
10
00
11
00
00
10
10
01
10
00
00
01
00
01
10
11
00
11
11
00
10
00
11
10
10
00
10
10
10
00
00
01
01
00
11
11
11
10
00
00
10
11
01
00
10
10
00
00
10
10
10
00
00
00
10
10
11
00
10
00
10
11
00
00
00
01
11
01
00
11
10
01
10
01
10
10
10
10
00
01
10
10
11
00
00
00
00
11
00
00
00
11
11
00
00
10
00
00
11
10
00
00
00
10
11
00
01
01
11
00
11
00
10
10
00
10
10
01
10
00
00
00
10
10
00
10
00
00
00
01
10
00
01
10
11
01
01
11
00
10
11
10
00
00
11
10
01
00
01
01
10
00
10
11
00
10
10
10
00
11
10
00
00
00
00
00
11
00
10
10
00
10
10
00
00
00
00
00
00
10
10
10
10
01
01
11
11
01
01
10
00
00
11
10
10
01
00
11
11
00
10
01
00
11
00
10
00
01
00
10
10
00
10
00
00
11
10
00
11
00
00
10
10
01
11
00
01
10
01
00
01
01
11
11
10
10
01
10
11
01
00
10
11
00
10
00
00
10
00
00
11
10
11
01
01
00
10
10
00
00
01
10
00
00
00
00
11
00
10
11
10
11
00
11
00
00
11
10
01
00
00
10
10
00
10
00
00
01
10
00
10
11
00
10
01
00
00
11
01
10
00
00
10
10
10
11
00
01
00
00
00
00
11
00
10
10
11
00
01
00
10
00
10
10
10
10
01
00
11
00
00
00
10
01
11
10
00
11
10
10
11
10
10
00
10
01
01
10
11
01
01
00
00
00
10
10
00
10
10
00
00
01
11
01
01
10
01
00
10
00
11
00
00
10
11
10
10
10
01
10
11
10
11
00
01
00
11
10
00
00
10
01
00
11
10
01
01
11
00
01
11
11
00
00
00
11
10
00
00
10
00
00
00
00
00
01
10
11
11
00
10
10
11
11
11
00
00
01
01
10
00
01
11
01
10
11
01
10
10
00
01
11
11
00
00
00
01
10
00
10
10
00
10
00
01
10
01
01
01
10
11
10
00
00
11
11
11
10
01
00
11
00
01
10
10
11
11
10
01
10
11
00
00
00
00
00
11
11
01
01
00
10
00
00
11
10
00
00
00
00
11
10
01
00
11
01
00
00
10
00
01
10
10
00
11
10
01
10
00
00
00
11
01
11
11
11
00
00
01
10
01
00
10
10
11
00
01
01
10
11
10
00
10
11
01
01
00
10
11
00
11
10
00
00
01
10
01
10
10
10
01
10
10
10
01
11
11
10
01
00
00
10
00
01
11
10
00
00
11
01
10
10
00
00
10
01
00
00
10
00
00
01
11
10
01
11
11
00
00
10
00
00
11
10
00
00
10
01
00
00
00
00
10
10
00
00
01
01
10
11
10
01
01
00
00
10
11
00
00
00
10
10
10
10
01
01
00
10
10
01
00
00
00
00
11
10
10
01
00
01
11
00
10
01
01
00
10
11
01
01
01
10
00
00
00
01
10
11
10
00
01
10
00
10
00
01
00
00
11
00
10
00
10
10
10
00
00
10
11
00
10
11
10
01
10
11
11
00
10
10
10
00
10
10
11
10
10
00
00
01
11
00
00
10
00
10
10
01
01
10
00
10
11
00
00
00
11
10
10
10
00
11
00
10
10
10
01
00
00
00
10
10
10
10
01
00
10
01
01
10
10
01
10
10
00
00
00
10
00
00
10
00
11
00
10
11
00
10
10
10
01
00
00
00
10
00
10
00
10
00
10
00
10
11
11
00
00
10
11
01
00
01
10
11
00
00
11
11
00
00
11
10
10
10
00
01
00
10
10
00
10
11
01
00
10
00
00
00
11
00
01
10
11
10
01
00
00
10
00
00
11
10
10
00
00
00
00
01
10
01
00
10
10
10
01
01
00
11
11
10
00
00
00
01
00
11
11
00
11
01
00
10
01
01
01
10
10
01
10
11
11
01
01
11
10
00
10
11
01
00
11
10
10
00
00
00
11
01
00
11
10
11
01
01
11
00
10
11
10
00
11
10
00
10
10
10
10
00
00
00
11
01
00
10
00
11
00
10
00
00
10
11
10
00
11
10
00
10
00
10
00
01
00
10
11
00
00
10
10
01
00
01
10
10
10
11
00
10
00
00
00
11
10
10
00
11
01
01
00
00
00
11
00
11
10
00
00
10
10
10
00
00
00
00
00
11
10
10
10
00
11
10
01
00
01
00
10
10
10
10
01
00
01
11
10
00
00
10
10
11
00
00
10
00
01
01
00
10
11
00
01
00
10
10
10
00
10
10
01
11
10
00
10
11
10
11
01
01
10
10
00
00
01
01
10
10
11
00
10
10
01
01
10
10
10
10
00
01
00
10
00
00
00
00
00
00
01
10
00
11
01
11
01
11
10
01
11
11
01
10
00
00
10
10
01
00
10
11
10
10
10
10
00
11
10
01
01
10
11
00
01
01
01
11
00
01
00
11
11
00
00
10
11
10
00
10
10
10
00
00
00
00
10
11
00
00
10
00
00
00
10
00
00
10
10
11
11
00
00
10
10
00
11
00
00
11
11
11
11
11
10
11
11
00
10
00
00
00
00
11
10
01
11
01
00
11
10
01
10
11
01
00
11
10
00
10
01
00
10
00
00
00
10
10
00
11
10
00
01
10
01
10
11
01
10
01
11
01
10
00
10
11
01
00
11
11
11
10
00
01
10
11
00
01
00
10
10
00
10
11
10
10
11
10
00
01
10
00
10
10
01
11
10
10
00
11
00
01
10
01
10
10
10
10
00
00
00
10
01
10
11
00
01
01
01
00
11
01
10
10
00
10
01
01
00
11
01
11
11
00
10
10
01
00
11
11
00
11
00
00
11
10
10
10
01
00
10
10
10
01
10
00
00
10
11
11
00
00
11
10
10
11
11
10
00
00
11
10
10
10
00
00
10
10
00
00
10
01
11
11
10
01
10
00
01
10
11
10
01
00
00
01
11
00
00
10
00
10
10
01
00
10
10
01
00
11
00
10
01
10
10
00
00
10
10
00
01
00
10
10
11
10
00
10
10
01
01
00
11
11
01
10
11
00
11
10
10
01
00
10
00
10
10
10
01
00
11
01
11
11
00
00
11
10
00
00
10
10
00
01
10
01
01
00
10
00
00
10
00
01
10
10
10
00
10
10
01
00
00
01
11
00
00
00
10
11
11
01
01
11
10
00
10
11
00
00
11
10
11
00
01
10
11
10
10
00
00
01
00
10
11
00
00
11
10
10
10
01
01
00
01
00
00
00
10
11
10
00
10
01
00
10
11
10
00
10
10
10
10
00
00
10
10
01
10
10
01
11
00
10
10
01
01
00
10
10
00
00
00
00
10
01
00
11
11
11
01
10
10
00
01
00
00
10
10
01
10
00
00
01
10
10
00
11
11
10
01
01
01
00
00
00
10
00
00
10
10
00
01
00
10
10
00
10
10
10
11
00
11
10
11
01
00
10
10
10
10
01
00
00
01
11
10
11
10
00
10
00
11
01
10
10
10
11
11
10
00
00
10
11
10
00
00
10
00
10
11
10
00
00
00
00
11
10
10
10
00
11
00
10
11
01
00
00
01
11
01
00
01
11
11
11
10
00
00
01
10
00
01
11
10
10
10
00
01
11
11
11
00
00
11
10
01
01
10
11
10
00
10
00
00
00
10
10
11
00
00
00
10
00
11
00
00
00
10
10
00
11
11
10
00
11
00
00
00
10
11
01
00
00
11
11
10
10
00
00
01
00
10
00
01
00
00
10
00
00
00
00
00
11
10
01
00
10
10
00
00
11
00
00
11
10
11
00
10
10
00
00
10
00
01
00
10
00
00
10
10
11
10
11
00
00
10
01
00
01
00
10
11
10
00
00
00
10
00
00
00
10
11
00
10
01
01
11
00
01
01
10
00
00
11
10
10
00
11
10
11
00
11
01
11
11
10
10
01
00
01
00
10
10
00
10
00
10
10
11
01
10
10
00
10
00
00
01
01
10
00
10
11
01
00
00
11
10
10
00
10
11
00
00
11
10
01
10
01
00
00
11
01
01
10
01
10
10
10
01
01
10
10
01
00
10
10
01
10
00
10
10
01
10
00
00
00
10
10
10
11
00
10
01
00
01
00
10
01
00
00
10
11
00
10
11
10
01
00
10
00
01
01
10
11
00
01
00
00
00
11
10
11
10
10
00
00
11
11
01
01
01
01
00
00
10
11
11
00
01
11
11
01
10
10
00
00
10
10
00
00
10
00
00
10
01
01
00
00
00
10
10
11
10
10
01
01
00
10
00
01
00
11
10
01
11
00
00
10
01
00
00
10
10
11
10
00
00
01
00
10
01
00
01
11
00
10
01
10
10
00
01
01
01
11
11
11
00
00
00
11
10
00
00
11
00
10
00
00
00
10
00
10
10
00
10
10
01
00
00
11
11
00
11
00
10
11
00
00
01
00
10
10
11
10
11
00
10
00
01
11
01
10
00
00
00
11
00
00
11
11
01
00
01
11
10
00
00
00
11
00
10
10
10
00
00
10
00
10
10
00
10
00
00
11
10
11
00
11
11
10
10
01
01
11
00
01
10
01
10
10
01
00
11
10
11
00
10
00
10
01
11
11
01
00
11
00
11
00
11
11
00
11
00
10
10
10
10
00
01
10
11
00
01
01
11
10
01
11
11
00
00
10
10
00
10
01
01
00
11
10
00
01
00
10
11
10
01
01
00
00
00
10
11
10
00
00
11
10
11
10
11
11
10
10
00
01
00
01
10
10
00
10
00
00
11
10
00
10
10
10
11
00
10
11
00
10
00
10
00
01
00
10
10
10
10
01
01
10
10
00
10
01
10
10
01
00
11
10
11
00
00
10
01
00
00
10
11
00
00
00
10
10
01
11
00
00
00
00
00
10
10
00
00
00
10
11
10
10
10
10
00
10
01
00
00
00
00
00
11
00
01
10
11
11
00
10
10
01
00
00
01
11
10
10
01
00
10
11
01
11
10
10
00
00
01
10
11
00
00
11
10
11
00
01
10
10
01
01
00
01
00
10
10
10
00
00
10
10
00
01
10
00
10
10
11
10
00
00
11
11
00
11
00
11
10
10
00
01
00
10
00
00
00
00
00
10
10
01
10
10
10
00
11
01
01
00
00
10
00
01
10
11
01
10
00
00
10
10
10
00
00
11
10
00
00
01
00
01
10
11
01
11
01
10
11
00
10
11
00
11
10
01
00
11
00
11
00
10
00
00
00
10
00
01
11
01
10
10
00
00
11
11
10
10
00
01
00
00
00
11
10
00
10
00
10
11
00
00
10
10
10
11
10
01
01
10
10
11
10
00
11
11
11
00
00
10
10
10
11
10
00
10
01
11
00
00
01
00
10
11
01
00
10
00
00
01
01
11
10
10
00
11
10
11
00
11
01
10
10
11
11
00
00
00
01
10
11
01
10
00
00
00
00
01
01
10
10
00
00
01
01
00
10
10
11
11
00
10
01
10
01
00
10
00
10
00
11
00
00
10
00
00
11
10
11
00
10
10
01
01
00
01
11
11
00
01
00
11
00
10
10
00
10
10
00
10
00
10
10
01
10
10
11
01
00
10
00
00
11
10
00
10
11
01
00
11
10
10
10
00
01
10
10
01
00
10
11
11
10
00
10
00
10
10
10
11
10
11
10
00
00
01
00
00
10
11
11
00
00
10
01
00
10
00
10
00
00
01
01
01
11
01
10
11
10
00
10
10
00
01
00
11
11
01
10
11
00
00
00
11
01
00
11
11
00
10
11
00
00
10
11
00
00
10
01
00
00
11
10
10
10
10
10
00
00
00
00
00
00
10
01
10
10
10
00
10
11
11
00
11
00
00
11
10
10
00
11
11
10
11
01
00
01
10
01
11
10
00
01
11
10
10
00
10
10
00
00
00
11
01
00
10
10
01
00
00
00
10
00
00
00
00
10
00
11
10
00
00
01
10
11
11
10
11
00
10
00
00
10
10
00
01
10
00
01
11
00
01
10
11
10
00
01
10
10
10
00
00
00
00
01
11
11
01
10
01
10
11
00
10
00
00
00
10
10
01
10
10
01
00
11
01
10
10
00
00
01
10
11
01
00
10
00
11
01
11
10
00
10
10
10
11
00
00
11
01
00
00
10
11
10
00
01
01
10
10
00
00
11
10
10
00
00
10
01
00
00
01
00
10
01
10
11
11
00
11
00
10
00
11
10
01
11
10
10
10
00
01
01
00
10
01
00
11
10
10
00
00
10
10
00
11
00
00
00
10
10
11
01
00
01
00
10
00
10
10
01
10
10
00
00
00
11
01
00
11
01
10
11
00
00
10
11
00
00
11
10
11
10
11
00
00
00
10
00
00
10
10
10
01
00
10
00
10
10
01
00
01
11
10
01
10
11
01
10
10
10
00
10
01
00
00
11
00
01
01
00
10
11
00
01
10
11
10
01
00
11
00
00
10
01
00
10
11
01
00
11
10
10
10
00
01
10
11
01
10
01
10
00
00
00
10
10
10
00
11
00
01
11
00
01
10
11
00
00
11
00
00
11
10
00
10
10
01
01
01
10
11
00
10
00
10
01
00
10
01
01
11
11
00
10
00
10
00
00
10
10
01
01
10
11
01
01
11
11
01
00
10
00
11
10
00
10
01
00
00
01
10
10
01
00
10
10
00
00
00
00
10
00
10
01
10
11
10
10
11
11
01
00
00
10
00
10
11
10
00
00
10
10
00
01
11
10
01
10
00
10
01
00
00
00
10
01
00
00
00
10
10
10
01
10
00
10
10
10
11
00
11
00
10
11
00
10
10
00
00
00
10
10
10
10
11
11
11
10
01
00
00
10
10
00
00
00
10
01
00
11
00
01
10
01
00
00
00
10
01
10
10
00
00
10
00
00
10
11
10
01
10
10
00
00
01
10
00
10
11
10
10
10
00
10
00
00
11
11
01
10
11
10
10
10
01
01
10
10
00
01
00
01
00
10
01
00
11
11
11
00
00
10
00
01
10
01
00
00
11
11
11
10
11
00
10
01
01
11
10
00
01
10
11
00
01
10
00
00
10
10
00
01
11
10
10
00
00
10
00
10
11
00
10
00
00
10
11
00
00
10
11
00
00
11
10
11
01
10
00
01
00
10
11
11
10
01
00
00
00
10
01
10
01
00
10
10
00
00
10
00
00
01
11
10
10
00
10
11
00
01
00
00
00
00
10
10
00
00
10
10
10
10
10
01
10
00
10
11
00
10
11
10
00
01
10
10
01
00
01
10
11
00
10
11
10
10
00
01
11
10
11
00
00
00
01
00
10
10
00
00
00
00
00
01
11
00
10
10
10
10
00
01
10
11
01
10
10
00
00
00
10
11
00
11
00
10
11
11
00
00
00
10
10
00
00
00
11
00
10
00
10
10
10
00
10
00
11
11
10
00
01
10
10
01
10
00
00
00
01
10
01
00
10
01
11
01
01
01
10
10
00
10
10
00
10
11
00
10
10
00
11
00
00
01
10
10
00
11
10
01
00
01
01
00
11
10
11
00
00
10
11
10
01
10
00
10
10
11
11
00
10
01
00
01
10
11
01
00
10
10
10
00
00
10
00
11
10
01
00
00
10
00
10
01
01
11
00
00
00
01
01
01
10
10
01
10
10
00
11
10
01
01
01
01
00
00
10
10
00
00
10
10
10
00
00
00
11
10
10
00
10
00
00
10
11
00
11
11
00
00
00
11
01
10
10
10
00
10
01
01
11
10
11
11
00
00
00
01
10
10
11
01
11
01
10
11
00
10
00
11
10
01
11
11
00
00
00
10
10
00
11
00
01
01
00
00
01
10
00
00
11
10
11
01
10
00
10
10
11
00
00
11
00
11
01
01
10
10
01
01
00
01
01
10
01
10
10
01
01
01
10
11
00
00
01
10
11
01
00
10
10
00
01
11
11
00
00
00
00
10
11
01
11
10
00
10
00
00
00
10
11
01
11
10
10
01
01
11
00
01
11
01
10
10
10
01
00
01
10
11
00
00
01
10
00
01
10
00
10
00
01
10
10
01
01
10
11
00
00
11
10
10
01
10
10
01
01
10
00
00
10
00
00
01
10
01
01
01
01
10
01
00
01
10
01
01
10
10
00
10
10
00
00
10
00
00
11
01
00
01
10
00
00
01
11
00
01
10
11
00
00
00
10
00
00
11
10
01
00
01
00
11
10
11
00
01
10
11
00
00
00
11
10
00
01
10
01
10
10
00
00
10
10
00
00
10
00
11
10
00
10
00
00
01
00
10
11
10
01
01
10
00
10
01
10
01
01
10
00
00
00
00
11
10
01
10
01
01
00
11
00
10
01
00
10
10
00
00
11
00
00
10
00
00
11
00
01
11
00
11
10
00
10
11
01
11
11
00
10
00
11
10
01
00
10
10
10
00
10
10
10
11
10
00
00
11
00
00
11
00
00
00
01
10
10
01
11
10
11
00
00
00
01
10
00
10
11
01
01
01
11
00
10
00
00
10
10
01
10
10
00
11
00
10
10
10
00
00
00
01
00
10
10
00
10
00
10
01
10
11
01
10
01
10
11
00
00
01
10
01
10
00
00
10
11
10
01
01
11
00
10
10
00
11
10
11
01
00
10
01
01
00
01
10
00
01
11
10
00
00
11
00
01
10
10
00
01
00
10
01
11
00
10
01
10
10
11
01
00
11
10
10
00
00
00
10
10
01
10
01
01
10
00
10
00
10
01
01
10
00
10
11
00
11
10
00
00
11
10
10
10
11
01
11
00
10
01
01
11
10
10
00
10
00
00
10
10
01
01
10
00
00
11
10
10
11
01
00
10
00
00
00
11
01
00
00
01
11
10
00
11
00
01
00
00
10
00
00
11
01
10
11
00
10
00
00
00
00
10
10
10
10
00
00
10
10
00
10
01
01
11
00
00
10
01
00
00
10
00
00
10
00
01
10
11
00
00
00
11
10
10
00
00
10
11
10
11
10
00
10
10
01
00
00
10
10
00
00
00
11
01
10
00
01
01
01
10
01
11
10
00
11
00
00
01
10
10
11
01
00
11
00
11
00
10
10
01
01
00
01
11
10
10
10
10
10
01
00
10
10
00
01
10
00
00
01
11
10
10
11
11
00
11
10
00
00
00
10
10
10
01
10
10
01
10
00
00
00
11
10
11
11
01
01
11
01
10
01
00
10
01
00
10
10
00
10
11
00
00
10
10
10
11
01
00
00
11
10
10
10
10
01
00
10
11
10
11
11
10
11
00
00
10
01
00
01
01
11
00
11
00
10
00
01
01
11
11
00
10
01
00
00
11
00
01
11
00
11
10
10
11
10
00
11
10
11
11
00
10
01
11
00
00
10
00
00
00
10
10
00
00
10
10
10
01
00
00
11
10
01
00
01
11
10
00
00
01
00
10
00
01
10
10
00
10
00
10
11
11
10
01
00
01
00
00
10
01
00
10
00
10
00
01
10
01
00
10
10
00
00
11
00
00
11
11
00
10
11
00
01
10
10
00
01
11
00
11
10
10
10
10
00
10
10
00
01
11
11
01
00
10
10
11
00
00
10
01
00
01
01
10
10
00
10
10
01
11
00
01
10
10
01
01
01
11
10
00
10
10
11
00
10
10
00
11
11
01
10
00
01
10
11
00
11
10
01
00
10
10
00
10
00
10
10
00
10
00
01
00
01
00
00
00
11
00
01
00
01
00
11
00
01
10
11
11
11
10
11
10
00
11
11
01
01
00
10
10
10
11
10
01
00
00
10
00
00
00
00
10
11
10
01
10
11
10
01
00
01
01
01
00
10
10
10
01
00
10
11
10
00
00
11
01
10
10
10
01
00
10
11
10
01
00
10
11
10
00
00
00
11
00
00
10
00
00
00
00
00
01
10
01
00
10
10
00
00
11
00
00
10
10
10
11
11
00
10
10
01
00
01
10
01
00
10
10
00
10
11
00
11
11
11
11
10
00
10
01
01
11
11
01
11
11
10
01
00
00
11
10
01
00
10
11
10
00
00
11
10
01
10
01
10
10
01
11
00
00
10
10
10
00
01
10
11
00
11
00
10
00
01
10
11
01
10
10
11
10
00
10
10
01
00
10
00
10
11
00
00
00
01
10
10
00
11
11
01
01
10
10
01
10
01
00
11
10
00
01
10
10
00
00
10
00
01
00
10
01
00
00
00
10
10
00
01
10
00
00
00
00
00
10
10
10
01
10
00
00
00
00
00
10
10
00
10
00
01
10
10
11
00
11
00
01
10
10
00
10
01
01
00
01
00
01
00
10
11
11
11
00
00
01
00
11
11
00
00
10
10
10
00
01
00
10
10
00
10
00
01
00
11
00
10
10
10
00
10
10
01
10
11
00
00
10
10
00
10
00
00
01
00
10
10
11
10
10
10
00
11
10
00
00
11
01
01
10
00
00
10
10
11
10
01
00
10
01
11
10
10
00
01
00
10
10
00
00
00
00
10
00
00
10
00
10
11
11
00
00
00
10
00
00
10
00
11
10
01
00
11
00
01
10
00
10
11
01
00
00
10
01
00
01
00
11
00
00
11
11
10
00
01
10
01
00
01
11
01
00
00
10
10
10
01
00
10
10
01
11
10
11
00
00
10
11
11
00
00
10
10
10
11
10
00
10
10
00
00
00
10
10
00
01
00
11
01
01
01
11
00
00
00
11
10
10
00
10
10
01
00
01
10
00
01
11
10
00
01
10
10
10
10
00
11
10
00
11
10
11
11
10
00
10
01
00
01
00
11
10
11
00
00
11
11
00
10
11
01
10
01
00
10
01
10
00
00
10
10
01
10
01
10
00
01
10
00
01
00
00
01
00
00
01
00
10
00
00
10
11
10
10
00
10
00
11
00
00
00
00
01
10
01
11
11
00
01
10
01
00
10
10
00
11
10
10
00
10
01
10
11
10
01
01
11
10
01
00
11
00
10
10
00
00
11
10
10
10
01
00
10
11
01
10
10
00
10
01
10
10
00
00
11
11
01
01
11
01
01
00
00
11
11
10
01
11
11
10
01
00
10
00
01
10
11
10
11
10
10
00
01
00
10
10
00
10
10
00
10
00
11
11
10
10
00
00
00
00
00
01
01
00
11
10
00
00
00
01
10
10
01
00
01
10
00
10
10
10
01
10
11
01
11
10
00
01
10
10
00
00
11
10
00
00
10
11
11
01
01
01
10
10
10
11
00
00
10
10
10
10
00
01
11
01
11
01
10
10
10
10
00
00
11
10
01
10
00
01
10
11
10
10
00
10
01
10
01
00
00
00
00
10
10
10
01
11
10
10
11
00
10
10
11
00
00
10
11
10
10
11
10
01
01
01
01
11
11
01
10
10
00
00
10
10
10
00
00
11
10
11
00
10
01
10
10
01
10
11
10
11
10
10
00
10
01
00
01
00
00
00
11
10
10
00
00
00
10
00
10
11
10
10
01
10
00
00
00
10
00
11
00
10
01
00
10
10
10
00
00
00
10
10
00
10
10
01
10
00
11
01
10
10
10
01
00
10
11
01
00
10
10
00
10
00
10
10
00
10
00
00
11
00
01
01
00
11
11
10
10
11
00
00
10
11
00
10
11
10
11
00
00
11
10
11
11
01
00
00
01
10
11
00
01
00
10
00
00
00
11
00
01
11
11
10
00
00
10
00
01
01
10
10
11
00
01
10
00
01
11
01
11
11
10
00
00
11
01
01
10
10
11
11
00
00
10
10
11
11
10
01
10
00
01
11
00
00
00
00
11
10
10
10
00
00
11
00
10
01
00
10
10
10
00
00
00
00
01
10
10
00
10
10
00
11
10
11
00
00
10
00
10
00
00
11
11
10
01
00
01
10
00
00
01
10
11
10
00
11
10
00
00
11
10
00
11
00
10
11
00
11
10
00
01
00
10
11
01
10
11
00
10
01
00
10
01
00
11
00
00
00
00
11
00
00
10
01
10
00
01
01
00
10
10
01
10
10
10
00
01
10
11
01
01
10
01
10
00
00
11
10
11
00
11
01
11
00
00
00
11
11
01
11
00
00
10
01
00
10
10
01
00
00
10
10
10
01
01
11
11
00
00
11
11
01
01
11
10
00
01
10
00
00
01
10
00
10
00
00
00
10
11
01
10
00
01
10
01
10
10
10
10
00
10
10
00
11
10
10
01
10
00
10
00
00
00
00
10
10
00
10
00
11
00
10
10
00
10
00
00
01
10
01
00
11
11
11
01
00
00
00
11
11
00
00
00
10
10
01
10
01
01
10
10
10
01
00
10
11
01
00
00
10
11
00
01
00
10
11
00
01
10
00
10
10
00
11
10
00
00
10
10
00
10
00
00
10
00
10
10
10
11
11
11
00
00
01
00
11
10
00
00
00
10
10
10
00
11
10
00
11
11
00
00
10
01
00
11
00
00
10
10
01
10
10
00
11
10
10
10
00
00
10
10
01
10
00
10
01
10
00
11
10
11
00
00
00
10
00
00
01
11
01
00
01
00
11
01
01
10
00
10
10
00
11
10
10
00
01
00
00
00
00
10
11
10
11
00
00
11
00
00
10
10
01
00
11
01
10
10
00
00
11
00
00
11
10
11
01
10
01
01
00
10
10
00
10
10
01
10
11
00
01
00
11
01
00
10
00
01
10
01
10
00
10
11
00
10
10
01
10
10
01
10
10
10
11
00
01
10
00
00
01
10
10
10
01
11
00
00
10
00
11
00
01
10
10
01
00
11
10
01
00
00
01
10
10
01
01
10
10
00
01
00
01
01
10
10
00
01
01
10
00
11
11
01
10
11
00
10
11
00
01
10
11
00
10
00
11
10
00
10
10
10
01
11
10
11
10
01
11
01
11
10
00
00
00
00
11
10
00
00
01
10
10
11
10
01
10
00
00
01
00
10
01
00
10
00
01
10
00
01
01
01
00
00
10
00
10
11
00
00
11
01
10
11
11
01
01
11
11
10
10
01
00
11
10
01
11
01
10
10
01
00
00
10
00
00
00
11
11
00
00
10
10
10
00
00
11
10
01
11
11
00
10
10
10
00
10
00
00
00
00
10
00
00
11
10
00
10
01
00
10
10
11
00
11
10
10
00
00
00
10
11
00
01
10
10
01
00
10
10
10
01
10
01
01
11
00
00
00
10
10
00
00
10
00
00
01
00
00
11
00
00
10
01
10
00
00
10
11
01
01
01
11
10
10
11
01
10
10
00
10
10
10
00
01
10
10
10
10
10
10
10
01
00
10
10
10
00
11
11
00
01
01
00
10
10
10
10
00
00
00
10
10
00
10
00
00
00
10
11
10
01
10
01
10
11
01
00
00
00
00
10
11
00
01
10
00
10
10
00
01
11
10
00
11
00
10
10
00
11
00
00
11
00
00
10
11
11
11
01
01
11
11
00
10
10
00
00
00
10
11
00
10
11
00
00
00
10
01
10
10
01
11
10
11
11
10
10
01
11
11
10
11
00
00
01
10
11
01
01
01
00
00
01
10
11
10
00
00
00
11
01
10
10
10
10
01
11
10
10
10
10
10
11
01
01
10
10
00
10
10
10
00
00
10
00
00
10
01
10
01
10
10
00
10
00
11
01
00
10
10
00
01
10
00
01
10
01
10
01
10
00
00
01
00
10
00
10
00
00
11
10
00
01
01
10
01
11
11
00
00
00
10
10
00
11
10
00
10
00
10
01
10
10
00
00
10
10
10
10
11
01
01
00
00
01
00
10
10
00
01
10
10
00
00
00
00
10
11
00
01
11
01
11
10
10
00
00
11
10
00
00
00
00
00
00
01
11
11
00
01
10
11
10
01
00
11
10
01
00
10
00
11
10
01
11
11
10
01
10
01
01
10
10
10
10
00
10
10
11
11
11
00
10
01
01
00
11
00
10
11
10
01
10
00
00
00
00
10
01
00
10
11
01
00
00
10
10
11
11
00
01
11
00
01
10
11
10
00
00
00
11
10
10
10
10
10
00
10
10
10
00
00
10
00
11
11
11
11
10
10
10
00
10
11
00
11
00
11
11
00
01
11
11
01
10
10
10
10
00
00
10
01
00
10
00
10
11
01
00
00
00
11
00
01
10
10
00
01
01
00
11
00
01
01
01
10
10
00
11
10
01
01
00
11
10
10
01
10
00
10
10
00
10
00
00
00
00
00
00
11
00
10
00
00
10
10
10
01
10
10
00
00
11
10
11
00
01
10
00
00
11
11
00
01
10
00
10
11
10
10
00
00
10
10
01
01
10
11
01
01
11
01
11
10
10
01
11
10
00
00
10
01
01
11
00
00
10
00
00
10
10
00
00
11
01
10
00
10
01
01
11
10
00
01
10
11
01
01
11
00
00
10
01
10
11
00
01
00
00
11
11
00
10
01
00
10
00
00
10
01
10
10
00
00
10
10
01
10
10
10
01
00
11
00
11
00
00
00
10
00
00
11
10
00
01
10
01
10
11
00
10
10
01
10
10
10
00
00
10
00
01
01
01
10
10
01
00
01
10
00
01
10
10
01
00
11
11
00
01
10
10
11
10
01
00
00
01
11
00
11
10
01
10
01
11
10
00
00
10
11
00
00
11
10
00
01
11
10
01
10
11
10
10
10
00
11
10
00
01
11
10
00
00
00
00
10
11
10
11
11
10
10
11
00
00
00
10
00
00
11
00
10
10
00
10
01
01
11
10
11
00
00
00
10
11
00
01
10
00
00
00
10
10
10
00
00
10
10
10
10
00
00
01
11
00
10
01
10
10
10
00
00
01
01
11
11
00
10
00
10
11
10
00
00
11
00
11
00
00
01
10
10
10
01
00
10
11
01
11
10
10
01
00
11
10
10
00
10
00
01
10
10
00
00
00
00
00
00
11
00
11
10
00
10
10
11
01
10
11
10
10
00
00
00
01
10
11
01
11
00
10
00
00
01
10
11
00
00
10
10
10
00
10
10
00
11
00
00
10
10
10
00
00
11
01
00
01
00
00
10
10
10
10
00
10
01
01
00
10
00
01
00
00
10
11
10
01
11
00
11
00
10
10
10
00
00
00
11
10
00
00
10
11
10
10
00
11
00
00
10
10
00
01
00
10
10
01
11
00
10
10
00
10
01
11
10
01
11
10
00
00
10
01
00
00
11
00
10
00
01
10
11
01
00
00
01
00
10
01
00
10
01
00
10
11
11
00
10
10
00
00
10
11
01
00
00
00
00
10
10
00
11
11
00
00
10
11
10
01
00
10
00
01
11
11
00
00
00
10
10
01
00
00
10
11
11
01
01
11
11
10
00
00
11
10
10
00
01
10
11
10
00
00
10
00
00
00
10
00
11
10
10
00
10
10
00
00
00
01
00
11
10
01
00
00
10
01
01
10
10
00
10
01
10
10
10
10
10
10
11
00
01
00
01
01
10
10
01
01
01
01
11
10
10
10
10
00
00
01
11
01
01
10
10
10
00
11
11
01
11
10
01
11
10
00
00
00
10
10
00
01
11
11
00
11
00
01
01
11
10
01
00
01
00
01
11
10
00
00
01
11
00
00
10
11
00
01
10
10
10
00
00
10
11
00
00
10
01
01
01
00
10
10
10
10
00
01
10
10
00
01
00
01
11
10
00
00
10
00
01
00
00
10
11
10
10
10
00
10
10
10
00
10
10
00
00
01
00
00
11
10
00
00
00
01
00
11
00
10
11
00
10
00
01
10
10
11
10
00
10
10
00
11
00
00
11
00
01
10
00
00
10
01
00
01
10
00
00
10
11
00
11
00
10
10
10
11
00
01
10
10
10
11
00
11
01
00
11
01
00
01
01
10
10
00
00
00
00
10
10
00
00
00
10
01
00
10
10
10
00
11
00
10
00
11
10
10
11
11
00
00
10
01
10
01
01
10
01
01
10
01
11
11
01
11
11
11
00
10
01
01
10
01
00
10
00
00
10
01
01
11
10
10
00
11
10
00
00
10
00
10
00
10
01
00
11
01
01
00
11
00
10
01
00
00
10
11
01
11
10
10
00
10
10
01
00
11
01
01
11
10
10
00
00
11
10
00
00
10
11
10
01
10
00
00
00
01
00
11
11
00
10
00
10
11
10
10
00
00
10
00
00
10
10
10
00
10
11
00
00
10
11
01
01
00
10
00
01
10
01
10
10
00
00
01
01
10
10
00
10
00
00
11
11
00
00
00
00
00
00
10
01
01
10
00
00
11
11
10
10
10
11
00
10
11
01
00
00
00
10
01
01
00
11
10
10
00
10
11
11
11
01
11
10
10
00
00
11
01
00
11
01
10
01
01
00
10
10
00
00
01
10
00
01
10
11
00
10
10
11
10
00
00
11
01
10
11
00
10
11
00
00
00
11
10
10
00
11
00
00
11
11
00
10
00
00
10
11
00
11
00
10
01
10
10
11
00
01
10
11
00
11
00
01
00
10
10
01
10
10
01
10
00
11
00
00
11
00
01
10
00
10
11
01
11
00
01
10
00
00
10
11
10
01
00
10
00
01
00
01
00
11
00
11
00
11
10
10
00
01
00
10
00
00
00
00
00
10
10
00
11
00
00
01
10
00
00
10
00
00
00
11
10
00
10
11
10
01
01
10
00
01
10
11
10
11
11
01
00
01
00
10
10
00
00
10
10
00
00
11
00
01
01
00
00
00
10
10
01
01
11
10
10
10
10
11
01
00
10
00
00
11
10
00
11
00
01
10
01
00
11
10
10
10
10
01
00
10
00
00
10
10
00
01
01
10
00
11
10
01
10
01
10
11
01
00
11
11
11
10
10
00
10
11
00
00
10
11
01
00
00
10
00
10
00
00
01
11
00
00
11
00
00
00
10
11
00
00
01
11
00
10
10
10
01
00
00
11
00
10
10
11
10
01
00
01
00
00
10
10
00
00
10
10
11
10
00
10
10
00
11
10
10
01
00
11
11
10
00
10
01
00
00
10
00
00
00
10
11
00
10
10
00
10
11
10
00
00
00
00
01
10
10
10
10
00
00
00
10
10
11
11
01
00
01
10
00
10
11
11
00
10
11
10
00
10
11
00
11
01
00
00
01
10
01
00
11
10
10
10
00
00
00
11
11
11
00
00
10
11
00
00
10
11
00
00
01
10
01
11
01
01
00
10
10
10
10
00
00
10
10
01
00
10
00
10
10
00
01
01
00
11
00
01
10
11
01
00
11
11
10
11
00
11
10
11
00
00
01
00
00
10
10
01
11
11
10
01
01
00
11
11
10
10
00
00
10
01
01
10
10
10
10
10
11
11
11
10
00
00
00
00
10
00
01
10
10
10
11
01
00
10
01
10
11
00
11
01
11
01
10
11
01
10
10
00
01
11
00
11
00
00
10
10
10
00
11
10
10
11
10
11
10
00
00
10
01
10
10
00
00
10
00
10
01
00
11
00
11
00
11
10
11
01
01
10
10
01
01
00
10
00
00
00
10
00
11
00
00
11
10
00
00
10
00
00
10
01
10
11
10
10
01
00
01
10
11
00
10
01
11
10
10
11
11
10
00
00
01
10
10
10
01
00
00
01
11
01
00
00
00
10
01
10
10
00
11
11
10
00
01
00
00
10
11
00
00
00
00
10
10
10
00
10
00
11
10
01
10
00
01
11
11
01
00
10
11
10
10
01
00
10
00
01
00
11
11
01
01
10
10
10
10
00
01
10
10
11
00
10
00
00
00
10
00
01
11
10
10
10
11
01
10
00
00
00
10
00
11
10
00
00
00
10
10
10
00
01
11
00
10
10
00
00
10
00
10
01
10
00
10
11
00
11
01
10
10
00
10
00
01
10
11
00
01
00
11
00
00
01
11
01
00
00
10
10
00
11
10
01
10
10
00
10
10
00
10
10
00
00
01
10
11
10
01
10
01
10
10
00
00
00
11
10
01
00
00
01
10
10
11
11
00
11
00
00
00
11
11
01
11
11
10
01
00
11
00
10
10
00
10
11
00
10
00
00
11
00
11
10
10
10
00
00
01
11
10
01
01
11
00
10
00
01
10
00
01
10
10
10
11
00
10
00
00
10
11
11
01
11
01
01
00
10
11
00
00
10
11
11
00
00
01
11
11
10
00
00
10
00
11
00
11
10
00
01
00
10
01
01
00
00
10
10
00
10
11
10
01
00
10
11
01
10
11
01
00
00
10
10
11
00
11
00
00
11
10
11
00
00
10
10
00
10
10
10
01
00
01
01
10
10
00
11
00
10
11
10
01
00
10
11
00
00
11
10
00
10
10
00
10
11
00
01
00
00
11
01
00
00
00
11
10
10
10
10
11
01
00
01
01
10
11
11
01
01
10
10
00
00
11
10
00
11
10
01
00
00
11
00
00
01
00
10
10
10
11
00
00
01
10
01
11
10
10
10
01
00
10
00
00
10
00
10
10
00
01
01
00
10
00
10
10
11
11
00
01
00
10
01
10
10
10
10
00
10
00
00
00
00
11
01
10
10
10
10
10
00
00
00
00
11
11
01
00
10
00
10
10
11
01
01
01
11
00
00
10
11
01
01
10
10
10
00
00
00
10
00
00
10
00
11
11
10
10
00
00
11
10
11
01
10
01
01
11
11
01
00
01
11
10
00
11
10
00
11
11
10
01
00
10
10
11
00
00
00
10
10
00
00
01
10
00
00
00
11
00
11
10
01
01
10
01
00
11
00
01
10
11
10
00
01
00
00
10
01
00
01
11
10
10
01
10
00
00
10
00
10
10
01
00
10
10
10
00
11
11
10
11
00
11
00
10
00
00
10
10
10
00
00
11
10
00
01
11
00
00
00
11
00
01
10
11
10
00
00
11
11
00
11
11
10
01
10
11
01
00
00
11
00
00
10
10
00
01
10
00
11
10
01
10
10
11
11
11
10
00
00
11
00
10
01
00
10
10
10
11
01
00
01
00
11
00
01
10
10
11
10
00
00
11
01
00
10
10
00
01
10
11
00
01
10
01
10
10
10
00
10
10
01
11
00
00
00
00
00
01
00
10
10
00
10
10
10
00
01
11
01
10
10
00
01
01
00
11
10
00
10
10
00
00
10
01
00
00
10
10
10
10
00
01
10
10
00
10
00
10
11
00
11
01
00
00
00
01
11
11
00
01
11
10
10
00
00
11
10
10
10
00
00
00
00
01
11
10
10
01
10
00
01
10
10
01
10
00
00
01
10
10
10
10
10
10
01
00
11
00
10
00
00
10
00
00
10
11
01
00
00
10
01
00
11
10
10
00
00
10
01
10
10
10
00
00
10
10
01
10
10
00
10
00
11
01
11
11
10
11
00
00
10
10
00
00
10
10
00
11
10
11
01
11
10
00
10
11
10
11
11
00
00
11
00
01
00
11
01
10
11
00
10
10
11
01
01
11
11
10
11
00
11
10
00
00
10
10
01
00
11
00
00
10
01
01
10
00
00
00
10
10
00
10
10
00
10
10
10
11
10
00
00
00
11
00
01
10
11
01
10
10
11
10
01
10
00
10
10
11
11
01
11
01
11
10
00
01
10
00
00
01
10
00
00
10
00
10
00
00
10
00
10
11
01
10
00
01
10
01
11
11
11
00
01
10
01
00
10
11
10
11
00
00
10
00
01
00
00
10
10
01
00
10
10
11
00
00
11
01
10
11
00
00
10
10
11
01
10
00
11
10
00
11
10
00
10
10
10
10
10
10
10
10
01
11
00
11
10
00
00
01
10
01
10
11
01
11
00
00
11
10
11
11
01
10
10
10
10
00
10
10
00
00
00
00
00
00
10
01
00
10
00
10
10
11
00
10
00
11
01
00
00
10
10
10
11
00
10
11
00
10
01
00
01
01
00
10
01
10
10
00
00
10
00
00
01
01
00
00
00
00
11
11
11
10
00
10
10
11
00
00
10
10
10
00
00
10
00
01
00
00
10
10
10
01
01
00
10
10
00
00
01
11
11
10
10
00
11
10
00
11
10
00
01
00
10
00
01
10
10
00
10
01
10
01
11
00
00
11
00
01
00
11
10
10
00
00
10
10
00
00
00
10
10
10
11
00
00
10
10
00
11
10
10
01
10
10
11
10
11
00
10
10
00
01
11
01
01
10
01
10
00
11
10
00
00
01
10
10
01
00
10
00
00
10
11
11
00
01
01
00
10
10
11
11
11
01
10
10
01
01
01
00
00
10
10
10
00
00
10
11
11
10
00
01
10
00
10
11
10
00
00
00
00
10
01
00
10
11
10
01
10
10
00
10
11
10
10
11
10
10
00
10
10
10
01
00
10
11
00
00
01
01
00
11
01
00
10
00
00
00
10
01
00
10
11
01
01
11
10
11
11
10
01
00
11
10
01
01
10
10
10
10
01
00
00
00
11
01
11
10
00
11
10
01
10
11
00
01
10
11
01
00
00
11
10
10
00
00
11
00
00
00
01
10
11
00
11
10
10
00
00
10
10
00
01
10
00
01
11
10
10
10
00
10
01
00
01
00
11
11
01
10
11
10
00
01
11
10
00
00
11
00
10
00
11
10
11
11
00
11
10
10
00
00
10
01
10
11
01
01
00
11
00
01
01
11
00
00
11
10
10
10
01
00
10
00
01
11
00
11
01
01
01
01
11
11
01
00
00
10
00
10
10
01
00
11
10
10
01
10
10
00
11
00
00
11
11
10
10
10
00
10
11
00
01
11
10
10
00
01
11
01
00
11
00
10
00
10
01
00
10
10
00
00
10
00
10
10
00
00
00
00
00
00
00
11
10
10
01
00
00
01
10
10
01
00
10
10
00
00
00
11
10
10
01
10
11
11
01
00
00
00
10
10
00
01
10
10
01
11
01
01
01
10
10
00
00
00
11
10
11
10
00
01
10
01
10
10
00
01
10
11
11
00
11
10
10
00
00
10
10
00
01
10
00
01
00
10
11
00
10
10
00
00
01
10
00
00
01
00
10
00
01
10
00
00
10
10
00
01
10
11
11
10
10
00
11
10
10
10
00
11
00
00
11
10
10
11
00
00
10
10
00
01
10
00
01
10
00
10
00
00
11
00
01
00
10
11
10
10
00
11
10
00
00
01
00
11
11
00
10
00
00
10
10
01
01
10
00
11
01
00
01
10
11
11
00
00
11
11
01
11
01
11
11
10
00
10
11
01
00
11
00
10
10
00
00
10
10
01
00
00
10
01
11
01
10
11
01
11
10
01
01
11
10
11
01
10
01
01
01
11
01
00
11
00
00
01
00
10
10
10
01
10
10
00
11
11
01
10
10
11
00
00
10
10
01
00
10
01
10
11
01
00
00
10
01
11
00
00
10
00
00
11
10
10
01
10
01
10
01
01
01
10
00
10
10
10
00
00
10
00
10
10
01
10
11
01
10
11
01
10
00
00
01
00
10
11
10
10
00
11
11
11
01
01
10
00
00
11
00
00
10
10
10
00
01
10
01
10
01
11
00
01
00
10
10
00
00
10
00
00
11
10
01
11
10
00
10
10
10
10
00
10
00
10
00
00
10
01
01
01
01
00
10
01
10
10
10
11
00
10
11
01
10
00
10
01
01
11
00
00
00
01
11
10
00
00
10
10
10
10
00
00
00
10
10
00
00
10
00
01
10
00
11
01
00
11
00
01
10
10
01
00
01
10
11
10
00
00
10
00
10
01
00
10
10
10
00
00
00
10
00
11
10
01
11
00
10
00
10
11
10
00
00
11
01
01
10
10
10
10
00
11
10
00
00
00
00
10
00
10
11
10
00
01
01
10
00
10
10
00
10
01
10
10
11
00
10
01
00
00
00
11
10
01
00
10
10
00
10
00
00
00
00
10
10
10
01
10
00
10
01
10
10
01
10
10
00
01
11
11
01
11
10
00
00
11
01
00
10
10
01
10
00
01
10
10
00
00
10
10
01
11
11
01
00
00
00
11
10
00
01
10
10
00
10
00
10
00
00
10
01
10
01
10
10
10
10
00
01
01
11
01
11
10
10
10
10
00
00
10
10
00
00
00
10
10
01
00
00
10
10
01
11
10
00
00
10
01
01
10
00
10
11
00
10
00
11
11
00
10
10
00
10
00
00
00
00
10
10
00
11
11
00
10
00
00
10
01
10
11
01
00
00
01
00
10
10
01
10
11
11
01
10
10
10
11
10
01
00
10
10
10
11
11
01
10
10
10
00
00
11
00
01
10
01
00
11
01
00
11
10
10
00
10
11
01
01
00
01
00
00
10
10
10
01
10
10
01
00
10
01
00
10
01
01
01
11
10
11
11
00
11
00
01
11
11
10
00
10
10
11
00
00
11
00
11
10
00
11
10
00
01
00
10
11
01
00
00
00
00
00
10
00
11
10
10
01
00
11
10
01
00
10
00
10
11
01
11
10
11
00
10
10
00
10
01
10
11
11
00
00
10
00
00
00
10
01
00
00
10
10
10
10
10
10
10
00
10
00
10
00
00
00
11
11
10
10
11
00
01
00
11
01
00
11
01
01
10
10
00
11
00
11
10
01
00
10
10
00
00
00
10
10
10
00
00
01
01
00
10
10
11
10
00
10
00
00
00
01
10
00
00
10
11
01
00
00
10
11
10
10
00
10
10
01
00
11
00
00
10
01
11
10
01
00
01
00
10
11
00
01
10
11
01
00
00
01
10
11
01
01
01
11
00
10
11
00
00
10
10
00
00
01
11
01
11
10
01
01
00
11
01
01
10
10
10
01
01
11
01
00
01
00
00
11
00
01
11
01
00
10
10
10
10
01
10
10
01
00
01
00
10
01
10
01
01
01
11
11
11
10
10
00
10
10
01
10
00
11
01
00
10
00
11
10
00
00
00
10
10
01
00
11
00
00
10
10
00
01
10
11
00
00
00
01
11
00
00
10
01
00
10
10
10
10
10
11
00
10
10
01
10
10
10
10
11
11
10
11
10
00
00
10
10
10
01
00
10
01
10
00
10
10
00
00
11
10
00
10
10
00
00
00
00
00
01
00
10
01
11
11
01
00
10
01
00
11
00
01
10
10
01
01
10
10
00
10
01
01
11
00
10
11
00
10
00
01
11
01
10
11
01
01
10
01
00
10
00
10
01
10
10
00
00
01
11
10
10
01
11
10
10
00
10
00
00
11
01
01
00
11
11
10
01
10
10
00
00
01
10
11
00
10
10
10
00
10
11
10
00
10
11
11
00
01
10
00
10
00
00
00
11
10
10
00
00
01
10
10
01
10
11
00
01
00
00
11
00
10
11
10
00
10
11
00
00
00
00
10
10
00
10
00
10
00
00
11
00
01
10
10
10
11
00
00
01
10
00
10
10
10
01
00
10
00
11
01
10
10
10
11
11
10
10
00
01
01
11
10
10
01
01
11
00
00
00
01
10
11
01
00
00
00
00
10
11
00
11
00
01
10
10
11
11
00
01
00
11
00
10
10
00
10
11
00
10
10
00
00
00
00
00
11
10
11
10
11
10
00
00
01
00
11
10
00
10
00
10
11
01
01
01
11
01
10
00
10
10
01
11
10
01
00
00
10
10
11
00
01
10
01
01
01
11
10
01
01
00
10
10
01
10
11
00
00
01
10
11
00
10
11
10
00
00
11
11
10
10
01
10
10
00
10
00
00
11
10
01
00
00
00
10
01
00
11
00
11
11
00
00
01
10
10
01
10
10
11
10
00
00
00
00
00
01
10
11
11
10
01
00
11
00
01
11
00
01
10
00
00
10
10
11
10
00
01
10
00
00
01
10
00
01
10
11
00
01
10
10
10
00
01
10
01
00
10
11
01
10
01
00
10
10
10
01
01
01
10
00
00
01
10
11
11
00
00
10
00
01
00
00
10
10
00
10
10
10
00
01
10
00
01
10
01
10
10
10
00
00
01
11
10
11
11
00
00
10
10
00
10
10
00
10
10
00
11
01
00
11
11
00
10
10
10
00
11
10
00
11
10
00
00
10
01
00
10
10
10
10
00
01
10
10
11
00
11
10
00
01
10
10
01
00
10
10
01
00
00
11
10
00
01
10
00
10
10
11
01
00
10
11
00
11
11
00
00
00
00
00
01
11
10
00
01
10
00
10
10
01
11
00
00
00
00
10
10
00
00
11
10
11
10
01
00
10
10
01
01
10
01
10
00
11
01
10
00
00
10
10
00
01
01
00
10
00
11
10
11
11
00
11
00
10
00
00
10
11
01
10
11
01
10
00
00
00
10
11
00
10
01
00
11
10
10
01
10
10
11
00
01
10
10
10
11
00
00
00
10
11
00
10
00
01
10
10
11
10
00
11
10
00
10
00
01
01
10
00
10
10
10
00
10
10
10
10
01
00
11
11
01
11
10
10
10
10
00
00
10
10
11
00
00
01
00
11
00
01
10
01
00
11
10
01
01
10
01
01
11
00
00
11
10
10
00
10
01
00
10
00
00
00
00
00
11
11
01
11
01
00
00
11
11
10
01
01
11
10
00
00
00
11
11
11
00
00
11
11
10
11
00
01
11
10
00
10
10
11
11
00
00
00
10
01
11
11
10
01
11
00
01
01
10
10
10
00
11
00
00
11
10
11
00
11
00
11
00
00
11
10
10
01
10
10
10
00
00
00
11
10
11
10
00
10
10
00
01
10
00
10
00
01
10
11
00
00
00
00
10
10
10
00
10
11
10
00
00
01
00
11
10
11
10
00
00
11
10
00
01
01
00
10
10
11
11
00
11
00
00
10
00
00
10
00
00
11
10
01
00
10
01
10
11
10
00
00
01
10
10
01
00
10
11
10
11
01
00
00
11
00
00
11
10
01
00
00
11
11
00
10
10
00
01
10
11
00
11
01
00
10
00
10
11
10
10
11
00
01
10
11
00
01
00
10
01
00
10
10
10
00
11
10
10
11
01
00
10
01
11
00
00
10
01
10
10
01
00
00
10
10
10
00
10
01
10
00
10
00
00
10
10
00
10
10
00
10
10
10
01
11
11
01
00
10
11
10
00
00
10
11
11
10
01
00
10
10
11
01
00
00
11
10
01
10
10
11
00
00
10
01
10
10
00
01
10
00
01
11
11
01
00
00
00
00
00
11
01
00
00
01
10
00
10
11
00
01
10
00
11
10
01
00
10
10
00
00
10
00
01
10
11
10
01
00
01
11
11
10
10
10
00
00
10
00
01
00
00
10
11
11
11
01
00
00
00
01
00
11
10
01
00
00
00
10
10
00
01
10
10
00
01
00
10
10
01
01
00
01
00
00
00
10
10
11
11
01
11
10
10
00
00
11
00
11
00
10
10
10
10
00
11
10
01
00
01
00
00
11
10
11
11
11
00
10
00
10
00
00
11
10
11
10
11
10
00
10
00
00
10
00
10
00
01
11
00
10
01
00
00
01
10
10
00
00
00
00
01
10
00
00
11
10
10
10
00
10
10
00
11
00
00
11
11
01
00
00
01
10
10
01
00
10
10
10
10
10
00
00
10
00
00
11
11
10
10
10
10
10
10
01
00
10
10
10
10
10
01
00
10
00
00
00
11
10
00
10
00
00
11
10
10
00
01
00
10
11
00
11
10
10
00
11
11
10
00
00
01
10
00
11
10
10
00
01
10
00
01
10
01
01
00
11
00
10
00
11
10
10
00
11
00
00
10
00
01
11
11
10
00
10
10
00
01
01
11
00
00
11
00
00
11
00
00
00
11
11
01
00
10
11
00
00
00
00
11
10
10
10
10
01
10
11
00
00
10
10
10
10
00
01
00
10
10
00
01
00
01
10
11
11
10
10
10
00
00
11
11
10
00
01
11
10
01
10
00
10
00
00
00
00
11
00
11
01
10
00
01
00
01
00
11
00
01
10
10
00
11
01
00
10
10
00
00
01
00
11
11
10
01
00
10
10
00
10
10
00
00
00
10
10
00
00
00
01
01
10
00
00
10
00
11
10
00
00
01
11
00
10
00
10
11
01
10
11
00
00
10
01
00
00
10
10
10
10
00
00
10
00
01
10
11
00
00
00
10
10
10
01
00
01
10
00
10
10
10
00
00
10
00
00
00
01
10
10
00
00
11
00
10
00
10
01
10
00
11
10
10
00
10
10
00
11
10
00
11
10
11
00
00
00
00
10
10
10
00
00
00
00
10
10
11
00
01
10
00
10
10
01
10
01
11
10
10
11
01
01
01
10
00
00
10
11
10
01
01
10
11
00
10
10
10
11
00
11
11
10
10
00
10
01
00
10
11
10
11
00
00
11
01
00
00
11
10
10
10
11
10
01
00
10
01
10
10
01
00
11
01
00
01
01
10
10
10
11
00
00
10
00
10
10
11
01
01
10
10
01
10
10
10
00
01
00
01
10
00
01
00
10
00
00
00
10
10
11
10
00
00
00
00
10
11
00
01
10
11
00
01
00
10
10
01
00
10
00
00
01
11
10
01
10
11
00
00
10
10
10
10
10
01
11
00
00
01
11
10
00
00
00
10
11
10
10
00
10
10
00
11
01
10
01
00
00
01
10
00
00
11
11
10
10
10
10
00
10
10
11
00
11
00
01
11
01
01
10
11
01
10
10
10
00
00
11
10
01
10
10
00
11
01
10
10
00
00
10
11
01
00
00
10
10
11
01
00
10
00
10
00
10
00
01
00
10
10
10
00
00
10
11
10
00
01
01
00
00
11
10
10
00
01
01
00
00
11
10
10
11
01
01
11
10
01
01
11
00
10
10
01
10
10
00
01
01
10
11
00
11
01
01
00
11
10
01
10
10
01
01
10
10
00
00
11
11
10
11
10
00
00
11
01
01
10
10
10
00
11
10
10
00
00
00
01
11
10
10
11
01
01
00
00
11
11
00
10
01
00
11
10
10
10
01
10
00
11
10
10
00
00
11
01
10
00
01
11
01
00
00
10
10
01
10
01
00
11
00
01
10
10
01
00
00
11
10
10
00
00
10
01
10
00
10
10
00
10
00
10
00
01
11
11
10
10
00
00
10
00
01
11
10
01
11
10
01
10
10
00
00
10
01
10
00
00
11
00
00
10
11
11
01
00
11
00
01
01
00
10
11
00
11
11
00
01
11
01
00
11
10
10
11
10
00
10
10
01
01
10
10
00
00
10
10
10
00
10
01
10
10
00
00
10
10
10
01
00
11
10
10
00
00
00
00
01
10
10
00
01
00
01
11
10
00
00
10
00
10
10
01
10
11
00
10
00
11
10
00
10
10
01
11
10
11
01
00
10
00
00
10
10
01
00
01
10
01
10
00
00
01
10
11
00
00
10
01
00
00
00
10
10
00
00
10
10
10
10
11
00
11
11
11
00
10
00
00
10
01
00
11
10
11
11
11
11
01
00
01
11
00
11
11
00
01
00
11
00
11
00
10
00
00
10
10
10
00
10
10
10
00
00
11
11
11
00
01
11
00
11
00
10
00
00
10
01
01
01
01
00
00
00
00
10
10
00
01
10
01
01
00
10
00
11
00
00
11
10
10
10
00
01
00
10
10
00
11
10
00
10
01
01
10
00
11
01
01
11
10
00
00
01
00
11
10
10
11
00
11
11
00
00
11
10
10
10
11
01
01
10
00
00
11
10
10
01
00
11
10
00
01
10
11
00
11
00
11
10
10
01
00
11
10
10
00
01
00
10
01
00
01
00
00
00
11
10
10
10
11
00
00
10
00
00
10
10
10
11
10
10
00
11
11
00
10
01
00
10
10
01
01
01
11
10
00
00
10
10
11
00
00
11
10
00
11
10
00
01
10
10
01
11
10
01
10
10
00
01
10
00
00
10
11
01
11
10
10
00
11
01
01
01
10
10
00
01
00
00
10
10
00
01
11
11
01
01
10
10
00
01
10
11
01
01
10
11
00
00
00
01
10
10
10
00
00
11
10
00
10
11
01
11
10
00
10
10
01
00
10
10
00
01
10
11
00
11
01
01
01
01
00
11
10
00
01
10
11
00
10
10
10
01
00
10
00
11
00
00
01
10
01
11
10
11
11
00
00
00
01
10
11
00
01
00
11
10
00
11
11
00
01
00
10
00
01
10
10
10
10
00
01
01
10
11
01
01
01
00
01
11
00
11
10
00
01
00
11
00
00
00
00
10
10
00
00
10
11
00
10
10
00
10
00
00
10
10
10
01
01
11
00
00
00
00
00
11
10
00
10
00
01
10
11
00
10
10
11
00
01
10
00
11
11
11
11
01
00
00
01
00
10
10
00
01
10
01
10
10
10
10
00
00
00
10
10
10
00
11
11
01
00
00
00
00
00
00
01
00
01
11
10
10
01
00
10
10
01
10
10
10
00
00
00
10
00
11
10
01
00
00
00
11
10
10
00
00
00
00
11
11
00
00
10
10
00
11
01
11
11
00
10
00
00
01
10
11
00
11
10
00
10
01
00
10
00
00
00
10
11
00
00
11
00
00
00
01
11
11
10
00
11
10
11
01
11
11
00
01
00
01
00
10
10
00
00
11
11
10
00
01
00
10
10
01
01
11
00
10
11
00
10
01
00
00
00
00
01
10
10
10
01
00
11
10
00
10
00
10
10
01
10
10
10
00
01
01
11
00
00
10
10
10
10
01
00
10
00
11
00
01
11
01
10
10
00
00
00
00
11
00
11
10
10
00
10
10
01
10
10
01
10
00
00
10
00
10
10
00
00
11
01
10
01
00
01
10
11
00
10
11
01
10
00
00
10
00
00
10
11
11
11
01
11
00
10
11
01
10
10
01
00
11
01
10
11
00
11
10
10
01
00
00
00
11
10
10
10
00
00
10
10
00
00
00
11
00
00
10
00
10
00
10
10
10
10
00
00
00
00
10
10
10
00
10
10
00
00
00
00
11
00
00
01
00
00
00
10
10
00
10
10
10
00
10
11
00
00
10
10
11
00
00
10
00
01
00
10
01
10
10
01
11
00
01
10
00
10
01
01
11
01
10
01
00
10
00
01
10
00
11
10
01
10
10
00
11
10
00
00
10
11
10
01
00
10
01
00
01
10
00
00
01
11
10
10
10
00
01
01
00
01
10
00
11
00
00
10
01
11
00
01
11
10
11
10
01
11
10
00
00
00
10
00
00
10
11
01
01
00
00
10
10
10
00
00
11
10
10
00
10
00
10
00
10
00
10
01
10
11
11
00
10
10
01
01
10
11
01
10
00
10
10
00
10
01
01
10
10
10
00
01
00
01
10
10
01
10
01
01
10
11
11
00
11
10
00
00
10
11
11
00
01
00
11
10
11
01
00
11
10
00
00
00
10
01
00
10
10
10
01
01
01
00
00
10
00
10
10
10
10
11
00
00
10
11
00
01
01
00
10
10
10
01
10
10
00
00
10
01
00
01
11
10
01
00
10
00
00
10
11
00
10
00
00
00
01
10
10
01
00
11
00
01
10
11
00
10
00
00
00
10
10
00
01
10
01
01
10
01
10
11
11
01
01
00
10
10
01
01
00
10
10
00
10
10
01
01
10
01
00
10
10
10
10
00
00
00
01
11
10
01
00
10
11
10
00
00
10
00
00
10
10
10
00
11
00
01
11
10
01
01
10
01
00
10
01
00
10
11
11
11
11
00
10
00
00
00
00
10
11
01
00
00
00
01
10
10
01
01
01
10
01
10
00
00
10
00
00
10
11
11
00
00
00
01
01
00
10
01
10
00
00
10
10
10
10
01
00
11
11
10
00
01
10
11
00
10
11
10
00
01
01
00
11
10
00
10
10
00
00
10
10
01
10
00
10
11
10
00
10
00
00
11
11
00
01
00
10
00
10
11
11
00
00
10
01
01
00
00
10
10
00
00
01
10
10
10
01
10
11
01
11
01
10
11
10
01
00
10
00
00
10
01
10
10
11
00
10
11
10
11
10
10
10
00
01
01
01
11
11
00
01
11
11
00
00
10
10
00
00
00
10
11
00
10
00
00
11
10
00
10
00
00
01
11
11
00
10
01
01
10
10
10
00
00
00
00
10
01
11
11
10
00
11
10
10
00
11
10
10
10
10
11
01
00
01
10
00
10
11
00
10
10
00
11
01
01
11
00
00
01
10
10
00
00
11
01
00
10
10
00
10
00
11
10
00
00
00
10
10
00
00
10
10
10
10
10
10
10
01
11
01
00
01
00
10
01
00
11
10
00
00
10
00
01
00
10
10
00
01
10
00
10
01
00
01
01
00
11
10
10
10
01
11
10
01
00
00
10
01
10
10
10
01
11
10
00
01
10
10
00
01
00
00
10
10
10
10
00
11
00
01
01
10
10
01
01
00
10
11
10
00
00
00
00
11
10
00
00
10
11
10
00
00
10
01
10
11
00
10
10
10
10
10
01
10
00
00
10
00
00
01
11
00
00
00
10
00
10
10
00
00
10
01
01
00
01
01
00
00
01
10
10
00
01
10
11
00
00
01
11
11
00
10
11
00
00
11
00
00
01
01
11
00
10
11
00
10
10
10
00
01
00
11
10
01
10
10
11
01
10
10
10
10
01
01
01
10
00
10
00
00
11
10
00
10
10
00
11
10
01
10
01
01
01
11
00
01
10
00
01
10
00
10
01
00
01
10
10
11
10
01
10
01
00
01
10
00
10
10
00
01
10
10
00
00
01
10
11
00
00
11
00
10
00
00
01
00
00
10
00
11
10
00
01
00
01
00
00
10
11
10
00
00
10
00
10
01
10
00
00
10
10
11
01
00
10
11
10
01
00
00
10
00
00
00
00
11
00
11
10
00
01
10
00
00
11
00
01
11
10
11
00
01
10
01
01
01
00
10
10
11
00
00
10
10
00
00
11
00
10
10
01
01
10
11
01
00
10
11
11
10
10
00
10
10
01
00
10
01
00
00
00
10
01
11
01
01
01
11
00
10
11
10
10
00
00
10
01
00
10
10
00
00
10
00
01
10
10
10
11
11
00
00
10
00
10
00
01
11
10
10
00
11
10
00
00
01
10
00
00
10
00
11
10
00
00
00
10
10
00
00
01
00
11
00
11
01
10
00
11
10
01
11
00
01
10
10
10
00
00
10
10
01
10
00
10
00
11
00
10
01
00
11
00
11
00
10
00
01
10
11
00
11
11
10
01
10
00
10
10
00
10
11
10
10
00
01
00
11
00
00
10
00
11
00
10
10
00
00
10
00
10
00
10
11
11
00
01
00
00
01
10
10
11
10
00
10
00
11
10
10
00
10
11
00
10
11
00
11
00
01
10
00
11
10
00
11
11
00
11
10
00
00
11
10
00
00
10
01
11
00
11
10
01
00
10
11
10
10
10
10
00
01
11
11
10
10
00
00
00
10
11
10
10
00
10
11
00
01
11
11
00
01
10
10
00
00
01
10
11
00
01
00
11
10
01
10
01
11
11
00
00
10
10
10
00
11
10
00
00
00
00
11
01
01
01
00
11
00
01
10
10
01
01
00
10
10
00
01
10
11
01
00
01
01
10
00
10
00
00
10
10
11
11
10
10
01
11
01
00
00
00
10
10
01
00
10
10
00
10
10
01
10
01
10
10
10
01
10
11
00
10
10
00
00
01
01
01
00
00
11
10
10
10
00
00
00
00
00
11
11
00
10
11
10
00
00
00
10
00
00
11
01
10
10
11
10
11
10
11
01
00
00
00
00
11
11
11
00
10
01
10
11
01
10
11
00
11
01
01
10
10
00
00
00
10
00
00
10
11
00
00
11
00
11
00
10
10
10
00
00
00
10
11
00
10
01
01
01
10
10
00
00
11
10
10
01
01
10
10
10
00
11
10
00
10
00
11
10
00
00
10
11
11
10
00
11
10
00
00
01
00
11
00
01
00
10
00
00
00
10
11
00
00
00
10
01
10
00
01
10
10
00
00
00
10
10
10
00
10
11
10
00
11
10
11
10
10
10
10
10
00
01
00
01
11
01
01
01
10
11
10
00
10
10
00
00
11
00
11
10
10
00
11
11
00
10
10
11
00
10
10
11
00
01
00
01
11
10
11
10
00
10
10
00
00
01
10
01
10
00
10
10
01
00
10
00
11
00
01
10
11
00
01
10
10
00
00
01
00
10
00
11
11
11
00
00
11
00
10
11
11
01
01
11
10
00
10
01
01
11
10
00
11
11
01
00
00
10
11
00
01
10
00
11
10
00
01
00
10
11
00
01
00
00
10
01
10
01
00
10
10
10
00
00
10
11
11
01
10
10
01
01
00
00
10
10
11
00
00
10
00
01
00
10
10
00
00
11
00
00
11
10
10
00
01
01
00
10
00
00
00
01
10
10
01
00
01
01
11
10
01
00
00
00
10
10
00
01
11
01
01
00
01
01
00
11
00
00
00
00
11
10
10
00
10
00
10
00
00
00
01
10
11
11
10
10
01
00
10
11
01
00
10
11
00
00
01
11
10
01
00
01
11
11
00
10
10
01
10
10
10
01
10
00
00
00
10
01
00
10
10
00
10
01
01
00
10
00
01
10
01
10
00
00
10
10
10
10
00
00
10
11
01
01
10
11
01
11
00
00
10
10
01
10
10
01
01
00
00
00
10
11
10
10
01
00
11
00
10
11
00
00
10
10
00
10
10
00
00
10
00
00
10
11
10
01
01
10
10
00
00
00
00
10
10
11
01
10
00
01
00
00
10
10
00
10
10
00
00
00
10
10
10
10
01
00
10
00
01
00
11
11
00
00
00
11
11
10
01
11
01
10
11
10
00
00
10
00
01
10
10
10
01
11
10
00
00
01
01
11
10
11
01
11
11
00
01
01
11
10
00
00
11
10
00
10
10
10
01
00
11
00
11
11
01
01
10
00
01
10
11
00
11
11
00
01
01
01
11
10
01
00
00
00
01
10
11
00
01
00
10
00
01
10
10
10
00
00
00
10
11
10
01
10
00
00
10
01
00
10
10
00
01
00
01
11
00
10
10
11
10
00
00
01
10
11
00
10
11
10
01
11
00
00
10
11
10
11
00
00
10
10
00
11
00
00
10
00
00
00
10
11
00
00
11
11
10
01
01
01
01
11
10
10
00
10
01
01
11
10
01
01
10
10
10
00
00
01
01
11
10
11
00
10
10
00
00
10
10
00
01
11
10
10
10
00
00
00
00
00
10
10
01
00
00
10
10
00
00
00
11
00
10
11
00
11
10
11
00
10
10
00
00
11
00
00
01
10
11
11
10
00
00
10
01
10
10
01
00
10
10
00
10
10
00
00
10
10
01
10
10
10
00
10
11
00
10
10
10
11
00
00
10
11
10
11
01
10
11
00
00
00
10
10
00
00
11
01
00
10
01
11
10
11
00
00
00
01
00
11
10
11
00
01
00
00
10
11
11
01
10
10
01
00
00
01
10
10
01
01
00
10
00
11
00
00
01
00
01
10
11
00
10
10
10
10
10
01
00
00
10
00
11
01
10
10
00
00
10
11
01
00
10
00
01
10
11
10
00
00
11
00
11
10
11
10
00
00
11
11
10
11
00
00
11
00
00
10
10
00
00
00
10
00
10
10
11
00
10
10
01
10
01
00
01
00
11
10
11
10
00
10
01
11
00
00
10
00
00
10
00
00
10
01
10
10
00
10
10
11
00
01
10
11
00
00
10
10
01
01
01
11
10
00
00
10
00
01
10
01
00
10
01
01
10
11
00
01
00
01
10
10
00
00
11
00
10
11
01
00
00
00
00
00
01
10
01
00
10
01
00
00
01
11
00
10
00
10
00
00
10
01
00
01
00
11
00
00
00
00
10
00
00
10
00
10
01
00
11
00
00
10
00
00
11
00
00
10
11
00
10
01
00
00
00
00
01
00
00
10
11
10
11
10
10
10
00
10
10
10
10
00
00
10
01
11
10
10
00
00
10
10
00
00
00
00
11
00
11
00
10
10
11
10
01
01
00
10
10
00
00
10
00
01
10
00
10
11
10
00
10
10
00
10
11
01
10
10
01
00
11
00
01
11
10
10
10
10
00
00
10
01
01
10
00
10
10
11
00
00
00
00
00
00
10
10
01
00
11
01
00
00
00
10
11
01
00
10
10
00
00
00
11
10
11
00
01
11
11
10
00
00
10
01
11
11
01
10
11
10
11
11
10
00
11
01
00
00
10
11
01
00
10
00
10
11
11
10
00
10
10
00
10
00
10
10
10
10
11
01
00
10
00
01
11
01
00
10
00
01
10
11
01
00
10
10
00
01
00
11
10
01
11
11
10
10
10
01
00
10
01
00
10
00
10
00
10
00
10
00
10
00
11
01
00
10
00
00
00
01
10
10
10
01
10
00
00
10
01
00
11
10
00
11
01
00
10
10
11
00
00
10
00
00
10
00
01
10
10
10
10
00
00
01
01
01
11
00
10
01
11
11
00
01
10
10
00
00
10
10
01
00
01
00
00
01
01
10
10
10
01
11
11
10
01
11
11
00
00
00
10
11
00
10
10
10
01
01
10
11
10
01
10
11
00
10
00
00
11
11
10
01
10
00
00
00
10
10
10
01
00
10
00
10
11
10
10
00
01
10
11
10
00
11
11
00
10
01
00
00
00
10
00
00
10
01
00
00
10
00
00
01
00
00
01
10
00
10
00
11
00
01
10
01
10
11
01
01
01
10
10
00
00
10
00
00
10
11
10
01
10
00
00
00
01
10
00
10
11
00
11
10
01
00
01
10
00
01
10
00
01
11
11
11
00
01
00
01
00
10
11
10
01
00
00
11
01
10
00
00
11
00
00
10
00
01
00
10
10
10
00
00
10
11
00
10
11
00
11
01
10
00
00
11
10
11
00
10
11
01
10
11
00
00
11
00
10
10
00
00
01
10
11
10
00
00
10
10
00
10
10
11
00
00
01
00
01
11
11
00
00
10
01
10
00
10
10
10
11
11
00
00
00
01
01
00
10
00
00
01
10
00
00
10
10
10
10
00
11
01
00
10
00
11
11
11
00
00
01
00
10
10
10
01
10
11
00
10
10
10
00
01
00
00
01
11
10
11
11
11
10
00
00
00
00
11
01
00
10
10
11
00
00
11
10
10
10
01
00
11
00
00
11
11
01
00
11
10
00
00
11
11
01
00
10
01
00
10
00
00
10
10
10
01
10
11
00
10
00
11
11
11
10
10
00
11
00
11
01
00
00
00
10
10
10
01
01
10
01
00
10
01
00
10
00
01
10
00
10
00
10
00
00
10
00
00
11
00
01
10
00
11
00
11
00
00
10
00
00
11
11
11
00
00
01
00
11
10
01
10
10
11
01
00
10
10
10
00
10
00
10
00
00
00
00
00
00
11
10
01
11
10
00
00
00
00
11
11
01
00
10
11
10
00
10
11
00
00
00
00
10
00
10
11
11
01
00
11
11
11
11
00
00
00
00
10
10
10
00
00
10
10
10
00
11
01
01
00
01
10
00
00
01
10
01
01
11
10
10
10
10
00
01
11
10
10
01
00
01
10
01
00
10
10
00
00
10
11
10
01
01
10
00
10
10
10
01
11
01
11
10
11
00
10
00
10
10
01
01
00
10
00
10
11
10
11
00
00
10
10
00
00
00
00
10
11
00
01
00
00
10
11
11
11
10
01
00
01
10
00
10
00
01
00
00
10
00
10
00
00
11
10
00
00
10
10
01
00
10
01
11
00
11
11
00
11
00
11
00
00
10
01
00
11
00
00
00
10
10
00
10
10
00
00
11
11
10
00
00
00
01
10
01
00
11
00
00
11
10
10
00
00
10
10
10
11
11
01
00
01
10
00
10
10
11
10
00
00
00
10
00
11
11
00
11
00
10
10
01
00
00
00
00
10
11
00
00
11
10
11
00
10
10
00
10
11
11
11
00
10
11
11
01
00
11
01
00
01
00
11
00
00
10
01
00
00
10
10
11
00
10
10
11
10
00
01
10
01
00
10
10
00
00
10
00
00
10
00
00
00
10
01
01
10
10
11
10
00
01
10
10
10
10
01
10
00
01
11
10
01
11
11
00
00
00
00
11
11
01
10
11
10
00
00
11
10
00
01
11
01
00
11
11
11
11
00
00
00
00
10
11
10
00
00
11
11
00
00
10
11
01
11
00
00
11
01
10
00
00
10
01
11
10
10
00
00
10
10
00
00
00
00
00
11
10
01
00
00
11
11
00
01
00
10
00
10
10
11
01
10
10
10
10
10
00
01
10
11
00
11
01
01
01
11
11
00
10
01
00
11
10
01
00
00
11
10
10
00
10
10
01
11
00
01
01
00
11
10
01
01
00
10
00
00
10
11
00
00
00
11
01
01
00
10
00
11
00
01
00
01
01
10
11
00
10
10
10
01
00
10
11
11
00
00
00
10
11
00
01
11
10
00
10
00
00
00
10
01
11
11
01
01
00
00
10
00
10
00
00
10
10
00
00
10
11
00
11
01
01
01
00
00
11
01
01
00
10
10
01
01
10
11
01
11
01
10
00
00
00
01
10
10
00
00
11
10
00
10
01
10
00
10
00
11
00
10
00
10
10
10
10
00
00
11
00
10
10
00
10
10
00
11
10
01
11
01
00
10
10
00
10
10
00
10
01
01
00
11
00
11
01
00
00
11
10
01
10
10
11
10
10
00
00
11
01
10
00
00
10
00
10
00
10
10
01
10
00
00
11
10
11
00
00
10
10
00
01
10
10
01
00
11
00
10
10
00
00
11
00
00
10
11
10
00
10
00
00
11
00
00
11
10
00
00
00
00
10
10
00
11
01
11
10
01
00
10
11
10
00
01
10
10
00
11
10
10
10
11
01
10
00
11
10
00
10
10
00
00
10
00
11
10
10
00
01
10
10
10
10
00
10
00
01
01
00
01
00
00
11
10
11
10
10
00
00
11
00
11
10
00
00
00
01
11
10
01
10
10
00
11
01
10
11
10
00
10
00
11
00
10
10
10
10
10
01
00
00
10
10
00
00
00
00
10
10
11
11
10
11
00
11
00
10
10
11
00
00
11
00
01
00
10
01
00
11
00
10
10
10
00
00
00
01
11
11
10
10
10
01
00
00
10
10
00
11
10
11
00
01
01
01
00
10
11
10
10
01
00
00
00
00
00
10
11
10
10
00
01
00
00
00
00
00
10
10
00
10
11
10
11
00
01
10
00
10
10
00
01
10
00
10
10
10
00
00
00
10
10
11
00
11
10
10
00
00
01
10
10
11
10
00
00
10
01
00
00
00
00
10
00
10
11
10
11
10
00
01
10
00
00
10
10
00
00
11
00
11
11
10
10
10
11
01
10
10
01
00
00
00
10
00
10
01
10
10
10
00
00
10
10
01
01
11
10
00
10
11
01
01
10
11
01
01
01
10
11
11
10
10
11
00
01
10
10
11
00
01
01
11
11
01
10
10
00
00
01
00
11
11
10
01
10
01
00
00
10
01
00
11
01
01
10
00
01
10
10
10
00
10
10
00
00
00
01
00
11
10
10
00
11
00
01
00
10
10
10
10
00
10
11
00
00
01
10
01
01
10
01
11
10
11
10
10
01
10
00
10
01
01
01
01
10
01
00
11
01
10
10
01
01
10
10
01
11
01
11
10
01
00
00
00
10
11
00
00
01
11
10
00
00
10
10
00
01
10
10
01
00
00
00
11
10
11
01
01
11
10
00
10
10
00
01
00
11
10
00
10
10
10
00
01
10
10
10
11
00
01
10
10
10
11
01
00
00
00
01
11
00
10
11
00
10
00
10
11
00
10
00
01
10
01
11
00
10
10
10
00
01
01
11
00
00
11
10
11
01
00
11
11
01
10
00
00
10
10
10
10
00
01
00
10
11
10
00
10
10
00
01
01
10
10
10
00
10
10
00
11
01
10
11
00
00
00
00
11
10
00
00
00
01
10
10
00
11
10
00
01
10
00
10
00
01
10
11
11
01
11
00
10
00
10
10
10
00
01
01
10
10
11
10
01
00
11
10
11
00
10
00
11
00
00
00
10
00
10
00
10
11
01
00
00
10
00
11
00
11
00
10
00
00
00
10
00
01
10
11
10
10
11
10
10
10
00
00
00
00
00
10
11
11
00
10
00
11
01
01
00
11
10
00
11
11
10
11
00
01
01
10
00
01
11
11
00
00
10
10
00
10
10
00
00
10
01
00
01
00
10
11
10
00
11
11
01
11
11
00
01
10
10
10
00
00
10
10
01
00
10
01
11
00
10
10
00
01
00
11
00
10
10
00
00
00
00
10
10
11
01
10
11
01
10
10
00
10
11
00
11
01
00
01
11
11
00
00
00
10
00
11
11
01
00
11
00
01
11
01
10
10
10
11
00
00
10
11
00
10
00
11
11
00
10
10
10
10
00
11
10
01
00
10
10
00
11
00
00
10
01
00
11
11
11
10
01
00
00
11
10
10
10
10
11
01
00
10
10
00
11
11
01
01
10
00
10
11
00
00
10
10
01
00
01
01
00
10
10
01
11
10
00
00
11
00
10
01
00
10
10
00
11
10
00
00
10
10
11
01
00
10
10
11
11
11
00
01
10
11
10
10
11
00
00
10
00
00
11
00
10
10
10
00
10
00
01
00
10
11
11
11
10
00
01
10
11
10
10
01
01
10
01
10
11
10
00
10
01
00
00
00
10
00
11
01
00
00
10
00
10
00
10
10
01
01
01
11
01
10
00
10
10
00
00
11
10
00
00
00
10
11
00
00
00
00
10
01
00
10
11
00
00
11
10
11
00
10
00
01
11
10
10
00
10
01
00
10
11
10
00
10
01
01
01
00
11
01
00
01
01
00
11
01
00
10
10
00
00
00
10
11
11
10
11
01
01
10
10
00
01
01
00
11
10
01
00
00
10
10
10
10
10
01
00
11
00
11
10
00
10
11
01
00
01
00
11
11
01
10
10
00
00
00
11
00
11
10
10
10
00
01
00
11
10
00
10
10
00
00
10
11
11
01
00
10
01
10
10
00
10
00
10
01
11
11
01
00
11
01
01
10
01
00
11
10
00
00
10
11
01
10
10
00
01
00
10
10
01
10
00
00
11
00
10
01
00
01
10
01
01
10
01
00
00
10
11
00
11
10
00
10
10
00
10
11
00
01
10
10
00
10
11
00
11
10
00
10
00
00
10
00
11
11
11
00
10
01
11
01
01
10
11
01
00
10
10
00
10
00
00
01
11
00
00
10
00
01
10
10
00
10
01
11
01
01
11
11
10
11
00
00
10
10
01
00
00
11
11
10
00
00
10
10
11
00
01
10
10
00
00
10
01
10
10
11
10
01
10
00
00
00
01
10
10
11
10
00
01
10
00
00
11
11
01
10
10
00
11
00
10
00
01
01
00
10
11
10
00
00
00
11
10
00
00
10
10
10
00
01
10
01
00
10
00
01
00
11
01
00
10
10
10
10
00
00
11
00
01
00
11
00
00
00
00
10
11
00
00
01
10
00
10
00
01
10
11
01
10
10
00
00
10
10
00
00
00
11
10
11
11
10
10
10
00
00
11
10
10
11
01
10
00
00
00
10
00
10
10
00
11
11
10
00
00
00
10
01
10
11
01
01
10
11
00
01
00
11
00
01
00
10
00
00
10
10
11
00
00
10
01
10
01
10
00
11
01
00
10
10
10
00
00
10
10
10
00
11
10
01
11
11
01
10
01
00
01
10
10
00
01
00
11
00
00
10
10
00
00
10
10
00
10
10
10
01
10
00
10
10
10
11
00
01
01
10
10
00
00
11
10
00
10
00
00
01
00
10
00
00
00
10
10
10
10
10
01
00
10
10
10
00
10
10
11
00
00
01
10
01
00
11
00
11
10
00
10
10
11
00
10
00
10
10
10
10
00
01
00
00
11
10
00
11
10
10
00
11
00
00
10
10
01
10
11
01
10
11
00
11
00
00
11
01
00
10
01
00
00
10
10
11
00
10
00
00
00
10
01
01
01
00
01
11
00
01
10
11
00
10
00
11
10
01
00
01
00
00
00
10
01
00
00
11
11
00
10
10
00
00
10
10
00
10
10
01
10
01
00
00
00
10
01
00
00
00
01
10
00
00
01
11
10
01
00
00
10
11
10
10
00
00
10
00
00
10
00
01
00
10
00
10
01
01
10
00
00
10
10
00
00
10
10
00
11
01
11
11
00
00
00
10
01
01
10
11
01
11
10
10
00
10
01
00
10
11
00
11
00
10
00
10
11
00
01
11
00
01
10
00
00
10
10
10
10
01
10
10
01
10
10
00
00
10
10
01
11
11
01
00
00
00
11
11
00
00
11
01
00
10
10
10
00
11
10
00
10
00
00
00
00
10
00
00
00
00
10
00
10
00
11
01
01
00
00
00
00
11
01
01
11
01
10
10
01
10
00
00
10
00
11
11
10
01
00
10
11
10
00
11
11
10
00
00
00
10
00
00
00
10
01
00
10
00
10
11
01
10
01
00
01
11
11
10
00
00
11
01
00
11
00
00
11
01
11
11
01
01
00
10
00
11
10
01
01
10
10
11
10
01
11
00
01
10
10
11
01
01
10
10
10
00
00
00
00
10
00
10
00
10
00
10
01
10
11
00
10
00
11
11
00
10
00
11
00
00
10
10
00
01
00
01
11
11
01
00
10
10
00
00
01
11
10
11
11
10
00
01
10
00
01
10
00
11
10
01
00
01
11
11
00
01
11
11
01
00
10
00
01
10
10
00
11
10
00
10
11
01
01
00
00
10
00
00
11
00
00
11
10
11
00
00
01
10
00
10
10
00
00
00
11
01
11
00
11
00
11
10
01
11
10
01
00
00
01
10
10
00
01
10
10
00
11
01
11
01
10
00
00
10
01
01
10
10
00
01
10
00
10
00
00
00
10
10
10
00
10
01
11
00
00
01
10
01
00
00
10
11
00
00
10
10
01
01
01
10
00
11
01
10
11
11
00
11
10
10
00
00
10
01
00
11
00
01
01
10
11
10
00
01
01
11
00
01
10
00
00
00
10
10
01
00
11
11
00
10
01
10
10
10
00
00
01
00
11
11
00
10
10
00
11
10
00
01
00
10
01
11
11
10
11
10
00
10
11
00
00
00
10
01
00
11
10
10
10
10
11
00
10
10
01
11
00
00
00
00
00
10
00
00
10
11
10
10
00
00
10
00
01
10
10
00
11
10
00
00
10
11
00
00
00
10
11
00
11
01
11
11
00
11
00
10
10
11
01
00
11
11
10
10
10
00
10
11
01
10
11
00
10
10
11
10
00
00
00
01
10
10
10
00
01
10
10
00
11
10
01
11
01
10
11
00
00
10
00
00
10
11
10
01
01
11
00
00
01
01
11
11
10
00
00
11
01
11
11
10
00
01
01
00
10
11
01
10
01
01
11
10
00
01
11
11
01
00
10
11
01
00
00
10
00
00
00
10
00
10
10
00
00
10
10
01
00
00
10
10
11
00
01
10
11
00
00
10
00
01
10
11
01
10
10
01
01
10
10
01
10
10
10
11
01
10
01
00
11
01
11
10
00
11
01
00
11
01
01
11
00
00
01
10
10
10
00
00
00
10
10
11
10
00
00
00
10
10
01
00
10
11
10
01
11
10
11
01
01
00
00
11
00
10
10
11
00
00
00
11
01
01
11
10
11
11
10
00
11
10
00
00
11
10
10
00
00
00
10
00
00
11
00
11
11
01
10
01
00
00
10
11
00
10
01
00
00
00
11
11
10
10
00
10
01
00
10
10
01
01
10
00
01
10
10
01
00
11
00
01
00
10
10
00
00
10
10
01
00
00
10
10
10
00
10
00
00
01
10
11
00
10
01
01
01
10
00
00
11
10
01
01
11
00
00
11
11
10
00
10
10
10
01
01
00
00
00
11
10
11
10
00
00
00
01
10
00
01
10
10
00
10
00
10
10
01
00
10
10
10
10
00
10
00
01
01
11
01
10
11
00
10
11
00
00
11
10
00
00
10
11
00
01
01
10
10
01
10
10
10
01
11
11
10
00
00
00
10
11
10
10
10
11
00
11
01
11
01
10
11
00
00
00
10
10
00
10
11
10
01
10
11
00
00
01
11
00
11
00
00
00
10
00
10
10
00
10
00
10
00
00
11
11
00
11
10
10
01
00
11
10
00
01
10
10
10
10
00
00
11
01
10
01
11
01
10
11
00
11
00
10
11
01
00
10
10
00
00
10
11
00
10
10
00
00
10
11
00
01
10
01
00
10
00
00
10
11
00
01
10
10
00
00
10
10
00
11
10
01
10
10
00
10
01
01
01
10
11
10
10
00
00
10
11
00
01
11
11
00
10
10
11
11
10
00
00
01
11
00
01
00
00
01
10
01
11
10
00
11
00
01
00
10
10
00
00
10
00
10
11
00
01
01
00
10
01
10
10
01
00
10
00
10
00
10
10
01
11
01
11
01
11
10
10
00
10
10
01
00
01
11
00
10
10
00
00
11
00
00
00
11
10
10
01
00
00
00
10
10
00
10
11
01
11
10
10
10
00
10
10
10
00
00
11
10
10
00
00
01
10
00
01
10
00
10
10
11
01
00
00
01
00
10
10
10
10
01
10
01
00
01
10
10
00
00
11
11
00
00
10
01
01
10
10
10
11
00
00
00
00
10
10
00
00
10
11
01
01
00
00
00
00
11
10
10
01
10
01
00
01
00
00
10
11
01
00
00
11
01
10
11
00
11
10
10
01
00
10
00
10
10
01
10
11
10
00
00
00
10
10
01
00
10
10
11
11
00
10
00
10
11
00
00
10
01
10
10
10
00
01
00
10
01
10
11
00
11
01
01
10
10
11
00
10
01
00
11
00
10
00
00
10
11
00
00
10
11
01
00
10
01
10
10
11
11
10
00
00
11
01
00
11
00
00
00
10
11
10
10
00
10
00
11
10
10
10
00
00
10
00
00
10
10
10
10
10
10
00
10
00
10
00
01
00
00
01
11
01
01
00
01
00
00
10
00
00
01
10
10
00
10
11
11
00
00
11
11
11
01
00
01
10
11
11
10
01
00
01
10
00
10
11
10
00
10
10
11
11
11
10
01
00
10
10
01
00
11
10
00
01
11
10
10
10
01
10
00
00
10
10
00
00
10
11
11
00
00
00
01
10
10
01
00
00
10
00
00
10
10
10
10
01
00
00
10
00
11
00
00
10
10
01
00
01
10
10
00
11
00
10
10
00
01
11
01
11
01
00
11
10
10
11
00
11
10
10
01
01
10
01
00
11
10
11
00
11
11
01
00
11
10
00
00
00
00
11
11
00
00
10
01
11
10
00
01
10
11
10
00
00
11
00
01
01
10
01
11
00
11
00
00
10
11
10
10
00
01
00
00
00
00
11
11
11
10
01
00
01
11
10
11
10
00
00
00
00
00
00
00
01
11
00
00
11
10
10
00
00
10
10
10
11
10
00
01
00
01
10
00
01
00
10
10
10
01
01
10
10
00
10
10
10
00
00
11
10
10
11
01
00
00
11
11
11
00
11
00
00
00
00
00
10
00
01
00
00
01
10
00
11
00
11
01
10
10
01
00
01
10
10
11
00
00
11
11
11
10
01
11
00
10
11
00
10
00
00
10
01
11
00
11
00
10
10
10
01
00
10
10
10
00
10
01
00
11
00
01
00
00
10
00
10
10
11
01
11
00
11
10
10
00
01
10
11
00
00
10
11
00
00
10
01
00
01
10
10
00
10
10
00
00
10
00
00
10
10
00
10
10
11
10
01
00
10
00
00
00
11
10
01
11
00
10
10
10
10
11
00
01
10
01
11
10
11
00
10
10
00
00
00
10
10
10
00
01
00
10
10
10
00
10
11
01
01
10
11
10
00
01
10
10
00
10
11
00
00
01
10
00
00
00
11
01
00
00
00
11
01
01
01
11
00
10
10
01
01
01
10
00
01
01
01
10
11
10
01
00
11
01
00
11
01
00
10
01
10
00
00
10
11
10
01
11
10
01
10
01
00
10
10
00
11
10
10
00
00
00
10
10
01
00
10
10
10
10
10
10
00
10
10
00
11
01
00
10
00
01
00
00
11
11
00
10
01
00
11
10
11
11
11
00
00
00
10
00
00
11
11
01
00
11
10
01
11
00
10
10
01
01
00
00
00
01
11
00
10
10
10
00
00
10
11
00
10
00
01
10
00
10
01
11
00
11
01
10
11
00
00
11
00
00
00
01
10
00
10
10
00
01
00
10
10
00
01
10
10
00
00
01
00
10
11
11
00
01
01
10
10
00
11
10
01
00
00
10
11
00
10
11
00
01
10
10
01
10
11
10
01
00
01
00
10
10
00
00
10
00
00
10
01
01
11
10
11
10
00
01
10
10
00
01
00
11
01
01
00
10
10
10
10
10
00
10
00
00
00
00
10
10
00
01
10
00
10
01
00
10
00
10
01
00
00
11
00
00
00
00
10
10
00
00
11
01
10
11
00
00
00
01
10
11
00
00
01
01
01
10
10
01
01
01
10
11
00
00
01
10
11
00
11
11
01
11
10
00
10
01
01
10
00
00
00
10
01
10
10
10
10
10
00
11
10
00
10
01
01
11
01
01
00
00
00
00
00
11
10
11
01
00
10
00
10
00
00
11
00
00
00
00
11
11
01
01
10
00
10
00
00
10
10
00
10
10
10
10
00
00
10
11
00
01
00
11
11
01
00
00
11
00
01
11
11
01
10
10
01
00
00
00
10
10
11
11
10
00
10
00
00
10
00
10
00
01
10
10
00
01
00
01
11
11
00
00
01
00
00
10
11
00
01
10
01
01
10
11
00
00
10
01
00
00
00
10
10
10
10
00
00
10
00
00
10
10
00
00
10
10
01
11
10
11
10
00
00
11
10
01
00
10
00
11
01
00
10
00
00
10
10
10
10
00
00
00
00
10
01
11
00
00
10
10
11
10
10
00
00
11
10
01
11
00
11
11
10
00
01
10
10
00
01
00
10
10
10
00
00
00
10
00
01
11
00
10
00
10
10
11
01
01
11
00
10
00
01
10
11
01
00
00
10
01
00
00
10
10
10
00
11
10
10
00
11
00
00
10
11
10
10
11
11
00
11
01
00
10
00
00
10
01
11
10
01
10
00
11
11
00
00
11
10
10
00
00
11
01
01
10
11
00
10
00
00
10
11
00
11
11
01
00
10
10
10
01
00
10
10
10
01
10
10
10
01
10
01
00
00
00
00
11
10
00
01
10
10
11
00
00
10
11
01
10
11
00
01
01
11
11
00
10
11
00
00
00
10
10
10
00
01
10
10
00
01
01
01
11
00
00
00
00
10
10
00
10
10
00
00
10
00
01
11
01
01
10
10
11
00
11
00
00
10
01
10
11
00
00
10
10
00
11
10
01
11
11
11
11
01
10
10
00
00
10
00
01
00
10
10
00
11
11
01
00
10
10
00
11
10
01
00
00
01
10
01
00
01
10
10
00
00
00
10
10
10
10
01
00
00
10
01
10
00
00
10
00
00
00
10
00
10
11
01
10
11
11
10
00
10
00
00
00
00
11
11
01
01
00
11
00
00
10
11
00
00
11
10
01
01
10
00
11
11
10
00
00
11
01
10
00
10
11
10
00
01
01
10
11
01
00
00
10
00
00
10
10
01
00
11
01
00
10
00
10
11
00
00
01
00
00
10
00
10
10
11
11
11
00
00
11
00
10
00
10
10
11
00
00
00
10
00
00
10
00
11
00
00
10
00
01
00
10
11
00
10
10
00
10
11
10
00
00
01
00
00
11
10
01
11
10
01
00
00
11
00
00
10
10
01
11
01
11
10
10
10
11
00
01
10
11
10
10
00
01
10
10
00
11
01
00
00
10
10
00
00
11
10
01
10
10
01
00
01
00
10
10
00
01
10
10
00
00
11
00
10
00
00
10
00
10
11
01
10
11
01
00
10
01
10
00
11
11
11
10
10
00
10
00
01
11
11
00
00
10
10
10
10
01
00
00
11
00
10
00
00
11
01
00
00
10
01
00
10
10
00
10
10
00
00
00
10
10
00
10
00
10
00
10
10
00
01
00
01
00
11
10
11
01
01
00
11
10
01
11
10
10
00
01
10
00
10
00
01
10
11
00
10
10
11
10
10
11
00
01
10
11
00
01
00
00
10
11
11
11
01
01
10
11
10
01
10
11
00
00
00
11
10
00
10
10
11
00
10
10
00
00
11
11
11
10
00
01
10
11
01
01
00
11
10
10
10
00
10
01
10
00
01
00
00
10
00
10
10
01
10
10
10
11
10
01
10
00
00
11
11
00
00
10
11
00
11
10
01
01
11
00
10
10
00
01
10
10
10
01
01
10
11
00
11
00
01
00
10
00
10
10
01
00
10
10
10
01
10
00
00
10
00
11
10
01
01
10
01
00
00
01
11
10
11
01
00
00
00
10
10
10
01
00
10
11
00
10
00
10
10
00
11
10
10
11
00
00
00
10
10
10
01
00
01
00
11
01
10
01
10
10
00
00
10
01
10
11
11
00
00
00
10
01
10
10
10
11
10
00
10
10
11
10
11
00
10
10
10
11
10
00
01
01
10
00
10
10
00
00
10
10
00
00
10
01
10
00
01
11
11
01
10
11
00
11
10
01
01
01
00
10
11
00
00
10
00
00
10
00
10
10
00
10
10
10
01
00
10
00
10
00
01
00
10
01
00
00
10
01
00
01
11
00
00
00
10
01
00
10
00
10
10
01
11
10
00
10
10
00
00
11
01
00
11
00
11
00
01
10
11
11
00
01
10
11
00
01
10
11
00
11
00
00
10
11
00
00
10
10
01
01
11
00
01
00
01
00
01
10
01
01
10
01
00
10
10
00
10
00
10
01
01
01
00
11
01
00
11
01
01
11
10
00
00
11
00
10
10
01
01
10
10
01
00
00
01
11
11
00
00
10
10
00
00
10
10
00
10
01
10
10
11
01
10
00
00
11
00
11
00
00
10
00
10
10
00
00
11
10
10
00
00
11
00
00
00
01
10
10
01
10
10
00
00
01
11
10
10
00
10
10
01
00
10
10
00
10
00
10
00
10
10
00
10
11
00
01
10
11
10
01
00
01
10
00
01
01
11
11
10
11
00
00
10
11
01
00
10
10
10
10
10
00
10
10
00
00
11
11
00
00
10
00
00
10
11
00
00
00
10
11
00
01
10
01
01
10
01
00
00
10
11
00
00
01
10
10
10
10
10
10
10
00
00
10
01
10
00
10
01
00
11
00
00
10
10
00
11
10
10
11
11
10
00
01
00
00
00
11
11
10
10
01
01
00
01
00
11
11
01
10
10
10
00
11
10
00
00
00
10
01
00
10
10
00
01
10
10
10
01
11
11
00
00
00
01
10
00
10
10
00
00
00
00
00
10
00
11
11
01
00
00
10
00
10
00
10
10
11
10
00
10
00
01
01
10
11
10
01
10
10
01
10
00
00
10
11
00
00
00
10
10
00
01
00
00
11
00
10
10
00
11
11
10
10
10
01
01
00
10
00
00
10
00
11
01
00
00
00
11
10
01
00
11
01
01
10
10
10
00
00
11
00
10
00
00
00
10
10
01
01
11
01
00
00
10
10
00
10
10
10
10
11
10
01
01
10
10
00
11
10
10
00
10
00
01
11
00
01
10
00
11
10
11
11
00
01
00
01
01
00
11
01
10
10
01
10
01
00
11
10
10
00
10
10
10
00
00
10
10
10
00
10
10
10
00
01
10
01
10
00
00
11
00
01
11
10
01
00
11
10
00
11
10
00
10
10
01
11
10
00
01
01
00
10
10
10
00
00
00
10
01
11
01
10
10
10
00
00
00
00
10
11
11
00
01
00
10
11
01
00
00
11
11
10
10
00
00
10
10
10
01
01
00
10
11
01
10
10
00
01
10
01
10
10
10
00
10
10
11
01
10
11
10
11
00
00
01
10
00
01
10
10
11
10
11
10
01
10
01
00
10
00
00
01
11
00
00
01
10
00
10
10
01
10
11
10
00
00
01
11
00
11
11
10
00
10
10
11
11
00
00
00
11
10
11
11
00
11
10
00
00
10
11
01
00
11
10
00
00
00
00
00
00
10
10
00
00
10
00
00
00
10
00
00
10
00
00
00
00
11
11
10
00
10
11
10
11
10
00
00
01
10
11
00
10
10
00
01
10
11
00
11
10
00
00
11
00
00
11
11
00
01
10
00
10
10
10
11
01
10
11
00
11
11
00
10
00
00
11
01
01
10
01
00
11
00
00
11
11
11
01
01
10
10
10
00
10
11
00
00
00
11
10
00
10
00
00
10
11
00
10
10
01
10
00
10
11
00
01
00
01
10
10
01
00
10
10
00
10
10
00
10
01
01
00
10
10
00
00
00
11
10
00
11
00
10
01
00
00
10
10
00
00
10
00
10
11
10
00
11
00
10
00
00
10
01
10
10
01
00
11
01
01
10
01
00
00
10
10
11
10
11
00
11
11
11
01
00
00
10
10
00
00
10
10
10
00
00
00
01
10
10
01
01
00
11
10
00
01
10
10
10
11
01
00
11
01
10
01
00
10
00
01
00
11
01
01
00
00
10
10
11
11
01
01
10
11
01
11
10
00
10
11
00
10
00
10
01
10
10
00
01
10
00
10
00
11
10
00
10
01
11
10
01
11
00
01
00
00
10
00
00
11
10
00
11
10
10
00
11
10
11
00
00
11
11
11
01
10
10
10
10
10
10
01
00
00
10
10
10
00
00
00
01
10
11
00
00
00
11
00
11
01
00
00
01
01
10
10
10
10
10
10
00
11
10
00
00
10
10
01
10
11
10
11
10
01
11
10
10
01
00
10
10
01
10
00
11
01
01
00
00
10
01
10
10
01
11
11
10
00
00
10
01
11
10
00
10
00
00
10
01
10
01
01
11
10
10
00
00
11
00
01
10
00
00
10
10
10
10
01
01
00
11
10
10
10
00
01
11
00
10
10
01
00
10
11
00
10
10
10
10
00
01
10
10
01
10
00
00
01
10
10
01
10
11
10
10
00
00
10
10
10
00
01
10
01
10
00
11
01
10
10
00
01
10
00
00
00
10
10
10
11
10
00
10
01
10
10
10
11
11
00
00
11
11
11
01
00
01
10
10
10
00
00
10
10
00
10
00
10
00
10
00
10
10
11
00
10
00
10
10
10
11
10
00
01
00
11
01
00
10
00
00
10
00
11
10
00
10
10
00
01
01
10
00
10
11
10
00
01
10
11
11
00
00
10
11
11
00
01
10
10
00
10
00
10
00
00
10
00
00
10
11
10
11
00
00
00
00
11
10
01
00
10
10
10
00
11
10
00
01
00
01
00
00
11
00
10
10
10
10
10
01
10
00
00
10
01
00
11
01
10
00
00
10
11
10
01
00
00
01
10
11
00
10
10
00
10
00
10
10
00
00
10
01
00
01
00
11
00
01
10
10
01
11
11
01
11
10
11
10
01
00
00
11
10
01
01
01
11
10
01
01
10
01
10
10
10
01
00
01
01
10
10
00
00
00
11
10
01
01
10
00
10
01
11
10
00
10
01
00
11
10
00
10
10
10
11
11
10
10
10
00
10
00
10
00
01
10
10
01
00
10
11
00
10
10
10
11
00
10
00
10
00
10
00
00
10
11
01
01
10
01
00
11
00
10
01
00
11
10
01
01
00
10
00
00
11
00
00
11
00
00
01
10
10
00
10
10
11
00
10
11
10
10
10
00
01
00
10
00
01
10
01
01
10
01
11
10
10
00
00
10
10
00
10
11
10
11
11
10
00
10
01
01
10
00
00
11
01
11
11
00
10
10
00
00
01
10
10
00
11
01
00
01
00
10
00
00
00
10
00
00
10
00
10
10
00
10
11
01
10
00
01
11
00
10
10
11
00
00
10
11
01
01
01
01
00
00
10
11
10
10
01
10
01
01
10
10
11
01
00
10
11
00
00
00
10
10
10
01
01
10
11
00
10
10
10
11
10
11
00
00
01
11
10
11
00
10
11
01
00
10
01
00
00
11
11
10
00
00
00
11
10
10
00
00
10
01
01
00
11
10
10
10
00
10
10
01
00
10
00
00
01
10
11
00
00
10
00
00
00
10
11
00
10
10
01
00
00
10
00
11
01
00
01
10
11
00
10
01
10
11
01
00
10
10
00
00
10
11
01
00
11
11
00
10
10
00
10
10
01
10
10
00
10
00
10
10
00
00
11
11
10
01
00
10
10
10
00
00
10
10
10
11
00
01
10
00
11
10
11
00
10
10
10
00
10
10
01
00
01
01
11
00
01
11
10
00
00
00
11
00
01
10
11
00
10
10
10
00
10
00
00
10
01
00
11
00
01
11
01
00
10
00
00
00
10
11
01
10
00
00
10
01
10
10
01
11
10
00
11
01
00
00
11
10
01
00
10
01
00
00
00
10
11
00
10
10
11
00
10
00
00
00
10
10
10
00
01
10
10
10
00
10
10
00
11
10
10
10
11
11
10
01
00
10
10
10
00
00
10
10
10
00
01
10
10
00
01
00
00
00
11
10
00
10
00
01
00
10
11
01
11
00
00
00
00
11
01
11
10
10
10
10
00
00
01
10
11
11
00
00
10
00
10
11
00
10
00
00
11
00
01
11
01
10
00
11
11
00
11
00
01
00
10
11
01
10
00
00
10
11
10
01
00
00
00
10
01
00
11
11
10
10
01
00
00
11
10
11
00
00
10
10
00
01
10
01
00
00
00
10
10
00
11
11
10
01
00
10
11
01
10
01
00
01
10
10
00
11
10
00
11
10
00
01
10
10
10
00
00
01
01
11
10
10
00
11
01
00
00
10
00
01
10
10
00
00
00
00
10
10
10
01
11
00
10
10
10
00
01
10
00
11
10
10
00
00
10
10
00
11
10
00
11
10
00
10
10
01
11
10
01
10
10
10
00
01
10
10
00
00
11
10
10
01
10
10
00
10
00
00
10
10
00
00
10
10
11
00
00
01
10
00
01
11
10
10
00
00
10
10
00
01
00
00
00
11
10
00
01
00
00
00
01
10
00
00
11
11
10
10
10
01
00
00
01
11
11
10
10
01
11
10
10
00
00
00
01
10
00
10
10
10
10
10
00
00
10
11
01
10
00
00
10
10
10
10
01
10
00
00
00
01
10
00
01
10
01
11
00
00
11
10
00
01
10
10
11
01
01
10
11
01
10
11
00
10
10
11
00
10
10
10
11
00
00
00
10
11
00
01
00
10
10
10
00
01
10
01
00
10
11
11
11
00
01
10
00
01
11
01
10
10
01
11
11
00
10
10
01
00
00
10
10
11
00
00
00
10
10
11
01
00
01
10
00
00
11
11
11
11
10
00
01
10
00
01
10
00
11
01
11
01
00
11
11
00
10
00
11
10
01
01
11
00
10
10
10
01
01
11
01
10
00
11
10
00
11
10
00
10
10
00
00
00
10
10
01
10
01
00
00
10
10
10
01
00
10
10
00
00
10
00
11
10
00
00
10
01
00
10
11
11
01
01
01
00
10
00
01
10
01
10
10
00
11
10
10
10
00
01
00
11
10
00
10
11
01
01
10
00
01
00
00
10
10
00
10
00
11
10
10
11
10
00
11
00
01
00
10
00
00
10
00
00
11
11
01
11
10
11
10
01
01
11
01
00
00
00
01
10
10
00
01
10
01
11
00
10
11
00
00
10
10
00
10
10
00
10
00
11
00
00
11
00
00
10
00
11
00
01
10
01
00
00
10
00
10
10
00
00
10
10
00
00
10
10
00
00
11
11
11
10
01
01
10
10
00
01
10
01
00
10
00
10
01
00
01
10
01
00
10
01
10
11
00
00
01
11
10
00
00
10
10
01
11
10
00
00
00
10
10
01
00
10
10
10
10
10
11
11
10
00
00
10
10
01
00
10
00
00
10
00
00
10
10
01
00
11
00
01
10
00
11
00
10
10
10
10
11
10
00
01
10
10
10
11
01
00
11
11
10
00
10
11
00
01
10
11
10
00
00
01
11
10
10
00
00
11
00
00
10
10
00
10
01
11
01
00
11
00
10
11
00
00
01
10
11
10
10
10
10
01
10
10
00
00
10
00
11
10
00
01
11
10
10
10
00
01
11
01
01
10
11
10
10
10
11
00
11
10
10
11
10
01
10
01
00
10
10
00
00
10
10
00
10
10
00
00
10
00
01
10
10
00
00
10
00
00
10
11
10
00
10
10
00
00
10
00
01
11
00
00
00
10
10
10
10
00
11
10
10
10
11
10
11
10
01
00
01
11
11
01
00
00
10
11
01
10
11
11
00
10
11
10
00
01
00
10
11
00
01
00
11
01
11
10
01
10
10
00
01
10
10
00
01
10
00
00
10
00
01
00
00
00
00
11
10
00
10
00
00
10
00
00
00
10
10
00
10
10
11
00
10
10
10
11
11
10
01
11
11
00
11
10
01
01
10
01
10
00
01
11
00
10
00
11
01
00
10
00
00
10
10
00
10
10
00
00
00
10
10
10
10
01
10
00
11
10
10
01
00
10
10
11
00
00
11
00
00
00
11
10
11
00
10
01
00
00
10
11
00
01
00
11
11
11
10
10
00
11
10
00
00
11
11
10
10
01
00
10
00
11
10
10
00
01
00
10
11
01
10
00
00
10
10
01
00
11
01
01
01
11
10
00
01
00
11
10
00
00
01
11
11
11
01
00
00
00
00
10
01
10
11
10
10
01
01
00
10
00
01
10
10
10
00
11
01
01
10
11
00
00
01
00
10
10
00
10
10
01
00
01
10
01
00
11
00
00
00
11
01
01
10
10
01
11
10
11
00
00
10
11
00
00
10
11
00
10
01
10
00
00
00
00
11
00
10
00
00
01
10
11
10
00
10
11
10
00
01
11
00
00
00
10
11
10
10
00
00
00
00
01
10
11
10
00
10
10
00
00
10
10
11
01
10
01
00
10
10
00
01
00
10
10
00
10
00
10
01
10
10
11
00
11
00
01
00
01
10
10
01
00
11
10
01
00
01
10
11
00
00
00
11
10
01
11
10
10
00
10
10
00
00
10
10
10
01
00
10
01
10
00
00
11
00
00
10
10
10
00
00
00
00
10
11
10
00
10
10
00
00
00
10
00
10
00
01
10
01
10
10
11
00
01
00
10
11
10
10
10
10
00
00
10
10
10
00
10
10
00
01
10
10
11
01
00
11
10
01
11
00
00
10
10
01
00
10
00
01
10
00
10
01
10
10
10
00
10
01
10
11
01
10
11
11
00
00
10
10
10
11
00
00
00
00
01
10
00
10
10
01
00
10
11
00
01
10
01
00
11
00
00
11
10
10
01
11
10
00
01
00
00
10
10
10
11
10
01
11
11
00
00
10
10
10
11
00
00
01
01
00
11
11
10
11
00
00
01
10
11
11
11
10
00
00
11
00
00
00
00
01
11
00
00
01
10
00
10
10
00
00
11
10
00
01
01
10
11
00
10
00
01
11
10
00
11
01
10
10
11
00
10
10
00
00
01
00
10
01
10
00
10
11
00
00
11
00
00
11
01
10
10
00
00
00
00
10
11
01
11
01
00
10
10
10
10
10
00
10
01
00
10
10
00
10
11
11
01
10
10
10
10
11
00
01
10
01
00
11
10
01
00
10
01
10
10
00
10
00
00
11
10
10
00
00
00
10
10
00
00
00
10
10
00
10
10
00
00
11
11
00
10
10
01
00
10
00
11
01
10
01
00
10
10
11
10
11
01
01
01
00
11
01
11
10
01
01
01
00
10
11
11
10
00
10
10
00
01
00
10
11
10
10
00
10
10
10
00
01
00
10
00
00
10
10
00
00
10
11
10
10
00
11
00
11
11
00
00
01
00
10
10
11
10
10
11
11
01
11
10
00
00
01
01
10
10
10
10
11
01
11
11
10
01
00
01
00
01
11
10
00
11
01
00
00
10
01
10
10
00
00
11
00
10
11
00
01
01
01
10
00
10
10
00
11
01
00
00
00
00
10
10
00
01
00
10
10
11
11
01
10
00
00
01
10
10
00
00
00
10
11
11
00
10
01
11
11
01
10
10
11
00
00
00
00
10
10
00
10
00
10
00
01
10
00
00
00
11
10
11
10
00
11
00
01
00
11
11
11
10
01
00
11
00
00
10
11
00
00
11
11
11
00
11
10
11
11
00
00
10
10
00
00
10
00
11
11
01
10
00
00
00
11
11
01
00
10
01
11
10
00
00
10
00
01
11
10
00
10
10
00
10
10
00
10
00
01
00
10
10
10
10
10
00
10
11
00
01
00
10
00
10
00
01
10
11
10
00
11
00
01
10
10
01
00
00
11
10
01
11
10
00
00
10
01
00
10
00
10
01
00
01
11
00
00
00
11
00
11
10
10
01
10
00
11
11
00
00
10
01
11
11
00
10
10
11
00
00
10
00
11
10
00
10
00
01
00
00
10
11
01
10
10
10
11
01
10
01
01
00
11
10
10
10
11
00
00
01
01
10
00
11
10
00
10
11
11
10
00
01
10
11
01
00
00
11
10
11
00
01
10
10
00
01
00
00
00
00
10
10
00
10
00
10
00
10
01
00
11
10
10
10
10
00
00
10
01
10
10
00
00
10
11
00
10
11
00
10
10
00
00
11
10
10
10
00
10
10
00
10
10
00
00
10
10
00
11
00
01
01
11
00
11
11
01
10
10
00
00
00
11
00
00
10
00
10
10
10
10
00
01
00
00
10
11
01
00
10
10
11
00
10
11
10
00
10
00
00
01
10
00
11
10
00
01
01
01
00
00
11
10
01
10
00
10
11
01
11
00
00
11
10
10
00
11
10
10
10
00
10
00
00
11
00
10
10
00
11
00
00
00
10
01
11
11
11
00
10
00
00
11
00
00
11
10
11
00
00
01
10
10
11
10
00
00
10
01
10
00
01
10
01
11
00
00
00
10
11
10
00
00
10
10
10
00
00
00
10
10
11
10
00
00
10
11
11
01
00
01
00
11
00
00
11
11
10
10
11
00
10
10
01
00
10
10
00
10
00
10
10
10
11
00
10
00
10
00
00
10
10
10
00
11
00
10
10
01
00
11
10
00
00
10
01
10
00
01
10
10
10
01
10
00
00
10
01
00
10
01
10
11
00
10
10
00
00
00
00
10
10
01
11
10
00
00
00
10
10
10
00
00
10
10
00
10
01
10
00
11
01
10
10
11
01
11
10
01
00
00
00
00
10
01
10
10
00
00
10
10
11
11
00
11
00
00
10
00
00
11
00
01
10
10
01
01
01
11
10
11
01
00
10
00
11
10
00
00
00
10
10
00
10
11
00
11
00
00
10
10
00
10
00
00
01
00
10
10
00
00
11
00
10
00
01
10
11
00
01
10
00
01
11
11
00
00
10
00
00
10
10
10
00
10
11
00
11
11
10
00
00
00
01
01
11
01
00
10
01
11
00
00
10
10
00
00
00
11
11
00
11
01
10
10
11
01
10
10
00
11
00
01
00
00
00
10
00
00
11
11
10
10
11
00
00
00
00
11
01
11
10
11
00
00
00
10
00
00
00
10
11
00
01
10
10
00
10
11
11
01
00
10
10
10
10
00
10
10
00
11
00
01
10
00
10
00
00
10
00
01
11
01
00
10
10
10
00
00
00
11
10
11
10
10
10
00
01
10
01
00
10
00
01
00
00
10
10
10
00
01
11
01
01
00
00
00
10
11
00
00
10
00
00
00
00
11
01
00
01
00
11
00
11
00
10
10
01
10
11
10
00
10
01
11
00
11
10
00
10
10
00
00
11
11
00
00
10
10
10
10
10
10
00
10
01
00
00
00
01
10
01
00
00
10
11
00
11
00
00
10
11
10
10
10
00
00
00
11
10
11
01
11
10
00
00
10
10
01
01
11
11
10
00
00
10
10
00
00
10
00
00
10
00
01
10
11
10
10
00
10
00
01
10
01
00
10
11
00
11
00
11
10
00
01
00
10
10
10
00
11
01
00
10
00
10
10
10
10
01
10
00
10
00
01
10
11
00
00
00
00
00
00
10
10
01
11
11
10
00
10
00
01
10
10
01
00
01
11
01
11
00
11
10
10
01
00
11
10
10
00
11
10
10
00
01
00
00
01
10
10
10
10
10
11
00
00
01
10
10
00
01
11
01
01
00
10
00
10
00
01
10
00
11
11
11
10
11
10
10
10
01
00
01
00
10
01
01
01
10
00
00
10
00
10
10
00
10
10
10
10
10
11
10
00
00
00
01
01
00
00
10
10
00
10
11
11
00
11
11
01
10
11
10
00
00
10
10
00
00
11
10
11
11
10
00
10
01
11
11
00
00
10
01
01
00
01
10
10
00
11
11
01
01
01
10
11
11
00
01
10
10
01
10
10
01
10
01
00
00
01
10
11
10
11
10
00
01
01
10
11
01
01
11
00
10
00
10
10
10
00
00
10
10
11
10
01
10
11
10
00
00
00
10
10
00
00
11
11
10
00
10
00
01
10
01
00
10
10
11
10
00
11
01
10
10
01
00
00
01
10
10
01
01
11
10
00
10
00
00
11
10
00
01
10
10
11
10
00
00
10
10
10
11
00
11
10
11
00
11
01
11
01
01
10
10
10
11
00
01
00
10
10
01
10
00
00
01
00
00
10
01
10
11
00
11
00
00
11
10
00
01
01
11
00
01
10
00
00
10
00
10
10
00
01
11
00
00
00
10
11
00
11
10
10
11
10
11
00
10
00
00
11
00
10
10
01
00
11
11
00
10
11
01
10
00
00
10
10
10
11
00
00
11
10
00
10
00
11
00
01
00
10
10
00
10
01
01
00
00
11
01
01
01
01
01
00
10
10
10
01
00
11
10
11
00
00
10
10
10
00
00
11
10
11
00
00
10
10
10
00
01
00
00
10
10
00
10
00
10
01
10
10
01
01
00
10
10
00
11
10
11
10
00
01
11
11
11
00
00
10
10
11
11
11
01
00
10
00
10
10
01
00
10
10
10
01
10
00
00
11
10
11
10
10
10
01
01
01
01
10
11
10
10
01
00
00
11
11
01
01
00
00
10
10
11
01
00
10
01
00
01
00
01
11
10
00
01
00
11
10
00
10
10
01
00
00
00
10
10
00
00
10
10
11
01
11
01
00
00
00
10
00
10
10
00
00
01
10
01
11
01
00
01
01
10
11
10
00
01
00
11
10
10
10
01
00
10
01
10
11
00
00
11
10
10
11
10
00
10
10
00
00
00
10
00
10
10
11
10
01
00
01
11
01
00
11
00
11
10
10
00
00
10
00
00
10
11
01
10
11
01
00
11
10
10
00
00
11
01
00
00
00
11
11
10
10
10
10
00
10
01
00
10
11
11
10
00
10
00
01
01
11
10
00
10
01
10
01
00
10
00
01
10
10
00
10
00
10
10
00
10
11
10
10
00
00
10
10
00
11
10
11
10
01
00
00
11
01
10
11
00
00
11
10
00
10
11
01
01
01
11
10
00
11
10
01
00
01
11
10
10
01
00
00
00
10
10
01
01
00
00
11
01
10
01
00
10
10
00
01
00
10
11
00
10
00
11
01
00
10
00
10
11
00
00
11
01
01
00
00
10
10
10
00
01
11
10
01
10
00
01
10
10
01
10
11
00
10
10
01
00
00
10
10
00
10
00
10
00
10
10
00
10
00
00
10
00
01
11
00
10
11
10
10
00
10
10
00
00
00
10
01
01
10
01
11
01
01
11
11
00
11
11
00
11
10
00
11
00
00
00
00
10
00
00
11
00
00
10
00
01
00
10
10
00
00
10
00
00
11
10
11
01
00
01
00
10
10
00
00
10
01
00
00
10
11
00
10
00
10
10
10
10
10
00
01
10
11
10
00
00
11
00
01
11
10
00
00
01
11
11
00
00
00
11
00
01
10
10
11
01
00
00
11
10
00
00
11
00
01
11
11
01
00
01
01
01
01
10
00
10
11
11
01
10
11
00
00
00
10
10
01
01
10
00
10
10
10
11
01
10
10
11
10
01
11
01
00
10
10
00
00
11
11
00
01
01
11
10
00
10
10
10
00
01
11
10
10
01
11
10
10
01
00
11
11
11
00
11
10
00
00
10
10
01
00
01
00
10
11
00
01
10
11
10
10
10
00
10
10
01
11
00
00
10
10
10
10
00
01
00
00
00
00
00
10
01
10
01
10
01
11
10
00
00
10
10
10
00
10
00
00
11
00
10
10
00
01
10
10
01
11
10
11
01
00
11
10
10
00
10
10
00
11
10
00
00
10
00
11
10
00
01
10
11
00
00
10
10
10
10
00
00
10
11
00
01
10
10
10
00
00
01
10
10
11
00
11
11
11
00
11
10
11
00
00
00
00
10
11
01
01
10
10
11
11
10
11
11
00
00
00
11
00
11
00
10
11
01
10
01
00
10
00
10
11
01
00
10
00
00
11
00
01
10
00
10
10
10
00
10
10
10
11
11
00
00
00
10
01
00
10
00
10
11
10
01
10
10
10
10
10
00
01
01
00
00
11
01
00
00
10
10
11
11
00
10
10
00
01
11
10
00
00
00
10
00
10
11
01
01
10
11
01
10
10
01
11
10
11
01
10
00
11
00
00
11
01
11
01
11
11
00
00
01
10
00
10
00
01
00
11
00
10
00
01
00
11
00
00
10
00
00
10
01
00
01
10
01
10
00
10
10
10
00
00
10
00
00
00
11
10
11
11
00
00
10
10
10
01
10
01
00
10
10
10
10
00
11
10
01
11
11
10
10
00
10
00
01
10
10
00
00
00
01
00
11
10
00
11
00
00
10
10
01
11
11
01
01
10
10
11
01
10
11
00
00
10
10
00
11
10
01
10
10
10
01
11
00
00
11
00
01
10
11
10
00
10
00
10
10
10
00
11
11
10
11
00
10
01
10
11
01
10
11
10
10
10
00
01
10
10
00
00
10
10
00
11
10
01
11
11
00
01
10
11
10
00
10
10
00
11
10
01
00
00
10
11
00
10
00
10
00
00
00
00
00
00
11
01
11
00
10
00
10
00
00
11
10
10
01
00
00
01
00
11
10
00
11
00
11
00
01
10
11
00
00
00
00
10
00
11
10
10
01
00
11
00
10
10
11
00
01
00
10
11
00
00
10
10
00
01
10
10
11
10
11
10
00
10
00
00
10
11
10
00
01
01
11
10
10
00
10
00
01
00
00
10
10
10
01
10
10
10
10
10
00
00
01
00
01
01
10
01
11
11
10
00
00
01
10
10
11
01
00
00
10
10
10
10
10
11
00
00
00
10
10
10
10
10
11
10
01
10
10
01
11
00
11
10
01
01
00
10
10
11
01
11
11
00
00
11
10
11
00
00
10
10
10
01
11
10
11
00
00
00
10
01
10
00
10
10
00
10
10
10
00
00
10
01
11
11
01
11
10
01
00
11
10
10
00
01
01
01
11
10
11
11
00
10
00
01
00
10
10
10
00
11
01
00
10
11
11
11
11
11
01
10
11
01
00
00
10
10
01
10
10
00
01
11
00
01
10
11
10
00
00
00
00
11
10
00
00
10
01
00
10
10
11
01
00
00
10
00
00
00
00
10
10
00
10
10
10
00
10
11
10
11
00
10
11
00
11
11
00
01
10
01
00
01
10
10
00
11
10
00
00
10
00
00
00
01
01
00
11
00
10
01
00
00
00
10
10
00
00
11
10
10
10
10
10
11
00
00
11
00
11
00
00
10
10
10
00
10
10
00
11
00
11
00
00
10
00
00
10
10
01
00
00
10
11
11
00
10
10
11
00
00
00
00
10
10
01
10
00
10
01
10
10
10
10
10
10
00
00
00
01
10
10
10
10
00
01
10
00
00
10
11
10
00
10
11
01
01
00
01
11
10
10
10
00
00
00
10
00
10
10
01
01
10
10
10
11
11
10
00
11
01
01
10
00
01
10
01
10
10
01
00
10
10
10
00
01
10
11
10
00
00
10
01
00
10
00
11
00
10
00
01
10
00
10
10
00
10
10
00
10
10
01
10
10
10
00
00
10
00
01
01
01
11
01
10
00
10
10
00
00
10
10
01
10
11
11
01
01
00
01
11
01
00
11
10
01
11
10
10
00
00
10
11
00
01
10
10
11
10
10
01
00
10
00
11
00
00
11
10
00
00
00
01
11
10
01
10
10
00
11
00
01
00
10
10
00
00
00
11
00
01
11
10
10
00
00
10
01
01
10
10
11
10
00
01
00
00
11
10
11
00
10
00
11
01
11
11
00
10
10
10
10
00
00
11
01
11
00
11
01
00
10
00
11
00
00
10
00
10
10
11
10
11
00
00
10
00
10
00
00
10
10
01
10
11
10
01
00
10
11
00
10
00
01
00
10
11
00
01
10
10
00
01
00
10
11
10
11
00
00
00
00
11
11
11
01
00
11
10
10
00
01
10
00
00
01
01
10
11
11
10
10
11
10
10
00
00
01
11
10
01
00
10
00
10
10
01
01
10
10
00
11
10
10
10
11
00
11
11
10
01
00
00
00
00
00
00
01
11
10
10
00
10
01
10
10
00
00
00
11
10
00
00
10
10
00
10
10
01
00
01
00
01
01
11
11
10
10
00
00
00
10
10
01
10
10
01
00
00
00
11
10
10
10
00
01
11
00
01
00
10
00
01
00
10
00
00
10
00
10
10
11
10
00
00
00
10
00
11
10
11
01
00
10
00
11
00
00
10
01
00
11
00
00
01
01
01
00
10
10
11
10
00
01
11
00
00
01
10
01
01
10
10
10
01
01
00
10
00
01
11
00
00
01
00
10
00
10
10
01
01
10
10
00
00
10
00
10
00
11
10
10
11
10
11
00
00
01
10
10
10
10
01
00
11
10
10
10
00
01
11
00
00
10
10
00
11
00
10
10
10
10
00
10
00
01
01
00
00
10
11
01
00
00
10
00
01
01
01
11
00
00
00
01
00
11
10
01
11
10
01
01
10
11
00
11
00
10
10
01
10
10
11
01
11
10
11
01
00
11
10
00
11
01
11
10
00
01
11
10
00
01
11
00
01
00
00
11
10
10
10
00
01
10
10
00
00
10
11
01
11
00
10
00
10
00
01
11
00
11
11
10
10
00
00
10
11
00
10
10
00
11
01
00
01
01
10
10
10
11
01
00
11
11
00
01
01
01
10
01
10
10
01
10
00
10
10
00
01
10
00
10
11
01
10
00
10
10
00
10
01
10
01
10
00
11
01
10
10
00
10
10
00
00
00
11
10
10
11
10
11
01
00
00
01
00
11
00
10
10
00
00
00
10
10
00
00
00
00
10
10
00
10
10
00
10
01
11
11
10
10
01
01
00
11
10
00
01
00
11
11
00
00
00
11
01
00
10
00
10
10
00
00
10
11
10
00
00
01
10
10
00
10
11
11
01
11
10
00
10
10
01
10
10
00
10
10
11
11
00
10
11
00
11
10
01
10
10
01
10
10
01
00
11
10
01
11
10
11
00
01
10
00
01
00
00
10
10
00
10
00
10
00
00
00
01
00
00
10
00
11
11
11
00
10
10
10
10
10
00
01
10
00
01
01
01
00
00
00
11
10
01
00
10
10
00
01
10
00
00
00
10
10
00
00
00
00
10
00
01
10
10
01
10
11
01
11
10
10
11
00
10
00
01
10
11
10
11
00
00
00
10
11
00
00
10
10
00
01
10
10
10
10
00
10
10
00
10
01
10
00
10
11
10
11
01
01
11
10
11
10
01
11
11
00
00
10
01
10
10
11
00
00
01
00
10
10
00
11
00
00
00
11
00
00
10
00
00
11
01
10
00
01
00
10
10
11
00
00
11
00
10
00
00
01
10
01
01
00
11
00
00
11
10
00
10
01
00
01
01
00
10
10
11
01
10
10
10
01
00
10
00
11
11
10
10
00
10
01
00
11
10
00
00
10
10
01
00
11
10
10
00
11
00
11
11
00
10
10
10
00
10
01
00
00
10
00
01
00
00
00
10
10
00
00
10
11
10
10
11
01
01
00
00
10
01
00
00
10
10
01
11
00
00
01
00
00
00
01
10
11
01
10
01
10
10
10
00
00
10
10
00
11
10
00
10
00
00
11
10
00
00
10
00
01
01
11
00
10
00
01
00
00
10
11
01
00
10
10
01
11
00
00
10
10
00
00
11
10
01
01
11
10
00
01
10
01
10
00
01
10
10
11
00
01
11
10
00
01
10
01
11
01
00
01
11
11
00
11
11
00
01
01
11
10
00
01
01
10
10
01
11
01
10
10
01
01
10
10
10
00
00
00
10
00
10
11
00
10
00
10
11
00
01
00
11
00
00
10
10
00
00
10
10
01
00
10
10
00
00
10
00
00
10
00
00
11
01
11
11
01
10
10
11
00
01
00
11
10
11
10
00
00
00
10
01
01
10
00
10
00
11
00
00
10
10
10
11
00
00
00
11
01
10
00
11
10
01
11
10
01
00
10
10
10
00
00
01
10
10
10
00
01
00
01
00
11
10
00
10
10
10
00
11
10
10
00
11
10
10
10
01
01
11
00
00
00
00
10
10
00
00
11
11
01
01
00
10
10
01
10
10
01
01
01
10
00
10
00
00
10
10
00
10
00
01
01
10
00
01
00
10
10
11
10
11
10
01
10
00
00
01
10
00
01
11
01
01
01
01
10
10
10
00
01
10
01
00
00
10
11
11
00
10
10
11
00
01
10
00
00
11
11
00
10
11
00
11
11
00
00
00
10
11
10
10
00
01
10
00
00
11
10
10
10
01
00
10
10
00
10
10
10
10
00
10
00
00
00
01
10
10
10
00
01
00
10
11
10
00
00
10
00
10
10
10
11
00
11
10
00
00
11
10
10
10
00
00
10
00
10
10
10
00
11
10
00
11
00
01
11
00
00
00
11
10
00
00
10
00
10
00
11
00
10
10
10
01
10
00
00
10
00
00
00
11
10
00
01
11
10
00
00
10
00
00
00
10
11
10
11
10
00
00
00
10
10
11
00
00
10
00
10
10
00
10
10
00
00
00
11
11
10
10
00
11
10
00
10
00
11
00
10
00
01
00
00
10
10
00
00
11
10
00
01
10
11
01
01
10
00
11
01
01
10
01
00
10
00
01
00
00
00
10
10
10
10
10
00
00
10
10
00
11
11
00
11
01
00
00
00
11
11
10
00
00
00
10
10
10
00
10
00
10
00
00
00
00
01
11
00
00
11
00
00
11
01
11
10
11
10
10
10
00
01
10
00
00
10
11
11
10
01
11
10
01
00
00
10
10
10
00
11
01
01
01
00
10
10
10
10
10
00
00
01
00
00
11
11
11
01
01
00
11
10
11
10
00
00
11
00
01
01
10
11
00
11
00
10
10
01
10
01
10
10
01
10
00
01
11
10
11
00
11
00
01
00
00
10
10
10
00
11
11
00
01
00
10
11
00
11
00
11
10
00
01
11
10
00
00
10
00
01
01
10
00
00
00
00
00
10
10
10
01
00
00
01
11
01
10
00
00
11
01
00
00
11
10
10
00
10
00
00
11
00
01
01
00
11
10
10
01
10
10
00
01
10
10
00
00
00
00
11
11
10
10
00
10
00
10
00
01
10
11
10
11
00
10
10
01
10
11
01
00
11
11
10
01
10
10
01
01
10
10
11
01
10
11
10
01
11
01
00
10
10
00
10
10
01
01
10
01
00
10
01
00
00
00
10
10
10
00
01
00
11
01
10
10
00
00
11
11
01
00
00
10
10
00
10
00
00
00
11
10
01
10
01
11
00
10
10
11
10
00
00
01
00
11
10
00
10
10
00
11
10
00
10
10
01
10
01
10
11
00
10
11
00
00
11
11
10
10
00
00
11
00
01
00
00
01
10
10
00
00
11
00
00
10
10
00
10
00
10
01
00
00
00
11
10
00
01
00
11
10
11
10
11
11
10
00
00
00
10
10
01
10
10
01
11
10
10
00
00
01
01
01
11
10
11
10
10
10
00
00
10
01
11
10
00
11
10
01
00
01
00
00
10
00
10
10
00
00
10
10
00
00
00
11
10
11
00
10
00
01
01
00
00
10
10
10
10
10
00
01
00
00
10
11
10
10
00
00
10
01
00
11
10
00
01
10
11
10
00
00
10
01
10
10
00
00
00
10
11
10
00
00
00
00
11
10
00
11
01
11
01
01
11
10
01
10
11
00
00
11
10
10
00
10
01
01
00
00
10
10
00
00
10
00
10
10
00
11
00
10
11
00
11
01
00
01
10
10
10
10
10
00
01
01
00
10
10
10
00
00
11
10
00
10
10
01
00
11
00
11
00
00
11
01
01
10
01
11
01
00
10
10
11
10
00
00
00
01
11
10
00
10
10
00
00
10
00
10
11
00
00
01
11
00
10
00
10
10
10
00
01
10
10
01
00
10
10
10
00
10
00
00
00
10
11
01
11
00
10
10
10
00
00
10
10
00
01
00
11
10
01
10
01
00
10
01
00
00
00
11
10
01
01
00
11
00
01
00
00
10
11
10
00
00
11
10
10
10
00
00
11
00
10
10
00
11
10
00
10
00
01
00
01
11
00
10
10
10
10
00
00
11
00
10
10
01
10
10
01
10
10
11
00
01
00
00
01
10
10
01
11
11
01
10
01
11
10
01
10
11
01
01
00
10
10
00
00
11
10
00
01
10
01
10
11
00
11
10
10
00
01
10
10
00
00
10
00
00
10
00
00
10
11
01
01
11
00
10
01
11
00
10
10
01
01
11
10
00
10
10
00
11
01
01
10
10
01
10
00
00
10
10
00
10
11
00
10
10
01
00
10
11
10
00
10
00
01
11
00
01
01
10
10
00
10
10
01
00
10
10
11
00
00
10
11
10
10
01
01
10
10
01
11
11
01
01
00
11
10
10
10
00
00
10
00
00
11
10
01
00
01
10
10
10
00
01
10
00
01
10
10
00
10
00
10
00
00
11
10
00
10
01
00
11
10
00
00
00
00
10
11
00
00
11
11
00
11
11
00
00
00
10
10
10
00
01
00
10
00
00
10
00
00
00
01
11
00
00
00
10
00
00
10
10
01
00
00
10
01
10
11
10
00
01
00
10
00
00
10
00
01
01
00
10
11
10
01
00
10
10
11
10
11
11
00
00
10
00
11
00
01
10
00
00
01
00
10
00
00
00
11
01
10
10
10
00
01
10
01
01
01
10
00
00
10
10
11
10
10
00
00
10
11
10
11
10
10
01
10
01
01
00
10
00
00
10
11
00
00
10
01
01
10
00
00
10
00
10
10
00
01
11
10
11
00
00
11
01
00
10
01
00
10
10
01
01
01
10
11
10
00
00
10
00
10
10
00
01
11
10
00
01
10
00
00
01
11
11
10
11
00
01
00
00
11
01
01
10
00
10
10
00
10
01
00
01
00
11
11
01
10
11
10
01
01
11
10
10
00
01
10
00
00
10
11
10
00
00
01
10
00
10
10
11
00
10
10
01
00
01
10
11
00
10
00
01
01
10
11
01
11
00
00
11
01
00
11
10
00
01
10
01
00
11
10
01
10
10
01
10
11
10
10
00
01
00
00
11
10
11
10
10
00
10
10
01
10
10
10
10
00
01
11
00
10
00
10
01
10
10
00
00
00
01
00
11
10
00
00
01
10
00
10
10
00
00
11
00
10
00
01
10
00
10
01
10
10
10
01
10
01
10
10
10
00
10
00
01
10
01
10
00
01
10
01
00
10
00
10
11
00
10
10
10
00
00
11
00
11
10
11
11
00
01
00
00
10
10
01
11
10
00
10
00
00
00
01
10
10
01
10
11
01
00
11
00
00
11
10
01
01
10
10
10
00
01
11
11
11
00
01
11
11
10
00
00
10
01
10
00
00
00
10
01
00
01
00
10
10
00
11
11
00
00
10
11
00
00
00
10
10
01
01
10
00
00
00
01
10
00
10
10
10
00
10
11
01
10
10
00
11
11
01
01
00
00
10
10
10
00
01
11
00
01
00
10
11
01
00
10
11
10
00
11
00
00
10
00
01
11
01
10
00
01
10
01
10
11
10
01
10
10
11
01
10
10
11
10
00
00
11
01
10
11
10
10
01
10
11
00
01
10
10
00
00
00
01
10
10
01
10
10
00
11
11
00
00
10
10
10
00
00
01
10
10
01
11
11
11
10
00
00
11
10
10
01
00
10
10
10
00
01
01
11
01
11
11
10
00
10
00
10
11
01
11
00
11
01
10
10
01
10
11
00
11
10
10
10
01
10
01
11
11
00
11
10
11
10
00
00
10
10
00
00
01
01
00
10
11
11
10
10
11
00
10
11
00
00
00
00
10
11
10
11
00
01
00
10
10
10
00
01
11
11
10
00
11
00
00
10
00
00
11
11
10
00
01
00
00
11
10
01
00
00
10
11
10
00
01
01
00
01
10
10
01
00
00
00
00
01
10
00
01
11
00
10
00
00
00
01
00
10
00
00
00
11
10
10
00
01
00
10
10
11
11
00
01
00
00
00
00
10
10
00
10
10
00
00
01
00
01
00
10
00
10
10
00
00
10
01
00
00
11
10
00
01
11
10
10
01
11
10
11
11
10
00
10
10
00
01
00
11
11
11
00
11
00
01
01
11
11
00
11
01
10
11
01
01
10
11
00
01
10
11
00
01
01
10
10
01
00
00
00
11
11
11
10
01
10
11
10
00
00
10
11
01
01
00
00
00
00
00
10
00
00
10
10
01
10
00
00
00
01
11
10
10
10
11
01
10
11
00
00
00
10
10
10
01
00
01
10
11
10
10
10
00
00
00
00
10
10
10
10
00
11
00
00
11
01
01
10
00
11
00
00
00
00
10
00
10
10
00
10
10
00
01
10
10
01
11
10
00
01
10
00
00
01
10
10
10
00
11
11
00
11
11
10
11
00
00
00
00
10
10
01
11
10
10
10
10
00
11
11
00
11
10
10
00
10
00
11
11
00
00
00
10
10
10
10
01
00
10
00
00
10
01
01
10
00
00
10
10
11
00
01
10
00
10
00
10
10
01
11
10
10
00
10
00
00
00
10
10
01
10
10
11
10
00
00
01
10
10
00
10
10
00
00
00
10
11
01
10
11
00
01
00
01
11
10
10
00
01
10
11
10
00
01
10
11
11
10
01
11
11
00
01
10
11
11
10
01
01
10
00
11
10
10
01
00
01
10
11
10
00
10
10
00
01
00
11
10
11
11
00
10
00
00
10
00
11
10
00
11
11
01
11
10
01
10
11
01
00
11
01
00
00
10
11
01
10
10
00
10
10
10
10
00
00
10
10
00
10
11
10
00
01
01
10
10
00
11
11
10
11
01
10
10
01
10
10
10
00
00
00
00
01
01
00
00
00
11
11
10
11
00
01
01
10
10
11
00
00
10
00
00
11
00
11
11
10
10
00
10
10
00
11
10
11
10
10
00
10
10
10
00
00
00
10
10
00
00
11
00
00
10
01
10
10
10
01
01
00
10
11
00
10
00
00
11
11
00
11
11
10
01
00
10
11
00
00
00
00
11
10
00
11
10
00
01
00
10
00
01
01
11
10
10
00
11
10
11
01
00
10
11
00
00
00
00
00
01
11
10
00
01
01
01
10
00
10
10
10
00
00
11
00
01
11
11
00
01
00
10
10
00
00
00
00
10
01
11
10
01
11
11
00
11
10
00
10
01
10
11
00
11
11
10
01
00
10
10
00
00
10
00
10
11
11
10
00
10
00
10
00
01
11
10
00
01
10
00
10
00
01
11
01
00
10
10
00
01
10
00
00
10
11
10
00
01
00
01
11
10
10
00
00
11
01
00
11
11
00
10
10
01
00
00
10
11
00
00
00
10
10
00
01
01
10
10
01
10
10
11
01
01
00
10
10
10
00
11
01
11
10
00
00
11
00
01
10
10
11
00
10
00
11
11
01
10
10
00
00
00
00
10
00
01
10
10
10
00
00
01
00
11
11
10
11
01
11
11
01
00
11
00
00
11
01
00
11
10
00
10
00
00
00
10
10
00
01
10
00
01
10
00
00
00
10
00
00
01
00
10
01
01
10
01
00
00
10
00
01
10
10
01
10
00
00
10
10
10
00
10
10
01
10
01
10
00
00
10
11
01
01
11
00
00
10
11
01
01
11
11
00
11
11
10
01
00
10
11
10
01
01
00
10
01
00
11
01
10
00
00
01
10
10
00
00
11
10
00
11
10
11
01
10
00
00
10
00
00
11
10
00
00
10
10
00
10
00
00
01
00
01
10
10
00
00
00
10
01
10
00
10
10
00
00
00
11
00
11
11
10
10
11
00
00
00
10
00
10
01
00
00
00
10
11
10
10
00
10
10
10
10
10
00
00
10
10
00
11
01
00
00
10
00
00
11
11
01
01
11
11
00
00
10
00
00
10
10
11
01
01
01
10
00
00
00
10
11
10
00
00
10
00
00
00
11
11
00
00
11
00
10
10
01
01
01
11
10
00
10
01
10
11
01
01
10
11
00
01
00
11
00
00
10
11
10
00
11
10
00
00
11
10
00
10
00
10
10
10
00
10
10
00
00
11
10
10
00
10
00
00
10
00
00
00
10
00
10
11
01
10
00
10
11
00
10
00
00
11
11
10
10
00
01
01
00
10
01
10
11
00
11
10
10
00
00
11
10
10
00
00
11
00
11
10
00
00
10
00
01
00
10
11
01
01
10
01
01
11
11
11
01
11
10
00
10
10
00
01
11
11
01
10
10
11
10
00
00
11
10
11
00
00
00
10
00
00
00
11
11
11
00
00
00
00
01
11
00
01
10
11
10
11
10
01
01
10
11
10
11
00
00
10
10
00
00
10
01
10
10
00
00
10
00
10
10
00
01
00
00
10
10
11
00
10
00
01
10
00
11
11
10
00
00
00
10
10
11
11
01
00
10
10
01
01
10
00
11
00
00
11
10
10
00
01
10
00
01
11
00
10
11
10
10
00
01
01
10
01
10
00
10
10
01
10
10
00
10
00
10
10
10
11
00
00
10
00
10
10
01
01
00
10
00
10
10
00
11
10
01
00
01
11
10
11
01
00
10
10
01
01
10
10
01
11
01
11
11
00
10
10
00
11
10
00
10
11
11
00
10
10
01
10
01
01
10
00
00
00
00
00
01
10
10
00
10
01
01
00
11
11
10
10
11
00
00
01
11
10
11
01
01
10
10
01
10
11
00
00
10
00
11
00
00
11
11
11
00
01
10
10
00
10
10
01
10
00
10
11
10
10
00
00
00
00
00
10
00
01
10
00
00
10
01
10
00
11
10
10
10
11
00
01
10
10
01
00
10
00
01
10
00
10
00
01
11
10
11
00
00
00
11
01
01
00
10
10
01
00
10
01
00
11
00
00
10
10
10
11
01
01
11
11
00
10
01
00
01
10
00
10
00
00
00
00
11
10
01
10
10
01
10
11
10
00
01
10
10
11
00
00
10
00
01
01
10
10
00
00
01
00
11
10
10
01
00
00
11
01
00
10
00
11
00
00
11
11
10
01
11
11
11
11
10
10
00
01
11
10
00
00
10
00
01
11
10
10
11
00
00
00
10
01
11
00
01
10
10
00
10
10
00
00
10
10
00
00
11
00
01
00
00
00
11
00
10
01
00
00
11
00
00
00
11
10
00
00
10
10
00
00
11
00
00
00
01
01
01
00
11
10
10
10
00
00
11
11
10
10
10
10
10
10
01
10
00
00
00
11
10
01
01
00
10
10
11
00
00
10
10
00
00
11
00
00
10
10
10
01
10
10
11
00
00
00
10
01
10
00
11
10
01
00
10
11
00
01
00
11
10
11
10
10
10
11
11
00
01
10
10
10
01
00
11
10
00
01
00
00
00
00
10
00
10
11
10
00
01
10
00
10
01
11
00
01
10
00
10
10
00
01
10
10
10
00
10
10
01
00
11
00
10
10
10
00
00
01
10
10
01
01
00
00
11
00
11
11
00
10
10
00
00
10
10
00
11
01
10
01
10
10
00
00
11
10
00
01
10
00
00
11
00
11
00
10
11
00
10
10
11
01
00
10
00
11
00
00
11
10
01
11
00
00
00
10
10
10
10
01
10
01
00
01
00
10
00
10
01
00
10
11
00
01
01
01
01
00
00
10
00
00
11
10
10
10
10
01
10
00
00
10
01
00
10
10
11
01
10
01
00
11
00
10
10
00
00
10
11
01
00
11
10
10
11
00
00
00
01
10
10
10
11
00
01
00
01
00
00
10
11
10
10
00
00
11
00
00
00
00
10
10
01
10
00
01
01
01
11
00
00
01
00
00
10
10
00
10
10
11
00
10
01
00
10
10
10
01
00
00
01
11
01
00
11
10
10
01
00
00
10
10
00
00
10
10
10
00
01
10
00
00
11
10
00
01
00
00
11
00
10
00
00
10
11
10
00
10
11
00
01
00
10
00
10
10
00
00
00
00
10
00
10
10
10
01
11
11
00
00
01
11
10
00
01
10
10
00
11
10
00
00
00
00
10
11
11
01
01
00
11
10
10
01
00
00
11
00
01
10
01
00
10
11
00
00
10
10
00
10
11
01
01
11
00
00
00
10
10
01
00
10
01
00
11
11
10
10
10
10
11
00
00
10
00
00
00
00
00
10
00
00
00
10
10
11
00
00
11
01
11
10
00
01
00
10
00
10
01
01
10
00
10
00
10
01
10
10
00
10
00
10
00
00
01
00
11
00
00
10
00
00
10
10
00
10
01
11
00
11
00
10
10
00
10
10
00
01
10
00
00
00
11
00
11
10
01
10
10
00
10
10
10
10
00
10
10
10
11
10
10
00
10
11
10
10
00
01
10
10
01
10
11
00
10
10
00
01
10
01
10
01
10
00
00
10
11
00
01
10
01
11
10
00
10
10
00
11
10
10
10
11
00
11
10
01
10
01
01
11
01
00
10
10
10
10
00
00
11
10
01
00
10
01
00
01
11
01
00
00
11
10
10
01
00
10
10
00
00
00
00
10
00
10
10
10
00
01
10
10
01
00
00
00
11
10
11
10
01
00
10
11
01
00
10
10
00
11
00
01
11
10
11
11
11
10
00
00
00
00
10
10
00
00
00
00
00
00
10
01
10
01
01
01
01
01
11
00
10
11
01
00
11
10
01
00
11
01
01
11
10
11
01
10
10
10
00
00
10
11
10
00
00
11
10
11
11
01
00
00
10
11
00
01
10
00
10
01
10
11
10
00
00
01
00
01
11
10
11
00
11
11
10
00
01
00
10
01
00
00
01
10
11
10
10
00
01
10
01
10
11
01
00
11
11
10
00
11
10
00
10
10
01
00
10
10
00
01
00
10
10
10
11
11
00
01
01
00
10
00
11
10
10
01
00
00
11
10
10
11
01
00
10
10
00
10
00
10
10
10
01
01
10
10
00
10
10
00
01
11
10
10
00
00
10
10
11
00
01
11
11
00
01
10
10
11
10
01
01
10
11
00
00
10
01
10
00
11
11
01
01
00
11
01
10
11
11
00
10
10
00
10
11
10
01
00
10
11
10
10
10
01
10
00
01
01
10
10
10
10
00
00
10
10
00
11
00
10
11
00
01
10
11
00
10
10
00
01
10
00
10
00
00
00
11
00
00
01
10
01
10
00
00
10
01
00
10
00
11
10
11
00
00
10
00
00
11
11
01
10
10
00
10
00
10
11
00
10
00
00
11
10
10
00
11
10
10
11
10
10
11
10
00
00
11
00
10
11
01
11
00
00
11
11
11
01
00
10
00
10
01
11
11
00
01
01
01
00
10
10
00
10
11
10
01
10
00
01
10
10
11
10
00
00
01
11
00
01
10
00
00
10
10
10
00
00
00
00
11
01
00
11
10
11
00
10
10
00
00
10
11
00
00
01
10
10
10
11
01
00
10
00
00
00
10
10
10
10
00
01
00
11
01
01
01
00
01
00
00
00
11
10
00
00
00
10
11
11
10
10
00
00
01
00
01
01
10
00
10
11
10
10
00
01
00
01
10
10
10
10
10
11
11
00
01
00
10
10
00
11
10
01
00
11
00
10
10
10
01
00
00
00
00
10
11
01
11
10
01
11
10
00
10
10
00
10
00
10
10
10
10
10
10
01
10
10
00
10
00
00
10
00
11
10
11
00
00
00
01
10
11
10
00
10
00
11
10
00
01
01
10
11
11
01
10
10
01
00
00
11
00
10
00
00
00
11
00
11
11
10
00
00
10
10
10
00
10
11
00
11
10
01
01
11
10
00
00
11
00
11
10
01
00
11
10
00
00
01
11
10
00
10
10
11
10
10
00
01
11
11
10
11
00
10
00
01
00
10
01
00
00
10
10
10
00
10
10
01
11
11
01
10
10
00
11
10
11
00
01
10
10
10
01
11
01
01
10
01
10
10
11
10
00
00
10
00
10
11
10
01
00
01
11
10
00
00
10
01
01
11
01
00
00
10
00
00
01
10
01
10
00
00
11
00
11
01
00
11
00
11
11
01
00
00
10
00
10
11
00
11
00
00
10
01
00
11
01
00
11
01
00
10
10
01
10
10
00
00
10
10
10
00
01
00
00
10
00
00
10
00
11
11
00
10
10
01
00
01
10
11
00
01
00
10
10
10
10
10
11
11
10
10
10
01
00
10
00
10
00
10
00
00
10
00
10
11
10
11
01
11
10
10
00
00
01
10
10
00
00
11
10
11
01
10
11
01
11
10
10
00
10
10
01
00
10
10
00
10
00
11
00
00
10
00
00
01
01
10
00
11
11
00
10
10
00
00
01
00
11
10
11
10
01
10
11
01
00
11
11
11
01
00
01
10
10
01
00
10
10
00
10
10
11
00
00
00
01
10
01
01
10
01
00
00
10
00
00
01
10
11
01
10
11
00
11
10
01
00
01
10
11
10
00
10
01
10
01
11
10
00
00
10
10
11
00
01
10
00
11
00
01
10
10
00
10
11
00
10
11
11
10
00
10
00
00
11
10
10
00
10
10
11
10
10
00
00
10
10
01
00
00
10
11
10
10
01
11
01
10
01
00
01
11
10
00
10
11
10
00
00
10
00
00
11
01
00
00
10
00
10
10
00
11
10
11
01
00
00
10
10
00
00
10
10
11
10
11
10
01
00
00
10
11
00
00
10
10
00
00
00
00
10
00
10
00
11
10
11
10
00
00
10
10
10
00
00
11
10
10
00
00
10
00
11
00
00
10
00
00
11
10
00
10
01
11
00
00
00
11
11
00
10
10
11
00
10
00
00
10
11
00
00
00
10
00
01
11
11
10
01
11
00
01
11
00
00
10
01
00
10
10
01
11
11
10
00
00
00
10
11
01
01
00
11
00
11
10
00
10
10
00
11
11
01
00
11
10
10
00
00
10
01
00
00
11
10
01
10
10
10
01
11
00
00
10
00
11
00
01
01
11
00
10
00
00
01
10
11
00
00
10
00
01
10
00
01
10
10
00
10
10
00
00
00
10
11
00
11
10
00
01
10
00
01
11
01
11
10
11
00
00
10
00
11
01
11
10
01
00
10
10
01
00
10
10
10
00
00
00
10
11
00
00
00
01
10
01
01
01
10
10
11
00
00
10
00
01
10
11
00
00
11
01
01
01
10
10
00
00
10
00
01
11
10
00
00
10
10
01
00
10
10
11
00
01
11
00
10
00
00
00
11
00
01
00
10
10
10
11
10
01
00
00
10
00
11
10
10
00
01
01
00
00
01
11
10
10
00
10
10
10
01
00
00
00
11
01
00
00
10
10
11
10
10
00
10
10
11
10
01
01
00
00
11
01
00
10
10
00
10
10
10
00
00
10
10
10
10
01
11
01
10
01
10
00
10
01
01
10
10
01
01
10
00
10
10
00
00
10
11
00
11
00
11
10
01
11
10
01
00
10
10
00
01
01
00
10
01
00
10
01
00
10
00
00
10
11
00
10
10
00
10
00
10
10
01
01
10
10
11
10
01
00
11
00
00
00
10
01
00
10
11
01
00
10
10
00
10
00
10
10
00
00
10
10
00
00
01
10
10
10
00
01
10
00
11
10
00
01
10
10
10
00
10
10
01
10
10
10
11
01
01
10
01
00
00
01
11
01
00
10
00
10
11
00
10
11
00
00
00
10
00
10
01
11
10
10
11
00
10
00
00
10
01
00
01
00
11
11
00
10
10
00
10
10
00
11
00
11
00
00
11
11
11
00
10
10
01
10
11
00
01
00
11
10
10
11
01
00
11
10
00
10
01
01
11
11
00
10
00
11
11
11
01
00
10
00
01
00
10
11
00
10
10
10
00
00
10
01
11
11
10
00
11
00
11
10
00
00
11
10
10
00
00
10
00
00
10
10
01
00
01
01
10
10
00
10
10
00
10
00
00
10
11
00
10
11
11
00
00
00
00
10
01
10
10
10
00
01
00
00
10
10
11
00
11
00
10
00
00
11
00
10
00
10
10
10
11
11
11
01
10
00
00
11
11
00
00
11
01
11
11
11
11
10
00
00
01
10
11
01
00
01
00
10
00
00
10
10
00
01
00
10
00
01
10
10
01
10
11
01
00
01
11
10
10
00
00
01
10
01
00
10
11
11
10
01
11
11
10
00
00
00
01
10
10
00
10
01
01
10
00
11
10
00
00
10
00
10
11
01
11
11
10
10
10
01
11
10
00
00
10
10
00
10
10
00
01
11
00
01
10
11
01
10
00
11
11
00
11
11
10
01
10
10
01
01
10
11
10
00
01
10
00
10
11
00
00
00
10
00
00
10
01
10
01
11
10
10
10
00
01
11
11
00
01
00
10
11
00
10
00
10
11
00
00
00
10
11
10
10
01
01
01
00
00
00
10
10
11
10
00
11
11
11
10
01
10
01
10
11
00
01
11
11
11
10
10
00
00
10
00
00
00
11
10
10
10
10
10
01
00
00
01
10
10
11
10
00
10
10
10
10
11
00
00
10
00
01
10
01
11
10
00
10
00
10
10
01
00
01
01
00
10
01
10
00
00
10
10
01
10
01
00
01
00
00
00
10
00
00
10
11
00
00
11
10
10
11
10
11
10
10
01
00
01
00
11
10
10
11
10
10
00
01
00
00
10
11
11
11
00
01
01
00
00
01
00
10
00
00
10
10
00
10
10
10
01
10
11
00
10
01
01
00
10
00
00
11
10
00
01
11
11
00
11
10
01
10
10
00
10
10
00
00
10
11
10
00
10
00
01
11
01
11
11
01
01
00
10
00
00
10
00
00
10
00
01
10
01
00
00
10
01
00
10
01
00
10
11
01
00
01
11
00
11
00
00
10
00
01
00
01
11
00
10
00
10
01
10
10
01
10
10
10
00
10
10
00
11
10
11
10
11
10
10
10
01
10
10
01
01
01
10
01
10
10
00
10
11
00
10
01
11
10
10
11
01
01
00
11
11
11
00
00
10
11
10
00
01
10
10
00
00
10
10
00
10
01
10
00
00
00
11
00
01
10
10
00
00
10
00
10
00
11
10
11
11
01
00
00
11
10
10
10
10
01
00
00
11
10
01
11
10
00
01
10
01
10
01
00
10
10
10
10
00
00
00
10
01
11
11
01
10
10
00
01
00
11
10
00
10
11
01
10
10
00
01
00
10
11
01
11
10
01
00
01
10
01
11
01
00
10
11
10
00
11
10
00
11
10
00
00
00
00
00
00
11
10
10
01
00
00
11
00
01
10
10
00
00
00
11
01
11
01
10
10
11
10
00
00
00
10
00
00
10
11
00
10
00
10
00
10
11
10
01
00
01
10
00
10
11
00
00
01
11
10
01
01
10
11
11
11
00
00
00
10
00
11
10
11
00
01
11
01
00
10
10
10
10
00
10
10
10
00
10
10
10
00
00
11
00
00
10
01
10
01
10
00
11
11
00
01
00
10
10
00
10
11
00
00
11
11
00
10
10
00
11
00
00
01
00
00
00
00
01
00
11
10
00
01
01
11
11
01
01
11
11
10
00
10
10
00
00
10
10
00
01
11
10
00
00
00
01
00
11
10
01
11
00
01
01
00
10
10
01
00
10
10
10
10
00
00
10
10
00
10
00
00
01
10
10
01
11
00
00
11
11
10
00
10
00
10
11
10
10
00
01
00
00
11
00
10
10
00
10
10
10
00
00
10
11
10
10
00
00
01
01
11
10
01
11
01
00
01
10
10
00
00
00
00
10
10
00
10
00
01
11
01
00
10
10
11
11
00
00
10
11
11
10
01
00
10
00
00
11
10
10
01
11
00
00
00
10
10
00
00
10
00
00
00
00
00
01
01
01
11
01
00
01
01
11
11
00
00
00
10
11
01
11
10
11
01
10
01
10
11
10
00
00
00
10
10
10
00
00
11
00
00
00
10
11
10
00
10
00
00
10
11
10
01
00
10
00
00
10
11
01
00
01
01
10
11
01
00
11
00
10
10
01
00
00
11
10
00
11
00
01
10
10
01
00
00
00
10
10
01
01
10
11
10
00
00
10
00
01
11
10
11
10
01
00
00
00
10
10
01
00
11
10
10
01
01
00
01
11
11
11
10
00
01
00
11
10
00
01
00
00
01
00
10
10
10
10
01
00
11
00
10
01
00
10
10
01
01
10
01
01
11
10
00
10
10
00
00
01
00
00
10
10
01
10
11
10
01
01
10
00
10
00
01
10
10
00
00
10
00
10
10
10
01
10
00
00
00
10
01
00
11
11
00
00
11
10
11
10
00
00
10
10
10
10
00
01
00
01
00
10
00
01
01
00
11
10
01
10
00
11
00
01
10
11
00
10
11
01
00
10
00
00
01
10
10
10
10
00
11
10
10
11
10
10
01
01
00
00
01
00
00
10
00
10
01
00
10
10
00
10
00
11
00
00
00
10
11
10
00
10
10
11
01
10
00
01
10
10
00
01
00
10
11
10
00
10
00
00
11
10
11
10
11
10
00
10
10
10
00
11
00
10
00
00
00
00
11
11
00
01
00
11
01
10
11
11
00
11
11
01
00
10
11
00
10
00
01
10
11
00
10
00
00
01
10
00
00
00
10
10
01
01
01
10
01
00
00
00
00
11
11
01
00
10
01
00
11
00
10
11
01
00
00
00
01
10
10
10
11
11
00
11
11
10
11
10
01
00
00
10
01
00
00
00
10
00
01
00
00
11
01
11
10
01
00
00
10
10
10
10
00
11
11
00
01
10
01
10
10
01
00
00
10
10
00
10
10
11
01
10
10
10
00
11
11
10
10
00
11
10
01
00
10
10
00
00
10
11
01
10
01
01
11
00
10
10
00
00
11
01
00
00
01
00
10
10
01
11
01
01
10
11
00
10
01
01
11
10
10
00
00
01
10
11
00
10
10
00
00
01
10
10
00
11
00
11
00
00
00
10
00
11
00
00
00
00
10
00
10
11
00
00
00
10
01
10
11
00
11
10
00
10
10
00
01
10
00
10
10
00
11
01
00
10
10
10
10
00
00
11
00
10
11
00
00
00
11
11
11
00
11
01
10
10
11
00
01
10
10
10
00
00
00
00
00
01
10
10
10
10
00
01
01
00
11
11
00
01
00
10
11
00
00
01
00
11
01
00
10
00
01
10
00
00
00
00
10
11
10
10
00
10
10
10
01
10
10
00
10
10
00
10
10
00
11
00
11
10
01
00
00
00
10
10
00
10
10
10
10
00
00
10
10
00
00
01
00
01
00
01
10
11
10
01
11
10
01
01
10
11
10
01
10
10
01
10
00
00
00
01
01
10
10
10
11
00
10
01
10
11
00
11
10
01
10
10
10
00
00
10
00
00
00
00
10
11
10
10
00
10
01
11
11
10
00
10
00
00
10
01
00
11
11
10
10
00
10
11
00
11
01
11
00
01
00
01
00
00
10
00
00
00
10
10
00
10
00
01
10
11
01
11
00
11
11
00
11
00
10
10
00
11
00
01
10
00
00
00
00
10
10
00
00
10
11
01
00
10
00
10
11
00
00
01
10
11
11
10
00
11
00
01
00
10
00
00
11
10
00
00
10
00
00
10
00
01
10
11
10
10
10
00
10
11
00
00
10
10
10
00
01
10
00
10
10
01
11
11
10
00
00
00
10
00
01
10
00
10
00
01
10
10
11
11
00
00
00
10
10
11
10
00
01
10
10
01
00
10
01
10
11
11
10
10
11
01
10
11
00
10
00
01
00
00
00
01
00
00
11
10
10
10
00
00
00
01
10
10
11
11
01
10
01
00
01
11
00
10
10
00
10
11
00
01
11
10
00
11
01
00
11
11
10
11
00
00
01
11
10
10
10
00
00
01
10
01
00
01
10
00
10
00
11
00
00
11
10
10
10
00
10
10
11
10
10
01
11
10
10
11
11
11
00
01
00
10
11
01
11
11
00
11
00
01
10
00
00
00
10
00
10
11
10
10
11
00
01
01
00
10
00
10
01
11
11
00
00
00
00
10
00
11
10
00
00
10
01
11
01
01
10
00
01
10
01
11
01
00
10
10
00
10
01
00
10
00
10
00
00
00
11
01
10
11
10
11
00
00
01
11
10
11
10
10
01
00
10
10
00
00
10
10
10
10
10
01
11
00
00
10
01
01
10
11
10
00
10
11
11
10
00
00
00
11
01
10
10
11
01
11
11
10
01
10
01
00
00
10
10
01
11
11
00
00
01
11
01
10
10
00
10
00
10
00
01
00
11
01
00
11
10
10
00
10
10
10
00
00
10
10
11
00
01
00
11
11
01
01
10
01
00
10
10
00
01
11
00
01
01
11
01
10
10
10
00
10
00
00
00
10
10
11
11
00
00
10
01
10
10
00
01
00
00
10
10
01
10
00
00
10
10
00
00
10
00
01
00
00
00
11
11
11
00
11
10
11
10
10
11
01
10
01
01
10
10
00
00
10
11
00
01
00
11
11
10
00
10
00
10
10
00
10
10
00
00
11
10
10
11
10
00
00
00
11
11
10
11
10
01
10
00
00
11
01
01
00
01
00
11
01
00
11
11
01
01
00
10
10
01
01
11
00
10
01
00
10
00
00
10
10
01
00
01
00
10
00
01
10
00
00
01
11
11
01
10
10
00
11
10
11
00
00
10
10
00
10
11
00
01
10
10
01
00
00
10
10
00
10
10
00
01
10
10
11
10
00
00
00
00
00
11
10
10
10
10
00
10
10
00
00
10
01
10
10
11
10
10
11
10
00
01
10
10
00
00
10
00
10
00
10
11
00
10
11
11
10
01
11
10
10
00
00
00
00
00
10
11
00
00
01
11
01
11
10
11
10
10
00
01
10
11
00
01
00
10
00
00
11
11
10
00
01
01
01
00
10
10
10
01
00
01
10
11
00
01
10
00
10
11
01
01
11
10
00
00
00
00
10
10
01
00
11
01
11
00
00
00
00
11
10
01
00
11
01
01
01
10
01
00
11
10
00
01
00
00
10
00
00
10
00
00
11
11
10
10
01
00
00
01
11
11
00
00
11
11
10
00
11
10
00
10
00
10
10
10
10
11
00
01
00
11
00
10
10
00
00
11
11
01
01
10
00
11
00
01
10
10
00
11
10
01
10
00
10
00
00
01
01
10
01
10
00
10
10
10
01
00
10
00
01
10
10
01
00
01
00
01
10
10
10
00
10
11
11
00
10
00
10
10
01
10
01
00
10
01
11
00
00
10
00
10
10
01
10
00
10
00
10
00
10
10
00
00
10
10
11
11
00
11
10
11
00
10
10
01
11
11
10
00
00
11
10
01
01
11
00
00
00
10
01
01
10
10
00
10
10
00
10
01
00
10
00
10
10
10
00
01
00
10
00
00
10
10
10
10
11
00
10
00
00
00
00
00
11
00
01
00
00
10
10
10
11
11
00
00
10
10
10
10
11
11
00
01
00
00
10
00
00
10
00
10
11
01
01
11
11
01
00
01
10
00
00
10
00
00
00
00
11
00
10
01
10
10
00
11
10
11
10
11
10
00
01
11
01
10
10
00
01
10
01
01
10
10
00
00
11
10
10
01
10
11
11
00
10
00
11
10
01
01
00
10
00
01
10
11
10
10
00
00
11
00
01
10
10
01
01
10
10
10
10
11
00
00
11
11
11
00
11
10
00
11
00
10
00
01
11
00
01
10
00
00
00
00
10
11
00
00
10
01
10
00
11
10
10
01
10
10
00
01
10
11
00
00
10
10
00
00
10
11
10
00
10
11
10
10
00
00
10
00
01
00
00
10
01
00
01
11
10
00
10
10
01
00
10
10
10
10
11
01
00
00
10
01
00
11
11
10
11
11
00
00
10
11
10
01
00
00
00
11
00
00
11
01
01
11
01
10
00
10
00
00
10
10
00
01
10
10
01
11
01
00
11
10
00
10
00
00
11
10
11
01
00
00
10
10
00
10
10
10
11
10
10
01
00
01
10
10
10
11
00
00
00
11
11
01
00
10
10
00
01
00
11
10
10
00
00
10
01
11
00
00
11
00
10
00
00
10
01
00
10
01
00
10
00
01
10
10
00
10
10
00
10
00
00
11
01
00
01
00
01
00
00
10
10
10
01
00
00
00
10
00
01
11
01
10
10
10
10
11
10
01
10
01
00
01
00
10
10
00
00
11
00
00
00
11
00
00
00
00
11
00
11
11
11
00
00
10
01
10
11
00
01
10
11
01
11
10
00
10
11
10
00
00
10
11
10
10
00
00
10
10
01
00
10
10
00
11
00
00
00
10
10
01
11
10
00
10
00
00
10
11
00
00
11
11
10
11
00
01
10
01
01
00
00
11
00
00
11
11
00
00
10
01
10
01
10
10
01
00
00
10
01
10
01
01
10
10
00
01
00
01
11
11
00
10
10
10
11
00
10
11
00
00
11
00
11
11
01
00
01
11
10
10
00
10
11
01
00
00
01
01
11
00
00
10
00
01
11
00
00
10
01
00
11
11
01
10
10
10
00
00
00
00
10
11
01
10
11
11
00
10
10
00
10
00
00
10
00
11
11
00
10
10
00
00
10
10
00
10
01
01
11
01
00
10
01
10
01
00
11
10
00
00
00
00
10
11
01
11
11
01
00
11
11
10
00
10
10
01
00
10
11
00
10
00
00
00
10
00
00
01
10
11
00
11
10
00
00
10
10
00
00
10
10
00
00
00
00
10
00
10
00
11
11
00
10
01
00
10
00
01
00
10
00
01
11
10
10
11
10
10
10
00
00
11
11
11
11
10
10
11
11
00
10
10
00
00
10
00
00
01
11
01
10
10
00
01
00
10
10
01
01
11
00
10
10
00
11
01
00
10
11
00
00
10
10
10
00
11
11
01
00
00
00
01
01
11
11
01
01
00
00
10
10
00
11
10
10
01
10
10
01
10
00
10
11
00
10
00
00
11
10
01
11
10
00
11
01
10
10
00
01
10
00
01
10
00
10
10
01
10
01
00
00
10
00
11
10
00
00
01
11
10
10
10
11
10
11
00
10
10
11
00
01
10
10
10
10
00
10
00
00
00
00
11
00
11
01
00
00
11
00
00
00
10
10
11
00
00
00
01
00
11
10
00
00
10
10
10
11
00
10
00
10
10
11
01
00
10
01
01
11
11
10
10
11
00
00
11
10
01
11
00
11
11
10
00
01
10
10
00
00
01
00
01
00
00
10
10
11
00
11
10
00
10
00
10
11
00
00
00
00
11
01
00
11
00
10
00
00
10
11
01
01
10
11
01
00
10
10
11
01
10
11
00
11
11
00
10
10
00
01
10
01
00
10
10
10
11
10
01
00
10
10
11
01
00
01
10
11
00
01
11
00
00
00
00
11
10
01
00
00
10
00
10
11
10
00
00
10
10
00
00
10
11
00
00
10
00
10
11
10
10
11
01
00
00
11
10
11
00
00
00
11
10
10
01
11
00
00
01
10
11
01
10
01
10
10
00
00
00
10
10
11
10
01
01
10
00
00
00
10
00
01
10
10
10
00
10
10
10
00
11
10
00
01
00
00
10
00
10
11
00
00
01
10
00
00
00
00
10
00
00
10
10
00
00
00
10
00
11
11
10
00
01
11
11
01
00
10
10
00
10
01
00
10
10
10
00
00
10
10
00
00
10
10
00
01
00
01
00
01
01
10
10
00
10
10
01
01
01
10
10
10
10
11
11
10
10
00
00
11
01
00
10
10
00
00
10
01
00
10
11
11
10
01
10
00
00
00
11
10
01
00
11
00
00
00
00
11
10
10
01
11
00
11
11
11
00
00
10
10
10
00
00
10
00
01
11
10
00
00
11
01
01
10
11
00
10
11
01
10
10
01
00
00
11
11
01
01
11
01
11
00
10
00
00
10
11
00
01
00
10
10
00
10
11
01
00
01
10
10
00
10
10
01
10
11
10
10
00
00
01
00
11
11
10
11
10
11
01
00
10
01
01
10
00
01
00
01
00
10
10
10
01
00
10
11
00
00
10
10
00
10
11
10
00
10
11
00
10
10
01
00
10
00
00
10
00
10
10
00
00
11
00
11
00
00
00
11
10
00
10
10
11
11
01
00
10
10
10
00
01
11
11
11
11
10
00
10
00
01
01
10
10
10
01
11
00
10
10
10
11
10
11
00
01
10
01
00
11
01
01
11
10
00
00
10
11
00
00
11
10
01
10
10
01
10
10
01
00
10
01
10
01
01
10
10
01
11
10
00
01
10
01
10
00
11
10
00
10
11
00
00
00
00
11
01
00
00
10
00
00
01
11
00
00
00
00
11
01
10
10
01
11
11
11
10
00
00
10
00
00
10
11
01
00
10
01
00
10
11
01
00
10
01
00
10
00
00
11
10
10
01
01
11
00
10
00
01
10
10
00
01
10
01
10
01
10
00
10
11
00
00
10
10
00
10
10
00
00
10
10
00
00
10
00
10
01
10
00
10
10
11
00
00
11
01
01
00
01
11
00
00
10
01
10
00
01
11
00
00
00
01
00
10
10
11
10
11
11
00
11
00
00
11
00
00
00
01
10
10
01
01
00
10
11
10
11
11
10
00
00
01
10
10
00
00
01
10
10
00
10
10
00
00
00
00
10
11
11
11
00
00
00
01
11
11
00
11
10
10
00
10
10
00
00
00
10
11
10
11
11
01
00
01
00
10
01
00
10
10
00
01
10
01
00
10
00
10
10
00
00
10
11
10
10
11
11
01
11
00
00
01
10
00
01
10
10
10
10
00
01
10
11
01
00
00
10
10
11
00
10
10
10
00
00
01
00
11
01
00
00
10
00
00
00
11
00
00
00
00
00
00
11
10
10
11
01
10
11
00
00
00
11
00
11
10
10
00
11
00
10
11
00
00
01
00
01
00
11
10
01
01
11
01
00
01
10
10
01
10
10
00
00
10
10
00
01
00
01
10
10
10
10
11
00
00
11
00
11
00
00
10
00
10
10
00
00
10
11
01
11
10
00
00
00
11
00
00
10
00
00
01
00
10
10
01
11
01
10
10
01
11
10
11
00
00
10
00
00
10
11
00
11
00
00
00
10
10
10
10
10
00
01
00
01
01
00
00
11
11
10
11
10
01
00
10
10
01
01
10
11
00
10
10
01
00
00
00
11
10
01
10
10
11
10
01
00
10
11
10
00
10
11
00
00
00
11
10
00
10
10
00
00
00
11
11
10
11
00
10
01
01
01
11
11
00
00
10
00
00
00
11
10
00
00
10
10
10
00
01
10
10
01
01
01
11
10
00
10
11
00
01
10
10
00
10
11
10
11
01
10
10
00
00
00
10
10
00
10
11
11
01
01
10
10
10
00
00
01
00
11
10
00
00
11
10
01
10
10
10
10
10
10
01
01
10
10
10
11
01
00
00
10
00
10
10
00
10
10
10
00
00
10
01
01
00
11
00
01
00
01
01
10
00
01
00
11
00
00
10
00
00
10
01
01
00
10
01
00
00
00
11
01
00
10
10
01
10
11
00
00
11
11
01
11
10
11
10
11
11
00
00
10
10
01
11
11
00
01
11
10
01
01
00
10
00
00
00
10
11
11
01
00
10
11
10
10
01
00
11
01
01
10
11
00
00
11
10
11
00
00
11
00
00
10
10
00
00
00
01
00
11
11
00
01
11
01
10
00
01
11
11
00
01
10
10
00
10
10
01
10
11
00
10
11
01
00
10
11
00
00
00
00
00
10
01
00
10
10
10
00
10
11
00
10
11
00
00
01
10
10
10
00
01
01
10
11
10
01
00
11
00
00
10
11
10
01
11
11
10
00
00
00
00
10
10
01
00
11
01
10
00
10
01
01
11
10
00
00
10
00
00
11
10
00
00
01
11
10
11
10
00
01
10
01
00
10
01
11
10
11
00
01
10
01
10
10
01
00
01
10
11
01
10
10
00
10
10
11
10
00
10
10
00
10
00
10
10
11
01
00
11
00
10
00
00
01
00
10
11
10
10
10
00
10
00
00
01
00
10
00
11
01
00
10
11
00
11
00
11
11
01
00
11
00
00
00
10
01
10
10
01
00
10
11
10
00
00
10
11
11
10
00
00
10
11
10
00
11
10
00
01
00
10
01
10
11
00
01
00
10
11
11
00
01
10
00
10
10
10
00
10
10
01
00
00
10
01
01
10
10
00
10
10
11
00
00
00
00
00
00
10
10
10
10
10
01
00
11
00
01
00
10
10
11
01
11
00
00
10
00
10
10
01
01
10
10
00
00
00
10
01
10
11
00
00
10
00
11
10
10
00
10
10
01
01
11
01
01
01
00
10
01
00
10
10
01
00
00
10
11
00
01
00
11
11
00
00
00
11
01
10
11
01
00
00
00
11
01
00
11
11
11
11
10
01
00
10
00
00
10
10
10
00
11
00
11
10
01
11
11
11
10
11
00
00
01
00
10
11
00
10
01
10
01
10
10
00
11
10
01
00
00
10
10
11
11
00
00
10
10
00
11
01
11
01
00
00
00
01
10
01
01
10
00
00
00
10
10
01
00
01
01
11
10
01
10
11
10
10
00
10
00
00
10
00
00
00
11
11
00
00
11
00
10
01
00
10
10
00
11
10
00
10
10
00
01
10
10
00
00
00
00
10
01
10
10
10
01
00
10
11
00
11
00
00
01
00
10
10
10
01
10
10
00
10
00
01
11
10
10
11
11
00
10
01
00
00
10
10
00
00
10
10
11
11
00
10
00
11
01
00
10
11
00
00
10
10
01
01
10
01
10
10
00
10
10
11
00
00
00
01
01
00
00
00
00
00
10
10
10
01
01
11
01
10
10
10
10
10
11
00
01
01
10
10
00
01
00
10
10
10
10
00
00
11
00
11
00
00
11
00
00
10
10
10
00
10
01
10
10
10
10
10
00
10
00
00
11
01
11
10
00
10
10
10
00
10
10
00
00
01
00
10
10
10
10
00
00
00
10
00
11
01
10
10
01
11
10
01
00
01
00
10
01
00
00
10
00
00
11
11
10
11
10
10
11
10
00
11
00
00
11
11
10
00
00
11
00
11
10
00
10
10
10
01
11
11
10
01
10
11
10
00
00
10
11
10
10
01
00
01
11
11
11
10
11
10
10
00
00
00
00
10
10
00
00
01
00
01
01
00
10
00
11
10
00
00
10
00
10
00
00
10
10
00
00
00
10
10
11
00
00
11
10
00
01
10
00
10
10
10
10
00
11
01
01
01
01
11
00
11
00
01
10
11
00
00
10
10
11
00
11
00
10
10
10
10
11
11
00
11
00
00
00
00
11
11
00
00
10
10
11
10
01
01
00
10
11
11
10
00
11
10
10
10
10
10
00
10
10
10
00
10
00
01
00
11
01
01
11
00
01
11
11
11
01
10
00
01
11
01
10
00
10
01
00
10
00
11
00
11
00
10
00
11
00
01
11
00
11
11
01
10
00
10
10
00
00
10
10
00
00
11
10
00
01
10
00
11
10
00
10
10
10
00
00
00
01
10
10
00
00
10
01
10
11
10
01
00
10
01
01
00
10
11
00
01
00
01
10
11
11
11
00
10
10
10
01
00
10
01
00
00
10
00
10
00
00
01
10
00
00
01
01
00
10
10
10
00
00
10
10
10
01
00
10
00
00
00
10
00
10
01
00
00
00
11
10
00
01
10
00
10
00
00
11
01
10
10
00
00
10
10
00
00
11
01
11
11
10
10
00
00
11
00
11
10
00
10
00
11
10
10
00
00
10
00
11
01
01
10
11
10
10
11
00
00
10
11
01
01
00
10
11
00
01
01
11
01
10
01
01
01
11
10
01
00
10
10
11
01
01
10
10
00
00
00
10
00
00
10
11
10
00
11
00
10
10
01
10
10
01
11
00
01
01
01
10
00
00
11
00
00
10
10
10
00
00
10
10
10
10
00
00
00
01
11
10
00
10
00
10
10
00
11
00
10
00
10
11
10
01
00
00
11
00
10
00
00
10
01
00
10
00
01
00
01
11
00
10
11
10
01
10
10
00
00
11
00
10
11
10
01
01
11
01
11
11
11
01
01
00
10
10
00
01
11
00
01
10
00
00
11
10
00
11
11
00
00
00
01
00
00
11
11
10
00
01
00
11
11
10
01
01
11
00
00
10
01
00
10
10
10
10
10
00
00
00
11
01
00
10
10
11
10
10
01
10
11
01
11
01
01
10
10
00
00
00
10
10
00
01
01
00
10
11
10
10
10
00
10
10
01
00
01
10
10
01
01
10
01
10
10
01
00
10
10
00
00
01
00
10
10
00
00
11
10
01
00
11
10
10
10
10
11
00
00
01
00
00
10
01
01
01
10
00
00
11
11
11
10
01
11
10
01
01
01
10
00
01
11
01
00
10
10
00
01
10
00
00
01
10
11
00
10
11
10
10
10
00
00
00
10
10
00
11
01
11
10
00
10
10
00
00
00
00
01
00
01
11
10
00
00
10
10
11
01
00
10
11
00
00
10
11
00
01
11
10
11
00
11
01
10
10
01
10
10
00
01
10
10
01
10
01
01
11
10
00
00
01
11
11
01
10
01
00
10
00
00
00
01
00
10
10
10
11
01
11
00
01
10
00
10
01
11
10
00
00
11
01
00
10
00
10
01
11
11
00
11
10
00
00
10
10
00
10
00
10
10
11
01
00
11
00
01
10
10
01
01
10
10
11
01
00
10
10
00
01
10
10
11
10
10
00
00
00
10
01
00
11
01
01
10
00
00
10
00
00
10
00
00
10
00
10
10
10
10
11
10
00
00
00
10
10
00
00
00
01
00
10
11
10
10
10
00
01
10
11
00
10
00
00
01
10
00
00
00
10
10
01
00
10
00
10
10
00
00
10
10
10
00
01
10
01
00
11
11
00
00
11
00
00
01
11
00
11
00
10
00
11
11
00
00
10
00
10
11
00
10
01
00
10
10
00
00
10
01
10
00
10
10
00
10
01
10
11
01
10
01
00
11
11
00
01
00
00
00
10
10
10
10
00
10
00
00
10
10
10
01
11
00
11
01
01
10
00
10
11
00
11
10
10
10
10
00
01
01
10
00
01
01
00
01
10
01
11
00
00
10
10
01
10
11
00
00
10
10
10
01
10
01
10
01
00
00
00
10
10
01
00
10
00
00
00
00
10
10
10
01
10
10
00
10
00
01
11
00
00
11
01
00
10
10
10
11
10
00
00
01
10
11
00
00
01
10
10
10
00
01
10
10
10
01
10
10
10
00
01
11
00
11
10
10
10
10
00
01
10
10
01
11
00
10
00
00
00
11
10
10
00
11
10
00
10
00
11
10
01
10
10
00
10
00
01
11
10
01
10
11
00
00
00
10
01
10
10
11
01
10
00
10
10
00
10
00
00
01
11
10
00
10
01
10
11
00
10
10
00
01
00
01
00
11
00
00
11
10
01
00
11
01
11
11
10
01
00
10
10
00
00
11
00
10
00
00
10
00
11
00
01
10
10
00
00
00
01
00
10
10
11
00
10
10
01
11
10
01
11
11
00
11
11
10
00
01
10
11
10
11
01
10
11
10
11
00
11
00
00
11
00
01
10
00
00
10
10
00
10
10
00
00
00
10
10
00
10
00
11
10
10
11
00
00
10
10
01
00
00
01
01
10
01
01
10
11
00
00
10
00
00
10
00
00
00
01
11
01
10
01
10
10
00
00
10
10
10
01
00
11
01
01
00
10
10
01
01
10
00
10
01
10
10
00
01
10
11
01
11
10
00
10
10
00
00
00
11
00
00
10
10
01
10
01
10
00
01
11
01
11
01
10
11
00
00
11
10
00
01
10
11
00
10
11
01
11
00
00
11
10
10
01
00
10
00
00
10
00
00
10
10
00
10
11
10
10
00
10
00
00
00
01
01
10
01
10
01
10
00
10
10
00
00
10
10
10
10
10
10
00
11
10
01
11
11
00
01
00
00
00
10
10
10
00
10
01
10
10
00
10
10
01
00
10
10
00
00
10
00
10
10
00
10
11
10
01
00
10
10
11
11
10
11
00
11
10
00
10
11
01
00
01
11
00
01
00
01
00
10
10
11
10
01
00
10
00
01
00
11
00
10
10
01
01
11
00
00
00
00
11
00
10
10
10
11
10
00
00
00
01
00
11
00
10
11
00
10
11
10
00
01
10
10
00
11
01
00
10
11
10
10
10
00
01
10
01
10
01
10
10
00
10
10
00
01
10
01
10
00
10
01
10
00
10
10
11
10
00
01
11
00
01
10
11
00
00
10
10
00
00
11
10
10
10
10
01
10
10
10
01
10
00
10
10
00
10
00
00
00
01
01
00
10
10
00
01
10
00
10
10
01
10
10
10
10
01
00
00
10
10
00
00
10
10
10
10
10
01
00
10
01
00
11
11
01
00
00
01
00
01
11
10
11
10
00
10
10
01
11
01
00
01
11
01
10
10
00
11
00
01
10
10
01
10
00
10
00
00
11
11
01
01
01
00
10
10
10
00
01
10
11
01
10
00
00
01
01
10
10
10
00
10
00
00
00
10
11
10
10
00
00
00
10
00
01
11
00
10
10
00
00
10
00
10
10
01
00
11
10
00
10
10
10
01
01
10
11
00
00
00
01
10
00
10
11
11
10
10
01
10
10
11
00
00
00
00
11
00
11
01
10
11
01
11
10
01
00
01
00
10
11
00
11
00
10
11
11
01
01
10
01
10
10
00
11
10
01
00
11
11
01
01
10
01
00
00
11
00
00
10
11
01
01
10
11
10
00
00
01
10
10
10
00
01
11
10
00
01
11
11
00
10
11
11
10
00
01
00
00
11
10
10
00
10
11
00
01
00
00
11
11
10
00
00
11
10
11
01
11
10
10
00
00
00
10
10
00
00
11
11
01
10
10
00
00
00
10
00
00
00
00
01
10
10
11
00
00
10
10
10
01
10
00
00
00
11
10
11
01
00
10
11
10
00
00
10
10
00
00
01
10
01
01
10
00
10
10
00
10
10
00
11
01
00
00
01
00
11
00
10
10
10
00
10
00
01
00
10
10
11
01
11
00
01
01
00
01
00
10
11
10
00
00
10
10
00
00
10
10
11
11
10
10
00
10
10
10
10
01
01
10
11
10
00
00
10
10
00
00
10
10
10
10
01
01
00
01
11
01
00
01
01
01
11
11
11
10
11
00
00
00
00
11
11
10
00
11
01
10
01
00
11
11
01
00
11
00
10
00
00
10
10
10
00
10
11
10
10
00
00
10
00
00
10
00
01
00
10
01
10
01
11
00
10
11
00
10
11
01
00
10
00
00
00
10
11
10
10
01
01
01
11
10
00
11
10
10
11
00
00
01
10
00
01
10
01
10
10
10
10
00
11
00
00
00
00
11
11
10
10
01
10
00
11
01
11
10
01
10
10
10
10
01
01
10
10
11
10
01
00
11
00
00
10
01
10
10
10
10
00
01
10
11
10
00
10
11
01
00
00
11
11
00
01
10
00
11
00
10
01
00
10
01
00
10
11
11
11
00
01
00
10
00
11
10
00
00
00
11
01
11
10
11
00
10
10
10
10
00
00
11
00
00
01
00
10
00
00
10
10
00
00
11
10
00
00
00
11
00
00
10
11
01
01
01
10
11
10
10
00
00
10
10
01
10
10
00
01
00
00
00
10
11
01
00
10
00
01
00
00
10
10
10
01
11
00
11
11
00
11
00
00
00
10
10
10
00
00
10
00
10
11
00
11
01
10
01
11
11
00
00
10
11
10
01
10
00
00
00
00
10
00
01
00
11
00
10
10
00
01
00
11
10
00
00
10
11
10
10
10
10
00
01
00
10
01
00
00
00
10
01
00
10
11
10
00
10
00
00
11
10
10
10
10
01
11
11
00
00
00
00
10
10
01
01
10
10
01
10
00
10
10
00
01
10
01
11
10
10
11
10
10
00
01
10
10
00
10
00
00
10
11
11
00
00
11
11
11
11
00
01
10
11
00
10
10
00
00
11
00
00
10
01
10
11
00
10
10
01
11
10
00
00
10
10
10
00
00
01
10
00
00
00
00
11
00
00
10
00
01
00
11
01
01
10
00
00
00
10
10
00
00
10
01
00
10
00
00
10
01
11
00
10
00
00
00
11
10
01
01
10
00
00
00
11
10
11
00
10
01
10
11
00
10
00
10
10
00
10
11
11
00
00
00
10
10
11
11
01
11
11
11
10
10
10
01
00
10
00
10
10
00
00
10
10
10
00
10
01
00
01
00
00
00
11
00
00
00
11
10
10
00
00
10
11
10
01
01
00
01
00
01
10
00
00
10
01
10
01
01
10
11
00
00
00
00
10
10
00
01
10
10
10
00
10
00
10
00
11
01
10
10
10
10
00
10
10
11
01
01
01
01
10
10
01
10
10
11
01
01
10
10
10
00
11
10
01
01
00
10
00
00
11
11
10
11
01
01
11
01
01
10
10
00
00
10
10
00
00
10
01
11
00
00
10
11
01
10
00
00
10
01
00
10
00
10
10
10
11
10
10
00
00
00
10
00
11
10
01
11
10
10
10
10
10
01
00
10
11
10
00
10
10
00
00
10
10
01
00
10
11
10
01
01
00
10
11
00
00
10
11
01
01
10
11
10
00
00
00
00
10
01
01
00
10
00
00
10
10
00
10
00
00
10
11
01
11
10
00
10
00
10
10
01
00
00
00
10
10
00
11
01
10
00
01
01
00
10
11
10
00
11
01
01
10
10
10
00
00
10
00
01
00
10
00
00
10
00
10
10
10
00
01
00
10
11
00
10
00
00
11
00
11
10
00
00
00
11
00
11
01
01
10
00
00
00
00
10
10
11
00
00
11
10
01
10
11
00
10
00
00
00
11
10
00
11
00
00
10
10
11
00
01
01
10
00
01
11
00
00
11
01
00
10
10
00
11
10
10
00
01
10
00
01
11
10
00
00
00
00
11
01
00
01
11
10
01
01
01
11
10
00
00
01
11
01
00
10
10
10
01
00
00
00
10
11
11
01
00
10
00
10
00
01
00
11
11
01
00
10
00
00
11
10
00
10
10
01
01
10
11
00
00
10
11
10
01
10
10
11
00
00
10
10
10
11
01
10
01
00
00
10
00
01
11
10
00
11
10
00
10
11
00
10
10
00
01
00
10
00
00
10
00
10
10
10
10
00
00
10
00
00
01
11
11
10
10
01
01
11
01
00
10
11
11
10
10
01
01
00
00
11
01
00
00
10
10
10
00
00
00
00
11
10
00
00
01
10
11
10
01
00
01
10
10
10
00
01
01
00
10
10
10
00
10
10
00
01
10
00
11
11
11
00
00
11
10
01
01
11
11
10
00
01
11
10
00
00
10
10
00
10
10
01
10
10
01
00
10
11
11
10
10
01
11
10
10
01
01
11
00
01
10
10
10
10
00
01
00
10
01
00
10
10
10
00
01
10
11
00
01
11
10
01
10
01
00
10
01
00
10
10
00
00
00
10
00
01
11
10
00
10
00
10
10
00
10
10
11
10
10
00
11
10
10
01
01
10
00
00
00
01
00
01
00
11
00
00
00
01
10
00
00
10
11
00
10
10
10
01
11
10
01
11
10
00
10
10
00
01
11
10
01
01
10
01
10
01
01
11
11
00
11
10
10
00
00
10
10
00
00
01
10
01
01
00
00
10
10
01
00
00
10
01
00
10
01
00
11
10
00
11
01
00
00
00
10
10
10
00
10
00
01
00
10
10
11
00
01
11
01
00
10
00
10
11
01
00
11
10
10
01
00
11
10
01
10
10
10
00
00
10
00
00
00
11
10
00
10
11
10
10
10
00
10
10
01
01
11
00
10
10
00
10
00
00
10
10
11
10
10
00
10
10
10
11
11
01
00
01
11
00
00
11
11
10
11
00
10
11
01
11
00
00
10
10
01
11
01
00
01
00
10
01
10
10
00
10
11
10
00
10
00
11
01
11
11
10
01
00
11
00
00
10
11
11
00
10
00
11
11
11
10
01
11
10
00
00
10
11
00
00
00
11
11
00
01
11
00
01
01
00
00
00
11
00
00
11
10
01
10
10
00
10
11
10
00
00
00
10
00
10
11
00
00
10
11
10
11
00
01
10
00
10
00
11
11
00
01
11
10
10
01
01
10
10
11
00
00
10
11
10
00
00
00
10
01
00
11
10
10
01
10
00
00
00
10
01
10
00
01
00
11
11
11
10
00
00
00
00
10
11
01
10
10
11
10
11
10
00
00
10
01
01
11
11
00
01
00
01
11
11
01
01
11
11
10
01
00
11
10
00
01
11
01
01
01
11
11
00
10
11
10
01
00
11
11
00
01
11
10
01
11
10
11
00
01
10
01
01
00
00
01
00
10
10
00
10
11
01
00
10
10
10
11
00
01
10
10
01
00
10
00
11
10
01
11
00
10
00
01
00
01
10
10
01
01
10
10
10
00
10
11
00
00
10
00
10
00
00
10
11
00
01
00
00
10
10
00
00
00
10
10
00
00
11
00
00
01
11
01
01
10
10
11
00
00
01
10
11
00
00
10
00
01
10
10
00
00
00
00
00
11
10
00
00
10
10
11
01
01
11
11
10
00
00
10
01
00
11
10
00
11
01
10
00
10
00
00
10
00
10
11
01
01
10
11
00
10
10
10
00
00
10
10
01
00
00
10
00
00
10
01
11
01
10
10
10
01
00
00
00
10
00
10
10
00
01
11
00
11
00
00
11
01
10
11
10
00
00
11
00
10
11
00
00
00
10
10
00
00
10
00
00
10
10
10
11
00
00
10
10
00
10
10
10
00
00
00
10
10
10
10
01
10
10
10
11
00
11
01
11
11
00
10
11
00
00
11
11
00
01
10
11
10
01
10
00
00
10
11
01
00
10
01
11
10
00
11
01
00
10
00
11
10
00
00
10
10
10
00
00
10
10
00
01
10
10
10
11
01
11
01
00
10
10
00
00
10
10
00
00
01
00
00
11
10
10
11
11
10
01
01
11
11
10
10
10
00
00
01
11
10
01
00
10
01
10
10
10
11
10
00
01
00
01
00
00
10
01
00
01
01
10
10
11
11
00
00
10
10
10
10
01
00
10
10
00
00
00
11
10
00
10
00
10
11
10
00
10
00
00
10
00
10
10
11
10
01
01
01
10
10
00
11
10
00
10
01
00
10
00
00
01
00
00
10
01
01
00
11
01
00
10
00
10
10
10
10
11
11
10
11
00
00
10
11
00
11
10
00
00
11
01
00
01
11
10
00
00
00
00
11
10
00
10
01
10
00
10
10
00
01
01
11
01
00
10
10
01
11
10
00
01
00
11
10
10
00
01
10
11
00
10
01
00
10
00
01
10
00
10
10
01
01
11
11
00
01
10
11
00
00
10
01
01
10
10
00
00
01
11
10
00
10
00
01
10
00
00
00
00
00
00
00
11
10
11
00
00
01
11
00
00
10
11
00
10
10
10
10
10
00
00
00
00
01
11
10
11
01
01
10
00
00
11
01
00
10
11
01
00
00
00
10
01
10
11
11
00
11
10
00
10
00
01
11
10
00
00
11
10
10
01
10
10
00
11
01
10
10
00
01
11
11
00
00
11
11
00
01
00
11
01
00
10
00
01
10
01
01
01
00
11
10
00
10
10
01
11
00
00
00
11
00
10
01
11
00
01
11
10
00
00
00
10
10
00
11
10
10
00
00
10
10
10
11
10
00
00
10
01
00
11
10
11
11
01
11
01
01
11
01
00
10
11
01
11
11
01
00
00
10
00
00
10
10
01
01
11
10
11
00
01
01
00
11
10
11
00
01
10
00
00
01
10
00
10
10
01
01
10
10
00
01
10
01
10
11
00
00
10
00
11
10
00
01
00
01
11
11
10
11
00
01
00
11
10
11
11
00
10
11
00
10
11
00
01
10
00
11
00
00
00
00
00
11
10
00
10
00
10
00
11
00
00
00
11
10
10
01
10
01
00
00
10
11
00
01
11
10
00
00
00
10
11
00
11
10
10
10
11
00
11
11
01
00
00
10
10
10
11
00
00
10
01
00
00
10
11
00
10
10
01
01
00
01
10
00
10
10
10
10
10
00
10
10
10
10
00
10
00
10
00
00
11
10
10
10
01
10
00
01
00
01
00
00
10
00
10
11
10
00
10
10
10
00
00
11
00
10
10
01
10
11
11
00
10
10
10
10
11
11
01
00
11
11
11
00
11
11
00
10
00
00
01
10
11
00
01
00
10
10
01
01
11
11
01
00
00
10
00
10
00
11
10
11
00
00
00
10
00
00
10
00
10
10
01
10
10
01
11
00
11
10
10
10
00
10
11
00
00
11
11
00
01
00
00
11
10
00
10
11
00
00
11
10
11
11
00
11
00
10
11
00
01
10
10
00
10
10
10
10
00
00
00
00
11
01
10
10
00
10
01
10
11
00
00
11
00
00
11
11
00
11
10
00
00
10
00
01
10
11
00
00
10
00
11
00
10
11
01
00
10
10
00
11
10
10
00
00
00
10
00
01
10
10
10
00
10
10
10
11
00
10
00
00
00
00
10
00
10
11
10
00
01
11
01
00
00
00
10
11
00
11
00
00
00
01
10
10
00
11
00
01
11
01
01
00
00
11
10
00
10
10
01
00
10
01
01
00
11
10
00
00
00
01
10
10
10
00
11
00
10
10
10
00
00
00
11
11
00
10
01
10
00
00
11
10
11
00
01
11
10
00
10
11
10
00
00
10
01
11
10
00
00
10
00
10
11
00
00
11
11
01
00
10
10
00
11
11
00
10
10
01
00
01
10
00
01
10
11
10
10
01
11
10
01
00
10
10
00
10
00
01
10
00
00
10
10
00
01
00
00
01
11
10
10
01
00
10
10
00
01
10
10
10
00
01
10
10
01
11
00
10
10
00
00
00
00
11
01
10
11
10
00
00
10
01
00
11
10
11
10
00
10
00
00
11
10
01
00
00
00
01
00
11
00
00
00
01
00
11
10
00
01
01
10
11
10
00
00
10
10
10
00
00
00
11
00
11
00
01
00
10
11
01
10
00
11
10
10
11
01
11
10
00
01
00
10
10
00
00
10
01
00
00
10
10
10
00
00
00
10
10
00
10
10
00
00
01
11
10
10
10
10
00
11
01
00
11
10
00
10
01
01
10
11
10
10
00
10
00
11
00
00
11
11
00
10
11
00
11
10
00
01
10
00
00
10
11
00
00
10
00
00
11
10
10
00
11
01
10
00
01
00
10
11
00
10
10
11
00
00
10
01
01
00
10
00
00
11
01
10
10
01
11
10
01
00
10
00
10
10
00
00
10
00
10
11
11
00
10
10
01
00
10
00
11
10
00
00
10
01
10
00
01
10
01
00
10
11
11
01
10
11
01
11
10
10
10
00
00
11
00
00
11
01
01
10
00
01
10
00
11
10
00
11
10
00
00
10
11
00
01
11
00
00
10
00
00
10
10
00
00
01
00
00
00
10
01
00
10
10
10
10
10
11
00
01
00
10
10
11
10
00
01
10
01
10
00
10
00
10
01
10
10
11
10
10
01
01
10
01
00
01
11
11
00
00
10
10
11
01
00
10
01
00
11
10
11
00
10
11
00
10
10
10
10
10
00
11
11
00
01
10
11
11
10
00
00
10
01
00
11
10
10
10
10
11
10
01
01
10
00
00
11
10
00
01
11
10
00
00
00
11
11
00
00
00
00
11
01
00
01
00
10
11
10
10
10
10
01
00
10
10
00
11
11
00
00
00
01
00
00
10
00
11
00
01
11
10
11
00
00
11
10
01
10
00
11
00
01
01
11
10
00
11
00
11
10
11
01
00
10
00
00
11
00
00
10
01
01
10
00
00
00
00
00
10
10
10
10
01
01
00
00
10
10
10
01
01
10
00
10
01
01
11
01
01
00
10
00
01
00
10
10
00
11
10
10
01
00
11
01
00
00
10
11
11
00
00
11
10
10
01
10
10
00
00
01
01
10
10
01
10
00
00
10
01
10
01
10
00
00
10
10
10
11
00
10
10
00
00
00
00
01
10
11
00
11
00
00
00
01
10
11
10
00
00
00
00
00
00
00
00
00
10
01
00
01
10
11
00
00
00
10
10
01
01
11
00
10
01
00
10
10
10
10
11
10
01
01
01
11
11
11
11
10
01
01
10
00
01
10
10
10
00
00
10
11
11
00
10
11
10
01
10
01
00
10
01
10
10
11
10
00
11
11
10
01
01
11
10
00
00
10
10
00
11
10
00
00
00
10
00
11
11
11
10
01
10
10
00
10
01
00
10
10
10
00
10
11
01
10
00
00
10
00
10
10
10
10
10
00
00
00
00
10
10
00
10
10
01
10
11
00
11
10
10
10
10
01
10
11
01
01
10
11
01
00
00
10
11
10
10
10
00
01
10
01
00
01
11
00
10
10
00
01
01
11
00
01
10
10
00
00
00
11
10
00
01
10
10
00
10
10
10
01
00
11
00
10
10
00
00
00
10
00
00
01
01
10
10
00
01
10
11
00
10
00
01
11
10
10
00
10
00
01
10
10
10
11
10
00
11
01
01
10
10
01
00
00
01
10
10
00
10
10
00
00
10
01
00
00
10
10
10
00
10
10
10
10
11
11
00
11
10
10
00
01
10
10
00
00
10
00
01
11
00
00
10
10
01
01
10
10
01
11
11
00
01
10
10
10
00
00
11
10
01
00
00
10
00
11
10
11
10
10
00
10
00
10
10
00
00
10
00
10
10
10
10
11
01
00
10
10
01
10
10
00
00
10
01
01
00
10
10
11
00
00
00
10
11
10
01
10
01
11
00
10
00
00
11
00
00
01
10
00
00
01
00
01
10
01
11
00
01
10
10
01
11
00
10
00
01
00
10
10
10
01
11
00
01
01
10
01
01
11
10
00
00
00
11
10
10
00
11
00
00
00
01
11
00
01
00
11
00
11
01
00
11
10
00
01
10
10
00
01
10
00
00
10
00
01
00
10
00
00
11
11
11
11
11
10
10
11
00
11
10
00
10
01
11
10
00
00
10
10
01
00
10
01
00
10
00
00
00
00
10
10
00
01
01
00
00
10
11
01
11
00
01
10
00
00
11
11
00
01
10
10
11
00
10
01
01
10
01
11
00
01
10
10
11
00
01
11
10
10
00
00
11
10
00
01
10
10
00
10
10
10
11
00
00
00
00
10
10
00
11
11
11
00
00
10
10
10
11
10
00
01
00
11
10
00
00
10
10
00
01
10
00
00
10
00
11
01
01
10
00
01
10
10
10
00
00
10
00
10
11
00
11
01
01
10
10
11
01
01
00
10
11
11
00
10
00
00
10
10
10
10
10
01
01
10
01
10
01
10
10
00
11
00
01
00
11
01
00
11
10
00
11
10
00
01
10
10
11
10
00
00
10
00
01
10
10
10
00
10
00
01
10
01
00
10
10
00
10
10
01
10
00
00
10
00
10
10
10
00
00
11
01
10
00
00
00
11
00
00
10
11
01
01
11
11
10
00
10
10
10
01
00
11
00
00
10
11
00
00
00
11
00
01
00
01
10
11
00
10
11
00
01
10
10
00
01
11
00
10
11
11
00
10
00
10
10
00
01
00
00
10
10
10
10
00
10
01
11
00
10
10
10
00
00
00
00
00
00
10
00
00
00
10
00
10
00
10
01
11
11
10
10
00
00
00
11
00
10
10
00
11
01
10
00
11
11
00
11
00
11
00
01
00
10
01
00
01
10
00
00
00
00
10
11
01
10
00
10
00
10
01
10
10
10
10
00
01
10
10
01
00
10
01
00
00
10
00
00
11
11
10
11
10
00
00
00
01
01
10
11
00
10
10
11
10
10
00
10
00
10
01
10
01
00
10
10
01
00
10
10
01
00
11
00
10
00
00
00
10
00
00
00
00
11
10
00
11
00
00
10
00
00
11
10
10
10
11
11
00
11
10
01
10
01
00
00
00
01
01
10
00
00
00
10
10
11
10
01
00
11
11
10
00
00
00
01
10
11
11
11
10
00
11
10
10
00
01
10
11
01
01
00
10
00
10
01
01
10
10
11
00
00
01
11
11
00
10
01
10
00
01
00
11
10
00
00
10
00
10
10
00
11
00
10
10
00
00
01
11
10
00
10
01
10
10
00
00
00
10
00
10
11
00
01
01
10
00
11
10
10
10
10
00
00
00
00
01
11
01
11
11
10
00
00
10
10
00
00
00
10
01
10
10
10
00
11
10
01
10
10
00
10
10
00
00
10
00
11
00
10
01
11
01
01
10
11
01
11
00
00
01
11
10
01
10
11
00
10
00
00
11
10
11
00
10
10
01
00
00
11
10
01
01
01
10
11
00
11
10
10
00
00
10
10
01
00
00
10
11
00
01
11
10
00
01
10
00
00
10
10
01
00
01
01
10
00
00
11
10
00
01
10
10
10
11
00
00
10
11
01
00
10
10
10
11
11
01
00
10
01
00
11
01
11
11
11
10
00
00
01
11
10
00
00
10
00
00
11
11
11
00
10
10
00
00
10
00
00
00
10
11
00
10
10
01
01
10
10
00
01
00
00
11
00
10
00
00
00
10
01
00
00
11
11
10
10
00
00
10
10
10
11
01
00
11
11
10
10
10
10
00
00
10
10
11
10
11
11
00
10
00
00
10
10
01
00
00
01
11
01
10
11
00
00
10
10
10
01
10
01
10
10
00
10
01
00
00
10
01
10
10
00
10
10
00
11
10
00
00
10
00
01
01
01
00
10
10
10
01
00
10
10
11
00
01
00
01
01
10
00
00
10
11
00
01
11
10
10
10
01
01
00
10
10
10
00
10
10
00
10
11
11
10
10
01
01
01
11
10
11
01
01
11
00
10
10
00
11
11
00
00
00
00
00
10
00
01
10
00
10
11
10
10
01
11
11
00
01
01
11
10
10
10
00
10
10
00
00
10
01
10
10
10
00
01
01
01
10
00
11
10
00
00
01
00
00
10
00
00
00
10
11
11
01
10
00
11
10
11
00
00
00
00
11
01
00
10
11
11
10
00
10
00
10
00
11
10
10
00
00
11
01
01
01
00
00
01
10
10
10
01
10
11
11
11
10
00
10
10
01
00
00
10
00
00
00
11
10
01
00
01
00
01
10
10
11
01
00
11
11
00
10
10
10
00
10
10
01
11
01
11
00
00
00
00
10
00
00
10
10
11
11
11
00
01
10
10
00
00
10
00
10
10
11
01
00
01
00
00
00
11
00
10
00
00
11
10
10
10
00
10
01
11
00
10
10
11
11
01
11
01
10
01
01
11
10
00
00
10
10
00
10
10
10
01
01
00
00
00
10
10
11
01
10
01
00
11
01
11
00
11
00
11
11
00
00
10
11
00
00
10
11
00
10
00
01
01
10
10
10
11
00
00
10
00
10
10
11
10
10
00
01
01
10
01
00
10
10
00
00
11
10
00
10
11
10
01
10
10
10
00
01
01
10
00
00
10
11
10
10
01
00
10
00
00
10
10
00
11
01
01
10
11
00
11
11
00
00
00
10
10
00
00
10
00
00
00
10
10
11
11
00
00
00
00
11
00
10
00
10
10
10
00
00
10
11
11
00
10
01
00
10
10
00
00
10
10
10
01
00
01
10
01
11
10
00
01
10
10
10
00
00
11
10
00
01
10
01
00
11
00
10
00
10
10
00
00
10
10
10
00
11
10
01
10
10
11
10
00
00
00
10
00
11
10
10
10
00
11
10
10
10
10
10
01
11
01
10
00
10
00
11
10
00
01
11
10
11
10
00
00
10
10
00
00
10
10
10
10
00
10
11
01
01
00
01
10
11
10
10
11
00
01
10
11
00
01
00
11
00
10
00
01
01
11
11
00
01
10
01
10
10
00
00
00
10
00
11
00
00
10
10
11
01
00
00
01
10
01
00
01
10
00
11
10
01
11
11
00
11
01
00
11
10
00
00
00
10
11
00
10
10
00
10
00
00
00
10
10
11
00
00
10
01
00
01
11
11
01
00
00
10
11
00
10
10
10
01
00
00
01
10
00
00
10
00
11
00
11
11
00
10
00
10
00
10
11
11
01
10
10
11
00
11
10
00
01
00
00
00
10
10
00
11
10
10
01
10
11
01
01
10
01
10
10
01
10
10
01
10
10
10
10
00
01
01
10
10
10
01
10
10
00
01
11
01
10
11
10
01
00
00
11
10
00
00
01
11
00
01
10
11
10
11
00
00
01
00
10
10
11
10
10
11
00
10
10
00
01
01
01
10
10
10
10
11
00
10
10
00
10
01
01
00
00
10
10
11
00
10
11
01
10
10
01
00
10
00
00
00
10
10
10
10
00
00
10
11
00
00
10
10
00
10
10
10
11
11
01
01
00
10
00
00
01
00
11
11
10
10
11
00
00
00
00
10
10
10
00
01
01
00
10
01
11
10
10
01
01
01
11
00
10
10
11
10
10
11
00
00
10
11
10
01
00
10
00
00
01
00
01
11
00
10
01
10
10
11
01
00
10
10
00
00
10
00
00
10
10
00
10
00
00
10
00
11
01
10
11
00
00
10
00
00
00
10
01
00
00
11
00
10
11
00
01
10
10
11
00
00
10
01
11
10
10
01
10
01
01
11
10
00
00
10
10
00
00
10
10
10
11
00
11
01
00
01
11
11
00
10
10
01
10
10
01
00
11
10
01
10
11
00
10
01
00
00
01
10
11
10
10
00
01
00
01
11
00
00
00
01
00
10
10
10
00
10
11
00
00
10
00
10
11
01
11
10
10
10
11
01
11
01
10
01
00
10
10
00
01
10
01
00
01
00
01
10
10
00
01
10
11
10
00
01
01
00
10
11
00
01
10
10
10
00
00
00
00
10
01
01
00
10
00
10
10
10
00
00
01
10
00
11
00
10
10
11
11
00
01
10
01
11
00
10
10
00
00
00
10
11
00
00
10
10
11
01
10
00
00
00
10
11
10
01
10
00
11
11
11
01
00
11
10
00
00
10
10
00
11
11
10
10
11
10
00
00
00
10
10
00
10
00
00
10
01
10
10
11
00
10
11
00
10
01
10
10
10
00
01
01
10
00
11
11
00
00
01
00
00
10
11
00
00
11
11
01
00
01
01
11
11
10
00
00
00
11
11
00
11
10
00
00
00
01
11
10
01
00
00
10
11
11
11
00
00
10
11
10
01
00
10
11
00
00
00
01
11
10
00
11
10
10
10
00
10
00
00
00
11
11
01
11
01
10
11
11
00
00
11
10
11
10
00
11
10
00
11
11
10
10
00
11
01
00
10
10
00
00
10
00
00
11
00
11
11
10
11
01
01
01
00
11
01
11
10
11
00
00
00
11
00
00
11
01
00
10
01
00
01
10
00
11
10
00
10
10
00
10
00
00
10
11
00
00
10
10
10
10
00
00
10
10
01
11
01
00
11
00
10
01
11
00
10
10
00
01
00
10
10
10
10
11
00
00
11
00
00
11
01
10
01
00
10
00
11
11
00
10
00
10
01
10
10
10
10
01
00
11
10
10
00
00
10
01
11
10
00
00
00
10
00
01
00
01
00
00
10
10
11
10
10
01
00
11
00
01
00
00
10
01
11
10
01
01
10
11
00
10
11
10
00
00
10
10
00
10
11
10
10
10
01
00
00
01
00
00
00
11
10
11
00
00
11
11
11
00
01
11
00
01
10
11
10
00
00
00
01
11
00
00
00
00
10
00
00
00
11
10
00
10
00
11
01
11
00
01
10
10
10
00
00
10
10
10
00
00
10
00
01
11
01
00
10
10
11
11
00
00
10
10
11
01
00
10
00
01
10
10
10
10
10
10
10
00
10
00
01
00
10
10
10
00
10
10
01
01
00
10
00
11
11
01
00
10
10
00
00
11
00
10
10
10
00
00
00
10
10
00
01
11
10
10
10
10
00
00
10
11
11
01
00
01
00
01
00
00
11
11
01
01
11
11
01
00
00
11
10
10
01
00
10
10
11
01
00
10
11
01
00
01
10
00
01
00
11
01
10
10
00
10
10
00
00
00
10
10
00
00
01
10
10
11
00
10
10
10
00
10
10
00
11
00
10
00
11
11
00
00
10
00
00
10
00
11
00
01
01
11
10
10
11
11
00
00
10
01
00
00
00
11
11
00
11
11
00
10
10
00
10
00
10
11
01
00
01
00
11
00
01
10
00
00
10
00
10
00
01
00
11
01
10
00
00
01
11
11
00
10
11
00
11
10
11
10
00
10
01
00
10
10
00
10
01
10
01
10
00
00
10
11
00
11
01
11
00
11
10
10
00
00
10
10
10
01
10
10
00
11
00
11
10
00
00
10
10
00
10
11
00
11
11
01
11
11
01
11
10
00
11
10
01
00
10
01
00
10
01
00
01
01
11
11
00
00
01
11
11
00
11
10
10
00
01
10
01
00
10
01
01
00
00
10
10
10
00
01
00
10
10
01
10
10
10
11
01
10
00
01
00
11
00
10
00
00
10
00
10
10
00
11
10
01
01
01
10
10
00
01
00
11
01
00
10
01
00
00
10
11
00
00
10
11
01
01
00
11
11
00
10
00
00
10
10
11
10
00
00
01
11
11
01
10
11
01
10
11
01
01
00
10
10
11
01
00
00
10
11
10
00
00
00
10
01
10
10
00
00
11
10
00
11
00
00
10
11
00
00
10
10
11
01
10
00
11
10
10
10
01
00
00
00
00
00
00
01
10
10
00
01
10
10
01
00
00
10
01
10
11
00
11
10
00
00
00
00
10
00
00
00
10
00
00
10
11
01
10
00
10
01
10
11
00
11
10
11
10
01
01
10
11
10
11
00
00
00
10
10
00
00
00
11
10
10
00
00
10
10
01
00
10
01
00
10
01
01
11
11
00
11
00
01
10
10
01
00
10
00
10
10
00
11
11
10
01
00
10
00
11
00
00
10
01
00
01
10
10
00
11
01
01
00
10
00
10
11
00
01
11
00
00
10
10
00
10
10
10
00
10
10
00
01
01
11
10
00
10
01
01
10
01
01
00
01
00
00
11
10
10
00
01
10
11
00
00
11
10
10
00
11
01
00
10
00
10
00
11
00
10
00
00
00
11
10
01
01
00
00
00
00
11
11
01
10
10
11
10
10
11
00
01
10
01
00
01
00
10
00
00
00
10
00
00
11
10
10
00
00
00
01
10
11
10
00
10
10
00
00
01
10
01
01
11
10
11
11
01
11
10
10
00
10
00
00
10
10
10
00
01
11
01
10
00
10
11
11
10
00
00
00
10
10
10
10
10
00
00
11
10
11
10
10
00
10
00
11
00
10
10
00
00
10
00
00
11
00
01
00
00
01
00
10
00
00
10
01
00
00
10
10
00
00
10
11
11
01
00
11
11
00
00
00
00
10
00
11
11
01
10
11
10
10
00
00
01
11
11
00
00
10
00
00
00
11
00
01
00
10
10
10
11
01
01
10
11
10
10
01
00
01
11
10
01
00
10
11
10
10
10
00
01
01
01
00
00
10
10
00
10
00
00
10
00
10
01
01
00
01
10
00
01
10
01
11
00
11
00
00
11
01
00
11
01
00
01
10
00
10
01
11
11
11
00
00
00
01
11
11
00
00
10
10
11
11
01
00
11
11
11
00
10
10
00
01
01
10
10
10
10
00
00
10
00
11
10
10
00
00
01
10
10
00
00
10
10
00
01
11
11
00
01
01
11
00
00
10
00
01
11
10
10
00
00
10
00
00
01
11
10
11
01
11
10
00
10
10
00
00
10
10
11
11
01
00
00
00
00
01
10
11
00
00
11
01
00
00
10
10
11
11
11
00
01
00
11
00
00
01
11
00
01
00
11
11
01
01
11
10
01
00
00
11
00
01
11
10
00
00
10
11
00
11
10
01
00
00
01
10
11
00
11
10
01
01
00
10
10
11
11
00
01
00
10
10
10
00
10
00
01
10
11
10
10
01
11
11
10
10
00
10
00
10
11
00
10
00
10
01
00
10
00
00
00
11
10
00
11
00
11
01
11
00
10
10
10
10
00
10
10
00
00
10
10
01
00
11
00
00
10
11
10
11
11
10
11
01
10
10
11
00
11
11
00
10
11
00
00
01
10
10
01
10
11
11
01
10
00
10
01
01
11
10
00
10
01
01
00
11
11
00
11
00
01
11
10
11
10
01
00
00
10
10
10
01
11
11
00
01
00
01
10
11
10
01
10
10
00
00
01
10
10
01
00
00
11
00
00
10
10
10
10
00
11
11
00
01
10
00
00
00
00
10
00
00
00
11
00
01
00
00
11
10
11
00
10
10
00
00
11
00
10
01
00
00
10
10
11
01
00
10
10
11
00
11
10
01
11
00
10
00
10
10
00
00
10
10
01
11
11
10
00
10
10
00
11
00
01
10
01
01
11
00
11
00
00
00
10
10
00
00
11
01
11
11
00
00
11
10
11
10
00
01
01
01
00
11
10
01
11
10
00
00
10
10
00
11
00
10
10
00
10
01
11
00
11
10
11
10
00
00
11
10
00
10
10
00
10
01
00
10
11
10
10
01
00
10
11
00
01
00
11
01
00
00
00
00
10
11
10
00
01
00
01
00
01
11
10
10
10
11
00
10
01
10
10
00
10
00
00
11
01
00
00
01
11
11
10
11
11
10
10
10
11
00
00
11
00
01
00
01
11
00
00
00
00
10
01
01
10
01
10
10
11
00
10
10
01
01
00
00
10
10
10
00
01
10
10
00
11
01
00
11
01
10
10
10
00
11
10
01
00
00
00
00
10
10
11
10
10
00
00
10
00
11
11
00
00
00
10
00
10
10
01
10
10
11
00
00
11
10
11
11
10
01
01
00
00
00
00
10
11
11
10
00
00
10
10
11
00
00
11
10
10
00
00
00
00
00
10
10
00
11
11
00
10
10
01
00
10
10
00
01
10
01
10
11
10
11
11
01
01
10
01
00
00
10
01
00
11
10
01
10
10
11
01
00
10
10
01
00
00
11
11
00
11
00
01
10
00
00
00
00
10
11
00
10
00
10
01
00
01
00
11
11
10
10
11
10
01
10
10
01
00
00
10
00
00
10
11
11
00
00
01
10
10
00
00
00
10
11
10
10
11
00
10
10
00
10
00
00
00
10
00
00
01
11
00
10
11
00
11
10
11
00
00
01
10
10
00
01
10
00
10
10
00
10
11
10
00
00
00
00
01
11
10
00
10
01
00
11
01
01
10
00
10
10
10
00
11
11
00
00
10
10
10
10
01
00
10
11
11
10
11
10
11
01
11
00
01
10
10
10
00
10
11
00
00
00
11
10
11
00
00
10
00
10
10
10
00
11
00
11
10
00
00
10
00
10
00
11
10
10
01
10
01
00
00
11
10
01
00
11
01
00
11
00
00
01
00
10
01
10
10
10
10
00
10
00
11
01
00
01
00
01
01
11
11
00
11
11
00
01
10
00
00
00
11
00
11
11
01
11
11
10
10
00
00
11
10
00
00
00
01
00
10
10
00
00
00
01
00
01
11
01
11
00
01
11
00
10
00
00
11
00
01
10
01
10
10
10
11
10
01
00
11
01
11
10
11
10
00
10
10
10
00
10
10
00
10
01
00
00
10
00
10
10
10
01
00
10
10
00
00
10
00
11
00
10
10
01
00
01
10
00
10
10
10
00
00
11
01
11
01
00
10
10
01
11
10
01
01
10
11
10
01
11
10
10
00
00
10
01
00
11
11
10
10
00
10
00
10
10
10
00
00
11
11
00
00
11
11
01
01
10
01
11
11
00
10
11
11
10
00
00
10
00
10
11
10
01
00
11
01
01
00
10
11
00
00
10
01
00
00
11
11
10
00
01
00
10
10
01
10
10
10
10
10
11
11
00
00
10
10
00
10
10
10
00
00
10
00
00
00
10
10
00
01
01
11
11
01
11
11
01
00
10
10
00
01
11
10
00
10
10
00
00
10
11
11
00
10
00
00
10
00
00
10
01
10
00
10
10
00
00
10
10
10
10
11
10
11
10
01
00
00
01
10
10
10
10
01
10
11
00
01
11
10
01
10
00
10
01
01
10
10
01
10
00
00
01
00
10
01
01
01
01
10
10
10
10
01
10
10
00
11
01
10
10
01
11
00
00
01
11
00
00
10
11
10
01
11
01
10
11
00
00
10
11
00
01
00
10
10
11
00
01
00
10
10
00
00
10
01
01
01
10
00
10
00
00
10
11
10
11
10
00
00
10
00
00
01
11
10
00
10
10
00
10
00
00
10
10
10
11
01
00
10
10
11
10
11
10
00
10
11
00
10
00
00
00
10
00
00
10
10
11
00
10
01
11
10
01
11
01
00
10
01
11
10
00
00
10
10
00
01
11
10
00
00
00
00
10
11
10
10
00
10
00
01
01
11
10
00
11
01
11
01
10
10
01
10
11
01
01
10
00
00
11
01
00
00
00
10
00
10
11
01
00
00
10
10
01
00
01
00
00
10
10
01
00
10
10
00
00
00
00
00
10
01
10
00
01
11
11
11
01
01
01
00
10
10
00
00
10
11
01
10
11
10
10
10
00
01
10
00
00
11
10
11
10
01
01
00
01
01
00
10
10
00
10
00
00
10
10
00
11
11
10
01
00
00
00
11
00
11
00
00
10
00
00
01
00
11
10
10
00
10
00
10
11
00
00
00
00
10
00
10
00
10
00
10
00
00
11
10
11
11
00
01
01
00
10
01
00
01
00
10
10
01
00
01
10
10
01
10
10
00
10
10
10
01
00
01
10
10
00
10
01
10
00
10
00
00
10
00
00
00
10
01
10
01
00
00
00
10
01
00
10
11
10
00
10
10
10
11
01
00
10
00
00
00
00
01
10
11
10
10
10
00
10
10
10
01
00
10
01
01
00
00
01
00
11
00
11
10
11
11
01
11
00
10
10
00
10
10
01
01
10
10
00
10
10
00
10
11
11
01
10
11
00
00
00
10
10
00
10
00
10
01
00
00
00
10
10
00
01
11
10
10
00
00
10
01
10
01
01
10
11
00
00
10
00
00
11
01
00
00
11
11
10
00
10
00
00
01
11
10
01
00
10
10
11
01
11
01
11
00
01
00
00
11
00
00
11
10
10
01
10
11
00
00
01
00
10
10
01
00
10
00
01
01
11
11
10
00
00
10
00
11
11
01
01
00
00
00
00
11
10
01
01
11
11
10
00
10
10
00
01
10
11
00
10
10
11
00
00
10
00
00
10
00
01
10
10
01
00
10
01
00
11
10
00
00
01
01
11
10
10
00
01
11
10
00
00
00
01
10
11
00
11
11
10
11
10
10
01
10
00
00
11
10
11
10
00
11
11
11
10
11
01
00
00
10
01
00
00
00
00
01
11
10
11
10
00
00
11
01
11
00
00
00
01
01
11
10
00
01
00
10
11
01
10
11
00
00
11
10
10
11
11
11
11
00
00
10
00
00
00
10
00
00
00
00
00
10
10
10
00
10
00
10
11
00
10
00
11
10
01
00
10
01
10
10
00
00
01
10
01
11
10
11
10
00
00
10
10
00
01
10
10
10
00
11
00
11
10
00
01
11
00
01
10
11
10
10
00
10
10
00
01
11
11
01
00
00
01
10
11
00
10
01
10
00
00
10
10
01
10
10
11
11
00
10
10
00
10
00
00
10
01
10
01
01
11
00
10
10
10
11
01
00
10
00
00
10
10
00
11
11
10
01
00
10
00
11
01
10
01
01
10
00
10
11
10
01
01
11
00
11
10
00
00
10
00
10
10
00
10
00
11
10
10
00
10
00
11
00
01
11
10
00
00
10
10
10
01
11
10
00
01
10
00
01
10
10
11
00
01
01
00
00
10
11
11
00
00
11
00
11
11
11
01
10
10
00
00
10
01
10
10
00
11
10
00
10
10
00
10
10
00
01
10
11
11
10
01
00
10
10
10
00
10
00
00
10
11
10
00
01
11
11
10
01
10
11
00
11
00
01
10
10
00
10
10
00
10
10
10
00
01
00
01
00
10
10
00
00
10
11
00
00
00
10
00
00
10
10
00
01
10
00
01
10
00
01
01
10
00
11
00
10
11
10
01
00
01
01
01
01
00
10
10
00
00
01
11
10
00
10
11
00
10
01
11
00
01
00
00
10
10
01
11
11
00
11
00
01
00
00
10
00
11
10
10
00
10
11
10
10
10
10
10
11
00
00
00
00
00
00
01
01
01
11
10
00
10
00
10
10
00
01
10
00
00
10
11
00
10
11
00
00
00
01
00
10
00
10
00
00
11
00
01
11
00
01
01
10
10
00
00
00
11
10
10
00
10
10
10
10
01
01
00
11
10
10
00
10
10
01
10
10
00
10
10
10
00
01
10
01
11
01
01
00
01
11
00
00
10
11
01
00
10
10
00
10
11
00
10
11
11
01
10
10
01
01
10
10
10
00
00
10
01
10
10
01
00
10
01
00
10
00
00
00
11
11
11
10
11
10
00
00
10
00
00
10
01
11
10
11
00
00
00
10
00
00
11
11
01
00
00
00
11
10
11
00
00
00
11
10
01
10
10
11
00
00
10
10
00
00
00
00
00
01
10
10
01
10
00
10
01
00
10
10
00
00
10
11
10
10
01
00
00
10
10
10
01
00
10
01
11
00
00
00
00
11
00
00
10
11
00
00
00
10
10
00
11
10
00
00
00
10
00
10
10
10
11
11
10
10
10
00
10
10
01
10
10
01
00
01
00
00
11
10
01
11
01
00
00
10
01
10
10
00
01
11
11
00
11
10
10
11
00
00
10
10
01
11
10
11
01
00
10
10
00
00
11
10
01
01
11
10
11
00
01
00
00
11
11
00
00
11
11
10
01
10
00
00
00
10
00
00
10
00
00
00
10
01
10
00
10
01
01
00
10
10
10
01
01
11
10
10
10
10
10
10
01
00
11
10
10
10
11
11
01
01
10
00
01
10
10
01
00
10
01
01
01
11
10
11
10
01
00
10
11
11
11
00
10
01
00
10
00
01
10
10
10
00
00
10
11
01
01
10
01
00
00
11
10
00
01
00
10
10
10
00
10
11
11
01
10
10
01
00
00
00
10
01
00
00
10
11
10
01
00
11
00
00
00
10
11
01
10
10
11
10
00
10
00
00
00
00
10
10
00
00
11
11
00
00
10
10
00
01
10
00
01
01
11
10
11
00
11
00
01
01
10
11
01
10
11
00
00
00
00
10
10
00
01
11
10
00
10
11
00
11
11
01
10
10
11
10
11
10
10
00
00
10
01
00
10
11
10
11
00
10
00
10
01
00
11
10
00
11
01
01
00
11
10
10
01
10
00
00
01
00
01
11
10
10
00
10
10
10
01
10
11
00
00
10
00
00
10
10
00
01
01
11
01
00
11
01
10
01
10
10
01
00
10
10
01
00
00
11
11
01
11
00
01
01
00
11
10
11
00
01
10
00
10
00
00
10
00
01
11
01
11
11
01
10
10
10
00
01
10
10
10
00
01
10
10
00
11
10
10
11
01
11
00
10
00
11
10
01
11
01
00
01
00
00
11
10
10
00
01
11
10
01
01
01
11
00
00
10
00
00
00
10
10
01
00
11
00
00
00
10
11
11
10
00
00
10
10
00
11
00
00
01
11
10
01
10
01
10
01
10
10
10
01
00
10
10
00
10
00
10
10
10
01
01
00
01
01
00
01
01
10
10
01
10
10
10
01
00
01
00
10
01
10
00
00
11
11
01
10
10
01
00
11
10
10
01
10
10
11
10
00
01
10
10
00
01
00
11
00
11
01
01
10
10
00
00
00
00
00
10
00
00
00
00
10
10
10
10
11
00
01
11
00
11
00
10
10
00
10
00
11
10
00
10
10
11
10
11
00
10
10
10
00
10
11
00
01
11
00
00
10
10
10
10
01
00
10
01
00
01
10
11
01
10
11
00
00
11
00
01
11
00
01
10
11
10
00
10
11
10
00
01
10
11
00
11
01
01
11
11
10
01
00
11
00
00
10
10
11
00
10
11
01
00
00
01
10
11
10
00
10
11
01
00
11
00
01
10
01
11
10
01
00
01
10
00
11
11
11
10
10
00
00
11
00
10
10
11
10
10
00
01
00
10
00
10
10
00
00
10
00
10
00
01
11
11
10
00
10
11
10
10
01
00
11
10
00
10
10
10
00
01
11
11
01
01
01
01
10
00
10
10
01
01
01
00
01
10
00
10
10
01
01
10
10
11
10
00
10
11
10
00
00
01
11
10
00
00
00
10
10
11
00
10
00
00
10
10
00
00
11
10
00
00
00
01
01
11
00
10
10
00
10
11
10
01
01
11
00
00
00
00
10
00
00
10
11
01
00
10
01
00
11
11
00
00
11
11
10
01
01
01
10
00
10
11
00
00
01
10
11
10
01
01
00
10
10
10
11
00
00
11
00
00
10
00
10
11
00
11
00
01
01
00
10
00
00
11
00
10
10
10
00
00
00
10
10
10
10
11
00
01
11
00
00
01
01
11
10
10
00
00
00
00
10
10
01
00
11
11
10
10
00
00
10
01
00
00
10
11
10
11
00
00
00
11
10
00
00
10
00
10
10
10
00
00
11
10
01
00
10
10
10
11
00
10
11
11
10
01
11
11
11
01
01
10
10
10
01
01
11
10
00
10
10
00
01
00
11
01
10
11
10
00
10
01
00
10
10
00
10
01
00
10
00
00
10
11
11
10
10
11
00
00
10
01
00
10
00
11
10
10
01
00
00
10
00
00
00
00
11
00
11
11
00
01
01
00
10
10
11
10
00
00
10
00
00
00
00
00
01
00
10
01
11
00
00
10
10
10
01
01
10
01
01
10
00
01
00
00
11
11
00
00
10
01
10
10
11
10
11
00
00
00
00
00
10
11
01
00
00
10
01
11
10
11
11
00
00
11
10
00
10
10
01
00
10
10
00
00
10
11
10
10
00
00
00
11
11
10
10
00
00
10
01
01
10
00
10
10
10
10
00
00
10
10
00
11
10
00
00
10
00
00
00
00
01
10
10
00
01
00
10
00
10
10
10
00
00
01
11
10
10
10
11
10
10
00
11
00
11
11
00
00
11
01
00
10
10
00
01
11
00
01
10
10
00
00
10
10
01
10
01
00
10
00
10
00
10
11
01
10
10
00
10
01
10
01
00
10
01
10
00
00
11
00
10
00
00
11
11
11
00
00
10
10
11
00
01
00
11
00
01
11
10
00
00
10
11
10
00
11
10
10
01
11
10
01
00
01
10
10
00
11
11
00
01
11
10
00
10
10
01
00
10
00
00
11
10
10
10
01
10
10
00
00
10
00
10
00
01
11
10
11
11
10
11
00
01
10
11
00
01
11
10
10
00
00
10
10
00
00
10
00
10
01
10
00
01
00
10
11
10
10
10
00
00
00
11
10
11
11
00
00
10
10
00
10
10
11
00
10
00
11
11
11
11
10
00
00
10
00
10
00
00
00
00
00
00
00
00
10
10
00
01
10
10
00
00
10
11
10
10
00
00
00
00
00
01
11
10
10
01
00
00
00
11
11
01
01
00
01
10
10
00
11
11
00
11
11
01
00
01
10
10
10
01
10
01
10
11
10
00
01
00
10
00
00
10
00
10
01
01
10
11
11
10
10
01
00
00
00
11
10
01
10
01
10
11
10
01
00
10
10
01
00
10
00
11
11
11
10
00
10
01
10
00
00
10
10
01
00
00
11
00
10
00
11
11
10
10
00
00
10
00
00
10
01
11
11
00
10
10
01
10
10
00
11
10
01
00
10
10
01
10
00
10
00
01
11
11
00
00
11
10
01
10
00
00
10
00
01
10
10
00
10
10
00
11
11
00
00
00
00
11
00
10
10
00
00
00
00
01
01
10
10
00
10
11
00
00
10
11
01
10
10
00
01
10
00
00
00
10
11
11
10
00
11
10
11
10
10
10
11
00
00
10
11
00
10
00
10
10
10
00
10
01
00
00
00
10
00
10
10
00
01
11
01
10
00
00
00
11
11
10
00
00
10
00
11
00
01
10
11
11
00
10
01
10
11
00
11
00
10
11
01
11
10
11
00
00
00
00
10
10
10
01
01
00
00
10
10
11
01
10
01
01
01
11
11
11
11
01
01
00
11
10
11
00
00
11
10
00
01
00
10
11
01
00
11
10
11
00
01
10
11
01
10
01
00
11
01
00
01
10
11
00
00
11
11
10
01
00
00
11
10
01
01
10
01
00
00
11
10
10
11
00
11
10
10
01
10
10
10
10
11
11
01
00
00
00
00
10
01
00
10
10
10
01
10
11
00
11
10
10
01
10
00
11
00
00
00
01
10
00
10
01
10
00
11
11
11
00
11
10
01
11
10
01
11
11
00
00
10
10
00
00
10
10
01
00
00
11
00
10
00
10
11
11
10
00
11
10
11
10
10
00
10
11
00
10
10
11
00
00
11
11
10
01
00
00
10
10
01
11
00
10
10
00
01
00
10
00
10
10
00
10
00
01
10
10
00
00
00
01
00
10
10
00
10
01
10
01
11
01
01
10
10
00
10
10
10
01
10
10
00
01
00
00
01
11
00
01
01
00
10
00
00
00
10
11
00
01
10
00
01
10
00
10
00
00
10
00
11
00
10
00
10
00
11
00
00
00
10
01
01
00
10
11
11
00
00
00
10
00
00
00
11
00
01
01
11
01
10
00
01
11
10
00
00
11
00
10
10
00
00
00
10
10
10
00
00
00
00
10
00
11
11
01
10
00
00
00
11
11
00
01
01
01
10
00
00
00
11
11
10
00
00
01
10
10
01
00
00
10
10
11
00
00
10
10
11
01
11
10
11
00
10
10
00
00
11
11
00
10
01
01
00
00
10
10
01
10
10
01
01
11
00
10
00
10
00
00
00
10
11
10
00
00
10
01
00
01
00
01
11
00
01
01
00
01
01
11
00
10
10
01
01
10
10
00
00
10
11
00
00
10
10
10
01
10
11
00
11
10
11
00
01
11
01
10
10
00
00
10
01
10
00
00
10
00
10
11
00
10
00
10
10
10
00
00
01
10
00
01
00
10
00
10
11
10
00
10
01
01
01
11
10
01
10
00
10
10
00
00
11
10
01
11
10
11
10
11
00
01
00
00
10
11
00
00
10
10
00
00
00
00
01
10
11
10
10
00
00
00
10
00
00
10
00
11
10
01
10
00
00
00
00
00
00
10
11
00
01
01
11
10
00
00
11
10
11
00
00
10
00
10
10
00
00
11
10
10
00
00
11
11
11
00
00
11
10
11
10
00
00
01
10
00
00
10
00
10
01
01
00
01
10
11
00
00
10
11
10
01
00
11
00
10
01
00
10
10
10
00
11
10
00
10
10
11
11
10
00
11
00
11
10
10
10
01
00
11
10
00
00
11
11
01
00
10
11
10
00
00
10
10
00
00
10
00
00
00
00
10
00
00
11
10
11
10
01
00
00
10
01
10
10
01
01
00
10
10
10
10
11
01
00
00
00
01
01
11
00
10
00
00
10
10
11
00
10
11
00
11
10
11
01
11
11
00
01
00
10
10
10
00
00
00
10
10
01
00
00
11
10
00
10
01
10
10
10
00
10
10
01
01
10
10
01
10
00
00
10
00
10
10
01
00
00
10
00
00
00
01
10
10
00
00
00
11
10
00
10
11
00
10
10
01
11
11
01
10
00
00
10
11
10
01
01
00
10
10
10
00
11
10
11
00
10
10
00
11
10
00
01
10
10
01
00
10
00
10
01
10
11
00
10
00
00
00
11
01
00
01
00
10
10
10
01
00
00
10
10
10
10
00
01
01
01
00
01
10
01
01
00
10
10
01
00
00
10
10
00
00
10
00
00
10
10
00
11
10
01
10
01
00
00
00
00
01
11
10
01
10
11
00
10
11
00
10
11
01
01
00
00
01
11
01
11
10
00
01
00
00
10
11
01
01
01
10
00
01
11
11
10
00
00
10
10
01
00
11
11
00
10
01
11
11
10
01
01
11
00
00
10
11
10
00
01
11
11
10
00
10
00
00
00
10
10
11
11
11
00
00
11
10
10
11
00
01
10
10
00
10
11
11
01
01
11
10
11
00
11
11
10
00
00
01
10
11
01
10
10
10
00
00
11
10
10
00
00
01
00
10
10
00
10
10
10
10
01
01
00
10
10
10
00
00
00
10
11
11
10
00
00
10
00
10
00
10
00
00
10
00
00
00
10
00
11
01
01
00
00
01
00
00
01
11
11
00
10
00
10
10
00
10
11
10
00
01
00
11
00
10
00
00
10
00
01
10
10
11
00
01
00
10
10
00
10
10
10
01
10
00
01
00
01
01
01
11
01
10
01
00
11
00
01
01
01
11
01
00
11
10
01
00
10
10
11
10
00
00
10
10
10
01
10
10
00
00
10
00
01
00
00
11
10
01
10
01
00
00
10
00
01
10
11
00
00
11
10
01
00
11
10
00
01
10
01
00
01
11
11
11
00
11
00
00
11
10
00
01
11
01
01
01
10
11
10
10
10
00
01
10
00
00
11
10
01
10
10
00
00
10
10
00
01
00
00
01
01
00
00
10
10
10
00
01
01
11
10
10
11
00
10
11
10
11
10
10
00
00
11
10
11
00
10
00
11
00
01
01
00
10
11
11
11
00
10
10
01
00
10
00
00
00
01
10
10
00
01
10
11
10
00
00
00
10
11
00
00
00
10
00
00
01
10
11
11
10
00
00
10
11
10
01
11
10
11
00
00
10
00
01
11
11
01
00
01
10
00
01
11
10
00
10
00
00
01
00
10
10
01
10
01
00
10
00
00
01
11
01
10
10
10
00
10
00
00
10
10
10
10
10
11
01
00
10
10
10
10
00
11
10
00
01
11
00
01
10
01
10
00
01
10
10
10
00
00
10
00
11
00
10
10
11
11
01
11
00
00
10
00
00
11
10
00
10
01
01
00
10
00
11
11
00
11
11
01
00
11
11
01
01
11
11
01
01
11
00
11
01
01
01
11
00
00
00
10
11
00
01
11
11
01
01
00
01
00
10
00
10
01
10
11
00
01
10
10
10
11
10
10
00
00
01
00
10
01
10
10
01
11
00
10
11
00
01
11
11
10
10
00
10
00
01
00
10
11
10
11
00
10
10
10
00
01
11
11
00
00
01
00
11
10
01
00
01
10
11
10
01
11
11
00
01
10
10
11
01
00
11
10
00
00
10
00
01
01
00
00
00
00
10
11
01
11
10
10
10
00
10
00
11
10
10
00
10
01
01
10
10
11
01
10
00
00
10
11
00
01
00
10
01
10
00
00
11
10
01
00
01
01
11
10
00
11
11
10
00
00
10
00
00
10
11
00
01
11
00
00
01
10
11
11
10
11
11
00
01
00
11
01
01
00
10
10
01
10
11
10
00
10
10
00
00
10
10
00
00
01
01
00
11
01
11
01
00
10
11
00
00
00
11
11
01
00
10
00
00
01
10
10
00
00
11
10
01
00
00
11
10
00
10
10
01
00
01
11
00
10
10
00
00
10
11
00
00
10
00
11
10
01
00
00
10
01
10
11
00
11
00
00
00
11
01
00
10
10
10
10
10
00
11
00
00
11
10
01
00
00
00
00
00
00
00
11
11
00
00
00
10
11
00
11
10
00
10
01
10
00
11
10
01
10
11
01
01
10
01
10
00
10
00
10
10
00
00
10
00
00
00
10
10
00
01
11
01
11
10
11
00
10
10
01
11
10
01
00
00
01
00
10
00
11
10
10
00
00
00
10
10
11
11
00
10
01
11
01
10
00
10
00
01
11
00
00
11
01
11
10
00
01
10
00
01
00
10
10
00
11
00
00
10
00
00
00
00
10
00
11
11
00
10
00
00
00
01
11
10
00
10
10
00
01
10
01
00
00
00
10
00
10
10
11
01
10
10
00
00
01
10
10
01
10
11
10
00
10
01
01
01
00
01
10
10
10
10
00
00
00
00
10
10
00
10
11
00
01
10
00
10
10
01
00
01
10
10
01
10
10
00
01
10
01
00
01
11
00
10
01
00
01
10
10
00
00
11
10
11
01
10
10
10
10
01
10
10
10
00
10
00
00
10
10
11
01
11
01
00
00
00
10
10
00
00
11
10
10
00
10
10
10
00
10
10
00
11
00
01
11
10
11
00
01
01
00
10
11
01
00
10
11
10
11
11
00
00
10
01
01
10
10
10
00
01
00
11
10
10
00
10
10
00
01
11
10
11
00
00
00
01
11
10
10
00
00
00
00
10
10
10
10
00
01
01
10
10
00
00
10
00
00
11
10
11
00
01
11
00
01
10
00
01
01
11
01
11
10
00
01
00
10
00
10
11
00
01
01
11
11
11
00
00
11
01
01
11
10
00
00
01
00
10
11
00
00
00
00
10
00
00
11
10
01
10
11
01
00
00
11
01
00
10
10
11
10
11
00
00
00
10
10
10
10
01
10
00
10
10
10
10
01
00
00
10
00
10
10
01
00
10
00
00
01
10
01
01
00
01
00
11
11
10
11
11
11
00
10
00
01
10
00
10
10
10
10
01
00
10
00
00
00
10
00
01
00
00
10
00
10
01
00
11
11
00
10
01
01
10
11
01
10
00
11
01
00
10
10
00
00
00
00
00
11
10
10
11
00
00
00
01
11
01
11
00
10
11
01
01
01
11
10
01
10
10
00
01
10
10
01
10
11
11
01
00
10
11
00
00
01
00
11
00
00
10
01
00
10
10
01
00
10
10
00
00
00
01
11
10
00
10
10
00
00
11
00
00
10
10
10
00
00
10
10
10
10
10
00
11
10
10
10
00
00
00
10
00
01
00
01
11
11
10
11
10
01
00
00
11
10
00
10
00
01
10
10
10
00
10
10
10
00
11
10
11
00
10
10
01
11
01
11
10
11
10
00
00
11
10
00
10
10
00
00
00
01
10
11
10
10
10
11
10
00
00
00
10
11
00
10
00
10
10
10
10
01
10
10
00
01
11
01
10
10
11
10
11
10
00
00
01
11
10
10
01
11
10
01
00
10
01
00
00
11
10
00
00
10
10
00
10
11
00
00
10
00
10
00
10
11
11
10
00
00
11
00
01
00
11
10
00
11
10
10
10
01
01
11
01
00
11
10
11
00
01
10
10
00
00
10
00
10
00
00
10
00
11
00
00
10
10
11
00
01
00
01
01
10
01
11
01
01
00
10
10
00
00
01
10
10
11
01
00
00
10
00
10
11
00
11
00
00
10
10
10
01
10
10
00
10
11
10
01
00
10
11
10
01
00
10
10
11
00
10
01
01
00
10
01
10
00
00
11
10
10
01
00
10
11
00
00
10
01
10
01
00
11
00
00
10
00
00
10
00
00
10
10
00
10
11
01
10
01
00
10
00
01
10
11
10
01
01
10
10
00
00
11
01
10
10
00
00
00
10
01
10
10
11
10
00
10
00
11
00
01
11
11
00
11
10
11
00
00
01
11
10
00
00
10
01
10
10
00
10
10
10
00
01
10
01
10
10
00
00
00
10
00
10
10
00
01
10
10
00
00
10
11
00
00
00
10
10
00
01
10
00
00
00
10
10
10
00
01
01
10
11
01
10
01
10
00
10
00
01
10
10
11
11
11
01
00
01
10
11
10
11
01
11
01
00
11
11
10
01
10
11
01
00
11
00
00
10
01
11
00
00
11
10
10
00
00
00
00
01
10
00
11
10
01
10
01
00
10
00
10
11
11
10
01
10
00
00
11
01
10
10
00
00
11
11
11
00
11
01
00
00
10
00
00
11
10
00
00
10
00
01
11
00
00
10
01
01
00
11
10
10
10
10
01
00
10
10
10
10
01
00
00
11
11
10
01
01
10
01
00
10
01
10
01
11
10
00
00
00
10
10
00
00
10
00
01
10
10
10
00
00
00
00
11
10
01
10
10
01
10
10
01
00
11
00
10
10
00
10
10
01
01
10
00
00
11
11
10
01
10
00
10
11
00
10
10
00
10
10
10
11
00
10
10
10
10
10
00
01
11
01
10
00
10
00
10
10
00
01
10
10
01
01
10
00
10
10
00
00
11
00
00
00
11
01
10
10
10
10
00
00
11
01
10
10
10
01
10
01
00
00
10
10
00
00
10
11
10
00
00
11
01
11
10
01
00
01
00
11
00
00
00
10
01
00
10
11
00
10
00
01
00
00
11
00
00
11
10
10
00
01
00
10
10
10
10
10
10
01
11
11
00
10
11
11
10
01
01
10
10
00
00
10
01
00
11
10
11
00
00
00
01
11
10
11
00
10
11
10
00
10
11
10
10
00
00
10
11
10
00
10
10
11
00
11
11
10
00
10
01
10
01
00
10
10
00
01
10
10
01
10
00
00
01
10
00
10
01
00
11
01
10
10
00
00
10
10
00
00
10
01
00
11
00
00
00
10
11
10
01
00
00
01
01
00
01
00
01
10
10
11
00
00
01
00
11
11
11
00
00
00
01
01
10
10
01
00
01
00
10
01
00
11
01
01
11
01
00
10
10
10
00
11
10
00
00
00
10
00
00
01
00
01
01
01
11
00
00
10
11
01
10
01
00
01
00
00
11
11
00
00
00
10
01
01
10
00
00
10
10
01
10
01
10
10
00
11
11
10
10
00
00
00
00
01
10
10
00
10
00
01
10
11
11
10
11
00
00
01
11
00
00
11
10
01
11
11
00
00
10
10
11
00
00
10
00
11
00
01
10
01
01
11
10
01
10
10
00
11
11
01
01
01
10
01
00
00
00
11
11
10
11
11
10
00
11
00
01
11
10
10
10
01
10
01
00
10
10
10
01
00
00
00
00
10
10
10
10
10
00
11
00
00
00
10
01
00
11
11
01
01
00
10
00
00
10
00
10
10
10
10
11
00
10
00
10
11
01
10
00
01
00
11
01
00
10
10
10
10
10
01
00
10
01
01
10
10
10
01
00
01
11
00
00
11
10
10
10
00
10
00
10
10
10
00
00
10
00
00
11
00
11
01
01
11
00
11
00
00
10
00
00
10
00
10
00
00
11
00
11
00
11
10
00
11
10
10
00
10
01
11
11
10
11
10
10
01
10
00
00
00
11
10
11
11
01
11
10
10
01
00
10
00
00
10
10
10
00
01
00
00
01
10
10
10
01
10
10
00
00
00
00
01
01
11
00
00
00
11
11
01
11
11
00
00
11
10
00
10
10
01
00
00
01
00
00
00
00
11
01
11
00
10
01
00
00
00
10
11
10
01
01
00
00
11
01
01
00
10
00
10
00
01
10
11
00
01
10
00
10
01
00
11
00
00
11
10
10
00
01
10
10
01
10
00
00
11
00
00
00
10
00
00
01
10
11
00
01
10
10
10
10
10
00
10
10
00
00
00
10
00
01
10
00
11
10
11
00
01
00
01
10
00
01
10
10
00
10
10
01
11
11
00
11
01
01
00
11
11
00
11
01
00
10
11
01
10
00
11
00
10
10
01
10
10
11
01
00
10
00
00
01
10
10
10
10
11
10
00
00
10
01
10
11
01
00
11
11
11
10
10
11
00
00
11
00
10
10
10
11
10
10
00
00
10
10
00
10
10
00
11
10
11
00
00
00
00
11
10
00
00
01
10
10
11
00
11
10
10
10
01
01
10
00
01
00
00
00
10
10
00
00
10
00
11
10
00
01
10
11
11
00
00
01
11
10
10
00
10
00
00
10
00
11
11
11
01
00
10
00
00
00
10
11
00
10
00
10
00
11
01
01
10
10
00
00
10
10
10
00
00
10
10
10
10
10
00
10
00
10
00
10
10
00
00
00
00
00
10
10
10
00
00
00
01
11
10
10
00
10
00
00
10
00
10
11
10
11
00
00
00
00
00
10
10
00
01
00
11
10
11
00
10
00
00
00
11
01
00
00
10
00
10
10
01
01
00
00
10
00
00
10
11
11
01
00
10
10
00
11
01
00
10
01
10
11
00
01
10
10
10
10
11
00
11
00
11
00
10
00
01
11
10
00
10
10
10
11
00
10
11
01
10
00
00
10
11
00
10
00
00
11
11
00
10
10
00
00
11
10
00
01
10
01
01
10
01
01
00
11
00
00
11
11
01
00
10
10
10
10
01
00
10
11
00
10
10
01
00
00
10
11
01
10
00
10
01
10
11
01
00
00
01
00
11
10
01
00
00
00
10
10
00
10
10
01
10
00
01
11
00
01
10
11
10
00
10
00
00
10
10
01
10
10
10
00
10
11
10
00
00
00
00
01
10
10
10
00
11
00
01
01
01
11
01
10
00
01
10
00
00
00
10
00
00
01
00
00
00
11
00
10
00
11
00
10
00
01
01
11
10
01
10
01
10
11
01
00
10
11
10
01
00
10
10
00
00
10
00
01
11
10
10
11
00
11
00
00
00
10
01
00
11
00
01
10
10
11
00
10
11
10
10
01
00
01
11
10
00
00
00
10
01
00
11
00
00
00
11
10
10
10
01
00
10
00
11
10
00
00
10
00
10
01
01
11
00
11
11
00
01
10
00
10
00
01
10
10
10
11
10
11
10
00
01
01
10
10
01
00
00
11
11
11
10
00
10
10
00
10
00
00
10
00
00
10
10
00
11
10
10
00
00
10
10
01
00
00
00
00
10
10
10
11
10
01
11
10
00
10
00
01
11
11
10
10
01
11
00
10
10
01
10
11
00
00
00
11
11
00
00
00
11
10
11
10
00
10
11
10
00
00
10
01
01
10
11
01
00
10
10
11
11
11
00
10
11
00
00
00
11
10
00
00
00
00
01
01
10
00
01
00
10
01
00
01
10
10
00
00
10
11
10
00
00
00
00
00
00
10
10
01
11
11
00
10
11
00
00
11
10
10
10
01
00
10
11
00
01
00
00
10
00
01
01
00
11
01
10
00
10
10
11
00
00
00
10
10
00
10
01
00
10
00
00
10
01
10
01
01
11
10
00
11
10
10
01
10
01
00
10
10
00
00
00
00
10
10
00
00
11
10
00
10
10
00
01
11
11
01
10
11
00
00
00
10
10
10
00
00
01
10
10
00
10
00
10
10
00
11
00
01
11
01
10
10
00
01
00
11
10
11
01
00
00
00
10
00
00
10
00
00
11
01
00
10
11
10
10
11
01
00
01
00
00
10
10
11
11
10
11
11
11
01
10
01
00
10
00
00
10
10
10
00
10
10
00
01
10
10
00
01
00
00
01
11
00
00
10
00
01
01
11
10
10
01
10
10
10
01
00
10
10
01
10
10
11
11
10
01
00
10
10
00
01
11
10
00
00
01
11
10
01
11
10
10
00
11
11
00
00
00
00
10
10
00
11
00
11
10
01
11
00
01
00
10
00
01
00
01
00
11
10
00
11
10
10
00
11
11
01
00
10
11
00
00
10
00
00
00
10
11
10
10
11
00
01
10
10
11
00
00
10
10
01
10
00
01
10
10
00
11
00
01
11
10
00
11
00
00
11
10
10
00
01
00
00
10
00
11
11
01
01
10
11
10
10
00
00
10
11
00
01
10
11
00
10
10
10
10
00
00
10
00
00
00
11
01
10
11
11
10
01
00
10
10
00
00
11
10
00
10
00
10
00
00
11
00
00
11
10
11
01
01
10
10
10
10
10
01
00
10
11
00
10
00
01
11
11
11
10
10
01
11
10
00
00
10
10
01
11
10
01
00
10
10
01
00
01
00
10
01
11
00
00
11
10
00
11
00
10
01
11
10
01
11
01
00
10
10
01
11
00
10
10
10
00
00
01
11
11
10
00
00
01
01
10
11
00
00
11
00
00
00
00
10
10
10
01
10
11
10
00
11
01
00
01
10
11
10
00
01
00
00
10
00
00
00
00
10
11
00
01
10
00
00
01
10
10
10
00
00
10
00
11
10
10
01
10
11
10
01
01
10
10
00
00
11
00
01
00
10
10
10
11
10
01
01
01
10
00
10
10
10
10
01
10
10
11
11
01
11
01
11
00
01
01
10
01
00
10
11
01
01
00
11
11
01
00
00
10
10
00
01
11
11
00
00
11
10
10
01
01
10
10
00
00
10
10
00
10
00
11
11
10
10
10
01
00
00
11
10
10
00
11
10
01
11
00
00
10
00
00
00
10
00
00
00
10
11
00
10
10
10
01
10
10
00
00
00
11
01
00
01
11
10
00
01
10
10
10
00
00
11
00
11
01
00
10
11
11
00
01
00
10
10
00
10
10
10
00
00
10
00
00
10
00
01
11
00
00
00
11
00
10
01
00
10
11
01
00
10
10
00
00
00
11
10
10
01
11
11
00
10
00
00
00
00
10
11
10
10
01
00
01
01
10
10
01
00
10
00
00
10
10
00
00
00
10
00
11
10
01
10
10
11
01
11
11
11
01
00
11
10
00
10
10
01
00
00
10
00
00
11
01
01
10
10
10
00
10
11
01
01
10
00
00
10
11
00
00
10
10
00
00
10
00
10
11
11
10
01
00
01
11
00
11
11
11
10
10
00
01
00
10
10
00
00
10
01
10
01
01
10
00
00
00
11
10
01
10
11
00
01
11
00
10
10
00
00
10
10
10
00
01
11
10
01
11
10
01
00
00
00
10
10
10
00
00
00
10
00
11
10
11
10
00
10
00
01
00
00
00
01
10
00
00
10
10
00
00
11
00
00
10
10
00
10
00
00
10
10
00
01
10
00
10
10
11
11
10
10
10
10
00
10
10
01
00
10
10
01
00
01
00
10
11
11
10
00
01
00
00
00
00
11
10
01
00
10
01
11
10
00
10
01
10
00
00
11
11
00
00
00
11
01
11
10
00
00
10
10
10
01
00
11
00
01
11
00
00
01
10
01
00
10
01
00
01
01
00
10
00
00
11
00
11
01
10
11
00
00
10
10
00
11
00
00
10
10
10
10
00
11
10
00
01
00
11
01
01
00
00
10
10
11
00
00
10
00
10
00
11
00
00
10
10
01
01
11
10
01
00
00
00
10
10
10
11
00
10
01
00
01
00
10
10
00
01
10
11
00
01
10
11
01
11
10
00
01
10
11
00
01
10
01
10
11
10
10
00
00
10
10
00
10
00
00
11
00
10
01
00
00
00
00
10
00
00
11
00
01
01
11
11
01
00
00
10
11
10
10
00
00
10
10
00
00
00
11
00
11
10
01
00
11
11
00
00
10
00
01
10
01
01
10
01
00
10
01
10
10
00
10
00
01
00
10
01
00
10
10
10
00
00
10
11
10
00
00
10
01
00
00
11
10
01
00
00
10
10
01
11
00
00
00
10
00
01
10
10
01
01
10
00
11
00
01
11
11
00
10
11
00
11
11
01
00
10
00
10
10
00
00
10
10
00
10
10
01
10
01
10
10
11
10
11
11
01
01
00
01
01
11
10
00
00
01
11
01
11
11
11
10
00
10
10
00
00
10
10
10
00
10
01
11
01
10
01
01
00
00
10
10
00
01
01
00
01
00
10
01
01
00
00
01
00
11
11
00
00
10
10
10
10
10
11
01
11
01
10
00
00
00
00
10
10
00
00
00
11
10
00
11
01
00
01
00
10
00
01
00
11
10
01
01
00
10
10
01
01
10
11
00
10
00
11
10
00
00
11
00
00
10
10
00
11
00
00
11
10
00
00
10
01
01
11
11
10
10
01
00
10
11
01
01
10
10
00
01
00
00
11
10
00
00
00
00
10
11
00
10
00
10
00
00
01
10
10
10
10
10
10
10
01
10
10
10
00
10
00
11
10
01
01
00
10
10
11
11
10
00
00
01
00
01
00
11
10
00
10
10
11
00
00
11
11
01
00
10
10
11
00
01
01
10
10
10
10
00
00
10
10
00
10
10
10
10
00
01
10
11
01
10
01
01
11
11
10
01
10
00
11
10
00
00
11
10
10
10
00
00
00
00
00
10
00
00
11
01
00
11
00
00
01
11
11
00
00
00
01
10
10
01
00
10
10
10
10
00
11
00
11
10
10
10
00
00
00
01
11
00
00
11
01
11
11
01
00
01
10
10
01
00
11
10
00
00
10
11
00
00
10
00
01
00
10
10
00
10
10
10
11
00
10
00
00
10
01
10
10
10
01
10
10
11
00
11
11
01
10
00
00
11
00
11
00
00
10
10
00
11
10
00
10
00
11
00
11
11
10
10
00
00
01
10
10
10
10
00
00
00
10
01
00
10
00
00
00
10
00
10
10
11
10
00
10
11
10
00
01
00
10
10
10
11
11
10
10
00
11
01
10
10
01
00
00
00
11
10
11
00
10
10
00
10
00
10
00
01
00
11
10
11
00
00
10
00
10
11
01
00
00
11
10
01
10
10
10
00
01
00
11
10
00
01
10
10
11
01
00
00
11
10
00
00
00
00
01
00
10
00
10
10
00
11
00
11
10
10
11
00
01
00
10
11
00
11
01
10
10
00
10
10
00
01
00
11
00
10
00
11
00
11
11
01
01
11
01
00
10
11
00
00
10
11
00
01
00
10
00
00
01
10
00
00
00
00
10
00
00
11
01
00
00
01
00
10
10
01
10
00
11
10
00
01
00
10
00
00
10
01
00
00
11
01
11
11
00
01
00
00
00
10
01
00
10
10
11
01
01
10
00
00
10
00
00
10
10
00
11
10
10
00
00
00
10
00
00
01
10
00
01
10
11
01
00
10
11
01
11
10
01
11
11
10
00
10
11
00
01
01
10
00
00
11
10
11
00
00
00
00
11
11
10
01
10
11
01
10
00
10
10
00
00
11
00
00
10
10
00
00
10
00
00
01
10
01
00
00
00
10
00
00
00
11
10
10
00
00
11
00
10
10
11
10
01
00
10
11
10
11
00
01
10
00
01
10
00
00
11
10
00
00
10
01
10
01
10
11
01
11
00
00
00
10
11
00
11
11
01
00
10
11
00
10
11
11
01
00
01
10
10
10
00
01
10
00
10
10
10
00
01
00
10
00
00
01
10
11
00
00
10
11
11
10
10
00
10
11
00
10
01
00
11
00
00
01
10
10
10
01
01
11
00
00
11
10
10
00
11
00
01
11
11
10
01
00
10
10
00
00
00
10
10
10
10
11
11
00
00
10
11
00
01
00
10
00
00
00
01
00
10
10
11
00
11
00
00
11
10
10
00
10
10
00
00
10
00
10
00
00
01
00
10
11
10
00
00
10
10
01
01
00
00
10
10
00
10
10
10
01
10
00
01
00
10
00
10
00
00
01
00
11
00
11
01
11
10
00
01
11
10
00
10
11
01
11
10
11
00
00
10
10
01
00
00
11
11
00
10
00
10
00
01
10
00
10
10
11
00
10
11
10
00
00
01
00
11
10
00
01
10
11
11
00
10
10
10
10
10
11
01
01
11
00
00
10
10
00
11
00
01
00
11
00
10
10
01
10
10
10
00
10
10
01
10
10
00
11
11
00
00
10
10
01
10
00
11
00
10
11
01
01
00
11
01
00
00
11
10
01
00
00
00
00
10
00
10
10
10
01
00
00
00
00
10
00
11
10
11
01
10
10
01
00
01
00
10
10
10
00
01
00
00
10
10
00
00
10
11
10
01
10
11
01
11
10
00
11
11
10
00
10
00
10
00
10
11
11
10
10
01
00
11
10
00
10
00
10
00
01
11
10
10
00
10
10
00
10
01
00
00
00
00
00
00
11
00
01
11
10
00
10
00
10
00
00
10
00
01
11
11
01
00
00
11
00
10
10
00
00
10
01
11
00
00
00
10
10
01
00
01
10
01
10
01
10
10
00
01
00
10
11
00
00
00
11
00
11
10
11
11
11
10
10
10
00
10
00
00
11
11
11
11
11
00
00
10
00
01
01
10
11
00
10
10
10
00
01
10
01
10
10
00
01
01
00
01
10
10
00
00
01
00
01
11
10
11
00
11
00
01
00
00
11
00
11
10
00
11
00
11
11
00
00
11
10
00
01
11
01
10
00
01
10
10
11
00
00
10
10
10
11
00
00
10
11
01
10
01
10
00
00
00
10
10
01
10
00
00
10
01
01
11
01
01
10
10
11
00
10
00
01
11
11
01
01
10
10
00
10
10
00
10
10
11
00
00
00
10
11
10
10
11
10
00
10
00
00
00
10
00
00
10
10
00
10
10
10
00
10
01
10
11
01
11
10
01
00
01
00
11
00
00
00
11
00
00
10
11
00
01
00
10
10
01
00
00
00
10
00
11
10
10
01
10
10
10
10
00
10
10
00
01
00
10
10
01
00
00
01
01
11
11
10
10
10
01
00
10
10
00
00
10
11
10
10
10
11
10
11
00
11
00
11
00
10
10
01
00
10
11
10
00
00
10
10
00
00
11
00
01
10
11
11
01
01
00
00
11
10
01
00
00
00
01
10
11
01
01
10
01
10
10
10
00
00
10
10
01
00
11
10
10
00
00
10
11
10
01
10
01
01
10
11
11
10
00
10
01
00
11
00
11
11
00
00
10
00
01
10
01
10
11
00
10
11
01
11
10
10
10
11
10
00
00
10
10
11
10
10
00
01
11
10
00
00
10
11
00
10
11
00
01
01
11
00
00
10
00
10
11
10
10
00
00
00
10
01
10
10
00
10
10
10
01
00
11
10
00
11
10
00
00
01
11
01
10
10
10
00
11
00
00
10
10
00
10
11
10
10
10
00
00
10
11
01
00
11
10
00
01
10
00
10
00
00
00
00
00
11
10
00
11
10
00
10
10
01
11
10
01
10
10
10
10
11
01
01
10
11
01
10
10
01
00
11
01
10
11
00
01
11
10
11
01
00
01
00
01
11
11
00
11
00
00
10
00
10
10
01
01
10
00
00
00
11
00
00
11
10
10
00
00
11
00
01
00
10
00
00
10
10
10
00
10
11
10
11
10
00
11
00
01
10
10
01
00
10
00
11
10
00
00
00
00
10
01
00
10
10
01
00
11
10
01
10
01
10
00
10
11
11
00
11
01
00
11
00
10
11
01
00
10
10
11
00
00
00
00
00
10
11
10
10
11
01
01
01
10
10
01
00
00
10
10
00
01
10
10
11
01
00
10
01
10
11
00
00
01
11
10
00
10
10
01
00
01
00
10
11
00
01
10
00
00
11
11
10
10
00
00
01
00
11
00
10
00
01
11
11
00
00
10
00
00
10
00
11
01
10
11
00
01
00
10
01
10
00
01
11
11
00
10
10
10
00
10
10
00
01
01
01
00
00
10
01
10
10
11
01
11
10
10
11
01
10
10
11
00
00
10
10
01
10
10
00
00
10
11
01
00
11
00
10
11
11
10
00
00
10
10
01
01
10
10
10
00
00
10
10
01
10
00
00
00
00
10
00
00
10
00
10
00
10
11
11
11
11
00
00
11
10
11
10
10
00
10
10
00
00
01
10
00
10
01
00
11
11
00
00
01
01
11
00
00
10
10
00
10
00
00
10
11
01
11
00
10
10
00
10
10
10
00
11
01
01
00
11
10
11
10
01
00
00
10
11
11
10
01
00
00
11
00
00
11
01
10
01
00
00
00
10
10
11
00
01
00
11
01
00
00
10
10
00
01
10
10
00
00
00
00
11
00
11
01
00
00
10
10
00
10
11
00
11
11
11
00
10
11
01
01
10
11
00
11
10
10
11
00
11
00
00
11
00
01
00
00
10
00
01
10
10
00
10
11
11
00
00
01
01
10
10
00
00
00
10
11
10
11
01
01
00
00
11
00
00
10
11
00
01
00
00
00
10
00
00
10
11
00
00
10
01
01
11
11
00
00
11
11
11
00
11
10
10
01
01
10
10
10
00
11
10
01
00
10
10
00
10
10
01
10
01
10
11
10
01
10
10
11
01
00
00
11
11
00
00
11
00
00
00
10
01
10
11
10
10
00
10
10
00
00
10
10
01
00
00
10
00
10
10
10
10
00
11
11
01
11
11
00
01
10
10
00
00
10
00
11
10
11
10
10
00
00
10
01
01
10
01
11
10
00
01
10
10
01
10
11
11
01
01
00
11
00
10
00
00
10
10
00
00
11
10
10
11
10
00
11
10
01
10
10
01
00
11
01
01
10
11
00
01
00
01
00
10
11
00
00
01
11
10
10
00
10
10
01
00
01
11
10
01
00
10
10
00
00
10
00
00
10
00
00
11
10
10
11
01
00
10
10
00
00
10
11
00
01
10
10
10
10
11
01
01
10
10
00
01
00
01
11
11
00
10
00
00
00
11
10
00
01
01
11
11
00
01
01
10
10
00
00
10
00
00
10
00
00
10
10
00
10
10
01
10
10
00
00
00
10
10
10
10
00
00
00
01
10
00
10
00
11
10
00
00
00
11
10
00
10
00
10
00
11
10
11
10
11
10
01
00
00
10
11
00
01
10
10
00
11
10
10
11
00
00
10
00
00
10
01
00
01
00
00
00
00
01
11
10
01
10
00
01
00
11
10
11
00
00
00
01
01
11
10
11
01
10
10
00
01
10
10
11
11
10
10
00
00
00
00
10
00
01
10
00
10
10
10
00
10
10
01
00
01
00
10
10
01
00
11
01
00
10
00
00
01
10
10
11
10
01
00
00
10
10
00
01
00
10
01
01
10
00
10
10
00
01
10
00
00
10
11
11
10
00
10
10
10
00
01
11
10
00
00
01
10
00
10
11
10
10
10
10
10
01
00
11
00
01
10
00
11
00
01
10
00
10
00
01
00
10
10
00
01
10
00
10
00
10
10
00
10
01
00
11
10
00
00
10
00
10
10
00
10
10
00
11
11
00
00
10
11
00
00
00
11
10
01
10
00
11
00
10
11
10
00
10
11
10
00
01
10
10
01
00
00
00
00
11
01
11
11
10
00
11
10
00
01
00
10
00
01
10
01
10
00
00
11
00
00
00
11
00
11
00
10
00
01
00
10
01
00
01
00
10
11
01
11
11
00
01
00
01
10
00
00
00
00
11
00
01
10
10
10
10
10
00
00
11
01
00
00
00
10
10
10
10
10
10
11
10
10
10
01
10
00
00
01
01
01
11
10
10
00
00
00
01
10
10
11
01
00
10
10
01
11
10
11
10
10
10
00
00
10
11
01
10
00
01
00
00
00
11
10
00
11
01
10
10
00
01
10
01
00
10
01
01
00
00
11
10
11
01
10
10
10
01
11
00
00
10
01
00
10
01
10
10
10
00
01
10
10
10
00
00
00
10
01
01
10
10
00
00
10
00
11
10
00
00
00
10
10
11
10
11
10
10
00
11
01
01
11
01
10
11
11
00
10
11
00
10
01
01
00
10
10
01
00
10
10
00
10
01
00
10
00
00
01
10
10
01
01
10
01
11
10
00
10
00
00
00
10
10
00
00
01
10
11
00
10
00
01
10
10
01
00
10
01
10
11
00
01
10
00
00
11
10
00
00
00
10
00
01
10
10
11
10
10
11
01
10
00
10
00
01
11
10
00
00
10
10
10
00
11
00
01
10
00
00
10
00
00
01
11
10
00
00
00
00
10
10
11
00
10
01
10
00
11
00
10
10
01
00
01
10
00
10
00
01
01
10
10
10
10
00
00
10
10
01
00
01
00
00
00
11
00
00
00
11
00
00
10
11
01
00
00
10
11
00
00
10
00
01
11
00
00
00
01
00
11
00
01
10
10
01
00
11
10
10
00
10
01
10
00
00
10
00
11
10
11
00
00
10
00
00
10
11
01
00
11
10
00
01
00
00
00
10
11
10
10
01
10
00
10
01
10
00
10
10
11
00
01
01
10
11
10
00
00
10
00
10
00
00
00
10
01
01
11
00
11
11
00
00
11
10
00
01
10
11
10
00
00
11
01
00
10
10
10
00
10
00
00
10
10
01
00
00
10
10
01
00
10
11
10
00
00
11
10
00
00
10
01
10
10
11
10
11
11
10
00
01
10
10
00
11
00
10
01
11
00
00
10
00
00
10
10
01
01
01
11
00
11
11
10
10
11
00
01
10
11
10
01
00
00
00
10
10
00
00
10
10
10
01
10
00
00
11
11
10
00
10
11
00
01
00
11
11
10
00
10
11
00
10
11
11
00
11
10
00
00
10
10
00
00
10
00
00
00
00
11
01
00
11
10
00
01
11
00
01
00
11
01
10
11
10
00
10
11
00
10
01
00
11
01
01
01
10
00
11
01
11
10
01
00
11
10
01
00
10
01
00
10
11
01
01
00
10
10
00
11
11
00
00
11
01
01
10
11
10
11
11
00
00
11
00
00
11
11
00
10
00
00
10
10
10
11
01
00
10
10
00
01
10
10
00
00
00
01
00
10
11
00
00
11
00
01
00
00
10
10
10
01
00
10
00
00
11
01
10
10
00
00
01
01
01
10
11
10
10
01
00
00
10
10
10
00
10
10
10
00
00
00
01
00
11
10
01
00
10
10
00
10
10
01
10
10
10
00
01
00
10
10
10
01
10
00
10
11
01
10
00
00
10
10
10
11
01
11
11
00
01
10
10
00
10
10
00
01
00
10
10
10
10
00
00
10
11
00
10
00
10
10
00
10
01
11
10
10
11
00
10
01
01
10
00
10
10
00
11
10
00
11
01
00
00
01
11
11
00
01
01
10
10
10
10
01
01
10
00
11
11
01
00
10
10
11
10
00
00
00
00
00
10
11
11
10
10
10
11
10
10
00
00
10
11
00
11
01
00
10
00
11
10
11
00
10
11
11
01
00
11
00
10
00
00
01
10
01
01
00
10
00
00
10
00
00
10
00
11
01
11
11
10
11
10
11
00
00
00
11
11
01
00
11
11
10
00
00
00
01
10
10
01
00
00
10
00
01
00
10
00
00
01
10
00
00
10
10
10
10
01
10
00
10
10
10
10
01
10
11
11
10
10
00
10
00
10
01
01
10
11
00
10
10
10
00
00
00
11
10
00
10
10
10
10
00
00
00
10
00
00
10
10
10
01
10
01
01
11
10
01
00
10
00
00
10
11
00
10
10
01
10
10
01
01
10
11
10
00
11
10
11
00
10
11
01
00
11
10
00
01
00
11
11
01
00
00
00
00
01
10
10
00
01
01
01
00
11
10
00
00
01
11
00
10
10
11
10
10
11
00
00
10
00
00
11
10
01
01
10
11
11
10
01
10
00
11
10
00
10
10
10
01
10
01
00
11
11
10
00
10
10
00
11
10
01
10
01
11
10
00
11
11
10
00
01
10
00
11
10
10
01
00
01
10
10
01
01
10
10
01
00
10
10
00
00
01
10
01
10
01
10
10
00
10
11
00
10
00
00
10
00
10
00
10
10
00
00
10
10
00
10
00
10
01
00
10
10
11
00
11
00
10
01
11
11
01
11
00
10
10
11
10
00
10
11
01
11
11
11
00
01
10
00
00
11
10
11
01
00
00
00
00
11
10
00
00
10
10
10
00
00
11
11
01
00
00
00
10
11
11
00
00
11
10
00
00
00
10
10
11
10
10
11
00
11
11
10
00
00
11
00
00
10
10
00
11
01
00
11
11
10
00
10
10
01
11
10
10
01
11
01
10
00
10
10
01
00
01
10
01
10
10
11
01
00
10
11
01
10
01
00
11
10
11
10
11
00
00
10
01
00
11
11
00
10
01
10
10
00
01
01
10
10
10
00
10
00
00
10
11
11
00
11
10
10
10
01
00
00
10
11
10
00
10
00
10
11
01
01
10
10
00
00
01
10
00
10
11
11
10
10
01
10
10
00
01
00
00
10
11
00
00
01
00
10
10
10
00
00
01
10
11
00
10
01
00
11
00
10
10
10
00
10
10
00
01
11
10
10
11
01
11
10
01
01
10
10
11
00
01
00
11
10
00
10
01
11
10
00
10
11
11
11
10
00
00
00
10
10
00
01
10
00
10
00
10
11
00
01
11
10
00
01
10
10
11
11
01
00
10
11
11
01
11
11
11
10
01
00
10
10
00
10
10
00
00
11
01
10
00
00
00
00
10
10
11
01
01
10
11
01
01
01
11
01
00
10
10
10
00
00
00
11
11
11
00
01
10
11
00
10
10
00
00
10
11
10
10
11
00
10
01
01
01
01
10
00
01
00
11
10
01
01
00
00
11
10
01
00
10
10
00
00
00
01
10
00
00
10
11
10
00
10
00
01
10
00
01
00
10
10
10
11
00
01
10
00
11
10
10
10
00
00
00
01
10
10
00
01
10
00
00
11
10
10
10
01
11
10
01
10
10
01
00
00
00
11
10
01
01
01
10
11
00
01
10
11
11
00
00
01
11
10
01
10
00
10
11
00
00
10
11
00
00
00
10
00
10
01
01
01
10
11
01
11
00
00
11
10
01
01
00
10
00
00
10
01
00
10
00
11
10
11
10
01
10
11
01
10
10
01
00
00
00
10
01
10
11
00
00
10
00
11
11
11
00
00
00
01
10
10
10
00
00
00
00
00
00
10
10
11
00
00
11
10
11
10
10
01
11
10
00
01
00
10
01
00
10
00
00
11
11
00
11
10
01
10
11
11
00
00
10
10
00
10
10
10
01
10
10
10
00
11
00
11
00
10
10
01
00
11
00
01
10
01
10
00
10
10
00
00
01
10
00
01
01
01
00
11
10
10
00
01
01
11
11
00
01
00
00
10
10
00
00
11
10
00
11
00
11
10
10
11
10
10
10
10
00
00
10
00
00
01
00
11
10
00
10
11
10
00
11
00
00
00
00
10
11
10
00
00
10
10
00
10
10
11
01
01
01
00
11
01
11
10
00
00
10
10
01
01
10
00
01
01
10
10
11
11
10
11
00
10
01
00
10
00
00
11
01
11
01
00
10
10
00
00
11
00
11
01
10
10
01
01
00
00
10
10
00
10
10
10
10
10
10
00
01
10
00
11
10
00
00
10
11
00
10
10
10
00
00
00
11
10
01
00
01
10
10
00
10
10
10
00
01
10
10
00
00
10
00
01
01
01
10
10
11
00
01
00
10
10
01
00
10
00
01
00
10
10
10
10
01
10
11
01
11
11
01
00
00
10
10
10
10
01
01
11
11
00
11
11
00
10
00
01
10
00
00
00
11
10
00
10
01
00
10
10
10
00
00
10
01
01
10
00
10
11
10
11
00
11
11
11
10
10
11
00
01
10
10
00
00
10
10
00
00
01
00
11
10
00
10
00
10
10
01
10
01
00
00
00
11
00
11
10
00
00
10
00
10
00
11
01
10
10
00
10
00
10
11
00
00
10
10
11
01
10
11
00
01
00
00
00
11
10
01
00
10
01
01
11
11
00
00
10
00
10
10
11
00
00
00
00
10
00
00
00
10
11
10
11
10
01
11
10
11
01
00
10
00
00
10
00
11
01
00
10
00
00
10
10
00
10
10
00
10
01
00
01
11
00
00
10
00
01
01
10
10
11
10
00
00
00
10
10
10
00
00
10
00
11
00
00
10
00
10
01
10
10
00
00
11
00
10
00
00
10
00
10
10
00
11
00
01
10
10
10
01
10
11
10
01
00
11
01
00
11
10
11
01
00
11
10
10
01
10
10
01
00
10
00
00
10
10
01
10
10
11
00
00
00
10
10
00
10
10
10
00
00
11
10
11
01
01
01
10
00
00
10
11
00
11
10
11
00
10
11
01
00
10
00
10
11
00
11
00
10
00
00
10
11
00
01
10
10
00
01
01
10
01
01
11
10
11
11
00
01
10
00
01
10
10
00
00
10
10
01
11
00
10
00
10
11
10
01
10
10
01
00
01
11
11
01
01
10
11
00
10
10
00
00
11
10
00
10
10
01
10
00
11
10
10
00
11
01
00
10
01
10
01
00
10
11
00
10
10
10
00
10
00
00
11
11
00
10
11
01
00
10
00
11
00
00
00
00
10
11
00
01
10
10
00
11
01
10
01
01
00
11
10
00
11
01
10
00
01
10
11
00
00
11
10
01
00
00
11
10
01
10
01
00
00
11
11
00
10
10
00
10
10
00
00
00
10
11
00
00
00
11
00
10
10
10
01
10
00
00
11
10
10
00
00
00
11
00
01
11
00
10
10
00
11
10
00
10
10
10
11
10
00
00
10
00
10
10
10
10
10
10
01
01
10
00
00
00
10
10
00
00
01
00
10
11
01
11
01
01
01
00
10
00
01
00
11
10
00
11
10
01
00
00
10
01
10
00
10
11
01
00
01
10
01
00
11
00
00
11
11
00
00
10
10
10
10
00
11
10
00
01
01
00
11
00
10
10
01
10
00
00
11
10
10
01
00
10
01
01
00
00
11
00
10
01
10
00
01
10
00
01
10
10
10
10
01
00
11
10
10
00
01
01
10
10
10
10
00
00
00
10
10
00
00
00
10
11
11
01
00
11
00
11
00
10
10
00
00
11
10
00
10
10
11
00
11
00
01
00
00
10
11
00
10
10
00
11
10
11
01
00
11
00
10
00
10
10
01
00
10
00
10
10
10
00
00
10
10
10
10
01
10
00
00
00
11
11
00
10
00
10
11
10
11
00
00
01
00
11
00
00
10
01
01
01
01
11
11
10
00
00
10
10
01
00
10
10
00
00
00
00
00
01
00
01
10
11
00
11
10
01
11
10
10
00
00
11
10
01
10
01
00
10
01
11
11
01
11
11
11
10
00
10
10
01
01
00
11
11
01
00
10
01
00
10
11
00
01
00
10
11
01
00
00
01
10
00
00
11
11
10
00
00
10
10
11
11
00
10
11
10
00
11
10
00
00
00
11
00
00
10
11
11
00
00
11
10
00
10
10
01
10
01
11
00
00
00
10
10
11
01
01
00
10
00
00
00
11
10
10
00
00
11
01
00
01
11
01
01
10
01
10
11
10
11
00
00
10
11
01
00
10
10
00
01
10
10
11
10
00
01
00
00
10
11
00
00
00
00
00
10
00
01
01
11
11
00
11
10
10
11
01
00
01
10
10
00
01
10
11
01
00
00
11
10
10
10
00
01
01
01
11
10
01
10
11
10
10
10
00
00
10
01
01
10
10
11
11
11
11
01
00
10
10
01
10
11
00
10
01
00
10
11
10
00
00
00
10
11
01
01
11
10
01
11
01
00
00
10
10
10
01
01
10
10
01
00
01
01
10
01
00
10
11
10
00
01
10
10
00
10
10
10
11
00
11
10
10
00
10
10
00
10
10
01
10
11
00
10
00
00
10
10
10
01
10
10
00
00
00
10
00
10
00
00
10
10
11
00
10
11
01
10
10
01
10
10
11
10
11
00
01
01
10
10
10
00
00
00
00
00
01
10
10
10
00
10
00
11
11
00
10
00
00
10
10
11
01
10
00
01
10
00
10
11
00
10
11
10
10
11
01
00
10
00
00
10
00
11
01
11
11
11
10
00
10
11
01
00
10
00
11
10
10
00
10
10
00
10
10
11
11
00
00
00
10
11
00
10
00
00
00
11
10
10
10
00
01
01
00
10
10
00
00
00
11
11
00
00
10
01
00
00
00
11
10
00
10
10
01
10
11
00
00
10
11
00
00
01
10
11
01
11
00
00
00
10
11
00
00
10
10
00
00
10
10
10
11
00
01
00
00
10
01
00
10
10
00
00
10
10
11
11
00
00
00
01
10
10
00
10
11
11
10
00
11
10
10
11
00
01
10
11
10
00
00
01
01
10
00
00
10
11
10
10
11
01
11
11
00
00
10
10
00
00
10
11
10
10
10
11
00
10
00
00
00
11
01
10
00
00
00
11
10
00
10
00
00
00
10
11
11
11
00
00
01
01
10
10
10
00
11
10
11
01
00
10
11
10
01
00
00
00
10
10
10
00
00
10
10
10
11
01
10
11
00
01
00
01
00
00
10
10
01
00
10
10
01
11
10
00
10
11
10
00
11
11
10
10
10
00
00
10
10
10
01
11
11
00
10
11
00
01
11
00
01
11
10
01
00
11
00
00
10
10
00
00
10
10
00
00
01
01
10
00
10
00
11
10
10
00
11
00
10
11
00
10
11
01
10
00
00
11
10
00
11
11
01
00
00
00
00
10
10
10
00
00
11
01
00
10
00
10
00
10
10
10
10
10
10
01
11
00
10
10
10
00
00
00
10
01
00
00
10
00
00
10
10
10
10
10
00
11
10
11
10
01
11
10
10
00
10
10
00
00
10
00
11
10
01
01
00
10
11
00
00
01
10
10
01
11
00
11
00
00
10
11
11
10
00
00
11
11
10
11
11
00
11
00
00
11
00
00
10
10
00
01
10
10
10
00
10
00
01
01
10
10
00
10
10
00
00
00
10
10
10
11
10
00
10
10
00
10
10
10
10
10
01
10
00
10
00
10
00
10
10
00
00
11
00
00
00
10
11
11
01
00
10
10
11
00
00
10
10
00
01
10
10
01
01
10
01
10
11
10
01
00
00
01
10
00
00
00
11
10
10
00
01
11
00
01
10
10
01
01
11
10
11
00
10
10
00
10
10
10
01
00
00
10
00
01
10
01
01
10
10
11
00
11
11
01
00
10
10
11
11
01
00
10
10
00
00
01
11
00
10
00
00
10
11
11
01
10
10
10
00
10
01
00
00
10
01
00
10
10
10
01
01
00
10
00
10
10
01
01
10
01
00
01
00
10
01
11
00
11
00
01
10
00
10
11
01
01
01
11
00
00
00
01
10
10
10
11
01
00
10
10
00
11
00
10
11
00
01
00
00
10
11
00
11
00
01
11
10
00
00
11
01
10
10
11
01
01
00
00
10
11
01
10
10
00
01
10
10
10
10
10
10
00
01
10
10
11
11
01
01
00
11
00
01
11
11
00
00
10
01
10
10
10
00
11
11
00
10
01
00
10
00
00
10
11
00
10
11
10
01
10
10
01
10
01
00
10
11
10
00
10
11
11
10
10
01
10
01
11
10
11
00
10
11
11
01
00
11
10
00
10
11
00
01
00
00
11
00
00
00
11
10
11
00
00
10
10
00
10
10
00
10
00
00
00
01
10
01
10
10
10
00
00
11
00
00
10
10
00
01
10
10
00
00
00
00
00
01
01
01
00
11
11
11
11
01
10
10
00
00
10
10
01
01
11
10
10
10
10
01
01
10
00
00
00
10
00
01
10
10
10
00
00
00
11
11
00
11
10
10
01
01
00
00
00
11
00
00
10
10
10
11
01
00
01
10
00
00
10
01
11
01
00
00
11
10
10
11
00
01
10
01
10
11
01
00
01
10
11
10
01
01
11
10
11
11
00
10
10
11
11
00
00
01
00
10
01
00
10
01
10
00
10
01
00
00
10
11
10
00
00
10
11
01
10
10
00
10
10
01
10
01
00
10
10
10
10
10
10
00
10
10
11
00
01
10
10
00
01
00
00
11
10
00
00
01
11
00
10
11
10
11
10
01
00
11
11
10
00
00
11
10
01
00
00
10
00
00
11
00
00
10
00
00
10
10
00
01
10
00
10
11
10
10
10
00
00
00
00
10
10
11
10
00
11
00
00
00
10
01
00
10
10
00
00
11
01
01
11
10
01
11
00
10
00
11
00
11
10
00
00
10
10
00
10
10
10
01
11
10
01
00
10
00
00
11
10
00
00
10
01
10
11
00
00
01
11
10
00
10
10
10
10
10
10
01
01
00
10
11
01
00
00
10
10
10
00
00
00
11
00
01
11
11
01
00
10
00
10
00
01
10
10
10
10
10
00
01
00
10
00
01
10
01
10
10
10
01
10
10
00
00
00
10
10
00
10
10
00
11
11
11
10
01
00
11
01
10
00
10
10
00
10
01
00
00
11
11
01
10
00
10
11
01
01
11
11
01
10
10
00
10
11
00
10
10
00
00
01
00
10
00
00
10
00
01
00
10
11
00
10
11
01
10
00
10
00
01
00
00
10
11
00
10
10
10
10
10
10
00
10
01
00
10
11
11
01
00
01
00
10
10
00
10
10
01
11
00
10
00
01
10
10
10
10
00
01
00
10
01
01
10
11
11
11
01
11
01
10
10
00
00
10
11
00
00
11
01
00
10
10
10
11
00
01
11
01
00
10
00
10
00
01
00
10
00
00
11
11
00
10
11
10
11
10
00
11
00
00
01
10
00
01
00
10
10
00
11
10
01
01
11
10
10
10
11
00
00
10
10
10
00
10
10
00
01
01
10
11
00
00
10
00
00
10
00
00
11
01
10
00
11
00
01
11
11
10
00
11
01
00
10
11
00
11
10
10
11
01
01
00
00
11
11
11
01
01
00
11
10
00
11
10
10
01
01
10
00
00
10
00
01
10
10
11
01
00
01
01
00
00
01
11
10
10
00
00
00
10
00
11
10
00
00
00
00
00
00
11
10
10
00
10
01
01
00
10
10
11
10
00
00
01
11
11
01
01
10
10
11
00
10
11
00
00
10
00
01
00
11
10
00
11
01
00
00
00
11
11
00
00
00
10
11
00
00
10
10
00
01
10
00
10
11
10
01
01
10
01
00
01
00
00
10
10
00
01
10
11
00
10
00
10
10
00
10
00
10
01
00
01
10
10
11
10
01
10
01
00
11
10
01
10
10
11
10
01
10
01
00
01
10
10
01
01
00
11
11
00
01
00
10
11
00
01
11
10
10
00
01
00
10
10
00
00
00
11
10
00
10
10
10
00
01
11
01
01
10
11
00
01
10
10
10
00
10
11
01
00
10
10
00
10
01
10
10
01
00
00
00
11
11
11
11
00
10
10
10
00
10
11
00
00
00
00
11
00
01
00
10
10
10
01
10
00
00
00
10
10
10
00
00
10
01
10
11
01
00
00
01
00
10
00
01
11
01
11
10
10
00
11
00
00
10
10
01
11
00
00
10
01
00
00
00
00
10
10
00
10
00
00
00
00
10
11
10
00
01
11
10
10
10
00
10
10
00
00
11
11
01
10
01
11
10
01
00
10
10
00
01
11
10
00
11
10
10
00
10
10
00
01
00
00
10
10
00
00
11
01
01
11
01
10
00
00
10
10
11
10
00
11
11
11
11
11
11
01
01
10
01
00
11
00
00
10
10
11
00
10
00
00
11
00
10
00
00
10
00
00
10
10
00
10
11
00
00
00
11
10
00
10
00
00
10
01
11
11
01
10
00
00
11
01
10
10
01
00
00
01
10
11
00
11
10
10
00
10
00
01
11
10
10
10
10
00
10
00
01
10
10
10
00
11
11
10
00
11
00
10
01
11
10
00
00
01
11
00
10
00
10
11
00
00
10
01
00
11
10
00
00
01
01
00
10
11
10
00
00
10
10
11
10
00
00
10
00
00
00
10
11
00
00
11
00
00
00
00
10
00
00
11
01
00
00
01
11
10
00
10
10
00
10
00
01
01
01
10
11
10
10
01
10
00
00
00
11
01
00
10
00
00
10
00
00
00
10
10
11
01
10
11
00
00
10
10
10
00
00
11
10
00
11
10
10
10
10
01
11
00
10
10
00
01
00
00
00
11
01
00
10
11
00
10
01
00
00
01
10
00
10
00
00
00
00
11
10
00
00
10
00
10
01
11
10
00
00
10
10
01
00
00
00
00
00
01
11
11
10
10
01
00
10
00
11
10
10
00
10
01
01
10
00
10
10
10
11
00
11
10
01
01
11
10
10
00
01
11
11
01
11
10
01
11
11
11
01
00
10
11
10
10
00
10
11
00
11
10
00
01
10
10
00
00
10
01
10
00
10
11
01
00
10
01
00
10
10
01
01
00
00
10
10
00
11
01
01
01
10
01
11
01
01
00
10
10
11
01
11
11
01
00
00
00
11
10
00
00
11
10
10
01
00
00
10
01
11
00
00
00
00
10
10
10
11
01
00
01
11
00
10
10
11
00
00
10
10
01
00
00
00
01
11
10
10
00
10
11
01
01
10
01
00
10
01
01
10
11
10
01
11
00
11
01
10
11
00
00
00
01
10
10
01
10
00
11
01
11
10
00
00
10
10
01
00
10
10
00
10
11
10
00
00
11
11
00
10
10
01
10
00
01
00
11
01
11
01
01
00
10
01
01
10
00
01
01
00
01
10
11
00
00
11
10
10
11
11
00
10
10
00
01
10
11
10
00
01
00
10
10
00
00
01
10
10
01
10
10
10
01
11
00
10
11
00
10
10
00
00
10
10
11
11
10
01
00
00
01
11
00
10
11
00
10
10
00
10
10
01
11
11
00
00
10
10
00
00
10
10
01
00
10
00
00
10
01
10
10
00
01
10
11
10
01
11
00
00
00
11
10
11
10
10
10
00
00
11
01
00
01
00
00
10
10
10
10
10
00
01
00
00
10
00
11
00
10
10
00
10
01
11
00
00
00
10
10
10
01
00
10
01
11
00
00
00
00
11
11
00
10
00
11
00
10
10
01
01
11
10
00
00
10
10
00
10
10
00
00
01
10
01
10
00
10
10
00
11
10
00
11
01
00
01
00
11
10
01
10
10
10
01
00
00
00
10
11
00
10
10
11
10
11
10
00
10
01
10
00
00
10
10
01
00
10
00
00
00
11
10
00
00
00
11
10
01
01
00
00
10
11
00
00
01
11
01
00
01
11
10
10
00
10
11
00
00
01
10
10
10
11
10
10
10
10
00
00
10
10
00
10
00
00
10
01
10
11
11
10
00
00
10
11
10
01
01
10
11
10
01
00
10
10
00
00
10
10
00
10
00
10
00
01
00
10
10
10
11
01
00
01
10
10
01
10
00
00
00
10
00
11
10
01
11
11
10
00
00
10
00
10
00
01
00
10
00
00
01
00
10
01
00
10
01
10
01
11
10
10
10
00
01
00
10
00
00
01
10
00
10
01
11
10
00
10
00
10
01
00
10
11
01
11
10
01
00
10
11
01
10
10
01
11
10
10
00
10
00
11
00
01
10
11
00
00
00
11
00
00
00
10
00
10
00
00
00
11
10
00
01
10
00
11
11
10
01
01
00
01
00
00
10
11
11
00
00
00
01
10
01
10
10
11
10
10
11
00
00
01
10
11
10
01
10
10
00
00
01
00
01
11
11
11
01
00
01
11
10
11
00
00
00
10
10
00
00
00
10
11
00
10
00
00
01
10
10
11
11
01
00
11
00
10
00
00
10
00
01
11
00
10
01
10
10
01
10
10
00
10
10
10
01
00
00
10
10
11
10
11
01
01
10
00
00
11
00
01
01
10
00
00
01
01
10
00
00
00
10
00
10
10
01
10
00
00
01
10
10
01
11
01
01
00
10
10
00
11
10
00
00
10
10
00
10
00
11
10
00
01
00
00
11
11
01
10
00
00
10
10
10
10
01
11
10
10
10
00
11
10
10
10
00
10
10
10
00
01
00
11
00
11
11
00
10
00
01
00
10
10
10
10
00
10
00
10
00
10
01
00
10
10
10
10
00
11
00
11
11
00
00
10
11
00
11
01
01
10
10
01
01
11
11
01
00
00
10
11
00
01
10
10
00
11
10
00
10
10
00
11
01
11
11
11
01
10
11
01
01
00
11
10
11
10
01
10
00
11
10
01
00
11
10
01
00
11
01
00
00
10
01
01
10
10
00
01
10
01
11
00
11
10
00
01
00
00
01
00
10
01
10
11
11
11
01
00
01
10
11
10
00
01
11
11
00
11
11
00
10
10
00
01
00
11
00
11
10
10
10
01
00
00
10
10
01
00
00
01
00
01
10
10
10
01
00
10
00
00
10
10
11
00
00
11
00
10
00
11
10
00
11
11
10
01
01
00
11
10
10
00
11
10
10
10
01
10
10
10
00
10
11
00
00
00
01
10
10
00
00
11
10
01
00
01
11
00
10
10
01
00
10
10
00
00
10
10
00
00
11
00
11
10
00
10
00
00
10
11
10
00
00
00
01
10
00
10
11
10
00
10
00
01
10
01
00
01
11
10
00
00
00
11
00
00
10
00
00
10
01
10
11
00
00
01
11
10
00
01
11
11
00
11
11
00
10
01
01
10
10
00
00
10
01
00
11
10
10
01
00
10
11
10
10
00
10
00
10
10
00
10
00
00
10
10
00
00
00
10
01
10
10
11
01
11
00
11
11
10
10
10
00
00
10
11
00
10
10
00
01
00
11
11
10
00
00
00
10
11
10
00
10
01
10
10
01
01
01
11
01
10
10
10
10
01
01
00
00
11
00
01
01
10
10
10
01
00
10
11
00
11
10
00
00
10
00
01
10
00
00
10
00
00
00
00
10
10
10
11
00
00
11
11
10
11
00
10
10
10
01
10
01
10
00
01
01
10
11
10
10
00
01
11
00
00
10
01
00
00
00
11
10
10
11
00
11
11
01
10
11
00
00
01
10
00
00
01
00
01
11
10
00
01
00
01
10
01
00
00
10
10
00
11
10
00
00
00
11
11
11
10
00
00
10
00
11
10
01
11
00
10
10
00
01
01
10
10
00
00
10
01
00
00
00
11
01
00
00
11
01
10
10
11
11
00
00
10
00
01
00
10
10
10
00
00
00
01
10
01
00
00
00
10
11
10
11
00
00
10
10
00
10
11
00
11
10
11
11
10
00
10
00
10
01
00
11
10
00
10
00
00
10
10
10
10
00
10
00
00
11
00
10
10
00
01
00
01
00
11
01
00
00
00
00
10
11
01
01
11
10
10
11
00
10
11
00
00
00
00
00
01
00
00
10
00
01
00
00
11
11
11
01
10
01
10
00
00
01
11
10
10
00
00
00
00
11
11
00
01
00
10
10
10
11
00
10
00
00
10
10
00
01
01
10
10
11
11
01
10
11
00
00
10
00
01
11
10
00
10
00
00
10
11
10
01
00
11
00
00
00
00
10
10
00
01
11
10
10
01
10
10
10
11
01
00
10
00
00
10
01
11
00
11
11
00
00
00
00
10
01
11
11
11
00
10
11
01
11
01
10
11
10
10
10
00
00
10
01
00
00
11
10
10
10
00
00
00
01
10
10
01
10
01
00
10
10
10
10
00
10
01
01
00
11
01
00
11
01
10
11
00
01
11
01
00
00
10
00
10
11
00
00
11
10
10
01
10
10
00
10
01
10
10
00
00
10
01
00
10
11
11
11
00
01
10
11
10
10
00
00
11
10
10
01
11
10
01
10
11
00
01
01
01
00
11
10
10
01
01
10
10
00
00
10
10
00
01
11
01
10
11
10
00
00
00
00
11
00
10
10
00
00
01
10
10
10
01
00
00
01
01
11
11
10
00
01
11
10
01
10
10
00
10
01
11
10
01
10
11
01
11
00
00
10
01
01
00
10
10
10
00
00
01
00
10
10
00
01
00
11
10
00
01
10
01
10
00
00
00
01
10
11
00
00
10
11
01
00
00
10
00
01
00
11
10
10
00
00
00
11
10
00
10
10
01
00
11
01
10
00
10
01
11
10
00
00
10
00
10
10
01
01
10
10
10
01
00
01
11
11
00
01
11
10
11
11
01
11
10
01
11
11
00
00
10
10
10
00
00
10
00
11
10
01
10
01
10
11
10
00
00
10
00
00
11
10
00
00
11
11
00
01
11
10
11
11
00
00
10
11
00
10
10
10
00
00
00
11
11
01
00
00
10
01
10
00
10
11
11
01
10
01
11
00
00
01
10
10
10
00
10
11
10
11
00
01
10
10
01
10
01
00
10
00
00
10
10
01
00
00
01
11
10
10
00
11
00
11
01
01
01
10
11
00
10
11
01
01
10
00
10
10
01
00
11
10
01
10
11
00
00
10
00
10
00
10
10
01
10
01
01
00
00
10
01
01
00
10
10
01
01
10
10
10
01
10
01
01
11
00
01
10
00
10
11
00
10
01
01
10
10
00
11
00
01
10
01
10
10
00
11
01
00
00
10
00
01
00
10
00
10
00
01
00
10
11
00
10
11
10
10
00
01
10
01
10
10
00
01
10
10
00
01
01
11
10
10
11
00
00
00
01
00
10
10
10
01
00
10
10
11
10
10
01
00
00
01
00
00
00
00
10
00
10
10
11
10
01
00
00
01
00
11
10
11
00
11
00
10
10
11
10
00
10
10
10
10
10
01
00
00
10
00
00
00
10
10
00
10
10
00
01
00
00
10
10
10
00
00
00
00
10
10
10
10
10
11
00
00
10
11
10
11
00
00
10
11
10
01
00
01
01
10
00
11
10
10
01
01
10
10
00
00
11
00
01
01
10
11
00
10
01
10
10
10
00
01
10
00
10
00
11
11
01
00
10
00
01
10
00
11
11
00
00
00
00
00
01
10
10
01
10
10
10
00
00
01
00
10
10
01
01
01
00
10
00
00
11
00
11
11
10
00
01
00
01
00
11
00
00
00
10
00
00
11
10
00
10
11
00
00
00
10
11
10
10
00
11
11
00
00
10
10
00
01
10
01
11
11
00
01
00
11
00
01
10
00
01
10
00
00
00
10
00
10
00
01
11
00
11
11
10
01
00
11
00
11
11
10
10
10
10
01
00
11
10
01
00
11
10
00
11
10
00
01
01
10
10
10
00
01
10
10
10
00
11
10
11
00
00
00
00
10
01
10
10
11
00
01
00
11
00
00
01
11
00
10
00
10
10
10
00
00
10
10
11
00
11
11
10
00
00
11
11
00
00
00
00
10
00
00
10
11
01
00
10
10
00
10
00
10
10
11
01
10
00
10
10
10
10
00
01
10
01
11
10
11
10
00
00
11
10
11
11
00
11
00
00
10
10
01
11
11
10
00
00
10
10
00
00
11
10
10
11
10
11
10
10
00
00
11
11
00
01
10
11
10
00
01
10
00
11
01
01
00
01
10
10
10
01
11
11
01
00
10
00
10
00
10
10
00
00
10
11
11
00
10
11
11
10
00
01
10
10
01
00
00
11
10
10
01
10
00
10
11
10
11
01
10
00
10
01
10
00
00
10
00
10
01
10
10
10
11
00
11
10
11
00
00
10
00
11
11
00
00
00
10
00
10
10
10
00
11
10
01
00
10
10
00
00
10
11
00
10
00
10
10
00
01
10
00
00
10
11
10
01
01
10
10
01
01
00
00
11
10
00
00
10
00
10
00
10
10
00
00
10
01
00
10
10
00
01
00
10
01
10
01
11
00
11
00
00
11
00
10
00
00
10
00
10
01
10
11
10
10
00
11
01
10
00
10
00
10
10
10
00
00
00
00
01
00
11
10
01
11
10
10
10
10
00
00
10
10
00
10
00
11
00
00
10
01
11
11
11
01
00
11
00
00
10
11
10
11
10
00
00
10
11
11
11
00
00
00
00
01
10
11
00
10
10
00
10
00
10
10
00
01
10
00
00
11
00
10
10
10
11
00
10
10
11
11
11
00
00
11
11
11
11
00
00
00
01
10
01
00
11
00
10
10
00
00
11
10
00
01
11
01
00
01
11
00
10
00
10
10
11
00
01
11
11
11
00
01
10
11
10
01
00
10
10
00
10
00
01
10
00
01
00
01
01
01
10
10
10
00
00
11
11
01
00
10
00
01
00
00
10
10
10
01
00
10
01
01
10
10
00
00
10
11
11
11
00
11
10
10
01
01
11
10
11
00
10
10
10
10
01
01
10
00
01
11
01
10
00
01
10
11
00
01
10
10
10
00
10
11
10
00
10
11
11
10
10
11
00
10
10
00
01
10
10
10
00
01
01
10
11
10
10
00
01
10
01
00
10
11
10
00
10
11
01
00
11
01
11
11
11
11
01
01
01
00
10
10
01
00
01
11
00
01
10
00
11
10
01
00
10
11
01
01
10
10
01
11
00
00
10
00
00
00
11
11
10
00
10
01
10
00
10
10
00
00
10
00
00
01
00
10
00
10
10
00
10
10
11
00
10
00
00
00
11
00
10
10
00
10
11
10
11
01
01
10
10
00
00
10
10
10
10
00
00
01
10
10
01
00
00
01
00
00
11
00
10
11
10
10
00
10
11
00
01
01
01
10
10
11
01
11
00
00
10
11
00
01
10
01
00
11
00
00
00
11
01
10
00
00
00
11
00
00
00
11
10
01
10
00
00
00
11
10
11
01
11
00
10
10
11
00
01
00
00
11
11
10
10
11
10
10
00
01
11
10
10
10
00
00
10
11
11
10
00
00
01
10
00
10
00
01
00
01
10
11
00
10
10
00
11
00
01
10
01
00
11
00
00
10
11
01
01
00
11
00
00
00
00
00
10
11
00
00
10
11
00
10
00
10
10
01
11
01
00
00
01
00
10
10
01
00
11
11
01
10
00
10
10
11
11
00
01
00
00
11
01
10
10
10
00
10
10
00
00
00
10
11
11
11
00
00
11
10
00
10
10
01
00
11
11
10
00
10
00
11
10
00
01
00
10
01
01
01
00
10
10
10
01
00
00
10
00
00
10
10
10
00
01
10
11
10
00
10
10
10
11
00
00
11
00
11
00
10
10
00
11
10
10
01
00
01
00
10
10
00
00
01
11
10
01
01
00
01
00
01
00
01
10
10
00
00
00
01
00
01
11
11
00
11
01
00
00
10
01
00
10
10
00
11
10
10
00
00
01
11
01
11
10
10
11
10
01
10
10
00
01
00
11
10
00
00
01
01
10
00
00
10
10
00
00
00
11
10
10
10
00
00
11
10
11
00
01
11
00
01
10
10
01
10
00
01
11
00
01
10
11
00
01
10
10
00
11
00
00
00
10
10
10
10
00
00
10
00
00
00
10
11
00
10
10
10
10
00
11
00
11
00
10
11
10
01
11
01
00
10
01
00
00
11
00
11
01
00
10
00
00
00
10
10
01
10
10
00
11
11
00
00
11
00
00
00
00
00
01
00
11
00
00
00
11
00
00
10
10
10
10
01
10
10
00
00
10
10
00
00
11
00
10
00
01
10
00
00
00
00
10
00
10
01
00
11
10
10
00
11
11
00
01
11
10
01
10
01
00
01
10
11
11
00
10
00
01
10
10
00
11
00
01
10
10
10
01
10
10
11
10
01
11
10
10
11
10
00
10
10
00
00
10
00
01
00
00
11
11
00
10
11
10
00
00
11
00
00
01
10
10
00
10
01
10
10
11
00
10
10
01
01
01
00
10
11
00
01
10
01
10
10
00
10
01
00
00
10
10
00
01
10
00
10
11
00
00
11
10
10
00
10
10
01
10
00
01
10
11
10
11
10
01
01
10
00
10
11
00
10
00
10
11
00
00
11
11
10
01
00
00
00
10
00
00
10
11
11
11
10
10
00
00
11
00
00
10
10
10
00
10
00
10
11
10
00
00
00
10
10
00
00
00
11
10
00
01
11
11
01
01
11
00
10
00
10
01
01
10
11
00
01
11
10
10
01
00
10
11
00
00
10
10
11
00
00
00
10
00
11
01
00
11
11
00
01
00
11
01
10
10
01
00
10
10
10
10
10
01
00
10
11
00
01
10
10
00
10
01
01
00
10
10
10
10
00
01
00
11
00
11
10
00
00
01
10
10
00
10
00
00
00
10
10
00
01
11
00
01
10
10
10
01
00
10
00
11
10
11
10
00
00
11
10
01
10
11
10
00
11
11
11
00
01
11
00
00
10
10
00
01
10
00
00
11
01
00
11
10
11
11
11
00
10
00
00
10
10
00
01
10
10
00
11
10
10
10
00
10
10
00
00
00
01
10
01
00
10
10
10
11
00
00
10
11
01
01
01
10
10
00
00
00
00
00
10
10
10
11
00
00
01
01
00
11
10
00
00
10
11
10
10
00
01
00
00
00
00
11
00
10
10
00
11
10
00
00
10
10
10
00
00
10
11
10
00
10
00
11
11
10
01
01
11
01
01
11
00
10
01
01
00
01
11
10
01
10
10
01
01
11
00
00
10
11
10
11
01
00
10
01
00
10
10
01
00
01
11
00
10
00
10
10
00
01
00
10
11
10
00
00
01
10
00
00
10
11
00
00
11
10
11
00
01
00
10
10
00
00
11
10
10
11
10
11
10
01
01
00
00
11
00
01
01
11
00
01
00
00
00
10
10
10
10
11
10
11
00
00
01
01
00
10
01
10
00
10
10
00
00
10
00
11
00
00
00
11
00
10
00
10
11
00
01
00
01
00
11
10
00
00
00
10
10
00
01
10
10
00
10
00
00
11
00
10
10
11
10
00
00
10
00
01
10
00
00
00
00
01
00
01
00
01
10
00
00
11
10
00
10
10
10
11
10
10
10
00
10
00
10
10
01
00
01
10
10
10
11
10
10
00
00
01
10
01
11
10
10
00
00
11
11
00
00
10
10
10
10
10
00
01
00
00
10
00
00
10
01
11
00
00
10
00
00
10
10
10
01
00
00
11
01
10
11
01
10
11
10
00
10
10
01
01
10
11
00
01
11
00
10
11
01
01
10
00
00
11
10
10
10
00
10
10
10
01
10
11
11
01
00
01
00
11
00
11
11
00
00
00
10
11
10
00
00
11
00
10
10
10
10
00
01
00
01
10
10
10
01
00
10
10
00
10
00
00
01
11
10
01
01
01
11
00
11
11
10
00
01
11
01
00
10
10
00
00
10
00
00
00
10
00
00
01
00
10
01
10
11
00
11
01
00
10
00
00
10
10
00
01
10
10
00
00
10
10
10
10
00
01
10
00
00
01
00
00
10
00
10
01
01
10
00
01
00
10
11
00
11
11
11
01
11
00
00
00
01
00
11
11
00
01
00
11
11
00
00
01
10
10
00
00
00
10
01
00
10
11
00
00
01
10
01
10
01
10
00
00
11
11
00
11
10
10
00
10
01
11
11
00
00
01
01
00
11
11
00
01
00
00
00
11
00
01
10
00
00
10
10
10
00
10
00
00
10
00
10
11
00
00
11
10
01
00
01
00
00
11
10
00
10
00
10
11
10
00
11
01
00
00
01
10
10
10
01
00
11
00
11
00
10
01
10
10
01
01
10
00
00
10
10
10
00
00
11
10
01
00
10
11
00
00
00
11
11
11
10
00
00
11
00
10
01
11
11
10
11
00
11
00
00
11
10
11
00
00
10
01
01
10
00
01
10
10
10
10
00
00
10
11
01
10
00
10
00
10
00
01
10
11
01
10
11
10
10
00
00
10
10
10
00
10
00
11
10
00
00
11
01
00
00
10
10
00
10
11
00
00
10
01
01
10
01
00
01
11
10
01
00
01
11
11
11
10
00
00
00
11
11
00
00
10
11
10
10
10
00
00
00
10
11
00
00
00
00
00
00
00
10
10
10
01
10
10
00
10
10
00
10
01
01
10
10
00
00
01
01
01
01
01
10
01
10
00
01
10
11
01
00
10
10
00
10
00
01
00
00
10
00
10
11
00
01
10
01
00
01
01
01
10
11
10
00
00
10
01
10
01
00
00
11
00
11
10
01
10
11
00
10
01
01
01
00
00
10
00
01
00
11
10
01
10
11
00
11
00
01
10
01
00
10
10
00
10
11
10
00
11
10
11
00
00
11
00
01
01
10
11
00
01
11
00
00
00
00
11
00
00
01
11
10
00
00
10
00
11
00
10
10
00
00
00
10
00
00
00
10
01
00
10
00
00
00
10
10
10
01
11
11
01
11
10
10
00
00
11
01
11
10
00
00
00
01
10
01
00
10
00
00
10
10
00
11
00
00
00
10
10
11
00
00
11
01
00
11
00
11
00
00
10
00
00
00
11
00
10
11
10
10
11
11
00
00
10
11
10
00
11
01
00
00
10
11
00
00
00
10
10
00
10
00
00
10
00
10
11
10
10
00
11
01
01
00
11
00
01
01
10
00
10
10
01
01
11
00
00
11
00
10
10
10
00
00
11
10
00
00
00
00
01
10
01
10
11
01
00
01
10
01
10
10
01
00
00
00
00
10
00
11
00
01
10
01
00
11
10
00
00
10
10
00
00
11
10
11
10
00
10
11
10
00
00
00
00
10
10
01
00
00
01
00
10
11
10
00
10
10
11
10
10
00
00
10
01
10
11
11
00
00
11
00
00
10
10
01
11
11
00
00
11
01
01
10
10
00
10
10
00
01
10
10
10
10
10
10
01
01
01
11
10
00
11
10
11
01
00
10
10
01
00
00
11
11
10
11
00
00
10
10
11
00
01
11
10
00
00
11
00
01
11
11
01
00
00
00
00
10
11
01
01
10
00
00
11
11
00
00
00
00
00
11
10
11
10
10
00
10
11
10
01
01
10
10
10
01
11
00
01
11
10
01
11
00
00
11
10
01
00
10
10
00
00
10
10
00
01
10
10
11
11
00
00
00
00
11
11
01
00
10
11
10
11
10
00
00
10
11
10
10
10
10
10
01
00
10
10
00
01
11
10
01
10
10
00
01
00
11
10
00
10
10
00
00
10
10
10
11
11
10
11
00
01
00
00
01
10
00
10
00
00
10
00
11
11
00
00
00
01
11
10
10
01
00
00
00
11
10
11
10
11
00
00
00
00
00
10
11
01
10
10
11
11
10
00
01
00
11
10
01
10
11
10
01
10
10
11
00
00
00
10
11
00
10
10
00
10
10
10
00
00
10
01
10
11
00
11
00
10
10
00
00
10
10
01
00
01
10
10
00
00
10
10
11
10
00
11
10
11
00
01
10
01
00
00
11
10
01
10
01
00
10
01
10
10
10
10
01
01
10
10
11
10
01
10
10
00
00
10
11
00
01
10
00
00
11
00
11
00
10
10
10
00
00
00
10
11
10
00
01
00
00
00
01
11
00
01
10
00
00
10
00
10
00
00
00
01
10
11
10
00
10
00
00
10
00
10
01
11
01
00
10
01
01
00
10
10
00
00
11
10
10
00
01
10
10
01
01
11
10
11
00
01
11
10
01
00
10
10
10
00
01
00
10
10
11
00
00
10
10
00
10
01
00
10
01
01
10
11
00
10
00
00
01
11
00
01
01
00
00
11
10
10
10
00
10
10
00
10
00
01
00
10
10
10
00
10
01
00
10
11
10
11
11
00
10
00
00
10
11
00
01
00
01
10
00
00
10
00
10
01
10
11
11
00
00
10
11
01
00
11
10
00
01
10
10
00
11
10
10
11
01
10
11
00
01
11
10
10
00
01
00
00
11
00
11
10
00
00
10
10
11
10
00
00
10
00
10
10
00
10
10
00
11
01
00
01
01
10
00
10
10
00
10
10
00
10
11
10
01
10
10
00
00
00
10
10
01
01
00
11
10
00
00
01
10
10
00
00
01
10
10
01
00
11
10
00
10
00
00
10
00
01
10
10
00
11
00
01
00
11
00
01
10
11
01
00
10
10
00
00
11
10
10
11
00
00
11
01
10
01
11
11
10
00
01
00
11
10
10
00
10
10
01
10
10
10
00
10
11
10
00
11
11
01
00
00
00
00
10
10
10
00
10
10
00
00
10
01
00
10
11
10
11
10
10
00
01
00
10
10
00
00
11
00
00
00
10
10
00
00
10
01
00
00
00
00
11
11
01
00
10
11
00
00
10
00
10
10
00
10
01
11
10
11
00
01
00
00
10
00
10
10
00
00
10
00
01
11
10
01
00
10
00
10
10
10
00
00
10
10
00
10
00
01
00
11
11
00
10
00
01
11
11
00
00
11
10
00
00
10
10
01
01
10
00
00
00
01
10
01
11
10
00
00
00
00
01
10
11
11
01
00
00
01
00
10
01
10
10
11
00
01
00
00
00
10
10
10
10
10
10
11
00
00
00
01
00
11
10
11
00
00
01
10
11
00
10
10
11
10
00
00
10
11
01
11
10
00
10
01
11
00
10
11
00
00
00
00
01
10
10
11
10
01
11
10
10
01
11
10
10
00
01
00
01
10
10
01
00
11
00
01
11
10
00
10
10
00
10
10
01
00
10
00
10
11
10
01
11
11
10
01
00
00
10
01
01
00
10
00
10
11
01
10
10
10
00
10
10
00
00
00
10
01
01
00
00
10
11
01
10
11
00
00
11
00
10
01
01
10
11
00
10
01
00
10
11
01
00
00
01
11
10
00
10
10
11
11
00
00
10
01
01
11
00
11
00
00
10
01
10
11
11
00
00
01
00
10
00
01
00
01
10
10
11
00
00
10
01
01
01
10
10
10
00
10
01
11
00
00
00
11
11
00
10
11
01
00
01
00
10
10
00
00
00
10
10
11
11
10
01
00
00
10
11
01
00
11
10
01
00
01
10
10
00
01
11
11
10
01
11
00
00
10
10
00
10
00
00
01
10
11
10
00
00
10
10
00
10
10
00
10
10
00
00
11
01
01
00
11
01
00
00
01
10
10
01
01
10
10
10
10
00
00
00
10
00
11
01
00
00
11
00
01
00
10
11
01
10
00
00
10
00
00
01
11
11
00
00
10
10
00
11
00
00
10
01
11
00
00
00
00
10
11
00
10
10
00
10
10
11
11
01
00
10
10
01
10
10
00
00
10
11
10
00
11
00
10
10
11
11
11
10
01
01
11
10
10
10
10
00
10
10
00
10
00
00
00
10
00
00
10
10
01
10
01
00
10
10
00
11
01
01
11
10
00
10
11
01
00
10
10
10
10
00
00
10
10
10
00
01
10
00
00
11
10
00
11
00
11
10
00
00
00
00
11
10
01
11
11
01
10
00
11
00
01
00
10
10
00
11
11
00
01
10
01
10
10
00
00
11
10
10
10
00
00
01
10
01
00
00
10
00
10
11
10
00
10
01
00
00
00
00
00
00
01
10
11
10
11
10
01
00
00
01
01
01
01
10
10
10
10
10
11
00
00
00
01
11
11
10
11
00
00
11
11
11
01
00
00
11
10
00
11
10
00
10
01
01
00
00
10
10
11
00
00
10
10
00
11
10
00
00
10
11
01
10
00
10
10
10
10
10
00
11
10
11
10
01
00
01
10
00
00
00
10
10
11
00
10
10
00
10
10
10
00
00
10
01
10
10
00
00
01
11
10
10
00
10
00
11
10
00
01
10
00
00
11
01
10
10
10
01
00
00
10
00
00
01
00
01
01
11
11
01
01
11
10
00
00
00
00
00
11
10
11
00
01
10
00
10
10
10
10
11
01
11
01
11
01
10
00
01
11
11
11
00
00
11
10
10
00
11
00
10
00
10
01
00
11
10
11
11
11
00
10
01
01
10
00
10
10
00
01
00
01
11
10
00
10
10
10
00
00
10
00
00
01
11
00
00
00
01
00
00
00
00
10
01
11
10
10
00
01
10
10
11
11
11
11
01
00
00
00
10
00
00
00
11
00
10
11
00
00
11
10
11
10
00
10
10
00
01
11
11
10
10
10
11
10
01
10
01
00
01
10
10
01
01
00
10
10
00
00
00
10
11
00
10
10
10
00
00
10
11
00
10
00
10
10
01
10
10
11
00
01
10
10
10
00
00
00
10
10
00
10
01
10
10
00
10
10
01
00
10
11
01
11
10
01
00
11
10
00
11
10
00
00
10
10
00
10
01
10
11
01
11
00
10
10
11
00
00
10
11
00
00
01
00
10
00
01
10
10
11
10
10
11
10
10
00
10
01
11
11
00
01
10
10
10
00
00
10
10
10
10
00
00
10
00
00
00
10
11
10
11
11
11
00
10
00
00
10
10
10
01
01
11
10
00
00
10
01
00
11
11
00
01
00
10
10
10
01
10
10
00
01
10
00
10
00
11
10
00
10
10
01
00
01
00
01
01
00
11
10
10
01
10
10
00
10
10
00
00
01
00
11
01
11
01
11
10
10
10
01
00
11
00
11
00
00
10
01
10
10
00
00
11
10
10
10
10
10
11
10
01
01
10
01
01
00
10
11
00
10
10
11
00
11
10
01
00
10
00
01
01
10
10
00
10
01
10
11
00
10
11
01
00
10
01
00
00
10
10
00
01
11
11
00
10
10
11
10
11
00
00
00
11
10
01
00
10
01
10
00
00
00
10
10
01
01
10
10
11
00
00
00
11
11
01
01
00
10
10
11
10
11
00
01
01
10
11
00
11
10
00
01
10
10
10
00
00
11
01
00
00
11
00
10
00
11
10
01
10
11
00
00
11
00
01
00
01
10
01
01
10
10
00
00
10
00
11
10
11
00
10
10
11
01
10
00
01
10
01
00
10
11
11
11
01
10
10
00
00
11
11
00
00
01
10
01
10
10
00
10
00
00
10
00
01
10
10
01
01
11
00
00
00
10
10
11
01
01
00
00
00
10
11
00
00
10
00
10
10
11
10
10
10
10
10
11
00
10
10
10
00
11
01
01
10
11
11
11
01
01
10
11
00
01
10
01
00
11
10
01
10
10
01
00
01
10
10
10
01
00
01
10
10
00
10
10
10
11
01
10
00
10
01
00
00
10
00
00
10
11
11
10
00
10
00
01
00
11
11
00
11
10
11
00
00
10
01
00
11
00
00
10
10
10
10
10
00
01
11
01
00
01
11
11
00
01
10
11
00
00
00
10
10
01
10
10
00
00
10
10
10
10
01
10
00
11
10
00
10
00
00
11
10
00
10
11
00
10
10
10
10
00
10
00
11
10
11
10
11
00
00
10
00
10
10
01
00
00
10
00
10
10
00
01
00
00
10
01
00
10
00
11
01
00
00
10
11
10
00
00
01
00
11
10
01
01
00
11
10
10
01
00
10
11
00
00
00
00
11
00
10
10
10
11
11
10
01
01
10
00
00
00
10
00
01
01
11
01
10
10
00
10
10
00
00
10
00
00
01
10
11
11
11
01
00
01
01
11
11
11
00
01
01
10
00
00
10
11
10
11
10
00
00
10
10
00
00
10
00
00
01
00
10
10
11
10
10
00
00
11
10
01
11
10
11
10
11
11
01
00
10
11
00
11
10
10
01
10
00
01
10
10
00
00
10
10
00
10
11
10
10
01
10
01
00
01
11
00
00
00
10
10
00
01
01
11
10
00
10
11
00
10
10
00
10
11
01
10
11
00
00
01
00
11
00
00
11
10
10
11
01
00
10
10
00
00
00
10
00
01
10
00
10
11
10
11
11
01
00
00
00
11
11
10
00
00
00
01
10
10
10
10
00
10
10
00
01
00
01
11
01
11
00
01
10
10
10
00
00
10
00
00
10
10
10
00
00
10
00
00
00
10
10
00
11
10
01
00
10
10
11
01
00
11
10
10
10
00
00
10
10
11
00
10
00
00
11
00
10
00
11
00
00
00
11
01
11
11
01
00
00
01
11
01
11
11
01
00
11
10
00
00
11
10
00
00
11
11
00
11
00
00
10
10
01
11
10
00
01
10
00
10
10
00
00
01
00
11
00
01
10
10
10
11
10
00
00
01
00
01
00
11
10
01
10
10
01
01
01
00
00
10
10
10
11
10
01
01
10
01
00
00
10
00
01
10
10
00
10
00
00
10
00
01
10
00
00
10
00
00
10
10
01
00
11
10
11
00
11
01
11
00
00
01
10
00
01
11
10
00
01
10
10
01
01
01
00
10
00
01
00
10
00
10
00
11
10
01
10
01
00
00
00
00
01
10
10
00
01
11
00
10
10
10
11
10
00
00
10
10
11
10
11
10
10
01
10
00
00
00
00
00
01
10
10
00
01
00
11
00
00
10
00
00
10
00
00
10
01
10
10
00
00
11
10
01
10
00
01
10
00
00
00
11
01
11
10
11
00
10
01
00
10
10
01
00
00
10
10
00
01
01
00
10
10
01
10
01
00
00
01
10
01
10
00
01
11
11
11
00
00
00
01
10
11
00
00
10
10
00
11
10
11
00
10
11
00
00
01
10
10
00
10
11
10
11
00
00
11
10
10
11
00
01
10
11
00
11
10
10
10
01
10
10
00
01
00
11
01
01
10
00
01
10
00
00
00
10
00
00
10
10
10
00
00
10
10
00
00
10
11
10
01
01
10
11
10
10
00
00
01
11
10
00
01
01
10
00
10
10
00
01
11
00
10
01
00
10
10
00
01
11
00
01
11
10
01
00
11
01
00
11
10
01
01
01
10
11
00
00
01
01
01
11
00
10
10
00
00
10
11
10
01
10
00
11
11
11
00
00
10
10
01
01
00
11
10
10
10
01
01
10
10
01
01
10
11
01
00
11
10
00
00
00
10
00
00
11
00
01
11
11
00
00
10
11
10
00
01
11
10
10
00
01
10
01
00
00
00
11
10
00
00
11
00
00
11
10
10
00
11
10
10
00
10
00
00
11
11
00
10
10
00
10
00
01
10
11
11
11
11
10
11
00
00
10
00
01
00
01
10
00
00
11
10
10
00
00
00
11
10
00
11
11
01
00
00
01
10
00
11
01
00
11
10
11
00
10
10
10
11
00
10
11
01
10
11
11
00
10
00
10
00
00
11
10
00
11
10
11
10
00
11
10
11
01
01
10
11
11
00
10
00
00
10
10
01
10
10
10
00
00
11
10
01
01
10
10
10
00
01
11
11
10
00
10
01
00
01
00
10
00
10
10
01
10
11
10
00
00
00
00
10
10
01
10
11
00
00
11
00
11
10
10
00
00
01
01
10
10
10
01
00
00
10
00
00
11
10
10
01
00
01
10
01
00
00
00
10
11
11
00
01
10
10
11
10
00
01
10
11
10
11
00
01
00
10
01
00
10
10
10
00
00
00
10
10
00
01
11
00
01
10
10
10
11
10
00
01
11
10
10
00
00
00
01
10
10
11
00
11
10
10
00
00
01
00
10
11
00
01
10
10
10
00
00
10
01
10
01
00
11
10
10
01
10
00
00
10
00
10
00
01
00
10
11
11
10
10
10
00
11
10
00
11
00
11
10
00
10
10
10
00
11
00
01
10
10
11
10
00
01
00
10
00
00
01
01
10
10
10
00
11
00
01
01
11
10
10
01
11
10
01
01
00
00
00
10
10
10
00
01
11
10
10
00
00
10
00
00
00
00
01
00
11
10
10
01
10
00
00
10
10
00
10
01
10
00
00
00
00
00
10
10
11
01
10
10
11
00
00
10
10
00
00
00
10
10
10
10
01
00
01
10
11
00
01
10
10
10
10
01
00
10
10
00
11
11
11
01
10
10
00
10
10
00
10
10
10
01
10
01
10
10
01
10
11
00
00
11
00
11
11
10
01
00
10
10
00
01
00
10
01
00
11
10
00
11
10
11
10
00
00
11
00
00
10
10
00
11
00
00
11
00
00
11
10
10
00
00
10
10
00
00
11
00
01
01
10
00
00
10
00
10
10
01
01
00
10
00
01
00
11
10
11
01
10
11
00
00
11
00
01
11
00
00
00
11
11
00
01
11
00
00
00
10
10
01
10
00
00
10
00
00
10
11
10
11
00
00
00
00
11
10
10
01
10
10
00
11
00
11
11
00
11
00
00
10
10
00
10
00
10
10
00
00
11
00
11
00
01
01
11
00
10
11
01
10
10
11
00
00
10
11
00
11
00
00
11
10
11
01
10
11
00
10
00
11
10
10
10
11
10
10
10
00
00
10
00
10
10
10
10
11
10
01
00
10
10
00
11
01
01
10
00
10
10
10
00
10
10
01
01
01
10
10
01
10
00
00
11
00
00
10
10
00
00
00
00
01
00
10
10
10
11
11
00
01
10
10
10
10
10
10
01
00
01
00
01
01
00
01
10
10
00
00
11
10
00
00
10
01
00
10
10
10
01
11
00
01
00
10
10
11
10
00
00
11
11
10
10
00
00
00
10
11
10
10
00
01
00
00
10
00
00
10
00
10
00
00
11
01
00
00
00
01
00
10
00
11
10
11
01
01
10
00
01
01
00
10
10
01
00
11
10
10
00
11
00
00
01
00
10
11
10
01
01
01
10
10
00
00
00
11
00
10
10
00
10
01
01
00
10
10
10
11
00
10
11
00
10
11
01
01
11
00
00
10
11
00
00
01
10
11
01
00
10
11
00
10
10
00
10
00
00
10
00
01
00
10
00
01
00
00
10
11
01
10
00
11
10
10
00
01
10
11
00
11
00
10
10
00
00
10
10
01
00
10
11
00
11
11
01
00
01
11
00
00
00
10
11
00
01
10
11
00
00
01
10
10
00
01
10
01
01
00
01
00
10
11
00
11
00
00
11
00
00
00
11
11
11
00
10
01
00
10
01
10
10
11
00
10
10
10
00
00
10
00
11
00
01
00
01
10
01
01
11
10
00
01
00
00
10
11
00
01
10
00
10
11
11
10
10
00
00
00
10
10
01
00
11
00
01
00
00
10
10
10
01
00
11
00
10
10
10
11
11
00
01
00
10
11
00
01
10
00
01
10
10
00
00
10
00
00
10
11
10
00
00
00
10
00
01
11
10
10
10
10
00
11
00
00
10
10
00
00
10
01
01
00
10
00
11
00
00
01
11
01
11
11
00
00
11
10
10
10
11
01
00
00
00
00
00
11
10
10
00
00
00
10
10
00
00
00
11
10
10
00
01
01
00
10
10
10
11
01
00
01
10
10
00
01
10
01
10
10
00
00
11
10
10
01
00
01
01
10
10
01
10
10
00
00
00
10
10
01
11
11
10
10
01
11
10
00
00
10
10
01
10
11
10
11
01
00
11
11
00
10
00
00
00
10
10
10
10
00
00
00
10
00
11
10
11
11
10
00
10
00
00
10
10
11
10
00
00
10
11
01
10
00
10
00
11
01
00
10
00
10
10
10
10
01
10
10
00
01
00
10
11
00
00
10
00
10
10
00
10
00
10
11
11
00
00
10
01
10
10
00
10
10
10
11
01
11
11
10
10
00
00
11
10
00
00
01
10
01
00
01
10
10
11
01
10
10
11
10
00
10
00
10
01
00
10
10
10
10
01
11
01
00
01
01
11
10
10
00
11
10
00
00
10
00
01
11
11
11
01
11
11
01
01
00
00
11
10
11
00
00
10
11
00
01
00
11
00
11
00
00
10
11
00
01
10
11
01
00
11
01
10
11
10
00
00
11
11
01
00
10
10
10
00
10
11
01
01
10
01
10
11
00
01
11
00
00
10
11
01
10
10
01
00
10
10
00
01
10
10
10
01
01
10
00
01
10
11
10
10
11
00
00
10
00
00
10
10
00
10
10
00
11
00
01
00
00
10
10
11
01
01
00
01
10
00
00
10
11
00
01
10
01
01
00
10
10
00
10
00
00
10
00
00
10
00
00
00
10
00
00
11
11
10
00
00
11
00
00
11
11
11
10
00
01
00
10
10
11
01
10
10
01
00
01
01
01
11
00
00
10
00
10
10
00
00
00
10
00
00
00
00
11
10
01
00
11
00
01
11
11
11
00
11
00
00
11
00
00
11
00
00
10
10
10
10
00
01
11
10
00
00
00
11
01
01
11
11
00
00
00
00
10
10
10
00
10
01
10
00
00
11
10
11
11
00
00
10
00
10
10
11
10
00
11
10
01
10
11
11
01
00
10
10
10
00
00
00
10
00
10
00
10
01
10
00
01
00
10
10
00
10
00
00
10
10
11
00
00
01
00
00
11
01
01
11
01
11
00
00
11
11
01
00
10
10
11
00
10
11
00
01
01
10
00
10
11
00
10
10
01
01
10
10
01
10
10
00
01
00
10
00
10
01
10
10
11
10
10
00
01
01
00
10
11
10
11
10
00
00
00
10
01
11
10
00
01
10
00
10
10
01
00
10
01
10
10
00
10
00
00
10
10
00
10
00
10
10
10
00
11
01
00
00
00
00
10
10
00
10
00
00
10
10
00
10
11
00
00
01
00
00
00
10
11
00
11
01
10
11
10
10
01
10
10
00
11
11
00
00
10
10
01
00
00
10
00
01
10
00
10
10
11
10
01
11
10
11
01
00
01
01
11
00
00
11
00
10
00
10
10
10
11
01
10
00
11
00
00
00
00
10
01
10
01
01
11
10
00
10
10
01
01
00
10
10
10
01
10
00
00
11
00
11
10
01
01
00
01
11
01
00
10
10
10
00
00
10
10
00
01
11
11
00
00
00
01
00
00
10
11
01
01
00
00
10
00
10
10
01
00
11
00
00
10
11
01
10
11
00
10
11
00
00
01
00
11
00
00
10
01
01
01
00
10
10
00
00
11
10
01
00
01
00
01
11
01
11
10
10
01
00
00
01
00
10
01
10
00
11
00
10
01
01
10
10
01
01
00
11
10
11
00
10
10
00
11
10
00
00
00
00
01
11
10
01
10
00
10
00
00
11
10
00
10
10
10
11
00
10
11
11
00
00
11
01
11
10
11
01
00
10
10
00
11
10
00
11
00
01
10
01
00
11
11
11
10
00
00
10
00
00
00
10
10
10
10
00
00
11
10
10
10
11
00
00
10
11
00
00
10
01
10
10
10
00
11
01
11
10
10
10
10
01
00
00
10
10
00
11
01
01
00
10
10
01
00
01
11
10
00
10
00
11
01
01
00
10
10
11
10
11
10
00
00
11
00
01
10
10
10
00
01
11
10
00
10
10
10
10
11
01
00
10
10
11
00
10
00
10
00
10
10
01
11
11
00
11
10
10
00
00
01
01
10
10
10
10
01
10
00
00
00
11
11
01
11
10
00
10
00
11
00
00
00
10
11
11
10
11
10
01
11
00
10
10
00
01
00
10
10
00
11
00
01
00
10
10
00
01
11
00
00
10
01
00
11
10
00
11
10
10
10
11
00
01
10
11
01
00
00
11
10
01
01
10
10
01
01
10
00
00
10
01
00
00
10
01
01
11
10
11
00
01
10
00
10
10
00
11
11
00
00
00
10
10
01
01
00
00
10
10
00
01
00
11
00
11
01
00
10
01
10
10
11
01
10
11
00
00
10
10
00
10
00
00
00
10
10
00
00
11
11
00
00
00
10
00
10
10
10
01
11
10
00
01
10
11
00
10
11
00
00
01
00
00
01
00
11
00
00
10
10
00
00
11
10
01
01
01
00
11
11
10
00
01
01
10
11
00
00
00
10
10
10
00
01
10
11
10
10
00
00
11
00
00
10
10
10
01
00
00
11
00
00
10
00
10
11
11
00
10
10
11
11
00
00
10
10
00
01
00
11
10
10
00
10
11
00
10
00
10
10
00
10
00
11
11
01
10
10
00
11
00
10
10
00
11
00
00
10
00
10
10
10
00
01
01
10
11
01
01
00
01
01
11
00
00
01
01
01
10
10
00
00
00
00
00
11
00
10
00
10
10
10
10
00
00
11
10
00
10
10
01
00
11
10
11
00
10
00
00
10
10
01
01
00
10
01
00
01
10
11
01
10
00
01
10
00
00
11
10
00
10
10
10
10
11
10
00
01
01
11
11
00
10
11
00
00
00
10
10
00
10
01
11
10
01
10
01
10
10
00
10
01
01
10
10
11
11
10
00
01
10
10
00
10
01
10
10
00
10
00
10
10
10
10
00
01
10
10
00
11
10
10
01
00
11
11
01
00
10
01
10
00
00
01
10
11
10
10
10
10
11
00
11
00
10
11
10
10
11
10
01
10
11
00
00
10
00
11
10
10
00
01
11
11
00
01
11
10
10
10
00
00
01
10
11
00
00
10
11
11
10
00
00
10
00
11
10
01
10
11
01
00
10
10
10
00
11
01
00
10
11
01
10
00
01
11
11
00
10
10
01
11
11
00
00
00
00
11
11
10
00
11
10
10
01
10
00
11
11
00
01
01
10
10
00
10
01
00
10
00
10
10
11
11
00
01
10
10
00
10
00
00
10
11
00
11
00
10
00
00
00
00
01
10
11
01
00
11
11
01
00
10
11
10
10
01
00
11
00
00
11
00
11
10
01
01
10
10
00
00
10
00
10
10
10
00
10
11
00
11
01
10
01
00
10
01
10
10
00
00
10
10
00
01
11
00
11
00
11
10
01
10
11
00
00
00
10
11
10
00
01
00
01
10
00
10
00
00
11
10
00
00
10
10
00
10
10
00
11
10
01
10
00
00
01
00
10
00
00
01
11
10
10
00
00
00
00
00
10
10
10
11
01
00
00
10
00
01
10
00
01
10
00
00
00
11
00
01
11
01
00
10
11
01
00
10
01
01
10
01
00
10
11
10
10
00
01
11
01
11
10
11
01
11
10
00
00
11
10
00
00
10
00
11
11
00
10
00
00
10
00
11
11
00
11
10
11
01
00
01
00
00
10
10
10
00
00
00
00
11
10
10
10
00
00
11
01
10
01
11
01
10
00
01
10
00
00
10
10
10
00
00
01
00
00
10
10
10
00
00
10
10
00
10
10
10
01
10
00
10
10
11
01
10
10
00
10
00
10
10
01
00
01
10
10
01
00
10
00
10
10
10
11
10
00
10
00
00
10
10
00
11
10
00
00
10
01
11
01
11
11
10
10
00
01
10
10
01
10
10
00
01
11
00
01
10
00
00
10
10
00
10
11
00
10
01
01
10
11
10
01
01
00
10
11
10
10
00
00
01
10
01
00
11
01
10
00
11
00
01
01
11
10
10
01
11
11
00
00
10
10
10
11
01
10
10
00
10
10
00
00
10
10
01
00
00
10
10
00
01
01
11
01
00
01
10
11
00
11
10
01
11
00
00
00
00
10
01
00
00
01
10
10
11
00
00
10
00
10
11
00
10
10
00
01
10
11
01
00
00
00
10
00
01
11
00
11
10
10
11
11
00
00
10
10
01
01
11
10
10
00
00
00
00
10
10
00
10
00
01
00
11
10
10
00
10
11
10
10
01
10
10
11
01
01
00
01
11
00
00
10
00
00
10
10
10
00
00
10
01
10
00
10
00
00
11
11
11
11
00
00
10
01
00
00
10
01
00
00
10
10
00
10
10
01
10
01
10
10
11
00
01
10
01
11
01
01
10
00
00
10
01
10
11
00
01
10
00
00
10
11
01
11
10
10
11
01
01
10
10
01
10
10
00
10
00
01
10
11
10
01
10
10
01
00
10
10
01
01
01
10
10
11
10
11
00
11
10
10
10
00
00
10
00
00
00
01
01
00
00
01
01
10
00
00
10
11
10
10
00
10
10
00
10
10
00
11
00
01
00
00
10
00
00
01
00
11
00
10
00
00
11
10
00
11
00
10
11
01
00
01
00
10
00
00
10
00
01
10
00
00
00
10
10
00
10
10
01
00
00
00
10
10
00
00
10
00
01
11
00
10
00
00
01
11
10
01
10
10
00
10
10
10
10
01
01
10
10
11
10
10
00
11
10
11
00
01
00
11
00
00
10
11
01
10
00
01
00
00
00
00
10
10
00
11
11
00
11
01
00
00
10
01
11
00
00
10
11
01
01
11
10
10
10
00
10
10
01
01
01
11
00
10
00
10
00
10
10
10
11
10
01
11
10
10
01
00
00
01
10
11
00
10
01
10
00
00
11
10
11
11
00
00
10
01
00
01
10
00
10
00
01
10
01
00
10
10
01
10
00
01
10
00
10
11
00
01
00
00
10
10
00
11
11
10
10
10
00
10
11
10
01
11
10
11
10
00
01
10
01
01
00
11
11
00
11
10
10
11
10
00
01
11
00
00
00
01
00
01
11
10
10
11
00
00
10
10
01
00
10
10
00
00
00
10
10
00
00
10
00
10
00
10
11
00
10
10
00
00
11
00
00
10
11
10
00
10
01
00
10
00
10
10
00
10
10
10
00
00
00
11
01
10
00
01
10
00
01
00
11
10
10
01
00
10
11
11
01
01
00
10
00
10
01
01
10
10
00
01
10
10
01
00
00
00
00
10
10
00
01
10
01
10
11
01
00
00
10
01
11
10
00
11
00
00
10
10
01
00
10
00
01
00
10
00
11
10
11
10
00
10
01
00
01
00
11
10
00
00
10
10
00
00
11
10
01
10
11
11
01
00
00
00
10
00
00
01
10
11
01
00
11
00
11
01
10
11
01
00
10
10
01
10
11
00
11
11
11
11
11
11
00
01
01
10
10
10
00
00
10
00
00
11
10
00
11
00
00
00
00
11
10
11
00
10
10
11
01
01
11
10
10
00
00
11
10
01
00
11
00
00
00
11
11
00
10
10
10
10
00
00
10
00
01
10
11
11
11
01
01
10
01
10
10
00
00
10
10
00
00
00
00
11
10
10
10
00
11
10
00
00
10
11
00
00
10
00
00
00
11
10
00
10
10
11
01
00
00
10
01
00
10
10
00
00
10
11
10
10
10
11
00
11
10
00
00
11
11
01
00
10
00
00
10
01
00
11
10
10
01
10
11
11
00
00
10
10
11
01
10
01
10
10
11
00
00
10
10
01
10
10
00
11
00
10
11
11
01
01
11
00
10
10
10
11
00
00
00
00
00
11
10
01
00
10
10
11
11
10
01
01
00
10
00
01
01
00
11
00
10
10
01
01
11
10
01
11
00
11
11
11
00
00
10
10
10
00
10
11
01
10
01
00
10
10
00
00
10
10
00
01
00
00
10
10
00
11
01
01
10
10
00
10
01
01
10
10
10
00
11
00
00
01
10
00
00
11
10
00
00
01
10
00
00
00
00
00
00
11
00
00
00
11
10
01
00
00
10
10
00
01
01
11
11
11
00
00
00
10
11
01
00
00
10
10
10
00
10
11
11
11
01
00
10
10
00
00
10
10
10
10
10
00
00
00
00
00
11
01
11
00
10
00
01
01
10
00
01
10
10
11
10
11
01
00
01
00
10
10
10
10
00
10
10
01
11
00
00
00
11
00
10
10
00
01
00
01
11
00
00
10
00
01
00
10
10
01
00
10
10
01
01
01
11
11
10
00
10
10
10
00
01
11
01
11
10
00
11
10
10
10
00
10
00
01
10
00
00
10
01
10
00
00
11
00
00
11
10
10
10
10
00
11
10
01
01
11
10
01
00
11
11
00
00
10
01
00
00
10
01
10
00
00
00
10
01
10
10
00
01
11
10
01
00
01
11
10
10
11
10
00
10
10
01
10
01
11
10
01
00
00
11
01
01
00
10
10
00
00
00
10
11
10
01
00
01
00
10
10
10
11
10
00
00
00
00
10
10
10
10
00
01
10
11
01
00
01
01
00
10
11
11
11
00
01
00
00
00
10
11
00
00
11
00
11
11
00
10
10
10
10
10
01
01
11
11
10
10
10
00
00
01
10
10
01
00
10
10
10
01
11
10
01
00
11
00
11
10
00
10
10
01
01
10
10
10
10
01
10
00
00
11
00
11
10
00
10
01
11
10
00
10
00
00
01
00
10
01
10
11
10
00
00
11
10
01
10
10
00
01
10
10
01
11
01
11
00
00
01
00
00
11
00
00
10
10
10
11
10
00
11
00
10
10
01
11
10
11
00
10
01
00
11
10
00
00
01
10
00
11
10
10
11
00
00
10
10
00
10
10
00
11
00
11
00
00
10
00
00
10
00
00
10
10
01
10
10
10
01
11
00
00
00
00
10
10
00
10
00
10
10
10
11
00
10
10
00
10
10
00
10
00
01
11
10
10
11
10
00
10
10
10
00
11
10
01
01
00
11
10
11
00
00
00
10
11
10
10
00
00
11
10
00
01
11
11
00
11
10
01
00
10
10
10
01
00
01
10
00
11
00
01
01
10
01
01
01
11
00
00
01
00
10
10
10
00
00
00
01
11
00
00
10
00
10
10
00
00
10
10
11
01
11
10
10
01
10
11
10
00
00
10
10
00
00
00
10
10
11
01
10
00
00
10
00
00
01
10
10
11
10
10
00
11
10
01
10
10
11
00
00
10
00
00
11
00
00
00
11
00
11
00
01
10
00
10
10
11
01
00
11
10
10
00
01
00
00
11
11
10
11
00
01
11
11
11
11
01
11
11
00
00
10
10
01
00
11
00
10
01
11
00
00
01
01
10
11
01
10
10
01
10
10
11
10
11
10
00
00
10
10
11
10
00
00
01
01
01
11
01
10
11
01
10
10
10
01
01
10
10
11
00
00
10
00
00
01
10
11
10
00
00
00
11
01
11
10
00
11
10
01
00
10
00
11
00
00
00
10
10
11
10
00
10
01
10
11
00
10
11
10
11
00
10
00
00
00
00
10
01
10
10
10
10
00
10
00
01
01
11
00
11
01
00
00
00
10
10
10
00
00
00
00
10
00
00
00
10
00
11
01
00
00
10
11
10
10
10
01
11
10
00
11
01
00
10
00
00
10
10
00
10
00
10
10
00
10
00
00
11
00
11
11
00
00
10
10
00
01
10
10
01
00
01
00
10
11
01
00
11
11
10
00
01
10
00
00
11
10
11
01
11
00
10
00
01
00
11
10
11
11
01
10
00
00
10
00
00
10
11
01
10
10
10
11
10
10
00
10
10
00
01
10
10
01
01
01
01
10
10
11
00
01
00
10
10
01
00
10
10
01
10
11
00
01
11
10
10
10
00
00
00
00
10
10
01
11
00
11
01
11
11
01
00
10
10
00
10
10
00
01
10
11
00
00
01
11
11
00
10
10
00
01
10
01
01
10
00
00
10
10
00
01
10
10
00
00
10
10
00
00
10
10
10
11
11
00
00
00
00
01
10
11
01
00
10
00
01
01
00
10
11
11
00
00
00
01
00
11
00
11
00
00
00
10
00
00
11
00
00
10
01
10
00
00
10
01
10
10
10
11
00
11
11
11
10
00
00
11
10
11
01
00
00
10
10
00
11
10
11
00
01
11
11
11
11
10
10
01
11
10
00
10
10
00
01
11
01
00
10
10
11
10
01
00
11
10
01
00
11
00
00
00
10
00
00
10
00
00
10
11
10
11
10
11
00
11
00
00
10
10
00
10
10
01
00
00
11
00
11
00
00
00
00
10
00
00
11
00
00
00
01
10
00
10
10
11
00
01
10
10
00
11
01
11
00
01
11
01
10
11
00
10
10
00
00
01
11
10
10
10
00
00
00
10
00
01
00
01
00
10
10
01
10
10
01
00
10
00
11
00
10
00
01
00
10
10
01
00
11
11
10
10
01
10
00
01
10
10
01
01
01
00
00
10
01
10
00
00
10
10
10
00
11
11
00
01
00
00
01
10
01
01
10
10
10
11
10
10
01
01
10
11
00
10
00
10
01
00
11
11
00
00
00
10
10
11
00
01
10
11
00
00
00
10
10
01
00
10
10
00
10
01
00
10
01
11
10
10
10
00
10
11
00
11
10
00
00
00
00
11
10
00
10
01
10
11
01
10
00
11
10
00
11
11
10
10
00
01
10
11
10
11
10
00
00
11
00
00
10
10
00
00
01
00
01
00
00
10
00
10
00
01
01
11
10
10
01
10
11
11
00
00
10
10
00
10
11
11
00
00
01
00
10
10
10
01
11
01
10
10
00
01
01
11
10
01
00
01
11
11
11
00
00
10
00
11
11
00
00
10
00
10
01
11
00
10
00
00
11
00
11
00
00
00
00
10
10
10
00
00
11
11
00
10
11
11
10
00
01
00
10
10
11
01
10
10
11
00
00
10
10
11
10
10
00
00
10
01
01
11
11
00
10
00
10
00
00
11
10
10
00
10
11
00
01
01
10
11
00
00
10
11
00
00
00
01
01
10
10
00
11
11
01
11
11
00
10
10
00
00
11
10
00
00
00
11
00
11
10
00
01
01
00
10
00
00
00
01
11
10
00
10
10
10
00
00
11
01
10
10
10
10
00
10
10
10
00
00
00
11
00
11
00
00
01
00
10
10
00
01
10
01
10
10
01
10
00
11
11
00
00
10
10
01
00
10
00
00
01
11
10
00
10
10
01
11
10
01
10
00
10
10
10
01
10
10
11
01
01
10
10
10
00
10
11
10
00
10
10
10
01
11
11
10
00
00
00
00
11
10
00
00
01
11
01
00
10
11
01
00
01
10
10
01
00
11
00
00
01
01
10
00
00
10
11
10
10
10
11
00
01
10
10
01
10
10
00
00
11
10
00
11
10
00
10
10
00
00
11
00
01
10
11
10
01
10
01
00
11
10
00
00
10
01
11
10
01
00
11
00
10
10
01
10
10
00
00
00
00
00
00
00
00
10
00
01
10
10
00
00
00
01
11
00
00
00
01
00
11
10
10
00
01
01
00
00
00
00
10
01
10
10
00
00
11
10
11
01
10
10
00
01
10
11
10
01
10
11
00
00
00
10
10
11
00
10
10
01
00
00
00
11
11
01
00
10
11
10
11
00
00
11
00
10
01
00
10
10
10
00
00
00
10
10
01
00
10
00
10
11
01
10
00
00
11
00
00
00
10
11
11
00
01
01
10
00
00
10
10
00
11
10
00
01
00
00
10
10
11
10
10
01
01
00
11
10
00
01
10
10
11
01
10
01
00
01
10
10
00
00
11
11
00
00
10
10
11
10
01
01
10
10
01
10
10
00
00
11
01
01
00
11
00
11
11
00
01
10
00
00
11
10
00
00
11
00
10
00
10
11
01
11
11
10
00
11
00
11
10
00
00
11
10
11
01
10
10
00
01
11
10
01
00
01
00
01
10
01
00
00
00
11
11
00
11
11
10
01
00
11
01
01
10
11
10
00
00
10
01
00
10
10
10
01
00
10
10
10
11
10
10
11
01
01
00
10
00
01
10
00
11
10
00
00
00
00
10
01
01
11
00
11
10
00
10
10
00
00
11
11
11
00
01
11
10
00
10
11
10
01
01
01
10
10
01
10
00
00
01
00
11
00
11
00
00
11
10
01
10
00
01
10
11
10
10
10
00
00
00
00
10
00
10
10
11
00
11
11
01
10
10
00
00
10
11
10
11
01
11
10
00
00
01
11
11
10
00
00
00
01
11
11
10
01
11
00
00
00
10
11
01
01
10
11
11
01
01
00
00
00
00
10
01
01
11
00
11
00
11
10
00
11
10
11
11
00
00
00
00
10
01
10
10
01
01
01
01
10
00
10
10
00
00
11
11
11
10
10
11
00
00
11
10
00
11
10
10
01
00
01
00
11
10
01
10
00
01
11
11
01
00
01
10
00
00
11
01
00
00
10
11
10
10
00
11
10
00
10
10
00
00
00
00
10
10
00
10
11
10
00
00
00
01
10
10
01
00
10
01
10
00
00
00
00
00
00
11
00
00
00
00
01
00
00
10
01
10
00
10
11
00
10
00
00
00
01
10
00
10
00
10
11
00
10
11
00
00
01
10
10
00
01
11
10
11
00
00
10
10
01
00
10
10
11
11
00
00
10
11
00
01
11
10
00
00
00
10
11
00
00
11
11
00
10
10
00
11
00
00
10
10
00
10
01
10
00
00
10
01
01
11
11
01
00
10
00
00
00
10
10
11
10
10
01
00
10
10
01
00
10
01
00
00
10
11
11
01
00
00
10
10
10
11
10
10
00
00
10
10
01
00
10
11
00
00
10
11
01
11
11
11
00
00
01
10
00
10
10
01
10
00
11
10
00
00
00
10
11
10
01
10
10
01
10
10
00
01
10
00
00
11
00
00
01
00
10
10
01
10
01
10
01
01
00
01
10
10
00
00
00
00
10
10
10
11
11
00
00
10
10
00
10
00
00
00
10
01
00
00
00
11
10
01
11
10
11
00
00
10
01
01
00
10
11
00
00
00
10
11
10
00
10
10
00
10
00
01
10
00
10
10
00
11
10
10
00
00
01
01
11
10
00
01
10
10
01
10
10
10
00
00
11
00
10
01
01
01
00
10
00
10
11
10
10
01
10
10
00
11
11
01
00
11
10
10
10
00
10
11
11
00
00
00
01
10
10
10
10
00
00
01
00
11
01
11
10
10
00
10
01
01
10
10
10
01
10
10
10
00
00
10
00
00
00
10
01
00
11
00
11
10
01
10
11
00
01
00
00
00
10
11
00
01
10
10
10
00
11
01
00
10
10
01
00
00
01
10
11
00
01
00
10
10
10
00
10
11
00
01
00
10
10
11
00
10
00
00
11
01
01
10
01
00
10
11
10
10
00
00
10
10
01
00
00
10
00
11
01
00
11
00
10
10
00
10
00
00
10
00
11
11
00
11
10
10
00
10
10
01
00
01
11
10
11
10
00
00
10
10
00
10
10
10
00
00
00
00
10
01
00
00
11
10
00
00
00
10
00
00
10
11
00
11
10
00
00
01
00
01
10
10
10
01
00
10
10
01
01
11
11
11
10
00
11
11
00
00
10
10
01
00
00
10
00
10
11
00
10
10
00
00
00
01
01
10
11
11
10
00
01
10
00
00
10
00
00
01
00
10
10
00
00
10
00
11
00
10
00
10
11
00
10
01
00
01
11
10
10
10
10
10
00
00
00
00
00
10
10
01
01
00
01
11
10
11
10
00
11
00
00
10
10
00
10
00
00
11
00
01
01
00
10
00
10
00
00
11
10
01
00
00
01
00
10
10
01
01
01
00
10
10
10
11
00
00
10
10
11
11
10
00
10
01
00
00
10
10
00
01
01
11
11
11
01
10
10
00
00
10
00
10
10
10
11
11
11
00
10
00
11
00
11
10
00
01
00
11
11
00
00
11
01
00
10
10
10
10
01
10
00
01
00
10
10
11
00
00
10
00
10
10
10
00
11
10
10
10
01
00
00
01
00
11
00
10
11
10
10
01
00
10
01
00
00
00
11
10
10
01
10
11
00
00
10
10
00
01
10
01
00
00
10
10
00
00
10
10
11
11
01
11
00
00
10
00
00
00
00
11
10
10
00
10
01
00
00
10
10
00
00
10
00
10
10
00
01
00
10
01
00
11
00
10
00
00
11
10
11
01
00
01
00
11
10
10
00
00
10
00
00
11
11
01
10
11
11
00
00
01
10
10
00
00
11
10
01
10
00
00
11
00
01
10
11
10
00
00
10
10
10
00
00
00
10
10
11
10
00
00
00
00
00
00
01
00
10
00
00
00
10
10
11
10
11
00
10
11
11
11
10
00
00
00
10
11
00
00
11
10
10
01
00
10
01
01
10
11
00
10
01
00
11
10
00
01
11
00
11
00
01
00
01
00
00
01
11
00
10
10
01
01
11
11
10
00
10
00
00
00
00
10
01
11
00
00
00
00
11
00
11
10
00
01
00
00
10
00
00
11
01
00
00
11
00
10
11
01
00
10
10
00
00
00
10
10
00
01
11
10
10
10
01
10
00
00
00
00
10
00
00
01
01
10
01
00
11
11
10
10
00
01
00
10
10
00
00
00
00
11
10
01
01
10
01
10
10
00
00
10
00
01
01
11
01
01
11
11
00
00
10
10
00
01
10
11
00
11
01
10
10
11
00
01
10
00
00
01
11
10
01
00
01
01
11
00
10
10
00
00
10
11
00
00
10
11
10
00
10
10
00
11
00
00
10
00
00
11
10
11
10
00
11
01
01
00
11
11
10
01
01
11
10
01
00
00
10
11
00
01
10
10
01
01
00
11
11
01
11
00
10
10
01
01
00
11
11
11
10
01
01
01
00
11
00
10
10
00
01
10
01
00
01
11
10
01
01
10
10
00
00
00
11
10
10
01
00
10
10
10
11
10
11
00
01
01
01
01
10
00
01
00
11
10
01
00
01
10
10
10
11
10
00
10
10
01
00
10
00
11
00
01
01
11
00
01
01
00
00
11
10
01
10
10
00
10
00
11
10
00
00
10
10
11
00
00
11
10
00
10
11
11
10
10
11
00
10
01
11
10
01
00
01
11
01
10
10
11
00
11
10
01
00
10
00
00
10
00
10
00
10
10
00
01
11
10
01
00
01
11
10
10
01
10
10
10
10
00
01
10
11
00
01
00
01
11
11
00
00
10
10
01
00
10
11
10
01
00
11
00
10
01
00
10
10
10
10
01
01
00
10
00
01
11
11
10
10
11
00
10
00
00
10
11
01
01
10
00
00
10
00
00
11
11
10
11
00
11
10
10
00
00
00
10
11
01
01
10
00
00
00
00
00
10
10
00
00
01
00
11
10
00
10
10
01
00
10
10
00
01
11
00
10
10
00
00
01
10
11
10
10
00
00
10
00
11
10
11
00
10
00
00
00
11
11
00
01
11
10
10
00
00
00
00
01
00
01
01
00
10
10
10
10
10
01
10
11
00
10
00
10
11
00
10
10
01
01
10
00
00
01
10
10
00
11
11
10
11
11
01
10
01
01
11
00
00
00
00
11
10
10
01
11
10
10
01
00
00
10
00
01
10
10
11
11
10
10
00
11
10
01
00
11
10
10
00
00
11
10
00
10
00
10
00
11
10
01
11
01
00
00
01
10
10
00
00
10
00
00
10
10
11
10
10
00
00
00
11
01
00
10
11
00
00
00
01
11
11
01
11
10
01
00
10
10
10
00
00
10
10
00
00
00
11
11
01
10
01
11
01
10
10
00
00
00
10
10
00
10
01
11
00
01
10
10
10
00
00
11
10
01
00
00
01
10
00
00
11
11
10
00
10
00
00
10
01
10
10
11
10
01
10
10
00
00
01
11
10
11
00
10
01
00
10
11
01
00
11
00
10
10
00
00
00
10
10
01
00
10
10
00
10
00
01
00
10
11
11
10
10
10
10
00
00
00
11
10
00
00
11
01
00
10
00
10
01
00
10
00
00
10
01
10
00
00
11
10
10
01
10
01
00
00
00
00
00
10
10
01
01
10
10
11
10
10
11
00
10
00
00
10
01
00
00
10
01
10
11
00
10
00
11
00
11
10
00
10
11
01
01
11
00
10
10
11
10
00
00
10
00
00
10
10
10
10
00
00
11
10
11
00
01
11
00
00
10
10
10
10
00
00
00
00
11
10
00
10
10
11
00
00
10
01
00
00
11
01
00
00
00
10
00
01
10
00
00
10
11
10
00
01
01
11
01
01
10
00
10
01
01
11
10
00
00
10
10
10
10
11
00
11
10
10
00
01
10
10
01
01
11
00
10
10
01
01
10
11
00
10
11
11
11
01
01
10
10
00
01
11
10
10
00
10
00
00
00
00
10
01
10
11
10
11
01
00
00
00
10
10
10
01
00
10
00
00
11
10
11
10
00
01
00
10
01
00
10
11
01
00
01
00
00
11
01
00
01
11
11
11
10
11
10
10
01
10
10
00
10
00
01
10
11
10
10
00
11
00
11
10
01
11
11
11
01
01
11
01
00
10
10
01
01
01
00
10
01
10
01
00
11
10
00
01
01
10
10
00
00
10
00
00
00
00
10
10
11
10
00
10
10
01
10
00
10
10
00
01
10
10
01
11
00
11
00
00
10
01
10
10
00
01
10
10
00
00
00
10
10
00
01
11
10
10
00
10
01
10
10
10
10
00
00
11
10
00
00
11
00
01
10
10
11
00
11
10
01
01
00
00
01
01
10
00
00
10
01
10
10
00
10
11
10
10
00
10
00
10
10
01
00
00
00
10
11
10
11
10
10
00
11
00
01
10
10
01
00
10
10
00
01
11
10
11
01
00
11
01
00
01
10
10
00
10
10
11
00
00
00
10
11
00
01
10
00
10
10
00
00
10
11
10
10
00
10
10
00
01
10
10
00
00
10
10
11
01
10
11
01
11
11
01
00
10
00
01
00
11
10
01
00
10
11
00
11
11
00
00
00
00
01
10
10
10
11
00
00
10
10
00
00
10
10
00
00
00
10
10
00
01
10
00
11
01
10
10
11
11
10
10
10
10
00
10
01
00
00
00
11
10
01
00
11
11
00
00
11
11
01
10
00
01
01
10
10
00
00
10
11
01
00
00
00
01
11
11
10
00
10
00
00
10
00
00
10
11
10
01
00
00
01
01
00
11
10
00
10
11
10
00
10
10
00
00
00
10
00
10
01
10
01
10
01
00
10
10
00
00
10
10
00
10
10
01
11
01
10
11
00
00
00
00
10
11
01
01
01
10
00
10
01
10
10
11
01
11
10
00
00
10
10
10
01
00
00
10
00
00
11
00
10
10
10
11
10
10
10
00
00
10
00
10
10
10
01
00
00
00
11
10
11
10
01
00
10
10
01
00
10
10
11
10
10
01
01
01
10
00
10
11
00
01
10
10
11
00
11
11
00
10
10
00
00
10
00
01
00
00
01
00
10
00
11
11
11
11
01
01
00
01
00
11
11
10
10
11
00
00
00
10
11
01
00
10
10
00
00
00
10
01
01
01
10
00
11
11
11
00
00
10
11
10
10
10
00
10
01
10
00
00
00
01
00
01
10
00
10
01
01
10
11
11
00
11
10
01
10
01
01
00
11
10
10
10
00
01
11
00
00
00
10
11
10
11
11
01
01
00
11
10
10
00
11
10
01
00
10
00
10
10
01
10
00
11
00
10
01
11
01
11
10
00
10
10
00
11
11
10
10
01
00
10
00
10
10
10
10
01
11
00
01
10
00
00
10
10
10
11
01
00
00
11
10
00
00
10
10
01
01
10
10
01
00
10
00
10
01
11
10
00
00
00
00
10
10
11
10
00
11
00
10
10
01
00
01
00
11
01
11
11
11
00
00
01
11
10
00
10
10
10
00
10
01
10
01
11
00
00
00
10
10
00
11
01
00
10
11
11
11
10
10
00
01
00
00
00
10
00
10
01
10
00
10
11
01
10
10
00
11
10
01
00
10
10
00
10
01
00
10
01
10
11
00
00
01
10
10
01
10
00
01
10
00
01
10
10
10
00
00
10
10
10
00
10
10
01
10
10
00
00
00
10
11
10
00
00
00
10
11
00
10
10
00
10
00
10
10
10
11
10
11
11
10
00
01
00
00
11
11
00
00
10
01
00
10
10
01
01
10
01
10
00
10
00
10
01
10
10
10
01
00
11
10
10
10
01
11
00
00
11
01
10
10
00
00
11
00
10
01
10
10
10
11
10
01
00
00
00
10
10
00
11
10
00
10
00
11
11
11
10
11
00
00
11
11
11
10
00
00
00
00
10
00
01
11
10
00
10
10
01
10
10
10
00
10
01
10
10
00
10
11
00
00
10
00
00
11
10
00
10
10
10
10
00
00
10
00
01
00
01
01
01
10
00
10
10
11
00
10
10
10
00
11
01
00
01
00
10
01
11
11
01
01
10
01
00
01
10
10
10
00
01
00
11
00
10
00
00
11
10
01
01
11
10
00
10
10
11
01
01
10
11
00
01
10
11
10
10
10
01
01
00
00
10
01
11
00
00
00
01
00
01
11
11
10
00
10
01
11
10
10
00
00
11
11
10
01
01
11
00
10
00
11
10
00
11
11
10
10
00
10
00
00
00
10
10
01
01
00
00
01
00
11
10
11
00
11
10
10
01
00
10
11
01
01
00
11
10
11
11
10
00
00
10
10
00
01
10
11
11
11
01
00
00
10
10
00
00
10
10
00
10
01
10
10
10
11
10
01
00
00
00
01
10
00
10
11
01
10
00
10
00
01
00
01
10
10
10
10
00
10
00
00
10
00
10
00
10
00
10
11
10
11
01
00
10
10
10
00
00
00
00
10
10
01
11
10
00
11
10
00
00
01
00
10
00
01
11
11
01
01
10
11
00
11
11
10
01
01
00
11
10
00
00
01
00
01
00
11
10
10
10
01
10
00
10
01
10
11
00
10
10
00
10
00
10
10
00
00
10
10
01
00
10
10
00
00
10
00
11
10
10
11
00
10
10
00
01
10
00
00
10
00
00
01
01
01
10
10
00
10
11
00
10
10
00
10
00
01
00
11
10
11
11
00
00
00
11
11
11
00
01
11
11
10
10
11
11
00
00
01
10
11
10
01
00
10
00
01
01
10
10
00
01
01
10
10
00
10
10
10
01
00
10
10
10
10
11
01
01
00
01
10
10
00
00
10
11
00
00
00
10
10
10
10
11
11
00
10
10
00
00
11
00
00
10
00
10
00
00
10
00
10
10
10
10
00
00
11
00
01
10
00
01
00
01
10
10
00
01
11
00
11
10
00
01
10
00
10
10
01
00
01
01
01
10
10
10
00
10
11
00
00
10
11
10
10
11
01
11
10
10
11
00
00
11
10
00
10
10
01
10
00
00
11
10
01
11
00
10
10
01
10
11
00
00
00
00
10
11
00
10
11
00
10
00
00
01
10
11
11
10
01
10
11
00
00
10
10
11
10
00
00
00
01
00
00
10
11
11
01
00
11
10
00
11
10
00
11
11
00
00
10
00
11
10
01
00
00
11
00
00
01
10
10
11
10
00
00
11
10
01
10
10
00
00
00
00
10
10
00
10
10
01
00
00
00
10
10
00
00
01
11
10
10
00
00
01
10
00
00
10
00
01
00
11
10
00
01
11
11
01
01
00
11
00
00
10
10
00
10
01
00
00
11
00
00
01
10
00
11
10
10
10
10
00
00
10
10
10
01
10
10
01
10
11
10
00
01
01
00
01
00
10
00
11
11
11
00
00
00
00
10
10
00
01
00
11
00
10
11
00
00
11
10
10
00
01
10
11
10
11
00
10
01
10
11
00
01
11
10
01
00
11
11
01
11
10
11
00
00
11
01
11
11
10
00
10
10
00
00
10
11
01
00
01
00
10
10
00
10
10
00
00
01
00
01
11
01
10
10
00
00
00
10
10
00
00
00
10
11
00
10
01
11
01
10
10
00
10
00
00
00
10
00
10
10
11
01
00
10
10
01
00
10
11
01
00
10
00
10
10
00
10
10
11
00
00
11
10
01
10
00
00
00
11
10
11
00
00
10
11
10
10
00
00
11
00
00
10
10
00
11
00
00
10
11
00
00
00
10
10
01
00
11
10
10
10
10
00
01
11
01
10
10
00
00
10
10
00
01
10
10
00
10
11
11
00
00
10
11
10
10
10
00
10
01
10
11
11
10
00
11
00
11
00
11
10
01
00
00
00
10
10
00
11
00
00
00
10
10
01
01
00
00
00
00
10
01
01
10
00
10
00
11
00
01
00
10
10
00
10
10
10
01
11
11
10
01
01
11
00
00
01
10
11
00
00
11
10
00
00
10
00
10
11
00
00
00
01
10
11
10
01
01
10
11
10
01
01
00
10
01
00
10
11
00
11
10
10
10
00
00
01
00
10
00
00
01
11
10
00
10
00
10
00
00
10
10
00
01
11
00
00
00
11
10
10
10
00
10
11
00
10
10
10
10
00
10
01
10
11
00
00
00
00
11
00
10
11
10
01
01
10
10
10
01
01
11
10
10
01
00
11
01
00
10
10
01
01
11
11
11
10
00
11
00
01
10
10
00
00
11
10
11
00
00
10
00
00
10
10
00
10
10
11
11
01
00
00
10
00
10
01
00
10
11
10
10
00
11
10
00
00
00
00
00
10
10
01
10
10
10
10
00
00
10
01
11
11
10
10
11
11
00
10
01
00
10
10
01
00
11
01
10
11
10
00
10
10
00
01
01
10
00
00
10
01
10
01
01
10
11
00
01
11
11
10
01
01
01
10
10
00
00
00
01
10
10
01
11
11
10
00
00
01
10
00
11
11
00
10
11
01
01
10
10
01
10
10
00
00
11
10
10
11
11
01
00
10
00
10
00
10
11
00
00
10
11
01
10
00
00
10
10
01
11
11
01
01
00
00
10
00
01
10
11
11
00
10
00
11
00
01
00
10
10
00
10
10
11
01
01
00
00
10
01
10
10
10
01
00
00
11
10
10
11
10
00
11
11
00
01
00
00
01
10
00
00
00
11
11
10
11
00
00
11
11
11
11
00
00
00
01
10
10
00
10
11
10
00
00
11
01
10
11
01
11
10
00
00
10
01
10
11
00
00
01
00
00
10
00
00
11
00
00
10
01
11
11
10
01
11
10
00
00
10
10
01
11
00
00
10
00
01
00
10
10
11
00
00
10
10
01
10
11
00
10
10
00
10
11
00
00
00
01
11
11
11
01
11
00
11
11
10
00
00
10
00
01
10
00
10
10
10
00
00
10
11
01
10
11
00
11
00
01
11
10
01
00
11
11
10
00
01
11
10
10
00
01
10
11
10
00
01
01
11
01
11
10
01
10
10
11
00
11
11
01
00
10
10
00
01
10
11
00
11
00
00
00
10
10
01
11
11
11
00
00
00
00
10
00
01
01
00
00
10
01
11
10
01
10
10
10
00
01
10
10
00
00
10
11
10
10
00
11
10
11
10
00
10
11
00
00
10
00
01
11
00
10
10
11
01
11
10
01
10
00
11
01
00
10
10
00
00
01
10
11
00
00
10
01
00
11
00
01
01
11
00
00
01
10
00
00
11
10
01
00
01
00
01
10
00
01
10
00
00
00
11
01
10
10
10
11
10
11
10
10
00
10
10
01
11
01
11
01
10
01
10
10
10
00
01
10
00
01
00
11
11
00
11
10
01
00
00
00
10
11
00
10
10
00
00
11
00
00
10
10
01
10
01
00
00
11
00
10
10
10
00
10
10
01
00
10
01
11
10
00
10
00
10
01
10
00
00
00
10
10
00
01
00
11
00
10
00
00
01
10
01
01
10
10
11
10
00
01
01
01
00
10
11
10
00
10
00
00
10
00
00
11
10
00
11
11
01
00
00
10
10
11
01
10
10
10
01
01
10
00
10
10
01
10
00
00
10
00
00
01
01
10
10
00
00
00
00
00
11
11
11
10
01
00
11
10
00
00
00
10
11
00
10
01
00
00
01
10
10
00
10
11
11
11
00
10
11
10
01
00
00
10
01
10
11
00
10
10
10
00
00
11
10
00
00
11
11
11
00
00
11
10
00
00
10
11
01
00
10
10
11
10
10
00
00
00
10
00
01
10
10
00
10
10
11
10
01
10
11
00
01
10
11
00
00
10
00
10
10
11
10
10
00
01
01
11
10
10
11
01
01
10
11
01
00
00
10
11
00
10
10
01
00
10
11
00
00
10
10
10
01
00
10
00
00
11
10
01
10
00
00
00
11
10
10
00
01
01
10
11
00
10
00
01
00
11
00
01
10
10
10
11
10
11
10
00
10
10
10
00
10
00
10
11
11
10
01
10
10
11
01
00
11
10
11
10
10
01
10
10
01
01
10
10
11
00
01
01
00
10
00
10
00
00
11
01
11
10
01
01
11
00
00
10
11
01
01
11
11
10
01
00
10
11
00
11
10
01
01
00
01
00
11
10
10
01
10
00
11
10
00
00
01
10
01
10
10
01
11
10
00
11
10
10
10
01
11
00
01
11
00
00
10
00
01
01
10
10
00
00
01
00
00
00
01
10
11
00
10
11
00
00
10
01
00
11
01
10
01
10
00
00
11
10
00
01
10
10
00
01
10
00
00
10
10
00
01
10
00
00
00
10
10
11
01
11
10
10
00
01
00
00
00
10
00
00
00
10
10
01
00
00
11
00
10
11
10
00
10
11
01
11
00
10
10
11
10
01
10
10
00
11
00
00
11
10
00
01
10
00
11
00
01
00
00
10
10
11
10
00
00
00
10
00
10
00
10
11
00
00
10
00
01
00
10
01
00
10
01
00
00
10
01
10
10
10
00
00
11
10
00
10
11
10
00
11
10
00
00
01
00
00
01
00
00
00
10
00
11
10
11
10
00
00
10
10
00
01
10
10
01
01
01
10
00
00
00
00
10
00
00
00
11
00
00
10
10
01
00
10
10
11
10
10
00
10
10
00
10
00
10
10
00
11
00
01
00
01
11
11
01
10
10
01
00
11
01
01
10
10
10
10
01
00
10
11
00
11
10
10
11
00
10
11
01
01
01
10
11
00
10
01
10
10
00
00
10
11
00
00
01
10
00
10
00
10
01
10
11
00
00
10
00
10
10
11
00
00
01
10
10
00
11
01
01
11
10
11
10
00
01
10
00
00
00
10
00
11
10
10
10
11
00
00
00
10
00
00
10
00
10
10
00
00
00
11
10
10
11
00
10
10
00
10
11
00
01
00
00
00
10
10
00
10
10
11
00
01
10
00
10
11
01
00
11
11
10
11
10
00
10
00
01
11
01
01
11
10
11
10
01
11
10
00
10
00
00
10
11
00
00
00
11
00
00
11
00
10
10
01
11
01
00
11
00
00
01
10
11
11
10
01
10
10
01
00
11
00
10
11
10
00
01
11
10
00
00
10
01
01
10
00
01
11
01
01
10
00
00
11
00
01
10
10
10
00
11
00
00
10
00
01
00
00
10
01
11
01
00
01
11
00
00
00
10
10
00
00
10
10
11
10
01
01
01
11
10
10
00
00
00
10
00
00
10
10
11
10
10
10
01
11
10
10
11
01
00
10
10
01
00
10
11
10
00
10
00
10
11
00
00
00
10
00
10
10
10
01
11
10
01
11
01
00
10
10
10
00
10
10
00
10
00
01
01
10
01
00
00
01
00
00
00
10
10
00
10
10
10
00
11
00
11
00
11
00
10
11
01
10
00
01
10
00
10
00
11
11
11
10
11
00
00
11
10
10
00
11
00
00
11
01
00
00
10
10
10
11
00
01
01
10
00
01
10
11
01
11
10
10
11
10
10
11
01
00
00
10
10
10
11
00
00
10
10
01
00
10
11
10
01
01
01
11
00
01
10
11
11
00
01
11
00
00
11
10
10
00
01
10
10
00
11
01
10
01
00
10
00
10
10
10
10
01
00
00
00
00
00
10
11
01
00
10
11
00
11
11
10
00
00
10
10
10
00
11
01
11
00
10
10
00
00
10
00
10
10
10
10
00
10
00
01
11
00
00
10
10
00
01
11
11
11
01
01
00
00
10
10
11
11
01
11
00
00
01
10
01
10
11
00
10
10
00
10
00
10
11
10
11
10
00
11
11
10
00
00
10
00
11
00
10
00
00
00
10
11
01
01
11
10
10
00
10
10
01
00
10
00
10
10
01
01
11
00
11
10
00
10
00
00
11
01
10
01
11
01
11
00
01
10
10
00
10
10
00
00
00
10
10
10
01
01
10
10
01
10
00
00
10
10
11
01
11
00
01
10
10
10
01
00
00
11
10
01
01
11
11
10
10
00
00
10
10
00
00
11
10
00
10
11
11
01
10
10
00
10
00
00
00
10
11
01
11
10
11
00
00
10
10
00
01
11
01
10
10
10
01
10
01
00
11
10
10
00
01
10
10
11
00
00
01
00
10
01
11
11
10
10
10
00
00
01
11
00
00
10
10
10
00
00
10
11
10
01
10
01
10
00
11
00
11
10
01
00
10
00
00
00
00
11
00
10
10
10
10
01
00
00
11
00
00
00
00
10
01
00
10
00
11
00
01
10
00
00
00
11
10
00
00
10
00
00
10
11
10
00
01
10
01
00
00
10
00
01
10
10
01
10
10
01
10
10
11
10
11
10
10
10
00
10
11
01
01
01
10
00
00
00
01
00
11
11
10
11
00
11
11
10
01
10
11
11
01
01
00
11
10
00
00
10
10
10
01
10
10
00
10
11
10
10
00
00
11
00
10
00
00
00
10
10
10
10
00
01
00
01
11
10
00
01
01
01
00
11
00
00
01
10
10
00
10
00
01
10
10
00
11
11
01
01
10
01
00
10
00
11
10
00
00
10
00
11
11
11
00
11
10
10
11
00
10
10
10
00
00
10
10
00
10
10
00
00
00
10
10
01
00
10
00
10
11
01
01
10
11
10
10
01
00
00
10
00
00
01
01
11
11
10
01
01
10
00
00
10
11
10
00
01
00
00
01
10
00
00
10
10
01
00
10
00
01
11
00
11
11
00
01
00
00
00
00
10
11
10
01
10
00
00
10
01
00
01
10
10
00
00
01
10
10
00
00
00
10
01
01
01
00
10
01
01
11
00
11
11
00
01
10
00
10
10
01
11
01
10
01
00
10
11
00
01
10
10
00
01
11
00
10
10
11
11
01
00
10
10
01
00
00
11
00
01
00
01
10
10
10
00
10
10
10
00
10
00
10
01
00
10
10
00
10
10
10
11
10
10
10
11
00
01
00
00
00
10
00
11
10
11
11
01
00
10
11
00
00
11
10
01
01
01
11
10
00
10
00
00
10
10
01
00
00
10
00
00
00
11
10
00
11
01
10
10
11
01
00
10
11
10
11
01
01
01
10
01
01
11
10
10
00
01
10
00
10
10
10
00
00
10
01
00
00
00
11
01
00
10
11
00
10
11
00
11
10
10
00
01
00
00
10
10
11
00
10
00
00
10
11
00
10
00
01
00
10
10
01
10
11
00
10
00
10
10
10
00
00
10
11
10
10
00
11
00
11
10
00
00
11
00
10
11
00
11
10
11
00
10
10
00
01
10
00
00
10
10
11
10
01
00
10
10
00
01
11
10
00
01
01
10
10
11
00
01
11
10
10
11
01
01
01
00
10
01
10
10
00
10
11
01
11
00
00
01
01
11
10
00
10
10
01
00
01
10
11
11
10
11
00
01
10
10
00
11
10
01
00
10
00
00
11
10
00
01
01
10
11
11
01
10
10
00
10
10
10
00
01
11
01
10
00
10
01
11
10
00
00
00
01
01
10
00
01
01
00
11
00
10
10
01
00
00
10
10
10
10
11
00
01
10
11
01
10
11
00
10
10
00
11
10
10
01
11
01
01
10
10
00
11
01
01
10
10
00
00
10
00
01
10
00
00
11
00
00
10
11
00
00
00
10
11
00
11
11
00
10
00
11
00
00
01
00
00
10
00
10
10
00
01
11
11
00
01
01
10
00
01
00
10
10
11
00
00
11
00
11
10
00
10
10
00
10
11
10
00
00
01
11
10
01
10
10
10
10
01
10
10
01
00
00
01
00
10
10
00
00
11
11
00
10
10
11
01
10
10
10
00
01
01
01
11
11
01
10
10
00
00
10
10
10
00
10
11
10
11
00
10
11
00
11
10
10
00
11
01
00
00
10
00
00
10
10
01
00
10
00
00
10
01
11
10
01
00
10
10
11
01
10
00
01
00
01
10
10
10
11
01
00
00
01
00
00
10
10
00
01
11
11
11
10
10
10
00
10
00
00
10
10
00
10
00
10
01
00
00
10
00
00
10
00
00
10
10
10
00
01
01
01
01
01
01
00
10
00
00
10
10
00
00
00
11
10
00
01
00
10
10
00
10
00
11
11
10
11
10
10
10
10
00
00
00
11
00
01
00
00
00
10
01
10
10
00
10
11
01
01
11
01
00
01
10
10
00
10
00
00
10
11
00
01
11
00
00
00
01
00
00
11
10
10
10
01
00
11
00
10
00
00
11
11
10
00
11
10
00
00
10
10
11
01
10
00
11
00
00
10
11
10
01
10
00
00
10
10
00
01
10
10
10
10
01
10
00
11
01
01
10
00
11
11
10
00
00
10
10
10
01
10
10
11
11
00
10
11
01
11
10
10
10
00
01
00
11
10
01
11
10
11
00
10
00
10
10
10
10
00
10
00
10
00
10
00
01
10
10
10
01
00
11
11
00
00
10
11
00
00
10
00
10
10
11
00
11
11
00
00
10
00
11
10
00
01
00
11
11
11
11
10
00
10
10
11
10
01
10
10
10
01
11
10
00
10
11
11
00
00
00
10
10
11
01
11
11
10
00
10
10
00
01
10
11
01
10
00
11
10
11
01
11
00
01
11
00
01
11
00
00
01
11
00
01
10
11
00
10
00
01
10
11
11
00
11
11
11
00
00
10
00
11
10
10
00
00
00
11
00
01
00
10
10
10
00
10
11
01
01
10
00
00
10
00
10
10
00
01
10
10
00
11
00
00
00
10
10
01
01
10
10
10
10
00
00
11
11
10
01
00
00
01
01
00
10
00
11
10
00
00
00
10
10
11
11
11
01
01
11
10
11
11
01
00
11
10
01
01
01
11
11
01
01
11
10
10
01
00
10
10
01
10
11
01
10
10
00
10
10
10
01
00
10
00
00
00
00
01
00
10
10
01
00
10
10
00
00
00
10
01
00
00
10
01
00
10
11
10
11
11
00
10
10
00
11
00
00
11
00
00
11
11
00
10
00
00
01
01
10
10
10
01
01
10
11
11
00
10
00
10
11
10
01
10
10
10
00
01
00
10
10
00
00
00
11
10
01
10
10
00
00
00
11
10
01
00
00
00
10
10
00
10
10
11
11
00
00
01
10
10
00
00
10
10
11
00
00
10
11
01
00
10
00
11
00
00
11
11
01
00
11
00
01
10
10
01
00
01
10
00
01
01
11
10
10
10
10
00
00
00
10
10
10
10
10
00
10
10
10
01
10
00
11
00
11
10
11
11
11
00
11
01
01
11
01
11
11
11
10
01
10
01
01
11
01
00
11
01
10
11
00
00
11
11
00
00
00
10
01
10
01
00
10
10
01
00
01
10
10
00
00
11
00
11
10
10
11
10
00
10
00
00
00
10
10
10
01
01
10
01
10
01
00
00
00
00
00
11
11
11
10
01
01
00
11
10
10
00
00
10
00
10
00
00
11
00
10
01
10
10
10
10
01
10
10
00
10
01
00
00
00
10
01
00
10
10
11
00
10
00
01
00
11
01
10
00
10
01
00
10
10
01
00
01
11
10
10
10
11
00
00
10
00
11
00
00
10
00
10
10
00
01
10
01
10
00
10
10
01
01
00
10
10
01
10
10
00
01
11
10
10
00
01
11
10
10
00
10
01
10
00
11
10
01
10
10
10
10
01
10
00
10
11
00
10
11
00
00
01
10
00
10
00
00
11
10
00
00
10
10
10
10
11
10
01
10
00
01
01
10
00
01
10
10
10
00
11
01
10
10
01
00
10
00
01
00
10
01
00
10
00
00
10
00
00
00
01
10
10
11
00
01
00
10
01
00
11
00
10
01
00
01
10
10
00
11
10
00
00
11
01
00
00
10
10
00
01
10
10
10
00
01
10
10
00
10
11
11
00
00
00
11
11
10
01
10
10
01
00
10
11
00
10
10
10
00
00
00
00
01
10
11
10
11
10
01
00
00
10
10
10
01
10
10
11
11
10
01
01
11
01
01
01
01
11
01
10
01
00
10
10
10
10
00
01
01
01
10
01
10
10
10
01
00
11
11
01
01
00
11
11
10
01
10
00
00
10
00
10
10
00
10
11
10
10
00
10
10
10
01
01
10
11
01
00
10
00
00
00
01
10
10
10
00
01
11
10
00
00
01
01
10
00
11
10
01
00
00
10
00
00
01
10
10
00
10
01
01
10
00
01
00
11
00
10
11
10
00
10
11
00
00
10
00
10
01
00
10
10
01
00
00
10
10
01
10
10
00
10
10
11
11
00
00
01
11
11
01
00
10
11
00
10
00
00
10
11
00
00
01
10
01
00
11
11
01
01
00
10
00
01
10
10
11
00
10
10
00
01
10
01
10
00
11
00
00
10
00
00
11
00
00
11
01
11
00
10
00
10
00
11
00
00
11
01
10
10
00
00
11
10
10
10
11
10
00
11
10
11
10
11
00
10
10
01
11
10
10
10
01
01
01
01
00
11
11
00
10
10
00
10
10
00
00
00
00
10
10
10
00
00
00
01
01
00
00
10
10
11
00
10
11
00
01
00
11
10
01
00
00
00
10
10
00
00
11
00
01
00
00
10
00
10
01
00
00
10
00
11
00
11
10
10
01
10
11
01
01
10
10
00
01
10
10
01
00
11
10
00
10
00
10
10
00
00
00
00
11
11
00
01
11
00
10
01
00
00
01
01
11
10
01
10
11
00
11
11
11
00
01
00
11
00
01
10
11
10
00
00
11
11
01
00
10
00
11
10
01
10
11
00
00
10
00
00
10
00
00
10
11
10
01
00
10
00
00
00
11
11
10
00
01
11
10
10
00
00
10
01
00
00
10
01
01
10
00
01
10
10
10
11
10
01
11
01
10
00
01
01
01
00
11
10
11
10
10
01
00
00
10
10
01
00
00
10
00
01
11
01
00
10
00
10
10
11
10
00
10
00
01
10
11
00
00
11
00
00
10
10
01
11
10
00
11
00
10
10
01
00
10
00
10
10
01
00
10
01
00
11
00
01
01
01
01
10
00
11
01
10
10
00
00
11
01
00
00
10
10
10
00
10
10
01
01
00
10
11
00
00
00
01
11
01
10
10
00
00
10
10
01
01
11
00
00
11
10
11
01
01
10
11
00
11
10
00
01
00
10
11
11
00
01
00
00
00
00
11
10
10
00
10
11
00
00
10
00
10
10
01
01
00
10
00
00
11
00
00
10
10
11
10
00
10
10
00
00
11
00
01
10
10
10
10
11
10
00
10
11
00
00
01
00
10
10
00
11
11
01
01
01
11
11
00
00
00
11
10
00
10
10
01
00
11
00
00
10
00
00
10
11
00
00
11
01
00
01
10
10
10
10
00
10
10
10
11
11
10
11
00
00
11
00
00
10
00
01
10
10
00
01
10
01
01
10
00
01
01
11
11
00
00
10
11
11
00
11
10
00
01
10
11
01
00
11
00
00
00
01
10
10
01
00
00
10
00
11
01
01
00
00
10
10
01
00
01
11
11
00
00
10
10
10
00
00
01
10
10
00
00
01
00
00
10
10
01
01
11
10
10
00
00
01
11
01
00
10
10
10
10
11
11
00
01
10
00
10
00
01
01
11
10
00
10
11
01
11
11
11
00
01
11
01
10
11
10
00
10
00
00
10
11
01
10
10
10
10
00
10
10
00
10
00
11
10
10
01
10
11
01
10
00
00
10
00
10
11
00
10
11
00
11
00
11
10
10
00
00
01
10
11
00
11
00
10
00
10
11
01
10
10
10
00
11
01
10
11
00
01
00
10
10
00
00
11
10
00
01
01
11
10
00
10
10
01
01
00
10
10
00
11
00
00
10
00
10
10
11
00
00
00
01
10
10
01
01
10
10
00
10
00
11
00
11
00
00
10
10
10
00
00
10
01
00
11
00
10
10
00
10
11
00
00
00
10
10
10
10
00
00
01
00
01
00
10
00
10
01
00
00
11
10
00
10
10
00
10
00
00
01
00
10
10
00
00
11
01
00
01
11
01
00
10
11
01
00
00
10
11
01
10
10
00
01
10
00
10
10
00
01
10
10
01
01
10
10
01
01
00
11
10
11
00
10
00
11
10
00
00
00
10
00
10
10
00
10
00
10
11
10
10
00
00
10
10
10
00
10
00
10
00
11
10
00
00
11
01
00
11
11
10
10
11
01
01
00
11
10
00
10
10
00
10
01
11
10
01
00
11
01
01
10
10
00
10
00
00
01
11
01
01
01
00
10
00
00
11
10
01
01
10
00
00
00
10
10
10
10
00
01
10
01
10
00
10
10
11
00
11
11
10
01
10
10
00
01
00
11
00
01
11
10
10
00
00
10
00
00
11
11
01
00
11
11
00
10
10
10
10
00
00
10
10
11
01
00
01
10
10
10
10
00
10
10
00
01
00
10
10
10
10
00
10
10
00
01
00
10
10
11
00
11
11
01
11
00
00
11
00
01
10
01
01
00
10
10
10
11
01
10
10
11
11
00
01
10
01
00
10
00
00
11
10
00
00
11
10
00
11
10
11
10
10
10
00
01
10
00
00
10
10
11
00
00
10
10
01
10
11
10
00
00
01
10
00
10
00
10
00
00
10
00
00
00
00
10
00
00
00
10
10
10
11
00
10
01
10
10
10
00
00
00
00
11
11
10
00
11
01
00
11
00
00
10
10
10
10
01
10
10
00
10
10
11
10
01
00
10
00
01
00
01
10
10
01
00
11
10
10
00
10
00
00
00
00
00
10
10
11
00
10
00
10
11
11
10
00
10
10
00
11
11
11
00
10
00
11
00
00
10
11
10
01
01
10
00
10
10
00
00
01
00
10
10
10
10
11
10
00
00
11
01
10
10
11
10
01
00
10
00
10
00
00
00
10
00
00
01
10
10
01
00
00
11
10
01
10
10
01
00
00
11
01
01
10
00
10
00
10
10
00
10
01
00
10
01
10
01
11
10
01
10
11
10
00
00
00
10
11
10
11
11
01
11
11
00
00
00
11
10
01
00
11
00
01
10
00
00
00
01
01
00
11
10
10
00
11
01
01
11
11
10
00
00
10
10
00
00
10
00
10
00
00
10
00
10
00
00
11
00
11
10
10
10
00
01
10
10
01
01
00
00
10
00
00
10
01
11
10
01
10
01
11
00
01
10
11
00
01
11
11
10
00
11
10
10
01
00
10
01
00
01
00
00
10
10
00
10
00
10
01
00
10
00
00
11
10
01
00
00
10
00
10
10
00
10
00
00
10
00
00
10
00
00
00
11
11
00
10
00
01
10
01
00
10
10
00
00
10
01
00
00
11
10
11
11
00
10
11
10
10
00
00
01
01
11
11
01
01
00
01
10
01
00
00
00
10
10
01
11
10
00
00
10
01
01
10
11
00
11
11
00
10
11
00
01
10
11
10
00
00
00
00
11
00
01
10
10
01
00
00
01
10
10
00
11
10
11
00
10
00
00
10
10
01
00
11
10
10
00
00
10
10
10
01
00
01
10
11
10
00
00
10
00
00
00
11
10
11
10
11
00
10
11
11
11
00
00
10
00
00
10
10
00
01
00
10
11
00
01
00
00
10
10
10
10
11
00
00
11
00
10
10
10
00
10
10
11
10
00
00
10
11
00
10
00
00
01
11
10
00
10
10
10
01
00
10
00
10
11
01
11
00
00
10
11
00
00
11
10
10
11
00
00
11
10
11
11
10
10
01
10
00
00
00
00
01
10
11
11
01
01
10
00
00
00
10
01
00
10
01
10
00
10
00
01
10
10
00
01
11
10
10
00
00
00
00
11
11
00
10
10
00
00
10
00
10
10
11
00
10
00
00
11
00
00
10
10
01
00
10
00
01
10
11
11
10
01
00
10
10
01
00
10
01
00
00
01
00
10
01
11
10
00
00
01
00
11
11
10
00
00
00
00
01
11
00
10
00
11
10
10
01
11
10
10
11
00
01
10
10
11
01
00
00
00
11
10
00
00
11
00
01
11
10
10
00
10
00
10
01
00
00
10
10
10
00
01
10
10
00
10
10
00
00
11
11
00
00
00
00
10
00
00
00
10
10
10
00
11
11
00
11
00
00
00
01
00
11
01
10
00
10
00
10
10
00
10
01
10
10
10
00
11
01
11
10
00
00
00
00
01
00
10
10
11
11
10
01
10
00
00
01
01
01
11
00
10
01
00
00
10
10
00
10
00
00
11
00
10
01
00
11
00
10
11
00
10
10
01
00
10
11
00
10
00
11
10
11
01
10
00
10
11
10
01
00
11
10
10
10
00
11
10
10
00
10
00
10
10
01
11
00
10
11
00
10
10
00
11
11
00
10
00
10
00
00
11
01
01
10
00
11
10
01
11
11
00
00
11
01
10
10
11
00
01
11
00
00
01
10
00
00
01
01
01
00
10
10
01
10
00
11
11
01
11
11
00
01
10
11
00
00
10
10
00
11
10
00
01
11
10
10
10
00
00
00
00
10
10
10
11
11
10
10
10
01
01
01
01
00
00
01
10
00
10
11
10
11
01
11
10
10
00
00
01
11
11
01
01
11
10
00
00
10
10
01
00
00
10
10
10
00
11
00
11
10
01
10
00
01
10
10
11
10
00
10
00
00
10
00
01
00
11
11
10
01
01
00
00
11
10
10
11
01
00
00
10
10
00
00
00
10
10
10
00
01
10
10
10
00
00
01
10
11
10
10
00
01
11
11
01
10
10
10
11
00
11
11
01
11
10
01
11
00
00
10
01
01
10
11
01
00
10
10
10
00
00
11
11
10
00
01
00
00
00
11
00
10
10
10
10
01
00
00
00
10
00
00
10
10
10
10
00
10
00
00
11
00
11
00
00
10
10
10
01
10
11
00
10
00
00
10
00
11
10
00
11
10
00
10
11
10
00
01
10
10
00
00
01
00
10
10
11
01
00
10
00
10
11
10
00
01
01
11
10
00
01
11
10
00
10
10
10
10
00
00
00
01
11
00
10
01
00
10
00
01
10
10
10
01
00
00
10
00
10
10
00
00
11
00
00
01
01
00
10
10
10
11
00
10
00
10
10
10
10
01
10
01
00
11
00
10
10
10
10
00
00
11
10
00
00
01
10
01
00
01
10
00
01
00
01
00
10
11
10
10
10
00
01
00
11
10
10
00
01
11
11
01
00
01
10
10
10
00
11
10
01
00
00
00
00
10
01
11
10
10
00
01
00
01
00
10
11
00
00
10
00
01
10
11
00
11
10
10
01
10
11
10
00
00
11
11
00
00
10
00
11
00
00
10
10
11
10
10
01
11
01
10
10
00
00
00
10
10
00
00
11
01
00
00
10
10
00
00
10
11
11
00
01
11
01
10
00
01
01
10
00
01
10
11
10
01
10
00
01
11
10
00
00
10
10
00
00
10
10
00
00
10
00
00
10
10
00
00
10
00
01
00
01
01
01
11
01
11
00
11
00
01
10
10
00
01
11
10
01
01
01
00
10
10
10
10
00
10
11
00
00
00
10
10
11
00
00
00
10
11
01
00
10
01
01
10
10
00
11
10
10
01
00
11
10
00
10
10
00
00
10
00
11
00
01
00
10
00
00
10
10
00
00
01
01
00
10
11
01
10
01
10
00
10
10
00
10
00
00
10
11
00
00
01
01
11
01
01
00
00
10
10
10
00
00
10
11
00
00
10
10
00
10
00
01
01
11
01
10
11
10
11
10
00
00
10
00
00
01
10
00
10
01
11
00
01
11
10
00
00
10
10
00
01
10
10
00
10
10
01
00
00
01
00
10
00
10
10
10
00
00
10
00
11
00
01
10
00
00
10
11
00
00
10
11
00
11
10
10
10
10
10
01
00
10
11
00
10
10
11
00
10
11
10
00
00
00
10
10
10
00
10
10
11
11
11
00
01
00
10
11
01
00
11
01
00
10
10
01
11
11
00
11
11
10
00
01
01
01
10
10
01
00
11
01
00
10
10
00
00
10
10
01
11
10
10
10
00
10
00
11
00
00
10
11
11
01
10
10
01
10
10
00
01
10
10
00
11
10
00
00
10
00
00
11
11
10
00
00
10
00
00
10
10
10
10
10
01
10
11
11
11
11
00
00
10
10
11
00
00
10
11
11
11
10
00
01
10
11
00
00
10
10
10
01
10
11
00
01
00
00
10
11
01
00
00
11
00
10
00
00
10
00
10
00
00
00
00
10
10
10
01
10
10
00
00
01
10
01
01
00
10
00
11
10
11
00
00
11
00
00
00
01
10
10
01
01
01
00
00
10
10
11
10
00
00
10
01
01
00
10
00
11
10
01
00
00
10
10
00
01
10
11
10
11
10
10
10
00
11
11
10
01
00
01
10
11
11
11
10
01
00
01
00
11
10
00
10
10
00
00
01
01
10
00
11
10
10
11
11
01
00
01
10
10
11
11
11
01
00
11
11
10
00
01
11
10
11
10
00
00
00
10
01
00
11
11
00
00
10
00
10
00
10
00
00
10
00
11
10
01
10
00
11
00
01
11
10
10
00
01
10
00
00
00
10
10
10
11
01
01
10
01
10
00
00
00
10
10
00
00
10
00
01
00
00
10
01
10
10
00
10
11
01
01
10
10
10
11
10
01
01
11
00
00
10
11
10
00
01
00
01
10
10
00
10
01
10
10
00
00
10
00
10
11
00
10
00
10
10
11
00
11
01
01
01
10
11
00
10
10
10
01
00
10
10
00
11
00
00
10
10
01
01
10
10
01
01
00
11
10
01
11
10
00
10
10
00
10
11
10
11
10
10
10
10
00
00
10
00
10
10
01
10
00
10
00
10
11
00
10
10
00
00
01
11
10
00
11
10
10
01
11
00
10
01
00
11
11
10
00
10
00
00
01
10
10
10
11
00
00
00
11
10
01
00
11
10
10
10
01
00
11
00
01
10
10
10
01
00
10
10
00
00
00
10
11
11
01
10
10
11
00
00
00
11
10
01
10
00
01
11
00
11
00
01
00
10
11
10
00
11
11
01
00
01
10
11
11
01
00
11
10
11
00
00
10
10
00
00
10
01
11
01
00
01
00
11
10
10
10
01
10
11
11
00
00
11
10
11
01
00
10
10
01
00
10
11
10
00
00
10
11
10
10
00
10
00
00
11
11
10
00
10
11
00
00
10
11
01
00
00
00
00
00
11
10
01
01
10
11
00
10
00
10
00
10
10
10
00
00
00
01
01
00
11
01
00
00
10
10
11
00
00
00
10
11
10
01
00
11
00
11
10
00
01
10
10
11
10
00
00
00
01
00
00
10
10
10
11
00
00
00
11
01
10
10
00
10
10
10
01
00
00
10
11
00
10
11
00
11
10
00
10
11
10
10
00
00
10
00
10
10
10
11
00
01
00
00
01
00
11
10
00
01
00
10
00
01
10
11
10
01
11
11
11
00
11
10
11
00
00
10
10
10
00
11
10
01
10
11
00
10
00
00
10
11
01
00
00
10
00
10
00
01
10
01
10
00
00
11
10
11
10
00
00
00
01
01
10
10
10
11
00
10
00
01
10
11
01
00
00
11
00
10
11
01
00
00
11
00
11
10
10
11
10
00
10
00
01
10
10
01
10
01
10
10
00
00
10
10
10
01
01
10
10
00
10
01
11
10
01
10
10
10
00
00
10
10
00
00
10
10
00
00
11
11
11
10
01
10
00
11
00
00
10
11
01
01
00
00
10
10
11
00
11
10
00
10
10
11
00
00
10
11
11
11
10
01
00
11
10
10
00
01
10
10
10
00
10
00
10
00
10
11
00
01
10
00
01
10
01
10
10
01
00
10
10
00
10
00
11
10
01
00
11
00
10
11
10
00
11
00
00
10
10
00
00
01
10
00
11
00
00
10
01
10
00
01
11
01
00
00
10
01
01
10
10
11
00
00
10
00
01
11
00
10
00
10
00
10
00
01
10
11
11
11
00
10
10
00
10
11
10
00
00
10
10
01
01
01
01
11
00
10
10
01
00
01
10
10
00
00
10
01
11
11
10
01
01
11
00
10
10
00
00
01
00
10
01
10
11
10
11
00
11
11
10
10
00
01
10
00
00
00
00
11
00
00
10
01
10
11
00
01
10
10
00
01
10
11
00
00
00
10
01
10
01
10
10
00
11
01
11
00
01
01
00
10
01
10
10
00
00
10
00
01
10
00
10
10
11
10
10
10
10
00
11
11
11
00
10
11
00
00
00
10
10
10
01
11
11
11
00
00
00
11
11
11
11
01
00
00
01
10
10
00
01
10
11
11
10
01
01
00
00
10
00
01
01
10
10
10
10
00
10
11
01
00
00
00
00
01
10
00
11
10
00
00
11
10
11
10
01
00
10
00
00
00
10
00
00
10
10
10
00
11
00
11
00
10
01
00
01
10
10
10
10
01
10
01
00
10
10
00
10
11
11
00
10
11
10
10
00
00
01
01
10
10
01
00
10
11
00
01
11
00
00
11
00
11
01
01
10
00
00
10
11
10
01
10
01
10
10
00
00
10
11
00
01
11
10
01
00
10
00
00
10
00
10
10
00
11
10
11
00
00
10
11
00
00
01
10
11
00
10
11
01
00
10
10
10
00
00
10
11
00
00
11
00
11
01
00
00
11
01
01
10
10
01
01
00
00
10
11
01
10
10
10
00
11
10
01
00
10
10
10
00
00
11
11
01
01
10
00
01
10
10
00
00
10
11
10
10
01
10
01
10
10
01
11
10
00
01
11
10
01
11
00
01
10
00
11
10
00
00
11
10
11
00
01
01
11
01
00
10
11
00
10
10
01
11
11
10
01
00
00
10
10
00
00
10
00
10
11
00
11
10
10
00
00
10
00
10
10
00
00
01
00
10
00
00
11
00
10
01
00
11
01
01
00
00
00
10
00
00
10
00
00
10
11
10
00
00
10
01
10
10
00
00
10
01
00
00
10
10
00
01
10
00
00
11
00
10
00
00
00
10
10
11
00
00
11
01
10
11
01
00
00
00
10
00
00
11
00
01
00
10
00
01
10
00
11
00
00
10
01
10
01
00
11
10
10
10
10
10
01
10
10
01
10
10
00
01
01
00
00
00
10
10
10
10
10
00
10
00
00
01
10
00
00
01
11
10
10
01
00
10
11
00
10
00
10
10
10
10
00
00
10
11
00
11
10
10
00
01
00
11
10
11
00
01
01
00
10
10
00
00
01
10
10
00
00
01
00
10
10
00
10
10
00
11
00
01
01
01
00
00
00
10
10
11
00
00
10
00
00
10
00
10
10
01
10
00
11
00
00
01
00
00
10
11
10
11
11
01
11
10
10
10
00
10
10
11
01
00
01
00
01
10
01
00
01
00
11
11
11
11
11
11
01
10
01
00
10
10
01
11
11
00
00
10
01
00
10
10
00
01
00
10
10
01
11
10
00
00
10
01
11
11
10
01
10
10
11
00
01
10
01
00
10
00
11
00
00
01
00
11
10
10
10
10
11
00
00
00
11
10
00
10
01
00
10
01
10
10
00
11
01
01
00
10
10
10
10
11
10
10
10
01
01
10
00
10
10
00
01
00
00
00
10
00
00
00
10
00
01
11
00
10
01
10
11
00
10
10
00
11
00
00
10
11
11
00
10
01
11
10
10
10
00
10
00
10
10
10
01
00
00
00
00
00
10
11
00
10
11
10
00
01
00
11
10
11
11
11
10
01
10
11
10
00
01
11
11
00
00
10
11
11
11
00
10
10
00
10
10
00
00
01
01
00
10
10
10
00
00
10
10
00
00
01
10
10
00
10
10
00
00
10
10
00
01
00
10
10
10
11
11
00
01
10
00
11
01
00
10
10
00
10
00
01
10
11
00
00
00
00
10
00
00
10
10
10
01
10
00
10
10
10
01
00
00
11
00
00
10
10
01
01
00
10
10
10
10
10
00
11
00
01
10
00
10
00
11
01
01
11
00
10
00
11
01
11
10
10
00
01
10
11
10
01
01
10
10
11
10
00
10
10
10
01
01
10
10
01
00
01
00
01
10
10
00
01
10
00
10
10
00
00
10
10
11
01
11
00
01
10
01
00
11
10
01
11
10
00
01
10
10
10
01
00
10
10
11
00
01
10
10
10
11
10
10
11
00
11
10
00
10
11
11
00
01
00
01
11
10
10
10
10
11
00
01
01
01
00
01
10
10
00
11
01
00
01
00
00
10
10
00
01
00
11
10
01
11
00
00
10
01
10
10
01
00
01
10
10
11
00
11
10
00
00
01
10
00
10
10
10
10
11
01
11
10
00
01
10
10
00
01
10
10
00
10
11
00
00
01
00
11
10
00
00
10
11
11
01
01
00
11
10
10
00
10
11
01
00
10
10
00
10
00
00
10
11
11
00
00
10
11
00
11
10
00
01
11
00
00
01
10
01
00
10
10
00
11
10
10
00
01
11
00
01
11
00
00
00
01
00
00
10
00
00
00
11
10
11
11
00
10
00
00
10
10
00
10
00
01
11
00
10
10
00
00
10
01
00
00
10
11
00
11
10
10
10
10
10
10
01
10
01
00
10
10
11
10
00
00
11
11
10
10
00
10
11
01
01
10
11
00
00
10
11
11
11
10
01
00
10
10
01
01
10
00
00
10
10
10
10
10
00
00
00
10
01
10
10
01
00
10
11
11
01
10
10
00
00
00
11
10
00
01
10
11
00
10
10
11
00
01
10
10
01
00
11
00
10
10
11
00
00
00
10
00
10
00
01
00
11
10
11
11
10
00
01
01
11
10
00
11
10
10
11
01
00
01
00
11
10
01
01
10
11
00
01
11
00
00
00
11
10
10
00
00
10
11
00
00
10
11
11
01
01
10
10
01
00
00
10
10
01
10
10
11
10
10
11
01
01
10
00
10
10
00
00
00
11
11
00
10
00
00
01
10
10
10
01
11
10
00
00
00
10
10
10
01
10
10
00
00
10
10
00
10
00
01
01
00
01
11
10
10
00
00
11
10
00
11
01
10
00
00
01
10
01
00
01
10
00
10
10
10
01
00
01
01
10
10
00
00
01
11
10
10
00
00
00
10
11
00
00
11
10
01
01
10
00
00
11
10
00
00
11
10
10
00
10
10
10
00
00
00
00
11
00
00
10
01
10
11
10
10
01
01
10
11
00
00
01
10
10
00
10
10
01
01
11
01
10
11
00
00
00
10
00
01
10
11
00
01
10
10
10
00
01
10
11
00
00
10
01
00
10
11
10
11
00
11
01
01
00
10
00
00
00
00
10
10
01
00
01
10
00
00
11
11
10
10
01
11
11
00
11
01
11
10
00
10
01
01
10
01
00
10
10
10
01
01
01
10
11
10
00
10
11
11
01
11
10
00
10
10
00
11
10
00
01
10
00
10
00
01
10
10
10
01
00
10
01
11
10
00
00
10
10
10
10
00
00
00
11
10
00
10
01
00
10
10
10
01
10
00
01
01
11
01
10
00
01
10
10
10
00
10
01
00
00
01
01
10
11
10
01
10
01
00
11
01
10
00
00
10
00
11
10
10
00
10
10
00
11
10
10
01
00
11
00
10
00
00
01
10
01
11
11
00
00
10
10
01
11
00
00
10
11
10
10
01
00
10
10
10
10
00
00
11
00
00
01
00
10
00
10
10
10
00
00
01
10
11
11
00
10
10
00
00
10
10
00
01
10
10
00
01
11
10
10
10
00
00
00
00
10
10
10
00
00
10
01
00
10
11
01
10
01
10
00
11
10
10
00
10
11
00
11
00
01
00
11
11
00
10
10
00
01
10
11
01
00
00
00
10
00
10
11
00
10
10
00
10
00
10
00
10
01
00
10
10
10
10
00
00
00
10
10
10
10
11
00
00
10
10
10
01
00
11
10
01
01
00
00
11
01
00
11
10
01
00
00
10
10
11
00
10
00
01
01
00
01
10
10
01
00
00
00
00
10
00
00
11
10
10
00
10
00
10
10
00
01
10
10
10
11
00
10
11
00
00
10
01
00
10
11
00
01
11
00
10
01
10
01
00
11
10
10
10
00
00
11
10
00
10
10
11
01
10
10
01
10
01
11
00
00
10
01
11
10
11
00
10
00
10
00
10
00
00
00
00
11
10
00
01
10
00
00
10
00
10
00
01
10
10
11
10
00
10
10
01
11
11
01
01
11
10
00
10
11
01
11
10
01
00
11
00
11
00
11
01
11
10
10
01
01
10
00
11
10
00
10
10
00
10
11
10
10
10
00
00
10
01
00
11
00
01
11
11
10
00
00
10
10
00
11
10
00
11
11
00
00
11
01
11
10
10
00
11
10
01
11
10
00
00
10
11
01
00
10
00
01
10
00
01
10
10
00
10
11
00
01
00
11
00
11
00
00
10
11
10
00
00
01
01
11
01
00
11
00
00
11
00
11
10
10
10
10
00
00
01
00
11
00
00
10
11
10
00
10
10
11
00
11
00
01
00
11
00
01
10
10
00
10
11
11
00
00
01
01
10
11
11
00
10
10
00
00
00
01
00
10
01
10
10
10
10
10
00
10
01
11
11
10
11
00
10
10
01
00
11
10
01
01
10
00
01
10
10
11
00
11
11
10
01
01
10
01
10
10
00
10
10
01
10
11
01
01
10
10
00
00
01
10
10
00
00
00
10
01
11
10
00
00
10
10
01
00
01
01
10
01
10
00
00
10
10
10
00
00
11
00
11
10
00
10
11
10
01
11
10
10
00
01
10
00
00
11
11
11
00
00
10
10
00
01
10
11
00
10
01
10
10
10
00
01
10
00
01
11
00
10
01
10
10
01
00
10
10
00
10
00
00
10
01
00
00
01
10
10
00
10
10
01
10
11
10
01
00
10
00
00
00
10
10
01
01
10
00
00
00
01
10
10
10
00
00
10
10
00
01
00
00
00
00
01
10
00
11
00
11
11
10
01
10
11
00
01
00
00
10
11
10
00
00
11
11
11
00
00
00
11
01
01
01
10
11
00
00
10
00
00
11
00
01
01
00
10
10
10
00
10
11
10
10
11
00
11
11
10
00
10
10
00
10
10
00
01
00
10
00
00
00
10
11
01
10
10
11
00
00
10
00
11
11
11
00
11
10
01
00
10
00
10
00
01
00
10
00
11
10
00
00
11
00
00
00
00
10
10
01
00
10
10
10
10
00
00
10
10
11
10
10
00
10
10
11
11
11
11
01
10
01
00
00
10
10
00
01
10
11
00
10
11
00
01
01
01
10
11
10
10
01
00
11
11
10
10
11
00
00
10
00
00
01
10
10
11
10
00
11
00
11
00
11
00
01
00
00
10
00
00
10
00
10
00
00
11
01
01
11
10
00
00
00
00
10
10
00
00
10
00
10
10
10
01
10
11
10
10
10
11
00
01
01
10
00
00
11
10
01
00
10
01
10
10
10
00
10
10
00
00
01
01
10
10
10
00
10
00
10
10
10
10
00
11
11
10
11
00
00
01
10
10
01
01
10
00
11
11
00
10
10
01
10
00
00
11
10
10
00
00
00
00
11
11
01
10
10
01
10
10
00
10
10
11
01
01
10
10
11
00
10
11
00
01
11
11
11
10
10
11
10
00
00
11
11
10
00
00
11
10
00
00
11
10
00
11
01
10
00
11
00
00
11
10
10
00
00
10
01
01
11
00
00
11
00
00
00
01
11
10
11
11
00
01
00
00
00
10
01
00
10
10
00
00
01
10
11
10
11
10
00
01
10
00
00
10
10
01
00
10
10
11
11
10
00
10
10
01
01
01
11
00
11
10
10
00
01
00
10
11
01
11
01
10
00
10
10
10
01
00
10
10
00
00
00
10
10
10
01
10
10
01
00
01
01
10
01
00
10
00
00
10
10
00
00
00
10
10
00
00
00
10
10
00
10
00
01
10
01
10
01
10
01
10
01
01
10
11
01
11
11
11
01
01
10
10
00
00
00
11
10
00
01
10
00
00
10
00
01
00
10
00
00
00
11
11
10
10
00
11
10
00
00
11
00
00
00
00
11
00
10
00
00
10
01
10
01
00
10
10
00
11
11
00
01
10
11
10
10
00
01
10
11
11
00
11
10
10
10
00
01
11
10
01
00
01
10
10
01
00
10
10
00
00
00
00
11
10
00
00
00
10
11
00
01
10
11
10
01
10
00
11
10
01
00
01
00
00
00
10
10
00
10
10
01
00
10
00
00
10
11
10
01
10
01
00
10
01
10
11
00
00
00
11
11
10
11
00
00
11
10
00
00
10
10
10
01
01
00
11
10
00
00
10
00
00
00
00
01
10
11
10
00
10
00
10
10
00
00
10
01
01
10
00
00
10
01
11
10
01
01
10
00
10
00
11
10
11
11
11
10
00
01
11
10
11
01
11
00
10
10
00
00
10
11
00
10
01
00
00
11
01
00
10
01
10
01
10
01
01
11
10
10
10
01
11
11
10
11
00
11
00
10
10
00
10
10
10
00
01
10
00
00
10
11
10
00
00
00
10
10
01
00
10
10
11
10
01
10
10
00
00
11
10
11
00
10
11
00
01
00
10
00
10
10
01
00
10
00
01
10
11
10
00
00
11
00
01
00
11
10
10
11
00
00
11
00
01
10
10
10
00
11
10
01
01
01
00
00
10
10
01
01
10
10
10
10
10
10
00
00
10
00
00
10
11
01
01
11
00
00
00
01
11
11
01
01
01
00
10
10
10
00
00
11
00
00
10
00
10
10
00
10
10
10
00
01
00
00
10
01
10
10
10
11
01
10
10
00
00
11
00
10
11
00
01
10
10
01
10
01
00
10
10
10
10
00
10
01
00
01
11
01
11
11
11
00
00
10
10
00
00
01
00
10
00
00
10
10
01
10
00
00
10
11
00
00
10
00
00
01
01
11
11
11
00
00
10
10
01
00
10
10
00
00
10
00
00
10
10
11
00
11
00
10
00
10
00
11
10
01
10
10
10
10
11
10
00
00
00
00
11
10
10
10
01
00
00
00
11
11
11
11
00
00
10
10
10
11
00
00
10
11
10
10
00
00
11
00
01
10
10
11
00
10
10
10
00
10
11
00
10
11
00
10
00
11
10
10
10
00
10
00
10
01
00
00
11
10
11
00
01
01
10
01
00
00
11
00
00
00
00
00
11
00
00
00
10
00
10
10
11
10
11
11
01
00
01
00
10
10
01
01
10
11
00
00
11
00
00
11
11
00
00
00
10
00
10
11
00
10
01
10
01
10
10
01
01
01
10
11
01
10
11
00
01
11
10
00
00
00
10
11
00
00
00
00
01
11
10
01
11
10
10
00
00
00
11
10
10
00
00
00
10
00
00
00
01
11
00
11
10
11
11
10
00
10
00
00
11
11
01
00
00
11
10
01
00
10
11
10
00
00
00
10
00
10
10
00
00
00
10
11
01
00
11
11
11
00
01
10
01
10
10
01
10
10
11
10
00
00
10
00
11
11
00
00
11
10
10
10
11
00
00
00
00
10
00
10
00
10
10
10
01
11
11
00
01
10
00
01
11
11
00
00
00
10
00
01
10
00
00
11
00
10
11
10
00
00
11
11
01
00
10
11
01
00
10
00
00
10
00
11
11
11
10
10
00
10
11
11
01
00
00
00
10
11
00
10
00
10
10
10
11
00
00
10
11
10
00
10
10
00
10
00
11
00
00
01
10
11
00
10
10
00
01
00
00
10
11
00
01
10
01
00
10
10
00
10
11
00
00
10
11
11
11
10
00
01
11
10
01
01
10
10
10
00
00
10
11
01
10
10
11
00
00
01
00
11
11
11
01
00
10
10
11
10
00
00
11
01
11
10
01
10
00
01
00
00
11
10
10
00
10
11
10
10
00
01
11
00
00
10
00
10
11
00
01
00
01
00
11
00
00
10
00
10
11
01
00
11
00
11
01
00
01
00
10
11
11
11
11
00
10
01
00
10
11
00
00
11
01
01
11
10
00
10
00
01
10
00
00
10
01
10
10
10
11
10
10
10
00
00
10
00
11
00
00
11
00
01
00
10
10
00
00
10
10
01
00
00
01
00
10
10
10
00
01
10
10
10
00
10
10
00
00
10
10
10
11
00
11
11
00
00
00
10
00
11
10
00
00
10
11
00
01
11
11
01
10
10
00
10
11
00
00
11
11
10
00
11
00
00
00
01
11
00
00
01
10
10
11
01
01
11
10
11
00
00
10
00
00
00
01
10
10
00
10
00
11
10
00
00
10
01
10
11
10
00
00
10
00
00
10
10
00
11
00
10
00
10
10
00
01
11
00
10
01
01
01
10
10
01
00
11
00
11
11
00
01
10
00
11
11
00
01
00
01
10
10
01
10
10
00
10
10
01
10
10
00
00
11
11
00
00
00
00
00
10
01
10
11
10
01
00
10
10
10
00
00
10
00
01
01
10
10
00
10
10
00
00
10
00
00
01
00
00
00
10
10
11
00
01
10
00
10
10
10
00
00
11
10
10
00
10
00
11
01
00
11
11
10
00
10
10
10
10
01
10
11
10
00
10
11
01
00
00
10
00
00
10
10
11
10
10
10
10
00
00
01
00
00
01
00
00
00
11
10
00
00
00
10
11
00
11
01
11
10
11
00
10
11
00
11
00
00
00
10
01
00
00
10
10
00
01
10
10
10
00
10
00
10
00
00
10
11
00
01
01
01
10
00
11
10
00
00
11
11
01
00
00
11
00
10
00
01
00
00
11
11
01
01
01
11
10
00
00
10
10
00
00
11
10
00
10
00
01
01
00
01
00
00
10
10
00
10
11
00
00
00
11
00
01
00
10
11
01
11
11
00
00
01
11
00
10
10
01
00
10
10
11
00
00
01
10
01
00
11
01
11
00
00
10
11
00
11
10
00
11
11
01
11
00
11
01
00
10
00
10
10
10
00
00
10
10
00
11
00
01
11
10
10
10
10
01
00
10
10
00
10
10
00
00
10
10
10
01
10
00
00
10
10
10
00
00
10
10
10
00
00
00
00
10
10
01
00
11
00
10
00
11
00
01
10
10
10
10
10
01
00
10
10
11
01
00
11
00
00
00
10
10
10
00
10
11
00
10
00
11
01
10
01
01
11
11
01
00
01
00
11
00
11
11
01
00
11
00
00
10
10
01
00
10
10
00
10
01
11
00
11
10
01
11
00
11
10
00
01
00
11
00
01
10
10
10
11
10
01
00
10
11
11
10
10
11
00
00
00
00
10
11
01
00
00
11
11
01
10
00
00
00
10
11
00
01
10
01
11
10
10
10
10
11
01
01
00
10
01
01
00
10
00
00
10
01
01
10
10
00
00
01
00
10
11
10
11
01
11
10
11
10
00
00
00
01
10
10
01
10
10
11
00
00
01
10
11
01
00
10
11
10
01
11
10
00
10
10
00
10
10
01
11
11
10
10
10
00
00
00
10
00
00
10
00
00
00
01
10
01
11
00
11
10
01
00
01
10
01
10
10
10
00
00
00
10
00
00
10
10
11
01
10
10
00
10
11
00
00
01
00
11
11
01
01
00
01
10
00
10
10
00
11
11
10
10
10
10
10
11
00
00
01
11
00
11
00
00
00
10
10
10
11
10
10
10
10
11
11
10
10
00
11
10
11
01
00
10
00
11
10
10
00
00
00
10
01
00
10
10
10
01
00
10
00
10
00
10
01
00
01
11
00
01
10
10
00
10
10
01
01
10
11
00
11
00
00
00
10
01
10
10
00
00
10
11
00
11
11
10
01
11
11
01
00
10
00
00
11
00
00
00
10
11
11
10
01
00
00
01
10
11
00
11
10
00
10
00
10
00
01
10
00
00
10
01
01
10
11
10
00
10
00
00
11
01
10
11
00
11
00
00
10
01
11
00
01
11
00
01
11
11
10
10
00
10
00
01
10
10
11
01
01
10
11
01
11
00
11
11
10
00
00
01
00
10
10
11
00
00
11
11
00
00
00
11
10
00
00
00
11
00
10
10
11
11
01
10
10
10
00
00
11
01
10
10
01
00
11
00
00
10
10
00
11
10
00
00
10
10
01
00
00
11
10
10
00
00
10
01
00
01
10
01
01
10
10
01
10
11
00
01
10
11
11
00
00
10
01
00
01
10
00
00
10
01
10
10
10
10
00
10
10
01
11
10
00
00
10
11
10
10
01
11
10
10
00
01
00
01
10
11
10
01
01
00
10
11
00
00
10
10
00
00
00
00
01
01
10
10
10
01
00
00
10
11
10
01
00
10
10
10
00
01
00
10
10
00
11
11
11
11
00
10
10
10
00
01
10
00
10
00
10
01
01
10
11
00
11
10
10
10
01
10
00
00
10
11
01
01
11
10
00
10
01
11
11
00
01
10
01
10
01
10
01
10
10
00
00
00
11
00
10
10
10
00
10
10
01
00
10
10
10
11
10
11
00
00
11
11
10
00
00
11
01
00
10
10
10
10
00
00
11
01
00
10
10
10
10
11
01
01
10
00
00
10
00
00
11
11
10
01
10
00
10
10
11
00
01
11
00
10
00
01
10
11
01
11
01
00
11
00
00
10
11
01
00
00
11
11
00
11
11
10
11
01
10
10
01
00
11
10
00
00
10
10
10
10
01
11
00
00
00
10
10
01
10
11
00
00
00
10
11
00
00
10
00
00
10
01
00
11
00
10
00
01
10
10
10
11
10
10
11
10
01
00
00
01
10
10
00
01
11
00
00
10
10
00
00
10
00
11
00
01
00
10
10
00
00
00
10
10
10
10
11
00
00
10
00
10
10
10
00
11
11
01
10
11
11
00
10
00
00
00
11
10
01
00
10
10
01
00
10
11
11
00
00
11
10
00
01
10
11
00
00
00
11
00
00
11
11
11
00
00
00
00
00
10
11
01
01
00
00
00
10
10
01
10
10
00
10
10
11
10
00
00
10
01
11
10
00
00
10
11
00
10
11
00
10
00
00
00
11
10
10
10
00
10
10
00
10
10
10
10
00
10
00
10
10
10
00
01
10
11
00
10
01
10
01
00
11
10
00
00
10
00
11
01
00
10
00
11
10
11
10
10
00
10
00
11
00
01
10
10
11
00
01
10
10
00
01
01
10
01
00
10
11
01
00
10
00
01
10
10
10
01
00
01
11
11
01
10
01
00
00
10
10
11
10
10
00
10
00
00
10
00
10
01
01
10
10
01
01
01
01
11
10
00
00
00
10
00
01
11
10
11
00
10
10
10
10
00
00
11
11
10
01
01
00
11
10
00
10
11
01
11
01
00
01
01
01
10
11
00
00
00
10
01
11
11
01
11
10
01
10
11
00
01
10
10
11
00
11
00
10
10
00
01
01
10
00
00
10
00
00
00
00
00
10
01
00
11
00
00
11
00
00
00
10
11
10
11
00
10
01
00
11
00
10
11
00
01
11
00
00
00
10
10
00
01
10
11
00
00
10
00
00
00
01
11
11
01
11
11
11
00
01
00
10
10
11
00
00
01
00
11
10
10
10
10
00
11
10
00
10
11
00
10
11
10
10
00
10
01
10
00
00
00
11
01
11
00
11
10
00
10
00
00
11
10
00
11
10
00
11
01
00
00
00
10
11
00
01
10
10
00
00
01
10
00
00
00
00
10
11
01
01
10
01
01
00
10
10
01
10
01
10
10
11
01
00
01
10
00
11
00
00
10
00
10
11
10
01
11
11
00
10
00
00
10
10
11
10
01
01
00
01
01
11
10
11
00
11
00
00
10
11
00
00
01
10
00
01
10
10
00
11
10
10
10
00
01
10
01
10
10
00
00
01
10
11
00
10
10
01
01
00
01
00
01
00
10
10
01
00
00
00
11
11
00
10
10
10
00
00
10
00
11
10
10
10
00
10
11
10
00
00
10
10
00
00
10
11
01
10
00
11
00
00
00
10
11
00
00
00
00
10
10
11
00
01
10
10
11
10
10
11
10
01
10
10
00
00
11
11
00
11
00
01
00
00
00
11
10
00
10
10
00
10
11
00
00
10
10
10
10
10
11
11
00
11
10
01
11
00
00
10
10
00
00
10
10
01
00
10
10
01
00
10
00
00
01
10
10
00
00
00
10
10
10
01
11
00
00
01
10
01
00
11
01
10
10
01
01
11
11
00
00
11
10
10
01
00
01
10
00
00
11
10
01
01
10
10
00
00
10
00
00
10
10
00
10
11
01
11
11
00
10
11
01
00
11
10
00
00
10
11
10
11
00
11
00
00
00
10
00
10
01
00
00
10
01
00
00
11
11
00
00
11
00
11
10
01
10
11
01
01
01
10
10
00
11
01
01
11
11
00
10
10
10
00
00
11
11
11
01
00
10
00
00
10
00
10
10
00
10
00
11
11
01
01
00
11
10
11
00
11
10
01
00
10
10
10
10
00
10
10
11
01
00
01
11
00
00
01
00
11
11
00
00
00
01
10
01
00
10
00
01
11
00
00
01
00
10
00
01
10
10
10
00
00
11
00
11
01
10
00
00
11
10
10
00
00
00
00
00
10
00
01
10
11
00
00
11
11
10
01
01
10
10
00
11
01
01
11
11
11
00
10
01
00
10
10
00
01
10
10
00
00
10
10
11
11
10
00
10
10
00
10
00
00
01
00
01
10
10
10
01
10
10
01
00
10
10
11
01
00
01
11
11
00
10
10
00
10
01
00
01
10
01
00
11
11
10
00
00
10
10
10
01
00
10
11
00
01
00
10
10
00
10
11
11
00
11
10
01
00
11
11
11
00
00
00
10
10
00
01
10
11
00
01
11
01
11
10
00
00
00
10
11
00
00
00
00
10
01
00
00
00
10
01
10
10
00
11
11
10
11
11
10
10
00
11
01
00
10
10
01
00
11
00
01
10
00
10
00
00
00
00
11
11
00
00
10
01
00
10
00
11
10
01
10
10
00
00
01
10
00
11
11
11
01
01
10
01
10
01
10
10
00
01
10
00
10
10
00
11
01
11
11
01
10
00
11
11
00
01
10
00
00
10
01
11
11
01
10
00
11
10
10
01
00
10
00
10
11
10
00
00
01
11
00
00
00
00
11
10
10
00
10
10
11
10
10
00
00
00
01
10
00
00
10
10
10
00
11
10
10
11
11
11
01
01
10
10
11
00
01
10
10
00
00
00
10
00
00
00
10
10
01
00
10
10
10
10
10
00
00
10
10
10
11
00
00
00
10
11
10
10
01
01
00
10
00
10
10
11
00
10
10
01
11
00
01
11
00
01
00
10
11
01
00
10
00
10
00
00
11
00
10
11
10
01
10
00
01
10
10
01
11
00
00
00
10
10
11
10
10
01
10
11
00
00
00
00
10
10
00
01
10
10
00
10
01
11
00
00
01
00
10
00
11
11
10
01
01
10
10
00
00
00
11
10
11
00
11
10
00
00
10
00
01
00
11
10
01
10
10
11
00
00
01
01
11
10
00
00
11
11
00
01
10
10
01
01
00
11
11
00
10
00
00
11
00
00
10
11
11
00
00
01
11
10
11
00
10
00
10
10
10
10
00
10
11
01
00
00
01
00
11
01
10
01
10
01
10
10
00
11
00
01
10
10
00
00
11
11
11
01
00
00
11
00
10
00
00
10
10
00
11
10
10
10
00
00
00
01
00
10
10
10
00
11
11
00
11
01
10
01
00
00
00
10
10
10
11
10
01
00
11
00
00
01
10
00
01
10
10
10
01
00
01
10
10
10
00
01
10
11
01
00
10
01
10
00
10
11
01
10
10
10
10
10
11
00
10
01
10
10
10
11
10
00
11
10
11
00
00
01
01
11
10
00
01
00
00
00
11
11
00
01
00
01
10
10
10
01
01
10
11
10
10
01
10
01
00
11
00
00
10
10
10
11
00
10
11
01
01
10
00
00
10
01
00
10
10
00
00
01
10
10
01
00
11
10
00
00
10
10
00
10
11
10
01
10
11
10
00
10
01
10
00
10
10
00
11
10
01
00
11
10
10
10
11
10
10
11
00
01
10
11
01
00
10
11
00
00
10
11
00
01
10
00
11
11
10
00
10
01
01
10
11
11
10
11
10
01
11
10
01
10
10
01
00
01
01
10
11
11
10
00
11
10
10
00
00
00
10
11
01
10
00
10
10
10
01
01
10
10
00
00
10
10
00
10
10
01
00
10
10
10
11
10
10
10
01
01
01
10
10
00
11
00
00
10
10
01
01
00
01
10
10
10
10
00
11
00
10
11
01
11
10
11
00
10
10
00
01
10
01
00
10
00
10
10
11
10
00
00
00
10
00
10
01
11
11
10
10
00
00
00
01
01
10
10
10
11
00
11
00
00
11
11
10
10
10
10
01
00
10
10
01
00
00
10
01
00
10
11
00
01
10
10
10
10
10
01
00
10
11
00
10
10
00
00
11
10
00
01
00
11
11
00
00
00
10
10
01
10
01
10
11
11
00
10
00
00
10
00
00
10
11
10
11
00
10
00
11
00
01
11
00
11
10
10
10
01
00
00
10
11
11
01
00
10
00
00
11
10
01
01
11
10
10
00
00
01
11
00
01
10
10
10
00
00
11
11
01
00
10
10
10
00
11
10
01
10
00
10
10
10
11
10
01
01
10
01
10
00
10
01
00
00
01
11
00
10
00
01
00
11
10
11
00
00
00
11
00
00
11
11
01
01
11
01
00
10
11
00
00
10
00
00
10
10
01
11
10
00
01
00
00
00
10
01
00
10
00
10
10
10
11
10
10
01
01
00
01
00
10
10
10
10
01
11
10
00
00
00
01
10
10
01
10
11
10
00
00
10
10
10
10
00
00
10
00
00
01
10
11
01
11
01
11
10
10
10
00
10
10
10
00
11
10
01
10
10
10
10
10
10
11
01
01
11
10
11
01
11
01
00
10
10
10
10
01
00
10
10
00
10
00
10
10
00
00
00
10
10
10
10
01
01
11
01
01
11
00
00
10
11
00
01
01
11
01
10
00
10
10
00
01
10
11
00
11
00
11
10
00
00
11
11
10
00
00
00
01
00
01
10
11
00
11
00
00
10
11
00
00
00
00
10
01
01
10
10
10
00
01
00
01
10
00
11
11
11
10
01
00
00
00
00
10
11
00
00
11
01
00
10
00
10
00
01
10
00
00
11
11
01
00
10
01
11
10
10
00
00
10
11
00
10
10
11
00
00
00
10
00
10
11
00
11
11
10
01
01
01
11
00
00
00
00
01
10
11
10
10
10
00
11
01
10
01
00
11
10
10
11
00
01
11
10
00
11
01
11
00
00
10
00
00
00
10
11
10
11
10
10
00
01
00
11
11
01
10
01
10
11
00
00
10
11
01
00
10
11
11
01
00
10
10
10
00
00
00
10
11
01
01
00
01
01
11
00
10
11
00
01
01
10
00
11
01
00
10
10
01
00
10
00
00
00
01
11
10
00
00
01
10
00
11
00
01
10
00
00
10
10
00
11
11
00
01
10
01
00
10
00
00
10
11
00
00
11
11
01
01
10
11
01
00
10
10
00
01
10
00
10
10
01
01
00
10
10
00
00
10
10
00
10
00
01
11
10
00
10
01
00
00
10
10
00
10
10
00
01
11
11
00
11
10
11
00
10
10
00
11
10
00
00
10
01
00
11
00
10
10
00
00
10
11
01
10
10
00
11
00
01
01
01
10
01
10
00
01
10
11
00
01
10
00
00
10
10
00
10
11
00
00
00
00
11
00
11
01
11
00
01
00
11
10
00
10
00
00
10
10
00
00
10
10
00
01
11
11
10
01
01
00
11
10
00
10
10
00
10
10
01
01
01
01
00
10
10
10
00
00
00
11
10
10
10
00
00
11
01
01
10
10
11
01
11
10
11
01
11
11
01
11
00
00
11
00
00
10
11
11
10
01
11
10
10
10
00
00
10
10
11
00
01
10
10
00
11
00
01
10
11
10
01
01
11
11
00
10
00
00
10
10
00
00
10
11
10
11
10
00
01
10
11
10
01
11
11
00
01
10
11
11
00
01
10
01
10
01
00
00
11
10
00
01
00
11
01
01
10
11
00
01
10
01
10
10
01
00
01
10
10
01
10
00
01
11
00
01
10
10
00
00
10
00
00
10
00
00
10
11
01
00
00
00
10
01
01
11
11
00
01
10
10
00
00
10
10
01
00
10
10
11
01
00
00
00
00
00
01
10
10
10
00
10
00
00
00
00
10
01
01
10
11
00
01
11
10
10
00
00
11
11
01
10
00
11
00
10
11
10
00
10
00
01
10
00
10
00
01
00
01
11
00
11
01
00
01
00
11
01
00
10
01
00
11
10
00
00
00
11
10
11
00
10
00
00
10
10
11
01
10
10
10
00
00
11
10
00
00
00
00
11
10
11
00
00
10
10
00
00
10
10
01
00
00
10
10
11
10
10
00
11
10
10
10
01
00
10
11
00
01
10
11
10
11
01
00
01
00
10
00
11
10
00
10
11
11
10
10
01
00
10
10
01
00
00
10
01
00
10
11
10
00
00
00
01
01
10
10
01
01
01
01
00
10
11
00
01
10
10
11
00
01
01
10
10
11
10
00
00
10
01
00
00
11
00
11
11
00
10
00
01
10
10
00
01
10
00
00
00
10
10
11
01
01
01
00
00
01
11
10
10
01
01
01
10
10
00
10
11
00
00
00
11
10
11
00
10
11
11
10
00
00
11
11
00
00
10
00
00
00
11
11
01
00
00
10
01
01
00
10
10
01
10
00
00
01
00
11
00
10
00
00
00
01
10
11
10
00
01
00
11
01
10
10
00
00
10
10
10
00
01
00
10
00
00
01
10
11
00
10
11
00
00
10
11
00
01
00
10
00
11
10
00
11
00
10
11
10
00
10
10
00
10
10
11
11
00
00
01
01
01
00
10
00
00
00
10
00
00
10
00
01
00
11
10
00
11
10
00
00
10
10
00
01
10
11
01
00
01
00
10
11
00
10
00
00
10
00
00
00
10
00
10
00
00
00
10
11
10
11
11
11
00
01
11
10
01
00
00
00
10
00
00
00
10
00
01
10
10
10
10
10
00
11
01
00
11
10
00
10
01
10
10
11
01
10
10
00
01
11
01
01
11
00
00
00
10
10
01
10
11
00
10
01
10
01
00
01
10
00
10
11
00
01
11
11
01
11
00
10
00
11
00
00
10
01
00
01
10
11
10
10
10
00
00
11
10
01
10
00
01
11
00
10
00
01
00
01
00
10
00
11
00
10
10
01
10
00
11
10
00
01
10
00
10
10
00
11
00
10
00
10
00
00
11
10
00
01
00
01
10
00
00
01
10
00
11
11
01
11
00
11
11
10
10
10
01
01
10
10
01
11
10
01
00
11
10
11
01
10
00
00
10
00
00
10
10
10
01
10
00
00
00
11
01
01
10
10
11
10
01
00
11
10
00
00
10
11
00
11
10
10
00
00
01
11
11
00
10
00
10
11
00
00
11
11
10
01
00
00
10
00
00
10
10
10
11
00
10
10
11
10
01
01
10
01
00
00
10
11
00
00
01
10
00
10
10
00
11
10
00
00
10
10
00
00
11
10
01
00
10
10
00
00
01
10
10
10
00
00
10
11
00
01
10
11
01
01
10
11
01
01
10
00
00
11
10
11
01
01
00
01
10
00
00
10
11
10
10
01
00
10
10
00
00
00
11
10
00
00
10
11
10
00
00
00
01
01
10
10
10
10
10
10
10
01
00
11
10
00
10
01
11
00
11
10
11
10
00
00
00
10
11
00
01
00
00
01
10
10
10
11
01
01
10
10
11
00
00
10
10
01
00
00
00
00
11
01
00
11
00
01
01
01
10
00
10
11
00
10
00
00
01
01
10
10
10
00
11
10
00
01
11
00
10
00
11
00
00
00
11
11
00
10
01
10
11
00
10
00
10
10
00
00
11
00
01
10
00
00
10
00
01
10
11
10
00
00
11
00
11
10
10
11
10
01
00
11
01
10
01
10
10
00
10
10
01
01
10
00
11
00
01
10
10
11
11
11
00
00
11
01
11
10
01
00
00
11
00
01
11
01
01
01
00
10
00
00
11
11
01
00
10
10
10
00
00
10
10
01
01
00
00
00
10
10
00
00
00
10
00
00
00
10
10
10
10
00
11
10
11
10
10
00
00
00
10
10
01
01
00
00
11
00
10
10
10
01
00
10
01
10
01
10
11
00
00
10
10
00
10
10
00
00
11
10
00
10
10
11
11
10
01
00
00
10
10
11
01
00
10
01
00
01
11
11
10
11
00
01
10
10
00
00
10
10
00
01
11
11
00
01
01
00
01
10
10
01
10
00
00
01
10
11
10
00
10
00
01
10
01
01
11
11
10
11
10
00
10
00
00
10
10
00
00
01
10
10
10
10
00
11
11
00
00
00
00
10
10
11
00
00
00
10
11
10
11
10
11
00
10
10
10
00
01
01
11
01
00
11
01
10
00
10
11
11
00
01
10
11
10
10
00
00
00
00
00
10
11
00
10
01
01
10
10
01
10
10
01
00
10
00
01
00
01
10
10
01
00
10
10
10
00
11
01
11
11
11
10
10
10
00
00
10
11
01
00
11
00
00
01
10
10
11
00
00
10
10
10
00
00
01
00
10
00
00
00
10
00
00
00
10
10
01
00
11
11
10
10
10
00
00
11
00
10
00
00
00
10
10
00
10
10
00
10
00
11
00
01
11
10
10
01
11
00
10
11
00
01
01
11
11
00
10
10
10
01
00
10
10
11
10
01
00
10
10
10
00
00
00
10
10
01
01
00
10
01
00
01
11
11
10
11
00
01
10
11
00
10
01
01
01
00
10
11
11
10
00
00
11
00
10
10
00
10
00
11
00
11
10
01
00
00
00
10
11
10
00
00
00
01
11
10
10
10
10
10
10
00
11
10
00
01
00
11
10
10
10
11
00
11
00
00
11
10
11
10
00
10
10
01
00
00
10
11
00
10
01
11
10
01
00
01
10
10
01
00
00
11
10
01
10
10
00
10
01
00
11
00
01
10
00
01
00
00
00
10
11
10
11
01
01
01
10
00
01
00
10
01
00
11
01
10
11
10
10
00
10
10
10
10
00
00
10
10
10
00
01
00
01
00
10
11
10
11
01
00
11
00
00
11
10
10
10
01
10
01
00
10
00
00
00
01
11
10
00
11
00
11
01
01
10
00
00
11
10
01
11
01
11
10
10
00
10
10
00
01
10
01
00
11
10
01
01
10
00
00
10
10
00
00
11
10
10
10
00
10
10
10
10
01
00
10
01
10
11
10
10
01
11
10
10
11
00
00
01
00
10
11
00
10
00
11
01
10
11
00
00
10
10
10
10
11
00
00
11
10
00
00
00
10
00
00
11
00
11
10
10
10
01
00
00
01
11
10
11
11
00
01
00
00
10
00
01
00
11
11
10
00
00
10
01
00
10
10
00
00
10
10
10
01
00
00
10
00
11
00
00
00
00
10
01
10
10
01
10
10
00
10
10
00
10
11
00
00
00
00
00
00
00
10
10
10
10
10
00
11
00
11
01
10
10
10
01
10
00
00
10
01
00
10
00
00
01
11
00
01
00
10
11
01
10
00
00
10
10
00
00
10
10
00
11
01
01
01
11
00
01
10
00
00
00
10
10
00
10
10
01
01
10
01
00
10
11
00
11
10
01
00
10
00
10
01
10
00
00
10
00
10
10
01
11
01
10
10
11
00
01
00
11
11
11
01
11
00
10
10
00
00
10
10
01
01
00
00
00
00
00
01
10
10
00
00
10
01
11
10
10
00
00
11
00
11
00
00
10
10
01
00
10
11
00
00
00
11
00
01
00
11
10
00
10
00
10
00
00
10
10
00
11
00
00
01
00
10
11
01
10
10
00
00
10
10
10
10
00
00
00
11
10
01
00
00
00
11
11
10
01
10
10
01
01
00
11
10
00
01
00
11
00
01
00
01
10
11
11
10
11
00
10
10
01
11
10
01
00
00
10
01
00
10
01
00
11
11
11
10
01
01
00
00
10
10
00
00
00
10
00
00
10
11
10
00
00
10
10
10
00
01
10
01
10
10
10
00
00
01
10
10
01
10
10
10
00
11
11
11
00
11
01
11
10
10
00
00
00
10
10
00
11
10
11
10
10
00
10
10
11
10
00
01
10
01
10
11
00
11
00
00
11
10
01
10
01
01
00
11
00
10
10
00
00
11
10
01
11
10
01
11
11
10
10
10
00
01
10
01
00
01
10
10
10
01
00
10
00
10
01
10
11
00
00
00
00
01
00
11
00
10
11
10
11
10
10
00
01
00
10
00
01
11
01
11
00
01
10
01
10
11
10
00
00
11
00
01
00
10
11
00
10
00
00
10
10
11
00
00
10
00
01
00
10
10
10
00
10
11
00
01
00
11
00
00
10
10
10
00
11
10
10
00
11
11
00
01
01
10
11
01
01
01
10
11
00
10
10
00
00
10
10
01
00
11
01
00
11
00
00
01
10
10
11
00
00
10
00
01
00
10
01
01
01
00
01
10
00
01
01
00
10
00
11
00
11
00
01
10
10
10
01
00
01
01
10
00
10
00
10
00
01
10
00
00
00
00
00
00
11
01
00
01
00
00
10
01
11
01
11
11
01
00
00
10
01
01
10
11
00
00
00
00
01
00
11
10
00
00
00
00
10
10
10
01
10
01
11
01
00
11
01
00
11
10
00
00
10
10
11
11
00
00
11
00
10
10
00
00
00
00
10
11
10
11
00
00
10
11
10
00
01
00
10
10
01
10
10
01
01
11
10
01
10
10
00
00
00
10
10
01
01
01
00
00
10
01
10
01
11
01
10
00
00
10
10
00
01
01
00
10
11
10
11
00
10
00
00
10
00
10
11
11
11
10
11
00
10
00
00
00
10
10
00
10
10
00
10
11
00
00
11
01
11
00
10
01
00
10
10
10
00
00
00
00
10
11
01
00
10
00
10
00
00
10
10
11
01
01
01
11
10
00
00
01
11
11
00
10
10
00
00
11
00
01
10
00
00
10
01
10
10
11
11
11
11
01
01
10
11
00
00
10
10
10
00
00
01
00
10
00
10
00
00
11
01
11
10
10
01
00
11
10
11
00
10
11
00
10
11
00
00
10
10
01
10
00
01
00
10
10
10
00
10
11
10
11
01
01
10
00
10
01
00
00
00
10
01
00
11
10
10
10
11
10
00
10
11
10
11
11
01
00
00
10
00
00
10
10
00
00
00
01
00
11
11
10
11
10
10
01
00
10
01
01
10
01
01
01
10
01
00
11
10
00
00
10
11
11
00
00
11
10
00
10
11
01
10
00
00
10
10
10
10
01
01
00
00
10
00
10
00
11
11
00
00
01
00
01
00
00
11
11
10
11
00
01
10
10
10
10
10
10
00
01
10
00
10
10
00
00
11
10
11
00
11
10
00
11
10
00
01
00
11
00
00
10
10
10
10
11
11
10
11
10
10
00
01
00
00
11
10
11
11
01
01
01
10
10
11
00
01
01
10
11
00
01
11
01
00
10
00
00
10
10
00
10
01
00
10
10
00
00
00
10
00
10
10
10
10
10
10
10
00
01
11
01
11
01
10
10
10
11
10
01
00
00
11
10
00
00
10
10
10
00
00
10
11
10
01
10
10
10
01
00
11
10
00
00
01
01
10
01
00
10
11
00
10
10
01
00
00
00
11
00
10
10
01
00
11
10
11
00
10
01
10
01
11
11
00
01
01
10
10
00
10
10
00
10
01
00
10
10
10
00
00
10
10
10
00
10
01
01
11
10
10
00
10
00
11
10
00
00
00
00
00
10
11
11
11
10
01
10
00
01
11
01
00
11
00
00
00
01
11
10
10
00
11
00
00
10
01
01
00
00
10
11
01
10
11
11
00
10
01
01
10
11
00
01
00
10
11
10
00
00
10
10
00
00
10
01
01
01
10
10
00
00
00
11
01
00
10
00
00
00
11
00
01
10
11
11
10
00
00
00
10
10
01
01
10
10
00
10
00
10
11
10
01
00
00
10
01
00
00
01
10
01
00
00
01
10
11
11
00
00
01
10
10
00
00
10
10
00
01
11
01
00
11
01
00
10
10
01
00
11
10
10
00
01
10
11
10
00
01
00
11
11
00
00
00
11
10
10
00
01
01
10
10
10
10
11
00
11
00
10
10
00
10
01
10
10
00
01
01
10
10
00
01
10
10
01
01
10
00
10
10
10
01
00
00
10
10
11
11
11
11
11
11
10
10
01
00
11
10
00
01
00
10
10
11
01
01
10
10
10
10
10
01
10
11
00
01
10
10
11
00
11
01
01
00
11
00
00
01
10
10
11
11
00
01
00
10
00
00
10
10
00
00
11
11
10
00
10
11
00
10
01
10
00
00
01
10
10
10
00
00
11
00
01
11
00
11
00
10
00
11
10
00
10
10
10
00
00
01
11
10
11
10
00
00
10
01
10
01
01
10
10
10
00
11
00
01
10
10
10
00
00
00
00
01
01
11
01
10
10
01
00
11
11
00
00
10
01
00
00
00
10
00
10
10
00
00
10
01
10
01
10
10
00
00
11
00
10
00
11
10
10
00
00
10
01
00
11
10
01
11
10
10
10
00
01
10
10
11
00
00
00
11
00
00
00
10
00
10
11
00
00
01
00
11
11
00
00
10
11
00
01
10
10
00
10
10
00
00
10
11
01
10
00
00
00
10
10
10
01
00
10
11
10
10
10
10
01
00
11
11
01
00
11
00
10
10
10
11
01
00
10
10
00
00
10
01
01
11
10
00
10
10
00
01
00
10
10
00
01
01
10
11
00
00
10
11
10
00
00
11
00
00
11
00
10
01
11
10
01
00
10
10
01
11
00
00
10
00
00
01
00
00
11
11
11
01
10
10
11
10
11
10
01
00
11
10
10
10
01
01
00
11
10
11
11
00
00
10
10
10
00
00
00
10
10
11
00
00
10
10
01
00
00
00
11
10
10
01
00
10
10
11
11
01
10
00
00
00
01
00
11
10
11
00
11
01
00
00
10
10
00
10
10
00
01
10
10
10
11
00
11
10
10
10
00
00
11
10
01
10
10
00
01
01
10
11
00
11
10
10
10
10
01
10
10
00
00
01
10
11
00
10
00
00
01
11
11
00
00
10
10
01
00
10
00
11
10
10
10
01
00
10
11
10
00
01
11
11
00
00
00
11
11
00
11
11
11
00
10
10
00
00
10
00
10
11
00
00
00
00
10
10
11
11
10
01
10
01
00
10
10
00
11
11
10
00
00
00
10
10
10
00
01
10
10
10
10
00
00
00
10
00
00
10
10
01
00
10
10
10
00
11
00
01
10
00
00
10
00
10
00
10
01
00
00
10
10
01
00
00
10
01
10
01
00
11
11
00
10
10
01
00
11
00
00
10
10
00
00
10
11
10
00
11
10
10
10
00
00
00
00
10
01
00
01
00
00
00
10
00
01
00
11
10
10
00
10
00
01
10
10
10
10
01
11
00
00
00
11
00
01
11
10
10
01
01
01
01
01
00
01
00
11
10
11
00
01
10
10
10
01
01
01
11
10
10
11
00
01
10
10
11
00
01
10
10
00
00
01
00
10
11
10
01
00
10
10
00
10
10
10
00
10
00
11
11
01
10
01
00
00
00
00
11
00
11
10
11
00
00
11
01
11
11
00
00
01
10
00
10
10
00
00
00
10
10
01
00
00
00
00
11
00
11
10
10
01
00
10
01
00
10
10
10
10
00
10
00
00
00
10
10
10
00
10
10
11
10
11
01
10
10
00
10
01
11
11
01
00
10
11
10
10
01
00
10
10
00
01
10
01
00
00
11
00
00
10
00
01
11
10
01
00
11
11
01
10
10
10
01
11
01
00
11
01
01
11
11
01
01
10
01
10
01
01
00
10
00
01
11
10
10
01
11
10
00
01
01
11
10
10
00
11
10
00
01
11
11
10
00
10
10
10
00
00
10
00
11
11
01
10
11
11
00
00
10
10
01
00
10
01
10
10
10
00
00
11
11
10
00
00
10
10
10
10
00
10
00
01
10
10
01
10
11
10
00
01
10
01
00
00
11
10
10
01
10
10
11
00
00
00
10
01
10
11
00
11
00
11
10
00
10
00
10
10
01
00
01
10
10
01
10
01
00
10
11
00
10
00
11
10
10
00
10
10
10
00
00
11
01
00
10
01
10
10
01
10
10
00
10
01
11
10
00
00
10
00
01
10
10
10
11
00
10
00
11
01
11
00
00
11
10
00
00
10
10
10
00
00
11
11
00
01
00
10
10
01
11
11
01
01
00
11
00
00
11
10
00
00
01
10
01
01
11
00
00
10
00
10
10
11
00
01
00
00
00
10
00
00
10
10
11
01
00
10
10
00
00
01
11
10
10
00
11
10
01
10
10
11
00
00
11
00
00
11
10
10
11
01
00
00
00
01
01
11
10
11
10
11
10
00
11
10
00
10
11
00
11
00
10
01
00
11
10
01
00
00
10
10
01
01
10
11
00
10
10
00
00
10
01
00
11
00
11
10
10
10
00
00
10
11
01
11
01
01
00
10
10
01
00
01
10
10
10
00
00
10
10
10
10
10
01
00
00
01
10
10
11
10
00
10
10
00
00
10
00
10
00
00
01
00
00
00
10
00
00
10
10
10
00
01
00
11
00
01
10
11
10
10
10
00
01
00
10
10
10
01
10
10
11
10
01
11
10
01
00
10
10
11
01
01
00
10
11
00
10
00
11
10
00
00
00
11
00
10
10
00
10
10
11
01
01
10
11
10
11
00
00
00
10
00
01
10
00
10
01
10
10
10
00
10
11
10
11
10
10
00
00
10
10
11
01
00
00
00
11
10
00
00
10
10
01
10
00
00
11
00
11
10
00
10
10
01
01
10
10
00
11
10
00
01
11
10
01
10
01
00
01
00
11
01
00
00
10
10
10
11
00
01
00
00
10
01
00
11
00
11
11
10
10
00
01
00
11
11
11
00
01
00
10
11
00
10
00
10
01
10
10
00
10
11
10
01
00
00
10
10
01
10
01
00
10
10
10
00
10
11
00
00
01
10
11
00
11
11
00
00
11
10
01
00
10
10
11
10
01
11
10
01
00
01
10
01
00
10
10
00
10
01
01
11
11
00
01
00
10
01
00
11
00
11
10
11
01
00
10
11
10
10
11
01
11
01
00
00
10
00
00
11
10
10
00
01
00
00
11
10
10
11
01
01
00
10
10
11
01
00
10
10
00
01
11
10
00
00
10
00
10
10
00
01
11
00
01
00
10
00
00
10
00
10
11
01
00
01
10
10
11
00
00
01
11
11
10
00
10
10
00
01
10
11
00
00
10
10
00
10
10
01
01
00
10
00
10
00
00
11
11
00
11
00
10
00
10
10
01
00
00
10
00
10
00
10
11
00
00
00
11
11
01
00
11
01
00
10
10
11
01
01
10
10
00
10
10
00
11
00
10
01
00
10
00
10
10
10
00
10
10
00
00
11
00
00
10
01
00
11
00
01
10
01
10
10
10
00
11
10
00
00
00
11
10
00
00
10
10
11
10
01
00
00
00
00
10
10
00
00
11
00
00
10
00
01
00
11
10
01
00
10
10
10
01
10
11
01
00
00
11
00
11
01
00
10
10
10
00
10
10
00
00
10
10
00
10
00
01
11
10
10
01
10
00
10
00
00
00
11
11
10
01
11
11
00
00
00
00
11
11
10
00
10
00
00
00
00
11
10
00
00
11
10
01
10
10
11
00
10
10
00
10
00
00
10
10
00
00
11
01
11
01
00
10
10
00
00
11
10
00
01
00
11
10
01
00
00
11
10
11
01
11
11
10
10
00
00
00
00
00
10
10
00
10
01
00
01
10
10
10
10
00
00
10
10
10
00
00
10
00
10
10
10
00
00
00
00
00
10
10
10
00
11
10
00
10
11
00
00
10
11
00
11
01
00
10
01
10
00
10
10
10
01
11
11
00
00
00
11
10
11
11
00
10
10
11
11
00
00
01
01
10
10
10
10
01
00
01
00
10
10
00
11
01
00
11
10
11
00
00
10
00
11
11
00
00
00
11
01
11
01
00
11
00
10
00
00
10
00
10
10
10
10
10
00
00
10
01
10
10
10
10
01
00
11
01
00
10
10
00
00
00
11
00
00
10
01
10
01
00
01
10
10
00
10
00
00
10
11
10
11
11
00
10
11
10
01
00
10
10
00
10
11
00
11
10
00
11
00
10
11
10
00
00
00
10
11
01
01
00
10
00
11
10
10
00
00
10
10
00
00
11
01
10
01
11
10
01
11
10
01
00
11
11
11
01
00
10
11
00
11
00
10
11
11
00
01
00
10
01
00
11
00
01
10
10
10
00
00
00
00
10
01
10
11
10
00
10
00
10
11
00
01
00
11
11
10
10
00
00
11
00
01
00
10
11
00
10
10
00
01
01
01
01
11
11
11
00
01
01
11
10
00
00
00
01
11
11
01
10
11
00
00
10
11
00
10
10
00
00
01
10
01
10
00
10
00
11
10
10
01
00
11
00
10
01
01
00
11
01
01
11
01
11
10
11
00
01
00
10
10
01
00
10
11
01
01
01
11
01
00
11
10
00
10
11
01
00
10
10
10
00
01
10
10
10
00
11
00
11
00
01
00
10
11
11
01
01
00
10
11
00
00
10
11
11
10
00
00
00
10
00
10
01
00
01
11
01
11
11
00
01
10
10
10
10
01
00
10
10
00
10
00
00
00
00
11
11
10
11
01
00
00
00
10
11
11
00
00
11
10
00
00
01
01
10
10
11
10
00
01
10
10
01
00
01
10
10
00
11
10
01
00
10
00
10
10
00
00
10
01
10
10
01
00
10
11
00
11
00
10
00
10
10
00
00
00
01
10
01
10
10
10
00
10
10
00
00
01
10
00
10
11
01
01
10
11
11
00
11
10
01
01
01
00
01
10
11
10
01
10
01
00
10
00
10
01
00
00
00
10
10
01
00
10
10
10
01
11
10
00
00
10
00
00
10
01
00
10
10
10
00
11
00
11
10
00
11
11
00
10
00
01
01
00
01
10
01
10
01
00
00
00
10
11
00
00
10
01
10
10
11
10
00
00
10
00
00
00
10
00
10
10
01
00
01
00
10
00
00
00
10
10
10
01
00
11
10
10
00
10
10
10
11
10
10
00
10
10
10
01
01
00
10
11
01
00
10
10
01
10
10
00
10
01
00
10
01
10
11
00
00
10
00
10
10
10
00
10
11
01
10
10
00
00
10
11
01
01
10
11
10
10
11
10
10
00
01
11
00
01
10
10
00
10
10
10
01
00
10
00
11
00
10
11
10
01
11
01
00
00
11
10
00
00
10
11
01
00
11
01
10
10
00
11
01
01
11
00
00
00
11
10
10
00
00
11
10
11
10
10
00
00
00
11
10
00
10
10
00
00
10
00
00
00
00
11
00
10
10
00
01
10
00
01
10
00
01
10
11
10
00
00
01
10
00
10
10
10
01
00
10
11
10
01
00
00
00
10
00
00
00
11
10
01
10
00
11
10
00
10
10
00
10
00
00
00
11
00
10
10
01
00
01
10
11
00
11
10
01
01
00
10
10
01
01
00
10
11
01
01
00
01
10
11
10
01
10
00
10
00
11
11
10
00
10
00
11
11
10
00
00
11
00
00
11
11
10
10
00
00
00
10
00
00
00
10
10
01
00
10
11
11
11
00
10
01
01
11
00
00
10
10
10
11
10
00
10
00
00
01
10
10
01
00
11
01
10
00
10
10
11
00
11
10
11
00
00
10
00
10
10
00
00
10
01
10
10
10
11
11
01
11
11
01
11
11
00
10
10
00
11
11
00
01
10
10
10
00
11
00
10
10
10
10
10
00
00
10
11
00
00
00
01
10
10
01
10
11
10
10
00
11
10
11
00
01
10
11
10
00
01
10
10
01
01
00
00
10
11
10
11
11
00
10
10
10
01
01
01
01
11
11
10
11
01
10
10
00
00
10
00
00
11
11
01
10
00
00
00
00
00
11
11
11
10
01
00
00
10
00
01
10
10
10
10
01
10
10
01
10
01
00
10
10
00
00
10
00
00
11
10
11
01
00
00
00
01
00
11
11
00
00
10
00
11
00
00
00
10
01
11
11
10
11
10
10
10
11
00
00
10
01
11
10
10
01
10
10
10
01
00
00
10
10
10
10
01
00
11
00
11
10
10
00
00
11
01
00
01
00
00
10
11
11
10
11
01
10
10
00
00
00
01
10
10
10
10
00
01
10
10
10
10
10
10
10
00
10
10
10
00
00
11
10
00
10
11
10
00
10
10
00
11
10
01
00
10
11
10
01
11
10
00
11
10
01
11
10
00
00
11
10
00
00
00
10
00
10
00
11
11
00
10
10
11
10
10
11
00
00
01
10
11
10
00
10
00
00
00
10
00
10
10
00
11
10
00
00
10
01
10
00
01
01
00
10
10
01
01
00
11
00
00
11
11
11
10
01
00
10
01
11
11
00
00
10
10
00
00
11
10
00
00
01
00
00
11
10
01
10
00
00
10
00
10
00
01
10
11
00
01
01
11
11
00
00
10
10
00
01
10
10
10
00
10
10
10
00
01
10
01
00
01
11
01
10
00
00
11
11
01
00
10
01
11
00
00
11
00
01
00
10
11
10
00
00
01
10
00
10
10
00
00
00
01
10
00
11
00
00
10
00
10
10
00
11
10
01
10
00
00
00
00
10
10
00
00
10
00
00
11
00
10
11
10
10
00
00
11
01
00
11
10
00
00
10
01
01
10
10
01
00
10
01
01
00
01
01
10
10
10
00
00
11
10
00
00
11
00
00
11
10
10
10
10
01
10
01
00
11
00
11
01
00
10
00
10
11
00
10
10
01
00
00
01
00
01
00
10
10
00
10
11
00
11
10
00
01
00
10
11
10
01
10
10
00
10
00
01
10
10
10
00
10
01
10
10
11
10
10
10
11
01
01
10
10
00
01
00
10
10
00
00
11
00
00
01
10
10
00
00
10
01
00
10
10
01
10
00
00
00
10
10
00
01
00
11
00
11
01
10
10
00
01
11
00
10
10
10
10
00
00
00
00
00
10
10
00
11
00
00
00
01
10
01
11
11
01
00
10
11
00
11
10
01
00
10
10
01
00
11
00
00
11
11
10
00
10
11
01
00
10
01
11
11
10
00
10
11
01
11
00
00
10
01
11
10
00
01
10
11
00
10
11
00
00
01
10
10
10
11
00
11
00
01
10
10
10
00
11
11
10
00
10
10
00
11
00
00
11
11
10
01
00
00
11
11
00
00
10
10
10
00
11
10
00
00
00
10
01
10
10
10
00
01
10
01
10
01
00
00
00
10
00
00
01
10
11
00
00
01
11
11
00
11
11
10
01
11
10
00
10
11
00
00
00
10
00
00
10
10
11
01
00
10
10
11
11
11
01
00
11
00
00
00
11
10
00
10
10
00
00
10
11
00
10
11
10
10
11
11
00
11
01
00
00
11
10
00
00
01
11
00
11
10
00
00
01
00
10
10
00
10
10
10
01
01
11
01
00
01
10
10
00
10
10
10
00
01
01
10
11
01
01
00
00
00
10
11
00
10
11
00
10
10
11
10
11
00
01
11
00
00
00
10
10
00
00
11
10
10
01
01
10
11
00
11
00
10
01
00
10
00
10
10
10
00
00
11
11
10
11
00
10
10
00
00
00
01
10
00
01
00
11
10
00
10
10
00
01
01
11
00
10
11
11
10
11
01
11
11
00
01
11
11
01
01
00
11
11
10
10
00
10
10
00
01
00
00
10
10
01
10
10
10
00
10
00
01
10
10
01
00
00
10
11
00
10
01
01
10
00
00
10
10
10
00
01
00
01
00
01
10
10
10
00
10
11
10
00
11
10
11
10
01
10
10
00
01
10
11
00
11
10
10
10
00
00
00
10
10
01
11
10
00
01
11
00
11
00
00
10
11
00
00
01
11
10
01
11
00
10
11
00
11
00
00
10
10
01
10
00
01
00
10
00
00
10
11
11
11
01
01
00
10
10
01
01
10
11
00
01
10
00
01
00
11
11
01
10
01
00
00
11
10
11
00
01
11
01
00
10
00
00
11
01
10
10
10
11
00
00
00
10
10
10
00
01
01
11
10
11
10
10
00
11
10
00
11
11
00
10
10
00
00
11
00
00
01
10
00
00
10
11
10
00
01
10
00
00
10
00
10
10
00
00
11
00
11
01
11
00
10
10
00
10
11
00
00
01
00
00
11
00
10
00
00
00
00
10
10
10
00
01
00
10
10
01
00
11
00
00
10
00
00
00
01
10
10
11
11
10
11
10
00
00
10
01
00
10
10
10
00
10
00
00
11
01
00
00
00
00
11
01
10
00
00
01
00
00
10
10
10
10
00
10
00
01
00
00
11
00
01
10
10
11
00
01
00
10
10
01
01
10
10
11
01
11
10
00
00
00
00
10
10
00
10
00
10
10
10
00
10
00
00
10
00
00
00
00
01
00
10
00
11
11
00
01
00
11
10
00
11
01
01
00
01
01
11
10
01
11
11
10
01
11
10
10
01
10
01
00
10
00
10
10
11
00
01
10
11
11
10
11
00
00
10
11
00
00
11
10
10
10
10
10
00
00
10
11
11
01
01
10
11
00
01
01
11
11
01
10
10
00
10
00
01
10
10
00
10
11
10
00
01
00
10
10
00
01
11
11
10
11
01
00
00
11
00
10
10
00
10
11
00
11
10
00
00
11
10
00
11
10
10
00
11
10
01
00
11
10
10
10
00
00
01
10
11
00
10
00
10
10
00
10
10
10
00
01
11
00
10
10
11
10
11
00
00
10
01
10
10
01
00
10
10
01
01
01
11
00
01
00
10
00
10
10
00
01
11
10
10
00
10
00
00
00
10
11
11
00
11
00
00
10
01
01
01
10
10
10
00
00
00
00
11
01
00
01
10
10
00
10
01
00
10
11
01
00
10
11
10
10
10
11
00
00
01
11
00
10
00
00
00
11
10
10
10
10
11
11
01
00
10
11
00
00
01
11
11
10
11
00
11
10
10
10
00
00
11
10
00
11
11
00
10
00
00
00
01
10
10
10
10
10
11
10
11
00
00
00
00
00
11
00
00
00
00
00
00
10
11
01
01
10
10
00
00
00
11
10
10
10
11
11
11
00
00
01
10
00
10
00
00
10
10
01
00
10
10
00
11
11
11
11
10
00
00
11
01
01
00
00
11
00
00
11
10
01
01
10
00
10
01
00
11
11
00
10
01
11
10
10
00
10
00
00
10
10
10
00
01
10
00
01
10
10
10
00
00
10
01
11
00
00
00
11
10
10
10
00
11
01
11
00
00
11
10
00
00
10
10
00
10
10
01
00
10
00
00
11
00
00
11
01
11
01
00
01
00
10
10
11
10
00
10
10
00
00
11
10
00
00
00
10
10
01
10
10
00
01
00
11
11
10
10
00
11
10
11
00
11
11
01
10
00
10
01
10
01
11
10
00
01
00
00
10
10
10
01
01
01
01
10
11
00
00
11
00
00
10
11
10
11
01
10
01
10
11
00
00
10
01
10
11
00
00
00
11
10
00
00
10
01
00
01
10
11
00
01
01
10
00
01
11
11
00
00
10
10
01
10
00
01
00
10
10
00
10
00
11
10
01
00
10
00
00
00
00
11
10
01
00
10
11
00
10
00
10
10
10
10
10
00
10
10
00
00
10
00
11
00
10
10
00
11
10
00
10
10
11
01
00
11
00
11
01
11
10
00
01
00
11
00
10
01
00
10
00
00
11
10
00
11
11
00
00
00
10
10
10
00
10
10
10
10
11
01
00
11
10
01
00
10
11
00
10
10
00
01
10
01
01
11
00
00
10
10
01
00
00
10
10
00
10
10
00
00
10
10
11
00
11
01
10
00
00
10
01
01
10
00
00
10
01
10
10
10
11
01
00
10
10
00
00
00
10
10
01
00
11
00
01
00
10
00
00
10
11
01
00
11
10
11
10
01
10
10
00
01
10
11
01
11
00
10
01
00
00
00
01
10
10
10
11
10
01
10
11
00
01
10
00
00
10
10
00
11
10
00
00
10
00
10
10
00
10
00
01
10
11
00
00
01
10
01
00
10
11
00
11
00
00
11
01
10
01
01
10
01
01
10
10
10
01
01
10
10
01
00
10
11
10
00
00
00
10
10
01
00
00
01
01
00
10
00
00
01
10
10
11
11
00
01
10
00
11
11
00
00
00
10
00
00
11
00
10
10
11
10
00
00
11
10
00
11
11
01
01
11
01
00
10
00
10
10
01
00
10
10
00
10
00
01
10
01
00
10
00
10
00
01
10
10
10
00
10
00
01
10
00
01
10
10
10
00
10
10
10
00
11
10
10
01
01
10
11
01
01
11
11
10
10
10
00
00
00
00
10
10
10
10
01
10
10
00
10
11
10
00
01
10
00
00
00
10
10
00
01
10
01
10
10
01
11
10
00
00
10
11
10
11
00
10
11
00
10
00
11
10
10
00
00
10
10
11
10
10
00
10
01
10
01
01
01
01
11
00
10
11
01
00
10
10
10
10
01
00
00
10
11
10
01
11
11
00
10
11
01
01
10
01
10
00
00
11
10
00
10
10
00
00
10
10
10
00
00
10
10
00
00
10
10
01
00
10
00
00
00
10
00
00
00
10
01
00
11
11
10
00
11
10
10
10
01
00
11
10
10
10
10
01
01
10
10
10
00
10
10
00
00
00
00
10
11
00
11
00
11
00
00
00
10
00
01
11
10
00
10
10
00
11
10
11
00
00
11
00
01
01
10
10
00
00
10
10
00
00
10
11
11
00
10
10
00
10
10
11
01
10
10
10
00
01
10
10
10
00
01
00
01
00
01
10
10
01
01
10
10
00
11
10
10
00
00
10
01
00
01
10
10
00
10
00
01
10
10
00
01
10
10
10
10
00
00
10
11
11
00
10
10
10
01
10
11
01
00
00
10
00
00
11
00
10
11
01
11
00
10
00
01
11
10
11
00
10
00
11
11
10
10
00
10
10
01
01
11
01
00
11
10
11
00
01
11
10
00
00
01
11
10
01
10
00
10
11
10
10
10
01
01
10
01
10
10
01
10
10
00
10
11
10
01
00
10
00
01
00
10
00
00
11
00
10
10
10
10
01
01
01
10
11
11
11
01
01
00
11
10
01
10
10
01
01
10
10
11
01
00
00
10
00
11
10
01
01
11
10
10
10
11
11
01
00
00
00
10
11
00
11
10
00
10
00
10
00
10
10
01
01
11
11
11
10
11
00
01
00
00
11
11
00
11
11
01
00
00
11
11
10
01
00
10
01
01
00
11
11
01
10
10
01
10
10
11
10
00
00
00
00
00
11
11
01
00
10
11
01
00
01
10
11
11
01
01
00
00
10
01
00
00
10
00
00
10
10
10
01
00
10
00
00
00
10
10
10
10
00
01
10
10
00
00
10
00
01
11
00
01
10
00
01
00
01
10
10
00
01
10
11
01
10
00
10
11
11
00
10
10
00
10
10
01
00
11
10
01
00
00
00
00
11
11
00
00
00
01
10
10
10
00
00
10
10
10
11
00
11
11
01
01
10
10
00
10
10
00
01
10
00
10
00
00
10
10
00
10
10
10
10
10
10
00
11
00
10
01
00
10
10
10
10
10
01
10
11
00
11
00
10
01
11
10
01
10
11
00
00
01
01
01
10
10
10
00
11
10
01
01
00
10
00
00
00
00
10
10
10
00
10
00
00
01
01
01
01
10
01
00
01
11
01
10
10
10
11
11
00
00
10
10
00
00
10
01
00
01
00
10
01
10
10
10
10
00
10
11
10
11
01
01
10
10
01
00
00
10
10
01
10
00
00
10
10
00
01
00
10
10
00
10
11
01
11
01
01
10
00
10
11
10
10
01
00
00
10
00
00
00
00
00
11
10
10
00
10
11
00
00
11
10
10
01
00
10
00
01
10
01
01
11
00
00
00
10
00
00
11
00
10
10
00
10
00
00
01
11
11
11
10
00
00
11
01
00
10
10
10
11
00
00
11
10
10
01
10
10
00
01
10
11
10
10
10
00
00
00
00
10
00
11
10
00
01
00
00
00
10
10
10
00
11
11
00
00
00
10
10
10
10
00
00
10
01
10
00
01
01
00
00
00
10
00
01
00
00
00
01
10
10
00
01
10
10
00
11
10
10
10
10
01
11
10
00
00
10
01
10
10
00
11
10
11
00
00
10
11
01
00
10
11
10
01
10
10
10
10
00
00
10
10
11
10
11
10
10
01
10
01
01
01
10
10
10
00
01
00
00
11
11
00
10
00
10
01
00
10
11
00
00
00
01
11
00
00
10
10
10
00
00
00
10
11
00
00
00
10
11
00
11
00
00
10
01
11
11
10
01
10
00
00
10
00
00
01
00
10
00
11
01
11
10
11
00
00
00
00
10
10
10
01
00
10
00
10
01
10
01
10
01
01
10
10
00
00
10
10
00
10
11
00
10
00
00
11
11
00
10
10
00
10
10
01
00
11
10
11
11
00
10
11
01
11
11
00
00
11
10
10
10
00
00
00
11
01
00
00
11
10
00
10
10
00
10
00
00
00
00
10
10
00
00
10
11
10
11
10
01
01
10
10
00
10
10
10
01
00
01
10
00
00
00
00
10
00
01
10
00
11
00
01
10
00
10
01
01
01
10
10
00
00
00
01
00
10
10
11
10
01
00
00
01
00
00
10
00
00
01
11
00
11
10
00
10
10
11
11
11
01
10
00
01
11
00
00
11
10
00
00
11
10
00
10
00
00
10
00
00
10
00
00
00
11
00
11
00
01
00
10
00
10
10
00
00
11
00
10
10
11
11
01
00
11
10
01
01
10
10
00
00
01
00
00
11
10
01
00
10
00
10
10
10
11
00
00
11
00
00
10
10
11
10
00
00
10
00
00
11
11
10
11
01
10
10
10
01
01
11
11
10
00
10
00
10
00
00
00
00
00
10
10
10
01
10
10
01
00
00
00
00
00
00
11
01
11
11
01
01
10
01
10
10
00
10
00
01
11
10
10
00
00
10
00
00
01
00
10
11
01
10
01
10
11
10
00
01
11
10
01
00
10
01
10
00
00
10
00
10
01
10
10
11
10
10
10
00
01
10
01
01
10
11
00
00
00
10
10
01
01
10
00
10
10
10
10
00
00
00
11
10
01
00
00
00
10
01
01
10
01
01
00
10
11
10
01
10
10
01
10
00
00
00
11
10
10
10
10
10
11
00
00
00
01
10
10
00
01
10
10
10
10
00
10
01
10
10
00
11
11
10
01
10
10
00
10
11
11
10
00
01
10
01
00
00
11
11
01
01
01
11
00
00
11
10
01
01
11
11
10
10
10
10
00
00
10
10
10
01
00
00
00
11
11
00
00
11
00
00
10
10
00
11
10
00
10
10
00
10
10
01
10
11
00
10
11
10
10
00
00
00
00
00
11
01
10
01
01
00
00
00
01
00
11
10
10
11
11
00
10
01
00
00
10
11
10
11
00
10
00
11
00
11
00
01
10
10
01
00
00
11
00
00
10
01
10
10
10
00
11
10
11
10
11
10
10
10
00
00
00
10
10
11
00
01
01
11
10
00
11
10
10
00
01
10
11
00
00
00
10
01
10
10
00
01
10
11
00
01
10
10
10
11
11
01
00
10
00
00
00
10
00
00
00
10
10
01
11
01
00
11
00
11
10
01
00
10
10
00
10
10
11
01
00
11
01
00
01
10
10
11
10
01
00
00
11
00
10
10
00
10
10
10
00
01
10
00
00
11
10
01
10
00
11
01
01
10
00
00
10
11
10
00
10
10
10
10
11
11
10
00
00
10
10
00
00
11
01
01
00
10
11
10
10
10
00
00
11
11
11
00
01
11
11
10
00
00
00
10
10
01
00
10
01
01
00
10
10
01
01
11
00
11
01
11
00
00
01
10
00
10
10
11
10
10
01
10
10
00
10
11
00
10
00
00
11
10
00
01
11
10
00
01
00
00
10
10
00
00
00
11
10
00
00
00
01
00
11
00
10
01
11
10
10
00
00
10
00
10
00
00
10
00
11
11
01
10
01
01
01
00
11
01
01
10
00
00
10
10
00
10
11
01
01
11
10
01
00
01
11
00
00
10
10
10
11
00
00
10
00
10
00
10
00
00
11
00
00
10
11
00
10
01
01
10
10
10
00
01
00
11
10
01
01
11
10
10
00
00
10
11
11
10
00
11
01
00
01
00
00
11
01
11
10
00
00
00
00
00
11
10
10
10
10
00
10
00
00
11
10
10
00
11
10
10
11
00
00
00
11
10
11
00
01
00
11
10
11
10
10
00
00
10
00
10
10
10
10
01
00
00
00
00
01
11
01
10
10
10
01
11
11
10
01
11
11
00
01
00
11
00
00
11
10
01
00
00
10
00
10
01
10
01
10
00
00
10
10
00
00
11
00
01
01
11
10
11
00
11
01
01
10
01
00
10
11
01
10
10
01
00
11
00
01
11
10
00
10
10
10
00
00
10
11
00
10
10
10
10
01
10
10
10
10
00
10
00
01
10
00
11
00
10
00
11
10
11
01
00
00
01
10
10
00
01
00
10
10
00
00
11
10
11
00
11
00
10
00
11
00
01
00
11
10
00
01
10
11
11
00
01
01
10
00
00
10
11
10
01
11
10
11
10
00
10
00
11
11
00
01
00
10
10
10
10
00
10
01
10
10
00
01
00
01
10
00
10
00
00
11
01
01
11
00
01
11
10
00
10
11
00
00
11
10
11
10
00
11
00
00
10
00
01
10
00
10
00
10
11
00
00
00
10
01
00
00
10
11
11
00
00
10
10
00
00
00
00
00
11
11
10
00
00
11
10
10
10
10
00
00
00
00
10
10
01
00
00
11
00
00
10
01
00
01
00
11
10
00
00
10
10
00
00
10
10
01
00
11
11
10
00
00
01
00
00
00
11
01
01
10
01
10
11
00
10
00
00
11
10
01
10
01
00
01
10
11
10
01
00
10
10
01
01
10
11
01
01
11
11
11
00
00
10
01
00
10
00
01
11
11
10
01
00
10
10
00
11
10
10
10
01
10
11
00
11
00
01
10
00
10
00
00
00
10
10
01
01
11
01
10
10
00
10
01
00
10
11
11
10
10
11
00
10
00
11
10
00
00
01
10
10
10
00
10
10
01
01
11
10
00
10
11
01
10
10
01
10
00
10
11
00
01
10
01
11
11
11
00
10
11
01
01
00
00
10
10
01
11
10
01
11
11
00
00
10
10
10
00
01
10
10
00
00
00
00
10
00
11
10
00
00
11
00
11
10
00
10
10
00
10
00
00
10
11
10
00
00
00
11
10
11
10
10
10
10
11
00
11
10
01
00
10
00
00
01
10
11
01
00
00
00
00
10
11
10
11
10
01
10
01
10
01
11
10
00
00
01
00
01
10
10
00
00
10
11
00
00
10
01
00
10
00
00
10
11
10
00
10
10
11
10
10
00
00
00
10
10
11
10
01
11
00
10
00
00
10
01
00
11
00
10
00
11
00
00
01
11
00
11
11
00
10
01
10
10
00
00
10
10
10
00
11
10
10
00
10
10
00
01
01
01
10
00
00
11
10
00
10
11
00
00
11
10
00
10
10
00
00
10
00
10
10
01
00
00
00
11
10
01
01
01
10
00
10
10
00
00
10
11
00
00
00
10
10
01
01
01
10
10
00
10
00
10
00
11
10
10
10
10
10
10
00
00
01
10
00
11
00
10
00
11
01
11
11
00
10
11
01
11
10
00
00
00
00
10
10
01
00
11
10
10
11
10
00
10
00
00
10
00
00
10
10
10
11
00
00
00
01
10
10
11
10
00
00
10
11
11
00
10
11
10
01
01
00
00
00
01
10
00
00
10
11
00
00
00
10
00
00
00
10
00
00
10
10
10
00
10
10
00
00
10
01
10
01
11
10
01
10
00
10
10
10
10
00
00
10
01
01
10
10
10
10
10
10
00
00
11
00
10
10
11
10
00
00
10
00
01
00
01
10
00
11
11
00
01
00
10
10
11
10
01
00
10
00
00
01
00
01
11
10
01
01
11
10
10
00
01
10
11
11
00
00
10
01
00
10
10
10
00
10
11
00
00
10
10
00
10
01
00
01
01
00
10
11
10
01
00
10
11
01
01
11
11
00
10
11
01
00
00
10
01
01
10
10
10
00
00
00
10
10
10
01
10
01
11
00
01
10
00
01
10
11
10
10
10
11
00
00
11
11
11
10
10
11
11
01
00
01
10
11
10
10
11
01
00
11
00
00
11
00
01
11
11
00
11
00
10
11
11
10
01
00
01
10
11
10
00
00
11
01
00
10
11
10
10
11
01
01
00
11
10
00
01
10
11
01
00
11
10
00
10
10
01
00
01
10
10
10
11
00
10
00
10
00
10
10
00
11
11
01
10
10
00
01
10
00
10
11
11
10
10
00
10
11
00
10
00
10
11
10
00
00
00
00
00
10
10
00
10
11
00
00
00
10
11
00
10
10
10
00
00
01
10
11
01
00
01
01
11
01
10
10
10
00
00
00
10
10
11
11
00
11
00
01
11
00
01
01
11
10
00
10
10
10
01
01
11
11
10
10
10
11
00
00
10
10
00
01
10
00
10
00
10
10
00
11
01
11
00
11
10
01
00
11
10
01
01
10
10
00
01
00
01
11
11
11
00
01
00
11
11
10
00
00
01
01
10
10
11
00
00
00
00
10
00
11
11
11
10
00
10
10
11
11
00
00
10
10
11
01
11
11
00
11
00
00
10
11
00
01
10
10
01
10
10
01
10
00
00
10
10
01
10
11
00
00
10
10
10
00
00
10
00
10
11
00
00
10
11
10
10
10
11
00
00
01
00
11
00
11
11
10
10
01
00
10
00
01
11
00
10
10
10
00
00
11
10
00
10
01
10
10
10
10
00
10
00
00
00
00
10
00
00
00
11
11
00
10
00
10
10
00
11
10
00
11
00
00
00
10
11
10
00
00
10
00
10
10
00
11
00
01
00
00
00
10
11
10
00
00
00
10
01
00
11
00
00
10
11
10
01
10
10
01
10
01
01
10
00
00
10
11
00
00
11
10
11
00
00
10
00
00
10
10
10
00
00
10
10
11
01
00
10
01
10
11
01
00
00
10
10
11
10
00
00
00
11
10
11
10
11
00
01
10
00
11
10
10
00
10
11
10
00
00
01
01
00
00
01
01
10
10
10
10
11
11
00
10
10
00
00
10
00
11
10
00
00
00
00
11
00
00
00
10
10
00
00
10
10
01
10
00
10
11
01
10
01
10
10
00
00
10
10
10
00
10
01
00
01
00
00
00
11
10
11
10
10
00
00
01
00
10
00
11
10
00
11
01
10
00
00
01
00
00
10
11
01
00
11
00
00
10
10
10
00
10
10
01
10
10
10
00
11
10
01
00
01
00
11
10
00
10
01
00
11
00
10
10
00
00
10
00
01
11
00
00
00
11
00
11
00
11
10
10
01
10
11
00
11
10
01
00
10
10
00
10
10
00
01
01
00
00
11
00
01
10
10
10
00
00
01
10
11
10
10
00
01
11
10
10
00
00
00
01
10
10
00
00
11
00
01
10
00
11
00
01
11
11
00
01
11
01
01
10
11
01
00
11
00
00
10
00
00
10
10
10
10
00
10
00
11
10
00
11
01
00
11
11
00
10
10
00
01
00
00
10
10
11
10
11
00
10
11
00
01
10
10
01
10
11
10
00
00
10
10
00
01
11
11
01
11
00
00
00
00
00
10
10
01
10
10
10
01
10
11
10
00
01
10
10
01
01
11
11
00
00
00
01
11
11
00
00
00
00
00
10
10
00
00
01
01
01
10
10
10
00
10
00
01
10
11
10
11
00
00
10
10
11
11
10
00
11
00
00
01
11
10
10
10
01
10
00
00
00
10
10
01
00
11
00
00
00
01
10
11
10
10
00
10
00
01
11
10
00
00
10
10
10
11
10
10
11
01
00
00
00
10
11
10
01
00
10
10
10
10
00
11
10
00
10
00
10
11
11
01
10
00
00
00
11
10
00
11
10
10
01
11
11
11
01
10
00
00
00
11
11
00
10
10
01
10
01
00
00
11
01
00
00
10
11
00
00
10
00
00
00
10
10
11
01
10
01
11
11
10
10
01
11
10
00
10
10
10
00
00
00
01
11
10
10
10
10
10
00
01
00
11
10
10
00
11
10
00
10
11
01
10
11
00
00
01
10
11
01
00
11
10
11
01
00
11
00
01
00
00
11
01
10
10
10
00
00
10
00
00
00
11
10
00
10
01
10
01
01
10
11
10
00
01
11
00
11
10
00
01
01
00
00
11
10
11
10
11
10
10
00
00
00
10
01
01
01
11
00
00
11
00
00
00
10
11
11
01
01
11
00
00
10
00
01
10
11
00
11
10
11
00
00
10
11
00
00
01
11
01
11
00
10
00
00
00
10
11
10
10
10
01
11
00
10
10
00
01
11
00
10
10
11
00
00
00
00
11
10
00
11
00
10
01
10
01
10
11
00
10
00
00
00
10
10
00
00
00
01
11
00
10
00
00
10
10
00
00
10
00
10
10
00
10
10
00
00
10
00
11
10
01
00
00
11
10
11
00
00
10
11
01
00
01
10
00
10
00
10
11
00
01
00
11
11
01
10
01
00
10
00
00
11
00
00
11
11
01
10
01
00
10
00
10
10
00
00
00
10
11
00
10
10
10
11
01
11
10
00
00
11
00
01
00
10
00
01
00
00
10
10
10
00
01
11
01
00
10
00
00
11
11
10
01
01
10
10
10
00
10
10
00
11
11
01
00
00
11
10
00
10
10
00
00
00
01
00
10
11
00
11
00
01
11
01
10
01
11
10
10
00
11
00
01
10
10
10
00
10
01
00
10
00
01
01
00
10
01
01
10
11
10
01
00
01
00
11
10
00
11
10
00
00
00
11
10
11
01
00
10
10
11
00
10
11
10
01
10
11
01
10
10
00
00
10
10
00
11
00
00
10
11
10
00
00
00
01
01
10
00
10
10
00
11
00
11
11
10
01
00
00
00
10
10
11
00
10
10
10
01
10
10
00
01
10
11
10
11
10
01
00
10
01
00
00
10
00
00
11
11
01
11
01
10
11
10
00
10
11
00
00
00
11
00
01
10
10
10
01
10
10
01
00
01
10
00
01
10
11
01
00
11
10
00
00
00
10
00
00
11
10
11
10
01
10
10
00
00
00
10
10
00
10
11
11
11
01
00
00
11
10
10
10
00
00
10
10
00
11
10
10
10
10
10
00
00
11
10
00
11
11
00
00
10
11
11
10
10
00
01
11
10
00
10
10
10
01
01
11
10
11
01
01
01
00
10
00
01
10
10
10
00
00
00
10
10
00
10
10
10
10
01
00
01
10
01
01
00
00
11
10
00
10
10
00
00
00
10
10
00
11
11
00
01
10
11
01
01
11
00
00
10
00
11
00
01
10
11
10
10
00
10
10
00
10
10
01
10
11
10
11
01
10
10
10
10
00
00
10
10
10
11
00
11
11
01
10
00
11
10
00
01
10
00
00
01
10
10
10
11
10
00
10
00
00
10
01
01
11
00
11
10
10
00
00
10
10
11
00
00
01
00
01
10
00
01
10
11
00
11
10
10
10
11
10
00
11
10
10
00
11
00
01
11
11
10
00
10
10
10
00
00
10
00
00
01
00
01
10
10
10
01
00
00
10
11
10
01
10
10
10
00
01
11
11
10
00
00
10
10
11
00
00
00
00
10
10
10
00
11
00
01
00
01
10
10
10
11
01
01
11
00
00
11
01
10
00
10
00
10
00
10
10
00
11
01
01
11
01
10
10
00
00
01
10
10
00
11
10
00
01
10
11
10
11
10
01
01
00
10
11
10
00
10
01
10
10
01
10
00
10
10
01
01
00
10
00
00
10
00
01
11
01
01
00
11
10
00
10
00
00
10
00
00
10
00
11
01
01
11
11
10
01
11
01
01
10
10
01
00
10
10
00
01
10
11
00
01
10
10
00
11
11
01
01
10
10
01
01
10
11
00
10
10
10
10
00
01
10
00
11
10
00
10
00
01
00
11
10
10
00
00
00
11
00
00
10
11
00
10
00
01
10
10
01
11
10
11
01
11
11
10
00
00
11
10
10
01
11
10
10
10
00
01
11
01
01
00
01
00
11
10
10
01
01
10
10
10
00
11
10
00
01
10
00
10
10
01
00
00
10
01
10
10
00
10
10
00
10
00
11
01
00
10
10
10
00
10
00
01
11
11
10
10
00
10
01
01
10
10
00
00
11
10
00
01
11
11
01
00
01
01
00
11
10
00
00
11
11
01
00
10
00
10
00
00
01
10
10
01
11
10
01
00
10
00
10
00
01
00
10
01
01
00
00
00
10
10
10
00
00
00
01
01
00
01
11
10
11
11
11
10
01
00
11
10
00
00
10
10
11
11
01
10
01
00
00
01
01
10
10
11
00
11
11
01
11
11
00
00
10
10
00
00
10
10
10
00
00
10
10
10
10
11
00
10
11
01
00
00
11
00
11
01
00
10
00
10
01
01
00
00
01
10
10
01
01
11
11
01
10
00
01
10
10
00
00
01
10
10
11
10
10
10
01
11
00
10
10
01
00
10
00
00
00
00
11
10
10
00
10
00
01
10
10
00
00
10
10
10
01
10
01
11
01
10
10
10
10
10
00
11
00
00
00
01
00
11
11
00
11
10
10
10
00
00
10
10
00
00
01
10
10
00
00
00
10
11
00
00
10
00
00
00
10
10
10
01
10
11
10
00
10
10
10
00
10
00
10
11
00
00
00
00
11
11
00
10
10
00
11
10
00
10
10
00
01
11
10
11
00
00
11
11
00
01
11
10
00
10
11
00
11
11
01
00
00
00
00
11
00
10
10
00
10
00
10
00
10
00
00
10
00
01
00
11
00
00
10
00
10
11
10
01
10
10
10
10
10
01
10
01
01
11
10
00
01
01
00
10
00
01
10
10
01
00
11
10
00
11
10
01
00
01
10
11
00
00
11
11
10
10
11
00
01
00
00
10
11
10
01
00
10
00
10
10
00
10
00
10
10
10
10
01
01
01
00
00
11
10
10
01
00
11
00
00
00
11
11
11
10
01
11
00
00
00
10
00
00
10
01
01
11
00
11
10
01
10
00
00
10
01
11
10
00
00
10
00
00
10
11
10
10
01
00
00
11
00
01
00
11
00
01
11
10
01
00
11
00
00
10
10
00
01
11
00
00
10
10
10
00
00
00
01
10
00
01
00
11
00
11
01
10
10
10
11
00
01
11
10
00
10
00
10
10
00
11
10
10
11
01
01
11
01
00
00
00
10
00
00
10
11
00
10
10
11
00
01
10
10
00
00
10
00
10
10
00
01
00
01
11
10
10
10
10
01
00
10
11
11
01
11
10
00
00
00
00
10
00
00
10
01
00
10
10
00
01
01
01
00
10
01
11
10
10
10
01
00
10
10
10
00
01
11
10
00
00
00
10
11
00
11
01
00
00
00
11
11
10
00
10
00
00
00
10
10
01
00
01
00
00
10
00
10
01
00
10
11
00
00
00
01
00
10
00
00
00
11
10
01
10
11
00
10
00
00
10
00
11
01
10
00
00
01
11
11
00
00
10
00
00
01
10
11
00
00
10
10
10
01
01
10
01
00
00
10
00
11
10
10
01
10
00
11
11
01
11
10
11
00
10
10
00
00
10
10
00
10
00
11
01
10
00
01
10
00
10
10
01
11
01
11
00
00
00
01
00
11
11
00
00
00
10
00
11
10
01
00
10
10
10
10
10
00
11
11
00
01
10
10
00
00
10
10
01
01
00
11
10
00
00
10
00
00
11
11
01
01
11
11
10
00
01
01
00
10
10
00
00
11
00
01
01
00
01
10
11
01
00
10
01
00
10
10
10
00
01
10
00
10
00
10
11
10
00
10
01
00
10
00
11
01
00
10
11
00
10
10
01
00
10
11
00
01
11
11
00
11
11
10
10
00
10
10
00
11
10
01
00
01
01
00
00
00
00
10
10
01
10
00
00
00
11
10
01
00
10
10
00
10
10
00
11
10
10
00
10
10
10
00
00
10
00
00
10
11
11
01
11
00
11
10
10
01
00
00
11
11
01
01
00
00
00
10
01
10
10
01
11
10
00
01
00
10
01
00
10
10
10
00
00
10
10
01
01
10
11
00
00
10
01
00
10
11
00
10
10
00
10
01
11
10
11
01
00
10
10
10
01
10
10
00
10
00
01
01
00
11
00
10
11
01
10
11
10
00
00
11
10
00
00
11
00
00
10
10
01
00
01
00
00
11
10
11
01
10
10
10
00
00
00
10
10
00
00
00
00
00
00
11
11
00
00
00
00
10
01
10
10
00
01
00
11
10
00
01
10
11
01
10
10
10
11
10
01
01
00
00
01
10
01
10
10
00
00
11
01
11
10
10
01
11
00
00
00
10
10
00
00
10
00
10
00
01
10
11
01
10
10
11
00
11
00
01
10
10
10
00
00
01
01
10
00
00
10
00
10
10
00
00
10
00
00
10
00
10
00
00
01
10
00
10
10
01
00
11
10
00
01
00
11
00
01
10
00
11
00
10
10
00
10
01
11
10
10
00
10
00
00
01
10
10
10
10
10
10
00
01
00
01
11
11
10
01
10
11
10
01
10
00
00
11
11
00
10
00
11
10
10
11
00
10
10
00
10
10
10
00
01
11
11
10
01
10
11
11
10
00
00
00
11
00
00
11
10
00
00
10
11
00
10
00
01
11
10
01
10
00
00
10
01
10
00
00
10
10
10
10
11
00
10
00
10
00
00
01
01
01
10
00
01
01
10
10
10
00
00
01
00
10
00
01
11
00
10
11
00
01
10
01
10
10
10
11
00
00
01
11
01
11
00
10
11
00
00
11
11
01
00
01
00
10
00
00
10
11
10
00
00
10
00
01
00
11
11
01
10
11
10
00
11
10
11
00
10
11
01
11
00
01
10
10
00
10
00
10
00
10
10
01
10
11
00
01
10
10
11
00
10
00
10
11
01
00
10
11
01
10
00
00
10
00
00
00
00
01
01
10
10
01
11
00
11
10
00
10
11
00
01
11
01
01
10
11
10
10
01
01
00
11
01
11
01
00
00
11
10
01
10
11
10
00
00
10
00
00
00
10
00
01
01
00
11
00
10
00
10
11
00
11
00
00
00
10
10
00
00
10
00
10
00
10
10
10
01
00
11
10
10
10
00
10
00
10
10
10
10
10
00
11
11
01
11
10
11
00
01
00
10
11
01
11
10
10
00
00
10
10
10
01
11
11
00
00
01
01
01
00
10
10
10
10
00
01
10
10
10
01
10
11
11
10
00
00
00
11
10
00
01
11
00
00
00
11
10
11
10
00
00
11
10
00
00
10
00
01
10
01
00
11
11
01
10
01
00
10
01
00
10
10
00
00
11
10
11
00
01
01
10
11
01
01
00
11
10
00
10
00
11
10
11
01
00
11
10
00
10
00
00
00
11
01
01
00
00
10
11
01
10
10
01
00
00
10
00
10
10
10
00
00
11
01
01
00
00
10
11
10
00
10
10
00
01
10
00
00
00
10
11
00
00
01
00
10
10
00
11
10
00
00
01
10
10
00
11
11
01
00
00
10
00
11
11
11
00
10
00
00
11
01
01
10
01
10
00
00
01
00
11
10
01
01
00
11
10
11
00
00
00
00
10
11
10
00
00
01
00
10
11
10
10
10
10
11
10
00
11
11
00
10
11
10
11
00
00
10
10
01
00
11
11
00
11
00
11
10
10
01
10
01
11
10
00
11
01
11
10
01
00
11
11
00
11
11
10
00
00
10
10
11
01
10
11
10
11
01
00
10
10
00
00
01
10
11
10
00
10
10
00
01
10
00
00
11
00
01
10
01
11
10
11
11
00
01
10
00
10
10
01
01
10
10
00
11
01
00
10
00
10
10
10
01
10
11
10
10
00
10
00
00
10
10
01
00
00
10
11
11
00
00
00
10
01
01
10
11
00
00
00
10
10
00
10
10
10
10
10
11
10
01
00
11
00
00
10
10
11
00
00
11
11
10
11
11
01
00
00
00
01
00
01
10
10
10
10
11
10
00
10
10
00
10
00
10
01
01
00
01
10
10
10
00
01
10
10
00
10
10
00
00
10
10
00
00
10
11
10
00
10
00
10
11
11
01
00
00
01
11
10
11
00
00
11
00
01
11
01
00
11
01
11
01
01
11
01
10
11
00
10
01
11
10
01
01
10
10
01
00
01
00
11
10
00
00
11
11
00
01
11
00
01
00
10
11
00
11
00
10
10
01
00
00
10
10
10
00
10
10
00
10
01
00
00
11
10
00
01
10
01
10
10
01
10
10
10
10
10
00
01
10
01
10
11
01
00
11
10
00
01
10
00
11
00
01
11
00
00
10
01
00
00
10
11
01
10
11
11
00
10
11
00
00
00
10
10
10
00
10
00
01
00
00
10
00
00
00
01
10
01
00
01
10
11
11
11
00
00
01
11
10
01
10
00
00
10
00
11
11
10
01
11
10
10
00
01
00
00
11
10
00
00
00
00
01
10
10
10
00
01
10
01
10
01
10
01
10
00
01
11
00
10
10
01
00
11
11
00
10
10
01
10
00
11
11
00
01
10
00
10
11
11
01
10
11
10
11
10
00
01
10
00
00
00
01
10
10
11
00
11
00
00
00
11
00
10
10
00
00
10
11
00
10
10
00
10
00
10
10
00
00
10
10
00
00
10
00
11
10
11
10
10
10
00
10
11
00
00
10
00
00
01
10
10
01
10
00
00
10
00
00
10
10
01
00
01
10
11
10
00
00
10
11
10
01
01
10
00
00
10
00
00
11
10
10
00
00
10
11
00
00
11
11
10
01
00
10
01
00
10
00
00
10
10
11
10
01
00
10
10
11
00
00
01
11
01
00
11
11
00
00
10
01
00
10
10
01
11
11
00
00
00
00
00
11
00
00
00
00
00
00
11
10
11
10
01
10
10
10
01
10
10
10
00
10
01
01
11
10
01
10
00
10
00
00
10
11
00
11
00
00
11
10
11
11
10
01
10
01
00
00
11
10
10
00
10
00
10
11
01
00
10
11
10
01
11
10
00
10
01
01
10
10
10
01
00
11
10
00
01
00
00
10
10
00
01
10
11
10
01
01
01
00
10
00
10
01
10
01
01
10
10
10
00
10
10
10
00
10
11
00
01
00
11
10
00
00
10
11
01
00
01
11
11
10
10
00
10
10
00
01
11
11
00
00
00
00
10
01
00
11
10
10
00
11
11
10
00
00
11
11
00
01
10
00
00
10
11
00
10
10
10
11
10
11
11
10
00
11
11
10
01
00
11
10
00
01
10
10
01
11
11
11
00
00
10
10
10
00
00
11
10
00
10
00
00
00
01
01
11
11
01
01
10
00
10
11
10
00
00
00
00
00
00
10
10
00
00
01
01
00
10
01
01
11
01
10
00
10
01
00
10
11
10
00
10
11
00
11
01
00
11
11
11
01
00
10
10
10
10
11
00
01
11
10
01
10
00
10
00
00
00
10
10
11
10
10
00
10
00
10
11
00
11
00
01
01
00
10
10
10
10
11
00
01
00
00
10
10
10
10
00
01
00
00
10
11
00
10
11
10
11
01
00
00
10
11
11
10
10
00
11
00
00
00
11
00
10
00
01
00
10
11
10
01
00
11
10
01
00
10
00
10
00
00
01
10
10
11
01
10
10
01
00
10
11
00
10
00
10
10
10
10
01
10
10
10
01
10
00
00
10
00
00
00
00
10
00
00
10
10
10
01
01
00
00
00
11
00
00
11
11
10
00
01
10
00
11
10
00
11
00
11
10
01
10
01
00
00
10
00
10
10
11
00
11
01
10
00
00
00
11
10
00
01
01
11
10
00
10
10
00
10
01
01
11
11
00
00
10
10
00
00
10
11
10
00
10
00
00
00
01
11
01
00
10
11
00
11
01
00
00
10
11
10
01
00
00
11
11
10
00
10
10
00
00
00
01
00
11
00
01
11
01
01
00
10
00
10
10
00
00
10
10
01
10
11
00
11
00
01
10
00
10
11
01
00
00
11
01
11
10
00
00
10
10
11
01
00
11
01
00
10
00
01
11
00
10
00
11
00
10
11
10
11
11
00
00
11
10
00
00
11
00
00
10
10
00
01
00
01
10
01
11
11
10
01
01
11
11
01
00
01
11
11
00
11
10
10
00
10
10
01
00
10
10
00
00
11
01
01
10
10
00
10
10
10
00
00
00
10
01
00
11
00
00
10
00
10
00
00
10
01
10
11
01
10
01
00
11
00
11
10
00
00
11
00
00
00
10
10
10
00
10
00
10
10
11
01
10
10
00
10
10
10
00
00
10
11
10
00
11
10
00
00
10
10
10
01
10
10
00
00
01
10
00
00
10
10
00
10
10
01
11
01
00
00
00
00
10
11
10
10
10
10
00
10
00
00
00
00
11
01
10
00
11
00
00
01
10
10
10
00
00
01
01
11
10
00
10
11
10
00
01
10
01
00
01
01
10
10
01
00
10
00
01
11
10
11
10
10
11
11
00
01
11
10
11
10
10
00
01
10
10
10
00
00
11
00
00
10
01
01
10
01
00
11
00
10
00
11
00
00
11
10
11
10
01
10
10
11
01
00
00
00
11
10
10
00
00
10
00
01
00
01
01
00
00
10
01
11
01
01
11
10
01
01
10
00
01
11
10
01
00
10
00
00
11
00
10
10
00
00
11
00
10
10
00
10
11
10
11
01
01
10
00
10
00
10
10
00
01
01
11
11
10
11
10
10
00
01
10
10
00
00
11
00
00
10
10
11
00
11
00
10
11
00
01
10
01
01
10
10
00
10
01
00
11
10
00
01
10
11
00
10
10
10
10
00
00
10
10
01
11
01
11
10
00
00
01
01
00
10
01
10
10
00
00
10
11
11
10
01
10
00
01
10
10
00
10
10
10
10
00
01
01
01
10
00
11
01
01
10
10
00
00
10
00
11
10
10
00
00
11
10
10
10
11
00
01
10
11
00
00
00
01
01
11
01
00
01
11
10
01
00
10
11
11
00
11
10
10
10
01
01
10
11
00
01
00
11
10
00
00
00
00
11
00
00
10
00
01
10
11
10
10
00
10
10
00
10
11
00
11
11
01
00
01
11
11
10
00
00
10
11
01
10
10
01
11
10
11
01
00
10
01
10
10
00
00
11
10
01
00
11
10
11
01
01
00
10
10
00
00
10
10
00
00
00
00
10
11
10
00
01
01
10
10
10
00
00
10
00
11
10
10
10
00
10
10
00
00
11
11
00
10
00
10
00
00
01
10
10
10
10
00
10
00
11
01
00
11
01
00
11
00
00
11
11
00
01
11
10
00
11
00
01
10
10
01
10
00
00
11
10
01
10
10
10
10
00
00
10
01
00
11
10
00
01
00
10
00
00
10
00
01
10
10
00
01
11
00
00
00
10
10
10
10
11
10
00
11
00
10
00
01
10
10
10
00
00
01
10
10
01
01
00
01
00
10
10
00
00
11
10
00
11
11
00
10
10
00
00
10
00
10
11
11
01
01
10
11
01
10
00
10
11
00
11
11
00
00
10
11
00
11
11
01
10
00
10
10
10
00
01
11
11
00
01
10
00
11
11
00
00
10
10
10
11
00
01
10
11
10
01
11
10
00
00
01
01
00
10
00
10
00
01
11
10
10
01
10
10
00
00
11
10
01
00
10
11
00
00
10
11
01
00
10
00
10
10
01
00
10
10
01
00
10
10
01
10
00
10
10
11
11
00
11
10
00
10
01
01
00
10
10
10
00
10
11
01
00
10
11
00
00
00
10
11
10
01
10
00
11
10
11
01
01
10
10
10
01
00
10
10
00
11
11
00
11
00
10
00
00
10
00
10
10
00
11
01
00
01
00
10
00
11
10
00
01
10
11
10
00
10
01
00
11
10
00
00
00
00
10
11
00
11
10
00
10
01
00
00
01
10
11
10
10
00
10
10
00
00
00
01
01
10
10
00
01
10
10
00
00
01
00
11
10
00
01
10
00
11
10
00
00
00
01
10
10
01
10
11
01
00
10
11
00
10
10
00
00
00
00
10
01
11
10
00
10
01
01
10
00
11
10
00
00
11
01
11
10
00
11
01
00
00
00
10
10
01
01
01
11
10
10
11
10
11
00
10
01
10
10
00
00
10
00
11
11
01
00
00
10
10
10
01
00
10
10
10
01
11
11
11
00
00
00
00
10
11
10
01
01
00
10
00
00
11
10
11
11
10
11
00
11
00
11
11
01
01
11
00
00
10
10
00
00
10
10
01
00
10
11
10
00
10
10
00
10
11
10
01
11
00
01
11
10
01
00
01
00
10
10
11
01
01
01
10
01
10
11
11
10
00
01
10
01
01
11
10
00
01
10
00
00
10
10
01
00
00
00
10
00
00
00
10
00
01
10
10
00
00
11
01
00
00
10
11
10
11
00
01
10
10
00
00
01
10
01
00
00
10
11
00
00
00
10
00
00
11
10
00
11
00
01
00
10
00
00
10
10
10
00
10
00
00
10
11
00
10
11
00
01
11
10
00
00
11
11
00
00
00
00
11
00
10
10
00
01
10
11
11
00
00
10
01
11
00
00
01
00
10
01
10
00
01
00
00
10
11
00
11
01
10
01
10
01
01
00
10
10
10
00
11
10
10
00
10
00
00
01
00
00
00
01
11
00
11
10
01
00
00
00
00
10
10
00
00
10
10
10
01
00
11
10
00
00
11
10
01
00
10
01
11
01
01
00
10
11
11
00
00
10
01
00
10
10
00
10
01
00
11
10
00
00
01
10
10
00
00
10
10
10
00
10
01
11
10
00
00
10
11
10
00
00
00
11
01
11
11
10
11
10
10
00
00
10
00
10
10
01
10
00
11
10
10
10
00
00
01
00
10
00
00
10
00
01
10
10
10
00
00
11
00
00
10
01
01
01
00
00
00
10
10
10
00
11
10
10
00
10
10
00
11
00
00
11
00
00
11
10
01
10
00
00
00
00
00
00
10
11
01
00
00
11
00
10
00
00
00
00
00
11
01
01
10
10
01
00
00
10
10
00
01
11
00
01
11
00
00
10
00
10
10
00
10
01
01
11
11
01
10
00
00
10
00
10
10
00
00
10
00
00
10
10
11
10
10
01
00
10
10
10
00
00
10
11
01
01
10
00
10
01
10
10
00
11
10
11
10
01
00
10
01
01
11
11
00
01
11
00
10
00
00
11
11
00
01
11
10
00
00
10
00
10
10
00
00
10
11
01
10
10
00
10
10
11
00
11
10
10
00
00
10
10
01
00
11
11
10
10
10
10
10
00
00
00
10
10
00
01
11
10
10
10
11
00
00
01
00
00
10
10
00
00
11
10
10
00
10
10
01
01
00
10
10
00
11
01
01
00
10
11
00
00
00
11
10
00
00
00
00
00
11
00
10
00
10
01
10
10
01
00
10
00
11
11
11
00
00
01
00
10
10
10
00
10
11
00
10
10
01
10
01
00
10
10
10
10
00
00
10
00
00
00
01
10
10
11
00
10
10
00
01
11
00
10
11
10
11
10
00
11
11
00
01
11
10
10
00
10
00
01
11
10
01
00
00
00
00
10
00
10
00
10
10
00
10
00
00
01
11
11
00
01
11
10
11
00
11
10
10
01
00
11
10
00
01
11
00
11
00
01
01
00
01
11
00
00
10
01
01
00
10
00
00
11
01
01
10
01
00
11
11
11
00
10
00
00
01
10
01
00
00
11
00
00
10
01
00
00
10
10
01
10
01
10
10
00
11
01
00
10
10
10
11
00
00
11
10
01
01
00
11
01
00
11
10
01
10
10
00
00
10
01
00
10
01
00
01
00
10
10
10
11
11
10
00
01
10
10
00
00
01
10
00
10
00
10
10
01
00
00
11
00
10
11
10
00
00
10
00
11
01
00
01
10
00
01
01
10
10
00
10
01
10
11
00
10
10
00
10
00
01
00
11
11
11
10
00
00
10
00
00
10
00
11
00
10
00
10
00
00
01
10
10
01
10
00
00
10
11
00
01
10
00
11
11
01
00
01
01
01
11
10
11
10
00
11
01
01
00
10
10
00
00
01
00
11
11
11
10
00
10
00
00
10
10
01
11
10
10
00
10
10
00
00
10
11
10
11
00
01
10
10
10
01
10
10
00
00
10
01
00
10
10
00
11
01
01
11
01
11
10
00
00
10
11
00
00
11
10
10
11
00
00
01
00
00
00
00
11
01
11
10
00
00
11
00
01
01
11
01
10
10
00
00
00
00
10
10
10
00
10
01
01
10
00
10
10
01
11
10
00
00
11
00
00
10
00
10
11
10
00
10
11
10
10
00
01
00
10
11
01
01
11
00
11
00
00
00
01
10
10
00
00
00
01
01
10
10
10
00
10
10
01
01
10
10
01
01
00
11
01
00
11
00
00
10
00
01
00
11
10
00
01
10
00
11
10
00
10
00
10
10
00
11
00
10
11
10
10
00
00
10
10
01
01
10
10
10
11
11
00
10
10
00
00
00
00
10
01
00
11
00
11
11
01
00
00
00
10
00
10
01
00
10
11
00
00
01
10
10
00
00
10
11
01
11
10
01
10
00
11
11
00
00
10
10
00
00
00
10
00
10
10
11
10
10
01
01
10
11
00
00
00
11
10
11
00
01
00
10
01
00
00
10
10
11
10
00
00
11
00
01
10
10
01
11
10
00
10
10
10
11
01
11
01
00
00
10
10
11
10
00
00
10
00
01
10
10
10
00
10
00
01
01
00
01
00
10
00
01
10
11
00
00
10
00
00
10
10
01
01
01
11
01
10
10
01
10
00
00
11
10
00
01
10
00
00
00
11
11
00
00
11
11
00
00
00
11
11
10
00
11
10
11
10
00
00
10
10
10
10
00
00
01
10
10
11
11
00
00
10
01
11
01
10
00
10
11
10
10
10
01
00
10
00
11
01
00
00
10
00
01
11
01
00
10
11
11
00
10
00
11
10
10
01
01
10
01
11
10
11
00
10
01
00
00
10
01
01
00
10
11
10
10
00
00
11
01
00
10
11
10
11
10
00
11
01
00
10
01
00
11
11
11
10
10
00
10
11
01
01
10
00
10
00
01
10
10
10
10
11
10
10
00
00
10
10
01
01
00
10
10
01
01
01
10
10
01
00
00
00
01
10
01
10
10
00
10
00
01
01
00
11
10
00
10
00
10
10
10
00
00
10
00
00
10
10
00
00
00
10
11
10
10
01
11
11
00
00
00
11
00
01
11
10
10
00
10
10
10
00
01
10
10
10
01
00
01
00
10
10
00
10
10
10
11
10
10
10
00
00
01
01
00
10
01
11
11
11
10
00
10
11
01
10
10
10
00
01
10
00
10
00
00
01
00
01
11
10
10
11
10
11
10
01
00
00
00
10
00
11
00
00
10
10
00
10
10
00
00
11
10
10
00
00
10
00
11
00
00
10
00
01
00
11
10
10
10
10
11
10
00
00
01
11
00
00
10
00
11
00
10
10
01
10
11
00
10
11
10
11
01
01
10
10
00
00
00
01
10
00
10
10
10
00
11
10
10
10
00
01
10
11
01
00
11
10
01
11
00
00
10
00
11
01
00
10
10
01
11
01
10
10
11
00
00
00
10
00
10
00
00
00
10
10
00
10
00
10
00
00
11
10
00
01
10
00
00
10
11
11
10
10
11
10
11
01
10
00
01
10
10
11
00
11
10
10
10
00
11
00
00
11
10
11
00
11
00
00
11
10
10
00
01
11
01
01
10
01
01
01
01
00
10
10
00
10
01
00
10
00
00
00
11
00
10
10
00
10
10
00
00
00
10
10
10
10
11
10
11
00
11
10
11
00
01
10
10
00
00
10
10
10
00
00
01
11
10
00
00
11
10
10
11
00
10
11
11
11
10
01
00
10
00
01
10
00
10
10
00
00
10
10
10
11
10
00
11
10
01
01
01
10
10
00
01
10
10
00
01
11
10
00
00
00
10
10
00
00
00
11
11
10
10
10
00
01
00
10
11
01
10
10
00
00
01
10
11
00
11
10
11
10
00
10
00
11
10
00
01
10
11
10
11
00
00
10
11
10
00
01
11
00
00
01
00
10
10
00
01
11
00
11
10
00
01
10
11
10
10
00
11
10
01
00
10
10
10
01
00
00
11
00
00
00
10
00
00
10
00
01
10
10
00
00
01
10
10
00
00
01
10
01
10
11
00
10
00
00
10
11
10
10
00
10
11
01
10
00
10
00
10
10
01
10
10
00
10
11
01
10
10
00
00
01
01
10
00
00
00
00
10
10
11
10
00
10
00
01
01
10
10
01
01
10
00
01
00
00
10
00
01
00
01
10
11
10
01
10
10
11
00
00
10
00
00
11
00
11
11
10
01
00
00
10
00
10
11
00
00
00
00
00
10
11
00
10
00
10
10
00
01
10
10
11
00
01
00
11
10
01
11
01
00
01
11
10
10
00
00
01
00
10
10
10
11
10
01
01
11
10
01
10
11
00
00
10
10
10
01
00
00
11
11
01
10
01
10
01
00
01
00
10
11
10
00
10
10
01
10
00
00
11
00
11
10
01
00
00
11
10
00
10
10
10
00
01
10
00
11
11
00
10
10
00
10
11
00
10
10
00
11
00
10
00
00
10
10
11
01
10
11
01
10
11
11
00
00
11
11
01
01
11
00
01
11
10
00
01
10
00
00
11
10
00
10
10
10
10
10
00
00
00
10
10
10
10
01
00
00
11
00
11
00
10
00
10
11
10
11
00
11
10
10
01
11
11
00
10
10
11
01
11
11
00
10
10
11
00
00
10
10
01
10
01
00
01
11
00
10
00
10
10
01
01
00
10
00
11
01
10
10
01
01
10
00
00
10
10
11
00
01
01
00
01
00
01
11
11
00
11
10
00
00
01
00
11
11
00
11
10
10
10
01
00
10
01
00
10
00
11
10
10
00
00
00
01
01
00
10
11
00
11
00
01
10
00
10
00
00
11
11
00
00
11
11
10
01
10
00
00
11
10
01
00
10
00
11
10
00
00
10
10
10
00
10
00
00
10
01
11
11
10
10
00
10
01
10
00
01
11
11
11
10
01
10
00
10
11
01
00
11
10
10
01
01
01
10
11
00
11
10
00
11
11
01
01
01
11
10
00
00
10
10
01
00
11
10
10
01
10
01
10
10
00
00
00
10
10
00
11
11
00
10
11
10
10
10
01
00
00
01
00
00
00
11
10
10
00
10
11
00
10
10
11
00
00
00
11
00
00
10
00
00
11
10
00
01
10
11
01
00
01
10
10
00
00
10
10
10
01
11
01
00
01
11
11
00
00
10
10
10
10
00
00
11
00
00
10
00
00
10
00
11
00
00
01
01
10
01
10
10
10
00
11
10
00
00
11
10
00
00
00
00
00
00
00
00
11
00
01
11
00
11
10
01
10
00
00
10
10
00
00
11
10
01
01
01
01
10
10
10
00
01
10
10
00
10
00
01
10
00
01
10
00
10
10
00
11
10
10
10
10
10
10
10
01
00
11
11
10
11
10
00
00
11
11
00
01
00
01
10
10
10
01
00
11
01
01
10
10
01
01
01
00
11
00
01
10
01
01
10
10
10
10
10
11
01
00
10
10
00
10
10
11
01
11
00
10
00
10
01
10
10
00
01
01
10
00
10
00
00
10
00
10
10
01
11
01
11
11
01
10
11
00
01
00
00
11
10
00
10
01
00
11
01
10
00
11
00
01
10
00
11
10
01
00
10
01
10
10
00
11
00
11
00
10
11
10
11
00
00
10
00
01
11
00
10
10
00
00
10
10
01
11
10
00
00
00
00
00
10
10
00
00
00
11
10
10
01
11
01
01
00
11
10
10
00
00
10
11
00
00
10
00
10
11
11
10
10
10
00
10
00
00
11
00
11
00
00
10
11
10
01
00
01
11
10
10
10
01
00
11
10
10
00
10
10
00
01
10
00
01
10
01
10
00
00
00
00
10
10
00
11
00
10
10
11
11
10
01
11
11
00
01
11
01
10
10
00
00
11
00
00
11
10
10
10
10
01
10
01
01
11
11
10
01
11
00
01
00
10
00
00
10
10
10
01
10
00
10
10
11
11
01
01
01
10
01
10
10
00
11
11
01
00
10
11
00
10
11
00
00
01
01
10
10
10
11
01
00
00
10
01
11
00
11
00
11
00
01
10
10
01
00
11
10
10
00
10
11
00
00
01
11
00
01
10
01
01
10
11
01
00
11
00
00
10
10
01
01
00
00
00
10
00
00
10
00
10
10
01
00
01
10
00
10
00
01
10
11
10
00
10
10
00
01
10
00
01
11
10
01
10
11
01
01
00
01
10
10
10
00
10
10
00
00
11
10
00
00
10
01
01
10
11
10
01
00
00
10
10
10
11
00
00
10
01
10
10
00
10
10
01
10
01
00
00
01
10
01
11
00
10
00
10
10
01
00
11
00
01
10
11
01
00
10
11
11
00
00
11
00
11
00
00
10
00
00
00
00
10
01
10
01
11
01
10
00
10
00
11
10
01
10
10
10
01
10
10
10
10
10
00
01
01
10
00
10
00
01
10
00
10
00
00
11
00
01
00
01
10
10
10
11
10
00
10
11
10
00
10
10
00
00
10
11
11
00
01
00
10
01
10
00
00
00
11
00
11
10
01
01
00
00
01
11
10
11
01
00
11
10
01
00
01
10
01
00
11
00
00
10
10
00
10
10
00
00
00
10
10
01
01
01
01
01
00
10
10
10
10
00
00
10
11
11
00
01
10
10
10
00
11
11
10
00
00
11
11
00
00
00
11
10
10
10
10
01
01
10
00
00
00
11
10
00
01
00
10
00
01
10
10
00
01
01
10
10
10
11
10
10
00
01
00
10
10
00
10
01
11
10
11
01
00
01
00
00
00
01
10
00
11
10
11
10
00
00
10
00
10
10
01
10
11
01
01
00
00
10
10
11
01
11
01
00
10
10
11
11
01
00
10
00
01
11
00
00
11
10
01
00
10
10
10
01
10
00
00
01
00
11
00
01
00
11
00
01
11
10
10
01
01
10
00
00
11
10
00
10
10
11
00
11
00
00
01
10
01
00
11
10
10
10
00
01
01
10
10
10
10
11
10
01
01
10
00
10
10
00
00
10
10
00
10
10
10
11
01
10
11
00
10
10
00
00
00
10
00
00
10
10
10
00
11
10
00
00
10
00
10
10
10
11
00
01
01
00
11
10
11
10
00
01
11
00
00
10
10
01
01
11
11
00
00
00
10
10
10
10
00
01
10
00
11
10
00
10
10
00
00
00
11
00
01
11
01
10
10
10
11
10
00
00
00
10
11
00
10
00
00
11
01
10
10
00
00
10
00
10
00
11
00
01
10
11
10
01
00
00
00
11
10
01
10
11
10
00
10
00
00
11
11
00
00
00
11
00
00
10
10
01
00
10
00
10
00
00
11
01
10
00
10
00
10
00
11
10
10
10
10
10
10
11
01
01
10
00
00
11
00
00
10
11
10
00
10
10
00
00
10
11
00
00
00
10
01
00
01
00
10
00
10
00
11
01
00
10
00
00
11
00
01
00
10
11
11
00
11
11
10
11
00
10
10
10
00
01
11
00
10
01
10
11
00
10
00
00
10
01
10
11
00
00
00
10
10
11
00
01
10
11
10
11
11
01
00
11
10
00
10
10
10
01
10
00
10
10
01
01
11
01
00
11
10
10
00
01
11
10
10
11
11
01
00
01
10
01
10
01
01
10
10
01
10
10
11
01
01
01
10
00
11
00
10
10
00
01
11
10
00
10
00
00
10
11
00
10
10
00
00
10
10
00
11
01
00
00
00
00
10
11
01
11
11
10
00
01
10
11
11
01
01
10
11
00
01
11
10
00
00
01
00
00
10
10
00
11
10
00
10
00
11
00
01
10
10
11
11
00
01
11
10
00
10
00
10
10
01
00
01
00
10
11
01
00
00
00
11
00
01
00
01
10
01
10
01
00
10
10
01
00
00
00
10
11
00
11
00
10
11
01
00
00
00
10
10
11
10
00
01
00
11
10
10
00
01
00
00
11
10
10
00
00
00
10
00
11
00
11
10
11
11
10
11
10
00
01
01
00
00
00
11
11
00
10
10
10
11
00
01
01
01
01
01
01
10
00
00
11
01
00
10
10
10
10
01
11
01
00
01
00
10
00
11
10
00
10
10
00
00
01
00
11
11
01
00
00
11
11
00
00
00
10
10
00
00
00
01
11
11
00
10
10
00
00
10
01
01
10
10
10
00
10
01
10
10
00
10
10
10
01
00
00
01
10
01
11
10
10
10
10
10
10
01
01
00
01
10
10
00
10
10
00
00
00
10
01
00
10
10
10
00
01
01
01
10
11
11
11
10
10
11
00
01
00
10
01
00
10
00
10
10
00
11
10
10
11
01
00
11
01
01
10
10
01
00
00
10
10
01
00
00
11
00
01
01
10
11
11
10
00
00
11
00
10
10
10
10
10
11
00
10
10
00
00
10
11
00
00
10
11
10
00
00
11
10
10
01
11
00
11
00
00
10
00
10
01
10
11
00
11
11
10
00
11
10
01
00
00
10
10
00
01
10
11
00
10
11
00
00
11
01
00
00
10
11
10
00
01
10
10
00
01
01
00
10
11
01
01
10
10
01
10
10
00
10
10
10
11
00
00
01
00
11
11
00
10
11
01
00
00
10
11
10
01
11
01
00
01
11
10
00
00
00
00
10
11
01
10
10
00
00
11
00
01
10
10
10
11
01
00
00
11
10
10
00
01
11
00
10
11
10
00
01
00
10
00
10
11
10
10
11
10
00
00
10
00
00
01
10
10
10
00
10
10
10
01
10
10
11
00
10
00
00
10
01
01
00
11
00
01
01
00
00
11
00
10
00
00
10
00
00
00
00
10
11
01
00
11
10
00
01
11
00
00
01
10
10
10
00
00
00
00
00
00
00
10
00
00
10
00
01
10
10
11
11
00
11
11
01
10
11
10
01
00
10
10
01
10
10
01
00
11
01
00
01
11
00
01
11
00
01
11
10
01
10
10
00
11
00
01
01
11
10
10
10
00
00
10
00
00
10
11
10
00
10
10
00
01
00
10
11
10
11
01
10
01
00
00
11
10
01
01
00
01
00
10
10
00
10
10
01
00
00
00
00
10
00
00
10
10
10
01
00
10
11
00
10
00
01
10
10
01
00
10
01
00
10
10
11
00
00
11
01
00
10
00
01
00
10
00
10
00
00
11
10
00
00
00
00
00
00
10
10
00
10
11
00
00
11
10
11
00
10
11
00
00
11
01
00
01
10
10
01
10
10
11
00
00
10
10
00
10
10
10
00
11
10
01
00
00
10
00
00
00
00
01
10
00
00
01
01
00
10
11
00
01
10
11
10
00
10
01
11
10
11
01
01
00
00
11
00
00
00
11
11
00
00
10
00
01
00
00
11
10
01
01
11
10
11
01
01
10
10
10
10
11
00
00
01
00
11
10
00
10
01
00
10
00
10
00
00
01
00
00
10
10
00
00
11
01
00
10
10
10
01
11
00
10
00
01
10
10
11
01
10
00
00
11
10
10
10
10
10
11
10
00
00
11
11
00
00
00
10
10
01
00
10
10
00
00
00
10
01
10
01
10
00
01
10
10
10
10
11
11
00
10
00
00
10
10
00
00
11
10
00
11
11
00
10
10
00
00
10
10
10
00
10
01
10
00
00
10
11
10
00
00
10
01
10
01
00
01
10
01
00
10
00
01
11
11
01
01
10
10
00
11
11
00
11
00
00
11
11
00
00
01
10
10
01
10
00
10
01
00
00
10
11
00
00
10
00
10
11
01
01
00
10
10
01
00
00
00
10
10
00
10
11
01
00
00
00
10
00
10
10
01
00
01
11
10
11
01
00
00
00
11
10
11
00
01
10
10
00
10
10
00
10
00
10
11
10
10
11
10
10
00
11
10
10
00
00
10
00
00
10
01
00
10
10
00
11
01
01
01
11
10
10
00
00
11
00
01
00
10
10
10
00
01
10
11
11
01
10
10
00
10
11
01
00
10
00
10
00
00
10
11
00
10
00
10
00
00
00
11
00
11
01
00
10
01
00
11
00
01
00
10
01
01
10
00
11
10
11
11
00
01
00
10
11
00
01
10
01
01
11
11
10
11
00
11
10
01
00
10
00
11
11
00
11
00
00
10
11
10
11
11
10
00
10
10
01
01
00
00
00
01
01
00
01
10
10
10
10
10
00
00
11
10
11
01
10
11
00
10
10
00
00
10
00
00
00
10
10
01
00
01
10
11
10
01
01
10
11
00
00
01
10
10
10
11
10
10
10
00
10
10
00
00
00
00
10
01
01
00
10
11
00
10
11
10
01
01
10
10
11
10
10
00
00
01
10
11
10
01
00
11
01
01
10
00
00
10
10
10
10
00
01
10
11
10
00
11
01
00
00
11
10
10
00
01
00
00
10
11
10
00
00
00
10
00
10
10
10
00
00
01
11
10
11
00
00
01
00
10
11
10
00
01
10
10
10
00
11
01
10
00
11
00
10
10
00
00
11
11
11
10
11
00
11
11
00
01
10
00
01
01
10
01
00
11
00
01
11
00
01
00
10
10
11
00
10
01
00
00
11
01
00
10
00
00
11
01
11
10
11
00
00
10
10
10
00
00
10
01
00
00
00
11
00
01
00
11
01
10
11
00
00
10
10
01
00
10
10
00
00
10
01
10
01
00
00
10
01
10
11
11
00
01
11
01
01
00
10
01
00
10
11
10
01
10
11
00
10
00
00
10
11
10
01
00
01
00
00
00
00
10
10
10
10
01
01
01
00
10
10
11
00
01
10
10
01
00
01
10
10
00
00
00
11
11
00
00
01
10
00
10
10
00
11
10
00
11
11
00
01
00
10
10
10
00
01
10
11
00
00
11
10
10
10
10
00
11
00
01
10
01
01
10
00
00
11
10
00
00
00
10
11
11
10
00
11
10
10
10
00
01
10
10
11
01
10
10
01
11
00
01
00
00
10
00
00
11
00
00
10
10
00
00
00
10
00
11
10
11
00
01
00
00
11
10
01
00
00
10
00
10
11
11
00
10
10
00
01
00
01
10
10
00
10
01
10
10
00
00
10
00
11
00
10
00
00
10
01
11
00
10
10
10
00
11
10
10
00
11
10
10
00
01
00
11
10
01
10
00
10
11
00
01
00
11
00
00
11
11
11
01
11
11
00
11
00
01
00
10
10
10
01
01
10
11
00
00
01
10
11
00
00
11
01
00
10
10
00
10
10
00
11
10
00
11
10
01
11
00
01
00
10
01
00
10
10
00
00
10
10
00
10
00
00
10
01
01
00
00
11
00
10
10
01
01
11
11
11
10
00
00
10
10
00
00
00
00
11
00
10
10
11
11
00
00
11
11
10
11
00
00
01
10
11
10
10
00
00
11
00
10
10
10
01
10
01
00
01
00
01
10
00
00
10
10
11
10
10
01
01
11
10
00
11
10
10
00
10
10
00
00
00
01
10
00
10
10
00
00
10
11
10
11
01
11
00
00
00
10
00
10
11
00
00
11
00
01
00
00
10
10
01
11
00
11
11
11
00
10
01
00
10
00
00
10
01
10
10
10
00
01
00
10
00
01
10
10
10
01
00
11
00
00
00
10
11
10
10
01
10
00
00
10
11
11
00
01
00
00
01
01
00
11
11
01
10
10
10
10
00
01
01
00
11
10
10
11
10
11
10
10
01
10
11
00
11
10
10
00
01
10
10
10
01
00
00
00
00
01
11
10
10
10
10
00
00
00
00
01
11
10
11
10
00
10
00
10
00
10
00
11
11
11
01
01
00
10
11
01
00
10
10
01
00
10
01
11
10
10
01
00
11
00
00
10
00
01
10
01
00
01
10
00
01
01
10
10
10
11
01
10
11
00
00
10
00
10
11
11
01
00
10
00
10
01
10
00
10
01
10
11
00
00
00
11
10
10
00
00
00
00
00
11
11
11
01
00
00
00
00
00
00
11
11
11
00
00
00
00
10
10
00
00
01
00
11
00
00
11
11
01
01
00
10
00
01
00
01
10
01
00
00
10
10
10
00
00
10
10
10
10
01
10
01
00
01
10
01
01
11
10
11
00
00
10
10
10
00
00
10
01
10
11
01
00
10
11
01
10
10
00
00
10
11
11
11
11
10
00
00
01
10
11
11
01
10
00
10
01
10
10
01
10
10
01
10
00
10
10
10
10
11
11
01
10
10
00
10
00
11
01
00
10
00
10
00
00
00
01
00
01
10
00
11
00
11
10
10
00
00
10
11
00
00
01
11
00
01
10
10
00
10
00
00
00
11
10
00
11
00
10
00
01
00
11
10
00
10
01
00
00
00
10
00
11
11
10
10
01
00
10
11
11
10
01
00
00
10
10
11
10
10
01
00
00
01
00
11
11
10
01
10
00
01
00
01
10
10
01
00
10
10
00
00
10
10
00
00
10
11
10
11
11
01
11
01
00
01
00
10
00
00
10
10
11
00
01
10
10
10
11
01
00
10
00
10
00
11
10
00
10
00
01
00
11
00
00
01
01
10
11
10
10
10
01
01
00
11
10
10
00
10
10
11
10
00
11
11
00
00
10
10
00
01
00
00
10
00
11
01
11
10
10
10
10
11
00
00
10
10
00
00
11
00
00
00
10
00
10
01
11
01
00
10
10
00
00
10
10
01
00
11
00
11
10
00
01
01
01
00
00
10
00
00
10
00
00
10
01
00
00
10
11
10
00
00
00
10
11
10
00
00
10
00
00
00
10
00
00
00
00
00
01
10
01
11
00
01
11
11
11
00
00
10
11
01
10
10
00
11
10
00
00
10
11
11
01
00
11
10
00
10
10
00
00
10
10
10
00
00
00
11
00
00
00
00
00
10
00
01
00
10
10
00
10
00
10
11
00
11
10
11
11
01
01
10
00
00
00
00
01
10
10
10
01
00
01
10
10
00
00
00
00
00
11
10
00
00
00
00
00
10
00
00
10
10
11
00
11
00
00
00
10
01
10
11
10
01
00
11
10
01
10
10
00
10
01
00
00
10
00
00
10
01
00
10
11
11
01
00
10
00
10
10
00
11
10
00
00
10
10
11
10
00
00
01
01
00
11
11
11
01
10
00
11
00
01
10
11
01
10
00
00
11
00
10
10
11
00
10
10
11
01
00
11
00
10
11
00
10
10
00
10
11
10
00
00
00
00
11
10
10
01
00
01
00
01
00
00
00
11
01
00
00
00
00
11
10
00
10
10
00
00
01
10
10
10
10
10
11
10
00
01
11
11
01
00
10
00
01
01
11
00
01
01
00
00
10
00
10
10
01
00
00
10
10
10
00
01
10
10
00
00
01
00
11
01
11
10
01
00
10
00
00
00
10
10
00
01
01
01
00
10
00
01
10
11
11
00
01
10
00
00
11
10
00
00
11
00
01
10
11
10
00
11
01
01
10
11
00
10
00
11
11
10
01
00
10
11
00
00
00
00
00
11
10
10
01
10
01
11
00
10
00
10
10
00
10
01
01
10
00
00
11
10
00
11
00
11
10
01
00
10
00
10
11
01
00
00
00
01
11
11
10
10
00
00
11
01
10
00
01
00
10
00
01
00
00
10
10
10
00
10
10
10
10
10
00
00
01
10
11
11
01
10
11
00
11
10
00
00
10
00
00
10
10
01
00
01
11
10
10
10
00
10
10
00
10
10
00
11
10
10
01
01
00
01
11
11
10
01
11
11
10
00
00
10
00
11
00
01
00
10
00
11
11
00
00
10
11
01
00
10
10
10
10
00
01
00
00
11
10
00
10
10
00
10
10
10
00
10
11
00
01
00
01
00
00
10
11
10
01
10
00
00
11
00
01
10
10
11
00
10
00
11
10
00
11
10
10
10
10
00
00
10
00
00
00
11
10
00
10
01
00
11
01
11
01
11
01
00
00
00
01
10
00
01
10
11
00
00
00
00
00
10
11
01
01
00
00
10
10
01
11
10
00
00
00
11
11
11
01
10
10
00
10
01
11
11
11
00
01
10
00
00
00
10
11
00
01
10
00
00
10
10
00
10
11
01
00
10
11
00
00
00
10
11
10
11
00
10
00
10
00
00
10
11
00
00
11
10
00
00
11
10
00
00
11
10
01
10
00
00
11
10
01
11
11
11
10
01
10
11
00
00
01
10
00
00
11
01
11
10
00
10
11
00
00
10
10
10
01
11
00
00
11
01
00
00
10
10
11
10
10
10
00
01
10
11
01
11
10
10
10
10
10
01
00
00
00
01
01
10
10
11
00
10
11
01
00
10
01
10
11
01
11
00
10
00
00
00
10
10
00
00
10
00
00
11
10
10
10
10
01
10
10
01
11
00
01
00
10
10
11
10
10
01
00
11
10
11
10
00
00
00
00
10
01
00
10
00
10
10
10
01
00
00
11
11
00
10
00
00
01
01
10
10
01
00
10
11
00
01
00
01
10
11
01
00
00
10
00
00
11
10
11
01
00
00
01
10
00
01
10
00
10
00
01
10
10
11
01
00
10
11
11
10
00
00
11
10
01
01
00
00
10
11
10
00
00
10
10
00
00
10
10
10
00
10
10
11
00
10
11
01
10
10
10
00
00
10
00
11
01
11
11
11
11
01
00
10
10
01
01
10
11
00
11
10
10
00
00
11
10
10
00
10
10
00
00
10
10
10
01
11
10
00
11
10
00
10
00
00
01
00
10
10
00
01
00
10
01
11
00
10
01
01
11
00
11
10
00
00
11
00
00
00
11
01
01
10
00
00
01
10
10
01
00
11
10
11
10
10
00
00
01
10
01
01
10
10
11
00
10
01
00
00
00
10
10
11
00
00
00
10
00
10
10
10
10
00
11
01
11
00
00
00
10
00
00
11
10
10
00
00
11
10
10
11
01
01
01
00
10
01
01
11
01
00
10
11
10
00
00
10
10
01
10
01
00
00
00
11
00
10
01
00
11
10
11
00
00
10
01
11
10
01
00
10
10
11
00
10
00
01
00
11
10
00
00
11
10
11
11
10
10
01
10
00
11
00
00
10
01
10
00
11
10
11
11
10
00
01
00
10
00
00
10
11
00
01
10
10
00
01
10
10
10
00
10
10
00
11
00
10
00
00
00
00
10
10
00
01
10
10
11
01
00
11
01
01
11
00
01
10
10
10
01
10
10
00
00
11
11
00
01
00
10
00
01
11
10
00
01
11
10
11
00
10
10
01
10
00
00
11
11
00
10
01
00
10
00
01
00
11
00
10
01
00
10
10
10
00
10
01
00
10
00
10
10
00
00
10
11
10
00
10
01
00
10
10
11
00
11
10
01
10
11
00
00
01
00
01
01
01
10
10
10
00
00
10
11
00
01
00
00
00
11
01
00
01
10
11
10
00
01
00
10
10
01
01
00
00
00
10
10
10
10
10
00
11
10
10
01
01
11
10
01
01
11
00
00
10
10
01
00
01
11
10
00
01
01
11
01
01
10
11
00
00
00
10
10
00
00
10
01
01
00
00
10
10
00
00
11
00
00
00
01
10
00
00
01
10
10
00
10
10
00
00
10
01
01
11
10
10
11
01
00
01
00
10
00
10
00
11
10
00
00
01
10
00
11
00
00
00
10
01
11
11
00
11
00
10
11
10
11
10
00
00
00
00
10
10
00
10
11
10
11
11
00
01
11
00
01
01
10
10
11
00
00
10
10
11
01
10
00
10
11
10
01
00
11
00
10
01
00
00
10
01
01
11
11
11
10
00
00
00
00
10
10
00
00
10
11
11
10
00
11
11
00
10
01
10
11
01
00
10
00
00
10
10
01
10
11
00
00
00
10
11
01
10
10
10
00
10
00
00
00
10
10
11
01
00
01
10
00
10
10
00
01
11
10
01
11
11
00
00
00
00
11
11
00
11
00
00
10
10
01
01
11
10
01
00
00
11
01
11
11
01
00
01
10
10
00
01
00
11
01
11
10
11
00
00
01
10
01
00
00
10
01
10
10
00
00
11
00
00
10
01
10
10
10
01
11
00
10
11
00
11
10
00
11
00
01
10
00
00
10
11
00
10
10
10
00
01
00
11
11
10
10
00
00
10
10
00
00
00
10
00
01
01
01
00
11
10
00
01
00
00
11
10
00
10
10
00
00
10
10
01
01
10
10
00
00
00
00
10
01
00
10
10
10
00
11
00
00
00
10
10
00
00
00
11
11
00
00
11
00
00
00
00
10
01
11
01
00
00
11
00
10
11
10
10
00
01
11
10
10
01
00
00
00
11
10
01
10
11
10
10
10
00
11
11
00
01
01
10
10
00
10
00
00
10
10
10
01
00
10
01
11
00
00
10
11
10
11
00
00
10
01
00
01
11
11
10
10
10
01
01
00
10
10
00
00
00
00
11
01
11
01
00
00
00
10
11
10
01
00
10
10
00
00
11
00
10
01
11
10
10
01
01
10
10
00
11
00
00
00
10
01
00
10
00
01
01
00
10
10
10
00
00
10
10
10
11
10
10
00
01
00
00
10
01
10
11
11
00
10
10
10
00
10
10
10
00
10
11
00
00
00
00
10
00
00
10
00
01
00
11
10
01
00
10
01
01
10
11
00
01
00
00
10
11
00
11
11
01
11
00
10
10
10
01
00
00
10
11
10
00
00
10
11
00
10
10
00
00
00
00
11
00
00
00
10
10
10
00
01
10
00
10
00
01
00
11
10
00
11
10
00
00
11
10
11
10
00
00
00
00
10
10
01
10
10
00
10
11
10
11
00
10
11
10
11
10
00
00
00
10
11
10
00
00
00
11
01
01
11
10
00
00
11
11
10
00
00
10
00
01
00
10
00
01
10
10
00
10
10
00
01
10
01
00
00
00
10
11
00
10
10
01
00
10
10
10
10
00
11
10
10
00
11
00
01
01
11
01
11
01
01
01
11
10
11
00
01
10
11
01
01
10
00
00
10
00
00
01
10
10
11
10
10
10
11
10
11
11
00
01
11
10
01
01
11
11
00
11
01
11
10
11
00
11
01
00
01
10
11
00
00
10
10
10
00
01
11
11
11
10
00
10
00
10
10
00
01
11
11
10
11
10
10
10
01
00
00
11
10
11
01
10
10
00
11
00
10
00
01
10
10
10
11
00
01
00
11
10
00
10
00
00
10
00
00
10
10
00
00
01
10
10
01
10
01
00
00
00
10
11
00
01
10
10
00
00
00
01
00
10
10
11
10
00
11
11
00
00
00
00
10
10
10
01
00
00
00
10
11
00
11
11
10
00
00
11
11
00
00
00
00
00
00
10
11
00
10
10
11
00
00
10
00
10
11
00
11
10
00
10
00
11
00
01
11
11
11
00
11
00
10
10
11
00
01
11
10
00
11
10
01
01
10
11
00
11
10
10
10
00
11
11
00
01
00
00
10
10
10
01
00
10
11
11
10
11
00
00
11
11
10
10
01
11
11
10
00
00
00
00
10
10
01
11
10
00
11
00
00
00
10
11
01
00
10
11
00
01
01
11
10
10
11
00
00
10
10
01
10
01
00
00
00
00
10
00
00
10
10
10
10
10
00
10
00
00
10
01
00
00
10
00
00
00
10
10
11
00
10
01
01
00
00
01
11
10
00
11
10
00
00
11
10
10
10
00
11
01
00
11
10
00
10
00
10
01
01
10
00
01
00
11
01
10
00
10
11
00
00
10
10
01
10
00
11
00
00
10
00
11
10
01
01
10
10
01
10
01
00
10
00
00
00
10
11
11
00
00
00
11
00
11
01
01
11
11
11
01
10
11
00
00
11
10
01
01
10
10
10
11
00
01
10
10
10
11
01
00
00
00
00
01
00
00
10
10
10
10
01
00
10
11
10
01
01
11
00
01
01
01
10
10
10
00
10
10
11
00
00
10
10
11
10
00
11
00
01
00
01
10
01
00
10
10
11
10
00
00
11
10
11
11
00
01
00
11
00
01
10
00
10
00
11
11
01
00
11
10
01
10
00
00
10
11
00
01
10
00
10
10
10
00
00
10
01
00
10
11
10
10
00
00
10
01
00
10
00
10
10
11
11
00
00
10
00
01
11
00
11
11
10
10
00
11
01
11
11
00
10
10
11
00
10
11
01
10
11
10
00
10
11
01
10
00
00
00
00
01
10
11
10
00
10
00
01
11
11
00
00
10
00
10
00
00
11
00
01
10
01
00
00
01
01
10
11
10
00
00
00
00
10
01
00
01
10
11
01
00
00
10
10
00
01
11
10
10
01
00
00
00
11
10
10
10
00
01
00
01
01
00
00
11
10
11
10
11
00
10
00
00
00
11
10
00
10
10
10
10
01
00
11
01
00
10
11
00
11
00
01
10
10
01
11
00
00
10
01
10
10
00
10
00
11
10
10
00
00
00
10
00
00
10
11
10
10
00
00
10
10
00
10
00
00
01
01
11
10
10
10
10
01
10
10
00
00
10
10
11
10
01
00
01
10
00
00
10
00
00
10
10
00
10
01
11
10
11
10
00
10
00
10
11
11
01
10
00
00
10
00
10
00
00
10
10
00
11
00
10
00
00
11
10
00
10
11
00
11
10
10
01
10
00
10
11
00
01
10
00
10
00
10
11
01
00
10
01
11
10
11
00
10
10
00
01
10
11
00
11
00
00
10
10
01
00
10
11
00
01
11
01
11
10
11
11
00
01
00
01
10
01
01
11
10
00
01
00
10
00
11
10
00
01
10
11
00
10
00
11
11
00
10
11
00
01
01
11
10
10
10
00
00
11
10
10
11
00
00
00
11
00
10
01
10
11
00
00
10
10
00
01
10
10
10
01
10
10
00
00
00
00
11
11
11
10
10
00
11
00
01
10
00
10
10
10
11
00
10
01
00
10
11
10
10
11
01
00
01
00
11
10
00
10
01
00
10
10
00
00
10
00
00
10
00
00
10
11
01
10
01
00
10
01
10
10
11
01
10
10
01
01
00
10
10
00
11
10
00
10
01
00
11
01
10
00
10
11
00
01
10
11
00
00
00
10
00
00
10
10
10
10
10
10
11
00
10
10
00
10
10
01
10
10
01
10
00
10
01
00
00
00
00
00
11
00
11
10
01
00
00
10
00
10
11
01
10
10
10
11
00
01
10
00
10
00
10
00
00
11
00
10
00
00
11
10
10
01
11
11
00
00
10
11
00
10
00
10
10
01
11
10
10
00
10
01
00
10
00
00
10
10
00
00
11
10
00
00
10
01
11
01
01
10
10
11
10
00
10
10
00
10
01
00
10
01
11
10
10
00
00
10
10
10
00
01
11
01
11
11
11
01
11
10
01
00
10
00
01
00
10
10
00
01
00
00
11
00
01
10
01
10
00
01
10
01
00
01
10
11
01
01
01
00
11
10
10
00
00
10
00
11
10
00
00
00
10
10
00
01
00
00
10
01
01
11
00
10
10
11
10
11
01
00
00
10
11
10
10
00
00
10
10
10
00
10
00
10
00
01
10
01
10
00
10
01
11
10
00
00
11
01
00
10
01
01
10
01
10
00
00
00
10
00
00
10
11
00
10
00
01
00
00
00
00
10
10
10
10
00
10
10
01
00
10
01
01
01
11
00
11
01
00
10
11
00
01
11
10
00
00
10
00
00
11
11
10
00
00
00
10
11
00
11
00
00
10
01
00
10
10
10
00
00
01
01
00
10
00
01
00
01
11
10
00
11
00
10
00
10
10
01
10
01
00
00
00
10
01
01
00
11
01
00
01
00
10
01
01
10
11
01
01
10
11
11
10
01
00
00
10
10
11
00
10
10
10
11
00
11
00
11
10
01
01
00
01
00
00
11
10
00
00
01
10
10
01
10
11
00
10
00
00
10
10
10
00
00
00
00
10
10
11
00
01
10
00
00
01
10
00
01
10
10
10
10
00
10
10
00
01
11
00
00
10
10
10
11
10
00
00
11
01
11
10
00
00
11
10
10
00
10
11
00
00
01
00
10
11
10
10
00
11
10
01
11
01
10
00
00
11
10
00
01
10
10
10
10
01
00
00
11
10
00
00
01
10
10
10
10
10
11
10
01
00
10
10
00
10
00
00
10
10
00
00
01
10
10
00
11
00
10
00
00
10
01
00
10
11
00
11
11
10
01
10
11
00
00
11
01
01
00
00
11
00
10
01
10
10
00
10
10
01
00
00
10
00
10
10
00
00
01
10
11
00
00
10
11
00
10
01
11
00
10
10
00
10
00
00
10
00
01
01
10
11
01
00
10
00
10
10
01
10
00
01
01
11
00
10
10
00
11
00
00
10
00
10
10
01
00
10
10
01
01
10
11
01
01
00
10
00
11
00
01
10
10
00
00
10
10
10
00
00
10
00
11
10
00
10
10
00
00
11
11
10
10
01
01
01
11
10
01
01
01
10
11
00
00
00
10
01
10
00
01
01
00
11
11
11
11
01
00
10
10
10
00
00
00
00
10
00
11
01
00
01
01
11
11
10
00
10
10
00
00
10
10
01
00
00
10
11
01
01
00
11
10
00
10
11
11
01
00
10
10
10
11
00
10
11
00
11
00
00
00
00
01
10
10
00
00
10
01
00
10
10
10
01
10
00
00
00
10
00
11
10
11
00
00
00
10
00
01
00
10
10
10
11
11
00
01
00
00
01
10
11
10
01
11
01
01
00
01
10
11
00
00
10
00
00
11
00
00
10
01
10
11
00
11
00
01
00
00
10
00
10
11
00
00
11
10
00
10
01
11
10
00
01
11
10
00
00
10
11
00
10
01
10
11
00
11
00
10
01
10
00
00
11
10
01
00
10
01
01
00
00
11
11
00
00
00
10
10
01
00
10
10
01
00
00
01
10
00
00
00
00
01
00
11
00
00
11
01
01
01
00
10
10
11
10
10
00
00
00
11
10
11
10
00
10
00
00
00
00
10
00
00
01
00
00
10
00
01
10
00
00
01
11
11
00
10
00
00
00
11
10
11
10
00
00
10
10
00
00
11
00
00
00
11
00
00
10
00
10
10
10
10
11
10
11
11
01
10
01
10
00
10
00
00
10
00
11
10
00
10
11
00
10
10
01
10
01
10
10
01
00
10
10
10
01
01
10
01
01
01
11
10
00
11
10
11
00
00
11
10
10
00
10
10
00
11
10
11
11
00
01
00
00
01
00
11
00
10
10
00
11
00
10
11
01
00
01
10
10
00
10
10
10
10
01
10
00
01
00
10
00
10
00
11
10
00
10
10
11
10
01
00
10
11
00
00
10
00
00
00
10
10
10
10
10
00
01
11
11
01
01
10
10
00
00
10
10
01
00
10
11
10
11
11
00
11
01
10
11
00
10
10
10
00
01
11
10
10
10
10
11
01
00
10
10
11
00
10
10
00
00
10
00
10
11
11
10
11
11
00
10
10
01
10
01
00
11
11
00
01
00
11
10
01
00
01
00
11
10
01
10
11
00
00
00
10
10
01
01
10
11
00
11
10
10
00
00
10
10
00
11
00
00
00
10
00
11
10
01
01
11
10
10
10
10
00
00
00
10
11
00
00
10
00
10
10
10
11
00
10
10
11
00
11
11
10
11
10
00
00
00
00
10
11
01
01
11
00
00
10
11
10
00
00
10
10
01
11
10
10
00
10
10
00
01
00
11
01
01
00
01
01
10
01
00
00
10
00
10
01
11
11
00
01
10
01
00
11
00
00
11
10
10
01
10
11
10
10
00
01
10
00
10
10
10
00
10
00
11
11
00
01
00
00
00
00
10
10
10
00
10
10
11
10
00
00
00
10
00
10
10
11
00
00
11
00
01
01
00
10
10
10
00
11
01
01
11
00
01
10
00
10
10
01
00
11
01
00
11
10
01
00
10
01
01
11
01
00
10
01
00
00
11
01
01
10
01
10
11
11
10
00
01
10
10
01
00
10
11
11
01
00
10
11
01
11
00
00
10
00
00
00
00
10
10
00
00
00
00
11
01
10
11
10
10
00
00
00
10
10
01
00
10
10
10
11
00
01
10
11
00
01
10
10
10
00
00
10
00
00
10
00
10
10
11
01
10
10
00
10
10
10
10
00
01
11
11
00
10
00
00
10
10
11
01
10
10
00
00
00
00
00
01
10
10
00
00
11
01
01
11
10
10
10
00
11
11
00
00
11
00
10
11
00
00
10
10
10
10
00
00
00
10
01
11
11
00
00
00
10
10
10
01
11
10
00
00
10
10
11
00
01
10
11
00
00
01
11
01
01
10
11
10
01
11
00
00
00
10
00
10
10
00
10
00
11
10
10
11
00
11
11
00
10
10
01
10
10
10
01
01
11
01
10
00
10
01
11
11
00
01
01
10
11
10
10
00
11
10
01
10
10
01
00
00
11
10
00
00
11
00
10
00
10
10
10
10
01
10
01
00
10
11
00
00
11
00
01
11
11
10
10
10
10
00
01
10
01
01
00
10
11
10
00
00
11
10
10
11
10
10
10
00
01
10
00
00
00
11
10
10
00
01
11
10
11
01
00
00
10
00
10
11
00
00
11
10
00
10
00
10
00
00
10
00
00
10
10
10
00
10
10
01
10
11
11
11
01
10
10
00
00
10
11
01
01
11
10
11
00
00
01
01
10
01
10
11
11
01
00
00
01
11
11
01
00
10
10
10
11
00
01
10
11
10
00
01
11
01
10
10
01
00
11
10
10
00
00
10
10
00
01
00
00
10
10
10
01
00
10
10
01
00
00
11
01
11
11
10
01
00
11
00
11
11
00
10
11
10
11
10
01
10
11
10
11
10
00
00
11
10
00
00
10
10
01
10
00
11
10
01
01
00
10
10
00
00
10
00
00
00
10
01
11
01
10
10
01
10
00
00
10
10
10
10
01
11
01
00
10
10
10
00
00
00
11
10
10
10
00
10
11
00
10
11
00
01
11
00
01
10
00
01
10
11
11
00
00
00
11
10
00
00
01
10
10
11
10
00
11
00
00
10
11
10
10
00
11
01
01
00
00
00
10
00
01
00
10
11
00
11
00
00
11
10
00
10
11
00
10
10
11
10
10
00
00
01
00
10
10
00
00
00
00
10
00
11
00
00
00
00
11
10
01
11
00
01
11
10
10
01
01
10
00
01
10
10
00
11
10
11
10
00
01
00
11
10
10
00
10
00
01
10
10
00
10
01
10
01
00
11
01
00
00
10
11
00
01
11
10
10
00
00
01
00
10
10
01
00
01
11
00
01
10
10
01
00
10
10
11
10
00
11
11
01
01
00
00
00
11
10
11
00
00
00
00
00
10
10
00
11
00
01
11
01
11
00
10
01
11
11
00
00
10
11
01
01
11
11
00
11
00
00
00
10
10
01
00
11
00
00
00
00
10
10
00
10
00
01
10
11
11
10
00
11
10
00
01
10
11
11
01
01
10
10
01
00
11
10
00
01
10
10
00
10
10
01
00
11
00
11
00
00
00
10
10
01
00
01
01
00
00
10
10
10
01
10
10
11
00
00
00
11
00
00
01
10
10
01
10
10
10
00
10
10
01
01
10
00
01
01
10
11
10
11
10
01
00
01
11
11
00
01
10
11
00
11
00
00
11
11
10
00
10
11
11
00
01
00
00
00
11
00
00
10
01
00
10
00
00
10
10
11
11
10
01
11
10
10
11
00
10
10
01
10
10
00
00
10
10
10
10
00
10
10
10
01
00
10
00
11
00
10
11
00
01
00
11
10
10
00
01
10
01
10
10
10
00
10
11
00
00
00
00
00
11
10
10
00
00
10
10
10
01
10
01
10
10
11
11
01
10
10
00
10
11
10
10
01
00
10
10
11
00
00
10
10
11
00
00
10
10
01
10
10
00
00
01
01
11
10
00
11
10
11
00
01
10
10
11
11
10
01
00
10
11
10
00
10
10
00
10
10
10
10
10
10
10
11
01
00
10
11
00
11
11
00
10
00
00
10
00
01
00
10
10
11
11
00
00
10
00
01
00
01
00
10
01
10
00
11
11
00
01
10
10
00
01
00
10
11
00
00
10
10
01
00
11
00
10
10
10
00
01
01
10
01
10
10
00
00
10
10
01
01
00
00
10
11
00
10
10
00
01
10
11
00
00
11
01
10
10
10
00
11
01
01
11
10
00
10
10
00
10
00
01
10
11
10
00
10
11
10
01
00
10
01
10
10
00
00
10
11
00
10
10
00
00
01
10
00
00
10
10
10
00
11
10
10
11
00
10
11
10
01
00
00
00
01
10
10
00
01
11
10
01
10
10
10
00
01
10
00
01
10
10
00
11
11
10
11
10
11
00
00
11
01
00
00
01
10
00
00
10
10
11
00
00
10
11
10
01
10
10
00
01
10
01
00
10
00
01
00
00
10
10
10
11
00
00
00
11
10
11
00
10
11
00
10
00
10
10
10
10
00
10
10
11
10
00
00
11
10
00
10
00
11
10
11
00
00
00
00
00
10
10
01
01
10
10
10
10
11
10
01
01
11
10
01
10
10
10
00
10
10
00
00
00
10
00
00
10
10
11
10
00
10
00
01
00
10
11
00
01
00
10
01
11
00
11
11
00
01
10
10
01
00
10
10
00
00
00
11
10
10
10
00
01
10
01
00
11
00
10
00
00
11
11
10
01
10
00
01
10
11
10
01
00
11
00
00
10
01
10
10
00
00
00
01
10
00
10
00
00
00
10
10
11
10
00
00
00
11
00
11
11
00
11
10
01
00
00
00
10
10
00
01
10
01
10
11
00
01
00
00
10
00
00
10
00
10
00
00
01
10
10
10
00
00
11
10
10
00
10
11
00
10
01
00
00
10
00
00
01
10
10
01
00
01
01
01
11
01
00
11
00
00
10
11
01
10
10
00
01
00
11
00
11
01
00
11
11
10
01
01
11
00
11
11
01
01
01
11
10
10
11
00
00
10
00
00
10
10
01
01
10
11
00
01
10
00
00
11
11
10
10
01
00
11
01
10
01
11
01
10
10
01
10
11
00
00
10
10
01
00
10
10
00
00
10
11
00
00
01
01
10
00
00
00
00
10
11
10
10
00
10
00
01
00
01
10
10
10
00
10
01
00
11
01
10
01
00
10
00
10
10
01
10
11
10
10
00
00
01
11
10
01
00
00
10
11
00
00
10
10
10
10
00
00
01
10
10
10
10
10
11
00
10
00
00
00
00
01
11
11
01
11
10
01
01
01
10
11
10
00
11
01
01
10
00
10
00
00
10
10
00
01
10
11
11
00
10
00
00
10
10
10
00
00
11
11
01
00
00
11
01
11
10
10
00
01
11
11
00
10
10
00
10
11
11
00
01
10
10
00
00
10
11
01
00
11
00
00
00
01
11
11
10
00
00
10
00
10
10
00
10
00
01
00
11
10
11
00
11
10
00
10
10
00
01
00
10
11
10
10
10
01
00
00
00
10
10
10
10
00
10
10
11
11
01
00
11
00
00
11
10
01
11
10
00
01
11
11
00
00
00
11
00
00
10
11
00
00
01
10
00
00
10
01
11
00
11
01
10
11
11
11
00
01
11
11
00
00
00
00
00
10
00
10
10
10
10
00
10
10
00
10
00
10
00
00
11
01
11
10
00
01
11
11
11
11
00
10
11
00
01
00
10
10
00
01
00
01
11
10
00
11
00
01
00
10
10
01
00
11
00
10
01
01
10
10
00
00
00
11
10
00
01
10
00
11
00
00
00
11
10
01
00
10
10
10
00
00
00
11
10
11
10
00
11
00
00
10
00
01
10
11
01
00
00
00
10
00
11
00
10
11
00
10
10
11
00
10
10
10
01
00
00
10
10
00
10
00
00
10
10
00
10
10
00
11
01
10
10
00
10
00
00
10
10
01
11
00
00
00
00
00
00
01
10
10
00
00
10
11
10
11
01
00
11
00
01
01
00
10
00
00
10
01
00
10
01
00
11
10
00
00
00
10
11
11
00
00
10
10
00
00
01
10
10
00
01
10
00
10
10
10
00
11
01
10
10
01
11
01
10
10
01
10
00
01
11
00
10
00
11
00
00
11
00
10
01
00
00
00
00
11
01
00
10
00
01
00
10
00
10
01
10
10
10
11
00
10
01
01
11
11
00
01
00
00
00
11
00
00
00
10
10
01
00
11
10
00
10
01
00
10
10
00
00
11
11
01
10
11
00
11
01
00
11
01
10
10
00
00
10
10
00
00
11
01
01
00
00
00
01
11
10
11
10
10
10
10
10
01
00
10
11
10
01
00
00
10
10
01
10
01
10
00
01
11
11
01
01
10
11
01
10
01
00
11
10
10
01
00
10
00
01
10
00
00
01
00
10
00
00
01
00
10
10
00
10
10
10
00
00
10
00
10
01
10
00
11
01
00
10
10
10
11
01
00
10
10
11
10
00
00
10
10
00
00
00
11
00
00
10
10
00
00
00
11
00
11
10
10
10
01
11
00
01
00
10
11
10
01
01
00
11
10
01
10
10
00
10
01
00
01
01
10
11
00
11
11
00
00
11
11
10
00
00
10
00
10
01
00
10
01
01
10
00
01
10
00
00
10
11
10
01
00
01
00
11
10
00
10
10
00
00
10
00
01
10
00
01
00
00
10
10
10
11
10
00
10
10
00
00
11
00
10
10
01
10
11
10
00
01
10
00
00
01
10
00
10
00
00
01
11
11
10
00
10
11
00
11
00
11
10
00
10
10
10
00
11
11
10
01
00
11
00
10
01
11
10
00
10
01
00
10
10
11
00
01
00
00
00
10
00
00
10
10
00
10
00
11
11
10
10
10
00
00
01
01
11
11
11
11
00
10
10
01
00
01
00
10
00
10
11
10
10
01
00
10
10
10
00
10
00
00
00
00
10
11
00
00
10
11
00
00
01
10
10
01
10
10
00
11
10
00
11
01
00
10
01
11
00
10
10
00
00
10
10
11
00
10
11
01
01
00
00
10
11
11
11
10
01
10
11
11
01
00
10
10
01
10
10
00
00
10
01
00
11
11
01
11
00
01
11
11
00
11
00
01
10
11
11
10
11
00
01
10
00
00
01
00
00
01
10
11
01
00
11
00
10
00
00
10
11
11
00
11
01
10
10
00
00
10
00
00
00
01
10
00
10
00
00
10
11
11
01
10
01
00
11
10
10
01
01
10
10
00
00
00
01
00
10
00
00
00
10
10
10
10
00
00
01
01
11
11
10
00
11
00
11
11
10
00
00
01
00
11
10
10
10
10
00
00
00
11
10
11
10
01
10
00
10
10
00
01
10
00
01
11
00
11
11
01
10
10
00
10
00
11
10
00
01
00
00
00
10
00
00
10
11
10
00
00
00
11
10
10
00
00
11
10
11
00
10
00
00
00
11
00
01
11
10
10
00
10
10
10
00
00
11
01
01
00
10
10
10
01
00
10
11
10
01
10
00
00
10
00
00
01
10
10
00
00
11
01
10
10
11
00
10
00
00
01
10
10
00
11
11
11
00
00
10
10
10
11
00
00
01
00
01
11
11
00
10
10
10
10
01
01
10
01
11
00
11
00
10
11
00
11
01
01
00
01
10
11
00
11
00
01
00
11
10
10
10
01
00
11
00
00
00
00
00
00
10
10
01
00
10
01
00
10
11
10
00
01
10
10
10
11
10
00
00
10
11
10
01
00
00
10
10
10
00
00
10
10
00
10
11
00
01
00
00
10
00
00
10
10
01
01
01
01
10
10
10
10
00
00
10
10
00
11
00
01
00
11
10
10
01
00
10
11
00
00
10
01
00
10
11
10
10
10
01
00
11
10
00
01
11
01
10
11
01
01
10
00
01
10
00
00
11
10
10
10
00
01
00
10
01
10
10
10
10
10
11
10
00
00
11
11
00
11
11
00
00
11
10
00
00
10
10
00
10
10
10
00
00
00
11
10
10
00
01
01
01
10
10
10
01
01
10
01
00
00
11
00
10
10
11
00
10
01
01
00
00
01
10
10
00
00
11
00
00
01
10
00
11
00
00
10
11
10
11
11
10
10
01
00
10
00
01
10
10
00
00
00
10
00
10
00
01
00
10
00
00
00
11
10
00
00
10
00
10
10
00
00
00
01
10
01
10
00
01
10
00
11
10
00
00
11
00
11
01
10
01
00
11
10
10
00
01
01
11
10
11
00
00
00
00
11
10
01
00
11
10
00
10
10
00
00
00
10
00
10
01
01
10
10
01
10
01
00
01
00
10
10
10
10
00
11
00
01
11
10
11
11
10
00
10
00
10
10
00
00
11
00
10
11
00
10
01
00
11
11
01
00
10
10
10
10
00
00
01
00
01
10
01
11
00
00
00
00
10
11
00
00
00
00
10
01
10
10
01
00
11
00
00
10
11
00
01
01
10
10
10
10
10
11
00
10
00
00
00
00
10
10
00
00
11
11
00
01
01
01
00
00
11
11
00
00
10
10
00
10
10
00
10
00
11
01
00
00
10
01
11
00
10
11
11
01
00
10
00
00
11
00
10
10
00
10
10
01
00
01
00
11
11
01
00
01
10
10
10
00
10
11
00
10
11
01
10
11
11
00
10
11
00
00
10
11
10
10
10
01
10
10
00
00
00
01
00
10
10
10
11
00
01
01
01
10
01
00
00
00
00
11
10
01
00
10
11
10
11
10
10
00
00
10
10
10
01
00
00
10
10
00
01
00
11
10
00
11
00
01
10
00
10
10
11
00
00
10
00
00
01
00
10
00
00
01
00
11
10
00
10
00
00
00
10
10
10
00
11
00
11
01
00
01
00
10
00
01
11
11
10
00
11
10
10
00
10
00
00
00
11
10
11
11
11
01
11
01
00
01
00
10
10
01
00
10
10
00
10
01
00
00
10
10
00
11
00
10
01
11
00
00
00
00
01
01
10
10
00
01
10
01
01
00
10
01
10
10
00
00
10
11
00
11
10
10
00
11
11
00
00
10
00
00
10
10
00
00
01
01
11
11
00
10
00
00
00
10
10
00
11
00
11
00
01
10
10
10
00
10
10
00
00
10
00
10
10
10
10
01
10
00
00
01
10
01
01
11
11
00
00
11
10
00
00
11
10
01
00
10
11
11
11
10
00
00
00
11
10
01
00
11
01
00
11
10
01
01
11
10
10
00
00
10
10
10
00
00
10
11
00
00
10
00
00
00
10
10
00
10
10
10
01
10
10
00
00
00
00
10
10
00
10
10
10
00
01
10
10
01
00
00
01
11
11
10
01
00
10
00
10
10
10
00
00
00
00
01
01
01
11
00
11
00
10
10
11
00
00
11
01
01
01
00
10
00
11
01
10
11
00
00
00
00
10
01
01
10
11
00
00
11
00
10
00
10
10
11
10
10
10
01
10
00
11
00
00
10
11
00
01
11
01
10
01
01
10
01
00
10
10
11
00
01
00
10
11
01
00
11
10
01
00
11
10
10
00
00
11
00
11
01
10
11
00
00
00
01
11
10
00
00
00
11
10
01
00
10
10
10
00
11
11
01
00
10
00
11
01
01
11
10
01
01
01
10
01
01
10
00
00
10
11
00
01
10
00
11
10
01
11
10
01
00
00
10
11
11
10
10
00
10
00
10
11
00
10
00
01
01
00
00
11
11
10
00
00
10
11
00
00
11
10
11
10
01
01
10
01
00
11
10
10
00
01
00
10
10
00
01
10
00
11
10
01
00
01
10
01
01
10
01
11
11
00
10
11
00
00
10
11
01
00
11
10
11
00
00
00
00
00
10
00
11
00
10
10
10
01
11
11
00
01
10
10
11
10
00
01
11
11
10
00
01
10
11
01
00
10
11
00
11
10
00
01
10
10
11
01
01
11
10
00
11
10
00
11
10
01
10
10
01
00
00
11
01
00
11
10
00
00
11
10
01
01
11
01
00
00
11
00
11
11
00
01
10
00
11
10
00
11
11
01
00
11
00
01
11
01
11
10
00
01
11
10
11
00
01
10
10
10
10
10
00
10
10
10
11
00
01
00
10
00
01
00
00
10
10
10
10
10
00
00
10
00
00
10
00
01
10
10
10
01
00
10
00
01
00
11
10
01
11
10
01
10
10
10
00
10
10
11
00
00
10
10
11
00
10
10
00
10
01
00
10
10
00
10
00
10
10
10
00
00
11
00
10
10
00
10
00
11
10
10
00
00
00
11
00
01
10
11
10
00
01
10
01
00
11
00
00
01
11
10
01
11
10
01
01
00
10
01
01
11
10
01
10
10
10
11
10
10
00
00
00
00
00
10
01
01
10
11
00
10
00
00
10
00
10
10
00
11
00
10
01
10
10
11
11
00
10
00
10
11
10
11
00
10
10
00
01
00
10
00
01
00
10
01
00
10
10
10
10
01
01
11
11
00
00
01
11
10
00
00
10
00
00
10
10
10
00
10
00
01
01
00
00
11
11
01
01
10
10
00
00
01
11
10
00
10
10
00
01
10
10
00
00
00
00
11
00
10
00
10
01
10
10
00
01
10
11
00
00
00
11
01
10
10
00
00
00
10
10
10
01
01
10
00
10
00
10
00
11
10
00
00
00
10
00
11
11
10
00
11
10
00
00
00
10
00
00
00
01
10
11
10
00
10
00
10
00
01
10
01
10
00
11
00
00
00
00
11
11
00
00
10
10
01
10
01
10
10
01
00
10
01
11
11
11
00
00
00
00
10
10
01
00
00
00
00
10
11
01
01
00
00
01
11
10
10
01
01
00
00
10
01
10
10
11
10
01
10
10
00
00
10
00
00
10
00
00
11
10
10
00
11
00
01
01
00
00
10
00
10
10
01
00
01
10
11
00
10
00
11
11
00
11
11
10
10
00
10
10
10
00
01
11
11
00
01
00
00
00
11
10
00
01
11
11
00
00
10
10
10
00
10
10
00
00
00
00
11
11
10
11
00
01
01
10
00
00
11
11
01
11
00
10
00
00
11
10
00
00
01
00
00
11
11
10
00
11
00
10
11
00
01
01
00
11
00
11
10
10
10
01
00
11
11
00
10
00
10
10
11
00
00
01
10
00
00
00
10
11
00
00
01
10
00
10
10
10
10
10
00
11
01
10
00
00
01
10
01
00
10
10
01
00
00
11
10
00
00
11
00
00
10
11
01
00
10
10
00
00
00
10
10
00
01
00
00
10
10
10
00
00
10
00
00
10
10
10
01
00
10
00
10
10
11
00
00
01
10
00
01
11
11
11
00
01
11
00
11
10
00
00
11
01
01
10
11
10
00
00
10
00
00
00
10
00
11
11
00
11
00
00
10
10
01
01
01
11
11
00
00
11
10
01
10
00
00
11
00
10
11
10
00
00
11
11
10
10
00
10
01
00
10
00
00
01
01
10
11
01
01
01
10
00
00
11
11
01
00
10
00
10
10
01
00
10
11
10
10
10
11
01
10
10
01
00
10
10
10
00
10
10
10
00
10
10
00
10
11
00
10
10
01
01
01
10
11
00
10
11
00
10
10
00
01
11
11
01
01
00
11
00
10
11
11
00
00
01
10
01
00
11
10
00
10
00
00
00
00
00
01
10
00
01
11
11
00
00
10
10
00
00
10
10
10
00
01
11
01
10
10
10
11
10
01
00
10
01
00
00
10
00
01
10
10
01
01
00
01
10
10
00
10
01
00
00
00
10
11
11
10
01
00
10
10
10
00
00
11
10
10
01
00
01
10
10
10
00
00
11
01
00
10
11
00
01
11
10
10
10
00
00
11
00
10
01
00
00
10
10
00
01
11
11
01
10
01
10
01
00
10
10
00
00
10
11
00
10
00
00
10
10
00
11
00
01
10
01
11
00
11
00
01
10
11
10
01
10
10
00
00
00
01
10
01
00
11
01
00
10
00
11
10
01
00
10
11
00
01
00
11
11
11
00
10
00
11
01
00
10
10
10
00
01
10
00
01
10
10
00
00
10
11
00
01
10
01
11
11
11
11
10
00
00
00
11
10
10
10
00
00
10
10
10
00
10
11
11
00
10
01
10
11
10
00
00
10
00
11
10
10
00
00
00
00
00
11
11
00
00
01
10
10
01
10
00
11
11
10
01
00
01
11
10
00
10
11
00
10
10
10
00
11
10
00
00
11
10
00
01
01
10
01
00
11
10
00
11
01
10
11
11
00
00
01
00
10
11
00
11
00
10
01
00
11
00
10
10
11
10
10
10
00
01
01
00
11
11
00
00
00
01
11
10
00
00
11
11
10
01
00
10
00
00
10
11
00
10
10
00
11
01
11
01
10
10
01
00
00
11
10
00
10
10
10
11
00
10
00
01
00
10
01
00
10
00
01
11
10
10
10
01
00
10
01
10
01
00
00
11
10
01
00
00
10
10
11
11
11
00
11
10
01
11
10
00
01
10
11
00
11
10
00
10
01
10
00
00
10
11
11
00
10
00
00
00
00
10
11
01
00
01
10
01
00
00
00
10
01
00
01
00
00
11
00
10
10
10
00
00
01
11
01
01
10
10
10
01
10
00
00
10
11
01
00
00
01
10
10
11
10
00
00
11
00
10
01
11
00
01
01
00
11
10
01
00
10
10
10
11
00
10
00
10
10
11
00
00
00
00
10
11
01
10
00
00
11
10
01
10
00
00
10
10
00
10
01
10
00
10
10
10
00
11
01
11
10
00
10
00
00
11
01
00
01
00
11
01
01
10
00
11
00
00
10
10
00
00
00
10
00
01
00
01
11
00
00
00
00
10
10
01
10
10
00
00
00
01
01
11
10
11
01
00
00
00
01
10
11
01
10
01
00
10
10
01
00
10
11
00
10
10
00
10
00
10
01
11
10
01
00
00
10
01
00
10
10
00
10
00
00
00
10
00
10
10
11
00
10
00
10
00
10
10
10
00
00
11
11
00
01
00
10
10
10
00
10
10
10
00
00
01
00
00
10
10
10
00
10
10
01
10
10
00
01
00
00
00
00
00
00
10
10
11
00
01
10
00
00
11
00
00
00
10
10
10
00
00
11
10
00
00
01
10
10
00
00
10
10
00
00
00
10
10
10
11
11
10
11
01
10
01
00
00
10
00
00
11
00
11
11
00
10
10
00
10
10
10
00
00
10
00
10
00
11
11
10
11
00
00
00
10
10
01
00
11
01
00
00
11
00
11
10
11
00
01
11
10
01
10
10
10
00
01
10
01
00
01
10
10
11
00
00
11
10
01
10
01
00
00
01
10
10
01
11
10
00
01
10
10
11
00
01
01
00
00
10
11
01
00
10
10
10
11
01
00
10
01
00
01
10
01
01
10
11
10
10
01
01
10
10
10
01
00
00
00
01
11
00
01
11
00
00
10
00
10
00
00
00
01
11
01
00
01
00
01
10
10
10
01
00
10
00
00
00
10
11
10
11
01
11
00
00
00
11
11
11
00
00
10
10
00
10
11
01
00
00
10
10
11
11
01
01
10
10
10
00
10
10
10
00
00
11
10
01
10
00
00
00
10
10
01
01
10
10
10
00
00
10
10
01
00
10
00
10
10
00
11
01
10
00
00
10
11
10
00
10
00
00
00
10
00
11
10
00
11
10
00
11
00
10
01
10
00
11
00
01
10
00
11
10
00
10
00
01
10
11
10
00
10
10
00
00
10
11
00
00
00
10
11
01
01
10
11
11
11
00
00
00
01
00
11
01
10
11
01
10
00
11
10
00
11
00
00
11
00
11
00
10
11
10
10
00
01
10
11
11
01
01
11
00
00
01
00
11
11
10
01
01
10
00
00
10
10
10
00
00
10
00
00
10
10
10
10
00
11
10
01
10
00
00
10
10
10
00
01
00
01
11
00
01
10
01
01
01
01
10
00
00
00
11
10
10
01
10
01
11
01
01
10
00
00
11
10
01
00
10
00
11
10
01
10
01
11
11
01
00
10
11
11
01
10
10
00
01
10
01
00
10
10
00
00
01
00
11
00
00
10
11
01
10
01
01
00
01
10
10
11
01
01
10
11
00
00
11
10
00
00
10
00
01
10
10
11
11
10
00
00
00
00
01
11
00
00
10
00
00
11
10
00
00
11
01
00
11
11
11
10
00
00
10
10
00
10
11
00
01
00
10
10
01
00
00
11
10
00
01
00
01
10
00
01
00
10
11
00
01
10
01
00
01
01
10
10
10
01
00
01
01
10
00
10
10
10
10
11
00
01
11
11
11
11
00
01
00
10
10
10
00
01
00
11
00
01
10
10
10
00
00
10
00
00
10
01
00
10
01
10
01
10
10
11
11
00
00
10
10
00
10
11
01
00
10
10
10
10
01
00
10
00
10
10
00
00
00
10
10
10
10
00
10
01
01
11
10
10
11
00
10
11
00
00
11
10
00
00
10
10
01
10
10
00
11
00
00
01
01
11
10
00
01
10
00
00
11
10
00
00
10
01
01
00
00
00
10
10
00
00
10
10
11
00
00
01
00
10
10
10
00
11
01
10
00
11
10
01
10
01
00
11
00
01
10
10
10
00
01
00
00
10
00
00
00
11
11
00
00
10
10
00
00
00
01
01
11
10
01
00
00
11
01
10
11
11
10
00
10
10
01
01
00
10
11
00
01
01
10
10
10
00
00
01
10
10
01
10
10
11
11
11
11
10
00
10
11
10
10
00
00
10
10
10
01
00
00
10
00
01
00
11
00
00
10
10
01
10
10
00
01
00
01
00
10
11
00
01
10
11
01
00
11
11
10
00
10
10
00
11
10
10
00
00
00
01
11
11
10
01
01
10
10
00
10
00
01
11
00
10
00
11
00
10
10
01
10
10
00
00
10
10
10
00
00
00
11
10
11
10
00
10
00
10
00
11
00
00
11
11
10
00
10
10
00
10
11
11
00
11
00
10
11
00
00
10
10
00
10
00
10
10
10
00
10
00
01
11
00
11
11
10
10
00
01
00
10
10
10
01
00
01
01
10
10
11
00
10
00
01
11
11
01
00
11
11
10
10
00
00
11
00
00
10
01
10
00
01
10
10
00
10
01
00
10
11
10
00
10
10
10
11
11
01
01
10
11
01
00
01
10
10
11
00
01
11
00
00
11
10
11
00
01
10
11
00
11
10
10
10
00
00
00
00
10
00
01
11
00
01
11
10
00
00
10
11
00
01
00
11
10
01
00
10
10
00
00
00
00
11
10
11
01
10
10
00
10
10
00
01
01
01
11
10
10
10
00
10
01
10
00
10
11
00
01
00
10
10
00
01
11
11
00
01
11
10
11
01
11
10
00
00
10
01
00
10
10
01
00
10
10
11
11
10
11
00
11
01
10
11
00
00
10
00
01
10
01
01
00
01
00
00
00
00
10
11
00
00
01
10
00
00
10
00
10
10
10
11
00
11
01
10
10
01
10
00
01
01
00
10
01
00
10
10
10
00
10
10
00
10
11
11
00
01
10
11
00
11
10
00
00
11
00
00
10
00
01
10
11
00
10
00
00
00
10
10
00
11
10
00
00
10
00
01
11
10
11
10
00
00
00
01
10
00
10
10
00
10
00
10
10
00
10
01
10
11
11
11
11
10
10
01
10
10
00
01
11
11
01
11
00
01
10
00
00
00
11
00
00
10
00
01
00
11
11
00
00
11
10
00
11
10
01
00
10
01
10
10
00
10
11
00
00
11
01
00
10
00
10
00
10
10
00
00
10
11
11
11
10
11
11
11
10
00
00
11
11
00
00
11
00
10
00
10
10
10
10
10
10
00
01
10
11
10
01
10
01
01
10
01
11
10
10
10
00
00
01
10
11
00
11
11
10
10
10
00
10
10
00
00
00
11
10
01
00
10
00
00
00
10
10
11
00
00
10
11
10
00
01
00
10
00
00
10
00
11
10
10
00
01
00
11
00
10
01
10
10
01
00
10
10
00
00
10
10
10
01
01
00
00
11
00
11
01
00
11
10
00
10
11
00
10
11
10
01
00
10
11
10
11
00
00
10
10
11
00
10
10
00
10
10
01
10
10
10
00
01
11
00
10
00
00
10
00
00
00
10
11
11
10
10
01
00
11
00
00
11
10
00
10
01
00
11
11
01
00
00
00
00
00
11
11
01
10
00
11
01
00
10
10
00
10
10
00
00
00
10
00
10
00
11
11
11
00
11
10
00
00
10
11
10
00
00
01
11
10
11
01
00
00
01
10
11
10
00
10
00
00
10
00
01
10
11
11
10
00
10
10
00
01
10
00
10
01
10
10
11
11
00
00
10
10
10
01
00
10
10
11
10
01
00
10
10
10
11
00
01
00
00
00
01
10
10
11
11
00
10
10
00
00
00
11
10
00
00
00
10
10
10
00
11
10
00
11
10
11
01
00
10
01
00
10
10
01
00
00
00
01
00
10
10
10
01
00
10
01
00
10
11
00
00
10
10
11
11
10
01
10
10
00
00
10
01
10
10
11
10
11
01
10
10
00
10
10
01
01
11
00
11
11
01
00
11
01
01
00
10
11
00
11
10
00
00
00
00
11
00
00
01
11
10
00
10
10
00
11
10
00
10
10
00
10
10
01
10
00
10
10
10
01
11
01
00
11
00
00
11
10
11
00
10
10
01
00
10
10
00
01
00
10
10
11
01
00
11
00
00
00
10
10
00
10
10
00
01
00
10
01
10
00
01
10
00
11
10
10
10
00
00
11
00
00
10
10
11
00
10
10
00
11
00
01
01
00
10
11
00
01
00
11
00
00
10
11
10
11
10
00
00
11
11
00
10
10
11
00
00
11
00
10
11
00
01
11
11
01
00
11
00
10
00
00
10
00
10
10
10
00
00
11
10
10
00
11
00
01
00
00
10
10
01
00
00
10
11
10
11
10
00
10
11
00
01
11
11
01
11
01
11
00
00
11
10
01
00
10
00
10
00
00
01
01
10
10
10
00
11
00
10
01
01
10
11
10
01
10
11
00
11
00
01
11
10
10
11
00
01
10
10
00
00
10
10
10
00
10
00
01
00
10
10
00
11
01
01
10
01
10
11
11
01
00
10
11
00
10
10
10
00
01
11
00
01
10
11
10
00
01
10
11
01
01
10
10
10
10
00
00
01
01
10
10
00
00
00
01
10
00
00
10
10
10
00
01
10
10
10
01
01
01
00
00
00
00
00
00
00
01
10
00
00
10
10
10
10
10
10
00
10
00
10
10
10
10
00
00
11
10
00
00
10
10
00
00
01
10
11
00
00
10
01
01
10
00
10
10
10
00
01
00
10
01
11
10
00
00
00
00
10
10
10
10
00
01
00
10
10
10
01
00
11
00
10
00
10
10
00
10
10
11
10
11
00
10
00
00
10
00
00
10
00
00
01
10
01
00
11
00
00
10
11
01
01
10
00
00
11
11
00
11
00
11
00
11
11
11
10
00
11
10
00
00
00
10
10
01
10
10
10
10
10
10
00
00
10
10
10
01
00
01
11
00
00
00
00
10
00
01
10
01
01
10
11
01
01
10
01
01
00
11
10
00
00
00
10
01
00
10
00
10
10
00
10
01
01
10
01
10
00
01
11
11
10
01
10
10
00
10
01
01
01
00
10
10
00
11
01
01
10
10
10
10
11
10
01
00
11
00
10
00
01
00
01
10
11
00
11
00
10
11
00
00
10
10
00
00
10
10
00
11
10
01
10
00
10
00
00
01
11
01
11
10
00
00
10
11
00
01
01
10
10
00
11
11
10
00
10
00
00
10
11
10
00
11
00
01
10
00
10
10
10
00
00
10
00
01
01
01
01
11
11
11
00
00
10
11
01
00
10
00
11
10
01
01
10
11
01
10
11
01
00
10
10
00
00
01
10
10
10
00
01
01
00
10
00
00
01
10
11
10
00
00
00
10
10
10
01
01
11
11
01
10
00
00
10
10
00
01
10
11
10
01
10
10
11
10
00
00
10
10
01
00
10
10
11
11
00
10
00
00
01
00
10
10
10
10
10
10
01
01
10
00
10
10
00
00
10
11
01
00
01
10
11
10
10
00
00
11
11
10
00
00
11
00
11
11
00
11
10
11
11
10
01
10
01
00
00
10
11
00
11
01
00
00
11
00
00
10
10
10
01
00
11
11
10
01
10
01
01
00
11
10
01
00
10
10
00
01
10
10
00
11
01
00
10
10
00
01
00
10
00
01
10
01
01
10
00
10
00
01
00
11
10
00
01
00
00
10
10
00
10
01
10
00
00
10
10
10
01
01
10
10
10
10
11
10
01
11
10
10
10
00
01
00
10
00
01
10
01
00
01
00
00
00
11
10
10
10
01
10
10
00
00
10
11
00
11
00
10
11
00
01
11
01
00
10
10
11
11
01
00
10
00
00
11
00
00
10
10
01
10
00
10
10
00
10
10
10
10
00
10
11
01
10
10
00
10
00
10
00
00
10
11
11
10
00
01
01
11
11
00
10
01
00
10
01
10
10
11
10
01
00
00
10
00
01
00
01
11
11
10
10
10
00
00
10
00
00
00
11
01
11
10
10
00
10
10
10
10
10
01
00
10
00
11
10
01
10
01
00
10
10
00
00
01
00
10
10
01
00
11
11
00
00
00
10
00
01
10
00
01
00
10
00
00
10
00
11
10
00
00
10
11
00
10
10
11
01
00
10
10
10
00
10
00
10
00
00
11
00
10
01
00
10
01
10
10
10
01
01
01
10
10
00
00
01
00
10
11
11
11
01
10
00
00
00
11
11
00
01
11
00
11
10
00
10
11
00
10
00
00
10
01
11
10
00
00
11
01
11
10
11
10
11
00
11
00
11
10
01
00
10
00
00
00
00
10
11
10
01
01
00
00
11
00
11
10
00
00
10
10
10
00
00
01
01
10
01
01
10
00
00
10
10
00
00
00
10
01
00
11
01
00
10
01
11
10
00
00
01
10
10
01
00
10
00
01
10
11
00
10
11
00
01
00
10
01
10
10
01
10
11
01
01
11
00
00
11
00
00
00
10
10
10
11
00
00
11
01
00
11
01
10
01
00
00
10
11
01
01
10
10
11
00
00
01
11
00
01
00
00
10
10
10
00
11
11
01
10
00
01
00
01
01
11
11
10
00
10
01
00
10
10
11
11
10
11
00
11
00
11
10
11
00
00
01
10
00
10
00
01
10
10
10
10
00
10
11
00
10
00
10
00
10
01
00
01
00
10
00
01
10
01
11
11
10
00
00
10
00
01
00
11
00
11
00
00
10
10
00
01
10
00
10
10
00
10
10
00
10
00
01
10
00
10
11
10
00
10
10
10
01
11
00
10
00
11
11
01
10
10
11
10
10
11
01
00
01
00
11
01
11
01
10
00
01
10
10
00
00
10
11
01
10
11
11
10
10
00
01
10
10
01
01
00
10
10
00
00
00
10
11
00
00
10
10
11
10
00
01
01
11
10
01
10
00
10
11
00
00
10
10
00
10
00
00
10
10
11
10
10
00
01
10
10
10
10
10
01
10
01
11
01
01
01
10
10
11
10
01
00
11
10
11
10
10
00
10
10
00
01
00
01
10
11
00
00
10
00
00
10
01
00
10
10
00
10
10
10
01
01
01
10
01
10
00
10
01
10
11
01
10
10
11
00
00
00
10
00
10
10
00
00
10
01
11
10
00
11
01
11
00
00
10
10
10
11
00
00
10
00
11
01
10
10
10
01
00
01
10
00
00
10
11
01
10
10
10
11
11
01
00
10
10
11
00
00
00
10
10
10
00
10
11
00
10
01
10
00
10
11
01
10
10
01
10
10
10
00
01
10
11
10
00
10
10
10
00
01
00
01
10
01
11
01
10
10
00
00
00
11
00
01
10
11
00
00
10
10
10
00
10
11
00
00
00
10
10
10
00
10
00
00
10
00
10
11
11
00
10
00
10
10
01
00
10
10
00
10
00
01
11
00
10
10
00
00
10
10
11
00
00
10
01
10
01
10
00
10
00
10
10
10
10
10
10
11
10
00
10
10
00
00
10
11
10
10
10
00
01
00
11
00
00
10
10
00
00
10
01
10
00
11
00
00
10
00
00
00
00
10
01
00
00
00
10
10
00
11
11
10
01
10
11
00
10
01
11
10
10
11
01
10
11
11
00
00
01
00
11
01
10
01
11
01
11
00
00
10
10
01
10
11
01
00
01
10
00
00
01
10
11
10
10
11
01
00
00
10
10
00
00
10
10
10
10
11
11
11
00
11
00
01
00
00
00
11
10
01
10
10
00
01
11
11
10
10
01
00
00
10
11
00
10
01
01
10
00
00
10
00
00
11
00
10
00
01
11
10
10
01
10
01
01
10
11
01
10
00
10
10
01
10
11
10
01
00
00
11
10
01
10
00
00
10
01
01
00
10
01
01
01
00
11
11
01
00
10
01
00
10
10
01
00
00
00
10
11
00
10
00
10
10
11
10
11
01
00
11
10
10
10
11
00
00
00
11
00
00
10
10
11
10
01
11
10
01
11
00
01
11
01
00
10
10
10
11
10
01
01
11
10
00
00
11
10
01
00
11
00
11
10
00
00
10
10
10
00
00
00
00
10
11
01
00
10
10
00
00
10
10
01
01
00
11
00
01
10
00
00
10
10
01
11
11
11
00
01
01
00
10
11
11
00
11
10
01
10
11
00
01
00
01
11
01
00
10
11
00
10
10
10
00
10
10
01
10
10
00
10
11
10
10
11
10
10
10
11
00
10
10
10
10
00
01
00
10
00
01
11
00
00
10
10
11
01
00
11
01
00
11
00
00
00
10
10
00
00
00
11
10
10
10
10
10
00
01
10
01
10
01
10
10
10
10
10
00
00
00
10
11
00
10
01
00
11
10
00
10
00
11
10
01
00
01
10
00
00
00
10
10
10
00
11
11
10
01
00
10
10
10
10
01
00
10
10
11
00
00
10
10
00
10
11
01
01
10
01
00
01
00
00
10
10
10
10
00
01
11
00
00
10
00
10
11
00
10
01
01
01
00
10
11
00
10
11
11
10
01
00
10
10
10
01
11
00
01
11
00
10
10
00
01
00
11
10
01
10
01
01
11
11
01
00
01
11
11
01
00
10
10
10
00
00
10
10
01
01
10
00
10
10
11
10
00
00
11
10
10
00
10
10
01
10
00
00
11
11
10
00
10
01
00
01
00
11
01
01
10
00
11
11
00
00
10
11
00
01
10
01
00
11
10
11
10
10
00
11
00
00
00
11
10
10
00
01
01
00
11
10
00
00
11
10
00
10
10
00
01
11
10
10
11
01
00
00
11
01
11
00
01
00
10
00
00
10
10
11
01
10
01
10
10
00
10
00
00
10
10
10
11
00
10
10
10
01
00
00
11
00
01
00
11
10
00
00
10
11
01
00
10
01
10
01
00
01
00
00
00
10
10
00
00
10
00
10
10
01
10
10
10
10
00
00
11
01
00
01
00
00
10
11
00
01
01
10
10
01
10
01
00
00
10
11
01
00
00
10
00
10
10
10
00
10
11
10
10
00
10
10
11
01
00
10
00
10
10
00
10
10
00
10
01
00
10
00
10
00
00
10
00
10
11
00
00
10
10
01
00
01
10
00
00
01
01
11
01
01
00
10
01
10
00
10
10
01
00
00
10
00
01
00
10
10
01
00
00
11
10
11
00
01
01
00
01
11
11
10
10
00
00
00
10
10
00
10
11
00
11
10
00
01
01
10
01
10
01
10
01
00
10
00
11
00
10
01
00
11
10
10
10
11
00
00
00
10
10
10
10
11
10
01
01
00
00
01
10
11
00
01
00
00
00
10
10
00
11
10
10
00
00
01
01
10
10
01
00
00
01
00
10
10
01
00
11
01
00
00
11
01
01
10
10
10
10
10
01
00
11
10
01
00
10
11
00
10
10
10
10
10
01
00
10
10
10
10
00
01
01
10
10
11
00
11
10
11
01
00
10
11
10
11
00
00
00
00
01
11
11
00
01
00
00
10
10
10
01
00
10
00
00
00
00
10
00
01
11
00
00
10
01
11
11
01
10
10
00
01
11
10
00
00
00
01
10
00
11
10
10
00
00
00
01
10
11
10
00
10
10
11
10
01
10
00
00
00
01
00
00
10
10
00
11
00
10
00
00
11
10
10
00
00
01
00
10
00
10
10
10
00
10
10
00
00
10
10
10
10
11
11
10
10
11
11
01
10
11
00
11
00
10
10
00
01
01
11
10
01
10
11
01
10
01
01
10
11
10
01
10
10
00
00
01
00
11
11
00
01
10
11
00
10
11
00
11
10
10
00
00
00
11
10
00
10
00
01
10
10
00
11
00
11
11
00
01
00
00
11
00
01
10
00
01
10
01
00
00
10
11
10
10
01
00
00
10
00
10
01
11
00
00
10
00
01
10
00
10
10
11
11
01
00
01
11
10
00
00
11
10
10
01
11
10
01
10
00
10
10
01
00
10
10
11
10
00
10
10
11
10
01
01
01
00
10
01
11
10
10
01
00
10
10
10
10
00
10
00
00
10
10
10
10
00
00
00
10
00
11
11
11
01
11
00
10
00
10
01
01
10
11
11
01
10
10
10
11
00
00
00
10
10
00
01
11
01
00
00
11
10
00
00
00
11
00
01
01
10
11
11
11
10
01
01
11
10
00
11
10
01
01
10
00
00
11
10
10
01
10
11
00
10
10
00
01
10
00
00
00
11
01
11
00
01
11
10
00
11
11
00
01
01
01
11
01
00
10
00
01
10
10
01
01
10
11
10
00
10
10
10
10
00
11
00
00
00
10
11
00
11
10
00
00
01
10
10
01
00
10
10
01
11
11
00
01
10
00
00
00
10
00
10
00
00
10
01
10
11
10
10
10
10
00
00
10
10
10
01
10
10
00
00
00
10
11
00
10
00
00
10
10
10
00
10
00
11
00
11
11
01
11
10
10
10
10
01
10
10
00
00
11
10
00
00
01
00
11
10
00
11
10
11
10
10
10
00
00
11
00
10
00
01
10
11
00
10
01
00
10
00
10
10
10
10
10
10
00
10
00
01
01
11
10
10
01
00
01
01
10
11
11
00
00
11
10
00
00
00
11
10
00
01
00
11
00
00
01
10
11
00
00
11
10
00
00
11
10
10
00
00
10
00
00
10
10
01
10
01
11
01
00
11
00
00
11
00
00
10
00
01
01
00
11
01
00
01
10
10
00
11
11
11
10
01
10
10
01
00
11
01
10
10
10
11
01
01
11
11
10
10
00
00
00
11
10
00
10
10
00
01
00
00
00
10
00
00
01
10
11
00
00
11
10
10
11
10
00
01
10
00
01
10
00
11
10
10
11
00
01
00
10
11
00
00
10
11
00
10
01
00
10
10
01
00
00
10
00
01
11
10
11
00
01
10
10
00
01
11
00
10
10
10
00
00
10
00
10
01
10
00
10
00
00
00
01
11
10
10
00
10
00
00
11
10
00
00
00
01
00
10
00
00
10
10
10
10
10
10
00
00
00
10
10
10
01
01
00
00
10
00
10
00
00
10
10
00
01
11
01
00
01
10
00
10
01
00
10
10
00
10
01
10
01
01
00
00
11
11
01
11
10
00
11
10
00
11
10
00
01
00
01
00
11
01
11
10
01
11
11
11
11
11
00
01
10
10
10
00
00
11
00
01
10
10
01
00
00
00
00
11
10
00
00
11
10
00
10
10
01
00
10
00
00
10
10
01
10
00
10
10
10
00
00
10
00
00
00
10
10
00
01
10
00
11
01
11
10
00
00
00
01
10
00
10
10
01
01
01
01
10
10
10
10
11
01
00
10
11
00
10
01
11
10
10
00
01
10
00
00
10
00
10
00
00
10
10
11
00
00
11
01
10
00
10
11
00
00
10
10
10
01
00
01
01
11
01
11
00
00
11
10
10
00
10
11
11
11
00
00
10
11
00
11
10
01
00
00
01
00
11
10
10
00
00
00
10
10
00
00
00
11
00
10
11
00
01
10
10
00
01
01
01
10
10
00
10
00
10
00
10
01
01
00
00
10
00
10
10
10
11
10
10
00
00
00
11
10
00
00
11
00
11
11
00
00
10
10
10
00
00
01
01
00
00
10
01
11
11
01
00
00
10
10
00
10
10
10
11
00
00
00
00
10
01
10
01
11
00
00
01
00
11
10
00
00
00
00
10
10
10
00
00
00
00
00
00
10
01
00
00
10
00
11
10
01
00
01
00
11
01
11
00
00
11
10
00
10
11
00
10
10
00
10
00
00
10
10
10
01
00
11
00
10
01
10
10
01
10
01
00
10
11
00
11
11
00
00
11
10
00
11
01
10
11
00
10
10
10
10
11
11
01
10
10
01
00
11
00
01
10
01
10
11
01
10
00
00
01
11
00
01
10
10
00
10
10
10
00
00
10
01
10
10
00
01
11
00
11
01
00
11
10
01
10
11
00
11
00
00
10
10
10
11
10
00
01
00
11
10
11
10
10
10
00
00
11
00
01
10
01
11
11
00
00
00
10
10
00
01
01
10
11
10
00
00
00
11
00
00
10
10
10
00
11
10
00
10
11
11
10
11
00
11
01
00
10
00
10
10
10
00
10
00
01
11
11
01
00
00
11
11
10
00
00
01
00
10
10
01
10
01
10
00
00
00
00
11
11
01
10
00
10
00
10
00
11
10
10
01
00
00
10
11
01
00
10
10
11
10
01
00
10
10
00
01
11
01
01
01
10
10
11
00
00
00
10
10
10
00
10
01
00
00
00
10
00
00
10
01
10
00
00
00
10
10
11
01
10
10
00
10
01
00
10
00
00
10
00
00
00
01
10
11
00
00
10
11
00
01
10
01
11
11
10
11
00
11
11
01
00
01
10
11
10
11
00
00
01
10
10
00
01
11
00
11
10
00
11
11
10
00
11
11
00
00
10
10
11
01
00
01
00
00
00
00
11
10
10
01
01
10
10
01
10
11
01
01
10
00
01
00
10
10
01
10
10
10
10
10
00
11
01
01
00
10
10
10
00
01
10
10
00
00
11
10
11
10
10
01
10
01
10
00
00
01
00
10
01
01
00
11
01
10
00
10
00
00
10
10
00
10
10
01
11
00
01
01
01
10
10
01
11
01
01
11
10
10
01
00
11
10
00
00
00
00
11
01
01
10
10
11
00
01
10
01
00
10
10
10
10
00
01
10
10
01
10
10
10
00
00
10
00
11
01
00
00
10
10
00
10
10
10
10
10
01
00
11
11
01
10
01
00
01
00
10
10
00
10
10
01
00
01
10
00
00
00
00
00
11
10
10
10
11
10
00
10
10
10
10
00
00
01
00
10
00
10
00
10
00
11
11
01
11
01
10
00
11
01
00
11
10
11
10
11
00
11
00
00
10
01
10
11
00
00
01
10
01
10
00
01
10
11
00
00
11
00
10
10
10
11
00
11
11
00
00
11
10
01
00
10
10
01
00
11
01
00
00
01
10
00
10
10
01
00
10
01
00
11
10
10
10
00
00
10
11
10
10
00
00
00
10
00
10
01
00
00
10
10
10
10
10
00
00
01
10
01
10
00
00
10
00
10
01
00
00
10
01
01
01
00
00
00
11
10
11
10
00
10
10
00
10
11
00
00
00
00
11
00
01
11
11
11
00
10
11
01
01
11
10
00
01
01
01
00
11
10
10
11
01
00
10
00
11
00
11
10
01
10
01
10
10
01
01
00
00
10
11
00
00
00
01
10
10
11
00
10
00
10
11
11
11
01
01
11
00
10
10
01
00
11
10
10
11
10
00
00
01
01
10
10
11
10
00
10
00
00
10
11
00
01
00
11
01
11
11
11
00
00
00
01
10
10
11
00
11
10
00
00
00
10
00
10
10
11
01
10
01
10
00
00
11
00
01
11
10
00
01
11
01
11
11
01
11
01
01
10
10
10
00
01
00
00
10
10
00
01
01
00
10
00
00
10
10
11
00
10
01
01
10
10
00
10
00
00
00
10
10
01
10
00
00
01
11
01
00
01
11
10
01
10
10
01
10
10
01
00
11
00
01
10
01
00
00
00
11
10
01
10
10
00
11
10
10
10
00
00
01
10
10
00
10
00
00
00
10
01
10
00
11
00
11
10
10
01
00
10
10
10
10
00
00
10
00
10
10
10
01
11
01
10
00
00
01
10
11
01
01
00
10
00
00
10
11
10
10
00
01
01
11
00
10
01
10
10
01
00
10
10
10
10
01
10
00
10
10
11
10
00
10
00
10
10
00
00
00
00
10
00
10
11
10
00
11
10
00
00
00
11
10
00
01
01
11
11
10
01
01
10
00
00
10
00
00
11
11
01
11
11
10
00
10
10
01
01
10
10
00
01
11
01
00
00
10
01
10
11
01
00
11
10
01
10
11
10
11
10
00
10
11
00
00
11
10
10
10
01
10
11
01
01
10
10
00
10
01
01
10
11
11
01
11
10
10
10
00
00
01
10
10
00
10
10
00
01
11
00
10
10
10
10
10
00
00
10
01
00
11
10
01
11
10
10
00
01
11
10
01
01
10
10
01
00
00
10
11
10
00
10
10
10
10
01
11
10
11
00
00
00
01
10
10
11
00
11
01
01
00
00
00
00
01
10
11
11
10
10
01
10
11
00
00
00
00
11
00
00
01
11
01
00
00
01
11
01
10
10
01
10
00
11
11
10
11
10
00
01
01
11
00
00
11
11
00
00
10
10
10
00
10
00
10
10
10
10
11
00
10
10
10
11
00
01
01
00
00
00
00
10
01
00
10
11
00
10
10
00
01
00
01
10
10
11
01
01
10
10
00
00
01
10
11
00
10
10
00
11
10
11
00
01
01
11
10
01
11
10
00
10
00
00
00
11
10
11
10
11
11
10
10
00
01
10
11
00
00
00
10
00
11
10
11
10
11
10
10
01
00
01
11
11
01
10
00
10
11
10
00
01
10
11
00
10
11
10
10
00
00
10
10
00
10
00
01
01
00
01
11
10
00
10
00
01
10
11
10
00
00
10
11
00
00
11
00
01
10
10
00
00
10
10
11
00
00
11
00
10
10
01
00
01
00
10
10
00
10
10
01
11
10
00
11
01
10
01
00
11
10
00
10
00
11
10
10
10
10
10
01
10
10
00
00
01
00
01
10
11
00
10
00
10
10
00
01
10
00
00
00
00
01
00
01
11
00
10
10
11
01
10
11
00
01
10
11
11
00
00
10
00
01
10
11
10
01
10
10
00
11
00
00
01
01
11
10
10
00
00
11
10
00
01
10
10
01
00
01
00
01
10
00
00
10
10
01
10
10
01
10
00
10
10
10
00
00
00
10
00
10
01
00
00
00
11
00
11
00
10
10
00
10
11
00
11
00
01
01
10
00
01
10
10
00
01
00
10
11
01
00
10
11
01
10
00
00
01
10
10
10
10
01
11
10
00
00
11
00
10
00
00
00
00
10
10
11
11
10
10
00
00
01
00
10
00
00
10
00
01
00
10
11
00
00
10
00
00
10
00
10
01
00
10
10
10
00
01
00
11
00
01
00
00
01
01
10
10
00
11
00
10
00
00
00
10
10
00
00
10
01
11
10
10
10
11
00
10
10
00
11
00
01
10
00
01
01
10
10
00
00
00
10
10
00
10
11
01
10
01
10
00
11
11
00
10
10
00
10
00
11
10
01
11
00
01
10
11
01
01
10
11
00
11
01
10
01
00
00
10
00
00
11
01
00
10
10
00
00
10
11
10
00
00
10
00
10
11
00
10
11
00
10
00
00
01
00
10
00
01
10
01
00
11
00
11
00
10
10
00
00
00
10
10
10
00
11
00
00
10
01
10
00
11
10
00
10
00
00
10
00
10
01
01
10
00
10
10
10
10
01
00
10
00
00
10
10
10
10
11
00
10
10
10
00
00
01
00
00
10
00
10
00
00
10
10
01
11
01
01
10
10
00
00
10
10
10
00
00
10
10
10
00
00
00
00
00
00
00
10
11
00
10
00
10
11
01
01
01
00
11
00
00
00
00
10
10
00
11
00
00
00
11
01
10
10
10
01
00
10
11
10
00
00
00
00
11
01
00
00
11
10
01
10
10
00
00
11
11
00
00
10
10
01
10
10
11
00
01
11
10
10
00
10
01
11
10
01
00
11
01
00
10
01
00
10
11
10
10
10
10
00
00
11
10
11
00
00
10
10
00
00
00
01
11
11
10
10
10
01
10
10
00
10
00
10
00
01
10
01
00
01
10
00
00
11
01
01
10
10
00
00
00
11
01
00
00
01
00
01
10
00
10
01
01
11
10
00
00
00
01
00
10
10
00
10
10
00
10
01
10
00
00
00
01
00
00
10
10
10
10
00
00
10
10
01
11
01
10
00
11
11
10
01
10
00
00
01
11
10
00
01
10
11
00
00
10
10
00
00
11
10
01
01
01
00
10
10
11
10
11
00
01
11
11
01
10
11
01
10
00
10
11
10
11
00
11
00
01
10
10
10
10
10
11
01
01
11
01
01
11
01
10
01
00
10
10
01
00
00
01
10
11
00
10
11
10
10
10
00
00
01
10
00
01
00
11
10
00
11
10
11
10
01
01
01
00
10
00
00
10
11
11
00
00
10
10
00
01
01
11
00
11
10
00
10
10
00
10
00
01
01
01
00
11
11
11
01
00
10
01
01
10
01
01
11
00
00
01
00
10
10
10
00
00
00
11
10
01
00
00
10
01
10
10
11
01
10
11
11
00
00
11
10
10
01
00
00
10
10
00
01
00
10
00
01
10
00
00
10
10
00
10
00
00
10
00
01
00
10
00
00
11
01
10
11
10
00
00
10
11
00
00
10
10
11
01
00
00
10
10
00
01
01
11
00
10
11
11
01
00
10
01
00
00
10
11
11
10
11
01
11
00
00
10
00
01
10
11
10
10
11
01
10
00
11
10
01
00
01
01
11
01
00
11
11
11
10
01
10
10
11
01
00
10
00
00
10
00
01
11
11
01
00
00
01
00
00
11
10
11
01
10
01
10
10
01
00
11
10
00
00
00
00
10
10
00
00
00
10
00
01
00
10
10
11
11
10
10
01
11
01
10
01
00
10
00
10
10
11
01
01
01
10
00
00
00
10
10
00
01
11
00
11
00
11
10
00
00
11
10
00
00
10
10
00
10
10
01
00
00
10
11
00
00
11
10
00
01
00
11
00
00
00
00
00
11
00
01
00
11
10
11
00
00
00
10
00
00
10
00
10
10
10
10
11
00
10
10
00
10
10
10
00
00
11
10
00
01
10
10
00
01
10
01
00
10
10
00
00
01
01
01
00
00
11
10
10
11
01
10
00
10
10
00
10
11
01
00
00
10
11
00
10
10
00
10
10
01
10
00
10
00
00
01
00
10
10
00
10
00
11
00
10
10
11
00
10
00
11
01
11
10
11
11
01
10
11
10
01
10
10
00
01
00
01
10
10
00
10
11
01
01
01
10
10
01
00
11
00
00
11
11
00
11
00
01
00
10
10
00
01
10
10
00
01
11
10
10
01
01
10
01
10
10
01
01
10
01
01
10
00
01
01
00
11
11
10
00
00
01
00
10
10
00
11
10
01
00
00
10
00
00
10
00
00
00
00
10
10
01
10
10
01
00
11
10
10
01
00
11
00
11
10
01
00
10
11
11
00
10
10
01
10
11
00
01
01
11
10
00
10
10
01
00
00
00
00
10
11
11
00
00
10
10
10
00
00
10
00
00
00
11
11
01
11
01
00
10
10
00
11
10
01
00
11
11
10
00
00
10
00
00
10
11
00
00
00
00
01
10
00
00
10
11
00
00
11
01
00
10
00
01
00
10
10
10
10
10
00
10
10
10
01
01
00
11
10
00
00
11
11
00
10
11
10
00
00
10
00
00
10
01
00
11
00
11
10
10
11
10
11
00
10
11
10
01
10
11
00
10
11
00
10
10
00
01
00
01
11
00
00
10
10
10
10
00
01
00
00
01
10
01
10
01
01
10
00
11
00
00
10
11
10
10
00
01
10
00
10
00
01
01
11
11
11
00
00
10
00
10
00
00
10
10
11
01
10
00
10
10
00
00
01
11
11
00
10
10
10
00
00
00
00
10
01
00
01
00
10
00
00
11
10
11
00
01
10
01
10
00
11
01
01
10
00
11
10
01
01
10
10
00
11
00
11
11
11
00
11
00
00
00
10
10
11
00
00
01
10
10
01
00
11
01
11
01
01
11
10
00
10
00
00
10
10
00
00
10
01
11
11
10
00
10
00
00
10
00
10
10
10
10
01
10
00
00
00
01
10
00
10
11
00
00
01
11
01
10
10
00
10
00
10
01
10
10
00
10
00
00
01
11
10
00
00
10
10
10
01
11
01
01
10
11
11
00
01
11
10
01
10
10
10
11
00
00
00
11
10
11
00
10
00
00
01
01
01
00
10
00
01
00
00
10
10
10
00
00
00
11
00
10
00
10
10
11
00
01
11
11
00
00
10
10
01
01
10
00
01
01
00
10
10
01
10
00
10
10
10
00
00
10
00
10
10
10
00
00
11
00
11
10
01
00
10
01
11
01
01
10
10
10
00
00
10
10
10
01
01
11
10
11
11
00
11
10
00
00
00
11
10
01
11
10
11
10
01
00
10
00
00
10
00
10
10
01
01
11
11
10
01
01
01
01
01
10
10
11
10
11
00
00
11
11
00
01
00
10
11
01
00
10
00
00
01
00
10
10
01
01
00
11
01
10
10
10
10
10
00
00
11
01
01
00
00
10
00
10
10
11
01
01
10
10
00
00
00
11
11
00
00
00
11
11
00
11
00
01
00
10
10
10
10
00
00
01
01
01
01
10
10
10
10
01
10
00
00
01
10
11
10
11
01
00
00
00
10
00
10
11
00
00
11
10
10
10
01
11
01
00
11
11
11
11
00
00
11
10
01
00
11
11
01
00
00
10
10
00
00
01
11
00
11
10
01
10
10
11
00
00
10
10
00
00
10
10
00
10
00
11
10
01
01
11
11
10
00
00
10
10
00
11
10
00
00
10
11
10
00
00
11
01
00
11
10
00
10
10
00
00
00
11
10
00
10
10
00
00
00
10
01
01
10
11
01
10
10
00
11
10
10
00
00
11
00
11
10
11
11
10
10
10
01
01
10
10
01
00
01
00
11
01
11
00
00
01
10
00
11
10
00
10
11
11
01
01
00
01
10
10
01
00
00
10
10
11
01
10
00
10
00
11
01
01
11
00
01
10
00
10
10
01
01
10
10
00
00
01
00
11
11
10
00
00
10
01
10
10
00
00
01
11
00
00
01
00
00
00
01
00
11
00
10
00
10
01
11
00
00
10
10
00
00
10
01
10
10
01
10
00
00
01
00
10
00
00
00
00
10
10
10
01
00
11
11
00
00
10
01
00
10
10
01
00
10
10
10
00
00
01
11
11
01
11
10
10
01
10
00
01
10
01
10
01
01
00
11
10
00
11
10
01
10
10
00
10
10
10
00
00
00
00
10
11
00
10
10
10
01
11
10
01
10
00
10
10
00
00
11
10
00
01
11
11
00
10
00
10
01
00
10
01
01
10
11
01
00
01
11
11
11
00
00
00
10
10
00
00
01
00
11
10
01
10
10
00
01
10
10
10
01
11
00
00
10
11
10
01
00
10
00
00
10
11
10
00
10
10
11
10
10
00
00
11
01
10
00
00
10
11
10
10
10
10
11
00
00
00
10
00
00
01
10
01
00
11
00
10
10
10
01
10
10
00
10
10
00
00
10
01
00
11
10
01
11
10
00
00
01
10
01
00
10
00
10
01
00
00
10
10
00
00
00
10
00
10
10
00
10
00
10
10
01
00
10
00
10
00
01
10
01
10
10
10
10
10
00
10
11
10
00
10
00
11
00
01
11
00
11
10
10
01
01
11
01
10
11
10
00
00
01
11
11
00
00
11
00
00
10
01
00
00
11
11
00
10
01
11
10
10
00
00
11
00
10
10
10
00
11
10
11
00
00
00
10
10
11
01
01
11
00
00
10
01
10
10
00
01
11
11
00
10
10
01
11
10
00
01
00
10
10
00
00
00
10
10
10
00
00
10
00
10
01
00
10
00
01
00
10
00
00
00
11
10
11
10
11
01
10
11
10
01
00
10
00
10
00
00
10
10
10
01
10
00
00
00
10
11
01
00
00
10
10
11
10
11
10
00
11
01
00
00
00
10
11
01
01
00
10
00
11
00
00
10
11
11
01
00
11
00
11
10
11
00
01
10
00
10
10
01
00
00
11
10
00
10
01
11
01
01
10
11
01
01
00
11
11
01
01
01
01
10
01
01
10
10
00
00
10
10
10
10
00
01
10
10
00
10
10
00
10
01
01
10
10
00
00
10
10
00
10
10
10
00
01
00
01
10
01
00
00
00
01
01
10
11
01
00
00
10
10
00
00
00
10
00
10
00
11
00
01
00
01
10
10
00
01
00
10
10
10
11
10
10
00
00
01
11
00
00
00
11
10
00
10
10
01
11
10
01
00
10
10
11
00
01
00
10
10
00
10
10
00
00
00
00
00
00
10
10
11
01
00
11
00
01
10
11
11
01
01
10
11
01
10
11
11
10
01
11
10
00
00
10
10
00
10
00
01
01
01
00
01
10
11
00
01
10
10
11
01
10
11
01
01
01
10
01
10
10
10
00
00
10
10
01
01
10
10
00
00
00
10
10
00
00
00
00
00
10
00
01
00
11
00
10
00
10
11
11
00
00
11
10
00
10
10
00
01
10
10
10
11
10
00
01
00
10
10
01
00
00
10
01
11
00
10
10
11
11
11
10
10
00
11
00
01
00
00
00
00
10
01
00
10
00
01
10
10
11
00
01
00
11
00
00
00
01
10
00
11
11
10
00
10
01
00
10
11
10
00
10
10
10
10
01
10
10
01
00
10
01
00
00
01
00
11
10
11
01
00
10
11
00
10
00
01
00
10
10
00
11
10
00
01
10
10
10
11
11
11
00
00
10
10
10
01
11
10
00
10
10
11
10
01
11
10
00
01
01
11
00
01
10
00
00
11
11
01
00
10
00
01
01
01
11
10
01
10
00
00
11
10
11
01
11
10
01
01
10
10
00
01
10
01
00
10
00
10
00
00
00
00
00
10
10
10
11
11
00
10
00
11
10
01
11
10
00
10
11
01
00
00
11
10
00
00
00
10
11
00
00
10
01
01
10
10
00
00
00
00
00
01
10
10
11
00
00
10
00
01
00
10
10
10
00
10
10
00
00
10
10
00
00
00
00
01
10
11
00
01
00
00
00
10
10
00
10
01
11
10
00
11
11
00
11
10
00
01
10
00
10
00
11
01
00
10
00
01
11
10
00
10
00
00
11
00
10
10
00
00
00
10
10
10
01
01
01
11
11
11
01
00
10
00
00
00
10
10
00
00
01
00
10
11
10
00
10
00
01
11
11
00
10
10
11
10
00
00
11
10
10
10
11
00
11
10
00
01
10
01
00
00
11
10
01
11
11
00
10
00
01
11
10
11
01
00
11
10
10
10
00
00
00
10
10
10
00
00
01
10
00
00
00
10
10
00
00
00
00
11
11
01
00
11
10
01
00
00
10
10
01
00
00
11
01
10
01
10
10
00
00
00
10
10
01
00
00
10
10
00
00
00
01
01
00
11
01
11
00
10
11
00
00
10
11
00
10
10
00
00
10
10
00
00
10
10
10
11
00
00
11
00
01
11
01
00
00
10
10
10
01
00
10
11
10
00
11
00
10
10
10
10
00
01
11
11
01
10
10
10
01
00
11
10
01
10
00
10
10
10
00
10
11
10
10
01
00
00
00
10
10
00
10
01
01
11
11
11
01
11
10
00
11
00
00
00
11
10
01
01
10
00
01
10
00
01
00
10
10
00
11
00
00
10
00
01
00
10
11
11
00
10
11
10
00
00
01
00
10
11
00
00
11
10
00
01
10
01
10
11
10
10
11
10
01
00
10
10
11
00
10
10
00
00
10
10
00
10
10
01
10
10
10
10
00
11
10
00
01
11
10
01
01
11
01
01
11
01
01
10
11
01
01
01
01
11
10
00
01
11
11
01
01
00
11
11
00
10
10
10
00
00
10
00
01
11
00
00
10
11
00
10
10
01
01
10
10
10
01
10
10
00
10
01
00
10
01
10
00
00
01
10
10
11
10
00
10
00
00
00
10
00
00
10
10
00
10
10
01
10
01
00
10
00
10
10
11
10
01
00
11
00
11
10
10
00
01
11
01
00
00
01
10
11
00
10
10
01
11
01
10
00
10
00
00
11
00
10
10
01
10
00
10
00
11
01
10
00
00
10
11
00
00
01
10
10
10
11
00
10
00
01
11
11
11
01
11
00
00
10
11
10
01
11
00
10
01
10
01
00
11
10
01
11
00
00
11
00
11
00
00
00
10
01
10
00
00
00
11
10
11
01
00
01
11
10
10
10
01
00
10
10
11
00
10
10
00
00
10
10
00
00
00
00
00
10
11
11
10
11
00
00
00
00
01
10
01
00
00
10
01
10
10
10
00
00
01
11
10
10
10
11
00
10
11
00
10
10
01
10
00
01
00
10
00
00
00
10
10
10
00
01
10
10
10
10
01
01
10
00
00
11
10
10
11
00
01
00
10
00
10
00
00
10
10
10
11
00
10
11
10
11
00
10
10
10
00
01
01
00
00
10
00
10
11
10
00
11
00
10
10
11
11
00
10
00
11
10
00
00
00
10
10
10
01
00
00
10
10
00
10
10
00
11
00
00
10
00
10
11
00
11
00
01
01
10
10
10
10
00
11
10
11
00
01
10
00
00
00
10
10
11
00
11
01
00
00
01
01
11
11
00
01
11
10
10
10
01
00
10
01
10
10
10
10
00
10
00
10
11
11
01
00
01
00
10
00
10
00
00
00
10
11
11
10
00
10
11
00
10
10
00
11
01
01
11
00
10
11
10
01
00
01
11
00
11
11
00
01
00
01
11
10
11
00
10
11
00
10
10
10
00
11
01
01
10
11
10
00
10
10
01
00
10
00
00
11
00
01
10
10
00
00
00
00
10
10
01
00
00
00
10
10
01
10
11
00
01
00
10
10
10
01
11
01
00
01
10
10
11
01
00
10
00
10
10
10
01
11
00
10
00
11
11
01
01
01
10
01
10
10
10
01
01
10
10
11
01
00
00
00
10
01
00
00
01
11
00
11
10
00
10
10
00
01
10
11
01
10
00
10
00
10
00
00
10
00
00
00
01
10
10
01
01
10
10
11
00
00
00
11
10
00
10
10
10
00
00
10
11
01
10
10
00
00
10
01
00
10
10
00
10
01
11
10
10
11
10
10
00
00
01
00
00
11
10
10
01
01
10
11
00
00
11
01
00
11
01
00
01
00
11
00
10
10
01
10
10
10
01
10
00
10
10
01
10
10
00
01
10
11
01
00
10
10
00
10
10
10
00
00
00
00
11
11
11
00
11
10
00
00
10
10
00
01
11
10
00
10
00
00
11
10
11
00
10
00
10
00
00
10
11
00
11
11
00
00
01
00
11
10
01
01
01
10
00
00
10
10
01
01
11
10
00
01
11
00
00
00
01
01
11
01
10
10
10
00
00
00
11
10
00
10
10
10
01
00
00
00
11
00
10
00
00
10
00
00
10
00
00
00
10
10
00
11
01
01
10
10
01
01
10
11
01
11
01
00
10
10
10
00
00
00
11
00
10
10
10
00
01
10
10
00
01
11
10
01
00
10
11
10
11
10
10
00
01
11
10
10
01
10
11
00
10
11
11
10
10
01
01
10
10
10
00
01
11
01
01
11
10
10
01
10
11
10
01
00
10
00
01
00
11
11
01
10
01
01
01
10
11
10
01
11
10
10
00
10
10
10
00
11
11
10
11
00
10
01
10
11
01
11
01
01
11
00
11
11
10
10
00
00
10
10
00
11
11
10
00
00
10
01
11
11
00
00
11
11
10
10
00
00
10
00
10
11
01
10
11
00
00
00
10
01
01
11
11
00
01
01
01
01
00
00
00
00
10
00
00
00
10
10
10
11
10
00
00
00
11
11
11
01
00
10
00
00
10
00
11
10
01
11
00
01
00
11
01
00
11
00
10
10
00
10
10
11
01
01
11
10
10
01
01
10
11
00
00
01
10
11
01
00
10
10
01
01
11
11
00
00
10
11
00
10
10
10
00
10
00
00
11
10
00
01
10
01
11
10
10
10
10
00
10
10
11
10
10
00
00
00
10
00
10
10
11
10
11
01
00
10
00
11
10
11
01
10
10
00
01
01
00
10
10
00
10
01
00
00
00
10
10
00
00
10
00
10
10
00
10
00
11
00
00
00
00
11
01
10
01
01
11
00
00
00
00
10
00
11
11
00
11
10
10
10
00
00
11
11
01
01
10
11
10
01
00
00
11
10
01
10
11
00
01
10
10
01
00
10
00
00
00
01
00
10
00
10
00
00
00
10
10
10
00
10
00
00
11
10
00
00
11
10
10
11
00
00
11
10
00
00
10
10
10
00
00
10
10
11
11
00
00
10
10
01
11
10
00
10
11
00
11
00
00
11
00
00
10
10
00
10
00
10
10
10
00
10
10
00
00
00
00
10
00
00
10
00
01
00
00
00
01
00
10
01
00
01
11
11
11
01
00
01
10
00
10
10
00
00
00
10
10
00
10
10
01
10
00
11
10
11
01
00
00
11
01
11
10
11
11
00
01
01
10
11
01
01
00
00
00
10
11
01
10
10
10
10
00
10
01
01
01
11
10
00
10
10
10
00
01
10
00
10
11
11
00
10
00
10
00
10
00
00
00
00
11
10
01
10
00
00
10
11
10
01
00
10
11
10
10
00
01
11
10
01
11
11
01
00
10
00
10
00
00
11
00
00
10
10
10
10
10
01
10
00
01
01
00
11
10
00
01
01
11
11
00
00
11
00
01
10
10
00
00
00
00
11
10
01
00
01
00
10
10
10
00
00
11
11
10
00
00
00
01
00
01
10
10
11
01
10
11
10
10
10
10
01
00
10
10
00
00
11
11
00
01
10
00
01
11
01
00
00
10
11
00
00
10
11
01
01
11
10
00
10
00
01
10
00
10
10
10
00
00
01
00
11
10
10
00
10
01
10
00
01
00
10
00
01
10
10
11
00
10
10
00
01
11
11
01
11
01
10
00
10
01
01
11
11
00
01
00
01
01
10
10
00
10
11
10
01
00
11
10
00
10
11
11
00
11
10
11
11
00
10
01
00
10
00
01
11
10
00
01
11
10
10
00
01
00
10
11
00
00
10
00
10
11
10
01
00
10
00
10
00
01
00
10
01
01
10
10
00
00
11
00
00
10
11
01
00
01
01
10
00
10
11
11
00
00
00
11
01
11
10
00
00
01
11
10
10
10
10
10
10
01
01
10
00
00
10
10
00
11
00
10
10
10
11
10
10
11
11
10
01
01
10
00
00
00
00
00
11
11
10
00
01
01
00
10
00
11
11
00
01
01
00
11
00
10
01
00
10
10
01
00
00
00
00
00
10
10
10
00
00
10
10
01
01
10
10
10
00
10
01
00
00
00
10
01
00
01
11
00
10
11
00
10
10
00
00
10
00
00
10
00
00
10
10
01
10
10
10
10
00
10
00
10
10
10
10
11
11
11
00
01
10
00
10
00
00
10
00
00
11
00
11
11
00
10
11
11
01
10
10
01
10
11
11
11
00
10
10
10
11
00
11
10
11
10
00
11
10
01
01
10
10
00
11
10
01
00
11
10
10
10
10
00
01
10
11
10
10
10
01
11
11
01
01
00
10
10
00
01
01
11
11
00
10
10
00
01
10
11
01
00
01
01
00
11
10
00
10
00
01
10
10
00
00
00
10
00
00
10
11
01
00
11
10
01
00
11
10
00
10
00
10
10
01
11
00
10
00
00
01
00
11
10
00
00
11
10
00
10
11
00
01
01
11
10
10
10
11
10
01
00
11
11
10
01
00
00
10
01
00
00
11
00
01
10
00
00
10
10
00
10
11
01
00
00
00
10
11
11
10
10
10
00
11
10
10
00
00
01
01
11
01
11
01
01
10
11
10
00
01
10
00
00
10
10
11
01
01
10
10
10
10
01
01
01
11
10
01
00
10
00
00
10
10
10
00
00
11
00
10
00
11
01
10
10
01
01
11
10
10
00
10
10
01
11
00
11
11
00
01
00
10
00
00
00
11
00
01
00
10
00
10
10
01
10
10
01
01
01
00
10
10
01
00
10
10
11
10
00
00
01
01
10
00
11
10
00
11
10
10
00
11
00
00
10
10
10
10
11
11
10
00
10
10
11
11
01
01
00
10
11
11
01
01
01
10
11
00
10
11
01
00
10
00
11
10
00
01
10
00
01
01
11
10
01
10
10
10
10
00
01
01
10
10
01
10
01
00
10
01
00
11
00
11
10
01
01
00
10
11
00
10
10
00
01
10
11
01
00
10
00
00
10
00
01
10
01
00
00
01
11
01
10
10
00
01
10
10
10
00
00
01
11
00
00
10
00
00
10
10
00
10
00
10
11
00
10
10
01
10
00
00
11
01
01
10
00
00
10
10
11
10
00
01
11
11
10
00
00
00
11
00
11
10
00
00
00
10
01
10
10
01
10
10
00
00
11
11
01
00
00
00
10
01
00
11
10
00
00
00
00
00
10
00
01
10
10
11
11
11
01
10
11
00
00
10
00
00
11
10
11
01
11
01
00
00
00
11
11
01
01
00
11
10
10
00
00
10
11
00
01
11
11
00
11
00
01
10
10
10
00
10
11
10
00
10
11
10
01
01
01
00
10
00
11
00
01
00
00
01
01
11
10
11
00
00
00
00
10
11
10
00
00
11
01
10
00
10
10
01
10
10
01
01
11
11
00
00
00
00
00
10
10
00
11
10
00
11
00
10
11
00
10
01
00
10
01
01
10
10
00
00
00
10
10
11
00
00
11
00
00
01
10
00
10
00
00
01
00
11
01
11
11
00
10
01
01
10
11
01
00
00
00
11
11
00
01
11
10
00
10
10
01
10
10
11
00
00
10
10
00
00
00
01
01
01
11
00
00
01
01
10
11
00
00
10
01
00
00
10
10
10
11
10
01
00
01
01
00
11
11
10
00
00
11
10
01
01
10
01
00
00
00
00
10
11
10
11
10
00
00
01
10
00
00
00
00
00
11
00
10
10
10
00
00
01
00
00
11
00
00
10
11
00
10
00
11
00
00
11
10
10
01
10
00
11
01
10
11
11
10
10
00
10
01
00
10
10
10
11
10
11
00
01
10
10
01
00
11
00
00
11
01
11
10
00
01
00
00
01
10
10
11
10
00
00
01
00
01
10
10
00
01
00
10
11
01
10
00
00
10
10
11
00
01
11
00
10
00
01
10
01
00
11
00
00
00
01
10
01
11
11
11
10
01
00
00
10
00
00
11
11
01
11
11
00
10
10
00
00
01
10
10
01
10
11
10
00
00
10
10
00
10
00
10
10
10
11
00
00
10
10
00
11
11
01
00
01
10
11
00
11
00
00
00
11
01
00
10
10
10
10
01
00
10
11
00
10
01
00
01
11
00
01
10
01
00
00
11
10
00
01
11
10
10
00
10
10
00
10
11
00
10
11
10
11
00
00
10
11
00
01
00
11
00
10
00
11
00
00
00
11
00
00
11
00
00
10
01
00
01
11
00
10
10
10
00
11
10
00
10
00
01
11
11
00
00
00
10
11
10
10
10
00
00
11
00
01
00
01
11
11
11
10
00
10
00
01
10
10
00
11
11
11
00
01
11
10
10
00
01
11
01
11
11
11
10
00
10
00
00
00
10
10
00
11
01
10
00
10
10
00
00
01
10
01
00
10
11
10
00
00
00
11
01
11
11
10
00
00
01
10
11
00
00
11
10
00
11
10
00
10
10
11
00
00
10
00
00
00
10
11
10
11
10
01
10
00
10
00
10
11
10
00
11
01
10
10
00
00
00
10
00
00
10
11
10
01
10
10
01
01
00
11
00
00
10
11
10
01
00
11
00
01
01
10
10
00
10
11
00
00
10
10
00
10
00
00
00
11
00
10
01
11
10
11
10
00
11
00
11
10
00
00
10
10
11
00
00
00
10
00
00
00
10
00
01
10
10
10
00
11
11
00
00
10
10
10
00
01
10
11
00
10
10
10
10
00
00
10
00
10
10
00
11
00
01
01
00
11
10
01
10
00
00
10
00
01
00
11
11
10
00
00
00
10
01
01
11
01
01
00
01
10
00
11
01
01
10
00
11
10
10
00
10
10
11
01
01
01
00
01
11
01
01
11
11
10
00
00
10
10
11
01
00
10
11
10
11
01
01
10
10
00
01
01
00
10
01
10
01
00
10
00
00
00
10
11
11
10
01
10
00
00
11
00
11
11
00
00
00
10
11
00
00
00
00
00
10
00
10
00
11
00
00
10
10
10
10
00
00
10
00
00
10
00
10
11
00
10
10
10
01
00
01
00
00
10
10
11
01
01
11
10
10
10
00
00
11
11
00
11
00
01
10
10
10
01
00
10
11
00
11
00
00
00
10
10
11
00
00
11
00
10
10
11
10
00
01
01
11
10
10
10
11
00
00
00
10
00
10
00
10
10
10
10
11
10
10
00
01
11
10
00
00
00
11
10
10
00
01
11
00
11
10
11
11
00
11
00
01
00
11
10
00
10
10
00
01
00
00
01
10
01
11
00
00
10
11
00
11
10
10
00
10
00
01
11
10
00
11
00
00
01
11
00
10
00
00
00
10
11
00
00
00
10
00
10
10
10
00
10
00
10
11
10
01
01
10
01
00
11
00
11
11
01
00
10
11
10
11
01
00
10
00
10
10
00
01
10
11
00
01
10
01
10
00
11
10
10
00
11
10
00
10
00
00
11
10
10
00
11
00
10
10
00
11
11
00
10
00
01
11
10
10
10
00
11
10
00
00
11
00
00
01
11
11
11
00
00
00
01
01
10
00
11
00
00
01
10
10
00
00
01
10
00
01
01
10
10
00
10
00
00
00
01
10
00
00
10
01
00
00
10
11
11
00
10
00
10
11
00
10
00
10
01
01
11
10
01
01
11
10
00
01
11
00
10
10
10
00
01
10
01
01
11
00
11
01
10
11
01
00
11
10
01
10
00
00
00
01
00
00
11
10
00
00
00
10
00
00
10
00
00
10
01
10
10
11
00
01
01
10
10
00
00
10
10
00
00
10
11
11
01
01
00
00
10
00
00
10
10
00
01
11
11
00
10
10
10
00
10
10
00
00
10
10
00
11
00
11
11
10
11
01
11
11
10
00
00
10
10
01
01
10
10
00
01
10
00
10
11
00
00
11
11
10
00
10
00
00
00
10
10
10
00
10
10
00
10
10
10
10
00
00
10
10
01
10
00
10
11
11
00
01
10
00
00
10
00
11
10
00
10
11
00
11
11
11
10
10
11
00
10
01
10
10
11
01
00
10
11
01
11
11
01
11
11
00
00
10
10
10
11
10
01
00
00
11
01
00
00
11
11
11
10
10
10
10
10
01
00
11
00
00
00
01
00
00
01
10
11
00
11
11
00
01
11
10
10
00
10
00
01
11
10
00
10
01
01
00
01
00
10
11
11
10
01
01
10
10
00
10
10
01
00
10
00
10
11
01
00
10
00
00
01
10
00
00
00
01
01
01
11
11
01
01
11
00
00
10
10
00
00
10
01
01
11
11
11
10
10
10
00
01
00
00
10
10
00
00
10
11
10
00
00
10
11
10
10
00
11
10
01
00
00
11
01
10
10
10
00
11
00
11
10
10
10
10
00
01
10
10
11
10
10
11
11
11
10
00
00
00
00
01
00
10
10
01
00
10
10
01
00
11
10
11
01
10
01
00
00
10
01
01
10
01
00
10
00
00
00
10
00
11
10
11
00
00
00
01
10
00
10
10
10
10
00
10
01
10
00
01
01
11
00
01
10
00
10
00
00
10
10
00
10
10
10
01
01
00
00
00
01
10
01
00
11
10
00
01
01
11
10
11
11
00
00
00
11
11
11
00
00
11
00
10
10
00
11
10
00
10
01
10
00
00
10
00
00
10
10
00
10
10
00
00
00
10
01
11
00
10
00
01
00
00
11
11
00
10
10
01
01
01
11
11
00
10
10
00
10
10
01
00
00
11
00
11
10
10
00
00
10
11
00
11
00
00
00
00
10
10
10
01
10
10
10
10
10
10
10
10
10
01
10
11
10
00
10
11
00
00
10
01
10
10
00
00
01
00
11
00
00
10
00
10
10
11
00
10
10
00
10
11
10
11
10
10
01
10
10
10
10
00
00
10
11
01
01
01
00
00
10
00
10
10
01
01
10
10
00
10
11
11
11
11
01
10
11
00
01
10
00
00
10
01
00
01
11
11
11
00
10
10
01
10
10
00
00
10
00
01
00
11
10
11
10
10
10
01
00
11
10
00
00
11
10
01
11
10
11
00
00
10
11
10
10
00
00
00
01
00
00
11
01
11
01
01
11
11
10
01
00
00
10
00
10
10
01
11
00
00
10
01
00
00
00
10
10
10
10
11
10
01
10
00
01
10
10
00
10
00
10
00
00
11
00
00
01
00
11
00
00
11
10
00
11
00
11
10
01
11
10
01
00
10
10
01
01
11
10
01
00
01
01
10
10
01
00
11
00
00
10
10
01
10
10
00
01
00
10
00
01
10
01
10
10
10
11
01
01
00
10
00
10
11
10
10
00
00
10
10
10
10
00
10
00
10
11
01
01
11
10
10
00
01
11
11
01
00
10
10
00
10
10
00
00
00
01
10
10
00
11
01
10
10
01
10
11
11
10
11
01
01
00
11
10
01
10
11
00
00
00
10
10
00
01
01
10
00
11
01
11
00
00
00
10
11
10
10
11
10
00
00
01
00
01
00
00
10
10
11
10
10
11
01
10
11
10
10
00
01
11
00
01
01
11
11
11
11
11
00
11
01
00
01
11
10
00
00
11
00
10
10
10
11
00
00
10
01
01
01
00
00
10
10
10
11
01
00
00
10
00
10
10
00
10
11
11
10
00
10
11
00
01
01
00
01
10
10
00
00
11
11
10
01
00
00
11
11
10
10
11
00
00
00
10
10
01
00
10
00
00
11
10
00
10
01
00
10
01
01
00
10
00
00
00
10
11
00
00
10
00
00
00
01
10
10
01
00
10
10
00
10
11
00
00
00
10
11
00
10
00
11
01
00
01
10
11
10
11
00
00
00
11
00
01
00
10
10
10
01
00
10
10
11
01
11
10
00
00
11
01
00
10
11
11
10
00
01
11
10
10
11
00
01
00
10
00
10
11
10
00
00
11
00
10
01
01
11
10
00
11
00
11
10
00
00
11
00
00
00
10
01
00
10
10
01
01
10
10
10
01
11
10
11
00
10
00
01
11
11
10
00
01
10
10
00
00
11
00
11
10
10
00
01
10
10
00
00
11
00
10
10
10
00
11
10
00
10
00
00
00
10
10
00
10
00
00
11
00
01
00
01
11
10
00
10
10
01
10
10
11
00
00
10
11
10
10
00
01
10
11
10
00
10
10
00
00
11
11
10
01
01
10
10
10
11
00
00
00
11
10
10
11
10
01
10
01
01
11
10
11
00
00
10
01
00
10
11
00
00
00
11
00
00
11
10
00
00
11
00
00
11
10
00
10
00
01
00
00
10
00
11
00
10
10
01
10
00
11
00
01
11
01
11
11
00
00
10
10
01
01
10
10
10
01
01
01
00
00
11
01
10
00
11
11
10
11
11
00
00
00
11
00
10
10
00
10
01
10
10
01
00
11
10
11
00
00
10
00
00
11
10
11
10
01
11
01
10
00
10
10
00
00
00
01
00
11
10
10
11
10
00
10
00
01
10
00
10
10
00
01
11
11
00
00
11
10
00
00
10
11
10
01
00
10
11
00
01
10
00
01
00
11
11
11
10
00
10
10
10
00
00
11
10
00
01
00
00
01
10
11
10
11
10
11
11
10
10
00
01
10
11
00
01
11
11
10
00
01
01
00
11
10
10
10
00
00
10
00
01
10
11
10
01
11
01
00
11
10
00
10
01
00
10
00
00
10
00
00
10
00
11
10
10
11
01
01
00
00
00
00
10
10
00
00
10
01
10
00
01
10
10
00
00
10
00
00
11
10
01
00
10
01
01
01
10
01
01
00
11
01
00
10
10
11
01
00
10
00
00
10
10
10
00
10
10
00
00
10
11
10
10
10
10
00
00
10
10
10
01
00
01
11
01
10
10
10
10
11
01
00
01
11
11
10
01
00
10
00
11
10
00
00
10
00
00
00
10
11
11
10
00
11
10
01
00
00
10
10
00
10
01
10
00
00
11
10
00
01
11
01
00
10
00
01
10
01
01
00
11
00
00
00
10
10
00
00
01
10
10
10
11
10
00
00
00
00
10
10
10
00
00
00
00
00
10
00
10
00
10
11
10
01
00
00
10
10
10
10
10
01
00
00
00
01
00
10
01
01
10
00
01
11
10
11
10
00
11
10
00
10
00
01
00
00
10
00
01
11
00
11
00
11
10
00
01
10
10
00
10
01
11
00
00
01
01
01
11
11
00
01
10
01
11
10
01
00
10
11
00
01
10
01
00
10
10
11
00
10
10
00
10
00
11
11
00
00
10
10
10
00
10
10
00
00
10
01
10
10
10
10
10
00
00
10
00
10
10
11
00
00
11
01
00
01
11
10
00
11
10
11
11
00
01
10
00
10
11
01
10
10
01
10
00
10
10
10
00
00
11
00
01
11
11
01
00
10
10
00
00
10
00
00
11
00
00
00
11
10
01
00
10
10
00
00
00
11
11
10
00
10
00
10
00
10
00
10
11
10
00
01
10
11
11
10
00
11
00
11
10
11
10
00
01
11
01
01
01
11
10
11
11
10
00
00
10
00
10
10
00
01
01
11
00
00
00
00
00
00
00
00
10
00
01
10
11
11
10
10
01
01
10
10
00
00
00
11
10
10
00
01
10
11
00
10
01
10
00
00
10
10
10
00
11
01
01
11
11
00
11
00
00
10
10
11
00
11
10
00
10
10
01
11
10
01
01
11
10
01
11
10
01
00
10
10
10
01
01
10
01
10
10
00
00
00
00
10
11
01
00
10
00
10
01
00
10
10
00
10
00
00
01
00
10
00
00
00
11
10
10
11
00
10
00
00
00
01
11
01
00
10
10
00
01
01
11
11
10
11
00
00
10
10
01
01
10
11
10
00
00
00
11
10
00
00
10
10
10
00
01
01
10
11
10
11
11
01
11
10
00
00
10
00
11
10
00
00
10
01
10
00
00
11
00
00
00
11
00
00
00
11
01
01
10
11
11
00
00
10
10
00
10
00
00
11
00
10
10
10
10
00
11
01
10
10
01
00
01
11
10
11
01
01
01
10
01
10
10
01
11
10
01
01
10
01
00
10
00
11
10
10
10
00
00
00
11
11
01
00
10
01
00
00
11
10
00
00
10
10
11
01
00
00
11
00
10
11
00
00
11
10
10
00
11
00
11
10
01
11
10
01
00
01
11
10
00
00
10
10
10
01
00
00
01
10
00
10
00
11
00
11
10
01
01
11
10
00
00
10
00
00
00
10
11
01
01
10
10
10
10
00
10
00
11
11
00
00
00
10
00
00
10
11
00
00
10
01
10
00
00
11
11
01
00
00
10
01
10
10
00
10
00
01
11
01
11
01
00
01
00
00
10
10
00
00
01
10
00
00
00
00
10
01
00
00
01
01
00
10
00
00
01
11
01
10
11
00
01
10
10
01
00
10
10
11
01
10
10
00
10
11
00
10
00
10
10
01
10
00
10
10
10
10
10
00
11
10
00
00
00
11
11
00
11
11
00
10
10
00
10
10
01
00
01
11
11
10
01
10
10
10
00
01
00
10
11
00
10
10
00
00
10
00
10
00
10
10
01
11
01
01
01
00
10
11
00
00
11
10
11
00
00
10
01
00
11
11
01
10
01
10
11
10
01
00
11
11
01
10
11
11
00
01
10
11
01
01
00
00
11
10
00
00
10
11
00
01
11
10
00
00
11
10
10
00
00
01
01
11
00
10
11
11
11
10
10
00
00
00
11
10
10
00
00
10
00
01
00
01
00
00
10
00
01
10
10
00
00
00
10
11
00
01
01
00
00
10
10
00
11
10
00
00
00
11
10
01
10
00
11
10
00
00
00
10
00
01
10
01
10
01
11
11
10
01
00
10
10
00
01
11
10
00
10
00
00
10
10
10
01
10
01
00
11
10
00
00
00
10
10
10
00
10
11
11
00
00
10
11
10
11
10
01
10
00
01
10
11
00
00
10
10
00
00
00
00
00
00
00
01
10
11
11
00
00
00
11
00
00
11
11
10
01
00
01
10
11
00
00
10
10
11
01
11
10
01
10
00
11
11
11
01
10
10
01
10
10
10
01
11
01
01
01
10
00
00
10
10
00
00
10
01
00
10
10
01
00
10
01
10
10
11
00
11
00
00
10
10
00
00
10
10
00
10
10
00
00
00
00
10
10
01
00
10
11
00
10
00
10
10
01
01
10
00
00
01
10
11
00
10
10
11
10
01
10
00
00
00
11
00
00
11
00
01
00
10
10
11
01
11
11
01
10
11
01
11
11
00
01
10
10
00
01
10
00
00
11
01
01
11
10
00
11
10
00
11
11
10
00
11
10
11
00
01
00
11
11
00
10
10
00
01
01
10
01
00
11
00
01
00
11
11
00
11
10
01
00
00
00
10
11
00
00
10
11
11
11
01
10
11
00
10
00
00
11
10
10
00
00
00
00
11
10
00
00
01
01
00
00
01
10
10
10
01
11
01
10
10
00
00
10
01
01
10
01
10
01
00
00
00
10
01
00
10
10
01
10
11
00
11
11
10
10
00
00
10
10
00
00
10
10
00
11
00
00
00
10
10
00
00
00
01
10
11
01
10
10
01
11
00
11
00
00
10
00
00
00
11
11
10
01
10
10
01
01
01
10
00
00
00
11
01
00
11
10
11
10
11
00
11
10
01
11
10
00
11
11
10
00
01
10
11
11
10
01
00
10
01
10
10
11
11
10
10
00
00
00
11
10
00
10
10
00
11
00
10
10
00
00
10
00
10
10
00
01
10
10
00
01
00
11
00
01
10
10
11
10
01
01
10
01
01
10
00
00
01
00
11
11
10
11
00
01
10
00
00
00
10
11
00
10
00
00
11
00
00
10
01
11
10
00
10
11
00
11
00
10
10
00
00
00
10
10
10
00
00
00
10
10
10
10
10
10
00
00
00
10
00
01
10
10
01
00
10
01
00
11
01
00
00
00
01
10
00
00
11
10
10
10
10
10
01
10
10
10
01
01
00
10
10
01
00
10
01
00
01
10
00
00
10
11
01
00
01
10
00
01
10
10
00
00
10
10
00
00
00
00
00
00
00
01
11
10
00
00
11
01
00
10
01
00
10
10
11
00
01
00
11
00
00
10
10
10
00
00
01
10
10
11
10
10
11
00
00
01
10
10
10
00
00
11
11
10
10
00
00
00
00
11
11
10
10
01
01
11
01
01
00
10
00
00
10
11
01
00
11
10
00
00
00
00
11
10
00
10
00
10
00
00
11
01
00
10
01
10
00
00
11
11
11
10
10
00
00
10
10
01
00
10
11
10
01
00
11
11
10
00
00
01
10
01
01
11
10
11
10
00
00
01
10
10
01
00
00
10
01
00
01
00
10
11
11
00
01
00
10
00
10
10
01
00
10
01
10
10
10
01
10
10
10
01
10
10
00
00
01
10
11
11
00
01
10
01
01
01
10
10
11
00
00
10
01
00
11
10
00
11
11
10
10
11
01
01
10
10
01
01
10
01
10
10
10
01
10
10
01
00
10
00
01
10
10
10
10
10
10
10
00
01
11
00
00
00
10
10
10
10
00
10
10
10
10
01
00
00
00
00
10
01
10
00
10
10
00
11
00
00
01
11
01
10
10
10
01
10
01
00
10
00
01
10
11
00
00
10
11
10
01
00
10
11
00
11
11
11
01
01
00
11
00
01
11
11
11
00
11
10
11
00
00
11
10
01
10
11
01
01
10
01
11
11
11
11
00
01
10
00
00
00
11
00
10
11
00
10
10
00
11
00
11
11
10
00
01
00
00
00
11
01
10
10
00
10
10
11
11
00
10
00
00
00
01
10
10
11
01
01
00
10
10
00
01
10
10
00
00
10
10
11
00
10
01
10
11
00
00
00
01
10
10
00
00
10
10
10
00
10
10
00
00
10
10
00
10
10
00
00
11
00
10
00
00
10
01
01
10
10
00
00
10
00
10
11
11
10
00
10
11
00
00
11
10
11
11
11
11
00
01
11
10
00
00
10
00
01
11
00
01
10
10
01
00
01
10
00
00
01
10
01
01
10
01
11
10
11
10
01
00
11
00
00
11
11
11
10
11
11
00
00
00
10
01
00
11
11
11
10
11
01
01
01
10
00
10
00
00
10
01
10
00
10
00
00
10
01
10
01
10
00
00
10
11
00
00
10
10
01
01
00
11
10
00
10
00
00
10
00
00
11
10
11
10
10
00
11
10
11
11
01
00
10
01
10
10
00
11
00
00
11
01
01
00
10
00
01
11
10
10
11
00
11
10
01
00
10
00
10
10
01
00
10
00
00
10
01
00
11
00
00
10
11
00
01
01
10
00
00
00
10
10
01
00
00
10
10
00
00
11
01
11
00
01
00
01
01
00
10
10
10
11
10
01
01
00
10
10
00
00
11
10
11
00
00
11
00
00
00
00
10
10
00
00
10
00
11
11
00
11
10
00
01
01
01
11
10
00
00
00
11
10
10
10
00
01
00
10
00
11
10
00
10
01
10
10
11
10
10
00
10
00
10
10
00
00
10
10
00
00
10
10
10
01
10
10
00
10
00
00
01
00
11
00
01
00
01
01
00
10
10
10
00
11
10
11
00
11
10
11
00
00
11
01
01
01
01
10
00
10
10
10
10
00
11
10
11
10
10
11
00
10
00
00
11
01
01
01
10
11
00
10
11
11
00
00
11
10
00
00
10
11
00
11
11
01
10
00
00
01
11
01
11
11
10
11
01
11
01
00
10
00
00
11
10
01
00
10
00
00
01
00
00
10
10
10
01
01
11
01
01
00
10
11
01
00
10
00
00
01
10
10
00
01
10
01
10
00
11
10
11
00
11
10
00
00
01
00
11
00
01
10
00
01
10
10
11
00
01
10
11
00
10
10
00
10
10
10
00
11
11
00
11
00
00
00
01
00
10
11
00
11
11
11
00
10
01
00
00
10
10
10
01
00
10
00
00
11
10
00
00
10
00
00
10
10
10
00
10
00
10
10
01
00
10
00
10
00
00
10
01
11
11
10
00
00
01
11
11
00
01
11
00
11
01
00
00
10
10
11
00
01
00
00
00
00
10
01
10
10
00
01
00
01
10
10
11
01
10
11
01
01
00
00
10
01
11
10
00
01
01
10
01
11
00
11
10
00
00
00
10
00
00
10
00
00
01
00
11
00
10
10
00
00
00
10
10
01
00
10
00
01
01
10
11
10
00
10
00
00
10
00
00
11
01
10
10
10
11
00
11
00
10
00
10
00
10
10
00
10
10
00
11
11
00
10
11
11
11
01
10
00
00
01
01
01
11
11
00
01
10
00
01
10
11
00
10
10
10
11
10
00
01
10
01
10
00
10
00
00
10
00
01
10
01
00
10
01
00
00
00
00
10
00
00
11
10
10
10
11
00
11
10
01
00
00
10
11
00
00
00
00
01
00
00
11
10
11
10
01
00
00
00
00
11
00
01
11
00
10
10
00
10
00
01
10
00
10
00
10
10
01
00
10
11
11
11
00
00
11
01
10
00
01
11
00
11
11
11
10
01
00
00
11
11
10
01
10
00
11
00
01
10
00
00
11
10
00
01
10
00
00
10
10
10
01
10
10
00
00
11
11
01
11
00
00
11
00
00
10
10
01
00
10
01
11
10
00
10
01
00
00
11
10
10
10
01
11
10
01
00
11
10
01
01
01
10
10
00
00
10
11
00
11
10
01
00
11
00
00
10
10
10
00
11
10
01
00
00
10
00
11
10
10
00
00
01
10
00
10
00
01
00
01
10
11
10
10
01
10
11
10
10
00
10
01
01
10
10
10
10
10
11
00
10
10
00
00
00
10
00
00
00
10
10
01
00
01
10
00
00
10
00
11
01
01
00
11
10
01
00
01
01
10
00
10
01
00
10
11
10
11
10
00
00
11
01
00
11
10
11
01
11
10
10
01
00
10
11
00
00
11
00
00
01
00
00
10
10
01
00
00
10
10
00
00
00
00
10
00
10
01
00
10
11
10
11
00
01
11
10
10
11
00
01
10
10
00
00
00
00
10
01
00
01
10
00
10
10
10
10
00
01
00
10
10
00
00
01
01
00
01
00
10
11
00
10
00
00
10
01
11
10
00
00
10
01
11
00
01
00
00
10
00
10
10
00
01
01
10
01
00
10
10
10
10
10
00
11
01
00
00
10
01
10
10
00
11
11
00
11
00
00
01
00
11
10
10
00
00
10
01
00
10
00
00
11
00
00
10
00
10
00
01
00
11
11
11
00
10
00
00
11
00
10
00
00
11
01
10
10
00
10
10
10
01
01
00
10
10
00
01
10
10
11
10
00
11
10
10
01
10
01
10
10
00
00
01
10
10
00
10
10
11
11
10
01
10
10
01
01
10
11
00
10
00
00
01
00
01
10
10
10
00
10
10
00
00
10
00
00
00
11
00
00
10
10
11
00
10
00
10
01
00
00
01
10
00
10
10
00
10
00
00
11
10
00
01
11
11
10
11
00
00
10
00
00
00
00
11
10
01
10
01
10
10
00
01
11
10
10
01
10
11
00
10
00
10
00
10
11
00
00
10
00
01
00
10
10
11
00
10
00
01
11
10
10
00
10
10
01
10
10
00
00
10
11
10
00
00
01
01
11
00
01
00
11
00
01
10
10
10
01
10
11
10
10
00
00
00
00
00
10
10
10
10
00
00
10
01
10
10
01
10
11
01
10
00
10
10
10
10
00
11
10
10
10
00
00
00
00
10
11
01
01
00
00
00
00
00
01
01
10
10
00
00
01
10
00
01
10
01
10
00
10
00
00
10
00
00
10
11
10
00
00
10
10
00
10
01
10
01
10
11
11
10
11
00
00
00
10
10
01
00
10
10
11
10
11
10
00
10
10
10
10
00
00
01
10
10
10
01
01
00
01
11
01
01
10
01
00
10
11
10
00
10
10
00
00
11
10
10
00
10
10
10
01
01
01
10
01
01
11
01
00
10
11
10
01
01
11
10
00
00
11
00
01
10
10
01
11
11
00
00
10
01
10
11
01
01
01
10
11
10
00
00
01
10
10
11
00
00
00
10
11
11
10
01
11
10
10
10
11
00
00
01
00
10
01
10
10
01
00
10
00
11
00
00
10
10
11
10
10
11
10
00
01
10
00
00
00
01
10
10
00
10
10
00
10
10
00
01
11
10
00
10
10
10
00
01
01
01
01
00
01
10
10
00
11
11
10
10
00
10
11
00
01
11
11
01
00
10
11
10
00
00
10
11
00
00
00
10
00
00
10
10
11
01
11
10
00
10
11
01
01
01
10
11
00
11
10
11
00
00
11
00
10
10
11
00
00
10
00
11
11
11
01
01
11
10
10
00
01
10
00
01
10
01
11
11
11
00
00
11
10
00
01
10
10
00
01
10
01
00
10
01
11
11
10
01
00
11
10
01
00
00
00
10
11
01
10
10
11
00
10
10
00
10
10
10
01
00
10
11
00
10
00
10
11
10
00
00
11
11
00
10
10
11
00
00
00
00
11
10
10
01
01
01
00
10
11
11
10
10
01
10
01
01
01
00
10
01
10
10
01
00
11
10
00
10
10
00
10
10
01
00
10
11
11
10
10
10
11
00
01
01
10
00
00
00
00
00
11
10
10
00
10
10
00
00
10
00
00
00
10
00
10
00
11
10
00
00
10
10
00
01
01
10
10
00
10
00
11
00
01
00
00
10
00
11
10
01
00
10
10
10
01
00
10
01
00
11
10
00
00
11
00
11
01
11
10
11
00
00
01
11
00
10
01
01
10
10
00
00
10
01
00
10
11
11
00
11
11
00
00
11
11
00
00
10
00
10
00
00
10
11
01
01
10
01
00
00
10
10
00
01
01
00
00
00
10
10
11
00
10
01
00
10
01
10
11
01
10
00
01
01
00
00
10
10
00
00
00
11
00
10
00
00
00
00
11
10
10
11
00
00
01
00
11
11
10
10
00
11
01
00
10
00
11
10
10
01
00
10
00
01
10
10
10
10
10
10
00
10
00
00
00
00
01
10
10
10
01
10
01
10
01
11
11
10
10
01
00
10
10
00
00
00
10
11
10
00
11
00
01
10
01
00
01
11
01
00
10
10
00
01
11
10
11
10
00
00
10
01
10
10
01
11
10
10
00
10
10
00
01
01
10
11
10
11
00
11
10
10
10
01
00
00
10
11
00
00
00
01
11
11
00
00
11
11
01
10
10
00
10
10
00
11
10
00
00
11
10
10
01
00
10
10
10
00
10
01
10
11
10
00
01
10
10
00
11
10
00
10
01
10
00
00
01
10
10
10
10
10
10
01
00
11
10
10
10
10
01
01
01
10
00
01
10
01
10
00
00
01
00
10
00
00
10
11
00
01
00
01
00
00
10
00
00
00
01
10
00
01
10
00
00
00
00
01
01
01
01
10
11
11
10
01
11
11
00
00
10
00
11
10
01
11
10
01
00
11
10
11
11
10
01
01
00
11
00
00
00
11
11
11
00
00
11
11
01
00
11
10
00
00
01
11
00
00
10
10
00
01
00
10
11
00
00
01
10
10
11
00
00
10
10
00
10
01
00
01
01
11
01
00
10
11
10
01
00
10
00
00
11
11
11
10
11
00
00
10
00
10
11
10
01
11
10
10
10
11
00
01
00
00
01
10
10
01
10
10
01
01
00
10
00
11
00
00
10
00
10
10
10
10
00
10
00
00
10
00
11
00
10
01
01
11
00
01
00
10
11
10
01
00
11
01
00
11
10
00
01
11
01
10
10
00
10
11
10
01
10
01
00
10
00
11
00
00
00
10
00
01
10
10
10
01
00
11
10
10
01
00
10
01
00
10
10
00
00
01
00
10
01
10
10
11
01
00
00
11
10
10
00
00
11
10
10
00
11
10
00
01
10
11
01
00
11
00
01
10
10
00
00
10
00
11
10
10
10
00
01
00
11
10
01
10
10
00
10
01
00
10
10
10
01
10
10
00
11
10
00
00
00
11
01
00
10
11
01
11
00
10
10
00
10
10
01
10
10
00
11
11
00
01
11
10
00
00
10
10
00
00
00
10
00
10
00
11
11
00
10
11
00
01
00
10
10
11
00
10
00
00
00
11
10
00
11
11
00
00
10
10
10
11
10
11
10
00
11
10
10
00
10
00
00
11
10
00
00
10
00
11
00
10
10
11
10
00
00
10
10
01
01
10
11
10
10
00
10
00
00
01
10
10
10
00
01
00
10
00
11
10
01
01
00
00
10
10
00
11
01
01
00
11
00
10
01
00
11
10
11
00
10
10
10
01
00
11
00
10
01
01
01
10
10
10
10
01
00
00
10
10
11
01
00
10
00
10
10
11
01
00
00
10
10
01
01
10
11
10
01
00
00
01
01
00
10
01
00
10
10
11
11
01
01
11
00
01
00
01
10
11
01
00
10
10
01
01
10
11
10
11
11
11
00
01
10
00
01
11
10
11
00
00
00
00
11
01
00
11
11
10
11
00
01
00
10
00
10
11
00
00
00
00
11
01
00
11
00
10
10
10
00
01
10
11
00
10
10
10
00
00
00
00
10
11
11
01
10
01
00
00
11
11
10
00
01
10
01
10
10
00
01
00
10
00
11
00
11
00
00
10
10
00
11
00
01
00
01
10
00
10
10
00
00
11
10
00
00
10
00
01
00
10
10
01
11
00
11
01
00
11
10
01
01
11
01
00
00
11
00
11
11
00
00
10
10
00
00
10
11
00
11
10
10
00
10
01
10
00
00
11
01
10
00
11
11
01
00
00
10
01
11
11
00
01
10
00
10
10
00
00
00
10
00
00
10
10
10
11
10
10
10
00
10
10
11
00
11
01
11
10
10
10
10
00
00
10
10
01
00
01
00
10
00
01
10
10
10
10
01
00
10
00
01
10
10
01
11
00
00
01
10
10
01
00
10
00
10
01
00
00
01
01
00
10
10
10
11
00
00
00
00
10
11
11
10
10
10
00
11
00
00
00
00
11
00
10
10
00
10
11
10
00
00
01
00
10
10
01
11
10
00
11
01
11
00
10
10
00
00
10
10
00
01
10
00
01
00
11
00
11
10
00
00
00
10
11
10
00
10
10
01
00
00
10
00
10
11
00
11
11
00
00
01
10
10
11
11
10
00
11
10
00
00
11
00
00
10
11
11
01
00
10
10
00
11
10
00
00
10
00
10
00
01
01
11
11
00
00
00
10
00
11
01
00
10
10
11
10
11
10
01
10
00
00
00
01
10
11
00
00
01
10
11
11
00
01
01
10
00
11
11
10
10
01
10
10
00
10
10
10
00
00
11
00
10
10
00
11
11
11
00
11
00
00
11
10
11
00
01
10
00
00
00
11
11
01
01
11
11
11
10
00
10
11
01
00
10
00
01
00
00
10
00
11
10
10
00
10
00
00
01
10
00
10
10
00
10
00
00
00
11
00
00
01
00
10
10
10
10
10
00
01
11
10
10
01
01
01
11
10
01
00
10
10
00
00
10
11
11
10
00
01
00
01
01
00
00
10
10
01
00
11
00
01
10
11
10
10
00
01
00
00
10
10
00
00
01
11
01
01
01
10
01
10
00
00
10
10
01
00
10
00
10
10
00
10
11
10
00
10
00
01
10
10
00
00
01
10
10
00
10
01
00
01
11
11
00
11
10
00
00
10
11
00
00
10
10
10
00
11
00
00
00
00
01
10
00
10
11
00
10
10
01
00
11
00
11
11
01
11
00
00
10
10
00
10
10
00
10
01
00
11
01
00
01
11
01
10
11
11
11
00
01
00
11
00
01
11
10
01
10
00
01
01
10
10
00
00
10
00
00
00
00
10
00
01
10
00
11
10
00
01
00
10
00
01
10
01
00
10
11
10
11
00
10
11
00
01
00
00
10
10
10
00
10
01
01
10
01
11
00
00
11
00
10
00
00
10
10
01
11
00
00
11
11
11
10
11
11
00
10
00
00
10
00
01
00
10
00
01
00
11
01
11
10
11
00
01
00
01
10
11
10
10
10
00
00
11
10
11
00
00
10
10
00
10
01
00
01
10
10
00
00
10
00
10
00
01
00
10
00
00
11
00
11
11
11
10
00
00
11
00
00
00
10
10
10
10
10
10
01
11
00
00
11
01
00
00
10
00
00
10
00
01
11
10
10
00
11
00
11
01
01
00
11
00
10
00
01
11
11
10
00
10
00
00
11
00
00
10
10
00
01
10
01
10
01
10
11
00
11
10
01
10
11
10
00
00
11
00
01
00
10
00
00
10
10
11
00
01
10
10
00
00
00
11
00
01
11
01
10
11
01
00
01
00
01
10
00
01
10
10
11
11
00
00
00
00
00
11
10
00
10
01
11
00
00
11
00
01
11
00
01
10
11
10
10
00
00
10
11
11
10
01
10
00
10
01
00
11
10
00
01
10
00
01
10
10
11
10
01
00
01
00
01
11
10
01
00
00
10
00
00
00
00
11
10
00
10
10
01
11
00
00
00
11
10
11
00
10
10
10
00
00
10
11
01
00
10
11
10
11
10
00
00
00
10
00
01
10
10
01
00
01
10
10
10
00
11
00
10
10
11
00
01
11
00
00
10
10
01
00
10
10
00
01
10
10
01
01
10
11
00
11
11
11
01
00
11
10
10
00
11
00
00
10
11
10
10
00
10
10
00
10
00
00
10
10
10
11
11
11
01
00
11
00
00
11
11
01
00
10
10
01
10
00
11
10
01
00
01
01
01
01
10
01
00
00
10
10
00
00
00
00
00
10
11
11
11
01
10
10
10
00
00
11
00
10
00
00
01
00
10
11
00
00
00
00
01
11
01
10
01
00
10
11
01
10
01
00
11
10
00
10
11
10
01
11
00
01
11
11
00
11
00
00
01
11
10
00
10
11
10
11
00
00
10
00
00
11
10
10
01
11
11
10
10
00
11
10
00
10
10
00
10
00
01
00
01
11
10
00
10
00
11
10
01
10
11
00
10
00
01
10
10
10
00
10
10
00
00
00
00
10
00
11
11
00
00
11
00
01
10
11
00
01
01
00
10
10
10
00
11
00
01
00
10
11
10
00
10
00
00
10
00
01
10
10
01
11
00
01
01
10
11
00
00
10
11
01
00
10
10
10
10
11
00
01
00
10
10
11
10
10
00
00
00
11
10
01
10
10
00
11
00
01
10
11
00
11
10
01
00
10
10
00
10
10
00
00
10
01
01
11
11
10
00
00
11
10
00
01
10
10
11
10
01
00
00
11
10
11
11
00
00
00
00
10
10
00
11
11
00
01
10
00
00
10
00
10
00
00
00
01
10
00
11
10
00
00
10
11
00
00
10
11
00
00
00
01
00
00
00
10
10
00
10
00
10
11
00
00
01
10
10
10
10
11
00
00
00
10
10
01
10
01
00
10
10
00
00
10
11
00
10
01
10
10
00
01
01
01
10
10
00
10
00
01
10
11
10
01
10
00
10
10
10
00
00
10
00
10
01
00
10
00
01
10
01
01
10
10
11
00
01
11
10
00
01
00
00
01
10
11
00
11
00
00
10
00
10
10
10
00
01
11
00
10
10
01
00
00
11
01
00
00
10
10
10
00
00
01
00
11
01
00
11
10
00
10
00
01
01
00
10
01
00
10
10
10
10
00
10
11
00
10
00
10
10
11
11
00
01
10
11
01
00
10
00
10
01
01
11
10
00
00
01
00
10
11
00
00
10
00
00
11
10
00
11
10
00
01
10
10
01
10
10
01
10
11
00
01
10
10
01
10
00
10
11
01
01
00
10
10
00
00
10
10
00
01
11
00
00
10
01
00
10
01
10
10
10
11
10
01
11
10
00
00
11
11
10
01
10
11
10
00
00
00
10
11
11
00
11
10
00
11
01
00
00
10
10
10
00
10
11
10
10
00
00
01
11
00
10
00
00
10
01
11
00
10
10
10
11
01
00
10
10
10
10
00
00
00
11
00
10
10
00
11
10
10
10
00
10
00
10
10
00
00
01
01
00
00
10
10
11
11
01
00
10
01
01
01
00
10
10
00
10
11
01
00
10
11
10
00
10
00
00
00
10
10
00
01
10
00
10
00
11
00
10
00
11
00
01
10
01
01
00
00
10
10
00
00
10
10
11
01
10
00
00
01
00
01
10
00
00
10
10
10
10
10
00
00
00
00
00
10
10
11
01
10
10
11
01
10
11
00
00
00
00
11
10
11
00
01
10
10
01
00
10
10
11
01
11
00
10
10
01
10
11
01
01
11
00
01
11
01
01
10
10
00
00
10
01
10
10
00
01
11
00
00
00
00
01
10
10
11
10
10
01
00
10
10
10
00
10
10
01
01
11
01
10
00
11
11
01
01
00
11
10
10
00
10
11
01
00
10
10
00
11
10
00
01
10
10
10
01
00
01
10
10
00
00
00
10
00
00
10
10
00
01
00
10
10
10
10
11
10
00
10
10
10
11
01
01
11
10
00
10
11
11
10
00
01
10
10
11
10
01
01
10
00
10
00
00
01
00
00
10
10
01
10
00
00
01
01
11
11
11
10
11
01
01
10
01
00
00
01
11
10
00
01
00
00
11
00
11
00
11
11
00
00
11
01
01
11
10
00
00
00
00
01
10
11
00
11
10
10
11
00
00
00
00
10
01
10
11
10
00
11
01
00
11
10
00
01
10
10
10
10
00
10
01
00
10
01
10
10
00
00
10
01
00
10
10
10
01
00
10
11
01
10
11
00
00
00
11
00
11
10
00
00
01
01
00
11
10
11
01
11
00
00
00
10
11
00
10
10
01
10
10
11
10
10
00
00
00
11
00
10
10
00
11
01
10
11
11
11
11
10
00
00
10
11
00
10
10
01
10
10
00
00
00
11
00
01
10
10
10
11
11
01
00
00
00
10
11
00
10
01
11
00
11
10
00
10
11
11
00
10
10
00
01
10
10
00
00
10
10
10
01
00
11
00
10
10
10
10
00
11
11
10
11
11
10
10
00
00
00
00
10
11
10
00
01
11
10
00
10
00
11
11
00
10
10
00
01
11
00
00
11
10
01
00
01
10
10
01
00
00
10
01
00
00
10
10
00
10
00
00
10
10
11
00
01
01
10
10
10
01
10
00
00
00
10
01
01
11
10
01
00
11
10
00
10
00
00
10
10
00
10
10
10
00
00
10
00
11
00
00
10
01
10
10
00
11
01
00
00
10
10
10
01
01
10
10
10
00
10
01
11
00
00
01
00
00
11
01
00
10
00
11
00
10
10
10
11
00
00
01
10
11
01
00
11
00
01
01
10
10
01
10
00
11
10
10
00
00
10
00
00
10
10
11
10
00
01
00
01
11
00
00
10
00
00
10
10
00
00
10
01
00
00
10
11
01
10
00
10
10
00
00
10
00
00
00
01
00
01
00
11
01
10
10
11
10
10
11
00
00
00
10
11
01
11
10
10
00
00
01
01
00
10
00
01
10
10
11
00
11
10
01
10
10
10
10
00
10
01
00
00
11
01
11
10
01
01
10
00
01
00
11
00
01
10
00
10
00
11
10
00
00
10
10
10
01
11
11
10
00
01
00
10
11
10
01
00
00
00
01
00
11
00
01
10
10
11
01
10
01
11
01
11
10
10
00
01
00
10
10
00
10
10
11
11
00
00
00
01
00
00
10
00
01
00
10
11
10
00
00
01
11
00
00
10
11
11
00
10
10
10
00
01
11
01
00
11
10
00
01
11
01
10
00
00
11
00
00
00
10
00
10
10
10
10
00
00
10
00
00
01
01
11
00
00
10
00
10
10
11
01
00
01
01
10
10
10
01
01
10
10
01
10
10
10
00
10
00
01
10
10
00
10
10
00
10
10
01
00
11
00
00
10
00
11
10
11
01
00
00
10
00
10
10
00
00
10
00
11
11
00
01
00
11
11
00
00
00
00
01
00
11
10
01
01
00
10
10
00
11
00
00
10
10
00
00
10
01
10
01
00
01
11
00
01
00
11
10
00
10
00
10
10
00
00
00
00
10
01
01
01
00
10
00
01
10
00
01
11
01
10
00
10
10
01
10
10
01
11
10
01
00
10
00
00
10
10
01
01
11
10
00
01
10
11
00
01
10
11
11
10
11
01
00
10
11
00
00
10
01
00
10
10
10
10
00
00
10
10
10
10
00
00
01
10
00
00
00
00
10
00
00
10
10
11
10
00
11
10
11
00
10
10
10
10
10
10
10
00
11
11
01
00
00
00
10
01
10
11
00
01
01
10
11
00
01
10
11
10
10
01
00
00
10
01
01
01
00
01
00
10
10
11
11
10
11
01
01
00
11
00
01
10
10
10
00
00
11
10
00
10
11
11
00
10
00
10
01
00
11
00
00
10
10
01
01
10
11
10
00
00
10
10
00
01
10
00
10
10
10
01
00
00
00
00
01
10
01
10
00
00
01
00
00
10
10
01
00
00
00
00
10
11
01
00
00
11
00
01
10
10
10
00
01
00
10
00
10
11
01
10
11
01
01
10
10
00
10
11
01
01
10
00
10
11
00
00
10
11
00
00
01
10
10
10
10
10
10
00
01
10
11
01
00
10
10
10
11
01
00
10
00
00
00
00
10
00
01
10
01
00
10
00
11
00
10
10
00
00
01
11
00
01
10
00
01
00
11
11
11
00
11
11
00
01
10
10
00
00
10
01
00
10
10
10
11
11
10
11
10
11
10
00
01
00
01
10
10
10
10
00
10
00
11
01
11
01
10
11
00
00
01
00
10
10
11
10
10
01
01
00
01
10
01
01
10
10
10
11
00
10
00
00
10
00
01
10
00
00
00
10
01
11
11
00
10
11
11
10
10
01
00
00
01
10
00
00
01
11
01
00
10
11
10
00
11
01
00
10
11
00
00
11
11
11
00
01
10
00
10
10
00
10
11
10
00
01
01
00
00
00
00
10
10
01
11
00
00
10
11
10
01
10
11
01
10
10
01
11
01
00
10
01
10
11
01
00
10
10
11
11
10
01
10
11
01
00
00
10
00
00
00
00
10
10
00
10
10
11
01
00
00
11
10
00
00
01
10
10
01
01
00
11
10
10
10
10
01
01
01
10
11
10
11
00
01
11
10
10
00
11
01
00
11
10
00
10
10
10
10
01
11
10
00
00
00
00
11
10
01
10
00
00
01
01
10
10
11
00
11
00
00
00
00
10
00
10
10
01
10
10
00
00
10
10
11
00
10
00
11
10
00
00
01
01
11
11
00
01
10
00
10
11
11
00
10
00
10
10
10
10
10
11
00
10
00
00
10
00
00
10
10
00
10
00
00
11
10
01
10
00
00
11
10
01
10
11
01
11
10
01
00
01
11
11
10
10
00
10
10
00
01
10
10
01
00
00
10
10
10
10
01
00
10
00
00
00
11
11
11
00
10
00
00
00
11
00
00
11
11
10
10
01
10
00
10
10
00
10
10
10
10
01
11
10
10
00
10
10
00
10
00
01
00
11
11
11
10
10
00
00
10
10
11
00
00
11
10
10
00
00
11
10
11
11
01
10
00
11
01
10
01
00
10
00
00
10
10
10
11
01
01
10
00
10
00
10
10
01
10
10
00
10
00
11
11
00
00
11
01
01
10
10
00
01
10
10
10
01
11
00
10
00
00
11
11
00
01
10
00
10
00
10
11
10
10
00
00
10
11
11
01
11
00
10
11
11
00
10
01
01
10
11
10
00
11
11
11
01
00
00
00
10
10
11
00
00
11
10
10
01
00
00
11
01
11
10
00
10
00
10
10
00
11
10
10
00
00
00
00
11
11
01
00
00
01
01
11
01
10
11
00
10
01
01
10
10
00
01
01
01
10
00
10
00
00
10
10
00
00
11
00
10
01
01
00
10
11
00
00
10
11
11
10
01
00
01
00
10
00
11
00
01
11
10
10
11
10
00
00
10
11
01
00
01
11
10
00
10
00
10
10
00
10
11
00
00
10
10
11
10
00
00
11
11
00
10
10
10
00
11
00
11
00
00
00
00
10
00
01
10
00
10
00
10
00
01
10
01
00
00
10
10
10
00
01
10
01
00
00
10
00
10
01
00
10
01
10
11
11
00
00
01
10
00
00
00
10
11
01
10
11
01
11
10
00
01
10
00
01
10
11
10
11
00
11
11
00
10
01
00
10
10
00
10
10
01
01
00
11
10
10
10
11
00
10
01
00
00
00
01
11
11
00
11
00
10
00
10
00
01
00
11
10
00
00
10
10
00
00
11
10
00
10
01
00
00
00
00
10
10
10
10
01
10
00
00
00
11
10
10
11
11
00
11
01
10
01
01
10
00
11
11
10
01
00
00
10
10
10
00
01
10
01
10
00
10
10
11
01
10
10
00
10
11
10
01
00
00
10
10
00
00
00
11
11
01
00
01
10
00
10
10
11
01
01
01
01
01
00
11
11
10
00
01
10
11
11
00
00
11
10
00
10
00
01
00
10
11
00
00
10
00
10
00
11
00
00
00
10
00
01
10
11
10
01
11
10
00
00
01
10
11
00
00
11
11
01
01
00
11
00
11
01
10
10
00
00
10
10
00
01
10
11
10
00
00
10
01
00
00
11
00
01
01
00
11
00
00
00
11
10
00
10
11
01
00
00
10
10
00
00
00
11
00
00
10
10
10
01
10
00
11
00
10
10
11
10
11
00
00
11
01
10
10
01
01
00
10
00
00
11
10
10
10
00
10
10
10
01
00
00
01
11
00
10
10
01
00
10
00
11
10
11
00
10
10
00
00
10
10
00
10
10
01
10
00
10
11
10
10
00
00
00
10
00
00
00
10
10
01
10
10
10
01
11
00
00
10
10
00
00
01
10
00
00
10
00
01
00
11
01
11
10
01
10
01
00
11
11
00
00
10
10
10
00
01
01
11
10
00
00
01
10
11
11
00
01
10
11
10
11
01
00
00
10
10
00
10
00
10
10
10
10
01
11
10
01
01
00
11
11
01
00
00
10
10
11
11
01
01
10
00
11
10
01
00
11
10
10
00
11
11
11
01
00
00
00
00
00
10
00
10
10
01
10
11
10
11
01
11
00
00
00
10
10
00
00
11
11
00
00
01
10
00
10
11
10
00
10
10
10
11
01
01
01
10
11
10
01
10
01
00
11
00
11
10
01
10
11
10
00
00
01
11
10
00
00
00
10
10
10
10
01
01
10
11
10
00
10
00
00
00
11
10
10
01
10
00
10
01
00
01
10
10
10
11
01
00
01
11
01
10
00
00
01
00
00
00
10
00
00
00
10
00
00
10
10
01
11
00
10
00
10
00
00
00
10
00
01
00
01
10
11
01
00
11
10
10
00
10
10
11
01
00
00
00
11
10
00
11
00
10
11
00
00
01
10
00
10
11
10
10
01
10
10
01
10
10
01
00
01
00
01
00
00
01
10
10
00
00
11
01
11
00
10
00
00
00
00
00
00
11
00
00
10
10
10
00
00
00
10
11
10
00
00
00
11
10
00
10
00
00
10
10
11
10
00
10
11
00
00
10
00
11
10
01
01
10
11
11
11
00
10
00
00
11
01
10
11
01
01
00
00
10
01
00
11
00
01
10
00
00
10
00
01
11
10
01
11
10
01
11
10
01
00
01
00
10
11
01
00
10
10
01
00
01
10
00
10
10
10
00
10
10
00
00
11
01
00
10
11
01
01
10
10
10
00
10
00
10
10
00
11
00
11
10
10
10
10
10
00
10
10
10
10
10
01
00
00
01
00
00
00
00
11
10
10
11
10
10
01
00
00
01
10
10
10
10
11
10
01
11
01
01
11
00
10
00
01
10
01
00
10
00
10
10
01
10
10
00
01
00
00
10
11
00
01
00
00
10
11
00
00
10
11
00
11
01
10
00
00
11
00
10
10
01
00
01
10
10
00
00
00
11
10
00
10
10
00
10
10
10
01
00
11
11
00
01
11
10
00
10
10
01
00
00
10
00
00
10
00
11
11
11
00
10
10
00
01
00
10
00
10
00
10
10
00
00
00
00
00
00
10
00
10
10
00
11
00
10
10
00
11
01
11
11
10
11
10
00
01
00
10
10
11
00
10
01
00
11
01
00
01
00
01
00
10
10
00
11
11
10
01
00
10
01
11
01
10
10
01
01
00
01
10
11
10
01
00
11
10
00
10
00
10
00
01
10
11
00
10
00
00
10
01
01
10
11
10
10
10
11
00
11
10
01
00
10
01
00
10
10
11
10
00
00
01
11
10
10
10
10
10
11
00
11
10
01
00
10
10
00
01
11
10
00
10
00
10
11
11
00
01
00
10
00
01
10
11
10
00
00
01
10
10
10
01
01
10
11
01
01
10
00
10
10
00
00
10
10
00
01
00
00
10
01
00
10
01
10
00
01
10
10
00
00
10
11
10
00
01
00
01
01
00
10
11
10
01
11
10
00
11
00
10
11
00
00
00
10
10
00
01
00
10
10
10
11
10
10
00
11
10
10
01
10
11
01
01
00
11
00
10
00
01
10
01
00
10
00
01
10
00
01
10
11
11
10
00
01
11
10
11
00
00
10
00
00
10
10
01
10
00
00
10
00
11
10
01
10
11
11
01
10
11
00
00
00
00
10
10
01
11
01
00
11
10
11
01
11
10
01
00
10
00
00
10
00
00
01
11
00
01
00
01
00
00
11
00
00
10
10
01
00
11
11
10
00
10
00
10
10
00
01
00
10
00
10
01
01
10
10
10
10
00
01
10
10
00
01
00
00
00
11
10
10
10
11
00
10
01
01
00
10
11
01
10
00
00
00
00
10
01
11
00
10
00
00
10
00
10
00
01
00
11
00
10
01
11
00
01
01
10
10
10
10
10
11
01
01
00
10
11
00
11
00
11
10
00
11
10
00
01
10
00
00
10
10
11
10
10
00
01
10
01
10
00
00
11
00
10
10
00
11
11
00
11
00
00
01
10
10
00
01
11
11
10
00
01
11
00
00
00
10
10
10
00
00
00
01
10
10
10
00
11
11
10
11
00
10
00
10
10
00
00
11
00
00
11
00
00
10
10
00
00
11
01
10
10
00
01
10
00
00
01
00
11
00
10
00
00
10
01
11
10
10
00
11
10
10
01
00
10
10
00
00
10
11
01
11
11
00
10
11
00
01
00
10
11
11
11
00
00
10
10
00
01
00
10
01
00
11
10
00
10
00
00
10
00
00
00
11
10
10
00
00
10
00
00
10
00
01
11
01
00
00
10
10
10
01
10
10
01
00
10
01
00
10
10
00
00
11
00
00
11
10
10
00
10
10
00
10
01
10
00
10
11
11
10
00
00
00
11
00
01
00
10
01
10
00
10
00
00
10
11
10
11
10
01
01
00
10
11
00
01
10
00
01
00
11
10
10
00
10
11
11
10
01
11
01
00
11
10
11
00
11
00
01
10
11
10
11
00
00
10
00
00
10
11
00
01
01
00
11
01
10
10
10
00
01
01
00
10
10
01
10
00
10
10
10
10
00
11
00
00
10
00
10
01
10
10
00
00
10
11
00
00
01
00
11
11
11
01
00
10
00
00
11
10
01
10
01
01
11
00
00
00
10
10
00
10
11
10
00
10
00
00
10
11
11
01
01
01
10
00
10
11
00
00
10
10
00
11
00
00
11
00
00
10
10
00
00
11
10
10
10
00
00
00
10
10
00
00
11
00
00
10
01
01
10
00
11
11
10
10
00
00
11
00
10
11
10
10
00
10
00
10
10
00
11
10
01
10
10
10
11
10
01
01
10
11
00
10
10
00
00
10
11
01
01
11
10
11
10
00
00
00
10
11
00
01
11
00
10
10
00
10
01
10
11
00
00
00
00
01
10
00
00
00
10
00
11
01
01
00
00
00
01
10
10
11
00
10
10
00
10
00
01
10
11
10
11
01
01
11
01
10
10
00
00
00
11
10
01
11
10
10
10
01
00
10
10
01
10
10
00
11
01
01
01
01
00
10
10
00
11
11
10
00
01
10
00
10
10
01
00
00
01
10
00
11
00
10
11
00
11
10
00
00
11
00
00
01
00
10
00
00
10
00
00
10
10
00
00
11
11
10
10
00
10
10
10
10
01
00
10
00
10
11
00
11
11
10
01
00
11
10
11
00
01
10
00
01
10
01
00
10
10
01
00
11
01
00
11
00
11
00
00
11
00
10
10
00
00
00
10
10
01
00
00
10
10
00
11
11
01
11
00
11
00
01
01
00
10
11
10
11
01
01
11
01
01
10
10
11
11
10
01
01
10
11
00
00
01
10
10
10
00
00
00
00
10
10
00
10
11
00
00
00
00
01
10
01
01
10
10
00
10
10
10
00
00
10
10
10
10
11
00
00
00
10
00
00
10
10
00
01
01
00
10
10
10
10
00
00
11
10
10
00
01
10
10
00
00
10
10
10
10
11
00
10
11
01
00
00
00
00
11
00
01
10
10
11
10
10
01
10
10
10
00
00
00
10
10
11
11
10
01
10
10
10
01
10
01
00
11
00
10
10
00
10
11
00
11
11
00
10
10
10
00
00
00
10
10
10
00
00
01
10
00
00
10
00
01
11
01
10
10
10
01
11
00
01
10
00
00
10
10
00
00
10
10
01
01
00
01
10
10
00
00
00
00
10
10
11
10
00
10
10
00
01
00
10
10
10
00
10
10
00
10
01
10
00
00
11
11
01
00
11
01
00
00
10
00
01
10
11
10
00
01
00
10
01
11
11
10
00
00
01
10
00
00
10
11
10
00
00
11
00
11
01
11
11
01
10
10
11
00
01
10
00
10
10
00
01
00
10
10
10
00
10
01
00
00
00
10
10
00
01
00
10
00
10
00
10
00
00
10
10
10
00
11
10
10
10
10
10
11
01
00
00
10
00
00
10
11
10
00
01
10
10
00
11
11
01
00
11
11
00
01
10
00
01
10
11
11
00
00
10
01
00
00
11
01
00
11
10
00
10
10
00
10
10
01
11
00
00
01
00
10
00
10
10
10
10
01
00
00
11
11
10
10
00
01
10
10
10
10
01
00
10
10
10
10
00
11
00
11
10
01
00
00
10
11
10
11
01
00
10
00
01
00
00
10
00
01
11
01
10
00
00
00
00
10
00
00
00
11
11
00
00
00
11
00
11
00
10
11
11
00
01
01
00
10
00
10
11
01
10
10
11
01
00
10
10
01
01
10
10
00
01
11
10
01
11
00
00
00
10
10
00
00
01
11
01
10
10
10
00
00
10
00
00
00
00
00
10
00
11
10
10
10
01
00
01
10
10
00
00
11
00
01
10
00
00
10
00
01
00
11
10
10
01
01
01
11
01
00
11
11
00
01
10
10
00
00
10
11
00
00
11
10
00
00
10
01
10
10
00
00
10
10
00
00
10
10
00
10
10
10
00
01
11
11
10
00
10
10
10
11
00
00
10
00
01
11
11
10
11
00
00
00
10
10
01
00
10
01
00
00
10
10
01
01
10
10
00
00
10
10
00
10
00
00
00
00
11
01
11
00
01
11
10
00
01
00
11
11
00
11
11
10
00
10
00
01
00
11
10
11
01
10
10
11
01
01
01
00
11
10
01
00
11
10
10
11
00
00
00
01
10
10
01
00
00
01
00
00
00
11
10
11
01
10
10
11
10
01
00
10
00
10
00
10
10
01
10
10
01
00
00
11
00
10
01
01
00
10
10
00
01
00
11
01
10
11
11
11
01
10
10
00
00
11
10
00
00
11
10
01
11
11
01
10
11
00
00
00
11
10
01
00
00
00
10
11
01
00
00
00
11
00
11
01
00
10
00
11
00
00
10
10
10
11
10
00
01
10
11
00
00
01
11
11
00
01
00
00
11
00
10
10
10
01
01
10
01
10
00
00
11
10
10
00
10
11
00
00
11
11
00
00
00
01
00
01
10
10
11
10
00
00
01
11
01
11
10
10
00
00
00
10
10
01
10
00
10
01
00
01
10
10
11
11
01
01
01
11
10
01
10
10
10
01
00
00
10
00
00
11
00
10
11
00
10
10
10
10
00
01
10
00
00
00
10
10
00
11
00
00
01
00
00
00
11
00
10
10
00
00
00
11
11
00
00
11
10
00
10
11
00
00
01
11
11
10
10
00
01
11
10
10
00
00
10
10
00
10
10
11
00
00
10
11
11
00
11
10
01
00
01
10
11
00
00
11
01
10
10
10
00
00
10
00
10
10
00
00
10
11
00
00
01
10
00
01
10
01
01
00
00
01
10
10
11
10
01
00
11
00
10
00
01
00
00
10
10
01
01
10
01
10
10
00
00
10
10
10
10
01
00
00
00
00
01
01
01
10
01
11
01
10
10
10
00
00
11
01
00
01
11
00
01
00
00
00
11
10
01
00
10
00
00
00
00
10
10
11
00
00
00
00
10
10
01
00
11
00
11
00
00
10
11
11
00
10
10
10
00
10
10
10
01
10
10
00
01
00
00
11
11
10
10
00
00
11
00
10
00
00
11
10
10
00
01
10
01
11
10
00
00
10
00
10
01
00
10
01
01
00
01
10
10
10
01
11
00
00
00
00
00
01
11
11
10
01
00
00
10
11
00
10
10
11
00
00
01
01
10
10
00
00
00
00
10
11
10
11
10
01
00
10
11
11
00
00
00
01
11
10
10
10
00
10
10
00
00
00
01
10
11
00
10
00
00
00
00
00
10
00
10
00
10
00
01
11
01
00
11
11
01
00
00
11
00
10
11
01
10
11
11
00
00
01
00
10
11
11
11
10
00
10
00
10
10
01
00
10
10
00
01
01
00
10
01
01
10
10
01
11
00
00
11
11
10
10
00
00
00
00
10
11
10
10
00
10
10
00
01
10
10
10
01
00
11
11
00
01
00
11
10
11
11
11
00
00
01
10
01
00
11
00
00
00
10
10
01
10
10
11
00
10
10
11
00
00
11
10
00
00
00
10
00
10
10
11
11
10
00
00
01
10
00
11
11
00
10
00
00
11
10
11
10
10
00
10
00
10
01
00
10
00
11
00
10
11
11
01
00
00
00
10
01
10
00
11
00
00
10
01
10
00
10
00
00
11
10
10
10
01
10
01
11
11
10
00
00
01
01
11
10
00
00
11
00
11
10
00
01
11
00
10
00
00
10
10
11
10
11
00
11
10
10
00
00
10
11
11
01
01
00
10
00
00
11
10
01
00
10
10
11
00
10
10
00
00
10
10
10
01
10
10
00
01
01
01
11
01
00
10
10
00
10
11
01
00
10
00
00
00
10
10
01
00
10
10
01
10
01
11
01
01
10
00
10
10
10
10
00
01
11
10
10
00
10
00
11
10
01
10
11
11
11
01
00
00
11
01
10
10
00
00
10
10
00
10
00
11
00
00
11
10
10
01
11
00
00
01
11
11
00
10
11
00
10
00
01
00
01
00
01
10
10
10
10
00
00
11
01
10
11
00
01
00
11
10
01
01
10
11
10
11
01
11
10
00
00
10
00
01
11
10
10
10
10
11
00
01
00
11
10
01
00
10
00
10
11
01
11
10
10
10
10
00
10
00
00
11
00
01
11
00
00
10
10
01
11
10
00
10
00
10
00
00
10
10
10
00
00
10
00
11
10
11
01
10
10
00
10
00
10
10
00
00
00
10
11
01
00
11
00
11
11
01
10
00
01
11
00
00
10
11
01
10
11
10
00
00
10
10
00
10
00
10
11
00
11
11
10
00
10
01
01
10
10
10
01
00
00
10
10
01
00
00
00
00
11
00
10
11
01
10
10
00
01
01
11
01
11
10
10
11
00
00
10
11
01
00
11
00
11
11
01
10
11
11
00
00
10
10
00
01
01
00
10
10
01
10
00
00
10
10
00
00
11
10
01
00
11
00
01
10
00
10
10
11
00
10
11
00
00
10
01
11
10
01
01
01
10
10
00
00
11
10
01
01
00
10
10
10
11
10
01
00
10
01
00
00
01
11
10
10
10
11
11
00
01
00
01
00
10
00
11
10
00
10
10
00
01
10
00
10
10
00
11
00
00
10
00
00
10
00
00
10
00
00
01
00
11
10
10
00
00
00
00
01
00
01
00
10
01
10
00
10
00
01
00
10
10
10
10
10
10
00
10
10
11
00
00
10
11
00
10
00
10
10
11
11
01
00
00
00
11
01
00
10
10
00
11
11
00
11
00
10
00
10
01
01
01
01
01
11
10
10
00
11
10
00
11
10
01
11
10
01
00
01
10
00
00
10
10
00
00
11
11
10
11
00
00
10
00
00
00
10
11
01
00
11
00
10
11
10
00
10
10
11
00
00
00
00
10
00
10
11
11
01
00
10
00
10
11
10
00
00
00
10
11
00
00
10
11
10
11
01
10
10
01
11
01
01
10
10
10
00
11
00
00
10
10
00
00
00
01
00
00
11
00
00
00
10
10
10
10
01
01
11
10
00
00
11
00
00
10
10
00
01
10
01
11
10
01
11
11
10
10
01
00
00
10
11
10
00
10
00
10
11
00
00
10
01
00
00
10
01
00
00
10
10
10
10
10
00
11
11
10
10
10
10
00
01
10
00
01
10
10
00
11
00
11
11
11
11
01
11
00
10
11
11
10
00
01
00
11
10
00
01
10
00
01
00
10
00
01
00
00
10
10
00
10
10
01
00
10
00
01
00
11
10
00
11
10
10
11
00
00
00
10
00
01
10
10
10
11
10
10
11
00
00
11
10
00
11
10
00
10
11
11
01
00
01
10
01
11
00
00
11
10
00
00
10
11
01
11
10
11
00
11
10
00
00
00
10
11
10
00
11
10
11
10
01
10
00
11
10
00
00
01
00
10
00
00
10
10
00
11
10
10
11
10
10
01
00
11
10
00
00
10
00
10
00
11
10
00
10
11
01
00
00
10
11
10
01
00
00
10
10
10
00
00
11
10
10
01
10
00
00
01
00
11
10
10
10
01
00
01
00
10
10
01
01
11
10
01
11
00
11
10
10
00
00
10
01
00
10
00
00
01
11
10
00
00
00
01
10
11
11
00
00
00
11
10
10
10
10
00
10
10
01
00
11
10
00
10
00
10
11
10
01
00
01
01
10
11
10
11
00
11
11
00
10
11
01
00
00
11
00
01
11
10
00
00
11
00
10
00
10
11
10
11
10
00
01
11
11
01
01
11
00
01
11
01
11
01
01
11
01
00
10
11
00
10
01
00
11
01
00
10
00
10
00
01
01
10
11
01
10
00
11
10
10
11
01
10
00
00
00
10
11
10
10
00
00
00
01
00
01
11
10
11
00
00
10
10
00
10
00
00
00
11
10
10
00
11
10
00
10
10
01
10
10
11
10
01
10
01
10
00
10
10
10
01
01
10
00
11
01
00
10
11
10
00
00
01
10
10
00
00
10
10
01
01
10
10
10
10
10
10
01
01
00
00
01
00
10
10
10
00
00
10
01
00
10
11
00
10
01
00
11
00
10
01
00
10
11
11
01
10
11
00
01
10
00
10
10
00
00
01
10
11
11
00
10
10
00
10
10
11
00
01
11
00
01
00
10
11
00
01
00
10
00
11
10
11
10
01
01
10
01
10
11
00
11
01
10
10
00
00
00
01
11
11
00
00
00
11
01
00
10
01
11
00
00
10
10
11
10
01
01
01
01
00
11
10
00
00
00
01
10
00
10
00
01
00
00
10
10
10
11
00
00
10
11
10
00
01
10
10
00
10
11
01
11
11
00
10
10
01
00
01
00
10
00
01
01
11
00
10
10
00
11
01
01
10
00
10
10
00
00
11
10
10
00
10
00
00
11
11
10
00
00
01
10
11
00
00
11
10
00
10
10
00
11
10
00
11
10
00
00
10
10
00
01
10
00
01
00
10
00
01
01
10
00
10
01
00
10
00
01
11
10
00
10
10
00
10
01
00
11
00
11
11
10
10
10
10
01
00
10
10
11
10
00
10
10
11
01
10
10
11
00
00
00
00
11
10
01
10
10
00
11
00
01
01
10
00
10
10
10
00
00
11
01
00
10
10
00
10
10
01
00
11
11
10
10
11
00
10
10
01
00
00
00
10
11
00
00
00
10
10
00
10
01
00
00
00
00
10
00
11
00
11
10
01
11
01
00
11
01
00
00
10
10
01
00
11
10
00
10
00
01
00
00
10
00
11
11
10
01
00
10
01
11
10
10
00
00
11
01
00
10
00
01
10
00
01
10
11
00
10
00
00
01
10
10
00
11
10
01
11
00
10
10
01
10
00
01
00
10
10
10
11
00
00
01
00
11
00
00
11
01
00
00
10
10
10
01
11
10
00
00
01
00
10
10
01
10
10
10
10
01
00
10
10
00
00
01
10
00
00
10
11
10
10
00
00
11
10
10
10
01
01
10
10
00
10
10
01
11
10
11
00
00
11
00
10
00
10
01
01
10
10
10
01
10
10
01
00
10
11
10
10
00
00
10
10
10
10
10
00
10
10
10
11
11
10
00
01
10
00
11
10
01
11
10
10
00
00
11
10
01
10
01
00
11
00
10
00
00
10
10
00
00
10
01
01
00
10
11
10
10
01
01
00
00
10
11
01
00
00
00
10
00
00
00
10
00
01
10
01
00
11
00
01
10
11
10
01
00
11
01
10
10
00
10
10
00
00
11
11
00
11
10
00
11
11
00
00
10
10
01
10
00
00
00
10
11
01
01
00
10
10
00
10
01
11
10
10
10
01
10
00
11
00
01
10
10
10
10
00
10
11
01
10
10
00
00
11
10
00
11
11
01
00
10
10
10
00
01
01
10
01
10
11
01
00
00
00
01
11
10
00
01
11
01
00
11
10
11
00
01
00
10
00
00
00
11
00
11
00
00
00
01
10
01
10
10
00
00
10
10
10
00
01
10
00
11
10
10
10
10
11
01
10
10
01
00
00
00
10
00
00
10
00
10
11
10
01
10
10
11
11
10
10
01
00
11
00
01
11
10
00
00
10
10
10
00
11
00
00
00
01
11
10
00
10
01
00
11
00
10
00
10
00
01
11
11
10
10
11
01
11
00
00
00
01
11
11
01
00
11
00
00
01
10
01
00
11
01
10
11
11
01
00
11
10
00
00
10
11
00
10
10
01
01
01
00
10
01
00
10
11
00
11
10
10
01
00
00
10
11
01
10
00
00
10
10
00
10
10
00
00
10
10
01
00
01
11
10
10
11
10
10
11
00
01
10
00
00
10
10
10
11
00
00
00
01
10
00
10
11
00
00
10
00
00
00
10
10
00
11
10
00
00
10
11
10
11
11
00
00
10
10
10
00
01
10
11
10
00
00
10
10
00
00
10
00
00
10
10
10
11
10
00
11
10
11
00
01
01
10
10
10
10
00
11
00
00
00
10
10
11
10
01
10
01
11
10
00
10
10
00
11
00
10
10
01
10
01
00
01
00
10
01
10
11
00
00
10
01
00
00
11
11
10
00
11
10
01
01
10
01
11
10
00
00
10
11
10
00
10
10
00
00
01
11
00
01
10
00
00
10
10
00
10
00
00
10
10
00
10
10
00
10
10
00
10
10
00
11
01
00
01
01
01
01
01
10
11
10
01
10
01
00
10
10
00
10
10
10
10
11
00
00
00
11
00
10
00
00
10
11
00
00
11
00
10
00
11
10
00
00
00
01
11
01
10
01
11
01
00
11
10
00
10
11
00
10
00
10
10
10
00
00
10
01
00
00
00
10
01
10
10
10
00
01
10
00
10
00
10
10
10
10
11
01
00
01
10
10
00
00
00
11
11
11
01
01
10
00
01
00
00
00
00
10
10
11
00
11
11
11
11
00
11
10
01
00
01
10
10
01
10
00
01
10
10
00
10
10
11
00
01
10
11
11
10
10
00
10
11
10
10
00
01
00
10
00
01
11
00
10
01
10
11
00
10
00
00
01
10
00
10
10
00
00
10
10
00
00
10
00
01
00
10
00
11
10
10
00
00
11
10
01
10
10
01
10
10
00
00
10
10
00
10
00
00
10
10
10
00
01
00
00
10
11
00
00
11
11
10
11
11
00
10
01
11
00
00
11
01
01
00
00
01
00
10
00
10
10
00
10
10
10
00
01
10
00
10
11
00
00
01
10
10
11
01
01
10
00
00
00
00
00
00
10
00
01
00
10
10
10
00
10
00
10
10
11
00
10
00
01
11
11
00
01
10
10
00
01
10
10
00
01
10
10
00
01
00
01
00
10
10
10
00
00
11
01
01
01
11
00
01
01
01
00
10
10
10
00
10
11
10
00
10
01
11
10
01
00
10
10
01
10
01
11
10
10
00
01
00
00
11
11
00
10
00
00
00
00
00
10
11
11
10
11
10
10
01
00
00
00
10
10
00
00
01
00
01
10
00
10
11
10
10
00
00
01
10
10
10
00
00
01
01
01
00
10
10
11
10
10
10
00
01
11
10
10
00
01
10
10
10
01
00
00
00
10
10
00
01
11
01
10
00
11
11
10
01
01
10
01
10
00
00
11
10
11
11
11
11
01
00
10
10
01
00
10
11
01
00
00
10
01
10
10
00
10
10
01
11
10
10
00
01
11
11
01
01
11
00
11
10
10
10
00
01
10
10
01
11
01
00
11
11
10
00
01
10
10
01
00
10
10
00
10
01
11
10
11
10
01
10
01
01
00
00
11
10
00
11
11
00
01
10
11
10
00
00
00
01
11
10
01
11
10
01
11
01
00
10
11
01
10
00
00
10
00
10
00
11
00
00
11
00
00
11
10
00
01
00
00
00
00
10
10
00
01
00
01
10
00
00
01
00
11
11
01
00
00
01
00
00
00
10
00
10
10
00
11
10
00
00
01
10
10
00
01
11
01
11
11
10
11
11
01
00
11
11
00
00
01
10
10
10
10
00
01
00
10
00
00
10
00
10
11
11
01
10
01
01
11
01
01
10
10
00
01
00
00
10
10
11
00
01
01
01
00
10
00
10
11
01
01
10
10
00
01
10
11
00
00
10
10
10
01
01
11
01
00
10
01
01
01
00
10
00
11
11
00
10
10
00
10
11
10
00
11
11
10
00
10
00
01
00
10
10
11
00
11
10
11
11
10
11
00
11
00
11
10
11
00
00
10
10
10
10
11
01
01
01
10
00
01
00
10
11
01
01
10
10
10
01
00
10
10
00
00
00
10
10
01
00
00
00
10
10
00
10
10
00
00
10
11
00
01
00
10
01
11
00
10
10
00
00
01
00
10
10
10
11
00
01
10
10
11
00
10
11
01
11
00
11
01
10
01
10
01
00
11
00
10
10
01
00
11
00
10
10
00
10
10
01
00
11
00
00
11
10
00
01
10
10
10
10
10
00
00
00
01
00
11
01
00
10
10
10
10
01
11
00
00
10
11
00
00
10
00
01
11
11
10
11
11
00
10
01
11
10
00
00
00
01
10
10
00
10
00
00
11
11
00
00
01
10
10
10
01
10
11
10
01
00
10
00
00
01
11
00
00
00
11
10
11
00
11
10
00
01
01
11
10
10
01
11
10
10
10
01
11
00
10
01
10
10
01
00
10
11
00
00
11
10
10
10
11
00
01
11
11
10
00
00
00
10
11
00
00
10
10
10
01
10
00
01
10
00
00
01
11
01
11
10
00
10
01
11
01
00
10
00
11
11
00
00
11
00
10
11
00
10
11
10
00
10
10
01
10
10
01
10
00
00
01
10
10
11
01
10
10
11
00
10
10
01
10
11
01
01
10
00
10
11
00
00
01
10
00
00
10
10
01
11
11
01
11
11
11
10
10
01
00
11
00
00
11
10
01
00
10
00
10
00
01
10
10
10
10
10
10
00
00
01
10
11
11
00
10
00
11
10
10
00
00
10
10
01
10
10
10
00
00
01
00
00
10
01
11
11
11
01
00
10
10
11
01
01
10
10
00
11
10
00
10
00
00
10
00
10
00
00
10
01
10
10
00
11
00
11
10
01
10
11
00
10
00
00
00
10
01
00
10
00
00
10
10
01
01
00
01
00
00
11
10
10
01
01
10
10
01
00
00
00
10
11
00
11
10
10
00
00
01
11
10
00
10
01
00
00
00
11
10
00
01
00
11
10
10
00
00
00
00
00
10
10
00
01
11
10
00
11
10
00
00
01
10
01
10
11
00
10
01
01
10
10
01
00
01
11
11
10
00
01
00
00
00
10
10
11
00
00
10
11
01
01
00
10
11
10
11
01
00
00
00
10
10
10
01
10
11
00
01
10
00
11
00
10
11
01
11
00
10
00
01
01
01
11
11
10
00
10
10
10
00
00
10
10
00
00
01
11
01
10
00
00
10
00
01
00
01
11
10
10
10
10
11
00
10
00
11
10
00
00
00
11
10
11
11
10
00
00
11
10
00
00
01
10
10
00
00
10
00
01
01
10
00
00
10
00
00
10
10
10
00
00
10
11
10
01
01
10
11
10
01
00
11
10
10
10
00
10
10
10
00
01
10
01
00
10
00
10
11
01
11
10
10
11
01
11
11
00
01
00
10
11
00
00
10
00
00
00
10
11
10
00
01
00
00
11
01
01
10
10
10
01
00
01
00
11
01
10
10
00
01
01
10
10
00
10
10
10
10
01
10
00
11
10
00
00
00
10
00
11
00
01
10
00
10
10
11
00
00
10
10
01
01
00
11
00
01
11
00
11
11
00
00
10
11
10
00
00
10
00
00
00
01
10
10
00
11
00
11
10
01
11
10
00
00
10
10
10
01
00
00
11
00
00
01
10
00
00
10
01
00
10
10
10
00
10
11
11
10
00
11
10
01
00
10
10
11
10
00
01
10
01
00
10
10
10
01
01
10
01
00
11
00
00
10
10
10
10
00
00
00
10
10
00
10
10
10
01
10
11
10
01
00
00
00
10
11
01
00
10
11
00
01
00
01
01
01
00
10
01
01
00
11
10
00
00
10
10
10
01
00
00
00
01
01
10
00
01
11
11
01
10
11
00
10
10
10
00
01
11
01
10
00
01
00
00
10
00
10
00
01
10
10
01
00
00
10
00
10
10
10
11
00
10
10
10
00
00
10
01
01
10
00
11
10
00
01
10
11
10
10
10
00
00
10
10
00
00
00
10
00
00
10
11
00
00
10
00
11
10
01
01
01
01
10
00
00
00
10
10
10
01
10
11
01
11
11
11
10
01
00
10
10
00
00
00
10
11
11
00
10
00
00
01
00
11
00
01
10
10
00
10
10
01
00
10
00
01
00
01
10
10
01
00
10
10
11
01
00
00
10
00
10
10
01
10
11
00
10
11
01
10
11
01
01
11
10
00
00
00
10
10
00
00
01
10
10
00
11
01
10
10
01
10
10
11
00
01
01
11
11
11
10
01
00
10
00
00
10
11
00
00
00
11
00
10
00
00
01
10
11
10
00
10
01
10
10
00
00
10
01
00
11
00
00
10
10
10
10
00
00
00
10
00
01
01
00
01
00
00
00
11
11
01
10
00
00
01
10
10
11
00
01
01
10
11
00
00
00
10
01
00
10
11
10
10
01
11
10
11
00
00
11
10
11
00
00
11
11
01
01
01
11
00
01
10
10
10
10
00
00
00
10
01
01
00
11
00
10
11
10
00
01
11
01
10
11
10
10
00
01
10
01
00
00
00
00
10
11
11
11
00
10
10
10
00
11
10
00
01
00
01
10
10
11
00
10
11
10
01
10
10
00
10
11
00
10
10
10
00
00
01
00
10
01
10
00
00
01
01
10
01
01
00
10
01
01
10
01
00
10
10
00
10
10
01
00
00
00
00
00
10
00
00
10
00
10
10
00
00
00
00
00
00
10
00
00
00
10
00
10
11
11
00
11
00
00
00
01
10
11
00
01
10
00
11
00
10
11
00
01
10
01
00
00
01
00
00
10
10
10
00
10
10
11
10
01
00
10
00
00
10
11
11
00
11
00
10
10
00
10
10
00
01
00
00
00
10
11
10
00
10
10
10
10
11
10
00
00
10
11
01
00
11
11
10
00
10
10
10
00
00
00
10
00
00
11
01
00
00
01
10
01
11
11
01
01
11
11
00
00
10
10
00
01
10
10
00
11
10
01
01
10
00
01
00
01
00
10
10
10
10
01
10
11
00
11
00
10
10
01
00
01
10
10
11
00
11
00
10
10
01
00
10
11
10
10
00
00
01
10
10
01
10
01
11
10
10
11
01
11
00
00
11
11
10
00
01
10
10
00
00
10
01
00
10
11
00
01
10
00
10
10
10
00
00
00
00
00
11
10
10
00
10
10
00
01
11
00
11
01
01
00
00
01
10
00
00
00
01
11
00
10
10
00
10
01
10
10
00
01
10
01
10
01
00
10
10
00
00
10
00
00
01
00
10
01
11
10
00
00
01
00
10
10
10
10
01
01
00
10
01
00
00
11
11
00
10
10
00
10
10
00
10
10
10
00
00
10
00
00
00
10
11
00
01
10
11
11
01
10
01
00
10
10
10
00
00
10
11
10
00
00
00
11
11
01
00
00
11
10
10
10
10
00
10
00
00
11
00
00
00
11
01
11
10
11
11
01
00
01
10
10
01
01
10
11
00
01
10
00
10
00
01
10
01
11
01
10
00
10
10
01
00
00
10
01
10
10
10
10
00
00
01
10
00
10
10
00
01
11
11
00
00
10
10
00
00
00
10
10
01
11
10
10
01
10
10
10
01
00
10
10
00
11
10
11
00
10
11
10
00
11
00
01
00
10
10
01
01
10
10
11
00
00
11
00
10
10
01
01
11
10
10
10
00
10
11
01
10
10
00
10
00
01
01
11
00
11
11
01
10
01
00
00
10
11
00
00
00
11
11
00
11
01
00
00
00
11
00
10
00
01
10
10
10
00
10
10
00
10
01
11
10
10
10
01
10
00
10
01
11
00
10
10
10
10
00
01
00
00
00
11
11
00
11
11
01
01
11
00
01
00
10
00
00
00
11
10
00
10
00
00
10
10
00
10
10
00
01
01
10
10
10
01
00
10
00
11
10
01
00
10
01
00
11
01
00
00
11
10
10
01
00
10
11
11
10
01
00
10
00
00
11
10
01
00
11
10
10
00
00
11
10
11
00
11
10
00
11
00
10
10
11
11
10
00
00
01
11
10
01
10
00
00
00
00
10
01
00
00
10
10
10
00
00
11
00
00
01
10
10
00
11
10
00
00
00
10
10
11
01
00
11
10
11
01
10
10
00
11
10
11
00
11
00
11
10
01
11
01
11
10
01
11
01
01
00
10
00
00
10
10
10
00
11
00
11
10
10
10
10
10
11
00
01
00
01
10
00
00
00
10
10
10
01
11
00
00
10
10
10
00
10
01
00
00
00
01
00
00
11
00
00
10
10
11
01
00
01
10
11
00
01
00
00
00
11
00
00
11
00
00
10
11
00
10
00
01
00
10
10
10
10
11
10
01
11
11
01
00
10
11
00
00
01
11
10
00
00
00
10
11
00
01
00
01
10
10
01
00
10
11
10
10
10
01
01
10
10
01
01
00
00
10
00
11
10
10
10
10
10
00
00
00
00
10
10
10
11
00
10
01
11
01
10
01
00
10
00
01
10
10
01
00
01
10
11
00
10
01
11
00
00
10
11
11
11
11
00
11
11
10
01
10
11
00
01
00
00
00
11
01
10
11
11
00
01
00
00
11
11
00
01
01
10
11
00
11
00
00
11
10
11
01
00
01
00
10
00
10
10
00
00
00
10
10
10
11
10
10
10
01
10
11
00
01
01
00
00
00
01
01
00
10
01
10
00
10
10
11
00
00
01
10
11
10
10
01
01
10
10
00
00
00
00
10
00
00
11
01
00
00
11
00
10
10
00
01
10
00
10
11
01
10
10
01
11
11
01
11
01
01
10
10
00
00
11
01
10
00
00
11
11
11
01
00
10
10
00
10
11
00
10
00
11
10
10
10
01
11
00
11
00
00
10
00
10
00
00
10
10
10
10
10
00
10
10
00
10
10
10
11
10
10
00
10
10
01
10
00
00
10
01
01
00
10
10
00
10
00
00
10
10
00
00
10
10
10
00
01
11
01
10
10
10
11
01
00
10
10
10
01
00
10
11
01
00
10
01
11
10
00
00
10
10
01
10
01
01
00
00
00
10
11
00
10
11
00
10
10
10
01
00
01
00
10
01
00
00
01
01
10
00
10
10
10
01
00
00
11
10
11
11
10
11
01
00
00
01
11
10
01
00
01
11
00
10
10
01
00
01
10
10
00
00
00
01
00
11
01
00
00
10
11
01
01
10
10
11
10
10
00
01
10
01
00
10
10
10
00
01
11
11
10
01
00
10
10
01
10
11
00
01
00
00
00
10
11
01
00
11
11
10
01
11
11
00
00
10
00
10
00
01
10
00
10
01
11
01
10
00
00
10
00
10
10
01
01
00
01
01
00
00
10
10
01
01
10
00
11
00
00
01
11
01
01
00
00
11
10
00
10
10
10
00
10
00
01
11
00
10
00
01
00
11
11
00
01
11
00
01
11
10
01
11
00
01
10
00
10
11
00
01
10
10
10
00
01
10
10
00
01
01
01
01
10
01
10
00
10
00
00
10
00
00
00
11
00
01
01
10
11
10
00
00
00
10
00
00
10
11
10
11
11
00
00
00
10
11
00
01
00
11
01
11
11
00
00
10
00
00
00
10
11
11
10
00
01
10
00
10
00
00
00
00
10
00
01
01
11
00
00
00
00
00
11
10
10
11
00
10
00
10
11
10
10
01
00
10
10
01
10
11
10
00
10
10
01
11
00
10
10
00
11
10
01
00
00
01
00
10
10
10
01
10
10
10
00
10
00
10
10
00
11
00
11
11
11
11
10
00
01
00
10
00
00
10
01
01
11
10
00
00
00
00
11
11
00
00
11
10
01
10
10
01
11
00
00
00
11
10
10
11
10
10
01
00
01
01
10
10
10
10
00
11
11
00
01
10
11
00
10
01
00
00
10
10
00
01
10
10
11
00
11
10
10
00
01
11
01
00
10
10
01
10
10
10
00
01
10
01
00
00
00
00
01
00
11
11
11
01
00
11
10
10
00
10
10
11
00
00
00
01
00
10
11
01
01
10
00
10
00
00
01
10
11
01
00
11
00
00
10
11
00
10
00
00
11
01
00
10
01
01
11
01
10
10
00
10
00
10
11
00
00
11
10
01
11
10
01
00
10
10
00
10
10
00
00
10
10
01
00
01
00
10
11
00
00
01
11
00
01
10
00
00
11
00
11
00
00
10
11
10
10
00
10
01
10
10
00
00
10
01
10
11
11
00
01
01
10
11
01
01
11
01
00
10
10
00
10
00
00
10
10
00
10
00
10
10
11
10
00
00
10
00
01
00
11
00
00
00
00
00
10
10
00
10
00
10
10
10
10
01
00
00
11
00
10
10
01
00
01
11
00
10
10
10
01
10
00
00
11
11
01
01
11
10
00
00
00
00
01
00
00
00
01
11
01
00
10
00
00
10
10
10
00
10
11
10
10
01
00
00
00
00
00
00
01
00
00
10
00
10
10
11
10
01
10
01
10
01
00
10
01
00
00
11
11
00
00
00
10
00
00
10
11
00
01
00
10
01
00
10
10
00
01
00
10
10
10
10
01
01
01
10
11
01
10
00
11
10
11
01
01
00
11
00
11
10
00
01
10
10
00
11
11
11
10
10
10
00
10
00
00
11
10
00
01
10
00
11
00
11
00
10
00
11
00
00
10
01
11
10
11
11
00
01
00
11
10
10
00
01
00
10
10
00
01
10
11
01
10
10
10
00
10
00
01
00
00
10
00
00
10
11
10
11
00
10
10
11
00
00
00
11
01
00
01
00
11
11
10
00
11
10
00
00
00
10
00
10
00
00
10
11
11
00
01
00
10
00
00
00
00
11
11
11
10
11
11
00
10
11
10
00
00
00
10
11
00
00
11
10
01
00
11
11
00
10
00
00
00
11
11
00
00
00
01
00
00
10
11
00
00
00
10
01
00
00
00
11
11
00
00
10
10
10
10
00
00
10
10
10
00
00
00
00
10
10
00
00
00
00
00
11
00
10
00
00
10
10
10
00
01
00
00
00
11
10
01
00
10
10
11
10
10
01
00
10
10
00
10
01
00
10
11
00
00
10
00
10
11
10
01
01
01
10
11
00
01
10
11
01
00
00
10
00
01
00
11
10
00
01
00
00
00
11
11
00
00
10
10
10
00
10
00
10
10
01
01
00
10
10
10
01
00
10
00
01
11
00
10
10
00
11
10
00
01
11
10
01
10
10
00
11
10
01
01
10
01
10
10
01
10
10
01
10
11
00
00
11
10
11
01
11
00
01
10
01
10
11
10
00
01
10
10
00
00
10
10
10
00
01
10
10
00
11
10
11
01
11
11
10
01
00
01
10
10
11
00
00
10
00
00
10
10
00
00
01
10
00
01
00
10
10
00
00
01
11
10
10
10
00
10
10
11
11
10
10
01
10
10
01
01
10
00
11
10
10
00
01
01
10
10
00
00
11
10
10
01
00
00
01
10
01
00
10
00
11
00
00
10
11
10
00
11
00
10
00
01
11
11
00
00
11
00
11
10
11
00
10
01
10
10
00
10
10
00
01
00
00
01
01
10
10
11
00
10
11
10
10
10
11
00
11
01
00
11
11
00
00
10
10
10
10
00
01
00
00
01
10
11
10
11
10
10
10
11
00
10
11
00
10
01
11
00
00
11
10
11
00
00
01
10
10
10
10
01
01
11
00
00
10
01
00
10
10
00
01
10
10
00
00
10
10
01
01
10
11
01
01
00
10
00
01
10
10
00
00
11
11
10
00
00
10
00
10
00
00
10
10
00
10
10
01
10
10
10
10
00
10
10
01
00
10
01
00
10
10
10
00
00
10
11
10
10
10
00
01
00
10
11
01
11
00
01
10
00
11
10
01
11
01
00
10
00
10
00
00
10
10
00
00
00
00
11
10
01
01
00
00
00
10
10
10
00
01
00
10
01
00
10
11
10
10
11
00
00
00
10
10
00
00
10
11
00
10
11
00
01
10
01
00
01
11
01
01
11
10
00
00
10
11
00
00
10
01
10
01
10
10
11
10
00
01
10
10
00
00
10
01
01
11
01
10
01
00
11
00
10
10
00
00
01
10
00
10
10
01
00
11
10
00
01
00
10
00
00
10
00
00
00
00
10
01
00
01
10
01
10
10
00
10
10
00
10
10
10
10
10
00
10
01
00
11
11
10
01
00
11
01
10
10
00
01
10
10
01
10
11
11
10
00
10
00
10
10
00
11
01
10
01
00
00
00
00
10
10
11
11
01
11
00
01
10
10
11
11
01
00
01
00
00
01
11
10
00
00
01
00
10
10
01
00
10
01
11
10
00
10
11
01
01
10
11
11
00
01
00
01
00
11
10
11
00
10
11
00
00
10
10
00
10
10
10
00
00
10
00
11
10
01
00
00
10
01
00
11
10
10
01
10
00
01
10
10
10
10
01
10
00
00
10
10
00
10
10
10
01
11
10
00
00
11
10
10
01
00
00
11
00
00
00
10
10
11
11
00
11
11
00
01
10
10
00
11
11
00
00
00
00
11
00
00
11
00
11
01
01
10
10
01
11
10
00
00
00
10
01
00
00
11
10
11
10
00
00
11
00
11
10
01
01
01
10
10
00
00
10
11
01
00
11
11
00
01
00
10
10
00
10
10
00
00
00
00
01
10
01
00
10
00
01
00
00
01
11
00
11
00
11
00
01
11
11
00
01
01
10
00
10
00
01
10
10
10
01
10
11
00
10
10
00
10
01
00
10
01
00
11
11
01
10
00
00
10
00
01
11
10
00
10
01
10
10
01
00
00
01
10
00
11
11
00
10
10
00
00
01
01
10
10
00
10
01
10
10
11
00
01
01
10
00
11
00
00
00
10
00
01
01
11
10
01
10
11
00
10
10
00
00
00
10
10
11
01
10
10
11
10
10
11
00
00
00
10
11
00
00
10
00
00
10
10
00
00
10
00
10
10
00
11
10
10
10
00
10
11
00
01
00
10
00
10
00
10
11
00
00
10
11
00
01
00
10
10
00
10
10
10
01
00
00
10
00
10
01
00
00
01
00
10
00
00
01
11
11
01
00
11
10
00
10
00
00
11
10
00
11
11
11
00
00
00
11
10
00
10
00
00
11
11
01
01
11
00
00
10
11
11
00
00
10
10
00
00
11
10
00
01
00
10
11
00
01
00
01
11
10
00
10
00
00
10
11
10
10
11
01
10
10
11
10
10
00
01
10
01
01
10
10
00
10
11
00
10
00
00
00
00
10
00
10
11
00
10
01
00
00
10
10
10
11
00
10
00
11
10
10
11
00
10
01
11
00
00
00
10
00
00
11
00
10
11
00
11
11
11
10
11
00
10
10
00
10
11
00
00
10
10
00
00
10
01
10
10
11
10
10
00
01
10
11
00
00
10
11
10
00
00
10
01
00
10
00
11
00
11
00
00
01
10
01
10
00
00
10
01
01
11
10
01
00
00
00
00
10
10
01
01
10
01
01
10
11
00
00
11
11
01
11
11
01
01
10
00
01
10
10
01
00
10
10
00
00
10
00
00
10
00
00
10
01
00
10
00
10
10
10
10
01
00
11
01
11
11
00
01
11
00
10
00
01
11
10
11
10
00
01
11
01
10
00
00
10
00
10
00
11
10
00
10
10
00
00
00
11
11
00
10
00
01
00
11
00
00
11
01
00
10
00
00
11
10
10
10
00
00
10
10
00
10
00
00
11
00
01
11
00
01
10
00
00
10
10
10
00
00
10
11
10
00
00
00
00
00
00
11
01
00
10
11
10
10
10
00
00
00
00
10
00
01
00
01
11
01
11
00
10
11
00
11
10
00
00
10
10
00
01
11
00
00
10
00
10
00
00
10
11
00
10
10
10
00
10
01
11
01
00
01
10
10
10
11
00
01
11
10
10
10
11
01
00
11
00
11
10
10
10
00
11
11
00
00
10
11
00
00
10
11
11
00
01
00
00
01
01
00
10
11
11
01
10
10
00
00
10
00
10
11
00
00
11
10
00
00
10
01
00
10
01
10
01
01
00
00
00
11
10
00
00
10
10
00
00
00
01
10
01
10
01
00
01
10
10
01
10
11
00
00
10
10
10
10
00
01
10
10
00
11
10
10
00
10
00
10
10
11
11
10
00
01
11
10
10
00
10
11
01
00
00
00
10
00
10
10
10
01
00
11
01
01
10
11
01
00
00
00
10
10
10
00
00
11
00
11
10
11
10
00
00
01
10
10
10
00
01
01
00
00
01
11
00
01
00
10
10
10
10
00
01
10
10
01
01
11
11
10
11
00
10
11
10
00
01
10
10
10
00
01
10
10
00
11
11
01
11
00
10
00
00
00
10
10
10
00
11
11
01
00
01
11
10
01
00
11
11
10
01
00
10
10
01
00
10
00
01
00
01
00
10
10
00
10
11
00
01
01
01
10
10
10
10
10
00
00
11
01
10
10
00
00
10
00
01
00
10
11
10
00
11
11
10
00
10
10
11
11
00
10
00
10
00
11
00
10
11
10
11
10
00
00
10
00
10
10
00
00
11
10
10
11
10
10
00
01
01
00
00
00
01
00
01
10
11
00
10
11
01
10
00
10
10
00
00
01
10
00
10
11
00
10
10
11
10
10
00
11
10
10
01
00
11
10
01
00
11
10
11
10
01
00
10
01
01
01
10
11
01
10
11
00
00
11
10
00
01
11
10
11
00
00
00
10
00
01
11
10
11
00
10
01
10
01
00
00
01
00
10
10
10
11
01
10
10
01
00
00
10
11
11
00
01
10
00
00
10
10
11
00
01
01
10
01
00
01
11
11
00
00
11
00
00
10
11
00
00
10
10
00
01
10
00
00
10
01
01
00
10
10
10
10
00
10
11
10
00
00
01
00
11
10
00
00
10
10
10
00
10
10
11
00
00
10
01
11
01
01
10
01
00
01
01
00
11
10
10
11
00
00
10
01
00
10
11
00
00
10
10
00
10
10
00
11
11
01
11
01
00
00
10
10
10
10
10
01
00
00
10
00
00
01
11
10
01
11
00
10
11
01
10
00
10
10
10
00
10
00
01
10
10
01
10
10
00
10
10
01
00
00
00
00
11
01
10
00
10
00
00
10
10
10
00
11
11
10
10
11
10
11
11
00
10
00
11
00
01
11
10
10
10
10
01
00
01
10
00
10
00
01
10
01
00
11
11
10
11
11
10
00
10
11
01
10
10
01
11
10
00
01
00
10
00
10
11
10
10
10
01
11
11
10
00
10
01
00
10
00
00
10
00
10
10
10
01
10
10
00
01
00
11
00
01
10
10
01
00
10
11
01
00
00
10
10
10
00
00
11
11
00
00
10
10
10
10
00
10
00
00
00
01
11
10
11
10
11
00
01
00
00
10
01
10
00
10
11
00
00
00
10
01
10
10
01
11
00
00
00
10
00
10
00
00
00
11
01
10
11
10
00
01
00
01
11
10
01
10
11
10
00
00
00
10
10
01
10
10
00
01
10
10
10
00
11
00
00
00
10
11
10
00
11
11
11
00
10
10
01
00
11
00
00
11
10
01
10
10
00
11
10
10
01
10
00
11
11
00
00
01
01
00
01
11
00
00
01
10
00
10
10
00
00
10
10
00
00
10
01
00
10
10
10
11
10
10
11
11
00
00
01
10
10
00
11
10
00
01
01
00
11
01
01
10
11
00
00
01
00
00
11
10
00
10
01
00
10
10
01
00
10
10
00
10
10
10
10
10
00
11
01
11
11
11
10
00
00
11
01
00
10
01
10
00
10
10
00
00
01
10
00
00
00
00
11
10
00
10
10
00
10
01
01
10
11
11
00
11
00
01
10
01
01
01
00
10
00
00
10
10
11
00
10
10
10
01
01
01
11
00
00
11
00
01
10
10
01
00
01
00
00
11
01
00
11
10
10
00
00
10
10
11
00
00
01
00
10
00
10
00
00
10
00
10
00
10
10
00
10
11
01
00
00
01
11
00
11
10
10
00
01
00
01
01
10
00
01
10
10
00
10
11
11
01
00
00
10
11
10
10
11
10
01
10
00
01
10
11
10
11
00
01
00
00
10
10
10
01
00
11
00
01
10
10
00
00
00
11
11
01
10
11
10
00
01
00
10
00
11
00
00
10
00
10
10
01
10
01
00
01
01
10
00
10
11
00
10
10
10
00
10
11
10
01
10
01
01
00
00
10
11
00
10
10
10
00
00
00
00
00
01
10
11
10
01
01
11
00
10
01
00
10
11
10
01
10
11
00
01
00
10
10
01
10
00
11
10
00
11
00
11
00
11
11
00
01
10
10
01
10
01
00
01
10
01
01
00
01
10
10
00
10
10
00
00
10
00
01
00
00
10
10
11
00
10
00
01
10
10
11
11
00
00
01
10
11
10
01
01
10
10
00
01
10
11
00
10
00
00
10
00
11
10
00
01
11
00
00
01
00
01
00
11
01
11
10
00
01
00
01
10
10
10
10
10
00
00
10
00
10
01
11
10
10
11
00
00
00
00
01
11
00
01
10
10
00
11
10
01
00
11
11
11
01
10
10
11
00
10
00
00
11
11
01
00
00
10
11
11
10
11
00
10
00
10
00
10
00
00
01
00
11
01
00
11
10
10
10
01
10
10
00
01
01
00
11
11
10
10
01
11
00
10
11
01
11
10
10
01
01
00
10
10
00
01
10
00
00
10
10
10
00
00
10
10
00
01
00
10
00
00
10
10
11
01
00
11
00
10
10
01
11
11
01
01
10
10
10
00
00
01
10
10
01
10
11
00
00
01
11
00
01
00
10
00
10
10
00
00
01
00
10
10
10
10
10
10
00
00
11
00
10
00
00
00
10
00
11
00
00
00
10
01
00
11
10
01
01
00
00
01
01
11
11
00
00
00
00
11
10
00
00
01
00
10
10
11
00
00
11
10
00
10
01
00
00
00
11
11
00
11
10
10
00
00
10
10
00
01
10
00
10
10
00
00
10
11
10
01
01
00
01
10
01
11
00
01
11
10
00
10
11
00
01
00
00
00
10
11
00
00
10
00
10
10
10
11
10
11
00
00
11
10
00
11
00
01
00
01
01
01
00
11
10
10
00
00
11
10
00
00
10
10
01
11
11
00
00
10
01
10
00
00
10
00
10
10
11
10
10
00
10
10
00
10
01
10
10
11
11
11
11
00
10
10
10
00
00
10
10
00
10
11
10
00
10
11
10
11
00
00
00
11
00
00
00
11
01
10
11
10
11
00
00
10
00
10
10
10
00
10
10
00
00
10
01
10
10
00
11
10
10
10
11
10
01
00
11
11
00
10
10
10
00
00
01
10
00
10
01
00
10
10
00
00
01
00
10
00
01
00
11
10
11
00
00
00
10
10
01
10
10
10
10
11
11
00
11
10
01
00
10
11
01
10
10
00
10
00
11
10
01
00
01
10
10
00
00
10
01
00
10
00
10
00
01
00
11
11
11
00
00
01
00
11
00
10
10
11
00
10
10
00
00
10
10
00
01
00
10
11
00
01
00
01
01
11
00
10
00
01
10
10
10
00
00
10
01
00
00
00
00
11
11
11
10
10
00
10
11
00
10
10
11
00
00
01
00
10
00
01
00
01
10
10
01
00
10
10
10
00
00
10
10
01
01
10
11
10
00
10
10
10
11
00
00
01
01
11
00
11
00
00
10
10
11
00
10
10
00
01
00
10
01
00
11
11
11
00
00
11
11
10
10
00
00
10
10
10
11
10
00
01
10
00
00
10
01
11
10
00
10
11
00
00
01
10
10
10
11
00
10
10
00
00
01
11
10
10
00
11
11
00
00
01
10
11
00
11
10
00
10
00
00
11
00
00
11
10
10
10
10
11
00
11
01
00
01
01
10
10
01
10
00
10
10
00
00
00
00
00
10
00
01
10
00
10
10
00
10
10
01
00
01
00
10
11
11
10
10
01
00
10
10
01
10
10
01
01
00
01
10
10
11
11
10
10
11
00
11
10
01
01
00
11
11
10
11
01
01
01
01
10
00
11
10
00
00
00
10
10
11
10
00
11
10
00
00
01
10
01
11
01
11
11
10
01
10
00
00
10
11
11
11
00
10
11
00
01
10
00
01
10
10
11
10
10
00
00
10
11
01
00
10
01
11
10
00
10
00
00
11
10
00
01
10
00
10
10
00
01
01
11
10
01
01
10
01
00
00
11
10
11
10
11
01
10
00
10
00
00
00
11
00
10
10
10
01
00
00
00
10
10
11
11
11
01
00
10
00
01
11
10
01
01
11
00
10
10
10
01
11
11
00
10
11
10
10
10
00
01
00
11
01
11
01
00
11
11
00
11
11
11
10
00
00
10
00
00
00
10
01
00
01
00
11
10
10
10
11
00
00
10
00
11
11
00
01
10
11
01
00
10
10
00
00
10
10
11
01
10
00
11
01
01
00
10
11
10
00
01
11
00
11
01
01
11
10
10
00
00
00
00
00
11
00
10
10
00
01
00
00
10
00
10
00
01
10
10
00
10
10
00
11
00
11
11
01
01
00
10
01
00
11
10
01
00
00
10
11
01
10
01
00
11
11
11
10
11
11
01
10
11
00
01
00
10
10
00
01
10
00
00
00
10
01
11
10
10
10
01
10
00
01
11
10
10
10
00
10
01
01
01
10
00
00
10
00
10
10
10
00
01
11
10
00
00
11
00
00
00
00
00
11
10
10
10
01
00
00
00
00
10
00
10
11
11
10
11
00
10
10
00
01
00
01
10
00
11
10
10
00
00
10
00
11
00
00
11
01
01
11
00
01
01
01
10
11
00
00
10
10
10
00
01
10
01
00
01
10
10
00
10
00
00
10
01
10
10
10
00
00
01
00
11
11
00
00
10
00
00
10
10
10
01
00
01
10
01
10
00
00
01
11
10
10
10
01
00
10
01
10
01
00
11
01
00
01
10
00
01
00
11
11
00
00
11
11
10
10
11
01
01
00
00
10
00
00
10
10
10
10
10
01
00
11
11
00
10
10
10
00
01
11
10
01
10
10
01
11
10
00
01
10
00
01
10
01
00
10
10
10
01
10
00
10
01
10
00
00
00
11
10
10
10
11
10
00
00
10
10
11
00
01
01
10
10
10
11
01
10
10
00
11
10
10
10
00
10
10
00
10
01
00
11
10
00
00
10
01
10
00
00
00
10
10
00
10
10
00
11
10
01
01
00
10
01
10
11
10
01
11
00
00
10
00
00
00
10
00
00
10
00
10
00
10
00
10
10
10
01
10
01
01
01
10
10
00
10
00
00
00
10
11
10
00
00
11
00
00
10
11
11
00
10
11
11
00
10
01
00
00
00
11
11
00
00
00
00
10
00
10
10
10
10
01
10
10
11
00
10
01
00
10
10
00
00
00
01
10
00
00
01
00
10
00
01
01
01
00
00
10
11
10
10
10
00
00
10
11
11
10
10
01
10
11
01
00
01
10
10
00
10
01
00
10
11
10
01
00
00
10
00
00
10
10
00
10
00
01
10
00
01
11
10
00
10
11
00
11
00
10
10
10
11
00
10
10
10
01
00
10
01
00
00
11
10
11
10
00
00
00
10
00
10
10
00
10
00
11
11
00
10
11
10
00
00
00
00
10
11
00
10
10
10
11
11
00
10
01
10
11
00
00
01
10
01
11
10
01
00
10
00
00
10
10
10
00
00
01
10
01
10
01
11
00
01
00
00
10
10
00
00
10
10
11
00
00
10
00
00
00
00
01
10
11
01
10
10
00
10
11
10
01
11
01
00
10
10
10
10
01
10
01
00
10
00
11
10
01
00
11
11
00
10
01
00
10
00
10
11
10
10
00
10
10
10
11
00
00
10
10
10
00
01
10
10
00
10
00
01
00
00
00
10
00
00
01
00
10
11
00
10
11
10
10
10
10
11
01
00
00
10
10
10
00
01
11
10
11
00
01
11
11
10
11
10
00
01
10
10
00
01
10
01
10
01
00
10
10
01
01
10
10
00
11
00
00
00
10
10
00
10
00
00
01
10
01
00
01
01
10
10
00
10
10
00
00
10
11
10
00
11
01
10
00
00
11
00
00
11
00
10
00
10
10
00
00
10
10
11
00
01
00
00
11
00
10
10
10
00
10
10
01
00
00
00
10
00
00
00
01
10
00
00
10
00
11
10
01
11
10
11
01
01
10
10
10
10
11
01
01
10
11
10
10
01
00
10
10
11
10
10
00
00
01
00
00
00
10
01
01
11
10
00
01
00
01
01
00
11
10
10
11
10
01
00
10
11
00
00
00
10
00
10
00
00
10
00
11
10
00
00
10
01
10
00
00
00
11
11
00
10
10
11
00
10
00
10
10
00
01
01
01
10
01
10
00
01
10
00
10
11
01
00
10
11
10
00
00
00
10
10
00
00
10
01
11
10
10
00
00
11
10
00
11
10
00
00
01
10
00
00
11
00
10
10
10
10
01
00
01
10
01
10
10
11
01
10
11
10
00
10
00
00
10
10
00
10
01
10
00
00
10
11
00
00
10
10
00
00
00
01
10
10
00
10
10
00
11
00
10
00
10
01
11
00
01
11
00
10
00
10
00
01
10
00
00
01
00
00
11
11
11
01
10
00
01
10
10
10
00
01
01
11
11
10
01
11
11
00
01
11
10
00
00
10
11
00
00
10
11
00
01
11
00
10
00
00
00
10
10
01
01
10
00
11
11
10
10
00
10
10
00
00
00
10
11
10
11
00
00
01
10
00
10
00
11
01
10
10
10
00
10
01
11
00
00
10
10
10
11
11
10
00
00
00
10
00
10
01
01
11
00
11
10
00
00
00
11
10
00
00
11
11
11
00
00
10
10
10
00
00
11
01
10
10
01
10
01
01
00
01
11
01
11
00
00
01
10
10
01
00
11
00
00
10
11
00
10
01
00
10
10
11
10
01
01
11
01
00
00
10
01
11
00
00
10
00
10
10
10
01
00
10
01
10
01
00
01
10
00
11
00
10
00
11
10
10
00
00
00
10
11
00
11
00
10
00
01
00
10
00
00
00
11
11
01
11
11
11
00
11
11
10
10
10
00
00
10
00
01
01
00
11
00
00
01
11
10
10
00
00
00
11
10
10
00
10
10
11
01
00
00
10
10
00
10
11
00
00
10
10
10
00
10
01
00
10
00
10
10
01
10
01
01
00
10
00
00
10
10
11
00
00
00
10
00
00
10
11
01
00
10
11
00
11
10
00
11
00
00
00
11
10
11
11
01
10
11
10
01
10
10
10
10
00
00
01
10
11
10
10
01
00
00
11
01
01
11
11
11
00
00
01
11
00
10
10
00
01
00
10
10
10
11
01
11
01
00
10
00
01
11
11
00
00
11
10
00
10
00
00
10
10
10
10
11
00
10
10
10
10
00
10
00
10
01
01
00
10
10
11
10
10
10
01
10
00
11
00
01
10
01
10
00
01
00
11
10
00
01
11
10
00
11
11
01
10
11
10
00
00
00
00
10
10
01
10
11
01
11
00
11
10
00
00
10
10
00
00
10
10
10
10
00
11
11
10
01
00
01
00
01
10
00
01
11
10
00
10
00
10
10
10
11
00
11
10
00
10
01
10
00
11
00
10
10
11
11
00
01
01
11
10
11
00
11
10
01
00
10
10
01
00
10
10
00
11
11
01
11
10
10
10
00
00
10
10
00
00
10
00
11
10
01
11
10
01
01
01
10
01
00
10
11
01
00
00
00
11
00
00
00
10
00
10
11
00
00
00
00
10
00
00
10
01
00
10
00
01
10
00
11
10
00
00
10
00
01
00
10
11
00
00
11
00
01
01
01
10
00
00
11
00
00
11
10
10
00
10
01
10
00
11
00
10
01
11
10
00
01
10
01
01
00
10
11
01
01
11
10
01
10
11
00
01
11
11
01
01
10
00
11
00
10
11
00
01
11
01
10
00
01
10
00
10
10
01
01
10
11
01
11
10
01
10
01
00
10
01
11
10
10
00
00
11
10
01
00
11
10
10
10
10
00
01
10
10
01
00
11
10
01
00
11
11
00
00
00
10
11
11
00
10
10
10
00
00
10
00
00
01
00
10
10
11
10
11
00
01
00
10
00
10
00
00
10
10
01
10
11
00
10
01
00
00
11
10
00
10
01
00
00
10
10
00
00
01
10
10
00
10
10
10
00
10
00
10
00
01
01
11
00
10
10
01
00
00
11
01
10
11
10
00
00
10
00
01
00
10
10
10
00
00
11
00
10
00
10
00
11
10
00
11
11
11
01
10
00
00
11
10
00
01
10
00
00
00
11
01
01
11
11
11
10
11
00
00
10
00
01
10
00
11
01
10
11
10
10
01
01
01
01
11
11
01
00
00
00
11
11
00
01
10
00
10
01
10
10
11
11
10
11
00
00
01
10
10
00
10
10
10
01
01
10
00
10
11
10
01
01
10
01
01
00
00
00
01
11
11
01
10
10
01
00
11
10
01
00
10
11
11
00
01
10
10
00
00
00
10
10
10
01
00
00
11
10
01
10
00
10
00
00
10
00
00
00
10
10
10
00
10
10
00
01
00
10
11
10
10
01
11
11
10
00
10
11
11
10
00
11
01
00
01
10
00
01
10
00
10
10
01
11
00
00
10
00
00
10
01
10
00
00
11
00
00
11
01
01
11
00
10
10
00
00
00
00
10
10
00
10
10
11
11
01
01
10
00
01
10
11
11
00
10
01
00
11
11
00
00
11
00
01
10
10
00
10
01
00
10
10
00
10
00
01
10
10
01
10
00
10
00
10
00
00
10
10
01
11
01
00
10
10
01
11
10
01
00
11
10
00
11
10
00
00
11
00
10
10
10
01
00
10
00
11
01
10
01
10
11
00
00
10
00
00
10
11
10
11
10
00
01
10
00
00
00
10
10
01
11
10
01
11
11
10
01
11
10
00
00
10
11
10
00
10
10
01
11
00
10
10
00
00
00
11
11
01
10
10
10
00
00
10
00
10
10
10
10
01
11
11
11
10
01
00
01
00
10
10
00
11
10
10
00
10
10
10
11
10
00
00
11
00
01
11
11
00
01
10
11
01
00
00
10
10
00
00
10
10
00
00
00
00
10
10
10
11
11
01
01
10
00
00
11
00
00
10
00
01
00
10
10
00
10
00
00
00
00
11
00
11
11
00
00
10
10
10
00
00
01
11
00
00
00
11
00
00
11
00
00
10
10
00
11
01
00
10
10
01
10
10
00
10
10
11
11
00
01
10
01
10
10
00
00
11
01
01
00
00
01
10
10
10
01
01
01
10
10
10
00
01
10
00
00
11
00
00
10
10
00
00
11
10
00
10
01
01
00
10
10
00
10
11
10
00
10
01
00
10
10
10
01
00
10
11
10
11
10
10
00
10
01
10
10
00
00
00
10
10
00
01
11
10
01
11
00
00
11
10
10
10
01
10
00
10
00
00
11
00
10
01
10
11
01
10
00
00
11
10
10
00
00
10
10
00
00
10
10
10
10
10
00
10
00
11
00
11
10
00
11
01
00
11
01
11
00
00
10
10
10
10
01
01
10
11
10
00
01
00
10
01
11
10
10
01
00
10
10
11
11
11
00
00
10
01
00
11
00
01
00
11
01
00
01
10
00
01
01
10
10
00
00
11
00
11
10
00
10
01
10
10
01
10
10
00
11
00
00
10
11
11
01
11
10
00
01
00
01
10
11
00
00
10
00
00
10
11
01
00
10
01
10
10
00
10
00
00
01
10
00
10
00
10
00
01
00
00
10
01
01
11
10
01
00
10
11
01
00
11
10
01
10
00
10
10
00
01
10
01
00
00
11
11
10
00
11
10
01
00
11
11
10
01
00
01
10
00
00
11
11
00
00
10
11
01
10
00
11
00
11
11
10
11
11
01
00
10
10
10
11
01
00
11
00
00
10
10
01
01
10
11
00
00
00
11
10
00
00
10
00
01
01
00
10
10
00
10
10
00
10
10
10
00
00
00
01
11
10
00
00
10
00
10
10
11
10
10
10
00
11
00
00
10
10
10
10
00
00
11
01
11
01
11
01
10
11
00
00
10
10
00
01
10
11
11
10
10
00
00
00
00
10
10
00
00
00
00
00
00
11
11
10
01
00
01
11
10
00
00
11
11
10
01
01
11
10
00
00
00
10
10
00
11
11
00
11
01
11
11
01
11
10
00
00
10
00
10
10
00
10
10
10
00
11
10
00
00
10
11
10
00
00
00
10
10
11
00
11
11
10
10
01
10
10
10
00
00
10
01
10
01
00
11
10
11
01
10
10
00
00
00
00
11
10
00
10
01
01
10
10
00
11
10
00
00
10
11
00
00
01
01
11
00
00
10
10
11
00
01
10
10
10
01
00
00
10
10
00
00
00
11
11
00
00
10
11
11
10
10
11
10
01
01
00
01
01
10
11
00
01
00
00
10
11
00
00
11
00
00
01
10
10
10
10
00
00
11
10
10
01
00
01
00
10
10
10
10
01
01
11
11
10
00
00
01
11
10
00
00
11
10
00
10
10
00
00
00
10
00
00
10
11
11
10
00
11
10
10
00
10
10
01
00
10
10
00
01
10
10
10
10
10
10
00
10
10
01
00
00
00
00
00
00
00
00
11
10
10
00
10
10
10
10
11
01
11
00
01
00
00
10
01
00
10
11
01
11
11
00
11
11
11
00
00
10
10
01
00
11
11
01
10
10
00
01
10
11
01
01
10
11
10
01
00
01
10
10
00
00
11
10
10
00
10
00
00
00
11
10
10
00
11
10
00
01
11
10
00
10
01
11
00
01
11
10
00
11
10
11
00
00
10
11
10
00
00
10
10
00
10
10
10
11
00
10
00
10
10
00
10
11
10
01
10
10
10
11
10
00
10
10
01
10
10
01
10
11
00
00
10
11
11
00
10
00
10
10
11
10
00
11
11
00
00
00
10
10
10
00
10
00
01
10
00
11
10
11
01
11
11
01
00
00
10
11
10
01
00
10
10
10
00
11
01
00
10
10
11
00
00
10
00
00
00
10
00
00
10
11
11
10
11
00
01
00
00
11
00
11
10
00
10
10
00
00
10
10
00
00
10
10
01
00
00
00
10
10
10
10
01
01
11
10
10
10
11
01
01
10
10
01
00
01
10
00
00
10
10
01
00
10
00
11
00
10
10
00
11
11
10
00
01
00
11
10
10
00
00
10
10
11
00
01
01
11
10
10
10
11
00
00
10
10
10
00
10
10
00
01
10
01
10
01
00
01
11
00
11
10
10
11
00
01
11
11
00
00
10
10
11
11
00
01
11
10
00
10
01
10
10
01
01
10
00
00
10
01
01
10
11
11
01
01
01
11
10
11
00
01
01
01
10
01
00
11
00
01
01
11
00
00
00
10
00
01
10
10
00
10
01
00
01
01
10
01
00
11
10
00
00
10
11
11
11
00
01
10
11
10
10
10
00
10
10
00
00
00
11
11
11
10
00
00
01
00
10
00
00
10
10
10
00
01
10
11
00
11
10
00
11
10
11
01
10
10
11
10
01
00
10
10
10
10
00
10
10
01
01
00
00
10
11
01
10
10
00
01
00
00
00
00
11
10
10
00
01
01
00
11
01
11
10
10
00
00
01
10
00
00
10
00
10
10
10
10
00
10
00
01
10
01
10
01
00
11
00
00
00
10
11
01
01
11
10
00
00
01
11
00
01
10
00
10
11
10
11
00
00
00
10
10
01
00
10
11
10
00
00
00
10
00
00
00
11
11
00
11
10
01
00
00
10
00
10
11
10
00
00
10
11
10
11
00
01
10
00
11
10
10
00
00
11
10
01
00
00
10
00
11
01
00
11
00
00
10
11
00
10
11
01
10
00
10
10
10
00
10
01
01
00
10
00
10
00
00
00
00
00
10
10
01
10
10
11
11
10
10
10
00
10
10
10
10
11
10
01
00
10
10
10
10
10
10
00
00
00
01
00
00
00
00
11
00
01
10
11
00
00
11
10
10
00
01
10
11
10
00
00
10
11
00
11
10
11
01
01
01
10
10
10
11
00
10
10
00
01
00
10
00
00
11
01
01
10
01
10
00
11
10
01
01
10
00
10
11
10
00
10
11
01
01
00
00
10
10
10
00
10
11
00
10
10
00
01
01
10
11
10
10
10
01
01
01
11
10
01
01
00
10
11
10
00
01
11
01
11
01
00
11
10
10
01
01
10
10
11
01
01
10
10
01
10
01
10
11
01
10
00
11
10
00
00
00
11
10
10
01
10
01
11
00
00
10
00
10
10
01
00
00
10
11
00
10
11
00
10
10
01
00
10
00
01
01
10
10
10
01
01
10
10
11
00
00
00
00
10
11
01
10
10
00
10
00
11
01
00
01
10
11
00
00
11
11
11
00
00
10
01
00
10
10
01
10
11
01
11
10
11
00
01
00
10
00
10
10
00
01
10
00
00
10
10
10
00
10
10
10
00
00
00
01
01
00
00
00
10
01
11
10
10
01
00
10
01
01
11
00
10
00
00
00
00
10
00
10
11
10
10
00
11
10
01
00
00
00
01
11
11
10
01
10
10
10
01
11
00
01
00
10
11
00
10
01
00
10
10
01
00
10
00
10
10
11
00
10
10
00
10
00
00
00
10
11
10
00
10
00
11
00
01
00
00
00
00
10
00
00
10
10
10
01
10
00
10
10
00
01
11
11
00
10
10
00
11
10
01
01
00
10
10
10
11
10
01
01
11
11
10
10
01
11
11
01
00
10
11
01
00
10
10
10
11
00
00
01
01
00
11
01
11
00
00
10
10
10
10
11
11
10
00
00
10
00
10
01
11
11
01
11
00
01
01
10
11
00
00
10
10
01
11
11
00
10
11
10
11
11
00
00
10
01
01
01
11
11
00
00
10
10
00
00
11
11
10
00
00
00
00
00
00
10
00
01
10
10
00
00
00
01
11
00
00
10
01
01
10
10
00
00
00
00
00
11
10
01
00
10
00
01
00
10
01
01
10
01
01
01
00
00
10
10
00
00
11
11
10
01
00
11
00
00
00
00
01
10
00
00
00
10
10
00
00
00
11
10
01
00
01
01
11
00
01
10
10
01
00
10
11
01
00
10
01
01
01
10
10
11
11
00
00
11
11
00
10
00
10
10
00
00
11
10
00
10
10
10
10
01
00
01
01
00
10
00
11
10
10
11
00
00
10
01
01
00
00
00
11
10
11
10
01
10
00
10
00
00
11
10
10
10
10
01
01
00
10
00
10
00
01
00
10
10
10
00
00
11
11
01
01
10
11
00
01
10
00
00
11
11
01
01
10
10
01
10
00
00
10
11
01
00
10
00
01
01
00
11
01
01
10
10
10
00
00
11
10
01
00
00
11
00
01
11
10
00
01
00
10
11
00
00
00
11
10
10
00
00
00
11
10
00
11
10
11
01
10
10
10
11
00
10
10
10
10
10
11
00
00
00
10
01
11
01
00
01
11
11
00
00
00
00
11
11
01
00
11
10
10
00
10
01
01
10
10
11
10
00
10
10
11
00
00
00
00
00
01
10
01
00
01
00
00
01
11
00
00
00
10
10
10
11
00
11
00
10
11
00
00
10
10
10
00
00
10
00
11
10
10
01
00
11
10
01
00
00
00
10
10
00
00
01
00
00
00
10
10
00
01
10
00
11
01
10
10
00
11
11
10
10
10
01
10
01
00
01
10
10
10
00
00
00
01
10
01
11
01
01
10
10
10
10
01
10
10
00
11
10
00
10
11
00
01
10
11
11
00
00
00
01
11
00
00
10
10
00
10
01
01
10
00
10
11
10
11
00
00
00
10
00
10
00
00
00
11
10
01
11
10
10
11
00
01
00
11
10
00
11
00
00
10
00
00
00
00
11
10
00
11
00
00
10
10
10
01
00
00
10
11
11
10
00
00
11
00
11
10
00
10
01
01
00
00
10
00
10
10
10
01
00
10
01
10
00
10
11
00
00
00
01
00
00
11
10
00
00
00
00
00
10
11
00
10
10
00
11
11
10
01
00
11
00
00
10
11
00
01
10
10
01
11
10
01
00
10
10
00
00
10
00
10
11
10
00
11
11
00
00
01
11
10
00
01
11
10
00
00
00
10
00
01
10
10
10
00
10
00
00
00
01
00
10
00
11
10
01
10
10
10
11
00
01
00
11
10
00
10
00
01
00
11
10
01
10
11
10
00
01
10
01
01
11
01
00
00
00
01
11
10
10
01
01
00
10
10
00
11
10
00
10
01
00
10
00
00
10
00
10
10
00
11
10
00
00
00
00
11
10
10
00
10
10
10
10
10
01
00
01
01
10
10
00
00
10
00
00
10
10
10
11
00
01
00
01
10
00
01
00
11
10
10
10
11
00
10
11
01
00
00
00
00
01
10
10
00
00
00
00
11
01
00
10
01
10
01
10
11
11
10
00
00
00
11
01
01
01
10
10
00
00
10
11
00
00
00
01
00
10
10
10
00
11
00
11
11
11
00
10
01
00
11
10
11
00
11
11
00
00
10
11
00
11
10
00
10
11
01
00
11
10
10
00
00
11
11
10
00
10
01
00
10
00
00
10
10
00
10
10
01
10
10
00
10
00
10
00
10
10
10
00
00
00
01
11
10
11
10
00
11
01
00
01
11
10
11
11
10
10
00
01
00
11
10
00
10
00
11
00
01
10
10
10
10
11
00
11
10
10
10
11
11
10
10
00
01
11
10
00
11
00
00
10
00
00
00
11
10
10
00
00
10
11
00
11
00
00
00
00
10
10
00
00
10
10
10
00
00
10
10
11
00
10
00
00
11
10
10
00
00
11
00
10
11
00
10
00
00
10
11
10
01
01
10
01
11
00
10
11
00
11
01
00
10
00
00
11
00
00
00
00
10
11
11
10
10
00
11
01
10
11
00
11
00
11
00
10
00
00
11
10
10
01
10
01
10
00
11
00
00
10
11
11
11
00
00
10
01
00
11
10
00
00
10
11
00
10
11
00
10
01
00
00
10
01
00
00
11
10
10
01
11
11
01
00
11
00
01
01
00
10
10
10
10
10
01
00
00
01
10
10
11
00
11
11
01
01
00
11
11
00
01
00
10
10
01
11
00
10
10
10
10
00
10
10
01
01
00
11
01
10
00
00
01
01
11
11
00
01
10
10
11
00
01
01
10
10
01
00
11
00
00
10
00
00
11
10
01
11
00
01
00
10
01
00
00
10
00
00
11
11
10
10
01
01
00
10
10
00
10
00
01
10
01
10
01
00
01
10
10
10
01
11
01
10
10
10
00
11
10
00
00
00
11
10
01
11
10
01
10
00
00
00
10
10
10
00
11
11
01
00
10
00
00
01
11
01
00
00
00
10
00
10
00
10
11
10
01
01
01
00
11
10
10
10
01
11
10
00
01
10
01
10
00
00
10
10
11
10
11
10
00
00
10
00
10
11
00
00
01
11
01
00
11
11
00
00
10
10
00
00
10
01
01
01
11
10
10
10
00
00
00
10
10
00
00
11
00
11
11
01
01
01
10
01
10
01
10
00
01
10
10
00
10
11
10
10
01
00
11
10
11
11
00
01
11
10
10
01
00
10
10
01
01
00
00
10
10
10
00
00
10
10
00
11
01
00
11
10
00
00
10
10
01
10
10
00
00
10
10
00
00
10
10
01
10
01
00
10
10
10
00
11
10
01
01
10
01
10
10
00
01
11
00
11
10
10
11
00
00
11
10
00
00
10
01
10
00
11
11
01
11
11
10
10
00
00
00
10
00
01
10
10
10
10
10
00
10
10
01
00
11
11
11
00
00
11
10
00
01
01
01
10
11
10
10
00
00
00
10
10
11
00
10
00
00
00
01
10
01
10
01
11
00
10
10
00
00
10
10
10
10
00
00
11
01
11
00
00
01
10
10
01
10
10
11
10
00
00
10
10
10
10
00
10
10
10
00
00
00
00
00
00
10
10
00
10
10
00
01
01
10
10
00
10
10
00
01
10
10
01
11
00
00
00
10
00
10
01
00
10
00
11
00
11
10
00
10
00
11
10
10
01
10
01
10
10
10
10
01
10
11
00
01
00
00
10
01
10
10
10
10
11
10
00
10
10
10
01
11
11
10
10
10
10
11
00
11
01
10
11
11
11
00
01
10
00
10
11
00
01
00
10
00
10
10
10
00
11
11
00
11
00
01
10
11
01
00
10
10
00
01
01
11
10
01
10
10
00
01
10
10
00
10
10
11
10
00
10
00
00
00
00
10
00
10
00
10
10
00
10
01
10
00
11
11
00
00
00
01
11
10
10
11
11
11
01
10
00
10
11
01
11
01
11
00
10
01
00
10
01
01
10
01
11
00
00
00
00
11
10
00
00
10
11
11
10
11
10
11
00
10
10
00
11
00
00
10
10
00
11
00
11
10
00
00
00
01
00
00
11
10
11
01
10
00
01
10
10
10
00
10
00
00
10
00
10
10
10
00
00
10
00
10
10
00
01
10
10
00
10
10
01
10
01
11
10
11
10
00
00
00
01
11
10
10
10
01
11
00
00
10
01
10
10
11
00
10
01
01
10
00
00
00
00
00
01
10
11
10
00
10
11
01
00
10
11
00
01
10
10
10
00
00
10
00
01
11
00
00
10
11
11
11
11
11
01
01
10
00
00
10
10
00
00
11
10
01
01
10
11
00
00
10
00
00
10
00
00
10
00
00
11
10
00
10
10
01
10
10
10
10
01
11
00
01
11
10
01
10
01
10
10
00
01
01
00
00
10
01
10
10
10
00
00
01
01
10
00
01
10
01
00
10
10
00
00
00
01
00
11
11
00
10
01
00
10
00
01
11
10
01
10
01
11
00
01
10
11
01
00
10
11
01
00
01
11
01
00
10
01
10
11
00
10
11
10
11
01
00
10
11
00
01
00
10
00
01
10
10
00
00
10
11
10
01
10
01
00
00
10
00
01
10
00
01
00
00
10
00
01
00
10
11
10
11
11
10
00
01
01
10
11
10
10
01
01
01
11
11
01
10
10
11
10
10
10
11
00
11
00
00
00
11
00
01
00
11
01
00
11
10
10
00
10
10
10
10
00
10
10
00
10
01
11
00
00
01
11
00
00
11
00
10
10
00
10
10
00
00
10
10
10
00
10
01
01
10
00
10
11
01
00
00
10
01
10
00
10
10
01
11
00
00
00
10
10
00
10
10
00
10
00
10
10
01
01
11
10
00
10
10
00
10
00
10
10
00
01
01
10
11
10
01
10
00
11
00
11
10
11
00
10
10
10
10
01
11
00
01
10
11
11
10
10
00
00
10
01
00
11
10
11
10
10
10
01
10
11
01
00
10
01
01
10
10
00
00
11
10
11
10
10
10
01
01
10
00
00
10
00
00
01
11
11
10
11
10
01
01
10
00
11
10
01
00
00
00
10
10
10
01
11
10
00
10
10
01
10
10
00
10
10
10
10
00
00
10
00
10
00
11
10
10
11
01
00
10
10
00
10
10
00
00
10
00
00
00
11
11
00
10
01
10
00
10
11
00
00
11
00
11
11
00
00
11
10
00
00
10
00
10
01
00
10
01
10
10
01
11
10
11
00
00
00
10
10
00
10
10
00
10
11
00
00
10
10
00
00
00
11
10
01
10
11
00
11
11
11
10
00
00
00
00
11
10
10
01
00
00
10
10
00
00
01
10
01
10
10
00
01
00
01
00
10
11
10
11
10
10
00
10
11
10
01
10
00
10
01
00
11
11
10
00
00
10
00
01
00
00
10
11
01
00
11
11
10
00
10
00
00
01
11
11
00
10
00
01
00
10
10
01
01
10
10
01
00
01
00
00
00
01
00
10
10
00
10
00
11
11
01
00
11
10
00
10
01
01
00
11
10
00
10
01
00
10
10
10
10
00
11
01
00
10
01
10
10
01
01
10
01
10
01
10
10
01
10
00
01
00
11
10
00
01
00
10
10
10
00
10
00
00
00
11
10
00
10
00
11
00
01
10
01
11
00
00
11
00
01
11
10
01
11
11
11
00
00
10
11
00
01
10
10
00
00
01
10
11
00
00
01
00
01
10
11
00
10
10
00
00
11
11
01
00
01
10
10
10
00
01
10
11
00
11
10
00
10
10
10
01
01
10
00
10
00
10
01
10
11
00
00
10
10
01
01
01
10
00
00
10
10
10
00
00
10
00
10
11
10
00
01
11
00
00
00
10
00
01
01
01
11
10
10
10
11
00
11
10
00
00
01
00
01
01
10
11
00
11
11
10
01
01
01
10
00
00
01
01
01
11
10
11
10
01
00
10
10
00
10
11
10
11
10
11
01
00
10
01
10
10
10
10
01
00
10
01
00
11
10
01
10
01
00
00
01
10
11
01
00
11
10
00
00
00
00
10
10
00
00
11
01
00
01
10
00
01
10
01
00
00
10
10
01
10
10
01
10
10
00
11
00
00
10
10
00
10
00
11
00
00
00
01
11
01
00
10
10
00
00
11
10
01
00
10
10
01
01
10
11
01
10
00
00
10
10
00
01
10
10
01
01
01
00
11
11
00
11
10
00
10
10
00
00
00
10
00
00
01
00
11
10
01
00
10
10
11
00
01
01
11
11
10
10
00
00
11
10
00
00
00
00
10
00
00
10
11
01
10
10
11
00
10
00
00
11
10
11
00
01
11
00
00
00
00
10
01
00
10
00
00
10
00
10
11
10
00
00
00
10
01
00
01
00
10
11
10
10
10
00
00
10
01
10
00
00
10
01
00
11
10
00
00
00
11
11
10
01
00
10
10
00
01
10
10
00
00
11
00
11
00
11
10
01
00
11
11
00
00
00
01
11
10
00
11
00
10
10
00
10
11
00
10
00
11
11
10
00
01
01
00
10
01
10
11
01
00
01
10
10
11
00
10
10
10
00
00
10
11
00
10
01
00
10
01
00
10
00
01
00
10
00
11
10
00
01
10
11
01
01
01
11
10
00
01
10
11
10
01
00
01
10
11
11
01
10
11
10
10
10
00
01
01
10
10
00
11
10
01
00
10
10
10
11
00
10
10
01
01
00
00
00
10
10
00
11
01
01
11
10
10
11
00
10
10
10
00
10
00
11
00
10
01
01
01
00
00
10
11
00
01
00
10
10
10
01
00
10
10
01
00
00
10
00
00
00
01
10
10
01
01
10
11
11
00
00
01
11
10
00
10
10
01
01
11
01
01
10
00
01
10
10
01
00
00
00
11
00
01
00
10
10
10
10
00
00
10
10
00
11
00
10
10
00
10
11
11
11
11
00
11
11
01
00
10
11
10
10
01
00
00
10
10
00
10
00
10
00
00
10
01
10
10
10
01
00
00
00
00
10
01
01
11
01
01
10
01
10
01
10
10
00
01
10
01
00
10
11
01
01
10
10
01
00
01
00
00
00
10
10
11
10
10
10
10
00
10
01
00
11
10
01
10
11
00
10
10
00
00
01
00
10
00
10
00
00
00
00
10
10
01
00
11
00
11
00
01
11
10
10
01
01
10
10
11
00
01
01
00
00
10
11
00
01
10
11
10
11
10
11
01
00
01
00
11
11
11
00
10
01
00
10
01
10
01
00
01
10
10
00
10
01
00
11
10
10
00
10
00
10
10
01
00
01
01
10
10
01
00
00
00
01
10
10
11
01
00
11
00
11
01
01
10
11
01
00
01
11
10
01
10
11
00
00
11
01
00
00
10
10
10
00
10
10
10
00
00
01
10
10
10
01
11
10
10
10
00
10
01
11
10
10
10
00
01
01
10
10
10
00
00
01
00
00
10
00
00
01
00
11
10
10
00
10
10
10
01
10
10
00
00
00
10
10
10
00
01
11
10
10
10
00
00
00
10
10
10
00
11
00
11
01
10
11
01
00
11
00
00
10
11
00
00
10
10
00
11
10
01
00
01
00
00
10
10
00
00
10
11
10
01
01
10
00
01
00
01
00
10
10
00
10
11
00
00
10
10
10
10
00
01
11
10
01
00
11
00
10
11
00
11
11
01
00
11
00
01
00
00
00
01
10
10
01
00
10
10
10
00
11
11
11
10
01
10
00
10
11
01
01
00
11
11
10
00
00
10
01
01
11
10
00
00
00
01
10
10
10
01
00
00
10
00
10
10
10
00
10
10
00
10
10
00
11
00
10
11
01
10
00
10
00
10
10
11
00
11
11
00
11
10
00
11
10
00
10
10
01
00
10
10
00
00
10
00
00
11
11
10
00
01
11
11
10
10
00
10
11
10
10
00
00
00
00
00
00
00
10
01
10
00
01
00
10
10
10
10
11
00
11
10
00
11
11
10
11
11
00
01
10
00
10
10
00
00
10
10
01
10
01
11
11
00
10
11
00
00
10
01
00
01
10
10
00
10
10
10
00
00
00
00
11
01
00
11
10
10
00
11
00
11
10
10
10
01
00
00
10
10
11
00
10
10
00
00
01
10
00
10
11
00
01
01
10
10
00
11
10
11
10
00
01
11
11
00
10
00
00
10
10
00
00
10
10
11
00
01
10
10
10
11
11
01
10
10
00
00
00
10
10
00
11
10
10
00
00
11
10
00
00
00
11
00
00
00
10
11
10
00
11
10
10
11
01
00
11
10
00
00
10
00
10
00
00
10
00
11
01
00
00
11
11
00
00
01
10
10
10
11
00
00
10
10
00
10
00
11
11
00
11
01
00
00
11
00
10
00
01
00
00
10
10
11
10
01
10
00
00
00
10
10
11
01
00
11
10
01
00
00
10
01
01
11
10
00
00
00
10
01
00
11
11
10
01
10
10
00
10
10
11
10
01
10
10
00
11
00
10
01
00
10
11
01
00
00
10
10
10
00
10
01
00
10
00
10
11
10
11
10
11
10
01
01
10
10
01
00
11
11
11
00
00
00
01
00
01
11
11
11
11
10
10
11
10
10
01
01
11
10
00
01
00
00
11
10
00
00
10
10
10
11
00
00
00
00
11
11
11
01
00
10
10
01
00
11
10
00
11
10
01
11
00
00
01
11
01
10
11
01
00
10
01
10
10
10
00
10
01
10
10
00
00
10
10
10
00
01
10
10
11
10
01
01
00
10
00
00
11
00
01
00
00
11
00
00
00
10
10
10
00
10
10
10
10
00
00
10
01
10
10
10
10
11
10
00
01
00
11
11
10
11
11
11
01
10
01
00
11
01
11
11
01
00
11
10
00
00
11
10
00
00
11
10
00
11
10
00
01
01
11
01
00
10
00
01
11
11
00
01
10
10
01
10
01
01
00
10
10
01
10
10
00
00
11
10
00
10
10
00
00
11
10
01
00
01
00
11
01
01
11
11
10
00
00
10
11
00
11
00
11
00
00
11
10
00
10
11
00
10
10
00
00
10
00
01
01
10
01
00
10
10
00
11
10
00
00
00
10
00
01
10
00
01
00
01
10
10
10
10
01
10
01
11
11
00
10
00
00
01
10
11
01
10
01
01
00
00
01
00
10
00
10
11
00
00
10
00
10
10
00
00
10
10
10
01
10
10
00
10
00
00
10
01
10
11
10
10
11
10
11
01
00
11
00
10
10
00
00
10
00
00
00
00
10
00
10
00
01
10
10
11
10
00
10
10
00
01
00
10
01
00
10
01
00
00
00
11
10
11
11
10
10
00
10
10
00
01
01
10
11
00
01
10
10
01
10
01
00
10
10
00
01
10
10
00
00
10
10
01
11
00
11
00
11
01
00
01
00
01
10
10
01
01
11
11
10
00
10
00
10
10
00
00
01
10
10
01
00
11
10
10
11
00
10
01
00
00
10
01
00
00
00
10
10
00
10
10
10
01
10
01
10
10
10
10
11
01
00
10
10
00
00
01
11
11
11
00
00
11
00
00
00
10
11
00
00
10
01
00
00
11
00
01
10
11
00
10
00
00
00
11
00
00
10
11
01
11
11
10
11
10
10
00
00
10
10
11
10
10
11
00
00
00
10
10
11
00
00
00
11
00
10
00
01
11
10
00
11
00
00
00
00
11
10
10
01
01
10
11
01
11
00
00
11
10
00
01
00
00
10
10
11
10
10
00
11
10
00
00
11
01
00
01
10
11
10
10
11
01
01
10
10
01
10
01
10
10
10
10
00
11
11
00
01
10
00
00
00
11
10
01
01
00
01
10
10
00
10
00
00
00
10
10
00
01
10
11
00
10
10
10
00
00
01
00
01
10
01
11
10
00
10
00
00
00
00
11
10
00
00
10
00
10
01
01
10
00
01
10
10
01
11
10
01
00
10
10
11
11
00
11
00
10
10
10
10
11
10
01
00
00
11
10
10
00
10
11
10
01
11
00
00
10
10
01
00
10
00
11
11
01
01
10
01
00
11
01
00
10
10
01
10
11
10
00
10
10
01
10
01
01
10
11
11
00
00
11
10
01
00
10
01
10
00
10
10
01
00
10
10
00
01
10
00
01
00
00
10
00
01
11
10
10
10
10
11
10
11
00
11
10
01
00
11
10
00
01
00
10
10
00
00
10
11
10
10
00
10
10
00
10
10
10
11
11
10
00
00
10
11
01
00
00
11
10
00
00
10
10
10
00
00
01
00
10
10
10
00
00
01
01
10
10
00
00
01
10
10
00
00
00
10
10
00
10
00
10
01
00
10
11
10
00
10
01
00
00
00
01
00
10
01
00
10
11
00
10
11
00
11
10
00
00
00
10
10
01
00
10
00
10
01
00
00
01
10
01
00
10
10
10
01
01
01
00
11
10
00
10
10
10
10
01
01
11
10
10
10
00
10
01
11
00
00
10
00
10
10
10
10
01
10
11
00
10
10
00
00
00
01
10
10
10
10
11
01
11
10
11
00
00
10
01
00
00
00
11
11
01
10
11
10
10
01
01
11
00
10
11
11
10
00
00
10
11
00
10
10
10
00
10
10
00
00
10
00
10
01
00
01
10
10
10
11
10
10
01
01
11
10
01
10
10
00
10
00
01
10
10
00
00
10
00
01
00
00
00
11
10
11
11
11
00
00
00
00
10
01
11
11
00
00
11
00
11
01
00
11
11
00
00
11
00
01
10
10
01
00
10
11
11
10
01
11
10
11
00
00
01
11
00
01
10
10
10
01
10
01
01
10
10
11
10
00
10
00
10
00
10
10
11
11
01
01
11
00
01
00
11
00
01
11
10
01
00
00
00
11
10
00
10
11
00
10
01
00
01
00
01
10
00
11
10
01
01
11
11
10
11
00
10
10
01
00
10
10
01
11
11
00
00
00
10
01
00
10
11
01
10
10
10
00
10
00
10
00
00
00
01
10
01
00
00
00
10
00
10
10
00
00
00
01
10
01
10
10
00
00
00
10
00
00
10
00
10
10
10
01
10
11
01
10
10
00
11
10
00
00
11
01
00
00
00
10
10
11
00
00
00
01
00
10
01
01
01
11
01
10
01
01
10
10
00
10
01
00
10
01
10
00
00
10
00
11
01
00
11
10
00
00
11
11
10
01
00
11
10
00
01
00
00
11
10
00
11
10
00
10
01
00
10
00
11
00
11
10
00
11
10
00
01
10
00
01
10
10
00
00
10
01
00
11
11
00
10
11
00
00
10
10
00
11
10
00
11
01
10
10
11
10
11
11
01
11
11
00
00
11
11
10
10
01
10
11
00
00
10
00
10
00
10
01
00
10
11
10
00
00
11
00
01
00
11
01
10
10
00
10
11
00
10
00
00
10
11
00
01
00
10
11
10
10
11
10
00
11
01
10
10
11
00
01
10
10
10
10
11
01
10
10
10
01
10
00
01
00
10
10
00
10
11
00
11
01
10
11
11
01
10
00
00
00
00
01
10
11
10
00
10
10
01
10
11
00
00
10
01
10
10
00
00
10
00
01
10
11
00
00
00
10
10
10
00
00
10
11
01
00
11
00
00
00
11
10
11
10
00
00
10
00
00
00
10
10
01
10
10
11
00
01
00
11
10
00
01
10
11
11
11
01
00
11
10
00
00
00
00
00
00
11
10
10
00
10
11
10
10
01
10
11
00
10
10
10
00
00
01
10
11
00
11
10
00
00
10
10
10
00
00
01
10
00
01
11
01
00
00
10
10
11
00
01
10
00
11
00
00
10
10
00
01
10
11
10
01
10
10
10
01
10
01
10
10
00
10
01
00
00
00
11
00
10
00
01
01
10
10
00
10
10
10
10
00
00
10
10
00
01
00
00
10
01
00
00
10
11
00
11
11
00
01
01
00
10
10
10
10
11
01
00
00
01
01
11
01
01
10
10
10
10
10
01
00
10
01
00
00
00
10
10
10
01
01
00
10
10
00
01
00
10
10
00
00
01
11
00
00
10
10
11
00
00
00
00
11
10
01
10
10
00
01
01
00
00
10
01
00
10
10
11
00
11
01
10
01
00
00
10
00
00
00
01
10
00
11
00
10
00
11
00
10
11
00
10
11
00
00
00
00
10
10
10
00
10
10
10
10
10
10
01
10
11
01
01
01
11
11
11
01
00
11
00
00
11
10
10
10
11
01
11
11
01
10
01
11
00
00
10
10
10
10
01
00
10
00
00
10
00
01
10
00
10
10
00
11
01
00
00
10
11
11
00
00
00
10
00
10
10
10
01
01
00
01
00
00
01
00
00
10
00
00
10
10
01
00
10
10
11
11
00
10
10
10
11
11
10
11
10
01
01
00
10
10
10
00
10
00
00
00
00
10
10
00
11
00
10
00
01
10
10
00
10
00
00
00
01
10
00
10
00
00
10
10
00
00
10
00
11
00
01
10
10
00
00
01
10
11
00
00
01
10
10
11
00
01
10
10
11
00
01
00
10
10
00
10
10
10
10
10
10
11
10
10
01
00
10
10
10
01
10
11
11
11
11
11
10
00
10
00
00
11
11
00
10
00
10
10
00
00
01
10
01
10
01
10
00
11
10
00
00
01
11
00
11
00
00
00
11
11
11
00
00
00
11
00
00
10
10
01
11
11
10
11
00
01
00
10
11
11
01
01
01
10
10
10
00
00
11
11
00
01
00
01
11
10
10
10
01
01
10
10
01
00
10
00
00
11
11
10
00
10
11
10
10
01
10
11
01
01
00
11
10
00
00
11
00
01
10
01
10
11
00
10
00
10
00
00
11
00
00
11
00
00
01
01
10
00
11
10
00
10
01
00
10
01
10
10
00
10
00
00
10
01
11
01
10
10
01
01
10
11
10
00
10
01
00
11
11
00
00
10
10
00
01
10
00
00
11
10
01
01
00
10
10
11
00
00
11
10
00
10
00
01
10
01
00
00
00
11
00
00
11
10
11
00
11
11
10
10
10
01
00
11
11
00
01
10
11
01
00
10
10
00
00
00
01
00
10
11
10
10
00
10
11
11
00
01
11
10
00
10
01
11
00
11
11
11
10
01
00
00
11
00
11
10
10
00
10
11
00
11
10
11
01
00
10
10
00
00
00
00
01
00
00
00
10
10
00
01
10
11
00
11
00
00
00
00
10
10
11
00
01
11
11
00
10
00
00
01
11
11
00
11
01
00
10
10
01
01
00
00
00
11
10
10
10
10
00
00
11
10
11
10
10
10
00
01
10
00
00
10
10
11
01
10
00
00
10
11
00
10
00
00
10
10
10
10
10
10
00
00
01
01
00
10
00
00
10
00
10
00
11
01
01
00
01
11
00
10
01
10
00
01
10
10
10
01
00
11
00
00
00
10
11
01
01
10
11
00
10
10
10
01
00
11
01
00
00
10
00
10
11
00
10
10
11
10
01
11
00
10
00
01
10
10
01
10
00
11
00
00
10
00
11
10
01
10
11
10
10
11
00
01
00
10
10
10
10
10
00
00
11
00
01
10
10
10
00
00
10
01
01
10
00
01
00
01
00
10
10
01
00
10
10
01
01
10
00
00
10
00
00
10
10
00
01
10
10
01
10
11
11
00
00
10
10
01
01
10
00
00
00
10
01
00
01
10
00
10
10
10
11
00
10
00
00
00
00
11
00
10
10
10
00
00
00
10
00
00
11
11
10
00
00
00
10
10
11
00
01
10
10
01
00
11
11
11
00
01
11
11
11
01
01
00
10
10
01
01
11
11
10
11
10
00
10
00
00
01
10
01
00
10
00
10
00
10
00
01
10
10
00
11
10
01
00
11
00
11
00
01
00
11
11
00
11
10
10
00
10
10
00
00
11
10
00
11
00
10
00
10
00
01
10
01
10
00
10
11
00
11
10
00
10
10
00
10
10
00
10
10
10
10
01
00
00
10
10
10
00
01
10
00
10
01
10
11
01
10
00
01
00
11
00
00
10
11
00
01
11
00
00
10
10
00
10
11
10
10
00
01
10
10
00
00
10
11
01
00
10
11
00
01
10
11
00
10
10
10
10
01
10
11
00
01
10
10
00
00
10
00
11
11
11
00
00
10
10
00
00
11
00
10
01
10
10
00
00
10
00
01
10
10
10
00
00
10
10
00
10
00
10
10
00
01
10
00
01
10
10
01
10
11
10
10
00
00
00
11
10
11
01
10
10
01
11
00
00
10
10
10
00
00
11
10
00
11
00
00
00
00
10
01
10
01
01
10
10
10
10
10
00
00
00
10
10
10
00
10
10
01
00
10
01
01
00
00
10
10
10
11
00
00
10
11
11
10
00
11
10
10
10
11
01
11
00
10
11
10
01
00
10
10
11
11
10
00
01
01
00
11
11
11
10
00
10
00
10
11
10
00
01
01
11
11
00
10
00
10
11
10
01
00
10
11
01
10
00
00
10
10
00
00
10
10
00
01
10
11
00
00
10
01
10
10
00
01
00
00
10
11
01
10
10
01
11
10
00
11
00
10
10
01
11
11
00
01
11
10
10
00
10
10
00
00
00
01
10
10
11
00
11
11
10
11
10
00
10
01
00
10
11
00
00
11
10
10
01
00
10
10
00
00
00
10
10
00
00
10
01
11
10
11
11
00
01
00
00
00
11
11
11
00
00
00
10
01
01
10
10
01
10
00
00
10
00
11
00
10
11
01
00
10
01
01
10
00
01
00
00
11
10
01
01
10
00
10
10
11
01
10
10
10
00
00
00
00
10
00
11
11
10
11
00
10
11
01
11
00
10
11
11
00
01
10
01
10
00
00
00
11
10
10
00
01
01
11
00
01
00
10
10
00
00
11
00
01
00
00
11
00
00
10
01
00
10
00
01
11
00
00
10
10
01
10
01
01
01
00
10
10
10
11
01
11
10
00
00
11
10
00
01
00
00
00
00
11
10
11
01
00
10
10
10
00
00
10
00
11
10
00
00
10
01
01
11
00
11
00
00
11
01
10
00
00
10
00
00
10
10
01
00
01
10
10
10
11
00
11
00
00
10
10
01
00
01
01
10
11
00
11
10
00
01
11
10
01
11
10
10
00
10
10
10
00
11
10
10
10
11
01
10
00
01
00
10
11
00
11
01
00
01
10
10
00
10
11
11
00
00
00
10
00
00
11
11
10
00
00
01
10
00
01
10
10
00
00
01
11
11
00
00
10
00
01
11
10
00
10
10
01
10
00
00
01
10
01
10
10
11
10
00
00
00
10
11
00
10
01
11
01
00
00
10
11
00
01
00
11
10
00
10
00
10
11
00
11
00
00
10
10
00
00
10
10
10
00
10
00
11
10
01
00
01
01
00
11
11
00
10
10
00
00
00
10
10
00
00
00
00
10
01
11
01
01
10
11
10
00
00
01
00
11
10
00
10
00
00
10
11
00
10
00
11
11
11
00
11
10
10
01
11
01
01
11
11
00
10
01
00
00
11
10
01
00
11
10
00
10
00
10
10
01
00
00
11
10
00
10
11
00
00
00
01
10
10
11
00
00
01
10
10
00
10
01
10
11
10
00
01
10
01
01
10
10
10
00
10
00
11
10
00
00
01
00
01
01
01
10
11
00
00
00
10
10
01
00
10
10
01
01
01
01
10
11
00
11
11
00
00
11
00
00
01
10
11
00
10
10
01
00
10
11
00
00
10
01
10
00
00
00
11
10
01
10
10
00
01
00
11
10
01
10
11
10
10
00
00
11
01
11
01
10
10
11
11
01
00
10
01
00
01
00
11
11
01
00
11
00
00
00
01
10
11
00
10
00
10
10
10
00
01
00
10
10
11
10
00
01
10
10
01
00
10
10
01
11
10
10
10
11
00
00
01
10
00
10
10
01
11
00
01
10
10
11
10
10
00
11
10
00
00
10
10
00
10
00
00
10
00
11
00
01
01
00
10
00
01
01
00
01
10
00
00
10
11
00
00
11
11
00
00
00
11
00
01
00
00
10
10
00
00
10
10
11
01
00
01
01
00
00
10
00
01
00
10
10
01
01
10
00
10
00
00
01
00
10
00
00
00
00
00
00
01
00
10
10
10
01
10
01
00
10
00
11
10
00
10
00
01
01
01
11
00
00
11
00
00
01
10
10
00
00
10
00
00
10
10
00
10
11
11
00
10
01
00
01
11
10
00
11
10
00
00
11
11
10
01
11
10
00
01
00
00
00
10
10
00
11
10
11
11
01
01
00
10
11
00
00
11
10
00
10
00
00
10
10
10
00
10
00
00
10
10
10
11
00
00
10
10
10
01
10
10
00
00
10
10
00
00
00
10
10
10
11
00
10
10
00
00
01
10
01
10
10
10
10
00
00
10
10
00
10
10
10
10
10
11
00
10
10
00
10
00
00
00
11
11
01
10
11
10
00
10
01
00
10
10
10
10
00
11
00
10
11
01
00
10
00
01
10
11
00
01
00
10
00
01
10
10
10
11
00
01
11
01
01
11
10
00
01
10
00
00
10
10
01
00
10
00
00
00
00
00
10
01
00
10
11
11
01
11
00
00
10
00
10
01
01
00
00
10
01
01
00
10
10
01
11
01
00
10
10
00
11
00
10
10
11
00
00
10
00
10
11
00
11
11
01
01
00
00
10
10
01
00
10
10
00
00
00
00
10
10
00
10
00
10
00
01
00
00
11
10
00
00
00
10
00
00
11
00
01
11
10
01
10
00
11
10
01
11
11
00
00
10
10
10
01
10
11
01
01
10
00
11
01
11
10
00
00
10
00
01
11
11
00
00
01
01
01
01
01
11
10
10
10
01
00
00
11
10
00
11
10
10
01
00
11
10
01
10
00
10
00
01
11
10
00
00
10
00
01
01
10
01
01
10
01
10
00
00
00
10
01
10
10
00
10
10
01
01
01
00
11
00
11
00
00
10
10
10
00
11
01
01
11
00
11
10
11
00
11
11
01
01
11
01
01
10
10
01
00
10
10
00
00
10
00
10
00
10
00
01
11
00
11
10
10
11
00
10
10
00
00
01
11
10
10
11
01
00
10
01
00
11
00
01
10
11
01
10
00
11
10
01
10
00
10
00
00
01
11
10
00
10
01
10
11
00
10
11
00
10
10
10
00
01
00
11
10
00
00
10
10
11
10
01
00
10
00
00
01
00
00
10
00
00
10
10
11
10
00
10
11
00
00
00
01
10
00
10
10
00
11
00
11
00
01
00
01
00
11
01
00
11
10
00
01
01
10
10
01
10
11
00
11
00
01
00
01
10
10
00
00
10
10
01
10
00
10
00
11
10
01
11
01
11
00
00
10
00
01
10
10
00
00
00
01
00
11
00
00
01
00
10
10
10
01
10
10
10
10
00
01
10
11
01
01
00
00
10
00
00
10
11
00
10
11
01
01
01
11
10
00
00
10
11
00
01
00
11
11
01
01
00
10
10
01
11
01
01
00
00
11
00
00
00
11
10
10
00
10
00
11
10
10
10
10
10
00
00
00
10
10
10
01
11
00
00
10
00
10
10
01
11
00
11
10
00
01
00
10
00
00
10
10
10
00
00
11
00
00
00
10
10
11
10
10
00
00
00
10
00
00
10
10
11
10
11
00
10
01
10
11
00
11
10
01
10
01
11
10
00
00
10
10
00
11
00
10
10
01
00
00
10
10
10
00
11
00
10
00
10
00
00
11
10
10
00
00
10
11
00
10
00
00
00
11
01
01
11
00
11
00
01
10
10
11
00
00
11
11
10
11
00
00
10
00
00
10
00
01
00
10
10
00
00
10
11
00
01
00
11
10
11
10
00
01
10
11
10
10
00
01
10
01
01
11
10
01
00
00
01
10
00
00
11
10
00
01
10
01
00
01
00
01
11
00
11
10
01
00
10
01
10
11
10
01
00
10
00
10
00
00
10
00
11
10
00
10
10
00
00
01
10
00
11
01
10
10
10
00
00
01
11
10
10
10
01
00
01
00
11
10
01
00
11
10
00
01
10
10
00
11
10
11
10
00
00
01
00
01
01
11
11
11
01
11
00
10
10
00
01
10
11
00
00
00
10
10
10
10
01
10
11
00
10
10
10
10
01
01
11
11
01
11
00
01
11
11
01
00
01
10
01
00
10
10
01
11
10
11
00
10
00
10
10
10
10
11
00
00
00
10
00
11
00
00
11
11
10
10
10
10
10
00
00
00
01
01
10
10
10
00
10
00
10
10
01
01
00
10
00
11
10
01
00
11
11
00
10
10
00
00
01
10
11
00
10
10
11
00
01
10
10
10
10
11
00
01
11
11
00
10
00
10
11
00
01
00
00
00
10
11
10
11
00
00
10
00
10
11
00
00
00
10
11
10
10
00
10
10
10
00
10
01
10
11
11
00
10
00
01
01
10
10
00
11
10
11
00
01
10
01
00
01
10
01
10
10
00
00
10
11
00
01
10
11
00
00
01
11
00
00
11
10
11
01
00
01
10
10
10
00
01
11
10
01
01
00
11
11
00
01
00
11
10
00
01
00
00
10
11
10
11
00
00
00
00
11
10
00
01
10
10
00
10
10
01
01
10
00
10
11
11
11
00
10
10
01
11
00
00
11
10
10
11
00
10
10
10
00
01
00
00
01
11
00
00
10
11
00
00
00
10
10
00
00
00
01
10
11
00
11
00
00
11
11
01
01
00
11
00
10
10
11
00
01
10
10
10
00
11
00
01
10
00
11
10
00
00
11
01
00
10
10
10
10
00
10
00
01
00
00
10
11
10
10
10
01
01
01
10
01
10
00
10
10
11
00
00
10
10
10
00
10
00
00
00
01
10
10
11
01
00
10
00
11
00
11
10
00
01
10
10
10
00
00
10
01
10
10
11
00
11
00
00
10
10
00
10
10
00
10
10
00
10
10
10
11
11
00
00
00
01
00
10
00
01
11
10
10
10
10
11
00
10
01
00
11
10
10
01
10
10
10
10
01
00
11
11
11
01
10
00
11
00
00
01
00
10
00
10
00
00
11
00
10
00
11
11
00
01
00
00
11
10
00
00
10
11
10
00
10
10
00
00
10
10
11
01
01
10
01
11
00
11
10
00
00
01
10
00
00
11
01
11
10
00
00
10
11
00
11
11
00
00
10
00
00
00
10
11
10
00
01
00
11
00
01
01
00
10
00
11
11
10
11
11
01
00
00
00
01
00
10
11
10
11
01
00
00
11
11
11
00
01
10
01
00
10
00
01
10
10
11
00
10
11
00
10
10
10
11
00
10
00
00
10
10
00
10
10
10
00
01
10
10
10
10
00
11
00
11
10
10
00
10
00
00
00
10
11
01
00
00
00
11
01
10
10
00
00
10
10
10
00
00
10
00
10
00
10
10
10
10
00
01
00
10
00
01
01
00
10
10
10
01
10
00
00
01
11
00
00
00
11
10
01
10
11
10
10
01
00
00
10
00
01
00
00
01
10
10
10
10
01
10
11
00
00
11
00
01
10
10
00
10
00
10
10
01
11
10
01
10
10
11
11
00
01
00
11
11
00
10
11
00
01
10
10
01
00
10
00
01
10
11
00
00
00
10
00
01
10
11
10
01
01
00
10
00
01
10
10
00
10
00
10
11
11
01
11
10
00
10
10
01
00
11
10
00
00
00
11
10
01
00
10
10
11
01
00
00
00
10
00
00
01
10
10
10
10
10
11
01
10
01
00
10
11
10
00
00
10
10
01
01
10
01
00
11
00
00
10
11
11
00
00
10
00
10
01
00
10
11
00
11
01
11
01
10
01
10
11
01
11
00
00
00
11
00
00
10
11
10
11
10
00
00
11
10
00
01
10
00
00
00
11
11
00
00
00
00
10
00
10
10
00
11
00
10
11
01
00
01
00
01
10
10
00
10
00
10
00
01
01
01
10
01
00
10
00
00
10
10
00
00
10
01
11
00
10
01
01
00
01
10
10
01
00
10
00
00
00
10
11
00
10
10
10
00
01
00
00
10
10
10
00
10
01
11
11
00
01
11
11
00
10
00
01
01
00
10
11
10
10
01
01
10
10
00
01
10
11
00
10
01
00
10
11
10
01
10
00
00
00
00
00
00
10
10
11
00
11
11
01
00
00
00
10
10
10
10
00
00
11
00
01
00
10
00
00
00
11
00
01
10
10
00
00
00
10
11
10
01
00
10
10
10
00
00
11
10
11
00
10
01
00
00
11
10
00
11
10
00
00
11
01
00
10
11
00
01
01
11
10
10
10
10
00
00
00
00
10
00
11
01
10
10
10
10
00
01
01
11
10
11
01
00
00
01
11
00
00
10
10
01
01
10
01
10
11
00
01
00
10
10
01
00
11
10
10
00
10
10
11
00
01
00
11
10
01
01
01
10
10
11
10
10
01
00
11
11
11
10
10
10
10
11
01
01
10
10
00
01
01
11
10
00
00
11
10
01
10
10
01
10
01
10
10
00
11
11
00
10
10
01
00
11
10
01
00
11
00
01
10
11
10
01
00
10
10
00
00
10
01
00
11
00
01
11
01
10
01
10
11
10
01
00
10
00
00
10
10
10
10
10
10
11
11
11
00
10
01
00
00
10
10
00
10
01
00
10
10
00
11
00
10
10
00
00
01
01
10
10
10
00
10
00
00
00
01
11
10
10
11
00
00
11
10
10
00
01
00
10
10
00
01
00
10
00
00
10
00
10
01
10
10
00
01
00
10
01
00
11
10
11
10
10
00
00
00
11
10
00
00
00
10
11
10
00
00
11
10
11
01
10
00
01
01
10
00
10
00
00
10
11
10
00
00
01
00
00
00
10
01
01
00
10
10
10
00
01
10
01
01
00
00
10
00
10
01
10
00
10
10
00
10
00
00
01
10
10
00
00
10
00
01
10
10
00
01
10
00
11
01
11
11
10
01
10
11
01
00
10
10
01
01
11
11
10
01
11
11
11
01
01
11
10
00
01
10
10
01
00
11
10
00
01
00
10
11
11
01
01
10
11
11
00
10
10
00
00
01
10
10
10
10
10
01
00
10
00
00
10
10
11
00
10
00
01
00
10
01
00
00
10
00
00
11
00
01
01
00
01
10
01
01
10
10
10
00
00
11
10
00
11
10
11
00
01
11
11
01
11
10
01
01
00
11
10
01
11
00
10
10
00
11
01
00
11
11
11
01
00
00
00
01
10
11
00
01
11
00
00
10
00
00
10
10
11
01
00
11
01
10
10
00
10
00
10
10
01
00
10
10
00
10
10
00
00
00
01
00
11
11
10
10
10
01
01
10
00
10
11
00
00
00
00
10
11
00
10
01
00
00
10
10
00
00
11
01
00
10
10
01
00
00
11
00
01
00
00
10
00
00
11
10
01
00
11
01
01
01
10
00
10
11
00
11
00
01
10
10
01
00
10
01
00
10
00
11
00
01
10
01
01
00
00
11
00
00
10
01
00
01
00
10
10
00
01
10
10
00
10
11
00
00
10
00
01
10
11
00
10
00
00
10
00
10
10
01
01
11
11
00
00
11
10
11
10
11
00
10
11
10
00
00
00
11
10
10
10
00
00
00
01
10
00
10
10
00
01
10
10
10
00
00
10
01
11
00
10
01
10
00
00
11
10
11
00
00
00
10
00
00
00
10
10
10
00
10
10
01
00
10
11
11
00
10
10
01
11
01
10
10
10
11
10
00
01
11
00
10
10
01
10
00
10
11
01
00
10
00
10
00
11
10
01
00
01
01
01
01
11
11
01
10
11
10
00
00
10
10
00
01
00
00
10
10
11
10
11
00
00
01
10
00
00
01
11
01
00
11
10
00
10
00
00
11
11
01
10
10
01
01
00
10
00
01
11
10
11
01
10
10
01
10
00
00
11
11
10
11
10
00
10
10
00
10
10
00
10
11
00
11
10
10
10
00
10
10
11
00
01
10
10
01
11
11
00
01
00
11
00
10
10
00
00
10
10
10
01
01
10
01
01
10
11
00
11
00
01
10
00
10
01
10
10
01
11
00
00
00
00
11
11
11
01
01
10
10
00
00
10
00
00
00
11
11
11
00
10
10
10
11
01
01
11
01
00
10
00
01
10
10
01
10
10
10
01
10
10
01
00
00
11
10
11
10
10
00
11
10
00
10
10
01
01
10
00
00
10
00
10
00
10
10
10
10
11
10
00
10
00
01
10
10
01
10
00
10
00
01
10
11
00
00
01
11
11
00
10
10
11
01
01
10
01
00
10
10
01
11
10
00
00
01
00
10
11
11
01
00
10
10
11
00
10
00
00
10
10
00
01
10
10
10
10
01
00
10
10
11
10
10
10
01
00
11
10
10
00
00
11
00
11
10
11
00
00
10
10
01
00
00
10
10
11
00
10
10
01
11
00
00
00
01
10
01
11
11
00
00
10
10
00
01
10
10
01
01
10
10
01
10
10
01
01
01
11
01
10
10
10
00
00
11
10
00
10
00
01
10
10
00
00
10
01
00
00
01
01
10
00
00
00
10
10
00
11
10
01
00
01
00
00
10
00
00
10
10
00
10
10
00
10
11
10
10
00
01
11
11
10
00
00
11
01
01
00
11
10
00
00
10
10
10
11
00
11
10
00
01
00
00
10
11
00
00
01
01
01
00
10
10
10
01
01
01
11
00
10
11
00
00
10
00
10
10
00
00
01
00
01
11
00
00
00
01
00
10
11
00
11
10
10
00
01
00
10
10
00
00
10
00
10
10
10
01
00
11
11
00
10
01
00
10
01
10
00
10
00
00
11
10
00
00
01
00
00
11
10
01
01
11
10
10
01
11
10
00
01
10
11
00
10
11
10
00
00
10
11
10
11
00
11
10
00
10
10
10
00
11
10
10
10
11
01
01
10
01
00
01
01
00
11
10
10
11
00
00
11
10
10
11
00
11
10
11
01
00
10
10
11
01
00
11
10
10
00
00
00
10
10
00
10
10
01
10
10
10
10
11
10
01
01
00
10
00
01
11
00
10
00
00
10
10
00
10
10
01
00
10
11
10
01
10
00
00
11
00
10
10
01
10
10
10
01
10
01
00
00
00
10
10
01
10
11
10
00
10
10
10
00
00
10
10
00
01
10
10
01
00
00
00
01
00
10
11
10
00
11
01
01
10
00
10
10
10
11
00
01
00
00
10
10
10
10
00
00
01
10
01
10
10
10
01
10
00
10
10
01
00
11
00
00
10
01
10
01
10
10
10
00
00
00
11
11
01
00
00
10
01
00
10
10
10
10
10
10
00
01
10
01
10
01
11
00
00
01
11
10
10
00
00
10
00
00
11
10
00
10
10
10
00
00
00
00
11
10
10
00
00
10
10
00
10
01
00
10
01
00
10
10
11
10
00
00
00
11
01
00
00
00
11
01
10
10
00
10
00
10
10
11
10
11
10
00
10
00
00
00
00
01
00
00
01
10
10
01
10
10
11
00
10
10
01
00
00
00
10
11
00
01
01
11
11
01
00
10
00
00
01
01
10
00
01
00
00
00
10
10
01
11
01
10
10
00
11
00
01
11
01
01
10
10
00
10
01
01
10
00
01
00
10
10
11
01
10
00
01
00
10
10
01
10
10
00
10
10
00
10
00
10
01
01
01
10
00
10
00
01
10
00
10
10
01
10
10
11
01
11
10
00
00
10
10
01
11
10
11
00
01
00
00
10
10
00
01
10
11
00
00
00
00
10
10
10
00
10
10
00
10
01
11
11
00
10
11
10
00
10
10
00
00
00
10
11
00
11
11
10
01
11
00
00
10
11
00
01
11
11
00
01
00
10
10
10
01
00
11
10
10
00
00
01
01
00
10
11
10
11
00
00
01
10
10
00
10
01
10
10
00
11
10
11
01
00
11
10
00
00
00
11
00
10
10
01
00
10
00
10
10
10
10
01
11
11
00
10
01
10
10
00
10
11
00
10
10
10
00
00
10
10
10
11
10
11
10
01
00
01
11
10
00
00
10
10
10
11
11
11
11
10
01
01
10
01
00
10
00
11
10
01
01
10
01
10
10
10
00
00
10
11
00
10
00
11
00
10
00
00
10
00
00
10
00
01
11
00
01
11
11
10
10
01
00
10
11
10
00
01
11
10
01
00
01
11
11
00
11
10
00
01
01
00
11
00
11
10
01
10
00
00
10
00
10
11
00
11
01
11
00
00
00
00
10
10
11
00
10
00
11
00
00
00
11
11
10
01
00
01
00
11
00
00
00
01
10
10
10
01
10
11
10
01
11
10
01
10
00
00
10
11
01
00
11
00
00
00
00
11
00
00
10
00
10
00
10
10
11
10
10
10
11
11
10
10
10
11
11
00
00
11
00
00
10
11
01
10
00
00
00
11
11
00
10
10
00
01
10
10
00
00
11
11
00
00
10
10
00
00
10
00
01
10
00
10
10
10
10
10
00
11
01
11
10
00
00
01
11
11
00
00
10
11
01
00
10
10
11
01
11
10
10
11
00
10
10
01
10
01
00
10
00
10
01
10
10
01
00
11
00
01
11
11
11
10
10
10
00
01
10
00
11
11
11
11
10
00
10
11
10
11
00
00
00
01
10
10
00
00
00
10
00
01
11
10
00
11
00
11
01
00
10
11
10
01
00
10
00
00
01
01
10
10
10
10
00
10
11
00
10
11
01
11
00
00
11
10
11
00
01
10
01
00
11
00
01
00
11
00
01
10
01
10
00
11
10
10
00
00
00
00
11
10
01
00
00
10
00
10
01
00
11
11
00
01
00
10
11
11
00
10
00
00
10
10
11
11
00
01
00
01
11
10
10
01
00
10
10
10
00
11
11
00
10
00
00
11
10
10
01
00
10
10
01
01
10
00
00
11
10
11
10
10
10
00
00
11
00
00
11
01
01
10
10
00
00
11
10
00
00
10
00
11
10
10
01
10
10
10
11
10
10
10
00
10
10
01
01
00
10
11
01
01
10
11
01
00
01
00
10
10
11
00
01
00
10
10
01
10
01
01
01
11
00
00
11
01
11
11
10
00
00
11
01
10
10
00
11
01
01
10
10
01
00
11
10
01
00
10
10
10
00
00
10
11
00
00
10
10
10
00
10
01
00
10
00
11
10
10
10
10
01
10
10
00
01
10
10
11
10
00
11
01
00
10
10
00
11
11
00
11
00
10
11
11
01
00
11
11
00
00
11
00
00
11
01
11
11
01
00
01
10
00
01
10
10
11
10
00
11
10
00
10
10
11
10
00
11
10
10
00
11
01
00
00
00
10
01
01
10
01
01
10
10
00
01
10
10
01
01
01
00
00
00
11
10
10
00
00
10
10
10
10
11
11
10
00
00
01
10
10
00
01
00
00
11
10
00
10
10
10
10
11
00
00
11
00
10
10
10
11
10
00
00
01
11
10
10
00
00
01
11
10
10
00
10
01
10
11
01
01
01
11
01
00
01
10
01
10
11
00
01
10
10
00
01
11
00
10
11
00
00
11
00
10
10
00
01
01
10
10
10
00
00
00
10
10
00
01
01
00
00
01
10
11
00
01
10
11
00
10
11
10
00
01
00
11
10
10
00
11
01
00
11
11
01
11
01
00
00
10
11
11
01
00
10
10
11
00
00
11
01
10
10
00
10
10
00
00
00
11
01
10
00
00
11
00
00
10
10
10
01
10
10
10
01
10
00
00
00
11
00
10
10
01
00
11
01
10
10
01
01
10
00
11
10
00
10
11
00
00
00
01
00
10
00
10
00
11
11
10
10
00
01
10
11
11
01
11
10
00
01
10
01
00
00
10
11
10
01
01
11
10
10
01
11
11
11
00
00
00
11
11
10
00
00
10
00
01
00
10
11
01
01
10
11
00
01
00
01
01
10
10
00
01
10
00
00
11
10
10
00
01
01
10
10
00
01
01
10
11
10
10
00
11
10
00
01
10
10
10
10
01
10
11
10
10
01
11
01
10
00
00
00
11
11
11
01
00
10
10
10
10
00
00
11
00
01
11
10
10
10
10
01
10
10
00
00
10
10
10
01
10
01
10
00
00
00
01
01
11
10
10
00
01
10
01
01
10
00
10
01
00
10
10
01
00
10
10
10
10
11
10
00
01
10
01
10
00
10
10
00
00
01
00
10
00
10
10
00
01
11
00
00
10
01
10
00
00
11
01
10
11
11
01
00
10
01
01
10
10
10
11
10
01
00
00
00
10
10
01
00
01
10
11
00
01
10
10
10
00
01
10
11
00
00
10
00
11
00
00
10
10
01
00
10
00
01
11
00
00
10
00
01
10
01
01
10
01
00
10
00
10
00
11
00
00
10
10
01
10
11
00
11
11
01
00
10
10
01
11
11
00
10
11
10
01
00
10
11
11
00
01
00
10
10
00
10
01
10
11
00
10
00
01
11
10
00
10
00
11
00
00
10
11
10
11
10
11
11
00
00
00
01
11
00
00
00
11
00
00
10
00
10
10
00
11
00
00
10
10
10
10
01
00
00
01
10
00
11
10
11
10
00
11
10
00
01
00
01
00
11
10
11
11
10
10
00
00
11
00
01
10
00
00
01
10
00
00
11
00
01
11
10
00
11
00
00
10
10
10
00
10
10
10
00
00
10
00
00
01
00
11
10
11
00
10
10
00
01
10
01
10
00
00
11
01
10
00
00
00
10
00
01
10
00
00
00
11
00
11
00
01
01
00
01
10
10
00
11
00
01
00
11
10
11
00
00
00
11
00
00
10
10
00
00
10
10
11
00
01
10
00
01
10
01
10
11
11
10
00
10
00
00
01
10
00
00
00
01
00
00
00
00
10
01
00
01
10
10
10
10
01
10
01
00
11
11
00
10
00
01
11
00
00
00
01
10
11
10
00
00
11
10
11
10
00
00
01
01
10
00
00
10
00
00
11
00
11
11
00
00
00
11
11
10
10
01
00
10
11
00
11
10
01
11
00
01
10
00
00
00
01
10
00
01
10
11
11
01
10
11
01
11
10
01
10
00
01
10
01
00
10
10
10
01
10
01
00
10
00
01
10
10
00
01
10
11
00
00
00
00
11
00
11
10
10
00
00
00
00
11
10
00
00
00
10
01
11
10
00
00
00
11
10
00
01
00
01
11
00
10
11
00
00
00
10
11
00
00
10
00
01
10
00
10
00
10
10
10
01
11
00
01
10
10
10
10
10
01
01
01
10
01
10
10
01
01
01
10
10
00
10
01
10
01
00
10
10
10
00
10
00
00
01
10
00
00
01
10
11
10
11
11
11
01
11
11
00
01
01
10
10
01
00
11
11
00
00
01
10
11
00
01
10
10
11
10
00
00
11
10
00
00
10
00
01
11
01
01
11
00
10
10
01
10
00
01
11
00
00
01
10
00
10
10
01
10
00
11
10
01
10
00
10
00
10
10
00
01
10
11
01
00
00
01
10
00
01
11
10
00
01
00
10
10
00
00
10
11
00
11
10
00
10
00
10
01
00
11
00
11
01
00
00
10
00
00
10
10
11
10
00
10
11
00
00
10
00
10
10
00
00
01
10
01
00
11
00
11
10
10
00
00
10
11
10
00
10
01
00
10
00
10
01
11
11
00
10
00
11
11
00
11
10
10
01
11
11
11
01
01
11
01
00
10
10
00
01
10
10
01
00
10
00
00
00
01
10
10
10
10
10
00
10
10
00
00
10
11
00
00
10
00
10
01
01
00
01
01
10
10
10
10
01
01
10
00
01
10
10
10
01
00
00
00
00
10
00
00
10
00
00
00
00
10
01
00
00
10
11
10
10
00
10
01
10
10
01
00
10
00
10
11
00
10
00
01
11
10
01
00
01
10
11
00
01
10
10
10
10
10
10
11
00
01
00
00
01
10
11
00
11
10
01
10
10
11
01
11
11
10
00
10
00
11
10
01
00
10
11
01
01
10
00
00
00
01
01
11
10
01
01
10
11
00
01
10
11
01
00
11
11
00
01
10
10
00
10
10
01
01
10
10
00
10
10
00
11
00
01
00
00
10
10
00
11
10
00
10
10
01
10
10
00
10
10
10
00
01
11
10
00
00
10
10
00
00
11
10
01
00
00
00
01
10
00
01
10
11
01
01
10
00
00
10
00
00
00
10
01
10
10
00
00
10
00
00
00
10
10
00
10
10
10
10
10
00
10
10
00
11
10
00
10
00
00
00
00
10
11
00
00
10
11
00
11
10
00
10
10
00
11
10
00
00
11
11
00
10
10
01
00
01
10
01
00
01
10
10
00
10
11
00
11
10
10
00
11
01
10
01
01
10
01
00
11
10
00
10
11
10
00
11
10
00
00
00
10
00
11
10
01
00
01
10
11
11
00
00
10
01
00
01
10
10
00
10
00
00
11
10
10
11
00
11
10
00
10
10
00
11
01
01
10
10
11
00
00
01
00
11
11
11
10
00
00
10
10
00
10
10
00
01
11
10
10
01
00
10
01
10
00
10
00
00
00
00
10
00
01
10
00
00
10
00
11
11
01
00
11
11
11
11
10
00
00
00
01
10
10
10
00
00
00
00
00
00
10
10
01
00
10
10
01
01
01
00
00
10
10
10
00
11
00
00
11
10
11
10
00
00
11
00
10
01
00
00
11
00
11
00
10
10
10
00
00
00
11
00
01
10
00
01
00
00
00
10
10
01
01
11
11
01
11
10
01
00
10
10
00
00
11
10
00
01
11
01
11
10
11
11
01
11
01
01
00
01
10
01
10
10
01
10
01
00
10
11
10
00
00
10
10
01
00
01
01
10
10
00
10
00
10
00
01
10
01
00
10
10
11
00
01
11
10
00
01
10
00
11
10
11
10
10
00
00
00
11
10
00
10
00
00
10
11
00
10
10
11
01
11
00
01
10
10
10
10
01
00
11
10
01
11
10
00
00
10
10
10
00
00
10
10
10
00
01
10
01
01
10
10
10
01
10
01
00
00
10
11
10
01
00
10
10
10
01
10
00
00
01
00
10
10
00
10
10
10
10
11
10
00
00
10
10
10
00
11
10
11
00
00
00
00
11
00
01
11
00
10
00
10
10
10
01
00
10
10
00
01
10
11
10
11
00
11
00
01
01
11
00
00
00
10
00
10
00
00
00
00
11
00
11
10
10
11
00
01
10
10
00
01
10
10
11
00
01
01
11
11
11
10
00
11
00
00
11
11
10
00
01
01
00
10
00
01
00
00
10
01
10
11
00
11
00
00
00
00
00
10
10
01
00
11
00
11
11
10
01
10
00
00
10
00
00
01
10
10
00
00
10
00
11
10
00
01
10
10
10
00
10
10
01
11
01
10
00
10
11
11
10
00
10
10
10
00
10
10
00
10
00
00
01
10
10
01
10
10
00
10
11
01
00
10
00
10
10
00
00
01
10
01
00
00
00
10
00
10
01
00
10
01
00
11
00
01
00
10
01
00
01
00
10
10
00
00
10
00
11
01
00
00
10
11
00
00
10
10
00
01
11
01
10
10
10
00
01
00
10
10
00
00
10
10
11
10
11
00
00
10
11
10
00
01
10
10
00
01
11
10
00
10
11
01
00
00
11
01
10
10
01
00
10
00
10
10
00
10
01
00
10
00
00
10
00
10
10
00
01
10
00
01
00
00
11
10
10
00
01
10
01
00
10
11
10
00
10
00
00
10
10
10
10
00
10
00
00
00
10
01
10
11
00
01
01
11
01
01
10
11
00
11
11
10
00
00
00
10
00
00
00
10
10
11
10
11
00
01
00
01
11
00
01
00
01
01
10
01
11
10
01
00
10
10
10
00
01
00
00
10
00
11
10
10
11
10
10
00
10
10
01
10
00
10
00
00
00
00
10
10
00
01
01
11
11
10
01
00
10
00
10
11
01
10
10
00
10
11
10
10
01
01
10
01
11
00
00
10
10
00
00
00
10
01
10
11
01
11
01
11
00
01
10
00
01
11
11
00
10
00
10
11
00
11
00
00
11
00
10
01
00
00
11
00
01
01
10
11
11
00
01
11
11
10
00
00
01
00
00
10
10
00
10
00
00
01
00
00
11
01
01
00
01
10
11
00
00
01
10
00
01
10
00
00
10
10
01
00
11
11
01
00
10
10
01
00
00
10
10
10
00
00
10
00
00
00
01
10
00
00
11
01
00
10
10
10
01
01
11
10
00
10
11
00
00
10
10
10
10
00
00
00
00
10
00
00
10
00
01
10
10
10
00
00
11
10
00
10
10
00
00
00
10
00
11
00
11
00
00
00
00
00
11
00
10
10
10
00
11
10
01
10
11
11
00
00
10
10
11
11
00
00
10
00
00
00
10
11
01
00
00
10
00
10
01
10
00
10
11
00
00
00
11
00
01
00
01
11
10
00
10
10
00
00
10
11
00
00
11
10
00
00
00
10
10
10
10
00
01
10
10
00
10
00
10
00
11
10
01
11
00
11
10
00
00
00
11
10
11
00
01
11
11
01
10
11
00
11
01
01
10
00
10
10
11
00
10
01
01
01
00
10
11
00
11
01
00
01
01
11
11
00
01
00
01
10
01
10
11
00
10
10
00
10
01
00
10
00
01
01
01
10
00
11
00
01
11
10
01
01
00
10
10
01
00
00
00
11
11
00
10
01
00
10
10
00
10
00
01
00
00
00
11
10
00
10
01
11
00
00
10
10
11
10
00
00
10
00
01
00
11
10
00
10
11
10
00
10
11
00
11
10
01
01
00
10
11
10
01
00
10
11
00
01
10
01
00
10
11
10
10
00
00
11
01
00
10
00
10
00
00
00
01
00
11
00
11
00
01
01
10
10
00
01
10
11
00
10
10
10
01
00
00
10
01
10
10
00
01
00
10
10
10
10
10
01
11
11
00
01
00
10
00
11
00
01
10
10
11
00
00
00
10
10
01
10
01
11
10
10
00
01
10
10
11
01
11
10
00
11
11
11
11
00
01
00
10
10
10
01
00
00
11
00
10
00
01
10
11
00
01
10
10
00
00
01
00
10
10
00
10
01
10
10
00
10
00
10
11
10
10
01
10
11
00
10
01
10
10
00
00
11
01
10
10
10
00
10
10
00
01
10
00
00
00
10
10
10
11
00
00
10
10
00
10
11
11
10
11
00
00
01
00
00
00
11
10
11
10
10
11
11
01
01
00
11
01
00
10
10
00
00
01
11
00
00
11
10
10
10
10
00
00
00
10
11
01
11
00
11
00
10
10
10
01
01
00
10
11
00
11
10
00
01
01
10
11
10
01
10
10
00
00
10
11
10
01
01
00
00
00
01
00
01
10
00
00
10
01
11
10
00
11
10
01
11
10
01
10
10
10
10
00
00
00
00
00
00
00
00
11
10
10
11
11
11
10
10
10
10
10
00
00
10
10
10
01
10
10
10
00
10
11
00
11
11
00
00
00
00
01
10
10
11
00
00
00
11
11
00
01
10
10
01
00
00
01
11
11
10
01
11
00
01
10
01
10
11
00
01
00
00
10
00
10
10
10
00
11
00
01
10
10
00
10
11
00
00
10
11
00
10
01
00
01
00
00
10
10
10
00
10
10
00
10
00
00
10
10
01
10
00
10
10
01
10
01
00
10
11
10
10
11
11
00
00
11
00
00
00
10
11
00
10
00
10
11
11
11
00
01
10
00
10
10
00
01
01
11
01
10
11
00
00
00
01
11
11
10
00
00
00
10
11
00
00
10
00
01
01
01
10
00
00
01
10
11
00
01
01
00
10
11
10
11
01
01
10
00
00
00
11
10
00
10
00
11
11
01
00
01
00
00
00
00
11
10
10
01
01
11
10
10
00
11
01
10
01
00
11
11
11
00
01
11
10
00
00
11
10
00
01
11
10
11
11
00
10
10
10
10
11
00
10
11
10
01
01
10
01
10
00
00
10
10
10
01
01
00
10
10
11
01
00
11
11
11
01
10
10
00
00
10
01
01
10
11
01
00
01
10
10
10
10
00
00
00
11
11
11
10
00
10
00
10
10
00
00
11
00
11
01
11
10
11
01
01
00
11
11
00
01
11
10
10
10
00
01
10
01
10
00
11
00
10
01
00
10
10
10
00
00
00
10
00
10
00
11
00
11
00
01
01
11
10
10
11
01
01
11
11
01
10
10
00
01
01
10
01
01
10
01
00
10
10
00
10
01
00
10
10
01
00
00
00
11
11
01
00
10
11
00
11
00
01
10
01
00
00
00
10
00
10
10
00
10
10
00
11
00
01
11
00
00
10
10
00
11
10
10
10
10
10
01
00
01
00
10
00
11
10
00
01
10
10
01
11
11
01
10
00
00
00
11
00
10
00
11
00
01
00
10
00
00
00
01
00
10
10
01
10
10
10
10
00
01
11
01
00
10
10
00
00
10
11
00
11
01
00
01
00
10
10
00
11
11
00
00
00
01
00
00
01
10
11
00
11
00
10
11
10
00
00
10
00
11
00
10
00
10
10
10
00
00
10
00
00
00
11
01
10
10
00
10
11
10
00
00
10
00
10
01
11
00
10
10
00
11
01
01
10
10
01
11
10
00
00
10
10
11
00
01
10
01
10
10
10
10
10
01
00
10
00
00
00
01
00
11
11
01
00
11
00
10
11
00
10
10
00
00
00
11
10
11
10
10
00
01
01
10
10
00
10
10
10
00
10
10
11
00
00
10
10
10
01
00
10
10
00
11
10
01
00
00
10
10
10
01
00
11
10
00
10
00
11
00
00
10
10
01
10
10
00
00
11
00
11
10
10
01
10
10
01
00
10
10
10
01
00
00
00
10
00
00
10
10
01
01
10
10
01
11
00
01
10
00
01
01
00
00
00
10
10
10
00
00
11
00
01
10
10
01
01
01
11
01
01
00
00
11
11
10
01
00
11
11
00
00
11
00
01
10
11
10
01
00
10
00
00
00
10
10
01
00
10
10
00
00
10
10
11
11
11
10
10
00
00
11
11
01
00
10
00
10
01
10
10
00
01
10
01
10
01
10
10
10
01
00
10
00
00
00
00
10
11
10
10
00
00
01
10
00
00
00
10
01
10
00
01
10
00
01
10
11
01
10
00
11
11
01
10
11
00
10
00
00
10
00
00
10
00
10
10
10
10
10
01
01
00
00
10
00
00
01
10
10
00
01
10
11
01
10
00
00
00
10
10
00
10
10
10
00
00
11
10
10
10
00
00
10
00
00
10
10
11
10
00
01
11
01
10
10
00
10
10
10
11
10
00
11
11
00
01
00
01
00
10
11
11
10
01
10
10
10
10
00
01
10
10
10
00
00
00
10
00
00
11
11
10
00
10
10
10
10
01
01
10
01
01
00
11
00
10
00
00
11
10
01
00
01
11
01
00
10
10
00
10
10
11
01
00
10
10
10
11
10
11
01
01
01
00
01
11
00
11
10
00
00
10
10
01
10
10
00
00
10
10
10
00
10
00
10
00
11
10
00
00
10
10
11
00
11
11
10
10
00
00
10
00
00
00
00
11
11
10
11
01
00
11
01
00
11
00
11
10
01
01
10
11
00
00
01
00
10
10
00
01
11
11
11
11
01
00
10
10
00
00
10
10
11
01
00
10
00
00
00
11
10
11
00
10
00
10
00
10
00
01
00
11
01
10
00
10
00
10
11
00
10
00
01
10
01
10
11
00
01
10
10
00
00
11
01
00
11
10
10
01
10
10
11
00
01
01
00
10
10
01
10
10
00
00
10
10
00
01
00
10
10
01
00
01
10
10
00
00
00
10
10
00
10
11
00
01
10
10
01
10
10
01
10
01
00
01
10
10
10
00
00
10
00
00
10
01
11
11
10
10
11
11
00
10
00
10
10
11
00
00
10
01
00
01
01
10
10
00
00
10
11
00
00
00
00
10
00
01
10
10
00
00
10
00
00
00
01
01
10
00
11
01
10
01
10
10
10
00
00
11
10
01
10
11
10
01
10
10
00
00
10
10
00
01
10
00
10
00
11
01
00
01
01
00
11
00
10
00
10
11
00
00
10
00
01
11
10
10
11
00
00
11
11
00
11
00
00
00
10
10
11
00
00
01
10
01
11
11
00
11
10
11
01
01
11
11
11
00
00
11
10
01
01
01
10
10
00
11
10
00
00
10
11
10
11
00
00
00
10
10
00
10
10
11
00
10
10
11
00
00
00
00
11
00
11
11
10
01
00
10
01
00
11
01
00
01
10
10
11
00
00
01
10
11
01
00
10
10
10
01
10
11
00
00
00
10
00
01
01
10
00
10
10
10
11
00
00
10
10
00
00
10
10
10
00
01
10
11
10
10
00
00
10
01
00
10
10
10
00
00
11
01
01
11
01
11
10
11
00
11
01
10
11
01
00
01
00
10
10
00
01
10
11
00
11
00
11
01
01
10
10
00
00
00
00
11
11
00
01
00
11
10
00
00
00
11
10
10
00
00
00
00
11
10
10
01
11
11
00
01
11
10
10
00
11
11
00
00
01
10
11
10
10
00
00
10
00
00
10
01
00
10
00
00
00
01
00
10
10
10
01
10
11
00
00
00
11
10
00
11
10
00
00
00
00
11
10
10
10
10
00
10
11
01
10
00
10
11
11
00
00
00
00
11
10
01
00
10
11
01
00
00
11
11
11
11
01
00
10
10
00
10
10
00
00
11
00
11
01
00
11
11
10
00
01
11
00
01
10
00
10
10
00
10
10
00
01
00
00
10
00
10
11
00
01
00
11
00
01
10
01
11
00
00
11
10
10
00
10
00
00
11
01
00
00
00
11
00
10
10
00
00
00
11
11
11
00
00
01
01
01
01
11
11
00
10
00
00
10
10
00
10
10
11
11
11
00
01
00
00
00
00
11
10
01
00
01
11
00
11
11
10
01
01
10
00
11
10
10
00
01
11
10
01
01
01
10
00
01
11
00
00
10
10
10
00
10
10
01
11
00
10
11
10
01
10
10
00
10
10
01
10
10
00
00
00
00
10
11
00
01
00
00
00
10
10
01
00
10
01
00
10
10
10
00
10
10
00
10
10
00
00
10
00
11
01
00
11
10
11
11
00
11
10
00
00
10
11
00
00
10
00
10
00
01
11
01
01
10
00
01
00
01
00
11
10
11
00
00
11
10
00
11
10
01
10
10
00
01
00
10
10
00
00
11
10
00
00
10
00
00
10
10
01
00
11
10
11
11
10
11
00
10
10
01
00
01
10
10
00
00
00
10
00
01
10
00
10
00
11
11
11
00
10
11
00
10
10
01
00
00
10
00
00
00
00
10
10
00
00
11
00
00
00
00
10
00
00
11
11
01
10
00
10
01
10
10
01
01
00
11
11
01
11
10
10
01
01
00
10
10
01
00
11
01
10
00
11
10
10
10
01
01
10
11
00
01
00
00
01
00
01
10
10
00
00
01
00
10
10
10
00
00
10
00
10
00
01
11
00
00
11
01
00
01
11
00
01
10
11
00
10
00
00
10
11
11
01
01
00
10
10
01
00
10
10
01
01
00
00
10
10
00
01
01
11
10
00
00
10
10
00
00
10
10
01
10
00
10
01
00
01
11
10
10
01
10
10
10
00
01
10
00
00
10
11
00
00
00
00
01
10
01
01
11
11
00
00
00
01
11
00
00
10
00
01
10
11
11
10
01
10
11
10
10
00
10
00
00
00
11
00
01
10
01
00
10
01
01
00
10
01
00
10
10
00
10
00
00
10
00
10
00
00
01
01
01
10
11
00
01
00
10
10
00
00
10
01
00
00
11
11
01
00
00
10
01
10
11
01
01
10
10
11
00
00
10
00
01
01
10
11
10
00
11
00
00
00
10
11
11
10
10
00
01
00
10
10
01
00
00
10
00
00
10
00
01
10
10
00
11
00
01
00
10
00
01
11
10
11
01
10
11
00
00
11
10
01
00
00
11
10
00
10
10
11
10
10
00
00
11
10
00
10
11
01
10
11
00
00
10
01
01
01
01
10
00
10
11
01
10
11
00
00
10
01
11
10
10
00
10
00
10
11
00
00
10
01
10
10
00
00
00
00
01
10
10
01
10
11
00
01
10
00
11
11
00
01
11
11
00
01
11
11
01
11
00
00
00
10
10
00
00
11
10
01
11
11
01
01
00
10
00
11
00
00
11
00
10
10
01
10
00
00
10
11
00
00
11
11
10
10
11
00
11
00
10
00
01
01
10
11
00
10
11
11
00
10
10
01
01
10
10
01
01
01
01
00
10
10
00
10
10
00
00
00
10
10
01
00
11
00
00
10
11
00
10
10
01
00
10
00
00
10
10
01
00
11
10
00
10
00
00
10
10
00
10
00
00
00
01
10
01
01
10
00
00
00
00
11
10
10
10
00
01
10
10
11
10
11
11
01
01
10
10
00
10
10
11
00
01
10
10
00
00
10
00
01
10
00
10
11
11
10
10
00
10
10
10
00
10
10
00
10
10
10
00
11
00
10
11
01
00
00
01
11
00
00
10
01
00
11
01
01
11
10
10
01
10
10
00
01
11
11
11
10
11
10
10
11
01
01
10
00
00
11
01
01
10
10
10
10
10
00
11
10
00
11
10
00
00
11
01
00
10
00
00
00
01
10
01
10
11
10
10
00
00
00
00
00
00
10
00
10
00
11
10
11
10
00
10
00
01
00
00
11
01
00
10
10
00
00
11
00
10
00
00
00
10
10
10
00
00
11
00
01
00
10
10
00
00
00
10
00
00
11
00
11
00
00
00
10
10
01
10
11
00
10
01
00
01
00
01
01
00
11
00
10
01
01
11
10
10
00
00
00
10
00
00
01
10
10
11
11
00
10
10
11
11
00
00
00
10
10
01
11
00
00
01
10
10
01
00
01
00
11
00
00
10
10
00
01
00
10
11
11
00
01
01
10
10
10
11
11
01
00
10
00
00
10
10
10
01
00
11
01
11
11
11
00
00
00
00
00
00
11
11
10
10
11
00
01
11
00
00
01
11
10
00
11
00
00
10
11
10
01
11
10
00
10
10
01
00
00
11
00
01
00
00
00
00
00
00
10
10
10
01
10
00
11
00
10
10
10
00
10
10
00
00
11
01
00
11
11
11
10
10
11
00
01
10
01
00
10
10
00
10
10
10
00
00
10
10
10
00
00
11
00
01
00
11
00
11
10
10
10
01
10
11
00
00
01
11
11
10
10
00
10
00
01
00
10
11
10
10
01
01
00
11
10
10
00
01
11
10
01
01
10
11
00
10
00
00
10
10
00
01
01
11
10
10
10
10
00
10
10
00
01
10
10
10
00
00
11
10
00
00
00
00
00
11
10
00
00
00
00
00
11
10
11
10
01
10
00
11
11
01
01
01
11
01
11
10
00
00
01
10
10
00
00
10
10
01
01
01
11
01
10
10
10
00
01
00
11
10
00
11
10
00
01
00
11
10
10
00
01
10
10
00
10
01
01
11
10
00
10
10
10
01
10
10
00
01
11
11
01
00
10
10
00
01
10
10
01
01
11
01
01
10
01
01
10
01
11
00
00
00
00
10
10
01
01
11
10
11
00
10
11
11
01
00
10
10
10
00
00
10
10
00
01
00
00
11
00
01
00
00
10
01
00
11
10
01
01
10
11
00
10
10
00
00
10
00
00
10
00
10
00
00
11
10
01
10
00
00
10
01
01
10
10
00
10
11
00
01
10
01
00
01
00
11
00
00
10
10
00
00
10
10
00
01
00
01
11
11
00
10
10
00
00
10
10
11
11
00
01
11
00
11
10
00
01
01
10
10
01
00
10
10
11
10
01
11
00
11
11
00
00
01
10
11
10
00
00
10
10
00
01
10
00
10
10
00
00
11
10
00
01
00
10
01
10
11
11
00
00
10
10
01
01
00
00
11
10
01
01
00
10
11
00
10
11
00
01
11
10
10
10
00
11
11
01
00
10
10
10
01
00
10
11
00
00
10
10
11
10
00
00
01
01
10
00
10
10
00
10
11
10
00
10
11
11
10
00
11
10
00
10
11
01
11
10
00
10
11
10
00
00
10
01
00
11
01
01
10
00
01
10
00
10
11
10
00
00
10
10
11
00
01
00
00
10
00
10
10
10
01
00
11
10
00
10
10
00
10
10
01
00
00
10
10
10
00
01
10
10
10
01
11
01
00
10
00
10
10
11
10
00
00
01
00
01
01
10
01
11
00
11
11
00
10
01
10
10
10
01
00
10
00
01
00
00
00
11
00
10
00
11
10
10
00
00
01
01
10
01
00
01
10
11
10
11
11
01
00
10
00
10
00
00
10
00
00
10
10
00
00
01
10
10
01
11
01
10
11
00
00
10
00
00
10
11
00
11
11
00
01
10
11
10
11
10
01
10
01
01
10
10
10
00
00
11
00
10
11
01
00
00
11
00
10
10
01
11
10
10
00
11
01
00
10
10
01
10
00
01
10
00
00
00
10
11
01
10
11
10
10
00
00
10
10
00
00
10
01
00
00
00
11
00
00
10
01
10
01
00
10
00
00
10
10
00
01
00
10
00
00
00
00
10
00
11
00
10
10
01
11
00
10
10
10
00
01
10
10
01
00
00
11
10
00
00
10
10
11
00
00
11
10
00
00
00
11
01
10
11
00
01
10
01
00
10
01
00
10
10
01
01
10
10
10
11
00
01
11
01
00
01
10
10
10
10
10
01
01
10
00
00
01
11
00
11
10
01
00
00
00
00
00
10
10
00
01
11
00
11
10
10
00
01
01
10
11
00
00
10
10
01
11
10
10
01
01
10
10
10
10
01
00
00
00
10
10
10
00
10
01
00
10
00
00
00
10
10
01
00
10
11
10
00
00
01
11
10
11
10
00
00
10
00
11
01
01
01
00
10
00
00
10
10
11
01
10
10
10
00
00
11
01
11
10
00
10
11
00
00
11
00
00
00
10
10
00
00
10
01
10
10
00
10
10
11
00
00
01
11
01
11
10
00
00
11
10
10
10
00
10
00
01
11
11
10
10
11
11
00
11
00
01
10
00
10
11
10
01
01
11
01
00
00
01
11
10
10
00
00
00
00
11
10
00
10
00
00
00
01
10
00
01
00
01
00
10
10
00
10
10
10
01
01
00
10
01
00
00
11
10
11
11
00
01
10
10
00
00
10
01
10
00
01
00
00
00
11
00
01
10
10
01
01
00
10
10
01
01
00
10
11
00
01
11
10
11
10
00
10
10
00
11
01
10
11
00
00
00
00
10
11
00
11
01
01
10
10
10
11
00
00
00
11
10
00
01
01
01
10
10
10
10
00
00
01
11
10
10
00
01
11
10
11
10
00
00
10
00
10
11
00
00
10
00
10
00
10
10
00
00
00
10
10
01
11
00
11
00
00
10
11
00
00
00
11
10
00
00
00
10
10
10
01
01
00
10
01
00
01
10
01
10
00
11
10
00
00
10
10
11
00
00
00
00
10
00
00
10
00
01
00
00
10
01
00
00
10
10
01
01
01
00
10
00
01
10
00
11
10
01
00
10
00
01
10
10
01
00
10
00
00
10
00
10
11
00
10
10
00
01
00
00
00
00
11
10
00
11
10
00
10
01
00
11
10
00
10
00
10
10
10
00
00
10
10
10
00
00
01
10
10
00
00
00
10
00
00
00
10
10
10
00
00
11
10
11
10
10
00
00
00
11
10
01
10
10
10
11
01
01
00
11
10
00
10
11
00
10
00
01
10
10
00
11
00
00
11
10
00
00
11
01
01
10
11
00
01
00
00
10
10
00
00
11
11
01
00
10
01
10
10
10
11
01
00
11
00
01
00
11
10
10
00
01
00
10
01
10
00
01
00
00
00
00
10
01
00
01
01
10
01
01
10
10
00
00
01
11
11
11
01
00
10
10
10
01
01
11
11
11
01
00
11
11
11
00
00
10
11
01
00
01
10
11
00
00
10
00
00
11
10
01
01
11
10
10
00
10
00
00
01
11
10
00
11
00
00
10
10
10
10
00
10
11
01
11
10
01
00
01
11
11
00
01
10
00
10
10
00
00
00
10
11
10
00
10
10
00
00
00
10
11
00
01
01
11
11
10
10
10
11
01
00
00
10
00
10
10
10
11
00
01
10
01
10
01
10
00
00
00
00
10
11
00
10
11
00
00
10
10
10
10
00
00
10
01
00
00
01
10
10
10
10
00
10
10
10
11
01
11
10
00
00
11
10
01
00
01
00
11
10
01
01
10
11
00
10
10
00
00
10
00
01
11
00
01
00
10
01
10
11
00
00
01
10
10
00
00
01
10
10
11
00
01
10
00
11
11
10
01
10
10
00
10
00
10
10
01
11
11
00
00
10
11
10
01
00
10
11
10
11
00
11
10
00
01
10
10
00
10
00
10
11
00
10
11
11
01
00
10
10
01
00
00
01
11
00
00
11
10
00
01
00
01
10
11
10
11
11
10
10
00
00
10
10
00
11
10
00
00
00
11
11
10
11
01
01
10
00
00
11
00
00
10
11
11
10
00
01
01
01
00
00
10
10
00
11
10
00
00
10
00
01
00
00
10
10
10
10
00
00
10
10
01
00
01
00
01
00
00
10
10
00
01
00
10
01
10
10
10
10
01
00
00
10
11
00
00
10
11
00
01
11
01
01
00
00
00
00
10
11
00
00
10
10
11
00
11
10
10
10
11
00
01
00
11
00
01
00
10
10
00
11
10
00
10
10
10
00
01
10
10
10
01
00
00
01
10
10
01
10
01
10
10
00
01
01
10
01
00
10
00
00
11
10
00
11
10
01
10
00
01
00
00
00
10
10
10
00
10
10
00
11
10
00
10
00
10
00
10
10
10
01
10
10
10
00
00
00
10
10
00
01
00
00
11
10
00
11
10
00
10
10
10
10
11
01
01
00
11
10
01
10
00
11
10
11
01
10
00
01
10
00
00
10
10
01
00
00
01
00
11
00
00
10
00
01
00
11
00
01
00
10
10
00
00
10
01
00
11
00
01
00
10
10
01
00
10
00
01
00
11
00
00
11
10
00
10
00
00
11
01
00
10
00
00
01
01
10
10
00
10
10
01
00
10
11
11
11
10
00
01
00
10
10
10
00
00
10
01
10
00
00
10
10
01
00
11
00
00
11
10
01
00
00
11
01
10
10
10
00
00
00
00
11
10
10
11
00
01
00
01
11
10
00
10
00
00
01
11
10
10
11
10
10
00
10
10
00
10
10
11
01
11
11
11
00
00
11
10
10
10
10
00
00
00
00
10
11
10
00
00
00
11
01
10
10
01
00
10
00
01
00
00
11
10
00
10
10
01
10
11
01
11
01
10
00
00
01
01
10
11
10
10
01
00
00
10
11
00
00
11
11
00
11
10
01
11
10
00
11
01
00
10
01
11
10
00
01
10
00
10
11
00
00
00
10
00
10
00
00
10
10
10
00
10
00
00
00
10
10
10
10
00
10
01
10
10
01
00
10
00
10
10
11
01
10
10
11
10
00
10
10
01
00
10
10
10
10
01
01
00
00
00
10
10
00
01
11
01
00
01
00
00
10
11
00
01
00
10
00
11
10
00
01
10
10
01
10
00
11
10
00
11
11
01
11
11
01
01
00
10
10
00
11
11
01
00
10
00
00
10
10
10
00
10
00
00
00
00
00
10
10
00
01
10
01
11
10
00
10
10
10
10
01
00
11
00
10
01
00
01
00
00
10
11
01
11
00
10
00
11
01
10
10
00
10
11
00
00
10
00
01
11
11
00
01
10
11
01
01
10
11
00
10
10
00
01
10
10
01
01
00
01
10
11
10
00
11
10
11
00
00
01
01
11
01
01
10
01
00
11
11
11
00
00
00
10
10
10
00
01
00
00
10
11
00
11
00
00
00
11
00
00
10
11
10
01
10
01
11
01
10
10
10
00
00
10
11
00
10
11
00
10
01
10
01
10
01
00
00
01
10
10
10
11
00
10
01
10
10
10
10
00
10
10
00
11
10
00
10
10
00
11
01
10
00
10
10
00
01
00
01
01
00
00
10
01
00
00
10
11
00
10
11
00
01
00
10
10
01
11
11
11
01
01
10
01
00
00
10
10
01
10
11
01
00
01
10
00
01
01
10
11
00
01
11
00
01
10
10
00
10
10
00
01
01
11
10
10
10
11
10
11
00
00
01
11
01
10
00
00
01
00
00
10
10
01
10
01
00
10
00
10
10
01
00
10
01
11
00
10
11
11
00
10
00
00
00
11
11
00
11
10
01
10
11
00
10
01
00
10
11
00
10
10
00
10
00
00
00
10
10
10
01
01
11
10
00
10
11
01
10
00
00
10
11
00
01
10
00
01
10
11
00
00
00
11
11
01
10
11
00
10
10
00
00
00
00
11
00
10
11
10
10
00
10
00
10
00
00
10
00
10
10
00
00
01
11
01
10
10
11
10
10
00
11
00
11
11
01
00
10
10
10
01
10
01
00
11
00
10
11
11
11
00
10
10
11
10
10
00
00
10
11
10
00
00
10
11
10
10
10
11
00
00
01
10
00
00
11
00
01
10
11
00
01
10
10
01
00
11
10
10
01
11
10
00
01
01
00
11
11
00
00
10
10
10
00
00
00
10
01
01
00
00
10
11
10
11
00
10
00
01
10
10
00
00
11
00
01
00
10
10
01
01
11
00
01
11
11
00
11
01
01
11
11
01
00
10
10
00
01
10
10
10
10
00
00
00
00
10
00
10
10
11
11
00
00
00
00
00
00
11
10
11
11
01
00
00
10
00
00
10
11
00
01
00
10
00
00
01
00
11
11
01
00
11
10
11
10
00
00
01
00
11
10
11
11
10
11
00
00
10
01
00
00
10
11
00
01
10
01
10
00
10
00
00
10
01
00
11
00
10
10
00
01
00
11
00
10
00
01
11
00
01
01
11
01
11
01
00
10
10
00
00
10
10
00
00
00
10
10
01
00
10
10
10
10
10
01
00
10
11
00
11
00
01
10
11
11
01
11
11
01
01
11
00
00
10
10
01
01
10
01
10
10
10
00
01
10
10
01
01
10
10
10
00
11
10
00
10
10
10
10
01
00
00
11
10
01
10
01
00
10
00
00
01
10
11
01
10
10
00
00
10
11
10
00
01
10
00
01
10
10
01
10
11
10
10
00
10
10
10
00
00
00
00
11
00
00
11
00
00
10
01
10
00
10
10
10
10
00
00
10
10
01
10
00
11
10
00
00
01
10
01
10
10
10
11
01
00
00
11
10
00
10
01
01
00
00
00
11
10
00
11
01
10
00
01
10
00
00
00
11
00
00
00
10
00
11
01
10
01
10
11
10
01
01
00
10
01
00
01
00
11
11
10
00
00
11
10
00
11
10
10
00
00
00
10
00
01
11
11
10
00
11
00
01
10
10
00
00
10
11
10
00
00
10
10
00
01
11
00
01
00
01
10
10
11
10
00
00
10
10
11
01
00
01
00
11
10
01
00
10
10
01
00
11
01
10
10
10
01
01
00
10
00
00
10
10
10
00
10
00
10
00
01
11
10
10
01
10
00
10
10
00
11
00
00
10
10
00
10
00
00
10
00
11
10
00
10
01
10
00
10
00
11
00
10
11
10
01
00
01
10
00
00
00
10
10
10
10
10
01
10
11
00
00
00
01
10
01
00
00
00
10
11
10
01
00
01
10
11
00
11
00
01
11
00
01
10
10
00
00
00
10
10
00
11
00
00
00
10
11
00
00
00
10
11
00
00
10
10
01
00
11
10
00
10
11
11
11
01
00
10
10
10
11
01
00
00
10
11
11
11
01
11
11
01
01
11
00
00
11
11
01
00
10
11
10
01
11
00
01
10
00
10
00
01
10
10
00
11
00
00
01
10
00
00
10
10
10
00
01
01
10
10
10
00
00
11
00
01
10
00
10
10
00
10
00
00
10
10
00
10
10
00
00
10
01
10
10
00
11
10
00
00
10
00
11
10
00
00
10
10
10
00
00
00
10
00
11
01
11
10
11
10
00
11
10
10
01
01
10
10
00
01
11
00
11
10
01
11
11
10
00
00
10
10
10
11
01
01
10
00
11
11
11
00
00
10
00
10
11
11
11
11
10
10
11
01
00
10
01
01
00
01
01
10
00
00
00
10
11
11
11
00
01
01
10
11
10
10
10
11
00
00
00
10
10
01
11
11
10
00
01
10
11
10
00
00
00
10
11
00
00
10
10
00
01
10
10
00
00
01
00
00
10
10
00
10
00
10
11
00
11
00
10
01
00
11
00
10
10
10
01
00
00
01
10
01
01
10
10
10
11
01
00
00
11
10
11
01
11
01
00
11
00
11
10
00
01
11
00
01
00
11
00
10
01
11
11
10
00
00
01
10
00
10
10
00
10
10
01
11
00
00
00
10
10
11
10
00
10
01
10
00
01
10
00
11
01
10
00
00
10
11
00
11
00
00
00
10
11
01
00
10
00
10
00
00
10
00
00
11
11
10
00
10
00
00
00
10
00
00
10
10
10
00
00
00
01
00
11
11
11
10
01
10
11
01
00
11
10
00
01
10
01
11
11
00
01
10
10
01
00
11
10
00
11
11
00
11
00
01
11
10
00
01
10
10
01
00
11
10
11
11
10
00
11
00
00
11
10
01
00
10
00
00
00
10
10
01
00
11
00
10
00
01
10
11
10
00
00
10
10
00
10
00
00
10
00
00
11
11
01
11
10
00
01
10
00
00
00
11
00
00
00
11
10
01
01
11
00
11
11
01
10
01
10
01
01
11
10
11
10
10
00
00
01
11
01
00
10
11
10
00
00
10
00
10
11
00
10
11
10
00
00
00
10
10
10
00
01
11
11
11
10
11
00
01
10
10
00
01
01
10
01
00
10
00
00
10
10
11
01
11
01
00
11
10
00
10
11
10
10
00
01
10
01
11
00
10
00
00
10
10
00
10
11
10
00
10
00
10
10
11
01
11
00
00
01
10
00
00
10
10
00
10
00
11
00
10
10
00
10
10
00
00
10
10
10
01
01
00
11
00
01
10
10
00
01
00
00
00
11
01
00
11
10
00
10
00
01
10
11
10
10
01
00
10
00
00
11
00
00
10
00
00
01
01
10
10
00
11
00
11
00
10
00
00
00
10
10
01
01
11
11
11
01
10
00
11
10
10
00
10
10
10
01
00
10
00
00
11
00
01
10
00
01
10
11
00
10
10
00
00
00
00
10
10
00
11
10
11
00
10
11
11
10
11
01
01
10
11
11
01
00
10
00
00
01
01
01
10
11
00
11
10
00
10
11
00
01
10
11
01
10
00
00
01
11
11
10
10
10
00
00
01
11
10
10
10
00
10
10
00
01
11
10
00
11
01
00
11
10
00
00
11
10
01
01
11
01
00
00
10
01
00
00
10
10
00
01
10
11
10
00
01
01
10
10
00
11
00
00
11
00
10
00
10
10
10
01
10
00
00
01
10
01
01
10
10
00
01
00
00
11
11
00
10
00
00
10
10
11
11
00
00
10
10
10
00
01
00
01
00
10
00
10
11
01
10
10
00
10
01
00
11
01
00
00
00
00
11
10
00
00
10
11
00
10
00
10
01
11
10
00
00
10
00
01
10
01
00
10
01
00
10
10
00
00
00
00
10
00
00
00
10
01
11
01
11
00
10
11
11
00
00
10
10
00
11
10
10
01
00
00
10
01
01
00
10
11
11
00
01
10
10
11
00
01
10
11
00
00
10
10
00
00
00
11
10
00
11
10
00
00
00
00
10
01
11
10
11
00
00
00
10
11
11
10
00
00
00
10
01
10
11
11
00
10
00
10
10
00
01
00
00
11
10
11
10
10
01
00
10
11
00
10
10
10
01
01
00
00
00
10
01
00
10
00
00
00
11
11
00
11
11
11
00
00
10
01
00
00
10
10
11
00
00
11
10
00
11
00
10
11
10
00
00
10
00
11
10
01
10
00
10
10
00
01
10
11
01
10
11
00
01
11
01
01
10
10
00
00
10
10
00
00
10
00
10
11
00
00
10
10
00
00
11
00
11
10
00
10
00
00
01
11
11
00
11
01
00
10
01
10
00
10
11
01
11
00
01
11
11
00
00
10
11
10
01
10
01
00
10
10
10
11
10
00
10
10
00
00
10
11
01
00
01
01
11
10
10
00
00
10
11
00
00
00
11
11
10
10
00
01
01
11
00
11
10
10
01
00
10
10
00
00
01
10
01
11
11
00
01
10
10
10
11
01
00
00
10
11
10
01
00
00
11
00
11
10
01
00
01
10
00
01
11
01
00
10
11
11
01
00
10
00
10
00
00
10
10
11
01
00
10
01
11
00
10
10
00
11
10
10
01
10
11
00
00
11
00
11
10
10
00
00
10
00
00
00
00
11
10
10
00
10
10
00
01
10
10
01
10
11
00
11
11
00
01
11
00
10
10
11
01
00
11
00
10
01
10
00
11
00
01
11
10
00
10
11
00
00
10
10
11
00
11
00
10
00
00
10
00
11
00
11
10
00
00
10
10
10
00
11
00
00
10
10
10
11
11
10
00
00
00
10
11
01
00
10
01
00
00
00
10
01
10
10
10
01
11
11
10
01
10
10
00
00
00
10
11
00
10
10
11
01
10
01
01
01
11
00
10
11
10
00
00
10
10
11
11
11
10
11
10
00
10
00
00
10
11
00
00
10
00
01
00
11
10
00
10
10
00
00
01
10
10
00
00
01
11
11
10
10
11
10
01
01
01
10
11
00
01
00
11
10
01
10
10
00
00
10
00
00
11
00
00
00
10
11
01
01
10
10
00
00
10
10
00
00
00
10
00
00
10
10
11
00
11
10
01
00
10
10
00
10
01
00
10
01
00
00
01
10
00
11
10
11
00
11
11
11
00
01
00
10
10
11
10
00
01
10
11
11
00
00
01
10
00
00
10
10
10
00
01
11
10
10
10
00
10
10
01
10
00
10
00
10
00
00
10
10
00
11
10
10
10
10
00
01
10
01
00
10
11
00
00
00
00
11
00
00
01
01
00
10
00
10
01
10
10
11
10
00
10
10
00
11
10
10
00
10
00
00
00
00
11
10
10
10
00
10
10
00
11
10
00
01
00
00
00
10
00
10
10
10
00
10
10
01
00
10
11
00
00
00
01
11
10
00
10
01
01
11
11
00
00
01
01
00
11
10
11
00
00
10
00
00
11
00
00
10
10
01
01
11
01
11
10
10
00
10
00
00
10
10
10
01
11
10
10
10
11
11
01
00
01
11
10
10
01
00
10
10
00
10
11
01
00
00
11
10
10
11
10
11
01
00
00
00
10
11
00
01
10
10
11
10
01
00
10
11
00
10
10
00
01
11
10
00
10
11
10
00
00
10
10
00
00
01
01
10
11
11
01
10
10
11
10
00
00
10
00
00
10
00
11
01
11
11
10
10
10
11
01
10
10
01
01
10
00
00
00
00
00
10
00
10
10
10
10
11
00
00
00
11
10
00
01
10
01
01
00
11
00
11
01
10
00
01
00
10
01
01
11
01
01
10
10
01
00
10
11
01
01
00
11
00
00
10
00
11
00
00
10
00
01
10
11
10
01
00
01
00
00
00
11
10
00
10
00
00
11
10
10
10
10
10
10
01
00
00
01
11
01
00
01
01
11
11
00
01
10
11
00
01
11
10
00
00
10
10
11
00
10
00
11
10
10
00
01
00
10
00
00
11
00
01
10
10
00
01
10
10
10
01
00
00
00
00
00
10
00
00
01
11
00
00
01
11
10
00
00
00
00
10
10
11
01
10
00
00
10
11
11
01
01
01
11
00
01
10
10
01
00
11
10
10
01
10
10
00
01
10
00
00
10
01
11
01
00
10
10
10
01
11
00
00
01
10
11
01
11
11
01
11
11
00
10
00
01
10
10
11
00
10
01
10
10
10
10
00
01
10
00
00
10
10
10
10
10
01
10
00
00
01
10
10
01
10
10
00
11
01
00
00
00
00
10
11
10
11
00
10
00
10
00
00
11
11
01
01
10
11
10
11
01
11
11
01
00
10
01
11
00
11
11
01
00
11
00
10
10
00
00
11
10
01
10
11
00
11
10
10
11
00
00
10
01
00
11
00
00
11
10
01
00
10
11
00
00
10
00
01
10
10
00
11
11
00
11
11
00
01
10
10
10
11
00
00
01
11
00
01
10
10
00
00
01
10
10
01
10
00
00
01
10
10
10
00
11
11
00
01
01
00
10
00
00
00
10
11
00
00
11
10
10
11
00
00
11
10
00
11
00
01
10
10
00
10
00
00
10
10
00
10
10
01
10
10
00
01
00
11
00
11
10
11
10
00
11
11
10
11
01
00
10
01
00
10
01
11
00
00
10
10
11
10
11
01
00
11
10
00
11
00
10
10
01
11
01
10
10
10
00
10
10
00
00
11
00
10
00
01
10
11
00
10
00
01
00
00
00
11
10
10
00
01
10
11
00
00
11
00
10
11
11
00
00
00
11
00
10
11
00
11
01
00
10
00
00
10
00
00
10
10
00
11
00
10
00
00
10
10
10
00
01
10
10
11
10
10
00
11
01
11
10
01
10
00
10
11
10
10
01
01
10
00
01
01
01
00
10
11
10
00
00
01
11
01
00
01
10
00
10
11
10
00
00
01
10
00
10
00
00
10
00
01
10
11
10
00
10
00
01
10
11
00
10
00
11
10
00
10
00
01
10
01
01
11
01
00
00
10
11
01
00
10
10
01
01
11
10
00
10
10
00
01
00
10
11
10
10
11
00
01
00
10
10
00
00
10
10
00
10
10
10
10
00
00
00
00
00
10
10
10
11
11
10
10
00
00
00
10
10
10
00
11
10
00
00
01
10
10
10
00
11
10
10
10
10
01
00
00
00
00
11
00
11
10
01
00
00
00
10
00
10
11
00
00
10
10
00
10
01
10
01
10
10
01
00
00
10
11
10
00
00
10
11
11
10
10
01
01
01
01
00
00
10
10
01
10
10
00
01
01
10
10
10
01
10
11
00
10
11
00
00
00
10
11
10
00
10
00
10
00
01
00
00
10
11
00
10
11
00
00
10
10
10
10
10
11
00
00
10
00
00
00
00
11
00
00
10
10
01
00
01
11
00
01
10
10
10
10
01
01
11
11
00
10
10
10
00
00
10
10
10
01
01
00
11
11
10
00
00
01
01
01
10
10
00
00
10
11
00
00
10
01
10
01
11
11
10
11
00
01
01
11
10
10
10
10
00
00
00
10
11
00
10
10
01
01
00
01
11
11
10
10
00
10
00
01
10
00
00
10
11
00
00
10
10
01
11
10
01
01
11
00
00
11
00
11
11
10
10
00
10
01
01
10
00
00
10
00
10
10
00
00
10
10
10
00
11
01
11
11
10
00
10
11
01
01
11
00
00
11
01
01
10
11
01
01
01
00
00
11
10
10
10
01
00
10
11
10
01
10
11
00
10
10
10
00
10
10
00
10
11
01
10
00
10
11
10
00
00
01
00
01
11
11
10
10
10
00
01
10
10
00
01
10
01
10
00
10
10
11
00
10
11
10
01
10
01
10
11
11
11
01
00
00
10
10
10
00
00
10
10
10
10
01
11
00
10
01
00
00
00
10
10
10
10
10
01
10
01
10
11
00
11
11
00
00
10
11
01
11
01
11
10
11
01
00
10
00
10
11
00
00
10
10
00
01
10
00
11
10
00
00
10
11
01
01
11
10
00
00
01
01
00
11
10
10
10
00
00
01
00
11
10
10
10
10
10
00
01
00
11
00
10
00
10
10
11
11
10
10
00
00
11
10
00
00
11
00
00
01
10
01
00
11
10
00
10
00
10
10
01
00
00
10
11
11
11
00
01
10
11
00
01
10
11
00
00
11
10
11
11
00
10
10
00
10
10
00
01
10
10
01
10
00
10
00
10
11
00
10
01
11
10
00
11
10
10
11
00
01
10
10
00
01
10
11
00
00
10
10
01
01
00
11
01
01
01
10
11
01
00
10
01
10
10
00
10
00
01
11
00
11
00
11
10
11
10
11
01
00
00
10
10
10
01
01
00
01
11
00
10
11
11
10
10
00
00
01
10
11
00
10
10
00
10
00
00
10
00
01
11
10
00
10
11
10
11
00
01
00
10
10
01
01
10
10
01
00
10
10
00
10
11
11
10
00
00
10
11
00
00
10
10
00
11
11
00
11
11
10
11
00
00
10
00
01
10
01
00
11
10
00
10
11
11
01
11
10
10
00
01
01
00
10
10
11
11
01
00
00
00
10
10
00
10
11
00
01
11
10
00
10
00
00
10
10
10
00
00
10
00
11
10
00
10
10
01
10
10
01
01
10
10
10
00
00
10
10
10
01
01
11
10
10
00
00
11
01
01
11
10
00
11
11
01
01
10
11
10
00
11
11
01
00
10
11
01
00
10
00
10
11
10
01
01
11
00
01
00
10
10
00
10
10
00
00
00
01
10
10
00
10
10
11
00
01
10
10
10
01
11
11
01
00
10
00
00
10
10
00
00
11
10
10
00
01
01
10
00
01
10
10
10
00
01
11
10
00
10
11
00
11
10
00
10
00
10
10
10
01
10
00
01
11
10
00
00
00
00
11
11
10
10
10
10
01
10
10
10
11
00
01
00
01
11
10
10
01
10
10
00
11
11
00
01
11
00
10
10
00
00
11
10
00
10
10
10
01
00
11
10
00
00
11
10
00
11
10
01
00
00
00
10
11
00
10
10
10
00
00
10
01
10
10
10
10
00
10
01
10
00
00
10
10
11
11
10
10
01
10
11
01
01
00
10
00
00
10
00
00
00
00
00
10
11
10
10
10
00
01
11
10
00
10
01
00
00
11
01
01
00
00
00
10
10
10
01
10
10
10
10
11
10
01
00
10
00
11
10
11
10
01
10
01
10
10
10
01
00
10
00
00
10
00
11
10
11
00
00
00
10
10
00
00
10
10
11
00
01
00
01
01
01
00
00
10
01
01
10
10
11
01
01
10
00
01
11
00
10
00
10
00
01
10
11
00
10
10
10
01
01
10
10
01
00
00
01
10
00
10
11
01
00
00
10
10
00
01
01
10
11
10
10
10
11
01
00
11
10
01
00
00
10
01
00
11
01
11
00
11
00
00
00
01
11
11
10
00
00
00
10
10
01
00
01
00
11
10
00
01
00
01
10
11
10
10
00
01
10
10
10
01
01
10
11
00
01
00
00
10
10
01
10
01
00
01
10
10
00
00
00
10
10
10
00
00
00
10
11
00
10
10
01
00
10
00
10
00
01
10
01
00
01
10
10
00
00
01
01
01
00
11
10
00
11
10
10
00
00
11
11
00
10
01
00
10
00
00
01
10
10
10
01
10
10
00
01
00
00
10
00
10
01
01
00
10
00
01
10
11
00
10
10
11
01
11
10
01
10
10
10
00
10
10
00
00
00
10
01
10
00
00
11
00
10
10
01
01
00
10
10
00
10
10
10
10
00
00
11
00
10
00
11
00
01
01
10
01
01
10
10
01
01
10
10
01
01
11
00
00
11
10
01
11
11
01
11
10
00
11
10
10
00
00
10
00
10
10
10
00
00
10
10
00
11
00
10
00
01
00
10
00
00
10
11
10
10
00
00
10
01
11
00
10
11
10
10
01
00
10
10
11
00
10
10
00
01
10
01
00
10
01
00
01
10
01
00
01
11
10
01
01
11
10
10
01
11
00
01
00
10
00
01
11
10
10
00
00
10
11
11
01
00
01
01
10
11
10
00
00
01
10
10
00
01
10
10
11
11
10
00
10
00
00
00
00
10
11
00
11
11
10
00
10
10
11
11
00
00
00
01
11
10
00
11
10
10
00
00
00
10
11
00
10
10
00
10
10
01
10
11
10
00
00
10
00
11
00
00
10
10
01
10
10
00
00
01
00
01
10
00
11
00
00
11
10
00
01
10
00
10
11
01
10
11
00
00
10
10
11
10
01
01
01
10
10
10
00
00
00
00
10
10
10
11
00
11
00
10
00
00
10
00
11
10
10
01
11
11
01
10
01
10
00
11
10
00
01
00
10
00
11
11
10
00
10
10
11
11
00
01
10
01
00
00
10
11
00
00
00
10
10
10
00
00
00
10
10
10
10
00
00
10
10
01
10
00
11
10
00
01
10
01
10
11
00
01
11
11
01
00
10
10
10
01
01
00
10
11
10
10
10
10
00
10
00
01
01
11
10
00
11
00
01
00
00
10
10
00
00
00
10
01
00
10
00
00
10
01
01
00
11
10
01
00
11
11
00
11
11
10
01
00
10
11
00
00
00
11
10
00
00
01
00
00
00
00
11
01
10
11
01
10
00
10
00
11
10
00
10
01
10
10
11
00
01
10
11
10
10
10
10
10
00
11
11
10
11
01
10
10
01
01
10
11
00
11
01
10
10
01
00
00
11
00
01
10
10
10
00
10
11
00
00
10
00
00
01
10
10
00
11
01
10
00
01
00
00
11
00
11
01
11
11
00
10
10
00
01
01
11
00
00
01
10
01
00
10
10
10
00
01
11
11
10
00
00
00
11
00
00
10
01
00
00
10
01
10
11
00
01
00
00
00
00
01
11
00
11
11
01
00
10
01
00
00
10
00
11
10
11
01
00
10
10
00
00
00
10
00
10
00
00
00
10
10
10
11
01
00
10
10
10
00
00
00
01
10
10
01
00
10
01
11
10
10
00
01
11
00
01
10
01
11
11
11
00
00
10
00
00
01
11
11
00
01
11
11
00
00
01
10
00
11
10
01
00
00
10
10
00
00
00
10
00
01
10
01
11
10
10
01
11
11
11
00
11
10
11
11
00
00
11
00
01
10
10
10
01
10
01
11
10
00
00
10
10
01
00
10
10
00
00
01
00
10
10
10
10
10
00
00
10
11
00
00
10
11
10
01
01
11
00
10
01
00
11
11
11
00
11
10
01
11
10
10
00
00
10
11
00
00
11
10
01
01
00
00
11
10
01
00
10
11
00
00
11
00
11
11
01
10
01
00
00
10
10
00
10
11
01
10
01
00
01
10
10
10
00
11
10
10
00
00
11
01
00
00
11
10
11
01
00
10
10
11
01
01
10
01
10
10
01
00
10
10
10
01
00
10
01
00
11
00
00
11
01
00
10
10
00
10
10
10
00
00
00
10
01
00
10
10
10
10
10
11
00
00
00
11
11
01
11
10
00
00
10
11
11
01
00
10
00
00
00
00
11
10
00
01
10
01
01
10
01
10
00
00
00
00
10
10
11
10
11
01
10
00
00
11
00
00
11
01
01
11
10
11
11
11
00
00
11
00
10
10
10
01
01
00
10
11
00
10
00
10
10
10
01
00
10
00
11
01
00
10
01
10
10
00
00
10
01
00
01
10
11
01
01
11
01
00
11
10
00
11
10
00
10
00
00
10
01
10
10
00
10
11
00
01
00
10
11
00
01
00
11
11
10
10
00
11
11
00
00
00
10
00
10
10
00
11
00
10
00
01
10
00
11
11
10
11
00
01
10
01
01
10
00
10
10
00
00
11
00
00
10
10
00
01
10
00
00
01
00
10
10
00
10
01
00
11
10
00
10
11
01
01
11
10
01
10
10
01
01
11
00
01
11
10
10
01
00
10
10
00
00
10
01
10
01
10
11
01
01
00
10
00
01
00
00
01
11
10
00
01
10
10
01
00
00
10
00
01
10
00
10
10
00
00
01
00
10
11
10
10
01
00
10
00
11
10
10
10
00
00
10
10
11
10
11
01
00
11
00
11
01
11
10
01
00
10
00
01
10
10
00
00
11
01
00
00
00
11
10
11
10
11
01
10
10
10
00
01
00
10
11
00
01
11
11
11
10
10
10
01
00
11
00
01
10
00
00
00
10
00
10
10
10
10
10
00
01
01
10
10
11
00
00
10
10
00
11
10
00
10
00
10
10
00
00
11
10
00
10
10
00
00
11
11
10
00
10
10
10
01
00
01
10
10
00
11
11
10
01
01
10
10
00
01
10
11
01
00
11
10
00
11
00
00
10
11
11
01
00
11
00
10
00
01
00
10
10
11
01
10
00
00
00
10
00
00
00
11
10
00
11
10
11
00
10
11
11
00
01
10
10
10
00
11
10
01
01
10
10
00
00
10
01
00
01
00
11
00
11
10
00
00
11
10
00
10
10
00
10
10
01
10
10
00
11
10
00
11
11
01
10
10
11
10
01
00
01
10
10
10
10
10
00
10
11
01
00
00
00
00
11
11
00
10
11
11
10
10
00
01
10
00
10
11
00
00
00
01
00
10
11
10
11
10
10
01
01
01
11
00
01
01
10
10
10
11
01
00
10
11
10
11
00
00
01
10
00
10
00
00
10
00
10
10
01
01
10
00
00
11
11
10
00
10
01
10
00
00
00
10
10
00
11
10
01
00
00
10
10
00
00
10
10
00
01
10
00
01
00
01
10
10
10
01
00
01
00
00
10
00
10
10
00
00
00
10
10
11
01
00
01
01
10
10
10
01
11
10
00
10
10
00
00
00
01
10
00
00
10
10
11
00
00
11
00
11
10
10
00
00
11
10
10
00
01
11
00
10
10
01
00
10
10
01
01
10
10
00
10
10
11
10
00
00
00
00
10
11
10
10
01
01
00
00
11
01
11
11
00
10
10
10
00
00
10
10
00
11
11
11
00
01
10
10
10
00
11
01
00
10
00
10
00
10
11
01
11
10
01
11
10
00
00
01
01
10
10
11
11
00
10
00
00
10
00
01
10
11
00
11
00
10
01
00
10
00
10
10
10
00
10
11
10
10
00
00
10
10
10
01
01
10
11
00
01
10
00
11
10
10
00
11
10
11
00
01
10
10
01
00
00
00
11
10
01
10
11
10
10
10
10
00
01
10
01
01
10
01
01
10
10
00
01
01
11
11
10
00
10
00
10
11
01
00
00
11
10
00
11
10
00
10
00
10
00
10
10
11
00
00
00
00
00
00
11
10
10
10
01
00
10
11
10
00
01
01
11
00
00
10
00
00
10
10
10
00
10
10
00
00
10
10
10
00
10
10
00
10
00
10
11
00
10
01
00
10
11
01
01
10
11
00
00
10
10
00
11
11
10
10
10
01
10
10
10
01
00
00
10
11
00
10
10
01
11
01
11
10
00
00
10
10
00
00
10
10
00
01
01
01
01
00
10
11
00
00
11
10
11
10
01
01
10
00
00
00
00
10
10
00
00
01
10
10
01
11
00
10
10
10
11
00
00
00
11
10
10
00
10
11
00
00
01
00
00
00
01
11
10
11
10
11
11
00
00
01
11
10
00
01
00
10
01
00
01
11
11
11
10
00
11
01
11
01
00
10
10
10
11
11
00
00
00
10
11
10
00
00
00
00
10
10
10
00
11
10
00
00
00
10
01
00
00
10
10
10
10
01
10
00
10
10
10
00
01
10
10
00
00
10
11
00
00
10
10
00
11
10
00
10
11
10
10
11
01
11
10
10
00
01
10
11
01
00
10
10
00
01
00
10
11
00
10
11
11
10
00
01
00
10
10
10
10
00
00
00
01
10
10
00
10
11
10
00
01
11
01
01
00
11
11
01
11
00
00
10
00
00
01
10
11
00
00
10
11
00
00
00
10
00
11
10
00
01
01
01
01
10
10
11
01
10
10
00
01
00
11
10
10
00
11
10
01
00
10
10
01
10
00
11
10
01
01
00
00
01
10
11
00
10
11
00
00
10
00
00
01
00
10
00
00
01
10
01
01
10
00
10
00
01
10
11
11
10
01
10
01
10
11
01
00
00
11
00
10
10
01
00
00
10
10
00
01
01
10
10
00
00
11
10
11
11
11
11
01
00
01
10
11
10
01
00
11
11
10
10
00
10
00
10
01
01
00
10
10
10
10
10
00
10
10
10
11
01
01
10
00
11
01
10
10
10
00
00
00
01
00
10
00
00
11
10
11
00
10
10
00
00
01
10
11
00
00
01
00
10
00
00
10
10
11
00
10
00
00
00
10
10
10
11
10
10
00
10
10
11
10
00
01
11
00
00
10
00
11
10
00
00
10
11
00
10
00
00
11
10
10
11
00
01
11
11
01
01
10
11
10
00
11
11
10
00
10
10
00
01
11
10
00
00
00
01
10
00
00
11
10
11
00
00
00
10
10
10
10
10
11
01
01
00
10
10
11
00
00
10
00
00
00
11
11
11
11
11
00
10
11
00
11
01
01
11
10
10
11
00
00
10
00
00
01
11
10
01
00
11
11
10
01
11
00
00
00
11
10
10
01
00
10
10
10
11
00
00
10
10
01
10
00
00
10
10
11
00
01
01
10
01
10
11
01
00
10
00
10
10
10
10
10
11
00
00
01
00
10
01
10
11
10
11
01
01
00
00
11
00
11
00
00
10
00
00
10
00
10
10
01
00
10
01
00
10
10
01
10
01
10
10
10
00
00
11
00
11
10
10
10
00
01
10
10
00
01
10
00
00
11
11
11
10
11
00
10
10
00
00
01
10
10
11
00
10
10
10
01
01
11
10
10
00
10
00
01
00
10
10
01
10
01
10
00
01
11
11
10
01
00
10
10
11
01
00
00
10
00
00
00
10
10
11
10
01
01
01
01
11
01
00
00
10
00
01
10
01
00
11
11
11
00
00
11
10
01
00
10
10
10
01
10
01
01
01
11
00
00
10
01
10
10
00
00
11
00
00
00
10
00
11
00
00
10
00
01
01
00
10
10
10
10
00
00
10
10
11
01
00
11
10
01
10
10
01
11
10
00
10
10
00
00
00
00
00
10
10
00
00
11
11
10
00
11
10
10
10
10
10
01
10
11
10
11
10
10
10
11
10
10
00
10
01
10
10
00
00
10
00
11
00
01
11
11
00
00
00
11
00
00
00
11
10
00
01
10
11
10
01
00
00
10
10
00
11
11
00
10
00
01
10
10
00
10
01
10
01
01
00
01
00
01
11
10
11
00
11
11
01
01
10
11
00
01
11
10
01
10
10
00
01
11
00
10
10
10
10
10
00
00
11
11
11
10
11
01
11
00
10
10
01
00
11
00
00
10
10
00
00
10
10
00
10
01
00
00
01
10
00
00
01
10
10
00
00
10
01
00
11
00
10
01
10
01
10
00
10
00
11
10
01
10
01
00
00
00
11
10
00
10
10
00
01
10
10
01
00
10
10
00
00
10
10
00
00
00
00
11
10
11
00
10
10
10
11
00
11
00
11
11
00
11
01
00
10
11
01
01
10
11
10
00
01
11
01
00
11
10
10
01
00
10
00
10
11
00
10
10
00
10
01
10
11
10
00
10
10
00
00
11
10
01
11
00
00
00
01
10
00
10
10
00
10
11
01
11
00
10
00
10
00
00
00
11
11
11
00
00
11
00
01
00
10
10
01
10
10
00
00
10
10
11
11
00
01
00
00
00
11
11
00
01
10
00
00
10
11
01
01
01
11
11
10
00
00
10
00
01
10
10
10
00
10
00
11
00
11
11
00
01
01
00
00
00
10
10
00
10
01
00
00
10
00
00
01
10
11
00
00
10
10
10
00
00
11
11
11
11
00
00
10
00
01
10
10
10
01
11
10
01
01
01
11
11
10
10
01
00
00
11
11
00
10
10
10
00
00
10
00
00
01
11
01
10
01
10
10
00
10
00
11
10
00
11
00
11
00
10
00
11
00
00
00
00
10
01
10
10
10
00
10
10
11
10
11
10
11
10
10
10
00
01
11
10
00
10
00
01
11
10
01
11
11
10
00
00
11
10
00
01
10
10
01
00
00
11
00
11
11
01
01
10
10
00
01
10
10
01
10
00
00
01
00
00
00
11
00
11
10
01
01
11
00
00
10
10
10
00
00
00
10
00
10
10
00
01
10
01
00
01
01
10
11
01
00
10
00
01
00
10
10
00
11
11
01
10
00
00
00
10
10
10
00
00
10
00
10
00
00
01
10
11
01
11
00
10
00
00
00
10
00
00
10
10
11
00
10
01
10
10
10
00
01
00
10
00
00
10
11
11
00
01
10
10
01
00
00
11
11
00
01
10
10
00
00
11
10
10
01
11
11
00
01
10
01
10
01
10
11
00
00
01
01
00
10
10
00
01
00
11
11
10
00
00
10
10
10
01
10
10
00
10
11
00
11
00
01
10
10
11
11
11
01
10
11
10
00
00
11
00
00
00
00
00
01
10
10
10
10
00
10
00
00
00
11
00
00
00
01
00
01
10
00
11
11
00
10
00
00
10
11
00
00
01
11
10
10
10
11
10
10
10
11
10
01
10
00
11
10
10
00
01
10
00
10
00
10
00
10
10
00
11
10
10
00
00
11
11
00
01
11
00
01
01
00
11
10
00
10
01
00
10
11
01
00
11
00
01
10
00
00
00
11
01
11
10
01
00
01
00
01
10
11
01
00
11
00
00
10
00
01
00
10
10
10
10
11
01
00
10
00
00
10
10
00
10
10
10
01
01
10
01
10
10
00
11
10
10
00
00
10
01
01
10
00
01
10
10
10
00
11
00
00
10
00
00
00
01
00
10
10
10
11
00
00
10
10
00
00
10
00
00
10
00
10
10
11
01
11
00
00
11
10
00
01
11
00
10
10
10
00
00
10
10
10
01
10
00
00
01
00
10
00
10
10
11
00
10
10
01
10
00
00
01
11
10
00
00
00
00
10
10
11
00
01
10
11
01
11
00
00
00
10
11
11
00
01
00
01
10
10
10
01
11
01
01
11
01
01
00
10
10
01
00
00
11
10
11
10
00
00
00
10
01
00
10
01
00
00
00
11
10
10
00
10
00
11
11
00
11
10
00
01
00
10
11
10
00
10
00
00
10
11
10
10
01
10
10
10
11
11
00
10
00
11
01
00
00
10
11
00
11
10
11
00
00
00
11
10
00
11
00
10
10
00
10
10
01
01
01
10
10
10
00
10
10
10
00
11
11
01
01
10
11
01
00
00
10
10
01
01
00
11
10
10
10
10
11
00
00
10
11
11
10
01
10
00
11
11
11
11
01
01
10
00
00
10
10
00
00
10
01
00
10
01
00
00
10
00
11
11
01
00
10
01
00
10
10
11
10
00
10
10
11
01
11
11
10
00
01
10
10
00
01
10
10
10
11
11
11
10
00
11
10
11
00
11
10
10
00
00
11
10
10
00
10
10
00
11
00
10
11
10
10
00
10
10
01
00
10
00
11
00
00
11
00
00
11
10
10
10
11
00
10
11
00
10
00
00
10
00
10
10
00
01
01
01
10
01
00
11
10
10
10
01
10
11
11
01
00
11
11
00
01
10
11
00
10
11
01
10
10
00
01
10
00
10
10
00
01
01
00
00
10
10
00
11
00
11
10
01
00
10
11
01
10
10
10
00
00
10
10
10
01
00
10
00
00
10
00
10
11
10
00
10
11
00
11
10
11
00
10
10
01
10
10
00
01
10
00
10
11
00
10
10
00
00
10
10
10
01
10
11
10
01
01
00
10
10
10
01
01
01
10
00
01
11
11
01
11
11
00
01
00
00
10
11
10
10
00
01
00
01
11
11
11
10
00
10
10
00
10
11
00
11
01
00
00
11
01
00
10
00
10
00
00
11
10
11
00
10
11
10
11
10
00
00
01
10
10
11
01
00
01
10
10
10
11
11
01
00
10
01
10
10
01
00
11
00
01
10
01
10
00
10
01
00
10
00
01
10
11
10
00
10
00
10
10
00
00
00
01
10
10
00
10
01
00
00
10
00
10
00
10
01
11
00
01
00
00
11
01
00
11
10
00
11
10
00
00
10
11
10
11
00
10
10
10
01
10
10
01
10
00
00
11
10
10
00
10
11
10
10
01
11
11
11
01
10
00
11
11
10
00
00
00
01
00
00
11
10
10
00
01
10
10
11
11
00
01
10
00
00
11
00
00
10
01
00
00
10
11
00
11
01
00
10
00
01
10
01
00
10
01
10
00
01
00
10
10
10
01
11
10
10
10
00
10
00
10
00
01
11
10
10
10
01
00
01
01
00
00
00
00
10
00
01
10
11
00
00
10
00
01
00
00
11
10
10
11
11
01
10
10
00
00
10
10
10
01
11
10
10
00
00
00
11
01
01
10
10
10
10
11
00
11
10
01
00
10
00
00
10
10
10
01
00
10
11
00
10
10
01
00
11
00
00
01
01
00
10
10
01
10
00
00
10
10
10
01
01
00
10
01
10
10
00
10
00
00
10
00
00
01
01
11
00
10
11
11
01
00
10
10
00
00
00
01
10
00
00
11
00
10
11
10
01
00
00
01
10
11
01
00
10
00
00
00
10
11
01
10
01
01
11
10
10
01
00
00
11
10
00
00
10
00
11
00
00
11
00
11
00
10
10
00
01
00
00
10
10
00
00
10
10
10
10
11
01
01
11
01
00
10
00
00
10
00
00
00
10
10
00
11
00
11
11
00
00
00
10
00
01
00
01
00
10
11
10
10
00
00
11
11
10
01
11
11
01
01
10
10
01
00
00
00
10
10
00
01
11
00
00
00
10
11
11
10
01
11
01
00
11
00
11
10
10
00
00
11
11
01
11
11
00
11
10
01
10
11
01
00
11
10
11
10
00
11
00
01
00
10
10
01
00
10
10
01
10
01
00
10
00
01
00
10
10
01
10
00
01
11
00
01
00
00
00
00
11
01
01
11
10
10
10
10
00
01
10
10
10
00
11
10
00
00
00
00
10
01
10
10
01
01
10
11
01
10
00
00
10
00
10
10
00
01
10
00
00
10
11
01
00
00
10
10
01
01
11
00
10
10
00
10
00
11
10
00
00
10
11
11
00
00
00
10
01
01
10
10
01
00
10
00
10
10
00
11
10
11
00
00
00
00
00
10
11
00
10
10
01
00
10
00
00
11
00
10
00
11
10
11
00
11
10
01
00
01
11
10
10
01
00
11
11
00
00
10
10
10
00
00
00
10
11
11
00
10
10
11
10
00
10
01
11
11
10
10
10
01
10
10
01
01
11
10
10
00
00
10
10
10
00
10
00
10
10
00
01
00
01
11
10
00
00
00
00
11
10
10
01
01
10
00
01
01
00
11
01
11
11
11
00
10
00
01
11
00
01
10
01
11
11
00
10
11
10
01
00
10
10
10
10
00
11
10
10
11
11
00
10
10
01
10
01
00
11
00
00
01
00
11
01
00
10
00
00
00
11
10
10
00
00
11
11
00
00
10
01
10
00
10
10
10
10
10
00
00
00
00
00
10
11
10
11
01
00
00
11
00
01
10
11
10
01
10
10
11
01
00
01
11
10
11
01
11
11
00
00
11
11
01
00
11
11
00
11
11
10
00
00
00
10
10
00
10
11
10
10
11
00
11
11
00
01
00
01
00
01
00
10
10
11
10
01
10
01
10
01
01
10
01
01
00
10
10
11
01
01
11
01
01
10
10
10
11
10
10
00
00
10
10
10
00
00
10
11
11
10
10
00
01
10
00
00
10
10
01
11
10
10
10
10
11
10
00
11
11
00
10
00
00
00
10
11
10
11
10
00
00
00
10
10
00
01
01
00
00
10
00
00
00
00
00
11
10
01
11
00
01
10
11
00
00
10
01
00
10
00
00
10
11
10
01
10
11
10
00
00
10
10
00
00
11
01
10
00
11
00
01
10
01
00
10
10
01
10
10
00
11
10
01
11
11
10
10
10
01
00
11
10
00
10
10
10
10
00
10
10
00
01
00
00
00
01
01
11
11
10
00
10
10
11
01
01
10
11
00
11
10
11
01
01
00
10
00
00
10
10
00
01
01
10
10
00
01
10
10
10
01
00
10
11
00
10
01
01
00
01
10
10
00
01
10
10
10
10
01
10
10
10
10
01
00
11
10
10
00
10
10
01
00
10
10
11
00
00
10
11
10
00
00
10
01
00
01
00
00
00
00
00
00
10
10
01
00
01
00
00
10
10
00
10
00
00
10
01
01
11
11
00
01
11
01
10
10
00
01
10
00
00
10
00
10
10
00
00
11
00
01
10
10
00
00
10
00
10
11
10
00
00
10
10
10
01
11
00
01
00
10
11
01
10
11
10
01
01
11
11
10
10
00
01
10
01
01
11
10
01
10
01
11
10
00
01
10
00
01
10
11
10
11
10
00
00
00
01
11
10
10
01
11
10
00
00
00
00
10
01
01
01
10
11
11
00
00
10
00
00
11
11
10
01
11
11
10
11
10
01
01
10
00
00
11
10
11
00
00
00
10
10
00
00
10
11
10
10
11
10
11
10
10
01
01
00
00
10
11
11
00
00
00
11
10
00
00
00
11
11
00
00
10
10
00
00
11
10
00
00
00
00
00
10
10
11
10
01
00
10
10
01
10
11
00
01
00
00
01
10
00
00
01
11
10
10
00
10
10
00
01
00
10
00
01
11
11
10
01
10
11
01
01
01
11
00
00
01
10
01
10
10
10
01
00
10
11
10
11
00
00
10
00
01
11
00
00
00
10
11
01
11
01
01
10
11
00
10
00
00
10
10
11
00
00
10
00
00
10
10
11
10
00
01
11
00
01
10
01
01
11
10
10
00
01
10
01
00
01
11
00
00
11
10
00
01
11
01
01
01
00
01
10
11
00
01
10
01
00
11
00
00
00
10
01
01
11
10
11
00
10
01
00
00
11
10
00
00
10
10
11
10
00
10
00
10
10
00
00
00
00
00
10
10
00
10
10
11
00
10
10
00
00
10
10
00
00
11
01
11
10
10
00
00
00
00
01
11
00
00
10
00
00
00
00
11
01
01
10
00
10
10
10
01
01
11
10
01
10
10
10
10
00
11
10
00
10
00
00
00
11
11
00
10
00
01
11
01
11
10
01
01
00
00
00
11
11
01
00
10
10
00
01
10
10
00
00
11
00
10
10
10
00
00
10
00
00
10
10
10
00
11
10
00
11
10
10
11
11
10
10
11
10
01
00
01
11
11
11
11
00
00
00
10
00
01
11
11
11
00
11
00
00
00
00
11
01
00
10
11
00
00
11
10
10
01
10
00
00
10
00
00
10
10
00
00
11
10
10
10
01
11
10
00
10
10
01
01
00
11
10
11
00
01
10
10
10
00
10
11
00
00
00
10
10
00
10
01
01
00
00
11
00
00
00
11
11
10
10
00
11
01
11
01
00
00
10
11
10
00
00
10
01
00
00
10
10
01
00
01
11
00
00
00
00
00
00
10
01
00
01
01
11
10
10
01
10
10
11
00
00
11
10
10
00
10
11
10
10
01
00
00
01
10
10
10
00
00
01
10
00
01
00
10
00
00
00
01
00
01
10
10
10
01
00
00
11
10
01
01
00
00
00
11
11
01
00
01
10
10
01
10
10
00
00
10
00
00
10
01
10
11
01
11
00
01
11
10
10
11
00
11
10
11
10
01
01
00
10
10
00
10
11
10
10
10
00
01
11
10
01
00
01
00
01
01
10
00
01
01
10
11
11
01
00
11
11
00
11
10
01
10
00
01
10
10
00
10
00
00
00
10
01
00
10
00
00
10
00
00
10
00
00
10
00
00
10
11
11
00
01
11
11
00
00
10
10
00
00
11
10
00
01
01
11
10
10
00
10
00
01
11
00
01
00
00
10
00
00
10
00
00
00
10
11
01
10
10
00
01
10
00
10
00
11
10
00
10
10
01
10
10
00
00
01
01
00
11
10
01
00
11
11
01
10
10
00
00
00
11
10
10
00
01
10
10
10
00
11
00
01
11
10
00
01
10
10
01
01
00
10
01
00
11
10
10
00
00
00
10
00
01
00
01
00
01
00
10
10
10
00
11
01
10
00
00
00
00
10
10
00
00
10
10
11
00
00
10
11
00
00
00
00
10
10
01
10
10
01
01
11
11
11
01
10
01
00
11
10
00
01
10
00
00
00
10
01
10
10
11
10
10
10
11
01
00
01
11
11
10
11
10
00
00
10
01
00
10
10
01
00
00
11
10
00
00
01
10
00
00
00
10
00
01
11
00
01
01
10
01
00
10
11
00
00
00
11
11
00
11
10
00
01
00
10
11
10
00
01
10
10
00
01
11
10
00
00
00
11
00
10
11
11
00
01
00
10
10
00
10
00
01
11
10
10
11
01
10
10
00
10
10
00
00
10
11
00
00
00
10
00
10
10
01
10
11
11
10
11
10
11
00
11
10
00
00
10
10
00
10
10
10
10
00
10
10
01
00
10
00
10
10
00
01
10
11
00
11
10
10
00
01
10
11
00
01
10
00
10
01
01
11
00
11
10
00
10
11
00
00
10
11
00
10
10
01
01
11
00
11
10
00
10
10
00
00
10
00
11
11
00
00
10
10
10
11
10
01
10
01
10
01
00
00
11
10
00
00
10
11
00
01
10
11
01
10
00
01
00
11
00
00
10
00
11
11
01
01
00
11
10
11
10
01
01
10
11
10
01
10
10
01
01
11
11
00
10
10
01
01
10
11
00
01
10
11
00
00
10
00
10
11
00
11
00
11
00
01
10
10
00
00
11
00
00
10
11
10
00
00
10
10
00
00
00
10
10
10
01
00
11
00
00
10
01
10
00
00
10
00
00
10
11
10
11
10
10
11
10
00
10
01
11
10
11
00
10
01
00
10
00
10
10
00
00
10
01
00
10
01
10
10
00
01
11
10
01
10
01
00
10
11
01
00
00
11
00
10
10
10
01
01
11
01
01
01
00
11
10
10
00
00
11
11
00
01
10
10
00
00
10
10
00
00
10
01
01
10
11
11
01
01
10
11
11
11
00
01
10
00
10
11
00
11
11
11
10
10
10
00
00
10
00
00
00
00
00
00
11
00
01
10
10
00
10
11
00
01
10
10
10
10
00
01
10
11
11
10
10
11
01
10
10
01
01
10
11
00
11
00
01
10
10
10
01
10
10
10
00
00
10
10
10
01
00
00
00
00
10
00
00
10
01
00
00
10
00
10
10
10
00
00
11
01
01
10
10
01
01
00
10
10
00
01
10
10
00
00
10
11
01
10
10
11
00
10
11
01
00
10
00
11
10
00
01
10
00
01
00
11
01
00
00
10
10
10
01
10
00
10
11
01
00
10
10
00
00
00
00
00
00
11
10
01
10
00
11
11
11
11
00
00
01
10
11
00
01
10
10
10
10
00
00
10
11
10
01
10
10
00
00
00
10
10
11
10
00
00
11
00
00
10
10
10
10
10
01
01
01
10
00
11
10
11
10
00
01
01
01
10
00
00
10
00
10
10
00
01
10
00
00
00
11
00
00
10
11
11
00
10
10
00
10
01
01
10
10
01
10
10
00
01
10
11
01
00
11
10
10
01
00
10
10
10
10
11
00
00
00
10
00
10
10
00
10
01
10
01
00
10
10
11
00
11
10
00
00
01
00
01
00
10
10
00
10
10
10
00
10
11
00
11
11
01
11
00
11
10
11
01
11
10
00
00
01
01
10
01
00
11
11
10
10
10
01
00
11
10
10
10
00
01
10
00
00
10
01
10
10
10
10
00
01
10
01
01
10
00
11
01
00
11
00
11
00
10
00
00
10
10
10
00
00
10
00
00
10
11
00
10
00
00
00
10
10
10
01
01
11
11
01
01
01
01
00
10
10
00
01
01
10
10
00
00
10
01
00
00
10
10
10
01
10
10
11
11
10
00
10
10
10
00
01
00
01
10
10
11
00
01
11
10
00
00
10
10
10
00
10
00
10
10
11
11
11
10
10
01
11
11
10
01
01
11
10
00
11
10
11
01
10
10
10
00
00
00
10
00
10
00
10
01
00
11
10
11
00
00
00
00
01
10
00
01
00
11
10
11
11
01
00
00
10
10
10
00
10
10
10
10
10
00
00
00
00
00
00
00
00
00
11
10
10
10
10
10
00
00
10
00
01
11
11
11
00
01
01
11
01
00
10
10
11
00
01
10
10
10
00
01
01
11
10
11
01
01
01
01
10
00
10
10
00
00
11
11
10
10
11
00
00
10
00
11
11
01
10
10
11
11
10
11
01
00
00
00
01
10
00
01
10
00
00
10
11
00
10
01
01
00
01
01
11
11
01
00
10
10
00
10
10
00
00
11
10
10
10
01
00
01
00
10
10
00
00
11
01
00
01
10
00
10
00
00
10
10
00
00
10
10
10
10
00
11
10
01
00
11
00
10
00
10
11
00
00
11
10
00
10
01
00
10
00
10
00
00
10
10
10
00
00
11
11
10
10
10
00
11
10
00
10
11
10
11
10
01
00
10
10
10
10
00
01
10
00
01
01
11
01
01
10
11
10
10
00
00
00
11
10
00
00
11
10
00
00
01
11
11
00
10
11
00
10
10
01
01
10
00
10
00
11
10
00
10
10
01
00
10
10
10
00
01
10
10
00
11
01
10
10
01
00
11
00
11
01
00
00
01
10
10
01
00
00
10
10
01
01
00
00
10
11
11
00
10
01
11
11
10
11
10
11
00
00
11
01
11
10
01
00
01
00
00
10
00
00
11
11
11
00
00
00
10
11
01
00
11
00
00
10
00
10
00
10
10
00
10
00
11
00
00
10
00
01
11
01
10
01
00
00
10
10
00
01
00
00
01
01
01
00
10
01
10
10
11
10
00
00
10
11
11
11
11
00
01
10
01
00
00
10
11
01
00
10
11
00
10
00
11
00
00
00
11
10
10
10
00
00
01
10
00
00
01
10
10
10
00
00
10
10
10
10
10
00
01
10
10
00
01
10
10
10
00
10
01
00
10
11
10
00
10
01
00
11
10
10
10
00
01
10
11
00
00
00
00
00
01
10
10
11
00
11
00
01
11
11
11
01
10
10
11
01
11
11
00
00
10
00
01
01
11
11
10
10
00
01
01
10
10
00
00
10
01
00
10
10
10
11
10
00
00
00
01
01
11
11
00
00
10
10
11
00
00
10
10
11
00
00
10
01
00
10
10
10
10
10
01
00
00
01
10
00
10
11
10
01
10
00
00
10
11
11
10
10
00
00
10
11
00
00
11
00
01
01
00
11
10
00
00
10
00
10
10
00
00
11
01
10
00
10
00
10
11
10
11
00
00
10
01
10
00
00
11
11
11
00
10
00
10
00
10
10
00
00
10
00
11
10
11
10
01
00
00
00
10
01
00
10
10
10
01
11
01
10
10
00
10
00
01
00
10
01
00
11
10
00
00
01
11
10
01
01
01
11
01
01
10
10
11
11
01
00
11
11
11
11
01
00
11
00
10
10
00
00
10
10
01
10
00
10
10
00
10
10
11
10
00
00
11
11
10
10
00
00
11
10
10
10
01
10
00
01
00
10
00
10
10
01
00
10
01
00
00
00
01
00
01
00
11
10
10
00
00
11
10
11
00
01
10
01
10
01
00
11
10
01
10
10
00
01
00
11
11
00
01
10
10
00
01
01
10
00
00
10
00
01
10
10
00
10
11
11
00
01
11
11
10
11
11
11
11
00
01
00
10
10
00
11
11
00
00
01
11
00
10
00
10
00
10
10
00
01
10
11
00
10
00
11
00
00
10
10
10
00
00
01
10
10
10
00
11
00
00
10
10
00
10
10
00
00
00
00
10
11
10
11
10
10
00
00
11
01
10
10
01
00
10
10
00
00
00
11
11
10
01
01
11
10
00
10
10
11
01
10
10
00
00
11
10
00
01
11
11
10
00
00
10
00
10
10
00
10
01
01
01
10
11
11
01
00
00
10
10
01
01
00
00
00
11
10
00
00
10
10
11
10
00
10
11
01
10
01
00
00
10
11
01
00
00
11
00
10
00
01
11
11
00
10
00
00
00
11
10
01
10
01
11
10
10
01
01
10
10
00
10
00
00
11
01
00
10
11
00
01
10
01
11
10
11
10
01
00
00
00
11
10
11
10
01
01
10
10
10
00
10
00
01
10
11
00
00
01
10
00
11
10
00
00
10
00
00
10
11
10
01
11
00
01
00
01
11
11
01
00
11
10
00
00
10
10
00
01
10
01
10
11
00
10
10
01
01
10
00
00
01
11
00
01
10
01
00
11
01
11
11
00
10
00
00
01
10
11
00
01
11
10
10
01
10
10
00
10
00
10
10
10
10
01
10
11
11
00
01
00
01
00
10
01
01
10
10
10
01
10
01
01
11
11
00
11
10
01
00
00
00
11
01
00
00
10
10
10
10
01
10
00
00
10
00
10
10
01
00
01
00
01
10
10
00
00
10
00
11
10
11
11
00
00
00
10
00
10
10
10
10
01
00
10
10
11
10
01
00
01
11
00
11
00
10
00
10
11
10
00
00
10
00
10
00
10
00
00
00
01
10
10
11
00
01
10
11
10
01
00
10
11
01
10
01
10
01
01
00
00
10
00
00
10
11
11
10
01
01
11
10
00
00
10
00
00
10
01
10
11
11
11
00
00
01
00
10
10
11
11
01
00
11
10
00
01
10
00
00
10
11
01
11
10
01
10
10
00
01
10
01
00
10
11
11
00
10
10
11
00
00
10
01
01
00
00
10
00
00
00
00
11
11
10
00
11
11
01
11
10
00
10
00
00
10
10
00
00
10
10
00
10
10
10
10
10
10
10
10
11
01
11
01
10
01
00
01
00
11
10
00
00
11
11
00
00
10
10
00
01
10
10
10
10
00
11
10
01
10
10
10
00
11
00
01
10
00
01
10
01
00
10
10
10
00
10
00
10
11
10
00
00
10
01
00
00
10
01
01
01
10
10
01
00
00
00
00
11
00
00
10
10
11
10
00
10
10
00
11
00
10
01
01
01
10
00
01
00
01
00
10
10
01
00
00
01
10
10
10
01
11
01
11
00
00
00
00
11
10
10
00
01
11
00
00
11
10
01
10
11
01
00
11
11
00
01
10
10
01
01
10
10
00
00
11
00
11
10
10
00
00
00
01
11
00
11
10
10
11
11
00
00
10
10
11
10
11
01
00
10
10
01
11
00
01
00
10
10
00
00
10
10
10
00
00
10
11
00
10
11
00
01
01
11
10
10
00
00
00
10
11
10
01
00
10
01
00
00
11
10
01
10
10
00
00
10
10
00
00
10
00
10
01
01
00
00
10
00
11
00
11
10
10
10
10
00
11
10
01
10
11
10
11
10
00
00
11
00
01
10
01
10
10
10
01
11
11
10
00
11
10
00
01
10
11
01
10
10
10
10
00
10
10
01
01
11
10
01
11
10
00
00
01
10
10
00
00
10
00
00
10
11
11
00
00
00
00
11
00
11
10
00
00
00
10
10
10
00
10
00
00
11
10
10
00
10
00
10
10
00
00
11
11
00
00
01
00
10
00
01
00
01
10
10
10
11
10
10
00
01
01
10
01
10
10
00
00
01
11
10
00
00
10
11
11
10
01
00
10
00
00
01
00
11
10
11
10
00
00
10
00
00
00
00
10
10
10
01
10
11
00
01
00
10
10
11
10
00
00
10
00
01
10
00
10
01
00
10
10
00
10
11
00
10
00
00
00
10
00
10
10
00
10
01
10
10
01
10
00
00
00
00
01
00
11
01
00
01
00
01
01
00
11
10
11
10
00
00
00
00
10
01
00
10
10
01
00
00
10
11
10
01
11
10
10
10
00
10
10
11
00
01
10
01
00
00
00
00
10
11
10
10
10
00
00
00
00
11
01
10
11
01
01
01
10
00
00
01
10
00
00
00
10
10
01
10
10
11
00
11
00
10
10
11
10
11
11
00
10
10
10
00
00
10
01
00
00
10
00
00
10
00
00
10
00
00
10
00
10
11
00
00
10
10
11
00
10
00
00
00
00
00
10
10
10
11
10
00
01
10
00
00
00
01
10
10
11
10
01
11
10
01
01
11
00
11
10
00
11
10
01
01
01
10
01
01
10
10
10
00
01
10
11
00
10
01
11
10
00
01
10
00
10
01
11
00
01
10
11
11
10
00
10
10
00
00
00
10
00
10
00
00
10
00
00
11
11
00
11
11
00
10
10
00
00
11
10
00
01
01
00
00
11
11
10
01
00
10
10
00
11
10
10
01
10
11
00
11
10
01
11
10
00
01
10
10
00
00
10
00
00
01
00
00
10
01
10
11
01
00
01
10
11
10
11
00
11
00
01
01
10
10
10
01
00
01
11
11
10
11
00
11
10
00
00
10
10
01
10
11
10
01
01
11
10
00
10
11
11
00
01
11
01
01
11
00
00
00
10
00
11
10
01
01
01
00
10
00
10
10
00
01
10
00
11
00
00
10
11
10
01
01
10
00
00
00
00
00
10
00
00
01
00
10
11
00
10
00
10
01
00
10
10
00
10
00
01
10
11
10
10
10
00
11
00
00
10
10
01
10
00
10
10
10
10
10
10
01
00
11
00
00
00
01
01
10
11
01
10
10
10
10
11
01
00
10
00
00
11
10
10
00
11
00
00
00
10
10
01
00
11
10
00
11
00
00
00
01
11
10
11
01
11
00
11
00
11
10
01
00
00
01
11
00
00
11
11
00
10
00
10
10
11
00
00
11
11
00
11
00
00
10
00
10
00
00
10
00
00
01
00
00
10
10
10
10
01
10
10
01
00
00
00
11
11
00
00
10
10
00
10
10
00
10
11
00
11
10
10
10
00
00
00
01
10
00
10
11
10
10
10
11
10
01
11
00
10
00
11
10
10
01
11
00
00
10
10
01
00
10
01
00
00
11
11
01
11
10
01
01
11
01
00
11
10
10
00
11
01
00
00
10
11
11
10
00
00
10
10
00
01
10
10
10
00
00
00
11
10
11
00
10
10
01
10
01
01
10
01
00
00
00
01
10
00
10
00
01
00
00
10
01
00
10
10
00
10
10
10
10
00
11
11
11
10
01
11
00
00
11
00
01
00
10
01
10
00
01
10
11
10
00
10
00
10
10
10
00
10
11
10
10
11
00
00
00
01
11
01
00
00
10
01
11
10
00
00
01
00
10
00
10
10
11
00
00
11
00
10
10
00
10
10
11
00
00
10
01
00
11
10
10
00
10
00
00
00
11
10
01
01
00
00
10
00
00
10
10
11
01
10
10
10
01
00
10
10
00
00
10
00
00
10
01
00
11
10
00
11
01
11
00
00
10
00
10
10
01
10
11
00
11
01
11
11
10
00
10
10
10
00
00
11
00
11
10
11
00
11
10
11
11
00
00
00
00
10
10
01
00
10
00
10
10
10
01
00
11
10
01
00
10
10
00
00
10
10
00
00
10
00
01
00
01
11
11
00
00
00
11
00
00
10
10
00
01
00
10
10
00
10
00
10
00
00
10
00
10
11
11
00
01
00
01
01
11
10
00
10
10
01
01
01
10
01
01
11
10
10
00
01
11
10
10
01
10
00
10
10
10
10
01
00
11
10
00
11
11
11
11
10
00
00
00
11
00
00
10
00
10
10
00
00
00
00
01
01
01
10
10
10
00
01
01
10
01
10
10
10
11
00
00
00
00
00
00
11
01
01
11
11
10
00
10
10
10
00
01
00
00
00
00
01
10
10
11
10
00
01
00
00
01
11
10
01
10
11
00
01
11
10
10
00
01
10
01
00
10
00
00
10
10
11
00
10
00
01
01
11
00
01
10
01
11
10
00
10
11
00
01
00
11
10
10
11
10
01
00
11
11
01
01
10
10
00
11
10
00
00
00
10
11
10
10
01
00
01
00
00
00
10
10
01
10
10
01
10
11
00
10
11
11
10
00
10
10
10
10
00
10
00
00
10
11
11
00
00
10
00
11
10
00
00
00
01
00
00
10
10
11
10
00
00
00
00
10
10
10
10
00
00
00
10
11
10
00
11
10
01
10
11
10
01
01
01
01
11
10
00
01
10
00
00
00
10
10
00
10
00
01
10
11
00
10
01
11
10
01
01
10
00
01
11
01
11
10
01
00
01
01
10
01
11
10
00
01
10
00
10
10
10
11
10
00
00
11
11
11
01
00
11
10
01
10
10
00
00
00
11
01
00
10
10
00
00
01
10
10
00
00
11
00
11
10
10
01
00
00
11
01
00
00
10
10
10
01
10
00
10
11
00
00
10
00
00
00
00
10
10
00
10
10
00
00
00
00
11
10
01
00
00
01
10
01
00
01
11
11
00
10
00
10
00
01
10
11
10
10
01
01
00
00
10
11
00
01
11
10
01
10
00
00
00
10
10
00
00
10
11
01
00
00
11
11
01
00
11
10
01
10
11
00
01
01
11
01
00
10
10
00
00
11
00
00
01
01
00
00
10
10
00
00
11
00
10
10
00
01
00
10
00
10
00
00
01
10
11
01
00
10
10
01
10
10
00
10
00
10
00
00
01
10
00
10
00
10
10
10
00
00
10
00
00
00
11
10
00
10
00
00
10
01
00
11
10
00
10
10
01
10
10
01
01
11
00
10
11
00
01
10
00
00
00
11
10
01
00
01
00
11
00
01
10
11
00
00
10
11
10
01
01
00
10
11
01
00
11
11
10
00
01
10
10
00
00
00
10
00
10
00
10
10
11
01
01
11
01
00
10
10
11
10
01
00
11
00
11
11
01
00
10
10
10
01
00
11
11
00
10
10
00
00
00
10
10
10
01
00
01
01
11
10
00
11
11
00
00
10
10
00
00
00
00
10
10
10
10
01
00
10
00
10
11
10
11
00
01
11
10
10
00
00
11
00
10
00
10
00
11
00
00
00
01
11
11
11
01
10
00
01
11
00
00
10
00
10
11
11
00
00
01
00
11
00
11
10
01
10
10
10
00
01
10
10
00
00
11
10
01
01
10
01
10
11
10
00
00
11
10
00
10
00
00
10
11
00
11
10
00
00
00
01
01
01
10
00
10
00
10
11
10
00
11
10
01
00
00
10
00
01
10
10
10
00
11
01
10
11
00
01
00
00
10
10
01
10
10
01
10
11
00
00
11
00
01
11
01
01
10
10
01
11
00
10
10
00
10
11
00
01
10
10
10
00
00
10
10
00
01
11
00
01
11
00
11
01
00
00
11
11
00
00
00
11
10
00
10
11
10
01
00
00
10
10
11
10
00
10
10
00
00
11
01
10
00
10
00
01
11
00
00
11
10
00
01
11
10
10
00
10
00
10
10
01
00
00
11
11
10
11
00
00
00
00
01
10
01
00
00
00
10
00
10
10
10
10
00
00
00
00
00
11
11
10
11
11
00
00
10
10
00
10
00
01
10
10
00
01
11
11
10
00
00
11
10
10
00
01
10
01
00
10
00
00
10
10
10
00
01
10
00
00
10
11
10
11
01
10
01
01
00
10
00
00
00
01
11
10
00
10
10
00
00
10
00
00
01
00
00
11
00
01
10
11
00
01
11
11
10
10
00
00
00
10
01
00
10
00
11
10
10
01
00
10
00
01
10
00
10
11
01
10
00
00
11
00
00
10
00
00
01
10
10
10
00
01
10
11
00
01
10
01
00
00
00
10
10
01
01
10
11
11
00
10
10
00
00
10
11
10
10
00
00
10
01
00
11
00
00
00
10
00
10
00
00
00
00
10
10
10
10
10
00
11
00
01
10
10
10
11
10
10
10
00
01
10
10
00
11
00
00
11
11
11
00
11
00
01
10
10
11
01
01
10
10
01
10
10
00
10
10
10
10
00
00
10
11
01
01
01
10
10
10
10
01
10
11
00
01
10
01
00
10
10
10
10
00
10
11
00
00
00
10
10
11
10
00
01
10
10
01
11
11
10
10
10
11
10
00
00
11
01
10
10
01
10
10
00
11
10
00
10
11
00
00
10
00
00
01
00
11
01
10
00
10
10
01
10
10
10
00
01
11
00
11
10
01
10
00
00
10
10
11
10
00
11
10
10
00
11
11
00
01
00
10
00
10
11
10
10
10
10
01
00
00
10
11
01
10
11
00
10
11
10
10
10
00
10
10
00
00
00
11
00
10
11
01
10
00
10
10
01
10
10
10
10
00
01
11
10
11
00
11
10
00
01
00
10
11
00
10
10
00
01
10
11
10
11
01
10
00
11
00
01
00
01
11
01
00
00
01
10
00
10
10
11
00
00
00
00
01
10
01
01
00
10
00
11
11
10
01
00
01
10
00
10
00
00
10
00
10
10
11
10
10
00
11
01
01
10
11
10
00
10
01
00
00
10
11
00
00
10
01
00
00
00
10
01
00
11
10
11
00
11
00
01
01
11
00
00
00
10
00
11
11
00
01
11
00
10
01
00
10
10
11
00
00
10
00
00
00
10
00
10
11
11
01
11
00
00
11
10
01
00
10
00
11
00
10
00
10
10
00
00
10
00
01
00
01
10
00
01
10
00
10
00
01
00
01
00
10
01
10
10
10
00
00
11
00
00
11
00
10
10
00
10
00
00
10
00
00
00
00
00
10
10
00
00
10
00
10
00
10
10
11
11
11
11
01
10
10
00
01
01
10
10
01
01
00
00
00
00
00
10
10
01
00
01
10
11
00
10
10
00
00
11
11
10
00
00
11
00
11
00
00
11
10
11
00
00
11
10
00
01
11
11
00
00
01
00
00
10
10
10
00
00
10
10
00
11
00
00
01
00
01
11
10
11
00
00
00
00
10
00
00
00
11
11
01
10
11
00
11
10
00
11
01
00
10
11
00
00
10
11
10
10
00
11
10
01
01
01
01
00
00
00
01
11
10
01
10
10
00
01
00
01
00
10
00
11
10
10
00
10
10
11
00
00
01
10
11
00
11
00
10
10
00
10
11
01
00
10
10
11
10
00
10
10
11
00
11
10
00
00
01
11
00
00
10
10
01
00
01
10
11
01
11
01
01
10
11
01
00
10
11
10
01
01
00
10
11
00
10
11
00
11
10
00
01
00
00
10
10
00
00
00
10
10
00
10
11
01
00
00
10
10
00
10
10
00
00
10
01
11
01
00
10
00
11
00
10
11
00
00
11
00
10
10
10
10
10
00
00
00
10
10
00
01
00
10
10
00
10
01
00
01
11
10
10
00
10
01
00
11
10
01
00
11
10
01
10
10
10
00
00
10
00
00
10
11
10
10
01
00
00
00
00
10
01
10
10
00
10
00
01
11
11
00
00
11
11
01
01
00
10
01
10
10
10
01
00
01
10
11
10
00
00
10
11
10
00
01
10
10
00
00
01
00
00
01
11
01
00
00
10
10
00
00
10
10
10
00
11
00
00
00
10
01
00
01
11
00
01
00
10
00
00
10
00
00
00
11
10
01
00
10
10
00
10
10
11
01
11
01
00
00
01
01
11
11
00
10
00
00
00
11
00
11
10
00
10
01
00
10
10
00
00
10
00
11
01
11
10
11
10
11
00
01
01
10
11
00
11
10
00
01
00
10
10
10
01
00
10
10
10
00
11
10
01
00
01
10
00
11
11
00
00
00
00
10
01
11
10
00
00
00
00
10
01
10
11
01
10
10
00
11
10
00
00
00
11
00
10
00
00
10
10
01
10
00
00
11
00
10
10
00
00
10
11
10
11
00
00
00
00
10
00
10
11
11
01
11
10
01
11
00
10
01
01
11
00
00
10
11
11
11
10
00
11
11
00
01
00
10
00
00
10
01
11
10
11
01
00
11
00
01
10
11
01
11
10
00
00
10
10
00
00
11
00
10
10
00
10
00
10
01
10
10
01
10
10
00
00
01
10
11
10
00
10
00
10
00
01
10
00
10
11
01
01
11
11
00
00
10
10
01
11
00
00
00
00
10
01
11
10
00
00
00
10
10
10
11
01
01
00
01
10
10
11
11
00
00
11
10
01
00
11
00
10
10
00
11
10
01
01
11
00
10
10
11
01
00
11
10
10
10
10
10
00
01
10
00
00
01
01
10
00
00
00
11
00
00
10
00
11
11
00
00
01
10
00
10
00
10
10
10
10
11
00
10
00
10
00
10
11
01
11
10
01
00
00
10
01
00
11
10
00
11
10
00
01
11
10
11
10
10
10
00
00
10
11
00
10
00
10
00
00
00
01
01
01
10
01
10
00
00
10
10
00
10
10
00
01
10
10
10
01
01
10
00
10
10
00
11
00
00
11
00
10
11
00
11
01
00
10
10
01
00
01
00
11
10
00
10
11
11
11
00
01
00
11
10
00
10
10
00
01
00
11
10
00
10
00
00
00
10
11
00
00
10
10
00
01
00
10
00
00
10
01
00
10
10
01
00
01
11
01
11
10
00
10
10
10
10
11
11
10
01
11
00
00
10
00
00
11
11
00
00
10
10
01
01
00
10
11
00
00
10
11
00
10
10
00
11
11
00
00
10
10
01
00
00
10
00
00
11
01
10
10
01
10
11
10
01
01
11
01
10
11
01
00
01
00
10
00
01
11
10
01
00
01
10
10
00
01
01
11
10
11
10
00
00
00
10
10
10
00
00
11
01
10
00
10
00
00
00
01
10
11
00
01
00
10
00
00
11
00
01
11
10
10
10
00
00
10
10
10
11
10
00
00
10
11
10
11
10
01
10
00
10
01
00
10
01
00
00
00
10
10
10
11
00
00
10
11
00
10
00
01
00
11
10
00
01
11
00
10
00
00
10
10
00
01
10
10
10
00
10
10
11
10
10
00
01
00
01
00
01
10
00
01
00
11
10
00
00
01
10
10
01
11
11
01
01
10
11
11
10
00
00
11
01
00
11
00
10
00
00
10
10
00
00
11
10
00
00
01
00
01
00
01
00
10
11
10
00
01
10
01
11
10
10
00
11
00
00
11
10
00
01
10
00
00
00
10
00
11
10
00
11
01
10
10
00
10
10
00
00
00
01
00
10
10
11
10
01
00
10
00
11
00
00
01
10
00
00
10
11
00
00
00
00
11
10
00
01
00
10
11
00
00
10
11
10
10
00
10
10
11
10
00
11
00
01
01
11
11
11
00
00
01
10
01
01
10
10
00
10
00
00
01
11
10
00
11
00
10
10
11
10
00
00
00
00
10
00
00
10
01
10
01
00
11
11
00
11
10
11
10
00
01
10
10
01
00
00
10
11
10
00
10
00
00
01
00
11
11
00
11
00
00
10
11
00
00
00
10
00
00
10
10
00
00
01
01
10
01
01
11
11
10
10
00
00
00
10
10
00
10
10
10
10
10
10
10
00
00
11
10
00
00
11
00
00
11
00
00
11
10
00
00
00
10
00
11
11
01
00
01
11
00
10
10
10
11
00
00
00
10
00
00
01
00
01
11
00
10
10
00
10
00
00
10
00
00
00
01
01
11
10
11
00
10
10
01
00
10
10
10
10
10
00
01
00
10
10
00
00
11
10
11
00
11
10
11
00
10
10
00
11
10
01
00
11
11
11
01
11
10
00
00
00
00
11
11
01
11
01
00
00
00
00
10
10
00
11
01
10
01
10
11
11
11
11
00
10
10
10
00
11
10
01
01
10
01
00
01
01
01
10
10
00
10
00
00
01
00
10
11
11
11
01
01
11
11
01
00
01
00
00
10
11
01
10
11
01
00
10
00
01
00
00
11
10
00
00
11
00
00
11
10
11
00
11
11
00
10
10
00
00
00
00
10
00
10
00
10
11
00
00
00
10
01
00
01
01
11
10
10
10
10
00
11
01
11
10
10
10
10
00
00
10
10
01
00
10
10
00
00
10
10
01
00
00
10
10
00
10
00
10
10
10
10
00
01
11
10
00
00
01
00
00
10
10
11
10
11
00
00
10
00
10
10
11
00
10
10
01
01
11
01
10
00
00
01
01
01
00
10
11
10
10
11
00
01
00
10
00
10
01
00
01
10
01
01
11
01
00
10
10
01
00
00
11
10
11
10
01
00
01
10
00
11
10
00
01
10
11
10
01
00
01
00
10
00
11
01
00
10
11
11
10
00
01
11
00
10
00
01
00
10
11
10
11
10
00
00
00
11
00
00
11
10
00
01
00
10
00
10
10
01
10
11
10
11
00
01
10
11
10
01
00
10
10
11
11
00
00
10
10
00
01
10
10
11
11
00
10
11
10
01
10
10
01
00
10
10
11
01
00
01
11
11
00
01
00
11
10
11
10
01
11
10
00
00
10
10
10
01
00
00
00
00
11
01
00
10
10
00
11
10
00
10
11
00
01
10
10
11
00
11
00
10
10
10
11
11
10
00
01
10
10
10
01
11
10
01
00
10
01
00
10
10
00
11
11
00
00
01
11
11
00
10
10
11
10
10
01
01
01
00
00
11
00
01
10
11
00
10
11
00
01
10
11
00
11
10
00
01
11
01
10
10
10
00
10
00
01
10
10
00
00
10
10
01
00
00
10
00
10
00
11
10
00
10
11
00
01
00
00
01
00
01
11
00
01
10
00
00
10
11
00
01
01
11
10
00
00
00
11
10
10
00
01
10
00
10
10
01
11
00
01
10
10
10
00
01
10
00
00
00
01
00
11
00
01
01
11
01
10
10
01
00
00
00
10
10
00
10
00
00
10
01
00
01
01
00
10
01
10
10
01
00
10
10
00
11
11
00
01
01
11
11
10
00
11
11
00
01
01
11
10
00
00
00
01
10
10
01
11
11
00
00
11
10
11
00
00
11
10
00
00
00
10
01
10
01
01
10
10
10
00
00
00
11
11
00
01
10
01
01
11
00
00
10
11
00
00
10
10
01
11
10
00
00
10
00
00
00
00
11
10
11
00
01
11
10
10
01
00
10
01
00
10
00
10
11
10
10
10
10
10
00
11
00
11
00
11
10
00
11
10
01
00
01
10
00
10
01
00
10
11
00
10
10
00
10
00
10
10
01
10
10
00
00
11
10
01
01
10
00
00
10
00
00
10
00
11
10
00
10
10
01
00
00
10
10
00
00
10
11
01
11
11
10
10
01
10
00
00
10
10
01
00
01
10
10
10
01
01
10
10
01
01
10
10
10
00
00
00
10
10
00
00
10
10
01
10
11
00
10
01
00
10
00
11
10
11
10
10
10
10
10
00
00
01
10
10
10
10
01
10
01
10
10
01
11
11
11
10
00
11
01
01
00
11
11
01
00
10
10
01
00
11
10
01
00
00
10
10
10
10
01
01
11
11
00
11
00
01
00
00
11
11
00
01
10
10
00
01
01
00
00
10
10
10
10
11
01
01
10
01
01
01
11
11
00
10
10
01
11
10
00
00
10
10
10
01
00
00
00
10
00
00
10
10
00
00
00
10
10
10
10
01
00
00
11
10
01
00
01
10
10
00
10
01
01
01
10
00
11
01
10
11
01
00
11
11
10
01
01
10
00
00
10
11
00
00
10
10
10
00
01
00
00
01
10
10
00
10
10
00
10
10
00
10
00
10
00
10
11
00
10
10
10
01
11
10
00
00
10
01
01
11
01
00
00
10
11
10
01
10
10
10
10
00
00
11
10
10
10
00
10
00
10
10
10
00
00
01
10
00
10
10
00
10
10
00
10
10
11
00
10
00
00
10
11
10
10
01
10
10
00
10
00
11
10
00
00
00
00
00
01
11
10
10
11
10
11
10
00
00
00
00
00
01
10
00
00
01
00
11
11
01
10
10
00
10
01
01
10
11
10
11
11
11
11
00
11
10
00
00
10
10
00
00
01
11
00
11
00
01
10
00
10
00
00
10
10
00
00
10
00
00
00
00
10
10
00
10
11
00
01
01
10
01
00
10
01
00
10
01
01
10
01
11
10
10
01
00
01
00
11
00
00
10
10
01
01
00
10
10
00
10
00
01
10
00
00
00
11
10
00
11
01
01
00
10
10
01
01
00
01
10
10
00
11
00
10
10
10
10
00
10
00
01
00
01
00
10
00
00
10
00
11
10
10
10
11
11
00
10
00
01
10
01
01
10
11
01
11
01
01
10
00
10
10
00
00
10
10
00
00
10
01
01
00
00
00
00
00
10
01
00
00
11
11
10
11
11
10
11
10
00
01
11
11
01
11
11
00
10
10
10
00
01
10
10
10
01
00
10
00
11
10
00
11
11
01
11
00
00
01
10
01
10
10
01
00
00
00
10
10
00
00
11
00
00
01
10
10
00
01
10
01
00
10
10
00
10
00
00
10
10
10
00
00
00
10
10
00
10
10
01
00
00
01
00
10
10
10
11
10
00
01
01
10
10
11
10
10
00
00
01
10
01
11
10
00
00
00
11
11
10
01
00
10
10
10
01
11
01
00
00
00
00
10
10
11
00
00
10
10
10
10
00
10
00
00
10
01
00
00
11
00
01
00
10
10
01
01
11
01
10
10
00
00
00
10
00
10
10
01
11
01
10
11
10
10
10
00
01
00
00
10
01
00
11
00
00
10
01
10
11
10
00
10
01
01
11
01
01
00
11
10
10
01
00
01
01
01
10
00
00
00
01
10
10
01
10
11
10
01
00
10
10
01
00
11
10
01
00
10
10
01
00
10
11
00
00
10
01
00
10
01
01
10
10
10
10
10
00
00
10
10
10
00
10
11
00
10
10
10
00
01
10
11
11
11
01
10
11
01
01
10
11
00
10
10
00
10
10
00
00
01
00
00
10
01
00
10
11
01
00
00
00
10
00
11
10
00
00
11
10
01
10
00
11
11
11
10
01
00
11
10
00
00
11
10
00
11
00
11
10
00
11
00
10
10
11
00
10
00
01
00
11
01
00
01
10
10
00
11
10
00
01
10
01
00
10
10
10
01
10
10
00
00
11
01
01
10
10
10
10
10
10
00
00
11
10
00
11
10
10
00
00
11
00
00
10
00
01
00
01
10
10
00
10
01
00
00
10
00
01
00
00
00
10
10
01
10
00
11
10
10
10
11
01
10
10
00
10
10
00
01
00
00
01
00
11
00
10
11
00
00
00
10
10
11
11
00
00
10
10
00
00
01
10
01
00
11
10
00
00
00
00
10
10
00
11
00
01
00
11
11
10
11
00
00
11
01
01
00
10
10
10
00
11
10
00
00
10
00
11
00
01
00
00
00
10
11
10
00
01
00
00
10
10
11
11
01
00
10
00
10
10
11
00
01
00
00
10
11
11
10
00
00
10
10
00
00
10
10
00
00
11
00
00
10
11
11
00
10
10
00
01
10
10
00
00
10
00
00
11
10
01
00
00
01
10
10
00
10
10
01
01
11
11
11
10
01
10
00
01
10
00
10
01
00
10
00
00
11
10
00
00
10
00
00
10
10
00
01
01
00
10
10
10
00
00
00
10
00
10
10
10
10
00
10
00
01
11
11
00
10
11
01
01
10
10
00
01
01
10
00
01
11
10
00
00
00
00
10
11
01
01
11
00
00
10
00
10
10
10
00
00
10
00
10
00
00
00
10
11
10
11
11
00
00
00
10
11
10
01
00
00
11
11
11
01
11
00
01
11
00
01
11
10
10
01
10
10
10
11
00
11
00
11
11
00
00
11
00
00
10
01
00
00
11
10
00
11
01
10
01
01
11
10
00
00
10
10
01
11
10
11
00
00
00
00
01
00
00
10
00
01
11
11
01
00
10
10
11
00
00
10
10
00
01
01
01
01
00
01
11
10
01
00
10
11
11
10
00
00
11
10
01
00
00
10
00
00
10
00
00
10
00
00
00
01
00
01
01
00
10
00
10
10
10
11
11
00
00
01
00
11
10
00
00
10
11
11
00
01
10
10
00
11
00
00
00
11
11
00
10
10
11
00
01
00
11
00
10
00
00
00
11
10
00
00
11
11
01
11
11
10
01
00
01
10
10
10
00
10
11
01
00
00
10
10
10
10
00
10
10
01
00
10
01
01
01
00
10
10
00
00
11
01
00
10
10
10
11
10
00
01
00
10
10
11
00
10
11
00
01
11
01
01
00
00
11
10
00
10
11
00
00
11
10
10
10
11
00
10
01
00
00
00
00
10
10
01
01
11
01
10
10
00
10
10
01
10
10
10
00
00
10
10
01
01
00
01
10
10
00
10
01
01
11
11
11
00
00
10
10
01
00
11
00
10
10
00
10
10
10
10
01
00
11
01
10
00
00
10
00
00
00
01
10
10
00
00
00
00
00
10
10
00
10
00
11
10
10
10
10
00
10
11
00
00
01
11
00
00
10
10
10
00
00
10
01
11
10
01
10
01
00
00
10
10
00
00
00
11
11
11
10
00
00
10
10
00
00
10
10
01
11
10
10
00
00
00
10
00
01
10
01
11
00
00
10
00
00
00
11
11
11
11
00
01
11
01
00
00
10
10
01
00
10
10
00
01
00
11
10
11
11
00
00
00
00
10
10
01
10
01
11
00
00
10
00
00
10
10
11
10
10
10
00
11
00
00
11
11
11
00
10
10
10
00
00
01
01
10
00
01
10
11
00
01
10
10
01
11
01
00
00
00
00
01
10
00
00
10
00
11
00
00
10
10
10
00
00
10
10
00
10
00
11
10
11
10
10
10
11
00
11
11
00
10
10
00
10
00
00
01
00
10
01
00
11
11
11
01
01
10
10
00
10
10
00
00
10
00
11
11
10
01
00
10
00
10
00
10
10
01
10
01
10
00
10
10
01
00
11
10
00
11
00
11
00
01
10
01
01
11
00
11
11
00
11
11
01
00
10
11
00
10
11
10
10
01
10
01
00
00
01
01
00
01
11
10
00
10
10
01
00
00
11
00
01
10
01
00
01
10
10
00
00
10
11
10
01
00
10
10
00
00
00
00
11
10
00
01
11
01
11
10
00
10
10
11
00
01
11
10
00
10
10
10
01
00
00
10
10
10
00
10
10
10
11
10
10
01
00
00
11
11
01
00
10
01
10
11
00
11
00
10
10
10
10
01
11
10
00
10
11
11
11
00
00
10
00
01
10
10
10
10
10
10
01
00
01
11
11
10
00
11
00
10
10
00
10
11
11
10
00
10
10
10
00
11
00
11
01
11
10
00
10
01
00
01
11
10
11
11
01
01
11
00
00
10
10
10
10
01
00
10
11
01
11
10
10
01
10
10
10
10
00
00
11
00
00
11
10
11
00
10
10
10
10
00
01
00
00
01
00
10
11
00
11
11
00
10
00
10
10
01
10
11
10
00
10
01
00
01
01
10
00
11
01
00
10
10
00
00
00
01
10
10
00
11
00
00
10
11
10
00
00
00
10
10
01
00
11
00
00
10
00
00
10
10
01
10
10
11
00
00
00
00
10
01
00
10
10
00
01
10
10
00
00
00
10
01
00
10
10
10
11
00
10
10
10
00
00
01
10
11
00
01
10
10
10
10
00
00
00
11
00
10
11
10
01
10
01
11
01
11
11
10
00
10
11
00
01
11
10
01
01
01
00
01
10
10
01
00
11
00
00
10
00
10
00
10
10
10
01
01
11
11
00
00
10
10
01
10
10
00
10
10
10
01
00
10
10
11
10
10
10
00
10
01
10
11
00
11
01
00
10
01
00
01
10
10
10
01
10
10
00
00
11
11
01
11
11
10
01
00
01
10
11
11
01
01
10
00
00
10
10
10
00
10
01
00
11
10
10
10
10
10
10
10
01
10
10
00
10
00
10
00
01
10
11
11
10
00
01
01
10
10
11
11
11
00
01
01
10
00
00
00
11
11
01
10
00
00
00
10
00
00
11
10
01
00
10
11
10
00
10
10
11
11
00
10
01
00
10
10
00
01
11
00
11
00
00
01
10
01
01
01
10
00
10
00
10
10
00
11
10
00
01
10
00
00
10
01
10
11
00
11
00
10
10
00
00
11
11
11
11
00
00
00
01
00
01
10
10
11
00
00
10
01
10
11
00
11
10
10
10
11
11
00
00
10
10
00
00
01
11
10
00
01
00
00
01
10
10
10
10
00
00
10
11
00
01
11
10
00
10
01
00
11
00
10
10
00
00
00
00
10
00
01
10
11
10
00
10
10
10
10
01
01
00
10
01
00
01
11
10
10
10
01
11
11
01
01
00
00
00
11
11
00
00
10
11
00
00
11
10
00
11
00
00
10
10
10
10
10
00
00
00
10
11
00
01
00
00
10
00
10
11
10
01
11
01
11
11
01
00
11
10
11
00
00
01
11
10
00
00
01
00
00
10
10
00
10
00
00
10
10
00
00
01
00
11
10
10
11
00
10
00
01
00
10
10
10
01
00
00
00
11
10
11
00
10
00
01
01
10
10
00
10
01
00
01
10
10
00
00
10
10
01
11
00
01
00
10
10
11
10
10
01
00
00
00
10
11
10
00
01
00
11
00
01
10
10
11
00
10
10
01
01
00
10
11
10
10
01
10
10
01
00
01
10
00
11
10
01
10
01
01
01
10
00
10
00
01
11
01
00
00
11
10
10
00
10
10
00
10
10
00
00
00
01
01
01
11
01
01
00
00
00
01
10
10
10
00
00
11
10
10
10
00
00
10
00
00
00
00
11
10
10
00
10
11
01
10
00
00
10
11
10
00
00
10
01
00
01
10
00
01
11
00
00
00
11
00
00
01
00
10
11
00
00
01
10
00
10
10
00
10
10
11
10
11
01
00
10
00
00
00
10
01
10
11
10
01
10
10
00
00
10
10
11
10
00
01
10
10
00
11
10
00
01
00
11
10
10
10
00
01
01
10
10
01
01
10
10
00
00
10
10
10
11
01
11
11
10
01
00
00
01
10
10
01
10
11
00
00
11
01
10
11
00
01
01
10
00
00
00
10
00
01
10
10
01
00
10
01
10
10
00
00
11
11
00
01
00
01
00
00
11
01
00
10
10
01
10
01
10
10
10
01
10
11
10
00
00
11
01
01
01
11
10
11
00
00
11
10
01
00
00
10
11
10
00
10
11
10
10
00
00
10
00
00
10
10
00
00
10
00
00
01
00
00
10
00
01
00
01
00
10
10
00
00
10
10
01
10
00
00
00
00
00
11
11
11
00
00
00
11
00
00
01
10
11
01
01
00
10
11
00
10
10
01
10
10
00
10
00
11
00
10
10
01
00
10
00
11
01
00
10
01
10
00
10
10
00
00
10
10
00
00
11
01
10
10
00
10
01
10
10
00
11
10
01
10
00
00
00
00
11
10
01
10
00
10
10
00
01
10
10
11
11
10
01
01
01
10
00
10
01
10
11
01
00
10
01
00
01
10
10
01
01
11
10
11
00
00
10
10
10
01
10
10
10
00
10
10
10
00
10
10
11
01
00
10
10
00
11
00
00
10
01
00
11
01
01
10
10
00
00
01
10
10
10
00
00
00
00
01
00
00
00
11
01
01
10
11
01
00
11
00
10
10
00
00
01
10
10
10
11
00
00
11
10
01
00
11
00
10
01
00
01
10
00
00
10
11
00
00
10
11
00
11
10
10
00
00
10
01
00
01
10
00
10
01
01
11
11
11
10
00
00
11
01
01
10
10
00
10
11
00
10
10
11
10
01
01
00
01
10
10
10
10
00
01
10
10
11
01
10
10
10
10
01
01
00
10
11
01
01
11
00
00
00
00
10
11
01
01
00
11
00
01
11
00
00
11
11
00
00
00
10
01
00
01
10
00
00
10
00
11
10
00
00
11
10
00
00
10
10
01
10
01
00
11
10
01
01
01
10
11
00
10
11
01
11
11
00
00
01
00
10
10
10
10
01
00
00
10
11
01
10
00
01
01
01
10
11
00
00
10
11
10
01
10
10
00
01
00
11
00
00
10
10
10
01
00
10
10
10
00
00
10
01
10
10
11
01
00
01
00
10
10
00
10
11
10
00
01
00
11
11
01
00
10
10
10
10
10
00
01
00
00
00
11
00
00
10
10
01
10
01
10
11
01
00
10
00
00
10
11
10
00
01
00
10
10
00
11
10
01
01
11
00
01
10
11
00
01
10
01
11
01
11
11
10
11
10
00
10
10
01
00
01
10
00
00
10
01
00
10
11
01
01
00
10
10
11
11
00
10
10
00
10
00
01
01
10
10
10
00
01
10
00
00
10
00
00
10
10
10
10
10
11
10
11
00
11
00
01
11
00
00
11
00
00
11
10
10
00
01
01
11
00
00
10
00
10
11
10
11
00
10
11
10
11
01
00
01
00
10
11
10
00
11
01
10
01
00
01
10
11
10
10
00
10
01
00
10
00
10
10
00
10
10
00
00
10
11
10
10
10
01
10
00
00
00
00
10
00
10
00
00
11
00
11
10
10
10
00
01
00
01
11
10
10
01
10
11
11
10
01
00
00
01
01
10
11
10
00
10
01
11
00
10
11
10
01
10
00
10
10
01
10
10
00
10
10
01
10
01
00
10
00
10
01
00
11
10
00
00
01
01
10
00
00
11
10
10
11
01
00
11
11
10
11
01
00
00
11
10
00
11
10
01
00
00
00
00
11
10
00
11
11
00
00
00
11
10
11
11
01
00
00
00
01
10
11
10
00
11
00
10
10
10
01
00
10
00
10
10
10
01
01
10
10
01
10
01
00
10
01
00
01
01
10
11
00
00
11
10
00
00
00
11
00
10
10
10
10
10
00
10
01
01
10
10
11
10
11
00
01
10
10
00
01
11
10
00
01
00
11
10
01
10
01
01
10
00
00
10
10
00
00
01
10
10
11
10
00
00
00
10
11
10
00
01
10
00
11
10
01
01
00
00
01
11
11
10
01
10
00
10
10
00
00
10
10
10
00
01
00
10
01
00
00
10
10
00
10
01
10
11
10
11
00
00
10
10
10
10
10
00
00
00
00
10
01
00
10
10
01
10
10
01
10
11
00
00
10
10
01
11
10
00
10
01
11
00
11
10
00
00
00
10
11
00
00
10
01
10
10
00
11
11
01
11
10
11
00
00
10
01
01
10
01
00
10
11
10
10
01
10
10
00
11
01
01
10
00
10
00
00
00
10
10
00
11
00
11
00
00
00
11
00
01
10
10
10
10
10
11
00
00
00
01
00
10
01
10
11
10
00
00
00
11
10
00
10
11
11
11
01
10
10
11
10
10
00
10
10
00
10
00
10
11
00
00
10
11
00
01
10
11
10
00
10
00
11
11
00
01
10
10
10
00
10
10
00
00
11
00
00
11
00
10
00
00
10
00
10
11
00
00
01
10
00
00
00
10
00
10
11
00
11
00
01
00
00
10
10
10
00
10
11
01
00
11
10
10
00
00
00
10
10
01
00
01
10
00
11
00
10
10
00
00
10
00
00
10
11
10
00
11
00
01
00
10
00
01
10
10
00
11
10
00
00
00
10
01
10
00
00
10
10
10
00
10
01
10
11
10
00
01
00
11
00
11
10
01
00
00
10
11
00
10
11
10
00
00
00
01
11
11
10
00
11
10
01
10
10
00
00
10
01
00
10
01
00
10
00
10
00
00
10
10
10
00
10
10
10
00
01
01
00
11
10
11
00
10
11
00
10
00
00
10
11
00
00
00
11
10
01
10
10
00
10
00
00
11
00
01
10
00
00
10
00
00
01
11
10
00
00
01
11
10
10
01
00
10
00
01
00
01
00
11
11
00
00
10
10
00
11
01
11
01
00
11
10
00
00
00
10
10
10
00
01
01
01
11
10
01
01
00
11
00
00
10
11
00
01
10
10
11
00
00
00
10
11
10
00
10
10
01
00
01
11
00
01
10
00
11
10
00
10
11
00
11
00
11
00
00
10
00
10
10
01
10
00
01
00
01
10
01
11
10
00
01
00
01
11
01
01
10
01
10
00
10
10
10
00
01
10
00
10
10
10
01
00
10
11
11
10
00
00
00
10
10
10
11
00
00
01
00
00
00
10
10
10
01
00
00
10
00
10
10
10
11
00
00
00
00
00
00
11
10
11
10
00
10
00
00
00
10
11
10
00
00
10
01
10
01
01
01
01
00
11
11
10
01
00
10
10
11
00
10
01
00
00
00
00
10
00
10
11
11
10
00
00
00
01
11
10
01
00
01
00
10
00
11
11
00
11
11
00
10
01
00
10
10
00
00
11
11
00
10
11
00
11
10
01
11
11
00
01
10
11
01
00
01
10
00
00
11
10
00
00
10
00
01
00
00
10
10
01
00
10
00
10
00
10
10
11
01
00
00
00
10
01
10
11
00
11
10
00
11
00
10
01
11
10
10
00
01
01
01
10
11
10
00
00
00
00
10
11
01
10
10
11
00
00
10
10
00
01
01
01
11
10
11
01
00
01
01
10
10
01
00
00
00
11
10
10
11
00
00
11
10
01
11
01
00
00
10
10
10
00
00
10
10
00
00
10
10
10
10
00
11
01
01
10
10
01
10
00
00
10
10
00
10
01
10
00
01
11
11
00
10
10
10
10
00
01
11
10
11
11
10
01
10
10
00
10
10
10
01
00
10
00
01
00
11
10
01
10
11
10
10
10
00
10
11
00
00
01
11
10
10
10
00
11
00
01
10
11
00
00
01
00
01
11
01
11
11
11
11
10
00
10
00
01
10
00
01
01
00
00
00
10
11
00
00
10
10
01
00
00
10
00
01
10
10
01
00
00
10
01
01
00
00
11
01
01
00
11
10
01
10
01
00
10
10
00
10
10
10
00
10
01
01
11
10
00
11
10
11
11
00
00
10
10
10
00
00
01
10
11
10
10
00
11
00
01
00
10
00
01
01
00
00
10
10
00
01
11
11
10
00
00
00
10
01
01
11
00
01
10
01
01
00
10
11
10
00
00
11
01
00
10
10
10
00
11
11
00
10
10
01
10
11
10
01
00
00
00
10
01
00
01
10
00
11
11
11
00
10
10
10
00
00
00
10
11
00
00
11
10
00
01
00
00
11
10
00
00
01
11
10
01
00
00
10
11
01
01
11
11
01
00
00
10
00
01
10
11
00
11
11
00
01
01
11
10
10
11
00
11
00
00
11
11
10
00
00
10
00
00
01
11
11
11
01
00
10
00
10
10
00
01
10
01
00
10
00
11
00
10
11
00
10
10
00
10
00
00
10
11
00
10
01
00
00
00
10
01
10
00
00
00
10
11
10
00
00
11
00
00
01
00
10
00
01
10
00
10
00
10
10
00
00
01
11
00
11
00
11
00
11
00
00
10
11
10
11
00
00
10
10
10
00
01
10
11
00
01
01
01
10
01
10
10
10
01
00
10
11
11
10
10
00
00
01
10
01
00
01
00
11
10
00
10
11
00
11
10
01
10
00
10
10
00
00
10
10
10
10
01
11
01
11
10
00
10
11
10
01
01
10
00
10
11
00
11
00
11
10
01
00
11
10
01
10
01
10
10
10
10
01
00
10
10
00
01
10
00
01
01
11
11
01
10
01
11
01
01
10
10
01
00
10
11
00
01
10
10
01
11
10
10
11
10
10
00
01
00
10
10
00
01
10
00
10
00
11
00
01
10
10
00
00
10
10
00
00
01
10
01
01
11
10
01
11
01
10
10
00
00
01
10
10
00
00
00
11
11
11
10
00
11
11
10
00
01
10
00
10
00
00
10
10
00
00
10
11
10
00
01
00
01
10
00
01
10
00
11
10
10
10
00
01
10
10
10
11
00
10
10
11
10
11
10
01
00
01
00
10
01
00
01
11
11
00
00
10
10
01
00
10
10
11
10
00
01
10
10
10
00
10
11
00
01
11
10
01
11
10
10
01
00
10
10
00
00
00
10
00
11
11
01
11
10
10
00
00
00
00
10
00
00
10
11
00
01
10
10
00
10
10
00
10
00
10
01
00
10
10
10
11
10
01
01
01
11
10
10
10
00
10
11
01
00
11
00
01
01
10
11
11
00
11
10
00
01
00
10
10
10
00
10
10
00
00
00
01
10
10
11
10
00
00
10
10
10
01
00
00
10
00
11
11
10
00
00
10
10
10
01
00
10
10
11
00
00
10
11
00
00
10
10
00
00
00
10
11
10
00
10
01
10
11
10
10
10
00
01
10
10
01
10
10
01
11
01
10
00
00
00
10
00
10
10
00
10
00
10
10
01
10
00
01
10
01
00
00
00
10
10
10
00
00
10
01
10
01
01
00
10
00
10
10
01
00
00
01
10
10
10
10
11
10
11
10
00
01
10
00
00
10
10
10
11
01
10
11
10
00
00
11
10
10
00
01
01
00
10
10
10
00
00
10
10
10
00
10
00
11
11
01
01
10
10
01
11
01
00
10
11
10
11
00
11
10
11
10
00
01
00
10
11
10
00
10
11
01
10
00
10
00
10
01
11
11
00
11
00
10
00
00
11
10
10
00
00
10
10
10
10
10
10
01
01
00
11
00
10
11
01
00
11
11
00
00
10
01
00
10
10
11
01
11
11
00
00
11
11
10
00
00
10
10
10
10
10
11
00
10
00
00
10
10
10
11
00
10
00
00
11
11
00
00
00
00
10
11
00
10
01
00
10
10
10
01
00
00
10
10
00
11
00
00
10
10
00
10
10
10
01
00
10
10
00
01
00
10
11
00
00
01
00
01
00
01
00
01
10
10
10
01
00
00
11
10
00
10
10
10
01
10
10
01
01
00
10
10
10
00
00
00
00
00
00
00
00
01
00
11
11
10
10
11
10
10
10
00
10
00
01
10
10
10
10
00
01
00
10
10
10
10
00
00
10
11
10
01
10
00
01
11
00
11
10
01
00
11
10
11
00
10
10
11
01
00
10
01
00
11
10
00
10
11
10
11
11
01
01
01
11
10
00
00
00
00
11
11
00
00
11
01
01
11
10
10
11
01
00
10
10
01
11
00
11
11
10
00
00
00
00
01
11
11
01
01
00
00
10
01
00
10
10
01
00
11
01
10
11
00
01
01
00
10
00
01
10
10
00
00
10
00
10
10
01
00
00
11
01
11
10
11
10
00
00
10
00
11
00
00
10
00
11
01
10
11
00
11
10
11
00
00
11
11
10
01
00
10
11
10
01
10
11
10
10
10
00
11
00
10
10
00
10
11
10
10
10
01
11
01
00
00
00
11
00
00
00
10
01
11
00
01
01
10
00
10
10
10
11
00
00
10
11
00
00
10
11
01
10
01
00
10
01
00
10
00
00
11
10
01
10
10
00
11
11
00
01
11
00
00
01
11
10
00
01
00
10
10
00
01
10
10
00
10
00
00
11
10
10
10
00
10
10
00
00
11
00
00
10
00
10
10
00
10
00
01
10
10
10
11
10
00
00
01
10
00
01
00
00
00
11
11
10
00
00
00
11
00
10
11
01
10
10
11
00
01
00
10
10
00
01
01
10
01
11
10
10
10
00
00
10
00
00
10
11
11
00
00
10
00
00
10
10
01
10
11
00
01
10
00
10
10
00
11
00
00
10
10
11
01
01
10
00
01
10
10
00
00
10
10
11
00
10
10
10
00
01
10
10
11
01
01
10
01
00
00
00
11
10
00
00
00
11
00
11
10
01
00
00
11
01
11
10
01
11
10
10
01
01
10
01
00
00
10
10
01
10
00
11
11
10
11
00
10
10
00
00
01
00
10
01
00
11
01
00
01
00
11
00
10
00
11
11
00
10
10
10
10
00
00
11
10
00
01
00
00
11
01
00
01
00
10
01
01
10
10
11
00
00
00
01
00
00
10
10
11
00
01
10
00
10
10
01
00
11
10
10
00
10
10
01
10
00
00
10
00
00
11
10
00
10
00
01
00
10
10
11
00
11
00
00
10
00
00
00
00
10
01
00
11
00
00
11
10
10
00
10
10
00
11
01
10
10
11
11
10
00
00
01
10
10
11
01
10
11
01
11
10
11
00
00
00
10
01
01
01
10
10
10
11
00
10
00
00
01
00
00
10
11
00
10
00
00
10
00
10
01
10
11
01
10
11
10
10
10
00
10
11
10
00
00
10
10
10
00
11
01
00
01
10
01
00
10
10
10
10
00
01
10
10
00
10
10
00
00
10
00
01
01
10
10
11
00
00
00
00
10
00
01
10
10
01
01
10
00
01
11
10
00
00
00
11
10
00
01
11
10
11
00
11
10
00
01
11
01
10
11
00
00
10
10
01
00
11
10
00
10
00
10
10
10
00
01
01
00
00
00
10
10
01
00
01
00
10
10
01
00
10
10
01
10
10
01
10
00
11
11
00
00
10
10
00
10
01
10
11
01
10
11
10
01
10
10
01
01
01
01
01
10
11
00
01
10
11
00
00
01
10
10
10
01
00
00
10
10
10
10
10
10
10
00
10
11
11
10
10
10
10
10
00
01
01
11
10
10
10
01
00
00
10
10
10
10
10
00
10
01
00
11
01
11
00
11
11
00
10
11
01
00
00
11
11
01
10
01
00
10
10
00
01
10
00
01
11
01
10
01
11
10
10
00
11
11
01
00
00
11
10
01
00
00
10
00
00
10
10
00
10
11
00
00
00
11
00
00
10
00
00
11
11
00
00
10
00
00
11
11
00
10
10
00
11
00
00
01
00
11
01
10
10
01
10
01
00
10
10
01
11
11
00
00
10
10
01
00
11
11
01
11
10
10
10
11
00
01
10
10
01
10
00
00
00
10
00
00
01
00
00
00
10
10
00
10
00
11
10
11
01
10
10
00
00
10
11
01
10
10
11
10
10
01
00
00
01
10
11
10
00
01
10
11
10
01
10
00
10
10
00
01
00
00
00
10
00
10
00
10
11
00
10
10
10
11
10
10
10
01
01
10
10
10
10
10
00
00
10
10
01
00
00
11
00
00
10
00
01
10
10
01
01
00
10
00
00
10
00
11
11
11
11
00
00
10
00
11
10
01
00
01
11
00
10
10
10
00
00
11
11
10
10
00
01
10
10
01
10
11
10
11
00
01
01
11
11
10
00
01
11
10
01
00
10
10
00
00
10
11
01
00
10
11
01
00
01
10
10
11
10
00
01
00
01
00
11
10
00
00
10
00
00
00
10
11
10
10
10
10
00
10
00
11
10
00
10
00
10
10
10
11
10
00
11
10
01
10
10
01
11
10
00
00
10
01
10
01
10
11
10
10
01
01
00
01
11
10
10
00
10
10
00
01
10
10
01
10
01
01
11
11
00
00
01
00
10
10
00
11
10
00
10
11
00
00
10
00
10
00
01
10
11
00
01
11
10
10
00
00
11
10
01
10
10
01
01
10
00
01
00
00
00
10
10
10
11
00
10
10
00
11
00
00
10
00
00
10
01
10
01
10
10
10
11
10
00
01
11
00
01
10
10
00
00
00
11
01
00
01
10
10
11
00
10
10
10
01
01
10
10
11
00
11
00
10
01
01
10
10
01
10
01
00
10
00
10
00
00
01
10
11
01
10
10
00
00
10
00
00
10
11
10
00
10
11
11
01
01
00
11
10
01
10
00
10
10
00
01
00
11
01
00
00
00
00
11
00
00
00
10
00
11
10
00
10
00
00
10
11
10
10
01
01
00
01
00
10
00
10
01
00
11
11
10
10
10
10
00
01
11
10
00
00
10
00
10
00
11
10
00
11
00
10
10
00
10
11
00
00
11
11
11
00
00
10
01
00
01
00
10
11
01
11
00
00
10
10
10
01
10
10
00
10
11
11
11
00
11
10
10
01
01
10
01
11
11
00
00
10
11
00
00
00
11
10
10
10
00
10
10
00
10
01
00
10
00
01
11
00
11
00
10
10
10
10
00
11
11
11
11
01
11
10
10
01
00
11
10
01
01
11
10
10
10
00
10
10
01
01
10
11
11
10
01
00
11
00
00
00
01
00
10
10
00
11
01
10
11
10
11
01
11
11
00
00
10
00
10
11
00
00
10
10
00
00
00
01
11
01
01
10
10
00
11
01
10
10
00
00
10
11
00
10
10
11
10
10
11
00
01
01
00
00
00
11
01
10
00
10
10
01
10
10
01
10
00
00
10
00
01
00
11
00
00
10
10
00
10
10
01
01
11
00
01
10
10
10
10
00
10
10
00
00
00
01
11
10
00
00
11
01
10
10
00
00
10
01
10
10
00
00
00
11
11
10
00
00
00
00
00
11
10
00
01
00
00
10
00
10
10
00
11
01
01
11
01
10
00
11
00
00
10
10
00
00
00
00
10
10
10
00
00
01
00
00
00
00
01
00
10
10
10
10
10
01
10
00
11
01
01
01
01
00
00
00
10
01
01
10
11
00
10
00
10
01
00
10
10
10
11
01
11
01
10
10
00
00
01
10
10
11
00
00
11
00
01
00
01
00
01
11
01
11
10
01
00
00
10
11
00
11
00
00
01
01
10
10
10
00
00
10
00
10
00
00
10
00
00
00
01
11
00
10
10
00
11
10
10
01
11
11
10
00
00
11
11
11
00
01
00
00
10
11
01
00
00
10
10
01
10
11
10
01
10
10
11
10
10
00
00
11
00
00
10
00
00
10
11
00
00
00
11
00
11
11
11
00
01
10
01
10
01
10
11
01
00
01
10
10
10
10
01
00
11
10
10
00
01
00
00
11
11
11
00
11
10
10
01
10
01
00
00
10
10
10
10
10
00
00
00
11
10
01
10
00
01
01
11
00
01
11
11
00
10
10
00
01
11
10
00
11
10
10
00
00
10
01
10
00
10
11
10
10
10
01
00
10
10
10
00
01
10
10
10
10
01
11
11
01
00
00
00
01
00
01
10
00
00
11
11
11
10
00
10
10
10
00
00
11
00
00
10
10
00
00
10
01
00
01
00
11
11
11
11
00
00
10
10
00
10
11
10
00
01
11
01
11
01
00
00
10
00
01
00
10
01
00
01
10
11
00
01
00
11
11
01
01
10
01
11
10
01
00
01
10
00
00
10
01
00
00
10
10
11
10
10
01
10
10
01
00
00
11
00
01
10
11
11
01
00
10
10
01
10
10
10
00
00
00
01
10
11
01
00
01
00
00
10
01
11
00
00
10
00
00
10
00
00
10
10
10
10
10
11
10
00
10
00
00
11
00
11
01
10
01
01
11
11
10
00
10
00
01
00
10
01
10
11
00
01
00
10
00
01
00
11
00
10
01
00
11
00
11
10
10
01
00
11
10
10
00
00
10
10
10
00
10
11
10
11
10
10
00
01
01
10
01
00
00
01
10
10
00
10
00
01
00
01
00
10
01
11
00
11
10
00
11
11
00
11
11
00
11
10
00
10
10
00
10
00
00
11
10
00
01
10
10
10
10
01
10
10
10
11
00
11
10
00
11
11
00
10
01
00
10
01
10
11
00
01
00
00
11
00
10
11
00
00
10
11
00
01
10
10
10
11
10
00
10
10
00
10
01
01
10
10
00
10
00
00
10
10
00
10
00
01
01
11
01
11
01
11
11
00
00
11
10
10
00
00
01
00
00
10
10
11
10
00
00
00
10
00
00
10
10
00
10
00
00
00
11
01
11
00
11
00
00
00
00
10
01
10
10
10
01
01
01
10
10
10
10
10
00
01
10
10
00
11
00
00
10
00
00
01
10
10
10
10
10
11
11
01
01
11
00
01
10
01
00
01
10
00
00
10
10
11
01
00
11
11
10
11
10
11
00
01
10
10
10
00
10
00
10
10
11
11
11
00
10
11
11
00
01
11
10
00
11
00
00
10
01
11
10
00
01
10
01
01
11
00
01
11
00
00
10
00
11
11
11
10
00
11
00
10
11
00
01
10
10
00
00
10
10
00
00
10
10
00
10
00
00
10
00
00
10
00
11
10
10
10
00
10
00
10
10
00
01
00
01
10
00
10
10
10
11
10
00
10
10
01
01
00
11
00
11
10
00
01
10
11
10
11
01
00
00
00
00
10
11
00
10
10
10
10
10
01
00
11
00
11
11
10
10
01
00
10
10
01
00
11
10
10
00
01
00
01
10
10
01
01
00
00
10
10
10
10
00
01
10
10
11
10
10
10
11
00
10
10
01
00
11
10
11
10
00
11
00
01
10
01
00
00
00
11
11
01
10
10
01
10
11
10
01
10
10
00
00
10
00
00
10
10
11
11
00
10
00
01
10
10
10
11
00
00
00
00
00
10
00
10
00
01
11
00
00
00
01
00
11
10
01
01
00
01
11
10
00
10
01
01
10
11
01
11
11
11
10
01
10
10
01
00
10
10
01
00
01
00
10
10
00
00
10
10
01
10
10
11
00
10
10
11
10
00
00
11
00
00
00
00
01
11
10
11
01
10
00
10
01
01
00
10
00
10
10
00
01
10
00
10
00
10
00
01
11
11
00
00
00
10
00
00
10
11
01
10
00
11
00
00
10
10
10
00
10
01
01
01
11
00
00
10
11
01
01
10
10
01
01
00
10
10
00
00
01
01
11
10
10
10
00
10
01
10
10
01
10
01
00
01
11
10
00
00
11
00
00
11
10
01
00
11
00
01
10
10
01
00
01
00
01
10
11
01
10
10
00
11
00
01
10
10
00
01
00
10
10
01
10
00
01
10
11
11
10
00
00
10
01
01
11
01
01
10
01
00
10
00
10
00
10
10
01
10
10
00
10
11
10
00
10
11
00
00
01
11
00
00
10
01
10
11
00
00
01
00
01
10
10
00
10
00
00
10
10
01
10
10
00
11
10
11
10
00
00
01
11
11
00
00
10
10
10
01
01
01
00
10
10
00
11
00
11
10
01
10
00
00
10
10
01
11
11
00
01
10
00
00
00
10
10
01
00
00
10
01
00
00
00
00
00
01
01
01
10
01
01
11
10
00
01
00
00
10
10
01
11
01
10
01
01
10
01
00
10
10
10
01
11
11
00
01
11
00
00
00
10
10
10
00
00
01
00
10
10
01
01
10
11
10
10
00
11
01
00
00
10
11
00
01
11
00
00
00
10
10
11
00
01
10
11
10
00
10
10
10
10
00
00
11
00
01
01
01
10
10
10
00
10
00
01
00
00
11
10
11
01
01
01
00
11
10
00
01
10
10
00
11
01
01
10
01
11
00
00
10
00
10
00
01
00
00
00
10
00
10
00
00
10
00
01
10
11
10
00
11
11
00
01
10
10
00
00
11
00
00
01
00
11
10
01
10
00
01
10
01
00
00
10
00
10
11
00
00
01
10
10
10
00
10
10
10
01
00
00
10
00
10
10
00
10
00
00
10
11
11
11
11
10
00
00
00
00
10
10
00
10
00
10
01
00
00
00
01
00
10
10
00
10
01
00
10
11
01
01
00
00
10
00
00
00
11
10
10
01
00
10
11
01
00
10
00
10
00
11
10
00
11
00
11
01
01
10
10
01
00
11
01
00
10
00
10
10
10
00
00
10
10
00
11
00
11
00
01
11
10
00
01
11
11
01
01
10
11
01
10
00
00
11
11
10
01
10
10
10
01
10
10
00
00
10
00
10
10
10
00
10
10
00
11
10
00
10
00
01
10
10
00
00
11
10
10
00
11
00
00
00
10
11
00
10
00
10
10
10
00
00
10
10
11
11
11
10
10
10
00
10
01
00
10
10
00
00
00
11
01
01
10
01
10
00
10
11
00
00
01
11
10
10
01
00
00
11
00
00
00
10
10
01
00
10
00
11
10
10
10
11
10
10
00
11
01
00
01
00
10
10
01
10
10
11
00
11
10
10
00
00
11
00
01
11
10
10
11
10
00
00
10
11
00
01
00
01
01
10
00
11
00
10
00
01
11
00
00
10
00
00
00
10
10
10
00
10
10
00
10
10
10
10
10
11
00
01
10
10
10
01
10
10
00
00
01
00
10
11
11
10
10
01
10
11
10
01
01
10
11
11
10
01
10
10
00
01
10
01
10
01
10
10
10
00
00
10
10
10
10
11
01
01
10
01
00
01
11
01
00
11
01
00
01
11
10
01
00
00
00
10
10
00
00
10
00
10
10
00
10
00
00
01
11
01
00
01
00
01
10
01
11
11
00
00
11
00
10
10
01
00
10
10
10
11
01
00
01
10
10
10
10
10
00
11
00
10
10
00
00
00
01
00
01
00
10
00
10
10
00
00
11
10
00
10
11
00
00
00
01
01
00
00
10
10
01
00
10
11
10
10
11
11
00
01
00
10
10
10
10
00
00
10
00
10
11
00
00
11
01
10
01
10
01
01
10
00
00
01
10
10
11
01
00
10
10
10
11
00
01
10
10
00
10
00
00
01
00
10
10
00
00
00
10
11
00
11
10
10
01
01
10
11
10
10
00
00
01
11
11
00
00
10
00
00
10
01
00
10
00
10
11
10
00
01
00
11
11
01
10
11
00
10
01
00
00
11
11
01
11
10
10
01
10
11
11
01
10
01
00
10
10
01
00
01
11
11
00
10
00
00
10
00
10
11
00
10
11
11
10
10
10
00
10
00
01
10
00
00
11
00
11
10
00
00
00
10
10
10
10
11
01
00
10
01
10
10
01
10
01
00
11
00
10
00
10
00
00
00
00
10
10
00
10
10
01
01
10
01
10
00
00
10
10
01
01
00
00
11
00
10
01
00
11
10
00
10
10
00
00
10
11
11
00
00
00
11
10
10
00
00
11
00
00
10
11
00
10
00
00
00
11
00
10
00
00
11
10
01
00
10
01
00
01
01
01
10
01
00
10
10
00
11
11
00
10
10
01
00
10
10
00
00
10
00
10
10
01
10
11
11
10
01
00
10
00
10
10
10
00
00
01
11
11
11
10
11
10
00
10
01
00
00
10
10
00
00
11
10
10
10
10
11
00
01
10
10
01
10
11
00
10
10
10
00
01
10
10
01
00
11
10
00
01
00
01
00
11
10
11
10
01
00
10
10
00
00
10
01
00
10
10
00
00
11
00
01
10
11
00
00
00
00
10
00
10
10
00
11
00
00
01
00
10
10
11
10
00
00
00
00
00
10
01
00
10
01
00
01
01
00
10
10
10
10
10
10
00
00
10
11
00
00
00
11
00
00
10
11
11
01
01
10
10
00
11
00
00
00
10
11
00
11
01
01
00
00
00
10
10
00
11
10
00
01
01
00
10
11
11
01
10
01
00
01
01
11
11
01
10
11
01
00
00
11
01
00
01
00
00
01
10
10
01
00
10
00
10
11
11
10
10
11
00
11
10
11
10
10
01
00
00
00
00
00
10
00
10
10
10
11
00
10
00
11
11
00
11
10
00
10
00
01
10
10
00
01
10
00
11
00
00
00
00
11
01
00
10
00
00
10
01
01
11
10
00
10
11
11
00
00
01
10
11
00
01
10
10
11
11
01
11
00
00
10
00
01
11
10
11
10
10
11
10
01
00
00
10
10
00
10
10
01
10
10
10
11
00
10
10
00
10
11
10
01
10
01
10
11
00
10
00
00
01
10
10
00
10
01
00
01
10
10
00
00
11
00
11
10
10
10
00
00
00
11
10
00
10
10
10
01
01
10
10
00
10
10
10
01
00
10
00
01
11
00
01
01
11
00
11
01
00
00
10
10
00
00
00
00
01
00
10
00
10
10
11
01
10
00
11
00
01
11
11
11
00
10
10
10
00
01
11
00
11
01
00
10
00
01
11
10
00
11
01
10
10
00
10
11
01
01
11
01
10
11
10
10
10
00
00
00
00
11
11
00
01
00
10
10
00
10
00
00
10
11
01
10
00
10
00
01
10
01
00
01
10
10
00
00
00
11
11
00
00
10
00
01
00
10
00
00
11
10
11
10
00
01
10
00
11
10
00
00
11
00
11
00
00
00
10
10
00
00
10
00
10
00
10
10
00
00
11
00
10
10
10
11
10
01
11
11
01
01
00
00
10
10
01
00
00
10
00
00
10
10
01
01
00
00
01
01
11
00
10
10
00
00
11
11
00
11
11
10
11
01
01
10
01
00
11
10
00
10
10
10
01
11
00
00
00
11
11
11
10
00
00
00
10
10
11
01
00
11
11
10
00
01
10
00
00
10
11
01
00
11
11
01
01
10
10
01
10
10
10
00
01
10
10
00
11
11
11
11
00
01
00
10
10
00
00
10
10
10
00
00
11
01
10
00
11
00
10
00
00
10
10
00
00
01
01
00
10
10
00
10
11
01
10
11
00
00
10
01
01
10
00
01
01
10
10
10
11
10
00
00
00
11
00
10
10
11
00
11
10
01
00
01
10
10
00
00
00
11
00
01
10
11
00
00
00
01
00
01
10
10
00
00
01
10
11
00
00
01
10
01
10
00
10
10
01
00
00
10
11
10
10
00
00
01
10
00
10
00
10
10
00
00
10
00
10
10
00
10
01
10
00
10
00
10
10
11
10
00
01
10
00
00
10
00
10
10
00
10
10
10
01
00
10
00
11
10
10
11
00
11
01
10
01
11
10
11
00
01
00
00
01
00
10
11
10
10
10
01
10
11
10
00
00
11
00
10
00
00
01
00
00
10
00
01
11
00
00
01
00
00
00
10
10
00
11
10
01
00
10
00
00
00
10
10
10
11
11
01
00
10
01
00
11
00
01
10
01
01
10
11
00
11
10
00
01
11
10
00
00
00
10
00
01
10
01
01
01
11
10
10
00
00
00
01
11
11
10
00
10
01
10
00
00
10
10
00
10
11
00
00
10
10
00
10
00
00
01
00
11
01
11
10
10
10
10
10
00
10
10
00
10
00
00
10
11
10
00
01
11
10
01
00
01
10
00
10
01
00
10
11
00
00
10
00
00
01
10
10
10
00
11
11
00
10
01
00
10
01
00
10
11
10
10
00
10
00
11
00
01
10
10
10
10
00
00
01
10
10
10
10
10
01
01
10
11
01
10
00
00
10
00
01
10
10
10
00
00
01
00
10
00
00
00
10
11
01
10
00
10
00
00
01
11
01
10
10
01
11
10
11
11
11
00
10
01
10
10
00
00
10
10
01
10
10
00
10
01
10
00
10
10
00
00
10
01
00
01
01
00
00
10
00
00
10
11
10
00
10
01
10
01
10
11
10
00
11
01
00
00
10
10
00
11
01
10
11
01
10
00
00
01
10
00
01
10
10
00
11
00
11
10
00
00
10
11
10
00
01
00
10
00
10
10
00
11
01
00
11
11
10
11
11
10
11
01
01
01
11
11
10
10
11
01
00
10
01
10
11
11
11
00
00
11
11
00
01
11
11
01
10
11
00
10
01
00
11
10
00
01
00
00
11
11
01
00
00
11
10
11
00
11
10
00
01
00
11
00
01
10
11
11
00
00
10
10
10
01
01
11
10
10
00
00
10
10
10
00
10
10
10
00
00
01
01
10
00
10
00
11
00
00
10
00
11
00
11
01
11
10
10
10
00
10
11
10
11
00
00
10
01
10
00
00
01
10
10
11
10
10
11
11
00
00
11
10
01
10
10
10
10
00
10
00
01
10
11
10
11
10
11
00
00
10
11
00
00
00
00
00
10
10
00
00
11
11
00
10
11
10
10
10
11
01
00
11
00
00
01
11
10
11
10
00
10
10
00
00
11
10
11
10
00
00
10
00
11
10
00
11
00
11
00
00
01
11
10
10
10
00
00
10
10
10
10
00
11
10
10
00
11
10
00
00
00
01
11
00
00
00
00
00
10
10
10
00
10
10
11
10
01
10
10
10
00
11
10
10
01
00
11
00
01
10
10
00
01
00
11
11
00
00
01
00
10
10
01
01
11
00
00
10
10
10
10
10
00
10
00
10
10
00
10
00
10
11
01
00
00
10
01
01
00
01
00
10
11
10
00
10
00
01
10
11
01
01
00
10
01
10
00
00
11
01
00
10
01
00
10
00
00
00
01
00
11
11
00
11
00
01
01
10
10
00
00
11
10
00
01
10
10
00
11
00
10
10
10
10
00
00
01
00
10
10
10
11
00
00
10
00
00
10
11
00
01
10
11
00
00
00
01
00
10
10
00
01
10
00
01
00
10
00
00
10
11
00
00
00
10
01
10
10
10
01
10
01
00
11
10
10
00
01
10
01
00
11
00
11
00
10
11
00
00
00
01
10
10
00
10
01
11
00
01
10
00
01
10
00
10
10
00
10
10
11
11
11
10
01
01
11
01
11
00
00
10
11
10
01
10
00
01
01
10
00
10
10
11
01
11
00
01
11
10
00
01
10
10
00
01
10
11
01
01
01
10
10
00
10
10
00
00
10
10
10
10
01
11
10
00
00
10
00
10
00
01
11
01
01
01
10
10
01
11
10
01
00
11
10
11
11
01
00
10
01
01
00
10
10
00
00
10
00
10
10
10
10
00
10
10
10
10
00
01
10
00
00
11
10
00
00
11
10
01
10
00
01
10
00
10
10
00
10
10
10
10
00
00
11
10
10
00
01
11
11
10
10
10
11
00
11
00
01
10
11
11
01
11
10
11
00
00
10
10
00
00
11
10
00
11
00
10
00
00
10
00
01
10
10
10
01
00
00
10
00
00
10
00
10
11
01
00
10
00
01
01
01
00
00
01
11
00
10
00
00
00
10
11
00
10
10
00
10
00
11
11
00
00
10
10
00
11
10
11
11
00
01
01
00
01
00
11
11
10
00
10
10
00
01
00
01
10
01
10
00
01
10
00
00
00
10
10
00
01
00
11
00
00
10
00
00
00
10
10
00
10
01
00
11
10
00
10
10
10
10
10
10
01
10
10
00
10
00
11
10
01
00
01
10
00
11
00
01
10
00
10
00
00
10
00
10
10
00
11
10
01
10
01
10
10
00
10
00
11
00
01
01
10
00
10
11
01
10
00
10
10
11
00
11
11
01
11
10
00
00
01
10
10
00
01
10
10
11
11
11
01
11
10
11
10
10
00
00
01
00
00
10
10
10
00
01
10
00
00
10
11
00
00
10
10
11
00
10
11
01
00
10
01
00
00
00
10
10
00
00
01
00
00
00
10
10
01
10
10
00
00
10
11
10
10
00
10
10
10
10
11
00
10
11
00
00
10
10
01
00
00
10
00
00
10
10
01
10
11
00
10
11
00
00
11
01
01
00
10
00
00
00
10
00
00
11
10
00
00
00
00
11
11
01
11
00
01
00
00
11
00
01
11
11
01
00
10
10
10
10
10
01
01
00
00
01
00
00
00
10
10
00
00
00
11
10
10
10
00
00
11
01
11
00
11
10
00
10
01
01
00
01
10
10
00
10
00
10
10
00
00
10
10
11
11
00
00
10
11
10
11
01
00
01
00
10
01
01
10
00
01
10
11
00
01
10
11
01
11
11
00
10
01
00
10
10
00
00
10
00
10
10
11
01
11
10
10
00
00
01
01
10
00
10
10
10
11
01
00
11
00
11
00
10
10
00
00
00
10
11
10
00
10
00
11
10
00
10
10
01
00
00
10
10
11
00
00
01
00
10
10
00
00
10
10
00
00
01
01
01
10
00
11
01
01
00
10
11
00
11
00
00
10
00
11
10
00
00
10
01
10
01
01
01
01
00
10
10
11
01
11
11
01
00
01
11
11
11
00
01
11
01
00
10
10
01
00
10
10
00
01
10
10
00
10
10
00
01
01
10
01
11
10
00
10
10
11
10
00
00
10
10
10
00
10
00
00
00
00
11
10
11
10
11
00
10
00
00
00
11
11
00
01
01
10
10
00
01
10
10
00
10
10
00
10
11
01
00
10
00
00
10
10
10
01
10
11
10
00
01
01
00
00
01
10
11
00
00
11
00
00
11
10
10
00
00
00
10
00
00
10
11
11
00
01
01
01
10
11
00
00
10
10
01
10
11
00
10
10
01
00
10
01
00
00
11
01
11
01
10
11
11
00
00
00
11
10
11
00
01
10
11
01
00
00
10
11
01
00
11
10
00
00
01
01
10
10
00
00
11
10
10
01
10
10
11
01
01
10
11
10
10
00
11
11
00
10
00
01
11
11
11
01
01
10
10
11
10
01
10
10
00
00
11
11
00
00
00
00
10
00
11
10
00
01
00
00
10
00
00
00
11
10
11
01
00
11
10
11
10
11
00
11
11
01
11
11
10
01
00
10
10
00
01
10
00
01
10
10
11
00
01
10
10
11
10
00
00
00
01
11
10
01
11
00
10
11
00
11
10
00
00
01
01
00
10
11
00
10
10
11
11
11
00
00
10
00
00
11
11
11
11
00
01
00
10
11
00
01
01
10
10
01
01
00
00
10
00
00
10
01
10
00
10
11
10
01
10
10
11
00
10
00
10
00
00
10
10
10
00
01
10
00
10
10
11
10
11
00
00
10
00
01
01
10
00
11
10
11
10
10
00
01
00
00
10
10
00
10
00
11
10
00
01
00
01
00
00
00
00
11
01
01
11
10
10
01
10
10
00
00
11
10
00
10
00
00
10
10
10
10
10
10
01
01
00
00
00
01
00
11
01
00
10
10
10
10
10
00
11
10
10
00
11
11
00
00
11
10
00
11
01
11
00
01
00
00
00
00
01
10
11
00
10
10
11
00
00
00
10
10
01
10
00
11
10
01
11
00
11
11
00
01
10
11
10
11
00
01
10
11
00
01
01
10
00
11
10
11
00
11
11
00
00
11
10
11
11
00
00
10
11
01
10
01
10
01
01
10
00
11
00
01
01
10
11
10
01
00
00
01
11
10
00
11
00
00
10
10
01
00
01
01
01
01
11
00
10
10
10
11
01
11
10
00
00
00
01
10
01
00
10
01
00
11
10
10
01
00
11
01
10
01
10
10
01
00
10
10
00
01
10
10
10
10
10
11
10
01
00
00
00
10
00
10
00
00
10
00
11
11
10
11
10
01
00
01
01
10
11
01
01
10
00
00
01
10
10
00
01
00
11
01
00
01
01
00
11
01
00
10
01
00
10
11
10
10
10
01
11
10
01
00
10
00
01
00
01
10
11
01
11
00
01
10
10
10
00
00
10
10
01
01
01
00
10
00
01
10
10
00
00
00
10
11
10
11
10
10
10
10
01
10
10
00
11
00
00
10
00
00
01
10
10
10
00
00
00
01
11
00
11
11
11
11
11
00
11
10
01
00
11
10
11
10
00
00
10
10
00
00
10
00
00
10
10
00
10
10
00
00
00
10
01
00
00
10
00
10
00
10
00
11
10
10
00
00
00
10
10
00
10
01
10
10
01
00
11
11
10
01
10
10
00
00
10
10
00
01
01
00
00
11
00
01
00
01
00
10
10
00
11
00
10
11
00
10
11
00
10
00
10
11
10
10
10
10
10
00
00
00
11
00
10
00
00
11
10
10
10
10
00
00
01
00
00
10
01
10
01
00
00
11
11
10
11
00
01
10
10
11
11
10
00
01
11
11
10
00
10
10
00
01
10
01
00
11
11
00
10
00
00
11
10
10
11
00
01
10
10
10
11
00
11
00
01
01
10
11
01
00
00
10
11
10
00
00
10
01
00
10
10
01
00
10
11
00
00
10
10
01
11
11
11
00
00
10
01
10
00
00
10
00
00
10
10
10
10
01
00
10
10
10
11
01
00
10
10
10
00
00
00
01
00
10
00
11
00
01
10
10
00
10
00
10
10
00
00
00
10
11
01
10
00
11
01
00
00
11
11
00
00
10
00
10
00
10
10
01
10
10
01
11
11
11
10
01
10
01
00
10
01
00
01
10
01
00
00
10
00
00
11
10
11
00
01
10
00
01
00
00
00
10
11
10
10
01
10
00
10
11
00
00
10
01
10
01
10
11
10
00
00
01
00
10
11
10
11
00
10
00
11
01
00
10
10
00
10
00
11
11
00
00
00
01
10
00
00
01
10
10
00
10
10
00
00
10
10
00
01
11
10
10
11
00
00
01
11
00
10
11
01
10
01
00
10
00
00
10
11
10
01
10
00
10
00
11
11
00
00
00
10
00
10
11
00
00
10
10
01
00
11
10
00
00
01
01
00
00
00
10
11
00
11
01
10
11
00
00
11
11
01
00
10
10
00
00
00
10
10
10
01
10
10
01
00
01
00
10
00
00
10
11
11
00
10
11
00
11
11
01
00
01
11
11
11
01
11
10
00
00
00
11
10
11
01
01
10
10
00
00
10
10
00
00
10
11
10
10
11
00
00
11
11
00
00
00
10
10
00
10
10
00
10
00
10
01
00
00
10
01
00
10
10
10
10
01
10
10
11
00
00
01
10
00
00
01
00
10
10
01
01
00
00
01
10
10
00
10
10
00
11
10
01
01
10
01
10
00
10
00
01
11
11
10
01
01
00
10
01
10
10
01
01
00
10
10
00
01
00
00
10
11
10
11
01
10
01
10
10
00
10
01
00
11
10
01
00
11
11
01
10
11
10
00
01
10
10
00
01
11
10
01
00
00
10
00
10
11
10
01
00
10
00
01
00
10
10
00
10
00
11
11
11
00
01
10
00
00
11
10
00
01
10
00
00
10
01
00
10
10
11
10
00
10
11
00
00
10
00
00
10
00
00
10
01
10
00
00
01
10
11
01
01
10
11
00
10
10
00
10
00
11
10
01
00
10
10
01
00
10
00
00
10
00
00
11
10
00
00
10
01
00
11
11
00
01
00
00
10
00
00
10
00
11
10
01
11
10
10
10
00
01
00
00
00
11
11
00
10
11
11
00
10
11
01
01
10
00
01
11
00
01
11
10
10
00
01
10
00
01
01
11
00
11
11
01
10
10
11
00
11
10
00
00
10
10
00
01
00
00
10
10
10
10
10
00
00
00
10
00
11
00
01
10
00
10
00
00
10
11
10
00
01
11
10
01
11
00
01
01
00
11
10
10
00
00
11
10
10
00
00
10
00
01
10
00
00
10
00
01
10
11
01
01
10
10
01
00
00
00
10
00
11
01
10
11
11
10
10
11
00
00
01
10
10
00
00
10
10
00
11
00
10
10
00
10
01
01
10
00
10
00
00
10
00
10
10
00
00
00
11
10
10
11
01
00
00
00
10
10
00
00
01
10
00
00
00
10
00
00
10
00
00
10
10
01
01
01
00
00
10
01
11
10
01
01
10
01
00
11
10
00
10
01
01
10
01
10
11
01
10
01
10
10
00
11
01
10
11
01
00
10
10
10
10
11
10
01
00
10
00
10
00
01
10
10
10
11
00
10
00
01
00
11
00
10
11
01
00
01
00
11
00
01
10
01
10
11
00
01
10
10
10
01
00
10
10
00
10
00
00
10
10
11
01
00
10
00
01
11
00
10
01
00
11
10
10
00
10
10
00
00
10
10
01
00
10
10
10
00
10
00
11
11
10
11
11
10
11
00
00
00
00
10
10
11
01
00
01
11
10
00
10
00
10
10
00
10
10
10
00
01
00
11
10
11
11
11
10
10
10
01
01
10
01
10
00
01
01
01
10
10
00
01
00
00
10
10
10
00
00
10
11
00
00
00
00
11
00
10
10
10
00
00
11
01
10
01
00
10
01
01
10
01
00
10
00
11
01
00
11
00
10
00
00
10
10
11
00
10
01
01
01
11
11
00
11
00
00
00
11
11
00
00
11
11
00
00
01
00
10
11
01
10
11
01
10
01
00
00
11
10
11
00
10
00
00
10
10
01
00
10
00
10
11
10
00
00
11
00
11
01
00
11
10
00
00
01
11
10
00
11
01
00
00
10
10
10
00
01
00
10
10
01
11
10
00
10
00
01
11
01
10
00
01
00
00
10
00
10
10
00
00
00
10
10
01
10
10
00
00
10
00
00
01
11
11
01
10
10
10
11
00
00
10
10
10
10
11
10
00
10
10
00
00
10
00
11
10
01
01
00
10
10
11
00
10
01
00
00
10
00
01
00
00
11
01
11
00
10
10
10
10
01
11
01
00
10
10
10
10
00
00
10
11
01
01
11
01
00
10
00
00
00
10
10
01
10
11
00
01
11
00
00
00
00
10
01
01
11
00
10
00
00
00
00
10
11
10
10
01
11
00
01
01
01
11
10
01
00
00
11
10
01
00
00
10
10
01
00
10
10
10
00
11
10
10
00
00
10
11
00
10
00
01
01
00
11
10
11
11
10
00
00
10
00
11
10
01
00
10
11
01
01
10
11
00
11
10
11
11
00
11
10
00
10
01
01
00
10
11
01
00
00
00
00
00
01
11
10
01
10
10
00
00
00
01
10
10
00
01
11
10
01
10
10
00
00
01
01
00
01
10
00
00
00
00
11
00
00
10
10
11
00
10
11
00
00
00
00
11
10
11
00
00
10
00
00
10
01
00
11
10
00
11
10
10
10
10
00
11
10
00
00
10
11
01
11
11
10
01
10
10
00
10
10
00
10
01
10
00
01
00
10
11
00
11
00
10
11
10
00
00
00
10
10
10
01
00
11
01
11
10
01
10
00
00
10
10
00
00
11
11
01
00
11
01
10
00
10
00
11
01
00
11
00
11
00
01
10
00
01
10
01
00
01
11
10
00
11
10
00
11
11
00
00
00
10
10
00
00
00
11
10
00
10
01
10
10
00
10
11
10
00
00
10
10
11
10
00
01
00
10
11
11
10
00
00
01
10
11
11
10
01
01
00
00
10
10
00
00
10
00
10
00
11
11
10
01
00
11
10
11
10
00
00
00
00
10
11
00
10
00
10
10
11
10
00
01
10
01
10
01
10
11
01
00
00
01
00
00
10
11
00
01
00
10
10
01
01
01
10
11
10
10
11
00
10
11
11
11
00
11
00
01
10
10
10
01
10
01
00
01
00
10
10
11
01
00
10
11
00
11
10
00
11
11
11
11
10
11
00
11
00
00
10
10
11
00
00
11
00
01
00
00
10
10
01
01
10
10
11
00
10
10
10
00
00
10
11
10
01
00
01
10
01
00
11
10
10
10
00
00
00
01
11
00
01
11
01
00
10
01
10
00
01
00
10
10
00
10
00
00
10
10
10
01
00
10
10
11
11
00
10
11
01
00
00
10
01
10
11
10
10
00
01
11
10
10
01
10
00
10
10
00
10
10
00
10
01
00
00
11
10
00
10
00
01
01
01
00
10
10
10
00
11
10
00
10
11
01
00
10
10
10
01
01
00
00
00
01
11
00
01
10
11
01
11
10
00
11
00
11
10
00
00
00
10
00
10
11
00
10
00
00
11
00
01
00
11
11
00
00
00
00
10
01
00
11
11
00
00
01
01
01
00
10
11
00
01
00
10
10
10
10
10
10
01
11
10
00
00
10
00
10
10
00
00
00
00
01
00
00
10
01
10
00
11
10
01
01
10
10
00
00
01
11
00
00
10
00
01
01
10
10
10
11
00
00
10
10
00
00
10
00
10
11
11
10
00
01
00
10
00
00
11
10
00
01
10
11
00
00
10
11
11
00
01
10
10
00
00
10
00
10
01
00
00
10
11
10
00
01
10
10
00
10
00
01
01
11
01
00
00
10
00
01
10
00
00
10
10
00
01
10
10
00
01
11
11
01
11
10
10
00
10
10
00
00
00
01
10
01
10
10
11
10
00
01
00
10
01
10
11
00
10
00
10
11
10
11
01
11
10
00
10
01
01
10
10
00
00
10
10
10
10
00
00
10
00
00
00
01
00
11
00
01
10
00
00
01
00
11
10
01
00
11
10
11
00
01
00
10
00
00
00
10
11
11
10
00
00
11
11
10
00
10
00
11
11
00
10
10
00
00
11
11
00
01
11
11
00
00
10
11
10
10
00
10
01
00
10
00
00
11
10
00
01
10
11
00
00
10
11
00
10
10
11
01
01
01
00
11
11
10
00
01
11
00
10
10
00
00
10
11
00
01
10
01
00
01
01
10
11
00
01
10
10
00
00
11
00
01
10
00
00
00
10
00
01
10
10
00
00
00
10
00
11
10
11
01
00
11
10
10
01
00
11
00
00
11
11
01
01
00
11
10
11
10
10
00
00
00
10
10
01
00
11
00
00
00
10
00
00
01
10
00
00
10
01
10
10
11
00
01
00
00
11
10
00
01
10
01
11
10
00
10
00
10
00
00
11
00
00
10
00
10
01
00
10
00
00
01
00
00
01
00
11
10
10
00
01
10
11
11
01
01
00
10
10
00
00
11
11
10
00
00
01
01
00
01
10
10
10
10
01
00
11
11
11
00
01
01
10
11
10
11
00
00
00
01
01
00
11
10
00
00
00
00
01
11
00
10
10
00
10
10
00
00
11
10
10
01
10
10
00
10
10
10
10
00
10
10
10
11
00
11
00
00
10
10
00
10
00
01
00
11
00
10
01
01
10
10
10
00
00
10
00
10
10
00
00
00
11
01
11
10
10
10
00
00
11
00
00
10
01
10
00
01
10
10
00
11
01
10
10
01
10
10
00
00
10
10
00
10
11
10
00
10
10
01
10
01
00
10
10
11
10
00
00
11
01
01
01
00
11
00
01
01
10
11
11
00
11
00
00
00
11
00
01
11
11
10
10
01
01
01
10
11
00
01
11
10
00
00
00
10
10
00
00
00
00
00
10
00
01
00
10
00
11
00
01
10
10
10
01
10
00
10
10
00
00
11
00
01
01
10
11
10
00
00
00
11
10
00
00
10
01
01
00
00
00
10
10
00
00
10
00
10
01
01
00
00
00
10
00
00
10
00
00
11
10
10
00
11
10
00
10
00
00
00
11
10
11
10
00
00
10
10
11
10
00
01
10
10
10
00
00
10
11
01
01
00
11
00
00
00
11
10
01
01
10
11
01
00
11
01
00
10
01
10
00
01
00
01
10
10
01
00
10
00
00
10
00
00
10
10
10
11
10
10
10
00
10
11
10
11
00
11
00
10
00
11
10
00
10
00
00
01
00
10
01
01
11
10
10
11
01
00
00
00
10
11
11
01
11
00
10
11
11
00
01
10
10
11
10
00
00
10
11
10
00
00
00
11
01
10
10
00
00
01
11
11
11
10
10
10
10
00
00
01
11
11
10
10
10
00
00
10
10
01
01
10
10
00
10
10
10
00
10
00
00
00
10
11
00
00
00
01
10
10
00
01
00
10
10
00
00
10
10
01
10
00
10
10
11
11
01
01
01
10
00
00
10
00
11
10
00
00
10
10
10
00
10
00
01
10
10
11
00
10
10
00
11
01
00
10
11
11
01
01
10
10
10
10
00
00
01
10
10
00
01
11
10
01
11
11
01
01
01
11
10
01
11
01
00
11
11
10
11
00
01
00
00
01
10
00
10
11
00
11
00
10
01
01
11
11
01
01
11
00
01
11
10
10
11
00
01
00
01
11
01
10
11
10
00
00
10
10
01
00
11
00
01
00
10
11
00
01
11
10
00
00
10
10
00
01
00
00
11
10
00
10
11
00
11
10
10
10
00
00
00
10
11
00
00
00
10
11
00
00
00
11
10
10
10
11
10
00
11
01
01
10
01
00
10
10
00
10
00
11
11
11
00
00
10
11
00
00
10
00
00
10
11
11
01
01
10
10
11
11
10
00
00
11
11
10
11
00
10
00
00
11
00
11
10
01
00
10
01
11
00
00
00
10
11
01
11
00
01
00
01
00
11
10
11
11
00
10
11
00
00
10
10
10
11
01
11
10
00
00
10
11
11
11
01
10
10
00
10
11
00
00
10
01
11
01
11
00
10
11
01
11
00
00
10
11
00
00
00
00
01
11
10
10
01
01
01
00
00
10
01
11
10
10
00
10
00
00
00
11
11
01
10
00
10
01
01
10
00
00
01
01
00
10
00
01
11
10
11
10
10
11
01
10
00
00
10
00
00
00
10
01
00
10
10
10
10
10
10
10
10
01
11
00
00
01
11
00
11
00
01
11
11
10
10
00
01
00
00
10
10
00
00
10
01
10
01
11
10
00
10
00
11
10
00
10
00
00
01
10
10
10
01
10
10
11
00
00
10
10
00
11
11
01
10
10
00
11
10
00
00
10
10
00
00
10
10
01
00
10
10
00
11
10
00
01
10
01
10
00
10
00
00
10
11
10
00
00
00
01
11
10
00
10
10
10
00
10
10
00
11
00
00
10
10
00
10
00
10
00
00
10
00
10
10
10
10
01
11
10
11
01
10
01
10
11
01
00
01
01
00
01
10
10
11
00
01
01
01
11
10
11
10
01
01
10
00
00
10
10
10
00
10
10
01
00
10
00
10
10
00
10
10
10
01
01
00
11
00
11
01
11
01
00
01
10
00
00
11
10
10
00
00
10
01
01
10
10
00
00
00
01
01
00
10
10
10
00
00
10
10
10
00
10
00
00
10
11
10
01
10
10
00
00
00
11
01
00
10
11
00
10
11
01
01
01
00
10
11
00
11
10
10
10
00
10
01
01
11
01
01
01
10
10
10
01
10
10
00
11
00
10
10
10
10
00
01
00
11
01
10
10
10
01
10
00
01
11
10
11
11
00
10
11
01
11
11
00
11
11
00
00
11
10
10
10
00
00
01
10
00
01
00
00
10
01
11
10
01
10
10
00
01
11
10
10
00
10
01
00
00
00
10
10
10
10
10
11
11
11
10
11
01
00
00
11
11
01
00
10
10
01
01
10
11
01
01
10
00
00
01
10
11
10
00
11
10
10
01
00
11
10
11
00
00
10
01
00
10
10
00
00
11
00
01
10
10
10
11
01
10
01
00
10
01
10
00
01
11
10
11
10
11
10
00
10
11
01
00
00
00
00
01
00
11
11
01
11
01
11
11
00
10
01
01
10
10
00
01
00
00
11
10
11
10
00
00
00
10
00
01
01
00
10
11
00
00
10
10
00
01
00
00
00
10
10
10
00
11
10
00
10
11
10
01
01
01
10
00
10
01
10
10
01
10
10
10
10
01
00
11
00
01
00
01
11
01
10
00
11
00
11
10
00
00
11
00
00
00
10
10
01
01
01
11
00
00
10
10
00
11
10
00
10
10
00
10
10
11
01
10
00
10
01
10
10
00
01
10
11
10
00
01
00
01
10
10
00
10
11
11
10
00
00
01
10
01
10
00
00
00
00
11
01
00
00
11
01
00
11
10
00
00
10
10
00
00
11
11
00
10
11
00
01
01
10
10
10
01
10
10
00
01
10
00
00
01
00
00
00
11
10
01
11
01
11
11
00
10
10
00
11
10
00
01
00
10
10
10
00
11
11
01
01
10
11
11
11
11
01
01
11
11
00
00
00
10
11
00
00
10
11
10
10
00
10
00
10
10
00
10
11
00
01
11
10
00
10
01
10
10
00
10
10
11
00
01
11
10
01
10
01
00
00
10
00
00
11
10
10
10
00
11
10
00
00
01
10
10
00
01
00
10
00
10
00
00
00
11
00
11
00
11
11
01
00
00
01
01
10
10
01
01
11
01
11
10
11
00
10
00
00
10
01
10
00
00
10
01
01
10
11
00
00
01
11
10
10
11
00
00
10
00
00
10
10
01
01
00
11
10
01
00
10
00
01
01
11
10
00
11
10
11
11
11
10
00
11
00
01
00
10
10
10
10
00
00
11
10
01
00
00
00
10
11
10
10
00
01
10
00
11
00
10
11
01
11
11
10
01
10
01
00
10
11
11
10
00
01
10
10
00
00
11
10
11
00
01
00
11
01
00
11
10
11
10
11
00
10
11
00
01
11
00
00
00
01
00
00
10
10
00
10
10
01
11
11
11
01
11
00
11
00
00
10
10
00
00
00
10
01
00
10
10
10
00
00
10
00
10
10
10
10
01
10
00
00
00
00
10
00
10
00
00
01
00
10
01
01
11
00
00
01
10
10
00
01
11
10
10
00
11
10
11
00
01
11
10
11
10
01
10
00
00
00
11
10
00
01
11
10
00
01
00
01
00
01
11
10
10
10
01
01
10
11
01
01
01
00
00
10
00
00
10
10
00
00
01
01
00
00
01
11
10
11
10
10
00
00
10
01
01
10
10
10
00
10
11
00
10
10
11
11
10
00
00
10
00
00
10
10
00
01
10
01
00
00
01
10
10
01
00
10
01
00
10
11
01
01
10
10
01
01
00
01
10
10
10
00
00
11
10
01
01
10
10
00
00
11
10
01
00
11
10
00
10
10
01
01
10
11
00
10
00
11
00
00
10
10
01
10
01
00
10
10
10
00
01
00
01
10
10
00
10
00
10
10
00
00
11
10
10
00
10
10
10
00
10
00
00
10
10
10
10
11
00
00
10
11
01
10
01
00
01
11
00
11
00
00
00
00
10
01
00
11
10
10
00
01
00
01
10
11
01
10
10
10
01
00
00
00
01
00
11
11
11
10
00
01
10
00
01
00
10
00
00
11
00
00
01
10
10
10
11
11
01
00
11
01
10
11
00
00
11
00
01
00
10
11
10
11
00
10
11
00
11
11
11
00
10
10
00
00
10
00
00
01
00
10
00
00
01
10
11
11
10
11
00
01
00
10
10
00
11
10
10
01
00
10
00
10
00
10
10
11
01
00
11
11
10
11
00
01
10
00
00
00
10
10
10
00
01
10
00
01
10
01
10
01
00
10
10
11
00
00
00
11
10
00
01
10
11
11
00
11
11
00
11
00
00
11
11
01
10
01
00
00
10
10
10
01
00
00
10
00
01
00
10
10
11
00
00
01
11
10
00
00
00
00
11
01
10
10
01
01
00
01
00
11
11
01
10
01
10
10
11
00
00
00
10
10
01
10
00
01
11
01
11
01
00
10
01
00
10
11
00
00
00
10
00
11
11
00
00
10
01
00
10
10
10
11
10
11
00
00
00
01
00
00
11
10
10
10
10
00
10
10
00
10
00
10
10
01
00
10
00
11
00
01
00
10
01
10
10
00
11
10
00
11
10
10
00
00
11
11
00
00
00
10
00
01
11
01
00
00
10
00
00
10
00
01
10
01
00
00
00
00
00
01
00
10
10
00
11
01
11
00
10
10
10
00
01
00
11
11
00
01
10
10
11
01
10
00
00
10
10
00
00
00
00
00
11
10
01
10
11
10
10
00
10
10
00
00
10
10
00
00
11
11
11
11
00
01
00
00
00
00
10
10
01
10
10
00
00
10
00
10
10
10
01
10
00
11
01
10
00
10
10
10
00
10
00
00
00
10
00
01
10
11
00
10
00
10
10
10
10
00
10
01
00
10
11
10
01
00
10
00
01
00
10
11
01
11
10
10
00
11
10
00
11
11
01
00
10
11
01
10
00
00
10
00
00
11
10
01
00
00
10
00
01
10
00
10
10
11
11
01
01
10
01
01
00
00
11
10
00
00
10
00
00
10
01
11
01
00
11
10
10
00
00
10
10
01
11
11
00
11
00
01
10
11
00
01
10
10
10
01
01
01
01
10
11
00
00
00
01
01
11
00
01
10
11
11
00
00
10
11
01
10
10
00
00
00
01
00
00
10
11
00
00
00
10
00
10
11
00
01
00
10
10
10
10
01
00
10
00
00
01
10
10
11
10
00
01
00
11
00
00
00
10
00
01
00
10
11
00
00
00
00
11
11
10
01
10
01
11
11
00
11
01
01
01
00
10
11
10
00
00
10
10
01
00
01
10
01
11
10
11
10
10
00
11
10
01
01
10
10
11
00
10
10
00
00
10
10
00
10
10
10
01
00
01
11
00
11
10
01
11
11
00
00
00
10
10
01
00
10
10
11
01
01
00
10
01
00
00
10
10
01
11
00
10
10
00
10
01
01
00
01
10
11
01
01
00
00
11
01
10
10
01
00
11
11
01
10
00
00
00
10
10
01
01
11
01
00
11
10
10
00
11
10
01
10
10
11
01
00
11
00
00
00
00
10
10
11
00
10
11
00
00
00
00
00
00
01
10
10
11
00
11
10
10
00
01
10
10
01
00
10
10
00
00
11
11
01
00
10
00
10
10
10
10
01
00
00
10
10
00
00
00
11
10
00
00
11
00
00
01
10
00
01
00
01
00
00
10
00
10
10
00
01
10
10
11
10
01
01
11
00
00
10
11
00
00
10
10
00
01
11
11
00
00
01
11
10
01
01
00
00
00
10
10
00
00
11
00
01
00
10
00
01
01
10
10
11
10
00
00
10
00
00
10
00
00
10
00
11
00
01
11
00
10
01
00
10
01
01
10
01
01
10
10
00
11
11
00
00
11
00
00
11
00
01
10
00
11
00
00
11
10
10
10
10
00
11
11
00
10
00
00
11
01
10
01
01
10
10
00
10
11
01
00
10
01
01
00
10
01
00
11
10
00
01
10
10
10
00
01
10
01
11
11
00
11
11
10
10
00
10
11
00
00
10
10
11
11
11
01
00
10
00
11
10
00
11
00
01
10
10
00
01
10
00
10
00
11
01
00
10
00
11
10
10
00
00
00
00
10
10
10
01
10
00
10
11
01
11
00
00
10
11
10
10
10
01
00
10
10
01
10
11
10
10
10
01
10
11
10
00
10
00
00
11
11
01
00
10
10
10
10
01
10
11
00
10
01
10
10
10
01
00
00
00
10
01
11
00
00
00
10
00
11
10
00
00
11
00
01
00
10
00
01
01
11
01
00
10
01
10
11
01
01
11
01
10
00
10
10
11
00
11
00
10
10
00
10
00
10
10
00
10
01
00
00
01
11
11
11
01
01
01
00
00
10
11
00
00
10
11
00
00
00
11
11
00
00
00
01
11
00
10
10
01
00
00
01
10
01
00
10
10
01
01
00
11
10
01
00
10
10
11
10
01
10
11
10
00
00
00
10
10
00
10
10
00
00
11
10
10
11
01
00
00
00
11
00
00
01
01
00
00
01
10
00
01
00
11
10
00
10
01
00
00
00
10
01
11
10
11
10
10
10
11
00
00
00
00
01
11
11
10
11
10
10
01
01
11
11
10
00
01
11
00
00
10
00
10
00
00
10
10
00
10
00
00
10
11
10
00
10
10
01
00
10
00
00
11
11
10
00
10
10
00
10
10
00
00
00
10
00
10
10
11
01
01
00
01
10
10
10
01
00
10
11
00
10
00
00
00
00
10
10
10
01
01
10
00
10
00
00
10
01
10
11
00
00
00
00
10
10
00
01
11
11
10
00
11
00
00
11
00
00
00
00
10
01
11
10
00
10
10
10
00
00
00
10
10
10
00
11
01
01
10
00
11
10
11
10
01
00
10
10
11
10
00
10
10
10
00
11
10
01
00
10
00
00
00
11
10
10
00
10
10
10
00
00
00
01
10
10
10
10
10
00
11
00
00
10
01
00
01
11
11
11
01
10
00
00
11
00
01
11
11
10
00
00
11
01
00
10
10
11
10
11
10
00
01
00
00
10
10
00
10
01
01
01
10
10
00
10
11
11
10
00
01
11
00
00
01
00
00
11
00
11
10
00
10
11
00
00
11
00
10
10
00
11
11
01
00
00
00
01
00
11
10
00
00
11
00
00
00
10
01
00
00
00
11
10
00
00
01
10
10
10
10
11
00
11
10
11
10
10
00
00
00
10
10
00
11
00
10
01
00
00
11
00
01
00
00
10
10
10
11
00
00
10
11
10
00
11
00
11
10
01
00
10
00
00
10
01
10
10
10
10
00
10
10
00
00
00
00
10
10
10
01
10
00
00
11
00
01
10
10
00
10
00
10
00
00
00
01
10
10
10
01
11
10
10
11
11
00
11
11
01
11
01
01
00
10
11
00
11
10
00
01
01
10
11
01
01
10
11
10
10
10
00
00
10
00
01
00
10
10
01
10
10
00
00
00
11
11
01
10
01
00
10
10
00
00
00
00
10
10
11
10
10
00
10
10
10
10
00
00
00
10
10
10
00
11
10
10
10
01
01
10
10
01
01
01
01
10
11
01
00
00
00
10
10
11
00
10
10
11
10
11
10
01
00
10
11
10
01
01
10
10
10
01
11
10
01
00
00
10
00
11
10
01
00
00
00
00
00
11
10
00
11
00
11
10
00
10
00
01
00
11
11
01
00
00
01
10
00
01
10
00
00
11
10
00
00
10
00
11
01
10
01
00
01
00
00
10
11
01
00
01
00
10
10
10
10
00
10
10
01
00
10
10
10
10
11
10
00
00
00
00
10
00
00
10
11
00
00
10
11
10
00
00
10
10
11
00
00
00
10
00
11
10
11
00
10
10
00
00
01
10
10
11
00
00
10
10
00
00
10
00
10
00
01
10
11
10
01
01
01
10
10
01
01
10
10
10
00
00
10
01
01
00
10
00
00
10
01
11
11
00
00
00
11
00
11
01
10
11
00
11
00
00
10
00
00
11
00
10
10
11
10
00
01
10
11
10
10
00
11
01
11
00
00
11
10
10
01
00
10
00
01
10
10
00
00
00
00
10
11
10
00
01
00
00
10
10
10
10
00
01
10
11
11
10
00
00
11
11
11
00
00
10
11
00
00
10
11
00
01
10
01
10
11
00
00
00
10
00
11
00
00
10
00
10
10
01
10
10
01
00
10
11
10
11
10
10
00
00
01
10
00
00
00
01
00
10
10
11
00
00
10
10
00
01
01
00
10
11
01
01
11
11
00
01
01
00
10
10
10
01
10
10
00
01
11
10
00
00
00
00
10
11
00
10
10
11
00
10
01
11
10
00
00
00
11
00
10
11
00
01
00
00
10
10
10
00
11
10
11
10
01
10
00
00
10
10
00
01
01
01
11
01
00
10
01
11
11
00
00
10
00
10
10
00
10
10
01
01
00
00
00
01
10
10
00
11
10
10
10
01
11
00
01
11
10
10
01
00
10
00
11
01
10
10
00
10
10
00
11
10
01
00
10
10
10
10
00
00
11
00
10
00
00
00
01
10
00
10
00
11
11
10
10
01
00
11
01
00
11
10
01
10
10
00
00
11
10
01
00
11
10
11
11
00
11
00
10
10
11
01
00
00
10
00
10
11
00
00
00
10
10
10
10
00
11
00
00
00
10
00
10
11
00
10
00
10
10
10
00
01
00
01
11
10
00
00
00
01
10
11
11
10
11
10
10
00
10
10
01
00
10
01
00
10
10
10
10
01
00
00
00
00
11
01
10
10
10
00
01
01
10
10
00
00
01
11
11
00
10
00
01
01
10
01
10
10
00
00
00
11
01
10
11
00
00
10
00
10
10
00
00
10
10
10
11
11
11
10
11
10
01
01
10
00
01
01
10
10
11
00
01
00
00
11
10
10
11
10
00
10
01
10
10
00
01
10
10
11
01
10
10
00
00
10
10
10
11
00
00
11
10
01
00
01
10
11
00
00
00
11
10
01
00
00
00
01
11
00
01
10
10
01
00
11
11
11
00
00
00
11
00
01
10
10
10
00
00
10
11
01
00
10
11
10
00
10
11
11
11
11
00
10
11
10
00
01
10
10
00
00
10
10
01
00
10
00
00
01
11
11
10
01
10
10
10
00
10
11
10
00
01
00
10
00
00
10
00
00
00
00
01
00
10
00
01
10
11
00
00
00
00
00
10
11
00
11
10
00
11
00
10
10
11
00
10
10
10
10
00
11
11
00
01
10
00
01
00
01
10
10
01
00
10
10
10
01
01
11
10
00
00
00
00
11
11
01
00
10
10
01
00
11
11
10
11
00
10
00
11
10
10
00
00
10
01
01
10
01
10
00
01
00
00
10
00
00
00
11
10
10
10
00
00
00
00
00
00
10
11
00
11
01
11
10
01
00
10
01
00
10
10
11
10
11
00
00
10
00
10
00
10
10
00
01
00
10
11
11
01
10
11
11
10
11
11
00
00
00
01
10
10
11
11
01
00
01
11
11
10
00
10
10
01
10
00
00
10
10
00
10
10
01
00
01
00
10
11
10
11
10
00
01
10
11
10
01
00
01
10
01
10
10
00
00
10
00
10
10
00
01
10
00
11
10
10
10
11
00
10
10
00
00
10
10
10
00
10
10
00
00
10
10
00
01
00
00
00
11
10
01
10
00
01
10
00
01
00
00
00
11
10
10
11
01
11
10
10
01
00
10
11
10
01
10
01
00
10
10
01
00
10
01
00
00
10
01
00
00
11
00
10
01
00
10
10
00
01
00
10
00
00
10
11
10
10
11
10
00
10
00
00
01
11
11
00
10
10
00
10
10
10
00
00
01
01
11
00
00
10
00
10
00
01
01
01
11
10
00
00
00
10
10
01
00
01
01
10
00
01
01
10
10
01
10
10
01
10
11
00
00
11
10
10
00
00
11
10
01
00
00
10
10
00
01
01
10
01
10
01
10
10
01
10
11
00
00
00
00
10
10
10
00
00
10
11
10
10
01
00
11
00
10
00
00
10
00
00
00
10
00
11
10
11
11
11
11
00
10
10
10
00
01
10
11
01
11
11
11
01
01
10
11
10
01
10
11
00
00
11
00
00
10
10
00
01
01
11
10
00
00
00
10
00
10
11
00
10
10
10
10
01
00
00
10
11
00
01
01
10
11
00
01
10
00
00
10
00
01
00
11
01
00
10
10
00
00
00
00
00
00
00
11
01
11
10
11
11
10
10
01
11
01
10
10
01
00
00
10
10
01
01
10
01
10
11
10
10
01
11
01
10
10
00
11
11
01
10
10
01
00
10
11
10
00
10
10
01
00
00
00
10
11
00
10
10
11
11
00
10
10
10
00
00
00
11
01
00
10
00
10
11
10
00
10
01
01
10
00
00
10
00
01
11
00
01
10
11
01
10
10
01
10
11
11
00
00
00
00
10
10
00
11
10
10
00
00
10
10
00
01
10
01
11
10
01
11
00
01
00
11
10
01
10
00
01
10
10
01
10
11
01
00
00
10
10
01
01
10
10
10
10
10
00
00
00
00
01
00
00
10
00
01
10
10
00
00
00
00
10
10
10
00
00
10
00
00
00
10
11
10
11
00
00
00
10
00
01
00
10
00
11
01
01
10
00
10
00
00
10
10
01
00
10
00
01
10
00
11
10
00
10
00
10
11
01
10
10
01
11
10
01
10
01
11
00
10
00
00
10
10
01
00
11
11
01
00
11
10
00
11
10
00
00
11
00
00
00
10
11
01
11
10
00
00
10
00
00
00
10
00
00
10
10
00
10
10
11
10
00
10
10
10
10
00
10
11
00
01
11
01
01
01
00
01
10
10
11
10
00
00
11
00
11
00
11
01
10
11
01
11
10
00
01
00
10
00
10
11
11
10
00
01
11
00
11
10
00
10
11
00
10
00
00
11
10
10
01
11
10
10
11
00
00
00
11
11
11
10
01
00
01
10
00
00
10
00
01
10
10
10
00
10
11
11
00
00
00
00
10
11
01
01
10
00
10
10
00
10
10
00
00
11
10
01
10
11
00
01
10
11
10
00
10
11
11
00
10
11
11
11
00
01
10
10
00
00
10
10
00
01
00
10
11
00
00
11
10
01
11
10
01
10
10
10
00
00
10
00
00
00
10
10
10
00
01
00
11
10
10
00
01
10
00
00
10
10
01
10
11
01
11
10
11
10
00
00
10
10
00
11
00
01
11
11
01
01
10
10
00
01
00
10
01
10
10
11
11
01
00
00
10
00
00
10
00
00
10
01
00
11
01
00
01
11
00
00
01
11
11
10
10
00
10
01
00
11
00
00
10
11
00
10
00
00
10
11
00
01
11
10
11
10
01
00
00
11
10
11
00
10
01
00
00
01
10
11
00
00
01
01
00
10
01
00
10
10
10
00
10
00
01
00
10
11
10
10
11
00
11
10
10
00
10
00
10
00
10
01
00
10
00
10
00
00
10
00
00
11
10
00
00
11
00
10
10
01
10
11
00
11
10
11
10
00
00
00
10
11
00
10
00
11
10
00
00
00
01
00
11
10
11
01
10
00
10
10
00
01
00
10
00
10
00
10
11
00
11
10
01
00
11
11
10
10
00
00
00
11
00
11
10
01
11
10
00
00
11
10
10
10
01
10
01
00
00
00
10
10
10
00
11
10
00
10
10
10
10
11
00
00
10
11
10
01
11
11
00
10
11
01
01
10
10
00
01
10
10
00
00
00
01
10
10
01
01
10
11
10
10
10
01
00
00
11
11
10
00
11
01
11
10
01
10
11
01
10
10
00
00
11
11
00
00
10
10
10
00
00
11
00
00
00
00
11
00
01
11
11
11
00
11
11
01
00
11
10
01
01
10
11
00
01
00
10
10
10
00
10
11
01
01
10
10
00
10
00
01
10
10
00
00
10
10
00
00
10
00
10
10
11
10
11
00
10
10
01
01
00
10
11
00
11
10
01
10
00
11
00
01
11
01
10
11
00
00
11
10
10
01
10
10
01
10
00
10
10
01
10
01
11
10
10
11
00
10
00
00
00
10
10
11
10
11
10
00
10
00
10
01
00
10
00
01
10
11
00
00
10
10
00
11
01
00
10
11
00
10
11
11
01
01
10
10
11
00
10
11
00
00
11
01
01
00
10
11
11
10
01
00
10
00
00
00
00
01
10
01
00
10
01
10
00
00
00
10
01
00
10
10
01
00
11
10
10
00
00
01
11
11
00
10
11
11
00
01
10
10
10
01
01
00
10
11
00
00
11
00
00
10
11
10
10
01
00
10
10
10
10
11
00
01
01
00
01
00
11
10
00
10
10
11
10
00
00
10
10
10
11
10
10
00
01
10
10
10
10
11
00
10
00
11
01
10
11
01
01
00
01
00
10
10
01
00
11
11
00
01
10
11
11
10
00
00
01
10
00
00
00
11
10
11
10
01
01
00
00
10
00
10
00
01
10
11
10
10
00
11
11
01
00
10
00
00
11
00
00
00
10
00
11
10
00
10
00
10
11
10
10
10
10
00
01
00
00
10
00
10
10
01
00
10
00
00
01
11
10
10
00
10
11
00
00
11
10
10
10
00
01
00
01
01
10
10
00
00
10
10
10
00
01
11
00
00
10
10
01
00
00
00
10
00
00
01
10
00
10
10
00
00
01
00
01
10
00
10
10
11
00
01
10
10
11
10
01
01
11
10
10
10
00
01
00
11
10
10
11
10
00
10
10
00
11
10
11
00
11
00
00
00
10
00
00
11
00
00
00
10
11
00
00
11
10
11
01
00
00
11
11
10
00
10
10
00
01
00
01
11
10
11
00
01
10
10
00
10
10
00
00
11
10
00
11
11
11
00
01
01
01
10
11
10
00
00
01
00
10
10
00
01
00
00
10
10
10
10
01
00
00
10
00
00
10
10
01
00
10
10
10
10
00
10
01
10
01
11
10
10
00
01
10
11
00
01
11
11
11
00
11
00
01
10
00
01
00
10
10
11
10
10
00
00
11
10
01
00
10
10
00
10
01
01
10
10
10
11
01
00
10
11
10
01
00
10
10
00
00
10
00
00
10
01
10
00
10
01
10
00
00
10
01
00
10
00
00
01
10
11
01
10
10
10
10
11
01
01
01
10
11
10
00
10
10
00
10
10
00
00
11
01
01
01
00
00
10
00
11
10
10
10
01
11
00
00
10
00
00
00
01
10
11
00
01
10
10
00
10
11
00
01
11
10
01
00
01
10
00
00
01
10
10
11
00
00
00
00
11
00
10
11
10
01
01
01
00
11
01
00
10
01
00
10
11
11
10
10
00
11
11
10
00
00
11
10
10
11
10
00
00
01
00
10
11
00
10
10
10
11
10
00
10
01
10
10
00
00
10
11
10
10
00
10
00
01
10
00
00
10
00
00
11
00
11
00
01
10
00
01
11
10
00
00
10
00
00
10
11
00
01
00
00
00
00
10
00
10
10
00
10
00
00
00
10
11
00
11
00
10
00
01
00
11
10
00
10
10
10
10
11
01
10
00
11
01
10
00
11
01
01
10
00
00
00
11
00
01
00
10
10
01
11
00
10
11
11
10
11
01
00
11
00
11
00
10
10
00
01
10
10
00
10
10
00
00
01
00
00
10
11
10
11
01
10
00
00
10
10
10
11
00
01
01
10
01
00
10
01
00
11
10
10
01
00
11
01
00
00
11
11
00
10
11
11
10
11
01
01
10
10
01
10
00
10
11
01
00
10
01
10
01
00
10
01
01
10
10
01
00
01
00
11
10
00
10
00
11
10
00
00
00
10
00
11
10
00
00
10
00
00
10
10
01
10
10
00
11
10
10
10
00
00
10
01
01
10
10
00
01
01
10
01
10
01
00
10
11
01
00
10
11
00
00
10
10
10
01
01
10
00
01
00
10
10
10
01
10
10
00
10
01
01
10
11
10
10
10
10
11
00
01
11
11
00
10
00
11
00
11
01
01
11
01
11
01
10
00
10
10
00
01
10
00
10
10
11
11
00
10
10
00
10
10
10
00
11
11
11
00
11
01
00
11
10
10
01
01
00
00
10
11
10
10
01
10
11
00
00
00
10
10
10
11
01
01
00
00
00
11
10
10
00
00
11
10
00
00
10
10
10
00
10
10
00
01
01
10
10
10
11
00
10
10
01
10
10
10
00
00
00
00
10
00
01
00
01
11
10
11
00
00
10
00
01
10
00
01
01
00
00
10
10
10
00
01
01
11
11
10
00
10
10
10
11
01
01
10
00
01
10
00
00
11
10
00
11
10
00
00
00
00
00
00
10
00
01
01
10
10
01
00
00
10
00
10
01
00
01
01
10
00
00
11
10
11
01
01
10
00
11
11
11
01
10
01
10
11
00
11
11
00
00
11
00
00
10
10
00
00
00
01
10
01
10
11
00
00
01
10
11
00
10
00
00
10
10
00
01
01
11
10
10
01
00
00
10
10
11
00
01
11
10
10
01
10
10
10
00
00
10
10
10
10
00
11
00
00
11
10
10
01
10
00
11
10
00
00
10
10
10
01
00
00
10
01
11
10
00
11
01
10
00
00
01
01
01
10
11
10
01
00
11
00
11
11
01
01
10
00
01
01
10
10
00
00
00
11
10
00
11
01
00
00
00
11
01
10
00
10
01
11
01
01
01
01
10
11
10
11
00
01
10
10
11
00
11
00
01
10
01
10
10
01
01
01
11
10
11
00
10
10
00
01
00
00
01
01
10
11
00
10
00
01
10
10
11
00
11
10
10
00
11
10
01
01
10
11
00
10
10
01
00
10
10
00
01
10
11
01
00
00
00
00
01
11
10
11
00
10
00
01
00
00
11
00
10
11
00
11
01
00
00
00
10
11
10
00
00
00
10
00
00
10
00
10
10
11
00
01
00
10
00
10
10
01
11
11
11
10
00
00
00
11
00
11
11
10
01
01
10
10
01
00
11
10
00
01
10
00
11
11
00
00
00
11
01
00
00
10
10
10
10
10
01
10
10
10
01
01
00
01
10
10
00
11
00
01
10
11
00
11
10
00
11
11
00
10
11
11
11
11
00
00
00
10
10
00
10
10
10
00
01
10
00
10
10
01
10
01
10
10
00
00
11
01
10
10
10
01
11
00
01
00
01
10
11
10
00
00
10
00
01
00
10
10
01
10
10
11
00
01
00
10
10
00
01
00
00
10
00
00
01
10
11
10
01
10
00
00
11
10
01
10
00
10
10
00
10
11
00
11
11
00
00
10
10
10
10
00
00
11
01
11
00
10
10
11
00
01
01
10
10
01
11
10
00
00
10
10
10
10
00
00
00
01
00
00
10
10
10
11
01
01
00
00
01
00
10
11
11
00
10
10
00
01
00
11
11
10
11
10
00
11
11
00
10
10
00
11
01
10
10
01
11
11
10
00
00
10
00
10
10
10
01
00
00
00
00
10
11
00
00
11
01
00
00
10
10
00
00
00
10
00
10
11
00
11
00
00
10
00
10
10
10
11
11
01
11
00
10
00
10
00
10
10
00
01
10
11
10
00
00
10
10
00
01
11
00
00
10
11
00
00
11
01
00
10
00
00
00
10
01
11
10
00
01
10
10
01
00
10
10
00
11
01
00
11
00
00
01
10
10
10
00
00
00
10
10
00
11
01
00
01
10
10
10
00
01
10
01
10
01
01
10
00
00
00
11
11
00
00
11
00
00
10
01
10
00
00
11
10
10
00
00
10
11
00
10
10
00
10
10
00
01
00
00
10
11
11
00
01
00
10
11
10
11
00
10
10
10
01
10
00
01
11
00
01
10
10
10
00
01
10
10
01
00
00
11
10
10
11
00
00
11
00
10
10
01
10
00
01
11
00
10
10
10
00
00
00
00
10
00
00
10
10
11
10
11
00
10
00
00
10
00
10
01
00
10
10
10
00
01
10
01
10
00
01
00
01
11
00
01
10
10
10
01
10
00
01
00
00
01
10
10
10
11
01
01
01
10
10
10
00
10
10
11
00
01
00
00
01
00
10
00
10
01
00
11
10
01
00
00
11
10
11
10
11
00
01
10
01
11
11
10
01
01
11
10
00
10
10
11
01
00
01
10
10
10
01
01
10
10
01
11
00
01
10
01
00
10
01
11
11
00
10
11
00
11
10
00
00
10
01
01
10
11
01
00
10
10
00
01
10
11
00
10
10
10
10
11
00
00
00
00
10
10
10
00
01
10
00
01
11
10
10
10
10
10
10
01
10
00
00
10
10
10
10
01
00
00
00
10
10
10
10
10
00
10
10
00
01
10
00
00
10
11
01
11
01
00
11
00
01
01
01
10
00
01
10
10
10
01
00
10
00
10
10
00
00
11
00
01
10
10
10
00
10
00
10
10
00
10
10
10
10
01
11
01
01
10
10
00
00
01
10
10
01
01
10
01
00
00
10
11
10
10
00
00
01
11
10
10
00
11
10
11
10
00
10
10
10
10
01
00
10
00
01
01
01
00
10
11
01
00
00
00
00
11
11
10
00
00
10
11
11
01
00
11
01
00
11
11
10
00
00
10
10
10
00
01
00
11
11
10
01
10
10
01
10
10
00
00
00
01
11
11
01
00
11
10
00
11
10
10
11
00
00
10
10
00
00
11
00
10
10
10
10
00
11
11
10
11
10
11
10
11
11
00
10
11
10
00
00
11
00
01
10
01
01
10
00
11
10
10
10
00
00
10
00
00
10
10
11
10
00
00
11
00
01
10
10
01
00
00
00
10
11
10
01
00
11
10
10
01
10
10
00
10
01
10
10
00
01
00
00
10
01
10
01
00
10
10
11
00
11
11
00
10
11
10
00
10
11
01
10
10
01
01
10
00
10
10
00
00
00
00
11
10
01
00
00
11
10
10
11
10
00
11
11
01
01
11
10
00
00
11
00
00
10
11
00
00
10
00
01
10
10
10
11
00
00
11
10
00
00
10
10
10
00
00
00
00
11
00
00
11
10
00
00
00
00
11
10
10
10
00
10
11
10
00
10
00
00
10
01
10
10
10
00
10
00
00
01
00
10
11
10
00
00
00
10
00
11
00
10
10
11
00
00
10
00
10
10
00
10
10
00
11
01
01
10
10
11
00
00
10
01
00
10
11
00
01
00
11
10
11
10
11
00
00
10
10
10
00
00
11
00
01
10
01
10
01
10
11
11
01
00
10
10
00
10
00
01
01
00
10
10
10
01
11
10
01
00
01
11
00
00
11
10
01
01
10
11
00
10
10
10
00
00
00
10
01
10
10
10
10
01
01
01
01
11
00
01
10
10
10
10
00
10
01
10
00
00
11
00
11
10
00
11
10
11
00
11
10
11
01
01
10
10
11
00
00
00
10
11
00
00
00
10
00
01
10
10
00
10
01
00
01
10
00
00
10
10
00
11
10
11
00
00
00
10
10
10
11
00
01
00
00
01
00
00
11
10
01
00
10
01
00
11
11
10
00
00
10
10
10
01
10
01
01
00
00
01
11
11
10
01
01
00
10
10
10
00
00
00
11
10
11
11
01
01
10
11
01
11
10
01
00
10
10
00
00
01
10
10
01
00
10
10
01
10
00
10
00
10
00
01
00
01
11
00
00
01
10
10
10
00
01
11
01
00
00
10
01
00
11
10
00
11
10
11
10
10
00
01
10
01
01
11
00
10
11
00
00
00
10
10
01
10
01
00
10
10
00
11
10
11
01
00
00
01
10
10
00
00
11
10
00
00
10
11
10
10
10
10
00
00
10
00
11
10
11
01
00
00
00
11
10
10
00
01
10
00
00
11
10
01
10
00
00
00
00
00
11
10
00
10
10
00
10
10
00
10
10
10
11
00
00
10
11
01
10
11
00
00
00
01
10
11
10
10
00
00
00
00
10
10
11
00
00
10
00
10
10
10
01
00
01
10
01
10
10
00
00
00
10
11
01
10
01
01
11
00
01
10
10
10
00
11
00
10
10
00
00
00
10
00
10
10
11
01
00
00
11
10
11
01
10
10
00
00
10
10
00
01
10
01
00
11
11
01
01
10
11
11
10
01
10
00
00
10
10
00
00
10
00
01
11
10
00
00
10
00
01
00
10
00
00
00
11
11
10
11
01
01
01
10
00
00
10
10
10
01
11
11
11
11
10
11
10
00
01
10
11
00
10
10
00
01
00
00
10
10
10
10
10
01
10
01
00
00
11
11
10
10
11
00
00
10
11
01
00
10
10
00
00
00
00
10
10
00
00
01
01
11
11
00
10
00
10
01
00
11
10
00
11
10
10
10
01
10
01
01
01
01
00
00
01
00
10
10
11
00
01
00
11
00
11
10
11
00
01
00
01
11
10
00
00
10
10
00
01
10
00
11
11
00
00
00
00
11
10
00
10
11
10
11
10
01
00
10
00
00
10
10
01
10
10
11
11
01
00
00
10
11
00
01
10
10
10
11
00
10
00
01
11
10
10
11
10
10
10
00
00
01
10
11
00
00
10
01
01
00
11
10
00
10
00
01
11
11
01
00
00
00
00
10
10
00
00
01
10
01
10
00
00
01
01
10
00
01
10
00
10
11
10
11
01
00
00
10
01
01
00
10
10
11
10
01
10
00
00
00
00
00
11
10
00
01
10
11
10
01
00
10
10
00
00
10
10
00
10
01
00
00
10
10
00
11
10
01
01
10
01
00
10
10
10
00
10
10
10
00
00
01
00
11
01
00
11
00
00
00
01
10
11
10
00
01
00
11
11
01
00
10
11
10
10
00
00
00
11
10
00
11
11
01
00
00
10
00
10
00
00
11
01
11
00
00
01
10
10
01
00
10
10
01
01
01
01
00
10
10
00
10
11
00
01
10
10
11
01
10
00
11
10
00
00
10
11
00
11
10
10
11
01
10
00
00
10
01
11
01
10
10
00
01
00
10
10
00
00
10
11
00
00
00
00
01
00
00
10
10
00
01
01
10
00
00
10
00
10
00
00
11
11
01
00
10
00
00
11
11
11
01
10
10
10
00
10
10
00
10
11
00
00
10
01
01
10
00
00
00
00
01
10
10
01
10
11
01
10
11
01
01
10
00
00
10
11
00
11
00
00
10
11
01
00
00
11
11
10
00
10
01
11
00
01
11
10
10
00
00
10
10
01
10
00
00
10
11
11
00
01
00
11
00
10
10
00
00
00
10
11
10
00
11
00
10
11
10
01
10
11
00
11
11
11
11
10
10
00
10
00
01
00
10
10
01
00
00
10
11
00
01
11
00
01
10
00
11
01
00
10
00
00
10
10
11
01
11
01
01
10
01
01
11
10
01
00
11
10
01
00
01
10
11
10
11
00
00
10
10
10
11
01
01
11
11
01
01
11
00
01
10
00
00
10
10
00
00
00
01
10
11
01
10
10
00
01
10
11
00
11
10
00
01
10
11
01
10
11
00
10
11
10
01
00
10
00
10
10
01
11
00
01
10
00
00
10
11
10
10
00
00
01
00
10
10
10
10
10
00
00
00
10
00
10
10
10
00
11
00
01
10
01
00
11
00
11
11
00
01
01
10
10
00
01
10
01
01
11
01
01
10
01
11
10
10
00
00
10
10
11
00
00
11
00
00
10
01
10
00
10
10
01
00
01
10
11
00
00
01
10
01
00
10
10
10
10
00
01
00
10
00
01
00
01
00
00
10
10
00
10
11
01
11
00
11
01
01
11
10
00
00
00
10
10
01
00
10
10
10
01
00
01
00
11
11
10
00
10
10
11
10
00
10
00
10
10
10
01
01
10
00
10
10
01
00
11
00
00
10
10
00
10
11
01
00
00
00
10
11
10
00
10
11
01
00
10
10
11
11
00
11
00
00
00
00
10
10
00
10
10
01
00
00
10
01
10
10
00
01
10
01
00
11
10
00
00
00
00
10
00
01
10
10
10
00
10
00
01
10
00
01
10
11
10
11
10
00
01
11
00
01
00
10
11
10
11
11
00
00
11
00
00
01
10
10
00
00
01
10
01
00
10
10
00
10
10
00
00
00
10
11
00
00
01
11
11
00
10
11
01
10
01
01
11
10
11
10
01
00
10
10
00
00
10
10
00
11
10
00
10
10
00
00
00
00
00
11
10
11
10
00
11
10
10
10
00
01
11
10
00
10
11
10
01
10
00
00
01
00
10
00
00
10
00
00
00
10
10
11
00
01
10
11
00
01
00
10
10
01
00
10
10
00
01
01
10
11
10
01
11
10
00
00
01
00
10
11
00
10
10
11
01
00
00
00
00
01
00
00
10
10
10
10
00
00
01
00
01
10
11
00
10
10
00
10
10
00
01
00
11
00
11
10
10
00
01
00
10
10
00
10
00
00
10
10
10
00
00
10
00
00
10
10
10
10
00
10
11
00
10
10
01
11
00
00
10
01
01
10
10
01
10
11
10
00
10
01
00
10
00
00
10
10
00
10
10
00
00
00
00
10
10
01
00
01
11
00
01
10
00
01
11
11
00
00
10
10
00
00
01
10
10
01
00
11
10
00
10
11
10
00
01
11
11
10
00
11
01
10
00
01
01
11
10
11
10
10
00
10
00
00
10
11
01
10
00
00
11
00
10
00
11
11
00
11
11
00
11
10
01
00
10
11
00
00
10
10
01
10
00
00
10
10
01
01
10
10
10
10
10
10
10
10
11
00
01
00
00
11
10
10
00
10
11
10
01
00
01
10
00
01
11
10
00
01
00
10
10
00
00
10
10
10
01
10
01
00
11
10
11
11
00
10
10
11
11
10
00
11
00
00
11
10
00
10
10
00
10
11
00
01
11
11
11
10
11
10
11
00
00
10
10
10
10
01
00
11
10
00
00
01
10
10
00
00
01
00
10
11
01
11
10
01
00
00
00
00
10
10
10
00
00
00
10
00
00
10
10
00
10
00
10
00
00
00
00
00
11
10
00
10
10
01
00
00
10
00
11
10
00
10
11
00
10
10
00
00
01
00
11
11
01
01
10
10
00
10
11
01
10
11
00
11
10
00
10
00
00
00
11
11
10
00
00
10
00
10
00
00
00
00
10
00
01
01
01
00
01
00
00
10
10
10
00
00
10
00
00
00
11
11
00
00
00
00
10
10
01
00
01
10
10
00
10
00
00
01
10
00
00
10
00
01
01
01
11
00
11
11
00
01
11
10
10
00
00
00
00
11
01
10
00
11
11
10
00
01
11
01
10
10
00
00
10
01
00
10
00
10
01
00
10
10
00
01
10
11
00
00
10
00
00
00
00
11
10
00
00
10
00
10
10
00
00
00
10
10
00
01
11
00
11
10
10
00
00
10
00
10
11
10
10
00
10
11
11
10
00
00
10
01
01
10
10
00
10
00
00
10
00
01
00
10
10
10
10
01
10
01
11
11
01
00
10
00
00
10
11
10
10
10
00
00
01
11
00
00
10
11
10
11
00
10
10
10
01
01
10
01
00
11
10
10
00
10
01
01
10
11
10
10
00
01
10
11
10
00
00
00
10
10
10
01
01
11
00
11
10
00
10
10
00
11
11
00
10
00
00
10
00
10
01
10
11
00
00
10
11
00
00
11
10
11
10
01
00
10
00
10
00
10
00
00
10
11
01
10
10
10
11
00
00
10
01
00
01
00
01
11
11
10
00
10
10
10
00
01
10
00
10
00
10
10
11
11
10
10
10
11
00
01
00
01
11
11
00
00
00
10
10
00
00
11
01
10
00
10
00
01
00
10
00
00
10
11
00
10
00
10
00
11
11
10
00
10
10
11
00
00
01
01
00
11
10
00
00
01
10
01
00
01
10
11
00
10
10
11
10
11
10
11
00
00
11
01
01
10
10
00
00
00
11
11
00
01
10
01
00
10
10
01
11
01
10
10
10
11
00
11
00
00
10
00
10
10
10
01
10
10
00
00
00
10
11
00
10
10
10
11
00
00
00
00
01
10
10
11
00
10
10
10
10
00
00
10
00
10
11
10
11
10
01
10
10
00
01
10
10
10
00
10
01
11
10
11
00
11
11
00
10
00
10
10
11
00
01
10
11
01
10
10
01
10
11
10
01
00
10
10
11
10
00
00
10
10
10
00
00
00
00
01
10
00
10
00
10
01
10
11
00
11
10
01
00
10
10
00
00
11
11
00
00
11
11
11
00
10
10
11
10
10
00
11
10
00
00
00
00
10
01
00
10
10
10
10
10
11
01
10
10
10
00
00
01
10
10
00
00
01
00
11
10
11
00
01
10
00
10
11
01
01
00
10
10
11
00
01
11
00
01
10
10
01
10
11
10
10
00
10
10
11
10
00
11
10
10
10
00
01
00
00
10
00
10
10
00
11
11
00
10
10
11
01
11
00
00
10
11
10
10
10
00
01
10
11
10
00
01
10
01
11
10
01
01
01
10
11
00
00
01
11
00
00
10
10
00
10
11
00
00
00
10
10
01
10
01
00
10
11
01
10
10
11
10
10
10
00
01
10
00
01
10
00
11
10
01
00
10
11
00
01
00
00
10
11
01
01
10
10
10
01
00
00
00
10
11
10
10
00
10
00
00
11
10
01
00
10
00
00
11
00
00
00
00
10
10
00
10
10
00
10
10
01
10
11
11
11
00
10
10
00
11
10
01
00
01
11
00
01
10
10
01
00
11
10
01
01
10
11
00
10
10
11
00
10
10
10
11
10
00
00
10
10
11
10
11
10
01
10
00
01
10
00
00
10
01
01
10
00
00
01
00
10
10
10
00
01
10
00
00
00
01
11
10
10
01
01
11
01
10
01
01
01
11
11
00
01
10
10
00
10
10
01
00
10
00
01
10
10
00
10
10
01
10
10
01
00
01
10
10
10
01
01
11
01
00
00
01
00
00
10
11
00
01
10
11
11
00
00
00
10
10
10
11
10
01
00
10
01
00
10
10
01
00
10
10
00
11
10
00
00
00
00
00
00
10
00
01
00
10
01
10
11
11
10
01
10
11
11
00
00
10
00
01
10
00
00
11
10
01
00
10
01
11
00
10
10
00
00
10
00
10
10
10
10
00
00
10
10
11
00
10
00
01
00
00
10
10
01
00
00
10
11
01
01
11
11
10
00
11
01
10
11
00
00
11
01
10
01
00
10
01
10
00
11
01
00
10
11
01
10
00
00
11
00
11
10
01
00
00
10
00
00
10
00
01
11
01
11
10
10
00
00
10
00
00
11
01
11
01
00
00
10
01
01
10
10
00
00
11
10
00
10
00
10
10
10
00
01
10
11
00
00
01
00
00
10
10
00
11
00
10
11
10
01
01
11
01
01
11
10
10
01
00
10
11
00
00
10
00
10
01
11
11
10
10
00
11
10
10
00
00
00
01
00
11
00
00
00
00
10
10
00
00
10
10
00
11
01
10
10
00
01
10
11
10
10
01
00
00
10
01
01
00
10
11
10
00
00
10
11
10
01
00
00
00
11
11
10
00
01
01
00
10
01
00
10
10
00
01
11
00
11
11
00
10
00
10
10
10
01
00
01
00
00
10
00
11
10
01
10
00
10
01
00
00
10
10
01
00
01
10
10
01
11
00
01
10
10
00
10
01
00
00
01
10
00
11
01
11
01
10
10
00
01
11
00
10
00
10
11
01
01
10
10
00
10
10
10
10
00
00
11
10
10
10
10
11
10
10
00
11
00
01
01
10
10
01
00
10
10
10
00
00
10
01
00
01
10
10
10
10
10
00
10
10
11
10
10
01
01
10
11
11
00
00
00
00
00
01
11
10
11
10
00
11
00
11
00
00
10
11
11
11
10
00
10
00
00
00
11
10
00
00
01
10
01
11
10
00
00
00
10
10
00
11
10
00
01
11
10
11
11
00
01
10
11
00
00
01
10
10
00
10
10
10
00
00
10
10
00
11
10
11
10
00
00
01
00
10
00
00
10
01
11
10
10
00
10
00
10
00
10
00
11
10
01
01
10
11
11
11
00
00
11
01
10
10
11
01
00
10
00
11
00
11
11
00
11
01
00
00
10
10
10
10
00
01
10
10
01
01
11
10
10
10
01
01
10
11
00
00
10
10
00
11
00
00
00
10
00
11
10
01
01
00
01
01
10
10
10
00
10
10
00
00
10
10
00
01
10
11
00
00
00
00
01
10
00
00
10
10
10
00
01
10
00
00
10
00
01
10
10
11
10
01
01
01
10
00
10
10
00
10
01
00
10
00
10
10
11
10
00
00
00
10
10
01
01
10
01
00
11
11
11
00
11
11
10
10
10
10
00
00
10
00
01
10
10
00
01
10
11
01
10
10
01
01
01
10
00
10
10
10
10
10
00
00
00
11
00
11
00
00
00
01
10
10
10
00
10
01
10
00
10
11
10
00
10
01
00
00
00
10
01
00
11
11
01
10
00
00
01
10
11
01
00
01
00
11
10
00
10
00
00
00
00
10
11
10
10
00
10
10
00
01
01
10
10
01
00
01
00
11
11
10
01
10
00
10
00
00
01
11
10
11
00
00
11
01
00
11
11
00
11
10
00
00
00
11
10
01
10
00
11
00
00
10
11
01
10
11
11
10
10
10
00
01
11
10
10
10
10
00
01
11
11
11
00
10
10
00
10
01
00
10
00
00
10
01
00
11
00
00
10
00
11
01
11
00
01
11
01
01
10
10
01
01
10
01
10
11
00
11
00
01
00
11
01
00
01
01
10
10
10
00
00
10
10
10
01
10
10
00
10
11
11
00
01
10
10
01
00
01
00
10
10
10
10
00
10
00
11
10
10
10
10
10
00
01
00
00
01
10
00
00
11
00
10
00
10
01
01
11
10
00
00
11
01
01
10
00
00
00
10
10
01
10
00
00
11
10
00
11
10
10
01
01
00
00
10
10
01
10
00
01
10
10
11
01
10
00
10
01
00
11
10
01
00
11
10
00
00
00
00
10
11
10
10
10
10
10
10
00
01
10
10
11
01
01
11
01
00
10
10
00
11
10
10
00
01
11
10
00
01
10
11
11
01
11
11
10
10
01
01
00
10
10
00
10
10
00
00
11
11
10
00
01
00
01
10
11
01
10
01
10
10
01
01
10
10
10
00
00
11
00
10
00
10
11
01
01
00
00
00
00
00
11
10
01
00
10
11
11
00
11
00
11
11
01
10
01
01
10
01
01
10
10
10
00
10
10
01
01
00
00
01
11
11
10
00
10
00
11
10
01
01
11
01
10
10
00
01
11
11
10
01
10
10
10
11
00
00
10
10
10
00
11
00
00
10
00
10
00
01
10
01
01
00
01
01
01
00
10
10
01
10
11
11
10
11
01
00
10
10
00
01
10
00
01
10
10
01
01
10
10
00
10
10
00
00
00
00
10
10
11
10
10
00
00
01
11
11
10
11
00
11
11
01
00
10
11
10
00
00
00
10
00
00
10
10
10
00
00
10
10
00
10
10
00
10
01
11
10
10
00
11
10
10
00
00
11
10
00
11
10
01
01
01
10
00
11
01
10
10
10
01
00
10
00
00
10
10
00
01
10
10
10
10
01
11
00
11
00
01
00
10
10
00
00
11
10
00
10
01
01
10
10
00
01
11
00
01
10
10
01
00
00
10
10
01
10
01
00
11
11
00
10
11
00
11
10
00
01
10
11
00
00
10
10
00
00
00
10
10
00
10
00
01
01
10
01
10
00
00
11
11
10
10
11
11
00
00
01
00
00
00
10
11
11
00
00
00
00
11
11
00
00
10
11
00
11
10
01
00
10
00
00
10
10
10
01
00
10
01
10
11
01
10
11
10
01
10
10
00
00
10
01
11
10
00
00
10
01
00
00
10
10
00
10
00
00
01
10
11
00
00
10
10
00
10
10
01
00
01
11
00
01
10
00
00
10
10
10
00
01
11
00
11
00
10
10
10
11
00
00
10
00
00
00
11
01
00
10
10
10
10
00
00
10
10
10
00
01
10
00
10
00
10
00
00
10
10
00
01
01
01
01
10
00
00
10
11
11
00
01
10
11
10
01
00
00
00
10
00
00
00
01
00
10
10
00
10
01
10
10
00
01
01
00
00
10
10
00
11
01
10
01
00
10
10
00
10
10
00
01
10
00
00
01
10
00
10
00
01
11
01
01
10
00
10
00
10
01
01
11
11
01
11
10
01
00
10
10
01
00
10
10
00
00
11
11
01
10
01
10
00
10
10
10
00
00
10
10
00
01
00
00
11
00
01
11
11
10
00
00
10
10
11
01
11
00
10
00
01
11
10
00
00
00
10
00
10
10
01
00
10
00
11
00
00
00
01
10
00
01
00
01
11
00
11
01
00
11
00
00
10
10
00
01
10
01
01
10
10
00
01
10
00
00
11
00
00
01
00
10
10
00
10
10
10
01
00
10
00
00
11
10
00
01
01
11
10
01
00
10
10
00
00
11
11
01
11
10
10
10
11
10
00
00
00
11
01
00
10
10
10
11
10
11
01
01
10
11
00
10
10
00
01
10
11
00
11
11
01
10
10
11
01
01
00
10
11
11
10
10
10
10
00
00
10
00
00
00
00
11
11
01
01
10
00
11
00
01
11
10
01
01
11
00
10
10
01
00
11
11
00
11
00
10
10
00
10
10
00
00
01
00
01
01
10
00
10
10
10
00
11
11
10
11
11
00
01
00
00
00
10
10
10
10
00
01
00
10
01
10
00
01
10
00
01
10
10
10
01
10
01
10
10
11
01
10
00
00
00
01
11
11
00
10
01
00
11
00
10
11
11
00
00
10
10
00
11
00
10
11
10
01
01
10
00
01
01
11
10
00
10
01
00
10
10
01
00
10
00
00
10
11
01
01
01
10
11
10
00
10
01
00
10
10
00
00
10
10
01
11
11
01
10
00
10
10
00
10
11
00
01
00
10
00
00
00
10
10
01
00
10
00
00
00
10
10
10
00
10
00
11
00
10
00
00
00
10
11
10
01
10
01
10
10
00
10
00
01
11
00
11
10
00
10
11
10
11
00
10
01
00
11
01
10
11
11
00
01
00
01
01
10
10
10
00
10
10
00
01
10
00
10
11
00
11
00
00
00
11
11
01
10
10
10
10
00
01
10
10
00
01
00
10
10
00
10
11
10
00
01
10
00
10
10
01
10
10
00
11
10
00
10
00
01
00
00
10
10
00
10
10
10
11
11
10
10
10
00
01
00
10
10
10
00
00
00
11
10
00
11
10
00
00
10
01
11
01
11
00
01
10
01
00
00
00
10
10
00
10
10
10
01
10
00
00
00
10
01
10
10
01
01
10
11
00
10
11
00
01
00
00
00
00
10
10
11
00
10
00
10
01
11
00
10
01
10
01
00
10
11
11
01
10
11
00
11
10
00
10
11
00
00
00
11
10
00
00
01
00
00
11
00
00
10
10
11
00
00
10
00
00
00
10
11
00
01
00
00
10
10
00
10
00
00
10
10
10
01
10
01
00
10
10
01
00
00
10
11
11
11
00
00
00
01
10
10
00
01
00
01
00
11
11
01
10
01
10
11
00
00
00
10
00
00
00
10
10
00
01
10
00
11
01
10
01
11
01
01
11
10
00
00
00
00
11
10
11
10
01
10
11
10
00
10
11
00
00
01
11
01
10
10
00
10
11
00
11
10
00
00
00
10
10
00
01
10
11
10
10
00
01
00
10
11
10
10
01
10
11
10
00
00
01
11
01
00
11
10
10
10
00
10
10
01
01
11
01
10
10
00
00
11
00
01
10
00
01
10
10
10
10
11
00
00
00
00
11
00
11
10
10
00
10
00
00
10
10
00
10
00
00
10
01
00
00
10
10
00
10
11
00
01
00
00
01
01
11
11
10
01
10
00
10
10
11
00
11
11
01
00
10
01
00
00
10
01
01
00
01
01
00
00
10
00
11
00
00
11
00
10
10
11
10
10
00
11
10
10
11
00
00
01
11
11
10
00
10
00
00
01
11
10
01
10
00
00
00
11
00
00
10
00
10
01
00
10
10
01
01
11
01
01
00
10
01
00
10
11
10
01
00
00
10
11
10
01
00
10
10
10
00
00
00
10
11
01
01
11
10
11
00
01
11
10
00
00
11
11
00
00
11
11
11
11
10
00
01
10
01
10
01
00
10
10
01
10
10
10
11
00
00
00
01
10
11
01
10
10
00
00
00
10
10
00
00
00
10
11
00
00
10
11
10
11
00
10
11
11
00
10
00
00
10
10
00
00
10
10
10
00
11
10
10
00
10
00
10
01
01
00
00
00
11
10
00
00
10
11
01
00
10
00
00
01
10
00
00
10
01
00
00
01
00
00
00
00
10
10
10
00
01
10
10
00
11
00
01
10
11
11
11
00
00
00
11
00
00
11
11
11
10
01
00
01
11
10
10
00
00
10
11
00
00
11
00
01
11
11
11
00
00
10
10
00
00
11
10
00
01
00
10
10
00
10
00
10
10
10
01
11
10
10
11
11
00
00
11
11
00
10
10
01
00
10
10
00
10
11
01
00
11
11
00
01
10
11
10
10
01
10
10
00
00
11
01
00
00
01
11
10
00
01
11
01
11
10
00
00
10
10
00
00
10
10
01
00
00
00
10
00
10
10
00
11
10
00
10
11
00
01
11
10
00
00
11
11
10
00
00
10
00
00
01
11
11
11
10
11
00
10
00
10
10
00
10
11
00
10
11
01
11
10
10
00
11
01
10
10
00
00
00
10
11
10
11
10
11
00
00
01
10
10
11
11
00
00
00
11
01
01
01
00
00
10
00
10
10
10
00
00
10
00
00
00
00
11
00
10
00
00
10
10
00
00
01
11
01
11
10
11
10
11
10
01
01
10
01
01
11
10
01
00
10
00
00
10
11
10
00
01
10
00
01
01
10
10
00
11
01
00
01
10
01
11
10
00
00
11
10
11
00
10
00
00
00
01
11
10
01
00
10
00
11
00
00
00
10
10
00
10
01
10
01
01
00
11
11
11
10
00
00
10
01
00
00
10
10
01
01
01
10
10
01
00
00
00
00
11
01
10
01
01
10
01
10
10
00
10
10
00
00
10
00
01
01
10
11
10
00
10
10
00
00
10
10
10
00
11
01
10
11
10
00
10
01
00
00
00
01
11
10
01
00
10
00
00
10
10
00
01
10
10
10
01
10
00
00
11
00
00
10
10
01
00
00
11
10
11
00
00
10
00
00
10
00
01
11
11
10
10
00
10
00
00
11
10
10
00
01
11
11
01
00
10
00
00
00
10
11
00
10
00
10
10
01
00
10
01
00
10
00
11
01
10
00
01
11
01
10
10
11
00
10
10
01
00
10
00
10
10
10
00
00
00
01
00
10
00
00
00
00
00
10
10
10
01
01
11
10
11
00
00
00
00
10
10
00
10
00
00
01
00
00
10
11
10
10
00
01
11
00
00
10
00
00
00
11
00
01
10
00
01
11
10
10
00
00
01
10
10
00
10
00
10
10
11
00
10
01
10
01
01
10
11
00
10
00
00
10
11
11
00
00
10
11
10
00
11
00
00
10
10
01
10
01
10
00
01
00
00
01
10
11
10
00
10
10
10
11
10
11
01
11
11
01
01
01
10
10
11
00
11
11
00
01
10
11
10
10
00
01
01
11
00
11
10
10
10
10
01
00
10
00
01
00
11
00
10
11
00
10
11
11
00
10
00
00
11
11
00
01
00
11
10
00
10
11
01
00
00
10
10
01
11
11
00
00
01
00
00
00
10
10
00
00
10
10
10
11
00
01
11
11
01
10
00
00
10
00
10
00
10
11
10
00
00
10
00
10
11
00
10
10
10
10
00
10
00
01
00
11
00
10
00
00
10
11
00
10
10
10
10
00
00
00
01
10
00
00
10
10
10
10
11
10
11
10
00
11
10
00
00
00
11
00
10
10
10
10
10
10
01
10
00
01
10
10
11
00
10
11
00
00
01
10
10
11
10
11
00
10
01
11
10
11
01
00
11
11
11
11
00
01
10
00
00
10
00
01
00
10
01
11
11
10
00
11
10
00
10
10
00
00
00
00
01
10
11
00
00
10
10
11
10
11
00
10
10
10
10
00
00
10
10
01
10
11
00
01
11
00
10
10
11
00
10
00
00
10
11
00
01
11
11
00
10
11
10
00
00
00
10
10
11
11
00
01
11
10
00
00
00
10
11
01
11
00
11
10
00
00
01
11
10
11
01
01
01
10
11
10
10
00
10
10
01
01
10
00
11
01
11
00
10
01
10
01
10
10
01
10
10
11
11
01
11
00
00
10
01
00
00
11
10
11
10
00
10
11
00
01
10
10
10
11
00
01
00
10
00
00
00
10
10
11
00
00
10
11
10
11
01
11
00
00
10
00
11
00
00
10
01
11
11
11
00
00
00
10
00
10
10
10
10
00
01
11
00
00
10
10
10
10
00
01
11
10
10
00
00
10
00
11
10
00
10
10
00
10
00
10
11
01
01
00
00
10
11
11
11
00
00
11
10
00
00
10
10
00
00
00
10
10
10
00
01
01
00
10
11
01
01
00
11
10
10
00
00
11
11
01
11
10
00
00
11
00
00
10
01
11
11
01
10
00
01
11
10
01
00
00
10
10
11
01
10
11
00
11
00
10
10
11
10
11
10
01
00
10
01
00
00
10
10
00
01
01
10
01
11
10
00
00
10
00
10
01
10
00
00
00
00
10
10
00
10
10
10
10
00
10
00
11
10
11
00
10
10
00
00
00
01
00
10
11
10
11
00
00
00
00
11
00
10
10
10
11
10
01
01
00
10
01
10
00
10
00
10
00
00
10
00
01
11
00
00
11
00
11
10
01
00
00
10
10
10
00
01
11
00
01
00
10
00
00
01
10
11
00
10
10
10
01
01
11
11
01
10
11
10
11
00
00
10
10
00
10
10
01
00
00
10
01
10
10
11
00
10
10
11
00
00
10
10
00
00
10
11
10
01
01
10
10
00
01
10
10
00
10
00
00
00
00
01
11
01
10
10
10
11
00
00
00
10
10
00
11
01
10
10
11
00
11
00
01
10
10
11
00
10
11
11
00
00
01
00
00
00
10
01
00
10
00
00
00
10
00
00
00
00
00
00
11
10
00
01
10
11
00
11
00
00
00
10
00
11
10
11
00
00
10
10
10
01
01
10
11
00
01
00
00
00
10
01
00
00
00
10
11
10
00
10
10
00
11
01
00
00
00
11
10
10
11
11
00
00
00
00
00
00
01
10
11
01
00
11
01
00
10
10
00
10
10
10
10
00
01
10
01
10
11
01
00
10
10
00
01
01
11
10
11
11
00
10
01
11
11
00
01
00
11
11
00
11
10
00
00
01
10
10
01
01
10
01
10
11
00
10
10
00
00
10
00
00
00
10
10
11
10
11
11
10
00
00
01
01
00
10
10
00
00
00
01
00
10
11
01
01
11
00
10
01
10
00
10
10
00
00
01
10
11
00
10
01
10
10
11
10
01
11
00
00
11
00
00
00
10
11
01
00
11
00
00
00
00
11
10
10
00
01
10
11
10
01
00
00
10
11
00
00
10
10
00
01
00
11
01
01
10
11
00
01
10
10
01
00
10
10
10
00
10
10
00
00
00
01
00
10
10
01
10
11
00
10
00
00
00
11
00
00
11
00
01
11
00
11
10
10
00
10
11
11
01
00
00
10
00
01
11
00
00
00
10
11
00
11
00
11
10
11
00
01
11
10
11
10
00
00
10
00
01
00
10
00
01
00
10
10
00
11
00
10
11
00
00
10
10
00
01
10
00
11
11
10
00
00
10
11
00
01
01
10
01
10
01
10
11
10
01
10
10
10
00
01
01
10
10
01
00
00
11
11
01
01
10
10
00
00
10
10
00
10
10
01
10
11
11
01
10
10
00
10
01
11
10
00
10
10
00
00
00
00
01
10
10
10
10
10
10
01
10
00
10
01
10
10
11
01
11
00
10
10
00
11
11
01
01
10
00
01
10
01
00
10
10
00
00
10
10
00
01
11
10
00
00
10
11
01
10
10
10
00
00
01
01
00
00
10
00
10
00
00
10
11
00
10
00
11
00
11
00
00
10
10
01
11
10
01
11
11
01
00
10
00
10
00
00
00
01
00
10
10
00
00
00
00
10
01
01
00
10
00
10
01
10
10
00
00
01
00
10
10
00
01
10
10
01
00
00
00
11
10
01
00
00
00
00
10
11
10
00
11
10
10
00
01
11
11
00
10
10
00
00
00
00
10
11
01
11
10
00
10
10
10
10
00
01
10
01
00
01
00
11
10
11
00
01
01
10
11
01
01
01
01
00
00
01
01
10
11
10
10
00
00
10
11
00
00
10
11
10
00
11
10
00
11
10
10
10
00
01
10
00
01
10
01
10
10
11
11
10
00
00
11
10
00
10
00
00
10
10
01
01
10
00
11
00
10
10
11
11
10
10
00
11
00
11
10
10
10
11
00
01
10
00
00
11
10
10
01
00
11
01
00
10
10
11
10
10
00
00
01
10
00
00
10
11
00
11
00
10
11
10
00
00
10
11
10
11
01
00
10
11
10
00
10
11
00
10
01
10
00
01
11
00
00
10
01
11
10
01
00
10
11
00
10
00
00
10
00
00
01
10
00
10
01
00
11
00
10
10
00
10
11
10
01
10
00
10
10
10
01
10
11
01
11
00
10
00
01
11
10
10
01
10
11
10
01
00
10
11
01
00
00
01
00
10
10
00
11
10
00
10
00
10
11
11
00
10
10
00
01
11
11
00
00
00
00
10
10
10
11
01
00
00
01
11
01
00
11
00
01
10
10
01
00
10
10
00
00
10
10
10
10
00
10
00
10
00
10
01
10
00
00
10
10
01
10
11
10
00
00
01
11
01
01
10
00
11
00
00
01
10
01
11
10
10
00
00
10
10
00
10
00
10
11
10
10
10
10
10
01
01
10
00
01
10
01
00
00
11
01
01
11
00
01
01
01
01
01
11
10
10
01
01
10
11
00
01
11
00
10
10
10
00
00
11
00
10
00
00
10
10
10
10
00
00
00
10
01
10
10
01
01
11
10
10
00
10
10
10
10
00
00
00
10
00
11
00
00
10
10
10
00
10
10
00
10
11
01
10
01
00
01
10
01
00
00
00
10
10
10
11
00
01
00
10
00
00
10
10
10
00
01
00
01
10
10
01
00
10
00
10
00
11
01
00
11
10
00
11
10
00
01
10
10
00
00
11
11
11
10
00
11
00
10
10
11
01
11
11
11
01
00
10
01
11
00
10
00
00
11
10
00
01
10
10
01
00
11
01
00
11
10
00
00
11
10
11
10
00
01
10
00
10
10
00
01
10
10
11
00
01
00
00
00
00
00
00
10
10
10
01
01
10
10
11
00
10
00
00
10
10
10
01
00
11
01
00
10
01
01
11
11
10
10
01
10
01
00
10
01
00
00
10
10
00
00
11
10
11
00
10
10
00
10
10
10
00
00
10
10
00
10
01
10
01
00
10
11
00
10
10
10
01
01
10
10
10
01
00
00
01
10
11
01
11
11
11
11
10
10
00
01
10
01
00
01
10
01
10
11
00
00
11
10
10
00
00
10
11
00
00
00
10
00
10
00
10
01
10
00
00
00
00
00
10
11
10
01
00
10
10
01
10
11
10
10
00
10
11
01
10
11
00
00
10
00
10
00
00
10
10
01
10
10
00
11
00
00
10
01
10
10
00
01
00
11
10
00
10
00
00
10
00
10
00
00
10
00
10
10
10
00
01
00
10
11
10
10
00
11
11
00
01
01
00
01
11
10
01
10
11
11
11
11
01
01
10
10
00
10
01
01
11
10
10
00
01
10
10
00
00
10
01
10
01
01
11
10
10
00
00
01
11
11
01
01
11
01
00
11
10
01
10
10
00
00
10
10
01
01
00
00
01
11
00
01
10
11
10
11
00
01
10
00
00
10
10
00
10
11
11
00
00
11
01
01
11
00
10
01
00
00
00
10
10
00
10
00
00
10
00
00
00
11
10
00
11
11
10
11
10
11
00
00
00
11
11
01
00
00
00
10
11
10
01
11
01
01
00
00
11
10
00
00
10
10
01
10
10
10
00
00
11
00
10
10
00
10
11
00
01
00
01
00
00
00
11
11
00
11
11
10
00
10
11
01
10
11
01
01
01
00
11
10
00
00
10
10
00
11
00
10
00
10
10
11
10
10
10
10
00
00
10
10
10
00
00
00
10
10
00
11
10
01
10
11
10
10
00
10
10
00
00
10
10
10
11
10
01
00
00
10
00
10
10
10
00
10
11
00
00
00
10
10
00
10
10
01
01
00
11
00
11
10
00
00
01
11
10
11
01
11
11
00
00
00
00
10
11
00
00
00
10
10
10
01
00
00
10
11
00
00
01
10
01
10
00
01
10
00
00
01
11
10
01
00
00
11
10
10
00
00
00
10
10
00
11
00
10
10
10
10
00
01
01
10
01
00
10
11
00
01
10
11
10
10
10
00
00
10
10
11
00
01
00
11
00
00
10
10
10
10
00
10
10
00
01
00
00
11
01
11
11
00
11
00
00
11
10
00
00
11
11
00
10
01
11
11
10
00
00
01
00
00
10
10
00
01
01
00
00
11
11
11
11
10
00
00
10
10
01
00
11
11
00
10
10
11
11
10
10
01
00
00
11
10
00
10
01
10
00
00
11
10
10
11
10
00
11
10
00
00
00
10
00
10
10
01
01
11
10
00
11
10
10
10
10
00
00
00
01
00
01
00
10
10
10
10
10
10
00
01
00
01
00
00
00
10
01
11
00
00
00
10
10
10
01
00
10
10
10
10
00
10
01
00
00
10
10
10
11
11
01
10
10
01
00
10
00
01
10
01
10
10
10
01
00
00
10
10
11
01
11
10
10
10
00
01
10
01
00
10
10
00
10
11
11
01
01
10
01
00
00
00
01
11
10
11
01
10
11
10
00
10
10
10
00
00
10
00
00
01
10
11
00
00
10
10
00
01
10
10
00
10
10
00
00
01
00
11
00
01
10
00
01
01
00
10
10
00
00
00
11
11
00
01
11
10
11
01
10
00
01
10
11
00
01
00
10
10
00
10
10
01
00
00
00
00
11
00
00
10
00
10
11
00
00
00
10
10
01
01
11
10
00
01
00
10
10
01
00
01
00
01
00
10
01
01
10
10
00
00
00
10
11
10
01
00
01
01
11
10
10
00
00
00
01
10
11
10
10
00
10
11
01
00
01
10
01
00
10
10
00
00
10
00
01
10
10
01
10
10
00
10
10
01
00
11
00
10
10
00
00
01
00
11
10
11
11
11
00
10
00
10
01
00
00
10
01
01
10
10
00
01
10
10
10
00
00
10
10
11
11
00
00
10
10
00
10
01
10
10
00
00
10
01
00
10
11
11
10
01
00
00
10
11
10
11
00
00
10
00
11
00
01
11
00
00
00
10
10
10
00
00
10
00
00
11
10
00
11
10
01
10
01
10
00
10
11
10
00
01
00
11
00
10
00
10
11
11
10
01
00
01
11
00
11
10
00
00
10
01
11
10
00
10
10
11
10
00
00
10
10
10
00
00
01
10
10
00
00
01
01
00
10
00
10
00
10
11
11
11
00
11
00
00
00
11
01
00
10
10
00
00
11
01
00
11
11
00
10
00
00
10
11
01
10
11
00
01
10
00
11
11
10
01
00
10
00
00
10
10
11
00
10
10
00
10
01
01
00
10
10
11
01
00
11
10
00
10
00
10
00
00
10
00
10
01
10
10
10
10
10
00
00
00
10
00
01
00
10
01
11
00
11
11
00
01
00
11
10
11
00
11
10
00
11
10
10
10
00
00
00
10
11
10
10
10
10
11
10
00
00
01
00
00
10
11
00
01
10
01
01
10
00
01
00
11
11
10
10
00
00
01
10
00
00
10
11
01
11
10
11
10
00
00
01
10
10
11
00
00
10
01
00
00
00
10
11
10
11
00
00
11
10
00
10
00
01
11
10
10
00
01
01
10
11
01
01
11
00
00
00
10
11
00
00
10
10
00
10
00
00
10
00
11
11
10
11
01
11
10
01
00
10
11
01
01
10
10
10
00
00
11
00
01
10
00
00
10
00
00
10
11
00
01
10
11
11
00
00
01
01
11
01
00
01
10
01
00
00
00
10
10
10
10
00
01
10
10
01
10
10
11
10
11
00
10
10
10
00
10
11
01
00
00
10
11
11
00
01
10
00
10
11
01
10
10
01
01
00
00
10
11
01
00
10
11
01
10
01
11
11
00
00
00
10
10
00
10
11
10
11
00
10
10
11
00
01
10
01
00
11
10
01
10
00
00
10
11
10
11
00
11
11
00
10
10
00
00
00
11
10
10
00
10
10
10
00
11
10
01
10
00
10
01
01
11
00
00
00
10
00
01
10
10
10
10
00
11
11
01
10
11
00
00
00
10
11
00
01
10
00
00
01
01
00
11
10
00
00
11
00
10
10
01
00
01
00
00
10
11
01
01
00
10
10
01
11
10
00
01
11
00
10
11
11
01
11
10
01
10
00
10
11
00
00
10
00
11
11
00
11
00
00
00
00
11
11
10
00
00
10
00
00
11
10
00
00
10
00
00
11
00
10
00
11
00
11
10
01
10
10
00
10
01
00
10
10
11
01
11
01
11
10
01
10
00
10
00
00
10
10
10
10
01
00
10
11
11
00
10
00
10
10
00
00
10
01
00
00
01
01
11
00
10
00
10
11
10
10
01
00
10
11
10
00
00
01
01
10
00
00
00
00
00
11
11
00
00
10
10
00
11
00
01
01
00
10
10
01
10
00
00
11
11
01
01
11
11
01
00
00
00
10
10
10
00
00
00
01
10
01
10
00
00
10
01
00
00
10
00
11
01
11
00
01
00
11
01
00
10
10
00
00
00
11
01
01
10
10
10
10
10
11
00
10
01
01
10
10
10
00
00
10
01
01
11
10
10
11
00
00
10
10
10
00
00
00
10
10
01
11
01
10
10
10
10
00
01
01
10
11
00
10
11
11
11
10
00
01
10
10
00
10
10
00
01
01
10
10
10
00
00
10
00
11
00
11
10
00
00
11
10
01
00
00
10
10
11
10
00
01
10
10
01
01
00
10
10
01
00
10
10
10
00
00
00
00
00
11
01
00
11
10
10
00
10
11
01
10
10
11
10
10
10
11
01
11
10
01
11
11
10
01
00
10
00
00
11
10
00
11
10
00
10
10
00
00
10
00
00
10
01
10
00
01
10
00
11
10
00
10
01
00
11
10
10
00
11
10
01
00
11
10
10
01
00
01
11
11
00
11
11
00
11
10
00
00
00
11
01
11
10
01
11
10
00
10
10
00
00
01
00
00
10
00
00
11
00
01
00
11
10
10
10
00
11
11
00
01
00
10
10
00
10
00
01
10
00
00
10
00
00
10
10
01
00
11
10
00
01
10
11
10
00
01
10
01
10
10
01
00
00
11
10
00
10
10
10
00
10
00
10
11
00
10
00
10
11
01
00
10
11
00
10
00
10
01
00
00
00
11
00
10
10
00
00
10
00
10
00
00
00
11
10
01
01
10
11
10
10
10
01
01
11
11
01
11
10
11
10
00
01
10
10
00
00
10
00
11
00
00
10
10
00
00
00
01
00
11
11
00
01
10
00
10
10
10
10
01
00
01
00
11
11
10
10
00
01
10
00
01
10
01
10
10
00
10
00
10
10
00
00
11
01
00
10
00
00
00
00
01
11
10
00
00
10
11
11
00
01
00
11
10
00
00
10
00
11
11
01
11
11
00
00
11
00
00
00
11
10
11
00
01
01
10
10
01
10
10
00
10
10
10
00
00
11
10
00
00
10
10
01
10
10
00
00
01
01
00
10
10
00
10
00
00
00
10
10
01
11
00
01
01
00
10
10
11
00
10
10
00
01
11
00
01
10
10
00
11
00
01
00
10
11
10
10
10
11
00
00
00
11
00
01
01
10
10
00
00
11
11
10
11
10
10
00
00
00
10
00
00
11
10
01
10
10
10
10
00
11
11
10
01
00
00
00
00
10
01
00
11
01
11
01
00
10
01
10
01
11
00
00
01
01
10
11
10
00
11
10
10
11
10
00
10
10
10
10
00
00
10
10
00
11
01
00
01
10
10
10
00
00
10
11
10
10
00
00
00
00
00
00
10
10
00
00
10
00
10
10
10
10
00
01
10
00
10
11
10
11
11
11
11
00
01
00
00
10
10
10
01
01
01
10
11
00
10
10
01
00
00
11
00
11
11
01
10
00
10
10
01
00
00
11
11
00
10
00
10
11
10
01
11
10
10
01
00
00
11
10
10
00
00
11
01
10
00
01
01
01
01
01
11
10
10
00
00
01
01
10
11
10
01
11
10
00
00
10
10
11
11
01
10
10
01
11
11
00
00
11
00
01
00
10
10
10
00
00
10
10
10
10
00
10
10
10
00
10
01
00
00
01
11
11
11
10
00
01
10
00
01
10
11
10
11
11
00
01
10
10
00
00
10
10
01
00
11
10
00
01
10
10
10
10
00
00
10
10
10
00
10
11
00
00
10
00
10
10
00
01
01
10
10
10
00
00
00
11
10
01
10
01
00
00
11
10
11
00
00
10
10
00
01
10
10
10
00
10
10
00
00
00
10
01
00
00
10
10
10
10
11
01
00
11
00
00
11
00
11
10
01
00
00
01
10
11
00
11
00
10
01
01
11
11
00
00
11
01
01
10
10
00
00
10
01
01
10
11
10
00
01
11
00
00
10
10
11
00
11
10
00
00
11
00
00
10
11
00
01
10
00
10
00
00
00
11
10
01
00
01
00
10
11
11
01
00
00
10
00
10
11
01
00
10
10
10
10
10
00
00
11
10
00
00
10
10
00
01
10
01
00
00
00
10
01
01
00
10
10
01
10
10
10
00
10
01
10
11
10
00
01
10
10
10
11
11
10
00
00
00
10
01
00
01
00
10
10
10
10
00
10
10
10
00
10
10
10
00
10
10
00
00
10
10
10
11
00
00
00
10
00
00
00
10
10
00
01
01
10
10
10
01
10
00
00
10
11
10
00
00
01
11
00
00
10
10
10
10
10
10
00
10
10
11
11
00
00
10
11
10
10
00
00
00
11
01
10
10
11
11
01
11
01
01
10
10
10
01
01
10
01
01
00
11
00
00
10
01
01
10
10
01
11
00
10
11
10
10
10
00
11
10
00
11
10
00
11
10
00
10
11
00
10
00
01
00
10
11
10
11
00
00
10
11
00
01
10
10
00
01
00
01
10
10
01
10
11
10
10
00
10
00
00
01
10
11
10
01
00
10
10
01
00
11
00
01
01
00
10
10
10
01
00
01
00
11
11
00
00
10
00
00
11
10
10
11
01
10
11
01
11
00
00
10
10
10
10
01
00
00
10
00
10
00
00
10
10
00
01
00
11
10
01
00
10
00
00
10
10
10
11
10
00
00
00
00
00
00
00
11
11
01
00
00
00
10
10
10
10
00
00
10
00
11
00
10
11
10
00
10
10
10
00
00
10
11
00
11
00
11
10
00
01
10
10
00
00
10
10
00
00
10
00
00
10
11
01
01
10
10
00
10
01
10
10
00
01
00
01
00
00
10
10
00
01
00
10
00
00
00
10
01
01
01
00
11
01
00
00
11
10
00
00
01
01
01
10
10
00
10
10
00
01
10
11
01
10
10
00
00
10
00
01
00
00
11
10
00
11
10
00
10
10
01
00
11
00
10
10
00
10
10
11
01
01
00
11
01
11
10
00
00
10
01
10
10
11
10
10
10
00
10
00
00
01
01
11
00
10
10
00
01
01
10
11
10
11
11
01
01
10
10
00
10
01
00
11
01
01
11
01
10
11
10
00
10
11
00
00
10
00
01
11
10
11
11
00
10
01
01
10
10
00
01
10
10
01
10
10
00
00
00
01
00
10
11
11
00
00
11
11
10
10
00
01
01
00
10
00
10
01
10
11
11
10
00
10
00
01
10
00
10
01
11
11
10
00
11
10
10
10
01
01
11
10
11
10
00
01
01
10
10
10
01
11
01
01
11
10
10
00
11
10
00
00
00
11
00
01
10
00
00
10
00
10
01
00
01
10
10
10
11
10
01
00
11
10
10
11
10
00
00
10
11
01
00
00
00
00
01
00
01
00
11
00
10
10
00
10
00
11
10
00
10
00
01
00
11
10
10
00
01
10
10
00
01
01
11
10
01
00
10
11
10
11
00
00
11
01
00
01
11
10
01
00
11
00
00
10
01
11
00
01
00
00
00
01
10
10
01
01
10
00
11
10
10
01
00
01
10
10
11
01
00
00
10
10
11
00
01
10
10
00
00
10
10
00
11
00
00
00
11
10
10
01
10
00
10
10
10
00
10
10
01
10
00
00
00
01
01
10
11
10
01
00
10
11
00
11
10
10
01
10
01
01
11
00
00
10
10
11
11
00
10
11
10
01
10
11
01
10
11
11
10
10
11
00
00
10
01
01
11
00
10
01
00
11
10
00
01
10
00
01
01
01
10
11
10
10
00
00
11
11
01
00
01
01
10
10
00
10
00
00
00
01
10
11
10
00
00
10
00
11
11
01
01
11
01
00
10
11
11
10
10
00
01
10
10
10
00
10
11
10
00
01
10
00
11
10
01
10
10
10
00
10
10
11
01
11
10
00
11
00
01
11
10
11
00
00
10
10
00
00
10
10
00
00
00
01
10
10
01
11
11
10
00
00
11
10
01
10
11
00
10
11
01
11
01
10
10
10
10
00
11
00
00
00
10
00
10
10
01
11
00
11
11
10
11
00
00
11
10
00
11
10
00
11
10
00
00
11
10
00
00
10
00
00
11
10
11
00
10
01
10
01
00
00
10
10
11
00
00
01
00
00
10
00
10
00
00
10
10
11
00
11
11
10
11
10
10
10
00
00
11
10
00
10
11
11
00
01
11
00
00
00
10
11
01
01
11
10
10
00
00
00
01
11
10
00
10
10
01
10
11
11
01
00
00
10
00
00
01
11
10
11
10
10
11
10
00
00
00
11
00
01
11
10
10
10
10
01
00
10
11
11
01
10
01
01
00
00
10
01
10
10
00
10
01
00
10
00
11
10
00
11
01
11
11
10
00
00
00
11
11
10
00
00
10
00
01
00
11
00
01
10
10
11
01
00
10
00
00
01
10
10
10
00
11
01
10
00
01
01
11
10
00
11
11
00
00
00
10
11
00
00
10
10
00
10
00
10
00
00
10
10
00
11
01
00
10
10
00
10
11
00
01
00
10
10
00
11
10
10
00
00
00
10
10
00
00
10
10
10
11
00
11
01
01
01
11
11
01
11
11
00
00
11
10
10
00
10
10
00
00
10
10
01
00
10
01
00
10
00
10
10
11
01
10
11
01
01
10
00
01
11
01
10
11
00
10
00
10
11
00
00
10
11
00
11
00
10
00
00
11
10
10
00
10
11
10
10
11
00
01
10
01
00
11
10
10
00
01
11
11
10
00
00
01
10
10
00
10
10
00
01
01
01
10
10
00
00
11
11
10
01
11
11
11
10
00
11
10
00
00
10
10
01
01
10
11
00
00
10
11
00
00
11
11
10
00
10
10
10
00
10
00
00
00
00
11
00
11
10
11
00
00
00
01
10
10
01
10
00
00
10
00
01
00
10
00
00
10
00
00
00
11
00
00
11
00
01
10
10
00
00
11
11
00
00
00
11
00
11
10
10
00
00
11
11
00
01
00
10
10
00
00
10
10
01
10
10
10
00
10
00
01
00
01
10
01
10
10
00
00
10
11
00
00
10
10
11
10
00
00
11
10
00
00
00
00
00
01
10
10
00
10
10
10
01
10
00
10
11
00
11
01
01
10
11
00
00
10
10
01
10
10
00
00
01
00
11
11
11
11
00
01
00
11
10
00
00
10
00
00
01
10
11
01
10
11
10
00
00
00
10
00
00
11
11
01
10
00
10
00
01
00
10
10
11
01
10
01
00
00
01
00
10
10
10
00
10
11
00
11
11
10
00
10
00
00
00
11
10
10
10
00
00
10
11
11
00
00
01
01
00
00
11
10
10
10
01
00
10
10
00
10
10
10
10
01
01
00
10
00
01
01
00
10
11
00
00
10
10
00
01
00
11
10
10
10
10
00
11
01
00
11
01
11
11
11
10
00
00
10
10
10
01
01
01
11
10
01
01
10
00
10
01
00
10
11
10
00
01
10
00
10
11
00
10
10
10
11
11
00
01
00
10
01
10
00
10
00
00
11
00
00
10
00
11
10
00
10
10
01
10
00
00
00
10
00
00
00
11
10
10
11
01
00
10
10
00
00
00
10
10
01
01
00
10
10
10
11
10
00
00
01
01
00
10
10
11
10
01
01
10
11
11
00
01
00
10
10
00
01
01
10
00
01
00
10
01
01
11
10
00
00
00
10
00
10
10
10
01
10
10
00
10
10
10
00
11
11
00
01
00
10
10
00
10
00
01
10
11
11
01
00
10
00
10
11
10
10
00
10
10
10
00
01
00
10
11
11
10
01
10
10
00
01
10
01
10
10
00
01
00
11
00
10
00
10
10
10
00
00
00
00
10
10
00
11
00
00
10
00
00
00
11
11
00
01
11
11
00
11
01
11
10
00
00
10
11
00
00
10
10
10
11
11
00
00
00
01
10
10
10
10
10
01
11
00
00
10
11
01
00
10
00
10
11
10
00
00
10
10
00
10
11
11
00
10
10
11
10
10
01
10
00
10
01
00
11
00
00
10
00
00
11
00
01
00
10
00
10
01
01
00
11
10
01
10
00
10
10
00
01
00
10
01
11
00
01
11
10
00
01
10
10
00
00
00
10
11
10
01
00
00
10
00
10
00
00
10
00
01
00
10
11
10
00
00
00
00
01
10
10
01
11
11
00
01
10
00
10
00
01
11
10
10
00
10
10
11
10
00
10
11
11
00
01
10
00
10
10
00
00
00
10
01
00
01
01
11
00
00
01
10
00
00
00
10
10
11
10
10
00
01
10
11
11
00
10
01
11
01
10
10
01
00
11
11
10
00
00
10
10
00
00
01
11
00
01
00
10
11
11
00
01
00
11
01
10
00
11
01
00
00
11
10
00
10
00
11
00
00
10
10
00
10
00
00
10
10
00
10
10
00
11
00
10
00
10
10
11
10
00
10
10
00
00
01
01
11
11
01
11
10
11
00
10
00
01
10
00
00
00
00
10
10
10
10
10
10
10
00
10
00
01
00
01
11
11
11
00
01
10
01
00
00
10
10
10
00
00
01
11
10
10
10
01
00
10
10
11
10
00
11
01
00
01
10
11
00
10
01
00
00
11
11
00
00
00
10
00
01
11
10
00
10
01
11
10
01
01
00
10
11
00
00
11
11
11
10
01
00
01
01
10
11
01
10
11
00
01
00
01
01
10
11
10
00
00
10
11
10
10
00
00
00
00
00
00
00
00
11
10
00
11
01
00
10
10
10
10
10
10
10
10
00
01
11
00
10
01
00
00
11
10
00
10
10
10
11
00
10
10
11
10
11
01
00
11
00
00
10
00
10
11
00
01
10
01
10
00
11
10
11
10
01
00
11
10
01
10
11
01
00
10
11
10
01
10
11
10
00
11
10
01
00
00
10
10
10
11
01
00
00
00
10
10
11
10
01
00
00
00
11
11
10
01
00
11
11
10
10
10
00
10
00
00
00
00
10
00
00
11
10
01
11
11
00
11
10
01
11
00
00
00
01
10
00
00
11
10
00
00
00
01
00
10
11
10
11
10
00
01
10
10
11
00
00
01
00
11
01
01
00
01
10
10
01
00
10
10
00
00
00
00
11
00
10
10
00
10
11
10
10
10
01
00
10
10
00
10
11
11
00
10
11
11
00
11
10
10
01
11
10
11
00
00
10
11
00
11
10
01
01
10
01
10
10
11
01
00
10
10
00
00
00
01
11
10
01
10
10
00
10
11
00
00
10
00
00
00
10
00
00
10
10
00
00
00
11
10
00
00
01
00
00
10
00
01
00
10
01
01
10
10
10
10
10
11
00
11
11
00
10
10
10
10
11
00
10
00
00
10
11
11
10
10
00
00
11
10
10
00
00
01
00
10
01
10
10
00
11
11
10
01
00
10
10
00
11
11
00
01
10
01
00
11
11
11
01
10
10
01
00
10
00
11
10
00
11
00
00
00
11
11
00
11
10
01
01
10
10
11
00
00
11
11
00
11
10
01
10
00
10
10
10
00
11
10
10
00
10
10
01
00
00
10
10
00
11
00
11
00
01
10
11
10
11
01
00
01
00
10
10
11
00
00
11
00
01
10
10
10
00
01
01
00
00
00
10
11
00
10
00
10
11
00
00
10
00
01
10
01
00
10
01
10
10
10
10
01
00
00
10
11
01
00
00
10
00
01
00
10
01
00
01
10
10
10
01
00
10
11
10
01
11
10
00
10
10
00
00
11
01
00
00
00
00
11
10
11
00
10
10
11
01
00
00
01
01
10
00
10
11
10
00
00
10
00
00
11
10
00
10
10
01
00
00
01
10
10
11
01
10
00
01
01
10
10
11
01
00
11
10
10
00
01
10
11
11
00
00
00
00
00
00
10
10
10
00
01
01
11
10
01
00
01
00
10
10
10
00
11
01
01
10
01
10
10
10
00
00
10
00
11
01
01
01
11
10
01
11
01
00
00
11
10
10
00
00
11
01
10
10
10
10
11
00
00
11
11
01
10
11
10
11
10
10
00
00
11
01
01
11
00
01
10
11
00
00
10
11
00
11
11
01
10
10
10
00
01
10
10
00
10
11
10
00
01
11
11
10
00
01
10
10
10
01
01
10
11
10
10
00
01
00
10
00
00
00
10
00
00
01
10
10
00
00
10
00
00
10
11
00
00
10
11
00
00
11
00
11
10
10
01
00
00
10
10
00
00
00
01
10
10
01
10
11
01
10
10
10
11
10
01
00
10
10
00
11
10
10
10
00
00
10
00
00
10
01
10
10
00
01
00
10
10
11
10
01
11
00
10
10
00
01
00
10
11
01
10
01
00
10
11
00
10
00
01
11
10
10
01
00
10
11
01
00
10
10
00
11
10
01
00
10
10
10
00
10
00
00
11
00
11
10
01
10
01
11
01
11
00
00
10
10
00
10
10
00
00
00
11
10
01
00
10
00
10
01
01
00
10
10
00
10
11
10
00
10
10
01
01
01
01
00
10
11
01
00
10
10
10
01
01
10
10
10
00
00
00
10
00
10
10
11
10
10
00
00
01
00
10
11
10
00
01
00
00
00
10
01
10
00
11
10
00
10
00
00
00
10
10
00
10
00
00
11
11
11
11
10
00
11
00
01
00
10
10
11
10
00
10
10
01
10
10
00
10
10
01
10
10
00
11
10
00
10
01
10
00
10
10
00
00
11
01
00
11
00
10
00
01
00
00
10
11
10
10
10
10
01
10
10
00
11
00
01
01
11
10
00
11
11
01
01
10
00
00
11
00
11
00
11
10
01
01
11
01
01
10
10
00
00
00
00
10
01
00
10
10
01
10
10
10
10
01
00
00
10
11
10
00
10
11
00
00
00
01
10
10
00
01
11
10
10
01
00
11
00
00
10
00
10
01
11
10
00
01
00
10
00
11
00
11
10
01
11
11
01
10
01
10
00
00
10
10
10
01
00
10
00
10
10
10
10
10
10
10
01
00
01
10
10
01
10
10
00
10
10
11
00
11
01
00
00
00
00
01
00
00
11
10
01
00
10
10
01
11
00
10
00
00
11
00
10
11
00
01
10
01
00
11
10
00
00
10
00
00
11
10
10
11
10
00
10
00
00
10
10
10
00
11
10
10
01
10
00
10
00
10
01
00
01
11
11
00
10
00
00
11
10
01
01
10
10
00
01
10
11
10
00
11
11
00
01
00
01
00
00
10
11
11
00
01
11
01
00
00
11
00
00
10
01
01
11
10
01
10
01
00
00
10
01
11
10
10
10
01
10
11
01
00
10
11
00
11
01
01
11
00
00
10
10
01
11
00
00
10
00
11
10
10
00
10
10
00
10
01
01
10
10
00
01
11
00
00
10
11
11
00
10
10
00
01
01
00
01
10
00
00
00
10
10
11
10
00
00
01
10
10
10
10
01
00
00
10
10
00
10
11
01
00
01
00
00
10
10
10
10
10
00
01
01
00
10
10
00
00
10
01
00
10
01
10
11
10
10
01
00
01
10
10
00
10
00
00
01
00
01
00
10
01
10
10
01
10
00
10
11
00
10
00
10
10
10
00
00
10
00
01
10
10
01
00
00
10
00
01
11
10
00
00
10
01
00
01
00
00
00
00
10
10
00
00
01
10
10
01
01
10
11
10
00
00
10
01
00
00
10
10
00
01
00
00
00
00
11
00
00
10
10
11
01
01
01
10
10
00
10
00
10
11
10
00
01
00
11
01
01
11
01
00
01
10
01
10
10
01
00
11
10
10
01
01
11
01
10
10
10
00
10
11
01
10
00
00
01
10
00
00
10
10
00
00
10
10
11
00
11
10
00
01
00
00
11
10
00
10
00
00
01
10
10
00
11
10
10
00
00
11
11
01
00
01
00
11
00
01
10
11
00
01
01
11
10
01
10
11
01
10
10
00
00
10
00
00
10
10
00
11
11
11
10
10
01
01
10
00
10
01
11
10
01
10
10
10
10
10
10
01
00
00
00
10
01
00
11
11
00
00
10
10
01
00
11
10
00
00
10
00
00
10
10
00
10
10
10
11
11
00
00
10
11
01
00
11
01
01
00
00
11
10
10
00
10
00
00
11
00
00
10
10
11
10
01
10
00
10
10
10
01
00
11
10
11
00
01
00
01
10
10
11
10
10
01
00
10
00
00
10
00
00
10
11
10
01
00
11
00
11
01
11
01
01
10
01
11
11
10
00
00
10
10
00
00
00
00
10
10
10
00
10
11
10
01
00
11
00
01
00
10
00
00
10
10
01
01
10
11
10
01
10
11
11
01
01
10
00
01
00
10
11
11
11
10
00
10
00
00
00
00
10
11
11
01
00
10
00
10
10
00
10
10
01
00
10
00
11
10
10
10
00
01
11
00
01
00
10
10
00
11
10
10
01
10
10
01
10
01
00
01
00
10
00
00
11
11
10
11
01
10
10
01
00
00
11
10
01
10
10
11
00
10
01
10
00
00
01
00
01
00
10
01
00
10
01
10
01
10
11
00
10
00
01
01
11
10
10
10
10
10
00
00
10
11
01
11
00
11
11
01
00
00
10
01
11
11
10
01
10
00
10
00
00
00
00
10
10
11
00
00
00
01
01
11
00
00
10
10
10
00
11
11
01
00
10
11
00
10
00
01
10
00
00
01
01
10
01
10
01
00
10
00
00
10
01
10
10
10
10
00
01
01
01
10
00
00
01
11
00
01
10
11
10
00
11
01
01
11
10
01
00
00
00
10
10
10
00
01
10
11
00
00
00
00
01
01
10
10
01
10
11
10
00
00
01
00
10
10
10
00
00
10
10
10
01
10
10
10
00
10
00
10
11
01
01
10
11
00
10
11
10
01
01
11
10
01
11
01
00
00
00
11
10
00
11
11
11
01
01
00
11
11
01
10
10
00
01
10
11
00
10
01
10
00
11
10
11
01
10
10
01
00
10
00
00
01
10
10
10
10
00
00
10
10
00
11
11
10
00
01
00
00
00
00
11
10
10
10
11
00
11
11
01
00
11
10
11
11
01
10
01
10
10
00
00
10
10
01
00
11
11
11
11
00
10
10
10
00
10
11
00
00
00
00
00
00
00
10
00
00
11
11
10
10
10
10
10
00
00
00
10
10
11
11
11
01
11
01
10
01
01
11
01
11
10
10
00
10
10
10
00
00
01
01
10
00
10
10
10
00
00
10
00
00
00
10
10
10
00
10
11
01
00
00
10
10
00
00
10
01
01
10
00
10
10
00
00
10
10
01
00
01
00
10
10
11
01
11
10
01
00
11
00
00
11
10
10
10
01
11
11
01
00
01
10
01
10
00
00
01
00
10
10
00
00
01
10
01
00
01
01
10
10
10
00
11
10
01
10
10
00
00
10
00
01
10
01
10
01
00
01
11
10
00
01
10
00
00
11
10
10
10
01
00
11
00
01
00
11
01
00
11
10
00
10
10
10
00
10
11
11
11
00
00
01
00
00
10
01
10
00
10
10
00
01
01
10
00
00
10
10
10
10
00
10
10
10
00
00
11
01
01
10
00
10
11
11
10
01
00
01
11
01
11
10
11
00
10
01
00
11
00
10
10
11
00
11
10
00
10
10
10
00
01
11
10
00
10
00
10
00
10
11
10
10
11
10
10
10
01
01
10
10
00
00
10
01
00
10
10
01
00
11
00
10
11
01
01
10
11
00
00
01
00
11
00
00
10
01
10
10
11
11
10
01
10
01
10
01
10
10
10
01
11
10
10
10
10
00
00
00
11
00
01
10
00
10
01
10
11
10
01
01
11
01
11
10
00
00
10
01
00
00
10
10
00
11
00
10
00
01
00
00
10
10
10
00
10
11
01
00
11
10
00
00
00
00
10
10
10
00
10
10
11
00
00
00
10
11
10
10
01
00
10
10
00
10
00
00
11
10
00
11
00
11
00
10
00
00
00
01
00
00
10
11
00
10
00
11
00
10
11
00
11
10
00
00
00
10
10
00
01
00
10
11
10
01
01
00
10
01
01
11
00
01
00
00
11
00
10
00
00
00
10
00
01
10
00
01
01
00
01
11
10
00
00
01
01
00
10
11
00
10
10
01
00
00
11
01
10
00
11
11
11
01
00
10
01
01
00
00
10
10
10
00
10
11
11
10
10
01
10
01
10
10
11
11
00
01
00
10
00
01
10
00
00
10
11
00
00
10
11
01
11
11
10
00
01
10
00
01
10
11
11
10
00
00
01
01
00
11
00
10
00
10
00
11
10
00
10
00
00
00
00
10
00
01
10
11
10
00
00
10
10
01
00
10
00
00
00
00
10
00
00
10
10
10
01
10
01
11
11
00
01
10
10
00
01
11
01
00
10
00
00
11
11
10
00
00
11
10
10
10
00
00
10
11
11
11
00
10
11
11
10
01
10
11
11
01
00
10
10
11
10
10
00
01
11
10
10
11
01
00
10
00
10
00
10
11
01
00
00
01
00
10
00
00
10
10
10
00
00
10
10
10
01
00
00
00
10
11
00
10
01
00
11
00
10
10
10
01
01
10
10
01
11
00
00
10
11
00
01
01
10
11
10
10
00
00
11
01
10
10
00
00
01
10
01
10
10
11
11
00
00
11
10
00
11
00
10
00
10
00
01
11
10
11
00
10
11
10
01
00
11
10
01
11
10
10
01
10
10
10
01
10
10
01
00
10
00
10
10
11
00
00
11
10
10
11
10
01
01
00
10
10
00
10
10
00
10
00
00
11
11
00
00
10
11
00
10
01
10
00
00
10
00
01
10
10
10
00
11
00
11
10
11
10
00
00
11
00
01
10
00
10
10
11
10
10
11
00
00
10
11
10
10
00
01
10
11
00
00
01
00
10
00
10
10
10
01
11
10
11
10
00
00
10
00
00
10
11
10
11
01
00
01
11
00
11
10
11
01
00
10
10
00
10
11
00
01
10
11
01
01
00
10
01
10
01
00
10
00
00
00
10
00
10
00
01
01
00
11
01
00
10
10
11
00
10
11
00
00
10
00
11
00
10
00
00
10
01
11
11
00
01
01
11
01
10
00
10
00
00
10
00
01
00
00
11
10
10
11
01
01
10
00
10
10
10
01
11
00
00
11
11
11
10
00
00
00
10
00
00
11
10
01
10
10
10
01
00
10
00
10
00
00
11
01
10
10
00
00
10
01
10
00
11
01
01
11
11
10
11
10
10
01
10
10
00
11
01
01
11
11
00
10
00
01
10
10
01
00
00
11
11
11
00
00
10
10
11
01
01
01
11
00
10
10
00
10
10
00
00
10
01
01
11
01
00
00
11
01
00
10
00
01
10
10
00
01
00
00
10
00
10
10
11
10
00
01
11
10
00
10
11
10
00
00
11
10
00
00
00
00
00
10
11
11
01
11
10
01
10
00
00
11
00
01
00
11
11
10
10
00
00
00
00
11
11
00
11
11
11
00
00
10
10
10
01
10
10
00
10
01
00
00
10
00
00
11
11
01
10
10
00
10
10
00
00
10
10
00
10
10
10
10
00
00
00
10
11
10
10
10
10
00
10
10
01
10
10
10
11
10
00
00
00
01
10
11
00
10
00
11
10
00
00
00
01
00
10
11
10
00
10
11
00
00
10
00
10
00
11
10
01
00
00
01
10
00
00
10
10
10
10
00
00
10
11
10
01
10
11
10
10
00
10
11
00
10
01
00
10
10
00
10
11
00
00
00
11
10
10
01
00
00
10
10
00
00
01
11
10
01
10
00
10
00
10
01
11
10
01
00
00
11
01
10
10
00
01
10
10
00
01
00
11
11
11
10
11
10
11
01
00
01
00
00
10
11
00
01
00
11
10
11
10
01
10
01
00
10
10
00
10
01
01
00
01
00
00
10
11
00
01
10
00
10
10
11
10
00
10
00
10
10
10
11
11
10
00
11
00
01
11
10
10
00
00
01
00
11
01
00
10
11
01
01
10
10
11
10
11
01
11
11
00
00
01
00
00
10
11
00
11
00
00
10
10
00
11
10
10
10
01
10
00
01
10
00
00
00
10
01
10
11
00
01
01
00
00
10
11
00
00
10
11
11
00
01
01
11
11
00
00
11
00
00
00
11
01
10
00
11
11
01
01
10
00
00
10
10
00
00
11
10
10
10
11
10
10
10
01
10
10
10
01
10
11
10
00
00
00
00
10
00
10
01
10
01
00
11
01
00
00
10
00
01
10
00
00
10
00
00
00
10
00
10
01
00
00
11
00
00
10
01
00
10
00
10
11
11
01
00
01
00
10
00
00
00
10
11
00
10
11
00
00
01
00
11
11
01
10
01
10
11
10
00
00
00
10
11
00
11
00
10
10
10
11
01
10
10
10
10
00
01
10
01
11
11
11
01
10
00
10
10
10
01
10
10
00
00
00
00
10
10
00
00
10
11
01
10
11
11
10
00
10
01
10
00
10
10
10
00
01
11
10
10
10
00
10
10
01
10
00
11
00
10
10
00
10
00
10
11
01
00
10
00
00
01
10
10
00
10
11
10
11
11
01
01
01
11
01
10
00
01
00
10
11
00
01
10
11
10
00
01
10
00
00
01
10
11
01
00
11
01
10
10
00
00
11
11
00
11
10
00
11
01
00
11
10
01
11
10
01
10
10
01
01
10
10
00
11
10
01
01
00
11
10
00
01
00
11
10
10
11
01
00
00
00
00
11
00
01
00
11
00
00
00
00
10
10
11
01
10
10
10
11
10
10
10
01
10
10
10
10
00
01
01
11
00
00
10
00
00
00
10
01
00
01
00
11
00
10
10
11
10
10
00
10
00
11
00
00
00
10
10
00
11
00
01
11
10
11
11
10
00
00
10
10
11
11
10
10
00
00
10
10
00
11
10
10
10
00
00
10
10
00
01
10
10
00
10
00
01
10
10
10
01
00
10
11
01
00
11
10
10
00
11
11
00
01
10
11
11
00
00
11
00
10
00
00
00
00
01
01
00
11
11
10
10
10
00
10
11
00
00
10
10
10
00
01
11
11
10
00
10
01
00
00
00
01
11
11
00
11
00
00
10
01
01
11
11
00
10
10
11
11
10
00
01
00
10
11
10
00
11
11
11
10
00
00
01
01
11
10
00
11
10
00
11
11
01
10
10
00
00
01
10
01
00
11
10
11
10
00
00
11
11
10
10
01
10
11
00
00
11
10
01
10
00
00
00
10
10
01
00
00
11
10
10
01
10
00
11
11
10
00
10
10
01
01
01
00
10
10
00
00
10
11
00
00
00
01
01
01
10
10
00
00
11
11
00
00
00
11
00
00
10
10
10
00
00
01
10
10
00
01
10
10
10
00
10
10
11
00
01
00
00
00
11
01
10
01
11
10
10
00
01
00
10
10
00
10
11
11
10
00
00
10
00
00
10
11
10
11
00
01
00
10
10
11
01
01
01
10
00
11
00
00
00
11
01
01
11
10
10
00
00
00
10
10
01
10
00
01
10
00
01
01
10
00
01
00
11
10
10
00
01
00
01
10
11
01
00
00
00
01
10
00
01
10
00
00
11
10
11
01
10
11
00
00
10
10
01
01
10
10
00
10
01
00
10
10
10
00
00
00
10
00
11
00
00
10
00
00
01
00
10
00
10
01
00
11
00
00
01
00
10
10
10
00
00
00
00
10
01
01
00
11
00
10
00
10
11
00
00
11
01
11
10
00
01
11
10
00
00
10
10
01
10
10
00
11
01
10
01
00
00
00
10
01
01
01
11
11
01
10
11
11
01
01
11
10
10
10
01
00
00
10
10
10
01
10
01
00
00
00
10
10
00
01
10
01
00
10
00
10
10
11
01
00
10
11
00
11
00
00
01
00
10
10
11
00
00
00
01
10
10
10
11
00
10
10
00
11
10
01
10
10
00
00
00
10
00
01
11
00
10
00
10
00
00
10
00
11
10
10
00
00
10
00
00
10
10
00
01
10
01
00
00
10
10
00
11
00
00
00
10
11
10
00
00
00
11
10
00
10
10
01
10
11
00
10
00
00
11
10
00
10
11
11
10
10
01
01
11
11
10
00
00
10
00
10
11
00
11
00
10
11
10
10
10
10
00
10
10
01
00
00
00
01
11
00
00
10
00
01
10
00
10
00
00
10
10
01
10
10
10
11
10
00
10
11
11
01
10
00
00
11
01
01
00
10
00
11
11
01
11
10
01
01
10
11
10
11
01
10
11
00
00
10
10
00
01
01
11
01
00
10
10
00
10
11
10
11
00
00
00
00
00
01
00
11
01
01
00
00
10
11
11
01
10
01
00
11
11
10
00
11
01
00
00
00
10
10
10
01
11
00
00
01
10
10
00
10
11
01
00
01
10
01
00
00
00
10
10
00
00
10
00
10
10
00
11
10
00
10
11
10
01
11
11
00
00
10
00
01
00
11
10
01
10
00
00
10
10
01
11
01
11
11
10
10
00
10
00
00
10
00
00
11
10
10
01
00
11
10
10
01
00
00
00
00
10
00
11
10
10
10
00
10
00
10
00
10
01
11
00
01
00
01
10
00
00
00
11
10
01
00
10
10
00
11
11
01
10
10
00
01
10
00
11
11
01
10
10
00
01
10
00
11
11
11
10
01
11
11
00
00
10
10
00
00
00
10
10
00
00
11
10
10
10
00
10
10
11
11
11
01
00
00
00
11
00
11
10
00
00
00
00
10
10
00
10
10
00
01
00
10
01
01
11
11
00
00
10
10
10
00
00
11
11
11
11
00
00
00
01
10
10
00
01
00
01
10
10
11
00
11
01
00
11
01
11
11
00
00
10
00
01
10
01
10
00
10
01
10
10
10
00
10
10
00
01
10
11
10
01
10
11
10
10
00
00
10
10
11
01
10
11
10
10
01
00
10
01
00
10
10
10
01
11
10
00
00
01
01
11
11
00
10
11
01
00
11
00
00
00
11
00
00
10
10
10
10
01
00
00
11
10
10
10
10
01
00
10
01
01
10
00
10
11
10
00
00
00
00
10
11
10
00
00
01
00
10
00
10
10
10
10
01
00
11
00
00
00
00
10
10
00
00
10
00
10
00
01
10
01
00
01
00
11
00
00
00
00
00
10
10
00
10
11
10
11
00
10
11
01
00
11
00
01
00
10
10
00
01
11
10
00
00
01
10
00
10
00
00
11
01
10
10
00
11
00
01
10
10
00
00
10
10
01
01
00
00
00
10
00
11
01
11
10
00
10
10
00
00
00
11
10
10
10
10
01
10
00
01
00
11
11
00
00
10
10
00
10
10
00
00
01
11
01
10
11
00
01
11
10
10
00
00
11
00
00
00
11
11
00
10
01
00
10
00
00
00
00
10
10
01
01
10
01
11
11
10
01
11
10
10
00
11
00
10
10
00
01
10
11
00
00
00
01
11
10
10
01
11
00
11
10
01
00
11
10
01
11
10
10
01
00
10
00
10
10
10
00
00
00
10
10
00
10
00
11
10
00
11
00
11
00
01
10
00
10
11
10
00
10
00
00
10
00
10
11
01
10
10
01
01
10
11
00
10
10
00
00
10
11
00
11
10
00
10
11
11
10
01
10
10
00
01
00
11
10
00
11
10
10
00
10
11
10
00
10
10
01
01
00
10
10
11
00
00
10
00
01
11
11
01
10
01
00
10
10
00
10
10
01
11
01
00
00
11
00
01
10
10
00
01
10
11
00
11
10
01
00
00
11
10
00
00
00
00
00
10
11
01
10
10
01
11
10
10
00
00
00
10
10
01
00
11
01
10
10
10
10
11
11
01
00
11
00
00
00
00
10
10
00
00
10
10
00
10
01
10
01
10
10
00
00
00
11
11
01
00
10
00
10
00
10
00
00
00
00
00
10
11
00
00
10
10
10
10
00
11
00
00
00
01
10
00
01
10
01
10
00
01
00
10
00
01
10
00
11
10
00
10
00
00
01
01
10
10
01
00
01
00
10
11
01
01
10
10
00
10
01
10
11
01
10
01
10
11
00
10
10
01
11
11
10
00
10
10
11
10
00
00
00
11
00
00
11
10
11
10
00
11
10
00
00
11
10
00
01
10
00
01
11
11
11
00
10
10
10
00
10
10
01
01
00
11
10
01
10
01
10
11
01
01
00
00
01
00
10
10
00
11
00
01
10
01
11
10
10
11
10
10
10
01
10
11
10
01
00
11
00
01
00
11
10
00
01
11
10
00
00
11
11
00
00
00
11
11
01
10
00
00
10
00
00
10
11
10
11
10
00
11
01
11
11
11
01
11
00
10
01
01
00
00
10
11
10
00
01
00
10
11
11
00
10
10
00
11
01
00
10
10
00
11
00
00
11
10
00
00
10
10
00
11
10
00
00
00
00
01
00
01
01
10
10
10
10
10
01
00
11
10
10
00
11
00
00
00
01
01
10
10
11
01
00
00
10
11
00
11
00
00
10
00
01
00
11
11
10
10
10
00
10
10
01
10
10
11
00
00
10
00
00
10
01
00
01
10
10
10
00
00
10
01
00
11
10
11
00
01
11
00
10
10
01
11
10
01
11
00
01
11
11
00
11
10
00
00
10
11
00
10
10
00
00
10
00
00
00
00
10
00
00
10
00
01
10
10
10
10
10
10
00
10
01
00
01
01
00
10
10
01
01
10
11
00
10
10
00
10
11
00
10
11
01
00
01
10
00
10
10
01
10
10
10
01
00
11
10
00
10
10
00
10
00
11
00
11
10
01
00
10
00
00
10
11
10
01
01
10
11
11
00
11
00
01
10
11
00
10
10
01
01
10
11
00
10
10
00
00
00
10
10
00
00
11
00
00
11
00
10
01
00
11
00
01
00
11
00
10
11
00
10
10
00
11
10
01
11
00
00
11
11
10
00
00
00
00
10
10
10
00
00
00
00
00
10
10
10
00
11
10
00
10
10
11
00
10
00
11
10
00
10
10
00
10
00
01
10
11
11
11
00
11
00
00
10
10
00
00
00
01
10
11
00
10
10
10
00
10
10
00
00
10
00
00
00
01
00
00
00
01
10
11
00
00
11
11
01
11
10
00
00
00
10
10
10
00
01
11
10
00
10
11
00
10
10
00
00
00
10
10
10
01
00
00
11
11
10
01
11
10
00
11
11
00
10
00
00
10
01
00
10
11
10
00
01
01
00
01
10
10
11
00
00
00
01
11
00
11
10
10
01
01
10
00
00
10
11
11
00
00
10
11
11
00
01
00
10
10
10
00
00
10
11
10
00
01
01
11
00
01
10
10
00
00
11
10
00
10
11
10
00
10
01
10
11
00
00
11
00
00
10
01
10
00
00
10
00
00
10
00
10
00
00
01
00
01
10
00
00
00
10
10
10
01
01
10
00
00
10
11
00
10
11
00
00
11
01
00
10
11
10
00
11
01
01
11
01
00
00
00
11
10
01
01
11
10
10
10
00
10
11
00
00
11
10
01
00
11
10
11
00
00
11
11
11
01
01
10
00
00
10
00
00
11
11
10
00
10
00
01
00
00
10
10
10
00
00
00
01
11
10
00
00
11
10
10
00
00
10
10
00
00
11
10
11
10
00
01
10
10
00
00
11
00
00
10
00
00
10
00
01
00
10
10
10
00
11
01
00
00
10
00
11
00
00
10
10
11
00
01
10
01
11
00
00
00
00
10
00
10
00
00
11
01
01
10
11
11
00
11
11
00
01
00
11
00
11
00
10
10
00
00
11
10
00
01
01
10
00
00
11
11
11
10
10
00
10
10
00
11
10
01
11
00
00
10
00
00
10
00
10
10
10
00
10
10
11
11
10
01
10
00
01
00
10
11
01
11
01
01
11
10
00
00
01
11
00
11
11
01
00
10
10
00
01
10
10
00
01
10
01
00
00
11
10
00
10
00
00
11
00
11
00
00
00
00
10
10
01
00
01
11
11
00
00
10
00
11
10
00
00
10
10
10
00
11
00
00
11
10
10
11
01
00
00
01
00
10
10
10
10
00
00
10
01
00
01
00
00
01
11
01
00
01
10
00
10
10
00
01
00
10
10
00
10
11
00
10
11
01
00
01
01
00
00
10
11
10
11
00
10
10
00
10
11
11
01
00
11
01
11
00
10
01
00
10
11
01
01
10
10
10
11
00
10
10
01
10
11
00
00
00
01
01
00
00
10
10
00
01
00
10
00
00
10
10
00
00
10
10
10
10
01
10
01
10
11
00
10
00
10
10
00
10
10
00
10
00
00
10
10
11
00
10
10
01
01
10
11
01
00
10
00
00
11
01
00
00
10
10
01
11
00
11
01
00
10
00
11
10
00
00
01
00
11
00
10
00
10
11
00
00
10
10
00
11
10
10
01
11
00
01
00
11
00
00
00
11
00
00
00
00
10
00
10
11
01
01
00
00
10
11
11
01
00
11
00
00
00
10
10
01
10
10
10
01
10
10
10
00
00
11
10
00
01
10
10
01
00
00
11
10
11
10
01
11
10
11
11
10
01
00
11
10
11
00
01
01
11
10
00
00
10
00
00
10
10
01
00
10
00
00
01
00
00
10
00
10
00
11
10
10
00
11
11
10
11
00
10
11
01
00
00
00
11
10
10
10
10
01
11
00
01
00
00
11
10
01
00
00
10
10
11
11
00
01
11
01
11
10
00
00
00
11
00
10
10
00
10
11
11
00
00
01
01
10
11
01
00
00
00
11
10
10
00
10
11
00
11
00
11
00
10
01
10
10
00
00
11
11
01
00
10
01
10
00
01
00
10
00
11
00
11
10
00
10
10
00
00
00
10
00
10
00
10
11
01
10
00
00
00
10
00
10
00
01
00
01
00
11
10
00
11
00
01
10
10
10
10
00
00
11
11
10
01
00
00
10
00
00
10
00
00
10
11
00
11
10
00
11
11
01
11
00
01
00
00
00
00
11
10
00
10
10
00
10
10
00
01
11
00
10
00
10
11
10
01
10
11
01
00
00
10
10
00
01
00
01
10
10
00
10
10
10
11
00
10
00
10
00
11
01
01
00
00
11
01
01
10
10
00
11
10
00
11
10
10
10
10
01
10
11
10
00
00
10
00
01
11
10
11
10
00
10
01
10
10
01
00
00
00
01
00
00
10
11
00
00
10
10
11
00
10
10
10
10
11
00
01
00
01
01
10
01
00
11
11
10
01
00
00
11
00
10
00
00
11
10
10
00
11
10
10
10
10
01
00
11
10
01
10
01
01
01
11
01
00
11
11
11
10
00
00
00
11
11
10
01
10
11
00
00
10
00
10
11
01
00
10
10
00
11
00
11
00
00
00
10
10
10
01
00
10
00
00
01
10
00
10
01
00
11
01
00
11
11
00
10
11
00
10
11
01
10
10
11
00
01
01
11
10
11
00
10
11
00
00
10
11
01
10
10
10
00
00
00
11
00
10
01
10
11
00
00
10
00
00
00
10
11
10
00
00
00
01
11
11
01
01
11
01
10
00
00
10
10
00
01
11
10
10
10
10
00
00
10
10
11
00
00
11
01
11
00
01
11
10
00
11
10
11
10
01
00
10
01
00
00
10
00
10
01
00
10
10
10
11
10
10
01
10
10
11
01
00
10
10
11
10
00
00
10
10
11
11
00
11
10
01
10
00
10
11
10
10
00
01
10
10
11
11
00
10
00
10
01
01
10
01
00
10
10
00
10
00
11
11
00
10
00
01
01
01
11
00
01
10
10
00
01
10
10
00
10
00
10
00
01
10
11
00
10
00
00
10
10
01
00
00
10
00
10
00
00
10
01
00
10
11
00
00
11
00
11
10
00
00
11
11
10
10
00
01
11
10
00
00
00
10
01
11
10
10
01
10
10
10
11
10
00
10
01
01
00
10
10
10
10
01
10
00
00
10
10
00
10
10
00
11
10
10
10
00
11
10
01
01
01
11
01
00
10
11
11
11
00
00
10
10
00
01
10
01
11
11
01
10
00
01
11
10
00
00
10
10
11
00
10
00
00
10
10
10
00
00
11
10
00
11
11
01
00
01
10
11
00
00
00
00
11
10
11
00
01
00
00
01
11
11
00
01
10
00
10
00
00
11
10
11
10
00
00
00
00
10
10
10
10
10
00
00
10
00
11
00
00
00
10
10
01
00
01
01
11
11
01
00
01
10
10
00
01
00
11
10
00
11
10
11
10
00
00
00
10
10
10
10
01
00
01
10
01
10
11
10
01
10
00
10
11
01
01
10
11
10
00
11
00
11
11
00
01
00
10
10
00
11
10
11
01
00
00
11
00
10
10
01
10
10
00
01
00
10
11
01
00
00
10
10
10
01
10
01
00
10
01
10
10
10
01
01
01
00
00
10
10
00
10
11
10
01
00
00
00
10
01
00
00
00
10
10
10
10
10
10
10
01
11
10
01
10
11
10
10
01
00
01
00
01
10
10
10
10
01
11
00
00
00
11
10
10
00
11
00
01
01
00
11
10
00
10
00
10
10
00
00
11
10
10
00
01
11
10
11
01
00
01
00
00
10
00
00
10
00
00
00
11
10
10
00
11
00
11
00
10
10
10
10
01
00
10
00
11
11
01
00
01
01
00
10
01
11
10
11
10
00
10
01
01
00
11
10
00
00
00
10
00
01
10
01
00
00
11
01
01
11
00
11
00
00
10
10
01
11
10
00
00
00
00
10
01
01
01
00
10
10
00
01
10
01
00
11
01
00
00
10
00
00
01
11
11
10
00
10
00
01
01
11
01
01
00
00
01
10
10
11
00
01
10
10
10
10
00
00
11
10
11
01
11
01
10
01
01
10
11
10
10
10
10
01
00
01
01
11
00
10
01
00
10
10
11
00
00
11
01
10
11
01
00
01
10
11
10
11
01
01
10
10
11
01
00
11
10
00
11
00
00
10
10
00
10
01
01
11
10
00
00
01
11
10
00
00
11
01
00
11
10
10
10
00
00
00
00
11
11
00
10
00
10
10
00
10
01
00
00
01
01
11
11
00
00
00
11
11
10
00
00
10
11
00
01
11
00
11
01
00
00
10
10
00
01
10
11
00
00
01
11
10
11
11
00
10
10
00
00
00
10
10
01
01
10
01
10
00
10
10
00
10
00
00
01
00
10
10
11
10
11
10
10
00
01
11
10
11
10
10
10
01
01
00
11
10
10
10
10
00
01
01
10
11
10
00
11
01
00
11
10
00
10
10
10
00
10
10
00
10
10
00
10
10
10
11
00
00
00
11
01
00
00
10
00
00
10
00
01
00
10
10
01
10
10
00
00
10
00
00
10
01
10
00
00
10
01
10
00
10
00
01
00
01
00
10
10
11
01
10
10
00
00
10
11
10
00
11
10
00
00
10
10
00
01
11
10
10
10
01
10
11
01
00
11
10
00
00
00
11
01
10
10
01
00
00
00
11
10
10
00
00
01
00
01
01
00
01
00
10
11
00
01
11
10
00
01
10
11
01
00
10
00
00
10
10
00
10
01
00
11
00
01
00
00
11
10
00
00
00
10
10
11
01
01
11
01
10
00
10
11
01
00
10
10
10
01
10
01
10
10
11
10
10
00
00
10
01
10
00
10
10
00
00
10
10
00
10
10
00
00
10
10
10
00
00
10
00
10
00
00
10
10
11
00
00
11
00
00
00
10
10
01
00
01
10
10
00
01
11
01
00
10
10
10
10
01
10
10
10
00
10
11
00
10
00
00
10
10
01
00
00
01
11
10
01
10
11
01
10
01
00
01
01
10
10
00
11
10
00
00
10
10
00
10
01
10
10
01
10
00
10
00
11
11
01
11
00
10
01
00
10
10
00
01
10
00
00
10
11
00
10
10
01
00
00
00
10
00
00
10
11
10
00
01
10
00
01
10
11
11
10
11
11
00
00
01
10
00
10
10
00
11
11
01
10
10
00
10
11
00
01
11
00
00
10
00
00
01
11
11
11
10
10
00
11
00
00
10
00
11
10
10
00
00
10
00
00
10
11
00
10
10
00
10
00
10
00
01
10
10
00
00
11
10
10
00
10
00
11
10
00
10
01
11
10
11
10
01
00
00
10
00
10
10
00
01
00
11
01
10
01
00
10
00
00
00
10
10
01
11
11
11
10
10
00
10
11
00
00
10
10
11
10
11
00
00
10
00
11
11
00
10
11
11
10
01
00
11
10
00
00
01
11
01
01
11
01
10
01
10
11
01
00
00
11
01
00
00
11
01
11
10
10
10
01
10
10
10
00
00
00
00
00
10
01
00
10
01
01
00
11
11
00
00
00
10
10
00
00
10
00
11
00
00
10
11
10
00
01
01
00
10
00
10
01
00
10
00
00
11
10
01
00
11
01
10
11
11
00
01
10
11
00
00
10
10
10
00
10
00
11
10
10
00
11
01
10
10
00
11
01
00
01
00
10
00
00
00
00
10
10
10
00
11
00
00
11
10
11
10
01
01
11
10
00
10
00
00
11
10
00
01
11
10
10
10
10
10
00
10
00
00
10
10
10
00
11
10
10
00
11
01
11
11
01
10
00
00
10
00
01
00
00
01
11
11
10
10
11
10
00
01
11
10
11
00
00
00
10
00
00
11
11
10
10
11
10
00
00
10
10
01
00
11
11
00
11
00
00
00
10
00
10
10
10
00
11
10
10
11
01
10
01
11
10
00
10
00
01
01
10
10
11
00
01
11
10
00
10
00
01
01
11
00
00
10
00
01
01
10
11
10
10
10
00
01
00
00
10
11
10
00
11
10
00
00
00
00
01
00
10
00
10
00
01
10
11
00
11
11
10
10
01
00
10
00
00
00
11
10
01
00
10
00
10
10
11
00
01
00
11
10
00
01
11
10
00
01
10
01
00
10
10
00
10
10
10
01
01
00
00
00
01
01
11
11
00
10
10
11
00
00
11
11
10
11
00
00
10
10
11
01
10
10
10
01
00
00
00
10
10
01
11
10
00
00
00
01
01
00
00
00
00
10
11
00
10
00
11
01
10
10
00
10
10
11
00
10
10
10
10
00
10
00
11
10
00
00
11
01
11
00
11
10
11
11
10
01
00
10
01
00
10
00
10
10
10
11
11
11
00
10
11
00
10
10
01
10
01
00
00
11
10
11
10
10
01
10
10
10
11
00
01
10
10
01
10
00
11
10
11
00
11
01
00
10
00
00
11
10
01
01
10
10
01
10
11
10
11
10
10
10
00
00
11
11
00
11
10
00
11
11
00
10
11
00
10
10
01
00
00
10
11
11
00
11
11
00
01
10
10
00
01
10
11
10
01
00
10
01
00
10
10
00
00
10
00
00
10
10
10
00
01
00
00
00
00
11
00
11
10
11
11
10
00
00
01
11
00
10
10
00
10
10
10
10
01
00
10
00
10
00
00
11
00
01
10
00
10
00
10
00
10
11
00
10
10
00
11
10
00
00
01
10
10
10
00
10
00
00
10
10
01
10
10
00
00
10
11
10
11
00
10
10
00
01
10
00
00
11
00
10
01
00
11
00
00
10
10
10
00
10
10
11
10
00
11
10
11
01
10
00
00
00
00
00
00
10
10
10
10
01
11
00
01
11
01
10
01
00
11
01
00
01
11
10
00
00
11
00
01
00
10
11
10
01
00
11
01
10
00
01
11
10
00
01
01
01
01
00
10
10
10
00
10
10
00
11
00
00
10
11
00
11
11
01
01
01
01
00
01
11
11
11
10
10
01
01
10
11
01
00
01
10
10
11
00
00
11
00
00
10
11
10
10
00
00
10
00
00
01
11
10
10
00
00
00
11
00
11
10
00
01
00
10
10
11
01
10
01
00
11
00
00
11
01
11
10
00
00
10
11
00
10
11
01
10
10
10
00
00
01
10
10
00
00
00
01
00
10
11
00
00
00
10
00
01
11
10
10
00
11
10
00
01
10
10
00
01
10
10
10
10
01
00
00
10
11
11
00
10
01
00
11
10
01
00
00
00
00
01
10
01
11
11
00
10
11
00
00
10
00
00
00
10
11
11
10
11
11
11
10
10
00
00
11
00
11
10
10
01
00
00
00
10
10
01
10
11
01
01
10
01
10
10
11
00
00
01
10
11
11
00
11
10
10
10
00
00
11
10
01
00
10
10
10
01
00
11
10
00
00
00
10
00
10
11
01
10
11
01
00
10
10
10
01
00
11
01
10
00
00
10
10
10
01
01
00
01
10
10
10
01
10
01
00
10
01
00
01
01
10
00
10
10
10
11
00
10
10
00
11
10
00
10
00
00
01
00
10
10
00
00
00
01
00
00
11
00
11
10
01
10
01
10
00
00
11
10
01
10
11
10
10
10
11
00
01
00
10
10
00
00
00
10
11
11
01
00
10
10
10
10
00
00
10
10
10
10
10
10
01
00
00
10
01
00
10
01
00
00
00
10
01
10
10
01
01
11
10
10
00
00
11
00
10
10
01
00
00
00
10
10
00
10
00
11
10
10
00
10
10
01
10
10
10
00
11
10
11
00
00
00
11
01
00
10
01
10
00
01
00
10
10
01
10
10
11
00
10
11
11
00
10
00
00
10
10
10
00
11
11
00
00
01
10
11
00
01
00
11
00
11
10
01
01
10
00
00
10
01
00
10
10
00
00
10
00
10
01
10
00
00
10
10
10
00
11
00
11
00
10
10
10
10
00
00
10
01
10
00
10
11
01
10
11
00
01
01
01
10
11
11
00
01
10
10
10
00
01
01
00
11
11
11
11
00
00
10
10
10
10
00
00
10
00
11
10
00
01
11
01
00
10
00
10
11
10
01
10
11
10
11
10
00
10
01
10
10
10
01
10
00
00
00
00
11
11
01
10
11
01
01
10
00
00
11
10
01
11
10
01
11
11
10
01
01
01
00
00
10
10
10
01
00
00
11
11
10
11
10
11
01
00
11
10
01
00
00
10
00
01
01
11
11
00
10
01
00
10
10
01
01
00
10
10
00
00
10
01
00
01
00
00
11
10
01
10
10
01
10
00
00
10
10
00
00
10
11
01
11
00
00
00
00
00
10
01
01
00
01
01
00
10
10
10
10
00
00
10
00
00
00
00
10
00
00
10
00
00
10
00
00
11
11
00
00
10
10
01
00
00
10
10
10
11
01
01
01
10
00
01
00
10
11
01
00
00
00
10
11
01
11
01
10
00
00
11
00
01
11
10
01
00
01
10
11
00
00
11
10
00
00
11
10
00
00
00
00
10
11
10
11
10
10
00
00
10
00
00
10
01
10
10
10
10
00
00
11
11
00
10
00
10
10
00
00
10
10
01
00
11
00
11
00
00
10
10
00
00
11
10
10
01
00
10
00
11
01
00
01
10
11
00
10
10
10
00
01
01
11
01
11
01
10
11
01
01
11
10
00
11
00
10
10
00
00
11
01
01
11
11
10
00
11
01
11
11
01
01
10
01
11
00
01
10
11
10
10
00
11
10
00
11
10
11
10
10
00
01
10
11
11
10
00
00
00
10
11
00
01
11
11
10
01
10
00
11
11
00
10
10
01
10
10
00
01
00
00
01
11
10
10
11
00
10
11
01
01
10
00
10
10
11
11
10
01
00
10
00
10
01
00
00
10
01
00
01
11
10
00
10
11
10
10
00
00
00
11
00
10
00
00
10
11
00
01
10
11
01
10
00
00
10
10
00
10
00
00
10
11
11
10
00
00
10
01
00
11
01
01
01
00
11
00
00
10
01
00
11
10
10
10
10
11
00
00
01
11
00
00
00
11
00
00
01
01
10
10
00
10
10
00
00
00
10
00
00
10
00
01
10
10
10
01
10
10
00
10
01
01
11
11
11
10
00
00
10
10
00
01
11
10
01
10
00
01
01
01
10
11
00
10
00
10
10
01
01
10
10
00
10
10
10
00
00
10
10
10
10
01
10
00
10
10
00
00
00
10
10
10
00
10
00
00
00
00
10
10
00
10
10
11
10
01
01
01
11
00
10
00
10
10
01
10
10
00
00
11
00
01
10
11
01
11
00
00
10
01
10
10
00
01
10
10
10
00
11
00
01
10
11
01
00
10
10
00
10
01
00
11
10
00
00
01
11
10
10
00
10
11
00
01
10
01
00
11
01
01
00
11
00
10
10
00
01
11
11
00
01
01
11
00
00
10
10
01
10
01
01
10
10
10
11
00
00
10
10
00
00
00
11
01
00
10
00
00
00
00
00
00
00
10
10
10
10
10
10
10
00
01
00
01
00
11
00
11
00
11
00
01
00
00
01
10
11
00
00
10
10
10
11
10
01
01
11
10
00
01
11
01
01
01
10
00
00
10
10
10
01
10
10
00
10
00
10
10
00
10
10
00
10
01
11
01
01
10
00
10
01
10
00
00
10
00
10
10
10
10
10
11
00
11
10
01
10
11
01
10
10
00
11
11
10
10
00
00
00
00
00
10
00
10
01
00
11
10
00
10
11
10
00
10
11
10
10
10
01
00
11
10
00
01
01
00
00
00
10
11
00
00
10
10
10
11
00
00
01
00
00
10
10
01
01
10
01
11
00
10
11
10
00
00
10
10
11
10
01
00
10
10
10
10
01
00
10
10
10
10
01
10
00
11
00
00
10
01
01
00
11
11
10
00
10
00
00
11
10
11
00
01
00
10
00
11
00
00
00
10
10
10
00
10
10
00
00
11
01
10
00
11
10
01
00
00
10
10
10
00
00
10
00
10
11
11
10
01
11
00
01
01
01
11
00
10
00
10
11
00
01
00
11
10
00
00
01
10
10
11
01
10
01
01
01
11
00
01
10
00
00
00
10
10
10
11
10
10
11
00
00
10
00
00
11
11
00
10
01
01
10
11
00
01
10
00
10
10
11
00
00
10
01
00
01
00
00
11
11
00
01
10
10
01
00
10
01
00
10
00
10
00
00
10
01
10
10
00
00
10
00
11
11
00
01
10
11
00
10
10
10
00
01
00
11
00
10
10
10
01
01
01
10
00
10
01
00
11
10
00
01
00
00
00
11
10
10
01
01
11
11
00
11
00
00
00
10
10
10
10
00
00
11
11
10
10
11
10
00
00
10
00
00
10
10
01
11
11
00
00
01
00
00
00
10
10
00
10
00
00
10
01
01
00
01
10
10
10
11
00
10
10
10
11
11
00
10
11
01
00
11
10
00
01
10
11
10
00
00
10
10
10
01
01
01
10
10
00
01
10
00
10
10
00
00
00
11
00
00
10
00
10
01
10
10
00
11
00
10
01
01
00
10
11
00
10
00
11
11
10
01
11
10
00
10
11
00
00
10
00
00
11
00
10
10
01
00
00
01
10
11
01
10
10
00
01
10
10
00
01
10
11
00
01
00
10
01
01
10
10
00
01
00
00
10
11
10
10
00
00
00
01
10
11
01
10
01
10
10
11
01
01
01
10
10
01
10
10
01
10
10
10
00
00
11
10
10
01
10
11
10
00
00
11
10
00
10
10
11
10
00
01
11
00
11
10
00
10
10
00
11
10
00
10
00
00
10
10
10
10
00
10
11
00
10
00
11
10
10
10
00
10
00
00
10
11
00
10
00
10
11
00
00
10
00
11
00
00
00
00
10
00
10
01
10
00
01
00
11
10
11
01
00
10
00
11
00
00
10
10
01
10
10
11
11
11
10
10
00
10
10
00
10
10
10
00
01
11
11
10
00
00
00
00
01
11
11
11
00
10
01
10
00
10
00
00
01
10
10
10
11
01
00
11
11
10
01
10
11
00
11
11
01
11
01
10
01
00
10
10
00
00
10
10
00
10
10
10
00
01
10
10
10
10
00
10
00
01
10
10
10
10
01
01
00
10
00
11
10
00
01
00
00
00
00
00
10
00
00
00
11
10
10
10
01
10
11
00
11
11
11
01
00
10
11
00
01
10
00
00
11
10
10
00
10
00
00
01
10
11
00
10
11
00
01
10
10
10
10
10
00
01
11
10
10
00
11
00
00
10
10
00
00
01
00
00
00
00
00
00
10
10
10
11
11
10
00
00
00
00
10
00
01
11
10
11
01
01
11
01
10
00
01
10
00
10
10
01
10
11
01
00
00
10
11
11
10
01
00
00
11
10
00
00
00
10
01
00
11
00
00
00
10
00
00
00
01
00
01
10
00
00
10
10
11
10
00
00
10
00
00
10
00
11
11
11
11
10
00
00
01
00
10
01
10
10
10
00
01
00
01
10
10
10
11
11
01
10
11
00
10
10
11
01
01
10
00
01
01
10
10
00
00
11
11
10
01
00
01
00
10
01
10
10
00
11
11
10
01
00
11
11
01
10
11
00
01
00
00
11
01
10
10
11
00
10
01
11
11
11
11
11
01
00
10
10
10
10
00
01
10
11
10
11
00
01
00
10
10
00
10
10
10
00
10
10
11
00
11
11
10
10
00
00
10
10
00
00
11
11
10
11
10
00
10
10
01
10
00
11
01
01
00
01
10
00
10
11
00
00
10
00
00
10
00
10
10
00
10
00
01
11
01
01
01
10
00
11
00
01
10
10
00
10
01
00
10
10
10
00
00
00
11
10
00
00
11
10
00
10
10
00
00
00
01
00
10
10
00
10
10
11
01
10
10
01
11
00
00
00
10
10
01
00
11
10
11
11
01
00
11
00
01
11
00
00
01
10
10
01
10
11
00
11
11
10
00
00
00
10
10
10
00
00
00
10
11
00
00
01
11
10
11
10
00
11
10
01
10
10
01
00
00
00
01
10
10
00
10
01
01
00
00
00
00
10
00
11
11
10
00
10
00
01
01
00
11
00
10
11
11
10
00
00
11
00
10
11
00
01
10
00
00
00
10
10
00
01
00
00
10
10
00
00
00
01
00
11
10
10
00
00
00
11
01
01
00
10
11
10
01
11
10
00
00
00
00
10
10
00
01
00
00
10
10
00
10
00
01
10
10
10
10
10
10
00
11
10
00
10
01
11
00
10
11
00
10
00
01
00
00
10
10
10
01
11
10
10
00
11
01
10
11
10
00
00
01
10
00
00
00
00
11
10
10
01
00
01
00
01
00
00
10
10
00
10
10
11
00
01
10
01
00
00
00
11
11
00
10
00
00
00
00
00
01
01
00
01
00
10
10
10
10
00
10
11
10
01
10
00
10
00
11
11
10
00
01
00
00
10
11
00
10
00
11
11
00
11
00
10
00
01
10
01
11
11
10
00
10
11
00
00
11
11
00
10
01
00
00
00
01
10
10
00
01
10
11
01
10
00
00
01
10
00
00
00
01
10
00
10
10
10
00
10
10
00
00
11
10
01
10
10
01
10
11
00
00
01
01
10
11
11
00
10
11
10
00
10
10
11
01
00
01
11
10
01
11
11
10
10
01
00
10
10
10
00
10
11
00
00
00
00
10
11
10
11
11
10
00
10
01
00
10
10
00
01
10
00
10
00
01
10
11
10
01
01
10
11
00
10
10
01
00
10
01
00
10
00
00
11
00
10
00
00
10
10
00
00
10
11
01
10
10
00
10
01
10
10
11
11
00
11
00
01
10
01
00
00
01
00
11
10
11
11
10
10
10
00
10
00
10
01
00
00
11
00
01
10
10
11
00
00
00
00
10
01
11
10
01
10
10
00
10
11
01
10
11
00
01
10
00
00
11
10
00
00
11
10
01
11
00
11
10
00
00
00
00
00
10
10
11
00
10
10
10
01
01
10
11
00
10
11
01
11
00
00
11
11
00
00
10
10
10
10
10
10
00
00
01
10
10
11
01
01
10
01
10
11
01
10
00
00
01
10
11
00
01
00
00
01
11
10
11
10
10
10
10
10
11
00
01
00
01
00
11
10
10
10
10
00
00
10
10
00
00
10
10
00
10
11
10
01
10
11
00
01
10
10
00
00
00
01
01
10
01
00
10
00
00
00
10
00
01
00
00
10
00
00
00
10
11
10
01
10
10
00
01
11
01
01
10
10
10
00
01
10
01
00
01
10
00
00
10
00
01
00
11
00
11
00
11
11
01
01
10
00
00
01
11
10
00
01
01
10
00
00
11
10
00
10
01
10
11
00
10
00
00
00
10
01
01
00
00
11
11
11
00
10
11
00
00
00
11
00
11
10
10
11
01
10
10
10
00
10
00
10
10
10
00
00
01
00
01
00
11
10
00
00
00
10
10
10
11
10
00
01
01
01
10
00
10
10
00
00
00
10
00
00
01
00
01
10
10
10
11
01
00
00
10
11
10
00
00
11
11
00
00
00
10
10
10
10
00
00
10
10
00
00
11
00
00
00
00
00
00
00
10
00
11
11
01
10
10
10
10
10
11
11
00
00
10
01
11
10
00
00
11
00
10
01
01
11
01
00
11
11
00
00
10
11
00
10
10
00
11
00
01
00
11
01
00
10
10
10
00
00
01
10
11
00
10
10
10
01
10
10
00
01
11
10
11
10
01
01
00
11
11
01
11
00
00
00
00
10
00
01
11
11
10
00
11
00
10
10
00
00
00
10
11
11
11
00
01
10
00
10
01
10
01
00
10
10
00
00
00
11
00
11
00
10
10
00
01
00
00
11
10
11
10
00
01
00
10
00
00
10
11
00
10
01
01
10
01
10
00
10
01
01
10
11
00
10
00
10
01
10
10
10
00
10
10
00
00
00
00
00
01
11
00
11
00
00
00
00
00
00
01
11
10
11
11
01
00
11
10
01
11
11
10
10
01
00
10
00
11
11
01
01
10
00
10
10
00
01
10
01
10
10
10
10
00
00
10
10
00
01
10
11
01
11
11
10
10
11
11
01
00
00
11
10
10
10
11
01
00
00
01
00
00
00
00
01
10
11
11
00
00
10
00
10
00
01
10
11
10
01
00
01
01
10
01
00
00
10
01
01
11
01
11
00
10
10
00
00
00
10
10
10
00
11
00
00
11
10
11
10
10
00
00
01
00
10
01
10
11
01
01
01
00
01
11
10
01
01
10
11
01
00
00
11
11
11
00
00
00
11
00
10
10
11
01
00
10
00
11
10
01
00
11
01
00
01
00
00
01
01
01
10
00
11
10
00
10
01
01
00
00
10
10
10
10
00
01
00
10
10
00
10
10
00
11
10
11
10
01
10
00
00
10
01
00
00
10
00
11
10
10
10
00
10
10
01
00
11
01
10
00
10
10
00
11
01
11
10
10
00
11
01
00
11
10
00
11
01
10
10
01
10
01
11
00
00
01
10
00
00
10
10
00
00
00
11
10
10
00
00
10
00
00
11
11
01
10
10
01
11
11
11
00
01
00
10
00
00
11
10
10
11
01
10
01
00
00
00
10
10
11
10
01
11
10
00
01
10
11
00
00
10
11
00
00
10
00
11
11
00
11
11
01
00
11
10
00
01
10
01
10
10
00
00
11
00
11
01
00
11
00
01
10
11
11
01
00
10
00
01
10
11
00
00
01
11
11
11
00
01
01
01
00
11
10
00
00
11
00
00
00
10
10
00
00
10
11
00
01
10
11
01
01
11
11
00
01
00
01
11
10
01
00
00
10
00
10
00
10
10
01
11
11
00
00
00
00
00
10
01
10
10
10
00
11
10
10
11
00
10
11
01
00
00
00
00
10
11
10
10
10
00
00
10
11
00
11
00
00
10
11
00
10
10
00
10
10
10
01
11
10
00
10
10
11
01
11
11
01
10
10
01
00
01
11
10
00
00
01
00
11
10
00
00
11
00
00
01
10
01
01
10
00
00
10
11
10
00
10
10
00
10
10
00
11
00
11
11
00
00
11
01
01
10
00
10
01
10
11
01
00
00
10
10
11
00
00
10
01
01
10
10
10
10
10
11
01
00
00
00
11
10
01
10
00
00
10
10
00
01
11
01
00
10
10
00
00
00
00
10
00
10
01
01
11
10
11
11
10
10
10
10
01
01
10
11
10
10
10
00
01
10
10
10
00
00
10
11
00
11
10
00
00
10
10
10
10
01
00
01
10
10
10
10
00
00
01
10
01
01
10
00
01
10
10
00
01
10
00
10
00
00
10
11
00
00
11
01
01
11
01
00
10
11
01
00
10
11
01
11
00
00
10
10
11
01
00
11
00
10
10
00
11
00
11
10
10
10
11
00
01
10
10
01
00
01
10
01
00
00
11
10
10
10
00
00
10
00
00
00
10
00
11
10
11
01
11
11
00
01
00
01
10
10
00
00
10
10
10
01
10
10
10
11
00
10
10
01
11
00
10
10
10
00
11
10
11
01
00
00
00
10
00
00
00
00
00
10
00
00
00
11
11
10
00
01
10
11
00
01
11
10
01
10
00
00
10
10
10
10
01
10
10
01
10
00
01
00
11
00
01
10
00
00
10
10
01
10
11
00
11
00
01
10
11
11
00
10
11
00
00
10
10
10
01
10
11
10
11
00
00
11
10
00
11
01
01
10
10
00
11
00
00
00
11
00
00
01
10
00
10
10
01
00
10
00
00
01
11
01
01
11
10
00
11
10
10
00
00
11
10
01
10
01
00
00
00
00
10
10
10
01
00
00
00
10
01
10
00
00
00
10
10
10
01
10
11
00
01
01
10
00
00
10
00
10
10
00
10
10
00
01
11
00
11
00
01
10
10
10
01
00
10
10
01
00
10
00
00
11
10
00
10
11
11
00
10
01
00
10
00
00
10
11
11
11
11
00
01
00
00
11
10
10
10
01
00
10
10
00
00
11
01
00
10
00
01
00
10
10
11
00
00
00
00
01
11
10
01
10
10
00
01
11
10
10
01
10
10
10
10
10
01
01
00
11
00
00
10
00
10
11
10
01
01
00
10
11
00
00
00
00
00
11
10
00
01
10
01
10
00
10
00
00
10
00
00
00
01
10
00
11
00
11
10
00
11
01
11
00
11
11
10
10
01
10
10
00
00
10
11
10
00
10
01
00
10
00
10
00
00
10
10
00
00
00
00
10
00
10
00
10
10
01
00
01
01
10
11
00
11
10
10
00
10
00
00
10
10
00
10
10
00
00
01
10
10
11
11
01
10
10
11
11
01
01
11
10
11
01
00
11
10
00
00
10
11
01
00
10
10
00
00
10
00
00
11
11
10
01
01
00
10
00
00
00
10
11
00
11
10
00
10
00
10
10
10
01
00
00
10
11
01
01
00
00
00
10
10
00
10
11
01
11
11
00
10
10
10
10
00
00
00
10
01
10
00
10
10
01
11
10
10
01
10
11
00
00
10
01
10
10
01
01
10
00
10
00
11
00
01
11
10
00
00
01
10
01
10
10
00
11
10
00
11
00
10
00
00
10
10
00
10
01
01
01
01
11
00
10
11
11
10
11
01
00
00
10
01
10
10
01
10
11
01
00
10
01
00
10
10
11
10
00
01
10
00
10
01
01
11
00
11
00
00
00
00
00
10
10
00
00
00
10
00
11
10
00
11
00
10
00
10
00
10
10
01
11
00
10
00
00
00
00
10
11
00
01
00
10
11
00
10
01
00
10
00
11
00
11
01
01
10
11
01
10
10
00
10
00
01
11
01
10
00
01
11
00
01
10
10
01
00
00
00
00
10
10
00
11
10
01
00
11
11
10
00
10
10
01
11
10
00
10
10
00
11
10
01
10
00
00
00
11
11
00
01
00
00
10
11
10
11
10
00
00
00
00
01
00
00
10
11
11
11
10
11
00
00
10
10
11
01
00
10
00
00
00
11
10
01
10
01
00
11
00
10
01
00
00
10
01
00
01
10
00
01
00
10
10
10
00
00
00
11
01
01
00
00
00
00
00
00
10
11
10
10
01
10
01
11
00
00
10
11
00
10
10
01
11
00
10
10
00
00
01
10
10
11
00
10
00
00
11
10
10
01
10
11
00
00
10
10
11
10
10
00
00
11
00
01
00
01
01
10
00
11
11
00
10
00
10
00
01
10
10
00
00
10
00
11
00
01
10
10
00
11
11
01
10
11
10
01
01
10
10
11
01
00
10
00
10
11
10
01
00
01
00
10
11
10
01
00
11
10
11
00
00
11
00
00
00
10
10
10
01
00
01
10
11
10
01
00
11
00
00
10
11
00
10
10
00
00
10
10
00
11
10
11
11
01
10
10
10
11
00
01
10
01
10
10
00
00
00
11
10
00
10
11
00
01
10
00
11
01
00
00
11
10
00
01
10
10
00
00
00
10
01
01
01
10
10
00
01
00
10
10
00
10
11
00
01
10
00
00
00
01
10
00
00
11
11
10
00
10
11
01
01
11
10
10
00
00
10
10
10
00
01
00
10
11
00
00
10
10
11
11
00
10
11
00
00
01
10
11
11
00
01
10
10
00
11
10
00
11
11
00
11
10
10
11
11
00
01
10
10
00
00
10
10
11
00
11
10
10
11
11
01
00
10
10
01
10
00
10
10
00
01
10
10
00
01
11
01
01
10
00
01
01
10
10
00
11
10
00
00
10
10
01
01
10
10
01
00
10
11
00
10
00
01
10
00
01
10
10
10
10
00
00
00
00
10
01
10
10
10
00
11
10
00
00
00
11
11
10
10
10
10
11
01
00
01
01
00
00
10
10
00
00
11
11
10
10
10
10
11
11
01
00
11
10
00
10
00
11
10
10
00
01
10
10
01
00
01
00
01
10
00
01
10
00
00
11
10
00
01
10
01
01
10
01
00
00
11
11
01
10
10
00
10
10
11
10
00
00
10
10
00
00
00
00
10
00
10
01
11
00
00
11
00
01
10
00
10
00
00
11
00
11
00
00
11
10
10
11
11
01
10
10
10
10
00
00
10
10
11
00
10
00
10
11
00
11
00
00
10
11
00
10
10
10
00
10
00
01
11
00
00
00
10
10
10
00
01
00
10
11
10
10
11
00
01
11
11
01
10
10
00
00
10
10
00
10
10
11
10
00
00
10
01
00
11
01
10
01
10
00
00
11
10
10
11
10
00
10
01
10
01
00
10
00
01
10
00
00
10
10
01
00
00
10
01
00
11
11
10
01
10
10
00
00
00
11
00
00
00
10
11
01
10
11
00
10
10
10
00
01
10
11
10
10
00
01
10
10
01
01
00
10
00
10
00
11
01
00
11
01
10
01
01
10
00
01
11
01
11
10
11
10
00
10
00
00
10
00
11
00
01
10
11
00
01
10
00
11
11
00
01
11
10
00
00
10
10
11
01
10
00
01
00
00
00
10
00
10
01
10
00
11
10
00
01
10
10
01
10
01
00
10
01
10
00
01
00
10
00
10
00
10
01
01
01
11
10
00
10
00
00
00
11
11
00
00
01
01
10
00
10
10
00
10
11
00
01
10
01
00
10
10
00
00
00
00
10
10
00
10
10
00
10
10
11
10
00
00
11
11
11
10
01
01
11
00
00
11
10
01
01
01
00
10
00
00
11
10
10
11
01
00
00
00
11
10
10
11
00
01
10
00
01
11
00
10
11
10
00
10
11
00
00
11
10
11
11
01
00
00
00
01
10
11
01
00
01
00
10
10
10
10
10
11
11
00
00
01
00
11
01
01
01
10
00
11
01
00
01
10
10
00
00
11
11
11
10
10
10
11
10
00
00
11
00
11
00
00
10
11
10
10
10
00
01
11
10
10
11
11
00
11
00
00
11
11
00
00
01
10
00
01
00
10
10
00
00
01
01
01
10
11
10
10
10
00
00
10
10
01
11
10
01
01
01
01
11
10
00
01
10
00
00
10
10
10
01
00
00
01
00
00
00
00
10
10
00
10
00
10
00
00
00
11
10
10
00
00
00
10
00
00
10
00
10
00
11
10
00
10
10
00
00
01
01
10
01
01
00
00
10
10
00
01
11
01
11
00
00
11
10
00
01
11
10
10
00
00
00
01
00
00
10
10
01
01
10
11
01
00
01
10
01
00
11
00
10
11
11
10
00
10
10
10
00
00
01
11
00
11
01
11
01
00
00
00
01
11
00
00
10
00
01
01
01
01
10
10
00
10
01
01
10
11
10
10
01
10
00
10
10
01
00
10
00
00
10
00
00
10
00
11
01
01
11
11
11
10
00
00
10
00
01
10
10
01
00
10
01
10
11
00
00
10
01
10
11
01
00
01
01
10
10
10
00
01
00
00
00
00
11
00
11
10
11
10
10
10
01
00
00
00
11
00
10
10
00
10
00
10
10
11
00
00
00
10
01
00
00
10
10
00
11
10
00
01
00
10
00
11
10
01
11
10
00
10
00
10
01
01
10
01
01
01
01
11
01
01
10
10
01
00
11
10
11
00
10
10
10
00
01
00
10
00
00
00
10
00
00
00
10
00
11
00
01
10
00
01
10
10
00
10
10
01
00
10
10
00
00
11
01
10
00
01
10
10
11
01
00
10
00
00
10
01
00
10
00
01
10
00
00
11
10
00
00
00
00
10
00
10
11
11
10
00
10
00
01
00
10
11
00
00
00
00
11
00
00
00
10
11
10
11
00
00
00
10
00
00
11
10
10
01
10
10
00
00
00
10
00
11
11
00
11
10
01
00
01
11
01
00
10
00
00
10
00
10
10
00
10
10
00
00
00
00
00
10
10
00
01
00
11
00
11
00
00
00
10
00
00
00
10
00
10
00
00
01
10
11
00
00
10
01
11
01
00
10
10
00
00
01
11
10
11
00
10
10
10
00
10
00
00
10
10
10
10
10
10
01
10
11
01
11
00
00
11
11
00
00
00
11
00
00
10
10
00
00
10
10
10
10
10
01
00
00
10
10
00
10
01
00
01
11
00
10
01
11
01
00
10
11
10
11
11
01
01
10
00
10
00
01
10
10
01
11
10
11
00
10
01
01
10
11
01
00
00
11
10
01
00
00
10
00
00
11
10
01
00
01
10
10
01
10
00
00
00
01
10
10
10
00
00
11
00
01
11
11
10
00
10
11
11
01
10
10
01
01
00
00
10
11
01
10
00
10
00
01
11
00
11
00
10
11
01
10
11
10
10
00
00
00
00
00
10
10
00
00
00
00
11
11
01
10
01
10
01
10
10
11
01
01
11
10
00
00
10
00
10
10
00
00
11
00
11
01
10
00
10
11
00
10
11
00
00
10
00
10
01
11
00
01
10
10
10
00
01
10
11
10
10
00
00
11
01
10
00
00
01
01
00
01
10
10
10
10
11
10
01
10
11
10
00
10
00
10
10
10
11
10
01
10
10
11
00
11
10
11
01
00
01
00
01
11
00
10
11
00
00
11
10
01
00
11
01
10
10
01
10
11
11
00
10
10
01
10
10
01
00
00
01
00
11
10
11
00
00
00
00
10
10
11
01
10
11
11
01
01
10
10
10
00
00
11
00
01
10
11
10
10
10
00
11
01
00
11
01
01
11
11
00
00
10
10
00
10
10
00
01
00
11
00
10
11
00
00
00
11
10
10
10
00
01
10
00
00
10
10
00
10
11
00
11
11
00
00
00
00
00
10
10
00
01
00
00
11
11
00
00
10
00
10
11
11
11
01
00
10
10
00
00
00
10
00
01
11
11
00
00
10
00
11
10
01
00
00
10
10
00
10
10
00
00
00
11
10
10
10
01
10
00
11
10
01
01
11
10
11
00
01
00
11
00
00
10
11
00
10
00
00
10
00
10
00
00
11
01
00
01
01
10
00
11
10
10
01
01
11
11
10
10
11
10
00
01
10
11
10
10
01
00
10
00
00
10
00
00
11
01
00
10
00
00
11
00
10
01
00
00
11
00
01
00
01
11
00
00
10
00
00
10
11
00
11
00
00
00
01
11
01
11
10
00
10
11
11
10
01
11
11
01
11
00
10
10
00
00
10
10
01
00
11
10
00
01
10
10
11
10
00
11
11
10
10
00
00
10
10
00
11
01
10
01
00
00
01
10
00
10
11
00
01
11
10
10
10
11
00
10
10
10
10
10
10
01
10
10
11
00
11
01
00
10
10
10
00
11
10
01
00
10
00
11
00
01
10
10
10
00
00
10
10
00
10
00
00
10
00
00
01
11
11
10
11
10
01
01
10
11
00
11
10
00
00
10
10
01
00
11
00
10
10
00
01
11
01
00
11
11
01
00
10
10
00
01
10
10
01
11
10
10
01
01
10
11
01
00
10
10
10
00
11
10
00
00
00
00
11
01
00
01
00
11
11
10
10
10
01
01
00
10
01
11
10
01
00
10
00
00
10
11
10
01
10
11
00
11
10
11
10
00
00
10
10
00
10
11
01
10
00
01
10
10
10
10
10
01
00
00
10
10
00
01
10
11
11
00
11
11
01
01
01
10
10
00
00
10
11
01
00
01
00
11
10
10
10
10
10
00
00
00
01
10
00
10
00
10
10
00
11
10
11
10
10
10
01
01
10
10
00
11
00
00
01
00
10
00
10
11
00
01
00
10
11
00
11
01
00
00
00
10
00
00
10
10
10
00
10
10
10
10
10
00
10
10
00
10
10
11
00
01
10
01
01
10
11
11
10
01
10
00
11
01
01
10
10
10
11
10
00
00
11
01
10
10
10
10
11
10
00
10
10
10
10
00
00
01
00
01
01
11
10
00
00
01
00
11
00
01
01
01
11
10
10
10
00
00
00
11
01
01
11
00
10
10
00
10
11
10
00
00
01
00
00
00
01
11
01
10
11
10
10
11
10
10
00
00
01
00
10
00
11
10
00
10
10
10
00
00
00
00
00
10
11
01
11
00
00
10
00
10
10
00
00
10
11
10
10
01
00
00
01
10
01
10
10
00
01
11
00
11
00
00
01
10
10
00
10
10
01
01
10
01
01
11
11
00
01
01
01
11
10
00
00
10
10
10
00
00
10
10
11
11
00
10
11
00
10
00
10
10
10
00
10
11
10
10
00
00
10
11
10
11
00
11
10
11
10
01
00
11
11
00
00
00
10
11
11
01
01
01
10
11
10
00
11
10
00
01
00
11
01
10
10
00
10
11
01
00
10
11
10
10
00
01
00
10
11
00
00
10
10
00
00
10
10
00
01
10
01
10
00
00
10
00
00
10
11
00
01
00
01
00
01
10
00
10
11
11
00
10
10
00
00
00
10
10
10
01
10
10
10
01
01
01
00
01
11
01
01
11
10
00
11
10
00
00
10
10
00
00
11
10
11
01
00
10
00
00
00
00
10
10
11
00
10
10
01
01
00
11
10
00
10
00
11
11
01
01
00
00
01
01
00
01
00
11
10
11
00
11
10
00
11
10
00
00
10
00
10
10
01
00
01
11
10
00
10
01
11
01
01
11
10
01
10
00
01
01
10
00
00
11
11
00
10
10
11
00
01
10
10
10
11
10
00
00
10
10
10
00
01
10
01
00
01
00
01
00
10
10
00
11
10
10
00
01
10
01
01
10
00
10
11
10
11
00
11
00
01
00
11
10
00
10
11
00
00
10
11
00
01
00
11
00
10
10
01
00
00
10
00
01
00
10
11
10
00
11
00
01
10
10
10
00
00
10
10
00
10
10
00
01
10
00
01
01
10
01
10
11
10
00
00
10
10
10
11
10
00
00
10
10
10
00
00
01
10
11
11
01
00
00
10
10
00
01
10
10
00
00
11
11
10
01
11
00
10
01
00
10
10
00
00
00
00
10
01
11
01
00
00
11
11
10
10
00
11
11
00
01
00
00
00
00
11
10
00
00
11
10
01
01
10
00
01
10
00
01
10
10
10
01
10
00
10
10
01
00
00
11
00
00
10
00
00
00
00
10
10
00
00
00
01
10
01
00
00
10
00
11
11
10
00
10
01
10
01
00
01
10
10
00
01
01
00
11
11
00
01
01
10
11
00
01
10
10
00
01
11
10
10
01
01
00
00
01
11
01
01
10
10
00
00
00
01
11
11
01
10
10
10
11
00
11
10
00
10
10
11
10
10
01
01
11
10
11
10
10
01
00
00
10
10
01
11
10
01
00
00
00
00
11
10
11
00
10
10
10
10
01
10
10
00
00
00
00
10
10
10
00
10
00
11
00
01
00
00
00
00
11
01
00
11
01
10
11
11
00
01
11
10
11
11
00
01
11
01
10
10
00
10
10
00
00
10
11
00
00
11
00
11
01
10
10
00
00
00
01
00
11
10
00
00
10
11
11
11
00
10
00
00
10
10
10
00
00
00
11
00
01
11
10
10
10
10
10
01
00
00
10
10
10
00
11
00
00
10
11
01
10
00
01
10
00
01
00
10
11
00
10
00
10
00
10
10
00
01
11
01
00
10
10
11
01
10
10
00
00
11
00
01
10
10
10
00
00
10
01
01
01
11
11
00
10
00
01
10
00
00
10
11
00
00
10
00
10
10
00
11
01
00
00
10
01
10
00
00
01
10
00
00
10
10
00
00
10
10
10
00
01
01
10
10
10
00
10
01
10
11
11
11
01
10
10
00
10
11
11
00
01
10
11
10
10
00
11
10
01
00
01
00
11
10
00
10
11
10
10
10
00
00
10
01
00
00
01
10
01
10
11
11
10
01
10
00
10
11
10
01
00
10
00
10
11
01
00
10
10
10
00
11
10
00
11
10
10
00
00
00
00
10
00
11
11
01
10
11
11
10
00
00
10
00
11
10
00
01
00
01
11
01
01
01
11
10
01
01
10
01
00
10
11
00
11
11
10
00
00
11
01
10
00
00
11
10
10
00
11
10
01
00
01
00
00
11
10
00
00
11
11
01
01
10
00
11
10
10
11
01
00
10
00
01
00
11
00
11
11
00
10
10
10
00
00
01
01
10
10
10
01
10
10
00
10
10
10
01
00
00
10
10
11
10
10
00
01
00
00
10
11
00
10
10
01
00
10
10
00
01
10
10
10
00
10
01
00
11
00
11
11
10
00
00
10
10
00
00
10
10
10
10
10
10
00
00
10
10
10
01
11
10
00
10
00
11
11
10
01
11
10
10
00
00
00
11
10
00
00
11
01
00
10
10
10
10
01
01
10
01
01
01
10
00
01
00
01
10
11
10
00
00
00
11
00
00
10
10
10
00
00
01
11
10
10
10
10
10
10
00
00
10
00
00
00
10
00
00
10
01
10
10
00
10
10
00
11
10
00
01
00
10
11
10
01
01
10
10
10
00
10
01
11
10
01
10
10
10
00
01
10
11
00
00
10
10
00
00
10
11
10
00
11
00
00
00
10
10
10
10
10
11
10
10
11
11
11
00
01
01
01
00
00
10
10
00
01
01
10
00
01
11
00
00
11
10
01
00
00
00
10
10
00
01
10
11
10
10
10
10
01
10
11
00
01
00
10
01
01
10
10
10
10
10
00
10
10
00
01
00
01
10
11
00
00
10
00
10
10
00
10
00
00
00
00
00
01
00
00
11
10
10
00
00
01
10
10
01
00
00
11
10
00
11
00
11
11
00
01
10
00
00
00
10
10
00
00
00
00
01
00
10
00
01
00
11
10
10
00
01
01
00
01
10
10
00
01
11
10
00
10
10
10
10
00
00
10
00
00
10
10
10
00
00
10
00
01
10
11
00
01
01
00
00
10
01
10
10
01
10
01
11
10
00
01
01
10
00
01
00
10
00
11
01
00
01
01
10
01
00
10
10
00
00
10
10
00
00
11
01
10
00
10
10
01
11
01
10
00
10
10
11
00
01
10
11
00
11
10
10
10
00
01
00
00
11
11
11
11
11
11
11
10
01
11
11
11
01
01
01
01
10
10
10
01
00
11
10
11
01
11
01
00
10
11
00
00
10
00
01
01
00
11
10
01
01
00
10
00
00
00
10
10
01
10
11
10
01
10
10
11
11
11
00
10
00
00
11
11
00
00
11
10
10
01
01
01
01
10
11
00
00
01
10
10
00
10
00
10
00
01
11
10
01
10
01
10
01
00
10
10
00
00
10
00
10
10
00
00
10
01
10
00
10
10
11
11
11
11
01
00
01
00
00
00
11
11
00
00
10
10
10
10
01
01
01
10
00
00
00
01
10
00
01
01
11
10
10
01
10
11
00
11
10
01
00
01
01
11
00
11
00
00
00
11
10
00
00
11
10
11
00
00
10
10
00
10
00
11
01
00
01
00
11
00
00
10
01
10
10
10
10
10
10
00
01
00
00
10
10
10
11
01
00
01
10
10
10
00
00
10
10
10
01
10
00
10
00
10
11
01
01
10
01
10
10
10
00
01
11
11
00
00
01
10
10
00
10
11
01
00
11
11
01
11
11
10
00
11
11
11
01
00
10
00
00
10
10
00
00
00
11
11
01
11
01
00
11
01
01
01
11
10
01
11
11
01
00
11
10
00
11
10
00
00
11
11
10
11
01
10
00
10
11
01
10
01
11
10
01
11
10
10
10
00
00
11
11
00
11
10
00
00
10
10
00
11
10
00
01
10
11
10
00
10
00
01
01
00
11
10
00
01
11
00
00
00
11
11
00
10
00
10
11
00
10
10
00
01
00
10
10
10
10
00
01
10
10
10
01
01
10
00
00
01
10
10
00
01
10
11
00
10
01
00
11
00
00
11
11
10
00
00
11
00
01
10
10
00
11
00
10
00
11
01
01
00
00
00
10
10
10
00
10
01
00
00
01
10
00
00
10
11
10
10
00
00
11
10
00
01
10
11
00
01
10
00
00
10
00
00
11
00
10
00
00
10
01
01
10
00
10
00
10
00
01
10
10
01
00
11
10
00
01
00
10
11
00
00
11
00
10
11
00
10
10
10
00
00
01
01
11
10
10
10
00
00
11
00
10
00
10
00
10
01
00
01
01
00
11
01
00
01
00
10
10
11
00
10
10
00
11
10
11
00
00
00
10
10
10
11
01
00
10
01
00
11
00
11
10
01
00
00
01
11
00
00
11
11
10
00
10
10
10
00
10
00
10
11
00
11
10
10
10
01
01
00
10
10
00
00
10
10
01
00
00
10
10
10
10
01
01
01
10
11
10
10
10
00
01
01
00
10
10
00
00
00
00
10
10
10
11
10
10
01
11
00
11
00
00
00
00
10
00
10
10
10
01
00
00
10
10
00
00
10
10
00
00
00
10
01
00
10
00
00
10
00
11
01
10
10
00
10
01
01
00
11
01
00
11
00
00
00
10
10
00
11
10
01
10
11
00
01
00
10
10
11
01
00
00
10
01
00
00
10
11
00
00
11
10
10
10
00
10
01
00
10
11
00
10
00
01
00
11
11
00
10
01
00
01
00
11
10
01
10
00
10
00
10
11
00
00
00
11
00
00
01
11
00
10
10
00
10
10
10
10
10
00
01
11
11
00
00
10
00
10
00
00
10
00
01
11
00
00
10
11
11
01
10
10
01
00
00
00
01
10
01
00
10
10
00
00
10
10
00
10
10
10
00
10
01
10
00
00
00
10
00
10
01
00
11
11
10
10
00
11
10
00
01
10
10
11
10
01
11
10
11
11
01
01
10
11
00
01
00
00
10
11
10
00
01
11
01
01
10
11
10
01
00
01
01
11
11
00
10
10
11
01
00
00
11
10
00
10
10
00
11
00
01
01
11
10
01
01
01
10
10
10
11
00
01
10
10
01
01
00
11
00
10
00
00
00
00
11
10
10
01
11
10
11
11
00
00
00
10
10
10
10
01
11
11
10
10
10
00
00
01
10
10
01
11
01
00
11
10
10
00
11
11
10
01
00
00
11
00
00
10
10
01
10
00
10
00
00
10
01
00
00
10
10
10
10
10
00
00
11
11
10
01
01
01
01
01
10
00
01
11
00
00
10
11
10
00
11
00
00
00
10
00
00
10
11
00
10
10
10
00
00
10
10
00
10
00
00
01
01
10
10
10
11
10
11
00
01
10
10
10
00
10
11
00
01
00
01
00
10
10
11
00
00
10
10
10
00
00
00
10
00
01
01
00
10
10
00
11
10
10
00
10
00
01
00
00
00
11
11
01
10
10
10
00
10
01
00
11
01
11
10
10
10
10
01
10
01
01
00
01
00
01
10
11
11
11
01
00
10
00
10
10
01
01
00
10
00
01
10
01
10
11
00
01
01
10
01
10
01
11
01
11
10
00
00
10
01
00
10
00
11
00
10
10
00
00
00
01
10
00
10
00
00
01
10
00
00
11
10
01
00
11
01
01
00
11
11
00
00
11
10
00
10
10
10
01
01
00
00
00
00
10
01
10
11
11
10
00
00
00
00
00
00
10
00
00
10
11
10
00
11
10
11
00
01
10
00
00
00
00
11
10
11
01
01
11
11
10
00
11
10
01
00
10
01
01
11
01
10
10
00
01
11
10
01
00
01
10
00
11
10
00
10
10
00
00
10
01
00
10
10
11
10
00
00
11
10
10
00
00
00
11
00
01
00
00
10
11
11
11
00
00
10
11
10
01
10
11
00
10
00
00
11
00
01
11
01
00
10
10
01
00
11
10
01
00
10
01
11
00
00
10
00
10
00
10
00
01
10
10
11
10
10
10
01
00
01
00
01
10
10
01
00
10
10
10
00
00
10
11
11
10
01
11
01
00
10
00
01
10
10
00
01
10
00
01
10
10
00
10
00
10
10
00
01
01
10
00
00
11
10
00
01
00
00
10
10
01
00
11
10
10
10
11
10
00
00
00
01
11
11
10
01
01
10
11
01
00
11
10
00
00
10
11
11
10
00
00
00
00
01
10
11
00
11
11
10
00
01
10
10
10
00
11
00
11
10
00
01
00
01
10
10
10
00
00
11
00
00
00
00
00
10
11
00
10
00
00
10
10
01
00
11
00
10
00
11
00
00
10
10
01
01
11
01
01
01
01
01
01
10
10
11
00
00
11
10
00
00
00
00
00
10
10
00
10
10
10
11
10
10
10
00
10
10
00
00
10
10
01
01
01
01
10
10
00
01
01
00
10
11
00
00
10
10
10
10
10
01
00
11
11
00
10
10
00
00
00
10
10
11
01
11
00
00
00
11
10
01
01
11
11
11
01
10
11
00
00
10
10
01
01
01
00
11
10
00
10
11
00
00
11
01
10
01
10
10
10
00
11
00
00
10
11
10
10
00
00
01
00
11
00
10
11
01
00
10
11
00
00
10
10
10
10
10
00
00
10
00
00
10
01
00
11
01
01
10
00
11
00
10
10
00
00
11
00
00
01
10
10
10
00
00
11
10
11
01
00
10
01
10
10
10
00
10
10
10
00
10
10
10
00
10
10
01
10
01
10
00
10
01
00
00
00
10
01
01
10
00
10
11
10
01
01
11
01
10
00
10
01
00
10
11
10
01
10
11
11
00
11
01
01
10
00
00
10
01
00
10
00
10
11
01
11
11
01
01
11
00
10
00
00
11
00
10
00
00
00
11
01
00
10
01
00
00
00
10
11
10
10
01
00
10
10
10
00
01
10
10
01
00
01
00
00
00
00
11
10
00
01
10
10
10
00
11
00
01
00
10
00
00
10
10
10
00
11
10
00
10
01
00
01
01
10
11
01
10
00
00
11
01
10
11
00
11
11
01
00
10
10
01
00
10
10
00
00
11
00
10
11
11
01
10
00
11
00
00
01
01
11
11
10
00
01
10
00
00
10
11
00
00
10
10
11
10
00
10
10
01
11
00
00
10
10
11
10
10
11
00
00
11
10
01
10
11
10
10
01
10
00
11
00
01
10
00
11
01
00
11
00
00
11
00
00
00
10
10
11
10
10
00
00
01
11
11
11
00
10
00
11
10
01
01
11
00
01
11
10
11
11
00
00
10
10
11
00
01
00
00
10
01
00
10
10
00
10
01
00
10
10
00
11
00
01
01
00
00
00
00
00
00
11
10
01
00
00
11
01
00
11
01
00
00
00
11
11
11
01
11
11
01
11
00
01
00
11
00
00
10
10
00
01
11
00
10
00
10
10
00
10
10
01
11
11
00
10
01
00
10
10
00
01
10
01
00
00
10
10
01
00
11
10
11
11
10
00
00
00
10
00
00
01
00
10
10
00
00
10
00
11
11
01
11
10
10
11
11
01
00
10
11
11
01
11
00
00
01
10
10
00
11
01
10
00
11
10
10
10
01
10
10
00
01
01
11
10
10
11
10
11
01
00
11
00
11
00
01
10
10
10
00
10
10
10
10
00
01
01
10
00
10
00
11
10
00
10
10
00
10
11
01
00
01
00
10
10
10
00
10
00
00
00
00
00
00
11
00
00
10
10
11
00
11
10
11
10
10
00
01
11
00
01
00
10
10
00
10
11
00
01
10
11
10
00
01
00
01
10
00
01
00
00
10
00
10
10
10
10
11
01
10
00
01
10
10
10
01
00
10
00
00
00
10
10
10
00
10
00
10
11
00
00
10
10
00
00
01
11
01
11
11
10
10
11
10
10
10
00
00
10
00
01
00
01
01
00
00
00
01
00
01
10
11
10
01
11
10
11
00
01
10
10
00
11
00
00
00
10
00
11
10
01
00
10
00
00
10
11
10
01
00
10
10
00
10
11
11
01
10
00
11
10
10
01
01
01
00
00
10
11
00
01
00
11
10
00
11
10
01
00
00
10
10
01
00
01
10
10
01
11
00
00
11
11
00
01
00
10
10
01
10
10
00
01
00
01
11
10
01
00
10
11
01
00
11
10
00
10
11
00
00
00
10
00
01
10
10
00
01
01
01
01
10
11
11
10
00
00
10
10
10
10
00
10
10
11
10
10
10
00
00
10
10
10
00
00
00
01
11
00
11
00
10
00
00
01
00
00
11
10
00
10
11
10
00
00
00
01
01
10
11
01
10
00
10
10
11
01
01
00
10
00
10
00
11
11
10
00
00
10
11
10
00
10
11
10
01
00
00
10
00
10
10
00
01
01
10
01
00
10
00
00
10
00
11
00
00
00
01
10
11
00
10
10
10
01
01
00
10
10
10
00
01
10
11
10
01
00
00
10
00
10
10
00
01
10
00
00
10
00
10
11
11
01
00
10
10
10
00
01
00
11
11
10
10
00
01
11
01
00
00
11
10
01
01
00
10
10
00
00
00
00
11
10
01
10
10
10
10
00
00
00
00
10
10
00
01
10
10
00
00
10
00
00
11
10
10
01
11
10
10
10
01
00
11
00
01
11
00
10
10
00
01
01
10
11
01
00
10
11
10
11
00
01
00
11
11
11
00
01
00
10
10
00
01
11
01
00
11
10
11
10
10
00
00
01
10
10
01
00
11
10
00
10
11
01
00
10
10
10
10
00
11
11
01
01
00
10
11
00
11
11
00
00
01
10
01
10
10
01
01
10
11
10
01
00
10
00
01
10
10
10
01
10
11
10
00
00
10
00
11
00
01
00
11
00
00
10
10
10
00
10
11
11
00
00
10
10
00
10
10
00
01
10
11
10
00
10
01
00
01
10
11
10
01
10
11
10
00
00
01
00
11
10
10
01
11
00
11
01
00
10
00
00
00
11
10
00
11
10
11
10
00
00
11
01
00
10
10
00
00
10
11
00
10
00
00
10
00
00
11
11
00
01
10
00
01
01
10
01
11
11
10
00
00
10
00
00
10
10
01
11
11
10
00
00
10
10
01
00
11
00
01
11
10
01
00
00
00
00
10
10
11
00
00
10
00
00
01
10
10
11
10
00
10
00
00
01
00
01
11
00
11
01
01
00
11
10
10
01
00
10
00
00
11
10
00
10
01
00
10
10
00
00
10
00
10
00
10
10
10
00
01
00
00
00
01
10
10
10
00
00
11
10
01
01
00
11
10
01
01
00
11
00
00
00
00
11
10
10
11
10
00
00
11
10
11
00
01
01
00
10
10
11
00
00
11
11
11
01
01
10
01
11
01
01
10
10
00
10
10
00
00
10
10
10
10
00
10
11
01
00
00
10
00
10
10
10
10
00
10
10
10
01
00
10
00
10
01
00
10
10
00
10
10
01
01
01
01
10
10
00
00
10
10
11
10
11
10
01
11
10
10
00
01
10
01
00
10
00
01
10
01
01
01
10
10
00
00
01
01
10
10
10
10
00
00
10
10
10
00
10
11
01
10
10
01
00
10
01
10
11
10
11
00
00
10
01
10
00
01
10
10
10
00
00
10
10
01
10
11
10
10
11
00
01
10
00
01
00
01
11
01
01
01
00
10
10
00
10
10
00
00
10
00
00
00
00
10
00
10
11
11
01
10
01
00
01
00
00
11
11
00
10
00
01
10
11
00
01
10
11
10
01
00
11
10
11
11
00
10
00
00
10
10
00
11
10
10
01
00
10
10
11
01
10
10
11
11
10
10
00
01
10
10
11
11
01
11
01
11
00
10
10
00
11
11
00
00
10
10
10
01
01
11
00
01
01
10
00
00
10
11
10
00
00
11
00
00
10
10
10
00
10
10
01
00
10
10
11
01
00
10
00
01
10
10
11
01
11
11
00
10
00
11
00
10
10
00
10
11
10
00
01
10
11
00
00
11
00
00
11
10
11
10
11
11
01
10
10
00
00
00
01
00
10
00
01
11
01
01
11
10
10
10
11
00
00
11
11
00
00
11
11
10
10
00
10
10
00
10
01
00
11
10
11
10
01
11
10
01
01
00
11
11
01
00
00
10
10
10
00
10
01
00
10
00
11
11
10
11
11
01
10
01
10
10
00
01
01
10
00
01
00
10
10
00
00
10
10
10
10
01
10
01
10
00
00
10
00
00
10
11
11
00
00
00
11
11
00
00
01
01
10
10
00
00
10
10
10
00
10
11
00
00
00
10
01
10
11
11
10
00
10
11
01
11
10
01
00
10
00
00
10
10
10
00
11
10
10
10
01
00
01
10
10
00
01
11
01
01
10
10
01
10
10
00
11
10
00
11
01
10
10
10
01
10
10
01
11
10
01
00
01
00
01
10
10
10
10
00
01
10
10
00
11
00
00
10
10
00
10
01
00
10
00
10
00
10
11
00
01
11
11
01
11
10
11
00
00
10
11
00
00
10
10
00
10
11
01
10
01
01
00
10
10
10
01
01
10
00
10
00
00
10
10
00
01
01
10
10
10
00
00
11
01
00
10
00
00
01
10
00
00
10
01
01
01
10
11
01
10
00
00
10
01
01
10
01
00
11
00
11
10
01
10
00
01
10
00
00
10
10
10
00
00
11
10
11
00
10
10
01
10
11
11
00
11
11
01
10
10
01
00
11
10
10
00
00
10
00
00
10
00
00
11
00
10
00
00
00
10
01
00
11
10
11
01
11
10
11
00
00
00
10
10
01
00
10
11
01
00
10
11
01
10
10
11
10
11
10
10
10
01
00
00
10
00
01
00
00
10
10
00
01
00
10
10
10
11
00
01
11
11
00
01
10
00
10
10
00
00
10
10
10
11
00
11
01
00
10
11
01
01
10
10
00
00
10
00
11
00
00
00
00
11
01
00
00
00
10
10
11
11
10
00
10
00
00
11
00
11
10
01
10
00
10
10
11
00
10
00
00
11
11
01
10
00
01
10
00
10
01
00
10
00
00
11
11
00
00
10
10
00
00
10
11
10
11
00
00
10
01
01
10
10
00
11
10
11
01
11
10
00
00
11
10
11
01
00
10
11
10
00
10
10
00
11
01
11
11
10
01
00
00
00
11
01
00
11
10
11
11
11
00
10
11
10
10
00
00
00
11
10
00
10
00
01
01
10
10
00
11
01
01
01
10
01
10
01
00
10
01
01
10
10
00
11
10
00
10
11
01
10
01
00
01
00
11
10
01
11
10
00
01
01
11
10
00
01
10
11
00
01
10
10
11
00
00
11
10
01
10
10
01
01
11
10
00
10
10
00
01
01
10
10
10
10
10
00
00
10
00
00
00
01
11
10
00
00
00
10
11
00
11
10
10
10
00
10
11
10
00
10
00
10
00
11
00
01
10
11
00
01
10
00
01
10
10
00
10
10
10
10
00
00
10
10
11
10
10
00
01
10
01
11
11
00
00
10
10
00
00
01
11
10
01
10
10
01
00
10
01
00
11
10
00
01
00
10
01
00
10
00
11
11
00
01
00
01
00
11
10
10
10
01
00
11
01
00
00
11
10
01
00
10
10
11
01
10
11
10
10
00
11
11
00
10
00
01
01
11
11
10
01
00
00
11
10
00
00
10
01
10
11
00
00
00
10
10
11
00
01
11
10
00
00
01
10
10
00
01
00
11
00
10
10
01
01
00
10
10
11
10
11
00
01
10
01
00
10
00
11
00
00
11
10
00
10
01
00
00
10
00
10
11
00
00
00
00
11
00
11
11
11
00
00
00
10
10
10
11
11
00
00
11
10
00
11
10
11
11
00
00
00
00
10
00
00
11
10
00
11
10
10
01
00
10
10
11
11
11
01
01
00
11
00
00
10
11
00
00
10
11
00
00
10
00
10
11
11
00
10
11
11
01
11
00
01
00
10
11
10
00
01
10
10
10
00
00
10
00
01
00
11
11
10
10
00
11
10
00
01
10
00
00
00
00
11
00
10
10
00
01
00
10
00
10
10
10
10
00
00
10
11
00
10
10
10
00
10
11
00
01
01
10
11
10
00
10
01
00
00
00
11
01
11
00
11
11
00
10
11
01
00
01
10
10
11
11
00
01
11
00
11
01
00
10
10
00
00
10
10
10
00
00
11
01
10
01
11
00
10
10
10
01
00
10
11
00
00
10
01
10
11
00
00
01
00
10
10
00
00
10
00
11
00
00
00
10
11
01
11
10
00
10
10
10
10
00
11
00
01
10
11
00
11
10
11
10
10
11
10
00
00
00
10
01
11
11
10
10
11
10
00
00
01
10
00
00
10
00
10
00
01
10
10
10
10
11
00
00
00
00
00
00
00
00
00
10
11
00
11
10
11
10
01
00
00
10
10
00
01
00
10
00
00
11
10
11
01
01
10
10
01
01
11
10
10
00
10
10
00
00
00
00
10
10
10
11
10
00
00
10
00
00
01
10
10
10
01
10
00
01
10
00
00
10
10
10
00
01
01
10
11
10
11
01
01
00
01
00
10
00
00
00
10
10
01
10
10
11
10
10
00
10
10
11
10
00
01
10
10
10
11
10
10
10
10
01
10
10
00
00
01
11
10
00
00
11
10
01
00
10
10
11
00
10
01
00
01
00
10
00
11
10
10
01
00
10
10
01
00
10
00
10
00
01
10
11
01
00
11
10
00
00
10
11
10
01
01
11
10
10
11
11
00
01
11
10
11
00
10
01
00
00
01
10
10
00
10
00
10
10
11
00
01
10
10
00
00
10
10
00
00
00
10
00
10
00
00
00
10
10
01
00
11
00
10
00
01
11
00
10
10
11
11
01
10
01
10
11
01
01
11
00
11
10
01
00
11
10
00
01
10
01
00
11
10
10
11
00
01
10
10
00
10
00
00
00
10
00
10
10
00
10
00
00
00
11
10
11
00
10
01
11
01
11
11
01
00
00
10
00
10
11
00
01
01
00
11
00
00
00
11
01
11
10
00
11
10
01
01
00
11
11
00
00
00
10
11
00
01
10
01
00
00
10
10
10
00
11
11
01
11
00
00
01
00
00
01
10
00
10
11
00
10
10
11
10
00
00
10
00
01
00
00
10
00
01
10
10
10
11
01
11
00
01
10
00
11
00
10
10
00
00
10
00
01
00
01
01
01
01
11
00
00
11
01
00
11
11
10
00
01
10
10
01
00
01
10
01
00
11
10
11
11
00
00
10
10
01
00
10
11
00
10
10
00
00
10
00
00
10
11
10
00
00
00
10
00
10
00
11
00
10
00
10
10
10
10
00
10
10
00
00
00
10
10
00
10
10
10
10
01
01
01
10
11
00
00
10
11
11
00
00
10
00
01
00
00
10
00
00
00
10
00
00
10
10
11
00
00
10
01
10
00
10
10
00
01
10
10
10
10
00
11
00
00
00
10
01
10
01
10
01
00
10
11
00
00
00
10
10
00
00
01
10
00
00
10
11
01
00
01
10
11
10
10
10
00
00
10
10
00
00
10
11
11
01
00
10
10
10
10
00
00
10
10
00
01
00
10
11
10
10
01
01
10
10
00
01
00
10
10
10
10
00
00
00
01
00
01
10
10
10
00
01
01
10
10
10
00
10
10
00
10
10
00
00
10
10
10
11
11
10
00
11
10
10
10
00
01
10
10
00
10
10
11
10
00
00
00
11
10
10
01
10
11
00
00
00
10
00
10
11
00
01
10
11
00
10
11
10
10
01
11
11
01
11
10
00
01
10
10
00
00
10
00
01
10
10
00
10
10
10
00
00
00
10
10
10
10
01
10
01
10
10
10
00
11
00
10
10
11
11
10
10
01
00
11
10
01
10
11
00
10
00
00
11
01
00
10
10
10
10
11
00
00
00
11
01
00
10
11
11
10
00
11
00
01
00
00
10
01
10
11
00
00
10
11
01
00
10
11
10
11
00
00
01
00
01
10
00
00
00
10
00
01
10
00
00
11
11
00
01
11
00
00
01
10
11
00
00
01
00
11
11
11
00
00
10
10
11
10
10
00
01
11
11
10
01
00
10
00
00
10
11
01
01
10
10
00
10
00
00
01
11
00
01
00
00
10
00
00
00
10
10
11
00
11
01
11
11
10
01
01
00
00
11
11
00
01
10
01
00
00
10
00
10
10
10
10
11
10
10
00
00
00
11
10
00
01
10
01
10
00
00
01
00
00
10
11
10
00
01
01
01
00
10
10
11
01
00
00
10
10
00
01
01
10
10
00
01
00
11
01
01
10
11
10
10
11
01
10
10
01
00
10
11
00
10
01
11
11
00
00
00
11
00
00
00
11
10
10
00
00
00
00
01
00
10
10
11
10
00
10
11
10
01
10
00
00
00
10
00
10
11
10
00
11
10
00
11
11
00
01
01
10
01
01
00
10
00
00
01
01
10
11
01
10
10
11
11
00
10
10
01
10
10
10
00
11
10
00
00
01
00
00
10
10
01
11
11
11
11
10
00
11
11
00
00
00
10
11
00
11
10
10
01
10
00
11
10
00
10
10
00
11
00
00
10
11
01
10
00
10
00
00
11
11
10
11
00
00
11
11
10
00
01
00
00
10
00
01
10
11
00
11
00
00
00
00
01
10
01
00
00
01
01
10
10
00
00
10
11
00
11
11
00
10
10
00
10
01
01
10
01
10
10
11
00
01
11
10
10
10
01
10
00
00
11
10
01
00
00
10
10
10
00
11
01
10
00
10
00
11
00
00
11
01
10
11
10
10
10
00
00
00
00
10
00
10
10
01
00
01
00
00
10
00
01
10
10
11
00
10
00
10
00
11
00
00
01
11
01
00
11
11
01
00
10
00
00
10
00
11
10
01
11
00
00
11
00
10
10
10
00
00
11
10
10
00
01
00
10
00
00
00
11
01
10
11
00
01
10
01
10
11
01
10
01
01
11
01
10
10
01
10
01
00
10
10
11
10
00
11
00
11
11
00
00
00
11
10
10
11
00
00
00
01
10
01
11
00
01
01
01
10
01
10
11
01
00
01
00
10
10
01
01
01
10
11
10
11
10
00
10
11
10
00
00
00
10
11
10
00
10
11
11
00
11
11
10
01
00
10
00
00
10
00
11
10
10
01
10
00
11
00
00
00
10
01
01
10
00
11
10
11
10
11
10
00
00
00
10
00
11
10
11
11
00
10
10
11
10
10
01
11
11
10
00
00
00
01
10
10
01
00
00
01
01
10
01
00
00
10
10
01
10
10
00
10
10
11
01
10
00
01
10
10
10
01
10
10
10
01
10
11
00
01
11
01
00
10
11
00
11
11
00
01
10
00
10
10
10
11
01
01
10
01
00
11
00
11
00
11
10
11
10
01
00
10
11
00
01
10
11
01
01
10
01
00
00
10
01
10
10
10
00
10
10
10
00
10
10
00
10
00
01
10
10
01
10
01
01
00
11
01
10
00
00
10
00
11
11
01
11
10
10
01
10
11
00
01
11
10
00
00
10
10
00
10
10
10
01
10
01
10
00
01
00
10
11
00
01
00
10
00
01
10
11
00
11
10
00
00
01
00
00
00
11
00
01
00
10
10
01
00
00
10
10
00
10
10
00
10
10
00
10
01
10
11
01
01
00
11
00
01
10
10
10
00
01
11
10
10
00
00
10
10
11
00
00
00
01
00
11
01
11
00
00
10
00
00
01
10
11
01
01
01
00
00
00
11
10
00
01
10
10
00
11
00
10
01
11
00
11
00
01
00
00
10
11
11
01
10
10
10
00
11
11
01
01
01
10
10
11
00
01
10
01
01
00
10
10
00
01
10
11
11
01
10
10
00
10
10
00
10
10
11
00
00
11
00
00
10
10
00
00
10
11
11
00
10
00
10
00
10
01
01
01
10
10
00
00
11
10
00
01
10
10
00
00
10
00
00
11
01
00
00
11
10
11
00
11
11
00
11
10
00
00
00
11
11
00
00
00
10
10
00
10
11
00
10
10
10
00
10
00
01
01
10
10
10
00
11
10
11
10
01
00
10
10
00
00
11
10
00
00
10
00
11
00
00
10
11
00
01
10
11
10
10
01
10
00
11
10
00
01
10
10
00
10
00
10
10
10
00
10
01
01
10
00
10
10
01
10
00
00
10
10
11
11
11
00
00
10
01
01
00
01
11
11
00
01
10
10
10
01
00
10
00
00
00
10
10
00
10
01
10
11
11
10
10
01
01
10
10
00
00
10
10
00
00
00
01
00
01
01
11
10
01
00
00
10
11
10
00
11
00
00
10
11
10
01
00
00
01
00
00
11
10
00
10
00
01
00
10
11
00
00
11
11
01
00
10
00
10
11
01
11
10
01
10
01
10
10
01
01
10
10
01
10
10
01
10
01
00
11
01
11
11
01
10
10
00
01
10
10
01
00
11
10
01
00
00
11
00
10
10
10
00
10
11
00
00
11
00
10
00
00
10
10
00
01
00
11
00
11
00
11
11
11
10
10
01
00
00
00
00
10
10
10
00
11
11
01
11
00
01
10
11
00
01
10
11
10
01
01
00
10
01
10
10
00
00
00
11
10
00
10
10
01
01
00
10
10
00
01
00
10
00
00
10
11
10
10
00
01
10
00
00
10
10
11
01
10
00
00
10
00
10
00
01
10
00
00
11
00
11
10
00
00
11
00
10
00
00
10
11
01
00
00
00
00
11
00
11
10
10
00
00
00
11
10
00
00
11
00
11
01
00
10
00
00
11
10
10
01
00
01
10
01
00
00
10
00
10
10
10
01
10
10
00
00
10
10
10
00
01
00
01
10
01
10
00
10
11
10
00
00
00
00
10
11
10
00
00
11
10
10
10
00
10
10
10
10
10
00
11
00
11
00
11
11
00
01
01
10
11
10
00
00
00
10
10
10
00
10
01
00
11
00
10
10
00
01
00
10
10
11
11
01
11
01
11
01
00
10
01
00
10
11
01
00
10
11
10
11
01
10
00
00
11
00
01
10
10
01
01
01
01
01
10
11
00
11
00
11
11
01
01
11
00
00
10
10
00
11
10
01
00
10
00
10
11
01
00
11
00
01
11
00
00
00
00
10
10
11
11
01
01
10
10
10
00
10
10
00
01
10
10
11
10
01
01
00
10
11
00
00
01
01
10
10
00
10
11
00
00
01
11
10
10
11
00
11
00
10
10
00
00
01
01
00
10
00
00
11
10
11
10
00
00
10
00
10
00
00
00
01
11
10
10
10
10
11
00
10
00
11
11
10
11
01
00
11
01
11
10
00
00
10
10
01
00
11
00
00
10
01
00
10
11
00
01
10
10
00
00
11
10
00
01
10
11
10
10
10
01
00
00
10
10
00
00
00
00
10
10
00
00
00
00
00
01
00
01
00
10
00
01
01
00
00
10
00
10
00
00
10
10
10
11
00
10
11
01
01
00
01
10
10
10
10
00
00
10
01
00
10
10
00
11
10
01
00
00
00
10
00
00
10
10
11
01
10
10
11
11
00
00
00
10
11
00
01
01
11
00
10
10
01
11
01
00
10
10
10
00
01
10
10
00
01
00
01
11
00
10
10
00
00
10
11
10
00
11
10
10
10
10
00
10
10
00
10
10
11
10
10
10
10
01
10
10
00
10
00
00
00
10
10
00
00
10
10
01
10
10
01
01
00
10
10
10
10
00
00
10
11
11
10
00
01
10
10
01
01
11
10
00
00
00
11
10
10
00
00
10
10
01
00
00
00
00
10
11
00
10
00
00
11
01
00
10
10
01
10
11
01
01
11
00
10
10
10
00
10
10
00
10
01
00
11
10
10
11
10
01
10
11
01
01
10
11
00
01
11
10
00
00
10
10
00
00
11
10
00
10
11
00
00
10
10
00
11
10
10
00
10
11
00
11
01
00
10
10
01
10
01
00
00
11
11
10
01
10
11
11
00
00
00
00
11
00
00
10
11
00
10
00
00
10
10
10
10
00
00
00
10
10
11
11
01
11
00
11
10
01
00
11
10
00
00
11
00
00
10
01
01
00
11
01
10
10
00
11
11
01
01
10
10
11
10
01
00
00
11
00
00
10
10
10
11
11
00
11
10
00
00
00
10
10
00
01
10
10
11
10
00
00
01
10
01
00
00
00
01
00
10
00
10
10
11
01
11
10
10
10
01
10
00
11
10
11
00
00
10
00
01
00
10
10
00
10
10
10
10
11
10
11
00
11
00
10
01
00
10
10
11
00
00
11
10
00
10
10
00
01
11
10
10
00
00
10
10
00
11
11
11
10
11
11
00
01
01
10
10
10
11
00
11
10
00
00
00
01
00
10
01
01
10
10
10
11
00
10
11
01
01
11
10
11
10
00
00
10
10
00
00
10
11
11
11
00
00
00
10
00
00
10
10
10
10
01
00
00
01
00
00
11
11
10
10
00
01
01
10
00
00
00
01
10
11
00
10
00
00
10
10
10
01
00
00
00
10
00
10
01
00
00
00
00
10
11
10
01
01
10
01
10
11
11
00
01
10
10
11
01
00
11
01
10
10
00
00
00
00
01
11
00
00
01
10
11
00
11
10
11
00
11
00
11
00
00
01
10
00
00
10
10
11
01
11
10
10
10
11
00
00
00
10
11
01
00
10
10
00
11
00
11
01
01
00
01
01
11
10
01
01
10
01
00
00
00
00
11
10
00
01
10
10
10
00
00
01
10
11
00
11
11
00
11
00
10
10
10
00
00
00
00
00
10
10
10
11
10
10
01
01
01
11
10
01
00
01
00
10
11
01
10
10
10
00
10
00
00
10
10
10
00
00
10
11
01
00
01
00
00
01
00
10
00
10
10
00
00
10
00
10
00
11
10
00
10
10
10
10
01
10
10
00
11
10
10
10
01
01
10
11
01
10
00
10
10
11
01
01
00
10
01
00
10
00
00
11
10
01
00
01
10
10
00
01
11
10
10
01
11
01
10
10
00
11
10
00
10
10
00
00
11
11
10
11
00
01
11
01
00
10
00
10
00
01
00
10
10
10
11
11
10
01
10
10
10
00
00
10
00
00
10
11
11
01
11
11
00
00
00
11
00
00
11
01
01
10
11
10
01
00
10
10
10
00
00
00
01
00
01
10
10
10
10
00
00
11
11
01
11
00
11
00
00
11
10
01
00
00
00
00
11
10
01
10
11
10
00
11
10
01
01
00
10
00
00
10
10
10
00
01
01
10
11
10
01
01
00
00
11
10
00
01
11
11
00
00
00
00
01
10
10
00
10
10
10
00
10
11
01
00
11
10
10
10
11
00
00
00
00
10
10
11
00
10
01
10
10
01
11
01
00
01
11
10
00
11
01
11
11
00
10
01
00
10
00
10
01
00
10
01
10
11
00
01
01
01
11
10
11
10
10
00
00
10
10
10
01
00
10
10
00
10
00
00
00
00
10
10
11
11
01
00
00
10
01
00
10
00
00
10
01
11
10
00
01
11
11
01
11
10
01
11
10
10
00
00
10
10
00
10
10
01
01
00
00
00
01
00
11
11
11
00
10
00
00
00
11
00
10
00
11
10
10
01
10
11
10
01
01
00
11
00
01
11
11
00
00
11
10
10
01
10
11
00
00
00
00
00
10
00
00
10
11
00
00
10
11
10
11
10
00
11
10
00
00
10
11
00
00
01
00
10
00
01
10
10
10
10
01
00
10
00
00
11
00
10
10
11
01
11
00
00
11
10
11
10
00
01
00
11
10
10
10
01
00
10
10
00
00
01
11
01
11
10
00
00
10
10
00
00
10
11
10
10
10
01
10
01
10
10
10
10
10
00
00
11
10
11
10
10
10
10
01
00
10
11
01
00
00
10
00
10
01
11
11
01
00
10
11
11
00
00
10
11
01
11
01
00
10
10
10
00
01
11
11
01
10
10
00
10
10
00
01
10
00
01
00
00
10
00
01
00
11
01
00
00
11
00
00
10
10
00
10
11
10
10
01
10
01
11
00
00
10
10
00
10
11
10
01
01
10
00
10
10
00
01
10
00
10
11
00
10
11
10
00
10
10
10
01
11
11
10
11
00
10
00
00
00
01
11
00
10
00
01
00
01
10
11
00
01
00
11
00
00
00
10
10
11
01
00
10
01
00
01
00
10
10
00
00
01
00
10
00
00
00
00
10
11
00
01
10
10
01
10
11
00
01
11
11
10
10
00
00
00
10
11
00
00
11
10
01
00
01
00
10
10
10
00
00
00
10
10
00
00
10
10
00
10
00
00
11
00
10
00
00
00
00
11
11
10
00
00
11
00
10
00
10
11
00
11
00
00
11
00
10
01
00
11
00
01
01
10
10
11
10
01
00
00
00
01
01
11
10
01
00
10
00
00
10
10
11
00
10
00
00
11
00
00
10
00
11
01
10
01
00
10
11
11
00
10
10
00
10
00
10
10
00
11
11
10
00
00
00
00
10
10
01
01
11
01
01
00
00
00
00
11
00
00
10
00
01
10
00
11
11
10
00
01
11
00
10
10
01
10
10
01
01
00
11
00
00
10
10
10
10
00
10
00
10
00
00
10
01
10
01
01
11
00
11
11
00
10
10
10
00
11
10
01
11
00
00
01
11
10
10
00
10
10
01
00
00
10
11
00
00
01
10
00
01
00
10
11
10
10
01
01
10
11
01
00
11
11
00
00
00
11
10
10
00
00
10
00
00
11
00
10
01
10
00
00
11
10
10
00
10
10
10
10
00
11
10
10
00
00
10
11
00
01
00
01
01
10
10
10
00
00
00
11
01
00
10
10
11
10
01
00
10
00
00
01
10
10
10
10
00
00
10
01
10
11
00
10
01
10
00
00
11
11
00
10
01
11
01
01
10
00
11
00
00
11
10
00
00
00
00
00
01
11
01
00
10
00
00
01
10
10
01
01
11
00
10
10
10
10
00
00
01
00
11
00
00
00
01
10
00
00
10
01
01
10
01
10
01
00
10
00
00
01
10
00
11
10
10
10
01
00
00
00
00
00
10
11
00
01
11
00
10
10
01
10
01
00
11
11
11
10
01
00
11
10
11
01
10
10
01
11
11
00
00
11
01
11
10
00
00
10
10
00
10
10
10
00
00
10
10
00
00
00
01
10
10
00
00
00
00
10
00
00
00
00
00
00
01
00
10
00
11
00
10
10
10
10
00
00
00
01
10
10
00
00
11
00
00
10
00
10
01
10
10
00
00
00
10
11
00
00
00
00
10
11
10
01
11
10
11
11
00
01
00
01
10
00
00
10
00
10
00
00
01
01
11
00
01
00
00
00
11
01
00
01
10
10
01
01
00
00
00
10
00
11
10
00
00
01
10
10
10
11
00
00
00
10
10
00
10
01
00
10
11
11
10
01
10
00
10
01
00
10
11
11
10
10
10
10
00
00
11
00
00
01
10
10
00
10
01
00
11
01
00
10
00
00
01
01
11
10
10
01
01
01
10
11
00
00
10
00
01
01
11
11
10
11
00
00
11
10
00
10
10
00
00
10
00
10
00
00
01
00
00
11
10
10
11
01
00
00
11
00
11
10
01
00
00
01
11
10
11
00
11
11
11
10
00
01
00
01
10
10
10
00
10
00
00
11
00
11
00
00
00
00
10
10
10
00
00
11
10
10
00
00
01
01
00
01
11
10
00
01
00
11
10
00
10
01
01
11
00
00
10
11
00
01
00
10
00
10
10
00
01
10
00
10
11
11
11
00
00
11
11
10
11
10
10
10
10
10
00
10
01
01
11
01
01
01
11
11
11
00
10
10
00
01
11
00
01
00
10
10
01
00
00
10
10
10
00
11
10
10
00
01
00
01
11
00
00
10
10
10
10
10
00
00
10
00
00
10
11
00
10
01
10
11
10
10
01
00
00
00
10
11
01
11
10
01
01
10
01
00
01
10
11
00
10
10
00
00
10
01
00
11
01
10
00
11
00
10
11
01
10
10
00
10
10
10
00
01
00
11
10
10
00
10
10
11
00
00
10
10
00
10
01
00
10
10
00
11
10
00
00
01
11
00
01
10
10
01
11
01
01
10
10
01
11
10
00
01
10
11
01
10
10
10
00
10
01
00
11
10
01
10
11
10
01
00
00
00
10
00
01
11
11
01
10
01
11
10
01
00
10
10
00
11
10
10
00
10
00
01
10
11
00
01
11
00
10
11
00
00
01
01
01
00
00
00
00
10
01
10
10
00
11
11
01
01
11
11
00
11
11
10
01
00
00
00
01
10
10
10
00
01
10
01
11
01
00
10
01
01
11
10
00
00
11
10
10
10
00
10
01
11
10
10
00
00
00
11
11
00
00
11
10
10
00
00
10
00
11
00
00
00
10
11
00
00
10
00
10
11
00
11
11
11
01
10
00
10
10
01
00
11
00
11
10
11
01
10
10
10
10
01
00
10
10
00
10
10
01
00
10
10
01
10
10
00
01
01
01
11
10
00
00
10
10
00
00
10
00
00
11
11
10
10
10
11
10
00
11
10
01
10
10
00
00
10
10
11
00
00
10
10
10
11
10
10
01
00
00
00
00
01
10
10
01
11
10
10
11
10
11
11
11
01
00
10
10
00
00
10
11
01
10
10
11
10
00
01
10
10
11
00
00
11
00
01
11
10
10
11
11
01
00
11
00
00
10
10
00
00
10
00
10
10
00
01
10
11
10
11
10
10
10
00
11
10
01
01
01
01
10
00
10
11
11
11
11
00
11
10
11
00
00
10
00
00
10
10
00
10
11
01
10
10
00
01
10
10
00
00
10
00
10
11
01
00
10
00
00
10
10
00
01
00
10
00
00
00
01
10
10
00
00
11
00
00
10
00
11
00
01
01
10
01
11
11
01
10
00
10
10
00
00
10
11
10
10
00
10
00
01
00
11
10
00
00
11
11
01
11
10
00
10
11
01
00
10
10
11
10
00
10
00
00
10
00
11
11
00
00
10
01
00
10
11
01
10
10
01
00
00
10
10
10
10
11
10
00
00
10
00
00
00
00
10
01
00
10
01
10
00
10
01
11
10
00
00
10
01
00
11
11
10
11
11
00
01
00
10
01
10
00
00
11
10
10
01
10
11
01
00
10
10
00
00
11
10
01
00
11
00
00
10
00
10
11
10
00
00
10
01
00
11
10
10
10
10
10
10
10
10
00
10
00
00
01
00
00
01
10
11
11
01
10
10
00
11
00
01
00
11
10
11
00
01
10
10
10
01
10
10
01
00
00
00
10
11
11
01
01
10
01
00
00
00
00
10
10
00
00
11
00
10
10
10
00
01
10
11
01
01
00
00
10
11
00
00
00
10
00
00
00
10
01
10
10
00
01
11
10
01
10
10
10
01
00
11
10
01
10
01
01
11
10
00
11
10
10
10
10
00
00
10
01
00
10
00
10
00
10
10
10
10
00
01
00
11
00
00
10
10
01
00
10
10
00
11
00
01
00
00
10
10
10
10
01
00
01
00
00
11
11
10
00
00
11
00
00
00
01
11
10
01
10
00
11
00
00
10
01
01
00
11
00
01
10
11
10
11
00
00
10
00
10
11
10
01
11
11
11
10
11
00
11
10
11
00
00
10
01
10
11
00
00
00
11
10
11
10
01
10
00
00
01
00
10
00
11
10
11
01
00
10
10
10
10
01
00
00
00
11
01
00
11
00
00
00
00
10
01
10
10
01
00
01
01
01
00
11
10
10
00
00
11
10
01
00
10
10
10
01
00
10
10
00
00
00
00
00
01
01
00
00
11
10
11
10
00
10
11
00
00
00
00
01
10
01
10
00
10
10
00
01
00
10
01
10
00
10
00
01
00
00
10
10
00
10
01
01
01
00
10
10
01
00
11
10
11
10
11
01
11
01
00
01
00
00
00
10
10
00
10
00
00
11
00
10
11
00
01
10
01
01
10
01
10
00
00
10
10
00
00
11
10
11
01
01
00
11
10
01
00
11
00
01
10
11
10
10
10
00
10
11
01
00
10
00
10
10
01
01
10
10
00
00
10
10
00
00
11
10
11
00
00
01
10
10
10
00
00
11
00
11
10
00
00
10
00
10
00
01
10
10
01
00
10
00
00
10
10
00
01
11
10
10
00
00
01
00
00
01
00
11
01
00
10
10
11
00
00
11
01
01
10
10
01
11
10
11
01
00
01
00
10
01
00
10
01
11
10
00
01
10
10
10
00
00
00
00
10
00
00
01
00
11
00
10
00
10
00
11
10
00
11
00
10
10
00
00
11
00
01
10
00
00
00
10
10
01
01
11
11
10
10
10
00
01
01
11
00
01
11
01
10
10
10
00
10
00
00
10
00
00
10
00
11
00
00
11
00
11
00
11
10
01
00
00
01
10
00
10
00
00
10
11
00
10
00
10
10
10
01
10
11
10
00
00
10
00
10
10
00
10
00
00
11
01
01
11
11
10
01
00
01
11
10
00
00
10
10
10
00
00
00
01
10
10
11
00
00
01
00
11
00
01
11
10
00
01
11
01
10
11
00
01
10
10
10
00
01
10
00
00
11
10
11
00
00
00
01
10
10
00
00
01
00
11
01
00
00
10
00
01
10
10
00
11
11
00
01
11
10
11
01
10
00
00
01
00
10
11
00
00
10
10
11
01
00
00
00
11
10
01
10
11
00
01
10
10
00
01
00
11
01
11
11
00
11
00
10
10
01
00
11
01
00
01
10
10
01
10
11
01
00
11
01
10
00
01
10
10
00
01
10
00
10
00
00
00
01
10
00
10
01
00
00
10
00
11
00
01
11
01
11
01
00
11
10
00
01
10
01
11
11
00
10
00
10
10
00
01
00
00
00
10
10
00
10
10
00
00
10
11
01
01
10
00
10
10
10
01
00
11
10
00
11
00
11
01
10
10
10
00
00
10
11
11
01
00
10
01
01
11
11
01
00
10
10
00
10
11
01
00
11
00
10
10
11
00
01
10
10
10
10
10
10
00
01
10
10
00
10
11
11
01
10
01
00
10
10
00
11
10
01
01
10
00
00
00
00
10
10
01
01
10
10
00
00
10
10
10
00
00
00
00
00
11
00
10
11
00
11
10
10
01
01
01
11
00
00
10
10
00
10
00
11
10
01
00
10
00
10
11
00
00
00
11
10
00
10
10
00
00
10
00
10
00
10
10
10
11
10
00
10
11
10
10
10
00
10
01
01
10
00
10
00
10
01
00
10
00
01
00
01
01
00
10
11
10
11
10
00
10
00
01
00
00
11
10
00
10
00
11
10
11
00
00
10
10
10
11
00
00
10
00
00
11
10
10
10
01
10
00
00
01
10
11
11
10
11
10
00
10
10
00
01
00
10
00
10
01
00
10
01
10
11
10
00
10
10
00
00
00
10
11
01
10
11
10
00
10
00
00
10
00
00
11
00
10
00
00
10
11
10
11
10
10
00
11
10
10
00
01
00
00
11
10
10
01
00
11
01
01
10
10
10
10
00
00
00
10
11
11
00
01
10
00
10
00
10
10
10
00
11
10
10
10
00
10
11
00
11
01
01
00
10
10
00
10
10
11
00
00
00
11
10
00
00
01
00
00
00
11
01
00
01
11
10
00
00
10
10
00
10
10
00
01
01
01
10
11
00
10
00
11
00
01
10
01
10
01
00
11
00
00
10
10
00
11
00
11
10
10
00
11
00
01
10
11
01
01
10
01
00
11
10
00
00
10
00
00
10
00
01
10
10
00
00
10
01
00
11
00
11
01
00
00
11
10
00
00
11
00
00
10
11
10
00
01
10
01
01
00
01
01
10
10
00
01
01
10
11
01
01
01
10
11
10
10
00
00
10
01
10
11
01
01
11
00
01
01
10
01
01
10
11
01
01
11
10
00
01
10
11
00
00
10
10
11
00
01
11
00
00
10
10
11
10
00
10
11
00
10
00
01
00
10
10
10
00
01
00
00
10
10
00
00
10
11
10
10
00
00
10
10
11
11
11
10
01
10
11
00
11
00
00
00
11
11
01
00
00
10
11
10
01
10
10
10
11
00
11
01
01
01
10
11
10
10
00
01
10
10
00
00
00
10
11
10
01
10
01
10
00
01
01
00
01
11
11
11
01
10
10
11
10
11
00
01
01
00
00
10
00
00
01
10
10
00
01
10
10
00
00
00
11
10
00
11
00
10
00
00
01
00
10
01
00
01
10
10
00
10
11
10
01
00
00
10
01
10
00
10
11
00
00
11
11
01
01
01
01
00
10
00
10
10
10
00
00
10
10
00
01
11
10
11
01
00
00
01
11
01
00
00
10
11
00
01
10
10
00
00
00
01
00
10
10
01
10
10
10
10
10
11
00
10
00
00
10
00
00
10
11
01
01
00
01
10
01
00
11
01
00
00
00
01
10
01
00
10
00
01
10
00
10
10
11
01
11
00
00
11
00
11
10
00
00
00
00
10
11
00
00
10
00
00
01
00
10
11
00
00
10
00
01
10
00
11
00
11
10
10
10
11
01
00
01
00
00
00
01
10
00
00
10
11
00
11
10
00
00
10
01
01
01
01
10
00
10
00
00
10
00
00
11
01
11
10
01
11
10
10
01
01
10
01
00
10
00
00
00
11
11
00
01
11
10
10
00
10
00
01
11
10
10
11
01
01
00
00
11
11
01
00
00
10
00
00
00
11
10
11
10
01
11
10
10
11
10
01
00
10
10
10
10
11
00
11
00
00
01
00
10
00
01
10
10
00
01
10
10
00
01
01
11
10
11
10
11
11
10
01
00
10
10
00
00
10
10
01
00
10
00
00
00
10
01
11
10
00
10
00
10
00
01
11
10
01
00
10
01
10
11
00
00
11
10
10
00
10
10
10
10
00
10
00
01
11
10
00
01
01
11
00
00
10
00
10
10
00
10
11
10
11
10
10
10
11
11
01
00
10
01
00
11
10
11
10
11
00
00
10
10
00
10
00
00
00
01
10
00
10
10
00
10
00
10
00
01
00
00
00
11
01
00
11
00
10
10
00
00
01
01
10
11
00
01
10
10
10
00
10
01
10
10
00
00
00
00
10
01
01
00
00
10
00
10
00
11
11
00
01
10
00
10
11
01
11
10
10
00
00
10
00
10
10
00
00
10
01
10
11
10
10
10
00
01
00
01
10
00
00
00
10
11
10
10
10
00
00
00
01
01
10
10
00
00
00
11
00
10
10
10
10
01
00
11
10
11
10
11
01
11
01
01
10
01
10
10
10
11
00
00
00
10
01
00
11
00
00
10
01
11
10
00
01
01
01
01
10
00
10
10
10
11
00
01
01
10
11
00
10
10
11
00
01
01
00
10
00
00
11
11
10
01
00
01
01
01
10
00
11
10
11
00
00
10
10
10
10
00
00
01
11
10
10
10
00
00
10
01
00
00
00
10
01
10
10
00
10
11
10
10
01
10
10
00
00
00
01
00
10
11
01
10
10
00
10
01
10
01
00
10
10
00
00
10
10
10
10
11
01
00
10
11
10
11
10
10
00
10
01
10
10
00
00
00
10
11
00
00
10
00
10
11
10
10
10
11
11
00
11
10
10
00
00
10
00
11
00
11
10
10
10
11
10
01
10
01
11
10
00
11
00
00
11
10
10
00
01
11
11
01
01
01
00
00
10
10
10
00
00
10
10
11
00
10
00
00
10
10
01
10
10
11
10
10
11
11
01
00
10
01
00
11
01
00
11
10
01
01
10
00
00
01
11
10
00
10
11
11
01
00
10
11
01
10
01
10
00
00
10
11
01
00
11
00
10
10
11
00
10
11
00
10
10
00
00
11
00
01
00
10
01
10
11
01
00
11
01
11
10
00
00
00
11
10
10
10
11
01
01
00
00
10
11
00
00
01
10
01
10
10
11
10
00
10
00
01
00
10
00
10
00
10
00
01
00
00
10
00
10
11
10
11
00
10
10
10
01
00
11
10
00
00
10
01
00
11
10
00
01
10
00
10
11
00
01
10
01
11
00
00
10
00
00
00
00
10
10
00
01
00
11
10
10
00
00
10
00
10
11
00
00
10
00
01
00
00
10
01
01
10
11
01
00
00
10
10
00
01
11
00
11
00
10
00
01
10
11
10
01
00
01
10
00
01
11
10
00
00
10
00
11
00
00
00
00
00
00
10
00
10
00
10
11
10
10
11
01
10
10
11
00
01
10
10
10
00
01
00
00
10
00
10
10
01
10
10
01
10
10
00
10
10
00
10
00
11
00
10
10
10
11
10
10
00
00
10
11
10
00
00
10
00
10
00
00
00
01
10
01
11
10
01
10
00
01
11
11
10
10
01
01
10
11
10
10
00
00
00
01
11
10
00
00
01
00
01
11
01
10
00
01
00
10
01
00
10
11
01
01
00
11
00
10
10
01
10
01
00
11
00
11
11
11
10
00
01
10
10
01
00
11
01
00
11
10
10
11
00
01
01
01
00
00
10
10
10
00
10
10
11
10
00
01
10
01
00
11
00
10
11
10
00
10
01
00
10
10
01
00
01
01
00
10
00
01
10
00
10
00
10
11
01
00
10
00
10
10
00
10
00
00
10
10
01
11
10
10
00
00
00
01
00
01
11
10
11
10
10
00
00
10
00
01
10
01
00
10
01
00
10
01
00
10
00
00
00
11
01
01
10
00
01
11
00
10
00
01
10
11
10
00
01
10
11
01
01
11
11
01
00
11
10
01
00
11
00
01
10
11
10
00
00
01
01
10
10
10
10
10
10
11
10
00
10
10
11
10
00
01
01
10
10
00
10
00
10
10
01
00
10
00
00
10
10
00
11
10
00
10
00
00
11
00
00
00
10
00
00
01
10
10
01
10
10
10
00
10
01
10
01
00
10
00
10
11
00
00
10
01
10
10
01
00
10
00
00
00
10
10
11
00
11
01
00
00
11
01
10
01
01
11
10
11
10
01
01
01
00
10
11
01
01
01
10
10
10
11
10
11
01
10
01
10
00
10
00
00
11
10
11
00
10
10
00
11
01
10
10
10
00
01
00
10
00
00
00
10
10
01
00
00
10
10
00
10
10
00
00
11
01
11
00
10
00
11
10
00
10
11
01
01
10
00
00
01
01
11
10
01
10
10
01
00
01
11
11
10
11
10
10
01
10
10
00
01
10
00
00
10
00
10
00
00
10
10
10
10
00
01
01
10
11
01
10
10
10
10
11
01
11
01
01
00
00
11
00
00
10
10
00
10
11
00
00
10
00
01
10
00
10
10
00
00
01
00
01
10
01
10
10
01
10
00
01
11
11
00
00
10
10
01
00
11
00
11
10
01
01
01
10
10
01
01
10
00
00
11
00
10
10
00
00
00
00
10
01
00
11
10
01
00
11
01
00
11
11
00
10
10
00
00
00
10
01
11
11
01
10
00
10
01
10
01
00
11
11
00
00
11
11
11
00
00
10
00
01
10
10
01
01
00
01
11
10
00
10
00
01
10
10
00
00
01
01
10
11
11
00
10
00
11
10
00
00
10
00
00
00
00
00
10
10
00
01
00
01
00
01
10
10
01
00
01
10
10
01
10
01
10
11
00
11
01
01
11
10
11
10
00
10
01
00
11
00
01
10
00
01
00
00
10
11
00
10
00
00
11
10
01
01
01
00
01
11
10
11
10
00
01
10
01
01
00
10
10
00
11
00
10
10
10
00
11
00
00
10
10
01
00
00
01
10
00
00
11
00
11
01
00
00
10
01
00
00
10
11
01
10
00
00
00
10
00
10
00
00
10
11
11
10
10
00
11
10
10
01
00
00
10
00
10
10
10
10
01
00
00
10
11
01
01
10
11
11
01
10
11
01
00
01
10
10
01
01
10
11
00
00
00
00
10
10
00
00
10
00
11
10
00
01
00
10
10
10
10
10
00
11
00
10
00
10
11
10
00
00
10
00
11
11
10
11
01
11
10
01
11
00
11
00
00
01
10
10
10
00
10
00
10
10
10
00
00
10
00
11
11
10
10
11
00
10
00
01
01
00
00
01
11
10
01
01
00
00
11
10
10
11
10
01
10
10
10
10
01
11
00
00
11
10
11
00
00
01
11
00
00
00
10
11
11
00
00
00
11
00
10
10
11
00
00
01
00
11
10
00
00
10
01
00
00
10
00
00
11
10
00
01
00
00
10
00
10
10
00
10
00
10
01
00
11
11
00
11
10
00
00
10
11
10
10
00
10
10
10
01
10
11
00
10
11
00
00
10
00
00
10
10
01
11
10
11
10
01
00
00
10
01
10
10
00
00
11
00
00
00
10
01
11
10
00
00
01
11
10
10
01
10
00
10
11
00
10
01
11
00
11
10
00
10
11
00
01
11
11
00
10
01
00
11
11
00
10
11
10
01
01
11
01
10
01
10
10
00
01
11
11
11
00
01
11
01
11
10
01
10
00
00
00
10
01
00
11
10
01
10
10
00
10
01
00
00
11
10
00
10
10
10
10
00
10
10
00
00
01
00
00
01
00
00
00
10
10
00
11
00
11
10
10
10
10
00
00
11
10
11
10
01
10
10
11
01
00
11
00
00
11
01
10
10
00
00
00
01
10
00
00
11
01
00
10
11
10
00
10
00
10
10
10
10
11
00
01
01
11
11
01
00
00
10
00
10
10
00
01
00
10
00
10
10
10
10
00
10
00
00
01
10
01
10
01
00
11
11
01
11
10
00
00
10
10
00
00
11
00
10
01
00
00
10
11
00
01
00
10
01
00
00
00
01
10
10
00
10
11
11
00
01
01
10
01
00
00
00
11
10
00
10
11
10
00
00
11
10
00
10
10
11
00
11
01
10
10
00
11
11
10
00
10
10
00
01
00
10
00
00
10
00
00
00
10
10
00
11
11
01
10
00
00
11
10
01
10
10
10
00
00
01
10
10
11
01
10
00
10
11
10
00
00
10
10
00
01
11
10
10
10
00
01
00
10
10
01
01
10
10
00
10
10
00
11
00
00
10
00
10
10
00
00
10
11
00
11
10
00
01
10
10
01
10
10
00
10
10
10
10
00
10
11
10
10
00
00
00
01
11
00
10
00
10
00
00
10
10
10
01
11
00
01
01
10
10
01
10
00
01
11
00
10
11
01
11
11
10
11
00
11
10
10
00
00
10
11
10
01
01
00
10
11
00
00
01
01
10
10
11
10
01
00
10
00
00
10
11
10
11
00
00
10
00
10
00
01
11
01
11
00
10
00
10
10
00
00
10
10
10
00
10
10
10
01
10
11
01
10
10
00
11
10
10
00
01
11
10
11
00
10
01
01
10
11
00
00
00
10
10
10
11
10
00
00
11
01
01
11
00
11
00
00
11
00
01
00
10
10
10
10
00
11
01
00
10
11
10
01
10
00
11
10
00
10
01
10
10
10
10
01
00
01
11
00
10
00
11
00
00
01
00
11
00
00
00
00
11
10
01
01
00
10
00
10
11
00
00
10
10
01
01
01
10
01
00
01
01
01
10
11
00
01
11
10
01
01
11
01
10
10
00
01
11
10
00
10
00
10
10
01
00
00
00
10
10
11
00
00
00
10
10
10
10
01
11
00
00
00
00
11
11
00
00
10
10
11
01
10
10
00
01
10
10
00
00
10
10
01
10
00
10
00
10
00
10
11
10
01
10
00
00
10
11
01
10
00
11
01
00
10
01
11
10
00
01
10
00
10
10
00
10
11
11
01
10
00
00
00
00
10
10
01
10
10
11
00
01
01
00
00
00
11
10
00
01
00
00
11
00
11
01
10
00
10
10
10
11
01
10
10
01
10
11
01
00
11
10
10
10
01
01
10
11
01
01
00
11
00
10
11
00
11
10
01
00
01
11
00
00
10
00
01
10
10
00
11
11
11
00
00
00
10
00
01
10
10
01
01
01
00
10
01
00
00
00
00
10
10
10
10
00
11
01
11
00
00
10
00
10
11
10
00
11
10
01
00
11
00
01
11
01
10
10
00
01
01
11
11
00
00
10
10
01
10
11
11
01
10
01
01
00
00
11
10
00
01
00
11
10
01
11
11
10
00
00
11
10
00
00
00
11
00
01
10
10
00
10
10
00
00
11
11
11
00
01
00
00
01
01
10
11
00
01
10
10
00
11
11
00
10
10
10
01
00
00
01
11
01
00
10
10
11
00
01
00
11
01
10
00
00
10
11
11
00
00
00
10
10
11
00
01
01
00
00
00
00
11
00
00
00
10
11
00
00
10
01
00
10
10
00
11
10
01
10
01
10
00
00
00
00
11
00
01
10
01
11
00
00
10
10
10
00
00
00
01
01
00
00
11
00
10
00
00
00
00
10
10
00
10
10
10
01
10
01
00
01
00
11
00
01
01
11
11
10
01
10
10
01
10
10
00
01
10
10
00
10
00
01
11
10
11
11
10
10
00
00
11
11
10
11
00
00
00
10
10
00
00
10
11
00
01
01
10
00
00
11
10
11
01
00
00
10
00
10
00
00
10
11
10
10
00
00
00
00
00
10
10
10
00
10
11
00
01
11
10
01
10
01
01
10
00
11
01
10
10
01
10
10
00
01
10
01
00
10
10
00
10
11
01
00
01
11
00
00
01
10
00
01
11
01
00
11
00
01
00
01
11
10
10
11
01
01
10
11
10
10
11
01
01
00
00
10
10
01
10
00
01
10
10
10
11
10
10
01
10
10
00
01
10
00
00
10
00
10
10
00
00
00
11
00
11
10
00
10
00
00
10
01
01
11
00
10
10
00
00
01
10
11
00
11
00
11
00
00
00
11
00
00
10
00
11
11
10
00
10
01
11
10
01
10
10
00
10
00
11
10
10
11
10
10
01
01
01
01
10
01
11
10
00
00
10
00
10
10
00
10
10
00
11
10
10
01
11
00
10
11
00
00
00
00
01
11
00
00
11
00
01
01
10
11
00
01
01
00
11
10
00
00
01
00
00
11
01
10
11
10
11
00
11
11
10
01
10
10
00
01
11
10
10
00
00
10
00
10
00
00
01
00
10
00
10
01
01
00
00
00
00
00
10
01
10
10
01
11
11
10
00
00
00
01
00
01
10
11
10
10
00
10
00
00
10
11
01
00
01
01
11
00
10
10
10
11
00
00
00
00
10
00
10
10
10
10
01
11
00
10
10
10
11
00
01
10
01
00
10
00
01
00
11
00
01
00
11
10
00
10
00
01
10
11
01
10
11
10
00
01
01
01
10
10
01
10
10
00
10
11
10
11
01
01
00
11
10
10
00
01
00
11
00
00
11
10
00
00
10
10
00
10
10
10
01
00
10
10
00
11
10
00
11
00
11
00
00
10
00
01
10
00
00
00
10
00
10
10
01
00
10
00
00
01
00
00
00
10
10
00
10
01
10
10
10
10
11
00
11
10
00
01
00
10
11
10
01
10
11
01
10
00
00
01
10
11
01
11
00
00
01
11
10
00
10
01
10
01
10
11
00
10
10
10
10
11
10
00
11
10
11
01
10
01
00
00
00
00
10
00
01
10
00
01
00
10
10
11
00
10
00
10
00
11
11
10
00
00
00
10
11
01
01
10
10
10
10
10
00
01
10
11
00
10
10
10
10
01
10
10
00
01
00
00
10
11
11
00
10
10
00
10
00
00
11
00
10
00
00
10
00
00
11
00
11
00
11
10
01
01
10
00
00
10
10
00
00
10
10
10
00
01
10
01
00
11
00
00
11
01
11
10
00
10
01
11
00
01
10
00
11
01
11
10
00
00
01
10
11
10
00
01
00
11
11
00
00
11
10
11
00
01
10
00
00
10
00
01
11
10
00
00
10
00
10
10
11
10
00
10
01
10
10
10
10
11
11
00
00
10
00
00
10
10
00
00
00
10
10
01
01
10
10
10
00
01
00
10
00
00
00
01
11
11
00
01
10
10
00
10
11
00
00
00
00
10
00
10
10
00
00
10
00
00
10
10
10
10
10
00
11
00
10
00
00
00
11
01
01
01
10
10
00
00
00
10
10
10
00
01
10
01
10
01
10
11
00
11
00
01
00
01
10
10
10
01
00
10
00
00
10
11
00
00
11
10
01
10
00
01
00
00
00
11
11
10
10
11
00
00
01
00
11
10
11
01
00
00
10
10
00
10
10
00
10
11
10
10
00
00
00
10
01
00
00
00
10
10
10
00
10
11
11
10
00
10
11
10
11
11
00
00
10
10
10
01
01
01
01
11
10
01
00
10
01
10
11
00
01
00
00
00
10
11
10
11
01
00
11
10
10
01
10
00
00
10
10
00
10
11
10
01
00
01
10
00
00
11
10
01
01
10
10
00
11
10
01
01
10
00
00
10
11
01
00
10
10
00
00
00
10
00
00
10
11
10
10
01
00
10
10
10
00
11
10
11
11
00
10
01
10
00
10
00
10
10
00
11
00
00
10
11
11
00
10
00
01
10
01
00
10
00
00
10
00
01
11
00
00
10
00
00
11
10
00
00
01
10
11
10
10
10
11
10
00
10
00
00
10
01
10
10
00
00
11
00
01
00
00
10
00
00
01
01
11
10
01
10
00
00
10
10
00
10
10
00
00
10
00
01
00
01
00
10
01
00
10
10
00
00
00
00
10
10
10
11
10
11
00
01
10
10
10
10
01
01
01
10
10
00
01
11
10
10
00
00
10
00
01
11
00
00
00
10
00
10
01
11
00
10
10
01
11
01
10
00
00
11
01
11
00
01
10
00
11
11
10
00
10
11
10
00
00
10
10
01
10
01
11
10
11
11
01
01
00
10
10
10
01
00
10
10
00
10
10
01
00
00
11
11
10
11
00
00
00
10
10
01
10
10
01
11
10
10
01
10
00
00
00
00
11
00
01
10
10
10
00
11
01
10
10
00
00
11
00
01
01
01
10
10
10
01
11
01
00
10
10
10
01
00
11
11
00
01
11
01
11
10
00
00
01
00
00
10
10
00
11
10
00
00
11
11
11
00
00
10
10
01
10
01
01
00
00
00
10
10
01
10
01
01
10
01
00
00
10
01
00
01
10
10
00
11
01
11
10
10
01
01
10
11
00
01
11
01
00
10
10
10
00
00
00
10
00
01
11
01
10
01
00
11
00
10
00
00
10
10
10
01
01
10
01
10
10
10
00
00
00
00
10
01
10
01
11
10
01
00
10
01
10
10
01
00
10
00
00
00
10
10
10
11
01
00
10
10
10
11
01
11
11
00
10
00
10
10
00
00
10
00
00
11
10
10
00
00
00
01
00
10
01
11
11
10
00
10
00
10
01
10
11
10
01
01
00
10
00
10
11
00
10
10
10
01
01
10
10
10
01
11
11
11
00
01
01
10
11
00
10
11
00
00
01
01
10
11
00
10
10
11
11
10
11
00
00
10
11
01
01
00
11
10
10
10
01
00
10
00
11
10
10
10
00
01
11
10
00
00
00
11
11
01
10
01
00
10
00
10
01
00
00
11
00
00
10
01
10
10
00
10
10
00
11
11
01
10
00
00
10
10
00
00
10
00
10
00
10
00
10
10
00
10
10
01
00
10
00
11
00
10
00
00
11
00
10
10
10
10
11
00
00
10
11
11
01
00
10
10
11
01
00
11
00
10
11
11
00
11
00
10
01
10
01
01
00
01
01
10
10
00
00
10
10
00
11
10
11
01
00
10
10
10
01
01
00
10
01
00
00
10
00
00
00
11
11
01
10
11
10
10
01
01
01
10
01
00
10
01
10
10
01
11
10
00
01
00
11
11
00
00
11
01
00
00
00
10
00
11
10
01
00
00
10
01
01
00
10
10
10
00
00
11
00
00
01
10
10
00
11
01
01
00
10
11
10
00
00
01
11
10
10
00
00
00
00
11
10
10
01
00
11
00
00
01
01
11
01
00
11
10
00
00
00
10
10
00
00
10
10
00
11
10
10
00
00
10
00
10
10
01
10
11
10
10
00
10
10
01
00
00
00
11
10
10
00
00
10
00
00
11
10
11
11
00
10
00
01
00
10
10
11
10
00
10
00
00
10
00
11
00
00
00
10
01
00
01
10
10
00
10
01
01
10
11
01
01
01
11
00
11
01
11
10
01
00
01
00
11
10
00
00
00
10
11
00
00
00
10
00
10
10
00
10
01
10
11
10
11
01
00
00
10
00
11
10
01
00
10
11
10
01
01
10
11
00
00
00
11
00
00
01
10
10
10
11
01
10
10
11
10
00
00
00
10
11
00
00
10
10
01
11
01
11
10
00
10
00
01
00
10
10
01
01
10
11
10
00
00
01
00
11
01
00
10
11
10
11
11
00
10
01
10
11
00
01
00
01
11
10
11
00
01
11
11
00
11
10
00
10
00
10
10
00
00
00
00
01
11
10
11
10
10
11
10
00
00
10
11
01
01
11
00
01
11
00
00
00
11
00
10
10
00
11
10
11
10
00
10
10
10
00
01
10
10
01
01
00
00
10
10
00
00
00
01
00
11
01
10
00
11
10
00
01
10
10
01
00
10
00
10
00
00
10
10
10
00
10
11
11
00
10
00
00
00
00
10
00
00
00
10
10
01
01
11
01
00
11
00
10
11
01
00
00
10
10
10
01
10
01
10
10
00
01
10
00
10
11
10
00
01
10
00
00
10
10
10
00
00
00
10
00
00
10
10
00
01
00
11
11
10
10
01
00
01
10
10
00
00
10
10
10
00
00
00
00
10
00
10
10
00
00
01
10
10
01
00
10
00
01
00
00
00
00
00
01
00
11
01
10
01
10
10
11
00
00
11
00
01
00
11
00
00
01
10
11
00
01
10
10
00
00
00
11
00
00
00
10
00
00
10
11
00
10
10
10
11
00
00
11
10
00
01
10
10
00
00
00
00
00
00
00
10
10
10
10
10
10
00
10
10
00
10
11
10
00
11
01
00
11
10
01
10
11
00
11
00
00
00
10
00
00
10
10
00
11
00
00
10
10
01
00
11
10
00
00
00
10
10
00
01
01
10
00
00
10
00
00
11
00
11
10
10
10
10
01
00
10
00
01
10
10
11
01
01
00
11
11
10
00
00
00
10
10
00
10
10
11
01
11
10
00
10
01
11
00
01
01
10
10
00
01
00
00
11
11
00
00
01
10
01
00
10
00
11
10
10
11
00
01
00
10
10
11
11
00
10
11
10
11
00
00
10
00
10
00
00
01
00
11
10
10
00
10
00
10
10
01
10
11
10
00
01
10
11
10
01
01
00
01
10
00
00
11
10
10
11
01
11
10
10
01
00
00
00
11
10
01
00
10
00
00
11
00
10
01
01
11
10
11
00
11
10
10
11
01
10
00
10
10
01
01
00
10
01
00
10
10
00
01
00
10
10
00
10
10
01
11
11
11
10
11
10
11
10
10
00
00
00
11
00
01
11
00
10
10
10
01
00
00
01
10
00
11
10
10
10
01
01
10
00
01
00
00
11
10
01
00
00
10
00
00
10
10
10
00
10
10
11
10
10
10
10
10
11
11
00
10
10
10
01
01
10
00
01
11
00
01
10
00
00
01
10
10
01
00
01
11
10
11
10
00
00
10
00
10
00
11
10
01
10
00
00
00
00
11
10
11
10
01
10
01
11
10
00
11
10
00
01
00
00
10
01
10
10
00
01
00
01
00
00
01
00
00
10
00
11
10
10
10
10
00
00
11
10
00
11
10
00
11
00
10
10
00
00
10
10
00
01
01
11
10
00
01
10
00
01
11
11
10
00
01
10
01
00
01
11
11
10
10
00
01
01
10
11
00
01
01
11
10
10
00
10
10
00
00
10
01
10
01
00
01
10
01
00
10
00
11
11
00
00
00
00
01
00
10
00
10
00
00
10
11
11
10
00
01
00
10
10
00
11
10
00
10
10
01
01
00
10
00
10
01
00
10
10
00
01
10
00
00
00
11
10
00
01
01
10
10
11
00
01
11
10
01
01
11
10
01
01
01
10
11
01
11
10
01
10
11
00
00
10
10
01
01
10
11
01
00
11
10
10
10
00
00
00
10
10
10
10
00
10
01
00
01
00
11
10
00
11
10
11
00
00
10
10
10
01
11
10
00
11
00
10
10
00
00
11
11
00
00
10
00
10
00
00
10
10
10
00
00
10
10
10
11
11
01
00
11
00
00
00
11
00
00
00
10
11
01
11
00
01
01
11
01
01
10
00
00
11
00
00
00
10
10
11
11
00
00
01
10
11
01
01
00
10
10
10
00
10
10
00
10
10
10
00
10
00
11
00
11
01
11
00
10
10
01
10
10
00
01
11
10
00
10
01
00
00
10
10
01
00
00
00
10
00
10
10
11
11
10
00
00
11
10
10
00
01
11
00
10
00
00
11
00
11
10
00
00
11
00
10
00
10
10
11
00
00
10
10
10
11
11
10
00
01
00
01
10
10
00
01
10
11
01
10
01
00
10
00
01
10
00
01
10
10
10
11
10
11
00
00
11
10
10
00
10
11
00
10
10
11
00
10
01
01
00
01
01
11
10
00
00
00
01
10
11
00
01
01
10
00
01
00
11
00
00
00
10
11
10
10
10
11
01
10
01
11
11
10
01
00
01
10
11
11
10
10
01
11
11
10
11
00
01
11
10
00
01
10
10
01
10
10
00
00
10
01
10
01
00
01
01
00
00
01
10
10
00
00
11
11
11
10
01
00
01
10
11
01
01
10
10
00
10
11
00
01
00
01
00
10
00
01
11
11
10
00
00
00
01
11
11
01
01
00
01
00
10
00
00
10
11
00
01
01
10
11
10
01
00
10
00
01
10
01
00
01
00
01
00
10
00
11
11
00
10
00
10
00
00
00
11
10
10
11
01
00
00
00
11
10
10
10
10
01
00
01
10
11
10
01
10
00
11
10
11
10
01
00
10
00
10
10
00
00
10
00
00
00
10
00
11
00
00
01
00
11
01
01
11
10
10
01
00
00
01
00
10
01
10
10
00
10
11
00
10
10
00
11
01
01
10
00
10
10
00
10
01
01
00
00
10
00
00
00
10
10
00
11
01
10
00
10
00
01
00
01
00
11
00
10
00
10
01
01
00
10
11
01
00
00
00
10
01
00
10
00
10
10
01
00
00
00
11
00
00
00
11
10
01
10
00
11
00
11
10
10
00
00
10
10
10
00
00
01
00
00
00
00
10
00
00
10
01
01
00
10
10
10
10
10
01
00
10
00
10
01
00
00
10
10
00
11
00
00
10
10
01
00
11
10
10
01
10
11
01
00
10
00
00
10
10
00
10
00
00
10
11
01
00
00
00
00
11
11
10
11
00
01
01
10
00
01
11
10
00
10
01
11
10
00
11
11
10
10
10
00
10
10
00
11
10
00
10
11
01
10
00
00
00
11
00
11
10
11
00
00
01
00
01
11
00
00
00
10
11
01
10
01
01
01
00
10
00
00
11
00
00
11
10
10
01
10
11
11
10
01
01
10
00
10
01
10
01
00
10
00
10
00
00
01
10
10
10
01
00
00
10
11
11
01
11
10
11
10
01
01
10
10
01
00
11
10
01
00
10
10
10
00
00
10
10
11
01
11
10
11
11
00
00
00
10
00
00
01
10
00
10
00
00
00
00
10
01
01
10
00
11
11
00
10
00
00
11
00
10
10
11
01
11
00
11
11
11
00
11
01
01
11
10
10
00
10
00
10
10
01
01
00
00
10
00
10
00
00
01
10
10
10
10
00
00
10
00
11
10
00
10
10
10
11
10
00
01
10
10
10
11
00
00
10
01
10
01
01
10
00
10
01
11
10
00
01
00
11
11
10
11
01
01
00
00
11
10
10
00
00
11
11
00
11
10
01
11
10
00
00
11
00
11
10
10
10
01
10
10
10
00
10
11
10
10
10
00
11
01
00
01
10
10
11
10
01
01
10
11
00
01
11
00
00
10
10
11
00
11
00
10
10
00
11
11
10
01
10
10
10
01
00
11
10
11
11
00
10
01
00
10
10
00
10
11
11
00
11
10
01
00
00
11
01
10
10
11
00
10
11
00
10
11
10
00
00
10
10
10
11
01
01
01
01
10
10
10
00
00
00
10
10
00
00
10
10
10
01
01
01
00
01
10
10
01
11
01
01
00
00
00
11
10
11
01
01
00
10
10
01
00
11
10
00
10
10
11
10
00
00
00
00
10
10
00
10
00
00
10
00
11
00
10
01
00
11
11
00
11
00
11
00
10
11
10
10
01
00
10
00
00
10
10
00
00
10
00
10
10
00
00
11
01
00
10
01
00
01
10
00
11
00
00
10
10
01
10
00
11
00
00
11
10
01
11
10
10
00
01
10
10
01
11
00
10
11
10
11
00
10
01
00
10
10
10
10
00
01
01
10
00
11
00
10
10
11
00
00
10
00
10
00
01
00
01
00
00
10
01
10
10
10
00
01
10
10
01
01
11
00
01
11
11
10
10
10
00
01
10
10
00
01
10
00
10
00
00
10
11
00
11
00
00
01
10
11
10
10
00
10
10
01
00
11
00
01
01
10
10
00
01
10
01
01
11
10
00
00
01
01
10
10
00
00
10
11
11
00
00
11
10
10
10
10
01
10
10
00
11
00
01
10
10
11
10
10
01
10
01
10
10
11
00
00
10
10
00
01
10
00
01
11
10
10
10
10
01
01
10
00
10
10
00
00
00
10
11
00
10
01
01
10
00
00
11
01
11
10
11
01
10
11
00
01
11
11
01
01
11
11
00
00
10
10
00
11
10
01
00
00
10
01
10
00
10
10
00
00
10
10
10
00
00
11
00
00
10
00
00
00
10
10
00
00
00
00
00
00
10
11
00
00
10
10
00
01
00
01
11
00
10
01
00
11
10
00
10
10
10
10
00
01
01
00
01
11
00
10
10
01
11
01
01
11
10
11
01
00
10
00
00
10
10
10
00
11
11
10
00
01
00
00
11
10
10
00
00
01
00
10
10
10
00
00
10
01
00
10
10
00
00
11
00
00
00
11
10
10
00
00
11
01
10
10
00
10
10
10
00
00
01
11
00
01
11
00
10
10
00
01
10
10
00
00
10
11
00
10
10
00
00
00
01
10
10
00
10
10
10
01
01
10
11
10
10
10
10
01
10
10
00
10
00
01
00
01
01
10
11
10
11
10
01
11
10
10
00
01
11
00
11
00
00
00
10
10
10
00
01
00
11
11
00
10
10
00
10
11
01
00
01
00
11
00
00
11
11
00
01
11
10
01
00
01
11
11
00
10
10
00
00
10
10
10
10
01
00
01
10
10
00
00
11
01
00
10
11
10
10
00
00
10
01
10
00
00
10
10
00
00
10
11
11
01
00
10
10
01
00
10
10
01
11
00
00
10
10
01
01
00
10
00
10
00
00
10
00
10
01
00
00
11
00
11
11
11
11
01
01
00
10
00
10
00
10
11
10
10
00
10
00
00
11
01
11
10
11
10
11
10
10
01
10
00
10
10
00
00
00
10
00
00
11
00
10
10
11
10
10
00
00
10
00
10
11
11
10
01
10
11
00
01
10
01
10
00
10
10
00
00
01
10
00
00
10
01
01
01
10
00
00
10
00
10
00
01
00
10
10
10
00
01
11
00
10
11
00
01
00
00
11
00
01
10
01
10
11
11
00
00
11
11
10
01
00
00
11
10
10
00
11
10
10
01
00
00
00
00
10
11
01
00
10
01
11
00
01
11
11
01
00
10
10
00
00
10
00
00
10
11
01
01
11
10
10
10
11
11
11
00
00
10
10
00
11
01
01
10
00
11
11
00
01
10
11
01
10
00
10
10
00
00
10
00
11
00
10
10
00
10
01
00
10
00
11
10
10
01
00
10
11
10
00
10
11
11
00
00
10
10
11
10
01
10
11
00
01
10
10
10
00
10
00
11
10
11
10
10
11
11
00
10
11
11
10
10
10
00
00
11
01
00
00
11
00
01
10
00
00
11
10
11
10
00
01
01
11
00
10
10
00
10
00
10
00
01
10
10
01
10
00
10
00
10
00
11
10
00
00
00
11
10
01
00
10
00
01
11
10
11
10
01
00
00
01
11
10
01
01
10
01
10
10
10
00
00
01
10
10
10
00
11
00
01
11
10
00
01
00
10
11
01
01
10
10
11
10
10
11
00
00
01
10
00
00
11
11
11
01
01
01
10
11
00
10
10
10
00
10
11
01
00
10
10
10
00
00
10
01
10
10
10
00
01
10
10
00
10
00
01
10
10
00
01
11
11
10
10
01
00
01
01
00
00
11
00
11
11
00
00
01
00
11
10
00
10
11
10
00
01
00
11
10
01
10
10
00
00
00
01
10
10
01
10
10
01
10
01
01
01
10
01
00
11
11
00
10
10
00
01
10
11
10
10
10
01
00
00
10
10
00
00
01
11
11
01
10
00
10
01
10
11
01
00
11
10
00
00
10
10
10
01
00
01
10
00
01
01
11
10
10
00
11
10
00
10
10
10
01
00
10
10
00
01
10
00
10
10
10
10
10
01
00
10
01
10
00
10
10
00
00
00
11
00
10
00
01
10
01
01
10
10
11
01
00
00
10
00
01
00
10
01
00
10
10
10
00
11
00
01
10
10
00
00
00
10
00
00
01
10
10
00
10
10
00
00
10
10
11
00
01
00
11
00
00
00
11
10
10
01
00
01
10
11
01
10
10
00
10
00
00
10
10
10
11
00
00
01
10
00
10
10
00
01
10
01
11
00
10
10
00
11
10
00
10
10
00
01
10
10
11
10
01
01
11
01
01
01
10
00
00
11
11
10
01
11
10
01
01
01
10
00
01
10
01
10
10
10
00
01
01
01
11
10
10
01
01
11
10
00
01
00
10
00
00
11
00
10
10
01
00
00
11
10
00
10
00
10
00
00
11
00
01
00
00
11
00
01
11
01
00
11
10
10
00
01
10
00
00
10
10
00
00
11
00
00
11
00
01
11
10
10
10
01
01
10
10
11
10
00
11
10
01
00
01
11
01
10
10
00
00
11
10
00
00
00
00
11
00
10
10
10
10
00
11
00
11
00
00
01
10
11
10
00
10
10
10
11
01
00
00
10
10
01
00
10
01
01
00
11
01
11
10
00
11
10
10
01
10
00
10
11
00
11
00
00
00
00
11
01
10
11
10
01
10
10
00
00
10
00
10
10
10
10
10
00
00
10
00
10
00
11
00
11
10
00
01
00
00
11
00
11
00
01
01
01
01
10
11
10
10
01
01
10
10
11
11
00
10
10
10
01
00
01
00
10
01
10
10
11
00
01
11
11
11
01
10
00
10
10
00
00
10
10
00
10
01
00
11
00
10
01
11
11
00
00
10
10
00
11
00
10
11
10
10
11
01
00
11
01
00
10
01
10
00
00
10
00
10
10
00
00
10
10
01
10
01
00
10
00
10
01
01
11
00
00
11
10
00
10
11
00
01
11
10
01
10
10
01
10
11
00
01
11
01
00
00
01
10
10
00
00
11
11
01
10
00
10
10
00
01
11
11
01
00
00
00
11
01
01
10
10
00
11
01
00
10
11
01
01
00
10
01
11
10
01
00
11
10
00
01
10
11
00
10
10
01
01
10
11
00
00
10
10
00
00
00
01
10
10
01
01
10
10
00
00
00
10
10
00
10
10
01
00
00
00
11
10
00
01
10
01
10
00
00
00
00
10
00
00
10
10
10
00
10
10
00
00
01
10
11
00
00
00
10
10
10
11
01
00
10
01
01
00
00
10
11
00
11
00
01
11
00
10
10
10
01
00
10
01
10
11
01
01
11
11
11
00
10
10
10
00
00
10
10
01
10
01
00
10
10
01
00
10
00
00
10
00
10
10
01
00
00
11
10
10
00
01
10
00
01
10
10
01
01
00
00
10
11
01
01
01
00
00
10
10
01
00
10
10
10
11
01
10
00
10
10
01
00
10
10
00
10
10
11
01
01
01
00
10
11
00
00
00
10
00
00
11
10
00
11
10
00
00
11
10
00
10
10
10
10
00
00
10
10
01
10
11
00
10
11
11
00
10
01
10
10
00
00
10
11
00
01
11
11
00
10
10
00
00
10
10
10
11
01
11
11
00
00
10
10
01
00
00
10
10
10
01
00
00
00
00
10
10
01
11
00
01
10
10
10
11
00
00
00
10
00
10
10
10
01
00
01
10
00
00
10
10
00
00
10
01
00
10
01
10
10
11
00
10
01
11
10
10
00
00
11
10
00
00
10
11
01
00
10
10
00
00
10
10
00
00
00
10
01
00
10
10
10
00
00
10
00
00
10
10
10
11
00
01
01
11
10
01
00
10
11
00
00
00
10
10
00
00
10
10
11
00
01
11
10
10
11
00
11
10
01
01
01
10
10
10
00
00
10
10
00
11
10
10
01
00
00
00
11
00
00
01
11
10
00
00
10
10
00
11
10
00
00
10
10
00
11
10
00
01
00
01
10
10
00
00
11
10
11
01
11
11
10
00
00
11
10
01
01
10
01
11
11
01
01
00
10
10
00
01
11
10
01
10
00
00
11
11
10
11
10
00
01
10
00
01
10
11
01
01
10
01
10
10
00
00
00
01
01
11
00
01
11
10
11
01
00
00
01
10
01
11
11
00
00
00
01
00
10
11
01
01
11
00
11
10
00
00
01
10
10
00
01
00
10
01
00
00
11
10
11
01
00
11
00
11
10
01
01
01
11
10
00
01
00
10
00
00
10
11
11
00
10
00
00
11
00
10
10
00
00
01
01
00
00
10
00
10
00
01
11
11
00
10
00
00
00
00
10
01
00
01
10
10
11
10
10
00
01
00
00
00
11
10
00
11
00
10
10
00
01
10
10
10
10
11
10
00
00
00
10
10
10
10
11
00
00
00
10
00
11
11
00
10
00
10
10
01
10
00
10
00
01
01
00
10
00
10
10
01
10
10
00
00
00
00
10
00
10
00
01
01
01
10
10
00
00
01
11
10
00
00
10
00
00
10
00
10
01
00
00
10
10
10
10
00
00
01
11
00
00
00
01
10
01
00
00
10
10
11
11
10
00
11
11
10
10
01
01
11
11
10
00
01
00
10
01
00
10
11
11
01
10
10
00
00
00
00
11
00
00
10
10
00
00
01
00
00
10
01
10
10
11
11
01
00
00
10
00
00
01
00
11
00
00
10
00
00
00
00
10
11
10
00
01
10
11
11
00
10
10
00
01
10
11
00
01
01
10
11
00
10
10
00
01
00
10
10
00
11
00
11
11
00
01
01
00
10
10
11
01
01
01
11
01
00
10
00
10
01
00
10
10
10
11
10
10
10
00
10
00
00
10
10
00
10
00
00
00
10
00
00
00
11
11
00
11
11
00
00
00
10
00
10
10
10
00
01
01
01
01
01
11
00
11
10
01
00
10
10
00
00
11
01
01
00
11
11
11
00
10
10
10
11
00
00
00
10
10
10
01
00
10
00
01
11
00
10
11
10
00
10
10
10
10
00
00
10
01
11
10
00
10
10
10
00
01
00
00
11
00
10
01
01
00
10
10
00
01
11
10
00
10
10
11
10
01
10
01
01
10
00
01
00
11
00
10
00
00
00
10
10
00
10
00
01
10
10
00
00
11
10
10
00
11
00
01
10
00
10
00
10
10
00
00
00
10
00
00
00
10
01
00
10
10
01
00
10
10
10
00
10
00
11
00
11
11
01
10
01
10
10
00
00
01
11
10
00
10
10
11
11
01
00
01
10
10
11
00
00
10
10
10
10
01
01
01
10
00
11
00
10
11
01
10
01
00
01
00
01
00
10
10
01
11
11
00
11
11
11
00
00
00
10
10
00
01
00
11
00
11
11
10
10
11
10
00
00
10
00
11
11
00
10
00
01
00
10
10
00
00
01
10
00
00
00
00
00
01
10
11
00
00
11
01
00
00
10
10
00
11
10
11
10
10
00
10
00
11
00
10
00
10
01
00
11
10
10
10
10
10
11
00
00
11
10
11
00
10
00
00
11
11
01
00
10
10
10
10
00
00
00
11
10
10
01
10
11
00
00
10
11
00
11
10
01
10
11
01
11
11
10
11
01
01
01
10
00
01
10
11
10
01
11
10
10
00
10
10
10
11
01
00
10
00
11
10
01
10
10
00
10
10
10
10
00
00
01
01
11
00
00
10
00
10
11
00
01
00
10
10
01
00
10
10
01
10
10
11
01
00
01
01
10
10
00
10
10
00
10
00
01
11
00
01
10
11
00
00
11
00
11
00
11
10
01
00
01
11
11
10
00
00
10
10
00
01
10
00
00
11
10
10
10
01
00
01
11
10
11
00
00
10
01
11
00
01
10
10
11
01
01
10
10
00
00
01
01
11
01
01
10
00
10
10
10
11
10
01
00
00
10
11
10
11
00
00
10
10
00
10
10
00
00
10
11
11
10
11
10
00
01
01
00
10
11
01
00
00
10
00
01
00
11
11
10
01
11
10
00
11
10
10
01
01
10
11
01
10
10
01
00
01
10
11
10
10
00
00
10
00
00
10
00
10
10
10
00
00
01
10
10
10
10
01
00
00
10
01
00
00
01
00
11
10
10
01
10
01
10
10
00
00
00
10
10
01
01
11
10
10
00
10
11
10
11
01
00
10
10
00
01
00
01
10
01
01
01
00
11
10
01
10
01
10
01
11
10
00
00
10
10
00
00
11
01
00
10
00
10
10
10
00
00
01
11
00
10
11
01
10
10
10
11
11
00
01
01
00
11
00
10
10
11
01
01
11
11
10
00
01
11
01
00
01
10
11
00
11
11
01
01
11
01
00
10
10
01
01
10
10
10
00
11
00
00
10
10
00
01
00
01
11
10
10
00
00
11
10
00
00
00
10
01
00
10
10
00
01
00
10
00
00
01
10
00
01
10
10
01
10
10
00
10
00
01
10
11
00
10
00
10
00
00
10
00
11
10
11
01
00
10
00
11
00
10
11
00
10
11
10
00
10
10
01
00
11
10
10
01
00
10
10
00
00
01
11
10
01
00
11
00
00
10
10
00
00
00
00
10
00
11
00
00
01
00
10
10
10
00
00
01
10
11
00
10
00
10
10
10
00
00
00
00
10
00
11
10
01
00
00
00
11
11
00
01
11
11
00
10
10
01
00
01
11
11
00
10
01
01
10
10
00
11
10
01
11
11
00
11
10
00
00
11
10
00
00
11
10
00
10
00
01
11
00
10
00
01
01
01
00
11
10
00
00
10
10
11
10
00
00
10
00
00
11
11
00
10
11
10
01
10
01
10
10
00
01
00
11
01
01
01
10
11
10
10
11
00
00
11
10
00
10
00
01
01
00
10
10
10
00
00
11
00
10
00
00
11
10
01
01
00
01
10
11
01
11
11
01
00
10
00
01
00
11
11
00
00
10
11
11
01
01
10
00
11
00
01
10
10
10
01
01
01
11
10
00
00
10
10
01
00
10
11
10
11
00
00
10
10
00
11
11
01
01
00
11
00
00
10
00
01
10
00
10
10
01
10
10
00
00
10
10
00
11
00
10
10
11
01
01
10
00
00
00
00
10
10
01
11
00
10
00
00
10
01
00
10
00
10
11
10
00
00
01
10
10
11
01
00
10
00
01
10
00
01
10
11
00
11
11
00
11
00
11
10
01
10
00
10
11
11
11
10
10
11
01
10
11
00
01
11
00
11
00
11
11
10
10
00
00
10
00
01
10
01
11
00
00
00
11
00
10
11
10
01
00
11
00
01
00
00
10
10
10
00
00
10
01
11
00
11
11
10
00
10
01
00
00
10
10
01
00
01
00
10
10
11
00
10
10
01
00
00
00
10
10
01
11
10
11
11
10
11
01
10
10
00
10
10
01
00
11
10
10
10
11
00
01
00
00
00
01
01
01
00
10
10
10
10
00
01
10
00
10
01
10
01
01
10
01
10
11
10
00
10
11
01
00
00
11
10
11
00
10
01
01
10
00
00
10
01
00
11
10
11
01
10
11
00
10
11
00
00
10
11
00
10
10
00
01
00
11
11
10
01
00
00
11
10
10
01
00
10
11
10
00
01
00
10
10
01
00
00
10
10
00
00
00
10
10
00
10
00
01
10
00
01
01
01
01
10
11
00
01
00
11
00
11
01
00
10
10
11
00
10
11
00
01
10
01
00
10
11
00
00
10
00
00
00
00
10
00
00
00
00
01
11
11
00
10
10
11
10
00
00
10
10
00
00
11
00
00
10
10
01
01
10
00
01
00
01
11
10
00
01
00
00
10
11
10
00
00
10
01
01
10
00
00
10
10
10
00
00
01
10
01
10
00
11
10
00
00
00
10
10
11
10
10
10
11
10
01
00
10
10
00
01
00
10
00
00
00
00
11
01
10
10
10
00
00
11
00
00
00
00
00
10
10
10
11
00
00
00
00
10
00
10
00
00
10
00
01
00
00
10
10
00
10
11
00
00
00
11
00
00
00
10
10
01
10
10
00
00
10
10
00
01
00
10
00
10
10
01
00
00
01
00
10
00
10
01
00
10
11
10
10
00
10
11
11
00
01
11
01
01
10
00
01
11
11
01
10
11
00
01
00
10
10
00
00
11
11
00
00
00
00
11
11
01
00
10
11
01
01
11
10
10
10
00
01
00
10
11
00
00
01
00
10
01
11
10
10
10
10
00
00
11
01
10
10
10
01
00
10
00
10
01
10
00
00
10
11
00
00
10
00
00
10
00
00
00
00
10
10
11
10
11
10
00
00
00
10
10
10
00
00
01
11
01
01
00
10
01
00
10
00
01
01
11
10
10
10
00
01
10
11
01
00
11
10
10
00
01
11
01
00
11
10
10
10
00
00
10
10
00
10
10
10
10
01
01
00
11
10
10
01
01
00
10
11
00
00
00
10
00
01
00
10
00
01
00
00
11
10
10
00
00
10
00
00
10
11
10
11
00
01
00
10
11
11
00
11
01
00
00
00
11
10
10
00
10
00
10
11
00
00
10
10
01
01
10
10
00
00
11
11
00
10
11
00
10
00
00
10
00
00
10
10
10
11
00
00
10
10
00
00
00
10
10
01
11
10
01
00
10
01
10
10
10
00
00
10
01
00
00
00
00
11
10
00
10
00
10
10
10
00
11
10
11
00
11
10
10
11
00
01
10
01
10
11
10
10
11
11
10
00
10
10
01
00
11
11
11
01
11
11
00
10
10
00
10
11
11
01
00
10
00
10
11
00
10
10
11
11
00
01
01
00
11
10
11
10
00
10
01
01
10
00
00
10
01
11
11
11
10
10
10
00
00
00
10
10
11
00
01
10
10
11
00
00
10
01
01
10
00
00
10
11
10
00
10
10
00
10
10
00
00
00
10
11
01
10
01
10
10
00
00
00
10
10
01
11
00
11
10
10
10
10
00
00
01
11
01
10
10
11
11
00
00
10
10
00
00
10
10
00
11
10
11
10
00
00
01
00
10
11
00
01
10
01
10
00
10
10
11
00
00
10
00
11
10
11
10
10
01
10
11
11
01
10
10
00
10
00
00
01
11
00
00
00
11
10
10
00
10
00
00
00
10
01
00
00
10
00
10
00
00
00
10
10
00
10
00
01
10
01
10
10
01
01
01
11
11
10
01
00
01
00
11
00
00
10
00
00
10
01
10
00
01
00
11
11
11
01
10
10
10
00
01
10
00
01
00
11
10
10
10
01
00
01
10
00
00
10
10
10
10
01
11
10
00
00
10
00
00
00
10
00
01
00
00
10
01
01
01
11
10
01
00
10
01
00
10
00
00
10
11
10
10
10
00
00
11
10
01
10
10
10
10
10
00
11
10
10
01
00
01
00
10
10
01
00
10
00
01
01
01
10
00
10
01
00
11
10
00
10
00
00
00
10
01
01
10
11
11
10
00
11
11
10
00
01
00
10
10
11
10
01
10
10
11
00
10
00
01
10
10
11
01
11
01
10
10
10
10
01
10
10
00
01
01
00
10
10
10
00
11
00
00
10
00
10
10
10
11
10
10
00
11
00
00
10
00
00
10
11
00
10
10
00
10
00
10
10
10
11
00
10
11
00
10
00
00
10
10
00
01
11
11
10
10
11
11
10
11
00
00
00
00
01
10
01
00
10
01
01
00
11
10
00
01
00
11
10
00
00
10
10
10
01
00
00
00
00
10
01
11
01
11
00
10
01
10
10
00
01
00
01
11
11
10
11
10
00
01
11
00
01
00
11
11
00
10
11
00
00
00
11
00
10
00
00
10
10
01
00
00
01
11
11
00
00
01
10
10
01
00
00
01
11
11
11
10
00
11
11
11
11
10
10
01
00
10
10
00
00
01
10
00
10
11
10
11
00
10
00
00
11
10
00
10
10
01
01
10
10
01
00
11
10
00
00
10
10
11
00
00
10
01
00
10
00
00
00
00
01
10
00
10
01
11
10
01
00
00
00
00
01
11
11
10
11
00
00
10
10
10
01
00
11
00
10
00
01
00
10
01
00
01
10
01
00
11
00
10
01
10
11
01
00
10
11
00
00
10
10
10
10
10
01
10
00
00
11
00
01
10
11
00
10
10
01
01
00
01
11
01
10
00
01
10
10
01
10
11
10
01
10
00
11
01
00
11
10
10
00
10
10
11
10
01
00
00
10
01
00
00
00
11
00
01
00
10
00
00
01
01
11
11
01
10
10
00
01
11
10
00
00
10
10
01
11
10
01
00
10
00
00
00
11
00
00
10
00
00
11
00
01
00
11
10
00
10
11
11
00
01
11
00
00
00
01
10
00
10
10
01
11
00
01
00
01
01
00
11
10
10
10
11
00
00
10
00
01
10
00
01
11
01
01
00
11
01
10
01
10
10
00
00
10
10
10
01
10
10
00
01
10
11
01
00
11
10
10
01
00
00
10
00
11
10
10
00
00
00
10
10
10
10
10
11
00
01
10
10
00
01
11
00
01
11
00
11
00
10
11
00
00
00
00
10
10
00
10
01
00
10
01
00
00
10
00
10
01
00
01
10
11
01
00
01
00
01
01
10
10
00
00
10
11
00
11
00
00
00
10
01
01
10
10
00
01
11
00
00
00
00
00
10
11
01
10
11
01
11
00
00
00
11
11
10
10
10
01
01
01
01
10
10
00
00
00
11
10
11
11
01
11
01
00
01
10
10
00
00
10
11
01
01
00
11
00
00
11
01
10
00
11
10
01
00
10
00
00
11
01
10
10
00
10
01
00
11
10
10
10
00
01
11
00
01
11
11
11
00
00
10
11
00
00
10
10
11
11
01
10
01
01
11
11
10
00
10
00
00
10
10
00
01
00
10
01
11
01
01
01
10
11
10
00
10
00
00
11
10
01
00
01
11
10
01
01
11
10
11
01
00
10
10
10
11
00
00
11
00
00
10
00
10
00
10
10
00
00
01
00
11
00
01
01
11
11
10
10
10
01
10
01
01
00
10
10
00
10
10
10
01
00
10
10
01
00
10
01
00
00
10
11
01
11
10
10
01
01
11
00
01
11
11
01
10
01
11
10
00
11
11
11
00
00
01
00
01
01
10
11
00
01
11
10
01
10
00
01
10
01
00
00
00
00
10
11
10
10
10
00
00
10
01
01
00
10
10
01
10
00
00
11
00
10
10
00
11
01
10
11
10
00
00
00
10
10
01
00
11
00
10
10
00
00
01
00
10
10
10
00
01
01
01
00
10
01
10
01
10
10
10
00
00
10
10
00
10
10
00
00
11
00
10
10
10
10
00
11
00
10
10
01
11
00
00
00
10
10
10
00
10
10
00
10
10
11
00
00
00
00
10
10
00
11
00
11
10
00
00
10
00
00
10
11
01
00
00
10
11
10
00
00
01
01
10
01
00
10
11
11
00
11
10
00
01
00
01
00
11
10
00
00
10
10
00
01
11
11
10
10
10
01
00
11
01
01
00
10
00
10
00
10
01
00
10
10
00
10
11
11
00
10
10
01
10
11
00
00
11
10
11
11
00
01
10
10
11
01
00
10
00
00
00
00
10
10
10
01
00
10
01
10
01
00
10
00
10
01
01
01
11
01
01
10
01
10
11
00
01
11
10
10
00
10
01
01
10
00
00
11
10
10
00
01
10
00
00
10
10
01
11
11
11
11
10
10
00
00
01
10
11
00
00
10
10
00
00
10
10
10
00
00
10
00
11
01
00
01
01
11
10
01
11
11
01
00
00
00
00
10
10
01
11
01
10
00
01
10
10
01
00
10
01
01
00
10
10
00
11
11
01
00
10
10
00
00
01
11
01
00
10
10
01
00
10
01
00
10
00
10
01
00
10
10
11
10
10
00
00
01
00
10
11
00
10
11
01
10
10
00
10
00
01
11
01
10
00
00
00
10
01
10
11
00
10
01
00
00
00
11
10
11
01
00
11
01
01
11
01
00
00
10
11
00
00
10
10
00
00
11
00
10
10
00
10
11
00
01
10
10
10
10
10
00
01
10
10
01
10
01
00
10
00
10
10
10
10
00
00
10
01
10
10
10
01
10
00
01
00
10
10
11
00
10
11
01
10
11
10
10
01
11
10
01
01
11
01
10
01
10
00
00
11
00
00
10
11
11
00
11
00
10
10
01
00
00
00
00
10
10
00
10
10
10
10
11
11
00
00
00
00
10
00
10
00
01
11
10
00
11
01
10
11
00
11
00
00
11
01
00
11
10
10
11
01
01
10
11
00
00
00
11
00
00
10
00
01
01
10
01
10
11
01
01
10
11
01
01
00
10
10
00
00
10
11
01
10
00
10
00
00
00
00
10
10
00
11
10
11
00
00
01
00
00
11
00
00
10
10
00
10
10
10
00
01
11
11
01
11
00
10
00
00
10
11
00
01
00
10
10
11
01
01
00
10
00
00
10
10
01
01
00
10
10
11
00
01
00
11
10
10
11
00
00
11
00
00
01
10
10
11
10
01
00
00
11
00
00
11
10
10
00
00
11
10
00
10
00
00
10
10
00
10
11
11
01
10
11
00
01
10
00
10
10
10
01
10
10
00
11
00
00
01
00
10
00
11
00
00
00
11
11
00
01
10
10
01
00
11
10
10
01
10
00
00
10
11
10
10
10
01
00
00
01
10
01
11
00
00
00
00
11
10
11
00
11
10
10
10
00
00
10
00
10
10
00
11
00
11
01
01
00
11
10
01
10
00
00
10
00
00
11
11
10
00
10
00
00
01
10
00
00
10
01
10
10
00
00
00
01
11
00
01
00
10
11
10
11
10
11
00
01
00
10
10
00
01
10
00
10
00
00
10
00
00
00
10
10
10
10
10
00
00
00
11
11
10
11
00
01
00
10
11
01
10
01
00
10
11
11
01
10
10
00
01
00
00
00
10
01
01
11
00
01
01
10
10
00
01
00
10
10
11
00
00
10
01
00
11
00
10
10
00
01
10
10
00
10
01
11
01
00
11
00
11
11
10
10
11
11
01
10
00
11
11
00
00
10
10
01
10
00
10
11
10
01
01
11
01
10
00
10
10
00
00
10
00
01
10
01
00
10
00
00
00
11
00
00
01
11
10
11
10
10
01
11
00
11
10
00
00
01
10
10
11
00
00
00
11
10
10
11
11
01
00
10
00
10
00
11
10
00
10
11
00
10
10
10
00
10
00
11
00
00
00
11
01
10
00
00
00
00
01
10
10
00
00
00
10
00
10
00
01
10
00
00
11
00
01
11
01
01
10
10
00
01
00
01
11
10
10
00
10
10
00
00
10
01
10
11
00
01
11
10
10
00
00
10
10
00
11
10
00
10
00
11
11
01
00
11
11
10
01
01
00
00
00
11
10
11
10
00
01
11
01
00
00
10
00
11
11
00
01
00
10
10
10
01
11
10
00
10
11
10
00
00
01
00
00
00
10
01
00
10
10
10
00
01
10
10
11
10
00
11
01
00
00
10
10
00
01
11
11
00
01
10
01
11
01
10
01
00
10
00
10
10
00
00
01
00
10
11
10
00
10
10
00
11
10
00
01
00
01
00
00
00
11
11
11
11
10
10
00
01
01
11
00
10
00
11
00
00
00
11
11
00
10
00
10
10
10
11
00
00
01
01
10
11
01
01
00
11
10
10
00
00
11
10
10
00
10
01
01
00
00
10
10
00
11
10
01
00
10
00
00
11
11
11
00
00
01
00
00
00
10
00
10
11
00
00
10
11
00
01
10
11
00
11
00
00
01
11
10
01
10
10
10
00
10
01
00
11
00
01
10
10
10
10
00
10
00
01
10
11
10
10
00
10
10
10
01
00
00
11
10
00
11
10
00
10
10
10
00
00
11
01
10
00
00
10
01
00
10
00
00
11
01
00
00
01
11
00
11
00
10
00
01
10
10
00
11
10
00
10
00
10
01
10
00
11
11
10
10
01
10
10
10
00
00
10
10
11
00
00
10
10
10
01
00
10
00
10
10
11
11
00
01
00
10
01
11
10
00
00
11
00
00
10
11
01
00
00
00
01
10
11
00
11
01
01
01
00
01
11
11
00
10
10
01
10
00
10
10
00
00
11
01
11
00
01
10
10
10
01
10
01
00
11
10
01
00
10
10
11
10
10
10
00
00
10
11
00
11
10
00
11
10
10
00
01
11
10
10
00
00
10
00
10
11
00
01
00
00
00
00
00
00
01
01
00
11
00
10
11
10
10
10
01
00
11
11
01
00
10
10
01
10
10
10
01
00
01
10
10
10
10
11
00
00
10
00
10
01
11
00
00
11
00
01
00
10
10
00
00
11
00
00
11
00
01
10
10
10
10
00
11
10
10
11
00
10
10
00
00
00
10
00
01
10
11
10
00
10
10
10
00
10
01
00
10
10
01
00
00
11
10
11
10
01
00
00
11
11
01
01
10
11
11
10
00
01
10
01
00
11
10
11
00
00
00
10
10
00
11
10
00
00
10
11
00
10
00
00
10
10
10
10
10
00
10
10
10
11
10
11
01
01
00
11
00
00
00
10
01
00
10
10
11
10
01
10
10
10
00
10
10
00
00
11
00
11
00
10
10
00
10
10
01
00
00
10
10
01
01
10
10
10
01
00
10
11
00
10
01
00
10
11
00
00
10
11
00
00
01
11
11
00
10
00
00
11
10
00
01
10
10
10
11
10
00
10
11
00
00
01
10
01
00
11
01
10
10
00
11
10
01
00
00
10
00
00
01
00
11
11
01
00
00
01
11
10
00
00
10
11
10
00
10
11
11
00
10
11
00
01
11
01
01
10
00
00
00
10
11
11
01
01
01
00
10
00
00
11
10
01
00
00
10
00
11
10
01
00
11
01
10
10
10
00
00
10
10
10
01
11
00
10
00
10
10
01
00
10
10
00
00
01
10
00
10
00
00
10
10
11
10
11
10
10
10
00
01
11
01
01
11
00
01
10
10
11
00
10
11
00
10
10
01
00
00
10
00
00
00
00
00
10
10
10
00
01
01
10
11
00
11
11
11
10
01
01
11
00
01
10
10
10
10
00
00
10
11
00
11
10
10
00
01
10
00
10
01
10
11
11
01
01
11
00
01
00
10
01
00
11
10
00
01
11
10
01
10
11
01
11
00
10
10
10
00
00
11
00
01
11
00
10
10
10
11
01
01
00
11
11
01
00
00
00
10
11
00
10
10
11
10
10
00
00
11
01
10
10
00
10
11
00
00
01
01
11
10
01
00
01
01
10
01
01
10
10
00
01
10
00
10
00
00
00
01
11
10
11
01
11
10
00
00
10
11
01
11
10
10
10
00
00
00
00
11
11
10
01
10
01
00
10
10
00
00
10
10
00
10
10
10
00
00
00
10
00
00
11
10
01
01
10
11
10
10
00
10
10
00
00
00
10
10
10
11
00
11
10
01
10
11
10
01
00
10
01
10
01
01
10
10
01
01
10
10
00
10
00
11
11
00
01
00
01
01
00
11
11
00
00
00
10
00
10
10
00
01
10
10
10
10
10
10
00
01
10
00
10
00
01
01
11
10
10
00
00
00
00
00
11
10
01
00
11
00
10
10
00
11
11
00
00
01
00
01
00
11
01
10
00
00
10
01
00
10
10
01
01
10
00
10
10
11
00
10
00
01
10
10
10
00
10
11
01
01
00
00
10
11
11
00
00
10
10
00
01
00
00
10
10
00
10
11
11
11
01
00
10
10
00
11
00
00
10
11
11
10
10
00
10
10
01
00
00
00
01
11
00
00
10
00
11
00
11
10
10
00
00
00
00
00
00
11
11
01
10
10
00
00
00
11
10
00
01
00
10
00
00
11
10
10
00
00
10
00
01
11
10
00
10
01
10
11
10
00
00
10
10
10
00
00
00
00
10
10
00
11
00
11
00
00
01
11
00
00
10
00
01
00
10
11
00
11
10
10
10
10
00
00
10
11
01
10
01
11
01
11
10
00
11
00
11
11
11
00
10
00
01
10
10
00
00
01
11
10
00
10
00
00
10
01
10
01
00
00
11
00
00
01
10
10
11
00
01
01
01
10
00
00
10
00
00
01
00
10
10
00
10
00
00
10
11
10
10
01
01
11
11
10
00
10
01
00
11
01
00
11
11
10
00
00
11
11
11
00
00
10
10
11
11
00
00
10
00
11
11
10
01
11
10
01
00
00
10
11
01
10
10
11
10
01
11
00
10
11
00
11
00
00
10
10
00
00
11
10
00
00
10
00
01
10
01
11
00
10
11
10
11
10
01
00
10
00
00
11
01
11
10
00
01
10
00
01
00
10
10
10
11
00
01
10
11
00
01
01
10
10
01
10
00
10
10
00
00
00
00
10
11
10
10
00
01
10
11
00
00
01
11
00
10
01
00
10
01
10
11
10
01
00
10
01
01
00
00
00
01
00
11
11
01
01
10
01
10
10
11
01
00
01
00
10
00
00
10
00
00
00
11
10
10
00
00
00
11
10
10
10
00
10
10
11
11
00
10
01
00
01
10
10
01
10
11
11
01
10
11
10
11
00
01
00
11
11
00
01
10
01
01
00
11
00
00
11
01
10
10
11
00
00
10
10
01
01
10
01
11
11
00
00
11
00
10
10
00
01
11
10
01
01
11
10
00
00
10
10
11
10
10
00
10
10
10
11
00
10
10
00
10
00
00
10
11
00
00
01
10
00
00
10
10
00
01
11
10
11
10
11
11
00
10
00
10
10
11
00
01
10
01
00
00
00
11
01
00
10
10
10
01
11
10
00
00
00
00
10
11
10
00
10
00
10
10
10
00
10
10
00
00
01
10
00
00
00
00
01
11
10
01
11
10
00
11
10
01
00
10
10
10
10
10
11
00
10
00
11
01
10
10
00
10
00
00
01
00
11
11
00
10
00
10
11
00
10
10
00
00
10
00
00
00
10
10
01
10
00
01
11
10
00
00
10
00
10
10
01
00
01
11
11
01
00
10
01
00
10
11
10
01
00
00
11
10
00
01
00
01
01
10
10
01
11
10
00
00
01
10
00
11
10
01
00
10
00
10
00
01
00
10
00
10
10
10
10
00
10
11
10
00
10
00
00
00
00
01
10
01
11
10
11
11
11
10
01
00
10
10
10
11
00
00
01
01
10
01
10
00
00
11
11
11
11
00
01
10
01
10
10
10
10
10
01
11
10
00
00
00
00
00
00
01
11
10
11
10
10
01
01
00
10
10
00
01
01
10
10
01
00
11
00
00
11
10
11
00
00
11
11
00
10
00
00
11
11
00
11
10
11
10
11
01
00
01
11
11
00
00
11
11
10
00
00
10
11
00
00
10
00
00
10
11
00
00
11
01
10
11
10
00
00
10
00
00
10
10
11
00
00
10
10
10
10
11
10
11
00
00
00
10
10
11
00
01
10
01
01
00
01
10
00
10
10
10
00
00
10
10
10
00
10
10
11
00
01
10
11
10
00
00
00
01
10
10
01
11
11
10
11
01
11
11
00
00
11
00
01
11
00
01
01
11
11
00
00
10
10
10
00
01
10
01
11
10
10
11
00
00
11
01
00
11
01
01
00
10
10
00
10
10
00
00
10
10
01
01
10
11
11
00
00
00
10
00
01
10
00
10
10
01
11
00
11
11
00
10
00
01
00
10
10
00
00
10
00
00
00
00
10
11
01
10
01
10
10
01
11
11
11
10
01
11
10
10
11
01
10
00
00
00
10
10
00
10
00
11
10
10
00
00
10
00
11
00
00
11
01
00
00
00
10
01
01
00
00
11
11
00
10
10
11
01
00
01
00
10
10
00
11
11
10
00
10
00
00
11
10
10
10
00
10
10
10
11
00
01
00
01
00
10
11
00
00
00
11
10
01
01
11
10
00
10
10
00
00
00
00
01
00
01
11
11
10
11
10
10
00
10
00
00
00
11
11
11
00
10
11
00
00
11
10
00
01
10
00
11
10
00
11
11
11
10
00
00
11
00
01
10
10
10
00
01
00
01
00
10
01
00
01
10
11
00
00
11
11
11
00
11
00
01
10
00
10
11
01
01
10
00
10
01
00
10
10
10
10
00
00
01
10
10
00
10
10
00
00
01
11
11
10
01
11
01
10
10
11
10
00
00
11
10
10
01
01
00
11
00
00
00
10
10
01
00
10
01
00
11
10
01
11
10
00
01
10
10
10
00
00
10
00
00
10
10
00
10
00
00
01
00
11
10
11
01
01
00
11
01
01
00
11
10
00
00
00
10
10
00
01
11
00
11
10
00
10
11
00
01
10
11
11
00
11
10
10
00
00
00
00
10
10
00
10
00
11
10
00
11
10
00
00
10
00
10
00
00
10
11
00
11
10
01
00
10
00
10
00
01
10
11
01
10
01
10
00
00
11
10
00
11
01
11
10
00
01
00
01
00
10
10
00
10
10
01
01
01
01
11
11
01
00
00
11
01
01
10
10
11
00
00
00
00
10
00
00
11
00
00
10
10
11
00
00
10
00
00
10
01
10
00
00
01
10
00
11
10
00
00
11
00
11
00
11
00
10
00
10
11
00
00
10
10
01
00
00
10
11
00
10
00
10
10
00
11
10
00
01
01
00
00
11
11
01
00
00
10
10
01
00
10
10
00
11
00
10
11
10
10
00
00
10
01
01
11
10
00
00
10
10
00
01
10
10
11
00
00
10
10
00
00
01
00
00
00
00
10
10
10
00
01
01
10
10
11
00
01
00
10
10
10
00
01
00
00
10
01
10
11
00
10
00
10
00
00
10
10
10
01
00
00
00
00
10
00
10
11
01
11
00
00
10
10
11
10
01
00
10
10
00
00
00
01
00
11
01
11
11
01
00
10
01
10
01
10
00
00
10
00
10
10
00
00
10
00
10
10
11
00
00
11
00
01
11
10
01
00
00
00
11
11
11
00
00
10
00
00
11
00
01
01
00
10
11
00
11
00
10
00
01
00
11
10
00
00
11
10
00
00
10
00
00
10
10
10
00
01
01
11
00
11
00
10
00
01
10
10
00
00
00
10
01
10
01
00
10
00
10
00
00
00
11
01
00
11
11
11
10
01
10
11
01
00
01
01
10
00
01
10
10
00
00
11
00
00
10
10
00
00
10
11
10
01
00
01
00
11
10
00
00
10
00
00
01
10
00
00
10
11
00
11
10
10
11
11
00
00
11
01
01
10
10
00
10
10
00
00
10
01
00
00
10
10
11
10
00
11
00
10
00
00
10
11
00
00
10
00
00
10
11
10
10
11
10
11
00
11
00
01
00
10
00
01
10
00
00
11
00
11
10
11
10
01
10
00
00
10
00
00
10
10
00
00
01
11
10
00
11
10
00
10
00
01
10
00
10
11
00
11
10
01
10
01
00
11
00
00
10
01
11
10
00
00
10
11
10
10
10
11
00
10
00
11
10
10
10
00
00
00
00
11
11
11
00
10
01
00
00
10
10
00
11
10
11
01
00
11
00
11
00
10
00
00
10
11
01
00
01
10
11
00
00
01
10
10
01
10
11
00
11
00
00
10
01
10
11
01
01
00
01
11
01
01
01
10
10
10
00
10
10
10
00
00
00
11
00
00
00
00
11
10
00
10
00
01
10
01
10
10
00
01
01
01
00
10
10
01
00
01
00
10
11
11
01
00
01
10
01
01
01
10
11
10
00
11
10
01
00
10
10
11
00
00
00
11
11
11
11
00
00
10
00
00
10
00
00
00
10
10
00
00
00
10
10
11
00
10
01
11
00
00
00
10
11
11
00
01
10
10
00
11
10
00
00
01
10
10
11
10
00
11
10
01
10
00
10
10
00
00
10
01
10
10
01
10
10
11
00
10
10
00
00
00
10
01
10
10
11
10
00
01
01
11
00
10
00
11
01
10
00
01
11
10
01
01
10
10
10
01
00
00
11
11
01
10
10
00
01
00
00
10
10
10
01
01
10
10
10
10
01
00
00
10
01
10
01
10
11
10
10
01
10
00
00
00
11
00
00
10
01
10
10
01
01
11
11
10
00
11
10
01
00
00
11
00
01
11
11
10
11
00
00
01
11
00
01
10
11
11
11
01
00
10
11
10
11
00
00
00
01
11
10
00
00
01
10
01
11
10
00
01
11
10
01
00
10
00
00
01
00
00
10
10
00
00
10
10
10
00
01
00
00
00
10
00
00
00
10
01
00
11
00
11
10
11
00
00
10
11
00
10
00
10
10
10
11
00
00
10
01
00
01
00
10
00
10
10
00
00
10
01
00
10
10
10
10
11
00
11
11
10
00
00
10
10
01
00
10
11
11
11
10
00
10
00
00
10
10
00
00
00
00
10
00
01
00
10
10
00
00
11
10
10
00
01
00
00
00
00
00
10
01
00
01
01
11
11
11
00
01
10
11
10
01
00
11
11
01
10
10
00
00
00
10
00
10
10
10
01
00
10
10
01
11
00
10
10
00
11
00
01
11
01
11
01
00
00
01
10
00
00
10
11
10
00
11
00
00
10
10
11
10
01
00
11
10
01
11
01
00
11
00
11
10
00
00
10
10
00
10
10
10
10
01
10
00
11
10
00
10
10
11
00
10
00
00
00
00
10
10
10
01
01
10
00
00
10
01
10
01
11
10
00
01
11
10
00
10
01
10
00
00
11
11
11
00
01
10
01
10
00
00
11
00
00
10
10
00
10
11
01
00
10
00
00
01
11
10
10
00
11
01
11
10
00
01
10
00
00
10
00
11
11
10
10
00
01
10
00
10
01
01
00
10
00
11
11
00
01
10
10
00
01
01
10
01
01
10
00
10
10
00
10
00
00
01
11
00
00
00
00
11
00
11
00
10
10
00
00
00
00
10
10
01
01
10
11
01
10
11
10
01
11
10
01
10
10
11
11
01
00
11
10
00
01
10
10
00
00
10
10
00
01
11
10
01
00
10
11
10
01
00
10
10
00
00
11
10
00
00
10
01
00
01
01
10
11
10
11
11
10
00
01
10
11
11
10
01
11
00
00
11
11
00
01
00
10
11
10
11
00
00
00
11
10
10
10
00
00
10
10
00
10
00
11
00
11
10
10
11
00
10
01
00
11
10
01
00
10
00
00
10
00
11
10
10
00
00
00
00
01
00
10
10
00
11
10
10
01
00
01
01
10
11
11
11
00
10
10
00
10
11
10
00
00
10
00
00
10
10
00
11
01
11
10
01
01
11
10
10
10
00
00
11
10
01
10
00
00
10
10
01
00
11
01
01
00
00
00
01
01
00
11
10
00
11
10
00
01
00
11
00
00
10
10
00
00
00
10
10
00
01
11
10
00
11
11
00
00
00
10
10
00
10
00
00
00
00
10
00
10
10
11
01
00
11
01
10
11
10
11
00
01
11
10
10
01
10
10
10
00
10
10
00
00
11
11
11
00
10
10
10
11
11
00
00
10
10
11
10
01
00
00
10
11
10
00
00
11
00
11
11
11
10
00
01
11
10
10
01
00
01
10
10
10
01
11
01
01
11
10
11
00
01
10
01
01
11
01
00
01
10
10
00
10
10
00
01
11
01
11
11
10
00
00
11
00
01
00
10
00
10
01
00
10
10
00
10
11
00
01
10
10
00
00
10
10
10
00
11
10
00
10
11
01
01
10
10
11
00
10
01
00
10
01
10
01
10
01
00
11
11
10
10
00
10
10
00
01
00
00
10
10
01
10
01
00
00
10
10
10
10
11
01
01
11
00
10
10
00
10
10
01
10
00
01
00
01
10
00
00
10
00
00
10
10
00
00
01
10
10
01
11
00
00
01
10
11
01
11
00
00
01
10
11
00
00
10
11
10
01
00
11
10
01
00
11
10
00
00
10
00
10
01
00
11
10
00
00
00
11
11
10
00
00
10
00
00
01
10
00
10
11
01
11
01
10
10
01
00
10
01
00
11
10
00
10
10
10
01
00
10
00
00
00
10
00
10
10
10
01
01
00
00
10
10
11
11
01
00
00
10
11
00
01
10
10
11
11
00
01
10
10
10
10
00
10
10
00
10
00
11
00
00
11
01
11
00
00
10
10
00
10
00
01
00
10
10
00
01
11
11
00
10
10
10
00
11
10
10
11
01
01
11
10
00
00
10
00
11
11
00
10
10
10
10
11
10
00
01
00
11
00
10
11
00
01
00
01
11
10
10
10
00
00
10
00
10
01
00
10
01
00
10
01
10
10
10
01
11
00
00
10
00
00
01
00
11
00
00
10
01
10
10
01
00
10
01
01
11
00
00
11
00
00
00
00
10
00
00
10
11
11
00
00
00
00
10
10
11
01
01
10
01
10
00
10
10
01
00
10
00
11
00
11
00
10
00
00
00
11
00
00
10
01
01
10
00
10
00
10
10
00
00
01
01
00
11
10
00
10
00
01
11
00
01
01
10
11
11
10
01
01
11
00
11
00
01
00
00
10
10
00
00
11
00
00
10
01
10
11
10
10
00
11
11
01
10
10
00
11
10
00
10
10
00
10
10
00
10
00
11
10
10
01
11
11
00
01
00
11
01
01
00
10
10
00
00
11
11
11
01
11
10
01
00
10
11
00
00
10
10
00
10
01
01
10
10
00
10
10
01
01
10
10
00
10
00
10
10
11
00
10
00
01
11
10
10
10
10
01
00
10
00
11
10
00
11
00
01
10
10
01
10
10
00
00
00
11
00
11
10
10
00
11
00
00
00
10
01
10
01
00
01
00
10
10
11
01
00
01
01
00
11
10
10
11
00
01
01
00
10
10
01
10
00
00
10
10
00
00
00
11
10
10
11
10
00
00
01
00
10
10
10
10
10
00
00
01
10
10
00
00
00
10
10
00
00
01
00
01
00
11
10
10
00
01
11
01
01
10
11
10
00
11
00
10
11
10
10
10
01
10
11
10
00
01
00
00
10
01
01
11
00
00
10
00
11
10
10
01
10
11
00
00
10
00
01
11
10
00
00
10
10
01
01
01
00
00
10
01
10
11
10
00
01
11
10
01
01
10
11
01
00
00
00
11
11
01
00
00
00
10
01
00
10
01
11
11
11
10
01
11
00
10
00
00
10
10
10
01
01
10
10
10
10
00
00
11
00
00
11
00
10
10
10
01
10
10
01
00
10
00
11
10
10
00
00
01
00
00
00
11
11
10
10
11
00
00
00
01
11
10
10
00
01
10
10
11
10
10
00
00
00
01
10
10
10
11
00
11
01
10
10
01
01
10
01
01
11
00
11
11
10
00
01
00
11
00
00
10
10
10
01
00
10
01
11
10
10
00
11
10
11
00
10
00
00
10
01
10
10
10
00
01
00
00
00
10
01
00
11
10
01
01
00
00
00
00
10
01
10
00
00
11
10
10
00
00
00
11
10
10
00
11
10
00
10
01
00
00
10
10
10
10
10
10
11
00
00
01
00
10
11
10
00
10
10
01
00
00
00
10
10
10
01
01
01
01
10
10
11
10
01
10
10
00
01
01
01
10
10
10
00
00
11
11
00
00
10
00
01
10
00
10
00
10
00
00
11
00
01
01
00
00
00
10
11
00
00
10
01
10
10
10
00
01
10
10
11
00
01
00
01
00
01
00
10
00
00
10
10
10
01
10
10
00
10
00
10
01
00
00
00
10
10
00
00
10
00
01
00
00
10
10
00
01
11
10
10
01
11
11
10
10
00
00
00
01
11
00
00
10
00
01
10
11
11
01
01
00
11
11
00
00
10
10
10
10
00
00
01
10
00
01
00
00
10
10
01
10
10
10
10
00
01
01
01
10
00
11
10
00
10
11
00
00
11
00
00
00
00
10
00
00
11
10
10
00
00
11
00
00
10
00
00
10
01
01
10
01
11
00
01
00
11
10
00
11
00
10
10
01
00
10
10
00
11
00
10
00
11
01
10
10
01
10
11
00
10
00
00
10
00
01
01
10
00
00
01
10
00
10
00
00
11
11
10
10
10
01
10
01
00
11
10
10
10
00
10
10
11
00
10
10
10
00
10
00
10
11
00
01
00
10
00
00
00
00
00
01
00
10
10
11
11
00
10
11
00
00
11
00
10
10
01
11
01
01
10
00
10
10
10
10
00
00
00
00
11
00
10
10
00
11
00
00
11
00
10
01
10
00
00
11
11
00
01
01
10
10
10
11
11
01
00
01
10
11
00
00
11
10
01
10
00
00
00
11
00
11
10
00
01
00
10
00
01
10
10
01
00
10
10
10
10
00
00
10
10
00
01
10
11
11
11
10
00
01
00
10
00
00
01
01
11
10
10
10
10
00
10
10
00
10
10
10
01
00
11
11
00
10
00
10
11
10
00
10
00
10
10
01
10
00
01
10
10
00
00
10
10
01
11
01
00
10
10
10
00
10
00
00
10
00
10
00
10
11
01
11
10
01
00
10
00
10
00
00
01
10
10
11
10
00
00
00
00
00
11
00
10
11
00
10
11
10
00
01
01
01
00
00
11
10
01
00
11
11
01
10
11
10
00
00
11
10
11
00
00
01
01
00
00
01
10
01
01
01
00
11
10
01
10
10
10
01
00
10
00
10
10
10
10
01
11
10
00
10
00
11
10
10
10
01
00
00
01
00
00
10
11
00
00
10
10
00
00
00
00
01
10
11
10
11
11
10
00
00
10
00
11
11
11
00
11
10
00
00
10
01
00
10
10
00
10
10
01
01
00
00
00
10
11
00
01
01
00
10
10
00
11
01
00
00
01
01
10
11
00
00
10
11
01
01
00
00
10
00
10
01
10
00
10
01
01
00
01
01
10
00
10
10
01
01
11
10
11
01
10
01
10
00
00
10
00
11
10
10
00
01
01
10
10
10
00
01
01
10
00
10
01
10
10
00
00
11
01
10
10
00
00
10
01
00
10
10
00
01
10
00
00
00
01
11
01
11
10
00
11
10
00
00
00
00
10
10
11
10
00
11
10
11
10
10
10
00
00
00
00
11
00
00
11
00
10
01
11
00
01
00
11
10
01
00
01
10
10
10
10
10
00
00
01
01
10
11
11
10
00
01
10
10
00
00
01
00
01
00
10
11
00
00
01
01
10
10
11
01
00
10
00
00
00
00
10
10
00
11
11
01
01
00
11
10
11
10
00
00
11
10
00
00
11
10
01
01
00
10
10
11
10
00
01
10
10
01
10
00
00
11
00
00
00
00
01
00
11
10
00
10
01
00
00
01
10
11
00
00
11
01
11
00
10
11
10
10
00
01
00
10
11
00
11
00
11
00
10
00
01
00
00
10
10
00
00
10
00
10
01
00
10
11
10
00
11
10
10
00
00
00
01
11
10
11
01
01
00
10
00
01
00
11
11
00
01
10
00
01
00
10
10
11
00
10
10
00
00
10
00
10
01
10
11
10
01
00
00
10
00
10
11
10
00
10
10
00
11
01
00
10
11
00
00
00
10
11
10
10
00
11
10
11
10
01
01
11
00
01
10
01
00
11
10
10
10
00
00
10
00
00
10
11
00
01
01
00
10
10
11
00
00
10
10
10
00
00
01
00
10
10
10
11
00
11
00
00
11
10
01
01
01
10
01
00
11
00
00
11
10
00
11
10
00
10
00
10
00
10
10
10
00
01
00
10
00
01
00
00
10
10
00
11
11
01
01
11
11
11
10
01
11
11
01
00
10
10
00
01
11
11
00
00
01
10
10
00
01
10
01
11
10
11
11
00
00
00
01
11
10
00
11
10
10
01
01
01
01
10
00
00
01
11
11
00
00
10
11
10
00
10
10
10
10
00
00
00
10
01
01
10
01
10
01
10
10
00
00
10
11
10
01
10
10
00
01
01
10
10
00
11
10
00
00
00
00
00
01
11
01
00
10
10
10
10
00
10
10
00
00
10
10
11
10
10
01
10
00
00
10
10
10
00
01
10
00
11
01
01
00
10
00
10
00
00
11
10
01
00
01
11
00
00
11
00
00
10
10
10
10
01
00
00
01
10
00
11
01
10
10
10
00
01
10
00
11
01
10
11
00
10
10
11
01
00
11
10
00
00
10
10
00
01
10
11
10
01
10
10
10
11
01
00
00
10
00
10
10
00
01
00
00
00
10
10
01
10
10
00
10
10
01
01
10
01
10
00
10
01
00
01
00
10
01
10
00
10
11
01
00
10
10
00
11
01
01
10
10
00
11
01
00
10
10
00
00
10
00
10
00
11
11
00
11
00
11
00
00
00
00
01
01
00
10
11
00
01
11
00
10
10
00
01
00
10
00
11
10
10
11
01
10
10
00
00
10
00
01
10
10
00
10
00
11
00
10
10
10
10
11
11
01
11
01
10
00
00
10
10
00
00
00
01
00
01
10
10
10
00
01
10
00
01
10
10
10
10
00
10
11
00
11
10
00
10
10
10
00
00
00
10
01
00
10
00
11
10
00
10
11
00
10
00
01
01
10
00
01
00
11
10
00
10
10
10
01
01
11
00
01
00
10
10
01
11
11
00
00
00
01
10
10
10
00
01
10
00
11
01
00
10
00
11
11
10
00
00
10
01
01
11
10
10
00
00
00
10
10
01
00
10
10
10
01
00
11
11
00
11
01
11
10
00
00
10
00
10
10
00
00
10
00
10
00
10
10
01
00
11
00
00
10
11
01
10
10
00
11
00
00
10
10
11
00
00
00
10
01
00
11
01
00
11
11
00
00
11
10
01
00
11
01
00
00
11
10
00
11
10
10
01
01
10
10
00
10
00
10
00
01
10
01
11
11
11
10
00
10
00
00
10
10
01
10
00
10
10
00
00
10
00
01
10
00
00
00
00
10
10
10
00
01
10
00
00
00
10
11
10
11
00
00
00
10
10
01
01
11
01
11
01
11
10
01
00
11
11
00
10
11
01
00
10
00
10
11
01
10
00
10
10
01
11
00
00
10
00
00
11
10
10
11
01
01
10
10
00
00
10
11
10
10
01
00
01
10
11
00
11
00
00
10
10
00
00
10
00
00
01
00
11
10
11
11
10
00
01
01
10
10
00
11
01
01
10
00
10
00
01
11
10
11
01
01
00
00
11
10
00
00
00
01
11
11
11
11
11
01
00
10
10
01
00
10
11
00
00
01
10
00
00
11
11
00
10
10
11
01
11
10
01
11
10
01
00
10
10
00
00
11
11
01
11
11
00
11
10
00
10
11
10
01
11
11
01
11
01
00
11
10
10
00
00
01
10
10
00
11
11
11
01
00
10
00
00
00
11
10
00
01
00
10
11
11
01
00
10
11
01
01
00
01
10
00
00
10
10
01
10
10
11
00
11
10
00
00
00
10
01
00
00
01
00
10
01
00
10
10
00
01
01
10
10
10
00
01
11
10
01
11
01
10
00
01
00
00
10
00
00
11
10
00
00
10
10
10
01
11
00
00
00
01
00
01
10
10
00
00
11
10
00
00
10
01
00
10
00
01
00
01
00
11
00
10
10
00
10
00
01
00
01
11
00
00
10
10
01
10
11
01
10
00
00
10
10
00
00
11
10
00
00
11
10
01
10
00
10
00
01
10
11
00
11
00
11
10
00
10
10
01
00
10
00
00
00
00
10
10
10
00
01
10
00
01
11
11
00
00
10
10
10
00
11
10
11
01
01
11
00
01
01
10
10
00
01
10
10
01
11
10
00
01
10
10
00
10
00
10
10
00
00
10
00
11
10
11
10
00
11
10
10
00
10
11
10
10
00
11
00
00
00
01
00
10
00
01
10
01
10
10
00
01
00
01
11
00
10
11
00
11
01
00
10
11
10
10
10
01
00
00
00
10
10
00
01
01
00
01
11
11
10
10
11
01
11
11
01
10
00
00
11
10
11
01
10
01
00
00
10
10
00
10
01
11
10
10
00
01
10
10
11
00
00
00
10
01
00
11
10
10
11
10
10
10
00
00
10
00
01
00
10
10
00
00
00
11
10
00
10
11
11
01
10
10
00
00
01
01
11
11
00
00
00
01
10
11
01
00
11
00
00
10
10
00
01
11
10
10
00
10
01
01
00
00
01
00
00
10
10
00
01
00
01
10
10
00
00
11
11
00
01
10
01
01
00
10
10
00
10
00
10
00
11
10
00
10
01
00
11
10
01
01
10
01
00
10
10
10
00
00
10
10
00
01
10
01
01
00
11
10
11
01
11
10
00
10
00
10
10
00
00
10
10
10
11
00
10
10
00
11
00
01
11
00
10
10
01
10
10
00
10
00
00
00
11
00
11
00
10
10
00
00
10
00
00
01
10
11
00
00
10
00
10
10
10
00
01
11
11
01
00
10
10
00
00
10
01
01
10
10
01
00
01
10
00
11
00
00
10
10
01
00
00
11
10
10
01
10
11
11
10
00
10
01
10
01
00
11
00
01
10
10
00
00
01
11
10
10
00
00
00
00
10
11
01
00
01
00
10
10
00
01
10
11
00
00
01
00
10
10
00
11
10
01
00
11
11
00
11
01
11
10
00
00
10
00
00
10
10
10
00
11
10
11
00
10
00
10
00
11
11
01
01
11
10
10
10
00
10
00
01
11
01
10
01
10
10
00
00
00
01
10
10
00
00
11
00
10
10
01
10
01
10
00
10
00
00
10
11
10
11
11
10
10
00
11
10
11
00
10
10
01
01
00
11
10
10
01
01
11
11
11
01
10
11
00
10
10
00
00
10
10
01
01
11
00
11
10
01
11
00
01
10
11
01
10
11
01
00
10
10
00
00
01
10
00
11
10
10
10
01
00
01
10
00
11
10
11
10
00
01
10
00
01
10
10
10
01
00
01
10
11
00
00
00
10
00
00
00
10
00
00
01
11
00
00
10
01
11
10
00
01
10
00
10
10
00
11
11
00
00
10
11
00
01
11
10
00
00
10
00
11
10
00
00
10
11
00
00
10
10
00
10
10
00
00
00
00
10
00
10
00
00
10
10
00
11
10
01
10
00
10
01
10
01
10
10
00
01
01
10
10
00
00
10
00
00
11
11
00
10
10
00
00
11
01
11
11
00
10
00
01
10
10
00
00
00
10
00
00
10
00
10
01
10
01
10
10
10
01
00
11
10
00
00
10
10
01
01
11
00
10
00
11
10
00
00
10
11
00
00
10
11
00
00
10
10
10
10
00
10
00
11
10
00
00
11
01
10
10
00
01
10
01
11
10
10
00
00
00
10
11
10
10
11
00
00
10
10
00
00
10
10
00
00
11
11
10
10
01
11
00
00
11
00
11
00
11
11
00
10
01
00
10
00
00
11
01
11
00
00
00
11
10
01
00
10
10
11
00
11
10
01
11
01
00
10
01
00
11
10
10
00
00
10
10
00
00
11
00
00
00
00
10
01
01
00
11
10
00
10
11
11
01
10
10
10
10
01
11
10
00
00
00
10
01
00
11
10
11
11
00
00
10
10
01
11
01
00
10
01
10
10
10
00
01
01
10
00
01
10
00
10
01
10
10
10
11
00
01
00
00
00
11
11
00
10
11
00
00
11
10
01
00
11
00
11
10
10
10
01
11
10
00
10
11
01
11
10
10
00
10
01
11
01
00
00
01
10
10
11
10
00
10
00
00
11
00
11
10
00
01
10
10
10
00
00
10
11
10
11
01
10
00
10
10
11
01
10
01
01
10
00
10
00
01
10
10
00
01
11
01
10
00
10
11
01
00
11
10
01
00
00
00
00
11
10
00
10
00
00
01
00
00
10
11
01
10
00
01
01
10
01
00
10
11
11
00
10
10
01
00
10
10
00
00
00
00
11
01
00
10
11
10
10
00
00
11
00
10
11
00
10
00
00
11
10
00
00
10
00
11
10
00
10
01
00
10
00
10
00
00
00
00
11
11
00
11
10
10
01
10
10
01
00
01
00
11
10
01
00
11
11
00
01
10
10
00
10
10
00
00
10
00
10
00
10
11
00
00
11
10
11
00
00
11
11
10
10
00
00
11
00
01
00
01
11
01
01
10
10
00
10
11
10
00
10
01
00
11
11
10
01
00
10
11
11
00
10
00
00
10
10
00
10
00
10
01
00
00
00
01
11
11
10
10
10
10
10
10
00
01
11
10
11
01
00
01
10
10
10
10
01
00
10
00
11
10
10
00
00
11
00
10
10
11
00
11
01
01
11
10
10
10
00
10
10
00
10
00
01
11
11
01
00
11
10
00
10
10
10
11
10
01
01
11
00
11
11
10
00
10
11
00
10
11
00
10
01
00
10
10
10
01
10
00
10
01
00
10
01
10
10
00
01
10
00
01
10
11
00
10
01
01
10
10
10
00
01
00
01
10
00
00
01
11
10
01
00
10
10
10
10
10
00
00
10
11
10
10
11
00
11
10
11
10
11
00
10
10
00
11
10
11
01
11
00
10
10
00
10
00
10
11
11
00
10
10
00
10
01
01
01
10
01
00
11
10
10
01
00
01
10
10
00
10
10
00
10
11
10
11
01
00
00
00
00
00
11
10
01
10
01
00
11
10
11
00
01
00
11
11
01
00
10
10
11
00
00
10
11
01
10
10
11
10
10
00
00
00
00
00
10
00
01
10
01
10
10
10
00
01
11
00
00
00
11
01
11
11
00
11
00
11
01
11
10
11
00
00
00
10
10
00
00
11
11
00
01
11
00
01
00
10
10
00
10
00
00
10
10
00
10
00
00
01
10
10
00
00
10
11
00
11
00
11
01
01
11
00
00
10
10
00
01
10
10
10
00
11
00
01
10
00
10
11
10
00
00
10
10
00
00
10
10
10
10
11
11
00
10
00
00
11
01
10
00
00
10
00
11
10
01
11
11
10
10
10
11
10
01
00
10
00
00
00
00
00
10
11
10
11
01
01
10
00
11
00
10
10
00
00
00
10
01
00
10
01
00
11
10
10
11
11
00
00
10
10
00
00
00
11
11
11
00
00
11
10
10
00
00
10
00
10
11
11
11
00
00
00
00
00
10
10
00
00
10
10
00
10
11
10
01
00
10
00
10
10
01
10
11
00
01
10
11
01
11
11
00
00
10
11
01
01
01
10
00
11
01
00
10
00
10
11
10
10
00
00
00
00
10
10
01
00
11
10
10
10
00
00
00
01
11
01
10
10
00
11
10
00
00
10
10
10
11
10
10
10
10
00
11
10
10
00
00
11
00
10
01
10
10
00
01
11
11
10
11
01
00
00
10
10
10
01
00
10
10
00
10
00
10
10
00
00
11
01
00
01
00
10
11
00
00
00
01
00
10
10
10
00
10
11
00
00
11
00
10
10
01
00
11
10
11
00
00
10
10
10
00
11
10
00
10
00
10
11
10
00
01
11
00
10
10
00
10
10
11
10
11
10
11
00
00
00
00
10
00
00
01
00
01
00
10
00
01
10
00
10
00
00
00
00
00
10
11
01
10
00
00
00
11
00
10
11
00
00
11
11
00
01
10
11
01
10
10
01
00
11
10
00
10
00
10
10
10
00
10
00
00
10
10
10
00
10
00
00
00
00
00
10
11
11
11
01
00
00
10
11
00
00
10
10
11
10
00
01
00
01
10
01
00
11
00
00
00
10
01
11
00
00
10
11
01
01
10
10
00
00
00
00
00
11
10
11
11
00
01
11
10
00
01
00
00
10
00
10
10
00
10
11
00
01
00
10
11
10
11
00
10
10
11
00
11
01
01
01
00
10
10
00
01
10
10
00
11
01
10
00
10
00
01
10
00
00
01
10
01
00
11
11
00
11
10
00
00
11
01
10
10
01
00
00
00
11
00
00
11
01
00
11
10
01
11
11
00
11
10
00
00
10
10
00
00
00
11
11
00
10
00
10
10
10
01
00
11
00
10
11
10
01
01
01
10
10
01
00
01
10
10
11
11
11
01
01
10
10
11
00
01
10
10
00
00
00
10
00
00
11
00
00
00
10
10
10
00
10
00
01
11
11
01
00
01
10
11
01
01
00
10
01
00
01
01
10
10
00
00
00
00
10
11
10
01
00
00
00
01
00
10
11
00
00
10
00
10
00
01
10
11
10
11
00
11
10
10
11
00
00
11
00
00
01
11
10
10
10
00
01
10
00
01
00
00
11
11
01
00
01
10
00
00
11
11
01
10
00
01
11
00
10
10
01
11
00
10
00
11
10
10
00
01
11
10
00
00
00
00
10
10
00
00
11
01
00
10
11
11
00
00
10
10
10
10
01
10
10
00
00
10
11
00
00
10
10
10
01
11
10
00
10
10
10
00
11
01
11
10
10
10
01
10
00
01
11
00
00
10
10
00
00
11
00
00
10
10
00
01
11
00
01
01
11
00
00
11
10
01
10
00
00
10
10
00
01
10
11
11
10
10
10
11
00
01
10
10
00
00
00
10
11
11
10
01
00
10
00
00
01
11
10
00
10
10
01
01
00
10
00
00
10
10
11
01
00
10
10
11
00
10
10
11
00
00
10
11
00
00
00
01
10
10
00
00
11
01
00
00
00
10
10
00
00
11
10
11
01
11
01
00
10
00
10
10
01
00
10
01
00
01
01
10
10
00
00
11
01
00
11
10
01
10
01
00
10
00
01
00
10
00
01
00
00
11
10
11
10
01
00
00
10
10
01
01
11
00
00
00
11
00
01
10
10
10
10
00
00
01
10
00
10
00
10
10
00
11
11
10
10
01
00
10
00
01
10
10
00
10
10
01
00
01
10
00
01
00
00
00
10
11
01
10
01
01
10
10
11
00
10
10
10
10
00
10
01
10
10
01
10
00
01
00
10
11
01
00
00
01
10
00
10
10
00
10
00
00
10
00
10
10
01
11
00
10
00
00
11
10
11
11
11
11
00
10
00
10
10
01
00
01
00
10
10
00
10
00
01
10
00
10
10
00
11
00
10
00
01
10
10
01
00
01
11
11
00
00
01
10
01
10
10
00
10
10
01
00
00
11
11
10
11
10
01
10
10
11
00
01
10
00
01
01
10
01
00
11
01
10
00
10
00
00
01
10
00
00
11
01
10
10
01
00
01
11
10
00
11
11
00
10
10
00
00
10
11
00
10
00
00
00
11
11
01
11
10
10
11
01
01
00
10
11
10
00
10
00
01
00
10
11
10
00
00
11
10
10
11
00
00
11
01
11
01
11
10
01
10
00
00
10
00
00
11
10
10
00
00
11
10
10
10
00
00
10
11
11
11
10
00
00
00
00
11
00
10
00
00
01
00
10
11
00
00
00
00
10
00
01
11
11
00
01
00
00
00
00
00
11
10
00
00
11
01
00
01
10
10
10
10
10
00
10
10
00
11
10
11
00
11
11
01
10
10
01
11
01
01
00
00
10
00
10
10
01
00
11
10
00
11
10
00
01
00
10
00
11
10
00
00
11
10
01
00
00
01
00
10
00
01
10
10
00
10
10
00
01
10
11
10
11
01
10
00
01
10
00
01
10
11
01
00
10
00
00
11
11
00
01
11
10
00
10
11
10
10
11
00
00
00
10
00
01
00
10
11
00
11
11
10
11
00
00
00
11
00
10
10
01
00
11
00
01
10
10
01
00
10
10
10
01
11
11
01
01
11
00
00
10
10
00
00
11
11
01
01
00
11
11
00
01
01
10
00
10
01
00
01
10
11
10
10
00
10
10
11
10
00
01
11
10
01
11
11
00
00
10
01
10
00
00
11
01
00
10
11
00
01
10
01
10
10
10
00
01
10
00
01
10
01
01
11
01
00
00
00
11
10
01
00
11
00
01
10
11
00
00
01
10
10
10
10
00
00
00
11
10
00
10
01
10
00
10
11
00
10
10
01
11
10
00
00
11
00
10
10
00
10
10
00
11
10
11
10
00
10
10
00
00
00
10
10
11
10
11
00
01
11
10
00
00
01
10
10
10
01
11
00
10
01
10
10
00
11
00
11
11
00
01
00
00
10
01
00
10
10
10
10
10
10
10
10
01
10
00
11
01
10
11
11
11
00
01
10
10
10
01
01
01
00
11
10
00
10
11
01
01
10
10
00
00
10
01
00
10
01
00
01
00
10
01
10
10
00
01
11
01
10
00
11
11
00
01
00
10
00
00
11
10
10
00
01
10
11
10
00
10
10
01
10
00
00
00
10
10
00
00
11
00
00
01
00
11
00
00
01
00
10
10
11
01
00
10
10
10
00
10
00
10
10
00
01
10
10
11
00
11
10
00
00
11
11
00
00
10
01
01
00
00
00
10
11
00
10
10
01
01
10
10
10
10
11
10
00
00
10
00
01
11
10
10
01
01
11
01
11
01
00
11
01
00
11
10
00
00
10
10
10
00
01
00
10
10
10
00
00
10
11
00
01
00
11
11
00
10
10
10
01
11
10
10
00
00
00
10
10
01
00
01
10
00
10
11
10
01
01
11
00
01
10
10
10
01
00
10
10
00
11
10
01
01
00
11
10
10
00
10
10
00
11
10
00
00
10
10
11
00
00
00
01
01
10
10
00
10
10
00
11
01
11
10
00
11
11
10
10
00
00
10
10
00
11
10
00
01
11
10
10
11
00
00
10
10
10
10
00
00
00
01
00
10
10
00
10
00
10
01
10
01
10
00
10
01
01
10
00
10
10
10
00
11
00
11
00
01
00
11
10
00
11
01
10
11
01
00
00
01
10
10
00
00
10
11
10
01
11
10
00
00
00
10
11
01
00
10
00
00
01
10
10
10
00
10
00
10
10
01
10
00
00
11
10
00
00
10
01
11
01
00
00
11
10
10
01
10
10
11
00
00
00
00
11
01
10
00
11
10
00
01
00
11
10
01
10
01
10
00
00
10
01
11
11
01
01
11
00
00
00
00
10
11
11
01
01
11
10
10
11
01
10
01
11
01
00
01
01
10
01
00
00
10
10
00
10
11
10
10
10
11
01
01
10
00
01
00
01
10
10
01
00
11
10
00
01
00
10
10
10
00
01
11
10
10
00
00
11
10
00
01
00
10
11
01
10
00
01
01
10
11
00
11
10
00
11
01
00
10
10
00
10
11
11
00
00
10
01
00
10
11
00
00
00
10
00
10
10
00
00
10
00
00
11
10
11
01
00
10
00
00
10
10
11
11
10
10
00
00
00
00
11
00
01
11
00
10
10
10
11
01
00
11
11
10
11
00
10
10
00
00
10
00
00
01
00
10
10
00
11
10
10
00
10
10
10
00
00
11
01
10
10
10
10
00
10
00
01
10
01
10
10
10
10
00
10
00
00
10
01
11
10
11
10
00
00
00
11
00
00
11
11
01
00
10
10
00
11
00
00
11
00
01
10
01
10
10
00
01
01
00
11
10
00
10
10
10
10
01
00
11
01
11
00
10
10
01
01
11
10
01
01
11
10
01
10
10
01
00
00
10
00
00
00
10
10
00
10
11
00
00
10
11
11
10
00
00
11
10
01
01
11
10
10
00
10
10
00
00
10
11
01
01
10
11
00
11
00
01
11
10
00
00
10
11
00
10
01
00
00
10
11
11
10
10
10
00
11
10
01
00
00
00
01
10
00
01
10
10
10
10
00
11
11
11
00
11
10
10
01
10
00
00
11
11
00
00
10
10
01
10
00
00
01
00
10
01
11
01
10
11
00
00
00
00
11
00
00
11
10
11
00
01
11
10
00
01
00
10
10
11
01
01
10
10
10
10
11
00
00
10
01
00
11
10
00
00
11
11
11
00
00
01
10
11
10
00
01
10
10
10
00
11
01
00
10
00
00
10
00
10
00
01
10
10
11
01
11
10
01
10
11
00
00
00
11
10
00
00
11
11
00
10
00
10
10
01
00
10
10
10
11
10
11
00
00
00
10
00
00
10
10
10
10
10
10
00
10
11
10
10
00
10
11
01
00
01
00
00
10
10
10
10
01
00
10
00
01
10
00
01
10
10
00
11
00
01
11
00
10
11
10
00
01
10
10
10
00
11
01
00
11
00
10
10
10
11
00
00
10
11
10
01
00
11
01
11
00
11
00
11
00
01
11
10
00
01
10
00
01
10
10
00
01
01
00
10
00
10
00
00
01
11
01
01
10
10
10
01
10
10
01
00
11
10
11
10
10
01
01
10
11
10
00
10
01
00
10
10
01
00
00
10
10
01
10
01
10
11
11
10
01
00
00
01
00
10
11
00
00
10
10
11
11
00
00
10
00
11
00
11
10
00
00
10
00
00
00
11
10
10
00
01
10
10
00
00
10
11
10
01
10
01
01
11
00
11
00
01
00
11
10
01
00
11
10
00
00
01
00
11
10
10
00
10
00
10
10
01
00
10
10
00
10
10
00
00
00
00
00
11
01
01
10
10
01
01
00
11
00
00
10
10
10
10
11
10
10
10
01
01
00
10
11
00
00
01
10
00
11
11
01
01
10
01
10
01
00
00
01
00
10
10
11
00
10
01
10
01
10
00
01
00
00
10
00
00
10
00
00
00
00
00
11
11
01
10
11
00
00
11
10
00
11
01
00
10
10
01
11
10
10
00
00
10
01
10
11
00
10
01
10
00
00
10
10
10
10
00
00
10
01
00
00
10
01
00
00
11
11
10
10
10
10
01
00
10
11
00
00
01
10
00
00
10
10
10
11
11
01
00
10
10
01
10
11
00
00
11
11
10
00
10
10
00
01
00
10
11
00
00
10
11
00
11
00
00
11
00
11
00
10
10
01
01
10
10
11
00
00
10
10
00
01
00
00
10
10
10
00
10
11
00
10
01
00
00
10
01
00
11
10
01
10
11
00
10
00
00
10
11
01
10
10
01
01
01
01
00
10
11
01
10
10
00
10
00
00
11
10
00
10
00
10
01
10
00
00
00
00
00
01
10
00
00
00
00
10
10
00
00
10
00
11
10
11
00
00
10
00
11
00
11
10
11
01
11
01
00
10
00
01
10
00
00
00
00
10
10
10
11
01
00
11
01
00
01
00
11
00
10
11
00
00
10
00
10
11
00
00
00
10
10
10
10
10
01
01
10
10
00
10
11
01
00
01
10
10
10
00
10
11
10
01
00
10
00
01
10
10
01
00
10
10
00
00
00
01
11
10
11
00
00
11
00
01
10
10
01
01
10
10
10
00
11
01
10
10
00
00
01
01
10
01
00
00
00
00
11
11
01
11
10
00
00
11
01
01
11
10
00
01
00
10
10
10
01
11
10
00
10
10
00
00
10
11
00
00
10
00
01
00
11
10
11
00
10
10
01
00
10
00
00
01
00
10
11
10
11
01
01
00
10
10
01
10
10
00
10
11
11
10
01
10
11
10
00
01
10
11
01
01
10
00
10
11
00
01
00
11
11
01
10
11
11
00
10
00
01
10
10
00
10
10
00
01
10
01
00
11
00
00
00
01
01
10
11
00
01
00
00
10
00
01
10
10
00
01
00
10
01
10
11
10
01
00
11
00
01
10
11
00
01
10
11
11
01
10
00
00
10
10
00
00
11
10
10
10
10
00
00
10
00
00
00
00
11
00
01
11
11
10
10
10
10
01
10
10
00
00
10
00
10
10
00
11
01
10
00
00
10
11
01
01
10
11
01
10
01
01
00
10
10
11
00
10
10
10
00
10
00
01
00
00
10
00
10
10
01
10
11
00
00
00
10
00
00
00
11
01
01
00
10
00
00
00
00
10
10
01
00
11
10
00
10
10
00
11
00
11
10
11
10
10
11
00
01
11
10
10
00
11
11
10
10
00
11
11
01
01
00
11
10
10
10
00
01
10
00
00
01
11
00
00
10
01
11
10
00
00
10
10
00
11
00
01
10
00
11
10
00
00
11
10
01
01
00
10
10
01
10
10
00
11
00
10
10
00
11
11
11
00
01
10
01
11
11
00
01
10
01
00
10
00
01
10
10
00
10
11
01
00
10
10
00
00
10
10
10
00
10
10
00
00
01
10
10
10
01
10
10
11
00
01
11
00
00
10
10
01
10
01
10
10
01
10
11
01
10
10
10
10
00
00
11
11
01
01
10
10
00
10
10
00
00
11
10
11
10
00
01
00
11
10
11
00
00
11
00
11
10
11
00
11
00
00
10
10
10
00
00
10
00
10
10
00
10
10
00
00
01
01
00
11
00
10
11
00
00
11
00
01
10
10
10
01
00
11
11
10
10
01
11
10
10
00
00
10
10
00
01
10
11
00
00
10
01
10
10
11
00
01
10
11
10
00
10
00
00
11
01
00
00
11
10
00
00
00
10
11
11
10
10
01
10
10
11
00
00
10
00
00
11
10
00
10
00
01
10
10
11
01
11
01
00
01
00
00
00
10
10
01
00
11
10
01
00
11
10
00
01
11
10
00
00
10
01
01
10
00
10
10
01
00
01
11
10
01
10
11
00
11
11
01
11
11
10
00
01
10
01
00
10
10
10
10
00
10
11
01
00
00
01
10
10
10
00
11
01
00
11
00
01
10
01
10
10
00
00
00
10
00
00
00
10
00
11
10
10
10
10
11
00
11
01
11
11
10
01
00
01
00
11
10
00
10
10
00
01
00
10
11
11
10
00
10
10
10
00
00
10
10
00
10
10
11
10
10
01
10
01
10
11
00
10
10
10
00
00
11
01
10
00
10
11
10
10
10
00
01
00
00
00
10
10
01
00
11
00
00
00
10
11
00
11
10
11
00
11
10
00
00
10
01
01
11
11
10
01
10
01
00
10
10
11
10
00
11
11
10
10
11
01
10
00
01
00
11
00
10
10
00
01
00
11
10
00
00
11
00
10
10
01
11
00
00
00
00
10
01
10
10
00
01
10
00
00
10
10
01
10
01
11
10
01
10
00
00
00
11
11
00
00
10
10
00
10
01
01
10
00
00
10
11
00
10
01
10
00
10
10
11
10
11
00
10
10
10
10
11
01
00
11
00
01
10
00
00
10
11
00
10
10
00
10
10
00
10
10
00
00
00
10
00
00
10
10
00
01
00
00
01
11
10
10
00
01
10
00
00
10
00
10
10
00
10
10
10
10
10
11
01
10
11
10
00
00
11
01
11
10
00
11
10
00
10
11
00
10
10
00
10
01
00
11
10
00
10
00
00
10
11
01
10
10
00
10
00
10
10
10
11
11
00
00
01
01
11
00
01
00
11
01
00
10
11
00
10
11
01
11
11
00
10
11
01
10
00
00
10
10
00
10
00
00
10
01
11
11
00
01
01
11
11
00
10
11
01
00
01
00
11
10
01
10
00
00
11
11
10
11
10
00
00
10
00
10
10
00
10
11
10
11
01
11
00
00
10
11
00
00
11
10
10
11
10
00
10
10
01
10
00
10
01
00
00
10
01
11
10
10
00
00
00
10
10
10
00
00
10
00
01
10
00
10
11
11
10
11
10
00
01
10
00
01
00
10
10
11
10
10
10
00
00
10
10
11
10
11
01
11
11
10
00
10
10
10
00
11
00
00
00
10
11
00
10
10
00
00
10
01
00
10
01
10
01
00
00
10
10
00
11
10
00
00
00
00
01
01
10
10
10
10
01
00
01
11
01
00
10
00
00
10
01
00
10
10
10
00
10
01
00
00
10
11
11
11
01
10
10
00
10
00
11
00
01
01
10
00
11
00
10
10
01
10
01
01
11
00
01
01
00
10
00
11
10
01
01
10
10
00
00
11
10
00
01
10
00
10
00
00
00
00
10
11
10
00
00
11
11
00
10
00
00
01
00
10
10
10
10
10
11
10
01
10
00
10
00
11
10
10
00
11
00
01
10
00
00
00
11
01
00
10
10
00
11
10
00
01
00
01
01
10
10
00
10
11
10
00
00
10
10
11
00
01
11
10
11
10
10
00
10
10
00
10
10
10
00
00
00
10
10
00
00
01
00
01
00
01
01
00
11
11
10
11
10
00
11
01
00
10
10
01
00
00
11
10
00
00
00
00
10
11
00
10
10
00
00
10
01
11
11
00
00
00
10
01
00
10
10
00
10
10
01
00
11
10
00
10
01
00
10
01
10
10
01
10
01
11
01
00
00
10
10
00
10
11
00
11
10
00
10
11
10
00
11
01
00
01
11
11
00
01
00
11
10
00
01
00
01
11
01
01
00
00
10
00
01
10
10
00
11
01
10
10
11
11
10
10
00
00
00
10
11
00
00
10
10
00
10
10
00
00
10
10
10
11
11
01
01
01
01
10
00
10
10
01
01
10
10
00
01
01
00
10
00
01
00
11
11
11
11
00
11
10
10
00
10
10
00
00
11
10
10
00
00
00
10
00
00
01
00
10
00
10
10
10
01
00
10
01
00
10
00
00
00
00
10
10
10
01
10
01
01
01
00
01
11
10
00
00
10
11
11
00
00
10
00
00
00
10
10
01
00
10
00
00
00
00
00
10
11
00
10
10
00
01
00
10
00
10
10
00
00
10
00
00
11
01
01
10
11
10
00
10
00
00
10
10
10
00
10
10
00
11
10
01
01
10
00
00
00
00
11
10
00
10
00
11
01
01
10
10
10
10
00
10
00
10
11
01
10
11
01
00
01
00
11
11
10
01
00
00
10
11
00
10
10
11
10
10
10
00
11
11
10
01
00
10
10
11
00
10
10
00
10
11
10
00
01
10
10
10
01
11
10
00
10
11
10
00
00
01
10
10
10
10
00
10
01
00
01
11
10
00
11
10
10
10
00
11
11
11
00
00
10
00
01
10
01
00
10
10
00
01
00
10
10
00
10
10
00
01
11
00
01
11
11
01
01
00
00
00
10
01
10
10
00
10
00
11
10
00
01
00
10
01
11
11
10
00
00
10
00
00
11
10
01
11
10
11
10
01
00
11
11
00
10
11
01
10
11
00
00
11
11
00
00
10
10
11
00
01
11
00
11
10
00
10
00
11
00
01
10
00
11
10
00
11
01
00
01
01
10
11
01
00
11
10
00
01
01
10
00
10
10
11
01
11
01
01
11
11
00
01
10
10
01
00
10
10
00
10
10
10
10
10
01
10
10
00
11
11
10
00
10
00
10
10
00
00
11
01
00
00
10
10
10
00
00
10
10
00
11
00
00
00
10
10
10
11
00
00
00
00
11
00
10
10
10
00
01
11
01
11
01
00
10
00
10
10
00
01
11
01
01
11
11
10
01
00
01
11
11
11
11
01
10
01
00
10
10
00
00
10
11
00
00
11
00
00
11
11
00
01
10
10
00
00
00
10
10
00
01
11
01
10
01
00
11
10
11
00
01
00
10
11
10
11
01
01
10
00
10
10
10
00
11
11
01
01
10
10
01
01
00
00
10
10
10
10
10
10
10
00
10
00
10
00
10
00
01
10
01
11
00
11
11
01
00
11
11
00
10
10
01
00
00
10
10
10
00
11
11
01
01
00
10
00
10
00
00
11
10
00
00
00
10
00
01
10
10
10
00
00
11
10
11
11
00
10
00
00
00
10
10
10
01
00
01
01
01
00
10
00
10
10
10
01
00
00
10
10
10
10
01
00
11
10
01
01
11
00
00
11
00
00
10
10
11
00
00
01
00
10
00
10
10
11
11
01
10
01
00
10
00
01
10
11
00
00
00
00
11
11
01
00
11
00
10
01
00
00
10
10
01
00
01
01
10
00
00
11
00
10
10
10
00
01
01
11
10
11
00
11
01
00
00
10
01
11
00
11
10
10
00
11
11
00
10
01
10
10
10
01
00
11
00
01
10
11
10
11
11
01
01
00
11
11
00
01
00
10
10
00
10
01
00
00
00
00
00
10
00
10
01
00
10
11
01
10
10
10
10
00
00
00
00
10
00
11
11
10
01
01
00
01
01
10
00
10
10
11
00
00
00
00
11
11
10
10
10
00
00
00
10
11
00
00
00
01
00
10
00
10
10
11
10
01
01
00
00
11
00
11
10
11
10
00
01
00
00
01
10
10
01
01
00
11
11
11
10
01
00
11
11
11
00
00
10
00
10
10
00
00
01
10
10
01
00
00
01
11
11
10
10
10
00
10
11
01
01
00
10
01
00
11
00
00
10
10
00
10
00
00
11
11
11
01
10
00
10
10
10
01
01
01
10
00
10
01
00
10
10
00
01
10
10
01
01
00
00
10
00
01
10
00
00
11
10
01
01
00
00
10
10
10
00
01
00
00
01
00
11
10
10
00
01
01
00
10
10
10
01
10
11
01
00
01
11
11
10
01
11
00
00
10
00
00
10
10
00
00
10
00
10
00
01
00
10
00
10
11
10
00
10
10
01
10
11
00
11
00
11
00
00
10
10
00
01
01
10
01
00
00
00
11
10
00
10
01
11
10
00
01
10
00
00
11
10
11
11
01
01
10
10
10
10
01
00
10
11
11
00
01
10
00
01
00
01
10
01
10
01
11
00
00
10
00
00
10
11
10
11
00
10
10
00
00
01
00
11
00
11
10
00
10
10
00
00
10
00
11
11
00
00
11
11
00
10
11
00
00
10
10
10
00
11
01
11
10
10
11
00
01
00
00
10
00
10
11
11
01
10
10
00
10
00
00
01
10
11
10
00
01
10
01
00
00
10
00
00
00
00
10
00
00
00
11
11
01
00
10
01
10
11
00
11
10
10
00
00
11
10
00
00
01
00
01
11
00
10
11
10
01
00
11
10
01
11
10
11
11
00
00
00
11
00
10
10
00
11
00
11
00
01
10
01
10
00
00
11
10
01
10
10
00
01
00
11
10
10
10
10
10
01
01
00
10
00
11
10
10
00
01
11
00
11
00
11
10
11
00
01
10
11
11
00
01
11
10
00
00
10
11
01
00
00
11
01
10
10
10
11
01
00
10
00
01
01
00
10
11
00
00
00
01
00
10
10
10
10
10
01
00
10
10
01
10
10
11
01
10
11
10
10
11
01
10
10
10
00
10
10
00
10
00
10
10
10
10
11
01
00
00
10
10
00
11
01
10
11
01
00
00
11
00
10
00
01
10
11
01
10
01
00
01
01
11
10
00
10
00
11
10
10
10
10
01
00
01
01
00
01
10
01
00
01
11
00
00
10
10
01
00
10
10
10
01
11
00
00
10
00
10
01
11
11
10
00
10
00
11
10
00
00
01
00
01
10
11
10
00
00
11
01
00
00
10
11
00
10
00
01
00
10
10
00
11
10
11
00
00
00
00
00
11
10
00
01
11
10
10
10
00
11
11
00
00
00
11
10
10
00
11
11
10
11
00
00
10
00
00
10
01
00
11
11
00
00
01
01
11
00
01
01
00
10
10
11
10
11
00
01
10
10
00
01
10
11
00
01
10
00
00
00
11
10
00
00
10
10
00
01
01
00
10
01
10
10
10
00
01
10
11
00
10
10
01
11
11
10
01
10
11
00
00
01
10
10
10
10
00
10
00
00
00
00
10
11
11
10
11
10
01
10
10
01
00
01
10
11
00
00
10
10
10
01
00
00
00
11
10
10
00
11
10
01
10
11
00
10
01
10
00
00
11
10
10
10
00
01
00
11
01
10
00
00
10
00
00
00
11
11
10
10
00
10
00
00
00
00
10
11
01
00
00
10
00
10
10
00
01
00
01
00
11
01
11
11
01
00
10
10
00
00
00
10
11
10
00
01
01
10
11
11
11
00
00
00
11
01
01
01
10
00
00
11
10
11
00
10
00
00
01
01
01
10
00
11
11
10
01
00
10
10
00
11
01
10
10
00
01
00
10
10
00
11
00
00
10
10
00
11
01
11
01
01
11
10
10
10
11
10
00
01
10
10
10
01
10
11
00
00
11
10
00
00
11
10
10
00
10
10
00
10
10
01
10
00
10
00
00
00
10
10
00
10
00
00
01
10
01
00
01
00
11
11
10
11
10
01
00
01
10
01
00
11
10
00
10
10
10
01
10
01
10
00
01
11
10
11
11
00
10
11
01
01
00
00
11
10
00
10
11
00
01
10
10
00
01
00
00
11
00
10
10
10
00
10
11
00
00
01
00
11
11
11
01
01
01
00
00
11
10
10
01
01
10
01
01
11
00
00
10
10
10
01
00
10
01
00
10
10
00
00
01
01
11
00
10
11
10
01
00
11
10
00
01
10
11
10
11
00
10
10
00
11
10
11
00
00
10
10
10
00
11
10
11
00
00
01
10
10
00
10
10
10
00
10
10
00
10
01
01
01
01
10
10
11
10
01
00
10
10
10
10
01
10
10
11
00
00
00
00
00
01
10
00
00
00
00
10
10
11
00
00
01
10
10
00
01
00
00
11
10
10
00
11
01
01
00
10
11
10
00
01
10
10
11
00
00
01
10
00
10
10
00
01
11
00
01
00
00
01
11
00
00
10
00
00
11
10
01
01
01
10
00
01
11
11
00
00
11
10
10
11
00
00
11
11
00
00
00
10
11
00
00
01
10
00
10
10
10
10
00
11
00
00
00
00
00
11
11
10
01
10
01
11
10
01
00
10
00
01
10
11
00
10
00
01
00
10
01
01
10
00
11
00
01
11
01
10
11
10
00
00
00
10
10
01
00
10
00
00
10
01
11
10
00
11
00
10
01
00
11
11
00
01
01
11
10
00
01
10
01
01
00
10
10
11
00
00
10
10
10
10
00
00
11
01
00
10
10
10
00
00
00
10
10
00
10
00
11
11
10
10
00
00
10
11
00
11
11
11
00
11
00
10
00
00
01
10
11
01
00
01
01
11
10
10
00
00
00
10
00
00
11
11
00
00
00
00
11
11
00
10
10
11
11
11
00
01
11
01
00
10
01
00
00
10
10
01
00
10
01
00
00
10
00
10
10
01
00
00
10
11
10
10
00
10
10
00
11
01
01
10
11
10
00
10
10
00
00
10
10
10
00
11
00
00
11
10
10
00
11
10
00
00
10
10
00
10
10
10
01
11
00
00
00
10
10
10
01
11
10
11
00
00
11
00
01
10
01
11
01
10
11
01
01
10
00
10
10
11
01
10
11
10
00
00
00
00
10
10
00
10
11
11
00
10
10
10
10
01
00
10
01
00
11
01
11
10
11
00
01
00
10
01
00
00
10
00
00
00
00
10
00
00
01
00
00
11
10
00
00
00
10
01
01
10
11
01
10
11
01
10
10
00
00
11
00
01
10
11
00
10
10
10
00
01
00
10
00
10
00
00
00
11
10
10
11
00
00
10
10
10
10
00
00
10
00
00
11
00
01
01
11
01
11
10
00
01
10
00
00
10
10
00
00
10
10
10
10
00
00
10
10
10
01
10
10
01
00
00
11
11
00
11
01
00
01
10
10
01
01
11
11
11
11
00
00
01
10
10
01
01
10
01
01
11
01
01
10
01
10
10
11
01
00
01
00
11
10
01
11
00
00
10
10
00
00
10
10
01
00
00
10
11
11
01
10
10
10
00
11
00
10
11
00
01
00
00
00
00
10
10
00
10
11
00
10
00
01
01
10
10
10
00
01
00
10
10
11
00
00
10
10
10
00
11
10
00
00
10
10
00
11
01
00
11
11
01
11
11
11
11
11
00
00
10
11
01
01
11
11
10
00
10
00
00
10
10
01
10
11
00
10
01
01
00
10
10
00
00
00
10
00
00
11
11
00
10
10
00
11
00
11
10
10
00
00
11
00
11
11
01
01
11
00
00
10
10
01
01
10
10
10
00
00
00
10
10
00
01
00
01
11
00
10
10
10
10
00
01
10
11
01
11
10
01
00
00
00
00
10
00
10
11
00
00
01
00
00
10
00
11
10
00
10
10
00
11
00
01
00
10
00
01
10
01
10
10
01
00
11
11
10
00
00
10
10
11
00
00
10
10
11
00
00
01
11
01
11
10
11
10
11
11
10
00
00
00
10
00
00
10
11
00
01
11
01
00
11
10
00
00
10
11
10
01
00
10
10
00
00
01
11
11
10
00
01
10
10
00
10
00
11
11
00
00
10
11
10
01
00
11
10
11
00
00
00
00
00
11
00
00
10
00
10
10
10
00
10
11
11
00
11
11
00
01
10
10
10
01
00
00
10
11
10
11
11
01
10
00
11
10
10
00
11
11
00
01
11
01
01
10
11
00
00
11
00
01
10
00
00
10
11
00
10
10
11
01
00
11
10
10
00
00
00
00
01
10
10
10
01
10
00
00
10
00
01
01
00
10
10
00
10
11
00
10
10
00
10
00
00
01
11
10
01
10
11
10
10
10
00
11
11
00
01
00
01
10
10
01
10
11
01
10
10
01
01
10
00
00
10
10
10
00
00
11
00
00
11
11
10
00
01
10
10
10
00
10
11
00
00
10
10
10
10
10
01
10
10
10
01
01
01
10
10
00
00
00
01
00
10
10
10
11
00
00
00
00
10
01
00
10
10
11
11
00
00
00
11
00
11
00
00
10
11
00
00
00
11
10
11
11
01
00
11
00
01
10
11
11
01
10
00
10
01
01
10
10
01
01
00
11
00
00
10
01
00
00
11
10
00
00
10
10
00
00
10
10
10
10
00
10
00
00
01
11
11
10
11
11
10
10
00
01
11
00
00
01
10
10
01
01
11
00
11
10
00
01
10
11
01
00
00
11
00
00
11
10
11
00
11
10
10
00
10
11
00
10
00
11
10
10
00
10
11
11
01
00
00
11
10
10
01
00
10
10
00
11
00
00
11
00
10
00
11
10
01
10
00
00
10
11
01
00
10
01
01
00
10
00
01
01
11
00
11
10
00
00
01
11
11
01
00
11
01
10
10
01
00
10
10
00
11
11
01
01
11
10
11
10
11
00
00
10
10
11
00
00
11
00
00
00
01
10
01
00
10
10
01
11
10
01
01
00
10
10
00
00
01
10
10
00
01
10
11
11
10
01
01
01
10
10
01
00
10
10
10
10
00
01
10
10
11
11
11
10
10
00
00
00
10
10
01
01
00
00
00
00
10
00
00
11
10
00
00
00
10
00
00
11
10
11
10
10
10
11
00
00
11
10
00
01
11
10
00
00
10
11
00
01
10
11
00
00
10
10
11
00
00
11
10
01
10
11
11
11
10
00
00
10
10
11
00
01
11
10
01
11
10
00
01
10
00
10
11
00
11
10
11
00
11
10
00
00
10
00
11
01
00
00
10
00
10
01
01
00
00
10
00
00
01
10
10
00
10
10
10
00
11
10
01
10
11
01
10
00
10
00
00
10
10
10
00
00
00
00
01
00
10
00
00
01
01
10
10
10
10
00
10
11
01
00
10
10
10
00
11
10
11
10
00
00
00
00
00
00
11
10
01
10
00
00
01
10
00
00
10
10
01
00
10
11
10
10
11
11
11
00
00
00
00
10
10
00
00
10
00
10
10
01
11
10
11
01
11
00
01
00
10
00
00
00
10
10
00
00
11
00
00
10
00
00
10
00
00
10
10
11
00
00
00
01
00
11
10
10
10
10
00
10
11
10
11
10
01
10
11
00
01
11
10
11
11
10
00
10
10
00
00
11
00
01
10
11
10
00
10
10
00
00
10
10
00
00
00
00
10
00
00
01
00
10
10
00
10
00
00
10
00
11
01
00
10
10
11
10
10
00
01
11
10
00
01
10
01
10
10
01
10
10
00
11
11
10
10
10
00
00
00
01
01
00
00
10
11
10
00
11
11
11
11
01
10
11
00
01
11
10
00
10
10
00
11
01
00
00
00
00
10
11
11
01
01
00
11
00
01
10
00
10
11
00
00
00
10
01
10
01
00
00
01
10
10
00
10
11
00
00
10
00
01
00
00
11
00
00
10
00
10
10
00
10
11
00
10
00
10
10
00
00
10
11
10
11
01
10
10
10
11
00
01
10
11
11
10
10
01
00
10
00
00
10
10
00
00
10
01
11
10
10
00
10
00
11
10
10
00
01
01
00
11
01
00
10
00
10
01
10
11
11
00
10
00
10
10
10
00
00
10
01
00
10
10
10
10
00
01
01
11
11
00
00
10
10
01
10
00
00
10
11
00
10
01
11
11
00
00
10
00
00
10
11
01
00
00
00
00
10
01
00
01
10
10
10
00
01
10
11
00
10
10
10
10
01
10
10
10
00
00
10
11
00
00
11
11
10
00
01
10
10
01
10
10
00
01
11
10
01
10
11
10
01
00
10
10
00
10
10
10
00
10
00
00
10
10
00
01
00
10
00
00
00
01
11
11
10
11
11
00
01
11
00
00
10
10
00
10
11
00
10
11
00
10
10
11
01
10
11
00
10
01
00
10
11
11
00
11
01
00
00
00
00
10
11
10
01
00
01
00
00
11
00
10
10
10
01
00
10
11
00
01
11
10
01
01
10
00
11
10
10
01
01
00
11
00
00
10
00
01
10
01
00
01
10
00
10
11
00
10
10
00
01
10
01
11
00
01
01
10
00
11
11
10
10
01
10
00
00
01
10
11
01
00
00
01
10
11
10
10
00
00
00
10
01
00
00
00
00
00
10
01
00
00
01
10
10
11
01
10
01
00
10
10
00
00
00
00
10
01
10
11
10
10
11
00
10
10
11
00
01
00
10
00
01
01
10
11
00
11
00
00
00
10
00
10
11
00
10
11
11
10
11
01
10
11
00
00
01
10
00
00
11
10
00
10
01
01
10
00
10
11
00
00
00
01
00
10
01
11
10
01
11
01
10
10
00
00
00
00
11
11
00
11
10
10
00
01
10
01
11
10
10
00
10
00
00
10
00
11
11
01
11
10
10
10
00
00
00
10
10
00
00
10
00
10
00
11
00
00
00
10
01
10
00
01
00
10
11
00
10
01
00
10
10
00
11
10
11
00
01
00
11
10
00
11
10
00
01
01
10
00
11
10
11
01
00
10
11
01
00
00
11
10
01
00
11
10
00
10
00
10
01
10
10
00
00
00
00
10
01
00
00
01
11
11
10
00
11
10
00
10
10
00
01
10
00
10
10
00
01
10
10
00
10
10
11
10
00
01
11
01
11
00
00
00
10
11
10
00
01
00
10
10
01
10
11
10
01
00
10
00
01
01
01
10
11
00
11
00
10
10
00
00
11
10
00
00
00
10
10
01
11
00
10
11
10
11
00
00
11
10
00
00
10
10
00
10
00
01
10
11
00
00
11
10
01
01
00
11
00
10
10
10
11
00
01
10
00
10
10
00
00
11
11
10
10
00
10
00
10
10
00
10
11
10
00
10
10
10
11
00
00
00
10
10
10
00
01
01
00
10
10
01
00
11
10
11
11
01
00
10
00
00
11
00
00
10
00
10
10
00
00
11
11
00
11
10
01
00
11
00
00
10
10
10
10
10
11
10
10
00
11
10
00
01
00
10
10
00
10
11
10
11
01
10
01
10
00
10
10
01
10
10
00
01
00
00
00
00
11
11
11
00
11
10
10
01
00
10
11
00
11
00
10
10
00
00
10
00
00
10
10
10
00
10
00
10
11
00
00
10
10
10
11
01
10
00
00
10
10
10
00
00
10
00
10
11
10
01
11
10
00
00
10
11
00
10
10
11
00
00
10
01
11
10
01
01
00
00
01
00
01
01
01
10
10
01
00
00
10
00
00
11
00
10
00
01
10
10
00
00
10
00
10
10
00
00
10
11
00
10
10
00
10
00
10
00
10
00
00
00
01
00
00
10
00
11
10
00
01
10
01
01
00
01
10
10
01
01
10
10
01
01
00
00
10
00
00
10
10
10
00
00
10
10
10
00
01
10
00
11
00
10
00
00
10
10
10
10
00
00
10
00
10
11
10
00
01
11
00
00
01
11
00
01
11
11
11
01
00
11
00
00
11
10
01
01
00
10
10
11
01
01
10
01
11
01
10
10
00
10
01
00
11
10
00
00
01
01
10
01
01
10
01
00
10
10
01
01
11
10
11
10
01
00
00
00
10
10
01
01
00
11
10
11
10
00
10
10
01
00
11
00
01
11
10
10
11
11
01
00
00
00
11
10
00
01
10
11
00
01
10
10
11
00
10
10
01
01
00
10
11
01
10
00
00
10
10
10
00
01
10
10
00
10
11
10
10
00
11
10
00
00
10
00
10
00
10
00
01
10
00
11
10
10
01
10
10
01
01
10
00
00
11
00
10
00
10
10
11
00
00
10
01
10
00
10
00
01
11
10
11
10
00
01
10
00
00
10
10
11
00
01
10
00
01
10
00
11
00
01
10
11
00
00
01
10
00
00
10
10
00
01
10
10
01
00
01
11
10
10
01
00
11
00
10
10
01
00
11
10
00
01
00
11
10
00
10
10
11
00
00
11
10
00
01
10
01
10
00
00
11
10
00
00
10
00
11
10
01
10
10
10
01
10
00
00
00
00
11
10
11
10
01
00
10
00
11
11
11
00
01
10
11
10
00
01
10
10
01
00
11
10
00
00
10
10
10
10
01
01
01
10
00
10
10
00
10
00
01
00
01
10
10
10
00
10
10
10
01
00
11
10
00
01
00
10
00
00
00
01
00
10
10
00
00
10
01
10
10
00
00
01
10
00
11
00
11
10
00
00
11
10
00
00
10
10
10
01
10
00
01
10
10
00
01
10
10
01
00
11
10
01
01
00
00
00
01
11
10
01
11
00
00
01
10
01
11
11
11
01
00
00
11
00
10
10
01
00
00
11
00
11
10
00
00
10
01
10
11
00
01
10
11
11
11
00
00
00
10
10
00
10
10
10
00
10
01
00
00
10
10
01
11
10
10
10
00
00
10
10
10
00
01
10
11
10
01
00
01
00
00
10
10
01
10
11
11
10
11
01
01
10
11
01
10
11
01
11
00
01
10
10
01
00
11
10
10
00
00
10
01
10
11
00
11
01
00
00
11
01
11
00
11
11
00
00
00
01
11
11
11
01
11
10
10
01
01
01
10
00
00
10
11
01
11
11
10
10
10
10
01
00
10
01
10
10
01
00
00
10
00
10
01
00
00
00
11
00
10
00
01
10
11
10
11
00
10
10
11
00
00
00
10
01
10
00
10
10
00
10
10
01
00
11
00
11
10
00
00
11
01
00
10
10
10
11
11
01
10
00
10
10
10
10
01
10
11
11
00
00
10
00
11
10
00
00
10
10
10
11
00
01
11
10
10
10
00
11
10
10
01
00
10
00
11
00
10
01
10
11
00
00
00
10
10
01
10
10
11
01
00
01
00
10
11
01
10
11
10
00
00
11
00
10
10
10
00
11
10
00
00
10
01
11
11
00
10
00
10
10
00
11
10
00
01
10
00
00
00
01
01
10
11
10
01
10
10
11
11
10
01
00
00
01
11
10
10
10
10
00
10
10
10
01
00
10
00
11
01
01
10
11
00
00
00
10
00
00
00
10
11
01
01
11
10
10
00
00
00
10
10
01
10
10
01
00
01
11
01
00
11
00
10
10
00
10
00
00
10
01
00
10
00
00
00
11
00
00
11
00
01
00
10
10
01
00
11
11
01
11
01
10
10
10
11
10
00
00
01
00
10
00
10
01
00
10
10
11
01
00
11
11
11
01
00
01
10
10
00
00
11
10
01
11
10
00
00
01
01
10
10
11
10
01
11
00
00
10
10
11
00
01
11
11
01
11
01
11
01
01
00
01
10
10
10
00
00
10
00
00
11
10
10
00
00
10
11
11
01
00
10
10
10
00
10
10
00
01
10
01
10
10
11
10
01
00
00
11
10
00
00
01
10
00
10
11
00
10
10
10
00
11
10
01
00
10
00
10
10
01
01
11
00
00
00
10
10
01
10
10
00
00
11
11
00
00
00
11
00
10
00
10
00
10
11
01
10
11
00
10
01
10
10
00
00
10
00
10
00
00
10
10
00
00
00
10
00
11
00
01
00
11
11
10
11
01
11
10
00
11
10
00
01
01
01
11
11
01
11
11
00
11
11
01
01
00
10
10
11
01
11
10
00
01
10
01
00
00
10
10
00
01
10
10
11
10
10
00
00
11
10
01
00
01
00
10
00
00
10
10
11
00
00
10
10
10
10
11
01
01
11
00
00
01
10
10
00
00
10
00
00
10
01
10
01
10
10
00
00
01
00
00
10
10
10
01
00
11
10
00
00
01
10
00
00
10
10
00
01
10
00
01
11
00
10
11
10
01
10
01
01
11
00
00
00
10
00
00
00
10
10
01
00
00
10
11
01
10
10
10
10
10
00
00
10
00
00
10
10
00
00
01
01
01
10
10
00
01
01
01
10
10
00
10
00
00
00
10
00
00
11
00
10
10
10
11
00
10
01
00
01
10
10
00
01
00
10
00
10
11
01
00
11
10
11
00
10
10
10
00
00
00
10
10
11
10
00
10
11
10
00
01
11
10
10
10
01
10
10
00
01
01
10
10
10
10
10
10
00
10
00
01
10
10
01
00
01
00
00
00
10
01
10
11
01
01
11
01
10
10
10
00
10
10
01
00
10
10
01
01
01
11
10
10
10
01
00
10
00
11
10
00
10
10
10
10
10
01
00
00
00
10
10
00
10
00
11
10
01
01
01
00
00
11
00
00
10
01
10
10
00
10
11
00
00
00
00
00
11
10
11
00
10
11
10
10
01
01
00
10
10
11
01
00
10
01
00
10
10
00
00
11
10
01
11
01
01
10
01
11
00
10
10
01
01
10
10
10
10
10
10
00
00
11
00
01
10
00
00
10
10
11
10
11
11
00
01
10
10
10
10
00
00
10
11
10
11
00
10
10
11
10
01
11
10
10
00
10
01
00
01
11
00
10
00
10
10
11
00
00
10
10
00
00
00
01
11
00
11
10
00
10
10
01
00
11
10
00
10
11
10
00
00
11
01
00
01
00
10
00
10
10
10
11
01
10
01
00
10
00
00
01
10
11
00
00
10
01
10
11
11
00
00
11
10
10
01
00
01
10
11
10
11
00
00
01
00
10
11
00
00
10
01
01
11
10
11
10
00
00
10
00
00
00
11
00
00
00
10
00
01
11
10
00
01
10
10
11
10
10
00
10
10
00
00
01
00
00
10
10
10
10
10
00
00
00
00
10
10
11
10
00
11
00
10
01
00
10
10
01
01
10
01
11
10
00
01
10
10
00
00
11
10
10
11
10
01
10
10
11
00
00
10
10
00
11
00
00
00
01
10
11
10
00
10
11
11
10
10
10
11
00
01
00
01
10
10
00
00
10
11
10
00
00
11
10
10
10
00
11
00
00
01
01
11
10
10
00
01
10
10
00
11
10
10
10
01
10
10
10
01
11
10
11
00
00
00
11
10
10
01
00
00
00
00
10
00
00
00
10
10
10
01
10
10
11
10
01
10
00
00
11
00
01
10
10
11
00
00
11
00
00
10
10
11
00
01
11
00
00
10
00
00
10
10
10
00
00
00
00
11
11
01
10
10
00
00
10
01
01
11
10
10
11
11
11
00
10
01
10
01
10
11
00
00
01
01
00
10
00
00
00
01
10
10
10
00
10
11
11
01
00
01
01
00
11
10
11
11
10
00
00
10
10
10
00
10
00
10
10
11
11
00
01
00
10
01
00
11
00
11
10
00
00
10
10
00
10
10
11
01
00
10
10
01
00
10
10
00
10
11
01
10
00
10
10
01
11
11
11
00
00
00
10
10
01
01
10
01
01
00
00
10
00
10
00
00
10
00
10
00
10
10
11
10
10
10
00
10
00
00
10
10
10
11
01
00
10
01
01
10
00
11
10
10
01
00
10
00
10
10
10
01
01
01
00
01
10
10
10
00
01
11
11
10
01
00
00
00
01
01
10
10
01
00
00
00
11
01
01
11
10
00
10
10
10
01
00
01
00
11
10
11
01
00
10
11
10
00
10
01
11
11
01
11
11
01
00
10
00
00
01
10
10
00
01
10
11
00
10
00
00
00
00
10
00
00
11
10
00
00
10
00
01
10
11
10
01
00
01
00
10
00
01
10
10
10
00
10
10
10
00
00
10
10
01
10
00
10
10
10
01
00
10
01
10
11
00
10
00
10
11
01
01
10
11
01
10
10
00
00
10
11
00
00
00
00
01
01
10
10
10
00
00
10
11
00
10
10
01
01
00
11
10
10
10
00
01
11
11
00
01
11
00
11
11
10
10
10
00
00
11
11
10
01
11
00
01
11
00
11
00
01
10
00
00
01
00
10
10
01
00
10
10
10
10
10
00
10
01
10
10
11
10
00
00
01
00
10
10
00
10
10
10
10
00
01
00
10
00
10
10
10
00
00
11
10
00
00
10
01
00
00
10
10
00
10
00
00
10
00
00
00
00
10
11
00
00
10
11
10
10
11
01
10
10
11
00
10
10
00
10
01
00
00
00
01
00
10
00
10
01
00
11
01
01
00
10
11
01
00
01
10
10
10
10
00
10
10
00
00
00
00
10
10
01
01
10
11
11
11
01
10
10
11
00
01
00
10
10
10
01
10
00
00
11
00
01
00
10
00
01
10
10
01
00
10
10
00
01
10
00
00
10
10
10
01
10
00
00
10
10
00
00
10
10
00
10
01
00
00
10
00
10
11
01
00
00
10
00
01
01
01
11
11
00
00
01
10
00
01
11
10
11
10
00
10
11
10
11
10
00
11
00
00
00
00
10
10
00
00
00
10
10
10
00
10
10
11
10
10
00
00
11
10
01
01
00
11
10
11
00
00
10
01
01
10
11
00
11
10
00
11
10
10
01
10
10
11
01
10
00
00
10
00
00
00
01
10
11
11
01
10
10
11
00
11
10
10
00
00
10
01
10
10
00
11
00
00
01
10
10
01
10
00
00
01
00
10
10
10
11
00
00
00
00
00
01
00
10
01
00
11
10
00
00
11
01
00
00
11
00
00
11
00
11
00
01
01
10
00
00
11
11
11
01
00
01
10
10
10
01
01
10
00
00
00
10
11
10
10
00
00
10
00
11
11
10
11
10
00
10
10
00
00
11
01
00
11
10
00
00
00
00
10
00
00
01
01
01
10
11
10
00
11
10
11
01
00
10
10
00
11
10
00
00
10
10
10
11
00
11
11
10
01
10
10
10
01
00
00
10
10
00
00
10
00
10
00
00
11
00
11
10
00
11
10
11
00
01
10
01
00
10
00
00
01
10
10
01
10
11
00
10
10
11
00
01
00
10
10
00
00
00
00
11
01
10
10
00
01
10
10
10
00
01
10
10
11
10
10
00
10
10
00
11
00
00
10
10
11
11
10
10
00
10
00
10
11
00
01
10
10
00
00
01
10
10
01
01
10
01
00
10
00
10
10
01
10
00
10
11
10
10
00
00
10
10
10
00
00
00
01
00
10
00
11
10
10
00
00
00
00
10
00
01
00
01
00
10
10
11
10
10
11
01
01
11
00
11
11
10
10
00
00
10
00
01
11
10
11
01
10
10
01
00
11
10
00
01
11
01
10
10
10
11
10
10
00
00
10
00
11
10
00
00
00
00
01
00
10
11
00
00
01
00
11
00
01
10
10
00
10
00
00
00
11
10
01
10
00
01
01
10
00
11
10
01
10
00
10
00
11
11
10
01
10
00
00
11
01
00
00
11
10
10
10
00
01
10
10
00
00
11
00
10
11
10
00
01
10
11
11
10
11
01
00
00
10
10
10
10
01
00
10
10
10
11
10
10
00
00
10
11
10
10
01
11
11
00
10
01
11
10
00
01
10
00
10
10
10
01
10
01
10
11
00
00
00
11
01
01
10
10
10
10
11
00
00
11
01
01
00
00
10
10
00
00
10
11
00
01
11
00
00
10
00
10
10
01
11
00
01
10
00
00
00
00
10
10
00
00
10
00
10
10
10
11
10
10
00
00
00
11
10
00
11
10
00
11
10
00
00
00
11
11
10
01
10
10
00
11
00
10
01
00
11
00
11
10
00
01
10
01
10
01
10
11
00
10
00
00
11
10
10
01
10
00
01
01
00
10
01
10
11
00
10
00
00
10
00
00
10
10
00
01
00
01
00
11
00
00
01
00
10
00
01
10
10
00
00
00
01
10
10
00
01
10
10
11
10
01
10
10
00
11
00
11
11
00
00
00
11
01
10
11
00
10
10
11
00
10
10
01
00
10
01
01
10
00
10
10
00
00
00
11
11
01
00
00
10
10
00
11
00
10
11
11
00
10
00
00
01
01
11
10
01
10
10
11
10
10
00
00
10
01
00
01
01
00
11
10
10
00
01
11
11
10
10
00
00
10
11
11
00
11
10
10
10
10
00
00
00
10
01
10
00
00
10
01
00
01
10
00
01
11
00
10
00
01
00
00
10
10
00
11
11
00
10
00
10
10
01
00
11
00
01
10
00
01
00
01
10
00
00
01
00
10
11
11
00
01
00
10
10
00
10
10
00
00
00
00
00
11
00
00
00
11
11
10
00
11
00
00
00
00
00
10
00
11
00
11
10
10
10
10
00
00
00
10
10
10
10
10
00
10
10
10
00
00
11
11
01
00
11
00
10
10
00
00
11
10
10
11
00
00
00
10
01
00
11
00
11
11
01
11
11
01
01
01
11
01
00
11
10
00
10
10
11
01
01
10
01
01
01
00
10
11
11
11
01
01
00
11
10
10
01
10
11
10
00
00
11
00
00
01
00
01
10
11
10
01
10
10
11
00
10
10
11
01
10
10
01
10
10
00
10
10
01
10
01
01
00
11
00
00
10
00
00
00
01
10
10
00
10
00
00
11
10
10
01
11
00
10
10
00
00
10
00
01
10
11
11
01
10
00
00
10
11
10
11
01
00
11
01
11
01
01
11
11
00
00
10
11
00
10
10
01
11
00
11
01
11
10
01
00
00
10
11
10
00
11
11
00
10
01
10
00
10
00
00
11
00
11
10
00
01
10
10
00
00
10
00
01
10
01
01
01
11
00
11
11
00
10
00
00
11
10
00
00
01
01
10
01
10
00
10
11
10
00
00
11
10
00
00
10
00
10
00
11
11
00
11
01
10
11
11
00
10
00
10
00
00
11
00
00
10
10
11
10
11
00
00
10
11
00
00
00
10
10
01
00
10
01
01
00
01
11
10
11
01
10
01
00
10
10
00
00
00
00
10
00
10
00
00
01
10
10
00
11
11
10
00
10
00
10
01
10
10
10
01
10
11
01
11
11
01
11
01
00
10
01
00
11
10
01
01
10
00
00
00
01
01
11
10
11
00
00
11
11
01
00
10
10
00
00
01
10
10
10
10
01
11
10
00
00
11
10
00
11
00
10
11
00
10
10
10
10
00
11
10
00
00
10
01
00
00
10
00
10
00
00
00
00
11
01
10
11
11
01
00
10
10
00
10
00
01
10
10
10
11
10
10
00
11
00
10
00
00
00
11
00
00
00
11
11
00
00
00
00
01
10
10
10
10
00
01
00
11
01
01
11
00
01
00
00
10
01
11
10
01
10
01
00
10
00
00
00
10
10
01
10
00
00
11
11
00
10
10
00
10
01
01
11
10
01
01
10
10
00
01
00
01
10
10
10
10
01
01
00
10
00
11
00
10
01
01
10
01
10
10
01
10
00
01
10
11
10
10
00
10
11
00
11
00
10
10
10
00
11
00
00
11
10
10
00
10
10
11
01
00
10
00
10
10
00
10
00
10
11
00
01
10
01
11
10
10
10
00
00
10
00
00
11
10
11
10
00
01
00
10
01
10
11
00
11
01
01
11
01
01
11
01
10
11
00
01
00
11
10
11
00
00
01
10
10
00
10
10
10
10
01
00
10
01
00
01
10
00
00
10
01
00
10
11
11
10
01
00
10
00
10
10
11
00
01
10
00
01
10
00
00
00
11
10
10
01
00
10
01
10
10
00
10
00
10
10
00
00
10
10
01
00
10
10
00
11
01
01
11
01
00
10
00
10
00
01
10
11
11
10
00
11
00
00
00
11
01
10
11
00
11
10
00
00
11
00
01
00
10
01
00
00
11
00
10
10
11
11
01
01
01
10
10
01
00
01
10
11
11
10
10
00
00
00
01
10
11
10
01
10
01
00
11
10
00
00
00
00
11
11
00
11
00
10
10
00
11
11
01
00
01
10
10
11
00
00
00
10
10
10
00
01
11
10
00
00
11
01
01
01
00
00
00
00
00
01
10
10
11
01
10
11
00
01
00
00
10
10
01
01
10
10
10
11
10
01
11
00
01
11
10
00
10
01
00
01
10
10
10
11
10
00
01
11
01
00
00
10
10
10
01
00
10
11
11
10
01
00
10
01
10
10
10
01
00
10
11
00
10
01
00
11
11
01
01
11
10
10
01
00
01
10
11
11
00
00
10
10
10
10
01
01
00
11
10
10
10
01
10
11
00
00
01
10
10
11
10
00
10
10
00
01
10
10
01
01
00
00
10
00
10
11
00
11
10
00
00
01
01
10
11
00
10
00
10
00
10
00
00
10
10
10
01
00
11
10
10
10
10
10
11
10
01
01
11
00
00
11
10
00
00
10
00
10
01
00
10
10
00
00
01
00
11
11
00
10
11
00
10
00
00
00
10
01
10
10
00
00
00
10
11
00
00
00
00
10
11
10
10
10
10
00
00
00
00
10
11
00
10
11
01
11
00
10
10
00
10
11
00
01
10
11
10
10
01
01
11
10
01
00
00
00
00
00
10
10
00
00
10
11
01
01
10
10
01
00
11
11
01
00
11
00
10
11
00
01
00
10
10
10
01
11
11
00
10
01
10
11
11
00
00
10
11
10
00
00
11
10
01
11
00
10
00
00
10
10
11
00
01
00
00
10
00
10
11
00
00
10
10
10
10
00
11
10
01
11
01
00
10
11
11
10
00
00
01
10
01
00
10
10
01
01
10
00
10
11
01
00
00
10
10
00
00
00
10
10
01
10
10
10
00
00
11
10
10
10
00
00
00
10
10
01
10
10
11
10
01
10
01
01
01
11
10
00
00
10
10
00
10
10
00
00
01
10
10
00
00
10
01
01
10
11
00
11
00
00
00
00
00
00
00
00
00
00
11
10
11
00
00
10
10
10
10
11
01
11
10
01
11
10
00
00
10
10
01
00
11
10
11
10
11
00
00
10
01
10
11
00
01
10
11
00
00
00
01
10
10
00
00
00
00
10
10
00
00
10
00
00
10
11
11
01
01
01
11
10
00
10
01
00
10
11
00
10
10
00
01
00
11
11
11
10
11
10
00
11
10
00
00
11
00
00
10
11
10
00
10
10
01
11
01
01
10
10
10
01
01
00
11
01
10
00
01
10
10
10
01
01
10
10
00
00
00
01
10
10
00
10
10
01
10
00
11
01
01
11
10
00
11
11
10
10
01
00
00
11
00
01
00
11
10
10
10
10
00
10
00
00
00
10
10
01
00
10
11
00
11
10
00
00
10
00
01
10
10
10
10
01
00
01
00
10
11
00
11
11
00
00
10
10
00
11
00
00
11
11
01
10
11
00
10
10
00
10
10
01
01
11
11
10
01
10
01
10
10
00
01
11
00
00
11
00
10
01
01
10
00
01
10
11
10
01
10
10
00
01
00
10
10
01
01
10
10
01
11
10
10
11
00
10
11
01
10
10
01
00
10
11
10
00
00
00
00
10
00
10
00
00
00
10
10
00
00
00
00
01
00
10
10
10
10
10
10
10
10
00
01
00
01
00
10
10
00
10
10
10
01
00
00
10
00
11
00
01
01
10
10
01
11
01
10
01
01
00
00
10
01
11
00
00
10
00
11
00
11
01
00
00
10
10
01
00
01
11
00
10
10
00
11
00
10
10
10
00
01
00
00
00
10
10
10
10
00
00
10
00
11
00
01
10
10
01
01
00
11
10
00
11
10
00
10
11
01
11
00
11
10
00
01
00
10
11
00
10
10
11
00
00
10
10
11
00
00
00
10
00
10
11
01
10
01
10
00
00
00
10
10
11
10
01
00
10
00
10
11
00
00
11
00
01
00
00
10
10
01
11
11
00
01
01
01
00
10
00
01
00
11
10
00
00
10
01
00
11
10
00
00
10
01
11
01
01
01
11
01
00
11
10
00
11
10
00
11
10
01
00
11
00
11
10
10
10
00
10
11
10
00
10
00
10
10
11
00
01
10
10
10
11
01
01
11
10
11
00
10
11
00
10
10
00
01
00
10
10
10
10
00
10
01
01
00
11
01
00
10
11
11
01
01
00
10
11
10
10
00
01
10
10
00
10
00
00
00
11
00
10
00
01
01
10
10
11
10
00
00
10
11
01
01
10
00
00
10
11
00
10
00
00
11
00
00
00
10
10
01
10
10
00
00
11
10
01
00
00
00
00
10
10
01
00
00
10
00
10
00
00
11
10
10
00
10
10
00
00
10
10
00
11
00
10
10
10
00
00
00
01
01
10
10
11
10
00
01
00
00
00
10
10
10
00
00
00
11
11
10
01
10
10
10
11
11
00
00
10
10
01
10
10
11
00
00
01
10
11
01
01
01
01
00
10
01
00
10
01
00
01
10
10
11
10
00
10
10
00
00
11
10
01
11
11
10
01
01
10
10
00
11
11
10
00
00
00
00
01
00
10
00
01
00
01
11
10
11
00
10
10
00
00
01
10
11
10
10
11
01
10
00
10
10
00
00
10
00
00
01
01
10
00
01
00
00
11
10
01
11
10
00
00
10
11
10
00
00
00
11
00
10
00
10
01
11
01
10
10
10
10
00
10
10
10
00
11
11
11
01
10
10
01
00
00
00
11
10
00
00
00
00
10
10
01
10
11
10
00
10
10
00
00
01
11
00
00
00
11
11
10
10
00
00
01
10
10
00
10
00
01
10
10
10
10
01
11
00
10
10
00
00
11
00
10
11
01
11
00
01
10
01
01
01
10
01
11
10
01
00
11
10
01
01
00
11
11
11
00
00
00
10
00
01
11
01
01
00
01
11
10
10
10
01
00
10
10
00
01
10
10
10
11
10
00
11
10
10
10
01
01
01
10
10
10
10
10
00
00
10
11
10
11
10
00
01
00
11
11
01
00
01
11
00
10
10
01
10
11
10
10
11
10
00
00
00
10
11
01
00
01
10
00
01
00
00
11
11
00
00
10
01
10
10
00
10
10
11
00
00
10
01
00
10
00
00
00
11
01
10
00
00
00
10
00
11
11
10
11
10
01
00
10
00
10
10
00
10
11
01
01
01
01
00
00
00
10
00
00
11
10
10
00
10
11
11
00
00
11
00
00
10
10
00
00
01
00
01
10
11
01
01
11
11
00
00
10
00
01
10
11
10
00
10
00
11
11
00
00
10
00
11
10
00
11
10
01
10
01
01
10
00
01
00
11
10
10
10
00
01
00
11
00
00
11
00
00
11
01
00
00
10
10
00
01
10
00
00
00
01
10
01
10
11
11
11
11
00
10
10
11
10
00
11
10
00
00
00
01
11
01
11
10
10
00
10
00
00
10
10
00
00
10
00
00
00
01
10
00
00
01
10
10
10
10
10
10
10
10
00
10
10
00
10
11
11
00
10
10
11
01
10
10
01
11
10
10
01
00
10
10
00
11
01
11
11
10
00
01
00
11
01
01
10
10
10
11
00
00
10
10
00
01
11
10
11
10
00
01
11
11
11
00
01
00
00
10
10
01
00
01
11
10
00
00
01
00
00
11
10
10
11
00
01
01
00
11
11
01
00
01
10
10
00
01
11
10
01
00
00
00
01
00
10
10
01
10
01
01
10
11
00
00
10
10
00
10
00
01
01
10
00
01
11
10
10
11
00
10
01
00
11
01
00
10
10
00
00
10
00
00
10
10
10
00
10
10
10
10
10
10
10
10
00
00
10
00
10
10
10
00
00
00
10
01
00
01
10
10
00
10
01
01
00
10
11
10
00
00
00
10
10
00
11
01
10
00
10
00
00
10
01
00
01
10
10
00
10
01
10
00
00
10
10
01
01
01
00
10
00
01
00
10
10
11
01
00
11
10
00
00
01
11
00
00
10
10
00
00
00
10
00
01
10
10
10
11
11
11
10
11
01
00
01
10
11
00
00
10
11
01
01
10
10
00
01
10
11
10
00
01
10
01
00
10
11
00
01
10
01
10
10
10
01
10
10
00
01
11
01
01
10
10
11
11
01
01
00
00
00
00
10
10
10
00
10
00
01
00
00
00
00
11
01
00
10
00
10
01
00
11
00
00
11
10
10
11
00
00
10
10
10
00
10
00
10
11
00
01
10
01
11
01
00
11
00
00
00
00
10
11
01
00
01
00
10
11
01
11
11
00
01
11
10
01
10
11
01
10
10
00
10
10
10
00
00
00
01
00
00
00
10
10
10
10
10
00
00
10
10
00
11
00
10
11
00
11
00
10
10
01
01
10
10
00
00
01
00
10
10
11
11
01
01
10
11
10
00
00
11
10
01
00
11
10
11
00
00
11
01
11
10
00
01
00
11
10
00
01
11
01
10
10
10
10
00
00
10
11
11
11
00
10
01
00
01
00
11
10
00
01
00
10
10
11
01
10
10
01
11
10
10
01
10
00
00
00
10
00
00
10
10
10
10
10
10
10
00
00
00
10
10
00
00
10
01
00
00
10
00
00
10
00
11
11
01
00
01
10
10
10
00
00
10
01
10
10
00
10
11
10
10
11
00
00
10
10
00
01
11
00
00
10
01
00
11
10
01
10
10
11
01
00
10
10
11
10
01
00
10
10
01
11
10
10
01
11
10
10
00
00
01
01
10
01
11
10
01
10
00
10
11
10
00
00
10
01
00
11
01
11
01
10
10
00
01
10
11
00
01
00
01
10
01
00
00
10
10
10
11
00
00
10
10
00
00
10
00
10
10
01
10
10
01
10
01
00
11
10
00
00
10
01
00
11
11
01
11
10
00
10
00
01
00
10
01
00
00
10
10
10
00
01
00
00
00
10
00
00
00
10
10
00
00
10
01
11
11
10
10
10
01
00
00
11
11
01
00
10
10
10
10
00
10
11
11
01
00
00
11
00
00
01
11
11
00
01
11
01
01
00
01
11
11
00
00
10
11
10
01
00
00
10
00
01
10
00
10
00
00
10
11
11
10
01
00
10
01
00
11
10
00
00
10
10
01
01
10
00
00
00
00
00
11
10
10
10
00
00
01
10
10
00
00
01
10
10
10
00
01
00
10
01
00
10
11
00
01
10
10
00
00
00
00
11
11
00
11
10
10
10
01
00
01
00
10
01
10
00
11
00
10
10
01
00
01
10
10
00
11
00
00
01
11
10
10
00
10
10
01
11
00
01
00
11
11
11
00
01
01
11
11
01
11
11
11
00
00
10
10
01
01
10
10
00
10
01
00
11
00
00
11
11
00
10
01
00
00
11
00
10
00
00
00
00
11
10
10
00
00
00
00
11
10
10
01
11
00
10
01
00
11
11
01
11
10
10
00
00
00
11
10
00
11
10
00
01
11
10
00
10
00
00
00
00
00
10
10
00
11
10
00
01
10
10
10
10
01
10
10
00
01
10
01
00
00
00
10
00
10
00
01
10
11
10
01
10
10
00
01
11
10
11
00
01
10
00
00
10
00
10
01
00
00
00
00
01
00
00
11
11
10
10
00
01
10
01
00
11
00
10
10
00
10
11
01
00
10
00
10
00
00
10
00
10
10
10
11
10
11
00
10
11
01
10
10
00
01
11
00
01
10
00
00
00
00
10
01
00
11
00
00
11
11
00
00
10
00
00
10
10
10
00
00
11
10
01
00
10
10
00
00
11
00
00
00
10
00
01
00
11
11
11
10
10
10
00
01
10
01
11
10
00
10
00
10
10
01
11
10
00
00
11
11
00
10
10
00
10
10
10
01
10
10
10
11
10
10
10
00
00
00
10
10
00
11
00
01
10
00
10
11
10
11
10
01
10
10
10
11
10
01
00
11
00
00
00
01
10
11
10
10
11
10
11
00
00
10
10
00
01
10
01
11
01
00
10
11
10
11
01
10
10
00
00
10
00
00
00
11
11
11
10
00
01
00
10
10
00
00
10
00
10
11
01
10
00
00
11
00
11
00
10
00
00
10
10
10
01
11
10
01
01
00
10
00
01
00
00
10
10
00
10
11
01
01
10
01
00
10
11
11
11
00
00
10
00
00
01
10
01
00
01
11
00
10
10
10
01
01
10
11
01
00
10
10
00
00
11
10
00
10
00
10
00
11
10
10
11
01
00
11
10
10
00
11
11
11
10
00
01
10
00
11
10
01
00
00
00
00
10
10
10
00
10
10
10
10
11
10
00
01
11
00
10
10
00
10
11
01
10
11
00
01
01
10
00
10
01
10
00
00
11
10
10
11
11
11
11
00
01
10
10
00
00
11
11
11
01
00
10
10
01
11
00
11
10
10
11
00
11
10
10
00
10
00
10
00
01
10
01
11
00
11
01
00
00
00
10
11
01
00
10
10
01
10
10
00
00
10
10
01
11
00
10
00
10
10
10
11
00
11
11
00
00
00
10
11
10
00
01
10
10
01
00
00
11
10
11
10
10
10
10
11
00
01
00
10
00
11
11
10
10
10
10
00
01
00
10
00
00
11
00
10
00
11
10
11
01
11
10
01
01
00
11
10
10
00
01
00
10
01
00
10
00
00
00
11
01
01
11
10
00
00
10
11
00
00
10
10
01
00
11
00
00
10
00
00
01
11
10
01
01
01
00
11
01
11
10
00
10
10
11
00
00
00
10
10
11
11
11
10
10
10
10
11
01
01
00
10
10
11
10
00
01
10
10
01
00
00
10
01
11
00
10
00
10
00
10
10
01
10
10
10
11
01
00
00
10
10
01
10
01
00
10
10
01
11
10
00
00
00
11
10
11
11
10
10
00
11
00
10
10
10
11
00
00
00
11
10
10
10
00
00
11
11
11
10
01
00
10
01
11
11
01
10
11
00
01
11
00
01
11
10
01
01
10
11
00
00
00
01
00
11
10
10
01
00
10
00
10
11
00
00
10
00
01
10
00
10
01
00
00
11
11
10
10
00
00
00
11
10
10
10
01
11
11
00
00
01
10
00
11
10
00
00
01
00
01
00
00
10
11
00
00
11
10
00
10
00
11
11
11
10
11
10
00
01
10
10
00
10
00
00
01
00
10
00
00
10
01
00
01
00
00
10
00
11
00
11
00
01
10
00
01
11
11
10
00
01
10
10
10
00
00
01
00
11
00
11
10
00
01
00
00
11
00
10
01
11
00
10
01
00
00
11
00
10
01
00
10
10
10
00
00
00
11
10
11
11
00
11
00
11
10
01
01
01
10
10
00
01
11
11
01
00
00
11
11
00
01
10
10
01
00
00
10
10
11
10
01
10
00
11
00
10
01
10
00
01
10
00
10
10
00
11
10
01
01
01
00
00
00
01
11
00
11
11
00
10
00
11
10
01
10
01
11
10
10
00
00
10
10
01
10
00
10
00
00
10
10
10
01
00
10
11
00
11
10
01
00
00
01
10
10
00
00
10
11
11
10
00
10
01
10
11
01
11
00
00
10
00
00
10
11
00
10
10
10
10
11
00
00
00
10
00
11
10
10
01
11
10
10
10
11
10
10
11
10
10
11
10
00
10
01
01
10
10
00
01
00
11
10
11
10
11
01
01
01
11
00
00
10
00
01
10
11
10
10
01
11
11
01
10
00
01
10
10
01
01
10
00
10
11
01
01
11
01
01
00
10
11
10
11
00
00
10
11
00
00
10
11
11
00
01
11
00
00
10
00
00
01
10
00
00
11
01
01
10
00
11
11
00
10
11
01
00
00
00
11
10
01
10
01
00
10
00
01
01
10
00
00
11
10
10
10
11
10
00
01
00
10
10
11
00
01
10
00
11
10
10
01
00
10
01
00
10
10
00
01
10
10
00
11
00
10
10
10
00
10
00
10
11
10
10
11
10
00
01
00
00
11
10
10
00
00
11
00
10
10
01
11
00
10
00
10
11
11
11
00
11
10
10
00
00
10
00
00
10
01
00
01
10
11
11
10
00
11
10
00
00
10
00
00
10
10
11
10
00
10
10
00
00
00
00
10
10
00
01
10
00
10
11
01
10
01
00
01
10
10
00
11
11
00
00
10
10
01
00
11
10
00
01
10
11
00
11
11
11
10
10
10
00
11
10
00
00
10
00
01
10
00
10
10
00
00
00
10
10
10
01
01
10
01
01
00
01
00
10
00
00
10
10
11
01
10
10
10
00
10
10
01
00
10
10
00
01
00
11
01
00
00
11
10
00
00
11
00
01
00
01
01
10
10
00
11
10
00
01
10
00
00
00
10
00
10
10
01
10
11
10
10
00
10
01
00
00
11
10
01
11
01
10
00
10
11
00
00
10
10
11
00
00
10
10
00
00
00
00
11
01
11
10
00
10
01
00
01
10
11
00
10
11
01
11
10
00
00
00
11
10
10
01
00
00
11
10
01
11
10
11
10
00
10
01
00
00
01
10
11
10
00
10
00
00
01
00
10
01
11
00
01
11
00
10
00
10
10
10
00
10
11
10
00
01
11
10
10
00
01
00
11
11
00
00
11
10
01
11
11
00
10
10
00
00
01
00
10
11
00
10
11
00
00
11
01
10
01
00
00
00
00
11
10
00
10
10
00
01
10
11
10
11
10
00
00
10
00
00
10
00
11
10
10
11
01
10
10
00
10
11
00
10
01
00
11
01
00
10
00
10
00
00
10
11
10
10
00
11
10
10
10
00
11
10
11
00
00
11
00
11
11
11
00
00
00
10
10
10
10
00
00
00
10
00
10
01
11
01
10
01
11
11
00
11
00
01
00
11
01
01
00
11
01
01
11
10
00
00
10
10
10
01
00
10
01
01
01
01
00
11
01
00
10
00
00
10
10
00
10
10
01
10
11
00
00
10
00
10
01
00
10
11
10
11
11
10
00
11
01
01
00
10
10
00
01
11
11
00
00
01
00
01
10
00
00
10
00
01
01
10
11
01
10
00
11
01
11
00
01
00
00
10
00
10
11
10
01
00
01
01
10
11
01
10
11
00
10
10
11
00
00
01
11
11
00
00
10
10
00
10
11
10
00
00
11
00
11
01
00
11
00
00
00
10
10
00
11
01
00
00
10
00
00
00
01
01
01
00
10
11
10
11
10
11
01
11
01
00
10
10
00
00
01
11
10
10
11
00
00
11
11
00
00
11
10
11
00
11
10
00
10
10
00
00
00
10
10
01
00
00
10
01
10
01
10
10
00
10
00
00
10
00
10
11
01
00
10
10
01
00
01
10
00
00
00
10
10
00
00
00
10
10
00
10
00
10
01
01
00
10
10
00
10
00
10
10
00
00
00
10
00
10
10
10
00
00
10
11
00
01
00
10
10
10
00
11
10
00
10
11
11
10
10
11
00
01
10
00
00
11
10
01
00
10
00
01
10
10
00
00
00
10
10
10
01
00
01
00
00
01
00
11
00
01
00
10
01
10
00
10
10
00
10
11
01
00
10
00
11
00
10
00
11
10
11
00
10
10
01
00
00
01
11
10
11
01
00
10
10
01
10
00
00
10
10
10
01
00
01
10
10
11
01
10
11
10
00
01
10
11
10
01
11
11
00
00
10
00
11
10
10
11
00
10
10
10
11
10
00
00
00
00
01
10
10
00
00
10
10
00
00
10
01
10
10
00
11
00
00
01
01
10
10
10
00
01
10
11
11
11
10
00
01
11
00
01
10
10
00
01
10
11
00
11
10
01
11
10
10
00
10
10
11
00
00
01
10
11
10
00
01
00
10
00
00
10
00
10
10
00
00
00
01
01
01
10
00
11
11
11
10
00
10
00
10
00
00
10
00
00
11
00
10
01
10
01
10
11
01
00
11
00
00
10
10
11
00
10
00
10
11
00
00
11
11
00
01
10
11
10
01
10
00
01
01
01
11
01
01
01
10
10
00
00
11
00
00
11
10
01
00
10
10
00
01
01
11
00
01
10
00
00
01
10
01
10
10
01
11
00
10
10
00
00
01
01
10
11
00
00
00
10
00
01
10
11
11
01
00
10
01
00
00
10
00
00
10
00
11
11
01
11
10
00
01
10
00
00
10
10
01
00
10
10
00
10
10
01
10
11
00
10
00
10
00
00
00
10
01
00
01
10
11
10
11
11
00
10
11
01
00
00
10
11
00
11
11
00
10
10
00
01
11
11
00
00
10
10
11
00
10
11
00
10
00
10
00
00
10
00
00
01
10
10
11
01
01
10
00
00
00
00
11
01
00
11
11
01
00
10
00
01
10
11
00
00
01
10
00
10
00
01
00
10
11
01
11
10
00
00
11
10
00
10
10
01
10
00
11
11
11
00
01
01
00
01
01
11
11
00
10
10
00
00
10
11
00
00
11
01
01
10
00
00
00
10
00
01
10
01
00
10
11
10
00
00
10
10
01
00
01
10
10
01
00
00
10
10
00
00
11
00
00
10
00
01
10
10
00
10
01
00
11
10
00
10
01
11
11
00
10
10
01
01
00
10
11
11
00
00
01
00
10
00
11
11
10
11
00
11
01
01
10
01
11
10
10
01
10
10
01
01
01
10
10
01
10
01
10
00
00
00
11
11
00
10
01
10
01
10
10
00
00
01
10
11
00
11
10
10
10
11
01
00
00
11
01
00
11
11
11
10
01
00
00
10
00
00
10
10
01
10
10
11
10
11
10
00
10
10
01
00
11
10
10
01
11
01
01
10
10
11
00
00
00
10
10
11
00
01
00
01
10
01
00
00
01
10
10
00
00
00
10
00
11
00
00
10
11
10
10
10
00
10
00
10
10
10
00
00
00
01
00
01
10
01
10
00
11
00
00
11
00
11
01
00
10
00
00
00
01
10
00
10
10
00
00
01
10
11
00
01
00
00
00
10
01
00
11
10
00
10
11
11
00
00
10
00
10
10
11
11
11
10
00
11
10
11
11
00
00
00
11
01
00
11
01
11
00
10
10
00
01
00
00
10
00
01
00
01
10
01
10
10
10
01
10
11
11
10
01
11
00
11
10
00
00
10
00
00
10
10
01
00
10
10
01
11
10
00
00
10
10
10
11
00
00
10
00
10
10
00
01
01
10
10
11
10
00
11
11
00
00
10
00
00
10
10
01
01
00
01
01
00
10
11
11
10
00
01
00
01
00
01
10
10
00
10
00
01
00
10
11
00
01
00
00
11
10
00
10
00
10
00
10
10
00
10
11
01
11
11
00
01
10
11
10
00
00
10
11
11
10
01
00
11
01
10
01
00
11
10
00
10
10
01
00
01
11
01
10
01
10
11
00
10
11
00
00
00
10
00
00
00
00
10
00
10
10
01
10
11
10
01
00
01
10
10
10
00
00
10
10
10
01
00
00
10
10
11
11
00
10
00
01
00
10
10
00
01
10
01
01
11
10
01
00
10
10
01
00
10
00
00
11
00
11
10
00
00
00
11
10
11
10
00
11
11
00
00
00
01
10
00
00
10
00
10
01
10
11
10
10
00
00
00
00
00
10
00
00
00
00
00
00
01
00
00
11
10
10
00
10
10
10
00
01
00
11
01
00
10
10
10
00
00
01
11
10
00
00
00
00
00
10
00
00
00
00
11
00
11
10
10
10
11
10
10
10
01
00
10
01
00
10
01
01
10
00
00
11
00
11
10
00
00
11
10
01
00
11
00
00
10
00
01
10
10
00
01
00
10
00
00
10
00
10
11
10
01
10
01
00
11
10
00
10
10
10
00
10
11
10
01
10
00
11
00
00
00
00
11
11
01
10
00
00
00
00
11
11
00
00
00
00
10
11
00
00
00
11
10
11
00
11
11
00
00
10
10
00
00
10
00
00
11
01
00
00
10
00
10
10
10
11
00
01
01
01
01
10
11
11
10
01
00
01
10
10
10
11
11
00
10
11
00
00
10
00
00
10
00
10
11
10
11
00
00
10
10
00
10
00
01
01
10
01
10
11
01
01
11
01
00
10
10
10
00
00
10
00
10
10
10
00
01
10
10
00
00
11
00
01
10
11
00
01
10
01
10
00
01
10
11
10
11
01
01
11
00
10
10
00
10
10
00
01
00
11
00
01
11
00
00
00
10
10
00
01
11
01
11
11
10
11
11
11
11
01
00
01
11
10
11
00
00
10
00
00
11
11
01
11
10
10
10
00
10
00
00
11
01
00
10
10
00
00
10
00
00
00
10
10
10
10
10
00
00
01
10
10
00
00
11
11
10
10
10
01
00
00
10
10
10
10
00
01
11
00
00
00
11
00
00
00
10
01
11
00
01
10
10
00
00
00
10
00
01
10
11
01
11
00
00
01
11
11
01
00
10
11
10
10
00
01
10
00
01
01
00
10
10
01
00
01
01
10
00
10
10
01
10
10
10
01
00
11
11
11
00
10
10
11
01
01
00
10
11
00
01
10
10
10
10
00
00
00
01
10
10
01
10
00
00
01
00
11
10
00
10
00
00
10
11
01
11
10
00
01
10
10
10
00
01
00
00
11
00
10
10
00
00
01
11
11
10
10
10
01
11
00
01
10
11
01
10
10
00
10
10
10
00
11
11
00
10
01
10
00
10
10
00
00
00
00
10
00
01
01
11
10
00
01
00
11
01
01
00
00
10
00
11
10
10
00
01
10
00
10
00
10
00
01
10
10
11
11
01
01
10
11
10
11
10
00
00
10
11
00
01
10
00
10
00
01
10
10
01
10
00
10
10
00
00
00
10
10
00
00
10
10
10
00
00
10
00
10
10
00
00
10
11
00
00
10
01
10
00
00
01
10
10
01
10
00
10
10
10
01
00
10
10
00
01
00
01
01
11
11
10
10
00
01
10
10
00
00
01
10
01
10
11
10
10
10
00
00
00
10
10
10
11
00
00
01
10
01
11
10
10
11
01
00
01
10
10
00
11
11
10
11
00
10
10
00
11
10
10
00
00
10
00
10
11
10
00
00
10
00
10
00
01
01
00
01
10
10
01
00
01
11
10
00
10
10
11
10
11
00
10
10
01
00
00
10
01
00
11
00
10
10
00
00
01
10
10
10
00
10
01
11
10
10
00
11
00
11
01
00
00
10
10
00
10
10
10
10
10
00
00
00
10
10
00
10
00
01
00
10
10
01
10
00
10
10
01
10
10
01
00
00
01
01
11
01
00
11
10
01
10
00
00
11
01
00
00
10
10
00
11
11
01
01
00
10
10
10
10
10
10
00
01
11
10
10
00
10
01
10
01
00
10
10
00
10
01
00
10
01
10
10
00
10
10
10
10
10
00
00
10
01
01
01
10
01
11
10
01
00
10
10
01
00
00
11
11
10
00
01
10
10
00
00
00
01
00
10
01
00
00
10
10
01
11
01
10
10
01
01
00
10
00
00
01
00
10
10
11
11
00
10
01
10
00
00
10
10
10
01
11
10
01
00
00
10
00
10
10
00
01
00
01
00
00
00
00
10
00
10
10
10
01
00
00
11
00
00
10
01
11
10
01
00
00
01
10
11
00
10
10
00
10
11
10
00
10
00
01
01
10
00
10
01
00
00
01
10
00
00
00
00
00
10
01
00
11
10
01
00
10
00
10
11
01
10
00
01
10
11
01
01
10
00
10
11
01
01
10
00
11
11
00
10
00
10
00
11
01
10
00
10
01
11
01
00
00
00
10
01
11
00
00
11
00
10
11
11
10
00
00
01
00
10
01
10
10
00
00
10
10
00
10
01
01
11
00
01
00
00
00
00
00
00
00
11
01
00
11
00
00
10
00
10
01
10
11
01
01
00
11
11
10
11
01
00
10
10
00
00
10
11
11
10
01
10
00
00
00
01
10
11
00
00
11
00
00
10
01
01
00
00
10
11
10
10
00
00
00
10
10
00
11
01
10
10
10
00
00
00
11
00
10
00
10
00
00
00
11
01
10
11
10
01
00
11
00
01
00
10
00
11
10
00
00
10
11
11
01
01
00
10
10
00
00
10
10
00
01
01
11
10
10
00
00
00
00
10
10
01
00
00
10
10
01
00
00
11
10
01
01
00
10
01
10
10
10
11
01
00
00
00
01
10
10
11
00
01
00
10
11
10
00
00
00
10
00
11
00
01
10
00
01
00
01
10
11
01
00
00
01
11
00
10
00
10
00
00
11
10
01
00
10
01
00
00
10
00
00
00
11
10
10
11
11
00
10
11
00
10
00
00
11
00
10
11
11
11
00
10
00
00
10
10
00
01
10
11
00
00
11
00
00
11
10
10
01
10
00
10
11
00
11
10
10
10
00
00
10
00
11
10
00
01
01
11
00
11
00
10
01
10
11
00
11
10
01
01
00
00
11
00
00
01
10
00
00
00
11
01
00
11
10
00
00
10
11
00
10
10
10
10
00
01
10
10
10
00
00
10
10
01
11
00
00
00
01
11
00
11
01
00
01
00
01
01
10
10
10
01
11
10
10
01
00
10
11
11
00
10
01
00
11
01
00
00
11
01
01
10
10
00
00
10
01
00
10
10
11
10
11
00
10
11
00
01
00
00
11
01
00
11
10
10
10
00
00
01
10
11
10
11
10
00
11
01
00
10
00
01
10
11
10
01
10
01
10
10
11
10
00
00
01
00
10
00
00
10
01
01
11
10
10
10
10
01
00
11
11
10
11
01
10
10
10
01
01
11
10
00
00
01
00
10
11
00
01
11
00
00
10
10
10
01
01
00
01
10
11
11
10
01
10
11
01
10
10
10
11
01
10
10
10
01
10
00
10
01
01
11
10
10
10
11
01
11
00
00
10
11
00
00
10
10
00
11
00
01
10
10
10
00
00
11
10
10
10
10
01
11
11
00
00
11
00
11
01
10
00
00
10
10
00
01
11
01
01
10
10
00
01
00
11
10
00
10
01
01
00
11
11
10
11
10
00
01
00
00
00
11
10
11
00
00
10
00
11
10
00
00
00
10
00
00
11
00
10
10
00
10
00
00
10
00
01
10
11
01
00
11
11
11
10
01
00
10
00
11
10
01
00
10
00
00
01
10
01
01
00
00
10
10
01
10
11
10
00
00
00
00
01
10
10
10
00
00
10
11
01
10
11
01
01
11
10
00
00
11
10
10
11
10
10
10
00
00
10
10
01
10
10
01
10
11
10
10
00
01
10
00
10
10
00
01
00
11
11
10
00
10
00
00
10
10
00
00
00
00
00
00
00
11
11
10
01
11
00
00
11
00
11
00
01
00
00
10
11
00
00
10
10
10
11
11
01
01
10
00
00
01
10
10
00
01
00
01
11
10
10
00
01
11
00
01
10
10
00
00
11
00
01
11
01
10
01
00
11
10
01
11
10
00
11
01
10
01
00
00
10
00
00
00
10
10
10
00
00
11
10
00
01
00
00
00
10
11
01
10
11
00
00
10
00
11
10
01
10
10
00
00
00
10
00
01
01
10
11
00
00
10
10
10
00
00
11
10
10
00
00
10
11
10
00
01
10
10
10
00
00
00
11
00
01
01
10
00
01
01
10
00
00
10
11
00
00
00
10
11
11
01
11
00
01
11
01
10
00
00
10
00
00
10
10
00
00
00
00
10
10
00
00
00
10
10
11
01
00
10
00
00
11
00
10
10
10
10
10
01
11
01
10
00
10
00
01
00
10
10
00
01
11
00
10
00
00
00
01
00
11
10
00
11
00
10
10
01
01
01
00
10
11
10
00
01
11
01
11
10
00
01
10
01
11
10
00
11
10
00
11
10
01
11
01
01
11
11
00
10
10
00
10
00
00
10
10
11
00
01
01
11
11
10
10
00
00
00
11
00
00
11
00
00
00
00
00
00
10
10
10
11
11
00
10
00
10
11
01
00
11
01
00
10
01
00
10
10
00
00
01
10
10
11
10
00
10
00
00
00
10
10
00
01
00
01
00
00
00
00
10
10
11
01
11
10
10
00
11
00
00
00
10
00
11
10
00
01
00
10
10
10
10
01
00
00
10
10
00
10
00
00
00
01
11
00
10
10
11
10
01
01
00
11
11
10
00
11
11
00
10
10
11
00
11
10
00
10
10
11
00
10
11
10
00
00
11
10
00
01
10
00
00
10
11
10
00
10
00
00
11
10
00
10
11
01
00
11
11
10
10
00
01
00
11
10
10
01
01
11
01
10
00
00
00
10
01
00
10
10
00
11
10
11
10
00
00
11
10
00
10
10
11
10
10
01
01
01
10
11
10
01
10
01
00
11
10
00
10
11
10
10
10
01
00
01
00
10
10
00
10
11
10
00
10
11
11
00
00
01
10
10
00
00
10
00
10
00
01
00
00
10
11
10
11
00
11
10
10
00
11
10
10
00
01
00
00
10
00
00
00
00
00
00
10
10
10
00
10
01
01
10
11
00
00
11
00
11
11
00
00
00
10
01
01
10
10
00
01
00
10
00
10
00
01
10
00
00
11
11
00
10
10
10
10
11
10
00
11
10
01
00
00
10
00
11
01
00
11
10
01
01
00
11
10
00
00
01
00
01
01
10
11
00
01
10
10
01
10
10
10
01
00
10
11
10
01
00
11
11
10
11
00
10
01
01
10
01
10
10
10
10
01
00
10
10
11
00
10
10
01
01
11
11
01
00
00
10
10
00
10
10
01
01
00
00
00
10
11
00
01
00
10
00
11
11
00
10
10
00
10
01
00
01
11
11
00
10
10
00
00
01
11
10
10
11
00
00
10
00
00
10
11
00
00
00
00
00
11
00
10
10
10
11
10
01
01
01
00
01
00
10
01
10
10
10
01
11
11
01
10
10
11
00
10
01
01
11
10
11
10
10
01
11
10
01
00
00
00
10
10
01
00
10
11
00
10
00
00
10
10
00
10
11
10
00
10
00
01
01
00
01
10
00
10
10
10
00
00
10
11
00
00
10
11
01
10
10
00
10
10
00
11
10
01
10
00
10
11
10
10
10
01
01
11
00
00
01
10
10
10
01
00
10
01
00
00
00
01
10
10
01
10
10
01
00
00
00
00
01
01
11
00
11
10
10
00
01
10
10
00
00
10
10
11
00
11
11
01
10
10
01
11
00
00
00
00
10
11
11
10
01
00
00
01
11
11
00
00
11
11
01
00
10
10
01
00
11
00
00
00
10
10
00
11
10
10
11
01
00
10
10
11
10
00
00
11
10
00
11
00
00
00
00
00
00
11
00
01
10
10
10
10
11
00
11
10
10
00
11
10
00
00
01
11
10
11
01
11
00
10
01
00
11
00
00
00
10
00
00
10
10
00
00
11
00
10
00
01
10
00
11
10
10
11
00
01
00
10
00
00
01
11
10
00
11
00
10
11
00
00
10
01
00
01
10
00
11
11
00
01
00
10
10
00
11
11
00
00
10
00
01
11
10
01
10
11
10
00
11
10
00
01
11
00
00
00
10
00
00
00
11
00
00
10
00
10
10
10
10
00
10
00
00
00
10
00
01
10
00
11
10
10
10
11
00
10
10
00
00
00
10
11
01
00
10
10
00
01
10
01
01
01
01
11
10
10
01
01
00
00
11
00
01
00
10
10
10
01
01
11
10
00
11
10
00
01
11
11
10
10
01
00
11
00
00
00
01
11
10
10
00
01
10
11
10
00
01
00
00
10
01
11
01
11
10
00
00
00
01
01
10
10
01
01
10
01
11
10
00
00
11
01
00
10
11
11
11
00
01
00
00
10
10
11
11
00
00
11
00
10
11
10
11
11
10
01
00
10
00
11
10
10
00
01
00
10
00
10
11
00
11
00
00
11
01
10
10
11
01
11
00
00
10
10
00
00
10
10
00
10
00
11
00
10
00
00
11
00
10
10
01
00
00
11
01
10
01
10
11
10
10
01
10
10
00
01
10
10
00
00
10
00
10
10
10
00
00
01
11
11
00
10
11
10
01
00
01
10
10
11
10
10
11
00
00
10
10
10
00
10
10
10
01
10
11
00
00
10
10
10
00
01
11
00
01
00
00
00
11
01
01
10
10
11
11
11
10
01
11
00
10
10
01
10
00
01
10
00
00
10
00
10
11
00
11
11
00
10
00
10
10
10
10
00
00
10
10
10
11
10
00
10
00
00
00
00
11
01
01
10
00
00
10
11
00
11
10
11
00
00
10
10
11
01
10
10
11
00
00
11
00
11
10
00
10
00
10
01
00
11
10
01
11
01
11
00
10
10
00
00
11
01
00
11
00
10
01
01
10
11
00
00
10
01
11
01
11
00
11
11
00
00
10
10
01
01
11
00
00
10
10
01
01
00
11
10
10
01
01
10
00
11
11
00
01
10
11
00
10
10
00
01
11
10
01
10
11
00
10
10
00
00
00
00
10
00
01
01
11
00
11
11
00
11
00
00
01
10
10
00
01
10
00
10
00
00
00
01
11
10
01
00
01
01
01
10
10
01
10
10
01
00
11
11
00
11
10
00
00
01
10
11
10
00
00
10
00
10
11
11
00
00
01
10
11
01
01
10
10
10
10
00
00
11
10
00
00
11
10
00
00
00
10
01
00
11
10
11
00
10
10
00
10
11
10
01
01
00
10
10
10
00
00
01
01
10
10
10
10
01
00
01
10
00
00
01
00
01
00
11
10
00
10
10
10
00
01
10
10
00
00
01
10
10
11
00
11
11
10
00
00
00
11
00
01
11
01
00
10
00
10
11
11
01
11
10
10
10
00
00
00
10
10
10
10
00
01
11
00
00
00
01
10
01
00
10
11
10
00
11
00
00
00
11
00
00
00
00
01
11
10
10
11
01
01
10
10
10
01
11
10
01
00
11
10
10
01
00
11
10
10
00
00
00
10
00
01
00
10
00
01
10
01
10
10
00
10
00
11
11
01
01
10
00
00
00
10
10
00
00
10
11
00
11
10
11
01
11
00
01
11
00
01
10
00
00
10
10
11
11
00
10
11
00
00
10
10
01
00
11
00
10
01
11
10
11
11
00
00
11
10
01
01
00
00
11
00
00
10
11
00
10
01
01
00
00
00
00
00
10
01
00
10
10
11
10
00
10
00
11
10
10
10
00
00
00
01
11
01
10
10
10
10
10
10
01
01
00
10
10
00
11
00
00
01
11
11
01
10
10
10
00
10
10
00
00
11
00
00
01
00
10
00
11
10
01
10
10
00
11
10
10
01
01
10
01
00
01
11
11
00
10
11
00
00
01
10
10
00
01
10
01
00
01
01
01
11
10
10
00
10
11
01
00
10
10
00
10
11
00
11
10
10
11
01
10
10
00
11
11
00
01
00
00
01
11
00
00
00
00
00
10
10
10
00
10
10
10
11
00
11
10
11
01
10
10
01
00
11
11
00
10
00
00
10
10
00
10
10
00
10
00
11
10
10
00
00
10
01
10
10
00
10
10
10
11
01
00
00
11
00
00
10
10
00
10
00
00
10
10
10
11
00
00
10
00
01
00
10
11
00
01
11
00
00
00
00
01
00
10
00
00
11
00
11
11
00
10
11
00
00
10
11
00
00
00
00
11
00
00
11
10
10
10
10
11
00
00
00
10
00
10
00
00
11
11
10
10
11
11
01
11
10
10
01
00
10
10
00
00
00
10
11
01
01
10
00
00
10
10
10
00
01
11
10
10
00
11
10
00
11
00
10
10
11
11
10
00
10
00
10
00
01
01
01
01
00
10
00
00
00
00
01
10
01
10
11
00
11
10
00
00
11
00
00
10
00
01
01
10
10
10
01
10
10
11
00
00
10
01
10
10
11
00
01
00
10
00
00
00
10
11
10
10
10
10
01
00
00
01
01
01
01
00
00
11
00
10
10
00
00
10
00
10
00
01
00
10
10
10
00
10
00
01
11
10
11
10
00
01
00
00
10
10
01
00
11
10
11
11
10
10
00
11
00
10
01
11
01
10
01
10
10
00
01
00
11
01
00
00
00
10
11
10
11
10
00
00
11
11
00
00
10
10
10
00
00
11
11
01
11
00
10
11
11
00
00
11
10
10
00
00
10
11
11
00
10
10
01
11
10
01
00
11
11
11
11
00
10
10
10
11
00
01
00
00
10
10
01
10
10
11
11
00
10
01
10
00
00
10
10
01
10
00
00
10
01
10
00
10
00
10
11
00
01
11
10
00
11
11
10
00
01
00
10
10
00
10
00
10
10
10
00
10
11
10
10
00
10
10
11
00
00
00
01
10
00
00
10
00
11
10
01
00
01
00
01
11
10
00
00
11
01
11
10
10
00
00
00
01
00
01
10
11
00
10
10
10
10
00
10
11
10
00
00
11
00
00
01
10
00
00
01
10
00
00
10
10
00
10
10
11
01
10
00
01
01
10
10
00
00
10
00
00
10
10
10
01
00
10
00
00
10
00
00
00
00
00
11
11
00
01
00
10
00
11
00
00
10
11
10
10
11
00
10
10
01
10
01
00
11
00
01
00
01
10
10
00
01
10
10
00
01
00
00
11
10
11
10
10
00
00
10
10
00
01
10
00
10
00
00
00
00
10
01
00
10
00
01
10
10
00
10
01
01
00
01
00
11
00
11
11
10
10
00
01
11
01
01
01
10
00
10
00
11
11
00
11
10
10
01
01
11
10
00
00
10
01
00
01
10
00
11
01
00
00
10
10
00
10
11
00
01
10
10
10
01
00
00
11
11
01
01
01
10
00
01
11
01
00
10
11
00
00
10
10
10
00
11
00
00
11
11
00
01
00
00
10
10
01
00
10
10
01
01
10
00
10
00
11
01
11
11
01
10
10
11
11
01
00
01
10
00
10
10
00
00
11
01
10
10
10
00
11
10
01
01
10
10
10
10
01
11
10
10
00
10
10
01
10
10
11
00
00
00
11
00
01
10
00
00
10
10
10
11
00
10
10
10
10
00
00
00
00
10
10
01
00
10
10
10
01
10
10
00
10
10
10
10
01
01
00
00
01
10
10
10
10
00
10
00
00
10
00
00
00
01
10
01
01
00
11
00
10
00
00
01
01
00
11
11
00
01
00
11
11
10
00
00
11
10
00
10
10
00
01
01
00
10
10
10
10
00
11
11
10
10
00
01
00
11
11
00
00
01
10
00
00
00
11
10
10
11
11
00
00
11
00
10
00
00
11
11
10
11
10
10
10
10
00
00
01
10
11
00
01
10
10
10
10
10
00
10
10
11
10
00
01
00
10
10
10
10
00
11
10
10
10
11
10
10
10
00
00
10
00
01
00
10
01
10
01
00
01
10
00
00
11
01
00
01
10
11
10
00
00
11
10
00
01
01
10
11
10
00
10
10
00
01
10
10
00
10
10
00
00
10
10
10
00
00
11
01
01
01
00
10
00
01
10
11
00
01
10
10
00
00
10
11
00
01
00
10
10
10
01
00
10
11
10
11
10
10
00
10
10
10
11
00
10
00
00
00
00
00
10
00
00
01
00
01
01
10
11
00
00
10
11
10
10
11
00
00
10
10
00
10
01
11
11
10
01
00
11
01
00
10
10
10
00
00
10
00
00
00
00
10
10
10
01
10
10
11
00
10
10
00
00
10
11
01
01
11
01
00
10
00
00
01
00
01
10
00
01
10
11
11
00
00
10
10
11
01
01
00
10
01
01
10
11
01
01
11
11
11
00
10
11
10
01
00
10
00
10
01
00
10
11
00
10
01
01
01
00
10
00
00
01
10
10
00
01
01
11
11
10
10
01
10
11
01
00
10
10
00
00
01
00
11
10
00
10
00
00
11
10
01
01
11
00
11
11
10
10
10
00
00
01
00
11
10
01
11
11
01
10
00
00
11
00
10
10
00
00
10
10
10
01
11
10
00
10
11
10
11
01
00
01
00
11
10
00
00
11
11
01
01
10
11
11
01
11
11
01
00
00
10
00
00
00
11
00
00
00
10
00
00
01
10
10
00
01
11
11
01
01
00
00
00
00
00
11
10
11
11
11
01
11
10
00
11
10
00
00
01
11
11
10
01
00
11
10
10
00
00
11
10
00
00
11
10
10
00
10
00
10
01
00
00
10
10
11
00
00
10
00
10
10
01
00
01
00
11
10
00
10
10
10
00
00
01
10
11
10
10
11
01
10
00
10
11
00
00
00
00
00
00
00
10
11
00
11
01
00
00
00
11
11
00
01
00
11
10
00
10
10
01
10
00
01
00
10
10
00
10
10
00
00
00
00
10
00
01
00
10
01
10
10
01
00
00
10
11
10
11
11
10
10
10
00
00
00
10
10
11
01
01
01
01
00
00
00
10
11
00
00
10
10
00
01
10
11
11
00
10
10
01
00
00
00
11
10
00
10
10
11
10
10
11
00
10
11
00
00
01
00
00
10
10
00
01
10
11
10
01
10
00
00
10
10
10
00
01
11
10
10
01
01
10
00
00
10
00
11
10
10
10
01
01
00
00
00
10
11
00
01
10
00
01
11
01
10
01
11
00
01
10
00
00
00
10
10
01
00
11
01
10
00
10
01
10
10
01
00
10
01
10
01
00
10
00
00
11
10
00
11
00
10
00
00
01
00
10
11
00
01
00
01
01
10
00
10
10
00
00
00
00
11
00
10
11
01
10
00
01
10
01
10
01
11
11
00
11
01
00
00
11
01
10
00
10
11
11
10
00
00
10
11
00
11
01
00
01
00
00
01
00
10
10
10
00
01
00
00
00
10
00
01
00
10
01
00
10
00
00
00
11
10
10
01
00
11
00
00
11
10
00
11
10
01
10
10
01
10
11
00
10
10
10
10
11
11
00
11
11
00
00
10
00
10
01
10
10
10
10
00
01
10
00
10
10
11
00
01
01
01
00
11
01
10
00
00
00
10
10
00
00
10
10
00
11
11
10
10
11
00
00
10
10
10
10
00
01
11
10
11
00
00
11
10
01
00
10
11
01
11
11
11
10
00
10
10
10
01
00
00
00
10
00
10
10
00
00
11
10
00
00
10
10
10
01
00
00
10
10
01
01
10
11
10
10
10
00
11
10
11
10
01
00
01
00
00
10
10
01
01
00
00
10
01
00
11
10
11
00
00
00
00
00
11
01
00
00
00
00
01
11
00
10
10
10
00
11
01
00
11
10
11
01
10
00
00
10
00
11
10
10
10
10
01
01
11
10
01
01
00
00
10
10
10
10
10
00
00
10
00
00
01
00
10
11
11
10
00
00
11
01
01
10
11
01
11
01
11
00
00
10
10
00
00
00
00
10
10
00
11
00
11
10
10
01
01
11
10
10
01
10
00
00
10
11
00
10
11
01
10
00
10
10
00
11
00
00
00
10
10
00
01
11
00
10
00
11
10
00
10
00
00
10
00
00
10
11
11
01
11
01
00
01
11
01
00
01
10
11
00
00
00
11
00
11
10
00
10
11
11
01
00
11
01
01
01
00
10
01
11
10
00
01
10
11
10
00
00
00
01
00
10
10
00
01
00
00
01
01
10
00
00
10
10
00
11
00
00
01
11
00
01
11
01
11
11
10
10
00
00
10
10
00
00
01
10
00
10
10
11
11
10
00
01
10
00
10
01
01
01
00
11
00
01
10
00
00
10
01
01
10
01
10
10
01
00
11
10
10
00
10
11
01
00
11
00
10
10
10
10
00
00
11
10
11
10
10
11
01
00
00
10
11
00
11
10
10
00
00
00
10
00
00
10
10
00
10
10
01
01
10
00
10
10
00
00
00
00
11
10
00
10
00
01
00
10
10
00
00
01
10
00
11
10
10
00
10
11
01
10
01
01
10
00
01
01
11
00
01
10
00
00
00
01
10
01
01
01
01
01
01
11
10
00
00
11
11
10
11
00
00
00
00
10
00
11
11
11
00
10
00
10
10
00
00
10
10
01
10
00
11
10
11
01
00
00
11
10
00
01
00
00
11
10
10
10
10
11
10
01
01
00
11
11
00
00
01
11
01
00
11
00
10
01
10
10
00
01
10
11
10
00
10
00
01
10
00
00
00
11
01
01
10
10
10
10
00
10
01
00
00
11
00
11
10
00
10
00
00
11
10
01
00
00
00
10
00
11
01
01
10
01
00
11
01
00
10
10
00
00
11
11
00
01
11
01
01
10
00
00
10
10
10
00
11
00
00
10
00
00
10
00
00
10
11
10
10
00
00
10
10
00
00
10
10
10
00
10
00
00
01
01
11
11
01
10
00
10
11
00
11
11
00
11
11
00
10
11
10
01
01
01
01
11
00
10
00
00
10
10
11
00
00
11
00
11
10
00
01
11
00
00
00
11
00
00
11
10
01
00
10
01
10
11
00
00
10
10
00
11
00
00
10
00
10
10
10
10
10
01
11
10
10
01
11
01
01
10
01
00
00
10
10
00
00
10
10
00
00
00
00
00
00
11
11
10
11
00
11
10
10
11
10
00
00
00
00
00
11
11
01
10
10
00
00
11
11
10
01
00
00
10
00
01
10
01
11
11
10
00
10
00
00
11
00
01
10
11
10
01
01
00
01
10
10
00
10
10
00
10
10
10
00
01
10
01
00
11
10
00
00
00
11
10
00
10
00
11
10
10
00
10
10
00
10
10
01
11
01
10
11
00
01
10
10
00
00
10
10
11
01
00
01
01
10
00
10
10
00
00
10
10
01
01
00
00
10
00
10
10
10
10
10
11
00
01
00
10
00
00
10
11
10
01
11
00
10
10
00
01
10
11
10
01
00
00
00
11
00
10
11
01
10
10
01
10
10
01
01
00
10
01
10
10
11
00
00
01
00
10
10
10
10
00
10
00
01
10
10
00
11
10
00
10
10
00
11
10
00
11
10
10
10
10
00
01
11
01
01
10
10
00
10
00
00
11
11
10
11
00
10
11
10
10
01
10
10
00
00
11
10
01
00
01
01
11
10
01
10
11
00
01
10
10
01
10
01
00
00
11
10
00
00
00
10
11
00
00
01
10
10
11
10
01
10
10
00
00
11
10
10
01
01
10
10
10
10
01
01
10
10
00
01
10
10
00
00
00
10
00
10
10
10
01
00
00
10
00
11
00
01
00
11
11
10
11
00
11
10
10
00
00
00
00
01
11
01
00
10
01
01
10
11
00
00
00
10
10
00
00
11
01
00
10
00
10
01
00
00
10
01
01
11
10
11
11
10
01
10
01
01
10
10
10
10
10
11
01
11
11
11
11
00
01
11
00
01
10
01
00
11
00
00
10
10
00
00
11
11
10
00
01
00
10
10
00
11
10
10
11
00
11
00
10
00
01
10
00
11
10
10
01
00
11
00
11
11
10
01
00
00
10
11
00
00
00
10
00
10
01
01
11
00
10
10
10
01
00
11
11
00
01
11
11
00
10
10
01
00
10
10
01
10
11
01
11
10
01
01
10
00
01
00
00
01
11
10
01
10
11
00
10
10
00
10
11
01
00
10
01
11
00
10
10
00
00
11
10
00
10
10
11
00
01
00
01
00
10
01
01
00
11
01
01
10
10
00
11
01
00
11
11
00
10
01
00
00
10
10
01
01
11
00
00
10
01
01
10
00
00
11
10
10
10
11
01
00
11
10
11
00
00
11
10
00
00
00
00
00
10
00
11
10
10
10
11
01
10
10
11
11
11
10
11
00
00
10
00
11
10
00
00
00
10
11
11
01
10
00
00
01
00
00
10
10
11
10
00
10
00
00
10
11
10
10
00
11
10
01
11
00
01
10
00
00
10
10
00
10
11
10
11
00
11
00
00
10
10
11
01
00
00
01
11
11
00
11
11
00
10
10
10
01
00
11
10
01
00
00
00
11
00
01
10
10
10
01
00
00
10
10
00
00
10
01
01
10
10
01
00
01
00
11
10
10
01
00
11
10
10
01
00
10
11
11
01
00
00
10
00
00
00
10
10
00
10
00
10
10
01
10
01
00
00
10
10
10
10
00
00
10
01
00
00
10
11
01
01
01
10
01
11
11
00
00
10
10
00
01
10
11
10
10
01
11
11
00
10
10
00
00
10
11
00
01
10
10
00
00
10
11
01
01
10
10
00
01
11
10
00
01
10
10
00
01
11
00
10
01
10
11
00
11
10
10
00
00
00
10
11
01
00
01
01
01
00
10
10
00
10
10
00
10
10
00
01
10
01
00
00
10
11
11
00
10
10
00
00
00
10
10
01
01
00
11
10
10
00
10
10
00
01
00
11
10
01
00
11
00
01
00
11
01
01
00
11
00
00
01
11
10
01
10
01
00
00
00
10
11
00
10
10
01
10
10
01
00
00
01
00
11
00
10
10
00
10
10
00
00
10
11
10
00
10
10
00
01
00
10
11
11
01
00
01
00
01
10
00
10
11
01
01
11
01
00
00
11
11
00
10
00
01
01
00
10
10
10
01
00
11
10
10
00
00
10
10
00
00
10
01
10
01
11
10
10
10
00
01
10
11
01
11
10
10
10
01
01
00
01
11
10
01
10
01
00
10
10
00
01
10
10
00
01
11
00
10
10
01
10
00
10
00
00
10
10
10
00
10
00
00
10
11
11
00
00
00
00
00
10
10
00
00
00
10
01
00
00
01
10
10
01
00
10
11
10
00
00
10
10
10
10
10
11
00
11
00
01
11
10
00
00
11
10
00
11
11
00
10
00
00
10
00
10
10
01
10
00
01
00
00
10
01
10
10
11
11
11
00
00
10
00
01
11
00
01
11
00
11
10
00
11
00
10
01
10
11
10
00
11
10
01
01
00
10
11
00
00
10
10
00
10
10
10
01
00
11
00
01
10
00
00
01
10
10
10
01
00
10
10
11
00
00
11
00
11
10
00
00
11
10
00
00
11
01
10
11
00
10
00
11
00
01
10
10
10
01
11
00
10
10
00
10
10
01
10
00
01
00
11
00
10
00
00
10
10
10
11
10
11
10
10
00
11
00
10
11
00
11
00
00
00
11
01
01
10
00
01
00
10
00
10
11
00
01
10
10
00
10
00
01
10
01
00
11
10
00
10
00
11
00
00
11
10
00
01
11
10
01
10
00
11
01
11
00
00
10
10
00
10
01
00
10
01
10
00
00
11
01
10
01
00
11
00
00
11
11
00
00
00
11
00
00
11
01
00
00
10
10
01
00
00
01
11
11
10
00
00
11
00
11
00
00
11
10
11
00
00
11
11
00
01
00
10
10
00
10
10
10
11
00
11
11
00
00
10
00
01
00
01
10
00
11
01
10
10
00
11
00
00
00
01
01
00
10
11
01
10
10
00
10
11
01
01
10
01
00
10
00
10
00
11
10
00
10
00
01
00
10
11
00
01
00
00
10
11
11
11
11
11
00
01
00
01
10
10
11
00
01
00
10
10
00
10
00
10
01
11
11
10
00
00
00
10
10
10
00
00
00
10
00
10
00
00
00
00
01
11
00
01
10
11
00
01
11
11
00
00
01
01
00
11
00
11
00
01
10
10
10
10
10
01
10
11
00
01
10
00
00
00
00
10
10
10
10
10
11
10
11
10
00
00
11
00
10
00
10
00
00
01
00
00
00
00
10
00
00
10
11
10
01
00
10
00
10
10
10
01
00
01
10
00
10
00
00
01
00
10
00
01
11
00
01
10
01
01
10
11
10
00
00
01
10
01
10
10
00
11
10
00
10
10
11
10
00
10
10
00
10
00
11
00
10
10
00
10
10
11
00
00
00
11
00
10
00
11
00
01
01
00
10
10
10
00
10
10
10
10
00
11
00
01
11
11
00
00
10
00
00
10
00
01
11
01
00
10
00
10
01
00
11
10
00
11
01
01
10
10
00
00
11
00
00
10
10
11
10
11
10
01
10
10
01
10
01
01
00
00
10
10
00
00
01
10
01
11
10
10
00
10
00
00
11
00
10
10
10
01
00
11
10
00
10
10
10
01
10
11
00
10
10
01
11
11
01
00
10
10
01
01
10
11
00
10
10
11
00
11
10
01
10
10
10
01
00
01
00
10
10
10
11
10
11
01
11
10
10
01
00
10
10
11
00
00
10
11
00
10
10
11
00
00
00
01
11
01
00
10
00
00
10
11
00
10
11
10
01
00
10
10
11
00
11
00
01
10
10
10
00
11
00
10
00
01
10
00
10
00
11
11
00
11
00
11
10
11
01
10
01
01
10
11
00
00
00
11
11
10
00
10
10
00
11
01
00
00
01
11
10
10
00
00
10
10
10
00
00
10
10
00
11
10
00
00
11
10
01
11
11
01
10
10
00
00
11
10
01
00
00
10
01
10
10
11
01
00
10
10
01
10
00
10
10
10
00
11
10
10
00
11
10
00
10
00
01
01
10
11
10
10
10
00
00
00
01
11
10
01
00
10
10
00
10
01
00
10
01
01
00
00
10
01
01
10
11
01
00
11
10
01
10
11
00
11
00
00
00
11
10
00
00
10
10
00
00
10
10
11
10
11
11
00
10
10
00
00
11
00
11
10
01
10
00
01
01
10
11
00
00
10
10
00
01
01
10
10
01
10
00
11
00
11
00
00
10
01
11
01
11
10
00
00
10
00
10
11
01
00
00
00
00
11
10
10
10
00
10
01
00
01
10
00
11
01
00
00
10
10
10
00
00
11
00
00
10
10
10
01
11
10
00
11
11
00
00
11
00
00
01
00
10
10
10
00
10
11
00
01
11
10
11
00
11
00
00
11
10
10
00
01
10
11
00
00
10
00
10
10
01
00
11
00
11
10
00
00
01
00
10
10
01
00
10
11
10
10
01
10
00
00
00
11
10
01
00
11
00
01
01
10
00
00
10
10
00
00
00
00
10
11
01
11
00
01
11
01
10
10
00
00
10
10
00
00
10
01
10
11
01
01
01
11
10
11
11
00
10
10
01
00
10
01
01
00
01
00
11
10
00
10
00
01
00
11
10
00
00
00
00
00
00
10
10
10
10
10
10
10
00
10
10
00
00
10
10
10
11
11
01
10
11
00
10
00
01
11
11
00
01
01
01
00
10
00
11
00
00
10
00
10
11
01
01
00
11
11
01
00
00
11
10
11
00
00
10
10
01
10
01
00
10
10
10
11
01
01
10
11
00
11
10
01
10
10
00
00
00
11
11
10
10
00
10
00
00
10
00
00
11
11
00
11
10
10
00
10
11
00
00
10
01
11
00
00
11
01
11
01
11
10
01
11
00
10
00
00
11
10
10
11
01
10
11
11
00
00
10
00
10
10
00
00
10
01
11
11
11
10
10
00
01
11
11
00
00
11
11
11
11
00
00
00
01
10
00
00
10
00
10
00
00
10
10
11
10
01
11
10
00
00
11
10
11
01
11
01
01
10
10
10
01
00
11
10
01
00
11
00
10
11
11
01
00
10
00
00
00
01
10
10
00
10
00
01
10
01
01
10
10
01
10
10
01
01
11
00
10
00
11
10
00
00
11
10
00
10
00
00
00
10
11
10
01
00
01
00
00
11
10
00
00
10
11
10
10
00
10
00
00
10
00
11
00
00
01
10
01
10
11
11
10
11
00
01
11
10
00
11
00
01
10
10
10
01
00
10
00
00
11
11
00
00
11
01
10
11
01
11
10
00
00
10
00
00
10
10
00
00
00
00
00
01
11
10
10
00
00
11
10
01
00
00
00
00
11
01
00
11
11
11
00
00
00
10
00
01
10
11
00
10
00
00
00
11
00
11
00
00
01
00
00
00
01
10
00
01
10
10
10
10
01
10
10
01
10
00
10
10
01
00
10
01
00
10
00
11
10
00
01
00
00
11
10
01
10
11
00
00
10
10
10
10
01
00
10
10
00
00
00
00
10
10
11
10
11
00
00
11
01
00
00
10
11
00
00
10
00
01
00
10
10
10
00
10
10
01
10
00
10
01
01
01
11
00
10
10
10
10
10
00
00
11
11
01
00
00
01
01
10
11
01
00
01
10
11
00
11
10
10
00
00
10
00
10
10
10
00
00
11
11
00
00
10
10
10
00
10
00
10
01
00
11
10
10
10
01
01
10
11
00
01
00
11
00
01
10
11
11
00
00
10
00
10
10
01
10
10
00
11
10
00
00
01
10
00
10
00
10
10
01
11
10
01
10
10
10
10
00
00
10
11
00
00
00
01
11
00
10
01
11
10
01
10
10
10
00
00
10
10
00
00
11
00
11
11
01
11
01
00
10
01
00
00
10
11
10
10
01
01
10
01
01
10
01
10
00
01
10
10
11
00
10
00
11
10
10
00
10
01
00
00
00
00
00
10
00
01
10
10
00
00
11
00
11
11
11
10
10
01
10
10
00
00
11
10
01
00
10
00
00
10
10
10
01
10
00
01
00
00
01
10
00
10
10
00
11
10
11
01
10
00
11
11
10
11
00
11
01
00
00
11
10
01
10
00
10
10
01
10
11
01
00
10
10
00
00
10
10
10
01
00
00
01
01
00
00
00
10
00
00
00
11
10
10
11
00
11
00
10
01
00
00
10
10
10
10
10
10
10
00
00
01
00
00
00
10
01
10
00
00
11
10
01
10
00
11
00
00
00
01
10
01
00
00
01
00
10
10
10
10
00
11
00
01
01
00
10
00
00
10
01
00
10
00
10
00
01
11
00
10
10
00
01
10
10
01
00
10
10
11
10
10
00
00
10
00
01
11
00
00
11
00
10
10
01
00
01
11
10
10
00
11
01
01
10
00
00
10
00
10
10
01
01
10
10
10
00
10
01
00
10
11
10
01
00
10
01
10
11
01
00
10
11
11
00
11
10
00
10
10
00
10
10
01
00
10
01
10
01
10
00
01
00
00
11
00
00
11
10
11
11
10
00
10
01
11
00
00
11
10
00
11
11
10
01
01
00
10
11
00
10
00
00
10
11
00
10
01
00
00
00
10
00
00
00
10
10
10
10
00
00
10
10
00
00
01
11
10
10
01
11
10
01
10
00
00
00
10
00
11
11
10
01
00
11
11
10
00
01
00
00
11
10
00
00
01
10
10
11
00
01
01
10
10
00
00
11
01
00
01
10
11
00
00
10
11
01
00
01
00
10
10
11
01
11
00
00
00
10
00
00
10
10
00
00
10
00
00
10
01
00
00
11
10
00
00
10
11
00
11
10
00
01
10
00
01
10
10
00
10
00
10
11
10
10
00
00
01
11
00
10
01
11
11
11
10
01
10
01
00
11
01
00
01
11
11
00
00
01
10
10
00
11
11
00
01
00
11
10
10
00
10
00
00
01
11
10
11
10
11
00
10
10
01
00
00
01
11
10
01
00
10
11
11
00
10
00
00
10
11
00
10
00
10
01
11
01
11
10
10
01
10
01
10
10
10
01
10
01
00
10
01
00
10
11
01
01
10
10
01
01
10
10
11
01
00
10
01
01
11
00
10
00
00
01
00
10
00
10
10
10
10
10
11
00
01
00
10
10
10
01
10
10
01
10
10
00
00
10
10
10
01
01
00
00
01
10
00
11
11
10
00
10
00
01
10
00
10
11
00
10
11
10
10
00
00
01
10
11
01
11
11
01
10
01
00
10
10
10
01
10
00
01
10
10
10
10
00
10
11
11
10
01
01
10
00
10
00
00
10
10
00
00
11
10
10
00
00
10
10
01
01
01
10
11
00
00
00
10
10
00
11
11
11
00
00
00
01
10
00
00
10
00
11
00
01
11
11
11
00
00
11
10
00
00
11
11
00
00
10
00
01
00
11
10
10
00
10
00
00
00
10
10
00
01
00
10
01
00
11
01
00
00
00
10
10
00
00
10
11
01
11
10
10
01
00
10
10
10
01
00
00
10
00
01
00
01
10
00
10
10
01
00
11
10
01
00
00
01
11
00
00
10
10
01
01
10
11
00
10
00
00
00
11
00
01
00
10
10
00
00
00
10
10
10
00
01
00
01
00
11
10
11
00
10
11
00
00
11
10
00
10
11
01
01
10
01
01
10
11
01
10
00
01
11
10
00
00
11
11
00
00
01
10
10
10
00
10
11
11
00
00
10
00
11
00
00
10
10
01
10
10
11
00
10
00
00
11
10
10
01
00
00
00
00
10
10
00
10
10
01
00
00
10
11
00
00
11
11
00
10
10
00
01
10
00
00
01
10
01
10
11
00
10
11
00
10
11
10
10
00
01
10
00
01
10
11
00
10
10
01
11
11
00
10
00
00
00
10
00
01
00
11
10
01
10
00
00
11
10
01
10
11
01
10
00
10
10
01
00
11
00
10
00
01
10
11
10
01
00
11
01
00
11
11
10
00
01
10
10
11
00
00
00
11
10
00
01
10
11
10
10
00
00
10
10
00
01
01
10
10
10
10
00
01
10
00
10
00
10
11
10
01
00
11
10
11
01
11
10
10
00
00
01
00
11
10
00
00
01
10
10
11
00
10
10
11
00
10
00
01
11
10
10
10
10
10
00
11
10
11
00
10
01
10
00
00
00
11
00
01
11
00
10
00
00
01
00
10
00
11
11
10
11
00
00
10
11
10
01
10
10
10
00
11
11
00
01
10
00
01
01
10
11
00
11
10
10
01
10
01
00
10
10
10
00
00
10
10
11
00
10
00
00
00
10
10
01
11
01
00
01
10
10
10
10
10
00
01
10
10
01
01
01
01
01
10
01
11
00
11
10
01
00
10
10
00
11
11
00
00
01
11
01
01
00
11
11
00
11
10
10
01
01
10
00
10
10
01
11
10
01
01
00
00
00
11
11
11
01
01
01
00
10
00
00
11
10
00
10
01
10
11
00
00
10
01
11
00
11
10
10
10
00
01
01
10
10
11
10
10
00
00
10
10
00
01
10
10
00
00
00
10
01
10
00
00
11
10
10
00
00
00
10
01
00
10
10
00
01
01
10
10
10
10
00
10
10
00
01
10
00
00
01
11
01
01
10
10
00
10
00
00
11
10
00
00
11
00
01
10
00
01
10
11
00
01
10
10
01
00
00
10
10
10
00
11
10
00
10
10
01
11
11
00
00
10
10
00
01
00
10
01
10
10
10
10
00
10
00
10
11
00
01
10
11
10
00
10
00
11
10
00
01
11
00
01
10
00
10
10
10
00
00
10
11
00
10
10
00
00
10
10
11
10
01
11
00
00
01
11
00
00
10
10
10
10
10
10
11
11
00
10
10
11
11
10
10
11
00
01
10
11
11
01
10
00
00
01
01
11
00
00
10
10
11
10
11
11
00
01
01
00
10
00
00
10
00
00
10
11
00
10
11
10
11
00
10
11
00
10
11
00
01
10
11
00
10
00
00
10
11
01
00
11
00
00
00
01
10
10
10
00
01
11
11
10
00
00
10
01
00
01
00
00
10
11
00
10
10
00
00
00
00
00
11
00
10
01
10
10
00
10
10
00
11
00
10
00
00
00
10
10
10
10
10
00
00
01
11
01
00
11
01
01
11
00
10
10
00
01
10
10
00
01
00
01
00
10
11
10
11
10
00
00
10
00
01
10
10
00
00
11
11
11
00
10
11
10
00
11
11
00
10
11
11
11
11
01
01
00
11
00
10
10
10
10
00
11
01
01
11
11
00
00
01
00
00
10
11
01
01
11
10
10
10
00
01
00
10
11
10
00
10
01
00
10
10
01
10
00
10
10
00
00
00
10
01
10
10
01
10
00
10
10
10
01
00
01
11
10
01
10
10
00
10
11
00
10
00
00
11
00
10
00
00
01
00
10
00
11
10
01
10
01
00
11
00
11
01
10
10
10
10
00
00
11
00
00
10
00
11
10
01
00
10
10
10
11
01
10
11
00
10
00
01
10
10
10
01
00
00
11
00
10
00
00
11
11
01
11
10
10
00
00
01
10
01
00
10
01
00
00
11
10
00
01
00
11
00
01
11
10
00
01
11
10
00
00
00
11
10
10
00
00
10
00
10
00
00
11
00
11
00
01
10
01
10
00
10
11
10
10
10
01
10
11
00
11
11
00
10
11
10
10
01
00
10
00
10
01
10
00
00
10
01
10
10
00
10
00
10
11
11
01
00
00
00
00
10
00
10
11
00
00
10
10
10
00
00
10
00
00
00
00
10
10
11
11
00
11
01
11
11
11
00
11
01
00
10
10
01
00
01
10
10
00
01
10
00
01
00
01
00
11
11
10
11
11
10
00
00
10
11
00
01
01
01
10
00
01
11
01
00
00
10
10
00
00
10
11
10
10
00
11
00
00
10
10
00
01
11
00
11
11
00
01
10
00
10
11
01
10
01
01
00
10
00
00
01
00
00
10
10
11
01
00
10
10
00
10
10
10
00
10
10
01
11
00
11
10
10
01
10
00
10
11
00
01
11
11
11
11
11
00
01
10
10
01
00
10
00
00
10
10
11
00
00
11
10
01
00
00
10
10
00
00
10
10
10
11
00
01
01
00
01
11
00
01
11
10
10
10
00
00
01
11
10
00
10
00
00
01
10
00
00
00
00
00
00
00
00
10
00
10
10
10
01
00
00
10
11
11
00
00
10
01
10
10
00
10
00
00
10
10
10
01
00
00
01
10
11
00
10
00
01
10
01
10
10
10
00
10
00
10
10
01
00
01
00
01
00
11
00
01
00
10
01
01
10
10
01
01
10
00
00
01
01
00
11
10
01
00
01
00
11
00
01
10
00
10
11
00
01
10
00
00
10
10
00
00
11
10
00
10
11
00
11
11
01
00
00
00
10
10
10
01
00
10
10
00
00
10
11
01
00
10
10
10
10
10
10
00
00
01
01
10
10
01
10
01
10
00
01
00
11
11
10
10
00
00
01
00
10
10
00
11
01
00
00
10
11
00
00
10
10
10
00
01
10
01
11
00
10
01
01
00
10
10
00
11
10
10
00
11
01
10
10
01
11
00
00
11
10
10
10
00
01
00
00
11
10
11
00
11
00
10
10
00
00
11
01
00
00
00
10
10
10
10
11
01
00
10
00
01
11
00
00
10
11
10
10
01
10
01
00
10
00
10
00
10
10
01
00
10
10
01
00
10
01
11
01
10
00
11
00
11
10
00
01
11
00
11
01
00
00
01
10
11
10
00
00
10
01
01
10
10
10
00
10
10
00
00
10
10
00
00
11
00
01
10
00
11
11
00
01
11
11
01
10
10
01
00
00
11
11
01
10
10
01
10
11
01
10
10
00
00
01
11
00
10
10
01
00
10
10
10
01
10
00
00
10
10
01
10
00
11
00
01
10
01
01
11
00
11
01
11
00
00
10
11
10
01
01
10
10
01
00
01
00
01
10
10
00
10
01
00
00
00
10
10
00
01
00
00
10
11
00
10
11
11
01
11
01
10
01
11
00
00
10
01
01
00
10
11
01
11
10
10
01
01
10
00
00
00
10
00
11
10
10
01
00
01
10
00
00
10
00
10
01
00
11
11
10
10
10
00
10
00
11
00
10
10
10
10
01
00
01
00
11
00
11
10
00
11
10
10
00
01
10
10
10
10
00
00
01
01
01
10
00
01
10
10
01
10
11
10
00
00
10
10
01
00
10
11
01
10
11
01
11
00
01
01
10
11
00
11
10
00
01
11
00
00
10
00
01
11
10
00
00
11
11
10
10
11
01
10
10
00
01
00
00
00
00
00
00
00
11
10
01
00
10
10
01
00
11
00
01
00
11
01
10
00
00
00
10
01
00
10
10
00
10
11
00
00
01
00
10
10
10
10
10
01
00
00
01
00
01
10
00
10
00
11
10
01
00
01
10
00
11
00
10
10
00
01
10
00
00
00
11
00
01
10
00
01
11
10
00
00
00
10
10
10
00
00
10
10
01
10
10
00
10
11
10
11
00
10
10
10
10
00
00
10
00
00
10
01
10
10
00
11
11
10
10
00
10
01
00
10
00
00
11
10
10
10
01
10
11
00
10
01
00
01
01
00
11
01
01
11
01
01
00
01
00
00
10
10
00
10
11
00
00
10
10
11
10
00
11
11
11
10
00
11
00
00
01
10
10
01
10
00
00
10
10
10
01
00
11
00
00
01
10
00
10
11
11
00
11
11
00
10
10
10
00
10
10
10
00
10
10
00
10
10
00
00
01
10
10
01
00
00
10
00
00
11
01
01
10
10
11
01
10
00
00
10
01
10
10
01
00
10
10
01
01
10
10
11
00
00
10
00
00
00
00
10
11
10
11
10
10
01
00
00
10
01
00
01
11
00
00
10
01
10
10
10
00
00
10
00
00
01
11
01
10
11
10
11
10
10
00
00
01
10
00
01
11
11
00
00
10
00
01
01
11
11
00
00
10
10
00
00
01
10
01
00
10
10
00
10
10
10
10
00
00
00
00
00
11
00
01
00
11
00
00
10
00
00
10
10
00
00
11
10
00
10
00
00
11
00
00
00
01
01
10
11
10
10
00
11
10
01
01
10
00
01
10
00
10
11
01
00
11
10
10
01
00
10
10
10
00
11
11
01
01
00
01
10
11
00
10
10
00
11
10
00
10
10
00
11
10
00
10
00
10
10
10
10
10
00
10
00
10
11
01
10
10
00
10
10
00
00
10
00
00
00
10
10
10
00
00
10
10
01
10
01
00
11
00
01
10
00
11
11
00
00
11
10
10
10
01
11
11
01
01
11
00
01
11
00
00
11
10
10
00
00
10
00
01
10
00
11
10
10
01
00
10
10
01
01
10
10
00
10
10
00
00
10
00
10
01
00
00
10
10
10
00
00
01
11
10
01
10
00
10
11
00
00
00
10
11
10
01
00
10
00
00
00
11
11
00
00
01
10
00
11
11
10
10
00
00
11
11
10
10
11
01
00
00
00
00
10
11
11
11
10
11
00
11
10
01
10
01
11
00
00
11
10
01
00
11
01
00
11
00
10
10
10
10
10
01
01
01
00
00
00
10
00
00
11
11
10
00
00
10
11
00
01
11
10
00
00
00
10
00
01
00
10
00
11
00
11
10
10
11
00
00
10
00
01
10
10
00
10
01
00
00
00
01
10
10
11
10
00
00
10
00
11
10
01
10
10
00
10
10
10
10
10
11
00
10
00
10
11
10
00
00
00
00
11
10
00
10
10
00
10
00
10
01
10
11
00
01
00
01
00
00
01
11
01
01
10
10
10
11
00
10
11
01
00
01
10
10
10
00
00
11
10
00
10
11
01
11
11
00
00
11
00
01
10
11
00
01
01
10
00
00
10
11
10
00
01
00
00
00
10
00
10
11
00
00
00
10
11
11
00
00
11
10
01
11
11
01
00
10
10
00
01
10
10
10
00
10
11
00
10
10
11
01
01
00
01
00
01
01
10
10
11
10
00
00
10
11
01
00
01
01
10
00
01
10
10
01
00
10
11
00
01
10
10
00
10
00
11
11
00
10
11
00
01
10
10
11
00
00
00
00
11
00
00
11
11
10
00
10
00
10
10
10
01
10
10
01
10
11
11
00
01
00
00
11
00
00
10
00
01
10
10
01
11
00
10
01
00
10
10
00
10
11
00
10
10
10
01
10
00
01
10
00
10
10
11
00
10
01
00
10
00
10
01
00
00
10
10
00
10
10
00
00
10
01
10
10
10
10
00
10
10
11
00
00
11
01
00
00
10
10
00
00
10
00
01
01
00
10
10
01
00
10
10
11
11
01
00
11
00
01
10
01
10
00
01
10
10
01
01
10
00
10
10
11
00
00
01
00
10
11
00
00
00
11
11
11
00
10
10
11
00
00
00
11
01
00
11
10
00
11
10
10
00
10
10
11
01
00
10
01
11
10
01
00
11
01
10
10
01
10
10
11
01
10
10
00
00
00
10
00
01
10
10
00
11
10
00
10
01
10
01
00
11
00
10
11
01
01
11
01
00
10
10
10
00
00
10
00
00
10
10
01
11
10
00
00
01
01
00
11
10
11
01
01
01
11
00
00
10
10
01
01
10
11
10
00
10
11
00
11
10
10
10
00
00
00
10
10
00
00
00
00
10
11
11
11
10
00
00
01
00
10
10
10
10
00
01
00
01
10
11
10
00
11
10
00
00
00
10
01
00
10
00
10
00
10
10
00
00
10
10
11
11
11
01
11
11
11
00
00
10
10
01
10
10
01
11
11
01
10
10
11
00
00
10
10
00
00
10
01
10
10
10
01
00
01
11
00
10
10
00
00
10
10
01
10
10
10
10
00
10
10
01
10
11
11
00
00
00
10
11
11
00
01
10
10
10
00
10
11
10
00
01
10
11
01
00
11
10
00
00
00
10
10
01
10
01
10
10
00
00
00
10
00
00
00
00
00
01
10
10
00
00
11
10
01
10
10
00
01
10
01
11
01
00
11
00
10
10
10
11
00
11
10
01
10
01
00
01
01
10
11
01
01
10
00
00
00
00
10
10
01
00
10
01
10
01
10
01
10
11
11
01
10
10
10
10
10
00
00
10
11
00
11
10
11
00
10
00
10
10
01
00
10
11
10
00
10
01
00
10
11
00
01
11
10
01
10
11
10
10
01
10
01
10
10
10
10
00
01
00
11
00
10
00
01
10
01
10
11
10
10
00
10
10
00
00
10
00
10
01
01
00
01
00
01
00
10
10
00
10
11
10
01
11
01
10
00
00
01
11
10
00
01
01
10
10
10
00
00
11
00
10
10
00
00
10
10
10
10
00
10
01
00
01
10
11
11
01
00
00
10
10
11
00
10
10
01
01
10
10
11
10
00
01
00
11
10
01
01
01
01
11
10
10
11
00
00
10
11
01
11
10
01
00
11
11
01
10
10
00
01
10
10
01
10
10
00
00
00
00
10
10
00
01
10
11
01
00
00
00
10
11
00
00
00
10
00
11
10
01
01
10
10
10
01
10
00
10
10
00
11
00
01
11
00
00
11
10
00
01
10
01
01
00
11
10
01
00
00
10
01
10
00
10
11
10
01
00
10
01
10
01
01
11
11
01
10
10
00
00
00
10
10
01
00
01
10
00
00
01
11
00
00
00
10
00
01
11
11
11
10
00
10
10
00
00
00
10
00
01
00
11
11
00
11
10
01
00
10
00
00
10
10
10
01
10
00
10
00
00
00
01
00
10
11
00
10
10
00
10
10
00
00
00
11
10
00
00
10
00
01
00
11
11
01
00
10
01
00
11
10
01
00
11
10
10
10
00
00
11
00
00
00
10
01
00
00
10
00
10
10
10
10
00
00
00
10
00
00
00
00
00
01
11
00
11
01
10
10
00
10
10
11
00
00
11
00
10
00
10
10
10
10
01
00
10
10
11
11
00
00
10
10
00
00
11
01
01
10
00
00
10
10
00
11
10
00
00
10
01
00
01
00
10
10
10
11
11
00
00
10
10
01
01
10
11
01
00
00
11
11
00
00
11
11
10
00
00
01
00
11
10
11
01
01
10
00
00
11
11
01
11
10
01
00
00
10
00
00
10
10
00
00
01
10
00
10
01
00
10
10
00
01
10
00
01
10
10
00
01
00
10
01
01
10
10
11
10
00
11
01
01
11
01
11
00
10
10
00
00
11
11
10
00
11
00
00
11
00
01
00
00
10
01
01
01
10
11
10
10
10
10
10
00
01
10
01
00
11
00
10
10
00
11
10
00
00
11
11
00
11
10
01
11
10
10
00
00
11
00
10
01
00
00
00
00
10
11
01
10
11
00
00
00
11
10
01
00
01
11
11
01
10
00
10
10
00
00
10
10
11
11
00
10
10
10
00
10
01
00
10
01
01
10
10
00
10
11
10
00
00
10
10
01
10
11
00
00
11
00
00
10
00
11
10
00
10
00
10
10
01
00
11
10
01
10
00
11
10
00
00
01
10
10
10
10
10
11
10
00
10
10
00
00
00
10
01
00
01
10
10
00
00
01
01
10
10
11
00
10
00
01
01
00
11
10
10
01
01
00
00
00
10
10
11
10
00
10
10
00
10
10
00
10
10
00
11
10
01
01
10
00
01
00
00
00
10
01
00
10
01
11
00
00
11
10
00
01
10
10
00
00
10
11
10
00
01
01
00
10
10
10
11
11
00
11
10
10
00
11
10
01
01
10
10
10
01
00
10
10
01
01
11
10
00
01
10
10
00
11
10
11
00
00
11
10
11
00
10
10
00
01
01
11
11
10
00
01
10
11
00
00
10
10
00
10
00
00
00
00
10
01
10
01
00
01
00
00
10
10
00
00
00
10
00
11
00
10
01
10
10
10
00
11
00
00
01
00
11
00
00
10
10
10
01
10
10
00
10
01
10
00
10
11
00
10
01
00
11
11
10
10
01
00
00
10
10
10
11
00
00
00
10
01
11
11
00
11
00
01
00
11
01
00
11
11
11
01
10
01
00
10
10
00
11
10
10
00
00
10
10
11
00
01
11
10
11
00
01
01
10
10
00
10
11
10
01
00
10
11
00
10
00
01
11
10
10
00
00
10
10
00
01
10
10
11
00
11
11
00
01
10
01
10
11
01
01
11
10
10
10
10
10
00
00
01
10
00
00
10
10
01
00
10
11
01
11
11
01
10
10
01
01
10
10
00
00
00
10
01
10
00
00
01
10
00
10
10
00
11
10
01
01
11
10
11
10
10
01
01
10
11
01
01
10
00
11
11
01
00
10
11
10
00
00
01
11
01
00
10
11
10
00
01
00
10
00
10
10
00
01
00
01
10
11
00
00
01
10
00
10
10
00
00
01
10
11
11
10
10
10
00
10
00
01
10
10
01
00
10
10
00
10
10
00
00
11
11
00
10
10
10
00
01
00
10
11
10
00
10
00
00
00
00
01
00
10
00
00
10
10
00
01
10
00
01
11
10
10
10
01
10
10
00
10
11
00
11
00
01
10
00
11
11
10
01
00
10
00
01
11
10
00
00
00
00
00
11
01
01
11
01
10
00
01
01
10
10
00
00
00
11
01
01
10
11
10
10
10
00
00
10
10
11
10
01
00
10
01
00
10
10
00
10
10
00
00
11
10
00
01
10
00
11
00
00
00
10
10
00
01
10
01
00
11
11
00
10
00
00
10
01
11
00
10
10
00
10
01
00
00
10
10
01
10
10
10
01
01
11
10
01
00
00
01
10
00
00
10
01
01
10
11
01
01
10
00
01
10
10
01
10
10
11
01
00
00
10
10
10
11
11
00
01
10
10
00
00
10
00
10
11
10
10
11
11
10
10
00
01
10
11
00
00
10
10
10
10
11
00
10
10
10
10
11
00
00
10
11
01
10
01
00
11
10
01
10
10
00
01
00
11
10
00
00
00
11
00
10
10
11
11
01
11
10
01
10
00
10
00
01
10
10
10
00
10
00
00
00
10
10
00
00
10
01
00
11
00
00
00
00
11
11
10
01
10
10
00
10
00
01
11
11
01
10
11
00
10
10
00
01
10
10
01
10
00
01
01
10
10
10
10
10
10
01
01
10
11
10
11
11
00
01
10
10
01
00
11
10
11
00
00
10
10
11
01
00
10
11
01
01
11
00
00
10
11
00
00
10
10
10
01
01
00
11
10
10
10
01
10
11
01
00
01
10
00
11
01
10
10
10
10
10
00
10
00
10
11
10
10
11
01
00
00
00
11
00
00
00
10
11
00
01
00
10
10
00
00
11
10
00
10
11
00
00
10
11
10
00
11
00
10
01
00
00
10
00
10
11
10
00
10
00
01
10
11
10
01
00
01
01
01
11
10
10
01
10
10
00
11
10
10
10
01
10
10
00
01
10
01
00
01
10
00
01
10
10
01
00
10
10
00
10
10
00
00
01
10
01
01
10
00
10
01
10
10
00
01
10
00
01
00
01
00
10
00
01
10
10
00
01
10
10
00
00
00
10
11
10
00
00
10
10
10
11
00
00
00
00
10
10
00
00
00
10
10
00
00
11
10
10
10
00
10
10
00
10
10
11
00
00
10
01
10
00
00
11
01
10
10
11
01
10
10
00
00
11
10
00
10
00
00
10
10
01
11
11
11
10
00
01
00
10
11
01
00
11
11
01
10
11
11
10
10
00
00
10
10
10
10
10
10
00
01
00
10
10
10
10
00
00
10
10
00
11
01
00
00
00
11
00
00
10
11
00
11
10
10
01
00
10
00
11
11
01
01
11
01
01
01
01
10
10
10
01
01
00
11
11
01
00
10
10
01
00
11
10
00
00
10
01
00
01
11
10
00
01
11
00
01
10
11
00
01
10
10
00
00
10
10
10
00
01
10
10
10
10
00
11
01
11
10
00
00
11
10
00
00
10
10
01
01
11
00
01
10
00
00
10
10
00
00
11
00
00
10
11
00
00
10
10
10
11
11
00
10
11
10
01
10
00
01
10
10
01
00
10
10
10
00
00
00
00
10
10
10
00
01
00
10
00
10
10
01
00
10
10
11
10
01
11
10
11
01
00
00
10
00
11
10
00
01
10
00
00
10
10
00
00
00
00
10
11
10
01
00
10
10
00
00
01
00
11
01
01
10
10
11
10
11
10
10
01
01
00
00
11
01
01
01
11
00
00
10
10
00
00
10
10
10
01
10
10
00
00
10
01
10
01
01
11
01
00
11
10
00
00
00
01
00
11
10
00
00
10
01
11
00
10
10
00
00
00
10
10
10
10
10
11
10
11
11
01
01
10
10
11
00
00
10
10
00
00
00
00
10
10
00
11
10
11
10
11
10
00
00
00
10
10
00
10
10
10
01
00
10
10
11
10
00
10
01
00
11
10
11
10
10
00
00
10
00
00
10
10
01
00
10
00
00
10
10
11
00
10
01
10
01
00
00
11
10
10
00
00
00
11
10
11
00
10
00
01
10
10
11
01
00
10
00
11
01
00
10
01
01
10
10
11
10
01
01
00
11
01
00
00
01
10
11
10
01
10
11
00
11
01
00
00
01
10
10
00
00
00
00
00
01
11
10
00
00
10
10
00
00
00
00
01
11
10
11
00
11
00
00
10
00
10
00
00
10
11
01
10
01
00
00
10
00
00
11
10
00
00
00
01
10
01
11
00
01
00
00
10
00
11
11
00
10
11
10
10
10
11
00
01
00
10
10
01
00
10
11
01
01
11
10
01
10
00
00
11
10
00
00
10
11
00
00
10
10
00
11
01
00
01
01
00
10
11
00
10
01
01
10
10
10
11
01
01
10
11
00
00
00
10
10
01
01
11
00
11
00
01
01
01
11
01
11
00
10
11
00
10
10
00
11
10
00
00
10
10
10
11
10
00
01
10
11
10
11
00
11
00
00
00
10
00
00
10
11
00
00
10
00
01
11
10
11
10
00
01
00
00
10
10
10
11
11
11
10
00
01
10
11
00
00
00
11
11
11
10
01
10
11
10
10
11
11
00
01
01
00
10
01
10
01
01
10
11
01
10
01
10
00
00
10
10
10
10
01
00
00
00
10
11
10
10
11
00
01
00
10
10
01
11
00
01
10
00
01
10
10
11
00
10
01
01
11
10
00
00
01
10
00
00
11
00
10
01
00
10
10
00
01
00
11
00
01
10
00
00
10
00
10
10
00
10
10
00
01
00
00
00
01
11
10
00
10
10
00
10
10
00
01
11
11
11
00
11
00
10
00
00
11
11
10
01
01
10
10
00
10
11
00
11
00
10
10
11
00
10
00
00
10
10
01
01
11
10
10
11
01
01
01
10
10
00
00
10
10
00
01
00
10
10
11
01
01
10
01
01
00
10
11
11
01
10
10
00
00
10
10
01
10
01
01
00
00
10
10
11
00
01
10
00
00
10
00
01
10
01
10
10
10
00
01
00
00
00
01
10
01
11
10
10
10
00
10
00
01
10
11
00
01
00
11
11
00
11
01
00
01
00
10
10
01
00
11
00
00
00
00
10
00
11
10
01
01
00
11
11
11
10
10
01
10
01
00
10
10
00
01
01
10
00
11
10
10
10
00
01
11
11
10
10
01
10
00
01
01
10
10
11
00
00
10
10
00
10
00
00
01
11
11
01
10
00
00
00
00
11
00
01
10
10
00
10
00
00
10
11
01
00
01
10
10
01
00
10
10
11
00
01
10
00
00
01
11
01
00
10
11
00
11
10
01
00
10
01
00
11
11
01
10
10
00
10
10
00
01
11
00
10
01
10
00
01
10
10
10
01
11
01
10
10
11
01
00
00
10
11
10
00
10
01
10
01
01
10
11
00
10
00
00
10
10
10
00
00
10
10
00
00
10
11
11
00
10
10
00
00
11
10
00
10
00
10
11
01
11
00
00
11
11
10
10
10
00
10
01
00
00
11
01
10
01
00
01
01
10
00
00
10
11
01
10
10
11
10
00
11
01
00
10
10
11
10
11
00
00
10
00
10
10
11
00
00
00
10
00
10
00
10
01
00
11
10
00
11
00
00
10
10
10
00
00
00
00
10
11
00
10
01
00
10
00
00
10
00
01
10
01
00
10
00
01
00
10
10
00
01
10
10
11
00
11
01
11
10
11
10
00
00
00
01
00
10
10
00
10
10
11
00
01
00
00
00
10
11
00
00
10
01
00
10
01
10
00
11
10
00
01
01
11
10
00
01
10
10
11
10
01
10
01
01
01
01
11
00
10
00
00
10
11
11
01
00
00
10
11
10
10
01
10
10
11
00
01
11
10
01
10
10
00
11
11
01
10
11
10
01
00
11
10
00
00
11
00
11
10
00
00
01
10
00
10
10
10
00
01
10
10
00
10
10
10
11
00
11
00
00
11
00
00
01
00
00
00
10
10
10
10
00
11
10
10
10
00
11
00
00
10
10
10
10
10
01
00
00
10
10
00
01
11
00
00
00
01
10
00
11
11
10
00
11
11
00
01
01
11
00
00
10
10
10
00
01
01
10
00
10
10
00
00
10
11
00
10
00
10
00
00
10
10
11
00
10
01
11
11
00
00
10
00
00
00
10
10
00
00
01
10
10
00
00
10
00
10
10
10
10
10
10
11
11
01
10
11
00
00
00
00
01
10
11
01
01
00
10
10
00
00
11
10
10
00
01
10
10
00
00
00
11
10
11
10
00
11
00
10
00
00
00
10
01
11
10
00
00
00
10
11
10
01
11
10
11
11
10
11
00
00
10
10
10
00
10
11
01
00
01
11
01
10
00
11
11
01
01
11
11
11
01
00
11
10
01
00
10
11
00
11
10
10
10
10
10
11
00
00
11
10
01
01
10
00
01
10
10
11
10
11
00
00
11
01
11
10
00
00
00
01
00
01
10
11
00
01
01
01
00
10
00
01
00
11
10
00
10
01
10
11
00
00
00
01
10
10
00
01
10
01
00
11
11
10
10
00
10
00
01
11
11
01
00
01
00
00
00
10
10
00
00
01
00
10
10
00
10
10
10
10
01
00
11
00
10
01
11
01
00
10
11
10
00
10
00
10
01
00
10
10
11
00
11
10
01
00
01
01
11
10
11
10
00
01
10
01
01
11
10
11
00
01
00
01
10
00
10
11
11
00
10
10
10
11
00
00
10
10
00
00
00
10
00
10
00
00
11
10
00
10
10
11
00
00
00
11
10
00
10
01
11
10
00
01
00
10
11
00
10
10
00
00
10
10
10
10
10
10
00
00
10
11
00
00
10
10
10
01
10
01
10
10
10
10
00
11
00
00
10
10
11
10
00
10
00
10
01
00
00
00
10
00
10
01
10
01
11
10
10
00
00
11
11
11
01
01
00
10
10
10
01
00
10
10
11
10
10
00
10
00
10
10
00
00
10
10
10
10
00
10
10
11
01
10
10
00
01
00
01
11
10
01
10
00
00
10
00
00
01
01
00
00
10
10
00
11
10
00
00
00
00
10
00
10
10
00
00
00
10
01
11
11
00
01
10
11
10
00
00
11
11
00
00
11
11
00
11
00
01
10
10
11
10
00
01
00
11
00
11
11
00
00
11
10
00
11
11
00
00
00
10
10
10
00
01
10
10
01
10
01
01
11
10
11
00
00
10
10
11
10
11
01
00
11
10
00
10
10
00
10
11
11
00
11
00
10
11
00
01
10
11
01
10
10
10
01
01
00
11
10
10
10
00
00
11
00
01
00
01
00
01
00
00
00
10
11
00
00
10
11
00
00
10
10
00
10
01
01
00
01
11
10
10
11
11
00
11
01
01
11
10
00
10
10
00
11
01
01
00
00
10
11
01
11
01
01
11
10
11
00
01
10
01
00
10
11
10
00
00
10
10
01
10
01
11
01
10
11
00
11
10
11
10
00
00
10
00
00
00
10
10
01
10
10
00
01
00
01
10
01
11
10
10
10
10
11
10
01
01
00
10
00
00
11
10
00
01
01
10
00
10
10
00
10
01
10
01
10
11
01
00
01
10
00
01
11
11
00
01
00
00
00
10
10
11
11
01
10
11
11
00
10
10
00
00
00
10
10
00
00
10
00
10
00
00
10
01
10
00
01
00
00
00
10
10
00
00
01
11
11
00
11
10
00
10
10
01
10
10
00
00
10
00
01
10
10
10
00
11
00
10
01
10
10
00
11
00
00
10
00
11
11
00
01
00
10
00
00
10
10
00
00
00
10
10
01
11
01
00
10
11
00
00
10
11
01
00
11
10
11
00
00
10
01
00
10
00
01
00
01
00
10
10
11
00
00
01
10
10
00
01
00
10
11
00
00
00
00
00
10
10
10
10
10
00
11
10
00
01
10
01
00
01
00
00
10
10
10
00
10
00
10
10
01
10
00
11
00
10
00
10
11
11
00
10
00
01
01
00
11
10
01
11
11
10
00
00
10
00
01
10
10
11
11
00
10
10
00
01
00
11
11
01
11
11
10
00
11
10
01
00
10
11
11
10
10
10
00
10
10
00
01
00
01
10
11
10
00
00
10
10
00
00
10
00
10
11
11
11
00
01
00
01
11
10
00
00
10
10
10
00
11
10
01
10
10
01
11
10
01
00
11
10
11
10
11
00
00
11
10
01
00
00
10
10
01
01
10
10
11
00
10
11
00
00
10
11
10
11
01
00
10
10
01
00
00
10
11
00
01
11
11
01
00
10
00
01
10
10
10
00
01
11
10
11
10
00
01
10
11
00
11
10
10
00
01
10
00
00
10
10
10
10
00
10
11
10
11
00
10
10
10
11
10
10
00
10
11
11
01
00
11
10
00
01
00
00
10
10
00
11
10
10
10
00
00
01
10
10
11
01
01
10
11
10
10
00
01
10
00
00
11
10
11
00
01
10
11
10
00
11
11
00
00
10
11
11
11
01
00
10
10
00
00
01
10
10
01
11
01
00
11
10
11
00
10
11
11
01
00
00
10
01
00
01
10
11
00
10
10
00
11
00
10
10
00
00
10
00
01
10
10
01
00
10
01
11
10
10
01
00
01
11
10
00
10
11
00
00
10
10
01
10
10
00
00
00
00
11
00
10
10
10
10
00
10
00
00
00
00
10
00
01
01
00
10
01
01
11
11
10
10
11
10
00
01
10
01
01
11
10
10
00
10
00
00
10
10
11
10
00
00
10
10
00
01
10
00
00
01
00
10
10
10
00
00
01
00
10
10
00
01
00
00
10
11
11
11
10
11
00
10
10
11
00
01
10
10
00
00
00
11
10
01
10
10
01
00
10
10
10
01
00
10
10
10
01
10
00
10
01
00
11
01
00
11
00
11
00
10
10
00
11
10
00
00
01
00
10
10
10
00
00
10
10
11
01
00
11
00
10
00
00
10
00
10
10
11
11
11
10
10
00
10
10
10
10
00
11
01
01
00
10
01
01
10
10
10
01
00
01
10
01
00
00
10
10
00
11
00
00
10
10
11
10
11
01
00
10
10
11
00
01
10
00
00
11
10
01
01
00
00
10
10
01
00
10
10
10
00
01
11
10
00
01
11
00
01
01
10
01
01
10
11
10
00
01
01
10
00
11
10
10
10
11
10
00
00
00
10
01
00
11
11
10
01
01
00
10
01
00
00
00
10
11
11
01
00
10
10
01
10
11
00
01
10
10
00
00
00
11
10
01
10
11
00
01
10
11
00
10
10
00
00
10
11
00
00
11
00
01
01
11
10
10
10
00
00
01
11
10
11
00
00
00
00
10
00
10
10
01
00
00
10
00
00
10
01
00
00
11
11
10
10
10
00
00
01
11
11
00
11
00
11
11
00
00
10
10
01
00
00
00
10
00
00
11
10
01
00
10
01
10
11
01
10
11
00
10
10
00
00
00
11
11
00
00
01
11
00
11
11
10
11
00
00
01
10
10
10
00
00
10
10
10
01
11
10
00
00
10
00
01
01
11
11
01
10
10
00
01
10
10
00
00
00
11
11
11
00
01
00
10
11
10
00
01
11
10
00
10
01
01
10
00
10
11
00
00
10
10
10
11
11
01
01
11
11
01
10
00
00
10
10
10
00
11
10
10
01
11
10
11
00
01
00
10
10
11
10
01
10
11
00
10
10
00
10
10
00
11
10
11
10
01
10
00
10
10
00
00
10
00
00
01
01
01
00
00
10
11
10
01
00
10
10
00
10
10
00
00
10
01
10
11
10
11
11
01
11
10
00
00
10
10
10
00
01
01
10
10
10
00
00
01
10
00
00
10
01
10
10
00
00
11
10
10
00
10
00
01
11
10
11
10
01
10
00
00
10
11
00
00
00
00
00
10
10
10
10
00
01
00
00
11
10
10
11
10
10
11
00
00
00
01
10
00
01
10
10
11
11
10
10
01
01
00
00
10
11
00
10
10
01
11
10
10
00
11
10
01
01
10
11
00
11
01
10
10
00
11
11
11
01
11
01
00
01
10
10
00
00
10
10
01
01
11
10
10
01
11
01
10
11
01
00
00
01
10
10
00
01
01
00
00
10
10
01
00
00
10
11
00
00
10
10
00
11
00
00
10
10
00
10
11
00
10
00
00
10
00
11
10
11
01
11
10
11
00
10
01
00
11
10
10
00
01
10
11
10
01
10
01
11
10
11
00
01
10
11
00
00
10
11
01
10
11
01
00
00
00
10
01
01
11
01
01
00
00
11
10
10
00
00
10
00
00
10
01
00
00
10
01
00
00
11
00
01
00
11
10
10
10
01
00
01
00
11
10
00
10
11
00
00
10
11
01
11
10
01
00
10
11
11
11
00
01
10
10
00
10
00
00
10
11
00
11
10
00
00
00
10
01
00
10
00
10
11
00
10
00
01
00
00
10
10
01
11
10
10
10
11
10
00
00
11
01
11
00
01
01
11
10
11
01
00
01
10
10
01
10
11
01
11
10
10
11
00
10
00
00
01
00
11
01
10
11
00
10
10
00
01
10
01
00
00
10
10
01
01
01
00
10
10
00
10
10
11
00
01
01
01
10
10
00
00
10
10
01
00
00
11
11
11
11
11
01
11
00
00
00
01
10
11
00
00
00
10
11
00
00
10
11
00
00
00
10
01
10
00
10
00
01
10
01
11
10
10
11
10
10
10
00
10
00
00
10
10
00
11
11
10
10
01
00
10
10
10
01
10
01
01
10
00
01
11
10
11
10
01
00
11
11
11
00
01
10
10
10
01
10
10
00
00
00
01
10
00
10
01
11
01
01
10
10
10
10
00
10
00
00
10
10
10
10
10
00
10
00
00
11
10
00
10
11
01
10
00
10
10
00
00
00
10
10
00
00
01
10
00
01
11
01
00
10
11
01
00
10
11
11
10
01
10
10
10
10
00
00
11
10
00
01
00
10
01
00
10
01
01
11
01
00
10
10
00
00
00
10
10
10
00
11
01
11
00
10
10
00
10
00
10
11
00
00
10
00
00
11
10
00
11
00
01
01
10
00
11
00
01
11
10
00
01
11
00
01
10
00
00
10
00
01
11
01
10
10
10
11
10
10
01
10
10
00
10
00
10
10
01
11
10
11
00
10
10
10
10
10
00
00
01
01
00
10
10
10
01
01
00
10
00
10
10
11
00
00
10
01
01
10
10
00
11
10
11
00
00
11
11
10
00
11
11
01
10
01
01
11
10
00
00
11
10
00
10
10
00
01
10
10
00
00
11
11
11
01
00
10
11
11
01
11
10
01
00
10
11
01
10
00
10
10
10
01
00
01
01
10
11
11
11
10
10
00
11
10
00
11
10
10
01
10
00
00
10
00
00
11
10
01
00
10
00
00
10
00
00
00
00
01
11
00
11
00
00
10
00
11
01
00
10
11
00
00
01
10
00
00
01
10
10
10
11
00
11
11
00
00
00
10
10
10
10
00
10
10
01
10
10
10
00
00
00
11
11
00
01
00
00
00
00
10
11
00
00
10
10
10
10
00
00
01
00
10
00
00
00
00
10
00
11
11
01
01
00
11
10
10
00
00
11
10
00
00
10
01
01
11
01
00
10
00
10
11
10
00
00
11
10
00
00
11
10
00
00
10
10
10
11
10
11
00
00
10
11
01
00
00
10
11
00
10
11
00
01
11
01
10
00
01
10
11
00
01
10
10
01
00
11
11
00
11
11
01
00
10
00
00
00
10
00
00
11
00
01
10
00
00
10
00
10
10
01
01
10
10
00
01
10
10
11
10
00
00
01
10
11
10
10
00
00
00
01
11
10
10
00
10
10
10
01
11
10
00
00
01
10
01
01
00
10
10
10
00
01
10
10
11
00
00
00
00
11
00
00
10
10
10
11
00
00
00
00
10
11
01
10
00
00
01
11
00
00
10
11
00
11
10
01
00
00
10
11
00
00
11
00
10
01
10
10
10
11
00
01
00
01
00
00
11
10
10
01
00
10
01
00
10
00
11
00
00
10
11
00
11
11
00
00
00
00
10
10
00
10
01
10
01
10
10
00
00
10
11
00
00
00
00
10
10
10
00
00
00
11
01
00
10
01
10
10
00
00
10
10
01
10
10
10
00
10
00
10
10
01
10
00
01
00
10
00
01
11
00
10
11
01
01
00
00
00
11
10
00
00
10
00
00
10
11
10
00
01
00
00
11
00
10
10
01
01
10
10
01
01
10
00
10
10
00
11
10
10
00
00
10
10
00
00
10
00
01
00
00
00
11
10
10
11
00
00
10
00
00
10
11
00
11
00
00
10
11
00
10
10
10
11
00
10
01
00
11
10
11
00
01
00
10
11
10
11
00
00
10
00
00
11
10
00
10
01
00
10
01
11
10
00
11
00
00
10
10
10
00
01
00
00
11
10
11
01
10
00
11
00
11
10
01
00
00
00
10
10
11
00
01
00
10
00
10
01
10
10
00
10
10
10
00
00
00
10
10
10
11
00
11
10
00
11
01
00
10
10
00
10
11
00
11
01
00
10
00
00
00
11
00
00
11
11
10
11
11
10
10
11
10
01
11
10
10
01
00
01
00
00
01
00
00
01
10
10
01
01
10
10
10
10
00
11
00
00
00
11
01
01
10
00
00
10
00
01
00
11
10
10
10
00
11
10
01
00
10
10
00
11
00
00
11
10
01
10
10
10
11
01
01
00
10
10
00
10
01
10
10
11
11
10
10
00
00
10
10
00
00
11
10
10
00
11
10
00
11
11
11
01
00
11
01
00
00
01
10
10
00
01
00
10
10
10
10
10
00
01
10
11
10
00
01
10
10
00
10
00
00
11
01
00
10
10
00
00
10
00
00
10
00
10
00
10
10
00
00
00
00
10
00
11
10
10
10
00
00
00
00
11
10
10
10
10
01
01
11
00
00
10
01
11
00
11
10
10
00
01
00
11
11
00
10
01
00
10
10
01
00
00
00
10
10
01
00
10
00
00
10
00
10
00
01
01
00
00
10
00
00
01
01
10
00
10
11
11
00
00
10
00
11
11
11
11
00
10
00
10
00
11
11
01
00
11
01
00
00
00
01
10
10
10
01
10
11
10
11
10
11
10
01
10
10
10
00
00
10
00
00
10
00
00
11
01
01
10
10
01
00
01
01
10
10
00
00
01
10
11
00
11
00
10
10
01
11
01
01
10
11
01
10
00
01
01
11
01
00
10
00
00
11
10
00
00
00
10
00
10
10
10
00
11
11
10
00
10
10
10
10
01
00
01
10
00
00
00
11
10
00
00
00
10
10
10
11
10
00
00
11
10
01
11
11
00
00
10
01
11
11
10
01
10
00
11
01
01
10
01
00
00
11
01
10
10
00
00
01
10
10
10
01
11
11
11
01
11
10
10
00
01
11
00
00
01
10
11
00
10
01
01
11
11
10
00
10
01
00
11
10
00
00
00
10
10
10
00
10
01
00
01
00
01
00
10
11
11
01
10
11
01
00
10
00
00
00
11
10
01
11
00
10
00
01
00
10
00
00
11
11
10
10
10
00
00
00
10
00
10
11
11
10
10
11
10
01
01
11
01
10
10
01
11
10
00
00
11
10
10
10
11
01
10
10
01
00
10
00
01
10
10
01
11
10
00
11
00
10
10
01
11
00
01
11
11
11
11
00
00
11
10
10
00
01
01
10
00
10
11
10
10
01
00
00
10
11
10
10
01
00
10
10
10
01
10
00
10
00
00
11
01
01
11
11
00
10
11
01
10
11
01
00
10
00
00
00
01
11
11
01
11
10
01
00
00
01
11
10
10
00
00
01
11
10
11
00
00
00
00
10
10
01
01
00
00
10
10
01
00
01
10
10
00
00
00
11
00
01
00
10
01
11
00
00
01
10
11
01
10
00
00
10
11
10
00
00
10
10
01
10
00
00
11
10
10
10
11
10
10
00
11
00
00
11
10
11
00
01
00
00
00
10
00
00
11
10
10
00
11
00
00
10
10
10
00
00
10
10
01
00
00
11
00
11
10
01
10
11
01
00
00
01
01
10
00
10
10
10
00
10
10
00
10
01
01
11
01
10
11
01
00
00
11
11
00
00
00
10
11
00
11
00
11
00
10
10
00
01
10
11
00
01
10
00
10
10
01
00
10
10
00
11
10
00
00
10
10
10
11
00
00
00
10
10
10
00
00
11
01
10
00
10
00
10
11
11
00
00
10
11
00
00
10
00
00
00
01
00
00
10
11
00
00
00
10
10
00
00
01
10
01
01
10
01
10
00
00
10
10
10
11
00
01
11
10
00
00
01
01
10
10
11
11
00
10
10
00
11
00
00
10
01
00
11
01
01
10
11
11
01
01
01
11
11
10
01
00
10
10
00
01
00
10
10
11
00
10
10
10
11
00
00
11
10
11
01
10
11
10
00
00
00
11
10
01
00
10
01
11
10
00
11
10
10
10
10
01
00
00
01
10
11
00
00
10
10
10
10
00
00
10
10
00
10
11
00
00
00
00
11
10
01
11
00
10
01
00
01
10
11
00
00
00
00
00
10
00
00
10
10
11
01
11
01
01
01
10
00
00
11
10
11
00
00
00
11
00
00
01
11
10
00
10
10
00
10
11
00
10
00
00
01
01
10
01
10
01
00
00
10
10
00
01
10
10
10
10
01
11
00
01
10
10
10
01
01
01
01
10
00
01
11
11
11
10
00
10
01
01
10
10
10
11
10
00
00
01
00
10
10
01
11
00
00
11
11
00
00
10
11
01
00
10
00
01
10
01
00
10
00
00
10
10
10
00
00
10
10
10
00
11
10
10
00
00
11
00
11
10
10
11
11
00
00
00
11
11
00
10
00
10
10
01
11
00
10
01
11
01
01
10
00
00
10
00
00
10
10
10
10
10
10
00
10
10
11
00
00
01
00
01
00
10
10
00
00
10
00
00
11
10
00
00
11
00
00
01
01
00
11
01
00
10
01
00
01
10
11
10
11
10
01
00
10
01
00
00
10
01
01
11
10
00
11
10
00
00
01
11
01
00
11
01
10
00
11
00
01
00
10
11
00
10
00
11
10
00
11
10
00
01
00
00
00
10
10
10
01
00
10
00
11
11
00
00
10
00
01
01
00
11
10
10
00
10
10
01
10
11
11
00
10
10
00
10
11
11
11
10
00
11
10
11
00
01
10
01
01
10
10
01
00
11
11
01
00
10
11
11
10
00
00
10
00
10
10
01
10
10
01
10
11
00
10
10
01
10
10
10
00
00
10
11
00
00
10
10
10
11
10
00
01
10
00
10
10
10
00
10
10
00
01
10
00
10
00
00
10
00
00
11
11
00
00
00
10
10
11
10
01
00
10
00
00
00
10
10
01
10
11
00
11
11
01
01
10
01
00
10
00
10
10
00
01
00
10
10
10
10
10
10
00
00
11
11
10
00
11
11
10
01
10
11
00
01
10
11
11
00
10
10
01
10
00
00
00
01
10
11
11
01
10
01
00
10
01
00
00
11
01
10
00
10
10
00
00
10
11
00
10
10
10
11
01
10
00
10
00
11
10
00
10
00
11
10
10
10
00
01
10
10
01
11
10
00
00
00
10
11
00
00
00
11
00
10
11
00
10
00
00
10
11
01
01
10
10
10
00
10
00
00
10
10
01
10
00
00
10
01
00
00
10
00
00
11
11
00
10
00
10
10
00
00
11
00
00
00
00
10
11
11
00
00
10
00
00
11
10
01
00
10
00
11
10
11
10
01
00
10
00
10
00
01
10
01
00
11
10
10
10
00
00
10
10
01
10
11
10
00
00
11
01
00
10
11
00
01
00
11
10
00
00
10
10
01
10
10
11
11
00
11
01
00
01
11
00
00
01
11
00
00
11
10
00
01
10
11
01
00
00
01
01
01
11
10
10
10
01
11
00
10
10
11
01
10
00
01
10
10
11
10
01
11
11
00
01
10
10
00
10
10
00
00
11
11
11
00
01
10
00
10
11
10
00
00
10
10
00
00
00
00
01
00
10
11
10
00
01
00
00
00
11
11
01
00
00
10
11
00
00
10
11
01
00
00
00
00
11
10
11
10
11
00
10
11
10
01
00
10
11
10
00
00
00
10
01
10
00
00
10
10
10
01
11
00
00
10
01
00
00
00
11
10
10
10
00
11
00
11
10
00
11
10
00
00
01
00
00
11
10
10
10
10
00
10
10
00
01
01
10
00
00
11
00
00
10
01
01
10
10
00
10
10
10
01
00
00
10
10
10
10
10
01
01
01
10
10
10
11
00
00
10
11
10
11
01
00
11
10
10
10
10
00
10
11
00
00
10
10
00
00
10
10
11
00
00
00
10
10
00
01
11
10
11
00
10
00
11
10
10
00
00
10
00
10
00
00
11
00
11
10
10
10
00
00
11
01
00
00
01
10
11
10
10
10
01
00
00
10
10
11
10
00
00
00
10
00
00
10
11
00
01
10
00
11
00
10
01
00
10
00
10
10
11
11
00
00
00
01
00
11
10
10
11
10
01
10
00
00
10
00
10
10
10
10
10
11
00
01
01
10
10
11
10
00
00
11
11
10
10
01
00
01
10
10
01
01
10
00
00
10
11
10
11
11
11
01
01
01
00
11
10
00
10
00
00
10
10
10
00
10
10
10
01
00
10
10
10
01
10
10
10
10
10
01
11
00
10
11
00
11
01
11
10
10
01
10
11
00
01
10
11
01
01
11
00
10
01
10
10
01
00
11
00
10
00
11
11
00
01
10
10
01
01
10
10
10
00
10
00
00
11
01
11
01
00
01
00
10
01
00
11
10
11
00
01
00
00
10
11
11
00
10
11
00
10
01
00
01
10
01
00
11
10
10
10
11
11
00
11
11
01
10
10
00
10
00
10
00
00
10
10
00
10
00
00
00
10
00
10
01
01
00
00
11
11
10
00
11
10
00
11
10
00
11
00
01
11
10
00
11
10
11
11
00
11
00
00
11
00
10
00
00
10
10
10
00
11
00
01
10
10
00
01
10
10
10
00
10
01
00
10
10
00
11
00
01
00
00
01
10
10
00
01
00
10
10
10
10
00
01
00
00
10
00
00
01
10
10
00
10
11
10
00
00
01
10
00
10
10
00
00
01
11
00
10
11
10
01
00
11
00
11
00
00
11
01
01
00
01
11
10
00
11
00
01
00
10
00
01
10
11
00
00
00
10
00
10
00
10
11
00
00
00
10
01
00
10
00
11
01
10
10
00
10
10
00
00
10
10
10
00
01
00
00
01
10
00
10
01
11
10
01
00
10
11
00
01
10
10
10
11
00
01
00
10
00
00
01
11
10
00
11
10
10
10
10
00
11
10
00
11
01
10
00
10
10
11
00
00
10
10
00
00
00
00
10
11
00
00
10
10
00
10
10
11
10
11
00
11
01
11
10
11
10
01
10
00
01
11
11
01
01
10
10
01
00
11
00
00
10
01
11
01
00
10
11
10
11
10
00
00
01
01
01
00
10
11
10
01
10
11
00
11
01
01
11
00
10
11
00
11
00
00
10
00
00
10
00
00
10
10
00
00
01
10
10
10
00
00
00
11
10
00
10
10
00
10
00
10
10
11
01
10
00
10
10
01
11
00
10
11
10
00
01
11
01
00
10
11
01
10
01
00
10
10
10
01
01
00
11
10
00
01
01
01
11
10
00
10
00
10
01
10
11
00
00
10
00
01
00
10
10
00
00
10
00
10
00
01
00
00
11
10
11
00
10
00
10
11
10
10
00
10
10
11
01
00
00
10
00
00
11
11
01
01
11
10
10
10
10
10
00
00
10
11
00
10
10
10
00
01
10
01
01
00
00
00
11
01
11
11
00
00
10
10
10
10
00
01
10
10
00
00
11
11
00
10
11
11
01
11
00
10
00
00
00
00
11
01
10
10
00
00
00
10
10
00
01
10
00
00
00
00
10
01
10
01
00
01
10
00
00
00
00
10
10
00
00
10
11
00
10
11
01
11
01
11
00
11
10
01
00
01
10
00
01
00
10
01
00
10
11
10
00
11
01
00
10
10
01
10
10
01
00
00
00
10
10
01
01
10
00
00
10
00
00
00
10
11
11
00
10
11
10
00
01
11
10
11
10
00
00
11
11
11
10
00
00
10
00
10
01
01
10
00
11
00
10
00
10
00
00
11
10
00
11
10
11
01
00
10
00
00
11
00
10
11
00
10
01
10
00
10
10
00
01
10
11
00
10
10
11
11
00
10
10
01
00
00
00
01
11
10
00
00
00
11
10
01
10
00
00
10
10
00
01
10
01
11
11
01
01
10
10
10
10
01
11
11
01
10
10
00
10
00
01
01
11
10
11
00
01
11
10
10
10
10
00
10
10
00
00
01
00
10
00
01
10
10
11
10
01
01
11
01
10
11
00
01
10
01
10
10
00
00
00
10
10
00
10
00
01
11
10
01
10
10
00
00
01
10
10
00
10
00
11
00
10
11
10
00
01
00
10
11
00
00
10
10
01
01
00
10
00
11
00
01
00
10
11
00
10
10
01
00
00
00
10
11
00
00
11
11
00
00
10
11
01
10
01
00
00
11
10
10
10
01
00
11
00
00
10
00
01
00
00
10
10
01
10
11
01
11
10
00
10
11
11
01
10
10
11
00
10
01
00
10
10
10
00
00
10
10
00
00
10
01
00
11
11
00
11
10
10
00
10
11
00
00
00
00
10
10
10
10
10
10
01
01
01
11
01
11
10
00
00
11
01
10
00
01
11
10
00
10
11
01
00
10
10
11
00
00
01
11
10
01
00
10
10
00
00
10
10
01
00
10
11
00
10
00
00
00
00
01
00
00
00
10
10
11
10
00
01
10
10
10
11
00
00
10
10
11
01
01
11
00
00
00
10
01
00
10
10
00
10
10
01
10
10
00
00
10
11
10
00
00
00
01
00
11
11
10
10
00
10
01
01
01
10
10
00
11
00
00
11
10
00
10
00
00
10
10
00
00
10
00
10
10
01
10
11
01
10
00
10
01
10
00
01
10
10
11
00
00
00
01
10
00
01
11
01
01
10
00
11
10
11
01
01
10
10
11
10
00
10
01
00
10
11
00
10
10
00
11
10
10
00
11
00
00
00
10
01
11
00
00
10
10
10
00
00
10
00
00
10
11
00
00
11
01
01
00
11
00
10
10
01
10
00
00
00
10
10
01
01
01
10
11
10
00
00
10
00
01
10
11
00
00
10
00
11
00
11
00
10
10
10
00
10
00
10
00
00
00
00
00
10
10
10
00
00
01
10
00
00
00
11
10
00
00
11
11
11
10
00
00
00
11
00
00
11
00
00
10
00
10
11
00
00
00
01
10
11
11
01
01
11
10
01
00
11
11
00
00
10
10
11
00
01
11
00
10
10
01
01
00
00
01
10
10
10
10
10
01
00
10
00
01
00
01
00
01
11
01
10
10
00
10
11
11
11
01
00
00
00
11
10
10
00
11
10
11
10
00
10
10
10
10
01
00
01
10
10
00
01
11
01
01
00
10
10
00
01
01
11
10
11
11
10
10
00
01
10
01
00
11
10
00
10
01
10
10
00
00
00
00
01
10
01
10
10
01
00
01
10
00
00
10
10
00
00
11
10
01
00
00
00
00
10
00
11
11
10
00
10
10
00
00
01
00
10
11
00
10
00
00
10
00
10
00
00
10
00
11
11
01
00
10
01
00
01
00
10
00
00
11
11
00
01
10
10
00
00
00
01
00
11
11
00
01
01
10
11
10
00
10
11
00
00
10
10
01
00
10
11
11
00
00
11
00
01
00
10
01
00
00
00
10
10
00
10
10
00
11
10
00
00
10
10
00
00
00
11
10
00
00
01
00
11
10
10
00
11
00
00
10
00
10
11
10
00
00
10
10
00
11
11
00
10
11
10
00
11
00
00
00
00
10
10
00
00
10
01
00
00
00
11
10
00
10
00
11
00
10
11
10
00
01
01
10
10
10
00
00
10
10
01
00
01
01
10
11
01
11
11
01
01
01
11
10
00
00
10
00
10
11
01
00
01
10
11
11
11
00
00
01
11
00
01
01
10
00
11
00
10
11
00
10
11
10
01
00
00
01
01
00
11
10
10
00
00
10
10
10
01
00
10
11
01
00
10
00
10
10
11
01
10
11
01
00
00
10
11
00
00
10
00
00
00
00
10
10
10
11
00
00
01
00
01
10
00
10
00
00
11
11
01
00
10
10
10
10
00
01
10
00
10
01
01
10
00
10
10
01
01
00
11
01
11
10
10
01
10
10
01
00
10
00
00
10
00
00
01
11
00
00
01
01
00
00
10
11
10
10
01
10
11
11
11
00
10
11
01
11
11
01
00
01
10
00
10
10
10
00
00
10
10
11
10
00
11
00
00
00
00
10
00
10
10
00
10
01
10
10
01
10
10
10
11
01
11
11
00
00
00
00
00
01
10
10
10
00
10
10
00
01
11
11
10
11
10
01
00
11
10
00
01
11
00
11
10
00
00
11
01
10
01
01
00
01
01
00
10
00
00
11
10
10
01
01
11
10
10
01
00
11
00
00
10
10
11
00
01
10
10
10
00
00
00
00
10
00
10
01
10
00
01
10
00
00
00
10
10
01
10
01
00
10
00
10
00
00
10
00
00
00
01
11
11
11
11
01
01
11
11
00
01
00
10
10
01
11
10
11
01
00
01
00
10
11
11
11
00
11
10
10
01
00
11
11
00
01
10
11
00
11
00
00
00
00
10
10
11
11
10
00
00
01
00
10
11
00
00
10
10
10
00
10
00
10
11
10
10
00
01
10
10
01
00
00
00
01
10
01
00
11
10
11
11
10
01
01
01
10
11
01
01
10
10
00
01
10
10
11
00
01
01
00
11
11
10
10
10
01
00
00
10
10
10
00
11
10
10
00
01
00
11
00
00
00
00
10
10
00
01
00
10
11
10
11
11
11
01
00
11
10
11
01
01
01
10
11
00
01
00
00
10
11
00
01
10
10
01
01
01
10
10
01
00
11
11
10
00
00
10
11
11
00
00
01
00
00
01
10
10
00
00
01
10
00
10
11
01
10
01
00
00
10
01
10
10
10
00
00
01
00
11
00
00
01
10
10
00
01
11
01
10
10
11
00
00
11
10
00
11
10
10
01
01
10
00
01
00
00
00
10
11
00
00
00
11
00
10
00
00
00
00
10
00
00
01
11
00
00
10
11
00
11
10
01
00
00
00
00
01
10
10
10
00
00
00
01
11
10
00
10
01
10
00
00
01
00
10
01
10
10
10
01
10
01
11
10
10
10
11
01
10
11
10
00
01
10
11
10
01
01
01
01
10
00
11
00
01
10
10
00
00
00
00
11
10
10
00
00
10
00
00
10
01
01
01
00
10
10
00
11
00
10
00
00
01
10
00
10
01
00
00
00
00
00
10
10
11
10
01
11
10
01
11
11
01
10
00
00
01
10
11
00
01
00
10
11
00
00
10
10
00
11
10
01
00
10
00
01
11
00
11
10
00
01
00
01
11
00
01
01
01
10
10
01
00
01
10
10
00
10
10
00
00
10
00
00
11
10
00
11
11
00
11
11
10
01
00
00
11
10
00
10
00
10
00
01
11
00
01
00
10
10
10
01
00
10
10
01
00
01
10
10
01
00
11
01
10
01
00
10
11
00
01
10
11
00
00
00
10
01
00
11
00
11
10
00
11
11
11
00
11
11
11
11
01
00
11
10
00
10
10
00
00
10
10
10
10
11
00
00
10
11
00
00
11
00
10
01
10
01
10
01
00
00
10
10
11
00
00
11
11
10
01
10
01
00
10
10
00
00
10
10
00
00
01
10
10
10
10
00
00
11
10
00
00
00
00
00
00
10
00
11
10
10
10
10
01
10
11
01
01
10
10
11
01
10
10
00
10
00
10
10
00
11
01
01
10
10
00
01
10
10
10
00
01
10
01
10
11
10
10
11
00
00
00
00
10
10
10
00
00
00
10
01
00
11
00
10
01
10
01
00
10
10
00
01
10
10
10
00
10
10
10
10
00
10
00
11
11
00
00
00
10
00
10
10
10
00
00
11
10
00
00
10
01
10
11
00
11
10
00
10
10
10
00
00
11
10
10
10
01
01
10
00
01
10
00
10
11
10
11
00
11
00
10
10
01
01
00
00
10
11
00
01
00
10
01
00
11
01
10
10
10
01
00
11
10
10
01
00
01
11
10
01
10
11
00
10
11
11
10
00
00
11
11
10
00
00
00
10
10
11
00
00
10
01
11
11
00
00
10
01
00
10
10
00
00
10
10
00
10
11
10
01
00
11
00
00
11
00
11
01
10
10
10
00
00
10
10
10
10
10
01
10
11
00
01
00
11
10
01
10
10
10
00
00
10
10
11
10
00
10
11
00
00
00
11
00
10
01
10
10
11
11
00
00
01
00
00
11
01
11
11
10
00
01
10
11
00
01
11
00
11
10
00
10
10
00
00
11
10
10
10
01
10
01
00
10
00
01
10
00
00
00
11
00
11
10
00
11
00
10
11
01
01
10
10
01
10
10
00
00
01
11
10
01
10
10
00
01
00
10
00
10
11
01
01
01
10
01
00
10
10
00
10
10
10
01
10
00
01
10
10
10
10
01
01
10
10
11
01
10
10
01
00
10
00
00
11
01
00
10
11
01
01
00
11
00
00
00
11
10
01
00
10
00
01
01
00
01
00
00
10
00
10
10
00
00
01
10
10
11
00
11
10
10
00
00
01
00
10
10
10
10
11
11
11
00
10
00
00
10
00
01
01
11
11
00
00
00
10
00
00
10
01
01
01
10
01
10
01
10
00
10
11
10
00
11
11
01
00
11
10
10
11
10
11
00
00
00
11
00
00
10
10
10
00
01
01
10
01
10
01
10
10
01
00
00
00
00
11
10
00
00
00
10
10
01
00
11
10
00
10
01
00
10
10
00
00
01
00
00
11
00
00
00
00
11
00
11
01
10
11
11
11
10
00
11
00
01
10
00
01
10
00
00
10
11
00
10
00
01
00
01
10
11
10
01
00
00
00
11
01
01
00
10
01
00
00
00
00
10
10
00
00
10
11
00
10
11
00
11
10
01
10
00
01
10
00
01
00
10
00
11
11
00
10
00
10
11
10
01
01
10
10
10
00
01
10
10
10
00
00
10
10
11
00
11
00
10
00
10
00
10
00
10
11
10
01
10
10
00
00
01
10
10
00
00
00
11
01
00
10
11
10
01
11
10
00
00
10
00
01
10
10
00
00
11
10
11
00
01
11
11
01
00
10
10
11
10
00
00
10
00
11
01
00
00
00
10
00
01
10
10
01
10
10
01
10
00
00
01
10
01
01
11
00
01
00
00
00
11
10
11
01
00
00
10
01
00
10
11
00
01
10
01
11
00
00
00
00
10
10
00
00
00
10
01
11
10
00
10
10
00
00
00
10
01
00
11
00
11
01
10
00
00
00
11
10
10
00
01
10
01
00
11
11
10
00
11
00
11
00
01
10
00
01
10
10
10
00
00
00
10
00
01
10
01
10
10
00
00
00
10
01
00
10
10
10
11
00
01
11
10
10
00
00
10
10
11
00
01
00
00
10
11
00
11
10
01
00
10
01
11
10
01
00
10
01
00
00
10
00
00
00
10
10
10
00
00
10
01
11
10
00
10
00
00
10
10
00
00
10
00
00
00
11
11
00
10
10
01
10
00
01
11
00
10
11
01
11
10
10
00
01
00
10
01
01
01
10
10
00
11
00
00
01
11
10
01
10
01
10
10
11
10
11
00
01
00
00
11
00
10
10
00
00
10
01
00
00
10
00
10
10
00
10
11
00
00
10
00
11
10
00
11
01
00
11
11
00
10
10
00
00
00
00
11
00
11
01
11
01
01
00
00
00
00
10
11
10
00
01
11
01
01
10
01
11
10
10
01
01
10
10
00
00
00
10
11
10
01
00
10
00
10
01
00
00
10
01
00
01
10
00
11
11
01
01
11
10
11
01
10
00
01
11
11
00
00
10
11
10
00
01
10
01
10
10
00
00
00
01
11
11
01
00
11
11
00
00
00
10
11
00
01
11
00
01
00
00
11
11
00
00
10
00
10
00
01
00
11
10
01
10
00
00
01
11
00
00
10
10
10
00
00
00
10
11
10
11
11
00
01
00
10
00
11
10
00
10
10
10
11
01
11
00
01
00
11
00
11
10
01
10
11
00
01
00
10
10
10
10
01
01
10
10
00
10
01
00
11
10
00
10
00
10
01
10
10
01
10
10
10
10
00
11
01
01
10
00
00
11
01
10
10
10
00
10
00
11
10
00
00
11
11
10
00
10
10
10
10
01
00
00
11
10
00
11
10
00
10
10
01
00
01
10
10
00
00
10
01
10
10
00
10
00
00
11
11
00
00
00
10
10
00
11
10
10
00
11
00
01
10
01
00
00
10
10
00
10
11
00
11
10
10
10
00
10
01
10
11
00
11
01
10
10
00
01
10
01
10
10
00
01
00
10
01
10
10
01
10
11
10
11
00
00
11
10
10
01
01
10
01
11
11
00
00
01
10
10
00
00
10
00
01
10
01
00
10
00
10
00
00
11
11
11
01
01
11
10
01
01
10
10
01
10
10
10
00
01
00
00
00
00
11
01
10
01
10
10
11
00
11
00
10
10
00
11
10
10
00
01
00
00
11
10
11
00
10
00
01
11
11
11
00
10
01
00
00
00
10
10
10
01
10
01
00
11
00
00
10
01
00
11
00
10
10
10
00
00
00
10
01
00
00
00
00
10
10
10
10
00
01
10
00
00
10
00
00
10
00
00
11
10
00
11
10
00
00
01
01
00
11
10
00
01
00
00
10
00
00
10
00
00
10
01
10
11
11
10
00
10
01
10
10
00
00
11
00
11
11
11
00
11
01
10
11
00
10
10
11
10
01
00
00
00
10
01
10
10
10
00
00
00
11
10
10
11
01
10
00
10
11
00
10
00
00
10
11
00
11
00
00
11
00
10
11
10
01
11
11
01
11
10
10
11
10
00
10
10
01
10
11
00
11
10
01
01
10
01
00
10
01
10
11
10
00
01
01
00
00
00
01
10
11
11
01
00
00
10
10
10
00
00
10
00
00
11
00
10
10
11
10
10
01
01
11
10
00
00
00
10
11
10
00
01
10
10
00
01
00
10
01
00
10
10
10
10
01
00
10
10
00
10
11
10
00
00
00
00
11
10
00
11
01
00
11
00
00
10
11
00
10
01
10
11
00
00
00
10
10
10
00
00
10
11
10
00
00
01
00
01
11
00
11
11
11
00
01
10
11
01
00
10
00
00
00
00
10
10
00
00
10
01
11
11
10
10
00
00
00
00
01
10
11
01
10
10
00
00
10
11
00
00
10
01
00
10
00
11
11
01
11
10
11
10
10
00
11
00
00
11
10
10
00
11
00
00
11
10
00
00
01
00
10
11
10
00
10
01
11
11
00
00
11
10
11
00
10
11
00
11
00
11
10
01
01
00
11
10
00
01
10
01
00
10
10
00
01
11
00
00
10
10
00
01
00
10
00
11
11
01
10
10
11
00
10
10
10
01
10
01
00
11
11
00
10
00
10
10
00
00
01
00
11
10
00
10
10
10
10
00
00
10
10
01
00
10
01
10
10
11
00
11
01
11
01
10
00
00
00
01
00
11
10
00
10
01
10
10
00
00
10
10
00
00
10
01
00
10
10
00
11
01
00
00
00
10
01
00
10
01
11
11
00
10
10
00
00
01
01
11
11
11
10
00
01
11
10
00
01
11
00
10
00
01
10
10
10
00
01
10
01
00
00
00
10
10
00
00
10
00
00
00
10
00
11
11
00
10
10
00
01
00
11
11
01
00
01
10
10
00
00
10
11
01
00
01
00
00
11
10
00
00
01
01
01
10
00
10
10
01
00
10
10
10
00
00
11
10
00
00
11
01
11
10
11
00
00
10
10
00
00
11
01
00
01
11
10
01
00
00
10
10
00
10
00
01
10
11
10
11
10
11
00
10
10
00
10
11
01
00
01
00
11
01
00
10
10
00
10
11
00
00
00
00
00
11
11
00
00
00
00
11
00
10
11
10
10
10
10
10
01
01
00
00
00
00
10
11
01
00
11
10
11
01
00
11
00
00
10
11
10
10
00
00
00
10
11
11
10
11
10
10
10
10
00
10
00
00
10
10
10
00
00
00
11
10
10
11
11
01
01
10
01
00
00
00
11
10
00
00
11
00
01
01
10
00
00
00
01
00
00
00
10
11
00
11
11
00
00
00
10
10
00
00
10
00
00
00
01
00
11
01
00
10
01
00
11
10
00
00
00
11
00
10
10
10
00
10
11
00
01
00
11
00
00
00
11
00
00
10
10
10
10
11
00
10
11
00
01
00
01
01
00
10
00
00
10
01
11
01
00
10
10
00
00
10
10
01
01
01
00
01
11
00
10
10
01
10
11
00
01
10
10
01
11
00
01
11
10
11
10
01
11
10
00
00
10
10
00
10
10
00
10
00
00
10
01
00
10
11
10
00
11
00
00
10
10
10
10
01
01
10
00
00
01
00
11
10
01
00
00
10
10
01
00
11
10
01
00
00
00
10
10
00
10
10
10
11
00
00
00
00
11
10
01
11
10
01
00
00
01
01
10
01
10
10
11
11
00
00
00
10
01
11
00
11
01
00
00
00
10
11
01
00
11
10
01
10
00
10
11
01
11
11
00
01
11
00
01
10
10
10
00
00
00
10
10
00
01
00
00
01
11
11
10
11
00
10
10
01
10
10
00
00
00
11
10
10
00
00
01
01
00
10
01
00
11
10
10
00
10
10
00
00
10
10
11
01
00
01
00
11
00
11
00
11
11
00
00
10
00
00
11
10
00
11
11
11
11
00
00
10
01
00
00
11
00
00
10
11
11
00
00
11
00
10
00
00
10
10
01
11
01
10
11
00
10
10
10
01
00
10
10
10
10
00
10
00
10
10
01
00
00
00
10
10
00
10
11
00
01
10
10
10
00
11
01
00
11
11
10
11
10
01
11
10
00
00
11
10
11
01
01
10
10
01
00
10
10
00
00
11
00
01
10
11
00
00
10
10
00
00
10
10
00
10
10
11
10
10
00
10
00
01
00
00
00
11
00
00
10
10
01
11
01
00
11
00
11
00
00
11
10
00
00
11
10
10
00
10
10
11
00
01
10
11
10
00
00
00
11
11
10
01
00
11
10
01
10
10
01
01
10
10
11
01
10
10
00
11
11
11
01
00
10
00
00
10
01
10
11
00
00
00
01
11
11
00
00
00
11
00
10
00
10
10
01
00
00
01
01
00
01
10
10
11
10
00
01
10
11
01
01
11
10
00
11
10
00
10
10
00
10
00
10
11
10
10
00
00
00
00
10
11
00
00
11
10
10
11
10
10
00
00
10
10
00
01
11
01
01
01
01
10
11
00
11
11
00
00
10
11
01
00
10
10
10
10
00
00
01
11
10
11
00
10
00
01
10
11
01
00
00
00
11
00
01
10
10
00
10
01
00
00
00
10
10
11
10
10
00
10
00
11
10
00
00
00
00
10
01
10
00
11
01
00
10
11
00
01
00
00
10
00
01
11
10
10
01
00
11
10
00
01
00
00
00
00
10
11
00
11
01
11
01
11
11
00
11
10
01
01
11
10
00
01
11
10
11
11
00
00
10
00
11
01
00
11
10
00
00
11
01
01
11
10
10
00
10
00
00
11
01
11
11
00
00
10
00
00
10
10
00
00
11
00
01
01
00
10
11
10
00
01
10
01
01
00
10
00
00
00
11
10
00
01
11
01
00
01
10
11
00
11
11
01
00
11
00
11
01
11
10
00
01
10
11
00
01
10
10
00
10
11
11
11
01
10
10
10
00
11
10
00
00
11
10
10
00
00
00
10
10
01
01
10
10
00
11
11
10
00
00
00
10
11
00
00
11
10
10
10
10
10
00
10
10
00
10
10
01
00
10
00
00
10
00
01
00
10
00
00
11
00
00
00
10
00
01
00
00
00
10
10
10
10
01
10
11
00
01
10
10
10
11
01
00
00
00
11
00
00
10
01
10
11
00
11
10
10
00
01
00
10
10
00
10
11
11
01
11
01
10
00
00
10
01
00
10
10
10
00
00
00
10
00
00
10
00
10
10
10
00
10
10
01
11
11
01
10
10
00
10
01
00
10
11
00
00
10
00
10
00
00
10
00
00
01
00
01
10
10
11
10
01
01
01
10
10
00
10
10
00
01
11
10
00
00
10
11
10
10
10
10
01
01
01
10
11
00
10
00
10
01
00
00
01
10
00
11
10
00
10
00
01
10
11
11
10
00
01
00
00
00
10
11
00
11
00
10
10
01
00
11
11
00
10
01
11
10
10
00
10
01
10
00
11
00
11
11
10
11
11
01
00
01
10
11
10
10
01
01
01
01
10
11
00
00
00
11
10
01
10
10
10
00
10
11
10
00
10
01
00
10
11
00
11
10
00
11
01
00
00
00
00
01
10
11
10
10
11
01
00
01
00
10
00
00
00
01
10
10
00
01
00
01
11
00
10
10
10
01
10
11
10
00
10
00
00
10
00
00
10
10
11
10
10
00
00
10
11
11
10
10
01
11
01
10
00
01
10
01
00
10
10
00
11
11
10
01
11
00
10
00
01
10
10
01
00
10
00
11
01
11
00
11
10
10
00
10
10
01
00
11
00
00
01
00
00
11
01
00
11
10
10
00
00
10
00
10
10
10
00
11
01
01
00
10
11
10
10
00
01
10
11
10
00
00
10
10
10
00
00
10
10
10
01
10
10
00
10
11
01
00
11
01
01
10
00
00
11
11
00
01
10
11
11
00
00
01
10
10
01
10
10
00
00
11
11
10
11
00
10
01
10
10
10
10
01
00
01
10
00
01
11
00
00
10
10
00
00
10
10
00
00
10
01
01
10
00
00
10
10
01
11
00
01
10
00
00
01
00
01
10
10
11
10
00
10
00
00
10
00
00
00
10
01
00
01
00
11
10
01
00
10
10
00
00
11
10
00
00
00
00
01
00
10
00
01
11
10
11
00
00
00
01
11
10
11
10
10
10
10
00
10
10
00
00
00
10
11
10
00
11
10
10
11
01
01
00
01
10
00
10
10
01
00
01
10
11
10
10
00
00
10
10
00
10
10
01
10
00
11
00
10
11
00
00
00
10
00
10
11
10
01
01
11
00
01
01
11
10
10
10
01
00
00
11
00
00
00
00
10
10
10
10
01
00
00
11
00
00
01
11
00
01
10
00
00
10
00
00
01
11
10
11
00
00
01
00
00
11
10
10
10
10
00
00
10
00
01
00
10
00
10
00
00
00
00
01
01
00
10
11
10
11
00
00
10
00
00
10
10
10
01
10
00
00
01
01
10
10
00
01
00
00
11
10
00
00
11
11
11
11
00
11
10
10
11
00
01
01
00
00
10
10
00
01
11
11
10
10
10
01
11
10
00
00
10
00
10
10
00
01
10
00
11
10
10
10
01
00
10
01
10
01
00
00
10
10
10
10
00
00
10
10
11
01
00
00
11
00
00
00
10
11
10
00
11
10
10
10
00
00
00
01
10
01
10
01
11
00
00
01
00
10
01
00
00
10
00
11
00
11
11
10
00
11
11
10
10
00
00
00
10
01
01
11
10
10
11
11
00
11
01
00
11
10
10
10
00
00
00
01
00
10
11
10
10
11
10
11
00
00
01
01
10
00
11
10
10
00
00
00
01
00
00
10
10
00
10
00
01
11
01
01
00
01
10
00
00
00
10
10
10
00
00
10
11
00
01
10
10
11
10
00
11
00
01
01
11
10
10
00
10
10
01
01
11
00
10
10
10
00
01
10
10
11
00
11
00
10
00
11
01
00
01
11
00
01
01
10
00
01
01
11
11
01
10
00
10
11
11
00
00
10
11
00
11
00
10
10
00
01
01
01
00
00
00
00
10
00
01
10
11
00
00
10
00
11
10
10
01
00
00
10
01
01
01
10
10
00
01
01
00
10
10
01
11
00
01
00
01
11
00
10
10
00
10
10
10
01
10
10
00
00
00
10
11
00
01
11
01
00
01
00
10
00
00
11
11
01
00
00
11
10
01
11
01
11
01
00
00
10
10
10
00
00
10
00
00
10
01
11
10
10
00
11
00
10
00
01
10
11
00
00
00
00
01
10
00
10
11
00
00
11
10
01
10
00
00
00
00
00
00
11
10
00
00
10
00
11
01
00
10
11
00
00
00
00
10
10
00
10
11
00
11
01
10
00
01
00
00
10
10
00
10
11
10
00
00
10
00
10
10
00
10
00
00
01
00
10
00
10
00
10
10
01
11
10
10
10
10
00
01
11
01
01
10
01
10
10
10
10
01
01
00
10
01
00
10
11
00
01
10
00
01
10
00
10
10
01
00
00
11
00
01
00
00
11
00
00
10
10
00
10
01
01
00
10
00
01
00
10
11
11
01
00
00
11
01
00
11
01
10
10
00
10
10
00
11
10
11
01
10
00
10
00
10
11
00
00
00
11
10
00
11
11
01
01
10
10
10
00
00
11
01
10
10
00
00
00
10
10
00
00
11
10
01
00
11
10
10
10
01
00
10
00
00
10
10
01
00
11
00
10
10
10
01
11
00
00
01
10
00
00
10
11
00
10
11
00
00
00
00
00
01
00
11
10
00
10
00
10
01
00
00
11
10
01
01
10
10
00
10
01
11
11
00
00
01
10
00
10
10
00
00
10
10
10
00
11
10
00
10
01
10
10
11
10
01
10
11
11
00
00
10
01
01
00
11
11
00
00
01
10
00
10
00
00
00
10
11
01
11
00
00
00
11
10
00
10
10
00
01
10
00
00
00
01
10
10
00
00
10
01
00
10
10
10
00
01
00
10
10
00
00
00
01
11
00
00
00
01
10
10
11
10
01
00
11
10
10
01
10
10
00
00
10
11
00
00
00
00
11
10
00
00
10
00
10
01
00
11
10
10
10
00
01
00
10
10
10
01
10
10
01
00
10
11
11
10
11
00
00
10
10
01
10
10
01
00
00
10
00
10
10
10
01
10
11
00
00
10
00
10
10
10
10
10
00
10
11
00
01
10
00
00
00
01
11
01
01
00
10
01
10
11
00
00
10
01
00
10
10
00
00
01
00
10
00
10
10
01
00
10
10
01
11
00
10
10
10
00
11
01
11
01
00
10
00
00
11
10
00
10
00
10
10
01
00
10
00
00
01
11
01
11
10
10
11
10
10
00
01
10
10
10
10
11
00
10
10
00
01
00
01
10
00
10
01
01
10
10
00
11
10
00
01
00
10
11
11
00
01
10
10
00
10
11
00
10
01
10
10
00
00
00
10
10
10
11
01
10
00
10
10
11
00
00
11
11
00
00
00
00
01
10
10
11
00
11
01
10
01
10
10
11
11
00
11
10
00
10
10
00
11
00
00
00
00
00
00
10
11
01
00
11
10
00
00
00
01
10
11
01
11
11
10
10
10
10
00
10
00
01
00
00
00
01
00
01
10
11
10
01
00
11
10
10
11
01
00
10
01
01
10
10
10
00
01
11
00
10
11
11
11
00
01
11
10
01
00
01
01
00
10
11
00
10
00
00
01
10
00
10
00
00
11
10
10
00
01
10
10
10
10
10
00
11
00
10
10
01
01
00
10
00
10
10
00
00
10
00
00
00
01
10
11
10
01
00
11
01
01
11
10
00
00
00
10
10
00
00
10
10
10
10
00
01
11
00
01
11
10
00
10
00
10
00
01
10
00
01
10
01
00
10
10
11
10
00
10
10
00
01
00
01
01
10
10
10
01
11
00
01
11
00
01
00
10
11
01
01
11
01
00
00
10
10
00
01
01
10
00
01
11
00
01
10
01
00
10
00
00
10
10
10
10
00
11
00
10
11
00
10
00
00
00
10
11
00
01
00
01
10
00
11
00
10
11
01
01
10
01
01
00
10
00
11
10
10
01
01
00
10
10
10
10
01
00
10
10
01
01
00
10
00
10
10
10
10
01
00
11
10
00
11
10
11
10
00
00
11
01
01
10
10
11
01
10
10
10
10
11
00
01
00
10
10
00
11
11
01
00
00
00
00
11
00
10
11
10
10
00
00
11
00
01
11
10
01
10
00
11
10
00
00
11
10
10
00
10
10
00
10
01
10
11
00
11
00
01
00
11
10
11
10
01
10
00
11
11
01
00
10
10
10
10
00
01
11
00
10
11
01
00
10
01
00
10
10
00
00
00
00
10
00
10
11
11
00
00
01
10
00
10
00
11
10
00
10
11
00
10
11
10
10
01
00
11
10
10
10
10
10
11
10
00
00
01
10
00
01
11
01
01
11
11
11
00
10
01
01
10
00
00
11
10
11
00
10
10
00
00
11
01
00
01
10
01
11
10
00
10
11
01
01
10
10
00
01
00
01
11
10
01
10
00
10
10
00
00
01
10
11
00
01
10
11
10
01
00
11
00
10
00
00
10
10
10
00
10
10
00
00
10
00
00
10
10
00
10
11
00
00
10
00
00
00
10
11
10
01
10
10
01
10
10
10
00
01
00
11
10
10
00
00
00
00
00
10
00
00
10
10
11
10
10
00
01
00
00
00
10
11
10
10
00
10
01
00
10
11
01
01
01
10
10
00
10
10
11
01
01
11
00
00
10
00
00
11
00
00
10
10
00
00
01
10
10
10
01
10
00
01
10
01
10
00
01
00
10
10
11
01
11
11
01
10
00
01
11
00
00
11
10
00
10
10
00
11
11
01
00
00
10
11
00
01
00
00
10
11
00
01
11
10
00
11
10
11
10
00
01
00
10
01
00
01
00
11
11
10
00
00
01
01
11
10
01
01
11
10
01
00
10
11
00
01
00
01
10
00
00
11
00
10
00
00
00
10
00
00
00
10
11
10
00
11
11
10
01
10
10
11
10
01
11
10
01
00
10
10
11
01
00
10
11
01
10
10
00
01
10
11
00
10
10
00
10
10
11
00
00
00
10
10
00
10
10
01
11
00
00
10
10
10
00
01
10
00
00
10
10
11
00
10
10
00
10
00
00
10
00
00
11
00
01
11
00
00
10
10
01
10
10
10
01
10
10
00
11
00
10
11
11
10
01
00
00
01
01
10
00
10
10
01
00
00
10
10
01
10
10
00
11
11
10
01
11
10
01
01
00
01
10
10
01
01
10
11
00
10
00
00
10
01
11
00
00
11
00
00
00
00
10
00
10
00
11
01
00
00
10
10
00
00
01
11
01
01
10
00
11
10
10
00
00
10
00
10
10
10
00
10
00
00
00
00
00
11
11
10
00
10
00
11
11
00
11
10
10
01
10
10
00
11
10
10
11
00
00
10
10
10
01
00
00
11
10
01
10
00
10
10
01
10
11
00
11
10
10
01
01
10
11
00
00
10
01
01
00
01
10
00
00
01
00
11
10
10
11
11
01
10
00
00
00
10
00
00
10
10
10
11
00
11
10
00
01
10
00
01
11
10
10
00
00
10
10
00
10
10
10
00
10
10
10
01
00
11
11
10
11
10
00
01
10
10
11
10
00
00
11
11
10
11
11
00
01
11
00
10
10
00
10
10
01
00
00
10
10
11
10
10
00
10
10
10
00
00
10
10
10
01
11
11
01
00
10
00
11
00
01
10
10
10
10
10
10
00
00
00
10
10
00
11
11
01
10
00
01
11
11
00
00
10
11
01
10
10
00
00
00
10
10
10
10
11
01
10
01
01
01
00
10
11
10
11
01
11
10
10
10
01
10
11
00
01
00
00
10
11
01
00
10
11
11
00
00
10
10
01
10
10
10
00
00
00
10
10
11
00
00
00
10
11
00
00
10
10
11
10
00
11
01
10
00
00
00
11
00
01
10
10
00
00
10
01
01
10
11
11
00
11
10
01
10
11
00
01
00
10
11
01
01
11
11
11
10
10
00
00
00
10
10
00
10
10
00
10
11
00
10
10
10
00
10
10
00
01
11
01
01
10
10
00
00
00
01
10
00
00
00
11
10
00
10
01
00
00
00
10
10
00
11
00
10
01
11
00
01
10
01
10
00
00
10
10
00
01
10
01
00
00
00
10
10
10
00
00
00
11
10
01
11
11
00
11
00
01
01
10
11
00
00
00
00
11
01
01
10
00
10
10
00
10
00
00
10
10
10
00
00
01
00
10
10
00
10
00
00
11
10
00
10
00
00
10
10
10
00
00
01
10
00
00
00
00
11
10
01
10
00
11
11
11
11
00
00
00
00
11
10
00
10
01
00
00
00
10
10
00
10
00
00
10
00
11
10
00
11
11
10
10
00
01
01
01
11
10
00
11
11
01
10
10
00
11
00
01
01
10
00
00
10
00
10
01
01
10
01
01
10
11
10
10
10
00
00
00
01
11
11
10
00
01
10
00
00
10
00
11
11
01
00
00
11
11
00
11
10
00
01
10
10
10
00
01
00
00
10
00
01
10
00
11
00
00
00
00
00
00
11
01
10
00
01
01
11
01
00
10
11
00
00
10
11
00
01
10
00
10
10
00
10
00
00
10
01
10
01
01
00
01
00
00
11
01
11
01
00
10
10
11
00
00
10
10
00
00
01
01
10
11
11
10
01
10
10
00
01
10
01
00
10
10
01
11
01
01
10
10
10
00
11
11
00
01
10
00
00
01
01
10
00
00
01
00
10
10
10
00
01
10
01
00
10
10
10
10
01
00
10
00
10
01
10
11
10
10
01
01
10
10
00
00
00
01
11
11
10
00
00
11
01
00
01
10
00
11
10
00
10
10
01
00
01
10
10
01
01
00
00
10
11
01
00
00
10
00
00
10
10
10
00
10
00
00
00
00
10
00
11
11
00
00
01
11
01
01
10
10
00
00
10
00
00
00
10
10
10
11
10
10
00
11
10
10
00
00
01
01
10
10
01
00
11
00
11
10
00
00
00
10
10
10
10
10
00
01
10
01
01
10
01
00
11
11
10
01
11
00
10
10
00
00
11
10
01
11
10
10
01
10
11
01
00
00
00
10
10
10
00
10
10
00
10
10
10
01
11
00
11
10
01
00
10
01
00
10
00
10
10
00
01
01
11
10
01
11
11
00
10
01
10
10
00
00
10
10
00
10
01
11
11
00
01
00
00
10
10
11
11
00
00
01
11
10
00
11
00
10
01
10
01
00
11
11
10
01
10
10
01
00
00
01
00
10
10
10
00
10
00
11
11
00
00
01
10
01
10
00
10
10
00
11
11
01
10
00
10
00
10
10
00
00
01
01
10
00
00
10
10
00
10
01
01
11
11
00
10
00
00
00
00
10
10
00
01
00
01
10
11
10
00
01
11
00
00
01
11
11
01
00
00
10
11
00
01
10
10
10
11
11
10
11
01
10
11
10
10
01
00
00
10
10
00
00
00
00
11
10
00
00
10
10
10
01
00
00
00
00
01
11
10
11
01
10
00
00
10
00
00
01
11
10
10
10
01
10
00
10
10
01
00
00
10
10
10
01
10
10
00
00
00
00
10
00
11
00
10
00
11
10
11
00
10
00
00
00
10
00
01
00
10
00
11
00
10
11
00
10
10
00
00
11
10
00
10
10
00
10
01
10
10
01
00
00
01
00
01
10
11
10
10
10
10
11
01
10
01
00
10
10
00
01
10
00
00
01
11
10
00
00
11
11
01
10
00
00
00
10
00
11
10
00
10
10
10
10
10
00
10
00
00
00
00
00
11
00
00
01
11
11
11
00
11
01
01
10
00
01
01
00
10
10
00
00
01
10
00
10
11
10
00
00
11
00
01
01
01
00
11
11
00
00
11
00
10
11
00
11
00
01
11
10
01
00
10
10
11
00
00
00
11
11
10
11
00
11
11
00
10
00
10
11
11
00
01
11
01
00
10
11
11
11
01
11
00
10
10
00
01
00
10
11
10
10
00
00
11
01
11
10
10
11
10
10
01
00
10
00
10
10
01
10
10
01
00
00
01
10
00
00
10
01
11
00
01
10
01
11
11
10
00
11
01
00
10
10
10
00
11
00
00
10
00
01
10
00
01
11
10
00
10
11
11
01
00
00
01
00
10
11
11
10
10
00
01
10
00
00
10
10
00
01
00
11
11
10
00
10
01
01
10
11
10
00
00
00
10
01
01
00
00
00
11
01
11
11
00
00
11
00
10
10
10
00
00
11
01
00
01
10
01
01
00
11
11
01
00
00
10
00
10
10
00
00
10
11
00
10
00
10
10
00
11
10
00
00
00
11
01
00
10
10
00
00
10
10
00
10
10
10
01
00
01
00
10
00
10
11
01
00
11
00
10
10
00
11
00
01
10
00
11
10
10
00
01
01
01
10
00
01
00
01
01
00
10
11
10
01
10
10
10
01
00
11
00
10
10
10
00
00
00
11
10
01
11
00
10
10
00
00
00
10
00
00
11
01
00
01
11
01
10
10
01
10
10
01
01
10
11
00
00
10
01
10
00
00
11
01
00
11
11
11
10
11
00
01
00
00
00
10
11
10
10
00
01
10
01
01
11
10
00
10
10
01
00
10
10
01
00
10
00
01
10
10
10
00
00
00
11
10
00
00
11
00
00
10
10
00
00
10
11
10
00
10
11
00
10
10
00
10
01
11
10
10
01
01
10
10
00
01
01
11
10
00
00
10
10
10
01
10
00
10
01
10
10
01
10
10
00
01
01
00
00
00
00
01
11
00
01
10
01
00
01
10
01
10
10
01
00
11
00
10
10
11
11
11
11
10
00
01
10
11
00
00
10
00
10
00
10
00
00
00
11
00
01
00
11
00
01
00
01
01
11
10
11
10
00
10
10
10
00
11
10
01
10
01
10
01
10
11
10
00
10
00
01
00
10
10
01
00
10
10
11
11
00
10
10
01
00
01
10
01
01
10
00
10
10
11
10
00
10
10
10
00
11
00
01
01
00
10
10
00
01
10
10
10
01
11
11
01
00
00
01
10
11
11
11
00
00
10
10
00
00
00
10
00
00
00
01
11
10
01
10
01
01
00
00
10
10
00
10
10
11
01
00
00
10
10
01
00
11
10
00
01
00
10
11
00
11
10
11
00
11
10
00
10
10
00
00
00
10
11
10
10
11
10
10
10
10
10
11
00
00
01
10
10
10
00
00
10
01
01
00
10
00
10
11
00
10
00
01
11
00
01
10
00
10
10
00
00
10
10
01
11
01
11
00
10
11
11
11
11
00
00
10
10
10
11
00
01
00
10
11
00
10
11
10
01
11
10
00
10
01
01
00
10
00
10
00
11
00
01
11
10
11
00
10
10
00
01
00
01
11
11
00
11
11
10
11
00
01
00
00
00
10
10
00
11
11
01
10
10
01
01
11
01
00
11
10
10
11
00
01
10
11
10
11
10
00
01
10
00
11
00
00
00
10
01
00
10
10
00
10
10
11
10
00
00
00
10
00
01
01
00
11
01
00
00
11
10
11
10
00
11
10
10
00
10
10
10
10
10
00
10
10
00
00
00
11
11
11
10
11
00
10
10
10
01
01
00
10
01
00
10
01
00
00
10
10
10
10
00
10
10
10
10
00
01
01
10
01
01
10
00
00
10
11
00
11
11
00
10
10
10
00
10
01
01
01
10
10
11
10
10
10
11
11
01
10
10
00
10
00
00
11
00
00
11
11
10
10
00
00
00
01
00
11
10
01
10
00
00
11
10
01
10
00
10
10
00
10
10
10
00
01
00
11
00
00
00
11
00
10
11
00
10
10
00
10
01
00
00
10
00
00
10
11
00
10
01
00
11
00
00
10
10
01
00
01
11
00
00
01
11
01
10
11
00
11
10
00
10
11
00
10
11
00
01
01
10
11
10
10
00
00
11
00
11
11
10
00
00
00
00
01
10
10
00
10
10
10
01
00
00
00
10
10
10
11
11
01
00
00
11
01
10
11
01
00
10
10
00
11
10
10
00
10
11
10
00
00
10
01
10
10
01
00
10
10
01
10
10
11
00
00
10
11
00
01
00
00
10
10
11
00
10
10
00
10
10
00
11
10
00
00
10
00
01
00
10
10
00
11
10
00
00
11
00
11
10
01
00
00
10
10
11
00
01
10
10
10
10
00
11
00
00
01
11
10
10
11
00
00
11
11
00
00
10
10
01
00
10
11
00
00
01
01
00
10
10
11
01
11
00
01
11
10
11
00
01
01
01
10
11
01
01
10
00
00
11
10
11
00
00
10
10
10
00
00
10
00
00
10
00
10
01
10
10
10
10
10
00
01
10
10
00
00
01
00
00
10
00
00
10
01
10
00
10
10
00
10
10
00
10
11
10
10
10
10
00
00
00
11
11
00
01
00
11
10
01
01
10
01
10
00
10
10
00
01
10
01
01
11
00
10
11
01
00
00
00
10
10
11
11
10
00
11
00
11
00
10
10
11
00
11
00
01
11
01
00
11
10
01
10
10
10
10
00
01
11
01
00
01
00
00
10
10
00
00
10
10
00
00
00
11
11
00
10
11
10
00
00
00
01
00
10
10
11
10
00
11
00
00
00
00
10
00
00
10
10
10
01
01
10
11
01
11
01
00
10
10
10
00
01
10
11
00
11
10
10
10
01
01
10
10
00
10
10
00
00
01
11
01
11
10
11
10
00
00
10
10
01
01
10
01
10
11
10
00
01
00
10
11
11
00
00
00
10
00
00
10
00
10
00
00
00
10
00
01
00
11
10
11
10
11
10
01
10
11
01
00
11
10
10
00
10
01
00
01
10
10
01
11
01
11
10
01
10
10
00
01
10
00
01
10
10
10
01
00
00
00
11
10
00
10
10
10
00
01
10
11
00
01
00
10
00
00
00
00
01
10
00
10
11
00
01
10
11
10
10
01
10
01
11
11
01
11
11
10
10
00
10
11
00
00
10
01
00
11
10
01
11
00
11
10
10
00
00
10
10
00
00
11
00
10
10
00
11
01
10
11
11
01
01
01
01
11
10
00
11
10
11
00
01
00
01
10
10
00
00
10
11
00
00
01
01
01
11
10
10
10
00
00
11
10
00
01
11
10
00
01
10
01
00
00
01
10
00
00
11
10
00
00
10
00
11
00
01
00
10
10
10
10
01
00
01
00
10
10
10
00
10
10
00
00
00
00
10
01
01
10
10
00
00
10
11
00
11
10
01
10
01
11
01
00
00
10
11
01
10
00
10
10
00
10
00
00
10
01
01
01
10
11
11
11
10
10
00
01
10
01
10
00
00
11
00
00
10
11
01
11
10
00
00
00
00
10
00
11
00
11
10
01
10
11
11
00
10
00
01
10
00
00
01
01
00
10
10
00
00
00
10
00
10
00
11
10
00
00
00
10
00
01
11
01
00
10
11
01
10
10
01
00
00
00
11
10
10
10
11
11
11
00
01
10
10
01
00
10
11
01
01
00
10
11
10
00
10
11
10
11
01
00
11
00
10
11
00
00
01
00
10
00
10
00
00
00
00
10
10
00
10
10
10
00
00
00
00
01
11
00
00
00
10
10
10
00
11
10
10
00
10
00
01
10
11
01
00
00
10
01
01
10
10
01
01
10
00
01
11
01
01
00
11
11
00
11
01
10
11
01
01
10
10
00
00
00
11
11
11
00
11
00
00
10
00
00
11
11
11
01
01
10
00
10
00
01
11
10
11
10
00
11
00
01
10
10
00
00
10
00
10
10
10
10
00
00
00
11
10
11
11
10
01
11
11
01
10
11
00
00
11
10
00
10
00
00
10
00
00
01
10
10
00
11
00
10
00
01
11
11
10
01
10
11
10
11
00
00
01
10
10
10
00
01
01
10
11
11
10
00
00
10
00
00
00
01
00
01
00
10
00
10
10
01
10
10
10
01
00
00
10
10
10
01
11
11
00
00
11
01
00
11
10
00
01
11
10
00
10
00
11
10
00
10
01
01
11
10
00
10
00
00
11
00
11
00
00
11
00
11
00
00
00
11
10
00
00
11
00
10
10
10
00
10
00
00
00
00
01
00
10
11
00
10
11
01
10
00
00
11
10
11
01
00
01
10
01
11
11
01
01
00
10
10
00
00
10
10
10
00
10
00
10
10
01
01
00
00
00
11
00
10
10
10
00
11
10
00
00
10
00
10
10
10
00
01
00
10
10
11
01
10
10
11
00
00
00
10
00
00
10
10
00
01
11
00
10
10
10
00
10
00
00
11
00
00
11
01
10
11
10
10
01
00
11
10
00
00
00
11
11
10
00
11
10
11
00
01
00
10
10
01
00
10
10
00
00
01
10
11
11
00
10
10
00
00
00
01
10
11
11
10
10
10
10
00
00
10
10
00
00
11
00
00
00
11
11
10
10
01
01
10
10
00
01
00
01
11
00
00
00
00
10
01
00
01
10
00
11
00
11
11
00
10
00
01
10
01
00
11
11
00
01
00
10
10
10
00
00
10
11
10
00
00
00
11
10
10
10
01
10
00
01
11
10
00
00
10
10
01
11
10
10
10
00
11
10
00
00
10
00
01
11
00
10
10
10
00
01
10
00
01
00
10
10
11
11
00
00
00
00
01
10
10
00
01
00
00
10
10
10
11
00
00
00
11
00
01
10
11
00
00
00
10
00
10
10
00
01
00
11
01
00
11
01
10
10
10
00
00
10
11
01
11
11
00
00
00
11
10
00
00
11
00
00
00
11
11
01
10
11
00
00
00
01
01
11
00
10
10
01
00
10
00
01
01
11
00
01
10
11
10
00
11
11
00
10
10
00
00
10
11
10
11
00
11
00
01
11
00
00
11
01
10
00
11
10
01
00
00
10
10
00
00
10
10
00
00
11
00
10
10
01
10
00
01
00
01
10
00
00
10
11
10
00
00
01
01
01
11
00
11
00
10
10
10
00
01
00
11
10
00
00
00
10
11
10
01
10
10
10
00
01
10
00
00
10
00
01
10
01
11
11
11
10
00
10
10
00
00
01
10
11
10
10
10
11
00
01
00
01
00
00
10
01
10
10
10
10
00
11
11
01
00
00
00
00
01
00
10
00
01
10
01
00
00
00
11
01
10
00
00
10
10
10
10
10
10
00
00
00
01
00
10
10
10
10
11
01
00
01
00
11
01
00
10
01
11
10
00
01
10
10
00
11
00
00
11
11
10
10
10
00
10
01
10
11
10
10
00
10
00
10
11
00
00
01
11
00
00
00
11
10
01
00
00
10
10
11
00
11
10
00
11
10
00
10
01
00
00
01
10
10
10
00
00
11
00
00
10
10
11
01
11
00
11
01
10
10
01
00
00
01
01
01
10
01
10
11
10
01
00
00
10
10
00
10
01
00
10
11
01
11
11
00
00
11
10
00
10
11
10
00
00
00
10
10
01
10
01
00
00
11
00
10
00
00
10
10
00
00
10
10
01
00
00
01
01
00
11
10
10
10
00
00
11
10
01
01
10
00
00
00
10
10
00
00
00
11
00
10
10
00
10
10
10
10
01
11
00
10
00
01
00
00
10
10
00
01
10
01
00
11
10
00
00
10
01
01
01
11
11
01
01
10
00
01
00
11
10
01
10
00
10
10
00
11
10
01
00
11
00
00
11
00
00
10
00
00
01
10
11
10
11
00
10
00
01
00
00
01
10
01
00
00
00
10
10
00
00
10
10
10
10
10
10
00
00
00
10
00
11
11
01
00
01
10
11
10
10
00
00
11
11
10
11
10
10
10
01
00
10
10
00
01
10
00
11
10
01
00
01
00
00
10
11
00
01
11
10
10
01
00
00
10
11
00
11
10
10
00
10
10
01
00
11
00
11
00
10
10
00
10
11
11
00
00
11
10
01
10
10
00
01
00
00
10
10
01
10
11
10
00
01
11
10
00
10
10
11
11
00
00
10
01
01
10
10
01
10
00
10
11
11
10
10
01
00
00
01
10
01
10
10
11
11
00
10
10
00
00
00
00
10
00
01
11
10
00
11
11
00
10
00
10
11
00
01
00
11
00
00
00
00
11
00
11
10
10
00
10
10
10
00
01
10
10
01
11
10
00
10
10
00
10
01
00
10
11
11
10
00
01
00
10
00
10
10
00
10
00
11
10
10
11
10
01
11
11
10
00
00
00
00
10
00
00
01
11
00
10
11
11
01
11
10
00
11
00
01
10
10
10
10
10
00
00
10
00
11
11
01
00
00
00
10
01
00
10
10
11
00
10
11
00
00
00
00
10
10
00
10
10
10
11
11
00
01
11
00
10
10
00
01
10
10
01
11
01
10
00
10
11
00
11
01
10
11
01
00
00
11
01
00
11
10
11
00
10
10
00
00
01
10
11
11
11
01
01
10
00
00
00
11
10
00
00
11
10
00
00
11
10
10
00
01
11
10
10
10
01
01
01
11
10
00
00
11
11
00
00
00
10
00
00
11
10
10
10
00
00
11
10
00
11
11
00
01
10
01
01
11
10
01
11
10
01
00
10
00
10
10
00
00
10
00
00
01
01
10
10
11
00
01
00
10
10
00
10
10
00
00
11
00
10
10
10
01
00
10
10
11
00
00
10
01
01
10
10
10
10
10
01
10
10
01
10
11
11
00
00
00
10
00
00
11
10
00
01
00
10
00
11
10
10
10
11
01
00
00
00
00
10
00
01
11
00
00
10
10
10
11
01
00
11
10
01
00
10
11
00
11
10
10
00
10
01
10
10
10
10
10
00
00
11
11
01
00
00
11
10
01
10
00
10
10
00
01
00
10
10
10
11
10
10
01
00
01
10
11
00
01
11
00
00
10
00
10
01
10
00
01
00
00
10
00
01
11
10
11
00
01
11
00
10
10
00
00
00
11
10
00
11
11
00
01
00
10
10
11
00
00
11
11
00
00
00
10
10
01
00
01
10
01
00
11
00
11
10
10
00
11
10
00
11
00
00
00
10
10
00
00
11
00
00
00
00
11
10
01
01
01
10
01
10
01
10
11
10
00
11
00
11
10
11
00
10
10
00
10
10
10
01
00
10
10
00
01
10
00
10
00
11
10
01
10
01
10
01
01
11
00
00
10
11
11
10
10
00
10
10
00
00
11
00
01
10
10
00
10
10
11
10
00
00
10
00
11
11
10
11
10
00
11
11
10
00
10
00
00
11
01
10
10
00
01
10
11
11
10
00
01
11
10
01
11
01
01
10
11
00
00
11
01
00
11
10
01
00
10
10
00
00
10
10
00
00
11
11
10
10
00
00
10
10
10
10
10
00
11
00
00
00
01
10
10
00
00
00
10
11
00
00
00
10
10
10
10
00
11
10
10
10
00
01
11
10
00
01
00
10
00
00
10
10
11
00
11
11
00
01
00
10
11
10
00
11
00
00
10
10
01
10
10
01
00
00
00
11
10
10
00
10
11
00
10
10
00
01
01
10
10
10
11
00
10
10
00
00
00
11
11
01
11
00
00
00
00
10
00
00
01
10
10
10
11
10
10
01
10
01
01
11
10
11
11
00
10
10
11
10
11
00
01
00
00
10
10
11
00
10
10
01
00
01
10
10
01
11
10
10
11
11
00
00
00
00
01
01
01
10
00
01
10
11
01
11
01
00
10
01
00
10
10
00
01
11
10
00
11
10
00
00
01
10
10
00
10
10
00
10
10
01
00
11
10
11
01
11
11
00
01
10
00
00
11
10
10
00
00
10
00
10
10
10
00
01
00
10
00
10
11
00
10
10
11
00
01
00
10
10
11
01
00
10
11
10
11
10
00
00
10
10
10
01
00
11
10
01
00
00
11
01
00
01
01
11
00
00
00
11
10
10
10
00
00
10
00
00
11
10
00
00
01
10
10
10
10
11
01
01
11
10
01
10
10
11
00
00
10
00
00
01
11
10
00
00
01
10
11
10
00
00
10
10
00
00
10
11
11
00
10
00
00
00
10
10
01
11
10
00
00
01
00
00
10
01
01
10
00
10
11
00
00
00
11
11
01
00
10
10
00
10
01
00
10
10
11
11
10
01
00
10
10
01
11
11
01
00
11
10
11
10
00
00
11
10
00
10
10
10
01
00
10
00
01
00
00
01
10
00
10
10
11
10
10
00
10
00
01
00
11
10
00
00
00
10
11
10
00
00
10
01
00
10
00
00
10
00
01
01
10
00
00
10
11
10
10
10
01
01
01
11
10
10
00
10
01
01
10
10
00
01
00
10
10
00
10
10
11
10
00
00
00
10
10
01
10
00
10
00
00
00
10
01
10
00
01
11
11
00
10
01
00
11
00
10
10
10
00
10
11
11
11
01
10
00
00
00
00
10
10
00
11
11
11
10
10
10
10
01
00
10
10
01
00
00
00
10
10
11
10
00
00
11
00
00
10
10
00
11
00
11
11
11
11
11
01
00
10
10
01
01
10
00
01
11
10
00
11
01
10
01
10
10
10
00
01
01
10
10
00
00
01
00
10
10
01
11
10
01
11
00
00
00
10
10
01
00
01
10
00
00
10
10
00
01
00
10
10
00
11
00
00
01
10
11
10
00
11
01
00
11
10
11
11
10
00
10
10
00
01
00
10
11
01
11
11
10
00
10
10
00
01
10
10
10
00
10
00
00
11
00
00
10
00
00
00
10
10
01
00
00
00
10
11
00
00
10
10
01
10
10
01
01
10
00
01
00
10
00
00
10
00
11
10
11
10
00
00
00
00
01
00
10
11
10
10
10
00
01
10
00
00
00
01
00
11
01
00
10
10
10
00
01
10
10
10
00
00
10
01
00
10
00
00
01
00
00
00
10
10
00
10
00
10
10
00
10
01
01
10
00
11
00
10
01
10
10
11
01
00
11
11
01
10
10
11
00
00
10
10
10
10
00
00
01
10
00
01
01
00
00
10
11
00
00
11
00
10
01
01
10
10
01
00
11
01
10
10
01
00
01
00
10
10
10
01
00
10
11
01
10
10
10
10
01
11
11
01
01
00
11
10
11
00
01
11
00
00
11
00
00
00
10
11
00
00
00
01
11
01
01
00
10
10
10
01
00
10
11
00
10
10
11
00
10
01
01
00
10
10
00
00
11
10
01
00
10
00
01
10
10
10
00
00
11
00
00
00
00
00
00
10
11
01
10
10
11
00
00
10
11
01
11
01
11
01
00
00
11
00
00
10
00
01
11
11
11
10
10
00
00
11
11
01
01
10
00
00
10
11
01
00
10
10
00
11
10
00
11
11
00
00
00
10
00
11
11
00
10
00
10
01
11
10
10
00
11
00
10
01
00
00
00
11
01
10
10
01
01
11
10
10
11
11
11
10
10
01
01
10
11
01
11
10
01
00
11
10
00
10
10
11
00
10
00
00
11
00
10
10
11
00
00
00
10
11
11
00
01
10
00
01
10
10
10
10
11
01
00
01
00
00
00
10
10
00
11
10
00
00
01
11
11
11
00
00
00
00
10
00
00
01
10
11
10
01
00
00
10
00
10
10
10
01
11
10
01
00
10
01
00
10
01
00
11
10
00
11
01
00
11
10
10
00
00
11
00
10
10
10
01
11
10
00
00
10
00
00
11
10
01
01
01
00
10
10
10
00
00
10
10
01
00
00
10
01
00
00
00
11
00
11
10
11
11
01
00
10
10
00
10
10
00
01
10
01
01
10
01
10
00
11
11
11
00
01
11
11
00
10
10
00
00
10
00
11
00
10
11
10
00
00
10
11
00
00
00
11
11
10
10
01
00
11
11
00
10
10
01
11
11
10
00
10
10
00
00
10
01
00
11
11
11
00
00
00
10
01
00
10
10
01
00
01
00
10
11
11
01
10
10
00
10
10
01
01
01
00
00
11
10
01
10
10
00
10
10
11
11
00
00
00
00
10
00
01
00
10
00
11
10
10
01
00
01
10
10
01
01
10
11
10
11
11
10
00
01
10
00
01
10
10
00
11
11
10
10
00
10
00
00
10
10
00
11
10
10
01
00
10
01
01
00
00
00
10
10
01
00
10
10
00
00
01
01
10
00
00
00
00
11
00
01
00
11
11
00
10
10
00
01
01
00
10
10
00
11
00
00
10
10
00
10
10
01
00
10
10
10
10
00
00
00
11
10
11
00
00
10
00
10
00
00
11
10
01
00
00
00
10
01
10
10
01
11
00
00
00
11
00
01
11
01
01
11
10
00
10
10
00
01
10
10
10
10
10
10
11
00
10
01
00
00
00
10
10
10
00
00
10
10
00
11
01
10
00
01
00
00
00
10
11
00
01
01
00
11
10
10
01
01
11
01
10
11
10
10
01
11
11
00
00
10
10
10
00
10
10
01
01
00
00
11
01
10
11
01
00
10
11
01
00
01
11
00
01
10
10
00
00
10
00
10
10
00
10
01
00
00
00
11
10
00
00
11
11
11
11
01
00
01
00
00
11
01
01
10
11
01
10
11
01
11
00
11
10
11
10
01
10
01
01
00
00
11
10
10
10
00
10
00
00
01
10
00
00
10
10
11
10
11
00
11
00
00
01
01
00
10
00
00
00
10
11
00
00
00
10
10
01
10
10
01
01
01
11
00
00
10
10
01
00
10
10
10
10
00
00
00
11
00
01
11
10
10
11
01
01
11
11
01
10
10
00
10
01
01
01
11
10
10
00
00
01
10
11
01
11
10
01
10
00
10
11
00
00
01
00
01
11
00
11
01
00
00
10
10
00
11
10
00
00
11
10
10
00
10
00
11
10
10
10
00
10
00
11
00
00
00
10
01
10
01
00
10
01
10
10
11
10
00
10
01
00
10
11
00
01
00
10
10
00
00
00
01
11
10
10
01
00
10
10
10
00
00
00
11
00
11
10
01
10
01
10
00
10
10
01
01
00
11
00
01
10
00
01
10
00
01
00
11
00
00
11
00
10
00
00
10
10
00
10
10
10
00
00
00
01
10
01
01
10
11
10
01
01
00
10
01
00
10
11
00
10
10
11
00
01
10
11
11
00
00
01
10
11
00
01
10
11
10
10
00
01
00
00
10
10
10
00
00
10
00
00
00
10
01
00
10
01
11
11
11
00
00
11
10
00
00
10
10
00
00
10
00
00
10
10
01
01
01
11
11
10
10
01
00
01
10
11
10
01
00
00
10
10
00
00
10
10
01
10
00
01
11
01
00
10
00
10
00
10
11
00
00
10
10
01
10
00
00
01
10
00
00
10
01
10
00
00
11
00
01
01
10
00
01
11
01
00
01
11
10
00
00
01
01
10
10
10
00
10
10
00
10
10
10
10
01
10
00
00
00
10
00
10
11
01
00
11
00
00
00
00
00
10
10
00
11
00
10
10
00
10
10
00
01
00
11
10
11
10
11
00
00
01
10
10
10
01
00
10
10
00
01
01
00
00
11
10
01
00
00
11
11
00
01
11
10
11
10
00
11
01
00
10
10
10
10
01
00
10
01
00
00
11
00
00
01
11
10
00
11
01
00
01
11
11
00
00
10
01
01
11
00
00
10
11
11
00
10
11
11
00
00
11
01
10
10
10
11
00
00
10
00
10
11
10
11
00
10
10
00
00
10
00
11
00
10
01
11
11
10
01
00
11
00
01
10
10
10
00
00
10
01
01
11
10
10
11
10
01
01
00
10
10
10
01
10
00
01
10
00
10
00
11
00
11
11
10
10
00
00
00
10
10
00
10
00
01
10
01
00
00
10
00
10
01
01
10
11
11
01
00
00
10
10
11
00
00
10
01
00
00
10
10
10
10
00
00
00
11
10
00
10
11
11
01
10
01
10
01
00
00
00
11
00
11
00
11
00
00
10
00
10
00
11
11
11
00
10
10
00
10
10
00
10
10
01
00
11
10
01
00
10
01
01
10
01
01
10
10
10
00
00
10
10
10
01
10
00
11
10
00
00
10
10
00
01
00
11
00
00
01
00
00
10
00
01
00
01
10
00
01
10
10
00
00
11
01
11
10
10
01
10
10
00
10
10
01
10
10
00
10
10
10
10
11
00
00
00
00
01
10
01
00
10
00
01
10
00
00
10
00
01
11
11
11
00
01
10
10
01
00
10
10
00
00
11
10
01
11
10
00
00
00
00
00
00
00
11
11
01
10
11
00
01
10
10
00
01
00
10
10
00
00
10
10
10
10
10
10
00
00
11
01
11
01
11
01
10
10
11
10
00
00
11
11
00
10
01
00
00
11
10
01
10
11
11
01
01
00
11
11
01
00
10
01
01
11
01
00
10
00
00
00
10
10
00
00
10
01
11
00
11
00
01
10
00
00
10
10
00
10
10
10
00
01
10
11
00
00
00
00
00
10
00
10
00
10
10
10
11
00
00
11
10
00
10
01
01
00
10
01
00
10
10
11
10
10
00
00
10
10
00
11
00
10
01
01
11
10
11
01
01
11
11
01
10
10
00
11
10
01
00
10
10
01
01
11
01
10
01
00
10
10
01
01
10
01
10
10
00
10
10
00
10
11
01
10
00
11
00
00
00
01
11
00
10
11
11
00
11
10
11
01
00
10
00
00
10
01
00
10
00
10
01
00
00
10
10
01
00
00
10
01
00
00
11
00
00
10
00
10
01
01
10
11
11
10
11
01
01
11
00
01
01
10
10
00
00
10
00
10
00
00
11
00
11
11
01
10
11
01
11
10
00
01
10
10
01
10
10
11
00
00
01
10
00
10
10
00
11
00
10
10
11
10
10
00
00
11
01
11
00
00
11
10
01
10
11
10
01
10
11
10
11
01
00
00
00
10
00
00
10
10
10
10
00
10
10
11
10
00
10
11
10
10
01
10
10
00
01
11
01
10
10
00
00
11
11
00
01
11
01
10
00
11
10
01
00
11
10
11
01
10
00
01
00
10
10
01
00
00
10
11
00
10
00
00
00
00
10
10
00
01
11
10
11
00
10
00
00
00
11
10
01
11
01
01
10
10
00
10
11
00
11
11
00
01
10
00
00
00
10
10
10
00
10
10
10
01
10
00
10
00
00
10
00
00
01
01
00
10
10
10
10
00
00
10
11
00
01
00
00
10
00
00
10
10
11
00
01
01
11
00
10
00
00
10
10
11
11
01
01
10
10
11
00
00
01
11
10
10
11
10
11
01
11
11
00
00
00
10
11
00
00
00
11
00
00
00
10
10
00
01
10
10
01
11
10
01
11
10
10
00
11
00
11
11
00
11
10
01
11
00
01
01
11
11
00
01
10
01
10
01
11
11
00
11
11
00
10
00
11
10
01
01
00
00
11
01
11
00
00
10
00
00
10
10
01
10
01
00
10
11
00
11
00
11
10
01
10
10
10
00
00
10
10
01
10
10
11
10
01
10
00
01
00
10
00
11
10
10
01
00
01
00
10
10
00
10
10
00
10
00
00
01
10
10
01
01
00
10
10
01
00
00
00
00
01
11
00
10
10
10
10
00
11
10
11
00
00
01
01
00
00
01
10
11
00
01
00
11
10
10
11
00
01
00
00
10
10
00
01
00
00
01
11
00
10
00
10
00
01
10
00
01
11
00
01
01
10
10
00
00
01
10
10
10
10
10
10
01
00
00
10
10
00
00
00
10
01
10
11
00
10
00
10
11
11
01
01
01
00
10
10
00
01
10
10
10
01
00
01
01
11
11
10
00
10
00
00
11
00
00
00
10
10
10
00
10
00
00
10
11
00
01
01
11
00
01
00
11
01
01
11
11
00
01
01
00
10
10
00
00
01
00
10
10
10
01
10
00
11
10
01
00
00
01
11
10
10
11
00
11
00
01
11
11
01
01
11
10
10
10
00
01
10
00
10
10
10
01
10
01
00
10
10
00
10
00
01
00
00
01
11
11
11
10
01
11
10
01
01
11
10
10
00
10
10
01
00
00
10
10
00
00
00
00
11
01
01
11
01
10
11
00
01
10
01
00
10
10
00
00
00
01
11
10
10
00
10
10
10
11
00
01
11
10
10
00
01
00
10
10
00
01
01
00
10
10
10
10
00
11
10
11
10
10
10
11
10
00
01
11
00
11
00
01
00
00
10
10
11
00
11
10
11
01
10
10
01
10
10
10
00
00
10
10
00
00
11
11
10
00
10
00
10
00
11
11
01
00
00
10
10
01
01
10
10
00
01
10
11
10
11
00
00
00
00
00
10
00
00
11
10
00
01
11
10
11
10
11
01
01
01
11
10
00
10
11
00
00
11
10
01
01
01
00
11
10
10
01
00
11
10
00
00
00
10
10
10
10
01
01
11
01
11
00
11
00
11
00
00
10
11
01
00
10
10
10
00
00
11
00
11
10
10
10
00
10
01
10
01
01
01
11
10
10
10
00
10
10
00
00
10
10
11
10
10
10
10
11
00
01
10
10
11
10
10
00
10
00
00
00
00
01
10
10
00
10
10
01
10
10
00
10
00
10
10
11
00
10
00
10
10
00
00
10
10
00
00
00
10
01
00
11
10
10
00
00
01
01
10
10
11
00
00
10
00
00
10
10
10
11
10
11
00
00
11
00
10
00
00
10
10
10
10
10
11
01
10
01
01
00
11
10
00
10
11
11
00
10
10
11
01
10
11
01
10
10
01
10
11
00
00
11
10
00
00
01
01
00
00
00
10
00
11
00
00
11
01
10
01
00
11
00
11
10
00
01
11
10
11
10
00
11
10
10
00
00
10
10
00
10
00
11
01
10
00
10
11
11
01
10
01
00
01
00
01
01
11
11
00
10
10
10
00
01
10
10
10
01
01
00
00
00
10
10
11
01
00
01
01
00
10
00
01
11
10
11
00
10
01
01
11
00
10
11
10
10
10
10
00
00
01
00
00
10
01
00
00
01
10
01
10
00
01
10
11
10
10
00
01
11
10
00
11
01
11
00
00
10
10
00
00
11
10
00
01
01
00
10
00
01
10
10
01
10
11
00
11
00
01
10
01
01
10
00
11
00
10
10
01
00
11
00
10
00
10
11
10
00
10
01
00
10
10
01
01
11
11
01
00
11
00
00
00
00
01
10
10
00
00
11
00
00
10
11
00
10
01
00
01
10
00
10
10
00
10
00
10
10
01
10
10
10
00
10
01
00
11
01
10
01
00
10
10
11
10
00
00
10
10
10
00
11
11
00
01
10
00
10
11
01
00
11
10
00
00
10
01
01
11
11
00
00
00
11
01
00
10
10
00
10
01
00
11
10
10
00
10
10
00
11
10
00
01
00
01
10
00
01
00
01
10
10
00
11
11
01
01
10
11
01
00
10
10
00
01
10
11
01
00
00
00
11
10
10
01
01
11
00
01
10
10
01
00
10
11
00
00
10
10
00
00
10
11
11
10
11
00
00
10
10
10
01
10
10
10
10
00
00
01
11
00
11
00
01
10
00
00
00
10
11
00
00
10
10
01
00
11
01
00
00
01
00
10
00
10
10
01
00
00
10
10
10
10
00
10
10
11
00
10
00
00
10
10
10
10
10
00
01
01
00
00
00
01
00
01
10
00
11
10
11
01
10
10
10
10
10
01
00
10
00
00
10
11
10
01
00
01
01
00
11
10
10
00
00
10
00
11
10
11
01
01
00
10
10
10
10
00
01
10
10
00
00
10
00
10
00
10
01
00
11
10
01
10
10
10
00
00
10
10
00
00
10
00
00
01
00
00
00
00
10
10
11
01
11
11
01
00
01
10
10
10
10
00
00
10
00
00
11
11
01
10
10
10
00
00
00
10
10
11
00
00
01
00
10
00
10
00
01
00
11
11
00
00
10
00
01
10
10
10
00
00
01
10
11
00
00
10
10
10
10
00
00
01
01
00
00
00
10
00
10
00
00
10
10
01
10
11
11
10
00
00
11
10
00
00
10
11
10
10
10
01
00
11
10
00
10
10
00
10
00
00
11
10
00
00
10
10
11
00
01
11
10
11
01
10
10
10
00
00
11
10
00
10
10
10
00
00
10
00
11
00
00
11
10
11
01
10
10
00
01
10
01
00
10
11
11
10
00
01
10
01
00
11
10
10
10
11
11
10
01
00
10
11
11
00
00
10
10
10
01
10
00
01
10
01
11
11
11
00
01
11
01
00
00
10
10
00
01
00
00
10
00
10
01
00
11
01
10
11
10
10
00
10
11
10
01
00
11
10
11
00
11
10
11
11
00
00
00
00
00
10
10
10
00
10
11
00
10
11
00
00
00
11
00
00
10
01
00
00
00
10
01
01
11
01
10
10
10
01
11
10
01
01
10
11
11
11
11
11
01
11
00
01
00
10
10
00
10
00
01
10
01
11
01
10
10
00
01
11
11
01
10
00
00
11
10
00
10
00
10
10
10
11
01
10
01
00
00
10
10
11
10
01
01
00
01
00
11
01
01
10
10
01
00
00
10
00
00
10
01
10
00
11
10
11
01
10
11
00
11
10
10
00
00
10
10
01
01
01
10
11
01
01
11
10
00
00
11
10
10
11
00
00
10
10
00
00
01
00
11
00
01
00
10
11
10
00
01
00
00
10
11
11
10
00
00
01
00
01
10
11
00
01
00
01
00
10
10
00
01
10
10
00
01
11
00
10
11
11
10
10
10
00
10
00
01
00
11
10
11
11
10
11
10
11
00
00
10
10
01
01
10
01
00
00
00
10
10
10
01
00
00
10
10
00
10
10
00
10
10
00
00
10
01
00
01
00
00
10
01
00
00
00
10
00
10
00
00
10
10
11
00
00
00
10
00
11
01
11
01
01
00
10
10
10
01
00
10
11
00
10
00
11
11
10
01
00
00
10
00
00
10
11
01
10
11
10
00
10
11
00
10
10
00
11
10
10
00
10
10
10
00
10
00
10
11
10
00
11
10
11
11
10
10
01
01
11
10
01
00
10
01
10
00
00
10
10
10
10
10
11
10
01
11
00
00
01
00
01
01
11
11
10
00
10
01
00
00
00
10
10
11
11
01
10
11
11
10
10
00
01
00
00
00
10
10
00
10
00
11
10
10
01
10
00
11
10
00
00
10
10
10
10
10
10
10
01
00
00
00
01
00
10
10
00
01
10
00
10
11
00
01
00
10
00
01
11
00
00
00
00
10
01
11
10
00
00
11
11
10
00
10
11
10
10
10
00
00
00
00
11
00
00
11
11
10
11
10
00
00
10
00
10
00
10
10
11
00
00
00
01
11
00
10
10
11
00
10
00
10
01
10
10
00
10
11
00
10
11
01
10
10
00
00
10
00
00
10
00
01
11
10
11
00
11
11
00
00
00
10
11
00
00
10
11
10
11
00
01
00
11
10
10
10
00
10
01
10
10
00
00
10
10
10
10
10
00
00
10
01
11
01
10
00
01
11
10
11
11
00
01
11
10
10
10
00
11
11
01
11
11
00
11
11
01
00
00
10
10
10
00
11
10
10
01
00
00
00
01
10
01
11
00
11
11
10
11
01
00
01
11
00
10
10
01
10
11
11
11
10
10
00
10
00
01
01
11
00
01
00
10
00
11
00
00
10
11
10
11
10
01
00
11
00
01
01
10
00
00
10
10
00
00
00
10
11
10
11
00
10
01
00
10
01
00
10
11
10
11
10
01
00
10
00
10
00
00
00
10
10
00
00
00
00
00
00
10
00
00
00
10
11
00
11
10
10
10
00
00
01
00
10
01
00
00
11
10
01
00
11
00
00
11
00
00
10
01
00
00
00
10
00
11
10
10
10
00
10
10
10
11
11
01
11
11
01
00
10
11
01
00
01
10
10
11
00
00
10
00
00
00
10
11
10
01
10
11
01
10
00
10
10
10
00
00
00
00
01
10
10
11
01
10
10
10
01
01
11
10
01
01
00
10
10
00
00
11
10
01
10
10
00
10
11
00
11
11
01
00
11
10
01
10
11
00
11
11
10
10
00
00
00
11
11
00
00
00
00
10
00
01
10
01
00
01
10
10
00
11
01
10
01
11
01
00
01
00
11
10
00
00
11
11
00
11
10
01
00
10
00
01
01
10
10
01
01
01
11
10
10
00
00
11
00
11
10
00
00
10
00
00
01
10
11
01
00
11
00
10
10
00
00
11
11
00
00
10
10
01
10
01
00
00
10
01
10
00
10
10
10
00
01
10
10
00
01
10
10
10
10
10
10
00
00
00
11
00
01
00
10
00
00
10
10
00
00
00
00
10
00
00
00
10
10
10
00
10
10
01
00
10
00
11
00
00
10
01
10
00
01
11
11
01
00
10
01
11
11
01
01
11
01
00
11
11
00
00
10
11
00
01
10
10
00
00
01
10
10
00
11
00
10
10
10
00
10
11
01
00
10
10
00
00
00
10
10
11
11
01
11
00
10
00
10
00
00
10
10
10
11
01
00
10
01
10
01
10
00
10
10
10
00
10
10
01
11
10
11
00
10
10
01
00
00
00
10
11
10
01
11
11
10
01
10
00
11
10
00
00
10
10
00
10
01
00
10
10
11
10
01
11
11
00
00
11
01
00
10
11
00
10
10
10
10
00
00
01
00
00
10
11
00
10
00
00
01
00
00
10
10
01
01
10
10
11
00
01
01
10
00
01
10
10
11
00
11
11
11
01
10
00
00
00
10
11
00
01
00
00
10
11
10
10
01
01
00
00
10
11
01
00
11
00
01
11
11
10
00
00
01
11
11
00
10
10
10
00
10
00
00
11
01
01
00
10
10
00
10
10
01
00
11
10
10
11
10
00
11
10
00
10
10
01
00
10
11
01
11
01
01
10
00
11
10
11
01
01
10
11
10
00
00
00
11
01
00
10
00
11
01
00
11
01
00
10
00
10
11
00
00
10
11
11
10
00
01
00
10
11
10
00
11
00
10
10
01
10
10
01
00
00
00
10
11
00
00
10
00
00
10
10
00
01
01
00
00
10
10
01
10
00
00
10
11
11
00
11
11
01
10
11
00
00
00
00
10
11
00
01
11
10
01
00
00
01
01
11
10
01
00
00
00
01
10
00
01
10
10
00
10
01
10
01
00
00
00
10
01
01
11
11
00
00
10
10
10
00
01
10
11
10
10
10
11
01
01
10
10
11
00
10
00
11
10
10
00
01
10
00
10
11
11
10
00
01
00
10
10
00
00
00
10
10
10
00
01
11
10
10
00
01
10
10
10
01
00
10
11
11
10
01
00
00
11
11
10
11
01
01
11
10
10
11
00
01
10
10
10
00
10
00
10
00
01
10
11
11
01
10
10
10
10
00
10
00
00
01
01
00
10
00
01
10
10
10
10
00
10
10
00
01
10
01
10
00
01
10
10
00
10
10
11
00
00
10
00
11
10
00
00
01
10
10
01
00
00
11
11
00
00
00
10
00
00
10
10
01
10
11
10
10
00
01
01
01
01
11
10
00
10
10
00
00
10
00
01
01
00
00
00
11
01
01
10
10
01
11
00
10
11
00
11
10
00
01
01
00
00
11
01
01
01
00
11
10
00
00
10
11
11
00
00
00
10
11
10
00
00
10
11
10
01
10
10
00
00
00
01
10
11
00
11
01
00
01
10
10
00
10
00
10
01
10
11
00
00
00
10
01
10
00
00
01
10
11
11
11
11
10
11
00
00
10
01
01
10
00
10
10
00
10
00
00
10
00
10
10
11
10
10
01
00
01
10
11
00
00
11
01
10
11
10
10
11
01
01
00
00
01
10
11
11
11
00
01
10
00
00
11
00
10
10
11
01
00
01
00
10
11
10
10
01
10
00
00
10
00
11
00
10
11
10
11
00
10
00
00
10
00
10
00
00
10
10
00
00
11
10
11
11
10
11
10
10
00
10
10
00
00
00
11
11
10
10
11
11
00
01
10
11
00
01
00
10
00
01
10
11
10
00
00
10
01
00
11
11
00
00
11
00
01
01
10
00
00
11
01
00
10
10
10
00
10
00
00
10
01
10
00
00
10
01
11
00
00
01
00
01
10
10
10
00
00
01
00
11
10
00
00
01
10
10
10
00
00
11
01
00
10
00
00
00
10
10
11
11
00
10
00
10
00
11
11
00
10
00
10
01
01
10
10
01
00
10
00
00
01
11
00
00
01
10
11
10
10
10
10
10
00
10
01
00
10
00
10
00
10
00
11
00
00
00
11
00
01
11
11
11
01
00
10
11
01
00
10
11
01
00
10
00
11
10
00
01
10
00
00
01
00
11
00
01
10
10
10
11
10
00
00
00
10
10
00
10
00
01
01
10
11
01
01
11
00
00
00
10
10
01
10
10
00
00
00
00
00
00
00
11
11
01
01
00
01
00
00
00
00
11
11
00
00
00
10
10
10
11
01
00
11
01
11
10
10
00
01
01
11
00
11
10
01
10
01
10
01
00
10
10
01
01
10
01
00
11
00
01
10
00
01
00
11
01
01
10
00
00
00
00
10
10
00
00
10
00
00
00
11
11
00
00
01
10
10
10
00
01
10
00
01
00
10
11
10
11
00
11
10
11
10
11
01
00
11
01
11
11
00
00
01
11
00
10
10
00
01
10
11
10
00
10
01
11
00
11
10
10
10
00
00
00
10
10
10
00
10
11
10
11
00
00
10
10
10
10
00
00
00
00
01
00
11
11
01
10
11
11
01
11
00
00
10
00
00
10
11
01
00
01
10
10
01
01
01
00
11
10
10
00
01
01
10
00
10
10
11
00
10
00
00
00
00
10
00
00
00
10
00
11
11
00
00
11
01
10
10
00
11
00
10
00
10
11
11
01
11
00
00
00
11
00
11
10
00
11
00
00
10
11
00
10
10
11
10
00
00
00
00
10
01
10
00
00
01
11
10
10
10
11
00
00
11
10
10
10
00
11
00
00
10
00
10
10
11
00
10
10
00
00
11
00
11
00
01
11
10
11
11
10
01
10
00
10
00
00
00
10
10
00
00
11
11
00
10
11
01
10
10
00
00
00
11
00
11
01
11
00
01
10
10
10
00
10
10
00
00
11
10
00
10
01
11
01
00
10
10
00
10
00
00
10
00
10
00
11
11
11
10
00
01
11
11
00
10
11
10
10
00
00
11
11
10
00
11
10
00
11
00
10
10
01
00
10
00
11
10
00
11
10
00
11
01
00
10
10
00
00
01
11
10
00
10
10
00
10
10
00
00
10
10
01
00
10
01
10
00
10
01
00
10
00
00
01
10
11
00
01
10
10
00
00
10
10
10
10
11
01
00
01
01
10
10
00
00
00
00
10
10
00
11
10
10
00
10
10
00
01
00
00
11
00
10
01
00
01
11
00
10
00
10
11
01
00
11
11
10
01
00
10
00
10
10
00
10
11
00
10
01
10
01
11
10
00
11
10
01
10
00
01
10
10
10
00
00
10
11
00
10
11
00
01
10
00
10
00
00
00
00
10
10
00
01
00
01
00
00
10
11
10
10
00
01
00
01
10
10
01
00
10
10
00
10
00
11
00
00
01
01
10
00
10
10
00
01
01
10
10
10
00
00
11
01
00
10
11
00
00
01
10
00
10
10
10
00
00
01
10
00
00
01
00
11
11
00
11
10
01
00
01
10
00
11
11
00
10
00
01
10
10
00
01
01
00
00
11
10
10
00
00
10
01
10
10
00
10
00
11
11
00
00
01
10
11
10
11
00
00
10
10
10
00
10
10
00
00
10
10
10
00
00
10
10
10
00
00
10
10
00
10
00
00
10
11
00
00
00
11
10
00
00
10
11
00
10
01
01
11
11
00
00
11
10
01
00
10
11
10
10
11
00
01
10
10
11
00
10
10
10
00
11
11
00
11
00
10
00
10
11
00
00
11
00
01
10
10
01
00
10
10
00
10
00
10
00
00
10
00
11
00
00
10
00
10
11
01
00
00
10
11
11
10
00
10
10
00
10
00
00
11
10
11
11
00
01
11
00
10
10
01
01
10
01
00
00
11
01
01
00
00
10
10
01
10
10
11
11
11
00
00
11
10
11
01
11
11
00
00
00
00
10
00
00
10
00
01
11
10
01
10
10
11
00
01
10
11
00
11
11
01
00
10
10
00
10
11
10
01
10
01
00
01
00
10
10
01
00
10
10
00
00
10
00
00
10
11
01
00
10
00
11
10
10
00
00
10
11
10
10
11
00
01
00
10
00
10
10
11
11
11
10
00
00
10
00
10
10
11
11
00
10
11
11
11
01
11
00
00
00
01
11
10
00
00
10
00
00
11
00
10
01
00
01
01
10
11
00
00
11
11
00
00
10
01
01
11
00
01
10
01
10
00
00
10
00
11
11
00
10
01
10
00
01
11
00
10
00
11
00
10
11
00
00
01
10
10
10
01
01
11
10
00
11
00
10
10
00
00
10
11
11
11
11
00
00
10
11
00
10
10
11
01
10
11
00
11
10
10
11
00
00
01
00
10
10
10
00
10
10
00
10
10
00
00
10
10
01
00
00
00
11
00
10
10
10
10
10
00
00
10
10
01
01
00
10
01
01
10
00
10
00
00
10
00
01
11
11
01
00
10
10
10
00
01
10
01
00
10
00
00
10
11
00
00
00
11
10
11
01
10
10
11
11
01
00
10
11
00
01
01
00
10
10
01
11
01
00
11
10
01
00
10
11
01
11
00
00
11
11
00
11
00
00
10
00
00
00
10
10
00
10
11
00
11
00
00
00
10
10
10
10
00
10
00
10
10
11
10
10
01
10
10
11
10
00
11
11
10
01
01
10
00
11
00
11
11
00
00
10
01
00
11
10
11
00
11
10
10
10
00
00
00
11
10
00
00
10
01
01
10
10
10
01
10
11
00
00
11
10
00
10
11
00
00
10
11
00
00
00
00
10
00
00
10
11
01
10
01
10
10
10
00
00
11
10
00
01
00
10
10
10
10
10
00
00
00
00
01
11
00
11
00
01
10
11
01
10
10
01
10
10
01
01
11
11
01
10
10
10
10
10
00
00
10
01
10
00
00
10
00
10
01
10
01
11
00
00
11
01
01
10
11
11
00
00
01
11
10
00
01
11
10
00
00
01
00
10
11
10
01
00
11
00
11
10
00
00
11
00
00
10
01
10
10
11
00
01
10
00
11
01
00
10
11
01
01
10
01
00
10
11
00
10
11
11
01
10
00
10
00
00
10
10
10
10
10
00
01
00
00
00
11
00
00
00
01
00
10
10
00
11
00
00
00
00
11
00
10
10
10
10
11
00
00
00
10
10
00
00
00
00
10
10
00
00
10
10
00
00
01
10
10
00
10
01
00
01
10
01
10
11
01
01
00
00
11
10
10
00
00
11
01
00
10
10
10
10
00
01
10
11
10
11
00
00
11
10
10
10
10
00
10
00
01
00
00
10
10
00
10
00
10
11
01
10
00
00
00
00
10
11
11
00
01
00
10
10
00
01
01
01
11
10
10
01
00
10
01
00
00
01
10
11
10
11
00
00
10
00
01
11
01
01
11
10
00
11
01
01
10
11
00
10
10
00
10
10
00
00
00
10
10
11
10
00
00
00
10
10
01
00
10
10
10
11
01
10
11
01
01
10
00
10
10
00
00
01
10
00
00
10
00
01
01
10
00
00
10
11
00
11
10
11
10
00
00
00
01
10
00
00
01
11
10
00
00
10
11
10
00
11
00
00
00
01
00
00
10
01
01
01
11
10
10
10
00
00
00
11
10
00
11
11
00
11
00
11
00
00
00
10
10
10
10
00
10
00
10
00
01
10
10
01
00
00
11
00
01
11
10
00
00
10
10
10
00
10
00
00
10
11
00
01
00
01
01
11
11
10
01
11
11
00
10
10
00
00
10
10
01
01
01
01
11
00
00
10
11
10
01
00
10
11
10
00
01
11
00
00
11
11
11
00
01
00
10
11
10
11
00
11
11
11
10
01
10
11
00
01
00
00
00
00
00
00
00
10
11
01
00
00
10
00
01
11
00
10
10
10
10
00
10
01
10
11
10
01
00
00
10
01
11
10
11
00
00
10
00
10
00
00
10
10
00
10
10
00
10
10
10
01
00
10
10
00
11
01
00
10
00
00
10
00
00
10
11
00
10
00
10
10
11
10
01
01
10
10
10
00
11
00
01
11
00
10
10
10
00
00
10
10
00
10
11
00
01
00
10
01
00
01
10
10
01
00
11
00
10
10
11
10
01
00
01
00
11
10
00
10
10
00
11
00
00
00
00
10
10
01
10
11
01
10
10
10
10
00
01
11
00
00
01
10
11
00
10
00
10
10
00
10
00
11
01
10
01
01
00
00
00
11
10
00
00
01
11
11
00
11
10
00
10
00
10
10
01
10
01
00
11
01
11
00
00
01
10
10
00
00
10
00
00
11
11
11
01
10
00
10
11
01
01
11
10
00
01
00
11
10
00
00
00
10
01
11
10
00
10
11
00
10
10
01
00
00
00
11
00
01
01
00
11
00
10
10
10
00
10
00
00
00
11
11
00
10
00
00
10
00
10
10
00
00
00
10
10
10
01
11
00
00
00
01
11
10
10
00
10
10
01
11
00
10
00
10
10
00
10
01
00
01
00
10
10
11
11
00
00
11
10
11
00
00
00
10
10
11
00
00
00
10
10
01
10
00
01
10
00
11
01
10
10
11
11
11
00
01
11
10
01
11
00
00
10
11
11
10
10
10
10
10
00
01
01
10
00
11
11
10
00
00
00
00
01
10
10
01
10
10
11
10
10
01
10
00
00
10
10
00
11
10
01
01
10
00
00
10
00
00
01
10
00
01
00
10
00
10
00
01
10
10
10
00
01
10
00
10
10
00
00
01
10
01
11
01
11
01
00
00
00
10
10
10
01
00
11
10
00
01
01
00
10
00
00
10
10
10
01
11
00
10
10
00
10
00
00
10
10
11
10
10
11
11
11
01
00
11
00
00
00
00
00
01
11
10
10
10
11
00
11
10
01
01
11
00
01
10
00
00
11
11
10
10
01
01
00
01
01
00
00
01
01
01
11
10
00
01
10
01
00
10
11
00
01
10
01
10
00
01
00
01
10
01
00
01
10
10
11
01
11
11
01
01
00
11
10
00
00
10
10
00
01
10
00
00
10
10
10
10
00
10
11
00
00
01
10
11
00
10
00
10
10
01
00
00
01
10
10
01
11
11
01
00
10
10
00
01
10
11
00
01
01
01
00
00
10
10
11
10
00
10
10
01
00
00
10
00
00
11
11
00
10
11
10
00
00
10
01
11
10
01
01
11
00
00
00
10
10
00
00
10
11
11
00
00
11
00
10
10
11
01
00
11
00
00
00
11
10
00
00
10
10
00
00
10
10
01
11
01
00
10
00
10
01
10
00
01
00
10
10
00
10
10
00
00
00
10
10
10
10
00
11
11
01
01
10
11
01
00
10
00
00
00
01
10
11
10
10
11
11
01
01
01
10
10
01
01
11
00
00
10
10
10
01
00
11
10
11
01
10
10
01
11
10
00
01
11
10
10
01
00
10
00
00
00
10
10
10
11
01
00
11
00
10
01
01
11
10
11
00
00
10
00
10
11
00
00
10
10
11
00
00
00
01
10
00
10
10
10
00
11
00
10
10
10
11
00
10
00
10
00
01
10
00
00
10
01
11
10
00
10
01
11
01
10
11
10
00
11
11
11
01
00
11
00
10
10
00
00
10
00
10
00
00
01
00
10
11
00
01
00
01
00
01
10
10
00
00
10
10
00
10
00
00
10
01
01
00
00
11
10
00
11
00
01
11
00
01
10
10
00
00
10
10
10
01
00
00
11
10
00
01
01
10
10
00
10
00
10
10
00
11
10
00
10
00
11
01
01
10
10
00
10
00
00
00
10
00
10
00
10
00
01
00
10
10
00
00
00
10
10
11
00
00
11
00
10
01
01
01
01
10
10
10
10
01
00
10
00
01
00
00
00
10
00
10
01
00
10
10
01
10
10
11
00
10
10
00
01
10
10
10
00
11
00
00
10
10
00
00
11
10
10
01
10
00
10
00
10
01
01
11
10
00
01
00
00
10
10
01
10
01
10
00
01
11
11
10
00
00
10
10
00
10
10
00
00
11
00
10
10
01
00
00
01
10
01
10
00
11
00
01
00
10
10
00
00
01
10
10
11
00
00
00
11
01
01
10
00
11
00
10
10
11
01
00
11
10
11
01
00
11
00
01
11
10
01
10
11
00
01
10
10
10
01
11
01
00
10
11
00
11
11
00
00
00
10
11
00
00
00
00
01
11
10
00
01
11
10
10
01
11
00
10
11
00
00
10
00
11
00
00
10
10
01
10
10
00
11
10
10
10
01
00
01
10
10
00
10
01
00
10
11
01
00
11
00
11
00
11
00
00
11
11
11
00
01
11
11
00
10
10
00
00
10
00
00
01
00
00
10
11
10
10
11
10
00
00
10
00
01
01
11
01
00
01
00
00
00
10
11
01
11
11
10
10
10
00
10
11
00
01
00
10
00
10
10
11
10
00
00
00
11
10
01
00
10
10
11
11
11
11
00
10
11
11
00
01
10
10
11
10
00
10
10
00
10
11
01
01
01
00
10
10
11
01
01
00
10
10
11
00
01
00
11
10
10
00
00
10
11
01
00
11
10
10
00
10
00
00
11
10
00
00
10
11
10
10
00
11
01
00
10
10
10
01
01
00
11
00
00
10
10
01
01
11
11
00
10
10
11
00
01
10
11
10
10
00
11
11
10
00
11
10
00
10
00
10
01
00
10
10
10
11
11
00
01
00
00
00
00
10
10
01
00
10
00
10
00
00
11
10
00
01
11
01
00
10
00
11
10
00
00
10
00
10
10
10
10
01
01
00
11
00
11
01
10
00
00
10
10
10
00
10
01
00
10
10
00
00
11
11
00
00
11
10
10
00
00
11
11
11
00
10
11
10
10
01
10
11
10
01
00
01
01
10
10
00
11
10
00
01
10
11
01
10
11
10
10
00
00
10
11
10
01
01
10
00
00
10
00
00
10
11
00
00
11
10
00
01
00
10
01
10
11
00
00
01
00
10
10
10
01
01
00
00
00
10
00
11
10
00
00
11
01
11
01
10
00
00
00
00
10
10
00
00
11
10
01
00
10
10
10
10
10
11
00
11
11
00
00
11
00
00
00
11
00
10
00
10
10
10
11
00
00
10
10
10
01
00
11
11
01
11
10
01
01
10
00
00
10
10
00
00
10
10
01
10
00
11
00
01
11
00
00
10
10
00
10
10
10
00
01
01
00
01
01
01
00
00
00
01
10
00
10
10
10
00
01
10
00
10
00
00
10
10
10
00
10
00
00
10
00
00
01
00
01
00
00
10
10
00
00
01
10
00
11
11
00
00
10
01
00
10
11
00
11
10
00
10
00
00
10
11
00
00
10
10
11
01
01
10
10
00
00
00
11
10
00
00
11
00
01
01
00
10
10
00
10
10
01
10
10
00
00
01
00
10
10
10
00
00
00
00
00
10
10
10
01
10
00
10
00
01
10
01
01
10
00
10
10
01
00
11
11
10
10
01
01
11
01
11
10
01
00
10
10
01
01
10
00
10
11
10
10
00
00
10
11
00
00
11
01
01
01
10
00
01
10
11
10
00
01
01
10
01
11
10
11
10
11
11
01
10
01
00
10
10
00
01
10
00
00
00
00
10
11
10
01
11
10
01
10
00
00
10
10
00
11
10
10
01
10
11
00
01
10
00
10
10
10
01
00
10
10
01
00
10
00
11
00
01
01
10
10
10
10
10
10
00
10
01
11
01
00
00
01
01
10
10
00
00
10
11
00
00
00
10
11
11
10
11
10
01
11
01
00
00
00
10
01
00
01
10
11
10
00
10
11
00
00
01
10
10
01
10
00
10
00
01
00
11
00
10
11
00
10
10
01
00
00
01
01
00
10
10
11
10
01
11
11
10
10
10
00
00
10
10
00
01
10
01
00
01
00
10
10
00
10
10
00
00
01
01
00
10
11
01
11
01
10
11
10
00
00
01
10
10
00
00
10
10
00
01
11
00
00
10
01
00
00
11
11
01
00
00
00
00
01
10
11
01
10
10
10
01
11
11
10
00
00
10
10
01
01
10
10
11
11
10
10
01
10
10
11
00
01
01
00
00
10
11
11
00
11
10
10
11
00
00
01
10
10
00
01
10
10
00
01
11
00
01
10
01
01
10
00
00
00
11
00
11
11
11
00
00
11
10
01
00
10
00
00
00
01
10
10
11
01
00
00
10
00
00
11
00
10
01
10
10
01
00
01
00
10
01
00
10
01
11
10
00
10
01
01
11
11
00
01
01
11
00
00
10
10
10
01
10
10
10
00
11
00
01
10
10
10
00
00
00
00
10
01
01
10
00
10
00
01
10
00
00
11
10
00
00
10
00
00
01
00
00
00
11
10
01
10
00
11
11
10
10
10
00
11
11
00
11
11
10
01
10
01
00
01
10
00
01
10
00
01
10
10
10
01
01
10
11
00
11
00
00
11
11
00
01
00
10
11
01
11
00
00
10
00
01
00
10
10
10
11
00
00
01
10
00
00
11
10
10
10
00
00
00
00
00
00
10
01
10
00
10
10
00
00
00
11
01
11
11
01
01
00
00
01
00
10
10
10
01
11
01
00
00
00
11
01
10
11
01
00
10
11
01
01
10
10
01
01
01
00
00
00
01
00
01
11
11
00
11
00
00
11
10
10
10
00
00
01
00
00
10
11
10
01
00
10
10
01
10
11
00
10
00
00
01
01
10
10
10
00
00
00
11
11
00
00
01
10
11
01
01
11
00
10
10
10
00
10
00
00
10
10
01
00
11
00
11
10
01
11
11
10
00
00
00
00
10
10
00
01
11
10
00
10
01
00
10
10
01
10
11
00
01
00
10
10
10
01
10
00
01
10
11
00
11
00
00
10
10
00
00
00
00
00
10
01
01
10
01
00
00
00
11
10
10
11
01
01
00
10
10
00
00
00
11
10
10
11
00
00
11
00
01
01
10
10
11
00
00
10
10
10
00
00
11
11
10
01
10
01
00
11
01
10
10
01
10
10
10
01
00
11
10
00
10
10
10
00
10
11
00
00
11
10
11
10
11
00
11
00
00
00
10
10
01
00
00
11
10
01
10
00
00
10
10
10
10
00
01
01
10
00
11
01
01
01
10
10
10
00
01
10
01
00
10
01
10
11
11
10
00
00
10
10
11
10
10
10
01
00
10
01
10
01
01
00
01
01
00
11
00
10
00
00
10
10
10
11
01
00
11
10
11
11
00
10
00
00
11
00
01
10
00
00
00
10
00
10
10
11
11
00
00
10
01
00
00
00
11
10
00
00
11
10
01
10
11
00
01
00
10
11
00
00
10
01
01
10
11
01
10
00
00
10
10
00
01
00
01
10
10
10
10
10
10
10
01
00
11
00
11
00
00
10
11
10
00
01
10
10
01
01
01
10
00
10
00
00
01
00
10
11
00
10
10
00
01
11
01
00
10
11
10
10
00
00
11
11
10
10
11
11
00
00
10
01
01
10
00
01
10
00
10
00
11
10
00
11
11
11
00
00
10
00
10
10
00
01
00
11
10
10
10
00
11
10
00
11
10
01
10
00
01
00
00
10
00
01
10
00
10
00
00
00
00
11
10
11
10
00
11
10
11
01
10
10
10
00
10
01
00
10
00
01
11
01
01
00
10
10
00
01
00
00
11
00
00
11
11
01
00
10
10
10
11
01
00
10
01
00
00
10
00
11
10
01
00
10
01
00
11
10
00
01
01
10
11
10
00
01
10
10
11
00
00
01
10
00
10
00
00
00
01
10
11
00
01
11
10
00
10
10
10
10
00
00
00
10
11
00
11
11
10
11
00
10
10
10
01
01
10
10
11
10
00
10
00
11
10
00
00
10
11
10
10
00
01
11
10
01
00
10
10
10
00
11
11
01
10
00
10
00
00
10
10
00
11
10
10
01
00
10
01
11
11
01
00
10
00
00
00
00
10
00
10
00
10
01
10
10
11
11
00
10
00
10
10
00
01
01
11
10
10
01
11
00
01
10
11
10
00
01
01
01
10
11
00
00
10
10
10
00
00
11
10
00
10
00
11
10
00
00
10
00
10
00
10
00
10
11
11
10
00
01
10
01
00
00
11
10
00
00
10
10
11
10
11
00
10
10
10
11
00
01
10
10
00
00
10
10
11
11
00
01
10
00
10
11
01
10
10
00
10
10
10
11
00
00
01
00
00
10
00
00
10
10
10
00
01
11
11
01
10
00
01
00
10
10
00
00
00
00
11
10
10
11
00
01
01
11
01
00
00
01
11
10
01
01
10
11
01
00
01
11
10
10
00
00
11
10
00
00
10
11
00
01
10
10
00
00
11
00
01
10
10
10
10
01
00
01
10
10
10
00
10
10
11
01
01
01
11
11
01
10
00
00
01
11
10
10
01
10
00
10
11
10
10
00
01
00
10
10
00
00
11
10
00
00
00
10
10
10
00
10
10
00
11
10
10
00
11
00
01
11
10
11
10
10
01
10
10
00
00
00
01
01
10
10
01
11
11
00
00
01
11
00
00
10
10
00
01
10
10
01
00
01
00
01
00
11
01
01
10
11
00
01
00
01
10
11
00
01
11
11
10
00
01
01
00
00
10
11
10
01
01
01
10
00
11
10
10
10
00
00
01
10
11
00
11
00
01
01
00
11
10
10
11
00
10
00
00
11
10
10
11
00
10
11
10
10
00
10
00
00
11
10
00
00
10
10
01
00
11
11
00
01
10
00
10
11
00
00
10
10
00
00
00
00
11
10
01
00
10
00
10
11
11
11
00
01
10
01
01
10
10
10
10
00
00
00
00
10
00
01
11
00
01
01
11
00
01
10
10
00
01
00
10
01
01
11
01
01
10
00
00
00
10
10
00
01
01
11
00
01
10
10
00
10
00
01
10
10
00
00
10
11
10
10
10
00
01
11
00
00
11
01
01
01
01
11
11
10
01
10
10
01
11
10
01
10
10
01
10
00
01
00
10
10
00
01
00
00
10
10
10
00
00
11
00
11
00
00
10
00
00
01
11
10
00
01
01
10
01
11
01
10
00
10
10
10
00
10
11
10
10
00
00
11
00
00
00
11
11
10
00
00
00
00
11
01
00
10
00
01
00
01
10
00
10
00
00
10
10
01
11
10
00
00
00
00
00
10
00
00
10
01
00
10
00
10
01
11
11
01
00
01
10
00
00
10
10
11
00
01
10
10
01
00
01
11
11
10
00
01
00
01
01
00
11
10
00
10
10
00
00
00
10
01
10
00
01
10
10
10
01
10
10
11
01
10
01
00
10
00
00
00
10
10
00
10
01
11
00
10
10
00
00
10
00
01
00
01
10
00
01
10
10
01
00
10
00
10
11
00
10
00
10
11
00
00
00
00
00
00
00
10
11
00
00
10
11
10
11
01
10
10
10
01
11
00
00
10
00
00
01
10
11
11
01
11
10
01
00
11
00
00
10
11
10
01
00
11
00
00
00
11
00
01
11
10
10
11
01
00
10
11
11
10
11
11
00
00
10
11
00
01
01
10
00
10
01
01
11
10
00
10
10
10
10
00
10
11
01
00
10
11
10
00
11
11
00
00
11
00
01
00
11
10
11
11
00
00
10
00
00
11
01
01
00
00
10
00
10
10
00
00
10
00
01
00
10
10
00
01
11
11
11
10
00
11
00
01
00
00
10
01
00
11
00
00
10
00
00
01
10
10
00
00
00
11
01
00
00
10
10
00
01
11
10
10
00
00
10
01
01
00
11
10
01
10
11
10
10
10
00
01
10
01
01
00
10
00
01
10
10
01
11
01
11
11
01
10
01
00
11
11
00
10
10
01
11
10
01
01
10
10
10
10
01
01
10
00
01
10
10
01
00
11
11
10
10
01
10
11
01
00
01
10
01
10
11
10
00
00
00
00
11
10
10
00
11
01
01
10
10
10
00
11
00
10
00
00
11
00
00
10
01
11
10
00
01
10
10
00
11
10
00
01
00
10
11
01
00
00
00
01
01
11
10
11
10
10
01
10
00
00
10
10
01
10
00
00
11
01
11
11
01
00
10
00
00
10
10
10
01
00
01
00
01
00
10
00
11
11
00
00
10
00
00
10
00
00
10
10
10
10
00
00
10
00
00
00
00
01
00
10
11
00
00
01
00
10
00
01
10
10
01
01
11
11
10
11
00
00
11
10
00
00
00
10
11
01
01
11
10
11
00
10
00
00
10
00
00
10
10
11
10
01
00
10
00
01
00
10
00
10
11
11
01
10
10
00
00
10
00
11
10
00
01
00
10
11
00
00
10
10
10
10
01
10
11
00
00
00
10
10
00
01
10
11
00
10
10
10
10
00
01
11
01
01
10
10
00
00
10
11
10
01
01
00
11
01
11
00
00
10
10
00
01
01
10
01
00
00
10
11
10
10
10
00
10
10
01
11
00
01
00
01
10
10
00
01
10
10
11
01
00
10
00
10
01
01
00
11
01
00
01
00
10
11
10
01
00
00
10
00
00
10
00
01
10
00
11
01
00
10
00
11
10
01
01
10
10
11
00
10
11
00
00
00
10
01
11
10
10
10
10
00
11
10
10
10
00
01
10
01
10
00
00
10
01
11
10
10
00
10
10
10
00
00
10
11
00
10
01
10
00
10
00
00
10
10
10
10
10
01
11
00
10
01
10
11
00
10
10
00
10
01
00
10
01
10
10
11
10
01
01
10
00
01
00
11
11
00
10
10
01
11
00
01
10
00
00
00
01
10
11
00
00
01
00
10
10
00
00
10
00
10
11
00
00
10
11
10
00
10
00
10
10
00
10
00
00
01
00
00
01
00
10
10
00
10
11
00
10
10
10
00
10
00
00
01
10
10
00
01
11
10
10
10
10
10
01
10
10
00
00
00
11
11
10
00
10
00
10
11
01
00
00
01
00
01
00
00
10
01
10
00
00
10
10
00
00
10
11
10
10
11
00
11
10
00
11
10
00
00
10
11
00
01
00
01
10
00
10
11
11
01
00
01
11
11
10
01
01
11
00
00
10
00
11
10
00
00
01
10
01
11
00
00
10
10
00
00
10
10
00
00
00
11
10
11
00
10
10
10
00
01
11
10
10
00
00
01
00
10
10
11
10
11
00
10
00
10
10
00
01
10
00
01
00
10
11
00
01
00
10
11
01
00
00
10
10
00
10
01
10
11
01
11
10
10
00
00
10
10
10
00
01
00
11
01
11
10
01
11
10
11
10
11
00
00
00
11
00
11
00
00
00
00
01
00
00
00
00
11
11
10
11
11
01
10
10
00
01
01
10
01
00
01
10
10
00
10
01
00
01
10
10
10
10
01
00
11
11
01
00
00
00
00
00
10
11
00
00
00
10
10
11
10
01
00
11
00
00
11
00
10
10
00
00
01
10
01
10
11
10
11
00
01
11
10
00
01
00
10
01
00
10
10
01
11
01
10
00
00
11
00
00
11
11
00
01
10
11
11
00
01
00
10
10
10
01
10
10
01
01
10
10
10
11
00
10
11
00
01
10
00
00
00
11
00
00
10
00
01
11
01
10
10
00
00
00
11
00
00
10
10
01
01
10
00
10
10
01
10
10
10
00
01
00
01
00
10
11
10
10
00
10
11
00
01
01
10
10
10
10
00
00
10
10
01
10
10
00
00
10
00
01
01
10
10
10
10
00
11
11
11
01
00
10
00
11
00
10
10
10
01
10
00
01
01
11
11
10
00
00
10
10
00
00
10
10
10
00
10
11
11
00
00
00
00
10
10
00
00
01
00
10
00
10
00
00
11
01
10
10
10
10
10
00
01
10
00
00
11
10
11
10
00
11
10
00
01
00
01
00
00
10
01
11
10
01
00
00
00
11
10
00
00
11
00
00
01
00
01
01
10
11
10
10
10
00
01
10
10
01
11
11
10
01
10
10
00
00
00
00
10
10
11
00
01
00
10
00
00
00
10
00
00
01
11
10
00
00
10
00
11
11
10
10
00
11
10
10
00
01
00
11
10
00
00
01
10
01
01
11
01
11
11
11
01
00
01
00
11
10
00
10
10
00
10
10
00
10
10
00
00
11
00
11
10
01
00
10
11
00
10
10
11
10
01
01
10
11
00
10
00
10
11
01
01
10
00
00
00
00
10
00
11
10
10
01
00
10
10
11
00
01
10
10
10
10
00
00
11
00
00
00
01
00
10
10
01
00
00
00
00
01
11
01
00
10
10
00
01
11
00
00
10
00
01
11
00
11
00
01
11
00
00
11
10
10
10
00
00
10
10
00
10
10
11
01
00
11
11
11
01
10
10
11
01
01
01
11
10
11
00
10
10
00
00
10
01
10
11
01
00
10
01
00
11
10
01
01
01
11
10
01
00
00
00
11
10
00
10
11
00
00
10
10
10
01
10
11
00
10
11
10
00
11
01
00
01
01
10
00
00
11
10
01
01
10
11
00
11
10
10
01
10
10
11
11
01
10
10
00
10
00
00
00
10
10
00
00
00
10
11
10
10
10
11
11
11
10
00
10
10
10
00
00
10
00
01
00
10
10
10
01
10
10
01
00
10
00
00
10
10
10
00
01
10
00
11
00
10
01
11
10
00
01
10
01
00
01
10
01
10
10
01
00
11
10
00
00
01
00
10
11
10
11
00
00
10
10
00
11
00
01
11
00
11
11
00
10
01
10
11
00
00
10
10
00
01
10
11
01
00
11
10
11
10
01
00
01
11
10
10
01
00
10
00
10
10
00
01
10
11
10
00
10
11
10
10
00
10
00
01
00
00
10
10
11
10
00
10
10
11
01
11
01
00
10
10
00
00
01
10
11
00
01
10
11
00
01
10
00
00
01
11
01
10
10
00
11
00
01
10
10
01
10
10
01
10
11
11
10
01
11
00
10
00
11
11
10
00
00
11
10
11
00
10
10
00
00
11
10
00
11
10
10
10
10
10
10
00
01
11
11
10
01
10
01
00
01
00
11
10
10
00
01
00
10
11
00
00
10
11
10
10
10
10
00
00
10
00
00
01
10
10
10
10
00
01
01
10
00
00
10
10
10
01
00
01
10
11
10
10
10
10
01
01
10
10
11
11
10
00
01
11
11
10
00
01
11
00
00
10
10
10
01
00
11
10
00
00
10
11
10
00
00
10
11
11
10
00
11
10
11
00
00
00
00
11
00
11
10
00
10
10
11
10
10
00
11
00
00
00
00
10
11
00
10
11
00
00
11
00
11
10
10
01
00
11
10
10
00
00
00
01
10
00
00
10
00
01
11
10
10
11
00
10
00
00
10
11
11
00
10
11
10
10
10
10
00
01
00
00
10
11
00
00
00
10
00
01
10
11
10
11
00
00
10
01
01
10
10
01
11
10
00
10
10
10
10
00
10
00
00
00
00
01
11
00
01
11
00
10
10
10
00
00
10
11
00
10
10
01
00
01
00
10
10
10
00
00
11
00
00
10
10
01
01
10
10
11
01
10
01
10
10
10
00
00
01
10
01
00
10
01
11
11
01
00
11
10
11
10
11
00
01
10
00
10
01
11
00
11
10
10
00
10
00
10
01
01
10
00
01
10
01
00
01
11
01
01
10
00
10
00
10
11
00
00
00
10
10
01
00
00
10
10
00
01
00
10
00
00
11
01
10
10
01
10
11
00
00
00
11
10
11
10
01
01
10
00
00
10
10
10
00
11
00
00
00
00
10
10
10
01
00
10
10
01
11
01
00
10
00
00
00
00
00
10
01
10
00
11
01
00
11
00
11
00
10
10
01
10
10
10
00
10
10
01
10
11
01
01
10
01
00
11
10
01
00
10
11
11
01
00
00
11
00
00
01
00
11
00
10
01
00
11
00
10
00
01
00
10
00
10
11
10
10
00
00
10
01
00
10
01
01
01
10
10
00
10
10
10
00
00
00
00
10
01
00
11
00
00
11
00
10
00
11
11
10
11
01
00
11
10
00
10
01
10
10
01
01
11
10
11
00
10
11
00
10
10
10
00
11
11
00
00
10
00
10
00
01
10
01
11
11
00
00
00
00
01
10
10
00
00
00
00
10
10
11
00
01
01
10
10
10
01
01
11
10
01
00
11
10
10
10
01
01
10
10
01
10
10
00
01
10
10
01
10
10
00
01
01
00
11
01
10
00
00
10
11
10
00
00
10
10
11
10
01
10
00
00
10
00
00
00
10
00
10
01
00
00
11
11
10
10
00
11
10
00
10
11
10
01
00
00
00
01
11
11
01
10
10
00
00
11
10
01
01
11
01
10
11
11
00
00
00
11
00
01
10
10
00
01
11
00
10
00
00
10
11
00
00
10
10
11
10
10
00
00
11
11
01
01
10
11
10
00
10
11
00
00
00
11
10
10
10
10
10
00
10
00
11
00
11
00
01
11
00
00
11
11
00
00
00
10
10
01
00
00
11
10
10
00
10
10
10
01
00
01
11
01
00
01
01
10
01
00
01
00
01
10
01
10
11
11
01
00
10
01
00
01
11
10
10
10
01
00
01
10
11
10
00
10
00
01
11
10
10
00
11
00
10
10
10
10
10
10
11
00
01
10
11
11
01
01
10
10
00
00
10
00
01
10
11
01
11
11
00
11
00
00
11
10
01
00
00
11
10
01
10
10
10
10
11
00
10
11
10
00
10
11
01
01
00
11
00
00
11
10
10
00
01
10
10
00
00
00
00
10
10
00
10
10
01
01
00
00
11
01
00
00
00
10
10
00
00
11
11
00
11
10
10
00
10
10
11
00
01
00
11
10
01
11
10
11
00
00
11
10
10
00
00
10
11
10
00
11
10
00
11
10
11
10
00
01
00
00
00
00
10
01
00
10
00
10
10
00
00
10
00
00
00
01
10
00
10
01
10
00
11
00
10
00
10
10
11
00
10
11
00
01
00
11
10
10
10
00
10
00
01
11
01
10
01
00
00
10
11
10
00
00
10
01
10
00
11
10
00
00
10
10
00
10
11
10
10
00
11
11
00
10
00
00
10
10
00
01
11
10
10
01
01
10
00
00
10
01
00
00
10
11
11
00
00
11
01
00
00
10
10
00
00
10
11
01
00
00
10
00
10
10
00
10
10
10
10
00
00
00
00
01
01
00
11
10
11
00
10
10
00
10
11
01
01
00
00
11
10
10
11
01
00
01
10
10
00
00
00
11
01
01
01
01
10
10
11
10
01
00
10
10
00
00
10
11
00
01
01
00
00
00
00
10
00
11
11
10
00
11
11
10
10
00
00
00
00
11
10
11
11
11
00
10
00
11
10
01
10
10
01
00
01
11
00
00
11
00
01
11
10
00
00
00
11
00
00
00
10
10
00
10
00
00
00
00
10
10
11
00
01
01
11
00
00
11
00
00
10
10
01
00
11
01
01
10
10
00
00
11
10
01
00
00
10
11
01
11
10
01
00
10
01
01
00
10
00
00
00
11
01
01
10
10
10
10
10
11
10
00
10
00
00
01
10
10
10
10
01
11
01
01
10
01
10
10
01
10
11
00
00
10
01
10
00
11
11
10
01
01
11
00
01
00
01
10
10
00
00
10
00
10
10
01
11
00
01
10
11
00
10
10
10
01
00
11
10
11
00
00
10
11
00
00
10
10
11
00
01
00
10
00
10
10
00
01
01
11
11
00
11
10
00
00
10
11
00
10
10
01
00
10
00
00
00
00
00
00
10
10
00
00
01
10
10
00
00
00
01
10
00
11
00
10
10
10
01
00
11
11
11
01
11
10
01
10
10
00
00
11
11
10
00
10
10
00
11
00
00
11
10
01
00
00
10
10
01
01
00
10
10
11
00
00
11
10
00
00
10
10
01
11
11
00
11
10
00
11
00
01
10
00
00
10
10
11
10
10
01
00
10
10
10
01
10
11
10
01
10
00
10
01
10
11
01
00
10
01
00
01
10
11
10
01
00
10
00
11
10
00
00
10
00
10
10
00
01
10
10
10
11
11
10
00
01
00
00
00
10
00
10
00
00
11
10
11
00
00
00
00
00
10
10
00
10
10
10
10
10
10
11
10
10
10
10
01
11
01
01
00
10
10
11
01
11
10
01
11
00
10
10
00
01
00
10
10
00
00
00
10
10
10
10
00
11
10
01
01
10
10
00
01
11
11
01
00
11
10
01
01
01
11
00
00
11
11
01
10
11
00
01
10
10
00
00
10
10
11
00
00
11
00
11
00
00
10
10
01
11
10
00
11
10
10
01
01
10
11
00
00
01
10
10
11
10
11
10
10
10
10
00
00
10
10
10
01
10
00
00
10
10
00
01
00
10
00
00
00
11
10
11
10
00
00
11
11
10
00
00
10
10
10
10
01
01
10
11
10
11
10
00
11
00
00
10
00
00
10
11
10
01
00
11
11
01
10
00
11
01
00
10
10
11
01
10
10
00
01
10
00
10
11
00
10
10
00
01
00
10
10
00
11
00
11
00
10
00
10
00
00
10
10
11
00
01
11
10
00
10
01
00
00
10
00
00
00
00
01
10
10
00
10
01
11
11
11
10
11
10
00
00
10
10
00
00
01
10
10
00
00
10
11
10
00
00
10
10
11
00
00
01
00
11
00
11
10
10
11
11
00
00
10
10
00
10
00
01
11
10
11
11
10
00
11
01
01
11
10
10
01
10
01
00
11
11
10
00
01
01
10
00
11
10
10
01
00
01
10
10
10
10
01
10
00
01
10
00
10
00
10
10
01
01
00
00
00
00
10
10
00
01
10
10
10
00
01
00
11
10
10
10
10
11
10
01
00
11
10
00
00
01
10
10
00
10
00
01
10
00
00
01
11
11
01
10
10
00
11
00
10
11
01
01
10
01
10
00
11
01
00
10
10
00
01
01
00
10
10
00
00
10
01
11
00
00
00
10
10
01
11
01
10
10
00
11
10
00
00
11
10
00
00
10
00
10
01
01
10
00
00
10
10
00
11
00
11
11
00
10
00
00
00
10
11
00
11
10
11
10
10
01
11
10
00
00
10
10
01
10
10
10
10
11
00
00
11
01
01
10
00
00
00
11
10
10
10
00
00
11
01
11
00
00
01
00
00
00
10
10
10
11
01
01
10
10
01
10
01
10
01
00
10
01
10
01
00
00
11
00
00
11
11
10
01
00
11
01
00
00
00
00
11
11
00
11
10
10
00
01
00
11
10
00
00
01
10
10
11
00
01
01
11
01
10
00
01
11
10
11
00
10
00
10
11
00
10
00
00
10
01
10
10
10
00
01
10
10
00
10
11
00
00
00
10
10
00
00
00
10
01
00
00
10
01
10
00
00
10
11
01
00
10
10
01
00
00
11
00
10
11
10
00
00
10
00
00
10
10
11
10
00
01
00
11
11
00
01
11
10
00
11
10
01
00
00
10
10
00
01
11
00
11
00
11
11
10
01
00
01
10
10
10
00
00
10
10
01
00
10
01
11
11
00
10
00
00
10
10
00
00
10
10
10
10
00
00
11
10
00
01
11
01
00
01
00
10
10
10
00
01
01
11
11
01
00
00
00
10
00
01
10
11
10
10
10
00
01
10
10
00
00
10
00
00
10
00
10
00
10
10
00
01
10
00
00
00
00
10
01
10
10
10
01
00
00
11
00
10
10
00
10
10
10
00
00
10
10
10
01
10
01
00
00
10
10
01
00
11
10
10
00
11
10
00
10
11
00
00
01
10
10
01
00
10
10
00
00
10
00
11
00
01
00
11
10
01
10
00
10
10
10
10
01
00
00
10
11
01
01
00
01
11
11
11
00
00
11
00
01
10
10
01
00
10
10
00
10
10
11
00
11
10
00
10
00
10
10
11
10
01
10
10
00
10
00
10
00
00
10
10
00
00
10
10
00
11
00
00
00
00
11
10
00
10
11
01
00
01
01
00
00
00
10
11
10
01
00
10
00
00
10
10
00
10
10
00
10
01
01
10
01
11
00
00
10
00
00
11
10
10
00
11
00
01
11
11
01
10
10
00
01
10
01
10
10
00
10
00
01
10
10
10
00
10
01
01
10
10
11
11
10
10
01
00
11
00
11
00
01
10
01
01
10
10
10
10
01
01
01
10
00
00
10
10
00
00
11
00
00
11
10
00
10
01
00
10
10
00
11
10
01
01
01
11
00
00
11
10
01
10
11
00
00
10
00
11
11
10
01
10
00
00
01
11
10
00
01
01
00
00
00
10
01
00
11
10
10
00
00
11
10
01
00
11
00
00
10
00
01
11
10
10
00
00
01
10
00
10
00
10
00
11
11
11
11
11
00
01
00
11
11
00
00
10
11
01
01
10
11
11
01
00
01
00
10
10
01
10
10
11
00
10
11
01
00
01
00
00
11
11
10
10
10
01
00
01
00
11
11
00
00
00
00
11
11
01
10
11
01
01
11
00
10
10
00
10
01
11
00
00
00
00
11
01
10
00
10
11
00
01
01
11
01
00
00
00
00
11
10
00
10
00
01
10
00
00
10
01
11
10
01
01
11
11
00
11
10
01
00
11
10
11
00
00
10
00
00
10
01
01
00
10
11
00
10
10
11
00
11
00
01
01
00
00
10
10
01
01
10
10
11
00
00
01
10
00
00
00
10
01
00
10
00
00
00
11
01
01
01
11
10
10
00
11
10
01
01
10
10
00
10
10
11
10
00
00
00
10
10
00
10
11
10
00
11
10
01
01
11
00
00
11
10
01
00
11
10
00
00
00
11
00
11
11
10
00
10
10
10
00
00
01
00
11
10
10
11
10
11
00
00
10
00
10
10
00
00
10
00
00
00
10
00
11
10
11
10
10
10
10
11
01
00
10
00
00
01
10
00
10
10
10
01
11
11
00
01
00
11
00
10
00
00
11
11
00
01
11
10
00
10
10
11
00
00
00
11
01
11
10
11
00
01
11
00
00
01
10
10
00
10
10
00
00
00
00
00
10
10
00
01
00
11
10
11
11
10
11
11
00
01
01
10
10
00
00
00
00
00
11
10
10
01
00
00
00
01
00
11
00
10
01
01
11
00
00
00
00
10
11
10
01
00
00
10
11
00
00
10
11
00
11
01
10
11
10
10
01
10
11
00
00
10
01
10
01
10
10
00
01
10
00
11
10
10
01
00
10
00
01
10
10
01
01
01
00
11
10
00
10
00
10
11
00
01
00
11
00
01
00
11
10
11
10
00
11
10
10
00
00
10
10
01
10
00
01
11
00
01
01
10
00
10
10
11
01
00
00
11
11
00
10
11
00
10
10
00
10
10
10
00
00
01
00
10
00
10
00
10
11
00
00
10
00
00
10
10
10
11
00
11
00
11
10
10
10
00
11
00
00
10
00
11
00
11
00
00
00
10
10
01
00
10
11
10
00
01
01
00
11
00
00
00
00
01
00
11
10
11
01
11
00
00
11
10
10
01
01
01
01
11
10
00
01
10
10
00
10
10
00
11
10
00
01
11
01
00
10
10
10
01
01
00
10
10
01
10
00
01
00
11
10
11
11
00
01
10
10
00
11
10
00
10
10
00
11
10
01
00
10
10
11
00
01
01
11
00
10
11
10
11
00
11
10
01
10
01
00
11
11
00
00
11
01
10
01
00
10
10
00
11
01
00
10
10
10
00
00
11
00
00
10
11
01
00
00
11
00
10
01
01
00
10
10
11
10
00
00
00
11
00
10
00
10
01
00
10
10
00
10
10
00
11
10
00
11
10
10
01
01
10
00
11
10
00
00
10
00
00
00
01
10
10
11
00
00
00
01
10
10
00
10
10
11
00
00
00
01
00
10
00
11
00
00
00
10
00
00
10
11
00
11
00
01
00
01
10
11
11
01
00
10
10
10
11
10
01
01
00
00
11
00
00
00
10
00
10
11
00
10
10
00
00
01
00
10
01
11
10
10
01
01
10
11
00
11
00
00
11
00
00
01
01
10
01
10
00
00
00
01
10
10
00
10
10
01
01
10
01
00
10
00
00
11
01
00
11
01
10
11
10
00
10
10
00
01
11
10
01
10
01
10
00
00
10
00
11
10
00
00
01
00
00
10
10
11
11
01
00
10
00
00
01
00
10
10
10
01
10
10
00
00
10
10
00
00
11
11
01
10
00
00
11
10
10
00
01
00
01
10
11
11
10
01
00
00
11
01
10
11
00
01
10
11
00
00
00
11
00
10
01
10
01
10
10
00
10
00
00
10
10
01
01
11
00
11
10
00
11
00
00
00
01
01
00
11
10
11
00
00
10
00
11
11
00
00
10
10
00
11
01
10
00
01
00
10
00
00
11
00
00
10
01
10
00
01
10
10
01
01
01
00
00
00
10
00
10
01
10
11
00
00
00
10
00
10
01
00
10
11
00
01
10
01
00
11
11
01
00
11
10
10
11
01
10
10
00
01
01
00
11
00
10
10
00
01
11
01
00
10
11
00
00
10
01
00
00
11
10
11
00
00
00
01
00
10
10
10
11
00
00
00
01
00
10
01
10
00
00
10
00
10
10
10
10
00
10
00
11
10
01
10
10
00
01
10
10
11
00
10
01
01
10
00
11
00
00
10
00
11
01
11
10
01
10
10
10
00
00
10
01
00
10
10
00
11
00
00
00
01
10
00
10
10
11
00
10
01
00
10
00
00
10
10
00
00
10
10
10
10
00
11
10
11
01
00
11
11
10
00
01
11
00
10
01
00
01
10
10
11
10
00
11
10
01
10
01
10
11
10
00
10
10
10
00
01
01
00
01
00
10
01
00
10
00
01
10
01
10
10
11
11
01
10
00
11
10
10
00
00
11
10
10
00
00
11
00
00
00
11
10
10
10
00
11
10
10
01
10
00
10
00
01
00
10
10
10
00
10
10
00
11
01
01
01
01
10
10
01
00
00
11
10
00
11
01
01
00
11
01
10
10
10
00
00
00
10
11
00
00
01
10
01
10
10
01
00
11
10
01
00
10
10
00
00
10
10
00
01
01
00
10
11
00
00
10
11
10
00
00
01
01
11
10
00
00
00
10
10
01
10
00
11
10
11
01
00
00
00
00
10
01
00
00
00
10
00
01
10
10
10
10
01
10
01
00
11
00
00
11
11
10
00
10
00
11
00
00
11
10
10
10
00
10
10
00
11
10
11
00
01
00
11
00
00
10
10
10
01
11
00
00
11
00
10
10
00
11
00
11
10
10
10
10
00
10
00
00
10
11
10
10
10
01
00
10
10
00
10
10
10
01
10
10
00
01
10
10
10
10
01
10
00
00
00
01
11
01
01
00
00
11
11
01
01
00
11
00
11
01
10
11
00
00
10
11
10
10
00
00
10
11
00
10
10
10
00
01
10
00
01
00
11
01
11
01
10
11
00
00
10
10
00
01
10
10
01
00
11
00
00
00
00
11
11
10
01
10
10
01
01
11
10
01
00
10
10
00
00
10
10
10
10
10
10
00
10
10
01
10
11
10
00
10
11
00
10
10
00
11
00
00
10
00
00
01
01
11
10
01
00
10
10
00
00
01
10
10
10
00
10
10
01
11
10
01
10
11
01
10
01
00
11
10
00
01
10
10
00
00
10
10
01
10
00
10
10
01
00
10
10
00
11
00
10
11
00
01
10
10
00
11
00
00
10
11
10
11
10
11
10
00
00
00
01
11
00
10
00
00
11
11
00
00
10
10
10
00
10
01
00
00
10
00
01
00
01
11
10
10
00
10
10
10
00
01
11
11
00
10
10
01
11
00
00
11
00
01
00
11
10
00
00
01
00
11
00
01
11
00
00
10
10
01
10
11
01
01
00
00
01
00
10
11
00
00
01
10
00
10
10
10
11
10
10
11
01
00
00
11
10
00
10
10
00
00
10
00
11
11
00
00
10
11
10
10
01
01
10
11
01
00
00
11
00
11
01
01
10
00
00
11
10
10
00
00
10
11
00
10
11
01
10
00
00
10
10
10
00
00
11
10
10
00
00
00
10
10
10
10
00
10
00
00
00
10
00
01
00
11
00
10
10
01
10
11
00
01
10
10
00
00
11
10
01
10
10
11
00
00
11
11
00
10
10
00
00
10
10
00
11
10
00
00
00
01
10
10
00
11
10
00
10
10
00
00
10
10
01
10
10
01
11
11
11
01
10
11
00
11
00
01
10
11
10
01
10
10
00
00
10
10
00
00
00
10
10
00
00
10
11
00
00
00
01
01
11
01
00
11
00
00
10
01
00
10
10
00
10
10
00
10
01
10
10
00
10
10
10
00
11
10
00
10
01
10
01
00
10
00
10
10
01
11
10
00
00
10
11
10
00
00
00
10
00
11
10
10
01
10
10
10
00
11
00
11
10
00
01
00
10
01
10
11
01
00
11
10
01
00
00
10
00
10
11
00
00
01
00
10
01
00
10
10
10
11
01
10
00
11
11
00
00
00
11
00
00
00
01
11
00
00
00
11
10
00
00
11
10
11
10
10
10
10
11
00
10
10
11
00
01
10
11
10
10
00
01
10
11
11
11
01
10
01
00
10
10
00
00
10
01
10
11
10
10
10
01
11
00
10
11
01
00
01
10
10
00
00
01
00
10
11
01
01
10
11
01
00
10
01
10
10
10
01
01
10
10
01
10
00
11
00
10
10
01
00
11
10
01
11
10
00
01
10
10
00
11
10
10
00
11
11
10
01
00
01
00
01
10
10
00
10
11
00
00
01
11
11
10
00
01
01
01
10
00
01
01
10
00
11
10
10
11
00
00
11
10
10
01
01
01
01
11
11
10
10
00
11
10
00
00
00
11
11
10
10
00
10
11
11
00
00
00
10
00
10
10
11
11
00
00
00
11
00
10
11
01
11
11
10
10
01
01
10
10
01
00
11
10
10
11
10
10
01
11
10
00
01
10
00
10
01
00
00
11
11
00
00
01
00
11
01
00
01
00
11
10
00
01
11
01
11
11
10
00
01
10
00
01
10
10
00
00
10
11
01
10
00
00
11
10
10
00
00
10
01
11
10
11
10
00
00
11
11
10
00
00
01
11
00
10
10
00
10
00
00
10
10
00
10
10
00
00
00
11
00
00
00
00
10
00
10
11
11
00
00
10
11
00
10
01
00
11
10
00
10
01
00
10
00
01
11
00
10
10
10
00
00
00
11
10
01
11
00
00
10
10
01
11
11
01
10
10
00
00
00
00
10
10
00
00
11
10
11
00
01
10
00
11
10
01
00
10
11
00
00
10
10
00
10
10
00
01
11
10
10
00
11
01
00
00
11
00
00
01
00
10
00
00
10
11
10
00
00
00
11
01
10
11
10
11
10
10
01
01
10
11
00
00
10
11
10
11
01
01
10
00
00
11
10
00
00
10
00
10
10
00
10
10
00
10
10
11
11
10
00
01
11
10
00
00
10
10
11
10
10
10
10
10
10
10
00
00
00
10
10
10
10
10
10
01
11
11
11
01
00
11
00
10
00
00
10
00
10
10
10
01
00
10
01
10
00
00
10
01
00
10
10
01
10
00
00
11
00
11
11
00
10
10
10
00
00
11
01
11
10
00
10
10
00
00
00
11
11
00
10
10
00
10
01
11
10
10
00
11
00
11
11
10
00
00
00
01
00
01
11
11
10
01
10
11
10
00
01
10
11
00
10
10
10
11
00
10
10
01
10
00
01
11
10
10
00
00
00
01
01
11
00
10
01
10
10
10
01
00
00
00
00
10
11
10
11
00
11
10
00
00
10
11
00
11
00
10
10
10
10
01
10
00
10
10
10
11
00
11
10
00
11
01
10
10
10
00
00
00
10
11
10
00
01
01
00
10
11
00
00
11
00
00
01
00
10
00
00
01
00
11
10
10
10
10
00
00
11
10
11
00
11
10
11
10
00
10
10
00
00
10
11
11
00
00
00
00
10
01
00
11
01
00
00
11
11
00
10
10
10
01
10
10
01
01
00
00
10
00
00
11
10
00
01
01
11
00
10
10
10
01
10
10
01
11
11
11
10
00
00
00
10
00
11
11
00
00
11
00
10
10
00
01
10
10
10
10
11
11
11
10
00
01
11
01
00
01
00
11
10
11
11
00
10
10
00
01
11
10
01
00
00
01
00
00
11
01
00
00
10
10
11
10
10
10
00
10
10
11
11
00
00
11
01
10
11
00
00
10
10
01
10
10
00
01
10
00
11
10
01
01
00
10
01
00
00
01
10
00
10
11
11
10
01
10
00
10
10
00
00
00
10
00
01
11
01
00
00
00
00
10
11
10
00
00
00
10
00
10
11
00
10
10
10
11
00
10
10
11
10
11
11
01
00
11
11
10
00
01
10
10
00
01
10
00
11
01
01
11
10
10
10
00
01
10
10
00
00
00
10
10
10
11
00
00
00
00
01
01
10
10
00
01
10
10
10
00
10
01
00
11
00
01
00
00
11
11
00
01
00
10
10
10
00
10
10
01
01
11
10
11
00
10
10
00
00
10
00
11
10
00
01
01
00
10
10
10
11
00
10
10
00
00
11
00
00
00
00
00
00
00
01
00
11
11
10
01
00
01
10
11
00
01
00
10
00
01
10
10
00
01
11
11
11
10
10
00
00
11
00
10
10
10
01
10
00
00
00
10
00
01
11
00
01
00
00
11
00
11
11
10
00
00
11
00
10
10
11
10
11
00
11
11
10
00
00
11
00
10
01
00
11
00
10
10
11
10
10
00
00
01
10
01
00
10
10
01
01
11
10
01
00
00
11
10
01
10
11
00
00
01
11
00
00
11
10
00
10
10
01
10
10
00
10
10
10
00
00
01
00
10
00
10
10
01
10
10
10
11
00
00
10
01
01
10
00
01
00
00
11
10
10
10
10
00
10
01
00
10
10
01
10
10
10
10
10
01
11
10
00
01
00
10
11
01
10
11
00
00
10
00
00
10
00
01
10
10
11
01
01
01
00
00
10
00
11
11
01
10
10
10
10
01
00
01
10
10
10
01
00
00
01
10
10
10
10
00
10
01
01
00
00
10
01
11
01
00
10
01
00
10
00
00
10
00
11
10
00
10
01
10
10
10
01
10
10
00
10
10
00
11
10
01
11
10
00
00
00
00
10
00
00
11
11
00
11
00
00
10
10
00
10
10
01
10
11
00
00
10
00
10
00
11
11
10
00
11
00
00
01
10
10
10
01
01
10
00
10
10
10
01
00
11
11
10
00
10
00
10
11
00
10
00
01
00
11
00
01
00
01
10
11
10
11
00
01
01
11
00
00
10
11
10
00
00
10
00
00
00
11
10
01
00
11
10
10
11
00
00
01
00
10
10
01
00
01
10
10
00
10
10
10
01
00
11
01
10
10
11
01
10
00
00
10
10
10
00
10
10
00
10
00
10
11
01
11
10
01
10
10
10
00
01
10
01
00
00
10
10
01
01
10
10
01
00
10
10
10
00
00
00
11
11
00
11
01
01
11
11
00
00
00
10
00
11
11
11
10
00
00
00
00
01
00
10
00
11
01
00
00
10
00
10
10
00
01
01
10
10
01
01
10
01
00
11
00
00
10
11
01
01
00
00
10
00
11
10
00
00
00
10
10
10
00
10
10
00
00
10
10
10
10
00
10
10
11
10
00
00
10
01
00
01
00
01
11
10
01
11
00
10
00
00
10
00
11
10
10
01
00
00
00
10
10
00
11
01
00
10
11
10
00
00
10
10
01
11
10
10
01
01
10
10
00
10
00
00
10
01
00
11
10
00
00
11
00
11
10
01
10
11
01
00
00
10
11
11
10
00
00
00
00
10
00
01
11
00
00
10
00
10
10
11
11
00
00
11
10
00
01
11
11
10
00
01
10
10
11
01
01
11
11
00
00
10
00
00
00
10
00
11
10
10
11
10
11
10
00
00
11
00
10
01
01
10
10
10
00
00
01
01
11
10
10
00
00
00
10
00
01
01
10
10
00
11
10
10
01
10
10
10
11
00
01
10
10
10
01
11
10
10
00
10
10
10
10
00
00
10
00
10
01
01
10
00
01
01
11
11
10
11
00
01
00
10
10
00
10
01
01
01
00
10
11
00
00
10
01
10
01
00
10
11
10
01
10
00
01
00
10
01
00
10
00
10
10
10
00
00
11
10
10
01
00
10
00
00
00
11
10
11
10
01
00
00
01
01
11
10
01
00
11
10
00
11
00
00
00
01
00
11
01
11
11
10
01
11
00
01
10
01
00
10
10
10
00
00
11
10
00
11
11
10
10
00
00
00
11
11
11
00
10
01
01
10
01
01
00
01
11
11
00
10
11
01
00
10
00
01
00
10
10
11
00
11
10
11
11
00
00
00
10
10
01
00
10
10
00
01
11
00
00
00
00
10
11
10
01
11
00
00
11
10
10
00
01
10
00
01
00
10
10
11
10
10
10
10
00
00
10
10
11
00
01
10
00
01
00
10
00
11
11
11
10
01
00
11
00
10
10
00
10
11
11
00
10
10
01
01
01
11
11
00
10
11
01
10
10
01
01
00
10
00
01
00
10
01
11
11
10
00
10
11
00
00
00
00
11
00
01
11
10
10
11
00
11
11
00
00
00
01
10
10
01
00
01
01
10
00
00
00
11
00
11
11
10
00
00
01
11
01
10
10
00
00
01
00
10
10
10
10
10
00
00
10
10
00
00
10
10
00
00
10
00
00
00
01
00
00
00
11
01
01
01
11
00
10
10
10
00
00
00
10
00
00
00
00
10
11
10
11
10
01
10
00
00
00
10
01
00
10
01
00
01
10
00
10
10
01
00
00
11
00
10
00
10
00
10
11
10
10
00
10
11
11
00
00
11
01
11
00
00
11
11
10
00
11
10
11
10
11
00
10
11
11
11
00
01
10
10
00
00
01
11
11
10
10
00
10
10
00
00
10
11
11
10
10
01
10
10
11
00
01
10
11
11
10
11
01
11
11
10
01
01
10
10
00
01
10
00
10
10
01
00
10
01
10
10
10
01
10
10
00
00
00
10
00
10
11
10
11
10
10
00
10
10
00
00
01
00
01
11
11
00
00
00
10
10
00
10
10
00
00
01
10
11
11
11
00
10
10
01
00
10
00
00
10
10
10
00
00
01
00
11
10
10
01
10
00
10
00
00
10
11
10
00
00
11
10
00
01
11
00
10
01
10
10
00
11
11
01
10
11
00
00
01
00
10
10
00
00
01
10
01
01
10
01
10
10
01
10
10
01
01
11
01
00
01
00
00
00
10
01
00
00
11
10
00
10
11
10
11
01
11
01
10
00
10
10
01
00
11
10
00
10
01
11
00
10
10
01
11
00
00
10
00
01
10
10
10
00
10
00
00
00
00
00
10
11
11
10
01
00
00
11
01
10
11
11
00
10
11
01
00
11
10
10
00
10
01
01
00
10
01
10
01
00
10
00
11
10
01
11
11
00
00
11
00
11
11
01
11
11
00
00
00
10
10
00
00
00
01
00
10
10
00
00
10
11
01
00
10
10
01
10
10
00
11
00
00
00
10
00
10
01
01
00
10
10
00
11
01
00
10
11
11
10
11
00
10
00
10
01
00
10
10
00
00
11
10
11
01
11
00
10
00
10
11
10
00
00
11
10
00
10
11
00
10
00
01
10
00
00
00
11
00
01
10
10
00
00
01
11
11
10
01
10
00
01
00
01
10
00
00
00
10
10
01
11
01
01
01
00
00
10
10
10
00
00
10
11
00
10
11
01
11
00
10
00
01
10
10
11
00
10
11
10
00
00
10
10
00
10
10
01
00
10
10
01
00
00
10
10
01
10
01
11
00
00
00
11
11
00
00
10
00
00
10
10
11
11
01
00
10
11
01
01
00
10
10
00
00
10
10
01
00
00
01
11
01
00
10
10
10
00
01
00
10
01
00
11
10
10
00
01
00
10
00
11
10
00
00
10
10
10
11
00
00
01
10
10
10
01
01
11
10
00
10
11
00
00
01
10
10
00
01
00
01
10
11
11
00
11
10
11
00
00
10
11
01
01
11
10
00
00
00
01
10
11
10
01
01
00
11
10
00
10
11
01
11
00
00
00
10
01
01
10
10
00
10
01
00
10
00
11
01
01
10
11
10
11
10
01
01
10
10
00
10
11
00
10
10
10
01
01
10
00
11
10
10
00
01
00
00
00
10
01
10
11
00
10
00
01
00
00
10
01
11
00
00
10
01
10
10
10
10
00
01
00
10
10
11
10
01
00
00
10
00
10
00
11
10
11
00
10
01
10
10
10
11
10
10
10
00
11
11
00
01
11
01
00
10
11
10
00
00
00
10
00
00
01
10
10
00
00
11
10
11
11
01
01
00
00
10
00
00
01
11
10
00
00
10
00
10
10
10
10
10
11
00
11
10
01
00
00
10
11
00
00
01
10
11
00
00
11
11
11
00
00
10
00
01
11
01
00
10
00
01
00
00
10
10
00
00
00
10
10
10
11
00
11
01
01
10
01
10
00
11
10
00
11
10
01
11
00
11
10
10
10
00
10
11
01
00
10
01
00
00
00
11
11
10
00
10
00
01
11
10
00
00
10
10
10
10
10
00
10
11
10
10
01
01
00
01
10
10
10
01
00
11
10
01
10
01
11
01
10
11
10
01
01
11
01
01
10
01
01
11
11
01
11
10
01
01
01
10
01
10
11
10
00
01
10
11
00
01
10
11
01
00
11
10
11
01
00
00
10
10
00
00
10
00
00
10
00
00
01
10
00
11
10
11
10
00
10
01
00
10
00
01
00
01
00
10
00
11
10
11
10
00
10
00
10
10
11
00
10
01
10
11
10
01
10
00
00
01
10
10
10
10
10
01
00
00
10
10
00
11
10
01
10
10
00
01
00
00
10
10
00
11
01
00
10
10
10
00
10
11
10
00
00
01
01
00
11
01
00
00
00
10
10
10
01
10
10
00
01
10
10
10
10
00
10
10
01
00
00
10
11
11
10
10
00
00
01
11
01
00
00
00
11
10
10
10
10
00
11
00
00
10
11
10
10
00
11
11
00
00
00
10
01
00
10
11
00
01
00
10
00
00
11
01
00
10
10
01
00
00
10
10
11
10
01
01
00
01
10
01
00
11
00
10
01
10
10
00
10
10
11
01
00
10
10
01
10
01
01
00
11
10
00
01
10
10
10
00
00
01
00
10
01
01
10
10
11
00
11
10
00
10
11
00
01
10
10
11
00
00
00
00
11
10
00
00
10
01
01
10
11
00
10
00
10
10
00
01
11
10
11
10
10
00
00
01
00
11
10
00
10
00
00
00
01
10
10
10
10
11
00
10
10
00
10
10
11
00
10
00
00
10
10
01
00
10
10
10
10
10
10
10
00
10
10
10
01
10
11
10
10
00
00
00
11
10
10
11
01
01
10
10
10
11
00
11
01
00
10
00
10
11
11
00
01
00
10
10
10
00
10
11
01
10
11
00
11
10
00
00
00
10
10
10
00
00
11
10
10
01
11
00
00
10
00
10
11
10
11
10
10
00
11
10
01
00
10
10
10
10
01
00
01
10
10
10
00
11
10
01
00
01
10
01
11
10
11
00
00
11
10
11
00
01
11
10
11
00
10
10
01
00
00
10
10
01
01
00
10
10
00
10
10
00
01
10
11
10
00
00
00
00
10
10
11
01
11
10
01
00
11
10
11
00
00
01
10
00
00
10
10
10
00
10
00
10
10
01
10
01
00
11
00
01
11
11
11
00
10
00
00
10
10
00
00
00
01
10
00
10
01
11
10
11
00
10
10
00
11
00
01
10
00
10
01
10
01
01
10
01
00
10
00
10
10
10
00
00
11
00
01
10
10
00
00
10
11
11
01
00
00
00
11
10
10
11
00
00
11
11
11
10
11
00
10
01
10
10
00
00
10
10
10
00
00
01
10
00
00
00
10
11
01
10
01
01
01
00
10
11
10
01
00
10
00
10
10
00
01
00
01
00
11
01
00
00
10
00
00
10
10
11
10
00
00
00
10
10
10
10
10
00
00
01
01
00
00
01
10
00
10
11
10
11
10
01
01
00
10
00
00
11
00
11
10
00
01
00
01
11
10
00
10
11
11
01
10
10
00
00
00
01
10
10
00
01
10
01
01
00
00
10
11
10
00
00
10
10
00
01
10
01
01
00
00
01
00
11
10
00
11
10
01
00
10
10
01
10
11
00
00
11
00
10
01
00
10
00
10
00
00
00
10
10
00
00
01
11
11
01
00
00
00
10
10
00
00
01
11
10
11
00
00
01
11
11
00
00
10
10
10
00
10
10
10
10
00
00
00
01
00
00
10
10
01
01
10
10
00
10
11
10
00
01
01
00
01
10
00
11
00
10
10
01
00
10
10
00
10
10
10
10
00
01
00
10
10
00
10
10
10
00
11
01
00
01
00
10
10
11
01
00
01
11
01
10
10
10
00
10
10
00
01
00
10
00
10
10
01
11
10
10
00
01
10
00
11
00
11
00
11
00
00
10
01
01
11
00
00
10
11
10
00
01
10
10
00
10
00
01
00
10
10
11
00
00
10
11
10
01
11
11
10
11
10
10
00
00
00
00
11
00
10
00
01
10
10
11
10
11
01
01
00
00
01
11
11
01
00
11
10
01
00
10
10
01
01
10
10
11
11
00
11
00
01
00
00
00
10
11
11
10
00
10
00
00
00
11
11
00
00
00
01
10
00
01
11
10
01
00
11
01
00
01
10
01
00
00
10
11
00
11
10
00
00
00
11
01
00
10
00
00
10
10
11
00
01
10
01
10
01
00
01
00
11
10
01
00
11
10
00
10
10
00
00
00
10
10
00
00
10
00
01
10
00
00
11
01
10
01
10
10
01
11
00
01
00
11
00
10
10
01
10
11
10
00
00
00
00
10
00
10
00
00
11
00
10
00
01
11
10
10
00
10
11
10
00
11
10
01
11
10
10
00
00
00
00
10
00
10
11
10
10
10
00
11
01
01
11
00
00
10
00
10
11
01
00
00
01
10
00
00
00
11
10
10
00
00
00
01
10
11
10
11
00
00
01
00
00
00
10
10
10
11
00
00
10
10
01
11
10
01
11
10
00
01
00
01
01
10
10
00
10
10
10
01
00
10
11
11
10
10
01
00
00
10
00
01
00
11
11
00
10
00
11
00
00
00
11
10
10
10
00
00
10
11
10
00
11
00
11
00
11
10
10
00
00
01
11
00
01
10
10
01
10
00
10
10
00
00
10
10
00
10
00
01
01
10
11
10
10
10
01
00
10
00
00
10
11
10
00
01
01
00
01
00
01
01
11
10
00
11
10
01
01
10
10
10
11
00
01
10
01
10
11
00
10
00
00
11
10
00
00
11
00
10
00
11
00
01
10
10
00
01
00
00
01
10
10
11
01
00
01
10
00
10
00
01
11
10
10
10
00
00
01
11
11
00
11
10
00
10
01
11
01
00
10
00
10
11
00
11
10
01
11
10
00
00
10
11
10
01
10
00
01
01
10
10
10
00
11
00
00
11
10
01
11
10
00
00
10
10
11
00
00
10
10
11
00
10
10
00
00
10
11
00
00
10
01
11
00
10
01
00
10
00
00
00
11
10
10
00
10
00
00
00
01
01
10
00
10
00
10
10
00
00
01
10
10
10
00
11
00
11
10
10
10
00
00
11
10
01
00
10
00
00
00
10
00
00
10
10
11
01
00
00
10
00
11
10
00
10
00
11
00
00
11
00
10
00
01
10
01
00
10
01
10
11
11
00
00
11
00
00
00
10
11
01
01
10
00
01
00
10
11
00
01
00
10
00
00
00
10
10
11
10
00
11
00
00
11
00
10
10
01
10
00
01
10
00
00
10
00
00
10
11
00
11
00
00
00
10
00
01
10
10
00
10
10
00
11
01
00
11
10
10
01
00
10
11
10
00
00
00
00
00
10
00
10
10
00
10
00
00
10
10
01
11
10
01
11
10
01
01
10
00
00
10
10
00
01
10
00
00
00
01
00
10
00
00
10
01
11
00
01
00
10
10
00
10
10
11
01
01
01
01
01
10
10
10
00
11
10
00
01
00
10
10
01
10
00
00
10
11
00
01
10
10
10
00
01
00
10
10
11
10
10
10
10
00
00
01
00
10
01
10
01
00
10
10
00
10
10
00
00
00
00
11
11
11
10
11
11
00
11
10
01
01
00
01
00
10
10
00
11
10
10
01
01
11
10
00
10
01
11
11
01
00
00
10
10
00
11
10
01
10
10
10
10
00
00
00
10
00
00
10
10
11
11
01
10
00
00
00
10
10
00
00
10
00
00
10
10
10
00
01
01
00
00
10
11
11
00
00
10
00
00
11
10
11
01
00
10
00
00
00
00
10
10
00
10
00
00
00
00
10
11
01
11
10
01
00
00
00
10
10
00
01
01
10
10
11
11
10
10
00
00
01
00
11
10
10
00
10
01
01
11
10
10
00
11
00
00
11
10
01
10
00
00
10
00
10
01
10
11
01
10
01
11
10
10
11
10
00
00
10
10
00
00
10
10
10
10
11
10
01
11
01
10
00
10
00
10
00
00
10
00
00
00
10
00
00
00
01
10
10
01
11
10
00
01
00
00
10
00
00
11
11
10
01
11
01
10
00
00
10
11
11
10
01
01
00
00
00
10
11
10
10
01
00
10
10
10
00
00
00
01
01
10
10
10
11
00
00
01
01
11
11
00
11
01
00
10
00
01
11
10
00
00
10
10
11
00
01
10
10
10
10
00
00
00
10
10
10
00
10
10
00
01
01
00
01
01
11
10
00
00
10
11
00
01
10
00
00
11
00
00
00
10
01
00
01
11
10
00
00
01
10
00
11
01
00
00
00
10
10
10
10
11
00
00
00
11
10
01
11
00
10
10
00
10
10
00
11
11
10
11
10
11
01
10
11
01
00
01
11
11
11
00
00
00
11
11
10
11
00
10
11
01
10
00
01
11
11
11
00
01
01
01
11
10
00
00
01
00
00
10
10
00
10
10
00
10
10
00
10
00
11
10
11
01
10
00
00
10
10
01
00
00
11
11
10
10
00
00
00
01
00
10
11
10
00
00
00
11
01
01
00
00
10
00
00
00
10
10
11
01
00
00
11
00
00
11
11
10
00
10
10
01
01
00
01
01
00
10
10
10
10
10
00
00
10
00
00
10
01
00
10
00
10
10
10
00
00
11
00
10
11
10
00
11
10
00
00
00
00
01
01
11
00
11
00
11
10
01
10
00
01
00
00
00
11
10
00
00
10
11
01
10
11
10
00
10
10
01
00
10
10
10
01
00
10
10
10
10
11
00
01
00
10
00
10
10
00
10
10
10
01
00
10
00
10
11
10
00
01
10
10
00
00
01
00
10
10
01
10
01
10
10
00
11
11
00
01
10
11
10
11
00
11
10
00
00
10
00
10
11
00
11
10
00
00
01
10
10
00
00
00
11
01
01
00
01
00
10
11
10
00
01
10
11
01
01
00
11
10
01
10
10
00
00
10
10
00
01
11
01
10
10
00
00
00
11
11
01
10
00
11
10
00
00
10
10
11
10
00
10
00
10
10
10
01
10
10
00
10
01
10
11
00
10
00
11
10
00
00
00
00
10
11
10
00
11
11
10
00
00
11
10
00
10
00
00
10
00
10
10
11
11
10
00
01
10
11
00
00
10
11
00
00
10
00
01
10
11
10
00
00
00
01
10
10
00
00
00
00
01
11
11
11
10
10
00
00
11
00
00
10
00
10
10
10
00
10
00
00
10
00
01
10
10
10
11
00
10
00
10
00
10
11
10
10
00
00
10
01
01
00
01
10
11
00
11
11
01
00
10
10
10
10
01
10
11
01
00
10
11
01
01
10
01
00
10
10
00
00
01
01
10
10
00
00
10
00
00
10
00
10
00
00
10
01
11
00
11
01
10
10
00
00
10
00
10
10
00
01
10
00
11
11
11
00
10
00
01
11
10
01
00
00
11
10
00
01
10
10
11
11
00
01
10
11
01
00
11
00
00
10
10
00
00
11
01
01
10
00
11
00
11
10
00
01
11
10
00
11
10
01
10
10
00
10
11
00
11
01
11
11
10
00
10
00
00
10
11
00
01
00
01
11
01
00
00
01
10
11
11
10
01
01
10
11
10
00
00
11
11
01
00
00
11
00
01
11
10
10
10
00
11
01
01
00
11
10
00
10
10
00
00
01
10
11
10
11
10
00
11
00
00
11
00
01
11
01
00
10
10
01
10
11
10
00
00
01
00
11
10
00
00
10
00
10
01
10
00
00
10
10
10
00
10
10
00
01
01
00
10
00
01
10
01
01
00
01
10
00
01
00
11
00
01
10
10
01
00
01
00
00
11
00
01
00
11
10
11
11
10
11
10
10
00
00
11
10
11
01
10
11
00
00
10
01
00
11
00
01
00
01
00
00
10
10
00
00
10
11
10
00
11
00
10
10
01
10
10
10
00
00
00
00
10
10
11
10
11
00
11
01
01
00
11
00
00
11
00
00
11
11
00
10
11
11
00
01
10
11
10
00
00
10
11
01
01
11
11
00
11
00
00
00
10
10
00
10
10
00
10
10
10
00
10
00
10
10
00
10
10
00
00
10
00
01
00
10
10
00
10
10
10
10
11
00
00
00
00
11
10
10
01
10
00
10
11
00
10
11
00
11
10
10
00
11
10
11
01
00
11
11
00
01
10
10
10
11
01
01
10
10
10
01
00
00
10
10
10
10
00
00
00
00
11
10
11
00
10
01
00
10
10
01
00
11
00
01
10
01
01
10
00
00
11
11
00
00
11
10
00
10
10
00
00
11
11
01
01
11
00
00
11
11
00
10
10
00
10
00
10
10
11
10
10
10
10
11
00
01
00
01
00
11
00
10
01
00
00
11
10
00
10
10
10
01
00
11
10
00
00
10
00
10
11
00
10
00
00
00
11
11
00
10
01
10
11
01
11
10
10
00
00
01
11
00
11
10
00
00
11
00
01
10
10
01
10
00
00
00
11
10
10
10
01
01
11
10
01
10
11
00
00
01
10
10
10
11
01
10
10
11
10
10
10
00
10
10
00
00
00
00
01
10
00
00
01
10
10
01
10
00
11
11
10
00
10
00
00
00
11
10
10
10
00
10
10
01
00
10
00
00
01
00
00
10
01
10
11
00
01
10
10
11
11
00
00
00
10
10
10
00
00
00
11
00
00
10
10
11
00
10
10
01
01
00
10
01
01
10
10
10
01
10
10
10
01
00
00
10
11
00
00
10
11
00
00
10
10
10
11
10
01
01
10
10
10
10
00
01
00
10
10
00
10
10
11
00
00
00
10
01
00
00
10
01
00
10
10
10
10
01
01
10
10
00
00
00
10
01
10
00
11
01
10
11
01
01
10
10
01
10
00
11
00
00
10
11
11
11
10
00
00
11
00
00
10
01
00
00
00
00
10
11
01
10
00
11
11
01
00
10
10
00
01
11
11
01
10
11
00
10
11
00
00
10
10
00
00
00
10
00
00
10
01
00
10
10
01
11
01
10
00
00
11
00
10
10
10
01
00
11
00
11
00
10
01
10
01
00
01
10
10
10
10
00
01
01
11
01
01
00
00
00
00
10
10
11
00
00
10
10
00
00
10
11
11
00
01
10
00
10
11
01
10
11
00
10
11
01
01
10
10
00
00
10
11
00
11
00
01
00
10
10
01
10
10
10
10
00
00
00
10
10
00
10
10
10
00
00
11
00
10
01
00
11
11
10
00
10
11
10
10
00
00
10
01
00
11
10
10
10
00
01
01
00
10
10
00
10
00
00
00
00
10
10
00
10
10
10
01
10
00
01
10
10
01
01
00
11
10
10
10
11
01
00
11
10
10
01
10
10
10
00
01
10
11
01
11
00
00
10
10
01
01
00
11
11
10
00
00
00
10
10
01
10
11
10
11
10
01
00
10
10
01
01
10
10
00
00
10
00
10
00
10
10
00
00
01
11
00
11
00
00
11
10
11
11
00
00
10
11
10
10
00
10
10
01
10
00
10
01
00
11
11
01
10
11
00
00
01
00
10
10
00
11
10
11
00
10
11
00
11
01
11
10
10
01
01
00
00
10
11
01
00
10
10
10
00
11
00
00
10
10
00
01
00
10
11
01
00
10
01
01
00
01
11
10
10
10
01
10
10
10
11
00
11
01
01
10
01
11
10
00
01
01
11
10
00
00
10
00
11
10
00
11
10
01
00
00
01
00
00
10
11
10
00
00
11
00
00
00
10
01
01
10
10
00
10
01
10
10
00
10
10
10
10
00
00
10
10
01
00
01
01
00
10
00
10
10
11
00
00
11
00
01
10
11
10
01
10
10
11
01
11
01
11
00
11
00
00
10
10
00
10
00
01
10
10
10
00
01
10
00
00
10
10
10
10
00
10
01
10
10
00
11
10
00
10
00
00
11
01
00
10
10
10
00
10
00
00
00
10
11
10
00
11
01
11
10
00
00
01
00
11
11
01
00
10
11
10
10
01
00
10
11
10
10
10
00
01
00
01
10
11
00
00
00
00
00
00
00
00
11
10
11
10
00
10
10
01
10
10
01
10
11
01
01
10
11
00
01
00
10
11
01
01
11
10
00
01
10
11
00
01
10
11
10
01
11
11
00
00
00
11
10
01
10
11
00
00
10
10
00
10
10
00
00
00
00
11
10
10
11
10
10
00
00
11
00
00
00
00
11
10
10
00
00
10
11
00
01
10
10
11
00
10
10
01
00
11
01
01
11
00
10
10
01
00
00
11
10
11
00
00
01
11
10
11
00
00
01
11
11
00
00
00
10
10
10
11
00
00
10
00
00
01
01
10
00
00
11
10
10
01
01
00
10
10
00
11
11
11
01
00
00
01
00
10
00
00
10
10
01
10
11
00
00
10
11
00
00
00
10
00
10
10
00
01
00
01
10
10
10
10
00
01
10
10
00
11
00
11
01
00
00
10
10
10
01
00
10
00
00
00
00
00
00
10
11
00
10
01
00
11
00
00
10
10
11
10
11
00
11
10
10
00
00
01
11
11
10
00
11
00
01
00
01
11
11
10
10
10
00
01
11
00
01
00
01
10
10
11
10
10
00
11
10
11
00
00
10
10
00
11
01
01
00
00
10
11
10
10
00
00
10
11
10
01
00
10
00
10
10
01
00
10
11
11
10
01
01
00
00
00
00
00
00
11
10
00
10
01
01
00
01
11
00
00
01
10
11
00
01
11
01
00
10
01
11
00
00
10
00
10
10
10
00
10
11
10
11
10
00
11
00
00
10
00
00
11
01
00
01
11
01
00
00
10
11
01
01
00
10
00
10
00
11
11
00
11
00
00
10
10
00
10
00
00
10
11
10
11
00
00
11
11
00
01
00
10
10
01
00
00
11
01
00
01
11
00
10
10
00
10
11
10
10
01
00
10
01
11
11
00
01
01
11
01
11
10
00
00
10
10
01
00
11
10
00
01
01
11
10
10
00
00
00
00
00
10
00
00
00
10
10
00
01
10
10
00
00
11
11
10
01
00
11
00
00
11
11
00
00
00
01
01
11
10
10
01
10
10
10
01
01
00
11
01
10
00
00
10
10
00
00
10
00
01
10
10
01
00
00
00
00
10
00
10
10
11
11
00
01
00
10
01
10
01
01
10
10
11
00
01
10
10
11
10
11
10
01
00
11
00
00
00
10
00
00
00
11
11
00
11
11
11
00
10
00
10
11
01
10
00
00
10
00
01
00
10
10
01
10
00
00
00
00
01
11
10
01
00
11
11
10
10
00
01
11
00
00
10
00
10
00
00
00
10
10
10
11
10
10
00
10
00
11
00
00
00
10
11
10
00
00
10
10
10
10
01
10
10
10
10
10
10
10
11
10
00
10
10
10
00
10
00
01
00
00
01
10
10
00
00
00
11
11
11
10
00
01
01
10
10
00
00
00
01
10
10
11
01
01
11
11
10
00
11
10
10
10
01
00
01
10
00
10
11
10
11
10
01
10
10
11
00
00
00
11
10
01
00
10
01
01
00
11
00
00
01
10
01
10
10
00
10
11
11
10
00
00
11
00
00
10
10
10
10
00
00
10
10
00
00
01
10
00
11
11
10
10
00
00
00
10
00
10
10
10
00
01
11
11
00
00
10
10
00
10
00
00
01
11
11
00
00
11
10
11
00
01
10
11
10
11
11
00
01
10
01
00
11
10
00
00
10
00
00
11
10
01
10
01
10
10
10
10
10
01
01
10
11
10
00
10
01
11
01
01
10
10
00
00
10
00
00
00
10
10
11
10
00
01
01
00
11
10
00
10
00
00
10
00
10
10
01
00
01
00
00
10
11
00
00
00
10
10
01
00
10
10
01
10
00
00
00
00
00
01
10
10
11
10
10
10
10
00
00
10
00
11
10
00
01
10
10
00
10
00
10
00
00
10
00
11
10
11
11
01
01
00
00
01
10
10
01
10
10
00
11
01
11
00
00
11
10
01
11
10
00
01
00
01
00
11
00
11
10
10
10
00
10
00
01
11
10
01
10
00
10
10
00
01
00
11
00
00
11
10
01
11
11
11
10
00
00
00
11
11
00
00
11
00
11
00
10
10
10
01
00
10
10
01
01
01
00
10
00
00
10
10
00
01
01
11
11
01
10
11
01
01
10
00
01
10
10
00
00
11
10
01
10
11
00
10
11
00
00
10
00
00
00
10
10
10
01
00
00
00
01
00
10
00
10
10
00
10
10
10
01
00
10
01
10
00
00
01
11
00
01
00
11
10
10
10
10
11
00
00
11
01
00
01
00
11
10
10
01
00
11
00
01
10
00
00
10
10
00
11
00
00
11
10
00
01
10
01
10
11
00
11
00
00
00
11
10
10
10
00
01
10
10
00
11
10
00
10
00
01
00
00
01
01
01
01
10
10
11
10
10
00
00
10
10
01
10
11
00
01
01
10
00
00
11
10
00
00
10
00
10
00
00
11
10
11
00
00
10
00
10
00
00
10
00
00
10
10
01
11
11
10
10
10
10
10
00
01
10
10
11
00
10
11
00
01
01
11
11
01
01
10
11
01
10
10
00
00
10
10
10
11
00
10
10
11
11
00
00
10
10
11
00
01
10
10
00
00
01
00
11
10
10
10
01
01
01
11
10
11
10
10
00
00
00
10
10
00
01
10
10
00
11
11
00
01
10
00
00
11
00
10
10
01
10
00
00
11
00
01
10
00
01
00
10
01
00
11
00
10
10
00
01
00
10
11
00
10
11
10
00
00
10
00
00
11
10
00
01
10
11
01
10
00
00
00
10
11
00
00
00
00
01
10
00
10
00
01
01
10
00
10
10
10
10
00
00
00
10
11
10
01
10
11
00
10
11
00
00
10
00
00
01
01
10
10
10
11
01
00
01
00
00
01
10
10
00
00
11
00
10
10
01
01
11
00
10
10
00
00
11
10
00
11
11
00
00
00
01
00
10
10
00
10
00
00
10
00
10
10
01
00
10
01
01
00
00
11
11
00
00
11
10
11
00
00
00
00
10
10
01
00
00
11
01
11
10
10
11
00
00
10
00
01
10
10
00
00
00
00
11
00
00
01
01
00
01
01
10
01
00
11
11
10
00
10
11
00
11
10
01
11
10
10
00
00
10
10
10
01
00
10
01
10
00
00
10
01
00
10
10
00
01
00
01
11
01
00
00
00
00
10
11
10
10
00
10
10
00
10
10
10
00
11
01
01
10
00
00
10
01
10
11
00
01
00
10
00
00
11
10
10
11
00
00
11
01
00
00
11
10
10
00
10
00
10
01
01
11
00
10
10
10
11
10
00
01
10
10
01
11
00
00
01
10
00
10
00
00
10
01
10
10
00
01
11
00
10
10
10
01
11
00
00
10
00
11
11
00
10
00
11
10
01
10
00
00
00
11
11
10
00
01
00
01
01
10
11
00
11
00
01
10
10
00
10
00
00
11
10
01
01
11
10
11
11
01
00
01
00
10
11
00
10
10
10
00
00
10
10
00
11
10
11
01
00
00
00
10
00
01
00
10
00
10
10
01
10
11
01
00
11
10
00
10
10
00
00
01
10
00
10
01
01
10
00
01
11
11
00
00
11
11
10
00
10
00
11
10
00
00
10
10
11
10
00
11
10
10
11
10
01
10
01
10
01
11
11
00
00
00
10
00
10
00
01
01
00
10
10
00
00
00
10
01
10
10
11
10
00
11
10
01
01
10
10
00
10
00
00
10
10
00
00
10
11
01
10
10
11
00
10
00
10
10
00
00
01
11
10
00
10
10
11
10
01
00
10
01
10
10
01
00
10
00
00
11
11
00
10
00
10
10
00
00
00
00
01
10
10
10
00
00
10
10
01
01
01
10
11
00
11
00
10
11
01
00
01
01
10
00
10
10
11
10
01
10
00
00
01
10
10
01
00
00
10
10
00
00
11
11
10
00
00
10
00
00
10
01
01
00
10
00
11
10
00
11
01
11
00
10
10
11
00
11
00
01
10
11
10
01
01
10
00
10
01
00
01
11
10
10
10
01
00
10
11
01
11
11
01
11
00
00
00
11
10
01
00
10
11
00
00
10
11
10
11
00
01
10
11
10
11
00
00
11
10
11
01
11
11
00
00
10
00
10
10
00
00
10
00
00
11
10
01
10
10
00
00
00
10
10
00
10
00
00
11
00
01
10
01
00
10
11
00
00
10
11
10
00
10
00
00
00
11
10
10
01
10
10
10
00
00
00
10
01
10
01
10
10
10
00
01
00
00
10
10
10
00
01
00
01
10
01
10
10
11
01
10
10
00
00
00
10
10
01
00
10
00
10
00
00
11
10
10
00
00
10
10
00
10
10
00
10
10
01
10
00
10
10
01
10
01
10
10
01
00
11
00
10
11
10
11
00
10
01
10
00
00
10
10
10
11
10
00
10
00
01
11
01
01
01
10
00
01
01
10
00
10
10
00
11
01
10
10
00
10
01
00
10
01
11
10
10
10
00
10
01
00
11
10
01
10
11
01
00
10
11
10
00
10
00
00
10
10
00
10
01
10
10
00
01
10
11
10
11
11
00
10
00
00
10
11
01
00
10
11
11
00
11
00
10
01
10
10
00
00
10
10
11
00
00
00
00
00
10
00
10
10
10
00
00
10
10
01
00
01
10
10
10
10
01
01
00
10
10
01
00
00
11
00
00
10
00
00
00
10
10
01
10
01
10
10
10
00
00
01
01
11
00
01
01
11
10
10
00
10
11
10
01
00
10
00
10
10
00
00
01
10
00
10
01
11
01
00
11
00
01
11
11
10
01
10
00
00
11
11
00
10
10
01
00
00
11
00
01
00
01
00
11
00
10
11
01
11
11
00
01
00
10
10
01
00
10
00
10
11
10
10
00
01
11
11
01
00
10
10
10
10
00
00
11
10
10
11
01
00
01
00
00
00
01
01
10
00
00
01
00
10
10
00
00
11
11
11
11
00
11
11
11
01
01
00
10
01
10
11
00
01
11
10
11
00
00
10
11
10
00
11
00
11
00
00
00
00
00
10
00
01
11
10
01
11
10
11
01
10
10
01
01
10
10
01
00
00
11
00
01
00
00
10
00
00
10
00
00
01
10
11
11
11
10
11
01
11
10
00
10
00
00
10
11
10
10
00
10
10
10
10
00
11
10
10
00
00
11
01
00
11
00
00
10
00
10
10
00
00
10
00
00
00
10
11
00
11
01
10
00
10
10
00
10
00
11
11
11
00
01
10
10
10
01
10
10
11
11
01
00
10
10
00
11
00
01
10
11
01
00
11
11
00
00
01
00
10
10
00
10
10
11
11
10
00
10
11
00
11
01
01
10
00
11
10
10
11
00
01
10
10
10
00
01
11
10
01
11
01
00
00
00
10
00
11
00
01
10
10
11
10
01
01
10
10
00
01
11
11
00
10
11
10
10
00
00
10
00
10
00
00
10
00
11
11
10
10
10
00
00
11
00
00
00
10
00
11
11
01
11
00
01
00
00
10
10
00
00
10
00
01
11
10
00
10
00
10
10
00
00
00
00
11
01
11
10
00
10
00
10
11
10
01
11
10
00
10
10
10
00
10
11
11
01
11
11
01
00
10
10
01
00
10
11
01
00
00
00
11
10
01
00
11
00
00
00
10
00
00
00
01
10
11
00
11
11
00
00
10
00
11
10
01
00
00
10
00
00
01
10
11
01
11
10
10
01
10
10
01
00
10
10
00
10
11
00
00
11
10
01
10
01
10
11
00
10
10
01
01
00
00
10
10
01
00
10
00
01
00
10
00
11
00
00
11
10
01
00
00
00
01
00
00
10
00
01
10
01
10
10
01
11
00
01
11
11
00
01
10
10
01
00
01
10
10
00
10
11
01
11
10
10
11
11
11
10
01
10
10
11
00
00
10
10
00
10
10
10
11
00
01
01
00
11
10
01
00
01
11
10
01
00
01
11
00
01
10
10
00
00
11
00
00
11
11
01
01
00
10
11
00
00
00
00
10
11
00
00
11
11
11
10
01
00
10
10
00
00
11
11
10
11
01
00
10
10
01
10
00
00
00
10
10
10
00
01
00
10
00
01
10
00
11
00
11
10
00
10
10
00
01
01
10
10
10
10
10
11
00
01
11
00
10
01
00
11
00
00
10
10
00
11
00
01
01
10
10
10
10
10
01
00
00
10
00
10
10
00
11
00
00
01
10
10
10
11
01
11
10
10
10
11
00
10
10
01
00
11
11
10
10
10
00
00
11
10
00
00
10
01
00
01
10
10
00
00
10
00
00
10
01
00
10
01
10
10
11
01
01
10
01
10
00
01
00
11
10
01
10
00
00
10
00
00
01
10
11
11
00
00
11
01
01
01
01
11
10
00
10
10
11
00
00
10
10
11
11
10
01
10
10
00
00
01
01
10
10
11
00
10
00
01
01
00
11
00
00
01
10
10
00
01
10
01
10
11
00
01
10
10
01
00
11
10
10
01
00
01
00
10
11
00
00
00
10
11
10
01
00
10
10
01
11
00
00
01
11
10
10
11
11
10
10
00
00
11
10
01
00
00
11
00
10
10
10
01
00
11
00
00
00
01
10
11
00
00
10
01
11
01
10
10
10
10
10
01
11
10
01
01
11
11
00
10
10
00
00
10
10
01
01
11
00
11
10
10
10
00
11
10
10
01
11
00
10
10
00
01
10
10
10
10
00
00
01
00
00
01
10
10
00
01
11
10
00
00
00
10
10
10
01
00
01
10
00
10
01
01
10
10
00
10
01
00
00
11
10
00
00
00
10
00
00
00
10
10
00
00
11
01
00
00
00
10
00
01
10
10
01
10
00
00
10
10
11
10
11
10
01
11
00
11
00
10
10
10
00
10
10
01
11
10
00
10
01
10
00
00
10
10
01
00
00
10
10
11
10
10
11
10
10
10
11
00
10
11
11
00
01
10
01
00
10
00
10
10
00
11
10
01
00
00
00
00
11
00
00
10
10
10
10
01
01
10
11
10
00
00
00
00
10
00
00
11
00
01
10
01
10
11
01
00
10
10
00
01
00
11
01
01
00
11
10
00
00
10
00
11
11
11
00
10
00
11
10
00
00
00
10
00
00
00
00
01
00
11
00
10
10
00
00
01
11
11
00
10
00
10
01
01
11
10
10
11
01
10
10
00
10
11
11
00
01
10
10
01
11
01
01
11
10
11
10
10
01
00
01
11
11
01
00
10
10
00
10
10
00
10
10
00
00
01
11
10
00
00
10
10
00
00
00
00
01
01
10
10
10
00
00
00
10
11
10
00
00
11
10
00
00
01
01
01
01
10
01
10
00
01
10
11
00
01
10
10
00
10
11
11
00
00
10
10
10
10
00
00
11
00
00
00
11
10
10
00
10
00
00
00
10
01
00
10
10
10
00
10
01
01
10
10
00
11
00
00
00
10
11
01
10
10
10
00
11
01
10
11
00
00
10
00
01
10
01
01
00
11
00
00
01
11
10
10
10
01
01
00
00
10
10
11
10
00
00
10
10
00
11
10
10
00
10
10
01
10
11
01
11
00
10
11
10
11
10
01
01
01
01
10
00
00
10
01
00
01
10
11
01
00
10
10
10
00
10
10
10
00
10
00
00
10
00
01
10
00
10
00
10
01
10
11
11
00
00
10
00
00
00
00
10
01
00
10
00
10
01
00
00
10
11
00
11
10
01
01
01
00
01
11
10
01
11
11
01
10
10
01
00
10
11
01
00
10
10
01
00
10
10
10
10
10
10
11
10
00
00
00
11
00
00
10
01
00
00
10
10
11
10
10
01
10
01
10
01
00
10
10
00
11
10
10
00
00
00
10
10
00
00
11
10
01
10
00
11
00
00
10
10
00
11
01
00
10
00
10
10
11
01
11
00
00
00
11
10
00
11
11
01
01
10
10
00
00
10
00
00
11
11
00
01
10
00
10
00
00
10
00
00
11
10
00
11
11
11
11
00
11
10
00
00
10
10
00
11
10
10
01
00
00
01
00
01
00
00
00
00
00
10
01
00
10
00
00
11
01
00
11
10
00
00
01
11
10
10
01
01
00
10
11
11
10
01
01
10
10
01
00
00
10
10
10
00
00
11
11
11
01
10
11
00
01
00
10
11
00
00
10
10
01
10
10
10
00
10
10
00
00
10
10
10
01
00
00
10
10
10
01
00
00
11
11
01
11
11
01
11
00
00
10
00
00
11
00
00
10
11
10
11
10
11
10
00
01
10
01
01
10
00
10
00
11
00
01
00
10
00
10
00
00
00
11
10
10
10
00
01
10
00
00
11
11
10
00
11
00
01
10
11
01
00
10
11
11
00
00
11
10
10
10
00
10
10
11
00
10
10
10
00
01
10
00
00
01
10
10
10
01
11
11
10
00
10
00
00
10
10
01
01
11
10
01
11
00
01
00
00
10
00
00
11
01
10
01
00
11
10
11
01
00
10
00
00
01
00
10
10
10
01
00
00
01
00
00
10
10
01
10
10
10
00
00
10
10
00
10
10
00
10
00
00
11
10
10
10
11
10
01
10
11
10
11
00
00
11
10
01
00
01
11
00
01
11
00
00
00
10
00
00
11
00
01
10
11
11
10
10
10
00
00
10
11
00
01
00
00
00
00
01
11
01
00
10
00
10
00
00
10
00
00
10
11
00
01
10
01
01
00
10
11
00
01
10
00
01
10
10
10
10
11
00
11
00
00
00
00
10
11
10
00
01
00
10
00
10
10
00
00
00
11
10
11
10
00
10
10
00
11
11
00
00
00
10
11
01
00
11
11
00
10
10
10
11
00
00
00
11
11
00
11
10
00
00
10
00
01
10
11
01
11
10
10
11
00
00
10
00
10
10
10
10
00
00
11
11
00
00
11
00
00
00
01
10
10
00
10
00
01
00
00
10
00
10
10
00
11
01
01
00
11
00
00
10
10
00
10
11
01
00
11
01
00
01
11
01
10
11
01
10
00
00
10
11
11
01
00
10
10
11
01
00
01
10
10
01
00
10
00
01
10
00
10
11
01
01
01
10
01
10
10
11
11
01
01
11
00
00
01
10
00
00
10
10
00
10
00
00
10
00
01
11
11
11
10
01
00
11
10
00
00
00
01
10
11
10
11
00
10
00
11
00
01
00
11
01
10
10
10
10
00
11
00
10
10
01
10
00
11
10
00
00
01
10
10
11
01
10
10
01
10
00
10
00
00
10
00
11
10
01
00
10
11
01
10
10
00
00
01
10
01
00
10
11
00
00
00
10
10
10
10
11
00
00
00
10
11
11
10
00
00
10
01
01
00
11
10
11
10
10
00
00
00
10
11
01
11
10
11
00
10
10
01
10
10
10
00
11
10
00
00
00
00
11
11
11
10
11
10
00
10
10
00
00
00
11
10
10
00
10
10
10
10
00
00
10
01
10
11
10
10
10
10
00
11
11
00
10
01
00
00
10
10
10
11
10
00
01
10
10
10
11
10
10
10
01
11
00
00
11
01
00
01
10
01
00
01
11
00
10
01
10
00
11
11
00
00
10
01
10
10
10
01
00
10
01
01
00
00
10
11
10
00
01
10
10
11
00
00
00
00
10
00
10
00
11
00
00
00
11
00
01
00
10
11
10
00
10
00
01
11
00
11
10
00
00
00
10
10
11
01
00
10
10
10
01
10
00
00
10
10
01
01
11
10
11
00
00
01
00
01
10
11
10
00
00
10
01
00
10
10
00
11
01
01
10
11
00
11
01
10
00
00
11
10
10
00
11
10
01
10
01
00
10
10
10
01
00
10
10
00
00
10
11
10
11
11
00
00
10
10
00
00
10
00
10
10
01
10
00
00
11
10
11
00
00
10
10
11
00
10
11
10
10
11
01
00
01
01
10
10
10
10
00
00
00
10
11
00
11
00
00
11
10
01
00
11
10
11
01
00
10
00
00
10
00
00
10
10
10
01
01
01
01
01
00
00
00
10
10
01
00
11
10
11
11
11
00
00
01
00
10
10
11
01
00
01
00
00
00
11
11
10
01
01
10
00
00
00
11
01
01
10
00
10
11
00
11
00
01
10
00
00
00
11
00
00
10
11
00
11
10
00
01
01
01
10
01
01
11
01
01
00
10
10
00
00
10
01
11
00
01
01
01
00
00
11
00
01
11
10
00
01
01
00
10
11
10
01
10
00
10
10
00
00
11
10
00
01
00
10
10
01
00
01
10
11
00
01
10
00
10
10
10
00
10
00
10
00
01
10
11
01
10
10
10
11
00
11
10
11
00
01
10
00
00
11
00
00
00
11
11
01
11
00
11
10
00
00
00
01
10
00
00
01
10
10
11
00
01
00
11
10
00
10
00
00
10
00
00
11
11
11
10
10
01
10
00
00
11
10
10
10
00
01
10
10
10
00
10
00
01
10
11
00
10
10
00
10
00
10
10
00
11
00
00
10
00
10
10
01
00
00
11
10
00
01
10
10
01
00
11
10
11
10
10
11
00
00
10
10
00
10
01
00
00
10
00
00
00
10
01
10
10
01
01
00
11
11
10
01
10
10
00
00
11
00
01
10
01
10
10
00
10
10
00
10
00
01
00
10
00
00
11
10
10
01
01
00
11
00
10
01
00
10
01
00
01
00
01
10
00
11
10
10
10
10
10
00
11
10
00
00
10
00
01
01
10
11
00
00
00
00
10
00
11
10
01
00
10
10
11
10
01
00
00
10
00
10
10
10
11
11
01
01
01
11
00
01
10
00
11
10
01
00
10
10
00
11
01
11
10
01
11
01
10
10
00
00
10
10
10
00
01
01
10
00
00
01
10
11
00
10
10
00
00
10
01
11
00
00
11
11
01
11
01
01
00
11
10
11
00
00
10
10
00
00
00
10
11
10
00
00
10
11
00
01
11
11
10
00
01
01
00
10
10
00
01
00
01
10
10
00
10
11
10
00
00
11
00
00
10
11
00
11
00
01
00
10
11
00
11
11
10
00
01
10
10
00
01
10
00
00
10
00
00
11
11
11
00
00
01
00
00
10
10
01
00
01
00
01
11
11
00
11
11
01
00
00
10
11
01
00
01
11
11
01
11
11
00
10
00
01
10
11
01
01
01
10
01
01
10
10
00
00
11
10
01
01
10
10
00
10
10
00
00
00
10
01
10
11
01
01
11
01
11
10
01
00
00
00
11
11
10
00
10
10
00
00
01
10
11
00
00
01
11
01
01
01
10
11
10
01
00
10
11
00
00
01
00
11
00
10
11
00
10
00
00
10
10
00
00
00
00
10
00
00
01
10
00
11
10
10
00
00
00
10
00
11
00
00
10
00
10
10
00
10
00
10
00
00
00
00
00
00
11
00
01
01
10
01
11
00
00
00
11
00
10
00
10
11
10
10
11
11
00
10
00
00
10
11
11
01
01
11
00
10
00
00
11
11
01
01
11
00
11
10
11
01
10
10
01
11
10
10
01
00
10
00
10
11
10
00
00
10
10
00
10
01
10
00
01
01
00
10
00
00
10
10
01
11
11
11
10
10
11
10
10
01
00
10
00
01
11
10
00
10
01
01
11
10
10
10
00
00
10
01
01
10
00
11
11
00
10
00
01
00
00
11
10
10
00
11
10
00
10
10
00
00
11
01
00
10
00
11
10
01
10
00
01
10
10
10
01
00
10
00
10
11
00
00
10
11
00
10
11
01
11
00
10
10
00
00
10
10
01
11
01
01
00
00
00
01
10
10
10
00
11
00
10
10
11
01
11
01
10
10
01
10
11
10
01
00
01
00
00
00
10
00
10
00
10
10
11
00
00
00
00
00
10
10
00
10
11
01
00
11
10
01
10
00
11
01
01
10
11
10
00
00
11
11
00
10
11
00
01
00
00
00
01
01
11
10
01
01
11
01
10
00
00
00
10
00
00
10
00
11
10
10
01
10
00
01
00
10
11
10
10
10
10
00
10
10
01
10
11
11
01
10
01
10
11
10
01
10
11
00
10
00
10
01
00
11
10
10
00
01
10
10
01
00
11
01
01
01
01
10
00
10
10
00
00
10
01
00
00
00
10
11
00
10
10
00
00
00
00
00
01
00
11
10
01
10
10
01
00
10
10
10
01
00
11
00
11
11
10
00
00
10
11
10
00
11
10
01
01
00
11
11
01
01
10
00
01
10
11
00
00
00
10
10
10
10
11
11
10
11
10
01
11
00
10
00
11
00
11
10
01
10
11
11
11
00
00
10
00
11
00
10
10
00
10
10
00
10
01
00
00
11
00
11
10
00
10
10
10
01
00
10
00
01
10
11
10
10
00
00
10
00
11
10
10
10
00
11
00
00
10
00
10
00
00
11
10
00
00
10
00
10
10
01
00
01
00
10
00
10
00
00
10
11
10
00
10
01
00
10
00
00
00
10
10
10
01
00
01
00
01
10
11
00
10
10
01
00
00
10
11
10
10
11
10
11
10
00
00
10
00
10
00
00
00
11
10
01
10
11
00
10
11
10
10
10
10
01
10
00
00
00
00
11
10
00
00
00
10
11
10
00
00
10
11
01
00
10
00
01
00
00
00
01
10
01
01
11
00
11
10
10
00
10
11
00
11
00
00
11
00
00
11
00
10
11
00
00
01
00
10
10
00
10
01
00
01
01
10
00
11
11
01
11
10
11
00
00
00
11
10
11
01
01
10
01
00
11
00
00
11
10
00
01
11
10
00
11
01
00
01
10
10
01
00
11
00
01
10
10
00
00
10
00
00
10
10
00
01
01
10
00
10
00
11
10
11
10
01
10
00
00
00
10
01
00
01
10
10
10
10
11
00
10
10
00
01
11
10
10
00
00
11
11
11
00
10
01
00
10
10
00
00
00
11
11
01
11
10
11
11
00
01
00
11
01
11
01
00
10
11
10
11
01
11
10
11
00
01
10
10
10
01
10
00
00
10
10
11
01
01
00
11
00
10
11
00
11
11
00
01
10
10
10
10
00
11
00
01
01
10
10
10
10
00
01
01
11
00
01
10
11
10
11
10
01
11
00
10
11
00
01
10
10
00
00
10
10
10
00
11
00
01
11
01
11
11
01
10
00
01
10
11
00
00
11
10
01
00
11
10
01
10
01
10
00
11
11
00
10
00
11
00
00
11
10
00
00
00
00
01
10
00
00
01
11
10
10
00
10
00
01
10
11
10
11
00
11
10
10
10
11
11
00
10
00
00
10
11
00
00
11
10
00
11
00
10
11
00
11
10
10
00
10
10
10
10
11
10
00
10
00
10
01
00
11
01
00
10
00
01
01
10
10
00
11
00
11
01
00
00
10
00
10
11
01
11
10
00
00
10
01
00
11
10
01
10
01
00
10
10
00
11
00
00
11
10
00
00
00
00
10
10
10
10
00
01
10
11
00
11
10
01
10
10
11
01
00
11
00
10
00
00
10
00
10
01
11
11
10
11
00
00
10
10
11
01
00
10
01
01
11
11
10
00
00
10
11
01
01
11
10
01
10
10
11
00
00
10
00
00
10
11
11
00
10
00
00
10
00
01
11
00
11
10
11
00
01
10
11
00
00
10
10
00
01
10
00
01
11
10
00
00
10
11
10
10
10
11
01
10
10
01
10
10
01
00
10
00
10
01
10
10
01
00
10
10
10
01
01
10
10
00
11
10
00
01
00
10
01
10
10
01
00
00
10
10
00
10
00
00
01
10
10
10
10
00
11
10
11
10
00
01
10
00
00
11
11
00
11
10
11
11
00
10
00
10
10
11
00
00
11
11
01
00
11
00
00
11
00
00
10
01
10
00
01
00
00
10
10
11
00
00
11
10
10
00
10
00
10
11
11
00
10
11
01
00
11
10
00
00
10
10
10
00
10
00
01
00
10
00
11
01
01
10
00
11
00
00
10
11
01
00
10
00
10
10
11
01
01
10
10
00
10
00
01
01
10
10
10
00
00
10
10
00
10
10
00
00
00
11
00
10
10
10
11
00
00
01
11
10
00
10
00
10
00
00
11
11
10
11
10
10
00
11
11
00
01
00
00
00
01
11
00
00
10
10
10
10
10
10
11
10
01
00
10
10
11
11
00
01
10
10
00
00
10
10
11
00
00
01
01
01
10
11
11
00
00
10
00
01
10
11
00
10
10
10
00
00
01
10
11
10
10
11
00
01
11
00
00
10
11
11
00
00
10
10
00
11
10
00
10
11
00
11
10
00
10
10
01
00
01
11
10
10
01
00
10
10
10
00
11
00
01
00
00
10
11
10
10
00
00
00
11
00
11
00
11
11
10
10
00
10
11
11
00
01
01
11
10
00
10
00
10
10
00
10
11
00
00
00
11
00
00
10
10
00
10
00
10
10
01
00
10
11
01
01
11
00
01
10
00
00
10
10
00
00
10
00
00
01
10
00
10
00
00
10
10
00
10
10
11
10
00
01
10
11
01
01
00
11
10
11
11
00
00
11
10
00
10
00
00
10
10
11
00
00
10
10
00
00
00
11
10
01
01
00
10
10
11
10
10
00
01
00
01
10
11
11
00
10
10
01
00
00
00
01
11
00
10
10
11
00
10
11
00
10
10
00
01
11
01
01
11
11
01
10
10
00
00
10
10
10
00
10
01
00
00
00
10
10
01
10
11
01
10
01
10
01
10
10
11
11
00
00
01
10
01
01
01
11
11
00
10
10
00
01
11
10
01
10
00
00
01
10
00
00
11
01
00
00
11
10
00
01
01
11
00
00
01
11
01
00
01
10
11
11
10
10
10
00
00
10
11
01
10
11
00
10
01
11
10
10
01
10
11
01
00
11
10
00
01
00
10
01
00
10
10
00
00
10
00
00
11
00
11
00
11
10
00
11
10
01
00
11
11
00
00
00
00
10
00
01
10
11
10
00
11
00
01
01
00
10
00
10
00
11
10
00
00
10
11
01
01
00
10
10
00
10
00
00
11
01
01
01
00
01
11
10
01
00
00
00
01
10
10
10
00
00
00
10
01
00
10
00
11
00
10
01
00
11
10
10
00
01
10
10
00
10
00
10
11
00
11
10
11
11
00
01
00
10
10
10
00
11
00
00
01
10
11
11
10
00
10
10
00
10
10
01
00
10
11
00
10
10
00
10
10
00
00
00
00
01
00
00
10
10
10
00
00
11
00
10
01
10
00
10
11
00
01
10
10
00
01
10
01
00
10
10
10
01
10
11
01
00
10
10
00
11
00
00
11
01
01
00
11
10
11
00
11
00
01
10
10
10
10
00
01
11
10
10
10
00
11
11
01
00
10
00
00
10
10
01
11
10
00
10
11
10
00
01
10
00
10
01
00
10
10
01
01
10
01
01
00
01
10
10
01
10
00
11
11
00
11
11
10
00
00
00
11
00
10
10
01
00
01
10
10
11
10
11
01
00
11
00
00
10
10
00
10
01
11
00
10
10
01
10
00
00
00
00
00
00
10
11
00
01
10
01
10
10
01
10
01
01
00
00
01
10
11
10
10
01
00
10
10
01
00
00
00
10
01
11
00
01
10
10
10
11
01
00
10
11
11
10
10
00
00
10
00
01
10
11
01
10
10
00
10
01
10
10
00
10
10
10
01
00
00
10
01
11
00
00
10
01
01
00
10
10
00
00
10
10
01
00
00
00
10
00
10
10
10
00
00
00
01
10
10
00
11
10
10
01
01
00
01
10
10
00
10
10
00
10
10
00
10
00
00
00
00
11
10
11
10
11
01
01
10
10
11
01
10
00
01
11
00
00
00
11
10
00
00
11
10
10
11
00
11
10
01
10
11
00
11
11
01
00
00
11
10
10
00
00
10
10
10
00
10
00
01
10
01
01
10
00
10
00
00
00
10
11
10
00
00
00
10
01
00
00
01
00
10
10
00
10
10
11
00
00
10
01
00
00
01
10
00
10
10
00
11
10
00
10
00
10
11
00
11
10
01
00
10
01
00
11
10
11
01
00
00
11
00
00
11
00
11
10
01
11
00
00
10
00
00
10
11
10
01
00
10
00
10
10
10
11
01
00
10
00
11
00
01
11
10
00
01
00
00
10
01
00
11
10
10
01
00
10
11
11
00
00
10
00
00
11
11
10
00
01
11
00
00
00
11
11
11
00
11
10
11
00
10
11
01
10
11
10
10
00
11
01
11
10
00
10
10
10
10
01
00
00
00
10
00
00
10
11
11
01
01
10
10
01
10
11
01
00
10
10
10
00
11
10
11
10
00
00
10
11
10
00
00
11
00
00
00
00
10
10
10
00
00
00
10
10
01
10
11
10
10
10
00
01
10
11
01
10
00
10
11
00
11
10
10
00
11
11
00
00
10
10
10
10
10
01
00
10
00
00
00
00
00
10
00
00
00
00
00
00
01
01
00
11
00
00
00
10
10
00
01
10
10
00
01
01
10
10
00
00
10
10
11
11
01
00
01
10
10
01
11
11
00
00
00
01
10
10
10
00
11
00
10
11
10
11
00
11
00
01
11
00
00
11
11
00
00
11
10
00
00
10
10
01
00
00
01
00
10
00
00
00
11
10
00
10
10
01
00
10
11
01
01
01
01
00
10
10
01
10
11
01
00
00
01
10
11
00
10
00
00
01
11
11
01
00
11
10
01
00
10
10
00
00
10
10
00
10
10
00
10
01
00
11
00
00
10
10
11
10
10
01
00
00
00
10
00
00
10
10
10
01
10
00
11
00
00
00
10
10
01
00
11
00
01
00
11
11
11
01
11
01
00
10
00
00
10
11
00
00
00
10
00
01
00
11
00
11
00
10
00
10
10
01
10
10
00
01
00
00
10
01
00
01
10
11
00
01
00
10
00
10
00
11
00
00
00
11
00
11
10
01
10
01
01
10
00
01
10
01
00
10
11
00
00
10
01
01
10
00
01
00
00
10
10
10
10
00
00
01
01
10
10
10
10
00
01
10
00
00
00
01
11
10
11
11
00
10
00
01
10
10
00
00
10
10
00
10
10
10
10
01
00
10
00
00
00
11
01
01
10
10
00
00
00
00
10
11
00
11
10
00
01
11
01
11
01
00
00
00
10
01
00
10
01
00
11
01
10
01
00
10
10
11
11
11
10
00
00
10
01
10
10
01
10
11
00
10
11
10
01
00
01
11
01
10
00
00
10
10
00
01
11
00
00
01
01
11
10
00
10
00
00
10
10
00
00
10
01
10
10
10
00
11
11
10
11
00
00
00
11
00
10
10
00
11
11
10
10
11
00
11
01
01
00
00
10
10
10
01
10
11
11
00
10
00
10
00
11
10
00
00
00
10
10
11
10
10
00
10
00
10
10
01
01
11
11
10
10
11
00
11
10
01
00
10
00
00
01
10
00
01
00
00
11
00
11
11
00
00
11
10
10
00
10
00
00
00
00
10
11
10
10
00
00
11
01
01
11
00
01
10
10
01
01
10
10
00
00
10
00
00
10
00
00
10
11
00
00
10
01
00
01
10
00
00
10
00
10
00
00
00
00
11
10
11
10
11
00
10
11
10
11
00
01
00
00
11
11
00
00
10
00
11
10
10
10
01
11
01
01
11
00
01
10
10
00
00
10
01
00
00
00
11
00
01
00
10
00
10
11
00
00
10
11
10
01
10
00
10
10
00
00
01
11
10
10
01
00
11
11
00
10
10
00
11
01
00
01
10
00
10
01
10
01
11
10
10
10
10
11
00
00
00
11
10
10
01
00
11
11
10
10
11
01
10
10
00
00
01
11
11
01
00
10
10
00
11
00
00
01
00
00
11
10
01
00
01
10
01
00
11
10
00
00
10
10
10
10
00
01
10
00
01
00
10
00
00
10
10
01
00
11
10
00
00
00
11
10
10
01
00
00
11
11
01
01
00
10
01
01
10
00
01
10
00
01
00
10
00
10
10
01
10
10
10
10
00
00
01
10
01
01
00
11
00
01
00
00
11
10
10
10
00
10
01
00
10
10
00
01
10
10
00
00
11
10
01
10
10
10
00
10
10
00
00
11
11
10
01
10
10
00
00
10
11
10
00
01
11
11
10
10
11
10
00
00
10
11
00
00
00
10
00
00
11
00
00
00
10
11
11
10
11
10
10
00
10
01
00
10
10
00
00
10
10
10
00
10
00
10
00
00
10
10
10
10
00
00
10
10
00
01
00
11
00
10
01
00
11
01
10
11
10
10
11
10
00
10
11
01
00
10
01
11
00
00
10
01
01
10
01
10
11
10
00
01
00
10
10
10
10
10
10
00
00
00
11
10
00
00
01
00
01
11
01
00
10
10
00
00
10
01
10
10
00
10
10
10
10
00
01
10
00
10
00
10
10
01
11
11
01
11
01
10
01
01
10
00
01
10
11
00
00
11
01
10
10
11
00
00
10
00
01
11
10
01
00
11
00
11
00
10
11
01
00
11
10
01
00
11
10
00
10
10
00
00
00
10
10
00
10
10
00
00
00
11
10
10
10
10
00
10
00
11
01
01
00
00
01
01
00
11
10
00
01
10
11
00
11
11
01
00
11
00
00
00
00
11
00
00
10
11
10
10
00
11
10
11
10
11
00
00
00
00
10
10
00
00
11
00
00
00
01
00
11
10
00
11
01
11
11
00
01
10
00
11
11
00
01
00
10
11
00
11
11
01
00
10
11
01
00
10
00
00
10
01
11
00
10
10
01
00
11
10
10
01
00
10
10
10
01
00
00
11
10
00
01
11
10
10
11
11
10
00
01
10
10
01
00
00
11
10
11
10
10
00
01
11
10
10
00
11
00
01
10
10
11
10
11
10
00
01
10
11
00
00
10
10
00
11
00
00
01
01
11
10
00
00
11
10
01
00
10
01
00
11
11
10
00
00
10
11
11
10
10
00
00
10
01
01
00
01
01
00
01
10
10
11
01
10
00
00
10
01
10
00
10
10
11
10
11
01
00
10
10
10
01
00
10
10
00
00
00
11
10
10
10
00
00
00
00
11
11
10
01
01
01
10
10
01
00
10
10
11
11
00
01
00
10
10
01
10
10
00
00
10
01
00
00
10
10
10
10
10
10
01
01
10
00
01
11
00
00
00
10
00
01
00
10
00
01
10
01
10
00
10
00
10
00
00
10
01
11
00
10
10
00
10
00
01
10
10
10
01
00
10
01
01
10
10
10
01
01
00
10
10
01
00
10
11
00
00
00
01
00
10
10
00
00
01
10
10
10
01
01
00
10
00
00
10
00
01
00
10
11
01
01
11
10
10
01
10
00
00
10
10
11
01
00
10
00
10
01
10
00
10
11
10
10
00
01
01
11
01
11
10
10
00
10
00
01
10
10
00
10
01
10
10
10
11
00
11
10
10
11
10
01
11
10
00
00
10
10
11
01
10
10
00
00
10
11
10
01
10
10
00
11
00
00
00
10
10
00
01
10
00
10
11
00
00
10
10
00
10
00
00
00
10
10
00
00
11
01
10
00
01
01
00
00
10
10
10
10
10
00
00
10
01
01
11
10
01
10
01
11
11
00
10
01
10
00
01
10
00
01
00
10
00
00
10
00
11
00
10
10
11
10
10
11
11
11
01
01
00
00
11
01
11
10
10
01
00
01
00
11
11
10
00
00
00
10
10
10
10
01
10
10
01
00
01
01
00
11
01
00
01
01
00
10
10
00
00
11
10
00
10
10
11
11
01
10
00
11
10
01
01
00
10
10
01
01
11
11
01
11
10
00
11
01
01
00
00
11
00
10
10
10
01
00
11
10
11
10
01
00
00
01
11
10
01
10
11
11
00
01
00
10
11
10
00
10
11
00
10
00
11
11
00
10
10
11
00
10
00
00
00
00
11
11
01
00
11
11
00
10
10
00
10
00
00
10
10
00
01
10
10
10
11
10
00
01
10
10
00
11
10
00
00
00
00
01
00
11
10
10
01
01
00
10
00
00
10
11
10
00
01
10
10
00
00
00
01
00
10
11
00
00
00
11
10
00
10
11
11
00
00
10
10
01
10
11
00
00
00
10
10
10
10
01
10
10
00
10
10
00
00
11
11
01
11
01
10
00
00
11
11
00
00
10
11
01
00
10
10
00
11
00
10
10
01
00
00
10
01
00
00
10
00
10
00
00
00
11
11
11
11
00
11
00
10
10
10
00
00
00
01
11
10
01
11
01
01
10
10
00
10
11
10
00
10
11
00
00
11
11
00
11
00
00
00
10
10
10
11
00
01
10
10
00
10
11
10
01
00
11
00
11
00
00
11
10
10
00
10
10
11
10
00
01
10
01
00
00
00
00
00
00
10
10
00
01
10
01
01
10
10
01
00
11
01
00
10
10
00
11
01
00
11
00
00
00
10
01
01
10
10
10
11
00
10
00
11
00
11
00
10
11
10
10
00
01
10
10
10
01
01
11
10
10
10
00
01
00
11
10
10
10
00
01
00
11
00
11
11
00
00
00
11
11
01
00
10
00
00
00
10
00
00
10
00
11
10
10
00
10
10
00
10
11
00
10
01
10
00
10
11
00
11
00
00
00
10
00
10
11
01
11
10
11
01
10
10
10
01
00
10
01
10
11
01
11
00
00
10
10
01
10
11
01
11
10
11
00
01
10
10
01
10
00
01
10
10
10
01
11
10
10
00
10
00
00
00
11
10
00
10
00
10
10
00
00
10
10
00
00
10
10
10
00
00
00
00
01
00
00
00
00
10
00
10
10
10
00
10
00
00
11
01
10
11
00
10
10
00
01
10
11
01
10
11
00
11
11
01
00
00
10
01
10
11
00
10
11
10
01
10
01
00
00
10
10
01
10
10
01
10
01
00
00
10
00
10
10
00
01
10
11
00
11
00
00
00
10
11
10
00
01
10
11
10
10
10
10
00
00
00
10
10
10
11
01
01
10
11
01
10
01
10
10
00
11
10
00
00
10
10
10
10
10
10
00
00
10
10
10
10
11
00
00
00
10
11
00
00
11
11
11
00
01
10
00
10
00
11
11
00
01
00
01
10
10
11
10
00
00
11
10
11
00
10
11
11
00
00
00
11
10
01
01
11
11
01
00
00
10
00
01
10
11
10
00
01
10
00
00
11
10
10
00
10
01
11
10
00
01
10
00
10
00
00
10
10
00
10
10
00
10
00
11
00
00
01
00
01
11
10
01
10
11
10
01
00
10
10
00
00
10
11
11
10
10
11
00
10
10
00
10
00
01
10
00
01
10
01
00
00
00
01
10
00
10
11
01
00
11
00
11
10
00
10
10
10
00
00
11
11
10
01
00
10
10
00
10
11
00
01
10
11
01
01
11
01
10
00
00
10
10
00
00
10
10
10
10
00
10
00
00
01
01
10
00
01
00
11
11
10
10
00
01
10
00
00
01
10
11
00
00
00
00
01
11
01
00
10
00
00
10
00
10
11
01
10
01
00
10
00
00
01
01
11
11
11
01
10
00
01
10
11
00
00
10
00
01
00
00
10
00
10
01
10
01
00
00
10
00
00
11
10
00
00
00
11
01
00
00
11
01
10
00
11
10
10
10
00
01
11
00
00
00
10
01
00
10
10
00
00
01
10
11
01
00
10
10
00
10
10
00
10
00
01
01
11
00
11
10
11
11
00
10
11
00
00
01
10
10
11
00
00
01
10
00
10
00
10
00
00
01
00
10
10
00
01
00
10
10
11
00
00
00
11
10
01
10
10
11
00
00
10
01
01
00
11
01
00
00
10
10
11
00
00
10
11
10
01
01
01
10
11
00
11
00
11
00
00
10
00
00
10
11
11
01
00
00
10
10
00
00
00
10
10
00
10
00
00
10
00
10
10
11
00
00
01
00
10
10
01
10
00
00
01
01
10
11
01
10
10
01
00
10
01
00
11
10
10
00
10
10
01
10
10
11
11
11
00
11
11
10
00
01
00
00
01
10
10
00
00
01
10
00
10
00
00
00
10
00
11
00
01
10
10
10
11
01
00
00
11
11
00
01
01
10
11
10
00
10
10
10
10
00
01
10
01
11
11
11
10
11
11
01
00
10
10
01
00
10
10
00
00
10
10
00
00
11
01
00
10
10
10
11
01
10
00
10
00
00
00
00
10
10
00
00
00
10
00
00
00
00
10
11
01
01
01
11
01
10
00
00
10
10
00
01
11
10
01
10
10
10
11
10
00
00
10
00
10
11
00
01
10
10
01
00
10
00
00
10
00
01
10
11
11
00
00
00
00
00
00
11
10
00
00
10
00
10
10
00
00
11
10
10
00
10
10
00
10
00
10
10
11
10
10
10
10
01
10
10
00
00
10
10
11
11
10
01
00
00
00
10
00
10
10
10
01
01
10
10
00
10
00
10
10
00
10
00
10
01
00
10
01
00
11
10
01
01
00
11
10
00
00
00
10
11
01
01
11
00
10
10
11
01
11
11
01
00
11
11
00
00
10
10
00
10
11
11
00
01
10
00
10
01
10
01
01
10
01
00
00
11
00
00
00
00
10
00
10
10
00
01
00
10
00
10
11
01
10
00
01
11
10
10
00
00
10
01
10
11
11
00
00
10
10
00
01
01
10
11
01
11
11
01
00
00
11
10
10
00
00
10
00
00
00
01
10
00
10
10
01
10
00
11
10
11
01
11
10
10
10
00
00
10
00
00
01
10
10
00
01
11
00
00
11
01
00
11
10
01
00
10
00
10
11
00
10
10
01
10
01
11
00
00
00
01
01
00
10
00
10
01
10
10
01
10
11
00
00
10
10
00
01
10
10
11
00
01
11
01
00
11
11
10
11
01
00
11
10
00
11
00
00
10
00
00
10
10
00
11
10
00
00
00
01
10
10
10
11
00
00
10
00
10
00
11
10
11
00
10
10
00
10
10
10
01
10
01
11
00
10
10
00
10
10
00
10
00
01
01
00
00
10
00
00
10
10
10
01
00
10
01
01
10
10
10
00
01
00
10
10
10
00
10
10
00
00
11
10
00
10
01
00
10
11
00
01
01
00
11
10
10
00
10
10
01
00
00
00
00
10
11
00
11
00
00
11
01
10
01
10
00
01
10
01
11
00
01
10
10
11
01
01
10
11
10
00
00
10
10
01
01
00
00
10
11
00
00
11
01
00
11
00
11
01
10
01
00
10
10
01
00
10
11
01
10
00
01
11
00
01
10
01
01
11
10
00
00
10
10
10
00
00
10
10
00
00
10
10
01
10
10
10
00
01
11
00
10
10
01
10
00
00
00
10
10
11
11
00
11
01
10
10
10
00
10
11
00
00
10
00
10
11
00
10
00
00
10
01
01
01
00
10
10
10
00
00
00
10
00
00
01
11
10
10
01
10
11
10
11
00
00
01
00
11
10
01
10
11
01
01
00
00
10
11
00
01
10
10
01
00
10
00
01
11
11
01
10
10
00
11
10
01
00
10
00
10
10
11
01
00
01
00
10
01
00
10
01
11
10
00
00
10
10
00
00
11
10
00
00
10
01
11
10
00
10
10
11
10
01
00
10
00
10
01
00
11
00
10
10
00
00
00
00
10
00
10
10
00
11
11
00
01
10
00
10
11
00
00
10
11
00
11
01
00
01
00
11
10
00
01
10
01
00
01
10
00
11
11
00
10
10
00
11
11
01
00
10
10
00
10
10
11
00
00
11
00
10
11
10
10
11
00
00
00
10
01
10
01
10
11
10
10
00
00
00
10
11
00
01
10
00
11
00
00
01
11
10
10
10
10
00
00
11
00
11
00
00
00
00
10
00
00
10
11
00
10
00
00
01
11
11
11
11
00
10
00
10
10
00
00
10
00
00
00
00
10
00
01
00
00
10
10
10
10
00
01
01
10
10
10
00
10
00
11
10
11
00
10
11
01
01
10
00
11
11
00
10
10
00
00
01
00
01
00
10
01
00
11
11
00
00
10
10
00
10
10
10
00
00
11
10
10
11
00
01
10
10
11
11
00
00
10
10
11
00
00
00
00
11
01
10
10
00
10
10
01
01
10
11
00
00
10
10
00
00
11
10
10
00
10
00
00
11
00
10
10
10
10
01
11
11
10
00
10
01
11
00
00
11
10
00
11
00
00
11
10
00
10
10
00
11
10
10
11
01
10
01
11
00
10
11
10
11
00
00
11
11
01
10
10
00
00
01
10
11
00
00
10
00
00
10
11
10
10
00
11
00
00
00
10
00
10
10
00
10
10
01
11
10
01
01
01
11
00
10
01
10
00
01
10
10
00
11
10
00
10
10
00
01
11
10
10
11
10
11
01
00
10
01
10
10
00
01
10
11
00
00
10
10
00
10
11
00
00
00
11
00
00
00
10
10
11
10
00
10
10
00
00
00
10
00
00
01
10
11
10
00
00
10
11
00
11
11
00
01
00
00
00
00
11
11
00
01
00
00
10
01
00
10
11
11
00
01
00
11
00
01
10
10
00
01
11
00
00
10
10
00
10
01
00
00
10
10
00
00
00
10
01
10
00
10
10
00
00
10
10
10
10
11
11
11
11
01
11
00
01
00
01
11
10
00
10
00
00
01
11
11
10
00
10
00
11
00
10
10
00
11
01
01
00
10
10
10
10
01
10
11
01
01
00
11
00
00
01
00
10
10
00
00
10
11
11
00
01
11
00
00
11
10
10
10
00
00
10
01
00
11
01
10
11
11
10
11
00
01
11
01
10
00
01
10
11
01
01
11
11
00
00
01
00
10
10
00
01
00
00
10
00
00
00
10
10
00
01
10
00
00
01
10
00
00
11
10
00
10
10
00
01
11
00
00
00
10
01
00
11
11
11
01
11
01
10
10
00
01
10
10
00
01
10
10
00
00
11
01
00
10
00
10
11
00
10
00
10
10
01
00
00
10
10
10
10
10
11
01
10
00
00
10
10
11
00
10
01
00
10
11
10
10
11
00
01
00
10
11
00
10
11
11
01
10
01
01
00
00
00
10
10
00
01
11
00
00
10
01
11
11
00
00
00
10
10
10
00
00
01
10
10
11
00
01
10
00
11
10
00
10
00
01
01
01
10
10
11
00
01
10
01
00
10
00
00
00
10
11
10
00
00
10
11
00
00
10
00
00
01
00
00
10
10
10
11
00
10
01
11
11
11
10
00
11
01
10
01
00
11
00
00
00
10
10
00
00
10
10
00
10
10
10
00
01
01
11
00
01
00
10
10
00
00
11
00
01
10
00
00
00
00
11
01
10
10
11
10
11
10
00
01
00
00
10
10
01
00
01
10
00
01
00
11
00
10
10
01
00
10
10
01
10
10
00
00
01
00
10
11
10
10
10
10
00
00
00
10
11
00
00
10
10
11
10
00
01
00
10
00
00
01
11
10
10
10
01
10
10
00
11
11
00
10
10
00
00
10
10
00
10
10
00
00
00
11
10
11
00
01
00
10
00
01
01
01
11
10
10
11
10
10
10
00
00
10
10
00
00
10
10
00
00
00
10
11
11
10
10
10
10
00
10
10
00
00
10
00
01
00
01
00
10
11
00
11
10
01
01
10
10
10
10
00
11
10
00
11
00
11
11
00
00
10
11
11
00
10
10
10
10
10
10
01
11
10
00
01
10
11
00
11
00
11
01
10
00
00
10
01
10
01
10
10
11
00
00
10
01
00
00
00
10
11
00
01
00
00
10
10
00
10
10
00
00
10
01
11
00
10
10
11
10
10
00
10
01
00
00
01
10
10
00
00
10
10
10
00
00
11
00
10
01
01
10
10
00
10
10
01
00
10
10
10
11
10
00
10
10
01
00
10
10
01
10
00
10
01
00
10
00
00
11
10
10
00
00
11
00
10
10
01
00
01
01
10
10
10
10
10
10
00
01
00
01
10
00
10
10
01
10
10
00
10
00
11
01
01
00
11
01
00
00
00
11
11
10
01
00
00
10
10
10
00
11
10
01
10
00
10
10
10
10
00
10
00
00
10
00
01
00
11
00
01
10
10
10
00
10
10
01
00
10
10
10
11
01
10
10
10
00
00
10
10
10
10
00
10
01
00
10
01
10
00
00
01
01
00
00
11
10
10
00
00
00
11
10
10
11
00
01
11
10
10
01
01
11
10
01
00
11
10
01
11
01
01
10
01
01
10
10
00
00
10
10
01
01
10
01
01
11
10
00
00
00
00
10
00
00
10
11
10
00
01
10
10
10
10
10
11
00
01
00
11
00
11
00
00
11
10
00
00
01
10
11
00
00
00
10
10
10
11
00
01
00
00
01
10
11
01
01
10
10
00
01
00
11
10
01
01
01
01
11
01
01
01
01
11
11
00
01
01
00
00
11
10
00
00
10
00
00
10
10
11
01
00
00
00
11
00
01
10
10
00
00
10
10
10
01
10
11
11
01
11
10
01
10
00
10
01
00
00
00
00
00
10
00
11
11
00
11
00
10
00
01
10
10
01
00
10
00
11
10
10
01
00
01
11
00
10
10
10
00
10
10
10
00
01
10
10
11
10
11
10
00
00
11
00
00
00
10
01
01
10
11
00
01
10
00
10
10
00
01
10
11
01
00
00
11
10
11
00
10
01
11
11
00
10
11
10
00
10
10
00
00
11
00
10
01
00
11
00
00
01
00
10
11
00
01
10
00
10
10
00
00
10
01
00
10
10
10
10
00
00
11
01
00
11
01
10
11
11
10
11
00
00
00
00
11
11
10
10
11
00
10
01
01
10
00
00
10
00
10
10
11
11
01
10
10
11
10
01
00
11
11
11
10
00
00
10
01
11
10
10
11
01
00
01
10
11
00
11
11
11
00
00
00
10
11
10
00
00
10
10
10
11
00
10
00
00
11
10
00
00
01
10
00
10
00
01
10
10
10
00
00
00
10
01
00
11
11
00
01
11
01
00
10
10
01
11
10
10
00
11
11
11
00
10
01
11
00
11
11
00
11
10
00
00
11
00
01
00
10
10
00
11
00
01
10
10
10
10
10
00
11
10
10
11
10
10
10
00
00
10
10
10
10
01
10
10
00
10
10
11
11
00
01
10
01
01
01
11
01
00
11
01
10
00
10
10
00
00
11
00
10
00
10
10
11
00
00
10
01
01
01
01
00
00
11
00
10
10
11
10
01
00
10
10
00
01
00
01
10
10
10
01
00
01
01
11
01
01
00
11
00
00
01
11
11
01
00
10
01
10
01
10
10
00
01
11
10
00
00
10
10
10
01
10
11
00
11
00
10
00
00
01
10
10
01
00
00
00
10
01
10
00
00
10
00
11
11
10
00
00
00
10
11
00
00
11
00
01
01
00
10
10
00
11
10
00
01
10
00
10
00
11
01
11
00
01
10
00
00
00
10
00
10
10
00
00
10
10
10
00
10
11
10
10
01
11
11
00
10
00
01
11
10
10
00
11
00
00
00
01
00
10
00
00
01
10
10
00
00
00
10
10
00
10
00
10
10
10
11
01
00
11
10
00
10
00
11
11
01
10
10
00
00
01
01
00
10
00
00
11
10
10
01
00
11
10
10
01
10
11
10
01
01
01
01
10
10
01
11
00
10
00
10
00
10
00
10
11
01
10
00
11
01
00
00
00
01
10
00
00
11
00
00
00
10
11
00
00
10
10
00
00
10
10
10
00
11
00
00
10
01
00
10
11
00
01
11
11
00
01
10
10
11
00
10
00
00
10
10
00
11
00
00
10
10
01
00
10
00
01
10
10
11
00
11
10
10
10
00
11
10
11
10
10
01
10
00
10
10
00
11
10
10
01
10
01
10
01
00
01
01
11
11
00
01
10
11
00
11
10
10
01
00
01
11
01
00
01
00
10
11
01
10
01
11
10
11
11
01
00
10
10
11
11
01
10
11
10
11
10
11
00
00
10
10
00
00
00
10
10
11
11
11
10
01
10
10
11
01
10
10
11
00
01
11
10
01
00
10
11
10
01
10
00
00
10
11
00
00
10
10
00
00
00
10
11
10
10
10
01
10
00
00
10
10
10
10
00
00
10
00
00
00
10
10
00
00
10
10
10
00
10
01
01
01
00
00
10
11
10
00
00
11
10
00
01
11
11
00
00
11
11
10
01
01
00
11
10
11
00
01
10
11
10
10
10
00
00
10
11
01
10
00
10
10
11
00
00
10
00
11
11
00
01
10
11
10
10
10
10
01
00
00
10
00
00
10
11
10
00
00
01
00
11
00
10
00
00
00
10
10
00
00
10
00
01
10
00
10
00
01
10
10
10
11
11
10
01
11
11
01
00
01
10
10
00
00
10
10
00
00
00
10
10
10
00
00
10
10
10
00
11
10
10
01
00
10
10
00
00
00
01
10
10
11
10
10
00
10
10
01
00
01
10
11
00
00
11
01
10
10
01
00
10
10
00
10
11
10
10
01
00
10
00
01
00
11
10
00
11
10
00
01
10
00
00
01
10
11
10
10
11
00
01
00
00
10
00
01
00
10
10
00
10
00
10
00
01
00
00
10
00
00
00
10
00
10
10
00
10
10
01
00
10
11
00
01
10
10
11
10
00
00
11
11
01
11
10
00
10
10
00
00
11
11
11
11
00
11
10
11
00
01
10
10
00
00
01
10
10
01
10
11
11
00
10
00
00
11
00
01
01
00
10
11
01
11
10
00
10
10
00
10
11
01
00
01
00
10
10
11
10
00
00
10
10
00
01
00
10
11
00
11
11
00
10
00
00
10
10
00
00
10
10
00
10
00
00
10
00
10
11
00
10
00
00
01
00
11
10
00
00
00
10
11
00
01
00
10
11
10
00
11
10
01
10
10
10
00
10
10
00
10
01
11
01
00
01
10
00
01
00
01
11
11
01
00
00
10
10
00
10
11
00
00
00
00
00
10
10
00
11
10
00
01
11
11
00
01
10
00
11
10
00
01
01
10
00
01
10
00
11
11
00
00
00
10
10
10
11
00
00
11
10
01
11
10
11
10
00
01
11
11
01
10
10
10
00
10
10
00
10
10
10
10
00
10
10
00
00
00
10
00
11
10
00
10
10
10
00
10
10
01
10
10
10
00
10
10
00
00
11
00
00
00
10
01
00
11
10
00
11
10
00
00
00
10
01
01
10
00
00
10
10
10
00
00
10
10
11
00
00
00
10
11
01
00
11
00
11
10
01
11
00
11
00
10
00
00
10
10
01
10
11
00
11
01
10
10
11
11
00
01
10
10
11
01
00
10
11
10
00
01
10
01
11
10
01
00
00
11
00
00
11
01
00
10
01
10
10
10
10
10
01
11
00
00
00
11
10
10
01
00
10
10
10
01
00
00
00
00
11
00
00
10
10
11
00
00
10
11
00
01
00
00
01
00
01
11
10
11
10
10
11
01
00
00
10
10
00
10
10
00
01
00
01
11
00
00
10
11
10
10
00
00
00
11
00
00
11
10
11
00
10
11
11
00
10
10
01
10
11
00
10
01
10
10
00
11
11
00
10
01
10
11
01
10
10
00
00
00
10
01
10
10
10
00
01
10
01
10
10
01
11
00
11
10
00
11
10
00
10
01
01
10
11
01
00
10
00
00
01
10
10
11
10
10
11
00
00
10
10
00
11
00
10
00
00
10
01
10
00
00
11
01
00
01
10
10
11
11
00
00
00
10
00
10
00
10
11
00
11
00
00
10
00
11
10
10
00
00
01
00
10
01
10
11
11
10
00
10
00
01
11
00
00
00
11
01
11
00
00
10
10
11
01
10
00
00
11
10
10
10
11
01
11
00
00
00
00
01
00
01
10
10
10
11
10
00
01
11
00
00
00
10
00
00
11
00
00
00
10
00
01
10
10
01
11
01
01
01
11
01
00
00
10
10
00
00
10
10
10
00
10
10
00
00
00
00
11
10
10
10
00
00
10
10
11
10
00
00
00
00
11
01
11
11
10
00
00
11
01
00
11
10
11
00
00
10
00
00
10
11
00
00
10
10
00
10
00
01
01
11
01
11
11
10
00
01
10
11
00
01
01
00
10
10
00
00
10
10
00
00
01
11
11
01
00
01
00
11
10
10
00
00
00
11
10
00
10
10
00
10
00
10
10
01
11
00
00
10
11
00
10
10
00
11
00
01
10
00
00
10
10
00
10
10
00
10
00
00
11
11
00
10
00
10
10
11
10
01
10
01
00
01
10
10
00
00
01
00
11
10
11
01
01
00
11
10
00
00
01
10
11
00
00
00
00
00
10
00
10
00
00
00
11
11
00
10
11
10
11
10
01
00
00
11
10
10
10
00
01
01
00
10
10
10
00
00
10
10
00
00
00
10
00
00
11
00
01
11
11
00
00
11
11
10
10
10
00
00
01
11
00
01
11
10
00
01
00
01
10
10
00
10
00
01
11
10
10
00
00
11
00
00
10
10
11
11
11
00
00
10
00
00
11
00
00
01
10
10
00
10
00
11
00
00
11
11
11
11
11
00
10
11
10
01
00
11
11
10
01
10
01
01
00
00
00
01
10
00
00
00
10
10
00
01
00
10
00
10
01
00
00
10
01
11
10
00
11
00
11
10
00
00
11
10
10
00
00
00
00
10
11
00
00
11
11
10
10
00
01
01
10
01
00
11
10
10
00
00
11
11
11
00
00
11
10
10
01
01
00
10
00
10
11
00
01
01
10
10
10
10
00
01
00
10
10
00
01
10
10
01
10
00
10
10
10
10
11
11
00
01
10
01
00
10
10
00
01
11
11
01
00
11
01
10
10
11
00
11
11
01
10
11
00
11
00
10
11
11
00
00
01
10
10
00
11
00
10
01
01
11
10
11
00
00
11
10
10
00
00
01
10
11
00
01
10
00
11
11
01
10
10
00
10
11
10
10
11
10
10
10
01
01
00
10
01
10
00
10
10
00
00
00
01
00
11
11
11
00
10
11
01
11
00
00
11
00
10
10
11
00
10
11
00
00
10
00
01
00
11
00
01
10
01
00
00
01
10
11
00
11
10
10
00
00
00
00
11
10
11
01
01
00
11
00
01
10
10
00
00
00
10
00
10
10
00
01
10
01
00
00
00
01
00
11
01
00
00
10
11
10
00
00
10
01
10
01
00
11
11
11
00
11
11
00
00
01
10
10
01
01
10
01
10
10
10
10
11
01
00
00
11
10
10
01
10
10
10
00
01
10
11
00
11
10
10
10
00
10
10
10
00
10
10
00
10
10
10
11
00
10
00
10
00
00
10
11
10
00
11
10
10
00
10
10
00
00
00
00
00
10
01
10
00
01
10
01
11
11
10
00
10
11
11
00
00
10
01
00
01
01
10
10
10
00
00
10
10
00
00
00
10
10
11
11
01
01
11
10
11
10
00
11
10
01
00
11
10
00
00
11
10
00
00
11
10
10
10
11
00
00
00
00
10
10
10
00
00
00
11
10
10
00
10
11
10
01
00
10
00
00
01
00
10
10
10
00
00
11
10
11
00
00
01
10
00
00
01
10
10
01
00
00
10
00
00
11
00
11
10
00
00
10
11
01
01
10
10
00
01
11
01
10
00
01
10
11
00
00
10
11
00
10
10
01
00
01
10
10
10
10
10
10
00
01
10
00
10
00
00
10
00
00
00
10
00
10
10
01
00
10
01
00
00
01
10
10
00
01
11
10
00
01
00
11
11
01
01
10
10
10
11
00
10
11
01
01
00
01
10
00
00
01
01
00
10
10
10
11
10
00
10
00
11
10
00
00
00
11
10
00
00
10
00
00
10
10
00
10
10
10
11
00
10
00
00
01
00
10
00
00
10
10
10
00
00
11
11
00
00
00
11
00
10
11
00
11
10
10
00
00
11
10
01
10
00
00
11
01
10
01
00
11
10
00
10
01
00
10
10
01
00
00
11
10
00
01
10
11
11
00
00
00
11
00
10
10
00
01
00
00
11
10
01
00
11
00
00
11
10
10
00
00
10
10
00
01
01
00
10
10
01
11
10
00
11
00
00
11
01
10
01
10
10
00
00
11
00
01
11
00
01
00
01
00
11
11
00
00
10
10
00
00
11
10
00
01
10
01
10
01
00
00
10
10
00
11
00
01
00
00
11
10
10
00
10
01
11
00
01
00
10
00
11
10
10
00
11
11
01
01
11
10
00
01
10
01
00
10
10
11
00
10
10
11
00
00
00
01
00
10
00
00
10
10
00
10
01
00
10
01
10
11
11
11
00
00
11
10
10
00
10
00
10
00
00
01
01
10
00
11
01
00
01
10
10
00
11
01
01
00
10
00
01
00
10
00
01
01
00
10
10
10
10
01
10
01
10
11
11
10
10
01
00
10
00
00
11
10
01
10
10
10
10
00
00
01
01
10
10
10
10
10
10
10
00
00
10
00
00
11
00
01
00
10
01
00
10
01
00
10
10
10
00
01
10
10
10
00
00
00
00
10
11
01
10
10
00
01
11
01
00
10
01
00
10
10
00
00
10
11
01
11
10
00
01
10
00
10
01
01
00
11
00
01
10
10
00
00
10
01
00
11
00
00
00
01
00
01
01
01
11
11
10
00
00
11
11
00
00
10
10
10
00
11
11
11
00
01
00
00
10
00
00
10
10
10
10
01
00
10
00
10
01
10
11
00
11
10
10
00
10
00
11
11
00
01
00
10
11
00
11
10
00
00
00
10
11
01
00
10
11
00
00
10
00
00
10
00
01
11
01
10
00
10
11
00
00
10
10
01
11
10
00
00
00
10
00
00
10
00
00
10
00
01
10
00
01
10
00
10
00
01
01
00
11
00
10
01
10
10
10
00
10
10
00
00
10
11
10
10
00
00
00
10
11
10
10
10
11
01
00
00
11
01
11
00
10
10
01
00
10
00
01
00
11
10
00
10
11
10
10
10
10
10
00
10
00
01
10
11
11
10
00
00
01
01
01
10
10
10
10
10
00
00
00
10
11
11
00
10
10
00
10
11
01
00
10
10
00
11
00
00
11
10
10
00
11
11
01
01
11
01
10
01
11
01
00
11
11
01
00
10
00
10
00
00
10
11
11
11
10
01
00
00
00
11
00
10
10
00
01
01
01
11
01
01
11
11
11
11
01
00
10
00
00
10
11
00
00
00
11
00
01
10
01
10
10
10
10
10
01
01
11
10
10
01
10
10
00
01
11
10
01
10
10
00
01
01
11
00
00
10
10
00
00
11
11
10
10
00
00
11
00
00
00
10
10
10
10
00
00
11
10
00
10
10
11
11
10
00
00
10
00
00
01
10
00
01
00
11
01
10
10
00
10
10
00
00
00
11
10
10
10
10
00
00
00
10
00
00
11
10
11
10
10
01
10
00
10
10
00
01
10
00
01
10
00
00
00
00
10
00
00
11
10
00
10
10
00
00
00
10
00
10
00
00
10
10
10
11
10
01
10
10
10
10
01
01
11
10
00
10
10
11
10
00
01
10
01
01
00
10
10
01
11
00
01
00
01
11
10
11
01
10
01
01
10
10
00
00
10
10
00
11
11
00
01
11
10
01
11
11
11
11
00
00
10
11
00
00
10
10
11
10
10
00
11
11
00
10
11
00
10
01
00
10
11
01
11
11
00
00
01
00
00
11
10
01
10
01
11
10
00
00
00
00
10
10
10
00
01
01
01
10
01
01
10
10
11
10
01
10
10
01
10
10
10
11
00
11
11
00
00
00
11
10
10
00
01
10
11
10
01
10
01
00
10
11
00
10
11
00
01
00
10
10
10
10
00
00
11
00
00
00
10
00
00
10
01
00
00
11
11
10
10
11
11
01
00
00
10
00
11
11
00
00
00
00
00
10
10
11
00
01
11
01
01
10
10
01
00
11
00
10
01
10
10
10
10
01
00
01
01
01
10
00
10
00
00
11
10
00
10
10
00
00
11
01
11
10
10
01
00
01
10
01
00
11
00
10
10
00
00
11
00
00
11
10
01
00
11
00
00
10
00
11
00
00
11
11
10
10
00
00
10
00
01
11
11
00
10
10
00
00
10
10
11
00
01
00
11
10
00
01
11
00
00
11
11
01
01
01
01
11
10
11
10
00
01
00
00
01
10
10
10
10
00
00
10
00
01
11
11
00
00
00
10
10
01
01
10
11
00
10
01
10
10
10
00
01
10
10
00
10
00
10
11
10
00
01
01
01
00
10
11
00
10
10
00
00
10
10
11
10
01
01
00
01
00
11
00
10
10
10
10
00
10
10
01
10
10
10
11
10
01
00
00
10
10
00
01
10
11
00
10
00
01
01
10
11
10
11
10
10
10
10
10
00
00
11
00
10
00
01
11
10
01
01
01
10
10
11
11
00
00
10
01
00
10
00
11
10
01
00
11
00
00
10
10
10
10
10
00
10
10
00
10
10
11
10
00
01
11
10
11
01
01
11
00
11
10
01
01
00
10
00
01
10
10
00
10
00
10
00
11
11
11
10
01
00
10
10
00
11
00
10
10
11
10
00
10
01
01
10
01
11
10
00
00
01
00
10
11
00
11
01
10
10
00
11
10
11
01
10
00
10
10
10
00
00
10
00
10
00
10
11
10
11
10
11
01
00
00
11
11
11
01
01
11
01
00
01
00
10
11
11
01
00
11
10
00
01
11
10
01
00
10
11
00
00
10
01
00
10
10
01
10
01
00
11
01
00
11
00
00
10
00
00
01
11
10
01
11
01
00
01
10
10
00
01
10
10
00
10
10
01
00
10
10
00
11
10
10
11
10
10
10
00
01
10
10
00
10
10
10
00
00
10
10
10
10
00
01
10
11
10
00
00
11
00
10
10
10
00
11
11
00
00
11
11
11
11
00
01
01
11
11
10
10
00
00
00
00
11
10
10
00
00
01
00
00
10
10
10
00
00
00
10
00
00
01
10
00
00
10
10
10
10
01
01
00
10
00
10
00
00
11
11
00
10
10
10
00
00
10
10
10
01
00
10
10
01
01
01
00
11
00
10
01
11
11
00
10
10
00
10
10
00
01
10
10
11
01
10
10
10
00
10
10
01
00
10
00
11
00
11
00
00
10
11
11
10
00
00
10
10
00
10
00
10
00
10
11
11
00
00
10
00
10
10
10
01
11
11
11
10
10
11
01
11
00
01
10
10
00
11
01
00
10
11
00
11
01
10
11
00
00
00
10
10
11
10
10
00
00
11
11
00
10
00
11
10
00
10
01
00
11
00
11
01
01
11
11
10
01
01
10
00
01
10
00
00
10
00
00
10
10
00
11
10
01
01
11
10
10
01
00
00
10
11
00
00
00
01
10
00
10
10
10
00
10
10
00
00
01
00
10
10
00
00
10
10
10
10
10
11
10
11
01
10
11
00
10
01
01
10
01
00
00
11
11
11
11
01
11
10
01
10
00
01
01
00
10
10
00
10
10
01
00
00
11
10
00
00
11
10
11
00
00
10
01
00
01
00
10
01
10
01
11
00
11
00
01
00
00
10
11
01
00
00
10
10
00
11
00
00
10
10
00
01
00
00
01
10
01
10
11
01
00
11
10
00
00
10
00
00
10
11
01
10
11
10
10
00
10
00
11
11
00
00
10
00
01
00
00
10
01
00
10
11
10
01
10
11
00
00
00
01
10
11
11
01
10
10
00
10
00
10
00
00
01
10
11
01
00
11
10
00
00
00
00
01
00
10
10
01
10
11
11
00
10
10
00
00
10
10
01
00
01
01
11
10
11
10
01
10
00
10
10
00
00
01
10
11
00
10
10
01
00
10
10
01
01
00
11
10
11
00
10
10
01
11
00
11
10
00
01
00
11
00
01
10
01
00
01
00
10
00
00
00
11
01
10
11
01
10
00
00
01
11
01
10
11
10
00
10
11
01
10
10
11
01
10
00
00
11
00
00
10
00
00
10
10
10
00
11
10
10
10
11
11
10
10
11
00
00
00
00
00
10
11
00
11
00
01
10
00
01
11
00
00
00
10
10
00
10
10
11
00
00
01
00
11
10
11
01
00
10
10
10
10
00
11
11
01
10
00
11
11
01
10
10
00
00
00
10
00
10
10
00
10
00
00
10
01
00
00
10
10
00
00
01
11
01
01
10
11
10
10
10
00
10
10
01
00
00
10
10
10
11
00
00
10
10
00
11
10
01
11
10
00
10
00
10
10
00
00
01
01
11
00
10
10
10
10
00
11
10
11
10
01
00
01
10
10
10
00
10
00
00
11
10
00
11
00
10
11
01
10
10
10
00
00
10
11
00
10
00
11
00
00
11
00
00
00
10
11
00
01
00
11
11
11
00
01
00
00
00
10
10
10
00
01
00
11
10
11
10
10
01
01
10
11
11
11
10
00
00
10
11
01
10
11
01
01
11
00
11
10
10
01
00
00
11
01
10
00
00
10
00
00
01
10
00
10
00
10
10
10
11
10
11
01
01
10
10
00
10
00
00
00
10
01
00
11
11
10
00
00
10
10
00
00
10
10
01
10
10
10
10
00
10
01
10
00
01
11
01
10
11
00
01
00
10
11
00
10
11
00
10
10
00
01
00
10
10
10
01
01
01
11
10
11
00
10
10
00
00
11
10
00
00
11
10
00
10
01
00
10
01
10
10
10
10
11
00
01
00
01
10
10
10
00
11
01
10
11
00
01
01
00
01
00
10
11
10
00
11
00
00
01
10
10
10
00
10
11
01
01
00
10
11
01
00
10
00
10
10
10
00
00
00
01
00
00
10
01
10
10
11
01
00
10
11
00
10
11
01
11
00
10
10
10
10
01
01
11
10
00
10
10
00
10
10
00
00
00
11
01
00
00
10
00
11
11
00
10
11
00
10
11
00
00
01
00
10
01
10
11
11
00
00
10
11
10
00
01
10
10
11
00
10
00
11
10
00
00
10
00
00
00
01
01
10
01
00
11
10
10
00
00
10
11
00
01
10
10
00
11
10
10
11
01
11
10
00
10
01
10
00
10
10
10
10
00
10
10
00
10
00
10
01
10
00
11
11
00
00
10
01
01
00
10
00
10
10
10
11
01
01
10
10
01
00
01
10
01
00
11
00
10
00
01
10
11
00
10
00
10
10
11
10
01
10
00
00
10
00
00
01
10
11
00
01
11
11
10
00
10
10
11
00
10
10
00
10
11
10
00
10
10
10
10
01
00
01
00
10
10
11
01
10
00
00
10
10
00
00
10
10
10
10
00
01
10
01
01
01
10
10
11
00
00
10
10
01
11
10
01
00
00
10
10
00
00
10
10
10
11
10
01
10
10
11
10
01
01
00
10
11
10
10
11
11
10
00
00
10
01
00
00
00
00
11
11
00
01
10
11
00
01
10
00
10
00
10
10
10
10
11
10
01
01
10
10
01
01
00
00
10
10
10
10
01
00
00
11
00
10
10
00
10
10
10
00
01
00
10
00
00
00
00
00
10
11
11
10
01
01
00
00
11
10
11
10
10
11
01
10
00
01
00
10
11
01
10
11
00
11
11
00
00
10
10
00
10
10
01
01
10
00
00
00
00
10
01
10
00
11
10
11
11
00
00
00
11
11
10
10
00
11
10
00
10
11
01
10
10
00
00
00
00
11
11
10
00
00
00
10
00
00
10
10
10
10
11
10
11
01
00
11
01
00
10
10
00
11
10
00
11
00
01
00
00
10
01
01
10
01
00
00
00
00
10
00
10
00
00
00
10
00
00
00
11
10
00
10
01
11
00
00
00
11
11
01
10
00
00
00
10
01
00
10
00
00
00
01
10
10
10
01
10
00
00
10
00
10
00
00
00
00
11
01
01
10
11
11
10
10
00
00
10
10
11
01
11
00
11
11
00
10
11
00
00
01
01
10
00
00
10
10
01
00
10
11
01
00
11
00
01
11
10
11
00
00
10
10
11
00
11
10
00
10
00
00
00
10
10
10
00
00
10
00
11
00
10
00
11
11
11
00
00
00
01
00
00
10
11
11
11
10
00
10
11
00
00
00
11
10
01
00
00
00
00
01
00
00
11
10
01
10
01
01
10
11
10
10
00
00
10
01
00
10
00
11
10
10
00
00
00
10
10
00
00
10
11
10
00
00
10
10
10
00
00
10
00
00
00
11
10
01
11
10
10
01
00
10
00
10
11
00
00
10
11
01
01
10
10
10
00
00
01
10
10
10
00
11
10
10
11
11
10
10
00
00
01
10
00
11
11
11
00
10
01
00
10
10
10
01
00
10
01
11
11
01
00
00
01
11
11
10
10
00
00
10
00
11
11
11
00
10
11
00
11
10
11
00
01
01
10
00
10
11
00
10
00
00
11
00
10
10
00
00
11
11
11
00
00
01
11
00
00
01
11
00
11
01
10
11
00
10
01
00
10
11
10
00
10
01
01
01
00
10
11
11
11
00
00
10
01
11
11
01
00
11
10
01
11
11
01
00
11
00
01
11
10
00
01
11
10
00
10
10
11
00
01
10
10
00
00
10
00
10
11
01
00
10
10
10
01
00
11
00
00
10
10
10
00
10
10
10
00
10
00
10
10
10
10
01
10
00
10
11
00
00
10
00
00
00
01
10
10
10
10
00
10
00
11
10
00
10
01
01
11
10
00
01
10
00
00
10
10
00
00
00
10
01
00
10
01
10
01
00
11
10
00
00
00
01
10
01
10
11
01
00
00
01
10
10
10
01
01
00
10
10
00
00
00
00
10
00
00
00
10
00
00
00
01
10
00
10
00
10
00
01
10
00
00
00
00
10
01
10
11
01
10
10
10
01
01
11
10
10
11
01
00
10
10
00
00
00
11
11
01
10
01
00
01
10
00
00
10
11
00
11
11
10
00
10
10
00
10
10
01
11
10
11
10
01
00
10
10
00
00
10
00
01
00
00
10
00
00
11
00
10
10
11
11
01
00
00
11
10
10
10
00
10
10
01
10
00
00
00
10
11
10
00
01
10
00
00
00
00
11
10
00
10
00
11
00
10
10
00
00
10
10
10
10
10
00
00
10
10
11
11
01
11
11
00
01
10
00
10
01
00
11
00
00
11
10
00
00
01
10
11
00
01
00
10
10
00
01
00
01
10
00
00
10
01
00
00
00
01
10
00
10
10
11
10
11
11
10
00
00
10
00
10
10
00
00
01
00
01
10
01
11
10
00
10
00
00
01
11
00
01
10
10
00
10
01
01
10
10
11
00
00
01
01
11
00
00
10
10
01
10
10
00
11
10
00
00
10
10
00
00
00
11
00
10
10
11
10
10
11
00
00
00
00
00
10
11
00
01
01
00
00
10
00
10
10
00
10
11
11
00
00
10
00
00
00
11
01
01
11
01
10
10
00
10
10
00
00
10
10
00
10
11
11
11
00
10
00
01
10
11
10
00
11
00
11
01
01
10
10
01
00
10
10
10
01
10
00
01
10
10
00
00
01
01
11
10
01
11
00
00
00
10
11
10
10
00
11
10
10
00
00
10
10
01
00
11
10
00
01
11
11
00
00
10
10
00
00
00
10
11
00
01
00
01
00
00
10
10
11
10
10
00
11
10
10
00
00
10
00
00
00
01
00
10
11
11
10
01
10
10
10
10
11
00
00
00
00
10
11
00
00
00
01
10
00
10
11
01
00
00
11
01
10
10
10
00
11
00
10
11
11
10
10
00
00
00
01
00
10
10
11
10
10
00
11
11
00
00
10
10
11
10
00
10
10
00
01
10
11
11
10
01
00
01
10
01
00
00
10
11
01
01
00
11
10
10
00
00
11
11
11
01
11
10
00
10
00
11
00
01
10
10
00
10
01
10
00
01
01
11
01
00
10
11
11
00
10
10
01
00
10
10
10
00
01
01
11
10
00
11
10
00
10
00
00
10
10
10
00
10
00
00
01
11
00
00
01
00
00
01
10
10
00
10
00
01
00
00
01
00
11
01
01
11
10
00
00
00
11
11
01
01
10
00
01
01
10
10
00
00
00
10
10
00
10
00
10
10
01
10
10
00
11
11
01
01
01
10
10
11
00
00
11
11
11
01
01
10
01
11
11
10
10
00
11
11
11
01
01
11
10
01
00
01
11
10
01
01
11
10
11
00
00
01
11
10
01
01
01
10
00
10
10
00
01
10
11
10
00
00
00
11
01
01
10
10
00
10
00
10
00
00
00
10
00
00
00
00
10
00
01
01
11
00
11
01
10
11
01
10
00
10
10
00
01
01
10
10
10
00
11
10
01
00
00
00
00
10
00
11
10
10
10
00
00
01
10
01
11
11
00
10
00
10
10
10
01
00
10
10
01
10
00
00
10
11
11
10
00
10
10
00
10
10
11
10
10
10
00
01
01
10
01
01
10
11
11
11
00
00
00
01
10
11
10
00
11
00
00
01
00
10
11
00
01
10
00
01
10
10
00
10
11
10
01
00
11
10
11
10
01
10
00
01
10
01
11
10
10
00
10
10
11
00
00
10
10
00
11
10
01
11
11
00
10
10
00
10
11
00
01
00
11
10
01
11
01
11
11
00
01
11
01
00
11
11
01
01
10
01
10
10
00
10
10
01
10
10
10
01
00
10
10
01
00
01
10
10
10
11
00
11
00
01
00
11
10
11
10
11
11
01
00
10
01
00
11
00
01
10
00
00
10
00
00
10
01
00
10
11
01
01
00
10
10
11
01
00
10
10
10
10
10
10
00
10
01
00
11
00
00
10
10
00
00
10
10
00
01
10
00
11
10
00
10
00
01
11
10
00
11
11
00
00
10
00
01
00
01
11
10
10
10
01
11
01
01
00
00
01
00
10
01
00
11
00
10
01
10
00
01
10
10
00
00
10
00
01
10
10
00
11
00
00
01
10
11
11
11
00
00
11
00
11
10
00
10
00
00
10
10
01
11
11
11
00
00
01
11
11
10
01
00
00
10
10
00
00
10
11
01
10
00
11
10
11
10
00
10
10
00
10
00
01
10
11
10
10
00
10
00
00
10
10
00
00
10
00
10
00
01
10
10
01
10
10
01
00
11
10
00
00
01
10
10
00
10
00
00
11
01
00
10
00
01
01
00
11
10
00
11
00
01
10
10
01
00
10
11
11
01
10
10
11
10
00
10
00
00
10
10
10
00
11
00
01
10
10
00
10
10
10
01
00
10
10
00
10
11
01
10
10
11
10
00
11
00
01
11
01
00
10
00
00
00
10
10
00
01
00
11
10
10
00
10
00
00
10
00
10
00
00
00
00
10
10
10
00
10
11
01
11
10
01
00
11
01
10
10
00
00
11
10
00
00
10
00
00
11
10
11
10
11
00
00
00
01
00
11
10
00
00
10
10
11
11
00
00
11
10
00
00
00
11
11
10
01
10
00
01
00
10
10
01
00
11
00
00
01
01
00
11
10
10
10
01
00
01
11
10
11
10
01
01
11
11
00
00
10
11
00
11
00
00
10
10
10
00
00
10
10
10
10
10
00
00
10
10
10
01
01
01
10
10
01
10
11
01
00
00
00
10
01
10
10
11
01
00
01
00
11
00
11
01
00
00
10
01
10
00
00
10
00
00
10
10
11
01
00
10
00
00
00
01
10
00
10
00
01
10
10
01
01
10
00
01
10
00
01
10
10
00
00
10
01
00
11
10
01
00
00
10
00
00
10
11
10
00
11
10
10
11
00
00
01
11
00
10
00
01
00
11
10
00
10
10
10
01
01
11
00
00
00
11
01
01
00
11
10
01
10
00
10
00
01
10
11
10
00
11
11
00
11
00
00
00
11
01
10
01
01
11
00
10
00
01
10
10
00
00
10
10
11
00
00
11
11
10
01
10
00
10
10
10
11
01
00
01
10
00
00
00
10
10
00
00
10
01
00
10
10
11
00
10
00
11
11
11
10
10
11
10
00
11
10
00
11
11
11
11
00
01
01
10
10
00
01
10
10
00
10
00
00
10
10
10
00
10
01
11
10
00
10
10
10
11
10
01
10
10
00
10
11
00
10
00
01
10
10
01
00
01
10
01
10
00
00
10
01
01
11
11
11
10
10
00
00
00
01
10
10
00
10
10
11
11
10
00
01
10
11
00
00
10
01
10
10
01
00
11
01
01
10
10
00
00
10
10
10
00
10
10
00
10
00
10
01
11
01
00
10
00
00
01
01
10
00
11
00
00
10
10
00
11
00
10
00
00
11
01
00
10
11
10
11
00
00
11
00
00
01
10
11
00
10
01
00
10
00
00
10
00
01
10
00
00
01
10
01
00
10
11
00
11
11
11
00
10
00
00
00
10
00
10
10
00
01
00
11
10
11
00
10
00
10
00
00
10
11
10
00
01
11
00
01
10
10
00
00
00
11
00
10
11
11
01
00
11
00
00
11
10
10
00
10
11
11
00
00
00
01
10
00
01
00
10
00
10
10
10
01
00
00
10
00
11
10
01
11
00
11
11
01
01
11
10
10
00
01
00
00
10
10
01
00
00
10
10
11
00
01
10
10
11
00
11
11
11
00
10
00
10
01
00
11
10
00
11
11
00
01
10
11
10
00
00
00
10
11
01
00
00
11
10
00
11
10
10
11
00
01
00
01
10
01
00
11
10
00
01
10
11
10
01
00
10
10
11
00
00
10
10
00
00
11
00
10
10
10
01
10
01
00
10
00
00
10
01
10
10
00
11
10
00
11
01
00
01
00
10
00
01
11
01
10
11
10
01
10
10
10
01
00
01
10
11
00
00
00
00
00
10
10
00
10
10
11
10
01
11
11
10
01
10
11
00
00
10
10
00
01
10
00
10
10
10
01
10
11
00
01
00
10
11
01
00
10
00
01
00
00
11
01
00
10
00
10
01
00
00
10
01
10
10
00
10
01
10
10
00
10
10
10
00
10
10
00
10
11
00
01
11
10
10
10
11
01
01
11
10
11
00
01
01
10
10
00
11
00
11
10
10
10
10
10
00
01
10
00
00
00
00
01
10
10
00
00
00
11
01
01
00
00
10
11
10
01
10
11
11
10
00
10
00
00
00
10
10
10
10
00
10
00
11
00
00
00
10
11
00
10
10
11
10
01
11
00
10
00
10
00
10
11
01
01
10
10
00
00
11
00
11
10
10
11
01
00
11
00
10
00
10
11
00
11
10
11
10
10
00
01
10
10
01
00
10
00
01
10
00
01
01
10
00
00
00
10
10
10
11
00
01
11
10
10
10
11
00
10
10
00
01
10
10
00
11
11
10
10
00
10
10
10
10
00
01
11
01
00
01
00
11
10
00
01
00
00
10
00
00
10
10
00
01
11
01
00
11
00
00
00
00
00
00
10
11
01
00
10
10
00
10
11
11
10
10
00
00
01
10
11
00
10
10
00
10
10
01
00
00
11
01
11
10
01
01
11
10
00
00
10
10
00
11
10
00
00
10
10
11
00
01
01
10
01
00
00
10
00
00
11
00
10
10
00
10
11
11
00
00
01
01
10
00
10
10
00
00
00
10
10
10
11
11
00
01
01
00
10
01
00
11
00
10
10
10
10
01
10
11
00
00
01
01
01
00
01
00
01
00
10
11
00
00
10
10
10
01
00
11
00
01
00
11
10
01
00
10
10
00
00
10
10
00
01
10
10
01
00
10
00
00
10
10
01
00
10
00
01
10
00
10
10
10
00
01
10
00
00
10
00
01
00
10
10
11
00
10
00
10
10
01
10
01
00
10
11
01
10
00
00
10
00
00
00
10
10
01
10
11
11
00
00
11
11
10
01
01
10
10
01
00
10
11
10
01
11
11
01
11
11
00
00
01
01
10
11
00
10
10
00
01
00
10
11
00
01
00
01
10
00
00
00
00
10
00
00
00
11
11
11
10
10
00
00
10
10
01
00
00
01
00
01
10
10
10
01
00
00
00
10
10
01
00
00
00
11
10
01
10
01
00
11
01
01
11
10
01
01
10
01
00
10
11
01
00
00
00
10
11
01
00
00
10
00
11
00
10
10
00
10
00
00
10
10
10
10
10
10
10
00
11
00
10
10
10
00
10
10
00
10
10
00
00
10
11
11
00
00
00
00
00
10
10
10
01
00
00
01
00
11
00
11
10
10
10
01
10
10
00
01
10
11
00
10
01
00
00
01
01
00
00
10
11
10
11
00
10
10
01
01
11
10
00
11
10
10
10
10
10
00
00
00
10
01
11
10
00
11
01
00
01
10
10
11
00
00
01
10
10
00
01
00
11
00
00
10
10
10
00
00
10
10
11
00
00
10
00
10
11
00
10
01
00
11
01
00
00
00
00
01
10
10
00
10
00
10
11
00
00
01
10
00
11
11
00
10
01
10
00
10
10
10
11
10
00
01
00
00
00
00
11
00
01
11
10
10
01
00
00
11
10
00
00
01
10
01
01
01
11
11
10
00
00
10
11
01
00
00
11
10
01
00
10
10
00
10
10
00
00
00
00
10
10
01
01
00
00
11
10
01
11
10
00
00
11
01
01
01
00
10
11
10
01
01
11
10
10
00
10
10
11
01
10
10
11
10
01
01
11
01
01
01
11
00
10
11
01
01
11
10
00
10
00
10
10
01
10
01
00
00
00
10
00
00
01
10
00
00
10
10
10
10
00
00
01
00
11
11
10
01
00
11
10
11
00
00
00
10
00
00
01
10
11
00
01
00
10
11
10
10
11
00
01
01
11
10
00
01
10
10
00
00
10
11
00
10
10
00
00
01
11
00
00
00
01
10
10
00
01
10
01
11
11
10
10
00
00
10
11
11
00
00
00
00
01
00
11
10
01
00
10
11
11
11
10
10
01
00
01
00
10
10
00
00
11
10
00
10
10
11
01
00
11
00
01
11
00
00
11
10
01
10
10
01
00
11
11
10
10
00
00
10
10
00
01
11
10
00
10
00
00
00
00
10
00
01
00
10
11
00
01
00
00
01
00
10
00
10
00
00
10
10
11
00
10
00
11
10
11
10
00
10
11
10
00
00
11
10
10
11
11
11
00
01
10
01
01
10
01
01
10
10
00
11
10
10
11
11
01
00
10
01
01
10
01
10
11
11
00
10
00
10
10
01
00
01
00
10
01
10
00
00
10
00
10
10
00
00
00
11
10
11
11
10
10
10
10
00
00
00
00
10
00
11
00
11
10
01
11
00
00
11
00
00
10
01
11
01
00
00
10
01
10
01
01
11
11
10
00
11
00
00
10
11
10
00
00
01
10
11
00
00
00
00
01
10
01
00
10
11
11
00
00
10
10
00
00
00
10
01
11
10
00
00
11
01
10
00
00
11
00
00
10
10
00
10
00
01
00
01
10
11
01
01
00
10
10
00
00
00
01
00
10
10
00
10
10
10
11
00
11
01
10
10
11
00
00
11
00
10
01
00
00
10
10
01
00
10
00
11
10
01
10
10
10
00
00
01
00
11
10
11
11
11
11
01
10
00
11
10
00
00
10
10
10
11
10
00
10
10
00
10
00
01
00
10
00
10
11
00
11
00
00
10
10
10
10
01
00
00
00
01
10
10
10
00
00
00
01
11
00
00
11
10
00
10
10
00
11
10
00
00
11
00
01
10
10
00
11
01
00
10
11
10
00
10
00
00
00
10
11
00
00
11
10
11
10
00
10
01
01
11
11
00
00
01
11
11
10
01
10
11
10
00
01
10
00
00
00
00
01
11
11
01
00
00
11
00
01
00
11
10
00
10
00
10
11
00
00
00
01
11
11
01
01
10
01
01
00
00
11
11
00
11
10
11
01
11
11
00
01
11
00
10
11
00
00
10
11
00
00
01
10
00
10
00
00
11
00
00
00
11
10
00
00
10
11
00
00
00
00
00
00
10
10
01
00
11
10
00
11
10
00
10
00
00
00
11
00
10
01
10
01
00
10
10
10
10
10
11
00
00
01
10
01
00
10
10
00
00
10
10
00
11
10
00
01
11
11
10
10
11
01
00
10
10
00
10
10
00
01
11
11
01
11
11
11
00
01
10
10
00
01
01
10
00
01
11
10
10
10
01
01
01
10
10
11
01
10
00
10
10
01
01
01
01
10
00
10
01
10
11
00
01
10
00
00
00
11
10
00
00
11
10
10
01
00
01
01
01
11
00
00
11
01
01
11
00
00
10
00
00
00
10
11
00
01
00
10
00
00
01
11
11
00
01
10
00
00
11
00
00
10
00
00
11
00
11
10
00
10
00
10
01
00
10
10
11
01
10
11
00
11
10
10
10
10
00
10
11
00
01
01
10
00
01
00
10
01
00
10
00
10
10
01
00
00
10
11
01
10
11
10
00
00
10
10
10
00
01
10
10
00
10
01
00
00
10
00
00
10
01
00
00
11
10
00
01
11
00
10
10
00
10
00
00
10
10
11
10
01
00
11
10
11
00
01
01
10
11
00
10
11
01
10
10
11
00
11
01
01
00
00
00
10
10
00
11
10
00
00
00
00
01
10
01
00
00
01
00
11
11
00
00
11
10
11
01
01
11
01
00
10
00
00
00
01
00
10
10
01
01
01
11
00
00
10
10
11
10
00
01
10
11
10
10
00
00
00
10
11
00
00
10
01
10
10
00
00
01
11
00
10
01
11
11
11
11
01
11
01
00
11
11
00
00
00
10
10
00
00
10
11
00
11
01
00
10
01
10
01
00
11
10
10
00
01
10
10
01
00
10
10
11
10
00
01
10
00
10
10
10
01
10
11
00
00
01
10
01
01
11
11
00
00
10
10
01
00
00
10
10
10
00
00
10
00
01
10
00
01
10
11
11
10
01
10
10
00
00
01
10
10
00
00
01
10
10
00
11
10
00
10
10
00
01
11
00
00
00
00
11
11
01
10
11
00
00
10
10
10
00
00
00
10
01
00
00
00
10
01
10
10
00
01
01
00
00
00
00
00
10
10
00
10
00
00
10
00
11
10
00
11
00
00
10
11
10
00
10
10
00
00
10
10
00
10
00
10
00
00
10
10
10
00
00
10
10
00
10
10
10
00
00
10
01
11
00
00
10
11
00
11
10
00
10
10
00
11
00
00
10
10
00
00
10
01
11
11
00
11
00
11
10
10
01
01
00
10
01
00
11
10
11
00
01
10
00
01
11
10
01
00
11
00
01
11
10
10
10
00
00
00
10
00
01
11
10
11
10
00
10
10
11
00
00
10
01
10
10
10
00
10
00
01
10
00
01
10
00
00
10
10
00
10
11
00
01
01
01
01
10
10
10
11
10
10
00
00
11
01
10
11
01
10
11
00
01
01
11
10
10
01
00
10
10
10
01
10
10
11
00
01
11
00
01
10
00
11
00
00
11
01
00
10
00
11
00
01
10
01
01
10
00
00
00
11
00
00
00
00
10
10
00
00
00
10
00
01
00
00
11
11
00
00
10
10
11
11
00
11
11
11
11
00
00
10
11
10
10
00
01
00
11
01
11
00
00
10
10
00
00
11
10
11
00
01
00
00
00
10
01
00
10
00
01
01
00
00
01
10
11
11
01
01
11
00
00
00
10
10
01
10
10
11
10
10
01
01
10
10
10
00
01
10
00
00
11
11
10
01
10
11
00
00
00
10
10
00
00
11
11
01
10
00
10
00
11
01
00
11
10
10
11
00
10
00
10
11
00
00
11
01
00
01
10
10
00
00
10
10
11
01
00
10
10
11
10
01
01
11
10
00
11
11
10
00
01
01
10
10
00
11
10
00
11
01
10
10
00
10
01
00
11
01
00
10
10
11
11
11
01
11
01
10
01
00
11
10
01
00
10
00
01
10
11
11
11
01
01
10
10
11
00
00
10
00
01
01
00
10
01
10
01
10
00
00
00
00
11
00
00
10
01
11
10
11
11
10
11
00
00
10
10
00
01
00
01
10
00
10
10
10
00
10
11
00
00
10
10
01
10
10
00
00
01
00
00
10
10
10
10
11
10
10
00
00
10
01
10
10
00
00
00
11
00
10
10
01
10
11
11
10
00
01
11
00
11
10
00
10
10
00
11
00
10
01
00
11
00
11
01
01
11
01
00
10
00
00
10
10
01
01
00
11
01
01
01
00
10
11
00
10
10
00
00
00
11
01
00
11
10
00
10
00
01
00
11
10
00
00
00
00
11
00
10
00
11
00
00
00
10
11
00
10
01
11
10
01
01
10
10
00
01
00
11
10
11
10
00
00
00
11
00
11
10
00
00
10
10
00
10
10
01
00
10
00
11
00
00
11
01
11
10
10
00
00
01
00
10
10
00
00
00
10
10
10
00
00
00
00
00
00
10
11
11
11
10
00
00
10
11
10
01
00
00
11
01
00
00
10
11
10
01
01
10
10
00
00
10
10
00
00
01
10
10
00
10
10
10
10
00
11
00
00
10
11
10
10
00
11
11
11
00
00
00
01
01
11
11
11
10
01
00
10
00
00
00
10
10
01
11
10
10
10
01
00
01
10
11
01
10
01
00
00
11
01
11
10
01
01
10
11
10
00
01
00
10
10
00
00
01
01
10
00
10
00
00
10
00
10
10
11
01
01
10
01
11
10
11
11
00
01
10
10
00
00
11
10
10
00
10
00
11
10
00
10
01
00
00
00
00
11
10
00
10
10
10
11
00
01
11
00
10
00
11
01
11
10
00
00
11
11
10
01
00
00
01
11
00
01
10
10
10
00
10
10
00
01
10
10
11
11
10
00
10
11
10
10
00
00
10
10
00
11
10
00
01
00
01
11
11
00
01
00
10
10
00
10
01
01
10
11
00
00
00
11
01
00
10
00
10
00
00
00
10
10
00
01
10
10
01
00
00
10
10
10
00
01
00
00
00
00
00
00
10
10
00
01
00
10
10
11
11
00
10
11
11
00
01
10
10
00
00
01
10
00
00
00
00
01
00
10
10
00
00
11
00
01
00
00
00
10
00
01
11
10
00
11
10
10
01
11
11
10
01
00
00
10
00
00
11
01
00
11
00
00
00
10
10
00
10
10
10
00
00
01
10
11
10
00
00
11
10
11
01
00
11
10
00
01
10
10
00
11
10
10
00
11
00
11
10
00
01
10
01
10
11
01
10
00
01
00
00
10
10
11
00
00
01
00
11
11
10
00
01
10
01
10
11
01
11
00
00
11
11
11
01
00
11
00
10
10
00
11
10
11
01
00
00
10
10
01
00
10
00
00
11
10
00
10
10
01
01
10
00
00
01
10
01
01
10
10
10
10
00
00
10
00
01
11
00
10
10
10
00
01
01
01
01
00
00
11
01
11
11
00
01
11
11
10
10
00
01
10
10
10
01
00
00
01
00
00
00
10
01
11
00
00
01
10
11
01
01
10
10
00
10
11
10
00
00
11
10
10
01
01
10
01
00
10
10
00
01
00
00
10
00
10
11
00
10
10
00
10
11
00
10
00
11
01
00
11
01
00
11
00
10
11
00
01
01
00
11
11
10
11
11
01
00
10
11
00
01
10
10
11
10
00
01
00
10
00
10
01
00
10
01
10
10
10
10
01
10
10
10
00
00
10
01
01
00
10
00
10
11
00
00
10
10
00
10
11
00
00
10
01
10
11
10
00
00
11
10
11
01
01
10
10
11
10
10
01
10
00
11
10
00
10
10
01
11
10
00
10
01
00
00
11
10
00
00
00
00
00
10
00
11
10
01
11
10
01
00
11
10
00
01
00
11
10
00
00
01
10
00
10
01
10
00
10
01
10
00
00
11
10
00
00
11
00
10
10
01
00
00
10
11
00
00
10
01
11
10
01
00
01
00
10
11
10
01
00
10
11
01
10
00
11
10
00
01
10
11
00
00
00
10
10
01
00
00
11
10
00
11
10
10
10
00
10
00
11
11
00
00
00
01
00
00
01
10
00
00
11
10
11
00
11
11
10
00
11
10
00
10
00
00
01
00
11
10
10
00
00
10
10
01
01
11
01
00
10
01
10
01
00
00
10
11
00
11
10
00
01
00
10
00
11
10
00
10
10
11
00
10
00
01
10
00
00
11
11
00
10
01
11
11
00
01
10
10
00
01
10
11
11
00
01
10
00
10
10
00
10
10
00
10
10
11
11
01
11
00
00
11
00
10
10
00
01
10
11
00
10
10
10
11
10
00
00
11
11
01
10
01
00
01
00
11
00
00
11
10
00
11
11
01
01
00
10
11
10
01
10
10
01
00
11
00
01
10
10
11
00
10
00
00
10
00
00
11
10
01
10
00
10
10
00
00
00
10
00
00
10
00
10
01
00
00
10
10
00
10
01
01
10
10
00
01
11
11
10
10
10
10
00
01
00
11
01
10
11
00
11
10
01
00
10
00
11
00
10
00
00
10
10
00
10
10
00
00
00
10
00
01
00
11
01
00
00
10
10
00
01
10
10
11
10
10
10
10
11
01
10
11
10
10
01
11
10
00
00
11
10
10
11
00
00
01
00
00
00
00
10
10
11
11
00
10
10
10
00
00
01
00
00
11
10
10
11
10
01
00
10
01
10
10
01
00
10
10
00
01
01
10
10
00
00
00
00
01
10
00
11
11
00
10
00
10
01
11
00
00
11
11
01
10
00
00
11
11
10
11
10
01
00
11
00
00
01
10
11
00
10
00
00
00
10
01
01
10
10
00
00
10
11
10
10
10
00
00
00
00
11
10
10
10
00
10
10
00
10
00
10
01
00
10
00
10
01
01
10
00
01
11
11
01
10
10
10
00
01
01
10
00
01
10
10
11
10
10
10
00
11
00
11
01
01
00
10
10
10
01
01
01
10
10
01
10
10
10
00
00
11
10
01
00
11
10
10
00
01
00
01
00
10
11
00
00
10
11
00
01
11
00
11
00
10
01
10
11
00
11
11
00
10
10
00
00
00
10
10
00
00
00
01
11
01
10
01
00
00
00
11
11
10
00
00
10
00
00
00
10
00
11
01
00
11
01
11
00
10
00
00
10
10
10
11
00
00
01
10
00
00
01
11
00
01
10
10
10
10
00
00
10
10
10
10
10
00
00
11
00
00
00
00
11
00
01
00
10
10
00
10
10
01
00
11
10
10
10
00
10
11
11
00
11
00
00
01
11
00
10
01
10
10
10
10
00
00
11
11
00
00
00
10
11
10
00
00
00
00
11
10
00
01
11
10
10
11
00
10
01
11
00
01
10
00
10
10
10
00
01
10
11
10
01
00
01
01
00
10
10
00
00
10
10
10
01
00
00
00
00
00
10
00
00
00
10
11
00
01
10
01
11
11
10
11
00
01
11
11
11
10
01
00
10
00
00
10
10
00
00
10
00
10
01
01
00
11
00
01
01
10
10
00
01
01
00
10
10
01
10
11
01
11
00
11
00
00
11
11
01
10
00
00
10
10
10
00
00
11
00
01
10
11
11
11
10
10
10
00
00
00
00
11
10
00
00
11
01
10
00
10
00
10
00
00
10
10
00
11
01
00
00
00
01
00
01
00
10
00
01
01
00
10
11
10
00
10
10
11
10
01
01
11
11
00
00
10
11
01
10
01
00
11
10
11
11
10
10
00
11
00
11
10
00
10
10
11
11
11
00
00
01
00
10
10
00
00
10
10
00
00
11
01
11
11
01
00
10
11
10
00
11
10
00
00
10
10
11
10
01
10
11
01
10
00
01
10
11
00
01
00
11
10
01
01
11
11
11
00
01
00
01
10
00
00
10
01
00
00
11
00
00
10
00
00
11
10
00
11
10
10
00
11
00
00
10
00
00
10
10
01
11
11
00
10
01
10
00
10
10
11
00
00
11
10
01
00
01
00
10
00
11
01
00
00
10
00
01
10
10
10
00
01
00
10
00
00
01
00
10
01
00
10
10
00
00
10
11
00
10
10
00
01
10
10
10
11
01
01
00
00
00
00
11
11
01
00
10
10
00
10
11
10
01
00
00
10
11
11
10
01
11
10
10
11
01
00
10
10
01
00
00
10
11
01
00
11
10
10
00
00
01
11
11
01
10
11
11
01
00
10
10
00
10
10
00
10
00
10
10
01
11
11
00
10
10
01
10
00
00
11
11
10
01
10
10
10
00
00
01
00
10
00
11
11
11
00
00
00
10
00
11
10
00
11
01
00
01
10
01
00
10
10
01
00
10
00
11
00
00
00
10
10
00
01
00
01
01
01
11
00
01
01
10
10
10
01
10
01
00
01
00
11
10
00
10
11
11
00
00
11
00
01
00
00
00
00
11
11
00
00
10
00
00
10
10
11
00
11
11
11
00
00
00
10
10
10
11
00
01
10
00
00
10
01
01
00
00
10
00
00
10
10
00
10
10
00
00
10
00
11
00
00
11
00
00
10
10
00
10
11
01
00
10
11
10
01
00
10
10
11
10
00
10
10
01
01
00
00
00
10
01
10
11
00
00
00
10
10
10
10
01
10
01
11
00
01
10
00
10
11
00
11
00
00
10
10
00
11
01
01
01
01
10
10
00
11
00
01
10
10
10
01
01
00
10
10
00
10
10
01
00
01
10
11
10
10
10
10
00
01
00
00
10
10
10
10
00
01
11
10
00
10
10
01
01
01
01
10
00
10
00
00
11
00
00
10
10
11
01
10
11
00
10
10
11
01
00
00
11
10
00
10
00
10
01
00
11
00
00
00
01
01
01
11
10
00
00
10
10
11
00
00
11
10
01
00
01
11
01
00
00
11
11
00
11
10
11
01
01
00
10
10
10
00
01
10
10
10
10
01
11
10
00
10
00
11
00
01
10
10
00
00
00
01
11
10
10
00
00
10
10
01
00
00
10
10
01
00
11
11
01
11
00
11
10
11
00
00
10
11
10
01
11
10
00
10
10
10
01
10
10
10
00
00
01
00
01
11
11
11
11
00
01
10
10
00
01
00
10
10
00
10
01
10
11
10
11
00
00
10
10
00
10
00
00
10
00
10
10
01
01
00
11
00
00
01
11
10
00
01
10
01
11
00
11
10
00
11
00
00
11
10
10
00
01
10
01
00
10
11
01
00
10
10
11
10
00
01
10
10
10
10
00
10
10
01
10
10
11
10
01
01
10
00
00
00
10
00
01
10
11
01
10
10
01
10
01
11
10
00
00
01
11
10
01
10
11
00
10
10
00
00
10
11
00
01
00
10
10
10
00
00
10
00
00
01
11
10
00
00
00
10
10
00
10
10
00
11
00
10
00
10
10
00
10
00
00
10
00
01
11
01
01
10
10
00
00
10
00
10
10
00
01
01
01
10
11
10
10
10
00
11
11
10
00
01
00
10
10
01
10
11
10
00
00
10
00
00
01
11
00
00
00
10
10
00
10
01
11
10
10
10
10
01
10
10
11
10
11
01
00
00
01
10
11
00
01
00
00
11
10
01
01
10
10
01
00
11
11
01
00
00
00
00
00
10
10
01
01
01
00
10
11
00
11
00
10
10
10
00
11
10
00
01
10
11
10
01
10
00
00
00
10
10
00
00
11
00
10
00
10
00
10
11
00
00
01
10
01
10
11
00
11
10
11
10
00
00
10
00
10
10
00
11
10
10
10
00
00
11
00
01
01
11
11
00
00
01
00
10
00
01
11
00
00
10
00
11
11
00
10
10
10
01
10
00
10
10
00
10
10
11
00
11
10
11
00
10
10
01
01
10
10
01
10
10
00
11
00
00
11
10
11
00
11
10
01
00
10
11
00
10
01
11
10
11
00
01
10
00
01
10
01
01
10
00
01
00
11
11
01
11
00
00
00
10
00
11
10
01
10
00
10
01
01
10
00
00
01
00
01
10
01
01
00
10
10
10
00
10
11
10
10
00
10
00
11
10
01
01
10
11
00
11
00
00
10
00
00
11
11
01
00
00
11
10
10
10
01
00
01
10
10
00
01
11
01
01
10
00
00
10
00
00
10
10
11
10
00
11
10
00
10
00
01
01
10
00
10
10
01
10
11
00
00
00
10
11
00
11
10
10
01
00
01
01
00
00
10
00
01
10
11
10
01
00
01
00
00
00
11
00
01
10
10
00
00
11
00
11
10
00
00
10
10
00
01
00
10
11
00
01
00
00
10
00
01
11
00
10
00
00
00
00
10
00
00
11
11
01
00
10
00
10
11
01
11
11
10
10
10
10
01
10
11
00
01
11
11
01
00
11
00
10
10
00
00
00
11
00
00
11
10
11
11
00
00
10
10
10
01
00
11
00
00
00
10
00
01
00
01
00
10
10
11
10
11
10
00
11
00
00
00
00
10
10
10
00
01
11
01
11
11
01
00
10
00
00
10
11
00
00
00
10
10
00
10
01
10
11
10
00
10
10
10
00
10
11
11
10
00
10
00
01
11
01
00
11
10
00
00
00
01
01
11
11
00
00
10
00
10
11
00
00
01
01
10
01
00
11
00
00
10
00
11
10
11
00
10
10
00
11
11
01
11
10
01
00
10
10
11
00
11
10
00
01
10
00
00
11
11
00
11
10
11
01
10
10
01
01
11
10
11
00
00
00
00
00
10
00
10
01
01
11
00
10
10
00
00
01
01
11
10
00
11
10
01
10
01
00
10
10
01
10
00
01
11
01
00
11
10
10
11
00
01
01
01
10
00
00
00
10
10
10
11
01
10
00
00
01
00
00
10
11
10
00
11
00
01
10
00
10
00
01
11
01
01
11
10
00
00
00
00
10
00
10
01
00
10
01
00
11
10
00
01
10
00
10
10
10
11
01
01
00
11
00
11
00
00
00
11
11
10
00
00
11
10
00
00
11
11
00
10
00
00
01
10
00
01
11
11
01
10
10
01
00
00
00
00
10
00
00
11
01
01
00
10
10
01
00
10
11
00
10
00
10
10
10
00
00
11
11
00
00
00
10
10
10
01
11
10
11
01
00
00
00
10
10
11
01
01
10
01
00
11
10
00
00
10
00
10
10
01
10
10
00
10
10
10
10
00
10
01
11
10
11
01
10
10
00
00
00
00
10
11
10
10
11
00
10
01
11
10
11
10
01
10
11
01
11
11
00
01
11
11
00
10
00
10
10
00
00
11
10
10
10
00
00
00
10
01
00
00
10
00
00
11
10
00
00
10
00
10
00
01
01
00
11
10
00
00
10
01
10
00
01
11
11
11
10
10
01
00
01
00
10
10
10
00
10
01
00
11
10
10
10
00
00
01
11
11
01
00
10
10
01
10
10
01
00
01
00
10
10
11
10
00
00
10
01
10
11
10
10
10
00
10
01
11
00
10
10
01
00
10
10
00
10
10
10
10
00
10
11
00
01
00
11
01
11
00
00
10
11
00
10
00
01
10
11
01
01
10
00
00
10
00
10
11
00
00
00
01
00
10
10
01
10
01
00
10
00
10
00
10
10
01
00
00
11
11
01
10
01
10
00
00
00
10
10
00
00
11
11
00
11
01
01
10
10
00
10
10
01
10
10
01
01
01
10
00
10
10
11
00
10
10
00
10
10
00
00
10
10
00
10
01
10
11
00
11
00
00
00
11
11
01
00
11
01
01
11
10
10
01
00
01
11
11
00
01
10
01
00
10
10
00
10
11
10
00
00
11
01
00
10
10
01
10
01
00
00
11
01
01
11
00
00
10
10
10
10
00
00
01
11
00
01
00
00
01
00
10
11
00
00
01
01
01
10
00
00
01
10
10
11
01
01
10
00
01
10
00
00
00
11
10
10
00
00
00
11
01
10
10
10
11
10
00
00
10
01
10
11
01
01
10
01
00
10
00
10
10
00
01
10
00
10
11
00
01
00
11
00
10
11
01
00
11
10
00
10
11
00
11
10
10
00
10
11
11
11
00
00
10
10
00
00
01
11
01
11
00
11
10
00
01
00
11
10
00
10
10
00
10
10
11
00
11
00
01
10
00
00
11
10
01
01
10
11
00
01
10
01
00
00
00
10
10
00
11
10
11
01
10
00
11
00
00
00
11
10
10
10
00
00
01
01
11
01
00
00
10
11
10
10
00
01
01
00
00
10
10
00
00
11
01
01
01
10
11
00
10
00
00
10
11
11
00
00
11
10
11
10
01
11
00
00
11
00
10
00
01
10
10
10
00
00
01
01
10
11
10
10
10
01
00
01
10
01
00
11
11
10
01
00
10
10
00
01
10
11
01
11
01
00
00
00
10
01
10
10
00
00
11
00
01
10
00
01
11
01
11
10
10
10
00
10
00
00
10
00
11
00
01
00
10
00
00
11
10
10
00
11
00
10
00
00
10
00
11
10
10
10
11
00
00
00
10
11
01
00
01
00
11
10
00
10
11
00
01
01
11
10
10
10
00
00
00
00
10
11
11
10
10
11
00
10
00
00
00
10
11
01
01
11
01
01
11
10
10
10
00
00
11
01
00
10
00
10
01
00
11
11
00
10
10
11
10
01
00
00
10
10
01
01
10
10
01
00
00
01
00
10
00
10
00
00
00
10
10
10
00
10
10
01
00
00
00
01
10
11
10
00
11
10
00
00
01
10
00
11
11
10
10
10
01
10
00
01
11
01
10
01
10
00
00
10
01
00
11
10
10
00
11
11
00
00
01
10
10
10
00
10
10
00
10
10
10
10
11
00
01
00
00
10
01
10
10
01
00
11
10
00
10
11
00
01
01
01
00
01
10
11
10
01
00
11
10
11
00
00
01
00
01
11
10
01
00
10
11
10
00
11
01
00
10
11
00
01
00
00
10
10
00
00
00
00
10
10
00
10
00
11
00
11
10
00
01
00
11
11
01
01
11
00
00
10
10
00
00
10
11
10
10
10
10
00
01
00
10
00
01
10
10
11
01
10
00
10
10
11
00
00
01
10
10
11
00
00
11
00
01
11
00
10
10
10
00
10
10
00
00
11
00
01
00
11
01
11
00
01
10
10
00
10
10
01
11
11
10
00
10
10
01
00
10
11
01
01
00
10
00
01
00
11
10
01
01
10
00
11
00
00
10
00
00
10
01
10
11
00
01
00
01
10
11
00
00
10
11
10
00
10
10
11
11
00
00
10
00
00
11
10
00
10
01
00
00
11
10
00
01
10
01
00
00
11
11
10
00
11
11
11
11
10
00
11
00
01
10
00
01
01
10
11
01
00
00
00
10
11
00
01
11
00
00
00
10
10
01
10
00
00
11
01
00
01
00
00
10
11
00
00
11
10
00
10
10
10
01
10
11
00
01
00
00
00
00
10
10
10
10
00
10
00
10
00
00
01
00
01
00
10
10
10
01
00
00
11
10
00
11
10
10
00
10
01
10
00
01
00
11
01
00
00
10
01
11
01
01
10
01
10
01
11
10
10
01
00
11
11
01
00
10
00
11
10
10
11
00
00
00
10
11
11
10
00
11
00
11
00
01
11
00
11
01
01
10
10
00
01
10
10
10
01
11
01
01
10
01
00
00
01
10
11
00
00
11
11
00
01
11
10
00
10
00
10
00
00
10
10
01
00
00
10
10
01
00
11
00
10
00
00
01
10
10
01
00
10
11
00
00
00
10
10
00
00
11
10
01
10
01
10
10
00
00
10
10
10
00
00
10
00
00
10
00
10
00
10
10
00
00
11
10
00
10
10
11
01
10
00
00
11
00
11
00
10
11
11
10
01
00
11
10
00
01
10
00
10
10
00
10
10
10
11
01
10
10
00
11
01
01
00
00
10
00
01
00
01
10
01
00
11
10
00
10
10
11
00
00
10
00
10
00
10
10
11
01
01
00
10
10
01
00
01
10
10
00
00
01
00
00
00
11
00
00
00
10
10
10
00
11
10
00
01
00
00
00
10
00
00
10
01
00
01
00
00
00
00
11
00
10
10
01
00
11
10
11
10
11
11
01
01
10
10
01
10
00
00
10
10
10
01
10
01
10
00
00
00
10
00
10
10
00
10
10
10
11
00
00
01
01
00
10
10
00
01
00
10
01
01
11
01
11
10
01
10
10
00
01
00
10
10
01
10
01
10
11
01
00
00
11
00
01
10
11
11
10
10
10
10
00
01
10
10
00
01
11
00
11
10
01
00
00
10
10
00
01
11
10
01
11
01
01
01
10
01
10
10
00
00
00
00
11
10
10
10
11
10
11
00
01
11
00
01
10
11
01
01
00
10
00
10
10
10
10
00
00
10
10
00
00
10
00
10
00
11
01
00
00
00
00
00
10
11
10
10
00
00
11
01
11
10
01
00
10
00
00
00
11
10
01
10
10
10
01
00
10
00
01
10
01
11
00
01
10
00
11
10
00
00
01
10
01
00
00
00
00
11
10
01
10
00
00
00
10
10
00
10
00
11
00
00
00
01
00
00
10
00
11
11
10
00
10
00
00
10
01
00
01
01
01
00
01
10
10
01
00
00
10
11
10
10
00
00
01
00
10
00
11
11
01
11
10
10
00
00
11
00
00
10
11
00
00
10
00
00
00
10
10
10
01
00
10
11
00
01
10
01
10
00
00
11
10
00
00
00
10
11
10
01
01
01
01
10
10
10
01
00
00
10
01
00
00
00
11
11
10
00
00
10
11
01
00
01
10
11
01
10
00
01
10
10
00
00
00
11
00
10
10
01
11
01
01
11
01
10
00
01
10
11
10
00
00
01
11
11
00
01
10
11
00
10
00
00
00
10
01
00
00
00
00
00
11
10
00
10
10
00
00
00
10
00
00
11
00
10
11
01
11
11
11
00
11
10
11
00
00
10
10
01
00
01
10
10
00
00
00
11
00
01
10
01
10
10
00
00
00
10
10
00
01
11
01
01
01
11
10
01
00
11
10
00
00
10
10
10
00
11
00
10
11
00
00
11
00
00
01
11
10
00
01
10
10
01
00
01
01
10
10
10
10
00
10
10
00
11
10
00
01
00
00
10
10
10
00
00
01
01
11
00
10
11
00
00
10
01
01
10
00
10
00
01
11
00
11
10
10
10
11
01
00
00
00
10
11
00
01
10
01
11
00
01
10
10
00
10
10
10
10
00
10
11
11
00
10
10
01
11
01
00
10
10
10
00
10
10
00
10
00
01
01
11
00
10
00
10
11
00
10
01
11
00
01
01
01
00
00
10
11
11
01
00
10
10
11
00
01
10
10
11
10
00
00
01
10
10
00
11
11
10
01
10
01
00
01
00
10
10
10
00
00
00
10
11
00
01
10
10
11
00
01
11
10
10
10
10
00
10
10
10
10
01
00
00
11
00
00
10
01
10
01
00
10
10
00
10
00
11
10
01
10
01
00
00
00
00
00
11
10
00
01
10
10
01
00
11
00
11
10
00
00
00
01
10
11
01
10
00
01
01
10
00
00
10
00
10
11
00
00
01
10
10
10
10
00
10
00
00
00
01
11
00
00
00
10
00
11
10
00
00
11
00
10
00
10
01
10
10
00
11
00
01
01
10
10
10
01
00
10
00
00
00
10
00
10
11
00
10
10
10
01
00
10
10
00
10
01
00
11
00
11
00
00
01
10
11
00
11
10
10
00
11
00
00
01
11
11
10
11
00
11
10
01
10
11
10
00
01
11
01
00
10
00
01
00
00
10
00
01
00
10
10
10
11
11
10
11
10
01
00
11
10
11
00
01
00
10
00
00
00
01
01
10
10
01
11
01
10
10
01
01
10
00
00
10
11
00
00
11
00
01
00
10
10
10
10
00
00
11
00
00
00
00
00
00
01
01
11
10
11
10
00
01
01
10
11
11
00
10
10
00
00
00
10
10
11
10
00
00
10
10
00
00
00
11
11
00
00
01
10
10
10
10
00
00
10
11
11
01
01
01
11
10
00
10
00
00
10
11
01
00
10
00
00
11
00
11
10
11
11
01
11
01
11
10
00
01
11
10
00
00
10
10
00
00
10
10
00
00
00
11
00
10
10
10
10
10
11
01
10
11
00
00
10
10
11
10
01
01
11
00
10
10
00
00
10
00
00
10
10
10
00
10
10
10
10
11
10
10
10
00
00
00
10
10
01
00
01
10
11
00
00
00
01
01
01
00
10
10
01
00
01
11
10
00
11
10
01
00
10
00
10
00
01
00
10
10
11
01
10
01
00
10
11
11
10
10
10
00
10
00
10
11
00
01
10
01
11
10
11
00
00
01
00
11
10
10
00
00
00
00
11
10
01
01
10
10
00
11
11
01
00
10
00
00
00
11
11
11
01
10
00
01
00
00
00
11
00
00
10
01
11
10
11
00
01
01
10
11
10
01
01
11
11
10
10
00
01
00
00
10
11
10
00
00
00
10
00
11
10
00
00
00
11
10
01
10
00
11
10
00
01
10
10
10
00
01
11
00
00
10
10
10
00
01
00
00
10
00
00
10
00
10
11
11
11
01
11
10
11
00
00
10
01
01
10
10
00
10
10
10
00
00
00
10
00
10
00
10
00
00
10
10
11
00
01
01
11
10
00
00
10
00
01
11
10
11
00
01
11
00
01
00
10
01
10
11
11
10
10
11
10
11
00
00
00
10
10
10
10
10
11
10
10
11
10
11
01
00
00
10
11
01
10
11
10
01
00
10
00
00
11
10
10
00
10
01
01
10
11
10
01
10
00
00
00
00
10
11
11
00
10
10
10
00
01
01
00
10
10
00
00
10
00
01
11
10
11
00
11
10
11
11
00
01
01
00
01
01
00
00
00
10
11
00
10
11
00
00
00
10
00
01
00
10
10
01
10
11
00
11
11
11
00
00
00
11
10
00
00
10
01
01
10
11
10
00
00
01
11
10
10
00
01
10
01
00
00
01
11
11
00
00
11
00
11
10
00
00
10
00
00
00
10
01
10
10
11
10
01
11
10
10
10
00
00
10
00
00
01
00
01
01
11
11
00
01
01
11
00
00
10
10
10
11
00
10
10
00
10
11
01
00
00
10
11
10
10
10
10
00
00
00
10
11
11
00
00
10
00
00
00
00
10
10
11
10
11
11
00
01
00
01
01
01
11
01
00
10
00
01
00
11
10
00
10
10
11
00
00
01
10
11
10
00
00
00
10
00
11
11
11
11
00
01
00
11
10
00
10
11
00
00
10
10
01
00
10
00
11
10
10
10
10
01
00
10
11
01
11
11
00
00
10
00
00
11
10
00
00
10
00
11
11
10
00
00
00
00
00
10
00
00
11
00
00
10
00
00
11
00
01
00
00
01
11
11
00
01
10
01
00
11
00
00
00
11
00
00
10
11
10
11
11
11
11
10
10
00
01
01
10
00
00
11
10
11
00
11
00
01
00
01
11
10
10
00
11
10
00
00
10
00
00
10
10
10
00
10
00
11
01
01
11
10
11
10
00
01
00
00
10
01
01
11
10
00
00
10
10
01
01
00
10
00
10
00
00
10
10
00
00
00
00
11
01
00
11
10
00
10
10
01
00
10
11
00
01
10
10
01
11
00
10
10
00
00
00
10
01
00
11
00
01
00
10
10
10
10
00
00
11
10
00
10
10
10
11
01
00
11
10
00
10
00
11
10
01
00
10
00
11
00
00
10
00
00
00
10
10
01
00
10
11
01
10
11
10
11
11
01
01
11
11
01
11
10
00
10
01
00
00
00
10
00
11
11
10
10
10
00
10
11
00
00
00
00
00
10
00
10
00
01
11
00
00
01
01
11
10
11
11
01
10
10
00
10
00
00
00
11
00
10
11
10
01
00
11
10
00
01
01
11
01
00
11
10
00
10
10
01
01
00
10
00
00
00
11
10
11
11
00
00
01
10
00
10
11
10
00
00
00
00
10
10
10
01
00
10
10
10
11
00
10
00
10
10
11
00
01
11
11
01
00
11
00
10
11
10
11
00
11
01
00
10
11
10
00
10
11
10
01
10
10
01
11
00
10
00
00
00
10
10
11
10
01
01
00
00
01
00
01
01
11
10
00
11
00
00
01
10
10
11
10
00
00
11
00
00
11
01
10
00
00
11
00
00
11
10
10
11
11
00
10
10
11
00
11
10
01
01
00
01
11
00
11
00
00
10
11
01
10
11
00
10
11
10
01
10
10
00
10
00
11
11
10
10
00
00
10
11
01
11
00
00
10
01
00
11
10
01
11
10
10
00
10
10
00
00
11
11
00
10
00
00
11
11
00
01
11
00
01
01
11
11
10
10
00
10
10
00
00
00
01
10
10
10
11
10
00
00
10
00
10
10
00
01
00
01
01
01
10
10
00
01
11
00
01
11
00
00
00
01
00
10
11
00
11
10
11
00
10
11
10
00
00
11
10
00
10
01
00
11
00
11
01
10
01
10
00
11
10
01
11
00
00
11
10
00
00
10
01
00
00
10
10
01
10
00
10
00
01
10
11
11
00
00
11
01
00
10
10
00
11
10
00
10
10
10
00
00
10
11
00
11
01
10
01
00
00
01
01
11
10
00
00
00
10
00
01
10
01
10
10
00
10
01
10
10
00
01
00
00
10
00
10
00
01
11
10
01
01
00
00
10
00
01
00
10
10
10
10
01
10
11
01
01
00
11
11
10
10
10
00
00
01
01
11
10
10
10
10
00
01
10
01
10
00
00
11
10
01
00
10
00
00
10
01
10
11
00
10
01
01
10
11
11
00
10
10
00
00
00
10
10
10
10
01
11
00
10
10
00
10
00
00
10
10
10
00
11
11
11
00
10
11
11
00
01
10
10
00
10
00
11
10
01
00
01
01
10
00
11
00
00
00
11
00
00
00
01
10
00
11
00
10
10
10
10
10
11
10
00
10
10
00
11
00
00
10
10
01
10
11
10
00
01
10
10
01
10
11
11
00
10
10
11
01
01
11
01
00
00
00
00
11
00
00
10
10
00
00
00
11
10
00
00
00
10
11
01
00
10
00
01
11
00
00
11
11
00
00
00
11
00
01
10
11
10
00
01
00
10
10
00
01
11
10
11
00
00
00
11
10
10
01
00
00
10
00
00
10
10
10
10
00
00
11
10
10
00
10
00
10
10
00
10
11
11
10
10
01
00
00
10
11
01
01
10
00
11
10
01
01
10
10
10
01
00
00
10
10
01
01
10
00
10
10
10
10
00
10
00
00
11
11
00
11
10
01
00
11
10
00
00
10
10
00
11
11
01
11
00
00
00
10
00
00
10
10
11
00
00
00
10
11
00
00
10
11
10
00
11
01
11
00
10
00
01
00
00
10
11
00
11
10
10
10
10
00
00
10
00
10
10
11
00
01
01
01
00
00
10
10
00
10
10
00
00
10
00
10
11
10
11
00
10
01
10
10
00
00
11
11
00
10
11
01
00
00
10
11
00
01
11
00
00
10
00
00
10
10
10
11
11
10
01
11
10
11
00
00
10
00
00
11
10
10
10
10
00
01
00
10
10
10
00
11
00
01
10
11
10
11
01
10
10
00
00
11
11
00
11
11
11
00
10
00
00
00
10
10
10
00
00
11
10
10
11
10
10
00
00
00
00
10
10
01
11
00
01
11
10
00
11
00
00
00
10
01
10
10
10
10
00
10
11
01
10
11
00
11
10
11
00
00
00
11
00
01
10
10
00
10
00
00
11
11
10
00
11
11
00
01
01
11
10
10
01
00
01
11
11
00
00
10
01
01
01
01
10
00
10
00
11
11
00
10
00
01
00
11
10
10
00
00
11
01
01
11
00
00
01
01
10
00
01
10
11
11
00
10
11
00
10
10
00
00
10
10
10
00
01
00
01
10
10
10
10
10
00
00
10
10
01
10
01
01
01
10
01
01
00
10
11
01
11
01
00
00
01
00
00
10
00
10
10
01
10
00
10
10
10
10
01
00
00
00
00
11
10
01
10
10
00
01
01
10
10
00
01
10
01
00
10
10
10
11
01
00
00
11
10
01
10
10
10
00
01
01
00
11
10
11
00
00
00
00
10
01
10
10
11
11
10
01
10
10
00
10
10
01
00
01
11
11
00
00
10
11
00
01
11
10
00
00
10
01
10
11
11
11
10
10
10
00
11
00
11
10
00
01
10
00
00
00
10
00
10
10
00
00
01
10
01
00
00
01
01
00
00
10
10
01
10
10
00
00
10
11
00
00
10
10
00
00
00
10
00
00
10
11
00
01
00
10
01
01
00
10
10
11
00
01
01
01
10
10
11
01
00
01
00
10
00
00
10
10
00
00
11
00
10
11
10
10
00
10
00
10
10
00
10
11
00
00
10
10
00
11
00
00
00
10
00
00
01
00
01
10
11
10
10
11
10
10
00
00
11
00
01
10
10
00
00
11
01
00
11
00
00
11
10
00
01
00
10
10
01
01
01
10
11
01
10
10
00
01
11
11
01
00
01
10
10
00
10
10
10
01
11
10
11
00
00
01
10
10
00
00
11
00
00
01
01
10
00
10
10
11
00
00
00
01
00
10
10
01
10
11
10
00
00
00
11
10
11
00
10
01
00
11
01
01
10
11
00
01
01
11
10
11
01
00
00
00
00
10
10
00
10
10
00
10
10
00
11
10
11
10
10
10
10
10
11
00
01
00
00
00
11
00
11
00
00
10
10
10
10
00
00
00
10
00
11
00
01
10
00
10
01
11
00
10
00
11
10
10
00
10
11
10
10
00
10
10
01
10
10
00
00
01
00
01
00
00
11
11
11
10
00
00
10
11
00
00
10
10
10
11
10
10
11
10
11
10
00
00
10
10
10
11
00
00
00
11
10
11
00
00
00
00
10
10
01
11
10
00
11
00
10
10
10
00
00
01
10
01
11
10
11
10
11
10
11
00
11
11
00
00
10
01
00
00
00
11
11
00
10
01
10
00
10
10
10
10
00
00
11
00
01
00
01
11
10
00
00
11
10
11
00
10
00
10
10
00
01
11
10
01
10
00
01
10
01
10
11
01
01
10
10
00
01
10
01
01
00
11
01
00
11
11
00
10
10
11
10
00
00
10
00
10
00
00
10
10
10
10
00
10
01
10
11
01
10
10
01
00
10
10
00
00
00
01
10
00
01
01
00
00
00
10
10
00
00
00
11
10
00
11
00
10
11
01
01
10
10
10
10
00
00
11
00
01
10
10
00
10
00
11
00
01
11
00
00
11
11
10
10
00
11
11
11
01
00
10
10
00
10
01
00
11
10
10
11
00
10
00
01
11
11
00
00
00
10
01
10
11
01
00
10
10
00
00
00
10
10
10
10
01
00
01
00
00
10
11
10
10
00
00
10
00
11
11
00
00
10
10
10
10
01
00
10
10
00
11
00
10
00
10
11
00
01
10
10
00
00
00
11
00
10
00
01
00
01
10
11
00
00
00
00
11
10
10
10
10
00
10
00
01
10
10
10
11
11
11
10
00
01
00
01
01
10
10
00
10
11
00
00
10
11
01
00
01
00
11
10
00
10
10
00
00
10
01
11
10
11
10
00
11
10
00
00
10
10
10
01
01
10
10
10
10
01
00
00
00
00
11
10
00
11
10
00
00
11
10
00
01
00
11
11
00
10
01
00
11
01
00
10
10
00
00
11
00
10
00
11
10
00
10
10
11
00
10
00
00
10
01
00
11
10
00
10
01
10
11
00
01
10
00
01
10
10
00
11
10
10
01
00
11
11
11
11
10
10
00
11
10
11
10
01
00
10
11
00
00
11
00
01
00
00
10
10
00
10
00
01
10
00
10
00
00
10
00
01
10
00
10
00
11
00
00
11
11
11
00
01
00
11
11
10
10
00
01
10
00
10
10
01
01
11
00
01
01
10
10
10
11
00
00
00
01
10
00
11
10
10
00
01
01
00
10
01
01
01
10
00
00
10
10
10
00
00
11
10
10
01
10
10
01
10
00
00
11
01
01
00
00
10
10
11
00
01
11
10
11
11
00
11
11
00
00
10
10
00
00
10
01
10
01
00
10
11
01
00
11
11
10
01
00
10
00
00
01
10
10
10
00
10
10
01
00
01
11
00
10
01
01
11
00
11
10
00
00
11
01
00
00
10
01
00
01
11
10
00
11
10
00
11
10
10
10
00
00
01
10
10
00
00
10
00
00
01
10
00
00
00
11
10
00
01
10
10
00
01
00
00
00
01
10
10
11
01
00
10
00
00
10
00
01
00
11
11
00
10
00
00
11
10
01
11
10
01
01
10
00
00
11
00
00
11
00
00
10
01
10
10
10
00
01
00
01
00
00
10
11
10
00
10
11
00
01
10
11
10
01
00
11
10
00
00
00
01
10
10
10
10
10
01
01
10
10
00
00
11
10
10
00
00
11
11
00
00
00
10
00
01
11
10
00
01
00
10
11
10
00
11
10
00
00
10
10
10
11
00
01
11
10
10
00
01
10
10
00
00
01
10
00
01
00
00
01
00
10
10
10
10
00
00
01
00
01
10
10
10
00
11
10
11
00
00
00
10
10
00
10
01
10
11
10
10
00
11
10
01
00
11
01
01
11
10
10
01
11
10
00
11
10
10
00
00
00
10
10
00
01
01
01
01
00
01
00
00
01
01
10
10
00
10
11
00
01
01
10
11
01
10
10
01
01
00
11
10
00
00
00
10
11
10
01
00
10
11
00
01
11
11
00
00
10
10
10
01
01
11
00
01
10
10
00
01
11
10
10
01
00
00
11
01
01
01
10
10
00
11
00
11
10
00
01
00
11
11
00
00
01
01
10
00
00
10
10
10
10
10
10
00
01
01
11
00
10
01
00
01
00
10
00
10
11
00
00
10
01
00
01
10
10
10
01
10
10
01
00
10
10
01
01
10
01
00
10
11
00
00
10
10
01
00
10
10
10
01
11
00
00
10
10
01
10
01
00
10
00
10
01
01
00
00
11
10
10
10
10
11
10
00
00
00
10
10
10
10
00
11
10
01
01
00
01
00
00
01
11
10
11
00
10
00
10
10
00
10
00
11
00
01
10
10
10
00
00
11
00
00
00
00
11
00
10
10
10
00
00
00
00
01
11
10
00
01
00
00
10
11
00
10
10
00
10
10
10
00
00
00
10
10
11
00
00
00
10
10
00
01
10
11
00
01
00
11
00
11
10
00
11
01
00
11
00
01
10
10
00
01
11
11
11
01
00
01
01
10
10
00
10
00
10
00
01
00
11
10
10
11
01
00
01
00
10
00
10
10
00
10
01
10
10
01
11
00
00
00
10
10
00
00
10
11
01
11
00
11
00
00
01
11
01
01
00
00
11
10
00
01
10
00
00
01
10
01
00
10
00
00
00
00
00
10
10
01
10
00
01
00
10
00
00
10
10
01
10
01
11
10
11
00
10
10
10
00
11
00
00
01
00
01
00
00
10
01
00
10
10
01
11
00
01
11
11
10
11
11
00
11
11
00
01
00
01
10
10
01
10
01
10
00
00
00
00
11
00
11
11
01
01
00
01
00
00
10
11
00
00
11
00
00
00
11
10
00
11
00
01
10
00
01
10
10
00
01
10
10
10
01
10
01
10
10
10
01
11
00
10
00
10
10
11
10
00
00
10
10
10
10
10
10
00
00
10
00
00
10
10
11
10
01
01
11
00
01
00
10
00
10
10
01
00
01
10
10
11
10
11
00
00
10
11
00
00
11
10
01
00
10
10
11
00
11
00
01
00
00
00
10
11
01
01
11
00
00
10
00
00
01
10
11
10
10
10
10
00
00
01
10
10
01
01
10
10
10
10
00
10
10
11
00
01
00
10
10
00
00
00
01
11
01
10
11
10
00
11
11
10
01
01
10
01
10
10
00
01
10
11
10
11
00
10
00
01
00
10
00
00
00
01
00
11
10
00
10
11
10
10
01
10
01
11
00
01
00
10
00
00
10
10
00
01
10
10
01
00
10
10
10
10
00
01
00
11
10
10
00
01
10
01
01
11
10
01
11
10
00
10
00
01
10
01
00
00
00
01
10
10
00
01
00
10
10
11
00
00
11
10
10
01
10
00
00
01
10
00
00
10
11
11
00
10
00
00
11
00
10
10
10
10
00
01
10
11
00
10
00
00
00
10
00
00
10
00
11
00
10
10
01
01
00
10
10
10
10
11
00
00
10
01
00
00
11
10
11
00
10
10
10
11
00
00
11
11
01
01
00
10
00
10
10
00
01
10
00
10
10
00
11
00
11
11
10
00
00
00
00
01
01
10
10
11
00
10
11
00
10
11
10
00
00
10
00
10
11
00
00
00
01
11
00
10
00
11
10
01
00
00
10
00
11
11
10
01
11
00
11
10
10
00
00
11
01
10
10
00
00
01
00
10
10
10
00
00
11
00
00
10
10
11
00
00
10
00
01
01
00
10
00
00
11
00
00
11
10
10
01
10
00
01
01
10
00
00
10
10
00
00
10
10
10
00
00
00
00
10
01
11
10
10
11
01
10
10
01
00
00
10
00
10
00
10
00
10
00
00
11
00
00
00
10
11
10
01
10
11
00
00
00
10
10
10
11
00
10
10
11
01
01
11
11
10
00
10
10
00
00
00
00
10
00
11
10
01
10
01
11
10
11
00
11
10
11
00
00
10
10
10
10
00
10
00
10
10
00
00
11
11
00
11
10
10
00
10
00
01
10
10
10
00
11
00
11
11
01
01
01
00
01
01
10
01
01
10
10
00
00
10
10
11
01
00
00
00
00
00
00
00
10
01
00
11
01
10
00
00
00
10
10
10
10
11
11
11
10
10
11
00
10
10
00
10
10
00
00
10
11
11
01
00
01
10
10
00
01
10
11
00
01
10
00
01
00
00
10
00
11
00
11
01
00
10
00
11
10
00
00
10
00
11
10
10
11
10
00
00
01
00
10
11
10
10
11
10
00
11
10
00
11
00
00
10
10
00
00
00
10
10
10
00
00
11
11
10
10
10
01
01
00
10
11
11
01
11
01
00
01
00
11
00
10
11
00
00
10
00
01
11
01
10
01
01
11
00
10
00
00
00
10
10
00
11
11
10
01
10
11
10
11
00
00
11
10
00
00
00
11
11
00
01
10
00
10
00
11
10
10
01
01
01
01
00
10
00
00
10
10
10
00
00
10
00
11
10
01
00
11
10
00
01
10
00
11
00
11
10
10
01
11
01
01
11
11
01
10
10
00
11
00
00
01
11
01
10
11
00
10
10
00
10
10
11
01
00
11
00
10
11
10
00
00
01
11
10
11
11
01
01
00
00
10
10
01
00
11
10
01
10
00
10
11
10
01
01
10
00
00
11
10
00
01
11
10
11
10
00
10
00
01
10
10
01
01
00
10
10
01
00
00
11
10
00
00
11
11
00
01
10
01
10
10
01
01
00
11
10
00
10
10
10
00
00
11
00
00
10
01
11
00
10
10
00
00
10
01
01
11
10
10
00
01
10
10
01
01
11
11
10
11
10
00
00
00
11
10
01
00
11
10
00
01
01
11
10
10
01
01
10
10
00
10
11
11
01
00
10
11
00
00
11
00
10
11
10
10
01
00
10
00
00
00
10
01
10
01
01
00
00
01
10
00
10
10
00
10
01
01
10
11
01
00
11
10
10
01
00
00
11
10
01
11
00
10
10
01
00
10
01
11
10
01
10
00
01
10
11
00
01
10
10
00
10
00
00
11
00
00
10
10
10
10
10
01
00
00
10
10
10
00
01
00
10
00
01
10
10
10
00
00
10
00
11
10
00
01
00
10
01
01
11
01
10
11
11
00
00
10
10
10
10
00
00
01
10
00
01
00
00
00
11
11
10
00
00
01
01
11
11
00
10
01
10
10
01
01
00
01
10
10
00
10
11
00
00
10
10
10
11
10
01
00
00
00
00
10
00
11
10
00
01
10
10
11
01
10
10
01
01
01
01
11
00
00
11
11
00
00
11
00
10
00
10
00
00
00
11
10
11
01
01
00
00
00
10
10
00
01
11
10
00
10
00
10
00
10
00
00
00
00
10
00
11
10
01
10
00
00
11
00
00
11
01
10
11
10
11
10
10
00
10
00
01
10
10
00
10
00
01
01
01
00
10
00
01
10
01
11
10
10
00
00
11
00
11
11
00
00
00
10
01
01
10
11
00
00
00
00
01
11
11
00
00
11
00
00
01
01
00
10
10
10
01
00
11
10
10
01
00
10
01
00
10
11
10
10
00
01
10
00
01
00
10
00
00
11
10
01
00
01
00
01
00
01
10
10
10
10
00
00
11
01
11
00
00
01
10
10
10
10
00
11
10
00
01
00
11
00
00
10
10
10
11
00
01
10
00
01
00
01
11
10
00
00
11
11
00
01
10
00
11
10
00
00
00
11
10
10
10
10
01
00
10
00
10
10
01
01
10
00
11
10
00
01
10
10
00
11
11
10
01
00
00
00
10
10
01
10
10
01
01
00
00
11
10
00
00
10
00
10
10
01
10
11
10
00
01
01
11
10
10
00
00
10
00
10
00
11
00
00
00
00
01
00
10
11
10
01
00
11
01
00
00
11
10
00
10
10
00
10
10
00
00
00
01
10
11
10
11
01
10
01
00
00
11
10
00
01
00
00
10
00
10
10
00
01
00
11
11
00
01
01
00
01
10
10
10
10
01
10
00
00
10
11
00
01
01
00
10
00
10
10
00
01
10
10
11
01
01
10
00
00
10
00
00
10
10
00
10
01
10
10
00
10
10
10
10
00
00
00
10
01
10
00
11
00
10
10
11
00
10
10
10
11
10
00
00
01
01
10
11
01
01
00
11
00
00
10
10
10
00
01
11
10
00
01
00
10
10
11
00
00
10
01
00
01
00
10
11
11
01
01
10
10
11
00
00
10
10
10
01
11
10
01
10
00
00
11
01
11
01
00
01
00
10
00
11
00
00
00
10
00
00
01
10
01
00
00
10
10
00
10
10
01
10
10
11
10
11
10
00
00
00
10
00
11
01
01
10
00
10
01
11
10
11
01
00
00
01
10
01
01
10
11
11
00
00
00
11
01
10
10
10
00
01
00
00
00
01
10
01
00
10
00
00
00
00
10
00
01
00
11
01
11
11
01
01
10
11
00
01
10
10
00
01
11
10
10
00
00
00
00
10
01
10
00
11
10
00
10
11
01
10
01
10
00
00
00
01
00
10
11
00
00
00
00
10
01
11
11
01
00
00
00
10
00
00
10
11
00
10
01
10
01
11
11
00
01
00
00
11
11
10
10
11
00
11
10
00
01
10
01
10
11
00
00
00
10
01
00
10
10
00
10
10
10
00
10
11
10
01
00
00
10
01
01
00
10
01
00
00
00
11
11
00
01
01
11
10
10
00
10
11
00
00
10
00
00
11
11
11
10
10
10
00
00
00
10
00
10
10
00
00
00
00
00
11
10
10
01
00
00
11
00
00
00
11
10
11
00
10
01
00
01
00
11
10
10
00
10
11
01
00
01
10
00
01
11
10
00
01
10
10
00
00
10
10
10
00
10
10
11
10
10
11
10
01
00
10
11
10
10
10
10
11
11
00
11
11
11
00
11
00
00
10
10
11
10
00
00
10
10
10
11
00
00
10
01
10
11
00
11
10
00
10
11
10
01
00
10
11
10
10
00
00
11
11
10
00
01
11
11
00
10
10
10
11
01
01
01
10
10
11
10
10
10
01
00
10
10
10
00
10
10
00
10
10
10
01
11
00
00
00
10
10
01
10
10
00
00
00
11
10
00
10
11
10
00
10
00
11
10
10
11
00
10
10
00
11
01
01
00
11
01
00
01
01
10
10
00
00
00
11
11
11
00
10
10
01
00
10
10
10
11
00
10
01
10
00
10
11
00
01
01
00
00
10
10
00
10
10
01
00
01
11
10
01
10
00
10
00
01
10
00
00
00
01
11
11
00
00
10
00
00
00
01
10
01
01
00
10
10
11
11
00
01
10
10
00
01
11
00
00
10
11
10
01
10
00
11
10
10
10
01
01
10
01
00
00
01
10
10
11
11
01
11
10
01
00
11
11
10
00
01
00
00
11
10
00
00
00
01
10
11
11
10
11
11
01
11
00
00
10
00
00
01
00
11
00
00
10
10
00
00
10
10
10
10
01
00
00
11
10
00
01
01
10
10
11
00
10
11
10
01
00
10
00
11
10
00
11
10
10
00
01
00
00
00
10
00
11
10
10
01
10
10
10
11
10
01
00
01
00
11
10
11
11
00
10
00
00
10
10
00
00
00
00
00
10
10
10
00
00
10
00
11
10
00
00
00
11
00
10
00
10
00
00
10
00
10
00
10
00
10
10
10
10
10
00
00
01
00
10
10
01
00
10
00
00
00
01
00
00
01
00
11
11
11
01
11
00
10
10
10
10
01
00
10
00
11
10
00
00
00
10
10
00
00
01
00
11
00
00
10
10
00
10
11
01
01
11
01
11
11
10
10
00
00
10
00
10
10
10
00
01
10
11
10
11
10
10
01
00
11
10
00
00
10
11
00
10
00
10
11
00
10
01
10
11
01
00
11
11
10
10
00
00
11
00
00
10
10
10
00
00
01
00
10
10
00
00
10
00
00
11
10
10
10
00
11
10
11
01
00
11
11
01
00
00
10
10
10
10
10
00
10
10
10
01
00
10
10
10
10
00
11
01
00
10
10
00
01
01
00
10
10
00
10
11
01
10
10
00
10
10
11
01
00
11
11
11
10
11
00
10
00
01
10
10
01
01
10
10
10
00
01
01
11
10
00
11
10
11
10
01
01
10
11
01
11
10
10
01
11
10
01
01
11
11
00
11
10
00
01
01
11
10
11
01
10
11
00
00
11
00
00
10
10
10
11
10
00
00
10
00
10
11
11
01
00
11
01
00
00
10
10
00
10
00
01
00
10
10
00
10
01
10
11
00
01
00
10
11
00
10
10
10
00
10
10
01
01
11
00
00
00
01
00
11
10
10
10
00
00
00
01
10
10
01
11
00
01
01
10
00
00
01
10
10
00
00
10
11
10
10
11
10
10
10
00
00
11
01
11
01
00
01
00
01
00
01
10
10
00
01
00
00
10
11
00
01
01
01
01
10
10
01
00
11
00
00
10
00
10
00
01
10
11
00
10
00
10
00
01
11
11
01
00
10
00
01
10
01
01
11
00
01
00
10
10
11
00
00
10
10
11
00
00
11
10
01
11
10
01
00
00
01
10
00
00
10
00
11
10
10
01
00
10
01
10
00
10
10
01
10
11
10
00
00
01
10
10
00
01
11
00
11
00
01
10
00
01
01
00
10
10
11
00
11
10
00
00
00
10
10
01
00
11
10
00
11
10
10
01
00
10
00
00
00
00
00
10
11
10
10
01
10
10
00
00
11
10
01
00
11
00
10
01
01
10
11
10
01
10
01
10
00
10
11
00
00
10
10
10
11
11
10
00
01
10
00
01
00
10
11
11
11
11
01
00
00
10
10
00
01
11
10
11
01
00
10
10
01
00
10
10
01
10
00
10
10
01
00
00
01
10
10
10
01
11
00
00
00
10
00
01
11
01
00
11
10
01
00
00
10
11
00
00
00
10
00
00
10
11
01
11
00
01
10
11
10
01
00
01
10
10
10
00
00
10
10
01
00
10
11
00
00
00
01
10
11
00
00
11
00
01
00
01
10
10
00
10
00
10
00
00
00
11
10
00
01
11
11
11
10
10
10
01
01
10
01
10
00
11
01
10
00
11
10
11
00
01
01
10
10
00
00
10
11
11
11
00
10
10
00
01
00
10
10
11
10
00
00
00
11
10
00
00
10
00
00
11
10
00
00
00
10
00
00
10
10
00
10
10
00
00
10
10
01
10
01
10
10
01
01
10
10
00
00
10
00
11
10
10
10
10
00
00
00
00
01
11
10
01
00
10
11
00
00
01
10
01
00
10
11
10
01
01
10
11
00
10
10
00
00
11
01
01
00
10
10
01
01
10
00
00
10
00
10
10
11
00
10
00
00
00
10
11
00
10
10
00
11
00
11
10
10
11
11
10
01
00
11
10
00
00
00
11
10
00
01
01
10
01
01
10
10
00
10
00
01
10
11
00
00
00
11
01
01
00
11
00
10
00
11
10
00
00
11
10
00
10
00
00
10
11
01
00
11
11
11
10
01
00
10
00
00
00
10
00
00
10
11
01
11
10
00
11
00
00
01
11
11
00
00
00
10
10
10
11
01
01
00
11
00
10
00
01
10
10
10
01
10
01
01
10
01
11
00
11
10
00
01
10
00
10
11
00
01
01
10
11
00
00
10
00
00
11
10
10
10
11
00
10
00
00
10
00
11
00
10
10
10
01
10
00
00
01
01
01
00
11
11
00
00
00
11
10
10
00
01
11
10
00
10
11
00
10
00
01
11
11
10
11
00
00
00
11
11
01
10
10
10
00
00
00
11
11
10
00
10
00
10
01
10
00
10
11
00
11
01
00
01
11
10
00
10
10
10
00
01
10
11
01
00
10
11
01
00
00
10
11
10
11
00
10
10
10
10
01
00
11
00
00
10
00
11
11
10
11
10
00
00
11
10
01
00
11
00
10
00
00
01
10
00
00
11
10
10
10
00
00
10
00
10
01
00
00
10
00
00
10
11
10
10
10
10
00
10
10
10
00
00
00
01
11
10
11
10
10
00
01
00
00
00
10
01
10
11
00
10
10
11
00
00
01
10
11
01
00
10
00
01
01
00
10
11
11
00
00
10
10
00
00
00
00
10
10
10
10
00
01
10
10
00
10
10
01
00
11
00
10
01
10
11
11
11
00
01
00
10
10
00
10
10
00
01
10
00
01
00
10
10
01
00
00
10
00
00
00
11
10
10
00
10
00
10
10
10
01
01
01
10
00
00
00
00
10
01
00
00
10
10
00
11
01
00
00
10
10
00
01
11
10
11
00
00
11
00
00
00
00
11
01
10
10
10
01
10
10
00
00
10
10
00
11
11
10
00
00
01
01
01
11
11
00
11
10
11
01
10
10
00
01
00
10
10
10
00
01
00
11
10
00
00
00
01
00
11
10
11
00
10
10
00
00
00
00
10
10
10
10
00
01
00
10
10
01
00
01
10
10
00
10
10
00
00
10
00
10
00
10
01
00
11
00
00
00
00
11
10
00
00
00
10
00
11
10
01
01
11
01
01
01
10
00
11
10
10
01
00
01
11
11
00
10
10
11
00
00
10
01
10
11
10
11
10
10
00
00
00
00
00
11
00
00
00
11
00
10
00
00
10
10
10
01
11
00
00
10
00
11
11
00
10
10
10
10
11
10
10
00
00
01
00
01
11
00
11
11
00
00
10
11
10
11
10
01
10
11
00
00
00
11
11
00
00
01
10
10
00
00
10
01
10
00
10
11
01
00
10
00
00
00
10
11
00
00
00
00
11
00
10
01
00
11
00
11
11
11
11
10
00
00
00
10
00
01
00
00
11
11
10
01
00
10
11
00
00
01
11
11
10
10
11
10
01
00
01
10
10
10
00
00
10
11
00
01
11
10
00
00
11
11
00
01
10
00
00
10
00
10
00
10
11
10
01
00
10
00
10
00
10
10
00
00
10
10
01
00
00
00
10
11
10
01
11
10
00
00
01
00
10
00
00
01
00
10
00
10
00
00
00
10
00
01
10
00
00
01
10
00
10
10
11
10
01
01
10
00
01
10
00
10
10
01
00
01
10
11
01
01
10
00
11
10
01
10
00
01
10
00
01
10
10
00
01
10
10
00
01
00
10
00
10
10
00
10
10
00
00
11
10
01
00
01
00
00
10
10
10
10
01
00
01
11
10
10
11
01
10
11
10
00
00
00
01
10
00
00
00
01
01
10
01
11
00
00
11
10
10
01
00
01
10
00
10
00
11
10
10
01
00
01
10
10
00
10
10
00
10
10
10
11
00
00
01
11
10
11
01
00
00
00
01
11
10
11
00
01
00
01
10
01
10
10
01
10
00
00
11
10
01
00
10
10
00
10
10
00
00
11
00
00
10
10
01
01
11
10
11
10
10
00
00
00
10
10
00
00
01
11
01
10
00
10
00
10
01
00
00
10
10
11
01
00
01
10
10
11
11
10
01
00
00
01
01
00
10
10
01
00
01
10
01
10
10
10
10
00
00
10
10
00
00
01
11
01
00
11
11
00
00
11
11
00
10
00
00
01
00
00
10
11
10
10
10
11
01
10
01
11
10
00
10
10
00
10
11
01
10
10
11
11
10
00
00
11
10
10
00
10
11
01
10
01
11
00
10
01
11
01
00
10
11
10
00
00
00
10
00
00
00
11
11
01
10
11
00
10
00
01
10
01
00
11
10
10
01
01
01
11
10
11
00
00
10
00
11
00
00
11
10
11
01
00
01
01
00
10
01
01
10
01
00
11
10
00
10
01
10
10
11
00
01
10
11
11
11
00
00
00
10
00
00
00
10
11
10
01
00
11
11
10
10
11
10
00
10
10
00
01
10
10
00
00
00
11
00
11
00
00
10
10
00
10
00
00
01
10
11
10
01
01
00
00
00
11
10
10
00
01
10
00
10
10
10
00
01
10
00
00
10
01
00
11
10
00
11
11
01
10
10
00
10
00
01
10
10
00
11
10
00
00
10
00
01
00
01
10
10
11
00
00
00
10
11
10
10
10
10
01
00
10
00
10
10
00
00
10
10
10
11
10
10
01
01
10
00
10
10
10
10
10
00
10
00
00
11
00
11
00
10
10
00
01
01
10
10
00
01
01
01
00
00
10
00
01
01
00
10
10
11
11
11
11
10
01
10
10
00
01
10
10
00
00
00
10
11
00
00
10
11
01
11
00
00
11
00
00
01
11
10
00
01
00
01
10
10
11
00
01
00
11
11
10
00
11
01
00
00
10
10
00
01
00
10
10
00
00
11
10
00
10
01
00
11
10
01
00
10
10
00
00
00
11
10
00
00
00
10
10
00
00
01
11
00
01
01
00
01
00
10
10
00
00
01
11
10
10
00
00
00
01
01
00
11
10
00
00
00
11
10
00
01
11
11
11
00
00
10
10
10
01
01
11
11
00
10
00
00
10
11
00
00
10
00
00
10
00
11
11
00
01
00
00
00
00
10
10
11
00
00
00
11
10
00
00
11
00
00
11
11
10
01
00
00
10
00
00
10
00
10
00
01
00
01
10
01
00
00
10
10
00
01
01
11
11
10
10
01
00
11
00
00
11
00
00
10
00
00
01
10
11
00
11
10
00
01
01
00
11
10
01
01
10
10
00
10
11
11
10
00
01
10
11
11
11
11
00
00
01
00
11
11
00
00
10
11
00
00
10
00
01
10
11
01
10
00
10
10
10
10
00
01
10
11
00
10
00
00
11
00
00
10
01
00
01
10
00
10
10
00
11
11
00
10
11
10
00
00
10
11
01
11
11
10
00
01
10
00
01
10
10
00
10
10
10
10
00
11
10
11
00
00
10
01
01
00
01
11
00
10
11
00
01
00
10
10
11
00
01
11
10
10
10
00
00
10
10
00
10
10
00
11
10
00
01
11
11
10
01
00
00
01
00
10
01
11
11
11
00
00
11
10
11
10
00
01
00
00
10
11
10
01
00
11
01
11
01
00
01
01
10
11
10
10
11
10
00
01
10
00
10
10
00
00
00
11
10
10
10
01
00
11
10
10
10
00
00
11
11
00
10
10
10
11
01
11
00
00
00
11
01
00
10
00
10
10
00
10
10
00
01
00
11
11
10
10
00
10
00
10
10
01
00
10
10
11
11
10
01
11
00
01
01
10
00
00
10
00
10
10
11
10
00
00
10
00
00
11
00
00
11
01
01
00
01
01
10
10
00
01
11
10
01
00
00
10
00
00
00
10
11
01
11
10
10
01
10
00
00
01
10
10
00
10
10
00
11
10
00
10
01
01
01
01
11
10
00
00
11
00
00
11
11
11
10
11
00
10
01
00
00
00
00
00
11
10
10
10
00
11
01
10
00
10
10
10
10
10
00
00
01
11
11
00
11
00
00
00
00
10
10
01
10
10
00
10
10
10
11
00
00
11
10
10
00
10
00
11
11
00
00
11
00
11
00
01
10
10
11
00
10
01
00
10
10
01
10
11
00
11
11
11
00
10
10
00
11
00
10
10
00
01
10
00
11
10
00
10
01
00
11
01
10
10
11
10
00
00
11
10
00
10
10
01
10
10
00
00
11
01
00
00
10
00
10
10
10
10
10
10
00
10
00
00
00
00
10
10
10
00
00
01
10
11
01
00
01
01
10
10
01
10
10
10
01
00
01
10
10
00
00
10
10
00
00
11
01
00
10
00
10
10
10
10
10
00
00
01
10
11
00
01
11
01
10
10
10
01
10
10
00
01
10
10
00
00
11
11
11
10
10
10
10
10
11
00
00
11
10
11
10
00
10
01
11
00
10
11
01
00
10
11
01
10
01
11
00
10
00
01
01
10
10
10
01
10
01
00
00
10
11
00
10
10
01
01
11
10
10
00
10
00
00
10
01
10
10
00
01
11
00
00
00
10
11
10
11
00
00
10
00
00
11
11
11
11
00
10
01
00
10
10
00
00
00
11
10
00
10
01
10
00
00
11
00
10
01
10
11
10
10
01
01
00
11
01
00
00
00
10
00
11
11
00
11
00
10
00
00
11
10
01
11
01
00
10
10
10
01
00
10
00
01
01
10
11
10
10
00
01
00
00
11
00
10
00
00
01
10
00
00
10
10
01
00
00
11
01
10
11
01
01
00
11
00
10
10
00
10
11
11
11
00
01
10
01
01
10
01
01
11
10
01
00
00
10
10
10
00
00
01
01
11
01
11
01
00
10
11
11
10
00
01
01
00
10
11
11
00
01
11
00
11
11
10
00
00
10
11
10
01
00
10
11
10
10
00
11
10
00
10
00
00
00
00
11
11
01
00
10
00
00
10
11
00
00
00
11
01
00
11
10
00
10
11
10
00
00
10
10
00
00
00
10
10
00
00
00
00
10
10
00
10
10
00
10
00
10
10
00
10
10
00
10
01
00
00
11
10
10
01
01
01
00
10
00
00
00
10
10
00
10
11
00
01
00
00
10
11
01
01
11
11
11
01
11
00
00
10
11
00
01
11
11
01
00
01
11
10
00
00
10
10
00
00
00
11
11
00
01
10
11
00
00
10
00
10
11
11
01
01
10
10
11
00
01
10
00
10
10
10
01
00
11
10
11
01
00
10
00
01
10
10
01
11
00
00
11
00
11
10
10
10
11
00
00
00
11
01
00
10
10
01
01
00
10
00
00
00
10
10
11
01
01
10
10
10
00
10
10
10
01
01
10
01
10
00
11
00
10
11
01
00
10
00
11
11
01
00
00
00
10
10
01
00
10
11
10
01
10
00
00
10
11
00
00
11
11
00
10
11
00
10
10
01
10
00
10
10
10
00
01
00
00
10
00
10
10
10
11
10
10
00
00
11
01
10
10
10
00
00
00
00
10
11
00
00
10
10
00
01
11
11
10
00
01
10
00
00
11
10
11
10
00
01
10
11
11
01
00
00
10
10
00
00
10
10
00
11
10
01
11
00
00
00
00
10
10
00
00
10
00
10
01
00
10
00
00
10
10
11
00
10
01
00
01
00
11
11
11
10
00
10
10
10
00
00
00
10
00
01
00
01
01
10
11
00
10
10
00
00
11
00
00
10
10
10
01
00
11
00
10
10
10
00
00
10
10
11
01
00
10
00
11
00
10
00
10
10
10
10
01
00
10
11
11
01
00
00
11
10
00
00
01
01
10
11
11
00
00
10
01
10
11
00
00
10
10
11
00
00
10
00
01
00
10
10
00
00
10
11
10
00
00
00
11
00
01
10
01
10
01
10
11
10
10
11
00
10
10
10
01
10
11
00
00
00
01
11
11
10
00
00
01
01
00
00
10
10
00
10
00
10
11
00
10
11
00
00
00
00
00
00
00
11
11
00
10
01
10
11
01
11
01
11
10
01
11
00
11
10
00
11
00
01
00
10
10
00
00
00
01
10
10
00
10
10
01
00
11
10
00
10
00
10
00
10
10
10
10
01
11
11
10
10
10
01
10
00
00
11
10
11
11
01
10
00
01
00
01
00
10
10
10
00
01
01
10
10
10
11
10
00
01
11
10
00
00
10
00
00
10
01
10
01
11
00
10
01
00
00
00
10
00
01
00
10
10
11
01
00
00
11
01
00
00
10
00
10
10
00
10
00
00
10
11
00
00
10
00
00
10
10
01
11
01
00
11
11
10
00
00
10
10
00
00
11
10
00
01
11
10
00
01
10
11
00
11
01
00
11
11
11
00
01
10
10
10
00
00
00
11
10
11
00
00
00
10
10
00
11
00
00
11
11
00
10
10
10
11
10
00
01
10
10
01
10
10
00
01
01
10
11
01
11
01
00
00
11
10
00
10
11
10
00
01
10
01
00
01
00
11
00
00
01
10
11
00
00
10
10
00
00
00
10
11
00
00
01
11
00
01
11
00
01
10
10
10
10
00
10
10
00
10
10
00
10
00
01
10
00
11
00
10
00
00
10
01
00
01
11
11
00
10
10
10
00
00
10
10
10
01
00
00
00
01
01
00
10
10
10
00
00
00
11
00
00
10
10
01
00
00
10
00
00
00
01
10
01
11
11
10
01
00
01
00
10
10
10
10
01
10
01
11
10
00
00
00
01
01
11
11
00
01
00
10
10
00
11
10
01
00
00
11
00
10
10
00
00
10
10
11
00
00
10
10
11
00
01
11
00
10
11
11
00
11
00
10
01
00
10
11
00
01
10
00
00
01
10
10
01
11
01
00
10
10
01
10
11
00
00
01
01
01
10
10
00
00
10
10
00
00
00
00
10
01
10
10
00
10
00
01
10
11
10
01
00
00
00
01
00
10
10
00
10
00
10
10
00
01
00
00
10
10
11
11
00
01
00
11
01
00
01
00
00
10
10
00
10
00
10
01
00
00
00
00
00
00
10
10
00
11
10
00
10
10
11
01
00
11
11
01
11
11
00
11
01
01
00
11
11
01
01
10
11
01
01
10
01
00
10
10
00
10
11
10
01
11
10
10
00
00
11
00
11
00
10
10
11
10
01
01
10
00
00
00
01
10
10
10
00
10
01
00
10
00
10
01
10
10
00
00
00
01
11
10
10
00
10
01
10
10
00
11
00
00
10
00
00
00
11
01
11
11
10
10
10
00
00
11
00
00
01
10
10
00
11
00
10
01
10
10
00
00
11
10
00
00
00
01
10
00
11
10
10
10
01
01
11
00
00
00
11
01
00
11
10
00
00
10
10
00
00
10
01
10
11
10
10
10
00
00
00
11
10
00
01
10
10
10
00
00
00
10
01
11
10
00
10
00
00
01
00
01
10
11
10
00
01
10
11
10
10
01
00
11
01
11
10
00
01
10
01
00
10
11
00
11
00
10
10
00
11
10
10
00
00
10
10
10
00
01
10
11
00
11
00
11
00
01
10
11
10
10
00
00
11
10
10
00
00
10
01
10
10
11
00
11
00
00
10
00
00
01
11
11
00
00
10
10
11
10
10
10
01
00
01
10
10
10
00
01
01
10
11
01
10
10
11
01
00
10
10
10
11
00
01
00
10
10
00
10
10
10
00
10
10
01
01
00
01
00
11
11
01
10
11
00
00
10
11
01
01
10
10
11
00
00
10
00
00
00
10
10
11
11
00
01
01
01
10
00
00
10
01
00
00
11
01
10
11
00
00
11
11
10
10
10
00
11
01
00
10
10
10
01
00
01
00
10
01
10
01
00
10
10
10
11
00
11
10
11
10
01
00
10
00
00
01
00
00
10
10
01
00
01
11
00
11
10
00
00
01
10
10
11
00
01
10
10
00
00
10
10
10
00
00
10
01
00
00
10
01
00
00
00
10
00
11
00
10
10
00
10
00
10
00
10
10
11
10
10
10
11
00
01
00
00
10
11
00
00
00
11
00
01
01
10
10
10
01
01
10
11
00
00
10
11
01
00
00
11
10
10
10
01
01
01
10
00
10
11
10
10
00
11
11
11
01
01
00
10
01
10
11
00
10
10
11
00
10
01
00
10
10
10
11
00
01
10
00
00
10
10
10
10
10
10
00
10
11
00
00
00
10
10
01
01
10
10
10
01
00
10
10
01
10
01
00
11
11
11
11
11
00
00
01
10
10
10
00
01
11
10
10
00
00
10
00
01
01
01
00
01
01
01
01
00
10
11
00
01
10
11
01
01
10
00
00
10
00
00
10
10
10
00
01
11
00
10
00
01
10
10
10
10
10
00
00
10
00
11
01
10
10
11
00
01
01
10
10
00
10
00
11
10
11
00
10
10
10
10
00
11
01
00
00
00
00
11
10
10
10
11
00
00
10
00
01
11
01
00
10
11
00
01
00
10
10
00
00
10
10
00
11
11
00
01
10
11
10
00
11
00
00
10
10
10
01
01
10
00
11
00
00
00
10
11
00
11
00
10
11
01
00
11
10
00
00
00
10
00
00
10
00
10
00
11
10
01
10
10
10
10
10
00
00
10
01
10
10
00
01
00
10
10
00
10
11
00
01
10
11
00
11
10
00
10
01
01
10
11
10
10
10
00
10
10
11
00
11
10
10
01
01
00
11
00
00
01
00
10
10
01
00
00
11
00
11
10
10
11
00
10
00
11
11
00
01
00
11
00
10
00
01
10
10
11
01
10
00
01
00
00
10
10
10
10
00
00
00
10
10
10
00
00
01
10
10
00
01
11
10
01
11
11
10
00
01
10
00
00
01
10
11
00
00
00
11
10
10
10
00
00
00
01
10
00
01
00
01
10
10
00
10
11
00
10
11
11
11
00
01
00
00
00
00
10
11
00
00
10
10
00
01
10
00
00
11
10
10
00
10
10
00
11
10
10
11
10
00
10
01
10
01
01
11
01
11
00
00
10
10
00
01
11
10
01
00
10
00
00
10
00
01
11
10
10
01
00
10
10
10
10
01
00
10
01
10
00
10
10
00
00
10
01
00
01
00
11
10
00
10
10
10
00
00
10
10
10
10
00
11
10
00
01
00
01
10
10
11
11
11
01
00
11
10
00
01
01
10
10
01
00
01
00
00
10
01
00
10
11
00
11
00
11
10
00
11
01
00
10
00
00
11
01
10
10
11
10
00
10
10
00
00
00
11
00
01
01
00
10
10
01
11
11
00
01
00
11
00
10
00
00
00
10
10
00
00
10
00
11
10
11
01
00
01
00
00
10
10
00
11
10
01
10
01
00
10
00
10
00
11
00
00
10
00
01
10
00
10
10
11
01
00
00
00
00
00
00
10
11
11
10
00
01
01
00
11
11
10
10
10
00
10
00
01
10
11
10
00
11
11
10
01
10
10
10
10
00
10
00
00
11
10
00
00
00
10
00
00
11
11
00
11
00
00
00
01
10
00
00
10
00
11
00
00
10
11
11
00
10
10
00
01
00
10
10
01
01
00
11
10
00
10
11
11
11
00
00
00
11
11
00
10
00
10
10
00
00
00
10
00
11
00
10
00
11
10
00
10
01
00
10
00
01
01
00
10
10
10
10
01
01
10
00
10
10
01
11
11
10
10
00
00
10
00
10
11
00
01
00
00
10
10
10
00
01
00
11
00
10
10
01
10
00
00
10
00
11
11
10
00
00
10
10
10
01
01
11
00
01
10
01
00
10
10
00
10
11
00
00
10
11
00
00
01
11
00
10
01
01
10
01
10
10
10
10
00
00
10
01
01
10
10
00
00
00
00
11
01
00
10
10
11
11
00
00
00
11
00
10
00
10
11
00
00
10
00
10
10
01
00
11
00
01
01
10
00
00
01
10
00
10
10
00
00
10
00
11
10
01
00
11
00
00
01
00
10
11
00
00
00
10
01
01
10
10
10
00
11
00
10
00
01
00
00
01
10
00
00
00
10
10
00
11
00
10
10
00
11
00
11
01
01
00
01
00
10
00
00
11
10
00
10
00
00
00
00
10
11
00
10
10
10
00
01
00
01
11
11
00
00
10
11
00
11
11
00
00
10
11
10
00
00
11
00
00
11
00
00
11
10
01
10
11
01
00
10
11
10
00
10
10
11
01
00
11
10
00
10
10
00
00
00
01
00
00
00
00
10
00
10
10
11
00
01
00
00
01
01
00
00
10
10
01
00
10
00
00
10
11
11
10
11
00
11
10
00
10
00
10
10
11
01
01
11
00
00
10
11
11
10
00
01
10
10
00
11
10
01
00
00
10
10
11
00
00
10
10
10
01
01
01
01
01
01
11
00
10
11
00
11
10
00
11
00
00
00
01
10
10
00
00
00
01
11
10
01
01
10
00
10
00
10
00
11
11
10
00
10
11
10
00
00
00
01
00
11
11
11
10
01
11
00
10
11
00
10
10
01
10
10
00
00
00
00
11
11
10
01
10
00
01
00
11
10
00
01
10
00
00
11
10
11
01
00
00
00
10
10
10
10
00
11
10
10
10
00
10
10
00
01
10
00
10
10
01
00
10
10
11
10
00
10
00
10
10
01
10
10
00
01
10
11
10
11
11
01
11
00
00
10
00
10
10
00
01
01
11
00
10
00
00
01
00
01
00
10
10
11
01
00
10
10
10
11
11
10
01
00
10
10
10
00
01
11
10
00
11
10
00
10
00
10
11
00
00
10
10
11
00
11
01
00
11
10
10
00
10
10
10
00
00
10
01
10
00
00
10
00
00
10
00
01
10
11
00
10
00
00
00
00
11
10
01
11
11
01
10
10
00
00
11
10
01
00
10
01
11
10
00
11
10
01
00
11
01
01
00
01
01
10
10
00
10
10
00
10
00
00
01
00
10
00
00
11
11
00
01
00
01
00
11
10
11
10
01
00
00
10
10
00
00
00
10
00
10
10
11
01
00
00
10
10
10
10
00
10
00
01
00
00
00
10
11
00
11
10
10
00
00
11
11
10
01
00
11
11
00
10
11
10
00
00
01
00
10
10
00
10
11
10
01
00
10
01
10
11
00
01
00
01
10
10
10
01
11
11
01
00
10
00
11
10
10
11
01
10
10
10
00
00
10
00
10
00
10
10
01
00
10
00
10
01
01
10
10
00
10
10
00
10
00
10
11
01
10
10
01
10
01
10
10
00
01
11
00
01
11
01
00
11
10
01
00
10
00
00
11
00
10
10
11
10
11
01
00
00
10
01
10
11
01
00
11
10
10
01
10
11
01
01
11
10
10
00
10
00
01
10
11
11
00
10
10
10
11
00
00
00
00
11
10
00
01
00
10
10
00
10
00
10
01
00
01
11
10
10
11
10
01
10
10
00
00
10
10
10
00
00
00
10
10
10
00
01
00
01
11
00
00
00
11
00
00
10
11
00
00
00
10
11
01
00
11
11
10
11
11
00
00
10
11
11
11
00
00
10
11
00
00
01
01
11
10
11
10
10
00
10
00
00
10
10
00
00
11
10
11
11
10
10
01
00
00
10
11
00
10
10
00
10
11
00
01
10
11
10
10
00
00
00
10
10
00
00
00
01
10
11
10
00
10
10
11
11
10
10
10
01
01
00
00
00
10
00
11
01
10
10
01
10
10
10
00
00
10
10
10
11
01
11
11
11
00
11
00
10
00
01
10
10
00
00
11
00
00
00
10
10
00
00
11
00
00
00
10
00
00
00
11
10
11
01
00
00
10
00
10
10
00
10
11
11
00
01
00
00
01
10
10
01
00
10
01
10
10
01
00
11
00
00
10
11
00
11
10
00
00
11
10
11
00
00
11
00
11
11
00
00
00
10
00
10
10
01
01
10
00
10
10
01
00
10
10
00
00
00
10
10
00
10
10
00
11
11
01
10
10
01
00
11
00
00
10
10
01
10
10
11
00
10
10
01
10
00
00
01
10
01
10
11
00
10
00
00
11
11
01
01
11
01
10
01
10
10
00
00
11
01
00
10
00
00
10
11
01
00
00
10
10
10
11
01
00
01
10
01
11
10
11
10
10
00
00
11
00
00
10
00
11
00
11
10
00
00
00
11
00
10
11
00
01
10
11
01
11
00
00
00
10
01
00
11
10
01
00
00
10
00
11
10
10
01
00
00
00
10
11
01
00
11
00
10
00
01
10
00
00
10
00
00
01
00
01
10
00
10
10
10
01
10
00
10
11
11
00
01
10
11
01
00
00
11
10
00
00
10
10
00
00
10
11
10
00
00
00
11
10
10
10
00
00
00
01
10
10
00
10
00
01
10
00
01
01
11
00
01
10
00
10
10
10
11
01
10
00
00
11
10
00
00
00
10
11
11
11
11
10
00
11
10
10
00
01
00
01
01
00
00
10
11
10
10
00
11
11
01
01
10
00
11
10
01
00
10
11
11
11
10
00
00
01
00
00
01
10
10
01
00
10
10
01
10
11
00
01
01
11
10
00
10
10
00
10
11
01
00
10
11
10
00
00
11
00
00
00
00
00
10
00
10
10
00
11
11
11
00
10
11
00
00
01
10
10
00
10
00
10
10
00
11
10
11
00
10
10
00
00
10
10
00
00
11
10
10
01
00
10
11
11
00
10
10
01
01
11
00
10
11
11
10
00
10
10
00
00
10
00
01
10
10
11
10
01
10
00
00
00
10
11
10
00
00
01
01
00
10
11
10
11
00
00
00
00
00
01
00
11
01
00
10
10
00
00
11
11
11
01
10
11
11
11
10
00
10
11
00
10
11
00
00
01
00
11
01
10
01
11
11
00
01
11
10
01
00
11
10
00
01
00
11
10
00
00
10
00
10
01
00
00
11
01
00
00
00
11
10
00
11
10
11
10
11
00
10
00
01
00
01
00
01
10
10
10
10
10
00
00
10
00
10
10
10
01
00
10
00
00
10
01
00
01
10
10
00
01
10
10
10
01
00
10
11
01
01
10
10
01
01
10
00
10
10
10
11
10
00
00
11
10
00
00
11
01
10
00
00
00
00
00
10
10
00
00
01
10
01
10
00
11
11
00
00
10
10
01
00
00
10
10
10
10
10
11
10
00
10
00
10
11
10
01
10
00
00
10
00
00
11
10
00
10
00
11
10
00
00
10
10
10
00
00
00
00
10
01
11
11
10
01
01
10
00
10
00
00
00
11
10
10
00
01
01
11
11
01
10
10
10
01
00
11
00
01
10
10
11
00
00
10
00
00
00
01
11
10
00
10
11
10
01
00
00
10
00
11
01
00
10
01
00
01
10
10
01
10
10
11
00
01
10
10
11
01
11
11
10
10
00
00
00
00
10
10
00
00
10
01
10
10
11
00
01
00
00
10
01
01
10
11
00
00
00
11
11
10
00
00
01
00
11
01
11
10
10
10
10
11
00
00
10
10
10
10
00
11
10
10
10
10
10
00
00
00
11
11
11
00
00
00
01
10
10
00
10
10
00
01
00
00
10
00
00
10
11
10
00
00
00
00
10
01
00
10
10
00
01
00
10
00
10
10
11
00
01
11
10
01
00
10
01
00
11
11
00
01
10
10
01
00
10
01
00
11
00
00
11
00
00
00
11
00
01
01
11
10
00
11
01
11
11
11
10
11
00
01
10
11
00
01
00
10
10
00
10
00
00
10
00
11
00
00
10
10
10
10
01
00
01
01
00
10
00
01
11
00
11
00
01
10
01
00
10
01
10
00
10
10
01
11
00
01
01
10
10
10
00
00
01
11
10
00
00
10
01
00
01
01
11
01
00
11
10
10
01
00
10
10
00
01
00
11
10
10
00
10
10
10
10
01
00
11
00
10
11
00
00
10
10
01
10
01
10
11
00
00
00
10
00
00
00
10
00
11
10
00
11
11
10
10
01
00
00
01
00
10
10
00
10
10
10
10
11
00
00
01
10
01
10
00
00
00
10
11
00
00
10
00
00
11
00
10
01
10
01
00
11
01
10
01
01
10
10
01
00
10
00
01
01
00
00
00
00
10
00
11
10
00
01
10
00
10
00
11
10
00
01
00
01
10
10
00
11
00
01
01
10
10
11
10
00
00
11
00
01
10
00
00
10
00
11
00
00
11
00
11
10
11
00
10
11
00
11
11
00
01
10
00
11
00
00
10
11
01
10
00
00
00
10
10
00
00
00
00
00
10
00
01
00
10
10
11
10
01
10
11
00
00
00
00
10
10
11
00
01
11
10
00
10
10
00
10
10
00
11
10
01
01
00
11
10
11
11
01
00
10
00
00
10
00
01
00
10
00
00
10
10
01
10
01
00
01
01
01
00
11
10
00
11
11
01
10
11
00
00
00
10
01
01
10
01
00
11
10
10
00
10
10
00
00
00
00
10
00
00
01
10
11
10
10
01
10
11
01
00
11
01
10
00
01
10
11
11
01
00
00
11
10
10
00
00
10
10
01
10
10
10
10
00
10
11
00
00
00
10
11
00
00
10
10
01
01
10
10
10
00
00
10
11
01
10
10
01
00
00
10
10
01
10
00
00
10
11
00
11
10
00
01
11
00
00
01
10
10
00
10
00
00
01
10
11
00
10
10
01
10
00
10
11
00
11
10
10
10
10
10
10
00
00
00
10
10
01
11
00
00
11
10
01
10
10
00
00
00
10
10
00
00
00
00
00
00
10
10
11
10
11
00
10
11
01
00
00
00
10
11
10
11
10
00
01
01
10
10
00
00
00
11
01
11
10
00
10
11
10
10
00
01
11
01
01
10
00
01
10
11
01
11
11
11
10
01
00
10
10
01
00
11
00
00
11
10
11
10
10
11
01
00
00
00
10
00
01
10
00
00
11
10
10
00
11
10
00
11
10
00
00
00
10
10
11
00
11
01
10
01
10
10
01
00
11
10
01
00
01
00
00
01
10
10
01
10
00
11
10
11
00
01
10
11
11
00
00
10
10
10
10
00
01
00
11
01
01
00
10
00
01
10
01
11
10
01
10
10
10
10
00
10
10
01
10
10
00
01
00
11
01
10
10
00
11
10
00
01
00
10
10
10
01
00
00
11
10
10
11
00
10
00
10
10
00
10
00
00
10
00
00
11
10
01
01
00
00
01
11
11
00
00
10
10
10
00
01
11
11
11
01
00
00
10
11
11
00
01
10
00
01
10
00
00
10
10
00
00
00
10
10
00
00
10
10
01
00
00
00
00
10
11
11
01
00
11
10
00
00
10
01
00
11
10
00
01
00
01
00
10
10
10
00
10
00
00
11
11
10
00
10
00
00
11
01
00
10
10
00
00
00
10
11
00
00
00
00
00
10
00
10
10
01
10
10
00
10
00
10
00
01
00
10
11
00
00
01
01
11
10
01
10
00
11
00
01
10
00
01
01
10
10
00
01
10
10
00
01
00
00
10
11
11
01
10
01
01
01
00
10
00
00
10
11
11
00
00
00
10
00
10
11
00
00
00
01
10
00
00
10
00
10
01
00
00
11
00
10
01
10
10
00
00
01
00
00
10
00
10
00
00
10
00
01
11
10
10
00
10
10
00
11
01
10
01
11
10
11
11
01
11
11
10
00
00
10
10
01
00
00
00
01
00
10
00
00
11
10
10
01
10
10
01
01
00
10
11
10
00
10
10
00
00
01
11
00
00
01
00
00
00
01
01
11
11
10
00
10
01
00
10
01
00
00
10
01
11
11
00
11
10
00
00
00
10
00
00
11
10
01
01
10
01
00
10
00
00
10
01
10
10
11
11
00
01
10
00
00
01
11
10
01
00
01
00
10
10
11
10
01
00
10
01
10
11
00
00
00
00
10
10
10
00
10
01
00
00
11
10
01
10
10
01
10
10
10
01
00
11
10
11
11
10
10
01
11
10
00
00
00
10
11
01
10
10
10
00
11
00
11
10
10
10
00
00
00
00
00
10
10
11
10
00
00
01
11
10
10
00
11
00
10
00
00
10
01
01
10
10
00
10
10
01
01
10
11
10
00
10
11
00
11
10
01
10
11
00
01
11
00
11
00
00
10
11
11
11
11
00
00
01
10
00
00
11
01
00
11
10
10
10
10
11
10
00
00
01
00
11
01
00
10
11
11
11
00
00
00
10
11
10
10
10
01
00
00
11
10
11
10
10
01
01
01
11
10
00
00
00
00
10
10
01
10
01
10
00
00
10
11
11
01
10
00
00
11
10
00
11
11
00
01
10
10
00
01
10
00
00
01
10
11
00
10
11
01
10
10
01
00
00
10
11
01
10
00
10
00
10
10
00
10
11
11
00
00
10
00
00
11
10
10
00
01
01
10
01
00
10
10
01
10
01
01
10
10
00
11
00
10
10
00
00
10
10
00
10
11
01
01
10
10
11
10
00
01
00
11
10
10
10
01
00
00
10
10
10
10
00
01
11
00
10
00
00
10
00
00
11
00
10
10
10
00
11
01
10
10
00
10
10
10
00
01
10
10
10
00
01
10
00
11
00
01
10
10
01
00
11
10
10
01
10
01
00
00
10
10
10
00
00
11
00
00
10
10
10
10
00
00
00
10
00
00
00
10
01
10
01
00
10
00
11
01
00
00
10
00
00
10
00
00
10
01
11
00
00
10
11
00
00
10
11
00
10
10
00
11
00
01
00
11
10
01
01
11
10
01
10
01
10
11
01
01
00
10
10
00
11
11
01
10
10
10
01
00
00
11
00
10
10
01
00
01
10
01
00
00
00
10
00
11
10
00
10
10
10
00
00
11
10
01
00
00
10
10
10
00
11
10
00
00
11
11
01
10
10
01
01
11
00
00
00
01
11
11
10
00
00
00
10
10
10
00
10
00
10
11
10
11
10
11
00
10
10
00
11
00
00
11
10
00
00
01
11
10
01
00
01
11
01
11
00
00
00
11
11
10
10
00
00
10
10
00
00
10
11
00
11
01
11
11
01
10
10
10
10
10
10
01
01
00
10
00
10
10
01
00
10
11
01
10
10
00
00
11
00
00
11
10
10
00
10
11
00
01
00
10
00
10
00
00
11
11
10
11
10
10
11
11
01
11
01
10
00
11
01
00
10
10
00
10
01
00
01
01
00
10
11
10
01
11
10
11
11
00
01
11
10
11
01
00
10
10
00
11
10
00
00
00
00
10
11
10
01
10
01
10
00
10
00
01
10
01
00
01
01
10
11
01
11
10
00
00
10
00
00
10
11
11
00
01
10
10
01
00
00
00
10
00
11
11
01
01
10
00
00
00
10
01
00
10
10
10
10
11
00
01
10
10
00
11
00
00
10
00
00
10
00
10
00
00
11
10
10
00
00
01
01
00
01
00
01
00
00
11
10
00
11
11
01
01
00
10
10
01
01
11
11
00
11
00
00
00
00
10
10
10
10
00
00
11
00
01
11
10
01
01
10
00
00
00
00
10
10
10
10
00
00
00
01
01
00
10
01
10
00
11
10
01
11
10
11
10
01
00
10
00
01
00
11
10
10
10
00
01
10
10
00
01
01
11
11
00
01
10
10
01
10
11
00
00
10
00
00
00
10
10
11
00
10
00
00
11
00
10
11
00
00
10
10
00
00
11
00
00
10
10
10
10
10
11
00
11
10
01
00
10
11
01
11
00
00
10
00
01
11
01
00
10
10
01
00
00
11
10
01
11
10
00
00
11
00
01
10
10
00
01
10
00
10
10
01
10
01
10
00
10
01
10
01
10
01
00
01
10
10
00
01
11
11
00
01
11
10
00
01
10
11
00
01
00
00
10
00
10
01
10
00
00
11
00
10
11
11
01
01
00
10
11
11
00
11
11
01
10
11
11
00
00
11
00
00
01
00
11
01
00
10
00
00
11
00
00
11
11
10
01
00
10
10
00
10
00
10
00
10
10
00
10
10
11
10
10
00
00
10
00
11
00
11
00
10
10
11
11
10
00
00
11
01
11
10
00
11
11
00
00
01
10
10
00
10
01
01
10
10
10
10
10
10
01
01
11
10
00
01
11
10
10
00
01
00
10
11
00
01
00
10
00
00
00
10
10
00
00
00
10
01
00
00
10
00
10
10
00
11
10
01
00
10
01
00
10
10
01
00
10
10
10
00
00
01
00
01
10
10
10
11
00
10
00
00
11
00
11
10
10
10
00
01
10
11
00
01
10
11
01
01
11
10
11
01
01
10
00
00
10
01
00
10
10
00
01
10
10
11
00
00
00
00
01
00
11
01
11
00
11
11
10
10
01
00
10
10
10
11
10
00
01
10
10
10
10
01
10
11
00
00
00
10
00
11
10
00
00
10
10
01
10
00
10
00
11
10
00
11
00
11
00
00
10
10
00
10
01
11
10
01
01
10
10
00
11
00
00
10
01
10
10
00
11
11
01
10
10
00
01
10
10
01
00
01
11
10
01
00
00
11
01
00
10
01
00
10
10
01
10
00
10
10
10
00
00
00
10
11
00
11
00
01
00
00
00
10
10
00
00
10
01
11
11
11
00
11
00
00
00
10
00
01
10
10
10
01
00
00
10
10
00
10
11
00
00
11
00
01
10
10
00
01
00
01
11
11
10
10
10
00
00
01
10
10
00
10
01
10
00
10
11
00
10
10
00
00
01
00
11
01
10
00
00
01
10
11
00
01
00
01
10
11
10
00
00
10
10
00
11
00
01
11
11
10
10
11
01
11
10
00
11
00
00
00
10
10
00
00
10
00
00
00
01
10
00
00
00
10
10
10
10
10
00
11
10
01
10
00
00
10
10
11
10
01
10
10
10
10
01
11
01
00
00
01
10
11
11
11
00
00
10
10
00
10
00
11
10
00
11
00
10
01
00
10
00
10
10
01
01
00
01
00
00
00
00
11
11
10
00
10
01
10
01
00
11
10
01
11
10
10
00
01
10
10
00
00
00
10
10
01
00
10
10
10
10
01
00
10
00
00
10
10
11
00
01
11
10
00
00
11
10
01
00
11
00
11
10
00
10
00
11
10
00
01
10
10
11
01
00
10
00
10
00
10
00
00
10
01
10
00
11
11
10
00
10
10
01
10
01
00
10
00
10
10
00
00
11
11
10
10
11
00
01
10
11
01
10
01
10
11
00
10
01
00
00
10
00
00
11
00
11
10
11
01
00
10
01
00
11
01
01
10
10
10
11
10
00
00
11
10
00
00
00
00
11
10
01
00
10
00
00
10
00
01
01
00
10
11
01
10
11
00
10
11
11
10
00
11
00
00
01
00
11
01
10
01
00
10
11
10
11
11
00
00
00
00
10
01
00
10
10
00
00
10
10
10
00
11
10
10
10
11
00
00
00
11
00
00
10
00
10
01
10
01
00
01
00
00
00
10
11
10
00
00
11
10
10
11
10
00
01
10
10
00
00
01
00
10
10
10
01
00
11
10
01
00
10
11
10
00
11
10
00
10
10
11
01
01
11
10
11
10
00
00
11
10
01
01
00
01
01
10
10
10
00
00
00
11
10
00
11
11
00
01
10
01
00
11
10
00
00
10
10
10
10
00
10
10
01
00
10
01
10
10
00
01
01
11
00
00
10
10
00
10
01
00
11
10
00
11
10
00
11
00
00
10
10
10
10
00
01
10
00
10
10
01
00
10
10
00
00
10
00
01
10
11
11
01
11
10
00
00
00
00
11
10
10
00
10
11
11
10
01
11
00
11
00
00
11
10
00
01
10
10
01
00
00
01
10
00
00
10
01
00
10
11
11
10
10
11
01
00
11
00
11
01
01
10
00
10
11
10
00
11
10
00
10
01
00
10
11
00
01
10
11
01
01
00
10
11
10
10
00
00
10
11
00
00
00
10
10
00
01
10
10
11
00
10
00
10
00
11
00
00
11
00
00
01
10
00
00
11
11
00
00
10
10
00
00
11
00
10
10
00
11
11
00
00
11
11
00
01
00
00
10
10
10
10
00
01
01
10
00
00
10
00
10
10
00
10
10
10
10
10
10
11
00
10
11
00
11
01
00
00
00
01
10
11
00
00
11
10
10
10
10
00
00
00
10
01
00
10
01
11
00
10
10
10
00
00
10
10
10
00
00
10
10
00
00
01
10
00
00
00
10
00
00
10
01
00
11
01
10
01
00
10
01
10
10
00
00
10
00
01
10
10
11
10
11
01
01
01
10
00
10
10
00
11
10
11
10
00
00
10
01
01
00
11
10
11
01
00
11
00
11
01
10
10
11
00
00
10
10
10
01
11
01
00
10
10
10
00
11
11
00
00
10
10
00
11
10
10
10
01
00
10
10
00
10
11
10
10
00
10
00
10
10
01
10
00
11
01
10
10
01
10
11
11
10
01
01
10
10
10
00
10
10
01
11
01
10
00
01
10
00
00
00
10
01
11
10
01
01
10
00
10
01
00
11
10
01
00
10
10
00
11
10
01
00
00
00
11
10
10
11
01
00
11
10
11
10
01
00
01
10
10
11
10
01
00
00
10
11
00
10
10
11
00
00
01
10
11
00
01
00
10
00
10
00
01
00
01
10
00
01
00
10
10
10
01
11
11
00
10
10
00
00
11
10
00
10
00
01
11
10
10
01
00
01
00
10
10
10
00
00
00
11
00
00
01
01
10
01
00
10
11
11
00
00
10
10
00
00
00
10
00
10
11
10
00
00
10
00
10
10
10
00
11
11
00
10
11
00
11
00
00
00
01
11
11
00
00
10
10
10
10
01
11
00
10
10
10
00
00
11
01
11
01
00
10
00
11
00
01
01
10
01
01
10
10
10
00
00
01
10
01
00
11
00
00
10
10
00
01
10
10
10
00
00
00
11
00
00
11
00
01
10
01
10
00
01
10
00
00
01
10
10
00
00
10
11
10
10
10
01
00
00
01
11
01
00
11
10
00
00
01
11
10
00
00
01
00
10
10
11
10
00
00
00
10
10
10
01
11
10
01
10
01
01
00
10
10
01
00
11
10
11
10
11
01
10
11
00
00
10
00
01
01
00
10
11
11
00
10
11
00
00
01
00
10
10
10
01
11
10
01
01
11
00
00
11
01
00
10
00
01
00
11
10
10
00
01
00
10
00
11
11
00
00
00
11
01
01
10
10
10
11
10
11
00
00
00
01
00
11
10
01
10
01
10
10
11
10
11
01
10
11
00
00
00
10
10
01
00
10
10
10
01
10
01
11
01
00
00
10
00
10
10
10
10
00
00
00
00
10
10
01
00
11
00
00
10
11
11
00
00
10
11
00
00
00
00
11
10
11
10
10
01
10
10
00
01
00
11
01
11
11
00
00
11
01
00
00
11
10
11
00
00
10
10
10
00
01
10
01
00
10
00
10
00
01
11
10
01
11
11
00
01
00
00
10
10
10
10
11
01
10
10
10
10
00
00
10
00
11
00
11
10
00
00
00
11
00
00
10
10
00
01
10
11
10
00
01
00
01
00
00
00
10
00
01
00
10
10
00
00
10
10
10
00
00
10
01
00
10
00
00
10
11
11
11
01
10
01
10
10
00
10
00
01
10
11
11
00
00
01
00
01
11
11
00
10
00
10
11
10
10
00
01
10
10
11
00
10
10
11
00
00
01
10
00
00
01
11
01
00
01
01
00
00
10
10
10
00
10
10
10
01
10
00
10
01
10
00
10
10
01
10
00
00
00
11
10
01
00
00
11
00
00
10
00
11
00
00
10
00
10
11
11
10
01
10
11
00
00
01
11
10
00
10
00
01
10
11
00
10
11
01
10
10
11
10
10
10
01
01
10
00
00
00
10
10
00
10
10
10
11
10
00
10
00
11
11
01
00
01
00
01
11
00
11
10
00
00
10
10
01
11
10
10
10
10
01
10
00
00
00
11
10
11
11
00
10
10
00
10
10
00
10
00
10
00
11
00
00
10
01
01
01
10
00
01
00
10
11
00
00
10
00
10
10
01
11
10
00
11
10
11
00
01
11
00
00
10
10
10
00
00
11
10
11
00
10
10
00
01
00
10
01
00
11
00
01
11
10
11
10
10
10
00
00
00
00
01
10
01
01
00
11
10
01
10
11
01
00
11
00
00
10
10
01
00
11
10
10
00
00
00
10
10
00
00
11
00
01
00
00
10
01
01
10
00
10
10
10
11
11
10
00
00
01
10
01
00
00
10
10
00
10
01
00
10
11
00
00
10
01
10
10
01
01
01
10
01
10
10
00
10
11
01
00
10
10
11
11
10
00
10
00
00
00
11
11
01
01
11
10
01
10
00
00
10
10
10
01
00
11
10
10
00
10
10
00
11
10
10
00
10
10
00
10
00
00
01
11
01
10
11
00
00
10
11
10
00
11
10
01
00
01
01
00
11
10
11
01
10
10
10
00
01
10
00
00
11
10
11
00
00
10
01
00
00
00
10
10
11
11
00
10
01
10
01
01
01
11
10
11
10
00
00
00
10
01
10
10
00
10
11
11
00
10
01
00
00
00
10
10
10
10
01
10
10
01
00
11
00
00
11
11
00
00
10
11
00
10
00
00
00
00
00
10
11
10
11
10
00
00
01
00
00
11
10
00
00
10
01
00
11
11
10
01
11
10
10
10
00
01
10
11
00
00
10
00
10
00
01
11
00
00
00
11
00
10
01
10
00
01
01
01
00
11
11
10
01
11
10
00
10
10
00
01
10
11
01
01
10
01
01
01
10
11
00
00
11
10
01
00
11
11
01
00
11
11
01
10
10
10
00
11
10
00
01
01
00
10
10
10
00
00
00
10
10
01
10
00
10
10
10
11
00
10
01
00
01
10
10
00
01
01
00
10
11
01
01
01
10
11
10
11
00
00
10
10
00
00
11
00
00
10
10
10
00
10
10
10
11
11
11
00
01
11
11
10
01
01
10
10
11
01
01
10
10
00
00
10
00
00
11
11
00
10
10
01
01
11
11
10
00
10
10
00
00
00
10
10
10
11
01
00
01
11
11
00
00
00
10
10
10
10
00
11
11
01
00
10
10
01
01
11
11
00
01
11
10
00
01
11
10
00
00
11
10
10
10
00
00
10
00
00
00
11
10
10
01
10
10
10
10
00
01
00
10
01
00
11
11
10
11
10
01
01
10
00
00
10
10
10
10
00
10
10
00
01
10
10
11
00
00
00
00
10
10
00
00
00
01
00
00
00
11
10
00
00
10
10
10
00
10
10
00
00
00
01
11
10
01
00
00
10
11
10
10
11
00
11
00
10
11
01
00
11
00
00
11
00
00
10
11
01
00
10
10
10
00
00
10
10
00
10
11
11
10
00
00
10
00
00
01
00
10
10
00
11
00
00
00
00
11
01
11
10
00
10
10
11
10
00
01
00
10
10
10
00
01
00
11
00
01
01
01
10
00
00
11
10
01
01
10
10
10
10
00
01
11
10
00
00
10
00
11
00
10
01
00
01
01
00
00
11
00
10
00
00
11
10
00
10
01
10
01
00
10
00
01
00
01
10
10
10
00
10
01
01
10
00
00
11
11
00
11
10
00
10
00
01
00
10
10
10
10
01
10
10
11
11
01
00
00
01
00
10
10
01
00
00
10
11
10
11
00
11
00
00
01
11
10
10
11
01
11
11
00
11
01
00
10
01
10
00
00
00
00
00
11
11
10
00
00
10
00
01
00
00
10
11
11
00
01
11
00
00
11
10
00
10
00
11
00
00
10
11
00
00
10
00
01
11
11
10
01
00
10
01
00
01
10
00
00
10
10
11
10
00
01
00
00
10
00
11
00
10
11
00
10
00
00
11
10
01
11
00
00
10
11
00
00
11
01
10
10
10
10
00
01
11
01
10
11
10
10
01
10
00
01
10
10
01
00
11
10
10
00
00
00
01
01
10
00
00
01
00
00
10
11
10
10
10
10
00
00
00
11
11
01
11
01
10
11
11
00
10
10
00
00
01
11
11
11
11
11
01
10
00
00
00
00
11
10
10
00
00
11
00
01
11
11
10
00
00
10
11
11
11
01
11
10
01
10
01
10
11
10
00
00
10
01
00
00
10
00
01
10
10
00
00
00
00
00
10
10
10
10
10
01
00
00
10
10
10
00
11
01
10
00
11
10
11
11
11
01
01
10
00
10
11
01
10
11
00
00
00
10
11
00
00
10
00
10
10
01
01
00
11
10
01
00
10
10
10
00
00
10
11
10
10
11
01
01
00
01
10
10
10
11
01
01
00
10
10
00
01
00
10
00
00
11
01
11
01
00
01
10
10
11
01
01
11
01
11
10
00
11
00
00
11
11
01
11
11
01
00
01
01
11
10
10
00
00
10
10
10
00
00
00
00
00
00
00
01
10
10
00
00
10
00
01
11
01
10
10
11
00
00
11
00
01
01
11
10
10
10
10
00
00
10
10
01
10
10
00
01
11
10
01
10
00
00
00
10
11
10
00
00
01
01
10
10
01
10
10
00
11
10
01
10
10
01
01
00
00
01
10
01
10
00
01
10
11
00
11
11
10
10
00
10
11
10
10
00
00
10
10
00
10
11
00
00
10
00
10
01
10
11
01
01
00
01
11
00
10
01
10
10
00
00
11
01
11
11
00
00
10
10
10
00
00
11
00
00
11
11
00
10
00
00
01
11
10
10
11
10
01
11
10
00
10
11
10
11
00
10
01
10
11
11
10
00
00
10
10
11
00
00
11
00
10
10
10
10
10
00
00
10
10
10
10
00
00
11
00
01
00
10
00
00
01
10
11
00
10
11
00
00
11
10
00
11
10
11
10
01
00
11
10
00
00
10
00
00
10
11
01
10
00
01
00
11
00
01
00
10
10
10
00
00
00
10
10
10
11
00
10
01
10
11
11
11
01
01
10
00
10
10
10
01
00
10
00
00
10
11
10
11
10
00
10
00
00
01
10
10
00
11
10
10
00
01
10
00
01
10
10
00
00
00
10
10
10
11
01
01
00
10
00
00
00
10
00
01
11
01
10
00
11
01
00
10
00
01
10
10
11
11
00
00
01
01
11
10
10
00
00
11
10
11
01
10
00
00
11
10
10
00
10
11
01
10
00
00
01
01
10
11
00
11
00
00
00
01
10
00
01
10
00
00
10
01
10
01
10
11
10
10
10
01
01
10
11
00
11
11
10
11
00
10
10
00
10
10
00
00
00
10
00
00
00
11
00
00
10
10
00
10
10
01
10
10
10
11
10
10
00
10
11
01
00
00
11
10
01
00
10
11
00
00
10
00
00
10
10
10
11
00
00
01
11
10
10
10
11
10
11
00
01
10
10
10
00
10
10
10
00
11
11
00
10
00
00
01
10
10
00
10
10
10
10
01
11
00
00
01
00
10
01
00
11
10
00
00
10
10
01
01
11
11
10
00
10
00
00
10
10
10
01
00
01
11
10
01
10
01
01
11
10
10
10
00
10
10
00
10
00
00
00
01
10
11
00
10
10
10
01
01
00
11
00
11
00
00
10
10
00
00
00
10
00
10
10
10
10
01
10
00
00
00
01
00
01
10
11
10
11
01
00
00
10
01
01
01
11
10
01
00
01
01
10
10
00
00
10
11
01
10
01
00
10
00
10
00
01
11
10
00
00
11
00
01
11
01
01
10
10
10
00
01
00
01
11
01
10
10
11
00
11
10
01
00
10
10
00
00
00
10
11
10
11
00
00
00
00
01
11
10
00
10
11
11
10
11
11
10
00
10
00
00
00
11
11
01
01
01
00
00
10
11
11
00
01
10
11
11
10
11
00
00
10
00
11
00
00
10
00
10
11
10
00
00
00
00
10
11
10
00
00
10
01
00
10
01
11
11
00
01
10
01
11
00
00
00
10
11
00
00
10
00
00
11
01
10
01
00
11
10
00
11
11
01
00
11
11
00
01
10
00
00
01
10
10
00
00
01
10
10
11
10
00
00
11
00
01
10
10
10
10
10
00
00
10
10
00
10
10
11
00
00
10
00
00
01
11
10
01
10
11
01
00
10
00
00
10
10
01
01
10
10
00
00
10
10
10
00
00
11
00
10
10
11
00
00
10
11
00
00
00
00
10
11
10
00
10
00
10
11
10
11
00
00
10
10
00
00
00
11
00
10
00
00
10
11
00
10
01
00
11
00
00
01
11
11
10
00
00
00
10
01
00
10
10
11
01
00
01
11
00
01
00
10
10
00
00
01
11
10
10
01
00
11
00
01
10
10
10
10
00
01
01
10
10
11
00
10
10
00
10
10
11
11
00
00
11
10
00
00
00
11
00
00
10
00
01
10
00
10
11
10
10
10
10
00
10
00
01
10
00
10
00
10
10
00
01
11
00
01
10
11
01
10
10
00
00
11
00
01
01
10
10
10
10
01
10
10
10
00
00
00
11
10
00
10
00
11
10
10
00
10
10
11
10
01
11
10
01
00
00
00
01
10
01
00
11
00
00
10
00
01
00
00
10
01
00
11
01
11
01
10
00
01
11
10
10
01
00
11
00
00
10
10
01
10
00
01
10
00
00
00
11
01
01
10
00
00
10
00
01
00
10
01
00
00
11
10
00
00
01
10
00
11
10
01
10
10
01
10
11
01
00
10
00
11
01
10
01
01
01
11
00
10
10
11
00
00
11
11
01
01
00
00
00
11
11
00
00
10
10
10
10
00
01
10
00
01
11
10
00
00
10
11
00
10
10
00
11
10
00
00
00
00
10
10
10
10
00
00
11
10
10
10
10
10
01
00
10
10
10
10
10
00
00
10
00
00
10
10
10
11
00
01
00
00
00
10
10
00
01
00
10
10
01
01
01
00
00
10
11
10
10
00
00
00
10
00
10
11
10
01
10
10
10
01
01
00
00
10
00
10
00
00
11
00
01
01
10
10
10
10
01
10
10
00
10
11
00
01
01
01
11
10
00
00
10
00
01
10
11
00
10
11
00
01
11
11
01
11
11
00
00
00
10
00
01
11
01
01
01
10
00
10
10
00
01
11
00
10
11
00
10
10
01
11
00
00
10
10
00
01
10
10
01
11
11
11
00
00
00
11
00
00
00
11
10
01
11
10
01
11
00
00
10
01
10
10
01
00
10
11
00
10
10
00
01
01
11
00
01
01
10
00
10
00
00
00
00
10
10
10
00
11
00
11
11
01
11
01
10
00
10
10
10
00
01
11
11
11
10
00
11
11
01
00
10
11
11
00
10
00
01
10
01
10
00
00
10
00
10
10
01
00
00
01
00
10
00
10
10
01
11
11
00
00
00
10
00
00
10
10
10
10
01
10
11
10
10
00
10
00
00
10
10
00
00
10
01
01
10
01
11
01
01
11
10
10
11
01
01
10
11
01
10
00
01
11
10
00
00
11
11
00
10
10
00
01
10
10
00
10
11
00
10
00
10
00
10
10
01
11
00
10
11
00
10
01
10
10
00
00
01
01
00
11
01
00
01
00
10
10
10
00
01
10
11
11
00
01
10
11
11
00
00
00
10
10
00
00
11
10
00
10
00
00
10
00
00
00
00
00
01
00
10
10
01
00
10
10
01
00
00
10
10
01
10
11
10
01
10
11
11
00
00
01
10
11
01
00
01
11
00
10
10
01
01
10
11
00
01
11
10
00
01
10
01
10
10
00
00
01
10
11
00
00
01
11
10
10
00
00
00
10
10
00
10
10
00
01
00
01
11
10
01
10
00
10
10
10
11
10
01
10
11
11
01
11
00
10
10
00
00
10
00
00
00
10
00
10
10
10
11
10
00
00
10
01
00
00
01
00
00
00
10
11
00
01
10
00
11
10
00
11
00
00
10
01
00
10
00
00
10
11
10
01
10
11
10
10
00
00
01
10
00
00
10
11
00
10
10
11
00
11
01
10
10
01
00
00
10
11
11
01
01
00
00
00
10
11
00
00
00
00
10
11
01
10
00
01
10
01
01
00
00
01
10
01
00
10
00
00
10
11
11
00
10
10
10
00
00
00
10
00
11
11
01
00
01
01
10
01
00
11
10
00
00
01
01
01
00
10
01
00
10
01
10
10
00
00
10
01
11
10
00
00
01
00
00
11
01
00
10
10
10
00
00
11
00
10
11
00
10
01
00
01
00
11
11
10
10
00
11
10
00
00
00
01
11
01
01
11
00
00
11
10
10
01
11
10
11
01
00
10
00
11
10
00
00
01
10
00
10
10
01
11
11
00
00
10
01
00
00
10
10
00
00
00
11
11
01
00
11
10
10
10
10
01
00
01
10
10
00
00
01
00
10
10
11
10
10
00
00
10
11
10
00
00
11
10
11
01
10
10
00
10
10
01
00
00
11
00
10
10
00
11
01
01
10
01
00
10
01
00
10
10
10
01
10
01
11
01
10
01
11
10
10
10
00
00
00
00
10
00
10
11
10
11
00
10
10
10
00
00
10
00
11
10
00
10
10
01
01
10
10
11
11
00
00
10
00
00
10
00
01
10
00
11
00
11
10
11
10
00
00
00
00
00
01
11
10
00
00
01
00
00
11
01
11
11
11
10
11
11
00
10
10
00
01
00
11
11
00
11
01
11
11
00
00
00
00
00
11
00
11
11
01
10
01
00
00
00
10
11
01
00
10
00
10
11
00
10
00
01
00
11
00
01
00
11
11
11
00
00
10
11
00
00
10
11
01
10
00
01
10
11
00
01
10
10
00
11
01
01
00
10
10
10
01
01
11
11
01
00
11
10
00
11
10
01
00
01
11
01
11
10
01
00
11
01
00
10
11
10
01
10
10
01
11
00
00
10
10
10
00
10
01
01
10
10
01
10
01
00
00
00
10
00
11
10
01
01
11
00
00
01
11
10
11
00
00
10
11
00
10
10
01
00
01
10
10
10
01
10
01
01
10
10
00
00
00
01
10
01
11
10
11
10
11
01
01
10
00
01
10
00
00
01
00
11
10
10
11
01
00
00
11
10
00
10
00
11
01
01
11
00
10
01
00
01
00
10
10
01
10
10
10
00
00
10
10
10
11
10
01
10
00
11
11
00
10
10
01
00
00
00
10
10
11
10
01
10
10
01
10
10
10
10
00
10
10
00
11
10
01
01
11
10
00
10
00
10
10
00
00
01
11
11
00
11
01
10
00
00
11
10
00
00
00
11
11
11
00
01
10
10
10
11
00
00
11
10
10
01
00
00
10
10
00
10
10
10
00
11
10
00
11
11
00
01
11
10
10
10
00
10
10
00
00
00
00
00
00
00
11
00
01
00
00
10
11
10
00
11
11
00
10
10
00
10
11
10
01
01
11
00
01
01
10
01
00
11
10
10
00
01
10
10
10
10
10
00
01
11
00
00
01
10
01
10
10
00
00
10
10
00
00
10
01
01
00
10
10
10
11
00
01
00
10
10
01
01
01
01
11
01
00
00
11
10
00
01
00
10
01
01
11
11
00
11
10
10
00
01
10
10
10
00
10
10
11
00
11
01
10
00
00
00
01
01
10
10
00
00
00
01
00
10
10
00
00
01
00
11
00
01
10
11
11
00
10
10
01
00
00
00
11
10
11
01
00
01
11
11
11
10
00
00
00
10
10
01
00
00
00
10
10
10
01
11
10
01
00
10
01
00
10
11
10
11
11
10
00
10
01
00
00
10
01
10
00
00
11
10
00
00
00
01
10
11
00
00
10
10
00
01
01
00
00
01
10
01
10
10
00
01
10
10
10
00
10
11
11
01
00
10
01
00
10
10
01
00
11
10
01
11
10
00
11
10
01
01
10
01
00
11
11
10
00
00
00
11
01
11
10
01
00
10
11
00
00
10
10
11
00
10
10
01
00
00
10
10
00
11
10
01
10
10
10
00
00
01
00
00
00
01
00
10
01
01
00
00
00
10
01
11
10
00
11
00
10
10
01
00
00
11
10
10
01
00
11
10
01
00
11
00
01
00
00
11
11
11
01
01
10
00
00
11
10
00
10
01
10
10
00
10
00
01
10
10
00
01
10
11
01
00
00
10
10
00
10
10
01
00
10
00
00
01
10
11
00
10
11
01
00
10
10
01
01
00
10
00
11
10
11
11
00
10
10
01
10
11
00
10
00
10
11
00
01
10
10
11
10
11
01
01
10
00
00
00
00
11
10
10
00
00
00
11
11
10
10
00
11
10
01
11
11
00
00
00
01
00
10
10
10
10
01
10
01
10
00
11
00
01
00
00
10
10
00
10
00
00
01
11
11
00
00
11
00
10
11
00
11
11
10
01
11
11
00
00
10
00
00
10
01
01
01
00
00
10
10
00
01
01
10
11
10
10
00
00
11
11
00
00
11
10
00
11
00
00
00
10
10
11
00
00
10
10
10
00
00
00
00
10
00
10
01
10
00
10
11
00
10
00
00
10
11
10
00
00
00
01
00
01
10
00
10
01
11
10
01
00
00
10
11
11
01
11
10
00
10
00
11
00
00
10
11
00
00
10
10
10
10
10
00
10
10
00
00
01
11
00
10
00
00
10
10
10
00
10
01
10
00
11
00
10
00
10
10
00
01
10
00
01
00
01
01
11
11
00
01
10
00
00
10
01
00
01
00
11
11
11
10
00
11
11
00
10
10
10
00
10
10
00
10
00
10
00
11
10
10
11
01
10
00
10
10
10
01
00
10
01
11
10
00
10
00
00
11
11
10
00
00
10
10
10
00
00
10
10
11
11
00
00
00
01
10
00
00
10
11
00
00
11
00
11
01
11
00
00
10
00
10
00
10
10
00
10
01
10
01
10
11
01
10
10
00
10
10
10
01
00
11
01
00
01
10
00
00
01
10
10
10
01
01
01
00
10
11
10
10
10
00
01
00
01
11
10
10
00
01
00
01
10
10
00
11
10
11
10
01
01
00
10
00
10
10
11
10
01
00
11
10
10
00
00
00
10
10
10
01
11
00
01
10
01
00
00
10
00
10
10
10
00
10
00
11
10
10
11
00
00
10
00
00
00
11
10
10
01
00
10
11
00
11
10
01
11
10
00
10
10
11
10
00
00
00
00
10
10
10
10
00
10
01
01
10
01
00
11
10
01
01
00
00
01
10
01
00
10
11
11
11
10
11
00
11
00
00
01
01
11
10
01
00
10
10
01
10
11
10
00
11
00
10
00
01
10
10
10
10
01
00
10
00
00
11
10
00
11
00
11
00
11
10
00
10
01
10
10
01
01
10
01
00
10
00
00
10
10
10
01
10
10
01
10
10
10
01
10
01
01
10
01
00
11
00
01
00
00
10
10
00
00
10
11
11
00
10
10
10
10
10
10
00
00
10
00
00
00
00
00
01
10
10
01
11
01
11
00
10
00
01
01
10
00
01
10
11
11
00
10
10
11
11
10
01
10
10
10
10
10
01
01
10
11
11
00
10
00
01
10
00
01
10
00
10
11
01
00
11
10
11
10
01
00
01
01
01
10
10
00
00
00
10
10
00
01
11
10
01
00
01
10
11
00
10
00
00
10
11
10
00
11
10
11
00
11
00
00
00
01
01
10
10
10
00
10
00
10
00
00
10
00
01
00
11
00
01
00
00
01
10
10
11
10
01
10
11
00
10
10
01
00
11
00
01
00
00
11
10
00
10
00
00
01
00
01
00
11
10
00
01
11
10
00
10
00
01
01
10
00
00
10
11
00
00
10
01
11
11
01
10
01
10
00
10
01
01
00
01
11
11
00
10
10
00
01
11
00
10
10
00
10
00
00
00
11
10
10
11
01
10
00
00
10
01
00
10
00
00
01
00
00
11
01
01
11
10
00
00
01
10
10
00
00
00
00
10
00
10
10
00
10
10
01
11
00
10
00
00
10
10
10
10
00
01
11
11
11
00
00
11
00
01
01
10
11
10
00
00
11
10
00
10
10
00
00
11
00
00
00
00
11
00
00
11
00
10
10
00
00
00
11
10
10
01
00
00
00
11
10
11
00
00
01
01
11
10
11
00
00
01
00
10
00
01
10
10
10
10
11
00
10
01
01
10
10
00
10
10
11
01
00
01
11
11
10
10
11
00
10
10
00
00
11
01
10
11
10
00
11
00
01
10
10
11
00
01
10
00
11
00
01
10
10
00
10
00
00
10
10
00
11
00
11
10
10
01
10
11
00
11
00
00
10
10
00
00
11
10
11
00
10
10
10
10
01
00
11
11
10
11
00
11
10
00
01
00
10
00
10
10
11
01
10
01
01
00
10
10
00
00
00
10
10
01
10
00
00
10
00
10
11
00
11
00
00
00
10
10
10
00
11
10
01
10
00
01
10
11
00
01
10
11
00
00
10
10
10
01
00
00
10
10
00
00
10
00
00
10
00
01
11
11
10
11
00
00
10
10
10
00
00
10
10
00
01
11
11
01
11
00
11
10
00
01
00
10
10
01
10
00
00
01
11
11
01
00
00
10
00
11
00
01
10
10
00
00
10
10
10
00
01
11
00
01
00
00
01
10
10
00
00
11
10
10
00
11
10
01
11
00
01
11
01
11
00
00
10
00
00
11
10
00
00
11
01
11
10
00
00
10
00
10
11
00
11
11
11
01
10
10
00
01
11
00
00
10
01
10
00
10
01
00
01
11
11
10
00
10
11
00
10
10
00
01
01
00
10
00
00
10
00
01
11
10
11
10
11
11
00
11
10
01
00
00
11
10
00
01
00
01
00
10
11
10
00
00
10
01
10
10
00
11
00
10
11
10
00
01
11
00
10
00
00
00
00
10
11
01
10
10
11
11
00
10
01
01
11
10
01
11
11
01
11
00
01
11
10
10
00
01
10
00
11
00
00
10
10
10
01
01
10
10
10
11
00
01
10
00
11
00
00
01
00
10
00
00
10
10
00
01
00
10
01
00
10
11
10
10
01
00
10
11
10
00
10
01
00
00
00
10
10
00
10
10
11
00
00
10
11
01
10
00
01
00
11
00
00
10
10
10
01
10
11
00
01
01
10
01
10
11
00
10
00
10
11
00
11
00
11
11
00
10
10
10
00
01
11
01
00
00
10
10
00
00
10
00
00
11
10
10
10
00
01
11
00
00
00
00
11
01
10
10
00
10
11
10
01
00
11
01
10
00
01
10
10
11
00
00
10
01
00
10
00
00
10
10
10
11
01
00
11
10
10
10
10
00
11
00
01
00
11
00
10
10
10
00
11
00
00
00
10
10
00
00
11
01
11
10
01
10
00
00
11
10
00
11
01
10
10
00
00
10
00
00
11
10
10
01
00
11
10
00
10
00
00
00
00
11
00
01
00
10
10
10
11
10
01
11
01
00
10
01
00
01
11
00
00
01
10
10
00
00
00
01
00
10
10
10
10
10
10
00
11
10
00
00
10
00
01
01
00
00
10
10
10
10
00
10
00
00
11
11
10
10
00
00
01
10
11
00
00
00
01
10
11
00
10
01
11
00
01
11
10
00
10
10
10
11
00
00
10
11
10
11
10
00
00
10
00
00
10
11
10
10
10
01
00
01
10
00
01
10
10
00
00
10
10
10
00
00
00
00
00
11
10
00
01
10
01
00
11
00
00
10
10
01
01
00
10
00
00
00
11
11
10
10
00
11
10
01
11
01
10
01
00
10
00
10
11
01
10
10
00
11
11
10
01
00
10
10
00
01
00
10
01
01
01
10
11
10
00
00
11
10
00
10
10
11
10
10
00
11
00
00
00
10
01
11
10
01
10
00
00
00
10
10
00
00
10
11
00
10
00
10
11
01
00
10
00
10
10
00
10
00
01
10
00
01
00
10
10
00
11
00
00
10
10
00
10
00
00
10
10
00
00
01
11
10
01
01
10
10
11
01
11
00
01
01
01
00
00
10
10
11
10
00
01
10
00
00
00
11
10
01
10
10
00
00
10
00
10
10
10
01
10
10
10
10
00
10
11
00
00
10
11
00
00
10
00
10
10
10
00
10
01
01
10
11
10
11
00
11
00
00
10
11
10
00
10
11
00
01
10
01
11
10
11
00
11
00
01
10
00
11
11
00
01
11
10
10
01
01
11
11
00
01
01
01
01
00
11
10
10
11
00
10
00
10
00
00
10
10
10
00
00
00
00
00
10
10
00
10
00
10
10
10
00
10
00
10
00
10
01
00
11
10
11
00
01
00
10
00
00
00
00
11
10
11
10
00
10
10
01
01
00
11
00
11
10
00
00
00
01
10
00
10
11
00
11
10
00
11
11
11
01
11
00
10
11
10
10
00
00
10
10
11
01
00
00
00
11
00
00
11
00
00
10
11
01
01
10
00
01
10
10
00
00
00
11
00
01
00
01
11
11
10
10
01
00
10
10
10
00
00
00
10
10
01
00
00
10
10
01
00
00
00
00
00
00
00
00
10
00
10
10
01
11
01
11
11
10
10
11
10
01
00
10
00
00
10
10
01
10
00
11
00
10
00
11
00
10
01
01
01
01
11
00
10
10
10
00
10
01
00
00
01
00
01
11
11
10
10
00
01
10
10
10
00
00
10
10
01
00
01
00
00
00
10
10
00
01
10
10
11
00
01
10
00
00
00
00
11
10
00
11
00
01
10
01
01
10
10
10
00
00
10
11
11
10
01
10
00
11
10
00
10
10
00
10
11
10
10
00
00
10
01
11
00
00
00
10
10
11
01
10
10
00
11
11
10
10
01
01
00
11
10
00
11
11
11
10
10
00
00
11
11
10
00
01
00
11
10
10
00
00
00
00
00
11
00
01
00
10
10
00
11
11
11
00
11
11
00
00
10
10
01
00
11
00
11
00
10
10
10
10
00
00
10
10
00
00
10
00
10
11
11
10
10
11
10
10
10
00
10
00
10
11
00
00
10
11
00
00
01
00
00
00
00
10
11
10
10
00
00
00
11
10
10
01
00
10
11
00
01
00
10
00
00
11
10
10
01
10
10
10
00
01
10
00
11
10
00
00
10
10
11
01
00
01
10
10
11
10
01
11
10
10
11
00
10
00
01
00
10
10
00
10
10
10
00
10
01
10
10
00
01
10
11
00
11
00
01
00
10
10
00
01
01
10
10
01
00
00
11
10
01
00
01
11
11
00
10
10
10
00
00
10
00
11
10
00
01
01
00
11
11
00
10
00
00
10
10
00
10
10
10
00
01
00
11
11
00
11
11
00
10
00
10
00
00
11
11
10
10
00
00
00
01
00
10
00
01
11
11
00
00
10
11
00
11
00
00
00
11
00
10
10
01
00
00
00
10
00
00
10
10
10
10
10
00
10
00
01
10
11
10
10
11
01
11
10
10
00
00
10
01
00
11
10
00
11
00
00
11
00
01
00
00
01
01
00
11
00
11
00
00
01
10
11
00
01
00
01
10
10
01
00
01
10
11
01
00
11
10
00
01
11
00
10
10
00
10
11
00
11
01
10
01
01
00
00
11
01
10
10
01
11
10
10
11
01
00
10
10
01
11
00
00
00
11
10
01
00
10
11
01
01
00
10
10
00
10
00
00
10
10
00
10
11
10
01
10
00
10
10
00
01
00
10
10
10
01
11
00
00
00
10
00
00
10
11
00
00
10
11
10
10
00
01
00
01
00
10
10
00
11
11
11
01
00
10
10
10
11
10
01
01
10
11
01
10
01
10
00
10
01
01
11
01
00
10
00
10
01
10
11
01
10
11
11
00
10
00
00
10
11
00
00
11
10
11
11
01
11
10
10
00
10
10
01
01
01
00
10
10
00
00
10
00
00
01
10
01
10
11
00
00
01
11
10
00
10
10
11
10
00
10
11
00
00
00
11
00
11
11
10
10
10
10
01
10
00
00
10
01
11
00
00
11
10
10
10
10
00
00
00
01
00
10
01
11
00
10
00
00
11
11
11
11
01
00
10
11
11
01
00
10
00
00
11
11
11
01
01
10
01
00
00
11
10
00
10
01
01
10
00
00
11
01
01
10
00
00
10
10
00
00
10
11
00
00
11
10
00
11
11
10
01
01
10
00
10
00
00
11
10
00
00
01
00
11
00
10
10
10
10
10
01
00
10
00
01
10
01
00
11
10
11
10
00
01
11
10
00
10
10
00
00
10
01
00
10
01
10
11
01
00
10
01
11
10
00
00
10
10
11
00
10
11
01
01
00
00
00
10
10
10
00
01
11
00
10
10
10
00
01
00
10
00
10
11
00
00
10
00
00
10
00
01
00
00
11
00
01
11
10
11
00
00
10
00
00
11
00
11
10
00
00
00
11
00
01
10
00
10
00
10
00
01
10
00
00
01
10
10
01
00
01
01
10
11
01
11
00
10
00
00
10
01
10
10
11
00
01
11
00
00
11
10
11
01
00
11
11
11
00
11
11
00
00
00
11
11
00
00
11
10
00
00
11
11
00
00
00
10
10
10
00
00
01
10
00
01
10
00
10
10
10
01
01
10
00
01
11
10
10
00
01
00
01
10
10
10
00
10
10
10
01
01
10
10
01
10
10
10
10
00
10
11
10
01
11
00
11
10
00
00
11
10
11
11
01
00
10
01
01
10
10
10
01
11
11
01
01
01
10
00
00
10
11
10
10
00
00
10
01
10
10
10
00
00
10
11
00
11
10
10
11
11
00
00
00
00
11
10
00
01
11
10
11
10
11
10
10
10
01
10
10
10
00
00
00
00
11
10
00
11
00
10
11
01
11
11
00
00
10
00
00
10
11
00
00
11
00
00
00
10
00
00
11
11
00
00
10
10
10
10
11
01
10
00
10
01
10
00
01
11
01
00
10
00
10
10
11
00
00
00
11
01
10
10
01
10
10
11
00
00
01
11
10
10
00
00
10
00
01
10
10
01
01
11
00
10
01
10
10
01
00
00
01
10
10
10
10
10
10
10
00
11
00
10
10
10
00
10
01
10
10
00
10
00
00
01
11
10
11
11
11
00
00
00
10
10
10
01
01
10
10
10
00
00
10
00
01
10
00
00
11
11
01
10
10
10
00
10
10
10
00
11
10
01
00
00
01
00
01
10
00
10
10
00
00
00
10
00
01
10
01
01
10
01
01
01
00
00
10
00
10
10
00
00
10
00
10
01
10
10
10
00
10
01
10
10
10
00
00
10
10
00
00
00
10
00
01
10
11
10
11
00
11
11
00
10
00
01
10
10
00
10
00
00
10
10
10
01
01
00
00
00
01
10
10
00
11
10
10
00
00
10
00
00
10
00
00
00
10
10
11
10
10
11
00
11
00
00
00
10
00
10
11
00
01
10
00
10
11
00
11
00
01
00
01
10
10
00
00
11
10
11
10
00
00
00
01
11
10
00
10
10
01
00
10
00
00
01
11
10
00
11
11
00
00
10
00
10
11
00
00
10
10
01
00
10
10
11
00
10
10
01
01
00
11
01
11
10
11
00
00
11
10
10
00
01
10
10
00
10
01
11
01
00
01
01
11
01
11
11
00
00
10
11
00
01
11
10
00
00
00
00
01
10
11
01
10
10
00
11
01
10
10
00
01
00
00
11
10
00
01
00
10
00
10
10
10
11
00
11
10
01
00
00
00
01
00
01
01
10
11
00
11
00
11
10
01
01
10
10
00
00
10
11
01
11
11
10
10
00
10
10
10
01
01
11
11
11
00
00
10
10
00
10
01
00
10
10
11
00
10
11
10
10
00
01
10
10
10
10
00
00
00
10
00
00
10
11
10
10
01
11
00
00
00
11
10
00
00
11
00
01
00
00
00
10
11
00
10
11
11
00
10
10
00
01
01
10
10
10
10
10
00
00
00
01
00
10
11
00
10
00
00
10
10
00
10
10
11
01
01
11
00
00
00
10
10
01
00
11
00
00
10
01
01
10
11
00
00
01
10
01
10
11
00
10
10
00
10
10
10
00
11
11
10
10
11
01
01
11
01
00
11
10
00
00
10
11
01
00
10
10
10
01
10
00
01
11
01
10
01
00
00
10
10
01
00
01
10
00
11
10
00
10
10
00
00
10
00
11
00
11
10
11
10
01
10
10
01
00
10
01
10
11
00
00
01
10
10
01
00
10
01
10
01
10
11
00
11
10
10
00
01
00
10
01
01
11
00
00
10
00
00
11
10
00
01
00
11
10
10
10
00
01
11
00
01
00
01
00
00
11
10
11
10
01
00
00
00
00
00
10
11
01
00
00
00
00
01
01
10
10
10
10
10
00
00
00
10
11
00
01
10
10
10
01
11
10
00
00
00
11
11
00
01
10
10
01
10
10
00
00
00
10
00
00
01
00
10
00
10
10
00
01
10
10
11
00
00
01
00
01
01
10
11
10
00
10
00
00
01
00
11
11
00
11
01
10
00
11
10
01
00
10
10
10
10
00
11
01
10
10
00
00
11
00
11
10
00
01
11
10
01
10
10
10
00
00
01
10
10
10
01
01
10
00
00
11
11
00
11
00
01
10
00
10
00
00
10
10
10
10
10
00
00
00
01
00
10
00
10
10
00
00
10
10
01
00
10
00
01
10
00
00
10
11
00
11
00
10
00
01
00
11
01
01
00
11
01
01
10
10
10
10
00
01
10
00
01
11
01
00
11
10
11
00
00
01
10
01
11
11
01
00
01
10
00
11
00
10
10
00
10
00
00
01
01
10
11
01
01
01
01
11
10
01
00
00
10
10
00
00
11
01
11
11
11
01
10
10
10
11
00
00
10
00
00
10
10
10
01
00
01
01
00
01
01
11
10
10
01
00
01
10
10
00
01
10
01
00
11
10
10
10
00
01
10
00
00
00
10
01
00
10
11
00
10
01
01
10
01
00
10
10
10
00
10
10
01
00
10
10
00
11
10
00
00
11
00
00
10
00
01
10
01
10
00
01
01
00
11
01
00
01
11
00
00
10
11
00
00
11
00
00
00
00
10
01
00
10
11
00
10
10
10
10
01
00
00
00
10
10
00
10
10
00
00
10
01
00
10
00
00
10
11
01
01
00
10
10
11
01
00
01
00
10
11
11
11
01
00
11
10
00
01
10
11
00
11
11
01
00
00
11
10
10
10
11
00
00
10
10
10
10
10
01
00
11
00
11
00
01
00
00
10
10
00
01
01
10
10
10
00
10
01
01
00
10
00
00
01
10
00
10
10
00
00
10
11
10
00
11
10
10
00
00
10
10
01
01
01
00
11
00
00
00
00
10
00
11
10
00
10
10
01
00
11
00
10
11
01
10
00
11
10
01
00
10
10
01
10
11
00
00
00
01
01
00
01
10
10
00
01
10
00
00
10
01
10
11
00
00
11
10
10
01
11
10
10
00
00
10
00
10
01
10
10
01
10
10
10
00
00
00
10
00
00
00
10
10
10
00
00
10
10
10
00
00
01
01
01
00
00
01
00
01
10
11
00
11
00
10
00
10
11
00
00
10
10
00
00
00
11
00
01
10
01
11
10
11
01
10
10
00
00
00
10
10
00
01
10
10
00
11
10
10
00
10
10
00
01
10
11
10
10
00
00
10
00
01
00
11
10
01
10
00
00
10
11
00
11
00
01
00
01
11
10
00
01
11
01
10
11
10
01
11
10
00
00
11
10
11
00
10
11
10
10
00
00
01
00
10
01
10
10
00
11
00
00
10
11
00
00
00
01
11
10
00
00
11
11
00
00
10
10
11
11
10
10
01
00
11
10
10
00
10
00
01
01
10
10
00
00
00
11
00
10
10
11
11
11
10
10
10
10
00
01
00
11
00
00
01
10
01
10
10
01
01
00
10
11
10
10
01
00
00
10
10
00
10
10
11
00
00
10
10
00
01
10
00
10
00
00
10
01
10
01
11
01
00
10
11
00
00
10
00
10
00
00
10
00
00
01
00
00
10
10
00
11
10
00
01
00
00
10
10
01
00
01
10
01
00
01
10
00
00
10
11
01
01
10
00
11
00
10
10
10
10
01
01
10
01
00
00
00
00
10
10
01
01
01
01
10
10
10
10
10
11
00
00
10
00
10
11
11
01
10
10
10
00
00
11
10
10
01
01
10
10
00
00
10
11
00
11
00
00
01
10
01
00
01
11
10
00
01
10
11
01
00
10
01
00
10
10
00
01
10
10
00
11
00
10
11
00
00
11
00
00
00
01
10
11
00
10
00
10
00
00
00
10
00
01
10
10
11
10
10
00
10
10
00
10
10
00
01
11
11
00
10
00
10
10
11
00
01
00
10
10
00
00
00
10
00
00
11
01
00
01
10
01
00
10
10
00
00
11
10
01
01
10
00
01
00
10
10
00
00
10
00
01
00
00
10
00
00
11
10
11
11
00
00
00
00
01
01
00
10
00
10
11
00
10
01
11
00
00
00
10
10
11
10
10
01
11
00
10
10
01
10
00
10
00
00
11
10
01
00
01
01
00
00
10
00
10
10
00
00
10
11
11
11
10
00
10
00
11
00
10
10
01
01
10
00
01
10
00
10
00
11
11
01
11
11
00
10
10
11
00
00
11
00
00
10
10
01
10
00
00
10
00
10
00
10
11
01
00
01
00
10
01
00
11
00
00
00
10
00
01
10
10
10
00
10
00
10
11
00
00
10
10
01
00
00
10
10
00
10
10
01
01
10
10
10
01
00
00
10
10
00
11
01
11
00
00
10
11
00
00
00
10
10
00
10
10
10
00
00
10
00
10
10
11
10
10
00
00
10
10
00
00
11
11
10
10
01
00
00
00
01
10
10
01
10
10
01
11
11
11
00
00
10
00
10
10
00
00
11
10
01
11
01
10
00
10
10
01
00
11
01
10
10
10
11
10
10
00
10
10
11
00
01
11
10
10
10
00
10
10
00
10
10
00
10
01
01
00
11
10
10
01
01
00
11
01
11
00
00
00
10
01
00
01
00
10
10
10
00
00
10
11
00
01
00
10
11
00
00
10
10
00
11
10
01
00
11
11
00
01
10
10
01
11
11
01
01
11
00
11
11
10
11
00
01
11
10
10
00
00
10
00
00
11
10
00
00
01
01
10
00
00
01
10
10
11
11
10
01
10
01
00
11
10
11
00
00
00
11
11
00
00
10
01
10
00
01
00
11
10
10
00
10
11
00
00
10
10
10
01
00
00
10
11
01
00
11
10
10
00
01
01
11
10
00
00
01
10
00
11
10
01
00
00
00
01
00
11
00
00
10
10
11
10
10
01
10
10
00
00
10
00
01
10
11
10
10
00
10
10
00
10
10
01
00
00
00
01
10
01
10
11
01
00
00
11
10
00
00
10
10
10
10
01
00
00
01
00
10
00
01
10
11
01
01
01
10
00
10
01
00
10
10
10
10
00
00
00
10
11
11
00
00
10
01
01
00
00
10
10
10
00
00
11
00
11
00
01
10
10
11
10
00
00
00
10
10
01
01
00
10
11
10
00
11
11
10
01
10
11
11
01
00
00
01
01
00
10
10
01
00
10
11
01
00
01
10
10
11
10
00
00
01
11
10
11
10
00
00
10
10
01
10
11
10
10
10
00
00
00
10
11
11
10
10
00
00
00
10
11
00
01
01
00
11
11
10
01
00
10
00
10
10
00
00
11
10
10
00
10
11
00
10
00
00
00
01
10
10
11
00
10
00
10
00
01
00
10
10
01
01
10
11
00
11
11
11
00
10
10
01
00
11
00
01
10
11
00
10
11
00
10
11
10
00
10
10
01
00
11
00
10
01
10
10
00
00
01
10
10
01
00
11
10
10
10
00
10
10
00
00
00
10
01
11
10
10
10
10
10
11
10
10
10
00
01
10
01
00
01
10
00
00
00
10
00
00
10
11
01
10
11
10
10
10
01
01
10
11
01
10
10
10
00
00
00
10
10
00
10
01
10
00
01
01
11
11
10
11
00
01
11
11
00
00
10
00
11
10
11
10
01
10
01
00
00
00
00
10
10
00
01
11
11
01
10
00
01
10
10
10
00
00
11
11
00
10
01
10
10
00
10
10
00
10
10
00
00
11
10
10
00
10
00
10
11
00
01
00
00
10
00
00
10
10
00
11
10
10
01
01
00
01
00
11
10
00
10
00
11
01
11
00
11
00
00
00
10
10
00
10
11
11
00
11
11
10
01
11
10
00
10
10
01
01
00
01
10
11
11
01
10
10
00
00
00
10
00
00
10
10
11
10
00
10
00
10
00
00
11
11
11
00
10
00
00
01
11
11
10
10
10
10
00
00
00
10
00
00
00
11
10
01
10
10
00
11
00
00
01
10
10
00
10
00
11
00
01
10
00
10
01
10
10
10
11
00
10
11
10
11
00
00
00
10
11
01
00
01
00
10
11
11
11
10
00
00
11
10
01
10
10
00
00
10
11
10
00
00
00
11
00
00
01
00
00
10
10
00
11
11
00
10
01
01
10
10
00
00
11
00
00
10
00
10
11
10
00
00
01
10
00
00
10
00
11
00
00
10
00
11
01
01
11
00
01
10
01
10
00
00
11
10
00
01
00
01
10
01
00
01
00
01
01
10
00
00
10
10
00
11
00
00
11
11
01
10
11
01
00
10
00
11
10
01
00
11
10
00
10
11
00
00
00
10
00
01
10
00
00
00
11
10
11
10
11
10
01
01
10
00
01
10
01
10
10
01
01
00
11
11
10
10
00
00
11
01
01
10
10
00
10
10
00
10
11
01
00
00
00
01
10
01
10
10
10
11
10
01
00
00
11
10
01
10
01
00
10
00
00
00
10
11
00
01
11
11
10
10
10
01
01
10
11
01
01
11
11
00
00
10
11
01
01
10
01
10
00
10
10
01
10
10
00
01
10
11
01
10
11
10
00
10
10
00
00
10
11
10
10
00
11
00
01
00
00
10
10
00
11
00
00
00
10
00
00
10
01
10
10
00
00
01
00
11
10
00
10
10
10
00
10
10
00
10
11
10
11
01
10
00
11
11
01
01
11
11
10
10
00
00
11
10
00
10
11
01
10
00
10
11
10
10
11
00
01
10
00
00
10
11
00
00
10
00
00
11
10
00
00
00
10
10
10
10
10
00
01
00
10
01
11
11
01
10
11
10
11
10
01
00
10
00
00
11
11
01
11
00
10
11
11
00
00
10
11
00
01
00
00
10
10
10
00
10
01
11
00
10
00
00
11
11
00
10
10
00
11
11
11
01
00
11
00
10
00
10
10
11
11
00
00
11
10
10
01
00
11
10
10
00
10
10
00
00
10
10
10
10
01
00
10
00
00
01
01
01
11
11
00
10
10
10
10
10
11
01
11
00
00
10
00
10
01
00
11
00
10
00
10
00
11
01
01
11
10
10
10
01
00
01
10
11
10
10
10
10
11
00
01
10
01
01
00
11
01
10
10
10
01
10
10
00
00
11
00
01
11
10
10
11
01
00
11
11
00
10
10
00
11
10
10
00
01
10
10
11
10
10
00
01
01
00
10
11
10
00
10
00
00
00
01
10
01
11
11
00
00
10
10
00
00
00
11
10
00
11
01
10
10
10
10
01
11
00
00
10
01
10
10
00
10
10
10
00
00
10
10
11
10
00
00
10
10
10
11
11
00
10
00
00
11
00
10
00
00
01
11
10
01
10
11
11
10
10
01
01
01
11
10
00
10
00
11
11
10
01
00
11
11
11
00
11
10
10
10
01
00
00
00
10
10
00
01
00
10
00
10
11
11
10
00
10
00
00
10
10
00
10
01
10
01
00
10
00
11
00
10
10
00
10
00
01
10
10
10
10
10
00
00
10
10
00
10
11
00
11
00
10
10
01
11
01
11
10
01
11
10
00
10
00
00
10
11
11
10
00
10
00
11
10
00
00
00
01
01
11
11
00
10
01
11
11
01
01
10
00
11
00
01
11
01
11
00
01
01
10
11
00
00
11
00
10
10
00
10
00
00
01
10
10
01
10
01
01
10
00
10
10
00
11
10
00
00
01
01
10
10
01
00
11
10
11
01
01
00
10
00
01
10
11
10
01
00
11
11
00
10
00
00
10
10
00
00
10
00
11
00
10
10
00
01
00
01
01
01
10
00
10
10
10
01
00
10
00
10
00
00
11
00
10
10
10
10
01
10
10
00
11
10
01
10
01
10
00
00
00
10
10
10
00
11
10
01
00
00
00
00
01
11
10
00
01
10
00
00
10
10
01
00
00
10
11
10
11
11
01
10
10
00
00
10
10
10
00
01
11
00
00
10
11
10
01
10
10
10
10
00
00
10
11
01
00
10
11
11
10
00
01
11
00
00
10
00
10
11
00
00
00
10
10
10
00
00
10
01
00
11
10
00
00
10
11
00
00
10
10
00
10
00
11
10
11
00
01
11
00
10
11
11
00
11
01
00
00
00
10
10
10
01
11
11
01
01
00
11
10
01
01
11
10
01
00
11
10
00
01
10
10
01
01
00
01
10
11
11
00
01
00
10
11
10
10
01
00
11
00
00
00
11
10
00
11
10
00
10
00
11
10
10
00
10
10
00
10
11
11
10
11
10
10
01
01
10
00
00
11
10
01
00
00
10
11
10
00
10
10
00
10
11
11
00
00
10
11
01
10
00
00
10
11
00
00
11
00
10
00
01
10
10
00
11
10
01
10
00
01
00
11
10
00
01
00
00
10
11
00
01
10
01
00
10
10
10
11
00
00
00
00
00
01
10
10
10
10
00
11
10
01
00
10
10
10
10
00
10
00
00
10
00
00
10
11
00
11
00
00
10
01
11
00
10
10
11
10
10
00
00
11
01
00
10
01
00
11
00
11
10
11
00
01
00
00
01
10
10
01
10
00
00
10
10
11
10
00
10
11
01
01
00
00
01
11
10
11
00
01
00
00
10
00
10
11
10
00
10
01
11
00
11
11
10
01
00
00
11
00
00
10
00
00
10
11
00
00
11
00
01
00
00
10
11
00
10
11
00
00
10
01
00
00
10
11
10
10
10
00
10
00
10
10
00
10
11
11
01
00
11
10
10
10
01
00
10
10
00
01
11
10
00
10
00
10
00
10
10
00
00
10
11
10
10
00
10
01
10
01
00
10
00
01
10
11
10
01
10
10
01
10
00
01
00
10
10
10
00
01
00
00
00
10
00
01
10
10
10
00
11
11
10
00
00
00
01
10
10
10
00
00
11
00
10
11
10
00
01
10
11
00
11
10
00
10
00
10
01
01
11
10
00
10
10
11
01
01
11
00
00
11
01
11
00
01
10
10
00
00
11
00
01
10
10
11
00
00
11
10
00
10
11
00
00
11
10
10
00
10
10
11
00
00
00
10
11
10
00
01
10
00
10
10
00
10
10
01
10
11
01
00
00
00
10
10
10
00
01
11
10
11
00
01
00
10
10
11
11
00
11
11
10
01
00
01
00
00
10
11
10
10
00
00
10
11
01
00
11
01
11
11
00
10
01
10
10
01
01
01
01
01
10
00
01
10
00
11
11
00
00
00
00
00
10
10
01
10
11
00
10
10
11
10
11
10
01
00
10
10
00
00
10
10
00
10
11
10
00
10
10
00
10
10
00
01
00
01
10
00
00
00
10
10
01
10
00
00
00
10
00
01
00
10
00
00
00
10
11
10
00
10
10
10
00
00
00
11
11
10
10
00
00
00
11
01
00
11
10
11
10
00
10
00
00
11
00
00
00
11
10
11
00
00
10
10
00
10
00
00
00
10
10
00
00
10
00
10
10
01
10
10
01
11
00
11
11
00
00
00
10
10
00
10
00
01
00
10
00
11
01
00
10
11
10
00
11
00
01
00
00
10
10
10
11
10
00
00
10
10
00
00
10
10
11
01
10
00
01
00
11
00
00
00
10
10
10
00
01
10
11
00
10
11
00
00
10
10
00
00
10
11
00
00
00
00
00
10
10
00
10
00
01
00
00
01
11
11
11
10
01
10
10
00
00
10
10
01
00
01
01
01
10
10
11
10
01
01
01
10
11
00
10
00
00
10
10
01
00
10
10
10
10
00
11
10
10
10
11
00
01
00
01
00
00
01
11
00
01
01
10
10
00
00
00
10
11
00
10
10
00
01
10
11
00
01
10
11
00
00
01
10
01
01
00
11
11
00
00
11
10
01
10
10
00
01
00
10
10
10
00
00
10
01
00
10
11
10
00
00
10
00
10
01
01
10
10
10
00
10
10
00
00
00
10
01
10
10
00
10
11
10
11
00
01
00
10
10
10
01
00
11
11
11
00
10
00
00
10
10
11
00
01
11
00
11
10
01
00
11
10
01
10
00
01
10
10
10
10
00
11
11
11
00
00
00
00
00
10
10
01
10
01
10
10
01
10
10
00
10
00
10
10
00
11
11
11
10
10
11
10
11
00
00
10
11
10
11
11
01
10
11
00
01
00
00
01
11
00
10
11
00
00
00
11
01
00
00
10
00
10
11
01
10
11
11
00
11
11
00
00
00
11
10
00
00
00
10
11
01
00
00
10
00
10
00
10
10
01
01
10
10
11
11
01
00
10
00
01
10
11
10
01
00
01
10
00
01
11
00
10
10
01
11
00
01
00
10
10
00
00
10
00
10
10
00
11
00
11
00
01
10
10
00
01
11
11
00
10
10
00
10
00
00
00
10
10
10
01
10
10
10
00
10
10
01
00
01
00
10
00
11
00
00
00
00
01
11
00
11
10
00
00
00
00
01
11
10
01
01
00
00
00
00
11
00
10
01
00
10
10
00
00
00
00
10
00
01
00
00
00
00
00
10
11
00
10
10
00
00
10
00
10
00
00
00
01
10
10
00
11
01
10
11
00
10
11
01
00
10
10
00
01
11
00
10
11
00
10
10
00
10
10
10
11
00
01
00
11
10
00
10
11
01
00
00
10
11
00
10
10
00
00
00
10
10
11
10
00
00
00
10
00
11
11
01
10
11
11
10
10
10
00
00
10
11
01
01
00
10
00
10
10
10
10
00
01
11
01
01
10
10
01
10
00
00
10
10
10
00
10
10
00
00
10
00
10
11
00
01
10
01
00
10
10
11
11
10
01
01
01
00
01
10
01
11
10
11
00
01
00
10
11
01
01
10
10
00
00
00
10
10
10
00
01
10
10
00
10
10
00
01
00
10
11
10
10
00
00
00
00
00
00
10
11
00
11
10
00
01
00
01
01
00
10
00
10
00
10
11
01
00
11
10
00
10
10
00
01
10
11
01
00
11
00
00
00
01
10
11
10
01
00
00
01
11
11
10
00
00
00
01
10
00
10
10
00
00
01
11
00
10
00
01
10
00
01
00
10
01
10
01
01
00
11
10
10
10
01
00
00
10
11
00
10
01
10
01
10
10
00
10
01
01
10
10
01
01
01
00
11
10
01
00
00
00
10
01
10
10
01
00
00
10
00
10
10
01
10
10
11
01
00
00
10
00
10
00
00
11
00
10
00
10
10
00
00
10
00
00
00
10
00
10
11
00
10
11
00
01
10
01
11
10
00
00
10
11
00
10
00
01
00
00
10
00
10
10
10
00
00
10
11
01
00
10
10
10
11
11
11
00
10
10
11
11
10
10
00
00
11
01
01
01
11
11
00
10
11
11
00
00
11
11
10
01
11
11
10
11
00
01
11
10
11
00
01
11
00
00
10
01
00
10
00
10
00
10
10
01
11
01
10
01
10
01
00
00
00
00
00
10
00
01
00
00
00
10
11
01
01
10
10
00
10
01
10
10
00
00
00
01
11
01
11
01
11
01
01
11
10
10
10
00
00
10
10
00
11
11
00
00
10
10
11
01
01
00
01
01
10
10
01
01
10
01
00
11
11
11
10
00
00
10
00
00
10
11
10
01
00
10
01
10
01
01
11
00
10
00
00
10
11
01
11
10
01
10
01
00
00
01
10
10
10
11
00
10
10
01
01
01
10
11
00
00
11
00
00
00
10
10
11
11
00
00
10
11
10
11
00
10
10
00
00
01
00
10
10
11
00
01
00
10
11
11
01
01
11
10
00
00
00
01
10
10
10
01
01
10
10
10
00
00
10
00
01
10
11
10
11
00
00
00
11
00
01
11
11
01
01
11
01
10
10
00
11
00
00
10
11
00
01
01
00
10
00
01
10
10
00
00
11
11
00
11
00
10
10
10
01
00
01
10
01
10
00
00
11
00
00
10
10
10
10
01
00
00
01
01
10
10
00
00
00
11
10
11
10
00
00
00
10
01
00
10
11
00
11
10
10
10
10
11
00
00
10
01
10
10
10
10
11
01
01
00
00
10
10
00
01
11
00
10
10
00
11
11
01
11
10
00
10
01
00
11
11
10
10
00
00
10
11
00
01
11
00
10
01
00
11
10
00
11
01
00
00
00
11
11
01
00
01
11
10
01
00
10
10
00
11
00
10
10
00
01
01
11
10
10
11
01
10
01
10
10
00
10
00
00
10
10
10
00
11
10
00
00
10
10
00
10
10
10
10
00
00
10
10
10
00
00
00
11
00
01
01
01
00
10
00
10
00
11
10
01
10
11
10
10
01
11
10
00
01
10
00
00
00
00
10
10
01
10
10
00
00
01
00
00
11
10
11
01
01
11
10
00
00
00
01
10
10
00
00
10
10
00
00
01
00
01
01
00
00
10
11
10
01
01
00
10
10
01
11
00
01
11
11
10
11
10
00
11
11
01
00
11
10
00
00
01
11
11
10
11
11
01
10
11
00
01
10
11
00
00
10
01
10
11
00
00
00
10
00
10
10
00
10
10
00
10
01
11
10
00
10
00
10
10
11
10
10
01
11
00
11
11
00
00
00
00
10
10
11
00
10
11
01
00
10
00
00
11
10
10
01
10
11
00
00
00
10
00
10
11
01
11
00
10
00
00
01
00
11
11
00
00
01
11
10
00
00
10
00
00
10
11
10
00
00
10
10
11
01
01
10
00
10
01
11
00
10
11
00
00
10
10
10
00
10
11
10
00
10
01
00
11
01
00
10
10
10
00
00
10
10
00
00
01
11
10
00
01
10
00
00
11
11
10
01
10
01
10
11
11
00
00
10
11
01
00
10
01
10
01
10
00
00
11
00
10
00
00
00
00
10
10
00
01
11
01
01
10
01
11
11
00
01
10
11
01
11
10
10
10
01
11
11
10
01
01
00
00
10
01
10
01
00
00
10
11
00
00
00
11
00
10
11
00
00
10
00
10
10
10
00
11
10
00
00
01
10
00
00
10
10
01
11
11
00
00
00
01
00
00
00
10
10
00
10
01
10
10
00
00
00
10
00
10
00
00
01
01
10
10
00
00
10
10
01
00
11
01
10
11
10
01
00
01
10
10
00
00
00
10
10
00
00
11
00
01
11
01
10
10
01
11
11
00
00
00
01
10
10
11
00
01
10
00
00
00
10
00
10
11
00
00
00
10
00
00
01
01
00
00
10
10
00
00
10
10
11
01
00
01
11
10
00
00
10
10
00
01
01
10
10
00
00
00
10
11
00
10
10
00
00
10
00
01
10
00
11
01
00
10
00
00
10
10
00
00
01
00
10
11
11
00
00
10
10
01
01
00
11
10
11
00
01
11
10
10
00
11
11
10
10
10
10
00
00
11
10
10
00
10
10
10
01
00
10
11
10
10
10
00
01
01
11
11
11
10
00
10
01
00
10
11
00
01
10
11
00
11
01
11
10
10
10
10
10
00
10
11
00
01
11
00
01
00
11
00
00
10
10
10
01
10
01
10
10
11
00
11
10
01
00
00
00
10
00
00
11
10
01
10
01
01
11
01
01
10
10
11
01
00
00
11
10
01
01
00
10
00
00
11
00
10
11
00
11
00
00
10
10
10
00
00
01
10
00
01
00
00
00
10
11
01
00
10
10
11
00
11
10
10
11
11
10
10
00
00
00
10
00
10
10
11
10
00
01
01
01
11
10
10
10
11
00
00
11
11
00
00
10
10
00
01
00
10
10
10
11
01
10
10
11
01
10
10
00
00
10
00
10
01
10
00
01
10
01
00
01
10
00
00
10
10
00
00
00
01
11
00
10
11
01
11
00
10
10
00
10
00
00
10
00
10
00
00
10
10
11
00
11
10
11
11
00
10
00
01
11
00
00
10
10
00
10
00
10
11
00
10
01
11
11
00
01
10
11
00
00
11
10
00
00
01
11
11
01
01
00
10
10
10
00
01
10
10
01
10
10
00
10
00
10
10
10
00
10
11
01
00
01
00
10
11
10
11
00
11
00
11
10
01
10
00
10
10
00
01
10
11
00
00
11
11
11
00
01
01
11
11
00
10
10
11
00
11
11
00
00
11
01
10
01
00
01
11
10
01
00
10
11
00
10
00
01
10
00
01
00
10
00
01
11
00
01
01
10
01
10
00
10
11
00
10
00
00
10
11
11
00
00
10
10
01
00
10
10
00
11
01
11
10
01
11
10
01
00
00
10
10
00
00
11
11
11
01
01
00
01
00
10
00
00
10
10
10
01
01
10
00
01
10
10
10
11
01
10
00
00
10
11
10
00
00
10
10
00
10
00
00
00
00
00
10
10
00
01
00
01
00
00
00
10
11
10
10
01
01
00
01
00
00
10
01
10
10
00
00
11
10
00
00
11
10
00
01
10
10
00
00
00
00
10
10
10
01
00
00
01
10
00
10
10
00
00
00
11
00
00
11
11
01
10
00
01
10
10
00
11
11
00
10
11
00
01
00
10
01
00
11
00
01
10
10
00
01
00
11
10
01
00
01
10
10
00
00
00
00
00
11
10
01
10
00
10
01
10
01
00
10
10
11
01
10
10
00
00
10
11
10
10
00
01
10
11
10
00
00
01
00
11
11
00
10
11
00
10
10
10
10
01
00
10
00
00
00
11
01
00
10
10
10
00
01
01
00
10
01
11
01
11
00
01
01
10
00
00
10
10
00
10
00
10
00
01
10
00
10
01
00
11
10
00
00
10
10
00
01
10
01
00
10
11
10
00
10
00
01
10
10
01
00
10
00
10
10
00
10
10
11
10
01
00
01
01
00
00
10
10
00
00
11
10
01
00
00
00
01
00
10
01
01
11
11
01
11
01
10
01
11
00
00
10
10
00
00
10
00
00
00
11
01
01
00
11
11
00
01
11
10
00
01
10
00
00
10
10
01
01
10
10
10
10
00
00
10
10
00
00
10
00
00
10
10
01
00
01
00
00
00
10
11
11
01
00
11
00
10
10
11
10
00
01
01
00
11
11
10
10
00
00
10
10
00
10
11
01
10
11
10
00
00
10
10
00
11
11
10
01
11
00
01
10
01
11
11
00
10
10
01
00
10
10
01
00
10
00
01
10
00
00
01
00
11
00
00
01
11
00
10
00
10
11
11
01
10
11
10
00
10
10
00
00
00
11
10
00
10
11
00
11
10
11
11
00
10
00
01
11
10
01
01
10
11
00
01
10
10
00
10
00
00
00
00
10
10
00
11
00
11
10
11
00
10
11
11
01
00
01
01
11
11
00
10
00
00
10
01
01
10
11
11
01
00
10
00
11
10
00
10
10
10
10
00
00
11
10
10
11
10
10
01
01
10
11
01
10
00
10
01
11
10
01
00
00
10
00
00
01
00
10
11
00
10
10
00
00
00
00
10
00
00
10
10
00
00
10
00
01
10
10
10
11
10
11
01
00
11
10
01
10
00
00
10
10
00
00
10
01
10
10
00
00
10
00
10
00
01
11
00
00
00
10
11
11
01
11
00
00
10
01
00
01
10
01
01
01
10
10
11
01
01
00
10
10
00
00
11
10
00
01
11
11
10
10
00
11
00
00
00
10
01
01
00
00
10
11
01
01
01
10
10
00
00
10
00
00
10
00
00
10
00
01
10
00
00
00
10
00
01
01
11
00
01
01
00
00
10
10
00
11
10
00
10
11
10
00
10
00
10
01
10
10
01
00
00
00
00
10
10
10
11
01
00
01
00
10
11
11
00
00
10
10
01
10
10
01
00
11
11
10
00
10
00
10
00
00
11
11
11
00
00
01
11
01
10
00
00
11
00
11
11
00
00
10
11
00
01
10
00
00
01
10
11
01
01
11
00
00
10
10
00
10
00
00
11
11
10
00
01
10
11
00
10
10
10
00
00
01
10
10
00
00
01
10
11
00
10
10
10
10
01
10
11
00
10
10
11
10
01
10
11
10
01
00
11
00
01
00
11
10
00
10
00
01
01
00
01
00
11
10
00
00
11
10
10
00
00
00
10
10
01
01
11
10
11
11
01
10
11
01
00
10
11
10
10
00
00
10
10
10
00
01
11
10
01
11
10
01
01
01
10
11
00
00
10
10
00
01
00
11
10
00
01
00
00
00
11
10
10
11
00
10
10
10
10
10
10
10
00
10
00
01
10
00
01
00
00
00
10
10
00
00
00
10
10
11
00
01
11
00
10
00
00
11
11
01
10
10
01
01
11
10
11
00
00
10
00
01
11
10
00
00
01
00
00
11
11
00
11
11
01
11
00
01
10
00
00
10
10
00
11
11
01
10
11
00
10
10
01
10
10
00
00
00
01
00
10
10
00
10
11
11
01
10
00
01
00
11
11
00
00
10
10
10
10
01
10
10
01
11
10
10
10
00
00
10
10
10
00
01
10
10
00
10
11
01
00
11
00
00
00
01
11
11
01
10
10
10
10
01
01
10
10
11
11
00
10
10
01
00
10
11
00
10
10
00
11
00
10
10
00
10
01
01
00
01
10
00
01
01
00
10
00
00
10
10
00
10
10
01
10
11
10
00
11
10
10
10
10
01
00
11
10
10
01
00
10
11
00
00
00
00
00
00
01
10
00
11
10
00
01
11
01
01
01
00
01
11
10
10
01
10
01
00
11
10
10
10
00
01
11
01
00
00
00
10
10
01
10
11
00
01
11
00
10
11
00
00
10
10
00
00
10
10
10
00
10
00
00
11
00
01
11
00
00
10
10
00
10
10
00
00
00
10
00
10
10
00
00
11
11
11
11
10
11
10
00
00
01
00
10
00
00
01
00
01
10
10
11
00
01
10
00
00
11
10
10
10
01
00
00
10
00
11
10
01
10
11
10
00
01
11
00
00
11
10
00
01
00
10
10
00
10
00
01
10
10
10
10
10
01
01
01
00
01
10
10
01
10
11
10
10
00
00
11
00
10
10
00
01
00
10
10
10
01
01
10
11
00
00
10
01
10
11
01
00
11
00
11
00
00
10
10
10
00
00
01
11
00
10
11
01
01
10
11
00
11
10
00
01
10
10
00
11
11
00
10
00
10
11
00
10
00
00
10
00
01
10
00
01
00
10
00
01
00
00
10
01
11
00
00
10
00
01
10
10
01
00
11
01
10
10
00
01
00
10
00
01
00
10
10
10
00
10
00
11
10
00
00
00
10
01
00
10
00
01
00
01
10
10
10
10
00
00
00
01
11
10
00
00
00
00
11
01
10
11
00
01
11
01
01
11
10
10
10
01
10
10
01
01
00
01
10
00
00
10
10
11
00
00
11
10
01
11
01
11
00
11
11
00
01
11
10
00
01
10
10
01
01
00
01
10
10
00
00
10
00
10
11
11
00
01
10
00
01
10
00
00
00
11
01
10
01
11
11
10
10
11
10
00
00
01
01
10
00
00
01
00
00
00
10
10
10
10
01
00
11
00
00
01
01
10
00
11
11
01
00
01
00
11
00
00
10
10
01
00
10
11
00
00
11
00
10
11
00
00
10
10
01
00
10
00
00
11
10
10
00
01
10
00
10
10
00
00
01
01
01
10
00
01
10
00
00
10
11
10
00
00
11
10
00
11
00
10
11
10
10
10
01
00
00
00
00
11
01
10
10
10
11
10
01
01
10
11
01
10
10
01
00
00
10
10
00
01
11
10
10
11
10
00
01
00
10
10
10
11
10
10
11
10
00
10
00
00
00
11
11
10
10
00
00
11
10
01
11
10
01
01
00
01
10
11
00
11
00
10
10
00
11
10
11
00
00
10
01
00
01
10
10
10
00
10
11
00
00
10
01
11
10
01
00
10
01
10
11
01
10
10
00
00
11
00
00
11
11
01
10
11
00
10
10
00
00
11
00
11
01
11
10
00
00
00
00
00
10
10
01
11
11
11
10
01
11
11
10
10
00
00
10
11
00
01
10
11
00
00
10
00
11
10
00
10
01
00
10
11
10
01
00
01
01
00
10
00
00
11
00
00
11
10
11
10
10
00
11
10
01
10
10
11
11
10
00
10
10
00
01
00
00
10
11
01
01
10
10
10
10
10
00
11
00
11
10
01
10
11
10
01
10
01
10
10
01
00
11
10
10
01
00
01
10
00
01
00
00
11
10
00
10
10
01
11
10
10
00
00
00
10
10
10
00
00
00
10
00
10
00
10
10
01
00
00
10
11
00
11
11
10
00
00
00
00
10
10
00
00
10
10
10
10
10
10
01
10
11
10
01
01
01
11
00
01
00
00
00
11
10
00
11
10
10
11
01
10
11
11
10
10
00
00
00
11
11
00
10
10
00
01
01
11
10
11
10
10
01
00
11
10
11
00
10
00
00
00
10
10
10
01
00
00
00
10
01
10
10
00
00
00
10
00
01
11
10
00
00
00
11
11
00
10
00
00
11
11
01
11
01
00
10
10
00
00
10
11
00
00
00
11
00
10
10
00
01
10
10
10
01
00
00
00
10
11
10
10
00
00
10
10
10
00
00
01
10
10
01
00
11
01
01
11
10
10
00
10
10
00
00
10
10
00
10
10
00
10
01
01
00
10
00
10
00
10
10
01
10
01
00
00
10
00
01
11
00
10
10
00
01
01
01
10
10
00
10
10
10
11
00
00
00
01
10
00
10
01
00
00
00
10
10
00
00
10
10
01
10
00
10
00
00
00
10
01
00
11
01
10
00
00
01
00
10
10
10
00
01
11
00
10
10
10
00
00
00
11
10
10
10
10
00
01
10
10
00
00
00
00
10
01
01
11
10
11
11
11
11
01
00
10
00
01
00
11
10
00
10
10
00
00
10
10
11
10
11
11
00
00
01
00
10
10
10
01
10
10
01
11
10
11
11
11
10
00
00
00
10
01
01
10
01
11
11
10
10
10
01
10
10
00
00
10
11
11
11
00
01
11
10
00
00
10
00
11
10
01
00
11
00
01
11
10
01
10
00
10
11
00
01
10
11
10
00
01
00
10
00
00
00
00
00
10
10
00
10
10
10
01
01
10
00
01
00
10
10
01
10
01
00
10
10
11
00
01
01
11
01
10
00
10
10
01
00
11
10
00
11
11
00
00
10
10
00
10
10
00
00
00
11
00
11
01
11
10
00
00
10
11
00
11
10
11
00
01
00
11
00
01
10
11
01
00
10
00
11
00
01
10
10
00
01
11
01
01
10
01
00
10
00
10
11
00
00
10
10
00
10
00
10
00
01
00
11
00
00
00
10
00
00
11
10
10
10
00
00
00
11
11
10
00
11
01
00
01
10
10
10
00
00
10
10
01
01
00
01
10
11
00
00
00
00
10
11
10
10
10
00
11
10
01
10
00
10
10
10
00
10
11
11
00
11
10
01
00
00
01
10
11
10
00
01
10
00
00
11
00
10
00
10
00
10
01
00
10
10
01
10
11
01
10
11
11
01
00
10
10
00
00
11
10
01
10
10
00
10
10
00
01
00
01
10
00
11
11
11
10
00
00
11
00
10
01
00
10
10
00
01
10
11
01
10
10
10
01
10
00
10
00
00
10
11
00
10
11
00
00
10
11
01
10
00
00
11
10
00
01
00
10
00
00
11
10
00
00
11
10
01
01
10
11
01
00
10
11
00
00
10
00
01
01
01
11
11
01
00
01
11
10
00
00
11
11
00
10
00
10
11
11
10
01
01
10
01
00
10
01
00
10
11
11
00
10
10
01
10
01
00
11
10
01
10
00
10
01
10
10
00
01
00
01
11
00
00
00
10
10
00
00
10
00
00
10
00
11
01
00
10
11
01
01
00
01
10
10
00
10
00
01
10
10
10
01
00
00
10
10
00
10
10
10
01
10
10
00
00
10
11
01
11
00
11
10
00
01
00
11
10
01
01
00
00
10
10
00
10
11
10
00
01
00
11
00
10
10
10
10
00
00
10
11
11
10
00
10
10
10
00
01
10
10
10
00
01
11
00
00
01
01
10
11
00
11
11
00
11
00
01
11
00
11
10
10
01
00
10
10
00
01
10
10
11
01
01
01
10
10
00
11
11
10
01
00
10
00
00
10
00
00
10
00
10
11
11
11
00
10
11
01
01
01
10
10
00
10
00
00
10
10
01
11
10
10
00
01
11
00
11
10
00
01
00
01
01
10
10
00
10
10
10
11
00
01
00
00
10
10
01
11
11
00
01
00
10
01
10
10
11
00
00
00
00
00
00
10
10
01
11
10
10
10
11
10
01
01
00
00
10
10
10
10
00
10
01
00
01
00
00
00
01
00
10
01
00
10
01
00
10
00
00
00
10
11
10
00
00
10
00
10
00
00
00
00
10
11
00
11
10
01
10
10
00
00
00
10
01
10
10
00
00
10
00
00
00
00
10
00
10
11
00
01
00
01
00
10
10
10
10
00
01
10
00
10
10
00
00
00
01
01
00
11
01
10
11
00
10
10
11
01
00
10
10
10
00
10
01
01
00
00
00
10
00
10
10
10
00
10
11
00
10
10
01
10
00
00
11
11
11
00
00
10
10
00
00
00
00
11
10
10
00
10
10
00
10
00
10
01
01
10
10
00
10
10
01
11
10
10
00
00
10
00
10
00
01
10
10
00
10
00
11
11
00
10
01
01
11
00
11
00
00
11
00
01
10
11
00
11
10
10
00
10
01
11
10
01
00
10
11
10
00
01
10
10
10
10
10
10
01
01
00
00
10
00
01
10
11
10
01
11
01
11
10
00
00
11
10
01
00
10
10
10
10
11
11
01
10
00
00
10
00
10
00
01
00
11
00
11
00
01
10
11
00
01
10
01
10
11
10
11
00
01
11
10
10
10
01
00
01
10
10
00
00
00
00
10
10
01
10
11
01
11
10
10
00
01
11
11
10
01
00
00
00
00
11
10
00
10
00
10
10
10
00
00
01
10
10
01
01
10
00
11
10
10
10
10
00
10
10
00
11
10
11
01
00
11
00
11
11
10
00
10
10
00
01
00
00
01
11
00
00
00
00
00
10
00
10
00
01
00
10
10
01
01
01
10
10
01
01
11
01
00
11
11
11
00
01
11
00
11
00
01
10
10
00
01
00
00
10
01
01
11
10
11
10
10
01
11
00
00
00
10
11
00
01
10
10
11
00
11
00
01
10
01
00
11
11
10
10
00
10
10
01
00
01
00
00
10
00
00
00
11
10
10
00
00
11
10
10
00
11
10
01
00
10
11
10
11
00
01
01
11
00
00
00
10
00
11
00
00
10
11
10
00
01
00
01
10
10
11
10
10
00
10
10
10
11
11
01
11
00
10
10
10
11
10
01
10
00
10
10
11
10
10
00
00
10
11
00
01
11
00
10
10
10
01
10
10
00
00
10
00
00
00
10
11
10
10
00
00
11
00
00
10
00
10
00
01
10
11
00
01
01
01
11
00
11
10
00
00
01
00
01
11
11
00
01
00
00
00
11
10
00
01
10
00
11
10
01
00
00
10
00
01
00
10
10
10
00
00
10
00
10
10
11
11
11
10
00
00
11
01
10
10
00
10
00
10
10
11
00
01
10
10
01
00
11
10
10
01
01
01
01
11
11
11
00
00
10
11
01
11
01
10
11
01
01
00
00
01
11
10
00
10
10
10
10
00
10
10
00
00
01
11
10
10
10
00
00
10
00
00
10
11
10
01
10
11
11
00
10
10
10
10
00
00
11
00
11
00
00
00
00
10
10
10
00
01
10
10
01
01
00
11
00
00
11
00
10
01
00
10
00
00
01
11
11
10
01
10
10
10
00
00
10
11
10
10
00
01
00
10
10
00
00
00
00
10
00
00
11
11
10
10
11
01
11
10
01
11
10
10
00
01
10
10
00
00
10
11
00
00
11
11
10
10
00
11
10
11
00
01
11
01
10
11
10
00
10
10
00
01
10
11
10
00
10
00
01
01
10
10
01
00
10
10
11
10
10
00
01
10
00
10
01
00
10
00
10
10
01
01
11
00
11
11
10
01
00
00
00
00
10
00
10
10
00
10
11
00
01
01
01
10
11
10
00
10
11
00
00
11
10
10
01
11
00
10
10
00
01
10
10
00
11
11
01
00
10
00
10
01
10
00
00
11
11
01
01
00
10
11
00
10
11
00
01
11
11
10
10
01
00
00
00
01
11
10
10
10
10
00
00
01
10
10
01
11
00
10
01
00
00
01
00
00
11
10
11
10
11
00
01
10
00
10
10
00
10
00
01
10
10
00
11
10
00
11
11
10
11
11
00
10
10
11
11
00
11
00
01
10
10
00
00
10
11
00
00
00
00
00
10
10
10
10
00
00
11
00
00
01
10
11
01
00
00
00
11
11
01
01
11
10
11
01
10
11
00
00
10
10
01
10
11
10
11
11
00
10
01
00
10
10
01
01
11
10
01
00
10
11
00
10
10
00
00
00
00
10
10
00
00
01
00
10
10
00
11
01
01
10
01
11
11
01
01
00
11
01
11
00
01
10
10
10
11
00
00
10
10
11
00
10
10
01
01
10
11
11
11
00
10
01
00
10
11
10
01
01
01
00
10
10
10
10
00
10
10
00
00
10
10
10
01
10
10
10
00
10
10
11
10
00
00
00
10
01
10
11
10
00
01
00
10
00
10
10
01
00
00
11
01
01
01
00
11
00
01
10
10
11
00
10
01
00
10
01
00
10
00
00
00
10
11
00
00
10
00
00
00
00
00
11
11
10
10
00
11
01
00
00
11
10
11
11
01
00
00
11
01
00
11
10
10
00
10
01
10
11
00
10
11
00
00
10
10
01
10
11
10
00
10
00
00
01
10
10
01
11
10
01
10
10
00
00
10
00
00
10
11
01
01
00
10
11
01
00
10
10
00
11
11
01
10
11
11
00
01
11
11
00
00
10
01
00
01
00
11
01
10
00
00
10
00
10
11
00
00
10
10
11
10
00
10
00
10
00
10
10
00
00
00
00
11
00
11
01
11
11
11
00
01
10
11
00
00
11
01
10
11
10
00
10
10
01
00
10
10
00
00
00
00
00
11
10
01
10
00
01
01
10
10
10
00
00
01
10
10
00
00
00
00
01
11
10
11
11
01
10
00
00
00
00
11
11
00
00
11
10
11
11
00
11
01
00
00
10
10
10
00
01
00
01
11
10
10
11
10
01
01
00
10
10
00
00
00
00
10
11
10
10
10
00
10
01
00
00
11
10
01
10
00
10
11
11
01
01
00
01
00
10
00
11
10
11
10
00
10
11
11
01
10
11
10
00
00
10
11
11
01
00
00
00
01
10
00
10
10
00
11
00
00
00
11
10
01
01
00
10
10
11
00
10
10
10
01
10
00
00
00
00
00
01
10
10
10
00
11
00
01
10
10
01
00
01
10
00
11
00
10
11
00
00
10
00
00
00
01
11
01
01
00
11
00
00
11
10
00
00
00
10
10
00
00
11
10
11
00
00
10
11
00
10
10
01
11
00
00
00
00
10
10
10
10
00
01
00
00
00
10
00
01
00
10
01
01
10
00
01
10
00
10
00
10
10
00
10
00
01
01
10
11
00
00
00
10
00
00
00
10
00
00
10
10
11
00
11
10
10
00
00
00
10
10
11
11
10
01
01
00
00
01
00
11
10
00
01
10
00
10
00
00
00
11
10
00
10
00
10
10
10
10
11
10
00
00
10
00
00
10
11
11
00
01
11
10
10
00
10
00
00
10
10
00
11
10
11
01
00
11
00
00
01
01
10
11
11
00
01
11
00
00
01
11
11
01
00
10
00
10
11
11
01
00
11
10
11
10
11
10
00
10
10
10
01
00
11
00
01
01
01
11
10
10
00
11
11
10
00
01
00
00
10
11
01
11
00
01
10
00
10
00
10
11
01
00
10
00
00
01
00
10
11
00
10
00
10
10
10
11
00
00
10
00
00
10
01
01
01
11
10
00
10
10
00
00
10
10
00
01
01
11
00
10
10
10
00
01
00
10
10
10
00
00
10
10
11
10
10
00
11
10
01
10
00
01
10
11
01
00
11
01
11
01
10
01
01
10
10
11
00
00
10
10
00
01
00
00
10
01
11
11
10
00
10
10
01
10
11
10
11
10
10
10
11
10
00
10
00
00
10
10
00
10
11
00
01
00
00
00
11
10
10
10
00
00
10
10
10
11
00
00
00
00
10
01
10
11
00
00
01
01
01
00
00
00
11
00
10
10
01
10
10
10
10
00
00
10
01
00
10
00
00
01
00
00
01
10
10
00
00
01
11
00
00
10
11
11
01
10
00
10
00
01
11
11
00
00
00
10
10
01
10
11
01
11
11
00
00
10
10
11
00
10
11
00
10
10
00
00
11
10
10
01
10
00
00
00
10
10
00
00
00
01
00
10
10
00
10
10
00
01
11
00
10
10
00
10
11
10
00
00
00
11
10
00
11
10
10
11
10
01
00
00
01
00
10
00
00
10
10
10
10
00
10
01
00
01
10
00
00
01
00
10
00
01
10
10
01
10
00
00
01
00
00
00
10
01
00
00
10
10
10
11
11
01
10
00
10
11
00
00
00
10
10
01
11
01
01
00
01
11
01
00
01
10
10
00
00
10
11
01
01
10
00
10
10
00
10
00
00
10
01
11
11
10
11
10
01
10
11
10
11
01
01
11
10
10
00
00
10
01
01
10
10
00
00
00
10
10
11
10
01
00
00
00
01
10
10
10
00
10
11
11
10
00
00
00
00
00
01
11
11
00
10
01
10
10
00
11
10
01
11
11
10
11
00
00
10
10
10
10
01
00
00
01
11
10
01
10
11
10
10
00
00
00
10
10
00
00
10
00
00
00
11
10
11
01
10
00
00
11
10
00
00
10
10
00
10
10
00
00
10
01
10
00
00
00
00
00
10
10
10
10
00
10
10
11
10
00
01
11
11
11
10
00
00
11
10
01
01
11
10
10
10
00
00
11
10
00
11
10
01
00
01
10
01
01
11
10
00
00
10
00
01
00
10
10
11
01
11
01
01
10
01
00
11
00
00
10
10
01
00
00
10
11
00
10
00
10
00
01
00
10
10
10
00
00
00
00
10
00
10
10
10
11
01
00
00
11
00
10
11
00
01
11
11
10
10
00
00
10
00
01
10
11
10
00
01
10
00
01
10
10
00
01
00
10
00
10
01
10
11
10
01
00
10
11
10
11
01
11
10
01
10
00
10
10
00
10
10
01
00
10
01
01
11
10
10
01
10
00
00
10
11
00
10
10
11
10
10
00
00
00
11
01
00
00
10
10
00
11
01
11
11
00
10
00
00
10
00
01
10
00
00
10
10
00
11
11
00
11
10
00
00
11
11
10
11
01
00
11
10
00
00
10
01
00
11
10
00
00
00
10
11
10
00
10
00
10
00
10
01
10
10
01
00
00
00
01
10
10
00
10
01
10
11
01
01
11
10
00
00
10
10
01
11
00
01
00
10
10
10
00
00
00
10
10
01
00
00
00
10
11
11
00
01
11
00
00
10
01
00
11
00
00
10
00
00
11
10
00
00
01
10
00
01
10
10
10
10
00
00
01
00
10
10
10
01
00
00
01
00
11
00
10
10
10
10
01
11
00
00
00
00
01
01
11
11
10
10
00
10
11
00
10
11
00
00
10
11
01
01
10
10
00
01
11
10
00
00
10
10
11
00
10
00
00
01
01
10
11
10
00
00
00
10
01
00
11
10
10
10
10
10
00
01
10
11
00
10
10
10
01
11
10
00
00
00
10
00
10
10
00
00
10
00
00
00
01
10
01
10
11
11
11
00
11
10
00
11
00
11
10
00
01
00
11
00
00
10
00
00
11
00
01
00
10
10
10
10
10
00
00
00
10
11
10
10
10
01
11
10
00
10
00
11
01
01
00
00
00
11
01
10
11
10
00
10
00
11
10
10
00
10
00
10
00
00
10
10
01
11
10
11
10
00
10
01
00
10
10
11
11
00
00
00
10
11
10
10
00
00
11
11
10
00
11
00
11
10
10
10
11
10
10
10
00
00
00
11
01
10
01
01
00
00
01
10
11
01
01
10
10
01
01
10
10
01
00
10
10
01
00
10
10
11
00
10
10
01
01
10
10
11
11
00
10
00
01
11
00
00
01
10
01
01
00
10
01
00
00
10
01
10
11
01
10
10
01
00
01
00
10
00
00
10
10
00
00
11
10
10
00
10
01
11
10
00
10
10
00
00
10
11
10
11
10
10
00
10
00
00
11
10
00
00
10
10
10
00
00
10
10
01
00
00
00
11
00
10
10
00
01
01
01
11
10
00
00
11
00
11
00
00
10
10
00
00
10
00
10
10
00
01
01
00
10
10
00
11
00
10
00
00
10
01
10
10
10
00
00
10
10
00
10
00
10
00
01
00
00
11
01
01
01
01
01
10
10
01
11
10
10
01
01
00
10
10
10
00
11
00
01
11
10
11
01
00
10
00
00
01
10
11
10
10
00
00
11
10
11
01
11
00
10
01
01
01
01
10
11
10
10
11
11
01
00
10
10
10
00
00
10
10
01
10
00
01
10
10
10
01
01
00
01
00
10
00
00
10
10
00
00
11
00
10
10
00
10
01
00
11
10
11
01
11
00
00
10
10
11
10
11
10
10
01
10
00
11
00
01
10
00
01
01
10
01
00
10
11
00
00
00
00
11
11
10
10
10
01
10
00
00
10
10
00
00
10
10
01
10
10
10
10
00
00
00
00
10
00
10
00
00
11
10
11
00
11
11
00
00
10
10
00
00
01
10
11
01
10
11
11
11
01
10
00
11
11
00
00
00
10
00
10
00
01
00
11
10
10
00
10
10
10
01
00
10
11
01
10
10
00
01
10
10
00
11
11
10
10
00
00
10
00
01
11
01
10
10
00
00
01
10
01
00
01
00
10
10
11
00
10
10
00
01
00
10
11
10
10
00
00
00
01
10
11
10
10
10
01
10
11
01
00
10
01
10
11
00
00
00
10
11
10
01
00
10
10
00
00
10
00
00
00
10
10
11
00
01
01
10
10
00
00
11
00
01
11
00
10
10
00
00
00
00
10
10
10
11
00
00
01
10
10
10
11
11
10
00
01
11
01
00
01
10
00
00
11
11
00
00
11
11
01
00
01
00
10
01
00
10
10
10
00
00
10
00
00
11
11
00
11
00
01
01
10
10
00
01
00
10
01
01
10
00
00
11
10
10
10
00
00
10
11
00
00
11
00
10
10
11
00
00
00
11
00
01
10
00
00
10
10
01
00
11
11
11
11
10
00
01
10
10
01
01
10
00
10
11
01
11
11
00
00
10
10
00
10
10
01
00
00
00
10
11
10
01
01
11
10
01
01
00
01
10
11
00
10
11
01
00
00
00
10
00
00
00
01
11
11
11
00
00
00
01
11
10
10
01
11
10
01
00
10
00
10
10
00
11
00
01
10
11
11
11
10
00
10
10
11
01
10
11
00
10
01
00
01
11
11
01
00
10
10
11
00
00
10
10
10
10
00
00
00
01
00
10
10
10
00
01
00
10
00
11
01
10
00
10
00
00
01
11
00
01
00
11
10
01
11
00
10
10
10
10
10
01
10
10
00
10
01
10
10
11
01
10
11
01
01
01
11
00
01
11
11
00
01
10
10
00
00
01
10
01
10
01
01
10
10
11
00
00
11
10
00
01
10
10
10
00
00
11
10
01
00
11
00
01
11
00
00
10
10
11
10
00
01
00
01
10
11
00
00
00
00
10
11
01
01
00
10
10
10
10
00
11
01
00
10
01
00
00
00
10
00
10
11
00
10
00
00
00
01
10
10
10
11
00
01
00
01
10
10
00
00
11
10
01
01
00
00
11
10
10
00
10
11
00
10
00
01
10
01
10
00
00
01
01
00
00
10
10
11
11
11
01
01
01
00
11
00
01
10
10
01
10
01
01
10
10
01
00
10
00
10
01
10
11
00
00
00
00
11
11
10
00
00
00
11
00
11
10
11
00
00
00
01
10
01
00
10
10
10
10
00
00
11
10
10
10
01
01
10
10
01
10
10
00
10
01
00
00
10
00
01
10
00
11
11
00
01
10
10
10
11
01
00
10
01
11
00
11
11
10
10
00
10
01
11
10
00
01
00
00
00
01
10
11
10
10
00
10
00
11
00
00
00
10
10
10
10
00
01
11
01
00
01
00
10
00
01
10
11
10
10
11
10
10
01
00
10
10
01
00
10
00
10
11
10
00
00
10
01
10
00
10
10
01
01
01
10
01
00
01
01
10
10
10
00
10
00
01
00
11
11
10
00
10
10
00
00
00
00
10
10
10
11
10
00
00
10
10
10
01
01
10
10
01
00
00
10
10
00
00
11
11
01
00
11
10
11
01
00
01
01
11
11
10
00
00
01
00
10
11
01
01
10
11
00
10
00
10
00
00
00
10
10
01
11
10
00
01
00
01
00
01
10
01
00
00
10
10
10
01
00
11
11
00
00
11
00
10
00
00
00
11
10
10
00
00
10
00
01
10
10
00
11
01
10
00
10
01
00
10
10
00
00
10
00
01
10
10
11
10
01
00
10
00
10
10
10
10
01
00
11
10
11
10
10
00
00
10
10
10
01
00
00
01
10
01
00
10
10
11
01
01
11
10
10
00
10
00
00
10
10
00
01
10
11
10
00
10
01
01
10
10
00
10
00
00
10
10
10
10
11
11
00
00
00
11
10
11
10
00
10
10
01
00
00
10
10
10
01
01
00
10
11
01
01
11
10
01
11
11
11
00
11
11
10
00
01
10
10
10
00
00
00
10
11
00
00
10
11
00
10
01
01
00
01
01
00
10
00
00
00
10
11
10
00
00
11
01
10
01
10
10
10
01
00
00
00
11
11
00
11
11
11
11
01
00
00
10
01
11
10
00
00
00
10
01
00
10
00
00
01
10
10
10
10
10
10
01
00
10
10
01
00
01
11
00
00
01
01
10
00
10
10
10
01
01
11
11
00
11
00
11
10
01
00
10
10
10
10
01
00
11
10
10
10
01
11
10
01
10
10
00
10
01
01
00
10
10
00
10
11
10
00
00
00
00
00
10
10
11
10
00
11
01
10
00
00
00
00
00
00
10
11
10
01
00
00
11
10
00
10
10
00
11
10
11
10
00
00
00
00
00
00
01
00
00
10
00
00
10
00
00
01
10
00
00
11
10
10
11
01
10
01
00
00
11
11
11
00
10
11
00
00
11
10
01
01
01
11
00
01
00
01
11
10
10
00
01
00
10
10
01
10
01
10
00
00
00
10
10
10
00
00
01
10
01
10
10
11
01
10
10
00
00
10
01
01
10
10
11
00
11
11
10
11
01
10
01
00
01
00
10
11
00
00
00
01
10
00
11
10
10
00
00
00
10
11
10
10
01
11
10
01
10
01
00
11
01
01
11
10
00
01
00
01
00
10
11
00
11
00
00
10
10
11
00
00
10
00
01
00
10
00
11
10
11
10
11
00
00
00
00
10
00
10
11
01
10
01
01
11
10
10
10
00
00
11
00
10
00
11
10
11
11
00
00
10
00
00
00
11
11
11
10
11
00
10
10
11
00
10
01
00
00
10
00
00
10
10
00
00
10
11
00
00
11
00
10
10
01
10
11
10
11
00
10
10
00
10
00
10
11
11
00
00
00
11
11
00
10
01
10
00
10
00
01
00
10
10
00
10
00
11
10
00
10
00
00
10
01
00
01
11
11
11
10
00
11
10
10
11
00
10
10
00
11
00
00
11
00
00
10
11
10
00
00
10
00
10
01
00
01
00
01
11
00
01
00
10
10
11
01
00
10
10
00
00
00
10
00
00
00
01
10
00
10
10
11
00
00
00
01
10
11
10
00
00
00
10
00
00
11
11
00
10
01
11
00
10
11
11
10
10
00
10
10
00
11
10
11
01
01
10
00
01
10
10
01
01
10
10
00
11
11
00
00
01
01
01
01
11
10
00
10
10
00
00
10
10
10
01
01
00
00
01
10
01
00
00
00
00
00
10
10
00
10
00
10
10
00
00
01
00
10
11
00
01
00
00
11
00
10
10
01
10
01
00
00
01
11
10
00
00
11
01
00
10
10
00
00
11
01
11
11
10
10
01
00
00
00
10
10
00
10
10
11
11
10
10
00
10
10
01
01
10
11
00
00
10
00
11
01
01
11
10
01
10
00
01
00
11
10
10
00
00
00
10
10
00
01
10
10
01
10
10
11
00
11
00
00
10
11
10
01
00
11
00
00
10
00
00
10
11
00
10
10
10
00
10
11
01
10
00
10
00
10
01
10
10
00
01
00
10
10
01
00
10
10
00
01
00
00
10
10
10
00
00
10
00
01
00
11
10
00
00
10
11
10
00
00
10
10
01
10
10
11
00
10
10
10
00
10
10
01
00
00
00
01
10
10
11
00
10
00
00
11
00
10
01
01
10
00
01
11
11
01
01
00
10
10
00
01
11
10
10
00
10
01
00
11
11
10
11
00
01
00
10
11
10
11
01
00
10
01
11
11
00
01
00
11
00
11
11
01
00
10
10
10
01
00
00
00
10
11
00
10
11
00
11
00
10
01
00
10
00
10
01
01
00
00
00
01
00
00
10
11
00
01
10
01
10
11
11
01
00
00
11
01
11
00
10
10
01
10
01
01
10
10
00
01
11
11
00
11
10
00
01
00
11
11
00
01
10
11
01
00
10
10
00
01
10
00
10
10
10
10
10
00
11
00
11
10
11
01
11
01
01
00
10
10
00
10
11
10
00
01
01
00
01
00
10
00
10
00
00
01
11
00
10
01
00
00
01
10
00
01
10
10
01
00
00
10
10
10
00
01
00
10
10
01
11
00
00
10
11
00
00
01
00
10
01
11
10
01
10
00
01
00
01
10
11
00
00
10
11
00
11
00
00
01
01
10
10
10
00
10
10
00
01
10
10
00
00
00
01
00
11
10
00
00
00
10
01
00
10
11
11
10
11
10
11
00
01
10
00
11
00
11
11
11
00
01
11
00
11
11
11
01
10
10
10
00
10
01
10
10
10
01
10
01
00
00
00
00
10
10
10
01
10
00
01
00
10
00
01
11
00
00
01
10
10
10
01
10
10
00
00
01
01
11
11
00
01
10
11
10
00
00
10
01
00
01
10
00
00
01
11
01
11
10
10
10
10
10
01
01
10
00
00
10
00
00
01
00
11
11
01
00
11
10
10
00
00
11
10
10
00
01
01
11
10
00
10
10
10
00
00
00
01
10
10
11
11
11
00
01
10
10
10
00
10
10
00
00
10
00
10
11
00
10
10
00
00
00
11
11
00
00
00
01
10
11
01
11
11
01
00
01
01
11
00
00
10
00
00
11
10
01
01
11
01
10
00
11
10
01
00
00
00
00
11
10
11
00
11
11
10
11
10
11
10
11
00
00
00
11
01
10
01
01
00
00
10
11
01
10
10
10
00
00
10
11
10
00
01
10
10
10
10
10
00
00
11
01
00
00
11
01
10
01
10
11
00
11
00
11
01
11
00
01
10
10
10
00
11
10
00
10
11
00
10
00
00
00
00
10
01
11
01
11
10
10
00
11
00
11
10
01
00
11
01
10
00
00
10
10
11
01
00
10
10
10
01
10
00
10
10
00
01
10
10
00
00
10
01
01
00
11
00
00
10
10
11
00
00
00
10
10
11
00
00
00
10
10
10
11
01
00
11
10
00
00
10
00
00
00
00
10
00
10
10
00
10
00
10
00
01
11
10
11
00
00
00
00
10
11
10
00
10
01
00
10
00
00
00
11
10
00
10
11
01
10
00
10
11
00
11
11
00
00
00
01
01
11
10
10
10
10
11
10
10
10
01
10
10
10
00
01
01
00
00
00
00
00
00
10
11
01
00
10
00
00
10
00
01
10
01
10
00
11
11
10
10
00
00
11
00
01
11
01
11
10
10
11
11
10
00
00
10
00
10
10
00
00
10
10
11
11
11
11
10
00
11
01
00
00
10
10
00
10
10
00
00
10
10
10
00
10
01
00
11
00
10
00
10
10
11
11
00
00
10
00
01
10
10
10
00
01
10
11
10
00
10
01
00
00
10
10
00
01
00
00
11
11
10
01
01
10
11
00
10
11
11
11
11
00
00
01
10
00
00
10
10
11
01
01
01
11
10
10
00
10
00
10
10
01
11
10
10
00
10
00
00
10
00
00
01
10
01
10
00
11
10
00
10
10
11
01
01
00
11
11
10
11
11
10
01
00
11
01
11
01
10
01
00
10
10
10
01
00
11
11
00
00
10
10
01
11
11
01
01
10
11
11
00
00
10
11
01
10
00
00
11
01
00
10
11
10
10
00
10
01
00
10
00
01
00
00
10
00
10
10
10
11
10
10
00
01
10
00
01
00
10
10
10
00
01
00
10
00
01
11
00
01
01
10
11
00
01
11
10
01
10
00
01
10
11
10
00
00
00
10
10
11
00
01
10
10
10
10
01
00
00
10
10
11
11
01
11
10
10
00
00
00
00
00
10
00
00
00
10
10
10
01
00
01
01
10
11
00
01
10
00
11
10
00
01
10
10
11
00
00
10
01
10
00
00
10
00
11
00
00
10
10
10
01
00
10
00
00
00
00
10
00
10
00
00
10
10
00
01
01
10
00
00
11
10
10
01
10
00
11
10
01
00
10
10
01
00
01
10
00
01
11
11
00
10
01
01
00
00
10
10
10
00
00
10
00
00
10
10
10
01
00
01
00
01
01
01
01
10
10
00
10
11
00
00
00
00
11
00
00
10
00
10
00
11
10
00
01
10
00
00
00
00
10
10
10
10
11
10
11
00
00
11
11
00
01
00
11
01
01
11
10
10
00
10
10
01
10
10
00
01
10
10
01
01
00
00
10
11
00
10
00
11
10
00
00
10
10
10
10
01
10
10
11
00
00
01
00
00
00
00
10
01
11
10
01
10
00
10
00
10
10
00
01
11
00
01
11
00
00
10
10
10
00
01
00
10
01
11
00
00
10
01
00
10
10
01
00
10
10
00
11
10
11
11
11
00
10
00
00
00
10
10
01
10
10
00
10
11
11
10
01
10
11
11
10
01
10
10
00
10
00
01
10
10
10
10
01
11
00
10
11
11
00
10
10
10
10
10
00
01
10
01
10
10
01
00
10
10
00
11
10
11
01
10
11
00
11
01
01
11
10
11
00
11
10
10
00
01
10
11
00
00
00
10
10
01
00
01
00
01
10
10
10
00
00
11
10
00
00
10
00
00
10
00
00
11
10
11
10
10
11
11
11
10
01
10
00
00
10
00
00
11
11
01
00
01
10
00
10
11
10
10
10
00
10
10
11
00
10
00
00
10
10
10
10
11
10
10
01
00
10
10
00
10
10
10
00
00
00
10
10
00
10
01
10
11
10
11
00
00
01
10
10
00
10
00
10
00
10
11
00
11
00
11
00
00
10
10
10
00
11
01
10
10
00
10
10
01
10
11
10
10
11
01
10
10
10
00
01
00
00
11
10
10
10
10
00
01
10
01
10
10
10
10
10
00
10
10
11
10
11
01
10
10
00
11
11
01
11
11
00
01
01
01
11
10
00
00
10
10
11
00
00
01
00
01
01
00
11
00
01
10
10
00
01
00
11
11
00
00
01
00
10
11
00
10
01
01
11
10
00
01
00
10
00
10
10
00
10
00
10
10
00
10
10
10
11
11
00
11
10
01
00
00
10
00
01
10
10
10
01
00
00
00
10
01
11
10
01
10
10
00
00
00
11
01
01
11
10
01
11
10
11
00
10
10
10
00
10
10
00
11
10
11
10
00
00
01
10
10
11
10
01
10
10
00
00
10
10
10
11
00
00
01
10
11
11
01
10
11
10
00
10
10
01
00
01
10
11
00
10
11
10
10
00
11
11
11
01
00
10
10
10
00
00
10
10
11
00
00
00
00
01
00
11
10
10
00
11
11
01
10
11
01
01
10
10
10
00
10
10
00
10
10
10
00
11
10
01
10
01
11
10
01
00
11
11
01
10
10
10
00
00
10
00
11
10
01
10
01
00
00
10
10
00
00
11
00
01
00
00
00
11
00
11
00
11
10
10
00
00
00
10
00
01
11
10
01
01
10
11
00
01
00
00
11
10
10
10
00
01
11
11
00
00
10
11
00
00
00
10
00
01
00
10
00
00
00
10
11
01
10
11
00
00
10
10
00
01
11
10
00
00
00
11
00
11
11
00
10
10
00
00
00
10
00
00
11
10
01
01
00
10
00
10
00
01
11
11
01
00
10
00
10
01
00
11
11
01
11
11
10
11
10
01
00
10
10
01
01
10
00
10
00
10
10
00
10
10
00
00
00
00
00
01
00
11
00
00
01
00
10
01
10
00
00
10
11
00
00
11
01
01
01
10
00
10
10
11
00
00
00
00
10
00
01
10
00
00
10
11
10
01
11
00
11
01
00
10
00
11
00
10
10
01
10
10
10
00
00
11
00
01
00
01
10
00
10
10
10
00
11
10
00
01
10
11
11
01
10
00
00
10
01
01
00
10
11
10
11
00
00
10
10
10
10
00
00
10
11
01
10
00
00
01
01
00
10
10
00
01
01
00
01
00
00
01
10
10
00
10
00
10
00
10
00
00
10
11
10
11
00
01
10
10
00
00
01
01
11
11
11
01
10
00
00
10
11
00
10
00
00
00
10
00
01
00
00
00
00
01
10
00
11
10
11
10
10
00
10
10
01
00
10
00
01
01
01
10
01
11
10
10
00
00
11
10
01
00
11
10
01
00
00
00
11
10
01
01
10
00
11
01
01
00
10
10
01
11
11
11
01
10
00
11
00
11
00
01
11
10
11
10
00
00
00
10
00
10
11
10
01
00
10
11
10
10
11
11
01
10
00
01
11
11
11
01
00
01
00
10
10
00
01
11
10
00
00
10
00
10
01
10
11
00
01
10
11
00
01
00
11
10
00
00
10
01
01
00
10
10
00
10
01
00
10
10
10
10
10
00
00
00
01
00
11
10
00
01
00
10
00
11
10
11
10
00
11
01
11
00
10
10
00
00
11
10
01
00
00
10
10
00
10
11
10
00
01
00
00
10
01
01
00
00
00
10
01
01
11
10
00
00
01
10
10
00
01
00
11
10
00
10
00
10
00
10
10
00
10
10
10
10
01
00
00
10
10
00
10
01
00
00
10
01
01
10
11
01
00
01
00
10
10
01
01
11
00
01
11
10
10
10
10
00
00
11
00
00
10
10
00
10
00
01
11
00
00
00
10
10
00
10
10
10
10
11
10
11
01
00
01
10
01
00
11
10
01
00
00
00
11
11
01
11
10
10
10
00
10
11
00
00
11
10
00
10
00
00
10
01
00
10
10
01
11
01
00
11
00
00
01
10
00
10
11
01
10
10
11
00
00
10
10
10
10
11
10
00
01
01
11
11
10
10
11
00
10
10
10
00
00
10
01
00
11
11
10
00
00
00
11
01
11
00
11
10
00
01
11
10
00
01
01
10
10
11
10
10
00
11
10
00
11
00
01
00
01
01
00
10
11
00
00
00
10
11
00
01
10
11
00
01
00
00
00
10
00
00
10
11
10
10
00
00
00
00
00
00
10
00
10
10
00
01
11
00
11
10
10
00
00
00
10
00
10
10
10
10
11
01
10
00
00
10
10
11
00
00
10
10
00
10
00
00
00
10
01
00
11
10
00
00
01
10
01
00
11
01
01
00
01
01
11
11
00
11
01
10
10
00
01
11
10
11
00
00
10
01
10
11
01
00
00
11
10
10
00
01
11
10
00
10
10
10
01
00
00
10
01
00
10
00
01
10
11
11
00
11
10
00
00
00
10
11
00
00
00
11
10
00
00
11
10
11
00
01
10
00
11
10
01
00
10
11
10
01
10
11
01
11
00
00
10
11
11
01
01
11
10
10
01
01
10
10
00
00
10
00
01
01
00
11
10
11
10
01
11
11
00
01
10
10
01
11
10
01
01
10
00
01
01
00
00
10
10
00
00
00
10
10
10
00
00
00
10
00
10
10
10
00
10
01
10
10
10
10
00
01
00
00
10
10
10
10
00
00
11
00
01
10
10
00
00
10
10
01
00
11
00
11
00
00
10
10
01
00
00
10
11
01
11
00
01
10
00
00
10
01
00
11
10
00
00
10
11
01
00
10
00
10
11
01
01
11
11
01
11
00
10
00
00
10
11
01
00
10
11
10
10
10
11
01
00
11
00
00
10
10
00
11
10
00
00
10
11
11
10
00
10
10
01
11
10
00
00
11
10
10
00
11
11
10
00
10
01
11
11
00
00
00
10
00
00
01
10
00
10
01
00
11
00
10
10
01
11
00
10
10
00
00
00
01
10
10
00
10
11
00
10
01
00
00
11
10
00
10
01
11
10
10
00
00
10
10
10
00
01
11
10
10
10
00
10
11
00
01
11
10
10
10
10
01
10
01
01
10
10
10
11
01
01
10
00
00
10
10
11
01
01
00
00
10
10
00
10
01
00
01
11
10
00
10
01
00
11
10
00
10
10
11
10
10
00
01
10
01
10
00
00
00
10
00
01
10
00
10
00
00
00
11
10
00
00
00
00
00
10
10
00
10
01
10
10
00
00
11
10
11
01
00
10
01
00
00
10
10
01
10
11
01
10
11
10
10
10
01
10
10
00
00
01
10
00
11
10
00
01
11
11
10
01
00
00
10
00
10
00
10
11
00
01
10
11
01
11
10
00
10
10
10
00
00
10
00
01
10
01
10
00
10
10
10
01
00
10
11
11
00
11
01
10
11
11
01
00
00
10
10
10
01
00
11
00
00
11
10
11
10
01
01
10
10
00
11
10
10
00
01
11
01
00
10
01
01
11
10
10
10
10
00
10
10
00
00
10
01
10
10
01
10
00
00
11
11
10
00
00
00
10
10
10
10
00
01
10
01
10
10
10
10
00
00
10
10
01
11
00
00
01
00
00
01
00
00
11
10
11
10
01
10
00
01
10
10
00
01
10
01
00
10
10
11
00
00
00
11
00
10
10
00
10
10
10
10
10
10
00
10
10
01
11
10
00
11
00
00
01
10
00
00
00
11
11
00
00
01
00
01
10
11
00
01
10
01
01
10
00
00
00
10
10
00
00
01
10
11
00
10
00
10
11
11
10
00
00
00
00
11
10
00
00
10
11
01
10
01
10
00
11
00
11
11
10
00
10
11
00
00
10
10
11
10
00
00
10
10
10
11
01
00
10
10
00
00
10
11
11
01
11
01
01
01
01
10
01
01
10
10
00
00
11
11
00
10
11
00
10
10
10
00
00
11
11
00
00
10
01
00
10
10
11
10
00
11
01
01
00
01
00
10
00
01
10
11
00
00
10
11
00
11
00
00
00
01
10
11
10
00
11
10
00
00
11
10
01
11
00
01
11
10
11
00
00
11
10
01
01
10
10
10
10
10
11
00
10
10
10
10
11
01
00
10
10
10
10
01
00
10
11
00
00
11
10
10
00
10
11
00
10
00
11
00
00
00
10
11
00
10
00
00
00
10
01
00
00
10
10
11
10
10
11
10
10
01
01
00
01
11
11
10
01
10
01
00
11
00
00
11
10
00
00
11
11
10
00
00
00
00
00
11
00
00
10
01
10
11
00
00
11
10
01
11
10
00
00
10
00
11
10
00
00
11
00
10
10
00
11
00
11
01
00
11
11
10
00
00
10
10
01
01
00
10
10
11
10
00
00
10
11
00
00
00
10
11
00
01
11
10
01
01
10
01
00
10
11
00
00
11
11
00
10
10
00
00
00
00
11
01
00
10
11
01
10
10
01
11
10
11
00
00
00
00
10
10
10
00
00
11
00
00
10
10
01
11
00
10
00
01
01
00
11
10
00
01
00
10
10
01
01
11
10
01
10
10
11
11
01
01
10
10
10
00
10
00
10
10
00
00
10
10
01
00
10
00
00
11
00
10
10
10
11
00
00
01
10
01
00
00
01
00
00
00
10
11
00
00
01
11
00
10
01
10
10
00
10
01
00
00
11
00
01
10
01
00
11
00
01
10
10
00
01
10
10
10
10
10
00
01
10
01
01
11
11
10
10
01
00
10
00
00
10
11
00
11
10
00
00
00
00
11
10
11
00
11
00
00
11
00
10
10
01
10
10
11
00
01
10
11
11
00
00
10
00
00
10
00
01
00
00
10
10
00
00
10
00
01
00
00
10
00
00
10
00
10
10
01
10
10
00
11
01
11
10
00
11
01
10
10
00
01
10
10
10
00
01
00
10
11
00
11
10
00
00
01
01
01
01
10
00
10
10
10
11
00
01
10
11
10
10
11
00
10
00
00
10
01
10
10
10
10
00
00
10
11
00
00
00
10
01
00
01
10
11
00
10
11
00
00
10
10
00
11
00
01
01
10
10
10
10
01
00
01
10
00
11
11
00
00
00
11
00
11
10
11
10
10
00
00
11
01
01
10
00
10
00
10
00
10
11
11
01
00
01
00
00
10
00
00
10
01
01
11
00
00
00
11
00
00
01
11
00
00
00
11
10
01
11
11
10
01
10
00
10
00
00
10
10
00
00
10
10
11
00
01
10
00
10
11
10
00
00
10
10
00
00
10
00
01
01
10
00
00
00
01
10
00
00
10
10
00
01
10
10
00
01
10
10
10
10
00
01
00
00
11
11
01
01
11
11
00
10
01
10
00
00
10
10
01
11
10
01
00
00
10
01
00
11
00
00
10
10
00
00
10
10
00
10
11
00
01
00
00
01
10
00
11
10
00
00
11
10
01
01
11
10
00
00
10
00
01
01
10
11
00
10
00
00
10
01
01
10
10
10
10
01
10
00
00
00
01
11
10
10
00
00
10
00
00
10
11
10
01
10
10
00
01
10
10
10
00
00
00
11
10
00
00
11
00
11
00
10
10
01
01
11
00
01
10
00
00
00
11
10
01
00
00
10
00
10
00
10
10
01
00
10
00
10
10
11
00
00
00
00
10
10
01
10
11
00
11
01
10
10
00
00
10
01
00
10
00
01
01
10
10
11
00
00
00
10
01
00
00
00
00
01
11
10
11
00
00
10
01
00
10
01
00
00
11
00
10
01
01
11
00
00
01
00
11
01
00
10
00
01
10
00
10
01
00
01
00
01
00
00
10
10
01
00
10
10
00
10
11
11
10
00
01
01
00
10
00
00
01
10
00
00
10
01
00
00
10
10
01
00
10
10
10
00
10
01
10
11
00
11
01
11
00
00
00
00
01
00
11
10
10
10
00
01
10
00
00
01
10
11
01
10
00
10
10
01
01
10
11
10
10
00
00
10
00
00
10
11
00
00
01
00
01
00
00
10
10
00
01
11
10
10
10
11
11
01
00
01
10
00
10
10
00
00
01
11
00
00
10
11
11
10
00
00
01
10
10
10
11
00
00
00
01
00
11
01
11
00
10
10
10
10
00
11
10
01
00
00
00
10
01
10
11
10
11
01
01
10
00
00
10
10
00
00
10
11
01
10
01
00
01
11
10
00
10
11
10
00
01
00
10
11
00
11
11
10
10
10
10
01
10
10
00
11
01
01
00
00
10
01
11
01
10
10
00
11
11
00
10
10
10
00
00
11
00
11
01
00
10
01
11
10
10
01
11
00
00
10
11
10
11
00
01
01
10
01
01
10
10
00
00
10
10
00
00
01
11
10
11
10
11
11
10
00
00
11
10
10
10
00
00
11
01
10
01
10
10
01
11
11
01
10
10
01
00
10
00
00
10
10
01
10
00
00
00
11
00
01
10
11
11
01
10
00
11
10
00
00
10
11
10
01
00
10
11
11
10
00
00
11
11
00
00
10
00
01
10
00
00
10
10
00
00
01
00
10
10
11
00
10
00
10
00
10
01
11
01
00
00
10
11
10
10
00
01
11
11
00
10
00
10
11
01
00
10
11
10
01
00
00
00
00
11
11
10
11
01
00
10
01
00
00
01
10
00
01
10
10
10
10
00
00
00
00
10
00
00
10
10
00
11
00
11
10
10
11
10
11
00
11
01
10
10
00
10
00
10
10
10
00
01
10
11
00
01
10
00
00
10
11
01
10
10
10
10
10
00
10
00
01
10
10
00
00
11
10
00
10
10
10
00
11
10
10
00
00
10
00
11
10
01
01
11
00
01
10
10
10
00
11
10
10
00
11
01
01
10
00
00
11
11
01
00
01
10
10
01
00
11
11
00
01
00
10
01
00
11
00
01
10
10
00
10
00
01
00
11
11
11
11
00
10
01
10
11
10
00
00
10
01
11
10
00
10
10
10
11
00
00
00
11
10
10
11
00
10
00
10
11
11
00
00
10
01
00
00
00
00
00
01
01
10
10
01
00
10
10
01
00
10
10
00
10
01
10
11
10
10
01
10
01
00
11
10
10
11
10
00
00
01
11
01
11
10
01
01
11
01
00
10
00
01
11
00
00
10
00
00
00
01
10
10
10
01
11
10
10
00
10
00
00
10
10
10
00
00
01
00
00
10
10
11
01
10
00
11
10
11
10
00
00
00
00
10
10
10
10
00
00
01
00
01
01
00
11
10
10
10
10
01
10
10
01
10
11
01
11
00
11
10
00
10
11
10
10
10
01
10
10
00
01
10
00
00
00
11
00
01
11
00
01
10
00
10
00
00
10
10
11
00
11
10
10
10
01
10
10
00
00
10
00
00
01
01
10
10
10
10
00
00
10
00
01
11
10
10
00
00
00
01
00
00
11
10
10
10
01
01
00
00
10
10
00
10
00
10
10
11
10
11
10
10
00
10
00
00
01
00
00
01
11
00
01
10
10
10
00
10
10
00
01
00
10
11
01
00
10
10
00
00
00
11
10
01
00
00
10
10
00
00
00
11
10
00
00
10
00
11
00
00
11
10
10
10
10
01
00
00
00
10
11
10
11
11
00
11
00
10
10
11
01
01
10
10
00
11
10
01
01
10
00
10
00
00
10
11
01
01
10
10
10
10
11
11
10
00
00
01
01
01
10
00
10
00
00
10
11
10
00
00
01
01
00
10
10
00
01
00
10
10
00
00
11
10
00
10
01
10
10
10
00
00
00
10
10
10
00
00
10
01
01
00
00
11
10
11
10
10
00
01
11
10
10
00
00
01
11
00
01
11
00
00
11
00
00
10
11
10
00
10
11
00
11
00
01
01
10
00
00
10
11
10
00
11
10
01
10
01
10
00
11
00
01
10
00
00
00
10
00
10
10
01
11
00
01
10
00
10
11
10
10
10
01
10
11
01
00
01
11
00
00
01
10
10
00
00
00
10
10
01
00
10
11
11
10
00
00
10
01
10
00
00
01
11
00
01
10
11
00
11
10
00
10
11
00
00
10
11
11
00
10
00
10
10
00
11
10
00
00
11
10
01
10
11
00
00
01
10
11
00
10
00
01
10
00
10
00
11
00
01
00
01
00
11
00
00
10
10
00
01
10
10
10
00
11
00
01
10
10
10
00
01
11
10
11
11
10
11
10
11
01
00
10
10
01
00
01
11
00
10
00
11
00
00
11
10
10
00
10
01
01
01
10
11
00
10
10
01
01
11
11
00
00
10
10
00
01
10
00
01
00
00
11
10
00
10
10
10
00
00
11
01
10
10
00
00
10
00
00
10
00
10
11
01
10
00
01
00
11
11
01
10
10
00
00
00
00
11
11
01
01
11
10
00
01
11
10
00
01
10
00
00
11
00
00
00
10
10
00
10
10
10
10
10
00
01
00
10
00
10
10
10
00
01
01
11
10
11
10
11
00
10
01
00
11
10
10
10
11
10
00
01
10
10
00
01
01
01
11
10
11
10
10
10
01
01
11
00
00
00
00
00
10
11
00
11
10
00
11
10
00
01
10
10
00
10
00
01
11
10
10
01
10
00
00
01
11
00
00
10
10
01
00
10
10
10
00
10
10
01
10
01
01
10
10
00
10
11
00
01
00
10
11
10
10
01
11
10
00
00
10
00
00
01
00
01
00
10
10
11
10
11
10
01
10
11
10
11
11
00
00
11
00
00
11
10
00
00
10
10
00
00
10
00
10
10
10
01
01
00
00
10
10
10
00
10
10
00
10
11
00
10
00
00
01
10
00
00
10
00
00
11
10
10
10
10
01
11
00
01
00
10
00
10
10
00
10
10
00
11
10
00
10
11
10
00
11
10
11
11
10
00
01
11
11
10
10
10
00
11
00
00
00
10
00
10
10
01
10
00
10
00
01
00
00
00
10
10
10
00
00
10
00
10
00
00
00
01
01
00
00
10
11
00
00
00
11
11
10
01
01
10
10
01
01
10
00
00
11
01
01
11
10
00
00
10
01
00
10
11
11
00
10
00
11
00
00
10
01
01
10
00
01
10
10
00
10
00
10
11
01
01
10
00
11
11
11
01
01
11
10
01
00
00
10
10
11
00
00
00
01
11
00
00
01
00
00
01
00
11
00
11
10
10
00
00
10
10
10
00
10
00
00
10
00
10
11
10
00
00
10
00
01
11
11
11
00
00
00
01
01
11
10
11
10
11
11
10
11
10
00
00
11
00
01
00
10
01
10
01
01
00
11
00
00
10
01
10
01
00
10
00
00
10
10
10
00
00
00
10
10
10
11
10
10
10
01
00
01
10
10
01
01
10
00
01
11
10
11
11
00
00
01
11
10
01
00
10
00
00
11
01
10
10
10
01
00
01
00
10
11
10
00
00
00
10
11
11
01
11
00
11
00
01
00
10
11
01
10
10
00
00
00
11
11
01
11
10
01
00
11
10
00
10
10
00
01
00
00
00
00
01
00
11
10
10
00
10
00
01
01
00
00
01
10
11
01
10
01
00
00
10
00
10
10
11
01
00
00
10
01
00
11
00
10
01
11
10
01
00
10
00
00
00
10
00
00
11
10
10
11
10
00
10
00
00
10
10
00
00
10
00
00
10
00
11
10
00
00
10
00
11
00
01
10
01
00
10
10
11
10
00
10
10
11
10
00
10
00
00
00
10
11
11
00
10
00
10
00
10
10
11
10
10
00
00
11
10
00
10
01
10
00
10
11
11
10
00
00
10
10
01
01
10
11
10
11
10
10
00
10
10
00
00
10
00
11
10
00
11
00
11
00
10
10
10
11
10
11
00
01
10
00
01
10
01
00
11
10
01
00
11
10
01
00
10
11
00
00
01
01
11
10
01
00
01
00
10
11
11
00
00
01
10
01
11
10
01
01
10
00
10
10
00
10
10
01
10
11
00
01
01
10
10
00
10
10
10
11
10
11
11
00
10
01
10
01
11
10
01
00
01
10
00
11
00
01
10
11
00
10
01
00
10
11
01
00
11
00
01
00
00
10
00
00
10
01
11
00
00
00
10
10
11
00
00
11
00
11
00
11
00
01
00
10
10
00
01
10
00
00
10
00
00
10
11
10
00
00
11
10
11
10
11
00
10
00
00
11
10
00
00
11
10
00
00
00
10
11
00
00
01
00
00
10
10
10
11
01
00
00
00
01
00
00
11
11
11
01
01
10
00
00
10
01
00
10
00
00
11
10
00
10
10
00
10
00
00
10
10
10
11
11
00
10
01
00
10
10
00
01
10
11
11
11
00
00
10
00
01
10
01
01
10
10
10
10
01
00
10
10
00
10
10
01
10
01
01
00
10
00
00
00
00
10
11
10
10
10
01
00
00
00
00
10
10
00
00
10
10
10
10
11
11
01
00
10
10
10
00
10
10
00
00
01
00
10
01
01
00
10
01
00
10
10
10
10
00
01
00
01
00
00
10
01
10
11
11
01
10
11
10
00
01
10
00
00
00
11
10
11
01
10
00
10
10
01
00
01
10
01
10
00
01
11
10
00
11
10
00
00
00
10
00
01
01
11
10
01
01
01
11
11
11
10
10
00
00
10
10
00
00
01
01
00
01
10
00
01
11
11
11
00
00
00
00
10
00
00
11
11
00
10
00
00
11
00
00
10
10
01
00
10
01
10
11
10
00
01
10
10
00
10
10
00
01
00
00
10
00
01
10
10
00
10
11
10
00
01
10
00
10
11
10
01
00
10
00
10
00
11
00
10
11
01
10
01
10
11
10
00
00
00
01
10
11
01
10
01
01
00
11
10
01
01
10
11
10
10
00
10
11
10
00
01
00
10
01
11
00
10
00
01
01
01
10
01
00
11
10
10
11
01
00
11
01
00
00
01
10
00
11
00
11
10
01
11
00
00
00
00
11
10
00
00
01
00
10
11
00
00
10
10
10
10
00
00
11
00
10
00
01
11
00
00
10
11
00
00
00
11
10
00
10
00
01
10
11
10
00
00
00
01
01
10
00
10
10
00
10
10
10
01
00
00
00
10
01
10
10
01
11
10
10
01
11
11
10
10
11
00
01
11
00
01
10
00
11
11
00
11
00
10
10
00
10
00
10
01
01
10
11
10
10
10
01
10
00
00
11
00
11
00
00
11
10
10
10
00
01
00
01
01
00
10
00
01
10
11
00
10
00
00
01
01
11
01
11
10
00
10
10
11
01
00
10
00
00
11
10
00
00
10
10
00
11
10
10
10
00
01
11
10
00
10
10
10
10
10
00
01
10
10
00
00
10
01
01
10
10
00
10
00
11
01
00
11
11
11
00
01
01
00
10
10
10
00
01
00
10
01
01
00
10
01
00
11
10
01
11
00
01
00
00
10
01
00
11
10
00
11
11
00
00
11
10
10
00
00
00
10
11
10
11
11
11
11
01
10
11
10
00
01
11
10
00
10
11
00
00
00
11
11
00
00
10
01
01
00
10
00
10
11
00
10
00
11
01
00
10
00
01
10
10
01
10
01
00
10
00
10
10
10
10
01
10
00
10
10
11
00
10
01
10
10
00
10
10
10
11
00
01
10
10
00
10
11
00
00
11
10
10
11
01
00
10
10
00
00
10
00
01
10
10
10
01
00
10
10
10
10
11
00
00
11
11
10
00
00
00
11
01
11
11
01
10
00
11
00
10
11
10
10
11
01
00
00
10
10
10
10
00
01
11
10
01
01
00
00
00
11
10
00
01
00
01
11
00
11
00
00
10
00
01
11
11
01
01
00
00
10
11
00
00
11
01
01
11
01
10
00
00
10
11
01
00
11
10
01
10
10
00
00
00
11
00
01
01
01
00
10
00
00
10
00
10
10
10
00
11
01
00
10
11
00
10
01
10
10
10
00
00
11
00
01
00
11
11
00
01
10
10
00
00
10
10
11
01
00
11
11
10
01
10
00
00
10
10
00
01
01
10
10
10
10
00
10
01
00
01
00
00
11
10
00
01
10
10
10
10
00
00
10
11
00
00
01
01
11
10
11
00
10
00
01
00
10
10
00
00
00
10
11
10
00
00
11
00
00
10
11
10
00
10
10
11
00
00
10
10
00
10
10
00
00
01
10
00
00
11
10
00
01
10
10
11
00
00
00
11
10
00
00
00
00
10
00
10
00
00
10
10
11
00
10
01
00
00
10
00
11
01
10
00
10
10
00
10
00
11
11
00
11
00
00
00
00
00
10
10
01
00
10
11
01
11
01
11
01
00
10
00
00
10
10
00
10
11
10
11
00
10
10
10
10
11
00
01
01
10
10
00
10
10
10
00
00
10
00
01
01
01
11
10
11
10
00
10
10
01
10
10
01
01
00
00
11
10
11
11
00
00
10
01
10
00
10
11
11
01
01
11
01
10
10
00
10
10
01
10
11
10
01
10
10
00
00
11
10
00
10
01
00
11
10
00
01
01
10
11
10
00
11
10
01
01
11
10
00
00
01
11
00
01
10
11
11
00
00
10
01
11
10
00
00
10
00
11
00
10
01
01
11
01
01
10
00
10
01
01
11
10
10
01
00
01
11
10
00
10
10
10
00
01
00
10
10
11
00
10
10
00
00
10
10
10
00
00
00
10
00
10
00
01
11
01
01
00
10
00
11
00
00
10
00
00
11
11
10
00
00
00
00
10
10
11
01
00
11
10
01
00
01
01
10
10
11
00
01
11
00
00
11
01
11
00
01
00
11
11
10
01
10
10
01
00
10
11
00
00
00
10
10
11
10
11
00
01
11
10
00
00
11
10
01
01
10
00
10
10
00
10
10
01
01
01
11
10
00
10
10
00
01
00
11
10
01
01
10
00
00
01
11
00
00
11
11
01
00
00
01
11
00
01
01
01
01
00
01
01
10
11
00
10
10
00
00
10
01
01
10
11
10
00
00
01
01
00
00
10
00
10
00
00
00
10
01
10
10
00
10
00
10
10
01
01
10
11
10
10
10
00
00
10
01
01
00
01
01
00
00
00
10
10
11
10
01
10
00
10
10
00
10
10
00
00
11
00
01
10
10
01
10
11
10
10
00
10
11
00
11
00
00
01
00
10
01
10
11
10
00
00
10
01
00
01
10
00
10
10
10
01
10
10
10
00
00
01
10
10
10
11
10
11
00
10
00
10
11
00
10
00
00
00
11
11
00
00
10
00
10
00
01
01
11
11
00
10
00
01
10
10
10
00
00
11
11
10
10
11
10
10
11
11
00
01
10
00
00
00
00
10
01
00
00
00
00
11
10
00
10
10
00
11
10
10
11
01
00
11
01
10
11
10
00
11
01
00
00
10
10
00
00
00
11
00
10
11
00
00
00
00
11
01
00
10
00
10
10
11
01
00
10
10
00
01
10
01
10
00
01
11
01
10
01
10
10
10
01
01
10
11
00
00
00
00
00
01
00
11
11
11
00
11
10
00
01
11
00
00
00
11
00
11
10
11
00
00
10
01
00
01
00
00
10
10
01
10
10
10
00
01
10
00
00
11
00
10
01
10
10
00
11
10
01
10
11
10
00
00
10
10
00
10
01
00
01
10
00
10
10
10
10
10
01
00
01
10
10
11
11
10
00
01
11
00
11
00
00
10
00
00
11
10
01
10
10
11
00
01
10
10
01
00
10
10
10
00
11
00
00
00
10
11
11
01
01
10
10
10
00
10
00
01
11
11
10
11
01
10
10
01
11
00
01
11
10
10
10
01
10
11
00
00
10
00
10
00
00
11
01
10
10
11
10
10
00
01
00
01
11
10
00
01
11
01
00
10
10
10
01
01
00
10
00
00
10
00
10
00
10
10
00
11
10
10
00
00
00
00
11
10
01
10
11
10
11
01
00
10
11
11
00
10
01
11
10
10
10
01
01
00
10
10
00
11
10
01
00
11
00
00
00
00
11
10
11
00
10
00
00
10
11
10
00
01
00
11
00
11
00
11
00
10
10
10
10
00
01
11
00
10
11
00
00
10
11
10
11
01
00
10
00
00
00
11
10
00
01
00
00
01
00
11
10
00
11
00
00
00
00
10
00
01
01
10
10
11
00
01
10
00
10
10
00
10
10
00
11
00
01
00
10
10
00
10
10
00
00
10
10
10
00
00
10
10
11
10
00
01
01
10
11
10
01
00
01
10
11
11
00
01
00
10
10
10
10
00
10
11
10
01
00
10
11
10
10
01
01
11
11
00
10
00
10
01
00
10
00
00
11
10
01
01
10
11
10
10
00
10
10
01
01
11
10
10
01
10
01
00
10
10
10
00
00
00
00
00
10
00
00
10
10
01
10
00
10
10
11
10
11
00
00
00
01
01
00
10
11
10
00
10
10
00
01
00
11
10
00
11
11
01
11
01
00
01
10
11
00
01
11
10
01
00
00
10
01
01
11
00
00
10
10
01
10
10
00
00
10
10
00
00
10
01
10
10
00
10
11
01
01
10
10
10
00
00
10
00
00
00
10
00
00
01
01
10
00
00
01
10
10
00
11
01
11
10
10
00
01
10
00
10
10
11
01
10
01
00
10
10
00
00
10
00
01
10
10
10
00
10
00
01
11
11
01
10
01
10
00
10
00
01
11
10
00
10
10
00
11
00
11
11
00
10
00
10
10
11
01
01
01
10
00
10
10
00
11
10
00
00
01
11
11
00
01
10
11
10
00
00
11
11
01
10
11
00
00
10
00
01
10
11
00
11
00
10
00
00
10
10
00
10
10
00
01
00
10
10
10
10
10
10
00
01
00
10
01
11
00
00
00
10
10
01
01
11
10
10
00
01
00
00
10
10
10
00
10
10
10
01
00
01
11
10
10
11
10
00
10
10
11
00
10
00
01
00
00
01
01
00
00
00
10
10
00
00
10
00
01
10
00
00
10
00
00
10
11
00
00
10
01
00
11
11
11
10
00
11
11
00
01
10
10
00
00
01
00
00
10
10
00
00
11
00
00
11
11
01
01
00
01
11
10
10
10
10
11
00
00
10
00
11
00
00
00
11
11
00
10
00
01
10
10
00
00
11
10
01
00
10
00
11
10
10
11
01
11
01
00
11
10
00
11
00
01
10
00
00
11
10
00
10
11
11
00
10
11
11
10
00
01
10
10
00
10
01
01
00
10
10
01
10
01
00
11
10
01
00
00
11
11
10
01
01
10
00
10
01
10
00
00
10
11
00
10
10
00
00
10
00
00
01
10
11
10
11
10
00
10
10
10
11
00
00
00
11
00
00
01
00
00
00
10
11
11
10
01
10
11
10
11
00
00
00
10
10
00
00
10
10
10
10
01
10
10
01
10
11
00
10
00
10
01
10
11
00
00
01
10
10
10
00
00
11
11
00
11
10
10
00
00
10
01
01
11
11
01
11
00
00
00
00
01
10
00
00
11
01
10
00
01
10
11
00
00
01
11
10
11
00
11
00
01
11
01
00
10
01
00
10
11
10
00
00
11
10
01
10
00
10
11
00
00
11
10
10
10
11
00
10
00
00
10
11
11
00
00
00
01
00
01
00
01
00
00
00
11
10
10
00
00
10
01
11
10
11
01
10
11
00
00
11
10
00
11
01
01
10
10
10
00
00
00
00
10
00
00
00
10
11
10
10
01
00
01
11
11
01
00
11
01
01
01
10
10
01
10
11
10
01
10
10
11
10
00
01
10
01
01
11
11
10
00
00
10
10
01
01
10
11
00
10
10
11
00
11
10
10
10
01
01
00
10
10
00
10
00
00
10
00
10
00
10
01
01
00
00
01
00
00
11
11
10
01
00
00
11
01
00
00
00
10
00
00
10
11
10
00
10
11
00
00
11
00
00
01
10
10
11
10
10
10
01
00
00
11
10
01
10
10
10
10
00
10
11
01
00
00
00
11
00
10
11
01
01
10
01
10
01
11
10
00
11
10
00
10
10
00
01
01
10
10
01
11
10
01
10
00
00
11
10
00
10
10
10
11
10
00
10
11
10
00
10
01
00
00
10
01
00
00
00
11
11
11
00
00
00
11
10
00
00
11
11
01
11
01
10
01
10
10
00
00
10
00
11
11
10
00
00
01
00
01
10
11
11
10
00
10
10
01
10
10
10
00
11
00
11
10
10
00
00
01
11
01
00
10
00
00
00
10
11
00
00
00
00
01
10
00
01
00
01
11
00
10
10
10
00
10
10
01
10
00
01
10
10
00
10
10
00
01
11
11
00
11
10
01
01
00
00
10
10
11
00
01
10
00
00
10
00
00
00
11
10
10
00
11
00
10
10
00
00
00
01
01
11
10
00
10
01
00
11
11
00
00
00
11
00
00
11
10
10
01
01
01
00
10
10
10
00
10
00
10
00
01
01
10
10
00
01
10
10
11
10
00
01
10
00
01
10
10
11
01
10
10
00
01
00
10
10
00
00
10
10
10
11
01
01
10
11
00
00
11
01
00
10
00
00
10
00
11
00
01
11
10
11
00
11
10
00
00
11
01
10
11
00
01
10
00
01
00
10
11
00
01
10
00
01
00
10
10
00
10
10
00
01
00
10
01
10
11
11
11
00
00
00
01
10
00
00
10
00
01
01
10
11
01
00
01
00
00
10
00
10
01
10
00
00
10
00
00
00
11
11
00
10
11
01
00
11
00
10
00
10
10
00
00
01
01
10
10
00
11
11
11
00
10
01
01
10
00
01
00
00
11
11
00
01
11
10
01
11
11
11
01
01
00
10
11
01
00
01
11
10
11
11
00
00
01
10
10
00
11
10
00
00
00
00
01
10
01
11
00
10
11
10
10
01
00
01
01
11
11
11
01
10
01
00
10
10
11
00
00
00
10
00
00
10
10
00
00
11
01
00
01
10
01
00
00
11
11
00
00
10
01
10
10
00
10
10
01
00
10
00
11
01
11
00
01
01
10
11
00
01
10
10
00
10
10
01
00
11
10
00
10
00
11
00
00
11
10
01
00
10
10
00
10
10
01
01
00
10
10
11
10
11
10
01
10
01
10
10
11
00
00
10
01
00
01
10
11
00
11
01
10
10
00
11
10
00
01
11
00
10
10
01
00
00
10
10
10
00
00
01
10
01
10
00
10
01
00
10
11
00
11
00
10
10
00
10
11
00
00
10
11
10
00
00
11
10
00
10
00
10
10
10
11
11
10
00
11
01
11
10
00
11
10
10
00
01
10
00
10
11
01
00
11
10
01
10
11
00
10
00
11
01
00
10
11
10
11
00
11
00
00
00
00
11
10
01
00
00
00
10
00
00
00
11
10
01
10
10
11
10
11
10
01
11
10
00
00
11
00
11
00
10
10
00
10
11
10
00
00
11
00
11
10
10
01
00
11
10
11
00
10
10
00
11
10
00
00
00
10
10
00
00
10
10
11
10
10
00
01
10
10
10
01
01
00
00
11
10
10
00
01
00
00
10
10
11
11
00
01
10
00
01
11
10
10
01
01
00
01
10
10
00
00
00
11
00
00
00
11
10
00
11
00
00
10
10
10
11
01
11
10
00
00
11
01
01
11
11
10
00
00
00
00
10
10
00
11
00
00
10
00
10
10
10
00
10
10
10
00
00
00
10
10
10
00
10
00
01
01
11
10
00
11
10
10
01
01
10
01
11
01
00
10
11
00
01
00
00
00
10
01
00
10
10
00
10
00
01
00
10
00
00
11
00
11
10
11
00
10
00
10
01
00
01
01
11
01
00
11
11
11
00
00
00
11
11
01
00
11
10
00
11
11
10
11
10
00
10
11
00
11
10
00
11
00
00
00
00
10
00
10
10
00
10
11
00
10
10
00
00
11
10
00
00
10
11
10
00
00
10
00
00
10
10
01
00
00
10
01
10
10
00
10
11
01
10
11
10
11
11
01
10
00
01
10
10
01
01
10
11
00
00
00
10
00
00
10
11
00
10
11
11
10
01
10
10
00
01
10
01
10
01
11
11
10
11
10
01
11
00
10
00
11
10
01
10
00
00
01
00
00
01
10
11
00
10
11
10
00
10
11
00
01
00
00
11
00
11
10
00
00
10
10
00
10
10
01
00
11
00
00
00
01
00
10
11
01
11
00
00
11
00
00
10
01
01
11
01
01
01
10
11
10
00
10
11
01
00
10
10
10
10
10
01
10
10
00
00
00
10
00
00
00
11
10
10
00
10
01
10
00
00
00
00
01
11
00
11
11
01
10
11
00
00
10
11
01
00
10
10
10
10
10
11
00
00
00
10
11
00
10
11
00
00
11
01
00
10
10
10
11
00
00
00
11
10
00
01
10
10
00
10
11
01
10
00
10
10
00
10
00
10
10
00
01
10
00
11
00
00
11
00
01
01
10
11
10
10
00
00
00
10
10
10
10
11
10
11
00
11
11
01
01
10
01
00
00
10
01
11
10
00
00
00
10
10
00
00
00
10
00
01
00
00
00
01
10
00
01
10
10
11
00
00
10
10
00
10
10
10
00
00
11
00
00
10
00
01
11
10
00
10
00
01
10
11
10
10
10
00
01
00
00
10
10
00
10
10
01
10
00
10
00
11
11
10
10
00
11
00
00
10
01
11
00
11
10
00
01
10
01
01
11
01
11
11
11
00
00
10
00
00
10
10
10
10
01
10
00
00
00
11
10
11
00
11
10
01
11
00
00
10
10
00
10
10
10
00
10
10
10
00
10
10
10
00
00
10
01
10
01
01
10
11
11
10
01
00
10
00
10
10
10
10
01
00
10
11
01
10
11
01
01
00
10
00
11
01
00
11
00
00
10
00
10
11
01
00
00
11
11
01
01
10
10
00
01
10
10
00
01
00
00
10
10
11
11
00
01
10
10
00
00
10
00
10
11
11
00
00
10
10
10
00
00
00
10
10
00
11
11
10
10
00
00
01
10
10
10
11
10
11
10
00
01
10
10
10
10
01
10
01
01
01
11
01
01
01
10
10
10
11
10
01
00
10
10
00
00
01
01
00
10
11
10
00
10
10
00
00
01
10
10
00
00
00
00
11
00
10
10
00
10
00
01
11
10
01
00
00
00
11
01
11
10
00
10
10
00
00
01
11
01
01
00
10
10
11
01
00
11
00
01
11
01
01
01
11
00
00
10
10
01
01
11
11
10
11
10
11
00
10
10
01
11
10
10
00
00
10
00
11
01
11
10
01
10
00
10
01
01
11
00
00
00
10
10
10
00
11
10
00
11
00
00
00
11
10
01
11
00
00
10
10
10
11
10
10
11
00
01
00
11
01
10
10
01
00
01
10
11
11
00
10
10
10
00
10
10
01
00
00
10
00
00
01
01
10
10
00
00
10
00
00
01
00
10
00
11
01
01
00
11
01
01
00
10
00
00
10
11
00
00
11
01
10
00
10
01
10
00
10
10
01
00
00
00
10
01
10
10
00
10
10
00
00
11
01
11
10
10
10
11
00
01
00
10
00
00
00
00
11
10
01
00
01
10
10
11
10
10
00
10
11
00
00
10
11
00
11
00
00
00
01
00
00
00
10
10
11
10
00
00
01
10
10
10
11
10
10
00
01
10
10
00
01
10
10
00
10
10
00
10
00
00
10
00
00
11
11
10
11
01
01
10
10
01
10
01
11
11
01
00
10
10
00
01
10
10
01
00
10
11
10
00
10
10
11
10
00
00
00
00
10
11
00
11
01
10
10
00
01
01
00
10
10
00
00
11
01
11
11
00
00
10
10
00
01
10
10
10
00
10
11
00
11
00
00
11
00
01
10
10
00
10
00
00
00
10
01
10
10
00
10
11
01
01
00
10
10
00
00
10
00
10
01
01
10
00
11
10
00
00
10
00
10
10
01
01
01
10
11
11
11
10
11
01
01
00
10
10
00
01
10
11
00
10
10
10
00
11
10
01
10
00
00
11
00
00
10
10
01
00
11
10
00
00
10
00
00
00
10
11
00
10
00
00
10
10
10
00
10
00
00
00
10
00
00
10
00
11
11
11
10
01
01
10
10
00
11
10
00
00
11
00
00
10
00
00
11
00
10
10
11
00
11
10
01
10
11
10
10
00
11
10
00
11
10
10
01
11
01
00
10
10
00
10
00
00
10
11
10
10
00
10
00
10
10
01
01
11
01
11
10
10
10
11
00
00
10
10
00
00
01
01
00
01
11
00
01
10
10
10
10
00
10
10
01
00
00
00
01
11
00
10
10
10
11
01
00
00
10
10
10
00
01
00
11
11
10
00
00
00
11
10
01
10
01
01
01
11
10
00
00
10
10
00
00
10
10
10
10
01
10
00
00
00
00
11
01
11
10
11
00
10
10
11
01
00
00
10
00
10
11
00
00
00
11
10
10
10
01
01
00
01
10
10
00
00
10
10
00
01
10
11
00
01
01
01
00
10
00
00
10
11
01
00
10
00
10
01
11
00
10
10
11
10
01
11
01
00
00
01
11
01
10
00
00
10
00
00
10
10
11
10
11
01
00
00
00
10
10
11
01
11
11
01
10
10
00
00
01
01
11
00
10
00
00
00
11
10
01
11
10
01
11
01
11
10
00
00
01
10
01
01
11
11
00
11
00
01
10
00
00
11
00
00
10
10
01
11
00
00
10
11
10
11
10
00
10
10
10
10
00
10
00
00
11
00
10
11
00
10
00
10
01
00
01
00
10
10
11
11
00
01
00
00
10
10
11
10
00
00
01
01
01
10
00
10
11
11
00
00
10
10
11
00
00
10
01
00
10
11
10
11
10
11
10
00
01
11
11
00
00
10
11
01
01
00
11
10
00
10
10
10
00
00
10
01
00
10
10
01
01
10
00
10
10
00
01
10
11
11
00
00
11
00
00
11
01
00
10
01
11
10
00
00
00
01
11
10
11
01
00
10
01
01
10
10
00
00
10
10
01
11
10
11
10
10
11
10
00
00
01
10
10
10
00
01
10
11
11
00
10
10
10
01
01
11
11
01
10
10
10
11
00
00
10
11
00
10
11
01
10
01
10
00
00
00
00
11
00
00
10
01
00
10
00
10
10
10
01
00
00
11
10
00
10
10
01
10
00
10
01
01
00
01
11
01
01
00
11
01
00
10
01
00
11
01
00
11
10
10
01
00
10
10
01
01
01
01
01
11
11
10
10
00
10
10
01
00
10
10
11
00
10
10
00
00
10
01
10
00
10
00
11
00
10
00
10
10
00
10
10
11
00
01
00
01
10
11
00
01
00
10
01
00
10
10
01
00
10
10
10
00
00
01
10
01
00
11
00
00
11
10
10
00
10
10
00
01
01
10
11
00
00
10
10
11
00
01
00
11
10
10
11
11
10
00
00
00
10
10
00
00
01
10
11
00
00
11
00
00
10
10
10
10
00
01
10
10
01
01
11
10
01
01
01
01
00
10
10
00
10
00
10
11
11
01
10
00
11
11
00
00
11
01
11
10
00
10
00
01
10
00
11
10
01
11
10
00
00
10
01
01
01
00
00
10
10
00
10
11
00
00
10
00
11
00
00
10
10
01
00
01
00
10
10
01
10
01
00
10
10
01
10
10
01
01
10
00
00
11
01
10
10
00
10
11
10
00
10
11
11
01
10
10
00
00
00
01
00
10
11
00
10
00
00
01
10
10
01
00
10
00
00
10
10
10
00
10
10
10
10
10
00
01
11
11
00
01
11
01
11
00
00
01
10
10
00
11
11
10
11
01
10
00
01
10
11
10
10
10
10
01
00
10
11
00
00
10
00
00
00
10
10
01
10
11
10
10
00
11
10
00
00
11
10
10
10
00
10
11
01
01
00
10
10
10
00
01
01
10
11
10
00
11
10
00
00
10
11
00
10
11
01
10
11
00
01
11
01
11
10
10
00
00
10
01
01
10
00
00
10
10
00
10
01
00
00
00
11
01
01
00
01
10
00
10
11
10
00
01
10
00
00
11
10
00
00
00
11
10
00
11
11
10
10
10
00
00
10
10
10
00
01
01
00
10
10
11
10
00
00
00
10
11
10
00
10
10
10
11
10
10
00
01
01
11
01
00
00
00
10
01
00
11
10
10
00
00
00
01
00
10
10
00
00
10
11
10
11
10
10
01
00
10
11
11
01
11
11
00
00
01
10
10
01
00
01
01
11
10
00
00
11
11
00
00
10
10
00
00
00
10
11
00
10
11
00
00
01
00
00
10
00
10
11
01
00
11
00
11
10
10
01
01
11
10
10
00
10
10
11
11
10
00
10
10
00
10
00
01
00
10
10
10
11
10
01
00
10
11
10
10
10
11
01
10
00
10
00
00
01
11
10
00
01
10
01
10
00
10
11
10
10
11
00
00
10
11
10
11
10
00
01
10
10
01
10
10
00
00
10
11
10
00
00
10
11
10
10
00
00
10
01
01
11
01
01
00
10
11
00
01
11
01
00
10
11
11
00
00
11
00
10
10
00
00
11
10
01
01
10
10
00
10
00
10
11
00
11
10
10
11
10
11
11
00
00
10
10
00
10
10
00
00
00
10
00
10
00
00
10
11
10
00
11
01
10
11
00
00
00
10
11
00
11
11
10
10
10
01
10
10
10
11
11
00
00
00
00
10
10
00
00
10
11
00
10
10
00
00
01
11
11
11
11
00
11
10
00
10
00
00
10
00
01
01
10
10
10
00
01
10
01
11
10
10
01
01
00
01
11
00
00
00
00
10
10
10
00
00
10
00
11
10
11
01
10
11
10
11
00
00
10
10
10
00
00
10
10
01
11
10
00
10
00
01
00
11
10
01
10
00
10
10
00
00
10
10
10
00
01
00
11
10
01
11
10
10
00
00
11
00
01
10
01
10
10
00
10
00
11
11
00
10
11
01
01
10
10
00
10
00
10
10
01
00
10
11
10
00
10
01
00
01
10
01
10
10
00
00
00
11
00
00
01
11
00
10
10
10
01
11
10
10
00
00
01
00
00
11
11
00
01
10
11
00
10
11
10
00
00
10
00
01
11
10
00
01
00
10
00
00
11
00
01
10
00
00
01
10
10
01
01
10
00
11
00
00
01
10
10
11
00
10
11
01
10
00
00
01
00
10
10
11
11
01
00
01
00
01
10
10
01
10
00
01
10
00
00
11
10
10
00
00
00
00
11
00
10
10
00
11
01
00
00
10
00
10
10
10
10
00
01
01
00
00
11
00
00
11
00
00
10
10
00
00
10
00
10
10
01
01
10
00
10
11
10
10
00
01
00
10
00
10
00
10
00
00
10
11
10
01
00
01
10
11
10
00
10
10
00
10
01
01
11
11
01
01
00
10
10
00
00
11
00
10
00
10
10
00
00
11
10
00
00
10
00
10
11
00
01
00
11
00
00
00
00
11
10
10
00
10
01
10
11
00
00
00
10
11
01
00
10
10
00
10
11
01
01
11
01
00
00
00
10
10
00
10
10
11
00
10
00
00
10
00
00
11
10
01
00
11
00
00
00
00
10
10
11
00
10
00
11
00
10
00
01
01
00
01
10
11
00
01
10
01
10
11
01
00
00
11
10
01
11
11
00
01
11
00
00
11
10
00
10
11
00
01
00
10
10
01
11
10
10
00
10
11
00
00
00
10
00
01
00
01
11
01
00
10
11
10
10
11
00
01
10
10
11
00
01
00
00
11
10
00
10
00
00
00
10
00
10
00
11
01
10
11
00
11
00
11
10
11
10
01
00
10
00
11
00
01
01
10
10
00
00
01
00
11
10
01
10
11
00
01
01
11
10
10
10
00
00
00
10
11
00
00
00
01
10
11
00
01
10
10
01
11
10
00
10
10
00
00
11
10
00
10
01
00
01
11
01
10
11
00
00
01
00
10
00
00
10
11
10
00
00
01
10
10
01
11
10
10
11
00
10
11
11
01
00
10
00
11
01
10
10
01
10
01
01
00
11
01
01
01
00
00
11
10
01
10
10
00
01
11
00
10
10
00
10
01
11
00
10
00
11
10
10
10
10
00
00
11
10
00
00
10
11
10
11
10
10
10
10
01
00
00
10
10
11
01
00
10
10
01
10
00
10
01
10
01
10
10
10
00
10
00
10
10
11
00
11
00
10
01
00
11
10
11
00
11
00
10
10
00
00
11
10
10
10
00
00
11
00
10
10
01
11
00
11
11
00
10
01
00
01
10
10
00
00
10
01
11
10
00
00
00
01
10
00
01
11
00
11
01
10
01
10
00
01
00
00
00
00
10
00
01
11
11
11
10
01
00
10
00
01
00
11
00
01
11
00
01
10
11
10
01
01
10
10
01
00
01
11
10
11
00
10
10
11
00
10
10
00
00
10
00
00
10
01
11
00
10
10
11
10
00
01
11
10
01
10
11
01
01
10
10
10
01
10
00
11
01
01
10
11
10
00
01
00
00
10
00
00
10
00
00
11
01
10
01
00
10
00
10
00
10
11
00
10
10
00
01
00
10
10
00
11
10
10
01
00
01
10
10
10
00
10
01
00
11
10
00
11
00
10
00
01
10
01
01
10
00
10
10
00
10
00
10
01
11
11
11
00
10
10
00
00
11
10
00
00
10
00
10
10
01
10
00
01
11
00
11
10
11
11
11
10
00
11
11
10
00
10
11
10
10
11
00
01
10
00
00
00
10
10
00
01
00
11
10
11
10
00
10
01
00
10
10
00
00
10
10
11
11
11
10
01
01
10
00
00
01
10
11
00
10
10
01
01
11
00
00
01
01
10
11
00
00
10
10
11
10
01
00
10
10
00
10
10
10
01
01
10
10
10
11
11
10
10
00
00
11
10
00
01
00
00
00
00
10
00
11
00
10
10
01
10
10
11
10
00
00
00
10
00
11
00
11
10
00
10
00
10
00
10
10
11
10
00
10
01
11
11
01
00
01
10
01
10
11
00
00
00
10
10
01
10
10
10
10
00
10
11
00
01
11
10
10
01
10
10
01
10
10
00
00
00
00
10
11
10
10
00
10
01
11
00
00
10
00
10
00
10
10
11
00
11
00
00
11
10
00
00
11
11
10
00
00
00
11
11
00
00
10
10
00
00
00
11
10
01
00
11
10
01
11
10
01
00
00
10
11
10
01
01
10
01
00
10
00
00
10
00
10
10
01
10
11
00
10
10
10
10
10
10
01
10
10
00
11
10
00
01
00
10
10
00
11
10
00
00
01
01
10
11
10
01
00
11
00
00
11
11
00
01
10
10
00
00
01
11
10
00
10
10
10
11
10
10
11
00
10
10
00
01
01
00
00
00
10
00
00
10
10
10
00
00
01
10
01
10
00
10
10
00
11
10
00
10
10
11
10
10
00
00
00
10
10
11
10
01
10
00
10
00
10
00
00
10
00
10
00
00
10
00
10
11
10
01
11
00
10
10
00
10
01
00
11
11
00
10
00
00
00
01
00
10
01
00
10
11
10
10
01
01
00
10
10
01
00
11
10
01
10
10
11
00
11
11
10
01
00
11
00
10
10
00
10
11
10
00
01
01
11
10
10
11
10
11
01
10
01
00
00
10
01
11
11
00
10
11
10
11
00
00
10
10
00
11
00
01
11
10
11
00
10
01
10
10
00
00
11
10
10
10
10
00
00
00
01
00
10
00
11
10
11
00
11
00
01
11
01
00
10
00
11
00
10
01
00
10
00
10
00
01
00
10
11
00
01
00
01
00
10
11
11
01
01
01
10
10
00
01
00
00
11
10
00
10
10
00
11
10
10
00
10
00
00
01
00
00
10
00
11
01
10
11
01
11
10
00
00
11
10
00
00
10
11
00
01
10
01
00
10
11
01
00
10
10
01
10
10
01
00
00
10
10
10
01
10
00
00
00
10
00
10
10
01
10
01
10
01
01
00
10
10
11
11
00
00
11
00
00
10
00
10
00
10
10
00
00
10
11
10
00
11
10
01
00
00
11
10
10
01
00
00
00
01
11
11
10
10
00
11
00
10
00
00
10
10
11
00
11
00
10
11
10
11
10
01
00
00
11
10
00
00
00
10
00
10
10
00
01
00
10
00
01
00
10
11
01
10
10
10
01
00
00
11
11
11
01
01
00
10
00
01
01
10
10
01
10
00
11
00
10
00
00
11
10
00
01
10
10
01
10
11
00
00
10
00
00
10
10
00
01
01
11
11
00
10
00
10
01
00
10
11
01
11
00
00
11
01
00
10
00
10
10
01
00
00
00
10
10
11
00
10
11
00
00
10
11
01
01
10
00
00
01
10
01
00
00
11
10
00
01
10
00
01
10
10
10
00
01
11
11
01
10
10
10
10
11
10
00
00
00
00
00
00
10
10
00
00
10
10
10
11
00
10
00
10
11
00
10
10
00
10
10
11
01
10
10
11
00
10
00
00
00
11
11
00
11
01
10
11
00
00
10
11
00
11
00
11
10
11
11
00
10
00
00
10
00
10
10
00
00
00
00
11
00
01
10
00
10
01
00
11
10
01
00
11
10
00
00
11
10
01
00
11
00
10
10
00
10
11
11
00
11
11
10
11
01
01
10
00
00
01
11
10
01
00
10
00
01
11
10
00
00
01
00
00
10
10
11
10
00
00
01
10
00
00
00
00
00
10
00
11
10
00
00
01
10
11
01
11
11
10
01
00
01
10
00
00
11
00
00
00
11
00
00
01
01
11
10
10
00
01
10
10
00
01
10
01
00
10
01
10
10
10
00
00
10
10
00
10
01
01
00
00
00
00
10
00
10
10
00
10
10
00
10
10
01
11
10
01
10
10
01
10
00
11
01
10
10
00
10
11
11
01
10
10
01
10
00
00
01
10
01
11
00
00
01
01
10
01
01
10
00
11
00
10
01
01
00
10
11
00
00
00
00
10
10
00
00
10
01
01
01
10
10
00
10
00
00
11
00
11
11
01
11
01
10
10
00
00
00
10
11
11
11
00
10
00
10
00
01
11
00
10
00
01
10
01
00
11
10
11
00
11
10
01
01
10
10
00
10
00
01
10
00
11
10
01
10
00
10
10
00
00
00
10
10
10
10
00
01
00
10
11
11
01
00
00
10
10
10
00
01
11
11
10
01
11
00
10
10
00
00
10
10
00
01
10
10
11
00
10
10
10
01
10
10
00
10
00
00
10
10
11
01
00
00
11
00
01
10
11
10
00
00
01
01
11
11
01
11
00
00
01
10
10
00
00
00
10
10
00
00
10
00
10
10
00
00
01
10
10
10
00
10
01
10
10
10
01
01
10
01
01
10
11
11
11
00
00
01
01
10
10
00
01
10
10
10
10
00
00
00
01
10
10
01
01
00
10
11
00
01
01
11
01
00
00
00
01
10
10
00
00
11
10
01
00
10
10
00
11
10
00
00
01
00
11
00
10
11
00
01
10
00
00
00
10
10
00
01
10
00
01
11
11
10
01
00
11
00
10
10
00
00
10
01
11
00
10
00
10
00
00
10
00
00
10
00
11
10
10
00
00
10
10
10
11
00
00
01
11
00
10
10
01
10
11
00
10
11
00
11
11
10
01
11
10
00
01
10
10
11
01
00
11
00
00
10
00
10
10
01
10
00
10
01
11
10
01
00
10
10
00
10
10
00
01
01
00
01
00
11
01
00
10
00
11
10
00
00
00
00
10
01
00
10
10
10
10
00
10
10
01
10
00
10
01
01
01
11
10
10
01
10
11
01
00
10
10
00
00
10
00
10
11
00
10
10
00
00
10
01
11
11
10
01
00
10
01
00
10
10
00
00
01
10
11
10
00
11
10
00
10
00
00
00
01
10
01
01
11
00
10
10
00
10
11
00
00
11
11
00
00
01
00
11
01
11
01
10
00
00
00
11
11
01
00
11
00
00
10
00
00
10
11
00
01
10
10
10
10
01
00
10
10
00
10
00
01
10
00
01
11
00
00
01
11
11
10
00
10
10
10
10
10
10
11
00
01
01
01
01
00
00
10
11
01
00
01
10
10
10
11
00
10
00
00
00
10
10
00
00
11
11
10
10
01
00
11
11
00
01
00
11
10
00
10
10
00
00
11
11
10
00
01
10
00
00
01
00
00
01
10
10
11
10
10
00
10
11
10
00
10
01
10
10
01
10
10
00
10
00
11
11
00
00
10
00
10
10
10
00
11
01
01
00
10
10
10
00
00
11
10
00
11
00
00
11
10
01
00
01
10
00
10
00
00
00
11
10
00
10
11
01
11
01
01
11
11
10
00
00
10
10
00
01
10
11
10
10
00
00
11
10
00
01
10
00
10
10
01
11
11
11
10
00
10
11
00
00
00
10
00
01
10
10
00
10
11
10
00
00
00
00
10
10
10
00
01
10
01
10
10
11
00
01
11
11
10
01
01
00
00
10
01
00
11
10
10
11
00
00
00
11
11
10
00
10
10
11
10
00
10
11
11
00
10
10
10
01
00
01
01
11
01
00
10
10
01
00
11
11
11
00
10
00
00
10
11
00
00
10
10
00
00
01
10
00
10
00
00
00
00
10
01
00
10
01
10
11
00
11
11
01
00
10
01
00
00
01
10
10
01
00
10
10
00
00
10
01
01
00
11
00
00
00
10
11
10
00
01
10
00
10
00
11
11
11
01
11
01
11
11
01
01
10
11
00
01
10
10
00
01
11
00
10
11
00
11
10
00
00
11
11
11
10
01
00
11
10
10
01
00
10
10
10
00
11
10
00
00
10
10
00
01
10
00
01
10
00
11
00
10
10
00
10
01
10
01
10
11
01
00
01
10
11
10
10
00
11
11
00
00
10
10
10
10
00
00
01
10
01
00
01
10
01
01
00
10
10
00
01
00
01
10
00
01
10
10
00
00
10
10
00
00
11
00
00
10
10
10
00
10
10
10
10
10
10
01
00
00
11
10
01
00
10
11
00
10
11
10
11
01
00
00
10
10
01
10
11
01
00
10
10
11
00
10
10
00
11
10
11
01
00
01
10
10
10
01
01
00
10
11
00
10
10
10
00
01
10
00
00
00
00
10
10
10
01
10
10
01
11
01
10
01
00
00
00
10
00
01
10
10
00
10
00
00
00
01
10
11
10
00
10
11
00
10
00
00
10
10
10
10
00
00
00
00
10
11
00
00
01
10
10
11
11
10
00
01
10
00
11
11
00
00
10
10
11
01
00
01
00
11
11
10
10
01
00
00
11
11
00
10
10
00
01
10
10
10
00
10
01
10
11
00
00
11
01
00
00
11
10
00
00
10
01
00
11
10
10
00
10
10
00
01
10
00
00
10
01
10
01
00
10
01
01
10
10
01
01
01
11
00
10
00
10
10
11
00
01
10
00
10
00
01
11
10
00
00
01
10
01
10
00
00
00
00
01
00
11
10
10
10
10
00
01
00
10
10
00
00
10
00
01
11
10
01
00
10
10
10
11
00
01
00
01
00
10
00
00
10
10
10
01
11
10
00
10
10
00
10
11
01
01
10
00
10
10
00
10
10
00
11
00
11
10
00
10
00
10
10
10
00
11
00
00
00
00
00
10
10
00
00
10
11
10
00
00
01
10
01
00
01
00
00
01
01
11
10
00
10
10
11
00
00
11
10
01
00
11
10
00
10
11
11
01
01
10
10
11
00
00
00
10
10
01
00
10
01
10
11
11
10
00
00
10
10
00
10
10
10
00
00
10
10
00
11
01
00
10
10
01
00
00
00
00
10
01
11
11
00
00
00
10
00
11
11
00
00
10
01
10
10
10
10
00
11
01
10
00
01
10
00
10
00
10
01
10
00
11
11
01
10
11
01
01
10
00
01
11
10
10
01
10
10
01
00
01
10
00
00
00
11
00
10
10
10
01
10
01
00
10
11
11
10
10
10
01
10
10
00
00
10
10
10
00
00
10
10
11
10
10
11
11
10
10
00
10
10
10
11
01
00
10
00
10
01
11
00
10
10
10
00
01
10
10
00
00
00
11
10
11
00
10
00
00
00
01
01
10
10
10
01
10
11
00
01
01
11
00
01
10
11
00
01
11
11
00
00
01
10
11
00
00
11
11
00
10
11
00
00
10
00
00
00
10
10
01
00
10
01
10
11
00
00
00
10
11
11
00
00
10
11
00
00
00
10
11
01
10
10
00
00
10
10
00
00
01
10
11
10
01
10
01
00
10
10
00
00
11
01
00
00
10
00
10
10
10
10
00
00
00
01
10
00
01
10
10
00
00
11
01
10
10
01
10
10
01
11
00
11
11
00
01
01
11
10
11
00
00
00
10
00
00
11
10
01
11
00
00
01
01
11
00
00
01
10
10
01
00
00
10
10
10
01
10
11
00
01
11
10
00
01
00
11
00
01
00
10
11
01
01
00
11
11
10
00
10
00
01
11
10
01
10
01
11
11
11
10
00
00
11
01
11
10
10
00
00
00
01
00
11
00
00
00
11
00
00
00
00
00
00
01
01
11
10
00
00
00
10
00
10
11
10
01
10
11
10
00
10
10
00
00
10
11
11
11
00
01
00
01
11
11
10
11
01
01
00
10
00
00
10
10
01
00
00
10
00
00
10
10
10
01
10
10
10
00
00
00
10
10
01
10
11
10
00
00
11
01
01
11
11
00
10
10
00
00
00
10
10
10
11
11
01
00
11
11
10
10
10
00
01
01
00
10
01
00
10
00
01
10
01
00
10
10
01
10
00
00
10
11
00
00
10
00
10
01
01
10
10
00
01
11
11
10
11
00
10
00
10
01
00
00
10
00
01
10
11
10
01
11
00
00
00
00
01
11
00
11
11
00
00
10
10
00
01
10
10
10
10
01
10
11
00
01
11
10
11
00
10
00
10
10
00
00
11
11
00
11
11
00
00
10
10
00
01
00
00
10
11
10
01
10
11
00
10
10
00
10
00
11
11
10
10
10
00
11
10
00
01
10
10
01
10
11
10
00
00
00
10
10
01
10
11
01
11
11
00
00
10
01
00
00
10
10
00
10
10
00
10
00
10
10
01
01
10
10
00
00
10
11
01
01
10
01
10
10
00
00
10
11
00
00
00
01
10
00
10
10
00
00
01
00
10
01
01
01
11
10
00
00
10
11
00
10
10
10
01
11
11
11
00
11
10
00
01
11
11
00
00
00
01
10
11
00
01
10
11
01
00
01
10
10
01
00
11
01
10
00
10
11
01
11
10
11
01
00
00
10
01
01
00
10
10
10
00
00
00
10
11
01
01
00
11
11
10
00
10
11
01
01
11
01
11
10
10
10
00
11
11
00
10
00
00
10
10
01
11
10
00
10
10
00
00
01
10
11
00
11
00
10
01
00
00
01
10
10
10
10
10
00
00
11
00
10
00
10
00
10
00
00
00
11
00
00
00
10
10
01
10
00
00
10
01
10
01
00
00
10
10
10
11
10
10
11
00
00
00
01
10
10
11
00
01
11
11
10
00
01
11
00
00
01
10
10
00
01
10
10
10
10
00
00
10
01
10
00
11
00
11
10
11
10
00
00
01
11
00
10
01
10
00
00
10
00
01
11
11
10
11
01
10
10
10
00
00
11
10
01
10
10
10
11
00
00
01
11
00
11
01
00
11
00
00
11
01
01
10
00
00
10
10
11
10
00
10
00
00
10
00
00
10
10
10
00
00
10
00
10
10
01
01
00
10
00
10
11
00
10
10
00
10
01
00
11
10
01
00
00
01
11
10
00
10
11
11
00
00
10
11
11
00
00
10
11
10
10
11
00
00
10
11
10
10
00
10
10
01
00
10
00
01
10
10
11
00
01
10
11
10
01
11
00
10
10
00
11
01
00
11
00
11
00
01
00
00
00
10
00
01
10
00
00
00
00
01
00
10
00
01
11
11
10
01
10
10
11
01
11
10
10
00
01
10
11
10
00
00
11
11
00
01
10
11
00
10
11
10
11
00
00
00
10
10
01
01
00
11
00
00
11
10
10
10
00
00
10
01
00
00
11
00
11
10
01
01
10
10
10
00
00
00
10
10
11
00
01
00
01
01
10
01
10
10
00
11
00
00
10
10
10
10
11
00
00
10
10
00
00
11
00
00
11
00
10
10
10
00
01
10
11
10
10
10
10
00
00
00
10
10
10
10
11
00
00
10
10
00
10
01
10
00
00
10
10
01
00
11
00
01
10
01
10
10
00
00
00
10
10
01
01
10
01
01
10
11
00
11
11
01
11
10
00
00
11
00
10
01
00
10
11
10
01
11
00
00
00
10
00
00
11
01
11
11
11
01
10
00
00
11
10
00
10
10
10
00
10
00
11
11
01
11
11
00
00
00
01
00
10
10
01
00
10
01
10
00
00
01
01
10
10
10
10
00
10
11
00
11
00
00
10
10
10
01
01
10
01
00
10
00
10
11
00
00
01
00
10
00
01
11
11
10
01
10
10
00
00
01
10
11
00
10
11
01
10
10
01
01
10
10
00
00
00
10
10
10
10
11
00
11
10
10
11
00
01
01
10
11
01
01
00
01
00
00
10
11
01
10
00
00
11
10
01
00
10
10
11
00
00
10
10
01
01
10
10
00
11
10
00
01
00
00
10
11
10
00
10
10
10
00
00
01
10
11
10
11
11
10
00
00
10
00
10
11
00
00
11
10
01
00
11
10
11
00
00
10
00
01
10
10
11
00
10
11
00
01
10
10
10
00
00
10
11
00
11
01
01
11
10
10
10
00
00
10
00
10
00
00
00
11
10
11
10
00
10
01
10
11
00
01
10
11
00
10
01
01
00
11
10
01
00
00
11
11
10
00
10
00
10
10
01
10
00
01
01
00
00
01
10
00
00
00
11
00
01
10
11
00
11
10
00
00
10
00
00
10
10
00
01
10
11
10
01
00
11
00
10
10
00
10
10
00
00
10
11
10
10
00
00
11
00
01
10
11
10
00
00
00
00
00
10
11
10
10
11
00
00
11
11
10
01
00
00
10
00
00
10
00
10
01
00
11
11
00
11
10
10
00
01
10
11
11
10
11
00
00
10
01
01
11
10
11
00
00
01
11
00
00
10
10
01
11
00
10
10
10
00
11
11
10
10
00
00
00
01
01
01
10
10
11
00
00
00
11
10
10
00
00
01
11
00
01
10
00
01
10
01
11
00
10
01
00
10
10
10
00
00
11
10
10
01
00
00
10
10
01
11
01
10
11
00
00
01
10
11
10
10
00
00
10
01
10
10
00
01
11
00
11
10
11
00
01
10
00
01
10
00
00
01
11
00
01
11
01
00
10
11
00
10
00
00
10
10
00
01
00
00
10
11
11
00
10
11
00
01
11
00
01
10
10
01
00
11
00
01
11
00
10
01
00
00
00
00
11
10
00
11
00
00
00
10
00
10
11
01
10
10
00
00
10
10
10
10
00
00
11
10
01
00
10
00
00
01
10
10
00
00
11
10
11
11
00
11
01
10
01
10
10
00
01
10
10
01
00
10
10
00
00
10
01
01
11
01
11
10
10
11
10
10
00
00
10
11
00
00
00
10
01
10
00
01
10
11
00
00
11
00
00
00
10
11
00
00
10
10
00
01
10
11
11
00
01
00
10
10
00
00
10
10
01
10
10
00
10
10
10
11
10
11
00
00
10
11
01
01
01
01
10
10
11
10
00
10
00
01
00
00
10
10
11
10
01
00
11
11
10
11
11
11
00
01
00
01
10
01
11
10
10
00
00
10
10
00
10
10
10
11
01
11
10
01
10
10
00
10
10
00
10
00
01
10
00
01
01
01
01
00
10
11
00
10
10
10
00
00
11
00
00
10
11
11
01
11
11
10
10
11
00
00
00
10
10
11
11
01
10
10
01
01
01
10
10
00
10
11
00
00
00
10
01
00
10
01
10
01
00
10
00
10
01
10
11
00
00
11
10
00
11
10
00
00
01
10
10
00
11
00
00
01
01
00
10
10
00
00
11
01
01
11
11
10
00
11
10
00
10
10
10
00
10
00
00
11
10
10
01
01
10
01
11
01
00
10
00
10
01
11
10
00
10
00
10
11
10
00
00
00
10
10
11
01
01
00
10
10
10
11
00
00
11
10
01
11
01
10
10
01
00
01
10
10
00
00
10
01
10
11
11
01
10
10
00
10
10
01
00
10
00
01
11
00
00
00
10
00
10
10
00
00
11
01
01
10
11
00
11
10
10
01
00
10
11
00
00
01
10
01
00
10
11
10
00
10
11
00
00
00
00
01
01
11
10
10
01
00
11
01
00
11
10
10
00
10
10
01
10
01
00
10
10
10
01
10
01
00
10
10
11
00
10
00
00
10
00
10
11
01
11
11
00
10
00
00
11
00
00
11
10
01
01
10
01
00
11
10
00
00
11
10
01
10
01
00
01
11
10
00
00
10
10
01
00
00
11
10
11
10
10
01
00
00
01
00
11
10
01
00
01
11
01
10
01
00
11
11
11
00
00
11
11
11
00
10
00
01
00
10
10
01
01
10
00
00
11
11
00
10
01
10
01
10
10
01
00
01
10
10
00
10
11
00
10
10
10
00
00
10
01
10
11
10
10
00
01
00
01
01
10
00
10
10
00
10
00
10
10
10
11
00
01
00
10
00
10
10
10
00
00
00
10
01
01
00
10
10
00
00
10
10
00
00
11
00
01
00
01
10
11
11
00
00
00
00
11
00
10
11
01
00
01
10
11
00
01
10
01
11
01
01
00
00
10
11
00
10
11
10
11
00
11
10
10
00
00
00
00
00
10
10
10
11
10
00
00
11
10
00
10
01
00
10
00
11
10
00
00
10
10
00
10
10
10
11
01
01
10
10
00
01
11
10
00
01
11
01
11
11
00
00
10
01
11
10
10
00
01
11
00
00
11
10
00
10
10
10
00
00
00
01
10
10
00
00
10
11
00
10
00
00
10
10
00
01
00
10
00
00
10
00
00
01
10
10
10
00
10
10
11
01
01
10
10
10
01
01
01
10
10
01
00
00
01
11
10
10
00
10
10
11
01
01
10
00
11
10
10
10
11
01
10
10
01
01
10
10
00
11
10
00
10
01
00
10
10
01
00
00
11
10
00
01
10
11
00
00
10
10
11
01
00
11
00
10
11
00
10
01
00
11
00
00
00
00
10
10
00
00
10
00
00
01
00
01
01
00
00
00
10
11
11
00
00
00
10
10
11
00
10
01
10
01
01
11
00
00
10
00
01
10
10
00
00
00
01
10
10
01
11
00
11
00
01
10
01
10
10
00
01
10
00
00
11
10
10
10
01
00
10
00
00
10
10
10
01
11
01
01
10
01
10
01
11
11
00
00
10
10
10
11
00
00
00
10
10
10
00
11
00
11
00
00
10
10
11
00
00
11
01
10
11
00
01
10
10
00
11
11
01
10
00
00
10
11
10
11
00
00
00
11
10
00
00
11
00
00
00
01
10
11
00
00
00
00
11
11
10
00
01
11
00
10
00
10
10
11
10
10
01
00
11
10
00
10
00
00
10
10
10
00
00
10
01
10
10
10
10
10
00
11
01
00
11
00
00
11
11
00
00
00
11
11
10
10
10
00
00
10
00
10
01
10
10
00
10
00
00
10
10
00
11
00
01
10
10
10
10
00
10
10
00
00
01
10
00
00
00
01
00
10
10
10
01
11
00
10
10
11
00
10
00
10
00
01
10
00
10
10
10
00
10
11
00
11
00
01
00
00
10
00
00
11
10
00
00
11
00
10
00
01
01
00
00
11
10
00
11
11
10
01
11
01
10
10
10
11
11
01
00
10
00
11
00
01
11
11
01
00
11
00
00
00
00
11
10
01
00
00
11
01
10
10
00
10
00
00
00
00
01
00
11
11
01
10
11
10
00
00
10
10
00
11
10
00
11
00
10
10
01
00
10
10
01
11
00
11
10
01
00
00
10
00
11
01
00
11
00
00
10
10
11
00
01
00
11
01
00
00
10
00
01
11
00
11
11
00
00
00
00
01
00
01
11
11
00
10
11
01
00
10
00
10
00
00
11
10
01
00
00
10
00
00
10
00
00
10
10
01
10
11
10
00
11
10
00
10
01
01
11
00
01
00
11
00
01
10
11
00
01
00
11
00
01
00
10
10
00
00
10
10
11
10
00
00
10
01
01
10
10
10
00
00
00
10
00
01
10
11
11
11
10
01
10
11
11
01
00
11
00
01
00
11
01
11
00
00
00
10
10
10
00
00
11
01
01
10
11
00
00
01
10
10
10
00
01
01
10
10
10
00
10
00
01
11
00
11
10
10
10
11
01
10
00
11
11
01
00
00
10
10
10
10
00
00
11
11
01
00
01
10
01
10
00
00
11
10
00
00
11
10
10
01
00
11
10
11
00
10
00
10
01
10
01
01
10
00
10
11
00
10
11
10
10
00
00
00
00
00
11
10
01
00
00
10
10
10
00
11
00
11
11
10
00
00
10
00
00
10
10
10
00
00
00
00
01
11
00
10
10
10
00
01
11
00
10
10
01
11
10
11
10
01
01
11
10
01
01
10
10
00
00
10
00
10
01
11
10
10
00
00
00
00
10
10
01
10
11
01
10
01
00
11
10
00
00
10
00
01
01
10
01
01
00
01
11
00
11
10
01
10
00
00
00
10
10
01
00
11
00
00
11
10
01
11
10
00
01
01
10
00
00
00
10
10
10
11
00
10
10
10
00
00
11
00
01
01
10
10
10
00
00
00
11
10
00
00
01
10
11
10
11
00
10
00
00
00
10
10
00
11
00
00
00
00
10
10
10
11
10
00
01
10
00
11
00
11
00
01
11
10
01
01
10
10
10
00
00
01
10
01
10
11
01
01
01
11
11
00
11
11
00
10
10
00
00
00
10
00
00
10
00
01
10
01
00
01
10
00
10
00
00
11
01
01
00
10
00
00
00
00
11
10
11
10
00
11
00
01
10
01
00
00
10
10
00
00
01
01
10
10
00
10
01
00
00
10
01
00
00
00
10
00
10
10
10
11
00
00
00
01
10
11
01
01
00
01
00
00
11
10
00
00
00
10
00
01
10
00
10
10
11
10
10
01
01
11
10
00
00
10
00
00
01
10
10
10
00
11
11
10
10
00
01
11
11
11
10
10
00
10
10
00
00
10
10
00
10
01
11
10
00
00
10
10
10
00
00
00
00
01
11
10
01
10
11
00
01
10
00
01
00
01
11
01
11
11
10
00
00
10
00
10
01
01
10
11
00
00
00
11
10
10
00
00
10
00
10
00
11
00
00
10
11
01
01
10
00
10
10
11
01
00
11
10
00
01
00
11
10
11
10
10
00
10
10
00
00
00
00
11
01
00
00
10
00
10
00
01
11
01
10
10
10
01
01
10
11
00
00
10
01
01
10
00
00
01
00
01
00
10
10
00
10
01
10
10
00
11
11
10
10
00
00
11
00
01
10
11
10
10
01
00
11
11
10
00
11
00
00
01
11
10
00
01
01
10
00
00
10
11
00
00
10
11
00
00
11
10
00
00
00
00
00
11
10
01
00
10
10
01
00
01
00
10
11
10
11
01
01
11
11
01
11
00
01
00
00
10
10
00
11
00
01
00
11
10
00
11
10
00
10
01
00
10
10
11
10
10
10
11
10
00
00
00
01
01
11
11
10
10
00
10
11
11
01
00
11
11
10
11
00
00
11
10
00
00
11
00
10
10
10
10
00
00
01
10
11
01
10
11
00
11
10
00
11
01
00
10
10
10
11
00
00
00
10
01
11
00
00
11
00
00
00
10
00
01
10
01
00
11
10
10
00
10
10
01
10
00
10
10
00
00
01
00
00
11
00
11
11
10
01
00
00
10
01
00
10
10
01
00
11
10
01
10
11
11
10
01
01
11
00
00
11
01
01
10
11
01
11
00
11
00
01
10
10
10
00
00
11
00
00
10
10
01
10
10
10
11
10
10
00
00
10
11
11
01
00
11
11
10
01
00
10
10
00
00
10
11
01
01
00
00
10
10
10
00
10
00
00
10
01
11
10
10
00
11
00
11
00
11
00
00
00
01
10
10
01
00
01
11
00
00
11
10
10
00
01
10
01
01
11
11
01
10
00
00
10
10
00
01
10
00
01
11
10
01
10
00
01
11
10
11
01
00
00
10
01
01
00
10
10
10
10
10
10
00
00
00
00
00
00
10
00
00
10
10
11
10
01
00
01
00
00
01
00
11
10
11
00
01
00
11
11
00
00
10
11
00
00
00
00
11
01
01
00
00
11
10
01
10
10
00
00
00
10
10
00
00
01
10
10
00
10
10
10
10
00
00
10
00
11
10
01
01
10
11
11
00
10
10
11
00
10
00
00
11
00
01
10
01
00
00
10
11
10
00
00
00
00
10
00
01
10
11
10
00
10
01
10
10
10
00
01
10
10
00
01
00
01
11
10
00
00
00
00
00
10
10
01
00
00
00
00
10
11
01
11
10
10
01
10
00
10
00
11
10
00
10
10
10
00
01
00
01
11
01
10
10
10
01
00
11
00
01
10
00
11
11
10
11
00
01
01
10
01
00
10
10
11
00
01
00
11
10
01
11
10
11
01
00
10
01
00
11
00
01
00
10
11
00
10
11
11
00
11
00
00
00
11
00
11
01
01
11
10
11
10
11
00
11
10
01
11
10
00
00
10
00
00
10
11
10
11
00
00
10
11
00
01
11
10
00
00
11
10
10
01
01
10
10
10
10
00
11
11
01
10
10
10
00
00
00
00
10
10
01
00
00
10
10
11
00
11
11
00
10
10
10
10
00
01
01
10
10
00
10
10
01
11
10
00
00
10
11
00
00
11
10
01
00
00
10
11
00
00
10
10
10
00
01
10
10
00
10
01
01
10
00
10
00
00
00
01
10
01
10
11
00
00
00
01
11
10
00
10
00
10
00
00
10
01
00
00
10
10
01
00
11
10
00
01
10
00
01
10
11
10
00
00
11
01
00
10
10
01
11
11
10
10
00
00
00
10
10
01
00
00
00
11
10
11
10
01
10
10
10
10
00
01
00
10
10
01
00
00
10
10
01
10
11
00
11
00
00
10
10
11
01
11
01
01
11
00
00
10
00
10
11
00
00
10
11
01
10
11
00
11
10
00
00
01
11
11
11
11
11
00
00
00
00
10
10
00
01
10
10
00
00
01
11
01
10
00
00
11
11
11
10
00
01
10
11
10
01
00
01
00
11
10
11
10
10
01
11
00
01
00
10
00
10
10
00
00
10
00
10
00
11
00
11
11
00
01
00
01
10
00
01
00
10
10
10
00
00
10
00
10
10
10
00
01
00
11
11
00
01
10
10
10
10
00
01
11
00
00
00
01
10
10
00
01
00
11
01
00
11
11
11
00
00
10
00
10
10
00
00
10
11
00
00
11
00
00
00
01
10
10
11
00
00
11
10
10
10
10
00
10
00
00
10
01
00
01
01
10
10
00
10
00
00
11
11
00
10
01
10
00
00
10
00
10
00
10
01
00
10
00
10
01
11
10
10
00
11
11
00
00
01
10
00
01
10
10
00
10
10
00
01
10
00
00
10
10
01
00
11
10
00
11
00
00
00
00
10
01
10
00
00
10
10
10
00
00
00
01
01
00
10
00
10
00
10
01
00
11
10
00
10
01
10
10
10
01
10
10
10
01
01
10
11
00
00
00
11
00
11
10
00
10
00
11
00
11
11
10
10
00
01
00
10
10
00
10
00
11
00
00
10
00
01
00
10
10
01
00
11
11
10
00
10
00
11
10
01
01
10
10
11
01
00
10
11
00
01
11
10
10
00
10
10
00
00
00
10
00
01
00
11
10
11
10
00
11
01
01
11
10
00
11
10
01
11
11
00
01
10
10
00
01
00
10
01
01
01
10
10
00
10
00
10
10
10
01
00
01
00
01
10
10
11
10
00
01
00
01
01
10
10
10
01
11
01
00
11
10
00
10
00
00
10
10
00
00
00
00
01
10
10
11
10
01
01
10
11
11
00
00
10
00
11
10
00
10
00
00
10
00
10
10
10
00
11
10
11
11
10
00
00
10
11
10
00
00
10
10
01
00
11
00
10
01
01
00
10
10
01
10
10
00
00
01
00
01
11
11
00
01
10
00
00
10
00
01
01
11
10
11
00
10
10
00
11
10
10
00
10
11
00
01
10
10
00
11
01
00
00
00
01
11
11
10
00
10
10
10
11
00
10
10
10
00
10
11
00
10
11
10
00
11
00
00
00
00
10
11
10
00
01
10
11
00
11
10
10
11
00
00
00
10
10
11
10
01
00
10
10
10
01
11
00
00
00
11
11
00
11
00
11
10
00
10
01
11
11
01
10
11
10
00
00
00
10
10
00
00
01
10
10
00
00
01
11
01
01
10
00
10
00
00
11
11
00
00
00
01
10
10
10
10
11
10
10
00
01
01
10
11
10
10
10
11
00
00
10
00
11
00
10
10
10
10
10
01
10
00
01
10
01
00
01
10
10
00
00
00
00
10
11
11
00
10
11
00
10
00
10
01
01
10
00
11
10
10
10
10
00
10
10
01
11
10
01
11
11
10
10
00
10
11
10
00
00
10
10
01
00
01
10
00
10
11
10
00
00
10
11
11
10
00
00
01
00
00
01
11
11
01
10
00
10
11
00
00
00
10
00
10
11
11
10
01
10
01
11
01
11
11
00
00
01
10
10
01
01
10
00
11
00
00
10
00
10
10
11
00
10
11
10
00
10
00
10
10
00
10
10
00
10
10
10
00
00
00
10
00
10
11
00
00
10
00
10
10
00
10
10
11
00
01
01
00
10
11
00
00
10
00
10
11
01
10
10
00
01
11
10
11
01
11
11
00
00
10
10
00
01
10
10
10
11
00
00
00
11
10
00
00
11
00
01
00
11
10
10
11
10
00
01
10
01
10
10
00
10
10
00
01
10
00
00
10
10
01
10
00
01
10
00
10
01
10
10
11
00
00
00
11
10
10
00
00
01
01
11
10
10
01
00
10
01
00
10
00
10
01
10
01
00
11
00
11
00
10
11
00
00
10
01
00
01
11
11
00
11
10
10
10
01
01
11
10
01
00
00
11
01
00
10
10
10
00
00
10
10
00
10
00
00
00
00
11
00
00
01
00
10
11
11
11
00
00
01
10
10
01
01
11
01
01
10
11
00
00
00
01
10
10
01
10
11
01
10
11
11
01
10
00
01
00
11
10
00
00
00
01
10
00
01
10
10
00
00
10
00
10
10
10
01
01
01
00
10
10
10
10
01
00
10
11
00
11
10
11
00
10
10
11
01
10
00
00
00
11
01
10
10
01
11
10
10
00
01
00
10
00
11
10
00
01
00
10
11
10
00
00
01
10
00
11
10
10
00
00
10
11
00
10
00
01
00
10
10
10
00
10
11
10
11
11
01
00
01
10
00
10
10
10
01
00
00
11
00
10
10
11
10
01
10
10
11
00
00
01
00
10
00
00
11
00
10
01
10
01
01
00
01
10
00
00
00
10
10
10
01
01
00
00
00
11
11
00
01
10
10
00
11
00
10
10
00
11
00
10
00
10
11
01
00
01
10
10
00
00
11
11
01
00
00
10
11
00
10
11
00
10
10
10
00
01
00
10
10
01
10
10
00
00
10
10
10
11
00
01
11
11
01
00
10
10
00
00
00
00
10
00
00
00
00
10
00
11
10
10
00
00
11
11
10
00
11
01
00
00
11
00
10
10
00
00
10
00
10
10
00
01
10
01
00
10
11
10
00
10
10
01
10
11
01
10
10
00
11
10
01
00
11
11
01
00
11
10
01
01
11
00
01
10
11
10
00
11
10
00
10
00
00
01
10
00
00
10
00
10
11
10
11
01
00
00
11
01
01
00
11
00
01
10
01
10
10
00
01
00
10
10
00
10
00
10
10
01
10
00
11
01
00
10
01
00
11
01
10
11
00
10
10
00
01
11
10
00
00
10
01
11
00
01
11
00
10
00
10
01
00
11
10
11
10
00
10
00
00
11
00
10
10
10
10
10
01
00
11
11
10
01
00
01
10
10
10
11
00
00
01
10
00
00
10
10
00
01
01
10
10
00
11
10
10
10
00
00
01
11
00
11
10
10
11
10
01
00
11
10
01
11
10
00
00
11
10
00
00
00
01
11
00
01
00
00
10
00
10
00
00
11
10
11
00
10
01
00
10
10
00
01
10
01
10
00
00
00
00
11
10
01
10
00
00
11
10
11
10
01
00
00
10
10
10
00
01
10
11
10
01
01
10
00
00
11
11
11
10
01
10
00
00
00
00
11
10
01
01
01
00
10
11
10
10
10
00
00
01
00
00
11
10
01
10
10
10
10
10
10
10
01
01
00
10
10
00
11
10
00
11
11
00
00
11
11
11
00
11
00
00
00
10
11
00
10
10
01
00
00
11
10
01
00
01
01
11
11
10
01
00
00
11
00
01
00
00
01
00
10
11
00
00
10
10
10
10
11
01
11
10
00
10
11
00
10
00
01
10
00
00
10
10
10
10
10
10
10
00
01
01
00
10
00
00
10
10
00
00
01
10
11
10
10
00
11
01
00
01
10
10
01
01
10
11
00
01
11
11
01
10
00
00
10
11
11
00
00
00
10
00
00
00
11
10
01
10
00
00
00
11
11
11
01
00
00
11
01
10
10
01
00
11
10
10
11
00
00
01
11
10
01
00
00
00
01
10
11
01
00
00
10
00
00
00
10
11
00
01
01
10
10
00
00
10
10
00
01
10
11
10
00
11
01
00
11
10
00
11
10
00
01
10
10
00
11
10
00
00
11
00
10
11
01
11
11
11
01
11
11
10
00
00
10
11
01
11
10
01
10
00
00
01
10
10
10
00
10
01
00
10
11
00
00
00
01
10
10
11
10
11
10
00
00
00
00
10
10
00
00
00
10
11
10
10
11
01
10
01
00
11
01
10
11
00
00
11
10
01
00
11
10
01
00
10
00
01
00
01
10
10
10
00
10
00
10
10
01
11
00
10
00
10
00
11
10
10
00
11
00
01
11
00
01
11
00
00
11
00
00
00
10
10
10
10
00
11
11
00
01
00
10
00
00
10
00
01
10
00
00
00
01
10
11
10
00
00
11
11
00
10
10
01
00
10
01
00
01
00
01
11
10
01
00
10
10
01
00
00
00
10
11
10
11
00
00
11
00
01
01
11
10
00
00
00
10
01
00
10
00
01
00
01
10
10
00
10
00
00
00
11
10
10
10
01
01
00
00
01
11
11
01
01
10
11
00
11
10
01
00
10
10
11
00
00
00
01
11
01
01
11
11
01
11
01
00
10
10
10
00
00
10
10
00
10
10
10
10
00
00
10
11
01
00
10
10
01
00
00
10
10
10
01
00
00
00
00
10
00
01
10
10
01
11
01
00
10
01
00
10
00
10
10
11
10
10
00
01
10
10
11
00
10
10
10
10
00
00
00
00
01
00
00
11
11
11
00
01
00
11
11
00
11
11
00
00
00
01
01
00
10
00
00
11
10
11
00
01
11
01
10
00
10
11
00
01
10
10
00
11
00
01
00
10
01
10
10
11
10
00
00
10
10
00
10
10
00
11
00
00
00
10
10
01
00
10
11
00
00
10
01
00
10
10
10
10
10
00
01
01
00
00
00
10
10
00
10
00
11
10
10
00
10
00
11
10
01
01
01
11
00
10
11
00
00
00
00
11
10
01
10
10
00
10
00
00
00
11
01
00
00
11
00
10
11
01
00
11
10
10
00
11
10
10
00
00
11
11
00
10
00
00
00
10
10
01
00
11
10
00
01
11
00
11
10
00
10
11
00
00
00
10
01
01
10
11
11
10
00
10
10
01
01
11
00
00
10
01
00
01
10
11
00
10
00
00
10
00
00
10
00
11
11
11
11
11
00
10
00
00
00
10
10
00
01
01
01
00
00
10
01
01
10
10
00
01
11
10
01
00
10
00
00
01
00
00
10
01
11
01
11
00
00
10
10
01
00
11
10
00
00
11
00
01
01
10
00
00
00
11
00
00
00
10
10
00
11
00
10
11
00
11
11
10
01
01
10
10
10
10
00
00
11
01
10
11
00
00
10
00
11
00
00
10
00
01
00
01
11
10
10
00
00
00
11
10
01
00
10
00
10
10
10
10
01
00
01
10
11
01
00
01
10
10
11
10
01
10
10
01
10
10
11
00
00
10
11
00
00
11
00
10
10
10
00
00
11
10
00
00
10
00
10
10
10
00
00
00
10
00
01
11
01
00
01
11
11
10
10
00
01
10
00
10
10
00
01
01
01
01
10
11
00
00
00
00
10
10
00
11
11
10
01
11
10
11
01
00
10
11
00
10
10
00
11
11
10
00
10
11
10
00
10
01
01
00
00
00
00
01
01
01
01
01
00
00
01
10
01
00
01
10
01
01
10
10
10
00
01
11
11
10
01
00
10
11
00
00
10
10
01
10
10
11
11
01
00
10
00
10
00
01
10
11
00
01
00
01
01
00
10
10
00
10
01
01
10
10
11
01
00
00
11
00
00
01
00
00
10
11
10
10
00
11
00
01
10
00
10
01
01
10
10
11
11
11
00
10
00
00
10
00
10
11
11
00
11
10
10
00
01
01
00
01
10
10
01
00
10
00
10
10
10
11
10
10
00
00
00
00
01
10
10
00
10
10
00
01
01
10
00
00
01
01
01
10
10
00
01
01
00
00
10
10
11
10
00
01
10
00
10
10
11
01
01
11
11
01
00
11
10
11
11
00
01
11
10
00
00
11
00
01
10
00
00
00
10
10
10
00
01
00
11
00
00
10
11
11
00
01
01
10
01
00
10
11
10
00
10
00
00
10
10
11
00
10
10
00
01
10
01
00
11
11
00
00
11
00
01
10
11
11
01
00
11
10
01
00
01
00
11
10
01
01
10
10
00
00
10
00
00
11
10
11
10
01
01
10
11
00
11
10
00
10
11
00
00
01
10
00
00
10
01
01
00
10
11
01
11
10
01
00
00
10
10
10
10
10
01
00
01
11
00
10
00
11
11
00
00
01
10
10
01
00
00
00
00
10
10
10
11
10
00
00
10
00
10
10
01
10
11
01
10
00
10
11
00
00
10
00
11
11
01
10
10
10
10
11
00
10
10
00
11
00
01
01
00
01
10
00
01
10
10
11
00
00
00
01
11
00
01
10
10
00
01
01
00
10
10
10
01
10
00
00
11
01
10
00
00
01
01
11
10
00
00
10
01
10
10
00
01
10
11
01
11
11
11
10
10
00
00
10
00
00
10
11
10
10
00
11
10
11
10
00
10
11
00
11
01
00
00
00
10
11
10
00
11
00
00
01
01
10
10
00
00
01
10
00
00
11
11
10
11
00
10
10
10
00
00
10
00
01
00
00
11
10
00
11
10
00
11
01
10
10
10
00
10
10
11
10
10
10
00
00
01
00
10
10
01
11
10
10
01
10
01
10
10
11
00
00
10
00
01
01
00
10
00
10
10
00
11
00
11
00
00
00
00
11
00
01
11
11
11
10
00
00
10
10
00
10
10
00
11
00
11
00
00
10
00
11
11
00
01
00
00
00
00
10
10
10
00
11
10
01
10
11
00
00
00
11
10
01
00
11
00
00
00
00
11
10
10
10
11
10
10
10
00
10
10
11
01
01
10
10
10
11
10
01
00
10
01
01
10
10
00
00
11
10
10
11
01
00
10
00
11
10
00
10
00
00
10
10
10
10
10
10
10
00
10
11
01
00
11
10
00
01
10
00
00
01
10
10
00
00
10
11
01
10
10
10
11
11
00
01
01
11
10
10
11
00
10
00
11
11
00
00
00
00
01
00
10
10
00
00
10
10
00
10
01
10
11
11
00
00
10
01
11
11
00
00
10
10
00
01
11
10
10
10
00
01
00
11
10
10
01
10
01
11
00
01
10
00
00
01
10
11
00
00
01
10
10
00
00
10
00
01
01
00
11
10
10
01
01
11
11
01
00
10
10
01
00
11
10
00
01
10
10
01
10
10
11
10
01
01
11
11
01
11
10
01
00
10
10
01
00
10
01
00
10
10
10
01
10
01
01
00
10
10
10
11
10
00
10
10
10
00
11
10
10
00
11
10
01
11
00
00
10
00
01
00
00
10
10
00
00
01
10
10
10
00
11
00
01
10
01
01
11
10
00
10
10
11
11
00
01
10
10
00
00
10
11
01
00
00
00
10
00
10
00
01
00
10
10
10
10
10
11
10
01
00
10
10
00
01
01
11
10
10
10
11
11
10
00
11
11
00
00
01
11
01
01
00
01
11
00
00
11
10
00
00
11
10
01
00
00
00
00
00
10
00
00
01
11
10
10
00
00
10
01
01
00
11
10
01
01
11
11
10
11
10
00
01
10
11
01
00
11
00
00
11
11
10
10
10
10
10
10
00
11
00
10
10
00
01
10
01
10
01
01
00
00
10
10
00
11
10
00
00
10
01
10
00
11
11
11
10
00
00
01
11
10
00
00
00
01
00
10
10
00
01
10
00
10
11
10
10
11
00
01
10
10
11
00
00
10
00
01
10
00
11
10
00
01
10
00
10
00
10
10
00
10
00
00
11
10
11
11
10
10
00
00
00
10
10
10
01
10
00
01
10
01
00
00
10
01
00
10
10
01
00
00
00
00
00
10
11
10
10
10
11
00
10
00
10
01
11
10
00
00
01
10
00
10
01
11
10
00
10
11
01
00
00
11
11
10
00
10
10
00
00
01
10
00
10
10
01
10
00
10
00
10
00
01
11
00
11
11
11
10
01
00
11
01
00
11
10
10
00
01
10
10
00
00
10
10
00
00
00
10
00
10
01
01
10
10
11
00
01
11
00
10
01
00
10
11
00
01
00
10
10
10
10
01
11
00
01
00
01
00
11
11
10
01
01
11
11
11
00
00
00
11
01
01
10
10
10
10
00
00
00
00
10
10
10
10
00
10
00
11
01
01
00
10
11
00
11
10
10
00
11
01
10
01
00
01
01
00
00
10
10
00
00
11
01
11
10
00
10
10
00
11
11
01
00
10
00
10
00
00
01
11
10
10
11
01
11
10
01
11
00
00
11
10
10
00
01
01
00
10
00
11
10
00
00
10
00
10
00
10
11
00
10
00
10
00
00
11
10
10
11
00
00
11
11
01
11
00
01
11
10
10
00
00
11
10
00
01
11
11
10
00
11
00
00
00
11
11
01
01
10
10
00
00
10
10
00
00
11
10
00
10
01
00
10
00
00
01
10
01
10
11
00
01
10
00
10
11
10
00
00
10
00
00
01
10
11
00
00
10
00
10
10
00
10
10
00
10
00
00
10
00
00
00
00
10
00
00
01
11
11
10
11
00
00
10
10
00
00
10
10
00
10
11
01
00
10
10
10
01
00
10
01
00
00
00
10
00
01
11
00
10
01
00
00
11
01
00
00
00
10
00
11
10
01
10
01
10
10
10
00
01
10
10
10
00
11
10
00
00
01
10
10
11
10
00
11
10
00
00
10
11
00
00
01
10
10
11
10
10
10
01
00
10
10
00
01
00
01
00
00
11
11
10
11
10
00
10
10
00
11
10
00
00
10
00
00
01
11
11
00
00
10
10
00
00
00
11
11
10
10
00
11
10
00
10
00
01
11
00
10
10
10
00
10
11
00
10
10
10
01
00
00
10
10
00
00
00
00
00
00
11
10
10
00
00
00
10
10
00
11
00
10
11
00
01
00
00
00
11
11
00
10
10
11
11
00
11
00
10
10
01
10
01
10
11
10
00
01
11
00
00
10
11
00
01
11
01
01
11
11
00
11
10
00
00
01
10
10
01
00
01
11
01
10
00
10
10
00
00
01
10
10
01
01
00
10
01
00
00
01
11
10
10
00
00
11
00
10
01
11
00
11
10
11
10
00
10
00
10
01
00
10
00
00
00
00
10
10
11
10
10
00
10
01
11
00
01
01
01
01
11
10
01
10
00
00
01
00
10
10
11
11
10
11
00
00
10
11
00
01
10
10
00
10
10
10
10
00
00
00
11
00
00
10
00
10
00
10
01
10
00
00
11
00
11
10
00
11
00
10
10
00
01
10
11
11
00
11
10
01
01
11
10
00
10
11
11
00
01
11
00
11
00
11
00
01
10
01
11
10
11
01
10
11
00
01
10
10
01
11
10
01
11
01
11
00
10
00
10
10
11
10
00
10
11
10
01
00
10
10
00
00
11
10
01
00
10
00
00
00
11
10
01
00
00
01
11
00
10
10
00
11
10
00
11
00
10
00
00
11
00
00
01
11
10
10
11
01
01
00
01
10
11
00
00
00
11
11
00
01
00
11
01
11
00
01
10
00
00
01
10
11
11
01
01
10
10
10
10
01
00
10
11
10
11
10
00
10
10
10
10
10
00
10
01
10
11
10
11
00
11
11
00
10
10
01
11
11
00
01
00
10
11
10
00
00
01
11
00
00
10
11
00
11
10
10
11
10
00
00
00
11
10
10
01
01
00
10
00
10
00
00
00
01
01
10
10
10
10
00
00
10
00
10
01
00
11
01
01
11
00
01
10
10
01
10
11
01
01
00
01
11
01
01
10
00
00
00
11
01
00
11
10
00
01
11
10
00
10
01
00
10
10
01
10
00
11
10
11
01
10
10
00
01
00
10
00
00
00
10
10
00
11
00
00
00
11
00
00
10
10
10
00
01
11
00
10
10
11
10
00
01
11
10
00
00
00
00
10
11
10
10
00
00
10
01
00
10
00
01
10
10
00
00
10
01
11
10
01
11
00
11
10
01
00
11
10
11
11
01
10
10
10
00
10
10
00
01
00
01
01
00
10
01
10
10
01
01
10
10
11
10
10
00
11
10
00
01
00
01
10
11
11
00
00
10
11
10
10
01
10
10
11
01
00
01
00
10
11
10
10
00
10
00
00
10
10
00
10
00
00
11
00
00
00
10
10
10
01
00
11
01
00
11
01
00
11
11
01
00
10
11
00
00
10
00
00
10
10
10
10
10
00
00
11
00
00
10
10
01
10
01
10
00
00
00
01
10
01
10
11
10
01
10
10
00
00
01
10
01
10
10
00
01
01
10
10
00
00
10
00
11
10
10
10
00
11
10
00
11
10
00
10
01
01
00
10
11
10
01
00
11
11
00
00
00
10
10
00
11
10
10
10
10
00
01
10
00
00
11
10
10
01
11
01
00
00
11
11
01
00
11
01
00
10
10
10
01
00
10
10
10
00
11
00
00
01
00
01
10
01
10
00
11
01
01
11
11
00
01
00
00
11
10
10
10
00
01
11
01
00
10
11
10
11
00
10
11
10
00
10
00
00
11
00
00
01
10
11
01
00
11
00
11
10
00
01
01
01
10
00
00
00
00
10
10
00
00
01
10
01
00
10
10
11
10
01
00
10
00
00
10
10
10
00
10
01
11
00
11
10
10
01
11
00
00
00
10
10
10
10
10
00
00
10
00
00
10
01
11
01
01
10
00
01
10
00
00
10
01
01
10
00
10
00
10
01
10
11
10
01
10
11
00
00
10
10
10
00
00
00
11
00
00
00
10
10
00
11
01
10
11
11
11
01
10
00
10
00
10
10
00
00
10
10
00
10
00
10
10
00
00
10
00
11
00
10
11
00
00
00
10
10
11
01
11
10
10
10
10
00
00
00
11
01
10
10
10
10
01
10
00
10
10
10
00
01
11
00
11
10
01
01
10
11
10
11
00
00
10
10
00
00
10
11
01
01
01
00
01
10
00
01
11
10
00
00
11
00
00
00
01
10
00
00
10
11
00
11
00
00
01
10
01
00
10
10
00
01
00
00
10
10
01
11
00
11
11
00
00
01
00
10
01
11
10
00
01
11
11
00
01
00
10
01
00
10
00
10
10
00
11
10
10
11
11
10
00
10
00
00
11
01
10
10
00
10
10
00
00
00
11
10
10
10
10
11
00
11
00
00
11
10
10
00
01
11
10
01
00
10
01
00
11
10
00
00
10
00
10
10
00
00
10
11
00
10
00
11
10
10
01
00
10
10
11
00
00
11
01
11
00
10
10
11
00
10
10
00
00
00
01
10
10
01
00
11
11
10
00
00
00
00
10
10
10
10
01
10
10
11
10
01
01
00
11
10
10
00
10
10
00
00
10
01
10
10
10
11
00
10
11
00
10
00
11
00
00
11
10
11
00
11
01
00
10
10
00
00
10
00
00
10
01
10
00
11
00
11
10
00
00
10
11
01
11
10
11
00
10
10
01
10
10
01
11
11
10
00
10
10
10
10
01
00
00
00
01
00
10
01
11
11
11
00
11
10
00
00
00
11
11
11
11
01
10
10
01
00
01
01
00
11
01
01
10
11
01
00
10
10
00
00
01
10
10
10
00
01
10
00
01
10
11
11
10
00
00
10
10
00
00
10
01
00
11
10
10
00
01
10
00
01
10
10
00
01
01
01
00
10
10
01
01
11
10
00
00
10
00
00
01
11
10
00
00
00
00
01
10
10
10
01
00
00
00
10
01
01
11
01
10
11
01
10
00
00
10
01
11
11
10
00
10
01
10
01
00
10
10
10
10
11
11
10
00
00
10
01
00
11
10
01
01
11
00
00
10
10
00
00
10
00
11
11
00
11
01
11
10
00
11
00
01
11
00
01
01
10
01
00
00
11
00
11
10
00
00
10
00
11
10
01
10
10
10
10
00
01
00
00
10
00
00
00
01
10
01
00
00
00
00
10
00
00
11
00
11
11
00
11
00
10
00
10
11
11
01
01
11
00
11
11
00
01
11
11
01
00
11
01
00
10
11
00
00
10
10
00
00
00
10
11
10
11
00
11
11
10
10
00
00
10
00
00
11
11
01
00
00
01
01
11
01
10
10
01
01
01
11
11
00
00
10
00
10
10
10
00
10
00
01
10
00
11
00
11
00
00
11
01
01
11
00
00
01
10
10
11
00
11
01
11
00
01
10
11
00
01
11
00
00
00
00
10
11
00
01
10
01
10
01
00
10
10
00
10
01
11
10
00
11
11
01
10
01
01
11
01
01
10
11
11
10
00
00
10
11
10
00
10
10
01
00
10
00
10
11
10
01
00
00
11
00
00
11
10
00
10
11
00
00
10
01
10
00
10
10
00
10
00
11
00
11
11
10
11
11
10
00
10
10
00
01
10
11
11
00
01
10
00
10
00
00
11
10
11
00
11
10
00
00
11
10
10
01
00
11
10
10
01
11
10
00
10
10
00
00
00
00
10
10
00
00
10
01
10
10
11
00
01
10
00
00
10
11
10
00
00
10
00
00
10
00
10
10
11
10
10
10
11
01
11
10
10
01
01
00
00
10
10
10
00
10
10
00
10
10
01
11
10
00
10
10
11
10
00
00
00
10
10
01
01
10
10
10
11
10
10
00
01
10
10
01
10
11
00
00
00
10
00
11
10
00
00
11
11
00
01
10
10
00
01
01
10
11
00
10
00
11
11
00
10
11
01
00
11
10
11
10
10
10
00
10
10
10
00
10
11
00
00
01
11
00
11
10
00
00
00
10
00
10
11
00
00
00
11
10
10
11
10
11
10
00
11
10
00
10
01
00
01
10
00
10
11
00
01
10
01
00
10
11
10
00
00
00
10
10
00
01
00
11
01
10
10
10
11
11
00
00
10
01
10
10
01
10
01
10
01
00
00
01
11
10
01
10
00
10
00
00
00
11
10
01
00
01
10
01
11
11
11
00
00
10
11
01
00
10
10
00
01
00
01
11
00
01
10
10
01
00
10
00
11
00
00
10
10
10
00
01
10
00
01
10
11
00
00
11
10
11
10
10
00
00
00
01
00
01
10
00
00
11
10
10
10
00
00
10
11
10
11
10
00
00
11
00
01
00
10
11
00
10
10
11
00
01
11
00
01
11
11
11
01
00
10
10
10
00
00
11
10
00
10
10
10
00
01
10
00
10
00
10
00
00
00
00
00
00
01
00
11
10
01
00
10
00
00
10
10
00
01
00
01
10
10
10
00
01
10
00
00
10
11
10
00
00
10
10
00
10
01
00
11
11
01
11
10
00
11
00
00
11
10
01
00
10
10
11
00
11
00
00
11
11
10
10
01
00
11
01
01
10
11
00
01
10
11
00
00
00
11
10
10
00
00
11
00
00
11
00
10
11
11
01
10
10
00
00
10
00
10
11
00
11
10
01
10
11
10
00
11
11
10
00
00
11
10
11
11
01
10
10
10
00
10
10
00
10
00
00
01
01
10
11
10
01
10
00
10
10
00
00
01
10
01
01
10
00
01
10
10
11
00
00
11
01
11
00
11
10
00
01
10
10
10
00
00
10
00
00
00
10
10
00
01
10
10
10
11
10
01
10
00
10
00
10
10
00
01
01
10
10
00
00
00
00
10
10
10
10
11
01
10
01
10
11
11
01
10
10
01
00
00
00
00
00
00
10
10
11
10
00
01
10
00
10
10
01
10
00
10
00
00
10
10
10
10
00
10
10
00
11
00
11
00
01
10
11
01
10
11
00
01
10
00
01
00
11
11
01
00
01
10
10
01
00
11
10
11
00
11
00
00
10
00
00
00
11
11
10
10
11
11
00
00
11
11
00
11
10
00
00
00
00
11
10
01
10
00
10
10
00
00
00
11
10
11
00
11
10
01
11
00
10
10
10
10
00
01
11
11
11
10
00
00
00
01
00
10
10
00
00
00
10
00
01
10
10
01
10
11
00
10
10
01
01
01
01
00
11
00
01
11
10
00
11
11
00
00
00
00
11
11
01
00
10
10
01
00
00
10
01
11
01
11
01
11
00
00
00
10
10
10
11
00
11
10
10
11
00
00
10
11
00
01
10
10
10
01
00
01
00
00
00
00
10
10
11
01
10
00
11
00
01
00
11
11
10
00
11
00
11
10
10
11
00
00
00
00
00
00
00
10
01
10
10
00
00
10
00
00
00
00
11
10
11
00
00
00
00
10
10
00
00
00
00
10
10
00
11
10
11
00
10
10
01
00
00
01
11
00
01
11
11
01
10
11
00
01
10
00
10
11
00
01
11
10
10
11
00
00
00
00
10
10
10
10
00
10
00
11
10
00
10
01
11
11
10
01
00
10
00
00
11
10
01
01
00
11
01
01
10
11
01
00
10
10
10
00
10
01
00
10
10
11
11
10
10
00
00
10
10
10
11
00
00
01
10
01
00
00
01
10
01
00
10
11
01
01
10
11
00
11
00
01
01
10
00
10
10
00
10
10
00
00
10
01
01
10
00
00
00
10
10
11
10
10
01
01
01
01
01
11
11
00
10
00
11
10
00
00
10
11
00
00
00
11
10
10
11
00
01
00
11
10
10
10
01
00
10
10
00
11
10
00
00
11
10
11
00
10
10
00
00
11
00
00
10
11
00
01
00
01
00
11
11
11
10
00
11
10
00
00
00
01
00
11
01
11
00
10
10
10
00
00
00
10
10
00
10
01
11
00
10
10
11
11
10
11
01
10
00
00
10
11
00
01
00
01
10
00
10
01
00
10
00
11
00
10
10
01
10
11
11
00
11
00
01
10
11
00
10
10
00
01
10
10
00
00
10
10
00
01
11
10
10
01
11
10
00
00
00
01
10
00
11
10
10
00
00
01
00
01
10
10
00
11
00
01
00
10
00
10
10
01
01
11
00
00
01
11
10
00
10
10
00
00
10
11
10
00
10
10
01
10
00
00
11
10
00
00
10
00
00
10
00
11
00
00
01
10
10
10
01
10
00
01
00
11
11
01
11
10
01
00
01
10
01
00
10
00
00
11
10
11
01
01
11
01
10
11
10
01
00
10
10
00
11
11
10
01
01
00
01
10
11
10
10
00
00
10
00
10
11
01
01
00
01
10
00
10
00
01
01
10
11
01
10
01
10
10
00
01
11
10
01
00
11
10
00
10
10
01
00
00
10
11
00
01
00
01
10
10
10
00
00
10
11
10
11
10
00
10
01
00
00
00
10
10
00
10
10
01
11
11
01
00
10
00
00
11
11
00
00
00
10
00
01
00
11
11
00
10
00
00
10
10
00
01
00
01
00
00
00
00
01
11
01
00
00
10
01
01
11
01
00
11
00
11
11
10
11
00
00
00
00
10
11
10
01
01
10
00
00
00
10
10
10
00
11
10
10
10
10
01
10
10
01
10
10
10
00
00
11
10
10
11
00
00
10
10
00
11
00
01
00
10
11
01
10
10
00
10
11
00
00
00
10
01
10
10
00
11
10
10
11
00
10
10
10
00
01
00
11
10
01
10
11
01
00
01
10
01
00
00
10
10
00
11
11
00
10
00
10
01
00
00
11
00
00
00
11
10
10
11
01
00
00
10
10
00
10
00
00
10
01
10
11
00
11
01
01
01
00
11
11
00
00
01
00
11
11
01
10
10
00
00
00
10
00
11
00
11
01
00
00
01
01
01
00
10
00
00
11
00
01
10
10
01
11
11
10
01
10
10
10
00
10
10
10
00
00
10
11
10
00
00
00
11
10
10
11
00
00
10
11
00
00
10
00
01
01
10
00
10
10
01
01
11
01
00
11
00
11
00
10
11
01
00
11
00
00
11
10
00
10
11
00
10
10
10
10
00
10
00
01
10
01
11
10
00
10
00
00
10
10
00
00
10
11
00
11
01
10
00
01
00
11
10
00
10
10
10
00
11
10
10
10
11
00
10
01
10
11
10
10
00
00
11
01
00
00
11
00
01
10
10
11
00
10
11
10
11
00
01
00
10
01
01
00
10
11
01
01
00
10
10
11
00
11
00
10
10
10
10
11
01
00
10
10
11
00
00
00
10
00
01
01
00
10
10
10
00
10
10
00
10
01
00
01
11
10
11
00
10
00
00
10
10
00
01
00
10
10
10
10
10
00
01
10
11
01
10
10
10
10
00
11
10
00
01
00
10
00
00
00
00
11
01
01
01
10
01
00
11
10
00
00
10
00
01
10
11
10
01
10
11
00
00
11
11
10
01
10
10
10
00
00
10
11
11
01
11
00
00
10
10
01
10
11
00
00
00
01
01
10
01
01
10
00
10
11
10
10
01
01
00
01
00
00
11
10
01
00
00
11
11
10
01
00
10
10
00
10
10
00
00
01
00
10
00
00
10
10
11
11
10
00
00
00
10
01
10
11
00
00
00
10
10
10
00
01
10
01
00
11
11
10
10
00
00
11
00
01
10
10
00
10
11
10
11
00
11
00
00
10
01
00
00
11
10
10
11
00
01
10
01
00
11
00
00
11
01
01
10
10
00
00
00
01
01
11
10
00
10
00
00
10
10
10
10
11
10
10
00
10
01
00
00
01
10
11
10
10
00
10
00
11
01
01
10
00
01
00
10
10
01
00
10
00
10
00
00
00
01
11
11
11
01
01
10
01
00
01
00
11
10
10
11
10
10
00
00
10
11
10
10
10
11
01
10
11
10
00
01
01
00
10
10
10
11
01
00
10
11
10
01
00
10
10
00
00
10
00
01
00
11
10
10
00
11
01
11
10
01
01
00
10
11
00
01
01
11
11
11
00
10
10
01
00
00
11
10
01
11
00
11
01
00
00
00
10
11
10
01
10
01
11
11
10
00
11
11
00
00
11
11
00
11
10
00
11
00
00
10
01
11
00
00
10
11
00
10
01
11
01
10
10
10
11
01
00
00
10
11
10
10
01
00
10
10
10
11
10
01
00
10
11
00
10
00
10
10
01
00
00
10
10
11
00
00
10
01
01
10
01
10
11
00
10
00
00
00
00
10
11
11
00
11
01
00
10
01
10
11
01
01
01
11
00
00
00
00
10
10
00
10
10
00
00
10
10
11
00
11
10
00
00
10
00
10
10
01
11
01
00
10
01
01
01
11
10
00
00
11
01
10
10
00
00
11
10
01
00
10
00
01
10
10
00
01
10
01
10
01
10
10
10
00
11
11
01
11
10
00
10
01
01
01
11
10
00
10
00
10
01
10
10
10
10
11
00
11
10
10
00
11
10
11
01
00
10
10
01
10
01
00
11
00
01
00
10
10
11
00
00
10
10
11
10
11
01
11
10
11
01
10
00
00
00
00
10
01
11
10
01
10
10
11
00
00
10
10
00
10
11
00
10
10
00
10
00
00
00
10
10
00
11
00
10
11
10
10
01
10
10
11
00
00
10
10
01
01
10
10
10
00
01
10
11
01
10
10
10
00
01
10
10
00
01
10
11
11
10
10
00
00
10
10
01
00
00
10
10
00
10
10
11
00
00
10
00
01
10
00
10
11
01
10
00
11
10
00
11
00
01
10
00
00
10
11
00
00
11
10
01
00
10
10
10
10
00
10
10
01
00
01
10
00
01
10
01
11
00
01
00
10
11
10
00
01
10
10
01
00
10
10
01
10
00
00
10
10
00
11
01
10
11
11
11
01
10
11
00
00
10
10
11
00
11
11
01
00
11
11
00
00
10
01
11
00
00
00
11
11
01
01
10
00
00
10
10
01
01
10
10
01
11
10
00
11
10
00
10
10
10
10
00
00
01
01
00
00
00
00
01
00
10
01
10
11
01
10
00
10
10
10
11
00
01
11
11
01
11
10
10
10
11
01
01
10
10
00
11
00
00
10
10
01
11
00
10
10
00
01
10
10
00
00
11
11
11
11
00
01
10
00
00
00
11
00
11
10
11
10
10
01
00
11
10
00
00
00
11
00
11
10
00
00
00
00
10
01
00
00
11
10
10
10
10
00
10
10
00
10
00
10
10
01
00
11
11
01
00
11
00
00
00
10
11
00
00
10
11
00
10
00
01
10
11
11
00
01
01
10
10
11
01
01
10
11
01
00
10
10
01
00
10
10
10
11
10
00
01
10
00
00
10
10
10
10
10
10
00
00
10
10
10
00
00
00
10
00
00
10
00
01
11
00
10
00
00
10
00
01
10
10
00
00
11
01
00
11
00
00
10
00
10
10
01
10
00
10
10
01
00
11
10
11
00
00
00
11
11
01
00
11
10
01
10
11
11
00
10
10
00
00
00
10
10
00
00
01
10
11
01
10
10
00
00
00
00
10
10
10
00
00
01
01
10
00
00
10
00
00
01
10
01
10
11
10
10
00
00
10
11
00
10
10
00
10
10
10
01
11
11
01
11
11
11
00
00
10
01
01
11
11
01
00
11
11
10
00
11
10
01
00
11
10
00
00
11
01
00
11
10
10
10
00
01
11
10
00
00
10
00
00
10
00
00
10
00
00
10
00
10
10
10
00
01
01
00
00
10
00
00
01
10
10
10
10
10
00
10
11
10
01
10
10
10
00
00
00
10
00
10
10
11
00
11
10
00
00
11
00
00
00
11
01
00
10
11
01
10
11
10
00
00
10
00
10
00
01
01
01
10
10
00
11
00
00
10
11
10
10
01
01
00
10
00
00
11
01
10
10
10
00
11
10
00
00
01
10
11
01
00
10
11
10
11
10
00
01
00
10
11
10
00
10
10
00
10
00
00
00
00
10
10
10
00
11
10
11
10
00
10
00
10
01
11
11
10
01
00
01
00
01
00
00
10
10
00
00
11
10
00
10
00
11
10
01
01
11
10
00
00
10
11
00
01
10
11
01
00
00
10
00
00
11
10
00
01
10
11
10
10
01
10
10
10
00
00
10
00
11
00
00
00
11
10
00
10
00
00
00
10
10
10
00
00
10
00
00
10
01
11
11
10
11
11
00
10
00
10
10
10
00
00
11
10
10
00
10
00
00
10
11
11
01
01
10
01
00
11
11
00
01
10
00
11
01
00
01
01
11
11
01
11
10
00
00
10
10
01
01
11
10
11
01
00
11
01
10
11
01
00
10
10
00
11
10
01
00
11
10
01
00
11
00
11
01
10
00
01
01
10
11
00
10
00
11
00
00
01
10
10
10
10
00
11
00
01
10
00
01
11
10
00
00
10
10
00
00
00
10
00
10
00
00
00
10
11
10
10
11
01
00
10
10
00
01
00
10
11
00
00
01
00
01
00
10
10
01
10
00
01
10
00
00
00
10
10
00
10
10
00
00
11
10
10
01
00
01
01
01
11
01
00
11
11
01
10
01
00
10
11
00
10
10
01
10
00
11
00
00
10
11
00
00
11
10
10
00
11
00
00
10
01
00
10
00
00
11
10
00
01
00
10
00
00
10
10
00
10
11
00
01
00
00
01
11
10
10
01
00
10
11
01
00
10
10
11
00
01
10
10
00
11
10
00
10
10
00
01
11
10
01
00
00
10
11
10
10
00
00
00
10
00
00
10
11
10
00
11
10
01
00
11
10
00
00
00
10
00
00
11
00
01
01
10
10
00
10
11
01
01
00
10
11
11
00
10
00
01
00
11
10
00
10
00
00
10
11
11
10
10
11
00
11
11
00
00
00
11
00
10
10
01
10
11
00
00
00
10
01
11
10
10
01
00
11
01
00
10
00
10
10
11
01
10
00
00
01
00
01
00
10
10
10
01
10
11
01
00
11
11
00
00
00
10
01
00
10
10
10
10
10
01
01
10
01
01
10
10
10
10
00
00
10
01
10
00
01
10
01
00
11
10
10
11
00
00
11
00
01
00
10
00
11
11
11
11
01
10
10
10
11
10
11
00
00
01
00
00
11
00
10
00
00
10
11
00
00
00
00
10
11
00
01
00
10
10
11
00
10
10
00
00
11
00
10
11
10
10
10
10
00
00
01
11
10
10
11
10
11
10
01
00
00
10
01
00
10
10
00
10
01
01
11
10
00
00
00
01
00
10
11
01
00
10
00
00
01
11
10
10
00
00
10
00
00
00
10
10
10
00
10
00
00
00
10
00
01
00
10
10
00
11
01
00
11
01
00
01
10
10
01
10
10
00
10
10
01
00
01
01
11
00
00
01
10
00
00
00
11
01
10
10
11
11
11
11
10
01
11
11
11
00
00
10
01
00
10
00
11
10
11
11
00
00
00
11
01
00
11
00
01
10
00
10
10
00
00
01
10
10
00
00
10
01
10
10
11
10
01
01
10
10
00
10
11
00
11
00
00
10
10
10
00
10
10
01
11
10
00
00
10
10
00
00
11
10
01
00
00
10
10
10
01
00
10
10
00
00
00
00
11
11
00
01
10
10
10
01
01
01
10
01
10
10
11
00
11
10
10
00
10
00
10
10
01
10
10
00
10
11
00
10
11
10
00
11
00
00
11
10
11
00
01
10
10
01
00
01
10
11
00
10
10
00
10
11
10
00
10
00
00
00
01
10
11
01
00
01
00
00
00
10
01
00
10
10
10
10
11
00
11
00
00
00
00
10
01
11
10
11
11
10
10
01
00
11
11
00
01
00
10
10
00
00
10
10
00
10
00
11
11
00
01
11
00
11
00
00
10
01
00
11
10
01
00
11
10
01
00
11
01
01
00
01
00
10
00
00
00
10
01
11
10
10
00
00
11
01
11
10
01
01
11
01
10
10
00
10
11
11
01
00
00
10
11
00
10
00
11
11
01
10
10
00
10
00
10
11
01
00
10
10
01
00
10
11
00
11
10
00
00
10
10
00
00
11
00
01
01
11
10
10
11
01
00
10
10
00
00
00
10
00
10
10
01
00
11
10
01
10
00
10
00
01
10
10
10
01
01
10
10
00
00
10
10
00
10
11
10
00
00
00
00
00
10
10
00
00
10
11
00
11
00
01
00
10
10
00
10
10
01
00
11
10
10
10
10
10
10
10
00
10
01
10
00
00
00
01
10
01
11
00
00
10
00
01
00
10
01
00
10
00
00
00
01
00
10
00
11
00
11
10
10
00
00
10
10
00
01
11
11
10
10
00
11
10
01
00
01
01
00
00
10
11
00
10
11
00
10
11
00
11
00
00
10
11
00
10
01
00
01
11
00
11
10
10
10
11
00
01
01
10
00
00
11
10
00
01
10
11
01
01
10
01
00
00
00
10
00
00
00
11
00
00
01
00
01
00
10
10
11
01
01
11
10
01
00
10
10
00
11
10
00
01
10
01
10
00
11
01
10
10
00
00
10
11
01
11
10
00
00
00
10
00
00
10
10
10
10
00
10
01
00
11
11
00
10
00
00
00
00
01
00
10
11
11
10
11
10
11
01
00
10
00
00
11
10
00
00
00
10
01
00
10
11
11
10
10
01
00
10
10
00
10
01
00
11
10
10
10
00
00
00
00
10
11
11
01
11
01
10
10
11
11
00
01
10
10
11
00
11
00
00
10
10
00
00
11
10
10
01
11
10
11
01
00
01
10
00
00
10
10
10
10
00
00
00
00
10
10
10
01
00
10
00
00
00
00
10
10
10
00
01
10
00
10
10
10
10
01
00
11
01
10
00
11
00
10
00
00
00
00
01
11
01
10
10
00
01
11
10
01
00
00
00
10
10
00
10
10
00
10
11
00
10
10
10
00
00
10
10
01
00
00
10
10
10
00
10
10
01
00
00
00
11
10
01
00
11
11
10
10
00
00
10
00
00
10
00
01
11
10
10
10
00
10
10
01
10
00
10
00
00
01
10
10
00
00
10
10
10
01
10
11
01
11
00
01
11
10
01
00
00
00
00
10
00
00
11
11
11
00
10
00
11
00
01
10
10
10
00
10
11
00
00
00
11
10
10
10
10
01
10
10
10
00
00
10
11
00
11
10
00
10
00
10
10
00
00
10
00
01
01
10
01
11
00
01
00
11
10
11
10
00
00
10
11
00
01
01
10
10
00
10
00
00
10
00
00
11
10
10
00
00
10
01
00
10
01
00
00
10
01
00
10
00
10
00
10
01
01
00
00
00
10
01
00
00
11
00
01
11
11
11
01
10
00
00
11
10
01
01
10
00
11
00
00
11
01
11
10
10
11
10
10
10
00
00
11
01
10
00
10
11
00
00
00
10
11
00
00
10
01
01
11
01
11
10
10
00
00
11
00
11
10
10
11
01
00
01
10
10
00
01
01
01
10
11
11
01
00
10
10
00
00
00
01
10
01
01
10
10
11
01
00
00
10
11
11
00
00
11
00
10
00
10
01
01
11
00
01
10
00
00
10
01
00
10
10
00
10
00
10
10
00
00
10
01
10
00
00
01
01
00
10
00
11
10
10
11
10
10
01
10
10
00
01
00
01
10
10
10
11
00
00
10
11
10
00
10
01
00
00
10
00
00
11
01
11
00
10
10
00
11
10
00
10
00
00
10
00
10
00
00
00
10
00
11
11
00
10
00
00
00
11
00
00
10
10
01
10
00
01
10
10
01
10
00
10
10
10
10
01
10
00
00
10
10
01
11
11
10
11
00
00
10
00
10
01
01
10
10
00
11
11
01
01
10
11
10
01
01
11
00
10
00
01
10
11
00
00
01
11
00
10
01
11
11
10
00
10
10
11
00
10
01
00
01
00
00
10
00
01
10
00
00
01
00
10
00
00
11
01
10
00
11
00
01
11
11
11
01
01
01
01
11
01
00
10
10
10
01
11
11
00
00
00
10
10
01
00
10
11
01
10
10
00
01
01
10
10
00
00
01
00
00
01
10
10
10
10
00
10
10
00
11
00
01
01
10
00
00
10
00
10
10
00
00
10
10
01
10
10
10
10
11
00
10
00
00
11
11
10
01
01
11
00
00
11
10
10
01
10
10
00
10
00
00
11
01
00
10
00
10
00
10
01
11
00
01
00
01
11
01
11
11
01
01
10
11
11
01
01
01
10
11
00
10
11
10
11
01
00
00
10
00
00
11
10
11
10
10
10
01
00
11
01
01
10
11
00
01
00
10
01
10
00
11
10
00
10
10
10
10
11
00
11
11
10
10
00
11
10
10
01
00
00
10
11
10
11
10
00
00
00
00
00
10
00
10
11
10
00
00
01
00
11
10
00
10
01
00
01
00
10
10
11
00
01
00
11
01
01
10
00
00
11
00
00
11
10
10
00
00
10
01
10
10
11
00
00
01
11
11
10
01
00
10
00
00
10
11
01
10
11
00
01
00
00
00
00
11
10
10
01
10
00
11
11
00
10
10
10
11
00
00
00
11
00
01
01
10
11
10
11
00
01
10
11
10
01
00
10
00
01
00
11
10
10
00
00
01
00
10
10
00
00
10
01
00
10
00
10
11
01
00
01
00
10
11
01
10
00
00
10
10
10
01
00
10
00
01
01
00
11
11
01
11
00
00
01
10
10
01
11
11
00
00
01
11
01
10
00
01
10
11
00
11
11
01
00
10
10
01
01
01
00
10
10
00
11
10
00
11
11
00
10
00
10
10
10
00
11
11
11
01
10
00
10
00
10
10
00
01
10
10
00
11
10
10
00
10
00
01
00
11
10
00
00
10
00
00
00
10
10
00
10
00
00
11
00
00
00
00
11
10
00
01
10
00
10
10
10
00
10
10
10
00
01
00
10
01
00
01
10
10
00
00
10
10
00
00
10
00
01
10
00
00
10
00
01
10
01
10
10
10
10
01
10
10
00
11
10
10
10
10
00
01
10
00
00
01
00
01
01
00
01
11
01
10
10
11
11
01
00
11
00
00
10
11
00
00
11
10
01
01
10
11
10
00
10
11
00
11
11
00
10
11
10
11
01
00
01
10
01
00
00
01
01
10
11
10
10
01
00
11
10
00
00
10
10
10
11
00
10
10
00
10
10
10
01
01
10
00
00
00
10
01
00
10
00
01
11
00
00
10
10
10
01
01
11
10
10
00
11
01
00
00
10
10
01
10
00
11
00
10
10
00
11
10
00
00
11
10
10
10
01
10
10
11
00
10
10
11
10
10
00
00
01
10
10
11
00
11
00
11
11
00
01
01
01
10
10
10
11
00
01
10
01
00
01
01
10
10
11
11
10
11
00
01
00
10
10
10
11
00
01
11
00
10
10
00
10
00
01
10
00
00
10
10
10
00
01
00
00
11
10
00
11
10
11
00
00
00
10
00
01
11
11
01
00
10
00
01
00
00
10
10
00
00
10
10
11
01
10
10
11
10
10
11
00
10
10
01
11
10
10
00
00
00
00
11
11
11
10
00
10
10
00
01
10
01
00
11
00
00
10
10
10
00
10
11
00
01
11
10
11
10
00
01
11
11
00
10
11
00
11
00
00
01
10
01
01
11
11
11
01
10
10
00
11
10
00
11
00
00
11
10
00
10
10
01
10
10
00
00
10
00
10
10
00
10
11
11
10
00
10
10
11
00
00
10
01
10
00
11
00
00
00
01
11
10
10
10
00
00
10
10
10
00
10
00
01
00
01
10
10
01
00
00
10
11
00
00
01
01
01
11
01
00
11
10
11
10
00
01
10
11
01
11
11
10
00
00
11
11
00
00
10
10
00
10
10
00
10
10
00
01
01
00
01
10
10
01
10
10
11
10
00
10
10
00
11
10
10
10
00
10
00
00
10
10
01
01
00
00
00
10
01
01
00
01
10
10
00
00
10
10
00
01
11
00
11
10
10
00
00
10
00
01
11
01
10
00
01
00
10
10
10
00
11
11
00
00
10
00
00
10
00
00
10
11
11
01
00
11
10
10
00
01
00
00
10
11
10
00
00
10
10
00
10
00
00
00
00
10
10
00
01
01
01
01
11
10
01
10
10
10
00
00
00
01
10
11
11
10
01
10
11
11
00
00
00
00
00
00
11
10
10
11
01
10
00
10
10
10
11
00
00
00
00
11
00
11
10
10
11
11
00
11
01
01
00
00
01
10
01
01
01
10
01
10
11
10
01
00
10
11
10
10
01
01
10
00
11
00
11
00
01
11
01
01
10
10
00
11
11
11
00
10
00
00
11
00
00
11
10
00
00
10
11
10
10
00
10
10
01
10
00
10
01
11
10
01
10
00
10
01
01
01
01
11
11
11
01
00
00
10
10
11
00
10
10
00
00
10
11
01
01
00
10
00
11
00
10
01
01
10
11
01
01
11
00
11
01
00
01
10
11
00
10
11
10
00
00
00
10
10
00
00
01
10
10
00
10
01
11
10
00
10
10
11
10
01
10
10
10
00
10
11
10
11
00
01
10
00
10
00
00
10
10
10
00
01
10
00
11
00
00
10
00
01
10
10
10
11
01
10
00
11
10
01
00
01
10
00
10
10
10
00
10
00
00
11
10
10
11
11
11
10
11
00
10
10
01
11
01
01
10
00
00
01
01
01
00
01
10
10
10
10
10
00
00
11
11
01
10
11
10
10
00
01
11
00
11
10
00
00
01
10
00
01
11
00
11
00
01
01
10
10
00
00
10
00
00
01
00
10
10
00
10
10
00
00
11
00
11
10
00
00
01
00
10
10
00
10
10
10
10
01
00
00
01
00
10
00
00
11
00
00
00
10
00
01
10
00
01
10
01
11
01
10
11
10
00
10
10
00
00
11
11
01
00
11
11
10
00
00
10
10
00
00
00
10
10
01
10
00
01
11
00
10
00
01
10
10
01
10
10
01
10
00
11
01
01
00
10
11
00
00
10
11
10
10
10
00
11
00
00
10
10
11
10
01
11
00
00
10
10
10
11
00
00
00
10
10
10
10
01
00
10
00
01
00
00
00
10
01
01
00
10
01
00
11
01
10
01
01
11
00
00
10
00
11
11
10
01
00
10
00
10
00
10
10
00
10
10
11
10
01
10
10
10
10
00
00
10
10
00
10
11
01
00
00
01
01
01
00
10
10
11
10
00
01
10
10
10
10
11
00
10
00
11
10
00
11
00
10
11
00
01
00
11
10
11
10
10
01
00
10
10
01
01
10
00
11
11
00
10
01
10
00
10
10
01
01
00
00
11
01
00
00
10
10
00
10
00
00
11
11
10
00
00
10
00
11
01
11
10
00
00
00
10
10
00
00
10
01
01
11
11
10
01
01
00
10
10
00
10
10
00
01
10
10
10
00
10
11
01
00
00
10
00
00
10
00
11
11
00
00
11
10
10
00
01
11
10
11
00
10
10
10
00
00
11
10
00
00
10
01
00
11
10
10
10
11
01
00
10
01
00
10
01
10
01
10
10
01
10
10
10
10
00
00
00
11
11
00
01
10
10
01
01
10
10
00
01
01
10
01
10
00
01
10
00
11
10
01
01
10
10
10
00
01
10
00
01
10
10
10
01
11
10
00
11
10
00
10
00
11
10
00
00
01
10
00
11
00
11
10
11
01
00
10
10
10
00
01
11
11
01
00
00
10
10
10
11
01
01
10
00
11
10
00
01
10
01
01
10
11
00
10
10
01
00
00
00
11
01
00
10
10
01
00
01
10
11
00
01
00
10
10
00
10
00
00
11
01
00
11
01
00
00
10
11
11
00
00
01
11
00
00
00
10
11
00
00
00
01
00
01
01
11
01
00
00
00
00
10
00
01
11
10
01
10
00
00
11
01
00
10
10
10
00
01
10
01
01
00
00
10
01
00
01
11
00
00
11
11
10
11
01
10
01
01
10
01
10
10
01
00
01
10
00
00
10
11
11
00
00
10
10
00
01
10
10
10
10
00
01
00
11
00
00
10
00
01
10
10
00
10
01
11
00
00
01
00
00
10
10
01
00
10
10
00
00
01
11
00
00
10
00
00
11
10
00
01
11
01
11
01
00
10
01
01
10
10
01
10
11
00
10
10
00
10
11
01
00
00
10
00
00
10
10
00
10
10
11
01
00
11
10
00
00
11
00
10
10
01
01
00
10
00
10
11
10
01
00
01
00
10
00
11
00
00
01
10
00
11
01
10
10
00
10
10
00
10
10
00
00
00
10
11
00
00
00
01
00
00
00
00
01
10
10
10
00
00
00
10
11
00
00
10
10
00
00
11
10
10
10
00
01
00
10
11
10
10
10
00
01
11
10
00
01
10
11
01
00
10
00
00
00
01
10
11
10
00
00
11
00
00
10
11
10
10
10
11
00
00
01
11
00
00
00
10
11
00
00
00
11
11
00
00
00
01
10
10
10
00
00
11
00
11
00
01
00
00
00
10
10
10
01
01
10
00
00
11
10
00
10
10
00
11
10
10
00
11
11
10
11
00
00
11
00
00
11
10
00
00
00
11
11
01
10
01
00
00
10
00
00
00
11
10
11
00
10
00
00
10
00
10
10
10
01
10
00
10
11
00
11
10
01
00
10
11
00
10
00
00
10
00
10
01
01
11
00
00
11
11
10
01
11
10
11
11
01
10
11
00
11
11
00
00
10
00
11
10
00
00
10
10
00
11
10
11
00
10
00
10
00
11
00
01
00
00
01
11
10
10
10
01
00
10
00
00
10
00
11
10
11
10
10
10
00
00
10
00
01
00
10
01
11
10
10
11
10
10
01
10
00
10
00
10
10
01
00
10
11
01
10
10
01
00
01
10
10
10
01
00
00
10
00
11
10
00
11
10
01
01
01
01
10
11
01
10
10
00
10
01
10
10
00
10
10
10
00
00
11
00
00
00
00
00
00
01
10
00
00
00
00
00
10
11
10
01
00
01
10
10
00
00
00
10
10
10
10
10
00
01
11
11
11
00
10
00
10
00
10
00
10
00
10
00
01
11
11
10
00
00
10
01
00
10
11
01
00
00
01
11
11
10
10
01
10
00
00
10
11
10
10
01
00
10
11
11
11
01
00
10
00
10
11
00
00
10
00
10
00
10
00
01
00
10
01
00
10
00
00
00
11
10
10
11
00
10
01
01
01
00
11
00
01
01
11
00
11
10
00
00
11
00
11
11
10
10
10
00
01
00
00
01
10
00
10
10
10
01
11
10
00
10
00
01
10
10
00
01
10
00
00
11
11
11
00
01
11
11
01
11
11
00
00
10
01
00
10
10
00
00
10
00
00
11
00
10
00
11
00
10
11
01
01
00
00
10
00
00
11
00
00
11
10
01
10
10
00
10
00
00
01
11
01
10
00
00
10
10
01
00
11
10
10
11
01
00
10
10
10
00
00
10
01
00
00
10
10
01
00
11
00
01
10
00
01
11
10
00
10
10
01
10
00
10
01
01
01
11
01
10
10
11
00
00
10
10
00
10
10
00
11
10
00
00
10
00
00
01
10
01
01
00
00
11
00
11
10
01
01
10
00
10
00
00
11
11
10
11
00
00
01
00
11
01
00
10
01
10
01
00
11
00
10
00
11
10
00
11
11
10
11
01
00
10
11
01
10
10
00
00
10
10
00
10
10
10
00
11
00
10
00
10
00
00
00
10
00
11
10
00
01
00
00
10
00
01
00
11
10
11
11
00
11
10
01
01
10
10
01
10
11
11
00
01
10
01
00
01
00
10
11
11
10
01
01
10
11
11
01
00
10
10
10
11
00
00
10
10
01
00
00
11
11
01
00
10
10
01
00
10
00
00
10
01
00
10
01
01
00
11
11
00
00
00
11
10
10
01
00
10
00
01
01
00
00
01
01
11
10
00
01
10
01
10
10
11
00
00
00
10
11
00
10
01
10
00
11
10
00
01
01
10
00
00
10
10
10
01
10
10
01
01
01
00
00
11
10
10
00
00
10
11
00
10
00
00
00
00
00
11
10
11
10
10
01
01
00
00
11
10
11
00
01
10
11
10
01
10
10
00
10
11
00
01
11
11
00
10
00
01
00
11
10
00
10
11
11
00
00
10
01
11
00
01
10
10
00
00
11
10
00
00
10
00
01
00
01
10
01
11
10
01
10
11
00
00
10
00
01
11
10
01
00
01
00
00
10
10
01
10
00
11
11
00
00
10
10
00
01
10
00
00
10
10
10
00
00
01
10
00
10
11
00
11
10
11
00
10
10
01
00
10
10
00
10
01
00
00
00
10
10
10
10
10
10
00
00
00
11
01
00
11
11
01
01
01
10
10
00
11
10
00
01
11
00
11
00
01
10
10
11
00
10
00
10
10
00
10
00
00
10
00
10
00
10
00
00
10
01
00
11
01
10
00
10
00
10
10
01
00
00
00
11
11
00
10
11
00
00
01
10
10
00
01
00
00
00
01
00
00
10
10
01
10
01
01
10
11
01
01
00
01
10
10
00
00
10
10
00
00
00
10
11
11
10
01
00
10
00
10
00
00
01
00
00
01
01
01
00
10
00
00
00
10
10
00
00
10
10
10
10
10
11
10
11
00
00
10
10
10
01
01
11
11
00
00
00
01
10
10
01
00
01
10
10
01
10
00
00
00
11
11
01
10
01
10
00
10
00
01
10
11
00
00
00
10
10
10
00
11
10
00
00
01
01
10
11
01
10
11
11
10
01
11
10
01
01
11
00
01
10
10
00
10
11
01
11
11
00
10
00
00
00
01
10
10
01
01
10
00
01
10
01
11
11
00
11
00
10
01
00
10
10
00
10
00
11
10
01
10
00
00
11
10
10
10
11
00
00
01
01
11
01
00
11
10
00
10
11
01
01
00
10
01
00
00
10
11
10
00
10
01
00
01
00
01
00
10
00
10
10
10
00
00
11
00
10
10
01
00
01
01
10
11
00
00
10
01
01
11
01
00
00
00
00
01
11
10
00
00
10
11
00
11
10
00
10
10
11
11
10
01
01
10
11
00
10
10
01
00
00
00
11
00
10
10
10
00
00
11
11
00
10
10
00
01
00
11
11
10
01
01
10
01
10
11
10
01
10
11
00
00
00
10
11
10
11
01
11
00
10
10
00
00
11
10
00
00
11
10
01
11
10
11
10
00
01
10
10
00
00
11
00
00
11
10
11
00
10
11
11
10
11
01
01
10
10
00
10
00
00
00
10
10
11
11
11
00
01
10
01
10
00
00
00
10
10
01
10
01
10
00
00
11
00
00
10
10
11
00
10
01
00
11
01
10
10
00
10
10
10
00
01
10
11
00
00
10
00
11
00
10
10
00
00
11
10
00
00
10
11
00
10
10
00
00
00
10
01
10
11
10
00
11
11
01
10
10
11
10
11
00
01
10
11
00
01
11
00
00
10
00
01
10
11
11
01
00
10
10
01
01
10
01
00
00
00
00
10
10
01
00
01
11
10
11
00
11
00
00
11
01
10
11
10
00
10
00
00
10
10
10
01
00
10
10
11
00
11
00
01
00
00
00
11
10
00
01
10
00
00
10
00
00
10
10
11
11
00
10
00
11
11
01
10
10
10
00
00
11
00
00
00
10
10
01
10
01
11
10
11
00
01
00
11
01
10
11
01
01
00
10
11
10
01
01
11
11
10
11
00
00
10
11
01
00
00
10
11
10
00
00
00
00
00
00
10
11
01
00
10
10
01
10
00
01
10
10
10
00
10
10
10
00
10
10
00
10
11
00
10
10
10
01
00
10
01
00
11
01
00
00
10
00
11
10
01
11
00
00
10
10
00
10
11
10
10
00
10
11
10
01
10
10
00
00
10
11
00
00
11
11
10
01
01
01
11
01
00
10
10
00
10
10
01
00
10
10
10
10
11
10
10
10
10
10
00
10
10
11
01
10
11
11
10
00
01
00
10
01
00
01
10
10
10
11
00
01
00
10
10
11
00
01
00
11
10
00
00
00
00
11
10
00
10
10
10
11
10
00
10
10
10
00
10
00
00
00
01
11
10
11
10
00
00
10
10
00
01
10
10
10
00
01
11
10
00
00
10
00
10
00
10
10
10
01
10
11
10
10
11
01
10
01
01
10
10
10
11
01
11
00
10
10
00
10
01
01
10
01
00
00
00
01
10
00
00
10
11
01
00
10
00
00
10
10
00
00
00
11
10
00
01
11
11
00
00
10
11
10
00
10
10
10
10
01
11
11
11
10
11
00
00
00
00
10
10
01
00
00
10
10
01
10
10
00
11
10
00
01
00
00
11
10
11
00
10
11
11
00
11
10
01
00
11
01
11
10
00
00
11
00
00
10
10
01
10
11
00
01
00
00
10
00
10
01
10
11
01
11
11
11
00
01
10
11
00
00
10
10
01
01
10
11
10
01
10
11
00
11
10
01
10
00
01
10
10
00
00
10
00
10
10
11
01
00
01
00
10
10
00
11
10
01
00
10
00
00
01
10
01
11
10
10
00
11
10
10
00
00
00
10
00
01
00
10
10
00
11
01
10
10
00
10
11
00
00
10
01
00
00
00
10
01
11
10
11
10
00
00
00
00
00
10
10
00
10
00
00
00
01
00
11
11
01
00
00
11
11
10
00
00
10
10
10
00
01
00
11
00
00
10
10
10
00
10
10
11
10
00
10
00
10
10
01
01
00
10
00
01
00
00
10
01
01
01
10
10
00
00
10
00
10
10
11
10
01
00
00
11
00
01
10
01
10
00
00
00
11
01
01
11
00
00
01
10
10
00
10
01
10
10
10
10
11
10
00
00
00
00
10
00
00
10
01
10
10
00
00
10
00
01
00
10
10
11
01
10
10
11
00
01
01
10
00
10
10
01
11
10
00
01
10
01
10
00
11
11
11
00
10
11
10
00
01
01
11
00
01
10
11
01
01
10
10
11
00
00
11
00
01
11
10
00
10
10
00
11
10
01
00
10
10
00
00
00
11
11
00
10
00
01
00
00
10
00
01
10
11
01
00
11
10
10
00
10
10
01
01
11
10
00
01
11
10
01
10
01
11
00
10
10
01
00
00
10
00
01
00
10
10
11
10
10
11
00
01
11
10
00
00
10
11
10
00
10
10
10
00
01
00
00
01
10
00
01
11
00
10
10
01
00
11
10
01
01
11
10
10
01
00
10
10
01
10
00
10
00
10
10
01
10
00
10
00
00
10
01
00
10
11
10
10
10
01
10
10
10
11
10
01
11
00
10
11
11
01
00
10
00
00
01
11
10
01
00
01
10
00
11
10
10
01
01
11
00
01
00
10
10
00
10
10
11
00
00
10
00
00
11
11
01
11
11
10
01
10
11
00
00
10
10
10
00
00
11
00
10
11
01
11
00
00
01
00
01
10
01
10
01
00
10
00
10
00
00
00
10
11
00
00
00
10
00
11
10
01
11
00
10
00
10
11
00
00
00
10
01
00
00
10
00
10
00
00
00
01
11
01
01
00
11
11
01
11
10
01
00
01
00
10
10
01
11
00
00
10
10
01
10
10
01
01
10
11
00
10
00
00
00
00
11
11
00
00
00
10
10
11
01
00
11
11
01
11
10
00
10
10
00
11
10
01
11
00
11
01
10
10
00
01
00
00
00
00
10
10
10
00
11
10
10
10
00
00
10
00
00
00
11
11
10
11
01
01
10
00
10
10
00
00
10
10
11
00
00
00
00
10
10
01
00
10
10
11
10
10
00
11
10
10
11
10
11
10
00
00
00
10
10
11
10
01
00
10
01
00
11
00
10
11
00
00
00
10
10
11
00
00
00
10
01
01
01
10
00
01
01
10
10
00
00
01
00
10
10
00
10
00
11
00
10
00
10
00
01
00
10
00
10
00
00
00
10
11
10
10
00
10
01
01
10
10
00
10
10
01
01
10
11
01
10
11
00
10
11
00
00
01
11
11
01
11
01
01
11
10
01
00
10
10
10
01
00
11
10
10
00
10
00
10
11
00
00
01
01
00
01
10
01
10
01
10
11
00
00
00
00
10
11
00
01
10
01
10
10
10
01
01
10
10
00
01
10
10
00
11
11
11
00
01
00
10
01
01
10
10
10
00
11
00
01
11
10
11
00
11
10
00
00
11
10
00
10
11
00
01
01
00
11
00
00
00
00
11
10
10
10
01
00
11
01
10
10
01
00
00
10
10
00
01
10
10
00
00
10
11
00
10
00
10
10
11
10
10
00
01
10
10
00
00
10
11
00
10
10
00
10
11
00
00
10
11
10
11
10
11
11
00
10
00
10
10
00
00
10
10
10
01
11
01
00
01
01
11
10
00
01
10
11
00
00
10
00
00
10
00
10
01
10
01
01
10
00
11
00
01
11
10
10
10
00
11
10
01
00
01
00
01
10
10
11
01
01
11
10
00
10
10
00
00
10
01
11
10
10
01
00
11
00
10
00
01
10
00
00
11
01
11
01
00
00
10
00
01
10
11
00
00
01
00
00
01
10
10
11
00
11
11
10
00
10
10
10
00
01
10
00
10
00
01
00
00
10
00
00
10
01
10
00
11
00
01
00
00
10
10
10
10
00
00
00
11
10
01
01
00
10
00
10
10
01
00
00
01
00
10
11
10
01
01
10
10
10
10
00
11
11
00
01
11
11
00
00
00
10
10
11
00
00
11
11
00
10
11
10
11
10
10
00
00
10
11
00
00
00
00
10
01
01
10
10
10
10
11
00
00
10
10
00
00
00
10
10
01
11
01
10
10
11
00
00
10
01
00
11
00
00
10
00
01
11
10
00
11
11
00
10
00
10
10
10
00
00
00
00
01
11
10
10
01
11
10
00
00
10
10
00
01
10
11
00
10
10
10
00
11
10
10
10
10
11
00
01
10
00
00
00
01
10
00
01
10
10
00
10
01
00
00
00
10
10
10
00
01
10
10
11
10
00
10
10
00
10
11
10
11
01
01
10
01
10
11
00
01
00
10
01
00
01
10
11
10
10
11
00
01
11
00
00
00
00
00
10
10
01
00
10
11
01
11
10
00
00
00
00
11
10
01
00
00
01
00
01
11
10
10
10
00
10
11
00
10
00
01
10
10
00
10
11
10
01
11
11
01
01
10
00
10
11
10
00
00
10
00
01
00
10
00
00
00
00
00
10
10
00
01
11
00
00
00
10
11
11
10
01
11
11
10
00
00
00
11
11
11
11
10
01
01
10
10
00
01
00
11
10
01
10
00
00
00
11
11
10
01
01
00
10
01
10
01
00
10
00
00
01
11
10
01
00
10
10
01
00
00
00
11
01
00
00
10
10
10
10
00
00
10
11
11
00
10
01
00
10
10
00
10
00
00
11
10
10
00
00
11
01
10
10
01
10
10
00
10
00
01
10
01
10
00
00
10
00
00
01
00
00
10
10
00
10
01
11
00
11
00
01
00
10
11
00
00
10
10
01
01
00
01
11
11
00
11
11
10
00
00
10
11
00
01
00
10
11
10
00
10
11
01
11
10
00
00
00
01
00
11
10
10
10
11
00
01
00
11
00
11
10
01
00
01
10
00
10
00
00
10
11
00
01
10
10
01
11
00
11
00
00
11
10
00
01
10
11
10
10
10
10
11
10
11
00
10
00
10
11
10
00
00
10
00
10
00
10
00
01
10
00
11
00
10
10
11
00
10
10
00
10
10
11
00
01
10
10
10
00
10
00
00
10
10
10
10
00
11
00
00
10
10
00
01
10
01
11
00
10
00
10
10
00
00
00
11
10
01
00
10
10
00
00
01
00
10
01
00
00
01
00
10
00
11
00
11
10
01
11
00
10
10
11
00
10
10
00
01
10
11
10
00
11
00
01
00
00
10
00
10
00
11
11
00
10
11
10
10
11
01
00
10
00
00
10
10
11
10
00
10
10
00
01
10
00
01
00
10
00
00
10
01
10
00
00
10
10
01
10
11
00
01
00
01
01
00
10
11
00
01
01
10
11
10
10
00
00
11
00
10
10
01
10
01
00
10
00
00
10
11
00
01
10
01
10
00
00
00
11
10
10
10
00
00
10
00
01
00
10
00
00
11
10
00
01
01
11
11
11
01
10
11
10
01
00
10
01
00
11
01
10
10
01
00
01
11
10
00
01
10
10
11
10
01
00
00
00
10
01
11
11
00
00
11
00
11
10
00
11
00
10
11
11
11
00
00
00
10
10
10
10
10
00
10
11
01
00
00
10
00
01
00
01
11
10
01
01
00
00
01
10
10
00
10
01
10
10
01
11
00
11
10
00
10
11
11
00
00
10
00
00
10
00
01
01
00
11
00
00
00
10
00
00
00
00
00
10
01
00
10
00
00
10
10
10
00
10
01
00
10
10
11
10
00
11
00
00
10
11
01
10
11
00
10
10
00
00
11
10
11
00
00
10
00
10
00
01
11
10
10
00
10
01
11
00
01
10
10
10
10
11
01
11
10
11
00
01
11
10
00
01
10
11
10
00
10
11
10
00
01
10
01
11
11
01
11
01
00
10
11
00
00
10
10
11
11
01
10
00
10
11
11
00
00
11
10
01
00
10
10
10
11
00
00
11
00
01
10
11
01
10
10
00
01
10
00
00
10
10
00
00
10
10
00
10
00
11
10
11
11
01
00
10
00
00
00
10
10
00
10
00
11
01
11
00
10
11
10
10
01
01
11
00
10
01
01
00
11
10
01
01
00
11
00
01
10
00
10
10
00
00
00
11
10
10
11
01
10
10
00
10
00
00
00
00
10
00
11
10
10
00
00
01
10
10
00
11
10
10
00
10
11
00
00
10
11
00
10
10
00
10
00
00
10
01
11
01
10
10
11
10
11
10
01
00
11
00
01
10
10
00
01
00
11
10
01
10
00
01
10
11
00
00
00
00
01
00
00
10
10
11
00
11
10
01
10
11
00
10
10
00
10
00
10
10
00
11
01
11
10
10
00
11
10
11
00
01
11
00
10
11
00
00
10
01
01
10
10
10
00
10
01
00
10
11
11
10
11
00
00
01
00
11
10
10
10
10
00
01
00
11
00
01
00
11
10
00
01
00
00
11
10
10
10
10
00
00
10
01
01
10
01
11
10
00
10
00
01
10
11
00
10
00
11
01
10
10
00
11
00
01
11
00
10
10
11
10
01
00
01
10
10
11
11
10
00
10
11
10
00
00
00
00
00
10
11
10
01
00
10
10
00
10
01
10
10
11
00
00
10
01
00
00
00
10
00
10
10
00
10
10
01
01
11
10
10
00
10
00
00
10
11
00
00
10
00
11
01
00
11
10
00
00
00
10
10
00
10
10
10
10
01
00
10
11
01
10
00
10
11
11
11
00
00
10
10
11
00
10
10
01
01
01
11
10
10
11
00
01
10
10
01
01
10
00
00
10
00
10
11
01
10
10
11
00
00
10
00
11
10
00
00
10
00
10
00
10
00
00
10
11
00
10
11
10
00
10
01
01
01
10
11
00
00
00
10
10
00
00
10
00
01
00
10
00
10
00
10
10
11
01
01
00
01
11
11
11
10
00
10
11
01
01
10
11
00
10
10
10
00
00
00
11
10
10
01
01
11
00
00
11
10
00
10
00
10
01
11
11
00
11
11
01
00
10
01
00
11
01
10
11
00
01
11
10
00
10
10
01
00
01
01
10
10
10
00
01
01
10
10
00
01
00
11
11
00
11
11
00
11
00
00
00
00
11
10
01
01
10
01
01
10
10
00
10
00
00
10
01
10
10
00
11
10
01
10
00
10
00
00
00
00
10
01
10
01
00
11
01
00
01
00
11
00
10
11
01
11
10
01
00
11
00
00
10
11
00
01
01
11
10
10
10
10
01
00
10
11
00
00
10
10
00
00
11
11
10
00
01
00
00
00
11
10
10
11
00
00
01
10
10
11
01
10
10
11
00
11
00
00
11
00
01
11
01
00
00
00
10
10
00
10
10
10
00
10
10
10
11
00
00
01
10
11
00
11
00
00
01
10
10
10
00
01
10
00
10
00
10
01
11
00
01
10
11
01
10
01
10
11
00
10
11
10
11
00
01
10
01
00
10
00
10
10
00
01
01
11
00
10
10
10
00
01
00
00
01
00
10
11
10
10
10
10
10
00
10
01
00
01
11
10
00
00
10
11
11
00
10
11
00
01
00
10
00
01
11
01
00
00
11
10
10
10
10
10
10
00
00
10
00
01
10
10
00
00
00
10
10
00
00
10
11
00
00
01
00
10
01
00
00
10
11
10
00
11
10
00
10
00
01
00
10
01
11
10
10
10
00
00
10
10
00
00
10
00
00
11
10
11
00
10
10
01
01
00
10
10
11
00
10
10
10
00
00
00
10
01
00
01
00
10
01
00
10
10
00
01
11
10
11
00
00
01
00
10
10
01
00
10
10
11
11
00
00
00
11
00
00
00
10
00
01
00
10
10
01
00
10
11
00
00
10
01
01
00
11
11
11
10
10
10
00
01
11
00
00
11
10
10
10
00
10
01
11
10
10
00
00
00
10
01
00
10
10
00
01
01
11
10
10
01
00
01
10
01
00
11
01
11
00
10
01
11
01
01
11
11
00
00
11
11
00
00
10
10
01
00
01
10
10
10
00
00
01
10
10
00
10
01
10
10
10
10
00
10
00
01
11
11
10
11
10
00
00
01
00
00
00
11
10
10
10
00
00
10
10
01
00
01
10
11
10
01
11
10
10
00
00
00
00
10
10
01
11
00
10
00
00
10
01
01
10
10
00
00
01
00
10
00
10
10
00
10
00
10
01
11
11
00
00
00
11
01
10
01
01
00
10
00
00
01
11
10
10
11
10
00
10
10
10
10
10
11
01
01
10
00
11
10
01
10
00
00
00
01
11
01
00
00
11
10
10
10
00
00
00
10
11
10
01
01
10
00
11
01
10
11
01
11
10
10
01
00
00
00
11
11
11
01
00
11
10
00
00
11
10
01
11
01
01
10
00
10
10
00
00
01
00
01
00
10
00
00
10
01
10
11
10
00
00
10
11
10
10
01
11
10
11
11
00
01
11
11
00
10
11
10
11
10
00
01
00
10
01
01
10
10
00
00
10
10
11
01
00
00
10
00
11
11
11
10
11
11
00
00
10
01
01
10
11
01
10
11
00
10
11
00
00
00
10
10
11
11
10
11
10
01
10
01
01
00
00
11
10
01
10
10
10
00
10
00
00
00
00
10
01
10
10
11
11
10
10
10
00
00
00
00
11
10
01
11
00
00
00
10
10
10
01
00
10
10
10
11
00
11
00
11
10
00
10
01
01
10
01
11
10
10
01
10
00
11
11
01
00
00
11
00
01
01
00
10
10
10
10
00
00
00
10
10
00
00
00
00
00
10
11
10
11
10
11
10
00
01
11
10
01
11
11
00
00
10
10
00
01
11
00
01
10
10
11
10
11
00
10
00
11
10
10
10
00
10
10
10
10
01
00
00
00
10
11
00
10
11
00
01
01
10
10
10
00
01
00
10
10
00
11
00
10
11
00
00
10
00
10
10
01
01
01
11
11
00
10
00
01
00
11
11
01
00
10
11
00
01
10
00
10
10
00
10
00
00
00
10
10
10
10
00
00
00
01
11
00
10
00
11
01
00
10
00
10
11
00
10
01
10
11
00
11
10
00
00
10
11
01
00
10
10
01
01
10
10
00
10
11
11
00
00
10
00
10
00
10
01
10
01
11
01
01
10
10
00
10
00
10
10
00
00
11
10
01
00
00
10
11
00
00
00
10
10
00
10
10
10
00
00
00
11
00
10
01
00
00
01
00
10
11
01
10
01
00
01
00
10
00
10
00
10
00
00
00
00
00
10
00
01
00
10
00
00
10
00
10
00
10
11
11
11
00
10
00
01
10
11
11
00
00
10
00
01
00
10
01
00
10
00
10
10
01
00
01
11
10
00
11
00
10
00
10
11
10
00
10
10
00
01
10
00
11
11
00
00
10
10
10
00
01
11
10
11
11
10
01
11
00
00
01
10
00
00
10
10
00
10
01
11
10
01
00
00
00
11
00
11
00
11
00
00
00
11
01
01
10
00
00
01
10
11
00
00
10
00
00
10
00
00
10
10
10
11
10
10
10
01
10
00
10
11
11
10
11
01
10
11
11
11
11
01
10
00
01
01
01
10
00
10
00
10
01
00
00
10
11
00
10
01
10
11
00
10
00
11
00
00
10
11
00
01
11
10
10
00
11
00
01
10
11
00
00
00
01
00
10
10
00
00
00
11
11
10
00
11
10
11
01
00
01
10
10
11
10
01
00
10
00
10
11
01
00
10
11
01
00
01
10
01
10
10
11
00
01
10
00
01
10
10
00
10
11
10
01
01
00
10
00
10
00
00
01
00
10
11
10
11
10
11
00
01
11
10
10
01
00
00
00
11
10
01
10
01
00
00
11
11
10
10
10
00
11
00
10
10
11
00
00
00
10
10
10
01
00
00
11
10
10
10
11
01
01
11
10
00
01
10
10
01
10
10
10
00
01
10
00
00
00
10
10
01
01
10
10
00
10
11
11
00
01
01
11
11
01
10
01
00
10
10
11
00
10
10
00
00
10
00
10
10
11
10
00
10
00
00
11
10
10
00
11
00
10
10
00
00
00
00
11
10
00
01
10
10
01
00
11
10
10
10
00
00
11
10
10
01
01
00
10
00
00
10
01
11
10
00
00
00
10
11
01
01
00
10
10
00
00
10
10
10
00
10
00
00
00
10
11
00
00
11
01
00
10
10
00
11
01
10
11
11
00
00
00
01
10
10
00
10
11
11
10
00
00
11
10
01
10
10
00
01
00
01
11
10
00
10
11
00
11
11
00
00
01
11
10
00
00
01
10
10
00
01
11
01
11
11
01
00
01
10
00
00
11
11
10
11
00
01
10
11
00
00
01
10
11
01
00
10
10
00
00
00
00
00
00
01
00
01
00
10
00
10
00
01
00
10
00
00
10
01
00
11
00
10
11
11
10
01
00
11
00
00
00
10
10
11
10
00
00
01
11
10
01
00
00
10
00
11
10
01
01
10
10
01
00
10
00
01
10
11
00
10
01
10
10
00
00
01
10
01
11
10
10
11
10
00
10
10
00
00
00
10
01
10
10
01
00
00
10
11
00
00
10
10
11
00
01
10
11
10
00
10
00
00
10
10
00
10
11
10
11
01
11
11
00
00
00
11
10
00
11
10
00
11
11
11
10
00
00
00
10
00
00
10
11
01
01
00
00
10
10
00
01
01
00
11
10
00
00
10
10
00
00
11
01
01
10
10
10
11
00
00
00
00
10
10
10
11
11
00
00
10
10
01
10
11
00
00
10
10
00
10
11
00
10
00
11
10
11
00
10
00
11
00
11
11
00
11
10
10
10
01
00
00
00
11
10
00
00
11
10
10
00
10
10
11
10
10
00
10
00
00
00
10
00
00
00
01
10
00
00
11
01
00
10
01
10
10
00
00
10
10
01
00
10
11
00
10
01
00
10
00
00
10
10
00
00
10
01
11
10
01
10
10
00
10
10
00
11
00
00
11
00
01
00
11
01
11
00
10
10
00
00
10
10
00
00
00
10
10
10
11
01
11
00
00
10
00
00
11
10
01
10
10
00
01
01
10
01
01
01
00
00
10
01
00
00
10
10
00
00
10
01
10
00
11
10
00
01
10
11
00
11
10
00
01
11
00
01
10
00
11
10
00
00
01
10
11
11
10
01
10
00
00
00
10
01
01
10
00
10
11
00
01
10
11
10
10
11
10
10
00
00
10
10
00
10
10
00
11
10
11
00
00
10
01
00
00
11
00
10
10
01
10
10
01
10
10
01
00
11
00
00
01
01
00
11
11
00
00
00
00
00
00
10
00
10
11
01
00
10
00
10
00
11
10
01
00
11
01
10
00
10
10
00
10
11
00
00
00
10
10
10
11
00
00
01
10
10
10
00
00
01
00
10
00
10
11
00
11
10
10
01
10
11
00
01
00
01
10
10
10
01
10
00
01
10
01
00
00
01
00
10
11
10
00
10
00
00
10
10
00
00
01
10
01
11
11
01
00
10
00
00
10
10
10
00
11
00
01
00
00
10
00
00
10
10
00
00
11
10
11
00
00
10
10
00
01
00
11
10
00
11
11
10
10
10
01
00
00
00
01
10
10
11
11
10
00
10
10
10
10
01
10
11
10
01
01
00
01
11
00
01
10
10
00
10
10
10
00
01
00
10
10
10
10
00
11
00
00
11
01
10
00
00
11
11
00
10
10
10
10
11
00
01
01
10
11
11
11
00
11
10
00
11
11
00
00
10
10
10
00
00
00
10
10
10
01
10
10
01
01
11
10
11
00
00
10
10
00
00
10
10
01
10
00
11
01
10
01
00
00
10
00
00
10
10
11
00
00
01
01
10
10
01
01
10
10
00
00
11
10
00
10
10
10
10
10
00
01
01
00
10
10
10
01
11
00
11
10
10
01
01
11
10
00
00
11
00
01
11
01
00
00
00
10
00
00
00
11
01
11
10
01
10
10
11
00
10
10
01
11
11
01
01
00
00
11
11
00
00
10
11
11
01
10
01
00
10
00
00
00
10
11
00
10
11
00
00
01
10
10
00
00
01
00
10
11
11
10
10
10
01
01
10
10
01
00
10
10
00
11
00
00
10
11
10
01
00
11
01
01
11
00
00
11
00
01
00
10
10
00
11
01
11
00
00
10
10
10
10
11
11
01
00
00
10
10
10
01
10
01
11
11
00
01
11
11
10
00
00
10
10
01
00
11
10
00
10
10
10
11
10
00
01
10
00
01
01
11
00
10
11
10
10
11
10
01
00
00
00
10
11
10
11
00
00
00
00
00
10
10
00
01
10
00
10
10
00
00
10
11
11
00
11
00
01
10
10
00
00
01
10
11
00
11
00
00
01
11
10
10
00
00
11
01
01
10
10
11
10
01
10
11
00
00
00
00
00
10
11
10
10
01
00
10
00
10
11
10
00
00
00
10
00
10
00
01
10
00
00
10
00
10
10
00
10
00
00
00
00
10
10
11
10
01
10
10
10
00
11
11
01
01
10
11
10
01
01
10
00
10
10
01
10
11
10
00
00
01
01
01
00
00
00
01
10
10
11
11
00
10
00
01
11
11
01
00
01
01
00
00
10
11
01
01
01
10
10
10
10
00
00
00
10
10
10
11
11
01
00
00
00
11
00
01
00
10
00
11
10
01
01
10
01
10
10
10
10
00
01
11
01
10
10
00
00
10
00
11
10
00
00
11
00
10
11
00
00
11
10
01
10
10
00
10
10
00
10
11
10
11
10
00
00
00
10
10
10
00
11
00
10
10
11
10
00
11
00
00
11
01
10
10
01
01
10
10
01
00
01
01
00
10
10
10
00
10
11
01
01
11
11
10
00
10
00
00
11
10
00
10
10
11
11
11
10
00
10
10
00
00
01
10
10
01
00
11
00
01
00
11
11
01
10
10
00
01
00
01
00
10
10
01
00
01
11
00
10
11
10
10
10
01
10
00
00
00
10
10
10
11
01
00
10
01
01
10
00
00
00
10
10
00
00
11
10
01
00
00
00
11
11
00
00
10
10
11
11
10
00
10
10
01
01
00
00
00
10
11
11
10
10
00
00
01
11
10
11
00
00
10
11
10
00
00
00
11
11
10
00
01
01
00
01
01
11
11
00
10
00
10
11
10
01
00
11
10
00
11
10
10
00
10
10
00
00
10
10
11
10
10
01
01
00
10
11
00
00
01
10
00
01
00
11
11
00
01
10
10
00
10
10
10
11
01
00
10
00
00
01
00
00
10
11
10
00
10
00
10
11
00
01
10
10
01
00
01
00
10
10
10
10
00
01
10
10
00
00
10
00
00
11
00
10
10
00
10
01
00
00
10
10
00
01
00
10
00
00
10
00
10
11
10
01
10
11
01
10
11
11
10
10
00
01
00
10
10
01
00
10
10
01
00
00
01
00
01
00
10
10
00
00
11
10
11
01
00
10
00
00
00
01
01
00
10
10
00
00
10
00
00
11
01
00
01
10
00
10
11
00
10
10
00
10
10
10
10
10
00
10
11
00
11
10
00
00
10
00
00
11
11
11
10
10
01
00
00
00
00
10
01
10
11
10
00
01
10
11
01
10
11
11
00
00
00
00
01
00
10
11
01
00
00
10
00
00
10
00
00
01
01
10
00
10
10
10
11
01
00
10
11
00
10
11
01
10
01
10
00
10
11
00
00
00
01
00
11
00
00
10
10
01
01
11
10
11
10
01
00
11
00
01
10
00
01
10
11
10
00
00
10
00
11
11
00
11
11
11
11
10
00
10
10
01
01
00
11
10
00
10
10
10
00
00
00
00
11
00
10
10
10
10
00
10
10
10
01
10
01
10
11
00
10
11
01
11
10
00
00
10
01
00
10
10
01
00
00
00
11
10
01
00
11
11
01
11
10
10
01
01
00
01
10
10
00
10
01
10
10
10
11
01
10
00
00
11
10
10
11
01
10
01
00
11
00
10
01
00
01
10
00
11
11
00
00
10
10
01
10
00
10
10
00
00
00
10
10
10
00
11
10
10
10
10
01
11
00
10
01
11
10
00
00
10
10
00
00
01
01
10
11
00
01
10
00
00
00
11
11
01
00
11
11
10
00
00
10
00
01
10
10
10
00
11
00
10
00
10
10
00
10
10
00
01
10
01
11
01
00
11
01
01
10
11
11
11
01
01
00
01
10
11
10
00
11
10
00
11
00
00
00
01
10
00
01
10
10
10
00
11
10
00
00
00
10
11
10
10
11
11
01
00
10
11
10
10
01
00
10
10
01
11
00
00
10
00
11
00
01
10
00
10
00
01
10
01
00
10
10
00
00
01
10
01
01
00
11
11
10
11
01
00
11
01
00
10
00
01
00
10
00
00
10
10
10
01
10
10
11
01
11
10
10
10
01
10
01
10
10
00
11
00
00
11
01
10
00
10
10
10
10
10
00
00
10
10
11
10
00
00
10
00
00
10
01
11
10
10
00
11
11
00
11
01
00
10
10
10
00
11
11
11
10
00
10
00
10
11
10
00
10
10
10
00
00
11
00
10
00
01
10
00
11
10
10
01
00
10
10
00
00
11
00
01
00
00
00
10
00
11
10
11
01
01
00
10
10
00
10
10
10
00
11
10
10
00
10
10
11
11
00
00
10
01
11
10
10
01
11
00
01
11
00
10
11
00
01
00
11
00
10
00
00
00
00
00
10
00
00
00
10
00
00
11
10
10
00
00
10
10
11
01
11
00
01
10
10
00
10
10
00
00
10
01
10
00
00
10
11
00
10
00
11
10
00
10
00
00
00
10
10
00
00
01
11
01
11
10
00
00
00
11
01
01
10
11
11
11
01
10
10
10
00
00
01
10
10
01
11
00
00
00
10
10
10
00
01
01
10
01
01
10
00
10
10
10
00
10
01
01
01
10
11
00
00
01
00
10
00
10
10
01
01
10
11
01
10
10
00
01
11
00
00
11
10
01
00
10
11
10
10
00
11
10
10
10
00
00
00
10
10
00
00
00
00
00
10
10
10
10
10
00
11
00
00
10
10
11
00
01
10
11
00
00
10
10
11
00
11
11
01
10
00
00
10
00
00
10
01
00
10
01
11
11
10
01
10
01
00
10
00
00
10
10
00
01
10
10
11
00
10
00
00
00
10
10
01
11
00
10
11
01
10
10
01
10
11
00
01
00
11
00
11
10
01
01
10
01
10
11
00
11
10
10
00
10
10
01
10
01
10
01
00
00
00
10
10
00
01
10
11
10
00
00
10
01
10
01
00
00
10
00
11
10
10
00
00
00
00
01
10
01
00
10
00
01
10
11
10
00
00
00
00
11
00
10
00
11
10
11
00
01
00
01
11
00
10
10
11
10
10
10
00
00
10
11
00
00
10
00
10
00
01
10
10
00
01
01
00
00
10
00
11
10
01
10
00
10
00
00
10
10
00
10
10
10
00
10
00
01
10
01
01
00
11
00
00
10
11
01
10
11
00
00
11
10
10
10
01
00
10
11
00
01
00
10
11
00
00
01
00
10
00
11
00
11
10
10
00
01
11
00
00
00
10
10
00
11
10
10
00
00
00
10
10
10
11
10
10
10
10
11
00
01
10
10
00
11
10
00
01
10
01
10
10
00
10
10
01
00
10
00
01
11
10
10
00
10
01
10
11
00
01
11
11
11
11
10
01
00
01
01
10
11
00
11
11
11
00
00
11
01
01
10
10
10
10
01
01
00
10
01
10
01
11
10
10
10
00
00
00
00
00
10
10
00
10
00
11
11
00
01
11
10
10
10
11
11
10
01
10
11
01
00
10
10
00
00
10
10
10
01
10
00
11
11
00
00
10
10
11
00
00
11
10
00
10
10
01
11
00
00
00
00
00
00
10
10
00
00
00
00
11
00
00
00
10
10
10
10
01
01
10
00
01
01
00
00
10
10
10
00
00
00
01
10
10
00
10
01
00
01
10
10
01
11
10
01
00
10
10
00
00
10
00
10
00
01
10
00
00
11
01
10
10
01
01
00
01
00
00
00
01
10
10
01
00
10
11
00
10
00
10
10
00
10
00
10
11
01
11
10
00
01
10
00
00
10
01
01
10
00
00
10
01
10
11
00
00
11
00
00
10
10
01
01
01
00
10
00
11
10
10
10
00
10
01
01
11
10
01
00
10
10
00
11
10
00
01
00
00
00
00
01
10
10
10
01
00
01
00
10
00
01
11
10
01
01
00
01
00
00
10
10
10
10
01
00
00
10
10
01
00
11
00
10
10
10
10
11
00
11
10
00
11
10
00
01
01
00
00
00
11
00
11
10
00
01
11
11
01
10
10
10
00
01
00
11
10
00
11
10
01
01
11
11
00
01
11
00
00
10
01
00
10
10
00
10
00
01
10
10
00
10
01
10
00
01
01
10
11
00
11
10
11
00
00
00
11
10
10
00
01
10
00
00
10
11
01
10
01
10
00
01
10
00
11
10
01
00
00
10
00
10
11
00
00
10
01
11
10
00
11
00
10
10
00
00
11
00
00
10
01
11
00
00
01
00
10
00
00
10
00
00
10
11
10
01
00
11
00
10
01
00
10
10
10
00
01
10
00
11
00
01
00
10
10
11
11
01
00
00
10
10
00
11
10
01
00
10
10
00
00
10
01
11
01
00
00
00
10
10
00
00
10
10
01
01
01
11
10
00
01
10
01
01
00
10
11
00
01
11
10
11
00
00
10
01
00
10
10
00
01
10
00
00
11
10
01
01
10
01
10
10
01
00
10
00
01
10
00
10
00
01
10
10
10
01
10
00
00
11
11
01
01
00
10
10
10
00
01
10
11
10
01
00
01
10
00
10
00
01
10
10
11
01
00
00
00
10
00
00
10
01
11
01
11
11
00
00
10
10
10
00
01
11
00
00
10
00
10
01
00
01
10
11
00
00
00
10
00
11
10
00
10
10
00
00
00
10
10
00
10
10
00
01
01
10
10
01
01
01
00
10
10
00
00
00
00
00
01
10
10
01
00
00
10
10
10
01
00
00
01
11
10
10
00
00
00
00
10
10
00
11
10
10
01
01
01
00
11
00
01
10
11
10
01
00
10
10
10
01
00
00
00
10
11
01
00
00
01
10
11
10
10
00
11
01
10
10
01
10
11
01
01
11
11
11
11
00
00
01
10
10
01
00
10
10
10
00
01
10
11
00
11
00
10
10
10
10
00
00
01
10
00
10
00
10
00
10
01
10
11
10
10
01
00
11
11
00
00
00
00
11
00
01
01
11
00
11
00
00
00
00
10
00
00
10
00
10
11
10
01
10
11
01
00
00
11
11
00
01
00
00
00
10
11
00
10
11
00
00
00
00
00
00
10
11
10
11
00
10
10
00
00
00
01
10
01
10
00
10
00
01
10
00
01
10
10
11
10
00
00
11
10
11
00
00
00
11
01
10
00
00
10
00
10
00
11
11
01
00
11
00
11
11
00
00
11
00
01
11
10
00
01
00
10
01
00
11
10
11
11
10
11
01
10
10
10
00
00
10
00
00
00
01
00
11
10
10
11
10
00
10
10
01
00
00
10
00
10
10
00
00
01
01
11
10
10
10
00
11
10
01
00
10
10
00
00
10
10
10
00
11
01
00
11
00
11
00
11
10
00
10
10
00
00
10
10
11
11
11
00
01
00
11
10
01
01
00
01
11
10
00
00
10
10
00
01
11
01
11
00
10
00
00
00
10
10
01
01
00
11
10
00
10
10
10
01
00
01
10
11
11
00
10
11
00
01
00
11
11
00
11
10
10
01
11
00
11
10
00
11
10
00
10
10
00
10
00
10
11
01
10
01
10
10
10
10
00
11
00
00
11
00
00
01
10
10
00
01
10
11
10
01
01
11
10
10
00
10
10
00
00
01
00
11
00
11
00
11
11
00
10
00
10
10
11
01
11
00
10
11
10
01
01
10
10
00
00
01
00
10
00
10
00
11
00
00
00
11
10
11
10
00
00
00
11
00
10
01
01
10
10
10
01
00
10
10
00
11
10
00
00
00
11
10
01
00
10
11
00
10
00
01
11
00
10
11
01
11
01
10
10
10
10
00
00
10
10
10
10
01
10
01
01
00
00
10
10
00
10
10
10
10
00
10
10
10
00
11
10
00
00
00
00
10
11
11
00
01
11
00
10
00
00
11
10
01
11
01
10
01
00
00
00
11
10
01
10
00
11
10
00
10
00
11
01
11
10
00
00
01
00
10
10
00
11
10
11
01
00
00
00
10
00
00
10
00
11
00
00
00
01
10
11
00
00
00
10
00
00
10
10
01
00
00
00
11
10
10
11
10
00
01
10
11
00
01
10
00
00
10
00
01
11
10
00
10
00
11
10
01
00
10
11
11
10
11
01
00
00
10
10
01
00
10
10
01
10
01
00
10
10
01
10
10
00
01
10
11
10
10
01
00
01
00
01
10
01
10
00
11
00
01
11
10
11
00
00
00
00
10
11
00
00
10
10
10
10
00
10
01
11
11
10
00
01
10
11
01
10
11
10
00
11
10
00
10
00
00
00
10
01
10
00
01
10
00
01
00
10
00
10
11
01
00
11
10
01
10
01
01
10
00
00
10
10
01
10
10
00
00
00
11
00
00
11
00
00
11
01
00
10
10
10
00
11
10
01
10
01
00
11
00
00
00
10
01
00
10
10
11
00
01
10
11
10
10
10
11
10
00
01
11
10
01
10
01
01
00
10
10
11
00
00
10
01
00
00
11
00
00
00
00
11
00
00
10
00
10
00
01
01
10
10
00
10
01
00
10
00
00
11
11
01
10
10
10
00
10
10
00
01
11
00
01
00
10
11
10
10
10
00
00
01
10
10
01
00
10
11
00
00
10
10
11
00
10
01
11
01
00
10
00
10
00
10
01
00
11
10
10
00
11
11
00
10
10
10
00
10
10
00
00
11
10
00
10
10
01
10
11
00
01
10
10
10
10
00
10
10
01
10
10
01
10
01
01
11
00
11
00
11
11
10
10
10
00
01
00
10
10
00
01
10
01
01
00
11
00
01
11
10
00
00
10
11
11
10
00
00
00
00
10
10
00
10
00
00
11
10
01
01
10
00
10
00
11
10
01
00
11
10
10
11
00
10
11
11
10
10
01
00
01
10
01
00
10
10
00
00
00
00
10
10
00
00
11
10
00
10
11
11
00
00
01
11
00
00
10
11
01
11
00
10
10
00
11
11
00
00
00
11
10
10
10
01
10
00
01
11
10
00
00
11
00
01
00
10
00
00
10
01
00
11
00
11
10
01
01
10
10
10
10
00
11
10
10
10
11
11
11
10
00
00
10
11
10
00
00
10
10
10
00
01
00
10
01
10
00
00
10
01
01
10
11
11
01
11
11
00
00
10
10
10
01
10
11
10
00
00
10
01
10
11
00
00
00
10
01
11
01
00
01
10
10
10
01
01
10
11
00
00
00
00
10
10
00
00
01
10
00
10
01
10
10
00
10
10
10
10
00
00
10
10
00
10
01
01
01
10
01
00
11
00
11
10
01
11
11
01
00
11
10
00
01
10
11
00
10
01
00
00
00
10
11
11
01
01
01
00
11
00
01
10
11
00
01
10
10
11
01
00
10
00
00
00
01
10
10
00
10
10
10
01
01
10
00
01
10
00
01
11
11
10
10
00
01
00
10
00
01
00
00
00
10
11
01
01
10
11
00
10
00
10
10
00
00
10
10
01
11
10
10
11
10
10
10
00
00
10
11
01
01
00
01
00
11
11
10
00
10
10
00
11
00
00
10
00
10
00
00
10
10
11
01
01
00
11
11
00
10
01
10
10
00
00
10
10
01
00
10
11
01
11
11
00
00
11
01
10
01
00
11
00
01
00
10
00
00
10
10
10
01
01
10
11
00
10
10
00
00
00
10
10
11
01
00
00
10
11
00
10
00
00
00
10
00
11
10
00
00
11
01
00
11
11
01
00
11
11
11
10
00
00
10
10
00
00
11
00
00
11
00
10
01
00
11
10
10
11
10
00
01
10
11
11
01
00
00
01
10
00
11
01
01
00
10
10
00
10
10
01
00
10
10
00
10
01
00
10
10
10
00
10
00
00
11
10
11
11
11
10
01
00
01
10
11
00
01
00
00
10
11
00
10
01
01
11
00
10
00
01
10
10
10
01
10
01
10
11
11
00
00
00
10
10
01
00
01
10
00
01
11
00
00
00
10
11
10
00
01
01
10
11
10
11
00
00
00
00
00
10
01
00
11
00
10
00
10
01
10
01
00
01
11
10
11
10
01
00
00
10
01
00
10
10
10
10
00
00
10
10
01
00
11
10
01
11
10
00
10
11
10
00
10
10
00
00
01
01
10
00
01
00
11
00
10
00
10
00
10
10
01
10
10
11
10
10
00
00
11
10
11
01
10
01
10
00
10
01
00
11
11
10
00
00
11
01
01
11
11
11
00
00
10
10
01
00
10
10
00
01
10
11
01
01
11
10
00
11
10
01
10
11
01
10
11
10
01
01
10
11
11
10
10
11
01
10
00
00
11
11
10
10
01
01
10
11
10
11
10
01
10
00
00
00
10
10
10
00
00
10
00
10
10
10
10
10
10
00
00
11
10
01
00
10
00
00
11
10
00
00
10
10
10
01
11
01
11
10
11
00
01
10
10
10
00
00
10
10
00
10
10
00
10
01
00
00
01
00
00
10
01
00
00
10
10
10
00
00
11
11
10
10
00
00
01
10
10
01
01
10
01
00
10
10
10
00
01
10
10
10
00
10
01
01
10
10
00
00
00
00
10
10
10
10
10
01
10
10
00
10
00
01
10
01
10
11
01
10
10
00
10
10
10
01
01
11
00
10
01
00
00
11
10
00
10
01
00
01
01
10
01
00
10
00
01
11
10
00
11
00
00
10
10
10
01
00
00
10
00
11
00
10
10
00
00
11
10
00
10
00
00
00
01
10
11
11
00
00
00
00
01
11
01
10
10
11
00
10
00
00
01
00
11
10
10
01
00
11
00
01
10
00
10
00
10
00
10
11
00
00
10
10
00
00
11
01
10
11
11
01
00
10
01
00
10
10
11
10
10
10
10
10
10
01
00
00
10
11
10
11
10
10
01
00
00
01
00
10
10
01
00
00
01
01
01
00
00
11
10
00
00
10
10
01
11
00
11
10
10
11
10
01
01
10
11
10
01
11
10
00
11
10
01
00
01
10
00
00
00
01
10
10
00
01
10
00
11
00
10
00
00
11
00
10
00
11
10
10
10
01
00
11
00
00
00
11
10
01
00
11
11
00
10
11
00
01
10
00
01
10
10
11
10
01
00
11
11
01
01
00
10
01
00
01
10
10
01
01
01
00
10
10
10
10
01
01
10
10
10
11
10
11
00
00
10
00
00
10
00
01
00
00
00
10
10
01
10
11
01
10
00
11
00
00
00
10
00
00
01
10
00
01
10
01
00
00
00
00
01
10
01
00
10
00
11
10
00
10
00
00
10
11
00
10
10
01
10
00
00
11
11
00
11
11
01
01
10
10
10
10
00
10
00
00
10
11
00
01
10
00
11
10
01
00
10
10
00
10
00
10
11
00
10
10
11
00
11
11
11
11
10
10
00
01
11
10
00
10
10
00
01
00
10
10
01
11
11
01
11
10
00
00
01
01
11
00
00
10
11
00
00
10
00
00
10
01
10
11
01
11
01
10
00
00
00
11
00
10
10
01
11
10
00
11
10
00
10
01
10
11
00
10
10
10
10
00
10
00
01
10
00
10
10
11
01
11
10
10
10
11
01
10
10
01
00
11
10
01
00
10
00
10
00
01
10
00
01
00
00
10
11
11
10
11
00
10
10
11
00
10
01
10
00
00
11
11
01
00
01
00
01
00
10
11
00
00
01
01
11
00
01
10
10
00
00
01
10
10
01
01
10
01
00
10
01
01
10
10
00
00
00
01
10
10
01
00
00
00
00
11
00
00
10
01
11
11
00
00
00
10
00
01
00
10
00
00
10
10
10
00
01
10
10
10
11
10
10
10
00
10
10
10
10
01
00
10
10
01
00
10
00
00
01
10
11
01
10
10
10
00
00
01
10
00
00
10
00
10
10
00
00
00
10
00
11
10
11
11
00
10
11
01
11
01
01
10
11
00
00
00
00
11
10
01
00
10
11
10
10
10
01
00
11
00
00
00
10
01
10
10
00
10
10
01
00
11
11
00
00
11
00
00
11
00
00
01
00
11
01
10
10
00
00
10
11
00
01
01
10
11
10
00
10
11
00
00
10
01
00
11
00
00
10
11
00
01
00
01
11
11
01
11
11
01
11
10
00
01
11
11
11
01
00
11
10
10
00
00
10
10
01
01
00
11
00
01
00
10
00
10
11
00
10
11
01
00
00
00
01
10
00
00
10
10
11
00
00
10
10
10
00
11
10
00
01
10
10
11
00
01
00
10
10
00
00
00
01
11
10
00
00
00
01
11
00
01
00
11
01
11
10
10
11
10
10
00
10
00
00
10
11
10
01
01
01
01
10
00
10
00
00
10
10
01
11
00
01
10
00
10
11
10
00
00
11
00
00
00
11
10
00
00
10
00
00
00
01
11
10
11
10
10
11
00
11
10
00
01
11
10
00
01
10
11
10
10
10
10
00
00
11
11
11
00
11
00
00
10
10
00
00
10
01
00
10
01
10
11
11
00
00
10
10
00
01
10
11
00
10
00
10
10
00
01
10
10
01
00
00
00
00
10
00
00
11
00
00
10
10
10
10
00
00
10
01
11
10
00
10
00
10
01
00
00
00
11
11
00
10
10
00
00
01
00
11
10
01
01
00
01
00
10
10
10
10
11
00
10
00
01
01
11
01
00
00
10
10
10
11
10
01
10
00
10
10
00
01
10
00
00
01
00
00
11
10
01
10
00
10
00
01
01
11
11
00
11
00
01
00
10
11
01
10
10
01
10
11
00
00
00
11
01
11
11
11
11
00
00
00
11
11
01
01
10
10
00
10
11
00
10
01
10
00
00
00
10
00
00
10
00
01
00
01
10
10
10
00
10
00
00
00
10
00
10
00
10
00
00
01
01
10
10
10
11
11
01
01
10
11
01
11
11
00
00
10
10
00
01
10
10
11
11
01
10
01
10
11
10
11
00
00
01
01
01
10
11
00
01
10
10
00
00
10
11
10
01
00
01
10
10
10
00
10
10
11
00
00
00
10
10
01
00
10
01
00
10
01
10
01
01
11
00
00
10
11
00
11
00
00
10
10
00
01
01
10
00
00
10
00
01
10
10
10
01
10
01
10
10
00
11
00
10
11
00
11
00
01
10
01
00
10
00
01
10
10
00
01
10
10
00
00
10
00
01
10
10
00
01
00
11
10
00
01
11
00
10
00
00
00
00
10
10
01
10
11
01
00
00
01
01
00
10
10
00
10
10
00
10
11
11
10
00
00
01
00
10
00
00
11
10
00
10
10
00
10
10
10
01
00
10
00
01
11
00
01
00
11
00
10
11
10
00
00
01
00
10
10
10
00
00
01
11
00
10
11
11
01
00
11
01
11
00
10
01
00
10
11
10
00
00
11
00
10
00
00
10
01
11
10
01
00
00
00
10
10
00
10
11
01
11
10
10
10
10
00
00
00
10
11
01
01
00
01
00
11
01
11
10
00
00
10
01
00
11
10
01
01
01
11
01
00
00
10
10
00
01
11
10
10
11
00
00
00
00
00
00
10
10
00
11
00
00
00
01
00
00
11
11
10
11
00
00
11
11
00
11
01
01
11
10
00
10
10
00
01
10
10
00
01
10
10
11
00
10
00
10
11
00
10
01
10
10
00
01
00
00
10
01
00
10
00
11
00
01
01
10
01
10
01
11
11
01
01
10
10
10
10
00
01
11
11
01
10
00
00
11
00
11
10
00
00
00
10
11
00
00
00
10
11
00
01
10
00
00
01
00
10
10
00
00
10
10
10
00
00
00
00
10
01
11
10
10
10
00
10
00
00
10
11
01
10
00
00
10
00
00
01
01
00
10
10
10
01
11
01
01
00
00
00
10
11
10
10
01
00
01
00
10
00
00
00
00
00
10
01
11
00
10
01
10
00
10
10
10
11
01
10
00
10
01
00
00
10
11
10
01
10
11
10
00
00
00
10
10
11
10
00
11
11
00
00
11
11
10
00
10
01
10
00
11
00
00
00
01
10
01
01
00
01
01
10
00
10
11
00
10
10
00
00
10
10
00
00
01
00
11
10
11
10
10
11
01
11
00
00
00
00
01
01
10
11
00
00
00
00
00
11
01
01
00
00
00
10
01
11
10
10
01
10
00
10
00
01
00
10
11
10
10
01
00
11
00
01
00
00
10
11
01
01
00
10
11
10
11
00
00
00
11
10
11
00
00
11
01
01
11
11
00
10
00
01
11
10
01
01
00
11
00
10
01
11
00
00
00
10
10
00
10
10
00
10
10
01
10
00
10
10
00
01
10
10
00
10
00
11
10
00
01
00
01
01
11
00
10
10
10
11
01
10
00
00
10
00
01
11
10
10
01
01
00
11
11
00
10
00
10
10
00
00
10
00
00
01
01
00
10
00
10
00
00
01
01
10
11
10
10
01
11
11
00
01
11
10
00
10
11
10
10
01
11
10
11
00
00
11
10
01
00
11
11
10
10
00
00
01
00
00
10
10
10
10
00
10
11
10
00
10
10
00
10
10
00
10
10
10
10
00
00
10
00
00
00
01
00
00
10
00
00
00
10
10
00
01
00
10
10
11
00
01
11
11
00
01
01
10
01
00
11
01
10
11
10
10
00
11
11
01
00
10
00
00
00
10
10
00
00
11
10
00
11
10
11
00
00
00
11
10
10
11
01
11
11
00
10
00
00
10
10
01
00
00
00
10
00
11
01
10
10
00
10
11
01
10
00
01
11
01
10
10
00
01
10
00
01
10
10
01
01
10
10
10
10
00
00
10
10
00
00
11
00
11
00
11
01
00
10
10
11
00
10
10
01
00
10
11
10
01
00
11
01
00
01
10
10
01
11
01
10
10
10
11
00
10
01
01
00
01
11
10
11
00
10
01
00
10
10
00
10
10
01
01
01
11
00
10
11
00
00
11
10
00
00
01
10
11
10
00
11
00
10
10
01
01
00
11
10
00
00
11
11
11
11
00
01
11
11
10
00
10
10
10
00
00
00
01
11
01
10
00
00
10
01
01
00
10
10
00
10
00
00
10
01
10
00
00
00
10
00
01
10
00
11
01
00
00
00
11
00
01
10
01
11
01
00
00
01
10
00
00
10
01
01
00
00
11
01
00
00
10
10
00
10
10
00
01
01
00
11
00
11
00
00
10
10
10
00
00
10
00
00
10
01
10
11
01
00
11
11
00
00
00
10
11
01
00
00
11
11
00
11
10
11
00
00
00
00
10
10
01
10
10
10
00
00
00
10
00
10
00
11
00
10
10
00
11
00
01
10
11
10
11
01
01
10
11
01
00
11
10
10
10
10
00
01
10
11
10
10
01
01
01
10
11
10
01
00
00
10
00
00
10
11
00
10
01
01
10
00
01
10
00
00
11
01
10
10
00
00
10
01
11
00
11
00
00
10
10
10
10
00
00
00
01
00
00
01
11
11
00
01
10
00
11
00
00
10
00
10
10
00
11
10
01
01
11
00
01
00
11
10
00
11
10
00
00
00
10
00
11
11
00
01
00
00
10
00
10
01
00
11
10
01
10
00
10
11
10
01
01
00
11
10
00
00
00
10
11
10
00
10
11
00
00
01
10
10
10
00
00
10
11
01
10
10
11
00
01
10
01
11
01
01
10
11
01
10
10
10
00
00
11
11
10
11
00
00
11
01
00
10
10
01
10
00
00
10
00
00
00
10
00
01
10
10
00
00
00
10
11
00
00
10
11
10
00
10
10
00
10
00
01
10
00
10
01
00
10
00
10
11
10
10
01
00
10
10
10
10
01
10
10
10
00
10
10
01
10
11
10
00
10
00
11
11
00
00
01
00
11
10
01
00
00
00
11
10
10
00
01
10
11
01
00
01
10
00
00
10
11
00
11
11
10
11
10
00
00
00
10
10
00
00
10
10
00
10
01
10
00
10
10
10
00
00
10
10
01
10
10
11
11
10
01
11
10
01
00
00
00
11
11
10
10
11
11
01
00
10
00
01
00
10
11
00
00
10
10
10
10
00
10
10
10
00
10
00
00
00
00
10
11
11
10
01
00
01
11
10
00
11
00
01
01
10
10
10
00
10
10
00
00
00
10
11
00
01
01
11
00
01
00
00
10
01
00
11
01
00
00
10
11
10
10
00
11
01
00
11
10
01
00
00
00
10
00
10
00
00
01
10
10
00
00
01
00
11
00
00
10
01
11
00
11
10
01
00
00
11
10
01
00
00
10
00
00
10
00
10
11
00
01
10
00
01
01
00
00
00
10
11
10
00
00
00
11
00
10
00
10
01
01
10
11
00
00
10
01
00
00
10
11
01
00
10
01
00
00
10
01
01
10
00
10
10
10
00
11
00
10
01
00
11
00
00
01
11
00
10
00
01
01
11
10
01
00
10
10
01
00
11
01
10
10
00
10
11
00
00
10
10
01
01
10
00
00
10
00
01
11
11
01
00
01
00
10
10
11
01
01
11
10
10
00
01
00
10
11
00
11
11
10
10
10
01
00
11
10
01
01
01
10
01
01
01
00
10
01
10
00
01
10
10
10
01
00
10
11
00
00
10
10
00
11
10
00
10
10
10
00
11
01
00
10
01
10
00
00
00
10
11
00
10
10
11
11
10
00
00
10
10
00
01
10
10
10
10
11
10
00
00
00
10
10
11
00
01
10
11
10
00
00
00
10
10
01
10
01
00
10
11
10
00
11
00
00
00
01
11
00
00
10
00
10
11
00
00
11
11
00
00
01
00
01
10
10
10
00
00
00
11
00
10
10
11
10
00
00
11
00
01
00
11
00
10
10
00
11
00
00
10
10
00
00
00
00
10
00
01
10
10
01
10
10
00
10
11
01
00
10
10
01
00
00
00
00
10
01
00
10
00
10
10
10
00
11
11
00
11
01
00
01
00
10
11
01
00
11
11
00
00
01
00
10
10
01
10
10
01
10
11
00
10
00
00
00
00
10
10
10
11
10
01
10
10
01
11
11
01
10
01
10
00
10
10
10
00
01
10
10
01
00
00
10
10
00
11
10
00
10
11
10
10
00
01
10
10
00
00
11
11
01
00
01
11
11
10
11
00
10
00
00
01
10
10
00
00
11
10
11
10
00
00
01
00
00
11
10
10
01
10
01
10
00
00
00
00
11
10
00
01
00
11
11
01
10
00
00
11
00
00
10
11
00
11
11
10
00
10
10
01
11
10
01
01
00
10
01
00
10
00
00
00
10
10
00
11
11
00
10
10
10
00
00
10
00
10
10
10
10
11
00
11
10
01
00
10
11
10
10
01
00
10
10
11
11
01
00
11
01
00
10
11
00
11
01
01
10
11
10
11
01
00
00
10
10
00
11
10
10
11
10
00
01
10
10
00
00
10
10
11
00
01
10
11
10
10
10
00
00
11
01
10
01
00
10
00
10
10
01
01
10
10
00
00
10
10
10
11
01
00
00
10
10
10
11
01
11
10
00
00
10
10
00
00
10
01
00
10
01
00
01
00
10
11
00
11
10
01
01
10
10
10
10
00
10
10
01
00
01
00
00
10
10
10
00
01
10
10
00
10
00
11
11
11
10
01
00
10
10
00
10
00
10
10
11
00
10
01
00
00
01
00
11
00
01
10
11
10
01
00
00
11
00
01
11
10
01
00
00
00
11
10
10
00
01
00
01
10
11
00
11
01
00
00
10
00
01
00
11
00
10
11
01
10
10
01
00
01
01
10
10
11
00
00
10
01
10
00
11
00
11
00
10
11
10
01
10
00
00
10
00
01
10
10
00
01
11
11
00
00
10
11
01
00
10
11
11
00
00
10
10
00
00
00
11
11
00
10
10
10
11
00
00
11
00
01
00
10
10
11
00
01
10
10
10
00
00
00
11
10
00
00
10
01
11
00
10
00
00
00
00
10
10
00
01
10
11
10
10
00
00
10
00
10
10
10
00
10
10
00
00
01
00
10
11
01
00
00
00
00
01
10
01
00
11
00
10
01
10
10
00
01
10
10
00
00
11
00
10
11
11
00
00
10
10
10
00
00
11
10
01
10
10
00
11
10
00
10
11
11
10
01
00
11
10
00
00
00
10
10
11
01
11
11
01
00
10
11
00
01
01
10
10
10
00
00
11
10
11
10
10
10
00
10
10
01
00
11
00
10
00
00
10
11
01
01
00
10
00
11
10
00
10
10
01
00
10
00
10
01
10
00
00
10
00
10
01
00
10
11
10
00
00
01
10
00
01
10
11
01
10
10
00
00
01
10
11
10
00
01
01
01
00
00
10
01
00
11
10
00
00
10
01
01
00
10
01
00
11
10
10
10
01
01
10
00
01
10
10
01
01
01
00
00
11
10
10
10
10
00
00
00
00
00
01
10
10
10
00
10
11
10
10
00
00
01
10
10
00
00
11
00
01
00
01
10
10
10
10
00
11
01
10
01
10
10
00
00
10
11
10
01
01
11
10
10
10
10
11
01
11
00
11
01
10
11
01
10
10
10
00
11
11
01
00
10
11
01
10
11
00
00
10
00
00
01
11
11
01
10
10
00
11
10
10
11
00
00
00
00
01
00
10
11
01
00
01
10
01
00
10
10
10
11
00
11
10
10
00
00
01
10
10
00
00
10
11
11
00
01
10
01
10
10
10
00
10
11
10
10
11
11
00
00
10
00
00
11
10
00
10
00
10
00
00
10
10
11
10
10
10
01
00
10
00
11
00
10
00
00
00
11
11
00
10
10
01
10
10
00
10
10
10
10
11
10
10
00
00
01
01
00
01
10
00
01
11
10
00
00
00
00
00
10
11
00
00
10
11
01
10
00
00
11
00
00
11
00
11
10
10
00
00
10
01
10
00
00
01
10
10
10
00
01
11
11
11
01
11
01
10
10
10
01
01
10
01
00
10
00
00
11
11
00
00
00
10
11
10
00
01
10
11
10
00
00
00
01
10
00
00
10
01
10
10
10
01
00
11
00
10
10
01
01
01
10
10
11
10
10
00
01
00
00
00
11
00
00
01
10
01
01
00
10
10
01
00
01
10
11
10
00
11
00
01
11
10
00
01
01
10
10
11
00
00
00
01
10
00
01
00
10
10
10
10
11
00
11
10
00
01
11
00
00
00
10
11
10
01
00
11
10
10
00
00
01
11
11
10
00
11
01
01
10
10
00
01
01
11
10
00
01
10
10
10
10
01
10
01
00
11
00
11
00
00
10
00
00
10
00
00
10
00
10
10
11
10
10
01
10
11
00
00
11
00
00
00
11
10
00
00
11
10
01
11
10
00
01
00
01
00
11
10
00
10
00
10
10
10
00
00
00
10
11
10
11
00
01
10
10
10
00
01
11
10
00
00
10
00
10
00
00
11
00
10
10
11
00
11
00
11
00
00
00
00
10
10
11
01
00
01
10
10
00
10
00
00
10
10
10
01
00
00
10
01
01
10
01
01
11
10
11
00
00
10
10
01
00
10
11
00
00
10
00
00
10
10
10
00
00
00
10
11
10
00
10
01
10
10
00
00
10
01
01
10
11
00
01
00
10
00
01
11
10
10
01
01
00
00
11
10
11
11
00
00
10
11
10
01
01
11
00
01
00
10
10
01
00
10
00
00
00
11
01
10
11
00
00
00
00
10
10
11
00
00
10
00
00
10
00
00
01
10
10
01
10
00
10
11
00
00
10
10
10
01
10
11
00
00
00
10
10
11
10
01
10
00
00
10
00
00
11
11
11
10
11
01
00
11
00
10
00
00
10
00
11
11
10
00
00
00
01
11
10
00
11
11
01
11
00
01
01
10
10
11
00
01
11
00
00
10
10
10
10
01
00
01
10
11
10
11
01
10
01
00
10
01
10
10
01
00
00
10
10
10
10
00
00
01
10
11
10
10
01
10
11
01
01
10
01
00
10
11
00
01
10
00
11
10
01
00
10
01
00
11
00
10
00
00
01
00
01
10
00
00
11
01
00
00
10
00
00
10
10
00
00
00
00
11
10
00
00
10
01
00
11
10
00
00
10
00
11
01
01
11
01
00
01
10
00
00
10
00
00
10
11
10
00
11
01
00
10
11
00
10
01
00
10
00
10
10
11
11
00
01
10
11
10
11
10
00
00
10
01
00
00
11
10
10
10
00
00
00
10
11
00
00
10
10
00
00
10
11
11
11
00
00
10
10
10
00
00
00
10
00
10
11
01
11
00
00
11
00
10
10
00
00
00
10
10
01
01
00
00
00
00
01
00
11
00
00
10
00
00
00
10
10
11
00
01
00
00
10
11
11
00
00
10
10
10
01
11
11
01
00
00
11
00
00
10
11
00
10
10
00
00
10
10
00
11
00
11
10
00
00
00
00
10
01
00
01
00
10
00
10
01
01
00
11
10
00
00
10
10
00
00
10
00
00
01
11
01
00
00
00
01
00
00
00
10
11
00
00
01
10
10
00
00
10
00
00
00
10
10
11
11
10
11
10
11
10
10
01
00
10
10
01
00
10
10
00
00
10
10
00
01
10
01
00
00
10
11
00
01
01
10
01
00
00
10
11
01
10
10
00
10
10
01
00
10
10
00
00
00
11
10
11
10
10
01
11
00
01
11
01
11
10
00
10
10
10
00
00
11
10
11
01
00
11
11
00
00
00
01
00
01
11
11
10
10
00
00
10
00
10
10
00
00
00
11
10
00
10
10
01
00
00
01
00
10
00
00
10
00
00
11
01
00
10
00
10
11
00
00
11
11
10
10
00
01
01
01
11
00
01
10
10
00
10
10
11
11
00
00
01
00
10
10
10
10
01
00
10
00
01
00
00
00
00
00
10
01
10
00
11
00
01
01
11
11
01
11
11
10
00
00
11
10
11
00
00
10
00
00
10
00
01
10
10
01
00
00
00
00
11
10
10
01
01
10
00
00
10
10
00
10
10
01
10
10
01
10
10
10
10
10
00
00
00
10
00
00
10
10
00
00
00
01
00
10
10
10
00
01
10
11
00
01
00
00
00
10
00
00
01
10
01
00
01
11
11
01
00
11
11
10
10
01
00
11
10
01
10
10
10
11
10
01
00
11
10
01
00
11
10
11
10
10
00
00
10
11
10
00
01
10
01
01
00
01
10
00
10
10
00
10
10
01
00
10
01
00
11
10
00
10
10
10
01
11
11
01
10
00
00
10
11
00
10
11
10
11
10
00
01
00
01
00
11
10
01
11
10
10
11
11
01
00
11
00
00
11
11
11
01
10
10
00
10
11
00
00
10
11
11
11
01
01
10
00
00
00
00
01
10
11
00
00
10
10
00
11
00
00
00
01
11
11
00
00
10
01
10
01
01
11
00
01
00
00
10
10
00
11
00
11
10
01
01
00
10
11
10
01
10
10
01
01
11
11
00
01
00
10
11
01
01
10
10
10
10
11
11
01
10
00
00
10
10
00
00
10
00
10
00
10
11
10
01
10
01
00
11
10
01
01
11
10
00
10
11
00
00
01
10
00
10
10
00
01
10
00
00
00
00
11
01
11
11
01
11
10
01
10
01
00
10
10
10
00
00
01
10
01
00
01
10
11
10
00
10
10
00
00
11
10
00
10
01
10
11
10
10
01
00
00
00
00
10
10
01
11
11
00
10
10
01
01
00
00
00
01
00
01
00
11
10
00
01
11
11
10
00
01
01
01
00
10
10
11
10
00
10
11
10
00
10
00
00
10
01
10
10
01
00
10
10
00
10
10
01
11
10
01
11
10
00
11
11
00
00
11
01
00
01
00
00
00
10
10
00
10
10
10
11
10
10
00
11
00
00
01
10
10
00
10
01
10
00
00
01
10
10
00
10
11
10
01
00
10
10
00
01
11
00
00
10
00
00
00
10
11
10
01
10
10
11
00
10
10
01
10
10
10
10
00
10
01
00
01
10
01
00
11
01
00
01
11
11
00
01
11
11
01
00
10
11
01
10
00
00
10
10
00
01
10
10
01
00
00
00
00
10
00
00
11
10
01
00
01
00
00
11
00
01
10
11
00
11
00
10
10
01
00
00
10
11
10
00
10
11
10
10
01
00
10
00
11
11
11
00
00
00
01
01
01
10
11
11
00
01
10
00
10
10
11
10
00
01
10
00
10
11
00
11
11
01
11
01
01
10
11
00
00
10
10
00
10
00
11
10
01
00
11
00
11
00
10
11
00
10
11
01
00
10
10
01
10
10
11
11
10
01
10
00
00
10
10
10
10
10
00
10
00
00
10
10
00
00
11
10
01
01
10
01
10
00
11
10
00
00
00
10
00
00
10
10
10
01
10
11
00
10
10
00
00
10
00
00
00
00
11
10
10
10
10
00
00
01
01
11
00
00
10
01
10
11
00
01
01
00
10
10
11
00
00
11
10
00
10
01
00
00
10
00
11
10
11
00
10
10
01
11
10
01
00
10
11
10
10
00
00
10
10
10
10
00
10
00
00
10
00
10
00
10
01
10
10
00
11
00
10
00
00
10
10
01
11
00
00
10
00
10
10
00
10
00
10
11
00
10
00
00
01
11
01
00
00
10
10
01
10
10
00
11
10
00
00
10
00
11
10
10
00
10
00
00
00
01
00
10
01
01
00
00
10
11
10
11
00
10
11
11
10
11
11
00
10
00
00
10
01
11
00
10
00
00
11
10
00
00
10
00
01
10
10
10
11
00
11
10
00
00
10
01
11
01
01
10
11
11
11
00
00
11
01
00
10
11
10
00
10
10
01
10
00
00
10
10
10
10
10
10
00
11
00
00
11
00
10
01
01
10
01
00
10
11
00
11
00
01
11
00
00
10
01
00
01
10
00
00
10
11
10
11
10
00
01
01
00
01
01
00
01
10
10
10
01
01
01
01
11
10
11
10
10
10
00
01
00
10
10
00
10
00
00
10
11
01
00
00
10
00
00
10
01
10
10
00
00
01
00
10
10
00
00
00
10
10
01
10
01
00
00
00
10
01
00
10
10
10
01
10
11
00
00
00
00
10
01
01
11
00
10
10
10
00
01
10
10
01
01
11
10
10
00
10
00
00
10
11
10
00
10
00
00
00
01
11
11
11
00
10
10
11
00
11
10
00
10
00
11
01
10
00
01
00
00
11
00
01
10
00
00
01
01
10
00
00
10
11
10
11
00
00
10
10
00
01
10
11
11
10
10
00
00
10
01
11
00
11
01
00
10
11
11
00
01
00
11
00
01
10
11
00
11
10
00
00
10
10
01
11
00
10
00
10
10
10
10
00
00
10
11
10
00
11
00
10
00
10
11
11
00
11
10
00
00
11
10
00
10
10
01
01
10
01
10
11
00
00
10
10
10
01
10
11
01
00
01
11
01
10
11
01
10
00
00
00
10
10
10
00
01
01
00
11
10
00
10
00
00
11
00
10
00
00
11
11
00
00
01
10
01
10
10
01
10
00
01
01
10
00
00
10
10
10
11
10
11
00
10
10
00
00
10
01
01
11
10
01
11
01
11
11
10
00
11
10
00
00
00
10
10
11
01
00
00
11
10
01
00
01
11
10
00
10
11
00
01
01
10
10
00
10
11
10
11
00
11
00
00
00
10
11
10
00
01
00
10
00
00
00
10
00
10
10
11
10
01
11
10
11
11
00
11
10
00
11
10
00
01
11
10
00
00
01
00
10
00
10
00
00
11
10
10
10
10
10
11
01
00
11
10
11
10
00
01
01
11
00
00
11
10
00
10
00
00
00
11
01
01
10
00
10
10
10
10
11
00
10
00
00
00
00
10
00
11
11
11
11
00
10
10
10
00
01
00
00
00
01
00
00
10
11
10
00
10
01
11
11
00
01
10
00
10
00
10
11
01
11
11
10
00
10
01
00
00
11
10
11
11
01
10
11
11
00
00
10
10
10
11
00
00
00
10
00
00
00
00
01
10
00
10
10
00
10
01
01
00
00
01
11
01
01
11
10
00
10
01
01
11
11
00
00
10
01
10
11
00
10
11
01
00
00
00
00
11
00
01
11
01
00
11
10
01
00
10
01
01
10
10
10
10
10
00
00
01
00
01
11
10
10
00
01
10
10
10
11
00
01
10
01
00
00
10
10
10
01
11
10
11
00
10
00
00
00
10
11
10
00
00
00
00
11
10
00
10
01
00
01
10
10
00
00
10
00
00
00
00
10
11
10
01
11
11
01
00
00
11
00
11
00
01
10
11
10
11
00
01
00
10
00
00
00
11
11
11
00
10
11
10
01
10
01
00
10
00
01
00
10
10
10
10
00
10
01
01
10
11
11
00
01
11
11
01
10
10
11
00
01
01
01
11
10
11
10
10
00
10
10
01
11
00
10
00
10
10
10
10
01
10
10
10
00
10
10
10
00
01
11
01
10
10
11
00
10
10
01
11
11
00
01
00
11
10
00
10
10
10
10
10
00
01
01
11
10
10
01
00
10
01
10
11
00
10
10
10
00
00
00
11
00
00
10
11
10
00
10
10
10
10
10
00
01
10
10
10
01
11
01
00
00
11
11
01
01
10
11
11
10
11
01
01
10
00
10
11
00
11
01
01
00
10
10
00
10
11
11
00
00
01
01
10
10
01
11
00
00
10
11
10
11
01
01
10
00
10
10
10
10
00
00
00
00
11
00
11
11
00
10
10
10
00
01
00
10
01
01
10
10
00
10
10
11
01
11
10
00
11
01
11
10
11
10
01
10
01
00
10
10
00
01
10
11
11
10
00
11
00
11
00
00
01
00
10
00
01
01
00
10
10
01
10
00
00
10
11
11
00
11
11
11
11
00
10
00
00
10
10
00
00
00
11
00
11
01
11
00
00
10
00
00
10
10
00
01
10
01
10
10
10
10
01
11
10
10
11
00
01
10
01
00
10
10
10
00
00
01
11
01
01
11
10
00
00
11
00
01
10
11
01
01
10
00
01
11
00
10
10
01
00
01
10
01
01
01
00
11
10
10
11
00
10
10
00
00
00
00
10
01
01
00
00
10
10
00
00
11
11
00
01
00
11
00
00
00
00
00
10
10
00
10
10
11
01
00
11
11
01
00
00
10
10
00
10
10
01
10
10
01
10
10
01
01
11
00
01
01
10
00
10
00
01
10
11
11
00
11
10
00
00
00
10
00
10
10
10
00
10
10
01
00
11
00
00
10
00
00
11
10
00
00
00
01
10
01
10
11
11
01
00
11
10
10
10
00
10
11
01
00
10
10
01
01
00
01
00
11
11
11
00
11
10
10
10
00
01
11
01
01
11
01
00
10
10
00
00
11
10
00
01
10
00
01
10
10
00
11
10
11
00
00
00
10
10
10
11
01
10
01
11
11
10
10
00
11
00
01
01
00
11
10
10
11
10
00
01
10
10
00
00
11
00
00
10
01
10
10
11
00
10
01
01
01
01
10
10
01
10
10
10
01
10
11
01
00
00
10
10
10
11
00
10
11
11
00
11
10
10
11
10
01
00
00
00
01
00
11
10
11
00
01
00
01
10
00
10
00
00
00
11
11
11
01
01
00
01
00
00
01
10
11
10
10
00
10
11
00
00
00
11
11
10
01
00
10
11
11
00
00
00
10
10
11
00
10
00
00
10
01
10
10
01
11
01
00
10
00
01
01
11
10
00
00
10
00
00
00
10
10
01
10
11
10
10
01
00
01
00
00
11
11
01
00
00
00
10
10
10
01
01
00
01
10
10
00
10
11
01
10
10
00
00
11
10
00
00
10
11
01
10
11
00
01
10
00
00
10
10
10
10
00
10
10
10
10
11
10
00
01
10
01
01
11
00
10
10
10
10
11
00
00
00
11
10
01
00
01
01
10
01
10
00
01
11
01
11
00
00
10
00
10
10
00
10
00
00
10
11
10
10
00
10
00
00
01
00
01
11
00
10
11
00
01
00
10
10
10
10
00
10
10
10
00
00
00
10
10
00
01
10
01
10
00
11
00
01
11
11
01
10
00
11
11
00
10
10
00
01
10
10
01
01
10
00
01
10
10
00
00
00
11
00
01
11
11
00
10
00
01
10
10
10
10
11
00
00
00
00
10
01
10
01
00
11
11
10
11
01
01
11
01
00
00
10
10
01
01
00
10
11
00
00
01
11
00
10
01
10
10
11
00
00
10
01
10
00
00
10
00
11
10
01
10
10
00
10
11
10
01
11
10
01
00
00
00
10
10
00
10
10
00
00
00
00
10
11
11
10
10
00
11
10
00
00
01
11
10
00
10
10
10
00
10
11
11
11
10
10
00
00
00
01
00
01
10
00
11
11
00
00
10
11
10
00
11
10
10
01
00
11
10
01
10
11
00
01
10
01
00
11
11
00
00
10
10
00
00
01
10
11
10
10
10
10
00
00
01
10
01
00
10
00
11
00
00
01
10
10
00
00
10
10
01
10
00
10
11
11
00
01
10
10
10
01
11
10
01
00
01
00
01
10
10
00
10
10
01
00
10
00
00
10
11
00
11
10
01
00
10
00
10
10
01
00
11
00
00
00
10
00
11
11
00
00
10
10
01
01
10
00
01
01
11
10
00
00
00
10
10
10
01
01
10
01
00
10
00
10
00
11
11
01
01
10
01
11
00
11
00
01
10
10
10
00
10
10
00
10
00
00
00
00
10
01
01
01
10
10
00
00
11
10
10
10
10
10
00
01
00
10
11
01
10
10
00
11
10
00
10
11
00
00
10
10
10
00
11
00
10
00
01
01
00
01
10
10
01
10
10
00
10
01
01
00
10
10
10
11
00
00
10
10
11
10
11
10
00
00
01
11
00
10
10
00
10
00
00
10
01
10
00
01
01
00
01
00
10
11
01
10
10
00
11
01
11
10
00
00
00
10
00
01
10
11
01
11
00
10
10
00
00
11
10
00
11
10
11
11
10
11
01
10
00
00
10
00
01
11
11
10
00
00
11
10
10
10
01
00
10
00
00
00
00
00
10
11
01
00
01
10
10
00
10
11
10
01
00
10
10
10
11
00
10
11
01
10
00
11
00
00
11
01
11
00
10
11
11
01
00
00
10
10
00
00
01
10
11
00
01
10
00
10
01
00
11
00
00
01
10
01
10
00
00
00
00
10
00
10
10
10
10
01
10
11
11
00
10
11
01
00
10
10
10
11
00
00
10
10
11
10
00
00
10
01
00
10
10
11
10
01
10
00
11
11
10
00
01
00
01
10
10
00
01
00
10
10
00
10
10
01
00
11
11
10
11
01
11
11
10
00
00
10
10
11
00
11
11
01
11
10
00
01
11
11
00
01
10
11
00
00
10
00
10
10
10
10
10
10
00
11
10
00
01
11
01
01
10
11
01
01
11
10
01
01
11
11
10
01
11
01
10
10
00
00
10
00
01
11
10
10
01
10
10
10
11
00
00
10
01
01
10
01
00
10
01
11
11
00
10
10
10
00
11
11
00
10
10
01
00
00
10
10
00
01
10
00
00
10
11
00
01
10
11
00
01
00
01
10
10
01
10
10
00
00
10
00
10
11
00
00
11
10
00
10
10
00
10
00
01
10
00
01
11
11
01
00
11
10
11
11
11
00
00
01
11
10
01
00
10
10
11
10
01
10
10
10
00
01
00
00
10
10
01
01
11
00
01
00
00
01
10
01
01
01
10
01
01
11
10
01
00
10
10
00
00
10
10
01
00
00
00
00
00
11
00
10
10
01
01
00
10
10
11
10
00
00
10
10
00
01
00
00
00
00
01
01
10
10
10
11
01
11
10
00
10
10
11
01
11
10
00
10
00
01
00
01
10
10
00
01
11
01
10
11
10
11
01
00
10
00
10
11
01
00
01
00
10
10
11
10
01
00
10
11
10
01
10
10
01
11
10
00
10
00
11
11
11
10
00
00
00
00
10
11
00
11
01
01
01
10
10
10
00
00
00
11
11
00
10
00
10
10
10
11
10
00
00
10
10
00
11
10
11
00
10
11
00
00
00
00
00
01
11
11
10
00
00
11
01
00
01
10
01
10
10
10
00
10
11
10
11
00
11
11
00
11
10
10
10
11
01
00
10
10
00
10
01
00
11
01
10
10
00
10
01
01
10
11
10
10
00
00
01
10
11
00
00
10
10
00
10
00
10
10
00
10
00
00
10
00
00
10
11
10
00
10
00
01
10
11
10
10
00
00
11
00
11
10
11
01
01
01
01
11
10
00
11
10
10
00
01
00
00
00
01
10
00
10
10
10
10
00
10
00
01
01
00
10
10
10
01
00
10
10
00
11
00
10
11
10
00
00
10
01
11
11
01
01
00
10
00
01
10
11
00
10
10
00
11
00
11
10
00
10
01
10
01
01
10
01
00
10
00
00
11
10
11
01
11
00
10
00
00
00
10
10
10
00
10
01
01
01
00
10
11
00
00
01
00
10
01
00
01
10
00
01
00
10
11
10
10
01
11
10
11
10
01
10
00
00
00
00
11
10
01
11
10
10
11
00
01
10
10
01
01
11
01
10
01
10
00
11
10
01
00
01
11
10
00
00
00
10
10
00
00
10
10
00
11
01
01
11
10
00
00
10
10
00
10
01
10
10
00
00
11
01
00
11
01
10
10
10
00
00
11
11
10
01
00
00
00
10
10
00
00
10
10
10
00
10
11
00
01
10
00
00
00
11
10
00
10
11
11
00
10
00
00
10
00
00
00
10
10
10
00
01
10
11
01
01
01
10
00
10
00
10
00
10
10
10
00
10
00
10
10
10
10
01
10
01
01
10
01
11
00
00
11
10
01
00
00
01
10
10
00
10
11
10
00
11
10
10
10
01
00
00
10
00
01
11
01
00
00
10
11
10
11
00
01
10
10
01
10
01
10
01
10
00
00
00
00
11
10
01
00
10
00
00
00
00
11
01
00
00
01
11
11
11
01
10
01
11
10
01
00
00
01
11
10
00
10
10
10
10
00
11
11
10
00
10
00
10
01
00
00
00
11
00
00
00
10
00
10
00
10
11
00
01
11
01
00
00
01
10
10
10
01
00
10
11
00
10
00
10
10
10
10
01
00
00
00
10
01
10
00
00
01
10
10
11
01
10
00
11
10
00
10
00
10
10
10
01
10
01
01
11
01
00
00
10
10
10
11
00
00
00
10
11
11
10
01
10
00
10
00
00
11
00
01
01
10
01
10
10
01
10
10
11
00
01
01
10
10
00
00
10
10
01
01
10
01
01
01
10
01
00
10
11
11
10
10
10
00
11
10
01
10
00
11
10
01
00
01
10
10
10
00
11
10
00
00
11
01
00
10
10
10
10
10
11
00
01
01
01
00
00
00
10
01
00
10
10
10
11
00
00
10
00
01
00
11
10
10
01
01
00
00
00
00
10
11
00
11
11
11
11
10
00
00
00
10
11
01
10
10
11
10
00
01
10
00
00
10
00
00
01
10
01
00
11
10
10
11
00
01
11
01
00
01
11
01
00
10
00
00
10
10
00
00
01
11
11
11
10
01
10
10
11
10
00
00
10
11
00
11
00
01
10
00
10
10
00
00
11
11
01
00
00
00
10
11
00
00
10
10
00
10
00
01
00
11
11
10
11
01
10
10
10
00
10
10
10
00
10
11
00
10
10
00
01
00
01
11
01
10
00
11
01
00
01
00
10
01
01
00
10
11
00
00
00
01
10
01
00
00
11
10
11
10
11
01
11
10
10
10
00
10
10
00
00
10
10
10
10
10
00
00
11
00
10
10
00
01
10
10
00
00
11
01
11
10
00
10
10
10
10
00
01
10
00
00
01
10
10
11
01
00
10
01
11
00
10
00
10
00
00
00
00
10
10
11
11
10
00
00
10
00
10
11
10
11
10
11
00
00
10
10
10
00
00
00
10
10
01
10
01
10
11
10
10
11
01
11
10
01
01
10
10
00
00
10
00
10
10
00
01
01
11
10
00
00
10
01
00
00
10
10
10
10
00
10
00
01
01
11
00
00
10
01
11
00
00
10
01
00
10
10
00
11
10
01
11
00
10
10
01
00
10
10
11
00
01
00
00
00
00
10
11
10
10
01
00
00
11
11
01
01
00
00
01
00
10
10
00
11
10
00
00
11
10
00
00
00
01
01
01
11
00
01
10
00
11
10
00
10
00
00
10
00
10
10
11
10
00
10
01
10
01
10
00
00
11
00
10
10
00
10
01
00
01
00
10
01
01
01
00
10
10
01
01
10
11
00
01
00
00
10
00
00
10
00
10
01
10
10
01
10
01
00
00
11
00
01
00
00
00
10
01
00
01
11
01
11
10
10
11
00
00
00
10
00
00
11
10
01
10
00
00
11
10
01
10
10
10
00
10
01
00
10
00
00
00
10
00
10
11
10
11
00
10
00
10
00
10
10
00
00
10
10
00
10
00
10
00
10
10
00
11
00
11
10
11
00
10
00
10
10
00
01
00
00
10
00
10
10
00
10
01
00
10
00
10
10
10
11
00
11
00
01
00
00
10
11
11
01
10
11
10
10
10
10
01
00
10
10
11
01
00
10
00
01
10
10
00
11
10
10
01
10
10
11
11
11
01
00
10
01
10
10
00
11
10
11
10
01
00
11
11
10
01
00
10
10
00
10
10
00
00
10
00
00
11
01
10
11
00
10
10
10
01
10
11
01
00
10
10
00
01
11
11
00
00
11
00
11
01
00
11
10
00
00
10
10
10
00
11
10
10
10
11
10
00
11
10
01
10
11
11
11
10
00
01
10
10
11
00
01
10
11
01
11
10
01
00
10
01
00
10
10
01
00
00
10
10
11
10
00
10
01
00
01
00
10
10
01
00
11
00
01
10
00
00
10
10
10
01
10
10
11
01
11
11
10
00
00
11
10
00
00
10
00
00
00
10
01
00
00
11
00
10
10
00
00
00
10
01
10
00
10
11
00
10
11
10
10
00
10
10
10
00
00
01
01
10
00
01
11
11
11
10
10
11
11
10
11
10
11
01
00
10
01
01
11
11
11
10
00
01
00
00
10
00
00
00
00
11
11
00
00
00
00
00
11
11
10
10
01
11
00
10
10
00
00
10
01
10
01
10
10
11
10
00
01
00
10
00
00
11
10
11
10
00
01
01
00
10
10
01
10
10
10
00
10
10
10
01
01
10
10
10
01
00
10
11
00
10
01
10
01
01
00
10
00
00
01
11
11
11
00
01
01
00
00
10
10
00
00
11
11
11
11
11
11
00
10
01
00
00
10
01
00
01
00
00
11
10
10
01
00
11
00
00
10
11
11
00
00
11
10
00
01
00
01
11
00
10
10
00
00
01
10
00
10
10
10
11
01
10
10
01
00
00
00
01
11
11
10
00
00
10
00
00
11
10
00
10
10
10
00
10
01
10
10
00
10
10
10
10
01
01
01
01
00
00
10
00
10
00
10
00
10
00
10
00
00
10
00
00
00
00
00
10
10
10
10
00
00
11
00
01
10
11
01
00
00
10
10
01
11
10
10
01
00
01
10
11
10
01
00
10
00
00
10
11
00
01
01
10
11
00
00
10
10
10
10
01
00
10
11
00
11
00
00
00
11
00
10
11
00
11
10
10
00
10
01
00
00
11
11
00
01
01
11
01
10
00
10
10
11
00
01
00
00
10
00
00
01
11
00
10
11
10
11
10
10
11
00
00
11
00
00
10
11
01
00
01
01
10
10
10
10
01
00
10
10
11
10
00
11
11
01
00
01
01
10
11
10
10
00
00
00
10
10
00
00
10
10
00
00
10
01
00
00
10
10
00
01
11
10
00
01
11
01
00
10
10
00
10
11
01
00
00
00
11
11
11
11
00
01
10
00
01
01
10
11
10
11
00
10
10
11
10
01
01
10
00
11
10
00
11
10
11
00
01
00
10
10
01
10
00
10
10
00
10
01
00
10
10
01
10
00
10
10
00
00
00
01
00
11
01
01
10
01
10
11
10
01
00
10
11
00
11
00
11
00
01
01
00
00
11
11
00
11
00
01
01
11
01
00
11
00
00
10
10
01
00
10
11
10
00
11
00
00
00
00
10
10
00
10
11
00
10
10
01
01
10
11
00
11
11
00
01
11
10
10
00
00
11
11
01
00
01
10
10
11
00
10
00
10
11
10
01
01
10
10
00
00
10
00
01
10
11
00
11
10
01
11
10
10
00
11
00
00
00
01
10
10
11
11
11
01
11
01
01
00
00
11
10
00
00
10
10
00
10
00
10
10
00
00
10
01
00
10
00
10
10
00
01
11
11
11
01
10
11
00
01
11
10
00
00
00
10
10
01
01
00
10
10
00
10
11
01
01
10
00
10
00
10
01
00
00
10
11
11
10
00
11
00
11
00
00
11
00
00
10
00
01
11
10
00
00
10
11
00
00
00
11
10
10
01
00
11
00
10
11
10
11
00
00
01
00
11
10
11
01
10
10
00
10
10
10
01
10
11
00
01
00
00
00
00
11
10
00
00
10
11
00
01
01
10
11
10
10
10
11
11
00
01
10
01
00
10
01
11
10
00
00
10
10
01
01
11
10
00
00
10
00
00
00
10
01
00
11
10
11
00
00
10
01
10
11
00
00
01
10
01
11
10
01
10
10
00
00
11
00
00
11
01
11
10
00
00
00
10
10
10
10
00
00
00
00
10
10
00
10
11
01
10
01
00
10
00
10
00
10
11
00
01
01
00
11
10
01
10
10
00
01
11
11
00
11
01
10
10
00
00
00
10
10
00
01
00
10
01
11
00
01
01
10
00
00
00
01
01
10
10
01
11
00
01
10
00
10
10
10
11
00
00
00
00
10
00
10
00
01
10
01
00
10
00
11
10
11
10
00
11
10
11
00
11
00
10
10
00
01
01
11
01
10
10
10
10
10
01
00
10
00
00
10
10
00
10
10
00
10
11
00
10
11
11
00
01
11
00
10
11
01
11
10
00
01
10
00
10
10
00
10
00
00
10
11
01
00
00
01
00
10
10
00
00
00
10
01
11
10
11
00
11
00
01
11
00
11
10
11
00
10
11
00
00
10
10
01
11
10
00
11
11
10
00
00
10
11
00
00
10
10
00
11
00
00
11
00
00
10
10
00
10
11
00
10
00
10
11
01
10
10
00
00
10
11
11
11
10
01
11
00
10
10
00
00
00
10
00
11
00
00
01
10
11
11
10
01
00
10
11
00
11
10
00
01
10
10
00
11
10
00
11
00
10
01
00
00
00
10
10
10
00
00
00
11
00
00
11
00
00
10
00
10
11
00
11
10
00
00
11
01
11
00
00
11
11
11
10
11
00
00
10
00
10
10
10
11
01
00
11
11
01
11
11
00
00
01
11
11
00
01
10
10
10
11
00
01
10
10
10
00
10
11
00
00
00
10
01
00
00
10
00
11
10
10
00
00
10
10
01
11
10
01
10
00
00
00
10
01
01
11
10
10
01
01
11
01
00
10
10
00
01
10
10
00
10
01
01
01
10
00
00
10
11
00
11
00
00
10
00
00
11
00
00
10
10
00
11
00
10
00
00
00
10
00
11
00
10
10
10
10
11
10
00
01
11
11
10
10
01
00
10
00
10
11
11
10
00
01
00
11
00
00
00
10
00
10
00
00
10
11
11
00
11
11
11
10
01
00
10
00
00
10
00
00
10
10
10
11
00
11
10
10
00
01
00
00
11
10
00
01
10
01
10
01
10
10
01
00
11
10
00
00
11
10
10
10
11
10
00
10
01
00
11
10
01
00
00
11
10
10
01
01
10
10
01
00
10
10
00
11
00
10
01
00
11
00
10
10
10
10
00
00
10
10
10
01
11
11
11
00
10
00
10
10
00
11
10
01
10
00
10
10
00
10
00
11
11
11
00
11
01
00
10
01
00
10
10
01
11
11
00
01
10
00
00
11
10
10
11
00
01
10
10
00
00
00
00
01
10
11
00
11
10
10
10
10
00
01
10
01
01
10
01
00
10
10
10
11
11
00
00
10
10
00
10
11
01
00
10
00
01
10
10
00
10
01
10
10
00
01
10
00
10
11
10
11
10
10
00
00
10
00
00
00
11
00
00
10
10
00
10
10
00
01
11
10
00
01
00
11
11
10
10
01
10
01
10
10
10
11
00
10
10
00
00
01
01
00
00
10
10
10
00
11
10
01
11
10
10
00
00
00
11
10
10
11
00
01
11
10
00
10
00
10
00
00
10
00
00
10
10
10
01
10
10
00
00
10
00
00
11
10
01
01
01
01
00
10
10
01
10
00
01
10
00
11
00
10
01
00
10
11
11
00
11
10
00
00
10
10
00
10
00
00
10
01
01
10
10
10
11
10
00
10
10
10
00
00
10
10
00
00
10
10
00
00
10
11
00
10
01
11
01
10
11
10
11
00
00
00
00
00
11
11
01
11
10
00
00
11
01
11
10
10
01
11
00
01
11
10
10
10
00
00
00
11
11
00
10
01
10
01
11
10
00
10
00
10
10
00
00
00
10
10
10
10
10
01
10
00
11
00
01
10
10
01
00
11
11
00
11
10
01
00
10
10
00
00
00
01
10
10
00
00
00
00
11
10
11
11
10
11
00
00
01
10
10
01
00
10
10
00
01
11
10
00
10
00
00
00
10
01
10
00
10
10
00
10
01
01
10
00
00
11
10
10
10
11
00
00
10
01
11
11
01
10
11
00
11
11
00
00
01
10
11
00
00
11
01
10
10
00
00
10
10
01
11
10
10
10
00
01
00
10
10
10
00
01
11
00
01
10
11
10
00
00
11
10
11
10
00
10
10
10
10
11
00
00
11
01
10
10
10
00
11
00
01
10
10
11
01
10
11
10
00
00
00
00
10
10
01
10
10
00
10
11
00
00
01
00
10
00
00
11
10
11
01
00
10
00
11
10
01
00
10
10
01
00
11
00
11
10
11
00
00
00
10
10
00
00
10
10
10
00
10
11
00
10
10
10
00
01
10
01
00
10
11
10
00
10
11
00
10
11
00
00
00
11
11
01
00
11
00
00
11
11
00
01
10
11
10
01
01
10
10
00
10
10
00
00
10
10
10
01
10
01
00
11
00
01
11
01
00
10
00
00
11
11
00
10
01
11
10
01
10
11
01
01
01
01
01
10
10
01
00
00
01
11
10
00
10
10
01
00
11
10
00
10
00
10
00
00
10
00
10
01
10
11
00
00
01
10
00
01
01
10
00
00
10
10
10
00
00
10
11
00
10
10
10
00
11
00
10
10
01
00
00
10
10
11
00
01
10
10
01
10
00
10
11
00
01
00
01
01
10
00
10
00
00
00
10
10
01
00
10
11
10
00
01
01
11
00
00
11
01
01
10
10
00
10
11
00
00
11
00
01
11
00
00
01
11
10
10
01
10
00
00
11
00
00
11
10
11
00
01
11
10
10
00
10
11
10
00
01
10
10
00
10
10
00
00
10
10
10
01
00
00
10
10
01
10
00
01
10
01
00
00
00
01
00
10
11
00
10
10
00
00
10
10
00
11
10
10
10
11
01
11
00
01
00
00
11
10
10
00
00
10
11
11
00
01
10
00
01
01
00
10
10
00
10
11
00
10
10
01
10
00
11
10
00
10
10
00
00
00
10
10
00
00
01
11
00
11
11
00
11
10
01
11
00
00
01
10
10
10
11
01
01
10
10
00
01
01
01
10
01
00
10
10
10
01
00
01
10
10
11
11
00
00
00
11
01
11
00
10
11
11
10
00
10
01
10
00
01
11
10
10
10
10
10
11
00
01
10
11
00
01
00
00
10
10
10
10
01
01
00
10
00
00
10
10
01
10
11
10
11
00
10
10
00
00
10
11
10
00
10
00
10
01
10
10
10
00
00
00
01
00
00
00
10
00
10
00
01
10
01
11
10
11
00
01
11
01
00
11
10
00
10
10
10
11
00
00
10
00
00
10
10
00
00
01
01
10
10
10
10
11
00
00
00
11
10
10
10
00
10
10
10
00
11
01
00
01
00
10
10
10
10
11
10
00
01
10
00
00
11
11
01
00
10
10
10
10
01
01
10
11
11
11
01
10
01
00
11
11
00
00
11
01
01
00
10
10
01
10
01
01
11
10
00
00
11
11
01
01
10
11
00
01
01
10
00
10
10
10
10
00
00
11
01
10
10
00
00
10
10
11
10
01
00
10
11
00
10
11
11
00
01
00
10
11
00
10
00
10
10
00
01
10
10
10
10
00
10
10
00
00
10
00
10
10
11
01
10
10
01
01
01
00
11
10
11
00
01
00
10
00
01
10
00
00
10
01
01
11
01
10
10
00
10
10
10
01
00
10
11
00
01
11
00
00
10
10
00
01
10
10
10
00
11
10
00
00
01
00
11
11
00
00
10
00
00
01
10
10
00
00
11
00
00
10
10
10
01
10
01
00
11
10
01
10
00
10
00
10
10
00
00
00
11
00
11
01
01
00
01
11
00
00
11
10
01
10
10
00
10
10
00
01
10
10
00
01
10
00
00
00
10
11
11
00
00
10
00
00
11
10
11
00
01
10
00
00
00
10
10
10
01
00
11
10
00
00
10
00
01
10
10
00
10
10
00
00
00
00
10
10
10
11
10
11
10
11
00
00
10
00
00
00
00
10
11
01
01
00
01
10
10
01
10
10
01
11
10
00
00
00
00
11
10
00
10
10
10
00
00
00
10
11
00
10
00
10
10
00
10
11
01
10
10
00
10
11
00
01
00
10
10
00
10
10
01
00
11
10
11
00
10
01
00
11
00
10
10
00
01
01
11
01
00
10
01
11
00
00
11
11
11
11
00
00
00
10
10
10
00
00
10
00
00
01
00
11
01
00
10
11
00
11
01
00
10
00
01
10
00
00
10
10
01
00
00
10
11
00
11
00
00
11
10
11
00
00
10
10
10
11
00
00
01
01
10
10
00
00
00
00
00
10
10
00
10
10
00
10
11
10
00
11
00
10
11
00
10
01
10
11
10
10
00
00
11
10
01
01
10
11
10
01
00
00
10
10
10
11
00
10
01
10
00
00
01
01
10
01
10
01
00
10
00
01
10
11
11
00
00
00
10
10
00
10
10
01
10
00
10
01
01
11
00
11
11
01
00
10
11
00
00
10
10
00
11
00
10
01
00
00
00
00
10
00
00
10
10
00
01
01
00
01
10
11
00
10
11
00
00
10
11
10
01
01
10
01
10
01
10
10
00
00
00
00
01
10
11
11
00
00
10
10
10
10
01
01
00
01
10
01
00
11
00
01
10
10
11
10
00
00
10
11
10
00
01
00
10
11
01
10
11
00
10
11
01
10
00
00
11
00
10
10
00
00
10
01
00
11
10
00
01
10
11
01
10
10
00
10
11
00
00
10
11
00
11
00
01
10
10
11
00
10
11
10
01
10
00
11
01
00
00
10
10
00
10
10
01
00
00
10
10
10
10
01
00
00
00
00
00
10
11
11
10
00
11
10
10
10
01
00
00
00
00
00
00
10
00
01
10
10
10
11
00
10
11
10
10
00
00
11
10
10
00
00
11
01
00
11
10
10
10
01
00
10
00
00
10
11
10
01
01
11
00
01
10
00
00
00
00
11
11
01
00
11
10
11
00
10
10
01
10
10
10
00
10
10
10
11
00
10
10
11
01
11
00
10
10
11
10
11
01
00
00
01
10
00
10
11
10
10
01
00
01
11
00
00
00
00
01
00
10
00
10
01
00
10
11
01
10
10
10
00
00
10
10
10
11
00
10
00
00
00
10
10
11
10
11
00
00
00
11
01
11
11
00
11
11
00
01
00
00
10
10
00
00
01
10
10
10
01
10
11
11
10
00
11
10
00
00
11
10
11
00
00
10
10
01
01
00
10
00
00
11
01
00
10
01
00
00
00
10
01
00
10
11
11
00
10
10
00
10
01
00
10
11
11
01
01
10
01
00
00
00
10
10
10
11
00
00
00
00
11
10
10
10
11
01
00
11
00
01
11
10
00
10
10
00
01
00
11
10
11
01
00
10
00
00
10
01
01
10
11
00
10
10
01
10
00
00
11
10
10
11
00
11
11
00
00
00
10
10
10
01
01
11
10
00
01
10
10
00
00
11
10
11
10
01
00
00
10
10
00
10
00
11
10
00
00
10
00
00
11
00
00
01
00
10
01
00
01
00
10
10
00
00
10
10
01
00
10
00
10
10
00
10
11
10
01
00
01
00
00
00
11
11
10
11
00
11
10
10
01
10
11
00
01
00
10
10
00
01
11
11
01
10
11
00
01
11
01
00
10
01
01
00
11
10
00
10
11
00
00
10
01
10
00
11
10
11
00
10
00
11
10
00
11
00
10
11
00
10
11
00
01
10
00
10
00
10
01
11
10
10
01
11
00
11
10
00
00
10
10
11
11
10
01
10
10
11
00
01
10
10
01
00
11
11
00
10
11
10
11
10
01
00
00
10
10
10
00
11
10
01
00
10
01
10
00
10
00
01
10
10
10
00
10
00
00
00
10
10
00
00
10
00
00
00
10
10
11
10
10
00
00
10
10
10
00
10
00
11
10
01
11
10
01
01
10
10
11
00
10
11
00
00
10
10
10
11
11
10
00
00
10
01
11
11
11
00
00
11
11
01
10
00
00
11
11
11
00
11
10
01
00
00
00
10
10
01
10
11
00
11
10
10
00
00
11
10
00
00
00
00
01
00
10
10
10
10
10
01
00
11
10
10
01
00
01
01
00
00
00
01
01
10
10
11
00
11
01
10
01
10
10
00
00
10
00
00
10
10
00
11
10
00
11
00
00
00
00
11
00
00
01
11
10
10
10
10
10
01
01
00
01
10
10
00
00
11
00
11
10
11
01
10
10
00
01
00
10
10
10
01
00
01
11
00
10
11
00
11
11
00
10
10
00
10
11
00
00
10
00
10
10
10
00
11
11
11
00
00
11
00
11
01
00
11
11
00
00
00
10
00
00
10
10
00
00
01
10
11
10
00
01
11
00
00
00
10
00
01
11
01
10
10
00
10
00
11
10
01
00
11
11
00
00
01
10
01
10
11
01
00
01
00
10
11
10
00
00
10
10
11
00
00
10
00
00
00
00
10
10
00
10
00
00
00
01
10
11
00
11
01
10
10
10
00
01
00
01
10
10
01
10
00
00
10
10
00
00
10
01
01
10
00
00
11
11
11
10
00
01
00
11
00
10
10
00
10
11
01
00
01
10
00
11
11
00
00
00
11
00
10
10
00
00
11
01
10
10
00
00
00
10
10
00
11
10
10
00
01
10
01
10
00
00
10
11
00
00
10
10
11
00
11
01
01
11
10
11
01
11
10
00
00
10
11
00
10
10
10
01
01
01
00
10
00
10
01
10
10
00
11
00
00
11
10
11
00
00
01
10
10
00
00
10
01
00
10
10
10
00
11
10
10
01
10
00
00
11
00
10
10
01
10
11
10
00
01
00
11
11
10
01
11
10
00
10
10
00
00
01
10
10
10
10
10
00
00
10
10
10
11
11
11
10
01
10
00
00
10
01
01
11
10
10
00
00
00
10
11
10
10
00
11
01
00
10
11
10
11
01
00
11
10
00
10
00
00
11
10
11
00
10
00
01
00
11
01
01
11
10
10
01
00
00
00
10
11
10
11
10
00
00
01
00
01
00
10
00
10
01
01
10
10
10
10
10
10
10
01
10
10
10
00
00
10
01
00
00
00
00
11
01
01
10
11
00
00
11
00
10
11
00
01
01
10
00
11
00
10
00
10
11
00
10
10
00
10
00
11
01
10
10
10
10
10
00
10
10
00
10
10
00
00
00
00
10
11
01
00
00
11
00
10
01
11
10
00
01
00
00
10
10
11
10
00
00
00
00
00
11
10
10
00
00
00
00
10
10
01
11
00
10
10
10
00
00
11
01
00
11
00
11
11
00
01
10
00
00
10
11
10
01
10
10
10
10
01
00
10
10
00
10
01
10
11
10
10
00
10
10
00
10
10
10
11
01
01
10
00
00
11
00
01
00
10
10
01
01
10
01
01
11
10
11
10
00
01
11
11
00
00
00
10
10
01
01
10
00
11
00
00
00
00
11
11
00
10
10
00
11
10
00
10
11
11
01
11
10
11
00
00
00
10
01
10
10
11
00
01
01
10
10
10
01
00
01
11
00
01
10
01
10
00
00
00
11
11
10
00
01
11
00
00
00
01
00
00
10
10
11
10
11
00
10
11
10
00
00
00
10
10
00
11
11
00
01
10
00
01
10
10
10
00
01
11
01
11
00
01
00
10
10
01
10
11
01
01
00
10
10
00
11
11
00
00
00
01
11
01
10
11
10
11
00
11
10
00
01
10
00
00
10
10
10
11
01
00
00
00
01
11
10
10
11
00
00
10
10
10
11
01
00
01
00
10
10
01
00
10
01
01
10
00
10
10
01
10
10
01
10
01
00
11
00
00
01
10
11
10
11
11
11
00
01
10
10
00
01
11
11
10
00
10
10
11
10
00
00
10
01
10
10
10
01
00
00
00
11
00
01
10
00
00
01
10
10
10
01
10
11
10
00
10
00
00
00
00
10
00
10
10
10
10
10
00
10
11
00
11
00
10
00
10
00
10
10
00
00
01
00
00
10
11
00
01
00
10
10
11
10
00
01
10
10
10
01
00
00
11
10
00
00
11
10
11
00
00
00
11
00
00
10
11
00
00
01
10
10
00
10
00
11
10
01
00
11
10
00
10
00
11
11
10
01
10
00
00
10
10
01
00
00
00
10
10
11
00
01
10
00
00
10
00
10
01
10
01
01
00
11
00
01
10
00
11
11
10
00
01
00
11
00
01
10
00
01
10
10
00
11
11
01
01
10
11
10
01
11
00
00
11
10
00
01
10
10
01
10
10
01
01
11
10
00
01
10
00
01
10
11
01
01
01
10
11
00
01
10
00
11
11
00
00
10
10
00
01
11
00
00
11
01
10
11
00
01
10
00
10
11
00
11
01
00
00
10
11
10
10
00
01
01
11
01
11
00
10
10
11
10
00
00
11
00
00
01
10
11
01
10
00
10
10
01
01
11
00
00
11
10
10
00
01
11
10
11
10
01
01
11
00
00
10
00
10
00
01
00
10
10
10
00
10
00
11
00
01
01
00
01
01
10
00
00
10
10
11
01
10
00
01
10
01
11
10
01
00
00
11
01
01
10
10
00
00
00
11
00
10
01
01
10
10
10
11
00
10
01
00
10
10
11
10
11
00
00
11
00
00
00
11
11
10
01
10
00
10
00
10
01
01
11
10
11
00
11
10
01
10
01
10
11
00
00
00
11
00
00
00
11
11
00
00
00
00
11
00
00
10
00
00
10
00
10
11
00
10
10
01
00
00
01
10
01
10
10
01
01
11
00
11
10
00
00
01
10
10
00
01
10
01
11
00
00
10
00
10
10
00
10
10
01
00
10
10
11
00
10
00
00
00
01
00
00
10
10
00
10
11
10
10
10
01
00
11
11
00
01
10
11
01
10
11
10
01
00
10
00
01
10
01
10
10
10
00
01
10
10
11
10
00
11
00
01
10
11
01
01
10
10
10
11
11
00
00
00
10
10
11
00
00
00
10
10
10
10
00
10
01
11
10
11
00
00
11
00
10
00
11
01
11
10
00
10
11
11
00
10
11
11
10
00
10
01
11
10
11
11
01
10
10
00
01
10
10
10
01
10
01
11
10
11
01
10
10
11
01
01
01
10
10
10
01
00
11
10
11
00
00
10
01
00
11
10
00
01
11
10
00
00
11
01
00
01
00
00
00
00
10
00
10
10
10
01
01
01
00
00
11
00
00
10
00
10
10
00
10
01
00
00
00
00
10
00
00
01
00
10
01
01
11
10
11
10
00
00
00
11
10
00
00
10
00
10
10
00
00
10
10
10
01
01
01
10
01
10
00
10
00
10
10
11
00
11
10
11
11
11
01
00
00
00
01
10
10
00
10
10
01
01
11
00
01
10
00
00
00
10
10
10
00
10
10
00
10
00
10
11
11
10
00
10
10
00
10
10
01
01
10
00
10
11
11
10
00
00
10
10
00
00
10
00
00
00
01
01
01
11
01
00
10
11
11
01
00
11
10
10
00
00
01
01
10
00
00
11
00
00
11
10
11
10
00
00
10
10
10
10
11
00
01
00
01
00
00
10
10
10
00
00
11
01
10
01
00
11
01
00
01
10
11
01
00
11
10
00
00
00
10
01
10
10
10
00
10
10
00
01
10
11
00
10
10
00
11
11
11
00
00
01
01
10
01
00
10
00
00
10
00
10
10
00
00
00
00
10
11
00
01
10
00
10
10
10
10
00
00
11
00
11
10
00
00
10
10
00
01
11
00
00
00
10
00
00
10
10
00
10
00
10
00
00
11
00
10
00
00
00
10
01
11
00
11
11
00
01
10
01
00
00
10
11
00
00
01
10
10
00
00
10
11
10
11
00
00
11
00
00
00
10
10
01
01
00
11
10
11
00
11
11
01
01
10
00
01
01
10
10
01
01
11
00
00
00
00
00
00
11
10
10
10
01
00
10
10
01
00
10
10
00
00
10
11
01
10
00
10
00
00
00
00
00
11
00
10
10
10
00
00
10
00
11
00
10
11
10
01
01
00
10
10
10
11
00
01
00
10
00
10
11
01
10
11
00
11
01
10
10
01
01
11
00
01
00
10
11
10
00
00
00
10
11
01
01
11
00
10
10
11
00
01
11
00
01
01
00
10
11
00
00
10
10
10
10
10
00
10
10
10
00
11
10
11
00
01
00
00
10
00
00
10
00
00
11
10
01
01
10
00
11
00
00
00
11
11
00
11
00
11
10
01
00
00
11
11
10
00
00
00
10
11
00
10
00
00
10
00
00
10
10
00
00
10
10
11
10
10
01
00
11
00
01
00
00
01
10
00
00
11
10
01
00
10
10
00
10
00
01
11
10
00
11
00
11
01
01
10
10
10
01
10
10
10
00
00
10
00
10
11
11
01
10
11
01
11
10
00
10
10
01
01
00
11
10
00
10
00
00
11
10
10
11
01
00
00
10
00
00
01
10
11
01
10
01
00
01
10
10
00
10
10
00
01
10
10
10
00
01
11
00
11
10
01
00
00
10
10
00
00
01
00
00
00
10
10
11
10
10
01
10
01
11
00
00
11
11
00
01
10
10
00
00
10
00
00
01
10
11
01
00
00
01
10
10
10
00
00
10
00
11
11
00
10
00
01
00
10
10
11
01
00
10
00
01
01
00
11
10
01
10
11
00
11
10
01
11
10
01
10
00
10
00
00
10
10
00
11
11
00
00
00
11
11
00
10
00
00
01
10
00
10
11
10
11
00
10
10
11
10
00
10
10
00
00
10
10
00
00
00
11
11
01
10
00
00
10
00
10
10
00
10
00
00
11
00
10
00
00
10
11
10
10
10
00
11
01
01
01
11
10
00
11
01
00
10
10
00
10
00
10
10
00
01
10
10
00
11
10
00
00
00
11
10
01
00
10
11
01
10
00
00
11
10
00
00
00
10
10
11
00
01
10
00
11
10
00
00
10
10
11
11
10
11
01
00
11
10
11
00
00
10
00
11
10
00
00
10
01
11
10
00
11
00
01
00
11
10
11
11
00
01
10
10
00
00
00
11
10
01
11
11
10
10
00
10
00
01
11
10
00
00
10
11
01
11
10
00
01
01
00
01
01
00
00
10
10
10
01
01
10
10
01
01
01
01
10
01
01
00
10
01
00
10
10
10
00
00
10
00
11
01
01
10
11
10
01
00
11
01
01
10
10
00
00
10
10
01
00
00
11
10
00
00
00
10
10
10
10
10
10
00
10
11
01
11
00
11
10
01
00
11
00
00
00
11
10
00
01
10
10
11
10
00
00
11
00
10
10
11
00
01
00
10
11
00
11
00
01
00
10
10
11
00
10
11
01
01
00
10
10
10
00
11
10
01
00
00
11
10
01
00
00
10
00
00
00
10
10
10
00
10
11
01
00
11
11
00
10
11
10
10
11
10
00
01
10
10
01
00
11
01
00
01
01
10
11
11
00
10
00
11
10
00
11
00
00
10
00
00
10
11
01
10
01
11
10
10
11
00
01
11
10
00
01
10
01
10
10
10
11
01
10
00
00
10
10
10
01
00
01
00
10
00
10
11
00
01
10
10
10
10
00
00
10
10
01
00
01
00
00
00
10
00
01
11
10
01
01
10
11
01
00
10
00
00
00
00
10
11
00
10
11
00
00
10
10
10
10
00
01
11
10
00
10
01
01
10
00
01
11
00
00
10
11
10
01
10
10
00
00
10
11
11
00
11
10
00
10
10
10
10
00
01
10
01
00
10
11
01
10
10
00
00
00
10
10
01
00
11
00
01
10
10
10
11
10
00
10
10
10
00
10
00
10
00
00
00
00
10
10
11
11
00
00
00
11
00
00
11
10
01
01
10
11
00
01
11
01
00
00
10
11
00
00
01
10
11
00
00
00
11
10
01
10
00
01
11
00
00
00
10
10
01
00
11
10
01
01
00
00
10
11
01
10
10
00
01
00
10
00
00
10
10
11
10
01
00
01
11
11
00
01
10
01
11
10
10
00
10
10
10
01
01
10
01
00
00
11
01
01
01
10
10
01
00
10
10
01
00
10
11
10
11
11
00
00
00
10
00
00
10
00
00
10
00
10
00
00
10
00
10
10
11
01
10
00
10
11
00
11
00
00
10
11
00
11
00
00
11
01
10
10
00
10
01
11
10
01
10
00
00
01
10
10
00
01
01
10
10
11
10
01
11
00
11
00
10
11
00
00
00
11
10
11
01
00
00
10
00
01
00
10
10
01
10
00
00
10
00
11
00
00
10
10
10
01
00
10
00
00
00
10
00
10
00
10
11
00
00
01
00
10
11
10
01
10
11
00
01
10
10
00
01
10
00
00
11
10
11
11
01
00
11
00
00
01
11
10
01
10
10
01
10
00
01
01
10
11
00
10
10
10
00
00
11
10
10
00
10
10
11
00
11
00
11
01
00
10
10
11
10
00
00
10
00
01
01
01
10
00
11
11
10
10
10
11
10
00
00
00
10
11
00
10
00
00
00
10
10
10
10
11
10
00
00
00
11
10
10
00
00
00
10
10
01
00
10
10
00
00
11
10
10
00
01
10
11
00
11
10
01
01
00
10
11
10
01
00
10
00
01
10
00
11
10
01
10
00
00
00
00
10
00
01
10
10
11
10
00
11
00
00
10
00
10
01
01
01
10
10
10
10
00
10
00
10
10
00
01
10
10
00
11
11
10
10
00
01
10
10
01
11
11
00
11
11
10
00
01
11
11
01
10
00
10
11
10
00
00
10
00
00
00
11
01
00
10
11
10
00
11
00
11
11
01
01
10
01
00
00
11
10
00
10
00
00
00
01
10
00
11
10
00
00
11
10
00
00
00
11
00
11
10
10
10
00
00
00
00
11
00
10
00
11
01
00
00
11
01
00
11
10
00
00
10
00
00
00
10
11
00
01
11
11
10
00
01
10
00
00
01
10
10
00
10
11
11
11
00
11
10
10
10
10
00
00
01
11
01
10
10
11
00
00
00
10
11
00
00
10
10
01
10
00
00
00
00
00
10
01
10
10
01
11
11
10
01
10
10
00
01
10
11
00
00
10
01
10
11
10
10
10
00
10
00
10
10
01
10
00
10
00
00
00
01
10
11
00
00
00
01
11
10
00
10
00
00
11
00
10
10
00
10
10
01
10
00
00
00
00
10
00
01
10
10
10
10
00
10
11
01
00
01
00
11
01
00
10
00
00
11
00
10
11
10
10
00
00
11
11
10
00
00
00
00
01
01
00
11
10
10
00
00
10
10
00
10
10
00
00
00
11
11
10
00
00
11
00
10
10
01
00
00
10
10
00
00
10
10
00
10
00
00
00
11
00
10
01
10
00
01
10
00
11
10
01
10
10
10
00
01
10
01
10
10
11
11
00
00
10
11
10
01
00
11
00
10
11
10
01
01
00
10
01
10
00
00
10
10
00
00
10
11
00
01
10
00
10
10
10
00
10
11
00
11
00
01
10
10
10
10
10
00
00
00
01
00
01
10
01
00
00
01
10
11
00
00
10
01
01
10
00
01
10
10
10
11
01
00
01
01
00
00
10
10
11
00
00
10
11
01
01
11
00
00
01
10
01
00
11
10
10
00
10
00
01
10
00
01
10
10
10
01
10
01
00
10
00
00
00
00
10
10
00
01
10
00
00
10
00
10
11
10
10
10
00
01
00
00
10
01
10
11
00
00
00
10
10
11
10
10
01
10
00
10
00
01
10
01
01
11
10
00
00
10
10
00
00
11
10
00
01
01
00
11
10
00
01
10
10
01
11
11
10
00
00
10
00
00
10
10
10
11
10
11
00
10
01
00
10
00
11
10
00
00
11
01
00
00
10
10
11
11
01
01
10
00
00
10
10
00
00
11
11
00
10
01
11
11
00
11
01
10
01
01
10
10
00
10
01
01
10
11
10
11
10
01
01
00
10
10
11
00
10
11
11
01
00
11
00
10
10
01
00
10
10
00
00
11
10
11
00
00
10
00
10
10
01
00
01
10
10
10
11
10
10
01
01
01
00
11
10
10
00
01
00
10
10
00
11
01
10
00
10
00
00
00
10
10
10
00
00
10
01
00
01
11
10
10
11
00
00
11
10
01
00
00
11
00
00
00
10
11
10
00
01
10
01
01
01
10
10
00
10
11
01
10
00
00
00
10
01
11
10
11
00
11
10
11
11
11
00
01
00
00
00
10
01
10
01
00
00
00
01
01
10
00
01
11
10
01
10
11
10
00
01
01
10
10
10
00
10
10
10
10
11
01
00
10
10
00
11
00
10
00
00
10
00
00
00
11
11
00
10
00
10
00
10
10
10
10
00
00
11
10
10
01
10
00
10
00
11
01
10
10
10
00
01
11
01
11
00
11
01
00
10
10
00
00
00
00
10
10
01
01
01
10
00
00
00
00
00
10
10
00
10
10
00
00
10
01
00
00
11
10
01
01
00
10
00
01
00
00
00
01
11
10
01
11
01
11
01
00
11
01
01
00
11
10
11
10
00
00
11
00
00
00
10
00
01
10
10
11
00
01
10
10
10
10
01
10
00
01
01
10
00
00
10
11
10
00
01
00
11
10
10
01
00
00
11
00
00
01
00
10
00
10
10
00
00
01
10
10
00
10
01
11
00
00
01
10
10
00
00
00
01
01
00
10
10
11
10
11
10
01
00
00
00
10
11
01
00
11
10
00
00
01
01
10
11
01
10
11
00
00
00
11
10
01
11
10
11
00
01
00
01
10
01
10
10
00
11
00
01
10
10
10
10
00
00
00
10
00
00
10
10
10
11
11
01
00
11
00
01
10
00
01
10
00
10
00
01
10
11
10
10
00
10
11
01
00
11
10
01
10
11
00
01
10
00
00
10
10
10
00
01
10
01
11
10
01
10
00
00
00
10
01
00
11
10
10
10
10
10
00
00
10
10
10
00
10
00
11
10
01
00
00
11
10
11
10
10
10
10
10
11
00
00
10
01
11
01
10
00
11
10
00
01
10
11
10
00
10
00
00
01
10
10
01
00
10
00
11
10
11
10
10
10
10
10
10
10
00
10
10
10
01
00
00
00
01
00
01
10
11
10
10
00
00
01
01
00
11
01
10
10
00
11
11
00
00
11
10
00
10
10
00
10
10
01
01
01
00
00
10
10
00
00
00
10
10
10
00
00
11
10
11
10
00
10
01
10
11
00
00
10
01
00
00
00
10
10
10
11
01
10
11
10
00
00
00
10
11
10
10
01
10
00
00
11
01
00
10
01
00
10
10
00
10
11
00
10
10
00
00
00
10
10
10
10
00
11
01
00
10
00
10
11
01
11
01
10
10
01
00
00
10
11
00
10
10
00
11
01
11
10
00
00
00
00
01
10
10
00
10
01
10
00
11
00
11
01
10
00
10
10
11
01
00
11
10
00
11
00
00
10
01
00
01
01
10
00
10
01
00
11
11
11
00
01
00
11
01
01
10
11
00
01
00
00
10
10
00
00
10
10
10
10
00
00
10
01
10
11
01
10
01
01
01
01
11
11
10
01
01
01
10
11
00
00
10
10
00
01
11
11
10
11
00
10
11
10
00
00
11
10
00
00
10
00
01
01
11
11
00
01
01
10
11
01
01
11
10
01
11
11
01
11
10
00
10
00
00
11
10
00
00
01
00
00
00
10
10
11
11
00
00
00
01
10
01
11
10
00
10
10
10
01
00
01
10
01
00
01
10
00
00
01
11
00
11
10
00
00
00
10
10
01
00
00
10
10
00
00
00
11
00
00
01
00
11
01
10
11
00
10
01
01
11
00
01
10
00
01
10
10
10
00
01
00
10
10
10
01
00
01
01
10
00
01
00
10
00
00
00
10
11
11
10
00
00
00
10
11
00
00
11
10
00
00
10
11
01
01
00
11
11
11
10
00
00
10
10
00
01
10
00
00
10
11
00
01
00
10
01
10
11
10
00
00
11
10
01
00
10
00
10
00
10
10
11
00
10
00
01
00
11
01
00
00
10
10
00
00
10
10
00
10
01
10
10
01
10
10
01
00
11
10
01
00
01
01
11
10
00
01
00
00
11
00
10
10
10
01
11
11
00
10
10
00
11
11
10
01
11
01
01
01
00
00
10
11
01
00
10
00
00
00
01
11
10
11
10
11
00
00
10
10
01
01
00
01
10
10
10
01
00
01
00
10
00
00
10
00
00
10
10
00
10
11
01
10
00
11
11
10
00
11
01
10
00
10
10
11
10
01
00
00
11
11
00
10
10
00
00
10
10
11
00
00
11
01
10
11
01
01
00
00
10
10
00
00
00
00
00
01
01
11
10
00
10
10
00
00
10
10
10
11
00
10
00
11
01
00
01
10
10
11
00
11
00
10
00
11
10
11
01
00
11
00
11
10
11
00
01
01
10
11
00
00
10
10
00
10
10
00
01
11
00
10
00
10
00
11
01
00
10
01
10
11
10
00
00
10
10
01
10
11
10
10
11
00
01
00
11
10
01
00
10
10
00
01
10
11
11
01
01
01
10
10
10
00
01
00
10
10
10
01
10
01
00
10
11
11
00
10
00
01
10
10
10
00
10
00
01
01
10
10
00
00
10
10
10
00
00
00
10
10
10
00
11
10
01
00
10
10
10
00
00
10
00
11
11
00
00
10
11
00
01
11
10
01
00
00
10
01
00
01
11
01
10
11
00
11
01
01
10
00
10
10
10
10
00
10
11
00
00
00
00
10
00
01
10
00
01
10
10
10
10
10
10
00
00
00
01
11
10
11
00
10
00
00
00
10
00
10
00
01
11
11
11
10
10
01
10
10
00
01
11
10
10
01
01
00
10
11
00
01
00
11
10
10
10
11
11
00
00
00
10
01
01
11
11
00
10
01
10
00
01
10
01
10
00
01
10
00
00
11
10
10
11
00
01
10
11
00
00
01
00
10
10
10
10
10
11
01
10
00
00
11
10
00
00
10
01
11
11
01
10
10
11
01
01
10
11
01
00
10
01
10
10
10
01
00
10
01
10
01
00
00
11
11
01
10
10
00
00
10
00
00
10
11
11
00
00
10
01
00
01
00
01
10
00
11
00
00
11
10
00
10
00
10
01
00
01
10
10
11
10
01
01
10
10
01
00
01
10
10
10
00
10
10
00
01
10
00
11
10
10
00
00
10
10
10
00
00
10
11
10
10
10
10
00
01
11
10
00
01
00
00
11
01
00
01
10
10
01
10
11
00
00
10
11
10
11
10
00
10
10
00
00
10
11
00
10
00
00
00
01
10
00
01
10
00
10
01
00
11
10
01
00
11
01
10
10
10
10
11
01
00
10
10
01
01
01
10
10
01
00
00
01
10
11
01
10
00
01
11
10
00
00
10
00
00
00
10
01
11
00
10
10
11
10
00
01
10
11
11
10
00
10
10
01
10
11
00
11
00
11
10
01
11
11
01
10
10
10
11
00
00
10
10
00
00
10
00
00
00
00
10
00
00
01
00
11
00
01
11
10
00
10
10
11
00
00
01
10
10
11
10
00
00
11
11
00
00
01
00
00
01
10
10
01
01
10
01
00
00
01
10
11
11
11
00
01
10
00
11
11
01
10
00
01
00
10
00
11
10
01
10
10
00
01
01
10
00
00
11
00
11
10
00
01
10
11
11
10
00
00
10
00
10
10
10
11
00
11
01
00
10
10
11
10
00
00
00
00
10
10
11
10
00
01
10
00
00
10
00
00
00
11
10
11
00
00
10
11
10
01
00
11
00
10
01
10
00
00
11
11
00
01
10
10
00
11
00
00
11
10
10
00
00
10
10
01
00
11
00
00
00
11
11
11
01
01
11
01
10
11
10
00
00
10
11
10
11
01
00
00
00
00
10
10
00
01
10
10
01
00
10
10
01
10
00
10
10
10
00
00
10
00
10
10
00
00
11
11
01
11
00
00
10
10
00
00
10
10
10
00
01
00
11
10
01
11
10
01
00
10
11
01
00
11
10
00
01
10
00
00
10
10
10
00
10
10
10
11
10
00
10
10
00
00
00
00
00
10
00
11
10
00
10
00
00
11
10
01
10
10
00
10
11
10
10
00
00
10
10
11
00
10
10
00
10
10
01
10
10
10
10
00
00
01
00
11
00
10
10
11
10
10
10
01
00
10
10
10
11
00
11
11
00
10
11
10
01
00
11
10
10
10
00
10
01
11
11
01
00
10
01
10
11
00
00
01
10
10
01
10
10
00
01
00
00
01
00
01
00
10
10
00
10
11
00
11
01
11
00
00
11
10
00
00
11
10
01
00
00
10
10
11
01
00
11
00
00
10
00
01
11
11
11
00
01
00
10
11
00
10
10
11
11
01
01
10
10
01
10
00
11
01
00
10
00
01
10
01
10
11
01
01
10
00
10
10
11
00
10
11
01
11
11
11
00
01
00
10
10
00
10
00
10
11
00
00
10
01
00
11
00
00
00
00
00
10
11
10
00
00
11
01
11
00
00
11
10
11
01
00
11
10
00
00
10
01
01
10
10
10
11
10
10
01
00
00
10
10
00
11
10
00
00
10
00
10
10
01
10
10
00
11
00
00
00
10
00
00
10
11
10
01
10
01
01
00
00
11
01
01
01
11
10
00
11
00
00
10
10
00
11
00
00
00
11
00
10
11
01
10
00
11
10
01
00
10
01
11
11
00
00
00
11
00
10
11
01
10
01
00
00
10
10
01
10
00
01
01
01
11
10
01
01
00
10
00
10
10
01
11
10
11
00
00
00
11
10
00
00
10
00
01
01
11
11
10
01
01
00
00
00
11
11
11
11
01
11
10
01
11
11
01
00
00
11
00
10
10
10
00
11
10
00
10
00
10
01
01
00
00
10
10
11
10
00
01
00
10
10
10
01
10
11
00
11
11
10
00
01
00
10
00
00
10
10
10
11
00
01
00
10
00
01
00
00
10
01
00
10
00
10
10
00
00
00
00
10
11
11
10
00
01
11
00
10
00
10
01
10
01
00
10
10
10
10
00
01
11
00
10
00
10
10
00
00
10
10
00
11
11
10
01
11
10
11
01
10
01
10
10
00
01
10
00
01
11
10
01
11
11
00
11
10
10
11
00
00
00
11
10
00
00
10
00
11
01
11
01
01
11
10
01
00
10
10
00
10
10
00
00
00
00
00
01
11
00
10
11
01
00
00
10
11
00
11
10
01
11
00
01
10
01
01
00
10
01
00
10
01
00
00
01
10
11
00
11
00
01
10
10
00
00
10
10
10
00
00
00
00
11
10
10
10
10
11
00
10
01
11
11
10
01
00
10
10
11
00
00
10
10
11
00
10
10
10
00
10
11
00
00
01
00
00
00
00
00
11
11
00
00
00
10
00
10
11
00
11
10
10
10
00
01
00
00
11
00
10
11
10
10
11
10
11
10
01
00
00
10
10
10
00
01
11
11
10
11
11
01
00
10
00
00
10
11
00
01
10
11
00
01
01
00
00
10
10
00
10
10
00
00
00
10
10
10
10
11
00
01
10
10
00
00
01
11
10
00
10
11
10
00
10
10
01
00
00
10
11
00
00
11
00
10
00
11
10
00
00
10
00
11
10
00
00
00
00
11
10
00
01
11
00
01
00
01
01
10
10
01
10
10
11
01
00
11
00
10
00
00
00
00
11
10
11
00
00
11
00
00
10
10
10
10
00
01
10
00
10
01
00
10
11
00
10
11
10
11
10
00
00
00
10
00
00
00
11
11
01
10
00
01
11
00
10
10
00
11
10
00
01
11
00
01
00
11
10
01
01
01
11
11
00
01
00
11
10
01
00
11
11
10
10
01
10
10
00
01
01
00
00
10
10
11
00
10
10
00
00
10
10
01
10
01
01
10
10
01
01
00
00
00
10
10
00
00
01
01
01
00
00
10
00
10
10
11
00
11
10
00
11
00
00
10
10
00
01
11
11
01
10
10
10
10
00
00
10
10
00
00
01
11
00
10
10
00
01
10
11
11
11
01
10
00
10
10
00
00
10
11
00
00
10
00
00
00
00
11
00
11
10
11
00
10
01
00
11
10
11
01
00
10
10
00
11
01
00
10
01
00
01
10
00
10
00
00
11
00
00
11
10
10
10
10
00
10
11
01
00
10
10
00
01
00
01
00
00
11
10
10
11
00
11
10
00
10
00
00
10
10
01
10
01
11
01
01
00
00
00
11
00
10
10
10
10
10
00
01
10
10
11
01
10
10
11
00
10
10
11
00
00
11
00
00
10
10
10
10
10
10
00
11
10
11
11
10
00
00
01
00
11
00
10
00
00
10
00
00
10
10
11
10
01
11
10
00
00
01
10
00
00
11
00
00
00
00
11
00
01
11
10
00
10
10
01
00
11
10
00
10
01
11
10
01
00
10
00
00
10
10
11
01
00
00
01
10
00
00
10
00
01
11
10
00
00
00
10
01
00
10
01
00
11
11
10
10
11
00
00
00
10
00
10
01
10
10
10
11
11
00
11
00
11
10
10
11
10
10
10
00
00
00
10
00
01
01
10
10
00
10
00
01
10
10
00
11
01
01
10
01
00
01
11
01
10
10
01
10
01
00
00
11
10
11
11
00
10
01
11
10
01
01
00
00
00
01
11
10
01
00
10
10
11
00
10
10
10
00
10
11
00
00
00
01
01
11
00
10
10
10
00
10
10
01
00
10
00
00
11
11
00
00
00
00
11
10
00
10
10
01
11
10
10
01
01
01
11
00
01
00
11
11
01
00
10
00
11
01
00
00
10
10
10
10
01
00
10
10
00
01
10
10
00
11
00
00
01
11
10
11
10
00
01
00
00
01
01
10
00
00
00
01
00
00
11
00
10
00
11
01
00
00
10
00
00
01
01
10
11
01
10
10
10
10
10
10
01
01
10
11
10
11
01
00
00
10
00
00
00
00
10
01
00
10
11
10
00
01
10
11
00
11
11
10
01
11
00
00
10
11
11
10
11
10
00
10
00
10
11
00
01
00
01
00
10
11
10
00
00
00
10
11
00
00
00
10
00
10
10
00
10
00
11
00
10
11
11
10
11
10
11
00
11
11
10
01
00
01
11
11
01
10
11
00
10
00
01
10
10
00
01
10
10
00
10
10
00
10
10
01
00
00
11
11
10
10
10
01
11
11
01
00
00
00
01
00
10
00
01
10
00
10
11
00
00
01
11
00
00
11
01
01
11
11
00
01
01
11
01
01
10
10
00
11
01
11
11
00
01
01
10
11
00
00
00
10
10
11
01
00
00
00
01
01
00
11
00
00
10
11
10
01
11
10
10
00
11
11
01
00
11
10
01
10
01
01
11
10
00
10
00
00
01
11
11
10
01
11
01
00
10
10
10
00
00
01
11
10
10
10
00
10
10
00
01
10
10
01
11
10
00
10
10
00
00
10
10
00
00
01
10
01
00
10
00
00
10
10
00
01
10
00
00
01
00
10
00
01
01
01
00
00
10
10
11
00
01
01
11
10
00
00
11
00
10
01
00
11
00
00
10
10
10
01
10
10
00
01
10
10
01
00
11
10
00
01
00
00
00
10
10
00
00
10
00
10
00
01
00
00
10
00
00
00
10
11
00
00
00
10
10
10
10
00
11
01
10
10
01
00
11
00
00
11
10
01
00
11
11
00
00
10
00
01
10
11
00
00
10
10
00
10
10
10
10
10
10
00
01
00
01
11
11
00
01
11
00
00
10
10
01
10
11
10
01
00
00
01
11
00
10
00
01
00
00
11
00
00
10
00
10
11
01
00
00
11
10
01
00
01
01
00
11
10
00
01
10
10
01
11
00
00
11
10
00
00
11
11
01
11
10
01
10
11
10
00
01
11
00
00
01
10
00
01
10
10
11
01
10
00
10
01
10
00
00
10
01
10
10
01
00
00
00
10
10
01
11
00
10
10
10
10
10
01
00
11
00
10
00
01
10
00
11
10
01
00
11
10
00
00
10
00
00
00
10
00
01
10
11
01
00
00
11
00
10
00
00
00
10
10
00
01
10
10
00
00
10
01
10
10
01
00
10
10
11
11
01
10
00
10
11
10
00
00
10
10
00
10
10
10
00
11
00
01
10
10
11
11
00
01
10
10
10
01
01
10
00
10
10
00
00
00
00
10
01
10
00
10
01
00
00
10
10
01
00
11
00
10
01
10
10
10
00
00
00
10
10
00
11
00
10
01
10
01
11
11
00
00
10
00
00
10
10
11
00
00
00
10
01
01
10
00
00
00
10
10
01
10
10
10
00
00
01
00
11
01
01
01
10
10
01
01
10
11
11
00
10
11
00
00
10
10
00
00
00
00
10
00
10
11
11
10
00
00
10
11
00
10
00
01
10
11
10
01
00
11
01
00
01
10
00
00
10
10
10
10
10
00
01
10
00
10
10
00
10
00
11
01
00
10
10
00
00
00
00
10
00
01
11
00
11
10
10
01
00
00
10
10
01
00
11
10
01
00
10
01
10
01
10
00
00
00
00
10
00
00
11
10
11
00
00
10
10
00
00
10
10
00
01
11
00
10
01
11
00
10
00
10
00
00
11
11
00
01
01
10
00
10
10
00
10
11
00
01
01
01
00
10
00
00
01
10
11
00
10
11
10
11
10
00
00
00
00
01
00
10
10
00
10
10
01
11
10
11
00
00
01
01
11
10
01
00
11
11
11
00
00
11
00
10
10
10
00
00
10
11
01
00
00
11
11
01
10
10
10
10
00
00
10
00
00
00
00
01
11
00
11
10
00
00
00
10
01
00
10
00
11
10
11
00
01
01
10
11
00
10
10
10
00
01
10
01
00
00
10
00
10
10
00
00
00
11
00
10
10
01
11
10
11
10
10
00
10
10
00
01
11
10
01
10
01
01
00
01
10
10
00
01
11
11
10
00
01
10
00
11
11
01
00
00
11
10
01
10
00
01
10
11
11
00
01
00
10
11
01
00
10
00
10
00
01
10
10
00
01
00
01
10
01
00
00
00
11
10
10
10
00
00
11
00
00
10
01
11
01
10
11
11
10
01
01
10
10
10
10
00
11
10
01
00
00
01
00
00
00
11
10
10
11
00
11
00
10
11
00
00
00
01
11
10
11
11
00
01
01
11
00
10
10
00
10
00
00
10
10
11
00
00
11
10
00
11
11
01
00
10
10
10
10
10
00
00
01
00
11
11
01
01
10
01
10
10
00
10
00
01
10
11
10
11
00
00
00
00
00
11
00
00
10
00
10
00
00
11
01
00
01
00
11
11
11
11
00
01
11
11
00
00
00
10
00
00
10
10
00
01
00
10
01
11
01
10
10
00
01
10
10
01
01
11
10
10
10
11
00
10
00
01
10
00
10
00
10
10
11
00
11
00
00
10
00
10
00
00
10
10
11
00
10
10
11
00
10
10
01
10
11
10
10
00
10
00
00
10
00
01
11
10
01
01
10
10
11
10
10
11
01
00
00
00
10
00
11
11
01
11
01
10
00
00
10
01
10
10
00
00
10
00
00
00
00
11
00
10
01
00
01
00
10
11
10
11
01
10
11
00
00
00
11
11
00
01
10
10
01
10
01
01
10
10
11
11
10
01
10
00
00
01
00
10
10
00
11
11
00
10
00
10
01
10
11
00
00
11
10
01
00
00
01
11
11
01
10
10
10
11
01
00
11
10
01
00
00
11
10
10
00
01
10
10
01
00
01
00
10
10
10
01
00
11
10
01
00
11
00
10
01
00
11
01
00
00
10
10
00
00
11
10
00
00
10
10
00
00
11
11
00
01
00
11
11
10
10
01
11
00
10
10
01
00
00
00
10
11
10
10
11
10
10
01
00
11
10
10
11
00
10
11
11
00
10
10
10
00
01
10
00
01
11
01
10
00
00
00
10
10
10
00
01
11
10
00
01
10
00
01
10
01
00
11
00
00
11
10
10
01
00
11
00
00
01
01
00
10
11
00
10
10
01
10
00
00
11
00
00
10
00
11
10
00
01
00
10
00
00
10
01
10
10
00
01
00
11
10
01
10
11
01
11
11
00
01
00
00
10
01
00
10
10
00
01
11
00
01
10
11
00
00
11
00
01
10
01
00
00
00
00
00
11
11
10
11
01
00
10
10
00
01
00
11
10
11
10
11
10
10
00
10
00
01
11
01
10
00
00
11
10
00
00
11
00
01
10
10
10
11
10
01
10
01
00
10
00
00
01
00
10
10
00
10
00
11
00
00
00
00
10
10
10
10
10
00
10
00
01
00
00
00
00
10
11
10
00
10
10
00
01
10
00
00
10
10
00
01
00
10
00
10
00
10
00
00
10
10
11
01
00
11
11
00
01
10
10
11
00
01
00
00
11
10
10
00
01
11
11
10
11
00
00
00
10
10
00
00
00
10
00
10
10
10
10
00
10
01
10
10
10
10
00
01
00
11
00
00
10
00
10
10
11
01
01
10
10
10
00
00
10
10
00
00
01
10
01
01
10
00
10
00
11
10
00
00
01
01
11
10
10
00
00
10
00
00
11
10
10
10
00
00
11
00
11
10
11
00
10
11
10
00
00
00
01
01
01
10
10
10
00
00
00
00
00
00
11
00
00
01
10
10
11
10
10
00
11
00
00
10
11
00
00
10
00
00
11
10
11
01
10
01
01
11
00
11
00
11
00
10
11
01
00
11
00
00
00
11
10
00
10
11
00
01
00
11
10
00
10
11
01
01
00
11
00
10
11
00
10
10
01
00
00
01
01
10
11
10
10
01
00
10
10
00
01
10
00
01
00
10
10
10
00
10
11
10
00
00
00
00
00
00
10
11
10
00
00
00
01
10
11
10
00
00
10
10
01
00
10
00
00
11
10
11
00
01
10
00
00
11
11
10
11
00
01
01
00
01
01
10
10
01
00
10
11
01
00
01
01
10
11
11
00
00
10
10
00
00
10
10
10
01
00
01
10
00
00
10
10
01
10
11
10
01
00
10
10
00
10
00
00
10
10
00
00
11
00
01
00
01
00
10
10
00
10
00
10
10
00
00
11
10
00
00
10
11
00
00
00
00
00
00
00
10
11
01
11
00
00
00
00
00
11
10
01
00
10
10
11
01
00
10
10
00
01
01
00
01
00
10
11
10
10
00
10
10
00
00
11
10
00
00
01
11
01
10
10
01
00
00
00
00
11
10
00
11
00
00
10
00
00
00
00
00
01
01
10
10
00
00
11
00
11
10
01
11
10
00
01
00
00
01
01
10
10
11
01
11
00
00
10
11
00
10
10
00
00
11
11
01
01
10
11
00
01
00
11
10
00
00
11
10
00
00
10
01
00
00
10
01
00
10
00
00
11
00
00
10
00
00
00
01
10
01
01
00
11
00
00
01
10
01
11
11
11
01
10
11
00
00
10
00
00
11
10
00
11
10
10
10
00
00
01
11
11
01
10
10
10
01
11
00
11
10
01
00
01
01
01
01
10
01
10
00
01
10
10
00
10
10
00
01
10
10
10
10
01
11
00
00
10
10
10
01
01
00
10
10
10
11
10
11
10
00
01
10
00
00
10
10
00
00
00
00
10
00
00
01
00
10
00
10
10
10
00
11
11
01
11
10
00
10
00
10
01
10
01
10
01
00
00
11
10
11
01
00
10
10
11
00
01
10
00
00
11
00
10
00
00
10
11
00
11
11
10
11
01
01
00
01
10
10
01
00
10
10
10
00
10
10
10
00
00
10
10
10
00
00
10
00
00
10
01
00
10
10
11
00
10
11
10
00
00
01
10
00
11
01
00
10
00
00
01
00
10
11
01
01
10
01
00
10
00
00
00
10
01
00
00
01
10
10
10
10
10
10
01
00
01
10
01
10
01
11
00
00
11
11
00
01
01
11
10
00
10
01
00
00
10
10
10
10
10
10
10
00
10
00
10
00
10
10
11
00
01
10
00
11
00
10
10
10
00
10
10
01
00
10
10
01
00
00
11
10
00
10
11
00
01
11
10
01
00
11
10
10
00
11
10
00
11
00
01
10
11
11
01
00
10
01
00
10
10
01
00
10
01
00
11
10
01
00
10
10
01
00
10
01
00
10
00
00
10
10
01
01
00
10
01
00
11
11
00
10
11
10
00
01
10
00
01
01
10
11
11
01
00
10
00
10
10
01
00
11
10
00
01
00
10
11
10
01
10
00
00
10
10
10
10
00
11
10
01
00
00
01
00
01
11
10
00
11
10
10
10
00
10
11
00
10
00
00
11
10
00
00
11
10
10
10
01
10
11
10
10
00
00
10
00
10
10
00
11
10
10
00
10
00
10
10
00
00
01
10
10
00
10
01
10
01
00
00
10
00
10
01
10
11
00
00
00
10
10
00
00
10
00
00
10
00
10
00
01
01
10
01
11
10
00
10
00
01
11
11
11
11
11
10
00
01
00
01
00
10
11
11
10
00
00
01
01
10
10
10
01
00
10
00
10
00
01
01
10
00
11
01
00
00
11
11
01
01
10
10
11
01
01
11
11
01
10
10
01
00
10
10
10
11
11
00
11
00
01
01
00
10
11
10
00
00
11
00
00
10
10
00
10
10
00
11
00
00
00
00
11
00
00
10
00
10
00
01
10
10
11
01
01
10
00
00
00
10
10
10
00
11
10
10
10
00
10
00
11
11
10
10
11
01
10
11
00
00
00
00
01
00
10
10
10
00
10
10
10
10
00
00
11
10
00
01
10
11
01
10
10
11
00
01
11
11
10
00
00
11
11
01
01
01
00
10
10
10
10
01
10
11
00
00
10
01
11
00
10
11
10
01
01
01
11
00
11
10
00
00
00
10
00
00
11
11
10
10
00
01
10
10
00
00
10
00
11
10
10
10
11
11
00
00
11
00
00
00
11
11
10
11
01
10
00
11
00
01
11
10
01
01
11
10
00
00
11
11
00
01
11
10
10
00
10
10
00
10
10
11
10
00
01
00
10
00
10
11
01
01
00
01
11
10
10
00
10
11
00
00
01
11
10
11
11
10
00
01
10
10
01
00
11
11
01
01
00
01
10
10
00
01
00
10
00
00
10
00
10
00
10
10
00
00
00
00
01
11
00
10
10
00
01
10
10
10
00
10
10
00
10
11
10
00
10
11
01
00
10
10
10
10
10
00
00
01
10
10
01
00
11
11
01
00
01
00
10
10
00
11
10
11
10
00
00
00
10
00
00
01
01
01
10
00
11
00
10
10
00
10
00
00
10
00
10
10
01
10
01
00
01
10
01
00
10
10
00
00
10
01
10
11
11
00
11
10
10
10
10
00
00
10
11
01
00
01
01
10
10
10
10
10
11
10
00
10
00
11
11
10
01
11
00
11
11
00
01
11
00
00
00
10
10
00
00
01
00
10
11
01
00
01
01
00
01
11
10
00
01
10
10
00
00
10
11
00
01
01
00
10
10
10
01
00
11
00
01
00
11
10
10
10
01
00
10
00
00
00
10
10
10
00
00
00
11
00
00
11
00
00
00
10
11
00
00
10
00
10
10
00
01
01
11
00
10
10
00
00
00
01
11
10
10
00
00
01
10
00
00
10
11
00
01
10
11
00
10
10
00
10
00
00
10
00
10
11
10
11
00
01
01
00
10
10
10
01
00
10
01
01
10
00
01
10
11
10
01
10
00
00
11
01
00
10
01
00
00
00
01
10
00
10
00
00
10
10
00
00
01
00
00
01
01
10
11
00
01
00
00
10
01
00
00
11
10
00
00
00
01
01
10
10
01
10
11
00
01
10
11
00
10
10
00
11
11
11
00
00
11
10
00
00
11
10
01
00
01
10
10
10
10
10
00
10
10
10
10
00
00
00
00
00
11
11
10
10
10
10
00
00
00
11
10
00
11
10
10
10
00
11
10
00
10
10
00
01
01
10
01
00
10
00
00
10
10
01
10
00
00
01
10
10
01
00
10
01
11
11
11
00
01
10
10
00
01
10
10
00
10
01
00
11
01
01
11
00
10
10
10
00
01
00
01
10
10
11
11
11
10
01
00
11
00
10
00
01
10
00
00
10
10
11
11
01
00
00
10
10
10
00
00
11
11
01
10
11
10
01
01
11
00
00
11
10
10
00
10
10
00
11
01
10
01
10
00
00
10
00
10
10
10
11
00
10
00
00
11
10
00
01
11
00
10
11
00
00
01
11
10
00
10
10
10
00
00
01
01
01
00
11
00
10
11
00
10
10
10
00
10
10
00
11
11
11
10
11
10
01
00
10
11
10
01
00
00
10
01
11
01
10
01
00
10
11
00
11
10
10
00
01
11
10
10
00
11
10
10
11
00
10
11
00
00
00
00
11
10
11
10
10
10
01
11
01
00
00
00
00
00
10
00
00
10
11
11
01
10
00
10
01
10
01
00
11
10
10
10
00
01
10
10
00
10
00
01
00
11
10
11
00
00
01
11
00
00
00
11
10
11
11
00
11
10
10
00
00
10
10
00
00
00
00
01
11
10
01
10
00
00
11
11
10
01
00
01
01
10
01
11
11
00
10
11
10
10
00
01
10
10
10
10
10
01
00
00
00
11
00
00
11
10
00
10
00
00
11
00
01
11
01
11
11
01
11
10
00
01
11
10
01
00
11
01
10
11
00
00
00
01
10
11
10
00
10
10
00
00
11
10
00
10
01
01
10
10
10
00
11
11
01
01
10
10
00
00
01
10
11
10
10
00
10
00
00
10
11
10
01
10
01
00
01
00
11
00
01
10
10
10
01
11
00
11
11
10
01
10
11
11
00
01
00
00
10
00
00
10
00
10
01
10
11
00
10
10
11
10
10
00
01
00
11
00
11
01
00
01
11
11
00
11
11
10
01
00
00
01
00
10
00
11
10
10
00
00
11
11
00
00
10
10
10
11
10
00
01
01
00
11
11
01
01
11
00
00
11
10
11
00
11
10
00
10
00
11
11
11
11
00
00
11
11
10
00
01
10
10
00
00
10
11
00
10
10
00
11
01
00
10
00
10
00
10
00
01
00
11
10
00
10
10
00
01
00
10
01
01
00
01
10
10
10
00
00
10
00
00
10
10
00
10
10
10
00
00
11
10
11
00
11
00
00
10
11
11
00
11
00
11
11
10
10
00
00
01
00
10
00
10
00
00
10
00
11
00
00
00
01
01
11
00
10
00
00
01
00
10
10
01
00
01
00
11
10
00
10
10
01
01
10
11
01
00
01
10
00
10
10
00
10
10
00
11
11
10
00
00
00
11
01
11
10
00
10
00
00
11
10
01
11
00
01
11
10
11
00
10
01
00
11
01
01
11
00
10
01
10
10
11
01
01
10
10
00
11
01
10
00
01
10
00
00
10
11
00
10
00
00
00
00
01
00
01
10
00
10
00
00
10
00
00
11
01
11
00
00
01
10
01
10
10
00
00
00
11
10
00
10
11
10
00
01
00
10
10
01
10
11
01
11
00
10
10
10
10
01
00
10
11
00
11
11
10
11
01
10
10
10
00
10
10
10
00
00
10
00
00
11
10
00
10
10
11
10
00
00
00
10
10
01
00
10
01
00
01
10
11
10
00
00
10
11
00
11
11
01
01
10
11
01
00
11
01
00
10
10
11
11
00
10
01
00
10
10
00
00
00
11
11
11
11
00
11
00
10
11
10
00
01
01
11
00
00
00
00
10
10
11
00
01
10
00
11
01
01
11
10
10
00
00
11
00
01
00
00
10
00
10
10
10
00
00
11
00
11
11
01
01
11
01
11
00
00
00
10
10
10
01
00
10
00
10
11
00
11
10
00
11
11
10
01
01
10
00
00
10
10
10
01
10
10
00
10
10
00
01
01
00
00
01
00
10
00
00
00
00
00
10
00
00
00
10
01
10
00
00
10
10
10
01
00
10
01
10
10
00
00
01
10
10
00
10
01
10
10
00
00
00
00
10
10
10
00
10
00
11
10
11
01
00
01
10
00
10
10
01
00
00
10
10
10
11
10
01
00
10
00
10
00
11
10
10
10
01
00
00
00
00
01
00
11
00
00
10
11
10
11
00
01
01
11
00
00
10
10
11
10
10
00
01
00
10
10
01
11
11
00
00
10
11
00
01
10
10
10
11
10
10
10
01
01
01
00
00
10
10
10
11
01
01
10
01
00
10
10
11
11
01
01
10
01
01
00
01
00
10
11
10
11
00
10
11
10
00
00
11
00
01
00
00
01
10
11
00
11
10
10
10
11
01
00
01
11
01
01
00
01
01
10
00
01
10
11
10
01
10
01
01
11
00
00
11
11
00
00
10
01
00
00
10
00
00
10
01
00
11
10
00
00
10
01
01
00
10
11
11
00
11
10
01
01
00
01
00
11
10
11
01
10
00
00
00
10
10
00
00
11
00
11
10
10
00
10
01
01
10
10
01
00
11
00
11
11
00
00
10
10
00
11
10
00
00
01
10
00
00
00
10
00
10
11
10
11
01
11
10
00
10
10
10
01
10
10
00
01
00
00
00
00
01
01
00
11
00
01
10
10
00
00
10
01
10
10
10
01
00
10
00
11
00
10
00
00
10
01
01
10
00
11
10
10
00
00
10
01
00
00
00
10
00
11
00
10
11
01
01
01
11
00
10
10
00
10
00
01
10
01
00
00
11
11
11
10
11
00
00
10
10
10
01
00
11
01
01
00
11
10
10
10
01
10
10
10
00
00
00
01
11
11
10
00
00
11
00
00
00
10
10
00
11
01
11
10
10
10
00
11
10
00
00
10
01
00
00
10
10
01
00
00
01
00
11
01
01
10
10
11
10
10
10
11
00
10
00
00
00
01
10
10
11
10
00
00
11
01
11
00
01
11
10
10
01
00
10
10
00
01
10
11
00
00
10
00
10
10
00
10
10
11
00
11
10
00
00
10
11
10
11
00
10
10
11
10
11
10
01
10
01
00
01
11
10
00
00
01
00
00
11
11
11
10
00
00
10
00
01
00
10
01
01
10
00
11
10
01
00
01
11
00
00
10
00
00
11
01
00
00
10
10
10
00
10
11
10
10
10
10
00
10
10
10
01
00
01
00
10
10
01
00
10
10
01
11
10
00
00
10
00
00
10
10
01
00
01
10
00
10
00
10
10
10
00
00
00
10
00
11
10
10
10
00
00
11
01
10
11
01
10
11
10
00
00
00
00
10
01
10
01
00
00
01
10
01
11
10
00
10
00
11
10
01
10
10
00
10
11
00
10
00
10
01
00
00
10
00
10
10
00
10
11
00
11
10
11
00
10
00
10
00
00
11
11
01
00
10
00
01
10
01
00
11
00
11
01
10
01
00
10
00
10
11
10
01
00
10
11
00
10
11
01
00
00
10
11
10
00
10
11
01
10
10
00
10
10
00
00
01
10
00
00
10
10
11
00
01
01
10
11
10
00
00
10
10
10
01
00
10
10
00
11
10
10
01
01
10
00
01
00
11
00
10
11
00
00
10
00
00
10
01
10
01
01
10
00
11
00
10
10
00
00
11
00
00
10
10
01
11
01
01
10
10
01
11
01
01
11
10
01
01
01
11
10
01
00
11
10
00
00
00
10
10
00
01
00
10
10
00
00
11
00
01
11
00
10
10
11
10
11
01
00
10
11
10
10
11
00
00
10
00
10
11
01
01
00
00
11
00
10
10
11
00
00
00
00
00
00
10
01
11
00
10
00
11
00
10
10
10
00
10
10
11
00
10
11
10
10
10
00
00
01
11
10
01
00
11
11
11
00
00
10
10
00
10
10
01
00
10
10
11
10
11
00
10
10
10
01
00
00
00
00
00
01
00
10
10
00
00
10
01
00
00
00
10
11
01
10
11
10
00
10
10
10
00
11
10
01
10
01
00
01
10
01
00
10
00
01
10
11
11
01
10
11
00
00
11
11
10
00
11
00
10
00
01
10
10
10
11
10
10
10
00
00
00
01
10
01
10
01
01
10
00
00
11
00
01
10
11
00
11
10
00
00
11
00
10
00
00
10
10
11
00
01
01
00
11
00
00
00
10
11
11
10
01
00
00
11
01
11
11
00
00
10
00
01
10
11
01
00
00
10
11
11
01
00
10
00
00
10
10
10
00
00
10
10
10
10
00
00
11
00
10
00
01
10
00
11
11
00
01
01
01
00
01
10
11
00
11
01
00
10
00
11
10
01
00
10
10
01
10
01
00
10
00
00
11
10
00
00
00
10
10
10
00
00
00
00
10
10
10
10
11
00
10
00
11
00
11
10
11
00
00
01
00
00
10
11
10
10
00
10
11
11
11
00
10
00
00
10
00
10
10
01
00
00
10
10
00
00
00
01
10
00
10
10
01
10
01
00
00
10
10
10
00
10
10
10
11
01
00
01
00
10
11
00
00
10
00
01
00
10
11
00
10
10
10
01
00
11
11
11
10
10
01
10
10
01
00
01
10
00
11
10
01
01
11
11
10
00
11
10
00
11
10
00
00
10
00
00
10
01
00
10
01
10
01
00
10
10
00
00
01
01
11
00
00
01
10
11
10
10
01
01
00
11
10
10
11
10
00
10
00
10
10
00
11
10
11
00
11
10
11
11
00
01
11
10
01
00
01
10
00
01
11
10
00
10
10
00
10
10
01
00
10
00
10
01
01
10
00
00
00
00
00
10
00
10
10
00
00
11
00
10
00
01
11
01
10
10
00
10
00
00
01
10
00
01
00
11
11
10
00
01
10
01
10
00
01
10
01
10
01
00
00
01
10
10
00
00
10
00
01
11
11
01
00
10
10
10
10
10
00
00
11
00
01
10
00
10
11
00
00
10
11
01
10
01
11
00
01
00
11
00
01
10
11
00
00
11
11
10
00
00
11
10
00
10
00
00
10
10
11
11
01
10
11
00
10
10
11
10
11
01
00
10
00
11
00
10
00
00
11
01
10
11
11
01
00
10
10
11
00
10
00
00
01
10
11
01
01
00
01
11
10
00
11
00
10
10
01
10
00
10
00
10
01
01
00
10
10
11
00
10
11
00
10
10
01
10
00
11
10
10
01
10
00
01
00
00
10
00
10
11
00
01
11
10
10
10
01
00
00
10
00
00
11
10
10
11
00
11
00
10
11
00
01
11
00
01
00
10
00
10
11
00
10
00
10
10
00
10
10
00
01
10
00
00
00
11
00
10
00
11
10
10
10
10
11
00
01
11
00
00
00
01
00
11
11
11
01
01
10
10
00
01
01
11
00
11
10
00
11
11
10
00
01
00
00
10
10
10
00
00
00
10
00
11
00
00
00
11
10
10
01
11
00
00
10
10
11
10
11
00
00
01
10
10
00
00
10
01
10
11
10
01
01
10
00
11
01
00
01
01
11
00
00
00
01
11
10
10
01
01
00
00
11
10
00
00
10
00
00
11
10
11
01
11
10
01
00
01
00
11
00
10
11
00
01
10
11
10
10
10
01
00
10
10
01
01
10
11
10
10
10
00
00
00
11
11
11
11
00
10
01
10
00
00
10
10
10
10
11
00
00
00
00
10
10
10
00
00
00
00
01
10
00
01
10
00
11
10
01
00
10
10
10
01
01
01
11
00
00
11
00
00
10
11
00
11
10
00
10
10
00
10
00
00
10
11
10
01
10
11
10
10
11
10
01
00
00
10
10
10
00
10
00
01
10
10
11
10
11
10
00
00
10
00
10
00
10
10
01
11
10
00
11
10
00
11
10
01
10
10
00
01
10
10
11
01
00
11
00
00
10
10
11
00
00
10
10
00
10
00
00
01
10
00
00
01
10
00
10
10
11
10
01
00
11
01
10
01
00
10
11
10
01
01
00
11
10
10
10
10
00
11
01
00
10
00
01
10
11
11
00
10
10
10
10
00
10
00
00
10
10
10
00
10
11
00
10
01
11
11
00
10
00
10
00
00
10
10
10
01
10
00
11
01
00
10
10
01
10
00
00
00
10
10
11
10
10
00
10
10
00
10
01
11
10
00
01
10
00
00
10
01
01
11
10
00
01
00
10
10
00
00
11
11
00
00
01
00
00
01
01
11
01
01
01
01
11
00
00
10
11
00
01
10
10
00
11
11
00
10
10
10
01
11
10
00
10
00
00
11
10
11
11
10
01
01
00
01
11
10
11
11
00
00
10
10
00
10
11
00
00
11
10
11
00
11
10
00
11
00
10
10
10
00
00
00
00
10
10
10
00
00
10
10
10
10
10
00
01
00
01
11
01
00
01
10
01
00
00
10
10
00
10
01
00
10
11
10
00
00
10
10
00
00
00
10
00
01
10
00
11
10
11
00
00
00
00
10
11
00
00
10
00
00
00
00
01
10
11
10
11
00
10
00
10
00
00
11
11
10
01
10
01
01
10
00
00
11
11
10
00
10
01
00
10
00
10
11
10
00
11
11
10
01
01
10
11
10
00
01
11
11
01
00
10
11
00
01
00
10
10
01
10
00
10
11
11
01
10
00
00
00
00
00
11
00
01
00
10
10
00
00
10
10
00
00
01
11
01
01
10
00
00
00
11
10
00
00
00
00
10
01
10
11
00
10
10
10
00
00
00
10
11
01
01
00
00
01
11
11
00
11
10
10
00
10
10
00
01
00
10
10
10
00
10
01
01
00
10
00
10
00
00
11
11
10
00
10
11
11
10
00
00
01
10
10
10
10
10
01
10
01
11
10
10
00
00
00
10
00
00
11
11
00
11
00
01
00
00
10
00
10
11
00
00
00
10
01
10
11
00
00
00
00
11
10
10
01
11
11
01
10
10
11
00
01
01
00
00
10
11
11
01
01
11
11
00
00
11
10
10
00
10
10
10
01
01
01
00
00
01
01
00
10
10
00
10
00
00
11
10
11
10
00
00
01
01
00
11
00
01
11
11
00
10
01
01
10
10
10
01
01
10
00
00
11
00
10
10
11
11
00
01
10
00
00
10
10
10
11
00
01
11
11
11
10
10
01
11
10
01
01
10
10
11
11
01
00
10
01
11
01
10
11
01
00
10
00
00
11
00
01
10
01
11
01
00
01
01
10
10
00
11
00
10
10
01
01
01
10
10
11
01
00
10
01
00
00
00
10
00
00
00
10
10
00
11
10
11
00
01
00
01
10
01
10
10
00
00
00
11
01
11
01
10
10
10
01
00
10
10
00
01
00
00
00
01
01
10
10
10
00
10
10
01
01
11
10
11
10
00
00
00
11
00
00
10
10
01
00
10
00
10
10
00
10
10
00
00
10
00
00
11
10
01
01
11
10
01
00
10
01
10
10
01
00
11
11
01
11
01
00
00
10
10
10
10
00
01
11
00
00
10
11
10
00
10
00
00
10
00
00
10
10
00
00
00
00
10
00
01
00
11
01
00
01
11
10
00
00
10
10
10
00
01
00
10
10
11
10
11
00
01
11
11
01
00
10
11
00
10
00
01
00
10
11
10
00
00
10
00
00
11
00
10
11
10
10
00
10
11
00
00
00
10
11
00
01
00
11
00
10
01
01
10
10
10
01
10
11
10
00
00
00
00
00
01
11
11
10
10
01
11
00
01
10
01
11
10
01
11
10
01
00
10
01
00
01
11
10
01
00
11
11
00
01
00
10
11
00
11
10
01
00
01
11
01
11
10
10
11
10
00
10
10
11
10
10
00
01
00
01
10
10
01
10
00
01
00
00
10
10
00
00
00
10
11
00
00
00
10
00
00
01
10
10
11
10
00
01
11
00
10
11
01
00
10
10
01
11
00
01
10
10
10
10
00
01
10
10
01
00
01
00
01
10
10
01
01
10
10
01
01
11
11
00
00
10
00
01
00
10
11
01
00
00
00
10
10
10
10
00
00
10
00
10
00
10
10
00
10
10
10
00
00
00
10
00
11
10
10
01
00
00
00
00
10
10
00
01
11
10
01
10
11
10
00
00
11
10
10
10
00
10
01
00
10
00
11
01
01
10
11
10
11
00
01
00
10
01
00
00
10
11
00
10
01
00
10
00
10
10
11
10
11
11
11
00
10
01
00
10
10
00
00
10
00
00
11
10
00
00
10
01
01
11
10
00
01
10
01
11
10
11
00
00
01
01
11
01
00
11
11
00
01
01
10
10
00
10
10
00
01
00
10
00
10
10
10
11
10
00
10
10
01
10
10
10
10
00
00
01
10
11
00
00
10
10
01
01
00
01
00
10
11
10
00
00
00
11
00
00
11
10
00
10
10
00
11
11
01
01
00
10
00
11
00
10
10
00
01
11
00
00
10
10
00
11
11
00
00
11
11
01
00
00
00
10
00
00
10
11
00
00
01
10
10
10
00
10
01
11
10
01
01
10
00
10
11
01
11
01
10
10
00
11
10
10
00
11
10
01
00
01
10
10
10
11
10
00
11
10
00
00
11
00
00
00
00
00
10
10
10
10
00
00
11
01
00
10
10
10
00
00
10
11
11
00
00
00
11
01
01
11
01
01
10
10
00
00
11
11
01
00
01
00
00
00
10
11
10
00
01
10
11
01
10
00
00
00
10
10
01
01
10
10
01
10
00
01
10
11
10
11
10
11
10
10
01
00
10
01
00
11
00
00
00
00
11
10
01
00
11
11
10
00
10
10
01
01
00
10
10
10
10
10
00
01
10
11
00
10
01
00
11
00
00
11
10
00
00
00
10
10
10
00
00
01
01
01
10
10
01
11
10
10
11
00
00
00
10
10
01
00
00
10
01
11
11
10
00
01
00
00
10
00
10
11
01
00
11
00
11
01
10
01
00
11
10
01
00
11
00
00
10
10
10
00
00
10
00
10
11
01
01
10
00
00
10
01
00
00
10
10
11
11
00
10
10
01
00
00
00
11
00
10
01
11
10
01
10
00
01
10
11
11
10
10
01
10
00
00
10
01
00
00
10
01
01
00
01
00
11
00
10
10
00
00
00
10
10
01
00
10
11
10
10
00
00
10
00
00
11
11
10
01
10
00
11
10
00
00
10
00
11
00
11
00
00
10
00
10
00
00
00
01
00
01
10
11
00
00
11
11
00
00
01
10
01
00
10
11
10
01
01
11
00
01
01
11
01
01
10
10
01
00
00
11
10
00
00
11
10
10
10
00
10
10
00
11
10
01
11
10
11
10
11
10
00
00
11
11
00
00
00
00
10
01
11
10
00
00
11
01
01
11
10
00
00
11
10
00
00
11
01
11
01
00
10
00
11
00
10
10
01
11
00
11
00
00
11
00
10
01
00
10
10
01
01
01
11
00
01
10
11
10
00
00
10
10
00
10
11
10
00
11
01
10
01
10
10
10
01
00
11
11
01
01
01
10
10
11
00
11
10
01
10
11
01
11
10
00
10
10
01
00
11
10
00
01
01
10
01
10
10
00
00
10
11
00
00
11
10
01
11
00
10
01
00
00
00
10
00
10
01
10
00
00
10
00
00
00
10
01
00
11
10
10
11
11
10
01
11
10
00
01
00
00
01
00
01
10
10
00
10
10
11
01
00
00
11
11
10
11
10
00
00
10
10
00
00
10
00
00
10
10
00
00
01
10
01
00
01
10
01
01
10
00
10
11
10
00
00
00
11
11
01
00
01
11
00
11
11
00
10
00
00
00
00
10
11
10
11
00
10
10
00
10
10
00
00
01
10
00
10
00
10
11
00
10
11
10
11
11
00
01
00
00
01
10
11
10
01
00
10
01
00
10
10
01
00
10
00
11
10
10
10
11
10
10
10
01
11
10
10
00
11
01
11
10
11
11
00
11
00
00
01
10
10
00
10
11
01
10
10
01
00
01
00
01
10
10
10
01
01
11
01
01
01
00
00
10
00
00
11
10
01
00
10
00
00
11
11
11
00
10
10
11
00
01
10
10
01
10
10
11
01
10
01
00
00
10
11
00
10
10
01
01
11
10
00
10
10
10
00
01
10
10
00
01
00
01
01
10
01
00
01
10
00
00
01
11
10
10
00
10
10
00
00
11
10
10
10
00
11
11
01
01
00
10
11
00
00
01
10
11
00
00
11
00
10
11
11
00
10
11
11
11
00
00
01
00
10
01
00
10
01
00
10
01
10
10
10
00
00
00
11
01
11
00
00
00
10
00
00
10
10
00
00
00
11
10
00
11
01
11
00
11
00
00
10
10
10
00
01
10
00
00
10
10
10
01
10
01
00
10
00
10
00
00
11
00
00
10
00
00
00
10
10
11
00
00
00
01
10
00
10
11
00
00
11
10
01
10
00
00
01
11
11
10
01
00
01
11
11
11
01
10
00
00
01
10
10
01
00
10
11
01
11
10
10
11
10
01
10
01
00
00
01
01
10
10
11
00
00
00
10
11
00
10
11
01
10
10
00
00
10
01
00
11
00
10
00
10
10
00
00
10
10
01
10
10
00
10
10
00
00
10
10
00
11
00
10
00
10
10
10
10
10
10
00
00
11
10
11
10
00
00
00
10
11
00
00
00
01
10
10
11
11
10
00
10
00
11
01
00
11
00
01
01
11
10
00
11
10
10
10
01
01
10
01
00
11
01
10
10
01
10
10
10
00
00
10
10
00
10
10
11
00
00
10
10
11
00
11
01
11
00
00
00
01
11
10
01
10
00
10
01
01
01
10
10
00
00
10
00
11
11
11
10
10
10
00
00
10
11
01
00
10
01
00
10
00
11
10
00
10
10
00
00
00
00
00
10
10
00
11
10
10
11
00
11
11
10
00
00
10
01
00
10
10
00
01
11
10
10
11
01
10
01
11
00
00
01
11
10
00
00
10
11
10
01
00
10
00
00
11
10
01
01
00
11
01
00
11
11
00
11
00
00
10
00
10
10
10
00
11
00
11
11
10
00
10
11
10
01
00
10
10
10
00
01
00
01
01
10
10
10
00
01
00
10
10
01
00
00
00
00
00
00
00
10
10
10
01
00
10
10
10
00
11
10
00
10
10
00
00
10
11
00
00
00
10
01
00
11
11
10
11
01
01
00
00
10
00
10
10
00
11
10
11
00
00
11
11
11
00
01
10
00
00
01
00
10
01
01
00
10
10
01
00
01
01
10
00
10
11
11
01
00
10
00
01
00
10
01
10
00
00
10
11
11
10
00
00
10
00
01
11
10
11
00
00
00
11
10
10
00
00
11
01
11
00
01
10
00
10
10
00
00
11
10
00
01
10
01
00
01
01
10
00
11
10
00
10
01
10
11
00
11
10
00
00
10
11
00
00
11
00
10
10
01
01
00
10
00
11
10
11
00
11
10
11
10
01
10
00
10
10
00
11
10
01
00
11
01
10
10
01
00
10
10
00
10
00
00
00
00
00
00
00
00
00
01
10
10
01
10
01
00
10
11
00
11
11
10
00
00
10
00
10
10
11
11
00
00
11
01
10
01
00
00
01
10
10
10
11
01
00
00
10
10
11
00
00
00
10
10
00
00
00
00
10
01
10
11
11
00
11
11
10
10
11
00
00
10
10
10
10
11
00
01
11
00
01
00
11
10
10
00
00
00
10
11
00
01
00
10
11
00
10
00
00
10
11
00
01
10
10
10
10
11
10
00
01
00
01
10
01
01
11
00
10
00
01
00
10
10
00
00
11
11
10
10
00
00
11
00
10
00
10
11
10
10
00
10
10
01
00
10
00
11
00
01
00
10
10
00
11
01
10
11
10
11
00
01
01
10
00
00
01
11
01
00
10
10
10
00
11
11
01
11
00
00
00
10
11
10
10
00
10
00
01
10
01
00
00
11
00
11
11
10
01
10
00
00
01
11
10
00
01
10
11
00
00
10
00
00
00
01
10
11
10
00
00
01
01
00
11
10
01
10
11
01
00
10
10
10
10
00
00
10
11
10
00
00
11
10
00
11
01
11
11
11
10
10
10
01
11
10
01
00
10
10
11
00
00
11
10
11
11
00
11
11
00
00
00
10
10
00
00
10
10
10
00
01
10
01
10
00
00
10
01
10
00
00
10
10
11
10
10
10
01
00
10
00
00
00
00
00
00
00
01
11
00
01
10
10
10
01
10
10
11
00
11
10
00
00
11
01
00
01
00
11
00
00
10
00
10
10
10
00
00
10
01
11
00
00
00
01
10
10
01
01
10
10
10
10
00
10
01
11
00
01
11
10
00
10
00
01
11
11
11
10
10
10
10
00
00
11
10
00
01
10
10
00
10
10
10
00
01
00
10
10
10
00
00
00
11
00
01
00
01
01
11
11
01
00
10
00
00
10
10
10
01
10
11
00
00
00
01
10
00
01
10
00
10
00
01
11
00
11
00
10
00
11
00
11
10
11
10
01
11
01
01
10
11
10
11
11
00
00
10
10
01
11
01
00
10
10
01
00
10
10
01
00
00
11
10
10
11
00
00
10
10
01
00
10
10
10
00
00
10
10
11
01
00
10
10
00
01
01
10
01
10
10
10
01
00
10
00
10
01
01
01
10
10
01
00
01
00
00
10
11
00
11
10
01
00
10
11
01
00
10
10
00
10
00
10
10
10
00
10
00
00
10
10
00
10
01
10
01
10
00
00
00
11
10
10
00
10
10
00
00
00
00
11
00
01
10
01
11
10
10
10
11
00
11
10
01
01
00
11
00
10
00
11
10
01
11
10
10
00
00
10
10
00
00
10
00
11
11
00
11
00
00
01
00
01
10
11
00
10
00
11
11
01
10
10
10
00
00
10
10
01
00
11
00
00
10
10
00
11
10
01
00
11
10
10
00
10
00
00
00
00
10
10
01
01
10
10
00
01
00
11
00
00
11
00
00
01
11
11
00
10
00
01
10
00
11
10
10
00
00
00
10
00
10
01
00
10
11
00
11
10
10
10
01
00
00
10
10
10
00
00
10
00
00
10
11
10
00
00
10
00
01
11
00
10
11
01
01
01
00
01
11
11
10
00
10
01
10
10
00
00
10
10
00
00
00
00
11
10
01
00
10
10
11
00
00
00
00
00
00
01
10
01
11
01
10
11
00
10
00
10
10
01
10
10
10
00
00
01
00
11
10
00
00
11
01
11
10
01
00
00
00
01
10
10
01
10
01
01
00
01
10
01
10
10
00
10
10
10
10
00
00
11
01
00
11
00
10
01
10
10
01
01
11
10
10
10
00
10
01
00
11
01
00
01
01
10
11
10
10
00
00
00
10
10
01
01
10
10
00
01
00
11
11
10
01
11
11
00
00
01
01
10
00
11
11
10
10
01
11
00
11
10
01
10
00
11
10
10
01
00
00
10
01
00
01
11
11
10
00
00
10
01
00
00
10
10
10
10
00
01
11
01
10
00
11
10
01
10
01
00
01
11
01
10
10
10
11
00
00
01
10
11
11
01
10
11
10
00
01
10
11
01
00
11
11
00
00
00
10
10
01
00
11
11
10
00
00
01
00
11
11
11
10
01
01
11
01
01
01
10
01
00
01
00
00
10
11
11
01
00
11
10
11
10
00
00
10
11
00
00
11
01
11
10
10
10
00
00
00
01
11
10
10
10
11
00
10
11
00
10
01
01
01
01
10
11
10
00
10
11
00
10
00
00
10
10
11
01
00
10
00
01
11
10
00
11
11
11
00
00
11
00
11
11
00
00
01
11
10
00
00
10
00
10
10
01
10
10
00
00
00
01
00
10
10
01
00
10
11
10
00
10
00
00
00
10
10
11
00
00
10
01
00
11
00
11
11
00
00
10
01
10
10
01
01
11
10
10
01
00
00
10
10
00
00
11
10
00
01
11
00
00
00
10
00
10
10
00
00
11
10
10
01
11
10
00
10
11
00
00
10
11
00
00
01
01
11
11
01
00
11
11
00
01
10
10
11
00
10
10
10
00
00
10
11
10
00
00
11
10
00
10
00
10
10
00
10
10
00
00
00
01
00
11
11
10
00
10
11
11
00
00
10
11
10
11
01
01
10
11
00
00
11
11
00
10
10
01
00
11
00
10
10
00
11
10
01
00
00
00
00
11
00
11
10
11
11
10
01
10
00
00
00
01
11
11
00
10
10
00
10
01
10
10
00
11
01
10
11
01
01
00
11
00
00
10
10
01
10
10
00
10
10
00
00
00
00
10
10
10
00
11
11
10
10
10
11
00
10
10
11
01
10
00
01
00
10
01
01
10
11
00
10
00
00
10
10
10
01
10
10
01
10
10
10
10
10
10
00
10
00
11
00
11
11
10
00
10
11
01
10
01
00
01
01
10
10
10
11
00
00
11
00
00
00
11
00
11
11
10
11
10
11
00
01
10
10
11
00
10
00
10
00
00
10
10
00
00
00
10
11
00
10
01
11
01
10
10
11
00
00
10
01
00
10
10
10
01
10
01
00
11
10
00
10
11
00
01
00
10
00
10
00
10
11
01
00
00
01
00
00
00
10
10
01
01
01
10
00
00
10
10
00
01
10
00
11
00
00
00
10
10
00
11
00
10
10
01
10
00
00
11
10
10
10
01
10
01
11
00
10
01
00
00
11
10
10
10
11
01
01
10
11
00
00
10
10
10
00
00
11
00
10
11
11
01
11
00
00
10
10
01
01
10
11
10
10
01
01
11
11
00
00
00
00
11
00
00
10
11
10
00
11
10
01
00
10
10
00
00
10
00
00
11
10
01
10
01
00
10
01
10
01
01
00
00
10
01
11
11
00
01
00
00
10
10
10
00
01
10
00
00
11
10
00
00
11
01
01
10
11
10
11
11
01
10
11
10
00
01
01
00
10
00
00
10
00
00
10
11
10
01
00
00
10
00
10
00
11
11
00
11
00
11
10
00
11
10
00
00
01
11
00
00
01
11
00
00
10
10
10
11
01
00
10
10
00
00
11
10
10
10
10
10
00
00
00
10
10
00
10
00
01
00
00
00
10
01
10
00
01
00
10
10
00
10
10
10
10
01
00
10
00
00
11
11
11
01
10
11
10
11
00
10
11
01
01
11
10
00
01
00
11
00
00
11
10
11
11
10
00
01
11
11
10
00
00
10
01
11
00
01
10
01
10
00
00
10
10
11
10
00
00
10
10
10
00
00
01
10
00
10
10
11
10
00
11
10
00
00
11
00
10
10
00
00
10
10
01
01
11
10
10
10
01
00
10
10
01
00
10
11
10
11
00
00
00
01
00
10
10
00
00
00
10
10
10
00
10
00
11
10
00
01
01
00
00
11
10
00
11
10
01
00
00
00
00
10
10
10
00
01
00
11
11
00
10
11
10
00
11
00
11
10
01
10
00
10
10
11
00
10
10
10
01
00
00
10
10
00
00
01
10
00
00
01
11
11
10
10
00
01
01
11
01
00
00
10
00
11
01
00
00
11
11
11
10
00
00
01
00
01
10
10
10
11
10
00
10
10
00
10
00
00
01
11
01
10
00
10
10
11
00
01
10
00
10
10
00
01
11
10
01
00
10
10
01
10
10
10
00
00
10
00
10
01
01
00
11
00
10
11
00
10
01
11
11
00
00
01
10
10
00
10
11
10
01
00
01
00
00
11
10
11
01
01
11
00
11
00
00
00
00
11
11
10
01
00
10
00
00
11
11
11
00
10
10
00
00
10
11
00
10
00
10
10
10
00
10
00
00
11
01
10
00
00
00
01
10
11
10
00
01
00
10
11
11
00
00
01
00
11
00
01
10
11
10
00
01
10
00
01
01
11
00
01
01
10
11
00
01
10
11
01
10
00
01
11
10
10
01
00
00
10
10
00
10
00
10
01
10
11
11
10
11
00
11
00
11
10
01
00
10
10
01
10
11
10
11
00
00
00
10
01
10
00
00
10
00
11
00
10
01
10
10
11
10
01
00
01
01
10
11
00
10
11
00
00
01
11
00
00
10
10
10
11
01
00
00
10
10
10
00
11
10
00
00
01
00
00
00
10
10
10
00
00
00
00
00
00
00
10
10
10
11
10
00
10
11
10
10
00
10
10
10
00
01
00
00
10
11
10
10
01
00
11
11
11
01
10
10
01
00
10
10
00
01
01
10
10
00
10
11
11
10
01
11
01
11
11
01
10
11
00
10
10
00
00
11
10
00
10
11
00
00
11
00
11
00
01
10
10
00
00
01
10
00
11
00
11
11
10
00
10
10
00
00
11
00
10
00
01
00
11
11
11
10
10
10
10
01
00
00
01
11
01
11
01
00
11
10
10
00
11
10
10
10
00
01
10
10
01
10
01
00
01
11
10
00
00
10
11
01
00
10
11
10
00
10
01
00
11
10
00
00
11
11
00
00
10
10
00
10
00
01
10
01
00
01
10
10
10
00
11
10
01
00
01
00
10
10
11
11
00
11
00
01
01
10
11
10
10
00
10
10
01
00
11
00
00
10
10
00
00
10
10
01
01
11
00
10
00
01
10
10
01
00
10
00
00
11
11
00
01
00
00
10
00
11
10
10
01
01
11
00
10
00
10
00
00
11
10
00
10
10
10
00
10
00
11
10
01
00
11
10
00
10
00
00
10
01
01
01
11
11
00
00
00
00
10
10
00
01
11
10
10
10
10
01
01
11
00
01
10
11
00
10
11
00
10
00
00
10
00
11
00
00
10
00
00
10
11
00
10
01
11
00
10
00
00
00
10
10
10
10
00
10
01
10
10
10
00
01
10
01
01
10
00
11
00
11
11
00
11
00
10
11
01
01
11
01
01
11
10
00
00
11
01
11
10
10
11
00
00
10
01
00
00
10
10
11
11
10
00
11
11
00
10
10
01
00
01
01
10
01
10
11
00
10
10
00
00
10
11
00
01
00
11
01
10
00
00
11
10
10
00
10
01
01
00
00
00
10
10
00
11
00
10
10
10
10
01
00
01
00
00
10
10
11
10
11
00
10
10
00
11
00
01
10
00
00
10
00
10
10
11
00
01
11
00
10
11
00
00
00
00
01
10
00
10
01
11
11
01
00
10
10
10
00
00
10
10
01
00
00
00
10
11
00
00
11
01
10
00
10
10
01
00
00
11
00
10
10
01
10
00
11
10
00
01
10
00
00
11
11
00
01
11
00
00
00
11
00
11
11
00
00
00
01
10
11
00
00
00
00
00
10
11
01
00
11
10
00
00
00
10
10
00
00
00
10
11
00
00
01
10
10
00
11
10
00
10
10
10
10
01
01
10
11
00
00
00
10
10
10
00
00
01
01
00
00
00
01
01
00
10
10
01
01
11
00
00
00
11
00
01
00
10
10
00
11
10
00
00
10
10
10
00
00
10
00
00
11
11
11
11
00
00
11
10
01
10
01
10
00
00
11
01
00
10
10
10
00
10
01
00
00
01
01
11
01
01
10
10
01
00
10
10
00
00
10
11
10
00
11
10
01
00
10
10
00
10
10
00
01
00
00
11
11
10
00
10
11
10
00
00
01
10
11
11
00
10
10
00
10
01
00
11
00
00
00
01
01
10
10
01
10
00
00
00
00
01
10
01
10
10
10
00
11
01
11
11
00
00
10
11
10
00
00
10
10
10
00
01
00
00
10
01
11
00
11
11
10
00
10
10
00
10
11
00
10
00
11
10
00
00
10
00
01
10
00
00
10
10
00
01
10
00
11
00
01
00
10
00
00
10
10
10
01
10
00
01
10
10
00
10
11
00
00
10
10
00
10
01
01
11
11
10
00
11
10
01
10
10
10
00
00
10
00
01
01
01
10
10
00
00
10
10
10
00
10
11
10
00
10
00
11
01
10
00
00
10
00
01
00
10
00
01
11
11
00
11
10
10
10
10
00
00
00
11
10
00
10
00
11
01
10
10
01
00
11
00
11
00
00
10
11
00
00
01
11
10
00
01
00
00
10
10
10
00
00
00
01
11
00
11
01
10
10
00
10
10
00
01
00
01
00
01
11
01
01
11
11
10
10
00
10
10
01
00
01
11
00
10
10
00
11
10
00
11
10
01
11
01
01
01
10
01
10
10
00
00
10
10
00
01
01
11
10
00
11
00
11
01
10
11
00
00
10
10
00
01
00
11
10
00
10
11
00
01
10
11
00
11
10
00
10
10
10
01
00
00
11
10
00
01
10
11
00
00
00
10
00
10
00
00
10
10
10
11
00
00
10
00
10
10
01
00
10
10
00
00
10
00
00
00
01
00
10
10
00
10
00
00
10
10
00
01
11
00
00
11
10
10
00
01
10
10
00
00
11
10
00
11
00
01
10
00
10
01
01
00
10
11
10
11
10
01
11
11
11
00
01
00
10
10
10
01
00
01
10
01
00
11
01
10
10
01
10
10
00
00
10
01
00
01
01
10
10
00
00
10
10
00
01
00
01
10
11
11
01
10
00
11
10
11
10
00
01
10
00
10
10
01
10
11
01
10
01
10
10
10
01
00
10
10
01
10
11
00
01
01
10
11
10
01
00
01
10
11
00
00
01
00
10
00
10
10
11
00
11
01
10
10
00
00
10
11
00
01
00
10
10
00
10
00
10
11
01
00
11
11
11
00
10
10
00
00
01
00
10
01
10
01
00
11
00
10
11
10
10
00
10
10
00
00
10
10
00
10
00
00
00
10
10
00
10
10
00
00
00
11
00
01
10
01
10
00
01
11
10
00
00
11
01
00
00
00
10
00
10
10
10
11
10
00
01
10
10
10
11
11
11
00
11
01
00
10
10
00
00
00
11
10
00
00
10
11
10
10
00
10
11
11
10
00
10
01
10
10
11
01
00
00
10
10
11
10
01
11
10
00
00
10
10
01
00
11
11
01
00
00
01
00
00
00
11
10
10
00
01
10
10
00
10
11
01
10
11
00
11
10
10
11
10
10
00
11
00
00
00
10
00
11
01
00
01
01
00
10
10
11
10
01
00
00
10
10
00
10
11
01
00
11
10
10
11
00
01
10
01
01
10
01
11
00
00
00
01
11
10
00
01
00
11
10
10
10
10
10
00
00
11
10
10
10
01
10
00
00
00
11
10
10
00
11
10
11
00
00
01
10
11
00
10
10
10
00
10
10
00
11
11
00
01
10
10
00
11
10
00
00
11
10
01
00
10
00
00
11
11
00
00
10
00
01
00
10
11
01
00
10
11
00
00
00
11
10
10
10
01
00
01
10
10
11
01
01
11
01
00
00
01
11
10
00
00
11
11
01
11
01
01
11
10
00
10
01
00
10
10
00
10
10
01
00
10
10
00
11
10
11
00
00
10
01
10
10
01
10
11
01
10
00
00
11
01
10
11
01
00
10
01
00
11
10
01
00
11
10
00
00
10
00
00
10
11
00
01
10
11
10
11
00
01
11
11
11
01
01
10
10
10
11
00
00
00
10
10
10
00
10
00
00
10
10
00
00
10
00
00
10
01
11
00
10
10
10
01
10
00
10
11
10
01
00
10
01
00
10
00
10
01
10
01
00
10
10
11
11
10
00
00
00
10
01
01
00
00
00
10
01
10
10
10
00
01
01
10
11
10
10
10
10
00
01
10
10
11
00
00
00
00
11
10
11
11
00
10
01
01
01
10
11
10
10
10
01
00
00
01
10
10
00
11
10
00
10
11
01
10
00
00
00
10
10
00
10
00
00
11
11
01
00
11
10
11
00
00
00
10
00
00
11
10
10
00
10
10
01
00
01
11
00
11
10
01
00
10
10
00
10
11
00
00
10
10
00
00
11
11
00
00
00
00
01
10
00
00
11
10
11
11
00
00
00
00
00
11
10
10
10
01
00
01
11
00
10
10
10
11
00
00
00
11
10
10
10
11
01
11
00
10
11
00
11
11
00
01
00
10
10
10
11
01
10
00
00
01
11
01
01
11
01
10
00
10
01
01
10
11
00
11
00
10
10
10
10
00
10
00
00
11
00
11
10
11
10
00
01
01
01
11
00
00
00
10
00
10
10
01
11
11
11
11
00
10
11
10
01
00
11
10
00
01
00
10
11
00
00
01
10
00
00
10
11
10
10
01
00
10
00
10
10
01
10
10
11
11
00
10
10
01
10
01
00
10
10
11
00
00
10
10
10
00
10
01
00
10
01
11
01
10
00
00
10
11
11
01
11
10
10
01
10
10
00
01
10
10
10
10
10
00
10
01
00
10
10
00
10
00
00
00
00
10
00
10
10
00
10
10
10
00
00
00
00
11
00
10
10
11
10
11
10
00
10
11
11
10
10
00
00
11
10
11
10
00
11
11
10
01
11
00
11
10
00
00
10
10
10
01
00
10
10
01
10
01
00
00
11
10
10
01
01
10
01
00
00
00
10
10
11
01
01
11
01
00
10
11
11
00
10
10
00
01
01
11
11
00
00
00
10
10
00
01
10
00
01
10
00
11
10
10
10
10
00
00
10
10
11
00
01
11
10
01
10
00
01
00
11
00
11
10
00
00
11
00
00
10
10
10
10
00
01
10
10
00
00
10
00
00
11
11
10
11
00
00
01
00
11
10
00
10
10
10
00
00
11
11
10
01
10
01
00
10
01
00
10
10
10
10
10
00
10
00
00
10
11
10
10
00
00
10
00
10
11
00
11
10
00
11
00
00
10
01
00
00
00
00
01
11
01
00
10
00
10
11
00
10
10
10
11
11
00
11
00
11
10
00
00
00
10
10
00
00
10
10
10
01
11
10
00
11
10
01
00
10
11
01
01
10
00
00
00
10
00
01
11
10
00
10
10
11
01
10
00
00
00
01
00
11
10
10
10
11
01
11
10
01
10
10
00
01
10
11
01
10
10
00
10
01
00
10
10
01
00
11
01
00
00
10
01
00
10
10
11
10
10
10
01
01
10
11
00
00
11
10
00
00
11
01
11
10
10
11
10
10
00
10
10
10
00
00
10
10
11
11
11
00
10
01
11
10
01
01
11
10
10
00
00
11
10
10
10
00
00
10
00
01
00
11
00
10
10
10
11
01
01
11
01
01
10
01
10
01
11
10
00
00
00
11
11
11
01
10
00
00
11
11
10
01
01
00
10
11
10
11
10
01
00
00
01
10
01
00
01
10
10
01
00
01
10
10
10
10
01
01
11
11
10
01
00
11
01
00
00
10
11
00
00
10
10
01
00
10
01
00
10
00
00
10
00
01
10
01
01
10
00
11
00
10
00
00
10
00
01
10
00
01
00
01
00
00
10
00
10
11
00
00
00
10
00
00
10
00
10
01
11
10
11
01
11
00
01
00
10
10
00
01
11
10
01
01
10
10
10
01
00
00
10
10
10
11
00
01
10
00
01
00
10
01
00
11
10
01
10
01
00
10
10
01
11
10
10
01
10
10
10
01
00
10
10
00
00
10
10
00
00
00
00
10
00
10
10
00
00
00
10
11
00
11
00
00
10
01
00
01
01
11
00
00
00
00
00
11
10
00
00
11
01
00
01
11
10
00
00
11
10
11
00
01
01
10
10
00
10
10
10
10
11
00
10
11
01
10
11
00
00
10
11
00
10
11
00
10
00
01
10
10
00
10
11
00
11
01
01
10
10
10
10
10
10
00
00
11
00
10
01
00
10
01
00
01
01
10
00
01
00
11
00
01
00
00
10
11
10
00
00
11
10
00
10
00
01
11
01
11
01
00
10
11
00
01
10
10
00
10
10
00
11
10
11
11
00
10
00
11
10
00
01
10
10
01
10
01
00
10
00
11
00
01
00
00
00
10
10
01
10
11
01
10
10
01
10
00
00
10
00
00
10
10
10
10
00
10
10
11
00
00
00
01
10
11
01
00
10
10
01
10
00
01
00
00
11
10
11
10
10
00
11
10
10
00
00
01
10
11
01
10
10
00
00
01
00
01
11
10
11
10
10
01
10
10
01
11
10
10
00
00
10
10
10
10
10
00
00
00
10
11
00
00
10
00
10
00
11
10
01
10
01
10
11
01
11
11
10
10
00
10
10
00
01
10
01
00
00
01
01
11
00
11
10
00
00
10
10
00
11
10
01
10
10
00
01
10
10
00
01
10
10
11
11
11
00
00
00
00
11
00
11
10
00
11
00
00
10
01
00
00
10
11
10
01
00
10
11
00
11
10
10
00
00
00
10
11
00
00
10
00
00
10
00
10
01
10
10
10
10
10
00
10
01
10
10
01
10
11
00
10
11
10
11
10
00
00
10
00
01
00
10
00
11
10
11
10
00
10
01
00
01
01
00
10
10
10
10
00
10
00
01
10
10
10
00
11
00
01
00
00
11
00
00
01
10
11
00
10
00
01
10
01
00
10
00
00
10
01
00
11
01
10
00
01
11
00
10
10
10
00
01
10
01
11
00
11
10
01
01
10
11
10
01
11
10
00
00
00
10
00
01
10
10
00
00
01
01
00
10
00
10
00
00
10
11
10
00
01
10
10
00
01
11
01
00
10
01
10
10
11
01
00
10
10
00
10
11
10
00
01
11
00
10
00
01
00
11
10
00
01
11
00
00
11
11
00
10
10
00
00
00
11
10
10
10
10
10
10
01
00
11
00
00
10
00
10
11
11
01
10
00
00
00
01
10
00
00
10
01
00
00
10
10
11
10
01
00
01
10
11
00
01
10
11
10
01
00
00
10
10
10
00
00
10
10
11
00
10
10
01
10
01
11
10
10
00
00
01
00
10
10
10
11
11
10
01
01
00
11
11
10
10
00
00
00
11
10
00
01
10
00
00
11
10
11
00
11
00
11
10
01
01
01
10
10
10
00
00
11
10
00
00
10
00
00
10
00
10
10
00
00
00
10
10
00
10
10
10
10
00
10
10
01
00
10
10
01
11
11
11
01
01
10
10
10
01
00
00
01
11
00
01
11
00
00
11
10
00
00
11
00
11
10
01
10
00
00
10
10
11
00
01
00
10
11
00
00
11
10
00
11
10
01
00
10
11
11
00
10
10
01
00
11
10
01
11
11
00
00
00
11
10
00
01
10
00
10
00
00
10
11
10
10
10
11
10
01
01
01
00
10
00
10
10
10
01
00
11
10
10
10
11
00
01
00
00
00
00
11
00
10
10
10
10
11
01
00
11
11
10
00
00
01
01
00
11
11
00
00
00
00
00
00
10
11
00
00
11
01
10
00
00
11
00
01
00
11
00
00
10
00
00
10
11
11
10
00
10
10
11
10
11
10
00
10
01
10
10
00
10
00
01
10
01
01
10
01
00
01
00
01
01
11
00
10
00
00
10
10
00
11
11
11
00
11
10
10
00
00
00
00
10
10
00
11
00
10
10
00
11
00
01
10
01
10
00
00
10
11
00
10
10
00
00
00
00
00
01
10
11
00
10
10
00
10
00
11
10
10
00
10
00
00
00
01
11
00
01
10
10
00
11
10
01
00
10
11
00
10
11
10
01
01
00
11
10
10
00
11
00
10
10
11
00
01
01
11
00
11
00
01
10
01
10
11
01
10
00
01
01
00
10
10
10
00
01
01
11
00
00
00
10
10
00
10
10
01
01
01
10
01
01
10
10
00
11
11
10
00
10
11
10
00
11
01
00
11
10
01
01
00
10
10
11
10
01
00
00
10
10
00
00
10
10
10
00
10
10
00
00
11
10
01
00
00
10
10
10
00
00
11
10
10
00
11
00
01
10
01
00
11
01
00
11
01
11
10
00
10
10
11
00
00
10
11
11
00
10
10
00
10
10
01
10
11
01
10
00
10
10
00
00
10
00
01
10
11
00
01
10
11
10
10
11
10
00
00
00
10
11
10
00
01
00
00
10
10
00
10
00
00
10
10
10
10
10
01
01
11
00
00
10
10
10
10
00
00
10
01
10
00
01
00
01
10
00
01
01
00
10
00
00
10
10
10
11
10
00
00
00
00
11
10
10
11
11
10
00
11
00
00
00
00
10
10
00
10
10
00
00
00
00
00
00
10
10
01
10
00
01
11
01
00
11
10
00
00
11
11
00
10
01
10
00
00
11
01
00
11
11
11
00
00
10
10
10
00
10
11
00
01
00
10
11
00
11
10
10
00
00
10
10
01
01
01
10
00
00
10
10
01
10
10
01
00
01
01
11
11
01
00
00
01
11
11
00
00
10
10
10
00
00
10
11
00
11
10
10
01
01
11
00
00
10
01
11
10
11
01
11
00
01
11
10
10
00
11
10
00
01
11
10
01
10
00
00
01
11
01
00
10
01
10
00
11
10
00
00
11
00
11
00
00
11
11
01
00
00
10
10
10
11
10
01
10
10
01
10
00
01
11
10
10
01
00
00
10
01
11
10
10
11
00
00
00
00
00
11
11
10
01
00
01
10
10
10
10
11
01
10
10
10
00
00
00
11
00
00
11
00
00
10
10
00
10
10
11
10
11
01
10
11
10
00
00
10
10
00
11
10
01
00
11
10
11
01
00
00
10
10
10
00
01
10
11
00
10
10
01
10
10
10
01
00
11
10
01
10
01
00
10
10
00
10
01
01
10
00
10
10
00
10
00
00
10
10
01
01
10
10
01
00
10
00
00
10
10
11
01
11
10
01
10
01
10
10
00
01
10
10
00
10
10
00
10
11
10
00
01
10
10
00
01
00
01
00
10
10
00
00
10
00
10
10
01
00
10
10
00
00
10
10
00
10
11
01
00
01
00
11
10
01
10
01
10
11
01
00
10
00
00
10
10
01
01
01
00
00
11
00
11
01
00
10
00
00
10
11
01
10
10
00
01
10
01
00
10
11
11
11
00
01
01
01
01
00
00
10
10
10
10
01
00
01
01
11
10
10
10
00
00
10
11
10
10
01
11
00
10
11
01
10
10
01
11
00
01
10
01
11
01
10
10
01
00
10
11
00
00
10
10
01
00
11
10
01
10
10
00
01
00
10
00
00
10
11
10
01
10
10
11
01
00
11
11
01
00
11
10
00
00
11
10
00
00
10
11
00
11
00
00
11
10
10
00
11
10
10
01
00
00
01
10
11
10
10
01
01
10
01
10
01
00
10
00
10
00
00
10
00
10
10
01
00
01
10
10
00
00
10
00
10
00
00
00
00
01
11
00
01
10
11
10
01
10
11
00
00
10
10
00
01
00
10
01
10
01
00
10
11
10
10
00
00
10
10
00
00
00
00
10
01
00
00
10
10
00
10
00
00
10
10
00
10
11
11
00
00
11
10
00
11
00
10
11
01
10
10
00
11
11
00
00
01
01
00
00
10
11
00
10
01
10
00
01
00
10
10
11
10
01
10
00
10
01
11
00
11
10
11
00
10
10
11
00
00
10
00
10
01
10
01
00
10
11
00
00
10
11
00
11
10
10
00
01
10
00
10
10
10
11
11
01
01
10
00
00
11
10
10
11
01
00
10
11
01
11
00
00
10
10
00
00
11
11
00
11
01
00
11
01
10
00
10
10
00
10
10
00
00
11
01
01
10
00
00
10
10
00
10
00
01
00
00
00
00
10
00
10
10
11
10
10
11
10
11
00
10
00
10
10
11
00
00
10
00
00
10
00
01
00
01
10
00
10
00
10
00
10
10
11
10
11
10
00
01
01
01
10
11
00
10
00
01
10
01
11
11
11
00
10
10
10
01
01
00
11
10
00
10
00
01
00
11
00
00
11
00
00
00
10
10
10
00
11
11
10
11
10
11
01
01
11
10
00
00
11
10
10
01
00
01
10
10
00
10
00
00
10
10
00
00
11
00
00
10
01
10
00
10
10
00
00
00
10
10
11
00
01
10
10
00
00
10
11
00
01
00
11
00
01
00
10
10
00
10
01
11
11
10
01
01
00
11
11
10
10
10
10
00
00
11
11
00
00
10
10
00
00
10
01
00
00
00
10
01
11
00
00
10
10
00
00
01
01
11
11
10
10
00
10
11
00
00
01
00
00
10
11
00
11
10
00
10
11
10
10
10
01
11
00
01
10
10
01
00
01
10
01
00
11
01
10
00
00
10
10
10
00
00
10
10
00
00
00
10
10
01
00
01
00
11
10
00
00
10
00
11
11
10
10
01
00
00
00
11
01
10
11
00
10
10
01
10
11
10
00
10
10
10
11
00
00
11
01
01
11
01
10
01
01
01
00
00
10
00
10
11
01
00
00
10
00
01
00
00
01
10
00
00
01
11
00
00
10
10
01
00
11
10
00
10
10
10
00
00
11
10
10
00
10
10
10
01
01
00
00
00
11
01
11
10
00
01
10
00
11
11
00
01
00
10
00
00
00
10
11
00
00
10
10
10
11
10
00
10
11
11
00
00
10
00
01
01
10
10
00
00
00
11
10
10
10
00
10
00
11
00
01
10
00
00
00
00
00
01
10
11
10
10
01
01
01
10
00
00
01
10
01
01
01
00
10
01
10
10
01
10
10
10
10
00
10
10
00
11
01
01
10
11
10
11
11
00
10
10
00
11
00
10
00
10
11
10
11
00
00
01
00
00
10
01
10
10
00
00
00
00
10
10
00
10
10
10
11
00
11
00
00
11
00
01
00
11
10
11
00
00
00
11
00
10
10
01
01
00
10
00
00
10
11
10
11
00
00
10
10
01
00
01
11
00
00
00
10
10
00
00
11
11
00
11
01
00
00
00
11
00
00
10
11
00
10
01
10
01
00
10
11
00
10
00
10
10
00
01
10
11
00
11
00
10
10
00
00
11
01
00
11
10
00
11
00
00
11
10
00
10
00
10
11
10
11
00
00
00
01
00
01
00
10
11
00
01
11
00
00
10
10
01
01
00
11
10
10
00
00
10
00
10
10
01
00
10
10
00
11
10
11
10
00
00
11
10
10
10
00
00
10
11
00
00
10
11
11
10
10
00
11
10
11
11
00
00
10
10
10
00
00
01
00
10
01
11
11
00
00
00
01
10
11
10
01
01
00
10
01
00
00
00
11
00
00
10
00
00
10
00
11
10
00
00
00
10
11
11
00
11
00
10
10
00
10
01
10
10
10
01
10
01
11
10
00
01
10
10
11
01
00
11
10
00
10
00
10
10
11
01
11
10
01
11
10
00
10
10
00
01
00
00
10
01
11
10
11
11
10
11
10
01
00
00
10
10
11
00
01
10
00
10
00
00
10
00
01
00
11
11
10
01
01
10
11
01
01
00
01
10
10
01
00
10
10
11
10
10
00
10
10
01
00
01
10
10
00
01
10
10
00
00
10
00
00
00
11
10
10
10
11
00
01
11
00
10
10
01
00
00
10
10
11
00
00
10
10
01
00
10
10
00
10
00
10
10
00
00
10
10
00
10
10
00
11
11
10
00
01
00
11
10
00
10
00
11
01
00
11
10
01
00
01
10
00
00
10
11
00
10
10
11
01
00
11
10
00
00
00
00
11
00
10
00
00
00
00
10
11
00
01
01
00
10
01
10
00
00
10
10
11
01
10
11
11
00
01
10
00
10
01
10
10
10
00
00
11
10
11
10
01
10
00
00
01
00
01
10
11
10
01
00
00
11
10
00
01
01
11
01
10
11
00
00
00
11
11
11
10
11
11
00
11
00
01
00
00
11
00
00
10
01
00
00
11
10
00
01
10
10
00
00
01
00
00
01
01
11
10
10
00
11
01
10
00
00
00
10
00
01
10
00
00
10
10
00
00
01
10
10
00
01
10
11
00
10
11
10
00
01
10
10
10
00
10
00
00
11
10
00
10
10
00
01
10
10
10
01
10
10
10
10
11
10
01
10
11
10
00
01
00
10
11
10
10
10
00
00
00
00
10
10
00
00
10
11
01
10
00
00
10
01
01
10
10
01
00
11
00
00
10
01
00
11
00
10
00
00
01
01
00
10
10
00
11
10
10
01
00
00
00
00
10
10
11
00
00
10
00
11
11
00
00
00
00
00
10
10
01
00
00
10
01
11
01
01
10
10
10
01
00
11
10
01
00
10
00
10
11
01
00
11
01
01
10
00
00
01
10
11
01
01
00
10
00
11
00
00
10
10
00
10
11
10
00
10
10
00
10
10
01
11
10
00
00
11
00
10
11
00
10
10
00
00
00
11
10
10
10
00
00
01
01
11
11
10
01
10
10
00
01
10
10
00
00
10
11
00
11
01
10
10
00
11
10
00
10
00
00
01
10
10
10
11
10
00
01
10
11
10
11
10
00
10
11
01
00
00
10
00
00
10
00
00
11
10
11
11
00
11
00
01
10
10
10
11
01
01
01
10
10
00
11
10
00
01
01
11
00
01
11
00
10
10
00
00
10
01
10
11
00
00
10
01
10
10
11
00
01
00
00
10
01
00
11
00
01
10
10
10
11
00
00
10
10
00
10
10
11
10
00
00
00
10
10
11
00
01
10
11
10
00
01
00
11
00
10
10
10
01
00
10
11
00
01
01
00
10
00
10
00
10
10
00
11
10
10
01
00
10
10
10
00
10
10
10
00
00
11
01
10
00
10
00
00
01
00
01
11
01
00
00
00
00
00
11
10
01
10
00
00
00
00
11
00
10
10
00
10
10
00
11
00
01
00
00
00
01
11
00
11
10
00
00
10
00
01
00
11
11
01
01
00
00
10
00
00
11
10
11
11
00
10
00
11
10
00
01
11
00
01
11
00
10
10
10
00
01
10
10
00
10
01
01
11
01
10
00
10
01
10
10
00
00
10
11
10
01
10
10
00
00
01
10
00
01
11
11
10
10
10
01
10
11
01
00
11
11
10
01
11
10
01
01
00
10
10
10
00
00
11
10
11
10
10
00
00
00
01
10
10
11
01
01
10
00
10
00
00
11
10
00
00
11
11
00
00
10
00
10
10
10
11
10
00
00
11
11
10
00
10
01
00
00
00
01
11
00
10
00
10
10
10
01
00
11
10
01
11
10
10
10
11
00
00
11
10
01
00
11
00
10
00
00
11
10
10
01
01
10
10
01
01
10
11
00
01
10
01
00
11
11
00
10
11
11
00
01
00
10
11
00
00
10
11
01
11
10
11
10
00
11
10
10
01
00
01
10
10
00
10
00
00
10
10
11
11
01
00
01
00
10
11
01
01
11
10
00
10
10
11
10
00
10
10
00
01
00
10
10
00
00
10
10
00
10
11
10
00
10
10
10
01
00
11
10
01
10
00
10
10
01
00
00
10
10
00
10
01
00
10
10
11
10
00
10
01
00
00
00
11
10
10
01
10
00
11
10
00
00
00
00
00
11
10
00
01
10
11
00
00
00
11
11
01
10
11
10
00
10
11
01
00
10
11
10
00
11
10
00
01
00
01
00
01
10
00
00
00
10
01
10
10
00
10
00
01
10
10
00
01
10
00
00
10
01
10
10
00
10
11
10
10
10
00
10
01
10
10
01
00
11
10
10
00
10
00
00
01
11
10
10
00
01
10
10
11
11
01
01
11
10
01
01
11
01
10
11
01
10
10
11
01
01
10
11
00
00
00
10
11
10
11
00
01
10
11
10
01
01
00
00
11
00
10
10
00
00
10
10
01
00
10
00
10
00
00
10
10
10
01
11
10
00
10
11
00
00
01
11
00
10
10
00
10
00
00
10
10
01
10
10
11
11
11
01
00
11
11
11
00
00
10
01
00
11
10
00
10
11
01
00
00
00
00
01
00
11
00
00
10
10
10
00
10
10
10
10
00
01
10
11
10
00
10
00
10
00
11
11
00
01
00
10
11
01
11
00
00
10
11
10
00
01
10
01
00
10
11
00
00
00
00
10
10
10
01
01
00
11
01
10
10
00
00
00
10
10
10
01
10
00
00
10
10
01
00
11
10
01
01
01
10
01
00
10
10
00
01
11
00
01
10
10
10
11
10
11
00
01
11
10
10
00
01
10
10
00
11
10
10
00
01
10
10
00
10
01
10
00
10
10
00
01
11
01
00
11
10
10
01
01
00
11
10
10
01
10
11
00
00
10
11
00
10
10
00
10
10
00
01
01
11
01
00
00
11
00
01
10
10
10
00
10
11
00
00
01
00
10
00
00
11
01
01
00
10
10
10
00
00
10
01
00
00
10
10
11
01
00
10
10
00
10
10
11
10
10
10
11
01
01
11
00
11
10
00
00
11
10
10
00
00
10
10
11
00
01
00
11
10
11
00
10
11
00
11
00
00
11
10
10
01
10
10
00
00
10
01
10
11
00
00
00
00
10
10
00
01
10
00
11
10
11
10
10
10
00
01
00
10
10
10
10
11
10
11
00
00
10
10
10
01
10
11
00
10
11
10
11
01
11
10
11
01
01
10
10
00
11
00
10
10
11
00
00
01
00
10
10
10
11
00
10
00
11
01
10
10
00
10
01
00
10
00
00
10
00
10
00
00
10
11
01
00
10
11
01
01
11
01
00
00
01
10
10
01
01
10
00
10
00
10
11
10
01
01
10
10
10
01
00
01
10
11
00
00
00
01
01
10
00
01
01
11
10
01
00
11
10
10
00
01
10
10
00
00
00
01
00
01
10
00
00
11
01
11
00
11
00
00
11
00
00
11
00
01
00
11
11
01
11
00
01
10
10
01
10
00
01
10
10
10
01
10
10
10
00
10
11
10
00
10
10
00
00
01
00
10
11
10
10
10
11
01
00
10
10
10
10
01
00
00
01
10
10
10
10
11
00
11
10
00
01
10
00
00
10
11
11
01
00
00
00
10
11
01
10
11
00
00
11
11
00
11
00
10
01
01
10
00
00
10
10
00
00
11
01
01
00
11
01
10
11
10
00
10
01
10
10
01
00
00
00
00
10
10
11
00
01
10
10
11
10
10
00
00
10
01
11
10
00
01
10
10
00
00
01
01
11
11
11
00
00
01
11
00
01
11
10
10
01
10
00
10
10
00
00
11
00
11
00
00
01
10
11
00
10
00
00
11
00
10
01
10
10
01
10
10
01
11
10
11
00
00
10
00
00
00
00
10
10
10
10
10
10
10
10
11
00
00
00
00
01
11
00
10
01
11
00
00
11
10
00
00
01
10
11
10
00
00
10
00
10
10
01
00
00
00
10
00
10
10
00
11
00
00
00
00
00
00
01
10
10
00
10
00
11
10
00
10
11
00
11
10
00
10
11
01
01
10
10
00
01
10
10
01
01
10
10
01
00
11
00
11
11
01
01
00
10
11
00
00
01
11
10
10
10
01
10
01
00
10
00
00
10
10
10
11
10
01
01
11
00
00
11
11
00
00
10
10
00
11
00
00
01
10
11
11
10
01
01
10
10
00
10
10
01
01
10
00
01
01
10
01
01
10
01
01
01
01
10
11
10
10
00
00
10
11
01
01
10
10
00
00
00
11
00
01
10
00
10
00
10
01
10
10
10
11
01
10
10
00
00
10
00
11
10
10
00
00
00
10
10
01
10
10
10
00
01
01
00
10
10
11
00
11
00
10
01
00
10
00
11
10
00
00
00
10
10
10
11
00
01
11
10
10
10
11
10
01
00
00
00
00
10
10
00
00
00
10
00
00
10
11
11
10
10
00
01
01
10
01
00
01
10
10
00
10
10
00
01
10
10
10
00
00
11
01
11
00
01
10
01
00
00
00
10
11
01
10
10
10
00
10
00
01
00
10
10
00
11
10
10
01
10
00
00
10
01
00
01
10
11
00
00
10
11
00
00
11
00
11
10
01
11
10
00
10
01
00
00
01
10
00
10
10
00
00
01
11
10
00
01
10
00
10
01
00
10
00
00
10
10
11
10
10
10
00
00
01
11
00
00
10
10
00
10
10
01
01
10
01
01
00
00
10
11
01
00
10
11
01
11
10
01
00
00
00
11
00
00
11
10
00
01
10
10
01
10
00
01
10
00
01
11
01
01
10
10
10
01
01
10
10
00
01
00
11
00
01
00
00
10
10
00
00
01
10
01
00
11
10
00
00
00
10
11
00
10
00
00
00
11
10
00
00
10
00
00
01
01
10
10
01
10
00
10
00
01
00
10
01
00
00
11
10
01
10
01
10
01
01
01
00
10
10
00
11
10
00
11
11
00
10
10
10
00
10
11
01
01
10
10
10
00
10
00
01
11
01
01
10
11
11
10
01
00
11
11
01
00
00
10
10
01
00
00
10
00
11
10
01
00
01
10
00
10
01
01
11
01
00
01
00
10
10
00
11
00
01
10
01
11
10
11
01
00
01
01
01
00
01
11
00
01
10
10
11
00
01
10
11
01
00
10
11
11
01
10
01
00
10
10
10
11
01
10
10
11
10
10
10
00
01
00
11
11
00
00
11
01
10
10
00
00
10
01
10
10
10
00
00
11
10
00
10
00
10
01
10
10
00
00
00
00
10
01
01
00
10
10
10
10
10
01
01
01
01
01
10
11
00
00
10
11
00
00
01
10
00
00
00
00
11
11
01
00
10
10
01
00
10
11
00
01
01
00
00
01
00
10
01
11
10
01
00
11
10
10
01
11
01
01
00
11
10
00
01
10
00
10
10
10
10
01
00
10
10
00
10
11
11
10
10
10
00
00
00
10
10
11
10
11
11
00
10
00
01
00
01
10
00
11
10
00
00
01
10
01
00
10
00
00
01
00
11
10
10
01
01
00
00
10
10
11
00
01
10
11
11
00
11
01
00
11
00
00
11
10
00
00
11
10
10
01
10
10
10
01
01
00
10
10
00
00
00
10
00
10
00
10
00
00
11
00
00
00
00
10
10
10
00
10
00
01
10
11
10
11
00
00
10
00
10
01
10
11
10
11
01
01
01
01
01
10
01
00
11
01
00
10
10
00
01
10
11
10
11
01
01
11
10
00
00
10
10
10
00
00
10
01
01
10
01
10
00
11
00
00
10
11
00
11
00
10
00
10
00
00
01
10
00
10
11
01
10
10
00
11
00
00
10
00
10
10
10
10
00
01
11
00
01
11
10
11
00
00
00
01
11
11
10
01
10
10
00
10
00
01
00
01
01
10
01
10
10
00
10
10
10
01
00
00
00
10
10
10
00
10
11
00
01
00
00
11
10
10
01
10
11
10
10
10
00
10
00
00
11
01
11
11
01
11
00
00
00
10
10
01
00
10
01
10
11
11
10
00
00
00
11
01
10
10
00
01
01
11
10
11
10
00
10
11
01
00
00
11
11
00
00
11
00
10
11
00
00
11
11
10
10
00
10
10
10
01
00
00
00
00
11
00
00
10
11
10
00
00
00
11
10
00
00
10
00
10
00
00
10
11
00
00
01
11
11
10
10
00
01
10
11
01
00
11
11
00
11
01
00
10
10
01
01
10
01
00
00
10
11
00
00
00
11
10
00
01
11
00
00
10
10
00
01
10
01
01
11
11
10
00
10
00
01
10
10
00
00
11
00
11
00
00
00
00
00
11
11
10
10
00
01
10
11
00
11
01
10
01
00
10
10
00
01
10
11
00
10
01
01
00
10
11
00
11
10
11
00
11
10
10
00
00
01
10
10
00
10
00
00
01
00
10
00
00
00
01
10
11
10
10
10
11
10
01
01
11
10
00
01
10
10
00
00
11
10
01
00
00
11
00
10
10
11
10
01
01
00
00
01
01
11
11
01
10
10
00
00
10
10
01
00
10
10
11
00
10
00
10
00
01
00
00
10
01
00
10
00
01
10
00
10
10
10
11
00
10
10
00
10
10
10
00
01
10
00
01
10
10
00
10
10
10
00
00
00
00
10
01
11
11
01
10
01
10
00
10
10
11
10
00
00
01
00
00
00
10
00
01
00
10
11
10
11
00
00
10
11
11
00
11
11
00
00
00
11
00
00
11
10
01
11
00
01
11
10
00
00
10
00
11
11
01
11
01
11
11
10
11
10
00
01
11
10
00
10
10
00
00
10
10
10
00
00
00
00
10
10
10
00
10
00
10
00
10
00
10
00
01
00
00
10
00
10
01
00
01
01
11
10
01
10
00
01
00
00
10
00
00
10
10
10
10
11
01
01
11
01
00
11
01
00
11
11
00
10
11
00
00
10
10
00
10
10
00
00
11
11
11
10
00
10
10
00
00
11
00
01
11
11
01
01
11
10
00
01
01
10
10
00
10
00
10
10
00
10
00
10
00
10
00
00
00
11
00
00
11
00
10
00
10
10
10
11
00
00
10
10
11
10
00
00
10
11
10
00
10
11
01
00
10
00
00
10
00
10
10
10
11
00
01
11
10
10
01
00
00
01
10
10
11
00
00
00
00
00
00
00
10
00
10
11
00
11
00
10
01
11
00
01
00
10
10
00
00
00
00
11
10
01
10
10
10
01
10
01
01
11
01
00
00
00
11
10
10
00
00
11
11
10
01
10
10
00
10
11
01
11
11
00
00
00
11
11
10
00
01
11
01
10
11
10
01
11
01
10
10
00
01
00
11
10
00
00
01
01
10
00
01
00
01
10
10
10
10
00
01
00
00
00
11
00
00
11
10
10
00
00
00
11
10
00
00
00
10
10
00
00
00
10
00
10
00
10
00
00
10
10
11
00
00
10
11
10
00
01
10
00
00
01
00
00
00
10
00
01
11
10
00
00
00
11
01
00
10
11
01
00
11
10
01
01
00
01
11
10
00
00
10
00
00
10
10
00
01
11
00
10
01
10
11
11
00
00
11
00
10
10
11
01
01
00
00
00
01
10
11
11
01
10
10
10
01
01
01
11
10
00
01
01
00
01
10
10
10
10
01
11
00
00
11
10
00
00
10
11
00
00
10
10
00
00
11
10
10
00
01
00
00
10
10
00
01
10
01
00
00
10
01
10
00
00
10
11
01
01
10
11
01
00
00
10
10
00
00
10
10
01
00
10
00
00
00
11
01
10
10
00
00
10
11
00
11
10
00
10
10
00
01
10
10
01
00
10
01
00
10
01
10
01
10
01
00
10
10
11
11
11
10
01
00
11
01
00
01
11
00
00
00
10
01
10
10
01
11
00
01
10
10
11
00
00
00
10
11
11
01
00
11
10
00
10
11
11
01
11
11
10
00
00
11
00
10
00
00
10
00
00
10
11
00
00
10
11
11
11
00
00
00
11
01
10
11
11
11
11
00
00
10
11
01
01
10
11
10
01
11
00
00
10
10
10
10
10
00
10
00
10
11
10
11
10
10
00
11
10
10
00
00
11
00
10
10
00
10
00
01
10
00
00
00
00
01
10
11
10
10
10
11
00
01
10
10
10
11
10
01
00
10
00
10
10
01
10
11
10
00
00
11
10
11
10
01
10
00
11
10
11
10
10
10
01
01
00
00
10
01
11
10
10
01
00
00
00
11
10
10
00
11
01
00
11
11
11
01
00
10
10
00
00
10
10
00
01
10
10
10
01
00
00
10
01
00
00
11
10
10
10
10
01
00
00
00
00
01
00
10
10
10
10
00
00
10
00
00
10
11
01
10
10
00
10
00
00
10
01
00
11
00
11
00
10
01
10
01
00
11
11
10
10
00
11
10
10
00
11
10
10
10
01
00
11
00
10
10
00
01
00
00
00
10
11
01
11
00
11
10
10
10
01
01
10
10
00
10
11
10
00
10
01
00
10
00
10
01
01
11
10
00
00
00
10
00
01
10
10
00
00
00
00
10
11
10
00
00
10
10
11
10
00
10
00
01
00
00
11
00
00
10
00
00
00
11
11
10
00
00
10
10
10
10
00
00
10
00
10
00
11
10
10
10
11
00
01
01
00
01
10
10
10
11
01
10
01
10
11
01
00
01
00
10
10
00
00
10
11
00
11
10
10
00
10
11
00
10
10
00
00
10
00
10
01
00
10
01
00
10
01
10
01
00
11
00
00
10
00
11
01
00
10
10
00
11
00
11
10
00
01
11
10
00
00
11
10
10
01
00
11
10
01
11
10
10
00
10
10
11
00
00
10
11
10
11
01
11
11
01
00
00
00
10
10
10
00
00
11
10
00
01
11
00
00
00
10
01
00
00
00
10
10
10
00
00
10
10
10
01
00
01
10
01
10
10
00
10
10
00
10
01
11
01
01
00
10
00
11
10
11
00
01
00
00
10
11
01
01
01
11
00
11
10
10
11
10
01
00
10
00
10
10
10
01
00
00
10
11
00
01
01
11
00
10
10
10
10
00
00
00
00
11
10
10
00
10
11
10
11
10
10
01
11
10
10
11
00
10
11
01
00
00
11
01
11
10
01
10
10
10
10
00
00
00
10
00
10
01
01
10
00
00
10
00
00
10
00
00
00
00
01
10
00
00
10
10
10
01
00
00
11
11
00
01
00
10
01
10
00
00
10
10
11
01
00
10
10
00
10
10
10
00
10
10
01
00
00
00
01
10
00
11
11
00
10
00
11
10
01
10
10
00
11
11
00
00
10
11
10
00
01
00
00
00
10
10
10
00
00
10
10
00
10
11
00
00
01
10
11
01
00
00
11
10
10
11
00
00
00
10
10
00
00
01
10
10
01
00
10
00
11
11
00
00
11
10
11
10
10
01
10
11
01
01
10
10
11
00
00
11
10
10
00
00
10
10
01
01
10
10
10
10
00
01
00
11
00
00
10
10
11
00
10
10
10
10
01
10
10
11
00
00
01
00
11
10
10
10
00
00
10
11
01
00
11
00
11
10
00
01
10
00
00
00
00
01
01
01
11
10
10
10
01
00
00
10
10
00
00
00
01
01
10
11
10
11
00
01
01
01
01
11
00
01
00
00
11
10
10
00
10
01
01
10
01
00
10
11
10
00
00
10
10
10
11
00
11
10
00
10
10
10
00
00
10
11
01
11
00
10
00
11
10
10
11
00
01
00
01
10
10
10
00
01
00
11
11
00
01
10
11
11
00
00
10
11
00
11
01
00
00
11
00
11
00
01
10
10
10
10
00
01
00
11
10
00
01
11
00
00
00
10
00
10
00
01
10
01
00
10
01
10
00
00
11
10
00
01
10
00
00
10
10
00
00
00
00
11
11
01
10
11
00
11
00
00
10
11
10
00
01
00
10
00
11
10
01
00
10
01
00
00
10
11
00
00
00
00
00
10
11
01
10
10
01
11
01
00
00
10
10
01
11
00
01
00
01
00
10
01
10
11
00
00
11
10
00
01
00
11
10
01
10
01
01
00
10
10
01
00
00
10
01
00
00
10
00
00
01
00
11
00
11
01
10
11
00
11
00
00
10
10
10
00
10
11
00
11
00
00
10
10
00
01
11
11
00
00
01
10
11
00
10
01
00
11
01
10
10
10
00
10
10
00
10
01
00
10
00
00
00
11
00
00
00
10
10
00
11
01
01
00
01
10
00
11
10
01
01
00
00
00
00
10
11
10
10
10
11
00
00
01
00
00
11
10
11
00
00
00
00
10
10
10
01
10
10
11
01
10
01
10
01
00
10
10
00
00
00
10
10
10
00
01
01
00
01
10
01
00
10
10
00
10
10
00
10
10
10
00
00
11
10
01
00
00
01
10
11
00
11
10
10
00
00
10
10
00
10
11
01
11
00
11
10
10
00
01
00
11
11
00
01
11
00
10
10
00
10
10
10
10
10
01
01
00
10
00
00
00
10
10
11
10
00
11
01
10
00
10
10
00
00
11
01
00
11
00
01
11
11
01
01
00
01
10
10
10
01
10
11
01
00
00
01
00
11
10
00
00
10
11
00
00
10
10
00
10
10
00
11
11
00
00
11
11
00
10
10
00
00
10
10
11
11
00
00
10
10
00
11
11
10
00
10
00
10
10
01
00
10
10
10
10
10
11
11
11
10
00
11
00
11
11
00
00
11
10
10
10
00
10
00
01
11
00
00
00
00
10
00
00
00
10
10
01
00
00
11
11
11
10
10
10
00
10
11
01
00
01
10
00
00
10
11
10
00
10
11
10
11
00
10
10
01
00
00
11
10
10
10
00
00
00
00
01
01
10
10
00
10
10
00
01
01
10
01
01
00
11
10
10
10
00
00
00
00
00
10
11
10
10
10
00
10
00
10
10
11
10
00
10
00
10
01
00
00
00
00
10
11
10
00
00
10
00
00
10
10
11
00
10
00
00
10
00
00
11
10
00
01
00
00
10
10
00
11
11
01
00
00
11
01
00
10
10
00
00
10
00
00
11
10
10
10
00
11
11
10
10
10
11
10
00
11
00
00
00
00
01
00
10
11
00
11
10
00
00
10
10
01
01
10
10
00
01
01
11
11
10
01
10
00
00
10
10
01
01
00
00
01
00
01
00
10
10
00
10
11
00
00
00
01
11
00
10
10
01
00
00
10
10
11
10
00
01
10
01
00
11
10
11
00
01
10
11
10
01
01
11
00
10
10
00
01
00
11
11
00
00
00
00
11
00
10
11
00
01
11
00
00
10
01
01
01
10
10
11
10
10
11
01
00
10
11
01
00
01
11
11
01
00
10
11
00
00
10
01
00
10
10
00
01
00
11
10
01
11
00
01
00
10
00
01
10
10
00
00
10
00
10
01
10
10
11
00
01
10
00
00
00
00
11
10
01
10
00
00
11
10
10
00
00
01
10
11
00
11
10
10
00
01
10
10
00
00
10
00
10
10
10
00
01
10
11
00
10
01
01
10
00
01
10
10
11
01
01
01
00
10
10
10
10
00
00
00
00
10
10
11
10
11
00
10
01
01
00
00
10
10
10
01
10
01
00
11
11
10
00
01
10
10
00
10
10
00
00
01
01
00
10
00
00
10
10
10
01
11
00
10
10
10
10
00
01
10
01
10
11
00
00
00
10
10
00
01
10
10
10
11
00
00
10
10
00
01
00
11
10
00
00
10
11
00
11
10
10
10
10
11
01
01
10
01
00
10
11
10
00
00
10
01
10
10
10
11
10
10
01
01
00
10
00
00
11
11
11
00
01
10
10
10
01
01
10
11
00
00
10
01
10
01
10
00
10
00
00
00
00
10
10
00
01
10
01
10
10
10
10
01
00
00
10
10
00
00
10
10
01
01
10
11
10
11
11
10
11
10
00
00
10
01
00
00
10
00
00
00
10
11
10
10
11
01
00
10
10
00
10
10
10
01
01
10
00
10
00
00
11
10
00
00
10
10
11
00
10
00
00
11
00
01
11
00
00
10
00
01
10
10
00
10
10
00
01
10
11
11
10
00
01
10
01
11
01
00
00
10
00
10
00
01
11
10
01
10
00
10
10
10
00
11
11
00
10
01
10
00
00
10
00
00
00
10
10
01
01
00
11
00
11
10
00
00
10
10
10
00
01
10
10
01
10
00
11
10
00
01
01
10
11
00
01
00
01
01
10
10
00
01
10
10
01
00
10
00
00
00
00
01
11
10
11
11
00
01
10
10
01
00
11
10
10
00
10
00
01
11
11
11
11
00
00
11
10
10
00
10
10
11
00
01
00
10
10
11
11
10
01
00
10
11
11
10
00
00
10
11
00
01
10
00
00
00
01
00
10
10
10
10
11
00
00
10
11
01
10
00
00
10
11
11
00
10
00
01
10
00
01
10
01
10
10
10
00
01
11
00
10
10
10
00
01
00
11
01
00
10
01
00
10
00
00
10
00
00
11
01
01
10
01
10
11
10
01
01
10
11
11
11
11
00
00
01
10
00
00
11
11
01
01
10
00
00
01
10
00
10
10
01
10
10
00
01
00
11
10
00
10
11
01
01
00
10
11
01
11
00
00
01
01
10
00
00
10
10
00
00
10
01
01
11
10
00
00
11
10
01
00
10
01
00
11
11
00
00
10
00
00
10
10
00
00
10
10
10
10
01
10
00
11
10
00
00
00
11
00
00
00
10
11
01
01
11
01
10
11
11
00
00
10
01
01
10
01
10
10
00
00
11
11
10
00
10
00
10
10
01
01
00
11
00
00
00
10
11
00
00
11
11
00
00
10
00
00
10
10
11
10
10
10
10
00
00
11
01
01
10
11
10
00
01
10
01
00
10
00
00
10
10
10
01
10
10
10
00
01
00
00
10
00
00
10
00
00
11
10
00
00
01
00
10
00
11
00
10
10
00
10
11
10
00
10
10
00
11
10
00
00
11
10
00
00
10
11
10
01
00
10
10
00
00
00
00
10
00
00
11
10
10
11
10
00
10
10
00
01
00
10
00
10
10
10
01
00
10
10
01
00
10
00
01
11
10
00
10
00
01
01
10
11
00
11
10
01
10
10
01
01
10
10
10
10
11
11
00
01
01
11
01
11
10
10
00
00
10
11
00
00
11
11
00
11
11
11
10
00
00
10
11
00
00
10
00
01
10
11
00
00
10
00
01
10
10
00
10
01
00
10
10
10
10
10
01
00
01
00
00
10
01
00
10
00
01
10
00
11
01
01
01
10
11
00
00
10
01
00
11
00
00
11
00
10
10
10
00
01
01
10
10
01
00
00
11
10
11
10
01
10
10
10
00
00
10
01
00
00
11
00
11
10
00
10
10
11
10
01
01
01
10
10
11
01
00
10
00
10
01
00
00
01
10
01
10
10
10
11
00
10
10
00
00
10
00
11
00
01
10
00
01
01
01
11
00
00
10
10
00
10
10
10
00
00
10
11
00
11
11
01
11
11
10
00
01
10
10
01
00
11
11
00
00
01
00
00
11
11
00
10
10
11
11
00
00
10
10
10
00
11
01
10
10
11
11
00
00
10
00
01
10
00
10
10
01
10
01
11
01
10
01
00
00
10
10
01
00
00
10
00
10
10
01
11
11
10
11
00
00
00
00
01
11
00
10
00
01
10
11
10
01
00
00
01
00
10
10
00
10
11
01
11
10
00
00
00
01
00
00
11
10
10
00
10
00
00
10
10
11
10
00
01
10
11
10
00
00
00
11
00
00
11
10
00
00
01
00
00
10
10
10
00
10
01
11
01
10
10
11
00
00
10
10
01
00
01
01
00
00
11
10
10
00
01
10
10
11
00
01
01
10
00
10
10
10
10
00
11
11
11
00
00
00
01
01
00
00
10
10
10
10
11
01
00
11
01
00
11
11
00
00
10
00
10
10
00
10
10
10
01
01
01
10
11
10
10
00
00
01
10
10
01
00
10
10
10
01
11
10
01
01
01
10
00
01
00
00
11
10
11
00
00
00
11
01
00
10
00
00
11
00
11
10
10
10
10
00
01
10
10
00
00
00
00
10
00
01
11
10
11
01
00
01
00
10
00
00
10
10
11
00
01
00
01
10
00
10
00
01
11
00
11
11
00
11
00
01
00
11
10
10
00
01
00
10
10
00
10
00
01
10
10
10
01
10
10
10
00
00
10
11
10
00
10
11
00
11
00
10
10
10
10
00
01
11
11
11
00
00
10
00
10
10
10
00
10
10
00
10
01
01
11
11
10
11
11
10
10
00
00
10
10
00
01
10
10
00
10
00
00
11
10
10
01
10
10
10
10
11
10
10
01
01
10
10
00
00
01
10
10
00
10
10
11
10
10
01
10
00
01
11
00
01
10
01
00
00
11
11
00
00
10
10
11
11
01
10
01
11
00
11
00
01
01
11
10
11
01
00
10
00
10
10
10
10
00
01
11
11
00
11
10
01
10
10
01
00
00
00
11
10
10
00
00
10
10
00
01
10
01
10
00
00
10
00
11
00
01
10
11
01
01
10
01
10
11
11
01
11
10
10
00
01
00
10
01
00
10
00
10
00
00
00
00
01
10
10
10
10
00
10
00
11
10
01
11
10
01
01
00
01
10
10
00
00
10
01
00
11
01
10
00
01
10
10
10
00
00
00
01
11
00
10
10
01
00
10
11
10
10
00
01
00
10
10
11
10
00
00
10
01
10
10
00
11
10
00
10
10
00
10
00
01
01
01
00
10
10
10
11
00
00
11
10
11
00
11
10
00
00
10
11
00
10
10
00
11
11
11
01
00
01
01
01
10
11
00
01
01
10
11
00
00
00
01
11
10
01
10
10
01
00
10
10
01
00
10
10
11
01
10
11
11
01
10
00
01
10
01
00
01
11
10
01
00
00
10
00
10
11
10
00
10
10
00
10
00
00
11
00
00
00
11
00
01
00
00
00
00
01
11
10
01
00
00
00
11
10
11
11
00
01
11
11
01
01
00
01
10
00
00
10
00
10
01
01
00
10
10
10
10
10
10
00
00
01
10
11
01
00
11
00
00
10
00
00
00
00
01
11
10
11
00
01
11
10
00
01
10
01
10
00
10
10
11
11
01
00
10
10
10
11
10
01
00
00
10
01
10
10
00
00
00
10
11
11
10
01
00
00
10
00
01
11
00
01
10
11
01
00
10
10
00
00
00
10
10
00
00
00
10
11
10
01
11
01
10
00
00
10
01
11
10
01
10
10
10
10
10
10
00
00
00
00
00
10
10
00
00
11
01
00
00
01
01
00
10
10
10
11
10
00
00
00
10
10
10
01
11
10
11
10
10
01
01
01
11
10
00
00
00
10
00
01
10
10
00
10
10
00
11
11
01
11
00
10
10
10
00
01
10
01
01
10
00
10
00
01
10
01
10
01
11
00
00
11
00
00
01
11
00
01
00
10
11
00
11
00
00
11
10
00
11
01
00
11
00
10
00
10
01
01
10
00
00
11
11
00
11
10
00
00
00
10
11
10
00
01
01
10
00
00
10
11
01
00
11
00
00
00
11
00
11
11
00
00
00
10
01
00
11
00
11
10
10
00
00
10
11
00
00
00
10
10
00
00
11
10
00
01
01
00
11
00
01
11
00
01
10
01
00
00
11
10
10
00
10
11
00
01
00
00
10
10
00
00
10
10
10
11
11
10
10
11
00
10
10
00
01
00
00
00
11
10
01
10
10
00
00
01
00
00
11
00
10
11
00
10
10
00
01
00
10
10
00
00
11
10
00
11
10
10
00
00
01
11
10
11
01
00
01
00
00
11
00
01
10
11
11
10
00
00
00
10
01
10
01
00
01
00
00
10
10
10
00
00
10
00
10
11
01
11
11
10
00
00
00
00
01
10
10
11
01
00
00
10
10
00
10
10
01
00
00
11
01
10
01
10
10
00
00
10
10
10
00
10
00
11
10
01
10
11
00
00
10
11
10
01
11
11
10
00
10
11
10
00
01
11
10
01
00
01
00
11
10
11
01
00
00
11
10
11
00
01
00
01
10
10
00
00
01
10
00
00
00
10
00
01
11
11
01
10
10
01
10
11
00
10
10
00
11
11
01
00
01
10
00
11
10
10
11
11
01
10
10
00
01
00
11
11
10
00
10
00
01
00
00
10
11
10
10
10
00
00
11
00
10
10
01
01
00
11
10
00
01
00
00
00
11
10
10
10
00
00
10
00
00
01
01
11
10
00
01
00
01
10
00
00
11
11
00
00
10
00
11
00
10
10
10
01
11
10
01
10
00
10
11
01
10
11
11
01
01
01
00
10
11
00
00
11
01
11
00
10
00
01
11
11
10
00
10
10
00
01
00
01
10
00
10
10
00
10
10
00
10
10
11
00
01
00
00
10
10
00
11
11
01
00
00
10
00
10
10
01
10
11
11
00
10
00
00
00
01
10
00
00
11
11
00
00
10
10
00
11
01
10
10
00
01
00
00
10
10
10
01
00
11
00
00
00
01
00
01
00
11
11
00
10
00
10
10
00
00
10
01
11
10
11
10
11
11
10
11
00
11
11
01
10
01
10
10
11
00
00
10
10
10
10
00
00
10
10
00
01
10
01
00
10
00
00
00
10
00
00
10
01
11
11
00
10
10
10
10
10
01
01
10
10
10
10
00
00
11
10
00
10
10
11
11
00
01
00
01
01
00
10
01
10
10
10
11
10
01
00
11
01
00
11
11
00
01
01
10
10
10
01
01
11
10
00
11
00
11
10
01
00
10
11
10
10
00
01
11
10
00
10
11
00
01
00
00
10
11
10
11
10
00
00
00
00
11
10
00
10
01
11
10
11
00
01
10
01
11
10
10
10
10
10
00
01
00
00
01
01
10
00
10
10
10
01
00
10
11
01
00
01
00
00
10
00
00
10
00
01
10
01
00
10
11
00
10
00
00
10
11
00
01
00
10
10
10
01
10
00
01
10
01
00
00
10
10
10
11
10
00
00
11
00
01
01
10
00
01
01
10
01
00
10
10
01
10
00
00
10
10
00
00
01
11
00
01
10
00
00
10
10
00
00
00
00
10
00
00
00
10
00
10
10
11
10
11
10
11
10
00
10
00
01
11
00
00
00
10
00
00
10
11
11
10
11
00
11
10
00
00
00
00
11
10
01
10
10
00
11
11
00
01
00
01
10
01
01
00
10
11
11
01
00
11
00
01
10
10
00
00
10
10
01
00
10
00
00
10
10
11
10
01
10
00
11
10
01
10
10
00
01
00
01
10
10
10
00
01
10
10
00
00
00
10
10
10
10
10
01
01
11
11
00
11
00
01
11
00
00
11
10
00
10
10
10
00
01
01
00
10
10
10
10
10
11
10
00
10
01
00
00
10
01
00
00
01
10
11
01
11
10
00
10
00
00
10
11
00
01
10
11
01
10
10
10
10
00
00
10
10
10
10
10
10
10
01
11
00
11
01
01
11
00
01
10
00
00
10
11
10
10
01
00
11
01
11
01
11
10
01
10
01
11
11
00
00
00
11
00
01
11
10
10
10
00
00
11
11
01
01
10
10
00
10
11
10
00
00
00
00
00
10
00
10
10
00
11
10
10
10
10
00
00
10
11
10
00
00
00
10
10
11
01
00
00
00
00
11
00
10
00
01
10
10
01
01
00
10
00
11
00
01
10
11
00
00
10
01
01
11
00
11
00
10
01
10
11
10
10
01
00
10
10
10
01
00
11
10
11
00
00
10
01
00
11
11
00
10
01
01
11
00
01
10
10
10
10
01
00
00
10
10
00
10
11
01
10
10
00
10
10
01
10
11
00
01
00
01
00
10
10
00
00
01
00
10
00
10
10
00
10
10
10
00
10
10
00
00
00
01
10
00
10
10
10
11
10
00
00
10
01
11
11
10
10
01
00
11
00
00
01
10
10
01
00
11
00
01
11
00
10
10
00
10
11
00
00
00
10
00
00
10
11
11
10
10
01
01
01
11
00
10
11
00
01
00
10
10
01
00
01
10
10
10
01
10
10
10
01
10
01
10
01
00
10
00
10
10
10
11
00
01
00
01
00
11
10
00
01
10
00
00
10
10
11
00
10
00
10
00
00
10
10
11
11
10
10
11
11
10
10
01
01
10
10
00
11
10
00
10
10
00
10
00
00
00
11
01
01
10
00
00
10
10
11
11
00
00
10
10
00
00
11
00
01
10
00
00
00
01
11
01
01
10
00
11
01
00
00
00
11
00
10
10
01
10
10
10
00
00
11
01
11
00
00
10
00
00
10
10
00
00
01
10
11
00
11
00
01
00
11
01
10
01
00
00
10
11
01
00
10
10
00
00
11
01
10
11
10
11
10
01
10
10
10
00
10
11
00
01
00
01
00
10
11
00
10
11
00
00
11
10
00
00
10
10
00
10
00
01
10
00
00
11
10
11
00
11
00
11
00
00
10
10
00
01
00
11
10
01
11
00
00
10
01
01
00
10
00
01
00
00
00
11
11
00
10
00
01
10
11
10
00
11
10
00
00
00
11
00
01
10
10
00
01
10
00
00
11
10
10
10
01
00
10
10
00
00
11
10
11
10
10
11
00
01
00
11
10
01
01
10
00
00
00
11
00
00
00
11
10
10
00
00
01
11
10
10
01
00
01
11
11
00
11
10
11
00
00
11
00
10
10
10
00
10
00
10
01
11
10
00
00
01
10
00
00
10
10
11
10
00
10
00
00
01
00
10
10
00
00
00
10
10
00
10
10
00
00
10
10
00
00
00
10
10
10
10
10
10
00
00
00
01
00
11
01
00
00
01
10
00
11
10
01
00
10
00
10
10
11
10
00
00
00
10
10
10
01
00
01
11
11
01
01
10
11
11
00
10
10
11
00
00
11
10
01
11
11
01
10
01
01
00
11
10
00
01
11
10
00
11
10
10
00
00
10
10
11
00
11
11
00
01
01
10
11
10
00
10
00
00
00
10
11
11
00
10
01
10
11
10
10
01
00
10
01
01
10
10
10
01
10
10
00
00
00
11
10
00
11
10
01
10
10
11
00
11
11
10
00
01
10
00
00
10
10
00
00
00
01
11
10
00
00
00
01
00
00
10
00
01
00
00
10
00
01
10
10
11
11
11
10
00
01
10
11
01
11
11
10
10
00
10
00
00
11
10
01
00
01
00
10
00
00
10
10
01
00
10
00
10
11
00
00
10
10
00
00
00
00
10
00
11
11
00
10
01
11
10
10
01
00
10
10
01
01
11
00
10
00
11
00
10
10
00
01
00
11
10
00
00
00
00
11
00
00
10
10
10
10
00
10
01
10
10
00
00
00
00
11
01
10
10
10
10
10
00
01
01
10
10
11
00
10
10
11
10
01
00
00
11
11
00
10
10
01
00
10
00
00
10
10
10
00
01
10
00
10
10
10
11
10
10
01
00
00
10
11
01
01
10
11
00
00
00
11
10
00
00
10
11
00
00
01
10
00
01
10
00
00
10
00
00
10
11
10
10
10
00
01
10
11
00
00
01
01
11
10
00
01
10
11
10
01
00
10
10
11
10
00
00
10
00
00
01
00
01
10
10
00
00
10
11
10
00
00
10
10
11
01
01
11
10
01
00
10
11
10
00
10
10
00
00
01
00
10
01
10
00
01
10
10
00
01
00
00
11
10
10
01
10
00
00
10
01
01
10
10
00
01
10
00
11
11
10
00
01
01
10
00
10
10
11
01
10
10
10
00
00
00
10
10
01
00
10
10
10
11
10
10
01
11
00
10
11
00
00
10
00
00
10
00
11
00
10
11
11
00
10
00
01
11
10
00
11
11
00
00
00
01
00
01
01
11
11
10
00
00
10
10
10
00
01
01
10
01
01
00
10
11
00
10
10
11
00
11
01
01
10
10
10
00
10
01
00
10
11
00
00
00
01
00
01
11
10
10
10
01
00
01
01
10
00
11
11
11
10
00
01
11
11
01
10
10
01
10
10
01
00
00
01
00
11
11
10
10
00
00
00
10
00
01
10
10
10
00
10
10
00
01
00
00
11
10
00
00
01
10
10
10
10
00
10
10
00
00
01
11
11
11
10
10
10
10
10
11
00
00
10
10
00
10
11
00
01
00
10
10
10
00
00
10
01
10
10
00
00
10
10
10
10
10
10
11
01
00
00
10
00
00
10
10
01
10
00
10
11
10
11
01
10
00
10
00
10
11
00
00
00
00
01
01
00
00
01
00
11
11
10
10
00
11
10
10
01
01
11
10
00
00
00
10
10
10
00
10
00
10
10
01
10
11
10
11
01
00
00
00
10
11
10
10
10
01
11
11
01
01
11
10
00
00
00
10
11
00
00
11
00
10
10
00
10
01
01
00
01
10
10
10
00
01
00
10
11
00
00
10
11
01
10
00
00
00
11
01
11
01
00
11
01
11
10
01
01
11
00
00
10
10
00
00
10
10
00
01
01
00
01
00
00
00
00
00
11
10
01
00
10
10
10
01
01
00
00
01
10
01
00
10
10
10
00
00
00
11
00
00
00
00
10
00
10
00
10
11
01
00
10
10
10
01
01
11
00
00
10
01
11
00
10
10
00
10
00
00
10
00
01
10
00
01
01
00
00
01
10
10
01
11
00
00
10
10
00
00
01
00
10
00
00
11
10
00
00
00
11
00
00
01
10
00
00
01
10
01
11
11
10
00
01
10
00
11
10
00
00
10
00
00
10
10
11
00
10
00
00
11
10
10
10
01
00
11
10
01
01
01
10
11
10
01
00
11
10
00
00
01
01
10
01
00
00
10
11
10
10
00
01
00
10
10
10
11
01
11
00
01
00
11
00
00
10
00
00
00
10
10
01
01
01
10
11
00
11
10
01
00
10
00
00
10
01
10
10
10
01
00
11
11
00
01
00
01
00
01
10
10
10
00
01
11
10
00
00
00
00
10
10
01
00
01
01
10
00
00
10
01
00
10
11
00
00
00
01
11
11
10
01
00
11
11
00
10
10
01
00
11
10
00
00
10
10
10
10
00
10
01
00
00
10
10
10
00
10
10
10
00
00
11
10
10
10
00
01
10
00
10
10
00
00
10
00
10
00
00
11
10
11
11
00
01
11
11
00
10
10
01
00
10
11
00
00
00
11
11
00
00
10
00
00
01
11
01
01
11
01
10
11
10
11
01
00
00
10
00
00
10
11
11
00
00
00
00
10
10
01
01
10
10
00
00
11
01
11
10
10
10
10
00
01
10
10
01
10
00
01
10
11
10
10
10
00
01
00
01
01
10
11
11
00
11
10
00
01
10
11
10
11
01
11
00
10
10
00
10
00
00
10
10
00
01
10
10
01
00
11
00
00
11
00
00
01
10
10
10
01
10
10
00
10
01
01
01
00
00
10
00
10
01
00
10
01
10
11
00
10
10
10
10
10
11
00
00
10
11
10
00
10
10
10
10
00
00
10
10
10
11
01
00
11
00
00
11
11
00
01
10
00
11
10
11
11
01
00
11
01
10
01
00
00
11
00
00
10
01
01
10
01
00
00
10
00
10
01
01
10
10
10
00
00
10
01
10
10
00
01
11
00
10
01
10
11
11
10
11
10
01
10
10
00
10
10
00
00
10
00
00
10
10
11
01
01
10
01
01
00
01
00
10
10
11
01
00
10
01
10
00
10
11
00
11
10
10
00
10
10
10
00
10
00
11
10
00
10
01
10
01
10
11
10
00
01
10
11
00
00
00
00
10
00
00
10
10
10
10
10
00
10
10
01
00
11
10
00
11
10
10
00
01
11
10
10
00
00
11
10
01
10
00
10
10
10
10
00
10
10
11
11
10
10
10
00
00
10
00
10
10
10
01
11
00
00
00
11
10
00
10
01
10
10
10
11
11
00
00
00
10
10
10
01
00
00
00
10
00
01
11
10
00
11
00
00
10
01
11
01
01
10
00
00
10
11
00
00
10
10
00
01
10
10
10
11
10
00
00
00
11
00
00
10
01
11
11
10
10
11
10
10
00
00
10
10
00
00
00
00
10
10
01
00
10
11
10
01
00
01
00
11
10
00
11
01
11
10
10
10
11
10
01
00
11
11
00
10
00
01
10
11
00
01
10
00
11
10
11
00
11
11
01
00
11
11
10
00
01
10
11
10
01
00
00
11
10
00
11
11
11
10
01
01
10
10
01
11
10
10
00
00
00
00
10
10
10
10
11
00
10
10
01
11
10
00
00
10
11
00
00
10
10
11
01
10
11
00
11
00
00
10
01
00
11
00
00
10
10
11
00
10
11
10
10
01
10
01
00
01
10
00
00
10
10
10
00
00
10
11
01
01
11
01
00
01
00
10
00
00
10
11
10
11
01
10
00
11
11
00
10
10
00
10
00
00
10
10
00
00
00
01
00
11
00
00
00
11
01
10
10
00
00
10
10
01
00
11
10
00
11
00
10
01
11
10
00
00
11
10
10
01
01
00
11
11
11
10
00
10
10
10
00
11
10
00
10
11
11
00
10
00
00
10
00
11
11
01
01
00
10
00
10
01
00
10
10
11
00
00
01
00
11
10
01
11
01
00
11
11
00
01
10
00
00
11
10
00
11
10
01
10
11
10
01
00
10
00
01
10
11
10
11
00
10
11
00
10
10
01
01
11
10
10
10
10
10
11
00
00
10
11
00
11
00
01
10
00
10
11
00
01
00
10
00
10
10
10
00
01
01
10
10
00
00
00
10
01
10
01
00
11
00
00
01
11
10
00
00
10
10
00
11
10
01
10
00
00
01
10
00
00
10
00
00
10
00
11
00
01
10
11
10
10
00
11
11
10
10
01
00
00
00
01
01
10
00
01
10
11
00
10
10
11
00
01
11
01
00
10
01
10
11
00
11
00
00
10
11
00
00
10
00
00
10
10
00
11
00
01
01
00
00
00
00
01
00
10
10
10
11
00
00
00
01
11
00
00
10
00
10
11
00
10
10
00
00
10
11
00
10
10
10
11
11
11
10
11
01
10
11
10
01
11
10
01
00
10
10
10
00
00
10
11
01
00
00
01
00
11
11
10
11
01
11
10
10
01
10
10
10
00
10
11
00
00
01
10
11
00
10
00
01
10
00
10
10
00
10
00
10
10
01
00
10
01
00
10
10
00
00
10
10
00
11
11
11
00
01
11
01
00
11
10
00
10
10
01
00
10
10
10
00
10
00
00
01
10
00
00
01
01
01
11
00
00
10
00
10
10
00
00
11
00
10
10
00
11
00
10
00
10
00
01
00
10
10
01
01
00
11
10
00
01
00
01
10
11
00
01
11
10
10
00
00
10
00
00
10
00
01
01
01
01
10
11
01
11
01
01
10
00
00
10
10
00
01
11
11
00
11
00
00
11
00
10
11
10
00
11
10
00
11
10
01
01
01
10
00
00
10
00
10
00
00
00
10
11
11
00
11
10
11
11
01
01
01
00
10
10
00
11
10
10
11
00
01
11
10
00
00
10
10
01
01
01
10
10
10
00
01
10
11
00
10
11
11
01
00
10
11
10
01
10
00
00
00
01
10
10
01
11
11
00
10
00
10
00
00
10
00
10
10
11
10
11
01
10
00
00
00
10
10
00
11
11
11
01
11
10
10
00
00
10
10
00
01
10
11
10
01
00
00
00
10
00
00
11
00
10
01
00
01
10
10
10
01
01
10
11
10
11
00
00
10
11
01
00
10
10
11
10
01
00
10
11
10
10
01
01
11
10
01
10
01
10
01
10
11
01
01
00
10
00
00
11
10
01
11
00
00
10
10
10
10
01
00
10
11
00
00
10
10
10
01
00
11
01
00
00
00
10
10
10
00
00
10
10
10
00
11
10
00
00
10
00
00
11
00
10
10
11
00
11
10
10
00
01
00
01
00
01
00
10
10
00
00
11
10
10
01
00
11
00
00
00
01
00
10
00
10
11
00
10
11
00
00
11
11
10
11
00
00
00
10
01
00
10
11
11
01
00
01
11
00
10
10
00
00
00
10
10
01
10
11
10
11
10
00
00
10
10
00
01
11
01
10
11
01
00
00
11
00
00
10
11
00
01
10
10
11
01
00
00
10
10
01
10
00
01
00
00
01
10
00
10
10
10
00
00
00
00
11
10
00
10
00
00
11
10
10
10
10
01
00
10
10
11
00
01
00
11
10
10
01
00
10
10
10
00
00
10
00
01
11
00
10
00
10
10
10
11
11
00
10
00
01
10
10
00
00
00
01
11
10
10
00
10
00
01
00
00
10
10
01
00
10
00
10
11
10
11
00
10
00
10
10
01
00
10
11
01
11
11
11
11
00
00
10
00
00
10
10
01
11
11
01
10
11
00
00
10
11
00
00
10
11
00
01
00
10
00
00
00
10
10
00
00
11
10
10
01
01
00
01
10
01
01
00
10
10
00
00
00
01
01
10
11
00
00
10
00
01
00
10
10
01
01
11
10
10
01
10
01
00
10
00
00
10
11
01
01
10
10
10
01
00
10
11
00
10
10
00
10
10
00
01
10
00
00
11
10
00
00
10
00
11
11
00
00
00
10
00
01
11
00
00
01
11
11
10
01
00
10
11
10
10
01
01
10
11
10
10
00
00
00
10
10
00
10
00
00
00
10
10
00
00
00
00
10
11
00
00
10
10
11
10
11
00
00
11
00
10
00
01
10
11
10
11
00
00
11
00
01
01
00
10
10
00
00
11
10
10
10
10
00
00
10
10
01
10
10
00
11
00
00
00
00
00
00
00
11
11
00
01
00
11
00
01
10
11
10
11
00
10
00
00
00
10
10
01
11
01
00
11
01
00
00
10
10
01
00
10
10
10
10
10
10
01
01
00
01
11
10
11
00
10
10
00
00
10
00
10
01
10
11
10
00
00
11
00
10
10
00
10
10
11
01
00
10
00
11
00
01
00
00
00
10
10
00
10
10
01
01
10
11
01
11
01
00
10
10
01
00
01
00
10
10
11
11
00
10
00
01
00
00
11
10
00
00
10
00
00
11
10
01
01
10
01
10
11
00
10
00
10
10
00
10
00
11
10
10
10
11
00
10
00
01
00
10
10
00
00
10
00
11
10
01
11
01
11
10
01
10
11
00
10
00
00
11
00
10
00
01
11
01
11
10
10
10
10
00
00
00
11
10
11
10
00
00
10
00
11
11
00
01
00
00
00
00
10
10
11
00
00
10
10
10
11
00
00
00
10
01
11
00
00
10
10
10
11
10
10
00
10
00
00
10
11
00
00
10
00
00
10
01
11
01
00
10
10
10
10
01
01
01
01
11
10
11
00
00
10
00
11
10
00
10
10
11
00
11
10
00
11
00
00
11
00
01
00
01
10
00
10
00
00
10
11
10
00
00
00
11
11
10
10
10
10
01
10
10
01
10
10
00
10
00
00
00
01
10
10
01
10
01
10
00
00
00
10
10
11
00
10
11
11
00
10
01
01
01
11
10
10
00
10
10
00
00
10
10
11
11
00
00
11
11
11
10
11
10
00
10
00
00
11
01
11
11
01
00
00
10
01
01
11
10
00
11
00
01
00
10
11
00
00
10
00
00
10
10
00
10
11
10
00
10
11
10
11
10
01
11
01
10
01
01
00
00
10
00
00
10
00
11
11
00
00
00
10
10
10
00
10
01
01
10
11
10
01
11
10
11
01
11
10
11
00
00
00
10
00
01
10
10
10
11
01
00
00
10
10
11
00
00
00
10
11
00
11
00
00
11
01
01
11
10
01
00
01
11
00
00
10
11
10
00
00
01
00
00
10
11
11
00
10
01
01
10
00
10
10
10
00
00
10
10
00
00
11
10
00
00
11
10
00
10
01
10
10
00
00
10
00
10
10
00
01
00
00
10
01
10
00
01
01
10
00
01
11
10
11
00
10
10
00
00
01
01
10
10
11
11
10
11
00
00
11
10
11
10
00
00
01
00
00
11
10
01
10
00
10
10
11
10
10
01
10
00
00
10
10
10
10
10
00
01
10
11
11
01
10
10
00
00
00
00
10
10
11
10
10
00
10
11
10
00
00
10
00
10
00
00
00
11
10
01
00
00
11
00
01
11
11
01
00
00
00
00
10
11
10
01
01
10
10
11
00
10
00
11
00
11
11
00
10
00
11
11
01
00
11
10
11
01
00
10
00
00
11
00
11
10
00
00
10
01
00
11
10
00
10
10
10
10
00
01
00
10
00
01
00
10
00
00
00
01
00
00
10
10
11
01
01
10
10
00
01
11
00
00
11
11
00
01
00
11
10
01
00
01
10
11
00
01
00
10
10
00
10
01
00
10
10
01
10
10
10
01
11
01
01
11
00
01
10
00
01
10
11
00
00
01
10
10
00
00
11
11
01
10
11
11
11
00
00
01
01
10
10
00
01
11
01
01
11
11
11
11
01
10
10
00
01
00
10
00
00
00
01
01
11
10
10
00
01
10
10
00
00
10
00
00
11
10
01
01
10
01
10
10
10
00
00
01
11
11
01
00
10
00
10
00
00
11
10
00
00
00
11
01
01
10
00
10
01
01
10
01
00
10
10
10
00
01
11
10
01
00
11
00
00
10
10
00
01
11
10
01
10
00
11
10
00
00
00
10
01
01
10
11
00
01
11
11
11
00
00
10
00
10
01
00
10
11
10
01
00
01
10
10
01
10
10
00
10
11
01
00
10
10
10
10
01
10
01
01
10
00
00
01
10
00
01
01
10
01
10
10
00
00
10
10
00
10
00
00
00
00
10
10
10
10
00
11
01
10
10
00
01
11
11
11
10
00
11
00
10
10
00
00
00
00
01
11
00
00
00
10
10
00
00
11
01
10
10
00
11
10
11
01
00
11
10
01
00
00
10
10
00
10
01
00
00
11
00
10
00
00
10
00
01
00
00
00
10
10
00
10
11
00
01
00
00
00
01
10
10
10
01
10
11
11
10
10
11
10
10
10
00
00
10
00
00
10
10
00
00
10
10
10
01
00
11
11
00
00
10
01
10
00
01
10
10
10
11
10
00
10
10
01
11
00
11
10
00
00
10
00
11
10
00
01
00
11
10
10
00
00
00
00
10
11
10
00
00
00
10
10
10
01
11
01
01
00
10
00
01
10
10
01
01
00
11
00
10
10
00
11
10
00
00
00
00
00
01
01
00
10
00
10
01
01
00
11
10
01
00
01
10
11
00
00
10
10
10
00
11
00
10
00
00
10
10
10
00
00
11
10
10
00
10
11
10
00
11
00
01
10
11
00
11
10
10
10
01
10
00
10
10
11
00
00
11
10
00
00
10
10
00
01
10
01
10
11
01
00
11
10
11
01
10
01
10
00
01
00
11
10
00
00
00
00
01
10
10
11
10
11
00
00
00
11
10
10
10
00
10
10
01
10
00
01
00
10
00
10
00
11
01
01
00
10
11
01
01
10
11
01
11
10
01
10
00
00
01
00
10
11
10
01
11
10
00
10
10
01
00
10
11
10
11
01
11
00
00
01
11
11
00
00
00
10
11
10
01
00
10
01
11
00
00
01
10
11
00
10
01
00
10
10
00
10
10
10
10
00
10
10
01
01
00
10
00
10
01
01
00
11
00
01
00
00
00
10
00
00
00
00
11
10
10
01
11
00
00
00
10
10
10
00
00
10
00
00
10
01
01
00
10
00
00
10
00
11
10
01
00
01
00
10
00
11
00
11
10
00
10
10
01
01
01
11
00
11
10
01
01
01
10
10
11
10
10
00
00
01
10
10
00
11
10
01
11
10
00
10
10
00
10
00
01
00
11
10
01
10
00
10
10
00
00
00
10
10
00
10
01
10
00
10
10
01
11
01
01
11
10
00
10
10
00
00
10
10
00
00
10
10
01
11
11
01
00
00
10
10
01
00
10
11
11
01
11
10
11
10
00
11
00
00
00
10
10
01
01
00
01
01
11
11
00
01
00
00
10
10
11
10
00
01
11
00
00
01
11
10
10
10
11
11
01
00
01
10
10
01
00
10
10
01
00
00
11
00
11
10
10
00
00
01
10
00
01
00
10
11
01
10
00
00
01
10
10
00
10
10
10
10
10
10
00
00
11
10
10
11
01
10
01
00
00
01
10
11
00
10
10
10
00
10
01
00
00
00
10
11
00
01
11
01
10
01
00
00
00
01
01
10
11
00
01
11
10
11
11
01
00
00
11
11
01
00
10
10
01
10
01
10
10
10
00
11
00
10
11
00
01
00
10
10
00
10
10
10
10
11
01
01
00
10
10
01
00
11
11
01
00
10
01
10
11
00
01
10
01
01
10
11
01
01
11
11
10
00
00
10
10
00
00
00
11
01
11
10
10
10
00
10
10
10
01
00
00
01
01
10
01
11
11
10
00
01
00
00
10
10
01
10
11
00
10
11
01
10
11
11
10
11
00
11
01
01
10
00
00
10
01
01
11
01
10
11
00
10
10
11
00
01
10
00
10
00
11
11
00
00
10
01
00
10
01
00
10
00
00
10
00
10
00
10
10
00
00
11
00
10
00
01
11
00
11
10
00
00
00
10
00
01
11
11
00
00
10
00
10
11
00
01
01
01
10
10
11
01
01
10
11
00
01
10
00
10
10
00
00
00
11
10
00
00
10
10
10
01
00
00
01
00
10
01
00
10
00
01
01
10
11
11
01
00
00
10
10
00
10
00
00
10
11
11
01
01
10
00
10
10
00
10
10
00
01
10
00
01
00
10
10
01
00
10
10
01
11
11
10
10
00
00
10
10
01
01
01
10
11
00
01
00
10
10
00
00
01
00
10
10
10
11
10
10
10
10
00
10
10
00
00
00
10
00
10
00
11
00
11
10
01
10
11
00
01
10
10
10
01
00
10
10
00
00
01
01
01
01
00
10
11
11
10
01
01
10
00
10
10
00
00
00
10
11
01
10
01
10
10
01
10
10
00
10
10
00
00
11
10
00
01
11
01
00
10
00
10
11
00
01
11
10
11
01
00
10
00
00
00
01
10
01
01
11
10
11
01
11
11
00
10
11
01
10
11
11
00
10
10
00
10
11
00
01
00
10
10
10
10
00
00
11
10
00
10
01
10
01
11
00
11
11
00
10
10
00
01
01
11
10
10
00
01
00
00
01
11
10
11
10
10
01
00
10
10
00
00
01
10
10
10
10
00
00
00
00
01
11
00
10
10
11
10
10
10
10
00
00
10
11
00
00
11
00
10
01
11
10
01
10
01
00
01
10
10
01
00
00
00
01
11
11
10
01
11
10
10
10
00
00
00
10
10
10
10
10
01
11
10
10
01
01
01
11
10
01
10
00
10
10
00
11
10
00
10
00
10
00
10
00
00
11
10
11
00
11
00
00
10
01
00
11
10
01
10
01
11
01
10
10
01
10
00
01
00
01
10
10
11
01
00
11
01
01
00
01
10
01
00
10
10
00
01
00
00
00
10
11
01
10
10
00
11
10
10
00
11
10
10
00
00
10
10
00
00
10
10
01
00
10
01
11
11
00
00
10
10
01
00
11
10
10
00
01
10
10
01
01
00
00
10
01
00
10
00
00
01
01
11
10
00
00
00
10
00
10
10
00
11
10
10
01
01
00
00
00
10
00
00
11
11
10
00
00
10
01
00
10
00
10
10
01
10
01
00
10
01
01
10
10
10
00
01
10
00
00
10
10
10
01
10
01
00
01
00
01
00
00
11
00
01
10
11
10
01
11
11
00
01
11
11
11
00
00
00
11
11
00
00
10
00
00
00
11
10
10
00
10
00
10
10
00
00
10
00
10
00
01
10
00
11
01
00
11
11
10
00
00
10
10
01
00
10
10
00
00
10
01
00
10
10
01
10
00
10
00
00
01
11
10
10
00
10
11
11
10
00
10
10
00
00
10
10
00
00
11
00
10
00
11
10
00
10
10
00
00
11
11
10
11
00
10
11
10
00
10
11
01
00
00
10
11
01
00
00
00
00
10
00
11
00
00
00
11
10
10
10
01
10
10
10
11
10
00
01
10
00
10
00
10
10
01
10
01
10
11
01
00
00
10
01
00
10
10
01
10
10
11
00
00
10
10
00
10
00
01
10
11
11
10
00
00
10
10
01
10
10
00
11
00
10
01
00
11
00
01
10
10
10
11
11
01
00
10
01
01
11
00
01
11
11
10
10
01
01
01
10
10
00
00
00
00
00
10
11
11
00
10
10
00
00
00
01
00
11
00
01
11
10
01
01
00
10
10
10
00
10
10
00
01
00
00
00
11
11
00
00
10
00
11
11
01
10
00
10
11
10
10
00
01
00
11
00
10
10
01
00
00
11
00
11
10
01
10
00
00
11
10
01
00
00
00
01
10
00
01
10
10
01
10
00
10
01
10
00
00
10
01
00
01
00
10
11
11
11
00
00
10
10
00
01
10
10
00
00
00
00
10
11
10
01
10
00
10
10
10
10
11
00
01
01
10
00
10
00
11
10
00
01
00
00
00
01
10
10
10
00
00
01
01
10
11
10
01
11
11
01
10
10
00
00
11
00
00
10
00
10
11
00
10
00
11
00
11
00
00
10
01
01
01
00
11
00
00
11
10
10
01
11
10
00
10
01
00
10
00
10
10
10
10
01
10
00
00
01
01
00
10
11
11
00
01
10
10
11
01
11
00
11
10
00
10
11
10
01
00
10
11
00
10
00
11
10
00
00
10
00
00
00
00
01
11
00
01
10
11
00
01
10
10
00
00
00
00
00
10
00
10
01
10
01
00
00
11
10
10
00
11
11
10
00
10
00
01
00
10
01
00
10
01
01
10
10
00
11
10
11
01
00
10
10
00
10
10
00
00
10
00
00
10
00
00
10
00
00
10
00
10
01
00
01
00
11
00
11
11
01
01
10
01
11
10
10
10
00
10
00
01
10
00
11
00
10
00
00
10
00
01
10
10
00
11
00
00
00
11
11
01
00
10
00
11
10
01
10
11
11
10
00
01
00
10
00
10
10
00
11
10
01
00
10
01
00
01
10
10
01
01
11
00
00
10
10
01
00
00
10
10
01
10
00
10
01
00
10
10
10
11
10
00
10
00
11
00
11
11
00
00
01
10
00
11
10
00
11
11
11
10
00
10
00
01
00
01
10
00
00
11
10
00
01
11
10
00
00
10
01
00
00
00
10
10
11
10
00
11
10
01
11
00
00
11
00
10
01
10
01
10
10
00
10
11
10
00
10
11
00
10
00
11
00
00
11
00
00
01
10
10
00
01
10
10
10
10
00
11
00
00
10
00
10
00
10
10
10
01
01
10
00
00
11
00
10
10
10
10
01
10
00
00
10
00
11
00
01
00
00
11
01
00
10
00
00
00
11
10
00
01
10
11
01
10
01
01
10
10
01
01
10
11
00
10
10
10
11
01
00
10
00
10
11
00
00
00
10
10
00
10
10
01
11
00
00
11
00
00
10
11
10
10
00
10
10
11
10
01
10
10
01
01
01
00
11
10
10
10
01
10
10
00
01
10
10
00
00
10
10
11
10
11
01
11
10
00
00
01
01
10
10
10
00
00
11
00
01
11
11
10
11
00
10
10
01
00
10
10
00
00
10
00
00
00
10
10
10
11
00
00
10
10
10
01
01
10
00
11
00
00
10
10
01
00
00
01
01
11
00
10
01
11
00
00
10
11
00
00
10
10
01
11
00
00
10
01
00
10
01
01
00
11
00
00
10
01
10
10
01
01
01
10
10
11
10
10
11
00
00
10
01
10
00
00
11
10
00
00
10
11
01
11
00
01
00
10
11
11
10
11
00
01
00
00
00
10
00
00
00
10
00
00
01
00
01
01
00
01
10
10
10
10
01
01
01
10
00
01
00
10
10
00
01
00
10
11
10
00
11
10
00
00
00
10
01
00
10
00
11
00
10
00
10
01
11
11
00
01
10
10
10
01
01
11
11
11
10
01
01
00
00
11
10
00
11
10
01
10
10
01
10
11
00
01
10
10
00
10
10
00
00
01
10
10
10
00
11
11
00
10
10
00
00
11
11
00
00
10
10
00
00
10
00
01
11
00
10
11
10
00
00
10
10
01
01
11
01
10
10
11
10
01
00
00
00
00
01
11
11
00
00
10
10
11
10
10
00
00
00
11
01
01
00
01
11
11
11
10
10
00
00
01
10
11
00
11
10
11
10
11
10
10
11
00
10
10
01
01
01
00
01
11
00
00
10
00
00
10
10
11
10
11
00
00
01
00
11
11
00
00
11
11
10
11
10
01
00
10
01
01
11
10
10
01
10
11
11
00
00
11
01
10
10
00
01
01
01
11
10
10
00
00
11
01
10
10
01
00
00
10
10
10
11
01
01
11
00
11
11
10
00
10
11
00
00
10
00
01
10
00
00
11
01
10
01
10
11
10
10
00
10
11
10
11
00
11
01
10
10
01
10
10
00
00
11
01
11
10
11
00
10
00
00
10
01
00
11
11
00
00
00
00
10
10
00
01
10
10
00
10
11
00
10
10
00
10
00
10
00
01
10
10
10
01
00
10
10
00
10
11
01
11
00
00
00
10
11
00
10
10
11
01
00
00
00
11
00
00
00
11
10
00
10
10
11
00
00
11
00
01
00
00
00
00
00
10
10
00
10
10
10
11
00
00
10
11
01
10
01
00
01
00
10
00
00
10
11
10
00
10
00
00
00
01
10
00
01
00
10
10
00
00
01
11
00
01
10
10
11
11
01
11
01
00
00
10
00
10
10
00
11
11
01
00
00
11
10
10
11
00
00
00
00
11
10
00
10
10
10
11
00
00
00
00
00
11
10
01
00
01
00
10
10
11
01
01
11
10
00
10
10
01
00
00
11
01
10
00
10
10
10
01
10
10
11
10
00
10
00
01
11
10
00
00
10
00
10
10
11
01
01
00
10
00
10
11
00
10
10
00
00
11
00
00
10
01
10
01
10
01
10
11
10
11
10
00
01
00
01
01
10
00
11
10
11
10
00
00
10
10
00
11
00
11
11
00
10
10
00
00
00
10
11
00
10
10
00
10
10
11
00
00
00
01
10
01
10
10
01
11
00
00
00
10
00
10
00
11
00
00
00
11
10
11
00
10
10
01
11
00
00
11
01
01
00
10
01
01
10
00
11
10
10
10
00
00
01
11
01
00
11
10
00
10
11
11
10
10
01
01
10
10
10
00
10
00
11
10
00
10
10
10
00
10
00
00
01
10
00
10
11
11
00
00
10
00
01
00
01
00
10
11
00
11
00
01
10
00
11
10
00
00
11
11
00
10
00
00
10
10
10
00
11
11
10
01
10
00
00
00
10
00
00
10
00
01
00
00
00
00
11
11
01
11
10
00
01
00
10
01
00
10
01
00
10
10
00
00
00
11
11
10
00
00
11
00
10
10
00
10
00
01
10
10
11
10
10
01
00
11
10
01
10
01
00
00
10
11
11
00
10
01
10
00
01
11
10
01
01
00
01
10
01
10
01
10
00
00
11
11
11
00
01
10
00
10
10
00
10
10
00
00
10
11
10
11
10
10
10
10
11
00
01
11
00
00
00
00
00
00
10
00
01
11
10
01
11
10
00
00
10
01
00
11
10
00
00
00
00
11
01
01
00
01
10
10
11
10
10
00
00
00
00
10
01
10
10
11
00
10
10
11
10
10
10
00
00
00
00
00
00
10
00
01
10
11
00
01
01
11
01
01
00
01
10
01
10
00
11
00
11
10
10
10
00
10
10
00
10
00
01
00
10
00
00
01
00
01
10
10
10
00
10
11
01
11
01
00
10
00
00
11
10
00
00
10
10
00
00
11
10
00
01
10
00
10
01
00
00
01
00
01
11
01
11
00
00
10
10
10
10
00
01
10
00
10
10
01
00
01
00
01
11
11
00
10
10
01
01
10
11
10
00
00
00
00
00
01
10
10
00
00
10
10
01
00
00
01
10
10
00
00
01
00
10
01
11
10
10
11
00
11
11
01
10
00
00
00
00
11
10
01
00
10
10
10
11
01
10
11
01
11
00
11
00
10
10
00
10
10
00
00
10
10
00
10
10
10
00
01
10
00
10
01
00
00
10
01
00
10
11
00
00
01
10
11
11
00
01
11
11
00
00
10
11
00
10
10
00
10
11
11
11
00
01
00
10
10
00
00
10
11
00
11
11
00
11
10
10
11
10
01
11
10
00
10
11
01
01
10
00
00
10
01
10
10
00
01
11
00
01
10
01
00
11
10
00
00
11
10
01
10
10
10
10
10
01
11
11
11
00
10
11
11
00
00
10
01
00
01
01
10
10
11
10
11
10
00
10
01
11
01
11
11
00
10
10
10
11
00
10
00
10
10
01
10
00
00
00
11
10
00
01
00
11
10
00
00
00
00
10
00
11
10
01
00
11
10
11
10
01
10
10
10
00
00
10
00
01
00
11
00
10
00
00
00
10
11
01
10
10
10
00
01
10
01
11
10
10
00
10
10
10
00
11
10
00
10
10
00
00
11
01
01
00
10
11
00
00
10
01
00
10
11
01
10
10
00
10
10
00
00
00
00
10
10
11
00
00
10
00
00
10
10
10
10
00
11
00
00
10
10
10
01
10
01
10
10
00
10
01
01
10
01
00
00
00
10
11
10
10
00
11
00
01
00
11
00
10
00
10
10
00
10
11
10
11
01
11
11
01
11
11
00
00
10
11
00
01
00
11
10
00
00
10
10
11
10
01
11
10
11
10
00
00
01
11
10
10
01
00
10
10
00
10
10
00
10
11
00
10
10
10
00
10
11
10
10
00
00
01
10
10
10
10
01
00
00
10
10
00
11
10
01
00
11
10
00
00
00
00
10
10
01
10
10
10
10
10
01
00
10
11
11
00
00
00
10
01
10
10
01
00
00
10
11
00
11
01
10
01
00
11
00
00
10
10
11
00
01
11
10
00
00
10
10
01
00
00
10
10
00
10
01
10
00
01
10
01
10
11
11
01
00
00
10
11
00
00
11
11
00
10
01
10
10
00
10
10
00
10
01
00
11
11
10
10
10
10
10
00
00
10
01
00
11
01
00
10
10
11
01
11
10
11
10
11
00
00
00
11
10
01
00
00
11
10
00
01
10
11
11
01
00
11
10
11
11
01
11
00
11
10
00
00
00
11
10
00
00
00
10
01
10
11
10
10
11
01
00
00
00
10
11
10
00
10
10
10
00
00
10
01
00
11
00
11
00
01
11
00
00
10
11
01
10
01
01
10
00
01
01
10
00
01
10
01
11
00
01
10
10
11
01
00
11
11
00
01
00
10
11
10
00
00
01
10
10
10
00
00
10
10
10
01
00
11
00
01
10
01
01
00
10
11
00
00
01
11
10
01
11
00
01
11
10
10
00
00
10
00
10
10
10
10
00
10
00
01
10
10
00
10
00
00
10
11
01
11
11
00
11
00
00
00
00
10
11
00
01
10
10
00
10
11
00
11
10
00
10
10
10
00
11
10
00
00
10
10
10
10
11
10
10
01
11
11
00
01
10
10
00
11
11
00
10
00
01
10
10
11
00
10
11
11
10
00
01
10
00
10
00
00
00
00
01
00
11
10
11
01
10
10
00
01
11
01
10
01
00
11
10
10
01
01
00
10
01
00
10
00
00
10
01
10
00
10
00
10
10
01
10
10
00
10
10
00
00
01
00
10
10
00
00
10
10
10
00
10
01
00
00
11
10
00
10
00
01
01
10
10
00
01
01
00
01
11
10
00
01
01
11
10
00
01
00
01
10
01
10
10
00
00
10
10
00
10
01
00
00
10
11
01
10
00
01
10
01
00
10
00
11
10
11
10
00
00
00
11
00
11
11
10
10
10
10
00
01
10
11
00
10
01
11
00
00
00
01
00
01
01
10
11
00
00
10
10
00
10
00
00
00
00
00
10
00
10
00
01
10
01
10
01
11
00
10
00
11
11
00
10
01
01
11
01
01
10
11
10
00
00
11
10
00
11
11
10
10
10
00
00
01
00
10
00
10
01
11
00
00
10
00
01
10
00
11
11
01
00
11
10
10
11
00
01
11
11
00
00
00
00
10
10
10
00
00
10
11
11
10
01
01
00
10
10
00
00
10
10
10
11
10
11
00
00
11
00
00
11
10
10
00
00
10
11
00
00
10
01
00
00
10
00
00
10
00
00
00
10
10
10
01
01
01
00
10
11
10
11
10
10
10
01
10
10
10
00
00
01
00
11
10
00
11
00
01
00
10
10
10
01
01
11
10
01
01
10
10
10
10
00
01
00
10
00
11
10
00
10
00
10
10
11
10
10
00
00
01
10
01
00
10
00
10
11
11
10
10
10
01
10
10
10
00
00
10
01
01
10
00
00
10
10
00
00
00
01
10
11
00
10
10
00
01
10
10
00
00
10
10
00
10
11
01
01
00
10
01
01
10
00
00
11
11
00
11
00
10
01
01
10
00
00
11
10
10
00
10
01
01
00
10
00
10
10
10
11
00
10
11
01
00
00
01
10
11
11
00
10
10
10
11
00
00
11
10
10
00
10
11
01
10
00
00
10
00
00
11
00
10
00
01
00
01
10
00
01
00
00
10
01
01
10
11
11
01
00
10
00
00
10
10
10
00
00
00
10
01
11
10
00
10
00
00
00
10
11
11
01
01
10
00
01
10
00
11
10
01
11
01
00
10
10
10
11
11
01
01
10
10
00
01
11
01
01
10
10
10
10
10
10
11
00
01
11
00
00
10
10
00
11
01
01
10
11
10
10
11
10
11
00
00
00
00
00
11
01
00
00
00
00
10
01
10
11
00
00
11
01
11
00
01
10
00
00
01
10
10
10
01
11
11
01
00
00
10
01
01
00
11
01
01
11
11
10
00
00
11
10
01
01
10
10
10
11
10
11
00
00
10
10
10
01
00
11
10
00
00
11
10
00
10
11
00
10
01
01
10
10
10
00
11
11
10
01
01
00
00
10
00
00
11
00
00
10
10
10
10
00
10
10
01
00
11
00
00
11
00
01
01
10
10
00
11
00
10
10
00
11
00
10
11
00
00
10
00
00
01
10
00
11
10
01
01
10
00
11
00
10
11
01
11
11
10
11
10
10
10
00
01
10
10
01
10
01
00
11
10
10
11
00
01
10
11
00
00
01
10
00
00
11
10
10
00
10
00
10
10
00
00
01
10
00
10
10
01
11
00
00
10
10
11
00
00
11
00
10
11
01
00
01
11
11
10
10
10
01
00
10
01
01
00
00
10
01
10
10
01
00
11
00
00
10
00
11
00
11
00
00
00
01
10
00
01
11
10
11
10
01
11
01
11
10
00
10
00
10
00
00
10
01
10
00
10
00
10
00
10
11
00
10
00
10
01
10
00
00
11
00
10
11
10
00
00
00
00
10
00
11
10
01
10
10
01
10
00
11
01
00
10
10
01
10
10
11
00
01
10
00
11
10
11
01
11
00
10
10
01
00
01
01
10
10
00
10
00
00
10
01
10
00
11
00
00
10
01
01
10
11
11
10
01
10
11
10
10
00
10
01
11
00
00
10
00
01
00
10
10
10
00
01
00
10
00
11
00
01
10
00
10
00
01
00
00
11
00
00
11
00
00
00
10
10
11
11
01
00
10
00
10
11
10
00
11
00
10
00
00
10
01
10
01
00
00
10
10
11
00
10
10
10
00
00
01
11
00
10
01
00
11
11
00
00
00
10
00
01
10
00
00
10
10
01
11
00
10
11
00
11
00
11
10
11
11
01
01
10
11
00
11
01
01
10
11
10
10
11
00
01
10
01
00
01
00
00
10
10
11
00
00
11
00
00
11
10
10
00
11
00
00
10
00
10
00
00
11
00
00
10
11
00
00
00
10
00
00
00
10
10
10
10
10
10
01
10
01
00
10
11
10
10
10
00
00
11
00
01
10
10
11
00
00
10
10
00
00
10
10
10
01
00
10
11
10
00
10
10
00
01
10
10
00
00
01
00
00
10
10
11
10
00
01
10
00
00
01
00
00
01
10
00
00
00
10
00
11
00
10
00
00
10
10
00
00
01
11
11
10
10
11
00
11
10
10
00
00
01
01
10
11
11
10
01
10
10
01
01
10
10
10
00
01
01
01
11
11
10
00
00
00
00
10
10
00
00
01
11
10
10
00
11
00
11
10
10
00
01
10
10
10
00
00
00
01
01
10
10
11
11
00
00
00
10
00
01
00
11
00
10
11
11
10
00
10
00
10
00
10
10
00
10
11
10
00
10
10
10
10
01
00
11
01
00
10
10
10
01
11
10
00
10
00
11
00
00
01
00
10
01
10
10
10
01
10
11
01
00
00
11
10
00
01
11
11
10
10
00
00
11
01
11
11
00
01
11
10
10
00
00
11
10
01
10
01
00
11
00
00
10
11
11
01
00
10
10
00
00
11
11
11
00
11
00
10
11
01
00
10
10
01
00
00
10
00
11
11
00
10
10
01
01
00
10
11
00
00
01
00
00
10
10
00
10
00
11
11
11
00
00
00
11
10
01
10
11
10
10
00
00
01
11
00
01
01
10
11
11
00
10
01
00
10
00
01
10
11
00
10
10
00
00
00
00
10
00
00
10
10
01
00
00
01
11
10
10
11
01
00
10
10
10
01
01
10
00
10
11
10
00
00
01
00
10
10
11
00
00
01
00
10
11
00
00
00
11
10
10
01
00
00
10
10
11
10
00
01
00
10
00
11
10
10
00
01
10
00
00
10
10
01
00
01
11
01
10
10
00
00
00
01
10
11
10
01
01
11
11
01
11
00
00
10
00
00
11
10
00
11
00
10
11
00
01
00
10
11
10
10
01
11
10
11
11
00
00
11
00
00
10
00
10
11
10
01
10
00
00
01
01
10
01
01
10
00
00
10
10
10
00
01
00
11
10
00
10
10
10
01
10
11
10
01
01
01
10
01
11
01
11
10
10
00
00
10
10
10
00
10
00
00
00
01
10
00
00
00
00
10
10
10
01
00
10
10
10
10
10
10
01
00
01
00
10
00
01
10
01
10
10
00
10
01
00
11
00
00
10
10
01
00
00
00
10
10
10
00
11
01
00
11
00
11
10
11
01
11
10
10
00
10
11
01
11
00
11
10
10
11
10
00
00
10
00
10
11
10
10
00
10
10
00
10
10
00
00
10
00
00
10
11
01
11
00
01
11
00
00
11
00
10
10
00
10
00
00
10
01
00
10
00
10
11
00
00
10
01
00
01
00
00
01
10
10
10
11
01
01
10
00
11
11
10
10
10
10
01
00
00
01
00
10
11
00
00
10
00
01
11
10
10
01
01
00
00
10
10
00
00
01
11
11
00
00
10
00
10
01
01
10
00
00
00
00
11
00
00
10
00
10
01
01
11
11
00
00
01
10
00
01
10
00
11
01
10
10
11
01
10
01
00
10
01
00
11
10
10
10
11
00
00
10
10
00
01
00
10
10
01
00
11
01
01
00
11
00
01
01
10
10
00
10
11
01
00
00
10
00
10
10
01
10
00
01
11
01
10
11
01
10
10
10
10
01
01
10
10
10
00
10
11
01
00
00
11
01
10
00
11
10
11
01
00
01
00
11
10
01
00
11
10
00
00
10
00
10
10
01
11
10
11
10
01
11
00
10
00
01
10
10
00
10
01
11
00
10
00
00
10
11
10
00
00
10
10
01
01
00
01
00
11
11
00
10
01
01
11
00
00
00
00
00
00
11
10
00
10
00
10
10
10
10
10
01
10
10
00
00
10
00
00
10
00
00
00
11
10
00
00
00
10
01
00
10
00
01
00
00
10
10
10
10
11
01
10
01
10
11
00
01
11
00
11
10
10
10
11
00
00
01
10
00
10
00
11
10
00
00
00
10
10
10
00
00
00
00
11
10
11
00
00
10
10
10
10
00
01
00
10
00
01
10
01
11
00
00
10
10
00
01
10
10
01
00
10
00
11
10
00
00
00
01
00
00
11
00
10
10
01
00
10
01
10
10
00
10
11
10
00
10
10
00
11
00
01
01
01
11
11
10
10
00
00
11
10
00
00
00
11
00
00
11
10
10
00
10
00
11
11
11
01
01
10
00
00
11
00
00
10
00
01
00
01
01
10
10
00
00
11
10
00
01
10
00
10
11
00
10
00
00
10
10
11
01
00
01
00
11
00
00
10
10
11
00
00
10
11
00
00
00
11
01
11
00
10
01
10
00
01
01
10
11
00
10
00
01
11
10
10
00
10
10
00
00
10
11
00
10
00
11
10
01
10
11
00
11
00
01
00
10
11
00
00
10
11
00
10
10
10
01
00
00
01
11
10
10
01
10
11
01
01
10
01
10
00
10
10
00
10
10
00
00
11
00
11
01
00
10
10
10
10
00
00
10
10
10
10
10
11
00
00
11
10
00
10
10
01
11
10
10
00
01
10
00
10
10
11
00
00
10
10
00
01
10
01
00
11
00
10
00
10
10
00
01
10
10
00
00
10
01
11
10
00
11
00
10
01
00
01
00
00
00
01
10
11
10
00
01
10
11
10
11
01
01
10
00
01
10
00
01
01
10
10
00
11
00
01
10
01
01
00
11
10
00
01
00
00
01
10
10
00
00
00
10
01
00
00
01
00
10
00
10
00
10
11
01
00
10
11
00
00
01
01
00
10
10
01
00
01
00
10
10
00
00
00
01
10
00
11
00
11
10
00
10
00
10
00
01
11
10
00
00
10
11
00
00
11
10
01
10
11
00
11
00
01
01
11
10
10
10
00
01
10
10
11
01
00
10
00
10
00
11
10
00
11
10
11
10
00
00
00
10
10
11
01
00
10
00
10
00
10
00
00
00
11
01
10
01
00
01
00
01
10
11
00
01
10
10
01
00
00
10
00
00
10
10
10
01
11
00
00
10
00
00
00
10
10
10
00
01
00
01
10
11
01
00
11
10
00
10
10
00
10
00
01
10
11
10
11
10
11
01
00
00
10
10
01
00
10
10
00
10
00
10
00
10
10
11
00
01
10
10
01
00
11
10
10
00
01
01
00
10
00
00
00
11
10
10
11
11
01
01
01
10
00
11
10
01
00
11
01
01
00
11
00
01
10
00
00
11
11
00
00
10
00
10
10
00
00
00
00
10
10
00
11
01
11
00
01
10
01
00
10
00
01
10
00
11
11
10
00
00
01
00
10
10
00
00
00
10
10
00
10
10
10
00
10
10
00
10
11
01
11
11
01
10
01
01
10
10
00
00
11
10
01
10
00
00
11
01
10
11
10
10
00
10
11
10
00
00
01
00
00
11
10
00
10
10
01
00
11
10
10
00
10
10
11
00
01
10
00
01
01
11
11
01
01
10
01
10
10
01
01
11
00
00
11
00
10
11
00
01
00
01
00
00
11
10
00
11
01
10
11
01
10
00
00
10
10
00
00
00
10
00
10
01
00
10
01
10
00
10
01
10
00
00
00
11
00
00
01
00
10
00
00
11
10
00
01
00
01
10
10
10
01
10
11
00
10
10
01
10
01
00
10
00
00
10
10
11
01
10
01
00
11
10
00
01
11
01
01
00
10
10
01
10
10
01
00
01
01
01
10
11
00
10
10
10
01
00
00
10
10
11
10
00
10
10
10
10
00
00
11
11
11
00
10
00
01
10
00
10
10
01
10
10
01
01
01
10
01
00
11
00
00
11
00
10
10
11
11
10
10
10
00
00
00
10
11
10
01
10
10
00
00
00
01
01
11
11
11
00
11
10
11
00
10
00
00
00
11
10
00
10
10
11
11
01
01
00
11
10
00
11
10
00
10
10
01
01
01
00
00
11
00
11
00
00
11
10
01
00
11
11
01
01
11
10
00
11
10
10
00
00
10
01
10
10
10
10
10
00
11
10
10
10
10
00
00
01
10
00
11
10
00
10
01
11
00
11
10
11
01
00
01
00
10
10
10
00
01
11
10
01
11
01
00
11
00
01
11
00
01
00
11
11
10
01
00
00
10
10
00
00
11
00
01
00
11
00
10
11
00
11
11
11
00
10
00
00
01
10
11
00
00
00
00
00
10
11
00
00
10
11
00
00
11
10
11
10
00
00
00
00
11
10
00
00
10
00
10
00
10
11
10
10
11
00
10
00
11
11
10
00
10
11
10
11
01
00
10
00
10
11
00
11
01
01
00
01
00
10
00
00
10
10
01
00
10
10
00
00
10
00
10
10
11
00
10
01
10
10
00
10
00
11
01
11
10
11
00
00
10
10
00
00
10
00
01
00
10
00
10
11
10
00
00
11
00
10
11
01
10
11
00
00
00
10
01
11
00
00
10
10
00
00
10
01
10
11
01
01
10
00
01
00
10
10
00
00
10
11
10
01
00
11
11
10
01
11
00
11
01
01
10
10
10
10
10
01
00
00
10
01
00
00
11
01
10
10
10
10
01
10
10
00
00
00
11
00
11
00
01
10
00
00
10
00
11
00
00
00
10
10
10
00
01
00
10
10
00
10
10
01
00
01
10
01
00
10
00
10
10
01
01
01
11
11
00
00
10
10
10
00
10
11
11
00
00
10
00
00
10
10
00
01
10
00
10
00
00
11
11
00
00
10
11
10
11
00
00
11
00
10
10
01
00
10
11
00
00
01
11
10
11
11
11
00
01
11
01
00
10
10
00
00
01
10
10
10
10
00
10
10
11
10
10
00
11
10
00
10
11
00
00
10
00
00
10
00
00
01
00
10
00
00
01
00
11
10
00
00
00
10
01
00
11
00
00
10
10
01
01
01
11
10
10
00
01
00
10
11
00
10
10
10
00
10
01
01
01
10
11
10
00
10
10
10
10
00
00
10
01
00
11
10
01
10
10
00
01
00
11
10
00
11
11
01
10
11
00
00
00
11
11
10
00
01
01
11
11
00
01
10
10
10
10
01
00
11
11
10
11
00
10
10
10
00
00
10
11
01
00
11
00
10
00
00
11
00
10
10
01
10
11
01
01
00
01
00
01
10
11
11
01
00
11
00
01
11
10
10
10
11
10
00
00
00
11
00
10
11
11
00
10
11
10
00
10
00
01
00
10
10
00
00
10
00
01
01
10
00
10
00
11
00
10
10
10
01
10
10
00
10
11
11
00
10
01
01
10
10
01
00
10
10
00
00
00
10
10
00
10
10
10
00
01
10
11
01
00
01
01
11
00
01
10
11
10
01
00
10
10
00
11
11
01
00
10
11
11
01
00
10
10
00
00
01
01
11
10
00
11
00
10
00
01
00
10
10
10
00
11
00
10
00
00
11
00
10
10
00
01
10
10
00
10
00
11
00
00
10
00
11
10
01
10
01
10
11
10
01
01
10
11
00
01
01
10
11
11
00
00
10
00
11
11
10
01
00
10
10
10
00
10
10
00
00
10
00
00
00
00
01
01
00
01
10
11
10
10
00
00
10
10
00
00
10
11
10
00
00
10
00
00
10
10
01
00
01
11
00
10
10
00
10
10
00
10
01
00
10
01
10
00
11
10
10
11
00
11
00
10
00
00
00
11
10
00
11
00
10
01
10
00
01
11
00
11
11
00
00
10
10
10
01
11
10
10
10
11
00
01
00
01
10
10
01
10
01
01
10
00
01
10
10
00
01
11
10
00
00
11
10
01
10
00
00
10
10
11
10
01
01
10
10
00
11
10
10
00
00
01
10
10
00
01
10
11
11
10
11
11
11
10
00
01
00
10
10
10
00
01
10
00
11
10
00
00
00
10
10
00
10
11
10
10
00
11
00
10
10
10
01
11
00
01
11
00
00
10
00
10
10
00
10
10
10
01
00
10
00
10
11
00
11
00
01
00
00
00
00
01
10
10
00
10
10
01
10
10
01
00
00
00
10
10
10
00
00
10
01
10
01
11
11
00
01
00
10
00
01
10
01
00
11
10
00
00
10
10
01
00
11
10
10
00
00
00
11
01
00
11
00
10
01
10
10
11
00
00
01
00
01
00
01
10
10
00
01
00
10
10
01
01
10
11
00
00
10
11
00
00
10
10
10
11
11
01
10
10
00
10
00
10
10
00
00
10
01
00
00
01
00
00
00
10
00
10
00
00
00
10
01
11
10
10
00
00
10
10
00
10
11
00
00
01
11
00
11
10
11
01
11
00
00
00
10
10
10
01
00
00
00
00
10
01
11
10
01
11
10
00
01
00
10
00
00
10
00
00
10
00
10
00
11
10
01
10
00
00
00
00
01
01
00
10
00
00
00
11
00
10
11
00
10
10
01
00
11
01
00
01
11
11
00
00
10
10
00
00
10
10
10
01
11
00
01
10
11
10
11
10
00
00
00
10
10
11
00
11
01
10
00
11
10
10
00
10
10
01
01
01
10
10
10
10
10
00
00
10
11
11
11
00
00
11
11
10
01
00
10
11
01
10
11
00
00
10
00
00
00
00
10
10
00
10
10
01
01
00
11
00
11
11
10
11
00
00
10
11
00
00
00
11
11
11
01
10
00
01
10
10
10
01
00
10
10
00
10
00
01
00
10
00
00
11
00
01
10
01
01
10
10
00
01
10
01
01
00
01
10
00
11
10
01
00
01
10
11
11
00
10
10
01
10
10
00
00
10
10
00
11
10
01
11
11
10
00
10
10
00
00
10
00
00
11
00
00
01
11
10
10
00
10
00
00
10
00
01
00
00
10
10
00
01
00
00
01
00
10
00
01
10
11
01
01
10
11
10
11
10
01
01
11
10
00
00
10
01
10
00
11
10
00
01
11
00
10
11
10
00
10
01
00
10
11
11
10
00
10
11
00
10
01
10
01
01
00
00
11
10
10
00
10
11
01
01
10
01
10
11
00
00
01
11
00
01
11
11
00
10
01
11
10
00
00
00
00
11
10
10
10
00
01
01
00
11
00
11
10
00
00
11
10
01
10
11
01
01
10
10
00
00
01
01
00
10
10
00
01
00
10
10
01
01
11
10
00
10
00
01
11
01
10
11
11
00
11
10
00
00
00
00
00
00
10
10
00
11
10
11
10
10
11
00
00
01
11
11
00
10
10
00
01
10
10
11
01
01
00
00
10
01
10
10
01
00
10
11
10
00
10
10
00
01
10
10
10
10
00
10
11
00
00
11
11
00
00
11
11
10
11
00
10
10
11
00
11
10
00
10
10
00
11
10
00
11
10
00
10
10
10
01
00
00
00
11
11
01
11
00
00
00
01
11
00
10
10
11
10
10
11
00
01
00
00
01
11
10
01
10
00
00
00
10
11
00
01
10
10
01
00
00
11
10
01
01
00
10
10
10
11
10
00
01
10
00
11
11
00
00
00
00
01
10
10
00
01
00
00
10
00
01
11
10
11
00
01
10
00
00
10
10
10
00
10
11
01
01
10
01
00
10
01
00
11
10
01
01
10
11
10
01
01
10
00
10
01
00
10
11
10
10
00
10
01
10
00
10
00
01
10
11
11
10
10
11
11
01
11
00
00
00
10
11
10
10
01
00
10
00
00
10
10
10
10
00
00
11
01
00
00
10
00
10
10
00
00
11
10
11
00
10
10
10
00
00
00
11
10
01
10
01
00
00
01
00
01
11
01
00
10
10
10
00
10
00
00
00
00
00
00
11
10
11
10
10
00
00
01
10
10
00
00
11
00
01
01
10
00
10
11
00
00
11
00
10
01
11
10
11
10
01
01
10
10
10
10
10
11
00
00
11
01
10
01
00
00
11
10
10
11
10
00
00
11
00
01
00
01
10
01
00
10
11
10
11
10
01
00
10
10
11
00
01
00
10
11
00
10
00
01
10
11
00
10
01
01
11
11
10
00
10
11
10
00
10
11
00
00
10
00
01
11
00
00
00
10
01
00
01
10
10
00
00
00
10
00
00
00
10
11
00
11
10
00
11
10
00
01
00
00
01
10
11
00
00
11
10
00
01
11
11
00
11
01
01
01
00
10
10
01
00
00
10
10
10
10
01
10
11
10
10
00
01
00
00
11
10
10
11
11
11
11
01
00
11
00
10
11
00
00
10
10
10
01
10
10
01
10
01
00
10
10
00
00
10
00
00
10
10
11
00
00
00
01
11
01
10
10
11
00
01
00
01
10
00
00
10
10
10
00
00
01
10
10
00
11
01
10
11
00
00
11
00
10
00
00
10
10
10
01
10
11
01
00
10
10
10
10
01
00
10
11
10
10
11
00
00
00
01
01
11
11
11
00
01
10
10
00
01
11
11
10
10
10
11
00
00
10
11
11
01
01
00
10
10
11
00
10
00
00
11
00
00
00
10
00
10
01
11
10
00
11
10
10
00
00
00
11
00
01
00
01
10
01
00
10
01
00
11
10
00
00
11
10
00
00
11
11
00
01
10
10
10
01
01
10
01
00
00
10
11
00
10
10
00
10
00
00
11
00
00
11
01
11
01
01
00
10
11
00
00
10
10
01
01
10
11
11
11
01
10
10
01
10
10
00
00
01
00
00
10
10
00
00
00
10
00
01
10
10
00
00
10
11
01
00
10
10
10
10
00
00
00
10
11
00
00
10
00
01
00
00
10
10
11
11
00
11
10
10
00
11
11
00
00
10
10
00
11
11
01
10
10
01
01
11
10
10
00
10
00
00
10
11
00
11
00
01
01
00
11
00
10
10
10
01
00
10
10
10
11
01
00
00
10
11
10
11
00
00
10
10
01
01
11
10
10
00
01
00
01
10
11
00
00
00
00
00
10
01
00
10
10
00
00
00
00
11
10
00
10
10
01
01
00
01
10
10
00
00
11
00
10
10
11
01
00
00
11
10
00
11
00
00
00
10
10
11
10
00
11
00
00
00
10
10
11
10
10
00
01
01
10
10
00
11
00
10
10
10
00
10
10
00
11
10
10
11
10
00
10
10
01
00
10
10
10
00
00
01
00
10
10
00
10
11
10
00
10
11
10
01
10
11
00
01
01
01
01
10
10
01
00
10
10
00
01
10
10
00
10
11
01
00
11
00
11
10
00
00
10
00
00
00
01
11
11
00
10
00
00
11
10
01
01
10
10
10
00
00
01
01
11
10
11
11
01
00
11
10
00
11
10
00
01
10
10
10
00
00
10
10
10
00
00
11
00
01
10
00
10
00
01
10
01
01
01
10
00
00
00
10
10
00
10
10
00
11
10
01
10
00
10
10
01
11
01
01
10
01
00
00
10
10
01
10
10
00
00
00
10
00
11
10
10
10
01
00
01
11
10
00
00
00
10
00
00
00
10
10
01
01
00
10
10
10
10
11
10
10
00
10
01
00
10
00
00
10
10
00
10
11
10
10
10
00
00
01
00
10
00
01
10
10
01
00
10
11
00
11
00
00
10
10
10
10
00
01
10
00
00
01
01
11
10
00
00
11
11
11
10
00
00
10
00
01
00
11
11
10
00
00
11
11
10
00
00
00
10
11
01
11
10
01
00
10
11
01
10
01
10
10
10
11
00
00
01
00
10
00
01
10
11
11
11
10
11
10
10
00
00
11
11
00
01
00
10
00
00
10
00
00
10
00
10
10
10
01
00
00
11
10
00
00
00
00
10
10
01
10
10
11
11
01
00
11
10
10
00
10
00
00
00
10
10
10
00
10
10
11
11
00
01
00
00
00
00
10
00
10
11
00
00
01
00
00
11
10
00
00
11
00
10
10
11
10
01
10
01
00
10
11
10
01
00
11
10
01
00
11
11
00
11
10
10
01
00
10
10
01
00
11
00
00
11
01
10
10
01
01
00
10
00
10
10
00
00
00
10
10
00
00
01
11
11
00
10
00
00
00
10
10
01
10
11
11
00
10
10
01
10
11
00
01
00
00
11
10
10
00
01
10
00
00
10
00
00
01
10
10
10
10
10
01
10
00
00
10
00
10
10
00
00
10
10
11
00
10
10
01
00
10
11
11
10
01
10
01
11
00
00
11
10
00
01
10
10
01
10
00
10
11
01
00
00
10
00
01
00
11
00
00
10
00
00
10
10
01
00
10
10
01
00
01
01
10
01
10
11
00
10
11
00
00
11
10
11
10
10
00
10
00
00
00
00
00
11
10
00
10
01
10
10
10
00
11
10
11
10
00
11
00
01
00
10
10
10
10
00
01
10
10
00
00
11
00
00
10
00
00
10
00
00
11
11
10
11
00
10
10
00
00
00
01
10
00
01
01
11
00
01
00
01
00
00
01
10
00
10
11
01
00
01
01
01
11
10
10
10
10
10
00
11
11
00
01
01
00
11
10
11
01
10
11
00
00
00
00
11
00
01
00
00
01
11
10
01
01
10
11
00
10
00
10
10
01
01
00
10
10
01
01
00
10
11
11
00
01
01
01
01
10
01
00
01
10
10
11
11
00
01
00
00
00
10
01
10
11
00
11
10
10
00
10
01
00
01
11
10
11
00
00
10
00
00
10
11
01
00
10
10
01
00
01
10
10
00
00
11
10
00
00
10
11
10
11
11
11
00
00
00
00
01
10
11
00
01
10
10
10
01
10
10
10
01
11
00
00
00
01
10
00
00
10
00
00
11
00
10
01
10
10
10
10
01
11
11
00
10
10
00
01
10
01
01
00
00
10
10
10
10
11
00
10
10
10
10
00
11
00
10
11
11
01
10
10
00
10
11
11
00
00
01
00
00
10
00
01
10
10
10
10
01
01
00
00
00
01
10
00
00
00
00
10
00
10
10
11
10
10
10
00
00
00
10
11
01
11
01
11
00
00
10
10
10
00
00
00
01
10
10
01
01
01
01
00
10
00
00
11
01
01
10
10
10
10
10
00
00
11
00
00
00
00
01
10
01
10
11
01
10
10
00
10
11
10
01
01
01
00
10
00
01
10
10
11
01
10
10
00
00
10
10
10
00
00
00
00
00
11
00
01
00
11
11
11
00
10
01
11
00
01
10
10
00
10
11
10
11
10
11
00
00
00
00
00
00
01
11
00
00
10
00
10
11
00
00
10
00
10
10
10
11
00
10
11
00
10
00
01
01
11
10
11
10
00
00
01
10
00
11
11
00
10
00
10
10
00
10
00
11
10
01
10
10
10
00
01
11
00
00
01
00
01
01
00
01
10
11
01
01
10
10
00
00
00
11
00
11
00
00
00
00
10
01
00
11
00
00
10
10
00
10
00
00
00
10
10
11
00
00
00
00
00
10
00
11
00
00
11
01
01
00
10
00
00
10
11
01
00
11
10
01
10
00
01
11
10
00
00
10
10
00
10
11
01
10
00
10
00
01
00
10
01
10
00
00
10
00
01
01
10
11
11
00
00
01
10
01
11
11
01
01
10
10
10
01
10
10
10
00
11
01
00
10
01
11
11
10
01
10
00
00
11
01
10
10
01
10
00
00
10
00
01
01
01
00
10
10
01
10
00
10
10
10
10
01
10
00
01
00
11
01
01
11
00
11
01
00
10
00
00
10
10
00
00
01
10
10
11
00
11
10
10
00
10
00
00
10
10
01
10
00
10
00
10
00
00
00
10
10
11
00
01
00
11
00
10
10
11
01
01
00
10
01
10
00
10
01
01
10
11
10
11
10
10
00
00
10
11
01
10
00
00
10
00
01
10
00
00
01
11
10
00
10
00
10
11
00
00
10
10
00
11
10
01
11
10
10
10
10
00
00
00
10
11
10
11
10
00
10
01
10
00
10
01
10
10
10
10
11
00
10
10
10
10
11
11
01
10
00
01
00
00
00
10
10
00
11
10
11
00
10
10
00
00
00
10
10
11
10
01
11
11
10
00
00
00
01
10
01
10
10
11
00
11
11
00
01
11
01
01
11
10
10
10
00
00
11
10
01
01
00
01
00
00
10
01
00
10
10
10
01
00
11
10
10
11
11
01
00
11
00
00
10
01
01
11
00
00
01
01
11
10
00
00
00
10
01
00
10
10
11
10
00
10
10
00
11
10
01
11
01
11
11
10
00
00
00
11
11
00
10
11
00
10
01
11
00
00
10
10
00
00
00
10
11
10
10
00
10
10
00
10
00
11
10
00
00
01
00
00
10
11
10
01
00
10
10
00
11
10
11
00
10
10
00
10
00
10
10
00
00
10
10
00
10
10
01
11
01
01
01
01
11
11
10
10
11
11
00
01
00
01
00
10
10
10
01
00
11
11
11
10
10
10
00
01
11
00
00
00
11
10
10
11
10
10
10
00
00
00
01
01
10
10
11
10
00
11
00
10
10
10
10
10
10
10
10
10
10
01
00
01
11
00
10
10
00
00
00
11
10
10
00
10
01
11
00
01
00
10
10
00
00
10
01
00
10
11
00
10
00
10
01
10
10
10
01
00
00
00
11
10
01
11
00
10
11
10
00
10
01
01
01
10
10
11
10
00
00
11
11
00
10
10
00
01
11
00
01
00
01
11
11
00
11
01
01
10
10
00
00
00
11
10
10
10
10
11
00
00
11
00
11
11
00
00
10
11
10
00
01
10
01
10
00
00
10
10
00
10
10
00
11
01
10
01
00
10
10
10
00
10
10
10
01
01
11
00
00
01
00
01
10
01
00
01
10
01
00
10
00
10
10
10
01
01
00
00
10
10
10
01
00
11
10
10
11
00
10
10
10
11
10
00
01
00
10
00
10
01
11
01
00
11
00
10
01
01
10
10
00
01
10
10
10
10
00
11
00
00
00
10
01
00
10
11
10
00
00
10
10
01
10
10
00
01
00
11
01
10
11
00
00
01
00
11
10
10
00
00
01
10
11
01
10
10
10
00
10
01
00
11
10
00
00
11
00
00
00
10
10
10
10
00
01
10
11
00
01
10
01
00
01
00
00
00
10
00
01
01
11
11
10
00
10
01
00
01
10
10
10
00
00
01
00
11
10
00
10
10
00
01
11
10
00
01
10
11
00
00
10
00
00
10
00
10
01
01
11
01
10
10
10
00
10
10
11
01
00
00
10
11
10
01
01
10
00
00
00
10
00
01
11
01
10
01
00
00
01
01
00
00
11
11
01
00
11
10
11
10
00
01
11
10
01
01
10
11
10
01
01
10
00
10
10
00
10
10
01
10
11
11
11
10
10
10
10
00
01
11
01
00
01
01
00
01
00
00
10
01
00
10
00
01
10
10
00
00
00
10
10
01
00
11
10
01
10
11
00
00
10
10
10
01
01
10
01
00
01
11
10
01
00
00
10
10
00
01
00
00
10
00
00
10
00
10
10
10
00
01
11
00
10
01
11
00
00
00
11
10
00
10
00
01
10
11
00
10
00
00
10
10
00
00
10
11
10
00
00
00
11
10
10
10
00
00
00
00
11
01
00
01
00
11
11
00
10
10
01
01
00
11
10
00
01
00
01
11
10
00
10
11
01
10
11
10
00
00
10
00
00
01
11
11
11
10
11
00
00
10
10
01
10
10
00
11
00
10
00
01
10
00
00
10
11
11
11
10
10
01
01
00
11
01
00
11
11
10
01
00
10
10
00
00
00
10
01
00
10
01
10
01
00
10
01
00
00
00
00
10
10
00
00
10
10
00
00
10
00
10
10
00
00
10
11
00
00
00
01
01
01
11
01
00
10
00
00
10
10
10
00
01
01
00
10
00
10
00
00
10
10
10
00
10
00
11
10
01
01
10
00
00
01
00
11
11
00
00
10
11
11
10
10
00
01
11
10
00
10
10
10
10
01
00
01
10
10
00
00
01
10
11
01
10
11
10
00
01
00
10
10
00
01
01
11
00
00
11
00
00
11
10
01
10
01
00
11
10
11
00
10
00
00
00
10
00
01
10
00
10
01
00
01
01
10
00
10
10
00
11
11
01
00
10
10
10
00
00
10
10
11
00
00
11
00
00
01
00
10
00
00
01
10
10
10
00
01
01
00
10
00
00
00
01
10
10
10
01
01
11
01
01
01
11
01
11
10
00
00
10
10
00
01
10
00
00
11
10
11
00
01
11
00
00
11
10
00
11
10
00
10
00
00
11
10
00
11
10
10
11
11
01
00
11
10
00
11
00
11
10
11
11
00
01
11
00
00
00
10
11
00
00
01
11
11
10
01
10
10
01
00
11
10
00
01
10
10
01
10
11
10
01
10
11
10
00
10
11
01
01
00
01
11
10
01
10
10
10
10
00
10
01
00
11
00
11
10
10
10
10
11
00
10
11
10
01
00
01
01
00
10
10
10
11
00
00
10
00
10
10
01
01
10
11
01
01
00
01
00
10
10
00
11
10
00
00
00
11
10
01
00
10
11
01
10
10
10
00
11
00
10
00
00
00
10
00
10
00
00
10
00
10
10
00
11
00
10
10
10
00
00
00
10
11
01
11
01
00
10
10
00
01
10
00
11
00
01
10
11
11
10
11
00
10
10
00
01
00
11
11
01
00
00
10
10
11
00
10
10
01
11
00
10
00
10
11
00
01
10
00
00
01
10
00
00
11
00
01
10
01
10
10
10
11
00
01
10
00
11
10
10
10
11
11
11
11
01
00
10
11
10
11
01
00
11
00
10
00
00
00
10
10
11
01
00
01
10
00
01
01
11
00
10
00
00
00
11
10
11
00
00
01
00
01
00
11
00
00
11
01
01
11
00
01
10
01
00
10
10
10
00
00
10
10
11
00
00
00
00
00
10
11
10
11
01
10
10
00
00
10
10
00
10
10
01
11
11
10
00
11
11
00
10
11
01
00
00
01
11
10
11
00
00
10
01
10
00
10
10
00
11
11
00
10
10
01
00
10
00
11
11
11
10
00
00
10
10
00
10
01
00
01
10
00
11
10
11
10
10
00
00
11
00
00
10
00
01
01
10
10
01
00
00
10
00
00
10
10
10
10
00
00
00
10
00
00
10
10
11
11
00
00
00
10
10
00
11
11
11
01
00
10
00
10
10
01
10
01
01
11
01
11
10
10
10
00
10
10
00
00
10
11
00
01
00
10
01
01
01
10
00
10
00
10
00
11
10
01
00
10
10
00
00
11
01
00
11
11
01
00
10
11
00
10
10
10
00
10
10
10
01
00
00
00
11
10
10
00
10
10
00
11
01
01
01
10
00
10
10
01
11
11
00
11
01
10
10
01
10
00
00
11
01
01
00
11
10
11
10
01
00
00
10
10
10
00
00
10
00
01
10
00
00
01
11
10
10
01
11
01
01
00
00
10
01
00
10
10
00
00
11
00
00
10
11
01
01
10
00
00
00
10
10
01
00
11
11
11
10
10
01
11
11
01
10
10
00
00
00
00
10
10
11
11
10
01
10
00
00
10
11
00
01
01
00
00
01
01
11
11
01
01
10
11
00
10
10
00
01
10
11
00
00
00
00
01
00
11
11
10
10
00
01
10
00
00
10
10
10
11
00
10
00
00
10
00
00
00
10
10
00
00
10
10
01
10
01
10
00
01
00
00
10
00
10
11
00
10
11
11
00
10
01
11
10
01
00
01
00
00
10
10
00
11
01
00
10
11
10
10
01
10
10
10
01
01
01
00
11
00
01
00
01
10
11
10
00
00
10
11
01
10
11
10
00
00
00
00
01
10
10
00
11
00
00
00
00
10
10
10
11
00
10
00
01
10
01
00
00
00
10
00
00
10
10
10
10
00
00
01
11
00
00
01
01
10
11
10
00
10
00
01
10
00
00
11
11
10
10
00
10
10
00
11
01
00
00
11
11
00
00
11
10
00
10
11
01
10
11
00
00
10
10
10
10
11
01
10
10
00
00
10
00
00
10
10
10
10
01
00
11
11
00
01
01
10
11
11
00
01
01
10
00
01
10
00
10
01
10
10
00
00
10
10
01
10
00
00
10
01
10
00
10
10
01
01
00
11
11
00
01
11
11
11
00
01
10
10
11
01
01
11
00
01
10
11
00
00
10
10
00
10
01
01
11
10
00
00
10
10
00
11
10
10
10
00
00
00
10
10
10
01
10
11
10
11
00
11
10
00
00
10
11
00
00
10
10
00
01
10
11
10
01
00
00
00
00
10
11
11
11
00
00
10
10
01
10
01
00
10
11
00
00
10
11
00
10
00
00
10
01
11
10
01
11
10
00
10
10
01
10
11
00
11
00
10
11
01
11
10
00
00
10
00
00
10
10
00
10
00
10
00
00
11
10
00
00
11
10
01
01
10
00
00
10
00
01
01
01
01
10
11
00
11
10
10
01
00
10
10
10
11
10
01
01
00
10
10
00
10
10
00
10
00
11
10
00
00
10
10
00
01
00
00
10
11
10
10
01
00
01
10
11
01
10
00
10
10
01
11
10
11
01
00
00
10
10
01
01
10
00
00
10
01
00
01
10
10
11
00
00
00
00
10
11
10
00
01
10
00
01
10
10
10
10
01
00
10
10
10
00
00
10
01
00
00
00
10
10
10
10
01
10
01
11
11
01
00
00
11
00
01
10
00
00
10
10
00
00
10
00
01
11
00
01
00
11
10
01
10
11
10
00
00
00
10
11
11
00
01
00
00
00
10
11
10
00
00
01
10
00
10
01
00
10
10
11
10
01
00
11
10
11
10
00
10
10
00
01
10
10
10
11
10
10
10
01
00
00
10
00
01
11
10
01
01
11
01
00
00
00
10
11
10
00
00
11
10
01
10
10
10
00
01
01
00
10
10
00
00
00
10
10
00
10
01
11
10
01
10
10
01
00
01
10
11
00
00
11
00
00
01
10
10
10
10
01
00
01
10
00
10
11
00
00
10
10
00
00
00
00
01
11
00
00
10
10
00
01
10
11
00
00
01
00
00
00
11
10
01
00
01
00
10
01
10
11
10
01
00
11
00
10
11
00
10
00
00
10
10
01
10
11
10
11
10
01
01
10
11
11
11
11
00
00
10
10
00
00
10
10
00
11
11
01
10
00
00
10
10
00
00
10
01
00
00
00
10
00
00
01
11
11
00
00
00
01
01
01
01
10
10
10
00
00
10
00
01
01
00
10
00
01
10
00
10
11
00
01
00
00
11
10
10
10
01
00
00
10
00
00
00
10
01
01
00
11
11
00
11
00
11
11
00
10
11
00
01
00
11
00
11
10
11
10
00
00
10
10
00
00
11
10
00
01
11
10
10
00
00
11
00
00
10
10
00
00
10
00
11
00
10
11
10
10
01
00
01
10
10
10
00
00
10
10
00
00
10
10
00
11
10
01
11
01
10
10
10
00
11
10
00
01
00
00
01
11
11
01
10
10
01
10
00
00
11
10
01
01
00
00
00
00
00
10
10
11
11
11
11
11
01
10
01
10
00
00
00
01
11
00
10
00
00
10
10
00
10
10
11
11
10
01
00
10
11
10
00
00
11
11
00
01
01
11
11
10
00
00
00
11
11
01
00
10
00
00
01
00
11
10
11
10
00
10
11
10
10
11
01
10
10
01
00
01
11
00
11
11
10
10
10
11
00
01
10
00
11
11
01
00
00
10
01
00
10
10
00
10
01
00
11
00
01
00
01
11
11
00
10
01
00
00
10
11
00
10
10
00
01
00
00
10
00
10
10
00
00
11
10
00
01
00
00
10
00
00
11
00
10
11
00
01
10
00
10
10
11
10
00
00
11
00
00
00
00
10
10
00
01
01
01
01
00
00
11
11
01
10
10
00
00
01
10
11
01
01
00
11
11
00
01
00
11
11
10
01
10
11
00
11
10
10
00
10
10
01
00
11
00
01
10
00
00
00
00
11
00
11
10
10
00
11
11
00
01
00
11
00
00
00
10
01
10
00
00
10
01
11
11
01
01
11
11
00
00
10
11
00
11
11
01
00
10
10
00
00
10
11
10
11
01
01
11
10
00
10
00
00
10
10
11
11
01
00
11
11
10
11
10
00
00
11
10
00
00
10
01
11
10
10
10
00
00
01
00
00
00
00
00
10
10
11
10
00
10
11
01
10
10
10
11
00
10
10
10
01
10
00
00
00
10
11
00
10
01
00
01
11
01
01
01
00
00
10
10
10
00
00
11
10
00
00
11
00
11
10
00
01
01
10
10
01
11
10
10
00
01
00
10
00
10
11
10
11
11
00
10
10
10
10
00
00
11
00
11
01
10
01
00
00
00
00
10
10
10
00
00
10
10
01
11
10
10
01
00
11
10
10
11
10
00
10
00
00
01
10
11
00
01
00
01
01
10
01
10
00
00
10
00
01
10
10
00
01
00
10
11
00
10
00
10
00
10
11
10
00
10
00
11
10
00
00
00
00
10
00
01
10
10
00
01
10
10
11
10
01
10
11
01
10
01
10
10
01
00
01
11
10
00
00
00
00
11
11
01
00
00
11
10
11
00
00
11
10
00
00
11
10
10
11
00
00
00
00
10
01
00
10
01
10
11
01
00
01
10
10
01
00
10
10
10
00
11
10
10
01
00
00
00
10
01
01
10
00
11
11
10
11
10
01
10
10
10
10
01
01
10
11
00
00
10
10
11
01
00
11
10
00
11
10
00
00
01
01
10
00
01
00
10
00
11
10
00
11
11
00
10
00
00
00
10
10
00
11
10
00
01
11
00
00
11
11
00
10
00
01
10
10
10
10
00
00
10
10
00
11
00
00
10
00
00
10
11
01
00
00
11
10
10
11
00
00
00
11
11
01
00
10
00
10
01
10
10
11
00
00
11
01
00
00
11
10
10
00
00
10
10
00
10
00
00
10
10
00
10
00
11
10
01
00
10
11
10
10
10
00
01
11
10
00
10
00
10
10
10
10
00
10
00
10
00
00
10
00
00
00
11
01
10
01
00
00
00
11
10
10
10
01
01
11
10
01
10
00
11
01
00
10
01
00
11
10
00
01
11
11
00
00
10
10
10
11
10
11
00
01
00
01
00
10
10
00
00
01
11
10
11
10
00
00
11
10
10
10
00
10
01
11
10
11
00
11
10
10
00
00
10
10
00
00
10
11
00
10
11
00
00
10
00
10
10
00
11
10
00
10
10
00
10
11
00
01
10
11
10
10
00
01
10
11
00
10
00
00
00
10
11
00
00
10
00
11
01
10
01
10
11
11
00
00
10
00
10
10
00
01
11
10
01
00
01
01
01
10
00
01
11
10
00
00
10
10
00
10
00
00
10
10
00
00
00
01
10
10
10
10
00
11
01
10
01
11
11
00
00
00
01
10
11
01
11
00
00
10
10
11
01
01
10
10
11
01
11
10
00
00
10
11
10
11
00
00
11
10
00
10
00
11
00
11
10
11
01
00
00
10
10
10
10
01
10
00
11
00
01
00
10
11
01
00
10
11
00
01
10
01
10
10
00
00
10
10
01
00
11
11
11
10
11
10
00
00
10
10
00
00
10
01
11
10
10
11
00
00
10
11
00
10
11
00
10
00
10
11
10
00
01
10
10
00
01
10
10
00
01
10
00
11
10
00
00
00
11
11
00
01
00
00
00
10
10
10
00
01
00
10
01
01
11
11
11
00
10
01
01
10
10
00
00
10
00
00
11
10
00
10
01
01
10
01
10
00
00
10
11
00
00
10
10
01
10
10
00
00
11
00
10
00
10
00
00
11
00
10
01
10
10
01
00
10
11
00
00
11
00
11
00
01
00
00
11
10
10
01
11
10
11
00
10
11
01
10
00
10
10
00
00
10
10
00
00
00
10
01
00
10
00
11
10
00
00
10
00
00
01
01
10
00
11
11
11
00
01
01
11
01
00
10
10
10
00
00
10
01
01
00
11
11
10
00
00
00
10
10
01
01
11
11
00
00
00
11
00
01
11
10
11
11
00
00
11
10
00
00
11
00
11
10
11
01
01
00
01
00
11
00
01
10
10
00
00
11
10
10
01
00
10
00
00
10
10
00
00
10
00
00
00
01
10
10
01
11
10
10
10
01
01
00
00
01
11
11
10
00
11
00
01
11
10
10
10
10
01
00
11
00
01
10
00
10
10
10
00
10
11
00
00
10
00
10
11
00
01
00
10
11
00
10
10
00
01
10
10
11
11
00
00
00
11
00
01
10
10
00
00
11
10
00
00
01
11
10
10
11
10
00
10
10
00
00
00
00
00
10
10
00
11
10
11
11
10
01
11
11
00
11
10
10
00
10
00
00
11
10
10
10
00
00
00
10
00
00
10
00
11
10
11
00
10
10
10
10
00
00
00
01
10
11
11
10
10
10
00
01
00
10
00
00
10
00
11
00
00
10
01
00
10
00
00
10
00
01
00
00
00
10
00
01
10
01
01
10
00
00
00
11
10
00
00
10
11
00
11
10
10
10
10
10
00
10
10
10
00
10
11
01
00
10
00
00
00
11
11
00
00
10
01
00
00
01
10
10
10
11
10
00
10
00
10
00
01
00
01
01
00
01
10
11
10
00
11
00
11
01
01
10
00
00
01
01
11
00
00
11
00
10
10
00
00
00
01
00
01
00
10
00
00
10
10
11
01
11
00
11
10
10
10
00
00
10
10
01
10
10
11
01
10
10
10
00
10
00
00
10
10
10
00
01
00
10
01
10
10
10
10
10
01
01
10
10
00
11
11
00
00
01
10
11
10
10
10
00
11
00
01
11
11
01
10
01
00
11
10
01
00
10
10
01
10
11
10
01
11
11
00
01
10
11
10
10
01
10
01
10
10
00
00
11
00
01
10
01
01
00
10
00
00
10
00
00
10
11
10
00
01
00
10
11
01
11
10
11
10
00
10
00
01
10
10
00
00
11
11
01
10
11
01
10
01
10
00
00
10
10
01
00
10
11
00
11
00
00
10
00
11
10
01
00
11
10
01
01
10
01
00
00
10
01
10
01
10
11
00
00
10
10
00
10
11
00
10
01
00
01
00
10
10
11
00
00
11
00
00
01
10
10
00
10
00
10
10
11
11
00
10
00
00
00
01
00
00
11
10
10
10
01
11
10
00
00
10
11
00
11
11
00
00
00
00
00
10
10
10
10
01
10
10
00
00
10
11
01
00
01
10
00
10
10
10
10
11
01
10
11
00
10
11
00
11
00
00
00
10
10
00
10
11
01
11
00
00
00
01
00
10
10
00
01
10
01
00
00
10
11
10
10
10
10
11
00
01
10
10
10
00
10
01
00
11
01
10
01
10
10
10
01
00
11
00
00
11
10
01
10
11
01
00
00
10
01
11
11
00
10
10
01
10
10
00
01
10
10
01
00
10
00
10
00
11
10
00
00
01
00
10
11
00
00
10
11
01
00
01
10
11
10
10
00
10
10
11
00
01
10
00
01
10
10
01
00
11
00
11
11
00
00
10
10
10
11
00
00
11
10
00
10
01
00
10
10
10
01
01
00
10
10
00
10
10
10
01
01
01
10
00
11
01
10
10
01
00
00
00
10
11
10
11
00
00
00
00
01
00
00
10
10
10
10
01
10
10
00
00
11
11
10
00
00
10
00
10
10
00
01
11
11
10
10
00
00
00
01
11
11
01
00
10
10
11
10
01
01
10
10
01
10
10
10
00
00
11
10
00
10
11
01
00
01
11
10
00
10
11
10
11
01
10
10
01
00
11
10
00
00
00
10
10
00
10
01
01
10
00
10
10
01
11
11
00
00
00
11
10
01
10
10
00
01
01
00
11
10
01
01
10
01
00
10
10
10
00
00
10
10
11
00
00
10
10
00
10
11
00
10
11
11
10
01
10
00
00
00
00
11
10
00
00
10
10
01
10
11
00
01
11
11
01
10
10
01
01
10
10
01
00
11
10
00
01
11
01
11
11
00
10
10
00
11
10
00
10
10
01
10
10
00
00
00
10
11
00
00
00
10
00
10
10
00
00
11
10
10
10
01
11
00
11
10
01
00
01
00
00
11
10
01
10
11
10
01
00
10
11
01
11
11
00
01
10
00
00
00
10
11
00
01
11
00
10
00
11
11
00
01
00
10
00
10
10
00
00
10
10
00
11
11
11
00
00
10
00
01
10
00
00
00
11
10
11
10
10
00
11
10
00
11
11
01
01
10
00
00
00
10
10
00
01
11
10
00
00
00
00
01
00
01
10
00
11
11
00
01
01
10
10
00
10
01
00
10
11
00
00
00
00
10
10
00
00
00
11
00
10
00
11
01
10
01
00
00
01
00
10
00
10
01
11
00
10
01
01
10
10
10
11
11
00
00
10
11
01
00
00
10
00
11
10
11
10
00
00
10
11
01
10
00
00
10
10
01
10
10
00
00
01
01
00
00
01
10
10
01
10
00
00
00
00
11
00
00
00
01
11
10
01
10
11
00
10
00
10
10
00
10
00
01
10
10
01
00
00
10
10
00
00
01
10
00
00
01
11
01
11
11
10
11
10
10
10
00
10
00
00
01
01
11
11
10
01
00
11
01
01
00
11
10
00
00
10
11
00
01
11
10
01
00
01
10
00
11
10
10
10
00
00
00
00
10
00
00
10
10
10
00
00
10
01
10
00
00
11
11
10
00
10
00
10
10
00
10
10
10
01
00
00
10
11
10
10
01
00
10
11
01
00
01
10
00
10
00
01
10
10
00
10
10
11
10
01
00
00
11
00
00
00
01
10
11
10
00
00
00
01
10
10
00
00
01
10
10
10
00
00
01
00
11
00
00
01
00
11
10
00
01
10
11
11
10
00
00
00
00
10
10
00
00
11
01
01
00
11
10
11
10
11
01
01
00
10
10
11
00
01
10
00
01
01
10
01
01
10
00
00
10
10
00
00
10
00
00
10
10
00
01
00
00
00
00
10
11
01
11
11
11
10
10
01
01
11
10
00
00
11
10
11
00
00
10
01
10
00
10
10
10
01
11
01
01
00
11
10
00
00
10
11
11
11
01
01
00
10
10
11
00
00
10
11
00
00
00
10
01
10
10
00
10
00
10
00
00
01
01
01
01
01
10
10
00
00
10
11
01
00
10
10
10
10
00
01
00
10
01
11
01
01
10
10
01
10
00
10
10
01
00
10
01
00
10
10
10
10
00
11
10
10
10
11
10
00
00
10
01
10
10
00
10
10
01
11
00
10
00
10
10
00
10
10
00
10
01
00
01
01
11
11
00
11
00
00
11
10
10
01
11
10
00
00
00
10
11
01
11
01
10
11
00
00
10
11
00
00
00
10
10
10
00
00
10
11
00
00
00
00
11
10
10
00
00
10
01
10
11
01
00
00
10
10
00
01
11
10
11
00
10
11
10
00
00
10
10
00
00
00
00
11
01
00
00
00
10
10
10
01
00
11
11
10
00
01
10
00
11
10
01
11
01
00
00
11
10
11
01
11
10
10
11
00
00
10
11
01
00
11
01
10
00
00
00
11
00
00
10
10
11
01
10
10
11
01
00
01
00
01
10
00
10
10
10
11
11
01
01
00
10
11
10
00
10
11
00
01
11
11
10
00
10
01
00
11
00
10
10
00
10
10
00
00
11
10
10
00
10
01
00
00
00
00
11
11
00
00
10
10
00
11
10
10
00
10
00
10
00
01
00
00
10
00
00
00
10
10
11
10
01
10
10
00
10
10
00
00
10
10
00
10
01
10
11
00
00
00
11
01
00
01
11
01
00
01
00
11
10
00
10
00
01
10
10
10
11
00
10
00
00
00
00
10
10
11
10
00
01
00
01
00
11
10
00
11
10
00
01
10
01
10
10
10
01
10
10
01
00
00
01
00
10
01
00
10
11
00
00
00
00
11
11
01
10
10
11
10
11
00
01
10
00
10
11
11
00
10
01
00
11
11
00
11
00
00
10
00
01
01
00
10
11
01
01
00
10
01
01
00
10
11
10
00
10
00
00
10
11
00
10
00
01
10
00
10
00
11
00
11
10
10
00
11
00
01
00
11
00
01
00
10
10
00
10
10
10
01
11
01
00
00
11
10
01
00
00
10
10
11
10
11
00
00
10
10
00
10
01
00
00
11
00
00
00
11
11
00
01
10
11
01
00
01
00
10
10
01
00
11
10
10
11
10
01
01
11
11
10
10
00
01
10
01
00
00
10
11
00
01
10
11
01
10
10
11
10
00
10
10
00
10
10
10
10
01
10
01
11
10
00
01
00
01
00
10
01
01
10
11
01
00
10
10
01
10
11
00
00
00
10
00
11
00
00
11
10
10
00
01
11
00
00
10
00
01
00
01
01
00
10
01
11
11
10
00
00
00
00
01
10
10
00
00
10
10
01
00
10
10
10
10
10
01
00
10
10
00
10
10
00
00
00
11
00
00
00
01
10
00
10
10
00
00
00
10
01
01
11
10
00
10
00
10
10
10
00
01
10
00
00
11
01
10
10
01
00
10
11
10
10
10
01
00
10
11
01
01
10
00
01
10
10
01
11
10
10
00
01
00
00
10
10
00
00
10
00
00
10
00
10
00
10
00
01
10
10
10
11
10
00
10
00
00
11
11
10
00
10
00
10
10
01
00
10
10
00
00
00
11
01
10
01
00
10
11
11
00
00
10
10
10
10
10
01
11
11
00
00
11
11
10
00
00
11
11
10
00
00
00
00
01
00
00
11
00
11
11
00
01
00
00
00
01
11
11
10
01
00
00
11
10
11
00
10
10
00
11
00
11
10
11
01
00
10
11
00
11
00
01
10
10
10
01
10
11
01
00
11
00
10
10
01
00
10
11
01
01
10
00
00
11
10
10
10
00
01
10
11
00
01
10
10
10
00
10
00
11
10
01
10
10
10
10
11
11
00
00
11
00
00
10
10
11
10
00
00
01
10
00
10
10
11
00
11
10
10
00
00
00
01
10
10
00
00
00
11
10
00
00
10
10
10
10
10
10
00
10
10
01
00
10
00
10
11
00
10
11
10
00
10
00
01
10
00
10
00
11
00
01
10
11
10
01
00
00
00
11
10
00
10
00
10
01
00
10
10
00
10
11
00
01
11
10
10
11
01
00
10
01
10
11
00
10
11
00
10
10
00
01
11
00
00
01
10
00
11
10
10
01
00
10
10
00
10
00
10
00
10
10
10
00
10
00
11
00
00
00
10
10
00
11
00
01
11
11
01
00
00
10
00
00
11
11
01
01
10
11
10
10
00
01
10
10
00
01
00
11
00
01
00
11
10
00
01
11
10
01
11
10
00
10
01
10
00
01
10
00
11
11
01
11
00
01
10
11
10
11
00
01
10
00
11
01
10
10
10
00
10
11
10
00
01
10
10
10
00
00
00
10
00
10
01
00
01
01
11
11
00
00
10
10
00
11
10
00
00
00
11
11
00
00
00
10
00
00
11
10
10
00
01
00
01
00
11
10
00
00
10
10
00
10
11
10
00
11
10
10
00
00
01
11
01
01
01
00
11
10
10
10
00
11
00
00
10
10
00
11
00
00
10
10
00
11
01
10
11
00
00
10
00
00
01
10
10
10
00
01
10
10
00
00
11
10
00
10
10
11
00
11
00
11
10
10
11
01
10
00
10
11
00
00
00
10
10
11
01
01
01
11
00
11
10
11
11
01
00
10
00
10
10
00
00
10
10
00
10
00
11
10
01
10
00
00
01
11
11
01
00
10
00
11
11
00
01
10
10
11
00
01
11
11
10
00
00
11
00
00
00
10
10
01
00
00
00
11
01
00
10
00
01
10
00
01
00
10
10
00
10
10
00
11
01
11
10
00
00
00
11
10
10
00
10
10
00
10
11
00
00
00
11
10
11
10
10
10
00
00
11
11
00
01
00
10
11
00
01
00
00
10
10
10
00
10
10
10
11
00
00
00
01
11
01
00
10
11
01
11
00
00
11
11
00
01
10
10
00
01
00
01
10
11
00
10
11
01
10
10
10
01
00
01
11
00
11
10
00
00
00
11
10
00
01
00
00
00
00
01
00
10
10
00
00
10
10
00
11
11
00
00
10
10
01
10
00
00
00
00
11
01
01
10
00
01
01
10
10
00
00
11
10
10
11
10
01
01
01
01
00
10
10
01
00
10
11
00
00
00
00
10
10
11
10
10
10
10
00
01
11
10
00
01
11
11
11
10
10
01
01
01
00
00
11
11
10
10
10
00
01
10
00
00
11
01
00
01
10
11
10
01
00
00
11
10
01
00
10
10
10
01
01
10
11
00
10
10
10
01
10
11
00
11
10
00
00
11
00
01
00
10
11
01
01
00
10
10
00
01
10
01
00
11
10
01
11
10
10
00
01
10
10
00
11
10
01
11
00
10
10
11
00
10
11
00
01
10
00
01
00
10
10
10
00
01
00
10
00
11
01
00
00
11
10
11
11
00
00
00
00
01
10
10
10
00
00
10
00
01
11
10
01
11
11
10
10
10
00
10
10
10
00
00
01
10
11
11
00
10
00
01
10
00
01
00
01
10
01
10
00
10
10
11
01
01
10
01
01
10
00
01
10
10
00
00
10
11
10
10
00
00
01
00
00
10
10
01
10
01
00
10
11
01
11
00
10
10
10
10
00
11
10
11
00
01
10
10
00
00
11
11
10
00
00
10
00
00
00
00
10
11
01
10
00
00
00
00
10
00
10
10
10
00
10
01
10
00
10
10
10
11
00
10
00
11
00
00
10
01
00
01
00
10
00
01
00
10
11
00
00
11
11
00
10
11
00
10
11
11
00
00
10
10
10
10
11
00
10
00
01
00
11
01
01
01
10
11
10
10
00
10
00
00
10
10
11
00
01
10
10
11
10
11
11
00
01
00
10
11
11
00
00
10
11
10
10
10
01
00
00
10
10
01
10
01
10
00
00
01
00
11
11
01
00
01
11
10
10
10
00
00
10
10
10
00
11
10
11
11
00
10
11
00
01
11
10
10
10
01
00
00
11
11
01
10
00
01
10
10
00
11
11
10
10
01
01
10
00
10
10
10
01
01
01
10
11
10
10
00
10
10
00
10
10
10
11
00
10
10
00
01
10
00
00
10
01
00
00
10
10
10
10
00
00
11
01
11
00
10
00
00
10
00
10
10
00
01
00
00
00
00
10
10
00
01
00
01
01
11
11
00
11
00
00
11
10
01
00
10
11
10
00
00
00
11
10
10
01
10
11
10
00
10
10
00
00
10
11
00
00
01
00
10
01
10
10
10
10
10
10
10
00
11
10
00
11
01
11
10
00
01
11
10
00
00
10
01
10
01
01
00
01
10
00
10
00
00
11
10
00
01
11
00
00
10
10
01
10
11
00
10
11
11
10
10
00
00
00
01
10
10
10
11
00
11
00
11
10
11
01
00
01
11
10
00
00
11
00
11
10
11
11
01
11
00
11
11
00
00
00
10
11
01
00
00
11
00
10
10
11
00
10
00
00
10
10
11
01
11
00
11
10
10
00
00
01
10
00
00
00
00
00
10
10
11
10
01
00
01
10
10
11
00
01
11
00
01
00
01
10
10
11
10
00
10
10
00
10
10
01
00
10
01
10
11
10
00
11
00
00
10
00
01
10
10
00
01
00
10
00
00
00
10
00
10
00
00
10
01
00
10
00
00
00
00
10
01
10
10
01
10
11
10
10
11
01
00
10
10
00
10
00
00
10
00
10
00
10
10
00
01
10
10
10
10
01
10
11
10
00
00
00
10
10
00
00
01
10
10
00
00
01
11
00
01
01
11
10
10
00
11
11
00
11
00
01
00
00
11
10
01
10
10
00
11
00
00
11
10
10
01
00
00
00
10
11
11
10
11
01
00
10
10
00
00
10
11
11
00
00
00
01
10
11
11
00
10
00
00
10
10
01
01
11
11
10
01
11
00
10
10
00
10
00
00
10
11
10
01
11
11
10
01
10
01
10
01
10
10
10
01
01
11
00
00
00
00
00
10
11
00
00
11
11
00
01
10
11
10
01
00
00
10
01
11
11
00
01
10
10
00
00
10
10
10
01
10
01
10
00
00
00
10
10
00
01
01
10
00
10
00
10
00
01
11
10
00
00
01
00
01
10
10
01
10
10
00
11
00
10
11
01
10
01
11
10
11
10
00
00
10
10
01
11
11
10
01
10
11
00
00
10
11
00
01
01
01
01
00
00
00
01
11
10
00
00
11
10
00
00
10
10
01
00
00
10
00
10
01
01
11
10
00
10
10
00
00
01
10
11
00
11
01
01
11
00
00
10
10
00
01
10
10
00
00
00
00
00
10
11
00
11
10
00
01
10
00
00
00
10
01
00
10
01
11
00
11
01
11
11
01
00
00
00
00
10
10
00
01
00
10
00
00
10
10
10
10
00
00
00
00
11
00
00
00
00
10
10
00
00
11
10
00
00
10
10
00
00
10
10
10
11
00
11
01
10
01
00
11
00
11
11
01
00
11
01
01
10
11
11
11
00
10
10
00
00
00
11
10
10
10
00
01
10
10
10
01
10
10
11
00
01
00
00
10
10
10
01
10
01
10
10
11
10
10
10
01
01
00
00
00
00
11
01
11
10
00
00
10
01
10
10
01
01
11
11
10
01
00
11
10
10
00
01
01
10
10
01
10
01
01
10
00
10
00
00
01
11
00
10
10
10
01
10
10
00
00
11
10
10
00
11
00
10
10
11
01
10
10
00
10
10
00
01
10
11
00
10
00
10
00
11
00
00
00
01
11
00
01
10
00
00
01
01
01
10
11
00
00
10
00
10
10
00
11
01
00
10
10
10
10
10
11
00
00
11
00
10
11
01
10
10
11
10
11
11
01
00
00
00
10
00
00
01
11
10
00
10
10
10
00
00
00
01
11
00
00
00
00
00
00
11
10
11
00
00
10
00
01
01
01
10
10
01
00
10
11
01
00
11
10
11
00
10
11
00
00
10
11
00
00
00
01
10
10
10
00
00
01
11
11
01
01
11
11
10
11
00
00
10
10
00
00
00
00
10
10
01
00
10
10
00
00
10
01
00
11
10
10
01
10
01
00
10
11
01
10
10
10
01
00
00
10
11
00
00
11
10
01
10
11
00
11
01
00
10
10
10
01
10
00
10
10
00
00
00
00
10
00
00
10
00
00
10
01
10
10
00
00
01
11
01
00
00
10
01
01
01
11
11
10
10
10
01
11
10
01
00
01
00
10
00
00
10
10
00
11
10
00
00
10
10
10
11
00
00
00
00
01
01
10
01
00
11
01
10
00
00
10
11
10
00
10
01
11
00
10
10
10
10
00
00
00
10
11
10
10
00
10
00
00
01
00
10
11
11
00
01
10
11
00
01
10
10
01
11
10
00
01
01
00
00
11
10
10
00
01
00
00
10
10
00
00
00
10
00
11
00
10
10
10
00
01
00
00
10
11
00
10
01
00
10
01
10
10
00
01
01
00
00
10
00
11
00
10
11
00
01
10
11
00
01
11
00
00
10
00
11
11
00
00
10
11
11
01
00
10
11
10
11
00
10
00
11
11
00
11
00
01
10
10
10
00
10
10
10
01
11
10
00
00
10
10
11
01
10
11
11
10
00
10
00
10
10
00
00
10
11
11
11
01
01
10
01
10
10
00
01
10
11
00
00
00
10
00
10
11
00
00
00
11
10
01
10
10
11
11
00
11
00
10
00
00
10
10
10
01
10
01
10
01
00
00
00
11
10
10
10
00
00
11
10
00
10
10
10
10
10
01
11
10
11
10
01
00
00
10
00
01
11
01
00
00
00
01
01
10
11
00
01
10
10
10
10
01
01
11
01
10
11
01
01
00
11
10
00
01
10
10
00
00
10
10
10
10
00
00
01
10
01
01
10
10
00
11
10
01
00
00
00
01
11
10
10
00
00
00
01
10
11
00
11
00
10
00
10
10
10
11
00
01
10
11
00
10
00
01
10
00
00
10
00
00
10
01
10
01
11
11
10
00
00
00
00
01
00
10
00
11
01
10
01
11
00
01
10
00
10
00
00
00
10
11
00
11
11
10
10
10
00
01
10
11
01
10
11
10
00
00
00
10
10
00
00
11
01
10
11
10
11
11
01
00
10
10
11
00
01
01
11
00
01
00
11
11
00
00
11
10
00
11
10
00
11
00
10
10
00
00
00
00
10
10
10
10
01
11
10
10
10
00
11
10
00
10
00
11
00
00
10
11
01
11
11
10
10
10
00
00
00
01
10
10
00
01
01
00
10
10
00
10
10
10
00
00
10
10
10
10
00
01
10
01
00
10
00
10
10
10
00
00
10
01
00
00
00
00
10
10
11
01
11
10
00
00
11
00
10
10
00
11
11
00
11
10
10
10
00
00
10
11
00
11
01
10
10
11
01
11
10
01
00
10
01
10
01
00
01
00
11
11
00
11
10
10
10
11
00
10
01
00
11
10
00
01
00
01
10
10
01
11
00
00
10
11
00
01
10
11
11
00
00
10
01
01
01
11
00
01
01
11
00
00
11
00
10
01
00
11
11
11
11
00
00
00
10
10
11
00
00
10
00
10
10
10
00
00
01
10
10
00
11
00
00
10
10
10
01
00
01
00
11
00
01
00
11
00
00
10
10
10
00
00
10
01
10
10
10
01
00
11
10
01
00
01
10
10
10
00
01
00
01
10
10
10
10
01
00
11
10
00
00
10
10
00
10
00
00
01
00
10
10
10
10
11
00
00
00
01
00
00
11
00
00
00
10
10
01
00
10
11
00
00
00
01
10
01
00
10
11
11
10
00
00
11
01
10
10
00
00
00
10
10
00
00
11
11
00
11
01
10
00
00
10
10
10
00
10
00
00
01
00
10
11
00
10
10
01
10
01
00
10
11
10
10
10
00
01
00
01
10
10
10
00
10
10
11
01
10
10
00
10
10
00
10
10
10
10
00
10
01
00
11
00
11
10
00
10
10
10
01
11
10
11
01
00
11
00
01
00
01
10
10
10
01
10
10
01
00
10
11
11
00
00
10
11
10
00
00
10
11
01
10
10
00
10
00
10
10
00
00
10
10
00
00
11
00
11
00
11
00
10
10
11
10
00
10
01
00
10
00
10
10
01
00
10
11
10
00
01
10
10
01
00
10
01
10
00
00
01
00
01
10
11
10
00
11
00
00
11
10
11
10
10
00
00
00
11
00
01
10
00
01
00
00
11
00
00
10
10
11
11
10
10
10
01
01
10
00
01
01
10
10
10
10
00
10
00
00
11
10
00
00
00
10
00
00
10
10
00
10
01
00
11
00
10
00
00
10
11
00
00
10
01
01
01
11
10
00
00
00
00
01
10
10
00
00
10
00
10
10
01
00
01
10
00
10
00
10
10
00
00
00
10
00
01
11
00
10
00
00
11
11
00
01
01
11
10
10
11
00
00
10
10
00
11
10
00
00
10
10
00
10
10
10
00
10
10
11
00
01
01
10
10
11
00
11
10
10
10
00
00
10
00
00
10
00
11
10
11
01
00
10
00
11
10
01
00
10
10
11
00
01
10
11
00
01
11
00
00
00
00
00
11
11
00
11
00
01
10
11
00
01
00
11
11
00
01
00
10
11
00
10
00
00
10
00
00
11
11
00
10
11
10
10
00
10
01
10
10
10
10
10
00
00
10
00
10
11
01
11
11
10
11
00
10
10
00
01
10
11
00
01
00
11
11
11
10
11
11
00
00
11
00
00
00
11
01
11
10
01
00
10
01
01
10
11
10
10
10
01
10
00
00
10
11
01
00
00
00
01
10
00
11
11
00
11
00
01
10
00
10
11
00
10
10
00
00
10
01
01
00
01
10
01
10
11
11
00
11
11
01
11
01
10
10
11
01
10
01
10
10
10
00
00
11
01
01
11
00
11
10
01
10
10
00
00
11
00
01
11
00
01
00
00
11
10
00
01
00
10
00
11
10
01
10
11
00
11
00
10
00
11
10
01
10
10
01
11
00
11
00
00
10
11
00
00
10
10
00
00
11
10
10
11
00
10
10
01
10
10
00
00
11
00
00
11
00
01
01
11
10
10
11
10
10
10
10
00
00
01
00
10
01
00
11
10
01
10
10
10
00
10
10
00
11
00
11
01
00
10
01
11
00
00
10
10
10
10
10
10
01
00
00
10
11
00
10
00
10
01
01
01
11
11
00
01
10
00
00
01
10
10
10
01
10
10
10
10
10
11
01
10
10
00
10
11
10
10
10
10
11
01
01
11
01
10
01
10
01
10
10
10
00
10
10
11
01
01
11
00
00
10
00
01
10
10
10
00
00
11
00
11
00
10
00
00
00
00
01
00
00
01
01
10
11
11
10
00
11
11
01
00
00
10
01
00
00
00
10
10
00
00
10
00
00
00
10
11
01
10
00
01
10
00
11
00
01
00
01
10
10
01
00
00
10
10
00
11
11
00
00
00
11
00
00
11
00
10
10
01
01
01
00
10
10
10
00
01
11
10
10
11
00
11
11
01
10
00
00
11
11
10
00
00
10
11
01
10
10
00
11
10
10
00
00
10
00
11
10
01
01
10
00
10
00
00
00
10
11
00
00
11
01
10
00
10
11
10
11
01
00
00
10
10
11
00
11
00
01
10
11
00
10
01
00
10
01
10
11
10
00
10
10
10
00
01
10
01
00
01
00
00
10
10
00
00
01
10
00
10
10
11
00
00
10
00
01
00
00
11
00
11
10
00
00
10
10
00
11
01
00
10
10
11
00
00
01
00
10
10
10
00
11
10
10
00
10
00
01
11
10
10
11
01
11
01
01
10
01
10
00
00
00
11
10
11
00
00
11
00
00
01
10
11
11
00
01
00
10
10
00
10
10
10
00
01
10
00
11
10
10
00
10
10
11
10
00
10
00
01
10
11
10
00
10
11
11
00
00
10
00
10
11
10
11
00
10
10
00
00
10
00
00
10
10
10
11
10
11
10
00
10
00
11
00
01
11
01
01
00
01
00
01
10
00
00
00
10
00
01
10
00
11
01
11
00
10
01
00
10
10
10
01
00
11
10
01
00
10
01
10
11
00
00
11
10
01
01
00
10
11
00
00
10
00
10
00
00
11
00
11
10
10
11
00
10
10
11
10
01
10
10
00
10
01
00
11
10
10
10
10
10
01
00
01
00
10
10
11
10
00
10
11
11
00
01
11
00
10
10
00
11
11
10
00
00
10
10
01
10
01
00
10
10
10
10
10
00
00
01
00
10
10
11
00
01
00
10
00
10
10
00
00
11
10
00
00
00
01
10
01
01
10
11
10
10
00
11
10
10
10
00
11
10
00
00
00
10
10
10
10
01
00
10
10
01
10
11
01
11
00
00
11
01
00
10
01
00
00
10
11
00
00
10
10
10
00
00
00
01
01
10
00
01
11
11
00
01
11
11
00
11
00
00
10
00
10
10
00
01
00
01
10
00
11
10
11
10
10
00
10
10
00
10
11
10
11
10
00
00
00
10
00
10
10
01
11
01
00
00
00
11
11
01
10
11
00
01
11
00
01
10
10
10
10
00
11
11
00
00
00
00
00
10
10
10
00
11
01
01
11
10
11
10
10
10
00
00
00
11
10
00
11
01
00
10
00
11
10
10
10
00
01
11
01
00
11
10
01
10
11
10
01
11
10
01
00
11
10
00
00
00
01
11
10
10
01
10
01
11
11
10
00
01
10
00
00
00
10
10
10
00
00
11
00
01
10
00
10
11
10
00
01
10
01
00
10
11
00
01
11
10
00
10
10
01
00
01
10
00
00
01
10
10
11
01
11
00
00
01
00
11
10
01
00
00
10
10
00
01
10
11
11
00
00
11
10
11
00
00
10
00
00
01
01
10
10
10
00
00
11
00
00
00
10
01
11
10
11
10
01
00
01
01
11
10
00
10
11
10
11
01
01
10
01
01
10
11
00
00
00
10
10
11
10
10
10
00
10
01
10
10
00
00
11
00
00
10
10
00
10
00
10
00
00
01
10
10
10
11
01
10
11
00
00
10
10
11
00
01
10
11
00
00
00
00
10
10
00
00
10
10
10
00
10
01
00
10
11
01
00
11
01
01
01
10
11
10
01
00
10
11
01
10
00
11
11
00
00
00
10
10
01
00
10
00
01
11
00
10
10
00
01
00
00
00
10
11
10
01
01
10
10
10
10
10
01
00
00
10
00
11
10
00
10
10
01
10
10
10
00
00
01
11
01
01
00
11
01
00
00
00
11
11
00
10
10
00
10
01
00
01
10
00
01
01
00
10
10
00
11
10
01
00
10
10
10
10
01
00
10
11
00
10
10
00
00
10
10
10
00
00
10
01
00
10
11
00
10
11
01
10
00
11
00
11
11
00
10
00
11
00
11
10
00
00
11
01
00
10
10
01
00
00
11
10
10
01
00
00
00
10
01
11
10
01
11
10
01
10
01
00
10
10
00
11
10
10
11
10
10
10
10
01
11
10
11
00
10
01
10
00
00
11
10
00
00
10
11
01
00
00
01
01
00
00
00
10
11
11
10
00
10
10
00
10
00
10
00
01
11
10
01
11
00
10
00
01
11
10
00
00
10
11
10
10
00
10
10
11
10
10
11
01
01
01
00
10
00
01
01
11
11
11
10
00
10
10
00
00
00
10
11
10
01
10
00
00
10
10
10
01
10
10
00
10
01
11
10
00
10
00
00
10
00
00
00
00
00
10
01
10
00
10
00
11
00
00
01
00
10
10
01
10
11
00
00
11
00
00
00
00
11
01
10
10
10
11
10
11
10
01
10
00
01
10
00
00
11
11
10
10
10
01
10
00
11
00
10
10
11
01
00
00
11
00
11
11
00
01
01
11
10
00
10
01
11
00
00
00
00
10
10
00
00
00
11
10
10
00
10
00
01
01
10
10
10
10
00
00
00
10
10
11
00
00
00
11
10
10
00
01
01
10
11
10
00
01
00
10
00
00
10
11
00
00
01
10
00
11
11
00
01
01
10
00
11
00
00
00
10
00
00
00
10
10
01
10
10
10
10
00
00
10
11
10
00
10
10
10
00
01
00
01
10
10
10
11
00
11
10
00
01
11
10
11
11
10
10
01
01
01
10
10
00
00
00
10
10
10
01
00
10
01
00
01
00
00
01
11
11
10
10
00
00
00
00
01
10
00
00
10
00
10
00
01
11
00
11
00
10
00
10
11
11
00
10
00
01
11
10
01
10
11
01
10
11
10
11
00
11
00
01
11
11
11
00
00
01
00
10
10
01
10
00
10
11
01
01
00
00
10
10
10
11
10
11
11
01
11
00
11
00
00
10
11
00
01
00
10
10
00
00
10
10
00
11
11
01
00
00
00
00
10
11
01
11
10
00
10
11
00
01
10
01
01
10
10
00
10
11
10
00
01
00
11
00
10
10
11
10
11
00
10
00
00
11
10
00
01
10
10
10
01
00
11
00
00
10
10
00
01
11
10
10
00
00
00
00
11
00
10
10
00
00
10
11
01
01
10
00
00
00
00
11
11
00
10
10
00
00
00
10
10
11
11
11
10
01
00
10
10
01
10
10
00
00
10
10
00
00
00
11
00
01
01
10
00
00
10
10
10
00
00
10
00
00
11
00
10
10
10
11
10
01
01
01
00
01
11
10
10
10
01
01
00
10
10
01
10
00
11
10
01
00
10
00
01
00
11
10
01
11
00
00
10
00
11
01
00
10
10
10
11
00
00
10
10
01
11
00
11
10
00
00
10
10
10
00
10
10
01
00
10
01
00
10
11
11
01
00
00
10
11
11
00
00
01
00
00
00
10
11
11
00
10
01
00
00
11
00
01
10
10
11
00
11
00
10
10
11
00
00
00
10
11
10
01
01
11
01
10
11
10
10
01
11
01
00
00
10
11
10
00
01
11
00
10
00
00
10
11
10
01
00
10
01
00
10
01
00
11
11
10
11
00
00
01
10
11
11
11
10
10
00
00
11
10
01
01
10
10
11
11
10
10
00
00
11
00
01
00
00
10
11
01
00
11
10
10
11
01
01
10
01
00
00
01
10
11
11
00
00
10
00
00
00
10
11
00
00
01
11
10
10
10
00
00
00
00
10
10
10
00
10
10
00
10
01
10
00
10
11
00
10
10
10
00
10
00
01
10
11
01
01
00
00
10
11
00
01
10
10
00
11
00
10
01
01
01
10
10
10
00
01
00
10
10
01
01
00
00
10
01
00
11
01
00
10
10
10
00
00
11
11
01
00
10
10
01
01
10
10
01
00
00
11
10
10
10
00
00
10
10
00
11
10
10
00
11
10
00
01
01
11
01
10
10
00
00
01
01
10
10
10
10
11
10
00
00
01
11
00
00
10
00
10
00
10
10
00
00
10
11
00
11
00
11
00
01
11
11
01
01
00
11
10
00
00
10
10
01
00
10
11
10
00
00
01
00
10
10
00
10
11
00
11
01
01
10
10
00
10
01
10
10
00
00
11
10
00
10
00
10
01
00
10
10
10
11
10
11
00
11
11
00
10
10
00
11
10
00
10
10
00
10
10
01
00
10
01
10
00
00
00
00
00
10
10
10
10
00
00
01
00
10
01
11
11
11
00
00
00
10
00
01
11
10
11
11
00
01
11
01
00
11
10
11
10
01
00
10
10
01
01
10
01
00
01
10
10
10
10
01
01
11
00
00
11
00
10
00
10
00
00
10
00
10
01
10
00
10
00
00
10
01
00
10
11
10
01
11
11
00
10
00
00
00
11
00
01
11
00
10
10
11
00
10
10
00
00
00
01
10
10
11
10
11
01
11
01
00
00
10
01
00
10
11
00
00
11
01
00
00
10
10
10
10
11
10
00
00
10
11
01
10
00
01
11
10
00
11
00
00
10
10
00
00
00
00
01
10
11
10
00
11
10
01
10
00
00
01
11
10
10
00
10
10
10
00
00
10
11
00
01
01
10
01
00
10
00
11
10
11
10
00
01
11
10
00
10
00
00
00
01
10
00
11
00
10
10
00
00
10
01
11
00
00
11
00
10
10
10
00
10
00
00
10
10
00
00
11
01
01
10
10
01
10
11
00
11
00
01
00
10
01
01
10
01
10
10
10
10
01
00
01
10
11
01
01
10
01
10
11
01
01
10
11
10
00
00
00
11
11
00
00
10
00
11
10
10
10
11
01
01
00
00
11
10
00
00
10
10
10
00
11
10
11
00
11
11
01
11
01
10
10
11
00
00
00
11
00
01
10
11
00
01
11
00
00
10
10
01
00
11
00
01
00
01
01
01
10
11
10
00
00
01
11
11
10
01
10
01
00
11
01
10
01
00
10
11
10
10
00
00
10
00
01
10
10
10
10
01
00
10
10
00
00
10
11
00
01
10
01
11
10
01
00
11
10
00
00
11
01
00
00
00
00
00
10
01
10
11
00
10
10
10
10
10
10
00
11
00
10
10
10
00
01
10
00
10
10
10
10
00
00
11
11
10
11
00
00
00
10
00
10
00
10
10
00
00
00
11
10
11
00
00
00
10
00
00
00
11
01
00
10
00
00
00
10
10
00
11
10
11
01
01
00
11
10
01
01
10
10
10
10
00
00
11
10
10
11
01
11
00
11
10
00
10
10
00
00
01
10
00
00
00
10
10
10
11
01
00
01
10
11
00
00
00
10
01
10
01
00
11
10
00
00
10
11
10
00
00
01
01
11
01
10
10
11
00
00
10
10
00
11
00
01
10
00
00
10
10
10
10
00
10
10
10
00
01
10
01
10
00
00
10
01
10
10
01
11
10
10
00
01
10
10
00
00
10
00
10
11
10
00
10
10
10
10
00
10
11
11
10
00
00
11
00
00
10
10
00
10
10
00
00
00
00
01
00
11
01
01
10
00
10
01
01
01
00
11
10
11
11
00
00
10
10
11
10
00
10
10
10
10
00
10
10
01
00
00
10
10
10
01
00
11
10
01
11
10
11
10
11
01
10
11
10
00
00
01
00
01
11
10
10
10
00
10
01
00
00
10
10
00
10
10
10
01
01
00
00
11
00
11
00
01
11
10
01
00
00
10
10
10
00
10
10
00
11
00
01
00
01
00
11
00
00
00
10
10
01
11
01
10
00
01
01
11
10
10
01
00
00
10
10
11
00
10
11
00
11
00
00
00
11
01
01
10
10
10
11
00
00
10
11
10
00
10
01
01
01
00
10
01
00
01
10
11
00
00
10
00
00
11
10
01
11
10
00
10
00
10
10
00
00
10
10
11
00
10
10
10
11
10
00
00
00
10
01
01
11
10
00
10
00
01
10
10
00
10
11
00
11
01
10
00
01
10
00
10
10
11
00
10
01
01
11
10
00
01
10
01
10
10
00
00
10
10
01
00
11
01
00
01
11
11
00
10
10
10
00
00
10
11
00
00
00
10
00
11
01
11
11
11
10
01
10
00
11
10
00
01
01
11
10
01
00
00
10
10
01
00
01
10
00
01
10
01
00
00
10
11
01
10
11
00
10
10
11
00
01
11
10
10
01
11
01
00
01
10
00
00
11
11
00
00
11
00
10
10
10
10
10
11
00
00
00
00
11
10
10
00
11
00
01
10
00
01
10
10
11
10
01
10
10
01
00
01
00
11
11
00
00
01
01
11
11
00
10
00
01
10
11
01
00
00
10
00
10
01
00
00
10
00
10
00
00
11
11
00
01
11
00
00
00
00
00
11
10
11
00
00
10
00
00
00
11
10
11
00
01
10
10
11
00
10
01
00
10
10
01
11
01
10
10
00
11
10
00
10
10
00
10
00
00
00
00
00
01
10
10
01
00
01
00
11
10
00
01
11
00
00
11
10
11
00
11
00
00
00
00
10
10
00
00
10
10
00
00
10
01
10
01
11
10
00
10
11
00
01
10
10
11
01
10
00
10
10
00
11
00
10
10
10
10
00
10
10
01
00
10
10
11
10
00
00
01
11
10
00
01
10
00
10
00
10
01
01
10
10
01
00
11
01
00
10
10
11
10
11
00
10
11
10
00
10
00
00
10
00
11
11
00
10
00
01
11
11
10
00
00
00
01
00
00
01
11
01
10
11
01
10
10
00
00
10
00
01
11
00
00
11
01
11
11
00
01
00
00
10
10
11
00
10
11
10
01
00
01
00
11
11
00
10
11
00
10
00
00
01
00
10
01
00
10
10
10
10
11
00
01
00
00
10
10
00
01
10
00
11
11
01
10
01
11
10
00
01
01
11
00
00
00
01
00
11
10
11
10
11
00
01
11
11
00
00
10
00
00
11
00
00
00
10
00
00
11
00
01
00
11
00
10
10
00
00
00
00
11
10
10
00
00
10
11
10
00
00
11
00
10
10
00
00
11
01
10
10
00
11
01
10
01
01
11
01
11
10
10
00
00
01
10
11
00
01
10
10
10
10
00
01
11
11
10
00
00
10
00
10
01
00
01
11
00
10
10
00
01
10
11
11
11
11
11
00
10
11
10
00
00
00
00
10
00
10
00
00
00
10
00
00
10
10
11
00
00
10
10
00
00
00
01
11
00
00
10
11
01
01
10
00
00
01
10
11
10
01
01
00
00
10
10
01
01
10
11
10
01
00
00
01
11
10
00
10
00
01
10
10
10
10
01
10
10
00
10
01
01
10
10
10
01
00
00
10
00
00
00
11
11
10
00
01
00
10
01
10
11
00
00
01
00
10
10
01
01
11
00
00
10
11
11
10
00
00
10
11
00
10
10
10
10
01
10
00
10
10
00
11
00
10
11
01
00
10
10
10
11
00
00
10
01
10
11
00
01
00
10
00
11
10
00
11
10
11
00
10
00
00
11
10
10
00
10
10
11
00
10
00
00
01
01
01
10
10
00
10
01
00
10
10
10
00
00
10
11
00
00
10
10
01
01
10
11
00
10
11
11
00
00
00
10
11
00
00
10
10
00
10
10
10
10
10
10
10
11
00
10
00
10
10
10
11
10
00
00
00
10
01
01
10
10
00
00
00
00
10
01
10
10
01
10
10
00
00
00
00
00
10
10
01
01
10
10
10
00
10
11
11
00
00
10
10
11
01
00
10
10
10
01
11
00
00
10
10
11
00
00
11
11
11
00
00
10
11
00
01
10
01
10
10
00
01
01
10
11
10
00
01
00
10
10
01
00
00
10
00
01
00
00
00
10
10
01
00
10
10
10
00
10
00
01
11
10
01
00
10
00
10
00
00
10
11
10
01
10
10
10
10
01
00
01
11
10
00
00
11
00
10
10
10
00
00
10
11
10
00
11
01
10
10
00
00
11
00
10
11
11
01
10
00
00
01
01
10
10
01
10
10
10
01
10
10
10
01
10
01
01
10
10
10
00
10
00
11
10
10
10
01
01
10
01
00
10
11
11
00
01
10
10
11
10
10
00
10
01
01
00
00
10
10
10
00
00
10
10
11
00
10
00
01
10
11
01
00
11
10
10
00
11
10
11
00
00
00
10
01
01
01
01
00
00
10
10
00
10
00
00
11
10
11
10
10
10
10
01
01
11
11
11
00
00
11
00
01
01
01
00
10
01
11
00
10
01
01
00
10
11
00
01
01
00
10
00
00
11
01
00
10
10
00
10
10
00
11
00
00
01
00
01
10
11
10
00
10
10
00
10
00
00
11
11
00
00
10
10
00
01
10
00
10
01
10
10
00
00
11
11
10
10
10
01
10
10
10
01
00
11
00
00
00
01
10
11
11
00
00
00
00
00
10
10
10
10
00
11
00
11
01
10
10
10
10
10
11
00
11
01
01
11
10
10
00
01
11
10
11
11
01
10
11
00
00
10
10
10
10
00
00
01
11
00
01
01
01
10
10
10
01
10
10
00
10
11
00
01
00
10
11
11
00
00
10
10
00
01
01
00
10
10
10
00
11
11
01
11
00
00
00
00
00
00
10
11
01
00
01
10
11
00
01
11
10
01
00
10
01
11
11
01
10
10
10
00
00
01
11
10
11
11
01
11
00
01
10
10
00
10
10
00
00
01
10
00
10
00
00
01
01
10
00
00
01
11
10
00
11
11
00
00
00
00
01
11
10
10
00
01
00
11
10
01
01
00
00
10
10
01
10
00
01
10
11
00
00
10
00
00
11
00
10
00
00
01
10
00
10
00
01
01
00
11
10
01
01
00
00
10
10
10
11
11
00
00
11
11
10
01
01
10
01
01
01
10
10
00
11
00
11
01
11
10
10
00
10
00
00
10
01
10
00
00
10
01
01
10
01
10
10
10
00
01
10
01
00
00
00
00
11
01
11
10
11
00
00
00
10
00
10
11
00
11
10
00
11
11
10
11
10
10
10
10
10
10
01
00
01
11
10
00
01
10
10
10
00
00
10
00
00
10
00
01
01
00
10
00
10
00
11
10
01
00
00
10
10
00
00
00
10
01
10
10
00
11
00
11
10
11
00
01
10
11
00
00
11
00
01
11
11
11
00
00
00
01
10
00
01
00
10
10
10
10
01
10
00
11
00
00
00
10
00
10
00
01
11
00
01
00
11
00
00
10
01
11
10
01
00
01
01
01
10
10
10
01
10
11
00
00
11
10
11
10
00
01
10
10
01
10
10
10
10
00
00
11
11
11
11
10
00
10
10
00
00
11
00
01
10
00
11
10
11
00
10
10
10
00
10
10
00
10
10
01
11
10
10
00
00
11
11
01
01
10
00
11
00
01
10
00
00
10
11
00
10
10
01
11
10
10
00
11
11
10
01
00
01
10
10
10
10
10
00
01
10
00
00
11
10
11
01
10
10
00
00
00
00
01
00
10
10
10
00
10
10
01
10
10
00
10
10
10
00
00
00
11
11
10
11
11
00
01
10
00
00
10
10
11
01
01
01
00
00
11
00
10
11
01
10
11
00
01
10
00
01
00
01
10
00
10
00
10
11
10
10
01
10
00
00
01
10
01
00
10
10
00
10
00
11
10
00
10
11
00
10
01
11
01
00
10
00
00
10
10
01
00
10
10
00
01
01
00
00
00
00
00
10
00
01
10
11
01
00
11
01
01
10
00
00
00
11
11
10
11
11
00
11
11
10
11
00
00
10
11
00
00
10
10
01
00
10
10
10
01
10
11
00
00
10
01
10
10
00
01
11
00
10
10
10
00
00
10
11
00
01
11
00
00
11
11
00
01
10
11
01
01
11
10
00
00
10
10
00
00
11
10
00
01
10
00
00
11
00
01
10
11
11
11
01
00
11
10
10
00
10
11
10
00
00
00
11
10
01
11
00
00
00
11
01
01
11
10
10
01
00
10
01
00
00
00
10
11
10
01
01
10
00
00
01
01
10
11
00
00
10
10
00
10
11
00
01
00
10
00
11
10
01
00
10
00
00
11
10
11
01
10
11
00
11
10
11
00
10
01
10
11
00
11
10
00
01
00
01
10
00
00
00
10
11
10
01
10
10
00
11
00
11
11
01
00
00
10
01
11
11
01
10
10
00
10
10
00
00
10
10
00
00
10
10
10
10
11
10
01
01
00
00
11
00
10
00
00
10
10
00
11
00
00
10
10
01
11
00
10
10
00
00
00
11
00
11
01
01
11
11
01
01
00
01
00
10
00
00
10
10
00
11
10
10
11
00
10
10
00
00
00
00
11
11
01
00
00
10
00
00
00
01
10
11
01
10
10
00
00
00
10
10
00
00
11
00
10
10
11
10
00
00
10
10
10
10
00
01
00
11
10
01
10
11
10
00
11
10
10
01
10
11
10
00
01
10
10
00
11
10
01
10
00
11
10
11
10
11
01
00
10
01
00
00
00
00
00
11
10
10
10
00
10
11
10
11
10
10
10
00
10
00
01
11
10
00
10
00
00
10
10
10
00
00
00
11
10
00
10
00
00
01
00
00
10
10
00
01
11
10
10
01
00
00
10
10
00
00
00
00
10
10
00
01
01
10
00
00
00
10
00
10
10
10
11
00
10
10
10
10
00
00
10
00
00
01
10
01
01
10
10
01
00
00
00
10
10
10
10
10
01
00
10
11
00
11
11
10
00
01
00
11
00
00
11
00
10
01
00
11
11
01
00
10
11
11
10
01
00
10
00
11
11
01
00
11
01
10
10
00
11
10
01
01
11
00
01
00
10
00
01
10
10
10
00
00
01
00
00
00
10
10
00
00
10
10
00
10
11
01
01
11
10
10
00
00
00
10
10
01
00
10
00
10
01
01
11
00
01
11
10
01
11
10
00
11
01
11
10
01
10
00
00
10
00
10
10
01
00
00
01
11
00
00
01
10
10
00
00
00
10
00
11
10
00
00
00
11
10
00
00
11
01
10
01
10
10
00
10
00
00
10
10
00
00
01
10
00
10
00
00
11
00
00
01
10
11
01
10
10
11
00
00
10
00
10
11
00
10
00
00
11
11
01
00
10
11
11
01
00
01
10
10
10
10
01
00
00
11
11
11
10
00
00
00
01
01
10
11
11
11
10
10
01
01
01
01
00
11
10
00
10
10
00
00
00
00
10
01
00
10
11
11
11
11
10
10
00
10
10
10
00
00
00
10
10
11
00
01
00
10
01
00
10
00
00
10
10
11
01
01
01
10
11
11
10
11
00
01
11
00
00
10
10
11
00
00
11
10
00
10
00
00
00
01
11
11
10
10
10
01
10
11
00
00
10
10
01
10
00
00
01
10
00
01
10
10
01
10
10
10
00
00
11
10
10
10
01
11
11
01
00
11
00
10
10
00
01
00
00
11
00
10
10
00
10
00
10
00
10
10
10
10
01
01
10
10
01
11
11
10
11
00
00
10
11
01
00
11
11
01
01
11
10
00
01
00
00
11
11
00
11
10
10
11
10
01
00
00
11
00
10
10
01
00
01
10
00
11
00
11
10
00
01
00
00
11
11
10
11
10
01
01
00
00
10
01
00
00
10
11
10
00
10
10
01
10
00
00
00
11
10
11
11
10
00
00
11
10
10
01
10
10
10
10
00
10
01
11
00
10
00
00
10
00
01
00
11
10
00
11
11
11
00
00
10
11
00
10
10
01
11
00
00
01
00
01
10
10
00
11
01
10
10
01
10
00
00
10
10
10
00
00
10
00
00
11
11
01
01
11
10
00
01
00
00
10
11
00
00
00
00
10
10
00
00
10
10
00
00
00
01
00
00
10
11
00
10
10
10
00
00
11
11
01
10
10
01
01
00
10
01
00
10
11
10
01
11
11
00
11
10
10
00
00
10
00
10
00
10
10
10
11
01
11
11
00
10
00
10
01
00
10
00
00
11
11
11
00
00
10
10
00
00
10
11
00
01
01
00
00
11
10
01
10
00
00
00
10
10
01
00
00
00
01
10
00
10
11
00
10
10
00
00
10
01
00
00
10
00
10
11
00
01
10
10
10
00
00
11
10
01
11
10
00
11
00
10
00
00
01
01
01
10
01
10
01
11
10
01
01
01
11
10
01
11
10
00
10
01
10
10
00
01
11
11
00
11
10
00
10
10
11
00
01
10
01
11
11
01
10
11
01
10
10
10
00
00
00
10
10
00
10
10
10
01
00
11
00
10
10
11
10
00
00
10
00
11
10
00
00
00
10
11
00
00
01
10
00
01
11
00
01
11
10
01
11
00
10
11
01
11
01
00
10
10
10
00
01
10
00
10
00
01
00
11
10
10
11
10
10
00
00
10
00
00
00
11
11
00
11
11
11
10
01
00
01
11
10
01
01
11
11
01
11
00
01
11
11
00
11
10
00
00
00
10
10
00
00
00
10
00
10
01
10
11
00
01
11
10
00
11
00
00
00
10
00
00
10
00
01
11
10
10
10
10
11
10
11
00
00
10
00
01
10
00
00
01
01
11
10
11
11
11
00
11
10
00
01
00
00
11
00
00
10
00
10
10
01
01
10
01
10
10
00
10
00
01
11
10
00
01
10
00
00
11
01
01
11
10
00
10
10
01
10
10
00
01
11
11
11
00
10
10
00
00
00
11
10
10
01
10
11
10
11
01
11
01
00
01
00
10
11
10
00
11
10
00
00
10
10
10
00
10
10
00
00
11
10
00
00
10
10
10
01
10
00
00
11
01
10
10
00
00
10
00
11
00
01
10
10
00
00
00
10
00
10
10
01
01
11
00
00
00
00
00
00
11
10
00
01
00
10
01
00
10
01
00
10
00
00
00
00
00
00
10
10
00
00
11
00
10
11
00
10
00
10
10
01
01
11
11
00
10
10
00
00
00
11
10
11
01
01
00
00
11
00
10
10
10
00
10
01
10
10
01
00
11
00
10
10
01
01
10
00
01
11
10
00
00
00
10
00
00
11
11
11
01
01
00
10
01
00
01
10
10
00
11
11
00
00
11
10
10
00
00
10
11
00
10
00
00
01
00
01
11
01
11
10
00
10
10
01
01
11
01
01
11
10
00
00
10
10
00
10
11
01
01
00
00
00
01
01
10
10
01
10
10
11
00
00
10
00
01
10
01
00
01
11
00
00
11
10
01
00
10
10
00
00
10
10
01
00
10
01
10
01
01
10
00
00
10
01
10
10
00
10
10
11
00
00
10
00
10
00
01
10
00
00
00
10
01
01
10
10
11
00
00
00
10
10
00
01
11
11
00
00
00
01
10
00
00
11
10
00
10
11
00
10
10
00
11
00
00
00
11
00
10
11
00
10
10
00
11
10
00
10
00
00
10
00
00
00
11
10
10
10
00
00
00
10
10
10
11
00
00
10
00
00
11
11
01
10
11
01
00
00
00
10
10
11
11
00
10
10
10
10
01
00
10
10
10
01
10
10
10
11
10
10
11
10
10
00
10
01
00
11
10
00
00
11
10
01
10
00
00
01
10
01
00
00
11
10
10
10
01
01
01
00
00
11
10
10
10
11
11
00
00
10
11
11
00
00
10
00
01
00
11
00
01
11
11
01
10
10
01
00
10
00
00
11
10
00
10
01
10
10
00
00
11
00
10
01
00
10
11
00
10
10
01
00
10
10
11
10
11
10
00
11
00
01
10
01
00
10
01
10
10
11
01
00
10
11
11
11
10
10
00
10
00
00
01
00
10
10
00
00
01
10
11
00
01
00
01
10
10
00
00
10
10
01
01
00
00
10
11
01
01
10
10
10
00
00
10
10
01
00
11
10
11
00
10
00
11
11
00
10
10
11
11
00
11
01
10
11
10
10
01
01
10
10
00
00
10
11
01
11
01
10
10
00
00
00
10
11
00
10
00
10
11
11
10
00
10
10
00
10
10
01
00
01
11
00
10
10
00
11
00
00
11
10
01
00
11
10
10
10
00
01
00
00
10
10
00
01
11
10
01
01
01
10
01
01
10
11
10
00
00
11
10
10
00
00
00
11
10
00
10
00
01
10
10
01
01
10
01
01
10
10
10
11
10
10
00
00
10
00
10
10
00
01
10
00
00
10
00
10
11
01
11
11
10
00
10
10
01
00
11
11
00
00
10
11
00
00
00
01
10
10
10
11
11
11
10
11
11
00
10
10
01
11
10
11
01
01
00
01
11
10
01
01
10
00
00
10
10
00
01
00
10
10
00
10
11
00
00
01
10
10
10
00
01
10
10
10
11
01
00
00
10
00
00
10
10
10
00
00
11
11
00
01
11
11
10
01
00
00
00
10
10
10
11
00
11
00
00
10
00
11
00
10
01
10
01
00
10
10
10
10
00
00
11
10
11
01
00
11
00
10
01
11
10
10
00
01
10
11
11
11
01
00
00
10
11
10
10
00
01
10
10
00
00
10
01
00
11
11
11
01
10
00
10
01
00
10
00
10
00
01
10
11
11
00
11
10
01
00
11
11
01
11
11
10
00
01
11
00
01
10
11
00
10
11
01
01
01
00
10
10
00
10
10
01
00
10
11
00
00
10
00
00
10
10
10
00
00
11
10
10
01
11
11
00
10
00
00
11
11
11
00
00
00
00
00
00
10
10
01
00
01
01
10
00
01
00
11
10
10
11
00
00
10
10
00
11
00
00
00
10
10
11
01
00
01
10
11
00
10
00
00
11
10
10
01
10
10
00
10
10
10
00
10
10
10
01
10
10
10
01
01
10
10
00
01
00
00
00
10
01
10
10
01
00
00
10
10
10
01
00
00
11
10
00
00
00
01
01
11
10
01
00
10
10
00
00
11
00
00
01
00
00
01
10
10
00
01
11
10
00
10
11
10
00
00
11
10
10
11
00
01
00
00
01
10
11
01
00
10
10
00
11
11
00
00
10
11
00
00
10
11
01
01
00
11
10
01
00
10
10
01
00
00
00
10
11
01
00
11
00
10
10
01
10
10
00
00
00
11
00
10
00
00
10
10
00
01
10
11
00
01
10
00
10
11
00
00
10
11
01
00
00
01
10
10
10
10
00
10
10
10
00
10
01
10
11
01
11
00
00
00
10
01
01
10
01
00
10
10
10
10
00
01
10
01
10
10
00
10
00
10
01
10
00
00
10
10
00
00
11
10
00
10
00
01
00
00
10
01
10
00
01
10
00
10
10
10
10
00
01
11
01
00
00
00
11
00
10
11
11
00
00
11
01
11
01
00
10
10
00
10
00
11
11
00
11
10
00
10
00
10
00
00
00
00
11
00
10
00
10
10
10
00
00
01
00
10
01
00
10
10
11
10
01
00
10
10
00
01
00
01
10
01
00
10
01
01
10
00
10
10
10
00
00
00
01
10
10
10
10
10
10
10
11
00
01
00
10
10
01
10
10
00
01
01
00
10
10
00
10
01
00
10
00
00
10
01
11
10
00
10
00
00
10
01
11
00
01
10
10
11
01
00
01
10
10
00
00
11
10
10
01
00
00
01
11
11
00
01
10
01
01
00
11
10
00
00
11
10
10
11
01
10
00
00
00
10
00
00
10
10
01
01
00
01
10
10
11
00
00
00
01
11
01
10
00
01
00
00
10
10
01
00
11
01
10
11
00
00
00
10
10
10
00
11
11
01
10
10
10
00
00
11
01
01
11
11
10
10
10
00
10
10
00
00
00
00
00
10
01
00
11
10
10
11
10
00
11
11
01
10
10
00
00
00
10
11
01
01
00
01
11
10
01
01
01
10
01
10
00
00
10
00
01
10
11
10
00
10
11
11
11
00
00
01
10
11
10
10
01
00
00
00
10
10
10
01
10
11
00
01
00
11
01
01
00
11
10
10
11
00
01
00
10
01
00
10
01
10
11
00
01
11
01
00
10
01
10
10
11
01
01
11
01
10
11
00
10
00
00
10
01
01
10
00
00
10
10
10
11
00
10
00
00
10
10
10
10
10
10
10
00
00
00
10
10
00
00
00
10
11
10
00
10
10
10
10
00
00
00
00
11
00
01
10
01
10
01
00
00
11
11
00
00
10
01
10
01
10
10
00
11
10
00
10
10
10
10
01
00
00
10
00
10
11
10
00
10
01
10
00
00
10
00
10
10
11
10
10
00
11
00
00
00
10
01
00
10
11
00
01
00
10
11
10
00
10
10
00
10
10
10
00
01
00
00
10
10
11
01
10
00
10
10
00
10
00
01
00
00
10
10
01
10
11
11
00
01
01
10
10
11
00
00
00
10
11
00
01
11
10
01
00
00
11
00
00
11
10
11
10
11
01
00
00
11
10
10
00
00
01
11
00
10
01
00
00
01
10
00
00
10
10
10
01
00
11
11
01
00
01
00
10
10
01
01
11
01
01
00
10
10
00
11
10
00
00
10
11
10
01
00
11
00
01
11
10
10
01
11
10
10
11
10
01
01
00
10
10
10
11
00
00
00
11
10
10
00
10
11
11
01
01
01
10
10
10
10
00
00
10
10
00
00
10
10
00
10
01
01
11
11
00
11
00
10
00
01
10
10
01
00
00
11
00
10
10
10
00
01
00
00
10
00
00
10
10
00
11
11
00
00
11
00
10
11
11
10
00
01
00
11
11
00
00
11
11
11
10
01
00
01
00
11
10
10
00
00
01
10
11
00
10
10
01
00
10
00
00
10
10
00
10
11
10
00
00
00
11
01
01
11
10
01
00
01
10
01
10
00
10
10
10
01
00
00
11
00
00
11
01
11
10
00
10
10
01
00
10
10
01
01
00
10
00
10
11
00
00
10
11
00
10
10
00
00
10
00
00
10
00
00
00
01
10
11
10
10
10
01
10
00
11
11
01
10
00
11
10
01
10
00
00
10
10
10
00
10
10
10
00
01
01
00
11
10
00
00
00
10
00
11
10
10
10
10
01
10
01
00
10
00
00
11
10
00
01
11
00
10
01
10
10
10
10
00
01
11
01
11
01
10
10
10
01
00
10
11
00
01
00
10
00
10
10
10
10
00
00
10
10
01
00
01
00
10
00
10
01
00
01
11
10
00
11
10
00
10
11
10
01
00
10
11
11
10
00
00
01
10
10
00
10
10
00
10
10
00
00
10
10
00
01
00
10
00
01
10
00
10
01
00
11
10
10
01
00
11
10
10
00
10
00
00
10
10
10
00
10
01
00
00
10
11
10
00
01
00
00
10
00
10
10
00
00
11
11
10
10
00
01
10
01
00
10
01
00
00
10
11
01
11
11
00
00
00
00
00
11
10
01
01
10
00
01
00
10
00
01
10
10
00
10
00
11
11
01
11
10
01
10
00
01
10
10
01
10
00
10
10
11
11
01
00
10
10
11
00
01
10
10
00
00
00
01
01
10
11
00
00
11
10
00
01
11
11
00
10
01
00
01
10
10
00
10
10
10
00
01
01
00
10
00
10
11
00
10
10
00
01
11
01
11
10
10
10
10
01
00
10
11
00
10
10
00
11
11
00
01
00
00
00
01
10
00
10
10
11
00
00
10
00
01
00
10
00
01
10
10
11
00
10
10
00
00
10
10
10
11
10
10
11
11
10
01
01
00
00
10
10
10
00
00
00
10
00
11
01
10
11
10
10
10
10
10
00
10
10
01
11
11
00
00
00
01
11
11
00
01
11
01
10
10
10
01
10
11
00
01
00
10
10
11
11
00
10
11
00
11
01
00
10
10
00
10
01
00
01
10
10
10
00
00
11
01
01
01
00
10
10
00
10
10
00
01
10
10
00
10
00
10
11
10
01
00
10
00
00
01
00
10
11
10
10
10
11
10
10
01
01
10
00
00
01
10
00
01
00
11
10
00
01
10
11
00
01
10
10
10
00
10
11
01
11
10
10
00
00
10
10
00
01
10
01
11
11
10
00
00
10
01
10
11
01
01
11
10
10
01
01
11
10
01
01
00
00
10
10
00
11
11
00
00
00
01
00
11
01
00
01
00
01
11
10
01
00
00
10
10
00
10
10
10
11
00
10
00
10
01
11
00
11
00
01
00
01
00
11
10
01
10
10
01
10
01
00
00
11
10
11
00
11
01
10
00
00
00
11
10
00
10
10
10
10
10
11
00
10
01
11
00
00
01
10
10
10
10
00
11
00
10
00
01
00
01
10
10
10
11
10
01
01
10
01
01
00
00
10
10
00
10
10
00
01
11
01
01
10
00
10
01
10
11
00
10
11
00
01
00
01
11
10
11
00
00
10
11
10
10
00
11
10
11
00
00
01
10
00
01
01
10
00
00
10
00
01
11
00
00
10
00
01
10
11
00
01
10
10
01
01
11
11
10
10
00
11
10
01
01
10
01
10
00
00
00
10
00
00
10
00
00
00
10
00
10
00
11
11
10
10
10
11
00
11
00
00
10
10
00
11
10
00
11
11
01
00
00
00
00
11
10
01
11
10
00
10
11
10
11
01
10
10
00
11
10
10
00
00
11
01
00
10
00
00
00
10
01
01
01
00
01
10
11
10
11
10
00
00
01
10
00
00
11
00
00
01
10
00
10
10
10
00
00
11
01
00
01
11
11
01
10
10
01
00
10
01
00
10
10
00
11
10
01
01
01
01
00
10
10
11
01
10
11
01
00
00
00
11
11
00
01
01
00
10
10
00
00
00
10
10
01
10
00
01
10
11
11
00
01
10
01
10
01
11
10
10
00
00
10
00
01
00
11
10
00
10
10
00
01
10
11
10
00
01
00
10
00
11
10
00
11
10
00
00
11
10
11
00
01
10
10
00
11
01
11
01
00
00
00
00
10
11
00
01
10
00
00
11
10
01
00
10
00
10
11
11
01
00
00
00
10
11
00
10
11
00
00
10
10
01
10
10
10
00
01
10
10
11
00
01
10
10
01
11
01
10
11
01
11
10
01
10
11
10
11
01
00
00
10
01
00
11
11
00
00
10
00
10
01
10
00
00
00
10
10
01
01
10
01
10
00
00
00
11
10
01
00
11
00
00
00
10
10
00
10
10
10
01
00
00
01
11
11
10
10
10
10
00
10
00
00
01
00
01
11
01
01
01
10
01
11
11
10
01
00
10
00
10
10
10
00
00
10
00
10
10
01
10
01
10
11
00
10
10
10
10
10
11
00
10
10
10
10
10
10
00
00
00
00
10
10
10
00
01
10
00
00
00
10
10
00
01
00
01
10
10
10
11
00
00
11
10
01
10
01
10
00
00
11
10
00
10
11
00
00
00
01
00
10
10
10
10
10
10
00
10
10
10
00
11
01
10
10
10
10
11
00
11
01
00
00
00
00
10
11
00
11
01
01
00
01
01
10
00
00
00
00
00
00
00
10
00
00
00
10
11
10
01
10
11
01
11
11
01
01
11
00
10
11
01
00
10
10
10
00
00
10
00
00
10
11
00
11
01
10
10
11
00
10
00
01
00
01
10
10
00
11
10
11
10
01
00
01
10
01
00
10
11
00
11
11
00
00
01
10
01
00
10
11
00
10
10
10
00
01
11
01
00
00
00
11
00
11
10
01
00
00
01
01
10
10
10
01
10
00
00
10
10
00
11
10
01
00
10
00
10
01
01
10
11
10
11
10
00
10
11
00
01
00
11
00
11
00
00
11
10
10
00
11
10
11
00
11
00
00
10
10
11
00
11
01
00
00
10
00
01
01
10
10
00
11
00
11
11
10
11
01
00
00
01
00
00
11
10
11
11
01
01
11
10
11
01
00
10
00
00
10
00
01
10
10
00
00
11
11
10
01
10
00
00
00
11
10
11
01
00
00
01
00
10
01
11
00
10
10
10
00
11
00
00
00
10
10
01
11
00
10
00
10
00
11
11
11
00
10
01
11
11
00
10
10
10
01
10
01
01
10
11
00
00
10
00
00
00
11
11
10
10
00
11
10
00
00
11
10
10
10
00
10
10
10
00
10
11
00
00
00
10
10
11
10
01
00
01
00
11
00
01
10
10
11
00
10
11
00
01
10
01
00
00
11
10
01
00
11
11
00
11
00
00
10
00
00
00
00
00
10
11
10
00
00
10
00
10
10
01
10
00
11
01
10
10
00
00
10
01
00
00
10
10
10
00
10
10
00
10
10
01
00
00
11
01
01
01
00
01
01
11
10
10
10
00
00
00
00
11
11
10
00
10
00
10
10
00
10
10
00
00
00
00
00
10
10
00
00
10
01
00
00
11
10
10
10
00
00
10
10
00
00
00
10
11
01
11
10
11
00
00
10
11
01
01
01
10
00
11
11
11
01
01
11
00
10
11
10
00
00
11
01
00
00
10
00
01
00
11
10
01
00
00
00
10
00
00
11
01
10
10
00
00
00
11
11
11
00
01
00
11
00
00
00
00
11
10
11
00
01
10
00
01
11
00
10
00
00
01
01
10
11
10
00
10
11
00
10
10
01
10
01
10
00
10
10
01
11
10
00
01
01
11
01
10
10
00
00
00
11
10
11
00
01
00
10
00
00
10
10
01
10
11
01
00
10
00
00
10
11
01
01
11
10
00
00
10
10
00
00
11
10
01
00
10
00
01
10
01
11
10
11
00
10
01
01
11
00
10
01
10
00
00
10
10
00
01
10
11
00
10
10
00
10
00
10
10
11
11
01
10
01
00
10
01
01
10
10
00
01
11
00
00
10
11
00
11
10
00
01
10
00
01
01
11
11
00
00
10
00
00
10
01
00
10
01
10
00
00
11
10
10
00
00
10
10
00
01
00
00
11
10
10
10
11
01
00
00
00
10
11
11
00
11
00
10
01
10
11
00
00
10
00
00
10
01
11
00
00
10
10
10
01
00
11
00
10
10
00
11
10
11
00
00
10
01
01
00
10
00
10
10
11
00
01
10
11
10
00
00
00
00
11
00
10
01
10
00
10
00
00
10
10
00
10
11
01
10
00
00
00
01
10
10
00
10
00
00
10
11
10
00
00
10
11
00
00
01
10
00
10
00
10
10
01
00
01
10
00
10
00
10
00
11
11
00
10
01
11
01
00
01
10
10
00
10
00
01
11
01
00
11
01
11
11
11
01
00
11
10
00
01
00
01
10
11
10
00
01
11
00
00
01
00
10
10
10
10
10
00
00
01
10
00
01
00
11
00
11
10
10
00
10
10
01
11
11
10
11
00
10
10
00
10
10
00
10
01
00
11
11
00
00
10
11
01
10
10
10
00
01
10
00
10
00
10
00
00
10
10
00
01
10
11
10
00
10
10
10
00
10
00
00
10
11
11
01
00
01
11
01
01
11
10
00
00
00
10
11
00
00
10
00
01
10
00
10
11
00
00
10
00
01
00
10
11
10
01
01
10
01
11
00
10
10
00
11
10
01
00
10
10
11
10
00
00
00
10
10
00
11
00
01
10
11
11
00
00
00
00
10
01
11
00
00
00
11
00
11
00
10
10
11
00
11
00
01
00
11
00
10
01
11
11
10
00
01
11
10
10
00
00
00
00
01
10
10
10
10
10
10
10
00
10
10
10
10
00
01
10
01
11
10
11
00
10
11
10
11
10
10
00
00
00
10
11
00
11
10
01
11
10
01
10
10
10
00
00
00
00
10
11
00
00
00
11
10
10
10
00
10
10
10
10
10
10
10
01
00
10
10
00
10
01
00
00
10
01
10
00
00
10
10
11
01
11
10
00
10
00
10
10
00
10
11
11
11
01
10
00
00
00
01
00
10
11
01
11
01
11
10
10
00
11
00
00
00
00
10
01
10
11
01
11
00
10
10
01
01
10
00
00
11
00
11
10
11
00
10
10
01
00
11
00
00
00
10
10
01
10
00
11
11
10
00
01
01
00
00
10
11
11
11
10
10
01
00
11
00
01
01
01
10
00
11
11
10
00
01
00
10
11
11
11
01
11
00
11
01
10
10
00
01
11
10
00
00
10
01
01
00
10
11
00
01
00
00
10
10
11
00
00
10
00
00
00
10
10
00
01
10
01
01
00
01
10
11
11
10
10
00
00
00
00
10
01
10
10
10
10
00
01
10
11
01
00
10
00
01
01
10
11
10
00
00
00
01
11
11
11
10
01
00
11
01
00
10
11
00
00
10
10
00
10
00
01
00
10
00
00
11
11
10
00
01
01
01
10
10
00
00
11
10
11
00
00
00
11
11
00
11
11
11
00
00
01
10
10
10
01
01
11
10
11
01
10
10
10
00
10
01
01
00
11
00
01
01
10
10
10
10
00
01
11
01
00
00
01
11
10
11
00
10
11
10
00
00
00
01
10
10
10
11
00
11
00
00
10
11
11
10
01
01
00
11
10
00
10
10
00
10
10
00
01
10
10
11
10
01
00
10
10
11
11
00
10
10
00
10
11
11
10
10
01
11
01
00
10
11
01
00
00
01
11
01
10
00
10
11
01
10
10
00
01
00
00
10
10
10
00
01
11
10
01
01
10
10
00
01
00
00
00
11
00
10
00
00
00
10
00
10
01
10
11
00
00
10
00
00
10
11
00
10
00
10
10
10
00
11
00
01
01
10
10
10
01
00
11
10
00
00
10
10
11
01
10
10
11
11
00
00
10
00
11
10
01
01
01
00
00
10
10
10
10
01
01
11
01
11
10
11
10
10
11
10
01
01
01
11
00
10
00
00
00
10
10
10
01
00
00
11
00
00
00
11
11
01
01
00
01
00
10
10
10
00
01
10
01
11
11
00
00
11
00
11
00
01
10
10
10
00
00
11
00
00
01
00
10
10
01
10
10
10
10
00
11
11
00
00
10
00
10
00
00
10
10
10
01
10
01
10
10
10
10
11
10
01
01
01
00
10
10
01
00
10
10
01
00
00
00
10
11
00
11
00
11
00
10
01
00
11
10
11
00
01
10
10
10
01
10
10
00
00
10
10
00
00
01
01
11
00
00
01
10
00
00
10
10
00
01
00
01
00
01
10
10
00
01
11
01
00
00
00
10
10
10
00
00
11
11
11
00
00
00
00
00
11
10
00
10
01
10
01
10
10
11
10
01
00
10
10
11
10
01
00
11
00
10
01
11
11
00
10
11
10
01
10
00
00
10
10
01
10
10
10
11
11
00
01
10
00
10
10
01
11
11
01
10
10
10
00
00
00
10
10
11
11
01
00
01
10
10
10
00
10
10
00
00
11
10
01
00
01
00
01
00
10
10
10
10
00
01
11
00
01
00
00
00
00
10
10
01
00
00
10
01
11
10
11
00
11
11
10
00
11
10
00
01
11
01
00
00
11
11
01
01
01
10
00
10
10
01
00
10
11
01
11
00
11
01
10
11
10
00
11
10
00
11
10
00
00
00
11
11
11
11
11
10
01
00
00
10
00
01
00
10
11
10
01
11
00
11
11
10
11
11
00
00
10
10
10
00
00
00
10
10
10
10
01
10
01
01
00
10
11
00
10
00
00
01
10
11
11
00
00
00
11
00
00
10
10
10
00
10
00
10
10
01
10
10
00
01
00
11
00
11
10
01
01
11
00
01
10
10
00
00
10
11
00
00
00
01
00
10
10
00
10
11
00
00
10
10
00
00
00
10
01
00
01
10
11
01
11
11
01
00
00
10
10
10
01
00
10
11
11
01
01
01
11
01
10
00
10
11
01
10
11
00
10
10
10
01
00
10
11
10
01
10
00
10
01
10
00
00
10
00
00
10
00
00
10
01
10
10
11
01
00
10
01
11
00
01
10
10
01
10
11
01
00
01
01
11
10
01
00
01
10
11
00
00
10
01
00
00
10
00
11
11
00
01
10
01
00
11
00
10
10
10
10
00
00
00
01
11
00
01
10
00
01
01
11
10
10
10
00
00
10
00
00
00
10
00
10
11
11
01
00
00
10
10
11
00
01
10
10
00
11
00
00
11
10
11
10
11
00
01
00
11
01
01
00
10
11
10
11
00
10
10
00
01
01
10
11
00
01
00
10
10
10
10
00
01
00
10
10
10
10
10
10
00
11
00
01
10
00
11
00
01
01
10
10
11
10
00
11
00
11
10
10
00
10
10
11
00
11
10
00
00
00
10
10
01
00
01
10
10
10
10
00
00
11
00
11
00
11
00
00
10
10
11
00
10
10
00
10
11
01
10
00
00
00
00
10
00
10
10
11
00
00
00
10
10
11
00
01
11
10
00
10
10
10
00
01
00
11
00
01
10
10
00
00
10
11
00
11
01
01
10
00
10
00
00
10
11
00
01
10
00
00
01
10
00
00
10
00
00
00
10
10
01
01
10
10
00
01
00
11
10
11
00
00
01
00
00
00
10
10
01
10
10
00
01
10
00
01
10
00
10
10
00
11
00
01
11
00
00
01
10
00
10
10
10
11
10
00
00
10
10
00
10
01
11
10
11
10
00
11
01
01
00
11
11
00
10
11
01
01
01
00
01
10
10
00
00
00
10
10
00
00
11
11
01
00
10
11
00
10
10
10
00
00
00
00
00
00
01
00
11
01
00
10
01
00
10
00
01
11
11
01
00
11
10
00
00
11
10
00
10
10
11
00
00
10
10
00
11
11
00
00
01
01
00
00
00
11
00
01
11
00
01
00
11
10
00
11
01
10
10
11
00
10
10
10
00
10
00
00
00
10
10
11
10
10
01
00
01
00
11
01
10
10
11
01
01
01
10
10
00
10
10
10
01
00
10
11
00
01
10
00
01
10
00
10
01
00
10
10
10
10
10
00
01
00
10
00
00
10
00
11
11
10
11
10
01
00
11
10
10
01
01
00
10
10
00
01
11
00
00
10
10
10
10
00
00
11
10
00
00
00
00
11
10
10
01
10
00
00
00
01
00
11
10
00
11
10
01
10
11
01
00
00
00
11
10
11
01
00
10
10
01
11
10
00
00
00
11
10
11
10
01
10
10
01
10
10
00
00
10
10
00
01
10
00
01
00
00
01
10
11
00
01
10
01
00
11
00
01
00
10
10
00
10
10
00
00
11
11
01
10
10
00
00
11
11
10
00
10
11
00
00
10
00
01
10
10
10
00
00
00
10
00
01
11
00
10
00
10
10
01
00
01
00
11
10
01
00
00
01
10
00
10
00
10
10
00
11
00
00
00
10
10
00
10
10
01
00
11
00
10
10
10
10
10
11
00
10
10
00
00
00
00
10
00
01
01
00
11
11
10
10
00
00
00
10
11
01
01
00
01
00
11
00
01
11
01
10
11
01
11
10
00
10
10
11
11
00
00
10
11
10
10
11
01
00
11
10
10
11
11
01
11
01
01
10
01
10
10
00
00
11
00
00
10
00
10
00
00
10
00
10
10
00
10
11
00
11
10
01
10
00
00
11
11
00
00
10
10
10
10
00
10
10
10
11
01
11
01
01
01
11
00
10
10
00
01
11
11
00
00
10
11
10
10
00
10
10
10
10
01
10
00
11
01
00
10
00
00
00
01
00
11
11
00
10
00
11
00
00
10
01
00
10
10
11
10
01
01
00
10
00
10
10
10
01
10
10
00
10
11
10
11
10
10
00
10
10
01
00
01
01
00
11
01
00
10
00
10
00
11
10
00
01
11
11
00
01
10
10
10
01
00
00
00
00
10
01
11
10
00
00
10
10
00
00
00
00
10
10
10
00
00
10
10
10
00
00
00
11
01
10
11
11
00
01
10
10
00
11
00
00
00
11
00
10
01
00
00
01
11
01
10
10
11
11
00
00
10
10
00
00
00
11
01
10
11
00
10
00
00
11
00
10
10
10
00
01
10
11
11
00
10
00
11
00
10
01
10
11
01
10
11
00
01
10
10
11
00
10
11
01
10
10
11
00
01
10
11
00
00
01
11
11
11
10
00
00
11
10
00
01
10
01
11
11
00
00
11
10
01
00
01
10
10
01
10
10
00
11
10
01
11
10
10
00
01
00
00
10
10
10
10
00
00
01
00
00
11
11
10
00
00
10
10
01
00
00
10
11
00
00
10
11
01
01
00
10
11
10
10
01
01
10
11
10
00
00
11
00
01
00
01
10
11
01
10
01
00
00
10
00
11
10
10
01
00
00
10
10
00
10
00
10
11
00
10
10
01
10
10
11
00
11
00
10
10
10
00
00
11
00
01
10
10
01
10
10
00
11
10
00
00
01
10
10
00
10
01
01
10
01
00
00
11
10
01
01
01
11
10
00
10
01
10
11
00
00
10
00
10
10
10
00
10
00
11
00
00
11
11
10
00
10
01
00
00
10
00
01
11
00
11
01
00
00
00
11
00
00
10
11
01
11
10
00
01
10
11
10
00
01
00
00
00
10
10
10
10
01
10
11
11
10
10
00
10
00
00
10
00
00
10
00
10
11
10
10
00
11
00
11
01
00
00
10
00
00
10
10
10
11
11
11
10
10
11
10
11
01
11
10
01
00
00
11
10
00
10
01
00
01
00
11
11
11
10
00
10
00
10
11
01
00
11
11
01
11
10
00
00
11
11
11
01
00
11
10
00
00
11
10
00
00
10
10
01
00
10
10
00
00
10
00
11
00
00
10
01
10
11
11
01
00
11
01
01
00
10
01
00
11
11
11
00
10
11
10
10
00
00
10
10
10
01
10
10
10
10
00
00
10
11
10
01
11
11
00
01
00
10
10
01
01
10
00
10
01
11
10
00
00
11
01
01
01
10
10
00
11
10
10
11
00
00
10
01
00
10
10
00
10
01
01
01
10
10
01
00
00
00
10
10
11
10
10
10
00
10
00
10
10
11
00
01
00
11
01
10
00
10
01
01
10
11
01
00
00
10
11
00
11
01
10
01
01
01
01
11
10
00
00
00
11
11
01
00
10
00
10
10
00
10
11
01
00
01
10
11
00
01
11
10
00
00
00
10
00
00
11
10
11
00
01
00
01
11
00
11
10
11
10
11
01
01
10
00
10
10
01
00
00
10
11
10
10
10
10
10
00
00
10
11
10
01
00
11
00
00
00
10
00
00
01
10
10
10
10
00
10
00
01
00
01
01
01
00
01
00
10
10
01
00
11
01
00
00
00
00
11
11
01
01
00
00
10
10
00
00
11
10
10
10
11
10
00
00
11
01
00
10
01
00
00
10
01
10
01
01
10
11
10
00
00
00
10
10
10
00
10
10
10
10
11
10
10
10
11
11
01
11
10
10
01
00
00
01
11
10
11
00
00
10
10
10
01
11
10
00
10
10
10
01
00
10
10
01
10
00
00
00
11
10
10
11
10
00
10
10
10
10
00
00
00
01
00
01
10
00
10
11
01
10
10
10
10
01
00
10
00
00
10
11
01
00
11
11
01
11
10
00
00
00
10
10
10
01
00
01
00
10
00
00
00
11
00
00
00
00
10
10
00
00
10
10
00
00
10
10
10
00
01
11
01
01
01
10
10
00
10
10
10
00
00
11
10
01
10
11
10
00
00
11
10
00
10
11
00
00
00
10
00
10
10
00
00
10
10
01
01
10
10
10
01
10
11
00
10
01
00
01
10
00
01
00
11
01
00
10
11
10
00
11
10
01
01
11
10
10
00
01
00
11
00
00
10
10
00
00
00
10
11
00
00
00
01
01
10
00
10
00
00
10
00
01
10
00
00
00
00
10
10
10
01
11
00
01
01
00
00
00
01
10
10
00
11
01
00
10
10
11
00
00
01
10
11
00
01
10
10
11
10
00
00
00
10
10
10
00
11
00
00
10
00
10
10
10
00
11
01
11
10
10
00
01
01
00
10
01
10
10
10
00
00
11
10
10
01
01
10
00
01
00
11
10
10
10
11
00
00
11
00
00
10
10
10
00
00
01
10
10
10
10
11
01
11
00
10
10
10
00
01
10
11
00
00
01
11
10
10
00
00
10
10
00
00
10
11
00
00
10
10
01
10
00
11
10
01
01
10
01
11
11
11
00
00
00
10
01
00
10
10
11
10
01
00
11
00
00
11
00
11
10
00
11
00
00
10
00
00
10
11
11
11
00
10
10
11
01
10
00
01
10
10
00
00
10
11
00
00
10
11
00
00
11
00
10
10
10
11
00
00
10
11
01
00
00
01
00
10
10
10
00
11
01
11
00
10
11
00
10
00
10
11
00
10
10
11
10
01
11
10
01
10
11
01
00
10
11
00
01
00
11
01
10
11
01
00
10
01
10
10
00
00
10
00
11
00
00
10
11
10
10
00
00
00
11
00
10
10
10
00
01
11
10
01
01
01
10
10
11
01
11
10
00
01
10
01
10
10
00
00
01
00
00
10
10
10
00
01
10
10
01
10
00
00
00
00
00
10
10
01
01
00
00
11
11
10
00
10
10
10
00
00
11
11
01
00
10
00
00
00
00
10
11
10
00
00
10
00
11
11
01
01
11
10
11
10
00
01
11
10
00
00
11
00
10
10
00
01
10
11
00
00
00
11
10
01
10
10
11
10
10
00
10
11
00
00
11
00
11
11
01
01
00
01
01
00
10
10
01
00
00
10
11
00
01
01
11
00
10
00
10
00
00
10
00
10
10
11
00
10
10
11
10
00
11
00
01
00
10
10
00
00
00
11
10
00
10
01
10
00
01
00
00
10
00
00
11
00
11
00
00
10
00
01
00
10
10
10
00
01
10
10
11
11
00
10
11
11
10
11
00
01
01
01
10
10
01
01
11
00
01
11
00
11
00
11
11
00
00
11
01
10
01
00
01
01
10
00
10
00
00
00
10
10
01
11
10
01
01
00
00
11
00
01
00
00
11
10
00
01
01
01
00
11
00
11
01
01
11
10
10
00
10
11
01
00
11
10
11
10
10
10
10
00
00
11
00
00
11
01
01
00
11
00
01
01
00
10
10
11
01
00
10
00
01
10
10
01
00
10
00
00
11
00
10
10
10
01
11
11
11
10
00
00
10
10
00
01
00
10
01
01
10
11
10
10
11
01
00
11
11
00
01
10
11
00
10
10
00
00
10
00
00
11
10
00
10
01
00
01
11
11
11
00
11
00
01
10
00
11
10
10
00
00
11
10
10
00
01
11
10
00
10
00
00
00
10
10
00
00
11
11
10
01
00
01
11
10
00
00
10
10
10
01
11
10
01
10
10
00
11
01
01
11
10
10
10
00
10
11
00
10
10
00
00
01
01
00
11
01
01
10
00
10
10
10
00
01
00
00
10
10
00
10
01
01
10
10
10
10
00
00
10
10
01
00
11
00
11
01
01
11
11
11
00
10
00
10
00
00
10
10
11
00
11
10
10
10
01
10
00
00
00
10
00
11
11
10
10
00
00
10
11
01
10
00
00
01
10
01
10
10
00
00
01
01
01
11
10
00
11
10
10
11
00
00
00
01
11
11
01
01
01
00
11
01
00
01
10
10
10
10
00
10
10
00
00
00
11
00
01
00
10
10
10
10
10
00
01
00
10
00
01
10
10
11
11
00
00
00
11
10
00
10
00
11
10
11
00
00
00
00
10
01
10
11
01
10
11
00
10
11
00
00
00
01
10
00
00
10
01
10
00
00
00
01
10
01
10
00
10
11
00
10
01
10
11
10
00
00
00
10
10
10
00
11
00
10
10
11
10
00
01
10
00
10
00
01
10
00
00
10
10
00
01
00
00
01
00
11
00
00
01
00
00
11
00
00
01
11
10
10
10
10
10
00
00
11
00
00
01
10
11
10
01
01
10
00
10
11
01
00
10
10
00
00
00
01
11
00
00
01
00
01
01
01
10
01
00
11
00
01
00
11
00
01
11
11
01
00
01
01
10
10
01
00
10
11
01
10
01
01
11
00
00
11
10
00
00
00
11
10
10
00
01
10
01
00
11
01
00
00
11
10
10
10
00
01
10
01
11
01
11
10
10
01
00
10
11
00
00
10
00
10
10
11
10
00
10
00
01
10
00
01
00
00
10
10
11
11
00
10
10
01
11
10
00
00
10
00
10
01
01
00
00
01
10
01
00
10
10
10
10
00
10
10
10
01
00
10
01
10
01
11
10
00
00
11
00
10
10
00
00
00
10
10
00
00
10
00
10
10
00
00
10
11
00
11
01
01
00
11
10
01
10
10
01
10
01
01
00
10
01
10
00
10
10
11
00
00
11
10
11
01
01
10
00
01
10
00
00
10
00
10
00
00
10
00
11
00
00
00
00
00
11
10
10
10
01
01
01
10
00
10
10
00
10
10
01
00
10
10
10
10
00
00
00
00
10
00
00
10
00
11
11
11
01
01
10
10
01
00
10
10
00
10
10
00
01
00
10
11
10
00
00
01
01
11
01
10
10
10
00
01
10
10
00
00
10
00
00
11
01
11
10
00
00
10
00
01
00
11
11
10
00
00
11
00
11
10
11
01
01
00
00
10
11
01
00
00
11
10
10
10
01
00
01
00
10
10
10
00
00
11
11
00
00
01
01
01
11
10
00
00
11
11
00
01
11
00
01
10
01
00
01
11
11
00
00
00
10
10
01
00
10
11
00
00
00
11
10
00
00
01
10
11
00
00
00
10
11
00
01
10
01
00
10
00
10
11
10
11
00
10
00
00
11
11
00
01
11
10
11
10
01
10
11
00
11
10
00
01
10
10
00
01
10
10
00
01
11
10
01
10
10
01
10
00
00
11
01
11
10
00
10
10
00
11
10
01
01
11
11
11
10
00
10
01
10
00
01
10
10
01
10
10
00
01
10
00
00
10
10
11
00
00
10
10
11
00
10
00
01
11
00
01
01
00
11
10
00
11
10
11
00
00
11
10
00
00
00
10
10
10
00
01
10
10
10
11
01
00
01
00
00
01
00
10
00
00
10
10
01
00
11
01
00
10
00
11
00
01
11
00
10
00
00
10
00
01
11
01
00
01
01
10
00
00
00
11
10
01
10
10
10
01
00
10
01
10
01
11
01
00
00
11
10
11
00
00
10
10
00
00
10
10
00
00
00
01
00
11
10
10
00
01
10
10
10
00
10
00
10
10
00
00
01
00
01
10
11
00
00
10
00
00
10
00
00
11
01
10
00
10
10
11
00
00
10
10
00
10
01
00
00
00
00
01
10
10
10
01
00
10
11
01
00
10
00
01
01
00
10
10
01
11
00
11
10
01
11
11
00
01
10
11
00
00
11
01
00
10
01
00
00
00
01
10
01
11
10
11
11
01
11
10
00
00
10
10
11
10
00
01
00
11
10
00
11
00
10
10
10
00
10
00
10
00
00
00
00
00
00
00
01
11
10
10
00
10
11
10
10
00
01
00
11
00
00
10
11
10
10
10
01
11
10
10
01
01
10
01
10
00
10
11
10
00
00
10
00
00
01
11
01
01
11
11
00
10
11
00
00
10
00
01
10
10
10
01
10
11
00
01
01
00
00
10
10
00
10
01
00
11
10
00
00
00
01
10
00
00
00
00
10
10
10
00
10
00
01
11
10
01
10
01
10
10
01
01
11
10
00
01
00
10
10
00
00
10
00
01
10
10
10
11
01
10
00
00
11
10
10
10
11
01
10
00
00
10
10
10
00
00
11
10
00
10
10
01
00
01
10
00
11
10
00
00
10
11
00
10
10
10
01
00
00
00
11
00
11
10
00
10
11
00
00
10
00
10
10
01
00
00
00
00
11
01
01
00
11
10
00
11
01
10
11
10
00
01
00
10
10
00
10
00
00
10
01
01
01
10
01
00
00
00
01
01
11
00
00
10
10
01
00
10
10
01
00
11
00
10
10
00
10
00
01
10
10
10
11
11
11
10
01
01
01
01
10
10
10
00
00
00
10
10
10
00
11
10
01
11
00
00
00
11
00
10
00
01
10
11
10
10
00
11
00
10
10
00
00
01
11
10
11
10
00
00
10
01
00
01
10
10
11
00
01
01
01
11
11
11
10
00
00
00
00
10
11
10
01
10
01
00
00
10
11
10
00
00
11
00
00
10
01
11
00
00
10
00
00
00
01
10
00
00
10
10
10
10
01
10
10
10
01
10
10
00
11
11
10
11
00
01
01
01
00
00
00
10
00
01
00
11
00
00
11
00
01
10
10
01
01
10
00
00
10
10
10
00
11
00
01
00
11
10
00
01
10
00
11
10
00
10
10
10
11
00
00
01
11
10
10
01
10
01
10
10
01
00
01
10
11
00
11
10
10
10
00
00
01
01
00
10
10
10
10
00
10
10
00
01
11
11
10
10
01
00
00
00
10
10
10
11
01
01
10
00
00
10
10
10
11
00
11
10
10
10
10
11
11
00
01
00
10
01
00
10
00
00
10
00
00
01
00
10
10
11
00
11
00
01
00
00
01
10
10
01
10
11
00
00
11
01
01
00
11
10
11
10
10
00
01
10
10
11
00
00
01
01
10
01
11
00
00
01
10
01
10
10
10
01
10
11
01
00
01
11
00
01
00
10
11
11
00
01
10
11
10
11
00
10
11
00
00
10
01
00
10
10
00
00
00
00
00
01
11
10
10
10
10
00
01
10
11
10
00
00
00
10
10
00
11
10
10
00
01
10
11
11
00
00
00
01
10
10
10
10
11
10
11
01
00
10
11
00
00
00
11
10
00
10
11
00
10
00
10
01
00
11
00
01
10
10
01
00
11
11
00
01
00
10
00
01
10
10
10
00
00
01
10
10
00
01
00
00
00
01
11
00
01
10
00
01
01
10
10
01
00
00
00
10
10
00
00
00
10
10
00
10
10
01
00
10
01
10
11
01
00
00
11
10
11
00
00
10
10
00
01
11
11
00
00
10
00
11
10
00
01
01
00
10
00
10
10
10
10
11
00
00
00
01
10
00
01
10
00
10
10
10
10
11
00
00
11
11
00
11
00
01
00
01
10
00
00
10
00
01
00
11
00
01
00
10
10
10
00
00
00
01
01
10
10
00
00
01
10
11
01
00
10
01
00
11
01
01
00
01
10
00
10
10
01
10
11
00
00
01
10
11
10
00
00
11
01
01
00
11
01
00
00
11
10
00
00
10
01
01
11
11
01
11
10
00
01
10
10
00
00
10
10
10
01
10
01
10
10
00
10
00
01
00
10
00
01
01
01
10
01
10
10
10
00
00
10
00
00
10
10
01
11
00
11
01
10
10
10
11
11
01
00
10
00
10
00
10
00
01
00
01
00
11
10
00
00
10
00
01
00
10
10
01
10
00
00
10
01
00
10
01
01
11
00
00
10
00
00
10
10
00
00
11
10
01
01
00
00
10
11
00
01
10
10
01
00
10
00
10
11
00
00
10
10
11
00
00
00
01
11
00
00
11
10
10
00
10
10
10
10
01
00
10
11
11
11
01
10
10
11
10
10
00
00
00
10
11
01
00
11
00
11
00
00
10
00
11
10
00
11
10
01
11
00
11
00
01
11
00
00
01
00
01
01
10
10
00
01
10
00
11
11
01
10
01
00
01
00
01
10
10
00
00
00
10
01
10
10
11
01
10
01
00
00
10
00
01
10
11
00
10
11
01
10
11
00
00
10
10
11
10
00
00
11
00
00
11
10
11
00
00
01
00
10
10
11
01
01
11
00
10
00
10
11
00
01
10
11
01
01
10
10
00
00
01
11
10
01
10
00
10
10
00
10
10
00
01
00
00
10
00
11
10
01
10
00
01
00
00
10
00
11
10
00
01
01
10
00
10
10
10
10
00
10
00
10
00
10
00
00
00
10
10
00
10
11
10
10
00
01
01
10
11
00
11
00
01
00
00
11
10
11
01
00
11
10
01
00
00
11
11
00
00
10
11
01
11
00
00
11
11
10
01
10
11
00
11
11
10
00
01
10
01
01
11
11
00
00
11
01
00
10
10
00
10
10
00
01
10
10
10
10
01
10
00
11
00
00
00
00
10
00
10
10
00
00
10
00
10
10
11
00
00
00
10
11
10
11
00
10
10
11
00
11
10
01
01
00
00
10
11
01
00
11
10
10
10
00
00
10
00
00
00
10
00
11
11
11
00
00
10
10
00
10
00
01
10
00
10
10
10
00
00
00
00
01
10
11
11
10
00
10
10
00
10
00
01
10
10
11
10
11
00
10
01
00
00
11
10
00
11
10
01
10
10
01
10
00
10
10
00
11
10
11
00
00
10
10
11
00
10
11
01
00
11
10
00
01
01
11
11
11
00
11
10
10
10
01
00
00
00
10
10
10
10
01
11
01
10
10
00
00
00
10
10
01
01
00
00
00
00
00
10
10
10
00
01
01
00
10
00
00
01
00
10
01
01
10
00
10
01
00
00
10
00
00
10
00
01
10
10
10
00
10
11
00
10
01
00
10
11
11
10
00
01
10
11
01
00
01
00
10
10
00
01
10
11
01
10
11
00
01
10
00
11
10
10
01
10
11
10
01
00
00
00
00
00
10
00
01
00
00
01
10
00
00
00
10
00
11
00
10
00
11
00
01
10
10
11
00
10
11
10
01
10
10
00
00
10
01
01
11
10
00
10
01
01
10
10
01
11
00
10
10
00
11
00
00
10
00
10
00
10
11
00
01
10
00
10
00
10
10
10
10
01
01
11
00
11
00
01
11
00
00
10
10
00
00
10
01
01
10
10
11
01
01
11
11
01
00
10
00
01
11
01
00
11
10
11
11
00
01
10
01
00
10
10
11
00
00
01
01
11
10
00
00
00
00
11
11
00
10
00
10
10
00
10
10
00
00
00
11
00
10
10
01
01
00
11
10
10
01
00
10
01
00
00
00
10
10
00
00
10
11
00
11
10
10
10
00
00
10
10
01
00
00
01
01
00
10
10
00
00
00
00
10
11
00
11
00
00
10
10
01
01
01
10
10
01
10
00
10
00
00
10
00
00
01
00
01
00
10
10
01
01
00
11
10
11
01
01
00
00
10
00
11
11
10
00
00
11
10
11
10
00
00
10
00
10
01
10
00
11
00
11
01
00
00
00
01
10
01
00
11
11
10
00
00
10
00
11
00
00
10
10
00
01
11
11
00
10
10
01
10
01
00
11
11
00
11
11
01
00
01
10
10
11
00
00
10
11
00
01
10
10
00
10
00
00
00
10
11
10
10
00
01
10
11
01
10
01
11
10
01
10
10
11
00
00
00
00
10
10
00
11
01
10
00
00
10
00
10
11
10
01
10
01
11
00
00
00
00
10
00
00
00
00
01
00
01
00
10
10
11
00
10
00
00
11
00
00
11
01
10
00
11
10
10
00
00
11
00
01
01
10
11
10
00
00
10
10
00
10
00
11
10
00
01
00
10
00
01
11
10
10
10
01
01
00
10
00
00
10
11
11
10
10
01
10
00
00
00
00
11
10
00
01
00
10
10
00
00
10
10
11
10
11
11
01
11
11
11
11
11
01
00
00
00
10
10
01
01
10
11
11
10
11
01
00
01
10
10
11
01
01
11
01
01
00
10
10
11
00
10
10
00
01
10
10
00
10
10
00
00
00
10
10
10
10
11
00
00
00
01
00
10
11
00
00
00
11
10
10
00
00
10
10
10
11
00
10
01
00
00
00
10
00
11
10
10
00
00
00
10
00
01
11
00
01
11
10
00
00
11
11
11
00
00
11
10
00
00
10
10
11
10
01
11
00
11
10
00
10
10
01
10
00
00
10
00
01
00
10
10
00
10
00
10
10
10
01
10
00
00
10
01
11
01
00
00
10
01
11
01
10
11
10
10
10
11
10
00
00
10
11
10
10
01
01
10
11
00
10
00
01
00
01
00
10
10
00
10
00
01
10
01
01
00
01
00
11
10
10
00
01
11
10
10
11
01
00
00
01
10
00
00
11
01
00
00
00
00
01
10
00
00
10
10
10
01
11
10
01
00
11
01
01
00
10
10
00
10
00
01
11
01
01
11
10
00
00
00
00
10
10
11
00
10
00
10
11
00
01
10
00
00
10
10
10
10
00
00
10
01
00
01
00
10
10
01
00
10
11
10
10
00
11
00
00
00
10
00
00
01
01
00
01
00
10
10
11
01
00
10
10
11
10
00
00
10
01
00
11
10
11
10
10
10
10
10
01
00
11
11
11
00
00
10
00
00
11
10
11
00
01
10
11
10
01
00
10
01
00
10
10
01
00
11
01
01
10
00
00
10
01
00
11
10
00
10
10
00
10
00
01
00
00
11
10
00
11
01
00
11
00
11
10
00
10
10
00
10
01
01
00
10
01
11
10
01
10
10
00
11
00
00
10
10
00
01
00
11
00
01
01
10
00
01
01
11
10
00
10
10
00
10
10
00
00
10
10
01
00
10
00
00
11
10
11
00
01
01
00
10
11
10
00
01
11
11
11
10
01
00
11
01
00
11
10
01
10
00
01
00
00
01
01
11
10
10
00
00
10
00
00
01
01
10
10
10
10
01
00
00
10
01
01
10
01
11
11
10
00
00
01
10
00
10
11
11
00
11
10
01
10
11
01
10
01
01
01
01
10
01
00
00
00
10
10
00
00
00
01
10
11
00
10
10
10
00
01
01
11
10
00
10
00
00
01
10
11
00
01
10
00
10
00
00
01
00
00
10
11
10
11
10
00
01
11
00
10
10
01
10
10
11
10
01
10
11
00
00
11
00
00
10
10
10
01
10
11
11
10
00
01
10
00
00
11
11
00
11
10
00
00
00
00
10
01
00
11
11
11
10
11
11
00
00
00
10
10
00
00
00
00
10
10
10
00
10
10
01
00
10
00
11
01
11
00
00
11
01
10
00
10
01
11
01
00
11
10
00
01
10
01
10
10
01
00
01
00
10
00
10
10
01
10
01
10
01
11
10
10
10
11
10
00
01
00
00
00
10
10
11
10
00
11
10
00
01
10
10
10
01
00
00
11
00
00
01
10
00
11
00
11
10
00
10
10
01
00
00
10
11
00
01
11
00
01
10
00
10
00
11
11
10
00
00
10
00
00
11
10
11
00
10
00
00
11
00
00
11
10
10
01
01
10
00
01
10
00
10
11
00
00
00
10
00
00
10
00
00
01
11
01
11
10
10
10
11
11
10
11
00
01
10
00
10
00
01
00
10
00
10
10
10
01
00
11
11
10
10
01
10
11
10
00
01
11
00
10
10
00
10
00
10
11
00
00
10
00
10
10
00
10
10
00
11
00
11
10
00
00
10
10
00
10
10
00
10
11
01
10
11
11
10
00
00
11
10
10
00
11
11
00
10
10
10
00
10
00
01
00
10
11
10
00
11
01
11
01
00
01
00
00
00
00
10
11
00
00
00
00
10
00
10
10
10
11
01
10
00
11
11
11
00
11
00
01
10
00
11
10
10
01
10
10
10
11
00
11
01
00
10
10
00
11
11
01
01
10
10
00
01
01
00
10
10
10
11
10
01
10
00
01
01
00
01
10
10
10
00
00
00
10
10
00
01
10
10
01
10
00
11
11
00
00
10
00
11
01
00
11
11
00
11
00
10
10
10
00
00
10
10
00
10
00
01
00
10
00
10
00
00
00
11
01
11
10
10
00
00
10
01
00
10
10
00
10
00
01
10
10
10
00
10
00
01
10
00
01
11
11
01
01
01
11
00
00
10
10
00
11
10
01
10
00
01
10
10
10
00
01
01
00
00
10
00
10
10
00
11
00
01
10
10
01
01
01
10
10
00
10
01
10
01
00
00
10
10
10
00
10
10
00
01
11
10
01
01
01
11
11
00
10
00
00
10
00
00
01
01
11
11
01
10
10
10
11
00
01
10
10
10
10
00
10
10
00
00
01
10
00
01
00
01
00
10
11
00
01
10
10
00
01
10
11
00
00
00
11
01
10
00
00
10
01
10
10
00
10
10
10
10
00
10
11
11
10
10
10
11
01
10
10
10
10
00
10
10
00
11
00
10
01
00
10
10
00
00
10
10
00
00
11
11
10
10
11
10
00
10
01
11
00
01
11
10
00
00
11
10
00
10
00
00
10
10
01
11
00
00
10
00
11
10
10
00
00
10
11
01
11
01
10
10
11
11
00
10
10
01
00
00
10
00
11
10
01
00
01
10
01
11
10
10
01
01
11
11
01
10
11
00
10
00
00
10
00
11
10
01
10
00
11
00
11
01
11
11
01
01
10
00
00
10
10
01
00
10
10
00
11
00
00
10
10
01
00
00
10
11
10
11
11
00
01
10
01
10
01
00
11
11
00
01
10
00
11
10
00
10
11
00
10
10
00
11
10
11
11
00
10
10
00
11
00
00
10
11
10
10
01
00
01
10
10
10
00
00
10
00
10
00
01
00
01
10
11
00
00
11
11
00
01
10
11
01
01
10
00
00
11
01
01
10
00
00
01
00
11
00
00
10
10
10
10
10
01
10
01
10
10
01
00
00
00
10
10
00
00
11
00
00
00
00
01
00
00
01
10
01
01
10
00
00
10
00
00
10
00
00
10
10
00
00
10
11
11
10
01
00
10
10
11
01
01
01
11
10
11
10
01
00
11
11
00
01
00
00
10
10
10
10
00
00
00
10
00
10
11
10
00
11
11
01
00
00
01
00
11
00
01
10
11
01
00
00
00
01
10
10
00
01
00
00
10
10
10
00
00
10
10
00
01
00
01
10
01
10
11
00
00
10
10
00
01
10
01
00
10
00
00
10
01
00
10
11
00
00
10
11
00
10
00
10
00
00
10
10
00
00
10
11
00
00
10
00
00
00
11
10
11
01
10
10
11
00
11
00
00
00
10
10
00
00
10
10
01
10
01
00
00
00
10
00
10
10
00
01
10
00
00
10
10
10
10
00
00
01
00
01
10
00
00
01
00
01
11
10
10
01
00
11
00
00
01
00
11
10
11
10
10
01
10
01
01
11
10
00
10
11
00
00
00
01
10
10
00
11
00
00
01
00
00
00
00
10
00
00
10
01
00
00
00
11
10
00
11
10
10
01
00
10
00
10
01
01
10
00
01
01
01
01
10
11
10
01
11
10
01
00
10
10
01
00
00
10
00
00
10
00
10
10
10
00
10
10
11
01
10
00
10
10
10
01
01
11
00
10
10
10
00
00
10
10
10
00
00
00
01
10
01
01
00
10
01
10
11
00
00
00
00
10
00
10
11
00
00
01
00
00
11
10
00
11
01
00
10
00
10
10
00
00
00
10
10
11
11
11
00
01
01
11
00
00
11
11
00
11
10
00
01
10
00
00
01
10
10
10
10
00
00
01
01
01
10
01
00
00
00
01
10
10
00
10
00
01
10
01
10
11
00
00
10
00
00
11
00
01
00
00
11
11
10
00
10
00
10
00
10
10
00
01
00
00
10
00
11
00
01
00
11
10
01
01
10
01
01
11
11
00
00
10
10
00
00
10
00
00
01
11
10
01
01
00
00
01
10
11
10
00
10
10
00
10
00
11
01
11
01
11
00
00
11
01
11
00
01
11
10
00
00
10
10
00
00
10
11
10
00
00
10
00
00
00
10
11
00
10
10
00
00
01
01
10
10
01
00
00
00
00
11
11
00
01
00
10
10
10
00
10
10
00
11
10
10
00
00
00
00
11
00
10
10
10
01
00
11
11
10
10
01
11
00
00
00
01
00
00
11
10
01
00
00
00
11
10
01
10
10
00
01
10
11
01
01
01
11
01
10
00
00
00
10
10
00
01
00
10
00
01
00
01
00
00
10
01
00
00
00
11
00
01
01
01
00
00
01
10
10
01
00
10
01
11
11
10
10
00
10
00
00
01
11
11
00
00
11
00
00
11
10
01
00
11
01
00
10
00
10
10
01
00
10
11
10
10
10
10
00
00
01
10
00
10
01
10
11
11
10
01
01
10
00
11
00
00
10
11
11
00
00
11
10
00
10
10
01
10
01
00
10
00
00
01
10
11
00
10
01
00
11
10
01
00
00
01
00
10
11
10
00
11
10
01
00
00
10
11
00
01
00
10
00
10
10
00
00
10
10
00
01
01
00
00
00
00
01
10
11
11
00
01
10
00
00
01
10
10
00
10
01
01
01
11
00
00
01
00
11
10
00
00
11
00
00
11
10
10
10
00
01
10
10
10
00
10
11
00
00
01
00
10
11
10
01
10
10
00
00
10
10
00
00
00
00
10
00
01
00
01
01
10
11
00
10
01
00
10
11
01
01
00
11
10
10
00
11
00
01
10
10
00
01
00
00
10
11
00
01
00
11
00
00
00
11
00
00
01
00
00
10
10
11
00
10
11
00
10
00
01
00
00
11
10
11
10
11
00
10
11
00
00
11
00
00
00
01
00
10
10
10
00
11
00
00
01
10
11
10
10
11
10
10
01
10
10
00
00
10
10
00
00
00
10
10
01
00
11
11
11
01
00
11
00
01
10
10
00
01
11
10
00
00
00
10
01
00
11
10
01
10
01
01
10
01
01
00
10
10
11
11
00
01
10
11
00
00
11
10
01
00
10
10
00
00
10
11
00
00
10
10
00
10
11
00
11
00
11
11
00
01
00
01
10
10
00
10
00
00
10
10
11
00
01
00
10
00
10
00
01
10
11
01
01
10
11
10
00
00
11
01
10
00
00
00
10
01
00
10
10
00
10
00
00
10
10
01
01
00
00
10
10
00
11
10
01
10
10
10
10
00
01
11
11
01
00
00
10
00
11
10
00
00
10
10
01
11
00
10
10
01
11
00
11
00
10
11
00
10
00
10
10
11
10
01
10
10
01
00
00
00
00
11
10
10
11
01
00
00
10
10
10
00
10
01
00
00
10
00
00
10
10
10
10
10
00
11
01
01
10
01
00
00
00
01
10
10
11
11
00
00
11
01
00
10
10
10
00
10
00
00
11
00
00
10
10
10
11
10
00
00
00
10
00
00
10
10
11
01
00
11
10
11
11
01
01
01
10
11
11
00
00
11
00
11
00
00
11
10
01
10
11
01
10
01
00
01
10
10
00
00
00
10
00
00
11
10
01
01
11
00
00
10
10
10
00
00
00
00
11
10
10
01
11
00
11
10
00
10
10
01
11
10
00
00
10
10
00
00
00
10
11
11
10
10
00
00
00
00
00
11
10
11
01
10
00
00
01
11
01
00
11
10
00
10
10
00
01
00
00
10
11
11
01
10
10
00
00
10
10
00
11
00
10
10
00
10
10
10
10
01
00
10
01
00
00
00
11
10
01
00
10
10
00
10
01
10
11
11
10
00
10
00
10
10
01
00
01
00
10
10
10
11
10
11
10
01
10
10
00
01
00
00
10
11
10
01
11
11
01
11
01
00
01
10
11
00
01
01
10
00
01
10
01
10
10
11
01
00
10
10
00
10
00
00
11
00
10
10
10
01
00
10
01
11
00
00
11
00
11
11
00
10
10
10
10
01
10
01
10
00
10
00
00
01
10
10
00
00
10
10
00
00
11
00
10
00
10
10
10
11
00
00
00
10
10
00
11
10
01
01
00
01
00
10
10
01
00
10
10
10
01
00
10
10
01
01
00
00
01
10
10
10
11
10
10
01
00
11
10
01
10
01
00
10
01
01
00
10
10
00
00
10
11
11
00
10
01
10
01
00
11
11
00
10
00
10
10
10
10
00
00
00
10
11
01
10
00
00
00
11
10
00
11
10
00
11
00
01
11
11
00
10
10
11
10
11
11
00
00
10
00
00
11
00
00
10
10
01
10
01
11
00
10
00
00
00
00
10
10
11
01
01
01
10
10
00
11
11
00
01
10
10
10
10
00
11
01
00
11
00
10
11
00
10
01
00
11
10
11
10
10
10
00
10
11
01
01
00
00
00
01
00
10
11
01
00
10
10
10
11
11
00
10
10
01
00
00
01
10
10
10
01
00
10
10
11
01
11
11
01
11
11
10
01
01
10
01
10
10
10
00
00
10
00
10
00
10
00
00
10
10
01
00
01
10
10
01
10
10
00
00
10
00
10
01
00
10
01
10
00
00
10
10
00
11
10
10
01
01
10
10
00
01
00
01
11
01
00
00
00
00
10
10
10
00
11
10
00
10
00
10
00
00
00
11
00
10
10
11
10
01
00
00
10
00
00
11
11
11
10
00
00
00
10
10
01
11
00
00
10
10
10
10
00
10
10
01
10
10
10
00
00
11
10
00
10
10
01
11
10
00
00
10
00
00
10
11
01
00
00
10
11
11
00
11
11
10
10
10
00
01
10
11
11
01
01
00
01
00
11
01
10
10
01
00
11
01
00
10
10
00
00
10
11
11
10
11
01
00
00
00
10
11
01
10
00
01
10
11
10
00
11
10
10
10
00
00
10
10
00
00
00
10
11
00
00
00
11
00
00
10
00
00
10
10
01
11
11
10
10
11
00
11
11
01
00
10
00
00
11
10
01
11
01
10
00
01
10
11
10
11
00
11
11
00
00
11
00
00
01
01
11
10
01
10
01
00
11
01
01
10
11
00
00
10
11
00
00
10
10
01
00
10
10
00
10
01
00
00
00
00
00
10
11
00
01
10
00
00
00
00
10
10
10
10
00
00
10
00
01
00
10
10
11
10
01
10
01
00
00
00
10
11
01
10
00
00
10
11
00
00
10
00
01
11
00
10
00
00
11
11
01
10
10
10
01
10
10
00
10
01
00
11
10
10
00
00
01
10
11
10
00
01
10
10
01
10
10
01
10
10
00
01
11
01
11
00
01
01
10
00
10
10
10
10
01
11
11
01
01
01
11
00
00
10
10
01
10
10
01
00
10
10
10
10
10
11
01
01
01
00
00
01
11
00
10
10
01
10
11
00
10
10
01
00
10
10
10
11
10
00
10
01
11
01
10
00
00
11
11
00
01
11
01
00
10
00
11
10
00
10
10
10
00
01
01
00
00
01
10
11
00
01
10
00
11
00
01
11
10
00
11
10
00
01
11
00
00
00
10
11
01
00
10
01
00
00
10
10
00
01
10
10
11
10
00
00
11
10
10
00
10
10
00
01
00
00
00
11
00
00
10
11
00
01
10
00
11
01
11
11
00
11
01
00
01
10
11
01
10
00
01
00
11
01
10
00
11
10
01
11
01
10
11
10
00
01
10
10
01
10
00
10
10
00
00
11
11
01
10
11
10
01
00
11
00
00
10
11
00
00
10
00
11
10
01
00
00
10
11
01
00
00
10
10
10
00
00
10
00
00
10
10
00
01
00
10
00
00
10
00
10
10
10
11
11
10
11
10
10
10
10
00
00
01
10
10
00
10
10
00
10
00
01
10
01
10
11
10
10
11
10
01
00
01
00
10
00
00
10
11
01
00
11
00
10
00
10
10
00
10
11
10
00
11
11
11
10
00
01
00
01
01
11
11
00
00
10
01
00
10
00
00
10
11
00
10
01
00
00
11
01
00
10
01
10
11
00
00
01
00
00
11
01
10
10
00
00
00
10
10
00
10
00
10
00
01
10
00
00
11
01
00
01
11
10
00
00
01
00
10
11
01
11
10
01
11
10
00
10
00
00
11
10
10
01
00
10
01
10
00
01
10
00
01
00
10
10
11
00
11
11
11
10
10
11
01
11
01
00
10
10
01
00
10
11
01
00
11
00
00
11
00
10
10
00
00
00
00
10
10
11
10
01
10
10
00
00
00
11
10
00
10
11
10
00
10
01
10
01
10
10
10
01
00
10
00
00
10
11
10
00
10
10
10
10
00
10
01
01
01
00
10
00
00
10
00
10
00
00
10
11
10
01
11
01
10
01
01
01
10
00
00
10
00
11
10
01
00
00
10
10
01
10
00
00
00
11
00
01
11
10
00
00
11
10
10
11
00
00
00
11
00
10
10
10
00
01
01
11
00
01
10
01
10
11
00
01
11
11
01
10
11
00
00
10
01
11
00
01
10
01
11
11
00
11
10
10
10
00
10
10
00
10
00
11
11
00
10
01
10
11
00
10
10
00
10
11
01
01
00
10
00
00
11
10
10
00
00
00
00
00
00
10
10
10
11
10
00
10
01
10
01
11
01
10
10
00
10
10
00
10
10
00
01
10
10
11
11
00
10
10
00
11
11
00
00
01
01
01
10
00
10
10
00
10
00
00
11
10
11
10
11
00
11
00
11
11
00
10
10
00
10
10
00
01
10
01
01
00
11
10
00
00
00
01
10
11
01
00
01
11
11
00
11
11
00
00
10
00
10
00
01
10
10
10
01
10
10
00
10
11
10
00
00
11
00
00
00
10
10
00
00
00
11
01
00
10
00
00
00
10
10
00
01
00
10
11
00
01
11
00
11
10
11
00
10
10
00
01
11
01
00
11
00
00
10
00
10
11
11
00
11
00
10
01
00
01
01
00
10
10
11
00
00
00
10
10
00
10
10
10
01
00
11
00
10
11
10
10
00
00
11
10
11
01
10
00
11
01
00
00
11
10
00
01
11
10
00
00
11
10
10
01
01
10
10
01
10
11
10
10
11
01
01
00
00
10
11
00
01
10
10
11
00
00
00
00
10
11
00
00
11
01
00
11
10
11
00
01
10
01
10
10
10
01
11
10
11
01
00
11
00
00
00
10
10
11
11
00
00
00
00
11
10
00
01
00
10
11
10
00
01
11
11
01
11
11
01
10
01
01
10
10
11
00
10
11
00
01
10
11
00
00
11
00
10
11
00
10
00
00
11
01
01
10
01
10
10
10
00
10
10
00
10
00
00
00
10
10
00
11
00
01
10
11
00
00
00
10
10
00
10
10
10
10
10
00
10
10
10
01
00
10
00
01
10
11
00
11
11
10
10
10
10
00
10
10
01
00
11
10
01
10
10
00
11
00
10
10
00
10
00
00
00
00
10
10
10
10
10
10
00
10
10
00
00
10
00
10
10
00
00
10
10
10
01
10
10
01
01
10
11
10
00
00
10
10
00
10
11
01
00
00
10
00
01
00
10
01
11
11
00
10
10
10
00
01
01
11
11
01
00
10
10
10
00
00
10
01
00
00
01
10
01
10
01
10
10
11
10
00
00
10
01
00
01
11
11
01
00
00
00
00
10
10
00
00
00
10
11
11
11
10
00
00
11
11
00
10
11
00
10
11
10
01
00
00
00
10
00
11
11
01
00
11
00
00
10
00
00
10
10
10
00
00
10
00
00
00
11
10
00
00
01
10
00
01
10
11
00
00
00
00
00
00
11
11
10
10
01
11
10
10
11
00
00
00
00
00
10
10
01
00
10
00
01
00
01
10
11
11
00
10
01
10
10
10
00
00
10
10
00
00
10
00
00
10
00
11
10
00
10
00
00
00
01
10
01
00
00
00
11
01
01
01
11
00
10
10
11
11
00
01
01
00
10
11
10
01
00
10
01
10
10
10
11
00
10
01
01
00
11
11
11
10
11
01
01
00
10
10
00
00
01
01
10
10
00
00
11
00
10
00
00
11
11
00
00
11
10
01
11
11
10
10
01
10
00
00
00
10
00
01
10
01
00
10
10
01
00
10
11
11
11
10
10
10
11
00
01
00
10
11
00
00
10
00
00
11
10
10
01
11
00
10
10
00
10
11
11
10
00
00
00
11
11
00
11
10
01
00
11
11
01
00
11
00
00
11
10
00
00
11
10
11
10
10
10
00
10
11
01
01
11
11
11
10
10
11
11
00
00
11
10
00
00
00
10
10
10
11
00
00
01
00
10
01
00
11
01
00
10
10
01
00
01
10
00
00
01
00
10
00
00
10
11
10
00
10
00
10
10
10
10
00
01
10
01
10
11
01
10
01
01
11
10
10
10
11
00
00
10
00
10
10
00
00
00
00
01
10
00
00
00
00
10
00
11
11
10
01
11
11
00
10
00
01
11
11
01
01
11
10
00
00
10
10
01
00
11
10
01
11
01
00
10
01
01
01
10
10
00
00
11
10
10
01
00
10
11
00
11
10
00
01
00
10
00
10
00
00
10
00
01
10
10
01
00
11
01
00
00
10
10
10
10
01
11
10
00
11
10
11
00
01
00
11
10
10
00
11
01
10
01
01
10
10
00
01
11
01
00
10
10
10
00
00
01
10
10
10
01
10
00
10
10
10
11
11
00
01
10
01
01
00
11
11
00
01
01
10
00
00
10
10
10
00
00
10
10
10
11
00
01
00
01
00
00
10
00
10
00
11
00
10
00
00
01
11
10
11
00
01
01
01
00
00
10
10
11
01
00
10
11
00
10
00
00
11
01
00
01
10
00
10
10
10
10
00
00
11
00
01
11
10
10
01
00
01
00
11
11
00
10
10
00
01
10
10
01
11
10
11
00
00
11
10
10
01
00
10
11
00
01
10
10
10
00
10
00
00
10
00
10
11
00
00
01
10
00
00
11
01
00
00
10
01
01
11
01
01
11
11
00
01
10
10
01
00
11
10
10
01
10
10
10
00
00
10
10
10
00
00
10
11
00
00
00
10
11
00
11
10
00
10
10
10
00
00
10
00
01
11
00
00
00
01
10
11
01
00
10
00
01
10
11
01
10
10
01
00
00
00
11
00
00
11
10
11
11
10
00
11
11
10
00
01
00
00
00
11
10
00
00
10
10
00
10
01
00
00
00
10
01
10
00
10
00
00
00
11
10
10
01
10
11
01
10
10
10
10
01
11
11
00
01
01
10
00
00
10
00
10
10
00
00
10
10
11
00
01
11
11
00
10
11
11
00
00
10
01
10
00
00
10
01
01
00
10
11
00
00
10
00
01
00
10
10
10
00
11
00
10
11
01
01
01
10
00
00
01
10
10
01
00
10
10
10
01
10
00
00
11
10
01
10
10
10
10
10
00
00
01
10
01
01
11
10
00
00
10
00
00
10
11
00
00
00
11
00
10
11
10
00
00
11
00
00
11
00
01
00
11
01
01
10
00
01
10
11
11
10
00
00
00
11
11
00
10
01
00
11
00
00
01
10
10
01
01
10
00
10
00
01
00
10
10
10
10
10
10
00
00
11
10
00
10
00
01
11
00
10
10
00
10
10
00
10
10
10
10
10
00
11
11
10
11
10
10
01
00
10
10
01
00
01
11
10
01
00
01
10
10
00
10
00
01
01
11
01
00
10
10
11
01
11
10
00
00
10
10
01
01
11
10
00
00
01
10
10
10
11
00
00
01
00
00
10
10
11
01
10
10
10
00
00
10
01
00
10
00
01
00
00
00
11
10
11
10
00
00
10
10
00
10
00
11
00
01
11
10
11
10
11
10
01
00
00
10
10
10
00
01
00
10
10
01
10
01
00
10
10
11
10
01
10
00
01
11
00
10
00
00
11
10
10
10
01
00
10
10
00
11
01
10
10
01
01
00
10
01
10
10
10
10
01
10
10
11
00
10
11
00
00
11
10
01
10
01
10
10
10
10
00
00
00
10
10
01
10
10
00
01
10
11
00
00
10
10
00
01
10
10
00
00
00
11
10
10
00
00
01
10
10
00
10
10
10
00
10
11
11
01
01
11
10
00
00
10
11
00
01
00
00
10
00
10
10
00
00
11
10
01
11
00
00
01
00
10
00
10
10
01
00
01
01
00
10
00
00
00
00
10
00
10
10
00
00
00
00
10
11
01
11
00
00
00
00
01
11
10
11
00
00
11
10
01
00
10
10
11
11
00
00
10
00
01
00
00
10
11
00
00
00
10
10
11
01
00
01
00
11
11
01
00
10
00
01
00
00
00
10
10
01
11
11
10
11
00
00
11
00
10
10
10
00
01
01
11
10
10
01
11
11
11
00
01
00
10
10
01
00
11
10
10
10
11
10
10
01
00
11
00
01
00
01
00
11
01
01
10
00
11
10
11
00
00
11
10
11
11
11
01
00
00
10
00
11
10
00
01
10
10
00
10
10
10
00
01
10
00
10
01
10
00
10
10
00
00
11
11
00
11
00
00
01
01
10
10
10
01
10
11
01
01
10
00
11
10
10
00
00
11
10
00
10
00
00
00
11
10
10
00
01
10
00
00
00
11
01
10
10
00
11
10
00
00
01
10
10
11
10
10
11
00
10
01
10
10
10
00
00
10
10
11
00
00
11
10
10
11
10
10
10
10
00
00
10
00
01
00
00
10
10
01
01
01
00
10
10
01
00
00
10
10
00
11
10
00
00
10
00
00
10
10
00
10
01
10
01
01
10
11
10
00
10
01
10
00
00
10
10
01
11
11
10
00
00
10
00
00
10
00
01
00
10
10
00
00
10
00
10
11
00
10
00
00
00
10
10
00
11
10
11
11
11
10
00
10
11
10
00
00
00
00
11
01
00
10
10
01
00
00
11
10
11
10
01
10
01
10
00
01
10
01
10
11
00
10
10
10
10
10
11
10
01
10
01
01
10
01
10
00
00
01
10
11
11
01
00
01
10
00
00
10
00
10
10
11
10
00
10
00
10
11
10
00
11
01
00
01
10
11
00
00
00
11
10
00
11
01
10
10
10
00
11
10
10
10
01
01
10
10
01
10
10
00
10
10
10
00
00
01
01
11
10
10
11
00
01
10
00
00
11
01
10
11
00
11
10
00
10
11
00
00
00
01
01
10
00
00
10
10
00
01
11
11
00
10
10
10
11
01
01
10
10
01
10
11
01
11
00
00
01
10
10
00
00
10
11
00
00
10
10
10
01
10
00
10
00
10
00
00
00
00
00
10
10
10
11
00
11
10
00
01
10
11
00
00
11
00
01
11
11
10
01
10
10
10
00
01
10
11
00
11
10
00
11
00
01
10
01
01
00
10
10
10
00
00
11
00
00
11
01
10
01
10
11
00
10
00
00
11
10
10
00
10
01
00
00
00
00
11
00
01
10
00
10
10
00
01
00
10
00
01
00
00
01
10
10
11
10
10
00
01
11
10
01
00
00
11
11
10
00
00
10
10
01
00
10
10
01
00
00
10
01
00
10
10
00
01
10
11
10
00
11
00
11
11
00
00
00
11
00
10
10
11
10
00
10
10
10
00
00
00
00
00
11
10
01
11
10
00
01
00
10
11
10
11
10
00
01
00
01
10
00
01
00
01
10
00
00
10
00
11
10
00
10
11
01
00
01
10
10
00
10
10
01
00
10
10
10
00
00
10
11
00
01
00
10
11
00
11
11
01
10
11
01
01
01
11
01
10
10
01
01
10
00
00
10
10
00
01
01
10
10
00
10
01
10
10
10
00
10
00
01
11
11
10
01
00
01
10
00
01
11
10
11
00
00
00
00
11
10
10
00
00
10
01
01
11
10
10
10
11
00
01
11
11
00
10
11
00
10
00
00
10
10
01
01
00
00
11
01
11
10
10
01
10
10
00
01
11
01
01
10
11
10
00
01
10
00
10
00
11
11
00
11
00
01
10
01
00
10
01
00
11
00
10
10
01
00
10
00
00
00
01
10
01
10
00
10
00
11
10
11
10
11
00
10
00
01
00
11
11
01
10
10
01
10
10
00
00
10
10
01
00
01
00
00
01
10
11
10
10
01
00
01
00
11
10
10
00
01
11
11
01
00
10
01
10
10
01
00
10
10
11
01
10
00
00
11
10
10
00
01
10
11
00
01
11
11
00
10
10
00
00
00
10
10
11
01
10
00
10
00
00
10
00
10
01
10
00
00
11
00
01
11
11
11
01
11
10
10
00
10
10
00
00
11
10
01
10
10
00
11
00
00
10
10
10
00
10
00
00
10
11
10
11
11
01
10
11
00
01
10
01
10
01
00
10
00
10
00
00
00
10
10
00
00
11
10
11
11
01
00
01
10
00
10
01
10
10
00
00
00
11
01
11
10
00
10
00
10
00
01
10
10
10
10
10
01
01
10
00
00
10
10
10
00
10
10
01
01
00
10
10
11
10
10
01
00
10
11
00
00
00
11
10
10
11
11
10
10
10
00
01
00
10
01
11
01
11
11
00
11
10
00
10
11
01
00
00
00
10
01
11
10
11
10
01
10
00
00
00
00
10
11
01
01
01
11
00
00
00
10
11
00
01
11
10
00
10
10
00
10
11
10
00
10
00
11
11
00
11
00
10
00
00
00
10
10
00
00
00
10
11
10
00
11
10
00
11
10
10
10
10
00
00
11
00
10
00
01
11
10
01
10
00
00
10
10
11
10
00
00
11
00
01
00
10
10
00
00
00
11
10
00
11
10
00
01
00
00
10
00
01
00
10
01
00
11
00
01
11
10
00
00
10
11
10
10
01
00
00
01
01
10
01
00
00
01
10
11
10
01
00
00
10
10
10
00
11
00
00
10
10
00
01
10
10
00
10
10
11
00
10
10
10
10
00
10
00
10
00
00
00
10
11
10
11
00
00
00
11
11
11
10
11
10
00
00
11
10
00
00
01
01
01
10
10
10
10
00
00
10
10
10
00
11
10
00
10
00
10
00
10
00
01
01
00
11
10
00
01
00
00
11
00
00
10
11
10
10
01
00
10
10
10
10
00
01
01
00
00
00
11
01
11
10
11
00
01
10
11
00
01
01
10
00
00
11
10
01
00
11
11
11
00
11
10
01
00
11
10
00
01
01
01
10
10
00
10
00
10
11
01
01
01
00
11
01
11
10
11
01
11
10
10
11
00
01
10
00
00
10
01
11
01
00
00
11
10
00
00
10
11
10
00
00
01
01
10
10
01
00
10
01
00
11
01
10
10
01
00
11
01
00
10
10
11
00
10
11
10
10
00
10
10
10
10
00
00
10
11
00
00
10
10
10
00
11
11
11
00
00
10
10
10
01
01
11
10
00
00
00
00
01
10
00
00
01
00
01
00
10
11
00
11
00
10
10
11
00
10
00
11
10
10
10
10
00
11
01
00
10
01
10
00
10
11
00
00
00
10
10
11
10
01
00
00
10
01
00
00
00
00
10
10
00
11
10
00
10
11
11
00
00
10
00
10
11
10
10
00
00
00
00
10
00
11
01
00
00
00
10
00
10
01
10
00
10
00
11
10
00
10
10
10
10
10
00
00
11
11
10
11
10
10
10
01
10
01
10
10
01
01
01
01
00
10
01
01
10
10
11
00
00
01
00
10
01
00
11
00
11
10
00
10
10
11
00
01
10
00
11
01
01
10
10
00
11
10
11
00
00
10
00
10
00
01
10
10
00
10
00
00
01
10
01
10
01
01
10
10
10
01
00
11
10
01
00
10
11
00
10
11
01
00
10
11
01
01
00
10
01
10
10
00
10
10
11
01
00
10
10
00
00
11
00
10
10
01
00
11
10
11
01
11
00
00
01
11
00
10
10
00
10
10
00
01
10
10
10
00
00
00
00
01
11
00
00
10
10
01
01
01
10
10
10
10
10
01
10
10
10
00
11
00
01
11
00
00
11
10
00
00
01
11
10
00
10
10
00
01
11
11
11
00
11
01
00
10
10
10
00
10
00
00
11
10
10
01
11
10
00
11
00
11
10
00
10
00
00
00
01
00
10
01
10
10
00
00
11
01
00
11
10
01
00
01
01
10
10
00
10
10
10
00
00
10
00
10
01
01
10
10
10
11
01
00
10
00
10
10
00
00
01
10
10
10
10
01
10
10
00
10
10
00
10
00
11
11
11
00
00
00
00
11
11
00
00
00
10
10
01
11
10
00
00
01
10
00
00
10
10
11
10
00
00
00
01
10
01
10
11
01
10
11
10
10
00
10
01
11
10
00
00
11
10
10
11
00
10
11
10
00
11
00
00
00
00
10
10
01
10
11
01
00
00
10
10
11
11
00
00
00
10
00
00
10
11
10
11
10
01
00
00
00
10
00
01
11
10
10
10
00
10
10
00
00
00
00
00
00
10
01
01
10
11
11
10
11
10
01
00
10
10
01
00
00
10
11
00
01
00
01
00
11
11
00
01
10
00
01
10
10
11
00
10
10
10
00
00
01
00
11
11
10
00
10
00
10
10
00
10
10
00
00
00
11
00
11
11
00
10
01
00
00
10
10
10
10
10
10
11
11
00
10
00
00
10
00
10
11
00
11
10
10
01
10
10
01
00
10
11
00
11
00
00
00
10
10
00
00
11
00
10
00
01
00
00
10
11
00
00
10
00
11
00
10
01
01
10
10
10
10
10
10
11
00
00
01
11
11
01
00
00
00
10
10
11
11
01
00
00
00
11
00
10
01
10
00
10
10
00
01
11
00
10
11
11
11
11
01
00
10
11
11
11
11
00
01
00
10
11
10
01
00
10
00
10
00
00
00
11
00
01
10
11
01
00
00
10
10
00
10
10
11
00
00
10
01
10
11
10
00
00
01
10
11
11
00
10
00
00
11
00
11
00
00
10
01
10
01
01
10
10
10
11
01
00
11
01
10
10
11
00
10
00
00
10
01
11
01
01
10
11
10
11
10
01
00
01
11
11
01
11
01
00
00
00
11
10
00
00
10
10
10
00
00
01
10
00
10
11
10
11
10
01
11
01
00
00
00
10
00
01
10
10
00
11
10
00
10
10
10
00
00
10
00
01
10
01
01
00
01
10
00
10
01
10
00
00
11
10
11
11
10
00
10
01
00
10
00
10
00
00
10
01
01
10
10
01
01
10
00
10
00
00
11
11
10
10
01
11
11
01
01
10
10
01
00
10
10
01
00
00
10
11
10
11
00
00
11
01
00
10
00
00
00
10
01
00
10
10
10
00
10
00
00
00
00
10
00
11
00
01
10
11
10
10
11
00
11
11
00
01
00
00
10
10
00
00
00
11
10
10
10
10
00
10
00
10
00
10
00
00
11
01
10
10
10
00
10
10
00
10
00
10
01
10
00
11
00
00
11
10
11
01
11
11
11
10
00
10
10
00
01
11
11
01
10
01
00
11
10
01
00
11
10
01
01
10
11
10
00
00
00
10
10
01
01
10
10
11
00
11
10
00
01
11
01
11
00
00
00
01
11
10
00
00
00
10
01
10
00
00
11
11
11
00
10
00
00
10
10
10
01
01
00
10
00
10
01
11
00
00
10
00
11
10
00
10
10
01
10
10
00
01
00
01
10
11
10
11
11
01
00
00
10
10
11
00
00
10
10
01
10
10
00
00
00
00
00
10
11
00
11
10
10
00
00
00
10
00
00
11
10
11
10
11
00
10
11
00
11
01
01
01
00
00
10
00
01
00
01
10
00
00
10
10
10
10
00
10
10
01
10
00
01
10
11
00
01
10
10
00
00
00
11
10
11
00
10
01
00
00
00
11
11
11
01
00
10
00
00
11
10
00
00
10
10
01
00
00
00
10
01
10
10
10
11
00
10
10
00
10
11
00
11
01
00
01
10
01
10
10
00
00
01
01
10
00
11
10
00
11
10
00
00
00
11
01
10
10
00
01
00
10
00
00
11
11
10
00
00
10
10
00
10
10
00
11
01
11
11
01
00
10
01
01
10
01
00
00
10
01
10
10
01
00
11
10
00
00
01
01
11
10
11
00
11
01
10
11
10
01
00
00
00
10
00
00
01
10
10
11
01
01
11
01
00
10
00
10
01
01
11
10
00
11
01
11
10
10
10
01
01
00
00
10
01
10
01
10
11
11
01
10
00
10
11
10
10
10
01
11
00
11
00
11
01
10
01
00
00
11
00
00
10
01
11
10
00
10
10
01
00
01
10
00
11
10
11
01
01
11
10
01
00
11
01
00
11
10
10
00
00
00
10
00
00
00
01
00
11
00
11
11
10
01
11
00
01
10
00
10
00
01
10
10
10
10
00
01
10
10
00
00
10
11
11
11
11
00
00
00
00
10
00
00
10
10
10
11
00
01
11
10
00
11
00
01
11
10
00
10
10
00
00
00
10
10
11
00
11
11
10
00
01
10
00
10
10
00
10
00
00
10
00
00
11
01
01
10
01
10
10
11
00
00
10
11
00
10
00
11
10
10
01
00
10
10
00
00
10
00
00
11
10
11
10
10
10
01
11
00
10
11
00
01
00
10
00
11
01
01
00
10
01
11
00
00
10
10
10
00
00
10
00
00
10
10
10
01
01
10
01
00
00
10
01
00
00
10
10
10
00
00
11
10
01
10
10
01
00
00
10
10
00
00
01
10
00
00
10
01
11
00
00
00
10
11
00
10
10
10
00
10
10
00
10
00
00
00
00
00
11
01
11
10
00
00
10
00
10
00
01
00
00
10
00
10
01
11
00
10
01
11
10
10
00
00
10
10
11
00
01
00
00
11
10
10
00
10
00
00
10
11
11
11
01
00
10
00
10
10
11
00
00
00
01
01
00
00
10
01
01
10
10
01
11
00
00
10
11
11
00
11
01
11
10
10
00
10
11
00
00
10
00
00
11
10
00
00
10
10
01
00
10
10
00
00
00
01
10
10
11
00
11
00
01
10
10
10
00
00
11
11
11
10
00
01
11
00
10
01
01
01
00
10
11
11
01
11
00
11
10
11
00
01
10
10
10
11
10
00
00
11
00
11
00
00
10
10
11
10
10
01
10
00
10
00
01
00
01
10
01
01
11
10
10
00
01
10
01
01
10
00
10
10
00
00
10
11
11
01
00
10
01
00
00
10
10
00
01
00
00
10
00
01
11
10
00
11
00
01
00
00
10
00
10
11
01
10
10
01
00
00
11
00
00
10
10
00
10
01
11
11
10
00
11
00
00
01
10
10
00
00
00
10
11
10
10
10
10
10
00
01
10
11
01
10
10
10
01
01
00
00
10
10
01
11
00
00
11
00
01
10
10
10
01
10
11
10
01
00
00
01
00
00
01
10
10
10
01
00
10
11
10
11
10
00
11
10
00
10
10
00
01
10
10
10
00
10
10
00
00
00
11
01
00
10
11
00
10
00
00
00
01
10
10
11
10
00
10
10
01
01
01
10
11
10
11
10
01
00
10
00
10
00
11
11
00
01
10
00
10
00
01
01
01
10
10
00
00
11
11
01
10
00
10
10
01
00
10
10
10
00
00
10
01
10
10
00
01
10
01
01
11
10
11
00
10
00
00
10
10
01
00
00
11
10
00
11
01
11
01
10
00
00
00
00
10
10
00
00
00
01
10
00
10
01
00
10
00
11
00
10
10
00
01
00
10
10
01
11
11
00
10
11
10
00
00
00
10
00
10
10
10
11
00
01
00
00
10
10
00
00
00
11
11
10
10
11
00
11
10
00
00
00
10
10
10
00
00
10
10
00
00
10
00
00
01
11
10
00
01
00
11
11
00
10
10
00
10
00
01
00
00
11
11
00
11
11
01
01
11
11
00
00
11
00
10
11
00
00
10
01
01
10
11
00
00
01
00
11
00
10
10
10
11
00
00
10
01
00
11
10
01
11
11
01
10
01
10
00
00
10
11
01
00
10
10
10
00
10
10
10
00
10
10
00
10
10
10
01
00
01
10
00
10
00
00
00
10
10
10
01
00
10
01
00
10
00
00
10
11
00
00
11
00
10
10
00
10
11
00
10
10
00
10
00
00
01
00
00
00
00
10
00
00
10
01
00
01
10
00
01
00
10
10
10
10
00
00
11
11
10
01
01
11
11
00
01
11
01
00
00
01
10
10
00
00
10
10
11
01
00
10
01
00
11
10
10
00
01
01
01
00
10
01
01
10
00
10
10
10
01
10
00
00
10
00
00
10
10
01
10
01
00
00
00
01
11
01
01
10
00
01
01
01
10
11
00
01
10
10
01
00
00
10
00
00
11
01
00
11
10
10
11
01
11
10
01
00
00
00
01
00
11
10
01
00
11
00
00
11
11
10
10
10
10
10
00
00
10
10
00
00
10
10
00
00
10
01
00
11
01
10
10
11
11
11
00
00
01
10
00
00
10
00
01
10
00
01
11
00
00
10
10
10
01
00
01
00
11
10
10
00
00
10
11
01
00
11
11
10
11
00
00
00
10
10
00
00
10
00
10
00
00
10
00
11
11
00
10
00
10
11
01
10
01
10
11
00
11
01
01
01
01
10
10
01
00
10
10
00
10
10
00
00
10
00
01
00
10
00
10
11
11
01
10
00
10
10
11
01
00
10
01
11
01
11
00
01
11
10
10
10
10
00
01
11
10
01
10
00
00
11
01
01
00
10
10
11
10
00
00
10
10
10
00
11
00
00
00
00
11
00
00
10
10
10
10
10
00
00
10
00
00
00
11
10
10
00
00
10
01
11
10
10
00
10
00
00
11
10
01
10
10
01
10
10
01
10
11
00
00
00
10
10
00
00
10
01
00
00
10
00
00
10
11
00
11
00
10
01
00
10
11
11
01
01
11
00
00
10
00
00
11
11
01
10
11
00
00
10
11
00
01
10
10
10
00
11
00
11
00
01
01
01
10
10
10
00
11
01
11
00
00
11
10
11
11
00
00
11
00
11
10
01
10
11
11
10
00
00
00
01
10
10
11
10
11
00
01
00
00
10
10
00
00
10
10
11
00
11
00
00
10
00
10
00
01
10
00
00
10
00
00
00
11
10
00
00
11
10
00
01
11
01
00
01
00
01
11
10
10
01
11
10
11
00
01
11
10
10
10
01
01
00
00
10
01
10
10
01
10
10
00
01
01
01
10
00
10
10
10
01
01
10
01
00
01
11
11
01
10
11
01
01
11
00
00
10
10
10
10
00
01
00
00
00
01
10
10
10
10
11
10
01
11
10
10
00
10
10
00
01
00
10
10
00
00
10
11
00
11
01
00
00
00
00
10
11
00
10
10
00
00
10
10
00
00
11
00
11
00
01
10
11
01
00
00
10
00
00
10
00
10
10
00
11
10
00
01
00
11
10
00
10
00
00
10
00
11
11
00
00
10
10
10
10
10
00
00
11
00
00
00
00
11
01
01
01
01
10
00
00
00
01
10
10
11
10
10
10
10
00
00
00
00
10
10
10
10
01
00
11
10
01
00
10
10
10
10
00
00
11
10
10
10
00
00
01
00
10
01
01
00
00
00
10
00
11
10
10
00
10
00
00
11
01
01
11
00
10
10
11
11
00
11
00
00
11
00
10
10
11
00
00
11
00
00
10
01
00
11
00
01
10
10
01
11
01
00
01
10
01
11
00
01
10
10
11
01
00
10
10
00
10
11
00
00
10
11
10
10
10
11
00
00
01
10
01
00
10
00
01
10
10
00
01
10
00
01
10
00
10
11
10
01
00
11
10
00
11
10
10
00
01
11
11
10
00
00
11
10
10
00
01
10
10
10
01
10
11
01
10
10
10
01
10
11
11
00
00
11
10
00
00
11
10
01
01
10
10
00
10
10
11
00
00
00
00
01
11
11
00
10
10
00
10
00
10
11
10
00
00
10
11
10
00
10
00
10
10
10
01
10
11
10
10
00
11
10
00
01
10
00
01
11
10
11
00
00
00
11
00
00
00
10
00
00
11
00
00
10
10
01
00
10
10
11
00
10
00
00
10
11
01
10
10
10
11
01
11
10
11
10
11
00
01
11
10
10
01
10
11
11
00
00
10
00
00
11
10
11
01
11
00
01
00
11
11
01
11
00
11
11
01
10
11
10
00
10
01
00
11
11
01
10
00
10
11
11
00
01
01
00
00
00
11
10
10
10
10
00
00
00
01
10
11
11
10
00
10
00
00
00
10
11
00
00
10
10
00
10
10
11
00
00
00
00
00
00
10
10
00
00
00
10
10
00
11
10
00
00
00
00
10
00
00
10
10
00
10
00
10
00
00
00
11
11
10
01
10
10
11
00
01
10
11
00
00
00
00
00
10
10
00
00
11
10
00
00
10
10
00
00
10
11
00
10
01
01
10
00
10
10
00
01
01
00
01
11
00
01
10
11
00
00
10
00
10
00
00
01
01
00
00
10
00
00
10
10
00
10
10
10
00
10
11
10
10
00
11
10
00
11
10
00
00
01
10
01
00
01
00
11
10
11
10
01
01
10
00
00
10
10
11
01
11
00
01
01
11
10
00
10
10
11
00
00
00
10
11
00
01
10
00
01
11
00
10
10
00
00
11
10
10
01
10
11
10
00
00
11
00
11
00
01
01
11
01
11
00
10
00
00
00
10
10
01
00
11
00
00
11
10
00
01
00
00
01
11
10
11
01
10
10
01
10
10
00
00
00
11
10
00
00
11
11
01
11
10
00
10
01
00
00
11
10
00
00
01
10
00
00
10
01
10
01
00
11
10
10
00
11
01
00
11
10
10
11
10
00
00
10
11
00
00
10
01
10
10
10
01
10
00
11
10
10
00
00
10
00
00
00
00
10
00
11
10
01
01
00
00
00
10
10
01
01
11
00
00
11
10
00
00
11
00
01
00
00
10
00
10
10
00
00
00
10
10
10
11
00
11
00
01
11
00
00
10
00
00
10
10
01
10
10
10
10
01
10
11
00
01
11
10
11
01
11
01
10
10
10
10
00
01
11
10
11
01
11
00
11
11
10
10
00
00
01
11
00
10
10
00
11
10
11
01
10
10
00
10
10
00
00
10
10
10
01
01
10
00
11
00
00
10
00
00
10
10
00
10
00
00
10
00
10
00
11
00
00
10
10
11
10
10
01
11
10
01
00
01
10
11
00
10
00
00
11
00
01
10
01
00
01
11
01
00
11
00
10
00
00
01
10
10
01
10
11
10
11
00
11
10
00
11
10
00
00
00
00
10
00
11
00
01
11
10
11
00
11
00
10
10
01
00
10
00
10
10
10
10
00
01
10
00
00
10
10
00
10
00
01
11
00
10
00
10
00
00
11
10
00
10
10
10
00
00
00
00
11
10
01
10
00
10
10
11
01
00
10
00
01
10
01
00
00
11
01
00
10
00
00
10
10
11
01
01
00
10
01
00
10
00
10
11
00
01
11
10
11
10
00
01
10
10
00
01
10
00
11
00
00
00
11
10
00
10
00
11
01
11
11
10
10
11
00
00
01
01
10
10
11
00
00
00
01
10
10
10
01
11
10
11
00
00
10
10
10
01
10
10
01
00
00
01
00
11
00
10
10
00
01
11
10
01
10
00
10
01
11
11
10
11
00
01
00
01
11
01
11
00
10
10
00
00
10
10
00
10
10
01
00
01
00
10
10
01
00
10
10
00
11
11
01
00
01
00
11
00
01
00
10
10
00
01
10
00
00
10
00
00
11
00
00
10
00
00
10
11
01
10
11
00
10
00
10
10
10
00
01
01
01
10
00
00
00
00
01
10
10
00
00
11
10
10
10
10
11
10
10
00
10
10
00
11
10
10
01
11
11
00
00
11
11
10
00
00
01
01
10
11
10
00
10
00
10
01
00
10
00
11
00
00
10
10
01
11
00
01
00
10
00
10
11
10
00
00
00
00
10
00
00
11
10
01
00
01
00
10
10
10
00
00
00
00
10
10
10
01
10
11
00
10
00
00
11
01
11
11
10
00
10
01
01
11
10
00
00
10
11
00
01
10
11
00
00
01
01
00
11
10
01
10
10
01
00
10
10
01
10
11
11
00
01
10
00
10
10
00
10
10
00
10
01
00
00
11
01
00
00
11
01
01
10
00
01
00
10
10
10
00
00
01
10
10
00
11
10
01
10
11
00
00
10
01
11
00
11
11
01
10
01
10
10
10
00
00
10
10
00
10
10
11
00
00
10
10
10
00
10
10
00
10
10
01
10
01
00
11
11
11
11
01
11
11
00
10
00
00
11
11
00
00
10
00
01
00
11
00
11
10
10
00
01
10
01
00
11
11
00
00
11
00
11
11
00
10
11
00
10
00
00
10
01
00
10
00
00
10
01
01
10
00
01
01
10
00
11
00
11
10
01
00
01
10
01
00
10
10
10
00
00
00
10
00
00
10
11
10
00
01
00
01
00
11
00
10
10
00
00
10
11
11
11
00
00
11
11
00
00
11
10
00
10
10
00
00
10
00
00
01
10
10
10
10
10
11
00
00
10
11
00
01
10
00
01
10
00
00
11
10
00
00
00
00
01
01
11
10
10
00
01
10
00
00
10
10
10
00
10
00
10
11
01
10
10
10
10
01
01
01
00
00
00
01
10
01
01
10
10
01
00
01
00
11
10
01
11
00
11
11
01
01
00
01
10
11
01
00
00
11
10
11
01
10
11
11
00
10
10
11
11
10
00
01
10
00
00
01
01
11
11
10
10
00
00
00
01
10
10
11
00
10
11
10
01
11
01
00
10
10
11
10
01
01
10
00
10
01
01
00
11
11
00
00
11
10
00
11
00
00
11
00
10
00
11
11
10
11
00
00
11
10
01
10
00
10
01
00
11
00
11
11
10
01
11
00
01
11
11
00
00
10
10
10
01
00
10
11
00
01
10
00
10
11
01
10
11
11
00
01
10
00
10
10
01
10
00
01
00
11
00
01
10
10
10
00
00
11
11
01
10
01
10
10
10
00
11
01
01
10
00
00
11
00
01
10
00
01
11
00
00
10
11
00
00
10
11
01
11
01
01
00
10
10
11
00
00
11
10
01
10
11
00
01
11
00
01
10
11
01
00
10
11
11
00
00
10
01
00
10
11
11
11
00
10
00
00
00
10
10
00
00
10
00
11
10
11
00
00
11
10
10
10
11
01
00
10
10
00
01
11
01
11
10
01
00
10
00
00
11
00
00
10
10
10
00
10
10
00
00
00
10
10
00
00
00
10
01
01
10
10
00
00
00
00
10
10
00
01
01
11
00
00
10
01
10
01
00
01
11
10
01
01
10
11
00
11
00
11
00
11
11
00
10
01
00
10
00
11
00
01
01
01
10
11
00
00
10
10
11
00
00
10
10
00
01
00
11
00
01
10
00
10
00
10
10
10
00
01
10
01
01
11
10
00
00
00
01
10
01
01
10
10
00
11
11
01
00
11
10
10
00
00
10
01
00
10
11
10
00
10
10
01
01
00
00
00
00
10
00
00
11
10
00
00
00
10
10
10
00
11
10
00
10
01
00
00
11
10
01
00
00
10
10
10
01
00
10
00
11
11
10
00
10
10
00
01
10
11
10
10
11
10
01
10
11
01
00
01
01
11
11
00
01
00
10
11
10
10
00
01
10
10
00
10
10
11
01
01
00
11
10
01
00
11
10
01
00
11
00
00
01
10
00
11
10
01
10
11
10
01
10
10
01
01
11
11
00
10
10
01
11
10
01
01
00
00
00
00
10
10
01
00
10
11
00
00
00
00
11
10
10
00
10
11
00
00
00
11
00
00
00
10
10
10
10
00
10
00
00
01
00
00
00
10
00
00
10
10
00
00
01
10
10
10
00
01
11
10
11
01
10
10
11
10
00
11
11
01
11
11
00
11
00
10
00
01
10
00
11
10
01
11
00
10
10
11
10
01
00
00
00
01
10
10
00
00
01
10
10
10
01
00
01
11
11
10
01
00
10
00
00
01
00
00
10
01
10
00
00
00
11
00
00
10
00
01
01
11
11
01
10
01
10
00
00
10
10
10
00
00
01
00
10
01
00
11
00
00
11
10
01
10
10
01
01
01
10
10
00
10
01
10
10
00
00
10
00
00
00
00
00
00
10
11
00
11
01
10
01
00
00
10
00
00
01
00
01
00
00
11
00
10
10
10
10
00
00
11
00
00
10
10
00
10
00
01
00
01
01
10
10
00
10
11
01
01
00
01
11
11
00
01
10
10
00
00
00
11
00
10
00
10
00
00
10
10
10
01
10
11
10
01
01
11
11
01
00
10
00
00
00
11
10
10
00
00
11
00
00
00
00
00
01
01
00
11
10
00
11
11
01
11
10
00
10
10
11
01
11
10
10
00
00
10
10
10
00
00
10
00
00
00
11
10
00
01
01
10
10
10
00
10
10
00
10
10
00
01
11
00
00
00
11
11
11
10
10
00
00
10
11
00
11
10
00
10
00
01
10
00
01
00
00
10
11
00
01
01
01
11
01
10
11
11
00
01
11
11
00
00
10
11
00
00
01
11
10
00
11
11
10
01
01
10
10
01
10
01
10
10
00
00
11
10
00
11
11
11
00
10
11
01
01
10
10
00
01
00
00
11
00
01
00
00
00
11
10
10
10
01
11
01
01
01
11
10
00
01
11
10
00
01
00
00
01
10
10
10
01
11
00
00
10
00
00
00
10
10
00
11
00
10
00
00
11
10
11
00
00
11
00
11
11
01
11
00
00
11
00
00
10
10
00
10
10
00
01
11
00
10
10
11
00
10
10
00
00
00
01
10
10
00
10
00
00
10
00
00
11
01
10
00
10
10
00
01
00
10
10
10
10
10
01
00
11
11
11
10
01
01
00
11
01
10
10
00
00
00
10
10
00
10
00
10
10
00
10
10
10
00
00
01
00
00
10
01
10
01
00
01
01
10
01
11
01
11
11
00
00
10
10
11
00
00
11
11
11
10
11
10
10
00
01
01
11
01
01
10
00
10
00
00
10
11
11
00
10
00
00
10
01
00
01
10
11
00
10
00
11
10
01
10
00
10
10
01
01
11
11
01
00
00
11
11
01
00
00
00
11
01
11
00
10
00
01
00
10
10
01
00
10
01
10
01
10
01
11
11
10
10
11
01
01
10
00
11
11
00
01
01
10
10
11
00
10
10
00
01
11
11
00
10
00
00
00
00
10
11
10
11
10
10
10
11
11
00
00
11
10
10
10
00
10
00
10
10
10
10
11
10
01
10
10
00
00
10
11
11
01
10
00
10
01
01
00
00
11
00
11
01
00
01
10
10
10
11
00
00
01
10
10
00
01
10
00
00
00
10
11
00
10
11
00
10
10
11
00
00
10
10
10
00
10
11
00
10
11
01
00
10
10
10
01
00
11
10
10
00
10
00
10
01
00
10
01
00
11
10
10
00
00
10
00
00
10
11
10
01
01
11
10
11
10
00
01
00
10
10
00
00
00
11
10
10
01
00
00
10
10
11
10
01
00
11
10
00
01
00
01
10
01
00
11
11
01
10
11
01
00
10
11
10
00
10
10
00
00
00
10
00
10
00
00
10
01
10
10
10
11
11
00
11
11
11
10
01
00
00
01
11
10
00
00
10
01
00
01
11
00
01
11
10
10
00
00
00
11
10
00
10
00
11
00
10
10
10
01
00
00
01
00
10
10
01
10
00
00
00
00
01
11
01
00
10
10
00
11
00
00
11
01
01
11
01
00
10
01
00
01
11
10
10
00
00
00
10
10
01
01
10
10
00
10
01
10
00
10
10
01
00
00
10
10
10
00
11
11
00
01
10
10
01
00
11
11
10
00
00
00
00
11
10
11
10
00
10
11
00
10
00
01
10
01
11
10
00
00
01
00
11
10
00
00
10
01
01
00
01
11
10
00
11
11
00
10
10
10
10
00
00
00
10
10
11
11
11
01
10
10
11
10
01
00
10
10
10
10
10
00
00
01
10
01
11
01
00
10
01
10
10
00
00
10
00
00
10
10
10
00
01
11
11
11
10
11
10
01
00
00
10
10
01
00
10
00
10
11
00
10
00
10
10
01
11
11
10
01
00
10
11
00
10
10
01
01
00
00
00
00
11
10
00
11
01
00
11
00
01
00
11
11
10
00
00
00
11
00
01
10
10
10
10
01
01
10
00
10
01
10
11
01
01
01
10
00
00
10
11
11
01
00
00
01
11
11
00
10
11
11
00
10
10
00
00
00
01
10
11
01
00
01
00
00
00
00
10
10
10
01
00
10
00
00
00
00
01
00
10
10
10
11
01
01
10
01
00
10
00
10
00
00
11
10
00
00
10
01
10
01
00
10
01
00
11
11
01
00
10
00
10
11
00
10
10
00
00
10
00
01
01
10
01
10
01
00
01
10
10
00
00
01
11
10
10
01
00
00
01
10
11
01
00
10
10
00
01
10
10
00
00
00
00
10
01
01
11
10
00
10
10
10
10
01
00
00
11
00
01
11
00
00
00
10
01
11
10
01
00
01
01
10
00
10
01
00
11
10
01
00
00
00
10
11
00
00
10
10
00
00
01
00
10
00
00
00
11
11
00
01
10
11
00
01
10
10
10
00
00
11
01
00
10
11
01
00
10
10
00
00
10
00
01
00
11
10
10
10
00
10
11
11
00
10
10
00
10
01
10
10
10
00
11
00
00
10
11
01
10
11
00
11
00
10
10
01
01
00
11
11
10
10
00
01
01
10
10
00
10
00
00
10
11
11
10
00
01
00
01
00
10
10
00
00
10
10
00
10
10
01
00
10
11
01
01
10
11
00
00
10
00
00
11
10
01
10
10
01
00
00
10
00
01
00
10
11
11
00
00
00
10
10
11
00
01
00
10
01
10
10
11
01
00
11
01
00
10
11
00
00
10
10
10
00
00
01
11
11
10
10
00
10
01
11
00
00
00
10
01
10
01
01
00
10
00
10
00
10
00
10
00
10
01
00
00
00
11
10
01
00
10
01
10
01
00
10
10
10
00
00
00
00
00
10
10
00
10
00
00
10
10
11
10
01
10
10
10
01
10
01
10
10
10
01
10
00
00
10
10
00
01
00
01
00
01
00
10
11
10
10
10
00
01
10
10
01
10
01
01
01
10
10
10
10
01
00
00
10
11
10
10
00
01
00
10
00
00
10
10
11
00
00
01
00
10
10
00
01
00
10
10
00
00
01
10
10
10
11
10
00
11
10
11
00
00
00
01
10
10
00
01
11
00
11
10
00
00
10
11
11
10
00
00
10
01
10
11
00
00
10
10
10
00
01
00
10
00
10
10
00
01
10
01
10
10
01
11
00
11
10
00
10
10
10
00
01
10
01
01
00
11
00
11
10
11
01
10
00
11
10
00
00
10
11
00
01
10
01
01
01
10
01
00
10
00
10
01
00
11
11
00
10
10
10
01
00
00
10
10
00
01
10
10
01
00
10
10
10
01
00
11
10
11
01
10
11
11
00
00
10
10
00
10
10
00
00
00
10
10
10
01
10
11
00
11
10
00
01
00
00
10
10
00
01
01
11
00
10
11
00
11
00
01
11
11
11
01
10
11
10
10
01
01
11
11
10
00
10
10
10
01
00
10
11
00
00
10
00
01
10
10
00
10
10
10
00
11
10
10
00
00
00
10
00
11
01
11
11
10
00
10
00
10
00
00
10
11
00
01
00
11
10
11
00
00
00
01
00
00
11
10
11
01
10
01
10
00
10
10
00
00
10
10
00
10
11
00
01
00
00
10
00
10
00
01
10
00
00
10
00
10
11
10
11
10
01
00
10
10
10
00
00
10
00
01
11
11
10
10
01
00
10
00
00
00
10
01
11
10
10
01
11
00
10
10
00
00
00
00
00
01
00
10
00
10
11
00
00
10
10
01
11
01
00
10
10
01
01
01
00
10
10
00
10
11
10
00
10
10
11
00
11
10
00
00
00
10
11
00
00
00
00
10
11
00
00
00
11
10
00
00
10
10
10
11
01
00
01
00
10
10
01
10
11
00
11
01
01
00
00
00
11
00
00
11
10
00
01
01
10
01
10
00
00
10
10
11
10
00
01
10
11
10
10
10
10
11
00
00
10
11
00
00
11
10
10
00
01
00
10
10
00
10
10
00
10
10
01
11
11
01
10
10
01
11
00
00
10
10
00
00
00
00
00
11
00
01
11
01
10
01
00
11
00
01
00
11
10
00
10
11
01
00
10
00
01
11
01
00
00
11
10
11
00
01
10
00
01
11
00
10
01
01
10
10
10
00
01
11
01
00
01
01
01
00
10
00
11
10
00
00
10
01
10
00
10
10
11
00
00
01
10
10
10
11
10
00
01
11
00
00
10
01
10
01
00
11
00
11
11
00
00
10
00
00
00
10
10
01
00
10
00
00
10
00
00
00
11
10
10
10
00
11
11
01
10
11
10
00
10
00
00
11
01
00
11
00
00
00
10
11
10
10
10
01
10
10
10
00
00
10
00
10
10
11
10
11
00
01
01
00
11
01
00
11
00
00
01
10
10
10
00
11
10
00
11
00
00
10
00
00
00
01
00
01
10
11
10
00
01
10
11
11
00
00
00
00
00
01
11
10
10
10
00
00
01
01
10
10
00
00
01
10
10
00
00
01
11
10
10
00
00
01
10
00
00
11
10
10
10
01
10
10
01
10
11
10
10
01
01
10
00
00
10
10
01
10
00
00
10
00
00
10
10
01
10
00
01
10
00
10
00
11
00
00
10
10
00
00
11
11
10
01
01
00
00
01
10
00
01
10
00
01
01
11
11
01
00
11
11
00
10
00
00
10
00
00
00
11
11
10
00
10
11
10
10
11
10
00
00
10
00
10
11
01
00
00
00
00
00
10
10
00
00
00
00
00
11
01
01
00
10
00
01
10
00
10
10
00
01
01
11
10
10
11
01
11
10
00
00
11
01
11
10
00
00
11
11
00
10
11
10
01
01
10
00
01
10
11
00
10
10
11
10
11
10
00
00
11
10
10
10
01
00
00
11
00
00
10
01
00
10
00
11
10
11
01
00
10
00
00
10
10
10
10
00
10
10
10
10
00
00
10
10
01
10
00
10
00
00
10
01
01
00
10
01
10
10
10
10
10
10
00
00
10
10
10
10
10
11
00
01
11
00
00
10
00
00
10
10
00
00
10
10
00
00
11
11
10
01
11
01
01
10
10
00
10
10
00
11
00
10
00
00
00
00
00
11
01
01
10
00
00
01
00
01
11
10
10
00
01
11
00
01
10
00
10
00
00
10
00
00
11
01
01
00
00
00
10
00
00
10
10
00
10
01
00
01
00
11
01
10
00
11
01
00
01
10
11
10
01
00
10
10
01
10
01
01
10
10
10
10
00
10
11
01
01
01
11
10
10
11
00
01
10
10
00
10
10
11
11
00
00
10
11
10
00
00
10
10
10
10
01
00
10
00
11
00
00
10
10
10
01
00
00
11
10
11
00
01
00
00
10
10
01
00
01
01
11
01
10
00
10
11
00
11
10
00
00
10
00
10
00
11
00
10
11
10
00
01
10
10
11
00
11
10
10
00
11
11
10
01
00
00
01
00
10
01
10
01
11
10
11
10
00
00
11
10
01
00
11
10
10
00
00
10
11
00
01
00
11
10
00
00
10
00
01
01
10
10
00
00
11
10
11
00
01
10
01
00
00
00
10
00
00
00
10
10
10
10
11
10
10
00
11
00
10
10
01
11
11
00
01
01
01
01
10
10
10
00
10
11
00
00
10
10
11
10
01
01
10
10
01
10
00
00
10
11
11
10
01
10
10
00
11
11
00
10
01
00
10
00
00
00
11
11
10
00
10
00
00
10
10
10
10
10
01
00
00
10
10
01
00
00
10
10
10
10
01
01
10
00
10
10
01
11
10
00
00
10
11
00
11
00
00
01
11
11
00
00
01
01
00
00
01
10
10
00
01
10
10
11
00
11
10
00
10
01
10
01
10
10
00
11
00
00
10
11
00
00
00
00
00
11
10
01
00
11
01
01
10
10
01
00
10
10
10
00
01
10
10
10
10
00
10
00
00
10
11
10
00
11
11
10
01
10
10
10
00
11
10
00
00
11
10
00
10
00
00
00
10
10
00
10
10
11
00
10
11
00
10
10
01
00
01
00
01
10
10
01
10
11
10
00
01
00
11
10
00
00
00
00
10
00
00
10
10
11
00
11
10
10
10
00
11
01
01
10
10
11
00
10
11
11
00
10
01
00
00
10
11
10
11
00
00
01
10
01
01
10
10
01
00
00
01
11
11
01
00
10
10
01
00
10
00
00
10
00
10
10
10
10
00
10
11
01
00
01
10
01
01
11
00
10
10
01
11
10
10
00
10
01
11
10
00
00
11
00
01
11
11
10
00
00
00
01
10
10
00
10
01
10
00
00
10
01
00
11
11
10
00
10
01
11
10
11
10
00
11
01
01
11
11
10
00
01
10
10
01
11
10
10
01
01
10
11
00
00
10
10
10
00
10
10
10
10
00
00
10
01
10
00
10
00
00
10
11
00
00
10
00
10
10
11
10
00
00
10
10
00
00
10
01
10
11
10
01
00
00
00
00
11
00
00
10
00
01
01
10
11
10
10
11
11
11
01
10
01
11
10
00
11
10
00
00
10
00
00
10
11
10
10
00
01
01
11
00
10
01
00
11
11
11
11
11
00
00
00
10
10
00
11
11
00
00
01
10
10
10
00
00
10
10
00
00
11
11
00
11
10
10
10
11
10
10
01
00
00
00
10
00
00
10
00
11
10
01
00
01
10
10
10
00
11
00
00
11
10
11
01
10
01
00
01
11
00
00
11
11
10
00
00
00
10
11
10
10
10
10
00
11
10
11
10
01
11
00
01
00
10
10
00
01
11
11
00
10
10
00
10
00
00
10
11
11
00
00
10
01
10
10
00
10
00
01
10
11
10
00
11
10
11
00
01
01
11
10
10
00
00
11
00
01
10
01
01
00
10
11
10
01
11
00
01
00
00
00
10
11
10
10
00
10
00
00
11
11
00
00
10
10
00
00
00
11
10
01
00
10
10
10
00
01
11
11
00
00
00
10
10
00
00
11
00
01
01
11
00
00
10
01
01
11
10
01
11
01
00
01
11
10
01
00
01
11
00
00
10
00
01
10
10
00
00
00
10
10
00
10
10
01
10
10
10
00
00
11
00
00
10
11
11
11
00
10
01
10
00
11
00
10
01
10
00
01
10
11
01
00
10
10
01
00
11
10
01
00
11
00
00
01
10
00
00
01
10
00
01
00
01
00
00
10
00
11
01
00
11
10
11
00
01
00
10
00
00
10
11
10
10
10
10
11
10
00
00
01
10
01
11
01
00
00
10
10
00
00
00
10
00
10
00
10
00
00
10
10
01
00
10
11
01
10
10
00
11
00
10
01
01
00
10
00
10
01
00
01
00
11
10
00
11
01
01
10
10
00
10
11
10
00
00
10
10
11
10
01
10
10
01
01
01
11
11
10
10
00
00
00
10
10
01
10
10
10
10
00
10
00
00
11
00
00
11
10
10
01
00
10
00
10
11
10
10
00
01
00
00
10
01
01
11
11
00
00
10
10
00
10
10
00
10
10
10
11
00
01
10
11
10
00
00
11
10
00
00
01
11
11
00
11
10
01
10
00
00
10
01
01
10
10
00
11
01
01
00
00
11
01
11
10
10
00
10
00
01
10
10
00
00
01
01
00
10
10
10
00
10
11
00
11
00
10
10
01
00
10
10
00
00
00
10
00
00
01
00
00
01
10
01
10
01
01
11
11
00
10
10
01
10
10
10
00
00
01
00
10
11
00
11
00
00
00
00
00
11
10
10
00
10
11
11
00
00
00
10
00
01
11
00
01
11
00
00
10
10
00
11
10
01
11
00
01
01
01
10
00
01
10
10
10
00
00
10
00
11
10
01
10
00
11
00
10
10
10
10
00
00
01
00
00
00
11
11
01
10
10
10
01
00
11
00
00
00
11
10
00
11
10
01
01
00
10
01
10
10
00
00
11
11
11
01
10
11
11
10
00
10
11
00
10
00
00
11
00
10
01
00
11
10
00
01
11
01
10
01
00
10
00
10
10
01
00
11
11
01
01
10
10
00
01
10
00
01
01
10
11
01
00
11
11
11
10
00
10
00
00
10
01
00
00
10
11
11
10
11
10
01
10
01
00
11
01
10
11
01
10
10
11
00
00
00
10
11
10
01
00
00
10
10
01
10
10
00
10
11
00
01
01
10
10
01
01
10
10
01
00
00
10
10
01
10
10
01
11
10
11
00
01
01
00
11
10
00
11
10
01
00
00
10
10
00
11
00
01
10
10
01
01
11
10
00
10
11
11
11
00
00
10
10
10
00
01
10
11
10
11
10
11
00
01
10
01
00
10
00
00
10
10
01
10
00
01
00
10
10
10
11
10
10
11
00
10
11
00
00
00
10
11
00
00
00
01
00
11
00
01
11
10
10
10
00
11
00
00
00
00
11
00
11
10
00
10
10
10
00
00
10
11
00
00
00
11
00
00
10
00
11
00
10
10
00
00
00
00
10
00
00
10
10
00
00
10
10
01
01
11
00
00
01
01
10
01
10
11
10
11
00
00
01
11
01
00
10
10
00
00
00
10
11
11
01
00
10
10
10
10
01
00
00
10
10
10
00
00
01
01
00
11
10
00
00
10
00
10
11
10
01
00
10
00
00
01
00
10
11
11
10
11
00
00
00
10
01
00
10
10
00
10
00
01
00
10
10
00
10
11
11
00
01
00
11
00
00
01
00
11
10
10
00
11
10
10
10
01
00
00
10
11
10
00
11
00
10
01
00
01
10
00
01
11
00
11
10
00
11
10
11
00
01
10
01
10
10
00
01
10
10
10
00
00
10
01
10
00
01
11
00
01
01
00
01
00
10
10
10
00
00
11
11
10
10
10
01
10
10
01
10
11
10
10
01
11
00
10
00
00
10
00
01
01
11
11
10
00
00
10
00
11
10
00
11
00
10
10
00
01
00
00
10
01
10
11
00
00
00
00
00
11
00
01
11
00
10
01
10
10
01
00
11
00
00
10
11
01
10
10
00
10
10
00
01
11
11
01
00
10
10
00
10
00
01
10
10
01
10
00
00
11
00
00
00
01
10
01
01
10
10
01
01
11
01
10
10
00
10
10
00
00
10
01
10
00
10
10
00
11
11
01
10
01
01
00
01
11
11
10
11
00
10
00
00
01
10
10
01
00
00
10
00
01
10
10
10
10
00
00
10
11
10
01
11
00
10
10
10
00
01
10
10
10
00
11
00
00
10
00
10
00
00
00
11
00
01
10
10
10
10
00
10
10
00
11
01
00
10
10
11
00
00
01
10
11
11
00
01
00
01
11
00
00
01
10
00
00
10
10
00
00
00
00
10
10
00
11
10
00
00
00
01
10
11
11
01
00
00
00
11
10
01
10
01
10
11
00
00
11
10
00
01
00
10
01
00
01
10
10
11
01
01
00
10
10
01
01
00
11
10
00
00
00
00
00
00
10
00
11
11
00
11
01
10
10
10
10
01
10
10
00
10
00
00
10
10
10
00
10
00
00
11
00
00
10
10
00
11
00
10
01
10
10
11
10
00
10
01
11
10
00
10
01
00
00
10
10
00
10
11
01
01
11
00
00
10
10
01
00
10
10
00
00
10
00
11
11
00
10
00
00
10
00
00
00
11
10
10
10
01
10
01
00
10
00
00
00
01
10
11
10
10
00
11
01
00
01
10
10
11
00
10
10
10
00
00
00
00
00
11
00
00
01
10
00
00
11
10
10
01
01
10
10
00
10
01
01
00
00
00
00
10
00
10
10
00
11
10
01
11
01
11
00
11
10
00
11
00
00
10
10
01
00
00
10
10
00
00
10
01
01
00
00
01
11
11
01
10
10
01
00
11
00
11
11
00
00
10
00
11
10
01
00
10
10
10
01
11
01
10
10
00
00
01
00
11
11
00
01
01
00
00
11
10
11
10
00
00
01
00
00
11
10
11
00
00
10
00
01
10
01
00
10
00
00
11
00
10
10
10
00
10
10
00
10
10
10
01
10
01
00
01
10
01
00
10
10
00
00
10
11
00
00
01
10
01
10
00
00
01
10
10
01
01
10
11
11
11
10
11
11
00
00
00
10
10
10
01
01
01
10
11
00
10
10
01
11
00
00
11
01
00
11
01
00
00
10
10
10
10
00
00
11
11
11
00
00
10
10
00
01
10
01
00
00
10
01
10
01
00
10
11
00
01
11
01
01
10
10
11
10
10
01
01
00
10
10
00
00
11
01
01
11
10
00
10
00
00
01
11
00
10
10
00
00
00
11
00
01
00
10
11
10
00
00
10
10
11
10
10
11
00
00
10
10
00
00
11
01
11
01
01
00
10
10
00
00
10
00
10
10
01
01
10
10
01
00
01
11
10
00
11
00
01
10
10
00
11
10
00
10
11
10
10
00
00
01
01
00
10
00
01
11
01
00
00
11
10
10
01
10
10
11
00
00
10
10
01
00
01
00
11
00
10
10
00
10
00
01
01
11
00
00
00
01
01
10
10
00
01
00
10
00
01
01
00
10
10
01
10
11
00
11
10
10
00
01
01
00
00
10
00
10
00
00
00
00
00
10
11
00
11
01
00
00
11
11
00
00
10
10
01
11
11
00
01
00
10
10
11
00
10
10
00
00
10
10
10
11
00
01
10
10
11
11
00
00
00
11
00
10
00
11
10
11
10
11
10
01
11
11
11
01
11
11
11
01
01
10
00
00
10
11
11
00
01
01
00
01
00
11
10
00
11
00
10
01
10
10
10
00
00
00
00
10
10
00
00
01
00
00
10
10
01
00
00
00
00
10
00
10
11
10
00
01
01
11
01
00
11
10
00
00
00
00
11
00
01
00
01
00
00
00
10
10
11
11
00
01
00
10
00
11
00
11
11
00
10
01
00
10
11
11
10
00
00
01
10
10
00
10
10
11
00
11
01
00
11
00
00
01
10
10
01
01
10
00
10
10
10
11
01
11
01
00
10
00
10
10
01
00
11
00
10
01
01
01
11
11
11
01
10
10
00
00
00
10
10
00
01
00
10
10
00
11
10
11
00
10
01
00
10
10
10
01
10
00
00
11
11
00
01
10
00
00
10
00
11
00
01
10
00
10
11
00
00
10
11
10
01
11
11
00
11
00
10
00
00
00
10
11
01
01
10
10
00
00
10
10
00
11
10
10
10
01
00
10
10
00
10
10
00
10
10
01
00
10
10
00
10
00
10
00
00
11
10
00
00
00
00
10
01
10
00
10
10
01
00
01
00
00
11
10
11
10
01
01
10
00
00
00
10
10
10
00
00
01
11
11
10
01
00
10
00
10
11
00
00
00
10
00
11
11
01
10
10
01
00
10
11
00
10
00
00
00
01
11
01
10
11
10
00
01
10
11
00
00
10
10
00
00
01
11
10
00
00
10
10
00
01
11
00
11
10
10
00
01
10
10
00
00
10
00
11
10
00
00
00
11
10
11
11
10
10
00
10
11
10
00
01
10
01
00
10
01
11
01
00
10
10
00
00
01
10
11
00
11
11
10
11
11
00
01
11
00
10
00
01
00
10
01
10
00
11
10
00
11
10
10
01
10
00
00
10
10
01
00
10
10
01
00
10
00
00
11
01
10
10
10
00
11
00
00
00
10
10
10
10
01
00
10
00
10
10
10
01
00
00
10
10
10
11
00
10
00
10
10
01
11
00
01
00
11
10
00
00
10
10
00
10
11
10
00
10
00
10
10
01
00
00
10
00
01
10
00
00
10
11
10
00
00
10
00
01
10
10
10
01
00
01
11
10
10
00
10
00
10
10
00
00
00
00
10
01
11
00
00
10
10
10
10
00
11
10
01
11
11
00
00
01
11
10
01
00
10
11
00
10
10
00
00
00
11
10
11
10
00
00
01
01
10
10
00
10
10
10
01
10
11
00
00
10
10
00
01
00
01
10
00
11
00
10
10
01
00
00
00
11
10
00
01
00
10
00
10
11
10
10
11
00
00
00
00
10
00
00
10
10
00
00
00
10
00
00
00
11
11
01
01
01
10
11
11
10
01
01
10
00
01
11
01
01
11
01
10
11
10
10
10
00
00
11
10
00
10
11
00
10
11
10
10
10
10
00
10
11
10
00
00
11
10
10
01
00
00
10
00
01
01
00
10
11
00
00
10
10
01
10
11
00
00
10
01
10
01
00
10
00
10
10
00
01
10
00
00
00
11
00
10
10
00
01
10
00
10
10
00
10
01
00
11
10
00
11
10
10
00
10
10
00
10
10
11
00
00
00
00
00
00
01
00
10
11
01
01
10
10
10
11
00
00
11
11
01
00
01
10
11
10
01
00
10
01
00
10
00
01
11
00
01
01
00
11
00
10
11
01
10
10
00
00
00
00
11
10
00
11
10
00
00
10
01
00
00
10
10
00
10
11
00
00
00
00
11
10
10
01
11
01
11
11
10
10
00
00
10
10
00
01
10
11
01
00
00
11
10
01
01
10
11
10
00
10
00
00
00
10
10
10
01
00
10
10
11
11
10
00
00
01
01
10
11
01
11
10
00
00
00
10
10
01
10
10
00
10
11
00
00
00
00
10
01
00
00
11
11
00
10
00
00
10
10
01
01
01
01
11
00
11
01
11
01
10
10
00
01
00
10
11
00
10
00
11
01
00
01
10
10
10
01
10
00
01
10
10
00
10
01
00
01
11
00
01
11
01
00
01
11
10
10
00
10
00
10
11
00
00
10
10
11
01
10
00
10
10
00
00
01
00
00
11
00
11
11
00
10
00
10
00
10
10
00
10
11
00
00
10
10
00
10
11
00
00
10
11
00
11
11
10
11
01
10
01
10
01
11
00
01
11
00
10
10
00
01
11
00
00
01
00
11
00
10
10
00
01
10
10
00
10
11
00
01
10
10
11
01
00
10
00
00
01
01
01
00
00
11
01
10
11
01
00
00
10
10
00
10
11
10
00
00
10
00
00
10
11
10
00
11
11
00
00
01
10
10
00
00
10
11
10
10
01
10
11
00
10
00
00
11
00
11
10
10
00
01
00
10
01
01
01
00
11
00
10
00
10
00
00
11
01
11
11
01
10
01
11
00
10
10
00
10
01
01
00
00
00
11
10
01
00
01
11
11
01
00
10
10
11
01
00
11
10
10
11
00
00
11
10
00
11
10
01
00
10
01
10
10
10
10
00
10
11
01
00
10
11
11
00
00
11
11
10
00
00
00
11
11
10
00
10
10
10
10
01
00
11
11
01
11
10
00
01
10
10
10
00
00
10
10
11
00
00
10
01
00
11
10
10
10
11
00
00
00
00
00
00
10
01
10
11
00
10
10
11
00
00
10
00
01
10
00
00
01
00
10
11
11
00
00
01
11
00
01
01
10
11
01
10
00
10
00
10
10
01
11
10
00
00
11
10
01
00
11
11
01
00
10
11
00
10
10
00
01
10
10
00
00
11
00
11
01
01
10
01
10
11
00
00
10
10
10
01
00
01
10
11
11
00
00
00
00
01
01
01
00
11
01
01
10
11
00
01
10
10
00
00
10
10
01
11
01
11
11
01
00
10
10
10
00
00
10
10
00
00
00
01
10
10
10
11
01
00
11
11
10
11
00
10
10
01
11
00
01
10
10
00
00
00
10
10
11
00
00
10
11
00
00
00
10
10
00
00
00
10
01
00
00
10
11
11
10
11
00
10
01
01
10
00
01
10
11
11
00
01
00
00
11
10
00
10
01
10
00
00
10
00
01
10
10
01
00
11
00
10
10
10
01
10
00
00
00
10
10
11
10
11
00
01
10
10
00
00
00
01
00
10
11
10
10
01
10
11
11
01
01
10
00
00
00
10
11
00
01
01
01
00
10
00
00
00
00
10
11
10
11
10
01
00
01
00
10
00
00
10
01
00
10
11
10
01
10
01
01
01
11
10
10
11
00
00
11
10
01
00
01
11
10
00
10
00
00
00
01
10
10
10
01
11
11
10
01
10
11
10
10
10
00
00
10
11
00
01
01
11
10
10
01
01
10
00
00
10
00
01
01
10
10
10
10
00
10
01
00
00
10
01
00
01
10
10
00
00
00
10
10
00
11
00
11
10
01
00
10
11
10
11
00
10
10
00
10
10
01
01
10
11
00
10
00
10
10
00
00
10
00
10
01
00
01
10
10
10
00
01
01
01
10
11
00
01
00
11
10
00
00
00
01
10
10
01
10
00
10
11
11
10
00
00
00
00
10
10
00
01
10
01
01
00
01
10
01
10
00
00
00
01
10
10
10
01
10
01
00
10
11
01
01
01
11
10
00
00
11
00
01
10
10
10
11
10
11
10
01
00
11
01
00
00
01
11
10
10
00
01
00
10
11
11
10
10
11
10
10
10
10
01
01
10
01
01
00
10
11
00
00
00
11
10
00
11
10
00
01
01
10
10
00
00
01
10
01
10
11
11
11
11
00
10
10
11
01
00
10
10
10
00
10
10
00
00
10
01
10
10
10
10
00
10
01
10
10
00
11
00
10
10
10
00
10
01
10
10
00
00
00
00
00
01
01
11
10
00
10
01
11
11
11
00
00
00
00
11
11
11
00
10
10
10
00
00
01
10
10
00
01
00
01
00
10
11
10
00
00
10
10
01
11
10
01
10
10
00
00
11
10
10
01
00
00
10
10
01
11
00
10
00
00
10
11
10
01
11
00
00
00
00
10
00
11
10
00
01
00
11
01
01
00
10
11
10
10
00
11
10
00
10
00
00
10
01
00
11
10
11
10
00
10
00
10
11
11
01
00
00
10
11
11
01
00
00
11
00
01
11
10
00
10
01
00
10
10
10
01
00
10
01
10
10
01
00
00
01
11
00
00
10
10
11
00
11
10
10
10
00
00
00
00
11
10
10
01
10
10
00
10
00
10
10
01
01
10
01
11
01
00
10
11
10
00
01
00
11
10
10
10
10
00
00
11
11
01
01
01
11
10
00
00
00
00
11
10
00
11
00
01
00
00
01
11
01
00
00
10
10
00
11
00
10
10
01
11
10
10
11
01
01
10
00
01
11
01
10
10
00
10
01
00
10
10
10
01
00
00
00
10
01
10
01
11
00
01
10
10
10
10
01
11
00
01
01
01
01
10
01
00
10
10
00
01
11
10
00
01
00
10
01
01
10
10
10
10
10
10
00
00
00
00
00
10
11
11
10
00
10
11
10
11
00
00
10
11
10
11
10
01
01
10
10
00
01
10
10
10
00
11
00
00
10
10
00
11
11
00
11
11
00
10
00
10
01
10
10
00
00
10
01
00
01
00
01
00
01
01
10
00
11
10
01
01
00
00
01
11
00
00
10
10
10
00
11
11
00
10
00
00
10
10
00
01
10
11
00
10
01
00
11
10
10
00
11
11
10
11
10
10
11
10
00
11
10
01
00
00
10
10
10
01
00
11
00
00
00
00
10
10
10
00
01
00
00
10
11
01
11
00
10
10
10
01
01
11
11
00
01
10
00
00
10
00
00
00
10
00
11
11
00
10
01
10
10
00
01
10
11
11
10
10
10
01
11
00
01
01
10
11
10
10
10
00
01
10
01
00
10
10
00
10
10
10
00
10
11
01
00
01
11
10
01
10
00
01
00
11
11
00
00
11
10
11
00
11
10
01
01
00
10
10
11
00
11
10
00
11
11
00
10
00
00
01
11
11
00
11
00
01
00
01
11
00
10
10
00
10
11
01
10
01
10
00
00
00
01
10
10
01
00
00
01
10
10
10
10
10
10
00
00
00
11
01
01
10
00
10
10
10
10
00
01
10
11
00
01
10
10
00
01
00
11
01
10
10
11
00
00
00
10
01
10
00
10
00
01
10
00
10
01
00
01
10
01
10
00
00
10
00
00
00
10
00
10
10
00
01
00
10
00
10
10
01
00
11
00
10
00
01
10
00
00
11
10
11
11
10
01
10
11
00
10
10
10
00
10
10
01
11
01
00
01
00
01
10
01
01
10
10
00
00
10
11
00
10
10
11
10
01
11
01
01
01
10
00
10
11
00
00
10
11
11
11
01
11
10
10
11
00
10
10
00
01
10
00
00
11
00
00
00
10
10
10
10
10
01
11
10
11
00
10
00
01
00
01
01
10
00
10
10
10
00
00
10
10
01
11
00
01
00
10
10
00
00
11
11
00
10
10
10
11
01
01
10
00
01
11
01
10
10
01
10
10
10
11
00
00
00
10
00
00
10
01
01
11
11
00
10
10
00
00
00
11
10
10
11
01
00
01
00
10
10
00
10
11
10
00
10
00
11
10
11
00
00
10
11
00
01
10
10
11
01
01
00
10
11
10
00
10
10
00
00
00
00
11
00
01
00
00
00
00
00
00
00
10
10
10
10
01
10
10
10
01
01
00
00
11
00
00
01
10
00
00
10
00
10
10
10
11
00
00
01
11
01
01
01
01
10
01
10
11
00
00
10
00
11
01
00
10
00
00
01
00
10
01
11
10
10
01
00
00
00
10
10
00
00
11
00
00
11
10
01
10
11
10
00
11
10
11
10
01
10
11
00
10
11
00
01
10
01
10
10
10
11
11
00
00
10
01
00
01
11
11
00
11
10
00
10
11
00
01
11
11
10
00
11
10
00
00
10
10
00
00
10
01
00
10
10
10
10
11
10
11
00
00
00
00
11
11
00
00
11
00
00
10
11
10
11
00
00
01
10
11
11
10
01
10
00
00
11
10
10
00
01
10
11
10
00
11
11
10
10
00
00
00
11
10
01
11
00
00
10
00
10
11
10
11
01
11
00
01
10
00
00
10
01
10
10
01
10
10
11
10
10
01
01
10
00
11
01
10
00
01
11
00
01
01
10
00
00
10
11
00
01
10
10
00
10
10
00
10
11
00
00
10
11
00
01
01
00
10
01
10
11
01
00
11
00
00
10
11
00
10
00
11
00
10
00
00
11
11
01
00
01
10
10
00
11
10
01
00
00
01
10
00
10
00
01
10
10
10
01
00
01
10
01
10
11
00
10
01
00
00
10
00
00
00
11
00
11
00
10
10
00
00
10
01
01
11
01
10
00
11
11
00
01
00
11
10
01
10
01
00
00
11
10
00
11
00
00
11
11
00
00
11
10
00
00
00
00
10
00
01
11
11
11
11
10
10
00
01
10
10
01
01
10
10
00
00
10
01
11
10
00
01
10
00
11
01
00
01
10
10
00
01
10
11
01
01
00
10
10
00
10
10
01
01
00
01
01
00
00
10
10
00
00
10
10
01
00
00
00
00
00
01
01
10
01
01
10
00
00
10
00
01
10
10
01
10
00
10
10
00
00
11
10
10
00
10
01
10
01
00
10
01
00
11
11
11
01
01
00
10
00
10
10
00
00
11
11
00
10
10
00
00
00
00
10
00
00
11
10
00
10
01
00
00
10
00
11
01
01
00
10
00
10
00
00
10
11
01
00
10
10
10
01
10
01
00
10
11
10
11
01
01
11
01
01
00
01
11
01
01
10
11
01
00
11
10
10
00
00
10
11
00
01
11
00
11
10
01
00
11
10
01
10
10
00
00
00
11
01
00
11
10
01
10
10
00
10
10
10
10
11
10
11
00
00
10
11
00
00
11
11
01
10
10
10
01
11
00
00
00
01
01
10
10
00
00
00
11
01
10
01
00
00
11
10
10
00
10
11
10
00
10
01
11
00
00
10
11
11
10
00
00
10
10
00
00
10
10
00
00
00
10
01
01
11
01
10
10
10
00
01
11
10
00
11
01
10
10
01
01
00
11
10
11
10
11
00
00
10
11
00
00
00
11
00
10
10
10
00
10
10
00
10
11
00
10
11
00
01
10
00
10
01
00
01
11
10
10
10
10
10
00
00
01
01
01
10
10
10
00
01
10
10
00
11
11
10
01
00
00
10
10
10
00
10
10
00
10
00
00
01
10
00
10
00
00
10
10
00
00
10
01
10
11
10
11
00
01
10
01
00
11
00
10
10
00
01
10
10
00
10
00
00
11
01
10
00
11
10
00
10
00
10
11
10
10
11
00
11
11
00
00
11
00
01
00
10
10
11
00
10
10
00
00
10
11
00
10
01
01
10
00
00
00
00
10
01
00
10
10
00
11
01
11
00
10
10
00
10
10
11
01
10
10
01
10
11
01
11
11
10
01
01
00
11
10
00
00
00
11
11
01
00
00
10
10
00
00
11
10
10
11
01
00
11
10
01
10
10
10
01
00
11
00
00
10
10
11
01
11
11
10
11
10
10
00
01
11
11
00
01
01
10
11
01
00
11
10
00
10
11
00
11
00
01
00
00
00
10
10
00
10
10
10
01
00
00
01
11
01
00
11
10
00
00
00
01
10
10
00
01
11
10
01
11
11
00
00
00
00
01
01
11
10
00
01
00
10
00
00
10
11
10
10
10
10
01
00
01
10
11
01
00
01
01
11
01
10
11
10
10
00
01
10
10
10
00
10
10
00
01
11
10
01
10
10
00
00
10
10
10
01
10
01
00
00
00
10
10
00
10
00
10
10
00
10
00
01
01
10
10
00
11
01
11
10
00
11
10
01
10
10
00
10
10
00
10
00
01
10
00
11
10
10
10
10
10
00
10
00
10
10
01
10
10
00
10
11
10
00
00
00
11
10
11
10
01
01
01
10
00
10
11
01
11
10
01
01
11
11
00
00
10
10
01
01
10
10
00
01
00
01
01
11
00
00
00
01
00
10
11
00
00
00
10
11
00
00
00
00
00
11
11
00
00
10
10
10
10
10
10
00
01
00
00
01
01
01
01
11
10
10
01
00
01
10
11
01
00
00
10
00
01
00
00
10
11
00
01
11
00
00
11
11
00
00
10
10
00
00
00
00
00
10
10
01
00
10
00
00
11
00
10
10
00
00
00
11
10
00
00
00
10
11
11
01
10
11
00
01
00
10
00
11
10
10
10
01
00
10
00
11
00
00
10
00
11
00
00
10
11
00
01
00
00
01
11
01
01
01
10
10
01
01
10
11
01
00
10
10
01
10
10
00
10
10
00
10
00
00
00
10
10
01
11
00
01
00
00
10
10
10
00
00
11
10
10
11
10
11
11
10
00
11
00
01
10
00
10
10
01
10
01
00
10
00
00
10
00
00
10
10
10
00
00
10
00
00
00
00
00
00
11
11
10
01
10
11
10
00
00
00
10
00
10
10
10
01
00
01
11
11
10
00
10
10
01
00
10
10
10
11
00
10
10
11
10
10
00
00
10
00
00
00
00
10
11
11
00
11
10
11
00
10
10
01
10
11
00
00
01
00
10
11
01
00
11
01
11
01
01
00
00
00
11
10
00
00
01
00
10
00
11
10
10
00
01
00
10
10
00
01
00
11
10
11
00
11
00
00
10
10
10
00
10
10
00
01
10
00
00
10
11
01
11
11
01
10
00
00
10
10
00
01
10
11
00
00
01
10
01
01
01
10
01
01
00
00
10
11
11
00
10
11
10
00
01
00
00
10
10
11
11
01
10
00
01
00
00
10
10
01
00
10
10
00
01
01
01
10
10
01
10
10
00
10
10
00
00
10
11
00
00
00
11
10
11
10
01
10
00
00
00
00
11
10
01
00
11
10
00
10
10
11
00
00
10
10
01
01
00
10
01
00
01
11
11
01
10
00
10
10
00
10
11
00
00
10
10
00
00
00
11
10
01
10
10
00
00
10
00
11
10
10
00
00
11
11
11
10
10
11
10
10
01
01
11
00
10
00
00
10
00
10
11
01
00
10
00
00
10
00
00
00
00
10
00
01
00
10
10
10
00
01
00
11
01
00
01
01
10
01
11
10
00
10
10
10
11
01
00
10
11
10
10
00
00
00
00
10
01
10
00
00
11
00
10
00
01
10
10
01
00
00
10
00
00
10
01
00
01
10
01
01
10
01
01
11
10
00
00
10
00
11
00
01
10
11
10
00
00
11
10
00
01
10
10
01
10
00
00
01
10
10
00
10
10
10
11
01
10
01
00
11
00
10
11
01
10
00
01
10
11
10
00
01
10
00
10
10
01
10
11
01
10
11
10
11
01
10
10
10
10
01
00
11
10
10
10
01
00
11
10
00
10
00
00
10
10
00
00
01
10
11
00
10
01
10
11
00
01
10
01
10
00
01
11
11
11
10
01
00
10
01
00
10
11
10
00
10
10
00
10
00
11
00
00
00
10
01
11
10
00
10
10
10
11
01
10
10
10
10
10
00
00
00
10
01
11
10
10
00
01
00
00
10
10
11
10
10
10
11
00
10
01
00
11
10
00
10
01
11
10
10
00
10
11
00
10
10
00
10
10
10
00
00
11
00
10
00
10
00
10
00
00
10
10
10
01
10
10
10
11
00
11
00
01
10
11
10
00
11
10
10
00
00
00
10
11
10
00
01
10
11
10
11
00
10
10
00
11
11
10
11
00
10
00
10
01
00
11
00
00
00
00
11
10
11
11
01
00
01
11
11
11
01
11
11
11
01
11
10
11
00
10
00
00
10
10
00
00
00
10
00
00
11
00
01
00
10
01
00
01
00
10
10
01
10
10
00
00
11
11
11
11
00
00
00
10
00
00
10
00
11
00
01
10
11
01
10
01
10
11
00
00
10
10
00
00
00
10
11
00
01
01
01
00
10
00
00
10
11
10
00
01
10
10
10
10
10
00
10
00
00
10
11
10
10
01
00
01
11
11
01
00
01
10
00
00
10
00
00
01
10
10
11
10
10
00
11
11
11
10
10
00
11
00
00
00
10
10
01
11
00
10
11
00
01
11
11
00
00
00
00
00
11
00
01
11
10
00
10
11
00
10
10
01
01
11
00
10
10
01
00
11
01
01
11
11
00
11
00
10
11
11
00
00
00
10
01
00
00
11
11
00
00
00
10
11
00
10
00
01
11
01
00
10
10
11
00
00
10
10
10
11
00
01
00
00
00
10
10
01
10
11
00
00
10
10
00
01
10
10
10
11
01
11
00
11
01
10
10
01
10
10
11
00
00
11
10
10
00
10
11
00
01
00
01
01
00
10
11
01
11
10
01
11
11
01
11
00
01
11
10
01
00
10
10
10
00
01
11
11
00
10
10
00
00
01
00
10
10
10
00
00
00
10
10
00
11
00
00
00
01
11
10
10
01
10
01
11
00
00
10
10
10
10
10
10
00
00
00
11
10
01
00
00
00
11
00
10
00
01
00
10
10
00
00
10
00
10
00
00
10
00
01
11
10
01
00
00
10
11
00
01
10
11
00
10
10
01
10
10
11
00
00
10
00
11
10
10
11
00
01
10
01
01
10
10
01
10
11
00
10
11
10
10
01
10
01
00
01
00
01
10
00
11
10
11
10
01
01
11
00
01
00
10
00
00
10
10
00
00
10
11
00
00
00
00
01
01
10
11
10
10
10
00
10
00
11
11
01
01
10
11
00
00
01
11
10
01
10
10
10
00
00
10
01
00
01
10
10
01
00
11
10
10
01
11
01
10
00
00
00
00
10
10
00
01
01
10
11
11
11
10
00
01
10
10
01
10
11
00
11
11
01
01
00
11
11
10
01
00
11
10
11
01
10
10
00
00
00
11
10
10
10
11
10
11
01
01
10
10
00
10
00
00
11
00
00
00
10
01
00
11
11
10
00
11
10
01
00
01
11
10
00
01
00
10
10
10
01
10
00
10
00
00
00
11
10
01
10
00
10
00
01
10
10
00
01
10
00
00
10
10
10
00
01
10
10
00
10
01
00
10
10
11
00
00
10
10
00
01
00
00
00
00
01
10
00
01
10
10
01
10
10
10
11
10
00
01
10
11
10
11
00
01
10
00
11
10
00
01
11
01
00
10
00
10
11
10
11
00
00
00
00
10
01
00
11
00
00
11
00
00
10
01
00
00
00
10
10
10
00
00
01
00
00
10
10
11
00
00
11
10
10
01
00
00
00
10
10
00
01
10
10
00
00
01
10
00
01
11
10
00
10
11
10
01
00
10
10
00
01
10
00
00
01
11
10
10
00
00
00
10
10
00
10
10
10
11
01
11
01
10
10
00
00
10
10
00
10
01
10
01
10
10
10
10
01
10
10
00
00
10
00
10
10
00
11
10
10
10
01
10
00
00
00
11
00
00
11
00
00
10
00
01
00
11
00
00
10
01
00
10
00
00
00
00
10
11
01
11
00
10
10
11
01
00
11
10
00
00
10
10
01
00
10
10
01
10
10
00
11
10
11
00
00
11
10
11
11
10
01
10
01
00
10
10
00
00
11
10
01
00
10
01
01
01
11
10
00
00
00
00
00
10
10
00
00
11
01
11
10
10
10
00
10
00
10
11
10
00
00
01
00
11
10
01
10
00
10
00
10
11
00
10
10
00
01
10
00
00
00
10
00
00
11
00
01
10
00
10
00
11
11
10
00
00
10
10
10
00
10
00
00
00
00
11
00
10
10
01
00
10
01
11
11
11
11
00
10
00
10
11
00
01
11
00
10
10
00
10
00
10
10
00
00
10
00
01
11
10
10
10
00
11
00
01
01
10
10
10
10
11
11
10
00
10
11
11
01
00
00
10
00
00
11
10
10
10
01
10
00
11
00
10
11
00
10
00
10
00
10
10
10
10
01
00
00
00
01
10
10
00
00
00
01
11
00
10
01
01
00
10
10
00
00
00
11
11
01
11
10
00
11
00
00
10
10
00
00
00
00
00
01
00
01
01
11
11
11
00
10
10
01
00
11
11
00
01
00
10
11
11
00
11
01
00
11
00
10
01
00
10
11
01
00
11
10
11
00
00
10
10
00
01
00
11
11
11
11
10
10
00
00
10
01
00
11
11
00
10
00
01
01
11
11
10
10
10
00
01
10
11
00
10
01
00
11
00
00
01
10
10
00
00
10
00
10
10
01
00
11
10
00
10
11
00
01
00
10
11
10
11
11
00
01
11
10
01
10
10
00
11
11
11
00
00
01
10
10
10
01
00
01
01
01
00
00
10
00
00
10
00
11
01
00
00
00
10
01
00
10
10
00
10
11
00
00
01
11
10
00
11
00
00
11
01
10
01
00
00
10
00
11
10
10
00
10
11
00
10
10
01
00
01
10
10
01
10
00
11
01
10
00
01
01
01
10
10
00
00
00
00
10
01
10
10
00
10
11
10
11
10
11
00
00
01
10
01
00
01
00
10
01
00
00
00
11
10
00
01
10
01
00
11
11
11
10
10
01
00
11
11
10
10
11
11
00
00
00
00
00
10
00
01
11
11
00
00
10
10
11
00
10
10
00
00
10
00
01
11
11
00
10
01
11
00
11
10
00
10
01
00
10
01
00
10
10
01
11
00
00
00
00
00
01
10
10
00
01
00
10
01
10
00
01
10
11
10
00
11
10
01
00
00
10
11
00
00
01
11
01
11
00
11
10
10
01
00
11
11
10
01
01
00
01
01
10
11
00
00
10
01
00
10
00
00
00
01
00
01
11
00
01
10
01
00
00
11
10
01
11
00
01
10
10
01
01
10
01
01
10
01
10
00
11
00
10
00
00
10
10
00
10
01
10
10
01
11
11
00
10
10
10
01
01
01
10
00
00
11
10
00
00
00
00
10
10
10
00
00
10
11
11
10
01
01
00
01
00
01
10
00
00
00
00
10
00
10
10
11
11
00
10
11
11
10
01
00
01
00
11
11
11
00
11
10
00
00
00
00
10
00
11
00
00
01
00
00
00
00
00
11
00
01
00
11
00
10
00
11
01
01
01
10
10
10
00
11
10
10
00
00
11
10
01
00
00
10
01
01
10
11
10
11
00
11
01
10
00
10
11
00
01
10
11
00
00
01
10
01
00
01
11
10
01
11
10
00
00
10
11
10
00
00
10
01
10
00
01
01
10
00
10
00
01
10
00
00
01
01
01
11
10
00
01
00
11
11
00
00
10
10
00
01
10
10
10
00
10
00
00
00
11
00
11
10
01
00
10
00
10
00
00
00
01
00
00
00
10
10
00
10
10
10
11
00
00
10
10
11
00
11
11
00
00
11
00
10
10
11
00
01
01
11
01
11
11
00
00
10
10
00
00
10
10
10
00
00
10
10
00
01
00
11
10
01
00
11
11
00
10
00
00
00
00
11
10
00
01
10
01
10
00
01
11
10
10
00
00
10
10
10
10
00
00
01
11
10
10
00
01
11
00
00
10
00
11
01
10
10
00
00
10
10
00
00
01
11
10
00
10
10
10
11
01
00
10
01
01
00
10
10
11
01
00
11
00
00
10
01
11
11
10
00
10
10
00
01
01
10
00
11
00
11
00
00
01
10
11
10
00
00
11
00
11
00
10
10
00
10
10
00
00
10
11
00
10
00
10
00
00
11
00
01
00
01
10
10
10
00
01
00
01
00
10
00
00
10
11
00
11
10
00
10
11
00
11
10
00
01
11
00
00
00
11
10
01
10
10
01
00
10
10
10
00
00
10
10
10
10
11
10
10
01
00
11
00
11
00
01
10
10
10
01
10
10
11
00
00
10
01
10
00
00
00
00
10
11
11
11
10
10
01
01
00
00
10
11
10
10
00
10
11
01
01
00
00
10
00
11
10
01
00
11
10
10
10
00
01
11
10
01
00
11
01
00
00
00
10
10
00
01
10
01
00
10
00
00
00
10
10
00
11
10
00
01
01
00
01
00
10
10
01
10
11
00
10
00
01
11
11
11
00
10
10
00
11
00
00
00
00
00
00
10
00
00
10
01
10
10
00
10
10
10
01
01
11
01
10
10
10
01
00
11
10
10
00
01
00
11
00
10
00
00
01
01
10
11
00
00
10
01
10
11
00
01
10
10
10
11
10
01
11
01
00
00
11
10
10
00
00
10
00
00
00
10
11
00
00
00
10
10
00
10
00
01
00
10
11
10
10
00
10
11
00
00
11
11
00
00
01
11
10
00
00
10
10
00
01
10
10
10
00
00
11
11
01
00
10
00
00
10
10
00
11
10
00
10
11
10
11
00
00
00
11
01
10
11
00
11
10
00
10
10
10
00
01
11
10
10
00
10
00
01
10
00
10
00
00
01
01
10
01
11
11
10
11
00
01
10
00
00
10
01
10
10
10
01
01
11
01
00
11
00
10
10
01
01
00
10
10
00
11
00
10
10
00
10
01
10
01
10
10
00
10
01
10
10
10
10
11
10
00
10
00
00
00
10
10
00
01
10
10
00
01
00
01
01
11
10
11
01
11
00
00
10
01
00
10
00
01
10
00
10
01
01
10
10
00
10
01
10
10
00
11
11
00
00
00
11
00
00
10
11
00
01
01
10
01
00
01
10
10
01
00
01
00
10
10
11
01
11
00
00
10
10
10
10
00
10
00
00
00
10
11
10
10
10
00
10
10
10
01
01
10
00
10
10
00
00
11
11
00
01
11
01
00
00
11
11
11
11
00
00
10
10
00
10
01
01
10
11
00
11
11
11
01
00
11
10
00
00
00
10
10
00
11
11
00
10
10
00
11
10
10
10
11
00
10
10
00
11
11
01
10
11
10
01
01
00
01
10
10
01
01
10
01
10
10
00
01
00
11
00
10
11
00
00
11
10
10
10
00
00
11
10
11
00
00
10
00
11
00
10
10
00
00
00
00
01
10
10
01
10
01
00
00
10
10
01
01
10
10
00
00
00
10
10
10
10
00
10
01
00
00
00
10
01
00
01
11
10
11
10
00
01
11
11
00
10
10
01
00
11
10
00
00
10
00
10
10
11
00
00
00
10
01
00
00
00
00
00
10
10
10
00
00
11
00
11
10
01
00
00
10
10
01
10
11
00
00
10
11
10
01
01
11
10
10
01
10
11
01
01
00
01
01
11
10
00
11
10
01
00
01
01
01
00
00
00
11
11
00
10
10
00
10
10
11
00
11
00
10
10
00
11
00
00
10
10
01
00
11
10
00
10
01
10
00
10
10
01
00
10
10
01
00
01
01
10
01
11
00
10
10
00
10
01
00
10
00
00
00
00
11
00
00
11
10
01
11
10
00
10
10
00
01
10
11
00
00
10
00
11
11
11
00
01
01
11
10
00
10
10
00
00
00
10
00
01
11
11
10
01
00
10
10
10
10
00
11
00
11
10
01
00
00
00
10
10
01
10
00
00
00
00
00
10
10
01
10
01
10
01
00
01
10
00
00
10
00
00
01
10
10
00
01
10
00
10
11
10
01
11
10
11
10
00
01
01
00
10
01
00
10
11
00
01
10
10
00
00
11
10
11
11
01
10
00
10
00
00
10
10
10
00
11
10
00
10
10
10
01
10
00
00
10
11
10
10
00
11
01
00
11
11
11
10
10
10
00
10
10
00
00
11
11
10
11
01
11
10
10
00
10
00
01
01
00
00
00
11
01
01
10
00
00
00
00
01
11
11
10
00
00
00
00
11
10
00
00
01
10
11
10
10
10
10
10
00
10
00
10
10
00
00
10
01
10
00
00
00
00
00
10
10
11
10
00
10
11
00
00
00
10
10
00
00
11
11
10
10
00
10
10
10
00
01
10
10
10
00
00
10
00
00
11
00
00
01
10
00
10
00
10
10
00
11
00
00
00
10
10
01
01
10
11
00
11
00
01
01
00
10
00
00
10
11
00
10
10
00
10
00
01
11
00
01
00
11
00
10
11
00
01
01
11
11
10
10
00
00
11
10
00
10
10
01
10
01
10
10
10
00
01
10
10
00
00
00
10
11
00
01
11
01
11
01
00
10
00
00
10
10
00
00
10
01
01
10
10
10
00
00
10
11
00
01
01
01
10
10
01
01
00
11
00
01
10
10
10
00
01
11
01
10
10
11
00
11
11
00
00
01
00
01
10
00
10
11
00
11
00
01
10
00
01
01
11
10
10
10
10
00
11
00
10
10
10
00
10
10
10
00
00
10
00
00
01
00
10
00
10
10
00
00
00
11
01
00
10
11
00
00
10
00
10
11
01
10
00
01
01
00
01
10
10
11
00
00
00
01
10
01
00
11
00
00
10
10
00
00
10
10
00
00
00
10
11
11
11
11
10
11
10
00
10
01
01
10
00
11
10
10
00
00
10
01
01
10
10
00
00
10
01
01
10
01
00
00
00
11
01
00
11
10
10
00
00
00
00
10
10
01
10
00
10
11
01
10
11
11
10
11
01
01
10
00
11
01
01
10
00
11
10
00
10
00
00
10
00
10
10
10
10
11
10
00
10
11
01
10
11
00
00
00
01
00
11
00
01
10
01
10
10
11
00
11
10
00
00
00
10
00
10
00
10
01
00
10
10
00
00
00
00
00
10
00
00
10
00
10
10
10
01
00
00
01
01
10
01
00
00
00
10
10
01
00
10
01
00
11
00
11
01
00
10
11
10
00
01
10
00
10
10
10
00
10
10
10
01
00
00
10
10
11
00
00
00
10
10
11
00
10
10
10
10
11
10
10
01
00
00
10
11
00
10
10
10
10
10
10
00
00
00
10
10
00
10
01
00
00
00
01
00
01
00
10
10
11
10
10
11
00
00
00
00
10
11
10
11
01
00
00
10
11
10
10
01
01
10
10
00
11
01
10
10
10
10
10
00
00
10
10
01
00
10
01
01
01
10
11
00
01
00
10
10
00
01
11
00
10
01
10
11
00
11
00
01
00
10
11
01
11
01
00
10
10
00
01
00
11
10
10
00
01
10
00
01
11
11
00
10
11
10
00
00
00
00
11
01
11
10
00
00
10
01
01
10
00
11
10
00
00
10
10
00
01
10
00
00
10
00
10
00
11
01
10
00
00
10
10
01
10
10
00
00
10
00
00
00
01
10
10
00
10
11
11
00
00
11
10
10
11
00
11
10
11
10
10
00
01
10
00
00
00
10
11
00
00
01
10
11
01
10
11
01
01
11
10
00
00
01
00
10
10
01
10
01
00
10
00
00
10
01
00
10
10
00
00
01
11
10
10
10
00
00
01
11
01
00
00
00
10
10
10
00
01
00
11
10
11
10
00
10
01
00
10
01
00
11
01
01
11
10
00
10
10
01
00
11
10
01
11
00
00
00
11
01
10
01
00
00
01
00
00
10
10
11
10
10
10
10
01
01
00
11
10
00
11
11
11
01
00
10
01
10
00
00
10
01
10
10
10
10
01
10
10
00
11
10
01
01
11
10
01
00
10
10
10
10
00
00
10
10
01
11
01
10
00
00
01
10
00
00
10
01
00
00
10
00
11
10
11
10
01
10
10
11
00
10
10
01
10
00
00
11
11
01
00
10
01
00
10
00
00
00
00
01
10
01
00
11
00
01
00
10
01
10
10
10
00
00
11
00
11
00
10
00
11
00
10
00
00
10
01
11
11
00
00
01
10
11
01
00
00
11
00
01
01
11
10
01
10
01
01
10
00
00
10
10
00
10
11
00
00
10
00
01
01
01
01
00
00
11
11
01
10
10
00
00
10
11
10
00
01
10
10
10
01
00
10
10
00
10
00
00
00
11
10
00
01
00
11
10
10
10
11
00
01
01
10
11
00
10
10
01
00
11
11
01
00
10
10
10
10
01
01
11
11
00
10
10
10
01
01
11
10
11
00
01
00
11
10
00
10
01
00
01
00
11
10
00
00
10
00
00
00
00
00
10
10
00
10
01
10
01
00
10
10
00
00
10
10
00
10
10
00
10
01
11
10
00
11
01
00
00
11
00
00
10
11
00
11
00
11
01
00
10
00
00
00
00
10
11
00
11
10
01
00
00
10
00
11
10
10
00
11
01
00
10
00
10
11
11
00
00
10
00
11
00
01
10
00
10
01
00
10
01
01
11
10
10
10
00
00
10
11
01
11
00
00
10
01
10
10
01
00
01
01
10
10
00
10
10
10
00
01
00
00
00
10
11
01
00
00
10
11
10
11
00
00
00
10
00
10
00
00
00
10
11
10
01
11
11
00
11
00
11
10
00
11
00
10
10
11
10
00
00
10
00
11
01
00
00
00
10
00
00
10
10
00
00
11
00
10
00
10
00
11
00
10
11
10
01
01
01
11
11
00
11
10
00
00
00
11
00
00
11
11
00
00
10
01
10
11
11
10
01
00
00
10
00
11
00
00
11
10
00
11
00
10
00
10
11
11
00
00
10
10
11
10
00
00
10
00
10
10
00
00
00
00
00
00
01
11
00
00
10
11
10
11
11
01
00
00
10
10
01
01
00
11
01
01
11
10
00
10
10
00
00
11
01
00
00
10
11
00
00
01
10
00
10
00
11
11
01
00
00
01
10
11
10
00
00
10
01
11
10
00
11
00
00
00
00
11
00
11
11
10
01
01
01
01
00
11
00
11
10
11
01
00
00
10
11
01
01
10
10
00
00
00
10
10
00
00
10
00
00
10
10
10
00
10
00
11
10
00
00
00
10
00
10
11
00
10
10
00
00
10
10
10
00
10
10
00
10
00
01
10
00
10
11
00
00
01
00
10
10
01
01
01
10
10
10
10
01
10
10
01
11
11
00
11
10
00
00
10
10
00
00
10
00
10
11
01
11
01
10
00
11
00
00
01
01
00
01
11
00
10
10
11
00
10
11
00
10
00
10
10
10
00
00
10
01
00
00
00
00
01
11
10
10
01
10
00
10
10
00
10
10
00
00
01
10
00
01
10
00
00
00
11
01
01
10
00
10
01
10
01
10
10
01
00
00
11
00
00
10
00
00
01
01
11
10
00
10
10
10
01
00
10
11
10
00
01
01
00
10
01
00
10
10
01
10
10
11
10
00
00
00
10
11
00
10
00
10
01
10
00
01
10
01
10
11
10
01
00
01
11
01
01
10
00
00
10
11
00
01
10
00
00
10
01
00
10
11
00
10
00
00
00
00
00
11
00
00
00
10
11
10
00
01
11
11
01
10
01
00
00
10
11
01
01
01
00
10
10
11
00
00
10
11
11
10
10
01
00
00
10
10
00
11
00
00
10
01
10
11
00
00
10
00
00
10
10
00
01
11
10
10
01
10
00
00
01
10
10
10
00
10
10
00
10
01
00
10
10
00
11
11
11
01
00
10
10
00
10
00
11
11
10
10
00
00
00
01
10
01
00
10
00
01
00
10
10
00
01
10
01
00
01
00
10
00
11
10
00
00
10
10
10
10
10
11
00
00
00
10
11
01
11
11
01
10
00
00
00
10
01
11
10
11
10
10
00
00
11
11
01
00
10
10
00
00
01
00
10
01
11
10
10
00
01
10
01
11
11
01
10
10
00
00
10
10
00
00
00
10
11
01
11
01
00
00
10
01
00
10
01
00
10
10
00
00
10
10
10
00
00
01
00
11
00
01
11
11
10
01
00
10
10
00
10
10
10
00
10
10
00
10
00
01
11
00
01
00
01
00
10
10
10
00
01
01
11
01
10
10
00
11
11
11
00
00
11
10
10
01
01
10
11
11
11
10
00
00
00
01
01
11
01
10
11
01
10
00
00
01
11
01
01
10
11
11
01
10
11
00
00
11
01
11
10
10
00
00
00
00
10
10
00
01
11
01
00
11
01
00
10
11
01
00
01
00
10
10
10
10
01
10
01
00
00
10
10
01
10
00
00
10
11
11
11
00
11
01
01
10
00
10
11
11
10
01
00
10
10
00
11
10
01
00
11
00
01
00
00
10
10
10
00
01
10
10
00
10
01
01
01
00
00
10
10
00
00
10
00
10
10
11
11
00
00
00
10
11
00
00
01
10
10
10
00
10
11
00
10
11
00
01
00
00
01
00
00
11
11
11
10
01
01
00
10
11
01
00
11
00
10
00
01
10
00
01
00
00
01
00
00
00
11
11
00
10
11
10
01
11
01
01
11
01
11
10
00
00
10
00
01
00
10
11
00
00
00
11
10
00
01
10
10
00
10
10
10
10
01
00
10
00
00
10
10
10
10
01
10
00
00
10
10
00
01
10
11
00
01
01
00
00
10
00
10
10
00
10
01
10
01
10
01
00
01
01
00
10
10
01
00
11
00
10
00
10
01
10
00
00
00
00
10
00
10
01
11
00
00
00
10
01
00
10
00
01
10
00
10
10
00
00
00
10
00
11
10
11
11
01
10
10
00
10
10
01
01
10
00
00
10
10
10
10
10
11
10
10
00
00
10
11
00
01
01
10
00
10
01
10
01
00
00
00
11
00
00
10
10
10
10
00
01
10
10
00
11
10
10
10
11
01
00
00
10
10
00
00
01
10
00
01
00
00
00
00
10
10
00
00
11
10
00
00
10
00
10
00
00
11
10
01
10
11
10
00
11
01
10
11
01
01
01
00
01
10
01
00
10
11
00
00
10
01
01
10
10
00
10
10
10
00
10
01
10
00
01
00
10
11
10
00
10
10
00
01
10
10
00
10
10
01
01
00
11
00
10
01
01
11
10
11
00
00
00
10
11
00
01
10
11
01
10
11
11
10
11
00
01
01
11
11
01
10
10
00
00
00
00
11
11
10
00
10
11
00
10
01
00
00
10
00
10
10
11
10
10
00
11
00
00
00
11
00
10
10
00
00
10
00
11
11
01
11
11
00
10
00
00
00
11
10
00
10
00
00
10
10
00
01
10
00
01
10
01
01
10
11
11
10
10
10
11
01
11
00
00
11
10
10
10
10
01
01
00
01
11
10
00
00
10
01
01
10
10
01
00
11
01
00
11
10
10
01
10
01
00
10
10
01
00
11
11
11
00
01
11
00
00
10
00
00
10
10
11
11
00
10
00
01
10
00
11
10
00
10
10
01
01
10
11
11
11
11
00
00
11
10
00
01
10
11
10
10
00
01
10
10
00
01
11
00
00
00
01
10
10
10
00
10
10
10
10
10
00
00
01
00
00
10
00
11
00
00
10
11
10
00
00
10
00
00
00
10
10
00
10
00
10
00
10
11
10
10
00
11
10
00
00
10
10
00
00
01
10
11
00
01
10
11
10
00
00
10
00
00
00
11
01
00
11
10
10
10
00
00
11
10
00
10
10
00
00
10
01
00
01
10
11
00
10
00
10
01
00
01
10
10
00
00
00
11
10
10
10
00
00
00
10
00
10
10
10
01
10
11
10
11
10
01
10
10
10
00
01
00
11
00
00
10
10
00
10
10
00
00
11
10
11
00
00
00
00
01
10
11
00
10
00
01
01
00
00
10
00
00
10
00
00
10
00
10
11
01
10
00
00
11
10
10
11
10
10
01
00
10
00
01
10
01
01
10
00
10
11
00
00
10
10
00
10
11
10
10
01
11
00
11
00
00
10
10
01
11
01
10
01
11
10
10
11
00
00
11
00
10
10
10
11
01
00
11
01
00
01
10
00
10
00
10
00
01
10
10
00
00
10
10
11
10
10
11
10
11
01
10
10
01
10
10
10
10
00
00
11
00
10
00
00
10
01
10
11
10
00
11
11
00
00
11
10
10
00
00
11
10
00
00
10
00
11
10
10
00
10
11
10
01
10
01
10
10
01
00
00
00
00
11
10
11
00
11
00
10
11
10
01
00
00
11
10
01
00
10
10
10
00
11
11
00
10
10
00
00
10
10
10
00
10
01
01
10
11
01
10
10
10
01
11
01
00
10
10
11
10
01
11
10
11
00
00
10
01
10
11
01
00
10
10
10
01
01
10
10
00
10
10
00
00
01
01
00
10
10
00
00
00
10
00
11
00
01
11
01
00
10
00
00
11
10
10
11
00
01
10
00
11
00
10
01
00
01
00
10
11
11
01
10
00
01
10
00
11
00
00
00
10
11
10
00
10
11
10
11
01
00
00
10
10
01
11
10
01
00
01
00
00
11
11
11
01
01
11
00
11
00
00
10
11
00
10
00
00
00
10
10
11
10
00
10
11
10
00
10
00
10
01
00
10
11
00
10
01
10
01
00
00
10
00
01
10
00
01
10
10
10
00
11
01
10
11
11
00
10
00
00
01
10
10
11
00
00
10
10
11
01
00
11
11
11
10
00
01
10
11
01
00
11
10
00
00
10
11
00
00
10
00
01
00
00
10
11
10
00
10
10
10
10
10
10
11
01
10
10
10
10
10
11
00
00
10
10
10
11
11
00
00
10
10
01
01
00
10
00
11
00
10
00
00
00
10
10
00
10
01
00
00
10
00
10
10
11
11
00
00
00
00
01
10
11
00
01
10
10
11
00
11
10
11
00
00
11
00
01
11
01
10
00
01
10
01
00
01
10
11
11
01
00
10
01
01
01
11
01
01
10
11
00
10
11
01
10
10
11
00
10
10
01
10
10
00
11
10
00
01
10
10
00
10
00
10
10
00
10
00
00
00
00
11
10
00
00
10
00
10
10
11
00
10
00
01
10
11
10
01
10
10
01
10
01
00
11
10
00
10
10
00
00
00
10
00
01
11
00
10
01
01
11
11
10
10
00
00
10
10
01
01
10
00
10
10
10
10
11
11
10
00
00
00
00
11
00
00
11
01
10
01
00
10
10
00
01
00
00
01
00
10
00
10
10
11
00
11
01
10
00
10
10
01
00
11
11
10
10
10
10
00
10
10
00
11
10
10
01
10
00
11
10
10
10
00
01
01
00
00
00
10
00
11
11
00
10
10
00
01
00
00
10
00
10
00
10
00
01
00
00
10
01
01
11
10
00
00
10
01
00
11
11
10
00
00
01
00
01
10
01
11
10
00
00
00
11
10
01
10
00
00
11
10
01
01
10
10
00
10
10
01
01
00
10
10
10
11
00
00
10
10
10
11
01
10
10
11
00
11
10
01
10
00
11
10
11
00
00
10
00
00
00
01
10
10
00
00
00
10
10
11
00
00
10
00
00
11
00
01
11
10
11
10
10
01
10
10
00
00
10
10
11
01
10
11
00
01
00
10
01
01
11
10
10
01
00
01
11
00
10
10
00
10
00
10
00
00
10
10
00
10
01
10
10
10
01
10
10
10
00
00
11
00
11
10
00
00
00
01
11
10
01
01
10
10
10
01
01
00
10
10
00
10
00
00
10
11
00
00
10
10
11
01
00
11
11
11
10
10
01
10
01
00
00
10
10
00
10
01
01
01
00
00
01
10
00
10
10
10
10
00
11
00
00
00
00
11
00
00
01
10
10
01
00
00
00
01
10
01
10
01
10
11
10
11
00
00
00
10
10
00
00
10
01
00
11
01
00
10
00
10
00
10
11
10
00
11
01
01
10
01
10
01
00
10
10
10
00
01
10
00
00
10
10
10
11
11
10
11
01
10
01
00
00
00
01
11
10
10
00
00
00
10
10
11
01
00
01
10
11
00
10
01
11
10
10
00
01
00
01
00
10
00
01
00
00
10
10
01
10
00
10
10
10
10
10
00
00
11
11
00
00
10
00
00
11
11
01
10
01
10
10
00
00
11
10
00
10
10
10
11
10
01
00
10
10
10
10
11
11
00
10
00
00
10
10
01
01
00
11
10
11
01
00
10
00
00
00
01
10
10
01
00
10
10
11
10
01
10
11
00
11
10
00
11
10
10
00
00
11
11
01
10
00
10
00
11
01
01
10
10
00
00
00
01
11
01
11
10
10
11
11
10
01
00
10
01
11
00
00
10
10
10
10
00
00
11
01
00
00
11
00
01
01
10
10
01
01
00
11
10
01
00
01
10
10
01
10
01
00
01
00
00
10
11
10
11
01
00
00
10
11
00
01
10
01
10
01
00
10
11
01
01
11
00
00
00
00
00
11
10
10
10
00
00
00
11
10
00
11
10
10
10
01
10
10
11
01
10
00
00
10
10
10
10
00
10
10
00
01
00
10
11
00
10
00
00
10
10
00
11
01
11
10
00
00
00
01
00
10
11
00
01
10
01
00
10
10
10
10
11
00
01
00
00
10
10
00
00
10
10
10
11
01
00
00
10
00
00
00
10
01
00
10
11
00
00
00
00
00
10
10
11
11
01
10
00
00
10
10
10
00
00
00
10
11
01
01
00
10
11
01
01
11
10
10
00
10
00
11
10
00
00
00
00
10
10
01
10
00
10
00
00
10
11
01
11
00
10
00
10
00
10
10
01
00
10
11
01
10
00
01
01
11
10
10
10
11
11
01
00
10
01
10
00
10
10
01
00
00
01
10
10
11
00
10
00
11
10
00
10
01
01
11
10
00
11
00
10
11
11
01
11
10
01
00
00
00
10
11
11
00
00
00
11
11
00
00
10
00
01
11
01
11
10
10
00
10
10
00
10
10
10
00
01
00
00
11
11
11
10
11
00
00
01
10
10
01
11
10
10
00
10
11
10
00
00
01
00
00
00
10
10
00
11
11
00
11
11
10
01
10
01
11
10
10
00
10
11
00
00
10
10
10
01
10
11
01
11
00
00
00
00
10
00
01
10
10
00
01
10
10
10
10
00
00
01
10
00
00
01
01
10
11
00
01
00
11
10
10
00
00
00
10
10
10
11
00
00
00
00
11
00
00
10
00
00
10
10
00
00
00
10
00
11
00
00
10
10
01
11
01
01
11
11
10
00
11
10
00
00
10
10
10
11
00
01
01
10
10
10
10
01
10
10
00
10
11
01
10
00
10
11
00
10
11
00
00
10
11
00
11
10
00
11
10
00
00
00
10
01
00
00
10
00
00
01
11
11
11
11
00
11
10
00
01
11
10
00
01
11
11
00
00
10
10
00
00
10
10
00
10
00
01
10
10
10
10
00
11
00
00
10
10
00
00
10
11
11
11
10
01
00
10
10
00
00
10
10
01
10
01
10
10
10
11
00
01
00
00
01
00
01
10
11
00
11
10
00
00
11
11
10
11
10
11
10
11
00
10
00
00
00
11
00
00
01
10
10
10
00
00
10
10
10
00
00
00
00
11
11
01
10
10
11
10
00
00
11
11
01
01
10
01
00
00
10
10
00
10
10
00
10
10
10
10
10
11
10
00
00
00
00
10
00
10
10
10
00
01
00
01
10
11
10
01
01
10
00
00
10
11
00
10
00
11
10
11
10
10
00
00
11
11
11
01
10
00
11
11
11
01
00
11
10
10
00
01
11
01
10
10
00
00
00
11
00
00
00
00
11
00
10
10
01
10
11
00
10
00
10
00
01
11
10
01
00
00
11
00
11
11
10
10
11
10
10
00
00
10
11
00
01
10
00
00
10
00
00
01
10
10
11
10
01
10
11
11
01
01
10
11
00
00
01
01
10
11
00
00
00
01
00
10
10
00
01
10
10
01
00
11
00
01
01
01
00
00
01
10
01
01
10
10
00
11
11
11
00
11
01
10
00
00
11
00
11
11
11
00
00
10
00
00
01
10
10
00
11
01
00
10
01
10
10
10
11
00
00
10
10
01
10
00
10
00
00
11
11
10
11
00
01
00
11
10
00
00
10
10
00
11
10
10
10
01
10
10
00
10
00
11
10
00
11
01
10
10
10
10
00
00
01
01
11
11
10
10
10
01
11
10
00
00
01
00
00
11
10
01
10
10
11
11
00
11
10
00
11
10
00
11
00
10
00
11
10
00
00
00
01
00
10
10
01
10
00
11
11
10
00
10
01
11
10
10
01
11
00
10
01
01
11
10
11
00
00
10
11
01
01
00
00
10
00
10
01
10
10
01
10
01
00
10
11
11
10
00
00
11
00
00
00
10
11
00
10
01
10
10
01
01
10
10
10
01
01
11
01
00
01
01
01
10
10
01
00
11
10
11
10
00
10
00
00
11
00
10
00
10
10
10
00
00
10
10
00
00
10
00
10
10
10
11
10
10
01
10
00
00
00
01
10
01
10
01
10
01
10
10
00
00
00
10
01
10
00
11
00
10
00
00
10
01
00
11
10
01
00
00
01
01
00
10
00
11
11
00
01
10
11
01
10
10
10
01
00
00
11
01
01
00
00
10
00
10
01
00
11
00
11
01
00
11
10
00
00
11
11
11
00
01
10
00
01
11
00
10
10
00
10
11
00
10
01
10
11
11
10
01
10
00
00
11
11
11
11
00
01
11
11
11
00
00
10
10
00
01
01
11
10
01
01
11
10
10
00
00
11
10
00
01
10
11
10
00
00
01
10
01
01
11
10
00
01
10
10
01
00
11
10
10
11
11
00
10
01
11
11
00
00
10
10
01
10
10
00
01
01
00
10
10
01
10
11
10
00
00
10
00
11
10
10
10
00
11
10
10
00
10
00
10
00
10
10
10
00
00
10
10
00
10
10
10
01
10
00
01
00
10
11
11
01
00
01
11
00
01
10
11
11
10
01
00
10
00
01
11
11
10
10
00
00
00
10
01
00
01
10
11
10
10
00
01
11
11
01
00
10
10
10
10
01
00
11
11
00
00
10
00
00
10
10
10
00
10
00
10
11
00
10
00
00
10
00
01
01
10
10
10
10
00
10
10
00
10
00
00
11
10
11
00
01
00
01
00
01
00
10
10
01
01
10
01
00
00
11
10
01
10
00
11
10
00
00
00
10
10
01
11
10
10
10
11
11
11
01
00
10
00
00
00
01
10
10
10
00
00
11
10
00
00
10
00
00
00
10
10
00
01
00
00
10
10
01
00
01
00
01
10
10
10
01
00
11
11
00
10
10
00
00
11
10
00
11
10
10
11
10
10
00
01
10
00
11
11
11
00
00
01
00
01
01
00
11
10
10
01
01
10
00
10
01
11
00
10
10
10
11
10
10
00
00
01
00
00
10
00
11
11
00
01
11
01
01
11
10
00
00
00
00
10
10
00
11
10
00
00
00
00
00
00
10
01
10
10
00
10
10
00
10
00
00
11
10
01
00
00
01
10
11
01
11
10
10
10
11
00
10
10
01
11
11
00
00
11
11
01
11
00
00
11
11
01
11
10
11
01
00
11
00
00
00
11
10
00
01
11
11
00
10
11
10
10
01
00
11
01
00
11
00
11
10
11
00
01
00
11
00
01
10
01
01
01
10
10
00
00
10
10
00
01
10
11
11
00
11
10
10
00
11
10
11
10
10
11
11
11
00
00
00
10
10
00
10
10
00
00
01
00
10
00
00
01
01
10
01
01
10
00
11
01
00
00
11
11
00
10
10
11
00
10
00
00
00
00
10
11
00
10
11
01
00
01
10
00
00
10
11
00
11
10
10
10
00
00
00
00
10
00
00
10
11
01
10
00
10
00
00
00
11
11
00
10
11
10
11
10
00
00
00
10
10
10
00
01
11
10
00
10
11
11
00
10
10
10
10
01
00
01
11
10
00
11
10
01
00
11
01
10
00
00
00
10
00
00
11
11
11
11
00
10
11
10
01
00
00
11
11
01
00
01
00
01
10
10
10
00
00
10
10
00
00
00
01
00
10
10
01
11
01
01
00
11
00
10
11
10
00
00
11
11
00
11
00
11
11
10
10
11
00
01
01
10
00
00
11
10
11
00
10
00
00
11
00
10
11
00
01
11
01
10
00
10
10
01
00
11
10
10
01
11
10
00
00
11
10
10
11
00
11
10
10
10
00
10
00
00
10
10
10
11
00
00
10
10
00
00
10
01
10
10
10
10
00
01
00
11
00
00
01
01
00
01
10
00
10
11
00
01
00
10
10
11
00
00
10
10
10
00
10
10
00
10
11
10
01
00
10
10
10
10
00
10
10
01
00
00
01
10
01
00
10
10
00
00
11
00
00
10
11
00
10
11
11
10
11
00
01
00
10
11
00
10
00
01
10
11
11
11
00
01
10
01
00
10
00
01
00
11
10
01
00
10
01
01
11
01
01
10
00
10
11
11
01
00
00
01
10
10
00
00
10
00
01
10
10
00
00
00
00
00
10
10
01
11
01
01
01
10
10
00
00
10
10
00
01
00
11
11
01
11
11
00
11
01
01
01
00
10
00
01
10
01
00
10
11
10
01
10
10
00
00
10
11
00
00
10
10
00
00
01
00
00
11
10
10
00
10
01
10
10
11
00
10
00
10
01
10
01
10
00
01
00
10
10
10
00
11
10
01
00
00
10
11
00
01
10
11
10
00
00
10
10
00
11
01
00
01
11
00
11
10
11
00
10
01
10
01
01
11
00
00
00
11
01
00
11
10
11
00
00
11
10
01
00
11
00
10
10
01
00
10
10
00
10
10
11
00
00
00
10
10
10
10
11
00
10
10
00
00
10
10
00
11
10
10
11
10
10
10
11
00
00
11
00
10
11
10
00
00
11
10
10
11
00
11
00
10
00
01
10
10
10
10
00
00
11
10
10
10
00
10
10
00
00
00
10
10
11
00
10
10
01
00
00
00
10
10
10
10
00
11
00
10
00
10
10
00
10
00
11
10
01
10
01
10
01
10
00
01
11
10
10
00
00
00
00
01
11
10
00
10
00
10
01
10
00
00
10
00
11
10
11
00
01
10
11
10
00
01
10
01
10
11
11
11
10
10
01
10
01
10
11
00
01
10
00
11
10
01
00
10
00
10
10
10
00
10
10
01
10
11
00
11
10
11
00
01
00
10
00
00
10
10
00
00
01
00
10
00
00
01
10
10
01
00
00
10
11
10
10
10
01
10
10
00
00
11
10
10
10
10
11
10
10
01
00
10
11
11
10
00
01
11
10
11
00
00
11
00
10
10
11
10
10
10
11
00
00
01
11
00
11
10
01
01
00
01
11
10
01
10
10
11
10
01
00
10
11
10
00
10
01
10
01
10
10
10
11
00
01
00
01
10
10
10
00
00
00
10
01
00
11
11
00
11
10
10
11
10
00
11
00
01
00
10
00
00
10
01
11
11
11
01
10
11
01
11
11
01
00
10
10
00
01
01
10
11
00
10
11
00
10
11
00
00
10
10
00
01
10
11
11
11
10
10
00
00
00
00
10
11
00
10
01
10
10
00
00
00
10
00
10
00
00
00
00
10
10
00
10
00
10
10
10
11
11
00
11
11
00
00
11
00
01
10
00
10
10
00
10
10
00
01
10
10
10
00
00
00
10
00
00
00
10
11
00
00
11
10
00
11
10
10
11
11
00
00
10
01
00
10
11
10
11
10
01
10
01
10
10
10
01
10
10
10
00
00
00
00
10
11
00
00
10
11
01
10
10
00
10
10
10
10
00
10
01
10
00
10
00
01
00
01
00
10
00
01
11
10
00
00
01
11
10
01
10
01
01
10
00
00
00
10
00
00
00
11
00
10
11
10
10
10
00
10
00
00
11
10
10
01
01
11
11
00
10
01
11
00
10
00
01
10
10
00
01
01
10
10
10
00
11
01
10
11
11
01
01
00
11
11
10
00
00
11
10
00
00
10
10
11
00
11
00
01
10
00
00
00
10
10
10
00
10
01
00
10
11
10
00
10
00
11
10
01
10
00
01
00
00
10
11
00
01
00
00
00
10
00
10
10
00
11
00
00
00
10
10
10
10
01
10
10
00
11
10
00
00
00
10
10
10
00
10
00
11
01
11
00
00
00
00
00
10
11
00
10
01
10
00
00
11
10
11
00
00
01
00
11
10
10
00
00
10
11
00
01
10
00
11
10
10
10
10
00
10
01
10
00
10
01
11
00
01
00
00
10
00
10
10
11
11
10
00
00
10
00
00
00
01
10
11
10
11
01
11
10
01
10
10
01
00
00
11
00
01
00
11
00
01
11
11
11
01
00
10
10
01
10
00
01
10
10
11
01
00
01
01
11
10
01
10
10
00
10
00
01
11
11
10
00
10
00
10
00
11
10
00
01
00
11
00
00
00
10
10
01
11
10
00
00
10
00
01
10
01
11
00
10
00
00
10
10
11
10
00
00
10
10
01
00
11
10
10
10
00
01
00
11
01
11
10
01
10
11
00
00
00
11
01
01
11
01
00
10
10
00
10
10
01
00
11
10
00
11
10
01
10
11
10
10
11
10
01
00
00
01
10
01
00
01
10
11
10
01
10
11
00
10
10
00
00
10
10
00
10
10
01
11
10
10
01
11
10
00
10
00
00
01
10
10
00
00
00
00
10
01
10
10
11
11
00
11
10
00
10
00
00
00
00
10
10
11
11
00
00
10
10
00
00
11
10
10
00
01
01
10
10
10
10
11
00
00
00
00
10
00
01
10
00
00
10
10
10
00
00
01
10
00
11
10
00
01
10
00
01
01
00
10
10
01
01
00
00
10
00
00
11
00
00
10
00
11
10
10
01
01
00
11
11
11
11
00
00
00
10
11
00
10
10
00
01
00
10
10
00
01
01
11
00
00
01
01
01
11
00
10
00
11
11
10
00
00
10
10
00
00
11
00
11
10
00
01
00
11
00
01
00
10
10
11
10
00
01
10
11
00
10
10
10
00
01
00
01
00
10
10
00
00
00
01
00
10
00
00
01
00
11
00
11
10
11
11
10
01
00
01
11
01
10
00
11
10
00
00
01
01
00
10
11
11
00
00
11
00
01
11
10
00
00
10
01
11
10
00
10
10
00
11
00
01
10
00
11
11
10
10
10
10
10
10
01
01
10
10
01
11
11
10
11
00
11
00
00
10
10
01
00
11
10
00
10
01
10
00
10
10
01
01
00
00
00
00
10
00
10
00
00
00
10
11
00
00
10
10
00
00
10
10
00
11
01
10
11
10
00
11
11
00
00
10
10
01
00
01
10
10
01
00
01
10
01
01
11
10
00
11
10
10
00
10
10
10
00
00
01
10
00
10
11
00
10
10
01
01
10
01
10
00
01
10
11
00
10
10
11
00
01
10
00
00
10
00
10
10
01
00
10
10
00
10
11
11
00
01
00
11
10
10
10
00
00
00
10
10
01
10
11
10
01
00
00
00
11
01
01
11
01
01
11
00
10
10
00
00
00
10
10
10
00
10
10
01
01
11
01
00
11
00
00
00
10
10
01
10
10
00
01
00
10
10
00
11
00
01
00
01
10
00
11
10
11
00
00
11
10
01
00
10
10
00
01
10
11
00
01
11
01
11
10
10
00
10
11
11
00
00
11
10
11
00
10
00
00
11
00
01
10
00
10
10
01
00
01
10
10
00
10
10
01
10
10
01
00
10
10
11
00
00
11
10
00
10
10
10
11
10
00
01
00
00
11
10
00
10
00
01
01
10
00
01
10
00
00
10
00
10
10
01
01
10
00
00
10
01
00
11
10
00
11
10
01
00
00
11
11
10
10
10
00
01
10
00
11
10
11
11
11
00
10
00
10
10
00
11
10
01
00
11
10
10
11
10
11
10
00
00
10
00
00
01
10
00
00
11
00
11
11
10
10
10
10
01
00
10
10
00
00
00
10
10
00
11
01
10
11
10
00
00
11
10
00
01
11
10
10
11
01
01
10
10
00
00
00
10
00
01
11
01
00
10
10
00
01
10
11
00
01
00
00
11
00
10
10
00
10
01
00
01
00
11
10
11
10
01
01
11
01
10
10
00
10
11
00
10
00
00
10
00
10
10
00
01
00
00
11
00
11
10
00
10
01
00
10
00
01
10
10
00
10
10
01
00
00
00
01
10
00
10
10
10
10
00
10
11
01
00
11
10
00
10
10
00
11
10
01
00
00
10
10
01
10
00
10
11
11
10
00
01
11
01
00
00
10
00
00
10
10
00
00
00
00
10
11
00
10
10
10
11
00
10
01
01
10
11
00
11
00
10
11
00
10
01
01
10
11
00
10
10
00
10
11
01
01
10
10
01
10
00
00
10
10
11
01
00
00
10
00
01
11
10
11
10
01
11
10
10
01
01
10
10
00
01
01
00
01
10
00
01
10
11
10
10
01
10
00
01
10
00
00
00
10
11
11
11
00
00
00
01
10
11
10
01
01
10
10
01
01
01
11
11
00
01
11
11
00
10
00
11
11
00
10
10
10
10
00
10
01
10
00
00
11
01
00
10
11
00
00
01
10
01
01
00
11
10
10
01
00
00
10
10
00
11
10
10
01
00
10
00
00
00
10
00
01
10
10
10
11
00
01
11
10
01
10
10
10
00
00
10
11
10
00
10
00
10
01
00
01
01
00
10
10
00
00
10
11
11
10
01
00
01
01
00
01
10
01
00
11
00
10
10
11
11
00
01
11
10
00
11
00
01
00
10
00
11
11
10
11
01
11
01
01
10
00
00
11
10
01
00
11
10
01
11
10
01
01
11
10
00
00
10
10
00
01
11
01
00
10
10
00
00
10
10
01
00
10
11
10
10
00
10
01
10
10
01
01
00
10
10
01
00
10
01
10
10
11
01
01
10
00
10
10
00
10
11
00
00
11
01
00
00
00
11
10
01
00
00
01
11
10
10
10
11
11
10
00
01
00
11
10
01
00
10
00
11
10
01
00
10
01
10
10
10
00
01
00
01
10
00
00
11
01
11
11
00
00
10
01
00
00
10
10
10
00
00
10
10
01
00
00
10
10
10
10
11
00
10
00
10
11
01
10
00
00
10
01
00
00
10
10
10
00
00
10
10
00
00
01
00
10
00
01
10
11
00
11
11
00
10
11
10
01
11
00
00
11
10
00
01
10
10
00
10
11
00
00
10
10
00
10
10
00
00
10
11
00
00
11
11
00
11
01
11
00
00
01
10
01
00
10
10
10
10
01
00
10
11
00
10
00
11
10
10
00
01
00
00
11
10
10
00
00
00
10
10
10
00
10
10
10
11
11
01
00
10
00
01
00
01
10
10
01
10
10
10
10
01
01
00
00
10
10
00
11
10
00
01
01
00
11
00
00
00
10
11
00
10
10
10
10
10
01
00
00
11
11
01
00
10
00
10
01
10
10
00
11
11
01
11
10
00
00
10
10
00
01
00
10
01
10
10
00
10
11
00
10
00
10
11
10
10
11
11
00
00
10
10
00
00
10
00
01
01
11
11
00
10
00
10
10
10
00
00
11
00
11
10
00
00
10
10
00
01
10
10
00
00
10
01
01
00
00
11
10
10
10
11
00
11
11
00
00
00
00
11
00
00
10
00
10
10
11
10
10
10
00
10
00
00
10
10
01
00
01
00
00
01
10
00
00
10
10
10
10
01
01
00
11
10
11
10
11
00
00
00
10
11
00
01
11
10
00
10
00
10
00
00
10
01
10
10
01
01
10
11
10
00
11
10
01
10
01
00
11
10
01
00
01
11
10
01
10
01
10
00
10
10
00
01
00
00
01
11
01
00
00
10
10
00
11
01
00
01
11
01
00
00
10
10
00
11
01
00
00
00
10
10
01
01
10
01
01
00
00
11
10
10
00
00
10
01
11
01
00
10
10
00
11
00
00
11
00
00
10
10
10
10
10
00
10
10
11
00
11
00
11
00
00
11
10
10
10
10
00
01
10
10
10
10
10
00
10
01
00
10
01
10
10
10
01
01
00
00
00
11
00
01
10
00
00
10
00
00
10
10
01
10
11
10
01
10
10
00
10
00
10
01
00
11
01
10
11
10
10
10
11
00
10
01
11
00
00
00
01
10
00
00
10
11
01
10
10
00
00
00
10
10
01
10
00
11
10
00
01
10
00
00
00
00
10
00
01
10
10
11
00
11
11
00
10
10
10
00
01
10
11
11
10
01
00
10
01
01
11
01
11
00
00
01
11
10
01
00
01
00
10
11
00
01
11
01
11
11
11
10
00
00
01
11
10
10
00
00
11
10
10
00
00
01
11
00
00
00
11
11
00
01
10
10
11
00
00
00
11
11
01
11
11
01
10
00
10
10
00
00
11
11
00
01
11
01
01
11
01
00
11
01
10
11
10
01
01
00
00
11
00
11
00
00
10
10
10
01
01
10
10
00
01
11
01
00
10
11
00
00
10
10
00
11
00
01
10
11
10
10
11
00
00
10
00
01
11
10
11
10
10
00
00
00
00
10
10
11
00
00
01
10
11
10
10
00
11
00
00
11
10
10
11
00
10
10
00
00
10
10
10
11
10
10
10
00
10
11
01
01
10
11
00
01
10
00
00
00
00
10
01
10
00
00
00
11
00
00
10
11
00
00
10
00
01
00
01
11
11
00
00
10
11
11
00
00
10
00
10
10
10
10
00
00
11
10
11
10
00
10
10
11
00
01
10
00
00
10
01
01
10
10
00
10
10
10
00
10
01
01
11
01
00
00
00
00
10
00
00
10
11
00
11
10
00
11
10
01
00
10
10
01
00
00
01
11
10
11
01
00
11
01
10
10
00
01
00
10
00
00
11
00
10
11
10
10
11
00
01
00
10
11
11
01
00
11
10
00
11
10
00
00
11
11
11
10
10
11
01
00
00
10
10
00
00
00
00
01
00
00
11
10
10
10
00
00
10
10
10
11
00
10
01
00
00
00
00
00
01
11
10
10
00
00
10
11
10
11
11
01
00
00
00
01
00
10
10
00
00
00
00
10
10
00
10
11
00
11
10
00
10
10
01
00
00
11
00
00
00
11
10
00
00
00
01
00
00
10
00
00
11
00
00
01
10
10
01
10
11
00
01
00
00
10
01
00
10
00
01
01
01
10
11
10
10
01
00
11
10
11
00
00
10
11
10
01
11
10
00
00
10
00
10
10
00
00
00
00
10
00
11
01
11
10
00
11
11
01
01
10
00
01
00
11
00
11
10
00
01
01
10
11
00
01
11
01
00
00
00
10
11
00
10
10
10
11
10
11
01
11
11
00
00
01
00
10
00
00
00
00
00
11
11
01
10
00
00
10
10
00
10
10
10
00
11
10
11
11
01
01
00
10
10
00
00
10
10
00
00
10
10
11
11
00
00
10
00
01
11
10
01
00
01
01
10
00
01
10
10
00
00
10
00
01
01
10
10
10
10
00
00
11
00
10
00
11
00
00
10
10
11
01
11
00
00
00
10
00
01
10
11
10
10
10
00
10
00
10
11
11
00
00
11
00
10
11
11
00
10
00
00
00
10
10
10
10
01
01
00
10
00
10
10
10
00
00
00
10
00
01
10
01
00
10
00
00
00
11
00
00
00
11
10
10
01
00
01
00
10
10
10
00
00
00
10
01
00
00
01
10
11
00
00
10
00
01
00
11
10
00
01
11
11
10
10
00
10
00
00
00
10
11
10
00
00
10
10
00
10
11
10
10
00
00
10
10
00
00
10
01
10
00
00
00
10
10
00
11
11
00
10
10
01
00
00
01
11
10
10
00
01
01
11
00
10
10
00
10
11
00
01
10
00
10
01
01
10
00
01
10
10
00
11
01
00
10
10
01
10
00
10
00
00
00
01
01
00
00
10
10
11
10
00
00
11
11
11
00
11
10
11
00
10
01
00
10
11
11
01
11
01
01
00
10
00
11
10
00
11
00
00
11
10
00
10
01
10
10
10
01
00
11
10
01
01
10
10
10
00
10
10
00
00
11
01
00
01
11
01
10
11
10
00
00
11
01
01
10
10
11
00
00
10
10
00
10
10
01
10
00
01
11
00
10
10
00
10
11
00
10
00
10
01
10
10
01
10
10
11
01
00
10
10
10
10
10
10
00
01
10
00
00
00
00
11
11
00
01
10
01
01
00
10
00
00
11
10
10
10
00
10
11
10
01
00
00
00
11
10
00
00
10
10
01
11
00
01
10
11
00
11
11
11
00
00
10
11
10
01
00
00
00
01
10
00
00
10
00
10
11
01
10
10
00
00
00
00
00
10
10
00
11
11
00
10
00
01
01
01
10
10
00
11
00
10
00
00
00
10
11
00
01
10
01
11
10
00
00
11
10
01
11
00
00
11
00
00
10
11
01
00
11
00
11
11
01
10
01
00
10
10
01
00
10
10
01
10
01
00
10
11
10
10
10
01
00
10
10
10
11
00
11
01
11
10
00
00
10
10
01
00
10
10
11
00
10
01
00
00
11
10
11
10
10
10
10
10
00
00
10
01
10
10
10
00
10
10
01
10
11
00
00
11
10
00
01
00
01
00
11
10
00
10
01
00
11
00
01
10
10
10
01
10
10
11
01
01
10
10
11
00
01
01
00
10
00
00
00
00
10
10
10
00
11
00
10
00
00
10
10
11
00
10
01
01
10
00
10
01
10
11
00
10
11
01
00
10
10
00
10
01
01
11
00
11
00
10
11
00
01
10
10
01
01
10
00
10
11
01
10
11
11
10
00
00
00
11
11
01
10
10
01
00
10
10
01
00
00
10
10
00
01
11
00
10
01
01
11
10
10
00
01
01
00
10
10
10
10
10
00
10
11
10
00
00
10
01
10
01
11
10
00
00
11
10
10
01
00
11
10
00
10
01
01
10
11
00
10
01
00
10
00
00
10
10
10
11
10
00
01
01
10
01
00
00
10
10
00
00
00
10
01
10
10
10
00
00
10
01
00
10
10
00
01
01
11
00
00
00
00
00
01
11
11
00
01
10
00
10
11
00
00
10
11
11
00
10
00
10
11
00
01
01
11
01
10
10
10
10
00
11
00
00
10
11
00
10
00
00
10
11
10
10
00
00
00
01
10
10
10
00
00
10
00
00
00
10
10
00
00
11
00
00
00
10
10
11
00
01
10
00
00
10
00
00
00
11
10
11
10
01
01
11
00
01
10
00
00
10
00
10
10
01
10
11
00
00
10
10
10
00
00
10
10
00
10
00
10
11
11
10
11
00
10
00
10
11
10
11
01
01
11
11
00
01
00
11
10
00
00
10
10
01
11
10
11
11
10
10
00
00
10
10
00
00
11
11
10
10
01
01
01
10
11
00
00
01
10
11
01
00
11
10
10
10
10
01
01
10
11
00
01
10
10
01
11
10
00
11
11
11
10
00
00
10
00
00
00
10
10
10
11
00
00
00
10
00
10
10
10
01
10
00
10
00
00
00
10
10
10
00
10
11
00
01
10
11
00
11
01
10
11
00
11
00
00
11
11
01
01
10
00
01
11
01
10
10
00
00
01
10
10
10
00
10
10
11
00
11
00
00
10
11
10
01
11
11
10
10
11
10
01
00
00
01
00
11
11
00
01
10
00
00
00
11
00
10
01
00
10
00
10
10
01
00
00
10
10
00
01
10
10
10
01
10
10
00
11
00
00
10
11
00
00
00
10
00
00
00
11
01
00
10
10
00
11
10
10
00
11
10
00
00
00
01
11
00
10
01
01
11
10
11
10
10
00
01
11
11
00
01
11
10
10
10
00
00
10
10
10
01
11
01
11
01
00
01
01
00
00
11
11
00
01
10
11
10
00
10
00
01
11
01
00
10
01
00
10
11
00
00
10
11
10
10
00
10
10
11
10
00
10
10
00
01
00
11
00
10
00
00
01
00
00
10
00
10
11
00
01
11
00
10
01
10
10
10
00
11
10
11
10
00
10
00
10
00
11
10
00
01
10
00
01
00
00
11
00
10
01
11
01
11
10
10
00
00
11
11
10
00
00
00
11
10
10
00
00
10
11
00
00
11
10
00
11
00
00
11
11
10
00
00
11
10
00
01
01
11
10
01
00
00
10
11
11
10
01
01
10
11
10
01
11
10
01
00
00
10
10
00
01
10
11
10
00
10
11
11
01
10
11
10
00
00
10
01
01
10
10
01
11
01
01
10
00
11
10
10
00
00
10
11
00
00
00
10
00
00
01
10
10
10
00
00
10
10
00
00
00
00
10
01
10
00
00
00
00
10
00
00
00
00
10
10
10
00
11
11
10
10
10
10
10
01
10
01
10
00
10
00
11
11
10
01
00
11
10
11
00
10
11
01
01
11
00
00
10
10
10
00
01
10
10
00
01
10
00
11
00
01
00
00
10
00
01
11
10
01
10
01
11
10
10
00
10
00
10
00
01
10
01
10
00
00
10
00
00
01
10
10
11
11
00
10
00
01
10
00
10
01
01
00
11
10
11
00
10
00
10
00
01
10
11
10
11
11
00
10
10
10
10
10
00
10
01
01
00
00
10
00
11
11
00
10
00
00
10
00
01
10
00
10
00
01
10
00
01
01
10
11
10
10
11
00
00
01
10
11
00
10
11
10
00
00
01
10
10
11
00
10
00
00
00
00
10
00
00
01
10
10
10
11
00
00
00
01
11
01
11
00
00
10
10
01
10
10
01
10
01
10
00
00
10
10
00
01
11
00
00
11
10
00
10
11
00
10
00
00
11
10
01
11
00
10
01
10
10
01
00
00
01
00
01
01
11
01
10
00
00
10
11
00
10
10
01
01
01
00
00
10
10
00
11
10
10
10
10
01
01
11
01
00
00
00
11
01
01
10
10
10
01
01
01
10
10
00
00
10
11
00
00
11
00
01
00
10
01
00
10
10
10
00
11
00
11
00
11
00
01
10
10
10
00
11
10
00
10
10
10
10
10
00
01
00
01
00
11
11
00
11
11
00
10
10
00
00
00
10
11
10
01
00
01
01
01
01
11
10
10
00
00
01
10
11
01
11
10
11
00
11
01
11
00
00
10
00
01
11
10
01
10
01
11
00
10
01
00
10
01
00
11
11
11
10
10
00
10
00
00
11
10
11
10
10
00
11
10
00
00
10
10
01
11
01
11
11
10
10
11
10
10
00
00
10
00
10
00
00
00
10
10
11
00
10
00
10
11
00
00
11
10
00
01
10
00
00
00
10
11
11
00
00
11
00
00
11
10
01
10
10
00
11
10
10
10
01
00
10
11
00
00
00
10
10
01
11
10
01
01
01
01
00
01
10
01
00
10
10
00
01
10
11
11
01
11
11
10
10
00
01
00
11
10
01
01
10
11
00
10
11
11
10
00
01
10
10
10
00
01
01
00
10
00
01
00
10
00
11
10
11
11
00
00
10
00
11
10
01
10
01
10
01
01
10
10
01
10
00
00
10
00
10
11
10
10
01
00
00
11
10
00
10
10
00
00
10
10
10
10
00
10
10
00
00
10
11
01
00
10
00
10
11
10
00
00
11
10
11
11
10
00
00
00
00
01
11
00
00
10
00
11
00
00
10
01
11
00
00
01
11
11
00
01
11
00
01
01
00
01
00
10
00
11
10
00
10
10
01
00
10
00
00
10
10
01
00
10
11
01
01
01
00
01
00
01
01
10
10
01
00
11
10
01
00
00
00
10
11
01
10
10
00
01
00
00
11
11
00
00
01
10
00
10
10
00
00
00
00
00
10
10
10
11
00
00
01
10
10
01
01
10
00
00
10
10
00
10
10
11
00
10
10
10
10
00
01
10
11
01
00
11
10
10
00
10
01
10
00
01
01
11
11
10
10
00
00
10
00
00
11
10
11
01
00
10
00
10
00
11
11
11
00
00
00
01
10
10
00
00
10
00
10
10
00
01
01
11
01
10
11
11
00
01
10
11
01
11
00
00
10
10
10
10
01
11
00
10
00
10
10
11
01
01
00
10
00
01
00
00
00
10
11
00
01
00
11
11
11
11
10
11
01
10
10
01
00
11
11
11
11
01
00
10
10
00
00
01
10
10
10
10
11
10
10
00
00
10
01
01
01
11
01
00
10
00
10
10
01
01
10
10
01
00
00
11
10
11
11
11
10
01
10
11
00
00
00
00
10
10
10
00
00
01
10
01
00
00
10
01
00
10
00
00
00
11
00
00
00
10
00
00
00
01
10
10
00
00
10
11
00
10
00
10
00
11
00
01
01
10
01
10
11
11
10
00
00
10
01
00
10
00
00
11
10
00
10
11
11
10
11
01
00
00
00
10
10
11
00
00
00
10
10
10
10
01
10
01
01
10
01
01
00
11
00
10
11
00
00
00
10
01
10
01
10
00
00
01
11
11
01
01
10
00
10
00
11
00
00
01
10
00
00
10
11
10
11
10
10
00
10
10
00
00
10
10
10
10
01
10
10
00
10
00
01
00
10
00
00
00
10
00
10
00
11
10
00
01
00
00
00
00
00
01
10
10
00
11
00
00
01
10
11
11
00
01
00
10
00
11
11
00
10
10
10
10
00
01
10
01
00
01
00
00
00
01
10
10
01
11
00
10
10
00
00
11
01
01
11
11
11
11
00
00
10
01
00
10
10
00
01
11
10
10
01
00
00
10
11
00
01
10
00
00
00
10
00
10
01
00
10
00
00
10
10
00
00
01
10
10
11
00
00
11
10
10
01
00
01
00
10
01
00
01
10
01
00
11
11
01
00
10
00
00
10
10
10
01
01
00
01
11
10
00
00
10
01
00
10
11
10
10
00
01
11
00
11
01
11
00
00
10
10
00
00
11
11
11
10
00
00
00
11
10
00
00
00
00
10
00
01
00
11
10
01
10
00
01
00
11
00
11
11
00
10
10
10
11
00
01
10
00
00
11
00
11
00
00
00
10
10
01
10
11
10
00
00
00
01
01
00
10
00
10
10
00
00
10
10
00
10
00
01
00
00
00
11
10
01
10
00
10
10
10
10
11
11
11
01
11
00
00
00
10
11
00
10
00
11
11
01
10
01
10
11
00
01
10
11
10
00
00
10
01
00
00
11
00
00
00
00
00
10
00
00
10
01
00
11
00
11
10
00
00
01
01
10
10
10
11
01
01
10
00
10
10
10
00
00
10
11
10
00
01
00
01
01
11
01
00
11
10
11
00
11
00
00
10
10
11
10
00
00
00
11
01
10
10
11
00
10
00
10
10
10
10
11
00
10
00
10
01
11
00
01
10
11
00
01
10
01
00
11
10
01
01
10
00
00
00
11
00
00
10
10
10
00
11
11
10
01
10
01
00
01
01
10
10
00
01
10
10
11
10
11
01
00
10
00
00
01
10
01
10
11
00
00
10
10
01
00
00
10
10
11
01
00
10
00
11
10
10
00
00
11
00
00
10
10
01
10
01
10
10
00
11
11
00
01
10
10
01
01
10
00
00
10
11
11
10
10
10
10
00
11
01
01
10
01
00
11
00
01
10
10
01
10
00
01
00
10
00
00
10
01
00
11
11
01
00
10
10
11
00
01
00
10
10
01
11
01
00
00
10
10
10
00
01
11
00
01
10
10
00
10
11
00
00
11
00
00
00
11
10
10
11
10
11
01
11
01
00
10
10
00
00
10
00
01
10
10
10
01
00
11
01
01
00
11
10
00
10
10
01
10
01
00
10
01
10
00
01
10
01
10
10
00
01
01
11
01
00
10
10
10
11
11
00
01
11
10
00
00
10
00
00
10
00
00
01
10
10
00
00
10
00
11
00
01
00
00
11
00
00
10
11
00
10
10
10
00
00
11
00
11
10
00
00
10
10
11
11
00
00
11
00
00
01
10
10
01
00
11
10
11
00
00
11
11
01
00
10
00
00
10
11
10
10
01
00
01
11
11
01
11
11
01
11
11
00
00
10
10
00
10
10
01
10
10
10
00
10
10
00
00
10
10
00
00
00
10
10
01
00
10
11
01
00
00
10
11
11
10
00
10
10
01
10
10
01
01
11
00
11
10
11
01
10
11
01
01
10
00
00
00
11
10
10
00
01
10
01
10
00
00
01
01
11
00
00
00
10
10
10
10
11
00
11
10
01
00
00
11
00
11
11
01
01
10
00
00
01
11
10
00
11
01
10
00
00
10
10
10
10
00
11
10
01
11
10
11
10
00
11
01
00
00
01
10
11
00
00
01
00
00
10
10
01
00
11
11
10
10
00
10
11
10
00
00
01
00
00
11
11
10
00
01
11
10
11
00
01
11
11
01
00
10
10
10
11
11
00
10
10
00
11
11
01
01
11
10
01
10
01
00
01
11
10
10
00
00
10
10
00
01
11
10
10
11
11
00
10
01
10
00
00
01
10
10
10
10
00
01
00
01
11
10
00
10
01
00
01
11
01
00
10
01
10
00
10
01
10
00
00
10
10
00
10
01
01
11
10
00
01
00
10
01
00
00
10
10
10
00
00
11
10
10
01
10
00
10
10
00
00
00
10
10
00
10
11
11
00
00
00
11
00
10
00
00
10
10
10
00
00
10
10
00
00
10
10
10
00
01
10
11
00
10
00
00
10
10
10
00
10
00
10
10
10
10
00
00
00
11
00
00
11
00
00
10
10
10
10
00
01
10
00
10
10
00
00
10
00
10
11
10
10
00
00
00
01
01
11
10
10
00
11
01
10
10
10
10
00
01
00
10
10
01
10
10
10
00
10
10
10
00
00
10
00
10
10
00
10
00
10
01
10
11
01
00
10
10
00
11
10
00
01
10
00
11
00
10
10
10
00
10
10
10
00
10
10
10
00
01
10
01
01
00
00
11
10
11
01
01
10
10
10
10
01
00
11
11
00
10
00
01
10
11
00
01
01
11
00
00
10
10
00
10
11
10
00
00
11
10
10
10
10
11
00
10
01
00
11
10
10
10
00
01
11
10
00
11
10
00
11
11
10
00
00
00
10
11
01
11
10
11
11
01
11
10
10
01
10
11
10
00
00
10
01
00
01
10
00
10
01
10
10
10
00
00
10
00
00
01
11
10
10
00
00
00
10
11
10
00
00
10
11
00
01
10
01
10
11
01
00
11
11
01
11
10
00
10
10
00
01
10
10
00
10
00
11
11
01
00
10
10
00
10
10
10
10
01
00
00
10
11
00
01
10
11
00
00
00
01
10
10
11
01
11
11
00
00
00
01
10
10
10
01
00
00
10
00
00
01
00
00
10
10
10
10
10
00
01
10
10
10
11
10
11
11
00
00
10
11
01
10
11
11
00
00
11
00
00
10
11
00
01
00
10
10
10
10
00
10
11
00
00
11
10
01
11
11
01
11
01
01
00
10
10
00
10
00
00
11
10
11
10
00
00
10
11
01
11
10
11
00
01
00
00
01
11
10
10
11
01
01
00
11
10
10
00
00
11
11
10
10
00
01
10
00
11
10
10
01
10
11
00
10
11
00
10
10
10
01
10
10
10
00
10
10
10
11
11
11
00
00
00
10
10
11
10
01
00
11
00
00
10
10
11
10
10
00
10
00
10
00
01
01
00
00
00
10
00
01
10
10
10
01
00
00
00
01
00
01
11
11
01
01
00
01
01
11
00
00
11
00
01
11
00
10
00
10
10
00
00
00
10
10
01
00
00
01
00
01
00
00
10
00
00
11
00
01
01
11
10
10
10
00
10
10
00
11
00
00
10
00
00
00
10
10
10
00
01
00
10
01
01
10
01
00
10
00
00
00
10
10
00
00
01
10
00
00
10
00
00
00
11
11
00
01
00
11
01
00
11
01
11
11
00
00
00
00
10
00
00
11
11
10
10
10
00
10
10
01
00
10
10
00
10
11
10
00
10
00
10
00
10
01
01
11
10
00
11
00
10
01
11
10
11
10
11
00
00
01
10
00
00
00
10
10
01
00
10
00
00
00
10
11
00
11
00
10
11
11
11
00
00
10
00
00
10
10
01
01
00
00
10
10
00
10
00
01
10
00
10
11
10
00
00
10
01
10
10
10
00
00
10
10
00
10
10
00
01
00
01
10
10
00
00
10
01
11
11
10
00
11
00
00
11
00
00
01
11
00
00
01
10
11
10
00
01
10
00
01
00
10
11
00
10
10
10
11
10
00
11
10
11
00
00
10
10
00
11
10
00
10
01
10
11
01
10
10
00
01
01
01
11
01
10
10
10
00
10
11
00
01
10
00
10
11
00
00
11
11
11
10
00
10
10
00
01
11
01
10
00
11
10
01
01
00
10
10
00
11
01
01
10
00
10
10
00
00
00
10
10
10
10
11
10
01
10
01
01
10
01
11
00
00
10
10
10
11
10
01
11
00
11
01
00
01
10
11
01
00
10
01
01
11
10
00
10
10
10
00
00
11
10
01
11
00
10
10
10
10
01
00
11
10
11
01
00
10
10
01
10
10
00
00
10
10
00
00
11
11
10
10
00
01
01
10
10
01
11
10
01
10
00
00
00
11
11
10
01
00
11
00
00
00
10
00
00
10
01
00
10
11
00
10
11
00
00
10
10
10
11
11
11
00
01
11
01
00
00
11
11
01
00
00
10
00
01
00
01
10
00
00
01
00
11
10
00
00
10
01
00
00
10
10
01
11
01
00
10
11
11
01
10
10
00
00
00
00
00
10
10
00
10
00
00
00
10
01
10
10
10
01
10
11
10
10
10
01
10
11
10
00
00
11
10
00
00
10
10
00
00
00
10
11
10
11
00
10
10
01
10
00
10
10
00
00
01
11
01
01
00
00
11
00
00
10
10
00
10
00
00
10
10
10
01
00
10
01
01
10
11
00
10
00
00
10
10
10
11
00
11
11
00
00
11
10
00
00
11
11
01
01
11
11
01
01
11
11
01
01
10
11
00
00
10
00
00
10
01
11
00
01
10
00
10
10
11
00
01
10
11
00
10
11
01
00
00
11
11
01
11
11
11
00
00
00
01
01
10
11
00
01
10
00
10
00
01
10
10
01
10
10
00
10
00
10
01
11
01
10
11
11
00
00
01
01
11
10
01
01
11
00
11
10
11
01
00
10
10
00
11
00
00
10
10
00
11
10
00
10
10
10
11
01
01
10
00
11
10
10
10
00
00
10
01
11
01
10
10
11
01
00
00
01
10
11
01
00
00
10
10
00
01
01
11
10
10
00
10
00
00
10
10
01
01
11
01
00
01
00
11
11
01
00
10
10
00
00
00
10
00
01
11
10
10
11
01
00
01
10
00
01
10
11
10
00
11
00
10
10
00
01
10
00
00
01
11
11
11
00
10
11
10
10
10
00
11
01
00
11
11
01
11
10
00
10
00
10
10
00
00
10
00
10
11
00
10
10
10
10
10
01
11
10
10
01
10
00
10
00
00
10
00
00
11
11
11
00
00
10
10
00
11
10
01
01
01
01
10
00
10
10
00
10
10
11
00
11
01
00
00
00
01
10
11
10
00
10
00
00
11
00
10
11
10
11
01
10
10
11
11
00
11
10
11
00
10
01
00
10
01
11
01
00
01
11
01
00
10
00
10
00
00
10
10
11
00
00
10
00
11
01
11
10
00
00
01
00
10
00
01
01
10
11
10
01
10
10
01
00
10
11
00
00
01
10
11
10
01
10
11
00
10
10
00
00
10
01
00
10
10
11
00
11
11
11
01
10
00
10
00
00
10
10
01
00
10
10
00
01
10
10
10
10
00
11
11
01
01
11
01
00
11
11
10
00
00
10
10
00
01
11
10
11
00
10
10
00
11
00
10
10
10
00
00
00
10
10
00
11
00
10
10
11
10
11
01
10
00
00
00
01
10
11
11
00
11
10
10
00
00
10
10
00
01
00
11
10
11
10
00
10
10
01
00
00
01
10
11
10
00
11
11
00
11
00
11
00
11
10
00
00
10
10
10
00
01
00
00
01
10
10
11
00
10
01
10
10
11
11
00
11
00
10
11
00
10
00
00
10
00
01
01
10
11
00
10
00
01
11
11
00
01
11
01
00
10
00
00
00
00
10
10
01
10
10
00
10
01
10
10
10
11
00
11
10
00
00
11
10
10
11
01
00
10
10
00
10
10
10
10
00
00
10
11
10
10
10
10
00
00
01
10
10
10
10
00
11
10
11
00
00
00
01
10
11
00
01
00
10
01
10
00
11
11
11
00
00
11
10
01
01
11
10
00
00
00
00
00
10
00
10
10
00
10
10
10
00
11
01
01
11
11
00
01
01
11
11
01
10
11
00
00
11
00
01
10
00
01
00
00
11
10
01
00
10
00
10
01
00
10
10
11
11
00
01
11
10
01
10
00
00
10
11
00
00
10
00
01
10
10
10
10
01
10
01
10
10
01
00
10
00
11
10
10
10
00
00
10
00
00
00
10
01
10
00
01
11
01
11
00
00
00
10
10
10
10
00
10
11
10
00
00
00
10
10
00
10
10
00
10
10
01
10
00
11
10
10
10
00
00
10
00
00
01
10
10
01
10
00
10
00
01
00
10
00
10
11
01
01
10
10
01
00
00
00
11
11
01
11
00
10
11
01
11
01
11
11
10
11
00
00
00
01
10
10
00
00
00
11
10
10
00
01
00
10
10
00
10
10
11
00
11
10
00
10
10
00
01
01
11
10
11
00
00
01
00
11
10
01
00
00
01
01
00
10
00
00
11
00
11
11
10
01
10
01
01
00
01
10
01
00
10
10
01
00
11
00
01
00
11
10
10
00
00
10
10
10
00
10
00
11
10
00
01
10
01
00
00
11
10
10
00
10
10
01
01
10
10
01
00
10
11
00
00
00
10
10
00
01
00
01
01
00
10
10
01
00
00
00
11
00
10
00
00
11
11
11
11
01
00
00
00
00
10
11
01
00
01
01
10
10
01
00
00
11
10
10
00
00
10
10
10
00
01
11
00
10
11
00
10
10
00
10
00
10
11
10
01
00
10
00
10
10
01
10
10
01
11
01
00
11
00
10
00
00
10
11
11
01
00
11
11
10
00
11
10
00
10
10
00
10
10
11
11
00
10
10
00
00
10
11
10
01
10
00
00
00
10
00
10
10
00
10
10
11
00
10
11
00
00
11
10
11
00
01
10
00
00
11
11
00
11
10
11
10
01
00
10
00
00
11
10
11
00
11
00
11
00
10
10
00
01
10
01
01
00
10
10
10
10
10
00
01
10
10
10
00
01
10
11
00
10
00
01
00
00
00
10
10
00
10
10
00
10
00
11
00
10
11
10
01
00
11
10
11
00
11
00
00
00
00
10
11
00
00
11
01
00
11
10
10
10
10
00
00
10
10
00
10
00
10
00
10
11
10
10
11
01
00
10
00
01
00
10
00
01
10
00
01
11
01
01
10
10
11
00
01
00
00
11
10
01
01
00
10
01
10
00
11
10
10
10
00
01
01
10
10
10
01
00
11
00
01
11
00
00
10
00
11
00
00
00
01
11
10
10
10
00
00
10
00
10
00
10
10
10
01
11
10
00
00
00
11
10
10
00
11
01
01
10
00
11
10
00
00
11
11
10
00
10
10
11
00
01
00
01
10
01
11
11
10
10
00
00
00
10
10
01
10
00
01
10
01
10
10
00
11
10
00
00
11
10
10
00
01
10
10
00
10
10
11
10
00
00
10
00
00
00
01
11
10
10
10
00
10
10
01
01
10
01
11
10
00
10
11
00
01
10
00
10
00
00
11
10
00
10
10
10
00
10
10
10
01
00
10
11
01
10
10
10
00
11
11
00
00
10
01
10
10
01
00
11
10
01
10
10
01
10
11
00
00
11
11
00
01
01
10
11
00
00
11
10
01
01
11
10
00
11
10
10
00
01
00
00
11
11
01
00
10
10
00
00
10
10
11
11
01
00
10
10
00
00
11
10
00
11
00
00
10
10
00
10
11
01
00
01
10
01
00
10
01
10
10
00
10
11
00
00
00
10
11
00
11
11
10
00
00
10
10
01
11
01
00
11
01
10
10
01
10
01
00
10
10
00
01
00
10
10
01
00
11
00
00
00
11
10
01
00
00
10
00
01
00
10
10
10
00
00
01
00
00
10
11
11
00
10
11
00
11
11
00
00
11
00
11
00
00
10
01
10
00
00
10
00
00
01
10
10
11
10
10
00
00
00
10
01
00
10
10
10
01
10
01
10
10
00
01
00
00
01
10
11
10
10
00
00
10
10
10
01
10
11
00
00
00
11
10
01
10
11
00
10
00
10
10
10
00
00
10
00
10
11
00
10
10
00
01
10
00
11
00
11
00
00
10
00
10
00
00
10
00
01
10
10
01
00
01
11
11
01
00
00
10
10
11
10
10
00
10
10
00
10
10
11
11
10
00
00
00
10
00
00
11
10
00
10
10
10
10
00
10
11
01
10
00
00
00
10
10
01
00
10
10
11
01
11
01
00
01
11
10
00
00
10
10
10
01
00
00
01
10
01
11
11
00
01
00
10
10
11
00
10
10
00
00
10
00
01
00
01
00
11
11
10
01
11
00
00
10
11
01
10
10
11
10
10
00
10
10
11
10
01
10
01
00
01
11
10
10
00
00
10
10
00
10
00
11
00
01
00
01
10
10
10
01
10
10
00
00
10
10
00
00
10
00
01
11
11
00
00
11
11
10
11
10
01
00
00
11
00
11
10
00
00
10
10
11
11
00
00
00
00
11
10
10
10
01
00
00
00
11
10
11
01
00
00
11
01
10
01
00
00
00
01
11
10
00
00
00
11
01
10
00
00
00
00
01
00
01
00
10
10
00
01
10
10
00
10
10
10
01
10
11
11
10
00
00
00
00
10
10
10
01
00
11
10
01
00
00
11
01
00
10
11
01
01
01
11
11
10
01
00
00
10
00
10
10
10
00
11
11
00
10
10
10
10
10
10
00
00
00
10
00
10
11
01
00
00
00
10
10
11
10
01
01
00
00
00
10
10
00
00
10
10
00
10
01
00
01
11
11
10
11
00
00
10
10
00
00
10
10
01
10
10
01
00
00
00
10
10
01
10
11
10
01
10
11
01
01
01
00
00
11
10
01
10
10
00
00
00
01
10
11
10
10
00
11
00
01
10
00
10
10
11
10
10
10
01
01
01
01
00
01
10
10
01
11
10
00
10
10
01
00
00
11
00
00
10
10
00
11
10
00
10
10
10
00
11
11
10
11
00
10
10
10
00
11
10
00
01
10
10
01
00
11
11
10
10
10
00
01
10
11
01
00
01
01
10
11
00
00
10
01
11
10
00
00
00
11
10
11
00
10
01
01
10
11
11
00
00
11
10
00
10
10
00
00
10
00
00
10
01
10
01
10
11
00
10
00
01
00
10
00
10
10
11
01
01
10
11
10
00
10
10
00
01
11
10
01
11
00
00
10
11
00
11
10
10
00
11
00
00
10
10
01
11
10
01
10
10
00
10
10
10
10
00
01
10
00
01
10
00
01
00
00
10
11
00
00
00
01
11
01
11
01
00
10
11
10
00
00
11
11
01
00
00
00
00
11
01
10
10
00
00
10
10
00
00
11
10
10
11
00
10
00
00
10
10
00
10
10
01
10
10
11
10
01
10
01
11
00
11
10
00
10
00
01
10
10
00
00
11
01
01
00
10
00
11
00
01
10
10
00
00
10
10
10
00
00
11
00
10
11
00
00
10
01
00
01
00
01
10
00
00
11
00
10
10
10
01
10
10
00
10
01
10
10
00
10
11
00
11
00
01
00
11
01
00
10
10
01
00
10
11
00
01
10
01
10
10
00
00
01
11
00
01
10
10
10
11
01
01
10
10
01
10
10
00
01
10
11
10
00
10
00
00
00
10
11
00
10
00
00
01
10
10
10
00
11
00
01
10
01
10
01
10
01
10
01
00
10
10
01
00
10
00
00
10
01
10
11
11
00
11
11
00
00
00
10
00
10
10
00
10
10
11
11
00
00
01
11
10
01
00
10
10
00
10
00
10
00
11
10
01
10
10
01
10
01
10
00
01
00
00
10
10
00
01
00
11
10
00
00
00
00
00
00
11
00
00
11
10
00
10
00
11
10
00
01
00
11
11
00
11
11
00
00
00
10
00
00
01
11
10
10
10
00
10
00
00
11
01
00
00
00
00
10
11
11
00
00
00
10
11
10
10
10
00
00
01
00
10
11
10
11
00
00
00
01
10
11
00
00
11
10
10
10
11
01
11
01
01
10
10
11
01
01
10
10
00
10
00
00
11
00
01
10
00
10
01
10
11
00
00
10
00
00
01
00
11
00
00
10
10
01
00
11
11
10
00
01
00
01
10
10
10
10
11
01
11
10
10
00
00
11
11
11
11
01
01
10
11
00
10
10
00
00
10
00
01
00
00
11
10
00
00
00
00
10
10
01
10
00
10
10
10
00
10
10
11
00
11
10
11
10
10
00
01
10
10
00
11
00
10
11
11
01
10
11
01
01
10
00
11
10
00
01
10
11
00
10
01
11
11
01
11
10
00
10
10
11
01
00
11
01
01
10
11
00
10
10
00
10
10
10
00
10
10
00
00
10
00
01
01
01
10
10
01
00
00
10
11
00
00
11
00
10
00
11
10
11
10
01
00
00
00
00
11
11
10
00
10
11
01
00
00
10
10
10
01
10
00
00
00
00
11
00
00
00
01
10
01
00
00
10
10
01
10
10
00
10
00
11
11
10
00
00
00
10
10
00
00
00
11
11
01
00
11
00
11
10
11
01
00
11
01
00
11
11
00
00
10
00
01
01
11
10
11
10
10
00
10
10
00
00
11
00
00
11
00
01
11
01
10
01
00
10
00
01
00
11
11
00
10
00
00
10
01
00
10
10
01
00
10
00
01
00
10
00
00
00
11
00
01
11
11
10
10
10
01
00
10
00
11
00
00
00
10
00
00
10
10
11
10
10
00
00
00
10
01
11
01
10
11
01
01
10
10
10
00
10
11
00
00
10
01
01
00
00
10
00
01
00
00
10
10
01
01
10
01
11
10
00
00
10
00
11
10
11
10
01
00
01
00
01
10
00
01
11
01
10
01
00
00
10
11
00
11
11
01
11
01
00
01
10
10
11
10
01
01
00
11
00
00
11
10
00
00
11
10
10
00
01
11
11
00
10
10
10
00
10
00
00
11
01
10
00
00
00
10
11
10
10
11
01
10
00
01
00
10
10
01
00
10
01
10
01
10
11
00
00
10
10
10
00
10
00
00
01
00
10
00
10
10
10
00
10
10
00
00
01
11
00
10
11
00
11
11
01
11
00
11
11
01
10
10
00
10
10
01
01
10
00
00
00
00
10
00
10
10
00
00
01
10
01
01
00
10
10
01
00
11
10
00
01
00
00
00
11
10
10
10
10
10
00
10
01
11
00
00
00
10
10
10
11
10
10
01
11
00
10
11
00
11
01
10
00
00
01
11
00
01
10
11
10
00
10
11
00
00
00
10
10
11
10
01
00
01
01
11
10
01
10
10
10
00
00
01
10
11
11
00
10
10
00
01
00
10
10
01
10
01
00
01
01
10
00
10
00
00
10
10
00
11
10
11
00
10
10
10
01
00
00
00
10
10
11
10
00
11
00
11
11
10
01
00
01
00
10
00
10
10
00
10
10
11
00
10
00
00
00
00
00
01
10
11
00
10
11
10
11
00
10
10
10
10
00
11
10
00
00
10
11
11
01
01
00
11
01
00
00
01
11
10
01
00
10
11
11
00
01
00
10
10
01
00
11
00
11
10
01
10
00
00
11
11
01
00
10
00
10
10
01
00
00
10
10
00
00
10
01
01
00
11
00
00
00
00
11
10
00
00
01
11
10
01
01
11
10
01
00
00
00
10
10
00
01
10
10
00
00
00
10
11
01
00
11
00
10
00
00
00
11
00
00
11
01
10
10
01
01
11
01
10
10
01
10
10
00
00
10
01
10
00
10
10
01
10
00
10
01
11
01
11
01
10
00
11
10
11
10
00
11
10
11
01
01
10
00
10
01
00
11
10
01
00
01
10
10
11
11
00
10
10
00
10
10
10
00
01
10
10
01
00
10
10
11
00
00
10
10
10
11
00
00
11
10
10
10
01
10
11
10
00
00
00
01
11
00
00
10
00
01
10
11
01
00
10
10
00
10
10
01
10
10
00
11
10
01
01
10
10
10
11
11
00
01
11
01
10
01
00
10
01
00
10
10
01
00
10
00
00
10
11
10
00
00
00
11
10
11
00
01
10
10
10
00
00
10
10
00
00
00
00
00
11
01
10
10
00
01
01
01
10
01
00
00
00
00
01
11
00
11
10
10
10
01
00
10
10
00
00
01
11
10
01
00
10
00
01
10
10
01
00
01
10
00
10
00
10
10
10
10
01
00
11
01
11
11
00
00
10
10
11
11
00
01
10
11
00
10
00
01
11
11
01
01
00
01
10
10
00
00
10
10
00
01
11
00
00
10
00
00
10
11
10
10
00
00
10
10
00
11
10
11
00
01
00
10
01
00
00
00
10
10
00
00
00
00
00
00
00
10
10
00
01
11
10
10
01
10
01
01
10
01
01
00
01
00
10
10
11
00
01
00
10
10
00
11
00
11
10
01
01
00
11
11
01
01
00
11
01
10
10
10
00
10
10
00
10
11
01
00
10
01
10
10
11
00
10
10
10
00
00
10
00
11
10
00
10
00
10
11
11
01
11
11
00
11
10
10
00
10
00
00
00
10
00
00
00
00
10
01
10
00
10
10
10
01
00
11
11
11
00
01
10
01
10
11
01
00
01
11
00
00
01
11
10
10
01
00
11
10
10
01
00
11
00
10
10
11
10
10
01
00
01
00
10
10
01
11
00
00
10
01
00
10
10
11
01
10
10
00
10
00
01
10
10
10
01
01
10
00
11
10
00
11
10
01
10
11
00
10
10
00
10
01
10
10
10
11
00
10
10
00
10
11
11
00
11
00
10
11
00
00
00
10
10
00
11
00
10
10
10
00
01
11
00
00
11
01
01
00
10
10
01
10
10
01
01
00
00
00
10
10
00
10
01
01
00
00
10
11
00
01
01
10
01
00
10
00
01
10
10
00
01
10
00
00
00
00
10
00
10
10
01
10
01
00
00
00
10
11
10
00
10
00
00
10
10
00
10
01
01
00
10
11
10
01
01
00
10
10
01
11
10
00
00
01
10
01
10
11
11
10
00
00
10
10
10
10
00
10
11
01
10
00
01
11
01
01
00
10
00
01
11
11
01
01
11
00
11
10
11
00
00
10
11
00
10
10
00
00
00
10
10
00
01
01
10
01
01
10
00
00
10
10
00
10
10
00
10
10
11
01
11
00
10
00
10
11
11
10
10
00
01
10
01
01
00
00
11
11
11
01
00
10
00
01
11
00
00
10
10
11
01
00
01
10
10
10
01
00
01
10
00
10
10
00
10
11
11
00
00
01
00
00
11
10
00
00
11
00
01
00
10
01
10
00
10
10
01
00
10
00
10
10
01
11
01
10
10
10
00
10
10
00
00
01
11
00
10
00
01
01
00
01
10
10
00
11
10
01
11
10
11
11
10
00
01
10
10
00
00
10
11
00
00
00
10
00
00
10
11
10
10
01
00
10
11
11
10
01
00
10
00
00
01
10
11
01
01
10
11
01
11
11
00
00
10
10
00
11
11
01
01
01
00
00
00
10
00
01
10
10
10
01
10
10
01
10
11
01
01
11
00
11
11
10
00
00
10
10
01
11
10
00
00
10
10
11
00
00
00
00
00
10
10
00
00
10
01
00
01
00
10
10
00
00
10
00
00
11
11
11
11
01
01
10
11
00
10
10
00
10
10
10
00
11
00
10
00
10
10
00
01
01
00
10
00
00
11
10
00
10
11
00
11
00
00
00
00
10
01
11
11
00
00
00
01
10
10
10
00
01
10
10
11
00
11
10
10
00
00
11
11
00
01
01
00
11
10
10
10
00
01
01
10
11
00
10
00
00
01
11
00
00
10
10
00
00
11
01
10
01
10
10
11
10
11
00
00
10
10
01
00
01
10
01
00
10
11
00
11
11
10
00
00
11
01
10
11
00
10
01
10
11
11
01
10
00
10
10
00
00
00
10
00
11
11
01
00
10
10
10
10
00
00
10
11
00
01
01
11
01
01
00
00
00
10
10
00
00
11
10
10
00
01
11
11
11
01
00
10
01
10
10
00
10
10
00
10
00
00
10
01
00
10
11
01
01
10
11
01
11
01
01
10
11
00
01
00
11
00
10
10
00
00
10
11
00
10
00
10
00
01
11
10
11
11
10
01
11
10
00
00
10
00
00
10
00
01
01
00
10
10
10
11
10
00
10
10
01
00
10
00
11
00
00
10
00
00
00
01
00
10
00
10
10
00
10
00
11
10
00
00
10
10
00
10
10
10
10
10
00
00
01
00
11
01
10
11
00
10
10
00
00
11
00
11
11
11
10
10
00
00
01
00
10
10
00
10
11
10
00
11
11
11
00
10
00
10
11
00
01
10
10
01
01
10
11
00
01
10
00
10
10
00
00
00
10
10
00
10
10
11
01
10
00
00
00
11
10
00
11
10
11
01
01
11
00
01
00
11
10
00
10
11
00
00
10
10
00
00
00
00
10
10
00
00
00
10
00
10
10
10
11
01
10
10
00
00
10
10
10
01
11
10
01
11
00
00
11
10
10
10
00
10
10
01
01
01
10
00
01
00
10
10
00
11
11
11
01
00
00
10
10
01
11
10
00
01
10
01
00
00
00
10
00
11
00
10
11
00
10
11
00
00
01
00
10
01
11
00
10
11
00
00
10
01
10
00
10
10
11
00
10
00
00
00
00
01
11
01
10
11
00
10
00
00
10
10
10
00
11
10
01
11
10
00
00
10
00
00
10
11
10
01
11
11
00
00
11
00
10
11
10
00
11
11
10
01
00
10
00
10
00
01
01
10
10
10
10
10
10
01
01
11
10
10
00
10
10
00
10
10
00
00
10
00
11
11
01
11
11
10
00
00
00
10
10
01
11
10
01
00
00
00
11
10
00
10
00
01
00
10
10
00
10
00
00
10
00
10
10
11
10
01
00
10
10
00
10
10
10
00
10
00
10
10
00
00
10
01
11
00
00
00
10
00
11
10
01
11
10
10
00
10
01
10
01
10
00
01
11
01
00
11
00
11
10
10
11
01
00
10
11
01
11
10
00
11
00
10
11
10
00
11
00
01
00
00
01
00
01
01
10
01
01
10
00
10
11
00
01
11
11
10
10
11
00
01
11
01
00
10
01
00
10
11
11
10
10
01
01
01
00
00
00
00
00
00
11
00
10
00
10
00
11
10
00
00
00
00
00
10
10
11
10
11
00
00
00
10
00
10
00
01
10
10
11
01
10
10
11
00
00
00
10
10
00
11
11
10
00
00
01
10
01
00
10
10
01
00
11
10
00
10
11
10
10
10
00
00
10
10
01
00
10
11
11
01
00
10
10
10
10
01
01
10
10
10
00
00
00
00
10
10
00
00
11
00
01
01
00
10
10
01
10
10
00
11
00
00
00
00
01
01
11
10
01
00
11
00
00
00
10
01
00
11
00
11
11
00
11
00
10
10
01
00
01
01
10
01
01
00
00
01
11
01
00
11
01
10
01
00
11
00
01
10
10
00
00
11
10
10
00
00
00
11
00
00
10
10
11
10
01
01
01
11
00
00
11
10
00
10
10
10
00
10
10
10
11
10
11
00
01
00
00
11
10
00
10
11
00
11
10
10
00
01
10
11
11
01
11
11
00
00
00
10
00
11
11
00
00
00
01
00
10
00
00
00
11
11
00
10
10
00
11
10
00
11
01
11
01
00
10
00
11
11
00
00
10
01
00
00
00
10
10
00
00
00
00
00
11
00
01
11
11
10
00
00
00
00
00
11
10
10
00
10
11
10
00
11
01
11
00
10
11
11
01
10
10
01
10
10
01
00
10
00
00
11
10
01
10
10
00
00
11
10
10
00
01
10
01
10
10
11
10
01
10
00
00
10
10
10
11
00
11
11
01
11
11
11
00
00
10
00
00
10
10
01
11
10
01
01
00
10
00
01
10
10
00
00
00
11
01
00
10
10
11
00
10
01
00
00
10
10
11
11
00
01
01
00
00
01
10
10
10
00
01
00
00
10
01
10
01
11
01
10
10
00
10
10
10
00
00
11
11
01
01
10
00
00
10
10
00
01
11
10
10
10
10
00
00
10
10
01
00
00
00
10
00
10
11
00
11
11
10
00
10
11
11
10
01
00
11
00
11
10
10
10
01
01
01
01
10
11
01
10
01
11
10
01
10
01
00
11
00
10
00
01
01
01
00
10
10
00
10
00
01
10
00
01
10
10
00
00
10
10
00
10
01
00
00
11
10
10
01
00
11
00
10
11
10
00
00
11
11
10
10
10
10
00
10
10
01
10
10
00
00
10
01
11
00
00
10
11
00
11
10
00
10
00
11
00
00
10
11
00
10
10
01
00
10
10
10
11
00
10
10
00
10
10
00
00
10
10
10
11
00
10
11
10
11
10
00
01
11
01
10
10
00
00
10
10
10
10
00
10
00
00
10
10
10
11
00
00
10
01
10
10
00
01
01
00
10
11
11
00
01
10
01
01
01
11
01
00
11
00
00
10
10
01
01
00
10
10
00
01
00
01
10
10
10
10
10
11
01
00
00
10
11
00
11
10
01
00
11
10
00
00
11
01
01
10
00
00
01
10
11
10
00
10
10
00
00
01
10
10
00
01
01
10
00
00
11
10
00
11
11
00
00
00
10
11
10
01
00
01
00
10
00
10
00
00
00
00
00
10
10
10
00
00
00
11
00
00
10
10
10
00
10
10
11
00
00
11
11
10
01
00
10
00
11
11
01
00
10
10
00
00
00
10
00
00
11
10
00
10
10
10
01
00
10
10
00
10
00
10
00
10
10
10
00
01
00
10
11
10
00
10
10
01
00
01
11
11
10
10
10
00
00
10
10
00
00
11
00
10
11
00
00
00
01
10
01
10
10
11
00
01
10
01
01
00
11
10
11
00
11
10
10
10
00
00
10
01
11
00
01
11
00
00
01
01
10
10
10
11
01
00
10
11
10
10
00
00
11
10
10
00
10
00
00
01
00
10
10
10
11
10
10
00
10
00
00
10
00
10
11
11
10
00
01
00
11
01
00
11
10
10
10
10
10
10
00
00
00
01
11
01
00
10
10
00
01
01
11
10
01
10
00
10
00
10
00
00
01
10
11
11
00
11
11
10
00
00
11
01
01
11
11
01
10
10
10
00
10
10
01
00
10
11
11
00
10
00
10
11
10
01
00
11
10
10
01
00
10
00
11
01
00
01
10
10
00
10
01
00
10
11
10
00
01
01
11
01
00
10
10
00
10
10
10
01
00
11
01
01
00
10
10
10
11
00
10
01
10
00
10
10
01
01
10
10
00
10
00
10
11
10
00
10
00
00
11
01
01
00
10
11
01
00
00
10
10
10
01
00
10
10
00
10
10
01
10
01
11
00
00
11
00
10
01
00
00
11
00
00
00
11
10
00
11
10
10
00
00
00
00
00
00
10
10
10
10
01
01
00
11
00
10
10
00
11
11
10
00
00
10
10
00
01
10
01
00
00
01
01
11
11
10
10
00
11
01
01
10
11
01
00
10
00
10
10
00
00
00
11
10
11
01
00
00
11
00
01
00
10
01
00
00
10
10
00
10
11
00
10
01
10
10
10
10
01
00
10
00
00
10
10
11
00
11
10
10
00
11
11
00
10
01
00
00
00
10
10
11
01
00
11
10
01
00
01
01
10
00
00
00
11
10
10
10
11
00
00
11
11
00
11
00
10
00
00
10
01
10
00
00
10
00
00
00
10
11
01
01
10
01
00
11
11
10
01
01
10
10
00
01
00
01
11
10
01
11
00
11
10
00
01
10
11
01
01
10
00
01
00
11
00
01
10
10
10
00
00
10
10
01
10
01
00
11
10
10
00
11
01
10
10
00
10
11
00
00
10
00
01
10
00
00
01
01
00
00
01
11
00
00
11
10
10
00
00
00
11
11
00
10
00
00
01
00
10
00
00
10
11
10
10
00
10
11
00
11
10
00
00
10
10
00
00
10
10
01
11
11
10
00
00
10
00
00
00
00
11
10
11
00
00
10
00
10
10
10
10
00
10
10
01
00
10
01
11
11
10
01
00
11
10
11
10
00
10
11
10
00
11
10
10
00
10
10
00
00
01
11
00
01
10
10
00
00
10
11
00
00
10
11
10
10
01
00
01
00
10
00
00
10
11
00
10
10
00
01
00
11
00
11
10
00
00
11
11
00
11
10
11
10
00
00
00
00
10
00
01
11
10
00
10
11
10
01
00
01
11
10
10
01
10
11
11
01
01
11
00
10
10
00
10
00
00
11
10
10
11
01
01
01
10
10
00
01
10
11
00
11
10
10
00
11
01
01
10
00
00
00
11
00
10
10
01
01
11
11
00
00
10
10
00
00
10
11
00
00
10
01
00
10
11
10
00
00
10
01
11
10
01
00
10
00
01
10
00
00
10
00
01
00
10
00
01
11
00
11
10
01
01
01
01
00
10
11
00
01
10
10
11
01
11
10
10
10
00
01
10
01
01
10
01
00
00
10
00
00
01
10
10
00
01
10
11
01
11
10
00
00
01
00
10
10
00
00
10
10
00
10
10
01
10
00
01
11
01
10
10
00
00
10
01
10
01
00
00
11
10
01
00
11
10
11
10
00
00
10
10
01
00
11
00
10
01
00
00
10
00
00
10
10
10
01
00
11
10
00
10
00
10
11
01
00
00
11
00
00
10
11
00
00
10
00
00
10
10
10
01
00
00
10
00
00
11
11
10
11
01
01
00
10
10
10
10
00
01
10
00
01
01
11
00
01
10
10
00
10
11
00
01
01
01
10
01
10
10
10
00
00
10
10
10
01
00
00
01
10
00
11
10
10
00
01
11
11
11
00
00
00
01
11
11
01
00
10
10
00
01
10
10
01
10
11
10
10
00
01
10
10
00
10
10
00
01
11
11
11
11
00
10
00
00
00
10
10
00
00
01
11
10
00
00
00
10
01
00
00
11
01
11
11
00
11
10
01
11
10
01
01
10
11
10
00
11
10
00
11
10
00
00
01
10
01
00
01
10
01
11
11
01
11
10
00
01
10
10
00
10
10
01
00
11
11
10
00
00
00
10
10
10
10
00
01
10
10
01
00
01
00
00
10
10
00
10
00
00
10
00
10
10
00
11
01
00
00
11
11
10
10
10
10
01
00
11
10
00
01
10
11
11
11
00
00
10
10
00
01
11
10
10
10
10
00
10
10
10
00
00
00
00
00
11
00
10
01
00
10
00
10
10
10
10
01
10
10
00
10
00
00
00
11
00
00
00
00
10
00
00
10
11
00
10
00
01
10
11
01
10
11
10
00
00
01
10
00
11
11
01
10
01
11
11
01
10
00
10
10
00
00
11
10
01
11
11
10
00
00
10
00
00
00
10
11
00
10
10
01
00
11
11
11
11
00
00
11
00
01
10
11
01
01
00
11
11
01
00
01
01
10
11
10
01
01
10
10
01
00
10
00
10
11
10
10
00
01
00
00
10
01
00
10
00
00
10
00
00
00
10
00
00
00
10
10
00
00
10
01
01
10
00
01
00
00
11
01
11
11
10
10
00
00
00
11
11
00
10
01
00
11
10
01
10
10
00
10
00
11
10
00
01
10
01
01
11
10
00
00
11
10
01
01
11
10
11
01
00
10
10
11
00
01
00
00
10
10
00
10
10
10
01
00
11
10
11
00
10
10
01
10
11
00
00
00
10
11
10
01
10
01
00
00
00
10
10
01
01
01
00
10
10
10
00
00
10
10
01
00
11
00
00
01
10
11
00
10
01
10
01
00
10
10
01
00
01
01
10
00
00
11
10
00
01
10
00
01
10
00
01
00
00
00
00
10
00
00
10
00
01
10
11
11
10
11
11
10
11
00
01
00
10
00
11
10
01
10
11
11
00
11
10
00
11
11
01
00
00
11
11
10
01
01
10
10
00
01
11
10
01
01
00
01
10
00
10
11
11
10
00
10
11
10
10
00
10
00
10
00
00
01
00
10
10
11
10
11
10
11
01
10
00
10
10
00
00
00
10
10
00
10
10
11
01
10
01
00
10
10
10
11
10
10
00
11
00
00
11
01
00
01
00
00
01
00
11
01
00
10
10
10
10
01
01
11
11
00
10
11
11
01
10
11
00
00
01
01
00
11
11
00
10
01
10
00
01
10
10
00
10
01
00
01
10
11
10
10
11
10
01
01
00
00
00
10
10
10
00
10
10
00
10
10
10
00
11
00
00
10
01
01
01
10
11
00
01
01
00
10
10
11
10
00
00
01
00
11
00
10
00
00
00
00
10
11
10
00
10
10
10
01
01
01
00
10
10
00
00
01
10
11
00
10
10
01
10
11
10
00
00
11
10
10
10
00
00
10
01
00
00
10
10
11
10
10
10
10
01
00
11
00
10
11
11
10
11
10
01
10
01
10
10
00
00
01
10
10
00
01
11
10
00
00
10
00
11
11
00
11
10
11
01
00
11
11
00
01
10
10
00
00
10
00
00
11
10
10
11
00
00
00
10
00
00
10
00
10
10
00
11
00
01
10
11
11
00
00
00
11
10
00
00
00
11
10
10
00
11
11
10
11
00
01
10
01
01
11
01
00
10
10
11
00
11
10
10
00
10
00
00
00
10
00
00
00
10
11
11
00
01
11
00
00
10
11
01
01
11
01
11
10
00
11
10
11
00
00
11
10
10
00
00
10
10
00
00
00
00
11
00
00
00
11
00
00
00
00
00
11
00
00
01
00
10
00
11
10
11
01
00
10
10
10
00
10
11
01
11
10
11
00
00
00
10
10
00
10
00
10
00
01
00
11
00
00
01
10
10
00
00
10
00
10
01
01
10
00
10
01
00
00
00
10
00
00
00
10
10
10
10
10
01
10
00
01
10
01
01
11
10
11
10
00
10
10
01
00
10
10
01
00
10
00
00
00
00
00
10
10
00
00
01
11
10
00
00
10
00
10
10
00
00
11
01
00
00
00
01
11
00
00
10
10
01
00
11
01
10
10
10
00
01
10
10
00
11
10
01
11
10
00
11
00
10
11
00
10
00
10
01
00
01
10
10
11
00
01
10
11
00
10
00
00
01
01
10
10
01
00
01
00
00
11
11
10
11
10
00
00
10
00
01
11
11
00
00
00
10
10
00
00
10
11
01
00
10
00
00
10
00
00
10
00
01
00
00
10
11
10
00
00
00
10
11
00
10
00
00
10
00
11
10
11
10
00
01
10
11
00
00
10
11
10
10
01
00
11
10
01
10
01
00
01
01
10
11
11
10
00
10
00
00
11
11
10
00
00
00
00
01
11
10
01
00
11
00
10
10
00
00
11
00
00
10
10
00
10
01
01
11
10
10
11
00
11
10
00
11
00
11
10
01
00
00
10
00
00
10
00
01
10
10
10
00
00
00
00
00
10
01
10
10
00
01
10
01
11
00
01
10
10
10
10
00
01
10
10
01
10
10
00
01
00
01
10
10
10
01
01
00
01
10
10
10
01
00
00
10
01
00
01
00
11
01
11
10
10
01
00
01
01
11
10
11
10
10
10
00
00
01
11
10
00
01
11
10
10
11
00
11
11
11
10
00
10
11
01
01
10
00
00
10
10
10
00
01
01
10
00
00
01
00
11
00
01
10
00
00
10
00
10
00
00
00
00
01
10
01
10
11
00
10
01
10
11
01
00
11
10
00
00
11
10
01
00
10
00
11
11
11
00
01
11
11
00
00
00
01
11
10
00
10
11
11
00
00
10
10
10
00
00
10
10
00
10
10
01
10
11
10
01
01
10
01
00
10
10
10
00
00
00
10
00
01
01
11
11
10
11
11
10
10
00
00
10
10
01
11
11
11
00
10
10
10
00
00
00
10
00
11
00
01
00
10
01
01
00
10
10
00
11
10
00
10
11
10
01
01
10
10
01
01
00
00
00
10
01
11
10
00
10
10
11
00
01
00
10
11
11
00
11
01
01
00
00
00
11
00
10
01
10
11
00
11
10
11
00
00
00
11
10
10
11
01
11
10
10
00
10
00
10
10
00
00
00
00
10
01
11
10
00
00
10
00
11
01
10
01
00
11
10
00
00
01
10
11
01
11
00
10
00
01
00
11
10
10
10
01
00
00
00
10
11
11
10
11
10
00
00
11
00
00
10
11
11
00
10
00
00
10
00
00
00
11
11
10
10
00
01
00
01
10
10
00
10
01
10
00
00
10
11
10
11
01
01
10
00
01
11
00
00
11
11
01
10
00
01
01
01
01
01
11
11
10
11
00
01
10
00
01
10
10
01
10
11
00
10
11
10
10
10
00
00
00
10
10
00
00
00
01
00
00
11
10
01
00
00
10
10
11
00
10
11
00
00
01
11
10
01
10
00
11
00
00
11
01
11
00
10
01
10
01
01
00
10
00
00
10
10
10
00
00
01
10
11
01
11
11
01
00
00
10
11
10
01
00
00
00
00
11
10
11
01
01
10
00
00
00
01
11
10
00
01
11
10
10
00
10
00
10
00
00
11
10
11
00
11
10
11
00
01
00
10
00
01
01
00
00
10
10
00
10
00
00
10
11
00
01
10
00
00
00
00
11
00
10
01
00
10
00
00
00
10
10
10
11
00
11
10
01
00
00
00
10
00
00
11
00
10
10
00
00
01
00
11
11
11
11
00
10
00
01
00
10
01
00
10
00
10
01
11
10
11
00
00
10
10
01
01
10
11
01
10
10
00
01
11
10
00
00
00
00
10
10
00
10
01
10
11
00
01
10
01
10
11
10
10
00
00
10
10
00
01
00
10
00
01
01
01
00
11
10
00
00
00
10
10
00
11
01
01
11
00
00
01
00
00
00
10
00
11
00
00
11
10
10
11
00
11
00
10
10
11
00
01
11
10
11
10
11
00
01
00
10
10
00
00
10
01
00
00
10
00
00
00
10
11
11
01
00
00
10
11
10
11
00
00
11
00
10
01
10
10
11
00
00
01
00
00
10
00
11
00
01
10
10
10
10
00
00
01
11
10
00
10
01
00
10
10
10
01
00
00
00
01
00
11
10
10
11
01
01
10
10
10
00
11
00
01
10
10
00
00
10
00
11
11
00
00
01
10
10
01
00
10
00
01
10
10
00
00
10
10
10
11
01
01
11
11
00
10
01
00
11
10
00
00
11
10
01
10
01
10
01
00
10
11
01
00
11
01
10
00
00
00
00
11
10
11
00
01
00
11
10
11
10
10
00
00
11
10
00
00
00
11
00
11
11
01
00
10
10
00
01
10
11
00
00
10
10
11
00
00
10
00
10
10
10
00
11
10
10
00
00
10
10
00
01
10
10
00
11
11
00
10
00
11
10
00
10
01
01
10
00
10
00
01
10
10
10
00
11
00
11
00
00
11
10
10
00
10
01
11
11
00
00
00
10
11
00
10
00
00
10
00
10
01
01
00
01
00
00
10
10
11
11
10
01
00
00
11
01
00
11
10
00
10
00
00
10
11
01
01
11
10
00
01
00
10
10
01
01
00
10
10
01
11
10
00
10
01
00
10
00
10
10
00
00
00
11
01
10
00
10
00
10
10
10
00
00
10
10
10
00
00
01
01
10
11
00
01
00
10
01
11
00
10
00
01
00
10
00
11
00
10
10
00
11
10
01
10
11
01
10
01
11
11
00
00
10
10
01
11
10
00
00
00
11
00
10
10
11
10
10
00
01
10
11
00
01
00
10
11
00
10
11
01
00
10
01
10
10
00
01
11
11
01
11
00
00
00
00
00
10
11
10
01
00
00
10
10
00
11
10
10
00
11
10
00
00
00
11
10
10
01
00
10
10
00
00
10
00
10
00
00
10
10
01
10
10
00
00
10
11
10
00
00
10
11
10
00
00
11
00
00
10
10
00
00
00
01
11
11
00
01
00
10
01
01
10
10
10
01
01
11
11
00
10
00
01
10
10
10
00
11
10
01
10
10
11
00
00
01
00
10
00
11
11
10
01
10
00
00
00
01
11
11
10
11
11
10
00
00
10
00
00
10
10
10
00
00
01
01
10
10
00
10
11
00
11
00
10
10
11
00
10
00
00
11
11
01
00
00
00
11
11
00
01
10
00
01
00
01
10
10
00
10
01
11
00
01
01
10
00
10
11
00
01
00
10
10
00
00
10
11
10
01
00
10
00
00
10
01
00
10
01
01
10
10
00
10
10
01
10
00
00
00
11
01
10
00
11
11
00
00
00
10
11
10
10
00
01
10
10
00
10
01
11
11
11
11
01
00
10
10
01
00
10
00
10
00
11
10
00
00
00
01
10
10
10
10
11
11
10
10
10
10
11
10
00
10
10
00
00
11
00
10
10
01
10
00
10
11
00
01
10
11
00
00
11
01
01
10
11
01
10
10
10
01
10
11
00
11
11
00
11
00
01
10
11
00
00
11
01
01
10
10
00
11
01
01
00
10
11
00
01
10
00
01
10
00
01
00
10
11
11
00
10
00
00
11
00
00
11
11
00
11
00
01
00
10
00
11
10
01
01
11
10
00
11
00
00
00
01
11
10
00
11
10
01
00
10
10
00
10
00
01
10
10
11
11
00
11
10
00
10
10
10
10
00
10
11
00
11
10
10
00
10
10
00
00
10
00
00
00
00
10
11
11
10
11
10
11
00
10
01
01
11
10
11
00
00
10
11
10
00
10
10
01
00
00
00
10
10
11
00
00
10
00
10
00
10
00
10
10
00
00
10
00
11
00
10
10
00
00
10
00
00
10
01
00
10
00
00
10
11
10
01
00
10
00
00
01
00
11
10
00
10
11
01
11
11
00
00
10
01
00
00
10
10
10
11
00
01
10
10
11
11
10
00
01
10
10
10
00
01
10
00
10
01
01
11
00
10
11
00
10
10
01
00
10
00
10
00
10
00
00
10
10
00
01
00
00
11
00
10
10
00
00
00
01
00
11
10
10
11
00
01
11
10
10
10
10
00
10
10
00
11
00
00
11
10
10
10
00
00
10
11
00
00
10
11
10
00
00
00
00
00
10
01
10
10
11
10
10
00
10
00
10
01
01
11
00
10
00
10
10
11
00
00
01
11
10
10
11
01
01
11
10
01
00
00
10
10
01
00
11
10
00
10
01
00
00
00
10
10
00
00
00
01
10
01
10
00
00
10
10
11
01
11
00
00
11
00
11
00
01
01
01
10
01
10
10
01
10
00
00
10
00
00
10
11
10
10
00
00
10
01
00
11
10
10
10
10
10
10
10
00
10
11
01
11
00
11
00
10
00
00
01
10
10
10
11
11
00
11
00
10
00
00
00
10
10
01
00
00
00
10
00
10
01
00
10
11
10
11
00
10
10
00
01
00
11
10
01
00
01
11
11
10
01
01
10
00
11
11
01
01
10
01
01
11
10
10
10
10
01
10
10
00
11
10
11
10
10
00
00
10
10
01
00
11
01
10
00
11
00
01
00
10
10
10
00
01
10
10
00
00
10
10
11
01
01
10
00
10
10
00
10
11
00
00
10
01
00
11
10
11
11
01
00
10
11
00
01
01
10
00
10
11
00
11
11
10
01
10
10
10
01
01
11
11
01
00
10
00
01
10
11
01
00
00
01
00
00
00
10
10
10
01
00
00
11
00
11
10
00
10
10
00
01
10
01
11
01
10
10
10
10
10
01
11
10
10
00
10
01
01
00
10
10
00
00
00
01
11
10
01
01
11
10
11
01
00
10
11
11
10
00
00
10
10
00
00
00
10
10
10
10
00
10
01
11
10
11
00
11
00
00
00
11
10
11
11
00
01
01
01
11
01
11
10
10
01
00
10
10
00
10
00
10
10
11
00
00
10
01
00
01
00
00
00
10
00
01
10
10
11
00
00
10
00
01
10
11
11
10
00
00
00
00
00
01
10
00
00
11
00
10
01
11
10
00
00
01
00
11
10
00
00
11
00
01
10
00
11
00
01
01
10
10
10
00
10
01
00
00
10
00
00
11
10
10
01
00
10
10
01
11
00
10
01
00
11
11
10
00
01
00
11
10
00
00
00
10
01
10
11
10
10
00
00
10
01
00
11
10
11
01
10
00
00
11
01
11
10
11
11
00
10
01
10
11
10
00
11
11
11
00
00
11
00
00
00
00
10
10
00
00
10
01
11
10
11
00
00
11
10
10
10
11
00
01
11
01
01
00
10
11
00
01
10
10
00
10
10
00
00
00
00
11
10
00
00
11
00
10
11
01
00
10
01
11
11
10
00
00
11
11
01
11
00
01
11
01
01
10
11
00
00
10
11
00
01
00
10
00
11
11
00
10
10
01
00
00
00
00
10
11
00
10
00
00
00
10
10
10
10
10
01
10
01
00
10
11
10
01
00
00
10
11
11
10
10
00
00
11
10
00
00
10
00
10
00
10
10
10
10
10
00
00
10
11
11
10
01
10
10
10
00
00
10
01
00
11
10
11
00
11
01
00
10
10
00
00
10
11
01
10
11
11
00
00
10
10
10
00
00
10
10
00
00
00
00
01
10
00
10
00
00
11
01
00
00
10
00
11
00
10
10
10
00
00
10
10
11
00
11
01
10
00
01
10
00
00
10
10
11
11
00
10
10
10
01
00
00
11
00
01
11
10
00
00
10
01
10
10
10
00
11
11
01
00
11
10
11
00
00
11
10
10
10
00
00
01
11
00
10
00
11
11
10
01
10
00
10
11
00
10
00
10
11
11
00
00
01
10
10
00
10
10
01
11
11
00
11
10
10
00
00
10
10
00
00
10
01
00
10
10
11
00
01
01
00
01
00
11
00
10
11
10
00
00
11
10
10
01
00
10
10
00
10
00
11
11
10
10
10
10
00
11
01
00
11
10
00
00
00
00
10
11
10
10
10
10
00
10
10
01
01
10
00
10
10
10
10
00
10
00
01
10
00
00
11
00
11
00
00
10
10
10
10
10
00
00
00
10
00
00
01
00
10
00
00
00
10
11
10
11
01
10
10
01
01
11
10
10
10
00
10
10
01
00
01
00
11
00
10
01
01
00
01
00
10
11
10
11
11
11
00
01
00
00
00
10
10
00
01
10
00
01
10
10
11
10
00
10
10
00
01
01
10
10
11
10
01
00
00
11
10
01
11
00
10
11
11
01
01
01
10
00
00
00
10
10
00
10
00
00
00
01
11
10
01
10
00
10
11
00
11
11
01
11
11
00
10
10
00
10
11
01
00
11
10
00
11
10
00
00
10
11
10
01
11
11
00
10
10
00
00
11
10
00
01
10
00
11
00
00
11
10
10
00
01
01
00
10
10
00
01
11
00
10
10
01
00
10
10
01
01
01
10
10
01
01
00
00
00
10
10
00
01
10
11
01
10
10
10
01
01
00
11
01
00
01
10
11
01
10
00
10
01
00
01
10
10
00
00
01
11
00
00
10
10
10
01
11
01
10
01
10
10
00
00
00
10
11
11
10
10
10
00
10
00
01
11
10
00
00
00
11
10
01
10
01
11
01
11
01
10
01
00
00
00
00
00
10
10
00
10
01
10
11
00
10
10
10
00
00
01
10
10
00
10
00
00
10
10
11
10
01
00
10
11
01
00
11
10
00
11
11
10
01
10
00
01
11
10
01
10
10
11
10
01
11
10
00
00
10
10
00
10
10
01
11
00
11
11
11
10
10
01
00
01
01
11
01
10
11
00
11
11
11
00
00
00
10
11
00
00
10
11
00
01
00
10
00
10
01
01
10
10
00
00
00
11
00
00
10
10
10
10
00
00
00
10
10
00
00
00
00
00
00
10
11
00
01
10
00
01
01
00
00
10
00
11
01
00
11
10
11
00
00
11
11
00
01
11
00
01
00
10
11
00
00
11
00
01
00
00
10
10
10
00
10
10
01
01
00
11
10
00
11
10
00
10
10
01
10
00
10
00
10
01
00
10
00
00
10
01
00
00
00
00
11
00
10
10
00
10
00
00
00
10
11
11
11
10
00
01
01
00
10
10
01
01
00
11
00
01
10
10
10
01
01
10
01
00
00
00
01
10
00
00
10
00
10
00
10
11
00
00
10
11
00
00
00
10
01
00
01
00
10
10
11
10
00
00
10
01
01
11
00
01
10
10
10
10
11
00
10
00
00
01
11
10
01
10
10
10
01
11
10
01
00
10
00
00
10
11
00
00
10
10
00
01
00
10
11
00
00
00
10
11
00
01
01
00
11
10
01
10
11
11
10
01
00
11
10
01
01
00
00
11
10
00
10
00
10
00
01
00
10
00
10
00
00
11
00
10
00
10
10
10
00
00
11
01
11
01
10
10
10
00
01
11
10
10
01
11
11
11
10
00
00
10
00
11
10
01
00
10
00
00
10
00
10
10
10
00
11
10
00
01
01
01
01
11
10
00
00
10
10
00
00
11
00
00
10
00
01
00
10
11
00
10
00
00
00
10
00
00
10
11
00
00
10
01
10
10
00
00
10
00
01
10
00
10
00
10
10
00
01
01
11
01
10
10
10
00
10
10
00
00
00
01
10
01
00
00
00
10
00
10
00
10
10
00
10
10
10
01
00
10
01
11
10
10
10
01
11
00
10
10
10
01
10
00
00
01
10
00
10
01
10
11
00
10
10
00
10
01
00
10
01
01
00
10
01
01
01
00
10
10
11
11
11
01
10
10
10
10
11
00
00
10
10
00
10
10
11
01
00
00
00
00
11
10
10
00
01
00
01
01
11
11
11
10
01
00
10
10
00
00
11
00
00
00
10
01
01
10
00
10
10
10
01
00
00
01
11
10
00
01
10
01
10
11
00
01
00
11
10
00
10
00
00
11
00
00
10
00
00
00
01
11
00
01
00
11
11
00
11
10
01
01
01
11
00
00
11
10
11
00
00
10
10
10
00
00
00
11
00
00
10
11
00
11
00
00
00
10
10
00
10
10
00
10
00
11
01
00
01
00
10
10
11
00
00
11
11
01
10
10
01
00
00
10
00
00
10
00
00
10
10
10
01
10
01
01
11
01
00
10
11
00
11
00
01
10
11
00
10
00
10
00
01
00
11
11
10
10
10
10
10
01
01
01
11
10
10
01
10
11
00
00
10
11
10
10
01
01
00
01
10
00
00
01
00
11
10
00
01
10
00
00
10
11
01
11
10
01
00
10
00
11
10
00
11
10
00
11
00
00
00
11
10
10
01
00
00
10
01
11
00
00
00
10
01
00
11
10
00
01
01
11
00
00
10
10
10
10
10
10
00
00
00
10
10
00
01
10
11
00
11
10
11
00
01
11
10
00
00
11
10
10
01
01
10
10
10
01
00
01
10
11
10
00
01
00
01
11
10
10
00
11
00
01
10
10
11
00
00
10
10
01
00
10
10
01
10
01
01
10
10
00
11
10
01
00
10
10
01
00
00
00
00
01
11
11
00
10
01
00
10
10
11
01
11
10
01
00
11
00
01
11
11
00
10
00
00
10
11
00
00
01
01
10
00
00
10
10
00
01
01
10
01
10
01
10
10
00
10
10
10
10
00
10
01
00
10
10
00
00
00
10
00
11
00
00
11
10
01
00
00
11
11
00
11
11
00
00
01
11
00
00
11
00
10
00
11
11
11
00
11
00
00
10
00
10
10
01
01
00
11
10
11
10
10
00
00
00
11
00
10
10
01
10
00
00
11
10
11
11
10
00
11
10
00
10
01
01
00
11
10
00
01
10
00
10
10
00
00
10
10
00
00
11
10
00
11
11
00
00
00
00
10
10
01
01
00
00
00
01
11
10
10
10
00
10
00
00
10
10
00
11
11
10
11
10
00
01
11
10
11
00
01
10
11
00
00
00
10
10
00
10
10
00
10
11
00
00
01
01
01
01
10
00
10
10
10
10
00
00
10
00
10
11
10
11
00
11
10
11
10
00
11
11
00
00
10
10
00
10
01
10
11
11
01
10
00
10
00
11
10
10
01
00
00
00
10
01
10
11
10
11
00
00
00
01
00
10
10
01
00
00
10
10
10
01
11
00
00
10
10
00
10
11
00
10
00
01
00
00
10
11
01
01
11
10
01
00
10
00
10
10
00
01
10
00
10
10
10
10
10
01
10
00
00
11
10
00
11
10
01
00
10
10
11
00
10
10
01
10
11
00
10
00
11
11
01
01
10
11
11
10
10
00
00
11
00
00
00
00
10
11
10
00
01
00
10
10
00
01
00
10
11
00
01
00
11
00
10
10
01
10
11
01
00
10
00
10
11
11
00
00
00
00
11
10
10
01
00
10
10
10
10
00
00
10
00
00
10
00
00
00
10
10
00
00
00
10
00
10
11
10
11
01
10
10
11
11
00
10
00
00
01
10
10
10
11
10
11
00
00
10
11
00
10
10
00
10
10
11
11
00
00
11
10
00
10
10
10
10
01
01
00
00
00
01
01
11
10
00
01
00
00
10
10
00
00
00
10
10
10
01
11
11
00
01
10
01
10
00
00
10
01
11
11
00
10
01
00
10
11
00
01
01
11
01
10
11
11
10
01
00
11
10
00
00
10
00
01
10
11
01
11
10
00
10
01
01
10
10
01
01
00
00
10
10
11
11
00
01
10
10
00
11
01
00
00
11
00
10
11
01
10
01
01
11
10
01
10
10
10
00
01
10
10
00
00
11
11
01
01
11
01
10
10
01
00
01
10
10
10
00
01
00
10
00
00
10
11
01
10
00
00
10
00
00
10
00
10
11
00
10
11
00
10
11
00
10
10
01
10
11
00
10
00
10
10
10
10
00
11
01
10
10
11
00
01
11
10
11
11
00
11
01
01
00
00
10
01
10
10
11
00
00
11
00
10
11
00
00
00
10
10
10
00
10
00
00
00
00
00
10
00
10
10
01
10
10
00
11
11
01
10
11
10
10
11
00
10
10
00
00
10
11
01
00
10
10
11
00
00
00
10
00
10
11
10
01
01
00
01
01
10
01
00
10
01
10
01
11
11
10
10
01
00
01
10
10
01
00
10
00
00
11
10
10
00
00
00
10
01
00
10
10
00
00
00
00
01
10
00
00
01
00
01
10
11
10
10
10
01
00
11
01
10
11
00
01
01
10
00
10
10
00
10
01
10
01
10
01
00
11
00
00
00
01
01
00
00
11
00
10
01
10
11
00
01
11
11
10
10
00
00
01
11
10
01
10
11
01
01
10
00
01
11
00
10
01
00
00
10
11
00
11
10
00
00
11
10
11
10
00
11
00
10
00
10
00
00
10
11
01
11
11
00
10
11
11
10
10
00
01
01
10
10
01
10
11
01
01
10
10
00
01
00
10
10
00
00
11
01
00
01
00
10
11
00
11
01
11
11
10
11
00
00
10
11
00
00
10
10
11
11
00
00
01
01
00
10
10
00
00
00
10
11
11
11
00
10
10
00
11
00
11
11
00
10
10
01
10
11
00
10
01
10
10
11
00
00
01
11
10
00
10
10
11
00
11
00
01
10
10
00
00
00
11
00
00
00
10
10
10
00
10
11
10
11
10
10
10
00
11
10
00
00
01
10
10
11
10
00
00
11
11
10
00
01
01
11
10
11
00
01
10
11
01
00
01
10
00
00
01
10
11
00
01
00
11
10
00
00
10
11
00
00
10
00
10
00
10
10
00
01
10
00
11
00
00
10
00
11
11
10
00
10
00
10
11
00
10
10
00
10
11
00
11
00
01
01
10
00
10
00
00
01
10
01
10
11
11
00
10
10
00
00
11
11
10
10
01
10
10
00
00
10
01
01
10
10
10
10
00
01
11
10
01
00
11
00
00
10
10
10
00
00
10
01
00
10
10
01
00
00
10
11
10
10
00
00
01
00
11
11
10
01
01
10
01
11
00
10
01
01
11
00
01
11
11
01
11
10
01
00
11
10
11
00
10
00
00
00
10
11
00
10
11
10
10
10
11
00
00
11
00
11
00
10
10
00
00
11
00
00
11
01
01
11
01
10
00
00
10
01
01
10
10
00
10
11
10
00
00
10
10
10
00
11
10
01
01
00
00
00
00
00
00
11
10
00
00
00
01
10
11
10
00
00
00
10
00
00
10
10
00
10
10
10
10
00
10
01
00
10
10
11
10
10
01
11
11
10
00
10
00
00
10
00
10
10
01
01
00
01
10
00
10
10
00
11
11
00
10
10
00
11
00
10
00
00
10
10
00
01
10
01
10
00
11
10
10
00
01
10
01
01
10
00
00
11
00
10
10
00
01
10
11
00
01
10
11
11
00
10
00
00
10
11
00
10
10
11
10
00
10
00
10
00
11
10
00
01
10
00
10
00
11
01
10
00
01
10
10
10
10
01
00
10
00
11
00
10
10
10
10
10
10
00
00
10
00
00
10
00
01
10
10
10
10
00
00
01
10
10
11
11
00
01
00
01
11
11
00
11
10
00
00
10
01
10
11
00
10
10
01
00
11
00
00
10
01
00
01
00
00
01
11
00
00
10
01
11
10
00
01
00
01
10
10
00
00
10
10
00
00
10
10
10
01
10
01
11
01
11
10
00
10
00
11
00
00
10
10
11
11
00
11
10
00
00
00
11
10
00
00
00
11
10
10
01
00
00
01
01
11
10
11
00
11
00
11
10
00
11
10
11
01
11
01
11
10
10
10
10
01
01
11
11
10
10
00
10
10
01
01
11
00
10
11
01
00
00
11
10
10
11
01
01
01
00
00
01
01
11
10
01
11
10
10
11
10
00
10
00
00
10
01
10
10
10
11
00
00
00
00
00
00
00
10
01
00
01
01
10
10
01
10
10
00
00
00
11
00
00
10
10
00
11
10
01
11
10
10
01
00
10
00
00
10
10
00
10
10
10
11
00
01
01
10
00
00
11
10
10
11
11
00
11
01
00
01
00
11
10
10
01
00
11
10
00
01
11
01
00
00
00
11
11
10
10
01
00
10
00
01
11
01
10
10
00
00
00
10
01
00
10
10
00
01
10
00
00
10
11
11
00
00
00
00
10
00
10
10
10
01
00
10
10
01
00
11
00
11
00
00
11
00
11
10
10
01
01
00
00
11
10
00
00
10
00
10
10
00
01
10
10
10
00
10
10
10
01
01
10
00
10
10
00
11
10
10
11
00
10
00
10
00
01
01
01
11
10
10
10
10
10
10
01
00
10
11
11
00
11
01
10
11
00
01
01
10
11
10
01
01
10
00
00
10
01
00
10
11
11
10
01
01
10
01
01
11
00
10
01
10
10
00
10
11
10
10
10
10
10
10
00
00
00
11
00
10
01
10
01
10
01
00
00
10
10
00
00
11
10
11
10
00
00
11
00
10
00
01
01
01
10
10
11
10
00
00
00
10
11
10
01
10
00
01
10
00
10
01
10
00
10
10
00
10
10
11
10
01
00
00
10
01
11
10
00
00
00
00
00
00
01
11
10
10
11
01
01
10
10
00
11
00
00
01
10
10
00
10
10
10
10
00
10
11
01
01
00
01
00
00
11
11
10
00
00
00
11
00
00
10
10
00
00
00
11
11
10
00
01
10
01
11
00
01
00
10
00
00
10
00
10
10
01
10
01
10
10
00
01
10
00
00
11
10
00
00
10
11
00
01
10
00
11
00
00
10
10
00
00
11
11
00
10
10
00
10
01
01
01
11
11
00
01
10
10
11
00
00
10
00
01
10
10
11
11
00
10
01
11
10
00
10
00
01
10
10
00
00
10
10
01
10
00
00
10
11
11
11
00
00
01
11
01
01
10
01
10
11
00
10
11
00
01
01
00
11
00
00
01
01
10
00
00
00
10
11
10
00
01
10
01
01
11
10
11
01
11
11
01
00
00
11
10
11
11
00
00
00
10
10
01
10
10
11
01
01
01
11
01
11
10
10
00
00
10
10
01
01
11
11
11
11
10
00
01
01
00
11
01
10
10
00
11
10
10
01
00
10
11
00
10
01
00
10
00
10
00
10
11
00
10
10
11
10
10
10
00
10
11
00
10
00
00
11
00
10
00
00
11
10
00
10
11
01
00
10
01
00
00
11
10
01
10
10
00
11
11
11
01
00
00
00
10
00
01
10
10
11
01
11
00
10
10
00
01
10
01
00
11
01
00
11
00
01
10
10
00
00
01
11
00
11
10
00
10
00
00
10
00
00
00
10
00
00
01
00
00
01
10
01
00
10
11
00
00
10
01
00
01
00
11
10
01
10
01
01
11
01
00
00
10
00
00
01
11
00
00
00
00
00
00
00
10
01
01
11
11
01
00
11
10
01
00
10
11
01
10
10
00
10
11
00
11
11
00
00
10
10
11
00
00
10
10
10
10
01
00
10
00
00
10
10
01
00
01
10
10
11
10
10
01
00
11
11
00
10
10
10
00
01
11
00
01
10
10
00
00
10
00
11
10
00
01
00
11
10
01
01
11
11
00
10
10
00
00
00
11
10
00
00
01
10
10
00
00
10
11
11
01
00
00
00
10
11
10
11
01
00
10
10
10
00
10
01
01
10
10
01
00
01
10
10
10
10
00
00
01
10
00
01
11
00
00
10
10
00
01
10
01
00
10
00
10
00
00
10
11
11
10
00
00
01
00
10
10
01
00
11
10
00
00
00
10
10
11
11
11
11
00
01
00
00
01
10
11
01
00
11
01
01
00
01
11
11
10
10
10
00
10
11
00
01
00
01
10
11
01
11
10
00
10
10
10
11
01
10
00
00
00
10
00
10
00
00
10
01
00
10
10
10
01
11
10
00
01
00
10
01
00
01
01
01
00
10
10
00
00
01
11
10
00
00
01
11
10
00
10
00
10
10
01
10
11
10
01
00
00
00
01
00
10
01
01
00
01
01
00
11
10
10
00
00
10
00
00
10
01
10
00
00
01
11
00
11
00
01
11
10
00
10
10
10
01
00
00
10
00
00
10
10
10
10
01
00
00
10
10
00
00
10
10
10
00
11
00
10
00
00
11
00
00
10
00
10
10
00
00
10
10
10
01
11
11
10
10
10
00
10
00
00
00
00
11
10
01
00
01
01
00
10
11
10
00
01
01
11
00
00
11
10
10
00
00
11
10
00
10
00
10
01
00
00
01
10
00
10
01
00
10
11
11
10
10
10
10
11
01
01
01
01
00
01
00
00
11
10
00
01
00
00
10
11
10
10
11
00
10
10
00
00
11
10
00
00
00
11
10
11
10
11
01
01
10
00
10
11
00
00
00
10
00
00
00
10
10
00
10
00
10
00
01
01
00
11
10
10
01
00
00
10
11
01
10
10
00
11
00
00
01
00
11
00
10
10
01
10
10
10
00
11
00
00
01
00
00
10
00
10
01
10
11
00
10
11
00
00
00
00
00
01
11
10
00
00
01
10
10
01
11
00
01
01
00
01
00
10
10
00
00
11
00
00
01
10
01
11
00
10
00
00
01
10
11
10
11
10
11
00
10
00
01
00
00
00
10
11
11
10
11
01
00
00
10
10
11
10
00
00
00
11
01
00
10
11
10
01
00
00
01
10
11
00
00
11
10
10
00
00
10
11
00
11
10
00
00
11
11
01
11
10
10
10
10
01
10
10
00
10
11
01
00
10
00
00
00
11
10
01
00
11
10
00
01
00
11
11
01
10
10
00
01
10
10
10
01
10
11
01
11
00
10
11
10
00
00
00
10
10
10
10
10
10
00
00
10
00
11
11
11
00
01
10
00
00
10
00
00
11
00
10
11
01
11
11
10
10
00
00
01
00
11
11
01
10
00
00
10
01
00
10
00
10
10
00
00
10
11
00
11
01
00
00
00
10
10
10
01
00
00
11
10
10
01
00
10
00
00
10
00
00
00
11
00
10
11
11
10
00
00
00
01
00
10
10
11
00
00
01
10
00
00
10
11
01
00
10
01
01
10
00
00
11
00
00
00
10
11
10
10
00
10
00
10
10
00
00
11
10
00
00
01
10
11
10
11
10
01
00
11
10
10
10
00
01
11
10
00
01
00
10
10
01
10
11
00
00
01
00
00
11
01
00
10
00
10
00
10
00
10
01
11
01
01
00
01
10
00
00
10
10
01
00
11
00
01
10
10
00
11
01
01
01
10
11
10
01
10
00
00
10
00
01
00
01
00
10
01
10
10
10
10
00
01
01
00
10
00
00
00
11
00
11
11
00
00
11
01
00
10
10
01
00
00
10
00
10
10
01
10
10
00
01
10
00
00
10
10
00
10
00
00
10
00
00
11
10
01
01
10
10
10
10
10
01
01
00
10
11
00
10
01
00
11
11
10
10
11
01
00
01
00
10
10
00
00
00
01
11
00
10
01
00
10
01
00
00
10
11
10
00
00
00
00
10
10
10
00
00
00
11
00
01
10
00
00
11
11
11
10
10
10
00
11
10
01
01
10
00
10
10
01
00
10
00
00
10
10
01
00
11
00
10
11
00
11
10
00
01
00
10
10
01
00
10
10
10
10
10
01
10
10
01
10
10
00
10
11
10
10
10
00
01
00
01
01
00
01
10
01
01
11
11
11
00
00
10
10
11
00
00
10
10
00
00
00
10
00
00
10
10
00
00
00
01
01
11
11
00
00
11
00
10
01
01
11
00
01
00
11
00
00
11
11
01
01
00
11
10
10
10
00
01
00
00
10
00
10
00
00
10
10
10
00
10
10
00
10
10
00
11
00
11
00
10
11
11
00
10
00
01
10
01
00
10
00
10
01
10
00
01
11
00
00
00
10
10
10
00
01
10
01
11
01
10
01
00
10
11
00
00
10
10
00
00
10
10
01
11
11
00
00
10
00
11
00
01
10
10
01
00
00
01
00
11
11
00
00
00
00
00
10
11
11
11
00
01
11
11
01
00
11
11
01
10
01
01
10
01
00
10
11
11
00
01
11
00
00
00
10
00
01
10
10
10
10
00
00
11
01
01
11
10
10
11
01
00
10
10
00
00
00
01
10
10
00
10
00
10
00
00
00
10
11
01
00
00
00
10
00
11
11
11
00
01
00
10
11
11
10
00
10
10
00
11
10
00
11
10
00
10
01
00
00
10
00
01
01
00
11
10
01
00
10
10
00
00
11
10
01
10
10
10
00
00
10
11
00
00
11
10
10
10
01
00
01
10
00
00
10
10
11
00
01
11
11
01
00
10
00
01
11
10
10
01
00
11
11
10
00
10
00
01
01
01
00
10
01
10
11
10
01
01
01
00
10
10
10
10
01
10
00
10
10
11
00
10
00
00
11
10
10
00
01
11
11
11
01
11
11
10
00
00
00
10
11
00
11
10
11
00
10
10
10
00
00
00
10
10
00
00
10
11
00
10
10
00
00
11
10
00
00
11
10
00
11
01
01
11
11
01
10
11
11
00
00
10
10
10
00
01
11
10
10
00
00
10
11
11
00
00
01
00
11
11
10
01
00
00
00
01
10
00
10
10
11
00
01
10
11
00
10
10
10
10
10
00
01
01
10
00
00
10
10
00
10
10
00
00
01
10
10
00
00
10
10
01
00
00
11
00
00
00
00
10
10
11
11
00
11
10
00
10
11
00
10
10
00
00
10
10
10
01
10
10
10
10
00
10
11
00
00
10
11
10
10
00
00
00
00
00
11
00
11
00
00
10
10
00
00
00
11
10
00
00
11
00
01
11
00
00
11
10
00
00
00
00
11
00
10
11
01
11
00
10
10
10
10
00
00
11
01
10
01
00
10
00
00
10
11
00
00
00
10
10
10
11
00
00
00
10
10
01
00
01
11
00
01
10
10
00
00
10
00
11
10
01
00
11
10
00
10
11
00
00
11
10
11
00
10
01
11
01
00
11
10
00
00
01
01
01
00
10
01
10
00
00
10
10
11
00
11
01
00
10
10
01
01
11
10
11
00
00
01
10
11
01
01
10
11
00
10
00
01
10
10
10
00
00
00
00
00
10
10
11
00
00
00
00
10
10
00
01
10
00
10
10
01
00
10
01
10
11
10
01
01
10
11
10
00
00
00
00
10
10
01
10
01
00
11
00
01
11
11
10
00
10
11
10
10
00
01
00
11
01
10
10
11
11
01
01
10
10
01
00
01
00
10
10
10
00
00
00
10
10
10
10
00
11
00
11
10
01
00
00
01
00
01
00
00
11
00
10
10
11
01
10
10
00
00
10
10
00
01
00
11
10
10
01
11
10
00
10
11
10
00
10
11
01
00
10
10
10
10
11
00
00
01
00
10
10
10
10
10
11
00
01
10
01
10
11
01
01
01
10
00
00
00
11
00
00
10
00
10
11
11
10
11
01
10
00
11
10
01
01
10
11
10
01
10
10
01
00
00
11
11
11
10
00
10
00
00
00
01
10
01
10
00
10
10
01
10
01
10
11
01
00
11
00
00
11
10
10
11
00
00
00
00
10
01
10
10
11
11
11
11
01
01
00
11
01
11
00
00
11
10
10
11
01
01
11
10
00
10
01
11
00
01
10
11
10
00
01
00
10
10
10
00
10
00
10
11
00
01
10
11
00
01
00
11
00
01
10
10
10
10
10
00
01
10
10
10
10
00
00
00
10
00
10
10
00
00
11
00
00
00
10
10
11
10
00
00
10
00
11
00
10
00
10
01
00
10
10
11
00
10
10
00
00
10
10
00
00
00
10
10
00
10
00
00
00
00
00
10
11
10
00
01
11
11
00
00
10
00
10
10
00
01
10
10
00
10
10
00
01
11
00
00
11
11
01
11
00
01
10
11
00
10
11
10
11
10
10
00
00
01
01
11
10
10
01
10
10
00
10
11
00
00
10
11
00
10
11
00
01
10
10
01
10
01
01
10
11
11
00
00
01
10
10
11
11
10
00
01
10
10
11
00
00
10
00
01
00
10
10
00
00
00
10
10
10
00
10
10
00
10
00
10
10
10
00
01
00
00
01
11
01
11
00
10
11
00
00
10
01
00
10
00
00
00
01
00
10
00
00
00
10
10
01
01
00
11
00
10
00
00
00
01
10
10
10
00
10
00
11
00
11
00
10
00
00
00
10
10
00
11
10
01
00
11
00
00
00
10
01
00
10
10
01
00
01
00
10
00
00
10
10
00
10
01
11
01
10
11
01
10
11
00
01
10
11
00
00
11
11
00
11
00
01
11
10
01
01
10
11
00
01
00
10
10
10
10
00
11
10
10
00
00
01
01
10
00
00
00
00
00
01
10
11
10
10
11
00
00
11
11
11
01
11
00
00
10
00
10
10
10
00
10
00
00
11
00
00
10
00
00
10
10
00
01
10
11
00
10
00
11
11
00
00
11
00
10
10
01
00
10
10
01
10
00
00
10
10
00
11
10
01
10
01
01
00
00
01
10
11
10
01
10
10
00
01
10
10
00
10
00
10
10
00
10
00
01
10
11
00
00
00
01
10
10
10
00
00
00
11
11
01
10
10
00
10
11
10
00
00
10
10
00
00
00
10
01
11
00
00
10
01
00
10
11
10
10
00
10
10
10
01
00
00
10
11
10
11
10
10
11
10
00
10
00
01
00
01
00
11
10
00
10
11
00
00
00
01
00
10
10
00
10
00
01
01
10
00
00
00
01
11
00
10
00
00
00
10
11
01
01
00
11
10
10
10
00
10
10
10
00
01
00
01
00
01
10
11
00
00
10
11
00
00
10
10
01
10
00
00
00
10
01
10
00
00
10
10
11
10
01
10
00
01
11
10
10
00
01
10
00
00
11
00
00
01
00
10
11
00
01
00
10
01
00
10
10
01
11
10
01
00
11
10
00
00
10
00
00
10
10
10
00
00
00
01
10
00
10
10
10
00
01
10
01
00
01
10
11
10
11
00
11
00
01
10
11
11
10
00
10
00
01
11
11
01
10
10
00
11
00
11
00
01
01
11
00
00
10
01
00
10
10
01
10
00
10
10
11
10
00
01
00
10
00
01
10
01
00
00
11
01
01
00
10
10
01
10
01
00
10
10
00
10
10
00
00
10
10
11
00
11
10
10
00
00
10
00
10
10
00
01
11
00
11
00
11
01
11
11
00
11
11
00
01
01
10
11
10
10
00
10
10
10
00
10
11
10
00
10
00
01
00
11
00
10
00
10
10
11
11
00
00
10
00
11
10
10
11
00
10
00
01
10
11
10
00
00
10
10
11
00
01
01
11
10
01
00
00
01
00
11
11
10
11
00
00
11
10
00
10
00
10
10
10
00
10
00
10
01
00
10
01
01
10
01
10
11
10
10
00
10
11
00
10
00
00
11
10
00
00
01
10
00
11
11
00
10
01
00
00
10
10
01
00
10
11
00
11
00
00
10
11
00
10
11
00
01
11
00
01
00
10
01
11
11
00
00
11
10
10
10
00
00
10
00
01
10
10
10
00
01
10
10
10
01
11
11
10
00
10
10
01
11
00
10
00
00
00
01
11
00
10
00
00
11
10
10
10
00
00
10
00
01
11
10
01
11
10
10
01
00
00
10
10
11
00
00
10
00
11
10
00
00
01
10
10
10
10
11
00
10
00
10
00
00
10
10
01
01
10
10
00
10
11
00
11
10
10
00
10
00
00
10
11
00
00
10
11
10
01
00
00
00
11
01
00
00
10
10
10
01
01
10
10
11
10
10
00
00
11
10
01
10
01
01
10
01
11
11
01
00
10
10
11
00
11
10
00
11
00
00
00
01
11
01
11
10
10
01
00
01
10
11
00
00
11
00
00
10
00
11
10
01
01
11
00
01
10
11
10
10
01
00
10
00
10
10
10
01
11
10
00
10
10
01
00
11
10
10
01
11
11
00
00
10
00
00
10
11
00
00
10
01
00
01
00
11
10
01
01
01
00
00
00
10
11
00
10
10
10
01
10
10
00
00
11
01
11
00
11
10
10
11
00
11
10
00
00
11
11
10
10
00
00
10
00
10
10
01
00
00
01
11
01
10
00
10
00
00
10
10
10
00
01
10
00
00
00
10
10
10
11
11
00
01
11
10
01
11
11
01
11
10
00
10
00
10
10
01
00
10
11
10
01
11
01
11
00
00
10
00
00
10
10
01
10
11
01
10
10
00
10
11
01
11
01
00
01
11
00
00
10
00
00
10
10
10
01
00
01
11
00
11
10
00
00
01
10
10
00
00
10
00
01
00
00
00
00
10
10
10
00
10
10
10
00
01
00
11
11
00
00
00
10
00
10
11
10
10
00
01
10
00
01
00
00
00
00
01
00
10
10
01
00
00
10
00
00
10
10
11
00
00
10
11
00
01
00
00
11
00
11
10
00
00
01
10
11
00
10
00
00
11
10
11
01
10
00
10
01
00
10
11
00
00
11
00
10
00
01
00
01
10
00
11
10
01
10
00
00
10
00
10
11
00
11
00
01
10
11
10
11
11
01
00
10
00
10
01
01
11
10
00
00
00
10
10
00
01
11
10
01
10
10
11
01
10
00
00
10
00
00
10
10
00
00
10
01
10
10
00
01
10
10
10
01
10
10
01
00
01
00
01
00
10
11
00
00
11
10
10
10
10
01
11
00
00
11
00
00
00
00
10
00
10
00
10
10
00
10
11
10
01
01
01
00
01
00
00
00
10
10
01
11
11
10
11
10
10
01
01
00
10
10
00
00
01
01
10
00
10
00
00
00
10
10
00
11
10
00
01
10
11
10
00
01
00
10
10
00
00
00
00
11
01
00
10
11
10
01
00
01
00
00
01
11
10
01
10
10
11
00
00
00
10
11
00
11
01
00
10
11
10
01
10
10
01
01
10
00
01
10
10
01
01
10
11
00
11
10
01
01
10
10
00
10
10
11
00
10
00
00
00
00
00
11
11
11
10
00
00
01
00
11
00
00
10
01
00
10
11
10
00
00
11
00
10
10
00
00
10
10
00
10
01
10
11
00
00
01
10
10
10
10
10
10
00
00
11
01
10
11
00
10
00
00
11
00
00
10
00
00
00
00
11
11
00
01
00
01
11
00
00
00
01
00
00
10
10
11
00
00
11
11
10
00
10
01
00
01
00
00
11
00
11
10
10
10
00
00
00
00
11
01
11
10
10
10
10
10
10
00
10
00
01
01
00
01
00
01
10
01
01
10
11
00
10
01
00
10
00
11
01
11
10
11
01
10
11
01
00
11
01
00
10
11
00
10
10
00
00
10
00
10
11
10
11
01
00
11
10
10
11
01
00
10
11
01
11
00
00
01
00
11
10
10
01
01
10
11
00
00
00
10
00
10
01
01
10
10
11
01
01
00
11
00
00
00
11
10
01
10
01
00
10
10
10
00
00
00
10
10
00
10
00
11
00
00
00
00
00
11
00
11
00
01
10
00
00
00
00
11
11
01
10
11
01
00
00
10
11
00
00
10
10
10
11
00
01
10
01
00
00
11
00
00
01
01
10
11
00
10
11
11
00
10
10
00
10
00
10
01
11
00
01
11
00
00
11
10
11
01
00
00
11
00
01
11
00
11
01
00
10
00
00
11
10
00
10
10
00
00
10
10
01
11
00
11
00
01
00
11
10
11
10
10
10
00
11
00
01
10
01
00
10
10
00
01
01
01
01
11
00
10
11
10
10
01
00
10
00
01
11
10
00
11
10
10
10
00
00
10
00
11
10
00
11
00
00
00
00
11
11
00
00
01
10
11
10
01
11
11
10
00
00
10
01
00
00
10
01
00
10
10
10
10
01
00
11
10
00
00
10
00
10
01
01
10
00
11
10
01
01
10
10
10
10
00
10
01
00
10
00
00
11
11
11
01
10
11
00
00
10
00
10
00
10
11
00
00
00
00
10
00
01
10
10
11
00
00
11
01
11
00
01
10
11
00
01
10
00
10
11
10
00
01
11
11
00
11
00
00
10
10
11
10
11
00
11
00
00
10
10
01
10
10
01
00
01
11
10
01
01
11
00
00
10
10
01
00
10
00
01
10
00
10
10
00
00
10
01
11
00
11
10
11
01
01
11
01
00
11
11
00
00
10
11
00
00
11
01
00
10
10
00
10
10
00
11
11
10
01
10
00
10
11
01
10
00
01
10
01
10
01
11
00
10
10
00
00
10
00
00
10
10
10
00
10
01
10
11
01
10
10
01
10
11
10
00
01
00
11
11
00
00
10
00
10
00
11
00
10
00
00
10
01
00
00
00
00
00
11
00
10
11
01
11
10
00
01
10
00
01
10
10
10
00
01
11
01
10
10
10
11
10
01
00
10
00
00
10
00
00
10
00
00
11
11
00
10
01
00
10
00
11
00
00
10
01
10
10
00
00
00
00
01
00
10
10
10
00
10
00
11
00
01
11
00
00
00
11
00
01
10
00
00
00
10
10
11
00
00
00
01
10
11
01
10
00
10
00
00
10
10
10
10
00
10
00
01
11
00
11
00
10
00
00
00
10
00
00
11
10
11
10
10
10
00
00
10
10
00
00
11
11
00
11
01
10
11
01
10
11
10
00
00
10
00
10
11
10
10
00
00
01
00
00
10
00
10
01
00
11
00
00
11
00
00
10
10
10
10
11
00
11
10
10
00
00
01
00
01
11
01
01
00
00
10
00
01
01
00
10
10
01
01
00
00
10
10
10
10
10
10
10
11
10
11
00
01
10
10
01
00
11
10
00
00
00
10
11
10
01
00
10
01
00
11
11
00
01
11
10
00
10
01
11
11
11
10
10
01
01
00
10
00
00
11
00
01
10
10
00
10
00
10
00
01
10
01
00
00
11
01
00
01
10
01
00
11
00
10
01
10
00
11
01
00
10
00
01
00
10
01
01
10
01
01
10
10
00
01
01
00
11
10
00
10
10
00
10
10
11
00
00
00
10
01
10
10
00
11
11
01
01
11
01
11
10
00
01
11
11
10
00
10
00
00
10
01
00
10
10
00
10
10
11
11
00
00
00
10
00
10
10
00
00
00
01
10
11
10
00
00
11
11
00
11
10
01
11
00
01
11
11
10
00
00
01
10
11
10
00
01
00
00
11
01
00
00
10
00
00
00
10
10
10
11
00
01
00
10
10
01
00
10
10
00
00
00
01
00
00
10
10
00
10
01
00
01
00
01
11
11
01
00
00
10
00
00
10
10
11
01
11
11
10
10
00
00
11
01
01
11
01
00
01
10
11
00
11
10
10
10
00
00
00
10
11
11
00
00
01
00
01
00
10
11
10
00
00
01
11
10
00
00
00
11
00
11
01
00
00
00
10
00
01
10
01
10
10
11
01
10
10
00
01
11
01
00
11
10
00
00
10
10
00
00
10
00
00
01
01
01
00
10
00
10
10
11
10
00
00
00
00
01
11
00
00
10
00
00
01
00
11
10
00
10
00
01
10
00
00
00
10
01
00
11
01
01
01
10
11
00
10
11
10
01
10
10
01
10
10
10
11
00
11
11
01
01
10
11
10
00
00
00
11
11
01
00
00
00
11
10
00
10
11
00
11
10
01
00
11
00
00
11
10
10
10
00
01
00
10
01
10
01
01
11
10
10
00
10
00
00
10
01
10
10
00
10
00
00
10
10
00
11
10
01
10
11
10
11
01
10
01
10
10
00
00
11
01
10
11
11
01
00
01
11
10
10
00
10
10
00
00
01
10
11
00
10
11
10
00
00
10
10
00
11
10
00
10
11
01
11
00
01
10
11
10
10
00
00
10
11
10
01
10
10
00
00
01
11
00
11
01
10
11
10
11
10
00
00
11
10
10
10
00
01
11
10
01
00
00
11
10
10
10
01
11
00
01
01
11
00
11
10
00
10
01
10
10
00
10
00
11
00
00
11
10
01
00
01
10
00
10
01
00
10
10
11
00
11
10
00
00
00
11
10
11
00
11
10
10
11
00
00
10
10
01
00
00
10
11
11
00
00
10
01
10
10
01
10
00
01
11
10
10
00
11
10
00
01
10
10
00
00
11
00
00
10
00
11
00
00
10
11
10
00
10
11
10
11
00
00
10
00
10
00
11
10
00
00
10
11
11
10
10
00
10
11
01
01
01
10
11
10
01
00
11
00
00
11
11
00
00
11
10
11
10
00
01
11
00
10
10
01
10
10
00
10
10
11
11
01
11
11
01
01
00
00
10
10
10
01
00
10
10
00
11
11
10
11
00
00
11
00
10
11
00
01
00
00
00
00
01
00
10
11
00
01
10
01
10
00
10
00
00
10
10
10
10
00
10
10
10
00
01
01
00
10
10
00
10
11
00
00
01
01
10
11
10
00
10
00
00
10
01
01
10
01
10
00
00
10
10
10
00
00
00
10
00
00
01
11
11
00
11
10
10
00
00
00
10
10
01
10
00
00
00
00
10
11
01
00
00
00
00
00
01
00
11
10
00
00
10
11
10
01
10
10
10
10
00
10
01
01
00
10
00
10
10
01
00
10
01
11
00
00
10
10
10
11
11
00
00
00
00
00
01
10
11
10
00
10
00
11
11
01
00
00
10
00
10
11
10
01
10
11
11
10
01
01
10
00
00
10
10
00
00
01
10
10
00
10
00
11
10
00
01
11
10
10
01
01
11
10
10
01
01
10
11
10
01
00
11
11
10
01
01
00
10
11
00
10
10
00
10
11
01
10
10
01
00
01
01
00
01
10
00
10
00
10
00
11
00
11
00
00
00
10
00
11
10
10
11
00
00
00
00
00
00
01
00
01
10
11
00
11
00
01
10
00
10
00
10
10
10
00
10
11
00
11
11
11
00
00
10
11
10
01
10
00
10
11
10
11
10
01
10
00
10
10
00
00
00
10
10
00
00
00
10
01
01
11
01
01
10
10
01
00
10
11
01
00
10
11
10
10
10
11
11
10
00
00
00
01
11
00
01
01
10
10
01
10
10
00
01
10
11
00
01
10
10
01
00
00
10
11
10
10
10
11
00
00
10
10
00
00
11
00
10
10
10
10
10
00
00
10
11
10
10
01
10
00
00
01
00
00
00
11
01
00
01
00
10
00
10
10
11
10
00
01
10
01
11
11
11
11
00
01
00
10
01
00
10
10
11
00
00
01
10
10
00
10
00
11
10
00
00
10
10
11
10
10
10
01
00
10
11
00
10
10
10
00
11
10
10
00
00
11
00
10
10
10
10
00
01
10
11
11
00
00
11
01
01
00
11
11
11
11
11
00
01
01
11
00
00
11
11
00
00
00
11
10
00
00
01
11
00
10
00
10
00
10
01
10
10
00
11
00
10
10
00
00
00
11
10
10
00
10
10
01
10
10
01
10
00
00
10
10
01
10
10
00
00
00
00
11
10
11
01
11
00
00
10
10
01
00
11
11
11
11
01
10
00
01
10
10
01
00
00
00
10
10
00
10
00
10
00
10
10
01
11
01
10
01
10
00
00
11
11
10
00
00
00
11
01
00
11
00
01
00
01
11
00
00
01
01
00
01
10
11
11
00
00
01
00
10
00
01
01
00
01
10
10
10
10
10
00
10
10
00
00
01
10
01
11
01
10
10
10
10
11
00
01
01
11
00
00
10
10
00
01
10
10
00
10
10
10
00
00
11
00
01
10
10
01
01
00
00
10
00
00
00
01
10
11
00
10
01
11
11
00
11
11
11
00
00
11
10
10
00
00
00
10
11
01
11
11
10
00
10
10
00
00
10
00
00
00
01
10
11
11
00
11
01
10
00
11
11
11
01
00
10
00
00
10
11
01
00
10
00
01
11
11
01
00
11
11
11
00
10
10
10
11
00
00
01
00
00
10
00
10
00
01
10
00
10
10
00
00
11
00
10
10
01
00
11
00
10
10
01
00
00
10
11
10
10
01
11
01
00
10
00
11
11
00
00
00
11
11
00
11
10
01
01
10
10
11
00
00
10
01
10
10
00
11
00
00
00
10
00
00
00
00
00
10
10
01
11
11
01
11
10
11
11
11
00
00
11
00
10
11
00
10
10
00
10
00
00
10
00
10
00
00
10
00
01
10
10
00
01
10
10
00
00
00
01
10
11
10
01
10
10
00
10
10
01
00
00
00
10
11
01
10
10
10
11
00
10
10
00
00
10
10
01
01
11
00
00
01
10
11
11
10
00
10
00
00
10
10
00
00
10
01
00
00
11
11
10
11
10
00
10
00
00
10
10
00
00
10
10
00
00
10
11
00
11
10
10
11
10
00
11
00
00
01
10
10
00
10
01
10
11
00
01
10
10
00
10
00
10
00
01
10
11
11
11
01
00
01
01
10
01
01
10
00
01
10
10
01
01
11
01
11
00
00
10
10
01
00
11
11
01
00
11
11
00
00
10
11
11
10
01
01
10
00
11
10
00
00
10
10
10
10
01
00
10
00
10
11
00
01
10
11
00
11
10
00
01
10
00
00
10
11
01
10
10
11
00
10
10
00
10
10
01
00
00
11
11
00
00
10
10
01
10
00
00
11
11
00
10
10
11
10
00
00
11
11
00
10
00
01
10
10
01
10
10
10
00
00
10
01
10
10
10
00
01
10
10
11
00
00
01
00
01
10
01
10
00
10
10
11
10
10
00
01
11
01
01
11
01
10
00
00
10
10
00
00
11
00
10
11
00
00
00
10
00
10
11
11
10
11
11
11
01
00
10
10
00
00
00
10
10
00
00
00
01
01
11
11
00
01
10
11
00
00
10
10
00
01
10
10
00
10
00
00
10
01
10
10
10
00
11
10
10
00
01
10
00
01
11
10
01
11
10
10
00
00
00
00
10
10
00
00
01
00
11
10
01
11
10
10
11
00
00
00
11
00
00
10
11
10
10
01
00
01
10
10
00
00
01
01
11
11
10
10
10
00
00
01
10
10
01
00
01
10
01
00
00
10
11
00
10
00
00
00
01
00
10
10
00
10
11
11
01
01
10
11
00
11
10
10
00
01
11
01
00
10
00
01
01
10
11
10
00
10
01
01
10
00
01
00
10
00
00
10
00
00
10
00
10
00
10
10
11
10
01
10
10
00
10
00
00
00
00
10
01
00
00
01
01
00
11
11
11
00
10
00
01
00
11
10
01
00
11
10
00
00
10
10
00
00
10
00
01
10
01
10
00
00
01
00
10
00
00
10
11
01
00
00
00
10
11
01
00
10
00
00
01
01
10
11
01
00
10
10
01
00
01
10
00
11
01
00
00
00
10
11
00
10
10
11
10
11
11
01
00
01
00
11
10
00
00
11
10
10
11
01
10
10
00
10
00
10
10
01
11
11
00
00
11
10
10
11
11
01
01
10
00
10
00
00
00
11
11
00
10
00
11
10
01
01
00
11
10
10
10
00
00
00
10
10
00
11
00
00
10
11
00
11
00
11
01
00
11
00
01
11
10
00
00
10
11
00
00
11
11
00
00
00
10
00
11
10
01
01
00
00
00
10
11
00
10
10
11
00
10
11
00
00
00
11
00
00
10
01
10
00
01
11
00
10
10
10
10
11
00
00
11
10
10
10
01
10
10
00
10
01
10
01
10
10
11
00
00
10
00
00
10
01
00
10
00
11
01
11
11
00
00
10
10
10
11
00
00
00
10
11
10
10
10
10
01
00
11
00
01
10
00
10
00
01
00
10
01
00
01
10
00
00
00
00
00
10
10
10
00
11
10
00
00
01
00
11
10
00
10
10
10
11
11
01
01
11
10
00
11
10
00
01
11
10
10
00
11
00
01
01
10
00
11
01
01
11
11
00
01
10
11
01
01
10
00
01
11
11
01
01
10
00
00
10
00
01
11
11
00
10
00
10
11
10
10
00
10
00
11
00
00
00
11
00
00
10
11
10
10
00
00
00
00
00
00
00
11
10
10
00
01
00
00
00
10
11
00
11
10
11
00
00
00
01
01
01
10
10
00
10
00
00
11
01
00
10
10
10
01
00
11
00
00
11
10
00
01
10
10
00
01
10
01
00
10
10
01
00
00
10
10
11
11
10
01
01
10
00
01
10
01
10
11
01
00
10
10
11
00
00
10
10
01
11
00
10
00
01
11
00
01
10
10
01
00
10
01
10
11
00
00
00
01
00
00
01
10
01
11
11
11
10
00
01
01
10
01
00
11
01
11
00
00
00
10
10
01
00
11
10
01
01
00
01
10
11
00
10
11
10
00
01
00
10
11
01
11
11
00
00
10
01
00
11
10
10
00
10
11
11
01
00
11
01
11
01
00
01
10
11
11
10
00
00
10
10
00
00
10
00
00
11
11
01
00
10
01
10
10
01
10
10
00
00
10
01
00
00
10
11
01
00
10
00
00
10
10
11
10
11
10
10
00
10
01
10
01
00
10
10
00
01
00
10
10
10
10
00
11
11
01
10
11
00
10
11
00
00
11
10
01
10
10
00
00
11
10
01
10
00
00
00
01
11
00
00
00
01
00
01
01
10
11
00
00
10
11
00
10
00
00
00
10
10
00
11
11
01
10
01
10
01
10
10
00
00
01
10
11
00
10
10
00
00
00
11
11
00
11
10
10
00
00
10
00
00
10
10
00
01
10
00
01
10
00
01
11
10
10
00
01
00
00
10
11
10
00
00
01
00
01
01
10
00
00
01
10
00
01
10
10
01
10
01
11
00
11
01
00
11
10
00
00
10
10
01
11
11
11
00
00
00
01
00
10
00
01
00
10
10
10
01
01
11
10
01
00
11
10
01
10
11
10
10
00
01
00
10
11
10
00
11
01
00
00
11
10
01
10
11
00
00
11
10
00
01
00
10
00
00
00
01
01
00
11
00
00
00
00
10
10
01
01
11
11
01
11
11
00
01
11
10
11
00
00
10
10
01
00
11
11
10
10
01
10
00
01
11
11
00
01
01
00
11
00
10
11
11
00
10
11
00
00
00
10
10
01
10
00
00
10
00
01
11
10
00
01
00
01
00
10
11
00
10
01
00
10
10
10
00
00
10
01
00
10
00
10
00
01
10
01
00
10
11
11
01
00
01
10
01
01
11
00
00
10
11
00
10
10
00
01
00
10
10
01
00
00
00
00
00
00
10
10
11
00
10
10
01
00
00
01
00
10
00
01
00
00
10
10
10
00
10
10
10
00
01
00
01
00
10
01
00
00
10
00
10
11
00
00
10
10
01
00
11
10
01
01
11
10
10
00
00
01
00
01
10
00
10
10
01
10
10
00
10
10
00
00
00
11
01
10
11
10
10
00
00
10
11
00
00
10
00
01
00
00
10
10
00
00
11
00
00
10
10
00
10
00
00
10
10
11
01
10
00
10
11
11
01
00
10
11
01
00
10
00
00
00
00
10
00
10
10
10
00
11
00
10
01
10
10
10
10
01
00
01
00
01
11
00
11
01
00
11
10
00
10
00
00
11
10
00
11
01
11
10
01
00
10
11
00
10
00
00
11
10
01
11
11
00
01
10
11
00
00
11
11
01
10
00
00
01
10
11
10
10
00
01
11
10
11
00
01
10
11
10
00
00
01
00
00
01
11
11
10
00
00
00
11
10
10
01
11
10
00
01
00
00
10
10
11
10
11
01
00
10
00
10
10
00
00
00
11
10
11
00
00
10
10
00
10
00
00
10
01
00
11
10
01
10
00
10
11
00
01
00
10
11
00
10
10
01
00
11
10
10
01
00
00
11
00
00
00
00
10
00
00
00
11
01
10
11
10
00
01
10
00
11
00
10
10
11
00
11
01
00
00
00
10
00
10
11
10
01
00
11
00
01
01
01
00
11
10
00
10
10
10
10
11
00
01
10
01
00
10
10
00
00
10
01
01
00
00
11
11
01
10
00
11
10
10
10
00
00
00
00
10
11
00
11
10
00
10
10
11
00
01
11
00
10
00
00
10
00
00
01
11
00
11
00
00
00
10
10
00
11
11
10
00
01
00
00
10
00
10
00
10
10
01
00
00
00
01
00
00
10
10
00
01
01
10
00
00
10
10
10
00
00
10
10
00
10
00
01
11
00
10
01
10
11
10
10
01
00
10
00
00
01
00
11
10
00
01
11
10
01
11
10
00
10
10
01
00
11
00
00
00
10
11
10
01
00
00
10
11
01
10
01
01
11
00
01
01
10
11
00
00
11
00
01
11
01
01
00
10
11
01
00
00
01
10
00
01
00
10
01
00
10
10
01
10
00
01
10
11
00
11
01
00
10
01
10
00
10
10
10
01
00
10
10
00
10
00
00
10
10
00
00
00
10
00
11
00
01
11
10
00
00
10
00
10
10
10
01
00
11
00
11
10
00
00
10
00
01
01
10
01
01
10
01
00
10
00
11
10
01
10
00
10
00
01
10
01
10
00
00
11
10
10
00
01
00
10
10
10
10
01
00
10
10
00
00
00
11
10
11
00
01
11
10
00
00
10
10
10
01
01
00
11
00
10
00
00
10
01
00
11
01
00
10
00
10
11
10
00
00
10
10
00
10
00
00
10
00
00
11
11
00
11
00
10
10
10
01
11
10
00
10
10
00
01
11
01
01
10
10
01
00
00
01
11
11
00
00
00
11
11
01
10
10
00
00
10
00
10
11
00
00
11
00
10
00
01
11
11
11
10
00
00
00
00
00
10
10
01
10
11
10
00
10
01
00
00
11
10
00
10
00
10
11
10
01
00
10
10
00
01
10
00
00
00
11
10
01
00
11
00
00
11
11
10
01
10
00
01
00
00
10
00
00
10
01
01
00
00
10
01
01
01
10
10
01
00
11
10
01
00
01
01
11
10
10
10
10
01
00
10
11
10
00
10
11
00
10
11
00
11
10
10
10
10
10
01
10
11
10
00
11
10
00
10
11
00
10
10
10
01
00
00
10
11
10
00
10
10
11
01
01
10
00
00
00
10
00
10
11
00
00
00
11
00
10
01
00
10
00
00
10
00
00
10
01
11
10
00
10
00
10
01
00
00
01
10
10
11
01
01
00
11
10
10
01
00
00
10
00
10
00
00
01
10
10
11
11
01
10
01
01
01
10
10
01
00
00
10
00
00
00
11
10
01
10
10
00
00
01
00
00
10
00
11
10
00
01
00
01
00
10
10
01
01
10
10
00
00
11
10
10
10
00
00
10
10
00
00
00
11
11
00
10
10
10
00
11
01
10
11
10
00
01
01
01
00
10
10
10
10
00
00
10
10
01
10
11
10
10
00
10
00
10
11
00
10
01
01
01
11
10
01
11
01
00
10
11
11
01
10
10
00
00
10
00
01
10
10
10
11
00
00
11
00
10
10
10
10
10
11
00
10
10
00
10
01
10
00
00
11
00
10
01
00
10
11
10
10
01
00
11
00
11
00
10
10
10
10
10
11
00
10
00
00
00
01
10
01
01
10
00
10
10
11
11
00
10
10
10
00
01
10
00
00
11
11
00
11
00
01
10
10
00
10
00
00
01
11
11
00
11
11
00
01
11
00
00
10
10
00
10
10
00
00
10
10
00
11
11
11
00
11
01
00
11
10
01
00
00
01
10
00
00
00
10
11
01
11
10
01
10
10
00
01
00
01
01
10
01
00
00
00
10
10
01
10
10
10
00
10
10
10
10
00
01
10
01
11
10
11
00
11
00
00
10
01
00
11
00
00
00
11
01
00
11
00
10
10
11
00
00
10
10
00
10
10
00
00
11
10
11
00
00
00
11
11
11
10
00
00
10
11
10
11
00
01
00
00
00
10
10
01
10
10
00
01
00
00
00
10
10
00
10
00
10
10
01
00
10
00
00
00
00
01
00
10
01
01
11
10
10
01
01
10
10
11
00
00
10
11
00
11
10
00
01
10
11
00
01
01
00
00
00
10
10
10
10
11
00
01
11
01
11
10
10
00
10
10
11
00
00
11
00
01
00
11
10
10
00
01
11
11
11
01
00
11
10
01
10
10
00
00
10
11
00
10
01
11
10
11
00
10
00
11
11
01
01
01
00
00
00
10
10
00
01
11
11
01
01
00
00
11
10
00
00
10
11
00
00
00
01
11
00
10
10
00
11
10
00
00
01
10
10
10
01
11
11
11
10
11
11
00
10
00
01
11
00
10
01
00
00
00
11
01
10
11
00
10
00
10
11
01
00
01
10
11
00
11
11
00
00
00
01
10
00
00
10
11
00
00
01
10
10
00
00
00
10
10
10
10
00
00
11
10
00
01
10
10
01
10
10
00
11
00
00
10
01
00
10
00
10
11
00
01
00
01
01
11
00
01
10
10
00
10
10
00
11
10
00
10
10
00
11
01
00
10
01
10
10
00
11
01
00
00
10
11
10
10
01
10
11
10
00
00
11
11
01
00
01
00
01
00
10
00
00
11
10
10
01
11
10
00
11
11
01
10
11
00
01
11
10
11
00
10
11
10
00
00
00
10
11
00
01
10
10
00
00
01
00
10
10
10
00
10
10
11
00
01
00
10
10
00
00
10
11
01
00
00
10
10
11
11
00
01
10
00
10
10
10
01
00
11
10
01
00
10
10
00
10
11
11
11
10
01
11
00
00
11
10
00
01
11
10
00
11
11
10
10
00
01
10
11
11
00
10
00
00
01
10
11
00
00
10
00
11
10
10
00
00
10
01
11
01
10
01
00
10
00
00
10
00
00
11
10
10
00
11
01
01
11
10
00
00
10
10
10
00
00
11
10
10
11
00
00
00
01
11
00
01
00
11
10
00
00
10
10
00
10
00
10
01
10
10
00
11
10
10
00
00
10
11
01
11
00
10
10
01
10
10
01
01
00
01
00
10
00
00
00
10
11
10
10
00
01
00
10
00
00
00
00
00
10
10
00
01
00
11
00
00
11
00
10
10
11
00
01
11
00
00
11
10
00
10
00
00
10
00
11
01
10
10
00
10
01
10
00
00
10
10
01
00
10
10
11
11
10
01
01
01
11
11
11
01
11
10
00
00
10
11
00
00
01
10
00
10
11
11
01
11
10
00
00
10
00
11
00
00
10
10
11
11
00
10
01
10
11
11
01
00
10
11
10
10
00
11
11
01
00
11
00
00
00
10
11
00
10
10
01
11
00
00
00
00
00
10
10
11
00
00
10
01
10
00
10
11
10
10
00
00
00
01
11
11
11
11
11
00
00
00
10
10
10
00
00
10
01
10
10
11
10
10
00
00
10
10
01
00
01
00
00
01
00
11
10
10
01
10
01
10
11
01
01
11
01
10
10
00
00
11
10
00
00
11
00
00
10
11
10
01
00
00
10
01
01
01
10
10
01
11
10
11
10
00
00
11
00
00
00
11
10
10
11
11
10
11
00
00
00
10
00
00
11
11
00
10
00
00
10
11
10
00
00
00
01
10
00
01
00
11
11
10
10
00
10
10
10
01
10
00
11
11
01
00
10
10
00
10
10
01
00
00
01
11
00
10
01
10
11
01
10
01
00
10
00
10
10
00
10
00
10
01
10
11
01
10
11
10
10
10
11
11
10
11
10
00
00
10
00
00
10
11
01
10
01
10
10
00
10
00
11
00
00
00
10
10
10
10
00
10
00
10
00
00
10
00
00
10
01
00
01
01
10
00
00
10
10
10
11
01
10
10
10
01
00
11
01
10
10
00
01
10
01
00
10
11
10
10
00
00
10
00
11
11
10
00
00
01
11
10
11
01
10
00
10
10
00
01
10
01
10
10
10
00
10
10
10
00
00
01
10
10
11
00
10
00
10
10
10
10
00
10
01
10
01
00
11
10
11
10
10
00
00
10
01
10
10
11
11
10
01
10
00
00
01
00
00
01
10
10
10
00
10
00
00
00
00
10
00
10
11
11
11
00
10
00
00
11
11
00
11
11
01
01
11
11
00
00
10
00
01
01
11
00
00
00
11
10
00
10
10
01
00
11
00
00
00
10
00
11
10
00
01
00
10
00
00
10
10
10
00
01
11
01
00
11
10
00
10
10
11
00
00
01
00
10
10
10
10
10
01
10
00
10
11
10
10
10
01
00
01
01
00
01
00
10
00
01
11
10
10
00
00
01
10
00
10
00
01
10
00
10
11
00
00
00
01
11
00
00
00
10
00
10
11
01
00
10
10
11
00
11
11
01
01
11
11
00
10
11
00
10
10
00
01
10
00
10
10
00
00
10
00
10
10
10
01
10
01
00
11
10
11
10
10
01
01
10
00
11
10
01
00
00
11
01
00
01
11
11
10
10
00
11
11
00
00
11
00
11
00
10
00
10
11
00
00
10
00
00
10
10
10
00
00
00
00
11
01
01
11
10
10
10
10
00
00
11
10
10
00
00
10
10
10
10
01
10
00
10
00
00
11
11
00
01
11
00
10
10
00
10
00
10
10
00
10
01
10
10
00
11
00
00
00
10
10
10
10
00
01
11
10
11
10
11
00
10
10
00
01
10
01
00
11
11
00
11
00
10
10
00
10
00
00
10
10
10
10
01
10
10
01
00
11
01
10
10
00
01
10
10
01
10
10
00
10
00
00
00
01
00
11
01
10
00
01
01
01
10
10
00
00
00
11
11
11
00
10
00
10
00
00
11
11
11
00
01
01
11
00
01
10
01
10
11
01
00
01
10
00
11
00
00
00
00
10
10
11
00
10
11
00
10
00
10
00
01
10
10
00
10
00
11
10
00
00
10
01
00
10
01
01
11
11
00
00
00
00
01
00
00
01
01
11
10
11
10
00
01
11
11
01
10
11
10
00
10
00
01
00
10
11
00
01
00
00
00
01
10
10
10
10
00
00
10
01
00
11
11
00
10
10
10
00
01
10
11
00
01
10
10
10
10
10
00
11
10
00
01
11
00
01
01
10
10
10
00
00
10
10
00
10
10
00
10
00
10
01
11
10
01
10
11
10
00
11
10
00
01
01
01
10
10
10
01
10
01
10
00
01
10
00
01
10
10
10
00
10
00
01
00
11
00
00
10
01
00
01
00
10
00
01
10
10
00
00
01
10
00
10
10
01
01
00
11
10
00
01
11
00
01
11
11
01
00
00
10
10
00
00
11
11
01
10
11
00
11
10
10
11
00
00
10
00
00
00
10
10
10
10
11
10
00
01
10
00
00
10
10
10
10
10
00
10
11
10
10
00
10
10
11
00
11
00
00
10
01
00
00
01
10
11
00
10
01
00
11
00
01
11
10
10
01
00
01
10
10
10
00
00
00
01
10
11
00
01
10
10
10
10
00
00
00
10
11
01
00
00
10
11
01
00
00
11
00
01
00
01
10
00
10
11
10
00
01
10
00
01
10
00
00
10
00
10
00
10
11
01
01
10
11
01
10
11
01
11
10
11
00
00
00
11
10
00
01
10
11
00
10
00
01
00
01
10
00
00
00
10
10
00
00
10
00
10
00
10
10
10
11
11
10
00
00
00
10
00
00
01
10
00
01
11
00
10
10
10
10
11
10
00
01
10
10
01
00
01
10
11
10
00
10
11
00
01
10
10
00
00
01
10
00
00
11
10
10
01
01
00
10
11
10
00
10
11
10
00
00
11
00
00
00
00
01
10
11
10
11
00
11
00
01
00
10
00
00
10
10
01
10
01
11
10
10
10
00
00
00
10
00
00
10
01
00
10
10
10
10
10
11
01
01
01
00
11
00
00
10
11
10
00
00
00
00
10
00
01
11
10
00
01
10
00
00
10
00
10
10
01
11
10
11
11
01
10
10
10
01
01
10
00
00
10
01
00
10
10
00
11
10
01
11
00
00
01
10
01
00
11
10
10
00
00
00
11
10
00
00
00
00
00
10
11
01
00
11
00
11
10
01
11
10
10
00
10
10
00
00
10
10
10
10
10
10
11
11
00
01
11
00
10
11
01
11
10
01
00
11
10
00
00
10
10
01
10
10
00
00
00
10
10
01
01
00
11
00
00
00
00
10
00
01
10
10
01
10
01
00
11
00
10
00
10
00
01
10
10
10
11
10
01
11
11
00
11
01
00
10
10
10
10
01
01
01
00
01
00
10
00
10
10
01
00
10
11
00
00
10
01
11
00
10
01
00
11
01
01
11
11
00
01
00
10
10
00
00
11
00
00
10
00
10
00
00
00
10
00
11
10
11
00
00
10
00
10
10
10
01
10
01
01
00
11
10
00
10
00
00
10
10
00
10
11
11
10
11
00
10
10
00
10
00
10
10
01
10
10
11
10
11
00
11
01
00
00
00
01
10
00
01
00
10
01
01
10
11
00
00
10
11
11
10
11
01
01
00
00
10
10
10
01
00
11
00
00
01
00
00
00
00
10
00
00
10
01
01
00
10
01
00
10
00
11
00
00
01
10
10
00
10
11
00
00
00
11
10
00
10
00
10
10
00
00
01
10
01
11
10
01
11
01
00
00
00
11
00
00
01
10
10
10
00
01
01
01
00
10
10
10
10
10
00
00
11
10
00
00
00
11
10
10
11
00
11
10
00
01
00
11
00
01
11
01
00
10
01
00
01
00
10
01
00
10
01
10
10
01
10
10
01
10
01
01
00
00
11
10
01
11
00
10
10
11
10
01
00
10
10
01
10
10
00
00
10
00
11
11
00
10
11
10
00
00
10
10
00
10
00
10
10
11
00
10
01
01
01
10
11
00
10
10
10
10
01
10
10
00
11
10
11
10
00
00
00
01
10
00
11
10
00
00
00
01
01
11
11
00
01
10
00
01
01
11
11
00
01
10
01
00
10
01
00
10
11
00
01
10
10
10
01
01
01
01
10
10
11
00
11
10
00
00
00
01
00
11
11
10
01
10
10
00
01
10
00
00
10
00
00
10
00
10
11
00
00
10
10
00
11
00
10
10
00
00
10
10
00
00
00
10
00
00
10
00
01
11
10
11
00
10
10
11
11
11
00
01
10
01
01
01
01
11
11
10
00
00
10
10
10
00
00
00
00
00
00
00
11
00
10
00
10
00
11
10
10
11
11
11
10
00
10
00
01
10
00
00
11
00
00
00
10
00
00
00
00
10
10
00
00
10
10
10
00
00
11
11
00
01
11
00
11
01
10
10
00
00
10
00
00
11
00
11
00
00
10
10
00
01
10
10
11
01
10
10
00
01
00
10
00
00
01
10
00
00
10
11
00
01
11
10
00
10
11
00
11
11
10
01
11
00
01
11
01
11
10
01
11
10
01
00
00
11
01
01
10
11
10
10
10
01
00
10
01
10
01
10
11
00
10
00
00
10
11
00
10
10
01
00
01
10
10
10
01
00
11
11
00
00
11
10
01
00
11
11
11
10
00
00
11
11
00
10
10
00
10
01
00
00
00
10
10
00
00
10
01
00
10
10
11
10
11
10
01
01
00
00
10
11
00
00
10
11
00
11
10
10
01
00
00
11
11
00
00
10
10
01
00
10
01
11
00
00
10
10
11
10
10
00
10
11
00
01
00
10
01
10
11
00
10
10
00
11
00
00
00
00
00
01
10
10
00
00
10
00
10
00
01
10
10
10
10
01
00
11
10
00
10
11
00
10
00
00
00
10
01
10
10
00
10
00
11
10
01
10
11
00
01
10
10
11
01
00
11
11
01
00
00
10
10
00
10
10
00
10
00
01
00
10
00
10
00
01
01
00
00
11
00
10
10
11
00
10
10
01
10
10
10
10
10
00
10
10
10
10
00
10
00
11
01
11
11
00
00
11
11
00
10
10
00
00
00
10
10
00
10
11
10
00
11
10
00
00
00
11
00
00
10
00
10
00
11
00
01
10
11
10
10
10
11
10
01
00
10
10
11
01
00
01
10
10
10
11
11
11
10
01
00
00
11
01
00
11
10
01
01
10
10
11
01
01
01
11
11
10
00
00
00
00
11
10
10
01
11
10
00
01
10
10
11
11
01
11
01
10
10
00
00
10
10
01
00
01
10
10
00
00
01
10
10
00
01
11
00
10
11
01
10
01
00
11
10
00
00
00
00
00
01
10
11
00
01
01
10
10
00
10
11
01
00
11
11
00
10
10
10
00
00
00
11
00
01
10
01
00
10
00
10
11
00
01
00
10
10
01
10
10
11
10
00
00
00
10
00
10
10
00
00
00
11
10
00
00
11
01
11
00
00
00
01
00
11
10
10
10
10
00
00
11
10
00
01
10
11
00
10
00
11
00
00
00
11
00
01
10
10
00
00
10
10
00
00
10
00
01
10
10
10
00
00
00
00
10
00
10
10
10
00
10
11
11
10
00
10
01
10
11
00
00
01
11
01
00
11
00
10
01
00
11
11
00
01
01
01
10
10
01
01
01
11
11
01
11
10
00
11
10
01
10
10
01
00
11
01
01
10
01
10
10
00
00
10
11
00
00
00
10
00
01
01
10
00
00
00
01
10
10
10
01
01
10
00
00
01
00
10
11
11
00
01
00
10
10
11
00
01
10
10
01
11
00
10
10
01
10
10
11
01
10
11
00
10
01
01
00
10
11
00
00
10
11
10
00
01
10
00
00
11
01
10
11
01
00
10
10
10
11
00
00
00
01
10
11
00
00
01
00
10
10
00
10
11
01
11
10
00
01
10
11
10
00
10
11
00
00
00
10
10
10
10
00
10
01
11
11
10
10
00
00
10
00
00
10
00
01
10
00
10
00
10
10
10
01
10
00
00
10
01
01
01
00
10
01
10
01
00
11
11
10
00
01
11
00
01
10
11
01
11
01
01
10
10
10
00
00
11
10
01
00
01
11
01
10
01
00
11
10
00
01
10
00
00
11
10
11
10
10
01
11
10
01
00
10
00
00
10
10
10
10
00
11
10
00
01
11
10
10
00
00
11
11
00
11
00
10
01
00
10
11
01
00
00
00
11
10
11
10
10
10
11
00
01
00
11
11
10
00
10
10
11
00
00
00
10
10
01
01
10
01
01
10
10
11
10
00
01
10
11
01
01
10
10
00
00
10
11
01
10
10
00
00
00
10
10
00
00
00
01
10
10
10
11
10
10
10
01
00
10
10
00
01
10
10
01
11
10
10
11
00
00
11
10
10
11
00
00
00
01
10
00
10
10
00
00
00
10
10
00
00
01
00
00
01
00
11
10
00
10
10
11
01
10
11
00
00
00
11
00
00
01
10
11
00
01
01
01
11
00
10
11
10
00
10
00
00
10
10
00
01
00
00
10
00
10
00
00
11
11
01
00
11
10
10
01
00
10
10
11
00
01
11
10
11
10
00
00
00
11
10
00
00
00
10
10
00
00
01
10
00
10
10
10
10
00
11
10
01
00
00
01
00
01
10
10
00
00
10
11
11
00
10
11
11
10
00
10
01
10
10
00
10
10
00
10
00
10
00
00
00
01
11
00
10
11
10
10
01
10
10
01
00
00
11
10
00
10
11
00
00
10
10
00
00
00
10
01
00
01
00
10
00
00
01
10
11
01
01
01
00
01
00
01
11
11
00
00
00
00
00
10
10
01
11
10
11
00
00
01
00
00
00
10
00
10
11
00
00
10
00
10
11
11
01
11
10
00
10
10
11
11
00
01
01
10
00
01
10
00
10
10
00
00
00
10
00
11
11
10
10
10
10
10
10
00
00
10
00
00
00
10
10
11
10
00
10
00
01
11
00
01
10
01
11
01
00
11
10
00
10
10
11
00
00
10
10
01
11
10
10
00
10
00
10
11
01
00
11
10
00
11
01
00
11
01
00
00
11
10
00
01
10
00
10
10
00
10
01
00
00
01
10
00
01
10
01
10
00
00
11
10
10
10
00
00
10
10
01
10
10
00
00
00
10
00
10
00
01
01
10
01
11
10
00
00
11
00
10
00
00
11
00
10
11
10
00
01
10
11
00
00
01
00
10
10
10
01
00
10
00
00
11
00
10
11
01
00
11
00
11
01
01
00
11
00
00
10
10
00
01
01
11
00
10
00
00
10
10
11
00
01
11
01
00
11
00
01
11
10
10
00
10
10
00
00
00
00
10
10
10
11
00
10
10
00
11
10
10
00
10
01
10
01
10
01
10
10
10
00
01
10
10
00
11
00
00
00
10
01
10
01
01
10
10
10
00
11
00
01
00
11
11
10
10
11
01
00
11
00
11
01
01
10
00
00
10
00
00
10
10
11
01
10
00
00
11
10
11
00
00
10
00
11
00
00
10
10
10
11
10
00
00
01
00
10
01
11
11
00
00
11
01
01
01
00
11
00
00
10
00
00
10
10
01
11
10
01
00
10
00
11
10
11
10
00
10
00
00
10
00
01
00
10
01
10
00
00
01
11
00
00
10
11
10
00
11
11
01
00
00
00
11
00
10
10
00
01
11
01
01
10
00
00
11
00
01
10
10
01
01
00
11
00
00
01
00
10
10
10
01
10
01
10
10
01
01
10
10
01
00
10
10
11
00
00
10
10
00
10
10
11
00
11
11
00
00
01
10
10
10
00
01
11
00
01
10
00
10
00
00
01
10
10
00
00
11
11
00
01
01
10
00
10
11
01
10
11
00
01
01
10
10
00
00
11
11
00
11
10
00
10
00
11
10
00
11
10
01
01
11
00
00
00
10
00
11
10
00
10
11
01
10
10
01
00
00
10
00
10
10
11
11
10
11
00
01
10
11
00
01
11
11
10
11
11
11
11
00
10
00
10
10
11
10
01
00
10
01
00
10
00
00
10
10
00
01
10
10
10
10
10
00
00
11
00
10
00
10
10
10
10
00
10
11
00
01
01
10
10
10
10
11
10
00
00
10
11
00
01
11
10
10
11
11
10
10
01
10
10
10
00
10
10
11
01
00
10
00
00
00
11
11
11
01
00
00
00
11
10
00
00
10
00
10
01
10
10
00
11
00
00
00
10
10
10
00
01
10
01
10
11
10
10
10
00
01
10
10
00
11
00
00
10
11
10
10
10
00
11
10
00
01
00
10
10
01
10
10
00
00
10
11
10
00
01
11
00
11
11
11
00
00
01
10
00
00
10
10
01
10
00
10
10
10
00
00
11
00
01
11
10
00
00
10
11
00
00
10
00
10
00
01
11
11
01
10
11
00
11
00
10
00
00
00
11
11
00
10
01
00
10
11
11
00
00
11
10
01
01
11
00
10
00
00
00
11
10
11
00
01
10
01
10
01
01
11
00
11
11
00
10
10
00
01
11
10
11
10
11
00
00
10
11
10
00
10
10
10
10
11
00
10
00
10
10
11
00
00
10
11
10
10
10
10
00
11
11
00
00
10
11
10
10
10
00
00
00
00
10
10
10
00
10
01
11
11
01
10
11
00
01
10
10
01
00
10
10
00
00
00
10
10
10
00
01
10
10
10
10
01
00
10
10
00
00
00
01
01
01
10
10
10
10
11
10
11
00
10
10
00
10
00
01
10
10
00
10
00
10
01
10
00
01
10
01
10
10
01
10
10
00
11
10
00
00
10
10
11
10
10
10
11
10
00
00
00
10
11
01
01
00
10
01
00
00
00
11
11
10
00
01
01
10
10
11
00
11
10
10
10
00
01
10
10
00
11
01
11
10
00
00
11
00
01
10
01
00
10
10
00
01
11
01
01
10
01
00
10
10
00
00
11
10
01
00
11
10
01
10
01
01
10
11
00
01
00
11
10
11
00
00
10
10
00
00
10
10
11
10
10
10
11
00
01
00
10
00
00
11
01
01
10
10
10
11
11
00
00
11
11
00
00
10
10
00
01
11
01
00
10
11
00
00
10
11
01
11
10
00
10
01
01
10
00
10
00
00
11
11
10
10
10
10
01
11
10
00
11
10
00
10
00
00
00
10
01
01
11
00
00
00
10
01
01
00
10
10
10
11
01
10
00
00
01
01
00
11
00
00
11
00
10
00
00
10
01
00
00
10
00
00
10
11
01
10
11
10
10
10
00
00
10
11
00
11
01
10
01
10
00
10
01
00
10
00
00
11
10
01
00
01
10
01
01
00
10
10
10
10
10
01
00
10
01
10
10
00
00
10
10
01
01
01
10
11
10
01
00
10
10
00
00
11
11
11
10
01
00
00
11
00
10
01
10
11
11
01
01
10
00
11
11
00
11
11
00
10
11
10
10
10
00
00
10
10
00
00
00
01
11
11
01
00
11
10
10
11
00
00
10
00
00
10
11
10
01
01
01
10
10
00
00
00
10
11
10
00
11
00
00
10
10
00
10
00
11
00
00
00
00
00
10
00
01
10
10
10
10
01
00
00
01
11
10
10
01
11
11
01
00
10
00
01
00
01
11
10
11
00
10
10
00
10
10
10
00
01
10
11
10
10
00
00
00
01
10
10
00
10
10
11
00
01
01
10
10
10
11
10
00
00
11
00
10
00
10
00
00
01
10
11
01
10
10
11
10
01
10
10
00
00
00
10
00
00
01
11
10
00
00
10
01
11
00
00
10
10
00
11
11
00
00
11
01
00
11
10
10
10
00
01
00
01
11
10
11
00
00
01
10
10
10
00
01
00
10
10
01
10
00
10
10
00
10
00
10
01
10
11
00
00
10
00
01
10
10
00
00
01
10
01
01
00
00
00
11
00
11
10
01
10
00
11
00
00
01
00
10
10
10
00
00
00
11
00
00
00
10
11
00
11
10
00
10
01
00
11
00
00
00
10
10
11
11
01
10
10
00
00
11
10
11
00
10
10
00
00
10
10
01
11
10
11
11
10
01
00
00
01
10
10
11
01
00
00
00
10
00
10
10
00
00
11
00
01
10
00
01
10
00
00
10
10
00
00
10
10
10
10
11
10
11
11
10
01
00
00
10
01
10
00
11
10
00
00
10
10
01
00
00
00
10
01
10
00
11
11
00
00
11
01
10
10
01
10
01
10
10
00
00
00
10
10
00
11
11
11
00
00
11
01
10
01
01
11
10
00
00
00
00
10
10
00
00
10
11
11
00
10
11
00
11
10
01
01
11
10
10
11
10
00
00
10
11
01
00
11
00
10
00
01
10
00
01
10
11
10
00
11
00
01
10
00
00
11
01
10
10
01
00
10
11
10
00
00
10
10
00
00
10
00
01
10
00
00
00
10
10
01
01
10
10
10
10
01
00
00
11
11
00
00
01
00
10
00
11
00
10
11
00
11
11
01
10
11
10
00
00
10
10
01
10
01
01
00
10
10
11
00
01
10
10
00
00
01
10
11
10
01
00
00
00
10
00
01
10
10
10
01
00
10
00
00
10
01
11
10
00
00
10
11
11
11
00
10
10
10
11
00
01
00
10
11
11
01
11
01
00
11
00
11
10
01
00
10
11
01
11
10
10
00
10
00
11
10
01
10
00
00
01
10
11
10
00
00
01
01
00
11
10
10
10
11
00
00
10
10
00
10
00
00
11
10
11
00
10
01
10
11
00
00
10
00
01
10
10
00
00
11
00
01
00
11
01
00
10
01
01
11
11
10
11
00
00
10
10
01
10
10
00
00
01
10
10
01
00
00
00
10
11
10
00
10
10
10
01
00
10
00
01
10
10
10
01
10
10
01
10
10
10
00
00
00
10
00
10
11
01
10
11
10
00
11
10
00
10
11
01
11
10
01
00
00
10
10
01
10
10
00
00
10
01
01
00
11
00
00
10
10
11
10
00
00
10
00
00
01
10
10
11
10
11
00
10
00
11
10
01
00
10
01
10
01
00
10
00
10
00
01
10
10
01
10
00
10
10
01
10
00
00
01
11
00
11
10
11
00
01
11
01
10
10
00
11
10
01
01
10
10
11
10
11
00
00
10
01
10
11
00
00
00
00
00
10
10
00
10
10
00
10
10
00
10
10
11
00
10
00
00
11
00
11
10
11
00
00
00
11
11
00
00
10
00
00
11
00
11
00
00
11
11
01
01
10
10
10
11
00
00
10
11
10
00
00
01
00
01
10
00
10
11
00
00
00
10
00
10
00
01
11
10
00
00
01
00
00
10
10
10
00
00
00
01
11
01
00
11
10
10
00
11
11
00
00
10
10
01
11
01
00
00
00
01
00
11
00
01
00
10
10
10
00
00
10
00
10
00
11
00
01
00
11
00
01
10
00
00
00
10
10
11
10
00
01
01
10
10
11
01
10
10
10
10
00
11
11
10
10
01
11
01
10
00
00
10
00
11
00
00
00
11
10
00
11
01
01
00
11
00
01
00
00
01
10
11
00
10
10
10
00
00
00
00
10
10
11
01
10
10
00
00
10
00
00
10
01
00
10
00
00
01
10
00
00
11
00
00
10
10
01
11
11
11
10
00
01
10
10
11
01
10
01
00
10
01
10
11
11
11
00
00
11
00
00
10
01
00
10
10
10
00
10
10
00
10
10
01
11
10
11
11
00
11
11
10
00
00
10
00
10
01
00
01
10
00
00
11
00
00
11
10
00
01
00
10
10
01
10
10
10
10
10
00
10
01
10
01
00
01
00
10
10
00
00
11
10
00
11
00
01
10
00
01
11
01
10
00
00
01
10
00
01
11
10
11
10
10
00
00
11
11
00
00
10
11
01
01
01
10
11
00
11
10
00
00
10
10
00
00
11
01
11
00
10
01
00
11
10
11
00
01
01
10
01
00
00
10
00
01
11
10
01
01
11
10
00
01
10
10
00
10
00
01
00
10
11
00
11
01
01
11
11
01
00
10
10
00
00
10
10
01
00
11
00
01
11
11
00
10
01
01
00
11
11
10
00
10
00
11
10
00
00
10
10
00
00
11
01
00
10
10
00
10
00
10
10
11
00
00
10
11
01
01
10
00
10
00
00
11
11
00
00
00
01
11
01
00
00
01
10
10
10
10
01
10
10
00
11
10
01
00
00
11
00
11
10
00
00
00
11
01
10
10
10
00
00
10
00
00
11
10
11
10
01
11
11
00
01
10
11
10
00
00
10
11
01
01
11
01
10
10
00
11
10
01
00
10
01
10
00
00
10
10
00
00
10
00
00
10
00
00
11
11
00
10
11
00
01
00
00
10
10
00
11
00
00
11
01
10
10
00
11
00
11
11
00
01
10
00
10
10
00
11
00
00
00
00
10
10
10
01
11
10
10
01
01
10
11
10
00
10
00
00
00
00
10
10
10
10
00
01
10
11
11
00
01
10
00
10
01
10
00
01
11
11
01
01
10
00
10
00
00
00
11
10
10
00
00
00
10
00
00
00
10
10
00
00
10
00
10
00
00
00
11
10
01
00
10
10
10
00
00
10
11
10
10
11
11
11
01
11
10
11
10
01
11
10
00
01
00
10
01
00
10
10
00
10
11
00
00
10
00
10
01
00
11
01
01
00
11
10
10
00
00
01
10
11
01
10
11
10
01
10
00
00
10
00
00
10
10
01
00
10
11
01
11
10
01
10
00
01
00
01
11
00
00
00
01
10
10
10
10
00
10
00
00
00
00
01
10
10
11
10
10
10
10
00
10
00
00
01
10
11
10
10
11
01
00
10
00
11
10
01
01
00
10
00
00
10
01
01
11
10
00
10
11
00
01
10
00
11
01
01
00
01
10
10
00
00
10
10
00
01
00
10
00
10
01
01
00
00
10
01
10
00
01
11
11
11
00
00
11
10
00
00
10
00
10
11
10
01
01
01
00
11
10
00
00
10
01
10
10
01
10
00
11
11
00
10
01
00
00
10
10
10
11
00
10
00
00
00
10
10
00
11
10
01
00
00
10
10
10
01
10
10
10
11
11
01
10
01
11
00
11
11
00
01
10
11
00
00
11
10
10
10
00
00
01
01
10
00
10
10
11
00
00
10
10
00
00
00
10
10
11
11
01
00
11
00
10
10
00
00
10
10
00
00
10
10
11
00
00
10
11
00
01
01
10
01
11
10
10
01
00
01
00
11
01
10
10
00
00
10
01
00
10
00
11
01
11
11
00
10
11
10
01
00
10
11
11
00
00
11
01
10
10
00
10
10
00
00
11
00
00
10
10
10
01
10
00
00
01
10
00
10
10
11
00
11
10
10
00
00
01
10
11
01
10
10
00
10
00
00
10
00
00
01
00
00
00
11
10
10
11
00
11
00
10
10
01
00
11
10
00
10
10
11
10
01
00
01
10
10
10
10
10
00
00
01
01
00
10
10
10
11
00
10
00
01
00
01
00
11
10
11
00
01
10
00
10
10
11
01
01
00
00
10
00
10
10
00
00
10
10
01
10
10
11
00
10
00
00
10
00
00
00
10
00
10
01
00
10
00
00
10
10
11
00
00
10
11
11
10
10
01
10
00
10
10
00
01
01
11
01
00
11
00
00
00
00
11
10
10
11
01
10
01
10
00
01
00
01
10
00
10
10
00
10
00
10
10
00
10
10
00
00
00
11
00
00
01
10
10
11
00
01
10
10
01
11
10
01
10
10
00
11
10
11
00
00
10
01
00
00
10
11
10
00
10
10
10
11
01
11
11
11
10
01
10
10
10
00
00
01
11
10
00
00
11
00
10
01
00
11
01
00
11
01
01
10
10
00
11
10
11
00
01
11
10
00
11
10
10
00
00
00
10
01
10
00
00
11
01
01
10
11
01
10
00
00
10
11
00
00
11
10
10
10
01
11
01
10
01
00
10
01
00
10
00
00
11
01
11
10
10
01
00
10
01
11
11
01
01
00
11
10
00
10
11
10
00
01
10
11
00
10
00
11
00
11
00
00
11
11
00
00
10
10
00
00
10
01
00
11
00
01
00
00
10
10
01
10
10
00
00
00
11
10
00
00
00
11
11
01
01
10
10
00
01
10
10
00
01
10
01
10
10
01
01
11
00
00
11
10
11
00
00
11
00
00
01
00
10
10
10
00
00
10
00
11
10
10
00
10
11
01
10
00
01
10
11
00
00
10
10
00
11
00
11
10
01
01
11
00
10
11
00
00
11
11
00
00
10
10
10
10
00
00
11
10
01
00
10
00
10
00
11
10
00
10
10
00
10
11
01
11
01
01
01
01
11
00
10
10
01
10
01
10
10
00
00
01
11
10
00
00
00
10
10
00
10
10
01
10
00
00
10
00
11
00
11
00
10
01
11
01
01
10
10
01
01
10
10
00
00
10
11
01
11
11
10
01
00
10
00
10
10
10
11
00
10
10
00
10
00
10
00
10
01
00
11
00
11
10
01
11
11
10
01
00
01
11
11
10
00
00
10
10
00
00
00
10
10
10
00
10
00
00
11
00
10
11
00
01
10
01
10
00
01
00
00
10
11
11
10
01
10
10
10
01
01
10
11
01
10
11
10
01
00
00
10
11
00
01
01
10
01
11
00
01
10
10
01
01
10
10
10
00
10
00
00
10
11
10
01
10
10
11
01
01
10
01
00
00
00
10
10
00
11
10
00
00
11
10
01
00
10
10
01
10
10
01
01
01
00
01
10
01
10
10
10
10
11
00
11
10
00
10
00
01
00
10
00
00
10
11
10
11
10
01
00
00
00
01
11
00
00
11
10
10
00
10
10
01
11
10
10
00
11
00
00
00
10
10
10
11
01
01
10
10
00
10
01
00
10
01
00
00
00
10
01
00
00
11
00
10
10
01
00
01
11
11
00
10
01
01
10
11
01
00
10
10
11
10
01
01
10
11
00
01
11
01
11
00
10
11
00
01
01
10
10
11
00
00
01
10
10
10
00
10
00
01
01
11
10
01
10
10
10
00
00
11
10
01
00
10
10
10
11
10
00
00
00
10
11
01
00
10
10
11
01
00
11
10
00
00
11
00
10
00
01
01
10
01
01
11
10
01
10
01
01
10
10
00
00
00
01
01
00
10
01
11
00
10
11
00
01
00
11
01
00
00
00
00
01
10
10
01
11
10
01
01
10
10
10
01
00
10
00
10
10
10
10
00
11
10
11
00
10
10
00
00
00
00
10
10
00
11
10
00
10
11
00
10
10
00
11
00
00
10
00
10
00
11
11
00
00
11
00
00
11
10
10
10
00
01
11
11
00
10
00
11
10
10
00
00
10
00
00
11
10
10
01
11
00
11
10
10
00
10
00
00
10
00
10
00
00
00
00
00
10
10
00
00
00
11
10
11
10
01
11
01
00
10
00
01
10
10
00
00
10
00
10
00
10
00
10
00
00
01
01
00
01
11
00
10
10
10
11
00
00
10
11
10
00
00
10
00
00
00
00
10
10
00
00
11
11
00
01
10
10
10
10
11
11
11
00
10
10
00
10
00
00
01
11
01
10
10
10
01
00
10
00
00
11
10
00
00
10
10
01
00
10
11
00
00
11
10
11
10
11
10
10
01
00
11
11
01
01
01
01
01
00
10
00
10
10
01
01
11
10
01
00
10
01
01
01
11
00
10
01
10
10
10
01
01
00
00
11
10
00
10
10
00
10
11
00
00
10
01
10
10
00
00
10
01
01
11
10
10
01
11
10
00
11
11
01
00
10
11
00
11
00
10
10
11
00
01
00
10
01
10
10
00
10
10
00
10
11
00
01
10
10
10
01
11
00
00
00
00
10
00
11
10
10
00
10
00
10
10
00
00
10
10
10
10
10
00
10
10
00
01
01
10
00
10
01
11
00
00
11
00
01
10
00
01
11
10
11
00
01
00
10
10
00
01
10
10
11
11
00
00
11
00
00
10
10
10
01
10
00
11
10
10
10
00
01
00
11
11
11
11
11
10
00
10
00
00
10
11
00
00
10
00
01
11
01
00
01
10
00
00
00
10
10
01
10
10
00
00
11
10
11
00
11
01
00
11
01
01
10
10
00
00
10
10
01
00
10
11
11
00
00
01
11
10
00
10
10
00
11
00
00
11
10
11
00
00
10
10
00
11
01
00
10
10
00
01
10
11
00
10
00
11
10
11
00
00
00
01
01
01
10
10
00
01
00
11
10
11
01
00
01
00
10
10
00
00
00
00
10
11
10
01
00
01
00
00
00
10
00
11
11
00
00
10
00
10
01
11
00
11
01
00
11
10
00
00
00
10
00
00
11
10
10
00
00
10
00
01
00
00
11
10
10
00
01
00
11
10
10
10
10
00
00
00
00
00
10
11
10
11
10
10
00
00
00
11
01
00
10
00
11
00
00
11
11
11
00
10
01
10
10
00
10
11
11
00
00
10
00
00
00
00
11
10
01
00
10
00
00
00
11
01
10
10
00
11
11
00
01
10
10
00
11
10
10
11
01
00
10
10
00
00
00
11
00
01
01
00
11
10
01
00
11
10
00
00
10
10
10
10
11
00
00
10
11
10
11
01
00
00
00
00
11
00
00
00
00
10
10
11
00
01
00
11
11
10
01
11
00
10
00
01
10
10
00
10
00
00
01
10
10
00
00
01
01
10
10
00
00
11
00
10
10
10
00
00
00
11
10
10
11
10
01
00
00
11
00
00
00
10
10
11
10
00
00
10
10
00
10
01
11
00
01
00
00
00
10
10
00
11
10
11
00
00
00
10
00
10
10
00
10
01
00
00
10
11
10
00
11
00
10
10
10
10
00
00
00
10
00
00
00
00
00
00
11
01
10
10
10
00
11
10
10
00
11
01
10
01
01
10
11
10
01
10
00
01
11
01
00
10
00
10
10
10
00
00
01
01
00
00
11
11
01
01
10
10
00
10
01
00
10
10
00
00
00
11
10
10
11
10
00
00
00
10
01
10
11
01
00
01
10
10
00
00
10
11
01
00
00
00
01
11
00
10
10
01
01
11
00
00
00
10
11
01
11
01
00
11
11
10
00
01
10
10
00
10
00
00
00
10
11
00
10
10
00
10
10
11
01
11
00
11
11
11
01
00
11
10
01
01
00
01
10
11
00
11
11
01
10
10
00
00
10
10
00
10
10
00
11
10
10
01
01
01
01
11
10
10
10
11
00
00
10
11
00
01
00
00
10
00
10
00
10
10
10
10
01
10
10
01
00
10
10
00
10
10
00
00
00
11
10
00
00
01
10
01
01
10
11
10
00
10
00
00
10
10
01
11
10
00
00
10
01
00
01
01
01
01
01
01
00
10
11
10
01
01
10
00
11
10
10
10
00
01
10
10
01
11
00
01
10
10
01
11
10
00
00
11
00
00
01
10
01
00
00
01
10
01
10
10
10
10
01
00
00
10
10
00
10
10
00
00
10
00
11
11
11
00
01
00
00
11
10
01
00
00
10
00
00
11
00
00
11
01
11
00
11
10
10
10
01
01
10
11
00
01
00
11
11
10
00
10
01
11
01
01
00
10
00
10
11
01
00
00
10
10
11
01
00
10
01
01
10
11
00
11
10
00
10
11
00
00
10
10
00
00
10
10
11
10
01
00
00
00
01
00
11
01
00
10
00
10
10
10
00
00
11
01
00
00
00
00
01
10
10
00
00
11
01
00
11
10
01
00
10
10
10
00
11
00
00
10
10
11
10
00
00
01
00
11
01
00
10
10
01
00
00
00
10
10
11
10
10
10
10
00
11
11
10
00
00
01
01
00
10
10
01
01
10
11
00
00
11
01
10
10
10
00
00
00
10
10
00
00
10
11
01
10
10
00
00
00
11
10
10
11
11
11
00
00
00
00
01
11
11
01
11
01
01
10
10
00
01
10
10
10
01
10
10
00
10
10
01
01
01
00
11
11
11
10
10
00
10
00
01
10
10
00
11
11
00
11
11
10
00
11
10
11
11
00
01
00
11
10
10
10
10
10
00
00
10
10
11
01
01
10
00
00
00
00
10
10
00
10
01
00
11
00
01
00
10
11
00
00
11
10
00
00
00
10
10
10
00
00
00
00
01
11
10
00
00
01
00
10
10
01
11
10
01
11
11
00
11
10
00
00
00
00
10
10
01
01
00
11
10
01
10
10
10
00
00
11
10
00
00
10
00
00
01
01
01
00
10
10
01
10
11
00
00
00
10
11
10
01
01
00
00
00
11
11
11
00
10
10
10
10
00
01
10
01
00
00
00
01
00
00
10
10
10
00
00
10
11
10
00
01
10
01
00
10
10
10
00
11
10
00
00
10
00
10
10
11
00
01
00
11
10
10
11
00
00
11
00
10
00
01
10
10
00
11
11
10
10
01
10
01
00
10
11
10
00
00
00
10
11
00
00
11
00
11
01
10
10
00
11
01
10
10
00
00
00
00
11
10
00
00
10
11
10
10
11
10
00
01
11
11
01
10
10
10
11
00
01
10
11
00
10
01
01
01
10
01
11
00
01
01
00
11
11
10
00
11
00
11
10
00
10
10
00
00
11
10
00
00
10
01
01
00
10
10
01
00
10
01
00
10
00
11
10
00
10
00
00
10
11
11
00
01
00
00
00
01
10
10
10
00
01
10
11
10
11
10
01
11
01
10
11
00
10
10
00
10
00
00
00
11
11
00
10
00
01
00
00
10
00
11
10
10
00
00
11
00
11
10
00
00
00
10
11
01
00
00
00
00
01
00
10
01
10
10
00
00
10
10
00
01
00
10
00
00
01
10
11
10
11
00
10
00
10
01
10
00
00
01
00
10
11
10
01
10
10
00
11
10
00
00
11
10
10
00
10
10
10
10
00
00
10
10
11
01
00
01
01
11
10
00
00
00
11
01
10
11
10
10
00
10
11
01
11
11
01
01
10
01
10
11
00
00
00
10
10
00
01
10
10
10
00
01
00
00
00
01
00
10
10
10
01
01
11
10
11
10
01
11
10
00
01
10
11
11
00
00
10
00
11
10
00
11
10
10
01
00
01
01
10
00
01
11
00
00
11
00
11
10
11
00
00
10
00
10
10
11
10
00
10
10
00
10
01
00
01
11
00
11
01
00
11
10
01
00
01
10
01
00
11
01
00
00
11
10
00
01
10
11
00
10
00
10
10
10
10
01
10
11
00
10
00
00
11
11
00
01
10
10
01
11
00
01
00
10
00
10
10
10
11
01
00
10
00
10
00
10
01
11
10
00
00
00
11
10
00
00
10
11
01
10
00
10
10
10
00
00
10
00
00
00
00
01
10
01
10
10
01
01
11
10
01
01
11
11
01
00
10
01
10
01
11
10
00
11
10
10
10
10
10
10
01
01
00
10
00
00
00
00
10
11
00
11
10
10
11
00
11
10
11
01
01
10
11
10
00
10
10
00
00
00
10
10
10
11
10
10
00
10
10
00
10
00
10
01
01
00
11
00
00
00
11
10
01
10
00
01
10
10
00
11
10
00
01
11
00
10
11
10
10
00
00
10
10
00
00
00
00
11
10
11
10
10
11
10
10
00
00
11
11
00
10
01
11
10
00
01
10
00
00
10
10
00
00
11
11
00
00
01
10
11
00
00
10
10
10
10
00
01
10
00
11
10
10
00
00
00
11
11
00
10
11
01
10
10
10
01
11
10
01
11
10
11
00
00
00
10
10
01
10
11
11
00
10
10
00
00
10
10
00
10
10
10
01
00
11
10
11
00
10
10
00
11
11
11
00
00
10
00
10
00
10
10
00
00
00
00
10
01
10
10
10
00
01
10
00
10
00
01
00
10
10
01
10
10
11
10
10
11
10
00
00
00
10
00
00
10
10
10
10
01
00
10
01
00
01
11
11
00
00
01
00
10
11
11
01
01
11
00
10
10
11
00
00
10
10
11
01
10
00
10
00
01
10
10
11
10
01
10
10
11
11
00
00
00
11
00
00
11
10
10
00
01
11
00
10
01
01
00
11
10
11
00
01
10
10
10
10
10
00
00
10
10
00
00
10
00
01
10
10
10
11
01
11
01
00
00
01
00
00
01
11
00
11
10
11
10
00
00
01
10
10
10
01
11
00
10
00
10
00
00
10
10
10
01
11
10
11
01
00
00
10
10
11
00
00
10
00
11
00
01
10
10
01
11
01
11
11
01
01
01
11
01
10
10
01
01
00
10
10
01
11
01
00
10
00
10
10
00
11
00
00
00
10
01
00
00
11
00
10
00
11
10
11
11
01
01
00
10
11
01
11
11
00
10
10
01
00
11
00
01
10
10
11
00
11
10
10
00
10
00
00
10
10
10
01
00
01
01
10
00
00
11
00
11
10
01
10
10
11
00
00
11
10
01
00
10
00
10
10
10
00
01
10
10
00
10
00
00
10
10
11
00
00
10
00
01
00
10
11
10
00
00
01
11
00
01
10
11
00
00
01
11
10
00
00
00
11
11
00
10
00
10
10
01
00
11
00
10
10
10
11
10
11
00
00
00
00
10
11
10
01
10
00
01
10
10
11
10
10
11
00
11
10
00
00
01
00
00
10
11
10
10
01
00
00
10
11
10
10
11
00
00
10
01
01
10
11
00
11
10
10
10
10
00
00
00
01
00
01
01
00
11
00
01
00
10
10
10
11
10
00
00
11
10
00
00
11
00
10
00
10
10
00
01
01
10
01
00
10
00
10
10
00
10
11
00
01
01
01
00
01
00
11
00
00
10
10
01
10
10
00
10
10
10
00
01
00
00
10
11
01
01
10
01
10
00
10
11
11
10
00
00
10
11
01
10
01
10
11
10
10
00
11
10
01
00
10
11
01
10
10
00
00
00
10
11
00
10
00
01
00
10
00
01
01
10
11
00
00
10
10
10
10
10
00
10
11
11
10
00
11
10
00
00
10
01
10
10
00
10
11
11
00
01
10
11
00
11
00
01
01
10
00
00
10
01
01
10
10
10
11
11
00
00
10
11
00
11
01
00
01
10
10
01
00
10
10
00
00
01
11
00
11
10
11
10
01
00
10
00
10
10
11
11
01
11
00
00
00
11
00
00
10
11
00
11
00
10
10
10
00
10
11
00
10
00
10
10
11
10
01
00
10
00
01
00
11
10
11
00
10
00
00
00
10
10
00
00
10
10
00
00
00
10
10
10
10
01
00
10
10
00
00
01
10
10
10
00
10
11
10
11
00
10
11
10
00
00
10
00
10
10
00
11
10
00
01
01
10
11
01
11
00
10
10
11
10
01
01
11
00
00
01
11
00
01
00
01
00
01
10
00
10
10
00
10
00
00
00
01
00
10
01
10
10
10
11
11
10
11
00
00
10
00
01
10
10
00
10
10
00
00
10
10
10
00
10
10
11
10
00
10
01
01
01
00
11
00
01
10
11
00
00
11
10
00
00
00
10
00
00
11
10
00
01
00
00
10
01
00
01
10
10
10
00
00
00
10
10
11
00
10
11
10
01
10
00
00
11
10
01
00
10
01
10
10
00
00
10
11
00
01
10
00
00
00
01
10
11
01
10
00
10
00
00
00
11
10
01
00
00
10
00
00
01
10
01
00
10
00
00
00
10
11
00
00
10
10
10
01
00
00
10
11
10
10
11
00
00
00
11
10
11
10
10
00
10
10
11
00
01
10
00
01
00
11
11
10
00
00
10
10
11
01
01
10
10
10
10
11
00
11
00
10
00
00
10
10
01
00
01
10
00
01
11
10
10
11
10
10
00
00
00
10
01
10
00
10
11
00
01
10
10
00
00
01
00
00
11
10
10
10
10
10
01
01
10
10
01
11
01
11
10
00
00
00
00
10
11
11
00
00
11
00
11
00
00
11
00
00
01
00
11
10
00
00
10
10
10
00
01
00
00
00
10
11
10
00
10
00
00
00
00
11
00
11
10
11
01
01
10
10
10
11
10
00
10
10
10
00
10
10
00
01
00
01
00
10
10
00
00
10
10
01
00
00
10
10
00
01
10
10
01
01
10
10
00
10
10
10
10
00
00
10
01
00
01
00
11
01
00
10
01
00
11
10
01
01
11
11
01
01
10
10
10
10
00
00
11
10
11
10
01
01
01
10
10
10
00
00
01
11
10
11
00
01
00
00
01
10
11
01
10
11
00
00
01
10
10
00
01
10
00
10
10
00
10
00
00
00
01
10
01
00
10
10
00
11
10
10
10
10
00
00
10
10
11
10
00
00
00
10
10
00
01
10
11
11
00
10
00
11
00
00
10
01
01
10
01
00
00
10
10
00
10
10
10
10
00
00
11
00
10
10
00
10
00
10
10
11
01
10
00
10
10
10
01
00
00
00
00
00
11
00
01
01
00
00
00
00
01
00
11
10
00
11
01
00
00
00
11
00
00
01
11
11
01
01
11
11
10
00
00
10
00
10
10
00
11
10
00
10
11
00
01
01
11
00
00
11
11
11
00
00
10
00
10
00
00
11
10
01
00
00
11
01
11
10
11
01
11
10
01
00
00
10
00
11
10
00
00
00
00
11
00
10
10
01
01
11
11
11
11
00
10
01
00
10
10
00
01
01
00
10
00
11
11
01
01
01
00
10
11
10
10
01
10
01
00
10
01
00
01
11
10
10
00
00
11
11
01
01
11
11
10
01
00
10
11
10
00
00
10
10
10
10
10
10
00
00
10
01
10
11
01
11
01
11
01
01
00
11
10
10
10
00
00
11
10
01
11
11
10
00
00
00
01
10
00
00
01
11
11
11
00
00
10
00
11
10
11
00
00
00
10
01
10
10
00
10
11
10
11
00
01
10
10
10
10
10
01
00
10
11
00
10
10
10
01
00
10
00
01
10
00
00
10
10
01
00
11
00
00
11
00
01
00
01
10
10
01
00
11
10
00
00
00
10
11
00
00
01
10
01
00
10
10
11
11
10
00
00
11
10
11
00
10
10
10
00
00
00
11
00
00
10
01
00
00
11
11
01
00
10
01
10
10
10
01
00
01
11
10
00
11
00
00
00
10
10
00
01
10
10
10
10
01
00
00
00
00
00
01
00
10
10
10
00
10
00
10
10
00
01
01
11
00
10
10
00
11
10
00
00
00
00
10
00
01
10
10
10
00
00
00
00
11
10
00
01
00
10
10
00
00
00
10
11
10
11
10
01
00
10
00
00
11
11
10
00
00
11
00
00
01
11
10
11
10
01
10
00
10
10
00
01
10
11
01
00
00
10
01
10
10
00
00
10
10
00
10
01
10
10
10
00
00
11
10
10
10
01
10
00
11
00
00
10
10
10
11
01
10
10
00
00
11
10
00
00
11
11
11
10
00
11
01
00
00
10
10
01
11
10
01
11
10
10
10
00
01
10
11
01
11
10
11
11
01
00
00
10
10
00
11
00
00
00
10
00
00
00
11
11
11
01
10
10
10
00
01
00
01
10
00
10
00
10
01
00
10
10
00
11
00
00
00
10
01
00
10
00
00
10
01
11
10
01
10
10
11
10
00
01
10
00
01
10
10
00
00
11
10
10
00
01
11
00
11
11
01
01
10
01
10
00
01
11
10
00
10
11
00
11
00
00
00
10
10
01
10
00
00
10
10
00
00
10
10
00
00
00
00
10
11
10
01
00
10
11
11
00
00
10
00
11
11
10
10
10
10
11
01
01
00
01
10
10
10
01
10
10
00
10
00
00
10
11
00
00
01
10
11
10
00
01
00
10
01
10
11
10
11
10
11
00
01
10
11
10
11
10
00
11
10
00
00
10
10
00
10
10
00
10
00
00
10
11
10
10
00
10
00
10
10
00
10
10
11
00
00
10
00
10
11
11
00
11
01
10
10
10
00
01
10
11
10
00
00
10
00
00
11
00
00
11
00
11
10
10
01
11
11
00
00
10
10
00
10
00
00
01
01
10
10
00
10
11
11
01
00
10
11
11
01
10
10
00
00
01
01
01
11
11
01
00
01
00
10
10
01
00
10
11
01
00
11
10
01
10
11
10
00
00
11
10
10
10
01
11
10
10
00
00
10
10
10
01
10
01
10
01
00
10
11
11
10
01
10
10
00
00
11
11
10
00
01
11
11
00
11
00
01
01
01
00
00
10
10
10
01
10
10
11
10
01
00
01
11
00
01
10
00
00
00
00
10
10
01
00
10
10
00
01
00
10
00
10
10
00
01
01
10
11
01
01
10
00
10
10
01
00
10
00
10
10
01
00
10
11
00
00
11
10
00
00
11
11
01
01
10
10
11
01
01
10
10
10
00
01
10
00
11
00
01
10
00
01
11
11
00
00
01
00
00
11
10
00
00
10
10
00
01
00
00
11
01
00
00
10
11
10
10
00
10
00
00
10
10
10
10
10
00
00
10
01
10
10
00
01
00
11
00
10
11
10
01
00
11
10
01
10
00
10
10
00
01
00
00
10
10
01
01
11
10
10
00
01
10
00
10
10
01
00
10
01
10
00
00
00
00
11
10
10
10
10
10
10
00
00
10
00
11
10
00
00
10
00
10
10
01
10
11
00
10
00
01
10
01
10
10
11
00
11
00
00
10
01
00
01
10
11
10
00
11
10
10
00
11
11
10
00
01
00
11
10
00
10
11
00
00
00
10
11
01
10
10
01
00
10
10
10
00
10
10
00
00
11
11
11
10
10
10
10
00
01
10
11
10
11
00
10
00
10
00
10
00
01
00
10
01
01
01
10
00
10
01
00
10
10
00
00
11
00
00
10
10
10
10
11
10
11
10
00
11
01
00
11
00
01
10
00
10
11
11
11
10
00
01
00
00
10
00
01
11
10
00
10
11
01
00
10
10
01
10
10
10
11
00
01
11
00
01
10
00
00
11
10
00
00
10
01
01
01
11
01
01
00
10
00
01
10
11
01
11
10
00
10
10
11
01
01
10
10
01
00
11
01
10
11
00
01
10
00
01
00
10
10
01
01
00
10
10
10
00
00
10
00
00
10
01
01
10
00
00
10
10
11
00
00
00
10
10
01
10
01
10
11
01
00
00
00
10
11
00
10
10
10
11
11
10
01
00
10
00
01
01
01
00
10
10
11
10
01
00
10
10
10
00
01
01
00
10
10
10
01
00
10
00
00
11
10
00
10
10
00
00
00
10
00
00
00
01
10
11
10
10
00
10
10
01
10
01
00
00
01
00
10
10
11
01
10
11
00
00
11
01
10
00
11
10
10
00
00
10
10
00
01
11
01
11
01
00
11
10
11
10
00
00
10
00
01
11
10
10
01
10
11
00
00
10
01
00
11
11
11
01
00
00
00
10
00
01
11
11
11
00
10
10
11
10
10
10
01
01
00
10
01
00
10
10
01
10
00
10
01
00
10
00
01
00
00
00
10
01
01
00
10
00
10
11
11
10
01
10
11
10
00
10
00
01
10
01
01
00
10
01
01
00
10
11
11
00
00
10
10
10
11
00
00
01
10
10
00
10
11
00
10
11
01
00
11
00
10
11
00
01
10
01
01
10
01
01
01
10
00
00
10
11
11
11
01
00
10
10
00
01
00
00
10
11
00
00
11
10
01
00
11
01
00
01
10
00
01
10
10
10
00
00
11
10
00
11
11
11
10
10
01
00
11
10
00
10
10
00
00
11
10
00
11
00
00
10
00
10
11
00
01
00
10
11
10
01
10
10
00
10
11
01
11
10
10
01
10
01
10
10
00
00
10
11
01
01
00
10
11
10
10
01
10
11
10
10
01
00
00
00
10
00
11
01
00
00
10
11
00
00
10
11
00
11
10
00
01
10
10
10
10
00
01
10
00
00
10
10
00
01
11
00
00
10
10
01
10
01
00
10
00
10
11
00
00
10
00
00
10
10
00
01
10
00
10
10
01
00
10
01
00
10
11
01
00
00
10
10
00
00
11
11
11
10
00
01
10
11
00
00
10
10
10
10
10
10
11
00
11
01
10
00
10
11
00
00
10
11
00
00
01
10
10
01
01
10
10
00
01
10
01
10
00
11
11
11
00
11
10
00
00
00
10
10
10
01
00
00
00
10
10
11
10
10
10
01
10
00
11
00
00
00
10
10
00
10
01
11
10
00
10
10
11
01
01
01
11
00
01
00
01
11
10
00
11
00
00
11
10
10
00
11
00
10
01
00
01
01
00
01
11
11
01
01
10
11
10
00
00
11
10
10
10
00
01
00
10
00
10
10
00
10
01
10
01
01
01
00
00
10
01
00
10
00
11
00
10
00
01
10
01
00
10
10
01
01
10
10
00
00
10
11
00
10
00
00
01
00
00
10
00
11
10
01
11
10
01
10
10
01
10
01
10
00
00
01
11
10
11
10
00
01
11
10
10
10
10
01
00
00
00
10
10
10
01
10
00
00
11
00
11
00
00
11
10
00
00
00
10
00
00
10
10
10
00
00
10
00
10
10
10
01
00
01
01
11
00
00
01
10
01
00
10
11
10
00
00
00
11
11
01
00
11
00
01
00
01
10
10
10
00
10
00
10
00
00
10
11
10
11
00
01
00
01
11
11
10
10
11
00
00
11
10
11
00
00
00
01
00
00
10
10
11
11
11
01
10
11
00
00
01
10
11
00
01
11
00
01
10
00
01
11
00
01
10
11
10
00
01
10
00
00
00
10
10
10
11
00
00
00
10
11
10
00
00
01
00
00
00
10
11
01
00
01
00
10
01
10
01
11
10
11
11
00
00
10
11
01
00
10
11
00
11
00
10
01
10
10
00
01
00
00
00
00
10
00
11
10
11
10
10
00
10
10
00
10
00
00
01
10
10
11
01
00
01
11
11
00
10
11
00
10
00
00
01
10
10
11
11
00
11
00
00
01
10
10
00
00
01
10
10
10
11
00
10
01
11
11
00
10
00
00
00
10
10
01
01
11
10
00
10
00
11
00
00
11
11
00
10
01
01
01
11
10
00
00
10
10
11
10
01
00
00
00
10
01
11
01
10
01
01
00
11
00
01
11
10
00
10
00
00
00
11
01
00
11
10
10
01
00
01
10
10
01
00
10
10
10
00
00
10
11
10
00
00
11
11
10
00
00
00
00
01
11
11
00
00
10
10
00
00
00
10
01
10
11
00
00
11
11
00
10
10
00
01
01
10
10
10
00
10
01
00
00
10
11
00
10
11
10
00
11
11
11
11
01
11
00
01
10
11
00
01
01
10
00
00
00
10
00
10
10
10
01
00
10
00
10
10
01
00
10
11
00
11
10
10
00
00
10
00
01
10
10
00
01
10
11
10
01
10
10
10
11
01
00
01
10
11
10
01
00
10
10
10
10
00
01
01
00
10
00
11
00
00
10
10
00
01
10
11
11
00
10
10
10
00
10
00
10
01
01
10
10
00
00
10
11
11
00
01
11
11
00
10
11
10
00
10
00
00
10
00
10
00
00
10
10
00
01
10
01
00
10
10
00
01
10
00
00
10
00
01
00
10
01
00
10
01
10
00
11
10
00
11
00
00
00
01
10
10
10
01
11
10
10
00
00
00
10
10
00
00
00
00
00
01
10
10
10
00
10
01
00
01
11
11
00
00
10
10
00
01
10
10
01
00
10
01
01
11
10
01
11
11
00
00
10
00
00
10
00
01
10
10
11
10
01
01
10
11
11
10
10
00
00
10
11
00
01
10
11
11
10
10
00
10
11
11
00
00
00
00
11
11
00
00
00
10
11
10
11
00
00
00
11
00
11
10
00
00
11
10
00
00
10
00
01
10
11
11
10
10
01
10
01
00
10
11
00
11
11
11
00
10
00
11
10
00
01
01
11
10
01
00
01
11
10
00
00
00
11
11
00
11
10
11
11
00
11
11
10
00
00
10
10
00
00
01
11
11
11
11
00
00
00
01
10
11
01
00
01
00
00
11
10
11
11
10
00
01
10
11
10
00
00
10
00
00
10
10
10
01
11
01
10
01
10
10
10
00
01
11
00
01
10
10
11
10
00
00
10
10
00
00
10
10
01
00
10
01
01
01
10
10
11
00
10
00
00
10
01
00
11
00
10
10
00
10
00
00
10
10
00
00
10
11
00
01
10
10
10
00
00
11
00
01
00
10
00
10
10
11
01
11
00
10
00
10
00
01
10
10
00
00
01
00
00
00
00
00
10
11
00
00
10
10
01
10
10
11
00
01
10
01
00
01
00
00
00
10
00
01
10
00
00
11
10
00
10
10
11
10
01
01
10
10
10
01
00
10
00
11
01
10
00
00
00
00
10
10
11
01
00
11
01
00
10
00
00
10
10
00
10
10
10
00
01
00
00
10
01
01
00
01
11
00
00
00
10
00
11
10
10
10
11
10
11
00
00
10
00
10
01
01
11
11
01
01
00
00
10
11
01
01
11
10
00
11
10
00
00
10
00
11
11
00
00
11
00
00
10
00
01
10
11
10
01
01
10
11
01
10
00
01
10
00
01
11
11
00
10
00
11
00
00
10
10
00
00
01
01
00
10
00
11
10
10
01
11
00
10
10
00
01
00
01
11
01
00
11
10
10
11
01
10
11
10
00
11
11
00
10
00
00
00
10
10
11
11
01
01
01
10
01
00
10
01
00
10
11
10
01
11
10
10
01
01
11
10
01
00
10
01
10
10
01
10
10
01
01
10
10
10
11
00
10
01
11
01
11
10
00
10
00
01
01
11
10
00
01
00
10
10
10
00
10
11
10
01
10
00
01
10
01
00
00
10
11
10
01
01
01
10
01
10
01
00
10
00
01
11
10
00
10
10
00
10
10
10
10
00
10
00
00
00
10
00
11
00
01
10
11
10
00
00
01
10
10
10
00
10
00
11
11
11
10
11
01
11
01
00
00
11
01
00
10
10
01
11
10
10
10
00
00
00
01
00
00
10
00
00
00
00
10
00
11
10
00
00
00
01
11
00
10
10
00
00
10
11
00
10
00
10
00
00
11
01
11
00
11
01
11
00
11
01
00
10
11
10
11
10
00
00
00
01
01
11
01
10
11
10
11
10
10
00
01
11
11
00
00
10
10
00
10
10
00
10
01
10
10
10
01
11
00
11
10
00
00
10
10
01
10
10
10
10
00
11
10
00
10
01
10
00
00
00
11
00
10
01
00
01
01
00
10
00
10
10
00
00
00
00
00
00
10
10
11
10
00
11
01
10
00
00
10
01
01
00
10
10
01
10
10
00
00
01
11
11
00
00
10
00
10
00
00
10
10
00
11
10
11
11
10
00
10
10
00
10
10
10
01
11
00
00
00
10
11
10
01
11
11
10
10
01
11
10
01
00
10
10
01
10
11
01
00
00
10
11
01
01
01
10
10
00
01
01
11
11
00
00
10
01
11
00
01
10
11
10
10
00
11
11
01
00
11
11
10
00
01
11
10
00
00
11
00
00
00
11
00
10
00
01
11
00
10
01
10
00
00
00
00
00
10
10
11
00
01
10
00
00
10
00
10
11
00
00
00
10
11
01
00
10
10
10
01
11
10
00
00
10
11
00
10
01
01
00
10
00
00
10
10
00
00
00
11
10
00
10
01
11
00
00
10
00
01
11
11
11
01
10
00
10
00
00
10
00
00
11
00
01
01
00
00
00
00
00
01
10
10
01
00
01
10
10
00
11
11
00
10
10
11
10
00
00
11
10
00
00
01
10
00
00
10
10
00
00
00
01
10
10
00
10
10
10
11
10
00
01
00
10
10
11
00
01
10
01
01
10
00
11
10
11
01
00
10
00
00
10
00
00
10
11
00
11
00
00
01
11
10
10
11
10
01
11
10
00
10
00
01
11
10
10
00
00
11
00
10
11
00
11
01
00
11
00
11
11
10
10
00
00
11
00
01
01
11
10
00
10
00
00
10
01
00
10
10
11
11
10
01
11
00
10
01
10
10
11
01
10
10
00
11
00
01
10
00
10
00
10
00
00
11
10
00
01
10
11
00
00
10
10
00
00
10
11
00
10
00
00
00
11
11
00
01
11
10
01
00
00
10
00
00
00
00
10
10
10
10
11
00
00
11
00
10
00
10
10
11
00
10
01
00
00
11
00
00
01
01
01
10
11
00
00
00
10
10
10
00
00
00
00
10
10
10
10
10
00
11
00
01
10
10
00
10
10
00
11
10
00
01
00
00
00
00
00
11
10
00
10
00
11
01
10
10
00
00
11
01
10
11
00
00
10
01
01
01
00
11
01
10
10
10
11
00
10
00
00
01
01
11
00
00
11
11
00
10
10
00
11
10
10
11
11
10
01
00
10
11
10
10
10
10
00
10
10
00
01
00
10
01
11
00
00
00
10
10
11
11
00
00
01
10
11
10
10
00
01
10
00
01
10
10
11
10
00
00
00
10
01
01
11
10
01
11
01
00
10
10
00
00
10
01
11
00
01
10
10
01
00
00
11
10
11
00
10
01
10
10
10
10
01
00
01
10
00
01
11
11
00
01
11
11
01
11
11
01
10
10
01
01
10
11
00
01
01
10
01
10
11
00
01
10
10
01
10
01
00
11
00
10
10
00
00
10
00
01
00
01
00
01
11
10
00
00
00
00
00
10
11
00
00
00
11
10
01
01
11
10
00
11
11
11
01
01
11
10
10
01
00
10
01
10
00
00
10
10
00
10
11
00
01
11
10
11
10
01
11
10
00
01
11
10
10
00
00
00
10
11
00
01
00
00
10
10
10
01
11
10
10
11
10
01
11
10
10
00
00
11
10
00
00
11
10
11
00
11
10
11
10
00
10
10
01
00
01
00
00
10
00
10
10
10
00
10
01
00
11
10
10
00
10
10
10
01
00
10
01
00
11
10
00
00
10
11
10
11
10
00
11
10
10
10
00
00
01
10
00
01
10
10
10
10
11
10
00
11
00
00
01
10
10
01
01
01
10
11
00
00
11
10
10
10
00
00
10
00
00
01
10
00
00
01
01
10
01
10
10
10
01
00
11
10
00
01
10
11
10
10
00
10
10
01
00
10
01
10
10
00
01
00
01
10
10
01
00
00
00
11
10
10
00
11
10
01
10
11
00
01
10
00
00
00
00
10
10
11
01
10
01
10
10
11
00
01
01
10
10
01
10
10
10
01
00
10
00
11
00
11
10
00
01
10
00
01
10
10
11
00
10
11
00
10
00
10
00
01
00
00
11
10
00
01
01
10
01
00
00
11
01
10
00
01
11
11
00
10
01
10
00
01
01
10
00
01
10
00
10
10
00
10
01
00
01
11
00
00
00
10
10
11
01
00
11
01
00
11
10
10
11
00
01
10
10
10
00
10
10
00
00
01
10
00
00
00
10
10
01
00
00
10
00
10
00
00
11
00
00
11
01
00
10
11
00
00
10
11
10
00
00
10
10
10
10
00
10
10
01
00
00
10
00
00
11
01
11
10
10
00
00
10
00
01
10
01
10
11
00
11
00
10
00
00
10
11
11
01
00
11
00
00
01
10
01
00
01
11
01
01
10
10
00
01
11
10
00
00
00
01
11
00
00
10
00
01
00
10
10
00
01
10
10
00
00
00
10
10
10
01
11
00
10
10
00
10
00
11
10
11
01
00
01
00
01
00
10
11
10
11
00
10
10
10
00
00
00
10
11
10
00
01
10
01
00
00
10
10
10
10
00
01
10
01
10
00
00
10
10
01
00
10
00
10
10
00
10
01
10
10
00
10
11
00
01
11
10
00
00
11
10
11
00
11
11
00
01
10
01
00
01
10
10
10
10
00
00
11
10
01
10
00
10
10
00
01
00
10
01
00
11
11
10
00
00
10
11
01
10
11
00
00
01
10
11
10
10
00
00
10
10
01
01
00
11
11
11
10
00
00
00
00
00
10
10
11
10
10
10
01
10
00
10
11
01
00
10
10
01
00
10
00
00
10
10
10
00
10
11
00
01
11
11
11
00
10
10
01
11
10
00
00
00
10
00
01
10
11
00
10
11
10
00
00
00
11
10
00
01
01
10
11
00
00
01
11
11
10
10
01
00
00
10
00
00
01
10
11
10
01
00
10
11
01
01
01
00
11
10
10
00
01
00
11
10
00
11
10
10
10
11
01
00
10
10
00
10
11
11
10
10
10
01
10
10
01
00
10
11
00
11
10
00
01
10
10
00
10
11
00
11
00
01
10
01
01
11
00
00
00
11
10
01
01
01
00
11
10
00
11
10
01
10
01
00
11
00
01
10
11
10
00
11
10
10
00
00
10
10
00
10
10
11
10
10
10
10
10
10
10
00
10
10
01
10
00
00
10
00
00
00
10
00
01
10
00
00
00
10
00
10
10
00
10
00
01
11
01
00
10
00
10
11
01
00
11
11
10
00
00
10
01
00
10
00
00
01
11
01
11
10
10
10
10
00
00
01
10
00
10
11
10
00
00
10
00
10
10
00
11
11
00
11
00
10
11
01
00
00
00
10
01
10
00
01
10
11
00
00
11
11
11
00
00
11
11
10
00
11
00
10
10
10
01
01
10
00
10
00
11
00
01
11
10
00
00
10
10
11
01
11
11
00
10
01
01
11
00
10
11
11
00
00
10
10
10
00
00
01
10
10
00
11
10
10
11
11
00
00
00
00
11
00
01
01
10
10
00
00
10
01
11
10
10
11
10
10
00
11
10
00
01
11
10
10
10
01
10
00
00
11
10
00
11
00
00
10
00
01
00
11
01
11
00
00
10
00
00
10
11
01
11
11
11
11
00
11
00
00
00
11
11
01
10
11
10
10
11
00
00
01
00
10
00
00
11
10
00
00
00
10
10
00
00
10
00
01
10
00
00
10
00
00
10
00
10
10
01
00
10
10
00
01
10
01
00
10
10
01
01
10
00
01
10
10
10
11
11
10
10
00
00
00
11
10
10
11
01
10
01
00
10
11
00
11
10
00
11
00
00
00
01
10
10
10
00
00
00
11
01
11
11
00
10
11
10
01
00
11
10
00
01
10
00
00
10
11
11
00
00
00
10
00
10
00
01
00
10
00
11
00
01
00
00
11
11
10
10
00
00
01
10
10
10
01
00
11
00
10
11
00
11
10
01
11
00
00
11
00
01
10
11
10
01
01
10
00
00
10
11
10
00
10
10
00
01
00
10
00
10
01
10
00
00
01
10
10
00
00
01
10
00
01
10
10
01
00
10
10
00
10
10
10
01
11
11
10
10
00
10
10
00
00
10
01
00
00
00
01
10
10
10
10
10
00
00
01
10
10
11
00
11
00
10
10
11
01
00
10
10
01
10
01
10
10
10
10
00
10
10
01
10
10
01
10
11
10
01
11
00
00
00
00
00
10
11
00
10
11
00
00
00
00
01
10
10
11
10
10
10
10
01
00
11
00
00
11
10
00
00
10
10
11
00
11
01
01
10
10
10
10
10
00
10
00
00
00
11
11
00
00
11
00
10
10
00
00
00
10
10
10
01
11
01
00
00
00
00
11
00
00
10
11
11
10
11
11
00
10
10
11
01
11
00
00
11
10
10
10
00
00
11
11
10
01
10
10
11
10
00
01
10
10
01
01
10
10
00
01
11
00
01
10
00
10
10
00
11
10
01
00
10
00
11
00
10
11
01
10
00
10
11
00
00
00
00
01
00
11
11
10
10
00
10
00
10
10
01
00
10
00
10
10
01
10
00
10
00
00
00
11
00
00
10
10
00
00
01
10
10
00
00
00
10
10
00
00
11
11
10
01
10
11
10
11
00
10
10
00
00
11
11
01
11
10
00
00
10
10
00
11
11
01
00
00
00
11
01
10
00
10
10
01
00
00
00
00
00
11
01
00
01
10
11
10
00
01
10
10
00
00
01
00
10
11
10
10
00
10
11
01
01
10
01
01
01
11
10
00
00
10
10
11
10
10
10
00
11
10
11
10
10
10
00
10
11
01
00
11
00
01
10
01
00
10
10
00
10
00
00
10
10
01
11
00
10
11
00
00
01
00
10
11
01
00
00
00
11
00
00
00
10
01
00
00
00
11
11
00
01
11
00
00
10
00
11
10
00
10
11
10
00
00
10
01
00
10
00
00
10
11
01
10
10
01
00
00
10
01
11
00
00
11
11
01
00
10
11
00
11
00
00
00
00
11
11
01
00
00
11
10
11
00
10
11
10
10
00
11
10
00
01
00
00
00
10
00
00
10
10
10
00
00
00
10
00
10
00
10
11
01
11
11
11
10
01
10
00
00
10
01
00
11
00
00
10
00
01
10
10
11
11
01
00
10
10
10
10
00
00
01
01
11
11
00
10
10
00
00
01
10
01
10
10
00
00
10
11
00
10
00
10
00
00
10
10
00
01
01
11
00
11
10
11
00
11
11
00
10
10
10
10
01
00
10
11
01
10
11
00
10
00
00
10
01
11
11
00
00
01
00
01
00
11
10
00
00
10
10
00
10
10
10
10
10
01
00
00
01
10
01
00
11
11
00
00
10
11
01
00
00
00
11
00
11
10
00
00
10
10
10
10
10
00
10
10
01
10
00
10
10
10
00
10
10
00
01
11
01
11
11
00
10
10
00
00
10
11
10
10
10
10
00
10
01
00
10
10
00
10
10
10
00
00
10
00
11
00
01
11
01
11
00
01
00
10
10
11
00
01
00
10
10
11
00
10
11
00
00
11
01
00
11
00
11
00
00
10
11
00
00
00
00
10
11
00
10
10
00
10
10
00
10
10
00
00
10
10
00
10
10
00
00
00
00
10
00
01
10
10
00
01
11
11
10
10
10
01
00
10
00
01
00
00
01
10
00
01
00
10
00
10
10
00
10
01
11
11
00
11
00
11
01
01
01
11
10
11
01
01
00
10
00
10
10
10
01
00
11
10
00
01
00
10
11
11
00
11
00
00
01
01
10
00
10
10
01
11
10
00
01
00
00
01
11
11
00
10
00
00
00
00
11
10
11
10
11
00
00
10
01
10
10
10
01
01
10
10
10
10
10
00
00
10
10
10
00
11
10
00
01
10
01
00
10
11
11
00
01
10
11
11
01
00
00
11
00
00
10
10
00
10
00
00
00
11
10
10
01
00
00
01
00
11
11
00
10
01
00
11
10
00
11
00
00
10
00
01
00
00
10
11
00
00
11
11
00
00
10
10
01
11
00
00
00
11
00
11
10
00
10
01
11
10
01
01
10
11
00
00
00
00
11
01
01
11
11
01
10
11
01
10
10
10
00
01
01
10
10
00
00
10
10
00
10
01
00
10
11
00
00
10
00
00
00
11
01
01
10
00
00
11
01
11
00
00
11
10
01
00
10
11
11
11
11
01
00
10
10
11
01
00
11
10
00
01
10
00
10
11
01
01
10
11
10
11
01
00
01
10
11
01
10
01
10
11
00
01
01
11
10
01
10
00
00
10
11
00
00
01
10
10
00
01
00
01
00
11
10
00
01
00
10
10
01
01
01
00
00
00
00
01
10
01
00
10
00
00
00
10
00
00
10
00
00
00
10
10
10
01
00
11
11
10
10
10
00
00
00
00
10
00
11
00
00
10
10
00
10
00
00
00
00
10
00
11
10
00
01
10
00
10
10
00
10
10
10
11
00
11
10
10
10
00
01
10
00
01
10
01
01
11
10
00
11
00
01
10
10
00
01
10
11
10
00
00
10
11
10
01
00
00
00
10
00
00
11
11
00
00
10
00
11
10
01
11
01
10
10
00
10
00
01
11
10
10
10
01
01
10
10
10
01
01
10
00
10
11
00
11
10
10
00
11
00
01
00
11
01
00
01
00
00
00
10
10
00
01
10
10
00
10
11
10
10
11
01
01
10
00
10
10
10
00
00
10
10
10
01
01
00
00
10
10
00
00
11
01
10
00
11
01
01
10
00
10
10
10
11
00
11
10
01
01
11
00
00
00
11
10
00
11
10
10
00
00
01
01
00
10
01
00
11
10
10
11
00
00
01
10
01
01
11
10
00
01
10
00
01
00
11
00
00
10
10
00
00
01
10
11
00
00
01
00
11
10
11
00
00
11
10
10
00
10
10
00
00
00
00
01
00
10
00
10
11
00
10
11
11
10
00
10
01
10
01
11
10
01
00
00
11
11
10
10
00
01
10
01
00
00
00
10
11
00
00
11
00
10
10
01
00
00
10
01
00
10
11
00
00
10
00
10
10
01
10
11
10
00
00
00
01
01
00
11
00
10
10
10
11
10
00
00
00
10
10
00
11
10
00
00
11
11
10
11
00
10
11
10
11
00
00
10
10
10
00
10
10
00
00
11
01
11
11
00
11
10
00
00
01
11
10
00
00
11
00
01
10
11
10
10
10
10
00
10
00
01
00
00
11
00
01
10
01
00
00
10
00
10
10
10
01
01
10
01
00
10
10
10
00
00
01
10
10
01
00
01
10
10
10
00
00
10
10
11
00
01
00
00
00
10
10
11
11
00
10
00
01
01
10
10
00
10
11
01
10
01
10
01
00
11
00
00
00
00
11
11
10
01
11
10
00
10
01
01
10
00
10
00
10
00
01
10
00
10
01
11
10
10
01
00
10
00
10
01
00
00
00
01
01
10
10
11
10
00
01
10
00
10
10
00
00
00
10
00
10
10
01
10
11
00
10
11
00
01
10
00
00
10
10
01
10
00
00
11
10
00
10
10
11
01
00
01
10
11
01
10
11
01
10
00
11
10
01
00
00
01
00
00
10
10
10
10
00
10
10
01
00
01
11
10
01
11
10
11
00
00
00
01
00
00
10
10
01
00
11
10
00
00
10
01
00
10
11
00
00
10
11
00
01
11
10
10
01
10
00
00
10
00
10
10
00
11
11
00
01
10
10
01
10
00
10
11
00
00
10
10
01
00
00
10
10
11
10
00
01
10
10
10
00
00
10
00
01
01
10
10
00
00
00
10
10
00
10
01
01
10
10
01
01
01
00
10
11
01
00
00
11
00
11
00
10
10
10
00
01
11
10
10
00
01
01
10
10
00
00
11
11
00
11
10
00
10
10
00
00
00
10
10
00
11
11
01
01
10
11
10
10
11
01
01
10
11
00
10
10
00
00
11
01
01
10
11
00
00
11
11
01
00
01
10
10
01
00
11
10
11
01
00
11
10
00
10
00
00
11
00
10
01
01
10
00
10
00
10
01
00
10
00
10
00
01
00
11
01
10
11
11
00
11
11
01
10
10
00
01
10
11
10
10
00
00
10
10
10
01
01
00
10
01
10
00
00
11
00
00
11
10
11
11
10
00
10
10
11
00
00
10
00
00
10
00
00
00
10
01
00
01
00
10
10
10
11
10
11
00
10
10
10
10
11
01
01
00
10
00
10
00
11
10
00
11
00
01
11
01
00
10
10
00
00
11
00
10
11
10
01
10
01
00
11
10
10
00
10
00
00
11
00
00
11
00
00
01
00
10
00
00
11
00
00
00
10
00
01
10
00
00
10
10
11
01
00
11
00
00
00
01
01
01
01
10
11
10
10
00
11
10
00
00
11
01
10
11
10
10
10
11
10
00
10
10
10
10
10
01
11
11
01
01
10
01
10
01
10
10
01
00
00
01
11
01
10
00
01
00
01
10
10
00
01
10
01
01
00
01
01
10
11
00
00
10
00
01
01
01
10
10
10
00
01
00
11
10
00
10
00
10
10
11
00
00
11
00
10
11
11
00
11
10
01
01
11
01
10
11
00
10
10
10
00
10
00
00
10
10
01
00
01
00
00
00
11
00
00
00
10
00
10
10
00
10
10
01
11
10
00
00
10
00
00
11
00
00
00
10
10
10
00
00
01
00
00
10
10
10
10
10
00
11
10
00
11
10
00
00
10
11
11
00
10
10
00
00
00
11
11
00
00
00
00
00
10
10
00
00
11
01
00
11
10
00
11
11
11
00
10
10
10
10
00
01
10
10
11
11
00
00
01
00
10
00
00
10
11
00
10
11
11
10
00
11
00
10
10
01
00
01
10
00
00
10
11
10
10
01
01
10
00
00
00
00
01
10
01
01
10
00
10
10
00
10
11
10
00
00
01
10
01
01
11
01
10
10
01
00
10
10
00
01
00
11
01
01
00
10
11
00
01
10
11
00
00
11
01
01
10
10
00
01
00
00
10
00
01
00
11
10
00
10
10
01
01
00
10
10
11
01
00
10
11
11
00
01
01
10
10
10
11
11
10
01
10
00
11
01
01
00
11
11
11
00
10
00
00
00
10
10
00
00
11
11
10
00
10
00
10
00
01
00
10
11
00
00
10
00
10
10
00
10
00
00
10
10
11
00
11
10
10
01
11
11
10
10
01
10
00
10
00
00
10
10
10
01
00
10
11
00
10
10
11
11
00
00
00
10
10
00
10
11
00
11
00
00
11
00
11
00
11
00
10
11
00
00
11
01
00
10
10
01
10
00
00
01
00
11
10
10
11
10
00
00
10
10
11
10
00
10
11
10
10
10
01
10
11
10
10
00
00
11
00
01
10
01
10
11
10
01
10
10
10
10
01
00
11
01
10
01
10
00
10
10
00
00
10
10
00
01
11
11
11
00
00
10
01
11
11
01
00
11
00
10
01
01
10
10
10
01
00
10
01
00
10
10
00
10
10
01
10
00
00
11
01
11
01
10
00
10
10
11
00
00
10
10
11
00
00
10
10
10
00
00
10
01
10
10
10
00
00
10
00
10
00
00
01
00
11
00
10
01
01
11
11
00
00
10
00
11
00
00
10
10
00
01
11
10
00
10
01
01
11
10
01
10
10
11
10
00
00
10
11
10
01
00
00
10
11
00
00
11
11
00
01
01
01
01
00
10
00
00
10
11
11
00
10
10
01
10
10
00
00
10
10
00
11
01
00
00
00
10
01
10
10
00
00
10
10
00
00
11
10
00
11
00
01
00
00
10
10
00
10
10
00
01
00
10
10
00
10
10
10
01
00
10
00
10
01
10
01
10
00
00
10
01
01
00
11
11
00
00
11
00
00
00
11
10
10
10
10
10
00
10
00
10
10
00
11
00
01
11
11
00
01
11
00
00
11
10
10
00
01
11
00
01
11
01
10
01
01
00
00
10
10
01
00
11
00
01
00
10
10
10
11
01
00
01
00
10
01
01
10
00
00
11
10
00
00
10
01
00
10
00
10
10
10
10
10
00
10
00
10
01
11
01
00
10
00
00
01
10
11
00
10
01
10
10
11
00
00
11
00
00
00
01
00
00
10
10
10
00
11
01
01
00
10
00
10
00
00
10
01
00
11
01
11
00
10
10
00
00
10
10
01
01
00
10
10
01
10
11
11
11
01
01
10
00
11
10
00
01
11
11
00
00
10
00
10
00
10
10
00
11
11
01
00
01
00
00
00
01
10
01
00
11
00
00
10
00
01
10
11
01
01
11
10
11
11
01
11
11
01
00
00
00
00
10
10
01
00
00
00
11
00
00
11
00
00
10
10
00
11
00
11
00
01
00
10
10
01
01
11
01
11
11
10
00
00
10
00
11
11
00
01
10
00
10
00
00
10
10
00
10
11
11
00
00
10
11
10
10
00
00
10
11
00
00
10
01
10
10
10
01
00
11
00
10
11
00
10
11
10
00
11
11
00
00
10
00
11
11
00
10
00
00
01
00
00
10
11
11
01
01
00
00
11
01
01
11
00
01
01
10
11
11
00
10
10
01
00
10
10
00
00
00
00
11
10
00
01
00
10
01
10
10
10
00
00
00
11
10
11
01
10
11
10
01
00
00
11
00
10
10
10
01
01
10
11
00
00
10
11
00
11
00
00
00
10
11
00
00
10
10
00
00
01
01
00
00
00
10
10
10
10
11
10
01
10
00
01
10
11
10
11
00
10
01
11
11
01
00
10
11
10
10
00
00
11
10
00
10
10
10
11
00
01
10
11
11
10
11
10
11
00
00
00
01
11
10
10
10
10
00
01
10
11
00
10
10
01
10
00
10
10
10
10
01
01
10
01
01
01
00
00
11
00
01
10
00
00
10
10
01
10
10
00
00
10
01
00
10
00
01
10
10
10
00
01
10
01
10
11
01
10
00
01
11
00
10
10
00
01
10
00
10
10
01
01
11
11
10
01
00
00
11
00
01
10
00
00
00
01
00
11
10
10
01
10
01
10
11
00
10
10
00
10
11
10
01
00
11
00
10
10
11
11
01
10
00
11
11
10
10
10
01
00
10
01
10
00
11
11
10
01
01
00
10
11
10
10
11
00
00
11
01
00
10
11
10
10
00
11
11
00
00
01
10
10
11
00
10
11
00
01
10
00
00
00
00
10
00
01
10
11
00
11
01
10
11
00
10
10
00
01
00
10
10
10
00
10
11
11
00
00
00
10
00
10
10
01
01
11
00
10
10
11
10
10
01
01
11
01
10
01
00
01
00
11
10
10
00
00
01
10
00
10
10
00
11
10
10
10
00
01
00
00
11
10
10
10
10
00
00
10
01
00
00
00
00
00
10
10
01
01
10
10
11
10
00
10
01
10
00
01
10
00
00
00
00
00
01
10
10
10
00
01
00
11
10
00
10
10
11
10
10
01
01
01
10
10
00
00
10
10
10
10
01
00
00
10
10
10
00
10
00
00
01
11
11
10
01
00
10
11
00
01
10
01
10
01
00
00
00
11
10
00
10
00
01
00
10
10
10
11
10
10
01
11
01
00
10
10
00
00
10
11
00
00
10
10
11
10
10
01
11
10
00
00
11
00
10
10
00
00
10
10
10
01
11
11
10
10
11
10
00
00
01
01
11
01
10
11
10
10
00
10
01
00
01
10
10
00
11
10
10
10
00
10
00
10
11
00
00
01
10
10
10
10
00
00
00
00
10
10
11
10
00
01
10
11
01
11
10
01
10
10
00
10
10
00
10
00
10
00
01
00
10
10
10
00
00
10
00
11
10
01
10
00
01
10
11
11
00
01
10
10
01
11
11
10
00
01
00
01
10
00
01
11
10
01
01
10
01
10
10
10
10
10
10
10
01
11
00
01
00
00
10
00
10
10
10
00
00
00
00
10
00
00
00
11
00
00
00
10
01
00
10
00
10
11
10
00
00
11
11
10
11
00
10
00
10
11
10
01
00
10
10
00
11
10
01
01
11
11
01
11
01
00
10
01
10
11
00
01
11
10
11
10
11
10
10
00
00
00
10
11
00
10
00
10
00
00
11
00
00
10
00
00
00
10
01
10
10
10
00
11
00
00
11
00
00
00
10
10
01
10
10
10
11
11
11
00
01
10
00
10
10
00
01
10
11
01
11
01
10
00
10
01
01
00
10
10
01
10
00
11
00
11
00
00
10
10
11
00
00
00
11
11
10
10
01
10
11
01
00
10
01
10
10
10
00
10
10
10
11
10
01
00
00
11
01
01
00
11
11
10
11
00
01
10
10
11
00
01
00
01
10
00
11
01
00
10
11
00
00
11
00
10
10
01
01
00
10
00
10
01
10
10
00
01
11
10
10
01
00
00
01
10
00
00
10
11
00
00
10
01
11
00
10
00
10
11
00
00
10
11
11
10
00
00
01
00
10
10
00
11
01
01
11
01
10
11
10
11
00
01
00
10
10
00
10
10
11
00
00
11
00
10
10
00
00
01
01
00
10
11
01
11
01
11
00
10
00
00
00
10
11
10
01
00
10
01
01
01
01
10
10
10
11
00
00
11
10
10
01
10
00
00
10
01
00
11
01
01
11
11
01
00
11
10
10
11
10
10
00
10
00
10
10
00
10
00
01
01
10
00
00
01
11
00
00
10
10
01
10
00
00
10
10
00
11
10
10
01
01
11
10
01
11
11
00
00
01
10
00
00
10
01
10
00
00
11
11
10
01
10
11
00
00
00
00
11
10
00
01
10
11
00
01
11
10
10
00
10
11
00
11
10
00
10
10
10
00
11
10
00
11
11
10
10
00
00
11
00
11
00
01
11
11
00
00
00
00
10
11
10
01
01
01
00
11
00
10
10
00
00
11
10
01
10
10
00
00
10
11
00
11
10
00
10
10
00
00
00
11
00
01
00
10
11
00
00
01
10
01
10
10
11
00
10
10
00
11
10
00
00
01
10
01
11
00
10
10
00
00
10
10
10
10
00
00
00
10
00
01
00
00
11
10
11
00
10
10
11
00
11
00
10
00
11
10
00
00
10
10
11
10
11
10
00
00
01
00
10
11
00
10
01
00
00
11
10
01
10
10
10
11
00
00
00
11
00
10
10
10
11
11
00
11
01
00
00
10
00
00
10
10
00
01
11
00
11
10
10
00
00
01
00
01
10
00
10
11
00
00
01
10
01
10
11
00
00
11
00
01
00
01
10
10
00
10
01
00
10
10
00
10
10
01
01
01
01
10
10
11
00
00
00
00
10
10
00
11
00
10
11
11
00
11
01
00
11
10
00
00
10
10
00
01
11
01
10
00
00
10
01
00
11
10
10
01
11
00
00
10
10
01
10
11
01
11
01
01
00
01
01
10
10
00
11
10
00
00
11
10
11
00
00
00
01
11
10
10
00
01
10
10
00
00
11
10
10
01
00
10
10
10
00
10
00
11
11
10
01
01
10
00
11
01
01
10
10
11
10
01
00
11
01
00
10
00
00
10
10
00
10
10
01
00
10
10
10
10
00
01
00
10
00
00
11
10
10
00
00
10
00
01
10
00
00
00
10
11
00
10
10
11
00
10
10
00
01
11
00
00
00
11
10
00
10
10
10
00
10
00
01
10
10
00
10
00
11
01
10
11
00
10
00
11
10
11
10
00
00
10
00
01
00
11
11
10
10
00
11
10
00
00
10
10
00
00
01
10
10
10
00
11
00
00
11
00
00
10
11
00
00
10
10
10
00
11
11
11
00
01
11
10
00
10
00
00
10
11
00
00
00
11
10
01
10
10
01
00
10
01
10
10
10
01
00
01
00
10
10
00
10
10
01
00
11
00
11
00
00
01
00
10
10
00
10
10
00
00
10
11
01
00
00
01
10
00
01
11
01
01
11
10
11
10
01
01
10
10
01
00
11
00
11
10
00
11
10
10
00
10
00
00
10
10
00
00
00
10
10
00
10
00
00
10
01
01
11
10
10
01
10
10
01
10
10
10
01
01
10
10
00
11
00
01
10
00
00
10
01
10
10
01
00
11
10
00
00
01
00
10
10
01
10
10
01
01
00
01
01
11
10
00
11
10
11
00
01
10
10
00
00
00
00
10
10
00
00
00
01
01
11
01
00
00
10
00
01
11
11
00
11
11
11
11
11
10
01
01
11
10
00
01
10
00
11
00
00
00
11
10
00
00
01
00
01
10
10
10
00
10
10
10
00
00
10
00
10
11
00
10
10
11
11
00
00
01
11
10
01
00
00
10
10
00
10
10
01
10
01
11
11
00
11
10
00
00
01
10
11
00
00
10
10
00
00
11
10
00
00
10
00
10
10
00
10
00
10
00
00
10
10
11
00
00
10
01
00
01
11
10
11
11
10
00
00
11
00
11
10
10
00
11
10
00
00
01
10
00
00
10
10
10
10
00
00
00
10
00
01
10
11
11
00
00
11
01
01
10
11
00
11
11
00
10
00
10
10
11
00
00
10
10
00
10
01
00
10
10
00
11
10
00
11
10
00
10
00
10
00
11
01
01
01
01
10
01
10
11
10
01
01
00
00
01
10
10
01
11
11
01
10
01
11
11
01
01
10
10
00
11
00
00
10
10
00
10
10
01
10
10
00
01
00
00
00
10
00
01
00
11
01
01
10
11
10
00
01
10
10
01
10
01
00
11
00
00
10
11
11
00
11
10
01
01
10
00
00
00
11
11
10
10
00
11
10
11
00
01
10
10
10
00
00
11
10
01
11
00
00
00
11
00
01
10
00
11
00
01
11
01
00
00
01
11
01
10
11
01
11
00
10
10
01
10
00
01
10
10
11
01
00
01
00
10
10
10
10
01
10
00
00
10
11
10
00
01
00
10
10
00
01
00
10
00
00
10
10
00
11
01
10
01
10
01
10
01
00
10
10
11
00
00
01
10
01
10
10
00
11
10
11
10
01
00
10
00
11
10
10
00
00
11
10
11
00
11
01
01
10
00
00
10
10
10
01
00
10
01
01
10
01
01
00
00
10
11
11
10
01
10
00
00
11
00
10
01
01
11
00
11
00
10
10
00
00
11
10
11
11
00
00
11
10
00
10
11
01
01
11
10
10
00
11
10
01
00
10
10
01
01
00
00
10
00
00
10
00
00
10
11
10
00
10
00
11
01
10
10
11
10
00
10
11
01
00
10
10
00
00
00
00
11
00
01
11
00
11
10
00
01
11
00
00
10
10
01
00
10
11
00
01
10
01
00
00
10
11
00
01
10
11
11
00
01
10
01
01
00
10
10
10
00
00
01
00
00
11
00
10
01
11
00
11
01
00
00
00
01
10
00
10
00
10
00
01
11
00
10
00
10
00
10
11
10
10
00
10
11
10
01
10
01
01
11
01
10
10
00
00
10
10
01
00
10
10
00
10
00
10
01
00
11
10
11
10
10
10
00
11
00
11
10
10
00
10
11
10
00
00
10
00
10
10
00
10
01
00
10
11
00
11
01
10
00
10
10
00
11
11
00
00
00
10
00
10
00
01
10
10
00
00
10
10
11
00
00
01
01
00
11
00
10
00
01
10
00
00
00
11
11
00
10
01
00
00
10
11
00
00
00
10
10
10
10
01
10
10
01
00
11
00
11
10
01
11
11
00
11
00
01
10
10
11
00
11
10
10
00
10
10
00
10
10
00
01
00
11
10
00
10
00
11
00
10
01
00
00
00
10
10
01
10
10
10
11
10
00
11
00
00
10
10
00
01
10
10
10
10
01
00
01
10
11
10
11
00
10
10
00
00
11
01
00
00
00
00
10
11
00
11
11
10
10
01
01
10
00
00
00
11
10
00
00
10
11
10
10
10
11
10
10
11
10
00
10
01
00
11
00
01
10
01
10
11
00
00
10
10
10
01
00
10
11
00
11
11
00
01
00
00
00
11
10
00
00
10
01
00
10
10
10
01
10
01
01
01
00
11
10
10
10
00
00
00
10
00
11
10
01
10
00
10
01
00
10
11
00
11
01
11
11
11
01
01
10
00
01
10
10
10
10
00
01
10
00
00
10
11
00
10
00
10
10
10
00
00
00
10
00
00
11
00
10
01
00
10
00
00
10
10
00
00
00
10
01
10
00
10
00
00
11
10
11
10
01
10
00
10
00
00
10
00
00
11
10
10
00
00
10
10
11
00
00
10
00
10
10
10
00
00
10
00
11
10
10
11
00
00
10
10
00
10
00
00
10
11
00
11
10
11
00
00
10
01
00
11
00
10
00
10
10
01
11
01
10
00
10
10
01
10
10
01
01
00
11
10
11
10
11
00
00
01
01
00
10
01
00
11
11
01
00
11
10
01
01
00
11
10
11
10
00
01
10
11
01
00
00
00
10
11
00
00
10
00
00
00
10
00
11
00
00
00
00
11
01
01
00
01
10
01
10
10
00
01
01
10
01
10
11
01
01
11
11
00
10
00
10
10
11
00
00
00
10
00
00
10
00
10
01
10
11
01
10
01
10
10
11
10
10
10
00
00
01
00
00
00
10
00
10
10
00
10
10
00
10
10
01
11
01
10
10
11
01
10
11
00
00
10
00
00
11
10
11
00
00
00
10
10
10
00
01
00
11
00
11
10
00
00
00
00
00
10
10
00
11
00
10
11
11
11
10
01
01
11
10
01
00
11
10
00
11
10
11
00
00
11
10
00
01
01
00
01
00
11
11
01
10
00
01
10
11
00
01
10
11
11
00
00
10
00
00
00
00
10
11
10
01
10
10
10
10
00
10
10
00
01
10
00
10
01
00
10
01
10
11
10
10
10
11
00
00
01
10
00
00
10
11
01
10
01
10
00
00
00
10
10
00
10
00
01
00
00
10
00
11
00
11
01
00
00
10
11
10
10
01
00
10
11
00
00
10
10
01
01
10
11
01
11
01
00
11
10
11
00
10
10
00
01
01
00
10
11
10
10
10
00
00
10
10
01
00
10
01
11
00
11
10
01
11
11
10
00
10
10
01
00
00
11
11
00
01
10
11
10
11
01
10
00
00
10
11
10
00
10
00
00
00
10
01
00
10
11
00
10
10
00
10
10
00
00
00
00
11
10
11
11
10
00
00
10
10
10
00
01
00
00
01
11
11
10
11
00
00
10
00
00
10
00
11
00
00
11
11
00
00
01
10
10
00
01
10
11
00
01
10
10
00
10
10
00
01
10
10
11
11
00
11
11
01
10
11
00
01
10
10
00
10
10
11
00
00
10
10
10
01
01
11
00
10
10
00
00
11
00
01
00
11
11
00
00
11
10
10
00
00
01
01
01
00
11
11
10
10
00
10
00
00
00
11
11
10
00
00
01
11
01
10
11
00
01
10
00
11
11
00
01
01
10
00
00
11
10
00
01
00
11
10
01
00
10
11
01
00
11
10
00
00
00
01
11
00
10
00
00
00
00
10
11
10
10
11
00
00
01
10
10
11
00
00
10
00
10
10
01
10
10
00
01
00
10
10
00
00
00
10
11
01
11
11
01
01
00
10
01
00
10
01
00
00
10
10
10
10
00
00
00
11
10
00
10
00
10
01
00
11
01
01
10
10
10
00
00
01
01
00
10
01
10
01
11
00
00
00
10
10
10
00
00
10
10
10
00
01
01
11
11
10
10
00
11
10
10
01
00
00
00
11
10
01
00
00
00
11
11
01
00
10
00
11
00
10
01
00
10
00
00
11
01
00
10
01
00
00
11
11
01
10
10
00
00
00
11
11
11
00
11
00
10
10
00
11
10
10
01
10
00
00
10
00
00
10
01
01
10
10
00
00
00
00
10
10
10
00
00
00
11
01
00
01
10
00
00
10
01
01
10
11
11
10
00
10
00
11
10
00
10
10
01
00
01
11
01
11
00
10
10
00
00
10
11
00
00
00
01
00
10
00
00
10
10
11
00
10
10
10
10
01
10
10
10
11
00
00
10
00
01
01
00
11
01
00
10
10
00
10
10
00
00
00
10
11
01
01
10
10
10
01
00
01
10
01
00
01
00
00
00
10
10
00
11
10
00
10
01
01
10
00
01
00
10
00
00
01
11
11
10
11
00
10
10
00
10
10
00
00
10
00
10
01
00
01
10
10
11
11
00
11
00
01
00
11
11
11
10
01
10
11
00
00
10
11
00
10
10
00
00
11
11
00
01
00
10
00
10
11
00
00
11
10
10
01
10
00
10
11
00
10
11
11
01
00
11
00
00
01
10
00
00
10
10
00
10
11
10
01
01
10
10
01
00
11
11
01
01
10
10
00
10
10
10
10
00
00
10
10
01
00
11
10
00
01
00
10
10
10
10
01
10
10
00
00
00
01
01
10
00
10
10
00
01
01
10
01
11
00
01
00
10
01
01
10
00
01
00
01
00
10
00
10
01
10
00
00
10
00
10
01
01
10
11
01
00
11
10
01
01
00
10
10
00
00
00
10
11
00
10
10
00
10
00
10
10
00
10
10
00
10
00
10
01
00
10
11
10
00
10
10
00
01
10
00
10
01
10
11
00
00
00
10
00
00
10
11
10
01
10
10
10
11
00
00
10
01
10
11
10
01
00
00
00
10
10
00
11
10
10
11
10
00
01
11
00
10
10
00
10
11
11
00
01
10
00
10
00
10
11
10
00
10
10
01
01
00
10
00
10
00
01
10
11
11
01
00
01
00
10
01
10
10
00
11
11
00
00
01
00
00
10
10
00
10
10
11
01
00
11
10
10
00
00
10
11
11
00
10
10
11
10
10
00
00
00
10
11
00
10
11
10
00
10
10
00
10
01
00
10
11
01
11
11
10
00
00
11
00
00
10
10
00
10
10
10
11
01
00
11
11
00
01
10
10
00
01
11
11
11
01
11
10
01
11
00
00
10
10
01
00
11
01
00
10
10
01
00
11
10
00
11
00
00
01
01
11
10
00
11
10
00
00
10
10
01
10
00
00
10
01
10
10
00
01
11
01
10
10
00
00
01
00
00
10
00
10
10
10
00
00
10
01
10
00
00
10
00
01
11
10
11
00
10
10
00
10
00
00
10
00
00
00
10
01
00
10
10
11
00
01
10
01
11
10
10
10
10
00
00
10
00
01
11
01
00
10
10
00
00
10
11
00
00
11
00
00
11
11
10
00
10
11
10
11
10
10
00
00
00
11
01
00
00
10
10
00
01
10
10
10
00
00
10
00
00
00
00
00
01
10
10
10
00
01
00
00
10
10
00
00
00
10
10
10
01
10
00
01
10
10
10
10
10
00
00
11
10
01
10
11
00
10
10
01
00
11
01
11
11
01
00
00
11
00
10
01
00
10
00
11
11
10
10
00
00
10
11
00
00
11
10
01
10
01
10
10
00
11
01
10
00
00
10
01
11
11
10
00
10
00
10
00
01
10
01
01
10
00
00
01
10
11
10
00
00
10
01
00
10
10
11
11
00
10
10
10
00
10
00
00
01
01
10
01
00
10
00
10
10
11
01
10
01
00
00
01
00
11
00
11
10
00
01
10
10
01
00
01
00
10
00
11
10
11
11
00
00
00
10
10
10
01
00
10
10
00
00
10
00
00
10
10
10
10
10
10
10
01
00
00
00
00
10
10
00
10
01
11
01
10
11
00
01
10
10
01
01
10
10
10
00
00
10
00
10
00
11
10
10
01
00
01
10
10
10
01
00
11
00
11
10
10
00
01
00
00
00
00
11
00
10
01
00
10
00
10
10
11
00
01
10
01
00
00
11
11
10
00
01
11
10
11
00
01
01
00
11
10
00
11
01
10
10
10
00
00
00
11
10
01
10
01
00
00
00
00
11
10
00
10
00
00
00
11
11
10
00
00
11
01
01
00
00
11
10
00
10
11
00
00
00
00
10
01
00
11
10
01
00
00
01
10
10
00
01
11
01
11
11
10
00
10
00
10
01
01
00
00
10
10
11
10
10
01
00
00
10
00
00
10
11
01
10
00
01
00
10
00
01
10
00
10
10
01
10
00
10
10
00
10
01
10
00
11
10
11
00
01
11
11
10
11
00
10
11
00
10
01
11
10
11
00
11
10
01
00
10
11
00
01
01
00
11
10
00
01
10
10
01
10
11
10
01
10
00
00
00
10
10
10
10
10
01
00
11
10
11
10
00
00
00
10
11
10
11
10
10
10
10
01
00
01
11
00
00
00
00
11
01
10
11
00
00
11
10
01
00
10
10
00
01
10
01
00
01
00
01
10
10
10
00
00
11
00
00
10
10
11
10
01
10
10
11
00
01
00
11
00
11
10
10
01
00
10
10
10
10
01
10
01
01
10
00
01
00
11
10
00
11
00
00
11
00
00
10
10
01
00
11
11
00
00
00
00
11
01
00
10
11
10
10
00
10
00
11
10
00
00
10
01
10
10
00
11
10
00
00
10
10
10
00
00
10
10
01
00
10
10
00
10
00
00
11
01
10
01
10
00
00
11
01
11
10
00
00
01
11
10
10
00
10
11
10
00
01
01
10
10
01
00
11
10
11
01
01
01
11
01
01
00
11
11
00
00
10
10
11
00
01
00
10
10
11
10
00
00
10
00
00
10
10
00
01
10
00
00
01
00
10
10
01
00
10
01
10
11
00
00
10
10
01
01
11
11
11
01
00
01
00
10
00
10
10
10
00
01
10
01
00
11
11
00
10
01
00
10
10
00
00
10
10
00
00
11
00
10
00
01
11
01
11
11
00
00
00
10
00
00
10
00
10
11
00
11
10
11
10
10
10
00
10
00
11
11
00
00
01
01
00
00
10
00
10
01
00
11
10
11
10
01
10
01
00
01
10
10
00
00
00
01
10
11
00
11
10
11
00
00
11
11
10
10
10
00
11
00
00
10
10
11
00
10
10
10
00
11
01
01
10
00
10
10
01
01
10
10
01
00
01
01
10
11
00
11
11
11
01
10
00
11
00
01
00
00
10
10
10
00
00
10
00
01
10
11
00
00
10
10
00
01
10
11
00
10
10
10
00
11
11
01
10
11
10
01
00
00
01
10
01
00
11
11
00
01
10
01
00
00
11
11
11
11
00
10
10
00
00
00
10
10
10
10
01
11
00
10
00
10
11
10
00
10
00
01
10
10
10
00
00
00
01
10
11
10
01
01
10
01
00
10
10
10
00
01
01
10
11
10
10
11
10
11
01
10
10
10
11
01
10
00
10
10
00
10
01
10
10
10
00
00
00
11
00
00
01
01
01
11
01
00
00
10
11
00
10
10
00
01
00
10
01
10
10
01
10
10
00
01
00
11
01
10
10
10
01
10
11
00
10
10
11
00
01
00
11
10
00
10
11
10
10
10
00
10
01
10
10
00
11
11
01
01
01
00
00
11
11
01
01
10
11
10
00
10
00
01
00
10
10
11
00
01
10
00
10
10
10
00
00
01
11
01
01
11
11
00
10
10
11
01
00
11
10
00
00
10
00
00
10
10
11
01
00
10
11
00
11
00
01
00
01
00
10
11
11
01
01
10
10
00
11
10
01
11
11
10
11
10
00
00
10
00
00
10
10
11
00
10
00
11
00
10
10
01
00
11
00
00
10
00
01
11
01
00
00
10
00
00
11
10
10
00
10
10
01
10
10
00
00
00
10
11
01
11
10
11
00
11
11
01
10
00
00
10
00
00
10
10
10
00
01
10
11
01
00
00
00
10
00
00
10
01
00
01
01
11
10
00
11
11
00
00
10
00
10
00
10
10
00
00
10
11
01
10
00
00
10
00
00
10
11
10
00
11
10
10
00
10
00
00
00
01
00
10
10
10
10
00
01
10
01
10
00
11
00
10
11
11
01
10
00
10
11
10
01
01
10
11
00
10
00
01
00
00
00
10
10
10
00
11
10
10
01
00
11
11
00
11
00
11
00
01
10
01
00
11
01
00
00
11
10
00
10
10
00
11
10
00
00
01
00
01
00
10
00
10
10
10
00
00
00
00
00
10
11
01
01
10
10
10
11
00
10
10
01
10
00
01
01
10
11
01
00
01
00
10
10
01
00
10
00
01
10
00
10
10
11
11
10
00
00
10
10
10
10
10
01
10
00
10
10
10
00
01
11
10
00
10
00
10
10
10
11
00
00
11
00
11
00
10
00
11
10
11
00
10
01
00
10
10
01
01
11
11
00
10
10
00
00
01
11
11
01
10
11
00
00
00
01
11
00
01
10
11
10
00
01
10
11
01
00
01
00
10
10
01
00
11
00
00
00
01
00
10
11
00
00
00
01
00
10
11
00
00
00
10
10
00
00
11
11
10
00
01
11
01
00
00
00
00
11
01
11
10
10
00
10
10
01
01
10
10
10
11
11
10
00
00
11
10
11
11
11
00
00
10
00
10
10
01
11
10
00
00
11
10
11
10
11
00
11
00
10
10
00
00
11
11
01
10
00
10
00
00
10
10
00
01
11
01
11
10
00
00
11
01
01
11
10
01
11
00
01
00
00
11
11
00
00
11
10
00
00
01
01
10
10
11
10
01
00
11
10
11
01
00
10
10
01
01
00
11
10
00
00
10
11
00
10
00
00
10
10
10
00
11
10
11
10
00
00
01
00
10
10
00
01
10
10
00
10
00
11
10
01
01
10
10
00
00
10
11
00
00
11
10
00
00
10
10
00
01
11
00
01
00
10
11
01
10
00
10
10
10
00
11
00
10
00
11
00
00
00
10
10
11
10
01
00
11
01
10
01
10
11
01
00
10
11
01
00
10
10
01
11
10
10
00
00
01
01
10
10
01
11
10
11
00
00
11
10
00
01
00
11
11
00
10
10
01
00
10
11
00
11
11
00
00
10
10
00
01
00
10
10
00
10
00
01
11
01
00
10
10
10
00
01
00
10
10
11
10
10
00
01
00
11
11
01
10
10
01
10
00
01
10
01
00
10
00
10
01
00
11
10
01
10
01
10
01
00
00
00
01
00
01
10
11
11
10
00
01
10
11
00
11
00
00
01
10
10
00
01
11
11
01
10
00
00
00
10
00
00
11
10
10
00
10
10
01
00
11
11
00
00
01
01
10
10
00
10
10
11
10
00
10
11
01
01
10
01
11
10
00
01
10
10
10
00
11
10
00
01
01
10
10
10
00
00
01
11
10
01
00
00
11
10
10
10
00
00
00
10
10
11
00
10
00
00
01
00
11
10
10
00
00
10
10
00
01
10
01
01
10
11
00
11
10
00
10
00
10
10
10
00
00
10
10
00
01
01
11
11
11
11
11
10
00
00
11
10
00
10
00
01
10
00
00
00
10
01
01
10
10
00
00
00
00
10
10
01
10
01
01
01
01
10
10
01
10
11
11
01
01
10
11
00
01
10
11
00
00
01
10
00
00
01
01
11
00
00
10
10
10
10
00
10
10
10
10
10
11
00
11
00
00
00
00
01
10
11
10
10
00
00
10
00
00
11
10
00
01
10
01
00
10
10
10
00
01
01
10
00
00
00
00
10
10
10
01
00
11
00
10
10
11
00
10
00
00
01
00
10
10
00
00
10
00
01
10
10
10
11
00
11
01
00
11
10
00
00
10
10
11
10
01
01
10
01
00
00
11
11
00
00
11
10
10
11
01
11
10
11
10
11
11
00
11
00
00
00
10
01
01
11
11
10
00
01
11
00
01
10
10
10
11
00
01
10
10
00
10
10
10
10
01
01
01
00
10
00
11
10
10
10
00
01
00
00
10
11
11
01
10
11
00
10
00
00
00
10
01
01
01
01
11
10
10
11
01
01
10
10
00
00
00
00
10
11
00
10
11
00
11
10
10
10
00
00
01
10
00
10
01
00
00
00
11
01
00
00
00
00
11
11
01
00
11
00
01
11
00
11
00
10
10
01
10
11
10
00
01
01
01
00
00
10
01
10
01
00
00
00
11
10
01
01
10
11
00
11
10
11
10
00
00
01
10
10
11
00
11
10
00
00
00
00
11
11
00
00
11
00
00
01
01
00
00
01
00
00
11
10
01
00
11
10
10
11
11
00
00
10
11
00
01
01
10
10
00
01
11
00
00
10
11
01
10
11
01
10
11
10
00
01
11
00
00
00
10
10
01
00
10
10
00
00
00
00
00
01
10
00
10
01
11
11
00
00
11
00
00
10
10
10
00
11
00
00
10
00
10
00
11
11
00
00
01
11
00
10
10
00
10
10
00
10
00
10
00
00
10
00
11
00
10
00
00
00
10
00
01
10
11
01
00
11
10
00
00
00
10
11
00
01
10
11
01
00
01
10
00
00
00
10
10
01
00
11
10
11
10
11
00
01
00
10
10
00
01
10
00
00
01
10
00
10
10
10
01
11
00
11
11
01
01
00
00
10
10
11
11
10
00
01
01
00
00
10
11
10
10
11
10
00
00
10
00
11
10
00
10
11
00
00
00
01
00
10
01
01
01
00
11
10
01
00
11
11
00
10
10
00
01
00
10
00
00
10
01
11
01
10
00
11
10
00
00
11
00
11
10
10
00
00
00
00
10
10
00
10
11
00
01
10
00
00
10
10
01
00
00
00
01
10
10
11
11
00
10
10
01
00
10
11
01
00
10
00
11
00
10
00
10
10
00
01
00
01
10
10
00
01
11
01
11
00
10
10
00
01
10
10
01
11
10
01
10
00
10
10
10
10
10
01
10
00
00
00
00
11
00
10
01
00
11
10
10
10
10
10
00
10
10
00
00
01
10
10
11
10
10
10
01
01
00
01
10
00
11
10
01
11
01
00
10
11
10
01
00
10
00
11
00
10
10
01
01
10
01
01
11
01
00
00
11
01
11
10
00
00
10
10
00
10
11
10
11
00
10
10
11
00
00
00
10
10
00
01
10
00
00
01
00
00
01
01
00
00
10
00
10
10
11
10
00
00
00
01
00
10
10
11
01
00
11
10
10
00
10
11
10
00
10
11
10
00
01
01
10
10
10
11
00
10
10
00
00
10
00
00
10
11
00
01
10
10
00
10
11
00
00
01
01
10
11
00
00
10
11
10
10
01
01
10
01
10
10
11
00
01
00
10
10
00
00
01
11
01
11
00
11
00
00
10
01
00
11
00
10
00
01
10
01
10
01
00
10
00
10
10
01
01
11
00
10
00
01
10
10
01
10
00
00
10
00
11
10
01
00
11
00
10
01
00
00
01
11
10
10
00
10
00
10
10
00
00
10
00
00
10
10
00
10
01
10
01
10
10
00
10
11
01
01
10
11
00
00
01
10
10
00
10
00
11
00
00
10
01
10
11
10
01
00
10
11
10
10
00
00
11
10
01
01
10
01
01
00
00
01
00
11
11
10
00
10
10
01
10
11
00
00
01
11
00
00
00
10
00
00
10
01
11
00
11
00
01
01
10
11
01
11
10
10
00
10
01
01
00
11
11
10
10
00
11
00
11
10
00
00
00
00
00
10
10
00
11
00
11
00
01
00
10
10
10
10
00
00
00
00
00
00
00
00
10
10
10
10
10
00
10
11
01
10
00
01
00
11
10
01
00
10
10
00
00
10
00
10
01
01
00
00
01
00
10
10
01
01
01
10
01
01
01
11
10
01
01
10
10
10
00
00
10
00
11
00
01
11
10
11
11
10
01
00
11
10
10
01
00
00
10
10
00
10
10
11
00
00
11
11
10
10
01
11
00
00
10
10
00
10
00
00
00
01
10
10
10
11
01
10
00
00
10
01
10
10
00
01
01
00
00
01
01
00
10
00
11
10
00
10
00
11
11
01
01
10
11
10
10
00
01
11
11
11
01
10
00
01
01
01
10
10
01
10
00
11
10
00
00
00
00
10
10
00
01
11
00
11
11
11
11
10
01
00
10
10
10
00
00
10
10
10
00
00
10
01
00
10
10
10
01
10
10
10
10
10
00
01
10
00
11
00
00
10
10
11
00
00
00
10
10
01
10
11
01
01
00
00
10
10
00
11
10
01
00
01
00
00
10
01
10
10
00
10
01
01
10
10
00
00
10
10
00
10
10
10
00
01
11
10
10
00
00
01
10
00
11
00
11
00
01
10
00
11
10
10
01
00
10
10
01
00
01
01
00
10
11
01
10
00
00
10
10
01
01
00
00
01
01
11
11
00
10
11
00
10
11
00
00
00
01
10
10
10
10
01
10
00
00
10
10
00
00
00
00
10
10
10
11
10
01
00
00
11
11
00
11
01
00
00
10
00
01
10
10
10
00
11
01
01
11
01
10
10
00
00
01
10
00
10
10
11
00
10
10
01
01
00
11
10
10
10
10
01
01
10
10
01
01
01
11
01
00
00
00
00
10
11
01
00
00
11
00
01
10
10
11
00
00
10
10
00
01
01
11
11
11
00
10
00
00
11
10
10
11
11
00
10
10
11
01
01
01
11
01
00
01
10
10
00
01
11
11
10
00
10
11
10
01
00
10
10
11
11
00
00
01
00
00
10
10
10
10
11
01
10
11
00
00
11
01
00
00
11
11
10
00
00
10
01
00
10
01
10
01
10
01
00
10
00
00
00
01
10
10
10
00
01
11
10
10
01
00
01
00
00
10
11
00
11
00
01
00
11
01
11
00
11
10
10
10
00
00
10
11
01
10
11
11
00
00
10
10
10
00
00
00
10
10
00
11
00
01
00
11
00
00
10
01
10
01
10
10
01
00
10
10
10
00
10
10
00
11
10
01
00
10
10
01
00
11
00
00
11
01
00
10
11
00
00
11
00
01
10
11
00
00
00
11
00
01
11
00
10
10
00
00
10
11
11
11
01
10
01
11
01
00
10
11
00
00
00
00
10
00
00
10
00
10
00
01
11
11
01
00
10
01
00
10
00
01
10
00
10
10
01
00
10
01
01
10
01
11
01
00
00
01
10
00
00
01
10
11
10
10
00
01
10
11
10
01
11
00
10
00
00
10
01
00
11
00
00
11
11
00
11
10
00
10
10
00
00
11
11
00
01
10
11
00
00
11
11
01
00
10
11
01
11
00
00
10
00
00
01
10
11
00
01
00
01
11
10
10
10
10
10
10
00
01
10
01
10
10
10
11
10
00
00
11
00
11
11
11
10
10
00
10
00
10
11
01
01
10
00
11
01
00
11
10
01
01
10
10
01
10
10
00
00
10
10
00
00
10
11
00
10
00
11
10
11
00
00
00
00
10
00
10
11
01
00
00
01
00
11
00
00
01
01
10
10
01
00
11
10
01
00
10
00
00
11
11
10
01
01
11
01
11
10
10
10
00
10
10
00
00
00
10
00
00
00
11
01
00
10
10
10
00
01
11
11
11
00
00
10
11
01
00
00
10
11
01
00
10
00
10
11
00
01
10
10
11
10
10
01
10
00
01
11
00
10
10
11
00
10
10
01
00
10
00
01
00
10
10
00
10
11
10
11
00
01
01
10
11
00
00
00
10
00
10
10
10
10
10
00
11
01
10
10
00
00
01
10
10
00
00
10
11
00
00
10
00
01
11
11
00
01
00
10
10
01
01
10
11
01
00
00
11
10
00
11
11
11
10
00
00
00
00
10
10
00
10
00
10
10
11
01
01
10
10
00
10
10
11
10
00
11
00
00
01
11
11
01
10
10
00
01
10
10
10
10
00
10
10
00
10
10
00
11
11
00
11
11
11
00
11
10
10
00
10
10
00
10
00
10
01
10
10
01
00
00
11
00
00
00
01
11
00
01
10
10
00
00
00
11
01
10
01
11
10
00
01
11
01
11
11
00
01
00
11
10
00
11
10
00
01
11
10
01
01
00
11
01
00
00
11
10
10
01
01
10
00
00
11
10
10
10
10
01
10
10
00
10
10
00
00
10
01
00
11
10
00
10
01
10
10
01
00
10
01
10
10
10
00
01
00
01
00
00
00
01
11
10
10
00
11
11
11
10
00
11
10
00
10
11
00
11
00
01
11
00
01
00
00
10
10
01
10
10
01
00
10
00
00
10
10
00
00
00
10
10
01
11
11
00
10
00
10
00
10
10
01
11
11
10
01
00
01
01
00
10
01
01
11
00
11
11
10
00
10
11
01
00
01
10
10
01
01
00
00
11
10
00
10
00
11
10
00
11
10
01
00
10
10
01
11
01
00
11
10
11
00
00
00
11
01
00
00
00
10
00
01
11
00
00
00
00
10
10
00
11
11
11
01
10
11
00
01
00
10
11
01
00
11
11
10
00
00
10
10
10
10
01
00
10
00
10
11
00
01
10
10
00
00
10
11
10
00
00
10
11
01
10
11
10
01
01
00
01
00
00
10
00
00
00
11
10
10
10
10
10
10
00
01
10
11
10
10
11
00
01
10
10
01
00
00
11
11
10
01
00
10
00
01
10
10
11
00
00
00
01
00
00
10
10
01
10
10
10
00
00
01
11
10
10
00
10
00
01
01
10
10
00
11
10
00
10
01
01
11
10
10
10
10
10
10
00
00
00
11
00
11
10
00
00
01
00
10
10
11
00
10
10
00
01
10
01
01
01
10
11
11
10
10
01
10
10
00
00
10
10
00
10
01
00
11
00
00
00
10
11
00
00
11
10
01
00
10
00
01
00
10
11
00
10
00
11
00
00
10
01
10
01
10
10
10
00
11
10
11
00
01
10
01
11
11
01
00
00
00
00
10
10
00
01
00
10
10
00
10
11
10
10
11
00
10
00
10
11
10
00
10
10
00
10
10
00
01
10
00
00
00
00
00
01
10
01
00
11
10
00
10
11
11
00
00
11
10
01
10
01
01
10
00
10
10
00
01
10
10
00
11
00
01
01
00
10
11
00
00
11
10
00
11
11
00
00
10
01
00
11
10
00
10
11
01
10
10
10
10
01
10
10
00
10
10
01
01
01
00
10
01
11
00
10
01
00
00
10
11
01
10
01
01
00
00
10
10
00
10
10
00
11
00
01
01
11
11
00
00
10
00
01
11
01
00
11
10
11
11
10
00
10
10
01
01
10
00
10
10
10
00
00
11
00
10
01
00
11
00
01
11
10
00
10
11
00
00
01
11
10
01
01
00
11
01
10
10
00
11
11
01
10
00
00
11
01
10
00
00
01
00
10
00
00
10
01
11
11
11
01
00
11
00
00
10
10
00
01
10
10
00
00
10
10
00
10
00
11
10
10
11
01
00
11
00
00
00
11
10
00
10
10
01
10
10
10
00
00
00
01
11
00
00
00
00
11
10
11
10
11
10
01
01
10
10
00
10
10
11
00
10
10
10
10
10
01
01
00
10
10
00
10
10
00
01
10
01
11
10
10
00
00
10
10
00
10
10
10
11
00
00
00
00
00
10
10
01
10
10
00
10
10
10
00
11
00
01
10
01
00
11
00
00
10
10
00
01
00
10
10
01
10
01
00
01
00
10
00
10
00
11
01
01
00
00
10
11
10
01
10
10
00
00
01
10
01
00
01
00
10
11
11
11
00
10
10
01
00
00
11
01
01
10
10
11
00
00
11
00
00
10
10
11
00
01
10
01
10
10
00
01
11
11
00
01
00
10
01
11
11
11
10
10
11
00
11
00
01
11
00
00
10
11
10
10
10
00
01
10
01
00
00
11
00
10
00
01
00
00
10
11
10
00
10
01
00
01
10
01
01
11
11
00
11
10
10
00
10
11
00
10
00
10
01
10
00
01
10
10
01
10
11
10
00
10
11
00
00
00
00
00
10
00
10
10
00
00
00
10
10
00
01
10
10
00
10
11
01
01
01
00
10
00
00
10
10
00
00
00
10
01
11
10
11
00
11
00
01
10
01
10
10
10
01
10
00
11
10
00
10
01
01
01
01
10
11
11
10
00
11
01
01
11
00
10
00
00
00
10
00
10
01
00
10
00
00
10
00
00
10
11
00
00
00
00
10
10
10
11
10
01
10
11
00
00
00
01
00
11
10
00
00
00
00
00
11
10
10
01
10
00
01
10
00
00
10
00
11
00
00
10
00
10
10
00
11
10
00
10
00
01
11
11
00
00
00
10
00
00
00
10
01
11
11
00
11
10
10
10
10
01
11
00
01
00
00
11
11
01
01
01
11
11
00
01
10
11
00
00
11
11
01
01
01
10
01
01
01
10
11
00
00
10
10
00
01
01
10
01
00
11
10
00
11
01
11
00
00
10
01
00
10
10
01
01
10
00
01
10
00
10
10
01
10
11
00
00
10
00
10
10
10
11
00
01
10
10
11
11
01
00
10
11
10
00
00
00
11
10
11
00
11
00
11
11
00
01
00
00
10
11
01
00
01
10
10
11
01
01
11
01
00
01
00
11
01
00
10
11
10
01
00
10
01
01
10
00
01
10
10
01
10
10
00
01
00
11
10
00
10
10
11
10
10
01
00
00
00
11
00
00
10
11
10
10
01
00
01
10
10
10
01
01
01
00
10
01
00
00
11
10
01
10
10
01
00
10
10
10
00
10
01
00
10
01
00
01
11
11
00
10
10
10
00
00
10
10
10
01
00
10
00
10
10
00
00
11
00
00
01
00
10
10
11
00
10
10
10
00
00
10
10
00
00
10
10
10
00
11
00
10
10
01
00
00
00
10
00
00
00
00
00
10
00
11
10
10
00
00
00
10
10
00
10
01
01
00
00
00
10
10
11
10
01
00
00
00
10
01
10
01
00
00
10
00
01
10
11
00
01
10
01
10
10
11
00
00
11
11
11
00
01
01
10
00
00
10
10
00
00
10
00
00
10
00
10
11
00
01
10
11
11
00
10
10
00
01
10
10
00
01
10
11
10
01
00
10
01
00
00
10
00
10
00
00
00
10
10
10
10
10
01
10
00
00
01
11
10
00
10
11
10
00
10
01
10
01
01
00
00
01
01
10
01
01
10
00
00
11
10
00
01
10
10
00
01
10
11
00
00
10
01
10
00
10
10
10
10
11
01
01
00
01
01
10
00
00
11
11
01
00
11
00
01
10
01
00
10
00
00
00
10
10
00
01
00
11
01
11
10
11
00
10
00
01
11
11
00
00
00
11
10
00
11
10
01
00
10
11
10
01
01
00
00
00
11
10
10
01
10
01
00
01
10
01
00
10
11
01
00
11
00
01
11
01
10
00
10
10
11
00
01
01
01
00
01
11
10
10
00
01
01
00
10
00
01
11
01
11
10
10
10
00
10
01
00
10
10
10
10
00
00
01
00
01
00
00
10
10
00
10
00
00
11
11
10
11
10
00
10
00
11
00
00
11
00
10
00
00
10
11
01
10
11
00
10
10
01
00
00
11
00
10
00
11
10
11
01
00
01
11
11
11
10
00
10
10
01
00
10
11
10
00
00
00
00
10
00
11
00
10
10
01
00
10
00
00
00
00
10
10
01
01
00
10
11
11
00
11
00
00
10
10
10
00
00
11
00
10
10
00
00
10
00
11
11
00
00
10
11
01
11
01
11
10
01
00
10
11
00
00
01
10
01
00
10
10
10
00
10
00
00
10
10
11
01
10
10
10
00
11
10
00
10
01
00
00
00
11
00
10
00
10
00
10
00
00
00
10
00
10
10
11
01
00
00
11
01
00
10
10
00
01
10
00
00
10
11
00
10
11
00
01
01
10
10
10
00
00
01
10
01
00
00
01
11
10
10
01
00
00
11
11
11
11
00
10
01
00
10
11
00
00
10
00
11
10
01
01
01
10
00
01
11
10
01
10
10
10
10
11
00
00
01
01
10
00
10
10
00
11
00
00
11
10
01
10
10
00
11
00
10
10
00
00
11
01
11
00
00
10
10
11
10
01
01
10
00
00
10
10
00
01
00
01
10
10
01
00
00
01
11
10
00
11
10
10
10
00
10
10
00
10
10
01
10
00
00
10
10
10
00
01
10
00
10
11
10
10
01
11
00
01
10
00
01
10
00
00
01
10
00
00
11
00
00
11
10
00
01
10
00
11
10
00
00
01
00
10
00
10
00
11
11
01
10
11
00
00
00
01
10
10
00
00
01
10
11
00
10
00
00
00
11
01
00
11
11
01
10
10
00
00
10
10
11
00
00
11
00
10
01
10
10
10
01
11
10
11
01
00
10
10
00
00
00
10
00
01
10
10
00
00
00
10
01
00
01
10
00
10
00
00
10
11
10
01
10
10
01
00
10
00
11
00
10
10
01
00
01
00
11
10
11
00
10
00
00
00
00
10
10
00
00
10
10
10
10
01
01
10
11
10
10
01
10
01
01
11
10
10
00
01
00
10
10
10
11
10
01
01
10
00
10
00
00
00
10
00
00
00
00
11
00
10
00
01
10
10
10
11
10
00
11
00
10
01
00
01
10
01
01
01
10
10
01
01
11
10
00
00
10
01
11
10
01
00
10
11
00
00
00
10
10
01
00
10
10
00
00
11
01
01
10
10
00
00
01
10
10
00
11
11
10
00
00
10
10
00
11
10
10
00
00
10
00
00
10
10
11
01
10
01
10
00
00
01
00
10
10
10
10
10
11
01
01
10
00
00
00
10
11
00
01
00
11
10
00
10
10
10
00
00
11
00
00
00
10
00
00
10
10
00
00
10
00
10
00
10
01
00
00
00
10
11
01
11
10
00
00
10
10
01
00
10
11
10
00
00
10
10
00
10
11
00
00
00
01
11
10
00
01
11
01
11
10
10
01
11
00
00
10
10
10
01
11
11
00
00
01
11
10
00
10
10
00
00
10
10
00
00
10
00
00
10
10
00
10
11
00
00
01
00
11
10
00
00
00
11
10
01
01
11
00
00
10
00
00
11
10
00
00
10
10
11
01
00
11
10
00
00
00
10
11
00
01
00
10
11
11
00
10
10
00
00
00
00
10
10
10
01
00
00
00
10
11
10
10
10
00
01
10
10
00
10
10
00
10
01
01
10
01
10
00
01
11
11
11
10
11
10
10
00
01
10
00
01
01
10
00
10
11
01
00
01
10
10
01
00
00
11
10
01
00
11
10
00
10
11
01
01
00
11
11
00
00
00
10
11
10
11
00
00
10
11
00
10
10
00
11
11
10
00
10
11
00
11
00
00
10
00
10
11
00
00
01
11
00
00
10
10
10
01
10
01
00
11
10
10
10
00
00
11
00
01
10
11
01
00
11
11
10
01
10
10
10
01
01
00
11
01
10
00
11
10
11
10
00
00
01
10
11
00
00
00
11
10
10
10
10
01
00
10
00
01
01
10
10
01
11
01
11
11
10
00
10
11
00
00
11
10
11
10
00
00
10
01
00
10
10
00
00
00
10
10
11
00
01
10
10
00
00
01
01
00
01
00
11
11
10
11
11
10
10
00
00
00
01
10
00
00
10
01
11
10
00
00
11
00
00
10
10
00
10
00
00
00
11
10
10
00
01
00
00
10
11
11
01
11
01
00
10
10
10
10
00
01
10
01
10
10
10
00
00
11
11
00
00
00
10
10
00
11
10
01
00
10
10
00
01
11
11
00
00
11
00
00
10
11
00
01
10
10
10
10
01
00
11
10
00
00
00
11
01
11
10
10
00
01
10
10
01
01
00
01
10
10
10
00
11
00
10
11
00
10
00
10
10
11
11
00
01
00
11
11
01
01
00
00
10
10
00
01
10
10
00
10
00
11
11
10
00
01
01
00
10
10
10
11
10
00
10
10
10
01
11
10
10
00
01
01
00
10
10
10
10
00
10
00
01
01
00
01
10
10
01
01
00
11
10
01
00
11
11
11
11
10
10
00
10
11
00
00
01
11
10
10
00
11
11
11
01
00
00
10
01
10
00
10
11
00
10
01
00
00
00
00
10
10
01
00
00
00
00
00
10
10
00
10
10
10
00
10
01
01
01
10
11
00
01
10
10
00
01
00
01
00
10
10
00
00
00
11
00
10
10
01
11
10
10
10
11
00
01
00
00
10
10
01
11
01
01
10
01
10
11
00
00
10
10
01
10
00
00
00
00
00
00
10
00
10
11
10
00
01
00
10
10
10
10
10
00
10
11
00
01
00
11
00
01
00
11
00
00
10
11
00
01
00
11
10
01
01
00
11
10
00
10
11
01
10
11
00
11
10
10
00
10
01
01
00
10
10
00
10
11
10
00
00
01
10
10
00
01
00
11
00
01
11
00
11
10
00
00
11
11
00
11
11
01
11
00
00
11
01
00
01
10
11
10
10
00
00
10
10
00
00
10
00
10
00
10
10
01
10
00
00
10
10
11
00
11
00
11
00
10
01
00
01
01
01
10
00
01
11
10
00
10
10
11
00
11
01
11
00
11
00
00
11
10
00
00
11
10
11
10
00
00
10
11
00
00
11
11
10
11
00
00
10
10
10
00
00
10
00
10
11
10
00
10
00
10
01
10
10
00
10
01
10
10
00
11
00
00
10
01
00
10
01
00
10
10
00
00
00
00
10
00
11
11
00
11
00
00
11
11
10
10
10
00
11
10
10
00
01
11
01
00
00
00
10
10
11
10
11
10
00
00
10
10
00
00
10
01
00
11
00
10
00
00
10
00
11
11
01
00
10
10
00
01
10
10
00
10
10
01
11
10
00
01
10
11
10
01
01
10
00
11
11
00
10
01
00
11
10
00
10
11
00
11
00
00
01
11
00
01
00
11
10
11
01
10
01
01
00
10
00
10
11
10
00
00
10
10
00
10
11
10
11
11
01
00
00
10
10
10
01
00
01
00
00
10
00
00
01
10
10
10
11
00
11
11
00
11
01
11
01
10
10
01
00
10
11
00
00
00
00
11
10
11
00
01
00
11
10
11
10
01
10
11
11
00
00
10
10
00
10
10
11
00
00
10
00
10
01
01
00
01
00
01
10
11
10
11
11
00
00
10
10
00
11
10
01
01
00
00
10
01
00
00
10
10
11
00
10
10
00
01
00
00
01
10
11
01
01
10
01
00
10
01
00
11
10
00
00
00
10
00
10
10
00
11
00
00
01
10
01
10
10
00
11
11
01
00
10
00
01
10
00
00
10
10
00
10
10
00
10
11
10
10
11
00
00
10
00
01
00
01
10
11
10
00
11
11
10
00
00
10
10
10
00
01
00
01
01
10
00
10
01
10
01
01
10
10
11
11
10
01
00
01
10
10
01
10
11
00
00
10
00
10
00
01
00
00
01
11
10
00
10
11
00
10
01
00
11
11
10
10
10
10
00
10
10
00
11
00
10
10
00
00
10
00
10
00
00
10
00
01
10
11
00
01
10
00
00
10
00
00
10
11
00
00
00
00
10
00
10
11
00
00
00
10
01
00
00
10
10
00
01
11
01
00
10
00
10
11
10
00
00
11
10
00
10
11
01
01
01
00
10
10
10
10
01
00
10
11
11
00
01
01
11
11
11
00
01
11
00
10
10
01
01
10
10
01
11
00
10
01
10
00
01
00
11
00
00
00
11
11
01
11
00
00
01
10
10
01
10
00
01
10
01
00
11
10
00
10
01
01
10
01
00
01
00
10
11
01
00
10
00
00
10
10
00
10
11
01
00
10
01
10
00
00
10
01
10
01
00
10
11
00
10
10
00
00
00
00
10
10
00
11
11
01
01
10
10
10
00
11
00
10
00
00
10
11
11
10
11
11
10
00
00
11
11
11
01
00
00
10
00
11
11
01
10
00
00
00
10
11
10
10
00
01
10
10
01
11
00
11
10
00
10
10
01
10
10
01
10
10
10
00
00
00
10
10
00
01
11
11
11
11
10
01
01
01
10
10
00
00
10
10
01
01
00
11
00
10
11
01
01
11
11
01
10
11
00
10
01
00
11
10
00
00
01
00
10
10
10
10
00
01
00
00
01
00
00
00
11
11
10
10
00
00
11
01
11
11
10
00
00
11
10
00
00
11
01
00
00
11
10
00
10
10
00
10
11
00
10
00
00
10
11
10
01
10
01
10
10
00
10
00
00
00
10
11
10
10
10
11
00
11
00
10
00
00
10
00
10
11
10
01
00
11
00
11
00
11
11
01
10
10
10
01
11
10
01
00
10
11
01
00
10
11
00
00
01
10
10
10
10
10
10
11
00
01
10
11
10
00
00
01
00
11
01
11
00
00
00
10
01
00
00
11
10
10
00
10
00
01
00
00
11
10
01
11
11
00
00
00
01
10
11
01
01
11
10
00
11
00
00
10
10
00
10
10
01
10
00
11
10
00
00
10
11
00
01
10
00
00
01
01
00
01
10
01
10
00
10
00
10
10
00
11
11
10
00
10
10
10
10
00
10
01
10
10
10
00
10
00
10
10
10
00
00
11
10
11
10
11
00
01
00
01
11
10
00
00
00
10
11
10
01
00
11
11
11
00
10
11
00
00
11
00
10
00
01
10
00
00
10
00
01
00
00
00
10
00
01
00
11
01
00
00
11
00
00
01
10
10
10
10
00
01
11
00
11
11
10
01
01
01
10
10
00
10
01
00
10
01
10
00
11
10
00
10
10
00
00
00
10
10
01
11
00
10
00
10
00
00
10
10
01
10
00
00
10
10
00
01
00
10
10
10
00
10
10
00
10
11
11
00
00
00
01
10
01
10
01
00
10
10
10
11
00
00
11
00
00
01
10
00
01
10
01
11
10
00
10
00
00
11
10
10
00
10
11
00
10
01
01
00
01
10
01
11
10
11
10
10
00
00
00
10
11
01
10
00
00
00
10
10
00
01
10
01
10
10
11
10
10
00
00
00
00
00
10
10
00
10
10
11
10
01
01
10
01
01
00
10
01
00
01
10
00
10
11
01
11
00
00
10
00
01
01
10
11
00
00
10
00
00
10
01
00
00
11
10
11
00
10
10
10
01
00
10
10
01
00
10
10
10
10
00
00
10
10
11
01
01
10
00
00
01
00
01
11
01
01
10
00
00
00
10
00
01
10
00
00
11
01
01
01
00
11
10
10
00
00
11
00
00
10
11
00
10
00
01
11
10
01
00
10
10
10
10
11
11
01
11
00
00
10
10
10
00
00
10
00
10
00
11
01
10
00
11
01
00
11
00
10
11
00
01
00
10
10
00
10
10
01
00
11
00
00
00
11
00
11
01
00
11
10
10
10
00
10
10
00
11
11
01
10
00
00
11
10
01
00
00
00
10
10
10
10
00
00
00
01
01
10
01
10
10
00
01
11
01
10
11
10
11
00
01
10
10
01
00
01
10
00
00
00
10
10
00
00
00
00
11
01
11
00
11
11
11
10
01
00
11
10
11
01
10
11
10
10
01
11
11
00
01
01
11
11
10
00
10
00
10
10
00
00
10
11
00
11
11
00
10
00
10
11
10
00
00
11
00
01
11
10
01
01
00
10
00
00
10
00
11
00
10
00
00
10
00
00
01
10
00
01
01
11
00
00
01
10
00
10
11
01
01
10
10
10
00
00
10
01
01
00
10
01
10
10
00
10
10
00
01
10
10
00
10
00
00
00
11
10
10
10
10
00
00
11
00
10
11
01
01
10
01
11
10
10
00
11
00
00
10
10
00
00
10
10
10
00
00
10
10
00
01
10
00
11
00
10
01
00
00
10
01
00
10
01
10
11
11
00
00
00
00
11
10
01
00
00
00
11
10
01
10
00
11
11
11
11
11
00
10
00
01
01
10
10
11
00
00
01
10
01
10
10
00
10
01
10
11
10
01
00
10
00
00
11
10
01
10
00
01
10
00
11
10
00
01
00
10
11
00
00
00
11
00
00
10
00
11
10
10
10
10
00
10
10
01
00
11
11
01
10
10
10
00
00
11
10
00
01
10
10
00
10
10
00
11
00
11
10
10
01
10
00
11
01
01
00
00
10
10
01
00
10
10
10
00
00
10
00
00
01
11
10
11
01
01
11
10
00
01
10
00
01
11
11
01
01
10
01
00
10
10
00
00
10
00
00
00
10
01
10
01
10
11
00
00
10
01
00
01
00
10
11
10
11
01
10
11
10
01
00
10
11
00
00
10
00
00
10
00
10
01
00
10
00
00
10
10
00
10
10
00
00
10
10
00
00
00
10
10
00
10
11
00
11
10
11
01
00
01
00
10
01
01
10
10
01
01
11
10
00
10
00
11
11
10
11
00
01
10
00
00
01
01
11
11
00
00
10
01
00
01
11
10
00
00
10
11
11
00
00
01
01
10
00
00
10
10
10
01
10
00
00
10
00
10
00
10
10
00
10
00
00
00
00
00
10
10
00
11
00
00
00
01
10
00
00
00
10
10
00
10
01
00
11
00
00
10
10
01
01
10
11
11
10
10
01
10
00
10
10
01
01
10
10
00
00
10
01
10
11
01
00
11
01
00
10
10
00
10
10
01
10
10
10
00
00
11
00
00
01
10
01
01
10
00
00
10
00
10
10
01
00
10
11
01
10
11
10
10
01
00
10
00
01
10
01
00
00
01
10
10
00
10
10
10
10
11
00
00
00
10
10
00
00
10
11
00
10
11
11
10
00
00
00
00
11
01
11
10
00
00
11
11
10
01
01
00
01
10
10
10
00
00
01
10
10
11
00
10
00
00
01
10
01
00
10
01
01
01
10
10
11
00
00
00
01
10
11
00
10
00
10
11
01
10
10
10
10
10
10
01
01
11
01
11
01
11
01
10
11
10
00
00
10
10
00
01
10
10
01
00
10
11
01
10
00
01
10
00
01
10
00
00
00
10
01
00
10
10
11
10
01
10
10
00
00
11
11
00
00
11
11
01
00
00
11
01
00
00
00
10
10
01
10
00
00
10
11
00
10
10
00
10
10
00
10
10
01
10
10
00
00
00
11
00
10
11
10
10
00
00
10
11
11
00
10
00
01
10
10
00
10
00
00
00
11
00
11
00
10
00
01
00
11
10
01
01
10
00
01
10
11
00
00
01
10
11
00
00
01
00
11
11
00
11
00
01
01
00
10
00
00
10
10
01
01
11
11
10
10
01
10
01
10
10
01
10
00
00
10
11
10
11
10
00
00
00
10
10
01
00
00
01
10
01
00
10
00
10
11
00
11
10
10
10
00
10
10
01
10
11
00
00
00
00
10
00
00
10
10
11
01
01
10
01
00
10
11
00
00
10
11
01
01
01
00
00
10
10
00
10
11
00
01
10
00
01
10
10
00
00
10
00
10
10
10
10
01
10
11
10
10
00
10
11
00
11
11
10
01
00
10
00
01
00
10
11
01
00
00
10
10
11
00
00
10
10
10
00
00
00
10
10
00
00
00
00
01
01
00
10
10
00
10
11
01
10
00
00
10
00
10
00
00
10
10
00
01
00
00
11
00
11
00
10
10
10
00
10
10
00
00
11
01
00
01
11
10
10
00
00
11
10
00
00
00
10
11
10
00
01
01
10
11
01
11
00
00
00
01
00
11
11
01
10
01
00
10
00
10
10
01
00
00
01
10
10
00
11
10
00
00
01
10
11
01
00
00
00
01
00
10
01
10
10
10
01
00
11
10
01
00
01
01
10
10
00
00
11
10
00
01
10
00
01
10
00
01
10
10
11
11
00
10
11
00
00
00
10
10
10
01
01
10
10
00
11
01
11
10
00
10
00
00
10
00
01
10
00
11
10
00
10
00
00
01
10
10
11
01
11
11
00
00
00
00
00
11
10
10
10
10
00
10
00
01
00
10
11
10
11
01
10
10
10
11
10
11
00
00
11
10
10
10
10
01
10
10
10
00
00
11
10
10
10
10
00
11
00
01
01
00
10
10
01
10
01
01
00
00
10
00
11
00
01
10
01
01
00
00
10
00
00
00
10
10
11
10
01
01
00
00
00
11
10
00
00
10
10
01
00
00
10
10
00
00
01
11
10
00
10
10
01
11
11
01
10
10
00
01
00
10
00
10
00
11
01
11
01
10
01
00
11
00
01
11
11
11
10
00
00
10
01
01
10
10
00
10
00
11
10
10
00
10
01
01
10
10
00
00
00
10
10
10
01
00
01
01
01
10
10
10
10
11
00
10
11
00
10
10
00
10
10
00
00
10
11
10
01
10
10
11
10
00
00
01
10
11
10
01
00
00
10
11
01
10
10
01
10
01
01
01
00
11
10
11
00
00
11
11
10
00
10
10
10
00
00
01
00
10
10
00
11
10
01
01
10
11
11
10
10
10
01
00
01
10
11
01
00
11
11
00
00
11
10
01
11
10
01
00
10
01
10
11
10
10
10
00
01
01
10
10
01
00
01
01
00
11
00
00
10
10
00
00
00
11
10
10
10
10
11
11
00
01
10
10
01
11
10
00
11
00
00
01
10
01
10
10
00
00
10
00
10
10
00
11
00
10
11
00
01
00
11
00
00
10
01
11
11
10
01
10
11
11
00
00
10
00
11
01
10
10
00
00
00
00
00
10
10
10
00
00
10
10
10
01
01
11
11
11
00
00
10
00
10
11
10
00
00
01
10
10
10
00
00
01
00
00
01
11
10
11
00
00
11
00
00
01
10
10
10
10
10
10
11
01
10
10
01
01
00
10
11
00
01
00
11
10
01
11
11
01
10
00
01
00
10
10
00
00
00
00
10
00
10
11
11
01
10
00
00
10
00
00
10
10
00
10
00
01
10
10
00
01
00
01
10
10
00
01
11
00
10
10
01
00
00
10
00
10
10
10
10
11
01
10
11
00
00
01
00
01
11
10
00
00
01
01
00
01
11
10
10
11
11
00
10
10
01
00
10
01
00
11
00
10
10
10
01
11
10
01
00
10
10
10
01
00
11
01
01
11
01
11
11
01
10
10
00
00
10
00
00
10
11
11
11
11
01
01
00
00
11
00
00
10
11
00
10
10
10
11
00
10
11
01
10
00
10
01
11
11
00
00
10
00
00
11
10
01
10
10
01
01
00
10
11
00
11
11
01
00
10
00
10
10
01
10
10
10
00
00
11
00
00
10
10
01
10
10
11
00
10
10
10
10
00
00
00
01
11
11
10
01
10
10
00
11
11
00
00
00
00
10
00
01
00
11
10
10
00
01
00
00
11
00
10
10
11
10
01
10
11
11
11
00
10
10
00
00
10
00
10
10
10
01
10
00
00
10
00
01
01
10
01
01
11
10
00
01
10
10
10
11
01
00
10
00
11
11
10
10
00
00
11
01
00
00
11
10
10
00
00
10
10
01
10
10
10
00
00
00
01
00
10
00
10
00
10
01
11
01
10
10
11
11
11
11
01
00
00
10
11
11
01
00
10
00
00
10
11
11
01
00
10
01
11
01
01
00
00
00
01
11
10
01
00
11
10
00
10
01
00
10
11
00
01
01
00
00
10
00
00
01
11
11
00
00
10
11
01
10
00
00
10
10
00
10
10
00
00
01
11
11
00
11
01
01
10
00
10
10
01
01
10
01
00
00
10
11
11
01
00
10
10
01
00
10
01
10
11
01
01
11
00
01
10
10
11
10
01
00
10
00
11
10
11
00
00
00
11
10
11
10
00
10
10
00
10
11
00
10
10
10
00
11
00
00
01
10
00
11
11
00
00
01
01
11
10
01
00
10
10
00
11
11
10
10
01
00
10
00
00
10
01
10
10
01
01
10
00
00
00
10
00
11
00
11
01
00
10
00
10
00
00
10
10
11
00
01
10
00
10
00
00
00
00
11
00
10
10
10
10
00
00
00
10
10
10
00
00
00
11
10
00
00
10
11
10
00
01
10
10
10
10
11
11
01
01
00
10
00
00
00
11
01
10
01
00
01
10
11
01
00
01
10
01
01
10
10
11
00
10
10
00
10
00
00
11
00
10
11
00
10
01
10
00
00
00
10
11
00
00
10
10
00
10
10
11
01
01
11
00
10
10
10
10
00
00
11
01
10
10
00
11
10
00
00
00
10
11
01
10
11
10
00
11
10
01
00
10
10
10
10
01
01
11
10
11
10
10
10
00
00
11
11
00
00
00
00
11
01
00
00
00
00
00
10
10
11
01
00
11
00
01
10
10
10
00
10
10
10
00
11
00
10
10
01
00
00
10
11
10
10
01
01
00
11
01
10
11
10
10
00
11
00
01
01
11
10
11
10
11
00
01
10
00
10
10
11
00
00
10
10
00
00
01
00
00
01
00
10
10
10
11
11
10
01
10
10
11
00
01
10
10
00
10
00
00
11
10
11
00
11
00
10
10
10
01
00
01
10
11
00
10
00
10
11
01
01
10
10
10
10
10
01
11
10
01
11
00
10
11
00
01
00
10
00
01
10
00
10
10
01
00
11
10
11
11
00
11
00
01
10
10
00
00
11
10
10
00
10
00
11
00
00
10
11
00
10
10
10
00
11
00
00
00
10
10
01
00
10
00
00
10
10
00
11
10
00
01
11
11
10
00
11
10
00
00
11
10
01
10
11
01
00
01
11
10
10
00
00
10
00
01
01
11
00
00
01
10
01
10
11
00
00
10
01
00
11
11
01
01
10
11
10
01
01
11
01
10
10
00
11
00
01
00
10
00
11
11
00
01
11
10
01
11
00
00
00
10
00
00
10
00
11
10
10
00
00
11
11
00
00
00
10
00
01
11
10
01
00
00
10
00
00
11
01
00
10
10
01
00
00
10
10
10
01
01
11
10
00
10
00
00
01
10
10
11
00
11
10
00
10
00
00
10
00
00
10
11
00
00
10
01
01
01
10
10
10
10
00
11
10
01
11
10
01
01
10
11
00
00
00
10
11
00
01
11
01
01
11
00
00
10
10
11
00
00
00
01
00
10
10
10
01
00
00
10
10
00
00
10
10
10
00
01
00
11
00
01
10
10
10
10
10
00
11
01
01
11
11
00
10
00
00
10
10
10
00
10
10
00
10
00
00
10
01
10
00
01
10
01
00
00
10
11
01
11
11
00
00
00
01
00
00
11
11
00
10
00
01
00
00
10
11
01
10
10
01
00
00
10
10
00
11
00
11
10
10
10
00
10
00
10
10
10
00
00
11
00
11
10
10
10
00
00
10
00
00
10
00
00
10
00
11
10
00
00
10
10
11
00
00
01
10
00
00
11
10
10
01
11
10
10
11
01
00
00
00
10
10
10
11
10
00
00
00
11
10
10
11
10
00
00
01
00
01
11
10
00
00
10
00
01
11
01
11
11
01
00
10
00
00
11
10
01
00
01
10
11
10
10
11
00
00
10
11
00
00
10
10
10
00
00
00
11
11
01
00
10
01
10
11
01
00
10
11
00
11
00
00
00
11
10
11
01
00
01
10
10
00
00
10
10
10
00
01
11
01
10
10
10
10
01
10
00
00
00
11
11
00
10
00
00
00
11
10
00
01
10
10
01
00
00
10
10
10
11
10
01
10
01
10
10
01
01
00
11
11
01
10
11
10
00
10
10
01
00
00
10
01
10
10
10
00
10
01
01
00
11
10
10
00
01
11
10
10
01
00
10
00
00
00
01
00
10
00
11
10
10
10
10
01
00
10
01
00
10
00
10
00
10
00
10
01
11
10
00
00
00
10
11
01
10
11
01
00
00
10
00
10
10
01
10
10
10
00
01
01
10
01
10
11
11
10
10
01
00
00
10
11
00
01
00
11
00
01
00
10
10
10
10
00
11
10
01
01
00
10
10
00
10
10
10
00
01
01
00
10
10
00
10
00
01
10
00
10
00
10
00
00
01
10
10
01
10
11
10
00
00
01
11
11
10
00
11
10
10
00
00
11
01
00
01
11
10
00
11
10
00
00
10
01
00
01
11
11
00
11
00
10
11
00
10
10
11
01
00
01
11
10
00
00
00
11
10
01
00
11
10
00
00
01
01
00
01
10
10
00
10
00
01
10
11
00
01
10
10
10
00
10
10
00
00
00
11
00
11
10
00
11
00
10
00
00
11
10
01
01
10
10
01
00
11
00
01
10
01
01
11
10
00
00
10
01
01
01
10
10
00
11
01
01
11
10
01
00
01
00
10
11
00
00
10
01
01
10
10
10
10
00
00
00
11
11
00
00
10
10
00
00
10
11
10
00
10
10
00
00
10
10
00
00
10
10
11
00
10
01
01
10
00
00
10
00
01
11
10
10
01
11
00
10
00
00
00
00
00
01
10
01
10
10
00
00
01
00
10
10
11
11
00
10
00
00
00
00
10
01
11
10
11
11
11
00
00
10
11
11
00
00
11
11
00
00
00
10
00
00
10
11
01
01
01
10
01
00
01
00
11
10
00
10
10
00
00
00
10
00
10
10
01
00
00
00
11
00
10
01
01
00
11
00
10
10
10
10
00
01
10
10
10
10
00
01
11
10
10
00
01
00
11
10
10
00
10
00
00
11
10
00
01
10
01
00
10
00
01
11
00
01
11
01
01
00
11
00
01
00
10
10
01
11
00
11
11
01
11
10
10
00
10
10
00
00
10
10
00
00
10
10
10
00
10
10
10
10
10
01
10
10
00
11
10
11
10
01
00
00
01
01
11
10
00
00
11
10
10
10
00
10
00
10
10
01
11
10
00
00
11
00
11
10
00
10
10
00
00
00
10
11
11
11
00
11
00
11
00
01
11
10
00
00
00
10
10
00
10
10
00
10
00
10
11
00
11
00
11
11
11
10
00
01
00
10
10
10
00
00
00
11
00
11
10
10
01
11
10
01
10
01
10
01
10
01
00
10
10
11
00
00
00
10
10
10
10
01
00
00
10
11
01
00
10
10
01
10
00
00
00
00
11
00
11
00
01
00
11
11
00
00
10
10
01
11
10
11
10
00
11
10
00
00
01
10
01
00
10
11
10
10
00
11
10
10
00
00
00
10
11
00
00
00
10
00
10
00
00
01
00
00
01
01
00
00
10
11
01
01
11
10
00
10
10
10
10
00
01
00
10
11
01
01
00
11
10
10
01
11
11
00
11
11
10
01
00
01
10
10
01
10
00
01
10
10
11
01
00
00
11
00
11
00
01
10
10
10
01
10
10
00
00
01
10
10
10
00
10
00
01
10
00
00
11
11
00
10
00
10
00
01
11
00
00
10
10
10
00
11
01
00
10
00
10
00
11
00
11
00
00
10
00
00
00
01
11
11
11
10
01
10
10
10
11
01
00
00
10
11
11
10
00
11
11
11
01
00
11
10
00
10
01
01
11
10
10
10
00
00
00
11
00
01
11
00
00
10
01
11
00
00
10
00
00
10
01
01
00
00
01
10
11
01
10
11
00
10
01
00
11
10
10
01
01
10
00
10
00
00
01
10
10
00
01
10
00
00
10
10
00
00
11
00
11
00
01
10
11
01
00
00
11
10
00
10
11
00
00
00
00
00
00
10
11
10
00
00
00
01
10
00
00
00
01
11
00
11
00
10
10
10
01
10
00
00
10
11
11
00
11
10
10
10
00
10
00
00
10
00
00
00
11
01
01
01
00
00
10
00
10
10
00
00
11
10
01
00
01
01
11
10
01
10
11
10
01
00
10
10
00
10
00
10
10
10
01
00
11
11
10
10
00
00
10
11
00
01
10
01
10
01
00
00
10
10
00
01
01
11
01
10
11
11
01
10
00
00
00
10
10
11
00
01
10
00
00
10
10
10
01
00
10
10
00
01
11
00
00
00
10
01
00
00
10
10
10
00
00
11
01
01
11
00
11
00
10
10
00
00
00
10
11
01
00
10
10
01
10
10
11
00
01
00
00
01
00
10
10
10
00
01
10
01
01
00
00
11
01
10
10
10
11
00
11
01
00
11
00
01
10
11
00
01
10
10
10
00
10
10
00
01
11
01
00
00
10
00
10
11
00
01
10
10
00
10
01
00
10
10
01
01
11
10
10
00
01
10
00
11
10
00
10
10
10
00
01
10
00
11
10
01
10
11
10
11
10
10
10
01
01
10
00
00
00
10
10
10
01
10
10
10
11
01
00
11
10
00
00
10
10
11
10
01
00
00
10
01
01
00
10
10
10
11
00
11
10
10
00
01
11
00
00
10
10
10
10
01
10
10
01
10
10
10
10
10
11
00
01
01
00
00
10
11
11
00
00
00
10
00
10
00
00
10
00
10
10
10
10
11
10
00
00
01
00
10
10
00
00
00
11
11
00
11
10
10
10
10
00
10
00
11
10
01
11
11
01
01
01
10
00
00
00
00
10
11
01
10
11
00
10
00
00
00
01
01
10
10
00
00
00
10
00
10
00
10
10
01
10
10
11
00
00
00
00
00
00
10
01
10
11
00
10
10
01
10
11
01
01
00
10
10
10
00
00
11
10
01
00
10
11
00
11
00
01
11
00
01
10
11
11
01
00
11
00
00
11
10
00
00
10
10
11
01
00
00
10
10
00
01
10
11
11
01
10
10
10
01
11
11
01
00
01
00
00
10
10
00
00
10
10
01
01
10
01
10
10
00
01
01
00
11
10
10
01
00
11
11
00
00
00
11
10
00
00
00
10
01
00
00
00
01
00
10
10
11
01
10
00
00
00
10
10
10
10
00
10
10
00
11
11
01
00
10
10
10
00
10
10
00
11
10
10
00
00
10
01
00
10
11
10
10
00
11
00
01
10
11
10
10
00
00
00
00
10
10
11
00
01
11
11
00
10
10
10
10
10
00
00
01
00
11
11
11
00
10
11
01
00
00
10
10
00
00
10
10
10
00
11
10
01
00
10
11
00
11
00
10
10
01
00
10
10
10
10
11
11
00
00
01
00
11
00
00
10
01
01
11
00
00
10
10
11
00
00
10
10
01
00
10
10
00
00
01
11
10
01
10
00
00
10
01
10
00
11
10
11
10
00
11
10
01
00
00
10
00
01
00
01
10
00
01
01
10
10
10
10
10
00
00
00
10
10
01
10
10
00
00
10
11
01
11
00
10
11
10
10
00
01
10
01
00
10
10
10
01
01
10
10
00
00
01
11
00
00
11
10
00
10
01
10
10
00
00
10
11
10
01
00
10
10
00
00
10
01
10
10
01
00
00
11
01
10
10
11
11
10
10
00
11
11
00
00
00
00
01
00
10
11
00
01
10
11
00
01
01
11
01
11
10
01
00
00
00
10
00
01
10
10
10
00
01
11
00
00
11
11
00
01
11
00
00
00
11
10
00
11
01
00
10
00
00
01
00
01
10
10
00
11
00
11
00
01
10
11
10
01
10
00
01
10
00
01
10
10
01
00
11
10
00
00
10
11
00
11
10
00
01
10
11
11
11
00
00
11
10
11
11
01
00
00
00
11
11
00
11
10
00
10
10
00
10
10
00
00
10
00
00
10
00
00
01
00
10
00
10
00
00
00
10
00
11
10
10
10
00
11
01
10
10
00
00
10
10
00
00
10
10
10
00
00
00
01
11
11
01
10
10
10
01
10
10
00
01
10
10
01
10
11
00
10
00
10
11
11
01
00
00
11
11
00
10
00
00
00
10
10
10
10
10
00
00
11
10
10
00
01
00
01
00
00
00
01
11
11
10
00
11
10
10
10
00
10
01
00
01
00
10
10
10
00
00
00
10
11
00
10
10
00
01
11
01
01
00
01
10
11
10
10
00
01
01
11
10
00
11
00
00
11
10
00
10
00
10
10
10
01
00
01
01
00
11
00
00
10
10
00
10
10
11
00
00
01
01
10
00
10
01
11
10
10
00
10
00
10
01
01
10
01
10
01
10
10
10
00
01
11
01
11
00
11
10
01
00
00
10
10
01
10
00
00
10
11
10
01
01
10
00
00
10
11
10
01
00
00
00
01
10
10
00
01
00
11
10
10
01
01
01
01
00
10
01
01
00
01
10
11
00
11
00
01
10
00
00
10
10
10
10
00
01
10
10
10
10
10
01
10
00
00
10
00
01
11
11
00
11
00
00
01
10
11
00
10
10
00
01
11
10
00
00
10
01
11
01
10
10
10
11
10
10
00
00
10
00
00
00
00
01
10
11
01
01
11
10
00
10
00
01
01
11
10
00
00
00
00
01
10
00
10
11
11
00
10
01
00
10
10
11
01
00
01
00
10
01
10
01
00
00
10
00
10
00
11
10
01
11
10
00
10
10
00
00
10
10
00
11
00
00
10
10
01
00
01
10
01
00
10
10
10
10
00
00
11
01
01
10
11
01
11
01
00
10
11
00
11
00
00
10
01
01
11
11
00
00
00
00
10
10
00
01
10
10
10
00
11
10
00
10
11
01
10
01
10
11
10
00
10
11
00
10
00
10
10
00
11
00
00
11
11
00
10
00
11
01
10
10
00
00
01
01
01
01
10
01
01
10
10
11
00
10
10
00
00
10
10
00
10
10
01
11
01
00
11
00
00
11
10
10
10
01
00
10
00
01
10
00
00
11
00
10
01
10
11
10
10
01
11
10
01
01
11
10
10
00
11
00
10
10
00
00
10
01
00
10
10
01
10
00
01
10
10
01
01
00
10
11
00
00
10
10
00
11
10
10
00
00
10
00
00
00
11
10
10
11
11
00
10
00
00
10
11
11
00
00
00
00
10
10
10
00
10
00
10
10
00
00
00
10
00
00
00
11
11
10
00
10
11
00
10
00
01
11
10
11
11
00
11
00
10
00
10
11
00
10
10
00
01
00
00
11
11
10
00
11
11
10
00
01
10
10
00
11
01
01
00
00
11
00
01
00
10
10
10
11
10
10
00
10
00
00
00
11
10
00
11
11
10
00
01
10
00
01
11
10
10
00
00
10
00
00
01
01
01
10
10
10
10
10
00
00
11
00
11
11
10
11
00
10
10
00
01
01
10
10
00
01
01
01
00
10
00
11
01
11
00
01
00
11
00
10
11
00
10
11
00
01
11
00
11
10
11
10
00
11
10
01
10
10
00
10
01
00
10
10
00
01
10
11
10
10
00
01
10
11
10
00
00
11
11
01
00
11
10
11
00
00
11
11
00
01
10
11
00
10
00
11
10
00
11
00
11
01
11
00
10
11
00
00
10
11
00
01
00
10
01
00
00
11
00
01
10
00
00
10
11
00
00
10
11
10
10
10
00
10
10
10
00
00
00
00
00
00
11
10
01
01
00
11
10
01
00
10
10
00
10
10
01
11
01
00
00
10
10
10
11
00
01
10
10
01
10
00
10
10
01
10
10
00
01
10
01
10
11
10
10
10
00
10
10
10
00
11
00
01
00
11
10
10
00
00
11
11
00
10
01
10
11
01
10
00
01
00
11
00
00
00
11
10
11
11
00
11
00
00
10
00
00
01
10
11
00
00
00
10
10
00
11
10
11
10
00
01
11
10
11
00
00
10
00
00
00
10
10
10
10
10
10
00
11
10
00
01
11
10
01
00
11
10
11
00
00
10
10
01
01
10
10
10
10
10
11
10
00
01
00
10
10
00
10
00
10
10
11
10
10
01
00
10
10
00
00
10
10
10
00
00
01
01
10
00
10
00
00
10
10
10
00
01
10
10
10
10
11
10
10
00
01
10
01
10
00
11
11
10
10
00
01
11
00
00
00
10
00
00
11
11
01
00
10
11
01
01
10
01
01
00
00
00
10
11
00
00
10
11
10
00
00
10
10
00
00
11
00
10
10
10
10
00
10
11
10
00
10
01
01
11
10
00
11
10
01
00
10
11
10
10
10
11
00
00
00
11
10
00
11
11
10
00
11
10
10
10
00
00
00
10
10
01
00
11
10
00
01
00
11
00
10
10
10
10
11
01
00
01
01
10
00
00
00
10
00
01
01
10
00
11
10
10
10
01
11
00
10
00
00
10
10
00
00
10
10
10
00
00
11
11
00
10
10
01
10
11
11
00
00
00
00
00
00
10
10
01
00
00
00
10
10
10
01
11
11
11
10
11
10
11
10
01
01
10
01
00
00
00
11
10
10
10
00
01
11
00
11
01
01
00
10
10
00
11
10
00
00
10
11
00
10
01
10
10
00
10
01
01
00
10
10
01
00
11
11
00
00
11
01
01
10
01
00
10
00
10
10
10
10
00
00
00
10
11
00
00
10
00
00
00
00
10
00
00
00
00
10
11
11
10
00
00
10
00
10
10
10
10
01
00
01
10
11
01
10
10
10
00
01
01
11
10
11
00
10
00
00
01
00
11
11
10
01
10
10
00
11
01
10
00
10
10
01
10
00
10
11
00
00
01
10
10
01
00
10
10
00
11
00
01
00
10
00
10
11
01
11
11
10
01
00
00
11
10
01
00
11
11
01
00
11
00
00
10
00
10
10
00
01
00
00
11
10
00
01
01
10
10
10
11
00
10
10
01
10
11
00
01
00
10
11
00
10
00
11
00
00
10
00
10
11
01
00
10
00
00
11
01
10
10
00
10
10
01
01
11
10
00
00
00
01
10
00
00
10
11
10
01
10
10
10
00
00
10
00
00
01
00
00
10
00
00
11
10
00
00
11
00
00
01
10
01
00
10
00
00
10
10
10
00
11
10
00
00
10
00
00
10
10
00
00
01
01
01
00
10
11
11
10
00
00
10
10
11
00
10
10
11
11
10
11
01
11
01
11
10
00
10
10
01
01
00
10
10
01
11
00
11
10
10
10
10
00
11
10
00
00
01
10
11
10
11
10
11
10
01
10
01
01
10
10
10
10
01
01
10
00
11
01
11
01
11
10
01
00
00
00
10
11
00
01
10
00
11
00
01
00
00
10
11
00
10
01
00
11
10
00
10
00
00
00
10
11
01
10
00
11
00
00
10
01
00
10
00
11
11
01
11
10
11
00
00
01
01
10
10
00
00
01
01
00
11
11
01
00
10
01
00
10
11
11
00
00
10
00
10
11
11
00
01
00
10
00
00
01
10
10
01
10
11
10
10
00
00
10
01
10
11
00
00
10
01
10
10
00
10
11
01
01
00
01
10
10
00
00
10
01
00
11
00
00
10
10
10
10
00
01
11
10
01
01
10
01
00
01
00
10
10
00
00
10
00
01
00
11
00
00
10
00
10
00
01
11
01
01
10
10
10
10
10
00
11
11
01
10
00
10
10
01
00
10
11
00
10
01
11
10
11
00
01
00
11
00
10
10
00
00
10
11
00
10
00
10
10
10
01
00
01
00
11
00
00
10
01
10
10
10
00
10
10
00
10
00
10
01
10
10
00
00
11
00
10
10
00
10
00
00
01
10
10
01
01
01
00
10
10
10
10
01
00
10
00
01
00
00
10
10
00
11
10
10
10
00
11
00
00
10
11
00
00
01
00
00
10
10
11
00
00
00
10
10
00
00
10
10
00
01
10
00
00
01
00
00
10
10
10
01
01
01
11
00
10
10
01
11
10
01
00
11
11
10
00
10
00
00
10
10
00
00
10
00
00
00
10
11
10
00
00
01
10
01
01
11
10
00
00
10
00
01
01
10
11
01
11
10
10
10
11
00
10
00
00
11
10
10
10
00
10
00
11
10
00
01
10
11
10
00
01
11
00
01
00
00
10
10
00
11
11
00
00
10
00
10
11
10
01
00
00
11
10
01
10
11
01
00
10
00
00
11
00
00
00
10
10
10
10
00
11
01
01
10
00
00
11
10
00
10
10
01
00
00
10
10
00
00
11
10
00
00
00
00
10
10
11
10
11
10
11
10
10
00
00
10
01
10
10
10
01
00
10
10
00
01
11
11
00
00
10
00
01
11
01
01
10
01
00
01
10
01
01
11
10
10
10
00
01
10
10
00
00
01
10
10
00
11
10
00
10
11
10
01
00
11
10
10
00
00
10
10
00
00
10
10
10
10
11
00
01
11
11
11
00
10
11
00
01
10
01
01
00
11
00
11
11
10
10
10
00
00
00
00
01
10
11
00
10
00
10
10
01
00
10
10
00
10
01
10
10
11
10
00
00
01
00
10
11
10
11
10
00
10
10
11
00
11
00
00
11
01
00
10
00
01
10
11
10
00
00
00
11
00
00
00
01
10
10
10
11
10
10
01
01
11
01
00
11
00
01
11
10
01
01
01
10
00
00
01
10
10
00
00
01
00
00
11
10
10
00
01
10
10
01
00
11
00
11
00
10
01
10
00
01
10
11
00
00
10
11
10
01
10
11
11
11
01
10
00
00
00
00
10
10
00
11
00
10
00
00
00
10
11
00
11
00
10
10
10
01
01
00
00
00
11
00
10
10
01
00
01
11
11
01
10
11
11
10
00
10
10
10
00
01
10
10
00
10
10
00
00
00
10
11
01
11
01
10
00
00
11
10
00
01
10
00
00
11
00
01
11
10
00
11
11
10
10
01
01
10
11
10
10
00
10
00
01
10
10
01
00
00
00
00
01
10
01
11
01
11
10
00
00
01
10
10
11
00
01
00
11
01
00
10
10
00
00
10
01
11
00
10
10
01
01
00
01
10
01
00
11
00
11
00
10
00
00
10
01
10
00
01
10
00
11
11
11
01
01
01
11
10
11
11
01
00
11
11
11
00
10
00
01
00
11
10
01
00
11
11
10
00
00
00
10
10
00
10
00
01
10
11
10
10
00
01
10
00
00
10
00
11
01
01
11
11
10
11
00
01
01
10
11
00
01
10
10
00
00
11
11
10
00
00
01
10
11
00
10
01
01
00
00
00
11
11
10
10
01
10
00
00
00
00
00
11
10
11
11
01
10
01
00
01
00
00
01
10
10
00
00
10
10
00
10
10
00
10
01
01
11
00
00
11
00
00
01
01
01
00
11
01
10
10
10
10
00
00
11
10
01
01
10
00
00
01
01
10
10
00
10
01
00
10
00
10
10
10
01
10
00
11
10
10
11
00
00
00
11
00
00
01
10
11
11
10
00
00
11
10
00
00
00
10
10
00
01
00
00
01
00
10
11
00
01
11
10
11
10
10
10
00
10
10
10
00
00
00
10
01
00
10
10
01
11
00
11
11
00
01
01
00
10
00
01
10
10
10
00
00
00
01
10
00
00
10
11
00
00
00
10
10
10
00
00
10
01
01
10
10
00
01
11
00
01
01
10
10
11
11
10
00
01
00
11
10
11
10
10
00
00
01
10
00
11
10
10
00
01
10
00
00
00
00
11
00
00
00
00
10
10
00
10
11
11
00
10
01
11
01
00
00
01
00
10
10
10
00
01
00
11
10
01
00
01
10
11
01
00
10
10
00
00
10
10
10
10
10
11
10
01
00
00
00
11
11
00
11
10
00
00
10
01
00
11
11
01
11
11
01
00
01
00
11
10
01
00
11
10
10
01
00
10
10
00
00
11
10
00
00
01
00
01
10
10
00
00
10
10
00
10
11
00
01
10
00
11
10
10
10
00
01
10
11
11
11
01
01
10
10
00
00
01
10
11
10
01
11
10
10
00
00
10
00
01
10
00
00
01
10
10
00
01
01
10
00
10
10
00
00
01
11
10
01
00
10
11
11
10
01
10
11
00
01
00
10
11
01
10
11
00
00
10
00
10
01
00
10
00
00
10
10
10
10
11
00
10
10
10
00
01
11
10
01
01
00
10
00
01
10
11
00
10
01
01
10
00
10
00
11
10
00
10
10
00
00
11
11
01
10
00
01
01
10
00
11
10
10
10
00
00
00
11
11
00
01
01
11
01
10
01
01
10
10
10
00
10
10
01
00
11
11
01
10
00
01
10
00
10
00
00
10
01
00
11
10
11
00
11
00
00
11
00
11
10
01
00
11
01
11
10
00
10
10
10
00
10
10
11
00
00
10
10
00
01
01
10
00
01
11
01
00
10
01
00
00
10
10
00
00
01
01
00
10
01
00
11
10
00
00
00
10
01
01
00
11
00
10
11
10
00
00
10
10
01
10
00
11
00
00
11
01
00
11
11
10
10
00
01
11
10
10
00
10
10
10
10
00
01
11
00
00
00
01
01
01
01
11
00
01
10
10
10
01
10
11
01
00
00
11
10
10
00
01
10
01
00
10
10
00
00
10
00
00
10
01
00
01
10
01
00
00
01
11
10
10
00
10
10
11
00
01
00
10
11
10
10
00
00
10
10
00
00
10
10
10
01
11
01
00
01
11
10
00
11
00
01
10
11
10
01
10
01
00
10
11
01
00
10
00
00
10
10
00
10
10
11
00
00
11
00
00
10
01
01
00
11
11
10
00
10
00
00
10
10
10
00
10
01
10
11
10
00
11
10
01
10
10
01
01
00
01
00
11
00
10
10
00
00
11
10
01
11
10
10
00
10
01
00
10
10
10
11
01
00
00
00
01
00
00
10
10
10
10
10
01
01
10
00
11
10
00
11
10
10
11
11
01
10
10
10
11
10
01
00
11
10
10
01
00
11
00
10
10
10
00
01
00
11
11
01
10
00
01
11
00
00
01
11
01
10
10
10
00
00
11
00
00
10
11
01
00
00
10
00
10
10
10
11
01
11
00
00
10
11
10
10
00
00
00
10
01
00
00
00
11
10
10
11
00
11
10
11
00
01
11
10
10
00
11
00
01
11
10
01
01
10
00
11
11
10
00
01
10
00
00
00
00
00
01
00
10
11
10
00
01
10
11
00
00
10
00
00
00
10
11
00
01
00
00
10
10
00
01
10
11
11
10
00
00
00
00
00
10
00
01
11
00
11
10
10
00
01
00
00
00
10
10
00
10
10
11
10
10
00
10
10
00
00
00
11
00
00
11
11
10
00
00
00
00
00
11
10
01
11
01
00
10
10
01
10
10
01
00
10
10
10
00
11
10
10
10
10
10
00
11
11
00
01
10
00
10
00
10
00
01
10
00
10
10
10
00
01
01
01
10
01
00
01
00
01
10
11
10
00
01
10
10
01
00
10
00
00
00
10
00
11
10
00
10
11
00
00
01
00
11
11
00
10
10
00
00
11
10
00
10
00
10
00
00
11
10
01
11
11
10
10
10
10
01
11
01
10
01
10
00
00
10
00
01
01
10
10
00
11
10
11
00
11
00
01
10
00
00
10
10
01
11
11
00
10
10
00
10
01
00
11
10
10
10
11
10
00
10
11
10
10
01
11
00
01
00
00
10
01
00
00
01
10
00
01
01
10
10
10
10
10
11
00
00
10
10
00
10
00
10
10
00
00
00
11
00
00
11
10
00
10
00
00
00
10
10
10
00
01
00
00
11
00
10
01
00
10
10
10
10
11
00
00
11
01
10
00
01
11
10
01
10
11
00
10
00
10
10
00
10
00
00
11
00
11
00
10
01
11
10
10
11
01
11
10
00
11
10
00
01
01
10
01
10
01
00
10
00
01
10
10
00
11
00
10
01
01
00
11
11
00
10
01
10
01
00
11
01
00
10
11
00
00
01
10
00
00
11
00
11
01
11
10
10
10
01
00
10
00
10
00
00
10
10
01
01
11
10
00
00
10
00
00
10
10
11
10
00
00
10
11
00
10
01
00
11
10
01
00
01
10
10
01
01
10
11
00
01
00
10
11
01
00
10
00
00
00
10
10
10
10
00
10
10
10
01
11
10
11
10
00
00
11
10
10
00
10
00
10
00
00
01
11
10
10
00
11
01
11
10
01
11
00
00
10
00
10
00
00
11
01
01
11
00
11
00
11
00
00
00
10
10
01
00
10
10
11
00
10
00
00
00
01
11
00
11
00
11
00
10
11
10
00
10
10
00
00
00
01
10
11
00
10
11
10
10
00
01
10
11
00
10
11
00
10
00
11
10
10
00
10
01
01
11
00
10
11
10
10
11
10
01
10
00
00
00
10
10
01
10
00
10
00
00
00
11
00
00
10
01
00
00
10
10
10
10
10
10
10
00
10
11
11
01
10
01
00
00
00
01
11
00
00
11
11
10
11
00
01
00
11
10
11
01
00
11
10
00
10
11
00
11
00
00
10
01
00
11
11
00
01
10
10
10
10
10
00
01
10
00
11
10
00
00
10
10
01
00
00
00
00
00
01
00
01
00
10
00
10
11
00
10
10
00
10
00
00
11
00
01
01
10
11
10
10
00
01
10
10
10
00
00
00
00
10
00
10
00
10
10
10
01
01
10
11
11
00
10
10
01
11
10
01
00
00
11
10
00
10
00
00
01
11
11
00
10
01
00
10
11
10
00
00
10
00
00
11
10
01
10
00
00
10
11
01
00
11
00
10
11
01
10
10
01
11
10
01
10
01
00
00
10
01
10
00
01
00
01
10
01
10
10
10
10
00
00
10
11
00
11
10
01
00
00
00
11
11
00
01
10
11
00
10
10
00
01
10
10
00
00
10
10
00
01
11
01
01
00
10
00
10
10
11
00
00
00
01
11
10
10
00
00
00
10
10
00
10
00
10
10
11
00
11
10
10
11
11
00
00
10
10
10
01
00
11
01
00
10
10
10
01
10
10
00
00
10
11
00
11
10
00
10
10
00
00
11
00
10
10
00
00
00
10
11
11
10
11
11
00
01
01
10
11
10
00
00
00
10
00
00
10
00
01
00
00
00
11
11
00
01
10
00
00
00
00
01
00
10
00
00
10
10
01
01
10
00
10
10
10
00
00
11
10
10
10
00
10
10
01
11
10
01
00
10
00
01
00
00
10
10
01
01
00
10
01
10
10
01
00
10
10
10
01
01
00
10
00
10
00
00
10
00
01
01
01
01
10
00
00
00
10
01
01
10
11
10
10
01
00
00
10
00
10
11
00
11
11
00
11
10
00
01
00
01
10
11
01
01
11
11
00
01
01
01
11
10
01
11
00
00
11
10
00
10
10
01
11
11
00
10
10
10
10
01
11
10
10
01
11
00
10
01
00
00
11
10
11
00
01
11
00
01
11
11
10
10
00
00
10
10
00
00
00
00
00
10
10
00
01
11
00
10
10
00
00
10
10
00
00
10
10
11
00
01
00
11
00
10
00
10
01
00
00
10
10
00
00
11
10
01
00
11
00
01
00
00
10
01
10
11
10
11
10
10
00
11
10
00
00
10
00
00
10
00
10
10
00
00
10
01
01
00
00
01
10
10
10
11
00
10
01
11
11
00
00
01
00
11
10
11
00
10
10
00
11
10
11
10
00
00
01
01
00
10
10
11
01
10
00
00
10
10
00
10
11
00
10
00
11
10
00
11
01
10
01
00
10
01
01
00
10
00
00
10
10
11
11
00
00
01
10
11
10
00
00
10
01
01
00
10
01
00
11
01
10
01
00
10
10
00
00
11
00
01
10
10
10
00
10
10
11
00
01
10
11
10
11
00
00
10
00
11
10
01
10
10
00
10
00
01
10
11
01
10
01
01
10
11
11
00
01
11
11
01
01
11
11
00
00
10
00
00
11
10
01
00
10
10
10
01
01
00
10
01
11
11
11
00
00
10
10
10
10
00
01
01
00
00
10
10
10
01
10
11
01
10
01
10
00
11
10
00
00
11
11
00
00
00
11
01
11
11
01
01
01
01
10
10
00
01
00
11
10
00
10
01
10
00
10
10
10
10
10
01
11
00
00
10
00
01
00
11
10
11
11
00
01
01
10
10
00
00
00
01
11
10
11
00
01
00
10
11
01
10
00
10
10
00
00
00
10
10
00
10
10
01
11
11
10
11
11
00
00
10
00
00
10
10
00
00
11
10
00
00
10
00
10
10
10
00
00
00
10
00
10
01
10
10
00
01
00
10
10
11
00
11
00
00
10
10
11
10
01
10
10
01
01
10
10
10
11
10
01
00
00
01
10
00
10
10
00
01
00
01
10
10
10
00
10
10
10
01
11
01
10
01
10
11
10
10
00
00
00
11
01
11
11
00
10
00
00
11
10
01
10
00
00
00
00
10
10
11
00
10
00
10
00
00
01
00
11
11
00
10
00
11
10
10
00
00
00
01
10
11
10
01
11
00
01
10
10
01
00
10
11
00
01
10
00
10
10
10
00
10
10
00
00
11
10
00
11
00
11
11
10
01
10
10
11
10
00
01
01
10
01
00
00
11
10
01
11
11
00
00
11
11
10
00
11
10
11
10
00
00
00
00
10
01
00
11
01
01
00
00
10
11
10
00
00
11
01
11
00
00
00
10
10
00
00
11
10
10
00
11
11
11
11
00
10
10
00
00
11
11
01
00
10
11
00
01
10
01
10
10
10
10
00
11
00
10
01
10
11
00
10
11
10
01
00
00
10
11
10
10
00
00
10
01
11
11
01
00
11
01
01
11
00
01
10
10
11
10
00
00
00
11
00
10
11
00
11
11
01
00
10
10
01
00
10
10
00
01
01
11
10
11
00
01
01
10
01
00
01
10
00
00
10
01
10
01
00
10
11
00
00
10
10
01
00
10
10
10
00
10
00
01
10
10
00
10
10
00
10
11
11
00
00
00
00
11
11
00
00
01
10
10
00
00
10
10
00
00
10
00
10
10
00
00
00
10
00
10
00
00
00
10
00
10
11
00
11
10
01
10
11
00
01
00
10
00
10
10
11
01
00
11
10
10
01
10
00
00
10
11
00
10
10
10
10
00
10
11
10
01
00
00
11
10
10
00
10
10
01
11
00
11
11
00
11
00
11
01
00
10
00
11
10
00
10
00
00
00
10
10
11
01
00
00
10
10
00
01
00
01
11
10
00
11
00
11
11
01
01
10
10
00
10
11
01
01
10
10
01
00
00
10
10
01
00
10
10
00
10
01
10
10
10
00
01
00
10
10
10
00
00
11
10
00
11
10
11
10
00
01
10
10
01
10
00
10
10
00
10
10
01
10
00
00
10
10
10
10
00
11
10
00
01
11
11
00
00
00
10
11
00
01
10
01
01
00
01
10
00
00
11
10
10
00
01
01
10
01
10
10
10
11
00
01
11
11
00
10
01
10
10
01
11
11
10
01
01
10
10
10
00
00
00
01
11
10
11
00
01
10
10
00
00
10
11
10
00
00
10
10
10
10
01
01
10
10
00
11
11
10
11
00
01
00
00
10
00
00
10
01
01
00
10
10
00
10
11
00
00
00
10
00
10
00
00
10
10
00
00
10
10
11
10
00
01
00
01
10
00
00
11
01
01
01
01
10
10
00
10
00
00
10
11
00
10
10
00
11
10
00
10
00
00
10
11
00
01
10
11
10
01
00
10
10
01
00
10
00
00
10
11
00
01
01
10
10
11
01
10
00
01
10
10
00
00
01
01
01
10
10
00
10
10
01
01
10
10
10
00
00
01
00
10
11
10
11
00
11
00
00
11
01
11
01
10
10
10
10
00
00
11
10
00
00
00
00
00
00
01
10
00
10
01
01
00
10
10
00
10
00
10
10
01
10
00
10
10
00
00
01
11
10
00
11
11
11
01
01
10
10
10
11
01
11
00
00
10
00
00
11
10
00
00
11
00
11
10
00
01
10
11
10
01
10
00
00
11
01
01
10
10
10
00
10
10
00
00
01
10
00
00
01
00
00
10
11
01
11
00
00
10
00
10
00
00
10
10
00
01
01
00
10
11
00
10
00
11
00
11
01
10
10
11
01
00
10
10
01
00
00
00
00
00
10
00
00
00
10
00
00
00
10
00
10
00
11
00
11
11
10
00
11
10
10
10
00
11
10
01
11
00
01
11
10
10
01
01
11
11
00
00
10
11
01
01
10
10
00
10
00
00
00
11
00
10
10
10
10
10
10
00
00
00
00
11
10
00
01
00
11
11
10
00
10
10
00
01
10
10
00
10
11
00
00
00
01
01
00
10
00
11
10
01
10
01
11
10
00
10
00
01
00
10
10
10
10
11
00
10
00
00
10
00
10
10
01
00
01
10
00
10
10
01
10
10
01
10
10
01
10
10
00
11
00
10
11
00
11
10
00
11
01
11
00
00
10
11
01
10
00
00
10
00
10
11
01
10
01
00
00
01
10
10
11
10
10
00
00
00
00
10
10
00
01
11
11
11
10
00
00
10
11
00
11
10
00
00
01
10
00
00
10
10
00
11
10
01
10
11
00
00
00
00
00
10
11
00
00
11
00
00
01
10
00
00
10
10
11
00
00
01
11
11
01
10
01
10
00
01
10
10
00
00
11
00
01
10
00
00
11
11
01
11
11
10
10
10
01
10
11
11
10
00
10
01
00
00
11
10
01
11
01
00
10
10
00
10
10
00
00
01
10
11
11
11
11
10
00
10
00
00
00
00
10
11
00
11
11
01
00
00
01
00
10
11
00
01
01
11
10
11
00
00
10
00
10
10
11
00
00
10
00
01
00
01
11
00
01
10
10
11
11
00
10
10
01
01
10
00
01
00
10
01
00
10
11
10
10
01
10
11
00
10
00
00
11
00
01
10
01
00
11
11
10
10
01
10
00
00
11
00
11
01
10
01
10
10
01
00
11
10
10
00
10
00
10
01
10
11
00
00
00
01
00
11
00
10
11
00
10
10
00
00
10
11
00
00
10
11
10
10
01
00
10
10
00
01
11
01
10
10
00
00
10
10
00
00
01
11
11
10
11
00
11
01
01
00
10
10
00
00
10
10
00
00
00
11
10
00
10
00
10
00
10
11
10
10
10
10
10
11
11
11
10
10
10
11
10
01
01
10
10
00
00
10
00
01
11
00
11
11
00
00
11
01
01
10
11
00
01
10
10
00
00
00
10
10
00
00
10
11
10
00
10
10
00
01
00
10
01
01
11
00
00
10
11
11
10
10
01
00
00
01
00
01
10
01
10
01
10
01
00
10
00
00
10
11
01
00
10
10
00
11
00
01
10
10
01
11
10
00
01
10
10
11
00
00
01
10
10
00
10
00
10
01
00
10
00
00
11
01
00
10
11
00
10
01
10
01
00
00
10
00
00
11
10
00
00
10
11
00
10
00
00
00
01
10
01
10
00
01
10
00
10
10
01
10
11
00
10
10
10
10
00
00
10
10
10
00
11
11
11
00
11
10
10
10
01
00
10
10
01
10
10
10
11
01
00
01
00
11
11
01
10
01
00
00
10
10
10
00
10
10
10
00
00
10
10
00
00
00
01
01
10
10
00
11
10
00
10
01
11
10
10
01
00
11
11
00
11
00
10
00
11
10
00
00
10
10
00
00
01
10
00
10
11
11
11
01
01
00
01
00
10
10
00
01
10
00
00
10
00
00
10
10
10
10
01
10
11
00
00
00
11
10
10
00
00
00
11
01
00
00
10
00
10
11
00
01
10
11
00
01
10
00
00
10
10
10
00
01
00
00
10
01
10
10
00
10
00
01
11
11
01
10
00
00
00
11
01
11
00
00
11
01
10
01
00
11
10
00
11
11
00
00
10
11
01
01
01
01
00
11
00
10
00
01
01
10
11
01
10
10
10
11
00
00
10
00
10
01
00
11
11
01
10
10
10
00
00
10
10
01
00
11
00
00
00
10
00
10
01
00
00
11
11
00
01
00
01
00
00
11
11
11
01
10
01
00
10
10
00
00
10
00
00
10
10
10
01
10
11
10
10
11
00
10
11
01
01
11
10
11
00
10
00
10
00
00
10
10
10
10
10
10
01
11
00
01
10
00
01
00
10
10
00
00
11
01
10
10
01
01
00
00
00
10
00
10
10
01
01
01
01
10
00
00
11
11
11
01
11
10
00
10
10
00
10
10
00
01
01
10
01
10
10
00
00
10
10
00
01
10
10
00
01
10
01
10
11
01
00
10
00
10
10
00
01
00
11
11
10
11
11
00
10
00
00
00
10
10
00
00
10
10
11
10
10
00
11
00
10
00
01
11
00
00
10
01
10
11
10
01
11
10
01
10
10
01
10
00
00
00
00
10
00
00
10
11
00
10
01
10
01
10
10
00
01
00
10
11
00
10
10
11
00
00
10
10
11
00
10
01
10
10
11
10
00
11
00
00
10
10
10
11
01
01
00
00
11
10
00
00
10
10
11
10
01
10
00
01
10
00
11
00
11
10
00
10
01
00
01
00
11
10
00
10
01
11
11
10
01
00
10
11
00
00
10
10
00
00
10
10
10
11
00
01
01
10
10
11
10
00
11
10
00
00
00
11
11
00
01
10
00
01
00
00
00
11
11
00
11
00
11
01
00
10
10
10
00
11
11
00
10
10
11
11
11
00
00
10
10
00
00
00
10
10
10
10
01
00
11
11
01
11
00
00
01
10
10
11
00
00
00
11
11
11
00
11
00
01
11
00
00
10
11
00
10
00
00
10
11
10
11
10
00
00
10
00
00
00
10
10
01
10
10
01
10
00
10
11
00
10
10
01
11
01
00
01
00
00
00
10
11
10
00
00
01
01
10
01
00
10
10
11
11
00
00
11
10
01
10
10
00
00
10
01
10
10
00
11
10
10
01
00
00
11
10
00
01
11
11
10
01
11
00
00
11
10
00
10
10
01
00
10
10
10
00
00
11
10
01
00
11
10
00
01
00
00
00
10
11
10
01
01
11
00
11
10
11
01
01
11
10
11
00
00
10
01
00
01
10
11
00
10
10
00
00
10
00
00
11
10
10
10
00
11
00
01
00
00
11
00
11
10
00
10
00
00
00
00
10
10
00
00
10
00
10
00
11
11
11
00
00
00
10
10
00
11
10
11
01
00
10
10
11
01
01
10
10
11
01
10
00
00
00
10
00
10
11
11
10
10
01
00
10
11
00
00
01
10
11
00
00
10
10
00
00
00
11
00
10
11
10
00
10
00
01
11
10
00
11
00
00
10
00
00
10
11
11
01
01
00
10
10
10
10
01
01
11
00
10
10
11
00
10
10
00
00
11
00
00
10
11
10
11
00
10
10
10
10
00
01
10
10
00
00
10
01
11
01
00
10
01
10
00
10
10
00
10
11
10
00
00
00
01
00
10
00
00
00
10
11
10
00
00
01
11
01
00
00
10
10
11
01
00
10
11
10
10
10
01
11
10
01
00
01
00
10
10
11
00
01
01
10
10
10
00
00
00
10
00
00
10
00
00
10
00
00
00
00
01
01
10
11
10
01
10
10
10
00
11
01
00
11
00
00
00
00
10
00
01
10
01
10
00
00
01
10
10
11
01
11
00
01
01
00
11
00
10
10
00
00
10
10
01
11
11
10
00
10
00
01
00
01
10
01
10
01
00
01
00
11
10
00
10
00
00
10
00
11
10
00
00
00
11
00
11
01
01
01
00
10
10
10
00
11
01
01
10
10
11
10
00
10
00
01
00
00
10
11
00
10
11
01
10
10
00
10
10
00
10
00
11
10
11
10
01
00
01
11
10
10
10
00
00
10
01
11
00
00
10
10
10
01
00
00
10
10
00
10
00
01
00
00
11
10
00
10
01
00
10
10
00
01
10
00
01
11
10
10
10
10
10
00
00
00
11
00
11
11
01
01
10
00
10
01
00
01
10
00
00
10
01
11
01
10
10
11
00
00
00
10
10
10
11
01
01
00
01
01
00
11
11
11
00
11
10
00
00
10
10
00
10
11
00
11
00
10
11
01
01
10
11
00
00
10
10
10
01
00
10
10
11
00
11
11
01
01
10
00
10
00
11
00
01
10
01
01
00
10
10
00
00
01
01
10
10
00
00
10
10
01
00
00
11
10
00
00
01
11
10
00
00
11
10
10
00
01
01
01
00
00
01
00
01
11
10
00
01
01
10
01
10
11
10
10
10
00
00
11
01
00
00
01
00
11
10
01
00
11
10
00
10
11
01
01
11
10
10
00
10
00
01
10
01
10
01
00
00
00
11
10
01
10
11
00
00
00
10
10
10
11
00
11
11
10
11
10
01
10
00
00
00
00
00
00
10
11
10
00
10
00
00
00
10
10
10
00
10
00
00
01
00
11
10
00
10
00
00
11
10
10
01
00
10
10
00
00
10
00
00
00
00
01
00
10
10
10
01
00
01
10
10
01
01
10
10
00
00
11
10
11
00
10
10
00
00
10
01
00
11
00
00
10
00
01
10
00
00
00
10
00
00
00
11
10
00
01
10
10
00
11
00
11
00
00
10
10
10
10
01
01
11
01
01
10
00
00
01
10
01
00
11
01
01
10
10
00
00
01
10
00
00
01
01
00
00
11
00
01
01
00
10
11
00
00
00
10
00
01
10
00
10
00
00
10
00
00
00
10
11
00
10
01
10
00
11
11
10
01
00
01
00
11
11
11
01
10
10
00
10
11
11
00
00
10
10
00
01
10
01
11
00
01
10
10
11
11
00
10
01
01
00
11
10
01
10
11
00
00
11
10
01
01
10
11
00
00
00
00
00
11
10
00
00
10
11
10
01
11
00
10
00
11
10
10
00
00
10
00
10
00
10
01
00
10
10
01
10
11
10
00
10
10
00
01
10
01
11
10
10
01
10
00
00
10
00
10
00
11
11
00
10
00
00
01
10
10
00
00
10
10
00
10
10
00
11
10
00
01
10
10
00
11
10
00
10
00
01
10
00
01
10
01
10
10
11
00
10
00
11
11
00
01
00
11
10
01
10
01
01
10
00
00
00
11
11
01
01
11
10
00
10
10
00
01
10
10
10
10
01
10
10
10
00
00
10
00
01
01
10
10
01
01
10
01
00
10
01
01
10
11
01
00
10
10
10
00
11
00
11
01
10
01
00
01
10
11
00
00
11
11
00
01
10
11
00
00
00
00
00
10
10
00
11
00
00
01
01
01
11
11
11
10
11
00
01
11
10
01
00
10
00
10
00
00
11
00
00
10
10
00
11
10
10
11
00
10
01
10
11
01
11
01
10
10
00
10
10
11
00
01
11
00
11
11
10
01
01
11
11
00
01
10
10
00
00
10
00
01
11
10
00
00
11
10
01
11
00
01
10
00
00
10
00
10
10
11
00
01
01
01
01
01
00
11
10
00
01
10
10
00
10
11
00
01
00
01
10
00
00
01
00
11
01
01
11
00
00
11
10
00
00
10
10
10
10
00
01
10
01
10
10
10
11
01
00
11
10
10
11
11
01
10
11
01
10
00
01
00
11
10
00
10
11
00
00
00
10
00
11
10
00
01
10
00
01
00
01
10
10
00
10
00
10
00
01
10
10
00
10
01
01
00
10
11
10
00
11
00
01
10
11
10
00
10
00
11
10
11
00
00
10
11
10
11
00
10
00
00
01
00
10
11
10
11
00
11
00
00
00
10
01
10
10
00
10
10
10
01
00
01
00
11
00
11
00
00
00
11
10
00
00
10
10
01
00
00
11
10
10
00
01
11
01
10
10
01
00
10
11
00
00
11
10
10
00
01
10
10
00
00
00
10
10
10
01
00
10
10
10
00
00
00
00
10
01
01
11
00
11
01
11
10
00
00
10
10
00
10
11
01
01
01
10
01
00
01
01
10
11
00
11
00
11
11
00
11
10
00
01
00
10
00
10
11
11
10
10
11
10
00
01
00
00
00
00
10
10
10
10
10
11
00
00
10
01
10
00
10
11
10
01
00
00
01
11
00
11
00
01
10
00
01
10
10
00
00
11
11
00
10
10
10
10
00
00
01
00
00
10
00
00
00
01
11
11
10
01
10
10
00
00
01
10
11
00
00
10
10
10
01
11
00
00
10
11
01
11
11
10
10
00
10
00
00
10
11
00
10
00
11
10
11
00
11
00
00
01
11
00
10
00
01
10
01
00
11
10
00
00
10
00
11
10
00
11
10
11
00
01
01
11
10
00
00
11
10
00
10
00
10
01
00
10
00
01
01
11
00
01
11
10
11
10
01
00
00
10
11
11
00
00
11
10
10
11
11
00
00
10
00
00
10
00
00
01
10
10
00
00
10
11
10
01
10
00
00
10
00
11
00
01
01
11
11
11
01
00
00
11
11
00
11
11
10
10
00
00
00
10
10
00
00
00
11
00
10
00
00
10
00
10
00
00
10
00
10
11
00
10
10
00
10
11
10
00
00
10
00
00
10
10
10
10
00
00
00
00
10
10
10
00
01
10
01
10
10
01
00
10
11
10
01
10
11
00
10
10
00
00
11
00
10
00
10
10
10
00
00
10
10
01
11
10
11
10
11
00
00
01
10
00
00
00
10
00
00
11
10
11
10
00
11
10
00
00
00
10
00
01
01
00
10
11
10
10
00
10
10
01
00
10
11
01
10
01
00
10
00
00
00
10
11
11
00
00
10
11
10
00
10
10
00
01
01
01
00
00
11
11
10
10
10
01
00
01
00
10
10
00
00
00
11
10
01
00
10
11
00
00
10
01
01
01
11
00
01
10
01
00
01
11
10
00
01
10
01
01
10
00
01
10
11
00
00
00
00
00
00
00
00
11
00
10
10
00
00
00
10
10
00
00
10
01
10
10
10
11
00
00
10
00
01
10
11
11
01
01
00
11
00
01
10
11
10
01
00
11
10
10
10
00
10
11
11
00
10
10
00
11
00
00
00
11
11
01
10
01
00
00
00
10
10
01
00
10
10
00
10
10
00
00
10
10
01
10
10
00
10
11
00
00
10
11
00
01
10
01
00
11
10
01
11
11
11
11
10
11
10
00
01
11
11
00
01
10
11
00
10
10
11
11
01
00
11
00
11
11
00
00
10
00
00
10
10
10
00
10
10
10
01
01
00
00
00
10
11
00
10
01
00
10
11
01
00
01
00
11
01
01
11
11
00
00
10
00
01
10
10
11
10
00
00
01
00
11
00
01
00
10
10
00
00
11
00
01
00
10
10
10
00
01
10
11
01
10
00
01
11
01
11
00
10
01
00
01
10
10
00
01
10
00
10
10
11
10
10
11
00
01
00
11
10
00
10
11
10
00
00
10
00
01
00
00
01
10
01
10
11
00
00
10
10
00
01
01
10
11
00
00
10
11
01
00
00
01
11
01
10
10
00
11
11
00
00
11
11
00
10
10
00
01
01
00
10
00
00
10
11
01
00
10
10
00
00
10
00
00
00
00
10
00
00
00
11
11
01
01
00
10
11
01
00
00
10
10
11
01
10
10
01
00
10
01
00
10
11
00
10
10
01
00
00
11
00
00
00
10
11
11
01
00
00
10
01
01
01
11
10
11
01
11
10
00
00
10
10
00
10
10
10
10
00
00
01
00
10
00
10
01
00
11
11
10
00
10
01
11
10
01
01
01
11
10
01
10
10
00
01
10
10
00
10
01
00
00
00
01
10
11
10
00
00
10
10
10
10
00
10
11
10
10
00
11
10
01
00
10
10
01
00
00
10
11
10
01
00
10
10
00
01
11
01
00
01
10
11
00
10
11
01
11
10
10
10
00
00
00
10
10
10
00
01
00
10
01
10
11
01
00
10
00
01
01
10
10
10
00
00
10
10
00
01
10
00
00
00
11
01
10
10
00
01
00
01
00
10
10
10
00
11
00
00
10
01
10
00
00
11
10
01
01
10
10
11
11
10
01
01
10
11
01
01
11
10
00
10
00
00
10
11
00
00
00
10
11
01
10
01
10
11
10
00
00
10
00
00
10
10
00
11
00
10
10
00
00
10
11
00
01
00
00
10
10
11
00
00
11
00
10
01
11
10
11
00
01
00
01
00
01
10
10
10
01
10
11
10
10
00
00
00
10
01
00
11
10
11
10
00
01
00
11
10
00
10
10
10
01
10
10
11
00
00
00
10
11
11
00
00
01
10
01
11
00
10
11
01
11
10
00
00
10
01
10
11
00
10
01
01
00
10
10
01
10
11
10
11
10
10
10
00
00
10
00
10
10
11
10
10
01
10
11
00
01
10
10
10
00
10
10
11
00
11
11
10
00
10
11
00
10
10
00
00
00
10
00
10
11
00
10
10
10
00
00
11
11
01
10
00
00
10
11
00
01
01
00
01
00
11
10
00
01
01
10
11
10
01
01
10
10
00
00
10
00
00
00
10
10
10
11
01
10
00
11
00
00
10
10
11
00
01
11
00
11
11
01
10
11
00
11
10
00
01
10
00
11
10
00
11
10
11
10
00
00
10
10
01
00
01
00
11
10
01
00
11
10
00
00
10
10
00
00
10
00
10
10
00
10
00
10
10
01
00
11
00
01
10
00
10
10
10
01
00
11
01
01
11
11
01
11
10
01
10
10
00
00
11
10
00
10
10
00
00
01
11
11
00
10
01
11
11
10
11
01
11
10
10
10
01
00
01
10
10
10
00
00
01
00
01
01
10
11
00
00
11
10
10
00
01
10
10
00
00
00
00
10
10
11
00
10
11
00
10
10
10
00
00
10
01
11
10
10
01
01
11
00
01
10
10
00
10
00
00
10
11
00
01
10
10
10
00
11
10
00
01
01
10
10
00
10
00
11
10
10
01
10
01
01
00
00
00
10
10
10
10
01
00
00
00
01
01
10
01
01
01
00
00
11
01
11
11
00
11
00
00
00
00
00
10
00
00
00
11
00
10
11
00
00
10
10
00
10
10
00
10
00
00
00
00
10
11
01
10
10
10
10
11
00
11
00
00
01
00
10
00
10
10
00
01
10
01
00
01
10
10
11
10
10
10
00
01
00
01
00
00
10
10
10
10
01
10
01
10
00
01
10
10
11
11
00
01
10
00
00
11
10
11
11
01
00
00
00
10
11
00
01
11
01
10
00
10
10
01
00
00
10
10
10
00
01
10
01
00
10
01
11
01
00
10
10
00
01
11
10
00
00
10
11
10
00
00
00
10
01
10
00
00
10
10
10
00
00
00
00
01
10
10
00
00
10
01
11
11
00
11
10
10
10
10
00
01
00
10
11
00
00
00
10
10
00
00
10
11
11
10
01
01
01
10
00
10
10
11
01
01
10
11
01
11
11
00
11
10
00
00
10
11
01
11
11
01
01
00
00
10
00
00
10
10
01
10
10
01
10
00
11
11
00
11
00
10
01
00
10
11
00
01
00
01
10
00
01
10
00
01
01
11
10
01
00
00
11
00
10
10
01
00
01
10
11
10
01
01
00
10
10
10
00
01
10
01
01
00
11
00
01
11
01
10
11
00
01
10
10
00
00
11
10
00
00
10
01
00
10
10
00
10
11
11
00
00
00
10
01
10
10
00
10
10
10
10
00
00
01
11
10
00
10
11
00
10
00
00
11
10
00
00
11
11
10
00
10
01
00
00
10
10
10
00
10
01
00
10
01
11
11
00
01
00
10
10
10
00
00
10
00
10
10
00
00
00
10
10
01
10
10
10
01
00
11
00
10
10
01
10
00
00
10
10
01
01
11
00
11
00
11
10
00
01
10
10
01
10
10
00
11
00
00
10
01
10
00
00
10
10
10
10
01
10
10
10
10
11
11
00
11
10
00
00
01
10
10
10
00
10
11
00
01
01
10
10
01
10
10
11
11
11
10
00
00
11
10
10
00
00
10
00
11
11
10
00
10
00
01
00
10
11
10
00
01
01
00
11
01
10
00
10
10
00
00
10
00
01
11
00
10
10
10
11
10
01
11
11
00
11
10
00
01
10
10
01
00
11
10
00
00
10
10
10
01
11
01
01
10
10
10
01
10
00
00
00
00
11
01
10
00
01
10
11
10
00
00
10
10
10
01
00
00
11
00
10
00
11
10
11
10
00
00
01
10
11
10
11
10
01
00
01
00
11
00
01
00
10
00
00
00
11
10
01
00
00
10
10
00
10
10
01
00
10
11
10
11
10
00
10
00
00
10
00
11
11
01
10
00
11
10
01
00
10
00
00
00
10
10
01
10
10
10
10
11
00
11
10
10
00
01
10
10
10
00
01
10
01
11
11
01
01
10
11
10
00
00
11
00
01
10
11
10
10
10
00
01
00
10
01
10
11
10
10
01
00
11
00
10
10
01
10
00
10
10
00
11
01
00
10
11
10
10
00
10
11
00
10
01
10
11
10
01
01
01
00
10
10
01
10
00
01
00
00
11
10
01
00
11
10
00
10
10
10
00
11
10
00
00
01
00
00
00
00
10
10
01
10
00
00
10
10
00
00
10
11
00
10
01
10
11
11
00
00
10
11
00
00
10
10
00
00
11
01
10
00
01
10
10
00
01
00
10
11
10
00
10
01
00
11
10
11
11
11
10
10
11
00
10
00
01
11
10
00
10
00
10
00
10
11
00
11
00
11
10
11
01
11
11
00
00
10
01
01
00
11
01
10
01
00
10
10
10
00
00
10
10
00
01
10
10
01
10
10
10
10
00
11
00
00
00
01
00
11
00
00
11
11
00
10
10
01
00
10
10
10
00
00
01
10
00
10
10
01
10
10
10
00
11
01
00
00
01
10
00
00
10
11
01
00
10
01
01
10
11
00
00
01
00
11
11
00
10
00
01
10
01
00
11
00
10
01
10
10
10
10
00
01
10
00
01
10
11
00
01
01
01
11
10
10
00
00
00
00
10
11
01
10
00
00
10
01
10
10
10
10
00
01
11
10
01
00
10
00
11
01
00
10
11
00
11
11
00
00
11
01
10
00
00
11
10
10
10
00
00
00
10
11
10
01
10
10
10
00
10
00
00
10
00
10
10
01
11
00
10
10
10
11
10
10
01
01
01
01
10
10
00
00
01
10
10
00
10
00
10
10
01
01
00
10
10
10
00
11
10
10
01
11
00
11
01
11
10
00
11
00
10
10
10
01
00
10
01
10
00
11
11
00
00
11
01
01
10
10
10
11
10
00
00
00
10
01
10
10
00
10
00
01
11
00
00
10
10
00
11
10
01
10
10
01
00
10
10
00
00
01
10
10
11
01
00
00
10
00
01
10
11
00
00
00
01
10
10
10
00
11
00
10
11
01
01
10
10
00
01
10
01
11
00
10
10
11
01
01
10
11
00
00
01
00
00
11
00
11
00
00
01
10
10
00
10
11
10
00
10
10
00
10
11
00
00
10
10
10
11
11
01
00
10
01
01
00
00
10
10
11
11
01
00
10
11
11
00
00
10
10
11
00
10
00
00
00
00
01
00
10
00
00
01
00
11
10
10
10
01
00
10
11
01
00
10
00
11
10
10
00
00
10
10
00
01
10
11
00
10
10
10
01
00
01
00
01
00
10
00
00
01
11
01
00
10
11
10
10
00
10
10
00
00
10
00
00
10
00
00
01
10
11
01
11
00
11
00
00
11
00
01
11
10
00
00
10
00
01
00
10
10
00
00
00
01
10
00
00
00
11
10
00
00
11
00
10
11
00
00
00
10
10
10
10
10
01
10
00
10
00
01
11
11
10
10
10
00
00
00
10
00
00
10
00
11
00
10
00
00
11
10
10
00
11
10
11
01
00
00
00
11
00
10
00
00
10
10
01
10
11
00
10
11
01
10
00
00
01
10
10
01
10
11
00
00
10
10
01
10
10
00
01
10
01
01
00
00
10
00
11
00
11
10
00
00
01
01
11
10
00
01
10
10
11
01
00
10
11
00
11
10
00
11
00
11
11
01
00
00
00
10
00
10
11
11
00
00
10
01
10
00
01
01
10
10
10
00
01
10
00
00
10
11
01
01
01
11
00
00
00
10
11
00
00
10
00
00
00
10
10
10
01
10
10
10
10
00
11
00
10
10
11
11
00
10
00
01
00
01
00
01
10
01
10
10
10
10
10
00
00
11
11
01
11
01
10
00
00
00
10
11
00
01
10
00
10
10
10
01
00
10
10
00
01
00
10
10
10
01
10
01
11
00
11
01
00
11
00
00
10
10
00
00
01
10
00
11
10
11
00
10
11
00
10
01
01
10
00
01
10
11
00
00
11
10
00
01
10
10
10
00
10
10
00
00
10
11
01
00
11
11
00
01
11
11
00
00
10
10
11
00
00
11
00
10
00
10
10
11
10
00
00
10
00
11
10
10
10
00
10
10
00
00
00
10
00
10
00
01
10
01
10
00
01
00
00
10
00
00
10
00
10
10
00
11
11
11
00
01
00
01
00
01
10
10
10
00
10
11
01
10
11
01
11
10
00
01
00
01
10
10
00
01
10
00
01
11
00
01
10
11
00
00
11
11
10
00
00
10
00
00
10
01
01
10
00
11
10
10
00
00
00
11
10
00
01
10
11
00
10
10
00
00
10
00
00
00
00
00
11
10
11
10
00
01
10
10
10
11
00
00
00
11
00
00
11
00
01
10
11
10
11
00
11
00
11
01
01
01
11
00
00
01
10
10
00
11
11
00
10
00
00
01
10
10
10
10
00
10
10
01
11
11
00
11
00
10
10
00
00
10
10
01
10
11
11
10
00
01
10
10
00
11
00
01
00
11
10
00
11
11
00
01
00
00
10
00
10
00
10
10
10
10
00
00
10
00
10
10
10
01
00
10
00
11
00
10
10
01
00
10
00
01
00
10
00
11
00
11
11
01
10
00
10
10
10
11
00
00
00
10
10
00
10
10
11
00
11
00
10
00
11
11
10
10
00
11
11
00
00
11
10
10
11
11
11
01
01
00
10
10
11
11
01
00
10
00
10
00
10
11
00
00
00
00
10
00
00
11
10
10
00
00
11
00
10
00
01
00
10
01
00
10
00
00
10
10
01
01
00
00
10
10
01
00
00
11
10
00
00
10
01
10
01
00
00
10
11
10
10
11
01
00
10
10
00
10
00
01
10
10
01
01
11
11
00
10
01
11
11
01
00
01
11
10
10
00
00
11
00
00
11
10
11
10
10
00
00
00
10
10
00
00
01
00
10
10
10
10
00
10
11
10
11
01
01
11
10
10
10
01
00
10
11
00
10
11
11
01
00
10
10
10
00
01
10
10
01
00
11
01
10
00
01
10
01
10
10
11
00
00
10
10
01
01
10
10
11
10
00
00
00
00
00
00
00
11
00
11
10
00
00
10
10
00
00
11
01
01
00
11
11
11
00
01
10
10
10
10
01
10
00
10
01
01
10
00
10
00
10
01
10
10
01
10
10
11
00
11
00
10
00
10
11
01
00
11
01
01
10
10
10
00
00
00
11
10
01
00
00
11
11
00
00
00
11
00
00
10
11
10
00
01
00
11
01
10
00
00
10
10
00
10
00
00
10
00
11
01
10
10
01
00
01
01
00
01
01
01
00
01
00
11
11
00
00
10
11
11
10
01
01
00
11
00
00
10
10
00
10
10
01
10
10
00
00
00
01
11
10
00
00
00
10
10
10
10
10
00
00
11
00
00
00
00
00
00
11
01
10
10
00
01
00
11
01
11
00
00
10
10
10
00
01
10
10
01
00
11
10
10
01
00
00
01
11
10
11
11
10
10
01
01
00
01
11
00
00
00
01
00
01
10
11
00
10
11
10
01
00
01
10
00
01
00
11
10
00
10
01
01
10
11
00
10
10
00
01
00
10
10
00
00
00
10
10
11
11
10
01
10
10
10
00
01
11
10
00
11
10
11
00
00
10
01
00
10
00
01
11
00
00
10
00
01
00
10
10
01
01
11
10
01
11
10
01
11
10
00
01
10
10
01
00
11
01
00
00
10
10
10
00
00
10
00
01
01
10
00
00
10
10
00
01
10
00
00
10
11
11
11
11
11
00
00
11
01
01
01
10
10
10
11
11
11
10
00
10
01
10
00
00
11
10
00
10
11
00
11
10
00
00
00
00
10
11
01
01
11
10
10
11
00
11
11
10
11
00
01
10
10
00
00
00
11
00
00
00
10
10
01
11
00
10
10
11
00
10
00
00
11
10
11
00
11
11
01
10
10
00
01
00
11
10
00
00
00
10
00
11
11
10
10
11
00
11
00
00
11
10
10
10
00
01
01
10
00
00
10
10
11
10
01
00
00
11
00
01
00
00
10
10
00
00
00
10
11
00
01
10
11
00
00
01
10
10
00
10
10
10
01
10
10
10
11
10
00
00
00
01
10
00
11
00
10
00
10
10
00
00
00
10
00
01
01
00
01
11
10
10
00
01
01
10
10
11
01
00
11
00
10
10
11
11
01
01
00
01
00
11
11
10
00
00
01
00
01
11
01
10
01
10
10
00
01
10
11
10
00
01
11
10
11
10
01
10
00
10
10
00
01
01
11
11
10
00
00
00
10
01
00
11
10
00
00
10
11
01
00
00
10
11
11
10
00
00
10
01
10
01
00
00
10
11
00
01
10
10
00
10
00
11
01
00
00
00
10
01
10
00
11
10
11
10
01
00
10
11
10
10
01
00
00
10
00
01
10
10
01
10
10
00
01
00
11
11
00
01
10
10
11
11
00
00
10
11
11
11
00
00
11
10
10
11
11
10
00
00
00
01
00
00
10
01
00
00
10
10
11
01
10
11
11
00
00
10
00
00
10
10
00
00
11
10
01
10
10
00
10
00
01
10
11
00
00
10
10
00
11
11
00
00
01
10
00
10
10
10
00
01
00
00
11
00
00
00
00
11
10
11
00
01
11
11
10
00
10
10
01
11
00
00
10
00
01
10
11
11
10
00
10
00
00
00
00
10
00
11
00
00
10
00
10
10
10
10
00
00
10
00
01
10
00
10
10
11
10
00
11
10
01
00
00
11
10
10
00
11
10
00
00
11
01
01
00
11
11
01
10
01
00
10
00
11
11
10
00
01
01
10
11
01
01
11
00
10
10
10
00
00
10
10
10
10
10
00
01
00
10
00
00
00
00
10
01
00
01
00
01
11
00
10
10
01
01
01
10
00
10
10
00
01
10
11
00
10
00
00
10
10
10
00
10
00
10
01
00
00
10
10
01
01
11
10
01
11
00
00
00
00
11
01
11
00
10
00
00
11
00
10
10
11
00
10
00
00
11
10
10
00
10
10
00
10
10
00
00
00
00
00
10
11
10
10
00
11
00
10
10
01
11
00
00
10
01
01
11
11
10
00
00
11
00
01
10
11
11
00
11
00
00
10
00
00
10
10
00
10
01
01
10
11
00
01
00
10
00
00
11
00
00
11
11
00
11
10
00
01
01
11
00
01
10
00
01
10
01
01
11
10
10
11
00
00
11
10
11
00
11
11
00
11
00
01
10
10
00
11
10
00
01
11
00
01
10
00
00
00
11
10
10
00
01
10
00
00
10
10
01
10
00
11
01
00
00
00
10
10
10
10
00
01
11
10
10
10
00
11
10
00
11
00
01
10
00
10
00
00
01
10
10
10
11
10
10
11
00
10
11
00
00
10
10
10
00
11
10
00
10
00
01
00
00
00
10
00
01
00
10
10
00
01
00
00
11
11
01
00
10
10
00
00
00
11
10
01
10
00
10
00
10
00
10
11
00
10
00
00
10
01
11
10
01
00
10
00
10
11
01
01
00
01
11
01
10
11
10
00
10
10
10
01
10
11
00
11
11
00
00
01
01
10
00
10
10
01
00
00
10
01
10
00
00
00
00
10
01
10
01
10
00
11
10
10
11
01
00
00
11
10
00
00
10
10
10
00
00
11
10
10
00
01
10
00
10
10
00
10
00
00
00
11
00
11
10
10
00
00
01
01
10
10
10
10
00
01
00
00
00
11
00
01
00
10
10
01
10
10
00
00
10
00
11
10
11
00
00
00
10
01
00
11
00
10
01
00
10
10
10
01
10
01
10
10
00
11
10
00
00
10
11
11
10
11
10
00
01
01
11
00
10
10
00
10
11
10
01
10
10
00
00
00
00
00
11
11
01
01
00
10
10
10
00
10
10
00
00
10
10
11
11
00
01
01
10
10
10
10
10
00
00
01
10
11
10
01
00
11
00
10
10
00
00
10
11
00
10
10
00
11
00
01
11
00
00
00
01
00
11
10
11
10
01
00
10
00
00
00
00
11
11
11
00
00
11
11
10
01
01
00
11
11
00
01
00
10
11
00
00
10
00
01
01
11
10
01
10
10
11
10
10
00
10
00
11
11
01
10
00
00
00
10
10
11
01
00
11
01
00
11
01
01
01
10
11
00
00
10
10
01
10
00
00
10
10
10
10
01
00
10
10
11
11
10
11
10
00
00
10
00
10
00
01
10
10
00
10
11
00
11
00
00
10
00
01
00
00
00
00
10
00
10
10
00
00
10
10
10
11
01
00
10
00
10
00
11
01
00
10
11
00
00
11
11
10
00
10
11
00
00
10
11
00
00
00
00
11
01
10
11
01
01
01
00
00
10
00
01
11
10
11
11
01
01
10
11
00
10
01
00
00
00
10
10
11
10
10
11
01
00
00
00
01
10
00
11
01
01
01
10
00
00
00
11
00
00
11
01
10
10
00
10
01
01
00
00
00
10
10
10
00
00
10
10
11
11
10
10
01
11
10
11
10
11
00
11
01
00
10
10
11
00
10
00
01
10
00
10
10
11
11
01
10
10
00
10
11
00
00
11
01
00
10
10
10
10
01
01
10
00
01
10
00
10
00
10
10
10
00
00
10
00
00
00
11
10
10
01
01
00
01
00
10
10
00
01
10
10
01
10
11
11
11
10
01
01
00
11
10
00
00
10
11
00
00
10
00
00
00
10
11
00
11
10
00
00
10
01
00
11
01
01
11
01
11
00
01
10
11
00
00
10
00
00
10
00
10
01
00
00
01
10
01
11
00
00
00
11
00
00
00
01
10
01
10
11
00
00
00
00
10
10
00
00
10
11
00
11
10
00
01
01
10
01
00
11
10
10
11
01
01
00
10
10
10
00
00
10
11
10
00
10
00
00
11
00
11
10
10
00
01
01
10
01
01
11
10
00
00
00
11
10
10
01
00
00
11
01
00
00
10
10
00
10
11
10
00
10
00
00
10
01
01
01
10
10
10
01
11
10
00
10
00
11
00
00
00
10
10
01
11
11
00
00
01
10
00
01
10
10
01
00
10
10
10
10
00
11
10
00
11
10
11
11
00
00
10
10
10
01
00
11
01
10
00
10
00
01
10
00
10
01
00
11
10
00
10
10
00
10
01
00
10
01
11
10
10
01
01
10
11
10
00
10
00
01
00
01
10
00
00
10
00
10
10
00
00
11
10
00
10
00
11
10
01
00
00
10
10
01
01
00
10
10
11
00
11
10
10
00
00
10
00
01
10
10
10
10
10
00
11
00
10
11
10
11
11
10
01
11
00
00
11
10
00
00
10
00
10
10
01
01
10
01
10
11
11
01
00
00
10
10
10
01
11
11
00
01
11
00
11
00
00
10
01
01
01
10
10
11
01
01
00
10
10
10
10
01
10
10
11
11
01
10
01
00
10
10
10
01
01
10
10
10
10
00
01
11
10
11
10
10
00
10
00
10
10
01
00
10
00
00
10
00
00
00
10
01
00
10
00
10
00
00
10
11
01
00
11
00
00
00
00
11
00
00
10
01
10
11
00
01
00
00
10
00
00
11
10
00
00
10
10
00
01
11
10
10
10
10
01
10
11
00
00
10
00
11
10
01
01
11
01
11
11
10
01
00
10
11
01
10
00
00
10
00
00
11
10
01
10
10
11
00
01
01
00
10
10
00
10
00
00
00
00
10
10
10
00
10
00
10
01
00
00
00
10
11
11
00
10
00
11
00
10
10
00
01
00
11
10
10
10
01
00
00
00
10
00
11
00
11
00
00
10
01
01
11
10
10
00
11
10
01
00
00
10
01
01
11
10
10
11
10
01
00
10
10
10
11
00
10
00
01
10
00
01
11
11
00
00
10
01
01
10
11
01
00
10
10
00
00
10
10
11
11
00
00
00
01
01
10
11
00
11
01
00
00
10
00
00
11
11
00
01
10
10
00
00
10
10
01
01
10
00
00
01
01
10
10
01
00
00
00
11
10
00
01
10
00
10
01
11
00
01
01
01
00
00
10
00
01
11
00
01
11
10
10
10
11
10
10
00
01
10
00
10
11
00
10
00
01
11
00
11
10
11
01
10
00
10
10
11
01
00
11
00
00
11
01
00
10
10
00
10
10
00
00
00
10
11
10
00
00
11
00
10
10
00
00
00
10
00
10
10
10
00
01
01
10
11
00
11
01
10
10
00
10
10
00
00
10
10
10
11
10
10
00
01
10
11
10
00
00
00
00
10
01
11
11
00
01
10
00
10
11
01
01
10
00
01
10
00
11
10
00
00
11
10
00
00
00
10
00
10
00
00
11
00
00
00
10
10
01
01
11
11
01
00
11
01
10
11
00
00
10
10
10
11
01
10
00
01
00
01
10
01
00
00
11
11
11
00
10
10
00
10
10
00
00
11
10
10
10
01
11
00
00
11
10
11
10
01
00
00
11
10
00
00
10
00
00
10
00
10
10
10
10
00
10
10
00
10
11
10
10
00
01
00
01
01
00
10
10
10
00
00
11
00
00
11
00
01
01
00
10
10
00
11
00
01
01
00
10
00
01
10
10
00
10
11
10
10
01
01
11
01
10
10
00
00
00
10
11
00
01
10
11
00
00
00
11
00
10
11
00
10
10
10
01
11
10
00
01
10
10
10
11
01
10
01
00
10
11
10
00
11
00
00
01
10
10
10
00
00
00
10
00
00
10
10
00
10
01
01
10
11
00
10
11
00
00
01
11
11
11
11
00
00
00
11
10
10
01
01
10
10
01
00
00
01
10
10
00
01
11
00
00
10
10
11
01
00
00
11
10
00
11
10
01
01
00
11
00
11
01
00
11
00
00
10
01
00
01
10
10
00
00
10
10
10
01
10
00
10
10
00
00
00
01
10
00
10
01
00
10
10
00
00
10
00
00
10
10
00
00
10
10
10
10
00
01
00
11
11
00
10
01
11
00
10
11
10
00
10
01
00
10
01
11
10
00
00
10
01
10
11
00
00
11
10
01
11
10
00
10
01
00
00
11
11
10
01
01
00
01
10
11
00
11
10
01
01
00
10
10
10
00
10
11
10
00
00
10
10
00
00
10
10
01
11
11
00
11
10
11
11
11
10
01
00
11
00
00
10
11
00
01
00
10
11
00
00
00
01
11
11
10
10
11
00
10
10
10
00
01
11
11
10
00
00
10
00
00
10
01
10
00
00
11
10
01
10
00
10
10
11
01
11
10
10
00
01
10
00
00
10
10
01
10
00
10
01
01
10
10
10
10
00
10
00
11
00
00
00
00
00
10
00
10
00
10
00
10
10
11
10
00
01
11
10
10
00
11
10
00
10
00
11
01
10
11
01
00
10
00
00
00
10
10
00
01
10
11
01
00
10
00
00
00
01
10
10
00
11
01
01
10
10
00
10
00
00
10
00
10
00
01
00
00
10
10
10
11
10
11
10
10
01
00
00
00
11
10
10
01
00
00
10
11
10
11
10
00
10
10
01
10
00
01
10
10
01
00
00
00
10
10
10
10
00
00
01
10
00
01
10
10
00
10
10
01
00
01
11
01
11
00
10
00
00
11
00
00
10
01
00
00
10
10
01
01
11
11
10
10
00
11
00
01
01
10
11
00
10
10
10
00
00
01
10
00
01
10
11
01
11
00
10
10
11
00
10
00
00
10
00
00
01
00
00
01
10
10
10
10
10
10
00
10
00
01
11
00
11
00
01
11
10
00
00
10
10
10
00
01
10
01
00
10
11
00
10
10
00
01
10
10
01
11
11
00
10
10
10
01
10
11
00
00
00
00
10
10
10
00
01
10
01
10
10
11
11
01
01
00
10
11
00
10
01
00
10
11
00
00
00
00
00
01
10
10
01
00
10
01
00
10
10
10
01
10
11
00
10
01
10
11
10
10
01
00
10
10
00
00
01
11
11
10
01
01
01
10
10
11
00
01
11
10
01
00
00
00
10
10
00
10
11
00
01
11
11
00
01
10
11
01
11
10
00
00
01
01
10
00
00
01
10
01
10
10
10
00
11
10
01
01
00
00
00
11
01
01
00
00
10
10
10
00
00
11
10
11
11
11
00
10
10
00
00
10
00
00
10
10
00
00
10
11
00
11
00
11
10
00
10
10
00
00
00
11
00
10
10
01
00
11
10
00
11
10
00
00
10
00
10
10
10
10
00
10
10
01
11
11
00
11
01
01
01
10
10
01
00
10
10
00
10
11
00
00
10
10
00
10
11
10
00
10
10
01
10
01
01
01
01
10
11
00
00
00
10
10
01
00
00
11
00
11
00
00
01
10
01
10
10
00
10
10
11
11
00
11
10
11
00
10
00
00
10
11
11
00
00
00
01
10
11
00
00
10
00
01
10
11
10
00
00
00
11
00
00
11
00
01
10
10
10
00
01
10
01
10
10
10
11
01
11
00
10
11
10
10
00
11
10
00
00
00
11
11
00
10
00
11
00
11
00
10
10
00
11
01
00
10
00
10
01
11
10
00
00
10
00
10
00
10
10
10
00
10
00
01
00
11
10
10
00
00
10
00
00
01
10
10
10
10
01
00
10
11
00
10
00
00
11
11
00
10
11
00
10
00
00
11
00
10
10
01
00
11
00
00
00
00
01
10
10
01
10
11
11
01
00
10
11
10
10
01
10
00
00
10
10
01
00
10
00
01
10
00
10
00
10
10
00
10
00
00
11
10
10
10
01
00
10
10
00
00
10
10
10
10
10
10
10
11
00
00
10
00
11
01
10
01
10
10
00
10
10
10
00
00
00
10
10
10
01
11
11
01
00
00
00
10
01
00
10
11
10
01
10
00
10
01
00
11
00
00
11
00
10
01
10
10
10
00
01
01
10
10
01
00
00
11
11
01
10
01
00
00
10
10
11
00
10
11
01
11
10
00
01
00
11
00
10
10
00
00
00
11
10
00
00
00
10
01
11
01
11
10
00
00
11
11
11
00
00
00
01
10
00
00
00
10
00
00
11
10
00
11
01
00
00
01
10
00
00
10
01
00
00
00
01
01
00
00
00
11
00
01
10
11
11
01
10
00
01
11
01
00
10
00
01
10
11
10
10
10
01
10
01
00
10
01
00
01
10
00
00
00
11
00
00
11
00
00
10
00
11
10
00
11
11
00
01
00
01
00
11
00
11
10
00
01
11
11
00
10
11
01
10
11
01
01
10
10
01
10
10
00
00
00
10
10
01
01
11
00
11
00
01
00
11
10
00
00
10
11
01
10
10
10
00
01
00
01
10
10
00
11
10
10
11
01
00
10
10
00
00
00
00
10
11
11
00
00
00
00
10
10
00
11
10
10
00
00
10
00
00
10
11
01
00
11
00
00
10
10
01
00
00
10
11
00
00
00
10
11
10
00
01
10
00
11
11
00
00
01
10
01
10
10
01
10
11
01
01
11
11
10
00
10
11
00
01
10
01
10
10
10
10
01
00
11
11
10
01
10
10
10
10
00
10
00
10
10
00
10
11
10
00
11
00
00
10
00
11
10
00
00
01
00
10
11
10
00
11
01
00
10
11
10
10
01
00
01
00
10
10
11
10
01
00
11
01
00
01
10
00
10
11
01
10
10
01
00
10
00
01
11
00
11
11
00
00
01
00
10
11
00
00
11
10
11
10
10
11
00
10
10
00
10
00
01
10
10
01
10
11
10
00
00
10
00
00
10
11
11
11
10
10
00
00
00
10
01
11
11
10
01
10
10
10
00
01
10
11
11
00
10
11
10
00
10
11
10
00
00
11
10
00
00
10
00
10
10
00
00
01
00
01
00
00
10
10
00
01
00
00
00
10
00
10
11
10
01
00
10
01
11
10
00
11
10
01
11
01
00
10
00
00
10
10
10
10
11
00
01
01
00
00
10
11
10
01
00
00
00
10
11
00
01
10
10
00
10
01
10
10
00
10
10
00
10
10
10
11
10
00
11
00
11
00
11
11
10
11
00
10
11
00
11
10
10
01
01
10
00
00
10
00
11
00
11
01
00
10
11
11
00
00
10
11
10
11
11
00
00
11
00
01
00
10
11
00
01
10
10
00
10
10
10
10
10
01
01
00
10
10
11
01
00
00
10
11
11
01
01
01
11
01
11
11
10
00
00
10
10
00
00
10
10
00
10
01
11
10
11
00
10
10
10
01
10
11
00
10
10
00
11
00
11
11
10
01
11
11
00
00
10
01
10
01
00
11
10
10
00
00
10
10
10
10
00
01
10
00
11
01
01
10
00
00
10
10
00
10
11
11
10
00
00
10
01
01
00
00
10
00
00
00
01
11
01
10
01
11
10
00
10
00
10
01
10
01
11
11
00
00
01
11
10
00
00
10
10
00
10
11
00
11
00
10
11
00
00
10
01
00
00
10
01
10
10
00
01
00
10
00
00
10
10
10
00
00
01
01
00
10
01
00
01
11
11
00
11
00
10
00
00
10
10
10
01
10
01
10
01
10
01
01
10
00
00
00
10
00
00
01
00
10
00
00
11
11
11
00
00
10
01
11
11
11
01
00
10
10
00
11
10
11
00
00
10
00
00
00
10
11
10
11
10
11
10
00
11
00
01
11
10
10
10
00
01
11
10
10
00
00
00
00
10
10
00
00
01
11
11
11
11
01
10
11
00
00
10
10
00
10
10
00
01
10
00
00
10
10
01
00
10
10
01
00
10
00
00
10
10
10
00
00
10
00
00
10
11
10
00
00
01
10
00
00
10
00
00
00
00
00
11
11
00
00
10
00
11
10
00
10
11
10
10
00
10
00
11
11
01
00
11
00
01
00
00
11
11
11
00
10
00
11
00
01
01
10
10
10
00
00
00
11
10
11
00
00
11
11
01
10
11
01
10
10
10
00
10
00
00
10
10
10
10
10
10
00
01
10
00
00
11
00
10
01
10
01
00
10
10
11
01
00
01
10
10
10
11
00
01
10
10
00
00
10
00
00
10
10
01
10
00
00
01
01
11
10
00
11
00
00
00
10
11
01
01
11
00
00
10
00
01
00
11
10
00
10
10
10
00
00
11
00
01
01
10
10
00
00
10
00
01
10
01
00
10
00
10
00
00
00
10
10
11
01
10
00
00
00
00
00
11
01
00
01
01
00
10
10
11
01
00
10
11
10
10
01
11
00
10
00
00
11
11
11
10
00
00
01
10
11
01
00
10
10
11
10
00
00
11
10
00
10
01
10
00
00
10
00
10
00
10
01
11
11
00
11
10
11
00
00
10
10
00
00
10
10
00
01
10
00
00
01
11
10
00
11
00
11
11
01
10
10
00
10
10
00
10
10
00
11
10
01
00
10
10
00
10
10
00
01
00
10
11
00
00
10
11
01
10
10
10
10
00
11
10
01
10
11
11
01
10
10
11
00
00
10
01
01
10
00
11
11
11
11
00
01
10
11
00
00
11
11
10
11
11
11
11
11
00
00
10
10
11
00
01
10
10
01
01
00
01
11
01
10
00
11
10
00
01
11
10
10
00
10
10
10
11
11
01
00
10
10
10
01
00
00
10
00
01
00
10
10
00
10
11
00
11
10
00
01
00
01
10
10
00
10
10
00
00
11
00
00
10
10
01
00
00
10
11
01
10
11
10
01
01
00
10
11
00
00
01
10
10
11
00
00
01
10
00
01
11
00
00
10
10
10
10
11
10
10
00
00
00
10
10
10
10
00
00
10
00
00
10
11
01
00
10
00
00
10
00
00
10
01
00
10
00
01
10
10
00
10
10
00
00
11
11
00
10
11
00
11
10
00
00
00
11
11
00
00
00
10
01
00
10
11
00
01
10
10
00
00
00
01
10
11
10
01
11
00
10
11
11
10
01
01
00
11
10
11
11
00
00
10
00
00
01
01
00
10
10
10
10
00
00
10
00
01
10
11
00
11
10
11
10
00
10
00
01
10
10
00
00
11
10
10
00
00
11
00
10
00
10
00
10
10
00
11
10
00
00
01
10
00
11
00
01
10
11
11
00
00
10
10
00
10
00
00
10
10
11
10
00
11
10
10
10
10
10
10
00
00
00
11
10
00
10
11
00
01
01
10
10
00
01
10
00
10
10
00
00
00
11
00
00
10
11
11
00
00
10
11
00
11
01
10
00
11
01
00
11
00
10
00
10
11
10
00
10
00
10
00
10
11
01
00
00
11
01
00
00
10
10
10
01
11
00
00
10
01
11
10
01
00
00
10
00
00
10
10
00
00
11
01
00
11
00
01
11
10
00
11
10
11
11
00
00
10
01
10
00
00
10
00
01
10
10
11
10
01
00
10
00
10
00
11
11
00
10
10
10
00
10
10
01
00
10
01
10
10
01
10
01
00
10
10
01
00
01
10
10
10
01
11
00
10
10
10
10
10
11
11
01
00
00
00
00
11
11
00
01
00
10
10
11
11
10
00
00
01
10
00
10
10
00
00
00
11
10
00
11
10
10
10
00
10
10
00
00
10
01
00
10
11
00
00
10
01
10
10
01
00
00
01
10
00
11
10
10
10
11
00
11
10
00
00
00
10
10
10
00
10
10
11
00
01
10
11
00
00
11
01
11
00
10
00
11
11
10
11
00
00
10
01
10
11
00
01
10
11
00
01
10
11
10
01
10
11
00
10
10
10
00
00
10
11
11
00
11
01
10
01
00
10
10
00
01
11
01
00
10
00
10
10
01
00
11
10
01
11
11
01
00
00
01
10
10
00
10
10
11
11
01
11
11
10
00
00
11
11
01
10
10
10
01
00
10
00
00
10
10
10
10
10
00
00
10
00
00
01
11
10
10
00
01
10
00
10
10
00
01
00
00
10
10
00
10
00
10
01
00
00
10
10
10
01
10
10
00
00
10
11
10
01
00
11
10
10
01
10
11
01
10
11
00
00
01
01
10
00
10
10
10
00
00
11
11
01
01
00
10
11
10
10
11
00
00
10
10
11
10
01
01
01
00
10
01
10
10
10
00
00
10
10
11
00
10
00
00
10
10
10
00
10
00
10
10
01
10
10
01
11
01
11
01
00
10
11
00
10
10
01
00
00
11
00
10
10
00
10
10
10
00
00
10
01
10
10
01
11
01
00
00
01
01
10
10
01
11
10
10
00
00
01
00
11
10
00
00
00
01
10
10
00
01
00
01
10
11
00
01
01
10
11
00
10
10
11
00
00
10
11
00
00
10
10
10
10
00
01
11
10
11
00
00
10
11
11
10
01
00
00
00
00
00
00
00
11
00
11
00
00
11
00
00
00
01
10
01
00
10
00
00
10
11
00
10
10
11
00
00
10
10
11
00
00
10
10
10
00
10
00
10
10
01
11
11
00
10
10
11
00
00
11
10
10
01
00
00
10
11
11
10
10
00
10
10
11
01
01
10
01
00
00
10
10
10
01
10
10
11
11
00
10
01
10
01
01
10
10
10
00
00
11
11
10
10
11
10
11
10
01
10
10
00
01
00
11
10
10
11
00
01
00
00
10
01
01
00
01
11
01
10
01
00
01
10
11
11
10
00
10
11
00
00
10
11
01
11
00
10
11
00
10
01
10
10
10
01
00
11
11
01
10
10
00
10
00
01
00
10
10
00
00
00
10
00
11
10
01
00
01
00
10
10
10
00
00
01
11
00
00
01
10
11
10
01
00
11
00
10
01
00
10
10
00
10
10
11
01
00
00
11
01
10
10
01
01
11
00
10
10
10
00
01
11
11
00
00
10
10
00
10
10
01
00
00
00
00
11
11
10
01
01
00
11
10
00
11
10
00
00
00
10
11
01
00
10
11
01
10
00
10
10
10
10
00
01
10
11
00
00
01
01
01
01
10
10
10
00
00
10
11
01
01
00
11
10
11
00
00
01
10
01
00
11
11
00
00
00
01
10
00
01
10
00
10
01
00
11
01
10
01
00
11
00
10
11
01
01
10
11
00
10
01
00
10
10
00
01
10
10
10
00
01
10
10
10
10
00
01
00
00
11
00
11
00
10
11
00
10
00
10
10
00
00
00
10
10
01
01
10
00
00
10
10
10
00
10
00
00
01
10
00
00
10
01
11
00
10
10
11
10
01
10
01
00
10
10
11
10
00
01
00
11
10
10
11
10
11
01
11
11
11
11
11
10
01
00
11
10
00
10
11
01
01
01
10
00
10
00
00
11
10
01
11
00
00
10
00
01
00
00
10
00
10
10
00
11
00
11
01
10
11
10
00
01
10
11
00
00
10
01
00
10
10
11
10
11
11
00
01
00
00
00
00
11
10
10
00
10
10
10
11
00
00
11
10
00
10
10
00
00
10
10
10
00
01
10
10
11
11
01
00
00
11
10
00
11
11
10
00
01
11
10
11
00
00
00
10
11
00
11
10
11
01
00
11
10
11
10
00
11
11
01
00
00
10
10
01
01
11
10
10
10
00
10
00
00
10
00
10
10
01
10
10
01
11
00
00
10
10
00
10
00
00
10
01
00
10
10
00
00
00
00
10
01
01
10
01
01
10
10
10
00
10
00
00
11
01
10
11
01
00
10
10
10
10
00
01
00
11
10
00
11
00
11
00
01
10
10
10
00
10
10
10
01
00
10
10
10
11
01
10
10
11
10
00
11
11
00
01
00
10
10
11
00
01
11
10
01
10
00
10
00
00
10
01
10
11
00
01
00
11
10
10
01
00
10
10
11
00
11
11
00
01
01
11
10
10
11
10
00
01
00
11
00
11
00
10
01
00
01
10
10
00
11
10
01
10
00
10
00
00
11
00
00
11
10
11
00
00
10
01
01
00
10
10
01
11
00
10
10
10
00
00
01
11
10
10
10
00
01
00
11
10
10
00
10
01
10
00
00
00
11
00
00
10
00
00
11
10
11
10
00
01
10
00
00
10
10
11
10
01
00
00
10
10
01
00
11
10
10
10
11
10
11
10
00
01
01
00
10
00
10
10
01
11
00
01
10
01
10
01
01
01
11
11
10
01
10
11
10
10
01
01
10
10
11
00
00
11
00
00
00
01
10
10
10
10
10
00
00
10
00
00
11
00
10
10
00
00
00
10
11
00
10
00
00
10
10
00
10
11
00
00
00
00
10
00
00
10
00
01
11
01
11
10
10
11
10
00
10
10
00
11
01
00
10
10
01
11
10
01
11
00
10
01
10
01
01
11
00
10
10
01
00
11
00
00
10
11
00
01
10
11
00
00
10
10
11
00
10
10
01
10
10
00
10
01
00
01
00
01
11
11
00
00
01
10
10
10
00
01
10
00
10
10
10
01
11
10
11
00
10
10
00
00
10
00
00
00
11
00
00
10
10
01
00
00
11
00
00
00
10
10
01
00
01
10
10
01
11
00
10
10
00
10
10
10
01
01
00
11
11
11
00
10
01
11
10
01
10
01
00
10
10
11
00
11
00
00
10
10
01
01
10
11
11
10
00
00
10
10
00
00
00
11
00
10
00
00
11
10
00
10
10
01
01
00
10
01
00
11
11
01
00
10
10
00
10
10
10
10
11
01
11
00
00
00
10
00
00
10
11
00
10
01
10
00
10
00
10
01
11
11
10
00
00
01
10
10
01
00
11
10
10
01
00
10
10
10
00
01
00
10
11
10
10
10
11
00
00
11
00
00
01
10
10
00
00
11
10
00
11
01
10
01
00
01
01
10
01
00
00
00
10
10
10
01
01
00
10
10
10
11
00
11
10
01
01
00
00
00
00
10
00
10
00
01
10
01
00
10
10
00
00
00
01
10
10
00
00
01
11
11
01
00
11
11
00
10
10
00
00
01
10
11
11
10
00
10
01
10
10
00
10
00
01
10
10
11
11
01
10
10
10
10
00
00
00
10
10
01
01
01
00
10
10
10
00
00
11
00
01
11
10
01
10
00
11
11
00
00
10
11
10
00
00
11
11
10
11
00
00
11
00
00
10
00
11
00
10
11
00
10
10
00
00
10
00
10
00
00
10
00
11
10
11
00
11
00
01
10
10
11
01
11
10
00
11
10
10
00
00
01
11
10
00
01
11
10
10
01
10
01
10
01
10
01
10
00
01
01
10
10
10
00
00
01
00
00
11
10
00
10
00
00
10
00
11
10
00
10
10
10
01
11
00
00
11
10
11
00
10
00
11
11
00
00
11
10
11
00
10
01
00
10
01
00
10
11
10
10
01
01
10
11
00
01
11
00
00
01
11
00
01
11
11
01
11
10
01
10
11
01
00
01
11
00
00
10
00
10
11
00
10
01
00
11
01
10
10
00
00
11
01
00
10
11
00
00
11
11
00
10
00
10
11
00
10
00
11
11
01
11
00
10
00
10
00
00
11
10
10
10
00
00
00
01
00
10
10
10
00
10
01
01
10
01
00
00
10
01
00
11
00
00
01
11
11
10
00
00
01
00
10
00
01
01
11
00
11
01
10
11
00
00
11
01
00
11
00
01
11
11
01
11
01
01
00
00
10
10
00
11
10
00
10
01
10
00
10
10
00
00
00
10
10
10
10
11
11
11
00
00
10
10
00
10
00
10
11
01
11
00
10
00
10
11
10
00
01
01
00
01
10
10
11
00
10
10
10
00
11
10
10
11
00
00
01
00
11
10
00
11
01
01
01
10
10
00
01
11
00
00
10
00
10
00
00
11
01
00
10
10
10
11
00
00
10
01
11
01
11
10
01
11
11
10
10
00
00
10
11
00
00
00
00
10
10
01
00
00
01
10
11
01
00
11
10
00
10
10
00
01
01
11
00
11
10
00
01
10
10
00
00
00
00
10
00
10
10
10
00
11
01
01
01
01
10
00
01
11
01
11
10
11
00
10
10
01
00
11
10
00
00
01
10
01
01
10
11
01
10
00
10
10
01
01
00
00
10
11
00
00
11
10
10
01
10
00
11
01
00
00
00
11
00
00
10
11
00
10
00
00
10
11
11
11
00
00
10
00
10
10
01
00
10
00
10
11
11
10
10
10
00
00
10
11
00
01
10
11
10
10
00
10
10
00
10
01
11
11
11
00
10
10
00
00
10
10
00
00
11
01
11
01
01
01
01
00
01
11
10
00
10
00
11
01
01
11
11
00
01
10
11
00
00
00
10
00
00
11
10
00
10
00
10
01
01
11
10
00
00
10
10
01
00
10
11
00
10
10
00
00
10
10
10
01
00
10
11
11
00
11
00
10
00
00
00
10
01
10
10
00
11
00
00
00
10
01
00
00
00
10
11
10
00
10
11
00
00
11
01
00
10
01
11
00
10
10
01
00
11
10
10
11
00
10
00
00
11
10
10
00
10
10
10
10
11
01
10
10
01
00
00
00
00
00
00
01
11
10
00
01
10
10
00
00
00
11
10
10
00
10
11
10
10
10
00
00
11
00
10
11
01
00
10
10
10
00
11
00
11
10
00
11
10
00
11
10
00
01
01
11
00
00
10
01
00
00
10
10
10
10
11
01
00
10
00
11
00
01
10
01
11
10
10
10
11
00
00
00
00
00
00
10
11
10
01
00
10
11
01
01
00
01
10
01
11
11
10
00
10
10
00
10
10
00
10
00
10
01
01
01
11
11
10
00
01
00
10
11
10
00
00
10
10
10
00
00
10
01
10
10
01
10
10
10
00
01
10
00
01
00
10
00
10
10
10
11
10
00
10
01
01
01
10
10
00
10
00
00
10
10
10
10
00
00
00
10
00
01
10
00
10
10
01
00
10
01
00
00
00
11
11
11
01
11
10
00
10
00
00
10
00
00
11
11
01
10
11
10
00
10
10
01
00
11
10
10
00
00
01
10
10
00
01
11
11
00
10
10
00
11
00
10
10
01
00
11
01
00
01
00
11
00
01
11
11
11
01
00
10
11
10
01
01
10
11
11
00
00
00
00
11
11
10
10
01
00
01
11
10
00
00
01
10
00
00
11
11
10
00
01
00
01
00
11
11
01
10
00
00
00
01
11
11
10
10
01
00
11
00
00
10
00
10
01
01
11
11
11
00
11
01
00
10
10
00
00
11
01
10
11
11
10
10
10
01
10
00
00
11
00
10
10
11
10
10
10
10
00
10
00
10
11
01
10
10
10
10
11
01
01
01
00
10
10
00
01
10
11
10
00
01
10
01
11
11
00
10
11
00
01
10
10
01
10
11
00
00
10
00
10
10
01
00
11
10
00
10
00
01
10
11
00
10
01
00
00
11
10
01
10
10
00
10
10
10
10
00
00
00
10
10
00
10
11
00
01
01
10
01
11
01
10
00
01
11
11
00
00
10
10
01
10
00
00
00
10
00
00
00
11
10
01
00
10
11
10
10
01
00
11
11
11
00
01
10
11
10
01
11
10
00
10
01
10
10
00
00
10
11
10
10
10
10
00
00
00
10
11
00
01
01
01
11
01
10
11
10
00
10
11
10
00
00
11
10
00
10
11
01
01
11
00
00
00
11
01
00
00
10
10
00
10
10
00
11
00
00
11
10
01
10
10
00
00
00
10
01
10
01
11
00
00
00
00
11
10
10
11
00
01
01
01
01
01
00
10
11
00
11
11
10
01
01
10
11
00
00
10
11
01
11
10
01
01
10
10
00
11
10
10
00
10
11
10
10
00
00
10
10
10
00
00
11
10
01
11
11
00
10
10
11
10
01
01
10
10
10
00
10
10
00
10
11
10
10
10
11
00
00
10
10
00
00
10
10
00
10
00
00
11
11
01
10
00
01
00
10
10
00
00
10
10
00
00
00
11
10
01
01
00
10
11
01
10
00
00
10
10
00
11
00
11
10
11
11
01
00
10
00
00
01
11
11
00
00
11
00
01
00
10
10
01
01
10
11
01
00
10
10
00
10
10
00
00
10
01
11
01
00
10
01
10
01
11
11
00
00
00
01
00
11
10
11
10
10
11
01
10
10
00
01
10
10
01
10
10
00
01
11
00
00
10
11
10
00
01
11
00
00
10
00
00
10
11
11
01
10
01
01
00
00
11
01
00
00
10
10
00
10
00
11
11
10
11
00
10
11
10
00
10
11
00
01
01
11
10
10
10
10
00
00
10
11
00
01
00
01
01
10
11
10
01
11
10
00
10
00
00
10
00
11
10
11
00
00
00
01
00
10
10
11
11
00
10
10
00
01
10
10
00
00
10
11
00
00
00
00
10
11
01
10
00
01
11
11
01
10
10
00
00
11
00
10
11
00
00
01
10
01
10
00
01
10
11
01
01
11
10
00
00
00
10
01
00
10
10
00
11
10
00
10
10
00
01
01
11
11
01
00
10
00
00
10
11
11
00
10
11
10
11
00
01
01
01
10
00
10
01
10
11
10
00
01
00
10
00
10
10
00
00
00
11
10
11
10
00
11
00
00
10
10
01
11
10
11
00
00
00
11
10
11
10
00
00
00
01
00
00
01
00
10
10
00
10
10
11
00
01
10
00
01
00
10
10
01
11
10
10
00
00
10
01
10
10
10
00
00
10
01
11
10
10
11
01
10
00
10
10
00
00
00
10
00
00
10
10
00
11
00
11
00
01
00
01
11
00
11
11
00
11
01
00
00
10
11
01
01
10
10
11
10
10
01
10
10
10
10
00
11
01
00
00
10
10
01
01
00
10
10
10
11
00
01
11
10
10
00
00
10
10
00
11
00
00
00
11
00
00
11
10
01
00
11
00
11
00
00
00
10
00
00
11
10
00
01
01
10
10
11
10
11
00
01
10
00
00
01
01
00
01
10
10
01
01
11
01
10
11
10
01
10
00
00
10
01
01
00
00
00
10
10
10
10
00
11
10
01
10
11
10
11
11
00
01
01
11
00
11
00
10
00
00
10
10
11
00
10
11
10
01
01
00
10
10
01
10
10
10
00
10
10
00
00
00
00
01
10
10
10
10
00
00
00
01
10
10
10
11
01
11
11
00
01
00
10
01
00
10
00
00
11
11
00
01
00
00
10
00
10
10
00
00
01
00
00
01
01
11
01
00
10
10
10
00
00
10
11
01
00
10
00
10
11
10
00
00
11
10
10
10
01
10
10
10
10
01
00
00
00
01
11
00
00
01
11
01
11
10
01
00
01
11
10
00
00
00
10
10
00
00
10
11
11
00
11
00
00
00
01
11
10
00
01
00
11
00
11
00
10
10
01
11
10
10
00
11
10
01
00
11
11
00
10
10
11
00
10
11
00
11
00
10
11
10
00
01
11
10
00
10
00
01
10
10
10
11
00
00
01
10
01
00
00
10
00
10
10
10
11
00
00
00
01
10
00
00
10
00
00
11
11
01
10
00
10
10
10
10
01
00
10
11
10
10
11
00
10
00
00
10
11
01
00
01
11
10
00
10
10
00
10
10
00
00
01
10
10
11
01
00
01
10
10
11
00
11
00
11
10
01
10
01
00
01
00
00
10
11
00
00
00
10
10
10
00
01
01
10
00
10
00
11
10
10
01
00
00
10
10
10
00
11
00
00
10
00
00
00
01
01
01
10
00
00
10
01
01
00
11
10
11
10
01
10
00
00
10
10
10
10
00
01
11
10
01
10
11
00
00
11
00
00
10
10
00
10
10
10
10
00
01
00
00
00
01
10
11
01
01
00
00
10
10
00
00
01
10
10
11
00
01
01
11
11
00
00
10
00
10
11
00
00
00
10
10
00
00
00
00
00
01
10
11
10
01
01
00
10
01
01
10
11
10
00
11
00
00
10
11
00
00
10
00
10
11
10
01
01
10
01
01
10
01
10
10
11
01
00
00
10
10
00
00
01
10
00
10
00
11
01
01
00
10
00
00
10
11
10
00
10
00
00
10
11
00
11
10
01
00
10
01
01
10
11
11
00
10
10
01
10
10
00
10
00
10
00
00
00
11
11
00
10
10
10
00
00
01
11
01
00
10
00
10
10
00
00
11
01
00
00
11
10
00
10
11
10
11
10
01
00
11
00
01
00
11
10
00
11
00
10
11
01
00
10
10
11
10
00
10
11
11
00
01
00
00
00
10
00
00
10
10
00
00
00
10
00
01
00
00
10
01
10
00
10
11
10
10
00
01
00
10
10
01
00
11
00
10
01
01
11
11
10
00
10
00
00
00
11
00
11
01
10
00
10
01
01
00
10
11
01
00
11
00
10
11
00
10
10
10
00
00
10
00
10
00
01
10
01
10
10
10
11
10
10
10
00
00
01
11
11
00
10
01
00
11
10
01
01
11
00
00
10
10
01
00
11
00
01
11
11
00
10
10
01
11
11
10
01
00
10
11
00
00
10
10
00
11
11
00
11
00
11
10
10
10
01
00
00
11
00
01
01
10
10
10
01
01
01
10
00
10
10
00
00
01
10
11
01
00
11
11
11
00
10
10
11
01
10
10
00
00
00
01
10
00
00
11
10
11
10
00
00
10
10
01
10
11
01
00
10
10
01
10
00
10
00
00
10
11
11
00
00
00
01
00
10
00
00
10
10
10
00
00
10
11
01
11
11
00
00
01
10
00
00
00
00
10
11
00
00
10
11
00
00
11
00
01
00
10
11
00
01
10
11
10
11
00
00
10
00
11
11
11
00
00
10
00
10
00
00
11
10
01
00
00
01
01
10
10
10
00
01
00
00
10
10
10
01
11
00
00
11
00
00
10
00
10
11
00
11
11
01
10
01
11
10
10
00
01
11
11
11
00
00
00
00
10
11
00
00
11
00
10
01
10
10
00
01
00
10
00
00
11
10
00
00
00
11
00
00
10
11
01
00
00
10
11
00
00
00
10
10
10
00
10
00
00
11
10
11
10
00
00
11
10
00
00
11
10
11
00
11
10
00
10
00
10
10
11
01
11
10
01
00
00
00
10
10
11
01
01
11
00
10
00
00
10
11
01
01
10
11
00
00
11
11
10
00
00
10
11
11
00
00
10
10
00
10
00
01
01
00
00
11
10
10
10
11
00
10
01
00
00
00
10
00
01
10
10
00
10
11
00
00
00
10
11
00
10
10
01
10
10
00
01
10
10
10
10
01
01
10
01
01
11
01
11
11
10
10
00
01
10
11
00
01
11
11
00
01
10
10
10
00
00
11
11
00
11
01
01
10
00
10
10
10
00
01
11
10
00
11
00
10
00
10
10
00
10
01
10
10
00
00
10
00
00
00
10
10
11
10
00
01
11
11
10
01
01
11
10
01
11
10
10
01
00
10
11
00
10
10
01
00
01
10
10
01
00
00
11
11
00
10
01
10
10
10
10
00
10
11
00
00
11
11
01
00
00
10
10
10
10
01
00
10
10
01
11
00
10
10
01
00
11
00
00
10
11
00
10
01
00
00
10
10
10
10
10
00
00
01
00
00
10
00
00
00
01
11
01
11
00
10
00
00
11
01
00
11
00
00
00
00
10
11
10
01
10
10
00
11
10
10
10
00
10
10
00
01
11
01
11
00
10
10
10
11
00
01
00
11
00
00
11
01
00
10
00
00
10
11
01
10
10
00
00
01
00
11
00
10
11
11
10
10
10
00
11
00
01
10
10
00
10
10
11
00
00
11
00
00
00
10
00
00
10
10
10
10
10
00
10
00
00
00
00
10
11
11
10
10
01
10
01
00
00
10
01
00
10
11
00
00
00
10
00
11
10
01
11
01
11
11
00
00
10
10
01
01
10
10
00
10
10
11
00
00
01
10
11
01
10
11
01
11
00
01
10
10
01
00
10
01
00
00
10
01
00
01
11
10
00
01
10
10
00
01
11
10
11
10
00
10
00
00
10
10
10
10
10
00
00
10
00
00
11
00
00
10
01
00
01
00
10
00
11
11
10
10
01
10
11
10
11
00
11
00
11
10
01
10
10
00
00
00
10
01
01
10
01
00
10
00
00
00
11
10
00
01
01
10
00
11
00
10
00
01
01
11
11
10
10
10
00
00
10
11
01
00
01
10
01
11
11
00
00
11
11
10
01
00
11
00
01
10
00
10
10
10
00
10
00
10
10
10
10
11
00
10
10
11
11
01
11
00
00
11
10
10
00
00
01
00
10
11
00
00
00
11
11
00
01
10
01
10
11
00
00
00
10
00
00
01
10
10
00
01
11
11
11
10
00
00
11
00
10
11
00
11
00
10
10
10
11
00
10
10
10
10
10
10
00
00
11
00
11
00
11
10
10
11
00
11
10
00
00
11
10
10
11
00
00
10
01
00
00
10
10
10
11
10
00
00
10
00
00
10
10
10
01
11
00
01
10
10
10
00
10
10
00
01
00
10
10
00
01
01
11
10
10
10
10
01
01
00
10
10
00
10
11
10
10
00
01
11
10
11
10
11
00
00
00
10
10
10
11
00
01
10
00
10
10
01
01
00
11
00
00
10
00
00
00
01
10
11
00
10
00
10
10
10
00
00
10
10
00
00
11
00
01
10
10
01
10
10
10
10
00
01
00
00
10
00
10
01
10
00
00
11
10
10
10
01
10
00
10
11
00
10
10
01
10
11
01
00
11
01
00
11
10
00
01
11
00
10
10
00
11
10
10
01
00
00
11
00
10
10
00
11
00
01
00
00
10
10
00
00
10
11
01
00
11
10
01
10
10
10
00
00
11
10
10
11
01
10
00
10
10
00
11
00
11
01
11
00
10
11
10
11
11
11
00
01
11
00
11
00
00
10
10
00
11
00
01
00
00
10
00
11
00
11
10
01
10
00
10
00
01
10
00
00
00
00
10
00
10
00
00
10
01
10
11
00
01
00
01
00
10
10
01
10
11
00
01
00
10
00
10
00
10
01
00
01
00
10
01
10
00
01
10
10
00
00
10
10
00
11
00
10
00
01
10
10
00
10
00
01
01
01
10
11
10
00
00
00
10
10
00
10
00
00
00
10
01
11
00
00
11
00
00
11
01
00
10
01
10
11
01
00
00
10
10
10
00
01
10
10
10
10
10
01
01
01
00
10
11
11
11
01
00
10
11
00
10
10
00
10
11
10
00
01
01
00
01
10
00
00
01
01
01
11
01
10
10
01
11
10
00
11
10
00
11
01
00
01
00
01
00
10
11
00
10
10
00
00
01
10
10
01
00
01
01
10
11
10
01
00
00
01
10
11
11
11
01
00
10
01
11
10
00
00
00
11
00
11
10
00
10
11
10
00
00
01
10
11
01
00
11
00
10
00
10
01
10
10
00
10
00
01
11
11
00
11
01
10
10
10
01
00
00
11
11
00
00
01
10
11
00
00
10
10
00
11
10
01
00
10
10
11
10
11
01
10
00
00
00
10
10
01
10
10
01
10
00
10
01
00
00
11
11
11
10
10
10
00
01
10
00
00
00
00
00
11
10
00
01
10
01
10
10
00
01
10
10
01
01
00
00
11
10
10
10
00
00
01
00
10
11
00
00
11
00
10
11
10
10
10
00
00
01
01
00
00
11
00
00
11
10
11
10
10
00
00
11
10
11
10
00
00
10
11
01
01
10
10
10
00
00
10
10
00
00
11
01
10
10
10
00
10
00
00
00
10
10
01
00
00
10
10
01
01
00
00
10
01
10
10
01
10
10
01
00
10
00
01
01
10
01
01
01
01
00
00
11
00
00
11
11
01
11
10
01
01
00
11
10
01
00
01
10
00
01
11
11
00
11
11
01
00
11
00
00
10
10
00
00
10
11
10
11
10
01
00
10
10
00
00
01
10
10
00
01
10
10
10
00
10
00
11
00
11
10
00
11
00
00
10
00
00
00
01
10
11
01
01
10
00
10
11
10
00
11
10
11
01
11
00
10
11
00
01
00
01
10
11
10
00
10
10
00
00
10
11
10
01
10
11
11
11
10
10
00
00
00
10
10
01
00
00
00
00
00
11
10
01
11
01
10
10
00
01
10
10
10
00
10
10
10
00
00
00
00
10
10
00
10
10
00
01
11
11
11
00
01
00
11
00
11
11
00
00
10
10
10
10
00
10
10
10
10
01
10
00
00
00
01
10
00
01
11
10
01
10
11
00
00
10
11
00
00
01
11
10
11
10
00
11
10
01
00
10
00
10
10
00
10
00
00
11
10
01
10
00
01
01
00
00
10
01
11
10
00
10
10
00
01
10
11
11
10
10
01
10
01
00
11
11
10
01
01
00
10
11
11
00
01
10
00
10
10
01
00
10
10
01
01
10
00
00
11
00
10
10
00
01
10
11
10
01
00
11
10
00
10
10
10
01
00
11
10
00
00
00
10
11
10
00
00
10
10
11
10
10
00
00
10
10
10
00
00
10
10
10
00
10
10
00
00
11
11
11
10
01
10
10
11
10
00
11
10
00
00
01
10
11
10
10
11
10
00
00
10
11
11
01
11
10
01
11
10
10
01
00
10
10
10
11
00
01
00
00
10
11
10
01
10
10
01
00
11
00
11
10
11
00
00
01
11
10
00
00
10
10
01
10
00
00
11
01
01
00
10
10
00
00
00
10
10
10
00
00
00
00
10
10
00
01
00
10
11
00
00
00
10
00
10
00
10
10
01
00
00
00
10
11
00
01
00
11
10
11
11
11
00
01
01
00
10
11
11
10
00
10
00
00
10
11
01
01
10
01
10
00
10
00
01
10
00
01
11
10
10
10
11
10
00
10
00
00
10
10
10
00
00
00
10
10
01
00
10
10
10
11
01
01
00
00
00
11
10
01
10
11
10
11
10
10
11
01
11
10
00
00
11
00
10
00
01
11
00
00
11
01
00
10
10
00
00
10
00
10
01
11
00
10
01
11
10
11
00
11
10
11
00
10
01
00
10
10
11
01
00
10
01
10
10
10
10
01
00
11
01
10
00
10
11
01
00
00
10
00
00
11
00
10
10
11
01
10
10
00
00
00
00
10
10
11
00
10
10
01
10
10
10
00
00
10
11
01
01
11
10
00
10
11
10
11
00
10
10
10
01
00
01
11
00
00
10
01
00
00
10
10
10
00
11
01
11
11
10
10
11
01
00
10
10
01
11
11
01
01
10
10
11
00
00
10
10
11
00
00
10
10
00
01
01
11
10
01
10
11
11
00
00
00
10
11
10
10
00
11
10
01
01
00
01
01
10
10
00
00
01
01
10
10
11
10
01
11
00
10
00
01
10
00
10
00
01
10
01
10
00
00
01
00
11
10
00
00
10
10
10
10
01
01
10
10
01
10
00
01
00
01
00
00
11
01
00
10
10
10
11
00
00
01
10
10
00
10
01
10
01
11
00
00
10
10
10
10
00
00
10
00
10
00
00
11
11
11
00
10
10
00
01
11
10
01
11
00
10
10
00
10
01
00
10
10
00
01
10
01
01
10
11
01
01
00
00
10
11
00
00
10
10
01
00
01
10
10
01
01
11
11
11
00
00
10
01
00
10
00
00
10
00
00
10
10
11
00
11
10
10
11
01
11
10
01
00
00
11
11
00
10
01
00
10
11
01
00
00
10
10
10
10
10
00
01
10
01
01
11
00
00
10
10
00
01
00
00
11
01
01
10
00
10
10
10
00
00
11
10
01
00
10
01
10
00
10
10
01
11
10
01
10
11
00
00
10
00
11
00
10
10
10
00
01
10
11
00
11
10
00
10
00
00
01
10
11
00
01
10
11
10
10
00
01
00
10
00
00
10
01
01
10
10
10
10
01
10
01
00
10
01
00
00
10
00
00
10
10
00
11
00
11
00
11
01
10
11
00
01
10
00
00
10
00
10
00
00
01
10
01
01
10
10
10
11
00
11
11
00
01
10
00
10
01
11
10
01
00
00
10
01
00
11
00
01
10
00
00
11
01
00
01
10
00
10
10
00
10
10
11
00
00
00
00
00
10
10
10
00
00
11
10
10
10
00
11
00
10
01
01
11
01
10
10
00
01
10
10
00
00
10
00
10
11
01
01
00
00
00
00
10
10
01
10
10
00
01
11
10
11
10
00
00
11
10
00
00
00
10
11
11
11
00
10
10
11
00
00
10
10
10
10
10
00
10
00
00
00
00
10
01
10
11
11
11
10
00
00
11
11
10
01
00
11
00
11
10
00
10
01
10
11
00
10
10
01
00
01
00
11
01
00
01
00
00
11
11
00
11
10
01
00
10
01
10
10
01
10
00
00
00
10
01
00
11
10
00
00
00
10
10
00
01
01
11
00
00
00
01
10
11
11
00
00
10
01
10
01
00
10
00
00
10
01
10
01
00
10
10
01
01
11
10
11
01
11
00
00
00
10
11
00
11
00
01
10
10
01
10
10
00
00
10
00
11
11
00
00
00
10
10
00
10
10
01
00
01
01
11
10
11
00
10
10
00
10
10
10
00
11
10
10
01
10
11
10
00
10
11
00
01
01
11
10
00
01
10
11
10
00
00
00
11
00
10
11
00
10
10
01
00
10
10
00
00
11
10
11
10
10
11
00
11
10
01
00
10
10
10
11
01
10
10
00
01
10
01
01
00
10
11
00
10
00
01
01
01
11
11
00
00
10
10
10
00
00
01
10
11
01
00
11
00
00
10
01
00
00
10
11
00
01
00
10
10
01
00
01
10
10
10
00
00
00
00
10
10
10
00
00
01
00
11
10
01
01
01
01
10
11
11
01
01
10
10
00
01
10
00
00
10
00
00
11
10
10
00
00
01
10
10
10
11
00
00
10
10
01
11
10
00
00
10
10
00
00
00
01
11
11
11
01
11
00
10
01
00
00
10
11
01
11
11
00
01
01
00
10
10
01
00
10
10
10
00
01
11
00
00
10
10
01
10
11
00
00
01
01
10
10
10
01
00
11
10
00
01
11
10
10
10
01
10
10
10
00
00
10
10
10
00
00
10
00
00
10
00
10
10
01
10
10
00
10
10
00
01
00
11
10
10
01
11
01
11
01
00
01
10
10
00
11
00
00
10
00
10
11
00
00
10
10
11
10
10
11
10
10
00
01
00
00
11
00
10
00
10
10
11
00
10
01
11
10
00
00
00
01
00
00
10
10
10
11
00
00
10
01
11
10
00
01
01
00
01
10
10
01
00
00
01
10
10
10
01
00
11
10
00
10
10
00
10
11
00
01
00
00
10
10
01
01
00
10
00
11
10
10
10
00
00
00
10
10
00
00
10
00
10
10
00
00
10
11
00
00
11
10
10
00
11
10
00
01
00
01
10
10
00
00
10
01
11
10
00
10
01
01
00
11
10
10
00
00
11
00
01
11
00
10
00
10
00
00
10
10
00
10
10
01
01
10
00
10
00
00
10
01
11
11
00
10
11
11
00
11
01
00
01
00
10
00
00
10
10
10
00
11
01
10
01
00
01
00
10
00
10
10
00
00
10
11
10
00
01
10
00
00
11
00
10
10
10
01
10
11
01
11
10
00
00
10
10
00
01
10
00
01
00
11
00
01
10
01
00
11
01
00
01
10
00
11
00
11
00
00
10
10
00
00
10
11
10
01
00
01
00
11
10
00
11
11
01
10
11
01
11
10
00
00
01
10
11
10
00
10
01
11
10
10
00
10
00
11
00
00
10
00
00
00
00
10
00
01
00
00
01
10
11
00
00
10
10
00
10
10
00
10
10
00
01
11
11
01
10
01
01
11
10
01
10
00
00
10
11
00
10
11
10
10
00
10
00
10
10
00
00
10
11
00
01
01
11
11
10
00
01
00
00
01
10
11
10
10
01
00
10
10
00
00
01
11
10
10
00
10
10
10
01
10
00
01
00
00
10
00
00
11
10
01
00
10
01
10
10
11
11
01
00
00
00
01
00
01
10
00
00
10
01
00
10
11
11
00
00
10
11
10
11
00
10
00
00
00
01
10
11
10
01
00
01
00
10
10
10
10
01
00
11
11
11
10
11
10
11
11
00
01
10
00
00
10
10
10
00
00
10
11
01
11
11
00
01
01
00
01
10
10
00
10
10
10
00
00
01
11
00
01
00
10
10
10
00
00
01
10
00
10
10
00
00
10
10
00
00
10
00
00
10
10
00
00
00
00
00
10
10
01
10
10
11
11
00
10
10
00
10
10
11
11
10
00
11
10
00
01
00
11
11
00
01
11
11
00
00
10
10
01
00
01
11
10
01
00
01
00
00
10
01
11
10
01
00
10
10
11
10
00
10
10
00
10
00
11
10
10
11
10
10
00
10
10
11
10
10
00
00
10
00
00
10
00
00
10
10
11
01
00
10
00
10
01
01
10
11
10
00
00
01
00
10
10
01
10
11
10
10
01
00
00
00
11
10
11
00
11
01
10
10
01
00
11
10
00
00
11
01
10
00
00
10
00
11
10
10
11
00
11
10
11
00
11
10
10
11
00
00
10
11
00
00
10
10
11
01
10
00
10
01
10
11
00
01
11
01
01
01
10
11
00
10
10
10
00
01
01
00
10
01
10
01
00
10
00
01
10
00
11
00
00
10
00
10
11
01
01
00
00
10
01
10
11
01
00
11
10
00
00
00
10
01
01
10
10
00
01
00
00
00
10
00
11
10
00
11
11
00
10
10
00
10
10
10
00
10
01
01
10
10
00
01
10
01
11
11
10
00
01
11
10
00
11
10
01
00
00
01
10
10
00
10
11
00
00
10
11
00
11
11
00
11
01
01
10
10
10
10
01
00
00
10
00
01
00
01
00
00
11
01
00
00
10
10
11
10
01
01
11
10
10
11
10
10
11
00
01
00
11
01
11
00
01
00
10
11
01
01
11
01
01
10
00
00
00
11
11
00
11
11
00
10
00
10
01
11
11
00
00
10
00
11
11
00
01
10
00
00
11
00
11
00
01
00
11
10
00
10
10
00
00
01
10
00
01
00
00
11
00
11
01
01
10
10
00
00
10
01
00
10
10
11
10
01
00
11
00
10
01
00
00
01
10
00
01
10
10
01
01
00
10
00
11
10
00
00
00
11
10
11
00
11
00
11
00
01
00
00
00
10
11
01
10
00
00
11
00
01
00
11
00
10
01
00
11
10
10
00
00
10
00
01
00
00
10
10
10
00
00
10
00
00
11
10
11
00
01
11
01
10
10
01
10
01
01
00
11
00
10
10
10
00
00
00
00
10
10
00
00
10
10
10
01
00
00
11
10
10
10
10
10
10
10
01
00
01
00
01
11
11
10
10
11
01
11
11
00
10
00
01
10
01
00
11
10
11
10
11
11
01
01
10
10
00
10
10
01
00
10
01
00
00
01
01
00
00
00
10
11
00
10
10
10
00
11
01
10
10
10
00
10
11
00
10
01
00
10
00
00
10
10
00
01
00
01
00
10
00
11
10
10
00
00
10
00
10
11
00
10
01
10
10
00
10
00
10
10
10
00
10
11
00
10
11
01
00
10
10
11
10
00
11
00
11
00
00
01
10
11
00
01
11
10
10
10
01
00
10
01
01
10
10
00
01
10
10
00
00
10
10
10
00
10
11
11
00
00
10
10
11
10
10
00
10
01
00
01
11
11
00
01
11
10
10
00
01
10
10
01
00
11
11
10
11
01
00
10
00
10
10
00
01
01
01
10
00
00
00
11
10
10
01
01
00
00
00
00
00
11
11
11
01
10
10
00
10
11
11
01
00
10
11
00
01
11
10
01
11
11
10
10
00
00
10
00
10
11
00
10
10
10
10
11
10
10
11
00
00
00
10
11
01
00
00
01
00
00
00
10
11
00
00
10
10
00
10
11
00
10
01
11
10
00
00
11
00
10
10
00
10
11
00
01
10
11
11
10
00
00
01
00
10
10
00
01
10
11
01
11
11
10
10
10
00
00
11
10
10
00
10
10
10
11
01
11
11
00
10
10
10
10
01
00
10
11
10
10
10
00
11
00
00
10
00
10
00
10
00
01
00
00
01
10
10
00
00
00
10
11
01
01
01
10
00
01
10
10
10
00
10
11
10
00
10
00
10
00
10
10
00
01
01
00
11
10
11
00
00
10
00
00
10
01
01
11
01
10
10
11
00
10
10
01
00
10
00
11
10
11
00
11
10
00
00
10
10
01
00
10
00
10
01
00
00
00
00
01
10
01
11
10
00
10
00
01
10
00
00
11
01
10
10
00
10
11
00
10
01
10
00
01
00
10
10
10
00
10
00
11
00
11
10
01
10
01
11
00
10
10
10
00
00
11
10
01
10
00
00
00
10
00
01
11
10
01
10
01
11
01
00
10
10
01
00
01
01
10
10
01
10
00
10
10
00
00
01
00
00
10
10
10
00
10
10
00
01
10
01
11
10
11
10
00
00
01
11
10
00
10
01
10
01
11
11
00
11
10
00
11
11
10
01
11
10
11
00
10
11
10
10
01
01
10
10
00
10
10
10
01
01
00
00
01
00
01
10
00
10
01
00
10
01
01
11
11
11
10
11
11
01
01
11
11
00
10
11
00
01
10
00
00
10
11
01
10
10
11
10
10
00
00
10
10
00
00
10
00
01
00
00
11
11
00
00
10
11
00
10
00
00
00
10
01
11
10
10
10
10
11
10
01
10
00
01
10
11
00
00
10
10
10
11
01
01
00
01
00
00
10
10
00
00
01
10
11
00
11
10
11
00
01
00
01
00
10
01
00
10
10
10
00
00
10
10
00
01
00
00
11
00
11
00
11
00
10
11
10
10
01
10
10
10
11
00
00
11
01
10
11
01
10
01
01
10
00
00
10
11
10
01
10
01
01
10
00
10
00
11
00
01
10
10
10
10
01
01
10
10
11
11
00
00
00
00
00
11
00
01
00
11
11
00
10
00
11
11
00
00
11
10
00
00
10
00
11
00
11
00
00
00
11
11
10
00
00
11
00
10
10
01
01
10
00
10
10
00
10
00
10
01
10
00
10
10
00
10
11
00
00
10
01
11
10
11
01
00
10
01
01
10
00
00
10
10
11
10
10
00
00
10
11
10
00
01
10
01
11
01
01
10
00
10
00
01
10
11
00
11
00
01
10
00
01
10
10
00
11
00
00
00
10
00
00
01
01
01
10
11
10
01
01
11
00
11
10
00
00
00
00
10
10
01
10
11
10
11
11
11
10
00
00
11
00
00
10
10
00
01
10
11
00
01
10
00
10
00
00
00
00
10
10
11
00
10
00
01
00
00
10
00
00
00
10
10
10
11
01
10
11
10
01
00
00
10
11
01
00
11
11
01
11
11
00
10
11
00
01
10
10
10
11
10
00
11
10
00
00
00
10
10
10
11
00
00
00
11
00
10
01
10
11
01
01
00
00
10
00
01
11
00
10
10
00
10
01
01
00
10
10
11
00
00
11
10
10
00
00
00
00
10
00
11
11
01
00
11
10
00
10
01
10
10
01
00
10
00
01
10
00
00
10
00
00
00
00
10
00
01
01
10
10
10
00
00
00
10
11
10
10
00
00
01
00
10
11
00
01
01
11
10
00
00
01
01
10
10
00
10
11
01
01
00
11
11
10
00
10
11
01
11
00
01
11
10
10
11
00
00
10
11
11
00
01
10
01
10
01
00
01
11
10
11
01
00
10
10
00
11
00
01
00
11
00
11
10
11
00
00
10
10
10
00
00
11
00
01
11
10
10
10
00
10
00
00
11
00
10
00
10
00
00
11
10
10
10
11
00
00
10
00
10
11
10
00
00
11
10
00
10
00
11
00
10
00
01
10
10
00
00
01
10
00
00
10
00
10
01
00
00
11
10
00
00
10
11
00
00
00
00
10
00
10
11
00
01
00
11
10
00
00
11
00
00
10
10
01
01
00
10
10
00
00
11
10
00
11
11
00
10
01
00
11
10
10
00
00
01
10
10
01
01
00
10
00
11
11
00
10
00
00
11
01
10
01
11
11
11
10
00
01
10
00
11
10
01
01
01
00
11
10
11
00
00
10
10
10
00
00
11
00
11
10
00
10
11
00
00
11
11
00
10
10
00
10
01
11
00
00
00
11
01
01
11
01
11
10
11
01
00
11
00
10
11
00
00
10
01
00
11
00
10
01
00
11
00
10
01
10
11
10
11
00
11
11
01
10
10
10
11
00
00
01
10
00
10
11
00
00
10
10
10
01
11
01
00
11
11
11
10
10
00
00
11
00
00
10
10
01
01
01
00
00
01
01
10
10
00
00
00
00
00
11
11
11
10
10
01
11
10
00
00
10
10
00
01
01
10
01
00
10
10
00
00
00
11
11
00
10
10
10
01
10
11
00
01
11
10
11
01
00
00
10
10
00
10
11
11
00
00
00
01
01
11
10
10
10
10
11
00
10
10
10
00
00
10
00
10
00
01
10
00
11
10
01
00
01
11
00
00
10
10
11
01
00
01
10
11
00
11
01
10
11
10
11
00
11
00
00
00
11
10
11
10
01
00
10
01
01
10
11
00
11
10
11
00
00
01
10
01
11
10
00
10
00
00
00
10
01
10
10
10
10
11
00
00
11
01
01
00
00
10
00
11
01
01
11
10
00
01
10
11
00
00
10
10
01
10
01
10
10
01
00
00
10
10
01
10
11
01
00
10
01
10
10
10
01
00
10
11
10
01
01
01
11
10
00
00
11
11
11
10
00
10
11
00
01
00
10
10
00
10
10
10
10
00
00
00
10
10
01
10
00
00
10
10
10
11
10
01
00
01
10
01
10
01
00
10
01
11
00
01
00
10
10
10
11
11
01
10
11
10
10
11
00
10
11
00
01
00
11
10
10
00
00
11
11
00
00
00
10
11
00
11
10
11
11
01
10
10
11
00
01
01
11
01
00
10
10
00
10
10
00
11
10
01
11
01
01
00
01
11
10
10
11
01
10
11
00
10
01
10
11
10
01
00
00
10
00
00
11
11
00
10
11
00
00
10
10
01
00
10
11
00
01
11
00
10
10
00
01
01
11
11
00
10
00
01
00
00
10
10
00
10
10
00
11
00
00
10
10
10
00
00
00
10
10
00
11
11
01
00
00
10
01
10
10
01
00
10
10
00
10
00
10
11
00
10
10
00
00
00
00
00
00
10
11
10
00
10
01
00
10
00
00
00
10
11
00
10
10
00
10
00
00
11
11
00
10
00
01
10
10
00
10
10
10
11
00
11
10
10
01
10
11
10
11
00
00
01
01
10
10
10
00
10
10
00
00
00
10
00
10
00
01
01
11
10
00
00
01
01
11
01
11
10
00
11
11
01
10
00
01
00
11
10
10
00
11
10
01
10
00
10
10
10
10
10
00
10
00
11
10
00
00
00
00
00
01
01
11
11
10
10
00
10
10
10
00
00
01
10
10
10
01
10
10
00
00
11
00
11
10
10
00
00
01
11
11
00
10
10
10
00
00
01
10
11
00
01
11
10
00
10
01
10
10
00
00
10
10
10
11
11
10
10
10
11
00
00
10
11
10
00
11
10
11
00
10
11
10
01
10
00
01
10
00
00
00
10
11
01
00
00
01
10
01
01
00
11
00
00
10
11
10
00
00
00
01
11
00
00
00
10
10
00
10
11
00
00
10
10
00
10
10
01
10
10
10
10
10
00
10
10
00
01
01
10
00
00
10
00
01
01
01
10
10
00
00
11
11
11
00
11
00
10
10
01
01
11
11
10
11
00
11
10
10
01
10
00
00
00
11
00
00
10
10
10
01
11
11
10
01
10
00
00
11
00
10
01
00
11
11
01
10
11
10
10
10
01
01
10
01
00
11
00
01
00
10
11
00
11
10
01
00
01
11
10
01
00
00
10
00
10
10
00
01
00
00
10
10
01
01
00
10
10
00
10
10
01
10
01
11
01
00
01
10
10
01
00
10
00
11
10
10
00
01
00
00
11
11
11
10
11
00
11
10
10
00
01
10
11
10
11
11
10
00
01
01
01
10
00
01
00
01
10
11
00
10
00
01
01
01
00
10
10
10
10
10
00
00
00
10
10
10
11
11
00
00
10
10
10
01
00
00
01
10
10
10
10
10
10
01
10
11
11
00
01
01
00
11
11
11
11
10
01
10
01
11
00
01
10
00
00
01
11
01
11
10
01
10
11
11
10
00
00
11
10
00
00
11
01
01
10
10
11
00
10
01
01
10
11
10
00
01
00
00
10
00
10
10
00
01
00
11
11
00
10
00
11
00
00
10
10
00
10
10
00
10
11
10
01
00
00
11
11
10
10
10
00
01
00
10
10
11
01
01
10
11
10
01
00
10
01
00
00
11
10
00
00
10
10
00
00
11
10
01
01
01
11
10
10
10
00
00
10
00
11
00
01
10
01
10
10
00
01
00
10
10
00
00
10
10
01
10
01
00
10
01
00
00
01
01
11
00
11
10
01
00
10
11
01
01
10
00
00
00
11
10
11
01
01
11
00
00
00
10
11
00
00
10
00
10
10
00
00
10
00
00
10
00
10
00
00
10
00
11
10
01
00
11
10
00
10
00
00
10
00
00
00
01
00
10
01
10
01
10
00
00
01
10
00
11
10
01
01
11
11
10
10
10
10
01
00
01
10
10
01
00
11
10
11
00
00
10
10
01
01
01
01
10
11
10
11
11
10
10
00
00
10
00
00
00
10
10
00
10
10
00
10
01
10
00
11
10
01
01
01
10
10
11
00
00
10
00
01
10
01
11
11
10
00
10
10
00
10
00
00
11
01
10
10
00
00
11
11
10
00
00
10
01
00
11
11
00
11
10
11
11
00
00
00
11
11
00
00
10
11
10
10
00
10
10
01
00
01
00
10
00
01
10
11
10
00
10
11
00
01
01
10
01
11
11
00
00
10
01
00
11
01
00
10
00
11
10
11
00
11
10
00
01
10
00
00
11
11
00
00
00
01
00
00
10
10
10
11
00
00
00
10
10
01
11
00
10
00
10
11
10
00
11
10
11
00
01
11
10
00
01
10
11
10
01
00
10
11
00
01
10
11
01
00
11
01
00
10
00
00
10
11
00
10
10
10
10
00
10
10
01
10
00
11
10
10
11
00
00
01
00
11
00
10
10
00
00
10
00
01
10
11
01
00
10
00
00
00
00
10
11
01
00
00
01
00
11
11
10
00
10
00
00
10
01
00
11
01
10
10
10
11
00
01
11
10
01
10
10
00
00
10
11
10
01
01
00
10
00
00
11
11
00
01
10
00
00
10
10
00
00
10
10
01
11
00
01
10
11
10
10
10
00
00
11
10
10
01
00
01
00
10
00
00
01
01
10
10
11
00
11
01
11
01
11
01
11
00
10
01
01
00
11
11
00
10
11
10
10
10
01
01
10
10
10
11
11
01
10
10
10
00
00
00
10
10
10
00
00
00
00
00
00
00
10
10
00
10
01
01
10
00
10
00
00
10
00
10
00
11
00
01
11
01
01
10
10
01
01
10
11
10
00
00
01
10
10
10
00
00
11
01
00
00
00
11
00
00
10
11
10
01
01
00
10
10
10
01
00
10
11
11
11
11
00
00
00
11
10
00
00
10
10
10
10
00
00
01
10
00
00
00
00
10
10
10
10
00
10
01
00
01
00
10
00
11
10
00
01
11
00
10
01
00
11
10
10
01
01
01
00
00
10
10
00
11
00
00
10
11
00
00
10
00
00
11
00
10
11
01
00
11
10
00
00
10
01
10
10
00
00
00
00
00
11
00
01
01
00
00
01
00
10
11
00
00
01
10
10
10
10
00
01
10
11
01
00
00
01
00
10
11
00
01
10
01
11
00
10
11
10
11
10
00
10
10
00
00
00
00
11
10
11
10
01
00
10
11
11
00
10
01
10
11
00
10
00
11
00
10
11
00
10
00
00
10
11
00
00
11
10
11
00
10
10
01
10
01
00
01
01
10
00
00
00
11
01
01
10
10
10
11
01
00
00
10
10
00
00
01
10
01
00
10
01
00
10
11
10
10
00
10
00
00
10
00
11
11
01
00
00
00
11
11
10
00
00
00
00
00
10
00
01
00
11
11
00
11
11
10
01
00
11
10
00
00
10
10
11
01
00
00
10
11
10
00
11
10
00
01
00
00
01
10
01
10
01
00
10
10
10
10
10
00
01
10
01
11
10
10
01
00
11
11
00
00
10
10
11
10
00
01
10
01
10
11
11
10
10
11
00
01
11
10
01
00
10
10
01
01
01
10
10
10
10
00
00
10
11
00
10
00
01
01
10
10
00
11
00
00
00
00
11
11
10
00
00
10
10
10
11
00
00
00
10
00
01
10
11
00
00
10
11
01
00
00
10
00
00
00
10
01
01
10
00
10
10
10
01
10
10
00
10
00
10
00
10
00
10
10
10
01
10
10
00
11
00
01
00
10
00
11
01
01
01
11
01
01
10
01
10
11
00
00
10
10
10
00
00
11
00
10
10
10
00
10
11
00
11
10
00
10
10
10
00
11
11
01
01
00
01
11
00
00
01
10
10
00
10
11
11
00
01
01
10
10
00
00
10
11
00
00
11
10
11
00
01
10
01
00
00
00
10
11
01
00
10
00
00
00
00
11
10
00
00
00
00
10
00
10
00
11
01
10
10
01
00
11
00
00
00
11
11
11
11
01
10
00
01
10
10
00
00
10
01
00
01
10
10
11
00
10
10
01
01
10
10
11
00
10
00
01
00
01
10
01
00
11
01
01
01
00
11
10
00
11
00
00
10
00
11
00
01
10
00
00
00
01
10
01
00
10
11
00
10
10
00
10
00
01
10
00
00
10
10
00
10
00
00
10
10
00
01
10
10
10
10
01
01
01
11
00
00
00
00
11
01
10
10
10
00
10
11
10
11
11
01
00
00
00
10
00
00
10
10
00
00
01
11
11
01
10
10
10
01
00
00
10
10
00
00
11
10
00
01
10
10
00
10
10
10
01
00
10
10
00
00
10
11
01
01
01
10
11
00
10
10
01
00
11
00
01
11
11
00
11
11
00
11
10
01
00
11
10
01
11
10
10
10
00
01
00
11
11
10
01
10
00
00
00
00
00
11
11
11
10
10
00
00
10
10
11
10
11
11
10
00
10
00
00
10
10
01
00
01
00
10
11
10
00
01
10
10
01
10
10
00
00
11
00
10
00
01
10
01
10
01
10
00
00
00
00
11
10
01
01
10
01
00
00
10
10
10
11
11
01
00
00
10
10
01
10
00
00
00
10
00
00
10
00
01
00
11
01
10
10
10
11
11
01
00
10
11
01
00
01
10
10
00
00
00
01
00
10
11
00
01
00
11
10
10
00
00
10
00
00
10
11
10
01
10
10
10
00
00
00
10
00
10
10
10
11
10
00
00
01
11
11
00
11
00
10
11
10
00
00
10
10
10
01
00
00
10
11
11
11
00
10
00
00
01
01
01
10
00
11
00
11
00
01
10
10
10
10
00
00
10
10
00
01
11
10
01
10
01
01
11
00
11
10
00
11
10
10
00
10
00
10
11
10
11
10
01
11
11
00
00
10
10
10
01
00
11
11
00
10
10
11
10
10
00
00
10
11
10
10
11
00
01
11
00
10
10
00
01
00
11
11
10
11
11
00
01
11
11
11
01
00
00
11
11
01
01
11
10
10
11
00
11
10
00
01
10
10
10
01
00
00
10
10
00
10
11
00
01
11
00
00
10
00
01
10
11
01
01
00
00
00
00
01
00
01
10
10
11
00
11
10
00
01
10
10
10
00
00
00
00
11
01
01
10
01
11
10
00
00
00
10
10
00
00
10
00
10
11
00
10
01
10
00
00
00
10
11
01
10
00
00
00
11
00
01
10
00
01
10
01
10
11
00
00
00
10
10
00
00
11
00
00
10
00
00
11
00
00
00
00
00
00
10
11
00
01
10
11
00
00
01
00
10
10
11
00
11
10
01
10
10
00
10
01
00
10
10
00
00
11
10
01
10
10
11
10
00
10
10
00
01
00
10
10
01
11
10
00
00
11
10
01
10
10
10
10
00
10
00
10
00
10
00
00
00
10
00
00
00
10
10
00
10
00
00
11
10
00
00
11
10
01
00
01
00
10
00
01
10
11
00
10
00
00
11
10
10
01
10
11
11
01
11
10
01
10
00
00
00
10
10
00
11
00
00
01
11
01
00
10
11
11
00
00
00
11
00
00
01
01
10
10
10
01
00
11
10
00
10
10
10
10
00
01
00
10
10
00
10
11
11
11
11
00
00
00
10
10
00
01
10
00
10
11
00
00
10
00
10
10
00
00
00
11
10
01
00
00
11
10
10
11
01
00
00
00
00
01
10
11
10
11
10
00
10
11
01
00
01
11
00
10
00
11
00
01
10
01
11
10
10
00
10
10
00
00
01
10
01
10
10
11
00
00
10
10
00
00
11
10
10
11
10
00
11
10
01
00
00
11
10
10
00
11
10
00
11
10
10
00
00
10
10
00
00
00
10
01
01
10
01
01
00
10
00
11
11
11
00
00
10
10
01
00
01
10
11
10
00
00
10
10
00
00
10
10
00
10
11
10
00
11
10
00
10
00
10
00
00
11
11
10
10
10
11
00
01
10
01
00
10
00
10
10
00
10
10
01
01
00
10
00
11
00
10
10
01
00
10
10
10
00
10
11
00
11
01
11
11
00
10
11
01
00
00
11
11
11
10
10
10
10
11
00
01
11
00
00
00
00
10
11
01
01
10
11
10
01
10
00
10
10
00
01
01
00
01
10
10
10
10
11
01
01
11
10
01
10
00
00
10
10
00
01
11
10
00
11
00
01
10
10
10
01
10
00
00
10
10
01
10
00
00
01
01
11
10
10
01
10
10
00
10
10
00
01
10
10
00
11
10
11
10
00
00
11
01
00
00
10
10
00
00
00
10
11
10
11
10
11
00
01
01
10
00
10
00
00
01
11
11
01
00
00
11
00
11
00
01
10
10
00
10
10
00
01
10
10
01
11
00
01
11
10
00
11
10
10
10
00
10
10
10
10
10
01
10
00
01
00
00
11
11
11
11
01
00
01
01
10
00
00
10
10
01
01
11
01
10
10
10
00
00
00
00
10
00
10
11
10
00
10
11
10
00
10
10
11
00
00
10
01
00
10
01
00
00
00
10
10
00
00
00
11
01
10
11
11
10
11
11
10
01
01
10
00
00
00
10
01
00
11
01
00
00
01
01
10
10
00
11
10
10
01
00
10
10
10
10
10
00
00
00
11
00
10
10
00
00
00
00
10
10
00
00
10
00
01
00
00
10
10
01
00
10
00
00
11
11
11
01
00
10
10
11
10
01
00
01
01
00
01
10
01
11
11
01
10
10
00
00
10
01
11
10
10
00
01
00
00
11
00
00
11
01
11
00
00
00
00
11
10
00
00
10
00
01
01
00
11
00
10
11
01
10
00
01
10
10
11
11
01
10
00
00
11
11
10
00
10
00
10
00
00
11
00
00
11
11
10
11
01
10
10
01
11
00
01
00
01
10
10
01
11
00
10
11
00
10
01
10
10
00
00
00
00
10
01
11
00
01
10
00
00
00
10
11
00
01
10
10
10
00
11
01
00
11
00
00
00
10
00
00
11
10
01
00
10
01
00
10
11
01
00
11
01
10
10
10
00
01
00
00
10
11
11
00
10
10
10
01
00
11
11
00
00
01
10
00
00
10
10
00
11
00
11
10
00
11
00
00
00
00
00
01
11
11
11
10
10
00
10
00
01
11
11
11
01
00
10
00
01
00
00
10
11
01
10
11
01
11
00
11
01
01
10
10
01
10
10
00
00
10
11
11
11
11
10
01
00
00
00
11
11
00
10
10
11
10
10
11
11
00
10
10
01
10
11
10
10
01
00
01
10
10
00
01
01
10
10
00
11
00
11
10
00
01
10
10
10
01
00
01
10
10
00
01
00
01
00
10
10
11
00
00
10
01
00
10
10
10
01
01
10
10
00
00
00
10
10
00
00
10
10
00
11
00
00
10
00
10
10
11
00
10
11
10
10
00
00
01
00
00
10
10
11
00
01
10
00
00
11
00
00
00
01
11
00
01
11
11
01
11
10
10
11
01
11
11
00
11
10
01
00
00
11
01
01
11
01
01
10
10
11
11
00
01
10
10
10
11
00
10
10
10
10
01
11
10
00
01
01
10
00
11
10
10
00
00
10
00
10
11
10
11
10
10
11
01
00
10
01
00
00
00
00
11
10
01
00
01
11
00
10
11
10
00
00
10
10
01
00
00
01
00
11
10
11
00
00
00
10
00
00
00
11
00
10
10
00
01
01
11
00
11
00
11
10
10
10
01
00
11
00
10
10
00
00
00
01
10
00
00
11
00
00
11
10
10
10
01
00
10
10
00
00
00
10
11
01
10
00
00
01
00
10
01
01
10
11
10
00
01
00
11
01
00
10
10
00
00
10
00
11
10
00
11
01
01
10
10
11
10
00
01
10
00
10
10
10
00
10
11
10
10
10
11
10
11
01
01
11
10
10
00
10
10
01
00
00
10
00
11
00
10
10
00
01
10
11
10
10
10
11
10
00
10
10
00
10
00
00
10
00
00
01
00
00
10
10
10
00
10
01
01
10
01
10
00
10
10
01
01
11
01
11
11
01
00
11
00
01
10
11
00
01
11
11
00
11
10
01
00
10
10
10
01
11
10
01
01
10
10
10
10
00
11
01
10
10
00
00
01
00
00
10
00
11
11
00
00
11
10
11
00
10
10
11
00
00
11
10
01
00
00
10
00
00
10
11
00
11
10
10
11
01
10
11
00
01
00
00
10
10
00
00
11
10
01
00
00
00
10
00
01
00
11
10
00
10
01
11
00
00
11
11
11
01
01
00
01
01
00
10
11
10
01
11
01
10
11
01
00
00
10
00
10
10
01
10
10
00
00
10
00
01
01
11
11
01
00
10
10
00
01
10
00
11
10
00
00
10
10
11
01
00
11
10
10
10
01
00
01
10
10
11
10
01
10
11
10
01
00
10
10
00
00
10
00
11
11
00
01
00
11
00
11
11
00
10
01
11
10
01
00
11
00
10
11
10
01
11
01
01
01
00
00
00
10
00
00
10
10
10
10
00
10
01
11
01
00
00
10
01
11
11
10
00
10
10
01
00
10
10
00
00
00
01
10
00
01
10
00
10
00
10
01
11
11
01
01
11
10
01
00
00
10
11
00
00
11
10
00
00
10
00
00
10
11
10
00
00
10
11
10
01
00
11
10
00
11
00
00
11
10
01
00
10
11
00
01
10
11
00
10
00
10
00
10
00
00
10
11
10
00
01
10
10
01
00
01
00
10
10
00
11
00
00
11
00
11
01
11
00
11
00
01
00
10
01
11
11
00
00
10
00
10
00
11
10
11
10
00
00
11
00
00
01
10
11
11
11
00
10
10
01
10
10
00
00
10
10
01
10
11
00
10
10
00
11
01
10
11
01
10
00
10
10
10
10
00
10
01
10
10
00
10
00
01
10
11
10
10
10
00
10
10
11
01
00
00
10
01
11
00
11
11
10
10
10
00
10
11
00
01
10
00
11
10
11
10
10
00
11
00
11
00
00
01
11
00
01
11
11
10
00
01
11
01
10
00
00
10
10
10
10
00
10
11
10
10
00
11
10
10
11
00
10
11
00
01
10
00
01
10
10
10
00
00
00
00
10
00
01
00
00
10
00
00
10
10
00
10
10
10
00
00
10
10
00
10
10
01
00
11
10
11
11
00
00
10
00
00
11
00
11
00
10
10
00
00
10
10
00
00
10
11
01
10
10
00
00
11
10
00
10
10
00
10
10
00
00
10
11
10
10
00
10
11
00
00
10
00
01
11
10
01
01
11
10
01
00
00
10
10
11
00
10
11
11
10
11
00
10
10
01
10
11
01
00
00
01
01
11
10
00
01
10
00
01
01
10
00
10
00
10
10
10
10
10
00
11
10
11
10
10
01
00
10
11
00
00
00
11
01
01
11
01
10
10
00
10
10
10
00
11
10
00
11
10
11
00
00
10
01
00
00
00
11
00
11
00
10
10
10
10
00
11
11
01
01
00
11
00
10
00
00
10
11
00
10
00
00
11
01
10
10
01
00
11
00
11
11
11
11
11
11
00
00
11
01
00
10
10
00
00
10
00
00
11
10
00
11
01
10
10
00
10
01
10
11
00
01
10
00
00
01
01
10
11
11
10
00
00
10
11
10
00
00
10
10
10
11
10
10
00
10
01
11
01
10
01
01
10
01
00
00
10
10
10
00
11
10
01
01
11
11
01
00
01
10
10
00
00
10
11
10
00
00
10
00
01
00
10
00
11
11
10
11
00
00
00
11
11
01
00
10
00
00
10
11
00
10
01
00
00
10
01
00
10
11
00
01
11
11
11
00
00
10
01
11
00
00
11
10
00
10
00
10
00
10
10
10
00
01
00
01
00
00
10
11
01
00
00
11
10
11
01
00
00
10
10
11
10
00
10
10
01
01
01
10
00
00
00
10
10
01
00
00
01
10
00
00
10
10
10
01
10
00
10
10
00
10
11
00
10
10
00
00
10
11
11
00
10
10
01
00
10
00
01
11
10
10
10
10
10
11
01
10
00
11
00
00
10
00
11
00
10
10
11
11
00
00
00
00
10
01
00
10
11
00
01
10
10
00
11
11
00
10
11
00
11
00
00
10
11
11
11
00
00
10
11
01
11
10
00
10
00
00
10
00
01
11
00
10
10
10
00
10
11
01
00
10
11
11
10
11
00
10
00
10
10
11
01
00
11
10
01
01
10
00
10
10
00
11
11
10
11
00
01
10
00
11
01
00
00
10
10
01
10
00
00
01
00
01
10
01
00
00
10
00
10
10
00
00
10
10
00
10
10
01
11
00
11
10
00
10
11
01
00
11
10
01
10
00
00
10
00
10
00
10
10
01
10
00
10
11
00
10
01
10
10
00
10
00
01
01
10
10
00
00
10
00
00
10
00
00
10
10
11
00
10
11
00
00
00
10
10
00
00
11
10
10
00
10
00
00
10
10
10
00
11
01
01
10
01
00
00
11
00
10
10
00
10
10
10
10
01
00
00
10
00
11
10
11
01
00
00
10
10
10
10
00
00
10
11
01
10
00
01
11
00
00
10
10
10
00
01
11
00
00
01
10
11
00
00
11
00
10
11
00
00
00
01
10
11
00
01
00
01
11
10
00
00
10
11
01
11
10
00
01
10
10
10
10
00
10
01
00
10
01
00
01
10
01
10
10
00
00
00
10
00
10
00
10
00
00
11
00
00
10
11
11
01
00
00
10
00
00
10
11
10
00
10
10
11
10
00
00
00
01
11
10
00
11
00
00
00
10
00
01
01
00
10
00
00
10
00
11
11
00
01
01
10
00
00
10
10
01
00
10
00
00
00
11
11
01
00
00
11
01
00
10
10
01
10
01
01
10
10
00
10
00
00
10
00
00
10
00
10
11
11
11
00
11
10
00
01
10
00
00
00
11
10
00
10
00
00
01
11
01
10
10
10
10
00
10
10
00
10
10
10
00
00
01
10
00
10
00
11
10
10
01
00
01
01
00
11
11
11
00
10
10
01
00
01
10
11
11
00
01
01
11
10
00
10
11
01
10
10
00
10
10
10
00
00
11
00
01
11
00
11
01
10
10
00
01
01
10
00
10
10
01
00
01
01
10
10
00
11
00
11
10
00
10
00
11
10
11
01
11
10
10
01
01
00
10
11
01
01
10
11
11
00
00
10
11
01
00
10
00
10
01
00
10
11
10
11
00
00
10
10
00
00
10
01
01
00
00
10
00
10
10
00
00
10
10
00
10
00
11
00
00
11
10
11
01
10
00
10
10
00
10
10
11
11
10
10
00
00
00
01
01
00
00
11
00
00
01
10
10
11
00
11
00
00
00
10
00
10
10
00
10
00
10
00
01
11
01
01
10
10
10
10
00
10
10
00
10
11
01
00
00
11
10
00
00
00
00
00
10
01
01
00
10
00
10
11
10
10
00
11
11
10
11
00
01
00
10
10
10
00
11
10
01
01
01
01
10
10
00
11
10
10
00
00
00
00
10
01
10
00
11
00
01
11
01
10
00
01
10
00
00
00
00
11
00
10
10
11
10
01
11
00
00
10
00
10
00
01
11
10
00
10
01
01
00
01
10
10
00
11
10
10
01
01
11
00
00
10
00
00
00
01
10
10
00
11
10
00
10
10
00
11
00
00
00
10
00
00
10
10
00
00
10
00
10
00
10
00
11
00
00
01
00
10
01
00
10
01
00
01
01
10
10
00
10
11
00
10
01
00
00
10
00
01
10
10
11
10
11
00
00
10
01
00
01
00
10
10
00
11
00
11
11
00
11
00
10
11
00
01
11
10
01
00
00
01
10
11
00
00
10
00
01
00
10
11
01
00
00
00
10
11
10
00
10
01
00
00
00
00
01
11
00
11
10
01
10
11
00
11
11
01
00
10
10
00
00
10
01
00
11
10
01
00
00
10
00
01
10
11
00
00
01
00
00
10
11
00
11
00
10
00
00
00
11
10
00
10
10
11
01
00
10
00
10
10
10
00
00
10
10
00
00
00
00
10
00
10
01
10
10
10
10
00
10
00
01
00
11
10
10
10
11
10
00
10
11
10
10
10
10
01
10
01
00
10
10
00
01
10
00
00
10
10
00
00
11
11
11
10
10
00
00
10
10
10
01
01
11
10
10
00
11
00
11
00
00
01
00
10
10
11
00
10
10
10
11
00
00
00
11
10
01
10
10
11
01
10
11
00
00
10
01
01
11
01
01
10
11
00
01
00
00
11
11
11
00
00
11
10
10
00
00
10
00
11
10
00
10
00
11
10
00
11
11
11
11
11
01
00
00
10
01
01
11
10
00
01
10
00
00
10
00
00
11
00
10
10
01
11
11
00
11
11
00
10
10
00
10
11
00
00
10
10
00
10
10
01
00
10
10
10
00
10
10
00
01
01
10
10
01
00
11
01
00
10
00
11
10
11
01
01
10
11
10
10
01
00
10
10
00
00
00
10
10
01
00
11
10
01
00
10
10
10
01
00
01
11
00
10
01
00
10
10
00
00
11
00
10
00
00
10
10
11
00
10
10
10
11
00
10
11
00
11
10
00
11
00
00
11
11
01
00
00
11
10
11
10
00
00
00
00
10
11
00
01
10
10
11
01
01
01
00
10
10
01
10
11
01
00
10
10
10
01
10
10
01
10
00
00
10
00
11
11
00
11
11
10
00
01
10
00
00
10
00
00
10
10
01
00
11
00
10
11
10
00
10
01
00
10
10
01
11
01
00
11
10
11
10
01
00
01
00
11
11
01
10
11
00
00
10
10
01
00
10
10
01
01
01
00
10
11
01
00
00
00
11
00
00
00
10
00
00
11
01
00
10
10
00
10
10
10
10
11
01
00
10
00
00
11
01
01
10
10
00
10
00
10
01
00
11
10
00
01
10
01
00
10
00
11
10
11
10
00
00
10
00
11
00
00
00
00
10
11
00
10
10
00
00
11
10
00
00
11
00
01
10
00
10
01
00
10
00
11
00
00
11
00
11
00
10
10
10
01
10
01
00
11
10
01
00
10
10
01
01
11
10
01
10
00
00
01
11
10
11
11
00
01
01
10
11
01
10
10
01
00
01
11
10
10
00
10
10
11
01
00
01
10
10
11
00
11
10
10
00
01
10
10
10
00
10
00
11
10
11
00
00
11
10
01
00
01
10
01
10
01
10
11
10
00
10
11
01
10
10
00
10
00
11
00
00
01
10
00
00
11
10
11
10
00
10
11
01
11
00
00
01
10
11
01
10
00
10
11
10
01
10
11
00
00
00
11
00
01
10
10
00
01
10
10
10
01
00
01
00
10
11
00
01
10
10
10
00
01
00
11
10
00
11
00
00
11
10
00
10
01
00
10
01
11
11
01
11
00
11
00
10
00
00
10
10
00
01
11
00
10
00
00
00
00
10
00
01
10
10
10
10
00
01
00
00
10
10
00
00
00
10
01
01
11
01
00
10
10
00
00
10
10
01
00
00
00
01
10
10
10
10
00
01
10
10
00
00
00
10
11
11
00
10
10
10
10
11
00
10
11
10
11
10
00
00
00
10
00
10
10
10
10
00
01
00
01
10
01
00
00
11
10
00
00
00
10
10
01
10
10
10
00
10
00
10
01
00
11
00
10
10
11
11
00
11
10
00
00
10
10
00
01
11
00
10
10
10
00
01
00
01
00
00
10
00
01
00
10
10
00
00
00
11
00
10
10
01
00
00
10
00
10
00
01
00
01
10
00
00
10
00
10
11
01
00
10
10
00
10
01
00
10
10
11
11
00
00
11
01
11
00
10
00
01
10
01
01
01
11
10
10
01
10
11
10
00
00
10
01
00
10
10
10
00
10
10
01
01
01
00
10
11
10
10
00
00
10
01
01
01
00
10
00
00
00
01
10
10
01
01
00
01
01
10
00
01
11
01
01
11
11
11
10
10
01
01
10
10
00
00
11
01
01
01
00
11
10
00
00
10
11
11
00
00
00
00
00
10
11
00
00
10
10
11
10
11
00
11
00
00
11
10
10
10
01
01
11
10
10
10
00
10
10
00
00
10
11
00
11
00
00
10
10
00
10
11
00
11
10
11
11
00
10
01
00
00
00
10
01
10
11
00
01
00
10
10
10
00
10
00
00
11
01
10
00
01
11
00
00
10
10
01
00
10
10
01
00
00
00
00
00
00
11
11
11
10
00
10
10
11
10
01
01
10
00
00
11
10
11
00
10
11
00
10
10
10
10
10
00
00
10
00
00
00
11
00
01
00
01
00
10
11
01
10
10
00
00
10
11
00
00
00
01
10
11
11
10
11
00
01
00
11
01
00
11
00
10
01
00
10
10
11
00
00
11
10
11
00
11
11
11
01
01
00
10
10
11
10
00
01
10
10
01
10
10
10
01
01
10
10
00
01
00
10
11
10
01
10
00
01
11
10
11
00
00
11
10
00
00
11
11
01
00
10
10
00
10
10
10
01
00
10
11
00
10
01
00
10
10
01
10
01
10
01
10
10
00
10
00
00
00
10
10
00
11
10
00
11
00
00
00
11
00
10
01
00
00
10
00
01
00
11
11
10
10
10
10
10
10
01
00
01
10
11
10
10
10
11
00
00
00
10
00
11
11
10
01
10
01
00
00
01
00
11
10
00
10
00
00
10
10
00
00
00
00
11
01
10
00
10
00
01
00
11
10
00
10
10
10
00
10
11
00
00
10
10
00
00
01
00
10
00
00
00
01
10
11
10
10
01
01
11
00
01
10
11
10
00
10
11
01
10
00
00
01
00
01
10
10
11
11
00
00
10
11
00
10
00
00
10
01
11
00
11
10
00
11
00
11
00
00
11
11
01
00
00
11
10
01
00
11
10
10
01
00
10
00
10
11
00
11
00
10
00
11
01
10
01
01
10
01
00
11
11
10
00
10
11
01
00
11
10
00
01
10
10
00
01
00
00
00
01
00
01
10
10
00
00
01
10
11
10
10
00
00
00
10
10
00
01
10
11
00
01
01
01
00
11
10
00
11
01
00
10
10
01
00
01
10
01
10
10
01
10
10
00
11
10
00
01
00
10
11
01
10
00
00
10
10
00
00
00
11
10
00
10
10
10
10
11
00
10
11
10
00
01
00
00
00
00
11
00
11
10
10
01
00
00
01
00
10
00
00
10
01
01
10
01
10
10
00
10
11
10
00
01
10
10
01
10
00
10
10
00
11
00
01
10
11
00
10
10
00
00
10
00
10
11
00
11
11
01
10
01
10
10
00
00
10
10
00
00
11
10
10
00
00
11
00
10
01
01
10
00
00
11
00
01
10
10
00
01
00
10
01
00
00
10
00
01
11
10
10
01
00
10
11
10
00
00
11
00
11
00
00
11
01
01
01
00
10
11
00
00
11
10
01
11
11
00
10
00
10
10
00
01
10
10
01
11
01
10
10
10
00
10
10
00
00
10
10
00
00
11
01
10
10
10
00
00
00
01
10
10
00
00
00
00
01
10
11
11
10
11
10
11
11
00
00
10
10
00
10
10
00
01
10
11
10
11
10
01
00
01
10
10
11
00
00
11
10
00
01
00
00
11
11
01
00
10
11
10
00
00
00
11
10
01
00
11
01
11
10
00
00
10
10
00
01
10
00
00
00
10
00
10
10
01
01
00
01
00
00
10
10
11
00
00
10
00
01
11
00
10
10
10
10
00
00
00
00
10
11
10
00
10
01
00
10
00
10
00
00
10
10
10
10
00
01
00
00
01
10
01
01
10
10
11
10
00
00
00
00
10
10
00
10
00
11
10
01
11
00
00
01
11
10
10
00
10
00
00
10
11
10
00
01
10
00
11
11
10
00
00
11
01
11
01
11
01
10
10
00
00
10
10
00
10
10
00
10
11
00
11
11
10
00
11
11
11
00
01
00
00
10
10
10
10
10
00
01
01
00
00
00
01
10
10
00
10
00
01
11
01
10
10
11
10
01
11
10
01
11
11
00
10
01
00
11
00
00
11
11
00
10
11
00
11
11
00
10
11
00
01
00
11
00
11
10
00
00
10
10
00
00
10
11
00
10
00
10
10
01
10
00
00
00
00
00
00
10
00
11
00
10
10
01
00
00
01
10
10
00
01
01
01
11
11
00
10
11
10
10
00
10
10
01
10
01
10
10
10
10
00
01
01
11
10
10
10
11
10
00
00
10
10
10
10
00
00
01
00
10
11
01
00
10
10
10
10
10
00
00
00
10
11
10
00
01
11
10
10
10
01
00
10
01
00
01
10
11
10
01
10
10
01
01
10
10
10
00
10
10
10
00
00
01
10
00
10
00
10
10
01
10
00
10
00
01
01
11
01
00
00
00
00
01
11
10
11
10
10
11
01
01
11
00
11
10
10
01
00
10
10
00
10
11
00
10
10
00
01
11
10
00
10
10
01
11
10
10
10
00
00
00
10
10
10
01
10
10
10
00
00
00
10
01
10
11
11
01
00
00
11
00
00
10
00
11
00
00
10
11
01
01
00
10
00
01
00
01
11
00
01
00
10
01
00
10
00
11
11
00
10
10
10
10
10
00
10
11
01
10
10
11
11
10
10
11
11
00
00
00
01
10
11
10
10
00
01
00
00
11
10
11
01
11
01
00
11
01
00
10
10
00
01
10
10
10
01
11
00
00
10
10
00
10
11
01
00
00
00
00
10
10
00
10
00
10
00
11
00
10
00
00
11
01
10
10
00
01
00
10
00
00
10
10
01
10
00
01
11
01
00
11
10
00
00
10
00
01
10
11
10
10
01
10
10
10
00
01
00
01
10
01
11
10
11
00
00
11
10
11
00
10
01
11
10
11
00
10
11
10
01
01
11
11
00
11
01
00
10
10
11
10
00
01
00
10
10
00
10
01
11
10
10
00
01
10
10
01
01
10
00
10
11
00
01
01
01
10
00
10
11
11
00
10
10
00
10
10
10
00
11
00
10
00
01
10
10
10
01
00
01
01
11
10
01
00
10
00
00
11
10
01
00
11
00
01
00
10
11
00
00
11
10
01
00
00
01
10
11
11
10
01
00
10
10
10
00
00
01
10
10
10
01
11
10
00
10
00
10
10
00
10
00
00
01
10
10
01
00
10
10
01
11
00
10
10
11
01
00
10
01
00
00
10
11
11
00
10
10
00
00
01
10
01
10
11
01
11
00
00
01
01
11
11
11
11
10
01
00
01
11
10
11
00
10
10
00
01
10
10
00
00
10
00
01
10
10
01
00
00
10
01
00
01
00
00
10
11
10
00
10
01
00
10
01
11
10
00
00
10
10
00
00
00
11
00
00
10
00
01
01
00
10
10
00
00
00
10
01
10
10
00
00
10
11
01
00
11
00
01
10
11
10
10
00
01
10
10
10
10
00
10
10
00
01
11
01
11
11
01
00
00
00
10
10
00
00
11
01
01
10
00
10
00
01
01
01
01
00
11
01
01
11
00
10
11
10
11
11
00
00
00
10
00
00
01
10
00
00
10
00
01
10
11
00
01
10
11
00
11
00
10
10
10
00
01
01
10
00
10
00
10
01
01
01
11
10
10
00
00
00
10
10
00
01
10
11
00
00
00
01
11
01
10
10
00
11
00
00
10
11
00
10
00
10
11
00
11
00
00
00
01
10
10
10
00
10
00
00
00
10
00
01
10
01
10
11
01
01
10
00
00
01
11
10
00
10
10
00
11
11
00
00
01
00
00
11
00
00
10
10
00
10
01
00
10
10
10
11
10
00
11
11
01
00
00
00
00
10
01
11
10
10
11
00
01
00
10
10
11
11
01
01
01
00
11
00
01
00
11
00
01
10
10
11
00
10
10
00
00
10
10
11
10
01
10
10
01
10
10
00
00
10
11
00
10
01
10
00
01
01
01
10
01
00
11
00
00
10
10
01
00
00
11
11
00
00
11
00
00
11
10
10
10
10
00
00
11
10
10
01
00
10
11
11
01
01
10
00
00
11
11
10
00
11
01
11
00
11
10
01
01
00
01
11
10
01
00
00
11
11
01
00
11
10
10
00
00
10
10
00
01
10
11
10
01
10
00
00
11
00
10
10
00
11
10
01
00
10
11
00
10
11
00
00
10
00
10
10
11
01
01
00
10
11
00
10
10
10
01
01
01
10
10
10
01
10
00
10
10
00
00
10
00
10
10
00
01
10
10
10
00
11
00
10
11
10
00
10
10
01
11
00
00
00
00
11
00
11
11
10
00
00
11
00
01
01
11
11
00
00
10
10
01
10
11
00
00
01
01
10
00
01
10
01
00
10
00
11
10
10
11
00
00
00
10
10
10
01
11
00
10
10
00
10
00
11
00
00
10
00
00
10
01
01
10
01
11
11
10
10
10
00
00
01
00
10
00
00
00
00
10
10
11
00
10
10
00
11
01
11
10
10
10
01
11
10
01
00
11
11
10
00
00
10
10
11
01
00
11
11
01
00
10
00
00
10
11
11
00
00
10
10
10
10
10
00
10
11
10
01
10
10
01
00
00
10
00
11
00
00
10
00
00
11
11
01
10
10
10
00
10
11
01
00
01
10
10
11
01
10
00
11
10
11
00
00
11
01
01
00
00
10
00
00
10
10
01
01
10
11
00
01
00
11
10
10
11
00
10
10
10
10
10
11
00
00
10
00
00
11
10
01
10
10
11
01
10
10
00
00
10
01
10
10
11
00
11
00
10
10
10
10
10
00
00
10
01
10
00
01
10
00
01
01
10
10
10
10
01
10
11
01
00
10
00
10
00
10
10
10
11
11
01
00
00
01
00
10
10
01
00
11
10
00
10
01
10
01
10
11
10
00
00
00
00
10
10
00
00
11
11
10
10
00
00
00
11
10
11
01
00
01
10
00
01
00
10
10
11
00
00
10
10
10
10
11
01
00
00
10
10
11
10
01
01
10
01
10
11
11
10
00
10
00
10
01
00
10
10
00
10
11
01
10
10
00
10
10
00
00
10
01
00
11
10
10
11
01
00
10
00
01
00
00
10
00
00
01
11
01
10
10
00
00
11
10
00
10
00
01
10
00
11
01
00
00
10
10
00
00
00
10
01
10
00
10
11
10
10
10
00
01
10
00
00
10
10
01
11
10
00
11
11
01
00
00
10
00
10
10
01
01
10
10
10
01
10
01
10
10
11
00
10
00
01
10
11
00
11
01
00
10
10
00
00
10
11
10
00
00
00
00
10
10
00
01
11
00
10
11
00
00
01
10
10
01
10
00
00
00
00
01
00
10
00
01
00
11
00
11
10
00
10
10
10
00
01
10
01
01
10
01
01
00
00
10
00
01
10
11
11
10
10
01
01
10
00
11
00
00
01
00
11
10
11
11
11
01
10
00
01
01
00
10
10
00
10
10
10
10
00
10
01
10
10
10
01
10
10
00
00
01
10
10
01
10
11
10
00
00
10
00
00
10
00
01
11
00
10
10
10
01
01
10
01
11
00
10
00
00
10
10
00
10
10
00
00
10
11
00
00
10
10
10
10
11
00
00
10
01
11
01
11
00
10
10
10
11
00
00
10
10
10
01
00
10
00
00
00
00
10
11
01
00
01
11
10
10
00
01
00
01
11
11
10
00
00
10
10
00
01
10
10
00
01
00
00
00
11
00
00
10
00
00
00
10
10
00
00
11
11
00
10
00
10
00
00
00
11
10
00
10
01
00
10
00
10
10
10
01
01
10
10
01
01
00
11
00
10
00
10
11
00
10
10
10
10
00
00
01
00
10
10
01
00
11
01
00
11
10
01
11
10
00
01
00
11
00
01
10
00
00
00
00
10
10
10
10
01
11
11
11
01
01
01
10
10
00
01
00
10
10
10
00
10
00
00
10
00
00
10
10
10
11
00
01
10
10
00
10
00
00
10
10
10
11
00
00
00
10
10
00
01
00
11
00
00
01
11
00
01
10
10
11
01
01
01
00
10
10
11
01
11
00
10
10
00
00
00
10
10
00
10
10
10
00
10
01
01
10
01
00
11
00
11
10
11
10
10
11
01
01
01
11
11
11
01
11
10
01
00
10
11
01
01
10
01
00
00
10
10
00
10
10
01
00
00
11
10
01
01
01
11
01
00
00
10
10
10
00
10
10
01
01
00
00
10
01
00
01
11
10
10
10
10
00
00
11
00
10
10
00
10
10
00
00
10
10
00
01
00
01
00
01
00
11
01
11
10
00
10
00
10
10
10
00
10
00
00
01
10
10
10
11
10
01
10
01
00
10
11
10
01
10
11
10
01
10
11
10
01
10
00
11
11
00
00
00
10
10
10
11
01
01
00
11
00
00
01
00
11
11
11
00
11
10
10
11
00
11
11
00
00
01
00
11
00
00
00
10
10
00
10
10
00
00
10
10
10
11
11
01
10
11
01
01
11
01
10
11
10
00
00
00
11
10
00
10
10
10
10
00
01
01
10
00
00
01
11
10
10
00
00
10
10
10
10
01
00
00
00
10
10
11
01
10
10
00
10
00
00
01
00
10
10
00
11
10
01
00
10
10
10
00
11
00
00
11
10
10
10
10
11
10
01
01
10
01
00
01
10
10
00
01
11
10
00
10
01
01
11
10
00
00
10
00
11
10
01
11
10
00
00
00
11
00
11
10
00
10
10
00
11
10
00
01
11
00
10
01
11
11
00
10
00
00
10
10
10
01
00
10
00
00
00
01
00
10
10
00
10
00
00
00
10
00
00
10
10
00
01
00
01
00
10
10
00
01
10
10
01
00
11
01
00
10
10
10
10
00
00
10
10
00
01
11
01
01
01
01
11
01
00
10
10
01
00
00
10
00
00
10
11
10
11
10
01
01
01
10
10
11
10
00
00
10
01
10
11
11
01
01
00
01
11
11
00
00
10
10
01
10
11
00
11
11
00
11
11
01
10
11
01
01
00
10
10
11
10
00
10
10
10
00
10
00
10
00
10
01
00
11
10
00
10
10
10
10
10
01
00
10
10
01
10
00
01
01
00
11
10
10
00
00
11
10
10
01
00
10
10
10
10
01
00
00
10
01
00
00
11
11
01
01
00
10
10
10
01
10
11
01
00
00
00
11
11
11
00
00
00
11
11
10
11
00
00
10
11
11
10
01
00
01
01
01
10
10
00
10
11
00
00
11
10
01
11
00
10
01
01
00
11
10
01
00
10
00
01
00
10
00
00
10
11
00
00
10
10
10
00
11
01
11
10
01
00
11
10
10
01
00
11
01
11
11
00
00
01
00
10
10
11
11
00
00
10
01
00
01
10
10
00
10
10
10
00
01
01
10
01
11
11
11
00
00
00
11
10
00
00
10
10
00
01
00
00
10
00
10
10
10
10
01
10
01
10
01
00
11
10
11
01
00
00
10
00
10
00
00
10
10
00
11
00
00
10
10
01
00
10
01
00
01
11
01
10
11
10
01
10
10
11
10
10
00
00
10
00
10
10
00
10
10
00
11
00
01
11
00
11
01
10
11
10
00
10
00
00
00
01
10
01
10
10
10
00
00
00
10
10
00
00
01
01
10
10
00
00
00
10
10
00
01
10
11
00
10
00
00
00
00
11
10
11
00
01
01
01
10
11
10
10
11
00
00
10
01
00
11
10
10
00
01
00
10
00
00
00
11
10
00
10
10
01
11
00
00
10
11
10
10
01
10
11
00
11
00
10
00
11
11
00
10
00
00
11
01
10
11
00
01
00
10
00
00
00
00
00
10
11
11
00
11
00
00
00
00
01
10
00
00
01
00
00
10
11
00
01
10
10
00
11
01
00
00
11
10
10
01
00
10
11
00
00
00
01
00
10
11
11
10
00
00
10
00
01
10
11
00
10
10
11
00
11
10
00
00
10
00
00
10
10
11
10
10
00
10
10
01
10
00
10
00
01
01
00
10
10
00
11
11
01
00
00
10
10
01
10
10
00
01
00
10
01
00
00
11
11
01
10
01
10
01
10
00
11
00
10
01
10
00
01
00
01
10
00
10
11
10
10
11
01
10
00
10
10
10
00
00
10
10
11
00
00
10
10
00
00
11
10
00
00
01
00
01
11
11
11
01
01
10
11
00
00
11
11
10
00
00
10
00
10
01
00
11
11
10
10
10
10
00
10
11
00
00
10
01
00
01
10
00
10
00
10
10
00
00
00
00
00
00
10
10
00
01
10
00
10
10
00
00
01
10
10
00
00
11
00
11
00
01
10
11
11
11
01
00
10
10
00
00
10
00
00
01
00
01
10
00
00
10
00
00
10
11
00
11
00
10
01
00
01
01
00
10
10
00
10
10
00
11
10
01
00
10
11
00
00
01
00
11
10
00
10
10
00
10
11
00
01
00
11
11
11
10
11
00
01
11
10
10
00
10
11
10
11
01
10
10
01
00
10
01
00
10
10
11
01
00
10
10
11
01
00
00
00
00
11
10
10
10
10
00
11
00
00
11
00
11
10
11
10
10
01
11
00
01
00
10
01
10
00
01
11
11
10
00
00
00
00
00
01
10
10
11
10
00
00
00
10
00
10
01
10
00
00
01
10
10
01
00
00
00
10
11
00
01
00
10
11
01
10
00
11
10
01
00
10
10
00
00
11
10
01
00
11
01
01
10
00
10
00
10
10
00
00
00
10
10
01
11
00
01
11
10
10
01
01
00
00
00
11
11
00
00
01
11
10
10
01
10
10
00
00
00
11
11
11
00
10
00
01
01
10
11
01
11
01
01
01
10
10
00
11
11
01
11
00
01
10
11
00
00
10
00
10
11
10
00
10
10
01
11
11
11
10
00
00
10
11
01
00
01
10
10
11
00
00
01
10
10
10
11
10
00
10
10
00
11
10
00
01
10
10
00
00
00
11
10
11
10
01
00
10
11
00
10
10
01
10
10
01
11
00
00
11
00
10
10
10
10
00
00
10
00
00
10
00
01
10
10
00
10
00
11
00
10
01
01
10
11
10
01
10
11
00
00
01
00
00
00
11
11
01
11
10
00
10
00
00
00
10
11
10
01
00
10
00
10
00
00
01
10
11
11
10
00
00
10
10
00
01
00
10
10
00
00
10
01
00
01
11
00
00
00
10
00
01
10
10
10
00
10
10
10
01
00
11
00
11
10
01
00
11
10
00
01
00
01
11
11
10
00
10
10
10
10
11
10
00
11
00
10
01
10
00
01
10
10
10
00
00
10
11
01
11
10
10
00
10
10
10
10
01
11
01
00
01
10
11
00
00
11
10
11
01
00
10
10
00
00
01
11
00
11
00
11
00
10
10
00
11
00
10
10
00
00
00
10
00
10
00
10
00
01
10
00
00
00
00
11
10
00
00
10
10
01
00
11
11
10
10
11
01
01
11
10
10
00
00
10
10
01
00
10
10
11
11
01
00
00
10
01
00
01
10
10
00
10
00
00
01
10
10
00
01
10
11
00
01
01
10
00
11
01
00
01
10
10
10
10
00
01
01
10
01
10
01
10
10
00
11
01
11
10
10
10
00
10
01
00
11
00
00
01
11
10
10
11
00
00
10
00
10
10
10
10
11
00
00
10
00
11
10
01
00
10
00
00
00
00
00
11
10
01
00
01
00
10
00
00
10
10
10
01
00
10
11
01
01
00
00
11
10
00
01
00
10
10
00
00
01
10
00
10
10
00
00
10
10
01
10
00
00
00
00
00
10
01
01
00
10
11
10
00
11
10
10
00
11
10
10
01
11
10
01
10
10
11
10
00
00
01
10
10
00
10
10
01
11
10
00
11
00
10
00
00
10
10
01
01
01
10
01
10
00
11
10
00
00
10
11
01
01
11
00
00
10
00
00
11
10
00
11
10
01
00
11
11
10
00
00
01
11
01
10
10
11
00
01
00
00
10
00
00
01
01
10
00
00
10
10
11
00
00
00
00
10
10
00
10
00
11
00
00
11
00
11
10
01
00
00
10
01
10
00
00
10
11
10
00
00
10
00
10
11
11
11
00
01
01
00
10
00
01
10
10
00
10
10
00
00
10
11
01
11
00
10
01
01
11
01
10
10
11
10
00
00
10
10
00
01
10
11
00
10
00
01
10
10
10
00
10
10
10
00
10
10
11
10
11
11
10
00
00
11
01
11
01
00
10
10
10
10
11
00
00
10
10
10
10
10
00
00
00
11
00
00
10
10
00
11
11
00
10
00
01
00
11
11
10
00
11
00
11
01
00
11
10
10
00
11
10
00
00
10
00
10
00
01
11
11
00
01
11
11
01
01
00
00
00
10
00
10
11
10
11
00
10
00
11
10
01
00
10
00
01
00
11
11
11
00
11
00
11
10
11
11
01
01
11
11
10
00
01
00
10
11
10
00
10
10
10
01
10
01
10
00
10
00
00
00
01
11
10
00
11
00
01
00
11
01
10
00
10
01
10
11
00
11
10
11
10
10
00
00
00
10
01
01
00
00
00
01
10
11
01
11
01
10
11
10
11
01
01
00
10
00
10
11
01
11
10
00
10
00
10
10
10
10
10
01
01
00
11
10
10
00
00
00
00
00
00
00
01
10
00
00
00
11
10
01
10
00
11
10
10
01
00
10
10
10
10
10
01
00
11
10
01
10
10
11
00
11
10
01
00
00
00
10
00
00
10
11
10
10
10
01
00
00
10
00
01
10
10
11
10
10
10
01
00
11
01
00
10
10
10
11
10
00
10
00
01
01
01
10
01
00
01
11
01
10
11
10
11
00
01
11
11
11
11
00
00
00
11
01
01
10
10
10
10
00
01
00
10
00
10
10
00
01
00
00
11
00
00
00
11
11
11
01
11
10
01
00
01
10
00
00
10
10
00
10
11
11
00
10
01
11
01
00
10
01
01
11
10
11
10
01
10
00
10
10
00
00
00
11
01
10
00
10
00
01
00
00
10
10
00
10
01
10
00
01
10
00
00
00
01
00
11
11
00
11
01
00
00
01
10
10
11
00
00
00
10
10
11
00
10
10
10
00
01
01
00
00
11
01
11
00
11
10
10
01
10
01
01
10
01
10
01
01
00
01
10
00
10
10
00
10
00
11
10
00
11
00
10
00
10
01
10
11
00
10
10
10
11
10
00
00
11
10
10
01
10
00
10
10
10
10
00
00
00
10
10
11
10
11
11
01
10
11
00
00
11
10
10
00
01
10
11
00
00
00
10
00
01
11
11
00
10
00
10
11
01
10
10
01
10
00
00
10
10
00
00
10
11
00
11
11
10
10
11
10
00
01
00
11
10
01
00
10
10
10
00
01
11
11
10
10
00
10
00
00
10
10
00
00
01
10
00
10
10
10
10
00
10
10
01
00
00
10
10
01
10
11
00
11
10
00
10
01
01
00
10
10
01
10
10
00
11
00
11
00
10
00
01
10
10
10
01
00
10
00
00
11
10
00
01
11
01
00
00
10
00
00
10
00
00
10
01
00
00
10
10
01
01
10
00
00
01
11
10
01
10
10
00
00
10
00
11
11
01
10
11
10
00
11
01
10
10
01
00
11
10
01
00
01
10
01
00
10
00
00
00
10
11
00
00
11
10
00
10
11
00
11
10
10
00
10
00
10
11
00
11
10
00
10
00
10
10
10
10
10
00
00
01
00
11
11
01
01
00
00
00
00
10
00
01
11
01
10
10
00
00
10
11
10
00
00
00
11
10
00
10
00
10
10
10
00
11
11
00
10
11
11
10
10
10
00
00
01
01
10
10
11
01
00
00
10
00
00
01
10
11
11
01
10
10
11
00
01
00
10
11
00
10
00
01
10
10
10
01
10
01
00
11
00
10
00
00
00
11
01
01
10
11
00
00
10
00
00
10
00
00
00
11
10
00
11
10
00
10
11
10
10
10
00
10
10
10
00
00
00
01
00
00
11
00
00
10
11
10
00
01
00
01
11
00
01
00
11
10
01
00
11
10
00
00
11
01
00
10
00
10
00
11
10
01
01
00
00
10
00
00
10
10
01
00
10
00
10
11
00
01
01
00
10
10
00
00
10
10
10
01
00
11
11
01
11
00
01
10
10
00
00
10
10
00
00
11
00
00
00
11
10
01
01
00
00
10
10
10
00
10
01
00
01
00
00
00
10
10
11
11
10
01
10
01
00
11
00
10
10
00
10
10
00
00
10
11
10
00
10
00
00
00
10
01
10
11
10
10
00
01
01
00
00
10
10
00
00
10
01
00
11
00
01
01
00
10
10
10
01
11
00
00
10
10
10
00
11
10
00
00
10
11
10
00
00
10
01
00
10
10
01
00
10
10
10
00
00
00
01
10
00
10
10
11
10
10
00
00
11
00
11
00
11
00
11
10
01
00
10
01
01
10
10
00
00
00
11
10
10
11
00
00
00
10
00
01
11
10
11
00
01
01
00
00
11
00
01
10
11
10
11
01
00
11
10
10
01
00
10
00
11
00
01
01
11
11
01
10
11
10
00
00
11
10
00
00
11
10
10
01
10
11
01
01
11
01
01
11
10
00
00
11
00
00
10
00
00
01
10
10
10
00
10
00
10
00
10
01
01
00
10
00
00
01
00
11
11
00
01
10
00
10
10
00
00
11
00
00
01
10
11
11
10
00
01
01
10
00
01
10
00
10
00
11
00
01
00
00
10
00
01
00
00
10
10
00
10
00
01
00
01
11
10
01
01
01
00
10
10
10
00
01
00
11
10
01
01
01
00
10
00
10
00
00
00
10
10
01
10
00
00
11
00
11
10
10
00
10
10
01
00
10
00
00
10
00
00
10
00
11
10
00
11
10
00
10
01
01
11
10
00
00
01
11
00
10
10
10
00
10
00
10
10
10
00
00
10
10
11
00
11
00
00
10
00
11
10
10
00
00
10
00
10
01
10
00
01
01
00
10
00
00
10
00
00
10
11
11
11
00
10
00
10
10
01
01
10
10
10
10
00
10
10
00
11
01
01
10
00
11
01
00
00
10
00
11
11
11
00
00
11
00
11
11
00
10
00
10
10
10
00
00
01
00
00
10
11
00
10
10
00
00
10
00
11
00
10
10
00
10
10
10
10
11
00
01
10
11
00
10
11
11
10
00
00
10
10
10
01
01
10
10
11
00
01
11
10
10
00
11
10
10
00
00
10
01
00
00
11
00
00
01
00
11
00
00
10
00
01
11
10
01
11
11
10
10
10
00
00
10
01
10
10
00
01
01
10
11
00
10
00
10
01
10
11
00
01
01
01
10
00
10
11
01
00
11
10
00
00
10
11
00
00
01
10
00
10
11
11
01
01
11
00
01
01
10
00
00
11
10
00
01
00
11
10
00
10
10
01
00
00
11
00
11
00
11
11
01
00
11
01
00
10
10
10
01
01
01
11
10
10
10
00
00
11
10
00
11
11
01
00
00
11
10
00
01
10
11
00
01
10
10
00
00
00
10
11
01
00
01
00
11
00
00
11
00
10
10
10
10
01
00
01
00
11
00
00
10
10
10
00
11
01
00
00
01
11
00
11
01
11
10
11
00
10
00
00
10
01
00
10
01
11
10
01
00
11
10
10
01
01
10
11
00
01
10
10
00
10
10
01
00
10
00
01
00
00
11
01
00
00
00
10
01
00
00
00
10
11
10
11
11
01
11
10
10
10
10
10
10
00
00
11
00
01
11
01
11
10
11
00
11
10
00
10
11
00
00
10
10
00
00
00
01
01
01
10
00
00
11
10
00
00
11
10
11
00
10
10
10
10
00
00
10
00
00
10
00
11
11
10
11
00
11
00
10
10
10
10
00
01
01
00
11
00
01
10
10
10
10
11
01
10
00
10
11
00
00
10
10
01
01
10
01
10
10
01
00
10
00
01
10
01
00
00
01
01
00
00
11
11
10
00
00
10
00
11
10
00
00
10
10
00
01
10
10
00
10
00
00
00
11
10
10
00
11
00
10
01
00
11
11
10
10
00
10
11
00
10
00
00
01
11
00
00
01
00
00
11
10
00
10
00
01
10
10
10
10
10
01
10
10
00
10
10
01
10
00
00
00
11
10
01
00
00
10
11
00
11
00
00
00
00
10
10
11
00
00
00
10
00
00
10
00
11
00
10
01
10
10
10
10
00
00
01
00
00
10
11
10
10
00
11
10
01
11
01
11
00
11
10
01
11
10
00
00
00
00
00
00
00
11
00
10
10
11
01
00
10
10
00
10
10
00
10
00
10
10
01
11
10
10
10
00
01
11
00
00
00
11
10
01
10
01
00
10
01
00
01
10
01
00
00
00
10
00
01
01
10
00
00
10
10
11
00
10
00
00
00
10
10
10
10
01
00
11
10
00
00
10
11
00
10
10
10
00
00
01
01
10
01
10
00
00
01
00
10
11
10
00
00
10
10
00
10
00
10
10
00
10
01
00
01
11
11
01
10
11
00
00
00
11
10
01
11
01
01
10
10
10
00
00
10
10
01
00
10
10
00
01
10
10
00
10
10
10
11
01
00
00
00
10
11
00
00
10
10
11
00
01
01
00
10
11
00
00
10
00
10
10
10
01
10
00
01
11
10
00
00
10
11
10
00
11
00
01
10
01
10
10
10
00
00
10
10
01
01
00
11
10
00
10
01
01
01
11
11
00
00
00
01
10
10
00
11
01
00
10
00
10
10
01
10
10
01
01
10
00
01
00
00
00
01
10
10
00
00
01
11
00
10
10
10
01
01
11
10
01
01
11
10
01
01
10
00
10
11
01
00
11
11
11
10
11
00
10
10
00
00
01
00
10
11
10
00
10
00
01
00
00
10
10
10
10
11
01
00
01
10
00
00
00
10
10
10
01
11
10
10
00
00
01
11
01
00
10
00
01
00
00
10
11
10
00
00
01
01
10
01
00
00
01
10
10
00
00
10
10
11
11
10
00
00
01
10
01
00
10
00
10
01
01
00
11
00
10
01
10
11
00
11
11
10
00
00
01
11
10
00
10
00
01
10
10
00
00
10
10
00
00
11
00
00
01
10
10
00
01
00
10
10
00
10
10
10
10
10
10
00
00
11
00
01
00
00
11
01
11
01
01
10
10
01
00
10
11
01
01
01
11
01
00
10
10
00
00
11
10
00
00
10
10
10
10
01
11
11
00
11
01
00
10
10
10
00
00
10
00
10
00
10
11
00
00
10
01
00
11
10
10
10
00
11
10
00
01
10
11
10
01
00
10
01
00
10
10
00
01
00
10
10
01
00
10
01
00
10
00
10
00
10
10
00
10
10
00
11
01
01
10
11
00
00
10
10
00
11
11
01
10
10
00
00
10
11
10
01
01
11
00
01
00
10
10
00
10
11
00
01
00
01
10
10
10
00
01
11
10
10
01
00
01
10
00
10
10
00
00
00
10
00
00
11
11
00
11
00
11
11
10
00
00
00
10
11
00
00
11
10
00
10
11
10
11
01
11
11
00
11
00
01
11
10
00
10
00
00
00
00
11
00
10
01
10
00
01
10
10
10
00
01
01
10
00
11
01
01
00
10
11
10
00
10
00
01
10
11
00
11
10
00
10
00
10
10
11
01
01
11
00
11
10
10
00
11
00
01
01
01
11
00
00
00
00
11
01
00
10
01
00
10
01
11
00
00
10
01
00
10
10
00
00
11
00
00
11
11
11
01
11
10
10
00
10
00
01
10
11
10
10
01
00
00
10
11
00
10
10
10
11
00
01
10
10
00
10
10
01
11
10
01
00
00
01
01
11
00
00
11
10
00
10
01
01
00
10
11
00
00
10
01
10
11
00
01
00
00
11
10
00
01
00
10
00
10
01
10
01
10
01
01
10
11
00
11
11
00
00
00
11
01
00
11
00
01
01
10
10
00
10
11
00
01
10
00
01
00
01
10
10
00
00
11
10
10
10
10
00
10
00
10
00
11
10
00
00
00
10
11
10
10
10
11
00
10
10
11
01
01
00
11
00
10
10
01
11
01
10
00
00
10
10
10
00
01
10
11
00
11
00
11
10
01
00
10
11
00
01
10
00
00
00
00
10
10
10
00
10
10
10
00
00
10
00
01
10
11
10
10
11
10
00
10
00
00
00
00
10
10
00
00
10
01
00
11
01
01
11
01
10
10
11
00
11
10
00
00
00
11
10
10
10
11
00
11
01
01
00
11
00
10
00
00
01
10
10
01
00
00
10
10
10
11
00
10
00
10
01
10
00
10
11
00
10
10
00
10
11
00
01
01
00
00
10
10
00
00
10
11
01
00
01
11
10
10
01
11
00
11
10
01
10
01
10
00
01
00
10
10
01
01
11
00
00
10
11
10
00
01
10
11
01
00
10
00
10
00
10
10
00
10
00
10
00
00
00
00
00
00
01
10
01
00
00
10
10
10
11
00
00
10
10
10
01
11
00
10
00
10
10
01
11
01
01
10
11
01
10
10
10
00
00
11
00
11
00
01
00
00
11
01
00
11
00
00
00
00
10
11
11
01
10
11
01
10
11
10
01
00
00
10
00
10
11
10
00
00
10
10
01
11
11
10
01
10
10
11
10
01
00
10
11
11
00
11
00
10
11
10
00
10
10
00
01
11
00
10
00
00
11
00
11
00
00
10
01
10
01
10
00
00
11
10
01
00
10
00
10
11
00
10
10
00
10
11
01
01
00
00
10
00
01
01
11
10
11
11
00
01
10
10
00
10
11
00
10
01
00
10
10
10
01
00
00
10
11
10
11
11
01
00
10
10
10
10
00
00
10
01
10
10
11
10
01
00
10
00
00
00
10
10
11
00
00
10
10
11
00
00
11
10
00
00
10
11
10
11
10
10
01
11
11
00
11
10
10
11
00
00
11
10
00
10
10
00
00
10
10
11
00
11
00
00
10
10
00
01
01
10
01
11
10
01
10
11
10
01
10
11
00
11
11
01
01
01
00
10
00
00
00
11
10
00
10
00
00
00
10
10
11
01
10
00
00
00
10
00
10
10
00
01
11
10
00
00
10
11
00
00
10
10
01
10
11
11
01
00
11
11
00
10
10
11
00
10
11
00
10
10
01
01
10
11
01
10
10
10
01
10
10
00
00
00
01
11
10
10
10
01
00
10
00
00
11
00
01
00
11
11
01
11
10
10
01
00
00
10
10
00
00
10
01
11
10
00
10
01
00
10
10
00
10
10
00
10
10
11
01
01
01
11
00
10
01
00
00
10
10
00
00
10
00
10
10
11
10
00
10
10
00
10
00
00
10
00
00
10
10
00
00
11
10
10
10
10
10
10
01
00
10
10
10
11
01
10
00
01
11
10
10
00
10
01
00
11
00
01
11
01
00
00
10
11
00
11
10
01
00
11
11
10
10
01
00
10
00
00
10
00
10
10
01
00
11
11
00
11
10
10
01
01
10
10
10
00
01
00
00
10
00
11
10
00
10
00
01
01
11
11
01
00
10
00
00
01
10
11
00
11
10
01
11
10
11
01
00
10
10
11
00
10
00
00
00
01
10
00
11
11
10
00
10
10
10
01
00
10
10
01
00
00
00
10
10
10
10
00
00
10
00
10
00
10
00
01
00
00
10
00
00
10
00
11
00
10
10
01
00
10
10
01
00
10
10
00
11
01
00
11
00
01
10
10
00
10
00
00
00
10
10
10
11
11
00
00
10
10
10
11
10
00
01
00
11
01
10
01
10
00
10
00
10
00
00
10
11
01
00
01
11
11
10
11
00
01
10
00
00
00
11
11
10
01
01
11
00
00
11
10
10
00
00
10
11
00
11
10
10
00
00
10
01
00
10
01
10
00
00
10
11
10
01
00
10
00
11
00
11
10
01
10
10
10
11
11
00
10
10
00
10
10
00
00
00
11
00
01
10
10
10
00
10
10
10
10
11
00
00
10
10
01
00
00
00
10
10
01
01
01
00
10
10
11
10
10
00
00
10
00
10
10
01
00
11
11
00
10
01
10
10
00
00
00
11
10
10
11
10
00
11
11
10
10
11
00
00
10
10
10
00
11
00
11
11
00
01
00
00
10
10
10
00
11
10
01
01
00
11
01
10
01
10
00
00
11
10
10
10
00
00
01
10
10
01
10
00
01
10
00
00
10
10
00
01
10
00
01
10
11
11
11
00
00
10
11
11
00
00
10
10
11
10
01
01
10
10
00
00
11
00
01
00
00
00
11
10
00
00
10
00
01
11
10
00
00
10
00
00
01
00
11
10
10
11
00
01
10
01
00
10
10
00
10
11
10
01
00
11
00
00
00
01
11
11
00
01
10
00
10
11
10
00
10
10
01
00
00
10
00
10
00
01
10
01
10
11
10
11
11
00
10
10
01
00
11
00
01
11
10
10
10
10
00
00
10
01
00
10
10
01
10
00
11
00
11
11
10
10
10
00
10
10
11
10
01
01
00
00
10
00
10
00
00
00
11
10
00
00
01
00
10
00
00
10
10
10
11
00
11
00
00
00
00
00
11
00
01
11
11
10
01
10
10
10
00
00
10
00
00
10
10
00
00
11
00
01
00
00
10
10
10
00
01
10
10
11
11
10
00
01
11
00
01
10
11
01
01
00
00
11
10
00
00
10
11
00
00
00
10
11
10
11
10
10
00
11
10
00
00
11
00
00
10
10
00
11
10
01
11
00
00
10
10
00
00
01
00
00
11
10
01
00
10
10
01
00
10
11
00
10
10
00
01
00
10
00
10
10
00
10
10
11
01
00
11
00
11
11
01
10
10
00
01
00
10
00
00
10
01
10
10
01
00
11
00
11
10
00
00
01
10
01
00
01
01
00
10
10
00
10
11
10
01
00
11
10
00
00
00
01
10
10
00
11
10
00
11
10
10
01
10
01
00
10
11
11
01
01
11
11
11
11
00
01
11
00
00
11
10
10
00
00
10
00
00
10
00
00
00
00
10
10
00
00
00
10
11
00
01
00
01
10
10
00
00
10
10
00
01
10
10
10
00
01
11
10
11
00
11
10
10
10
00
10
11
10
00
00
11
00
00
10
11
00
10
10
10
11
00
10
01
00
11
00
10
10
11
01
00
01
10
01
00
01
00
00
11
01
00
01
11
10
10
10
00
01
11
11
00
01
11
10
11
10
01
00
11
01
01
10
00
10
10
10
00
00
10
11
10
00
10
00
10
00
01
01
10
10
11
00
01
00
00
01
10
10
10
00
01
10
00
00
01
10
00
01
11
11
10
00
10
10
01
00
11
10
10
11
00
00
00
11
10
00
11
00
10
10
10
00
10
01
01
11
10
00
00
10
10
00
00
10
01
00
00
00
10
10
00
00
10
01
00
01
10
01
10
11
00
11
01
00
11
01
10
11
10
10
10
01
11
10
11
01
01
11
10
01
00
10
11
00
10
11
10
00
10
11
01
01
11
00
10
10
01
10
10
10
00
00
10
10
10
00
10
10
10
01
00
00
10
00
11
10
01
10
00
01
00
00
00
00
10
00
10
10
01
00
00
00
00
00
00
11
10
00
11
11
10
01
11
00
00
11
01
11
00
00
10
00
01
00
10
10
10
01
00
10
00
00
00
00
00
11
10
00
10
11
00
10
11
01
00
01
10
10
01
10
11
10
01
01
00
01
01
10
10
11
00
00
00
11
10
00
00
00
00
01
00
01
10
00
00
01
10
11
01
11
00
00
10
10
11
01
01
10
11
00
00
10
10
01
00
10
00
01
00
00
00
00
10
11
00
11
01
00
01
10
01
10
01
11
10
00
00
11
11
10
10
00
01
10
10
00
11
10
11
00
00
01
00
00
10
11
00
11
10
01
11
11
11
10
10
00
11
10
00
00
10
10
10
10
00
11
10
00
01
00
01
01
10
00
01
11
10
11
11
10
00
00
10
10
00
00
00
11
00
10
11
11
00
01
11
10
11
10
00
01
00
10
00
11
10
00
00
10
11
10
01
10
11
10
00
00
00
00
11
01
00
00
10
10
00
00
10
11
01
01
10
10
00
01
00
01
10
10
10
11
00
00
00
10
00
01
11
10
01
01
00
01
11
00
00
10
11
10
01
00
11
00
10
11
01
10
11
10
00
10
00
01
10
00
10
11
11
00
00
10
00
01
10
00
10
00
00
10
00
00
11
00
00
11
11
10
10
01
01
10
00
00
10
00
00
00
10
11
10
10
01
10
00
10
10
00
00
10
00
01
10
01
10
10
00
10
10
00
00
11
10
11
11
11
01
01
01
10
00
00
00
00
10
00
10
01
00
00
11
11
10
01
01
10
11
01
11
10
01
00
10
00
11
00
01
10
11
11
11
00
00
11
11
11
00
10
00
00
10
00
10
10
00
00
00
10
01
00
10
10
10
01
10
10
01
00
00
10
10
10
10
10
01
10
10
00
10
10
10
11
00
00
00
10
11
10
10
00
00
00
00
00
11
10
11
10
01
00
11
11
10
01
00
01
11
10
00
11
10
00
00
11
11
10
01
11
10
01
00
00
00
00
10
10
10
00
10
00
01
01
11
10
01
00
10
11
00
10
10
11
00
01
01
00
10
00
10
11
00
10
10
00
01
11
10
10
00
00
00
10
10
00
10
01
00
11
11
10
10
11
00
10
00
00
10
11
10
01
10
01
10
11
11
01
01
10
11
10
00
10
11
00
01
10
00
10
10
00
10
00
01
00
00
10
10
11
11
11
01
01
11
11
00
01
10
01
10
11
00
01
11
10
00
00
00
10
11
10
00
00
00
11
11
11
10
11
11
01
10
11
00
00
00
01
11
10
11
00
00
00
11
00
10
00
01
10
00
10
10
10
11
10
00
10
11
01
10
10
00
11
00
11
00
01
11
10
01
00
11
10
00
00
10
00
10
00
10
01
00
00
00
01
10
11
10
00
00
01
00
10
11
00
01
00
00
10
10
00
10
10
11
01
01
11
00
00
00
11
01
00
10
11
10
00
10
01
10
11
01
11
00
01
11
01
00
10
00
00
00
01
10
10
01
10
10
00
00
10
11
00
00
11
00
00
10
11
00
11
10
11
00
00
00
10
01
00
01
10
11
00
00
00
00
01
00
10
10
10
10
00
10
10
10
10
00
00
10
11
00
01
10
01
00
10
01
00
00
10
00
00
11
10
10
00
01
01
10
11
01
10
10
00
10
00
11
11
10
00
10
11
11
11
00
11
00
00
01
00
10
10
10
10
11
00
01
01
10
10
11
01
10
00
01
10
10
00
00
10
00
00
00
00
10
01
00
11
10
00
00
11
10
11
10
10
00
11
11
01
10
10
10
10
10
10
00
01
10
00
11
10
00
10
11
01
01
11
10
00
11
00
10
00
00
11
00
10
00
10
10
01
11
00
11
00
11
11
01
01
00
10
11
00
11
10
00
01
11
01
10
11
10
00
11
01
00
10
10
00
10
00
10
00
10
00
11
10
00
00
10
10
00
10
11
10
10
00
11
01
00
10
10
01
10
00
10
10
00
00
00
00
01
00
10
10
11
00
00
01
00
11
00
00
00
10
00
00
01
10
11
10
10
01
10
10
10
00
01
00
10
10
10
11
00
01
00
10
10
11
01
10
00
01
10
00
01
10
00
10
11
10
10
10
00
00
10
00
01
01
10
11
01
10
00
00
10
00
01
11
10
01
01
11
01
10
00
10
01
00
11
11
11
01
11
00
00
10
11
00
11
10
01
10
00
10
11
00
00
10
10
00
11
10
10
00
10
10
01
00
10
00
00
10
01
00
00
00
11
10
01
10
10
11
10
10
01
01
11
11
01
00
11
00
10
10
10
01
00
11
10
10
10
01
00
11
10
00
10
01
10
01
01
11
11
10
00
00
10
10
00
00
11
01
10
11
01
01
00
01
10
00
10
11
10
01
01
11
00
01
00
00
10
10
01
11
10
00
01
11
00
00
10
10
00
01
11
00
10
10
00
01
11
10
10
10
10
00
11
01
00
10
00
10
10
01
00
10
10
00
10
10
10
00
10
00
00
00
00
10
11
10
10
11
00
01
00
10
00
01
00
11
01
00
10
01
10
10
10
11
10
00
11
00
10
11
01
10
10
11
10
11
10
01
10
10
01
00
10
10
10
01
11
00
11
01
00
10
00
00
11
10
10
11
11
00
10
00
00
10
10
00
10
11
00
00
01
00
01
10
10
10
00
01
01
11
10
11
00
10
11
00
10
10
01
00
10
00
10
11
11
00
00
10
11
00
01
00
00
00
10
10
11
10
11
01
00
01
11
11
00
00
11
00
00
10
10
10
01
00
11
11
10
11
00
00
11
00
10
10
01
01
01
11
00
00
10
01
00
11
01
00
11
00
10
10
10
00
01
00
00
11
00
10
00
01
10
00
00
10
10
10
11
01
10
01
11
01
10
11
00
11
00
00
00
10
10
00
00
10
00
01
10
01
10
10
10
00
10
00
10
10
10
10
10
00
10
00
00
01
01
10
10
10
10
00
01
11
10
00
01
10
10
10
01
00
01
11
10
00
10
10
00
11
10
00
00
10
01
10
00
01
11
01
01
11
10
11
00
10
11
00
00
10
00
10
01
00
00
10
00
10
10
00
01
00
11
10
00
11
10
10
00
10
10
00
00
11
10
00
11
00
10
10
10
10
00
00
11
10
00
00
11
00
00
00
01
00
01
00
10
10
00
10
01
10
10
11
00
01
10
00
10
01
11
11
10
00
00
10
10
10
10
01
01
10
10
01
10
10
01
10
10
00
11
10
01
11
11
00
11
11
10
11
00
00
11
10
00
11
01
00
10
10
11
10
00
10
10
00
00
11
10
01
01
10
00
00
00
00
00
10
10
00
00
00
00
10
01
00
01
00
10
10
00
01
10
00
10
00
10
00
11
10
01
00
00
10
00
00
11
10
00
11
00
10
10
11
00
01
01
11
11
00
10
10
10
01
01
00
10
10
10
00
10
10
01
00
00
10
00
00
11
00
00
10
10
01
00
00
10
00
01
01
00
00
10
11
00
01
10
10
00
10
01
11
00
00
01
00
10
00
00
10
11
01
11
00
10
00
11
11
01
00
10
10
10
10
10
10
01
00
10
11
01
01
10
10
11
00
11
00
10
10
10
01
00
01
11
00
11
00
11
10
11
00
00
00
11
10
00
11
10
11
00
10
00
10
10
11
10
00
10
10
00
00
00
00
00
01
00
00
10
10
01
00
11
10
11
10
01
11
00
00
10
00
00
10
00
01
11
10
01
00
10
01
10
00
00
10
00
01
00
11
01
00
01
10
11
00
00
10
11
10
00
01
00
00
11
10
00
11
10
10
10
00
01
11
01
10
00
10
10
00
00
10
01
00
00
00
00
10
00
10
11
01
11
10
00
11
11
10
10
00
01
11
00
11
00
11
10
00
10
10
00
01
00
11
00
00
01
10
00
01
10
10
11
00
01
10
11
00
10
10
10
00
00
11
10
10
00
11
00
00
00
11
00
01
10
01
01
11
10
00
10
10
11
01
11
10
10
01
10
11
11
01
10
00
10
11
00
00
00
10
10
01
00
10
11
10
11
10
00
00
00
11
11
10
01
00
10
00
11
10
11
10
01
00
10
10
11
01
10
00
00
00
10
00
01
00
10
00
01
00
11
01
10
10
01
11
11
11
10
00
10
10
00
01
10
10
11
00
10
10
00
00
00
01
10
11
10
10
00
11
00
10
10
00
11
10
11
00
10
01
10
00
00
00
10
00
11
00
00
10
00
01
11
01
00
11
01
11
10
01
11
10
00
00
10
01
01
10
00
00
00
01
11
11
01
10
00
00
10
01
10
10
00
11
11
11
00
01
00
10
11
10
10
00
10
01
00
11
01
01
00
01
10
10
11
11
10
10
01
00
00
10
10
01
00
10
11
11
00
00
00
10
11
11
00
10
10
10
01
10
00
00
01
10
10
10
10
11
10
01
00
01
10
11
10
00
10
10
10
00
10
11
10
00
10
00
10
00
00
10
00
10
01
01
00
01
00
10
00
00
01
10
11
00
11
10
11
01
00
11
11
10
00
01
10
00
00
10
00
11
00
01
00
10
10
00
10
00
10
10
01
10
10
10
00
10
01
11
10
00
00
01
11
00
11
10
11
11
01
00
01
10
01
11
10
01
10
10
00
10
10
10
10
01
00
00
10
00
01
10
11
10
10
10
10
01
00
11
11
10
01
10
00
00
00
00
00
00
10
00
00
01
00
01
00
00
10
00
10
11
01
00
11
11
00
11
10
00
10
10
01
01
11
10
10
11
10
10
00
10
10
10
00
00
00
10
10
01
11
00
01
01
01
10
11
11
01
10
10
11
01
00
00
01
10
10
10
10
01
01
00
10
10
11
00
00
00
10
10
01
00
01
11
10
01
01
00
11
10
10
00
00
10
10
11
10
11
01
10
01
00
11
00
00
11
11
10
01
00
10
00
00
01
01
00
11
00
00
10
10
10
11
11
00
11
01
00
00
10
10
00
01
10
10
10
00
10
10
10
00
10
11
00
10
00
10
10
00
01
10
01
01
11
10
11
11
11
11
01
00
11
11
01
00
10
10
00
10
01
00
10
01
10
10
01
10
10
00
10
01
10
00
00
10
10
10
00
11
00
11
10
10
00
01
11
00
00
10
11
00
00
10
00
11
10
10
00
10
00
00
10
00
10
11
00
10
11
00
00
10
10
00
11
01
10
11
11
00
11
11
00
00
01
11
01
11
11
10
11
01
01
10
10
00
00
01
00
10
10
00
10
00
00
10
10
00
11
11
11
00
00
01
10
10
00
10
10
10
00
10
00
10
11
11
01
00
11
11
00
00
10
00
00
10
10
10
00
11
01
11
11
11
10
10
10
01
01
10
01
00
11
10
10
10
11
01
00
10
00
11
11
10
01
01
00
11
00
11
11
01
00
01
11
01
10
10
00
00
10
10
10
10
00
00
00
01
10
10
00
00
10
00
00
10
10
00
10
11
11
10
00
10
11
10
10
11
01
10
00
00
01
10
01
00
11
00
00
01
10
00
11
10
00
01
10
10
10
11
11
00
00
00
10
10
11
10
00
10
11
00
00
10
01
11
00
00
10
10
00
01
10
10
01
00
01
00
00
11
00
00
10
11
00
00
01
10
00
11
00
01
00
00
10
11
11
10
00
01
01
00
11
11
01
00
10
00
11
10
01
00
11
10
10
00
10
11
11
10
00
00
10
00
00
10
01
10
10
11
11
01
11
00
10
10
01
11
10
11
00
00
10
01
01
10
11
10
10
01
11
10
10
00
00
00
10
11
01
11
10
10
00
00
00
10
10
01
11
11
01
10
11
01
11
10
11
01
01
10
10
01
00
00
11
10
11
11
11
00
10
01
11
00
00
10
11
01
11
10
00
00
10
01
00
11
10
11
10
10
00
00
11
10
00
00
00
10
00
10
11
00
11
01
10
00
01
00
10
01
00
00
11
11
00
00
10
00
11
00
00
11
00
00
00
10
11
10
11
11
10
00
11
00
00
00
00
01
10
01
10
00
01
01
00
10
10
01
10
10
01
10
10
10
10
01
10
00
00
10
10
10
10
00
01
00
00
10
10
00
10
00
10
00
00
00
10
11
11
10
00
10
01
00
10
10
01
11
00
00
01
01
10
10
00
11
11
10
01
00
01
10
00
11
00
00
10
10
00
01
11
00
11
01
00
00
00
11
00
01
10
10
10
00
01
10
00
00
10
01
10
01
11
11
00
00
11
10
10
10
01
00
10
00
00
00
11
10
11
10
10
10
10
00
10
10
00
10
10
10
01
00
01
00
10
11
00
00
10
00
00
11
01
00
00
11
11
00
00
01
10
10
10
10
01
00
00
11
10
00
10
01
00
11
11
01
10
01
10
10
11
00
00
10
10
00
00
11
01
10
00
10
10
10
11
01
11
10
10
10
10
10
11
11
01
00
00
00
00
10
00
00
10
00
00
10
00
11
01
11
00
11
00
00
10
11
11
01
00
00
10
10
01
00
10
11
00
00
00
00
10
10
01
11
01
10
01
10
00
10
00
10
11
01
11
10
00
10
11
10
01
00
10
10
10
00
11
01
00
10
11
11
00
11
10
00
11
00
00
11
10
10
10
00
10
11
00
10
10
11
01
01
10
10
11
01
01
10
10
01
11
11
01
01
10
11
00
00
00
11
11
10
00
00
00
00
01
11
00
11
11
00
01
11
11
11
10
00
00
11
01
10
00
00
00
00
00
10
11
10
11
10
11
00
10
00
10
01
01
01
01
10
00
11
11
00
00
10
10
10
10
01
00
10
01
00
01
10
10
00
01
10
11
10
00
00
11
10
10
10
10
01
00
00
00
00
10
11
01
00
01
00
00
11
00
10
01
10
11
10
11
00
01
00
00
01
10
10
10
00
00
10
11
01
10
10
00
00
00
00
10
01
00
00
10
00
01
10
10
00
00
01
11
01
11
11
11
10
00
10
01
01
01
10
10
01
10
00
01
10
10
00
11
00
10
10
00
11
01
01
10
10
00
00
00
01
11
00
00
11
10
10
10
01
00
11
10
11
00
00
10
00
01
10
11
01
10
00
10
00
00
10
11
10
11
00
00
00
00
11
01
11
10
10
00
00
00
10
00
00
01
00
10
10
01
00
10
01
10
10
01
01
01
01
11
11
10
11
00
01
10
10
00
00
00
10
10
01
10
00
01
00
11
10
10
00
10
11
10
00
00
01
10
10
10
11
10
01
10
10
10
10
00
00
00
10
11
00
01
10
00
01
01
01
10
00
00
00
00
00
10
11
00
00
11
00
01
10
10
11
00
00
11
00
10
00
11
10
01
00
00
11
00
10
01
10
01
10
00
00
11
00
01
11
11
00
10
01
00
00
10
10
00
11
00
00
10
10
01
11
10
00
10
11
10
10
10
00
10
10
11
00
00
01
10
10
11
00
00
01
10
11
01
00
11
11
00
11
00
00
00
10
10
01
01
01
00
10
10
10
00
11
01
10
01
10
10
00
00
10
10
00
00
11
00
00
10
00
01
10
10
00
01
10
10
11
10
10
00
00
10
00
10
00
00
00
00
11
10
10
00
11
10
00
10
10
10
00
01
11
01
11
10
10
10
10
01
01
10
10
11
00
01
01
10
00
00
11
10
00
00
00
10
10
11
10
10
00
00
10
01
01
11
11
00
11
00
01
01
11
00
10
10
10
00
00
10
10
10
10
10
00
11
00
01
00
01
01
10
10
01
10
00
11
01
11
00
00
11
10
00
00
01
01
00
11
10
10
11
10
01
10
01
00
00
10
11
10
00
00
11
11
01
00
10
00
10
10
00
10
11
00
11
01
10
11
10
10
01
10
11
01
00
10
10
10
00
11
10
00
10
10
10
11
00
00
01
10
10
10
00
01
00
10
00
11
01
00
10
10
11
11
01
00
10
00
00
10
11
11
00
11
00
11
01
00
01
00
10
10
00
01
10
01
00
00
10
10
11
00
10
11
00
00
00
01
01
00
10
10
00
00
10
00
10
11
10
11
00
00
11
10
10
01
11
11
01
01
00
01
10
10
00
00
00
10
10
11
11
00
11
00
00
00
10
01
10
10
10
00
11
10
10
00
00
01
01
11
10
01
00
00
01
10
10
10
01
00
10
10
01
11
00
10
00
10
10
10
01
01
10
10
10
10
00
00
11
00
00
01
00
00
10
11
01
11
01
00
10
00
10
10
00
00
10
10
00
11
10
00
01
10
10
10
00
10
00
00
01
00
00
11
10
10
10
00
11
10
01
10
01
00
00
00
10
10
00
00
01
10
11
01
01
10
00
00
00
01
10
11
00
01
11
11
10
10
00
11
01
01
00
11
00
00
11
10
00
00
00
01
10
10
11
11
01
10
10
00
01
10
00
10
10
00
00
11
00
00
00
10
11
01
00
00
11
00
01
00
10
00
10
11
10
00
10
10
00
10
00
00
00
11
00
01
00
00
10
11
10
11
10
00
10
00
01
10
00
01
00
00
10
00
10
10
11
10
00
11
00
00
11
00
10
01
01
10
10
00
00
10
01
00
00
00
00
00
10
00
11
00
01
01
00
10
00
01
11
00
01
10
01
11
00
10
10
00
11
00
10
10
00
00
01
10
11
00
01
11
10
01
00
00
10
01
10
10
01
00
10
11
00
00
00
10
00
00
10
10
10
01
10
11
10
01
00
10
11
01
00
00
10
10
00
10
00
01
00
10
10
10
10
10
10
10
11
00
10
00
10
01
10
00
00
01
00
10
01
10
10
10
10
00
00
00
11
00
10
11
00
00
00
11
00
00
11
00
11
10
01
10
01
01
11
00
00
10
11
10
11
00
01
11
00
01
10
11
00
11
11
10
00
00
11
00
01
10
11
10
01
00
01
10
10
01
11
11
00
00
01
01
10
10
01
00
10
00
01
10
00
10
10
10
11
10
11
11
10
01
00
00
00
00
11
11
01
01
01
10
00
10
11
01
00
10
10
00
00
11
01
00
10
00
01
10
00
00
00
10
10
10
00
01
00
10
11
10
00
10
10
10
00
01
10
11
10
11
10
11
10
10
10
10
00
01
01
10
10
01
00
10
10
01
00
00
10
00
00
11
10
10
00
11
00
10
10
10
00
10
10
10
00
10
10
10
11
01
00
10
11
10
00
00
00
11
10
00
11
10
01
01
10
01
00
10
11
10
01
10
10
11
00
11
00
00
11
10
00
10
10
00
00
10
00
01
11
11
10
10
10
01
10
00
00
01
10
01
11
11
11
00
11
00
00
10
11
00
00
10
01
01
11
10
10
01
10
11
10
10
00
00
11
10
01
00
01
10
10
00
01
01
11
10
10
10
01
00
11
10
00
00
10
10
00
00
11
00
10
10
10
10
01
00
10
00
00
00
10
11
11
00
00
10
00
00
10
11
11
01
00
10
10
00
11
01
00
01
11
10
11
10
00
00
10
10
00
00
00
00
00
10
10
00
00
01
01
01
00
10
01
00
10
10
10
00
01
11
01
00
00
01
10
10
01
00
00
10
00
00
00
11
10
01
00
10
00
11
00
00
10
10
01
01
10
11
00
11
00
10
00
00
00
11
00
01
00
11
10
01
11
10
01
00
01
10
00
00
11
01
01
11
11
00
00
00
00
11
10
01
00
10
00
10
00
00
11
01
10
10
10
00
10
10
00
10
10
11
00
10
10
10
11
10
00
00
10
10
10
10
00
01
10
01
10
01
11
00
01
00
01
10
01
00
11
00
00
10
00
10
10
11
00
10
10
00
10
10
10
00
10
10
01
00
00
10
10
10
00
01
11
01
01
11
00
01
10
11
11
01
00
10
00
01
10
11
01
01
00
00
10
11
00
10
10
00
00
10
10
01
01
01
11
00
10
00
10
00
00
10
10
10
00
01
10
10
11
01
11
10
00
01
11
11
00
10
10
11
01
01
00
11
10
10
00
11
10
00
10
10
00
10
00
00
10
10
10
00
01
00
01
10
11
10
10
01
00
01
10
10
00
00
10
00
00
10
10
00
11
10
00
00
11
00
00
00
00
10
00
00
00
00
00
10
10
10
00
00
01
10
00
00
10
00
11
01
00
00
01
10
01
00
00
01
10
11
10
00
00
11
00
11
11
00
00
00
00
00
10
10
11
10
01
01
00
10
10
00
11
01
00
01
01
00
00
10
00
00
00
10
11
11
00
10
00
01
10
00
00
11
00
10
11
10
00
00
11
01
00
01
10
10
10
01
01
10
10
10
11
00
11
01
00
10
10
10
00
10
10
01
01
01
01
00
10
00
10
10
00
11
11
10
00
01
10
10
11
00
10
10
00
10
00
00
10
11
00
11
11
00
01
11
01
11
00
10
10
00
10
00
01
10
01
10
00
01
10
10
01
10
00
01
01
00
11
10
10
01
10
10
01
10
00
00
01
10
11
00
00
00
10
10
10
11
10
10
00
10
01
10
11
00
01
01
11
01
10
01
11
00
00
10
10
00
10
10
01
00
01
01
00
10
10
10
00
00
10
00
01
10
10
01
10
10
00
01
11
10
00
10
01
10
00
00
11
10
00
01
10
00
00
10
10
01
10
01
00
00
10
10
10
11
00
00
00
00
00
01
10
00
01
10
00
00
10
11
00
10
10
10
00
01
10
01
10
10
00
10
11
10
00
01
10
00
10
10
11
00
01
00
11
01
11
10
11
00
00
01
11
10
00
10
01
00
00
00
11
10
11
10
00
10
00
01
11
10
00
00
00
10
10
11
01
10
10
00
10
10
10
10
00
10
01
11
00
10
00
00
10
00
10
00
00
11
01
11
01
01
00
00
10
11
10
00
00
11
01
01
10
11
01
01
11
10
11
00
00
10
01
01
11
10
00
10
00
00
01
11
10
01
01
01
00
10
00
00
10
11
11
10
01
01
00
00
10
01
00
11
10
11
11
01
00
00
00
10
00
10
00
11
11
00
11
00
01
10
10
00
00
10
10
10
00
00
10
11
10
00
00
01
01
10
10
10
00
10
10
00
00
11
00
11
00
10
10
10
01
01
10
11
10
01
01
10
11
00
11
11
10
01
01
11
10
01
10
01
10
11
01
10
01
00
00
11
10
01
10
10
01
01
01
10
00
00
10
10
00
00
10
00
00
01
00
10
10
01
01
10
11
00
10
00
10
10
01
11
00
10
10
10
00
11
10
00
00
11
00
01
10
10
10
00
10
11
01
01
10
10
10
00
10
10
00
11
00
01
10
00
01
11
10
11
10
00
10
00
00
00
11
10
10
10
11
10
11
01
10
11
10
10
11
10
01
11
01
00
11
10
00
00
00
10
11
10
00
11
11
11
00
10
11
01
00
01
00
11
11
00
00
01
10
10
11
00
11
11
00
11
10
10
11
01
00
00
00
10
10
00
01
10
11
00
11
00
00
00
10
10
00
11
11
11
01
00
01
10
00
00
11
10
11
01
00
11
01
01
00
01
00
00
10
11
00
01
00
00
10
11
00
10
00
00
10
10
00
01
00
11
00
10
10
00
10
11
11
10
00
11
00
00
10
00
00
11
11
00
00
10
10
11
10
01
01
11
00
11
00
00
00
10
11
11
00
10
00
11
10
00
10
10
00
01
11
10
01
00
10
10
00
10
10
01
00
10
10
00
11
10
00
00
00
00
10
00
10
01
00
11
00
10
11
11
00
10
10
01
11
10
11
01
01
11
10
00
10
00
00
00
00
01
10
01
10
01
10
11
10
10
10
01
11
10
11
01
10
11
00
11
01
10
10
00
00
10
01
01
01
10
10
00
10
10
11
00
00
10
10
00
01
00
10
11
00
10
11
10
10
00
00
01
11
10
11
00
00
00
00
10
10
11
00
11
00
00
11
00
00
10
11
01
10
01
10
01
00
00
01
11
00
00
10
10
00
10
00
11
10
01
10
11
00
00
00
10
11
00
00
01
00
11
00
01
10
10
00
00
00
10
10
01
10
11
10
00
10
10
00
11
10
00
11
00
01
01
00
10
11
01
01
11
10
11
00
00
10
10
00
00
00
11
01
11
00
01
00
11
00
10
11
10
10
00
01
00
10
10
11
01
11
11
00
01
00
00
11
10
10
00
10
11
00
01
11
10
10
00
00
00
11
01
01
11
10
00
01
00
01
10
11
00
01
10
00
10
00
01
00
10
11
11
00
10
11
11
01
10
11
00
10
11
01
01
01
10
10
00
00
00
11
00
01
10
10
10
11
11
10
11
01
10
10
01
00
00
00
10
00
00
10
00
01
11
10
01
11
00
01
10
00
11
11
01
10
10
00
00
11
00
11
11
00
11
00
10
11
10
01
00
00
10
11
00
11
00
00
10
10
00
11
10
00
00
10
00
10
00
00
11
00
00
10
00
00
10
10
01
10
11
00
10
11
10
10
00
11
10
11
01
00
00
01
00
10
01
10
10
01
00
11
01
01
01
00
00
10
01
00
00
10
10
00
00
10
10
11
10
00
00
00
00
10
00
11
11
11
01
00
10
00
00
11
10
01
00
00
10
00
00
10
11
10
10
00
00
11
10
11
00
00
00
10
01
00
11
10
10
00
00
01
11
11
00
00
00
10
10
00
00
11
10
01
01
10
00
11
10
00
00
10
00
01
10
10
00
11
00
11
01
01
11
00
00
01
00
00
10
10
01
11
01
10
10
00
11
10
10
00
00
10
10
10
11
00
10
10
01
01
10
01
00
10
01
11
01
11
00
00
00
11
10
11
00
01
10
11
00
01
01
11
10
10
10
00
11
10
10
00
01
10
10
01
00
10
10
01
00
10
01
10
01
00
01
01
00
10
10
00
00
10
10
00
01
11
00
11
00
10
00
00
11
00
01
01
11
10
11
11
10
10
11
01
00
10
10
00
00
01
00
01
11
11
00
00
00
11
01
10
10
01
00
10
00
10
10
10
00
00
10
10
10
11
11
10
00
00
00
10
10
01
01
10
10
01
10
10
01
00
00
00
00
11
11
00
11
10
10
10
10
00
00
10
10
11
11
00
10
00
00
01
00
00
11
11
00
00
10
10
01
10
00
10
01
01
10
01
10
00
10
11
00
01
01
11
11
00
10
10
00
10
10
00
01
00
00
00
01
00
10
10
01
11
10
00
10
00
00
10
00
01
10
10
10
01
10
10
11
10
00
00
10
10
01
00
01
10
11
00
11
10
00
00
10
01
00
11
01
10
11
11
00
10
01
00
10
00
10
11
10
01
01
11
00
01
11
01
10
10
01
01
10
10
00
01
10
00
00
10
10
10
10
00
01
10
00
11
01
11
01
00
10
10
00
01
11
00
00
11
10
01
00
00
10
10
00
00
10
10
00
00
10
10
00
00
10
10
00
10
00
11
01
10
00
00
10
00
01
00
00
10
10
00
10
10
00
00
10
01
00
10
00
01
00
10
10
00
00
00
00
10
10
00
00
10
00
10
00
00
11
11
10
00
10
01
01
01
01
10
10
01
00
11
00
11
10
01
10
01
01
00
11
11
10
01
11
00
00
10
10
11
00
00
00
00
00
00
10
10
00
01
00
11
11
01
10
00
10
11
10
10
01
00
10
10
10
11
10
11
11
00
10
00
01
11
10
01
01
00
11
11
11
01
11
10
00
11
10
01
00
10
10
10
00
10
00
01
10
00
00
11
00
10
11
10
11
00
01
11
10
01
01
00
11
00
00
10
00
00
10
10
11
10
10
11
00
00
00
00
10
00
00
10
10
00
10
10
00
10
01
00
00
10
10
01
10
10
11
00
11
00
01
10
11
01
01
00
10
10
00
00
10
00
00
01
10
11
00
00
11
00
11
11
11
00
01
00
10
11
00
10
11
01
00
01
00
10
10
01
00
10
10
10
11
01
00
11
11
00
00
00
01
01
10
10
10
10
10
10
01
11
10
11
10
00
01
00
11
10
00
00
01
10
00
10
10
10
00
00
00
01
10
00
10
01
11
10
00
11
00
00
01
10
00
01
10
10
10
01
00
11
10
00
00
00
10
10
11
00
10
00
00
10
10
00
00
00
00
10
11
00
10
11
11
10
00
10
11
00
00
11
10
10
10
00
01
00
00
00
00
11
00
10
11
11
10
10
00
10
00
01
00
01
11
00
01
10
10
10
01
10
00
00
01
11
10
00
10
01
00
01
10
00
00
11
10
01
00
01
00
00
10
00
00
10
10
00
01
00
11
01
11
00
00
01
00
10
11
00
01
10
11
01
10
00
00
11
11
01
00
00
00
10
00
00
10
10
00
00
10
10
00
11
10
00
11
10
01
11
00
10
10
01
00
01
11
00
00
01
10
00
00
11
10
00
10
00
01
00
10
10
00
00
00
11
10
00
01
10
11
00
01
00
10
10
10
10
11
01
01
10
10
01
00
00
01
10
11
11
00
00
00
10
10
11
10
10
01
00
10
10
10
00
10
11
11
10
00
10
00
01
10
11
00
11
10
01
11
10
00
00
11
10
10
00
00
00
10
00
10
00
00
00
00
00
10
10
00
00
01
10
11
00
00
00
00
10
10
00
00
10
01
00
10
01
00
11
00
01
00
10
00
10
10
00
00
11
10
00
00
11
10
10
10
00
11
11
01
01
01
01
11
11
01
11
11
00
00
10
01
10
11
00
01
10
10
11
00
01
10
11
00
10
11
10
00
10
00
01
10
01
00
10
10
00
00
00
10
10
11
00
10
10
00
11
11
01
01
11
11
01
10
01
10
11
01
00
11
11
00
00
00
00
10
01
10
10
11
00
01
10
00
01
10
01
10
11
00
10
00
10
10
01
10
10
00
01
00
10
10
10
10
00
00
10
10
01
00
00
10
10
10
10
10
01
10
00
01
10
01
01
01
01
00
11
10
11
00
10
10
00
00
00
10
11
01
01
01
00
00
00
10
10
00
10
10
01
10
01
10
00
10
10
10
10
10
01
11
10
10
00
01
00
11
10
01
10
11
10
00
00
11
00
00
10
00
11
11
11
11
00
00
11
00
10
10
01
00
11
10
00
10
10
10
00
00
10
10
01
00
10
00
10
10
01
10
10
00
10
00
00
01
10
00
01
10
10
00
00
10
11
10
11
11
01
11
00
00
00
01
01
11
11
01
10
01
01
00
10
10
00
01
01
10
10
01
10
10
01
00
00
11
01
01
00
10
11
00
01
10
00
00
01
11
00
11
10
11
10
10
10
10
10
00
01
10
10
01
00
11
00
01
11
00
01
11
00
00
00
10
11
10
00
01
00
10
00
10
10
00
10
10
10
11
11
01
00
00
11
10
00
11
00
00
00
01
11
01
01
11
10
00
10
10
10
01
00
11
11
10
01
00
10
11
01
00
10
10
01
11
10
00
11
10
01
00
00
10
01
01
01
01
10
00
10
10
00
00
11
11
01
00
10
10
11
10
00
00
11
11
00
11
00
01
10
11
00
00
10
10
10
00
10
11
10
01
00
01
00
10
10
01
00
10
11
01
00
10
01
01
10
01
00
11
01
01
10
00
10
01
01
10
11
00
10
00
00
10
10
00
01
00
01
01
10
10
00
10
11
01
11
00
10
11
00
10
10
01
00
10
11
01
10
10
11
10
10
00
00
00
01
10
10
10
00
11
01
10
11
00
11
01
11
01
10
11
00
00
10
00
10
00
00
11
11
01
00
00
10
00
10
10
01
01
01
01
00
10
10
01
00
00
10
10
10
00
10
00
00
10
10
00
10
11
00
11
01
01
10
11
00
01
11
11
00
00
10
10
10
01
00
11
11
10
10
01
00
00
00
00
10
00
00
10
00
10
00
00
00
00
00
10
00
00
01
11
10
10
00
00
01
10
10
10
00
10
11
00
10
00
01
11
00
00
10
10
01
10
11
00
11
01
00
10
11
10
00
01
10
00
10
11
00
10
01
10
00
00
11
11
01
01
11
01
10
10
11
10
01
10
00
01
10
10
01
10
11
00
00
10
10
00
00
00
00
00
10
10
01
10
11
00
11
10
10
00
11
11
01
10
11
00
01
00
00
10
00
00
11
11
00
10
10
10
00
11
00
00
10
11
11
00
10
10
00
11
11
00
00
00
10
10
00
00
10
10
11
01
10
10
00
11
01
00
01
10
10
00
10
00
10
11
10
10
01
01
11
10
11
00
01
10
10
10
11
00
01
00
01
00
00
00
00
00
10
00
00
10
00
10
01
00
01
00
01
11
11
11
10
11
00
00
11
10
00
01
00
01
10
00
00
00
10
10
10
01
10
10
01
10
01
10
11
00
10
10
00
01
10
10
00
00
10
00
10
10
01
00
11
01
10
00
00
00
01
10
00
01
00
10
11
01
11
10
11
00
11
10
00
00
10
11
01
10
10
10
10
11
10
10
11
10
10
11
11
11
10
11
00
11
00
11
10
10
10
00
01
10
00
00
00
10
10
00
00
00
10
00
00
10
01
00
00
10
01
10
10
11
00
01
01
11
10
00
11
00
01
11
01
01
01
00
11
11
10
10
00
01
01
10
10
01
00
10
00
01
00
00
10
11
00
00
10
10
01
00
10
00
00
11
10
10
00
10
01
10
00
10
10
10
01
00
10
10
00
11
10
00
11
00
10
00
00
10
10
10
10
10
00
11
10
10
01
00
10
00
11
00
00
01
11
00
11
11
00
11
11
00
10
10
00
01
10
11
10
01
01
11
00
00
01
10
01
01
10
00
11
11
10
00
10
00
01
00
00
00
10
10
00
10
11
10
11
01
10
01
00
00
10
00
00
01
10
10
00
10
01
00
11
00
10
10
00
10
00
11
10
00
10
11
00
10
01
00
11
00
10
01
01
00
11
10
10
01
11
10
00
00
10
10
11
11
00
00
11
10
00
00
10
10
01
10
01
00
00
10
00
00
00
10
10
00
00
00
10
10
11
00
10
10
00
11
10
00
00
01
10
00
10
11
10
01
00
00
10
10
00
01
10
11
10
01
00
01
01
00
01
00
10
11
11
00
10
10
10
00
11
11
00
00
00
01
00
10
10
10
11
10
11
01
11
10
10
00
10
00
01
11
10
10
10
01
01
00
11
11
01
10
10
01
10
01
01
10
10
10
10
10
01
00
00
11
11
10
11
11
00
11
00
00
11
10
01
11
10
00
01
10
01
01
01
00
11
10
10
01
00
00
10
10
00
01
00
10
01
11
01
00
10
10
11
00
10
00
00
10
10
01
00
00
11
11
00
00
10
10
01
00
11
00
00
11
01
01
01
00
11
00
10
10
10
00
00
10
01
01
10
10
10
00
00
01
10
00
00
01
10
00
00
01
00
01
00
10
11
10
00
10
11
01
00
10
11
00
10
01
01
10
10
00
10
10
01
10
00
01
00
01
00
00
00
00
10
10
00
00
10
11
00
00
10
00
00
10
01
10
11
00
00
00
10
11
00
00
10
10
01
11
10
11
11
10
00
10
00
01
11
10
01
10
10
00
10
10
00
10
11
01
00
10
01
10
10
10
00
00
10
01
11
11
10
11
00
10
10
00
00
10
11
01
10
11
10
00
10
01
11
10
11
01
01
11
00
00
10
00
00
10
10
00
00
00
10
00
00
00
11
11
10
11
10
01
00
00
10
00
01
10
00
00
11
01
01
01
01
00
11
00
11
01
01
11
11
10
00
00
11
11
10
00
00
11
11
10
00
11
10
00
01
01
00
11
10
01
00
00
11
00
10
11
00
01
10
10
10
00
00
00
00
11
00
01
00
10
10
01
11
00
10
10
00
00
10
01
00
00
11
01
00
11
00
01
10
10
00
00
10
11
10
00
11
00
01
01
00
00
00
00
00
00
10
00
10
10
11
10
00
01
11
10
10
00
00
01
01
10
01
11
10
00
00
00
00
00
11
11
01
11
10
01
01
00
10
11
00
00
00
10
00
01
11
11
01
00
11
00
10
10
00
01
10
11
00
10
00
10
11
10
01
00
10
01
00
00
11
10
00
00
10
11
10
10
01
11
01
11
10
01
00
01
10
10
00
00
10
00
10
10
10
10
00
00
10
11
10
10
10
11
00
00
01
01
00
10
10
00
10
00
00
10
10
01
00
00
10
11
00
00
11
11
11
00
00
10
11
10
00
11
00
10
10
00
00
00
01
00
01
11
00
01
10
11
00
10
10
00
11
10
11
00
10
01
01
01
10
01
00
11
10
10
00
00
01
00
10
10
00
00
00
10
11
10
00
00
10
01
11
00
00
11
10
10
10
00
10
10
00
01
11
10
10
10
10
01
11
10
00
00
00
10
00
10
10
10
00
01
11
11
00
00
01
11
00
00
01
10
11
00
00
00
10
10
01
10
01
00
00
10
11
10
01
11
10
10
10
10
10
11
00
01
10
10
00
10
00
10
01
00
01
10
10
00
10
00
00
10
10
11
10
00
00
11
00
10
00
00
10
10
00
00
00
01
10
10
01
10
01
01
01
00
10
00
10
00
00
10
11
00
01
10
01
10
01
11
11
01
10
11
10
01
01
10
01
01
10
10
10
00
00
10
10
00
01
00
11
11
10
00
01
01
10
11
00
10
11
11
01
10
01
00
10
10
00
00
10
00
10
01
00
10
00
10
00
00
00
01
00
11
00
10
00
10
10
00
10
00
01
10
10
00
00
11
10
11
10
10
11
01
00
11
10
10
10
01
00
00
10
00
10
01
00
10
01
01
00
11
10
10
10
00
00
11
11
00
11
10
00
10
01
10
10
00
00
10
01
01
11
11
11
01
00
01
11
01
00
10
00
00
10
11
00
00
10
00
11
10
10
00
11
00
00
00
00
11
01
10
10
10
01
11
10
11
01
01
11
01
01
10
10
10
00
01
11
10
00
10
10
01
00
10
00
00
00
11
01
10
00
00
10
10
11
10
11
10
10
10
10
00
01
10
11
11
00
00
00
10
01
10
01
10
10
10
10
10
10
01
11
00
01
00
00
00
11
11
00
10
10
10
10
11
00
01
00
01
10
11
11
11
11
00
10
11
10
00
00
10
11
00
01
01
00
10
11
00
10
00
00
00
10
11
10
10
00
10
11
11
01
10
10
00
00
00
10
10
01
01
10
11
00
01
01
00
00
11
11
01
10
10
10
10
00
00
11
10
00
11
01
01
10
10
11
00
10
00
10
00
11
01
01
00
00
01
11
10
00
10
11
01
10
00
00
10
10
10
10
10
10
11
01
10
00
10
11
00
10
11
10
01
00
11
11
00
10
11
11
01
11
11
00
00
10
11
01
01
10
10
00
10
00
00
10
11
10
00
10
00
00
00
00
00
11
11
10
00
00
10
10
00
00
01
11
01
01
10
10
11
10
10
01
01
00
00
10
11
00
10
10
00
00
10
10
00
01
10
00
11
01
01
11
00
10
10
11
01
10
10
00
00
10
11
10
00
00
10
00
10
00
00
10
10
10
10
01
10
10
01
01
00
00
11
00
01
10
10
10
10
00
11
00
00
00
11
01
01
11
10
10
10
00
00
10
10
00
01
11
10
11
00
11
10
10
01
00
10
11
00
00
01
00
11
01
00
11
10
10
10
01
00
01
10
10
01
00
10
00
01
10
10
10
11
01
11
10
10
00
10
11
01
00
10
11
00
10
00
00
11
01
00
11
11
01
00
01
00
01
10
10
10
01
10
11
01
01
10
11
00
01
10
10
00
00
10
10
10
10
10
00
11
00
10
10
00
00
00
01
11
00
00
11
10
00
10
10
10
11
10
01
01
10
00
10
10
00
10
10
00
01
11
10
01
00
00
10
00
01
11
00
00
01
00
10
10
10
00
10
00
10
11
00
11
00
00
00
11
00
10
10
00
11
00
11
00
00
00
10
10
01
10
10
11
00
00
10
01
00
01
10
10
10
00
00
01
00
01
10
10
00
10
10
00
00
10
11
01
00
00
11
01
11
00
00
00
11
11
10
11
01
01
01
00
10
00
01
10
00
01
11
11
00
10
00
11
10
00
01
10
00
01
10
10
10
01
01
10
00
01
11
10
11
01
11
11
00
10
01
00
11
11
01
00
01
00
11
10
00
00
10
11
00
10
01
10
01
00
10
10
01
00
01
00
10
01
11
10
10
10
00
01
10
00
01
01
11
00
00
10
10
00
10
00
00
10
10
10
10
00
10
10
00
00
01
00
11
00
11
10
01
11
10
10
01
10
11
00
00
01
11
10
11
10
01
11
01
00
11
10
11
00
01
10
11
00
00
00
10
00
10
10
00
01
00
00
11
10
01
10
10
11
00
00
01
10
00
01
10
01
01
00
10
11
11
11
00
01
00
01
00
11
10
01
00
01
10
10
00
00
01
11
00
11
11
00
10
01
10
11
10
10
10
10
00
01
00
11
10
11
11
00
10
00
00
10
00
00
01
10
10
11
01
10
10
00
10
00
01
00
11
00
00
00
11
10
00
01
10
00
01
11
00
11
10
10
00
10
10
00
00
10
10
00
10
00
10
00
00
10
00
00
10
10
11
10
10
00
00
00
00
01
11
10
01
00
11
00
00
11
10
01
00
10
10
10
10
00
11
10
00
11
01
01
10
01
00
01
00
01
11
10
11
10
00
00
10
10
01
10
11
00
11
00
10
01
00
00
11
00
00
10
11
10
01
01
11
00
00
00
11
10
00
00
10
00
00
01
00
10
10
11
10
10
01
00
10
01
01
10
00
00
10
11
00
01
10
00
00
10
11
10
01
00
01
10
10
11
10
10
10
10
00
00
01
11
11
10
00
01
10
11
01
10
10
00
10
00
01
10
10
00
00
00
10
10
00
10
11
10
10
01
00
10
10
00
01
01
00
11
10
10
00
11
01
10
11
10
10
00
00
00
00
00
11
10
01
00
10
00
10
00
01
11
10
10
01
01
10
00
00
11
10
00
10
10
00
00
01
01
01
10
00
01
11
00
00
10
10
01
00
00
10
10
11
10
11
10
00
00
10
10
00
10
10
10
00
00
01
01
11
10
10
01
10
01
10
10
00
11
00
01
00
10
11
10
00
10
11
00
11
10
00
00
10
11
00
00
10
00
00
01
11
11
10
00
00
11
00
01
10
10
10
00
01
01
01
10
00
10
00
10
00
00
11
00
00
00
00
10
00
11
11
10
10
10
00
10
00
11
10
00
00
00
00
11
11
00
11
00
01
00
11
10
00
00
00
10
10
01
00
10
01
00
11
11
10
00
11
10
00
11
00
01
00
00
01
10
10
01
10
10
10
00
01
00
10
10
01
00
10
01
10
11
00
11
11
00
10
10
00
00
10
10
00
11
00
01
10
00
01
00
10
11
10
00
00
10
10
00
01
10
01
10
00
00
00
11
00
01
11
01
00
10
00
10
10
10
01
01
11
11
00
11
10
00
00
10
10
11
10
01
01
00
00
00
10
00
00
10
00
00
10
01
10
00
10
11
00
11
01
00
00
11
10
00
10
11
01
11
00
00
00
10
11
00
00
11
11
00
00
11
00
10
10
10
11
10
11
01
01
00
00
01
11
01
00
10
11
11
00
11
00
01
10
10
00
00
00
11
01
00
10
11
00
01
01
00
10
00
00
10
00
01
10
00
00
00
00
00
00
10
10
00
10
00
01
10
10
00
01
00
00
11
11
10
10
10
00
01
10
00
01
10
11
00
11
00
00
10
10
01
00
10
10
00
00
00
01
00
10
10
00
11
00
10
00
00
11
10
10
00
01
00
00
01
11
10
10
00
00
11
01
11
00
10
01
10
01
01
10
01
11
10
01
01
11
10
10
00
11
10
00
11
01
00
11
10
10
10
00
11
11
10
00
10
10
00
01
01
10
01
10
10
00
00
00
00
10
10
10
10
10
00
11
10
00
11
01
10
00
10
00
00
01
10
01
00
11
00
01
11
10
10
00
10
11
11
01
01
00
10
00
10
01
00
10
10
01
10
10
11
01
11
10
00
10
10
00
00
10
00
01
10
10
00
00
00
10
11
10
00
00
11
01
10
01
10
10
00
11
10
00
01
11
01
00
10
00
01
10
00
01
01
10
00
10
10
00
10
11
10
00
11
00
10
11
10
00
10
10
00
00
10
00
10
00
11
10
01
00
01
10
00
10
10
10
00
00
11
00
01
01
10
01
10
01
00
10
11
01
00
00
11
10
10
10
10
00
10
10
01
11
00
10
00
10
11
10
00
10
10
00
00
10
10
00
01
10
00
10
00
00
10
10
10
01
00
00
00
00
11
10
00
00
11
00
11
00
01
00
00
10
10
01
11
11
11
00
11
01
00
01
00
10
11
10
01
00
10
01
10
10
00
00
10
11
01
11
00
00
00
10
00
10
10
01
01
01
01
11
10
10
00
00
10
10
00
10
00
10
11
00
11
10
01
00
11
00
10
10
00
01
11
11
00
10
01
10
00
00
10
11
00
00
00
10
00
00
10
00
00
00
11
10
11
00
10
00
01
10
10
01
00
11
10
00
00
10
10
11
01
00
00
00
11
00
11
10
10
00
10
10
00
10
01
00
10
10
01
00
11
00
01
10
11
11
11
00
11
10
10
01
00
10
01
11
11
00
10
11
00
10
00
00
11
00
10
00
01
10
01
10
00
00
01
11
00
10
10
00
00
11
10
00
10
01
10
10
00
00
10
11
10
10
10
00
00
10
00
00
00
10
11
00
10
00
10
10
00
10
00
10
11
00
00
10
00
00
11
10
10
00
00
10
00
10
10
11
10
10
01
11
01
00
00
00
10
10
01
11
10
00
01
10
10
00
10
11
10
01
00
11
10
10
01
10
10
01
00
00
01
01
11
11
00
11
11
00
10
11
00
01
11
10
11
01
00
01
00
10
10
00
00
01
11
10
01
00
01
11
11
00
00
01
10
10
00
10
01
00
00
10
11
00
01
11
11
01
01
01
10
10
00
00
11
11
01
11
11
00
10
10
00
00
10
10
00
11
10
00
00
00
10
00
10
10
10
00
10
11
00
11
10
00
10
00
00
10
00
00
10
11
00
01
00
11
10
10
00
11
11
01
11
00
11
10
00
10
11
01
00
00
11
11
11
00
00
10
00
10
10
00
00
00
11
00
00
11
00
01
10
00
00
10
01
11
01
00
00
11
00
01
10
10
00
11
00
11
01
01
10
10
11
01
10
10
00
11
10
10
01
11
00
10
11
00
01
10
11
10
00
01
00
00
10
01
01
10
10
10
01
01
10
00
01
10
01
10
00
11
10
00
00
00
10
10
00
00
10
00
10
10
00
00
00
10
10
10
00
01
01
00
00
11
10
00
11
00
11
00
00
11
00
00
10
10
00
11
01
11
10
00
00
00
01
10
10
00
10
10
11
10
00
00
00
10
10
10
00
01
11
10
11
01
10
00
10
11
11
10
00
11
10
00
00
10
01
01
11
01
11
10
10
00
00
11
11
00
00
00
10
11
00
00
00
10
00
00
10
01
00
11
11
10
00
10
10
10
10
00
10
01
00
10
01
00
10
01
11
00
10
01
00
00
10
00
10
10
01
11
01
10
00
00
10
01
10
11
10
11
11
00
00
10
11
11
10
00
10
10
00
10
11
01
11
00
00
10
01
10
10
01
00
00
10
10
00
11
10
01
10
00
00
11
01
11
10
00
10
01
00
01
11
11
00
10
11
00
01
01
00
10
10
00
10
10
00
00
10
11
00
11
01
00
00
10
00
01
00
10
10
01
00
11
00
10
10
11
11
00
10
00
00
11
10
10
10
11
01
10
10
01
10
10
10
00
00
01
11
10
11
11
10
01
01
10
11
00
01
10
10
11
10
00
00
00
00
10
00
10
10
01
00
11
11
01
11
11
10
00
00
00
10
10
00
00
10
00
10
01
11
10
11
11
10
00
01
10
10
10
00
10
10
10
01
10
01
10
10
01
00
00
10
10
01
00
10
00
10
11
11
10
00
10
10
00
00
01
00
11
10
01
10
11
11
00
10
10
01
01
00
10
01
01
00
00
10
00
00
11
00
11
00
11
10
00
01
10
01
00
11
10
00
00
01
11
10
10
00
10
01
00
00
00
10
01
00
11
10
00
01
11
01
10
00
01
00
10
11
10
11
00
01
11
00
00
01
10
10
01
01
10
00
10
10
01
01
01
10
11
10
00
10
10
01
00
10
00
10
01
11
00
00
10
00
11
10
10
11
00
00
11
10
10
10
01
00
01
01
11
01
10
10
10
00
00
11
10
00
11
10
00
01
10
00
10
10
00
10
01
01
10
11
00
00
11
00
01
00
11
11
11
10
00
11
10
10
00
00
00
00
01
10
00
11
00
10
01
10
10
10
00
01
10
10
10
10
00
01
11
00
00
10
01
00
00
10
00
10
10
00
11
10
10
11
00
00
10
00
00
00
10
10
00
11
01
10
10
00
10
10
10
00
00
00
01
01
10
00
00
00
10
11
10
10
01
00
10
00
11
01
01
10
01
11
00
01
01
11
10
00
00
00
00
01
10
01
00
10
10
00
00
10
00
01
00
11
00
11
10
00
10
10
00
01
11
00
00
10
11
00
00
10
10
10
01
00
01
10
01
11
01
00
10
01
00
10
01
10
10
00
10
00
10
00
10
00
00
10
11
00
00
10
00
10
10
00
00
10
00
00
10
00
00
01
11
00
10
10
00
00
10
00
00
11
11
00
10
00
00
10
10
10
00
00
10
00
11
00
11
00
10
00
00
00
00
11
10
00
10
00
00
00
10
00
11
10
10
11
10
00
11
10
00
11
11
00
10
00
10
11
00
00
01
11
10
11
01
00
10
10
10
00
01
10
10
00
10
10
10
10
00
00
10
11
10
11
10
00
01
10
00
11
00
01
10
00
10
10
00
00
01
10
01
00
00
00
10
10
01
01
10
11
10
00
10
01
01
11
10
10
00
11
10
01
10
10
01
01
00
00
10
11
10
11
00
01
10
10
10
10
10
00
10
11
00
10
11
11
10
10
01
00
10
10
01
10
11
00
00
00
11
00
00
10
11
10
11
10
10
00
10
00
11
10
00
00
10
11
01
11
00
00
10
00
00
01
10
01
00
10
10
00
01
11
10
10
01
00
00
10
11
00
01
10
00
01
11
10
00
00
10
11
00
11
10
00
10
10
00
00
01
00
10
10
10
00
11
01
10
10
00
00
11
00
00
00
00
10
10
10
01
00
11
10
10
00
10
00
01
10
00
11
10
11
11
11
11
10
00
00
10
01
01
11
10
11
01
10
10
00
10
10
11
00
00
01
10
00
11
10
00
10
10
10
10
00
01
11
10
01
11
01
00
11
10
01
00
10
00
01
10
10
10
01
10
00
10
01
00
11
00
10
00
00
01
01
00
10
10
10
00
00
11
11
01
11
00
10
00
11
11
11
01
01
10
00
10
01
01
10
00
00
11
01
00
00
10
10
00
11
10
00
00
00
11
10
01
11
10
11
00
01
10
10
01
10
10
00
10
01
10
10
00
11
10
00
01
01
10
11
10
00
10
11
01
00
00
10
10
10
01
10
10
00
11
10
00
11
00
11
10
01
11
10
10
01
00
00
10
10
00
11
00
00
00
10
10
01
00
10
01
10
11
10
00
00
11
10
10
00
00
10
00
00
10
11
00
10
01
10
11
11
10
00
10
10
01
01
11
10
01
01
10
00
10
10
01
01
10
00
11
10
10
00
01
11
11
10
11
10
01
00
10
00
00
11
10
01
10
01
00
00
00
00
00
10
10
00
00
00
10
11
10
10
00
10
01
11
00
10
10
00
11
10
00
01
10
01
10
01
10
00
01
01
01
01
10
11
00
00
10
11
01
00
00
11
10
00
11
10
01
11
00
10
11
01
10
00
00
11
00
00
10
11
00
01
10
00
10
10
10
00
00
10
10
00
10
00
01
10
10
10
01
00
11
11
01
10
10
00
00
11
10
00
00
01
11
00
00
11
00
00
00
11
10
10
10
01
00
11
10
00
00
10
10
00
11
10
10
00
10
00
00
11
10
10
01
10
00
11
10
00
00
10
01
10
00
10
00
10
00
00
01
10
01
01
10
10
00
01
01
11
00
11
10
10
10
10
10
00
11
00
10
00
00
10
10
11
00
01
11
01
00
10
11
01
00
00
10
11
10
01
00
10
00
10
10
10
11
01
10
11
10
10
00
00
10
00
10
11
01
11
10
00
11
01
10
10
01
10
10
11
00
01
10
00
01
10
01
11
11
01
11
11
10
10
10
00
01
01
00
10
11
01
10
10
00
11
10
10
10
10
10
01
10
10
00
01
10
11
00
00
11
01
10
10
00
00
10
01
00
01
11
01
10
00
10
10
10
00
00
10
10
00
11
00
00
00
10
01
00
01
10
11
00
01
00
10
00
00
01
10
10
01
00
11
10
10
00
00
10
00
11
01
00
11
10
01
00
11
10
11
11
01
00
10
00
10
10
00
11
00
01
10
00
11
00
11
00
10
10
11
11
01
01
10
11
01
00
10
10
01
00
10
00
10
10
00
00
10
01
00
10
10
11
11
00
10
01
10
00
00
01
10
10
10
01
00
00
10
10
10
11
11
01
00
10
11
00
00
10
11
00
10
00
01
01
01
10
01
10
01
10
00
10
11
00
00
10
11
00
10
10
00
11
11
10
10
00
00
10
00
10
10
01
00
00
10
10
10
00
10
00
00
01
11
01
10
10
00
10
00
10
00
11
01
10
00
00
10
10
00
10
11
01
11
10
01
01
00
11
01
10
01
10
10
00
00
01
00
11
10
00
11
11
00
01
11
10
10
00
01
11
11
00
11
00
00
10
00
10
10
00
00
00
10
00
00
00
10
10
01
00
00
10
11
11
11
00
10
11
00
10
00
00
11
10
01
00
00
10
10
00
10
10
10
11
00
00
11
10
11
01
10
11
01
00
00
01
11
10
01
00
10
10
10
10
10
00
00
11
11
00
01
11
10
11
00
10
11
00
01
01
00
10
10
00
00
11
10
01
01
00
10
00
00
00
11
10
00
01
10
11
10
00
10
01
00
00
10
11
10
10
10
00
00
11
10
10
10
01
00
01
01
00
00
10
10
00
10
10
11
11
00
00
11
01
00
11
00
10
10
00
10
00
01
11
00
00
10
11
00
00
11
00
10
10
00
01
11
00
00
00
10
11
10
10
00
00
10
00
01
10
10
00
00
00
11
00
10
11
00
00
10
01
00
01
10
10
10
00
10
10
10
01
00
00
00
00
11
10
00
00
10
01
10
11
10
10
01
10
00
00
00
11
01
10
10
10
01
10
01
10
01
00
01
01
11
00
00
11
10
01
00
00
11
10
00
00
10
10
01
00
10
00
11
10
10
01
00
00
11
00
10
01
01
10
10
00
10
01
11
11
01
10
10
11
11
01
10
11
10
10
10
01
10
10
01
00
00
00
00
11
00
01
10
10
11
10
11
00
01
10
11
01
10
01
00
11
10
00
00
01
01
00
11
00
01
01
00
11
11
10
00
10
11
10
01
11
10
00
11
00
00
00
11
01
00
10
01
01
01
01
10
10
10
11
11
01
01
10
00
10
10
00
00
10
00
00
10
00
10
00
10
10
11
00
00
10
10
01
11
01
01
01
11
11
01
10
11
00
00
10
10
00
01
00
10
10
01
10
00
00
11
10
10
00
11
00
01
01
00
10
10
00
10
00
00
10
11
00
00
10
01
00
10
01
10
10
11
11
00
00
10
10
10
00
00
00
10
10
10
10
10
10
10
00
10
00
01
10
00
00
11
10
10
01
10
10
00
10
00
00
11
10
00
00
00
00
00
00
11
00
11
00
00
11
00
00
10
11
11
11
01
00
00
00
00
01
00
11
10
00
10
10
10
00
10
10
00
01
00
11
00
10
11
00
01
10
00
11
10
11
10
01
11
10
11
10
01
00
10
00
10
11
00
10
10
00
00
10
00
00
00
11
00
10
10
00
00
11
10
11
01
00
01
00
11
10
10
00
10
10
10
01
01
00
10
00
10
00
11
00
00
10
10
01
00
00
11
11
01
10
10
00
10
00
01
01
10
00
01
00
11
00
01
10
11
01
00
00
10
10
11
10
00
11
00
11
01
10
10
00
01
01
10
10
10
11
00
01
10
10
00
01
00
01
00
10
10
01
10
01
00
10
10
01
10
10
00
11
11
00
01
00
10
01
00
00
00
11
10
11
00
00
01
10
10
00
10
10
01
01
00
01
11
10
10
11
11
00
00
11
00
01
00
00
10
10
00
00
11
10
00
11
10
00
10
10
11
00
00
00
00
01
00
01
10
00
11
00
10
11
01
01
00
10
10
00
00
10
00
01
10
10
11
00
00
11
00
00
00
11
11
11
00
11
11
01
10
00
11
00
00
10
00
10
00
11
11
10
00
00
00
10
10
00
00
10
00
00
11
10
11
00
10
10
01
00
00
10
10
10
00
00
01
01
11
10
01
00
10
10
10
10
01
11
00
00
01
10
11
01
00
01
00
11
10
00
00
00
10
10
10
11
00
10
00
11
11
00
10
10
11
00
00
11
10
00
00
10
00
00
00
10
01
11
01
10
11
10
10
00
01
10
10
00
10
11
00
00
11
10
11
01
00
11
01
01
10
11
00
00
00
00
10
11
00
01
01
00
10
01
10
01
10
11
10
01
01
11
10
01
00
10
10
00
00
10
01
01
00
01
01
10
11
00
10
10
00
00
11
00
00
10
11
01
01
11
10
10
00
11
11
11
00
00
10
00
01
00
01
11
01
10
00
10
11
01
10
10
00
01
01
10
01
00
10
10
11
10
11
10
10
10
00
01
00
10
11
11
01
10
00
10
11
00
11
00
00
10
01
01
10
11
00
10
00
00
00
00
10
10
01
01
01
01
10
10
00
00
11
10
01
00
10
10
00
01
10
00
00
10
00
01
10
11
11
00
00
00
00
10
01
10
10
00
01
00
11
00
10
11
10
00
00
10
10
10
01
00
00
00
00
11
00
00
00
01
10
00
10
10
00
11
00
01
11
10
01
11
00
00
10
10
01
10
10
11
10
01
00
01
00
10
10
10
10
00
01
11
11
00
00
00
11
11
10
11
00
10
01
01
10
10
10
01
01
01
10
01
01
10
00
10
01
11
00
00
11
10
01
01
00
01
01
11
11
10
00
11
01
00
10
11
00
00
10
11
11
01
11
10
10
10
11
00
01
01
10
00
00
11
10
00
00
10
11
00
10
11
00
10
00
10
11
01
11
00
11
01
10
10
00
11
10
00
00
10
11
00
10
11
10
00
11
00
11
00
10
00
10
11
01
00
10
11
01
10
11
01
10
10
11
01
10
00
11
00
11
11
00
01
00
00
11
00
10
00
00
11
00
01
10
00
00
00
00
00
10
10
00
00
10
01
01
10
10
01
11
10
00
00
10
10
00
10
01
00
10
10
10
00
10
10
01
11
10
11
10
01
00
10
10
10
11
01
11
01
10
00
00
10
00
10
10
00
11
00
00
01
00
00
11
10
00
01
10
11
11
10
01
10
00
00
00
11
01
00
11
10
01
10
11
00
01
10
11
10
01
10
10
00
10
10
10
00
00
10
11
10
00
00
01
01
11
10
10
00
00
10
11
10
01
00
10
11
01
00
00
10
10
10
11
01
10
01
10
10
01
10
00
11
00
00
00
00
10
10
10
00
10
00
00
10
10
11
00
01
01
11
10
00
01
10
01
00
00
11
11
00
01
01
00
01
00
10
01
00
01
10
10
01
01
10
10
10
00
10
00
00
10
11
11
11
00
10
10
11
00
10
11
00
00
10
00
11
01
11
11
00
10
10
11
01
10
10
00
10
10
00
01
01
00
00
10
11
11
11
11
10
00
10
11
11
10
00
00
01
01
00
10
10
00
00
00
01
00
11
01
10
10
10
10
11
10
10
01
00
11
01
11
11
01
10
01
01
10
11
00
10
00
01
10
10
00
00
10
10
11
10
00
00
10
00
10
01
01
10
11
11
11
00
10
00
10
01
01
10
10
00
00
01
10
00
00
00
00
11
01
00
00
10
10
10
00
10
01
01
10
11
10
10
00
11
00
00
11
10
00
00
10
01
10
00
01
10
00
10
00
01
10
10
00
01
00
10
00
01
00
00
10
11
01
01
01
11
10
01
10
11
11
01
00
00
10
10
10
01
00
00
10
10
10
01
01
11
00
00
10
10
00
01
01
00
11
00
00
00
01
10
11
00
10
10
11
00
01
00
10
00
00
00
11
00
00
10
11
00
10
10
00
00
10
00
11
01
10
10
11
00
11
10
00
00
00
10
10
10
01
01
10
10
10
10
11
00
10
00
01
00
01
10
11
00
00
01
00
10
01
01
00
10
00
00
11
10
10
11
00
11
01
11
10
01
00
01
01
10
10
00
00
00
00
10
11
11
00
10
11
01
10
00
11
10
10
10
01
01
10
10
00
01
10
01
11
10
11
00
10
10
10
00
11
01
00
00
11
11
10
10
11
10
10
00
00
11
10
00
11
10
00
00
00
10
10
01
10
01
01
01
00
01
11
10
10
00
01
11
10
01
00
11
11
11
00
00
10
10
00
10
11
00
00
10
11
00
10
10
10
00
00
00
10
01
00
10
00
10
10
00
00
00
10
11
10
11
11
00
00
11
10
10
00
10
10
11
00
01
01
11
01
00
01
10
10
01
00
10
01
10
10
00
00
10
11
10
00
10
10
10
01
00
00
10
00
00
01
00
10
10
00
01
01
10
10
01
01
01
00
10
00
00
00
00
11
10
10
00
00
10
10
00
10
10
01
10
00
10
01
11
11
10
00
00
01
01
11
10
00
00
01
00
00
10
10
11
11
00
00
10
00
10
01
00
10
00
01
00
11
11
01
11
10
00
00
11
11
01
10
00
10
11
11
11
00
10
10
01
00
01
00
10
10
11
01
11
01
01
00
10
01
10
11
00
00
10
00
10
11
00
10
10
01
00
01
00
01
11
11
10
01
01
11
10
10
10
01
01
01
11
11
00
01
01
11
10
00
01
00
00
00
01
10
11
00
10
00
00
10
10
01
00
10
11
10
00
01
10
11
11
00
00
10
00
10
00
00
11
01
10
10
00
11
11
00
10
11
10
10
00
10
00
00
01
00
10
10
00
10
01
10
01
10
11
10
11
01
10
00
00
10
00
01
10
00
11
10
00
10
10
01
10
11
11
10
10
01
00
11
00
10
00
10
10
01
00
10
00
10
00
01
10
00
11
11
01
10
00
11
00
11
10
00
10
01
00
11
00
00
00
01
10
01
00
10
01
00
11
10
11
01
10
10
10
00
01
10
00
00
10
11
10
01
00
11
10
11
10
00
11
10
10
01
00
10
11
01
11
00
00
10
11
10
00
10
01
11
10
11
00
10
10
00
00
00
11
00
10
10
00
00
11
11
00
00
01
01
11
11
00
10
01
00
10
10
10
01
01
00
00
10
10
10
10
00
10
10
01
10
00
10
10
10
10
00
00
10
00
00
01
10
00
01
10
10
10
01
10
10
11
00
11
10
10
01
10
00
00
11
11
00
00
11
00
00
10
11
10
01
10
01
10
10
10
01
00
10
10
00
11
10
10
00
00
00
00
11
11
10
10
10
11
00
01
10
10
10
00
11
10
00
01
00
10
10
10
00
11
10
01
00
01
00
00
00
11
10
01
10
01
00
00
00
11
11
00
11
10
00
01
00
11
10
00
11
10
01
00
10
00
10
11
00
11
01
00
01
10
10
10
10
00
00
10
11
00
00
10
10
10
00
00
11
01
10
01
10
10
11
00
01
10
01
00
01
01
11
10
00
10
10
00
01
10
10
11
11
10
00
11
10
00
01
10
11
10
00
10
01
10
10
00
01
10
00
10
11
10
10
00
01
11
10
00
11
01
10
10
11
11
00
11
01
10
10
00
10
10
00
01
00
10
11
11
00
10
00
10
00
00
00
01
11
01
01
10
00
00
00
11
00
00
10
00
00
00
11
10
00
11
00
01
01
00
10
10
01
10
11
00
00
11
00
01
10
00
01
11
10
00
01
10
10
10
10
00
01
10
00
01
01
00
11
00
11
10
00
11
00
01
10
00
01
11
00
00
10
11
10
10
00
11
11
00
00
00
00
10
00
10
00
10
10
10
10
01
01
00
10
00
10
11
10
00
00
00
00
11
11
11
00
10
10
00
00
00
10
10
01
00
00
11
01
00
00
01
11
10
00
01
10
11
00
00
00
00
10
01
00
10
00
10
10
00
00
10
01
00
11
00
11
00
11
11
10
00
00
11
01
11
10
00
10
01
01
10
00
00
11
01
10
00
11
10
00
10
00
10
10
11
00
10
00
00
10
10
10
00
00
10
00
10
11
11
10
00
00
10
00
10
00
11
00
11
01
00
10
01
10
01
11
10
00
00
10
10
00
01
10
11
00
01
11
10
01
01
10
10
00
01
01
10
11
01
01
00
10
10
00
00
10
01
01
00
10
01
00
00
11
10
11
00
10
10
00
00
10
10
00
00
11
11
11
00
11
00
00
10
10
01
00
10
10
01
10
01
11
11
11
00
00
11
10
00
10
10
01
00
10
11
11
01
10
00
10
00
01
11
11
00
11
01
00
10
10
10
01
00
10
00
01
11
00
10
00
11
10
10
10
01
10
00
01
10
11
10
10
00
01
00
00
00
10
00
00
11
10
01
00
11
01
00
01
10
00
10
10
01
00
00
10
00
00
01
01
10
01
01
01
01
11
00
00
10
10
01
00
10
10
10
01
10
00
00
00
00
00
10
11
00
10
11
01
10
00
00
01
00
11
10
00
00
10
00
00
10
00
00
01
11
10
10
01
01
01
11
10
01
10
11
00
00
01
10
00
00
11
11
01
01
10
11
11
10
00
00
10
10
00
00
10
00
11
10
01
10
10
01
01
10
01
10
10
00
00
11
10
10
01
00
10
00
00
11
10
10
11
10
11
10
11
00
10
11
00
10
01
00
11
01
00
11
11
00
00
00
11
00
10
01
01
10
11
00
10
10
00
10
11
00
11
10
01
11
11
01
10
10
00
00
00
00
10
10
00
00
11
00
01
10
11
00
01
00
10
10
10
11
00
00
10
10
11
10
00
01
11
00
10
11
00
11
10
00
10
01
00
00
11
00
11
10
10
11
10
00
10
00
00
10
11
00
00
11
00
00
00
00
10
10
10
11
11
01
11
00
10
10
00
00
01
10
11
00
00
00
11
00
10
10
00
00
11
01
10
11
00
00
00
01
10
00
00
00
00
00
00
00
00
00
11
10
00
00
10
10
00
10
00
10
10
10
00
10
10
01
11
00
01
01
11
10
00
11
11
00
00
10
10
10
10
01
01
11
11
10
11
10
10
10
00
00
11
00
01
00
11
01
01
10
01
01
10
00
11
01
00
01
10
10
00
00
10
11
00
00
00
01
10
11
11
00
01
10
01
10
10
00
00
01
00
10
01
01
00
10
11
00
10
10
00
01
11
10
10
11
00
11
01
01
00
10
01
00
01
11
11
10
10
00
00
00
00
10
10
00
11
00
10
11
00
00
10
10
11
10
10
10
00
00
00
10
00
00
11
10
00
01
10
01
10
00
00
10
10
10
10
01
11
10
10
10
10
11
10
10
00
00
10
10
10
01
00
10
11
10
10
10
10
00
00
01
00
00
10
11
10
11
11
00
00
10
11
01
10
10
00
00
10
00
10
10
11
10
11
00
00
10
10
01
10
10
10
00
00
10
01
10
10
01
00
11
10
00
10
10
00
00
00
11
00
11
00
11
00
10
01
10
10
00
10
10
01
01
01
00
11
10
01
00
10
10
10
01
10
10
00
10
00
00
01
10
10
00
00
00
00
01
11
10
00
10
00
10
01
10
00
10
00
00
00
11
01
00
01
00
11
10
11
00
10
10
00
11
10
00
01
10
10
10
11
11
00
01
00
11
00
10
10
00
00
10
10
00
00
11
11
00
00
00
00
10
01
11
01
00
10
00
00
11
00
10
10
01
01
11
10
01
00
00
00
00
11
11
01
00
00
01
10
01
10
10
01
01
10
10
11
00
00
10
00
10
11
00
00
11
11
01
10
10
01
11
11
01
10
10
01
00
11
10
01
10
01
00
10
10
11
01
00
11
10
10
11
01
00
00
00
10
10
10
01
10
00
01
10
10
10
00
00
01
11
10
10
00
00
00
10
01
10
10
11
10
00
01
11
10
10
10
11
01
00
01
10
00
11
11
10
10
00
00
10
10
11
00
00
01
00
01
00
10
11
00
00
00
10
00
01
01
00
01
10
00
11
10
11
00
00
10
10
00
11
10
01
10
01
00
10
10
00
10
11
10
00
00
00
10
10
00
01
11
01
00
11
10
00
01
00
00
10
10
00
10
11
00
00
01
01
00
00
10
10
00
00
10
10
00
10
00
00
00
10
10
10
10
01
01
11
00
11
01
00
10
00
00
00
10
10
10
11
00
11
00
00
00
00
01
00
00
10
01
11
00
00
00
01
00
00
11
11
10
10
00
01
01
10
10
00
00
00
10
10
00
01
01
10
11
10
00
00
00
00
00
01
11
00
00
01
00
11
11
00
10
00
10
10
11
00
11
00
00
00
01
10
10
11
00
11
01
10
11
00
10
10
00
00
01
00
10
10
10
10
00
00
11
00
00
10
10
00
01
00
11
10
00
11
00
00
01
10
10
00
00
10
01
00
01
11
00
00
01
00
11
11
01
10
10
00
10
01
01
11
11
00
00
10
11
00
01
10
11
00
10
01
00
10
01
10
10
10
11
01
00
01
01
01
00
10
10
01
01
10
10
01
00
00
00
00
10
10
00
00
00
00
11
10
00
11
00
11
10
10
10
00
11
11
01
00
11
00
10
00
00
00
10
10
10
10
00
01
00
01
00
10
01
00
00
00
10
10
10
00
11
10
00
01
11
11
11
10
10
00
01
10
11
01
01
01
10
10
10
00
01
10
10
00
10
10
10
01
10
00
10
11
10
10
00
00
10
11
00
10
00
00
00
11
10
00
00
01
00
01
11
10
10
00
00
01
10
11
10
10
10
10
00
01
00
10
10
11
00
00
11
10
10
10
10
00
10
00
01
01
11
00
00
10
10
11
00
00
10
00
00
01
11
01
00
10
11
00
11
11
00
00
10
01
00
11
11
10
10
00
00
00
11
10
00
01
10
10
00
00
10
10
10
00
11
00
10
00
11
11
01
00
11
10
00
10
01
10
11
10
00
11
01
00
10
10
00
00
10
00
01
11
10
00
00
00
10
11
10
11
00
01
10
10
00
01
10
11
11
10
10
00
00
00
10
10
00
01
10
00
01
00
01
00
10
11
00
00
10
11
01
00
00
11
00
10
10
11
10
11
11
01
00
00
00
00
01
00
00
10
10
00
00
11
10
00
00
00
11
00
11
11
00
00
00
10
10
10
10
01
00
11
00
11
00
01
11
01
11
10
01
11
10
10
10
00
10
01
00
10
00
00
00
10
10
11
10
10
01
01
01
00
10
10
10
01
00
11
11
10
00
11
11
01
11
01
00
10
01
00
10
11
01
01
00
10
10
10
00
11
11
00
10
10
00
00
00
00
10
10
01
11
01
11
00
10
00
00
10
10
11
11
00
10
00
01
01
00
11
10
10
00
01
11
01
01
00
11
00
11
11
11
10
01
10
10
10
00
10
00
00
10
10
10
00
00
01
00
01
00
00
00
10
00
11
10
00
00
10
10
10
10
00
10
01
10
00
00
10
10
00
11
10
00
10
11
00
11
10
11
00
00
11
11
01
01
10
11
00
00
10
10
01
00
11
10
00
00
11
01
11
10
01
00
10
10
10
00
00
11
00
00
10
11
10
00
00
10
10
01
00
00
10
11
10
11
11
00
01
10
00
10
11
00
01
10
00
10
00
00
11
10
11
01
10
00
01
11
10
01
01
10
00
00
10
11
11
11
01
00
01
01
11
10
10
00
11
01
11
11
00
01
00
10
10
00
00
00
01
00
10
11
00
10
11
00
10
11
10
00
00
10
00
11
11
11
00
10
10
10
00
01
11
10
10
00
01
01
11
00
10
11
00
00
00
10
00
00
10
10
10
00
00
10
10
10
10
00
10
01
00
01
01
10
10
11
10
00
01
10
00
00
10
00
01
10
11
10
01
10
01
10
00
01
10
10
11
10
10
00
10
00
00
10
00
00
10
10
00
10
11
11
01
10
01
10
10
10
11
00
10
01
00
00
11
00
11
10
10
00
11
11
01
10
11
01
01
10
11
01
00
00
10
10
00
00
10
10
00
00
00
00
10
10
11
00
01
10
10
11
10
00
00
00
10
00
00
10
00
00
01
01
11
11
01
00
10
01
01
00
00
10
00
10
10
00
11
10
10
00
00
00
11
00
01
00
00
00
10
00
00
00
11
01
10
11
10
11
00
01
10
00
10
11
00
10
00
01
00
11
01
11
10
01
11
11
01
00
01
11
00
01
00
00
10
10
10
10
00
01
01
10
11
00
00
00
00
10
01
00
11
01
00
01
10
01
00
11
11
10
01
00
10
00
00
10
10
01
01
11
11
01
10
10
00
00
11
10
10
00
00
11
01
01
00
00
10
00
10
11
00
00
11
11
01
00
00
11
11
00
00
10
10
00
00
01
10
10
10
01
01
10
10
10
00
00
10
00
11
01
10
11
01
11
10
00
00
00
01
10
10
01
00
11
00
00
00
00
10
11
10
00
00
00
10
01
10
01
00
01
10
01
01
11
11
11
01
01
10
00
01
11
11
00
00
10
10
00
01
10
10
00
00
11
10
11
00
10
11
11
00
00
10
00
11
11
10
00
01
00
01
01
11
10
00
00
11
10
00
00
11
10
01
00
10
00
00
00
10
00
00
01
10
11
01
00
11
11
01
00
11
10
10
01
00
11
10
01
00
01
00
10
10
00
11
10
00
10
00
01
10
01
10
10
00
11
01
00
00
10
10
01
00
01
11
11
01
00
11
00
01
10
00
00
10
00
00
00
00
10
00
00
10
10
01
00
00
11
10
00
01
11
10
01
00
00
00
00
11
10
01
00
11
10
00
00
10
00
00
10
10
10
10
10
00
01
00
10
11
11
10
10
00
10
01
01
01
10
00
10
10
00
01
00
00
11
10
10
10
00
11
01
11
00
10
11
00
10
00
00
11
00
10
11
10
01
00
00
10
00
10
01
00
11
11
10
10
11
10
00
00
10
10
01
10
00
11
01
00
11
00
10
00
00
11
10
10
01
10
01
00
00
00
00
11
01
00
10
11
10
00
10
10
00
00
11
01
00
01
10
00
00
00
10
10
10
01
00
00
00
11
10
00
00
11
00
10
01
01
01
00
10
00
10
11
00
01
00
00
10
10
00
00
10
10
00
10
00
00
00
00
11
10
10
00
00
10
11
11
01
01
00
11
01
11
00
10
10
00
10
10
00
01
00
00
10
10
11
00
10
10
00
00
00
10
11
01
11
00
10
10
11
10
00
11
10
11
00
00
00
11
01
01
10
00
11
11
01
10
00
00
01
10
10
11
11
00
10
11
01
00
10
11
11
00
10
10
00
01
01
00
00
10
00
00
00
11
10
00
01
00
00
10
11
01
10
11
00
00
10
00
10
01
00
00
00
10
11
10
10
10
00
11
10
00
10
11
00
10
00
01
01
10
01
10
10
00
00
01
10
00
00
10
10
10
10
00
10
11
11
00
00
01
10
00
00
00
10
00
10
10
10
00
11
11
10
00
10
00
10
01
00
11
01
00
10
10
00
00
11
10
00
10
01
01
11
10
11
00
00
01
10
10
00
00
10
00
11
10
10
10
10
00
01
00
01
11
10
00
00
10
10
10
01
01
10
00
01
11
01
11
10
00
00
11
11
10
11
01
01
00
01
00
00
00
11
10
00
00
00
10
00
01
01
10
00
00
00
01
01
11
10
00
11
00
01
11
01
10
01
00
00
00
10
01
00
10
11
00
11
10
10
00
10
01
00
10
10
10
10
10
00
01
01
11
10
10
10
11
11
10
00
00
01
01
10
01
10
10
10
11
11
01
00
10
00
01
00
00
10
01
01
11
11
10
00
10
00
10
10
00
00
00
01
11
10
01
01
00
00
10
01
11
10
00
10
11
01
00
10
11
00
00
01
11
01
00
01
10
10
00
10
11
01
00
10
00
01
11
10
01
00
00
00
00
10
10
01
01
01
10
00
00
00
01
11
10
00
10
10
10
10
00
00
00
00
01
11
10
11
00
01
00
11
10
11
10
00
10
11
11
00
00
11
11
00
01
01
00
10
11
00
11
10
00
10
10
01
10
00
00
10
10
00
10
01
00
00
10
10
00
10
01
00
01
01
00
01
00
11
10
10
01
00
10
10
01
00
00
10
00
10
01
00
10
00
10
01
00
00
11
00
10
01
11
10
00
00
00
10
10
10
10
10
00
01
01
11
01
10
11
00
00
00
01
11
10
00
00
00
11
11
10
00
00
00
11
01
00
10
10
01
11
11
00
10
10
11
00
00
01
00
01
10
11
11
00
00
10
00
01
10
10
00
10
01
00
10
00
01
10
01
00
10
10
10
01
00
11
10
10
00
01
00
10
11
00
10
10
00
01
10
10
00
11
00
00
11
10
10
00
00
11
01
11
10
10
01
00
01
01
10
01
10
10
00
10
11
00
10
10
00
01
00
01
01
10
11
00
00
01
10
00
00
00
10
00
10
10
00
00
00
00
10
01
00
00
10
10
11
10
10
01
11
10
01
10
00
10
01
00
11
11
00
01
00
10
10
01
10
10
00
00
10
10
00
10
11
11
00
10
01
01
11
10
10
00
00
10
00
00
00
10
00
00
11
10
10
11
10
10
00
00
00
00
10
00
00
10
11
10
10
10
00
01
10
10
10
11
00
01
10
00
01
00
01
10
11
00
00
11
00
11
00
00
10
10
01
10
00
00
01
00
11
00
10
10
01
11
10
00
01
11
00
10
00
00
11
00
01
10
11
11
00
10
11
10
00
00
11
00
10
00
10
10
00
00
10
11
11
10
11
11
10
01
11
10
01
10
00
11
00
00
11
10
10
10
00
00
00
10
00
10
11
00
01
01
11
11
01
00
10
11
00
10
10
10
00
11
10
01
01
11
00
00
10
11
10
00
01
10
10
00
00
00
10
11
00
10
00
00
00
00
10
10
10
01
00
10
11
10
10
00
11
00
10
10
00
10
11
10
10
00
10
10
10
00
10
10
10
10
00
10
11
00
01
01
01
10
11
00
00
00
10
10
01
11
10
00
11
10
00
00
00
11
10
00
11
01
11
00
00
11
01
10
11
01
10
01
00
10
00
10
11
10
00
00
01
00
00
10
10
00
00
00
10
11
00
00
00
10
00
10
10
01
11
10
00
01
00
00
00
00
10
00
01
11
11
01
11
00
01
11
01
11
01
10
10
00
11
00
00
01
00
01
00
11
00
01
10
11
10
11
10
01
11
01
10
11
10
00
01
01
00
10
10
00
00
11
10
11
01
11
00
11
01
00
10
11
00
11
10
10
01
10
00
00
10
11
10
00
11
00
01
00
00
10
10
11
00
00
11
10
10
00
10
00
01
10
00
00
00
00
10
00
01
01
10
10
00
00
11
00
10
01
10
11
10
00
10
00
01
01
00
10
10
01
10
00
00
00
01
10
11
11
10
00
10
00
10
01
00
11
01
01
11
10
10
00
00
00
10
10
10
01
00
01
01
11
10
00
01
10
00
00
10
11
01
10
10
10
00
10
01
00
00
10
10
10
00
00
11
10
00
01
10
01
00
11
11
00
00
10
01
01
00
10
00
01
00
00
10
10
10
00
01
00
10
11
10
00
00
00
00
00
11
10
00
01
00
00
00
00
11
01
10
10
11
10
01
11
10
00
10
11
00
10
10
00
00
01
10
10
10
01
10
10
00
00
00
00
11
10
00
11
01
10
11
11
00
00
00
10
10
11
01
01
11
10
01
10
11
10
10
00
00
10
11
10
01
00
00
00
00
00
11
00
00
11
00
10
01
11
00
10
10
00
01
10
00
11
10
00
00
10
10
10
00
00
01
10
01
10
00
01
01
00
10
10
11
10
00
10
10
10
01
00
00
10
11
01
01
00
10
10
00
11
00
00
10
10
00
11
10
11
10
01
00
11
10
00
00
10
01
11
00
00
00
10
10
10
10
00
00
11
10
01
10
10
01
10
11
11
10
00
00
10
10
10
00
00
00
10
01
00
11
10
00
10
10
01
00
11
10
00
01
01
11
10
10
01
00
11
10
00
10
11
11
10
00
01
10
11
11
00
11
11
01
00
11
10
10
10
10
01
00
10
01
00
00
11
00
10
01
11
10
00
10
01
01
11
10
10
10
01
10
10
01
00
10
00
00
11
00
10
00
00
10
10
00
01
01
10
01
10
00
11
10
10
10
00
00
00
01
00
10
11
00
00
01
01
11
00
10
10
01
00
11
10
00
00
10
00
00
10
00
00
11
11
11
00
11
10
10
10
01
11
10
01
00
10
01
00
11
00
10
10
00
00
10
01
01
00
01
00
01
00
01
00
10
00
11
00
10
10
00
11
10
11
10
00
10
11
00
00
10
00
01
10
10
01
01
01
00
10
00
11
00
01
10
10
10
00
01
11
00
00
10
00
01
10
01
10
10
10
10
10
00
10
10
00
10
00
10
10
00
00
11
01
00
11
00
00
01
10
11
10
00
00
00
00
00
00
10
11
00
01
11
00
11
00
00
10
01
01
11
10
00
01
00
00
10
10
00
10
10
11
00
01
11
00
01
10
00
11
00
00
10
00
00
10
10
10
00
11
00
10
10
10
01
10
10
00
11
11
00
00
10
10
10
00
00
10
10
00
00
10
00
01
11
11
00
10
11
00
00
10
10
00
01
10
10
11
10
11
00
00
00
10
00
11
11
10
10
01
00
10
10
00
00
11
11
10
11
01
00
00
10
10
10
00
01
10
11
01
11
00
00
10
10
01
00
10
00
01
10
11
11
00
01
10
10
00
11
11
01
10
10
11
11
01
00
11
10
00
10
10
00
00
11
01
01
10
00
11
10
00
10
10
01
00
01
10
01
10
00
10
10
01
10
10
00
00
10
00
01
11
00
00
10
01
10
10
00
01
11
00
01
11
10
00
11
10
01
01
11
00
01
10
11
01
10
10
11
10
00
10
01
11
01
00
01
11
01
10
01
10
11
10
00
01
10
10
01
10
11
10
00
01
10
01
10
10
00
01
00
11
11
01
00
10
11
10
00
01
10
10
10
10
01
01
10
00
00
10
10
01
00
00
00
00
00
00
11
10
00
00
11
10
11
01
00
01
10
10
01
10
10
10
00
01
11
10
10
01
10
01
00
11
00
10
01
01
10
11
00
00
00
01
11
11
00
00
01
10
01
10
10
00
10
10
01
11
00
01
01
00
11
01
10
00
00
11
00
10
10
00
11
00
01
01
11
11
10
10
00
10
10
01
00
10
00
10
10
01
01
00
00
00
11
10
00
11
10
10
01
00
10
00
00
10
10
00
01
10
10
01
00
00
10
10
00
00
10
00
01
10
01
11
00
01
11
11
00
00
01
10
01
00
11
11
11
11
11
11
01
00
11
11
00
00
11
00
00
00
10
00
10
10
00
10
11
11
00
11
10
10
00
00
00
01
10
10
10
01
00
10
10
00
11
10
10
10
11
10
10
00
10
10
01
00
00
10
10
10
00
10
00
00
10
10
11
01
00
00
00
01
10
00
01
10
10
10
11
00
01
10
10
00
01
01
10
10
00
10
11
10
01
10
00
00
10
11
00
11
10
00
10
10
10
10
10
10
10
10
00
00
10
01
00
00
11
10
00
01
10
11
10
01
00
11
00
00
11
10
11
00
10
10
10
10
00
00
11
00
10
10
00
01
11
10
01
00
00
01
11
10
00
11
10
00
00
10
10
01
10
01
10
10
00
01
11
10
10
01
00
11
00
11
10
01
11
11
01
00
10
10
10
00
01
00
11
00
10
10
10
11
01
00
10
00
00
10
11
10
00
00
11
00
00
10
10
00
00
11
00
10
00
00
10
00
01
11
10
01
01
10
00
10
00
01
01
10
01
00
01
10
11
01
01
10
11
01
00
10
11
10
00
00
11
00
10
11
01
00
11
11
11
10
10
11
00
01
11
00
00
10
10
10
11
01
00
00
11
10
10
10
00
00
10
10
11
10
00
01
00
00
11
11
00
01
01
11
00
00
10
00
00
00
10
11
00
10
01
01
10
00
11
11
00
11
10
10
00
10
01
00
01
10
10
00
10
10
11
00
00
10
10
11
00
00
10
11
01
10
10
10
10
00
00
10
00
00
11
10
00
10
10
11
00
11
11
10
00
10
10
00
01
00
10
10
10
00
01
00
10
10
00
11
10
01
00
10
11
10
00
01
10
00
01
10
11
00
10
10
00
10
10
01
00
00
01
11
00
10
00
00
10
00
11
10
11
10
01
00
10
01
00
00
10
10
00
10
10
10
01
10
10
10
11
11
00
10
11
10
11
10
01
01
10
10
10
00
01
00
10
10
00
11
10
10
00
10
10
11
01
11
10
11
00
11
10
10
00
01
10
10
00
00
00
00
10
00
10
10
00
11
10
10
10
11
00
10
10
01
00
11
00
00
10
00
10
11
00
00
01
00
11
00
10
11
01
11
10
00
10
00
00
00
00
10
00
01
01
01
10
11
00
10
10
00
11
11
10
11
00
10
00
01
10
10
00
00
00
10
00
11
11
11
01
00
11
00
11
10
00
11
11
00
00
00
10
10
00
00
10
00
00
00
00
10
01
01
10
10
01
00
10
10
10
10
11
00
10
10
00
01
01
10
10
00
00
10
01
00
01
01
10
10
10
11
10
00
00
01
00
10
00
11
00
00
00
11
10
11
00
01
10
11
11
10
01
00
10
01
10
10
10
10
10
00
00
10
00
00
00
00
10
10
01
01
01
00
10
00
11
11
00
10
10
11
11
10
11
01
00
10
00
10
10
01
00
00
10
10
10
10
10
10
00
10
00
10
00
10
00
10
00
00
10
00
10
10
11
10
00
11
10
11
11
10
00
01
11
11
11
00
00
00
10
11
01
00
01
10
10
00
00
01
10
00
00
10
00
00
00
10
01
10
11
01
10
00
01
00
10
01
00
10
10
11
00
01
00
10
10
00
00
00
00
11
10
01
00
11
10
00
01
10
10
00
00
10
10
11
01
00
00
00
00
10
10
10
11
01
01
00
00
01
11
11
10
00
10
01
00
10
10
11
00
00
00
00
00
11
01
11
10
11
10
00
11
01
00
00
10
10
00
00
10
10
00
00
10
11
10
00
10
11
00
00
10
10
01
00
10
11
10
01
00
01
10
01
00
01
01
10
00
00
10
10
00
01
11
10
10
00
00
01
00
11
00
01
10
00
10
10
11
00
10
11
00
10
00
00
11
01
10
10
10
01
10
00
00
10
01
01
10
00
10
10
00
10
10
00
11
00
00
10
10
01
01
00
11
10
01
11
00
00
11
11
00
11
01
00
00
10
00
00
10
01
10
11
10
00
00
01
00
10
00
00
00
10
01
10
01
10
10
00
10
10
01
00
10
11
01
00
10
10
11
01
01
10
00
00
10
11
11
10
01
01
00
00
00
01
00
10
00
10
00
11
00
00
10
00
00
10
10
00
10
00
00
00
00
11
00
10
10
10
10
01
10
01
00
01
00
10
00
01
11
00
11
10
10
00
01
10
01
10
10
00
00
01
00
11
10
00
01
10
00
00
10
11
00
10
01
00
00
01
10
01
10
01
01
10
10
10
10
10
10
00
00
11
10
01
10
00
01
00
11
10
11
00
10
01
00
00
10
00
01
10
10
11
10
01
00
10
10
10
10
00
00
10
01
10
01
00
10
11
01
01
00
10
11
10
01
11
00
01
10
10
10
00
00
10
10
00
10
00
01
00
11
01
00
11
11
10
10
00
00
10
10
11
01
10
11
10
00
00
11
00
01
11
10
01
11
10
11
00
00
10
11
00
10
01
00
11
11
10
10
10
00
00
01
10
00
00
01
00
10
10
00
10
00
10
10
10
11
11
10
10
00
00
11
10
00
10
11
10
00
10
10
00
00
11
10
10
00
00
01
11
01
00
00
11
00
10
10
10
01
10
10
00
00
00
00
11
10
10
10
00
11
11
00
00
11
01
00
10
10
00
01
01
10
11
10
10
00
11
10
10
00
00
00
10
10
00
00
00
01
11
01
01
01
10
10
10
00
10
10
01
01
00
00
11
11
10
00
10
11
01
10
11
11
00
00
10
01
10
11
00
00
00
10
11
00
00
11
00
00
01
01
01
11
10
01
10
00
00
11
10
11
10
00
00
10
00
00
00
11
00
11
01
01
10
01
00
00
00
10
00
00
00
10
00
10
10
00
11
00
01
00
10
00
10
10
00
00
11
10
10
11
01
01
00
01
10
01
11
00
10
10
00
01
00
10
11
10
10
00
01
11
11
00
01
10
11
00
00
01
10
11
01
01
00
10
10
01
00
10
10
11
00
00
01
11
11
10
01
01
11
01
11
10
01
10
10
00
00
10
10
10
10
11
10
10
10
11
01
10
00
00
01
11
01
10
10
00
00
10
10
10
00
01
01
00
10
00
00
10
00
01
10
11
01
10
00
00
00
00
10
00
00
11
10
11
10
10
00
11
01
10
10
00
10
00
01
10
10
00
10
00
01
01
11
11
10
00
00
00
00
01
11
10
00
00
00
01
10
11
10
11
00
10
11
01
10
10
00
00
10
01
10
10
00
00
01
10
11
10
00
10
00
01
01
01
10
00
01
10
11
00
00
10
10
01
01
10
01
00
11
10
00
11
00
10
11
10
00
00
10
01
00
00
10
10
01
10
00
10
00
10
10
00
11
10
11
10
00
00
01
00
10
00
01
11
11
00
10
10
00
10
10
00
10
10
00
10
00
10
00
01
11
00
11
00
00
00
11
11
01
11
10
00
10
01
00
10
01
11
00
00
11
01
00
00
11
11
00
01
00
00
01
10
00
10
01
01
10
10
00
10
00
11
10
00
01
11
10
01
00
00
11
10
11
00
00
10
11
00
11
11
00
01
10
01
00
00
01
01
10
10
00
11
01
00
10
00
11
10
00
01
00
00
10
00
00
00
10
10
11
10
00
10
11
11
01
10
10
00
11
10
00
00
11
00
10
10
10
11
01
10
01
00
10
00
01
00
11
10
00
00
11
10
10
01
00
00
00
01
10
10
01
11
00
11
00
00
11
10
01
00
10
11
10
01
00
10
10
01
00
10
01
00
01
00
10
00
00
10
00
11
10
00
10
10
10
10
00
00
10
00
10
00
11
00
00
10
10
10
10
01
10
10
10
10
01
11
10
00
00
10
00
00
10
10
00
01
10
10
10
01
01
11
01
10
10
00
00
01
11
00
10
10
01
10
10
11
00
10
01
10
00
11
00
10
01
01
00
10
10
11
10
00
10
11
00
00
11
11
00
11
10
00
00
10
10
00
01
10
00
10
11
11
01
10
00
01
00
01
10
11
11
00
01
11
10
00
10
01
01
01
01
10
10
00
10
10
00
01
11
01
01
10
10
00
01
00
00
10
10
10
10
00
01
10
10
10
10
10
01
00
01
10
10
10
11
10
00
01
10
10
01
00
11
00
01
00
01
11
11
01
01
11
10
00
00
01
10
11
00
01
00
10
10
11
10
01
10
11
00
01
10
01
10
10
01
01
01
11
00
10
01
00
10
10
00
00
10
11
00
11
00
10
10
00
00
01
10
10
00
00
00
00
10
10
00
01
10
01
10
11
10
11
11
01
00
11
11
00
00
10
10
10
00
01
00
10
11
01
10
11
10
10
11
00
11
10
00
00
01
00
01
00
10
10
00
10
10
10
00
00
00
10
11
10
11
00
10
10
11
10
01
00
10
01
00
11
01
00
10
10
10
00
00
11
00
10
00
01
11
11
00
01
10
11
10
11
10
10
11
00
00
00
10
11
10
01
01
01
10
00
00
10
10
01
11
10
10
01
11
00
10
11
00
01
00
10
00
00
10
01
10
11
00
00
00
00
10
00
00
11
00
11
00
11
00
00
10
00
11
10
10
10
01
00
00
01
00
00
01
10
11
00
10
11
01
00
10
00
01
10
10
10
01
00
11
10
00
01
01
10
00
11
10
10
10
00
00
00
10
10
01
00
10
00
00
00
01
10
11
10
00
10
00
01
00
00
10
10
10
00
10
01
00
11
00
10
00
11
11
10
10
00
01
01
01
00
11
00
00
10
00
10
00
10
10
10
10
00
00
00
10
00
01
01
00
00
00
00
11
01
00
01
00
10
00
11
10
10
11
00
01
01
11
00
00
11
00
11
10
11
00
00
01
11
01
01
11
10
00
10
10
00
00
11
10
00
00
00
01
01
00
11
00
11
11
10
11
01
00
10
10
00
00
10
11
10
00
00
10
10
00
01
11
11
11
10
00
10
11
00
11
11
00
00
00
10
01
10
10
10
10
00
10
00
00
00
00
10
01
10
10
11
10
01
00
10
11
10
00
00
01
10
10
01
00
00
10
10
10
00
00
00
01
10
10
00
00
10
01
01
10
00
01
01
00
11
10
10
00
11
00
00
00
10
01
01
10
10
01
01
00
00
10
11
10
00
01
11
10
01
01
00
10
00
00
00
00
10
11
10
00
10
10
00
11
01
01
10
00
00
10
11
00
01
10
00
00
00
00
11
01
00
00
10
00
11
00
10
00
10
10
10
10
11
10
00
01
00
11
11
01
11
10
01
01
11
00
10
00
01
11
11
00
11
10
00
11
00
01
00
00
10
10
01
01
01
10
00
01
10
11
01
00
00
10
10
10
00
00
10
10
00
11
10
10
00
10
00
11
01
00
10
10
00
10
00
10
11
11
01
00
11
00
01
10
01
00
01
10
11
10
01
01
10
11
00
01
10
00
00
10
10
00
10
10
00
00
00
01
00
10
01
10
11
01
00
00
10
11
00
00
10
10
11
11
10
10
10
10
10
10
00
00
11
10
11
00
00
01
01
00
01
01
11
10
10
00
11
10
00
00
11
10
00
00
00
10
10
10
11
00
01
01
01
10
10
10
10
00
00
10
11
01
10
01
00
11
00
01
11
10
00
11
10
00
10
11
00
10
10
10
10
00
00
11
00
10
11
10
01
11
00
00
11
10
11
10
01
11
01
10
00
10
11
00
01
01
10
01
00
11
11
10
01
11
11
00
11
11
10
10
00
00
11
10
00
00
00
00
00
00
10
10
00
10
00
00
10
11
01
10
10
00
01
10
10
00
01
11
00
11
00
11
10
11
10
00
10
01
11
10
10
10
10
00
11
01
10
10
10
00
00
10
11
00
10
10
00
10
10
11
01
01
00
00
01
10
11
01
01
11
11
00
11
10
00
00
10
10
00
11
00
10
00
00
00
00
00
00
00
11
10
00
11
10
10
11
11
00
01
01
01
10
00
01
10
11
00
00
00
10
00
01
01
11
11
01
11
10
00
11
00
00
10
11
01
01
11
10
10
00
01
00
00
10
11
00
10
00
00
01
10
11
10
00
00
01
00
00
01
10
11
00
10
10
00
11
10
10
00
01
00
10
10
01
00
01
11
10
00
11
10
10
10
00
10
11
01
11
11
00
00
10
01
10
00
00
10
10
00
11
00
10
00
11
00
01
10
10
10
01
00
00
10
11
00
10
10
00
10
01
00
10
01
01
00
11
00
00
11
10
00
11
01
10
11
11
00
00
01
11
00
11
11
01
00
00
11
10
00
00
00
10
11
00
00
00
11
10
10
00
01
10
10
10
00
10
01
11
10
10
10
01
00
10
00
10
11
00
01
00
10
10
00
10
10
00
01
00
00
01
11
10
10
10
00
00
00
01
00
10
01
11
10
01
11
00
00
00
00
01
00
10
11
00
01
10
10
00
00
10
00
10
11
00
10
10
00
10
00
10
10
01
10
10
00
00
10
01
11
00
10
11
01
10
00
00
00
10
00
11
10
00
10
10
10
10
10
11
00
11
11
00
11
10
11
11
11
00
00
00
00
00
11
00
11
00
00
11
10
00
01
01
10
01
00
10
10
10
10
00
00
11
11
10
11
00
01
10
01
11
00
00
10
10
11
11
01
00
10
10
00
00
10
00
00
10
01
00
10
10
00
11
10
10
01
10
11
10
01
00
11
11
01
11
10
00
00
00
11
11
01
00
10
01
00
00
10
10
00
00
11
10
10
01
01
01
00
10
10
11
10
00
00
11
01
10
11
00
00
00
10
11
00
10
00
01
10
11
01
00
11
11
00
10
10
00
01
11
11
10
01
10
01
00
11
00
00
11
11
00
01
00
00
10
10
10
00
00
10
11
00
10
11
00
10
01
10
00
00
10
10
00
00
10
01
00
01
00
10
10
10
10
01
00
00
00
10
00
11
10
00
01
00
10
10
01
00
10
00
11
00
00
00
10
01
00
00
11
00
00
00
00
10
10
00
10
01
00
10
01
01
00
10
11
10
10
10
10
10
10
00
10
01
00
00
10
00
10
00
01
10
10
00
00
11
10
10
00
11
10
00
00
11
01
01
10
00
10
10
11
00
11
11
10
11
00
00
10
10
00
00
01
11
00
01
11
10
01
11
11
10
00
01
00
10
10
01
10
00
10
00
01
01
01
10
11
10
11
00
11
11
00
00
10
00
01
00
10
11
10
10
00
11
00
10
10
10
11
10
11
10
10
00
10
00
00
01
10
11
01
00
11
01
00
10
11
00
10
01
00
11
01
10
10
10
00
00
11
00
01
11
00
11
10
10
01
01
10
10
00
00
00
10
11
00
00
10
00
11
10
10
00
00
10
10
01
01
01
01
00
00
00
00
10
10
00
00
01
01
01
11
00
00
11
01
11
10
11
10
00
00
00
10
10
01
00
01
00
00
10
11
00
00
00
10
10
10
01
00
00
11
01
00
10
10
00
11
11
00
11
00
10
10
00
00
00
11
10
11
10
11
00
00
00
00
10
10
11
00
01
00
10
11
10
11
01
00
10
11
10
01
10
00
10
11
01
01
10
10
10
11
11
00
01
10
10
00
10
10
11
00
00
00
10
11
01
00
10
00
00
10
01
00
00
01
11
00
00
10
00
00
00
00
10
10
11
01
10
11
10
10
10
00
00
11
10
00
00
01
00
00
11
00
11
10
11
10
00
10
11
11
00
00
10
01
10
10
01
00
10
00
01
10
10
00
00
10
10
10
00
10
00
00
11
10
01
00
11
01
10
11
00
01
10
00
10
10
01
00
00
11
00
01
10
11
00
10
10
00
01
10
00
11
00
01
11
10
11
00
01
11
10
01
00
11
10
00
00
10
10
00
01
10
10
10
01
00
01
01
01
10
11
00
10
11
01
10
10
01
01
10
10
01
10
11
00
11
11
10
11
10
01
00
10
00
01
10
10
10
01
11
00
10
01
10
01
00
10
00
11
01
10
10
00
00
00
01
00
10
11
10
00
11
10
11
10
01
00
00
10
00
00
11
11
11
11
01
11
01
11
10
11
00
00
00
11
11
00
10
10
10
10
01
01
10
00
01
11
10
01
00
10
00
10
00
00
01
11
11
01
00
01
00
01
11
10
00
10
10
00
00
11
10
00
10
00
10
11
10
00
00
01
10
01
01
01
01
11
11
00
00
10
11
01
10
11
00
00
10
10
01
10
10
11
11
10
00
10
01
00
10
10
01
01
11
01
00
00
10
01
00
10
11
00
00
00
00
00
10
10
00
10
11
01
00
01
11
00
00
10
10
00
11
10
00
10
10
00
10
11
10
10
11
00
10
01
11
11
00
00
00
01
10
11
11
01
01
10
01
00
10
10
01
00
11
11
00
00
00
00
10
00
11
01
00
00
10
00
10
10
11
00
10
00
01
10
00
10
10
10
11
00
11
10
00
11
01
10
10
11
10
11
01
11
10
00
00
00
10
10
01
00
10
00
01
00
10
00
10
00
10
00
01
10
10
11
01
10
00
00
11
10
11
01
00
01
11
01
10
00
00
10
00
10
10
10
00
00
11
10
01
10
00
10
01
00
10
10
00
11
00
00
10
10
10
10
01
00
10
10
10
10
11
01
01
11
01
11
10
10
10
11
10
01
11
00
10
00
00
10
11
11
01
10
10
00
00
00
11
00
10
10
01
00
00
11
11
11
11
00
01
00
00
10
00
00
10
11
01
11
10
10
10
00
11
00
11
10
00
01
10
11
11
00
01
10
10
11
10
00
11
10
10
10
00
00
00
10
01
00
00
00
10
01
00
00
10
00
01
01
10
10
00
00
10
11
01
10
11
10
10
11
00
00
00
01
10
00
10
00
00
11
01
10
11
10
00
00
11
00
01
10
10
00
00
00
10
10
00
00
10
01
11
11
00
00
00
10
10
00
01
01
10
10
00
11
10
01
00
10
00
00
01
00
10
11
10
00
10
11
11
00
10
00
00
11
00
10
11
00
10
00
00
11
10
11
01
00
01
11
10
00
00
10
00
10
10
01
01
00
10
11
10
10
10
11
00
00
11
11
11
10
00
00
10
10
10
00
00
00
00
11
10
00
01
00
00
10
10
00
00
00
10
00
10
10
00
10
11
11
10
00
10
00
10
11
00
01
11
01
10
11
10
10
01
01
10
01
00
10
11
00
00
00
11
10
11
10
01
10
01
01
10
00
00
00
10
10
00
01
11
10
10
00
10
01
11
10
00
01
00
01
00
00
11
11
00
11
11
01
10
10
10
11
01
01
00
10
10
01
01
00
10
10
00
11
10
11
00
10
01
00
11
11
00
00
10
10
00
10
10
00
00
00
11
11
10
10
11
10
00
10
00
11
10
00
00
01
00
10
10
11
10
01
00
11
00
00
10
11
10
01
00
10
01
00
11
00
11
11
11
00
01
11
10
01
01
10
10
11
10
01
00
00
10
11
10
10
01
01
11
10
10
00
10
10
01
00
10
00
01
00
00
01
10
10
10
11
00
00
00
01
10
00
10
10
00
11
10
00
10
00
01
00
10
10
00
00
11
10
10
00
10
01
11
10
00
00
10
00
00
10
10
00
11
11
00
10
11
00
01
00
10
01
00
01
00
00
00
10
10
01
00
10
10
10
10
10
01
10
11
10
10
01
00
11
10
00
01
11
00
10
11
10
00
10
01
01
11
00
00
11
10
00
10
01
10
10
01
10
10
00
10
10
01
11
10
01
10
10
01
00
10
10
10
11
00
11
00
10
00
01
11
10
00
10
00
00
00
00
00
10
00
01
10
01
10
10
00
10
01
10
00
00
00
10
01
01
11
00
01
10
10
01
00
00
00
00
10
11
10
01
10
00
00
11
10
00
00
11
11
11
10
11
01
01
11
00
11
11
00
10
10
00
00
10
11
00
01
00
11
10
00
00
10
10
10
01
00
11
10
00
10
10
10
00
01
10
00
00
10
11
11
00
00
01
00
10
00
11
10
11
00
00
00
10
11
10
10
00
00
10
00
10
10
10
11
11
01
00
01
11
11
11
00
00
00
00
10
11
00
00
00
00
00
01
10
11
00
10
00
11
10
10
01
00
10
00
11
00
10
00
11
01
00
11
00
01
10
10
10
00
10
00
10
11
01
00
11
10
10
10
10
00
10
00
00
10
10
00
00
01
00
10
10
10
10
00
10
10
01
00
11
00
00
00
10
00
00
00
11
10
01
01
10
00
11
10
00
11
11
10
01
00
10
10
00
00
10
10
11
01
11
10
00
00
10
01
11
11
00
01
10
00
11
10
10
01
00
11
00
01
00
10
11
00
10
10
01
00
11
10
00
00
11
00
10
00
01
11
00
10
10
00
00
01
01
00
00
10
00
01
00
11
00
00
10
10
10
00
10
10
00
00
00
00
11
00
00
10
00
10
00
10
11
10
01
00
00
10
10
11
01
01
10
00
00
11
10
00
00
11
11
10
00
00
11
10
00
00
11
00
00
11
01
10
10
00
01
11
00
01
11
00
00
10
00
00
00
10
00
01
10
00
10
11
00
11
10
00
11
10
00
11
00
01
11
10
00
11
10
11
00
01
10
00
00
10
11
01
11
10
10
10
11
01
00
00
10
11
00
01
10
10
00
10
10
00
00
11
00
00
11
10
10
00
11
10
11
00
11
00
00
10
11
00
00
10
10
10
10
10
01
11
10
00
10
01
00
10
00
00
10
10
01
00
10
01
10
00
00
10
00
10
10
00
10
10
11
01
11
11
10
10
11
00
01
11
10
01
01
11
00
00
10
10
00
00
10
10
10
10
00
10
11
00
10
00
10
01
00
10
10
01
01
10
01
10
00
00
11
00
00
11
11
10
00
10
10
00
00
00
10
01
11
10
01
01
10
00
00
10
11
10
10
00
00
00
11
10
10
11
11
10
00
00
00
10
01
11
10
00
10
00
10
11
00
00
11
11
10
10
01
00
01
10
10
10
00
00
11
10
10
00
00
10
11
00
00
11
00
01
00
11
00
11
10
00
01
10
00
00
10
11
00
10
00
01
11
10
00
10
10
00
00
01
10
10
10
11
10
01
01
01
01
01
10
01
11
11
10
01
11
11
00
00
01
10
00
00
00
11
00
11
00
10
11
10
10
00
00
10
10
01
00
10
11
10
10
00
00
00
11
10
00
00
11
11
10
10
00
01
11
01
00
00
10
10
10
00
10
10
11
11
10
00
11
10
11
10
00
00
00
00
11
11
00
00
10
10
10
00
10
00
10
10
01
10
10
10
11
01
11
00
10
00
11
11
00
10
00
00
10
11
10
01
11
01
01
10
00
00
00
10
10
00
10
11
10
00
00
00
10
10
01
00
00
00
10
10
01
01
00
10
00
00
01
01
10
11
00
10
00
10
01
10
11
01
00
01
11
01
11
11
00
10
10
10
01
00
10
10
00
00
10
11
00
01
10
00
10
00
00
11
10
00
01
11
01
00
01
10
00
00
11
00
00
00
10
11
11
10
01
11
01
01
10
10
01
10
11
00
00
11
01
00
10
11
00
01
10
10
10
00
01
01
10
10
10
00
00
00
10
00
10
10
10
11
01
10
00
10
10
10
11
11
01
00
01
10
00
00
10
10
00
10
10
00
10
10
01
01
00
00
11
00
01
00
10
10
00
00
11
11
00
11
10
10
10
10
00
00
10
10
01
00
00
00
10
00
00
10
10
01
10
10
10
10
00
10
00
00
11
10
11
00
11
00
00
10
10
00
00
01
11
00
00
10
10
10
01
01
01
11
10
10
10
10
11
10
00
00
10
01
10
11
00
10
10
10
10
01
11
10
10
10
00
11
00
00
10
10
01
10
01
00
11
10
11
00
00
10
11
00
11
10
00
00
10
10
00
00
01
00
11
11
00
00
10
00
00
10
01
10
10
10
10
00
00
00
11
01
01
01
00
01
10
01
10
11
00
01
11
11
10
00
00
11
00
00
01
10
10
11
00
01
01
01
00
00
10
10
00
11
10
01
00
10
00
00
10
11
00
00
11
10
01
10
00
00
10
00
01
01
10
10
00
00
00
10
01
10
10
01
00
10
01
11
01
01
00
01
00
01
00
10
10
00
00
00
00
10
00
01
10
00
00
00
10
10
00
11
11
01
00
00
10
11
00
10
01
00
00
10
10
10
00
01
10
00
00
11
01
10
10
11
11
11
10
01
00
10
10
11
10
00
10
01
10
11
10
01
11
11
10
00
11
10
00
10
10
00
10
00
01
10
10
00
10
11
10
10
10
01
10
00
10
10
00
01
10
01
00
00
10
00
00
00
10
10
11
01
01
10
10
10
01
11
11
10
00
10
10
10
10
01
00
10
11
10
01
00
00
00
11
00
00
01
11
11
00
00
10
01
01
10
01
11
11
00
00
10
10
10
00
00
11
10
10
10
10
10
00
01
00
10
00
00
00
00
10
10
00
01
11
11
01
00
11
10
10
11
11
01
00
11
00
00
10
11
10
01
00
00
00
10
10
00
10
10
00
00
01
11
11
01
10
01
10
00
00
11
11
00
01
11
00
00
11
10
00
00
01
10
11
10
00
00
10
00
10
10
10
10
00
00
00
10
10
01
11
00
10
00
01
11
10
00
11
00
10
11
00
01
00
11
10
10
01
00
00
11
00
00
11
00
00
10
11
11
01
01
10
00
01
00
00
00
11
10
00
00
11
01
00
10
01
10
00
01
10
10
10
00
00
00
10
10
01
10
10
00
11
00
01
00
00
10
11
10
11
00
00
10
00
10
00
00
10
01
00
00
00
11
00
00
00
11
10
00
10
10
10
00
10
10
00
11
10
10
00
10
01
11
11
10
00
11
11
00
11
11
00
10
00
00
00
10
10
00
00
01
10
00
01
10
00
01
10
01
11
10
00
01
00
11
01
00
10
00
00
00
11
10
10
00
11
11
00
00
11
00
01
11
00
00
10
10
10
00
00
11
10
10
11
01
10
10
00
01
10
01
11
11
00
11
01
11
00
01
00
01
10
10
00
00
10
11
11
01
10
10
00
01
00
11
10
00
00
10
10
10
11
00
10
01
01
11
00
01
10
11
01
10
00
10
11
00
00
10
10
10
00
10
00
00
00
10
11
00
10
10
10
11
01
10
11
01
01
10
10
10
10
11
00
10
10
10
00
10
00
10
10
01
01
10
00
11
00
00
00
11
00
00
01
10
00
10
10
00
00
11
10
01
00
00
10
10
10
00
10
10
00
01
10
10
11
10
10
01
00
00
10
11
00
00
10
10
01
11
01
11
11
00
11
10
10
10
00
00
00
10
10
10
01
00
00
00
10
10
10
00
00
10
01
10
10
00
01
10
10
11
01
01
00
10
11
11
11
00
11
11
00
10
00
01
01
10
10
01
00
00
10
01
11
11
00
10
01
00
00
00
00
10
11
00
10
00
10
00
11
01
11
00
10
00
01
10
10
11
00
00
01
10
11
11
11
00
00
00
10
00
00
10
00
11
11
11
00
11
01
01
11
00
10
11
01
00
11
10
00
11
10
11
00
10
11
01
10
01
00
00
00
00
10
10
00
01
10
10
01
00
10
11
10
11
00
00
00
01
00
01
11
11
10
01
00
10
10
00
00
00
01
11
00
00
10
10
00
11
10
00
00
10
00
10
10
10
11
00
01
10
00
01
01
00
00
01
10
01
01
11
10
10
00
00
10
10
11
00
10
00
11
11
10
10
00
00
10
10
10
11
00
00
00
10
01
01
00
01
10
01
10
10
00
00
11
11
11
10
10
10
01
01
10
10
00
00
11
11
00
00
10
10
10
00
10
10
10
00
11
11
00
10
11
00
10
00
01
10
10
01
11
11
01
10
00
01
10
11
10
00
10
10
10
01
11
11
10
01
10
10
00
00
00
10
01
01
10
10
10
00
10
10
00
11
00
00
00
10
10
10
10
11
00
01
00
10
10
10
01
10
11
00
01
00
10
11
10
11
00
00
10
11
10
00
11
11
00
10
10
00
01
00
11
00
10
11
00
10
10
10
00
10
00
00
00
00
11
01
01
00
11
11
00
10
10
00
11
10
01
00
00
00
11
10
00
00
11
10
11
11
01
10
11
10
01
00
10
11
10
01
00
00
10
00
00
10
10
00
01
10
10
11
01
11
01
11
00
00
01
10
00
00
00
10
00
11
10
01
11
11
00
00
10
11
00
00
10
10
00
00
11
01
10
10
10
10
01
00
11
01
00
01
00
00
11
10
00
10
10
00
10
00
00
10
01
11
01
01
00
10
00
00
11
00
11
10
00
10
11
01
00
00
10
00
01
00
01
10
00
10
10
00
00
11
10
00
11
00
01
00
10
10
00
10
01
00
11
00
00
01
10
01
01
00
10
01
10
01
01
11
11
00
00
11
10
01
00
00
10
10
01
01
10
01
10
11
00
01
10
10
01
11
10
00
00
10
11
01
10
11
01
01
00
10
10
00
00
00
00
10
01
10
00
00
11
11
11
01
10
00
01
01
10
01
00
10
00
01
00
01
10
00
11
10
00
10
00
11
10
01
00
01
10
10
10
00
11
11
10
00
10
01
10
11
11
10
00
00
00
00
00
10
10
11
00
10
10
00
00
10
10
01
10
00
00
11
01
00
10
00
00
01
00
00
10
10
10
00
00
10
10
10
01
00
01
10
00
00
00
10
00
10
10
00
10
10
01
01
01
11
00
10
01
10
10
01
01
10
00
00
01
10
10
00
01
10
10
10
11
10
00
00
00
10
11
10
10
11
10
10
00
00
00
10
11
10
01
11
00
00
10
00
00
10
11
00
00
11
10
11
10
00
11
00
10
11
01
00
01
11
01
00
10
00
00
01
10
10
00
10
10
10
00
00
10
00
10
11
00
10
01
10
11
10
10
00
10
00
00
00
10
00
01
10
01
10
11
00
10
00
10
11
01
10
10
00
00
10
10
01
00
11
00
00
01
00
01
10
01
00
10
00
00
01
10
10
00
11
00
10
01
10
00
10
00
00
11
10
00
01
01
00
00
00
01
00
00
11
10
10
00
10
10
00
11
00
01
11
01
10
10
00
10
10
10
01
00
11
11
11
10
00
00
00
00
00
00
11
00
10
10
00
11
01
00
01
01
11
00
11
01
00
10
10
10
01
10
10
10
11
01
10
10
01
00
10
10
10
11
00
00
10
10
00
10
00
00
10
00
00
01
10
01
00
00
01
00
11
01
00
10
00
00
10
01
00
10
00
00
00
10
01
01
00
01
00
10
10
01
01
00
10
01
10
01
10
01
01
11
11
00
01
10
11
01
01
10
10
11
01
00
00
10
11
00
00
00
00
10
10
10
00
00
00
00
01
10
10
00
00
00
10
11
01
10
10
00
01
00
01
01
10
11
00
11
01
00
00
10
10
10
11
10
01
01
10
00
10
11
00
11
01
00
00
01
10
10
01
01
11
10
00
11
00
00
10
10
00
10
10
00
00
10
11
10
10
00
10
00
10
10
00
01
10
10
00
01
00
00
11
11
00
11
00
10
11
00
00
11
00
01
10
01
10
01
10
11
00
00
00
10
10
00
01
00
10
10
11
00
00
00
00
00
00
01
10
00
01
00
11
00
11
00
01
10
10
10
11
11
01
01
01
00
00
11
00
10
11
10
01
00
01
00
10
00
11
01
00
11
00
00
10
01
10
11
11
10
10
00
01
01
01
11
00
01
00
10
10
11
00
11
10
00
10
01
00
00
10
11
10
10
10
01
00
11
01
01
11
10
10
10
01
00
00
10
11
00
01
01
00
10
11
00
01
00
00
10
10
11
11
01
00
00
10
11
00
10
10
01
10
10
00
10
00
00
11
00
00
10
01
10
11
01
10
10
10
11
00
01
11
10
00
11
00
00
01
10
11
00
01
10
01
00
10
10
00
01
10
01
01
10
10
01
00
11
11
00
00
00
11
00
11
10
00
01
10
11
00
00
11
10
11
00
01
10
01
01
11
00
00
00
01
00
11
10
01
00
00
10
01
00
10
00
10
00
00
10
10
10
10
00
10
01
10
00
00
10
00
01
00
00
10
10
00
11
10
11
01
00
11
01
00
00
11
11
01
00
11
00
01
10
10
01
00
10
10
00
00
10
10
00
10
00
10
10
00
00
10
00
11
10
10
00
10
00
00
00
10
00
00
10
00
10
00
10
00
00
00
10
10
10
10
11
00
01
01
00
10
11
10
00
00
11
00
00
00
01
10
10
00
01
10
00
00
01
10
01
00
10
11
00
10
00
01
10
01
11
11
10
01
10
11
11
10
01
10
10
00
10
01
10
01
10
10
00
11
10
01
00
00
00
00
01
10
01
10
00
10
00
00
11
01
00
10
11
10
10
01
00
11
01
01
10
10
00
01
00
01
10
10
11
01
00
01
11
10
10
01
01
10
00
01
11
10
00
01
10
11
00
01
10
10
00
01
00
10
01
10
00
10
01
00
01
10
01
10
01
10
10
11
10
01
01
00
11
11
01
10
10
00
00
10
10
00
00
10
10
11
01
00
10
00
00
00
00
10
10
11
10
11
10
00
10
10
01
10
11
11
00
00
10
00
00
00
10
00
00
10
00
01
11
10
01
01
10
00
11
00
10
10
00
00
00
01
10
01
01
10
10
00
00
11
00
00
10
10
01
11
01
00
01
00
10
10
01
00
10
11
00
10
10
00
11
00
00
10
11
00
00
10
10
00
10
01
00
01
00
10
10
00
00
11
11
01
11
10
10
10
00
00
11
10
00
11
10
00
10
00
00
00
00
10
11
10
00
00
01
00
10
10
01
00
11
10
10
01
00
00
10
01
01
10
01
01
00
01
00
11
10
00
10
10
10
01
11
10
00
10
00
00
10
10
00
11
10
10
00
00
11
01
01
10
01
10
00
01
01
00
11
10
01
00
00
11
00
00
10
10
01
00
00
10
10
00
00
00
00
00
10
10
11
10
11
00
00
01
11
10
00
00
10
00
00
11
10
10
01
01
11
00
00
00
00
10
10
00
00
10
10
10
00
00
00
01
01
00
10
00
00
10
11
10
10
10
00
00
11
00
00
10
00
11
01
00
11
00
00
01
00
10
10
10
01
11
10
01
00
11
00
00
11
01
01
00
10
00
00
11
11
00
01
00
10
10
00
10
10
11
10
00
00
11
10
10
10
00
00
00
00
10
10
11
10
10
00
10
01
11
01
10
01
00
00
00
11
10
00
00
10
10
00
10
01
00
01
00
10
11
10
10
10
01
00
01
00
11
00
01
11
10
01
00
11
10
00
00
01
11
01
01
10
00
00
00
00
11
10
10
00
01
11
11
10
00
00
10
10
00
10
10
10
10
10
00
00
00
10
10
00
11
11
11
10
00
11
10
10
00
00
10
00
11
10
11
10
01
00
01
00
01
10
10
00
00
00
11
10
11
10
01
11
10
10
01
10
10
01
00
11
10
00
01
00
10
10
10
10
01
01
10
10
01
00
01
00
01
10
11
11
00
11
00
00
10
10
10
00
10
11
10
00
00
11
00
01
11
00
11
10
01
00
11
10
01
01
10
01
00
10
10
00
11
00
00
00
01
01
10
01
10
10
11
11
00
00
00
10
11
00
01
10
11
10
10
01
10
11
10
01
00
10
00
00
01
11
11
01
00
11
00
00
00
00
10
10
00
00
00
10
10
00
00
01
00
11
00
01
10
10
10
10
11
11
10
00
10
00
11
01
10
01
11
00
00
10
11
01
01
00
10
01
00
10
10
10
00
00
10
10
11
00
01
01
10
01
10
11
10
01
00
00
11
10
11
00
01
11
00
01
00
10
00
11
10
00
10
00
01
00
00
00
11
00
00
01
10
10
00
10
01
00
11
01
00
10
11
00
01
10
10
11
00
01
10
10
00
10
10
10
00
01
10
11
11
10
00
10
00
00
00
00
10
00
01
10
00
01
01
10
10
10
10
00
10
01
00
00
10
10
00
10
00
01
00
10
01
10
00
01
00
01
10
10
10
11
00
00
11
11
10
00
00
00
00
01
10
01
01
00
11
10
10
11
01
00
00
10
10
00
10
10
01
01
10
11
00
00
11
01
10
10
01
00
11
10
00
11
01
10
11
11
00
10
00
00
01
01
11
11
01
10
10
00
00
01
00
10
10
00
10
00
01
01
11
11
10
00
10
11
01
00
10
10
00
00
11
00
10
10
10
00
10
10
00
00
01
00
00
00
00
11
00
11
10
01
11
00
00
00
00
10
01
01
10
10
11
11
00
00
00
00
10
11
00
10
10
10
10
00
11
01
01
00
01
01
00
00
00
10
11
10
10
00
01
11
01
00
10
01
01
11
10
00
01
11
10
01
00
10
10
10
11
10
00
00
00
10
10
01
00
11
00
11
11
11
10
00
00
00
10
10
10
00
00
01
10
10
10
00
10
00
01
11
10
10
00
00
11
00
00
11
00
10
00
10
10
01
11
00
10
11
11
11
00
00
01
10
00
00
00
10
10
11
00
01
00
00
10
11
11
00
10
11
11
00
00
10
11
01
10
01
00
01
11
11
10
00
10
10
01
00
00
10
10
00
10
00
01
10
00
10
01
01
00
11
11
00
11
10
11
10
00
00
00
00
11
00
00
01
11
01
00
00
10
10
11
01
01
10
10
01
01
01
10
00
00
10
10
10
11
11
01
11
10
00
10
10
00
10
00
00
11
10
10
11
01
10
00
10
00
10
00
10
10
00
00
11
10
01
00
11
00
11
10
00
00
01
10
01
10
10
00
01
01
11
01
01
01
00
10
01
10
00
00
10
10
10
01
00
00
11
10
01
10
10
10
10
01
10
11
00
10
11
00
11
01
11
01
00
01
01
10
10
00
00
10
10
01
00
00
11
00
11
01
00
11
10
00
01
10
10
11
11
00
10
10
00
00
00
00
10
00
00
11
00
01
10
10
10
10
00
10
00
11
01
10
11
00
00
10
01
00
11
00
00
11
00
00
10
01
01
00
00
10
10
00
01
00
00
00
11
00
11
00
00
00
10
10
11
00
01
10
01
10
10
00
00
10
10
00
10
00
10
11
11
00
00
00
10
11
10
10
00
00
01
10
11
00
11
10
10
10
00
10
00
01
01
00
10
00
10
11
10
10
11
11
00
11
00
01
10
10
01
00
00
10
10
00
00
11
11
00
00
10
10
11
01
10
00
11
10
11
10
00
10
11
10
00
01
10
10
01
10
10
10
01
00
11
11
00
11
01
10
01
00
10
10
11
00
11
11
00
00
10
10
11
01
00
10
00
00
10
10
10
00
10
01
00
00
00
00
10
01
01
10
10
10
10
01
11
00
11
10
01
00
10
10
00
10
00
00
00
00
01
10
00
11
00
10
11
00
01
00
11
11
01
01
00
00
10
01
00
10
00
00
01
10
01
10
10
10
11
00
00
01
10
10
01
10
10
00
10
01
01
01
10
10
10
00
11
00
11
10
10
01
10
01
10
00
01
00
11
00
00
01
01
01
10
10
00
11
10
00
00
11
00
00
11
10
10
00
00
10
01
00
11
00
10
00
10
01
00
00
10
10
11
00
01
10
10
11
01
10
00
01
10
00
00
01
11
00
10
11
10
10
00
01
00
10
00
01
10
10
11
00
00
00
01
10
10
11
00
10
01
01
11
00
10
11
00
01
10
00
01
00
00
10
01
01
10
10
10
11
00
11
10
00
11
01
00
11
01
10
11
00
01
10
00
00
10
11
00
10
00
00
10
10
11
00
01
00
00
10
10
10
11
00
00
01
10
10
11
01
01
10
11
00
01
00
00
10
00
01
10
00
00
10
10
10
00
00
10
10
01
11
00
11
00
01
00
10
10
01
10
10
00
00
01
11
01
00
00
00
10
01
00
11
01
10
00
10
11
10
10
00
10
10
01
10
00
10
10
10
00
01
10
10
10
00
00
10
10
00
11
10
10
10
10
10
11
10
00
00
10
10
00
11
11
00
11
00
11
10
00
11
00
10
10
00
00
00
10
01
00
11
00
00
10
10
11
01
00
11
10
10
11
01
00
10
00
00
00
10
10
00
01
10
11
00
10
11
00
00
10
00
00
01
11
10
10
00
00
01
00
00
10
01
10
11
10
00
00
10
00
10
10
00
00
10
10
00
00
00
10
00
10
01
10
11
00
10
10
01
00
00
11
10
01
10
10
00
10
00
00
01
10
11
10
00
10
00
10
10
10
10
10
00
00
00
01
10
00
00
10
00
01
10
00
00
01
10
10
11
10
01
11
00
10
00
00
00
00
11
10
10
00
01
10
10
00
10
10
01
10
01
00
11
11
10
01
10
00
00
10
10
10
00
10
00
00
00
00
11
00
10
10
01
01
11
10
11
00
01
11
10
00
01
11
10
00
00
10
01
10
11
01
00
11
00
11
10
01
01
00
10
11
00
00
10
11
01
01
00
11
10
11
00
01
10
10
00
00
10
10
10
01
00
10
10
00
00
10
11
11
10
00
10
00
10
11
00
10
11
00
11
10
10
01
01
10
01
11
11
00
01
10
11
00
00
10
11
00
11
10
00
10
10
01
00
01
00
00
01
10
00
10
00
11
11
01
11
00
01
10
01
01
11
01
01
11
10
10
01
00
10
10
01
00
00
00
00
00
11
10
10
11
00
11
10
00
00
00
00
01
00
10
00
00
01
11
10
01
10
00
00
10
01
01
10
10
10
11
00
10
10
00
00
11
11
01
00
10
00
10
00
10
10
00
00
00
10
11
00
10
10
00
01
01
00
10
00
01
00
00
10
11
11
01
01
10
00
00
10
10
00
00
10
10
11
11
10
10
00
01
00
01
10
11
10
00
10
10
00
00
01
10
10
00
00
11
00
00
11
00
01
00
11
10
01
00
11
10
00
10
01
01
10
10
00
11
10
10
11
10
01
00
00
10
01
10
01
10
10
10
00
00
11
10
01
01
01
11
00
01
01
10
11
10
11
01
00
00
11
10
10
11
00
11
11
01
00
00
11
10
10
01
10
10
11
00
00
01
00
10
11
01
00
10
10
10
10
00
10
00
10
10
10
00
01
11
10
11
10
11
01
00
10
10
00
10
10
01
01
11
10
10
11
10
00
00
01
10
00
00
10
11
00
00
00
10
10
00
10
10
00
00
01
00
10
01
00
11
10
00
11
01
01
10
11
00
00
00
00
11
11
00
01
11
11
00
10
01
10
10
11
10
00
00
00
01
11
01
11
01
00
00
11
11
10
00
00
10
10
10
00
00
00
11
01
00
10
11
11
10
00
00
10
10
00
10
01
10
11
10
00
00
00
00
01
11
10
10
10
00
00
01
01
10
00
01
00
11
11
10
01
10
11
00
00
11
11
01
01
11
10
00
00
11
01
10
10
01
01
00
10
00
00
11
11
10
10
10
11
11
00
01
00
10
00
10
10
00
00
10
11
00
00
00
10
00
00
11
11
01
01
00
10
10
00
00
01
11
11
10
01
00
11
10
00
01
10
10
00
00
01
11
10
00
11
11
01
00
10
10
11
00
10
10
01
01
11
00
11
01
11
01
00
00
00
00
10
00
11
10
00
00
10
10
00
10
10
00
11
10
00
00
00
00
10
10
00
00
10
00
10
10
00
00
01
00
00
10
10
01
00
10
10
11
01
00
00
00
10
10
01
10
00
10
10
10
11
01
01
00
10
10
01
10
00
01
10
10
00
01
10
01
00
10
10
01
10
11
00
10
00
11
10
11
00
00
10
10
11
10
00
00
10
00
00
00
10
01
00
11
00
00
00
10
11
00
01
00
11
00
10
11
11
01
00
10
10
00
00
11
00
00
00
11
10
10
10
00
10
11
01
11
01
00
11
11
00
00
00
10
01
00
10
01
00
01
10
01
00
00
00
11
00
10
00
00
10
11
11
00
10
10
00
00
10
00
11
00
11
10
01
01
11
00
10
00
00
10
11
00
11
10
10
11
00
00
11
01
00
10
00
10
10
01
00
10
00
10
10
10
10
00
00
01
01
10
10
01
11
00
00
11
11
00
10
00
00
01
10
10
01
00
00
10
00
10
10
11
10
00
01
10
00
01
10
10
11
00
01
11
00
10
10
00
10
10
01
01
11
10
01
00
11
00
00
10
11
11
10
00
00
01
00
10
11
01
00
10
10
10
01
10
01
01
11
00
10
11
01
00
11
11
00
00
00
10
00
10
00
00
10
10
11
00
00
10
00
00
00
10
00
00
00
01
10
00
00
11
10
11
11
00
10
10
10
11
10
00
00
10
11
00
11
11
00
11
01
00
11
11
00
00
00
11
10
00
00
10
10
10
00
01
10
00
00
10
10
00
01
00
00
10
10
00
11
01
01
01
10
10
01
11
11
01
00
11
00
01
00
00
00
11
10
10
00
11
01
00
01
10
10
10
00
10
00
11
10
10
01
00
10
00
10
01
00
10
11
11
01
10
01
10
00
00
01
10
10
01
11
10
10
10
00
00
10
01
11
00
01
11
10
11
00
10
00
11
10
10
00
00
10
10
01
00
11
01
10
00
01
11
01
10
01
10
10
01
10
11
10
11
11
01
00
00
01
10
10
00
01
10
10
10
00
00
11
10
00
00
11
10
11
10
00
10
10
01
00
11
10
10
01
01
01
00
10
11
10
10
00
01
10
10
11
01
00
10
00
11
10
01
01
00
01
00
00
10
10
00
00
01
01
00
10
10
11
00
01
11
10
11
10
01
11
10
01
01
00
10
01
00
10
01
00
11
00
00
11
00
11
01
11
00
01
10
00
01
10
11
00
01
10
01
10
10
10
01
00
10
01
01
11
00
00
10
11
00
00
11
10
00
01
00
11
00
00
01
10
00
00
00
10
11
10
10
01
10
11
10
10
10
10
01
10
00
01
10
00
11
11
11
01
00
11
00
00
10
00
10
10
10
01
01
11
00
11
11
10
10
00
01
10
00
00
10
00
01
00
11
11
00
10
00
00
00
00
10
10
00
00
10
00
11
10
11
11
10
00
00
00
10
10
00
10
00
00
10
11
10
00
10
11
11
10
11
00
00
00
00
10
00
11
11
11
10
00
10
10
00
01
11
10
00
11
00
10
10
11
11
00
01
01
10
10
00
00
00
10
10
10
00
00
11
00
10
01
10
00
00
10
11
00
10
10
01
11
00
00
01
11
01
10
00
01
10
00
11
10
01
10
10
00
00
10
10
11
00
11
01
01
10
10
00
01
11
10
10
00
11
00
10
00
01
10
10
10
01
11
10
00
10
00
01
01
01
10
01
10
00
11
10
00
00
00
01
10
10
00
01
00
00
10
10
11
00
11
00
11
11
00
00
10
10
01
01
00
10
10
00
10
10
00
10
00
10
01
10
11
01
00
10
00
10
10
11
00
11
01
01
00
10
11
00
00
10
11
10
11
00
00
10
00
00
00
10
01
00
10
00
10
10
10
11
01
11
00
10
10
10
11
01
10
11
00
00
01
11
00
10
10
00
01
01
10
10
10
00
00
00
01
10
00
00
00
00
01
10
10
10
10
11
00
00
11
00
00
11
01
00
10
01
01
10
00
00
10
11
00
11
10
10
00
10
10
01
00
10
10
10
00
00
10
11
01
01
01
10
10
01
11
00
00
10
11
00
00
11
10
00
01
10
00
01
00
10
10
01
10
10
10
01
01
11
10
00
00
10
10
11
10
01
01
10
10
11
01
01
10
10
00
00
10
00
11
11
10
11
01
00
00
10
01
11
00
00
10
11
00
10
11
00
10
10
01
10
10
10
00
10
00
11
11
10
00
00
01
01
10
10
00
10
11
11
00
00
10
11
00
10
00
00
00
10
10
00
10
10
11
10
01
00
01
11
10
10
10
00
00
00
10
11
01
00
00
11
01
00
01
10
01
00
10
00
00
11
10
00
11
11
10
01
10
00
11
11
01
11
10
00
00
10
00
10
10
01
01
11
00
01
11
00
00
10
10
00
00
00
10
10
00
10
00
00
00
01
01
00
00
00
11
10
10
00
00
11
11
00
00
01
10
10
00
00
10
10
11
11
10
10
11
10
10
00
10
01
00
10
11
00
00
10
01
11
11
00
11
10
01
11
01
10
00
00
01
00
10
01
10
00
00
10
10
10
00
11
00
00
10
00
00
10
10
01
00
01
10
10
00
00
11
10
01
10
10
10
11
00
00
10
10
00
00
10
10
00
00
10
01
00
01
10
00
00
00
10
10
10
00
00
11
10
00
00
01
10
11
01
00
10
01
11
10
11
11
00
10
10
00
00
00
00
10
01
01
01
00
10
11
00
01
10
01
01
10
01
11
00
00
11
11
00
10
10
00
10
10
01
10
01
10
10
11
00
10
11
10
00
00
11
00
00
01
10
11
01
01
01
11
10
00
10
00
01
10
11
00
00
10
00
00
00
01
10
10
10
10
11
11
10
00
10
11
01
11
01
01
01
01
10
10
00
10
00
10
10
00
01
00
00
11
11
00
11
11
01
00
11
10
01
10
00
10
11
11
00
10
01
00
10
11
10
00
01
11
00
11
10
01
01
00
00
10
01
11
11
10
11
00
00
00
10
00
10
10
00
00
10
00
01
10
00
10
11
10
11
10
01
00
01
00
01
00
11
01
10
10
00
11
11
10
00
00
10
01
01
01
10
11
00
10
10
00
11
11
00
01
10
10
11
10
11
10
01
00
00
00
10
10
11
00
00
10
10
11
00
01
01
00
01
10
11
11
10
00
01
00
11
10
00
10
11
00
00
10
00
10
00
00
01
10
11
10
11
10
11
10
10
11
10
01
00
10
00
01
01
00
11
10
00
00
00
00
10
11
00
01
10
00
10
01
00
00
00
11
11
01
00
11
10
01
00
11
10
00
00
10
01
11
10
11
01
00
00
11
00
01
10
10
11
01
00
01
10
10
10
00
00
10
00
00
10
00
00
01
00
10
00
00
00
11
10
00
10
00
10
10
00
10
10
11
01
00
10
00
00
10
10
00
00
10
10
00
10
11
00
10
01
10
00
10
10
00
01
10
10
01
00
10
11
11
10
00
00
11
10
10
10
01
00
11
10
10
01
01
01
10
10
00
00
10
10
00
10
10
00
11
00
11
11
10
00
01
11
00
00
10
00
10
10
01
10
10
11
01
01
10
10
10
00
10
10
11
00
01
10
00
01
10
00
10
11
00
10
00
00
11
00
11
00
11
10
10
00
00
00
11
10
00
10
11
00
10
10
01
11
10
10
11
00
00
00
00
00
10
11
10
11
10
10
00
10
10
01
00
11
11
00
00
00
10
10
00
00
00
00
11
10
00
11
10
00
00
10
11
10
10
01
10
10
01
00
00
11
00
01
01
10
01
11
10
10
10
01
11
11
00
01
10
00
00
11
10
00
10
11
10
10
10
00
11
11
10
10
10
01
00
11
11
00
00
00
01
00
01
11
01
01
10
00
11
00
01
11
11
01
00
00
10
00
01
10
11
10
00
00
10
00
11
10
00
00
01
10
00
00
10
01
00
00
10
01
00
10
00
10
00
00
11
00
10
10
01
11
10
10
00
10
00
11
11
10
00
00
10
10
00
00
01
10
10
00
00
10
00
10
00
10
01
10
11
01
00
11
10
10
10
00
00
10
10
10
10
11
00
01
00
00
10
11
01
00
00
10
11
00
10
10
11
00
11
01
00
10
10
01
11
01
10
10
10
00
00
00
01
00
10
00
00
10
11
01
11
00
00
01
00
00
01
10
10
00
00
11
11
00
01
10
11
00
01
10
11
10
01
01
10
11
01
00
10
10
00
00
10
11
00
01
00
10
00
00
11
10
01
00
10
11
10
10
10
00
00
00
00
11
01
01
11
10
01
00
10
10
10
00
10
11
10
01
01
10
01
00
01
01
10
10
10
01
01
10
10
00
00
10
00
10
01
01
00
00
10
11
00
10
10
01
11
11
00
00
01
00
11
11
10
00
00
10
01
11
10
00
01
10
10
11
11
10
01
00
00
10
00
10
10
10
01
00
00
00
01
10
01
01
10
10
10
11
00
00
10
10
00
10
10
01
00
10
10
00
00
10
01
00
10
10
11
00
00
00
10
11
00
10
01
11
10
00
00
00
10
10
10
10
01
10
00
00
10
11
11
00
10
00
01
11
01
00
00
00
10
00
00
10
11
11
01
11
01
00
00
00
01
00
10
10
00
10
10
01
00
10
10
11
10
10
10
01
10
00
00
00
11
00
11
10
10
00
11
10
00
01
10
11
10
00
11
00
00
10
00
01
10
01
01
10
01
00
10
10
11
00
00
00
10
00
11
00
00
10
10
10
10
00
00
00
01
11
00
11
11
00
01
00
10
01
11
10
00
00
00
10
00
00
11
00
00
00
10
00
01
10
00
10
00
00
11
10
10
10
00
00
10
00
00
00
11
00
01
11
00
00
11
01
10
10
10
00
11
10
11
10
01
00
01
01
10
10
00
00
11
01
10
11
10
11
11
01
11
11
01
00
01
00
10
10
00
00
10
00
01
00
11
11
10
10
00
11
10
00
00
11
01
00
00
00
10
11
10
10
00
10
11
00
11
11
11
01
00
00
10
10
00
01
10
10
00
00
10
10
10
00
00
11
00
10
11
10
00
00
10
10
01
00
00
11
00
00
00
00
10
00
00
10
10
00
10
00
11
00
11
00
01
00
00
00
11
00
00
00
10
10
11
00
01
01
00
10
10
11
00
11
10
00
11
11
00
00
10
11
01
10
00
00
01
10
00
11
10
00
00
00
01
01
10
11
10
01
00
00
11
00
00
10
10
00
11
10
00
10
01
10
10
10
11
00
11
00
10
11
00
00
10
01
00
01
11
11
10
01
00
01
11
00
00
10
00
01
01
10
00
00
11
11
00
00
10
10
01
01
01
10
10
10
10
00
11
10
11
00
01
00
00
00
00
01
10
01
01
11
11
00
11
00
01
01
10
10
00
00
10
00
00
10
00
00
11
11
01
01
00
01
01
01
11
00
10
10
10
00
10
10
00
00
11
00
00
11
10
10
01
00
10
01
01
10
10
00
11
10
00
00
00
10
00
10
11
10
11
00
11
00
10
00
11
11
00
00
01
11
01
11
10
01
11
11
00
11
10
01
10
10
01
10
10
00
11
10
10
00
00
00
00
10
11
00
00
11
01
11
00
11
11
10
00
00
11
10
00
00
10
01
10
10
11
10
01
00
11
10
10
00
00
01
11
11
00
10
11
00
01
11
10
00
00
10
00
10
11
10
10
01
11
00
00
00
00
00
11
00
10
01
11
00
00
11
11
11
00
10
01
00
00
10
10
01
00
01
10
10
00
10
10
00
01
10
00
00
10
10
10
00
00
00
11
01
00
00
10
10
00
10
10
11
00
01
01
01
11
01
00
01
10
01
00
11
10
00
00
10
10
10
11
01
00
10
10
00
10
00
00
10
01
00
00
11
00
10
10
10
00
10
01
11
00
01
10
00
00
00
10
10
01
00
10
01
00
10
10
11
00
00
01
00
10
00
00
01
10
00
10
10
00
11
10
10
00
10
10
10
00
00
10
11
01
01
11
10
01
00
11
00
00
10
10
00
00
00
00
00
01
00
00
01
00
11
10
00
00
00
10
10
00
01
01
10
10
10
10
10
00
00
10
10
00
00
00
10
10
10
01
00
10
11
01
10
01
10
01
10
10
01
00
00
10
11
01
10
11
01
10
10
00
01
00
11
10
10
10
01
01
00
10
00
00
10
10
10
00
00
10
00
00
10
10
11
00
00
10
11
10
10
01
00
10
11
00
10
00
10
01
11
10
00
11
10
01
10
00
11
10
11
00
00
10
10
00
01
01
11
10
10
10
00
01
00
11
11
00
00
11
11
00
00
10
11
01
10
10
00
11
10
00
00
00
10
00
10
11
10
01
00
10
01
00
10
00
00
10
10
10
10
10
00
01
10
10
10
00
00
00
11
10
11
10
00
01
10
10
00
00
11
11
10
10
00
10
10
11
11
01
00
10
10
00
00
00
01
10
01
00
10
10
00
00
10
00
01
10
10
01
10
00
10
10
00
00
10
10
00
11
10
10
00
10
10
10
00
01
10
10
10
01
00
10
01
10
10
00
11
10
00
10
00
11
10
00
00
10
11
00
10
00
01
10
11
00
00
10
00
11
10
01
01
10
01
10
00
00
11
10
10
11
10
10
11
10
01
00
11
11
00
00
00
00
00
01
10
10
00
01
00
00
00
11
00
00
01
00
01
11
00
10
01
11
10
01
11
01
10
10
10
00
10
10
01
00
10
10
10
01
10
00
10
00
11
00
00
10
00
00
00
10
10
00
10
11
11
11
11
00
10
10
10
11
00
10
10
00
01
10
10
11
10
01
00
10
10
01
00
01
00
01
11
10
10
10
10
00
11
00
00
11
10
10
00
00
11
10
01
10
00
10
00
00
10
10
00
01
00
00
01
10
10
00
00
10
00
10
11
00
00
10
10
00
00
11
10
01
10
00
10
00
01
11
01
01
10
00
10
10
01
00
10
01
00
10
10
00
00
00
00
10
10
10
11
00
10
00
11
10
11
00
00
11
00
11
01
10
10
00
10
01
00
01
00
11
10
10
10
11
01
00
01
10
10
00
10
00
00
01
11
10
10
10
11
00
10
10
11
11
00
00
10
10
11
01
00
10
00
11
01
11
11
10
00
10
10
00
00
11
11
11
00
00
11
00
01
01
00
11
11
01
00
00
11
10
01
00
00
00
10
11
00
01
10
00
10
10
01
00
01
11
00
11
10
10
01
10
10
10
00
00
10
00
00
10
10
10
00
10
00
01
00
10
10
10
01
10
10
11
00
10
01
00
11
10
00
00
00
10
00
11
00
01
00
00
10
01
10
10
10
01
01
10
00
10
10
00
01
01
10
10
10
00
10
10
01
01
10
00
00
10
10
01
01
10
00
11
00
00
00
00
11
11
10
11
00
01
00
00
10
01
01
10
10
00
01
11
01
11
10
00
10
10
00
00
11
10
01
01
10
10
00
11
00
01
10
11
00
01
11
01
01
01
11
11
01
01
11
10
10
01
00
11
10
01
00
11
11
00
00
01
10
10
10
00
10
00
00
11
11
10
00
00
10
10
01
00
10
10
10
00
00
01
00
00
01
11
11
00
11
01
00
11
11
10
00
01
10
11
00
10
00
10
10
00
00
10
10
00
10
10
11
10
11
10
00
00
10
01
10
10
01
10
11
11
00
00
11
01
10
01
00
11
10
11
01
11
00
00
10
10
10
01
01
00
10
10
10
01
10
00
00
10
11
10
01
10
00
10
00
00
10
00
00
00
10
11
00
11
00
11
00
11
10
01
10
11
01
10
01
00
00
10
01
01
00
00
00
11
10
01
11
01
11
11
00
10
00
11
10
10
00
01
00
10
01
10
00
10
10
00
10
00
10
10
00
10
00
01
00
01
10
10
00
10
10
00
00
10
00
11
10
10
00
10
00
00
10
00
01
11
01
01
01
10
01
11
01
00
10
10
11
10
11
00
01
10
10
00
01
00
10
00
00
10
01
00
01
00
10
00
10
00
11
11
10
10
01
01
00
10
00
01
10
11
10
10
01
10
00
01
10
10
10
01
11
01
00
11
01
10
10
00
00
11
11
00
10
00
10
10
00
01
11
01
00
00
10
10
01
11
00
00
11
10
00
00
10
00
00
10
00
01
11
10
10
10
00
10
01
01
00
01
10
10
11
00
10
10
01
01
10
10
00
10
00
00
00
01
01
10
00
10
10
10
10
11
01
00
10
11
00
01
01
01
10
10
00
00
10
11
10
01
10
10
00
00
11
10
10
10
01
00
01
00
10
10
10
00
10
00
00
11
11
01
10
01
01
10
01
00
00
00
00
10
10
10
10
10
00
00
01
00
11
10
01
00
00
10
00
01
10
00
11
10
01
10
10
10
10
11
00
10
00
01
00
01
01
00
00
10
11
10
00
00
10
01
00
10
01
00
10
11
10
00
10
00
00
10
10
10
11
11
00
00
00
01
10
11
00
00
11
10
11
01
11
10
00
11
10
01
00
10
10
00
10
10
10
00
00
10
00
00
00
00
10
10
10
10
10
10
00
00
01
01
01
10
00
11
00
11
11
10
00
01
10
10
10
01
00
11
11
00
01
11
10
10
10
00
01
11
00
10
11
10
10
00
01
11
00
00
10
00
10
01
01
00
01
00
10
00
00
00
00
10
10
11
01
00
10
11
00
00
11
11
10
01
00
00
10
10
10
10
00
01
01
10
11
00
10
10
00
10
00
00
10
10
00
00
00
10
10
00
01
10
11
10
00
00
00
11
10
11
00
01
10
11
10
01
11
11
00
00
00
00
10
10
01
00
00
00
00
11
10
10
10
00
00
01
10
11
00
11
10
00
11
10
11
00
00
10
00
10
00
01
10
00
10
01
10
00
00
11
01
01
10
10
10
11
10
01
00
11
10
11
01
00
00
10
00
00
10
01
00
11
10
10
01
00
10
10
10
01
10
10
00
00
00
00
00
10
01
10
10
00
10
10
00
10
11
10
00
00
10
01
00
00
01
11
10
10
00
10
00
00
10
01
00
10
10
00
00
10
00
00
00
00
10
11
10
00
01
11
10
00
00
10
10
01
01
10
10
10
10
01
10
10
00
10
00
00
10
10
00
00
01
00
00
11
10
01
00
00
01
10
11
00
10
10
00
00
11
10
00
10
00
00
10
00
10
00
00
10
01
00
00
10
10
00
00
01
10
10
10
00
11
10
10
11
01
10
10
00
10
00
10
10
00
10
11
00
01
01
01
10
00
10
10
10
10
01
10
00
00
10
01
10
11
10
10
10
00
00
00
11
11
11
00
00
00
10
00
01
10
10
10
00
10
11
10
11
00
00
00
00
00
11
10
01
10
10
00
11
10
00
11
01
10
00
10
10
00
11
11
00
10
10
11
00
11
00
10
10
00
10
10
00
01
10
01
10
00
10
01
01
11
10
00
00
00
10
10
10
01
10
10
11
01
10
10
10
11
00
11
00
10
00
00
11
11
10
01
11
11
01
10
10
00
10
10
10
11
11
00
00
01
00
00
10
00
01
00
10
10
10
00
11
01
00
10
01
10
00
10
10
10
00
10
00
00
11
00
01
10
10
10
10
00
00
01
11
00
11
10
00
11
10
11
10
10
01
10
11
01
00
10
10
10
00
00
01
01
11
10
10
10
10
00
01
10
00
11
00
10
10
00
11
00
10
00
10
11
10
10
00
11
00
10
00
00
00
00
01
10
00
11
00
00
10
10
00
10
10
01
00
11
00
00
11
11
10
00
10
10
10
00
01
10
11
00
10
10
11
10
00
10
11
11
00
00
11
00
00
10
00
11
00
10
10
11
01
00
01
01
11
00
11
11
10
00
10
11
10
11
00
00
00
01
11
00
00
10
10
10
11
00
10
10
01
00
10
10
10
11
00
00
00
01
10
11
11
11
11
10
00
00
10
10
01
01
10
10
10
00
11
10
10
01
10
00
10
00
00
10
11
10
11
11
10
10
00
10
00
01
10
00
00
10
00
11
00
01
10
11
10
00
00
01
10
11
10
01
11
01
11
10
01
01
00
10
00
00
00
00
10
10
11
00
10
01
10
10
11
00
00
10
11
11
00
00
10
00
10
00
00
00
01
11
00
00
10
00
01
01
11
11
00
00
01
10
00
00
11
10
10
10
10
00
01
00
00
10
11
00
01
10
01
01
01
01
10
00
01
11
10
10
10
01
01
10
00
00
01
11
00
00
01
10
01
00
01
01
00
00
10
10
00
01
11
10
00
00
10
10
01
11
10
00
00
01
00
00
11
10
11
00
00
00
10
01
10
00
01
01
10
00
01
10
11
11
00
01
10
10
00
10
10
01
00
11
10
00
01
10
00
10
11
10
10
01
00
11
10
01
11
00
10
10
00
01
00
10
10
10
00
00
00
10
10
11
10
01
11
10
10
01
11
11
00
00
11
10
10
00
00
10
01
10
11
00
10
10
00
00
00
10
11
00
10
10
00
11
01
10
00
00
11
00
01
00
10
01
01
01
10
10
01
00
00
00
01
11
11
11
11
01
00
10
10
10
11
00
01
00
00
10
01
10
00
00
10
10
10
10
10
00
11
10
11
00
01
00
00
10
01
00
11
01
10
10
10
00
11
10
00
10
00
11
10
00
00
00
01
01
10
01
11
00
10
10
00
00
11
11
10
01
10
00
01
00
01
01
01
11
10
00
01
10
00
01
00
00
11
11
11
11
11
10
10
10
10
01
01
10
00
01
11
00
01
10
11
10
10
00
00
10
11
10
01
10
01
10
11
11
00
00
10
10
00
00
11
00
00
10
10
10
00
10
01
00
11
10
11
11
11
10
00
00
10
00
00
10
10
11
00
00
00
11
10
00
10
00
00
01
01
01
10
01
01
11
10
01
10
10
10
01
10
11
01
01
11
10
01
00
11
10
11
00
10
10
01
10
10
11
00
11
10
01
00
10
10
01
00
10
00
10
10
01
10
00
10
10
00
11
00
00
10
10
00
00
00
10
01
00
10
00
00
01
11
01
01
00
10
11
00
01
10
00
11
10
00
10
01
10
11
10
10
00
00
11
00
00
10
11
11
10
11
01
01
10
10
00
11
11
01
10
10
00
10
00
00
00
00
00
10
10
00
11
10
11
01
10
00
10
00
10
10
01
10
01
00
10
10
10
00
00
00
11
10
00
10
00
10
10
00
01
11
11
10
01
10
10
10
00
01
10
11
00
10
00
01
11
10
00
00
11
00
00
00
10
11
11
00
11
00
00
10
00
00
00
10
10
10
01
11
11
00
11
00
10
10
00
00
10
00
00
10
10
10
11
11
10
01
01
11
01
00
10
10
00
00
00
11
11
10
11
10
00
01
01
00
10
00
00
00
01
10
01
01
00
11
11
10
10
00
01
10
00
10
01
11
11
10
10
00
10
01
10
00
00
10
10
10
10
00
00
00
00
00
00
00
11
10
11
10
00
00
11
00
11
10
00
10
00
00
11
10
00
10
00
00
10
01
11
01
01
11
10
00
00
10
00
10
10
00
01
11
01
00
11
00
11
10
00
11
00
10
01
11
10
00
00
11
00
10
10
00
10
01
10
10
10
01
00
01
11
10
00
01
01
11
10
00
00
01
11
10
11
00
11
10
10
01
00
00
10
00
00
10
11
10
11
00
11
01
11
10
10
11
01
10
10
01
01
10
00
11
10
11
10
00
01
11
10
00
11
10
10
10
10
10
00
01
01
10
01
11
01
00
10
01
11
10
01
00
10
00
00
11
00
00
10
01
00
01
11
01
11
01
00
10
01
01
00
10
10
10
01
11
01
10
11
00
10
00
00
01
10
10
01
10
00
01
00
10
11
00
00
01
10
00
10
00
11
10
00
01
01
11
10
10
00
00
10
11
00
01
10
00
10
10
00
00
00
10
00
10
00
01
11
10
01
10
00
01
10
10
10
00
00
10
10
11
01
11
00
11
10
00
10
01
01
10
00
00
10
00
00
11
00
00
10
10
10
11
01
10
00
11
11
11
10
00
00
01
11
11
11
00
00
00
10
00
01
10
00
11
11
10
11
10
11
11
01
01
11
01
00
10
10
00
00
10
10
10
01
00
00
11
01
00
01
11
10
10
00
01
10
10
01
00
10
00
10
10
10
00
00
11
11
10
10
00
10
10
00
01
10
11
00
11
10
00
01
10
11
00
10
11
10
01
00
11
11
00
00
01
00
11
01
11
10
00
10
01
00
00
10
10
01
10
10
00
00
10
00
10
01
10
00
10
00
00
10
10
11
11
11
00
10
01
00
00
01
00
11
10
00
10
00
00
10
00
10
00
00
11
10
11
00
10
10
00
00
10
10
00
00
11
01
10
11
10
00
01
11
11
10
10
01
01
10
00
00
10
01
10
11
10
00
00
01
00
10
00
01
00
00
10
10
01
10
10
00
11
10
10
00
01
00
00
11
10
10
00
00
11
00
00
00
00
10
10
10
11
00
00
10
01
00
11
10
00
00
00
00
11
11
10
00
00
10
01
01
01
11
11
00
01
10
11
01
00
11
10
10
10
00
00
00
00
10
00
01
10
10
10
00
00
10
00
00
10
00
00
11
11
01
00
11
00
11
10
00
10
11
00
01
10
10
00
01
00
11
10
01
00
10
11
10
01
00
11
11
01
11
10
01
10
10
00
01
10
10
10
01
00
10
11
00
11
10
00
00
01
01
01
10
10
10
01
00
01
10
10
00
11
01
10
01
00
11
10
01
01
10
10
01
01
11
00
01
10
00
10
10
01
00
01
00
10
10
00
01
11
10
00
11
10
01
01
00
11
00
00
00
00
11
10
01
10
11
00
10
11
00
00
10
00
10
00
00
00
01
00
11
01
10
01
10
11
00
10
10
01
10
10
00
01
10
00
11
00
01
00
11
11
10
00
01
10
00
00
10
10
10
00
10
00
01
00
00
11
11
01
10
10
01
11
00
01
10
11
00
00
10
00
00
11
10
00
10
10
00
00
10
10
10
01
11
00
11
00
00
10
10
10
10
10
00
10
11
01
01
01
01
00
10
10
00
00
10
11
01
01
00
10
10
01
01
10
00
00
10
00
11
11
10
01
00
10
01
10
10
00
01
10
00
10
01
00
00
00
10
11
01
01
11
00
10
01
01
01
01
10
11
11
11
00
01
11
11
00
10
01
00
00
00
01
00
00
11
01
10
10
10
10
11
11
10
00
11
10
00
10
01
00
10
00
10
11
10
10
11
00
10
11
01
10
10
10
01
00
00
01
00
11
01
10
11
11
00
10
11
00
01
10
10
00
00
10
00
10
10
10
00
10
01
10
00
10
00
00
01
01
10
10
00
10
00
10
00
00
10
10
11
00
00
10
10
00
00
00
10
10
01
00
01
11
00
11
01
11
00
00
11
10
00
01
10
01
10
10
10
00
00
10
01
00
01
01
01
00
00
11
00
00
10
10
11
11
01
00
10
01
11
01
11
01
00
10
10
10
10
00
01
10
10
01
10
00
00
11
01
10
00
10
10
10
00
10
10
10
01
10
01
01
00
00
10
01
00
01
01
01
10
11
01
10
10
00
10
10
00
00
00
10
10
01
00
10
11
10
00
00
10
10
01
00
01
10
01
01
10
00
01
10
11
10
01
10
00
10
11
11
00
11
10
00
00
01
00
11
10
11
00
00
00
01
10
10
00
11
00
00
10
01
10
00
10
10
00
10
01
00
10
11
11
10
00
10
11
10
01
01
01
10
11
11
00
00
11
00
00
00
11
11
00
00
00
10
10
00
00
10
10
00
01
10
10
10
10
10
01
10
10
10
00
01
00
11
01
00
00
01
10
11
00
00
00
00
00
11
10
00
00
00
10
00
00
01
01
00
11
10
10
01
10
10
10
00
00
00
00
11
01
01
10
10
10
10
11
10
10
00
10
10
10
10
00
01
11
10
11
01
00
00
10
11
01
01
10
01
00
10
00
10
10
00
00
11
01
01
01
10
10
00
10
00
00
10
10
10
00
00
10
10
10
00
10
01
11
10
01
00
00
01
10
10
01
11
10
00
11
10
01
00
10
11
00
00
10
10
00
10
00
01
00
01
10
00
10
00
10
10
00
00
00
10
10
11
10
10
00
01
10
11
11
00
10
00
10
10
01
00
10
10
00
10
00
01
00
11
10
00
00
10
10
00
11
00
00
00
11
11
10
11
00
10
00
00
01
10
11
00
10
10
00
10
11
00
10
10
01
00
10
00
00
11
00
10
00
10
00
00
11
00
10
11
10
00
01
10
00
11
01
00
10
10
10
01
10
11
00
00
11
11
11
00
01
00
00
01
10
10
00
11
00
10
01
00
00
10
11
10
01
11
10
10
10
10
00
00
11
10
00
11
10
00
00
01
00
10
11
10
01
00
01
00
10
11
11
01
00
10
11
10
00
00
00
00
00
00
10
00
01
10
00
10
01
10
00
01
10
10
00
10
01
00
11
10
11
00
11
01
00
11
10
00
00
00
10
00
00
10
01
10
10
10
10
10
00
00
10
10
01
00
00
00
00
00
11
00
01
00
10
10
11
00
00
10
00
00
01
11
00
01
00
01
00
01
00
11
11
00
11
10
10
00
01
10
00
10
01
01
00
11
11
00
10
01
11
10
10
01
00
00
00
10
10
01
10
10
01
00
10
10
00
01
10
11
11
00
11
10
01
01
00
11
01
00
00
10
10
00
10
10
10
11
00
00
10
00
00
11
11
10
10
00
10
00
11
11
01
00
10
00
10
00
00
11
10
11
11
00
01
10
01
00
01
10
10
10
00
10
11
10
01
00
10
10
11
01
00
11
10
00
10
11
10
11
00
00
01
10
11
00
10
11
00
00
10
00
00
00
00
00
10
11
00
11
00
10
10
10
00
01
00
10
01
00
11
10
10
10
10
00
10
00
01
10
00
01
11
10
01
11
11
00
00
10
00
01
10
00
00
10
00
00
10
11
01
10
00
01
10
10
01
00
11
10
01
00
11
11
00
01
00
10
10
11
00
00
10
10
00
00
00
11
00
01
10
00
00
00
11
10
11
01
11
11
10
00
00
00
10
10
00
01
00
10
00
00
10
00
10
10
10
00
00
00
10
00
10
10
00
10
01
00
00
00
11
10
11
10
00
10
00
10
10
01
00
10
10
01
10
01
11
10
10
10
10
00
01
11
10
01
10
00
10
00
00
10
11
00
00
11
00
10
10
00
01
01
10
10
10
00
11
00
10
01
00
10
10
10
00
10
11
10
00
10
01
00
01
10
10
01
00
10
11
10
00
01
00
10
00
11
01
01
10
11
10
00
10
11
00
01
00
11
10
01
00
00
10
10
01
00
01
01
10
01
10
00
11
10
11
10
00
11
00
00
00
00
11
10
00
11
01
10
11
01
01
01
01
01
00
01
11
01
11
00
01
10
10
00
00
11
10
01
00
00
11
10
10
10
00
00
01
00
01
11
01
10
10
01
10
00
00
10
11
00
01
00
10
10
01
10
01
10
00
00
10
00
10
10
00
11
00
00
10
01
00
00
00
10
00
01
11
00
00
00
11
10
10
00
10
11
00
10
10
10
01
00
00
10
00
00
00
10
11
00
10
10
00
01
00
10
00
11
11
10
01
00
11
10
11
01
10
11
10
00
00
10
00
11
01
00
00
00
11
00
10
00
00
10
10
10
10
01
00
00
00
10
10
10
01
01
10
01
10
10
00
00
01
11
11
00
01
00
11
01
00
10
10
10
00
10
10
00
11
11
00
10
00
01
10
00
00
10
10
10
10
01
10
01
00
10
10
01
11
00
01
10
10
00
00
10
00
00
11
11
11
11
00
10
00
10
10
00
10
10
00
11
10
00
01
10
10
11
00
01
01
10
01
10
00
00
10
00
10
11
00
01
11
01
00
11
10
11
10
01
10
10
00
00
01
00
00
10
00
01
11
10
00
00
01
00
10
10
11
10
01
10
01
11
10
10
10
00
00
00
10
00
00
11
00
10
10
01
00
00
00
11
10
10
10
00
01
01
10
11
10
00
10
00
11
11
11
01
11
10
00
00
00
10
10
10
11
10
11
00
11
00
10
10
11
00
10
01
01
00
10
00
01
10
01
10
10
11
00
00
11
10
10
10
10
00
00
00
00
10
00
11
10
10
01
10
10
11
10
11
10
11
10
00
10
01
00
10
00
00
10
10
11
00
00
00
11
01
10
00
00
10
11
10
11
01
01
10
00
00
10
10
00
01
10
11
11
11
10
00
00
11
00
10
01
00
11
10
01
10
01
10
00
00
10
00
00
11
00
10
00
00
00
00
11
10
11
10
00
00
00
00
10
11
10
01
11
10
00
00
00
00
10
10
00
10
11
01
10
00
00
01
00
11
11
00
11
11
00
01
11
10
01
10
10
11
11
11
00
11
10
00
01
11
01
01
00
10
11
01
01
00
10
10
10
11
01
00
10
10
00
00
11
01
01
00
00
01
00
11
10
01
00
11
10
10
00
00
10
10
10
00
00
00
10
00
10
00
00
10
10
11
00
10
00
01
00
10
10
00
10
00
00
11
01
00
10
10
01
10
10
01
01
00
01
00
01
10
11
00
11
10
00
10
10
00
01
00
11
00
10
00
00
00
01
11
11
01
10
11
00
01
10
10
01
00
10
10
00
01
11
10
01
10
10
01
10
11
00
10
10
00
11
10
10
00
01
01
10
10
00
00
10
00
10
11
00
01
00
00
11
00
10
10
00
00
00
10
00
10
10
10
01
11
00
00
00
01
00
10
00
00
10
01
11
00
10
10
00
00
00
11
10
11
10
10
11
10
00
00
00
01
10
11
10
10
10
00
10
10
10
00
10
00
10
10
10
00
01
10
00
01
00
00
10
10
01
00
00
00
11
10
10
11
00
10
01
10
10
10
00
00
00
11
11
10
11
00
10
00
00
10
00
10
10
00
10
10
00
10
10
11
11
00
00
10
11
10
10
10
00
01
11
11
10
10
01
01
01
11
00
00
01
10
10
00
10
11
10
10
10
10
00
00
11
11
00
10
11
00
10
00
00
10
01
01
11
00
10
01
00
11
11
01
00
00
00
10
00
00
10
10
00
00
10
10
10
00
11
10
01
10
10
01
11
00
11
10
00
11
01
10
10
10
10
11
01
01
00
01
01
10
10
10
00
11
11
11
10
10
11
01
10
00
00
10
00
00
01
01
11
10
00
00
11
00
10
10
01
01
10
10
11
10
00
11
01
00
10
11
10
01
10
01
00
00
01
01
00
10
10
00
01
00
00
10
10
00
01
10
10
00
00
00
10
01
01
01
11
11
11
00
10
00
11
11
00
10
01
01
01
01
10
10
01
01
10
01
01
10
10
00
00
10
10
01
10
11
11
10
01
01
10
00
11
10
11
00
00
01
11
10
11
10
10
10
00
11
01
00
10
10
11
01
11
01
00
00
00
10
10
11
00
00
11
10
00
10
10
00
11
10
10
10
10
00
11
00
00
10
00
00
01
10
11
10
11
00
11
01
01
10
10
10
10
10
10
01
00
00
11
10
11
00
01
01
11
10
01
00
10
10
11
10
01
01
10
11
01
10
11
10
01
00
10
10
01
11
10
10
01
10
10
11
01
00
11
10
10
10
00
01
11
01
00
10
00
10
01
01
10
10
00
10
01
11
11
10
00
01
11
10
10
00
00
01
00
11
00
01
10
00
10
10
10
00
10
11
10
10
10
11
10
10
10
01
00
10
10
00
10
00
10
00
10
00
01
11
10
11
01
10
10
10
00
11
01
00
11
11
00
10
10
01
00
00
10
11
00
11
00
01
01
10
10
10
00
10
11
00
00
00
10
11
11
01
01
10
01
00
00
00
00
10
01
11
11
11
01
01
00
00
10
11
00
00
11
11
00
00
10
10
11
10
00
00
00
01
10
00
10
11
11
01
10
11
10
00
10
01
00
11
10
00
01
10
00
00
10
00
10
10
00
00
11
10
10
11
11
10
00
10
10
00
10
10
10
10
01
10
01
00
01
00
10
00
10
11
10
00
01
10
01
10
01
00
00
10
01
10
11
11
00
10
10
11
10
00
10
00
00
01
01
00
11
00
10
10
10
00
10
11
01
00
00
10
00
10
00
01
11
10
01
01
11
01
10
01
10
10
01
01
11
11
11
01
00
10
00
00
10
10
01
00
01
10
00
10
11
00
10
10
00
00
10
01
10
10
00
00
00
00
01
10
11
10
11
01
00
00
00
01
10
11
00
10
00
11
10
00
01
10
10
00
00
00
01
01
11
10
00
10
00
00
10
10
00
00
10
00
11
01
10
10
01
10
11
10
11
00
00
01
11
10
00
01
00
10
00
01
11
10
00
11
01
00
11
00
10
00
10
01
00
00
10
00
00
10
10
10
00
00
11
11
11
01
00
00
11
10
00
10
00
01
10
10
10
01
10
10
00
01
00
11
11
10
11
10
00
01
11
01
10
10
10
00
00
00
11
01
00
00
11
00
00
00
00
10
10
01
00
11
00
10
01
00
10
01
10
10
00
11
10
00
00
10
00
00
00
11
11
00
01
00
00
00
10
00
11
00
00
10
10
10
01
10
00
11
00
00
00
10
10
11
01
10
10
00
10
10
10
00
00
10
10
00
10
01
00
00
10
10
01
00
01
10
01
11
11
00
11
00
11
01
11
11
01
00
00
01
11
11
01
00
00
01
00
00
00
11
10
00
10
11
10
00
01
11
00
10
00
10
00
00
00
00
10
10
10
01
00
10
01
11
10
10
11
01
01
01
00
00
01
11
11
00
01
10
10
00
10
01
01
10
10
10
10
10
01
11
00
00
10
01
00
00
01
10
10
01
00
11
00
01
11
10
00
00
00
10
00
10
01
10
10
11
10
00
00
11
10
10
00
10
01
10
00
01
11
00
10
10
01
00
10
10
11
01
11
01
01
01
11
00
00
00
11
11
00
00
10
11
10
10
10
00
00
00
01
11
10
11
10
00
01
00
01
11
00
00
01
00
10
00
00
00
00
00
10
10
00
11
10
11
00
01
10
10
10
10
01
00
11
10
10
10
11
00
00
10
11
10
11
11
10
11
11
01
11
11
00
00
10
10
01
10
10
00
10
01
10
01
10
11
10
01
00
00
00
00
00
11
11
00
00
01
11
01
00
10
10
10
00
00
11
11
11
10
00
10
01
00
00
00
10
11
11
11
10
10
11
00
01
00
11
10
00
11
10
01
10
00
00
00
10
00
10
10
01
10
10
11
10
00
11
00
00
00
00
10
11
10
00
00
10
01
10
00
11
00
00
11
10
11
00
10
00
00
11
11
01
10
01
01
10
10
10
00
11
10
00
00
00
00
10
00
00
10
10
10
11
01
01
00
00
11
00
00
01
11
10
01
01
10
01
00
10
10
10
00
10
01
00
11
10
00
11
01
00
11
11
00
01
00
01
10
01
00
11
10
00
10
10
11
01
11
11
00
10
10
00
10
11
00
00
00
11
00
01
00
11
10
11
10
10
01
00
00
00
10
10
10
01
00
00
10
10
11
10
10
00
10
00
11
10
10
11
01
00
11
10
01
10
00
00
10
10
10
11
00
01
00
11
10
01
01
00
11
11
01
11
01
10
10
11
01
00
00
10
11
01
01
10
00
00
00
10
10
00
00
00
10
10
10
10
11
00
01
01
10
01
00
01
10
01
01
10
11
00
00
10
00
00
11
00
10
10
11
10
00
00
01
10
10
00
01
00
00
00
11
00
11
10
10
00
00
00
10
00
10
11
00
11
10
10
00
00
10
11
00
00
00
00
10
00
01
10
10
00
10
00
10
10
00
11
01
01
01
00
10
01
00
01
00
10
11
01
00
11
01
00
10
10
00
10
10
01
00
10
10
01
00
10
10
10
01
10
10
00
00
10
00
10
10
10
10
00
00
00
10
00
00
11
00
10
10
10
00
10
00
10
00
00
00
11
11
00
01
10
11
11
00
10
11
01
01
10
00
00
00
00
01
10
10
10
01
10
00
00
01
10
01
10
10
11
10
00
00
11
00
01
11
11
00
00
00
00
01
10
01
10
11
10
01
00
11
11
00
10
11
01
01
11
10
01
00
11
10
10
00
11
01
01
00
11
11
00
00
11
00
01
01
10
10
10
01
10
10
00
00
10
00
10
11
00
00
11
10
01
00
00
10
10
00
01
10
10
01
10
00
00
00
00
00
10
00
10
10
00
11
01
01
10
01
10
00
00
10
00
00
00
00
00
00
10
10
01
10
10
01
10
01
10
01
01
11
10
10
10
00
11
01
11
11
00
00
10
10
11
00
01
11
10
11
00
10
01
00
10
00
10
00
01
10
10
01
10
10
00
10
00
10
10
01
11
10
10
10
10
11
00
01
10
10
11
11
01
00
10
00
00
11
00
01
11
11
00
00
10
10
10
00
11
00
00
10
10
10
10
00
01
00
10
00
01
10
00
11
00
00
11
00
01
00
00
11
00
00
11
10
00
00
10
10
10
11
00
01
10
00
10
00
00
00
00
10
00
10
01
01
00
10
10
00
00
00
10
00
10
00
01
10
01
10
00
10
11
11
00
00
00
11
11
11
11
10
01
10
10
10
10
00
01
00
00
00
01
10
00
00
10
00
01
00
11
10
00
01
00
00
10
10
01
01
10
01
00
11
10
11
00
10
10
00
10
10
00
00
00
10
00
10
10
10
01
00
00
00
10
01
11
10
11
00
01
11
00
10
00
11
11
01
10
00
11
11
01
01
01
00
10
10
10
00
00
11
10
10
00
11
00
00
11
11
10
11
11
00
11
10
10
00
01
10
10
00
00
00
10
01
00
10
10
11
00
01
00
00
10
10
10
10
01
00
10
10
00
00
01
11
10
00
01
10
00
01
01
01
01
01
00
10
11
10
01
00
11
10
10
01
01
00
01
10
10
10
10
01
11
10
01
01
10
11
00
00
11
10
01
11
01
01
10
01
00
10
00
11
11
11
10
01
10
11
00
01
10
01
00
10
10
10
10
00
00
10
01
10
10
00
00
11
10
10
00
00
01
11
10
10
10
00
00
00
01
00
11
10
10
01
01
10
11
10
00
10
01
01
00
00
00
01
01
00
00
11
10
01
10
10
00
00
00
10
10
00
00
00
01
10
10
10
10
00
10
11
01
10
01
11
11
00
11
00
11
11
00
01
10
11
01
10
10
01
01
10
11
10
01
10
10
00
00
01
10
00
00
11
11
00
11
10
11
10
00
00
01
01
01
11
11
01
00
11
01
00
10
10
11
10
00
01
00
10
11
00
00
00
11
10
00
01
00
00
01
10
10
01
01
10
11
10
11
01
11
10
01
00
00
00
00
00
10
10
10
11
11
10
01
01
01
00
00
10
01
10
10
00
00
10
00
10
11
10
10
10
00
10
10
10
00
11
00
10
00
10
00
10
11
00
10
00
10
10
10
10
00
00
00
10
10
10
10
01
00
10
11
10
10
01
01
00
10
10
01
01
11
10
10
10
11
10
01
10
01
00
01
00
11
10
00
11
11
01
01
10
10
00
00
10
01
00
10
01
00
10
10
00
10
11
10
01
01
10
01
11
00
10
10
00
11
10
01
01
00
00
10
00
10
00
10
11
00
00
11
10
00
10
10
00
01
00
01
00
00
10
10
01
00
10
01
00
11
10
10
00
10
00
11
11
01
11
00
01
10
00
00
01
11
10
10
00
00
11
11
11
10
11
10
10
10
00
01
10
10
00
10
10
00
00
10
01
11
00
00
10
11
00
11
11
10
10
00
10
00
10
10
00
00
10
11
10
10
10
00
10
01
00
11
01
10
01
01
00
00
11
10
10
11
00
01
11
11
10
01
10
10
01
10
01
00
10
00
10
01
10
11
01
00
00
10
00
01
00
11
00
01
10
00
00
10
10
00
01
10
11
00
01
11
10
00
00
00
11
11
00
01
10
00
10
10
10
11
01
00
01
00
10
01
10
10
00
00
01
10
10
00
10
10
11
00
11
10
00
10
10
11
10
10
00
00
11
10
01
01
00
01
10
10
00
00
10
10
01
00
10
01
00
00
10
10
01
10
01
10
00
10
01
00
01
10
11
01
00
00
10
11
01
10
10
00
01
01
01
11
00
01
10
00
01
01
01
10
00
10
10
00
11
01
11
10
10
00
11
10
11
00
00
11
00
01
11
10
00
00
00
11
00
00
11
00
11
00
01
10
10
10
00
10
10
01
01
00
10
10
10
11
01
10
01
00
01
11
00
10
10
00
00
11
10
00
00
10
00
00
10
11
11
10
00
10
10
10
10
01
00
00
10
01
00
00
00
00
00
10
11
00
10
10
10
11
01
10
00
10
10
00
10
10
10
01
11
10
01
00
10
00
00
10
10
00
00
10
10
00
11
00
00
01
01
00
00
00
11
10
00
00
00
01
01
11
00
01
11
11
00
11
00
00
00
10
11
10
10
00
10
10
00
00
11
00
00
11
01
01
10
00
00
10
10
00
10
00
00
10
10
00
11
10
11
11
10
11
00
00
11
01
01
10
11
00
01
00
01
00
11
10
00
01
10
01
00
01
10
01
01
10
00
10
00
10
11
00
10
00
01
11
00
10
10
00
10
00
00
10
11
00
00
10
10
01
00
00
11
00
01
10
00
00
01
11
10
10
01
11
00
11
11
11
00
01
00
00
11
01
10
00
01
10
10
01
01
11
00
10
10
11
10
00
00
10
10
01
01
00
10
00
11
11
00
11
00
11
10
00
10
00
00
10
11
11
00
00
00
00
11
10
10
00
00
10
11
00
01
01
10
01
00
11
11
11
01
10
10
00
11
11
11
11
00
00
00
00
00
00
10
10
00
01
00
10
00
00
10
11
10
10
00
11
00
01
10
10
00
11
10
00
01
00
10
11
10
10
11
00
10
00
00
00
01
10
11
10
11
10
01
00
00
10
10
11
00
01
01
10
10
11
00
11
01
00
10
00
10
01
01
10
10
10
10
11
10
00
11
01
00
10
00
00
00
01
10
10
01
01
00
00
01
10
01
00
01
00
01
00
10
11
01
10
11
10
00
01
10
11
00
00
11
10
00
11
10
01
10
11
01
10
10
10
10
00
10
10
11
00
10
00
01
00
00
00
00
00
11
00
10
00
01
10
00
01
00
00
10
10
00
00
10
10
10
10
01
10
10
11
01
11
10
00
11
10
11
00
01
10
10
00
10
01
10
01
00
11
10
10
10
01
10
11
10
00
10
00
01
10
10
10
10
10
01
11
01
00
10
10
10
11
00
00
11
10
00
00
10
00
00
10
10
10
00
00
00
10
01
10
01
00
00
10
00
10
10
01
01
00
10
00
11
11
10
00
10
11
01
01
00
01
11
00
10
10
00
10
01
01
11
10
00
11
11
10
00
11
11
01
01
10
10
11
00
00
10
10
00
00
11
10
00
00
00
01
10
00
01
11
10
01
00
11
10
01
01
10
00
00
11
01
10
10
11
00
01
01
00
10
01
10
10
00
00
10
11
11
00
00
00
01
00
10
11
01
00
00
10
10
10
10
01
01
01
10
00
10
10
10
00
00
11
10
00
10
11
01
10
10
10
11
10
01
00
10
00
00
00
00
10
00
01
11
10
01
11
00
11
01
00
10
00
10
10
01
00
10
11
10
10
00
10
10
10
10
00
00
10
10
00
10
11
00
10
10
11
10
00
00
01
00
10
00
01
10
10
00
00
10
10
01
01
01
11
10
10
00
11
00
01
10
10
00
00
10
10
10
10
00
11
11
10
01
01
00
10
01
01
11
10
11
00
00
01
11
10
01
10
11
11
10
00
11
10
01
00
10
00
11
10
10
01
01
00
00
00
00
00
00
01
10
00
00
00
10
00
11
10
11
10
00
10
00
00
11
01
00
11
11
11
00
11
10
00
00
10
10
00
00
10
10
10
11
00
00
10
00
10
00
00
00
00
10
00
11
11
01
00
00
01
00
10
01
11
10
10
00
01
10
10
10
10
11
10
10
00
11
01
00
11
10
01
10
01
00
10
00
10
11
00
10
10
10
00
00
01
01
11
01
00
10
10
11
00
11
10
10
10
00
10
00
10
11
01
10
11
10
10
10
11
00
00
00
11
10
00
01
01
10
11
01
10
01
00
00
00
10
11
10
01
00
01
10
00
10
10
10
10
00
00
00
10
00
00
01
10
00
11
01
01
00
00
10
10
00
10
00
00
00
10
01
00
00
01
01
10
10
00
10
01
00
00
00
00
00
11
01
11
11
11
00
00
10
10
00
00
11
10
11
10
00
11
00
01
10
10
00
01
01
10
10
01
10
00
01
10
00
10
10
10
11
01
01
00
11
10
00
00
01
10
10
00
10
00
00
00
10
10
00
00
00
00
01
10
00
10
10
10
00
10
11
00
11
00
10
00
01
00
00
11
00
11
00
01
11
10
00
00
00
10
01
00
01
11
00
10
10
10
00
00
10
01
10
11
10
10
11
10
10
11
10
01
10
11
01
10
00
10
10
00
10
10
10
11
10
11
10
10
00
00
10
00
00
11
00
00
00
10
10
00
10
01
00
10
00
10
00
10
10
11
00
01
01
10
10
00
10
10
10
00
01
10
10
10
10
11
00
01
10
00
01
10
00
11
11
00
10
01
10
11
01
00
11
10
00
00
10
00
00
00
10
10
10
01
10
11
00
11
10
10
10
00
11
10
10
00
00
10
00
00
10
10
00
01
00
01
01
11
11
01
11
11
11
00
10
10
00
00
11
10
01
00
10
01
11
01
00
11
10
11
00
01
01
10
00
10
00
10
10
01
00
11
00
00
10
00
00
10
00
00
11
01
01
10
01
00
00
01
10
01
10
10
00
10
11
01
01
10
11
00
00
00
00
10
10
10
10
00
10
00
11
11
01
11
00
11
11
00
00
10
11
00
01
11
10
01
00
01
10
00
01
10
00
00
10
10
11
00
01
11
00
01
10
10
10
01
01
01
11
10
11
10
01
01
11
10
10
10
10
10
00
00
10
00
11
10
01
00
10
01
01
11
01
11
11
10
00
00
10
00
11
10
00
00
10
00
01
11
00
11
10
01
10
00
11
00
01
00
10
11
11
10
00
00
10
00
00
11
10
00
11
00
11
01
10
01
00
10
01
10
00
10
01
10
10
10
00
10
11
00
11
10
01
01
10
01
00
10
00
10
11
00
10
10
11
11
00
00
10
00
00
01
01
11
10
11
01
01
10
10
00
01
00
11
10
01
10
10
00
01
10
10
00
00
10
10
00
01
11
10
01
01
10
11
10
01
10
10
01
00
00
10
10
10
00
00
00
00
10
11
00
00
10
10
10
01
11
11
01
00
11
00
11
11
01
11
10
10
10
10
00
10
00
10
00
11
00
11
11
00
00
10
10
11
00
11
11
00
00
01
11
00
00
10
01
01
11
10
01
10
11
00
10
10
01
00
11
10
01
10
10
00
00
01
00
11
11
01
10
11
00
10
01
01
10
10
00
00
01
00
00
10
01
00
10
10
10
11
00
10
00
00
00
00
00
00
01
10
00
00
11
00
00
11
10
10
00
10
10
00
10
00
10
10
00
00
01
00
10
11
10
01
00
00
11
00
10
11
00
00
11
10
11
10
00
10
10
01
01
11
10
11
01
01
11
10
11
01
01
10
10
01
00
10
10
00
00
00
11
10
01
00
01
01
10
10
10
10
01
10
01
01
11
10
11
11
11
01
10
11
00
00
11
00
01
11
00
10
10
00
00
01
11
10
00
10
10
11
10
00
00
11
11
10
00
00
10
11
10
00
00
01
01
01
00
10
11
01
00
00
10
00
01
01
10
11
00
00
00
10
11
10
10
00
10
11
10
00
10
00
01
10
10
00
10
10
10
00
10
00
00
01
01
11
11
10
00
10
00
10
10
00
00
10
10
10
00
00
00
11
10
00
00
10
10
01
11
01
01
11
10
10
11
00
00
10
01
11
01
00
10
01
10
10
10
11
00
11
11
01
00
00
11
01
00
10
11
00
00
10
10
10
00
01
01
00
11
00
10
11
10
10
10
00
00
01
10
00
00
10
01
01
00
10
10
10
11
10
01
00
10
01
00
11
00
10
00
01
10
00
10
11
10
10
11
00
10
11
00
11
00
01
00
10
10
00
10
10
10
11
10
01
01
10
11
00
00
00
01
10
10
10
10
00
00
10
11
10
10
10
00
10
01
00
10
10
01
00
00
00
10
10
10
10
01
10
00
00
00
10
10
10
00
10
10
11
10
00
10
10
00
01
10
10
00
00
00
11
11
10
00
10
11
10
10
00
11
10
10
10
00
01
01
01
10
10
00
10
10
10
00
00
10
10
10
00
10
10
10
10
11
10
00
01
00
10
11
00
10
00
01
00
00
10
10
01
01
10
10
00
11
10
00
00
01
11
00
10
11
00
10
10
01
10
11
00
01
10
10
01
00
01
11
10
00
10
01
00
11
10
10
01
00
10
00
01
10
01
10
10
11
10
10
11
10
00
00
10
10
00
10
11
00
00
00
10
11
00
00
00
10
00
00
11
10
10
10
00
10
01
00
10
00
01
10
01
00
11
00
01
10
00
01
10
00
00
00
10
10
00
10
00
01
11
00
00
00
10
11
10
01
00
11
01
10
00
00
01
10
10
01
10
11
10
00
00
01
01
10
11
11
11
11
10
11
01
11
10
10
00
01
00
10
10
00
10
11
00
10
01
01
10
00
10
00
11
00
10
10
11
11
00
10
10
11
00
10
00
00
10
00
10
00
01
11
11
11
00
10
01
00
10
10
01
00
10
00
10
10
01
10
01
00
01
01
00
00
11
10
00
10
10
10
11
00
00
01
00
11
01
01
10
00
10
11
00
01
00
11
11
11
10
00
10
10
01
11
11
11
01
10
00
10
10
01
01
00
10
10
00
10
01
00
11
00
00
00
11
10
01
10
11
10
11
00
00
00
00
00
11
10
00
00
01
00
10
10
10
10
10
00
00
00
10
10
00
11
11
11
01
01
10
11
00
01
01
10
11
10
00
01
00
11
10
01
00
01
10
11
10
00
10
11
01
01
00
10
10
00
01
10
00
10
11
10
10
10
00
10
10
11
10
10
01
00
11
10
11
00
01
10
10
00
00
00
10
01
00
01
11
01
00
10
01
00
10
10
01
10
00
11
00
01
10
01
00
11
10
00
00
10
00
01
11
00
11
00
00
11
01
10
00
11
10
10
00
11
01
00
10
00
00
10
10
00
00
11
00
01
10
01
11
00
10
00
10
11
01
00
11
00
01
10
00
01
01
10
11
00
01
00
11
11
00
01
11
11
00
11
10
00
01
10
10
10
10
00
10
10
00
10
01
01
10
10
00
10
10
00
01
10
11
00
01
11
01
10
00
01
00
11
10
11
00
11
10
10
00
00
10
00
01
00
10
11
11
10
10
11
11
10
10
00
11
00
00
00
10
10
00
10
10
11
10
10
10
10
00
10
00
00
01
00
10
10
00
00
10
10
11
00
00
00
00
00
01
10
00
10
10
00
00
00
00
10
00
00
11
11
10
01
10
11
00
00
00
01
10
10
10
01
10
11
01
10
00
00
00
10
10
01
00
10
10
01
01
00
01
10
00
00
11
00
11
11
10
00
00
10
00
00
10
10
01
10
01
10
11
11
01
11
10
11
00
11
00
10
11
00
10
01
01
11
00
00
11
01
00
00
11
10
10
01
00
10
01
10
00
10
10
11
11
01
00
00
10
10
00
00
00
10
10
10
00
01
11
11
00
00
00
10
10
00
10
11
00
11
01
00
11
00
11
01
01
10
11
10
01
10
10
10
00
01
10
01
00
11
10
00
00
00
00
11
00
00
10
00
10
00
10
11
01
01
01
00
10
00
10
00
01
10
11
11
00
11
11
00
10
00
01
01
10
11
11
01
10
10
00
10
00
00
11
10
01
10
10
10
10
01
10
00
01
00
11
11
00
10
01
00
10
00
00
01
01
01
11
01
00
11
10
11
01
10
10
00
00
00
00
10
10
00
00
11
10
10
00
10
10
11
01
11
10
11
00
10
10
00
11
10
01
01
00
00
01
00
11
11
00
10
00
01
10
01
10
10
10
00
11
01
01
11
00
10
00
10
01
01
11
11
00
11
11
00
00
10
11
00
10
11
10
00
10
10
00
00
11
00
10
00
00
00
10
00
11
10
11
00
00
10
00
11
00
01
10
10
11
10
11
00
00
11
00
10
10
10
01
00
10
00
10
10
00
10
01
10
10
01
10
10
10
01
00
10
10
10
00
00
10
10
11
00
11
11
11
00
10
10
00
00
11
10
10
10
00
10
01
01
10
10
10
10
11
10
00
00
10
00
00
10
10
10
00
01
10
10
00
10
10
01
10
10
00
01
01
11
10
10
00
10
10
10
10
00
00
10
00
00
00
11
10
10
11
00
11
11
00
10
11
01
10
10
01
00
10
10
10
10
00
10
10
10
10
00
11
00
00
01
10
10
00
11
00
00
00
00
00
00
10
10
00
00
10
00
00
00
11
10
01
10
00
11
00
01
11
01
00
11
10
10
00
00
11
10
00
01
11
11
10
10
01
00
01
01
01
01
10
10
00
00
11
10
01
11
10
10
10
00
00
00
10
00
00
01
01
00
00
00
11
10
11
00
00
01
10
10
00
00
10
00
11
10
00
00
01
00
11
01
10
10
00
11
10
01
00
00
10
01
11
01
00
11
10
00
00
10
01
01
00
10
01
00
11
00
00
00
10
11
10
00
00
00
00
11
10
10
10
10
00
00
00
11
10
11
01
00
10
00
01
10
10
10
00
00
01
00
10
00
01
10
00
10
00
10
10
00
10
10
01
10
00
11
00
01
00
00
00
11
00
00
00
11
10
10
11
01
10
00
00
11
10
11
11
01
11
10
01
00
10
10
00
00
10
00
11
10
11
10
00
10
00
11
10
00
00
00
10
00
10
01
01
00
00
11
10
10
00
11
10
00
00
01
11
00
01
11
01
00
01
10
11
01
10
01
00
10
00
11
10
10
10
01
11
00
01
10
00
01
01
10
10
11
11
10
01
01
00
01
01
00
01
00
10
00
10
10
10
10
01
01
00
00
00
00
00
01
10
10
01
10
10
00
10
10
10
00
01
10
00
00
01
11
10
10
01
00
01
10
11
01
10
00
01
01
10
10
01
01
00
00
10
00
00
10
11
11
00
00
00
01
10
10
00
11
11
11
00
10
10
10
00
00
00
10
01
01
10
00
00
10
10
10
01
00
00
00
00
10
11
10
10
10
00
01
00
10
10
00
10
10
01
11
10
00
00
10
00
00
00
10
10
00
10
10
10
01
11
00
00
10
01
00
00
00
10
00
11
10
00
10
10
00
11
11
01
10
11
10
10
10
01
01
11
11
00
00
11
10
10
11
00
00
10
00
01
00
10
10
10
10
10
00
10
10
00
00
10
10
00
10
11
10
10
00
10
11
10
11
00
00
10
00
11
01
10
11
11
10
00
10
10
01
10
11
10
10
10
00
00
10
01
01
10
11
00
10
10
11
00
10
00
00
00
10
11
00
01
01
10
11
00
01
00
00
01
10
10
01
10
10
11
10
00
11
00
00
11
00
00
10
10
01
11
01
00
10
10
10
00
00
11
10
00
00
10
01
00
10
00
00
10
11
00
00
10
10
11
00
01
10
10
10
00
01
10
10
00
00
11
10
11
00
00
00
11
10
10
11
00
01
10
10
00
11
10
00
10
11
01
10
00
11
01
10
00
01
10
10
00
00
01
10
10
11
01
11
00
11
11
10
10
00
00
10
10
00
10
11
00
00
00
10
00
00
11
01
01
10
00
00
10
10
10
10
00
01
10
10
00
00
01
10
11
00
00
00
00
00
01
00
10
10
01
00
01
00
10
11
00
10
00
01
01
00
10
10
00
00
10
00
01
10
11
11
00
10
00
01
00
10
10
11
01
01
00
10
10
00
00
00
00
11
10
00
10
00
00
01
10
10
01
01
10
00
01
00
01
10
10
00
10
00
01
10
00
01
11
11
00
01
01
10
00
11
11
00
00
01
01
11
00
11
00
01
11
11
10
01
00
00
00
00
10
00
10
10
10
00
00
11
11
11
01
00
00
11
10
10
10
00
00
10
10
11
00
00
01
10
00
10
11
11
00
11
10
01
00
11
10
10
11
01
10
10
10
10
01
10
00
01
00
00
10
10
11
10
01
10
00
00
10
11
00
00
11
10
10
11
11
01
10
00
00
10
10
00
00
11
00
00
10
11
00
10
10
10
10
01
01
10
11
01
11
10
11
00
00
10
10
01
00
00
10
10
01
00
00
01
00
11
00
10
00
01
01
10
01
11
10
11
10
00
10
10
00
00
11
00
11
10
10
10
11
10
01
11
01
00
11
01
01
10
11
00
00
10
11
11
00
10
11
00
00
10
00
00
00
01
10
00
00
00
01
11
00
11
11
10
00
01
11
11
00
00
01
00
10
11
01
00
00
01
10
01
10
10
00
11
01
00
01
10
10
00
10
10
01
10
01
11
01
00
10
10
10
11
00
00
11
10
00
10
11
01
00
11
11
11
11
10
01
11
10
10
00
00
11
10
00
00
00
10
00
00
10
10
10
00
11
11
10
11
01
01
10
11
00
11
01
00
10
10
01
00
11
10
00
10
10
00
00
11
10
10
00
00
00
01
10
10
00
01
00
10
00
00
00
10
01
10
10
10
10
11
01
11
10
01
00
10
00
11
01
00
00
10
11
00
00
01
10
10
01
00
00
00
10
10
10
10
10
01
00
01
00
00
00
00
10
10
10
00
00
00
00
10
10
11
10
10
10
00
10
00
11
10
00
10
00
01
11
01
00
00
10
10
10
10
00
01
10
11
10
00
10
11
10
01
10
10
10
10
10
00
00
10
11
00
10
10
00
10
10
11
10
10
00
11
00
00
10
00
11
11
01
11
00
00
00
10
10
00
00
00
10
10
00
00
10
10
10
10
00
01
10
00
00
10
00
01
01
10
11
00
10
01
00
00
00
11
00
10
10
11
10
00
11
10
01
00
11
01
11
01
01
00
10
00
00
10
01
11
10
01
00
10
00
10
11
10
10
01
11
10
01
01
00
00
00
00
10
11
10
00
00
00
10
11
10
00
10
10
10
10
10
01
00
10
01
11
11
00
11
10
10
11
11
11
00
00
10
01
10
00
01
11
10
01
01
00
11
11
00
00
10
11
00
00
01
11
10
01
01
10
00
00
11
11
10
01
10
10
00
00
00
00
10
10
11
01
01
00
00
00
00
11
00
11
11
00
11
10
10
00
00
00
00
10
00
00
00
10
01
00
10
11
10
00
10
10
11
11
10
00
00
00
10
00
00
01
10
01
11
00
10
10
11
11
11
00
00
00
11
01
00
00
10
10
00
10
01
00
11
00
01
10
10
00
11
10
00
10
10
10
00
00
10
00
11
00
10
00
10
10
00
10
00
10
01
11
11
10
00
10
10
10
01
01
11
00
01
10
00
01
00
00
10
01
01
10
01
10
10
01
00
01
11
10
00
11
11
01
00
10
11
10
00
10
01
00
00
10
01
01
10
10
10
00
10
10
00
00
00
10
10
11
01
10
00
00
11
10
01
00
10
01
00
01
10
00
00
10
11
00
00
11
11
01
00
11
00
01
10
00
00
10
10
00
00
10
11
10
00
10
00
01
11
10
00
00
10
11
10
01
00
00
10
00
00
10
10
10
00
00
00
11
10
11
10
10
01
00
10
10
11
01
10
10
01
01
10
10
10
00
10
10
00
01
10
00
00
01
00
11
00
11
00
01
00
10
11
01
00
11
11
00
10
11
01
11
11
00
00
10
10
11
10
01
00
00
10
11
00
10
11
00
01
10
11
01
00
11
11
10
11
00
00
11
00
00
00
10
10
00
11
10
11
00
01
11
01
01
10
10
00
00
11
10
11
00
11
10
00
10
11
00
00
00
00
01
10
10
00
00
10
01
10
10
00
10
10
01
10
01
10
10
01
00
11
10
10
00
11
11
00
10
01
00
10
00
01
00
00
10
10
00
10
00
00
11
10
10
10
11
11
00
10
00
00
10
00
00
11
10
10
10
10
00
01
10
00
11
00
00
00
01
10
11
11
11
10
01
00
11
00
00
11
10
10
11
01
00
10
10
00
10
11
00
11
10
00
10
00
01
10
00
00
01
10
10
00
10
01
10
11
10
11
00
10
00
01
10
10
10
00
10
00
00
00
00
00
01
10
01
11
11
10
10
01
01
00
01
10
11
00
00
10
10
00
00
01
10
00
00
00
00
00
10
11
00
10
01
00
10
00
00
11
00
00
11
11
11
00
11
10
11
10
00
00
10
11
10
00
10
11
10
00
11
10
11
10
01
00
10
00
00
10
10
00
10
01
11
11
10
10
10
10
01
11
00
00
10
10
00
00
00
10
10
01
10
00
00
10
10
11
00
01
10
00
00
10
00
11
10
00
00
11
00
10
00
01
11
01
00
10
11
10
10
00
00
10
00
11
01
00
01
10
11
01
01
00
10
01
00
10
11
00
00
10
10
10
10
10
10
10
01
00
10
00
10
10
00
11
00
11
00
11
10
10
10
11
00
00
10
10
10
10
00
00
01
10
11
01
00
10
11
00
10
00
00
00
10
10
10
00
00
10
01
00
01
10
11
01
11
10
00
01
10
01
10
01
10
01
01
10
01
01
10
11
00
00
10
10
11
00
00
11
10
01
10
01
00
10
01
01
00
10
01
01
10
00
10
10
10
00
10
10
10
00
10
10
00
00
10
11
10
10
00
10
10
00
10
01
10
10
01
00
01
11
00
01
01
00
10
00
00
00
00
11
00
00
10
10
00
01
10
00
10
00
11
00
00
10
10
10
10
10
00
10
11
00
00
00
11
10
11
11
00
01
10
00
10
00
00
11
11
01
11
11
10
01
00
00
10
10
00
00
10
00
10
10
00
00
00
01
10
10
10
00
00
10
00
10
11
00
11
00
10
00
11
01
10
00
01
10
00
00
10
00
01
11
00
10
00
00
10
10
10
11
10
10
01
01
00
11
11
10
00
10
01
01
10
10
10
00
10
10
10
00
00
10
00
10
00
10
00
01
10
00
10
10
10
10
00
10
00
11
11
00
00
00
11
11
00
11
01
10
10
10
11
10
11
00
01
11
10
11
00
00
10
10
00
01
10
01
11
00
11
01
11
10
00
10
10
01
10
01
10
10
11
10
00
10
00
01
10
10
00
01
00
10
10
00
00
10
11
11
00
10
01
10
01
10
00
11
11
01
00
10
11
11
10
00
00
10
00
10
00
10
10
00
01
01
10
00
11
10
11
00
10
01
10
11
00
00
10
10
10
00
11
10
01
01
10
11
01
00
11
10
10
10
10
00
10
10
01
01
10
10
00
10
10
11
00
10
10
00
00
00
10
00
00
00
10
10
10
11
10
01
10
00
10
10
10
01
00
11
01
10
01
00
00
10
10
10
00
10
10
11
00
00
00
00
11
01
01
10
10
01
01
10
00
10
10
00
11
01
00
10
10
01
01
00
01
00
01
01
10
10
00
00
11
10
10
00
00
10
00
10
10
00
00
00
00
01
01
10
10
01
10
00
00
10
11
00
00
00
00
00
10
10
10
00
11
10
00
01
00
11
00
00
00
11
10
01
00
10
10
00
01
00
11
10
10
00
01
11
11
00
01
01
10
11
01
10
00
11
10
00
01
10
00
01
10
10
00
10
10
11
01
01
00
11
10
00
00
10
10
00
00
11
00
10
00
10
10
11
10
01
11
10
00
10
10
10
11
01
00
10
01
10
10
10
01
01
01
11
11
00
00
01
11
11
01
00
00
00
00
10
11
00
11
00
11
10
10
00
00
11
10
10
01
10
11
10
10
10
11
00
11
10
00
01
00
00
11
01
11
10
10
00
00
10
00
10
00
10
10
01
10
00
00
10
11
10
01
00
10
11
10
11
10
01
01
10
11
00
00
01
00
11
01
00
10
01
11
10
10
10
00
01
01
10
10
00
10
11
00
11
10
10
00
00
01
00
10
11
01
01
10
00
01
10
11
01
10
10
00
10
10
00
00
00
10
10
00
00
10
01
10
00
00
10
10
00
11
10
11
10
10
10
00
00
10
00
00
00
11
00
11
01
00
10
00
11
10
10
10
10
00
10
00
00
11
10
11
00
10
10
00
01
10
11
00
11
10
11
00
10
10
00
01
10
10
11
01
01
01
01
01
01
10
11
11
00
00
11
01
00
01
00
10
00
00
10
11
11
00
00
00
10
11
00
00
10
10
01
01
00
01
00
11
00
10
10
10
01
00
11
00
10
10
00
01
01
10
10
10
00
11
10
00
01
10
11
01
10
10
10
00
00
00
10
11
11
11
00
00
00
00
01
01
00
01
10
11
00
10
11
01
10
10
11
10
11
10
00
00
11
11
10
01
00
10
00
00
11
00
01
10
00
10
10
11
00
01
10
01
00
10
10
00
11
11
10
00
00
10
10
00
10
10
01
10
00
11
10
11
01
00
10
00
10
11
00
00
10
10
11
01
10
10
01
00
10
10
00
00
10
00
11
10
01
00
00
10
00
10
11
10
11
01
01
10
01
00
10
00
11
10
11
00
00
00
00
10
11
00
00
00
01
00
00
00
10
11
00
10
11
10
01
01
00
10
10
00
10
10
00
11
00
00
00
10
10
01
11
00
01
11
01
00
00
10
11
10
00
10
00
01
11
01
10
00
10
00
10
11
00
10
11
10
01
00
00
10
01
01
10
00
01
00
11
11
00
01
00
11
01
00
11
10
10
00
01
11
00
00
10
10
11
00
00
01
10
11
00
11
00
00
10
00
01
10
10
10
00
10
00
11
10
10
00
01
01
10
00
00
00
11
01
00
00
00
00
00
11
01
10
11
11
10
00
10
00
11
00
01
10
11
00
00
00
10
11
00
01
11
11
10
00
01
01
10
11
11
00
10
00
00
00
00
10
10
00
00
10
10
01
11
10
10
10
10
10
00
00
00
01
10
11
10
10
01
00
11
11
10
10
10
10
00
11
11
00
00
01
10
00
00
00
10
10
10
10
11
00
10
10
10
01
10
10
00
11
01
00
11
10
01
01
01
10
00
10
00
10
11
00
01
00
10
11
11
10
11
10
01
00
10
00
10
10
00
00
10
10
10
10
00
11
10
10
10
00
10
11
11
00
10
10
10
00
10
00
00
11
01
00
00
01
01
10
00
10
11
00
11
10
00
01
00
11
10
10
01
10
10
00
10
10
10
00
00
11
10
11
10
01
00
10
00
00
11
10
01
00
11
11
11
10
10
00
01
10
00
11
11
00
10
11
00
01
10
10
01
00
10
01
10
01
01
01
10
01
00
01
01
11
10
01
00
11
00
01
10
10
10
10
10
01
10
10
01
00
00
10
01
00
11
10
00
11
10
00
00
11
10
01
10
10
10
00
10
01
00
10
10
10
00
00
11
01
00
11
10
10
10
01
01
01
00
10
10
00
00
00
11
10
01
00
10
11
00
01
00
00
11
10
10
00
01
11
01
11
10
11
00
11
01
11
10
00
10
10
10
00
00
10
00
10
10
00
01
11
10
01
10
00
10
00
11
10
11
00
10
10
00
01
11
10
10
01
10
10
10
00
00
00
10
01
00
11
10
10
11
11
11
00
10
11
00
00
11
11
01
11
00
01
10
10
00
10
10
10
11
01
01
00
10
01
00
00
00
00
11
10
11
00
00
10
00
10
11
10
00
10
10
00
00
00
10
10
00
00
10
10
11
10
11
10
00
00
10
00
00
00
11
01
11
10
10
10
01
10
10
00
00
01
00
10
11
10
10
11
10
10
00
01
11
10
00
00
00
00
00
10
11
01
00
10
10
10
10
10
00
11
00
00
00
11
10
10
00
11
00
00
10
01
00
00
00
11
00
10
01
00
10
11
01
10
10
11
00
10
11
01
01
00
10
10
10
10
00
00
11
11
00
01
11
01
00
11
10
01
11
10
01
01
01
10
01
11
10
01
01
00
00
10
10
01
10
10
11
00
00
10
10
01
10
11
10
00
01
10
00
10
10
00
01
10
11
00
00
10
11
10
00
10
10
10
10
01
10
10
10
01
00
10
00
00
00
10
10
00
11
11
00
11
00
00
00
10
00
11
00
00
00
10
10
10
11
11
00
10
00
00
00
00
00
00
01
10
01
11
11
10
00
11
10
00
01
01
10
10
10
01
00
10
11
00
01
10
00
10
11
10
10
10
10
11
10
01
01
00
00
10
10
11
00
00
11
10
11
00
00
11
10
11
01
00
00
10
10
10
00
10
10
10
00
00
01
01
11
00
00
10
10
10
10
00
00
10
10
00
00
10
10
00
10
01
01
11
11
00
11
10
00
00
00
10
10
01
01
11
01
10
10
11
10
11
01
01
11
11
00
10
01
00
10
10
00
00
10
00
11
00
01
01
00
11
10
01
00
10
10
11
01
10
10
00
10
01
10
10
10
11
00
01
10
00
01
00
10
10
00
00
00
00
11
01
10
01
10
00
10
00
11
00
11
11
10
00
01
11
11
11
10
00
00
00
10
00
00
10
10
00
01
01
10
11
10
10
01
00
01
00
11
01
00
00
00
00
10
00
00
00
10
11
10
11
10
11
10
10
11
01
00
01
10
00
00
11
10
11
10
01
10
01
10
10
00
00
11
01
10
10
11
01
00
00
00
11
10
01
10
00
00
00
10
11
00
11
00
01
10
10
10
01
01
11
11
10
10
11
10
11
10
00
10
11
01
11
01
00
10
01
00
00
10
11
00
11
00
00
10
00
10
01
10
10
00
00
11
00
00
10
00
01
10
00
10
10
00
10
10
00
01
10
10
01
00
11
10
00
11
11
11
01
01
10
01
00
01
10
11
10
00
10
10
00
10
00
10
01
00
00
10
00
00
11
00
10
10
00
11
00
10
10
01
10
00
01
10
10
10
01
01
00
11
00
10
10
00
00
11
00
00
00
00
11
00
01
10
01
11
00
11
10
01
00
10
10
01
00
00
10
10
10
00
00
00
10
10
01
10
10
10
00
00
10
00
11
00
00
10
10
10
00
10
01
10
01
00
10
11
10
00
01
10
00
00
00
10
11
10
00
11
10
00
00
11
10
01
01
00
10
01
00
10
10
00
11
10
00
00
11
01
10
11
01
11
11
11
10
11
00
11
01
00
00
00
01
10
10
01
00
00
00
10
10
01
01
11
11
00
00
01
00
10
11
00
00
01
11
10
11
00
11
10
11
11
00
10
00
01
10
00
00
11
01
11
11
00
01
10
00
10
01
00
01
10
10
11
10
00
00
00
01
11
11
01
00
00
00
00
01
00
10
10
10
10
10
00
11
01
00
00
00
01
10
01
10
10
01
00
11
01
01
10
01
11
00
00
11
10
01
00
11
10
01
00
11
00
00
10
11
10
00
10
11
00
00
01
00
10
00
11
10
00
11
01
01
11
10
11
11
01
01
10
11
00
00
10
10
01
11
10
01
01
11
11
00
00
10
10
00
01
11
10
00
10
10
10
10
00
10
10
01
10
01
10
00
00
00
10
10
10
00
10
10
00
11
01
01
00
11
10
00
01
00
11
10
10
00
10
10
00
00
10
00
10
11
10
10
10
00
00
10
10
00
01
01
11
11
00
00
00
00
10
10
01
10
01
11
01
00
10
10
10
10
00
00
10
00
01
10
11
00
01
00
00
11
10
00
00
10
00
10
10
01
01
01
10
10
10
10
01
11
10
00
10
00
11
00
00
10
00
00
00
11
11
00
00
10
01
00
00
10
11
01
11
00
11
00
00
01
00
10
10
11
10
01
00
11
10
10
10
01
00
00
00
00
01
11
01
10
01
00
10
00
00
00
10
11
01
00
10
10
11
10
00
10
10
00
01
10
10
00
00
10
10
01
00
10
10
10
10
10
11
11
01
00
11
10
11
11
01
10
10
10
00
00
10
01
00
00
10
10
00
10
11
01
00
10
10
11
00
01
10
10
00
00
10
10
00
10
11
11
11
11
11
00
10
10
01
00
10
10
00
11
01
10
10
10
01
10
01
00
11
10
00
00
11
00
01
01
10
10
01
00
00
10
10
00
01
00
10
10
01
00
01
11
00
10
10
11
01
01
11
01
00
10
10
00
01
11
10
00
00
11
00
00
10
10
00
01
10
01
11
10
01
10
00
00
00
10
11
10
01
00
01
10
10
00
11
01
00
10
10
10
00
10
10
10
00
11
10
00
00
00
00
10
10
11
00
10
11
10
10
00
10
10
00
01
01
10
10
00
00
10
10
00
10
10
00
01
10
11
00
00
00
01
10
00
00
00
11
00
00
01
00
10
11
00
10
00
10
10
10
10
01
01
10
10
00
01
10
11
10
11
11
01
00
10
10
01
00
01
01
11
10
01
10
00
11
11
01
00
10
10
00
11
01
11
00
01
10
10
00
01
11
01
00
10
10
00
00
00
01
10
10
00
01
10
10
10
00
10
11
10
01
10
01
10
10
10
00
00
10
00
00
00
10
00
01
10
11
11
10
01
11
00
01
00
00
11
10
10
01
01
11
11
00
00
00
10
10
11
00
11
00
11
10
00
10
00
00
10
01
11
00
10
00
00
00
10
00
10
11
01
11
00
11
10
10
00
00
10
10
11
01
10
10
01
00
00
00
00
00
01
11
00
00
10
01
10
10
10
00
01
10
11
10
11
11
00
01
10
11
00
01
00
11
00
00
10
11
00
00
01
10
10
01
00
10
11
00
10
11
10
01
00
01
10
00
00
10
10
10
00
00
10
11
10
01
00
01
00
00
01
01
00
10
10
00
11
10
00
00
01
00
01
11
10
01
00
11
01
10
11
10
10
01
00
00
10
10
00
00
11
10
01
11
00
01
01
10
10
00
10
10
10
01
11
11
00
01
10
01
00
11
00
01
10
11
00
00
01
00
00
10
01
00
00
00
10
10
00
00
11
10
00
10
00
00
01
10
10
11
00
00
00
00
10
10
11
00
10
00
10
11
00
11
10
10
01
10
01
00
00
10
11
01
00
10
00
10
00
11
10
01
00
10
11
10
01
00
00
10
10
10
11
01
00
01
11
10
01
10
00
01
11
00
01
10
11
01
00
10
11
10
10
01
01
01
00
11
11
11
11
00
10
10
00
01
10
10
00
11
01
01
10
10
00
11
11
00
01
10
10
11
00
00
01
00
11
00
00
11
11
00
11
01
01
11
01
00
11
10
10
01
00
11
01
10
11
00
01
01
00
10
00
10
11
10
01
01
10
10
10
11
00
10
10
00
00
10
00
11
00
11
00
00
10
00
00
00
01
10
11
10
01
00
10
00
00
00
00
00
10
01
00
00
10
10
10
10
10
00
10
10
01
00
10
01
10
10
00
00
00
10
01
10
11
11
00
01
11
00
00
10
10
10
00
00
10
10
10
01
10
00
01
10
00
00
00
10
10
10
10
10
00
10
01
10
10
00
11
00
11
00
00
00
10
00
01
10
10
01
10
10
00
11
11
10
01
11
10
10
00
00
10
11
01
10
01
00
11
00
01
10
01
00
11
11
00
00
10
10
00
00
11
10
01
00
11
10
11
01
11
10
00
10
11
10
00
00
10
00
11
00
00
11
10
10
00
11
11
10
00
00
00
11
00
10
10
01
11
11
11
00
10
00
00
10
00
11
10
11
10
01
11
10
00
00
10
10
00
01
01
01
10
10
10
00
01
10
01
00
10
00
00
11
10
11
00
00
10
10
10
10
00
00
11
10
00
10
00
10
00
01
10
10
00
10
01
10
11
00
01
00
11
10
01
11
00
11
10
10
00
10
10
01
00
10
11
01
10
00
00
10
00
01
01
00
10
11
10
01
01
10
10
01
00
10
10
00
00
01
00
10
00
01
11
00
10
10
00
10
10
01
00
11
11
00
00
10
01
00
10
10
11
01
10
00
00
01
00
00
01
10
11
00
00
00
00
00
00
10
10
10
10
00
00
11
10
00
10
10
00
00
01
10
00
01
10
10
10
00
10
00
11
00
00
00
00
11
00
11
10
00
10
01
10
10
01
00
10
00
00
10
01
00
10
00
10
10
01
00
10
00
11
10
11
00
00
10
10
00
11
11
01
10
01
00
11
10
00
00
01
10
10
11
01
00
00
01
11
00
00
00
00
10
10
11
10
10
11
11
01
11
01
01
00
11
01
10
10
00
01
01
10
00
00
11
10
11
11
10
10
10
10
10
10
00
00
00
00
00
10
00
00
00
11
10
10
10
00
00
00
00
11
10
10
00
00
00
00
00
11
00
11
10
00
01
11
00
10
11
01
00
10
11
01
10
11
00
10
01
11
00
01
10
01
01
10
10
01
00
00
10
10
10
00
11
10
00
10
00
01
01
01
10
01
01
10
10
01
11
10
10
00
01
00
00
01
00
11
01
10
10
11
00
11
00
00
00
01
10
10
00
00
10
00
00
10
01
01
10
00
10
10
11
00
10
10
00
00
00
10
00
10
10
00
01
00
10
00
00
10
00
00
11
01
10
00
11
10
01
00
11
00
10
11
01
10
01
01
10
01
11
00
00
00
10
11
00
00
00
11
10
11
10
00
11
00
01
00
10
10
00
11
00
01
11
10
00
10
01
01
10
10
10
10
10
10
01
00
01
11
10
00
00
10
01
10
10
10
11
01
00
10
10
11
01
11
10
00
01
10
11
00
00
00
10
10
11
10
00
11
00
11
11
11
00
01
01
10
10
00
00
11
01
00
10
00
00
01
10
01
10
10
00
10
10
00
00
11
10
10
10
11
10
00
00
00
10
11
10
00
10
00
11
00
00
10
00
10
10
00
00
00
01
01
11
01
01
00
11
10
10
00
01
10
01
10
10
00
00
10
10
10
01
00
01
01
10
00
10
00
10
10
01
01
01
10
11
10
00
00
11
11
01
10
10
01
11
11
00
11
01
10
10
10
00
01
11
10
01
00
00
10
10
00
10
10
01
10
11
00
10
00
00
10
00
00
11
10
00
11
10
00
11
10
00
11
10
01
00
11
00
10
00
00
01
00
00
11
01
11
11
10
10
10
00
00
10
10
01
00
00
00
11
11
10
10
00
11
10
00
11
10
10
11
10
01
10
11
10
01
01
10
11
01
11
00
10
10
00
11
10
10
00
00
10
10
00
00
00
00
00
11
11
10
00
10
10
10
00
01
01
00
10
01
00
10
10
01
01
01
11
00
01
00
10
11
00
00
10
11
00
00
00
01
10
00
10
10
01
00
10
10
00
10
10
01
00
00
11
10
11
11
11
11
10
00
11
00
00
00
10
11
10
00
00
01
01
01
01
01
01
01
11
00
11
11
00
10
11
00
00
10
10
00
00
10
10
00
01
00
00
01
00
11
00
10
10
10
01
00
00
00
10
01
00
00
11
11
11
00
10
01
10
10
11
11
00
10
10
00
01
10
11
10
00
10
01
00
10
11
00
00
10
11
10
11
10
00
01
00
10
11
00
01
00
11
11
10
10
01
01
10
00
00
10
10
11
10
01
00
10
00
00
10
10
00
00
10
11
00
00
00
00
11
10
10
00
01
10
00
10
00
00
10
01
10
01
00
10
01
11
00
00
10
10
11
00
10
01
00
11
01
10
11
10
00
01
01
11
10
10
11
00
01
00
10
11
00
10
10
01
00
11
00
00
11
01
00
01
00
10
00
10
00
11
11
00
10
01
01
11
10
00
00
10
00
00
11
10
00
00
10
10
11
00
10
00
10
00
00
01
10
10
00
00
10
00
01
10
00
11
01
00
10
10
10
10
00
00
00
10
00
10
01
10
11
11
10
10
10
10
10
00
00
10
11
10
11
10
10
00
10
01
00
10
10
01
01
10
01
11
11
10
00
00
11
00
00
10
10
00
00
00
01
01
00
10
00
01
00
11
10
11
01
00
00
00
10
11
10
01
10
10
01
00
10
11
01
00
10
11
01
11
10
00
00
00
10
00
00
10
10
01
00
01
10
11
11
01
00
00
11
10
00
01
01
11
01
11
10
11
00
11
00
00
10
10
00
00
00
10
00
01
01
00
00
11
10
00
01
00
01
11
11
01
00
10
10
01
10
01
00
11
10
01
00
10
10
00
10
10
11
00
00
11
01
00
00
00
00
10
11
10
01
10
10
10
00
11
10
00
10
00
10
11
10
00
10
00
00
11
10
00
00
00
10
10
01
00
11
10
00
11
10
00
10
11
01
11
00
11
10
11
00
01
01
10
10
00
00
11
00
00
00
10
10
11
10
10
10
10
10
10
01
00
10
11
00
00
01
00
10
00
01
11
10
10
10
10
00
01
10
10
00
00
00
10
00
00
00
10
11
11
11
01
10
00
10
10
00
01
11
10
10
00
11
10
01
00
11
00
00
01
11
00
01
01
10
11
10
10
11
00
01
01
01
11
11
10
10
01
01
10
10
00
00
10
10
01
10
10
10
11
01
00
10
10
10
01
00
00
10
00
01
10
11
00
01
00
01
00
10
10
01
10
01
10
10
00
01
00
11
10
00
11
10
10
00
00
10
10
00
10
01
00
00
00
00
01
01
01
11
00
10
00
10
01
00
11
11
10
00
10
01
00
10
11
00
00
11
10
00
10
11
11
10
10
01
01
10
00
00
00
01
10
10
00
00
00
10
11
00
01
00
11
11
10
00
00
00
10
00
10
10
00
00
11
11
10
01
11
10
10
10
00
00
10
10
00
00
00
01
00
10
10
11
01
00
00
10
10
01
10
00
10
01
00
00
00
11
11
00
00
10
01
00
10
10
10
00
00
10
00
00
11
11
11
10
10
00
01
10
00
10
11
11
10
01
11
11
00
10
10
01
11
01
01
00
10
11
11
00
00
11
10
00
10
01
11
00
01
01
11
00
00
11
00
00
11
00
01
10
10
10
10
11
00
10
11
00
10
01
00
10
10
00
01
00
10
01
00
01
00
00
10
00
00
11
11
00
01
11
10
00
01
01
10
01
00
00
00
10
00
10
10
00
10
11
11
11
10
10
11
00
01
01
11
10
01
11
10
10
01
00
01
01
10
11
00
10
00
10
11
10
00
01
10
10
10
00
00
10
11
10
10
01
11
01
00
10
11
10
00
00
00
11
11
00
10
11
01
10
00
11
00
11
10
00
11
10
00
11
00
00
00
10
00
10
11
01
10
01
01
11
10
11
00
01
10
00
00
10
11
00
10
00
00
11
11
10
01
10
00
00
10
11
01
11
10
01
01
00
10
01
00
11
00
00
10
10
01
01
00
10
01
00
00
00
10
10
10
01
00
10
00
01
00
01
10
10
00
10
10
00
00
11
10
00
00
00
11
10
11
10
00
00
11
10
00
01
10
10
11
11
10
10
00
01
10
00
01
10
10
00
01
10
10
10
00
11
01
10
00
00
11
10
10
10
00
10
01
10
01
11
01
00
00
01
11
10
00
10
10
00
11
10
00
01
11
01
00
10
01
11
01
01
10
10
10
10
11
00
01
10
10
01
00
01
11
00
00
10
10
00
00
11
00
10
10
00
11
00
00
00
00
11
11
11
00
11
10
00
00
00
01
10
11
00
10
10
10
01
01
11
10
01
00
01
10
10
01
01
10
10
00
00
10
00
10
11
10
11
00
10
10
00
10
00
00
01
01
10
11
10
11
10
10
00
11
00
00
10
01
00
10
10
00
01
10
10
11
10
00
00
00
11
11
10
10
00
01
00
01
01
00
10
10
10
10
01
00
10
00
10
10
01
00
01
01
01
00
10
10
01
11
10
11
00
01
00
11
00
00
00
00
10
10
10
01
00
11
00
00
10
01
10
10
10
00
10
10
01
01
00
00
00
00
11
00
10
10
11
00
10
00
01
01
01
11
10
01
10
01
11
10
10
01
11
11
11
11
10
10
01
00
01
01
00
00
11
10
10
00
00
10
00
00
01
10
10
11
01
01
01
01
10
10
00
00
10
10
10
01
01
10
00
01
10
00
01
10
10
10
11
01
10
10
00
00
11
10
11
00
01
10
00
00
00
10
10
01
01
10
01
00
10
11
01
01
10
00
00
10
10
00
00
10
10
00
11
00
00
00
10
00
10
10
00
00
10
10
10
10
00
00
10
00
11
00
01
01
11
10
00
01
11
10
01
10
01
10
00
01
01
00
11
00
11
01
00
11
00
11
10
00
00
00
11
10
11
00
00
10
11
00
00
10
11
10
00
00
10
01
10
11
00
11
00
10
00
01
11
11
10
11
11
00
00
00
10
00
10
11
00
11
00
00
01
10
10
01
01
10
11
10
01
10
10
11
10
10
11
00
01
00
00
10
01
11
10
01
01
10
11
00
11
01
00
10
11
01
01
10
10
00
01
11
00
10
10
01
01
10
11
10
00
10
11
00
01
10
10
10
10
10
00
10
00
10
10
00
11
10
00
00
00
10
11
00
01
11
10
00
11
11
10
10
00
10
11
00
10
00
00
01
10
11
10
01
00
11
10
00
00
10
00
00
10
10
00
00
11
10
01
00
00
10
00
00
10
10
00
00
10
01
00
10
10
11
10
00
10
00
00
00
10
10
00
10
10
11
01
01
11
10
11
00
00
10
01
00
00
10
10
10
10
00
10
11
00
10
01
11
10
01
00
00
10
10
00
01
01
01
10
00
00
00
10
11
10
00
00
11
11
00
00
10
00
11
10
00
00
01
10
10
10
11
10
00
10
11
10
11
11
00
00
00
11
10
10
00
00
11
10
00
00
11
00
10
10
00
01
01
10
11
10
00
11
10
10
01
11
01
00
10
11
10
11
01
00
11
00
10
11
10
00
01
01
11
01
00
00
00
00
10
00
00
10
10
00
00
00
10
01
00
10
00
00
11
00
11
10
00
00
00
00
00
10
11
10
10
00
11
00
10
00
00
10
10
00
00
00
10
10
00
01
10
00
11
10
10
01
00
01
10
00
10
11
01
00
10
10
00
11
01
00
11
00
10
11
10
11
01
00
10
10
00
01
10
10
01
01
11
01
10
11
01
01
01
11
10
10
11
00
00
00
10
10
11
00
01
11
00
00
10
00
00
11
10
11
01
10
10
00
11
10
00
00
11
10
00
10
10
10
10
11
11
11
11
01
00
10
00
10
00
01
00
11
10
01
00
11
00
10
10
00
00
00
01
10
11
00
00
00
10
00
00
01
10
10
10
10
11
11
00
00
11
10
11
01
01
11
10
00
01
10
10
00
01
00
10
10
11
10
00
00
00
10
00
00
10
11
10
11
00
00
00
01
11
11
10
01
10
00
10
10
00
00
00
10
10
10
00
00
10
11
00
00
00
00
00
01
00
01
11
11
10
01
01
10
10
00
11
10
01
00
00
11
10
10
00
00
10
01
00
10
01
10
11
00
10
10
01
10
11
11
00
01
11
00
10
11
00
10
11
11
10
10
01
01
01
11
10
01
00
01
11
11
01
10
01
00
10
10
00
00
10
10
00
01
10
00
00
11
10
10
00
10
10
00
10
00
11
11
10
00
00
10
11
01
10
01
01
10
11
00
01
11
01
01
10
10
00
00
11
01
00
10
10
10
11
01
00
01
00
00
00
10
00
10
10
00
10
10
00
00
01
10
10
11
00
10
00
00
11
10
00
00
01
01
10
01
00
11
10
00
01
10
10
00
10
10
11
01
10
10
00
11
00
00
00
11
00
00
00
00
00
01
10
10
11
01
00
00
01
10
10
10
00
01
10
11
00
01
00
10
11
11
10
10
10
01
01
00
10
11
00
00
01
10
00
01
10
00
00
10
10
10
00
11
10
11
00
00
10
00
01
11
11
01
00
11
00
10
10
11
00
00
01
11
11
10
10
00
00
10
10
00
00
01
10
01
10
10
01
00
11
11
01
00
10
00
10
10
00
00
00
11
11
10
10
10
00
11
00
10
10
00
10
00
11
00
01
10
00
00
00
00
10
01
00
00
10
11
10
00
00
10
10
01
10
00
00
10
10
00
10
00
11
10
10
01
10
01
11
00
00
00
01
10
00
10
11
00
10
00
11
00
10
10
01
11
11
00
10
10
00
00
10
00
00
10
00
01
10
10
00
10
00
01
11
00
10
00
01
11
00
00
10
01
00
10
00
00
11
00
10
11
00
10
00
11
01
00
10
10
10
01
10
00
10
10
00
10
10
00
01
10
00
10
10
11
11
01
00
00
10
00
00
10
10
00
11
11
10
00
00
01
10
10
11
01
00
00
00
01
00
11
11
11
10
00
01
10
11
00
00
11
10
10
00
10
10
10
00
10
11
10
00
00
00
10
10
01
00
01
01
10
11
11
10
01
00
11
00
11
11
11
10
00
10
01
00
11
10
00
10
00
10
10
10
00
01
10
10
01
10
10
00
00
10
11
01
00
11
11
10
11
11
01
11
10
00
01
10
10
00
00
10
10
00
11
11
11
01
00
00
01
00
10
00
00
11
11
01
10
00
10
11
11
00
01
01
10
10
00
10
11
00
00
10
10
10
10
00
10
10
00
00
01
00
01
01
00
11
01
00
10
10
00
01
00
10
10
10
10
00
00
11
01
01
00
11
11
01
11
10
00
00
10
10
10
00
11
10
10
10
00
11
01
01
00
10
10
01
11
01
10
11
00
10
10
00
00
11
11
00
00
10
00
10
11
01
10
10
10
11
10
10
00
01
10
10
01
10
00
00
10
10
00
00
00
01
10
00
00
00
01
01
00
10
11
00
11
11
10
01
01
10
00
11
00
11
00
00
11
10
01
11
10
00
11
00
00
00
10
10
00
10
00
10
10
10
01
00
11
10
01
00
10
00
10
01
00
01
10
10
01
01
11
10
10
00
10
00
00
10
01
11
10
11
00
10
10
00
10
00
00
00
01
00
00
00
11
11
00
11
11
00
00
00
00
10
00
00
11
10
00
00
00
00
10
00
00
10
11
10
10
01
01
00
00
10
10
01
11
00
01
10
10
01
01
10
10
00
00
10
01
00
10
10
01
11
10
00
01
00
11
00
10
10
11
00
10
00
01
00
10
00
01
10
11
00
10
10
10
00
00
01
10
10
00
00
00
00
00
10
10
01
00
00
00
01
00
11
00
00
11
10
10
00
11
11
10
00
00
11
00
00
10
10
10
10
10
00
00
10
10
01
11
00
00
00
00
00
10
00
11
10
11
00
01
11
11
01
10
11
10
00
00
10
10
01
01
11
01
00
11
01
10
00
00
10
00
11
11
01
00
00
10
10
10
00
01
10
10
00
01
10
10
00
01
00
00
10
10
11
01
10
10
11
01
00
00
11
10
01
00
10
00
11
10
00
00
11
00
00
01
11
00
01
10
11
00
01
10
01
10
11
10
00
00
10
10
10
00
11
10
01
00
00
11
10
00
10
00
00
11
00
10
11
10
00
00
10
00
10
00
01
10
00
00
10
10
01
00
11
01
11
01
00
00
10
10
10
11
10
01
00
01
00
11
10
00
00
11
00
00
01
11
00
00
01
10
01
00
10
00
00
10
11
10
00
00
11
10
01
11
10
11
00
10
10
01
01
10
01
01
10
00
00
10
10
01
10
01
10
10
11
01
00
10
00
01
00
10
10
10
11
00
11
10
01
11
10
01
10
01
10
10
00
10
00
00
00
10
10
01
10
11
10
00
10
11
11
10
10
00
00
10
00
00
01
10
11
00
00
11
10
01
10
00
01
01
11
10
10
00
10
00
10
10
00
01
00
10
11
00
01
00
10
10
00
00
10
00
00
00
00
00
10
10
10
11
01
10
01
10
10
00
01
01
10
01
00
11
00
11
11
00
00
10
10
01
00
11
10
00
10
00
11
01
00
10
01
00
00
00
10
00
01
11
00
01
00
11
11
11
00
10
11
10
00
01
00
10
10
01
01
11
00
11
10
00
11
11
00
00
00
00
10
10
10
11
00
00
01
11
00
01
10
10
10
10
11
01
01
10
11
11
10
10
00
10
01
00
11
10
00
10
01
01
11
10
10
00
11
10
00
01
01
01
00
00
11
10
00
11
00
01
10
00
00
00
00
10
10
10
11
00
01
10
10
10
00
00
00
00
10
00
11
11
00
10
11
10
11
00
10
10
00
01
10
11
01
01
01
10
10
01
01
10
11
00
00
10
11
00
00
10
10
00
11
10
00
00
10
10
10
00
10
10
01
00
10
00
00
11
10
10
00
00
00
00
00
10
11
10
00
00
10
01
01
00
10
01
01
00
00
11
10
00
10
00
00
11
00
00
11
11
11
00
01
10
10
10
00
00
00
10
11
11
00
01
10
01
00
11
00
01
00
00
00
10
10
00
00
10
00
00
10
10
00
10
10
10
00
00
11
10
10
11
11
11
11
00
01
10
10
00
11
00
11
11
00
10
00
10
00
10
11
00
10
00
10
00
10
00
10
00
01
10
00
11
10
11
01
00
00
10
10
01
10
10
00
00
11
10
10
10
00
10
10
00
00
10
00
10
10
00
10
10
11
10
00
10
00
00
10
00
10
01
00
00
11
00
10
01
00
11
10
00
11
00
10
00
00
10
11
01
00
10
00
00
10
11
11
00
00
11
11
01
11
10
11
01
00
10
10
01
00
01
00
10
11
00
11
11
00
00
11
00
01
00
10
01
01
11
11
10
11
10
00
01
00
10
11
00
01
00
11
11
00
01
10
10
11
10
10
10
01
01
00
00
10
10
01
10
01
10
00
01
01
10
10
00
00
00
11
00
10
10
10
11
10
10
00
00
00
00
10
11
00
00
00
10
01
00
10
10
10
00
10
10
00
01
00
10
01
01
10
00
00
01
10
01
01
11
00
11
01
01
10
11
10
00
10
10
01
10
10
11
10
00
10
00
00
10
10
00
10
00
11
11
11
10
10
01
00
10
00
10
10
10
01
10
00
00
01
00
00
00
10
00
00
11
10
00
10
10
00
10
11
01
10
10
00
00
11
01
01
10
01
10
10
10
10
11
00
00
00
11
00
10
11
01
00
11
00
00
01
00
11
10
01
01
10
10
10
00
00
10
10
10
00
01
10
10
01
10
10
00
00
11
00
01
10
10
00
00
01
00
00
10
10
01
00
00
10
00
00
00
11
00
01
10
10
10
01
00
11
11
00
11
10
10
10
01
00
10
10
01
00
10
11
00
10
00
01
10
11
10
00
10
00
11
10
01
01
00
10
01
11
11
00
00
00
00
10
00
10
11
11
00
00
00
00
10
00
10
00
01
11
10
11
11
00
00
00
00
10
10
10
11
00
11
00
11
01
01
10
00
11
10
01
00
10
10
11
01
00
00
10
10
10
11
00
01
01
11
10
00
11
01
01
10
00
00
10
01
01
11
10
00
01
11
00
11
10
01
10
11
10
00
01
11
10
01
00
10
00
00
01
01
00
10
10
00
10
00
11
00
10
01
11
01
01
10
10
11
00
01
11
10
00
01
01
00
00
10
10
00
11
00
01
11
11
00
10
00
01
10
10
11
10
10
00
00
01
00
00
01
10
01
11
00
10
00
10
00
10
10
01
00
10
10
10
11
11
10
10
11
10
00
00
10
00
10
00
00
11
10
01
00
00
01
00
00
10
01
00
10
10
00
01
10
00
01
10
01
01
00
10
01
00
11
10
10
01
01
00
00
10
11
00
11
00
01
00
10
01
10
01
11
01
00
00
10
00
00
10
00
11
11
10
01
00
01
11
10
10
11
01
11
10
00
00
00
11
00
10
10
11
00
00
00
10
11
10
00
10
10
01
00
10
00
01
10
00
11
00
11
11
00
10
00
10
00
11
00
00
01
01
11
10
11
00
01
10
11
00
00
10
10
00
10
10
00
10
10
10
01
01
11
00
11
00
11
10
00
10
10
10
10
00
00
10
00
01
10
10
10
00
00
11
11
11
00
00
00
01
00
00
10
11
00
01
01
10
10
00
00
10
00
10
10
11
01
01
01
00
01
10
10
00
10
10
01
01
10
11
01
10
00
00
10
11
11
00
10
10
10
10
01
00
00
11
00
10
11
11
10
01
10
01
10
10
00
11
10
01
10
10
01
00
01
00
00
10
10
00
11
10
01
11
00
01
10
00
00
00
10
10
10
01
00
11
11
10
10
11
11
10
00
00
10
10
00
10
10
00
00
10
10
11
00
10
10
10
00
01
11
10
01
00
10
10
01
00
01
11
11
01
11
00
00
00
11
10
00
11
11
01
11
01
11
00
10
00
01
10
11
10
11
11
00
00
11
11
01
00
11
10
01
00
00
00
11
01
01
10
11
10
11
00
01
01
10
10
00
00
11
00
00
10
00
00
10
10
01
10
01
00
00
10
00
10
10
00
00
10
10
10
01
10
10
10
00
01
01
00
10
11
00
10
01
11
10
00
00
11
01
11
10
10
00
00
11
00
01
11
10
00
11
11
10
00
00
10
11
00
00
10
10
00
00
10
01
10
01
10
10
11
10
01
10
10
10
00
11
01
01
10
01
10
00
10
01
11
00
00
11
01
00
10
00
11
00
00
10
11
00
01
10
00
10
00
11
10
01
00
10
00
11
00
10
10
01
11
00
10
00
00
01
11
10
00
01
00
10
01
00
11
10
01
01
11
10
00
01
00
01
10
01
00
00
00
10
10
00
11
10
00
01
11
11
10
11
11
10
01
10
10
00
00
10
10
00
00
00
00
10
10
00
00
00
00
11
10
01
11
00
00
10
00
00
00
10
11
00
01
10
11
11
10
01
00
00
01
00
11
11
00
10
11
00
00
01
00
10
10
01
01
01
00
10
10
11
10
10
11
00
00
10
00
01
10
00
10
10
00
01
10
10
10
01
11
00
10
00
11
10
01
00
10
10
10
00
00
10
11
10
00
11
01
10
01
10
00
01
10
00
10
10
00
00
10
00
01
00
01
01
11
10
01
01
10
10
00
01
10
00
00
00
11
00
11
11
11
00
10
10
11
00
01
01
10
01
00
00
10
10
00
11
00
00
00
00
10
01
10
10
11
00
00
00
10
00
01
00
00
00
11
00
00
10
00
00
10
00
00
10
10
00
00
00
10
11
10
11
00
10
00
01
00
11
11
00
11
11
10
00
11
10
01
00
11
10
10
10
10
00
01
00
01
10
11
10
10
01
00
00
11
01
01
11
10
00
00
00
10
10
01
01
11
00
10
11
00
00
11
10
01
01
01
00
10
10
00
01
10
11
00
00
10
10
10
00
01
00
11
10
01
00
11
10
01
00
10
11
11
11
00
11
10
01
00
01
11
11
00
01
01
10
10
00
11
11
00
01
11
00
01
11
10
00
00
11
10
01
00
10
11
00
01
01
00
10
10
01
00
10
11
00
10
10
00
10
00
11
10
00
11
00
01
10
01
00
00
10
01
00
10
10
00
10
00
00
00
00
01
10
10
00
10
00
10
11
10
00
10
11
10
10
10
10
10
00
00
00
10
00
00
10
10
11
10
10
00
00
00
00
01
01
00
10
11
10
01
11
10
10
11
00
00
00
10
10
10
00
00
01
01
00
10
01
10
10
10
00
00
10
10
10
00
10
00
10
00
11
10
01
10
11
00
00
10
10
11
01
00
11
10
00
00
00
00
10
10
00
10
01
11
11
00
00
00
11
00
00
00
10
00
10
00
00
00
10
10
00
00
11
00
01
00
10
11
10
10
01
00
10
00
00
01
11
00
10
11
01
01
01
11
11
10
11
10
00
00
11
00
00
01
10
00
11
11
01
01
00
10
00
00
11
00
00
10
00
00
00
10
01
01
00
10
01
11
10
00
00
01
10
10
10
01
10
01
01
10
10
10
11
00
10
10
00
11
10
00
00
01
00
01
10
11
01
00
00
10
10
10
10
00
00
10
10
10
10
00
00
10
00
10
11
00
10
10
00
11
10
01
00
10
01
00
10
10
10
00
11
00
00
11
00
11
10
01
01
11
11
11
00
10
01
00
10
10
01
00
11
01
10
10
10
10
00
00
01
11
01
10
10
11
11
01
00
00
11
10
01
00
10
10
01
01
11
10
01
10
11
10
10
01
00
01
11
00
10
00
10
11
10
11
01
01
00
10
00
11
00
01
01
10
10
10
10
10
01
00
10
00
10
10
00
10
00
00
00
10
10
10
00
10
11
00
10
01
10
11
01
00
01
10
00
10
10
00
10
10
01
01
11
00
11
10
01
11
11
00
00
10
10
10
01
01
11
00
00
00
00
11
11
00
10
01
11
10
01
00
11
01
10
01
10
11
00
00
11
10
00
10
10
00
01
00
11
10
00
01
10
01
00
00
10
10
00
11
01
00
10
00
01
00
01
00
10
10
00
10
10
10
00
11
01
01
00
01
11
11
10
10
00
10
00
01
11
00
00
10
10
10
01
00
01
10
00
00
00
10
11
11
00
01
11
10
10
01
10
11
01
10
11
10
11
10
00
10
00
00
11
11
01
01
10
00
01
01
11
00
10
11
00
01
00
00
11
10
00
00
01
10
11
10
11
00
00
11
10
10
00
01
11
00
00
11
00
11
11
01
01
00
11
11
10
00
00
10
00
00
10
11
00
00
10
01
00
01
11
10
01
10
01
00
10
01
10
00
00
11
10
01
00
00
01
10
00
10
01
10
10
00
10
00
00
00
10
11
11
00
11
10
01
00
00
11
10
10
00
10
00
10
00
00
00
11
01
10
00
10
00
00
00
00
10
01
00
10
00
11
00
00
00
01
10
10
10
00
10
10
01
00
00
10
00
10
10
10
00
10
10
10
10
11
10
10
10
00
11
00
00
10
00
10
10
00
10
00
01
00
10
10
01
00
01
10
00
01
00
01
10
10
00
10
01
11
11
10
01
10
01
11
00
00
01
00
10
00
00
11
10
11
10
00
00
11
01
01
11
11
11
01
11
01
01
00
11
10
11
10
10
00
00
01
11
11
01
00
11
01
10
11
00
00
10
01
00
11
00
10
10
11
11
10
11
01
00
10
01
01
10
11
00
11
10
10
10
01
00
01
10
11
00
00
11
11
11
01
01
11
00
00
00
00
00
10
10
00
10
00
01
10
10
10
11
01
10
00
10
11
00
01
00
10
00
10
00
10
00
00
10
00
01
11
10
10
01
11
01
11
10
00
00
00
00
10
10
11
11
00
10
00
00
01
10
00
01
11
01
01
00
10
10
00
10
10
01
01
10
11
11
10
10
01
00
00
10
10
10
01
00
11
01
10
10
00
10
01
00
10
11
00
11
10
10
10
11
00
01
11
00
00
01
01
10
10
00
11
10
00
10
00
10
10
00
11
10
00
00
10
01
01
10
11
11
10
00
10
11
01
00
11
10
00
01
00
01
10
10
00
00
00
10
01
10
11
00
11
11
00
01
00
11
00
10
10
10
01
01
11
11
00
00
10
01
00
10
00
00
10
11
00
10
10
00
00
11
10
01
00
10
10
00
01
10
00
00
01
00
00
01
10
10
10
00
00
00
10
10
10
11
00
10
10
11
11
10
11
00
00
10
00
00
10
10
00
10
00
01
11
10
00
10
01
10
10
00
01
11
10
01
01
00
01
10
00
00
11
01
11
11
01
11
10
10
10
10
01
00
11
10
01
10
10
10
11
00
11
01
00
10
00
00
10
11
00
10
00
00
10
10
10
10
11
00
10
00
10
10
10
00
00
10
10
10
11
10
11
10
11
10
00
00
00
01
10
11
10
10
10
01
00
01
01
10
10
00
11
10
10
00
00
11
10
01
11
11
00
10
10
10
01
00
10
01
10
01
00
00
00
10
11
10
11
00
10
10
10
00
00
11
10
10
11
00
01
00
00
10
00
00
10
10
00
01
00
01
10
11
01
01
01
00
10
11
01
01
00
10
10
10
10
00
10
10
01
01
11
00
10
00
00
10
10
00
00
00
01
01
10
10
11
01
10
01
01
11
10
10
10
00
00
10
00
01
00
10
01
10
10
01
10
10
01
10
10
01
00
11
10
10
00
00
01
11
11
00
01
10
10
11
00
01
11
11
00
00
10
10
01
01
11
10
00
10
01
01
01
11
10
10
11
00
00
10
11
01
01
10
11
00
00
11
00
01
10
10
00
10
10
01
01
01
10
11
10
10
11
00
10
10
00
00
11
00
11
11
10
01
10
11
00
11
10
00
00
10
00
00
00
11
10
11
10
00
10
10
10
00
00
11
00
10
11
01
00
01
00
10
10
10
10
10
00
01
01
10
00
01
00
00
01
00
10
11
00
10
00
10
01
11
01
00
11
10
00
10
01
11
11
01
10
11
10
00
01
01
10
00
10
00
00
00
00
11
01
00
10
10
00
11
11
11
00
10
01
10
01
00
11
10
10
11
10
11
10
00
00
10
11
00
00
11
01
00
10
10
00
00
10
11
10
01
10
11
00
10
10
00
00
10
00
11
01
00
00
11
10
01
10
00
01
10
10
01
11
10
10
00
01
00
01
10
11
11
00
10
10
11
00
10
01
00
10
10
00
10
10
00
00
10
00
01
11
10
01
00
00
10
10
00
10
01
00
10
00
00
01
00
00
10
11
00
10
00
11
11
10
11
00
00
10
00
00
01
10
10
00
00
00
10
00
00
10
01
10
00
10
00
00
00
10
10
01
01
00
11
00
00
00
00
00
10
10
11
00
11
00
00
11
10
00
10
10
00
10
00
10
01
01
01
00
11
01
00
00
01
11
10
11
01
11
10
00
00
10
10
01
11
11
00
11
10
10
11
10
00
01
10
11
11
00
01
01
00
01
00
11
00
00
11
10
01
00
11
10
00
00
10
10
00
11
11
01
00
00
11
00
10
00
10
10
10
01
00
00
10
01
00
00
11
11
00
00
00
10
00
00
01
01
10
10
10
01
10
11
10
01
01
10
00
11
10
01
11
00
10
10
10
11
10
00
00
10
01
00
11
11
00
00
10
10
00
10
10
10
01
11
11
00
01
10
01
11
10
00
00
10
11
00
10
10
01
10
00
00
10
11
00
00
01
11
00
10
00
00
00
11
11
00
10
10
01
10
10
11
00
10
00
00
10
00
00
10
00
11
00
00
11
10
00
00
10
10
00
11
00
00
01
00
10
10
10
00
10
00
00
11
10
10
10
00
10
10
00
10
00
10
11
01
00
00
00
10
01
00
11
11
10
01
10
00
10
00
10
10
00
01
10
10
00
10
01
00
01
10
00
00
10
00
10
10
00
00
00
00
10
10
10
00
01
10
10
01
10
01
00
10
10
01
00
10
11
00
00
10
00
01
10
01
01
00
00
10
11
00
00
00
10
10
01
00
11
11
01
00
11
00
11
11
00
10
10
01
11
00
00
11
10
00
00
01
11
10
01
00
01
00
01
00
00
10
00
10
11
00
00
10
01
00
11
00
01
10
10
01
01
10
11
10
01
11
00
10
10
10
01
10
10
10
10
01
00
00
00
10
11
11
00
10
11
00
10
00
10
11
11
01
01
00
00
10
10
10
00
00
01
01
11
11
00
10
00
00
00
10
10
01
01
00
00
10
00
11
11
10
00
01
01
10
00
10
10
01
00
00
01
00
10
10
01
00
00
11
00
00
11
00
10
10
10
01
00
00
10
11
10
00
01
10
00
00
10
10
00
00
10
10
00
10
10
01
00
01
01
10
10
00
10
11
00
01
11
01
11
11
00
10
01
01
11
11
00
00
10
00
00
00
10
10
01
01
00
11
00
10
00
00
00
01
10
10
10
00
10
10
00
10
10
10
00
10
10
10
00
00
00
01
00
00
10
00
00
11
01
11
00
11
01
01
01
01
01
10
10
00
11
01
01
10
10
00
01
11
00
00
10
10
01
10
11
10
11
00
00
11
10
00
01
11
10
10
00
10
11
01
11
00
00
00
01
11
10
01
00
10
10
10
10
01
00
00
00
01
00
10
00
11
01
00
01
10
10
11
10
10
11
00
01
00
10
01
10
10
00
01
11
00
00
10
00
00
01
10
11
10
10
00
00
01
01
10
10
10
00
01
11
00
10
10
01
00
01
00
11
10
10
00
00
11
00
10
10
01
11
00
10
10
01
01
01
10
10
00
11
10
10
00
00
11
10
11
00
11
10
10
00
11
00
00
01
11
10
00
01
00
10
00
00
11
10
10
11
00
01
00
01
11
00
11
11
10
10
10
01
11
01
01
01
10
10
00
00
10
10
00
01
00
10
01
00
01
10
00
00
10
00
11
01
10
00
00
00
10
00
00
00
00
00
11
01
11
10
00
00
10
10
01
01
00
10
00
00
01
11
10
10
01
00
10
00
00
10
10
00
11
01
10
10
10
10
10
11
01
10
11
00
10
11
10
10
10
01
00
01
10
00
10
00
01
10
10
10
01
00
10
00
00
00
10
10
01
00
11
00
10
01
11
00
11
00
00
10
10
01
00
10
10
10
00
00
00
01
00
10
10
10
10
10
00
11
10
10
10
10
00
10
10
01
10
10
01
10
01
01
11
00
00
01
10
10
00
00
10
00
01
10
00
10
10
01
10
10
11
10
00
00
01
10
10
10
10
10
11
00
00
00
11
10
10
11
00
10
11
11
00
11
00
10
10
00
10
10
00
00
01
10
11
00
10
10
11
10
11
00
10
00
00
10
11
00
00
11
01
00
01
00
00
00
11
11
01
11
11
10
10
10
10
10
00
01
11
10
10
01
00
10
00
01
00
10
10
00
01
01
11
10
10
11
00
00
10
10
01
00
11
00
01
11
10
11
10
01
00
11
00
11
10
01
00
10
10
01
00
11
11
01
10
11
00
00
11
10
00
00
10
10
00
00
00
11
10
01
00
00
10
11
10
00
00
10
00
01
11
01
00
10
00
10
00
11
00
01
00
10
00
00
00
00
00
01
10
00
01
01
11
00
10
11
00
00
10
11
00
10
11
01
00
00
00
10
11
10
00
10
00
11
00
01
10
10
01
00
10
01
11
11
00
00
00
10
01
01
10
10
00
10
10
01
00
11
11
00
11
10
01
10
11
01
10
11
01
00
01
11
10
10
11
00
00
01
11
00
00
10
11
11
00
10
11
01
01
10
11
01
01
00
01
00
10
10
00
10
00
00
11
00
01
10
10
00
00
00
10
10
11
10
00
00
01
10
00
10
10
11
10
11
00
00
10
00
10
10
10
00
11
01
10
00
11
00
00
10
01
00
01
00
11
10
00
10
00
10
10
11
00
00
00
11
10
00
00
10
10
10
10
01
00
10
00
01
01
11
00
00
00
10
00
10
10
00
10
00
11
11
01
00
10
01
00
00
01
10
10
11
10
00
10
00
00
11
10
10
00
00
00
10
10
01
10
11
11
10
00
10
10
10
00
00
00
10
11
00
11
10
10
11
10
10
10
10
00
10
10
11
01
10
11
10
00
11
10
01
10
00
01
00
11
10
01
01
01
11
00
00
10
11
01
00
10
10
00
00
00
10
11
00
11
00
00
01
10
10
01
00
10
01
01
00
10
01
10
11
10
11
00
10
11
11
10
00
00
10
11
01
00
01
10
10
10
01
10
00
11
10
11
01
00
11
10
00
01
00
11
01
11
11
10
00
01
00
10
10
01
00
00
10
00
00
00
01
11
11
01
10
10
01
10
11
01
01
10
10
10
10
10
11
00
00
11
10
00
01
00
10
00
10
10
11
00
00
10
00
00
10
10
00
10
01
11
00
01
00
00
00
00
10
10
01
00
11
00
00
11
10
11
11
10
01
10
10
00
00
00
00
10
10
01
10
11
10
00
11
01
01
01
00
11
01
10
10
00
00
10
01
10
10
00
00
00
00
11
00
10
00
10
00
01
10
11
10
01
10
11
10
00
00
10
10
00
01
11
10
10
01
10
11
11
00
01
10
01
10
10
00
11
10
01
01
11
00
10
10
11
00
11
10
01
00
11
00
01
11
10
00
01
10
00
10
10
01
01
01
10
11
00
11
01
00
00
11
10
00
00
10
10
11
00
00
00
10
00
10
10
00
00
10
01
11
01
01
10
01
10
10
01
00
10
11
10
01
00
00
11
00
10
10
10
00
10
10
00
11
10
00
01
00
01
11
01
10
11
00
10
10
01
01
10
01
10
00
00
10
10
00
11
00
10
10
10
10
00
00
11
10
11
00
11
10
10
00
00
00
10
10
00
10
11
01
00
10
00
00
11
10
10
10
00
00
01
10
00
11
10
10
11
01
00
11
00
10
11
10
10
00
01
10
11
10
10
00
01
11
00
11
10
01
11
00
00
10
00
01
10
10
00
11
11
00
00
11
10
10
10
00
11
10
00
00
00
10
00
01
10
01
11
10
00
10
00
00
00
00
11
10
11
00
01
01
11
10
11
00
10
01
00
10
01
00
10
10
11
00
01
10
10
10
10
00
01
11
10
10
01
10
11
00
01
11
01
01
10
10
00
01
10
10
00
01
00
00
00
10
01
01
10
10
10
00
00
00
10
10
01
10
01
01
10
10
00
10
10
10
01
00
00
10
01
10
00
10
10
00
11
11
11
01
00
10
00
01
00
11
10
01
10
10
10
10
10
01
01
10
11
00
10
10
10
01
10
10
00
10
11
01
01
10
00
01
01
00
01
01
10
01
01
11
10
00
01
00
10
10
10
00
01
01
00
10
10
00
00
00
01
10
11
00
00
00
11
00
01
00
10
10
10
01
00
01
10
11
00
11
01
01
10
00
10
10
01
11
10
00
00
10
11
00
10
10
00
11
10
00
00
01
01
01
11
00
01
10
11
00
11
00
00
00
10
10
11
10
00
00
11
10
10
00
00
10
10
01
11
01
00
00
11
00
10
11
00
01
11
10
01
00
10
10
10
00
01
00
00
01
11
00
11
10
01
00
01
10
10
00
00
10
11
00
00
00
00
10
11
10
00
01
10
00
10
00
10
00
00
01
10
11
01
00
00
11
00
00
10
10
01
00
11
11
10
00
00
00
10
01
01
00
10
11
10
10
11
00
10
10
00
11
00
01
00
11
10
11
10
01
10
11
01
01
01
00
10
01
10
11
10
00
00
00
01
11
11
10
01
11
00
10
00
00
00
10
11
00
10
10
01
01
00
11
01
11
10
10
01
10
00
11
11
01
00
01
10
10
01
00
01
10
01
01
11
11
01
10
00
11
10
00
00
10
10
00
11
00
01
01
00
00
00
10
10
10
01
10
10
00
00
00
10
10
11
10
01
01
00
10
11
11
01
10
11
00
10
11
10
10
10
10
00
11
11
00
01
10
10
00
00
01
00
00
00
11
11
01
10
11
01
00
00
10
00
10
00
00
10
10
00
00
10
11
10
00
01
00
00
11
11
10
10
00
01
00
10
01
01
00
11
00
10
10
10
10
10
10
00
11
10
00
11
00
10
00
01
00
01
10
10
10
11
01
10
11
10
11
10
11
10
01
00
10
10
00
00
11
11
11
01
00
10
10
00
01
00
11
11
10
01
10
00
01
10
11
10
01
00
00
10
10
11
01
00
10
10
10
00
01
00
01
10
10
00
10
10
10
10
00
10
00
10
10
10
00
10
01
00
11
00
11
11
01
10
11
01
00
11
00
00
10
11
00
00
10
10
10
10
01
10
01
00
10
10
00
01
10
00
00
11
00
01
10
01
11
01
11
00
00
10
00
10
01
00
11
00
10
01
01
01
10
01
00
00
00
10
11
00
01
00
11
10
10
01
10
00
01
00
00
01
00
10
10
10
01
00
11
10
01
01
01
00
11
00
01
11
11
00
00
10
10
11
00
10
10
00
10
10
00
00
00
10
11
10
11
01
10
00
00
10
10
00
01
11
10
10
11
00
00
11
11
00
00
11
11
01
00
11
10
10
10
00
00
00
00
00
00
10
11
00
01
11
01
01
00
00
10
10
11
11
00
01
11
10
00
10
00
01
10
10
01
10
11
10
00
00
00
00
10
01
10
11
11
00
01
10
01
00
00
10
10
01
10
10
10
10
00
00
00
10
10
10
00
11
10
01
00
00
10
10
01
01
00
00
00
10
10
10
10
00
00
11
10
00
00
10
00
00
00
10
00
01
10
00
10
00
10
11
01
00
00
10
10
11
00
10
10
10
00
00
10
01
10
11
10
00
00
00
00
01
10
11
00
10
11
00
10
00
11
01
00
00
00
11
11
10
00
00
10
10
01
10
00
00
11
10
10
10
11
10
10
00
10
10
10
10
00
10
11
00
10
00
00
00
10
11
01
00
10
10
11
10
10
01
00
10
00
10
11
01
00
10
00
01
01
00
01
01
00
10
00
10
11
10
01
00
11
10
10
00
10
00
01
11
00
01
00
01
00
00
01
11
00
10
01
00
10
11
01
11
10
00
10
01
01
01
10
11
00
10
10
11
00
00
10
11
10
01
10
11
01
01
00
00
00
10
00
01
10
10
00
00
11
10
10
01
00
01
01
10
00
11
10
10
00
00
00
11
10
10
10
01
01
11
10
10
10
10
10
00
00
10
10
10
00
00
10
00
10
11
11
00
01
10
10
10
01
00
10
00
01
11
01
00
10
01
10
00
00
11
00
00
10
10
11
00
00
00
01
10
11
10
01
10
10
00
00
00
00
11
11
00
11
00
10
01
00
01
10
10
11
10
01
00
10
10
00
11
10
11
10
00
10
00
01
00
01
01
00
11
10
10
00
00
10
10
10
00
00
10
00
00
00
10
10
00
10
00
10
10
00
10
00
00
01
10
10
01
10
01
11
11
01
01
00
10
11
00
10
10
01
10
11
11
00
11
11
01
10
10
00
10
11
00
11
11
01
01
11
10
01
01
00
11
00
01
10
11
01
10
11
00
10
11
11
01
00
00
11
00
10
00
10
10
01
01
11
10
00
10
00
01
00
00
10
10
11
00
01
10
11
00
10
11
11
11
00
00
01
10
11
10
01
00
10
11
00
10
00
01
00
10
00
10
00
00
10
10
10
00
01
00
00
10
11
01
10
01
00
11
01
01
10
01
10
11
01
00
01
00
01
11
01
01
11
01
00
01
10
10
10
00
00
10
11
01
00
11
01
00
11
00
11
00
00
10
10
10
00
00
10
10
10
00
00
01
00
11
00
00
10
10
11
10
01
11
11
00
00
01
11
00
00
00
10
00
00
00
10
10
01
01
00
01
11
10
00
00
10
10
11
01
10
10
00
01
00
00
00
10
00
00
10
00
01
10
10
00
10
11
10
01
01
11
10
00
10
10
00
00
10
00
10
10
10
00
00
10
00
00
10
00
00
01
10
11
11
11
00
10
10
01
01
10
10
00
11
00
11
01
00
00
10
11
00
10
11
01
10
10
10
01
11
10
00
00
10
00
00
10
00
00
01
11
11
00
00
00
10
11
10
00
10
00
00
11
11
11
00
10
11
00
01
10
11
00
10
10
10
10
11
00
00
01
11
11
00
01
10
11
00
01
00
11
10
01
10
10
01
00
10
10
01
00
11
11
01
11
10
10
00
10
10
00
00
11
11
01
10
10
00
10
01
00
11
11
00
01
01
01
10
10
00
00
00
11
10
00
10
10
01
00
10
01
11
10
00
00
10
11
10
00
10
00
00
00
10
10
01
01
00
10
10
10
00
11
11
00
10
00
10
00
10
10
00
11
10
10
00
10
10
11
00
10
01
01
10
10
10
00
10
10
10
10
01
10
00
00
00
00
01
00
10
10
00
00
10
10
00
11
11
11
11
11
01
10
00
00
00
01
11
10
10
11
00
00
00
00
10
10
01
00
00
00
11
10
01
00
10
00
10
11
00
00
10
00
01
10
00
10
10
11
11
10
00
00
10
01
00
01
00
11
10
10
00
00
00
10
10
00
11
11
11
10
01
00
01
10
10
00
00
10
11
00
00
11
11
00
10
01
10
10
00
00
11
00
00
10
10
01
01
00
00
11
01
10
10
11
01
00
00
01
01
11
10
01
00
10
01
01
00
10
10
00
10
00
00
10
00
11
00
11
00
00
00
00
00
10
11
00
00
11
10
01
10
10
01
00
11
10
10
01
10
10
00
00
00
00
10
11
11
00
10
10
00
11
10
11
01
00
10
11
10
01
10
00
11
11
00
11
00
11
10
10
01
01
10
11
11
01
00
00
10
10
10
00
10
11
00
10
11
00
00
11
10
10
10
01
01
11
00
10
10
00
11
11
10
00
01
11
10
00
01
01
10
11
10
10
10
10
10
00
00
10
10
10
11
10
01
01
00
10
10
11
10
10
00
00
10
10
00
10
01
01
01
10
11
01
00
01
10
10
00
10
01
10
00
10
11
00
00
10
10
10
10
00
00
10
00
00
11
00
10
11
00
11
10
01
10
00
00
10
01
00
10
11
01
01
00
10
11
00
00
01
00
10
10
00
11
11
01
01
00
01
00
10
00
10
10
11
10
00
01
10
11
00
00
00
00
00
11
11
00
00
10
01
11
00
01
10
00
11
11
10
10
00
00
01
00
11
01
01
11
00
00
10
00
11
01
00
10
11
11
00
00
00
00
10
10
00
00
10
11
00
01
11
11
00
00
10
10
11
01
01
10
11
01
10
00
00
10
11
11
00
10
10
00
10
00
10
00
10
10
01
10
00
10
11
00
10
11
00
11
01
10
10
11
00
11
10
00
01
00
10
01
11
10
00
00
00
01
11
11
10
10
10
00
10
01
10
10
00
00
10
10
00
01
11
11
10
10
00
10
11
10
00
01
00
11
10
01
01
10
11
00
10
10
01
11
10
01
01
00
00
01
10
11
00
01
01
01
10
11
00
10
10
00
01
10
00
00
10
01
11
10
00
11
00
01
00
10
00
10
10
00
10
10
10
00
11
10
11
00
00
10
01
01
00
10
10
10
01
11
10
10
10
00
00
00
10
11
00
11
10
00
11
11
10
01
00
11
00
01
01
00
00
11
10
00
10
10
10
10
01
10
00
10
11
01
10
11
01
00
10
10
01
00
00
10
11
10
00
10
10
00
01
10
00
11
10
10
10
10
00
01
00
00
10
00
00
10
00
00
10
00
10
11
10
00
00
01
11
11
00
10
11
01
00
00
00
00
01
00
10
10
10
10
10
10
00
00
10
00
10
10
00
11
00
00
00
10
10
00
01
00
01
00
10
10
00
01
10
00
00
00
01
11
00
11
11
01
00
10
00
01
00
10
01
11
00
00
10
01
10
00
01
11
10
00
10
01
11
10
00
00
00
00
00
10
10
10
01
00
10
10
10
00
10
01
00
11
01
10
01
10
01
00
11
10
10
10
00
00
00
11
10
10
10
10
10
10
00
00
01
01
01
10
10
10
00
01
11
10
01
00
10
10
00
00
10
00
10
00
00
10
00
00
00
00
00
00
11
00
10
10
10
01
10
10
00
01
10
10
00
10
11
01
10
11
10
00
01
00
11
00
11
10
11
00
01
00
10
11
01
00
10
00
11
10
00
10
00
01
01
10
01
11
00
01
00
01
10
01
01
10
10
10
10
10
01
00
10
00
00
00
00
10
11
11
11
10
11
01
00
10
01
11
10
10
01
00
11
11
10
10
01
01
00
00
10
11
01
01
10
10
10
00
11
10
00
00
00
10
00
00
11
11
00
00
01
11
11
01
10
11
00
01
10
11
00
10
00
00
10
11
00
00
10
10
00
11
10
01
10
11
01
00
00
00
00
10
10
01
11
01
00
00
00
00
01
11
10
00
00
00
00
11
10
00
11
10
00
00
01
10
11
01
00
00
01
00
11
00
11
10
10
10
01
00
10
10
00
00
10
01
10
00
11
00
10
00
11
00
11
00
00
11
00
00
00
00
00
01
00
10
10
11
10
01
00
00
01
00
10
11
10
10
00
00
01
01
01
10
10
00
10
01
10
00
00
10
11
10
10
10
10
11
10
01
00
00
10
10
11
10
10
00
10
10
11
00
10
01
00
10
00
00
11
10
01
00
00
00
01
00
10
00
10
00
11
00
10
01
10
01
00
01
00
11
00
01
01
11
00
00
01
10
10
00
10
11
00
00
10
11
01
10
00
00
10
10
10
00
10
10
01
10
00
11
11
01
10
00
01
00
00
10
10
01
00
10
01
01
00
10
01
00
10
10
10
10
11
00
00
00
00
10
00
00
10
10
00
00
11
00
10
10
01
10
00
11
01
00
00
10
01
11
00
00
01
10
10
01
10
10
00
00
01
00
10
10
11
00
11
10
00
01
10
10
00
11
10
10
10
00
00
11
00
00
10
10
11
01
11
11
00
00
01
11
00
11
11
10
00
00
10
00
00
10
11
10
11
00
00
00
11
10
00
01
01
00
11
10
10
01
01
00
00
10
11
10
10
11
00
01
10
11
00
10
11
00
10
00
11
10
10
00
01
00
00
00
11
10
00
01
01
00
10
10
00
10
10
11
11
00
00
00
10
01
00
10
01
00
00
01
00
11
10
01
11
00
00
01
11
10
10
00
00
10
10
10
00
11
11
10
01
11
10
01
00
00
10
10
10
10
11
00
01
11
00
00
01
11
00
00
01
11
00
00
11
00
10
10
10
00
00
10
10
01
11
00
11
10
11
11
01
01
10
10
11
10
00
10
11
01
00
10
00
00
10
01
00
10
00
00
10
10
01
10
10
11
10
10
01
00
10
11
10
00
11
10
11
10
00
10
10
00
01
00
01
10
10
01
00
10
00
00
10
10
10
01
01
10
10
10
01
01
10
11
01
00
11
10
10
10
01
00
00
00
10
11
11
00
01
10
10
10
10
01
10
01
00
00
00
00
10
11
10
00
00
10
00
11
11
00
00
11
00
00
10
11
10
10
10
00
00
10
00
00
10
10
11
10
00
10
00
10
00
10
10
00
10
00
00
10
11
11
01
01
00
10
00
00
00
00
11
11
00
00
00
01
00
00
10
11
01
01
10
11
01
10
10
11
10
00
01
10
01
10
10
10
00
00
11
10
00
10
11
00
10
00
01
10
10
10
10
00
00
00
00
10
11
00
00
01
10
00
11
11
00
11
01
01
00
11
10
01
10
00
11
10
10
00
10
01
11
10
10
01
00
11
00
11
11
00
00
10
01
10
00
00
10
10
00
01
10
00
11
00
11
00
10
11
00
00
01
01
11
00
10
00
10
01
01
00
11
00
10
00
11
11
00
11
00
01
01
11
01
00
10
11
00
00
10
11
10
00
00
00
00
00
10
10
11
10
01
10
00
00
00
00
00
10
10
10
11
10
11
00
00
10
01
10
10
11
10
00
10
11
01
10
01
10
01
01
11
10
10
00
00
10
00
10
11
01
00
00
00
01
10
00
10
10
11
11
00
10
10
11
10
11
00
00
01
00
10
01
10
10
10
10
10
10
10
00
11
00
01
10
00
00
00
00
10
00
00
10
10
00
11
10
01
00
10
11
10
00
10
01
00
11
00
10
01
01
10
11
00
00
10
00
01
10
10
01
10
10
00
01
11
11
10
00
11
10
00
10
01
01
01
11
00
10
11
00
00
00
10
10
10
00
10
00
01
00
00
11
11
00
00
11
10
11
10
01
00
10
01
01
10
10
00
10
10
10
00
01
01
00
00
00
00
00
10
11
11
00
10
10
00
10
10
00
00
11
10
00
00
11
11
10
10
00
10
10
11
00
00
00
11
10
00
11
10
00
01
10
10
00
01
00
00
10
10
10
10
10
00
01
00
10
10
00
00
01
00
11
11
00
11
00
11
10
01
01
10
00
00
11
11
01
01
11
11
10
11
00
10
11
00
00
10
10
01
00
10
10
00
00
00
10
11
00
01
10
11
10
10
01
11
01
10
10
01
10
11
00
00
10
10
01
01
00
10
00
00
10
00
10
11
10
10
01
00
00
10
00
01
10
01
00
11
00
00
10
10
10
00
00
10
10
10
10
01
00
10
00
01
10
11
10
00
11
11
00
10
00
11
00
00
00
11
10
00
00
01
11
00
00
11
11
10
10
00
00
00
10
10
01
01
00
10
10
10
00
10
00
11
00
10
01
10
00
10
01
00
10
10
00
00
00
10
10
00
00
01
11
00
10
00
10
10
11
00
00
00
10
11
10
11
00
00
10
00
00
11
00
01
01
10
10
10
00
10
10
10
00
01
10
00
00
00
00
10
10
00
10
00
00
10
10
10
01
10
10
11
01
01
00
11
00
00
10
00
10
10
00
00
11
11
00
10
01
00
10
00
00
00
00
00
10
01
00
11
10
11
00
01
11
10
00
01
10
10
00
00
01
10
10
11
00
00
10
11
10
10
01
01
00
10
01
11
10
10
10
00
10
10
01
00
11
10
00
01
00
00
11
11
00
00
11
11
00
01
10
01
10
10
00
00
10
10
11
10
00
11
10
00
10
10
10
00
00
11
01
01
01
01
11
10
10
00
01
00
00
10
11
00
10
01
01
10
01
00
11
10
10
11
11
10
00
11
11
10
00
11
11
00
10
11
00
01
00
00
00
00
00
10
10
10
00
01
00
01
00
01
10
11
11
10
00
00
00
00
10
11
00
00
01
00
11
00
01
10
10
00
10
10
01
01
11
00
01
10
10
00
01
10
10
10
10
00
10
10
00
10
11
11
01
00
10
00
10
10
01
10
10
11
00
10
10
01
01
11
01
10
01
01
00
10
00
11
10
10
01
01
00
10
11
11
10
01
11
11
00
00
01
01
10
10
01
00
10
01
10
11
11
00
00
00
10
10
00
00
00
11
00
01
10
10
00
00
00
10
10
11
10
00
00
10
10
10
10
00
00
10
00
11
01
10
11
01
00
01
01
10
00
00
10
10
01
00
10
00
00
11
01
11
00
00
01
00
01
10
10
00
10
00
00
11
10
10
00
11
11
11
10
10
11
00
11
00
01
10
10
00
00
11
10
10
10
00
10
10
10
00
01
00
01
11
01
00
01
10
10
10
10
00
11
10
00
00
00
00
10
10
10
11
00
00
11
00
00
01
11
01
00
10
10
11
10
10
00
00
00
10
00
01
10
10
10
10
10
01
00
11
00
00
10
10
11
00
00
11
10
10
11
11
10
11
10
00
10
10
01
10
11
00
10
01
00
10
10
11
01
11
01
00
11
10
01
10
11
00
00
11
10
11
00
11
00
01
10
00
11
10
10
10
00
10
00
10
10
00
00
01
10
00
11
00
11
00
00
11
11
10
01
00
00
10
01
11
11
11
00
00
00
11
10
00
00
00
11
11
11
10
00
10
00
01
00
10
11
00
00
10
10
01
10
10
00
10
10
00
10
01
00
10
10
10
00
00
00
10
00
00
00
00
10
10
00
11
11
00
01
00
01
00
10
10
01
00
11
10
01
10
10
01
00
11
01
00
00
01
00
10
10
01
00
01
10
01
10
10
00
00
10
11
01
10
01
10
01
11
11
01
10
11
10
11
01
00
11
00
11
10
01
01
01
10
11
11
00
00
10
01
00
01
10
10
00
00
11
00
01
11
00
00
10
10
10
10
00
00
11
10
11
10
10
01
11
00
10
00
10
01
11
11
01
10
10
11
10
10
10
01
10
00
00
00
11
00
00
01
10
10
01
11
00
00
11
00
00
11
00
10
10
10
11
00
01
01
00
11
10
11
10
10
00
00
00
11
00
10
10
01
01
10
10
00
10
11
10
00
10
00
00
00
10
10
00
11
10
00
00
00
00
01
11
00
11
00
11
10
11
01
10
10
00
10
10
00
00
10
10
10
00
00
11
10
01
10
11
11
11
01
11
10
00
00
10
00
00
10
11
10
01
11
00
00
00
10
10
00
00
11
10
00
11
01
10
00
00
00
10
10
00
00
11
01
00
10
00
11
00
01
11
10
00
10
10
00
11
10
10
01
00
10
01
01
00
10
11
10
10
00
01
10
01
01
00
00
10
10
01
10
10
01
00
11
10
10
00
00
00
00
10
00
10
00
00
00
10
10
11
10
00
10
10
00
10
01
00
10
11
10
01
00
10
10
10
10
00
00
10
00
10
10
01
00
00
01
00
01
10
11
10
10
00
10
10
00
01
00
01
11
10
00
10
00
11
01
01
00
00
00
00
11
01
01
11
01
10
10
10
10
01
00
10
10
00
00
10
00
10
10
01
00
10
00
01
10
01
01
11
11
00
00
01
10
11
10
00
01
00
01
10
10
00
00
11
00
00
10
10
10
00
10
00
01
10
00
10
00
00
01
10
10
10
01
00
10
00
10
11
10
00
10
00
00
11
00
00
11
00
00
10
00
01
00
10
10
10
00
10
10
11
10
01
00
00
11
10
10
01
10
11
01
01
10
00
00
11
10
00
01
10
10
10
11
00
01
00
00
10
10
10
10
10
01
11
00
00
01
00
00
10
10
11
00
11
11
10
00
00
00
11
10
00
00
10
00
01
10
11
10
00
10
00
01
00
00
10
00
01
00
10
11
00
01
01
01
10
00
01
10
10
00
00
10
00
00
01
10
00
11
01
10
10
00
10
00
01
10
00
11
10
10
00
00
00
00
00
11
11
00
10
10
10
10
00
00
10
10
00
00
01
10
01
00
10
00
00
00
11
10
01
10
10
10
00
10
10
00
01
10
11
10
00
01
10
01
01
10
11
00
00
00
01
10
10
00
01
00
01
10
00
00
00
01
01
10
10
11
10
10
11
00
00
11
11
00
00
11
00
10
00
11
10
01
00
00
01
10
00
01
10
10
00
01
10
10
00
10
10
00
10
00
00
10
10
00
01
10
00
10
01
00
10
11
00
00
11
00
10
10
10
11
00
10
11
00
10
11
00
00
01
11
11
10
00
00
00
11
01
00
11
11
00
00
10
10
00
00
00
10
00
10
00
01
10
01
10
10
10
00
11
10
11
01
00
11
01
11
01
10
11
01
10
01
01
11
11
10
00
00
00
10
11
01
10
00
10
10
10
01
01
00
00
00
11
00
00
10
01
01
10
10
10
01
00
00
00
11
10
11
00
00
01
10
10
11
11
11
01
00
11
00
10
01
01
11
11
10
11
11
00
11
01
01
11
01
00
00
01
10
10
10
00
00
10
11
00
00
10
00
00
01
11
10
10
10
10
00
11
00
10
10
10
11
11
01
00
00
00
11
01
10
10
01
01
10
00
00
11
00
00
11
10
11
10
00
01
00
11
10
00
01
11
00
01
10
00
00
10
10
10
01
00
11
11
00
11
11
00
10
01
00
11
10
00
11
10
00
11
10
00
00
10
00
00
00
10
10
10
10
00
11
10
01
10
00
10
11
01
01
11
10
10
10
01
11
10
00
10
11
00
00
00
11
00
11
10
10
00
10
00
00
10
10
00
00
11
10
10
00
00
00
10
11
00
01
10
11
10
10
10
10
11
00
10
11
10
11
00
01
00
00
10
10
00
00
10
00
11
00
00
10
00
10
00
11
01
00
01
10
11
11
00
11
10
01
01
10
11
10
10
01
00
10
01
10
11
11
11
10
01
00
10
00
00
10
11
10
01
00
11
10
10
11
00
10
10
10
00
00
10
00
11
10
10
01
11
10
11
10
01
10
01
01
00
11
10
10
10
01
01
10
10
00
10
10
00
00
10
00
00
11
10
10
11
11
01
01
00
11
10
10
10
01
11
10
10
00
11
10
00
00
00
10
11
10
11
10
00
00
00
10
10
01
00
11
10
00
00
01
10
11
00
00
00
00
00
10
10
01
11
11
00
00
11
00
00
11
10
10
01
00
10
00
00
00
11
00
10
00
00
00
00
10
10
00
01
00
11
10
00
11
11
11
11
10
01
00
00
00
01
10
10
10
11
10
00
01
10
10
10
00
00
11
00
01
00
11
11
10
00
11
00
11
10
10
00
01
00
00
00
10
11
10
10
00
00
11
00
10
11
00
01
11
10
00
10
01
10
10
00
11
00
11
11
00
10
10
11
00
11
10
10
01
00
00
10
10
01
10
00
00
11
10
00
01
10
00
00
10
10
00
00
11
10
01
00
10
10
00
00
11
00
10
10
00
00
10
00
01
10
00
10
00
00
10
01
10
10
01
00
00
10
01
00
10
00
01
10
10
00
00
00
00
10
10
00
00
00
10
00
11
01
01
00
01
00
11
10
01
11
11
01
00
00
01
00
10
10
10
10
00
00
00
00
10
11
10
10
01
10
01
10
01
00
01
11
00
10
10
10
10
00
00
00
00
10
00
00
00
00
10
11
10
10
00
00
00
10
11
11
10
00
01
10
01
00
01
00
10
11
00
10
10
11
10
00
01
01
11
00
01
10
01
10
10
00
00
00
10
00
00
00
00
00
10
11
01
11
11
11
01
00
00
01
10
01
01
11
10
10
00
00
00
10
01
01
01
10
10
00
01
10
00
00
00
10
01
11
10
00
01
11
01
11
00
00
00
00
10
00
00
11
00
11
10
10
00
10
01
00
11
01
11
00
01
11
10
00
01
10
11
00
00
10
11
10
01
00
00
11
10
10
10
01
00
10
11
01
10
10
00
10
00
11
10
01
00
10
10
10
00
10
10
00
10
10
00
10
10
00
10
00
10
10
00
00
10
10
11
11
00
10
00
11
01
00
00
00
00
01
10
10
10
00
00
00
11
10
00
01
00
00
00
10
10
00
10
10
01
00
11
01
00
01
10
00
00
11
10
10
10
01
00
00
11
10
00
11
01
00
01
00
10
10
00
00
11
00
00
00
10
01
11
10
01
10
10
11
00
00
10
11
00
10
00
10
10
11
11
00
00
10
00
00
10
11
10
01
10
10
01
10
11
00
11
10
11
00
10
01
10
00
01
00
01
00
10
10
01
00
10
11
00
01
10
10
00
01
00
11
00
11
01
00
00
10
01
01
11
11
00
00
10
11
10
00
00
10
10
00
00
11
00
00
00
11
00
00
01
11
10
11
10
11
00
00
00
11
11
10
00
01
01
01
10
01
11
01
10
10
00
00
10
11
10
00
01
10
01
01
01
01
11
00
10
10
01
00
11
10
01
01
10
01
00
11
11
00
10
10
10
00
10
11
00
00
11
00
01
00
10
11
00
10
00
11
10
00
10
01
01
11
11
00
01
10
01
00
00
10
10
10
00
00
10
10
00
00
10
01
10
01
00
10
11
00
00
10
00
10
10
00
00
10
01
01
10
00
11
00
10
00
10
10
11
00
00
11
00
10
00
00
10
00
10
00
10
10
00
10
10
11
11
01
10
10
01
10
11
00
00
10
00
00
10
00
00
10
01
11
00
10
11
00
00
10
00
01
01
10
10
00
10
10
00
10
11
10
11
11
01
01
11
00
00
10
11
11
10
01
01
01
00
00
10
10
00
00
10
00
10
11
10
01
11
10
00
01
11
11
00
00
11
10
00
00
10
10
00
00
00
10
11
01
10
00
10
11
00
11
01
00
11
01
11
10
11
01
11
10
00
01
11
11
01
00
11
00
11
10
11
00
00
00
10
10
11
10
00
11
00
11
00
10
10
00
00
01
11
10
10
00
01
00
10
11
01
00
00
00
11
01
10
00
10
11
10
10
00
11
10
01
01
00
00
00
10
00
00
11
10
00
01
01
01
10
00
10
01
10
11
00
11
10
11
00
01
10
11
10
00
10
11
01
00
10
10
01
00
00
00
10
10
00
10
01
00
11
10
00
01
00
11
11
10
00
11
10
01
00
11
11
00
00
10
00
01
01
00
11
11
00
01
11
10
00
10
10
00
00
11
11
10
10
10
00
10
10
00
00
00
10
10
01
10
11
10
00
00
10
10
11
00
01
10
01
01
00
11
10
00
01
00
10
11
00
00
10
10
00
11
11
01
01
10
01
00
00
00
11
11
10
00
01
00
01
10
00
00
10
01
10
10
00
00
10
01
10
10
10
11
00
11
00
00
10
00
10
10
01
00
00
01
10
11
00
00
10
10
00
00
00
10
01
00
00
10
10
00
00
10
10
00
10
11
10
10
10
10
00
11
00
01
10
11
10
10
00
10
10
10
10
01
00
10
11
10
01
01
11
11
11
01
00
00
10
01
01
10
00
00
10
10
10
01
10
10
01
01
00
10
10
00
10
11
00
11
01
10
01
00
10
10
10
00
10
10
00
10
11
01
10
10
00
00
10
00
10
10
00
00
11
01
11
11
10
00
10
11
00
00
11
10
11
10
01
01
00
11
10
10
10
01
00
00
11
10
00
01
01
01
10
00
10
11
01
01
00
11
01
00
11
01
01
00
10
00
00
10
10
00
10
01
00
11
00
10
00
10
00
10
10
00
11
00
00
10
11
10
01
00
11
10
10
10
01
00
00
10
00
10
11
10
01
11
11
00
11
10
00
10
11
00
01
10
10
10
00
00
10
10
00
11
11
10
10
00
00
00
01
00
00
10
10
10
00
10
10
01
00
10
00
01
00
00
01
10
10
00
01
00
11
00
01
00
11
10
11
00
00
10
10
00
11
00
10
11
01
10
00
01
11
11
01
01
00
11
11
10
11
01
01
01
00
10
10
11
10
10
00
01
10
00
01
01
00
01
10
00
10
10
00
10
10
01
00
00
00
00
10
11
10
11
10
10
10
00
00
10
10
00
00
10
00
00
00
00
10
10
01
10
00
00
10
00
00
10
11
00
10
11
10
00
00
10
01
00
10
11
00
00
00
10
00
10
01
10
01
01
10
10
10
01
10
00
00
10
00
01
10
11
00
00
01
00
00
00
11
01
01
01
10
11
10
00
00
11
10
01
10
11
00
10
10
01
00
01
10
10
00
00
01
10
00
00
10
10
00
01
00
10
10
10
10
10
10
00
01
01
01
10
10
00
10
00
01
00
10
00
10
11
01
00
10
01
00
00
11
01
11
10
10
00
10
00
00
11
00
10
10
11
10
01
11
11
11
10
01
11
01
00
10
10
00
01
11
11
01
01
00
00
10
01
10
11
01
00
00
10
00
10
01
00
11
10
10
11
00
00
10
00
10
10
00
00
01
10
00
01
00
10
00
00
01
00
10
10
10
00
10
00
01
10
10
01
01
01
00
00
10
11
00
01
10
11
00
10
11
00
00
10
00
01
10
00
11
10
10
00
00
10
10
00
11
11
00
10
01
00
01
00
01
10
11
11
00
10
10
01
00
00
10
01
10
11
11
10
10
00
10
10
01
01
11
11
11
00
11
10
01
01
10
10
01
10
00
00
10
01
01
10
00
10
01
00
00
10
10
10
10
10
00
01
00
10
00
00
10
10
01
11
10
01
01
11
11
10
10
11
00
00
11
10
01
10
11
00
00
11
11
00
01
11
10
11
00
10
00
11
00
00
10
01
11
00
10
10
00
00
00
11
11
01
10
01
00
00
01
10
10
11
00
00
11
01
00
11
00
00
11
10
00
01
00
10
10
10
00
10
10
00
00
00
10
10
00
10
10
01
10
00
10
11
00
11
10
01
00
01
10
00
10
10
11
00
00
11
10
11
01
10
10
00
10
10
10
01
00
10
01
00
10
01
00
11
10
10
10
10
00
10
00
01
00
10
01
01
11
11
10
00
11
10
10
00
01
11
00
10
00
00
00
10
10
00
00
10
11
00
00
01
00
10
00
10
10
11
01
10
10
10
00
10
10
01
00
11
10
00
00
00
11
10
10
01
11
01
00
01
01
10
11
11
11
10
01
00
10
00
00
10
11
00
01
00
10
00
11
10
01
00
00
11
10
11
10
10
00
01
00
10
10
00
01
01
00
11
01
11
00
10
11
00
11
11
10
01
01
10
10
01
01
11
10
00
00
10
10
01
10
10
00
10
11
00
00
00
01
00
10
10
10
10
01
10
11
00
01
00
10
10
00
10
00
11
10
10
00
00
10
01
01
11
01
01
00
10
11
01
00
00
10
10
01
00
00
10
10
11
00
11
10
11
00
10
10
01
10
01
01
11
01
11
00
11
10
00
10
10
11
00
10
11
00
10
00
01
00
10
00
00
00
10
10
10
10
00
11
01
00
00
00
01
01
11
10
01
10
10
10
10
01
00
00
01
01
10
10
00
00
10
10
10
01
00
01
11
10
00
10
00
00
10
11
00
01
00
11
11
01
10
11
00
01
00
11
00
10
00
00
10
10
01
00
10
00
10
00
00
00
00
10
00
00
10
10
01
11
11
00
11
10
01
10
10
00
00
10
00
01
10
00
00
00
10
00
00
10
11
01
01
00
10
10
00
00
10
00
11
01
01
11
10
10
01
10
10
11
01
00
10
10
11
01
00
01
00
01
10
11
01
10
10
00
00
10
10
00
10
10
00
11
10
00
11
10
10
11
11
01
11
10
01
00
00
10
00
01
10
10
00
10
11
10
10
01
11
10
01
10
10
00
00
00
10
11
00
10
10
00
11
10
10
00
01
00
10
00
00
00
10
00
00
00
00
01
10
11
11
10
11
00
10
00
00
10
10
10
00
00
11
11
00
00
00
10
10
00
00
11
10
10
10
00
01
01
01
10
01
01
00
11
11
00
10
10
01
00
01
10
00
10
00
00
10
00
01
00
11
10
10
11
11
01
11
01
01
11
01
11
00
00
10
11
01
00
10
10
00
10
10
00
00
10
11
10
11
00
10
10
01
01
10
01
10
11
00
11
10
10
10
00
00
00
10
00
11
10
00
00
00
10
00
10
10
00
01
11
01
00
10
10
10
01
00
01
00
10
10
00
00
10
00
11
10
00
00
00
00
10
00
00
10
00
10
11
00
11
10
10
10
10
01
10
00
00
00
01
11
01
01
00
00
01
01
00
10
10
10
10
10
11
01
11
10
11
10
00
11
10
00
01
00
10
10
10
00
10
11
01
10
00
11
10
01
10
00
00
10
00
11
10
00
10
00
00
11
01
11
11
01
00
00
11
01
01
10
10
11
10
01
10
01
00
00
11
10
00
01
10
01
11
10
00
10
10
00
10
10
00
00
11
00
01
10
11
00
10
00
11
10
01
00
01
00
11
00
11
10
00
11
01
11
11
01
01
10
10
00
00
01
11
11
00
00
10
00
00
10
10
00
10
00
10
00
10
00
01
10
10
00
00
01
10
10
10
00
10
00
00
11
00
00
01
10
10
00
10
10
00
10
01
11
11
10
00
01
00
00
10
10
11
10
00
01
00
10
11
11
00
00
10
11
11
10
00
00
10
11
01
00
11
00
01
11
10
01
00
10
00
10
10
10
00
01
10
01
00
00
01
10
00
00
10
11
00
11
11
11
00
10
10
10
10
01
00
00
10
10
10
10
00
11
11
10
00
00
10
10
01
10
00
10
11
01
10
01
10
00
01
01
01
00
10
11
10
10
11
00
10
10
10
11
00
11
00
01
10
01
00
01
00
10
00
00
00
11
10
00
00
00
00
10
00
10
10
00
00
10
00
11
10
10
10
01
00
01
00
01
00
11
00
10
01
00
11
10
00
11
11
00
10
00
01
00
01
00
10
10
01
11
01
01
11
11
01
10
11
00
00
00
10
10
10
01
11
10
00
10
01
01
00
01
10
00
00
00
10
11
10
00
11
11
11
00
00
01
10
10
00
10
10
01
00
00
10
10
01
10
10
10
11
00
00
11
11
00
00
01
10
00
10
10
00
01
10
01
00
00
10
00
01
01
10
10
10
00
00
00
10
00
11
10
01
10
01
00
10
00
00
10
11
10
00
01
11
11
01
11
10
00
00
11
10
00
10
00
00
00
01
10
00
01
10
11
10
01
00
10
00
01
10
10
11
00
11
00
00
10
01
10
10
10
01
01
10
11
10
10
01
00
00
10
10
00
11
10
01
01
10
11
00
10
10
01
10
11
01
01
01
11
10
00
10
11
00
01
00
10
00
11
10
10
01
00
00
10
10
01
00
10
01
00
10
10
00
00
10
01
00
10
00
00
10
11
11
00
00
00
11
10
01
01
00
10
10
10
01
00
11
10
10
10
00
11
10
10
00
01
11
10
00
10
10
00
01
00
01
10
01
10
10
10
01
00
10
10
10
10
00
11
00
11
00
10
11
01
01
00
10
00
10
11
00
10
11
10
01
10
00
10
00
10
10
00
00
00
00
00
11
00
11
01
00
01
00
00
00
00
10
00
01
11
00
00
00
00
00
11
10
11
00
00
10
01
11
11
10
00
01
10
00
10
10
00
11
01
11
10
00
01
10
00
00
01
10
10
00
00
11
00
11
00
10
01
10
00
10
10
01
11
01
11
11
10
01
00
10
00
00
11
10
11
00
00
00
01
11
11
10
10
10
11
00
01
11
11
01
11
00
01
10
11
00
01
00
11
00
01
00
10
00
00
00
10
10
01
00
00
00
00
00
00
00
11
10
00
10
00
10
00
01
00
10
00
00
11
10
01
10
00
11
01
11
10
10
00
11
10
10
00
00
01
10
11
00
00
00
11
11
00
00
11
11
10
01
10
10
00
00
00
00
00
11
00
11
11
11
01
01
10
10
01
10
00
00
00
10
11
00
10
11
00
01
10
00
11
10
11
00
10
10
11
00
00
00
11
00
00
00
10
01
11
10
10
10
00
01
10
11
00
01
10
00
00
10
01
01
01
00
10
01
00
10
10
10
00
10
11
00
10
01
00
11
00
10
01
00
11
00
10
10
11
00
11
10
00
00
01
01
00
00
00
00
10
00
11
10
00
10
00
01
10
00
11
00
11
00
10
11
10
10
10
00
01
00
10
10
10
10
01
00
01
10
10
11
00
10
10
00
10
00
10
00
01
11
00
10
11
00
11
00
00
11
10
11
00
01
10
10
11
01
00
00
10
11
00
10
00
11
10
11
10
01
01
00
01
11
10
00
11
00
10
01
00
11
10
00
01
11
00
10
10
00
00
00
10
10
00
10
01
00
10
10
00
10
11
10
00
10
00
00
01
10
10
10
00
11
00
10
00
11
10
01
00
10
00
01
10
01
00
10
10
01
00
11
10
00
00
00
00
10
10
01
00
11
10
00
00
01
10
00
01
10
10
01
10
01
00
11
10
10
00
00
00
11
00
00
01
10
10
10
10
11
00
10
11
00
10
00
10
01
00
10
01
00
01
10
10
10
00
10
00
10
11
00
11
10
10
00
11
10
01
01
10
11
00
11
11
00
01
10
11
11
00
01
10
00
10
00
10
00
00
10
10
10
10
11
00
00
00
11
10
10
00
00
11
01
00
11
11
00
10
00
00
00
00
10
11
00
00
10
00
10
10
01
11
00
00
00
10
00
11
00
01
10
10
00
00
00
00
00
11
10
01
10
01
11
10
01
10
00
01
10
00
10
11
00
10
11
10
10
10
10
01
10
10
00
10
11
11
11
00
01
00
00
00
11
01
00
11
10
00
10
10
11
00
10
10
10
00
01
11
01
00
11
10
10
10
10
01
00
10
11
00
11
10
11
00
11
11
11
01
10
10
00
10
01
01
10
10
10
11
00
10
10
00
00
10
00
00
01
00
10
10
00
00
10
00
01
10
00
10
00
00
10
00
01
11
00
00
10
10
10
00
00
10
00
10
10
11
00
01
10
10
11
10
00
00
10
10
10
10
00
10
10
00
00
11
00
00
01
10
11
00
10
10
00
11
10
00
00
00
00
10
00
00
11
10
10
11
11
10
11
01
00
00
00
00
00
00
11
10
11
00
10
10
10
11
01
00
00
10
00
10
00
11
11
11
00
01
01
10
00
00
00
10
00
00
11
00
00
01
10
10
00
11
11
10
01
00
00
11
10
00
10
00
00
01
11
11
00
10
10
00
10
10
11
01
01
10
10
10
11
01
01
00
11
00
01
10
11
11
01
00
10
10
01
10
00
00
10
00
11
00
00
00
11
00
00
01
01
11
10
00
10
01
00
10
11
00
10
11
10
00
10
00
01
10
00
00
00
10
00
00
10
10
10
10
10
11
00
00
00
10
10
11
11
11
00
01
10
10
01
00
01
00
00
10
00
01
10
00
01
10
11
10
10
01
00
11
10
00
11
11
00
10
00
00
10
10
10
00
00
01
01
10
00
11
00
10
00
00
00
10
10
10
00
11
01
00
00
10
11
11
11
00
11
00
00
00
01
10
01
00
10
11
00
00
10
00
00
11
11
00
10
10
10
10
10
11
01
11
10
00
00
00
11
11
10
00
10
11
01
00
01
10
10
10
01
00
11
11
00
11
10
01
00
00
00
00
01
10
01
01
00
10
10
00
11
10
01
00
11
00
00
10
11
10
11
00
10
01
10
10
01
10
10
10
01
11
01
11
00
00
10
10
11
10
00
00
01
10
10
00
00
01
00
01
11
11
00
00
10
00
10
10
00
10
10
11
10
10
10
11
01
10
10
11
01
11
10
00
01
00
11
10
01
00
11
00
01
11
11
10
00
11
01
00
10
11
11
01
00
00
11
00
10
10
10
01
01
11
10
00
01
00
11
00
01
11
01
00
11
00
10
10
00
00
00
10
11
11
00
00
10
11
10
11
00
00
10
00
11
10
10
11
01
10
00
00
01
00
11
00
10
00
01
00
11
00
00
10
10
10
11
10
00
11
10
10
10
00
11
11
01
00
01
01
11
01
00
00
10
10
11
11
00
00
10
10
10
10
11
10
11
00
01
11
10
10
00
10
10
10
00
01
11
10
11
00
10
10
10
10
00
00
01
10
00
00
11
10
10
00
00
00
10
10
10
11
00
11
11
10
00
01
01
10
10
01
11
01
00
00
10
01
00
10
11
01
10
00
00
10
11
00
11
11
01
01
11
01
00
10
00
11
10
10
00
01
00
00
00
10
00
01
01
00
00
10
00
10
00
01
10
10
01
10
11
01
01
10
10
11
10
01
01
10
10
10
10
11
11
00
11
11
00
01
10
01
00
10
00
01
00
10
10
00
10
00
10
11
00
11
00
10
11
00
10
00
00
10
11
01
01
10
11
00
01
11
01
10
10
00
10
00
00
10
10
00
01
00
10
11
10
10
01
01
01
00
00
10
10
11
01
11
10
00
00
00
00
10
10
00
11
00
10
11
00
11
10
11
00
11
00
11
10
00
11
10
01
00
00
10
00
01
00
00
10
10
01
10
10
10
00
01
00
00
11
10
00
10
00
11
10
11
11
10
10
10
00
01
01
11
01
10
11
11
10
00
00
11
10
11
00
10
01
10
01
00
01
01
01
10
10
01
10
10
00
10
10
10
01
10
10
01
00
00
10
11
10
11
01
10
01
01
11
11
10
00
00
10
11
10
10
10
10
00
00
10
11
11
10
01
00
10
00
00
01
10
01
11
10
01
11
01
10
00
00
01
10
10
10
10
00
00
01
10
10
10
10
10
01
00
10
01
00
01
10
00
00
00
11
01
10
10
00
01
10
01
11
10
01
10
10
00
10
11
00
00
10
00
01
11
00
01
10
00
01
11
11
00
10
11
00
01
00
11
10
11
01
00
10
00
11
10
10
00
11
10
11
00
10
00
00
10
00
01
10
00
10
00
00
01
11
01
10
00
11
10
11
10
10
01
00
00
11
11
00
00
10
00
11
10
10
01
10
11
11
10
00
00
10
01
01
10
11
11
00
00
10
00
00
00
10
10
01
01
10
01
00
11
01
10
10
10
01
00
10
10
00
01
00
00
10
11
00
01
10
10
10
10
01
00
10
10
11
00
10
10
01
00
10
10
01
00
11
10
00
11
11
01
01
10
10
01
01
10
10
01
00
10
11
10
00
00
00
10
11
11
10
00
10
00
00
10
10
00
10
10
11
00
01
10
01
00
00
10
00
01
11
01
01
11
11
00
10
00
11
00
00
10
10
10
00
00
00
11
00
10
01
01
00
10
01
00
00
00
10
11
00
00
10
10
11
00
10
00
01
00
00
00
11
11
00
11
00
10
00
00
00
11
11
01
10
00
11
10
11
11
10
11
00
11
00
00
10
00
10
10
10
00
00
01
10
10
00
10
00
11
10
00
10
01
00
10
00
00
10
00
00
00
10
00
01
10
01
01
10
11
01
00
10
10
00
10
11
00
10
01
01
11
00
10
10
01
11
10
00
11
00
01
01
10
01
10
10
10
00
10
10
01
00
10
10
11
00
10
11
10
10
00
01
10
01
00
00
11
10
01
01
00
00
00
01
00
00
10
00
10
00
00
11
01
00
10
11
00
11
00
11
11
00
00
10
11
00
00
10
00
10
01
01
10
00
00
10
00
11
00
00
11
00
01
00
00
10
10
00
00
10
10
01
01
00
01
00
01
10
11
00
11
10
00
10
11
10
00
00
10
00
10
10
00
10
11
10
10
01
00
10
00
10
10
00
00
10
00
11
00
11
10
00
00
11
10
10
10
00
10
00
01
01
11
11
10
10
10
11
00
10
01
01
10
10
00
00
10
00
11
11
01
10
10
01
01
10
00
00
10
00
10
10
10
01
00
10
10
10
11
00
01
00
11
00
00
01
11
00
11
10
01
01
00
00
00
01
10
10
01
10
10
00
01
10
01
00
10
00
01
00
11
10
10
11
00
00
01
01
10
00
10
11
10
11
10
00
10
10
11
10
00
00
00
11
00
01
11
01
10
10
01
00
10
10
00
10
10
00
10
00
00
00
10
11
10
01
00
01
00
00
10
10
10
01
10
10
11
01
00
00
11
11
10
10
00
10
10
00
00
01
10
10
00
01
00
11
00
10
10
00
01
10
01
11
10
10
10
01
00
00
10
10
10
00
00
10
01
10
01
11
11
10
00
00
10
11
11
00
10
10
00
00
10
11
10
01
11
10
10
11
10
01
01
11
01
01
00
01
01
00
11
10
10
00
01
10
01
10
00
11
01
01
10
01
00
10
00
10
10
01
01
10
01
00
00
00
10
10
01
01
10
01
00
10
10
10
11
10
00
10
01
00
10
00
00
00
00
11
00
00
01
01
10
11
00
01
00
11
11
11
11
00
00
01
00
10
00
01
10
10
00
10
10
10
10
00
01
10
00
10
01
10
01
00
11
00
01
00
00
00
00
01
11
11
10
11
00
00
01
10
01
11
00
00
00
11
00
00
10
10
01
00
00
00
01
10
10
10
00
01
10
10
00
00
11
01
01
11
00
11
10
01
00
10
11
01
10
00
10
01
10
10
00
01
01
01
01
10
10
10
10
01
00
11
10
10
01
11
00
00
10
11
00
01
00
10
01
10
11
00
01
00
01
01
10
10
00
10
00
00
10
11
00
00
10
00
11
10
00
01
10
00
10
10
11
10
10
10
10
10
11
00
01
10
10
00
00
00
10
10
10
11
00
10
10
10
10
00
10
10
10
00
11
10
01
01
00
10
00
11
10
11
00
10
01
01
10
10
10
00
01
01
00
01
11
00
10
00
11
00
01
10
00
00
10
11
11
00
01
00
10
00
11
11
10
00
01
00
01
00
10
10
00
00
00
10
10
10
00
10
11
01
10
10
11
00
10
00
01
00
01
10
10
01
00
00
10
10
10
10
00
00
01
00
01
11
10
01
10
00
11
00
00
00
00
11
00
00
10
00
00
00
10
11
01
01
11
11
01
00
11
00
01
11
11
01
00
01
10
10
01
00
11
10
00
10
10
11
00
10
10
01
00
10
10
00
00
00
10
10
01
10
00
00
00
00
11
10
00
10
01
00
00
11
00
00
01
10
11
11
00
10
10
00
00
00
11
10
01
01
10
10
10
00
10
00
01
01
10
10
00
01
00
01
10
01
10
00
10
10
00
00
10
00
11
00
01
01
10
01
10
10
11
11
01
11
10
00
10
10
11
10
00
01
01
10
00
10
10
01
11
00
00
10
11
00
00
10
10
10
10
10
00
11
00
01
01
10
11
00
10
00
00
10
11
10
00
10
01
00
10
00
00
00
10
00
00
10
10
00
11
11
11
00
01
00
01
10
01
01
10
10
00
10
10
10
11
01
10
00
01
01
10
00
01
11
10
10
01
00
10
00
10
10
10
10
10
00
01
10
11
10
01
01
11
00
00
10
11
10
00
10
01
10
10
00
00
10
01
00
11
10
00
00
00
10
10
11
10
10
11
11
00
01
00
11
01
00
00
11
01
00
00
10
11
00
00
01
10
10
10
00
10
00
10
11
01
10
10
01
01
11
11
10
00
00
00
00
11
10
11
00
01
00
10
11
10
01
01
00
00
01
10
00
10
11
00
11
10
10
00
01
10
00
11
11
00
00
00
00
00
10
10
00
00
10
11
00
10
11
10
10
10
11
00
11
11
01
11
10
00
01
10
00
10
10
10
01
00
11
00
00
01
10
11
00
00
11
10
01
11
00
01
10
11
00
00
11
10
10
00
10
10
00
00
01
00
00
01
00
11
00
10
11
11
00
00
10
00
01
00
10
10
10
01
00
10
00
11
11
00
01
11
10
00
01
10
11
00
00
10
10
11
01
00
10
00
11
00
11
10
11
01
11
00
00
10
11
00
00
10
00
10
11
00
00
10
10
00
10
01
10
00
00
00
10
00
00
11
11
01
11
10
11
01
01
00
10
11
01
11
10
01
01
11
00
10
10
11
10
01
10
11
00
00
10
10
11
10
10
00
10
11
01
10
00
10
10
10
11
00
01
11
00
01
11
00
01
01
10
01
00
10
00
00
00
11
10
00
01
10
10
10
00
01
00
00
11
11
00
00
10
10
01
01
11
01
10
00
10
10
00
10
11
00
01
10
00
11
10
10
00
01
10
10
00
00
10
10
11
00
00
00
11
10
10
11
00
01
10
11
10
00
00
00
10
11
00
00
01
10
10
11
00
11
11
00
11
00
00
10
00
00
01
11
00
00
00
11
11
00
11
00
01
11
00
10
10
10
00
10
10
10
00
10
10
00
00
11
11
00
10
11
11
01
01
10
10
00
00
01
00
10
10
00
01
00
10
00
00
00
10
11
00
11
01
10
10
00
00
00
11
10
00
10
00
10
00
10
00
00
00
00
01
01
11
01
00
10
01
01
11
11
00
01
11
11
10
10
00
01
11
11
10
01
01
00
01
11
10
11
00
01
10
11
11
00
01
10
01
01
00
11
10
00
10
10
00
10
00
00
00
11
10
11
00
11
10
00
00
11
00
11
10
00
00
11
10
01
01
10
01
11
11
11
00
00
10
00
00
10
11
10
00
01
11
10
10
01
00
00
10
10
01
00
11
01
00
11
11
00
00
01
10
10
00
11
10
10
00
00
00
01
10
01
01
00
11
10
01
11
11
00
00
00
10
00
00
10
11
10
11
10
11
00
10
10
00
00
10
00
10
10
00
11
10
00
01
00
10
00
11
00
00
01
11
01
00
10
01
10
00
00
11
10
01
00
00
00
00
10
10
10
10
10
00
11
10
00
10
01
10
01
10
00
11
10
01
11
01
01
11
10
10
11
01
01
10
11
00
11
00
10
11
01
10
00
00
11
00
11
10
01
00
10
00
00
10
10
00
00
01
10
10
10
10
00
01
00
01
10
10
10
10
00
00
00
11
11
00
00
00
10
10
11
00
01
00
10
11
10
10
01
10
10
11
10
00
01
00
10
00
10
10
10
00
00
11
11
11
11
00
10
11
11
10
00
00
11
10
00
01
01
10
00
11
10
00
00
11
00
10
00
00
00
00
10
10
10
00
10
00
10
10
00
00
01
10
10
10
00
00
01
11
10
00
01
00
10
01
00
10
00
11
11
11
00
00
01
00
01
10
10
01
01
10
00
10
10
00
10
10
00
10
00
01
11
00
00
00
00
10
00
10
10
11
01
10
11
10
11
00
10
10
00
01
11
00
00
10
11
00
01
00
00
10
11
10
00
01
11
10
10
00
00
00
10
00
10
00
10
10
11
00
00
10
11
11
10
01
00
10
11
10
00
00
01
00
10
01
10
10
01
00
10
11
11
00
00
01
00
01
10
11
00
10
00
00
00
01
11
10
10
00
10
11
00
10
01
11
00
10
10
00
11
00
01
10
10
10
10
00
00
01
10
00
00
10
00
11
00
00
01
10
10
10
11
10
01
00
00
00
01
00
00
00
10
00
00
10
11
10
11
01
00
01
10
01
01
10
01
00
10
10
11
00
10
01
01
01
10
00
11
10
10
10
10
01
10
10
01
00
00
00
10
11
00
00
11
00
01
10
00
10
00
00
00
00
11
11
10
00
00
10
00
01
11
11
01
00
01
00
00
11
11
01
00
11
01
10
01
00
00
10
01
00
00
01
10
10
00
01
10
01
00
00
10
00
10
10
10
00
00
00
11
11
10
01
00
10
10
00
10
00
00
11
01
11
10
10
10
11
10
10
10
01
00
00
00
10
00
00
11
00
01
10
00
11
10
10
11
00
01
00
00
11
10
10
00
11
11
10
01
00
10
01
11
11
00
00
11
00
10
00
00
11
01
00
10
00
11
10
00
01
10
11
11
00
10
11
10
00
00
01
01
10
11
01
00
00
01
00
10
00
01
10
01
11
00
10
11
11
10
00
00
10
01
10
10
00
00
00
10
10
00
11
11
00
01
01
01
10
10
10
00
10
10
01
10
00
00
00
10
10
10
00
00
11
01
10
01
00
10
11
01
10
11
10
01
10
00
00
10
10
00
01
01
10
10
10
10
10
11
00
00
11
11
00
00
00
10
00
00
11
01
11
01
01
01
11
10
10
10
00
10
11
00
01
01
00
10
10
00
01
01
10
11
11
00
01
10
11
00
00
10
00
00
10
00
01
00
00
01
00
10
10
10
10
11
10
00
11
10
11
10
10
10
01
00
11
11
00
00
11
10
10
10
00
11
10
10
00
00
10
10
10
01
00
11
01
00
10
01
01
10
10
00
00
10
10
00
00
11
01
11
01
00
10
01
11
01
00
10
10
11
00
11
10
00
00
10
01
01
10
10
11
10
01
10
10
11
10
00
01
10
10
01
00
00
10
00
00
01
00
10
11
01
10
10
10
10
00
01
11
00
00
01
10
11
10
00
11
01
11
00
10
10
00
10
01
01
01
11
01
00
00
11
10
01
01
11
10
00
10
10
00
00
10
11
00
00
10
00
10
10
00
00
10
11
00
01
01
10
01
00
10
10
11
00
11
10
00
10
00
10
00
00
10
10
10
00
01
10
11
00
11
00
10
00
01
11
01
10
10
00
10
00
01
10
10
11
01
10
00
00
10
00
11
00
11
00
11
00
10
00
10
10
00
11
10
10
00
01
10
00
11
10
11
01
10
01
10
10
00
01
11
00
11
10
10
01
00
01
01
00
10
10
11
00
00
00
00
10
10
10
01
01
00
11
10
11
00
11
10
00
00
11
00
00
01
10
01
00
10
10
10
10
00
00
00
10
10
00
01
10
11
00
11
01
01
01
11
11
00
00
01
11
10
01
01
00
11
11
10
11
11
01
00
00
01
11
11
00
11
10
01
11
10
00
00
00
10
10
00
11
00
10
10
00
00
00
11
00
00
10
01
01
00
00
11
10
11
10
00
10
10
00
00
11
11
10
00
10
11
00
11
00
10
01
00
11
10
00
10
10
10
00
01
00
11
10
01
10
11
00
00
10
00
00
11
10
01
00
10
01
00
10
00
00
10
11
11
01
10
01
00
01
01
10
11
00
01
10
10
01
11
10
10
10
01
00
10
11
00
10
11
10
00
00
10
01
10
10
00
10
10
10
00
00
10
10
01
00
00
10
11
00
10
11
00
00
10
11
00
01
10
11
00
00
01
11
00
00
10
11
00
00
10
11
10
11
10
10
00
01
11
10
11
01
00
00
00
10
11
00
10
00
00
00
11
01
10
11
00
10
00
00
01
01
10
10
01
00
11
00
01
10
10
10
00
01
10
00
10
00
11
00
00
10
01
11
11
01
01
10
11
10
11
00
00
10
11
11
00
10
10
10
00
00
10
01
00
10
00
01
10
01
11
10
00
00
10
01
00
11
01
00
10
00
01
11
00
01
11
01
01
00
11
10
00
00
00
10
10
00
00
01
01
10
11
01
00
11
10
00
00
00
10
10
01
00
00
10
10
00
00
10
10
10
00
10
11
00
00
01
00
11
10
10
00
10
10
01
10
11
10
00
01
00
00
00
00
11
10
00
11
10
01
00
00
00
00
10
01
11
10
10
01
10
01
00
01
10
01
00
00
00
10
01
11
10
00
10
11
00
10
10
00
10
00
10
10
00
10
10
10
00
01
00
01
00
00
10
00
01
01
01
10
10
00
10
10
00
11
11
10
10
00
10
10
10
00
10
00
00
10
10
00
10
10
10
00
10
10
00
01
10
10
10
00
00
10
10
00
11
10
00
10
00
10
10
10
10
10
01
10
10
00
01
10
00
00
11
00
01
11
10
11
01
01
11
11
01
11
00
10
01
00
11
10
11
11
10
00
00
00
10
10
00
00
11
11
01
01
11
11
10
10
01
10
10
01
01
11
10
00
00
11
10
10
10
10
10
10
00
01
10
01
00
10
10
00
00
10
10
11
10
01
01
10
11
01
00
11
11
01
00
00
11
00
00
10
10
00
00
00
00
10
10
01
00
11
00
01
00
00
00
10
00
00
11
00
10
00
11
10
11
01
01
10
10
00
01
11
11
00
01
00
01
00
00
10
11
00
00
01
10
11
10
00
00
10
10
11
00
01
10
10
01
00
10
11
11
00
01
00
10
10
00
01
10
10
01
00
10
10
00
00
10
00
10
01
10
00
00
01
00
00
00
11
11
00
10
10
10
01
00
00
00
01
00
10
11
00
00
10
10
11
00
10
00
10
00
10
10
10
00
00
10
00
00
01
11
10
01
11
11
00
01
10
11
11
01
10
11
00
00
10
10
00
00
00
11
11
00
10
00
11
10
10
00
10
10
11
01
00
00
00
00
11
10
00
00
00
10
11
01
00
10
10
00
10
00
10
00
11
01
01
10
00
10
01
00
00
01
10
01
10
00
10
11
10
10
00
00
10
11
11
01
11
10
00
10
10
00
11
00
01
10
11
11
00
00
11
11
00
10
10
00
00
10
11
10
01
11
10
11
01
11
10
11
00
01
10
10
01
11
01
01
11
00
00
10
10
00
10
10
00
11
10
00
10
10
11
00
10
10
10
11
01
00
10
00
01
10
11
00
10
00
10
10
00
00
11
11
11
00
10
00
10
00
10
00
11
10
00
01
11
11
00
01
10
11
10
01
10
00
10
10
00
01
00
11
10
10
10
11
00
00
01
00
10
00
10
11
10
00
01
10
10
00
11
00
00
11
10
11
10
11
01
10
00
10
00
00
01
10
10
01
00
10
00
10
10
10
00
00
10
00
00
00
11
00
11
01
10
11
01
01
10
00
11
01
01
00
10
10
11
10
10
00
10
11
10
10
01
00
00
10
10
11
00
00
10
10
00
10
00
10
01
01
10
01
00
00
00
11
00
00
01
10
00
00
10
11
00
11
00
00
10
10
11
01
00
10
10
00
00
10
11
10
11
10
00
01
11
00
00
11
11
01
00
00
00
00
10
01
10
10
00
10
10
10
10
11
00
11
10
00
10
11
00
00
00
00
00
00
11
11
01
00
11
00
11
00
00
11
00
10
11
10
10
01
00
00
10
00
00
00
10
11
00
11
11
00
10
10
10
00
10
10
00
11
11
10
10
01
10
00
00
00
00
11
10
10
10
11
01
00
11
00
11
10
00
10
10
00
00
01
10
10
00
10
11
01
10
00
11
00
10
00
01
10
00
11
00
01
10
10
01
00
11
10
01
00
11
10
00
00
10
10
01
00
10
11
00
10
10
10
00
00
10
01
11
00
01
10
11
00
01
11
01
00
10
10
00
00
11
00
00
10
00
10
11
00
00
10
10
01
10
11
00
00
10
00
11
00
00
10
00
01
11
11
00
01
10
00
01
10
00
00
00
11
10
11
00
00
11
00
00
10
11
01
00
00
00
11
10
10
01
11
10
00
00
01
00
11
10
10
00
10
11
01
00
11
10
01
10
00
00
10
10
11
01
00
00
00
11
10
10
00
01
00
10
00
10
10
11
00
00
01
00
00
00
01
11
10
10
01
10
11
00
10
00
00
00
00
11
00
10
01
00
01
00
10
10
10
11
01
10
10
00
01
10
10
11
00
01
00
10
10
00
01
10
01
01
00
10
00
10
11
01
00
00
10
10
00
01
00
10
11
10
11
10
10
00
10
00
00
10
11
10
11
11
11
00
10
10
11
10
00
00
10
10
00
10
11
10
10
00
01
01
01
00
10
00
00
01
10
11
00
10
00
01
10
00
01
10
11
10
01
00
01
01
11
00
00
11
10
00
01
11
10
01
10
01
00
00
11
10
01
00
10
10
10
00
11
11
01
00
00
00
01
11
10
11
01
10
10
11
00
11
10
10
10
00
10
00
10
10
00
10
10
10
01
00
00
01
10
10
00
00
10
00
00
00
10
10
10
01
01
00
10
10
00
10
11
01
10
10
10
10
11
11
00
00
10
01
10
00
00
01
11
00
10
11
01
10
01
11
01
11
00
11
00
00
10
00
00
10
10
00
00
11
10
01
10
11
01
00
10
10
11
00
00
00
10
00
00
00
01
01
11
00
00
11
11
00
00
10
01
11
11
00
10
01
01
01
11
01
00
10
11
10
11
00
10
00
01
11
10
10
00
00
10
00
00
00
10
10
00
11
10
00
10
00
10
00
00
00
10
10
00
00
11
01
11
10
10
00
11
10
10
10
00
01
11
00
00
11
11
11
10
00
00
10
10
10
00
00
01
00
00
11
00
11
10
10
10
10
01
01
00
10
10
10
10
10
00
10
10
00
00
10
10
00
00
11
10
00
10
11
11
10
11
10
00
10
10
10
01
01
00
01
10
10
10
00
10
00
00
01
10
11
10
01
11
11
00
10
01
00
01
11
00
01
11
01
10
10
00
10
00
10
00
00
11
10
01
01
11
10
10
11
00
11
11
11
11
11
00
00
00
10
00
00
10
00
00
01
10
00
11
00
10
11
10
00
01
10
01
00
01
10
10
00
11
10
01
11
10
01
10
01
11
01
01
11
00
00
00
10
01
10
11
00
11
00
10
01
00
11
10
00
01
00
01
10
10
10
01
10
10
01
10
00
11
11
00
11
11
01
11
01
00
10
11
10
11
00
00
00
10
10
00
10
10
00
00
11
01
10
00
10
01
10
11
00
11
00
01
10
10
10
00
10
11
00
01
00
01
11
10
10
00
00
10
00
01
10
10
10
11
11
10
11
10
10
10
00
00
00
10
11
00
10
11
00
00
11
00
00
00
01
01
10
00
11
00
00
00
01
01
00
10
10
10
11
10
10
10
00
00
01
00
10
10
01
00
10
01
10
00
00
00
10
00
00
11
01
01
11
00
10
01
00
10
10
10
00
00
10
10
01
10
01
01
11
10
10
00
11
00
01
11
10
01
01
10
11
11
00
10
11
01
11
11
10
10
11
01
00
10
10
00
01
00
00
10
00
00
10
01
00
10
10
00
10
11
00
00
00
10
10
10
00
00
00
10
00
10
10
10
10
10
11
10
00
01
10
10
00
01
10
10
00
01
10
00
00
11
11
10
01
00
00
00
11
10
01
10
01
01
10
00
10
10
01
00
10
01
10
10
00
01
11
11
00
00
10
11
00
00
11
11
11
11
00
00
00
10
00
00
10
11
10
01
00
01
10
11
00
11
01
00
10
11
11
01
10
10
00
01
01
10
00
01
01
10
00
10
00
11
00
00
11
10
11
01
11
00
00
11
11
01
00
10
11
00
10
10
11
01
10
10
01
00
10
00
00
11
01
10
10
10
00
00
00
01
00
11
10
11
00
00
01
00
10
10
01
10
10
00
10
11
01
01
10
10
01
00
11
10
00
00
01
00
10
00
01
00
10
00
00
00
00
00
10
00
10
01
11
10
00
00
10
11
10
01
00
10
00
00
00
10
00
00
11
10
11
00
10
00
00
11
00
00
10
01
10
11
00
11
11
00
00
11
00
00
10
11
10
10
10
11
11
01
00
01
11
11
11
01
11
11
10
00
00
10
00
00
10
00
11
01
10
10
00
10
11
10
11
00
10
10
00
10
00
00
11
01
00
10
10
00
11
10
00
11
10
10
01
00
10
10
00
10
10
01
00
10
00
10
01
00
00
01
10
11
00
10
00
10
10
10
00
00
10
00
11
00
01
10
00
01
01
00
10
00
00
11
00
11
10
00
00
10
10
01
10
10
10
11
10
10
01
10
10
11
10
00
11
00
00
10
00
11
10
01
00
00
10
11
00
10
11
00
00
10
01
10
11
00
11
11
11
00
01
00
11
10
00
11
10
00
10
01
01
00
00
11
00
10
00
01
00
00
10
10
10
00
01
11
10
01
10
01
00
01
11
00
00
11
00
00
00
11
01
00
00
00
00
10
10
11
11
10
10
10
00
01
11
10
00
01
01
10
10
10
10
01
01
10
00
10
10
10
00
00
00
10
10
00
10
11
01
01
00
11
00
00
10
10
00
11
00
00
11
00
00
11
00
10
10
10
00
10
00
00
00
10
00
00
01
01
00
10
00
00
10
00
00
10
11
01
11
10
00
00
01
11
11
00
10
00
00
10
10
00
10
01
10
11
00
00
00
11
11
01
01
00
00
10
11
10
11
00
01
10
00
10
00
01
10
00
01
11
00
10
10
01
01
11
10
11
00
11
01
00
11
11
00
00
00
10
10
00
00
01
10
10
00
10
00
00
01
01
11
10
10
11
00
00
11
01
00
10
10
00
00
00
01
01
00
11
00
10
10
10
10
10
10
00
10
00
11
00
10
10
11
10
10
00
01
10
10
10
00
00
10
00
10
10
01
10
00
10
10
10
10
10
01
00
10
00
01
00
00
11
11
00
00
01
00
11
00
10
10
00
00
10
10
00
00
00
01
01
10
00
10
00
10
11
01
10
11
01
00
01
01
00
00
10
10
01
01
10
10
00
11
10
10
01
00
10
01
10
10
11
00
00
10
11
01
11
10
00
10
10
11
01
01
10
10
00
00
00
10
11
00
00
10
10
00
00
10
11
11
00
00
10
10
10
00
10
11
10
00
01
01
00
10
00
10
11
11
01
00
10
10
10
11
10
00
00
01
00
11
10
10
10
10
00
10
00
01
11
01
10
01
10
01
00
11
10
00
10
10
01
00
10
00
10
00
10
10
00
11
11
10
01
10
00
11
00
01
10
10
01
11
00
10
11
00
01
00
10
00
01
00
10
11
00
10
00
00
01
01
10
11
00
11
01
00
00
10
00
00
11
10
01
10
10
00
00
01
01
01
10
00
10
10
11
00
00
10
11
00
01
00
11
11
10
00
11
00
00
10
11
01
10
00
00
01
11
10
00
10
10
11
00
01
11
01
11
00
10
10
10
01
00
01
10
11
01
00
00
10
10
00
00
10
10
10
11
01
01
00
00
10
10
00
00
00
11
00
00
00
00
11
10
00
01
00
11
01
00
10
00
00
10
10
00
00
10
11
11
00
11
10
10
00
11
01
11
00
00
11
10
01
00
01
10
00
11
10
00
00
10
00
10
11
00
00
10
10
10
00
00
00
11
00
00
11
10
11
10
00
10
00
00
11
11
00
10
10
01
00
01
10
11
00
11
10
10
00
00
00
10
01
11
11
01
00
11
00
00
11
00
00
11
00
00
11
00
10
10
01
01
00
00
00
10
00
00
10
11
00
11
10
10
00
01
11
11
01
00
10
10
10
00
00
10
10
00
01
11
01
11
01
00
00
10
01
10
10
00
00
10
10
00
00
00
10
11
11
01
00
10
00
00
00
01
00
01
01
01
10
10
10
10
11
00
10
10
10
10
01
11
00
01
01
10
10
00
00
11
10
10
10
10
11
00
10
01
00
11
11
00
10
11
00
00
01
10
00
10
10
10
00
10
01
11
10
10
00
01
01
11
11
00
01
01
10
10
11
11
00
01
11
11
10
10
00
01
10
11
10
11
00
01
10
00
00
10
00
00
00
11
10
00
01
00
00
00
10
01
10
01
10
00
01
10
00
00
10
11
10
00
11
10
10
00
11
00
10
01
01
10
00
11
00
11
10
11
10
10
10
01
01
00
10
00
01
01
01
11
10
01
10
10
10
10
00
00
01
11
11
10
11
01
00
00
10
10
00
10
10
00
00
00
01
11
01
11
11
01
10
10
00
00
10
11
11
11
00
01
11
01
00
11
00
00
01
00
10
10
10
10
00
00
00
10
11
10
10
11
11
00
10
00
00
00
10
01
01
10
10
00
00
10
10
00
00
00
00
00
10
11
10
10
00
00
10
10
11
11
10
01
11
11
00
01
11
10
11
11
00
00
00
00
10
00
11
01
10
00
01
10
10
10
00
00
10
11
00
00
11
10
11
11
01
11
10
10
00
00
11
01
00
10
00
00
00
01
10
10
01
01
01
10
11
01
00
10
10
10
00
11
10
00
10
10
00
10
10
10
10
01
10
10
00
01
11
11
00
00
00
10
10
00
11
11
00
10
00
10
00
00
01
10
00
00
00
10
00
10
10
10
00
10
10
00
00
10
10
01
00
00
10
11
00
00
01
00
10
10
00
10
00
00
00
00
11
10
10
00
01
11
11
00
10
01
00
00
10
00
00
10
00
11
00
00
10
11
11
11
11
01
00
01
10
10
00
00
10
01
11
11
10
01
01
11
01
10
11
11
00
01
10
01
11
00
01
11
10
11
10
00
10
11
01
01
10
11
10
10
10
01
01
10
01
00
11
10
10
10
11
10
00
10
00
00
11
10
11
10
10
01
10
10
11
10
01
10
01
00
11
00
01
01
10
10
11
10
01
10
00
01
00
00
11
11
00
10
10
10
11
00
10
01
10
00
10
10
00
10
01
00
00
11
00
10
00
10
10
00
10
01
10
00
00
11
11
10
11
10
10
10
10
00
00
10
10
00
00
00
01
00
11
10
00
00
10
11
11
00
00
10
10
01
10
10
00
10
10
10
00
11
00
00
11
10
10
11
11
10
00
00
10
01
01
10
00
10
10
10
00
10
01
10
00
00
00
00
10
00
01
10
00
01
10
10
10
01
11
10
11
10
10
00
00
10
11
00
00
00
00
10
10
00
11
00
01
00
10
00
00
01
10
10
00
10
10
00
00
00
10
10
10
01
00
10
00
11
00
00
00
00
00
00
00
10
00
00
10
10
10
00
00
11
10
10
10
01
10
10
01
11
10
11
01
00
00
10
10
00
00
11
10
11
11
10
00
10
11
01
00
10
10
10
01
10
00
01
00
00
10
10
00
00
00
10
00
10
11
11
10
11
10
11
01
11
10
00
00
11
00
01
10
11
10
00
10
11
11
01
00
11
10
00
01
10
00
10
10
01
10
00
11
00
00
10
00
10
11
10
00
01
11
11
00
00
10
10
11
00
01
00
10
10
00
00
11
10
00
11
10
00
11
10
11
00
10
10
10
01
10
01
11
11
00
10
00
00
00
10
00
01
01
01
00
10
01
01
11
11
10
00
11
00
01
01
10
11
11
01
01
01
11
10
11
01
00
10
10
00
11
10
11
00
01
10
00
10
00
00
10
10
11
10
00
00
00
00
10
10
10
10
00
10
01
00
00
10
10
00
00
01
10
10
00
10
10
01
10
00
00
10
11
00
11
00
00
10
00
10
00
01
10
10
00
11
10
01
11
10
01
10
00
10
00
00
10
10
01
10
00
10
00
10
00
10
10
00
00
01
00
00
10
01
10
01
10
00
01
10
01
00
10
10
01
01
10
01
10
10
10
00
01
10
01
00
10
00
00
00
11
00
01
10
10
00
00
00
00
11
10
01
11
10
10
10
10
00
10
00
10
00
00
11
01
00
01
01
10
11
00
00
10
10
10
00
01
11
10
01
01
01
10
11
10
00
10
11
00
00
10
01
10
10
00
01
00
10
11
10
00
00
00
10
10
00
10
00
11
11
11
00
00
10
01
01
00
10
00
01
11
11
01
01
10
01
10
11
11
00
00
00
00
10
11
10
10
01
11
00
11
10
00
10
00
00
11
11
11
10
10
10
01
10
10
00
01
10
01
10
00
10
10
00
10
10
00
00
11
10
10
10
01
11
11
10
00
10
11
11
11
00
00
10
11
10
01
11
10
10
01
00
00
01
10
00
00
00
10
11
00
11
00
00
11
11
01
10
10
00
10
01
00
00
10
10
10
00
00
10
01
00
11
00
00
10
01
00
11
00
00
01
01
10
10
01
10
10
01
01
10
11
00
10
00
01
01
01
10
11
10
11
00
10
00
00
10
10
10
10
11
01
00
10
10
11
00
01
10
10
11
11
00
00
01
11
10
11
11
00
11
01
01
10
10
00
10
10
00
00
10
00
00
10
01
00
11
10
01
00
00
00
00
00
01
10
10
10
10
10
00
10
10
01
00
00
11
00
01
10
00
10
11
00
01
10
10
10
10
00
10
01
00
10
11
10
10
00
00
11
10
00
00
10
10
00
01
10
10
10
00
01
10
11
00
11
00
01
00
00
01
10
00
01
01
10
01
11
10
11
00
01
11
10
01
00
00
11
01
00
11
10
00
00
10
11
00
00
10
01
00
01
10
00
00
11
10
10
10
00
11
01
00
00
00
10
00
10
00
00
10
01
10
00
10
00
10
00
11
10
11
11
00
01
11
01
00
01
10
10
10
10
01
00
10
10
01
00
10
10
11
00
01
00
11
01
00
10
11
11
10
00
01
10
11
00
00
00
10
10
10
11
00
11
00
10
01
10
00
11
10
00
01
11
11
10
01
10
00
00
00
10
00
00
11
00
10
00
10
11
10
10
10
10
00
10
00
00
01
11
10
10
01
01
10
00
00
10
10
10
10
01
10
10
00
01
10
01
01
10
10
01
11
10
00
00
10
00
10
11
00
00
01
11
10
00
00
11
01
01
11
00
11
11
11
00
00
01
10
11
00
10
10
00
10
10
00
01
00
01
00
01
10
01
11
00
11
00
00
11
11
00
10
11
00
11
01
10
00
00
10
00
10
00
10
00
10
11
11
00
01
11
10
00
00
01
10
10
11
10
01
01
10
10
00
00
00
11
10
01
10
11
00
11
00
01
10
10
01
10
00
10
00
00
10
10
00
10
10
00
00
00
10
01
00
01
11
00
11
00
10
01
10
10
10
10
00
00
10
00
00
11
10
00
10
10
10
00
10
10
00
01
10
00
11
01
00
00
10
00
11
10
10
10
01
10
00
10
00
00
10
00
01
00
00
10
10
10
00
00
00
10
11
10
01
01
00
11
10
10
01
00
10
00
10
10
01
10
10
00
01
10
10
10
00
11
11
10
10
10
01
01
10
00
01
00
10
10
11
11
10
00
00
11
01
10
00
11
01
01
10
10
00
01
00
10
01
00
10
10
00
11
11
01
10
01
10
00
00
00
11
11
10
01
00
10
10
10
01
01
00
10
11
10
10
10
00
01
00
10
11
11
00
10
11
10
11
00
01
10
10
01
11
00
00
01
10
10
01
10
10
01
01
10
11
10
01
00
00
01
10
11
01
10
10
10
10
00
11
00
00
10
10
00
11
11
01
00
11
10
00
11
11
01
00
11
00
11
10
00
11
10
10
10
01
00
00
10
00
00
10
10
10
10
10
10
00
10
10
10
10
01
01
00
10
10
11
11
10
00
00
01
10
00
00
01
00
10
00
00
01
10
11
11
00
11
00
10
01
10
10
00
10
00
00
01
10
11
01
10
11
00
00
10
11
00
00
11
10
00
00
00
11
00
00
10
10
00
01
01
11
10
01
00
01
10
01
11
00
10
10
00
00
10
10
10
01
00
11
00
00
10
10
01
01
11
00
01
10
11
10
10
10
00
10
11
00
11
11
00
00
01
00
11
11
11
11
01
00
00
00
10
11
00
00
10
00
00
10
10
00
01
00
10
00
00
00
10
10
01
11
11
00
10
00
11
10
01
10
10
00
00
10
00
10
00
00
01
10
10
11
10
11
00
10
01
00
10
00
10
11
00
01
11
10
00
01
11
10
10
10
00
00
11
10
11
10
01
10
11
10
00
11
10
01
01
00
11
00
00
00
11
10
00
00
10
10
11
01
10
11
00
10
01
10
00
00
00
00
00
01
10
10
00
00
10
00
10
10
11
11
01
11
00
01
10
11
10
01
01
00
10
10
01
00
01
10
10
10
00
00
00
10
11
10
10
10
10
11
00
01
00
00
10
10
10
01
00
01
10
10
10
00
00
01
10
10
00
10
11
00
01
10
10
10
00
10
00
00
00
10
10
00
01
10
10
10
10
10
01
00
00
00
01
01
11
10
11
01
11
01
10
00
01
01
10
10
00
10
10
10
11
01
01
10
01
01
10
01
00
00
11
00
11
00
00
11
10
11
01
01
00
10
10
10
10
01
10
00
11
10
11
00
00
00
10
00
10
01
00
10
11
01
00
00
10
11
10
11
00
01
11
10
00
00
10
10
10
00
10
11
10
01
01
11
10
10
00
00
00
10
10
00
11
11
11
11
11
01
00
00
11
10
00
10
11
00
11
00
10
00
01
01
00
00
10
10
00
11
00
01
10
10
01
00
00
10
11
00
01
01
00
01
00
10
00
10
10
00
00
10
00
11
10
11
11
00
10
11
11
10
11
00
00
00
10
10
00
10
10
00
11
10
10
10
00
00
00
11
10
00
00
00
00
11
00
01
10
10
00
00
10
01
00
11
00
00
10
00
00
00
00
10
11
01
10
11
11
10
01
00
11
10
00
01
00
00
00
10
11
00
01
00
10
01
01
00
01
00
10
10
11
11
11
00
11
00
01
11
11
10
01
11
10
00
00
00
11
10
00
01
11
00
00
11
01
00
00
00
10
01
11
11
00
10
00
00
11
00
10
10
00
00
10
10
10
00
00
11
00
10
10
00
00
11
00
01
11
10
00
01
10
10
01
01
00
01
10
00
01
10
01
00
01
11
10
01
11
01
11
10
01
00
11
00
11
10
00
10
10
00
10
00
11
10
01
01
11
11
01
10
10
10
00
01
11
00
00
10
11
10
10
10
10
00
11
01
01
11
01
00
01
11
10
01
00
10
10
00
01
10
10
00
00
00
00
11
01
00
10
10
00
10
00
10
00
10
01
00
10
01
11
10
01
10
10
10
10
01
00
10
10
01
10
00
01
01
11
10
10
00
00
01
11
10
00
11
01
10
01
00
01
11
00
10
00
10
10
10
11
00
01
01
00
01
01
01
10
00
01
11
01
10
10
00
00
10
10
00
01
11
10
11
00
01
00
00
01
10
10
00
00
11
10
01
10
00
00
00
10
01
10
11
11
00
11
01
01
10
01
11
11
10
01
00
10
11
01
11
10
11
01
11
01
00
10
11
01
01
01
00
10
00
00
11
11
01
00
01
10
10
01
01
01
00
00
10
00
10
10
11
00
00
00
01
00
11
01
01
10
00
01
11
10
10
00
00
10
10
01
11
01
11
10
11
00
10
10
10
00
00
10
10
10
10
00
00
11
10
10
00
00
11
10
01
01
11
00
00
00
01
11
01
11
11
01
00
01
11
00
00
10
10
00
11
10
11
00
01
11
10
11
00
10
00
00
11
01
00
00
00
10
00
00
11
11
11
10
01
11
01
00
01
01
11
11
10
11
10
10
11
01
00
10
11
00
00
10
00
00
01
01
11
00
11
00
11
00
00
00
01
10
10
10
01
00
11
00
00
00
10
00
00
00
10
10
00
00
11
10
10
10
01
11
00
10
10
11
00
00
00
10
01
10
10
00
10
10
11
00
00
11
10
00
00
11
10
10
00
00
01
10
10
10
00
00
00
10
00
10
11
10
00
11
01
10
00
10
10
00
01
10
11
00
00
00
01
10
01
11
10
01
01
01
10
10
01
10
01
00
00
11
01
00
00
11
10
11
10
11
01
00
01
01
10
00
10
11
00
00
10
10
00
10
00
10
10
00
01
10
11
10
01
01
00
10
11
11
01
01
11
10
00
00
10
10
00
01
10
10
00
10
00
10
00
01
00
10
00
10
10
10
00
00
10
11
11
00
00
10
10
00
00
10
00
11
00
01
11
00
10
01
01
01
01
10
10
01
10
01
00
01
10
10
11
10
00
10
10
00
10
00
10
10
10
10
10
11
10
01
00
01
10
01
00
00
00
11
01
00
11
10
01
00
00
10
11
00
00
00
11
11
00
10
10
00
10
10
01
00
11
00
00
10
10
11
01
00
10
00
00
11
10
01
01
10
10
00
10
01
10
10
11
10
01
10
00
00
01
10
10
11
00
01
00
10
10
10
00
00
10
00
00
11
00
00
11
10
10
00
11
10
10
11
00
00
10
00
00
00
00
11
11
01
11
00
10
11
11
00
00
11
10
01
01
00
11
01
10
00
10
10
00
00
00
10
11
00
10
00
00
00
11
11
11
10
01
11
11
01
00
00
11
00
00
11
11
00
01
10
10
10
10
10
00
00
10
10
00
11
01
11
00
00
01
01
01
11
10
00
00
01
10
10
01
00
00
10
00
01
00
00
11
11
00
00
11
01
00
11
01
00
11
11
00
01
11
11
00
10
11
11
10
00
01
10
10
10
00
10
00
00
00
00
10
00
11
00
00
11
10
10
01
01
10
10
00
10
10
10
00
00
10
00
10
10
11
00
10
01
00
01
10
11
00
10
10
01
00
10
10
00
01
11
00
10
10
10
00
00
10
10
00
10
10
01
00
10
10
10
10
01
00
00
11
10
00
11
00
01
00
11
00
00
00
11
01
01
11
10
00
01
00
10
11
01
00
00
10
00
11
11
00
00
01
00
00
10
00
00
10
10
10
00
11
10
00
10
10
11
10
11
00
00
10
10
10
00
00
11
10
00
10
01
00
00
00
10
10
10
00
00
10
10
11
10
11
00
11
10
01
00
00
11
10
10
00
11
11
00
00
01
10
11
11
00
00
00
10
10
10
01
11
10
11
00
11
10
00
01
10
01
10
00
00
00
10
10
11
10
01
00
10
00
01
10
01
00
10
00
10
01
00
01
10
11
10
00
01
11
01
11
00
00
01
10
10
01
10
11
10
11
00
01
11
10
00
00
10
10
00
00
10
10
01
01
00
10
00
00
01
10
10
10
00
11
00
10
11
01
10
00
00
11
10
00
11
00
00
11
00
00
00
10
10
10
01
01
11
10
10
00
10
00
10
10
00
10
01
00
10
11
10
11
00
10
10
00
00
10
01
01
00
00
10
01
10
11
00
01
01
10
11
10
11
00
10
11
00
00
00
00
10
10
10
00
00
11
01
10
00
00
01
00
00
01
11
10
10
10
00
10
01
11
10
00
01
00
00
10
10
11
10
00
10
10
00
01
10
10
01
01
10
11
00
10
00
01
00
10
00
00
01
00
11
00
00
10
11
10
00
01
10
00
00
10
10
00
11
01
00
00
11
00
10
10
10
11
01
11
00
00
10
00
00
01
01
11
10
00
10
10
10
11
00
01
00
10
10
10
11
00
00
10
11
00
11
10
10
10
11
11
00
00
10
01
11
01
10
11
00
00
10
10
00
00
00
10
00
01
10
10
00
10
11
10
11
01
00
11
01
10
01
00
10
00
00
10
10
10
00
10
10
00
00
11
10
10
01
00
01
00
10
00
11
01
01
01
11
10
00
11
01
10
11
10
00
11
11
01
10
01
01
01
11
10
11
00
11
11
00
11
01
00
10
10
00
11
00
00
00
11
00
10
01
11
00
10
10
00
00
01
00
11
11
00
10
10
11
00
00
10
01
01
10
01
01
11
10
00
11
11
11
01
00
10
10
00
11
10
00
01
10
11
00
00
10
00
01
10
10
01
00
01
10
11
00
00
11
10
00
01
00
10
00
10
10
00
11
00
10
00
01
10
00
10
00
00
00
10
10
00
10
10
10
00
10
10
00
11
00
10
00
00
11
00
10
11
01
00
10
11
10
00
10
10
01
01
10
10
00
10
10
00
00
10
00
01
10
10
10
10
00
10
00
00
10
00
10
00
00
00
10
01
11
10
00
01
10
10
10
10
00
00
10
10
10
10
11
10
00
00
10
00
00
00
00
11
11
10
00
10
01
00
00
00
10
11
00
10
10
10
00
00
10
01
11
00
11
00
00
10
00
00
00
11
11
00
10
00
11
01
11
11
11
01
01
10
00
00
11
10
00
10
10
01
10
10
01
00
10
00
01
10
10
00
01
10
00
01
11
10
00
10
00
10
10
01
10
11
00
10
10
00
01
10
01
10
00
00
00
11
10
11
00
10
11
10
01
10
10
00
00
10
00
01
00
10
01
01
10
10
10
01
10
10
00
00
10
10
10
00
01
01
00
11
00
00
11
11
11
10
10
00
10
11
01
00
10
01
01
00
11
11
00
00
00
01
10
11
00
00
10
10
10
01
10
10
10
11
00
10
10
00
10
01
01
00
00
00
10
10
00
00
10
00
00
10
11
10
00
10
10
11
10
11
11
10
00
00
00
00
00
11
01
00
11
01
00
00
10
10
01
11
10
00
10
10
00
11
10
11
00
10
00
01
10
11
10
01
11
01
01
01
10
10
10
01
11
10
00
10
00
10
11
00
01
01
00
11
01
10
10
10
01
00
10
10
10
11
11
10
11
00
00
01
00
00
10
10
00
00
00
11
00
00
10
00
00
10
00
10
10
00
11
00
00
00
01
01
01
01
00
10
10
00
01
10
00
10
10
11
10
00
00
01
01
00
01
11
10
00
10
10
10
10
00
01
10
00
00
10
00
00
11
00
01
10
10
11
10
10
01
01
10
10
00
10
00
10
01
01
10
01
00
11
10
10
11
01
01
10
00
10
00
00
10
10
10
10
10
10
00
00
00
01
10
10
00
01
00
10
01
10
01
00
10
00
11
10
00
11
01
00
10
01
00
10
10
10
01
00
10
01
00
00
10
01
00
10
10
01
11
00
00
11
01
11
10
10
10
00
11
00
01
11
10
11
11
01
11
10
01
01
00
10
01
00
11
00
10
00
00
00
10
10
01
10
10
10
00
11
10
10
01
11
01
00
01
00
00
10
10
10
10
01
10
10
11
01
00
01
00
10
10
01
01
01
00
10
10
10
11
10
01
01
11
11
00
00
10
01
10
10
01
01
00
10
10
01
00
11
10
10
11
11
11
01
10
10
00
10
10
10
00
00
00
00
00
10
00
10
11
00
11
11
00
00
00
11
10
00
00
00
10
10
11
11
10
00
00
11
00
00
10
10
01
10
00
01
10
00
11
00
01
00
11
01
10
10
01
00
00
10
00
11
10
00
10
00
00
00
10
01
00
11
00
01
10
11
10
00
00
00
10
10
11
00
11
00
10
00
01
11
00
10
10
00
00
00
01
10
01
00
00
11
10
11
10
11
00
10
00
01
11
10
00
00
10
10
10
11
00
00
01
10
01
10
11
00
10
00
01
00
11
00
01
00
01
10
10
01
10
10
00
10
11
10
00
01
10
11
00
00
01
10
10
00
10
11
01
11
10
01
00
00
01
01
10
00
10
10
11
01
00
10
10
00
10
00
11
10
11
11
00
01
10
00
11
10
00
10
10
00
11
01
00
00
11
01
11
01
11
11
10
10
11
00
00
00
10
01
10
00
00
11
00
01
00
10
00
00
00
01
11
10
01
01
11
11
00
01
10
01
00
11
10
01
11
10
00
00
01
01
10
11
00
01
00
10
00
00
00
10
00
00
11
10
01
10
00
10
10
10
00
01
10
00
00
11
00
01
11
10
00
10
00
10
10
10
00
00
00
01
01
10
10
00
01
10
11
00
10
00
11
10
00
00
10
01
11
00
10
11
00
10
10
00
01
10
00
00
10
00
11
10
11
00
01
10
11
11
00
00
10
11
00
00
01
10
10
01
11
11
00
00
11
10
01
10
11
00
00
11
10
00
00
10
10
10
00
01
00
10
01
01
10
11
10
01
10
01
11
01
10
11
11
00
10
10
00
00
10
10
00
00
11
00
01
10
00
00
10
11
10
01
00
00
10
10
00
01
11
10
10
10
01
10
10
00
10
00
00
10
00
10
01
10
10
00
01
11
10
10
10
00
00
11
01
00
01
00
00
10
00
00
10
11
11
11
11
10
11
00
00
10
00
01
10
01
10
00
00
00
10
11
10
00
11
11
10
10
00
10
10
00
11
11
00
10
10
11
01
00
00
01
00
00
01
11
10
00
10
00
10
00
10
00
10
00
01
10
10
00
10
10
01
00
10
01
01
11
01
11
11
10
10
00
11
11
01
00
01
01
01
10
10
10
00
10
10
00
00
10
01
00
10
10
00
10
10
01
00
11
10
11
00
00
11
11
00
00
00
10
01
00
00
00
10
01
00
10
00
00
01
00
00
10
00
00
11
01
11
10
11
01
00
01
00
11
10
01
01
01
11
10
00
11
00
01
10
10
00
00
01
11
11
00
00
10
11
00
01
00
11
10
11
00
00
10
00
10
00
01
10
10
10
00
00
01
01
10
11
01
00
01
11
00
00
00
10
00
11
10
10
00
00
10
01
00
00
10
10
00
11
00
00
10
10
00
10
10
11
11
10
00
00
10
01
10
10
10
01
01
10
01
00
01
01
00
01
10
11
10
01
00
11
00
00
01
11
10
01
10
10
01
00
11
10
10
10
10
11
01
10
01
00
11
10
00
11
01
00
10
11
01
00
10
10
00
00
00
00
00
10
01
00
10
10
10
11
00
11
10
00
00
11
00
00
10
10
10
00
00
00
10
00
01
00
01
10
00
10
10
11
10
00
00
00
01
11
11
11
11
10
01
00
10
00
01
10
00
11
10
10
10
01
00
00
10
10
00
00
11
01
00
10
11
10
10
00
00
10
10
00
00
10
11
10
01
10
00
00
00
00
10
00
01
01
10
01
10
01
01
00
00
00
10
11
00
11
11
00
00
10
01
00
10
11
10
00
10
01
01
00
10
10
10
10
10
00
10
11
00
01
10
11
00
01
00
11
00
00
01
10
00
01
10
10
10
00
01
01
10
10
00
01
10
01
00
10
10
00
11
10
10
00
00
00
10
10
00
00
11
00
10
10
11
00
00
01
11
00
10
00
10
10
00
01
01
10
10
00
11
10
10
00
10
00
00
00
00
10
00
10
11
00
10
10
11
01
00
10
11
00
00
11
01
00
00
10
11
00
01
00
10
10
11
11
10
11
00
10
10
10
00
01
00
10
10
10
00
10
00
10
11
10
00
00
11
01
00
00
10
00
10
10
00
01
11
00
00
00
11
01
00
10
11
10
11
00
01
10
10
00
01
01
11
10
01
00
10
11
01
11
10
10
00
10
10
00
00
11
00
00
01
11
10
11
11
10
10
00
00
10
10
01
10
11
00
00
00
10
11
01
00
00
10
10
10
01
00
10
10
01
00
01
11
10
00
01
10
00
00
10
00
10
10
00
01
10
10
11
00
00
01
00
11
00
00
00
10
00
11
01
01
10
01
11
00
01
10
11
10
10
00
00
11
00
11
10
00
01
00
01
11
11
00
10
01
00
00
10
00
00
10
11
10
10
10
10
10
00
10
01
00
10
11
01
10
01
10
00
11
10
10
10
10
01
10
10
00
01
11
00
00
10
00
01
01
10
10
01
10
01
11
01
00
10
11
11
11
01
01
10
01
01
10
00
10
11
00
00
10
11
00
10
00
10
01
10
10
10
10
11
10
10
00
01
00
10
01
00
01
10
11
00
00
00
11
00
00
10
10
10
11
01
01
01
01
10
00
00
00
11
00
10
10
00
11
01
10
00
00
10
00
10
01
00
00
00
10
00
11
10
00
10
10
00
10
00
01
11
01
11
10
10
01
10
10
00
00
11
10
00
11
01
00
10
11
11
10
01
01
11
10
00
01
10
10
00
11
11
00
01
11
01
00
00
10
10
10
11
11
01
00
11
10
00
01
10
10
11
01
00
00
01
11
11
00
00
10
00
01
11
01
01
11
10
10
11
10
11
00
00
10
00
01
00
11
10
01
11
11
00
00
00
01
10
11
01
00
11
01
10
00
00
10
00
00
10
10
01
00
10
00
10
10
11
01
10
00
00
11
00
11
00
00
10
00
01
11
10
01
10
01
00
11
00
00
11
10
10
01
01
10
00
10
10
10
01
01
00
10
11
11
01
11
00
00
00
10
00
10
11
00
00
10
00
10
01
10
11
00
11
10
00
11
00
01
10
00
10
11
00
11
10
00
11
00
11
00
11
10
10
11
00
01
10
11
01
00
11
10
11
00
00
11
00
11
11
10
01
10
00
00
10
10
10
00
10
00
00
11
00
00
10
11
00
00
01
10
00
10
11
01
11
10
01
00
10
11
00
11
11
10
00
11
10
00
10
10
01
10
00
00
00
10
10
01
00
10
10
11
00
00
10
00
10
10
00
11
11
00
01
00
10
11
10
01
00
11
10
10
00
10
11
00
01
10
10
10
10
01
00
10
11
10
00
10
01
00
10
00
01
11
00
01
01
10
10
00
10
10
01
00
11
00
00
10
01
11
00
01
11
00
01
00
10
01
10
00
10
11
00
01
10
10
01
00
01
10
10
01
00
00
01
00
10
10
00
10
10
01
10
00
00
00
10
10
00
10
10
01
00
11
00
10
10
11
10
11
00
11
11
00
10
10
00
00
10
10
00
00
01
00
10
00
11
10
00
00
10
10
01
00
00
00
11
01
01
10
10
00
00
00
00
10
10
01
00
10
10
11
00
01
11
01
00
00
10
10
10
01
00
11
11
01
00
10
00
00
00
11
11
00
11
00
00
01
10
10
00
01
01
11
00
10
10
00
00
00
10
10
01
01
00
10
10
00
01
10
10
10
11
01
01
11
10
10
00
10
00
00
11
10
10
00
01
00
10
10
00
10
01
01
10
11
00
10
10
11
11
10
11
00
00
11
00
10
10
01
01
01
10
10
11
10
00
10
10
11
00
01
01
10
00
11
01
10
10
00
01
11
11
00
00
10
01
00
11
10
10
11
10
11
10
11
00
11
10
01
01
00
10
00
10
10
10
10
00
00
10
01
11
00
01
10
10
00
01
00
00
10
10
01
00
11
10
01
00
10
00
01
10
00
11
11
11
10
10
01
11
10
00
01
10
10
10
01
00
10
00
00
10
11
10
10
00
11
00
10
11
00
00
10
11
10
00
00
00
01
11
10
11
10
01
00
00
10
01
01
01
10
10
00
00
01
00
01
10
01
01
10
10
10
11
01
01
11
00
00
10
10
00
10
10
00
11
00
01
10
00
10
00
11
11
11
00
10
10
00
01
10
10
00
10
01
00
00
11
11
00
10
00
00
00
10
00
10
00
10
10
00
10
00
00
11
11
10
10
00
00
01
10
11
10
10
10
11
11
01
01
11
00
10
10
00
01
11
10
00
00
10
10
00
01
01
01
11
10
00
00
00
10
10
01
00
00
11
00
01
10
10
10
10
11
00
00
10
11
01
01
00
10
00
11
00
00
10
10
00
01
10
10
00
10
00
10
00
00
10
00
00
00
01
11
11
00
11
00
11
01
00
11
10
00
01
00
10
10
00
00
00
11
00
10
11
00
01
11
11
00
01
10
01
00
01
00
10
11
11
00
10
00
01
10
01
00
11
00
00
11
11
11
01
00
01
11
01
01
11
10
11
01
00
10
11
01
01
01
01
01
11
10
00
10
11
10
01
00
11
10
11
00
10
01
00
10
10
00
01
10
00
00
00
00
01
10
11
10
00
11
01
10
10
10
01
00
00
11
00
01
00
10
11
00
10
10
00
00
11
01
00
10
10
11
00
01
10
00
11
00
10
10
11
11
00
00
10
11
10
00
01
01
10
10
10
10
10
10
11
00
01
00
00
00
00
10
10
00
00
11
00
00
10
10
10
00
00
00
10
10
00
10
11
00
10
00
00
00
10
10
00
01
11
00
00
10
10
10
11
01
10
11
11
00
00
10
01
10
10
00
00
00
10
01
01
10
10
10
10
00
11
00
01
00
00
11
01
10
11
00
11
01
01
01
11
00
01
00
10
10
00
00
10
10
00
11
00
10
00
00
00
00
10
10
11
00
10
01
00
11
00
01
00
10
10
11
01
01
11
10
11
00
11
10
00
00
00
00
10
10
01
10
10
01
11
01
10
10
00
10
10
00
00
10
00
10
00
00
00
11
01
10
00
00
10
01
10
10
11
00
00
10
00
11
00
01
11
00
10
01
00
01
00
10
11
10
00
01
01
10
00
00
11
10
10
00
00
10
10
10
10
01
00
11
10
01
00
11
01
11
10
00
00
00
11
10
00
00
00
00
00
00
10
00
10
01
10
00
00
00
00
01
00
11
10
10
10
10
00
01
00
11
10
10
00
10
10
11
11
00
10
00
10
11
00
01
10
11
01
01
00
01
00
10
00
11
00
00
01
10
01
01
10
01
10
00
00
10
10
11
00
00
11
11
00
00
10
00
10
10
01
00
10
10
10
00
11
01
10
10
00
10
01
00
10
00
00
10
11
11
00
01
10
10
01
10
01
10
10
00
10
11
00
10
10
10
00
11
10
00
00
01
11
10
10
00
10
10
10
00
00
11
00
10
11
00
00
00
01
10
00
00
10
10
10
10
11
00
10
00
11
11
00
00
10
10
11
10
01
00
01
10
10
10
01
11
00
01
10
01
00
11
11
00
01
11
11
00
11
01
01
00
11
10
10
01
00
10
00
00
10
10
10
00
00
10
10
11
10
11
00
10
00
11
11
01
00
00
10
01
00
10
00
00
11
11
00
10
10
01
00
01
10
00
00
11
11
10
00
00
00
00
01
11
11
00
00
11
00
10
11
00
00
10
00
00
10
10
00
01
11
11
11
11
10
10
10
00
10
10
00
00
11
11
11
11
10
11
10
11
00
10
10
00
00
01
01
11
11
00
01
10
10
00
00
11
10
11
00
01
00
11
00
01
11
10
10
00
10
10
11
10
01
01
10
00
11
10
00
00
11
11
10
11
00
00
10
10
01
11
00
01
11
01
01
10
11
00
01
10
00
00
11
10
00
10
10
01
10
10
00
00
11
10
00
00
00
00
10
00
10
10
01
01
00
10
00
00
11
10
00
10
00
01
00
00
11
10
00
00
10
00
00
10
10
10
10
00
00
00
10
11
01
10
10
00
10
00
10
10
01
00
11
10
10
11
11
11
10
00
10
00
11
11
01
11
00
10
10
00
00
11
00
00
01
00
00
00
11
01
10
10
11
10
00
00
01
00
10
00
10
00
11
00
00
01
00
10
10
00
00
10
00
10
00
11
00
10
10
00
10
01
10
10
11
00
10
10
00
00
10
10
00
11
10
11
00
00
10
00
10
11
11
11
10
10
00
10
10
00
10
11
00
10
10
00
11
10
01
00
00
10
11
11
00
11
10
11
00
10
11
00
00
10
11
11
01
00
10
10
10
10
10
00
00
00
10
00
11
00
00
00
10
01
11
10
00
00
10
10
01
01
10
10
00
01
00
00
00
10
10
00
10
10
10
00
11
01
10
00
11
10
11
10
01
01
10
10
00
00
10
10
01
10
01
00
10
10
01
10
01
11
11
10
01
00
11
00
00
11
10
00
11
00
00
10
11
10
10
00
00
11
11
01
10
01
10
01
10
10
01
00
11
00
10
10
10
00
11
10
01
00
00
00
00
10
10
10
00
10
10
01
11
10
10
10
00
00
10
11
10
00
00
10
00
00
11
10
11
01
10
00
01
10
11
10
01
01
10
11
11
00
01
00
10
00
11
10
00
01
11
11
00
10
00
01
10
10
01
00
11
00
10
10
00
10
10
10
00
10
10
01
00
11
01
00
00
11
10
00
00
10
10
10
10
00
00
00
11
10
10
10
01
11
01
11
01
11
11
10
10
00
00
01
10
11
00
01
10
11
10
11
00
00
01
00
10
10
11
00
10
10
00
00
10
00
00
00
10
10
10
10
01
00
11
00
11
00
11
10
00
01
10
10
10
01
00
10
00
01
11
00
10
11
11
10
01
10
00
11
00
00
01
10
11
10
00
10
00
01
11
00
11
01
01
10
11
00
00
00
10
11
10
11
01
11
10
01
00
10
00
00
10
10
10
00
10
10
10
01
10
00
01
10
10
01
00
00
10
01
10
10
00
00
10
10
00
10
00
10
10
00
00
00
11
00
00
10
00
10
11
01
00
01
10
11
10
10
01
00
00
10
01
10
10
00
01
00
10
10
01
10
00
00
00
11
00
01
10
01
11
00
10
11
00
00
01
10
10
00
01
10
10
00
00
00
10
00
00
00
01
11
10
01
11
10
11
11
11
11
01
01
10
00
00
10
11
00
01
11
01
10
00
01
00
00
11
11
00
01
10
00
00
10
11
01
00
10
11
00
01
11
10
10
10
10
10
00
00
00
10
01
10
01
01
10
01
10
11
11
10
00
00
10
11
10
10
00
11
10
10
11
01
10
00
11
01
10
10
00
10
11
00
10
00
11
11
10
11
01
11
10
10
00
00
10
10
10
00
10
10
01
01
10
01
00
00
00
00
10
10
00
00
00
11
00
11
10
00
10
00
00
10
00
01
10
11
10
00
10
00
00
10
10
01
00
11
00
10
10
10
00
11
10
10
10
00
00
10
00
01
10
10
10
01
00
10
11
00
01
10
00
00
00
10
00
00
11
00
00
10
10
01
10
00
10
00
00
10
10
00
00
11
10
01
00
00
10
10
11
00
00
10
11
00
00
01
10
01
10
00
00
10
00
01
10
00
01
11
10
10
00
00
00
01
10
10
11
11
10
10
01
00
10
01
10
00
10
01
00
00
11
10
00
10
10
10
11
11
00
00
10
00
01
10
10
10
10
00
01
11
10
10
01
11
01
10
01
10
01
10
10
00
00
01
00
10
11
00
00
01
10
11
10
00
11
01
10
00
10
00
00
10
10
10
01
10
00
00
00
10
01
00
10
10
00
01
00
10
01
01
10
11
01
01
10
11
01
10
00
11
00
00
00
11
11
00
10
01
10
10
00
11
11
11
00
10
10
10
01
01
10
10
11
10
00
00
10
01
11
10
00
00
10
01
00
10
10
11
10
00
01
01
00
01
10
10
01
00
00
00
10
10
10
00
01
10
10
00
00
00
00
10
10
00
10
11
11
00
00
10
11
10
11
10
10
11
11
11
00
11
10
00
01
00
00
10
10
11
10
10
01
00
00
01
11
10
01
01
11
10
10
01
01
00
00
10
10
11
00
11
11
01
00
00
10
10
01
00
01
10
10
01
10
01
00
01
00
00
01
10
10
00
00
10
11
10
11
11
01
00
11
01
00
00
10
01
00
10
10
01
10
00
00
10
11
00
01
10
00
00
10
10
10
00
00
00
10
01
00
00
10
00
11
00
01
10
11
01
10
10
00
00
10
01
10
11
00
00
00
00
11
11
00
10
00
00
11
10
11
10
11
00
10
00
00
00
00
11
11
10
00
11
11
11
01
00
01
10
00
00
00
00
10
10
01
10
00
10
00
01
00
10
10
00
10
11
00
00
10
00
10
10
11
10
10
01
00
01
01
00
10
10
00
10
01
00
00
10
00
10
00
10
00
10
11
00
10
10
10
01
00
11
11
00
10
10
10
01
00
11
10
01
10
11
11
00
10
11
00
01
00
00
11
00
00
10
10
01
00
10
00
10
10
00
00
00
00
00
10
10
10
00
11
00
11
10
10
10
10
00
10
10
01
00
11
00
11
10
10
00
01
00
00
00
11
11
10
10
00
10
10
01
00
10
00
10
01
01
00
01
10
01
10
01
00
11
10
01
01
10
11
00
10
10
10
00
00
10
11
10
00
00
11
11
01
11
10
11
01
10
10
00
00
11
11
00
10
00
01
10
00
11
01
00
00
00
10
00
10
00
01
10
10
00
10
10
01
10
10
11
01
10
00
10
00
00
10
10
00
11
10
00
01
01
01
00
00
00
10
01
11
11
00
00
01
10
10
10
11
00
10
00
00
11
10
00
11
00
11
00
01
11
10
01
00
11
10
10
01
00
10
10
00
11
11
10
10
10
10
10
01
00
11
10
00
00
10
01
00
10
10
00
10
10
10
11
00
00
01
11
00
01
00
10
10
01
00
10
11
01
00
10
11
11
10
00
00
10
10
01
01
10
10
01
10
00
01
11
10
10
00
10
00
10
10
00
00
00
00
11
01
00
10
10
10
00
10
10
00
01
10
01
10
01
00
00
00
00
11
10
00
01
10
01
11
10
10
00
10
10
11
01
01
10
00
10
11
11
10
00
10
10
10
01
00
10
01
10
11
11
10
01
00
00
01
01
10
10
01
00
00
10
11
10
01
00
00
01
00
10
11
11
10
11
01
10
01
01
01
00
01
00
11
11
01
11
10
10
00
00
10
01
00
10
00
10
00
00
10
00
10
00
01
00
10
10
00
01
10
01
00
00
00
11
01
10
11
11
01
00
00
01
01
01
11
01
10
01
00
10
11
00
00
10
10
00
01
11
10
00
11
00
10
01
00
10
01
01
10
00
11
10
10
00
00
01
11
11
10
01
00
10
00
00
11
01
01
10
11
11
00
11
00
01
10
11
00
00
00
11
01
11
01
00
10
11
10
01
00
10
10
00
10
01
10
10
01
10
11
01
00
00
00
00
11
10
00
10
01
00
10
10
10
00
00
00
10
00
10
00
01
11
11
00
00
00
10
10
00
00
10
10
00
00
00
10
00
10
11
10
10
10
00
10
00
01
00
00
10
01
11
10
11
10
01
00
11
00
01
10
01
00
00
00
10
00
01
00
10
10
10
10
10
10
11
00
01
11
10
00
10
10
00
01
11
00
10
10
10
11
00
11
00
00
11
01
11
10
10
00
11
10
10
00
01
11
10
00
01
00
00
00
11
11
00
10
01
11
11
11
00
00
10
10
01
10
10
00
11
11
00
10
01
01
01
10
10
10
00
01
00
11
11
10
00
10
00
01
11
10
11
10
01
10
10
00
01
01
11
00
01
10
01
01
00
11
10
11
10
00
01
00
10
10
00
11
11
11
00
10
00
01
01
11
10
01
01
10
01
00
11
00
01
11
10
00
10
00
00
00
00
11
10
01
10
11
00
00
10
11
10
01
00
11
00
01
10
01
10
11
10
00
00
01
00
10
01
00
10
11
01
10
01
10
00
10
10
10
11
10
00
10
10
00
11
10
00
10
11
11
01
01
01
10
01
10
01
10
11
00
00
10
10
10
01
10
11
00
01
10
01
11
10
00
00
10
00
11
11
01
00
11
11
00
00
10
10
10
01
00
00
11
10
10
00
10
11
11
11
01
01
10
01
11
00
00
10
10
00
00
11
00
00
10
01
10
10
10
00
00
10
11
00
00
10
00
10
00
00
10
01
10
01
00
10
00
01
00
10
00
00
00
10
10
01
00
10
00
00
10
10
00
00
10
10
00
10
10
10
00
10
10
01
10
10
01
10
10
10
10
01
10
11
00
10
00
10
10
00
00
10
00
01
10
00
10
00
10
01
00
01
00
11
10
10
00
00
00
10
10
01
00
01
00
10
01
10
00
11
00
11
00
01
10
11
11
00
00
00
00
10
00
00
00
10
10
00
10
10
10
10
10
11
10
10
10
10
10
00
01
01
10
11
10
10
00
01
10
11
11
00
10
11
11
00
01
11
10
00
10
00
00
11
11
10
10
10
11
10
00
00
10
11
10
01
00
11
10
00
00
10
10
00
00
10
00
10
11
10
01
10
01
11
11
01
00
00
11
00
11
10
00
00
01
00
10
10
00
10
11
01
10
00
00
11
10
01
01
11
10
10
10
00
00
11
00
00
11
00
01
10
10
10
01
00
10
10
01
00
01
10
11
10
01
11
00
00
10
10
01
01
11
10
00
00
00
00
10
00
10
10
11
00
10
01
00
10
11
00
00
10
00
11
10
01
10
10
00
10
01
10
10
00
10
10
00
00
10
10
10
11
00
01
11
10
00
01
11
01
10
10
10
01
00
00
01
10
10
00
11
11
11
11
10
00
00
00
00
10
11
00
01
00
10
10
11
00
01
10
10
00
00
00
10
10
10
00
00
01
00
10
11
10
10
10
00
01
10
10
01
10
10
11
00
00
00
00
00
11
00
00
00
00
11
10
10
10
10
00
01
00
10
10
00
01
00
01
00
11
11
01
00
10
10
00
10
01
10
01
10
11
11
11
01
00
00
00
00
10
00
01
11
10
10
10
01
01
01
01
00
00
11
10
11
00
00
11
10
10
10
10
11
01
10
01
01
11
00
11
10
00
00
10
00
11
11
10
11
01
01
10
11
11
00
01
10
00
10
11
01
10
10
10
10
11
10
10
01
00
11
10
01
00
00
10
11
10
00
10
10
10
00
00
11
01
00
11
01
01
11
00
00
00
10
10
01
01
10
10
10
10
11
01
10
11
11
10
00
00
00
01
00
10
10
00
00
01
00
10
10
00
11
00
10
00
10
10
10
10
10
10
00
11
01
00
10
01
11
11
10
00
11
11
00
11
10
00
00
00
10
00
01
10
11
01
10
01
10
10
11
00
10
10
10
01
00
00
00
00
00
10
11
00
00
01
10
11
10
01
10
10
00
00
00
10
11
01
01
10
10
10
01
01
10
00
00
10
11
11
01
10
11
10
00
10
00
01
11
10
00
10
10
10
10
10
00
01
11
01
00
00
10
00
00
00
10
11
11
00
00
10
01
11
00
10
01
10
10
00
00
01
00
11
11
10
10
11
11
00
11
10
10
00
00
11
00
01
00
10
01
00
00
00
00
11
00
11
10
11
00
10
00
01
01
10
00
01
00
11
00
00
10
10
01
10
00
10
00
10
10
00
01
00
00
10
10
01
10
11
01
10
10
10
11
00
10
00
10
10
01
01
00
00
00
00
00
10
10
11
10
01
10
01
01
10
11
10
10
00
00
10
10
10
00
10
00
00
11
00
10
10
00
11
00
00
11
10
00
00
00
10
10
11
00
01
10
01
10
10
10
01
10
11
11
00
01
10
00
10
11
11
01
11
10
10
10
00
10
00
00
10
00
00
00
00
00
00
11
11
11
00
10
11
10
00
00
10
10
10
00
01
11
00
00
00
11
01
10
10
10
10
11
10
01
00
01
00
10
11
01
10
10
10
00
00
11
00
01
00
10
11
00
00
11
01
01
11
10
10
01
00
10
00
01
11
10
00
00
10
10
10
00
10
01
10
11
11
01
11
00
00
01
10
11
01
11
10
01
11
01
10
11
00
00
10
10
00
11
10
01
00
11
11
10
00
11
10
00
11
00
10
10
10
00
10
11
00
00
11
01
10
10
01
00
00
00
10
10
10
00
00
10
10
01
01
10
11
10
10
00
00
10
01
11
00
10
10
10
10
01
10
01
00
00
01
10
00
00
00
10
11
11
00
01
10
01
00
10
11
01
01
10
10
01
01
10
10
10
00
00
10
10
00
00
10
11
00
01
01
00
11
10
01
10
01
01
00
11
00
10
11
00
01
10
10
00
10
00
00
11
11
10
01
00
11
10
10
00
10
10
00
00
10
11
11
11
01
00
11
00
10
10
10
01
11
00
01
10
11
10
10
00
00
10
00
10
10
10
11
10
00
00
01
00
00
10
10
10
10
11
00
10
01
10
10
10
01
01
10
01
00
10
11
10
10
10
11
00
10
00
00
10
10
00
11
01
00
11
10
10
00
00
11
11
10
01
00
11
10
01
11
10
10
10
01
01
00
11
00
00
10
11
00
10
00
01
11
00
10
00
00
01
00
11
10
10
11
10
00
11
10
00
10
11
01
00
00
10
00
11
01
01
01
10
11
00
00
10
10
10
01
10
11
00
10
01
10
11
01
10
00
10
11
00
10
11
11
00
01
11
00
00
00
01
10
01
00
11
00
11
10
11
00
10
01
01
01
00
01
01
11
10
10
10
00
01
00
01
10
11
01
01
10
10
10
10
10
00
01
11
10
00
10
10
00
00
01
00
10
11
10
00
01
10
10
10
10
10
00
00
00
10
00
01
11
00
11
11
10
11
10
11
00
10
10
11
10
00
00
11
10
11
01
00
11
10
11
00
10
11
10
10
01
00
11
01
00
11
00
01
00
11
10
00
11
11
10
00
00
10
01
10
10
10
00
01
10
11
00
10
00
00
10
00
00
11
11
01
01
10
11
00
11
00
01
10
11
10
01
10
10
00
11
00
00
11
10
00
00
01
11
10
10
10
00
01
00
00
00
10
10
11
00
10
00
00
01
01
00
11
11
10
10
01
11
01
00
11
10
00
01
10
11
00
00
10
00
11
00
01
00
01
10
00
00
10
11
00
11
10
00
00
10
00
11
00
01
00
01
10
10
10
00
00
10
11
00
11
01
00
00
11
00
10
10
00
11
11
10
00
00
00
10
10
00
10
10
01
00
11
11
00
11
00
00
11
01
00
10
11
00
10
00
10
10
10
00
10
10
11
00
00
00
00
10
11
00
10
10
11
01
00
10
10
00
01
00
00
11
01
00
11
00
10
00
00
00
00
00
10
11
11
00
10
11
11
11
10
00
00
00
00
01
01
10
10
01
10
00
01
00
01
10
10
10
00
10
10
00
10
00
00
00
10
10
10
11
01
00
00
00
00
00
10
11
00
00
00
11
10
10
00
10
11
01
00
11
01
01
10
11
00
00
10
10
01
01
10
10
00
00
10
11
10
11
11
00
00
11
10
10
01
00
01
10
01
11
10
00
01
00
00
10
10
10
00
01
10
00
00
00
11
11
11
00
00
10
10
11
00
11
00
00
10
00
10
00
01
11
11
01
11
00
11
11
10
01
00
00
10
10
01
01
11
10
01
11
10
10
00
10
11
11
00
00
00
01
10
01
10
10
10
01
00
00
10
00
10
11
00
10
00
10
10
11
10
00
10
10
01
11
11
00
10
10
01
11
00
01
01
11
01
10
10
11
11
00
00
00
00
10
10
10
10
11
00
00
10
00
11
00
10
10
01
00
00
10
00
10
00
10
10
00
10
10
00
00
10
01
00
10
11
10
11
00
00
10
00
01
10
10
00
00
10
10
10
10
10
11
00
01
11
00
00
10
10
11
00
00
10
10
11
10
10
10
01
00
00
01
10
11
10
11
10
01
01
01
10
11
00
11
00
00
11
00
10
00
00
10
00
01
10
10
10
00
00
00
01
11
00
01
00
01
11
11
01
10
00
00
10
10
00
00
10
10
10
11
11
00
01
10
10
00
10
10
11
00
01
00
01
10
00
10
01
00
10
11
10
01
00
00
00
11
10
11
11
11
00
00
11
11
10
00
10
00
10
00
01
10
11
00
11
10
00
01
01
10
00
11
10
01
00
00
10
10
10
01
10
01
00
10
10
10
10
01
10
10
00
01
00
10
00
00
00
10
10
00
10
11
00
11
10
01
00
00
00
11
01
00
00
10
00
01
11
10
01
00
01
00
10
10
11
01
00
10
10
11
01
00
00
00
10
01
10
11
00
00
10
10
11
00
01
11
11
11
00
00
10
10
00
10
00
10
00
11
10
01
10
11
10
10
01
01
00
10
10
01
00
11
00
01
11
11
01
00
00
10
11
00
01
11
11
01
00
10
11
01
00
10
01
00
00
01
00
11
00
11
10
01
10
10
10
00
00
11
10
00
11
10
00
01
10
10
10
10
00
10
10
10
10
10
11
10
01
00
00
00
10
00
11
10
00
01
10
00
00
00
10
00
10
10
00
00
01
01
00
00
10
01
10
00
10
10
00
10
11
01
01
11
01
01
00
10
10
00
11
00
11
10
10
01
10
10
10
01
00
10
10
10
11
00
00
00
10
00
11
00
10
10
01
00
10
01
01
01
10
01
00
10
11
11
11
00
01
00
00
10
11
10
00
10
10
11
01
00
00
10
10
00
10
01
10
00
01
10
11
01
00
11
10
00
00
10
10
00
10
10
00
00
10
10
11
11
01
01
10
11
10
00
00
00
11
11
01
01
10
10
01
11
10
11
00
00
11
10
11
00
11
10
01
10
01
10
11
10
01
00
10
10
10
01
01
10
11
10
10
00
11
00
10
11
00
01
01
11
10
00
11
11
01
10
00
01
10
10
10
10
00
01
10
10
01
00
00
11
11
00
00
11
10
00
00
00
00
11
01
10
10
10
10
00
10
01
11
00
01
10
00
00
10
00
00
10
10
01
00
10
11
00
01
10
00
10
00
10
00
10
10
10
00
10
11
11
00
00
10
11
00
00
00
01
11
11
00
10
00
01
10
00
10
01
10
00
00
11
10
10
11
10
11
00
00
10
11
00
01
10
10
11
00
00
11
10
00
10
00
01
10
10
01
10
00
01
00
00
10
11
10
00
00
01
10
00
01
11
11
10
11
10
10
10
01
01
00
10
10
00
11
10
01
00
11
10
11
00
10
00
10
00
10
01
01
01
10
10
10
10
11
00
00
10
10
00
00
01
00
01
10
11
00
00
10
10
00
00
10
10
10
00
00
01
11
00
00
10
10
11
00
11
10
10
01
00
10
00
10
10
11
11
01
00
10
01
00
00
00
11
10
00
01
00
10
10
10
01
11
01
10
10
01
10
00
10
11
01
01
10
00
01
01
01
00
10
10
01
01
00
10
01
00
10
00
10
11
10
00
10
00
10
01
00
01
01
11
01
10
00
00
00
10
10
01
10
00
00
10
10
10
00
10
00
00
11
00
00
10
10
10
00
00
10
11
11
10
00
00
11
00
00
00
11
11
00
10
00
00
01
01
01
10
11
10
00
10
10
01
10
11
00
00
11
01
10
00
10
10
10
11
10
10
00
10
11
01
00
00
10
00
00
01
11
10
01
10
11
01
00
00
01
00
10
11
10
11
00
00
10
11
00
00
01
00
00
00
11
11
10
10
01
00
10
10
10
00
00
00
00
00
00
11
11
10
01
10
10
10
01
01
10
10
00
01
10
10
10
01
10
10
10
10
10
11
10
00
11
10
00
01
00
10
00
10
11
10
00
10
01
01
10
00
11
00
00
00
00
10
10
00
11
10
00
00
10
11
00
10
00
10
10
01
00
11
11
00
11
00
11
00
10
11
01
11
00
11
00
00
00
00
10
11
00
11
00
10
00
11
10
00
01
11
11
01
10
10
11
11
00
11
10
11
01
00
00
10
01
10
10
01
00
11
00
10
00
01
10
00
10
10
01
01
11
00
01
01
00
00
00
11
10
01
00
11
00
01
10
10
10
10
10
00
10
10
01
00
10
10
11
00
00
01
10
01
10
10
00
11
10
01
00
10
00
00
10
10
00
11
10
00
11
10
01
10
11
10
00
00
11
00
11
01
00
11
11
10
01
00
11
00
00
10
00
10
11
00
10
01
10
11
10
10
01
10
10
00
11
01
11
01
10
00
00
00
00
10
00
00
10
11
00
10
00
10
10
01
00
01
01
11
10
01
11
00
01
11
00
10
10
00
00
11
10
01
10
01
11
01
01
01
00
10
10
00
00
10
10
01
11
01
10
00
10
00
10
01
00
10
11
11
00
00
10
00
00
10
00
00
10
00
01
01
11
10
11
11
11
11
01
10
11
00
00
00
00
10
11
10
00
00
11
00
11
10
00
10
00
11
10
11
01
01
00
00
00
11
00
00
11
01
11
00
10
00
01
00
10
10
01
10
00
00
10
01
00
11
00
00
00
00
11
11
10
00
00
11
01
10
10
10
01
00
00
00
10
00
10
11
00
11
00
10
00
00
10
00
00
11
00
11
00
10
00
00
10
10
01
00
10
00
10
10
11
01
10
10
00
10
00
00
10
10
01
00
01
10
00
10
11
11
01
10
10
10
10
01
01
00
10
10
00
10
10
00
01
01
11
10
00
10
10
10
10
00
00
10
10
01
10
01
10
00
11
10
10
10
00
00
11
01
11
11
10
00
00
00
00
10
00
00
11
10
10
11
01
00
10
00
10
11
10
10
00
00
10
00
11
10
10
10
11
00
10
10
01
10
11
00
01
11
00
11
00
11
11
10
01
00
00
10
01
00
11
01
00
00
10
00
01
00
11
00
01
10
00
00
10
11
00
00
00
10
00
11
10
00
10
11
10
01
10
10
01
00
10
10
10
01
10
10
01
10
10
10
00
10
11
10
11
00
01
11
10
10
00
00
10
00
00
01
10
10
01
10
10
01
10
01
11
11
00
00
11
10
11
10
00
10
01
00
00
00
11
10
01
11
11
11
10
00
00
11
11
00
11
11
00
01
10
00
00
00
01
01
10
10
01
00
10
10
11
10
00
11
00
00
00
00
10
10
00
10
01
00
11
00
01
00
10
10
00
11
10
01
00
01
11
10
10
10
00
00
10
10
01
01
00
10
10
00
00
11
00
10
10
00
11
00
10
00
00
00
10
10
00
00
11
10
10
10
00
01
01
10
10
00
10
00
00
00
01
00
10
10
00
11
00
10
10
00
11
11
11
11
01
10
10
00
10
10
01
01
01
10
11
00
10
00
00
11
00
01
10
10
00
10
11
00
00
00
10
11
00
11
10
10
10
11
00
10
00
01
01
01
11
10
01
01
10
10
10
01
10
10
00
00
11
10
01
00
10
10
11
10
11
00
00
10
00
00
10
00
01
00
10
01
10
10
10
00
01
10
01
01
10
11
11
00
00
01
10
00
11
11
00
01
01
10
01
01
00
10
00
10
10
00
10
11
11
10
00
00
10
00
10
10
01
01
00
01
10
01
10
00
00
10
01
01
00
00
01
01
10
00
10
10
01
00
11
00
00
00
01
10
10
10
01
01
00
00
01
10
00
00
10
00
10
11
10
10
00
10
10
00
10
10
11
00
00
10
00
10
00
00
10
01
00
10
00
00
00
00
00
11
01
01
01
11
01
10
00
10
11
00
01
01
10
10
00
00
10
11
00
01
11
00
00
01
10
10
11
01
10
11
00
00
00
11
10
11
00
10
10
00
11
00
00
11
10
01
10
00
00
11
10
00
01
11
11
01
01
01
00
10
10
10
00
10
11
01
00
10
01
10
00
10
11
11
01
10
00
11
11
01
00
10
10
00
10
00
00
11
10
00
11
10
01
01
10
11
10
00
10
10
00
00
00
10
10
11
10
11
11
10
01
10
01
00
10
10
10
10
00
11
10
00
00
00
10
00
00
11
00
11
01
11
00
01
10
10
01
00
10
11
00
01
10
00
00
10
10
10
10
10
00
10
00
11
11
00
10
00
01
01
10
10
10
11
10
01
10
10
00
11
01
11
10
01
01
00
10
01
01
01
10
11
01
00
00
10
10
00
11
11
10
10
00
01
11
00
00
00
10
10
10
11
11
10
00
10
10
11
01
00
10
10
11
00
11
11
10
00
00
11
00
00
10
10
10
10
00
00
11
01
11
00
10
11
00
11
10
11
10
11
10
10
10
00
10
10
11
11
01
00
10
11
00
00
10
10
01
11
10
11
01
11
11
01
01
10
01
01
11
00
00
10
00
00
01
11
10
10
01
10
00
11
01
00
00
00
10
01
00
11
00
10
11
11
00
10
00
01
00
00
10
10
00
11
10
01
10
00
10
00
00
10
00
10
10
10
01
00
01
00
01
00
10
11
10
10
00
11
00
11
11
10
11
00
01
10
01
00
00
10
11
01
01
10
01
10
11
10
11
10
01
00
10
11
00
01
00
00
10
01
10
11
00
00
10
10
00
11
10
00
00
01
00
00
00
10
11
11
01
00
11
10
01
11
00
01
10
10
10
00
00
01
00
00
01
10
10
10
10
01
01
10
00
00
10
10
10
00
00
10
11
11
00
00
00
00
10
10
10
10
10
10
10
01
01
00
11
00
10
10
10
01
10
10
00
10
11
11
00
10
01
01
10
01
00
10
00
01
11
00
01
10
10
00
00
10
10
00
00
10
01
00
10
10
00
00
00
01
11
10
00
10
10
10
00
00
10
00
11
10
00
11
00
01
11
10
11
11
11
10
00
11
10
10
00
00
10
11
11
01
11
00
00
00
00
11
10
01
01
10
00
11
00
01
10
10
10
01
10
11
00
01
00
11
11
10
00
10
00
00
10
10
00
10
10
00
01
00
11
00
10
01
00
00
00
10
10
10
10
01
01
10
10
10
01
00
11
00
00
00
10
00
10
01
00
11
11
11
10
00
01
01
10
01
10
00
10
01
11
01
11
11
10
00
11
10
00
10
10
10
00
10
10
10
10
00
00
10
01
01
11
00
00
00
11
11
01
00
10
11
00
10
00
00
11
10
00
10
01
00
10
00
00
01
11
01
10
00
11
11
10
00
00
10
00
11
01
00
10
11
00
00
11
10
01
00
10
00
10
10
11
10
01
00
01
01
01
10
10
00
01
10
10
00
11
10
00
01
10
11
11
01
10
00
01
00
00
01
01
10
11
10
10
01
00
10
10
10
01
00
11
11
00
10
00
01
11
10
01
00
00
10
11
00
00
00
11
01
10
01
00
10
01
00
00
00
10
10
11
10
00
11
00
00
00
00
10
00
10
00
01
11
10
00
10
11
01
00
10
10
00
00
11
10
00
00
10
10
00
11
11
01
10
10
01
11
00
00
11
00
00
01
00
00
11
10
00
01
01
10
01
10
00
11
10
00
00
01
10
11
01
00
10
00
00
00
00
10
10
11
10
01
00
10
00
10
10
00
10
10
00
00
00
10
10
10
01
00
00
10
10
10
00
10
10
00
10
10
00
00
10
11
11
00
00
01
00
10
00
01
01
00
01
00
10
10
10
00
01
10
11
00
00
01
11
00
00
10
10
00
01
10
00
01
11
11
10
00
00
00
11
11
10
10
10
10
00
10
10
11
10
00
00
11
10
10
11
00
01
00
11
11
01
11
11
01
01
10
11
10
01
00
10
10
00
01
11
01
10
11
01
10
00
00
00
01
01
10
01
00
10
10
11
00
01
11
11
10
00
01
10
00
00
00
10
10
11
01
00
10
01
01
00
01
01
10
11
00
10
10
00
00
10
10
00
00
01
10
00
10
10
00
00
10
00
11
10
01
00
00
10
00
10
10
01
00
11
10
11
01
10
00
00
00
00
10
10
00
10
10
10
10
00
01
00
00
11
00
01
00
00
01
01
00
10
00
00
10
11
11
00
00
10
10
11
10
00
00
11
00
10
11
01
00
10
10
00
11
11
01
10
10
10
00
10
10
00
10
10
10
11
01
10
11
00
01
01
10
10
10
11
01
10
11
10
00
10
10
00
00
11
10
10
01
10
11
10
00
00
11
00
00
11
01
01
00
10
11
01
10
10
01
00
10
11
10
00
01
11
00
00
00
00
10
11
11
00
10
10
10
00
00
10
00
10
01
11
00
11
00
10
00
00
10
10
10
01
00
11
00
00
01
00
10
00
00
10
10
01
00
10
11
10
10
10
00
10
00
00
00
01
10
10
11
00
10
11
10
00
11
00
10
00
10
10
10
11
01
00
00
01
10
00
00
10
11
00
00
00
01
00
10
01
01
10
10
00
01
00
10
11
10
00
00
10
10
00
00
00
00
11
10
00
01
11
10
10
00
00
10
10
11
00
01
01
01
01
11
10
01
11
00
10
10
00
01
00
10
00
10
10
10
10
00
00
11
10
10
01
10
10
11
10
10
11
00
00
10
11
11
00
11
10
00
10
10
01
00
00
10
11
00
00
00
10
10
00
01
01
00
11
00
00
10
00
01
10
10
01
00
10
01
01
00
01
00
10
11
10
01
00
11
10
10
10
00
00
11
11
10
00
00
00
01
00
11
11
11
00
01
10
10
10
01
00
10
00
00
11
00
10
00
00
01
00
11
10
01
01
11
10
00
01
10
00
01
10
10
00
10
00
01
11
10
10
00
01
00
00
00
00
00
01
10
10
10
00
00
10
10
00
00
11
00
00
01
11
00
00
00
00
10
00
10
10
10
01
01
10
00
01
10
01
00
10
00
01
00
11
10
00
10
10
00
01
00
10
10
00
00
11
11
11
11
01
10
11
10
11
01
10
10
00
11
10
10
00
01
00
00
11
10
10
00
01
00
10
10
10
01
11
01
00
10
10
11
10
00
01
11
11
01
10
10
01
00
11
00
00
11
01
00
11
01
00
11
10
10
00
01
11
00
00
11
10
11
10
00
00
01
10
00
00
10
10
00
11
01
11
10
00
10
00
11
10
11
00
01
00
10
01
01
10
10
11
00
10
10
10
00
11
10
00
10
00
00
00
01
10
10
10
10
10
10
00
00
10
11
11
10
01
00
01
01
00
00
11
10
00
00
00
00
01
10
00
00
00
00
11
10
11
00
10
01
10
10
00
11
10
10
01
00
10
00
00
10
00
01
10
01
00
00
10
10
11
00
00
10
10
00
00
11
00
00
00
11
10
10
11
01
11
10
10
00
00
00
00
11
11
00
00
00
01
10
10
01
10
00
01
10
10
11
01
00
10
10
10
10
00
00
01
00
00
01
01
11
00
10
11
11
11
00
01
11
00
00
10
10
00
10
10
00
10
10
01
00
00
10
01
01
10
11
10
00
11
01
10
10
11
00
11
10
00
01
00
10
10
10
00
10
00
10
00
10
10
00
10
10
11
00
11
01
00
10
00
00
10
10
11
01
11
10
00
01
00
11
11
00
11
11
10
11
10
01
01
10
10
01
10
10
00
00
11
00
10
11
10
00
00
11
10
11
00
10
10
10
10
01
10
11
00
10
00
01
01
00
10
10
01
00
10
00
01
10
11
10
00
11
00
11
10
00
10
11
10
01
01
10
11
11
11
00
11
10
00
00
10
01
10
00
11
10
01
00
00
01
11
00
00
10
10
00
00
00
00
00
11
00
11
11
00
10
11
11
00
11
10
00
00
10
01
10
10
00
00
10
10
00
00
10
00
10
10
01
10
00
01
10
10
10
00
11
10
01
10
10
00
00
00
00
10
10
10
10
10
10
11
11
01
10
00
10
00
00
11
01
11
00
10
11
10
00
01
00
10
00
01
10
11
10
01
10
10
01
10
01
00
01
10
10
00
00
11
10
00
00
00
10
11
01
00
11
10
00
01
00
10
10
00
01
10
11
11
10
11
01
10
00
01
01
01
10
10
11
10
00
00
00
10
11
10
10
00
00
11
00
01
01
00
00
01
10
11
10
00
00
01
01
10
10
10
10
00
00
00
10
11
11
11
01
01
10
10
10
01
00
01
10
11
10
01
11
10
00
00
00
01
11
11
00
00
10
00
00
10
00
00
00
10
00
11
10
11
01
11
01
11
00
00
10
10
10
01
00
11
01
10
00
00
01
10
00
00
10
10
10
00
10
11
11
00
10
10
01
00
10
11
11
01
10
00
10
01
10
00
01
00
10
10
10
10
10
10
00
11
10
01
10
10
11
01
11
01
11
10
01
01
00
11
11
10
00
10
10
01
00
11
10
00
00
00
11
01
01
11
00
10
00
10
01
01
11
00
00
11
00
00
00
10
11
00
11
10
10
10
00
11
00
00
10
00
00
10
00
11
10
01
11
01
10
00
00
00
10
11
00
00
10
01
01
00
10
01
00
10
00
10
10
10
10
00
00
00
10
00
10
01
00
11
10
01
10
01
10
10
11
00
10
10
00
01
11
01
00
01
10
10
00
00
10
10
00
00
01
10
10
10
00
00
10
00
00
10
10
00
10
11
11
11
01
11
10
00
10
10
01
00
00
00
10
10
00
10
11
10
11
10
00
10
11
01
00
11
11
10
10
00
00
10
10
00
10
11
01
00
01
10
10
11
00
11
00
10
10
01
11
01
11
10
01
00
01
00
10
01
00
10
11
00
01
10
00
10
00
10
00
00
10
10
00
01
00
11
00
00
11
00
11
01
10
01
10
00
10
00
01
01
10
10
11
10
10
11
11
00
11
00
00
01
10
10
00
10
10
10
10
00
10
01
10
10
00
01
11
11
10
00
00
00
10
10
11
00
00
00
10
00
00
10
11
00
00
01
00
00
00
11
00
11
11
00
11
10
10
01
00
11
10
00
01
00
00
01
00
11
01
11
10
10
10
01
00
10
10
00
10
01
00
01
10
11
00
10
10
11
00
00
00
10
10
01
00
00
01
10
10
10
01
10
11
00
11
00
11
01
00
01
10
11
01
00
10
00
10
10
00
01
01
00
00
10
00
01
00
00
10
00
11
11
00
00
00
10
01
10
10
11
01
00
00
10
10
01
10
11
00
01
10
10
10
11
11
01
10
10
01
10
10
01
10
01
10
01
10
10
10
10
10
10
00
00
10
11
00
10
00
10
00
10
11
00
00
10
00
00
10
11
10
10
10
00
00
00
00
00
10
00
00
11
00
10
11
01
00
10
01
10
10
00
00
00
10
11
11
00
10
01
01
10
11
11
10
00
01
11
10
10
00
00
10
01
01
10
11
10
01
00
10
11
10
01
11
01
01
00
01
10
01
00
00
10
00
00
10
00
00
00
01
10
10
01
10
01
10
11
10
00
00
10
10
00
01
11
11
10
00
10
10
11
10
00
01
10
10
10
11
00
00
00
11
00
11
10
11
00
01
00
01
00
10
10
00
11
10
11
01
00
01
11
10
00
00
10
01
00
11
00
10
10
00
00
10
00
00
11
11
00
10
10
00
00
10
10
10
00
00
11
00
01
01
10
10
01
11
10
01
01
00
10
10
10
00
10
00
00
10
10
10
00
11
11
10
00
10
11
10
11
00
11
01
10
01
00
10
10
10
00
00
11
11
11
10
01
00
00
01
00
00
11
10
01
10
10
00
00
10
11
00
01
10
00
10
11
01
10
01
00
10
10
00
10
00
01
10
10
00
10
10
00
11
11
11
10
01
11
01
10
00
00
00
00
10
10
00
01
00
10
00
10
00
00
10
00
00
01
11
00
00
11
01
10
00
00
10
10
10
11
00
10
00
00
00
01
00
00
10
10
10
11
10
10
11
10
10
10
00
01
00
00
10
10
00
01
10
11
10
00
00
10
11
00
10
01
01
10
00
01
10
11
00
00
00
10
10
01
10
10
01
00
11
10
10
00
00
10
00
11
10
01
11
10
10
00
00
11
10
00
00
10
11
10
11
10
10
10
10
10
00
01
10
00
10
01
01
00
00
10
10
10
01
10
11
11
11
11
01
01
11
00
01
10
10
01
01
11
10
01
00
01
01
01
00
11
10
00
10
10
00
00
11
10
10
01
00
10
10
10
11
10
00
00
10
10
01
00
10
11
00
01
01
01
01
11
00
10
10
10
00
00
11
10
10
00
00
10
10
10
00
11
11
11
01
01
11
10
11
00
10
10
01
01
10
00
01
10
11
00
10
10
00
10
01
10
11
01
10
10
10
00
00
10
10
10
10
10
00
00
01
11
11
11
11
00
01
00
11
10
00
01
10
01
00
11
11
10
10
00
01
11
10
00
00
00
00
01
00
00
10
10
10
11
10
01
01
11
11
00
11
10
00
00
10
01
00
00
11
11
10
00
10
10
01
10
10
11
10
00
00
00
01
10
00
00
11
11
01
10
00
00
10
00
10
10
10
01
11
00
11
00
11
10
00
00
00
10
10
00
00
01
01
00
10
00
00
00
10
10
10
00
01
10
01
11
10
10
11
01
11
00
00
00
10
10
01
00
11
00
01
00
00
10
10
00
00
01
11
00
01
00
00
00
00
11
00
01
01
10
10
10
01
00
11
10
00
10
10
10
10
01
10
10
00
00
10
00
10
01
00
10
10
01
01
11
11
10
10
00
00
11
10
00
00
00
00
00
10
10
01
11
01
00
00
00
00
10
00
10
11
11
11
00
10
11
01
11
00
10
11
00
11
01
10
11
01
10
10
00
00
10
10
00
00
10
10
10
00
11
10
11
10
11
10
10
00
00
10
11
11
00
10
10
11
10
10
00
01
10
11
00
01
10
00
10
10
10
00
00
01
10
11
01
01
10
00
10
10
00
00
01
10
10
00
11
10
10
11
10
00
01
00
11
10
01
10
11
00
00
00
10
10
00
10
01
00
01
10
10
10
10
00
10
11
00
00
10
11
00
10
10
10
00
00
00
10
11
00
00
10
10
00
00
11
10
00
00
00
01
10
00
00
10
10
00
00
01
10
11
11
00
00
01
10
01
00
11
01
11
11
00
01
11
00
11
00
01
10
11
01
00
10
11
11
10
00
00
10
10
00
01
10
01
01
10
10
11
11
10
00
00
00
11
00
00
11
11
11
00
01
10
01
01
10
10
00
00
00
01
00
10
10
10
11
01
10
00
00
00
00
10
10
00
10
10
11
01
10
10
10
00
11
10
01
01
01
00
00
00
00
00
10
11
00
01
10
10
10
10
10
00
01
10
00
00
10
01
11
00
10
10
10
01
11
10
00
00
00
00
10
11
10
10
11
01
01
11
01
00
11
10
01
10
11
00
10
11
10
00
00
10
01
10
10
00
10
01
01
11
10
01
00
10
00
00
11
11
01
01
10
10
00
00
00
00
11
10
00
10
00
10
00
11
10
00
10
10
11
01
11
00
01
10
10
00
10
10
11
01
10
10
00
00
00
11
00
00
00
00
10
11
01
01
10
10
10
10
10
00
00
10
10
00
01
10
10
00
00
01
00
00
10
00
00
10
00
10
10
00
11
00
00
00
11
01
11
01
00
01
00
10
00
10
11
01
10
10
01
00
10
00
00
00
10
11
10
10
00
11
01
10
00
10
01
01
00
10
00
00
10
10
00
01
11
11
01
00
11
00
01
11
10
01
01
10
11
01
10
10
01
01
00
00
10
11
00
11
00
01
10
10
10
11
11
00
10
10
00
10
01
11
01
00
00
10
10
00
01
10
11
10
00
10
01
10
10
00
00
01
11
10
01
10
11
00
01
11
10
10
01
01
10
00
00
10
11
01
11
10
01
10
11
10
01
00
01
00
10
11
10
01
01
01
11
00
00
00
10
10
00
00
10
11
01
00
01
00
10
11
10
01
11
11
00
01
10
10
01
00
10
10
10
00
10
00
01
01
11
11
10
00
10
10
00
00
10
10
11
00
01
00
10
10
00
11
10
00
00
10
00
00
10
10
10
11
00
01
00
10
00
11
01
11
00
00
10
00
10
11
11
00
10
00
01
00
11
10
10
00
00
01
10
10
10
01
00
10
00
10
01
10
11
01
00
00
00
10
11
00
00
10
10
01
00
01
11
10
00
00
10
11
10
00
10
01
10
00
10
00
10
01
00
00
01
10
11
00
00
10
00
01
00
11
00
01
00
01
01
10
01
01
10
10
10
00
10
11
00
00
00
11
10
00
10
10
00
10
10
11
10
11
00
01
01
00
01
11
00
00
10
11
00
00
11
00
00
00
00
11
11
11
00
10
10
10
00
11
10
00
10
01
01
00
00
10
01
10
00
11
10
00
01
00
10
00
10
11
10
01
10
10
00
00
00
10
00
00
10
10
11
00
00
11
10
10
10
00
00
00
00
00
11
10
10
10
00
01
11
11
00
01
00
10
10
11
10
00
01
10
10
10
10
01
10
10
01
00
10
00
10
00
10
10
01
00
00
00
01
11
00
10
11
00
11
01
00
00
10
00
00
00
00
00
00
00
10
10
00
00
01
10
11
10
10
00
10
11
11
00
00
00
10
10
00
01
11
11
11
10
10
11
00
10
10
00
00
10
11
10
00
01
10
00
01
00
00
11
00
01
10
00
11
00
00
10
11
00
11
01
01
10
01
10
00
01
11
10
11
10
00
11
00
00
10
10
10
00
00
11
00
01
00
11
10
01
01
10
10
11
01
00
10
10
01
00
10
11
10
11
10
00
00
01
10
00
11
10
00
10
01
00
10
10
00
01
01
11
11
00
00
11
01
10
11
00
10
10
10
00
10
11
00
10
10
11
00
00
11
10
10
01
00
11
10
00
00
01
10
01
10
10
10
11
11
01
10
11
10
01
00
00
10
11
00
10
11
10
00
10
00
10
00
00
10
01
00
01
01
00
00
01
00
00
00
10
10
10
00
10
10
01
10
11
00
01
00
10
10
10
00
11
00
10
10
10
00
11
01
01
00
00
01
10
00
10
10
00
00
10
10
11
01
00
00
10
10
11
10
10
11
00
01
10
01
00
10
10
01
11
00
10
10
00
00
01
10
11
10
10
11
11
10
11
00
00
00
10
11
01
01
01
00
10
00
00
10
10
00
00
10
00
11
10
10
11
00
00
01
10
10
11
00
00
11
01
10
00
00
00
00
01
00
10
00
10
10
10
01
00
01
01
00
10
00
10
10
10
00
10
10
10
11
00
01
01
11
10
11
11
00
00
01
11
10
01
00
11
10
00
11
00
00
10
00
01
11
11
11
00
01
11
00
10
10
10
00
00
00
00
00
10
10
11
11
00
01
01
10
01
10
11
11
00
01
00
10
11
10
00
11
11
00
00
01
10
10
00
10
01
11
00
00
01
10
10
00
00
10
10
11
00
00
00
00
11
00
01
01
11
10
10
11
10
11
00
11
00
01
10
01
10
10
10
00
00
10
10
00
11
11
01
00
00
10
11
00
11
10
01
01
10
00
00
00
01
11
00
01
11
10
01
10
10
10
00
10
00
01
10
10
00
00
00
00
00
11
10
00
00
00
11
00
11
10
10
11
11
01
00
10
00
00
00
11
11
01
00
10
01
10
00
00
11
10
11
00
00
10
01
01
10
00
00
00
00
11
10
00
10
10
10
10
10
11
10
00
10
11
00
00
01
01
00
01
10
10
10
01
00
10
10
01
00
10
00
10
01
01
01
01
10
01
10
00
00
01
11
10
00
01
10
00
11
10
00
01
00
00
10
00
10
10
01
01
00
00
11
01
01
00
11
10
11
01
00
00
10
10
01
10
10
11
01
10
11
11
00
00
10
11
11
00
00
00
00
00
00
11
00
00
10
10
00
01
11
10
00
00
10
00
10
00
11
10
01
00
11
01
01
10
01
10
01
11
11
00
10
10
00
11
10
10
00
10
10
00
11
10
01
00
10
11
10
00
00
00
10
10
11
10
10
11
10
00
10
11
11
01
01
11
11
10
11
00
01
00
10
11
00
01
10
10
01
10
10
10
10
01
00
10
10
00
00
01
10
11
01
00
00
00
10
01
01
00
11
10
00
10
10
00
10
11
00
00
11
10
10
10
00
10
00
01
10
00
01
00
00
11
10
00
10
10
00
01
10
10
00
00
11
10
00
00
00
11
01
00
10
10
11
10
00
10
10
10
00
10
10
01
00
10
11
10
01
10
10
00
00
00
01
01
10
00
00
00
10
00
01
10
11
00
00
10
00
00
10
10
00
10
01
01
01
10
10
11
00
10
00
00
00
10
10
00
01
00
10
01
10
10
00
10
10
10
00
00
01
00
01
00
11
00
01
10
10
11
00
10
10
00
01
00
10
10
11
00
11
10
00
00
00
00
00
00
10
00
11
10
11
01
10
11
01
01
11
01
00
10
11
00
11
10
01
00
11
00
01
10
11
10
00
00
11
00
00
10
10
00
10
00
01
11
10
11
10
11
00
10
01
01
11
10
11
00
10
10
11
10
01
00
01
11
01
01
10
01
00
00
10
11
10
10
00
00
10
01
00
10
11
00
01
10
11
00
00
01
00
00
10
00
11
11
00
00
10
10
10
00
00
00
01
10
10
11
01
00
00
00
10
01
00
00
10
10
00
00
01
11
10
01
10
00
11
10
11
01
01
10
00
01
10
10
00
00
10
10
00
10
10
11
10
01
11
11
10
11
01
10
10
00
10
10
11
00
00
11
10
00
10
01
00
00
10
11
10
00
01
01
01
00
11
10
11
10
00
00
11
00
00
00
11
11
01
11
11
10
11
00
00
00
10
10
10
01
00
11
10
00
11
00
00
00
01
11
11
10
10
00
00
10
10
01
00
11
11
10
00
01
00
10
11
10
00
00
11
11
00
10
11
01
11
01
10
11
01
00
10
01
00
00
10
10
00
00
10
01
11
11
00
10
00
00
00
11
00
00
11
10
00
11
10
01
10
01
00
00
00
10
11
11
10
01
00
00
01
11
11
11
00
10
10
00
01
10
11
00
11
10
01
00
10
10
01
00
00
01
11
00
00
11
10
10
10
00
00
00
10
10
00
00
10
00
00
01
00
00
00
00
00
10
00
11
00
01
00
00
10
00
10
10
10
01
11
11
11
10
11
10
01
00
10
10
00
00
01
00
10
00
00
00
10
00
00
00
00
11
00
00
10
10
00
00
11
10
00
00
00
00
01
00
10
10
10
00
00
00
00
11
11
10
00
10
01
00
00
00
11
10
11
10
00
10
10
10
11
10
00
01
00
01
10
11
00
00
11
01
10
11
00
11
10
01
10
10
11
11
01
01
10
10
11
00
01
10
10
01
00
10
10
00
00
10
10
10
10
00
10
11
01
01
10
10
10
00
11
00
00
10
10
00
00
01
00
01
11
00
00
10
10
10
10
00
01
10
00
01
10
00
10
00
00
00
11
10
10
00
00
00
00
11
11
10
11
10
10
11
01
11
10
00
00
01
00
01
00
10
10
10
00
10
10
01
10
10
01
11
10
01
01
10
01
01
01
11
10
11
10
01
01
00
10
10
00
00
10
01
00
10
00
11
01
00
00
10
10
00
11
10
00
01
01
00
10
10
10
10
00
00
01
11
11
11
01
11
00
01
10
00
01
00
10
11
00
00
00
10
10
10
01
00
11
10
10
00
01
01
00
01
11
11
01
00
00
00
00
11
11
00
10
10
00
10
00
10
10
11
11
10
00
00
00
00
10
10
11
00
10
11
01
00
01
01
01
11
11
00
10
00
00
10
10
10
01
00
00
00
00
00
01
01
11
11
00
00
10
00
00
00
10
11
10
10
10
11
11
00
00
00
00
01
10
11
10
01
10
01
00
00
10
10
01
10
11
00
10
10
10
00
00
11
10
10
01
10
10
00
00
00
11
11
11
00
00
00
10
10
00
00
10
10
11
11
11
10
11
10
01
01
10
10
01
00
00
00
10
01
01
00
11
01
11
11
00
11
10
00
01
00
10
11
10
01
10
01
00
10
00
11
00
00
11
11
10
10
00
00
00
10
00
10
00
10
10
11
10
10
01
01
01
10
00
01
01
10
01
00
10
00
01
11
11
11
01
10
10
11
01
10
00
01
10
11
11
10
00
00
11
00
10
10
00
11
10
10
00
00
10
10
00
00
10
00
00
10
10
00
00
00
01
11
10
10
00
10
10
10
00
00
00
00
11
00
10
00
10
01
11
10
10
10
00
10
10
01
10
10
10
01
00
10
11
01
00
11
01
10
00
01
00
11
10
01
10
00
00
10
10
00
00
10
10
10
10
00
01
00
00
00
10
11
10
11
00
11
00
00
10
10
10
00
00
11
01
11
10
00
10
10
10
10
00
00
11
01
00
00
01
11
10
00
01
01
00
01
00
10
01
10
00
00
11
00
10
10
00
10
10
10
11
11
00
11
00
10
00
11
00
00
00
01
11
01
11
10
00
00
01
00
01
10
10
00
11
00
01
11
00
01
00
00
10
00
10
11
01
00
01
10
00
00
10
10
01
00
11
01
10
10
10
00
00
11
00
10
10
11
11
00
10
01
11
00
01
10
10
11
00
10
00
00
10
01
00
10
00
10
00
00
10
01
11
00
10
11
11
01
00
01
11
01
00
11
11
01
10
00
00
10
00
00
10
11
11
11
00
10
10
01
10
00
10
10
01
01
10
01
11
01
00
01
00
10
01
00
00
00
10
10
11
01
10
10
00
00
10
11
00
00
10
10
10
11
01
01
10
11
00
10
00
01
10
10
10
10
00
00
00
00
10
10
11
10
01
10
10
00
10
10
10
11
00
10
00
00
11
00
10
10
10
11
00
10
00
00
10
01
11
11
01
00
01
11
00
00
11
10
00
10
00
10
00
11
10
10
00
00
01
10
10
10
10
00
00
11
11
01
00
00
10
10
01
10
00
00
11
00
10
00
00
11
10
11
01
11
00
00
10
00
10
11
00
00
10
11
00
00
01
01
10
10
11
01
01
11
00
11
10
00
10
00
00
11
10
01
11
11
00
00
00
10
00
00
10
11
00
10
00
10
01
11
11
01
01
10
10
10
01
10
10
00
01
11
11
10
10
01
10
00
00
10
00
10
11
10
11
11
10
10
11
10
10
11
00
00
10
11
11
00
11
10
10
01
01
00
10
10
00
01
11
00
10
11
01
00
11
10
00
10
10
11
11
00
01
00
11
11
01
00
10
00
01
11
11
01
00
10
10
00
10
10
01
10
00
10
11
00
11
10
00
00
00
10
10
01
11
10
00
00
00
01
11
10
01
01
00
10
11
00
10
11
00
01
10
10
00
10
10
10
10
01
00
10
01
10
01
01
11
11
10
00
01
01
10
00
01
10
01
11
10
01
00
10
10
00
00
10
00
00
11
01
00
00
01
10
10
10
10
10
11
00
00
00
00
00
01
10
10
00
10
10
00
00
10
10
00
10
00
00
11
00
11
10
00
10
10
11
10
01
00
10
10
10
10
00
11
00
00
10
10
00
01
01
00
11
10
11
10
10
00
01
10
10
00
00
00
10
11
00
00
10
10
10
01
11
11
10
10
10
00
00
00
10
10
11
10
00
10
01
11
01
00
11
10
10
11
01
00
10
01
00
00
00
10
10
00
10
10
00
10
00
00
01
10
10
00
10
00
10
01
00
00
10
11
01
01
00
11
01
10
10
00
00
10
01
00
10
11
11
10
01
10
10
10
11
01
00
10
00
10
00
11
00
00
10
00
00
11
11
11
01
10
00
10
00
11
11
01
01
10
10
10
00
10
10
01
00
00
00
10
00
00
10
10
01
01
11
10
00
10
00
10
00
00
10
10
00
00
00
01
00
00
11
11
11
01
10
11
01
00
01
00
10
10
10
01
11
11
00
01
10
00
10
10
00
00
10
01
10
10
00
00
00
10
10
00
01
01
01
01
10
11
11
10
00
00
10
10
00
10
10
00
11
10
11
00
10
10
00
10
11
10
00
10
01
11
10
01
01
10
00
00
10
11
01
10
10
00
01
11
00
10
00
10
10
10
11
01
00
11
00
10
11
10
00
01
01
10
10
10
01
00
10
11
00
00
11
11
00
01
10
10
10
00
00
11
01
11
10
10
00
11
00
00
10
00
01
10
00
11
00
00
00
01
00
01
10
10
10
11
00
10
10
00
11
01
00
01
10
00
10
01
11
01
01
10
11
10
00
00
10
00
00
01
11
10
00
00
10
00
00
10
01
11
00
11
00
00
10
10
00
00
11
10
00
10
00
11
10
11
00
01
10
01
10
11
10
00
11
00
10
10
00
01
10
11
00
00
00
01
00
10
00
01
10
00
00
11
10
00
00
10
00
00
00
10
00
10
00
10
10
01
10
11
10
00
01
00
01
00
00
10
10
10
00
01
00
11
01
10
01
00
01
11
11
01
10
00
01
11
01
10
11
00
00
01
01
10
10
00
10
11
00
10
00
10
11
01
10
10
01
00
00
11
01
00
10
00
11
10
00
01
10
01
10
10
00
00
10
10
11
01
10
10
10
00
00
10
10
10
00
11
10
11
10
00
00
11
00
10
00
00
01
11
10
10
00
01
10
00
01
00
01
10
10
10
11
01
10
00
01
10
00
00
11
10
00
01
10
01
00
00
00
11
00
00
11
10
10
11
00
00
10
00
00
01
00
11
00
01
00
10
11
10
10
00
10
10
00
10
10
00
01
10
01
10
10
00
01
00
01
00
10
00
00
00
11
10
10
10
11
00
11
10
00
00
10
00
01
10
00
11
10
10
11
01
01
00
10
10
00
00
10
00
01
01
10
01
10
00
10
10
01
00
10
01
10
10
00
11
01
01
10
11
10
01
00
00
11
10
00
11
10
01
10
11
01
10
01
10
11
10
10
00
10
00
10
11
10
11
01
00
00
10
00
00
01
10
10
01
01
01
11
01
11
11
10
11
01
10
11
00
00
10
00
00
11
10
01
00
00
10
10
01
10
00
00
00
00
00
10
00
00
00
10
01
00
11
10
10
11
10
10
00
10
01
10
11
01
11
01
01
00
00
10
10
01
10
11
10
10
10
11
10
00
00
10
00
00
00
00
01
00
10
10
00
11
10
01
10
11
00
10
10
00
10
10
10
00
01
00
00
00
11
00
11
10
10
00
10
01
01
00
01
00
10
00
10
11
00
00
10
10
10
10
10
00
00
10
10
01
00
10
11
00
10
01
00
00
00
11
10
01
00
00
10
01
01
10
10
00
00
10
01
11
11
01
00
11
00
00
10
10
01
00
00
10
10
01
10
11
00
00
00
11
00
10
10
01
10
11
10
00
10
10
10
01
00
01
10
10
00
10
01
00
10
10
10
00
10
00
00
10
01
10
10
00
11
00
00
10
01
10
11
10
00
10
00
11
00
01
10
10
11
10
00
00
00
00
00
00
10
00
01
00
11
01
10
10
01
00
11
10
00
00
01
00
10
00
00
11
10
10
10
10
00
11
00
00
01
00
10
00
11
00
10
10
10
10
00
00
00
01
11
00
10
00
01
10
10
00
00
11
10
11
10
10
10
10
00
01
10
10
00
11
10
00
00
11
10
01
00
00
00
10
01
10
10
00
10
00
10
00
10
00
00
11
11
10
00
10
10
00
01
11
01
00
10
11
00
00
00
00
11
01
00
10
01
10
01
00
01
11
11
10
11
00
01
10
10
01
00
00
11
00
01
00
00
10
10
00
01
10
10
01
11
00
11
01
00
10
01
00
11
11
01
00
10
11
11
10
00
10
10
00
00
10
00
00
00
10
11
00
00
10
00
01
11
00
00
11
11
10
01
01
10
10
00
00
10
11
01
00
00
10
10
00
00
01
10
10
00
00
01
10
00
10
11
00
10
11
10
00
00
10
10
00
01
10
00
00
00
00
10
00
00
10
10
10
00
01
10
00
10
11
11
11
10
01
11
00
11
10
10
10
01
01
11
10
00
00
00
11
00
10
10
10
00
11
00
00
00
10
10
01
11
01
00
00
10
11
00
00
01
10
10
01
11
11
11
00
00
10
00
10
11
10
01
00
11
00
10
01
01
01
10
10
10
11
01
11
01
11
01
11
10
01
00
01
01
11
10
00
10
11
00
10
01
01
11
10
11
01
01
01
10
10
10
11
00
11
00
01
10
10
11
00
11
10
00
10
00
01
00
10
11
11
10
01
10
01
10
10
00
10
11
00
01
00
00
11
10
11
00
00
10
00
00
10
10
10
11
10
00
11
00
00
01
10
10
11
11
00
10
10
00
10
11
01
00
10
10
10
10
10
00
10
10
00
00
00
10
00
11
10
00
11
01
10
11
11
10
10
11
10
10
10
00
00
11
01
00
01
00
00
10
10
11
10
01
01
00
10
00
01
01
01
11
10
10
01
00
10
00
00
00
11
00
10
11
01
00
00
11
00
00
11
00
10
00
11
10
10
00
01
00
11
11
00
11
01
11
01
01
11
10
01
01
00
10
10
00
00
00
11
10
00
00
00
01
11
00
01
10
00
10
11
01
11
10
01
00
10
10
01
11
10
11
10
10
01
11
00
10
00
00
10
00
00
10
00
00
00
11
00
00
10
10
10
01
10
10
01
00
11
10
11
01
00
10
10
00
00
01
10
10
01
00
00
00
11
01
11
11
00
11
11
01
00
11
00
01
10
10
00
10
10
00
01
00
11
00
00
01
11
10
11
00
01
10
10
00
11
01
01
01
10
10
01
11
00
10
11
00
10
00
00
00
00
11
11
00
00
10
10
01
01
10
11
01
10
10
11
00
01
00
10
10
10
00
10
00
00
01
10
00
10
10
00
10
00
10
00
00
00
10
10
11
00
11
10
10
11
01
11
01
10
01
10
10
00
10
10
10
00
00
10
10
00
10
11
00
00
11
11
10
10
01
10
10
00
00
10
00
00
10
00
00
10
10
00
00
11
10
01
10
00
10
10
00
00
10
10
00
00
10
10
00
10
00
00
10
00
10
11
00
10
00
00
01
00
00
00
10
10
00
00
10
00
00
00
10
01
11
00
10
00
00
11
00
10
10
10
01
01
01
11
01
00
10
11
00
01
01
10
10
10
10
11
00
00
00
10
01
01
11
01
10
11
11
10
00
10
10
01
10
10
00
10
00
10
11
00
01
11
11
11
11
00
00
10
11
01
00
10
10
10
00
01
01
11
01
00
10
10
01
00
10
00
00
10
00
01
10
10
01
10
11
10
01
00
11
10
01
00
00
10
10
00
01
00
10
10
10
00
10
10
10
00
11
11
00
01
01
01
00
00
10
10
01
00
00
00
10
01
00
00
01
11
10
11
00
00
10
11
01
10
11
10
00
10
10
01
01
11
10
10
10
01
11
01
10
10
10
01
00
10
11
00
10
10
00
10
10
00
00
00
10
01
01
10
11
11
00
10
01
00
00
10
11
10
10
10
10
00
10
00
10
10
00
10
01
10
01
10
10
10
10
11
01
01
10
00
11
10
00
11
10
10
00
00
10
00
00
01
10
00
11
00
01
00
10
00
01
10
00
10
10
11
10
11
00
00
00
00
00
01
01
11
00
00
00
10
11
01
00
10
10
10
10
10
10
01
00
11
10
11
10
10
01
00
11
01
11
01
00
10
10
10
10
00
00
11
11
11
11
10
00
10
01
01
00
10
10
10
00
10
01
01
10
11
01
11
11
11
10
10
00
00
10
10
01
11
01
01
00
11
00
10
10
10
11
10
01
00
11
00
10
00
01
01
11
11
01
00
11
01
01
00
10
10
00
11
11
10
00
00
00
11
00
10
00
11
11
11
10
00
00
01
01
10
10
00
11
10
11
00
11
11
00
11
10
00
01
00
01
10
00
10
10
10
00
10
00
10
01
00
01
10
01
00
01
01
10
10
11
01
00
10
11
00
00
10
01
01
01
11
10
00
00
10
10
10
00
00
00
10
10
10
10
11
00
00
10
11
01
00
00
00
00
10
01
11
10
10
00
01
10
10
00
01
01
10
11
10
00
10
11
00
01
10
10
00
00
01
10
00
01
00
10
10
00
01
00
00
10
10
10
10
00
00
11
10
00
00
10
01
00
10
11
01
11
10
00
01
01
01
00
10
10
00
11
10
00
00
00
10
00
10
11
10
01
10
00
10
00
11
01
11
11
00
00
10
10
00
01
10
11
01
00
00
00
00
00
00
10
10
10
01
01
00
01
11
11
00
10
00
01
00
10
11
00
10
01
11
11
01
01
10
11
00
00
00
01
00
10
10
00
10
00
00
00
00
11
10
11
00
00
11
11
10
01
10
11
10
00
11
01
01
10
01
00
00
10
01
00
11
00
00
00
00
10
00
10
10
11
10
10
10
01
00
01
00
10
10
10
11
00
01
00
00
01
10
10
00
10
11
01
11
11
10
00
00
01
00
00
10
10
10
00
11
10
11
11
10
01
00
01
00
11
11
01
11
00
01
11
11
10
10
11
00
00
10
10
10
00
00
11
00
11
11
01
10
00
00
10
10
00
11
11
00
01
11
10
10
01
11
10
00
01
00
10
10
11
10
10
10
00
00
11
10
00
11
00
00
01
10
00
01
10
01
01
10
10
01
00
11
00
01
01
11
10
00
10
11
00
00
10
10
11
01
10
10
00
00
01
00
01
11
01
00
00
10
00
10
10
10
01
11
10
11
11
10
10
11
10
00
00
11
10
00
10
00
00
11
10
11
00
10
00
00
11
00
10
10
00
11
01
00
00
00
10
10
00
00
00
10
11
10
10
00
10
10
10
01
00
10
00
10
10
00
10
11
10
10
00
10
00
11
00
00
10
11
11
11
00
00
00
10
01
11
10
10
10
00
00
01
00
00
11
11
01
00
10
11
00
00
01
11
11
00
00
11
00
10
00
11
11
11
01
00
00
10
00
01
00
10
10
11
00
00
00
10
01
00
11
00
11
10
00
10
00
00
10
10
01
00
10
10
11
01
01
10
01
00
01
10
00
00
11
00
00
01
10
10
01
10
11
01
11
00
11
01
01
10
10
00
10
11
00
01
10
00
00
00
00
11
11
00
00
10
11
10
01
10
01
01
10
00
00
10
10
11
00
01
10
01
00
10
01
00
00
10
10
10
00
10
01
10
10
00
00
01
00
01
10
11
11
00
01
11
11
11
00
00
01
10
10
00
00
11
00
01
00
10
00
01
11
11
00
01
11
10
01
10
00
01
00
00
01
11
10
10
01
10
11
00
01
00
10
11
00
10
00
00
10
10
00
11
10
01
11
00
10
00
10
00
10
10
00
00
11
00
10
01
00
10
10
01
10
01
00
10
00
01
00
01
10
10
10
01
01
01
00
10
10
01
10
11
00
01
10
11
10
00
00
01
01
11
10
01
00
10
00
10
10
01
00
10
01
10
10
00
10
10
00
00
01
10
00
01
11
00
00
00
10
00
00
10
00
00
11
11
10
11
11
00
11
10
10
00
01
10
10
00
00
00
00
10
10
10
00
10
01
00
01
10
01
01
01
01
11
00
00
00
10
10
00
00
10
11
01
10
01
10
11
01
00
10
00
00
10
10
00
00
01
00
00
01
00
00
00
00
00
11
10
00
01
10
01
10
00
01
11
10
01
00
10
00
10
11
00
10
10
10
00
01
00
01
10
01
10
01
10
10
00
00
10
11
11
11
00
01
00
11
01
00
10
00
10
00
11
10
00
00
01
10
00
10
10
10
00
00
10
10
01
00
11
00
11
10
10
00
00
10
11
00
00
10
10
11
10
00
10
00
01
01
01
00
11
00
00
10
10
11
00
00
11
00
10
11
10
11
00
10
01
10
10
11
11
00
10
11
10
00
00
11
00
10
00
01
00
01
00
11
01
00
10
10
10
00
00
01
11
10
01
11
11
00
01
00
10
10
10
01
01
11
10
00
10
11
10
00
00
11
10
00
11
10
10
00
00
00
00
00
10
00
01
11
00
11
11
00
00
10
00
00
10
11
01
11
11
10
10
00
00
11
10
00
00
00
10
00
00
11
01
00
10
11
01
00
10
01
00
00
01
10
10
10
00
10
00
01
00
11
00
11
10
11
11
10
01
00
10
00
11
11
10
00
00
00
10
10
00
01
10
10
00
00
11
10
00
00
10
11
00
01
10
11
00
11
01
01
00
10
00
01
10
01
01
00
00
10
10
00
00
00
11
10
00
01
00
10
10
01
10
00
00
00
00
10
10
00
00
10
00
11
00
01
10
00
00
10
00
00
10
10
11
00
10
10
00
11
10
01
01
00
10
01
11
10
00
01
00
00
11
10
10
10
00
00
11
10
00
10
11
00
11
11
10
01
10
10
11
11
10
00
11
11
11
00
00
10
00
10
00
00
11
11
00
10
11
10
10
00
10
11
10
10
00
11
00
10
11
11
01
00
11
00
00
00
10
10
01
00
01
01
10
00
01
00
11
00
00
00
00
00
11
00
10
11
00
11
00
10
10
10
10
10
10
10
11
11
11
01
00
00
10
11
11
00
00
10
11
10
10
11
10
10
00
00
00
01
00
00
10
00
01
10
01
00
01
10
01
00
11
10
00
10
10
00
11
11
00
10
10
10
00
00
10
10
10
10
01
00
10
00
10
00
10
11
01
00
10
00
11
00
10
10
11
01
00
10
10
00
01
00
00
00
10
10
10
11
01
01
10
01
00
00
10
10
11
10
01
01
00
11
10
10
10
00
00
10
10
00
00
10
10
00
01
00
01
00
10
00
10
11
00
00
00
10
01
00
01
10
00
00
01
01
11
00
00
00
00
00
00
01
10
10
00
00
10
10
01
10
00
11
00
01
10
11
10
10
10
01
00
01
11
10
10
10
00
01
10
10
00
00
11
10
11
01
01
10
01
00
00
01
00
01
10
01
10
11
11
10
01
10
00
11
10
10
00
00
00
11
11
01
11
11
00
11
00
01
10
10
10
01
10
11
10
00
10
11
00
01
01
11
11
00
11
01
00
01
10
10
01
00
00
11
11
11
10
01
10
01
00
01
00
10
00
00
10
10
00
00
10
11
11
11
00
10
10
00
01
11
11
01
01
00
00
10
10
11
10
00
00
11
10
01
00
11
11
00
10
11
10
01
01
10
00
00
00
10
10
00
10
11
00
10
10
10
00
00
01
00
10
11
00
10
00
00
01
01
10
10
10
00
10
01
01
11
10
10
01
11
01
00
10
00
10
10
00
00
00
11
10
11
10
11
00
11
10
00
01
11
01
11
00
00
01
11
10
00
11
11
10
01
01
10
00
00
01
11
01
01
10
11
00
11
10
00
01
11
11
01
00
11
10
00
00
00
00
01
10
10
10
11
00
10
00
10
11
01
10
00
00
11
10
11
11
01
00
11
01
01
10
11
01
01
00
00
00
11
01
00
11
11
10
10
10
10
10
10
00
11
00
10
00
11
00
10
01
00
00
11
00
10
00
01
10
00
10
11
10
00
00
11
11
00
10
01
10
00
11
10
01
01
10
10
11
10
01
00
10
00
11
10
10
10
01
00
11
10
01
01
10
00
11
10
00
01
10
11
10
10
10
00
00
01
10
10
11
00
01
10
00
00
00
10
10
01
00
00
10
11
00
10
11
10
10
10
01
11
11
01
00
00
00
10
00
00
10
10
00
10
00
01
00
10
00
00
11
10
00
11
11
00
11
10
10
00
01
10
10
10
00
01
00
01
01
00
00
10
00
10
00
10
10
11
00
10
00
11
10
01
01
00
11
10
11
10
00
11
11
01
01
11
00
11
11
00
01
10
01
10
11
00
00
00
10
11
01
01
10
11
00
01
11
10
10
10
01
00
10
00
10
00
00
01
10
01
10
10
00
00
10
10
10
00
00
11
10
01
10
00
10
00
10
11
00
00
01
11
10
00
00
10
10
00
10
11
11
00
00
00
01
00
00
10
11
10
11
00
00
01
00
00
11
10
00
00
00
11
10
00
00
11
10
00
10
01
00
10
00
10
10
10
10
00
01
10
10
11
10
10
10
10
10
11
10
10
00
01
11
10
10
01
10
00
00
10
10
01
00
00
01
10
00
11
00
00
10
01
11
10
01
11
00
01
01
01
10
10
01
10
10
00
10
10
00
01
00
11
10
00
01
00
00
01
10
11
01
11
10
10
00
00
00
10
11
00
11
10
00
11
00
00
11
01
00
01
01
11
10
10
10
10
11
01
00
10
10
00
00
11
11
01
01
10
00
11
11
10
00
00
00
10
01
01
11
00
10
10
10
00
00
11
10
00
01
10
11
00
10
00
11
10
11
10
00
01
00
10
11
10
00
10
01
10
10
11
10
00
10
11
00
00
01
10
10
00
00
01
11
00
00
10
10
00
00
10
11
10
01
10
00
00
00
10
10
10
00
00
10
10
00
11
00
00
10
00
10
00
00
11
00
10
10
00
01
11
10
00
10
11
10
01
10
10
00
00
10
10
10
01
01
10
00
00
00
00
00
11
00
01
01
10
10
10
10
01
11
01
00
10
10
01
00
10
11
10
10
00
00
00
00
00
10
10
00
00
10
01
11
10
01
01
10
10
10
01
10
11
01
00
00
00
01
10
00
10
11
11
00
10
11
01
11
00
00
01
00
10
11
10
01
11
11
11
00
10
10
00
10
00
00
01
11
00
00
11
10
01
00
10
10
00
00
10
00
00
11
11
11
10
00
01
11
11
01
01
10
10
01
11
10
10
11
00
00
11
01
10
00
11
01
01
10
00
00
11
10
11
10
00
01
01
10
10
00
01
00
11
10
11
00
10
11
01
10
00
00
01
11
00
10
11
01
10
11
01
10
00
10
10
00
01
10
10
00
00
00
10
10
01
11
11
10
01
10
00
00
10
10
00
11
10
11
11
00
01
00
11
11
01
01
10
00
01
11
00
00
10
10
10
01
10
11
00
01
11
10
00
01
00
10
00
11
10
10
00
10
01
00
10
10
01
10
11
00
00
01
00
01
11
11
00
00
10
01
10
10
01
11
11
10
10
10
00
00
01
10
10
00
00
01
10
00
11
00
10
10
01
00
00
00
01
00
10
10
11
10
00
10
10
01
01
01
00
01
10
10
00
11
00
00
00
11
10
10
10
10
00
10
10
00
10
00
10
11
00
01
00
00
10
00
11
10
01
00
11
10
00
00
11
01
01
01
11
11
01
00
10
00
00
10
10
01
10
11
10
00
00
01
00
10
00
00
00
10
00
10
11
01
00
10
10
10
00
10
11
00
11
11
00
11
11
11
01
01
11
00
00
11
10
01
00
10
00
10
11
01
11
10
00
10
10
00
11
00
00
10
01
00
01
00
10
10
01
00
00
00
11
00
10
10
11
10
10
10
00
10
10
10
00
00
00
01
01
00
11
10
00
10
11
10
10
00
11
00
01
01
10
10
00
10
01
00
10
10
10
00
11
10
11
00
00
00
01
10
01
00
10
10
00
11
00
01
11
10
00
11
00
10
11
00
10
00
00
10
01
01
01
10
11
10
00
10
11
01
00
11
10
11
01
10
00
11
00
01
11
10
11
01
00
11
10
00
00
10
00
11
11
00
10
01
11
01
11
01
10
00
10
11
10
00
00
00
10
01
10
00
10
10
10
00
10
01
00
10
01
11
01
11
11
00
10
10
00
10
10
00
00
00
00
00
00
10
10
01
11
00
10
00
10
00
10
10
11
10
10
00
01
01
00
10
00
11
00
01
11
01
00
01
10
11
10
00
00
01
00
10
00
00
00
10
10
00
11
10
10
00
01
00
10
00
00
10
00
11
10
11
10
01
00
00
00
10
10
00
00
10
01
11
10
11
00
10
11
00
00
10
01
11
11
00
01
01
00
00
10
00
11
10
00
10
11
00
00
01
00
10
10
00
10
11
11
00
10
11
10
00
00
11
11
00
11
11
00
11
01
00
10
11
01
00
00
00
10
10
01
11
01
00
00
01
00
10
00
01
11
00
11
01
00
01
01
11
00
01
10
11
10
01
00
01
00
11
00
00
11
11
00
01
01
11
10
10
01
11
00
10
00
00
11
01
10
10
00
00
00
00
10
00
00
10
00
10
10
00
00
10
00
11
01
00
00
10
00
00
00
10
10
10
00
00
00
11
10
10
10
10
01
00
10
00
10
00
01
01
01
10
11
10
11
01
10
10
01
01
10
01
00
10
00
00
11
10
00
00
10
10
01
11
00
01
01
00
11
01
10
10
01
00
10
00
01
10
10
10
00
00
11
10
00
00
00
00
10
10
01
10
11
11
00
10
10
10
00
00
11
10
00
00
01
10
00
10
11
00
00
10
00
00
00
10
10
01
11
10
00
00
10
10
11
01
00
00
01
01
10
10
00
10
11
00
10
00
11
10
10
00
00
10
00
01
10
01
11
10
00
00
10
11
11
00
00
10
01
10
11
00
01
00
10
10
00
01
11
10
10
00
10
00
00
10
10
00
11
10
00
00
11
10
00
10
10
10
01
00
01
10
01
11
11
11
00
10
00
10
10
10
10
01
01
10
11
11
00
11
01
00
10
11
00
00
10
11
10
10
11
10
00
00
00
01
00
01
10
10
00
00
00
00
10
10
10
00
11
10
00
10
01
10
10
00
00
00
01
00
10
10
10
10
00
00
00
00
00
10
00
00
01
00
10
10
11
00
10
00
00
11
10
10
00
00
11
10
10
00
01
00
01
11
10
00
01
01
11
11
00
01
10
01
10
10
10
00
00
10
11
10
01
00
00
11
10
00
00
10
10
10
00
01
11
10
11
00
10
11
10
00
00
00
10
11
10
01
00
00
00
00
00
10
00
00
00
11
00
00
10
10
00
00
00
10
10
00
10
00
00
01
10
10
01
01
00
00
01
10
10
00
01
10
00
00
01
01
11
10
00
11
00
10
10
01
00
00
00
10
00
10
00
00
00
11
00
00
00
10
10
00
11
11
10
01
10
00
01
10
11
00
11
10
10
01
01
00
10
10
01
10
00
01
10
11
10
10
10
10
00
10
10
01
00
00
11
01
11
11
10
00
00
00
00
00
10
11
00
00
00
10
00
01
01
11
01
01
10
11
11
10
11
11
00
00
01
00
11
10
01
11
01
01
11
01
10
11
00
00
00
00
11
10
00
00
00
10
00
00
10
00
00
00
11
00
00
01
00
00
10
11
11
00
00
00
00
01
10
10
11
10
10
01
00
00
00
00
10
01
00
00
01
10
00
10
01
00
00
00
10
10
00
00
11
10
01
00
11
00
00
10
01
00
11
00
11
00
01
10
11
10
00
10
01
10
10
00
00
10
10
00
11
11
00
10
01
10
00
10
00
01
00
11
10
00
11
10
10
10
00
00
00
10
00
10
10
00
00
00
10
00
00
11
10
11
01
01
00
10
01
00
00
10
10
10
10
00
00
00
00
10
00
00
00
11
00
10
00
01
01
00
10
01
10
01
01
10
01
11
10
00
00
11
00
00
10
00
10
11
11
00
01
11
11
10
10
01
10
10
00
10
10
01
01
10
01
00
00
00
10
00
10
10
01
01
11
10
10
00
01
10
01
01
10
10
00
00
00
00
10
11
10
01
00
11
01
00
10
11
01
01
01
10
10
00
00
00
10
00
01
00
00
00
01
10
01
01
10
11
11
11
00
00
11
01
00
10
00
01
00
10
10
01
00
10
11
10
00
00
00
01
10
10
00
11
10
10
01
00
10
11
10
00
10
11
11
00
10
11
00
11
01
10
00
00
10
01
10
11
10
00
00
00
10
11
00
01
00
00
10
00
00
00
00
10
11
11
00
01
10
00
11
10
10
10
10
00
10
10
00
00
00
11
00
00
11
01
00
01
01
10
10
00
01
00
01
10
10
00
10
00
01
10
10
10
00
10
00
11
11
10
10
00
00
10
00
01
00
01
11
01
11
10
10
10
10
00
01
11
10
10
00
10
10
10
01
00
01
01
11
01
01
01
00
10
00
01
10
11
00
11
11
10
10
00
01
11
00
01
01
10
10
00
10
11
10
00
00
00
00
10
01
10
10
00
01
10
10
01
10
10
01
10
10
11
01
00
10
11
00
01
00
00
10
10
00
01
11
10
10
11
00
00
00
10
10
10
01
00
10
10
00
00
10
10
00
00
00
00
00
10
10
11
00
10
11
01
11
11
00
10
00
10
10
10
00
00
01
00
00
10
00
10
00
00
01
01
11
01
10
11
10
00
00
10
10
11
11
10
10
00
00
10
00
00
10
01
10
00
00
01
10
11
01
01
10
10
00
10
00
01
00
10
01
10
10
01
00
00
10
01
10
00
10
10
10
10
00
01
10
01
01
00
01
01
00
11
00
00
10
01
00
10
00
00
00
11
11
10
00
00
10
01
10
10
00
01
01
00
11
00
10
11
10
11
00
00
10
10
10
00
10
10
01
11
00
10
10
00
00
10
10
00
10
10
11
01
00
00
10
11
10
10
01
01
10
10
01
10
10
11
11
01
00
10
11
11
10
10
11
00
10
10
00
01
10
00
00
11
11
10
10
01
00
11
00
11
10
00
10
10
10
10
00
00
00
11
00
10
11
10
01
10
01
00
10
10
10
00
00
10
00
01
10
11
10
00
00
11
10
00
00
10
00
11
00
10
10
11
00
10
00
10
10
01
00
10
10
00
00
00
00
00
10
01
11
10
11
01
00
01
00
01
10
11
10
10
10
00
01
10
00
00
00
10
01
10
10
11
10
11
00
10
10
00
00
01
10
10
00
11
00
11
10
01
00
00
01
11
00
00
00
10
01
11
11
11
00
10
00
10
00
01
11
11
10
11
10
10
10
00
10
10
00
00
01
10
10
11
00
11
00
01
10
00
01
11
10
00
10
11
01
00
00
10
10
00
10
00
10
00
01
01
00
11
11
00
00
10
10
01
00
10
00
00
10
10
00
01
11
10
00
10
11
01
01
00
10
11
10
10
10
11
10
01
10
00
00
10
11
10
00
00
11
00
00
00
11
10
01
11
00
11
10
10
11
10
00
11
11
00
11
11
00
00
01
00
10
10
00
01
01
10
00
01
10
10
00
00
10
10
01
01
00
10
11
10
11
00
00
11
10
00
01
00
10
10
00
00
10
00
10
01
00
11
10
01
00
01
00
01
11
11
00
00
11
00
00
10
10
00
10
00
01
10
01
01
10
01
10
10
00
11
10
00
10
01
01
10
00
10
11
10
01
01
10
10
10
00
00
10
11
00
00
10
01
00
11
10
01
01
00
10
10
10
00
01
11
10
01
00
11
01
11
10
00
00
10
01
00
11
00
00
10
01
10
00
00
10
00
10
01
01
11
00
11
00
00
11
01
11
11
00
01
10
11
00
10
00
01
00
01
01
10
10
00
10
11
01
00
00
10
11
10
01
11
10
00
11
10
00
10
01
01
00
01
00
00
10
10
11
01
00
10
01
01
01
00
00
00
00
11
11
01
10
10
00
10
11
11
00
01
00
11
11
00
10
10
10
00
00
00
01
00
11
00
01
10
11
00
01
10
10
10
10
10
10
00
00
01
10
01
01
00
00
00
10
11
10
00
01
11
00
01
11
11
01
11
10
10
00
00
00
11
10
10
00
01
10
11
00
00
10
11
10
00
01
10
01
10
11
10
11
11
10
00
01
00
01
00
11
00
00
11
11
10
01
11
10
00
10
00
00
10
11
10
00
00
10
01
00
00
11
10
10
10
01
10
10
01
00
11
00
00
10
00
11
10
10
01
00
01
00
11
00
10
00
01
01
01
00
10
10
10
10
10
01
00
01
10
01
10
00
00
10
01
00
10
11
11
11
10
00
10
00
00
10
00
10
01
00
11
00
10
01
11
00
10
10
10
00
00
11
01
01
10
10
11
10
00
11
10
01
01
00
00
10
00
10
11
00
00
00
10
00
10
00
10
10
01
00
11
00
00
00
10
10
01
00
01
00
11
00
11
10
01
00
10
10
01
00
10
01
01
00
10
10
00
00
10
01
10
11
00
01
00
10
10
00
01
10
10
00
00
11
11
11
01
11
00
10
00
10
10
00
00
10
00
00
10
00
00
00
01
10
00
10
10
10
01
11
11
10
00
00
11
00
00
10
11
00
01
10
10
10
10
11
10
10
01
10
10
10
10
01
00
10
10
00
00
01
10
00
10
00
00
00
00
11
10
10
00
10
11
11
11
01
01
10
10
00
00
10
10
00
00
00
01
11
10
01
00
10
10
00
00
01
00
00
10
00
10
10
11
00
01
10
00
11
01
01
10
11
00
01
10
01
10
11
00
00
11
00
10
01
10
10
01
00
11
10
10
10
00
01
10
00
01
00
10
11
10
00
01
00
11
00
10
10
00
01
11
00
01
00
11
01
10
10
00
00
11
01
00
10
11
01
10
11
00
00
11
11
10
10
00
00
11
10
01
10
00
01
00
10
00
00
10
00
10
10
00
00
10
11
00
11
11
00
11
11
01
01
00
11
11
00
10
01
00
11
10
00
00
00
01
10
11
10
11
11
00
10
00
10
10
00
00
11
10
00
10
00
00
11
00
01
10
10
01
00
01
10
01
00
11
10
00
10
10
10
10
01
00
10
01
01
11
10
01
01
11
01
00
00
10
10
01
00
01
10
10
10
11
00
10
01
00
10
11
10
00
00
00
10
00
01
00
10
00
00
00
10
10
00
10
11
10
10
00
00
10
00
10
10
00
01
00
10
00
00
10
00
00
10
10
00
10
10
11
10
10
01
10
00
00
00
00
00
01
10
00
10
01
10
00
00
11
01
10
01
01
01
00
01
00
10
00
01
00
11
10
11
10
01
00
11
01
10
11
00
10
10
01
00
11
10
00
10
11
01
10
10
00
10
00
00
01
10
10
00
00
10
11
10
11
01
11
11
01
00
11
01
00
10
00
11
01
10
10
10
00
00
11
00
11
00
00
11
10
10
01
00
10
10
00
10
00
00
01
00
11
10
11
00
10
01
10
10
00
00
10
10
00
00
00
10
10
10
10
00
00
00
11
00
10
00
10
10
11
10
00
00
11
10
10
01
00
00
00
01
10
00
00
01
10
10
01
11
10
10
11
01
00
10
10
00
00
10
10
00
00
10
10
11
01
11
01
01
10
00
00
01
10
10
00
01
10
00
01
11
00
10
01
10
10
10
10
00
01
10
10
01
00
00
10
00
01
00
10
10
10
00
01
00
00
00
10
10
10
10
10
10
10
10
10
00
01
00
00
00
11
00
00
10
10
00
00
00
11
10
00
00
10
00
11
10
10
10
00
10
01
00
01
11
10
00
00
10
10
10
10
01
00
00
11
01
10
10
01
10
10
01
00
11
10
00
10
00
01
00
10
10
10
10
01
00
11
10
10
00
00
11
11
11
00
00
00
10
10
00
10
11
01
00
01
00
01
00
11
10
10
00
00
01
10
00
11
00
01
10
01
10
00
00
01
00
00
10
11
10
00
00
01
01
10
10
00
00
00
11
10
10
11
01
10
00
10
00
00
11
00
10
11
00
01
00
10
10
00
00
01
10
10
00
01
00
11
01
01
00
00
00
00
01
10
00
00
01
00
11
00
10
10
00
00
10
01
10
01
00
10
00
10
10
10
10
10
00
01
00
00
10
11
00
11
00
01
00
10
11
00
00
01
01
00
11
01
10
11
10
10
10
10
01
00
10
11
00
10
10
01
10
01
11
00
10
01
10
10
00
00
00
10
10
01
10
10
11
00
01
11
01
10
00
11
11
10
01
10
10
00
00
10
10
10
11
01
00
00
00
10
10
01
11
10
00
00
10
11
11
01
10
10
10
10
10
11
00
00
01
00
10
01
10
00
00
10
11
10
00
10
11
00
01
01
00
01
10
11
00
00
00
10
11
00
00
10
00
11
10
10
00
00
00
00
00
10
01
01
11
00
00
01
10
10
10
00
00
10
00
11
00
11
00
00
11
11
00
10
10
00
10
10
10
11
00
01
00
11
00
00
11
11
00
01
11
10
10
10
01
10
11
01
10
00
10
01
10
00
01
10
11
01
10
11
11
00
01
01
01
11
10
01
00
00
11
10
00
00
11
00
01
00
11
00
11
00
10
10
00
11
11
00
00
10
00
00
10
10
01
11
00
10
00
01
11
01
00
11
10
00
01
00
10
00
00
10
01
11
01
01
10
10
10
10
00
00
11
10
01
00
11
10
10
00
10
00
00
00
10
01
00
11
11
10
00
00
00
10
10
10
00
00
11
01
00
01
01
01
10
10
10
00
01
00
00
11
11
00
10
11
01
10
00
10
10
10
10
10
10
10
01
00
00
10
10
00
00
00
10
11
11
10
01
00
10
10
10
01
11
11
11
11
01
11
10
11
10
01
10
10
00
01
00
00
11
10
00
01
00
10
10
00
00
00
11
10
11
10
10
00
01
10
10
00
10
11
01
01
10
10
10
11
01
01
00
10
01
00
00
10
00
00
01
00
10
11
11
10
10
00
11
10
00
10
01
10
10
11
00
00
10
00
00
10
10
10
11
00
11
00
00
11
00
10
00
01
11
11
00
01
00
01
00
10
10
00
00
01
10
10
10
11
10
00
00
00
10
10
11
01
00
01
11
10
10
10
01
00
11
11
11
00
01
00
10
10
00
10
01
01
00
00
11
01
00
01
10
10
11
00
10
11
00
11
00
00
11
01
00
10
00
00
11
10
00
00
11
10
11
10
11
00
00
00
11
00
01
10
10
10
10
10
00
11
10
00
00
10
10
01
01
00
00
11
01
00
00
11
00
00
11
11
11
01
01
00
01
10
10
10
01
00
00
11
10
00
10
00
11
01
10
10
00
00
01
00
10
10
00
00
00
10
10
11
01
00
00
10
00
10
10
10
01
10
00
00
00
11
11
00
00
10
10
00
00
01
01
10
11
00
00
10
11
10
00
00
01
11
11
10
11
11
01
00
00
10
10
10
00
01
11
10
01
00
10
00
01
00
01
00
10
00
01
11
00
00
10
11
00
01
00
11
10
11
00
10
01
01
01
11
01
00
00
00
10
01
10
11
01
00
11
11
00
11
00
00
10
11
00
10
00
00
10
01
10
01
00
01
01
10
00
10
00
00
11
11
00
11
00
00
01
10
10
00
00
10
10
11
01
01
11
10
00
10
10
00
00
00
10
10
11
11
01
00
10
00
11
00
10
10
00
00
11
01
10
00
00
01
11
01
01
11
10
11
01
01
11
00
00
10
00
00
10
11
10
10
01
10
01
01
00
01
01
10
10
00
00
11
00
00
10
00
10
00
01
10
00
10
10
11
00
00
00
10
00
10
10
00
01
00
00
11
00
10
00
00
10
10
00
00
01
10
10
00
01
00
00
10
11
10
11
10
01
01
10
01
10
01
10
11
01
01
01
10
00
01
00
11
10
00
00
10
10
10
00
01
00
01
01
01
10
00
10
10
11
00
00
10
01
10
10
00
01
00
10
00
01
11
10
01
00
00
11
10
11
10
10
01
10
01
01
00
11
00
00
10
10
00
01
10
11
10
00
00
00
00
00
00
10
10
01
10
10
11
11
00
00
11
10
11
00
01
01
10
10
10
00
01
01
01
11
10
10
10
01
10
00
00
10
10
10
00
10
10
00
00
00
10
00
00
11
11
00
00
11
11
00
01
10
00
11
10
00
10
10
00
00
00
01
00
10
00
01
00
10
10
00
10
00
11
10
11
10
00
00
10
00
01
00
10
00
10
00
10
10
11
10
00
00
10
10
00
11
01
10
10
00
01
10
01
00
10
11
00
10
00
10
10
10
11
10
10
00
00
10
00
10
01
01
11
10
10
11
11
11
00
01
10
00
10
00
01
10
11
00
10
10
11
00
10
11
01
10
00
11
11
11
00
10
11
00
01
10
01
00
11
01
10
01
01
00
00
00
10
11
10
10
01
10
11
10
00
00
00
00
01
10
11
10
11
10
10
01
00
01
10
10
00
11
00
00
10
00
00
11
00
00
01
01
01
10
00
11
10
00
10
00
00
00
00
10
00
10
10
00
00
01
10
01
00
00
10
00
10
11
10
00
10
01
00
01
10
11
10
00
10
10
01
01
00
10
11
01
11
10
10
10
01
10
10
00
01
10
01
10
01
10
00
11
00
00
10
01
11
01
10
10
11
11
10
01
00
11
11
01
01
00
01
10
10
10
01
10
10
01
00
11
10
10
00
10
00
11
10
00
11
10
00
10
00
10
00
00
10
11
00
11
10
10
10
00
00
10
01
00
00
01
10
10
10
10
10
10
01
01
00
00
00
10
00
00
10
10
11
00
11
00
00
10
00
11
01
11
10
01
01
10
10
00
10
10
01
10
00
00
01
10
11
00
01
00
01
01
10
01
00
11
00
01
10
00
00
10
10
01
01
11
10
10
00
10
01
10
10
01
10
00
00
10
10
10
11
10
00
10
00
01
10
00
00
00
10
10
11
10
11
01
01
11
10
00
10
00
00
00
11
10
01
01
01
10
00
00
10
00
10
01
10
01
00
10
01
00
00
11
00
01
10
11
10
00
00
11
10
10
00
00
10
00
00
11
10
11
01
00
00
01
11
11
11
11
11
00
00
01
10
10
11
01
10
10
00
01
00
10
00
00
10
00
11
01
00
10
10
01
10
10
11
00
01
00
10
10
10
00
11
11
10
00
10
01
10
01
00
10
00
01
00
10
10
01
11
11
10
11
00
00
10
01
00
11
10
01
01
10
11
00
11
10
00
00
10
00
00
01
11
11
01
00
10
11
00
00
10
10
00
00
00
10
00
01
10
00
00
11
10
01
11
00
10
00
10
10
10
00
01
10
10
00
11
00
01
10
01
00
10
00
00
11
10
11
10
00
10
00
10
10
00
00
01
11
00
01
00
00
01
10
00
11
11
11
10
00
01
10
01
01
10
00
00
10
00
10
00
00
11
11
00
01
11
00
00
00
10
00
01
11
10
00
00
10
10
01
00
11
00
00
10
00
10
10
00
01
10
10
10
01
01
11
01
11
00
10
10
10
10
00
00
01
11
00
11
10
10
10
10
00
01
11
11
11
00
00
00
11
10
00
00
00
01
00
10
00
10
10
00
00
00
00
00
11
00
10
00
10
10
00
11
10
11
10
11
10
00
00
00
00
11
01
01
10
00
00
10
10
10
00
01
10
10
10
00
00
11
10
00
11
10
01
11
00
11
10
11
01
11
10
01
11
11
10
10
01
00
10
00
00
10
10
11
01
00
11
00
11
00
00
11
01
10
11
11
00
00
11
01
01
10
10
01
00
10
11
10
01
10
10
00
10
00
00
10
10
10
10
10
00
00
00
00
01
00
00
10
01
10
11
00
11
10
10
10
00
00
10
00
00
10
00
00
01
01
00
01
00
11
00
00
00
01
00
11
01
10
01
00
10
11
10
01
00
10
11
00
11
01
01
11
11
10
00
00
01
10
11
11
00
10
10
10
10
00
00
00
11
10
11
11
10
11
10
00
10
01
00
10
00
01
10
10
10
00
00
01
00
11
00
10
10
00
00
00
10
10
00
00
00
10
11
00
10
00
10
00
00
01
10
11
01
10
01
00
00
10
01
01
11
10
01
00
11
10
11
11
00
00
10
11
10
00
00
00
11
10
00
00
00
10
01
00
10
00
00
10
10
11
00
10
10
11
10
10
10
00
10
10
01
00
10
10
11
00
10
10
00
10
11
01
00
00
11
01
01
10
10
01
10
10
01
10
10
01
00
11
01
00
00
00
10
00
00
10
10
00
10
00
11
10
00
10
11
01
00
01
10
00
10
00
01
11
10
00
00
10
10
00
00
10
10
00
00
00
10
10
10
11
10
00
10
11
00
11
10
10
10
10
00
10
00
00
10
10
00
00
11
10
11
10
01
01
11
10
10
10
00
10
10
01
00
10
11
00
11
00
00
11
00
10
11
10
00
01
11
01
11
00
10
10
10
01
01
10
00
00
00
11
10
11
11
10
10
10
00
01
00
00
00
11
10
10
11
00
11
10
10
10
10
10
01
01
10
01
00
11
10
10
01
01
11
11
01
00
00
10
10
11
00
00
10
00
00
10
00
11
10
10
01
10
00
11
01
01
11
00
00
00
10
00
11
11
00
00
10
11
01
11
00
10
10
10
10
10
01
00
10
00
10
01
00
00
00
10
11
11
10
11
10
01
00
11
00
00
10
11
00
01
00
11
11
10
11
00
01
10
10
01
11
10
01
00
00
10
10
11
10
00
10
10
00
00
00
10
00
01
00
00
00
10
10
01
10
00
00
10
10
11
10
10
00
01
11
00
10
11
10
00
00
01
01
10
00
00
11
11
10
10
10
00
00
00
11
10
11
00
00
01
10
10
10
10
01
00
01
01
10
10
10
10
00
01
10
10
11
10
11
10
00
00
11
10
00
00
00
00
00
11
11
11
00
10
11
01
11
10
00
01
10
10
10
00
00
00
00
11
00
10
10
00
00
10
10
11
11
11
10
10
10
10
00
10
00
00
10
01
10
11
00
00
00
00
10
00
11
10
10
00
10
10
11
10
10
10
10
10
01
00
10
10
01
00
10
10
10
10
11
00
01
00
10
00
01
10
11
10
11
01
10
10
00
11
11
10
01
11
00
11
00
11
10
11
10
01
10
01
00
10
11
10
01
01
01
10
00
00
10
10
00
00
10
10
00
11
00
10
11
00
10
00
00
01
10
11
00
00
00
10
10
01
10
11
11
00
01
10
01
00
10
10
01
10
01
00
11
01
01
00
10
10
00
10
11
11
00
11
10
00
10
10
10
00
00
10
11
10
11
10
01
01
01
10
00
00
10
00
00
00
00
10
10
10
10
11
11
10
10
00
00
11
11
00
01
00
11
11
10
00
11
11
00
10
10
00
10
01
10
11
01
11
01
00
00
00
11
11
00
10
10
00
00
11
11
10
01
00
10
00
10
11
10
01
10
11
10
01
10
00
01
00
10
00
00
11
00
01
10
11
11
01
10
00
00
10
00
00
10
10
00
00
10
10
00
11
01
11
10
10
00
10
00
11
11
01
01
11
10
00
00
01
11
10
01
10
00
11
10
00
00
10
01
10
11
11
01
00
01
00
00
11
11
00
10
11
00
00
01
10
01
11
00
00
00
11
11
10
01
10
01
01
11
00
10
10
00
10
10
00
10
10
01
01
00
10
10
10
10
00
10
00
00
00
01
11
00
01
11
11
10
10
01
00
01
10
11
10
00
00
01
01
10
11
01
10
10
01
10
10
11
00
11
10
00
11
00
01
00
10
01
10
00
10
00
00
10
11
11
10
00
00
00
10
00
01
10
01
01
10
11
11
10
00
10
10
00
01
11
00
00
10
00
10
11
00
10
01
10
11
01
01
01
01
10
00
11
11
01
01
11
10
10
00
11
10
00
00
10
10
10
00
11
11
00
00
10
10
00
10
10
00
00
01
01
10
10
01
11
10
10
01
10
01
00
10
00
00
01
10
00
00
10
10
10
10
11
01
01
11
10
00
01
10
01
10
10
01
10
10
01
00
11
01
10
00
00
00
11
11
00
10
10
00
11
00
11
00
10
00
01
01
10
01
00
11
10
01
00
01
00
10
00
11
10
10
10
01
01
10
10
01
00
00
00
10
00
10
10
00
01
10
10
01
10
01
11
10
01
10
10
00
01
10
00
11
10
10
01
00
11
10
00
00
00
10
10
00
00
00
00
10
00
10
01
01
00
11
10
10
00
00
10
00
10
10
00
11
10
00
00
10
10
01
10
11
01
00
10
10
00
01
10
00
10
00
10
10
00
10
00
11
00
10
00
11
10
01
10
00
10
01
00
01
01
00
10
11
10
00
01
10
10
00
10
10
01
01
10
11
00
01
10
10
00
10
00
10
00
00
10
10
10
00
00
11
10
10
10
10
00
10
11
01
00
01
00
10
11
10
10
00
10
11
10
00
01
11
11
01
10
11
11
00
10
11
00
01
00
10
01
01
00
00
11
11
00
00
10
00
00
00
10
00
01
01
01
00
00
10
00
00
11
00
11
10
00
00
10
00
00
01
10
11
00
00
00
00
00
01
10
10
01
00
00
10
10
10
11
10
01
00
11
10
11
00
00
10
01
11
11
00
00
11
10
01
00
10
11
10
10
11
00
00
10
10
01
00
00
11
10
10
10
00
00
01
00
01
10
01
10
10
01
01
10
10
00
10
10
00
00
10
10
10
00
10
00
10
10
00
01
11
10
11
00
00
11
11
00
01
10
10
00
10
10
00
11
00
01
10
00
10
01
11
00
00
11
00
01
00
00
10
10
01
11
00
10
11
00
00
10
11
10
10
00
11
00
01
01
11
10
10
10
10
01
01
10
10
01
10
01
10
11
00
01
11
10
10
01
10
01
10
11
01
10
10
00
10
11
01
10
00
01
10
11
10
10
01
10
10
10
00
01
10
01
01
10
00
00
00
10
00
00
01
10
01
00
00
10
01
10
10
01
00
11
00
11
00
10
00
00
11
10
10
00
10
10
01
01
00
00
10
10
10
11
00
00
00
00
10
00
01
10
01
11
00
00
10
11
01
00
11
10
10
00
00
01
10
10
01
11
10
11
00
01
00
11
01
11
00
01
10
10
00
01
10
10
00
01
11
10
10
00
01
10
10
00
00
10
11
00
00
10
00
01
00
01
11
10
01
00
00
00
10
10
10
00
00
10
00
00
00
01
11
01
01
00
01
11
10
10
10
00
01
00
11
11
01
01
01
11
10
00
10
01
01
10
11
10
00
10
11
00
00
00
10
10
00
01
00
00
10
10
00
00
00
10
11
10
00
10
10
00
11
11
00
01
10
10
01
10
10
01
00
11
00
00
10
00
01
00
00
11
00
11
10
11
00
10
01
01
10
10
10
10
11
00
11
01
10
01
01
10
00
00
00
00
11
01
00
10
10
00
10
10
10
00
00
01
00
00
00
10
01
00
11
11
00
00
10
10
01
01
10
00
10
11
11
11
01
00
01
11
11
11
10
00
00
00
10
10
01
00
00
00
01
00
10
00
00
11
11
11
10
00
00
11
10
10
11
01
00
11
01
00
00
11
10
00
00
10
10
00
10
10
10
00
10
00
10
00
00
11
01
11
10
00
10
01
00
01
00
00
10
00
10
10
11
01
10
01
10
01
00
11
00
10
11
00
11
10
10
01
00
01
11
10
00
00
10
10
10
00
00
01
11
10
10
10
10
01
01
10
00
01
00
00
11
11
00
10
10
10
10
10
11
11
01
01
00
10
01
00
11
10
00
00
10
10
10
10
10
10
10
00
00
00
01
11
00
11
10
00
10
10
01
00
11
00
00
00
11
01
10
10
10
01
10
10
00
00
10
00
11
11
01
11
11
01
10
11
00
01
10
00
00
10
11
10
00
01
00
01
01
01
10
10
01
10
11
10
10
01
00
00
00
00
10
00
00
10
10
00
01
10
01
10
01
11
10
01
00
11
11
10
00
00
10
10
11
01
00
10
00
00
00
10
10
00
00
11
10
10
11
11
10
00
00
11
10
10
01
11
10
00
11
01
10
11
00
10
00
00
00
10
10
10
11
10
01
00
01
00
00
00
00
10
11
10
00
11
10
00
01
00
11
00
01
11
01
00
10
01
00
01
10
10
00
00
00
10
10
00
11
00
11
11
11
10
11
00
10
10
00
10
10
00
00
10
11
00
00
10
11
10
11
10
00
00
11
00
10
01
10
01
00
10
00
10
10
00
10
00
00
10
00
11
11
00
01
11
10
00
01
10
10
00
11
11
01
10
01
10
10
00
01
00
11
11
01
00
10
11
11
00
00
00
10
00
01
10
01
10
10
01
01
10
10
00
10
11
10
01
00
10
10
01
10
10
11
00
00
10
11
00
00
10
00
10
11
01
11
10
01
10
01
10
10
01
00
00
10
10
11
11
01
00
10
00
10
01
00
01
11
01
10
10
11
11
10
00
00
10
11
00
00
11
10
11
00
10
00
01
10
00
01
10
00
10
00
11
00
01
00
00
11
10
00
00
10
10
11
00
00
01
10
10
00
01
10
11
00
10
00
01
10
11
00
00
00
11
00
00
01
11
11
10
00
11
00
01
00
00
11
10
01
11
00
00
01
00
00
00
00
11
11
00
11
00
00
10
00
00
01
10
10
00
10
10
01
00
01
00
11
01
11
10
00
10
00
10
10
01
10
10
00
01
01
11
00
11
10
00
00
10
01
00
11
00
10
10
00
10
10
10
00
10
10
00
10
10
10
10
00
10
10
00
10
00
11
11
11
10
00
00
01
01
00
00
11
11
01
10
10
00
00
10
01
00
10
01
00
01
10
10
00
01
10
01
10
11
10
01
00
10
10
01
01
00
10
11
00
01
00
11
10
10
01
11
10
10
00
00
00
11
10
11
00
00
00
11
10
00
10
10
01
10
00
01
01
10
10
11
00
00
01
00
11
01
00
11
10
10
00
00
01
01
01
10
10
01
10
01
11
01
00
00
00
11
00
10
01
10
00
01
11
10
00
00
10
01
00
11
00
00
01
11
11
01
11
10
10
10
01
01
11
00
01
11
10
10
00
10
11
10
00
00
00
10
00
00
00
00
11
10
01
00
00
10
00
00
00
00
11
10
10
11
11
00
10
10
00
00
10
10
01
10
10
10
00
10
10
01
10
10
10
00
01
00
01
11
01
01
00
10
00
11
11
10
11
00
01
11
10
00
00
10
11
00
01
10
00
01
00
10
10
00
00
10
10
00
01
00
01
01
00
11
10
11
11
00
01
10
00
10
10
10
00
01
10
10
00
11
00
10
11
01
10
10
00
00
10
10
00
10
00
10
11
11
11
00
11
10
11
00
10
10
11
11
10
01
01
00
10
00
10
01
00
10
10
01
00
11
10
00
10
10
01
00
11
10
10
10
00
01
01
01
11
00
01
00
10
10
00
00
10
00
00
10
10
01
00
00
00
11
00
01
00
00
10
00
10
11
01
00
00
10
10
11
11
10
00
00
11
01
10
00
10
00
11
11
00
10
00
00
00
00
11
01
01
01
10
11
10
10
10
01
00
10
11
00
11
00
00
11
00
11
00
00
10
00
00
10
11
00
00
10
10
01
10
00
00
11
10
01
10
10
01
11
11
00
01
10
01
01
00
10
11
00
01
10
10
00
00
11
00
01
01
10
11
00
10
01
00
10
10
00
00
01
00
10
10
00
10
10
01
00
01
11
00
10
10
11
11
01
11
10
00
00
11
01
10
00
00
00
10
01
01
10
10
01
10
00
00
11
10
00
00
10
00
10
10
00
10
10
10
00
01
00
11
10
00
00
00
01
11
10
11
00
11
00
10
00
00
10
11
11
00
00
10
11
10
11
01
01
11
10
01
01
10
11
10
00
01
10
10
00
01
10
10
10
01
10
00
00
11
00
11
10
10
10
11
00
01
10
10
00
10
10
00
11
10
10
00
00
01
01
10
11
11
01
11
10
00
10
10
00
01
10
10
00
00
10
00
00
10
00
01
01
00
00
00
00
10
10
10
10
11
00
00
10
01
00
00
00
10
10
00
11
01
10
10
01
01
10
10
10
10
00
10
00
00
10
10
00
01
10
10
00
00
00
00
10
11
00
10
01
00
11
10
01
00
10
00
00
11
11
00
01
10
01
11
00
10
11
00
00
10
00
00
01
10
10
10
00
00
10
11
01
00
10
01
01
10
10
10
11
11
00
00
00
11
00
10
10
11
00
00
01
10
00
01
01
00
01
10
10
00
00
11
10
10
00
10
00
01
10
10
00
00
01
01
10
00
10
10
00
11
10
00
01
00
11
10
10
00
00
10
10
10
01
11
10
00
10
10
01
10
11
11
00
10
10
00
01
01
10
10
00
01
00
10
11
10
11
00
01
00
00
10
10
10
00
00
10
10
00
00
11
11
00
11
10
10
01
00
10
10
00
00
00
11
00
00
10
10
00
10
11
01
00
00
00
10
01
01
10
11
10
00
00
00
10
10
01
00
01
10
00
11
11
00
00
00
10
00
00
10
10
00
00
01
10
10
10
00
10
00
00
10
00
00
00
00
10
00
11
00
00
10
10
00
01
00
10
01
00
11
10
10
00
10
01
00
10
11
01
00
11
01
10
10
00
00
01
10
11
10
10
00
00
00
11
00
00
00
10
01
00
00
11
11
00
10
00
01
00
10
10
00
00
00
01
10
11
00
00
00
11
11
10
11
01
00
10
11
11
10
01
11
00
00
10
00
01
01
10
10
01
01
00
00
11
00
00
10
01
11
11
01
10
00
00
01
00
00
11
10
01
10
00
00
00
00
11
10
11
10
00
00
00
10
11
01
01
11
00
01
10
11
10
01
01
11
00
00
11
11
00
00
00
10
10
10
01
10
00
11
01
10
01
00
10
00
01
00
00
00
10
10
11
00
10
10
00
10
10
00
00
10
00
00
10
10
01
00
10
10
00
10
00
00
00
00
11
10
10
10
00
10
00
00
10
10
00
01
00
00
11
00
01
00
11
11
01
00
11
01
00
01
00
10
11
10
10
10
00
00
00
00
11
10
11
10
00
10
00
00
00
00
10
10
00
00
10
01
01
00
10
10
00
01
10
11
11
10
00
01
01
00
10
10
11
00
00
01
10
11
00
00
01
10
00
00
01
10
11
10
00
01
00
00
00
10
10
10
10
11
00
10
10
10
10
00
11
11
10
00
00
00
00
00
11
11
01
00
10
00
11
10
01
00
11
00
01
10
01
10
00
00
10
00
10
00
11
10
10
00
00
00
00
00
11
10
00
00
01
11
00
01
10
11
11
00
10
11
10
00
10
10
01
00
00
10
00
00
10
11
10
01
11
00
00
10
00
11
00
01
10
00
10
00
01
00
11
10
01
11
10
00
00
00
10
00
00
00
01
11
01
11
10
00
11
10
00
10
10
00
00
00
00
00
10
00
00
11
01
10
10
10
00
00
11
00
11
10
11
10
10
00
10
00
01
01
10
01
01
10
11
00
00
10
10
11
00
01
10
01
11
11
00
11
01
01
00
10
10
01
01
11
00
01
10
00
00
10
01
00
11
10
10
11
00
00
00
10
01
00
00
10
10
00
11
11
10
00
00
00
00
01
11
10
10
01
00
10
00
11
11
00
11
01
00
11
10
11
01
10
01
10
10
00
01
11
00
00
10
00
11
10
01
11
10
00
10
01
01
11
11
10
01
00
00
10
00
10
10
00
00
00
00
00
11
01
10
10
01
00
00
00
10
00
01
00
00
01
10
00
01
10
11
10
10
00
01
11
10
11
00
01
11
00
01
11
00
00
10
11
00
11
10
11
01
00
11
00
11
00
10
11
00
00
10
00
00
10
11
11
10
00
10
11
00
01
10
00
00
10
00
00
10
10
01
01
00
01
00
11
10
10
01
00
01
01
00
10
00
10
00
00
10
10
11
00
00
01
01
10
10
01
01
10
11
11
00
01
10
01
10
11
00
11
00
01
00
10
01
01
10
10
00
00
00
10
11
00
10
10
00
01
10
11
10
10
00
11
01
00
00
10
00
01
00
11
10
00
01
00
10
00
10
00
00
10
10
10
10
10
01
10
01
00
10
10
10
11
00
10
10
10
11
10
00
01
01
00
11
01
00
10
00
10
11
11
00
00
00
00
10
10
11
01
10
10
00
11
10
00
00
10
10
01
00
10
11
00
10
00
00
00
00
00
11
00
00
00
11
10
11
00
00
10
00
00
00
01
10
00
00
01
00
00
11
10
10
10
01
10
11
10
00
10
00
01
10
00
00
00
00
10
00
00
11
10
01
00
00
10
01
01
11
00
00
10
11
10
10
10
00
10
10
10
00
11
10
10
01
10
10
00
01
00
01
01
10
00
00
01
10
01
00
11
01
11
00
11
10
00
00
00
00
01
00
00
01
00
11
10
01
11
11
01
10
11
10
01
01
10
10
10
01
00
00
11
10
11
00
11
01
00
11
00
01
10
10
01
00
10
10
01
01
10
00
00
01
11
10
01
10
10
10
10
00
11
10
00
11
01
00
10
11
01
10
10
01
00
00
11
10
11
00
00
00
00
01
11
10
00
00
01
01
00
10
10
10
00
00
00
00
10
11
00
11
00
11
00
01
10
10
01
00
00
00
00
00
11
00
00
00
01
10
11
10
00
00
10
11
10
11
00
11
10
10
10
00
11
10
11
00
00
10
00
01
00
00
11
10
00
01
00
10
00
01
00
10
00
11
00
11
11
00
10
11
01
01
11
01
01
10
11
11
10
01
00
11
01
10
10
10
00
00
00
00
00
10
00
10
10
01
10
11
11
10
10
00
00
00
01
10
11
10
10
10
00
01
10
10
00
11
10
00
10
01
00
00
10
10
11
00
01
10
00
00
00
00
00
00
11
01
00
11
10
11
00
01
10
10
00
11
00
01
00
00
00
10
10
00
00
00
11
00
01
10
01
10
00
00
00
11
00
01
10
10
10
11
11
01
10
10
10
11
00
10
10
00
00
11
10
00
00
00
01
10
10
00
10
00
01
01
01
10
10
01
11
10
00
10
10
10
10
00
10
11
00
00
10
00
11
00
00
01
00
10
10
10
10
10
01
01
11
10
11
01
00
00
10
01
00
10
11
10
00
00
10
01
00
11
01
00
10
10
10
00
10
00
00
11
00
01
00
01
10
00
10
10
01
00
11
00
10
01
11
01
01
00
01
11
10
00
10
11
11
10
01
10
10
10
11
01
10
00
01
10
01
00
11
00
10
10
00
00
10
00
11
10
10
01
11
00
01
11
00
00
00
10
00
01
10
11
00
10
01
00
00
10
10
00
11
10
01
11
11
00
00
00
11
10
00
01
10
01
10
10
00
11
00
01
10
10
11
10
00
00
00
11
00
00
10
10
11
11
10
00
00
00
10
10
00
10
10
10
00
01
01
01
11
10
01
11
00
00
10
11
00
00
10
00
10
01
00
11
01
01
10
00
00
10
10
11
11
00
10
10
10
11
00
00
01
10
00
01
10
10
00
11
00
01
11
10
10
00
10
10
11
01
01
01
11
11
00
00
10
11
01
10
10
01
01
00
11
00
00
10
10
10
10
01
01
11
11
00
10
10
00
11
10
00
00
10
10
00
10
10
00
00
00
00
10
11
01
00
00
00
00
10
10
10
01
11
00
00
10
10
00
00
10
01
10
00
11
10
01
00
01
11
10
11
00
01
10
00
11
10
10
11
00
01
00
00
10
01
00
10
00
00
11
01
00
00
10
01
10
11
00
00
10
10
00
11
10
00
10
00
01
00
00
10
11
10
10
11
10
00
01
00
00
00
10
10
10
01
00
11
01
00
10
01
00
00
10
10
01
10
00
10
01
10
11
00
01
10
10
01
10
10
00
00
10
11
10
00
10
10
00
01
00
11
10
00
11
00
00
00
10
10
00
10
10
11
01
00
00
10
10
10
00
10
00
00
11
00
01
11
11
00
10
00
01
01
10
10
00
01
10
01
10
11
00
01
10
11
01
00
10
00
00
11
01
00
11
00
10
11
00
01
10
11
00
11
10
10
00
00
00
00
01
01
11
11
10
11
01
11
11
01
00
10
01
10
00
01
11
10
00
01
00
01
10
10
00
00
01
11
10
00
00
10
10
10
00
10
10
00
01
10
10
00
01
11
00
10
11
00
00
00
10
00
10
01
00
00
01
11
00
10
10
00
00
10
10
01
00
10
01
00
11
10
00
10
00
00
10
00
00
11
00
10
01
10
00
01
00
10
11
01
00
10
10
00
10
10
10
00
10
01
01
00
10
11
00
00
10
01
00
10
10
00
10
00
11
10
10
11
11
10
00
11
00
01
10
00
00
11
00
11
00
00
00
10
10
01
10
10
11
00
00
01
01
10
00
11
10
10
01
00
10
10
10
10
10
01
00
01
10
01
10
10
11
10
00
01
10
00
11
10
11
10
11
01
01
10
10
00
01
10
00
10
10
00
10
00
00
00
11
00
10
00
00
11
01
10
10
11
00
01
01
10
01
00
11
11
10
01
10
10
00
00
10
10
11
00
00
00
10
00
10
00
01
10
00
00
00
11
00
10
10
00
10
00
00
10
01
00
01
10
01
00
11
00
11
10
00
01
00
01
11
00
00
10
00
10
11
00
11
11
01
11
10
01
00
10
11
00
11
10
00
00
10
00
00
01
10
10
01
01
11
00
00
01
10
00
10
11
10
00
00
10
11
00
10
10
01
00
11
00
00
00
11
00
10
10
01
00
00
10
00
00
01
10
00
10
11
00
11
00
11
00
10
00
01
10
11
00
01
10
10
01
00
11
00
00
11
01
00
00
11
11
00
10
10
10
00
10
00
01
10
10
00
10
00
10
10
00
00
00
11
00
01
10
10
00
10
10
10
10
00
00
11
01
10
10
01
00
00
10
11
00
00
00
11
11
01
01
10
10
01
10
01
10
10
00
00
00
00
10
10
00
01
10
11
10
11
10
00
00
01
01
00
00
10
11
00
00
10
11
00
00
00
00
11
11
01
00
10
11
01
10
01
01
01
10
10
10
00
10
10
10
11
10
01
11
10
00
00
10
10
10
00
00
10
10
11
10
10
11
00
10
01
11
01
00
11
10
01
00
00
00
10
10
01
00
10
10
00
01
10
11
01
10
11
11
00
01
01
10
10
01
00
10
00
00
10
00
10
00
00
00
10
00
10
10
01
00
11
10
10
11
10
00
10
10
00
00
11
00
00
00
10
10
11
10
00
10
11
11
11
11
01
10
10
00
10
11
01
01
10
10
11
00
10
10
11
00
01
10
10
10
11
11
00
01
01
00
10
10
01
00
00
10
00
00
10
00
10
01
00
10
00
10
10
00
01
11
11
10
00
00
10
00
11
10
01
00
11
00
10
01
00
01
10
11
01
11
10
00
10
10
11
01
10
10
10
10
00
10
10
00
00
11
11
10
00
00
00
00
10
10
00
10
00
10
11
11
10
00
01
01
10
01
11
10
10
00
10
00
00
11
00
10
11
10
10
10
10
10
00
10
00
10
11
01
10
10
01
11
11
10
00
00
11
11
11
01
00
10
00
10
11
10
01
01
11
01
10
11
00
01
10
00
00
10
10
00
11
10
01
00
10
10
10
01
00
10
10
10
00
10
10
10
11
00
00
00
10
01
11
01
00
00
10
10
10
00
01
11
11
00
01
01
10
01
01
00
10
11
00
11
00
00
10
10
10
00
00
10
10
00
00
10
01
10
10
00
00
00
11
10
00
00
10
10
01
00
10
10
01
10
00
01
11
00
10
00
11
00
11
01
01
11
10
10
11
00
00
11
10
00
00
10
01
00
01
10
11
00
01
10
11
10
10
00
00
00
10
01
00
10
11
00
00
00
00
10
10
10
00
00
11
00
10
00
11
00
00
00
11
10
00
11
10
10
11
10
00
00
00
00
10
00
01
10
01
10
10
10
00
11
11
10
00
10
10
00
01
10
00
01
01
00
00
00
11
10
01
01
00
00
01
10
11
10
01
00
00
01
00
00
00
10
10
11
10
01
01
01
10
00
00
11
10
01
01
11
01
00
00
01
10
11
10
00
00
00
01
10
01
10
10
10
00
01
10
10
01
00
11
10
00
10
01
00
00
01
01
01
10
10
10
01
01
00
11
10
00
10
11
00
00
10
10
10
10
10
10
10
11
00
11
00
00
10
10
10
10
11
10
10
00
00
10
10
01
00
01
10
10
01
10
10
10
00
01
11
10
10
10
00
00
00
10
10
01
10
10
01
00
10
00
01
01
10
00
00
10
11
11
10
01
00
00
10
11
00
10
10
00
01
01
10
10
10
11
00
10
00
01
01
01
11
10
10
00
00
11
00
00
10
11
10
00
00
11
00
11
10
01
00
01
01
01
01
10
01
00
00
10
10
00
10
11
00
11
10
11
00
10
10
01
00
10
00
01
10
11
01
10
11
10
10
00
01
10
00
10
10
01
10
10
00
10
10
10
10
00
01
00
00
00
10
10
10
01
00
11
10
00
00
11
00
10
10
11
10
01
00
10
10
00
11
00
11
11
11
10
01
01
11
00
01
00
10
10
00
11
01
01
10
10
11
01
10
00
01
10
11
10
10
01
10
11
01
10
10
00
00
10
01
00
10
01
01
00
10
00
11
10
00
10
00
10
10
01
10
10
01
01
10
11
01
01
01
00
11
10
10
10
10
01
00
00
00
11
00
10
00
00
01
10
00
10
01
11
11
01
10
01
11
01
10
10
01
11
00
11
10
00
00
10
11
11
10
01
00
10
00
10
10
00
10
10
00
00
10
00
00
00
00
01
01
00
00
00
11
00
00
10
10
00
00
00
00
00
11
10
00
11
10
10
00
10
10
10
10
00
10
01
11
10
00
11
01
10
00
00
11
11
01
00
01
00
11
00
10
11
00
11
10
00
11
00
00
00
10
10
00
01
00
11
00
00
10
10
10
11
10
10
11
00
01
10
00
00
11
10
11
10
00
01
00
11
01
01
10
10
10
10
00
01
11
00
11
10
10
00
10
10
11
01
01
11
10
11
01
00
00
00
10
10
10
00
11
10
01
11
11
00
01
00
10
10
00
11
00
00
10
00
00
10
10
01
10
01
00
01
00
00
01
00
10
10
00
00
01
10
10
10
00
00
10
00
00
10
00
11
10
11
01
01
10
01
00
00
01
10
00
01
00
11
10
10
00
10
10
00
11
11
10
10
00
10
00
10
00
00
10
10
10
10
01
00
11
10
00
01
01
10
01
10
10
00
11
01
00
10
11
10
11
10
01
11
00
00
00
10
11
01
11
11
10
00
10
11
11
00
00
00
00
00
00
10
10
00
10
00
10
10
00
11
10
00
10
10
00
10
11
11
00
00
00
10
10
01
01
11
10
01
10
00
11
10
00
00
10
11
10
10
10
01
00
00
00
01
01
00
10
01
11
10
10
10
00
11
01
01
10
00
11
01
11
10
01
00
00
10
00
10
11
00
01
11
00
00
00
00
11
11
01
11
11
10
00
00
01
00
10
10
01
01
10
10
00
11
00
11
00
10
11
00
01
10
10
10
01
10
00
00
11
00
00
01
10
00
00
01
11
00
11
00
01
10
11
11
00
00
10
10
00
00
00
10
00
00
00
10
10
10
11
00
10
00
00
11
00
10
00
10
10
00
01
00
00
10
10
11
10
00
00
10
10
10
00
01
00
11
11
10
00
00
00
01
00
11
10
10
11
11
10
00
10
01
10
10
00
00
11
01
11
11
10
10
01
10
10
00
01
00
11
10
11
10
10
01
00
10
10
10
00
11
00
10
00
01
01
00
10
00
10
10
10
01
01
11
10
00
10
11
00
00
00
01
00
11
00
10
00
00
11
10
10
00
01
10
01
01
10
10
00
10
10
11
00
00
01
00
10
00
00
10
00
01
10
11
00
10
10
11
10
00
00
11
10
01
01
00
10
10
11
10
00
00
01
00
00
10
11
00
10
10
10
01
10
10
00
00
01
00
01
11
01
10
10
01
00
10
10
00
01
10
10
01
10
11
11
10
01
10
11
00
00
11
00
00
10
10
00
10
10
00
10
00
11
00
00
10
01
11
00
01
11
01
11
00
01
10
00
10
10
00
01
00
11
10
00
10
00
01
10
00
01
11
01
01
00
00
10
11
01
00
10
10
00
11
11
00
10
11
00
01
10
11
00
10
00
01
10
10
01
00
01
00
01
11
10
01
00
11
10
00
00
01
10
11
00
01
10
00
10
11
01
01
00
11
10
00
11
11
10
00
10
11
10
01
00
10
10
10
00
11
10
00
00
11
11
01
01
10
11
00
10
01
01
01
10
00
00
10
10
10
01
10
11
10
00
00
00
00
00
10
10
11
11
01
10
10
00
10
00
10
11
10
00
00
11
00
10
11
11
11
01
10
11
00
10
11
00
00
01
10
10
01
10
01
10
00
10
11
10
01
00
10
10
00
10
11
10
00
10
10
00
10
01
01
11
11
01
10
01
00
10
11
01
01
10
00
01
10
01
10
10
01
10
00
10
11
00
00
00
10
10
11
00
01
00
11
10
11
10
10
01
00
00
10
10
00
11
11
00
01
11
00
10
10
10
10
00
00
10
00
01
10
10
11
10
10
01
10
10
10
10
00
00
01
00
00
10
01
11
00
10
10
00
00
10
10
00
01
11
00
00
10
10
00
10
11
01
01
10
11
00
00
10
10
01
00
00
11
10
01
10
00
11
10
10
11
00
00
00
01
10
01
00
10
10
10
10
00
00
11
10
00
10
00
00
11
01
00
00
10
10
00
10
10
00
00
11
01
11
01
00
10
01
00
10
00
00
11
10
01
10
00
01
00
11
00
01
10
10
00
10
01
10
11
01
10
00
11
10
10
00
00
01
00
10
10
10
00
00
00
10
11
01
11
00
11
11
00
11
00
10
01
00
11
00
00
10
00
00
00
00
11
10
01
01
00
00
01
00
11
01
00
10
10
00
10
10
01
00
00
01
00
00
10
10
00
01
11
11
11
01
11
10
10
00
10
00
01
00
10
10
10
00
10
10
01
10
10
00
01
00
00
10
10
00
10
01
10
10
10
00
10
10
10
00
10
11
00
10
01
11
00
11
10
01
00
10
00
01
11
10
10
00
10
10
01
01
10
01
10
11
00
10
10
10
01
00
00
10
10
00
10
01
00
01
00
01
00
10
00
00
10
10
00
00
01
10
10
10
10
01
00
10
10
10
01
00
00
00
10
10
01
11
11
00
00
10
00
10
10
00
01
00
10
11
01
01
10
00
10
01
01
11
01
01
00
01
11
01
00
10
10
01
00
10
01
01
00
00
00
10
10
00
10
11
01
11
01
00
00
00
01
00
00
01
11
00
10
10
00
00
10
10
00
01
00
00
11
00
00
10
00
11
01
10
00
10
11
01
00
10
00
10
01
10
11
10
11
00
01
00
10
10
11
00
00
00
10
00
00
00
01
00
10
11
10
10
01
00
10
10
00
10
11
00
01
01
10
00
00
10
00
11
10
11
10
01
11
11
00
00
00
01
11
01
10
01
00
00
01
10
11
00
00
00
01
00
01
11
11
10
00
00
11
10
00
00
10
00
00
10
11
01
00
00
00
01
00
00
10
00
00
01
10
10
10
10
00
11
01
00
00
00
01
01
00
00
10
11
00
01
11
10
11
10
00
00
10
10
00
00
11
01
10
10
00
11
11
00
01
10
01
00
00
00
00
00
10
01
10
10
10
00
00
00
11
10
00
01
10
00
11
11
00
11
00
01
10
11
01
01
11
10
00
00
00
10
10
01
10
00
00
11
11
11
11
11
10
00
00
01
10
00
00
10
10
10
10
00
00
10
00
00
00
11
11
00
00
01
11
10
00
00
10
10
10
00
00
10
11
01
10
10
00
11
10
10
11
01
00
10
01
00
00
01
00
11
00
10
00
10
10
10
10
00
01
10
10
10
00
11
01
01
11
11
01
01
10
11
00
01
11
10
00
00
11
10
00
00
11
10
00
11
00
11
00
11
10
00
00
00
00
11
01
01
10
11
10
01
00
10
11
00
11
10
00
00
10
10
10
10
01
10
11
00
00
00
11
11
11
00
01
00
10
10
11
11
00
11
11
01
00
10
00
00
10
11
11
01
01
10
00
10
00
10
01
00
10
11
00
11
00
10
11
10
00
00
00
11
10
10
01
11
11
01
00
10
10
01
11
01
10
00
10
00
10
10
01
10
11
00
01
00
01
10
00
00
10
10
00
10
10
00
00
00
00
01
10
11
01
10
00
10
01
00
01
11
10
10
00
10
00
00
10
01
00
01
11
00
00
00
00
10
10
01
00
01
10
01
00
01
11
10
10
00
11
00
10
10
00
00
10
10
00
00
01
00
11
10
01
01
01
10
10
00
00
01
11
10
00
10
00
11
11
11
10
10
00
11
00
01
10
11
01
00
10
11
00
10
01
01
10
00
10
10
11
11
00
00
10
10
11
11
01
00
00
10
10
00
10
00
01
10
10
10
11
10
01
00
00
01
10
00
11
01
00
00
01
10
10
00
00
00
11
01
10
11
00
01
10
11
11
10
10
00
00
10
01
00
00
11
01
00
10
00
10
00
10
00
10
00
10
10
10
00
00
10
00
00
01
10
00
00
10
10
10
10
11
00
10
00
10
00
00
00
00
00
00
00
10
01
01
01
00
01
00
01
01
00
01
11
11
10
10
01
00
11
00
10
11
11
00
00
01
00
10
01
11
10
00
00
00
00
00
10
00
00
11
01
11
00
01
10
11
11
11
10
11
10
01
01
00
00
00
10
11
10
00
11
10
00
00
10
10
10
01
00
11
11
00
00
10
00
10
10
00
10
10
00
00
00
00
10
01
11
11
10
00
11
00
01
10
01
00
11
01
00
00
10
00
01
01
10
00
00
00
11
10
10
10
00
01
01
00
00
00
00
00
10
10
11
00
10
01
00
11
01
00
10
00
11
10
11
00
01
10
01
10
10
10
11
11
00
11
11
01
01
00
00
00
01
11
00
01
10
00
00
11
00
10
11
00
01
00
10
01
10
10
10
00
10
10
00
00
00
10
00
11
00
00
01
00
10
00
00
10
01
01
11
00
11
10
10
00
10
00
00
01
10
10
10
11
00
11
11
01
00
10
00
11
11
00
11
10
11
00
00
10
10
00
10
10
01
01
10
11
01
00
00
00
11
11
10
01
11
11
00
11
00
00
11
11
00
00
01
01
10
11
00
10
00
01
10
10
10
01
00
00
00
10
10
10
10
00
11
01
00
00
00
11
01
00
10
10
00
00
10
00
00
10
00
00
10
00
00
01
11
00
00
10
00
01
00
11
00
10
00
01
00
10
10
00
10
10
11
00
11
11
00
00
00
00
00
01
10
10
00
10
00
00
10
11
10
00
00
00
10
10
01
10
11
01
01
10
01
01
00
01
00
10
10
10
00
11
01
01
11
11
00
11
10
00
00
00
11
10
10
01
11
10
10
00
01
10
01
00
11
10
10
10
10
01
10
10
01
01
11
01
01
11
00
01
10
10
01
00
10
11
01
10
10
10
10
01
00
00
01
11
10
10
10
01
10
00
00
10
00
00
01
01
00
01
10
10
11
00
01
00
10
10
00
10
01
10
10
10
11
01
10
10
00
10
00
00
10
10
10
00
10
10
10
01
01
01
00
01
01
00
10
10
01
01
11
10
00
00
10
00
10
11
01
11
10
00
00
00
10
00
10
10
00
00
10
01
00
11
00
10
11
10
10
11
10
00
10
10
01
00
10
11
10
10
11
00
10
11
10
01
11
10
01
00
10
10
01
10
10
01
00
10
10
01
00
00
10
00
10
01
10
01
01
10
10
00
01
10
10
01
00
10
10
10
11
11
11
01
01
11
11
00
00
10
10
00
00
10
10
01
00
00
00
10
10
01
10
01
10
10
00
11
10
01
10
11
01
10
01
01
11
00
00
11
11
00
10
00
00
00
10
11
11
00
00
10
00
01
10
10
01
00
11
00
10
00
00
10
10
00
00
00
10
00
01
10
10
10
10
10
01
11
10
10
11
00
10
11
00
00
10
10
00
00
10
00
01
11
01
00
01
00
01
00
01
10
10
00
00
00
01
01
01
10
01
10
10
10
01
01
01
11
10
01
00
00
11
11
00
10
01
00
10
00
10
01
11
10
01
11
10
01
01
11
11
01
00
10
01
10
01
10
10
01
10
00
00
11
10
00
01
10
11
01
10
01
10
00
00
11
01
10
01
00
11
10
01
11
00
01
10
01
10
10
01
01
10
00
00
11
01
00
01
10
11
10
10
00
11
10
10
01
10
00
01
10
10
10
00
00
10
00
10
10
00
00
00
00
10
10
00
00
10
00
00
10
10
11
01
00
11
00
10
11
11
11
00
00
11
11
10
11
11
01
00
01
10
10
00
11
11
00
11
01
10
00
01
10
10
10
11
00
00
00
11
01
10
11
00
10
00
10
10
10
00
00
10
11
10
00
00
01
10
01
01
00
01
10
10
10
00
00
10
10
11
10
10
01
00
11
11
00
10
00
00
00
11
10
11
01
01
11
00
00
10
00
00
11
00
10
11
10
01
10
01
00
11
10
01
00
10
01
10
01
01
10
11
11
00
01
00
10
10
10
00
00
01
10
10
00
01
11
00
01
10
00
00
10
00
01
10
10
10
10
00
00
11
00
00
10
10
00
11
01
01
01
10
10
00
10
00
00
10
10
10
10
00
00
00
10
10
10
11
10
11
00
11
00
11
00
10
11
00
01
10
00
00
10
00
00
10
11
10
00
10
00
11
10
10
00
10
00
10
11
00
10
11
10
11
00
01
10
10
01
10
10
10
10
00
11
00
00
01
01
11
10
10
00
00
00
10
01
11
10
10
01
11
01
11
00
00
01
10
10
11
00
00
10
00
00
00
00
10
00
11
10
10
00
11
00
01
00
01
10
00
00
11
10
10
00
00
01
00
01
00
01
10
10
10
00
00
10
11
01
00
10
10
00
01
11
11
11
00
01
00
11
10
01
01
00
11
10
11
01
10
10
00
00
11
10
00
10
01
01
00
00
10
11
00
00
00
10
10
00
00
00
00
01
11
00
00
10
11
11
10
10
01
10
10
00
00
00
00
11
10
10
00
11
00
00
10
10
00
10
01
00
00
00
11
10
10
11
01
00
10
00
11
10
01
00
10
10
01
10
00
00
11
00
01
10
11
01
10
10
10
10
00
10
00
00
00
00
10
10
11
00
00
11
00
10
10
01
00
10
01
00
00
10
10
10
10
10
00
00
00
11
11
00
00
10
01
10
10
11
11
01
00
00
00
11
10
00
10
10
11
01
01
00
10
00
11
00
00
11
00
00
11
00
10
00
00
00
11
10
11
01
11
00
10
10
11
10
00
00
10
10
10
10
00
10
01
01
00
11
10
10
10
00
01
10
11
00
10
00
01
11
01
00
11
11
00
10
11
00
01
00
10
11
10
11
01
00
00
10
11
10
10
10
10
10
10
00
01
10
00
10
10
11
00
00
00
11
10
00
10
11
00
11
01
10
01
01
00
00
10
11
00
01
10
10
10
11
10
01
10
00
10
10
11
10
01
11
00
10
10
00
01
00
11
10
01
10
00
10
10
01
00
10
11
00
00
00
00
10
00
00
00
00
11
10
00
00
11
00
11
00
01
11
01
01
11
01
11
10
01
00
10
00
00
10
10
10
01
00
01
00
00
10
10
10
00
00
10
10
11
00
11
10
10
01
10
10
10
10
01
10
11
11
11
11
00
00
00
10
10
01
00
10
00
00
10
10
10
01
00
01
10
11
10
00
01
01
00
10
10
10
00
00
00
11
11
10
11
01
01
00
00
10
01
10
10
10
01
11
10
00
01
01
10
10
00
00
00
01
00
11
11
10
10
10
00
01
10
10
00
10
10
01
01
11
00
10
00
00
01
01
10
01
11
10
01
10
11
00
00
11
00
01
10
11
10
11
11
00
01
11
10
00
00
10
11
11
00
11
10
01
11
10
01
00
00
00
10
01
11
00
00
11
00
10
01
00
10
11
01
00
10
00
01
10
00
01
11
01
00
11
10
10
11
01
11
11
10
01
11
10
11
00
00
01
01
11
00
00
10
11
01
01
00
10
00
00
00
00
10
00
00
01
00
01
01
11
00
11
10
11
10
01
00
10
11
00
11
01
11
10
11
10
11
01
00
10
10
00
00
01
10
00
01
11
11
10
00
11
10
00
10
11
00
11
01
01
10
10
00
11
00
00
00
00
00
10
11
10
10
00
01
01
10
10
11
10
01
00
10
00
00
00
01
01
10
11
01
10
10
10
10
00
10
01
01
10
11
01
00
10
10
10
00
01
10
00
00
10
00
01
00
10
00
00
11
01
10
01
00
10
01
10
10
10
00
00
10
00
00
00
11
10
10
00
10
11
00
01
00
01
00
10
11
00
10
10
01
00
10
10
00
10
11
01
01
11
01
10
11
00
01
00
10
00
00
10
00
10
11
00
00
10
00
00
00
11
10
10
00
00
10
10
00
11
01
00
00
10
10
10
01
01
01
11
10
10
01
00
10
00
01
10
10
00
10
00
10
01
00
00
00
10
10
00
00
10
00
11
10
01
10
00
01
01
01
01
11
00
00
11
00
00
10
11
01
10
00
10
10
10
01
00
00
10
10
00
01
01
10
00
10
11
10
00
01
10
10
00
00
10
11
00
00
10
11
01
00
01
00
00
11
10
10
00
11
00
01
10
10
00
01
11
00
11
10
01
00
00
00
01
00
10
00
10
11
01
00
01
00
11
01
10
10
11
01
10
01
00
10
10
10
10
10
10
10
10
10
00
00
00
10
00
11
00
11
00
01
01
11
11
01
10
00
11
11
10
00
11
10
10
00
00
11
11
00
00
10
10
01
11
11
10
00
11
10
01
00
01
00
10
11
01
10
10
10
10
01
10
11
00
00
11
10
10
01
10
11
10
00
00
10
10
00
00
10
01
00
01
10
00
00
10
01
01
11
10
10
01
10
00
10
11
01
01
01
10
01
00
01
00
10
10
00
00
00
00
10
10
11
00
10
00
01
10
10
11
11
01
10
10
01
10
10
00
00
10
00
10
01
10
11
10
10
10
00
11
11
01
01
11
10
01
00
10
11
10
00
00
00
10
10
00
10
00
11
01
10
01
00
00
11
11
01
00
00
10
10
01
11
11
00
10
01
00
11
00
10
11
10
11
00
11
11
11
00
00
10
10
01
01
10
01
10
01
01
10
00
10
00
01
10
10
10
00
00
10
10
00
10
11
00
01
10
00
00
10
11
00
00
10
10
00
00
01
10
11
01
10
11
11
01
00
10
10
10
00
01
10
10
00
01
10
10
10
00
01
10
00
10
01
00
11
10
10
01
00
00
00
00
00
11
11
10
00
11
00
10
00
00
00
11
01
10
10
10
11
00
11
10
10
10
00
11
10
10
01
00
01
10
10
01
10
11
00
11
10
10
00
01
00
11
10
00
10
01
00
11
00
00
11
00
10
00
00
11
00
11
10
01
10
00
11
10
11
00
00
10
10
00
01
00
01
10
10
00
10
01
10
10
01
00
10
10
10
00
01
10
10
10
00
00
10
10
00
00
11
00
10
10
00
00
00
10
10
00
10
01
01
00
11
01
11
11
10
10
10
01
00
01
00
10
10
00
10
10
11
00
11
11
10
01
10
00
00
00
00
00
10
10
00
10
01
10
10
01
00
00
11
11
11
10
10
00
00
00
00
00
10
10
11
10
00
10
00
10
00
00
00
01
11
10
00
00
10
00
10
10
11
11
01
01
10
10
10
10
00
10
01
01
11
01
11
00
11
11
11
00
00
10
00
11
10
10
00
10
10
00
10
00
10
10
00
00
01
11
01
00
10
11
10
00
10
10
00
00
10
00
01
01
10
11
00
11
00
10
00
11
00
00
11
10
11
10
11
11
01
10
10
01
00
11
10
11
00
00
11
01
01
00
10
11
01
01
00
10
10
00
00
10
10
01
01
10
10
01
00
00
10
01
10
00
00
10
00
00
01
10
10
00
11
00
00
10
01
10
10
10
10
00
00
00
10
00
01
10
01
10
11
01
10
00
01
10
11
00
01
10
10
01
11
10
00
10
11
00
10
01
01
10
10
10
01
11
10
00
00
01
00
10
10
00
00
10
00
01
00
00
10
00
10
01
01
10
11
00
01
00
10
11
00
10
10
00
00
01
11
00
11
01
10
11
11
00
00
01
11
10
00
00
10
11
00
00
00
10
10
00
00
10
00
00
11
00
10
10
00
01
11
10
10
11
10
11
00
00
00
11
11
00
00
11
00
10
00
10
00
11
11
01
10
01
11
01
00
11
00
00
00
10
10
00
10
10
10
01
10
01
10
00
00
10
00
10
00
10
00
00
10
00
10
01
00
01
11
01
10
10
00
10
01
10
00
01
00
10
00
01
10
00
00
10
11
10
11
00
11
00
00
00
10
10
01
11
01
00
10
10
01
01
10
11
00
10
10
00
10
00
00
10
01
11
10
11
11
00
10
00
10
01
01
11
11
10
10
00
10
10
00
01
10
11
01
10
10
01
10
00
00
10
10
01
11
11
01
10
00
00
00
10
10
10
00
00
11
11
10
01
10
00
01
00
00
01
11
11
01
01
10
10
10
00
10
11
00
00
10
01
00
00
00
10
00
00
01
00
00
10
00
01
10
10
00
01
00
10
00
00
01
10
11
01
00
10
00
00
11
01
10
01
10
10
10
01
10
10
00
00
11
10
00
00
10
01
10
10
10
11
00
01
00
01
01
00
10
11
00
11
11
11
01
01
00
10
01
00
10
11
01
00
10
00
11
11
10
01
10
10
01
11
01
01
01
11
10
01
00
10
11
01
00
10
00
00
11
00
01
11
10
01
00
00
00
11
10
10
01
01
00
11
00
10
10
01
00
11
10
00
01
11
01
00
00
10
11
01
01
00
00
11
10
10
00
11
10
01
00
01
00
11
00
10
00
00
10
00
01
10
10
11
10
10
00
00
11
00
10
10
00
10
00
11
10
11
10
00
00
00
10
10
00
00
10
10
00
01
11
11
11
10
11
00
01
10
00
00
11
00
10
11
10
01
00
00
10
01
00
10
11
00
11
10
00
00
10
10
10
10
10
10
01
01
11
11
10
01
00
10
10
10
00
00
10
10
00
00
10
01
10
01
00
10
10
11
11
10
11
01
00
00
10
01
00
00
00
00
00
10
00
01
10
11
11
00
00
01
01
01
10
10
10
00
10
10
00
01
10
10
00
00
00
01
10
10
11
10
00
10
00
00
01
01
10
10
00
00
10
01
01
10
01
10
10
11
10
10
00
10
10
00
01
10
00
10
00
10
10
00
00
00
10
11
10
11
11
11
00
11
00
10
01
00
01
01
11
11
10
00
00
00
10
00
00
10
10
00
01
11
11
10
01
00
10
01
00
10
10
00
00
10
00
01
10
10
11
00
10
00
00
11
11
11
01
00
10
00
01
00
00
10
10
10
00
11
10
00
00
10
10
00
11
10
10
10
10
00
00
10
01
11
00
00
11
11
01
10
10
00
01
00
01
10
10
10
01
00
11
10
00
10
10
11
10
00
00
10
00
00
00
00
10
11
11
10
00
01
00
00
11
00
11
00
10
10
00
00
01
10
10
01
10
01
10
01
00
01
01
01
11
10
11
10
10
10
00
00
01
00
10
11
10
00
01
10
10
10
10
00
10
01
00
11
00
10
11
01
01
10
01
00
10
10
00
11
00
11
00
01
10
01
01
10
11
01
10
00
11
10
10
01
00
00
10
10
00
10
11
00
10
10
00
01
10
00
01
11
01
00
01
11
01
00
10
00
00
10
11
10
10
10
00
10
10
00
01
10
00
10
00
10
01
10
00
10
10
01
00
11
10
11
10
00
11
00
01
10
10
11
00
00
10
00
00
11
10
10
10
00
00
11
10
00
10
10
00
10
10
00
00
11
10
10
00
11
01
10
00
11
00
01
01
11
10
00
00
10
11
01
00
10
10
01
00
11
00
01
01
00
10
11
01
00
10
01
01
11
10
10
10
00
10
01
10
11
11
10
00
11
00
01
01
11
00
10
00
00
00
10
11
10
00
00
10
10
11
00
11
10
00
01
10
00
00
11
11
00
00
01
11
01
10
10
00
10
10
10
10
01
01
11
10
11
10
10
00
00
10
10
00
00
00
10
00
11
10
11
00
10
10
11
10
10
10
00
11
01
10
10
10
01
10
10
10
01
01
10
11
00
10
10
00
00
10
10
00
10
11
00
10
11
00
11
10
10
10
00
00
11
11
01
00
01
01
10
10
00
00
10
11
00
00
10
01
10
01
11
11
10
10
10
11
11
00
10
10
11
00
01
00
00
10
10
11
00
01
00
10
10
10
11
10
00
01
11
10
10
10
01
01
10
01
00
10
10
11
00
11
00
00
11
11
01
10
11
00
10
00
11
10
01
11
11
10
00
10
10
01
00
01
11
11
10
10
01
00
00
10
10
00
00
00
01
10
10
00
10
01
10
01
10
10
00
00
11
01
01
10
00
00
10
00
10
00
00
00
10
00
10
10
10
00
11
10
00
10
00
01
00
10
01
10
00
01
00
01
00
10
10
00
11
10
10
00
10
00
00
10
10
00
10
10
00
10
11
00
10
00
00
10
11
00
01
10
10
01
00
11
00
11
10
10
00
00
00
10
00
00
10
00
01
10
00
11
01
10
11
00
11
10
00
10
00
00
11
11
00
00
01
10
01
01
00
11
11
10
00
00
10
00
01
10
11
00
00
00
01
11
10
00
01
10
10
11
10
10
10
01
00
10
00
00
00
11
11
10
00
10
00
11
11
11
11
10
01
10
01
01
01
10
00
11
10
10
00
10
10
10
00
01
10
10
10
00
10
11
00
10
01
00
10
00
00
11
01
01
00
00
11
11
10
01
11
11
00
00
11
10
10
00
00
11
00
01
11
01
01
10
10
10
01
00
11
01
00
01
00
11
10
10
01
11
10
00
10
10
00
01
00
10
10
11
10
00
10
00
00
00
10
11
00
01
10
00
00
10
00
00
01
00
11
10
01
11
00
11
10
10
10
01
00
01
10
01
00
10
01
10
10
01
11
10
00
00
10
00
10
11
11
10
01
00
01
10
10
01
01
00
11
01
01
11
11
01
00
10
10
00
01
10
10
00
00
10
01
11
01
00
11
10
11
00
01
00
10
01
00
00
10
10
00
00
00
10
00
00
00
11
10
10
10
10
00
00
00
01
10
10
00
00
01
10
11
00
00
00
00
11
10
01
00
01
00
10
00
01
00
00
10
11
01
00
10
10
11
00
10
10
00
01
10
11
00
01
00
10
00
00
01
11
00
00
00
10
00
00
11
00
00
01
10
00
00
11
11
00
00
00
00
00
00
10
11
10
10
10
00
01
11
00
01
00
00
11
00
00
11
11
01
01
01
10
10
00
00
01
11
10
00
10
01
11
10
10
10
11
00
10
01
00
10
10
00
00
00
10
10
01
00
00
00
10
10
01
11
10
00
00
00
01
01
01
00
00
10
10
10
01
10
01
00
11
01
00
10
00
01
11
10
00
00
10
01
11
11
11
10
00
00
01
11
00
01
10
01
00
11
10
00
00
01
10
10
00
11
10
00
10
00
10
10
00
01
10
01
10
11
10
00
10
11
10
01
01
10
00
00
01
10
00
01
00
11
10
10
11
10
01
10
10
00
11
10
10
01
01
11
10
10
00
10
11
00
10
00
01
10
10
00
10
00
01
01
10
01
10
10
10
10
00
01
11
10
10
00
00
01
11
10
00
01
10
00
00
10
00
10
10
00
10
10
00
01
10
01
10
10
00
10
01
00
10
10
00
10
10
10
10
00
01
00
00
11
11
00
11
01
11
10
01
00
10
10
00
00
00
01
10
11
10
01
00
00
11
01
00
11
11
11
00
11
01
01
00
11
10
00
10
11
10
01
00
10
00
10
00
10
00
01
00
01
00
10
11
10
10
10
10
01
00
11
10
10
11
10
10
01
10
10
10
11
11
10
10
00
11
10
11
11
10
01
00
00
11
00
00
11
00
00
10
11
00
10
10
10
00
10
10
00
01
10
00
00
10
11
10
11
10
10
00
10
10
01
10
10
10
00
10
10
10
00
00
00
11
01
10
11
00
00
01
11
10
10
00
00
11
10
00
11
01
00
11
00
10
10
11
00
10
01
00
10
11
01
00
01
10
10
10
01
00
00
00
10
10
11
01
00
10
01
10
00
11
10
00
10
11
10
00
00
11
10
10
00
00
11
00
01
01
10
10
00
11
00
00
10
00
10
01
10
11
11
01
10
00
00
10
11
00
00
11
11
10
00
00
10
00
10
10
00
10
10
10
01
00
10
01
00
10
00
11
10
00
01
11
10
00
00
11
10
00
00
10
10
01
00
00
11
00
10
11
01
10
10
10
00
01
00
10
11
10
10
11
00
00
11
10
11
00
11
10
10
00
01
00
00
00
11
01
00
10
10
01
00
10
11
10
11
10
01
00
00
10
00
11
01
11
11
01
00
01
00
11
11
10
01
00
10
11
10
00
10
11
01
11
10
00
00
00
11
10
10
00
11
00
00
00
11
10
10
01
00
01
11
01
01
10
01
01
00
00
11
11
00
10
11
11
10
11
10
01
00
00
10
00
01
10
10
10
11
00
10
10
00
10
10
00
00
10
10
01
00
10
10
01
10
00
11
00
10
11
10
10
10
10
01
00
10
01
00
00
10
10
00
00
11
10
01
00
00
11
00
11
10
10
00
00
11
00
10
10
01
00
01
11
00
00
10
10
01
00
10
10
00
00
01
00
00
11
10
00
10
10
01
10
01
10
11
10
10
11
01
10
10
00
00
10
11
00
10
10
10
10
00
10
00
10
10
11
01
01
10
10
00
10
01
00
10
10
00
00
00
11
00
01
11
11
10
10
00
10
00
01
11
11
11
11
10
01
01
11
10
11
01
00
00
10
11
00
01
10
10
11
10
00
01
01
01
10
00
01
00
10
00
01
10
00
10
10
10
11
01
00
01
10
00
10
10
11
00
00
11
10
01
11
01
11
10
00
01
00
10
00
00
10
00
10
00
10
00
00
10
00
10
01
00
01
00
01
10
01
00
00
10
11
11
10
10
01
00
00
00
01
10
01
01
10
00
00
10
11
01
00
10
00
01
11
11
01
00
11
10
00
01
00
11
10
10
00
00
10
00
00
10
10
01
01
01
11
10
11
00
10
00
10
10
01
01
11
11
01
01
10
10
10
11
00
10
10
00
00
11
10
01
00
10
10
00
10
10
00
00
10
00
00
10
01
10
01
10
00
10
10
00
01
10
10
11
00
11
10
01
00
10
10
01
10
00
00
11
10
00
10
01
10
00
00
10
01
00
11
11
11
00
00
10
10
11
01
00
10
10
00
00
01
11
00
10
00
01
00
01
10
10
01
00
01
11
10
00
01
00
10
00
01
10
00
10
11
01
01
11
01
00
01
10
11
10
00
01
10
00
00
11
11
10
00
00
00
10
00
01
10
00
10
10
01
10
00
00
10
10
10
11
10
00
10
00
00
01
10
10
00
00
11
11
11
00
00
10
00
01
11
11
10
00
10
00
00
10
10
00
00
10
10
00
11
00
00
01
00
00
00
00
10
10
01
00
10
00
10
01
00
11
01
10
10
11
10
10
00
00
10
10
01
00
10
00
10
01
01
00
11
00
00
10
10
00
10
10
00
10
00
10
10
01
00
00
01
00
01
01
10
11
00
00
10
10
00
00
00
01
11
00
00
11
00
10
11
01
00
10
10
10
11
01
10
00
01
10
11
00
01
10
00
00
10
00
00
01
00
11
10
11
00
00
01
01
01
00
00
10
10
10
10
11
00
10
10
11
10
11
00
11
10
01
00
10
00
00
10
01
10
01
10
00
01
10
11
00
10
11
10
00
10
01
10
10
00
00
00
11
00
11
10
10
01
10
01
00
10
10
00
00
00
10
10
10
10
01
00
00
10
01
11
01
10
01
00
01
00
11
11
10
01
01
10
01
00
11
10
10
01
00
01
11
11
01
00
00
10
10
10
01
00
11
10
00
10
10
00
11
10
00
11
01
01
00
01
00
11
11
10
00
00
00
11
00
00
10
10
10
11
00
00
10
10
00
10
11
00
00
00
10
00
10
11
10
01
10
10
11
11
00
10
10
00
00
10
00
10
11
11
00
01
10
00
11
00
10
01
00
10
10
00
01
00
00
10
10
01
01
10
10
10
00
00
00
00
10
00
01
11
00
10
11
00
10
11
10
00
10
11
00
10
10
10
00
00
00
00
10
11
00
11
10
10
00
00
01
00
00
11
00
10
11
10
01
00
10
00
00
10
01
10
10
01
11
01
00
00
11
10
11
01
10
11
00
10
10
10
00
00
00
10
10
00
10
00
00
10
00
10
10
10
01
00
00
01
10
01
10
11
01
00
10
00
10
01
11
10
11
00
01
10
10
00
00
00
01
10
10
10
00
00
00
10
00
10
11
00
10
10
00
01
10
11
10
10
00
00
01
11
11
00
01
11
01
11
00
10
11
11
10
00
01
11
01
00
11
10
01
01
11
00
00
10
10
11
01
00
10
10
00
00
10
10
10
10
00
00
00
00
11
01
11
00
10
01
10
00
00
10
11
00
00
00
00
11
00
01
00
10
00
11
10
11
10
00
00
11
01
00
00
10
00
00
10
10
00
00
00
00
11
10
00
00
10
10
10
01
00
00
11
10
10
10
10
10
01
00
11
10
00
10
00
10
11
00
01
00
11
10
11
01
00
00
10
10
11
01
11
10
01
01
10
01
00
10
10
11
00
10
10
01
11
10
01
00
11
00
10
00
10
11
10
00
00
00
10
01
10
10
10
10
11
10
01
01
01
10
10
11
01
11
10
10
11
11
00
00
00
10
01
00
10
10
01
00
11
00
01
10
00
10
11
10
01
10
10
01
10
00
11
01
00
11
10
10
10
10
00
10
10
01
00
11
11
00
01
11
10
01
01
10
11
00
00
01
11
10
00
10
00
10
10
01
00
00
10
10
00
10
00
10
10
10
10
10
01
10
10
00
00
10
00
00
00
11
11
10
01
01
10
10
01
10
00
00
10
10
00
00
00
00
11
01
01
10
11
10
01
00
10
11
00
00
00
11
10
11
00
01
00
10
11
10
01
01
10
11
00
01
00
00
10
10
01
00
11
01
10
00
00
10
00
10
11
00
00
00
10
10
11
10
01
00
10
01
10
10
11
11
10
10
01
10
11
00
00
11
01
00
10
10
00
01
00
00
10
10
01
10
10
00
01
10
01
00
00
11
10
00
11
00
10
00
00
11
10
00
00
10
00
10
01
01
10
10
10
00
10
10
10
10
11
01
00
11
00
00
10
11
10
01
10
10
11
10
11
00
00
10
00
00
11
01
00
10
10
01
01
00
00
10
11
10
00
10
01
00
11
00
01
10
10
00
01
10
00
01
11
01
10
01
10
11
10
11
10
00
00
11
00
10
00
11
00
00
10
11
01
01
00
00
10
10
10
10
01
00
11
10
10
10
00
10
00
11
11
01
10
10
10
01
10
10
01
01
11
11
10
00
01
01
00
10
11
11
01
11
11
00
00
00
10
10
01
00
00
11
10
10
10
00
01
00
01
00
11
10
10
00
00
10
11
10
10
01
00
00
10
11
11
00
01
00
01
01
10
11
10
11
00
10
00
01
01
11
01
01
01
11
10
00
10
11
01
00
11
10
00
10
00
00
00
10
10
11
11
10
00
10
00
10
00
10
11
00
10
01
00
10
10
01
01
00
10
10
11
00
00
00
10
10
00
00
10
01
00
01
00
11
10
10
11
01
01
10
01
00
11
00
10
01
10
00
00
01
00
00
10
11
00
11
00
00
10
00
10
11
00
10
01
00
00
10
00
10
10
00
00
00
11
10
10
10
10
11
00
10
11
00
10
11
11
01
10
10
00
11
10
01
11
10
10
00
00
10
01
11
00
00
10
10
00
00
10
11
00
00
00
01
10
01
01
01
00
10
00
00
00
11
10
01
00
00
00
00
00
11
11
00
01
00
01
00
11
10
00
11
10
00
00
01
11
00
01
11
11
00
00
10
01
00
10
11
01
11
11
10
00
00
11
10
10
01
11
10
00
11
00
00
10
11
10
00
00
10
00
00
00
01
10
00
10
10
00
11
10
10
00
01
00
10
10
00
11
10
11
10
00
10
01
11
01
00
10
01
11
01
01
10
10
11
01
00
00
00
00
11
11
01
00
00
00
10
11
00
10
11
10
00
00
00
00
10
10
10
10
01
10
11
11
10
00
00
10
10
10
00
00
11
00
00
00
10
10
00
00
10
10
01
11
10
00
11
00
01
11
00
01
10
11
01
00
01
10
10
00
10
10
11
01
00
00
01
01
00
11
10
11
00
00
01
01
11
00
10
10
00
01
10
01
01
10
00
00
10
10
10
11
00
00
11
10
10
10
10
00
10
01
01
00
11
10
00
01
11
10
00
00
11
01
10
00
01
10
10
01
11
00
10
10
00
10
10
10
01
00
01
10
10
11
01
00
10
10
01
01
10
00
00
10
01
10
10
00
00
11
10
00
11
00
00
00
00
01
01
01
10
10
10
11
00
10
10
01
00
10
10
00
01
10
11
01
00
10
11
10
00
10
10
00
10
10
10
00
01
00
10
10
01
00
10
01
01
10
11
10
00
01
00
10
01
10
10
00
01
00
00
10
10
01
01
11
00
11
10
11
10
00
10
10
00
00
10
10
00
00
11
11
01
10
11
10
00
00
10
10
11
10
00
10
00
00
00
10
00
10
10
00
11
00
00
01
11
11
10
00
10
00
01
10
10
00
10
00
10
01
00
00
11
10
00
00
10
10
10
01
00
00
11
10
01
10
01
01
00
11
00
10
10
00
11
11
00
01
10
10
11
00
11
01
00
11
11
11
00
00
10
10
01
01
11
01
00
00
11
11
11
00
00
10
01
10
00
11
11
01
00
00
10
00
00
00
00
00
10
11
10
00
10
01
00
00
10
10
11
01
00
10
00
01
00
10
00
01
01
00
01
11
00
10
01
00
10
00
00
11
10
00
00
10
10
10
10
01
00
10
10
11
01
00
10
00
00
10
01
01
11
10
00
10
10
01
10
11
00
00
01
10
10
11
00
01
10
00
00
10
10
10
10
00
01
01
01
10
00
10
00
00
00
01
11
10
01
10
00
01
00
11
10
00
11
00
01
10
10
00
10
10
00
00
11
10
01
10
10
11
10
11
00
00
00
00
10
10
10
00
00
10
10
11
01
01
01
10
00
00
10
10
00
00
10
00
10
01
10
00
11
11
11
00
11
10
01
00
00
00
11
10
11
00
01
00
10
01
11
00
00
11
01
01
00
10
00
11
11
00
00
10
10
00
10
00
10
11
00
01
10
10
10
00
10
00
10
01
01
10
11
10
01
11
01
00
10
00
11
10
00
10
11
00
00
10
10
00
00
11
11
10
11
10
00
00
00
10
11
11
10
00
10
10
00
11
00
10
10
00
00
11
01
10
10
11
10
10
10
10
00
10
10
00
10
11
00
10
11
10
01
00
01
00
00
10
10
00
00
00
11
10
10
00
01
10
10
11
01
01
10
00
10
10
01
00
10
11
00
01
00
11
11
10
01
01
01
10
11
00
10
00
01
01
10
11
10
11
11
01
00
11
00
00
00
10
11
00
00
11
10
00
00
10
10
10
10
11
11
01
00
11
10
10
00
01
00
10
10
10
01
10
11
01
00
10
01
10
10
10
01
11
10
00
01
10
10
10
00
10
00
10
10
00
00
00
10
10
11
10
01
10
01
00
10
00
11
01
10
00
00
00
01
10
10
00
11
10
00
01
11
00
10
00
11
01
00
10
10
10
01
10
11
01
11
10
01
00
10
10
00
10
10
00
00
00
01
10
11
11
00
01
10
10
11
00
01
10
00
01
10
01
00
10
10
01
01
01
10
10
11
00
11
10
00
00
11
10
11
00
00
11
10
00
01
10
01
10
01
00
01
10
00
00
10
00
00
00
10
00
10
00
01
01
00
10
10
10
10
01
01
00
11
00
11
01
10
10
10
00
00
11
00
01
11
01
01
00
11
10
01
00
11
10
00
00
00
00
11
00
11
10
10
11
11
01
00
00
10
10
11
10
10
00
00
00
00
11
10
11
00
00
00
10
00
01
10
10
00
11
10
11
10
00
00
10
11
10
10
01
10
10
10
11
00
11
10
00
10
10
00
00
10
10
01
10
00
11
00
01
10
10
01
00
10
10
11
01
11
00
11
00
00
10
00
01
10
10
00
10
11
01
10
01
10
11
00
11
00
11
01
11
10
01
00
10
00
01
01
01
10
10
10
11
00
00
11
11
00
11
10
01
00
10
10
10
11
10
00
00
10
11
10
00
11
10
00
10
00
01
10
01
00
00
10
00
01
10
10
00
10
01
10
10
00
00
10
10
11
01
01
10
00
11
00
01
10
01
00
00
10
01
10
10
11
00
00
11
00
01
00
11
11
10
10
01
00
10
00
01
10
00
00
00
00
00
00
10
10
00
01
10
10
10
10
00
10
00
01
00
00
00
00
00
00
10
00
10
10
10
10
01
00
10
11
10
11
00
00
10
11
00
11
00
00
11
11
10
10
00
01
10
10
10
00
01
01
00
11
00
10
10
00
11
00
10
10
00
01
00
10
01
10
00
01
11
10
10
01
00
00
10
10
11
01
10
10
10
00
00
10
10
00
10
00
00
10
00
00
10
00
00
10
10
00
00
00
00
01
10
00
00
11
01
10
01
01
10
01
10
10
00
00
11
00
01
00
10
11
10
11
00
01
10
11
00
00
00
00
00
10
10
01
00
10
10
10
00
00
00
00
10
10
01
10
10
01
10
10
00
01
11
11
01
00
01
01
00
00
11
10
01
00
10
11
00
01
00
10
00
10
11
00
00
00
01
01
10
11
10
10
00
01
11
10
00
00
00
11
10
00
00
11
10
00
10
10
10
01
01
10
10
01
01
00
00
10
10
00
00
00
00
10
01
10
11
11
10
01
00
10
10
10
01
00
11
01
00
10
11
00
00
10
11
11
10
10
00
01
01
00
10
00
00
00
10
01
00
00
10
01
10
10
10
11
10
10
01
00
00
10
11
11
10
01
01
01
10
00
00
10
10
00
10
10
00
11
00
11
00
00
10
00
10
00
00
11
00
01
10
10
10
00
10
10
00
00
00
11
00
10
10
11
01
11
10
01
00
10
11
00
11
10
01
00
00
01
00
10
11
11
00
01
10
11
10
11
00
11
00
01
10
00
11
00
01
10
01
00
10
10
11
00
00
00
00
00
10
10
10
11
10
11
10
10
10
11
11
00
01
10
01
10
11
00
01
10
10
01
00
01
01
00
11
10
00
00
01
00
10
11
01
10
11
10
11
00
10
00
10
00
00
00
10
10
11
11
10
10
10
00
00
10
01
00
11
10
00
00
00
10
10
01
00
00
10
00
10
00
00
10
10
01
00
01
10
10
00
00
00
00
11
10
01
00
00
00
00
10
11
10
00
10
01
10
00
10
00
10
00
10
01
10
10
00
11
10
00
10
01
10
10
00
10
10
11
00
01
00
11
10
01
10
11
11
00
10
11
10
00
01
10
01
01
00
11
11
10
00
10
10
00
10
00
10
10
00
10
00
11
00
10
10
01
11
01
10
01
11
00
01
10
00
10
10
00
00
10
01
10
11
01
11
01
10
01
00
10
10
10
00
00
00
10
01
10
00
01
00
11
00
00
10
10
11
01
01
10
01
00
11
10
00
01
11
11
00
01
10
11
00
00
10
10
10
00
00
10
00
00
00
10
01
10
10
00
11
11
10
01
11
10
01
01
10
00
00
10
11
11
00
00
11
01
00
01
11
10
10
11
11
11
00
10
10
00
01
01
00
10
10
00
10
10
00
01
00
01
11
10
11
10
00
00
10
00
10
00
00
00
11
11
01
01
00
10
00
11
00
10
11
00
01
00
10
01
01
00
10
01
00
01
10
11
01
00
00
00
11
00
00
10
11
11
01
01
10
10
10
01
00
10
10
10
01
01
11
00
01
10
00
00
10
10
01
00
11
00
01
00
10
10
01
00
11
01
00
10
01
00
10
00
11
10
10
01
00
00
01
10
00
10
10
11
10
00
00
10
10
01
10
01
01
10
11
00
01
11
01
00
00
00
10
00
00
10
11
00
00
11
01
11
01
00
10
10
01
00
01
00
11
01
00
11
10
00
10
11
00
00
11
10
10
00
00
00
00
01
10
11
00
01
00
10
01
10
10
01
01
10
01
01
01
10
10
01
10
10
01
01
10
11
10
00
00
11
01
11
10
01
00
10
10
10
10
00
00
00
10
10
00
00
11
10
10
11
01
00
11
11
11
10
10
00
01
01
10
11
00
00
10
00
10
10
00
00
00
10
10
10
00
10
00
00
01
00
00
10
00
10
11
01
10
11
10
10
00
00
00
01
00
11
10
01
10
00
00
01
10
10
10
10
11
00
10
10
00
00
00
10
01
00
11
10
10
00
00
10
10
11
01
11
10
00
00
10
11
10
00
10
10
10
01
01
10
00
00
10
01
00
11
01
01
01
10
10
01
00
11
11
11
00
00
00
10
00
00
01
11
00
11
10
00
00
10
10
00
00
10
10
00
00
00
00
00
00
00
11
10
10
01
11
00
01
11
11
00
00
10
10
10
10
00
00
00
10
10
10
10
10
00
11
01
00
01
11
01
10
00
10
10
00
00
00
10
11
00
00
11
10
11
11
01
01
10
10
00
10
10
10
01
00
10
10
00
11
11
00
01
11
11
00
10
00
01
00
10
11
00
01
10
01
10
11
00
01
11
11
11
00
11
01
10
11
10
01
00
10
00
10
10
10
00
00
10
00
01
10
00
00
00
00
11
11
10
01
10
01
00
10
01
11
00
00
00
10
10
10
00
01
00
01
00
11
00
11
01
11
00
11
01
00
10
00
10
11
11
10
00
11
11
11
00
10
10
01
00
00
11
11
11
10
00
00
01
00
10
10
00
01
11
01
00
10
10
10
01
10
10
00
10
11
01
00
00
11
10
00
00
00
11
00
01
10
01
00
10
00
11
11
00
00
10
00
01
11
00
00
00
00
00
11
11
11
10
00
11
00
01
10
01
00
10
00
00
10
10
11
01
00
10
01
10
00
10
11
10
00
00
11
10
00
10
00
10
10
00
11
11
00
11
00
01
00
00
10
11
11
10
10
00
11
10
10
00
10
10
00
01
11
11
00
10
11
10
10
01
00
11
10
10
00
01
10
11
00
00
11
11
00
10
00
10
11
11
00
10
00
10
00
10
00
01
10
01
10
01
00
10
00
10
11
00
01
10
10
00
00
11
00
10
10
10
11
00
10
11
10
00
00
10
10
11
11
01
00
00
00
01
10
10
00
10
10
00
11
00
01
10
10
00
11
00
01
01
10
11
00
10
00
01
10
10
00
01
11
00
01
01
00
01
01
10
10
00
00
01
00
11
00
10
01
10
11
00
10
11
00
11
01
00
10
00
00
10
11
01
00
11
11
11
01
10
00
01
10
00
10
10
00
00
00
11
10
00
01
10
01
00
00
11
10
01
11
10
01
00
10
00
10
10
11
11
10
00
00
10
00
00
10
00
10
10
00
11
01
00
01
00
00
10
10
00
10
10
00
10
00
10
00
00
11
10
00
11
10
00
11
00
00
00
00
10
00
01
10
00
01
01
00
10
00
10
00
01
01
11
01
00
10
11
11
00
00
10
10
01
00
00
01
11
10
10
11
10
10
00
00
00
00
01
01
10
11
01
00
00
00
10
10
00
00
01
10
10
10
10
00
00
00
00
10
10
01
11
10
00
10
10
10
01
00
11
01
00
00
10
10
10
11
00
00
01
00
10
10
00
10
00
10
11
10
01
00
10
01
00
01
00
10
00
00
10
11
10
00
11
10
11
00
00
11
11
01
11
00
01
11
01
00
00
10
10
01
01
00
00
10
10
11
00
10
00
10
10
00
11
01
11
10
10
10
00
11
10
01
01
10
01
11
00
10
10
00
10
10
00
10
11
11
10
00
01
11
01
01
01
01
11
00
00
00
10
11
10
11
01
00
10
10
00
00
10
11
00
00
10
00
00
00
00
10
01
00
10
10
11
01
00
00
10
00
00
00
10
01
10
11
10
10
10
00
00
00
01
10
11
00
10
10
00
00
00
00
00
00
00
11
11
10
10
01
10
11
00
01
10
00
11
11
00
00
10
10
00
01
10
10
00
10
10
01
00
01
11
10
01
00
01
10
00
00
11
10
00
00
11
11
00
11
11
01
11
10
00
00
00
10
10
00
01
10
01
01
10
00
11
00
11
11
00
00
10
00
00
10
00
10
01
10
10
10
10
10
00
10
10
10
10
00
00
11
10
00
00
11
00
11
01
00
10
10
01
00
10
11
00
00
10
01
00
11
11
01
00
01
10
11
10
00
00
11
11
10
01
00
10
00
00
00
10
10
01
00
00
01
11
11
10
11
00
10
10
00
10
10
01
00
01
01
10
00
00
01
10
01
00
10
11
11
10
01
00
10
00
01
00
10
11
01
00
10
00
00
10
01
11
11
00
10
01
11
00
00
01
10
00
10
10
00
01
10
10
00
00
00
00
10
10
10
00
10
00
10
00
10
10
10
01
10
01
00
11
00
00
00
10
00
00
00
10
10
10
10
01
00
11
01
01
10
10
00
01
01
11
10
01
10
10
11
00
10
10
00
10
10
01
10
10
00
00
00
10
01
00
10
10
11
00
11
00
10
11
00
11
11
11
00
10
10
10
00
01
00
11
10
10
00
01
10
10
01
00
10
00
00
10
11
01
10
11
00
00
10
00
10
11
00
00
10
00
01
10
00
00
01
10
01
00
10
10
01
01
00
01
11
10
11
00
10
10
11
00
01
11
10
10
10
00
10
10
01
11
10
10
10
01
10
01
00
00
10
10
10
00
00
01
10
11
01
01
00
10
00
10
00
11
01
00
11
10
10
10
10
00
10
11
00
01
00
10
01
00
01
10
01
00
10
00
11
10
11
00
00
10
11
00
00
10
11
10
00
00
11
00
00
11
00
00
00
11
00
11
10
01
11
01
10
11
00
00
01
01
10
10
10
01
10
11
10
01
00
10
11
01
00
11
10
00
11
10
01
01
01
10
10
10
00
00
11
10
00
01
00
10
10
10
11
00
00
11
00
00
00
11
11
10
00
01
10
11
10
10
11
11
01
11
01
00
10
10
10
01
01
00
10
00
10
01
00
00
00
10
00
11
10
10
10
11
00
10
00
00
10
10
00
00
11
01
11
11
10
10
10
00
10
11
00
11
10
00
11
00
00
00
10
10
11
10
10
10
10
01
01
11
11
00
00
10
10
00
10
10
00
10
10
00
01
00
10
10
10
01
11
11
00
00
10
10
10
00
01
10
10
00
10
10
10
00
11
10
11
01
00
00
00
10
00
00
10
10
00
00
01
01
11
01
00
11
00
01
10
00
10
11
00
01
01
10
00
11
11
00
00
11
01
01
10
11
10
00
11
10
00
00
11
10
10
10
00
00
10
00
10
00
00
00
01
00
10
10
11
11
10
10
00
01
11
00
10
00
00
01
01
10
01
01
11
00
10
00
00
01
11
10
00
10
00
11
11
00
11
00
01
10
01
11
00
10
01
10
10
00
11
10
10
00
00
10
00
01
10
00
10
10
01
10
00
10
10
01
01
00
10
11
10
11
10
00
00
10
00
00
00
10
11
10
00
10
01
10
11
00
11
01
11
01
01
00
11
01
10
00
11
11
00
01
00
11
10
00
10
00
00
00
00
10
10
11
01
11
00
01
00
00
00
10
11
00
00
10
10
10
10
00
00
00
11
10
00
10
11
10
10
00
11
10
00
01
10
11
11
10
10
00
00
11
00
00
01
00
00
11
00
10
11
00
10
10
00
00
11
01
01
01
11
11
00
10
01
00
10
00
10
11
00
01
11
00
00
00
10
10
01
01
00
10
10
11
00
01
00
10
00
01
11
11
10
00
00
10
10
10
00
00
10
01
10
00
00
00
00
10
10
00
00
10
00
10
01
10
10
11
11
00
10
10
10
10
11
00
01
11
00
11
01
11
00
01
10
11
01
11
00
11
10
00
00
11
10
00
00
00
10
10
10
11
10
00
01
01
00
11
00
11
10
00
10
00
11
10
01
10
01
11
10
00
00
00
10
10
00
01
01
11
10
01
11
01
00
10
10
10
00
00
10
10
00
10
00
10
01
10
01
11
10
01
00
11
10
00
01
10
10
01
00
11
10
00
10
11
10
00
00
11
11
00
10
01
10
00
01
01
01
10
00
10
10
11
00
10
10
10
00
11
10
00
01
11
10
10
00
00
00
10
10
01
01
10
00
00
01
10
10
11
11
10
00
10
00
00
11
00
10
10
00
00
10
00
10
10
10
00
00
00
10
00
01
10
11
11
01
01
10
10
00
11
10
11
00
00
10
11
00
00
10
10
01
00
00
00
10
00
10
01
11
10
00
11
10
00
11
11
00
00
10
01
11
11
11
10
10
11
11
11
01
01
10
01
01
11
00
01
10
10
10
00
10
01
10
10
10
01
00
10
00
01
00
01
10
11
00
11
00
10
01
01
10
00
10
01
01
10
10
01
10
10
01
00
01
11
10
10
10
00
10
00
10
01
00
10
00
10
10
10
10
10
10
00
11
00
10
10
00
00
00
01
00
10
10
11
10
01
00
00
11
01
00
01
00
11
01
00
00
11
00
01
10
10
01
00
00
01
10
10
00
10
10
10
01
10
01
11
01
00
10
01
10
11
00
10
11
10
10
10
00
01
10
10
00
11
10
00
01
10
01
00
10
11
00
00
10
10
01
10
10
11
00
10
00
01
00
10
00
00
11
00
10
00
10
00
00
11
11
10
00
10
11
01
10
10
01
00
00
11
11
00
01
10
00
00
10
10
00
11
11
10
00
00
10
11
11
01
01
01
00
01
01
00
11
11
00
01
00
10
10
00
00
10
10
00
00
11
10
00
11
00
10
11
01
01
00
01
10
11
10
00
00
00
10
11
00
00
11
01
10
11
10
00
00
10
10
00
00
01
10
11
00
00
10
10
00
00
00
11
11
01
01
00
10
01
11
00
01
00
00
11
11
00
01
10
10
10
01
10
00
00
10
10
11
11
01
10
11
00
01
10
00
10
01
00
10
00
00
00
10
10
11
10
00
00
00
00
00
00
11
10
10
10
00
00
10
10
10
01
11
01
10
01
01
10
00
00
11
10
00
00
00
10
10
11
01
00
00
01
10
10
01
00
10
10
10
00
00
10
10
00
11
00
11
10
10
00
10
00
00
10
10
10
00
00
10
00
00
00
01
00
01
11
00
00
10
11
00
10
11
00
01
01
10
10
00
00
01
00
11
10
00
10
01
11
11
00
01
11
11
10
00
00
11
11
10
10
00
00
11
11
10
00
01
10
10
11
01
01
10
10
00
01
00
11
10
00
00
00
10
11
00
00
11
01
01
00
10
11
00
10
01
00
11
01
11
00
10
00
10
10
10
10
00
10
10
00
01
01
00
01
10
11
01
01
00
00
01
11
10
00
00
00
00
01
11
11
00
00
00
01
01
10
11
00
10
00
00
00
01
10
10
00
00
10
01
11
10
00
00
00
00
00
00
10
10
10
11
01
00
00
10
00
10
10
00
10
10
00
00
01
10
10
11
01
01
10
00
10
10
00
10
10
01
00
00
10
11
10
01
10
11
00
00
10
10
10
10
10
00
10
00
00
10
00
01
11
01
00
00
10
00
01
10
11
00
01
10
11
10
10
10
00
11
10
10
00
10
11
00
00
00
10
10
10
10
01
10
10
10
01
11
10
00
10
10
01
10
00
01
00
10
10
00
00
10
01
00
10
10
10
11
00
01
10
10
01
00
00
11
01
00
11
10
00
00
00
10
10
10
00
10
10
01
10
00
10
01
01
11
01
00
00
00
11
11
00
10
11
01
00
00
10
00
01
10
10
00
01
10
10
00
10
10
01
11
10
10
01
10
10
10
00
00
00
00
11
11
10
00
01
10
11
00
00
01
11
11
01
01
10
10
00
11
11
00
00
10
00
01
00
01
10
00
00
10
01
11
10
00
10
10
10
11
00
01
00
01
10
10
00
01
00
11
10
10
00
10
10
10
01
00
11
11
01
01
00
00
00
01
11
11
00
01
00
10
11
00
11
10
00
00
11
10
00
11
11
01
00
00
10
00
00
00
11
10
00
00
10
10
10
00
00
00
00
00
11
00
01
00
11
00
11
11
01
10
11
10
01
00
10
10
00
01
10
00
01
00
01
00
11
00
01
00
11
10
00
01
10
10
00
01
01
10
10
00
00
10
00
11
01
10
11
11
10
01
01
10
00
00
11
01
10
01
00
00
00
01
10
00
01
10
00
10
10
00
01
10
00
00
10
10
10
10
10
00
01
01
00
11
01
00
00
11
10
10
00
01
11
10
00
00
10
10
00
10
10
00
01
00
10
10
00
01
01
10
10
00
10
01
10
10
00
10
00
00
10
01
10
10
00
01
01
01
10
11
10
10
10
00
01
11
00
00
00
01
11
00
00
11
10
01
01
00
01
10
11
00
10
11
11
10
10
00
01
01
00
00
10
10
01
11
00
00
00
00
11
11
01
11
11
00
00
11
00
11
10
01
10
10
10
00
00
00
10
10
11
01
00
00
10
10
11
10
10
10
00
00
10
00
01
00
11
10
10
00
00
00
10
00
00
10
00
10
00
01
00
01
00
00
00
10
10
10
10
00
00
11
10
00
10
01
11
00
10
00
10
00
01
10
01
00
00
10
00
00
11
01
00
01
10
10
10
10
11
00
10
10
01
11
00
00
01
00
00
11
00
01
10
11
10
00
10
11
00
00
00
11
01
01
10
00
10
10
00
01
01
10
01
00
10
00
10
11
10
00
00
10
10
10
00
01
01
11
00
01
00
01
11
10
11
00
00
00
10
10
00
01
10
11
10
11
00
00
01
01
10
11
10
01
10
10
00
10
10
00
01
10
00
00
00
10
10
10
11
10
00
10
10
11
00
10
11
10
10
10
10
00
11
01
11
00
10
10
00
10
00
10
10
01
00
10
10
00
10
00
00
01
10
00
01
00
10
10
01
00
01
10
10
10
00
11
10
11
00
11
10
11
10
00
11
01
01
11
01
10
00
10
00
01
11
10
10
01
00
00
10
01
11
10
00
10
11
11
00
00
01
01
00
10
11
01
01
01
00
10
11
00
11
01
00
00
00
01
00
00
01
00
10
10
11
10
10
10
10
10
00
01
11
01
01
11
01
01
10
10
00
01
10
01
00
11
11
00
11
00
10
10
00
00
10
00
01
10
11
10
01
01
10
10
10
10
00
01
10
10
10
01
00
00
01
11
01
10
11
00
00
00
11
11
00
00
10
01
11
10
11
00
00
10
01
00
10
10
00
00
00
10
10
00
01
10
00
00
11
11
01
01
10
11
10
10
00
01
10
10
00
00
10
01
00
00
00
10
11
10
01
10
11
01
10
00
10
10
10
10
00
01
11
10
10
00
00
00
10
11
01
10
10
00
00
10
11
00
00
10
11
10
00
00
10
00
00
11
00
01
11
11
10
00
00
00
00
10
11
10
11
10
00
11
01
00
00
10
00
10
11
00
10
10
10
00
00
10
01
10
10
00
10
10
00
00
00
01
11
10
11
10
01
00
00
00
01
11
10
00
10
00
11
00
01
10
11
11
11
00
01
01
00
00
11
10
01
00
10
00
10
00
00
10
00
01
11
10
00
11
00
10
10
11
00
00
10
00
00
01
01
00
11
10
10
10
00
00
10
11
01
00
01
00
00
00
11
10
00
00
10
11
10
11
00
11
10
00
00
01
10
11
10
10
01
00
01
11
10
00
10
10
00
10
10
10
01
00
00
00
01
01
00
01
11
11
10
01
10
01
00
11
01
01
10
11
11
01
00
11
00
01
00
11
10
10
01
00
10
00
10
10
00
00
00
10
11
00
00
10
00
10
10
00
00
10
01
01
00
11
10
00
10
01
00
10
10
00
10
01
00
10
10
00
10
00
00
11
00
10
10
01
00
01
10
10
10
00
10
00
01
10
10
11
10
01
00
00
00
10
00
11
11
00
01
11
10
10
10
01
11
11
01
00
10
10
10
00
11
11
01
00
10
10
11
00
00
10
10
10
00
00
10
00
00
00
11
11
00
00
00
00
10
00
00
10
00
00
10
00
01
00
01
01
11
01
01
01
00
00
10
00
10
10
00
00
10
10
00
11
00
00
00
00
00
00
10
10
11
10
10
01
10
01
11
10
00
00
11
00
01
00
10
00
10
10
11
01
00
10
10
00
01
00
10
00
00
11
10
10
00
10
11
00
00
01
10
10
00
10
01
00
10
10
10
10
10
00
00
10
10
10
10
11
00
00
11
00
01
00
01
00
01
10
10
00
01
10
11
10
10
11
00
00
00
00
01
01
01
10
10
10
00
10
10
00
00
10
10
01
01
00
10
00
10
10
01
10
00
11
10
01
00
01
10
10
11
01
11
00
01
11
11
00
10
00
00
00
00
10
11
01
11
10
10
10
00
10
00
01
11
01
01
00
00
10
11
11
00
10
11
11
01
00
11
00
10
00
00
00
00
10
10
00
00
00
11
11
01
11
00
11
10
11
10
10
01
00
10
10
01
00
10
10
10
00
01
00
11
10
10
10
00
01
00
10
11
00
11
10
10
00
00
11
00
11
10
10
00
00
10
10
01
00
01
11
10
00
10
11
11
00
01
01
10
10
10
00
00
10
10
00
10
00
10
00
01
00
11
10
01
10
11
11
00
10
11
10
01
00
10
11
11
11
10
11
00
10
10
10
00
00
00
01
10
00
00
10
00
11
00
00
10
11
01
11
11
10
10
11
10
00
00
10
01
10
11
01
10
10
11
10
00
11
10
00
10
00
00
00
10
00
01
00
10
01
10
10
10
01
11
11
00
00
10
00
01
11
11
10
00
10
01
10
11
10
01
00
10
11
10
11
01
11
11
10
10
00
00
10
01
00
01
11
01
10
10
00
01
11
10
11
01
10
00
00
11
00
00
10
11
11
11
10
11
10
10
11
10
00
00
00
10
10
00
00
11
00
00
00
00
10
10
01
10
01
00
01
10
00
10
01
00
10
00
11
01
11
10
10
10
10
10
00
01
00
10
11
10
01
01
10
00
00
01
11
00
10
00
10
10
00
11
00
00
10
00
00
01
00
10
11
00
01
10
11
11
10
00
11
11
10
00
01
01
10
00
00
11
00
01
11
11
00
11
10
01
11
10
01
01
00
10
00
01
11
10
11
01
01
00
11
10
00
00
00
11
11
00
01
01
10
11
10
11
00
00
10
11
11
00
11
11
10
00
00
10
10
01
00
00
10
00
10
00
00
10
11
00
00
00
00
00
01
00
10
10
10
00
10
10
01
01
00
01
11
10
00
00
11
10
10
01
10
10
01
11
10
10
10
00
10
00
00
10
10
11
00
00
11
00
11
01
00
00
01
11
00
11
11
00
10
00
00
00
10
10
01
00
00
10
00
01
00
11
10
10
01
10
10
00
10
10
00
00
10
10
01
10
00
10
10
11
10
10
00
00
00
00
10
10
10
01
10
10
10
01
00
11
10
01
00
00
00
00
10
10
01
00
11
01
00
10
01
11
10
10
01
00
00
10
10
00
10
10
01
01
10
10
11
01
11
01
01
01
11
10
01
00
11
10
11
10
00
10
10
00
00
10
00
10
11
00
00
10
00
10
10
01
11
01
01
11
00
11
01
01
10
11
01
01
00
11
00
00
11
11
10
01
01
00
00
01
10
00
10
01
01
10
10
00
10
00
00
10
00
01
00
11
00
00
01
10
00
10
10
01
11
00
10
10
01
01
10
10
10
00
00
01
10
00
00
10
00
10
00
00
00
00
01
01
10
00
10
10
11
00
10
00
01
01
01
01
10
00
00
00
00
00
10
11
11
00
01
11
00
10
00
10
00
00
10
01
00
01
11
10
00
00
01
10
10
01
01
11
01
10
11
00
11
00
01
10
10
00
00
11
00
00
10
00
11
10
00
01
10
00
10
01
10
10
00
10
00
11
11
10
10
01
10
00
00
01
00
00
11
10
10
01
10
10
11
00
10
10
01
00
10
10
00
00
00
10
10
10
11
11
01
10
00
11
10
01
00
00
11
11
01
10
00
00
00
11
01
11
10
00
00
00
11
01
01
10
00
10
00
00
11
10
00
00
10
11
00
00
11
10
10
01
00
10
00
01
00
00
00
00
00
10
01
11
00
00
10
10
11
00
10
00
10
00
00
11
01
01
00
11
00
01
01
00
11
10
10
00
01
11
10
00
00
00
10
10
11
00
00
00
00
00
01
01
01
10
00
00
10
00
00
10
11
01
11
01
10
00
10
10
10
10
01
00
01
10
11
01
01
01
10
00
10
00
01
00
01
10
00
00
11
00
00
11
10
00
00
00
10
11
01
00
00
11
00
10
10
10
00
00
10
00
10
10
10
00
11
01
00
11
10
10
00
01
00
10
11
00
11
00
00
00
00
11
01
01
10
00
10
00
01
01
10
00
01
00
10
01
11
11
11
01
00
00
10
10
10
00
00
11
00
00
00
00
00
11
10
10
10
00
00
11
10
00
01
10
10
00
00
11
10
11
10
10
00
00
00
00
10
01
00
10
10
00
11
10
11
01
00
10
01
10
10
11
00
00
01
00
11
00
10
11
10
01
00
11
11
01
10
10
10
01
00
10
11
00
01
10
10
00
10
10
00
11
11
11
00
10
10
00
10
00
10
11
00
00
10
01
01
11
00
10
10
10
11
10
00
00
01
00
00
10
01
10
10
00
10
00
11
10
10
10
00
10
11
00
00
11
10
10
10
00
10
10
00
01
00
10
00
00
10
01
01
00
10
01
01
11
11
00
00
10
10
00
00
10
11
10
10
11
00
11
10
11
00
11
10
10
00
00
10
00
10
10
11
10
10
01
00
00
00
11
11
00
01
10
00
10
11
10
10
11
00
11
10
01
10
10
00
01
01
10
01
01
01
01
01
11
01
01
10
11
00
01
10
10
00
01
01
10
10
10
10
00
00
10
11
00
01
11
00
11
10
10
01
11
10
00
11
10
01
11
01
00
01
11
00
00
11
00
10
10
00
10
10
00
10
11
00
10
11
11
01
10
10
10
10
01
01
00
10
00
01
00
01
00
10
00
00
00
01
10
00
01
10
11
00
11
00
00
11
10
10
00
11
11
10
10
01
01
01
10
10
10
10
01
00
00
11
01
00
10
11
00
10
10
10
00
11
10
01
10
00
10
00
00
10
01
00
01
10
00
10
01
01
10
00
10
10
00
10
00
00
11
10
00
10
10
11
00
00
01
11
00
00
10
10
11
10
00
10
00
00
11
00
00
00
00
00
01
00
11
01
10
00
11
10
01
00
10
10
01
10
10
01
00
00
01
10
01
10
11
01
11
11
00
01
10
10
00
10
11
01
00
10
01
10
11
10
11
00
01
00
00
01
11
00
00
00
10
10
00
10
10
11
00
10
10
00
01
01
10
11
01
11
11
00
00
10
01
00
11
10
00
01
10
00
11
00
01
10
01
10
01
00
01
10
11
10
11
00
00
10
10
00
00
10
10
00
01
00
10
00
00
10
00
00
11
00
10
10
11
10
01
00
10
10
10
10
01
00
11
00
11
00
00
10
00
00
10
00
11
10
11
11
00
01
00
10
10
01
00
11
10
01
11
01
11
10
00
00
11
00
01
01
10
10
00
10
11
10
10
11
11
01
11
11
10
10
10
10
00
00
11
11
00
00
11
00
01
11
10
00
00
10
10
00
11
10
10
00
00
10
00
11
01
11
10
01
01
10
00
01
10
10
11
11
00
10
10
01
00
00
10
00
00
11
11
00
10
00
10
10
00
01
10
01
11
10
11
00
00
10
10
01
00
00
11
10
10
00
10
00
11
10
00
11
10
00
00
00
00
11
10
10
10
00
10
10
00
00
10
00
00
00
00
10
10
11
00
01
00
10
11
10
00
01
10
10
10
00
00
10
10
10
10
11
10
11
10
10
10
00
00
00
01
10
00
10
01
00
00
00
10
00
10
11
01
10
10
01
11
10
00
00
10
00
11
10
00
11
00
00
00
01
00
00
10
11
00
00
10
11
10
10
00
00
01
11
01
10
10
11
01
10
10
00
10
10
00
10
00
00
01
00
11
11
10
00
11
01
00
11
10
00
00
00
00
00
00
10
00
01
00
10
00
01
01
10
10
10
10
01
10
01
10
10
01
00
11
00
00
11
10
11
10
00
00
10
00
10
11
00
01
11
01
00
10
11
01
01
11
10
10
00
00
10
00
00
11
10
01
00
11
11
01
00
11
10
00
01
11
10
01
00
11
11
00
00
00
01
10
01
00
11
11
00
11
00
00
10
11
00
11
11
00
00
00
00
10
10
00
10
00
01
11
10
00
00
00
00
10
10
00
00
11
01
10
10
00
00
00
11
10
11
01
10
10
10
01
10
01
01
00
10
10
11
10
01
10
10
00
00
10
10
00
00
10
10
11
00
00
10
10
10
11
00
11
01
01
01
10
01
00
10
10
00
01
11
11
00
10
00
00
11
00
10
11
00
00
10
00
11
00
00
10
10
00
10
11
01
00
11
00
10
01
00
10
11
01
00
01
10
00
10
00
10
00
10
10
00
11
00
10
11
00
10
10
10
00
11
11
11
11
01
10
10
10
01
00
01
10
10
00
00
00
00
00
10
01
10
10
00
00
00
01
10
01
00
11
10
00
11
11
01
00
00
11
11
11
11
00
01
10
10
01
10
10
10
00
01
01
11
00
01
11
00
10
01
00
10
11
00
00
01
00
10
10
00
01
11
00
00
00
00
10
00
11
00
10
01
00
10
10
10
01
00
10
10
00
00
10
10
01
00
10
10
00
10
01
01
11
11
10
00
00
10
00
00
10
10
00
00
10
01
00
10
01
11
01
10
10
00
00
00
00
01
10
10
00
10
10
11
00
10
10
11
00
10
00
00
10
00
01
10
10
10
10
01
11
01
11
00
10
10
00
00
00
10
11
00
10
00
00
11
10
00
00
10
11
00
11
11
10
01
00
10
00
00
10
00
00
01
11
10
10
10
00
00
10
10
00
01
01
00
01
10
10
11
10
10
10
01
01
01
10
01
00
10
00
10
00
00
10
10
10
11
10
10
00
11
01
00
11
01
00
11
10
01
00
00
01
10
10
01
10
11
01
00
10
00
00
10
00
10
01
11
10
00
10
00
11
01
00
11
00
01
01
10
10
01
10
10
00
00
00
10
00
00
10
00
10
11
00
10
10
01
00
00
01
00
01
01
11
10
10
01
01
11
10
10
01
11
10
00
10
10
01
10
11
00
11
11
00
10
11
00
00
00
10
01
10
10
10
01
01
01
11
10
10
01
11
11
10
00
11
10
10
00
00
10
10
00
10
11
00
00
00
11
11
01
00
01
01
00
10
10
00
00
10
10
00
00
00
11
00
00
10
00
01
10
10
01
10
10
10
00
10
01
00
11
10
10
00
00
11
00
10
10
00
10
10
00
11
11
11
00
00
00
00
10
10
01
01
10
01
11
01
10
00
11
10
10
00
01
01
00
10
10
11
10
00
00
10
11
10
01
10
11
00
10
10
01
00
10
10
00
10
10
10
00
01
01
11
10
10
00
10
00
10
00
00
11
00
00
10
11
00
00
10
10
00
00
01
01
00
11
10
10
00
10
10
00
11
11
01
01
11
11
01
01
00
00
11
10
00
01
00
10
10
01
00
01
00
11
10
10
10
00
10
01
00
10
10
00
01
01
10
01
00
10
11
00
11
10
00
00
11
00
00
10
10
00
01
00
10
10
10
00
11
01
00
10
10
10
00
10
11
00
11
10
00
11
01
11
00
01
10
11
01
00
11
10
11
10
11
00
01
10
11
01
11
10
11
00
00
01
01
10
10
10
11
00
00
10
00
10
00
11
10
10
01
11
00
00
11
10
00
00
10
00
01
00
01
11
11
11
00
00
00
10
10
01
10
10
11
01
10
11
10
01
10
11
10
10
00
00
10
10
00
00
00
00
00
10
00
11
00
11
11
00
00
00
10
11
01
00
11
00
00
01
10
01
00
10
11
10
00
00
00
10
10
10
11
00
01
10
10
00
11
10
10
11
00
00
10
11
00
00
01
00
10
10
11
11
00
10
10
00
00
10
00
10
10
01
00
10
10
00
00
11
11
00
00
00
10
10
10
10
00
00
10
11
11
10
00
00
11
10
00
10
10
00
10
10
11
10
10
00
01
00
00
11
10
10
11
10
01
01
10
10
10
01
00
10
11
10
10
00
10
11
01
00
11
00
10
10
00
11
00
00
11
00
01
10
10
01
00
10
01
10
10
10
10
00
10
10
11
11
10
11
11
00
00
10
00
01
10
01
00
00
11
11
10
00
11
00
10
10
00
11
10
10
00
01
10
01
10
11
10
00
10
11
00
00
10
11
01
00
00
00
10
11
00
01
11
10
10
11
00
00
11
00
01
11
01
11
00
00
00
01
10
01
01
10
11
10
00
00
10
10
00
00
11
00
00
01
01
00
10
10
00
00
10
10
01
11
10
01
00
00
10
11
10
01
01
10
00
11
01
11
01
01
10
10
10
00
11
10
10
01
01
10
10
01
00
10
00
11
01
01
01
00
00
00
10
00
10
10
00
00
10
11
01
00
10
11
00
01
10
01
00
00
01
10
00
00
00
10
10
00
00
01
11
00
11
00
00
11
10
11
00
00
10
11
00
00
11
00
11
11
11
00
11
00
10
00
10
10
10
00
01
01
10
00
01
00
00
00
11
00
00
10
10
00
00
01
11
10
00
00
11
00
11
11
00
11
00
10
00
10
11
00
00
10
10
00
00
10
11
00
10
00
00
10
10
10
10
00
01
00
10
11
00
10
00
01
10
00
11
10
11
01
10
10
01
10
11
00
00
01
00
11
00
01
10
11
10
01
01
00
11
11
00
00
01
10
11
01
00
10
01
00
00
11
00
11
11
11
00
00
10
00
11
10
11
00
10
00
00
10
00
00
11
10
00
00
01
10
00
00
00
10
10
00
00
00
11
10
00
00
11
11
10
10
00
10
00
10
01
10
11
10
01
00
11
10
00
11
10
10
00
00
10
10
11
11
00
11
01
11
10
00
10
01
01
10
01
00
00
10
00
01
10
11
10
01
11
00
01
11
00
10
01
00
01
11
00
10
10
00
01
01
10
11
10
00
11
00
00
11
00
11
11
00
00
10
01
01
00
10
11
00
00
10
11
10
01
00
01
00
00
10
10
00
01
00
00
10
11
10
10
01
11
10
00
10
00
00
01
11
11
01
00
10
11
01
00
10
11
00
00
10
00
00
00
01
00
10
00
10
10
00
11
10
10
00
00
00
10
10
01
00
10
10
10
00
00
11
11
10
11
11
11
10
00
10
10
01
00
01
11
00
00
10
01
10
00
10
10
00
10
01
01
01
10
00
01
01
01
10
10
10
10
11
00
01
10
00
00
00
10
11
01
00
10
11
01
11
01
00
00
00
10
10
11
01
01
11
01
00
00
01
01
01
10
00
00
10
00
11
11
00
10
00
10
00
10
00
00
00
00
00
01
00
10
11
10
10
10
10
00
00
01
00
11
10
11
00
11
10
00
10
10
11
11
10
11
01
00
00
10
00
00
00
10
00
10
11
01
10
10
01
10
01
10
01
01
01
00
11
10
00
01
11
00
00
10
10
00
00
10
00
00
10
11
01
10
10
10
10
10
00
00
10
10
01
10
10
10
00
10
01
11
10
00
01
00
10
00
10
10
01
00
00
10
10
10
00
00
11
01
00
00
00
11
01
00
00
00
00
00
01
10
10
00
11
00
01
10
00
01
00
10
11
01
00
10
10
01
01
10
10
10
11
00
00
00
01
11
11
11
10
10
00
10
00
11
10
00
01
10
10
01
10
10
00
00
10
11
11
00
10
10
10
01
10
01
01
10
10
00
11
00
00
11
00
00
11
10
10
00
00
00
11
01
00
11
11
00
10
10
00
01
10
10
00
00
10
10
01
00
10
10
01
10
10
00
10
11
01
11
00
00
10
01
10
10
01
00
00
11
01
00
01
01
00
01
10
11
00
00
11
10
00
10
10
00
10
10
11
00
11
00
01
10
00
00
11
10
00
11
00
00
10
11
11
10
00
01
00
11
01
11
10
00
00
11
10
00
01
10
01
01
00
01
10
01
00
00
00
10
10
01
00
11
00
10
00
11
10
11
10
01
00
01
00
10
11
11
11
00
10
10
01
11
10
00
01
01
11
00
01
01
10
10
00
01
10
10
00
10
00
11
01
00
11
11
00
11
00
01
01
11
10
11
10
01
10
10
00
10
01
00
10
10
10
01
00
01
10
10
01
11
10
00
00
10
00
11
10
00
01
00
11
11
00
01
10
10
11
00
00
10
10
10
11
00
01
11
01
00
10
10
11
00
10
10
00
00
00
00
00
01
01
10
01
10
11
10
00
00
10
00
01
11
01
00
10
10
01
10
01
01
10
10
00
00
10
10
00
00
11
11
00
11
00
00
10
10
10
10
11
01
01
00
01
10
10
00
00
10
00
11
11
10
00
00
10
00
00
10
10
10
00
00
01
11
01
00
01
00
00
10
10
10
10
10
00
10
11
01
00
11
11
00
11
01
10
11
10
01
10
11
00
01
10
10
10
00
01
11
10
00
00
10
11
00
10
10
00
00
11
00
10
10
00
00
10
00
01
01
00
10
00
10
10
10
00
10
01
00
10
10
00
00
01
00
00
00
00
10
01
10
11
00
00
11
01
00
10
10
01
10
10
00
00
01
01
11
11
01
10
10
00
00
00
01
10
10
10
00
00
00
11
00
11
10
00
00
10
11
00
11
11
10
01
01
00
10
01
00
00
01
10
11
00
00
01
11
10
10
00
10
11
10
11
00
00
10
10
10
00
00
01
10
01
01
10
00
00
10
01
10
10
00
10
10
01
01
11
00
00
10
10
10
01
10
00
01
00
10
00
00
10
00
00
10
01
00
10
11
00
01
00
11
10
00
10
00
10
10
11
10
01
11
00
00
10
10
01
00
10
01
00
10
00
10
11
00
00
10
10
10
01
10
10
00
10
01
01
00
00
10
10
10
00
00
00
10
00
01
10
00
00
10
10
00
10
00
00
11
00
00
10
00
10
11
10
00
11
00
11
10
00
11
01
10
00
00
01
01
10
00
00
00
11
01
10
11
01
11
00
00
01
10
11
00
10
11
10
00
10
10
00
01
00
11
00
10
01
10
10
10
00
00
10
10
10
10
00
00
11
10
10
00
00
11
01
11
01
01
11
10
10
11
00
00
10
10
00
11
10
00
10
00
00
00
00
10
01
10
10
10
01
10
11
00
11
00
01
10
00
11
11
10
00
00
11
00
00
00
00
10
01
01
10
11
10
00
10
01
00
00
10
11
00
10
01
00
11
11
00
00
10
01
00
10
10
10
10
10
11
10
01
00
00
11
10
10
01
01
11
00
00
10
01
10
01
00
01
10
10
00
10
00
00
10
10
00
01
00
11
00
00
00
00
11
00
10
10
10
01
00
10
01
00
10
10
00
00
00
10
10
11
00
10
10
01
10
01
00
01
00
11
10
11
11
11
11
00
11
00
00
00
11
10
11
01
00
10
10
01
10
01
00
00
00
10
00
01
01
10
11
00
11
11
00
01
10
10
00
10
10
10
00
00
00
00
00
00
10
11
10
10
00
00
00
10
11
10
00
10
00
01
11
10
00
11
10
10
10
01
11
00
01
11
00
11
00
10
00
00
10
10
01
01
00
00
00
11
10
10
11
10
11
11
10
01
11
00
00
10
11
00
00
11
00
10
01
01
01
10
01
11
00
10
01
00
01
00
11
01
11
00
10
11
00
10
11
00
01
10
01
10
00
10
00
00
10
00
00
01
11
00
01
10
00
11
01
01
00
00
11
10
10
01
00
00
11
11
00
10
10
00
10
00
01
00
00
00
11
10
10
00
00
10
10
11
10
10
11
11
00
10
00
00
10
00
00
00
11
10
00
10
01
10
10
10
00
00
00
10
10
11
00
11
00
10
00
10
10
10
10
00
10
10
10
01
00
10
10
10
00
01
00
00
00
11
10
01
00
10
10
00
00
00
00
00
10
11
10
10
01
10
00
00
10
10
10
00
11
00
10
00
01
10
11
00
10
01
01
00
00
00
10
00
10
01
10
10
00
11
10
00
00
00
10
11
11
11
00
01
00
01
10
00
10
10
10
00
00
11
01
11
01
00
10
10
11
10
01
00
11
01
10
00
01
00
11
10
00
00
00
11
00
00
10
10
01
10
11
00
01
01
00
10
00
11
10
00
10
10
00
00
10
10
00
01
11
00
10
11
00
00
10
10
01
01
10
10
10
01
10
10
10
10
10
01
01
01
11
01
00
00
10
10
01
00
11
10
00
10
11
01
00
00
10
10
10
01
01
10
00
00
00
10
01
00
11
10
00
01
11
11
11
10
01
01
10
00
00
11
11
10
00
00
00
00
11
11
01
00
11
01
00
10
10
00
00
00
10
01
11
10
00
11
11
11
00
00
11
11
10
00
00
10
00
00
10
10
10
11
00
11
10
10
00
01
11
00
01
10
10
10
00
10
00
00
10
11
00
11
00
00
01
00
11
01
01
00
01
10
10
01
00
01
10
00
00
00
11
10
10
01
10
10
00
01
01
10
10
11
11
10
01
10
10
11
00
00
00
11
11
00
10
11
01
10
00
00
00
00
01
00
10
10
10
10
00
11
01
00
00
00
00
10
11
10
00
00
00
10
00
00
01
00
10
10
10
00
01
10
11
10
01
00
00
01
10
01
01
00
10
01
10
11
11
00
11
10
00
01
01
10
10
10
11
00
10
00
01
00
00
10
10
10
10
10
10
00
01
00
10
00
11
01
01
11
01
10
10
11
01
00
10
00
00
00
01
10
00
10
10
11
00
10
10
10
10
01
10
01
10
10
01
10
10
01
11
11
00
00
11
10
00
00
00
11
00
00
10
00
00
10
00
00
01
00
01
00
10
00
10
10
00
00
10
01
00
11
10
10
00
00
00
11
01
00
10
10
10
00
00
11
00
00
00
00
00
01
00
10
10
01
10
00
00
00
00
11
10
10
10
00
10
10
00
00
01
10
10
01
00
10
10
10
10
00
01
01
10
01
10
00
01
00
10
11
11
01
00
11
00
01
10
10
10
00
11
11
01
01
01
10
00
11
00
01
10
10
00
10
11
11
11
00
01
00
01
11
01
00
10
10
10
00
00
10
00
00
10
11
10
00
10
11
00
10
00
01
00
00
11
10
10
00
00
00
11
00
11
11
00
01
11
01
00
00
00
01
10
11
00
00
10
00
00
00
10
10
00
01
10
01
01
10
00
10
10
10
01
00
11
11
11
01
11
10
01
00
00
01
11
10
10
01
01
00
11
10
00
10
00
01
10
10
10
00
10
10
01
10
10
10
00
11
10
00
01
10
00
10
00
01
00
00
10
10
11
00
00
10
01
11
01
00
00
10
11
10
10
00
01
10
01
10
11
10
10
00
10
00
00
10
11
10
00
00
11
01
10
10
01
00
01
11
01
10
01
11
10
00
01
00
10
00
00
11
00
11
10
10
00
10
01
01
01
10
01
11
01
10
11
10
01
01
00
01
01
00
10
10
10
00
00
00
11
00
00
10
11
01
11
10
10
01
10
00
10
00
01
10
00
11
11
10
00
00
10
10
01
00
10
01
01
11
11
00
00
10
01
00
10
00
10
11
00
01
00
10
00
10
11
00
00
11
00
11
11
00
01
00
00
10
00
00
11
01
11
10
00
00
10
10
00
00
11
11
01
01
10
00
11
00
00
11
10
00
10
11
01
10
10
01
00
00
00
01
10
11
10
10
00
10
10
01
00
11
00
00
01
11
01
10
01
00
11
00
00
10
10
00
01
10
10
10
00
10
01
01
01
00
11
10
11
10
11
01
00
10
10
01
00
01
00
01
11
10
10
10
11
00
00
10
00
01
00
10
10
00
00
00
11
10
10
00
01
00
10
11
11
01
00
10
00
01
00
00
10
00
10
10
00
11
10
00
11
01
00
11
11
00
11
10
10
01
00
00
10
00
11
10
11
10
11
10
00
00
11
00
01
01
11
00
00
11
10
00
11
11
00
00
11
10
10
01
00
10
11
00
00
00
10
11
00
10
10
10
00
11
01
01
00
11
00
01
01
00
10
10
11
10
11
00
10
01
10
00
11
10
00
00
10
11
01
00
10
01
10
10
00
01
10
00
00
10
00
01
11
10
00
11
11
10
10
00
00
00
11
00
10
11
00
10
11
11
00
10
11
01
00
10
10
10
10
00
10
10
00
11
10
01
00
00
01
10
10
01
00
11
11
00
00
10
00
00
10
00
10
10
10
10
00
10
11
11
00
01
00
00
00
10
00
10
11
00
00
11
10
00
00
00
10
10
01
10
11
10
01
00
00
00
10
11
10
00
00
11
10
00
11
10
00
00
10
10
00
01
10
11
11
11
00
00
01
10
11
00
10
11
00
10
00
00
11
11
00
10
10
11
00
01
01
01
00
00
00
11
00
10
11
00
01
10
00
00
00
00
11
10
00
11
11
00
10
00
10
10
01
01
00
10
11
10
10
10
00
11
10
01
11
01
00
11
10
01
00
10
11
00
10
10
10
00
00
11
00
00
00
01
10
11
00
01
11
10
00
01
10
00
10
10
01
01
11
01
11
10
00
10
11
11
10
00
00
01
00
01
01
10
10
00
00
11
01
01
10
00
00
00
01
10
11
00
00
11
00
00
00
01
10
00
00
11
10
01
01
00
00
11
10
10
00
01
11
01
01
10
01
10
00
10
10
00
11
01
01
11
00
10
01
00
00
10
10
10
00
01
11
00
00
01
10
00
11
00
00
10
11
10
11
00
11
11
00
01
00
01
10
11
10
00
10
10
00
10
01
10
10
10
00
01
01
10
10
10
01
00
00
10
01
01
01
11
10
00
00
10
10
00
01
00
00
10
10
01
00
10
11
00
00
01
01
01
01
10
10
10
10
00
00
11
01
10
00
00
00
10
00
00
10
01
11
11
00
00
01
00
00
10
11
00
01
00
00
10
10
00
10
10
00
00
10
10
10
10
00
01
00
10
01
00
00
01
01
11
11
01
10
01
00
00
00
10
11
00
00
10
10
00
10
11
11
01
00
10
10
00
00
10
01
00
01
10
10
11
10
01
11
11
10
01
10
10
00
01
00
10
10
11
01
00
01
11
10
01
00
00
00
00
11
10
10
11
00
00
10
01
10
10
10
00
10
10
00
10
11
10
00
10
10
00
00
00
11
11
00
11
00
00
10
01
00
00
01
10
01
10
01
10
11
01
10
10
00
10
10
10
10
00
10
10
10
10
11
00
01
00
10
10
10
00
00
11
10
00
10
00
10
01
00
10
00
10
00
00
10
00
00
00
10
10
11
10
00
01
00
10
10
11
10
11
10
00
00
00
10
10
10
01
00
01
11
00
00
11
10
01
01
11
11
00
00
00
01
11
11
00
10
10
10
10
01
11
10
00
11
01
01
10
01
00
11
00
01
00
01
10
10
01
10
11
00
01
10
10
01
11
00
01
00
11
00
11
10
11
11
01
00
11
01
01
01
11
01
10
10
01
10
11
11
00
01
11
00
11
00
10
11
00
00
00
10
10
11
10
01
01
10
01
11
10
11
10
00
10
10
00
00
10
11
10
01
10
11
00
00
01
10
01
00
11
10
01
00
10
00
01
11
10
00
10
00
10
10
10
10
01
00
00
00
00
10
00
00
10
01
10
10
10
10
00
01
01
11
00
01
10
10
10
10
11
01
00
11
10
01
10
11
00
00
10
10
10
10
10
10
00
00
10
00
10
01
11
00
11
00
00
00
00
10
00
00
10
11
11
11
00
11
10
00
01
10
11
10
10
10
11
00
00
10
10
00
10
11
10
01
00
11
00
11
10
00
00
01
01
11
10
00
01
10
11
10
01
00
01
11
10
11
00
00
11
00
00
00
11
10
10
00
00
10
11
00
11
11
10
00
11
00
01
00
10
00
00
00
00
11
10
10
00
10
10
10
00
10
10
00
10
10
00
00
00
10
01
01
00
10
00
01
01
10
00
00
00
01
11
10
11
10
00
01
11
00
10
01
00
00
10
10
10
11
01
00
01
10
00
00
10
00
01
00
10
11
00
11
00
00
00
00
10
01
00
11
11
01
10
10
00
01
00
11
01
01
10
10
10
10
11
00
00
10
10
11
10
10
01
10
00
00
10
01
10
11
01
11
11
10
00
10
01
01
10
00
00
10
00
11
10
11
00
11
11
00
00
10
10
00
00
10
01
11
11
00
11
00
10
10
01
10
10
00
00
00
00
00
10
00
10
00
10
01
01
11
01
01
10
00
00
01
11
11
00
00
11
10
10
10
00
01
10
00
10
11
10
01
00
00
01
00
10
10
10
01
10
11
01
01
00
10
01
00
00
10
00
11
10
00
10
00
00
10
10
00
00
00
10
11
00
11
00
10
10
00
11
00
10
10
10
00
10
10
00
00
10
10
11
00
10
10
00
10
10
11
00
00
00
00
00
01
10
00
00
10
00
10
00
11
10
01
00
00
01
01
00
10
10
00
10
01
00
11
10
01
10
11
11
00
01
10
11
01
01
10
00
11
11
01
11
00
00
10
00
00
10
10
00
01
10
11
11
00
10
10
00
01
11
10
01
00
10
10
01
00
00
00
10
00
10
01
00
10
10
01
10
10
11
01
11
00
00
10
01
00
00
00
00
11
00
10
11
00
10
10
01
10
11
10
00
00
01
10
11
01
01
10
00
00
00
10
00
11
10
01
00
11
00
01
10
00
01
10
10
10
00
10
10
01
01
10
00
00
10
10
00
10
01
00
11
11
11
11
10
00
01
00
11
10
00
00
11
10
01
01
10
10
10
00
00
10
10
00
00
00
11
11
01
00
00
01
11
10
00
00
11
10
00
10
10
10
01
01
10
11
00
01
10
10
00
10
01
00
10
10
10
00
01
10
00
10
10
00
00
00
11
00
11
11
00
01
11
10
10
10
00
00
00
10
11
10
00
00
10
10
00
00
11
00
01
10
11
00
01
10
11
00
10
10
00
01
00
01
10
01
01
00
11
11
11
00
01
10
00
10
00
00
10
10
00
00
00
10
01
00
00
00
00
00
10
10
00
11
00
11
01
11
00
10
10
10
01
00
11
11
10
11
10
11
00
11
11
00
01
11
00
01
00
11
00
00
11
10
10
00
00
11
00
11
01
01
00
10
10
01
10
11
00
01
01
00
10
10
10
01
00
10
10
00
00
11
00
00
00
11
10
00
10
10
01
00
00
01
11
00
01
11
00
01
00
11
01
01
10
00
01
10
10
10
10
00
11
10
11
10
00
00
10
11
10
10
00
01
11
00
10
11
01
11
11
00
10
11
10
00
10
10
01
10
00
10
00
10
10
00
01
00
10
10
00
10
10
11
10
11
10
00
00
10
00
00
10
10
00
10
10
01
10
11
10
10
00
00
01
01
01
11
11
11
01
00
01
00
11
11
01
00
00
00
10
01
10
11
00
10
10
11
00
00
10
10
00
01
11
11
10
00
00
10
00
00
01
11
00
11
11
01
11
00
01
10
11
10
00
01
10
01
00
11
10
11
00
00
01
00
00
10
11
01
11
01
01
00
01
00
01
10
10
01
01
10
11
10
00
10
00
00
10
10
00
01
11
10
11
10
00
01
00
10
11
00
00
10
10
01
11
11
00
11
10
01
00
00
01
00
01
10
00
00
00
00
10
10
00
00
10
10
00
01
11
10
10
10
10
01
11
10
00
01
00
10
10
01
10
10
00
10
00
11
00
00
10
10
11
01
00
11
00
00
11
11
10
10
10
00
10
10
00
11
11
10
10
10
10
01
00
00
01
00
01
00
11
00
00
10
11
00
01
11
01
10
01
00
10
01
01
01
10
10
00
10
11
00
01
10
10
10
00
00
10
00
01
00
11
11
00
00
10
10
00
00
10
00
10
10
00
00
10
10
01
10
10
10
11
10
00
00
00
00
00
00
10
00
00
11
10
11
00
11
11
10
11
11
00
00
01
10
01
10
01
00
10
10
10
11
00
01
10
10
10
00
00
00
10
10
00
11
00
00
00
11
00
10
10
00
10
10
10
00
00
10
10
00
10
00
10
10
10
10
10
00
00
01
10
00
10
01
00
10
01
00
11
11
01
10
10
11
11
01
01
00
11
11
11
10
00
00
01
10
10
10
10
00
11
00
10
11
11
01
11
11
11
00
01
10
10
00
10
00
00
10
01
00
01
00
00
11
00
00
10
10
01
00
11
10
00
00
10
00
00
10
10
10
00
11
00
10
10
10
00
00
00
00
10
11
00
10
10
11
10
10
01
01
00
11
10
10
10
00
10
00
10
10
00
00
10
10
00
01
10
00
00
10
11
00
00
10
00
11
10
00
01
00
11
10
11
10
11
00
11
10
00
00
10
00
00
00
11
10
01
10
11
01
01
00
01
10
10
00
00
00
10
10
00
11
10
01
10
10
10
11
01
00
00
10
01
00
10
10
00
10
11
10
00
01
00
00
11
00
01
00
11
11
00
00
11
11
00
01
11
11
00
10
11
01
01
00
10
10
00
01
10
10
00
11
01
00
01
10
01
00
11
01
10
11
10
01
10
00
00
01
11
10
10
01
01
00
00
10
00
00
11
11
00
10
01
00
00
00
00
00
10
10
00
01
00
10
10
11
11
00
10
10
11
11
00
00
10
00
11
10
00
11
10
01
10
11
10
01
00
01
00
01
00
10
00
00
00
01
00
11
10
10
00
00
01
11
10
01
00
00
01
10
10
10
11
00
11
11
00
01
01
00
10
10
01
10
10
01
10
10
10
00
10
10
11
00
00
01
00
11
01
00
10
01
11
10
01
01
10
10
01
00
00
11
10
01
10
11
00
11
10
11
10
00
10
10
00
10
00
01
00
10
01
00
00
10
11
00
00
00
00
10
11
10
10
01
10
01
10
11
01
10
10
01
11
00
01
10
10
10
00
10
00
11
10
00
10
10
10
10
00
00
00
10
11
00
10
01
00
11
10
11
01
00
10
10
00
00
11
10
10
00
00
01
10
10
00
11
10
00
00
01
00
00
10
10
11
10
10
00
10
00
10
01
10
10
00
00
00
00
01
11
00
01
10
00
00
01
00
11
00
00
10
10
10
01
00
11
10
11
00
11
10
01
00
01
00
10
01
10
00
00
00
11
11
00
11
00
01
01
00
11
10
00
10
10
00
10
10
01
10
10
10
10
01
01
01
10
11
00
10
10
11
11
01
11
00
01
11
00
01
11
11
00
01
01
10
10
10
10
10
01
01
00
01
10
11
01
10
10
01
00
10
00
01
10
10
10
00
11
10
11
01
00
00
10
10
00
00
00
11
01
10
00
00
10
01
10
00
10
10
10
11
11
00
00
10
11
00
11
10
00
10
11
00
10
00
00
00
10
10
00
01
10
00
01
00
01
10
10
00
01
10
10
00
00
01
00
00
00
10
00
00
10
10
00
10
11
00
10
10
01
00
00
01
11
10
01
11
01
10
01
00
00
00
11
10
00
10
10
10
10
00
01
00
11
01
00
00
10
10
01
00
11
10
01
11
11
11
10
00
11
11
00
10
00
00
10
10
00
10
10
10
10
01
10
00
01
11
00
10
11
00
10
00
10
10
10
01
01
10
00
00
10
00
10
00
11
10
01
00
10
10
00
01
10
10
00
01
11
10
00
10
01
11
01
10
10
00
11
00
01
00
11
10
11
11
00
00
10
10
00
11
10
00
00
10
10
00
10
10
00
11
00
00
10
10
00
00
10
01
10
10
01
00
01
11
11
01
01
10
10
00
10
11
00
00
10
10
00
00
01
10
01
10
00
10
10
01
10
11
00
10
10
00
00
11
11
00
01
11
00
00
01
00
11
11
00
01
10
10
10
00
00
10
10
01
01
10
00
10
00
00
10
00
10
10
11
00
01
11
00
00
00
10
10
01
00
00
10
00
01
00
00
01
00
00
10
00
01
01
01
11
00
11
11
01
01
11
00
00
10
11
10
00
00
10
00
01
11
00
01
01
10
10
00
11
11
00
00
00
11
01
00
11
10
00
11
01
00
01
10
00
11
00
00
10
11
00
01
11
00
01
00
10
10
10
01
11
10
00
00
01
01
00
10
10
10
00
01
00
11
10
01
00
01
10
11
10
00
00
00
10
01
11
10
11
10
10
11
00
10
00
00
10
11
10
10
11
00
10
10
10
00
11
10
00
00
00
10
00
01
11
00
11
10
10
11
10
00
10
11
10
10
00
00
01
11
00
01
00
10
00
00
10
00
10
10
10
11
11
10
01
10
00
00
10
01
10
00
01
00
10
11
00
11
10
00
00
10
10
00
10
11
01
01
11
00
00
10
10
00
10
11
10
10
00
00
10
11
10
01
00
01
00
00
00
10
01
00
00
10
00
00
00
10
11
10
10
01
01
10
11
11
10
10
10
00
00
10
01
10
00
11
00
00
10
10
00
00
11
11
00
01
00
10
00
01
00
01
00
11
11
11
10
00
10
00
01
10
10
01
00
10
00
11
10
10
10
00
01
11
01
10
10
00
10
10
10
11
00
00
01
00
11
10
01
01
01
00
11
10
00
11
10
01
10
00
00
10
10
00
10
11
00
00
00
10
11
11
00
00
10
10
10
00
00
10
01
00
11
11
10
00
11
11
00
00
11
11
00
00
01
11
10
01
00
01
00
10
00
11
11
00
00
00
10
10
11
00
00
10
01
01
10
10
00
10
00
00
10
10
00
10
00
10
11
01
11
11
01
10
00
10
00
11
01
00
11
00
10
10
00
10
10
10
00
00
01
01
01
11
01
00
10
01
10
11
01
00
10
10
01
00
01
11
10
01
00
10
00
01
11
00
11
10
10
11
01
00
10
00
01
11
00
00
00
01
00
10
01
11
10
00
10
10
10
00
10
10
11
00
00
10
00
10
10
11
10
11
00
00
01
11
01
11
10
00
01
10
01
00
10
10
10
00
00
11
00
00
10
01
11
10
10
00
10
11
10
10
00
10
10
00
10
00
00
10
10
00
10
11
10
10
01
00
00
11
00
01
11
10
00
00
10
00
01
01
11
01
11
00
00
10
00
01
10
10
01
01
10
10
10
01
10
10
01
01
10
10
10
11
11
00
10
00
00
10
11
10
00
10
11
00
00
10
00
10
11
10
01
01
00
11
00
01
10
11
01
10
10
01
00
10
10
00
11
10
00
10
00
01
00
00
01
10
11
10
01
10
00
10
10
00
10
00
00
10
10
10
00
10
00
11
11
10
10
10
10
00
10
00
10
01
00
10
10
11
01
01
10
11
01
00
10
00
00
10
10
01
11
00
11
01
10
10
10
10
01
10
10
00
10
00
01
01
00
10
00
01
10
10
11
10
00
00
01
10
11
00
01
01
10
01
10
10
00
01
10
00
00
10
11
11
01
00
11
10
10
10
00
00
10
00
11
00
11
00
00
00
01
00
10
10
01
10
11
00
10
10
10
00
10
00
01
00
11
00
10
01
00
01
01
00
00
10
11
01
00
11
11
00
11
10
10
00
11
10
01
10
00
00
10
10
10
01
00
11
11
00
01
10
10
00
00
10
10
00
01
10
10
10
11
00
11
01
00
10
00
01
11
10
00
01
01
00
10
00
00
00
00
01
01
11
11
00
10
11
10
10
00
10
11
11
01
10
11
01
11
11
00
00
11
10
10
11
00
00
10
11
11
01
11
01
01
00
00
10
10
10
00
01
00
00
01
11
10
11
00
11
11
00
00
11
10
11
01
00
10
10
00
10
10
01
00
01
00
11
10
10
01
10
00
01
00
10
10
10
10
00
00
00
00
11
00
10
00
11
00
00
00
01
00
10
11
10
00
10
00
10
00
00
10
11
00
01
11
10
00
01
10
00
11
10
00
10
10
00
00
11
11
10
11
10
00
01
00
01
00
10
00
00
10
00
00
11
10
11
01
01
01
00
10
10
10
10
00
01
10
00
01
10
00
00
10
01
00
11
00
00
00
11
10
10
01
01
00
11
10
00
10
11
00
01
11
10
10
11
11
10
11
01
00
11
11
01
10
11
01
00
11
11
10
10
00
00
00
00
11
00
10
10
10
10
10
00
11
10
00
11
10
00
10
00
10
00
10
00
00
10
01
10
10
00
10
11
10
11
00
10
11
00
00
01
10
10
10
00
00
10
10
10
10
01
10
00
00
00
10
10
11
11
10
10
10
11
01
10
00
10
10
10
01
00
10
00
00
10
00
10
00
10
10
00
10
00
00
01
10
10
00
00
10
01
00
10
00
01
00
11
10
01
11
10
10
10
00
00
00
11
00
00
00
01
10
01
00
10
00
10
10
10
00
00
00
10
10
11
00
00
00
00
00
11
10
11
00
00
00
00
00
10
10
01
10
10
01
11
10
00
00
01
10
10
00
11
10
10
00
00
10
00
01
10
01
00
01
11
10
00
10
10
00
00
00
10
10
10
11
01
10
10
00
10
10
11
01
01
11
10
00
01
00
00
10
00
00
01
00
10
00
11
10
11
00
00
00
00
00
00
00
10
00
11
00
10
10
01
00
10
10
01
01
11
11
00
11
10
10
10
11
00
01
10
11
10
10
00
10
00
00
00
10
10
11
01
10
11
00
10
10
10
00
01
10
10
01
00
01
10
01
10
11
00
00
10
11
00
01
00
10
10
11
00
00
01
10
11
01
00
10
10
00
10
10
01
01
00
00
10
10
10
10
00
01
10
00
10
00
00
00
11
10
10
11
01
10
00
10
00
00
10
01
11
11
11
10
10
01
10
11
10
01
00
11
00
00
00
11
10
01
00
11
01
10
10
00
10
00
01
11
11
10
10
01
10
10
01
00
10
01
00
10
11
10
00
00
01
10
01
01
10
01
00
11
10
01
01
00
00
11
11
00
10
11
11
10
11
11
11
00
11
00
00
10
11
00
00
01
11
10
10
11
11
00
10
00
00
00
10
00
00
10
10
00
10
10
10
10
00
10
00
00
10
10
10
00
10
01
01
01
00
10
10
00
10
11
00
00
00
01
00
00
10
10
01
00
00
10
00
00
00
00
10
01
00
01
00
01
10
11
11
01
10
00
00
11
00
00
10
10
01
01
00
01
10
11
00
00
11
00
10
01
01
11
00
10
11
00
00
00
01
10
10
00
00
10
10
00
10
00
11
00
01
11
11
10
11
11
11
01
00
00
11
10
01
10
11
10
00
00
10
01
00
01
10
01
00
10
10
00
10
11
10
10
10
11
11
11
11
01
00
11
00
01
01
10
10
00
00
10
01
00
10
01
10
00
10
00
01
10
10
10
01
01
10
10
01
01
01
01
10
10
10
11
10
01
00
10
10
10
10
10
00
00
01
11
10
00
11
10
10
10
10
00
00
10
01
10
01
10
10
00
11
10
10
00
00
10
00
01
10
11
11
10
00
00
11
10
11
01
00
11
11
10
00
00
10
10
10
01
01
11
10
01
10
10
00
11
10
01
10
10
10
10
01
00
10
11
00
10
11
00
11
01
01
11
01
01
00
11
10
00
11
11
00
00
10
10
00
01
10
10
01
00
10
10
01
00
11
11
00
00
11
00
00
10
11
10
00
11
00
00
10
11
10
10
10
10
00
10
01
01
01
00
10
01
00
00
01
11
10
10
10
00
11
10
11
11
00
10
10
10
01
00
01
00
00
01
10
11
11
01
00
01
00
00
10
11
10
10
00
01
00
11
11
00
00
11
11
00
01
01
00
00
00
11
01
10
11
01
00
10
00
11
11
00
10
00
10
00
10
00
00
10
11
01
00
00
01
11
10
00
01
00
10
10
10
00
00
00
01
11
10
01
01
11
11
11
00
00
11
10
10
00
00
01
11
01
10
00
10
11
00
11
11
01
01
11
01
11
00
00
01
10
11
00
00
00
00
11
10
00
00
01
11
01
11
00
01
11
00
10
10
00
01
10
01
00
11
10
00
00
00
11
10
10
00
10
00
10
11
00
00
10
10
11
00
10
11
11
00
00
01
00
00
11
10
01
10
00
01
10
00
00
01
00
00
10
11
10
10
11
11
00
11
01
00
11
01
10
01
00
11
11
10
10
10
00
00
00
10
00
10
01
00
11
11
01
00
01
01
11
10
00
10
11
01
00
11
11
10
10
00
00
10
01
00
01
10
10
10
00
10
11
11
00
00
00
10
10
10
10
11
00
10
10
00
00
01
10
10
01
10
00
10
00
10
00
11
00
01
10
10
10
00
01
11
01
01
10
01
10
10
10
01
10
10
11
00
10
00
00
11
10
00
11
10
00
00
00
10
11
00
11
11
10
00
00
00
10
00
11
01
11
11
00
00
11
10
01
11
10
00
01
11
00
01
01
00
11
10
11
01
00
10
11
10
00
01
11
00
00
10
00
01
10
01
00
11
10
00
00
10
10
00
01
10
10
10
11
00
10
00
00
10
10
00
00
01
00
10
00
10
10
10
00
00
00
00
10
11
10
11
01
00
00
10
10
10
00
01
00
10
10
10
10
11
10
00
11
11
11
00
10
01
01
10
10
00
00
10
00
00
01
11
11
01
10
11
11
00
10
00
01
11
11
00
01
10
10
10
01
10
10
11
00
00
10
10
10
01
00
10
01
00
00
11
10
10
11
00
10
10
11
00
10
00
01
10
01
11
10
00
10
10
10
10
01
01
01
01
10
10
10
00
00
00
11
11
10
10
00
00
11
00
00
10
01
00
10
10
11
01
01
00
01
00
11
00
01
11
10
11
10
11
00
00
10
10
10
10
00
00
00
00
00
00
11
11
00
10
01
10
01
01
10
11
10
00
11
00
00
00
00
11
11
01
00
00
10
11
01
10
11
00
11
10
10
00
01
10
10
10
01
10
00
10
00
00
00
01
10
10
11
11
01
00
00
10
00
00
11
01
01
11
10
10
01
10
11
00
01
11
00
01
10
10
01
10
10
00
00
10
10
00
01
10
00
10
00
10
10
10
00
11
00
11
01
00
00
01
00
10
00
10
01
01
10
00
10
10
10
00
11
10
00
11
10
10
11
00
01
10
10
10
00
00
10
00
11
10
01
10
01
11
10
01
00
01
10
11
01
11
00
01
01
11
11
00
10
10
00
01
10
00
00
10
01
10
10
10
01
10
01
00
00
11
10
00
00
10
10
10
00
00
00
11
10
11
00
00
01
01
11
00
00
10
10
00
10
01
10
00
00
01
00
10
10
00
01
00
01
01
10
10
10
10
11
00
00
00
00
11
00
11
00
01
11
10
10
01
10
10
10
00
10
00
00
10
00
11
01
11
10
10
10
00
00
11
10
00
00
10
00
11
11
10
00
00
01
11
11
00
00
00
00
00
01
11
10
10
00
11
10
10
00
10
01
01
10
00
01
00
01
10
00
10
00
00
11
00
00
00
10
01
00
00
01
00
11
11
10
11
01
01
10
10
00
00
11
00
00
11
11
01
00
10
00
00
10
10
10
00
01
10
10
00
10
11
00
01
11
10
00
00
10
00
10
10
00
10
10
00
00
00
01
00
10
01
11
11
10
10
00
10
00
10
00
01
00
00
11
01
10
11
00
01
11
10
01
01
00
10
01
00
10
10
10
00
10
10
00
10
10
00
11
10
11
10
00
00
11
10
01
10
01
00
11
10
10
11
00
00
10
11
00
10
11
11
00
10
11
01
11
10
01
10
10
11
00
01
10
00
10
11
00
01
00
01
01
10
11
00
10
11
11
01
11
00
01
00
10
00
00
11
11
10
00
10
01
10
10
00
01
10
11
00
10
11
00
00
10
11
00
10
10
01
00
01
00
00
11
11
01
10
11
01
00
10
01
11
11
10
01
10
00
10
10
11
10
01
10
00
00
00
10
00
01
11
00
00
01
11
10
00
01
00
01
10
10
00
10
00
00
10
11
10
01
00
00
11
00
10
10
01
00
00
00
10
11
00
10
00
01
10
00
10
10
10
00
01
11
01
00
01
01
10
10
00
10
10
00
00
11
00
11
00
00
01
00
00
00
01
10
11
11
01
00
00
10
10
01
00
10
10
10
10
01
11
00
00
10
00
00
10
10
01
00
11
10
01
01
01
10
10
10
00
01
11
00
00
10
10
10
11
01
10
10
01
10
10
10
00
11
00
00
10
10
11
10
00
00
10
00
01
10
10
10
10
00
10
00
00
10
01
10
11
00
11
01
10
01
00
00
11
00
00
11
10
11
00
01
00
10
11
01
10
00
10
10
10
01
00
11
11
01
00
00
10
01
00
11
00
00
10
10
00
10
10
00
01
10
10
11
10
11
10
10
11
00
11
00
00
10
01
01
00
00
10
00
00
10
00
01
10
10
11
00
10
10
00
00
00
10
11
01
00
00
10
01
00
01
10
10
11
00
00
00
10
11
10
00
10
10
10
00
00
11
11
01
10
10
01
00
00
01
10
10
00
00
01
00
11
11
10
10
01
11
10
01
00
00
10
00
10
10
00
00
10
01
00
10
10
00
10
11
01
00
00
10
00
10
10
00
00
00
10
10
01
10
01
10
11
11
10
00
00
01
11
00
00
10
01
10
01
01
10
10
00
00
11
10
00
11
00
00
00
00
10
11
11
10
10
11
10
01
01
00
01
00
10
11
10
01
01
10
01
10
10
10
01
00
11
10
00
01
10
01
10
00
00
10
00
10
00
01
10
01
10
01
01
11
00
00
01
01
00
10
00
11
10
00
00
10
11
11
00
00
01
10
00
01
10
10
10
10
11
01
00
01
01
00
10
00
01
10
00
01
01
10
10
10
11
01
01
10
11
10
00
10
10
01
00
10
00
10
10
00
01
00
00
10
00
10
00
10
10
01
00
10
00
11
01
10
10
00
10
10
10
01
10
00
00
00
11
10
11
00
00
11
11
00
10
11
00
11
00
00
10
10
01
10
10
01
00
01
10
10
10
11
00
00
10
11
10
01
11
10
10
10
00
01
00
00
10
10
01
10
11
10
00
01
00
01
00
00
11
11
00
01
10
10
10
01
00
01
10
10
00
01
00
01
10
10
00
00
01
10
10
00
10
11
10
00
11
10
01
00
00
10
00
11
00
00
01
00
01
10
00
00
00
10
11
00
01
00
10
10
10
00
00
00
00
00
00
11
00
00
10
11
00
10
00
11
10
10
10
00
01
00
11
10
01
10
00
10
00
10
10
10
00
10
11
01
01
00
11
10
00
10
10
00
10
01
01
10
10
00
10
01
11
10
11
00
01
11
00
10
10
01
01
11
10
00
01
00
01
11
11
01
01
00
10
00
01
00
00
10
10
10
10
00
10
00
00
00
01
00
11
10
00
10
10
10
10
10
00
10
11
01
10
00
10
10
00
10
11
00
00
11
10
11
00
10
01
10
00
00
11
11
00
01
11
11
11
10
00
10
10
00
11
10
01
01
00
00
10
11
10
11
01
00
01
00
11
10
00
01
10
11
00
10
11
01
10
00
00
10
10
00
00
00
01
10
00
01
11
11
11
00
10
10
00
10
10
00
01
10
00
00
00
10
01
10
10
01
11
11
01
01
10
10
00
01
00
10
10
11
01
00
10
01
00
10
10
00
10
00
10
10
10
10
11
01
00
11
10
00
10
01
01
11
11
00
10
00
00
10
01
00
10
01
10
00
10
01
00
10
00
01
00
00
10
10
10
11
11
00
11
00
11
00
00
01
00
11
10
10
00
00
00
00
11
10
10
01
00
00
10
10
01
10
11
00
00
11
01
00
10
00
00
10
01
11
11
11
11
00
00
00
00
01
00
10
10
01
01
00
11
00
10
00
11
11
00
00
10
11
00
11
00
11
01
00
00
00
10
10
00
00
10
01
00
00
10
00
11
11
01
11
00
00
10
11
10
01
00
10
10
00
10
01
00
11
00
11
10
00
10
01
00
11
00
01
00
00
00
10
01
00
11
11
10
01
10
11
11
00
00
10
10
01
01
00
10
00
00
10
10
11
11
00
11
01
00
00
01
10
10
00
01
11
11
01
00
00
10
10
10
00
01
11
00
10
11
00
10
00
00
00
11
01
10
10
11
00
11
10
00
01
11
10
10
10
00
10
10
00
00
10
10
10
10
01
11
10
11
10
10
10
00
00
11
10
01
10
11
10
00
10
11
11
00
00
10
00
01
11
01
00
11
11
01
10
00
00
10
10
01
10
00
11
10
01
11
11
10
01
00
01
00
10
10
10
00
00
10
10
00
11
11
01
10
01
00
00
01
00
01
10
00
00
11
10
00
00
10
10
10
10
10
10
00
10
00
10
00
00
00
10
10
00
10
00
11
11
11
10
10
10
11
00
01
00
00
11
10
11
01
10
11
01
01
10
00
00
00
10
11
00
10
01
00
10
10
01
00
00
10
10
10
11
10
10
10
00
00
10
00
00
10
11
11
11
11
00
01
00
10
00
10
11
00
01
10
00
00
10
00
00
10
11
00
10
11
01
00
00
00
01
10
10
00
10
01
11
10
01
00
11
11
10
00
10
11
10
00
00
10
00
00
11
10
00
00
00
00
10
01
10
10
00
00
00
11
10
01
00
10
00
01
11
11
01
11
10
11
00
00
11
10
01
01
11
10
00
01
00
10
10
00
00
00
10
11
01
01
11
01
01
00
00
10
01
11
10
01
00
01
10
10
00
01
10
11
01
00
00
10
11
01
01
10
00
10
11
00
00
00
10
00
10
01
10
11
00
00
11
01
01
11
00
00
11
11
10
00
00
11
01
10
01
11
10
10
00
10
00
10
10
01
10
00
11
00
01
11
01
00
00
10
01
10
10
00
10
01
11
00
10
10
00
00
01
11
00
00
10
10
10
10
11
01
00
10
11
10
01
00
00
00
10
10
10
11
10
01
10
10
10
11
01
00
01
00
10
10
10
10
00
10
10
01
00
00
11
10
10
00
00
10
11
00
00
00
10
00
10
10
10
10
01
00
10
01
01
00
10
00
10
10
10
10
01
10
11
00
10
00
10
10
01
11
10
10
00
10
10
10
10
01
00
11
01
10
00
11
01
00
10
10
11
00
00
01
11
00
10
11
01
10
10
11
01
10
00
00
00
01
10
00
11
00
10
10
01
11
10
10
01
10
10
01
00
10
10
11
00
10
10
00
01
10
11
10
11
10
01
11
11
10
10
11
01
01
10
00
10
10
00
10
01
11
10
00
10
10
00
01
10
00
10
10
01
01
11
01
01
10
11
11
00
01
11
00
01
10
11
00
00
11
00
10
11
11
01
10
11
10
11
10
10
11
00
00
10
00
01
00
10
10
10
11
10
01
10
00
00
01
00
01
00
10
00
00
10
11
00
00
00
10
00
01
10
10
00
01
11
00
11
10
10
00
10
00
00
01
10
10
11
00
00
00
01
00
01
10
00
11
10
01
00
10
10
00
11
10
01
00
10
11
11
10
10
10
11
10
00
00
10
10
00
00
00
10
10
01
10
11
11
10
01
00
01
00
00
10
01
01
10
00
10
00
10
10
01
00
10
10
00
10
00
01
10
01
00
00
00
10
10
10
00
01
00
10
00
01
10
10
00
11
00
10
10
00
00
01
00
10
10
00
10
10
00
11
10
00
11
10
11
00
00
01
00
00
00
10
10
10
00
00
00
00
11
10
10
00
10
11
10
01
11
10
01
00
10
00
00
10
00
00
11
01
10
11
01
00
00
11
10
10
10
00
00
00
00
00
01
11
10
10
11
10
10
10
11
00
10
11
10
00
01
10
00
11
01
11
01
11
11
01
00
11
00
00
01
10
10
00
00
11
00
10
00
01
10
10
10
00
00
10
01
00
01
00
01
00
01
10
01
10
00
10
10
00
01
10
11
10
01
10
11
00
00
10
01
10
10
10
00
10
00
01
10
00
00
00
00
00
10
11
00
00
00
11
00
00
00
10
10
00
10
11
10
00
10
10
11
11
01
00
10
10
10
10
00
00
10
10
10
10
10
11
00
00
10
11
00
10
00
01
10
10
01
00
11
10
00
00
10
10
10
00
01
00
10
01
10
00
11
00
10
00
00
10
11
01
11
10
10
10
10
10
01
11
10
00
01
11
10
10
00
00
00
11
11
01
10
01
01
10
00
10
10
00
10
11
10
10
00
00
10
10
10
00
00
00
11
01
10
11
00
00
01
10
01
01
00
10
10
10
10
10
01
10
10
00
10
00
11
01
11
01
00
01
00
01
10
00
00
11
01
00
00
11
11
01
10
00
00
10
00
10
01
00
10
01
00
11
00
11
01
01
10
01
10
11
10
00
10
10
00
00
10
11
01
00
10
00
00
01
11
11
00
00
01
10
00
00
10
10
10
00
01
11
01
00
11
11
10
00
10
00
00
10
00
00
00
10
01
01
11
00
00
10
10
10
00
01
11
00
01
11
00
00
00
00
11
00
10
11
01
11
10
00
00
01
10
00
01
10
10
00
10
10
11
00
00
10
10
00
10
01
11
00
00
00
10
10
00
00
01
10
10
00
10
11
11
01
00
10
10
00
10
10
01
01
10
10
00
00
00
01
00
10
10
00
00
00
10
11
11
10
01
00
11
11
01
01
00
00
10
00
00
10
10
00
00
10
10
10
11
10
11
10
01
01
00
01
10
01
10
11
00
00
11
11
01
10
00
00
01
11
00
11
11
01
11
01
10
00
00
11
00
00
11
10
11
11
11
00
00
10
10
11
00
00
10
01
00
11
10
01
11
10
11
00
00
10
01
00
10
10
11
10
01
00
00
00
10
00
00
10
01
01
00
10
00
10
10
01
11
00
11
10
10
10
10
10
00
01
00
10
11
11
10
00
00
00
11
11
00
01
10
10
00
10
10
10
00
11
01
10
10
11
00
10
10
00
10
00
10
00
10
11
11
11
10
01
00
00
00
01
01
11
00
00
01
00
11
00
01
10
10
11
00
10
10
10
10
10
00
00
00
10
00
11
10
11
00
11
10
10
10
00
00
10
10
00
10
10
11
00
10
00
00
00
11
11
00
10
01
00
00
10
10
00
10
00
10
01
01
10
10
10
11
11
10
00
00
10
01
01
00
00
00
00
10
11
10
00
10
00
00
10
11
10
10
00
00
11
01
01
01
11
10
00
11
01
01
11
00
00
00
01
10
10
11
01
11
00
00
00
10
11
10
10
01
00
00
01
10
00
01
11
00
00
10
00
11
00
10
00
11
00
01
00
10
11
00
10
11
10
10
11
01
00
01
00
01
00
10
00
00
00
10
00
01
10
10
00
10
10
11
10
00
00
10
01
11
01
00
10
00
00
10
00
00
10
10
00
10
10
11
00
00
01
11
01
10
11
00
11
01
10
10
10
10
01
00
10
11
10
11
01
01
10
01
00
11
01
00
11
00
00
00
01
10
11
00
01
10
00
10
10
00
00
01
10
10
01
10
11
00
11
10
01
00
11
00
00
11
11
10
11
00
00
00
11
00
10
11
01
10
00
00
10
00
00
11
10
00
00
01
00
00
10
00
10
11
10
11
00
01
11
00
01
10
00
00
00
00
00
11
11
11
10
00
00
00
10
11
00
00
00
11
10
11
00
00
00
11
11
00
10
11
00
11
00
01
10
11
00
01
10
11
00
11
11
11
11
00
00
11
11
00
00
10
11
01
00
10
01
00
10
10
00
10
01
01
10
10
01
00
11
00
11
01
00
01
10
01
00
00
11
10
01
01
10
11
10
10
11
00
01
00
00
10
10
01
01
00
10
01
00
10
10
11
11
01
10
10
10
11
11
01
00
10
11
11
11
00
00
10
10
00
10
10
00
10
10
10
01
11
00
10
00
00
00
00
10
11
10
10
00
00
11
10
10
11
11
01
10
10
00
00
10
10
00
00
10
11
11
00
10
10
00
10
10
10
01
11
11
00
01
00
00
11
10
00
10
00
01
01
00
01
10
01
11
10
10
01
11
11
10
00
01
10
00
00
11
10
00
10
00
00
00
01
11
00
00
01
10
00
10
01
10
10
11
00
00
11
00
00
11
10
00
10
10
01
10
11
11
10
00
10
10
11
00
00
10
10
00
01
01
11
11
10
10
10
01
00
10
10
10
11
00
00
11
10
00
10
10
00
10
00
11
10
00
11
00
01
10
11
10
10
10
01
00
10
00
10
10
00
00
00
01
10
11
10
00
00
10
00
01
10
10
11
00
01
01
00
10
10
00
10
01
00
10
00
00
01
11
10
00
00
10
01
00
10
11
00
01
10
11
00
11
00
11
00
00
00
00
10
10
00
00
01
10
10
10
10
10
00
10
00
00
00
10
00
00
11
00
00
00
10
10
01
00
01
10
11
00
10
00
11
00
00
10
11
10
01
00
00
10
01
10
00
10
11
00
01
10
00
01
00
00
10
00
11
11
10
10
00
10
00
00
10
10
01
11
00
00
11
10
00
01
00
10
10
00
00
00
11
00
01
10
10
10
01
10
10
10
00
00
10
10
00
10
10
00
00
00
10
10
01
10
01
10
10
01
10
00
00
00
10
10
01
10
00
01
00
00
11
11
01
01
11
11
01
01
00
11
10
00
01
01
10
00
11
11
11
00
10
10
01
00
01
00
10
00
01
11
00
01
10
00
00
00
00
01
10
11
10
00
01
00
11
11
10
01
00
00
00
00
11
10
00
01
01
11
10
01
11
01
10
00
01
00
10
01
10
10
00
01
11
11
10
01
10
10
10
01
00
11
11
00
01
11
01
01
00
11
00
01
10
00
00
11
11
11
10
00
01
10
00
11
10
00
11
10
01
10
10
10
11
00
10
01
00
10
01
01
11
00
00
10
01
11
00
10
10
10
10
10
00
01
01
10
11
10
00
00
00
10
10
10
00
01
00
11
10
00
01
10
11
10
10
01
10
01
00
00
10
11
11
10
00
00
10
00
00
10
00
11
10
10
10
01
10
10
00
01
10
10
11
00
10
01
10
10
00
11
01
00
01
01
10
11
10
11
01
11
10
00
10
11
00
00
10
00
10
01
00
10
00
00
10
01
10
10
00
01
11
00
01
10
11
10
10
00
00
00
10
11
01
10
11
00
00
00
10
01
10
10
00
10
00
10
10
10
01
11
01
10
00
10
10
01
00
01
10
10
01
00
00
10
10
11
00
00
10
10
11
10
00
10
00
01
10
01
00
10
11
00
10
10
00
01
10
11
00
00
10
01
10
11
00
00
01
10
11
11
11
00
10
10
10
00
01
11
10
10
10
00
01
01
00
10
00
00
10
10
00
01
11
00
10
11
00
01
10
01
00
10
11
10
00
00
01
10
10
00
00
11
00
00
10
01
00
00
00
00
10
10
00
11
10
10
11
10
00
11
10
00
00
10
00
11
11
00
10
10
10
00
01
11
10
01
00
01
00
01
01
01
10
10
10
10
00
00
11
10
00
00
10
11
10
00
11
10
00
11
00
00
01
00
10
00
00
10
00
10
11
10
00
10
00
00
00
00
11
11
00
01
10
10
00
10
10
01
00
10
10
10
01
11
01
00
10
00
10
01
10
00
10
10
01
10
00
11
00
11
10
10
11
00
00
11
11
00
10
10
00
10
11
11
00
10
10
10
01
00
00
10
10
10
01
11
10
00
00
10
11
10
01
00
00
10
01
00
01
00
10
11
10
10
01
10
10
01
00
11
10
10
10
10
01
00
11
11
10
11
11
10
00
10
10
00
10
00
11
10
00
00
01
10
10
00
00
00
10
10
10
00
11
10
00
11
00
00
01
00
10
10
00
00
10
10
00
01
00
10
10
10
00
10
10
00
10
01
00
10
00
01
10
00
00
11
10
11
00
11
10
11
10
01
11
10
01
01
11
00
00
10
11
00
01
11
00
00
01
00
10
11
00
10
11
00
01
10
11
00
10
00
01
01
00
11
11
10
00
11
10
00
00
01
00
01
01
11
11
11
00
00
10
10
00
01
10
00
10
10
10
01
10
10
00
01
11
10
00
00
10
10
11
10
11
11
11
10
10
00
00
11
10
11
01
00
11
10
11
11
10
01
01
10
00
10
00
10
11
00
10
00
00
00
10
11
01
01
00
11
10
10
10
01
00
10
11
01
00
10
01
01
10
10
01
11
11
00
00
00
00
10
10
00
10
00
11
10
00
01
00
01
00
00
11
01
01
01
00
11
00
01
00
11
10
00
01
10
11
00
00
10
10
00
00
00
10
00
10
10
10
11
11
00
10
00
00
00
11
10
00
10
00
11
00
00
11
10
00
01
10
10
11
00
01
00
01
00
10
00
00
11
11
10
00
10
10
10
01
01
10
10
00
00
10
00
01
11
00
00
10
10
10
11
11
00
00
11
00
10
11
01
11
11
11
01
01
01
01
00
10
10
00
10
10
00
10
10
00
00
01
10
00
01
10
11
00
00
00
10
11
00
01
11
10
00
00
10
10
00
11
11
00
00
00
00
10
00
10
00
00
00
11
00
11
11
10
10
10
01
01
10
10
10
00
11
10
00
11
01
10
01
10
11
10
00
01
01
00
10
11
00
01
10
10
00
11
10
10
11
01
10
00
00
10
00
01
10
00
01
10
01
00
00
01
00
10
00
10
11
11
11
11
00
10
10
01
01
11
11
01
01
00
00
10
11
00
01
10
10
10
11
11
10
00
00
01
10
11
00
00
11
10
00
10
00
00
11
11
10
01
01
10
01
00
11
10
01
10
00
11
10
11
00
10
10
10
11
01
00
00
10
11
01
11
10
01
10
10
00
11
10
11
01
00
11
10
10
00
00
01
10
10
00
00
00
11
10
11
11
00
10
10
10
00
10
10
11
10
00
11
00
10
10
01
00
01
10
10
10
01
00
10
10
01
00
00
10
00
01
10
00
10
01
00
10
10
01
00
00
10
11
00
00
00
01
11
00
11
01
11
10
01
10
00
11
11
10
01
00
11
10
00
00
00
00
10
00
10
10
10
10
10
10
11
00
11
00
00
01
10
00
10
01
10
00
00
10
10
01
10
00
01
11
10
00
11
11
11
10
10
00
00
00
11
11
00
01
00
00
10
01
00
10
10
00
10
00
10
10
00
10
10
11
00
10
11
11
00
11
11
11
00
00
11
01
01
10
10
01
00
00
10
00
00
00
11
10
00
00
10
00
00
00
10
10
10
01
00
10
01
10
01
00
00
10
00
00
10
10
10
10
00
00
11
10
00
00
00
10
00
10
00
00
00
10
10
01
01
01
10
01
10
11
10
01
00
11
00
01
11
10
11
01
00
10
10
11
10
11
01
01
11
10
10
01
10
10
00
11
11
10
00
00
10
01
00
10
10
10
10
10
00
10
11
01
01
00
01
10
00
10
10
10
00
11
00
00
11
10
10
10
00
01
00
10
00
10
11
10
10
00
10
10
10
00
00
00
11
10
00
10
10
00
10
10
10
10
00
00
01
10
00
10
00
00
11
00
01
11
01
10
10
00
10
10
00
01
10
10
10
00
00
00
10
10
10
00
01
00
01
10
10
10
01
00
01
01
10
00
00
10
10
11
00
10
01
11
11
10
00
11
11
11
01
01
00
10
11
10
10
00
10
01
10
10
01
00
11
01
11
00
00
11
01
01
10
01
01
10
10
01
00
11
10
10
01
00
10
00
10
11
10
11
00
10
00
00
00
00
00
10
10
00
01
00
01
00
00
00
10
10
10
10
00
01
11
10
00
10
00
00
00
00
00
00
00
00
01
00
01
00
10
11
10
11
10
00
11
11
11
11
11
00
11
10
00
00
01
10
00
00
10
10
10
00
10
00
10
01
00
10
10
10
00
00
11
10
00
00
10
10
00
01
10
11
00
00
11
01
01
00
00
11
01
10
10
00
01
01
10
11
10
00
01
00
01
10
10
01
10
00
10
00
01
00
10
10
00
00
10
11
11
11
00
01
10
01
10
01
00
11
10
00
00
10
10
01
10
11
10
11
01
00
10
01
00
10
11
11
00
11
10
00
00
10
01
10
00
00
10
10
10
10
00
01
10
00
00
10
10
01
00
00
01
10
10
11
10
11
00
00
01
00
00
10
10
00
01
10
00
00
01
00
01
00
10
10
10
11
10
10
00
01
00
10
01
11
10
10
10
01
00
01
10
10
01
00
00
00
01
10
11
10
11
00
11
01
01
11
11
11
00
00
11
00
01
00
11
11
00
00
10
11
00
10
11
00
00
11
11
11
01
00
01
01
10
00
10
11
01
00
10
11
00
10
01
00
00
10
00
00
01
10
10
00
00
11
10
01
01
00
00
00
11
10
00
10
01
00
00
00
11
01
10
10
00
01
00
00
10
11
00
10
10
00
00
11
10
00
01
10
10
10
00
01
00
10
00
10
11
01
00
10
00
10
01
10
00
00
00
01
00
11
10
10
01
00
00
00
01
11
10
00
00
10
10
11
10
11
11
10
11
10
10
10
11
00
10
00
00
00
10
10
00
01
00
10
11
00
00
10
01
00
00
01
10
10
10
10
11
00
10
11
10
00
11
00
00
11
11
10
00
00
10
00
10
10
01
00
10
11
10
00
10
01
00
00
11
10
01
00
10
00
10
10
01
10
11
11
10
10
10
00
00
10
11
11
10
00
00
01
00
11
11
00
11
00
00
11
00
10
00
01
10
10
10
01
01
00
00
10
01
10
01
11
10
00
00
00
10
10
10
11
01
11
10
00
00
01
11
00
10
10
00
01
11
11
00
00
00
11
10
00
10
10
11
01
00
00
11
01
00
10
10
11
10
01
01
00
11
11
01
11
10
01
00
10
01
01
11
10
11
01
01
01
00
11
01
10
10
00
01
11
10
00
00
00
01
10
10
01
00
00
00
00
10
01
10
00
01
10
10
00
11
10
01
00
11
10
00
10
00
00
11
10
00
10
00
01
00
10
01
00
10
00
10
10
10
00
11
00
01
01
11
10
10
10
00
10
10
00
00
10
01
10
10
00
01
10
11
01
01
11
11
00
11
00
10
10
00
00
01
00
00
10
01
11
11
01
00
00
10
10
10
10
00
01
01
10
11
10
10
00
01
10
10
10
00
01
10
00
10
10
00
01
11
00
00
00
10
01
01
11
10
10
01
00
00
10
00
00
10
00
10
01
01
00
10
11
01
11
01
11
01
00
10
10
01
00
10
10
00
11
10
10
11
01
00
00
01
10
11
10
00
00
10
10
00
00
10
10
00
11
01
10
11
11
00
00
00
10
00
11
11
00
00
11
10
11
00
11
00
10
10
00
00
11
00
01
11
00
11
00
10
10
00
01
10
11
10
00
01
01
10
10
10
01
00
10
01
01
00
01
00
11
00
00
00
10
10
00
10
10
10
00
01
00
10
10
01
00
01
10
00
01
10
10
01
00
11
10
00
10
11
10
00
00
11
00
00
10
11
01
10
01
01
10
11
11
11
11
00
00
10
10
01
00
00
11
10
00
11
01
01
10
00
00
10
00
10
10
00
01
00
10
11
00
01
00
01
10
10
00
11
10
01
00
10
00
00
00
10
10
00
11
00
01
00
10
10
10
10
11
00
00
10
00
11
00
01
10
00
11
10
01
00
10
10
11
00
00
00
10
10
00
10
01
10
00
01
11
00
10
00
10
11
11
01
00
10
01
01
00
11
01
01
10
10
10
11
00
10
00
10
10
01
10
10
00
00
01
00
00
10
00
11
11
11
10
01
11
01
10
11
00
10
10
00
10
10
00
00
00
10
00
11
01
00
01
10
01
01
11
10
10
00
10
11
00
10
10
01
00
10
11
00
00
10
00
11
11
01
00
00
01
00
00
01
10
00
01
10
10
10
01
00
11
10
10
10
10
01
00
00
11
10
01
00
10
11
00
00
11
10
00
10
00
00
11
10
01
00
10
00
10
10
10
11
01
10
11
00
00
00
11
10
11
01
01
10
10
10
00
00
10
10
00
00
10
10
11
11
00
00
11
10
11
00
00
10
00
00
00
11
11
00
01
10
01
10
00
10
10
10
00
01
10
01
00
00
01
10
00
01
01
10
11
00
00
00
10
00
01
00
10
00
00
00
00
10
10
00
10
10
00
00
00
00
00
01
11
01
00
01
10
10
11
10
10
11
10
00
00
01
11
10
00
10
00
11
01
10
00
00
10
11
01
00
10
10
01
00
00
10
01
10
10
10
11
01
00
01
10
00
11
11
10
11
10
01
10
11
00
00
10
10
00
10
11
10
11
01
00
00
11
00
01
00
10
00
01
11
11
11
01
11
10
01
10
10
11
00
00
10
11
01
11
01
10
10
00
11
10
10
00
00
01
00
10
00
10
10
00
11
00
11
01
01
00
00
10
11
00
10
01
00
10
10
10
01
00
10
11
10
00
10
10
00
01
10
11
10
01
01
10
01
10
00
01
11
10
10
10
01
01
00
01
00
10
10
00
10
00
00
10
00
01
10
10
01
00
11
10
00
00
00
11
10
10
00
00
10
10
00
01
11
10
01
00
00
00
00
10
10
00
01
10
10
10
10
00
00
01
10
00
01
00
10
10
01
01
01
10
01
11
00
11
10
00
10
00
01
00
11
11
00
10
11
00
10
01
00
11
11
00
00
01
00
10
10
01
10
10
00
10
00
00
00
01
00
10
10
10
10
10
01
10
11
01
00
10
10
00
11
11
10
00
10
11
00
10
11
10
11
00
00
10
00
11
00
10
01
11
10
11
01
10
10
11
10
01
00
01
10
10
00
00
01
10
10
00
11
10
11
10
00
00
01
10
00
00
10
00
11
10
10
00
00
10
11
10
10
01
10
10
01
01
11
10
01
10
01
01
00
11
01
10
10
10
00
00
10
10
11
11
10
11
01
00
00
00
10
11
00
00
00
10
00
01
11
10
00
10
00
11
10
01
10
00
00
11
10
00
00
11
01
11
10
10
00
11
10
00
10
11
00
00
10
10
00
00
10
01
01
11
00
00
10
00
11
10
00
01
11
10
10
10
10
10
11
00
10
10
00
00
10
11
00
11
00
10
10
00
10
10
00
00
01
11
01
01
10
00
00
00
00
10
10
00
00
01
10
00
01
10
10
00
00
00
10
00
10
11
00
10
10
01
11
00
00
10
00
00
10
01
01
01
00
00
10
10
00
11
10
00
00
11
01
10
10
00
00
00
10
10
01
00
01
11
11
10
10
10
11
10
00
00
10
01
10
00
00
10
01
11
10
00
00
11
01
11
10
11
01
01
10
00
00
11
00
00
10
00
01
01
10
11
01
00
10
11
11
00
11
10
00
00
11
10
10
11
00
00
01
01
10
11
11
11
11
11
01
10
10
11
00
00
11
00
00
10
01
10
00
00
11
00
11
11
00
00
10
01
11
01
01
10
00
00
00
11
01
00
11
10
10
11
10
01
10
11
01
10
00
00
10
00
00
00
10
10
00
01
10
01
11
01
00
00
10
10
10
00
01
01
00
00
11
10
10
00
11
10
00
01
00
10
01
00
00
10
10
11
01
00
11
10
00
01
00
10
00
11
10
11
10
00
11
11
00
10
00
00
00
00
00
10
11
11
10
11
01
10
10
10
00
01
11
11
10
00
10
10
01
01
01
10
01
10
10
00
00
10
11
10
00
01
10
10
00
00
10
00
01
01
10
10
01
00
10
01
11
10
11
00
00
10
11
00
00
01
10
10
10
01
01
00
01
10
00
10
00
00
10
10
10
01
10
11
00
01
00
01
10
00
10
11
01
10
01
10
10
01
10
10
10
00
00
11
10
01
10
10
00
10
00
00
00
11
10
11
10
00
10
10
10
00
01
10
01
01
00
10
10
00
00
00
10
11
10
00
00
00
01
01
00
00
10
11
10
00
10
10
10
01
01
11
11
00
11
10
11
11
00
00
00
11
10
00
00
10
01
10
00
00
10
01
00
01
11
00
01
11
01
01
11
10
11
10
00
10
10
00
11
10
01
00
10
01
00
00
10
00
11
10
00
10
01
00
01
10
00
00
10
10
00
00
10
10
01
10
11
00
10
01
10
11
00
10
00
10
11
11
10
00
00
00
10
00
11
10
00
00
00
00
10
10
01
10
10
01
00
00
00
00
01
00
01
11
10
11
11
00
10
11
01
10
00
00
01
01
11
11
10
10
11
00
11
10
10
00
10
10
00
10
10
10
10
10
00
00
01
00
11
01
11
10
01
11
11
10
10
00
01
11
00
11
10
01
10
11
11
11
01
11
10
10
11
01
01
00
11
10
11
01
01
01
10
00
01
01
11
10
00
10
10
00
00
10
01
00
10
00
00
00
01
01
10
00
10
01
11
11
01
01
11
11
10
10
00
00
10
11
01
01
10
10
10
11
00
10
10
10
11
01
00
11
10
10
11
00
10
01
11
01
11
10
01
01
11
10
10
00
01
10
01
00
00
00
10
00
11
01
00
01
10
11
01
01
10
10
11
10
00
01
00
00
00
10
10
10
10
01
10
00
00
11
00
10
10
10
00
10
10
11
11
00
01
11
11
01
00
00
11
10
00
01
10
11
00
00
01
00
10
10
11
00
10
10
00
00
00
00
11
00
00
10
01
01
00
10
10
10
01
10
00
10
00
01
01
00
01
10
10
01
10
10
11
01
10
11
00
00
00
10
10
11
01
01
10
00
00
00
11
00
10
11
10
10
01
11
01
00
10
10
10
01
00
00
11
10
00
00
10
00
10
00
00
10
00
00
11
00
00
00
10
00
11
11
11
01
01
10
10
11
10
00
00
11
11
10
00
00
11
10
10
11
10
10
00
00
10
00
01
11
00
00
01
10
01
10
00
10
10
10
01
00
00
11
10
01
11
01
11
10
11
00
10
10
11
00
10
00
01
10
10
11
11
11
11
10
00
10
10
00
01
10
01
01
11
10
00
01
10
10
00
01
11
10
10
00
01
00
01
10
01
10
10
11
01
01
10
11
00
11
01
01
11
11
10
00
00
10
11
10
10
10
00
01
01
01
11
00
10
00
00
11
00
01
10
10
10
10
10
10
11
00
11
10
01
00
10
10
00
10
11
00
01
10
01
10
11
00
00
01
00
10
10
11
00
11
10
01
00
10
11
11
00
00
10
11
00
11
10
00
01
10
01
11
10
10
10
00
00
00
11
10
00
00
00
10
01
01
10
11
10
00
10
00
10
10
01
00
10
11
11
11
10
00
10
00
01
10
10
00
10
11
10
00
00
10
01
00
11
01
01
10
01
10
10
01
10
01
00
10
10
01
01
10
10
01
00
10
00
00
11
10
10
00
00
01
00
00
10
00
10
10
11
11
00
10
00
00
10
00
00
01
11
10
00
11
01
01
11
00
10
00
00
00
11
00
00
10
01
11
10
01
00
10
01
00
10
00
10
11
01
00
11
11
00
00
00
10
10
10
00
11
01
10
10
10
10
10
00
00
11
10
10
10
10
11
10
10
00
00
11
01
10
10
00
01
01
01
10
00
00
10
00
00
10
00
11
10
00
10
10
10
10
00
00
10
01
00
10
01
10
11
10
10
11
10
01
11
10
11
01
00
10
10
00
01
00
10
10
00
10
10
00
11
00
00
11
10
00
11
10
00
11
00
00
11
11
00
11
10
00
10
10
10
10
00
00
11
01
00
10
00
00
10
10
00
11
11
01
00
11
00
01
10
00
00
10
11
11
10
11
11
00
00
00
10
10
00
00
00
10
11
00
00
11
00
10
00
10
00
01
10
11
00
01
10
01
10
00
10
11
00
01
10
10
00
00
10
00
00
11
11
00
10
00
10
11
10
01
00
10
10
01
11
10
10
01
10
11
10
00
00
11
10
01
00
11
10
00
10
00
00
11
01
00
11
00
01
10
10
11
10
00
00
01
11
10
01
10
11
10
10
00
11
10
01
01
11
00
00
11
10
10
00
10
10
01
00
00
00
00
10
10
10
00
10
00
11
00
10
10
10
10
00
10
11
10
00
00
01
10
00
00
11
00
11
00
10
00
11
10
10
00
00
11
01
10
11
00
10
00
11
01
00
11
00
10
10
01
11
10
11
00
10
11
10
11
11
10
10
00
11
00
00
10
11
11
01
00
11
00
00
01
00
10
11
10
00
10
00
01
11
10
11
10
10
01
11
00
10
00
01
00
10
10
10
00
01
00
00
10
11
10
10
00
01
10
11
11
10
10
01
10
00
11
10
11
11
10
00
01
01
10
01
00
11
11
00
00
10
10
00
00
11
10
00
10
10
11
11
10
01
00
10
00
10
00
10
11
00
10
10
11
10
00
00
10
00
10
10
00
10
00
11
00
10
11
01
11
11
10
00
11
10
00
00
10
10
00
00
10
10
00
00
01
01
01
11
00
10
10
00
01
01
10
01
00
00
00
00
10
10
10
00
00
00
10
11
11
00
00
00
01
00
10
00
00
00
10
00
10
11
00
01
00
01
00
10
10
10
00
11
10
00
10
10
01
10
00
00
11
00
01
00
00
10
00
11
10
01
00
00
01
10
10
10
10
00
10
10
01
11
10
01
10
11
10
01
10
00
10
11
10
00
10
00
00
11
00
10
11
10
10
00
10
10
00
00
00
00
00
01
00
10
10
00
00
11
10
11
00
00
11
10
00
01
10
00
10
10
00
00
11
11
11
11
01
00
11
10
00
01
10
11
00
01
10
10
10
11
00
01
11
10
00
01
10
00
10
10
01
01
00
11
10
11
00
01
11
00
11
10
00
10
00
01
10
00
00
01
11
01
01
11
00
00
10
10
10
01
00
10
00
00
01
00
01
10
00
11
01
00
10
10
00
11
11
10
01
00
11
10
10
00
01
01
00
00
11
10
00
00
00
11
00
00
10
00
11
10
10
01
01
10
00
10
10
10
01
11
10
11
00
00
10
11
00
10
10
00
00
00
00
10
00
10
11
01
10
00
10
10
01
11
01
00
00
00
11
11
00
10
11
10
00
11
11
01
00
01
10
00
10
01
00
11
11
00
10
11
01
11
01
10
01
00
10
00
00
11
11
11
01
10
10
10
10
00
00
11
11
00
00
00
11
10
01
10
00
11
10
10
10
11
00
00
10
01
01
10
01
00
10
00
00
10
00
10
10
10
10
10
10
00
01
01
10
01
00
10
10
11
00
00
10
10
10
00
10
10
01
11
11
00
01
00
00
01
10
11
00
00
10
11
10
10
01
01
11
11
11
00
10
00
00
10
10
00
00
00
01
00
11
10
00
10
10
10
11
00
01
00
00
00
10
11
11
01
00
10
01
00
00
10
00
10
00
00
10
01
10
10
00
00
01
11
10
00
11
10
00
00
01
10
01
01
01
01
10
00
01
10
10
10
00
11
11
01
00
00
10
00
10
10
10
01
10
00
00
11
00
01
10
11
00
00
01
10
00
00
00
01
00
10
11
11
10
00
10
00
00
10
00
00
10
11
00
01
10
11
10
00
00
00
00
10
00
00
01
01
01
11
00
00
00
10
10
10
01
10
00
10
00
01
00
00
11
10
01
10
10
00
10
00
00
10
10
01
10
00
01
00
10
11
11
01
00
10
10
01
10
01
00
10
11
00
10
10
10
00
00
01
01
10
10
00
11
01
11
00
01
00
11
11
10
00
11
00
00
01
10
10
01
01
01
01
01
01
10
10
10
10
00
00
10
11
00
00
10
11
01
10
01
00
10
01
00
11
10
00
00
00
11
10
01
00
11
00
01
10
00
10
10
01
10
01
00
00
01
00
10
10
00
00
00
10
11
00
01
00
00
00
01
00
10
10
10
00
00
10
01
01
10
00
01
01
01
10
10
00
11
00
00
11
10
11
11
00
01
11
00
00
11
10
10
00
00
00
11
10
00
01
10
00
11
01
00
01
10
10
11
00
11
10
01
00
11
10
00
01
10
01
00
10
10
00
10
11
00
00
00
01
10
00
00
10
00
01
10
01
10
11
00
00
00
01
10
01
01
11
10
01
10
11
11
00
01
10
01
00
01
11
00
00
10
11
11
10
00
00
10
10
00
01
10
11
01
10
01
00
01
00
00
10
10
10
00
01
10
01
00
10
11
10
01
00
10
11
10
01
10
00
00
00
01
11
10
01
00
10
00
10
00
10
10
01
00
11
00
01
00
10
11
00
00
10
11
00
10
10
00
10
10
01
10
10
01
10
01
10
01
01
01
00
11
00
00
01
11
10
00
01
00
00
11
00
00
10
10
01
01
10
10
10
10
01
00
01
00
01
00
10
00
10
10
00
00
11
11
10
00
01
00
11
10
00
11
00
10
11
00
00
00
10
10
10
00
10
11
10
01
10
01
01
01
11
10
00
11
00
00
11
10
11
10
10
11
10
00
10
00
00
10
10
00
01
11
11
11
00
10
10
10
00
00
11
10
01
11
00
00
00
10
00
10
10
00
00
10
10
00
10
10
00
00
10
11
00
01
00
00
10
10
00
00
00
11
10
11
11
00
11
10
00
11
11
00
10
00
00
00
01
11
00
01
10
10
01
01
11
11
10
01
00
01
10
10
00
01
11
00
01
10
00
11
01
00
11
10
01
10
10
00
00
10
01
00
10
00
10
00
10
11
00
11
00
10
10
11
00
01
01
10
01
10
00
10
11
11
01
10
10
00
00
10
00
10
10
10
01
10
11
01
01
10
11
11
10
01
00
10
00
00
10
10
00
10
10
01
10
10
10
10
11
10
01
11
00
00
01
10
10
00
00
10
10
01
10
01
01
11
00
00
11
10
00
00
10
00
00
00
00
10
10
00
00
10
11
01
00
11
00
00
01
01
10
00
11
10
01
00
10
10
10
01
00
10
10
10
00
01
10
01
11
10
11
11
11
00
00
00
10
10
00
00
01
00
11
11
00
00
00
00
01
00
10
00
00
10
11
01
00
00
10
10
00
11
11
01
10
10
00
01
00
00
00
10
10
11
00
01
10
10
11
10
01
00
10
10
01
10
10
11
00
00
00
00
11
11
00
10
10
00
10
10
10
00
00
10
00
11
01
10
11
01
00
10
10
00
10
10
00
10
10
01
10
01
10
10
11
10
10
11
11
01
01
01
00
11
00
11
01
00
10
10
00
00
10
10
00
01
11
10
11
10
11
00
00
11
01
10
10
10
10
10
10
00
00
11
00
00
01
00
10
00
01
01
11
00
10
01
00
01
00
10
10
10
00
10
11
00
01
11
00
01
00
10
00
10
10
01
10
10
01
01
00
01
00
11
10
01
01
01
01
00
10
10
10
10
00
00
10
11
01
00
01
00
00
01
10
10
10
11
00
10
00
10
11
00
01
01
00
00
00
01
01
11
10
10
10
00
10
00
00
10
10
11
01
00
00
00
10
00
10
10
00
00
10
01
01
01
00
01
10
01
00
00
10
10
00
00
00
10
11
10
11
00
00
00
10
01
10
10
00
00
10
11
11
00
10
01
10
10
11
01
11
10
00
10
10
00
00
00
10
11
00
10
11
11
10
11
11
01
10
00
01
10
11
01
00
11
00
00
01
11
11
10
10
00
10
00
10
01
00
01
11
10
01
00
00
11
11
11
00
10
11
00
00
10
00
01
10
00
00
00
10
10
10
11
10
01
10
11
01
10
00
01
00
10
10
10
01
00
11
01
00
11
00
11
11
10
10
10
11
00
11
10
00
11
10
00
00
10
11
00
11
01
10
10
11
00
00
01
10
10
10
00
10
11
00
10
00
00
00
11
00
00
10
10
00
10
10
00
10
10
00
00
10
10
01
00
01
10
11
00
01
00
11
10
00
11
00
00
01
01
10
11
01
10
01
10
01
11
01
01
10
01
00
00
10
10
00
00
11
10
00
11
01
00
01
01
10
10
00
00
10
00
10
10
00
00
00
10
00
00
00
11
00
00
11
00
01
10
10
10
01
01
11
11
10
10
00
10
00
00
00
10
10
00
00
00
00
00
11
00
11
10
10
01
10
00
00
00
10
01
10
10
11
00
00
00
10
00
10
10
11
11
10
10
00
00
00
11
10
01
10
01
10
10
10
00
10
10
00
01
10
01
11
00
11
10
00
10
01
01
01
01
10
01
10
11
11
10
00
01
00
10
10
00
10
11
00
01
00
01
11
00
10
00
11
11
10
01
01
00
10
00
00
10
00
00
10
00
00
10
10
11
00
01
10
10
00
10
00
10
00
00
10
10
00
01
00
10
00
01
01
11
10
10
10
01
00
10
10
11
10
00
10
00
10
00
00
11
10
00
00
10
00
00
10
10
00
10
00
00
01
00
10
00
00
10
10
01
10
01
00
10
01
01
11
10
01
00
10
11
00
10
10
01
01
00
11
10
01
01
01
10
00
11
10
00
00
00
10
10
01
11
00
00
00
01
10
11
00
10
00
10
11
00
10
10
00
01
00
10
10
01
01
01
11
10
00
00
10
00
11
11
00
11
00
01
00
00
10
00
01
10
01
00
00
11
00
10
01
11
10
10
10
01
10
01
01
11
00
01
10
00
01
01
00
10
00
00
00
10
00
11
10
00
10
10
00
01
00
00
11
10
11
10
10
00
00
00
10
10
01
11
00
10
01
00
10
10
00
00
00
10
10
10
10
01
11
01
00
11
10
00
00
00
11
10
00
00
10
10
10
10
00
10
10
00
01
00
00
10
01
11
10
11
10
01
01
10
00
10
10
00
01
10
10
10
00
01
00
11
00
10
10
00
00
10
00
01
10
10
00
11
00
10
11
10
00
10
11
00
01
00
11
00
11
10
10
10
11
10
00
00
11
01
00
01
10
01
01
10
11
00
01
11
11
11
01
11
10
10
01
00
10
11
01
01
00
11
00
10
11
00
10
10
00
10
00
00
00
10
00
00
10
10
00
10
10
01
00
11
10
11
10
01
00
11
10
01
10
11
10
01
10
11
01
01
11
11
10
00
10
10
01
01
11
11
01
11
01
01
11
00
00
01
10
10
10
11
01
00
00
00
11
00
10
10
00
00
01
00
11
11
01
10
10
11
10
01
00
00
10
01
01
10
00
00
00
00
00
10
10
01
01
00
00
00
01
10
11
00
11
00
00
10
01
00
10
00
00
00
01
01
11
10
10
00
01
00
00
00
11
10
11
11
10
10
11
00
00
00
10
11
10
10
01
01
10
00
00
10
11
10
10
01
10
11
00
10
10
00
00
00
10
01
00
10
11
11
01
01
11
10
01
10
11
00
00
00
10
00
00
10
11
11
10
00
00
00
00
10
10
01
01
10
01
01
10
11
10
10
00
10
01
00
00
11
10
00
01
00
10
11
01
10
01
10
10
01
00
01
01
10
10
01
10
00
10
10
00
00
11
00
11
00
10
10
00
10
01
01
10
01
11
11
10
11
01
11
00
10
00
00
11
01
11
10
00
00
01
10
10
00
01
00
10
10
00
00
00
11
10
11
00
00
10
00
00
00
10
11
10
00
00
10
10
11
10
01
00
11
10
01
10
00
11
00
10
10
00
01
00
11
10
00
11
01
10
10
01
11
01
01
00
10
10
00
00
10
10
01
01
00
01
11
10
00
01
11
10
11
00
00
00
11
00
00
11
01
11
11
11
11
10
11
00
10
00
00
10
10
00
00
01
10
01
01
10
00
10
10
01
00
00
10
10
00
00
10
10
00
11
00
10
00
00
10
00
00
10
00
00
11
00
10
10
00
11
00
00
01
01
00
10
10
00
00
10
11
11
00
00
10
00
11
10
00
10
11
11
10
10
10
10
11
11
01
00
10
01
01
01
01
11
11
11
10
00
00
10
10
00
10
11
10
01
11
00
00
11
00
11
10
01
10
00
01
00
00
11
00
01
10
11
10
10
00
11
10
00
10
11
00
00
10
10
01
11
00
01
00
11
01
00
10
10
10
00
00
10
01
10
00
10
00
00
00
10
10
00
11
00
10
10
00
00
01
00
00
00
11
10
00
01
10
00
10
00
10
10
01
10
10
10
00
01
10
11
10
10
00
00
00
10
01
00
10
01
00
11
11
01
10
01
00
10
11
10
00
11
10
00
10
01
10
10
10
00
00
10
00
10
11
00
11
00
01
00
10
11
10
11
01
11
10
01
00
11
11
00
00
00
01
10
00
00
00
01
10
10
00
10
01
11
10
00
01
00
00
10
10
00
01
11
00
11
01
11
10
10
10
01
00
10
10
01
11
11
01
01
11
00
00
00
10
10
00
00
10
11
00
01
00
11
00
10
10
00
00
10
10
01
10
00
11
10
10
11
00
10
10
00
00
00
10
10
00
00
10
00
01
01
10
11
10
11
00
01
01
00
00
10
00
10
11
10
00
00
10
01
01
01
00
10
10
10
11
10
10
00
00
10
11
10
01
10
10
00
01
10
00
11
10
10
00
11
11
00
01
10
11
00
10
10
00
01
10
00
10
00
01
11
01
11
01
01
11
10
10
01
01
11
11
00
00
01
10
10
01
10
11
00
00
10
00
00
01
10
10
00
10
01
10
00
00
01
01
00
10
00
11
11
01
00
10
10
11
10
10
11
10
01
01
11
01
01
01
11
11
11
10
00
00
10
10
00
00
10
00
00
11
00
10
10
10
00
10
01
00
00
11
11
01
00
11
10
10
10
00
01
10
10
00
10
01
00
11
01
00
00
00
10
11
00
01
11
10
01
10
01
00
00
11
10
11
00
10
10
11
10
11
00
00
00
10
10
00
10
10
10
00
00
11
00
00
10
00
00
10
11
10
11
01
10
00
00
10
10
00
00
10
10
10
10
00
11
00
01
00
01
01
11
00
11
10
00
10
10
10
00
10
10
10
00
01
00
10
00
01
00
00
11
11
00
10
00
00
00
10
10
00
11
00
10
10
01
11
10
00
10
00
00
10
01
00
11
10
11
00
10
10
10
11
00
00
01
10
00
01
10
00
10
10
10
10
00
10
10
01
01
00
01
00
10
10
00
10
10
01
00
01
10
01
00
00
10
01
11
10
11
00
00
00
01
10
10
00
00
11
10
00
10
00
01
10
00
00
00
00
00
00
10
10
00
00
01
01
11
00
10
11
10
11
00
10
01
01
10
10
10
00
00
11
11
00
10
11
01
10
00
00
01
01
10
10
00
10
01
00
10
01
00
11
10
00
10
01
00
00
00
11
10
10
00
11
01
00
00
01
10
10
11
10
01
00
00
01
00
00
10
00
00
10
00
00
11
00
00
01
10
01
00
00
10
00
00
00
11
10
10
10
00
01
01
10
00
00
10
00
10
00
01
10
01
00
10
11
00
00
10
10
01
00
01
10
11
00
10
00
00
01
11
01
11
00
01
11
00
01
01
10
11
10
01
00
10
10
00
00
10
00
00
10
11
00
10
11
00
01
11
01
10
11
00
10
01
00
00
01
10
00
11
10
00
10
10
10
00
00
11
00
10
11
11
10
11
10
01
00
10
11
00
10
01
00
01
01
10
11
00
10
11
10
01
10
10
00
10
10
00
01
10
00
00
10
11
01
00
10
11
01
01
10
01
01
11
01
10
10
00
00
00
10
00
00
10
11
00
10
10
11
01
00
11
11
11
01
00
00
10
00
00
10
10
00
01
10
11
01
11
00
00
10
00
00
10
10
00
00
01
00
00
11
10
10
10
01
00
00
10
01
00
10
10
10
10
10
10
00
10
01
00
00
10
10
10
10
00
01
11
11
10
10
00
00
10
00
11
11
01
00
11
00
10
01
00
10
10
00
10
10
10
11
01
11
00
00
01
11
10
10
00
10
11
00
00
00
10
10
10
11
10
10
11
00
00
10
11
00
01
11
00
10
00
00
10
10
00
01
01
01
00
10
10
00
00
01
00
00
11
11
01
00
00
11
11
11
10
11
00
01
10
00
10
10
00
10
10
01
10
01
10
00
11
01
00
10
10
10
10
00
01
00
11
01
11
11
01
10
00
11
10
10
10
00
10
01
01
11
11
10
11
10
00
00
11
10
00
01
11
00
10
00
00
11
10
00
00
01
10
11
01
00
10
11
10
10
10
01
10
00
00
00
11
11
01
01
11
10
00
10
00
10
11
00
01
11
00
00
00
10
10
01
01
10
11
00
01
11
00
11
10
01
00
10
00
00
00
11
10
10
11
01
10
11
10
10
00
11
10
00
10
10
00
10
00
01
10
00
11
00
10
01
10
11
11
10
00
00
11
11
10
11
01
00
10
01
10
00
10
10
00
10
10
01
00
10
10
00
10
00
00
10
10
01
10
11
01
10
00
10
00
11
00
00
10
10
10
11
00
00
00
11
10
10
10
10
10
10
00
00
00
10
00
11
01
10
10
10
01
10
10
00
10
01
00
00
10
10
01
10
10
10
00
10
11
00
01
10
10
11
10
01
01
01
11
10
11
10
10
00
00
10
11
01
00
11
01
00
10
00
01
10
10
10
00
10
01
10
11
11
00
10
10
11
00
00
01
10
00
00
11
10
01
10
11
00
00
01
10
10
01
01
10
10
00
00
10
00
00
10
10
00
00
10
01
00
00
01
11
10
10
10
00
00
10
00
10
00
00
00
10
10
00
10
10
01
10
10
00
00
10
00
11
00
00
01
00
11
00
10
11
01
11
10
10
01
00
10
01
10
11
11
11
00
10
11
10
01
01
10
10
10
10
01
00
01
10
00
00
00
10
00
10
10
00
00
00
10
00
00
10
00
00
10
10
01
00
01
10
10
00
10
00
10
10
00
00
10
11
10
00
10
01
00
11
10
00
11
01
11
11
00
00
01
00
00
11
11
01
01
01
10
00
01
10
00
00
00
01
01
10
10
11
01
11
00
10
10
10
01
01
00
11
10
00
01
00
01
10
10
00
01
00
01
10
10
01
00
01
01
00
10
11
01
11
00
01
11
10
11
01
00
00
00
11
11
10
00
10
10
10
10
10
01
10
11
01
10
00
10
01
10
11
10
11
00
10
00
10
10
10
01
00
10
10
10
00
11
01
00
11
11
10
00
10
10
01
00
11
10
00
11
01
00
00
01
01
10
00
11
11
00
01
01
00
10
00
00
00
10
10
10
11
00
01
10
01
10
01
10
11
10
01
10
01
00
10
10
00
11
00
00
11
00
00
10
10
00
01
00
11
10
10
01
00
10
00
11
10
10
00
11
10
10
10
01
01
00
00
01
10
00
10
10
01
00
11
10
10
11
10
11
00
10
11
01
00
11
00
01
11
10
01
01
00
10
00
10
00
11
10
00
00
01
11
10
00
11
10
10
00
00
00
10
11
11
11
11
10
11
10
10
10
01
10
00
00
10
00
01
01
00
11
00
10
11
11
00
11
10
00
11
11
11
00
00
11
11
01
11
10
01
00
10
11
01
00
10
10
10
10
01
00
00
10
11
00
00
10
01
11
10
10
00
00
00
10
01
00
10
10
10
00
10
11
00
00
11
11
00
11
10
00
00
00
10
10
01
00
00
10
00
11
01
01
10
01
01
00
00
10
10
00
00
01
11
11
01
11
00
10
10
01
10
00
01
11
00
10
01
01
10
11
00
00
11
10
11
10
00
01
00
00
10
10
00
10
11
10
00
00
10
10
01
10
11
00
01
01
11
10
01
01
11
10
01
00
11
10
00
11
10
01
10
11
01
01
10
01
11
11
00
00
10
10
11
00
01
10
10
00
10
10
11
00
01
11
10
01
00
10
10
00
01
00
00
11
01
11
00
00
10
00
00
10
10
00
11
10
10
00
01
10
00
10
10
10
01
10
11
11
10
11
00
00
10
00
00
00
11
11
00
01
01
00
11
10
01
01
10
00
10
10
01
10
10
10
01
00
11
00
00
00
10
00
00
01
11
11
11
11
10
10
10
11
00
01
00
00
00
00
10
10
11
10
00
10
10
00
11
00
00
00
00
00
00
00
10
00
10
01
11
00
00
00
00
00
11
10
10
10
00
10
01
01
11
01
11
10
00
10
00
00
10
00
11
00
10
01
10
10
00
10
10
01
00
01
00
10
10
10
11
01
11
10
10
11
11
10
01
10
10
10
00
01
01
00
11
00
10
10
10
00
10
00
01
00
00
10
00
00
10
00
10
00
10
10
11
10
00
01
00
10
11
10
00
01
10
01
10
01
10
11
10
10
00
01
00
11
00
10
00
10
10
00
00
10
10
10
00
00
10
11
10
10
11
11
00
01
00
01
00
10
00
10
10
00
11
10
11
00
10
10
01
10
01
10
11
01
10
00
00
10
11
01
00
01
10
10
00
10
01
10
00
00
11
11
10
00
00
10
01
00
11
11
01
01
11
10
10
10
11
00
00
00
11
10
10
00
01
01
10
11
10
00
01
00
11
11
01
01
10
00
01
00
01
00
10
10
10
11
10
00
01
10
10
01
10
10
00
01
10
00
10
00
10
11
11
01
10
00
00
11
10
11
10
00
00
11
10
11
00
11
11
10
00
10
10
01
10
11
00
00
10
10
10
10
10
00
11
01
10
10
00
10
10
01
01
11
00
11
11
00
01
10
01
11
10
01
11
10
00
10
00
01
10
10
10
00
10
10
11
10
01
00
00
11
01
10
10
01
00
11
10
00
01
01
01
00
11
11
10
00
11
10
00
00
10
11
10
00
00
01
11
01
00
11
00
01
10
00
10
10
10
00
00
00
01
01
10
00
10
10
11
10
01
10
00
11
10
00
00
00
10
10
10
10
10
00
00
10
10
00
11
10
01
11
10
00
00
00
00
11
11
00
10
00
10
00
10
11
00
01
10
10
10
11
00
00
10
10
00
01
10
00
10
00
10
01
11
10
10
01
01
10
01
00
10
11
11
10
10
00
00
10
10
10
10
00
01
10
01
01
00
01
11
00
10
10
00
10
11
00
10
00
00
11
00
00
01
10
10
11
10
11
01
00
00
10
10
00
11
01
11
11
00
10
00
00
00
00
10
10
01
01
10
00
10
10
10
10
01
00
00
11
10
00
00
01
10
10
00
00
10
00
10
10
00
11
10
01
00
10
00
01
01
00
10
00
00
00
10
10
01
11
10
00
00
10
10
10
01
01
01
11
00
10
10
00
00
00
01
10
10
11
11
00
01
10
00
00
11
00
10
00
11
00
10
01
00
01
10
11
11
01
00
10
11
00
00
00
00
11
00
01
10
10
10
00
11
10
01
10
00
10
10
01
10
01
00
10
11
11
00
11
00
00
10
01
01
10
01
01
11
10
10
00
11
10
00
01
00
10
10
01
11
10
01
10
00
11
00
00
10
00
10
00
01
00
10
11
10
10
01
11
10
10
11
01
01
10
01
11
10
10
10
10
01
00
11
10
01
10
01
10
10
00
00
00
00
10
00
10
11
01
10
10
11
00
01
00
00
11
11
01
11
10
00
11
11
00
01
01
10
00
11
10
10
10
00
10
10
10
00
10
10
11
11
00
11
00
10
00
00
10
11
10
00
00
10
01
01
10
10
00
00
10
01
00
00
10
10
10
10
10
10
10
00
01
00
01
01
00
10
01
10
10
00
00
01
01
10
10
10
10
11
01
11
01
00
00
00
00
10
00
00
10
01
00
00
10
01
10
10
00
11
10
00
10
01
00
00
11
10
00
10
00
00
00
10
10
01
11
11
00
10
00
00
10
01
10
11
00
00
01
00
11
10
00
00
11
11
00
00
11
11
10
00
00
10
10
11
00
01
01
11
10
10
11
10
01
00
10
10
10
00
00
10
10
11
10
00
10
00
11
11
00
11
00
10
00
01
00
10
00
01
11
01
11
00
11
10
10
00
00
11
10
10
10
00
10
10
01
10
10
00
00
00
00
00
01
01
01
00
11
10
01
10
10
00
10
00
00
00
10
10
10
01
10
10
00
00
01
00
10
01
11
00
11
00
00
01
10
00
01
11
10
10
11
11
11
00
00
10
01
10
00
00
00
00
00
10
10
00
00
00
11
00
01
10
01
10
00
00
10
10
00
11
10
01
01
01
11
11
11
10
01
10
00
10
10
00
00
11
10
00
10
11
10
11
00
10
00
10
11
00
10
01
01
00
01
10
01
00
11
00
00
11
11
00
10
01
11
11
11
11
00
01
10
10
01
01
10
10
10
01
01
11
00
11
10
00
00
10
10
00
00
10
10
00
10
00
11
10
00
00
10
00
00
01
00
01
01
10
00
10
00
10
11
00
00
10
01
10
00
10
10
00
01
11
00
11
10
00
00
00
11
00
01
11
10
00
11
01
01
10
11
11
00
00
00
00
10
10
00
00
00
00
10
10
01
10
11
00
01
00
10
00
10
00
10
11
01
10
00
10
10
11
11
10
00
10
10
10
00
11
10
00
10
01
00
11
10
00
01
00
00
00
10
11
11
11
01
10
01
10
00
01
10
10
11
11
00
00
10
10
00
10
10
00
00
00
00
11
10
10
00
00
00
11
01
11
10
11
11
10
11
01
01
10
00
00
01
11
11
00
01
11
01
01
11
11
00
11
10
10
01
00
10
10
10
00
11
10
00
11
10
11
11
10
10
10
01
00
01
10
10
11
00
11
01
10
01
11
11
01
00
10
10
00
01
00
10
10
00
01
10
10
01
01
11
00
00
10
11
11
00
01
11
10
00
10
00
01
11
10
00
00
11
10
11
01
11
00
00
00
11
00
11
11
00
00
00
10
00
11
10
00
00
10
11
00
01
10
01
00
00
00
01
11
10
11
10
10
01
00
10
00
00
10
00
01
10
11
00
10
10
11
00
11
10
00
10
00
10
10
11
00
00
00
00
10
00
00
01
00
11
00
10
11
10
00
00
10
10
10
10
10
10
01
00
01
01
00
10
10
01
00
10
10
10
10
10
10
00
00
10
11
00
01
10
01
00
00
11
00
10
00
10
00
00
10
00
01
10
11
10
00
01
10
00
00
11
10
10
01
11
11
11
10
11
00
01
10
11
10
00
00
00
00
11
00
10
10
10
00
10
00
00
11
01
11
10
00
00
10
11
00
11
10
11
10
10
00
00
10
10
00
00
00
00
10
01
00
11
01
00
11
10
10
01
01
11
11
00
01
00
01
01
10
11
01
00
00
10
10
00
00
10
11
01
11
00
00
10
01
00
00
10
10
00
10
00
00
11
10
11
10
00
00
01
00
00
00
10
10
00
10
00
11
10
10
00
10
00
01
01
11
00
01
10
00
10
01
01
10
10
01
11
10
01
10
10
11
10
01
10
10
00
00
00
10
01
00
10
11
10
10
11
00
10
00
01
10
00
11
11
11
11
10
01
01
11
11
10
10
01
00
10
11
00
00
00
11
10
01
01
10
00
00
10
00
10
11
00
10
10
01
00
11
10
10
01
01
00
00
10
10
00
11
10
01
10
10
00
00
11
11
01
00
10
10
00
00
10
10
00
00
00
10
11
00
11
00
01
10
11
10
00
10
10
00
00
10
11
00
10
00
10
10
00
10
00
10
00
10
11
11
11
00
11
11
10
11
10
01
01
01
10
00
10
10
00
10
11
00
01
10
01
01
00
11
00
10
00
00
00
01
01
10
01
00
00
00
10
11
10
10
00
00
11
10
10
00
10
10
00
11
10
01
00
10
00
10
01
11
11
11
11
01
10
10
00
00
01
10
10
00
00
10
00
01
10
10
10
10
11
11
00
00
10
00
00
10
10
10
00
10
10
00
10
11
11
11
10
10
00
10
00
00
00
10
00
00
11
00
00
10
11
00
10
10
11
00
10
01
00
00
11
10
11
00
10
11
10
01
00
10
10
00
11
10
00
00
11
10
11
01
11
00
01
00
01
10
01
11
10
00
01
01
11
00
00
01
00
10
00
10
10
00
10
11
00
00
01
00
00
00
10
00
10
10
10
01
10
10
00
10
01
01
10
10
01
00
00
10
11
10
01
00
10
10
00
10
01
01
00
10
00
11
00
10
11
11
00
11
01
10
11
00
00
00
01
10
10
00
01
10
10
00
01
01
10
11
01
10
00
00
10
10
00
01
01
11
10
10
01
10
10
01
10
10
00
01
10
11
00
01
00
00
10
10
00
11
10
10
00
10
10
00
00
00
10
00
10
00
10
00
00
11
01
10
00
11
10
00
11
00
00
00
11
10
11
00
10
00
10
10
10
10
00
11
10
10
00
01
10
10
11
11
00
00
00
10
10
10
01
10
11
00
10
10
11
11
10
00
00
00
00
01
10
01
01
11
00
10
01
00
00
10
10
00
01
10
10
10
01
01
00
00
10
00
00
10
10
01
00
01
10
00
00
00
10
11
00
00
10
11
01
10
10
01
00
10
00
10
01
01
00
11
10
00
11
10
00
11
10
00
01
00
00
00
10
00
01
11
11
01
00
01
10
10
00
10
00
00
10
11
00
10
10
00
00
11
00
11
10
10
10
11
00
00
10
10
00
01
10
00
00
10
10
10
10
00
10
01
01
01
00
10
10
11
01
01
01
10
01
01
11
10
01
10
11
00
01
00
10
00
01
01
00
01
10
00
00
10
11
10
00
11
10
00
00
00
01
10
11
10
10
11
00
11
10
00
10
11
10
11
00
00
00
10
00
01
10
00
10
01
11
01
11
11
10
00
00
01
01
11
10
01
10
01
10
11
00
01
00
11
00
00
10
00
11
01
00
11
01
01
11
01
11
00
01
10
10
00
11
11
00
01
11
10
00
10
00
00
00
11
10
00
00
10
01
00
10
00
10
00
00
10
01
01
00
10
11
00
00
10
10
00
11
01
00
10
11
00
11
00
10
00
00
10
10
00
01
01
01
10
11
10
11
10
10
00
00
10
10
10
00
11
11
00
10
00
11
10
01
10
01
00
01
01
11
00
10
00
00
10
11
00
00
11
01
11
11
11
10
11
10
01
00
11
00
00
11
11
10
01
10
11
10
00
01
00
00
11
10
00
01
00
11
01
10
00
01
11
00
11
11
00
00
10
00
10
00
00
10
10
11
01
10
01
00
11
00
00
00
00
10
01
10
11
01
01
10
10
00
00
00
10
11
00
11
10
10
00
10
00
11
00
00
00
10
00
00
11
01
00
11
00
01
00
00
10
10
10
00
00
10
10
00
11
11
10
01
00
00
10
00
11
00
00
10
00
00
00
10
00
10
10
10
10
10
10
10
00
10
11
01
10
00
10
10
01
01
10
01
00
10
00
10
10
10
10
00
10
11
00
00
00
10
00
00
10
11
00
00
10
11
11
10
11
10
01
00
11
10
00
00
00
11
11
10
00
00
10
01
00
00
10
10
11
10
01
10
00
00
10
10
00
01
00
10
01
10
00
00
00
10
00
00
11
01
01
10
10
01
11
00
10
10
01
11
00
10
00
01
10
11
00
00
00
01
10
11
10
01
01
00
11
10
01
00
00
10
10
00
01
10
10
01
10
10
01
01
11
00
00
10
11
00
00
00
10
10
00
10
00
10
11
10
01
11
10
10
00
10
10
11
00
00
11
00
10
01
11
00
10
10
00
11
00
10
10
10
01
00
00
00
10
11
10
00
10
00
00
01
10
10
10
10
10
10
10
01
01
11
11
10
01
00
01
10
10
10
10
01
00
01
10
00
01
11
11
00
01
01
10
10
10
00
01
11
10
00
00
01
01
10
01
10
11
11
10
00
00
00
00
10
10
11
10
11
00
00
00
10
00
01
00
00
11
10
10
10
11
10
00
10
01
10
10
00
00
10
10
10
00
10
10
00
10
00
01
00
11
01
10
01
01
00
01
01
10
10
00
01
00
00
11
10
10
11
00
01
11
00
00
01
10
10
00
11
01
11
00
00
11
00
00
11
11
00
00
10
00
00
10
11
10
00
00
11
00
10
00
10
10
00
10
11
10
00
00
00
11
10
11
10
01
11
10
01
01
00
10
00
10
01
01
10
00
00
01
10
10
01
10
10
01
10
11
10
00
10
00
10
00
11
01
01
10
10
00
11
01
10
11
00
10
00
10
00
01
00
10
10
11
00
10
01
10
11
10
01
11
10
00
00
11
10
10
00
01
10
10
10
00
10
00
10
10
00
00
11
01
11
11
10
00
10
00
00
10
10
10
00
00
01
01
10
10
00
10
00
10
10
10
10
10
10
11
00
10
10
00
10
10
00
11
00
00
10
00
10
11
10
10
00
10
11
10
11
00
11
10
00
10
00
10
00
01
10
00
10
10
10
11
10
00
10
00
11
11
01
01
10
11
10
00
10
00
01
10
10
01
00
10
10
00
10
01
10
01
10
01
10
11
01
00
10
10
00
10
00
01
10
10
10
11
10
11
11
11
01
10
01
11
11
11
10
01
10
00
00
01
10
10
10
11
00
00
00
11
00
00
11
10
01
00
01
10
11
00
10
11
01
11
10
01
00
11
10
00
00
10
11
01
11
11
00
01
01
01
01
01
10
11
01
01
11
10
00
00
00
01
11
00
10
11
01
01
00
10
00
11
10
00
00
11
10
00
10
10
10
01
00
00
00
11
00
10
10
00
00
10
11
11
11
01
00
11
00
11
00
00
11
10
01
10
10
00
01
11
00
00
10
00
11
10
11
10
01
00
00
01
10
11
01
01
11
10
10
00
00
00
11
10
10
00
00
00
10
10
01
00
11
10
10
10
00
10
10
11
00
01
01
10
10
10
10
00
00
10
01
01
11
10
10
00
00
10
00
01
10
01
01
10
01
00
10
01
10
11
10
10
00
00
10
00
10
11
00
00
11
00
00
10
10
10
00
10
01
11
11
01
10
01
01
01
10
00
01
10
10
01
00
10
11
00
11
00
01
10
00
10
10
00
00
00
10
00
01
00
10
11
01
10
00
01
10
10
00
01
10
00
10
00
10
00
01
00
01
01
11
00
10
10
00
10
11
10
00
10
11
01
10
10
10
10
00
00
01
01
00
00
00
10
10
01
00
10
11
00
10
11
00
11
10
00
10
10
10
00
10
11
00
11
10
11
01
10
00
00
00
10
11
00
10
10
10
11
00
00
00
10
10
00
10
10
00
11
10
00
00
00
01
10
00
10
10
00
00
00
00
10
00
10
01
10
10
00
11
01
11
00
01
01
00
00
11
10
00
10
01
10
00
10
11
01
00
01
00
10
11
10
01
10
10
00
00
00
10
10
00
11
11
01
00
10
01
00
01
00
10
00
10
10
00
10
11
11
01
11
00
11
00
00
00
00
11
10
00
01
11
10
00
10
00
00
00
01
00
11
10
10
10
11
01
10
00
00
11
01
10
00
10
00
01
11
10
01
00
00
01
10
01
11
10
00
00
10
10
11
11
00
00
10
00
10
10
10
00
11
01
11
10
10
01
11
11
01
00
10
10
01
00
11
11
00
11
00
00
10
10
00
00
10
10
01
00
11
10
10
00
11
10
01
11
11
11
00
11
00
10
00
01
10
00
00
10
00
01
01
01
10
00
11
10
11
10
11
00
10
00
10
00
00
11
11
11
00
01
11
11
11
00
01
10
00
10
10
01
00
00
00
11
00
01
10
00
01
10
11
11
10
01
01
10
01
00
00
11
10
10
10
00
01
10
00
00
10
00
00
00
01
10
01
00
00
00
00
10
10
00
01
00
11
10
11
11
11
10
01
00
10
11
10
00
00
01
11
10
01
11
10
00
00
00
10
00
00
10
00
11
11
11
00
10
10
01
00
10
00
00
10
00
11
11
00
10
10
10
10
00
10
01
00
11
00
11
11
01
10
00
00
11
01
10
10
10
00
10
11
00
01
00
00
10
10
10
00
11
11
10
10
10
10
01
00
10
00
10
11
00
10
00
10
10
11
00
10
10
10
00
11
10
11
10
10
11
11
00
00
00
10
11
11
01
00
11
01
00
00
00
11
10
10
10
11
00
10
00
10
10
00
10
11
01
00
10
00
01
00
10
00
11
00
10
10
10
00
00
11
01
00
11
11
10
00
01
00
11
10
01
10
10
00
10
00
00
01
10
10
11
01
10
01
11
00
00
11
11
10
10
00
10
00
01
10
11
00
10
01
11
00
00
10
10
00
00
01
10
10
10
10
00
10
11
01
00
00
10
11
01
01
00
10
11
11
11
11
10
00
00
00
11
01
01
11
00
00
00
10
00
01
10
01
10
10
00
10
00
01
11
11
11
10
11
11
00
01
00
11
10
00
01
01
00
10
10
10
11
00
01
10
10
00
00
00
11
01
00
10
00
10
11
10
00
00
11
10
01
00
10
01
00
10
00
00
01
11
01
11
10
01
10
00
01
00
11
10
01
01
01
10
01
00
10
11
10
10
00
00
00
00
11
10
10
00
01
11
01
11
11
00
10
11
00
10
00
00
00
00
10
10
10
00
11
11
00
00
10
10
00
01
01
10
00
00
11
10
10
11
00
10
01
00
01
11
10
01
10
10
11
01
11
10
01
00
00
01
11
00
00
11
10
10
00
10
10
00
01
00
01
11
10
11
10
00
10
00
01
11
01
00
01
10
10
00
10
11
00
01
00
10
00
11
00
00
00
10
10
00
10
00
11
01
00
10
01
00
10
10
00
01
01
11
10
00
10
00
00
00
10
10
00
00
11
00
10
11
10
10
00
00
10
01
01
10
10
01
01
00
00
10
10
00
00
11
10
11
01
01
11
01
10
10
01
00
11
10
01
00
10
10
00
01
01
10
11
00
00
10
10
00
11
00
00
11
10
10
10
10
01
10
00
00
10
00
10
00
00
10
00
01
00
00
11
10
01
11
10
10
10
10
00
01
11
10
00
01
11
11
10
00
00
10
00
00
11
10
10
00
11
01
10
01
01
11
01
00
10
00
10
10
01
00
00
10
00
11
00
10
10
00
11
00
11
11
01
10
11
00
00
00
11
10
00
11
10
00
00
00
10
11
00
00
00
11
10
10
11
01
00
10
01
00
01
10
10
00
00
01
00
10
00
01
10
00
00
11
10
00
11
01
00
10
10
00
00
10
10
11
11
00
10
11
10
10
10
10
00
11
00
00
10
00
10
01
01
10
10
00
10
00
01
11
11
01
10
00
00
10
00
01
00
10
11
11
01
11
11
10
10
11
10
00
01
10
01
10
00
00
00
10
10
10
00
00
01
10
10
00
01
00
00
00
10
00
01
11
00
10
10
10
10
00
01
10
10
01
01
00
10
01
00
00
10
10
00
10
10
00
00
00
11
10
10
00
11
11
01
00
10
00
00
00
10
10
00
00
00
10
01
11
00
10
00
00
10
10
11
00
10
01
10
11
00
10
00
00
00
10
11
00
01
10
10
00
00
00
10
11
00
11
00
01
10
00
01
00
00
10
11
10
00
01
01
10
11
00
10
10
11
11
10
11
00
01
00
00
11
01
00
10
10
00
10
00
01
00
11
11
01
10
10
00
01
10
10
11
00
00
00
00
00
11
10
11
10
10
11
10
00
10
11
11
01
10
10
11
01
01
01
00
10
01
01
11
01
10
10
00
00
00
10
11
00
00
10
11
11
01
00
10
11
00
01
11
00
00
00
11
01
00
10
00
10
10
10
10
11
00
00
10
00
01
01
10
10
11
00
00
00
10
10
01
01
10
10
00
10
11
01
10
00
00
00
11
11
01
00
11
11
01
11
11
01
00
11
11
01
01
01
11
10
01
00
10
11
00
00
10
11
00
00
10
10
10
00
10
10
01
01
10
01
10
01
01
11
00
00
10
01
00
11
10
01
11
10
10
10
00
01
10
00
00
00
00
00
10
10
10
01
00
00
10
00
01
11
10
11
10
11
00
11
00
11
11
10
00
00
01
11
00
10
00
00
01
01
10
00
01
10
10
10
11
10
00
01
00
00
01
10
11
01
11
01
11
01
01
10
10
10
00
10
10
00
01
10
10
11
01
10
11
01
00
00
01
10
00
01
01
01
10
11
11
01
10
11
00
10
11
10
00
00
00
11
10
10
10
01
01
10
00
00
00
00
00
00
10
00
00
10
10
01
00
10
00
10
11
10
00
10
00
10
11
00
10
10
01
01
11
10
01
10
00
00
00
11
10
00
00
10
10
00
10
10
10
11
10
11
01
00
11
11
10
10
11
00
00
10
11
10
01
10
00
00
00
00
10
10
11
10
01
00
10
10
10
10
00
10
11
11
00
10
00
11
00
00
10
10
10
00
00
01
00
00
10
10
11
00
01
10
00
10
00
10
10
11
10
00
11
01
00
11
11
01
00
11
00
01
11
10
11
00
00
11
10
01
01
10
11
01
01
10
10
10
00
11
11
00
11
10
00
10
10
01
01
01
00
10
10
10
00
01
11
10
11
10
00
11
01
11
11
01
01
00
11
00
11
10
01
01
00
11
11
00
11
00
10
11
10
01
11
11
00
00
00
10
01
10
01
00
01
10
00
10
10
00
00
00
00
10
10
11
11
00
10
10
00
00
00
01
01
11
10
01
11
10
11
10
00
00
11
11
00
00
10
11
00
10
01
00
01
10
00
10
11
00
11
00
00
00
10
00
11
11
00
00
11
10
11
10
11
00
10
00
00
10
10
01
01
10
11
10
01
00
01
00
10
11
00
11
11
10
10
10
01
00
00
10
00
11
10
11
10
10
00
10
01
01
10
00
00
00
11
10
01
10
11
11
00
10
00
10
10
11
10
00
10
10
00
10
00
01
10
10
00
00
11
10
11
10
10
01
01
10
11
00
00
10
10
11
00
00
10
00
00
01
10
11
00
10
10
11
11
10
00
01
10
11
11
00
10
00
11
10
01
01
00
01
00
10
01
10
10
01
10
11
11
00
10
00
10
10
00
00
00
11
10
10
00
00
01
00
00
10
10
00
10
10
10
00
00
10
00
00
11
10
01
10
10
11
01
00
00
00
10
10
10
00
01
11
11
10
01
10
10
10
00
01
01
00
00
10
00
00
10
10
01
11
01
00
00
10
01
01
10
00
00
10
01
10
10
00
01
01
00
10
00
10
10
11
10
00
10
11
10
00
00
00
11
10
01
11
10
00
01
00
11
10
01
11
10
10
00
10
10
11
10
00
11
00
00
01
00
11
00
01
00
10
10
10
11
00
10
10
01
01
00
01
10
00
00
10
00
11
00
10
10
01
10
00
01
01
00
10
11
10
10
00
00
00
01
00
00
00
01
10
10
01
00
00
00
10
10
10
00
00
00
10
10
10
10
10
00
11
10
01
00
10
01
10
00
10
11
00
10
10
00
00
00
11
10
00
00
00
11
10
01
00
11
01
10
11
00
00
00
11
10
01
10
11
10
01
10
00
00
10
10
00
10
11
01
00
11
10
11
01
10
10
10
00
00
01
11
00
01
11
00
10
10
10
00
00
11
00
10
10
01
00
10
00
01
01
01
01
11
11
00
01
00
01
10
11
00
11
10
00
01
01
10
10
10
01
11
00
11
10
00
00
10
10
00
00
10
11
00
10
10
01
00
10
10
10
00
00
11
11
11
01
01
00
10
10
11
00
00
10
10
01
10
00
11
10
10
11
00
00
10
10
01
00
11
01
11
00
11
10
10
01
10
10
00
00
10
00
01
00
01
11
10
10
00
00
11
10
10
00
01
11
00
10
00
01
11
00
10
00
11
10
10
10
00
01
10
00
01
01
00
10
00
10
10
10
11
00
00
11
00
01
10
01
01
00
00
10
00
00
10
11
10
00
01
10
00
10
10
11
00
00
10
10
00
00
10
00
10
11
00
11
10
00
11
10
00
00
00
10
10
00
11
01
00
10
10
00
10
00
00
10
01
01
10
01
00
11
00
11
10
01
00
01
10
11
00
01
00
11
00
11
01
11
10
00
01
10
00
00
11
01
11
10
10
10
10
10
00
01
11
10
00
00
10
10
01
10
00
10
11
00
10
10
00
01
00
11
10
00
11
00
00
00
10
10
01
01
11
00
00
01
11
01
10
00
01
10
00
00
10
10
11
10
00
00
10
11
00
11
11
11
01
00
10
00
00
11
00
00
11
10
00
10
10
01
11
10
01
01
10
00
10
01
10
01
00
00
01
01
10
10
00
11
10
00
00
00
10
00
11
00
11
00
10
10
00
00
01
11
10
10
01
11
00
01
01
00
01
10
10
00
01
11
00
00
01
00
10
10
11
00
01
10
11
00
00
00
10
00
00
11
01
11
10
10
10
10
10
00
10
10
10
10
00
10
01
01
01
01
00
11
10
10
01
00
11
10
01
00
10
10
00
11
10
10
10
10
10
01
10
10
00
00
10
00
01
10
00
00
10
10
00
11
10
11
01
10
00
11
10
10
11
00
00
10
11
10
00
10
10
00
11
00
01
10
10
00
10
10
00
00
11
00
00
00
01
10
00
10
10
11
00
01
10
10
01
11
10
10
00
00
10
00
00
00
01
10
01
10
10
10
01
11
11
10
01
01
01
10
10
00
10
10
00
00
10
10
11
10
00
00
10
00
00
01
10
00
00
01
00
11
10
11
10
00
10
01
10
00
00
00
10
00
00
00
11
11
00
01
11
10
00
00
10
10
00
01
01
10
11
01
10
10
00
01
00
11
11
01
00
01
11
00
00
11
00
10
10
01
10
11
00
01
10
10
01
10
01
00
00
00
10
11
01
00
10
00
10
10
10
00
00
01
01
10
11
11
10
01
00
10
10
01
00
11
00
01
10
10
10
10
01
10
01
00
10
10
10
10
00
00
10
11
00
00
10
00
00
01
11
11
01
00
10
11
10
10
11
01
11
00
10
00
11
00
00
10
00
00
01
10
01
10
01
00
00
11
10
00
00
00
01
10
10
10
10
00
00
01
10
10
10
10
01
11
00
00
10
10
11
11
01
01
00
11
10
01
00
10
10
01
10
00
00
11
00
01
01
11
00
10
10
00
01
00
00
11
01
00
00
01
11
10
00
00
10
00
00
10
11
10
11
11
00
10
10
00
10
00
00
11
00
00
10
00
11
00
01
10
01
01
01
10
10
10
01
00
10
10
10
10
10
01
10
00
01
10
00
11
01
10
10
00
10
10
00
00
00
11
01
00
10
00
00
10
10
10
01
00
10
00
10
10
00
10
10
11
00
10
11
10
11
00
10
01
11
10
00
00
10
11
00
01
11
11
01
01
10
00
10
10
00
00
11
10
10
10
00
00
00
10
10
00
00
10
11
10
01
01
10
01
00
01
00
11
11
00
00
01
01
11
11
00
11
11
01
00
11
11
01
10
10
00
00
11
10
11
00
00
10
00
01
10
00
01
00
01
10
00
01
11
00
00
00
11
10
01
00
11
11
10
00
10
10
10
10
00
10
00
10
11
00
10
10
01
11
00
10
10
00
01
11
00
00
00
01
00
00
10
10
11
10
01
10
00
11
00
01
10
01
01
01
00
00
10
11
01
10
01
01
10
11
10
00
11
11
01
10
10
00
00
11
11
11
00
10
10
10
11
00
11
11
00
11
10
10
11
00
00
01
00
11
10
11
00
10
10
10
10
00
00
10
11
10
10
10
10
00
00
00
00
00
11
00
11
10
00
00
10
10
10
00
01
10
11
00
01
00
10
10
10
00
00
10
10
10
10
00
00
00
10
00
11
10
10
01
00
10
00
10
10
01
00
10
00
10
10
11
10
00
11
01
00
11
10
10
01
00
00
00
01
10
10
00
00
01
10
00
00
10
10
00
00
00
10
10
10
10
10
01
00
10
00
10
00
00
10
00
11
10
01
00
00
10
10
01
01
01
11
10
11
10
11
01
11
11
01
00
10
01
00
01
11
10
00
00
10
00
01
11
10
01
10
00
00
11
11
01
11
10
10
10
11
10
00
00
01
00
10
00
00
00
10
00
11
10
01
10
00
01
10
10
10
00
11
00
10
00
10
00
11
00
10
10
10
10
00
01
00
11
00
11
00
00
00
01
11
11
10
00
00
01
10
00
00
11
11
10
10
00
01
01
00
11
10
10
11
00
10
00
00
01
11
11
00
11
00
00
00
10
10
10
11
00
01
00
00
10
10
01
01
01
11
11
10
10
11
10
00
00
00
10
01
01
10
00
10
01
00
10
00
01
01
10
10
10
10
00
10
11
00
10
10
11
00
01
11
01
00
01
01
10
10
00
01
10
11
00
10
10
10
10
01
10
10
00
00
00
00
00
00
00
11
01
00
00
01
10
10
10
00
00
10
10
01
00
10
10
00
10
10
01
10
11
10
00
00
01
10
00
00
10
10
11
01
01
00
00
01
00
00
00
11
10
00
00
10
10
10
00
01
01
10
11
10
00
00
10
11
01
01
10
10
00
10
10
00
11
00
01
00
00
11
00
11
00
10
11
00
00
01
01
11
00
10
10
00
01
00
01
11
11
10
10
00
00
11
01
10
00
01
10
10
11
00
10
10
00
00
00
11
10
00
01
11
01
10
10
01
11
10
10
00
11
10
00
11
00
11
10
10
10
01
00
10
00
00
11
00
00
10
10
00
01
00
10
11
11
00
10
11
11
10
01
00
01
00
00
11
00
00
10
11
01
01
00
11
00
10
01
01
00
10
11
00
00
11
00
10
11
00
11
10
10
01
11
00
10
01
01
00
01
11
10
00
11
00
00
10
11
00
00
10
01
11
00
01
00
10
10
00
10
10
01
00
11
01
00
00
11
10
01
11
00
11
10
00
11
10
00
00
10
11
00
00
00
11
10
10
11
01
00
10
10
00
01
01
00
10
10
00
00
10
10
00
10
00
10
00
00
00
00
10
00
11
10
11
10
01
10
00
10
01
01
01
00
11
00
00
01
11
10
00
10
10
00
01
00
11
10
00
10
10
10
01
10
11
01
01
01
11
11
00
11
10
01
00
00
11
10
01
00
00
11
11
01
00
11
10
10
00
00
00
10
10
00
00
00
10
10
10
10
10
11
11
11
00
10
10
11
00
11
11
01
01
01
10
10
00
01
00
00
10
10
10
00
10
10
00
00
10
11
11
00
00
01
00
10
10
01
10
00
00
11
01
01
00
11
00
10
00
10
10
11
01
00
00
10
00
00
00
00
11
11
10
11
10
11
11
01
11
11
00
01
00
10
11
11
00
00
11
11
00
00
10
10
00
00
00
00
10
10
10
01
10
11
00
00
01
10
11
11
10
00
00
00
10
01
00
00
00
11
10
11
11
00
10
10
01
11
11
00
00
00
01
00
00
10
01
00
00
00
10
01
01
10
10
10
00
10
10
10
10
00
11
10
00
00
11
01
00
01
11
01
10
00
01
00
00
10
11
00
00
00
10
00
10
01
10
11
00
10
10
00
10
10
10
10
01
11
00
11
10
10
10
11
10
00
00
10
10
01
00
10
00
00
10
00
00
10
00
10
10
00
11
01
00
00
00
10
00
10
10
00
01
00
10
00
10
01
00
00
01
00
00
11
10
01
00
10
10
01
01
10
10
10
01
11
01
00
10
00
01
00
10
10
00
00
00
01
10
11
00
01
11
00
10
01
00
11
00
00
10
10
00
11
11
00
10
11
00
00
10
00
01
10
10
00
11
00
00
10
00
10
10
01
00
00
10
11
10
01
10
00
00
00
00
00
10
10
00
01
00
11
00
11
10
11
00
00
01
11
00
00
00
10
01
10
00
01
10
00
01
00
10
10
00
00
11
01
10
10
10
10
00
00
10
00
00
10
01
10
11
01
11
01
10
10
00
00
00
10
11
01
10
01
11
11
10
00
00
00
10
00
10
00
00
10
00
10
10
01
11
01
00
10
01
10
10
10
10
00
10
11
01
01
00
00
00
00
10
00
11
10
01
01
00
01
10
00
10
00
00
10
10
10
01
00
10
01
10
10
01
10
01
11
00
10
00
10
01
00
10
11
11
01
10
00
10
00
00
10
01
01
10
10
10
00
01
00
00
11
10
01
10
10
11
01
11
00
01
10
01
00
10
00
00
11
10
01
01
10
00
11
10
11
00
11
11
01
00
00
00
10
00
10
01
00
10
00
00
11
00
10
00
00
00
01
11
11
00
01
00
01
10
00
10
10
00
00
11
10
10
01
01
10
01
10
00
00
10
01
01
11
10
00
10
00
00
00
01
10
10
11
01
10
11
10
11
01
00
00
00
11
11
01
10
10
10
10
00
00
11
10
01
00
11
11
10
11
11
11
00
00
10
00
10
10
01
01
00
10
10
00
00
01
10
01
01
11
10
01
10
11
01
01
00
10
10
01
11
11
00
11
00
10
00
00
00
10
10
00
10
11
10
00
00
00
00
10
00
00
10
10
00
11
00
00
11
00
10
10
10
00
00
00
11
10
00
10
00
00
10
10
00
00
10
00
00
10
10
00
11
10
11
11
00
00
01
00
01
00
10
00
00
01
11
01
00
10
11
01
00
00
00
00
10
10
01
10
10
11
11
00
10
01
10
01
00
11
11
11
10
00
00
00
10
10
01
00
00
10
11
11
10
00
00
01
11
11
11
10
00
11
00
10
01
00
10
01
00
11
00
00
10
00
11
10
00
00
00
00
01
10
01
11
01
10
10
10
10
10
10
01
10
01
11
10
00
00
11
00
00
00
00
10
10
10
01
11
00
00
10
10
01
11
01
00
00
10
00
01
01
11
10
01
11
11
10
10
01
10
00
00
10
10
10
00
00
10
01
00
00
00
10
10
00
01
00
00
10
01
10
11
10
01
11
10
00
10
01
00
10
10
10
10
10
10
00
11
00
01
10
10
00
00
10
11
00
01
01
00
01
10
11
10
01
00
00
00
10
00
01
11
10
01
00
00
01
01
11
10
10
01
01
00
00
10
00
11
01
01
01
00
10
11
10
00
00
11
10
10
00
10
00
00
01
10
10
00
01
10
10
00
00
10
10
01
10
10
00
10
00
10
00
01
01
00
00
00
00
10
11
10
01
11
01
10
10
10
11
10
01
10
10
10
10
01
10
00
00
10
00
10
00
01
00
00
00
00
00
10
11
00
10
10
00
00
00
00
01
00
10
01
10
10
00
00
01
01
11
10
11
00
00
00
11
01
10
11
00
11
00
01
01
11
11
10
10
01
10
11
10
01
10
10
00
10
10
00
00
10
10
10
00
00
10
11
11
00
11
10
01
10
11
01
00
01
00
01
10
10
00
01
11
11
10
11
10
10
00
10
10
00
01
11
00
01
00
01
10
01
01
10
01
00
00
10
11
00
11
00
00
00
01
10
01
01
11
10
10
10
10
00
01
00
10
10
01
10
10
00
00
00
11
11
00
00
10
10
01
10
00
01
10
10
00
00
00
10
00
01
00
11
10
00
11
00
10
10
00
00
11
11
10
01
00
11
00
11
01
10
00
00
11
10
00
00
10
10
00
11
11
10
01
11
11
01
01
11
00
10
10
01
00
10
11
00
01
11
00
10
11
10
00
00
10
10
10
10
00
10
10
01
00
00
10
10
11
00
10
00
00
10
10
10
01
10
10
01
00
00
10
10
01
10
01
11
11
01
11
10
00
01
10
10
01
00
10
10
01
00
10
10
10
10
00
10
00
11
11
10
10
10
01
01
00
10
10
01
10
10
01
00
10
11
10
00
10
10
10
00
00
10
10
11
00
10
11
10
11
10
01
10
10
00
00
11
01
10
11
01
01
10
01
01
11
01
00
10
01
00
11
11
00
11
10
00
01
10
11
10
11
00
10
10
00
10
10
00
00
10
01
10
00
01
01
10
00
10
10
00
10
11
00
00
10
10
10
01
00
00
01
01
00
00
00
10
10
00
10
10
11
00
01
00
01
10
00
00
10
11
01
00
10
11
10
11
00
11
10
10
10
01
10
10
00
01
10
00
11
11
10
10
10
00
00
00
10
10
00
00
10
11
01
10
00
00
00
10
11
00
00
10
11
11
10
10
01
11
11
11
00
01
10
00
11
00
00
10
10
01
11
00
10
01
10
00
11
00
01
00
01
10
00
10
00
10
10
10
01
00
10
10
00
11
11
00
01
00
00
10
10
01
11
10
11
00
01
10
00
10
10
00
00
00
10
10
00
00
00
00
11
00
10
10
10
00
00
11
00
01
10
10
10
00
10
11
11
11
00
00
00
11
10
00
10
10
00
10
00
00
00
00
10
00
11
11
10
11
00
10
10
01
10
01
10
00
01
11
10
10
00
00
10
01
00
10
10
00
10
00
11
00
00
10
01
00
00
10
10
10
00
10
10
10
00
00
00
01
01
11
10
11
01
00
00
00
10
01
00
01
10
00
00
01
00
00
00
11
10
00
00
00
10
10
01
11
10
01
10
01
11
11
00
00
00
00
11
01
00
01
10
10
00
11
00
00
10
11
10
00
01
10
00
01
01
10
00
10
10
10
01
00
00
00
10
10
00
10
10
01
00
10
00
10
10
00
00
10
10
00
01
10
00
00
00
00
00
00
11
10
01
10
11
01
01
11
01
00
10
10
10
00
00
11
01
00
10
00
00
00
01
00
11
01
11
10
10
00
10
00
01
10
00
00
11
00
11
00
10
10
00
01
00
10
10
01
10
11
00
01
00
10
11
00
00
10
00
01
00
11
10
10
00
10
11
10
00
00
10
10
00
10
00
10
11
00
11
10
01
11
10
10
10
00
00
10
10
11
10
00
00
10
11
01
00
00
11
10
10
01
00
11
10
00
11
01
01
01
10
10
01
10
01
00
10
00
00
10
00
10
11
11
00
00
00
00
00
10
00
10
00
10
10
10
00
01
10
01
00
00
00
10
00
00
00
11
10
00
10
10
10
01
11
00
10
01
00
11
01
11
00
11
01
00
10
00
10
10
10
00
10
01
10
01
10
10
11
00
00
10
01
01
10
01
00
10
00
10
10
00
10
11
00
00
00
10
10
00
00
11
10
00
00
10
00
10
01
11
11
00
00
10
10
01
11
00
01
10
00
00
00
00
00
10
11
10
00
00
10
10
10
01
10
10
11
11
00
11
00
11
00
01
11
01
11
11
00
00
11
10
00
10
10
00
11
10
00
10
10
10
00
00
01
01
11
10
00
10
10
00
11
11
01
10
11
01
11
10
00
01
10
11
01
11
01
10
10
10
00
11
01
00
10
11
10
00
10
11
11
11
11
01
00
10
01
00
00
10
10
00
10
00
11
01
10
10
10
01
10
10
01
10
00
00
00
01
00
10
10
10
00
10
10
00
00
11
10
01
10
10
00
10
01
01
01
10
01
00
00
00
10
10
01
11
11
01
00
00
10
00
10
10
01
01
10
11
00
00
01
01
10
10
10
00
10
00
00
10
10
11
01
10
10
00
10
01
11
00
10
11
00
00
10
10
01
01
10
11
10
00
00
10
01
01
01
10
10
11
11
10
01
10
10
00
10
00
00
10
01
10
11
10
00
00
11
01
10
11
00
11
10
00
00
10
10
01
00
00
00
10
00
00
00
10
10
01
01
10
10
10
10
00
01
11
01
01
11
10
01
10
10
01
01
10
10
01
01
10
10
01
00
10
10
00
01
10
10
10
10
11
10
00
00
00
10
10
01
00
00
10
11
10
01
00
10
10
10
00
00
10
10
01
10
10
00
11
11
00
00
11
00
11
11
01
10
11
00
01
00
10
01
00
00
10
00
00
10
10
11
00
00
00
01
11
00
00
10
10
01
10
01
11
10
10
00
00
00
10
10
00
01
11
00
00
01
10
10
00
00
10
00
00
10
10
10
00
00
00
01
00
00
00
01
00
10
00
10
10
00
00
10
10
11
01
10
01
00
00
10
10
10
11
00
10
11
10
01
01
00
01
10
10
00
00
10
00
00
00
11
11
10
00
10
10
00
10
00
11
00
00
01
01
00
00
00
10
10
00
10
00
10
11
00
10
01
10
11
10
10
01
01
00
10
10
00
10
00
10
00
01
00
00
00
00
00
10
10
11
10
10
01
10
01
00
00
00
10
10
10
00
00
10
00
10
10
11
01
01
01
10
10
10
11
00
11
00
01
00
11
11
00
11
10
10
01
00
10
00
00
10
10
10
10
00
10
11
10
00
00
10
10
00
11
00
11
10
10
01
00
10
11
00
01
00
10
11
00
01
00
00
10
01
00
00
11
10
01
00
01
00
01
10
10
00
11
00
00
10
00
00
01
11
10
10
00
00
10
01
00
11
10
10
00
10
01
10
01
01
10
10
11
00
10
01
00
10
10
00
00
10
10
00
11
00
11
11
01
10
00
00
00
10
10
11
00
01
01
01
01
10
00
00
10
11
11
01
10
10
00
01
00
10
10
01
00
00
10
10
01
10
10
00
10
00
10
10
10
00
00
11
00
10
00
01
10
01
10
10
01
00
00
10
10
10
11
10
10
11
11
00
00
10
00
00
11
00
10
10
00
10
00
11
11
00
01
01
00
00
01
10
11
11
01
10
11
00
01
00
10
00
00
10
10
00
00
11
00
00
00
10
00
01
10
01
11
00
10
11
10
11
10
00
11
11
00
00
11
10
10
10
11
01
01
11
10
10
10
00
11
10
01
10
00
10
11
00
10
11
00
11
10
11
00
01
11
00
00
10
11
11
00
01
00
00
00
01
00
11
10
00
00
11
11
00
10
10
10
10
00
00
00
11
10
11
10
00
10
11
00
00
00
10
10
00
10
01
00
10
10
10
00
00
01
00
01
10
10
10
11
00
00
11
10
11
11
10
01
01
10
10
10
10
10
00
00
10
10
01
00
00
10
00
00
10
00
11
10
01
10
00
00
10
01
11
10
00
11
11
01
01
01
10
10
01
00
00
01
10
10
00
00
11
00
11
01
11
01
00
11
01
11
10
01
00
10
11
00
00
00
10
11
00
11
11
00
10
10
10
01
01
10
10
10
00
00
01
10
10
01
00
00
11
00
10
10
00
00
10
00
00
10
10
00
10
10
10
00
01
11
00
00
10
00
11
01
00
00
00
10
11
00
10
10
10
00
00
10
10
00
10
10
00
01
11
01
01
01
10
00
11
11
01
00
01
10
01
00
10
11
01
00
11
11
00
00
10
01
10
10
00
10
00
00
10
10
10
10
10
10
01
01
00
10
10
00
01
10
00
00
11
00
01
10
10
10
11
00
00
01
10
10
00
11
00
01
10
10
10
00
11
01
10
01
00
01
00
00
10
10
11
10
01
00
11
10
01
00
01
00
01
10
11
00
00
11
11
10
00
10
10
10
00
00
11
11
01
01
10
10
01
00
00
11
10
10
00
00
01
10
01
00
00
10
10
01
00
00
11
01
10
00
10
00
11
10
00
10
10
01
01
10
10
10
01
01
11
01
00
00
10
10
11
00
10
10
01
10
10
10
00
00
01
00
00
11
10
11
01
00
00
10
10
00
00
10
11
10
10
10
00
01
11
10
10
01
01
00
11
00
01
00
00
10
00
00
11
10
00
10
01
01
10
10
01
10
11
00
10
10
10
00
11
00
01
00
00
01
10
00
10
10
00
11
00
00
10
11
11
00
00
11
11
10
10
00
01
10
10
01
11
00
00
00
10
00
00
10
00
01
10
00
01
11
10
10
00
01
11
01
00
11
00
00
10
00
01
00
01
11
10
00
11
00
00
00
10
10
10
11
00
10
11
10
10
00
00
00
00
11
10
11
00
00
00
01
00
00
00
11
10
11
00
11
10
10
00
11
10
00
10
00
10
10
11
01
10
00
00
10
10
00
01
10
00
01
00
01
10
00
00
01
10
10
00
00
11
10
11
00
10
01
00
11
10
00
11
01
00
00
00
10
00
00
10
11
00
01
00
00
00
10
11
01
01
11
10
10
11
00
00
10
01
01
00
00
10
01
00
10
00
00
00
10
00
10
10
10
01
00
10
01
10
11
01
11
00
01
01
10
01
00
00
11
00
10
11
00
00
00
11
00
00
10
10
11
00
01
10
10
00
00
11
00
10
10
11
00
11
10
10
10
11
00
00
01
11
10
10
10
00
00
11
10
10
11
00
00
00
01
00
00
10
00
11
11
00
11
10
11
01
10
00
00
10
01
11
11
10
10
00
10
00
10
01
00
00
11
00
00
10
01
10
10
00
01
00
00
00
10
10
10
10
01
00
10
00
00
10
10
01
01
01
11
11
10
00
00
10
01
00
10
10
10
01
11
01
01
00
01
00
00
00
11
10
01
11
00
10
00
01
10
01
11
10
10
11
00
10
01
01
00
10
00
01
01
10
01
00
10
10
00
00
11
11
00
10
00
00
00
10
10
10
10
01
10
01
01
00
10
10
00
11
00
00
00
00
01
00
10
11
00
10
10
00
00
11
11
00
01
10
00
01
11
10
00
00
10
01
01
01
10
00
00
10
11
11
00
01
01
00
11
00
00
11
00
00
10
10
01
00
10
00
10
10
00
10
10
10
00
00
11
10
00
10
00
01
10
00
00
11
10
11
00
10
10
01
11
11
01
01
00
10
00
00
10
11
00
00
00
00
00
00
10
11
00
10
00
10
10
00
01
01
00
00
10
01
01
00
00
01
10
01
01
11
11
10
00
00
10
10
11
10
01
01
11
01
00
10
10
01
01
11
10
10
00
01
10
00
00
00
11
00
10
10
10
10
00
10
10
10
00
00
00
01
00
11
01
00
10
00
10
00
10
11
01
10
01
00
01
00
11
10
11
10
00
00
11
11
00
01
01
10
00
00
10
11
10
00
11
10
00
10
00
00
11
00
10
01
11
00
10
01
10
10
00
00
11
10
11
00
11
10
10
11
00
10
00
00
01
10
10
10
10
10
10
11
11
11
10
10
10
10
00
00
00
01
11
10
00
10
10
10
00
10
10
01
00
10
10
00
11
00
11
10
00
01
10
11
00
00
10
11
00
00
00
00
00
10
11
00
10
10
00
10
00
10
00
00
10
10
10
11
00
10
10
01
01
10
10
00
10
10
10
01
10
00
01
11
10
00
10
00
00
10
10
00
01
10
01
11
00
10
11
00
10
00
00
00
11
10
00
11
00
10
00
01
11
10
01
00
00
10
00
10
11
10
00
10
10
10
10
00
01
10
10
00
10
10
00
01
10
11
00
00
00
11
01
11
00
00
11
10
00
11
11
00
01
01
10
10
00
00
00
00
11
10
00
01
10
00
00
01
00
00
11
11
10
10
00
11
11
11
01
01
01
01
00
01
11
10
00
00
10
11
00
00
10
00
00
11
11
00
11
10
01
00
00
11
11
01
10
11
00
01
00
10
10
00
00
10
10
10
00
10
10
10
10
00
01
01
10
11
00
01
10
11
10
00
00
10
00
00
00
10
10
00
01
10
00
00
11
10
11
10
01
00
01
00
00
10
01
00
01
10
11
10
11
01
10
10
00
00
00
00
10
10
00
00
10
10
01
11
11
10
10
11
11
10
00
00
10
00
00
11
00
00
10
00
10
01
10
10
00
00
00
00
10
00
00
01
00
01
11
10
11
00
01
10
10
00
11
00
00
00
11
11
11
11
10
01
00
00
11
11
00
01
00
10
10
10
10
00
10
10
00
10
00
10
00
01
01
11
11
01
00
10
01
11
01
00
10
00
00
11
01
11
11
01
01
00
00
00
11
10
01
00
10
10
01
00
10
11
10
01
00
00
00
10
10
10
10
00
10
00
11
11
10
11
01
10
10
10
00
00
10
10
01
00
10
10
00
00
10
00
11
01
10
10
10
00
01
00
01
01
10
10
11
10
00
00
11
10
00
01
00
10
00
10
00
10
10
10
00
10
10
10
10
10
10
11
00
00
11
00
10
11
00
10
10
10
00
01
00
00
01
11
01
11
10
01
10
00
11
00
00
10
01
00
01
10
00
10
00
00
10
10
01
01
00
00
00
01
01
00
00
10
11
01
11
11
01
11
00
00
01
00
10
10
00
00
11
00
11
10
10
11
11
10
10
10
01
00
11
01
00
10
10
00
11
00
00
00
10
11
10
00
00
11
11
00
10
00
01
11
11
11
11
00
10
00
00
10
00
01
11
10
00
00
00
01
10
00
01
11
11
01
00
11
10
00
01
11
00
01
11
11
00
10
11
00
00
10
11
00
10
10
00
10
11
10
10
00
00
01
01
01
01
11
11
01
11
00
00
00
00
11
00
00
11
11
01
10
10
11
10
11
00
00
10
10
00
01
00
11
10
00
11
00
11
10
00
00
10
10
00
10
10
10
00
10
00
00
10
10
00
00
11
10
00
10
11
00
10
10
01
00
00
10
00
00
11
10
00
00
10
01
01
00
10
10
10
01
00
11
00
00
10
10
00
00
10
10
10
01
11
10
01
00
11
10
10
00
01
11
00
10
10
10
00
10
10
01
10
10
10
00
01
11
10
00
01
00
00
00
00
10
00
01
11
00
00
01
10
10
00
10
11
00
01
10
10
00
01
10
11
00
00
10
01
00
00
10
00
01
00
00
10
11
00
01
10
00
00
11
10
11
00
00
10
10
00
10
00
01
00
11
11
10
10
10
10
00
00
10
11
00
10
00
11
01
01
10
00
01
11
10
10
00
00
11
00
11
10
01
10
00
11
10
10
00
01
11
10
01
10
01
00
10
11
10
01
01
01
00
00
10
11
11
01
01
01
00
10
10
10
01
00
10
10
00
10
00
11
00
00
00
01
11
11
11
01
10
11
00
00
11
00
00
10
10
10
01
00
10
11
00
10
01
00
10
00
10
10
01
10
00
10
10
11
10
00
00
10
00
00
00
11
00
00
00
11
11
10
00
10
11
00
00
01
10
00
00
11
01
11
10
00
00
10
00
00
10
11
11
01
10
11
11
01
10
10
11
01
10
10
00
01
00
00
11
01
11
01
10
10
11
10
00
11
01
00
00
10
10
00
01
00
10
00
00
00
10
10
00
00
11
10
00
10
10
00
00
11
00
00
00
01
11
10
00
00
00
01
00
10
10
00
00
10
01
11
01
01
00
10
00
00
10
11
01
10
11
10
10
10
11
00
00
10
10
01
01
00
10
11
10
10
10
10
00
10
10
01
11
11
11
00
11
11
11
10
10
00
10
11
01
00
11
00
11
10
10
10
00
11
10
01
00
00
10
10
00
00
10
10
01
10
11
00
10
11
01
00
00
11
10
10
10
11
00
00
11
10
00
00
00
10
10
00
00
10
11
10
00
10
11
00
00
00
10
00
00
00
11
00
01
00
10
10
01
11
10
11
01
10
10
10
10
10
01
00
10
10
00
01
00
10
00
10
00
00
10
10
00
10
10
00
10
10
00
00
10
00
10
10
00
11
01
11
01
00
11
01
10
11
10
10
00
00
10
00
01
11
10
00
10
01
00
01
10
01
00
11
00
10
01
00
01
10
00
00
00
00
01
00
10
10
10
10
10
00
00
01
00
10
00
10
10
10
10
10
11
11
01
01
10
10
10
01
01
00
10
01
10
11
11
10
00
11
10
00
10
11
00
01
10
00
10
11
00
10
10
10
10
00
10
10
10
10
10
10
11
00
00
01
00
00
11
11
00
00
11
10
01
00
00
10
11
00
00
10
11
10
01
00
10
11
11
11
01
01
10
11
11
01
10
10
01
10
01
00
11
10
00
01
11
00
00
01
10
10
00
00
01
11
00
10
00
00
10
00
01
11
10
00
11
10
10
10
00
00
11
10
00
00
10
10
10
11
10
01
01
10
11
00
00
11
00
00
10
00
01
11
10
00
11
10
01
00
10
10
10
11
01
10
11
00
00
01
00
10
00
00
10
10
11
00
00
10
11
11
10
11
01
00
10
00
10
10
11
01
11
00
01
10
10
01
00
10
10
00
00
10
10
11
00
00
11
00
01
00
11
01
00
10
00
10
10
10
00
10
10
10
00
00
00
10
01
10
00
01
00
11
00
11
01
10
00
01
01
10
10
01
10
00
00
10
00
11
10
00
11
10
00
10
01
10
00
00
10
10
01
00
00
10
11
10
00
11
10
10
00
01
00
11
11
00
00
10
00
00
00
00
00
11
10
10
00
10
01
00
10
00
11
00
00
10
11
11
01
00
10
10
11
00
11
11
00
01
00
00
11
00
01
01
10
10
10
10
01
00
11
10
10
00
00
10
10
10
00
00
10
11
00
01
10
10
10
11
01
10
11
00
00
00
00
10
10
11
00
01
00
10
00
00
01
11
10
00
00
10
10
11
10
01
00
10
11
10
01
01
11
10
00
00
10
00
00
00
00
10
10
10
01
11
11
00
00
01
01
10
00
00
10
10
00
11
00
01
10
10
10
00
11
00
10
11
00
10
00
01
10
00
00
10
10
10
10
11
00
00
01
10
10
10
00
01
00
00
11
10
00
00
00
11
00
01
10
10
00
11
00
00
00
10
10
10
01
10
10
01
00
01
10
10
01
10
00
00
11
10
10
00
10
00
00
10
10
10
00
11
00
10
00
01
10
11
00
00
10
00
00
01
10
00
00
11
10
10
10
11
00
01
11
01
01
10
10
10
00
10
10
00
00
10
10
10
10
10
00
10
10
00
10
00
11
01
11
00
00
00
11
10
00
00
10
11
00
01
00
00
10
10
00
10
11
00
00
10
11
00
01
01
00
10
01
01
11
00
01
00
01
10
11
10
00
11
10
10
00
10
11
01
10
10
11
01
00
11
10
00
10
00
00
10
00
10
10
00
00
10
00
00
10
10
11
11
00
10
01
00
10
10
10
00
00
10
00
11
10
10
10
00
11
11
00
01
10
01
10
11
01
00
01
10
10
01
11
10
11
01
00
10
01
10
10
10
00
11
11
10
10
00
00
10
10
11
01
10
10
10
10
00
00
00
10
10
00
10
00
10
10
00
01
10
10
11
00
10
01
10
00
00
00
11
10
00
01
10
00
10
00
00
10
11
10
10
00
11
00
01
10
00
01
10
00
11
10
00
00
11
10
00
10
11
01
00
00
01
11
10
00
00
00
00
01
10
11
00
00
11
10
01
00
00
11
11
10
00
00
10
11
01
00
00
01
10
00
00
10
01
10
10
11
00
01
11
10
01
00
01
00
10
10
00
00
11
10
00
00
00
10
10
01
10
10
11
11
00
00
11
10
00
00
00
00
00
10
01
01
10
10
01
00
01
10
10
00
00
10
11
11
01
00
11
01
00
01
01
11
10
01
00
00
01
10
10
10
00
10
00
01
00
11
00
10
00
00
10
11
00
00
10
00
00
11
10
10
11
01
10
00
00
10
11
10
10
00
00
10
10
11
01
00
10
01
01
00
01
10
00
00
01
00
11
00
01
10
01
00
01
00
00
11
11
00
11
00
10
10
10
00
01
01
11
11
01
11
11
01
00
10
10
00
11
11
00
00
10
11
00
00
11
00
11
10
01
11
00
00
00
10
10
00
00
10
00
01
10
11
00
01
10
11
00
00
00
10
11
00
01
11
00
10
10
11
10
10
11
00
01
10
11
01
10
10
00
10
01
00
10
10
10
00
10
00
10
00
01
10
10
00
11
00
11
10
11
10
01
00
00
10
10
10
00
01
10
00
10
10
01
10
10
00
11
00
00
01
11
01
11
10
00
00
10
00
10
00
00
11
10
10
00
01
10
10
00
01
11
00
11
11
01
10
11
11
01
01
10
10
10
01
00
01
10
10
10
11
10
00
10
10
11
01
01
01
11
10
11
01
10
10
00
01
00
11
10
00
00
10
10
11
10
10
10
00
00
00
01
10
00
01
10
11
01
10
10
10
01
00
01
10
10
00
11
10
01
01
10
01
10
10
00
00
11
10
00
00
00
10
11
00
00
01
10
00
10
10
10
00
00
10
00
00
00
11
11
01
10
10
00
00
11
00
00
00
00
10
01
00
10
11
00
10
00
01
00
11
00
00
10
11
00
11
10
00
00
10
11
00
01
10
10
00
00
00
10
00
00
11
11
10
00
01
01
01
10
00
01
00
01
11
10
00
00
10
00
11
10
11
01
00
00
00
11
11
01
00
01
01
10
01
11
10
00
00
01
00
10
10
10
10
00
11
10
01
00
00
00
00
00
01
10
10
10
11
10
11
00
10
00
10
11
00
01
01
10
10
10
00
00
10
10
00
11
10
01
00
10
00
10
10
00
11
10
11
10
10
10
10
10
01
00
10
10
10
11
01
11
11
01
10
10
10
00
00
11
00
11
10
00
01
00
10
10
00
01
01
11
11
01
01
10
00
00
00
11
10
01
10
11
00
00
10
11
01
10
00
00
00
10
00
00
10
11
00
01
10
10
11
00
00
00
10
11
01
10
10
00
11
10
01
10
10
00
01
00
00
10
00
11
10
10
01
11
00
10
11
00
10
10
10
01
00
10
00
11
11
00
11
10
00
00
10
00
00
01
10
11
00
00
01
00
00
10
10
10
11
00
00
00
11
00
01
00
11
01
10
00
10
00
00
01
10
10
00
10
10
10
10
01
00
00
11
10
11
01
01
10
11
00
00
10
00
01
11
11
10
01
00
10
10
01
11
01
00
10
00
10
10
00
10
10
10
10
00
00
01
10
10
11
00
10
10
10
00
10
00
00
11
10
10
00
01
10
10
10
10
00
00
10
00
01
01
00
10
11
10
10
11
10
00
10
00
00
01
00
10
10
10
00
11
00
01
10
11
00
00
01
10
10
11
10
01
00
01
00
10
11
00
01
10
01
00
10
00
10
10
00
10
10
10
10
01
00
00
00
10
10
10
10
01
11
01
10
10
10
01
10
10
10
00
00
11
11
01
01
11
10
00
00
11
00
00
10
00
00
00
10
11
00
10
00
10
10
00
10
11
11
01
10
01
10
01
11
10
00
00
00
10
00
01
10
10
11
00
10
11
01
00
00
10
00
10
01
11
11
11
00
10
11
00
01
11
10
00
01
10
11
01
00
10
01
11
01
10
10
00
10
10
11
00
00
11
00
10
11
01
10
11
01
01
10
11
10
10
01
10
11
00
11
01
01
10
10
10
01
00
11
00
01
10
01
10
00
11
10
11
11
10
10
10
00
11
01
00
00
00
00
00
11
11
10
00
10
00
00
01
01
10
01
11
10
11
00
00
11
10
11
00
01
00
01
10
11
00
01
11
10
11
00
10
00
00
10
10
10
01
11
10
11
11
11
10
10
01
11
01
00
11
10
01
00
01
10
00
00
10
10
00
01
10
10
00
11
00
00
10
10
00
00
11
00
00
00
10
10
00
10
01
00
10
11
00
11
00
10
10
10
11
11
00
00
10
11
00
00
10
10
10
01
00
00
11
10
00
01
10
10
00
01
00
10
00
10
00
01
01
10
10
00
01
01
10
00
00
10
00
10
10
00
01
11
00
01
00
11
00
10
11
00
10
10
00
10
11
10
10
01
00
10
00
00
00
10
10
00
00
10
00
10
10
11
01
11
00
00
10
11
10
00
11
00
01
00
11
10
10
00
00
00
10
10
00
10
10
11
10
10
00
11
00
11
01
00
10
11
10
10
00
01
11
01
00
00
10
11
01
01
01
10
10
00
11
01
10
10
00
00
01
10
11
00
00
00
10
01
10
11
00
11
00
01
10
10
10
00
00
00
00
10
11
00
10
00
10
10
00
00
11
00
11
00
01
01
01
11
10
11
00
11
10
00
00
10
10
00
00
10
01
00
01
01
10
10
11
10
00
00
10
00
00
10
10
00
11
01
10
11
10
10
00
11
00
01
11
10
00
10
11
01
00
11
00
10
10
00
00
00
00
11
11
10
10
00
10
00
10
00
00
11
11
10
00
01
00
00
00
10
11
00
01
01
11
11
10
00
00
01
10
10
00
00
01
10
10
10
00
10
00
00
00
10
10
00
00
11
00
01
00
01
00
00
00
10
01
01
00
11
00
00
00
10
00
00
10
10
00
00
10
00
00
01
11
00
10
10
01
00
10
01
00
01
10
10
00
00
10
10
10
11
00
11
11
10
00
00
00
10
11
00
10
11
00
00
11
01
01
11
00
10
00
10
00
00
10
10
11
11
10
10
10
11
00
00
01
10
00
00
10
00
10
10
00
11
11
11
01
01
11
01
00
10
10
00
11
00
01
11
01
10
00
01
10
10
11
11
00
00
11
00
01
01
01
11
10
10
01
11
10
01
10
10
00
11
01
00
10
10
11
10
00
10
11
00
00
01
00
01
01
00
11
10
01
01
10
10
00
00
11
11
00
10
10
00
00
00
11
11
10
10
00
10
11
00
00
10
10
10
11
10
00
11
10
00
10
10
01
01
10
11
10
10
00
00
00
01
10
10
10
10
00
00
01
10
00
01
10
11
10
00
00
01
11
00
00
10
10
10
00
00
10
01
11
10
10
11
00
01
10
11
10
10
00
00
00
10
10
00
00
11
11
00
01
01
01
10
00
10
10
00
00
01
10
10
01
00
00
01
01
11
10
00
01
11
00
11
10
01
10
11
00
00
10
01
00
10
00
10
11
01
11
00
00
11
11
10
00
01
10
00
10
00
00
11
00
10
11
11
00
00
10
10
00
10
10
00
10
10
10
10
00
01
01
00
11
10
10
10
11
11
11
10
10
00
11
00
00
11
10
00
10
00
00
10
10
10
11
10
10
00
10
10
00
00
10
00
11
00
00
01
00
11
11
00
11
00
10
10
00
00
11
10
01
10
00
10
10
00
01
00
00
00
11
10
10
10
00
10
00
10
10
10
01
11
10
01
10
01
10
10
01
10
01
00
00
00
01
11
11
00
00
10
11
00
10
10
00
00
00
11
10
00
01
01
11
11
00
01
01
10
10
11
10
00
01
11
11
10
00
00
00
11
00
10
10
00
11
10
10
11
01
11
01
01
00
01
10
11
00
11
00
00
01
10
11
10
00
00
11
00
01
01
10
10
10
11
10
10
00
00
11
00
00
11
10
00
00
10
11
00
00
00
00
00
10
10
11
10
11
00
00
10
00
01
00
01
11
01
00
01
10
10
10
11
00
00
10
10
10
10
00
01
10
10
00
00
00
10
10
11
10
10
10
00
01
11
00
00
00
00
00
00
10
11
10
11
11
10
00
00
00
10
10
00
01
10
00
10
00
11
00
10
10
01
01
11
00
01
11
10
10
11
00
01
01
10
10
10
01
01
11
10
00
11
10
00
00
11
01
01
11
10
01
01
00
10
10
01
01
11
10
01
01
11
10
01
10
10
00
00
10
10
00
10
10
01
10
00
01
00
01
10
10
00
00
00
01
10
10
00
00
00
00
00
11
01
01
11
10
00
00
01
00
10
00
11
11
00
00
11
00
01
10
10
01
00
10
10
01
00
10
00
11
10
00
00
10
10
10
00
00
00
00
00
01
10
01
10
10
00
10
00
01
11
10
00
10
11
00
00
01
00
00
10
11
00
10
10
10
11
10
10
10
11
00
00
00
10
01
00
00
11
11
00
00
10
11
10
10
11
01
01
10
11
10
00
00
00
11
10
11
00
00
11
10
11
11
01
00
00
11
10
00
00
00
11
11
01
00
10
00
10
00
01
11
10
11
11
11
01
00
10
01
10
00
01
11
10
00
11
00
11
10
11
01
00
00
11
00
11
01
01
00
11
10
00
00
10
10
11
10
00
10
01
10
01
00
00
11
10
01
10
11
00
10
10
11
00
00
00
10
10
00
11
10
00
01
10
11
01
10
00
11
10
00
10
10
00
10
10
10
10
10
10
10
01
00
01
11
01
10
00
00
01
10
00
00
10
10
11
00
01
01
10
00
00
10
11
11
00
00
00
00
01
11
01
00
10
01
01
11
10
01
10
10
01
11
11
01
00
11
00
00
01
00
10
00
00
10
01
10
11
10
01
10
10
10
00
01
11
11
01
10
11
11
10
00
11
11
00
01
10
10
11
00
00
00
10
11
01
00
00
00
11
00
11
00
10
11
01
00
01
10
10
00
00
01
11
10
10
11
00
00
10
00
10
10
00
10
10
00
10
00
01
10
11
10
10
00
01
00
10
01
01
10
10
11
10
00
11
11
00
00
01
10
10
01
00
11
11
01
00
00
00
10
01
01
10
10
10
10
00
01
00
00
10
01
10
10
01
10
01
10
11
01
01
11
10
00
10
01
11
00
01
01
01
10
10
00
11
10
00
10
10
10
11
01
10
01
10
00
10
01
00
10
10
10
11
00
01
00
00
00
11
00
00
10
11
10
00
00
10
10
10
10
00
00
00
10
10
00
00
10
10
11
10
10
10
11
00
00
10
11
10
00
01
10
00
00
00
10
00
00
01
01
11
10
10
00
11
10
11
10
01
00
00
10
00
00
10
10
11
01
00
10
00
00
01
11
10
00
00
10
10
01
00
01
10
10
10
10
10
11
00
00
00
10
10
01
01
10
00
11
10
00
00
10
00
00
01
01
10
00
00
10
01
00
10
10
00
11
00
00
11
10
10
01
01
11
00
01
00
00
10
00
10
10
00
00
11
10
00
10
00
00
00
11
00
01
10
10
10
01
10
10
10
00
01
00
10
10
00
11
10
10
00
00
00
00
00
00
00
10
10
01
00
10
10
00
10
00
00
10
00
00
00
10
10
00
10
11
00
10
10
00
00
01
10
10
00
01
10
00
01
00
10
00
01
10
01
11
11
00
10
01
00
01
11
01
11
01
01
00
10
10
10
00
00
11
00
01
10
00
01
10
00
01
10
11
10
01
11
11
00
10
01
00
10
11
00
00
01
11
10
01
00
10
10
10
00
11
10
00
11
00
11
11
11
00
10
11
00
01
11
10
00
11
10
00
10
10
01
00
01
11
11
11
01
00
00
10
10
00
01
01
11
10
00
10
00
10
11
01
00
11
10
01
00
11
10
11
00
00
10
00
01
00
10
01
00
11
11
10
01
00
10
01
01
10
10
00
00
00
00
10
11
10
00
10
10
00
00
10
01
11
10
10
00
10
00
00
01
11
00
00
11
10
10
10
11
00
10
01
11
11
01
00
00
11
01
00
00
10
11
00
01
00
10
11
11
10
00
00
10
10
10
00
00
10
10
10
00
10
00
10
10
11
10
11
00
10
11
10
01
01
11
00
00
11
10
01
01
10
11
00
10
10
10
00
11
11
01
00
11
01
01
00
00
10
10
00
10
00
10
10
11
00
00
00
01
11
00
00
00
10
11
10
10
00
01
11
01
00
11
11
10
00
00
10
10
00
00
01
10
00
11
10
10
00
10
10
11
01
00
11
00
10
10
10
01
10
01
10
00
11
00
01
10
10
11
10
11
00
01
10
01
01
00
11
10
00
00
10
10
00
10
11
10
01
01
00
00
10
00
10
10
10
00
11
01
00
10
11
10
01
10
00
01
10
11
11
11
01
00
00
01
00
10
00
10
11
10
11
01
01
01
11
00
11
11
00
00
11
10
01
00
11
01
10
10
00
11
10
00
11
01
00
10
10
00
00
10
01
00
01
11
10
11
00
01
11
10
10
10
01
00
11
00
00
10
00
00
01
11
10
00
00
00
01
10
10
00
00
00
00
11
10
10
00
00
00
00
10
10
11
01
10
10
00
11
10
11
00
10
10
00
11
00
01
00
01
10
10
11
10
11
00
00
10
10
00
00
01
11
00
10
11
10
01
11
10
00
10
10
01
00
00
01
11
00
10
00
00
01
10
10
11
01
00
00
00
10
00
10
00
10
00
10
10
01
10
11
11
10
00
10
00
10
11
01
00
11
10
10
01
11
10
01
00
10
11
11
00
11
10
00
10
00
10
10
11
01
00
10
11
11
10
00
00
11
00
10
10
01
10
10
00
00
11
00
10
00
10
10
01
10
10
11
00
11
01
10
00
10
10
00
00
10
00
10
11
10
10
10
10
00
00
01
01
11
10
01
10
10
10
01
10
10
01
00
00
10
00
11
00
11
00
10
01
01
10
10
10
01
11
11
00
01
10
01
00
10
10
00
10
10
10
10
01
00
00
00
00
00
01
00
11
00
00
00
00
00
10
00
00
11
10
00
01
01
10
01
11
10
00
11
11
00
01
10
00
00
11
01
11
00
00
00
11
00
00
01
10
11
10
10
11
10
01
00
10
10
11
00
10
10
01
00
10
10
00
01
10
01
01
00
10
10
11
00
01
10
11
00
10
10
00
10
10
00
01
11
10
10
10
10
10
01
00
00
11
10
10
10
00
00
10
11
10
01
00
11
01
01
10
00
11
10
10
01
00
10
00
10
00
11
10
00
11
00
10
11
01
00
10
10
10
10
00
10
11
00
01
11
01
10
00
01
01
10
10
01
00
11
11
10
01
10
01
00
00
10
11
00
00
10
00
00
01
10
10
10
10
10
11
00
00
10
10
01
01
00
10
01
00
10
10
01
00
00
10
10
10
00
11
00
10
01
10
11
10
01
01
01
10
10
11
00
00
11
00
10
10
10
10
00
11
11
00
10
00
00
00
00
00
11
01
10
00
01
00
11
11
00
11
10
10
01
10
11
00
11
10
00
10
01
00
00
10
10
00
10
01
11
01
01
10
10
11
11
00
00
10
10
00
00
00
11
00
10
10
01
10
01
00
11
10
10
00
00
00
11
11
00
00
10
10
10
01
10
11
11
01
11
10
10
00
10
10
11
10
00
01
10
01
00
10
01
10
00
10
10
10
10
00
00
01
10
00
00
00
00
10
00
11
10
00
00
01
11
00
10
10
10
00
00
00
11
00
00
11
10
01
10
10
00
00
11
00
00
10
10
10
00
00
00
00
00
10
10
00
10
01
00
00
10
11
11
00
10
11
00
10
10
00
01
11
10
01
00
01
00
00
00
00
10
10
10
00
00
11
00
00
00
10
11
10
11
10
10
00
11
11
01
11
10
11
01
00
01
00
10
00
00
11
01
00
00
00
10
10
10
01
00
01
11
10
00
11
10
01
00
00
01
00
00
11
10
00
10
10
00
00
10
10
10
01
01
00
01
10
10
00
00
11
11
01
00
10
11
11
11
11
00
01
10
10
10
00
00
10
00
11
10
10
10
00
10
10
10
01
00
11
11
10
10
10
10
10
10
10
00
01
10
00
11
00
00
10
01
11
10
00
01
11
10
01
11
10
00
00
00
00
11
11
01
00
10
10
01
00
10
10
01
01
10
01
00
01
10
10
00
01
11
11
11
01
01
10
01
11
00
10
10
00
00
11
10
10
01
00
01
10
11
00
10
10
10
10
00
01
00
11
10
01
10
01
10
00
10
10
00
00
10
10
00
10
10
01
00
10
10
00
00
10
10
01
00
10
00
10
11
01
10
01
10
10
00
10
01
00
11
10
10
00
10
10
00
10
11
01
11
11
00
00
00
00
01
10
11
00
01
11
10
11
10
00
01
11
11
00
01
00
10
11
11
11
01
00
10
00
10
01
00
11
00
10
10
01
10
11
01
00
00
10
00
00
11
10
11
10
00
11
01
01
10
01
01
01
10
00
00
00
10
00
10
10
11
10
10
01
00
01
10
10
00
00
01
10
10
00
00
10
00
01
10
10
10
00
10
10
10
00
00
10
00
10
00
00
10
10
00
10
11
11
01
11
11
10
10
10
00
01
10
10
01
10
11
00
00
10
01
00
01
10
10
10
10
10
10
10
10
00
01
10
00
01
10
10
10
00
00
01
10
11
11
11
10
00
00
10
10
01
00
01
00
10
00
10
10
00
00
10
10
00
11
11
01
00
00
00
00
11
11
00
01
11
00
01
01
11
01
01
11
00
00
10
11
10
00
01
11
10
10
00
01
00
10
10
11
00
00
10
00
01
00
10
00
00
11
00
00
11
00
11
10
10
10
00
10
00
01
10
01
10
00
10
10
01
00
00
11
10
00
00
10
01
10
10
00
00
00
10
00
01
00
10
10
10
10
10
01
11
00
10
10
00
00
10
01
01
10
10
01
00
00
00
10
01
10
10
00
01
10
10
10
00
10
00
10
01
10
10
00
00
00
11
00
01
00
10
01
00
01
00
01
00
10
10
00
10
10
00
00
11
10
01
00
10
10
11
01
00
10
11
10
11
01
10
01
01
00
11
00
00
11
10
10
00
00
10
00
10
00
00
00
10
00
11
10
10
01
11
01
00
00
11
11
00
10
00
00
01
11
10
00
10
10
00
11
00
10
11
01
01
00
00
01
10
10
00
10
10
00
01
10
01
00
00
10
11
00
10
10
00
00
10
10
00
01
10
00
10
10
10
01
00
10
10
10
10
10
10
00
00
10
01
10
10
10
00
11
10
10
00
10
01
00
00
10
01
11
11
01
01
10
11
00
10
10
10
00
10
01
01
11
10
01
01
11
00
10
01
10
11
00
01
00
11
00
10
11
00
11
10
00
00
11
11
10
10
01
11
11
10
00
10
01
01
00
01
10
00
01
10
11
00
00
10
00
10
10
01
00
10
00
00
10
10
00
10
10
10
00
01
10
11
00
00
00
10
11
01
00
10
11
10
11
01
00
10
11
10
01
11
10
01
00
11
11
00
01
00
00
10
01
01
00
00
10
10
10
00
11
00
10
10
11
00
10
00
00
00
00
10
11
10
01
10
11
00
11
10
01
00
00
01
11
10
00
00
10
11
10
00
10
10
00
10
00
00
10
10
10
01
11
01
01
10
11
11
00
00
11
10
10
00
00
00
11
01
10
00
01
00
00
11
10
10
00
11
00
01
00
00
01
10
10
00
01
10
11
00
11
10
00
00
11
00
00
10
10
10
10
00
00
10
11
10
11
01
11
11
10
10
01
10
01
11
10
01
10
00
01
11
11
00
10
10
00
10
01
00
10
10
10
11
10
11
00
01
00
00
00
11
00
00
11
11
01
11
10
00
11
11
00
01
10
10
00
11
10
01
01
10
00
01
10
10
00
01
11
10
00
00
00
11
10
00
00
00
10
10
00
10
10
10
00
00
00
10
10
00
00
00
10
10
10
01
10
00
10
01
01
11
00
01
10
10
01
10
00
10
10
00
10
00
01
01
00
01
11
11
00
00
10
01
10
10
01
11
01
00
11
10
01
00
11
00
00
11
10
01
10
10
00
10
11
10
00
00
10
01
10
00
10
11
00
01
11
00
10
10
11
11
10
00
01
10
01
11
10
10
00
00
10
00
10
00
01
11
10
01
00
00
00
10
01
00
10
10
10
01
10
11
01
10
00
10
10
00
00
10
00
00
11
00
00
10
10
00
00
10
11
00
10
11
00
11
00
01
11
10
00
00
10
11
11
01
11
10
00
11
00
11
10
10
00
10
11
00
10
10
10
00
10
10
00
00
00
00
11
10
00
00
11
10
00
10
01
00
01
00
11
10
10
10
00
01
00
01
11
01
00
11
00
00
10
11
00
10
10
01
10
10
00
00
01
10
10
10
11
00
00
10
10
00
00
00
10
00
00
01
10
01
10
11
10
00
00
11
10
01
00
10
11
00
00
10
10
00
10
11
10
10
01
10
01
10
01
11
00
01
01
11
11
00
01
00
00
10
11
01
00
11
10
10
00
00
00
10
00
01
00
00
01
10
10
01
10
10
00
00
11
10
00
00
10
10
10
00
00
10
01
00
10
01
10
11
10
00
11
00
01
10
00
01
00
01
11
10
10
00
10
01
10
11
00
00
00
00
00
11
10
01
00
10
10
11
00
11
01
01
11
00
10
00
00
00
11
10
01
11
00
00
01
00
10
01
11
00
10
10
01
10
11
00
00
00
01
10
01
10
11
11
10
10
01
10
11
01
00
01
10
00
10
11
00
00
11
11
00
00
01
10
00
10
10
00
00
00
00
11
11
10
10
10
10
01
10
11
00
01
10
10
11
00
01
00
00
10
11
00
00
10
11
10
10
01
11
11
10
11
10
10
00
00
00
11
00
10
11
01
01
10
10
10
11
00
01
00
10
11
01
10
01
11
10
00
11
10
10
10
00
00
11
11
00
00
10
01
11
10
01
00
00
01
10
01
11
00
00
10
10
01
00
10
00
11
00
10
00
00
10
10
01
10
01
11
11
00
11
10
01
01
01
10
11
11
10
10
00
10
11
01
10
01
01
00
10
11
10
11
00
00
00
00
00
11
00
10
10
01
10
10
11
01
11
10
11
00
10
01
11
11
00
10
01
10
01
00
00
00
11
00
10
10
10
10
00
00
00
10
00
00
00
10
10
10
10
11
10
01
01
10
10
10
10
00
00
01
01
01
00
10
01
10
01
00
10
10
00
00
10
00
00
10
00
00
01
00
10
10
10
11
01
00
10
11
10
10
00
10
00
00
01
11
00
01
10
10
10
11
01
01
00
10
11
01
00
01
00
10
10
10
00
00
10
11
10
01
10
00
11
11
10
11
10
11
01
10
00
00
11
10
10
00
11
11
00
10
10
10
00
10
10
00
10
11
00
10
01
10
10
10
10
00
10
11
01
10
10
00
11
00
01
01
00
01
10
01
00
00
00
10
10
00
10
10
11
11
10
00
10
00
00
01
00
11
00
00
10
01
00
00
10
11
10
10
10
11
11
10
01
00
01
10
10
01
01
10
00
01
11
10
11
01
11
10
00
10
10
11
01
10
10
00
10
11
00
00
11
01
10
01
10
11
00
10
10
11
11
01
00
10
00
01
01
10
10
00
00
10
00
00
10
10
10
01
00
10
11
10
01
00
11
10
00
11
11
01
01
01
00
00
00
00
00
11
10
10
01
10
10
10
10
00
01
10
11
00
00
01
11
10
01
10
11
01
10
10
11
01
00
10
11
11
01
00
11
01
00
10
01
10
10
11
00
00
10
00
00
01
01
00
10
00
00
01
10
10
01
00
01
10
10
11
00
10
00
10
01
00
01
11
10
00
11
11
10
01
01
00
00
11
11
01
10
10
11
01
00
00
01
10
00
11
10
00
01
11
00
00
00
10
01
00
11
10
00
00
11
00
10
11
00
10
11
01
01
00
11
00
11
00
10
00
00
11
10
00
00
10
11
11
10
11
00
00
10
10
00
00
10
11
00
00
10
01
00
00
00
00
01
10
11
00
11
10
01
10
00
00
11
10
11
01
10
10
10
11
01
00
10
10
01
11
00
00
11
10
00
00
11
00
00
00
01
00
10
01
00
00
00
00
10
01
01
11
01
11
00
10
00
10
10
00
00
10
10
10
00
00
11
10
01
10
11
01
00
00
00
00
10
10
01
11
00
01
00
00
10
11
10
00
00
10
00
00
10
01
10
10
11
10
10
00
00
01
00
11
10
10
01
00
00
10
01
00
10
10
11
01
00
00
00
00
00
00
10
01
10
10
00
00
10
10
10
00
01
10
11
00
11
00
10
11
11
11
00
10
10
10
00
10
00
00
11
00
10
11
10
01
00
01
10
01
01
11
11
00
01
00
10
11
00
11
00
00
10
10
00
00
00
00
11
00
11
00
00
00
10
00
10
10
10
00
00
10
10
00
00
10
01
11
10
00
10
01
01
11
11
00
01
00
10
11
11
00
10
10
01
01
11
00
00
10
10
10
01
10
11
00
10
00
10
00
10
11
00
00
10
00
10
00
00
00
00
00
10
00
01
11
10
00
00
00
00
01
11
10
00
01
10
11
00
11
01
00
00
10
10
01
00
10
10
01
00
00
10
10
00
01
01
10
01
00
00
10
00
00
10
00
10
01
01
11
01
00
01
01
11
01
11
10
00
01
11
00
01
00
00
00
11
11
11
01
00
11
01
01
11
00
00
10
10
00
10
10
00
10
10
00
01
10
00
00
11
01
00
00
10
00
10
10
00
01
10
00
00
10
00
00
01
10
01
01
00
10
01
11
10
10
00
00
00
11
00
10
11
00
01
10
00
11
10
01
00
00
10
00
01
10
10
10
00
00
11
00
10
01
11
11
10
00
00
00
11
00
11
10
01
01
10
10
00
10
11
00
00
00
10
11
10
10
10
10
01
10
10
00
01
00
10
10
01
10
11
01
11
10
10
00
00
11
10
00
10
01
00
01
00
00
00
10
01
00
11
10
11
00
00
10
10
00
00
00
10
00
10
00
11
00
10
01
00
11
10
00
10
10
11
00
10
10
11
00
11
10
00
10
10
01
00
10
10
10
00
11
01
00
10
10
00
10
11
00
01
10
10
01
10
10
01
11
10
10
10
01
00
10
10
11
11
10
00
00
00
01
11
10
00
10
00
00
00
10
10
01
10
00
00
00
00
00
00
10
10
11
01
01
01
11
10
00
00
00
11
10
01
00
01
11
10
00
01
10
11
10
01
00
10
01
10
10
01
10
10
10
10
10
00
00
01
01
10
10
00
10
10
11
01
10
10
11
10
11
11
00
10
00
00
10
00
01
10
11
00
01
01
01
01
11
10
00
00
10
01
01
10
00
00
10
10
10
00
10
00
00
01
00
10
00
11
10
00
11
10
10
00
10
00
00
10
11
10
01
10
00
00
10
00
01
10
00
00
11
00
01
01
00
11
10
00
01
00
11
00
11
10
10
00
00
00
10
10
00
10
00
00
00
11
01
10
11
10
00
10
10
01
10
10
00
01
00
11
10
00
11
00
10
11
00
01
11
11
11
00
00
10
00
01
01
10
11
00
01
11
11
01
00
10
11
10
01
00
10
10
00
00
10
01
00
00
11
10
10
00
00
00
11
11
00
01
01
01
00
00
10
01
11
11
00
11
10
10
00
00
10
10
01
01
01
10
11
10
01
11
00
10
10
00
10
00
01
10
11
10
00
00
11
10
01
00
10
00
01
10
10
10
11
00
00
01
10
00
11
10
10
01
10
11
11
10
11
11
00
01
01
11
10
01
00
00
10
11
00
00
00
10
11
11
10
00
01
10
01
10
10
11
10
10
01
10
10
01
00
00
00
00
10
10
01
10
11
00
11
10
10
10
01
01
10
00
11
11
01
11
00
00
01
10
11
00
00
10
00
10
11
00
00
11
00
11
10
11
00
10
01
01
10
11
11
11
10
00
01
00
10
00
10
10
01
10
11
11
11
10
00
00
10
10
01
01
11
00
10
10
00
10
00
11
10
00
00
00
10
11
00
01
01
11
10
00
10
00
10
10
10
00
10
10
10
01
01
11
00
00
01
10
01
11
10
00
00
10
10
01
00
11
00
01
00
10
00
10
00
01
11
10
10
00
10
10
01
00
01
10
00
10
01
00
01
11
10
01
11
01
11
10
00
11
10
01
01
10
11
00
01
00
10
11
00
00
11
01
10
01
00
11
10
01
11
10
00
10
10
01
10
11
00
00
11
00
10
01
00
00
11
10
00
10
10
10
00
10
10
01
01
01
10
00
01
00
10
11
00
00
00
00
11
10
10
00
10
10
00
10
10
10
11
10
00
00
10
01
00
10
00
00
00
10
11
10
10
10
10
00
10
10
10
10
00
00
00
10
11
00
01
00
11
00
10
10
10
11
00
11
10
11
10
10
00
10
00
00
10
10
10
00
00
10
01
01
01
00
01
00
10
10
10
00
00
00
11
00
00
10
00
00
11
00
01
00
10
00
00
00
00
10
10
01
10
01
00
01
10
11
00
00
00
10
10
11
11
00
00
10
10
01
01
10
00
10
00
11
10
11
00
01
10
10
10
01
00
00
10
11
11
01
00
00
00
00
01
01
11
10
01
00
01
10
00
10
11
00
01
10
10
11
01
10
00
00
10
10
11
01
00
01
11
11
00
00
00
10
11
11
11
01
10
10
01
00
10
00
01
10
10
00
11
00
01
00
00
11
10
00
00
01
11
01
11
11
10
00
00
10
01
00
00
10
11
01
00
10
10
00
10
00
01
10
11
00
00
00
10
10
00
00
10
10
01
01
10
00
10
10
10
00
11
01
01
10
10
10
00
10
00
01
11
00
10
00
10
00
10
00
00
00
11
11
00
00
00
01
00
00
00
00
11
11
11
10
10
01
00
10
01
00
10
10
00
10
10
00
01
01
11
10
10
01
10
10
10
11
00
11
00
00
10
10
11
10
10
01
00
10
00
00
10
10
10
00
00
10
10
00
00
11
10
10
00
00
00
00
10
10
10
00
01
11
11
10
10
10
00
00
10
10
01
00
11
00
00
00
11
00
00
10
11
10
11
10
00
11
10
10
01
00
10
11
00
10
10
11
00
10
10
10
00
10
01
10
10
00
10
11
11
01
10
10
00
10
10
10
10
00
00
10
01
01
00
01
11
10
11
11
00
01
00
00
11
00
00
10
10
11
00
11
10
00
01
01
10
10
10
00
11
00
11
10
01
01
00
10
10
11
00
11
10
00
00
11
00
00
10
10
10
10
10
11
10
10
01
00
10
11
00
00
00
11
10
10
00
10
11
00
00
00
00
10
01
00
10
00
00
10
01
00
00
10
10
01
01
01
10
10
10
00
11
10
00
01
10
01
00
00
11
10
00
11
10
00
01
10
10
10
01
11
01
00
10
10
10
10
00
00
10
01
00
10
11
01
01
11
00
01
00
00
11
00
00
11
10
01
10
11
10
11
10
10
10
01
00
10
11
00
00
10
00
01
11
00
00
10
10
10
01
11
11
00
10
00
00
10
00
00
01
00
10
10
01
11
10
10
10
00
10
11
00
10
01
10
10
00
01
10
00
00
00
10
10
00
00
10
11
10
10
00
00
10
11
10
01
01
10
00
00
00
00
10
11
11
01
00
01
10
11
00
01
10
10
00
10
10
00
01
10
00
11
10
11
10
00
01
01
11
10
01
00
01
10
11
01
00
11
10
10
10
00
10
10
10
01
10
00
10
10
11
01
01
10
11
10
10
00
01
10
11
00
00
11
00
11
11
11
00
10
11
10
11
01
00
10
11
00
00
10
10
00
10
10
00
00
00
00
11
01
00
01
00
10
00
10
11
10
01
00
10
11
00
00
01
00
10
11
00
00
00
10
10
01
10
11
00
00
00
10
00
10
00
11
10
00
10
11
10
01
10
00
01
00
11
11
00
00
01
00
10
11
00
01
01
01
11
10
10
11
10
00
01
11
11
10
01
00
10
10
01
11
00
01
11
01
01
11
00
11
00
00
10
00
00
10
00
10
10
00
00
10
00
10
00
01
00
00
00
11
10
00
00
00
10
10
10
01
00
00
01
00
00
00
10
10
01
00
00
01
10
11
01
10
11
00
10
01
00
10
01
00
00
00
10
10
00
10
00
10
10
10
00
00
00
11
01
11
11
10
01
11
10
10
00
00
10
11
01
00
10
11
11
01
10
10
10
10
11
00
00
10
10
10
10
00
00
11
11
00
11
01
01
11
10
11
01
11
10
00
00
11
11
00
00
10
00
00
10
00
10
10
00
11
10
11
10
00
01
01
10
11
00
01
11
11
00
00
10
01
11
11
01
10
00
10
11
00
00
10
10
00
00
01
11
00
11
01
00
10
10
00
00
10
10
10
01
00
10
00
00
00
10
10
10
00
00
00
11
00
10
10
10
11
00
11
01
10
10
11
11
10
01
00
11
00
00
10
10
00
11
10
00
10
10
11
10
01
11
10
00
10
11
00
01
11
01
00
00
00
00
10
11
00
00
10
00
00
11
00
11
10
11
10
01
10
10
01
00
00
10
11
10
01
01
10
00
00
11
10
00
00
00
00
00
10
10
00
10
01
10
00
11
01
00
11
00
00
10
10
01
10
10
00
10
01
10
10
00
10
10
00
00
00
11
11
10
10
00
00
00
10
00
01
00
10
10
11
10
10
00
10
10
10
10
01
11
10
01
01
10
10
10
10
00
00
00
10
01
01
10
01
00
10
10
00
00
00
00
10
11
10
01
11
11
10
11
00
10
10
00
00
11
11
00
00
01
10
01
00
11
10
01
00
10
00
00
00
11
01
10
11
10
10
00
11
00
11
10
01
11
01
10
00
11
10
00
01
01
11
10
11
00
01
10
10
00
01
11
11
00
00
10
00
11
01
01
10
10
01
10
11
10
10
00
01
10
10
10
10
10
01
11
00
00
01
11
10
10
00
01
11
11
00
10
00
10
00
00
10
10
11
00
00
10
10
10
00
10
00
11
10
11
11
01
10
11
01
00
10
10
00
00
11
10
11
01
00
11
01
00
11
00
00
00
00
10
10
10
01
10
10
11
10
10
01
00
00
10
00
01
00
11
00
00
00
01
01
01
10
10
00
01
11
00
10
00
00
01
00
01
10
00
00
10
10
10
00
00
10
00
11
10
10
10
00
10
10
10
00
00
00
10
10
10
00
01
10
11
10
00
11
10
10
00
00
10
00
10
00
11
01
10
10
00
10
11
00
00
01
01
00
01
01
00
10
10
10
10
11
01
00
01
01
01
10
10
01
00
00
01
10
10
01
00
10
01
11
00
00
00
10
11
11
01
10
00
01
11
00
10
10
00
00
11
00
00
01
10
11
10
11
10
11
01
01
10
11
00
01
10
10
00
00
11
10
01
01
01
01
00
01
10
10
01
10
01
00
11
10
01
01
01
00
10
00
00
10
11
01
01
10
11
00
10
10
00
01
10
11
01
11
10
11
10
00
00
11
11
01
10
10
01
10
11
00
01
11
00
10
10
10
00
00
11
10
00
00
10
11
10
00
11
10
10
01
01
10
00
10
00
00
11
10
11
10
00
00
10
00
11
00
00
00
11
11
01
01
00
00
01
11
10
10
00
00
11
00
00
10
11
11
01
10
10
10
00
11
11
00
10
10
10
00
11
00
10
10
11
00
00
10
00
10
00
00
10
11
10
01
10
11
10
01
11
11
10
00
10
00
10
10
01
01
01
11
00
10
01
10
11
01
00
10
00
01
10
10
01
00
00
11
11
01
10
10
10
01
10
10
00
01
11
00
11
10
00
10
01
00
01
10
10
01
00
00
10
10
00
10
10
00
00
10
10
10
00
10
10
10
11
10
01
10
10
00
00
00
10
10
00
10
01
10
10
10
10
10
00
00
10
10
01
10
10
10
01
10
00
11
00
00
10
10
01
11
10
11
10
01
11
00
00
00
10
10
00
01
01
11
00
00
10
10
10
01
10
11
10
00
11
10
01
00
00
10
10
00
01
10
10
00
00
01
01
00
10
01
10
10
10
01
01
00
10
10
01
00
11
10
10
00
00
00
10
11
01
10
10
00
01
10
11
11
00
11
10
11
01
01
00
00
11
10
10
00
10
10
01
00
00
01
01
00
00
00
00
10
10
10
10
01
10
10
00
10
11
01
01
00
10
10
00
10
11
10
00
10
10
10
00
10
10
00
10
00
00
00
00
10
00
10
00
11
00
10
01
00
10
01
00
11
00
00
00
00
10
10
11
00
00
00
00
10
01
01
11
01
00
10
10
01
01
10
01
11
11
01
01
00
00
00
10
10
10
01
00
11
00
10
11
10
00
10
01
01
00
10
10
01
00
10
11
10
00
00
10
11
00
11
01
00
01
00
11
10
11
00
10
00
01
10
00
10
10
11
01
00
01
01
10
11
10
10
11
11
01
00
11
01
11
10
00
11
11
01
10
10
01
00
00
00
11
10
10
00
10
01
11
11
01
10
01
01
00
10
00
00
00
00
10
11
10
01
11
11
10
00
00
01
11
11
10
01
01
00
10
00
00
00
10
10
00
10
11
10
10
00
11
00
00
00
10
11
01
00
01
00
11
00
01
10
11
01
01
00
10
10
00
00
11
00
00
00
11
10
10
10
00
10
10
10
00
00
10
00
11
01
00
01
10
11
11
10
01
10
11
01
11
01
00
00
10
10
01
11
10
00
00
00
10
10
11
01
00
10
10
10
10
10
00
01
10
11
10
00
00
11
11
00
11
11
00
00
00
10
10
11
01
10
10
00
10
00
10
01
01
01
00
11
01
10
01
10
10
00
00
00
00
00
10
10
10
10
01
10
01
00
00
10
10
00
01
10
10
11
00
10
00
10
11
10
01
11
10
10
10
00
01
00
11
01
10
01
01
00
10
10
10
00
01
10
00
01
01
00
01
01
10
00
00
10
00
11
00
00
01
00
10
10
10
00
00
10
00
10
10
11
00
01
10
00
01
11
10
00
00
11
01
10
10
01
00
01
10
11
00
01
10
10
10
00
00
00
01
10
01
01
00
11
00
10
00
00
10
00
00
10
11
01
00
01
01
11
00
01
10
11
01
00
10
11
00
00
00
10
01
11
00
00
10
10
10
00
10
00
00
00
01
11
10
00
00
10
00
10
11
00
10
11
11
00
11
00
00
00
00
00
00
00
10
11
00
00
00
10
11
10
01
00
00
10
10
00
00
11
10
01
10
10
01
10
00
10
11
00
10
10
01
11
00
11
10
11
10
11
00
00
00
11
00
00
10
11
00
10
10
11
01
10
11
11
10
10
10
00
00
10
10
00
00
00
00
10
01
00
00
11
11
11
10
00
00
10
11
10
11
10
00
00
10
00
00
11
10
10
01
10
00
10
00
10
00
11
10
01
10
11
10
01
00
01
00
11
10
01
10
10
11
00
00
10
01
00
01
00
11
10
01
00
10
10
01
11
10
00
00
00
01
00
10
10
10
11
00
00
00
11
11
11
00
11
00
00
01
00
00
10
10
00
11
00
10
00
00
00
01
10
01
01
10
10
10
11
00
00
10
00
01
11
11
10
00
11
10
10
00
00
10
00
00
10
11
00
00
01
10
00
11
01
10
01
10
01
11
01
11
01
11
11
00
00
00
10
10
10
10
01
01
10
10
00
00
01
10
10
00
00
00
10
10
00
11
00
10
10
00
10
00
00
10
10
11
10
01
00
10
11
00
10
10
10
01
10
10
00
00
00
00
00
00
11
10
00
01
01
10
11
01
10
01
11
11
01
11
11
11
11
00
00
00
10
00
00
00
10
10
00
00
10
10
00
00
00
10
10
10
00
00
11
01
01
10
11
00
00
00
00
10
11
00
00
10
10
10
00
10
01
00
10
01
10
00
10
10
00
01
01
01
01
00
10
01
10
00
00
10
11
01
10
00
11
11
10
01
01
10
01
00
01
00
00
10
01
01
00
11
11
00
00
10
01
00
01
10
11
00
00
10
10
01
10
00
00
00
10
10
11
01
01
00
00
00
00
10
10
11
00
11
11
00
10
10
10
00
01
10
01
10
11
01
10
11
00
01
11
10
11
01
10
00
00
11
01
00
11
10
01
10
10
10
10
00
11
10
01
01
01
00
10
10
00
10
00
11
11
10
01
10
10
00
11
11
10
01
10
11
10
01
01
00
00
10
01
00
01
10
11
10
01
10
00
01
10
00
10
11
10
10
10
10
11
10
11
01
00
10
00
11
00
00
11
01
00
00
11
00
10
10
00
11
00
01
00
11
00
00
10
00
01
10
10
01
00
10
11
10
01
10
10
10
10
00
00
00
10
10
00
01
10
00
01
11
00
10
11
00
01
00
10
11
10
00
00
00
10
01
00
10
11
00
10
00
00
10
10
00
00
11
01
00
00
10
00
00
10
10
00
00
10
11
00
00
10
10
11
00
10
00
00
01
10
00
10
00
01
01
00
11
00
01
10
10
00
11
11
00
01
11
01
00
11
00
11
11
10
10
01
10
01
00
00
10
11
01
10
11
00
01
10
10
00
01
10
01
10
10
00
01
00
00
10
01
00
10
10
10
00
00
00
10
10
01
10
11
11
00
11
10
01
01
10
10
00
01
10
10
00
10
01
10
00
00
01
10
10
00
10
10
00
10
00
00
11
10
00
00
00
10
10
10
00
10
10
01
10
01
10
10
01
10
10
00
00
10
10
01
00
10
10
01
01
10
00
00
10
11
10
10
00
10
10
00
00
01
00
00
00
10
10
10
11
01
01
10
10
00
10
01
11
00
00
10
00
11
00
11
11
00
00
00
11
10
00
01
00
10
10
10
10
00
00
11
00
00
10
11
11
01
11
01
10
00
10
10
11
00
00
11
10
10
10
10
01
00
00
10
10
00
10
00
00
01
01
10
01
11
00
10
00
11
10
11
10
01
01
11
11
11
00
00
00
00
00
10
10
10
01
00
10
11
10
00
00
01
10
10
10
10
01
00
10
10
00
11
11
00
00
01
01
01
10
00
00
10
10
00
01
11
01
10
11
00
00
01
00
10
10
01
00
10
11
00
00
00
11
10
10
10
01
10
00
10
10
00
00
10
00
00
11
00
10
11
11
00
10
00
00
10
00
10
01
00
10
10
10
00
00
11
11
00
10
01
00
10
01
00
10
11
00
00
00
00
00
00
01
10
10
11
10
00
00
11
10
00
00
00
10
00
11
00
00
11
10
11
01
01
00
10
10
00
00
10
10
00
10
01
11
00
01
01
01
11
01
00
10
10
00
10
10
00
00
00
01
11
00
00
11
00
00
00
10
01
10
10
00
10
01
01
01
00
10
10
00
10
11
10
11
00
00
10
00
10
10
00
00
10
10
10
10
01
00
11
01
01
01
01
00
11
00
10
01
10
10
00
00
00
01
01
01
01
11
00
10
10
00
00
11
10
00
11
11
10
10
00
10
01
10
01
00
11
10
01
01
10
11
00
10
10
01
01
01
01
11
01
10
00
00
00
11
10
01
01
11
10
00
00
10
10
10
00
00
10
00
00
00
11
10
11
10
10
10
11
01
10
11
00
10
01
11
11
10
01
01
10
10
00
01
11
01
01
10
11
00
11
10
01
01
11
10
01
00
10
11
00
11
10
10
00
10
11
00
10
01
00
10
10
00
00
11
00
11
00
00
11
00
11
10
10
10
10
10
11
10
01
10
10
10
01
10
10
10
00
01
10
01
01
00
01
10
10
10
00
10
10
00
01
00
10
00
10
10
10
01
01
10
10
10
00
00
11
00
10
11
10
10
00
00
00
11
10
11
00
10
01
11
11
01
10
00
00
11
11
11
01
00
10
11
10
00
00
11
10
10
11
11
10
01
00
00
00
00
00
11
00
01
00
10
10
10
10
10
11
00
11
01
11
10
10
00
00
10
10
10
00
00
11
10
00
00
00
00
10
00
00
11
00
10
00
01
00
10
10
10
10
01
00
10
00
10
00
11
10
00
10
10
10
11
00
00
10
10
10
00
00
01
00
01
10
11
01
10
11
00
01
11
11
01
10
00
10
10
11
00
00
01
11
10
10
01
00
10
00
00
01
01
11
11
00
10
10
10
11
01
00
10
11
00
00
01
01
11
11
11
00
00
10
01
10
10
10
00
10
00
00
10
00
01
00
10
11
10
01
10
01
00
11
00
00
01
10
10
00
01
10
00
00
10
10
00
11
01
10
10
00
11
00
01
10
00
10
00
01
10
10
00
01
00
01
10
10
10
00
00
11
11
01
00
10
11
00
10
10
00
10
10
10
10
01
00
10
00
01
11
01
10
10
11
00
01
01
00
00
10
10
10
10
11
00
01
00
11
10
10
01
10
10
01
10
10
11
10
00
11
10
00
01
10
11
00
00
10
11
01
11
00
01
10
00
01
10
00
00
10
10
10
01
00
01
00
00
10
00
00
10
00
10
01
00
00
01
11
11
10
11
10
11
01
10
01
00
11
11
11
00
01
11
10
11
10
00
01
10
11
11
00
00
00
10
10
10
01
10
11
10
10
11
00
10
00
10
10
11
00
00
00
10
01
00
11
10
00
10
10
01
00
10
10
10
01
10
10
11
10
00
11
00
01
10
00
11
11
10
00
01
10
10
10
00
00
01
11
00
00
01
10
10
10
10
00
11
00
01
10
10
10
00
10
10
00
00
10
11
00
10
10
00
10
10
00
01
10
00
00
10
00
00
11
10
00
10
10
11
10
00
10
11
00
11
00
00
11
00
01
01
00
11
00
00
01
11
10
00
00
11
11
11
11
01
10
00
00
10
11
01
01
11
10
10
11
00
01
10
01
00
11
10
00
10
11
00
01
10
10
00
00
00
10
10
00
11
00
11
00
00
01
10
10
01
10
11
10
10
00
11
10
00
11
01
10
10
10
10
00
01
11
10
00
10
10
00
00
00
10
00
00
00
11
01
10
00
10
10
11
01
00
10
10
01
01
11
01
11
00
10
11
10
00
01
10
11
00
10
00
01
01
01
00
10
00
01
11
00
10
10
10
01
01
01
00
11
10
00
10
00
00
10
10
11
10
10
01
10
01
01
00
10
10
01
10
00
00
10
11
01
11
10
10
01
00
00
00
00
11
10
00
10
00
00
00
10
00
10
11
10
01
00
01
10
11
10
11
00
00
00
11
11
10
00
01
00
00
10
10
10
00
00
01
10
00
10
00
00
11
00
11
10
11
11
10
00
10
01
01
11
11
01
00
11
01
00
00
11
11
00
01
10
10
01
00
10
10
00
01
10
10
00
10
10
10
10
01
01
10
10
01
01
00
10
10
00
00
00
10
00
00
10
00
10
01
11
00
10
00
00
01
11
00
00
11
11
00
00
00
00
10
00
10
11
00
01
00
01
01
01
01
10
11
01
11
00
10
10
01
00
00
10
10
10
00
00
00
11
00
10
11
11
10
00
10
01
10
11
10
10
10
00
00
11
00
01
10
10
11
00
00
11
10
01
00
10
00
00
10
00
01
10
00
11
00
11
00
11
11
00
01
00
01
10
10
00
01
10
11
10
00
01
11
01
10
01
00
00
11
10
11
00
01
00
00
11
00
10
11
10
00
10
10
00
01
10
01
10
11
00
10
11
10
01
00
10
00
00
10
10
11
01
01
10
11
01
11
00
10
10
01
00
00
00
11
10
01
00
01
10
00
00
10
01
00
10
10
00
01
10
00
11
01
00
10
10
01
10
10
01
00
00
11
00
01
11
10
11
01
11
10
10
10
00
01
00
01
00
11
11
11
00
11
10
00
10
10
00
00
10
10
00
00
11
00
10
00
00
00
11
01
11
00
10
10
00
10
11
00
00
10
00
10
00
01
11
01
01
10
10
00
10
00
00
10
00
00
10
10
10
11
00
00
00
10
00
00
00
11
10
01
00
11
11
01
01
01
10
10
00
10
10
00
01
11
10
00
10
11
10
11
00
00
10
01
00
00
10
10
10
10
01
01
00
00
01
11
01
11
11
10
00
00
11
00
00
10
10
00
00
11
00
01
00
00
11
00
01
01
11
10
10
01
00
10
11
01
00
11
10
00
00
10
10
00
10
10
00
11
00
01
00
11
00
10
01
00
00
10
00
11
11
11
10
11
00
01
00
01
01
11
10
00
11
10
11
00
00
00
10
10
11
11
00
00
10
01
01
00
10
00
10
10
11
00
00
10
10
10
10
10
10
01
01
01
11
00
10
10
01
00
11
10
10
10
00
00
10
00
00
10
11
01
00
00
00
10
10
11
10
00
01
10
10
11
00
01
10
10
00
10
01
01
10
10
10
10
10
00
10
00
01
11
01
11
00
00
00
10
00
01
10
00
10
11
00
00
10
11
10
00
00
01
10
00
00
10
10
10
10
00
11
10
00
00
00
00
10
10
11
11
00
00
01
00
00
00
11
10
10
00
11
00
01
10
00
01
10
00
11
11
00
00
10
00
00
10
10
01
00
01
10
11
00
01
01
00
00
10
10
00
00
10
01
00
10
01
10
11
11
10
01
10
10
00
00
01
10
11
00
10
01
11
11
00
01
11
00
11
00
01
10
01
10
01
10
10
00
10
10
10
10
10
00
01
00
11
10
00
01
10
00
01
00
11
11
10
11
10
01
00
01
10
00
10
11
01
01
01
00
01
10
00
00
10
11
10
00
01
10
00
01
10
11
00
00
00
00
01
10
00
01
10
11
00
01
01
10
10
01
11
10
00
00
10
10
00
00
11
01
01
00
11
10
00
00
10
10
00
00
10
10
00
10
11
00
00
10
11
10
11
00
00
10
10
10
00
00
11
10
11
00
11
10
10
10
00
10
10
00
00
10
10
01
10
00
10
00
00
10
00
11
10
00
01
00
01
01
10
10
11
00
11
01
01
11
10
10
10
00
11
10
00
10
11
10
11
10
00
11
10
11
00
11
01
01
10
01
10
10
10
00
01
10
10
10
01
00
11
10
10
01
10
00
10
01
01
11
00
00
00
10
10
10
10
00
11
10
10
10
01
00
10
11
00
11
10
00
01
00
00
10
10
00
10
11
00
01
00
10
11
00
00
00
00
11
10
00
11
00
01
10
00
10
10
00
00
00
10
00
10
00
10
00
01
10
01
10
00
11
00
01
01
00
10
00
10
10
10
00
00
11
10
01
01
00
01
11
10
10
11
01
00
10
00
10
00
01
11
01
01
10
00
10
01
01
11
10
01
10
00
10
00
00
10
10
00
11
00
11
11
11
00
00
11
10
10
00
11
11
00
11
01
00
01
00
10
11
01
01
10
10
00
00
10
00
11
10
00
00
10
10
00
00
00
11
10
10
01
10
11
10
00
11
10
10
10
10
01
00
11
10
00
10
10
01
00
00
10
10
10
10
10
10
01
10
00
01
01
00
10
10
11
10
10
01
00
11
10
10
00
10
10
00
00
10
10
00
10
11
01
00
01
01
10
00
01
10
10
10
01
00
00
10
10
10
01
11
10
01
00
11
10
01
00
10
00
11
10
11
01
01
00
01
11
11
00
00
00
11
11
00
10
10
00
01
10
11
01
11
01
11
10
10
00
00
01
10
10
01
01
10
01
00
00
10
11
11
10
11
01
10
01
11
00
10
11
00
00
11
10
01
11
10
00
10
00
01
10
10
01
00
01
00
10
00
00
10
10
10
00
10
10
10
00
00
10
00
10
10
11
00
00
00
00
00
11
10
10
01
00
00
01
10
10
11
11
11
00
01
10
10
00
01
01
10
00
00
01
10
00
01
10
00
00
00
01
00
10
10
11
10
01
10
00
10
00
00
01
00
10
10
10
00
10
10
10
11
00
00
01
10
01
00
11
10
10
00
01
10
10
00
01
00
10
01
10
10
01
11
01
00
10
10
10
11
01
00
11
00
00
10
00
00
11
11
01
01
00
00
00
00
00
10
10
11
00
01
00
00
10
01
10
11
00
00
00
10
00
11
11
10
00
00
10
00
11
01
01
00
10
11
00
01
10
10
11
11
10
10
00
00
01
00
00
11
10
01
11
00
00
00
00
10
01
00
10
00
00
00
10
00
10
10
10
11
00
00
00
11
01
00
00
11
01
11
10
00
00
10
10
01
01
11
00
00
01
10
01
00
00
10
11
10
11
10
10
11
01
00
10
10
00
10
01
11
10
00
00
01
00
10
10
10
10
00
00
01
01
10
00
11
00
10
00
00
10
10
00
10
00
00
11
00
01
00
10
10
01
01
10
00
01
00
10
10
00
11
01
01
10
11
10
00
01
11
10
11
11
00
01
10
11
00
01
00
00
10
10
10
11
00
01
10
00
00
01
10
10
10
11
00
11
10
10
10
00
10
10
10
00
10
00
11
00
01
10
11
10
01
10
10
01
00
10
01
00
10
01
11
10
00
01
00
11
00
00
01
10
01
10
00
00
10
00
00
10
10
00
01
10
11
00
01
10
10
01
10
00
00
11
01
10
11
01
00
00
01
10
11
01
01
01
00
00
10
10
00
10
11
00
01
10
01
00
10
10
01
11
10
00
00
00
10
11
10
11
10
10
00
00
00
00
11
00
10
01
00
01
10
11
10
11
00
01
01
10
00
00
10
11
01
01
11
01
10
11
01
11
01
01
10
10
00
00
10
10
01
00
11
10
11
11
11
11
11
00
00
01
00
11
10
00
11
10
00
01
10
10
11
11
00
00
10
11
10
01
01
10
00
11
01
11
01
11
10
10
10
00
01
00
00
11
00
11
11
01
10
01
00
00
00
10
10
01
00
01
00
11
01
00
10
10
10
00
11
10
11
00
00
00
10
10
00
10
10
00
00
01
00
10
00
00
00
00
11
10
11
01
00
10
10
11
00
11
10
10
00
00
10
11
01
01
01
01
10
11
00
00
10
11
10
00
00
11
10
00
11
01
10
01
00
00
10
10
10
10
00
01
00
10
00
00
10
00
00
11
11
00
11
01
10
00
00
01
10
10
00
11
11
10
00
00
10
10
01
11
11
10
10
00
00
00
10
00
00
10
10
00
10
01
10
01
10
10
00
11
01
00
11
11
10
01
01
00
10
10
11
10
00
10
00
01
00
11
11
10
01
01
11
10
00
01
10
10
00
10
01
11
11
00
00
00
01
10
10
00
00
10
01
01
00
00
10
11
01
10
10
00
00
00
10
11
10
01
01
01
11
10
11
11
00
00
00
10
10
00
10
00
00
10
11
11
01
11
11
11
10
00
00
10
11
01
11
10
01
01
10
01
00
10
10
00
00
00
01
10
10
11
10
00
11
10
00
00
00
11
11
00
00
00
11
00
01
10
01
01
01
10
01
10
10
11
01
00
00
11
10
00
00
10
00
11
10
01
10
10
00
00
00
10
01
01
00
11
11
01
11
10
00
00
00
10
00
01
10
10
00
00
10
01
11
01
11
01
10
10
01
10
00
10
10
00
10
11
00
00
00
01
10
00
10
01
01
10
00
10
11
01
00
10
10
11
10
00
01
10
11
00
01
00
00
11
10
10
00
11
00
10
00
11
10
00
10
01
00
00
00
10
01
11
00
00
11
10
11
10
10
10
10
01
11
10
01
00
00
10
00
00
10
00
01
10
10
00
11
01
00
01
11
01
10
00
00
11
10
00
00
10
11
11
10
11
10
00
01
00
10
10
10
00
10
11
01
11
00
00
10
00
00
10
10
00
00
10
01
11
11
01
10
10
01
00
01
10
10
11
10
10
00
11
11
00
10
01
10
01
10
00
00
00
11
10
10
01
00
01
00
11
00
00
10
10
10
00
00
10
01
00
01
00
11
11
10
01
00
10
00
00
10
00
01
00
00
10
10
00
10
10
00
10
10
00
01
00
10
10
00
01
10
00
10
01
01
01
10
10
00
10
10
00
10
11
00
10
11
00
10
00
10
10
10
10
00
01
01
00
11
10
10
10
10
01
10
10
00
00
10
00
00
01
00
10
00
00
10
11
00
00
00
00
00
01
10
00
10
11
00
10
10
01
11
00
10
11
00
10
10
10
11
00
00
10
01
00
11
10
01
10
00
00
00
10
11
00
10
10
10
11
01
10
10
00
11
10
11
00
00
10
10
10
10
01
01
00
01
00
11
10
00
10
10
01
00
00
10
11
00
11
10
10
00
11
01
11
01
01
01
00
10
00
10
10
00
00
11
11
11
00
00
01
00
10
01
00
10
11
10
11
10
01
10
10
00
01
11
10
01
00
11
10
00
01
00
10
10
00
01
10
10
11
10
11
10
00
01
01
11
01
00
10
11
00
00
10
10
00
11
01
01
00
10
00
10
01
10
11
10
00
01
10
10
00
01
11
11
00
00
00
10
00
00
00
11
11
11
01
11
00
11
11
11
11
01
00
01
10
10
01
00
11
11
00
10
01
10
11
11
00
00
10
11
10
01
10
10
00
11
11
10
11
01
01
10
11
00
00
00
10
00
00
00
10
10
01
10
00
11
10
11
00
10
10
01
00
10
10
01
10
10
01
00
10
10
10
10
11
10
10
00
10
00
10
11
00
00
00
11
00
11
00
01
10
10
00
10
01
10
10
00
11
10
10
00
11
00
10
10
11
00
00
10
10
10
00
11
00
01
11
10
10
00
10
01
01
10
01
01
10
00
10
00
01
11
10
00
00
10
10
00
00
01
00
11
10
00
00
10
11
01
11
10
00
00
11
10
01
01
10
10
00
11
01
00
10
01
00
10
01
11
11
11
10
01
00
00
00
10
10
00
01
10
10
10
00
00
00
00
01
00
00
10
01
11
10
00
10
00
11
11
00
10
11
00
00
10
10
00
01
11
00
00
10
10
10
00
11
10
11
01
11
10
00
00
01
11
11
11
10
11
01
10
10
01
10
10
00
00
00
10
10
00
10
11
10
00
11
01
10
11
00
01
01
10
10
11
10
00
10
11
00
01
10
00
01
10
00
00
00
00
01
10
10
00
10
10
10
11
00
01
00
10
10
01
11
10
10
10
10
11
11
01
01
00
00
01
10
10
10
00
00
11
10
11
10
01
10
00
00
10
10
01
10
10
10
00
10
10
10
10
01
00
11
10
10
10
11
00
01
00
10
00
00
11
11
10
00
00
10
10
01
00
00
11
11
00
11
10
00
00
11
00
00
00
10
10
10
10
00
01
11
11
11
11
10
00
01
11
00
00
11
10
00
00
10
00
10
00
11
10
01
10
10
00
10
01
00
01
10
00
00
10
10
10
10
10
00
00
00
10
00
00
00
00
10
10
10
01
00
01
00
01
00
00
01
00
00
10
11
00
11
10
00
01
00
00
00
10
10
01
01
10
00
10
10
01
10
10
11
01
00
11
10
10
11
10
00
01
10
10
01
00
11
00
00
10
00
10
11
10
00
01
11
10
10
11
01
00
00
10
00
00
10
10
00
10
00
10
00
00
10
10
00
00
01
11
00
11
00
10
01
11
10
00
01
10
10
11
00
11
10
00
01
01
00
00
10
10
00
01
10
11
00
01
00
00
00
10
00
01
10
10
00
00
10
10
10
00
10
11
00
00
11
11
01
10
10
00
10
11
00
00
00
00
10
10
00
10
00
00
10
01
00
00
11
01
11
01
00
11
10
10
00
01
00
11
00
00
00
01
00
00
00
10
11
00
11
10
00
01
11
11
00
10
00
11
00
01
11
10
00
00
00
00
11
10
10
00
10
10
01
11
01
00
10
10
01
00
00
00
10
00
00
11
10
11
10
10
11
10
00
00
11
00
10
10
00
00
11
01
01
11
00
00
11
01
10
11
01
00
00
01
10
10
11
01
01
10
11
10
01
00
10
00
10
01
00
11
00
01
00
10
00
00
01
10
10
01
00
10
00
00
00
00
10
10
00
11
10
11
10
00
10
10
01
10
00
00
00
11
10
00
01
11
10
11
10
10
01
01
10
01
01
01
01
10
10
00
00
11
10
00
00
00
10
10
00
01
11
01
10
10
00
01
00
01
00
10
11
00
01
00
10
10
10
01
00
10
10
00
00
00
00
10
00
01
10
10
11
11
01
00
00
00
10
10
11
01
11
11
10
00
01
00
10
11
00
00
01
10
10
10
11
01
01
00
11
00
11
11
00
10
01
01
01
10
11
00
10
11
00
01
10
11
10
01
00
11
00
01
10
11
00
01
10
10
01
01
10
01
00
10
10
00
01
00
10
10
00
00
10
10
00
01
10
10
10
11
11
10
11
10
10
10
01
00
01
00
11
00
10
10
00
00
11
10
01
10
11
01
11
00
10
00
00
00
11
10
00
10
00
01
11
10
01
01
01
01
00
10
10
11
00
00
10
10
10
10
00
00
10
11
00
01
00
00
00
00
01
11
00
11
00
10
00
00
00
11
10
00
00
01
00
00
10
11
10
00
10
10
00
00
10
11
10
00
01
10
10
01
10
10
10
11
00
00
11
01
10
10
10
10
00
00
10
10
00
10
11
00
00
10
11
00
10
01
00
10
10
10
11
00
00
10
10
10
01
00
10
10
11
01
11
10
00
00
00
10
10
01
00
00
00
10
00
11
10
10
00
00
11
00
10
00
01
10
00
00
10
10
00
00
01
01
01
10
00
10
00
01
11
10
00
10
10
00
10
11
00
00
10
11
10
11
00
10
01
00
10
11
10
01
10
00
00
01
11
10
10
00
00
10
00
00
10
10
11
10
11
11
11
10
11
00
10
11
00
01
00
11
10
00
00
00
10
01
00
10
11
00
10
11
10
10
11
00
01
10
10
10
00
00
10
00
00
00
10
00
10
00
10
10
10
01
11
01
10
00
01
10
00
00
01
10
10
00
00
00
10
00
11
10
00
01
10
10
01
00
10
00
11
11
00
10
10
10
01
01
01
00
10
01
10
00
10
10
10
11
00
00
01
01
11
10
10
10
00
00
00
11
01
00
10
11
10
10
01
01
11
10
00
01
10
01
00
11
11
01
11
11
10
00
11
10
11
00
00
10
01
10
11
01
00
00
10
10
00
00
11
11
10
00
10
00
11
11
00
10
10
10
01
00
10
10
11
00
01
10
11
00
11
01
00
00
10
10
10
01
00
11
11
10
00
00
10
00
11
10
00
10
11
00
00
10
10
00
00
10
11
10
00
11
11
10
01
00
00
00
01
10
10
01
00
10
10
10
11
11
01
01
11
10
10
10
10
01
00
10
10
10
00
10
00
10
00
00
01
00
10
10
11
11
10
01
00
00
00
10
10
10
00
01
00
00
00
10
10
10
01
00
10
11
10
10
11
00
00
11
10
11
10
00
00
11
11
11
01
11
10
11
00
00
10
10
00
01
10
01
01
00
10
00
00
10
10
00
10
11
11
00
11
10
01
00
10
11
00
00
00
00
00
01
11
00
00
10
11
11
00
01
10
10
01
01
11
00
00
10
00
00
11
11
00
11
10
00
10
00
10
10
11
00
00
10
00
10
00
00
01
11
00
10
10
10
01
11
00
00
10
10
11
10
10
10
10
01
11
00
11
10
00
10
00
01
10
01
01
00
10
00
00
11
00
00
10
10
10
10
10
01
10
10
10
10
11
11
10
00
00
00
10
00
10
00
10
01
01
11
00
01
11
11
11
10
00
11
10
11
00
00
11
00
11
10
00
00
11
10
11
11
00
10
01
00
10
01
01
10
11
10
10
00
01
00
00
11
10
10
11
10
00
00
11
00
00
10
01
11
10
11
00
00
10
00
01
11
01
00
10
10
00
11
10
00
00
00
10
10
01
01
00
00
00
00
00
10
11
10
00
01
10
10
00
00
10
01
00
10
00
00
10
00
11
11
11
00
00
11
11
10
11
00
00
10
10
00
01
00
10
11
10
10
10
10
00
10
11
00
10
10
00
11
10
00
10
00
00
10
00
10
01
00
10
11
10
00
01
10
00
10
10
00
00
10
10
00
11
10
00
11
01
01
01
00
10
11
01
10
11
10
00
01
00
00
11
10
01
10
01
00
10
01
10
00
01
01
11
11
00
01
00
01
00
11
11
01
10
11
10
00
01
10
10
00
00
10
10
01
01
11
00
00
00
01
01
11
00
10
00
00
10
01
10
11
11
01
00
01
10
01
10
10
00
01
10
11
01
01
11
01
10
11
01
00
10
10
01
01
00
11
11
01
00
00
11
10
00
00
00
11
00
11
11
00
00
10
00
10
10
00
00
10
11
10
01
00
10
01
10
00
01
00
10
10
01
11
01
10
00
00
10
01
10
01
10
10
00
10
10
01
01
10
00
00
00
10
11
10
11
00
10
10
10
01
10
10
00
00
11
11
01
10
01
10
10
00
11
00
01
01
10
10
10
00
10
10
00
01
10
01
11
01
10
00
01
11
10
01
00
11
11
01
10
10
10
00
10
00
00
10
11
11
10
00
10
00
01
00
11
10
00
00
11
11
00
11
10
01
01
01
10
00
00
10
10
10
01
00
11
10
00
10
11
00
00
00
11
10
11
01
10
11
01
00
11
11
01
11
00
10
11
00
00
10
00
00
10
00
00
00
10
00
10
10
11
00
10
10
01
10
10
01
01
10
10
00
01
10
11
00
01
00
10
10
11
11
01
11
00
00
11
00
10
11
00
01
11
01
10
00
11
10
00
00
00
00
10
01
11
10
00
00
10
10
00
00
00
01
01
01
10
10
10
11
00
00
10
10
00
11
01
11
11
11
10
11
10
01
01
10
10
01
00
00
00
01
10
10
10
10
10
00
01
01
01
10
01
00
10
00
10
00
00
11
10
00
01
11
10
01
00
10
10
10
00
01
10
10
00
10
00
00
10
11
10
10
00
10
11
10
11
01
00
11
01
10
00
00
10
10
00
00
11
00
01
00
11
10
00
00
10
10
00
11
00
00
10
10
00
10
10
00
10
11
00
10
00
10
00
00
10
10
00
00
00
10
11
01
01
01
10
10
00
11
10
00
10
11
10
11
10
00
01
00
10
11
01
00
00
00
11
01
00
10
00
10
10
11
00
11
11
01
11
10
10
00
01
11
10
00
00
11
00
00
00
11
11
10
00
00
10
10
00
10
10
00
01
00
01
01
11
00
10
10
10
10
00
10
10
11
11
10
10
01
10
00
11
01
01
00
10
10
00
00
10
10
00
11
00
11
01
10
01
10
10
00
00
11
00
10
11
00
01
01
00
00
11
11
11
11
00
01
01
00
00
10
11
10
10
00
00
10
10
00
00
10
10
00
11
11
11
00
01
10
00
00
00
00
10
10
00
00
00
00
01
11
11
00
10
11
00
00
10
10
11
11
01
10
00
10
11
11
01
10
10
10
00
11
10
00
01
10
11
10
01
01
00
01
11
11
00
10
10
10
00
00
00
11
01
00
11
00
10
00
01
10
10
10
10
01
10
00
00
10
10
10
00
01
10
11
11
10
10
00
11
00
11
10
00
10
00
00
00
00
10
00
01
11
11
11
00
00
10
00
01
00
01
11
00
00
00
10
10
10
00
10
01
10
01
00
11
11
10
10
00
01
10
01
00
01
10
10
00
00
10
10
00
11
00
00
11
00
10
11
01
01
10
10
00
10
10
11
10
01
00
10
00
01
11
00
10
10
01
00
10
10
11
10
01
00
10
11
00
11
10
00
00
10
10
00
00
10
00
00
10
10
10
11
00
00
00
10
11
10
00
00
01
00
10
00
01
00
01
00
10
10
00
10
11
10
01
01
10
00
10
11
10
10
00
10
11
01
11
00
10
10
10
00
01
11
10
10
10
00
10
10
00
10
00
10
10
01
10
11
11
00
11
11
00
00
01
10
00
00
10
10
10
00
00
11
10
10
00
10
01
10
11
10
01
01
10
01
01
00
11
10
10
00
00
01
00
01
01
00
10
00
10
00
11
11
00
00
10
11
11
00
10
10
10
10
00
01
10
10
00
10
10
00
00
01
00
01
10
10
10
10
01
10
10
01
10
10
00
10
01
11
01
11
10
00
01
00
10
00
00
00
11
10
01
00
10
00
10
00
00
11
10
11
00
11
10
01
00
01
10
10
11
10
11
00
01
10
10
10
01
11
11
01
00
10
00
00
00
11
01
01
10
10
11
10
01
00
01
10
10
10
10
10
10
10
01
00
10
10
01
00
01
11
10
10
00
00
10
10
00
00
11
11
00
00
00
01
10
10
10
11
00
10
11
00
11
00
10
00
10
00
00
10
11
00
00
01
00
01
10
10
11
00
10
10
10
00
00
00
11
00
11
11
10
00
00
00
10
00
10
10
00
00
00
00
00
10
10
10
10
00
01
11
11
01
10
01
10
00
00
00
11
10
01
01
00
11
10
10
10
10
11
01
01
00
10
11
10
01
01
10
10
10
00
00
01
11
01
00
11
01
00
11
11
11
00
01
10
01
10
01
01
10
01
01
10
10
11
00
10
11
11
01
10
00
11
10
00
10
00
00
00
10
10
10
11
10
00
11
10
01
01
01
11
11
10
01
00
10
10
11
00
00
00
10
10
00
10
10
10
10
00
11
01
01
11
00
11
10
11
01
00
10
10
00
00
11
01
11
10
11
10
01
10
01
01
10
10
10
11
00
10
00
01
11
11
11
01
10
11
00
01
11
01
00
11
10
01
10
10
00
00
10
11
10
00
10
10
11
00
00
10
00
00
00
10
10
10
00
00
01
11
10
00
10
10
10
00
00
11
11
10
00
10
00
10
10
00
00
10
11
01
01
00
00
00
00
10
00
00
10
01
00
11
01
01
10
10
01
11
11
01
00
11
10
10
00
01
10
10
10
00
10
01
10
00
11
00
01
10
10
10
11
00
11
00
00
00
01
10
10
00
10
00
10
10
00
11
01
00
10
10
00
01
10
10
10
11
00
00
10
00
10
01
10
11
01
00
10
00
01
10
00
00
11
01
10
01
10
10
00
10
00
11
10
01
00
10
01
00
00
10
10
00
00
00
01
10
10
10
00
10
11
10
00
01
11
11
01
10
01
10
11
01
10
10
01
00
11
10
00
00
11
00
10
00
11
10
10
11
00
00
10
10
11
10
00
11
10
01
10
11
00
01
11
10
01
00
10
11
10
00
11
11
00
00
11
00
10
11
00
00
01
10
01
00
10
11
10
01
00
10
00
00
00
00
00
10
01
00
01
11
10
01
00
10
11
10
00
11
11
01
01
10
10
10
01
10
10
01
00
10
10
10
00
00
00
10
11
10
00
10
11
10
01
00
00
10
00
10
10
10
01
10
01
11
10
11
11
10
11
00
01
00
10
10
10
01
00
00
10
01
00
11
01
11
00
01
11
00
00
00
00
10
10
10
10
11
00
00
10
10
00
11
10
00
10
00
10
10
00
00
00
10
11
11
11
00
00
00
10
00
11
10
00
00
11
00
00
10
00
10
00
01
10
11
00
00
10
00
11
10
01
00
00
10
00
10
10
00
00
11
10
00
01
00
00
10
11
10
01
00
10
00
11
01
01
10
11
00
10
00
00
01
00
01
10
00
10
00
00
00
10
11
01
11
00
00
11
10
00
00
10
11
00
01
11
00
01
10
01
00
11
11
10
10
00
11
01
00
10
00
00
10
00
10
00
10
00
01
00
10
10
10
00
01
10
00
01
00
10
11
00
00
00
11
11
01
10
00
10
10
00
10
00
01
11
10
01
10
01
00
01
10
00
10
10
01
01
11
10
01
10
00
00
10
00
01
01
10
01
01
11
01
00
11
10
11
00
10
10
00
10
00
00
10
10
00
11
11
00
00
10
00
11
10
00
01
11
00
11
10
00
00
00
00
11
01
10
00
00
00
00
11
11
10
10
10
00
11
10
00
01
10
10
10
10
10
01
00
11
00
10
11
00
00
11
00
00
01
00
11
00
11
10
00
10
11
01
01
11
00
00
00
00
11
10
01
00
00
11
00
00
00
10
10
00
10
11
01
01
10
00
01
00
10
00
00
11
11
01
01
01
11
11
10
01
10
10
00
00
11
11
00
01
11
11
01
10
00
00
10
11
11
00
00
00
00
01
00
00
10
11
01
00
10
10
01
11
00
10
10
00
00
01
10
11
11
01
00
01
01
11
10
00
00
11
10
01
10
10
01
10
11
10
11
00
00
10
00
10
11
00
01
10
01
10
10
00
00
00
11
01
00
10
10
00
10
00
00
10
10
10
00
10
10
00
10
11
00
01
00
10
11
01
10
00
10
10
10
10
10
11
10
00
00
10
11
10
10
00
01
00
01
00
10
10
10
01
00
01
00
10
00
00
01
11
11
01
00
00
11
10
11
10
01
10
00
00
10
10
00
11
10
01
00
10
01
11
10
10
00
00
00
00
10
01
01
11
10
10
00
10
00
00
10
11
00
00
10
10
01
01
11
00
00
10
11
00
00
10
01
01
11
00
00
11
01
00
10
11
00
00
00
00
10
11
10
10
10
11
11
10
00
00
01
10
00
00
01
00
00
01
10
11
10
00
01
00
00
01
00
11
10
11
11
10
10
01
11
00
10
10
00
10
10
01
10
00
00
00
01
10
00
00
00
10
10
10
10
10
00
00
00
10
00
10
10
00
10
10
11
10
11
00
10
01
10
10
00
01
10
10
10
10
01
00
00
01
10
00
01
00
00
10
10
10
10
01
10
00
00
00
01
11
00
00
11
01
01
11
10
11
00
01
10
11
01
00
11
11
00
01
01
10
00
00
11
01
00
10
10
00
11
10
00
00
10
00
00
00
10
00
00
01
01
00
10
00
11
10
00
00
00
01
10
10
10
00
10
01
01
11
00
10
10
10
11
00
00
10
10
10
11
01
10
11
01
00
10
11
00
01
00
01
10
10
10
01
00
10
10
00
11
00
11
10
11
00
11
00
01
10
11
00
00
01
10
10
01
00
01
00
00
00
00
11
01
00
10
10
00
11
11
00
01
10
10
01
11
00
11
00
01
01
10
11
00
01
10
00
00
00
10
11
01
00
01
01
00
11
11
00
10
10
00
10
01
11
10
01
00
00
01
10
00
10
10
00
00
11
00
11
00
11
11
00
11
01
11
10
11
01
00
01
10
00
01
10
10
11
10
00
10
11
10
10
10
00
00
10
00
01
11
01
01
10
00
10
00
10
10
00
00
11
10
00
11
00
01
10
00
00
10
00
00
00
10
10
01
00
10
01
10
01
11
01
10
00
00
10
01
00
10
11
00
00
00
11
10
10
01
00
10
01
10
10
10
00
00
00
01
10
10
10
00
11
00
01
10
10
10
01
00
11
10
00
10
11
00
00
00
11
10
11
00
10
11
10
10
10
00
01
11
00
10
00
00
10
10
00
11
10
00
10
01
01
01
00
00
00
11
00
11
10
01
01
00
11
00
10
00
01
10
00
00
11
00
11
11
11
00
10
10
11
10
00
01
00
00
10
00
10
10
11
10
00
10
00
10
00
01
10
10
00
11
10
00
00
01
11
01
01
11
00
00
01
00
11
00
00
10
00
10
10
01
01
10
10
00
11
10
00
10
00
01
10
01
11
10
00
10
00
00
10
10
10
11
00
00
10
10
10
11
10
10
01
00
11
10
10
11
11
11
10
11
00
00
10
10
10
00
10
11
10
10
10
01
10
10
10
00
01
00
01
11
10
11
00
01
10
10
00
00
00
11
10
10
10
10
10
01
10
11
00
01
10
01
10
11
10
00
11
01
00
10
10
00
00
10
10
00
01
11
00
11
00
10
11
10
00
10
11
00
11
10
00
10
00
00
01
11
11
10
10
10
00
00
10
01
00
10
00
00
10
01
10
01
01
11
11
00
01
10
11
01
10
01
00
00
11
10
01
00
10
00
01
10
10
11
10
10
00
00
10
00
01
11
10
10
10
10
00
00
10
11
10
00
00
10
00
11
11
01
10
10
10
00
10
10
00
00
11
00
10
11
01
10
11
10
01
00
01
10
10
10
01
11
11
00
00
01
10
00
01
10
10
10
00
11
11
00
01
01
10
00
11
10
01
01
11
10
00
11
10
00
01
10
00
00
10
10
11
00
00
10
10
00
10
11
00
00
01
00
00
01
00
10
00
10
00
11
11
11
01
10
11
00
00
00
10
10
00
00
10
11
10
00
00
00
10
00
01
00
11
00
10
10
10
10
00
10
10
10
10
10
10
00
01
10
00
00
10
11
00
00
11
10
00
00
10
10
00
00
11
10
00
00
11
01
10
00
00
10
00
00
00
11
01
00
10
10
00
11
10
10
00
10
10
11
00
01
10
11
10
00
11
10
11
11
10
00
01
10
11
00
00
00
10
10
00
00
10
10
10
10
00
00
10
11
01
10
00
00
10
01
00
11
11
10
00
11
10
10
10
00
00
00
00
11
10
00
01
11
01
01
10
00
11
00
10
10
00
00
10
10
10
00
10
10
10
11
11
01
01
11
00
10
01
11
10
01
00
11
11
11
00
11
00
01
01
11
01
00
11
00
01
01
11
10
01
00
10
01
00
10
10
01
01
10
10
00
10
10
00
11
10
00
00
11
10
00
01
00
00
10
10
11
10
00
11
10
10
00
00
00
00
10
11
01
01
10
00
11
10
00
11
10
01
00
00
00
10
10
00
01
10
00
01
10
11
00
00
10
00
01
10
00
00
00
00
00
01
00
00
00
11
11
00
00
11
10
00
00
11
11
01
01
11
00
10
01
01
10
00
00
11
10
01
00
00
10
00
10
10
01
01
00
10
01
00
00
00
10
10
00
00
10
01
01
11
11
10
11
00
10
00
01
10
10
10
00
00
00
00
10
11
10
11
10
00
10
10
01
00
10
10
00
00
11
11
00
01
10
01
00
00
10
10
00
00
00
10
00
00
10
01
11
00
01
11
10
10
10
10
11
10
01
10
00
01
10
00
00
00
10
10
01
00
10
00
10
10
00
10
00
01
10
11
11
10
00
10
11
01
00
10
10
10
01
10
10
10
01
00
10
10
00
00
00
00
00
01
10
11
10
11
00
10
00
01
00
11
10
01
00
00
10
01
11
00
01
10
01
00
10
11
10
00
01
01
00
11
10
00
00
10
10
11
00
00
10
10
00
01
10
00
11
11
01
11
01
01
01
10
10
01
10
10
00
00
10
00
00
10
10
00
10
11
00
10
10
00
01
11
10
10
01
10
01
00
10
11
00
10
10
01
01
00
11
10
01
01
11
00
10
01
00
00
10
11
00
10
10
01
00
00
00
10
01
00
11
10
01
10
11
11
00
11
00
00
11
00
10
00
11
10
10
00
00
10
10
10
01
00
10
11
00
10
10
11
10
00
00
01
11
10
00
00
10
00
00
11
10
11
00
00
10
10
00
01
10
00
11
10
11
01
00
10
00
01
10
10
00
00
11
01
00
00
11
01
00
10
10
10
10
00
01
11
10
11
10
00
10
10
10
10
11
00
00
01
00
10
10
10
01
00
11
00
00
00
00
11
11
01
00
10
10
00
00
11
00
10
10
10
00
00
00
11
10
01
01
11
10
00
00
10
10
00
00
10
00
00
11
01
00
00
10
11
10
00
01
01
10
10
10
00
11
11
00
11
00
10
10
10
10
00
10
10
10
00
00
00
01
00
11
10
11
00
10
00
00
01
10
10
01
10
10
00
01
00
01
11
10
01
10
01
10
10
01
10
10
00
10
00
01
11
10
10
00
11
11
00
00
01
11
10
11
00
11
10
11
00
00
00
01
00
00
10
10
00
00
11
01
00
10
10
00
00
01
00
10
10
10
10
10
10
00
11
00
10
10
00
10
10
10
01
00
00
00
00
11
10
10
10
01
10
00
00
00
10
11
10
11
00
01
10
00
01
11
00
11
00
01
11
10
00
00
11
10
11
10
01
00
10
10
00
00
01
11
10
00
10
00
00
11
11
10
00
01
00
00
00
11
01
01
01
00
10
10
11
11
00
10
10
00
00
11
01
00
11
11
00
01
00
00
00
01
10
10
00
00
00
00
11
10
01
01
10
11
11
00
00
10
10
10
00
00
01
00
10
10
10
11
10
00
00
10
01
10
00
11
10
10
11
11
10
10
00
01
11
11
00
10
10
01
11
11
11
00
00
11
10
01
10
10
00
00
01
00
11
10
00
00
01
10
10
10
00
11
10
01
01
10
11
01
00
10
00
10
10
00
00
10
11
00
10
00
00
00
11
01
10
11
10
11
00
11
00
10
01
00
10
00
11
10
00
11
11
00
00
10
10
11
10
00
00
10
00
10
11
01
11
11
11
11
10
10
10
10
01
10
10
01
10
10
10
01
00
10
00
01
11
00
10
01
10
10
10
11
10
10
01
10
00
11
00
01
00
11
01
10
00
00
01
11
00
00
11
00
10
10
01
10
01
01
10
00
01
10
00
01
00
00
10
10
00
00
10
00
01
01
01
00
10
10
01
11
00
00
11
11
10
00
00
10
00
00
01
11
00
10
00
00
11
10
11
00
10
01
10
10
01
00
10
01
11
10
10
01
10
10
00
10
00
10
00
00
11
11
01
01
00
01
11
00
00
10
11
00
00
10
10
01
11
00
00
01
11
10
01
11
10
01
00
01
10
11
10
01
10
11
10
00
01
01
11
10
00
00
11
00
00
01
10
00
00
01
10
01
11
01
01
00
00
10
00
01
10
10
11
10
00
10
10
10
00
11
11
00
00
10
10
10
01
01
00
00
11
10
11
10
10
00
01
00
00
10
01
11
10
01
01
00
00
10
00
11
11
00
10
10
00
01
00
00
01
10
00
11
00
11
10
01
00
10
00
11
00
11
10
00
00
00
01
00
01
10
10
01
11
10
01
00
10
01
10
10
00
00
10
00
11
11
00
10
10
10
10
01
00
11
10
11
11
10
11
10
10
00
10
10
00
00
00
11
01
01
00
00
10
00
01
10
10
00
00
01
00
11
10
10
01
00
10
00
10
11
00
10
00
10
10
10
00
10
10
00
10
00
11
11
00
01
01
10
10
01
10
00
10
10
11
10
00
10
10
00
00
00
10
11
11
00
11
10
01
10
10
01
10
11
01
11
01
11
11
01
11
11
10
01
01
10
11
00
01
10
10
10
00
00
10
11
00
00
10
01
11
11
00
01
00
10
10
00
10
10
01
01
01
11
01
01
00
00
00
10
10
00
10
00
00
01
10
01
10
11
11
00
10
10
10
01
00
00
10
10
00
00
01
01
10
11
00
01
00
00
10
11
00
00
10
11
01
01
10
01
11
01
00
10
10
01
10
11
00
00
11
01
00
10
10
00
00
00
00
10
01
01
10
10
00
10
01
10
00
11
00
10
10
00
00
01
00
10
11
00
01
10
11
01
10
11
10
00
00
00
10
10
11
00
10
01
10
10
10
01
00
10
00
01
10
10
10
10
00
00
01
01
11
00
00
01
11
00
10
11
11
10
01
10
00
00
11
00
10
10
10
11
11
00
01
10
10
01
00
01
10
10
00
10
01
00
10
10
10
10
11
00
11
10
01
11
11
11
00
00
10
00
01
01
10
10
00
00
11
00
10
00
10
11
10
10
00
10
01
11
10
00
00
01
11
00
10
10
00
00
11
11
01
00
01
00
00
00
10
10
11
10
01
11
10
00
00
11
00
11
01
11
00
00
01
10
01
11
10
00
01
00
10
10
00
00
01
10
10
01
01
00
11
10
00
10
00
10
11
01
00
01
01
10
00
01
11
00
10
00
00
00
11
11
00
00
10
11
01
00
10
10
11
00
10
00
00
10
11
00
10
00
00
01
00
00
00
10
11
01
00
10
00
10
10
00
00
11
10
00
00
00
00
00
01
11
01
00
01
11
00
01
00
10
11
00
00
10
10
00
10
10
01
10
10
01
11
00
00
01
01
10
10
11
00
11
00
01
10
00
11
10
00
00
00
10
00
11
00
10
11
10
11
00
01
01
10
10
11
00
11
10
00
00
01
00
01
01
11
00
11
10
01
10
00
00
10
01
01
10
10
11
10
00
00
10
10
00
00
10
11
01
11
10
10
00
10
10
00
00
00
00
00
10
10
10
00
01
11
11
10
00
11
11
10
01
00
10
10
10
00
10
11
00
01
10
01
10
00
11
10
10
10
10
01
10
11
01
01
11
01
00
11
11
01
00
11
00
00
10
00
00
10
01
00
11
00
00
11
10
00
11
01
01
00
00
01
11
10
00
01
11
01
01
10
10
10
00
10
00
00
10
00
01
00
11
10
00
00
10
11
11
00
10
00
10
01
01
11
10
00
00
00
10
10
10
01
10
00
01
01
11
00
10
11
11
00
01
01
10
00
10
10
11
00
01
10
10
00
10
00
01
10
10
00
01
11
10
10
10
10
10
10
10
00
11
10
01
11
00
00
10
11
10
10
00
00
01
11
00
00
10
01
00
00
11
10
01
00
00
00
10
10
10
01
00
00
00
00
10
11
10
10
11
00
00
10
10
00
00
10
10
10
01
00
11
10
00
10
00
00
01
11
10
01
11
00
11
00
00
01
10
11
11
00
00
11
11
01
11
00
01
00
01
10
10
10
00
11
01
00
11
10
11
00
11
00
10
11
01
10
10
00
01
00
10
11
00
10
10
00
10
00
11
00
10
00
00
11
10
00
00
01
00
00
10
10
00
10
00
00
10
00
01
00
01
10
10
00
01
11
10
01
00
10
11
00
10
10
10
01
00
01
00
11
10
11
10
00
10
00
10
11
00
01
01
01
00
10
00
10
00
01
10
10
01
10
01
10
10
01
00
01
00
11
00
10
10
10
10
00
01
10
01
10
11
00
00
10
10
01
00
11
10
01
11
11
00
01
00
10
00
00
11
11
01
00
01
01
10
00
10
10
01
10
00
01
11
10
00
10
11
00
01
11
00
00
00
00
00
11
10
00
11
10
00
00
11
11
00
00
10
11
00
00
10
11
10
01
00
00
10
10
11
00
00
10
00
10
11
10
00
00
00
10
00
00
11
11
00
10
00
00
01
00
10
11
00
00
01
00
10
01
00
11
11
00
00
10
11
10
10
00
00
10
00
01
10
00
00
10
11
00
01
01
11
10
01
11
00
00
00
01
10
10
01
10
10
00
10
01
11
10
01
01
01
11
01
10
00
00
10
10
00
00
11
10
00
10
10
11
01
00
10
00
00
10
00
00
10
01
10
11
01
00
00
00
10
10
10
00
01
10
11
00
10
00
11
11
01
00
01
00
10
00
10
10
10
01
00
01
01
00
01
00
11
10
10
01
00
11
10
00
01
10
10
10
11
10
10
00
11
01
00
01
00
01
01
11
10
00
01
10
10
10
00
00
11
10
10
00
00
00
10
10
10
10
10
11
10
00
11
00
01
11
11
01
10
10
10
00
11
01
00
10
11
10
11
10
00
10
10
00
10
00
00
01
01
11
00
00
10
11
10
00
00
11
10
01
00
10
11
01
01
10
10
10
00
11
10
00
00
10
10
01
00
10
00
00
10
10
10
01
01
11
01
11
01
01
10
00
10
10
00
10
11
01
01
10
01
10
00
00
00
10
10
10
01
01
01
01
00
11
00
00
10
10
00
00
00
11
10
11
00
11
10
00
00
01
11
10
00
00
11
11
00
10
10
10
00
11
11
10
00
01
00
10
11
00
00
11
00
10
11
01
00
10
10
00
00
10
10
10
11
01
11
00
10
10
11
00
00
10
01
00
10
00
01
01
11
00
10
00
01
00
00
10
11
11
01
10
01
00
00
10
01
11
11
00
00
00
10
10
10
01
00
00
11
00
01
01
10
00
11
11
10
11
00
01
10
10
10
01
10
10
00
11
10
00
01
00
00
10
00
01
01
11
10
11
00
01
10
11
01
01
10
11
00
00
01
10
00
01
10
10
10
00
10
10
10
11
10
01
00
01
01
10
00
00
00
10
00
01
00
00
00
00
01
01
10
11
11
00
10
11
10
10
10
10
00
00
00
11
01
00
10
11
00
00
00
00
10
10
11
00
10
00
11
11
00
10
00
00
10
10
11
11
00
00
01
00
11
00
01
01
10
10
10
10
00
00
10
11
01
11
01
00
10
11
10
10
00
00
10
10
10
00
10
11
00
11
00
11
00
01
10
01
01
10
11
00
11
10
00
00
00
11
10
11
11
00
01
11
01
00
11
10
00
10
10
01
01
10
10
01
00
10
00
11
11
00
00
01
11
11
10
10
10
00
11
01
00
10
11
10
10
00
00
00
01
00
10
00
11
10
10
10
00
10
10
10
00
10
11
01
01
10
00
10
11
11
01
10
10
00
00
00
00
10
00
10
11
00
11
10
10
00
01
10
01
10
11
11
00
10
01
00
10
10
00
00
00
10
00
10
00
00
00
11
00
00
10
10
10
11
00
11
10
01
00
10
11
10
01
00
11
10
00
00
10
10
01
10
00
10
10
00
10
10
10
00
00
00
10
10
11
10
01
00
11
10
10
11
00
00
11
11
10
11
00
00
10
10
11
11
10
00
00
11
00
01
01
10
00
10
00
10
00
01
10
11
11
01
01
10
01
10
11
01
10
11
11
11
00
11
10
10
00
00
00
10
10
00
00
00
01
11
10
11
11
01
10
00
00
11
11
00
01
10
00
10
11
00
10
10
00
10
00
10
00
00
10
11
00
01
11
10
00
10
10
01
00
00
00
00
00
11
10
10
11
10
10
01
10
00
10
11
11
01
01
11
01
10
10
01
11
10
10
00
01
00
00
00
10
10
11
00
00
11
01
10
00
10
11
11
10
00
00
00
10
10
11
11
10
01
10
01
10
10
00
00
10
11
11
00
01
00
11
00
10
01
00
10
10
00
10
01
00
10
00
01
00
11
10
11
00
00
10
10
00
00
00
00
00
10
10
11
00
00
10
01
00
00
00
11
00
00
10
10
10
10
00
10
11
10
11
10
00
10
11
00
01
10
11
10
11
01
01
10
10
00
10
10
00
01
11
11
00
00
00
00
01
11
00
00
11
10
11
00
10
11
00
00
01
00
10
11
01
01
11
10
01
11
00
10
00
00
11
10
10
00
11
10
01
01
10
00
01
00
01
01
00
10
00
10
10
10
00
00
11
11
00
01
01
00
11
00
11
00
00
11
10
00
00
00
10
01
00
11
01
01
11
10
11
01
10
11
00
00
00
10
11
01
10
00
10
11
01
10
00
11
10
10
00
00
11
10
11
10
10
10
00
00
00
00
10
10
01
10
10
01
00
11
00
01
00
11
00
01
00
10
00
00
00
10
00
11
11
10
10
10
11
01
01
10
00
11
00
10
01
01
10
11
10
01
10
00
00
11
00
10
00
01
10
00
00
10
10
00
10
00
10
01
10
10
00
11
00
00
10
11
00
10
01
00
10
11
10
10
10
00
11
10
01
10
10
00
01
10
01
10
11
10
10
00
00
01
11
10
01
11
11
00
00
11
10
10
00
00
11
00
00
00
10
00
00
01
00
11
10
00
01
10
11
00
01
10
00
00
00
10
01
00
10
00
01
11
11
00
01
10
11
00
00
10
01
00
11
00
01
11
00
10
10
00
01
00
10
10
11
01
01
10
01
00
00
10
11
00
10
11
00
10
00
10
10
11
00
10
00
00
00
11
10
00
10
01
11
10
10
10
11
11
10
11
00
00
11
00
10
11
00
01
11
10
10
10
01
00
10
11
00
10
11
10
00
11
01
01
10
11
10
11
01
11
00
00
00
10
01
01
00
01
10
00
00
11
00
01
01
11
00
00
10
11
10
00
00
10
00
10
01
00
01
10
10
10
10
10
10
00
01
01
11
10
01
11
11
11
01
01
10
01
00
10
00
00
10
00
00
01
00
10
01
00
00
00
01
10
11
10
10
00
00
11
11
10
00
00
01
00
10
10
11
00
11
11
11
00
10
00
00
11
10
00
00
10
00
11
10
00
01
00
10
00
00
11
10
00
10
00
00
10
10
01
00
01
10
11
00
10
00
10
11
00
10
11
00
11
10
11
00
00
11
11
10
00
01
11
11
11
00
00
00
01
10
00
10
11
10
00
10
11
11
10
00
10
00
11
00
00
10
01
10
00
11
00
01
11
10
01
10
00
11
10
00
10
11
00
01
11
11
11
01
10
10
10
00
10
11
00
01
11
10
10
10
10
00
00
10
10
00
00
00
00
00
10
10
10
00
10
11
11
00
10
11
01
10
10
10
01
11
01
00
11
10
00
11
11
10
01
00
10
10
11
00
01
01
10
00
10
10
01
00
11
00
01
00
00
11
00
10
10
00
00
01
10
00
10
11
00
11
00
00
00
11
00
01
00
10
10
00
00
10
01
01
10
11
00
10
10
00
00
00
11
10
00
10
01
11
11
00
00
00
10
11
10
00
01
10
10
10
00
00
10
10
10
00
10
10
10
00
01
10
01
00
10
11
10
00
01
00
00
10
00
10
10
10
11
00
01
11
10
10
10
10
11
01
01
10
01
00
01
00
10
10
00
01
10
00
01
11
11
01
10
00
10
00
00
10
10
00
00
00
00
01
11
11
10
11
01
00
01
00
10
00
10
10
01
10
10
10
11
11
10
10
00
00
10
10
01
00
11
10
10
00
10
11
00
01
10
00
10
11
00
00
10
11
00
11
00
01
01
10
10
10
11
01
10
11
10
00
01
11
11
00
00
00
00
01
00
10
11
10
00
11
10
00
00
10
10
10
01
11
10
01
00
00
10
01
00
11
11
10
11
00
10
00
00
11
00
11
10
00
01
00
10
10
00
01
10
11
01
00
10
11
10
11
10
00
11
10
01
11
11
01
00
10
00
01
00
00
11
10
10
00
10
10
01
10
01
01
11
00
01
00
00
10
10
10
01
00
10
11
00
01
10
01
00
01
10
10
00
01
00
10
10
00
00
10
00
11
11
01
10
10
10
00
00
01
11
11
00
11
00
00
11
11
10
00
00
10
11
00
00
11
10
01
01
01
00
00
11
00
10
10
10
01
01
10
11
00
01
00
01
10
10
00
00
10
10
00
01
10
10
01
00
10
11
01
00
01
00
10
10
01
00
10
00
01
01
10
00
01
00
10
00
10
10
01
01
10
10
00
10
10
00
00
00
10
00
11
10
11
01
11
10
00
10
10
00
11
11
01
00
00
00
01
10
11
00
11
10
01
10
10
00
01
00
11
10
00
10
10
11
10
11
00
11
00
10
10
00
01
00
00
10
10
01
01
00
10
10
10
00
10
10
00
00
00
00
11
10
01
00
10
11
10
10
01
01
11
11
00
10
00
01
11
00
01
10
10
00
10
00
00
10
10
10
00
10
10
10
10
10
10
00
11
11
01
10
10
00
01
10
10
01
10
11
10
10
01
10
10
00
01
11
10
00
10
00
01
00
00
10
10
00
10
11
00
01
10
01
00
01
01
11
01
00
00
10
10
00
01
10
10
00
10
00
01
10
01
01
10
11
10
10
00
11
11
01
00
11
11
00
00
00
10
10
01
01
10
11
00
10
01
10
11
11
11
11
00
01
10
00
00
11
11
01
01
11
00
10
11
10
00
00
11
10
00
10
10
11
00
10
11
10
01
00
11
00
00
10
11
00
00
01
10
01
00
00
11
01
01
10
10
00
01
10
10
00
01
10
10
11
11
00
10
01
00
10
10
01
00
11
10
10
00
00
10
00
00
10
00
10
10
01
10
10
11
10
01
10
01
00
01
00
00
01
10
11
10
11
00
10
00
10
00
00
00
00
11
10
10
01
00
00
11
00
00
10
10
00
10
00
10
10
00
10
11
00
01
00
10
00
10
01
11
00
11
10
00
11
11
00
00
11
11
00
00
10
10
10
00
00
01
00
10
11
00
01
00
11
10
10
10
00
11
10
01
10
10
00
00
01
10
11
10
10
00
01
10
10
00
00
11
01
01
11
01
01
00
10
10
10
10
11
00
00
10
10
00
10
10
10
00
00
11
01
10
10
00
10
10
00
01
01
00
11
00
01
10
00
11
11
00
00
10
11
00
00
11
10
01
10
10
01
10
00
00
01
00
10
11
11
10
01
10
00
01
10
10
11
01
11
11
00
11
00
10
01
00
10
10
10
00
10
00
01
10
01
00
00
10
10
00
01
01
10
00
00
10
10
00
10
00
00
10
01
01
10
10
00
10
11
00
01
11
00
01
00
10
10
00
10
10
10
01
00
11
10
10
10
00
01
10
00
01
01
00
01
01
11
00
00
10
11
00
00
00
10
00
00
11
10
00
01
00
00
11
10
01
00
01
01
00
00
00
10
10
00
10
11
01
11
01
11
10
00
11
11
10
00
01
10
11
01
01
10
10
10
01
00
01
10
11
00
00
00
10
10
00
10
10
00
10
00
01
00
00
10
01
10
00
10
00
01
01
00
10
00
00
10
10
11
00
10
00
00
00
10
00
11
10
00
00
10
11
01
10
01
00
00
00
10
00
01
01
10
10
11
01
10
00
00
11
11
10
01
00
10
00
11
10
00
10
10
00
00
11
11
00
01
11
00
00
11
10
00
00
10
01
01
10
01
11
10
11
10
10
00
01
10
10
00
00
10
01
01
10
11
00
00
00
10
10
00
10
00
01
00
10
10
00
10
10
10
01
00
11
00
01
00
10
11
01
00
10
11
01
10
11
10
00
10
10
00
11
10
01
10
11
11
00
00
11
00
01
00
00
10
00
10
11
01
10
10
00
00
10
10
00
00
01
10
00
01
00
01
00
10
10
10
00
01
11
10
00
10
00
11
00
01
10
10
10
00
01
00
10
11
10
00
00
00
11
10
01
10
10
10
10
00
00
01
10
10
10
00
00
11
01
10
10
00
00
01
00
01
10
00
00
11
10
00
00
11
11
00
01
11
10
11
00
00
01
10
10
00
10
10
10
10
10
11
00
10
01
00
10
00
01
00
10
10
11
00
10
00
00
11
11
11
01
00
00
00
01
00
10
00
00
10
01
00
11
01
11
10
10
00
11
11
01
00
11
10
00
10
00
10
00
10
11
00
01
01
10
10
10
00
10
00
00
00
00
01
00
10
01
11
10
10
01
10
00
10
11
00
00
01
01
10
00
11
01
10
10
01
10
10
00
00
00
10
10
11
01
01
00
01
10
10
11
10
11
00
00
10
01
00
10
00
00
10
11
11
01
00
10
11
01
00
10
01
01
10
00
00
00
10
00
11
10
01
01
11
10
01
01
11
00
00
00
00
10
11
10
00
01
00
00
00
10
10
00
00
10
10
01
01
01
11
10
10
10
10
00
00
11
11
11
00
11
10
01
00
10
00
10
10
01
01
10
11
10
11
00
01
10
11
11
00
00
01
00
10
10
01
10
11
01
00
00
01
00
00
10
10
10
00
00
10
01
00
10
11
00
11
00
00
00
10
01
10
10
11
10
00
11
11
00
00
01
10
10
10
00
00
00
00
11
10
00
10
01
11
00
11
11
10
10
00
00
10
00
00
11
10
10
10
00
10
10
00
01
10
01
10
11
00
10
01
00
01
10
11
01
01
11
00
00
10
10
01
00
11
10
10
11
10
10
00
00
00
11
11
01
11
11
11
01
00
10
00
00
10
01
00
10
10
10
10
10
10
00
01
11
11
01
10
00
10
00
11
01
01
11
00
00
10
00
10
11
10
01
11
00
11
11
00
01
00
00
01
10
10
10
10
11
01
01
10
01
00
00
10
11
00
00
10
00
10
11
00
01
10
11
00
11
11
10
10
00
00
10
01
01
11
00
10
01
10
00
10
11
00
01
00
10
01
00
00
00
00
11
11
01
10
01
00
01
11
00
10
10
00
01
10
11
10
01
11
00
00
10
10
00
10
10
10
01
10
10
00
00
10
01
00
10
11
01
00
10
10
01
00
11
10
00
00
00
01
01
10
10
00
10
01
00
11
00
00
10
01
10
10
00
00
10
11
01
00
10
10
01
01
00
00
10
01
10
00
00
11
10
00
10
00
10
10
10
10
00
00
10
10
00
10
10
00
01
10
11
10
11
10
00
00
01
01
11
11
00
00
10
00
10
01
01
11
10
10
00
01
10
10
10
00
10
11
10
00
10
10
00
10
10
00
00
10
11
10
10
01
00
10
10
10
00
01
10
00
11
10
01
10
00
01
10
01
10
10
00
00
00
00
00
10
00
01
10
10
10
10
00
10
10
00
00
00
00
00
00
11
11
00
01
00
10
10
11
00
10
11
00
00
00
10
00
01
10
00
00
11
10
11
01
11
11
00
01
01
11
11
00
10
10
01
01
10
11
10
00
10
10
01
00
10
00
10
01
10
11
01
00
11
10
10
00
11
11
00
00
10
11
11
00
01
10
11
10
00
00
11
10
01
01
00
10
11
11
10
11
10
00
10
00
10
10
00
10
10
00
00
10
10
00
10
00
00
00
01
00
01
10
00
10
10
11
00
00
10
10
00
00
10
00
10
00
10
00
10
10
00
00
10
11
10
01
11
11
10
11
00
00
10
10
01
00
00
10
11
11
00
00
10
11
01
10
11
10
00
11
10
00
11
11
01
01
10
10
01
00
01
10
01
00
10
00
11
00
01
10
10
01
00
11
00
10
11
00
00
10
10
00
00
10
11
00
00
11
10
11
10
01
00
00
11
01
00
10
11
01
10
00
01
10
10
00
10
00
10
00
01
10
10
10
10
00
01
01
11
11
01
10
00
11
01
01
10
11
01
10
10
11
01
11
00
01
10
00
10
01
00
10
00
01
10
11
10
00
01
10
11
10
10
00
10
11
11
00
00
11
10
11
11
00
00
00
01
00
00
11
11
10
00
10
00
01
01
01
11
10
00
00
01
00
10
10
01
00
11
11
10
00
01
01
01
10
10
00
00
00
10
10
01
00
11
10
10
00
01
10
11
10
00
10
00
00
10
00
00
00
10
00
00
00
10
10
00
11
00
00
10
10
10
10
10
00
10
10
11
11
00
00
10
10
10
10
10
00
10
01
01
00
00
11
00
00
00
10
00
01
10
00
00
01
00
00
10
10
00
00
11
00
11
11
10
00
10
10
10
00
00
10
10
00
11
10
11
00
10
00
00
11
00
00
10
00
01
11
10
00
01
10
01
10
00
10
01
00
10
11
00
00
01
11
01
10
11
10
10
11
11
10
01
10
10
10
00
10
01
00
10
11
00
10
00
00
10
00
11
00
10
00
10
10
01
00
00
11
11
00
00
00
01
10
10
00
00
11
10
00
01
10
10
11
10
11
10
11
00
10
11
01
10
01
00
10
01
01
11
10
00
00
01
10
00
11
11
01
00
11
10
10
11
00
00
00
00
11
11
00
01
10
10
11
11
11
10
00
11
00
10
00
10
10
00
00
00
11
10
11
00
01
01
00
10
01
00
10
11
01
11
00
00
00
00
00
10
10
00
00
10
00
10
00
11
01
10
10
11
10
00
00
00
11
10
01
01
00
11
01
10
00
11
10
01
01
10
10
00
01
10
10
00
10
10
11
10
01
11
10
00
10
10
11
11
00
01
00
10
10
11
00
00
10
10
01
10
10
01
11
00
11
10
00
11
00
01
10
10
10
10
01
01
00
10
00
11
00
00
10
01
11
00
11
00
10
11
10
11
10
10
00
10
11
11
10
00
11
00
11
00
10
10
11
01
01
00
10
10
10
00
11
10
00
10
00
10
01
01
10
11
11
00
00
10
00
00
11
11
10
01
00
01
10
10
00
10
10
01
00
10
10
00
10
00
01
10
11
10
00
10
10
00
00
10
10
10
00
00
01
01
01
11
00
00
10
11
10
00
00
10
10
00
00
10
10
10
10
00
00
10
00
11
00
11
00
00
01
10
10
10
00
00
10
00
00
00
00
11
00
10
11
10
10
11
01
01
01
11
01
10
00
00
10
11
01
00
10
11
01
00
10
10
00
10
10
01
11
10
00
01
01
00
10
10
10
01
00
10
10
01
10
00
00
10
10
00
00
10
10
01
00
01
01
10
10
10
10
10
00
00
10
00
10
10
10
00
01
01
11
11
10
01
01
00
11
10
00
10
10
11
00
10
11
00
11
01
01
01
01
00
01
11
01
01
10
11
10
00
01
11
00
10
10
00
11
00
10
11
00
01
10
01
01
00
01
10
00
00
00
01
11
10
11
00
01
10
10
11
00
01
00
10
11
11
10
00
10
00
10
10
00
00
10
10
01
10
11
10
01
01
00
10
10
00
00
11
11
00
00
00
01
01
11
10
00
10
10
10
10
01
01
10
11
01
01
10
00
10
10
01
00
11
10
00
01
10
00
00
11
10
10
01
10
10
01
01
01
11
00
11
10
10
11
01
00
01
10
11
10
00
00
00
00
10
11
10
00
01
10
00
10
00
00
10
00
10
11
10
10
10
00
00
01
11
01
01
11
00
10
01
11
10
01
10
11
00
00
00
11
10
01
11
00
01
10
10
00
00
00
01
11
10
00
10
01
00
01
01
10
00
00
10
10
11
10
10
01
00
10
11
10
10
00
10
10
00
00
00
00
01
11
00
00
01
10
10
01
00
01
01
10
00
10
10
00
00
10
10
10
10
00
01
00
00
00
00
11
11
01
00
10
00
00
10
10
00
01
01
00
10
11
10
11
00
00
10
00
00
10
00
00
10
00
00
10
00
00
00
11
11
01
11
00
01
01
00
10
01
10
10
00
01
00
01
11
10
10
00
01
00
00
00
10
10
00
01
00
10
11
00
00
01
10
01
10
00
00
00
11
00
01
11
10
10
01
00
11
10
00
00
01
10
10
10
01
10
10
01
00
01
01
11
10
01
00
10
00
01
11
11
10
00
10
10
00
00
10
10
10
11
01
00
11
10
00
10
10
01
00
10
00
01
10
00
00
00
00
10
10
10
00
00
00
01
10
00
10
11
00
00
11
00
00
10
01
10
11
00
01
11
10
01
10
11
00
10
10
00
00
01
10
11
10
11
00
10
10
11
00
01
01
10
10
11
00
00
11
10
10
10
00
01
00
11
01
11
11
01
10
10
00
11
10
00
00
01
00
11
00
10
01
00
11
11
00
01
11
10
00
00
10
10
10
00
01
00
11
01
10
10
00
00
10
00
11
10
00
00
10
00
00
11
11
01
00
00
11
10
10
00
01
10
10
10
00
01
10
11
11
10
11
00
10
10
00
01
01
11
01
11
10
11
01
01
10
00
01
11
10
10
11
11
11
01
00
10
11
10
00
01
10
00
11
01
00
11
00
11
00
00
11
00
00
00
10
10
10
10
10
01
00
10
00
10
11
11
11
01
01
10
10
01
00
10
10
01
01
10
00
00
10
00
00
01
10
00
00
10
00
10
00
11
00
01
10
00
00
10
11
00
00
10
11
10
00
10
00
11
00
00
11
00
10
10
01
00
01
11
00
00
01
00
10
11
00
10
01
01
10
01
01
10
11
00
10
00
01
10
11
00
00
01
10
10
10
00
01
10
10
00
01
11
11
00
11
00
00
10
10
10
11
11
10
11
00
01
00
00
10
00
00
11
01
00
01
00
10
11
00
10
10
00
01
00
01
01
01
11
00
11
01
10
10
00
10
00
00
10
01
01
10
10
01
00
00
00
11
00
11
10
10
01
10
10
01
00
10
10
00
00
00
10
00
11
00
00
10
00
00
01
10
11
00
00
10
00
10
10
10
00
01
11
10
11
11
00
00
00
11
00
01
10
00
01
00
00
11
00
11
00
10
10
01
10
01
10
10
11
11
11
11
00
11
10
00
00
10
00
00
10
00
00
10
11
11
10
10
00
01
10
01
10
10
00
00
10
01
11
10
00
10
00
00
10
01
11
11
00
00
11
10
11
11
00
01
10
11
00
10
01
11
10
00
00
10
00
10
00
10
01
00
00
00
10
10
10
00
00
01
10
10
11
00
10
11
00
10
10
10
00
00
00
11
00
00
10
11
10
10
11
11
10
11
10
00
01
10
10
00
01
11
00
00
11
10
00
10
11
00
01
10
11
00
10
00
00
00
00
01
00
10
01
01
11
00
11
10
11
10
00
01
00
10
00
00
10
00
10
10
00
10
10
11
00
10
10
01
01
11
10
00
11
11
01
00
00
10
00
10
10
00
11
10
00
00
01
10
10
00
10
10
00
11
10
10
00
00
00
11
10
00
10
11
00
10
11
00
00
10
10
00
01
10
00
10
00
10
00
01
10
10
00
00
10
00
00
01
11
00
11
11
01
10
01
01
11
11
00
01
11
01
01
11
10
01
01
01
11
10
00
00
00
11
11
11
00
10
10
01
01
00
11
10
10
11
01
10
00
00
10
00
10
00
00
10
00
00
00
10
00
00
10
00
00
00
00
00
00
10
10
11
11
10
11
01
00
11
11
00
01
00
10
11
10
00
11
11
00
10
10
00
00
00
00
10
10
10
00
10
10
10
00
10
10
10
10
01
11
00
01
10
00
10
10
01
10
11
10
10
00
00
00
11
11
00
00
10
10
10
01
01
00
01
10
10
00
10
00
10
11
10
00
00
10
01
11
10
10
11
01
01
00
01
10
11
11
11
11
00
11
00
01
11
00
00
11
01
00
00
10
10
00
10
10
00
00
00
00
10
01
10
00
00
10
00
10
00
00
01
00
10
11
10
10
00
10
10
00
10
10
11
01
11
11
10
01
01
11
10
10
01
01
11
10
00
00
00
00
10
01
00
10
11
00
10
00
10
01
00
10
00
11
10
00
00
01
11
11
00
11
00
01
10
10
00
11
10
01
01
10
01
00
11
11
11
01
10
01
11
10
00
10
00
00
11
00
00
00
10
01
11
11
01
10
11
10
10
00
00
10
11
10
10
00
00
00
00
10
00
10
00
01
00
10
10
10
01
00
00
11
01
10
00
00
00
00
11
11
10
11
11
10
01
00
00
10
10
00
00
10
10
11
10
10
10
00
01
10
00
10
01
01
01
00
11
01
00
11
00
10
10
01
01
10
11
01
10
10
10
01
01
10
11
01
00
01
10
10
01
00
11
10
10
00
01
10
11
01
00
10
10
01
00
00
11
10
11
10
01
00
00
10
00
10
11
00
00
11
00
11
10
10
01
00
00
10
11
10
10
00
00
01
10
11
10
00
01
10
00
01
00
01
01
01
10
10
01
10
00
00
10
00
01
01
11
10
00
00
10
10
00
01
10
10
11
10
10
10
11
00
01
01
00
10
10
00
00
11
11
10
11
01
00
10
10
11
00
01
11
00
10
01
01
00
00
11
10
01
00
10
00
01
11
10
11
01
11
01
10
01
00
10
10
10
01
00
00
10
00
10
01
11
10
10
01
11
01
10
00
01
10
00
00
00
10
01
00
11
00
01
00
10
00
00
10
10
10
00
01
11
00
00
00
00
00
11
01
00
11
10
01
10
11
00
00
10
11
00
01
00
10
00
01
10
00
10
00
00
10
00
11
00
00
00
01
11
01
01
10
00
00
01
00
10
00
00
10
00
00
11
10
11
00
11
10
10
00
00
00
01
01
10
11
00
00
00
10
10
00
00
01
10
10
10
00
01
00
10
10
11
00
01
10
10
10
00
10
11
00
00
10
00
01
00
10
10
10
01
00
01
00
10
10
00
10
00
01
10
00
10
00
00
00
00
00
10
10
11
11
11
01
10
01
10
10
00
01
11
10
00
00
00
01
11
01
00
00
00
01
10
00
10
00
01
11
00
10
11
10
10
11
00
10
01
01
01
00
01
00
11
11
10
00
00
00
10
11
01
00
00
10
10
10
10
10
10
00
10
00
01
10
00
01
10
10
00
00
00
01
01
10
01
01
00
10
11
11
10
00
00
11
10
11
00
00
10
10
00
10
10
10
10
01
01
10
10
00
11
11
00
01
10
01
10
11
00
00
10
10
10
01
01
10
00
11
10
00
00
00
01
11
11
10
11
01
11
10
00
11
10
01
00
01
11
01
10
11
11
01
11
10
00
10
10
00
00
10
10
11
10
11
11
10
11
00
00
11
10
10
00
01
00
00
00
10
00
01
11
01
10
10
11
01
01
01
01
10
00
10
01
00
10
10
01
11
00
01
10
10
01
00
11
10
00
00
01
10
10
10
01
11
10
10
00
10
10
10
10
00
11
00
11
10
00
01
10
10
00
10
10
00
11
10
10
01
01
11
00
00
10
10
00
00
00
10
11
10
00
10
10
00
11
10
00
00
10
01
01
10
11
10
01
00
00
00
00
00
11
11
10
00
11
00
10
00
00
10
11
00
00
10
10
10
10
01
01
00
01
10
11
10
10
00
10
01
01
01
10
01
00
10
00
01
10
10
00
00
11
10
00
00
10
10
11
11
01
10
10
00
10
10
11
00
00
10
00
00
00
01
01
01
10
01
10
10
11
00
10
11
00
00
00
01
01
00
10
11
01
10
00
00
10
11
11
11
10
00
00
10
00
01
00
10
01
00
01
10
11
10
00
00
00
10
11
00
10
01
00
00
00
00
11
00
00
10
01
00
01
11
10
00
10
00
00
01
10
00
01
10
00
01
00
11
10
10
01
10
01
01
01
01
10
00
00
01
10
10
01
11
10
00
10
01
10
10
00
10
01
10
00
00
00
10
01
00
00
11
10
11
10
01
01
00
11
10
11
00
01
00
10
10
11
11
00
11
10
10
10
11
00
00
01
11
00
00
10
10
10
01
10
10
01
10
11
10
01
00
00
01
00
00
01
01
11
10
01
11
00
00
00
00
10
00
00
11
11
10
00
10
00
00
00
00
01
11
10
00
11
11
00
10
10
11
11
11
00
01
00
00
10
11
01
01
10
10
00
00
01
10
10
00
00
00
00
01
00
10
00
10
11
01
00
10
10
01
01
10
11
10
00
10
11
00
00
00
11
10
10
00
00
11
00
10
10
10
00
10
00
01
10
00
10
10
00
00
00
10
00
00
10
01
00
10
00
10
10
11
10
00
10
00
10
10
00
10
10
11
10
00
00
10
00
00
10
11
01
11
01
00
11
10
00
11
10
01
00
10
10
00
00
11
10
10
01
00
10
00
10
10
01
01
10
00
01
10
11
10
01
10
01
00
01
01
10
00
01
11
11
10
00
00
11
10
10
00
00
10
10
10
11
10
10
00
11
00
11
10
10
01
11
01
11
00
00
11
11
00
00
10
00
11
10
01
10
00
11
00
11
11
11
00
00
10
01
10
01
01
11
10
00
11
11
10
10
00
00
11
10
10
01
01
11
10
01
00
01
10
00
00
10
00
11
00
00
10
00
00
10
10
10
11
00
01
00
10
10
10
00
01
11
11
01
00
10
10
10
10
10
00
00
10
10
00
11
01
00
01
01
00
10
10
00
11
10
00
10
10
00
10
10
00
00
10
10
10
10
10
01
10
00
01
00
10
11
10
00
00
11
00
00
10
11
00
01
10
11
00
00
11
01
11
10
00
10
10
00
01
10
11
00
11
11
10
01
11
00
01
00
10
10
00
01
10
00
00
10
11
11
00
10
00
00
10
00
10
11
10
00
11
10
00
00
10
10
10
00
00
11
10
00
10
10
11
00
00
10
11
00
01
00
10
00
01
11
11
00
00
10
10
10
00
00
11
11
11
11
00
11
00
10
10
00
10
11
01
01
01
00
00
11
10
00
00
11
11
11
01
11
10
01
00
11
11
00
01
01
01
11
00
01
00
01
10
10
11
00
11
11
10
00
10
00
00
11
11
00
10
01
01
00
10
10
00
00
00
10
01
01
10
10
10
00
11
10
11
00
01
11
01
00
10
10
00
10
00
01
11
00
01
01
00
10
11
11
11
00
01
00
00
00
11
10
00
00
10
11
00
01
10
00
10
01
00
01
10
10
11
11
00
01
01
10
10
10
01
00
11
10
10
01
10
01
00
00
10
00
11
10
10
00
00
00
10
11
10
10
01
01
00
00
00
01
00
00
00
00
10
01
10
11
10
11
01
11
11
00
00
10
10
00
10
11
00
00
10
10
00
01
10
00
00
10
00
10
00
01
10
01
11
01
00
00
10
10
01
00
10
10
01
10
00
11
11
10
10
00
00
11
00
00
01
00
10
01
11
01
10
10
11
00
00
10
00
10
00
00
01
00
10
11
00
00
00
00
11
11
01
00
00
10
00
00
11
10
10
00
00
11
00
00
00
10
01
10
01
10
10
00
01
00
00
10
11
00
00
10
00
10
00
00
10
11
00
01
11
10
01
01
00
00
10
11
00
01
11
01
10
00
00
10
10
00
10
11
01
00
01
10
11
00
00
11
11
10
10
00
00
00
00
10
10
00
01
10
01
00
10
10
00
10
10
00
00
11
10
10
10
10
01
00
01
00
11
11
10
11
10
01
00
00
10
00
01
00
11
00
01
10
11
10
11
01
10
00
00
10
11
01
01
00
00
10
01
00
10
00
00
10
00
10
01
01
00
10
11
10
00
11
10
01
11
10
00
10
10
10
00
01
10
10
10
10
00
00
00
11
00
00
10
01
01
10
10
00
10
00
11
10
00
11
10
00
10
10
10
00
11
11
10
01
10
01
00
11
00
11
10
10
10
00
00
10
01
00
10
00
10
01
00
01
01
10
00
10
01
11
10
01
10
10
01
11
00
00
10
10
10
01
00
10
01
10
00
10
00
10
10
10
00
01
00
10
10
10
01
10
01
00
11
00
10
00
01
00
10
00
01
11
01
00
10
01
10
00
00
10
00
00
11
11
00
10
11
10
00
00
10
01
01
10
10
00
10
11
11
10
10
00
00
11
00
01
00
10
10
10
10
10
00
00
00
11
00
00
00
10
10
10
00
10
00
01
10
10
10
00
10
01
10
01
00
10
10
11
00
11
00
00
11
00
01
10
10
00
10
00
00
00
10
11
00
10
00
10
00
10
11
00
11
01
11
10
11
01
00
01
11
11
11
00
00
10
01
00
11
10
01
10
11
00
01
10
11
10
11
10
00
00
10
00
01
00
10
11
10
11
01
10
00
10
11
01
10
11
00
10
00
00
11
00
00
10
00
10
10
00
00
10
10
10
10
01
11
01
10
11
11
00
00
00
01
11
10
00
10
00
00
00
11
10
00
01
00
00
10
01
01
10
10
11
00
11
11
00
00
10
11
00
11
11
10
00
01
10
00
00
10
01
00
11
11
10
10
00
00
00
00
10
00
00
00
10
10
00
11
00
11
11
10
10
10
11
10
10
01
00
00
01
11
00
11
00
11
10
11
00
10
10
11
01
00
00
01
11
10
00
01
10
00
10
11
01
11
11
11
10
10
00
01
10
00
10
10
10
10
01
01
00
10
10
10
10
11
00
01
10
00
01
10
00
01
00
10
10
01
01
00
11
11
10
10
11
00
01
00
10
11
11
11
01
01
10
10
01
00
01
11
10
00
00
00
10
10
01
00
10
10
10
10
01
00
01
00
10
10
01
10
00
00
10
00
01
01
00
00
10
01
10
10
00
01
01
10
00
10
10
01
00
00
10
10
01
00
01
11
00
00
10
00
10
11
01
10
11
00
01
10
10
00
10
11
01
00
00
00
00
00
01
10
11
00
10
01
00
11
10
00
00
10
10
00
00
10
01
10
11
11
01
00
10
00
10
10
01
10
11
00
10
11
01
11
10
10
00
11
11
01
01
10
10
00
10
00
10
00
01
10
01
00
00
10
10
00
01
01
10
10
10
10
00
00
10
11
10
00
10
00
01
10
10
11
01
11
11
00
10
00
00
11
10
00
01
10
00
01
10
10
01
00
11
11
00
00
10
11
01
01
11
00
00
01
10
11
10
00
01
00
11
00
10
11
00
11
11
00
10
10
00
01
10
11
00
00
10
10
11
11
01
00
11
10
10
11
10
00
00
00
00
00
10
11
11
01
01
11
00
10
00
10
00
00
10
01
00
00
01
00
00
00
01
01
10
10
10
10
01
10
11
00
11
11
01
11
10
10
00
01
10
11
00
01
10
10
01
00
00
11
10
00
00
00
01
00
01
10
00
00
00
10
10
10
10
00
10
00
10
00
00
00
11
00
01
00
01
00
01
11
10
01
00
01
10
00
10
10
01
00
00
10
00
01
10
10
10
00
01
00
00
00
11
01
01
10
00
11
00
00
10
01
11
00
00
00
00
00
10
10
01
00
01
10
11
00
10
10
00
10
10
00
01
10
10
10
10
10
11
10
10
11
10
10
01
11
11
10
00
00
10
00
00
10
00
01
10
10
11
10
10
00
00
01
10
01
00
10
11
11
10
01
10
11
00
00
10
11
00
11
10
10
01
11
01
00
10
01
00
01
01
10
10
11
00
01
10
00
01
00
00
10
01
00
01
00
00
11
11
00
00
01
11
00
00
01
10
10
00
10
11
00
01
10
10
00
00
00
01
10
10
10
10
10
11
00
00
00
00
01
00
11
10
01
11
00
01
00
10
11
10
11
10
11
00
00
10
00
10
10
10
01
00
10
01
00
00
11
10
10
01
00
00
00
10
10
11
10
11
00
00
00
10
00
10
10
00
00
01
00
11
11
01
10
11
00
10
00
00
10
11
01
00
11
10
10
10
00
10
11
01
10
11
10
10
00
10
00
10
01
00
00
11
10
01
00
10
10
10
11
00
11
11
01
11
00
10
00
11
00
01
01
10
00
11
11
10
01
00
00
10
10
10
00
10
10
01
10
01
10
00
10
10
11
00
01
00
11
10
10
00
11
10
01
00
00
00
00
00
11
00
00
00
10
10
00
10
11
10
00
01
00
11
10
00
00
11
10
01
00
11
00
11
11
10
11
00
00
10
11
10
00
00
00
00
11
00
00
01
00
10
10
00
11
10
00
01
00
01
00
00
10
11
00
01
10
10
00
00
01
01
10
00
01
10
10
00
10
11
11
01
01
11
10
10
11
00
11
11
00
00
00
10
00
10
00
00
00
10
10
11
01
11
00
00
10
11
10
00
10
10
10
11
10
00
00
11
11
11
01
00
01
10
10
00
00
11
10
11
00
10
10
00
11
00
01
10
00
00
11
00
00
00
00
11
00
00
01
10
10
10
10
00
10
10
01
11
11
10
11
10
10
10
00
00
10
10
01
10
10
00
00
10
01
10
10
00
10
11
01
10
11
00
00
00
11
10
00
10
00
00
11
00
11
01
01
01
00
11
11
00
00
10
10
00
11
10
10
10
00
01
00
10
01
10
10
00
10
01
01
00
10
10
10
01
11
00
01
10
10
10
00
00
11
11
10
10
01
10
11
00
00
00
01
10
00
10
00
11
10
01
10
00
10
10
10
11
00
00
00
01
10
01
10
11
10
10
00
00
01
10
01
11
00
11
10
00
11
10
00
00
00
11
01
11
10
11
10
00
10
00
00
00
11
10
11
01
10
01
10
11
10
00
00
10
00
01
00
10
01
01
10
11
10
01
10
00
00
10
10
01
00
10
01
10
11
11
10
10
11
00
00
00
00
11
00
01
01
00
10
11
00
01
10
10
10
00
11
10
10
00
11
00
11
00
11
01
11
00
00
10
10
00
01
00
10
00
01
10
10
00
01
10
01
10
11
00
10
00
11
10
00
11
01
01
11
10
10
00
11
00
00
10
01
00
00
10
11
11
11
00
01
00
00
00
00
01
10
10
11
10
10
00
10
10
11
10
01
10
00
11
00
00
10
11
00
00
10
00
00
00
10
00
10
01
01
11
10
11
10
00
00
11
10
11
00
00
00
01
00
10
11
00
10
01
01
00
11
10
01
00
10
00
10
10
00
10
11
10
00
00
10
11
01
10
10
00
00
01
00
01
00
10
10
00
01
01
00
10
01
01
00
00
10
11
00
10
11
11
01
00
00
00
10
00
01
10
01
00
11
11
01
10
10
10
00
11
10
00
10
10
00
11
00
11
10
01
01
00
00
10
10
00
00
10
00
01
10
00
10
10
00
10
00
10
11
10
00
10
00
00
10
00
10
00
00
01
11
10
00
10
00
10
00
10
11
01
00
00
00
00
11
10
10
00
00
00
10
10
10
10
00
01
00
00
10
11
00
10
00
10
00
00
10
10
10
00
00
01
01
10
10
10
10
10
01
00
11
00
01
00
11
00
00
11
00
01
10
11
00
00
11
11
00
01
11
11
00
00
00
00
11
11
11
00
10
10
11
11
10
01
00
10
10
00
10
00
11
10
10
11
10
10
00
00
10
10
11
01
00
11
11
00
11
11
00
01
10
10
00
11
10
01
10
10
11
10
10
00
01
00
10
10
11
01
00
00
00
00
11
01
10
10
01
00
10
00
11
10
00
01
00
10
10
11
00
01
10
10
10
11
01
10
10
10
00
00
10
01
00
01
10
00
00
10
00
11
01
10
10
00
10
11
01
00
00
10
00
10
10
11
10
00
00
10
01
10
00
01
10
00
11
10
00
00
01
10
11
10
10
00
10
10
10
00
01
10
01
00
01
10
00
00
00
10
01
10
10
00
11
01
01
00
10
10
01
00
10
11
01
10
11
00
00
00
11
10
10
01
00
01
11
11
10
10
00
00
01
00
00
11
10
00
11
00
10
10
11
01
10
00
10
10
01
00
10
00
00
10
00
01
00
01
00
11
10
10
00
11
01
01
00
00
10
11
01
11
10
10
00
10
01
01
00
10
10
01
00
01
01
11
10
10
10
10
00
11
00
00
11
00
00
10
00
00
10
10
11
01
10
01
11
10
00
10
10
10
10
01
00
11
10
10
11
10
00
00
11
11
10
11
01
11
11
10
10
11
01
01
00
10
10
00
11
10
01
01
11
00
01
00
10
11
00
00
10
11
00
01
00
11
11
11
11
10
00
00
01
10
10
01
01
00
10
11
01
11
11
00
00
00
01
10
00
11
10
10
11
00
10
00
01
00
10
10
11
00
01
00
00
00
00
11
10
11
01
01
11
11
10
00
00
00
10
11
00
00
11
01
10
01
00
11
00
00
01
10
10
10
00
01
01
10
10
01
00
10
01
10
01
01
11
00
11
01
11
10
00
11
11
00
00
11
11
00
00
10
00
10
00
00
10
11
00
00
10
00
00
00
01
00
01
11
10
01
00
10
00
00
10
10
01
00
00
00
00
10
00
00
11
00
10
10
11
10
00
11
00
00
11
11
10
10
00
10
11
01
10
10
10
10
01
00
00
00
10
10
00
10
11
10
10
01
00
10
01
10
01
10
00
01
10
10
10
10
00
00
00
00
10
10
10
00
11
11
00
11
00
00
11
00
00
10
10
00
01
00
10
00
10
10
01
00
10
00
10
10
11
00
01
11
10
10
00
00
11
11
00
00
10
00
00
10
00
10
00
00
10
01
11
10
10
01
01
10
10
10
00
00
00
11
01
00
11
11
10
11
00
00
11
10
00
00
00
10
00
01
00
00
11
00
10
10
10
10
10
00
01
10
00
00
01
11
11
01
00
10
11
10
00
00
10
11
00
00
00
00
11
10
00
01
10
00
11
01
00
11
11
01
10
10
11
01
10
10
10
11
00
01
00
00
00
10
01
10
10
00
00
10
11
00
00
00
10
00
10
10
10
10
00
01
10
10
01
11
10
11
00
00
10
00
10
11
01
00
00
00
00
10
00
11
01
00
00
10
10
11
10
11
01
01
11
10
00
01
11
11
00
00
11
00
00
10
10
00
00
01
10
10
00
00
10
10
00
11
11
10
01
01
01
11
10
00
10
10
00
10
10
00
00
11
00
00
11
00
01
00
11
10
10
10
10
00
00
00
10
01
01
01
01
00
10
10
10
10
00
01
10
00
11
00
10
10
10
00
00
00
00
00
00
11
00
00
11
11
10
10
11
00
00
11
10
11
00
00
10
00
01
01
01
10
10
10
00
10
10
11
00
01
10
11
11
10
10
11
10
10
00
00
01
00
00
11
10
01
00
10
11
00
00
10
10
01
00
00
11
10
00
10
11
00
00
11
01
01
00
01
10
10
00
10
00
00
10
01
00
10
00
10
10
11
00
10
10
00
00
00
00
10
10
10
10
10
00
10
11
00
00
11
10
00
11
11
00
10
00
10
10
10
00
00
00
10
01
10
10
10
01
00
11
00
00
10
01
00
11
00
00
10
10
11
10
11
01
01
10
00
11
00
00
10
10
01
10
00
00
00
10
00
01
01
00
00
01
10
01
00
10
10
01
00
10
10
01
10
10
10
10
10
10
01
11
00
10
11
10
10
00
11
10
10
01
00
00
00
01
01
10
10
00
01
11
00
00
10
01
10
10
10
00
10
10
00
11
11
00
01
10
11
00
10
00
11
00
11
00
01
00
11
10
10
10
00
00
00
11
10
00
00
11
00
00
01
11
00
01
11
10
11
10
10
11
00
00
10
01
00
11
10
11
01
10
00
01
00
11
00
00
10
00
10
10
00
10
00
01
10
10
10
11
00
00
01
11
01
10
00
01
10
11
00
10
10
10
00
10
00
01
11
01
10
10
10
00
00
10
10
00
00
10
00
11
10
00
11
10
00
00
00
11
00
00
10
01
00
10
01
00
10
01
10
00
00
00
11
10
01
00
00
10
11
01
10
00
10
11
11
11
00
00
11
00
00
10
00
00
00
10
10
10
10
10
00
00
00
10
11
00
00
01
11
10
01
10
11
11
10
10
00
10
01
10
10
00
10
10
10
10
10
00
10
10
00
11
10
00
00
11
01
01
10
10
11
00
11
11
11
00
10
00
00
01
10
01
01
00
11
01
10
10
01
00
10
01
01
10
10
00
10
00
10
00
00
10
00
01
00
11
01
11
10
00
10
10
01
00
11
00
10
00
01
00
01
11
01
10
00
10
10
11
10
10
00
00
01
10
10
00
00
11
11
11
00
10
00
00
10
01
01
10
10
00
10
01
00
00
10
11
00
01
10
10
10
01
01
10
10
00
10
00
11
00
01
00
10
11
00
00
01
10
10
00
00
10
10
01
10
00
00
10
11
00
10
11
11
00
11
00
01
10
11
10
00
01
10
00
01
00
11
10
11
00
01
10
11
11
00
11
00
01
10
10
01
10
00
01
00
11
01
10
11
00
11
01
01
11
01
00
10
11
01
00
10
11
10
00
11
00
01
11
00
00
00
00
11
00
00
00
11
10
11
10
01
01
10
10
10
10
10
01
00
00
10
00
10
00
11
00
11
10
10
00
00
01
10
11
00
11
00
00
10
00
00
10
01
01
01
00
00
10
10
01
10
11
00
00
10
00
11
11
00
00
10
10
00
00
00
00
00
10
01
00
10
11
01
11
01
11
11
01
01
11
01
00
11
10
10
10
01
00
11
11
00
11
01
10
10
00
01
10
10
01
01
11
11
11
11
11
11
01
10
10
00
00
00
10
10
01
10
01
10
11
11
00
00
00
00
10
11
00
10
00
00
11
00
01
00
11
11
10
00
00
00
01
00
10
10
10
11
00
10
00
00
01
00
11
11
10
00
11
00
00
11
00
00
00
11
10
01
10
00
10
00
00
00
10
10
11
00
00
00
10
11
10
10
01
00
00
10
10
00
10
11
11
00
11
11
00
00
11
10
01
10
11
00
01
10
00
10
00
10
10
00
00
00
10
11
00
11
11
10
11
00
10
00
00
01
00
00
10
10
10
00
00
00
01
00
11
10
10
11
10
01
01
10
11
00
10
11
01
01
10
00
01
10
00
00
11
10
00
10
10
00
10
11
00
10
10
10
00
01
10
11
10
00
01
00
10
11
00
00
00
01
10
00
11
00
01
11
00
01
00
11
11
10
00
00
10
11
10
00
11
11
00
10
00
10
10
01
01
10
11
10
01
01
00
10
10
01
10
00
10
00
10
11
01
10
01
00
11
11
10
00
01
00
11
10
01
00
01
10
00
10
10
00
01
10
11
10
01
10
00
11
10
11
01
00
10
01
01
00
10
11
01
10
10
10
00
11
01
11
00
00
11
00
11
10
01
00
11
11
01
11
11
00
00
11
01
00
10
11
11
00
00
00
00
10
00
11
10
01
10
10
00
10
00
00
11
10
10
01
01
10
10
01
00
10
10
10
00
10
10
00
11
11
11
00
10
11
11
00
11
00
01
10
11
10
00
10
11
10
11
10
01
00
10
00
00
10
00
00
11
10
10
00
00
10
00
10
00
00
01
10
10
00
01
10
10
10
00
00
01
00
10
10
10
10
10
00
00
10
10
00
10
00
01
10
11
01
10
10
00
01
11
10
00
01
10
10
10
11
01
11
11
10
11
00
11
10
00
10
00
00
10
10
11
01
00
00
00
01
11
00
01
10
00
01
10
10
00
00
10
01
10
10
10
00
00
10
01
10
00
11
10
10
00
10
00
00
01
00
11
11
00
11
10
10
10
10
00
00
01
10
00
00
10
00
00
01
10
00
11
00
00
00
00
10
10
01
01
01
10
10
01
10
00
10
11
01
10
11
00
01
00
00
00
00
11
10
10
10
01
00
00
00
11
00
00
10
11
10
11
00
10
11
01
01
01
00
00
01
10
01
11
10
00
01
00
01
00
11
10
00
00
10
10
00
01
10
00
10
00
01
10
01
10
00
10
11
00
11
00
01
01
10
11
00
10
11
00
00
11
01
00
10
00
00
00
00
00
10
10
10
11
01
00
10
10
00
10
11
01
11
00
10
11
10
01
01
10
00
11
10
00
11
00
00
00
00
10
10
11
11
10
00
11
10
10
00
10
10
01
00
00
10
10
01
10
10
10
00
00
10
00
10
00
01
00
11
10
01
00
11
00
01
10
11
11
00
00
10
01
00
11
11
01
10
00
10
11
00
10
11
11
00
01
10
10
00
00
10
00
10
01
10
10
00
00
00
00
10
11
11
00
00
00
00
01
11
01
10
00
01
00
10
00
10
10
10
00
01
01
10
11
11
00
10
10
00
11
10
00
00
00
10
10
10
01
11
11
11
00
00
11
00
00
10
10
00
00
11
10
01
10
10
10
11
01
01
11
10
00
00
11
11
11
01
00
00
11
10
00
01
10
10
10
10
01
10
11
00
01
10
00
10
10
11
01
00
11
11
10
00
00
10
11
00
11
11
00
01
00
00
00
01
10
10
00
10
10
00
00
00
00
10
10
00
01
00
11
11
11
00
10
00
11
10
00
00
10
00
00
11
00
00
01
01
11
01
00
10
10
10
00
00
01
10
10
01
10
00
00
11
11
11
00
11
10
00
01
00
01
01
11
10
00
00
10
11
00
10
11
11
10
00
00
10
10
01
10
10
10
00
10
10
10
11
01
01
10
11
00
00
00
00
01
11
01
10
10
00
10
10
00
00
11
00
10
01
11
00
00
11
10
00
00
00
00
10
11
11
00
00
10
01
01
01
00
10
10
00
01
11
00
00
10
10
11
10
00
00
00
10
01
11
10
11
01
10
00
10
01
01
11
00
00
11
11
10
11
01
00
00
11
00
11
10
01
11
10
01
10
00
01
10
11
10
01
00
00
11
00
01
10
01
00
11
10
11
00
00
10
10
10
01
10
10
00
00
10
00
11
11
10
10
01
00
10
00
10
00
00
10
10
10
10
00
10
00
00
10
01
10
01
00
11
00
10
00
01
01
10
01
11
10
00
10
00
11
11
00
00
10
10
10
11
00
00
11
00
10
10
00
01
10
11
00
01
10
01
11
10
01
10
10
10
11
00
00
00
10
10
10
10
00
10
01
10
10
00
11
10
00
11
01
10
10
11
00
00
00
10
10
10
10
00
00
00
10
00
01
10
10
10
10
00
00
10
11
01
00
10
10
00
00
00
10
10
10
10
00
00
00
00
00
00
11
01
00
11
00
01
01
10
00
10
00
01
00
11
10
11
01
00
00
00
10
11
11
01
00
10
00
11
10
10
01
00
00
11
10
00
10
10
00
00
10
10
11
10
11
00
11
00
10
11
10
11
00
00
10
01
01
01
00
10
00
01
10
00
00
11
11
00
01
00
00
11
10
00
11
00
10
00
10
10
10
11
01
00
10
11
00
00
00
10
00
00
00
10
00
01
01
01
11
10
01
10
00
00
10
10
01
10
00
00
10
10
10
10
01
10
01
10
00
10
10
11
00
00
10
10
00
10
11
00
00
00
10
11
10
00
00
00
01
10
01
10
10
00
10
11
00
00
10
11
10
00
10
00
00
10
10
01
10
01
00
00
11
11
00
00
10
11
11
11
01
01
00
00
10
11
10
01
10
10
10
00
01
10
10
10
00
11
01
11
11
00
11
00
10
00
10
00
00
10
10
10
00
10
10
11
10
00
01
10
01
00
10
10
01
10
10
00
00
10
10
00
10
10
01
10
00
00
00
10
10
11
10
00
01
11
00
00
00
00
00
10
01
11
11
10
00
00
10
00
11
10
00
00
01
00
00
10
10
10
00
11
00
00
10
01
11
11
10
10
10
00
10
00
00
11
00
00
10
00
01
11
10
00
01
11
10
11
01
11
00
00
11
10
10
01
00
01
10
00
00
10
10
10
11
01
00
10
10
00
10
00
00
11
00
11
00
00
10
00
00
10
01
01
10
01
00
01
11
01
01
10
11
10
00
10
10
00
00
00
10
00
11
10
10
00
11
01
11
11
01
00
00
01
11
11
00
00
10
01
00
00
00
10
11
01
00
10
00
00
11
01
10
10
10
00
00
10
00
01
00
10
10
01
11
01
10
01
01
10
01
11
00
01
11
10
00
01
00
01
10
10
10
01
01
10
10
01
00
01
00
10
00
00
11
01
00
10
11
00
00
11
10
01
10
10
00
11
00
00
10
11
01
00
00
00
10
10
01
10
11
00
01
11
11
10
10
10
01
01
10
10
01
00
10
00
00
00
10
10
11
00
10
10
00
01
10
00
11
10
00
00
11
10
11
01
00
01
00
00
10
00
01
11
10
10
11
00
00
10
00
01
11
10
01
00
10
10
01
00
10
10
00
11
10
10
10
00
10
00
11
10
10
10
00
01
01
10
10
00
00
11
01
11
01
10
00
10
10
00
00
10
10
01
11
00
00
00
11
00
11
10
00
10
01
00
00
10
10
01
10
10
01
00
10
00
00
00
00
00
10
01
10
10
10
00
01
00
00
10
00
11
01
00
00
01
11
00
10
00
11
11
11
01
00
00
10
00
01
11
11
00
00
10
11
10
00
00
10
10
11
01
10
00
01
01
00
10
10
01
10
00
00
11
11
11
00
11
11
10
01
10
00
00
11
10
00
10
10
00
11
10
00
01
01
10
00
01
11
11
00
10
11
10
11
00
01
10
10
10
10
00
10
10
00
00
10
10
10
11
11
11
10
00
10
00
00
00
01
01
00
10
00
11
01
10
11
00
00
01
00
00
10
10
01
00
00
10
00
10
10
10
10
00
01
00
10
10
00
00
01
10
11
10
10
01
10
11
00
10
10
10
00
00
10
11
10
10
10
00
11
00
00
10
10
10
10
10
00
10
01
01
10
00
10
10
11
00
01
10
10
00
00
11
01
10
10
00
01
00
11
10
10
00
10
00
01
11
11
00
01
10
01
00
00
10
11
10
01
11
11
00
00
11
10
01
10
00
00
11
00
00
11
10
00
00
00
10
01
11
00
10
11
00
11
01
00
10
01
00
10
11
01
01
11
10
10
01
01
10
10
00
00
00
11
11
10
11
11
00
10
01
00
00
10
10
11
11
01
00
11
11
11
01
00
10
10
11
00
00
11
10
10
00
01
00
00
10
00
10
11
10
11
00
11
10
01
00
10
11
10
01
00
00
00
00
00
00
10
10
10
10
00
00
10
10
10
00
10
00
10
01
00
11
00
01
10
10
00
10
00
01
01
11
10
10
10
10
00
01
10
00
01
00
10
01
10
11
10
10
10
01
10
00
10
10
11
00
11
11
00
00
00
00
01
01
10
10
11
01
10
10
10
00
11
00
01
10
10
01
00
10
00
00
10
10
00
10
00
00
01
10
11
01
00
10
00
00
10
01
01
10
01
10
10
10
00
00
00
01
10
10
10
10
01
00
01
10
11
10
11
01
00
00
00
01
00
10
11
00
00
01
10
00
10
00
01
11
01
00
10
00
10
00
10
00
00
10
10
01
00
01
10
01
10
10
01
00
10
10
00
00
10
10
10
11
00
01
10
11
10
00
10
10
10
11
11
00
11
00
10
00
00
10
01
01
10
10
10
11
01
01
00
10
10
01
00
11
10
10
00
11
01
00
01
11
01
00
00
00
00
00
00
11
10
10
10
10
11
00
10
00
01
10
10
11
10
00
01
01
00
11
00
10
00
00
11
01
00
11
10
00
00
00
01
11
11
10
00
00
00
11
10
00
01
00
10
01
10
10
10
01
00
00
00
01
10
00
10
00
01
11
10
10
11
01
00
00
00
10
11
11
00
01
00
00
00
10
10
10
10
00
10
01
10
00
10
00
10
00
10
11
00
00
10
01
01
10
01
10
10
00
00
10
10
01
01
10
00
01
10
10
01
00
11
10
10
11
10
10
10
00
00
10
01
01
01
01
11
10
11
10
01
10
01
00
11
01
00
00
11
11
01
11
11
00
01
11
11
11
11
10
00
00
10
00
01
11
10
10
10
00
10
00
01
10
10
10
00
10
00
00
00
01
00
11
01
11
00
10
01
10
10
11
10
10
10
11
00
11
10
00
01
10
00
01
00
10
00
11
10
10
01
01
10
10
10
00
00
10
00
11
10
10
00
01
10
00
00
10
01
00
10
10
00
01
00
01
10
10
10
01
00
00
00
10
11
00
00
10
00
01
10
00
10
01
10
10
10
10
10
01
00
01
10
10
11
10
00
00
10
11
11
10
01
11
00
00
01
00
00
10
10
10
00
01
11
00
10
00
10
01
10
00
01
10
10
10
10
00
11
10
01
10
10
00
00
00
11
11
01
00
00
01
01
11
10
11
01
11
00
00
10
10
01
11
10
10
11
00
10
00
00
10
11
00
01
00
00
00
00
01
01
10
10
00
01
10
00
10
00
11
10
10
10
01
00
00
10
01
10
11
00
10
11
00
00
10
10
00
10
10
00
00
00
10
10
00
00
01
10
10
00
00
11
11
00
00
01
10
11
11
10
11
10
10
00
00
10
11
10
11
00
00
11
10
10
11
00
00
00
00
00
00
10
01
11
11
00
00
01
10
10
00
00
10
10
00
00
00
10
00
10
00
10
00
10
00
00
00
11
01
01
10
10
00
11
10
00
00
10
11
10
10
00
10
00
01
00
01
00
11
10
11
10
01
10
11
11
01
11
10
01
11
10
01
10
11
01
10
11
00
00
00
00
10
11
00
00
01
10
00
10
10
10
00
11
00
00
10
10
10
00
11
01
11
10
00
00
10
11
01
01
10
11
10
10
00
10
10
10
11
11
10
00
10
00
10
10
00
00
10
10
01
10
00
10
00
00
10
00
11
10
01
11
01
00
10
01
01
10
10
00
01
10
01
00
00
11
10
10
10
10
10
00
10
10
01
00
00
11
10
10
00
01
10
11
01
00
00
01
11
10
01
00
10
10
01
00
11
10
01
00
00
10
10
11
00
11
00
01
10
11
11
11
10
01
10
00
11
11
00
01
11
11
00
00
00
10
01
00
00
01
10
10
10
01
10
10
11
10
11
01
10
11
00
11
11
10
00
00
11
11
00
00
01
10
11
00
10
01
00
11
10
00
01
00
11
11
10
11
00
10
01
01
10
01
01
10
00
01
10
11
10
00
10
10
10
01
11
10
00
10
00
00
00
00
00
11
10
10
00
01
10
10
00
10
10
01
11
01
00
00
10
00
01
10
10
01
00
00
11
00
11
00
11
10
00
00
10
11
01
11
11
10
01
11
11
10
01
00
00
00
10
11
10
00
01
11
11
01
10
11
10
00
10
00
01
10
10
00
11
10
10
01
01
11
00
10
00
10
01
00
10
10
01
10
10
11
11
00
11
01
11
10
00
01
01
10
00
10
10
01
10
00
01
00
10
00
10
10
10
10
00
10
00
00
10
00
00
00
10
11
01
10
00
00
00
00
10
10
00
01
01
10
00
11
10
00
01
01
10
00
01
00
10
10
00
00
11
10
10
00
01
00
11
00
01
10
11
00
10
01
00
10
11
01
00
10
11
00
11
10
11
01
01
10
10
00
01
10
00
10
00
01
10
10
10
01
01
10
10
00
11
10
10
01
01
00
00
00
10
10
11
11
10
11
01
10
00
00
01
10
11
10
00
10
00
00
11
00
01
00
00
00
11
11
01
01
10
01
00
11
10
11
00
00
10
10
00
10
00
00
01
10
00
00
10
10
10
11
10
11
00
11
00
00
10
10
00
00
10
10
11
00
10
10
00
10
10
10
00
11
10
00
11
11
10
00
11
10
00
11
11
11
11
01
01
00
11
10
10
00
11
10
01
00
10
10
11
01
00
00
01
11
10
00
10
11
10
00
00
01
10
00
10
10
01
10
01
00
10
10
01
01
00
01
11
10
10
00
01
10
11
00
01
00
11
10
10
10
00
01
11
01
01
00
11
10
00
10
10
00
01
00
11
00
01
00
00
00
10
01
00
11
10
00
00
00
10
10
01
01
10
10
11
01
10
00
10
10
01
10
00
01
01
10
00
01
11
01
00
00
10
10
00
00
00
10
00
11
10
10
10
11
00
10
00
10
00
00
00
00
10
00
00
00
11
00
00
00
11
01
11
00
00
01
10
00
11
00
01
11
00
10
10
10
11
11
00
00
01
10
01
00
00
10
10
11
10
10
11
11
01
00
00
10
10
11
00
00
10
10
00
01
01
00
01
10
11
10
00
10
10
00
00
01
10
00
10
10
10
00
00
11
00
11
00
00
10
10
00
00
10
11
00
00
11
00
10
01
10
10
11
00
01
00
00
10
10
00
11
10
00
10
00
01
10
10
00
00
10
10
00
10
00
00
10
10
00
00
10
00
10
01
00
10
10
11
00
11
01
10
10
11
00
11
00
00
01
11
10
00
00
10
10
10
00
10
11
11
01
01
10
00
00
00
10
00
00
10
10
01
11
01
01
00
00
01
00
10
10
10
00
01
00
10
10
10
11
00
00
00
11
00
01
11
01
10
10
00
00
01
10
10
00
01
11
00
00
01
00
11
10
11
01
01
00
11
11
00
11
01
00
11
01
00
00
10
00
11
10
11
00
01
10
11
11
01
00
10
10
01
10
10
10
00
00
10
11
00
10
10
10
11
10
00
00
01
11
01
00
01
10
01
11
00
11
10
01
01
01
10
00
00
10
00
11
01
01
00
11
00
01
00
10
10
00
00
01
10
01
10
10
01
10
00
11
11
01
01
11
10
01
00
10
01
00
11
11
00
00
01
00
00
01
10
10
01
00
10
00
00
10
00
00
01
10
10
10
10
10
10
10
00
00
10
10
00
01
00
11
10
10
00
00
11
00
00
10
11
10
00
10
00
10
01
00
11
00
00
01
01
00
10
00
00
10
11
10
00
00
00
10
11
00
10
00
00
00
00
01
11
00
00
10
11
00
10
10
11
00
11
11
00
01
01
00
10
10
11
00
10
11
00
00
10
10
00
00
10
10
11
01
11
01
11
01
11
00
11
11
01
11
10
01
01
11
01
00
11
11
00
00
10
10
00
00
10
00
00
00
10
11
11
00
01
11
10
10
11
10
00
10
01
01
10
11
10
10
00
00
10
11
10
00
00
10
00
11
01
10
10
11
10
10
00
10
11
01
01
10
10
00
11
10
10
01
11
11
01
00
11
10
00
00
10
00
01
10
01
11
11
10
01
00
10
00
00
10
10
00
01
01
00
11
00
00
11
00
01
10
00
01
01
11
00
00
10
11
11
00
10
11
10
10
10
01
01
10
01
00
10
11
00
01
10
10
01
10
11
11
00
01
00
11
10
00
11
01
10
10
11
00
00
00
00
10
10
01
11
10
00
00
00
00
10
10
00
01
01
10
10
00
00
00
11
00
00
11
10
11
10
11
10
10
01
00
11
10
01
00
00
10
10
10
01
10
10
10
00
10
10
00
10
10
01
10
00
00
10
10
10
00
10
11
00
00
01
00
01
00
11
10
11
01
10
10
00
11
10
00
00
11
10
11
00
00
00
10
00
10
11
01
01
00
00
01
10
10
11
01
00
11
11
11
00
10
00
10
00
10
11
00
01
11
00
10
01
01
11
11
01
00
00
00
11
11
10
10
01
11
10
10
10
00
00
00
00
10
10
00
00
10
01
10
01
00
10
11
10
01
00
10
10
10
00
00
11
10
11
11
11
00
01
10
10
10
00
01
11
00
00
11
10
00
00
10
10
10
00
10
11
00
00
10
00
10
01
10
00
00
10
00
00
01
10
11
01
00
10
00
00
00
00
10
01
11
11
01
00
10
10
10
00
00
10
10
00
01
00
00
10
11
10
10
01
01
11
00
00
10
11
10
10
10
10
00
00
00
01
00
01
10
10
10
10
11
00
01
00
00
11
10
00
01
10
11
01
01
00
10
11
01
10
10
00
10
01
10
00
10
10
10
00
11
10
11
10
10
00
10
00
00
10
10
10
00
00
11
10
11
01
00
11
01
00
10
01
00
10
00
10
00
01
10
10
01
00
01
10
00
10
00
00
10
00
11
10
00
11
00
11
10
01
01
11
00
01
10
10
00
00
00
10
11
00
11
10
11
01
11
10
00
11
00
00
11
01
00
10
11
11
01
00
11
11
00
10
10
00
01
10
00
11
10
01
01
00
00
10
01
01
10
10
00
00
11
01
00
01
10
00
11
10
00
10
11
10
10
11
11
00
00
01
00
01
11
11
00
11
01
10
10
10
00
00
10
00
00
10
00
10
01
11
11
00
00
00
10
11
11
00
11
00
11
11
00
11
01
00
10
01
11
00
11
10
00
00
11
01
10
00
00
01
10
01
00
10
10
10
10
00
00
11
10
01
10
00
11
00
00
10
00
01
11
10
00
00
11
00
00
10
11
01
01
10
10
11
00
10
10
01
00
00
10
01
10
01
01
10
10
10
10
01
01
00
00
10
01
00
10
10
10
10
01
01
10
00
00
00
00
10
11
10
11
00
11
10
10
10
00
00
10
10
10
00
00
00
10
01
10
00
00
10
10
11
00
00
00
10
10
10
00
00
11
11
10
00
00
00
00
01
10
11
00
00
11
10
01
10
00
00
01
10
00
11
11
11
11
10
00
00
10
00
00
10
10
01
11
01
11
01
00
00
10
11
10
10
01
01
10
10
11
00
01
10
00
11
10
01
00
00
10
10
10
00
11
11
11
00
00
01
10
10
11
00
00
11
11
10
00
00
11
10
11
00
01
10
10
11
00
00
11
10
00
11
10
00
00
00
11
00
11
01
01
00
10
10
10
00
00
01
10
11
00
00
10
01
00
11
10
00
10
11
00
00
00
10
10
00
01
11
01
10
10
00
01
00
11
00
10
11
10
10
01
00
10
00
01
00
01
01
10
00
10
00
10
00
00
11
00
00
00
10
10
00
00
10
00
00
00
00
00
10
10
00
10
10
01
10
11
00
00
11
10
01
00
11
10
11
01
01
11
00
10
00
10
10
10
10
00
11
11
00
00
00
00
00
10
10
01
11
10
01
10
01
10
10
00
00
10
11
01
11
01
00
10
00
01
11
01
01
11
10
00
10
00
00
10
10
01
00
11
10
10
11
01
00
10
00
00
10
00
01
00
11
10
10
00
01
00
00
00
10
10
00
10
10
00
01
00
10
00
10
00
00
00
01
01
11
11
01
00
00
00
11
10
00
00
10
11
10
10
10
10
01
11
11
01
00
11
10
01
11
00
10
11
00
00
11
10
00
11
11
00
10
11
00
10
00
00
10
10
01
11
00
10
10
00
10
01
00
10
10
11
11
00
00
00
11
10
00
10
00
00
11
11
10
10
01
10
00
00
01
11
01
00
01
01
00
10
10
11
11
10
01
00
11
11
00
01
10
01
10
01
10
00
00
10
11
10
11
10
10
01
01
11
00
00
10
00
10
00
10
01
00
11
10
11
00
00
10
11
00
01
10
10
11
11
11
11
00
00
00
10
00
11
10
00
01
01
00
11
10
00
00
00
11
00
01
10
00
00
11
10
10
10
01
00
00
10
00
11
11
10
10
01
10
00
11
10
10
00
11
00
01
10
10
00
10
00
01
11
10
00
00
01
00
10
00
11
10
00
10
00
00
00
11
11
10
01
10
10
01
00
11
11
10
01
00
10
00
01
01
11
00
01
10
00
11
10
10
00
01
10
01
10
10
01
11
00
01
00
11
11
00
10
00
10
10
10
10
01
10
01
00
11
11
00
01
10
01
00
01
10
10
11
01
10
10
10
00
11
10
00
00
01
10
11
00
10
00
00
10
01
10
10
00
11
11
00
01
11
10
11
10
01
10
01
00
10
10
00
00
10
00
10
10
00
01
00
01
11
00
10
10
01
00
10
10
00
11
00
10
11
00
11
10
00
00
10
10
00
10
10
10
10
10
01
00
00
10
10
00
00
01
10
01
00
00
10
11
10
11
00
00
11
10
01
11
11
01
10
00
01
10
10
10
10
01
01
00
01
00
10
10
11
00
00
10
00
01
00
10
11
00
11
00
10
10
11
10
00
10
10
00
11
10
01
10
10
11
10
01
10
11
00
11
11
00
01
10
00
00
10
10
00
00
10
10
01
01
00
01
11
00
10
10
01
10
10
00
01
10
00
11
11
10
01
10
10
00
00
00
10
10
01
10
10
10
10
10
01
10
11
10
00
00
10
00
00
10
11
00
01
10
01
01
01
00
10
01
00
10
01
00
10
11
00
00
11
11
01
10
01
11
01
01
00
00
01
10
10
01
01
11
11
00
11
01
10
11
00
01
00
10
10
10
10
00
01
11
00
01
00
11
00
10
01
00
10
11
11
01
00
10
11
00
01
00
11
10
10
00
00
01
10
00
10
10
00
00
10
00
10
00
10
10
00
01
00
10
01
10
10
00
10
10
10
00
10
10
10
11
00
10
00
11
00
10
11
10
01
10
01
00
00
10
10
10
00
00
10
10
10
00
00
01
10
10
00
11
00
10
10
00
00
10
11
01
00
01
00
10
10
10
10
10
00
00
01
00
00
01
11
01
10
11
00
01
00
00
10
10
10
10
00
00
00
00
00
01
01
00
00
11
10
10
00
11
11
00
10
11
01
10
10
10
10
00
00
01
10
11
00
00
11
01
11
00
00
10
00
10
10
00
01
10
10
00
10
00
10
10
10
00
01
10
00
00
00
11
00
00
01
10
10
00
10
01
00
11
10
00
00
10
10
10
10
00
11
10
00
00
00
00
00
00
10
00
00
11
11
00
01
10
11
01
01
00
00
10
11
10
10
00
00
10
10
00
00
10
11
10
10
10
01
01
11
00
11
01
11
11
00
01
00
11
10
10
00
10
10
10
00
01
10
00
11
01
01
01
10
00
10
11
01
10
00
00
10
11
00
00
11
11
01
01
10
00
10
00
00
11
10
10
10
00
00
11
11
10
11
00
01
00
11
01
00
01
10
10
00
00
10
01
11
10
00
00
10
11
11
00
10
10
00
11
10
00
01
00
00
00
01
10
11
01
01
10
00
01
10
11
00
00
00
10
10
10
11
01
11
00
11
00
00
00
10
10
00
11
10
00
00
00
11
10
00
10
10
00
10
01
00
00
10
11
11
10
11
00
01
11
00
10
11
10
01
00
11
00
11
10
01
01
10
00
11
10
00
10
01
00
00
01
11
00
11
10
00
10
00
00
10
11
00
01
10
00
00
10
10
10
10
00
10
11
10
00
00
10
00
01
11
01
01
10
11
01
10
10
11
10
00
00
11
00
11
10
00
01
00
01
10
00
00
00
00
10
10
00
00
00
00
10
00
00
01
01
01
00
11
01
01
10
11
11
01
01
00
11
00
01
10
00
10
10
00
01
11
10
00
11
00
11
00
01
10
00
10
10
00
00
00
10
10
01
01
00
00
10
00
00
00
00
10
01
00
11
10
10
11
00
10
01
11
10
01
10
00
10
00
00
10
10
01
10
00
10
01
01
11
10
00
10
10
00
00
00
10
10
11
11
00
10
10
01
01
01
10
10
00
10
10
00
01
10
11
10
10
10
10
10
10
10
00
00
11
11
00
00
00
10
00
11
01
10
10
11
11
00
11
00
10
00
01
10
00
11
00
10
00
10
10
10
11
11
11
10
00
01
11
00
10
11
00
10
11
10
00
10
00
01
11
11
01
10
10
10
01
01
01
10
01
00
01
10
10
10
00
10
00
10
10
11
10
01
00
01
01
10
11
11
00
00
10
11
10
00
01
10
10
00
01
10
11
00
00
00
00
10
10
10
10
01
01
10
00
10
00
10
10
00
00
10
10
11
00
10
00
10
10
11
11
00
11
10
01
11
01
00
11
00
00
10
10
10
00
10
00
10
11
00
01
00
11
00
00
01
00
01
11
00
00
01
10
11
11
00
10
10
10
00
01
11
10
00
01
10
10
01
00
01
11
10
11
00
10
00
10
10
00
11
10
11
00
10
00
00
11
01
00
10
00
01
00
11
11
00
00
01
00
01
01
01
00
00
11
10
10
01
00
10
10
10
00
00
10
10
11
10
00
10
10
00
01
10
01
00
00
11
01
11
11
00
00
10
01
01
01
10
10
00
00
11
00
10
00
00
10
00
10
10
00
00
10
11
10
01
11
00
01
11
01
00
00
10
00
01
00
10
10
11
10
10
00
01
00
01
10
11
00
11
10
11
10
00
11
10
11
00
01
10
11
10
01
00
10
00
00
10
01
01
10
00
01
11
01
00
10
10
10
10
11
00
10
10
10
10
11
11
01
10
10
10
10
10
00
01
11
01
01
01
00
00
10
10
00
00
10
11
10
00
01
00
01
00
10
11
01
00
00
10
10
10
00
00
00
10
10
00
10
10
10
10
00
10
00
00
10
01
00
00
01
10
10
00
00
10
00
00
00
00
11
10
01
11
10
00
00
10
11
00
00
11
00
10
10
11
00
00
10
00
10
01
00
10
00
00
10
11
11
10
00
10
10
11
10
00
10
10
10
00
00
10
10
10
01
01
11
10
00
00
10
11
11
10
11
01
00
10
00
10
10
00
10
11
01
00
11
00
00
01
10
10
00
01
01
10
00
01
11
00
01
11
10
01
11
00
11
01
10
01
01
11
00
00
00
01
00
11
00
00
10
01
01
10
11
01
10
11
00
01
10
01
00
10
00
01
10
10
10
11
10
10
01
01
10
00
01
10
01
00
10
10
00
10
11
00
00
10
10
11
01
10
00
11
11
10
10
01
00
10
11
10
10
01
11
10
00
11
00
10
00
00
11
01
11
10
01
11
11
01
00
10
10
00
00
11
10
01
00
01
00
10
10
00
10
10
11
10
00
01
11
01
01
00
10
10
10
11
00
00
10
11
10
10
00
00
00
11
01
00
10
10
00
01
00
00
11
10
10
11
00
10
10
11
11
11
10
10
00
10
10
10
01
01
10
01
01
10
00
10
10
01
00
10
10
10
00
10
10
01
00
01
00
10
01
10
10
00
10
10
11
00
00
01
10
00
10
10
00
10
10
00
10
00
10
11
00
01
01
10
11
00
10
11
00
00
11
11
00
10
10
00
01
00
00
11
00
11
00
10
00
00
10
01
00
10
10
10
00
11
00
10
10
11
10
01
00
10
01
10
01
00
10
11
01
01
00
10
01
00
10
10
11
11
00
10
00
10
01
00
01
10
00
10
00
01
10
01
00
10
10
10
10
00
10
10
10
01
10
10
00
01
01
10
01
00
01
00
00
11
10
11
10
10
00
10
10
01
00
11
00
00
11
01
00
00
00
10
10
00
01
00
10
00
00
00
10
10
10
00
00
10
10
10
10
00
01
10
11
11
01
01
00
10
00
00
11
01
00
10
10
10
10
00
00
10
01
01
10
10
00
10
10
10
10
11
01
01
01
00
10
00
01
00
10
11
00
00
10
01
10
01
01
10
01
00
00
10
11
01
00
10
00
10
00
01
00
00
11
00
11
10
00
10
11
10
00
00
10
10
00
10
01
01
00
00
10
10
10
11
01
00
11
00
11
01
10
10
10
00
01
00
00
10
00
10
11
10
10
00
00
10
00
00
11
10
01
00
10
10
10
00
11
10
00
01
01
11
11
01
01
01
00
10
00
01
10
10
10
00
11
10
00
00
00
00
00
00
00
10
01
00
10
10
00
01
11
01
01
01
00
00
00
11
10
00
00
11
00
11
00
11
10
01
10
10
11
00
00
01
10
01
10
10
01
11
10
01
00
10
11
10
00
00
00
10
10
10
00
11
10
00
01
11
01
10
10
10
10
10
10
01
00
10
11
11
10
10
00
10
10
01
10
11
10
00
10
01
10
11
00
00
10
00
10
10
00
01
10
00
01
10
00
11
10
10
00
01
11
11
00
01
00
11
01
11
11
00
01
11
11
00
01
10
10
00
00
00
10
00
00
11
00
00
00
00
10
11
00
10
10
00
11
11
10
01
00
00
00
00
11
10
01
11
01
00
10
10
00
00
01
01
10
01
10
10
10
01
00
10
00
00
00
11
10
00
00
10
11
10
00
11
10
10
11
01
01
00
11
10
11
01
00
00
10
00
01
11
01
00
01
10
11
00
01
10
11
10
00
10
10
00
01
00
11
00
01
10
00
00
11
11
10
10
00
01
00
10
10
00
00
11
00
01
00
10
01
10
10
11
10
00
01
01
10
10
11
10
00
01
01
10
01
11
10
11
00
00
10
01
11
11
01
10
10
01
00
01
00
00
10
10
11
00
01
00
00
10
00
00
11
10
01
10
00
01
10
01
00
11
10
00
10
01
10
10
11
00
00
00
00
10
11
10
10
10
00
11
01
10
11
00
00
00
00
11
00
10
10
00
01
10
00
10
01
10
01
10
10
10
10
00
00
01
10
00
10
11
10
10
10
00
10
00
10
00
10
11
11
10
11
00
00
10
00
10
00
00
11
01
00
11
10
00
00
10
01
10
10
00
10
10
01
10
10
00
10
10
01
01
00
10
11
11
00
11
10
00
11
11
01
11
10
10
11
01
00
10
10
00
00
00
00
10
10
10
01
10
10
11
00
11
10
11
00
10
01
10
10
00
01
10
10
00
00
00
11
10
01
00
10
01
00
01
11
10
00
00
10
01
00
11
10
01
00
11
00
00
00
10
01
00
00
11
10
11
10
00
00
10
11
00
10
10
00
00
10
01
01
00
10
01
10
10
10
10
11
01
00
00
00
10
10
10
11
00
01
00
11
10
00
11
01
00
00
10
10
00
01
10
10
00
00
11
10
00
01
10
00
00
00
11
11
00
00
00
00
00
00
01
11
11
10
01
00
00
10
11
10
01
00
10
01
10
01
10
10
00
10
10
11
10
00
00
11
00
10
00
11
00
10
10
00
00
10
10
00
00
00
00
10
00
10
00
00
11
10
10
11
01
01
01
10
10
10
10
11
11
10
00
10
00
01
01
00
11
11
00
00
10
01
10
01
01
00
00
11
00
01
10
11
10
10
01
00
01
10
00
00
00
10
10
10
00
11
10
10
00
11
10
10
11
00
00
11
00
00
11
11
11
01
00
10
10
00
10
10
00
00
00
11
11
00
10
00
11
11
00
10
00
01
10
11
10
10
00
10
01
00
00
01
11
10
10
01
11
11
10
10
01
01
01
10
11
01
00
11
10
00
00
10
10
10
11
01
00
00
01
10
10
10
00
01
10
10
11
00
01
10
00
10
01
01
11
10
00
10
11
10
00
00
10
00
01
11
11
10
00
00
01
10
01
00
11
10
10
01
00
10
00
11
10
11
01
00
10
10
10
01
10
11
11
11
11
01
11
01
01
10
01
01
10
11
11
10
01
10
00
01
10
10
00
10
00
10
11
00
10
10
00
11
00
00
01
01
00
00
11
10
10
00
11
10
11
00
10
10
00
10
01
00
11
01
01
00
00
10
10
00
01
10
10
00
01
01
10
10
00
11
10
11
00
01
10
10
10
10
10
01
10
00
00
10
00
10
10
11
11
11
01
10
01
00
01
00
11
11
00
00
10
00
00
01
11
00
00
00
10
00
10
10
10
00
10
10
01
11
11
00
11
10
00
00
01
00
10
10
00
00
10
00
00
00
10
00
00
10
00
10
01
01
10
10
10
01
00
10
00
11
11
00
10
00
00
11
11
10
00
10
10
01
10
10
00
11
01
10
10
00
01
11
10
00
01
10
10
01
01
10
10
10
01
01
10
00
10
11
00
00
00
00
10
11
11
11
01
00
10
10
00
10
00
10
10
00
00
10
01
00
01
10
00
10
00
11
10
01
00
10
10
10
11
00
00
00
01
00
00
10
00
10
10
10
00
01
01
10
00
11
10
01
11
00
11
00
10
00
10
10
00
00
00
01
10
10
00
10
11
11
00
10
01
10
00
01
10
11
10
11
00
00
10
00
10
00
10
11
10
00
00
11
00
00
10
10
11
10
01
11
00
10
10
00
00
00
10
10
00
10
10
11
01
10
10
00
01
10
01
01
01
00
11
00
01
10
10
00
00
00
10
10
00
01
00
00
10
01
10
11
00
10
00
01
01
10
01
01
00
10
10
10
11
10
01
01
10
10
00
00
00
01
10
00
00
10
00
00
10
01
00
11
11
00
10
10
00
11
10
00
01
01
11
01
01
01
00
11
01
10
10
00
10
10
00
00
10
11
01
00
00
11
10
01
10
10
00
10
10
00
00
11
10
10
00
10
00
01
11
00
11
10
01
11
00
10
10
10
00
10
10
00
00
10
11
11
00
01
10
00
10
10
00
00
10
10
11
01
10
00
00
01
10
01
10
11
10
00
00
11
00
00
01
10
10
00
10
00
00
00
10
10
10
10
11
00
01
10
01
00
11
00
01
01
10
10
01
10
11
11
00
01
11
11
00
00
11
01
10
10
01
10
10
00
10
10
10
00
10
01
10
01
00
01
10
11
00
00
01
10
00
01
00
11
10
01
00
10
11
10
00
00
01
10
10
00
10
11
10
00
10
10
00
00
00
00
10
11
00
00
00
11
11
10
01
11
10
01
01
01
00
01
10
10
00
10
00
01
01
11
10
00
00
00
11
00
00
10
00
11
11
11
01
00
10
01
01
00
00
00
10
01
00
10
10
10
00
10
00
10
10
11
01
00
00
10
00
01
00
00
00
11
00
11
11
00
10
10
11
10
10
00
10
11
00
11
00
01
00
01
10
00
10
11
10
00
10
00
00
11
10
10
01
00
00
00
10
10
10
01
00
11
00
01
10
00
00
01
00
10
00
00
10
10
01
10
00
00
00
10
00
10
11
00
00
00
00
10
10
00
01
10
11
00
01
11
10
00
01
10
10
00
00
10
10
10
10
00
01
00
11
01
01
11
00
00
11
10
11
10
00
00
11
00
01
00
10
00
10
10
01
00
10
10
01
00
11
10
01
10
00
01
01
00
11
00
01
00
11
10
01
10
10
10
11
10
00
11
10
01
01
00
10
10
10
10
00
10
01
01
01
01
01
10
10
10
00
00
00
11
10
00
00
11
10
01
10
00
11
00
00
10
11
00
11
10
10
00
00
11
00
00
10
00
11
01
10
00
00
11
01
11
00
11
00
00
00
10
11
00
10
01
00
11
10
01
00
10
00
00
01
10
00
11
10
10
01
01
00
01
10
11
10
11
00
00
00
00
10
10
00
11
10
01
01
10
00
01
01
11
00
01
00
10
10
11
10
01
11
10
11
00
00
11
10
00
10
01
01
11
11
00
01
11
00
10
10
01
00
01
11
10
11
00
10
10
10
00
01
00
10
01
01
00
00
01
11
00
00
10
00
00
11
10
00
11
10
00
00
11
10
10
00
01
10
00
11
01
00
00
10
10
00
10
00
10
10
10
00
11
01
00
10
10
00
00
00
00
11
01
00
00
10
10
10
01
00
10
10
00
00
00
11
00
00
00
11
10
10
00
00
00
10
01
01
11
10
00
00
10
11
00
11
11
01
10
10
11
00
01
10
00
00
11
00
00
00
10
11
10
10
01
01
00
01
10
11
10
00
10
10
10
00
00
10
00
10
01
10
01
11
01
00
00
01
10
11
10
00
00
10
11
11
10
00
10
00
11
00
10
00
01
00
01
10
10
01
00
00
00
10
10
01
00
01
11
11
00
11
00
00
01
10
11
00
00
10
00
00
00
00
10
10
10
11
00
10
10
00
10
01
10
10
00
00
11
00
00
00
00
10
10
10
11
11
00
00
00
00
10
11
00
00
11
10
01
11
10
10
11
00
00
00
10
10
00
00
00
00
01
00
11
10
10
00
00
11
00
10
11
01
00
11
00
00
11
00
10
01
00
11
11
01
10
11
10
10
11
00
11
10
01
01
00
00
00
10
10
11
01
11
10
11
11
00
11
00
00
11
10
01
10
10
00
00
01
00
01
10
11
00
01
00
11
10
11
10
01
10
00
01
10
11
10
10
00
00
00
01
00
10
10
10
11
01
01
00
11
11
00
01
11
10
01
10
10
10
11
10
00
11
11
00
10
00
00
00
10
10
10
00
00
10
10
11
10
11
00
10
10
00
01
11
10
00
00
01
10
11
11
01
11
00
01
10
10
00
00
01
10
10
10
11
10
10
00
10
00
00
00
10
10
10
10
01
01
10
00
01
11
01
00
01
10
00
00
01
10
11
01
00
00
10
10
10
10
01
00
11
10
00
10
10
11
10
10
01
10
10
11
00
01
10
00
10
01
00
01
11
10
00
11
10
10
10
00
00
10
01
10
10
00
10
10
01
00
00
10
10
00
11
00
10
11
11
10
10
00
01
00
10
10
01
01
00
01
11
10
00
10
11
00
01
10
01
10
10
10
00
00
10
10
00
01
00
00
10
10
11
10
10
00
00
10
10
01
01
10
10
00
11
10
00
00
00
11
10
01
10
10
11
00
10
01
10
11
01
00
00
00
10
01
00
11
10
01
10
11
10
11
01
00
10
01
11
11
11
00
10
10
00
11
10
00
00
00
11
10
10
00
10
00
00
11
00
01
11
11
11
00
01
00
11
10
01
00
01
10
10
10
10
01
10
11
00
10
10
00
10
10
11
01
00
10
00
10
01
01
10
10
01
01
00
11
10
00
10
00
10
10
10
00
00
10
10
00
10
10
10
01
00
11
10
10
10
00
10
00
10
10
11
01
00
00
11
11
00
11
00
01
10
10
10
00
01
11
10
11
00
01
00
01
10
11
00
00
00
10
00
00
10
01
00
10
00
01
01
00
00
01
01
00
00
10
00
01
00
10
10
00
01
10
10
01
00
01
10
11
10
11
10
01
10
00
11
10
00
00
00
10
11
00
01
00
10
00
11
10
00
10
10
00
00
01
10
00
10
10
00
10
00
00
10
10
10
01
01
00
10
11
00
00
11
10
10
00
10
11
10
10
00
01
00
10
00
01
10
00
10
10
01
00
10
11
10
10
11
00
00
01
11
00
00
01
11
00
01
11
11
00
11
01
00
00
10
10
10
00
00
00
11
00
00
00
01
10
11
10
01
11
10
01
00
11
11
00
11
10
00
00
01
00
10
10
00
00
10
00
00
10
00
10
10
10
01
10
00
01
10
00
01
10
01
00
11
11
00
00
10
11
01
10
11
10
00
00
10
10
00
00
10
00
10
11
00
01
10
00
01
00
00
01
10
11
11
01
10
10
10
00
10
10
00
00
00
10
10
10
10
10
00
00
01
10
00
00
11
00
00
10
11
10
00
11
00
00
10
00
01
00
10
00
10
00
11
10
11
11
01
00
01
11
10
01
00
10
00
01
10
11
00
01
10
00
10
01
01
01
10
10
00
00
00
00
11
11
01
01
11
00
00
11
00
00
10
11
00
01
10
11
10
10
10
00
01
01
11
11
10
11
00
00
11
11
00
00
10
10
00
00
10
00
10
10
11
00
01
01
01
10
10
10
10
00
11
00
01
10
11
10
01
11
00
00
10
10
00
10
11
10
00
01
10
10
01
10
01
10
10
11
10
00
01
00
11
10
00
00
00
01
11
10
00
00
10
00
10
11
00
01
10
01
01
10
00
11
10
10
10
00
10
10
00
11
10
01
00
11
10
11
10
10
00
00
10
00
01
10
11
00
10
00
10
00
11
01
00
00
10
00
01
01
01
00
10
10
00
11
00
11
10
00
10
10
00
00
10
10
00
01
01
10
10
00
00
10
00
10
10
10
00
00
00
11
10
10
00
01
10
10
00
01
10
10
00
10
11
01
10
11
01
01
01
01
01
01
11
10
10
00
00
11
11
10
11
00
00
11
10
00
10
00
01
11
10
01
10
10
00
01
10
11
00
01
00
00
11
11
11
01
00
10
10
01
00
00
11
10
01
00
11
00
01
11
11
00
10
10
00
00
11
11
00
10
00
01
00
00
11
11
01
10
10
11
01
00
00
00
00
00
11
10
00
01
10
11
01
11
00
00
00
11
10
01
10
11
00
00
11
10
00
01
10
00
10
11
10
00
01
10
10
10
10
01
01
01
11
10
11
11
00
00
10
11
01
10
10
00
11
10
10
10
00
00
00
11
00
10
00
11
00
00
10
00
01
01
11
10
11
10
00
10
10
00
00
10
11
10
00
00
10
10
00
00
10
01
00
00
10
10
10
00
01
10
00
00
00
11
10
10
00
10
11
11
10
01
00
00
10
11
00
10
11
01
10
10
10
11
01
10
10
00
11
10
11
10
01
00
11
11
00
10
10
11
01
00
11
11
00
01
10
00
01
10
11
00
01
10
01
00
10
11
00
00
10
00
00
10
11
00
01
10
10
00
01
10
01
11
11
10
01
11
10
11
10
00
00
10
11
10
01
00
00
00
01
10
10
01
00
00
00
10
10
00
00
01
10
11
01
10
10
10
10
11
01
00
10
00
10
10
00
10
00
00
11
00
11
01
00
00
11
00
00
11
00
10
01
00
10
01
10
11
00
00
11
10
00
00
01
10
00
01
00
01
10
00
10
00
00
10
10
00
01
11
01
10
00
00
11
00
01
10
11
00
01
00
10
01
10
00
00
00
10
00
00
00
11
10
10
11
10
10
10
10
11
10
10
01
10
10
11
00
01
00
10
00
10
10
00
01
10
10
10
10
10
00
10
10
00
10
00
10
10
11
00
01
01
11
10
00
10
10
10
00
11
01
01
00
10
10
00
10
01
00
10
10
10
10
01
10
10
11
01
10
11
11
10
01
11
01
10
00
01
11
00
00
11
11
01
10
00
10
10
10
11
00
01
00
00
10
10
00
00
10
10
00
10
00
01
11
00
10
01
00
10
11
11
01
11
10
10
00
00
11
01
00
00
10
10
00
11
00
00
10
11
10
00
00
10
00
00
10
00
10
10
11
00
01
00
10
10
10
10
10
01
11
11
01
10
01
10
00
00
10
00
11
10
00
00
11
10
11
01
11
10
11
00
11
00
01
10
11
00
11
00
00
00
10
11
11
11
00
01
01
11
01
11
10
00
00
01
10
10
01
01
00
11
11
00
00
10
10
10
00
00
11
01
10
00
00
01
00
10
11
11
00
11
00
10
00
11
10
10
10
00
10
10
10
00
10
11
00
01
01
10
11
01
01
11
01
00
10
11
00
01
10
11
00
10
10
10
00
11
00
00
00
10
01
10
00
01
10
10
11
00
11
10
00
01
10
10
10
10
10
11
00
00
01
11
11
00
00
11
01
01
11
01
11
11
00
10
01
00
01
11
11
00
00
11
10
11
00
01
10
10
00
00
10
10
01
10
11
00
10
01
10
10
00
11
00
01
11
11
00
00
01
11
11
10
10
11
01
00
11
01
00
01
10
10
01
10
00
00
00
00
00
10
10
01
10
00
11
00
10
10
10
00
00
10
11
01
00
10
10
10
10
00
01
11
10
10
10
00
11
00
00
01
00
10
10
10
11
00
10
10
10
10
01
00
01
10
00
00
01
11
11
11
11
11
10
10
01
01
00
10
10
00
11
01
00
10
00
11
10
01
00
00
00
01
00
11
10
00
00
00
10
10
00
11
00
00
00
10
00
11
00
00
11
00
00
10
10
11
11
00
01
01
10
00
10
01
00
11
00
10
11
10
11
11
10
00
00
00
01
00
10
00
10
10
10
10
10
01
00
00
11
11
10
01
00
10
11
10
10
01
00
11
10
00
10
10
00
10
11
00
10
10
10
10
10
10
01
00
00
10
01
00
10
10
00
10
00
00
11
01
10
11
11
00
00
00
10
00
00
10
00
10
10
00
01
00
11
01
11
10
00
01
11
10
00
00
00
11
10
10
10
00
10
00
11
11
00
11
10
10
10
10
11
00
00
11
01
10
11
10
00
10
00
00
00
10
10
10
01
00
00
11
01
11
01
11
01
10
11
00
11
11
00
00
10
10
10
10
00
01
00
00
10
10
00
00
01
11
10
00
10
00
11
10
10
01
10
11
10
00
01
00
10
00
10
10
00
11
11
10
01
00
11
10
00
01
00
10
11
01
00
10
01
00
00
10
11
00
00
00
01
11
11
00
10
00
00
00
10
10
00
00
01
11
10
00
10
11
01
10
10
10
00
01
00
10
01
01
00
00
10
00
11
00
01
10
00
11
10
10
10
01
00
01
00
10
00
00
00
00
11
11
00
01
11
10
10
00
11
00
00
11
10
10
00
11
10
00
00
10
10
00
11
00
00
00
01
00
11
11
11
10
10
01
00
10
00
10
10
00
00
11
10
11
00
11
11
10
01
10
01
00
01
00
01
10
11
00
10
00
00
10
10
10
01
11
00
00
10
10
10
01
00
00
10
01
01
00
10
10
10
01
11
10
00
00
00
00
00
01
10
10
00
10
00
10
01
10
11
10
00
11
00
10
01
10
10
00
00
10
10
10
00
01
01
01
01
11
10
11
00
10
11
00
00
10
10
00
10
00
11
10
10
00
01
00
10
10
01
10
01
01
11
00
00
00
01
10
11
10
01
01
00
10
10
10
00
00
10
10
00
01
10
00
00
10
10
00
01
11
00
11
11
01
00
00
10
10
01
00
01
01
11
10
10
11
10
10
01
10
10
10
00
00
11
10
00
01
10
01
00
00
00
01
10
10
01
00
00
10
01
01
01
10
11
00
01
10
11
10
10
00
00
01
10
11
00
10
00
10
10
10
00
01
00
00
10
00
00
01
00
10
01
11
10
11
10
01
01
00
10
10
00
01
00
10
00
10
10
00
10
10
00
10
00
00
10
00
10
00
10
10
00
00
00
01
00
10
00
11
00
00
10
00
10
10
00
01
11
11
00
10
10
00
00
00
10
10
00
11
10
10
10
10
00
00
00
00
01
10
10
10
11
10
00
10
00
00
10
10
00
00
01
01
11
10
10
00
01
01
10
01
00
01
10
11
01
11
10
00
00
11
00
00
10
10
10
01
00
00
11
01
10
00
11
10
11
01
00
11
00
00
10
01
01
10
10
00
10
10
00
11
11
00
01
01
10
10
11
00
11
11
01
10
00
10
10
10
00
01
11
00
00
00
00
00
00
01
10
11
10
00
01
11
10
11
00
00
00
11
11
01
10
10
10
11
00
11
01
01
10
11
01
00
10
10
00
00
10
11
00
00
11
00
10
11
00
00
11
00
01
00
11
10
00
00
11
10
00
00
10
11
01
10
00
10
10
10
00
00
10
10
10
00
10
00
00
11
10
01
01
00
00
10
10
00
00
10
00
01
01
10
11
00
00
10
10
11
10
11
11
11
01
00
00
10
00
01
00
11
10
00
00
00
10
10
11
01
11
10
10
11
11
01
00
10
10
00
01
10
10
00
00
00
11
10
01
10
10
10
10
00
10
00
01
11
01
11
10
11
00
01
00
10
11
01
11
10
01
11
00
01
01
00
01
01
10
11
00
00
10
11
11
01
00
00
00
01
00
11
00
00
00
11
11
10
11
00
11
11
11
01
00
11
10
10
00
00
11
10
00
11
11
01
10
10
10
10
00
00
00
10
00
01
10
00
00
10
11
10
01
01
00
00
10
11
11
00
00
00
01
11
10
10
10
10
00
00
00
10
10
01
00
10
01
10
10
10
10
00
10
10
10
10
11
11
10
01
10
10
10
10
00
01
10
10
11
10
10
10
10
01
11
00
01
10
11
10
00
00
00
00
10
10
10
11
10
10
10
00
00
00
01
00
10
11
11
11
01
00
00
00
11
10
10
10
00
01
11
11
11
00
10
00
00
00
00
10
10
10
10
00
00
01
11
10
01
11
10
01
10
01
10
11
00
00
10
10
00
11
10
01
01
01
10
11
01
10
00
00
01
00
00
10
10
00
01
11
10
01
01
01
10
11
11
10
11
01
01
10
11
00
01
10
11
00
01
10
01
10
10
11
00
00
10
00
10
00
11
10
00
10
11
10
00
00
00
10
11
00
10
00
00
10
01
00
00
00
01
00
10
10
11
11
10
00
00
10
00
00
00
11
10
00
11
00
00
01
10
10
01
00
11
00
10
10
00
00
10
00
00
00
00
11
01
01
01
10
11
10
01
00
00
11
11
01
00
10
10
10
00
00
01
11
10
10
00
10
00
01
11
00
01
01
10
11
10
01
10
00
00
11
00
10
10
00
11
01
10
01
11
11
11
10
00
00
00
10
10
10
01
11
11
11
11
11
00
11
11
11
00
00
11
10
10
00
10
10
10
00
10
00
10
10
10
11
10
01
00
01
00
00
01
11
00
11
10
00
11
10
01
10
10
01
10
00
10
10
00
00
10
01
10
01
10
00
10
01
00
00
10
01
10
00
00
11
00
10
00
01
11
10
10
01
10
01
00
00
11
10
01
10
10
11
01
11
11
01
00
10
01
00
11
10
00
00
10
00
00
10
10
10
01
10
01
01
00
01
11
00
10
01
00
11
01
10
10
10
10
11
01
00
10
01
00
01
00
11
11
01
01
00
00
10
00
11
10
00
00
11
10
00
11
00
00
10
01
00
10
01
01
11
00
10
11
00
01
10
10
10
11
10
00
01
00
00
00
00
11
01
10
00
00
01
10
11
10
11
11
00
01
00
01
00
10
10
01
00
10
10
01
00
11
00
00
01
11
01
10
10
10
01
01
00
10
11
01
10
00
01
10
01
01
10
00
10
01
10
10
00
01
10
01
10
11
00
01
00
01
10
00
01
11
01
00
10
10
00
10
10
00
00
11
00
01
10
00
10
10
00
10
10
01
00
00
10
00
11
00
00
10
10
01
10
01
00
01
00
10
10
01
10
10
00
00
01
01
10
10
10
11
10
11
01
00
00
01
10
10
10
00
00
11
01
10
11
11
11
00
11
10
01
00
11
01
00
10
11
01
00
01
10
10
10
00
00
11
10
01
00
00
00
10
10
01
11
00
00
11
10
10
00
10
01
00
00
11
00
00
10
00
11
11
00
10
00
10
11
00
00
10
01
10
00
00
00
00
10
00
00
10
10
00
01
00
00
10
01
11
01
00
11
00
10
01
10
10
10
01
00
00
11
10
01
00
00
00
00
11
00
10
10
11
00
10
10
00
10
11
01
00
10
11
11
10
11
11
00
00
00
10
00
00
00
00
01
10
10
00
11
10
10
00
11
00
10
10
00
01
00
00
10
11
11
11
01
01
11
10
00
10
10
00
00
01
10
00
00
01
01
00
11
10
00
10
10
01
00
11
10
00
10
01
11
10
00
00
00
00
10
10
00
01
00
00
10
00
10
00
01
10
10
11
00
00
00
11
11
10
11
00
00
00
01
01
11
11
00
10
10
00
10
00
10
10
00
00
10
00
00
10
00
00
01
10
11
10
00
11
10
11
00
00
10
11
10
00
10
10
10
10
01
00
10
01
00
01
10
01
10
10
00
00
11
00
10
11
01
01
00
01
10
10
10
11
00
00
00
10
00
01
10
00
00
10
10
00
10
00
11
01
01
10
00
10
01
10
10
10
01
01
01
10
00
00
00
00
11
10
00
00
11
01
00
10
10
00
01
00
10
10
01
11
11
01
10
11
01
00
01
00
10
10
01
00
11
10
00
10
01
11
10
01
11
11
00
10
01
00
01
00
10
10
00
00
01
00
11
01
11
11
00
11
11
10
00
00
10
11
10
01
10
11
10
00
10
01
00
10
00
00
00
11
11
01
01
01
00
10
10
00
10
01
01
10
11
01
00
10
10
00
00
00
10
00
00
10
10
00
11
10
01
10
10
00
10
11
10
10
00
10
00
00
10
00
10
10
10
01
01
10
01
00
10
10
10
00
10
00
11
11
10
00
11
01
11
00
00
00
00
00
11
11
00
01
10
10
01
11
01
01
10
10
00
11
11
10
10
00
01
11
01
00
00
00
11
01
00
11
11
00
10
10
00
00
11
11
01
00
10
10
00
10
01
00
10
00
00
11
01
10
00
11
00
00
11
11
00
10
00
01
10
01
01
10
11
01
10
10
11
11
01
10
10
01
11
10
01
00
11
10
01
10
10
10
01
10
10
00
01
00
01
01
01
11
10
00
11
00
00
11
10
11
00
00
11
00
11
00
01
00
11
01
11
00
11
00
10
11
10
00
01
11
00
10
11
00
10
00
11
10
00
11
10
00
01
00
10
00
01
00
10
10
00
10
00
11
00
00
00
10
00
11
10
00
00
10
10
00
10
00
10
11
11
00
01
00
00
10
00
10
11
00
01
10
00
10
10
00
00
01
11
01
10
01
10
01
00
11
10
00
00
10
10
01
10
10
00
00
11
10
10
10
10
01
00
10
00
00
11
00
10
00
11
10
11
00
00
11
01
10
00
10
11
11
11
01
01
01
01
00
10
10
01
10
01
00
10
00
00
00
00
10
10
10
00
10
10
00
11
00
00
10
11
10
10
10
01
00
10
11
10
00
10
00
00
00
10
01
01
00
11
00
01
00
01
10
11
11
01
00
10
01
01
11
10
11
00
10
10
01
00
10
10
00
10
10
00
00
10
00
10
10
01
01
10
00
00
10
00
11
11
10
11
00
00
00
10
10
01
01
10
00
00
01
11
01
11
10
10
01
01
01
01
10
01
10
10
00
01
11
00
11
10
00
00
00
00
00
11
10
11
01
11
01
10
01
01
10
10
00
00
00
00
10
10
10
11
00
00
11
10
10
10
10
01
00
10
10
00
00
00
11
10
10
00
01
11
00
00
00
10
10
10
11
00
10
11
01
00
11
01
00
10
00
00
11
10
00
01
10
00
10
00
10
00
10
00
00
10
10
01
10
10
00
01
00
10
10
10
00
00
10
10
01
01
10
10
01
01
00
11
01
00
10
11
11
10
00
01
10
00
11
10
10
11
11
00
10
10
00
10
10
01
10
10
10
10
00
01
01
10
00
00
10
10
10
01
10
00
11
10
00
00
00
10
00
10
00
01
10
11
01
01
10
10
10
01
01
10
01
00
10
00
10
00
11
11
00
01
10
10
10
10
00
01
10
00
11
10
00
01
11
01
11
11
01
11
01
10
11
00
01
01
11
10
00
01
00
10
11
01
10
00
10
11
10
00
01
10
11
11
10
00
10
11
11
00
00
10
10
11
10
11
00
00
00
10
11
00
10
11
10
10
00
10
00
00
00
10
10
00
00
00
00
11
01
00
00
01
11
10
00
01
10
10
00
10
10
10
01
00
11
00
10
10
01
10
00
11
10
10
11
10
00
00
00
00
11
11
00
10
00
01
10
11
00
11
01
00
10
11
10
01
11
01
00
00
10
10
11
10
01
00
11
10
10
11
01
00
10
01
01
00
10
00
01
10
01
10
11
00
00
10
10
00
01
11
11
00
10
00
11
10
00
01
01
00
01
01
10
10
00
00
10
00
01
10
10
01
10
00
01
00
10
10
10
10
01
10
11
00
11
10
10
00
01
10
10
00
00
00
10
00
01
10
10
00
01
00
00
11
10
10
11
10
01
10
10
01
01
00
10
10
01
10
01
01
10
10
11
11
01
10
10
10
00
00
01
10
10
00
00
00
11
10
00
11
10
00
10
00
00
00
00
10
10
10
10
01
10
10
00
10
10
00
10
00
10
00
10
11
10
10
10
00
11
00
10
11
00
00
00
10
10
11
11
00
01
10
00
10
00
00
01
11
10
11
11
10
00
01
10
10
00
00
00
10
00
11
10
10
10
10
00
10
00
01
01
00
11
10
11
01
01
11
00
00
10
11
00
10
01
01
11
10
00
00
10
00
01
10
10
11
10
11
11
00
00
00
11
11
00
00
10
01
00
10
10
01
00
11
00
00
10
01
10
10
01
00
01
01
00
00
11
11
00
01
00
10
10
10
11
01
01
11
11
00
11
10
11
00
00
00
10
00
00
10
10
10
10
10
11
00
00
10
10
00
00
00
11
01
00
00
10
11
00
00
11
10
01
10
10
11
01
00
10
10
01
10
10
10
00
10
10
00
11
10
00
10
01
00
11
10
00
01
00
00
00
00
10
11
00
10
11
00
00
00
00
01
11
11
11
11
00
01
00
11
00
00
11
10
00
00
00
10
00
10
10
11
10
00
00
00
11
11
10
01
10
11
01
10
01
00
00
10
10
00
10
10
00
11
00
00
00
10
00
10
10
10
11
00
01
11
00
10
01
10
10
10
10
01
00
11
10
10
10
00
01
00
10
01
11
01
01
10
11
00
11
10
11
00
00
01
00
10
11
00
01
10
10
01
10
10
10
00
11
00
11
11
00
10
11
00
11
10
00
10
11
11
00
10
10
00
00
00
10
00
10
10
11
01
10
11
10
00
10
01
10
00
01
10
10
01
00
00
01
10
10
10
11
00
11
10
01
01
10
00
00
01
10
11
00
00
10
11
11
01
01
10
10
10
10
01
11
11
01
11
01
11
00
01
10
11
00
00
10
00
10
01
01
10
00
01
11
00
01
10
11
01
10
01
10
00
00
00
01
10
10
01
11
01
10
10
00
01
00
01
10
00
00
10
10
10
00
10
00
00
00
00
00
01
10
10
00
10
01
11
10
00
00
10
11
11
11
01
10
00
00
00
10
10
01
01
00
01
00
10
10
01
10
00
00
11
00
11
00
00
00
10
10
11
01
00
00
01
10
11
00
10
11
10
00
00
10
01
00
11
11
10
00
00
00
10
11
11
00
00
11
00
00
01
10
00
00
10
10
00
00
10
00
10
00
10
11
00
11
00
11
11
10
00
00
00
11
11
00
11
01
10
10
01
00
00
00
11
10
01
01
11
00
00
10
01
01
11
01
10
10
00
00
10
10
00
01
11
10
10
10
10
11
00
00
00
10
11
10
11
00
01
10
00
00
01
00
10
10
00
01
11
10
00
10
10
01
10
11
00
11
10
01
10
10
11
00
10
10
00
10
10
00
00
10
00
00
10
00
11
00
10
01
00
00
00
00
10
10
10
01
00
10
10
10
01
10
11
00
00
10
11
10
11
00
00
11
00
10
00
01
11
10
01
01
00
00
10
10
01
10
10
01
10
10
10
10
11
11
00
00
00
11
00
01
10
10
00
10
00
11
10
00
10
00
00
01
10
01
10
01
00
01
11
10
01
10
10
10
11
00
11
00
10
00
01
10
00
00
11
10
10
10
01
00
00
01
00
10
00
00
10
10
01
00
00
01
01
10
11
11
11
01
10
00
00
10
10
01
10
11
10
10
00
00
10
11
10
10
00
10
01
00
00
01
00
00
00
00
10
10
01
00
00
10
10
10
00
00
10
00
11
10
10
10
11
00
10
00
00
10
01
00
00
00
10
00
11
01
11
10
11
01
11
01
10
00
11
01
00
11
01
01
00
00
00
11
00
10
11
01
10
01
10
01
00
10
11
10
11
00
00
00
00
10
10
10
01
10
00
00
01
10
00
00
01
10
11
10
01
10
00
01
10
11
00
00
10
10
01
01
00
10
10
10
01
00
00
11
10
00
10
00
00
11
01
00
01
11
10
00
00
10
01
10
10
00
01
10
11
00
01
11
10
00
01
10
10
00
00
00
10
01
00
10
10
10
00
10
10
11
11
00
01
00
10
11
10
11
00
00
10
00
10
10
00
00
11
11
01
00
00
10
10
00
01
10
01
01
10
01
11
00
11
10
00
10
11
00
10
10
00
00
01
10
01
01
10
00
00
10
01
10
10
00
10
01
11
10
01
10
10
11
10
00
00
00
10
11
01
00
10
10
11
01
00
11
10
10
11
00
00
10
10
01
11
10
00
10
00
00
00
11
00
00
11
01
10
01
01
10
10
00
10
11
00
00
10
00
10
00
11
11
01
01
11
00
01
10
01
01
10
11
00
10
10
11
00
00
10
10
00
10
00
00
10
10
00
01
00
00
01
10
11
11
11
10
00
10
10
10
00
00
10
10
10
00
10
11
10
01
00
00
10
00
01
00
01
10
00
11
10
00
11
00
01
10
10
01
11
00
00
11
11
01
00
10
01
00
10
11
00
00
00
00
11
01
00
11
00
11
10
10
00
00
01
11
01
00
10
01
10
10
10
01
10
10
00
11
10
00
10
01
00
10
10
01
10
01
10
10
10
01
10
00
00
11
01
10
00
11
00
10
11
00
00
11
10
01
00
00
10
01
00
00
10
11
01
00
00
01
00
10
10
01
10
10
00
11
10
10
11
10
10
10
10
00
10
11
00
00
10
10
10
00
11
00
01
10
10
10
00
00
01
10
10
01
00
01
00
10
00
10
01
01
00
10
00
01
10
00
00
01
10
10
10
11
00
11
10
00
00
00
10
01
10
10
10
01
01
00
11
11
10
10
11
11
01
10
11
10
00
00
10
00
00
10
10
10
00
01
01
11
11
10
10
00
10
10
01
00
10
11
00
11
00
00
10
11
00
01
01
01
11
00
11
01
00
00
11
01
00
11
00
10
10
00
10
10
00
11
10
10
10
11
11
01
11
10
00
00
11
01
00
10
11
00
10
01
01
10
01
10
01
01
00
01
10
11
11
10
00
00
10
11
10
00
00
10
10
01
00
11
11
11
01
00
10
10
00
00
10
10
01
11
11
11
01
01
11
01
00
11
00
00
11
01
00
11
01
10
11
11
00
00
00
00
10
01
00
10
10
00
10
10
00
00
10
00
00
10
00
01
10
00
00
10
10
00
00
10
11
11
00
00
00
01
11
11
10
01
00
11
00
00
00
01
00
10
10
00
10
11
01
10
10
10
11
00
10
10
10
01
00
01
00
11
10
01
10
11
00
11
10
11
10
01
10
00
01
10
11
01
00
01
10
10
11
11
00
11
00
01
00
11
10
00
10
11
11
00
11
11
10
10
01
01
01
00
11
10
00
01
11
10
01
10
10
10
01
11
11
00
00
10
01
11
00
00
11
10
01
10
11
00
11
01
00
10
10
01
00
00
10
10
11
10
01
00
01
10
11
00
11
11
00
00
00
11
11
10
01
10
10
10
10
01
00
00
11
01
00
10
01
10
10
10
11
00
00
10
00
10
10
10
10
10
01
10
10
00
01
00
10
10
10
00
11
11
00
10
00
10
01
00
10
10
01
10
00
01
11
10
10
00
10
00
01
10
10
10
10
11
10
01
00
01
10
10
10
11
10
00
01
10
00
01
10
01
01
11
10
00
10
00
10
10
10
01
00
11
00
01
10
10
11
01
01
10
01
01
01
10
01
11
11
00
01
00
10
11
01
01
10
01
00
11
11
11
11
00
11
11
10
01
00
10
00
00
00
11
10
00
00
10
10
10
10
00
11
10
00
10
10
10
10
11
00
11
00
00
11
00
00
01
00
00
10
00
00
11
11
10
00
01
00
01
10
00
10
10
11
11
10
00
01
10
10
01
10
11
10
01
00
10
11
11
11
10
00
00
00
10
10
00
01
11
10
11
10
00
00
10
11
00
01
10
01
10
10
11
10
10
00
11
00
00
00
10
00
00
10
10
10
00
10
10
00
00
11
00
00
10
00
01
10
11
00
00
00
10
10
11
00
00
00
10
10
00
00
01
10
00
01
10
01
11
10
10
10
00
11
01
00
00
11
10
00
10
00
01
11
10
11
01
01
01
10
01
00
00
10
10
00
10
10
00
01
10
01
00
00
00
01
10
01
00
10
10
00
10
11
10
00
00
10
00
11
11
00
10
11
10
00
10
00
00
00
10
01
00
00
00
11
10
10
10
10
00
10
11
00
01
01
00
00
10
10
11
00
01
10
11
10
11
10
01
00
10
10
00
10
11
11
01
11
01
00
00
10
10
10
00
00
00
01
10
11
00
00
11
00
11
10
10
00
00
10
00
10
10
00
11
10
10
10
10
11
10
10
00
00
00
10
10
11
00
01
10
10
00
10
11
10
00
01
01
10
10
00
01
10
00
01
11
01
10
10
01
10
00
00
10
01
10
11
10
00
10
10
10
10
01
01
10
01
00
10
00
01
01
00
01
10
11
10
01
10
00
11
11
01
01
01
10
00
01
11
10
00
00
10
00
00
01
00
11
00
10
10
10
10
00
10
01
01
10
11
00
01
10
10
11
00
00
00
01
10
10
11
00
10
10
10
01
10
01
00
11
11
10
11
10
00
00
01
10
10
01
00
00
01
10
10
00
01
11
11
00
00
00
00
00
00
00
10
10
10
00
10
10
10
11
00
10
01
00
00
00
00
11
00
01
10
00
10
10
10
10
01
10
01
01
00
10
01
11
01
00
10
11
00
01
01
00
10
10
01
00
10
10
00
11
11
00
11
00
11
01
00
00
00
00
10
11
10
00
10
10
00
11
10
11
11
11
10
00
00
01
10
00
00
10
10
10
10
01
10
11
01
01
10
10
10
01
01
10
10
01
00
11
01
00
01
10
00
00
00
10
10
00
00
01
10
11
10
01
00
00
10
00
10
10
11
01
11
10
10
10
11
10
00
00
10
01
01
11
11
10
00
10
10
10
00
10
10
10
00
10
00
10
01
10
00
00
11
00
11
10
00
00
10
00
00
10
10
00
10
00
00
00
00
11
10
10
10
01
11
01
10
01
00
01
00
10
10
11
00
10
01
00
00
00
01
11
01
00
11
00
00
11
10
00
01
10
10
01
00
11
11
10
00
10
11
10
10
00
01
10
10
10
00
00
10
00
10
00
01
10
00
01
00
11
01
10
01
01
11
10
10
01
10
10
00
10
10
01
10
10
00
10
11
11
00
11
11
11
10
00
01
11
10
11
10
00
00
00
01
11
01
10
00
01
00
11
00
10
11
01
11
01
11
11
10
01
01
00
10
00
01
10
10
00
10
00
10
10
10
11
11
01
00
01
10
10
00
01
00
10
00
10
00
11
00
01
01
10
01
00
00
10
00
11
10
00
00
10
01
00
10
11
10
11
00
00
00
11
11
01
10
10
10
01
10
10
00
00
11
10
00
00
01
11
10
00
00
10
00
00
10
10
10
10
00
10
01
00
11
10
11
01
01
00
10
00
00
01
00
11
10
11
10
01
10
10
11
01
01
11
01
00
11
10
00
00
00
10
10
10
00
01
10
10
10
11
10
10
00
01
10
00
00
00
11
00
10
01
00
11
11
10
00
10
10
11
00
01
00
00
10
10
01
00
11
11
01
10
01
00
10
00
10
01
11
01
00
10
10
10
11
00
00
10
10
10
10
11
00
10
11
11
00
10
01
00
10
01
10
10
00
10
01
11
10
10
10
10
01
10
00
01
11
10
00
10
11
10
00
11
10
01
00
00
00
01
01
10
10
00
10
10
00
11
10
10
01
10
00
10
00
00
10
10
10
10
00
10
10
00
10
00
00
10
00
10
01
10
00
01
00
00
11
11
10
00
00
11
00
00
01
01
10
10
11
10
00
10
10
00
10
00
11
00
00
10
00
10
10
00
00
11
10
10
00
10
00
11
00
11
10
10
10
11
10
00
00
10
01
10
01
00
00
00
10
10
10
00
00
11
11
01
10
01
11
00
01
10
00
01
10
01
10
10
01
10
11
00
01
10
00
11
10
10
01
11
11
01
10
10
00
00
00
01
10
01
01
00
10
00
00
11
01
01
11
11
01
00
01
11
10
00
00
00
11
10
00
10
11
10
00
00
11
11
11
01
00
00
11
11
01
00
10
00
00
10
10
10
00
11
01
01
10
10
01
10
11
00
10
10
10
01
11
11
01
00
10
00
00
00
00
11
10
01
10
11
00
00
00
00
00
10
10
01
01
10
10
10
00
10
10
10
00
00
11
00
11
10
00
00
10
01
00
00
10
11
10
10
10
01
00
00
00
10
00
01
00
10
01
00
00
10
00
10
10
10
00
00
10
01
11
00
10
10
00
10
00
00
10
11
00
10
01
01
00
11
10
10
10
11
00
01
00
00
10
00
10
10
10
10
00
11
01
00
01
00
10
00
11
11
01
00
01
10
10
00
01
10
10
00
00
10
10
00
11
11
10
00
00
10
10
10
01
11
10
00
10
10
11
10
00
10
10
00
10
11
00
00
00
01
00
11
10
00
00
10
10
01
10
10
11
00
00
10
00
01
00
11
00
00
10
00
10
10
00
00
11
00
10
10
10
10
10
10
00
11
10
10
00
10
00
10
11
10
10
00
10
00
11
01
01
00
01
10
01
10
11
01
01
10
10
00
00
10
10
10
00
00
10
10
10
10
11
11
00
00
10
11
00
10
10
00
00
00
11
01
01
10
11
01
01
10
10
10
00
11
01
01
10
00
11
00
01
00
01
10
10
00
00
00
10
10
00
01
10
00
00
01
10
10
01
01
10
10
10
11
10
01
00
11
01
10
11
01
10
00
01
00
00
11
11
10
10
01
00
01
10
10
10
00
11
00
01
11
01
00
11
10
10
10
01
10
11
10
00
10
10
00
10
01
00
00
00
11
11
10
00
01
01
01
10
10
01
10
11
10
10
00
11
11
01
01
10
00
01
10
00
10
11
00
00
11
10
10
00
00
10
00
10
10
01
00
00
10
00
10
00
10
11
01
11
00
10
10
10
00
00
10
10
00
00
11
00
01
01
01
00
10
00
11
00
00
10
10
00
00
10
11
10
10
00
10
10
10
10
00
10
01
10
10
00
00
00
11
01
10
10
00
00
01
00
10
00
11
01
10
01
11
10
00
10
00
10
00
01
10
11
10
11
11
11
01
00
10
10
11
00
01
10
10
00
10
00
00
10
10
10
01
10
11
00
00
01
10
00
10
01
00
11
10
10
11
00
10
00
01
11
10
10
00
00
00
00
11
00
01
00
00
11
00
11
10
11
10
00
00
01
01
11
10
00
00
10
10
01
01
10
01
10
01
00
10
11
01
00
11
11
00
11
00
11
11
01
00
10
11
10
00
00
10
01
01
10
01
11
00
10
00
01
00
00
10
00
11
10
11
10
00
00
00
00
11
10
01
11
01
01
10
10
01
11
11
01
00
00
01
10
00
11
10
00
11
10
11
00
00
10
10
01
01
01
10
01
01
10
01
11
01
01
11
10
10
11
01
10
00
11
01
00
00
10
11
10
10
00
00
11
01
00
11
10
10
10
11
00
01
00
01
10
10
11
00
00
11
01
00
11
10
10
11
10
00
01
01
01
10
01
00
01
00
11
10
10
00
10
10
01
00
11
10
10
11
00
11
00
00
10
10
11
10
11
00
01
10
11
00
00
01
11
01
00
11
11
10
01
00
10
01
10
11
00
00
10
10
10
01
00
00
11
10
11
00
00
00
00
11
11
11
00
11
10
00
11
00
00
00
00
10
01
10
10
10
00
00
00
10
10
00
01
10
10
00
01
10
00
01
00
01
01
11
10
00
00
11
00
10
10
00
01
10
10
00
10
00
00
11
10
11
10
00
00
11
10
00
00
11
00
10
11
10
00
00
01
11
10
00
10
00
00
10
10
10
00
01
11
11
10
00
01
10
00
11
00
11
00
00
00
10
10
00
10
10
10
00
01
10
11
11
01
10
00
10
11
00
00
10
10
01
00
11
10
00
01
10
10
00
10
11
00
01
10
10
10
10
10
11
00
01
00
01
00
00
10
01
10
10
11
00
10
10
10
01
10
01
10
11
01
10
10
10
01
00
00
01
11
01
01
10
11
10
11
00
10
10
01
01
10
00
01
10
10
00
01
10
00
10
11
11
01
11
10
11
00
10
00
10
11
01
01
11
00
00
00
10
00
00
11
10
10
00
10
11
00
01
00
10
01
00
00
11
11
01
01
10
10
01
00
01
00
00
10
10
10
10
00
00
00
00
11
00
00
10
10
11
10
10
10
00
00
01
00
00
10
10
00
10
01
10
11
01
00
11
11
10
01
00
11
00
00
10
10
01
10
00
00
00
10
10
11
00
01
10
10
11
00
00
10
10
10
01
00
10
00
01
01
01
00
11
10
00
10
01
00
11
10
11
01
00
10
00
01
10
00
00
01
00
00
10
11
10
00
10
00
10
10
11
10
00
00
00
10
10
11
00
01
00
01
10
01
01
10
10
00
10
00
00
11
10
10
01
01
01
10
00
10
10
00
10
11
00
00
11
00
00
01
00
10
00
11
10
00
00
00
10
00
10
11
00
00
00
11
11
11
01
00
10
10
11
10
11
00
00
10
11
00
00
11
10
00
00
11
10
10
00
11
00
10
00
00
10
11
01
01
11
10
00
01
00
11
01
01
11
00
00
10
00
00
00
00
10
11
00
00
11
00
01
00
01
00
00
10
10
10
00
10
10
11
01
01
00
00
10
10
01
01
00
10
00
00
10
11
00
01
10
10
10
10
00
01
11
10
10
00
00
10
01
10
01
10
01
00
11
00
01
10
10
00
00
11
10
10
10
01
10
11
01
10
00
10
00
01
10
11
11
00
00
11
00
11
11
10
10
11
00
00
11
11
01
11
10
01
11
01
00
01
11
11
01
10
00
01
11
10
10
10
00
00
11
10
10
00
10
10
00
11
00
10
10
01
00
10
00
10
10
01
00
01
11
11
00
10
11
00
00
11
00
01
11
10
00
00
10
10
10
00
00
00
00
11
10
10
11
11
00
00
01
10
11
01
00
10
10
00
01
01
10
10
00
00
00
00
01
11
10
01
11
00
01
11
00
10
10
00
00
00
10
00
00
10
00
01
00
00
10
01
10
11
01
01
10
00
10
10
10
00
00
11
00
10
01
00
01
10
10
00
00
10
00
10
00
00
10
00
01
00
00
11
11
10
00
00
00
10
01
10
10
11
01
00
10
11
00
00
11
10
00
00
10
10
00
10
00
10
10
11
00
01
11
11
00
01
00
00
10
10
10
10
01
00
10
10
10
10
01
01
10
11
00
00
10
00
01
11
11
01
10
10
00
01
11
11
00
00
00
00
00
10
00
00
10
11
00
00
10
10
00
10
10
01
11
11
00
10
10
00
01
00
11
10
11
11
00
10
10
01
10
00
00
01
01
11
01
10
10
01
10
10
01
01
11
11
01
01
01
10
10
10
01
11
11
00
00
00
10
11
11
11
10
11
00
10
00
00
10
10
00
01
00
10
00
00
10
10
11
10
10
11
10
00
00
11
00
10
10
01
10
00
01
11
00
00
10
01
01
10
10
01
11
10
01
10
00
00
01
10
10
01
00
10
10
00
00
01
10
00
10
11
01
10
11
10
00
00
01
00
11
10
01
00
10
01
00
10
01
10
10
00
00
01
11
10
00
10
11
00
01
00
10
00
00
10
10
01
01
11
10
10
10
11
00
10
11
10
01
01
10
01
00
01
10
00
01
01
10
10
00
01
01
00
00
10
00
00
10
10
00
10
10
10
10
00
10
00
11
00
10
10
00
10
01
10
11
01
00
11
10
00
11
00
00
10
00
00
11
00
00
00
11
10
11
00
10
01
01
11
10
01
11
00
11
10
10
00
01
00
01
11
11
00
00
00
10
00
00
11
10
00
01
10
01
10
10
00
11
10
10
10
00
00
01
00
10
10
00
01
01
01
01
00
00
10
10
00
11
10
00
10
10
01
10
11
01
10
11
00
10
00
00
10
00
00
10
01
11
01
00
10
00
00
00
00
10
00
11
01
11
00
10
00
10
11
00
00
00
01
10
11
00
00
11
10
01
10
00
01
00
10
10
11
01
00
01
01
00
10
01
00
00
10
10
00
00
10
01
00
00
01
00
00
10
10
00
10
00
10
11
00
00
00
10
00
00
10
11
01
10
00
01
10
10
00
00
01
01
10
10
01
10
10
00
10
00
00
11
10
10
00
00
11
10
10
01
10
11
11
10
10
00
00
10
10
00
00
11
11
10
00
10
11
10
10
11
10
00
00
01
10
10
00
10
00
10
01
00
10
01
10
00
11
10
01
10
01
00
00
10
00
00
10
11
00
10
11
00
11
01
01
00
10
11
01
11
10
10
00
01
00
00
00
11
10
10
00
10
00
10
01
00
01
11
00
10
10
00
10
10
01
11
10
00
10
01
10
00
10
00
01
10
00
00
10
11
00
01
10
11
01
01
01
00
11
10
10
00
10
10
11
01
00
01
10
11
01
11
10
01
01
10
10
10
00
11
11
00
10
10
10
00
10
00
01
10
11
11
10
00
01
00
00
10
10
00
01
11
11
11
00
01
10
11
10
00
00
00
01
11
11
00
10
10
00
00
01
01
11
10
01
10
10
00
10
10
00
00
11
00
01
10
10
10
11
00
10
10
01
00
00
00
00
00
00
00
11
11
00
11
11
00
10
00
00
00
01
10
00
00
11
00
11
10
11
00
00
11
01
11
11
01
00
11
10
01
00
10
10
00
01
01
00
00
10
01
00
10
11
10
01
10
01
01
10
00
10
10
01
00
10
01
00
00
00
00
00
00
01
11
01
01
11
10
11
00
10
10
00
00
10
10
00
00
01
11
10
11
01
10
10
11
10
10
10
10
00
00
00
00
00
01
10
00
10
10
00
01
10
10
00
01
11
10
00
10
11
10
10
10
00
01
10
00
01
00
11
11
10
11
00
00
11
00
10
10
10
01
01
10
01
10
00
10
10
00
01
01
11
10
10
00
00
00
11
10
01
00
00
00
00
00
10
10
00
11
11
11
11
00
00
00
10
10
01
00
11
10
00
11
01
10
00
10
10
00
01
10
11
11
10
01
10
01
01
10
10
10
11
01
00
00
01
10
11
00
10
10
00
00
00
00
00
10
01
11
10
10
11
10
10
00
10
00
00
11
10
10
00
10
00
00
10
10
10
10
10
10
11
00
00
10
11
00
11
10
01
01
01
00
01
01
10
01
00
10
11
00
00
11
10
10
01
00
01
10
11
00
10
00
11
10
11
00
01
01
11
10
00
01
11
10
01
00
00
11
00
10
11
10
00
01
11
00
10
11
00
10
10
00
11
11
00
10
11
00
10
00
00
10
11
10
00
11
00
01
10
00
01
00
01
00
11
10
00
10
01
00
10
00
11
10
01
10
00
11
10
11
01
11
10
00
01
00
00
00
11
00
10
11
11
10
10
10
00
01
11
01
00
00
10
10
10
01
01
11
01
00
11
01
00
00
01
10
11
10
00
10
11
10
01
01
10
11
00
11
10
00
00
11
11
10
00
00
00
11
01
01
11
10
01
10
00
11
10
00
10
11
00
10
01
00
01
10
11
00
00
10
10
01
10
10
00
10
11
10
10
00
00
10
00
01
10
10
00
00
00
01
00
10
00
01
00
10
01
00
11
10
00
11
00
11
01
10
01
01
11
00
10
10
10
00
01
11
10
10
01
11
00
11
10
00
11
00
00
00
10
10
00
10
10
11
00
01
00
10
11
00
01
11
00
01
10
00
10
00
10
01
00
01
11
00
01
10
01
10
11
11
00
11
10
11
00
01
10
10
10
00
00
10
11
00
00
11
10
10
10
00
10
10
01
00
10
10
10
11
00
10
00
00
10
10
00
00
10
00
11
11
00
10
00
11
00
00
10
00
01
11
01
11
01
11
10
00
00
11
10
00
10
01
01
10
11
11
10
10
10
10
11
10
10
00
00
11
11
11
11
01
00
10
10
00
10
10
10
00
01
01
00
00
10
00
10
10
01
01
00
11
11
00
11
10
00
10
10
00
00
01
11
01
00
10
00
00
00
10
00
00
11
00
01
10
00
10
10
11
10
00
00
00
11
10
10
01
10
10
10
01
01
11
10
11
10
10
11
00
10
10
00
01
10
11
00
01
00
11
10
11
01
01
10
10
00
00
11
00
11
11
01
00
10
10
00
01
01
00
10
10
00
01
10
01
00
00
10
00
00
01
10
10
10
01
01
00
00
00
00
10
00
10
10
00
00
01
10
00
00
10
00
00
10
10
00
00
10
10
00
10
10
01
01
10
01
00
10
01
10
10
01
00
11
00
00
01
11
00
10
00
00
10
11
11
01
11
01
11
11
10
01
11
00
01
10
00
00
10
10
10
10
00
10
00
10
10
10
01
11
00
01
01
00
11
10
00
00
11
00
10
00
01
00
01
01
11
00
01
10
00
10
10
10
00
00
10
10
00
00
00
11
00
00
11
11
11
01
00
10
10
10
11
01
00
01
00
10
00
10
10
10
00
00
10
10
01
00
11
10
01
10
10
00
01
00
10
00
01
00
11
11
00
00
00
01
11
11
01
10
11
00
10
10
01
11
11
01
11
10
01
00
10
10
01
00
11
10
11
11
00
10
01
01
11
00
00
00
10
11
10
11
00
11
01
10
11
10
10
01
10
01
01
11
10
10
01
10
10
10
00
01
00
10
10
11
00
10
10
00
00
00
10
11
10
11
00
11
10
11
01
11
10
00
11
00
01
11
01
00
11
01
10
10
00
11
01
00
11
10
01
11
01
10
11
00
00
01
00
10
10
00
00
01
11
11
10
00
10
11
00
00
01
10
10
00
10
10
00
10
00
00
10
11
00
10
00
01
10
10
00
00
00
11
00
01
10
00
10
10
01
10
00
01
00
10
10
00
10
11
01
01
01
11
10
10
11
00
10
10
01
00
10
10
01
00
11
11
01
10
10
00
00
00
10
10
00
10
10
00
00
10
01
11
10
00
00
00
10
11
00
00
00
10
10
11
00
10
10
00
10
10
10
11
10
01
11
10
10
00
10
10
00
10
10
10
01
01
00
10
01
00
11
10
00
00
00
00
10
00
10
11
00
10
00
10
00
10
11
01
10
11
00
01
10
11
01
11
01
00
00
10
01
00
11
10
10
01
11
10
10
11
00
01
11
10
11
00
00
10
10
00
00
10
10
10
10
00
01
10
11
10
00
00
00
00
01
10
11
11
10
00
00
00
11
10
01
10
00
10
10
01
00
11
10
11
00
01
10
00
10
10
00
01
01
11
10
10
00
01
01
01
00
10
00
11
10
01
10
11
10
00
10
00
11
11
10
10
10
10
00
10
00
00
00
10
01
10
00
11
10
10
01
01
11
01
01
00
01
10
10
00
10
10
10
00
00
10
01
00
11
10
00
00
10
01
00
11
11
00
10
00
00
10
11
00
10
00
11
01
01
10
00
01
10
10
00
11
11
11
01
00
01
11
00
00
10
10
00
10
10
00
00
00
10
11
00
01
10
00
01
00
10
10
00
01
11
11
00
10
10
00
01
00
10
10
00
00
01
00
01
00
00
00
00
11
10
00
00
11
10
10
00
00
11
00
00
10
01
00
11
00
11
11
10
01
10
00
00
10
11
10
00
00
00
01
10
10
01
00
10
00
10
11
11
00
01
01
10
10
10
00
01
00
00
01
10
10
01
10
00
11
10
00
00
10
00
11
10
01
01
10
10
00
11
10
10
00
00
10
00
00
00
11
10
11
10
01
10
00
00
10
00
00
11
10
10
11
00
11
10
00
10
01
01
11
10
00
00
10
00
10
00
00
10
11
10
10
00
00
00
11
10
01
00
10
01
10
10
00
00
10
00
00
11
10
11
10
10
10
11
10
00
11
10
00
00
10
10
00
10
10
10
00
00
11
00
11
00
00
11
01
10
00
11
10
10
01
00
00
00
10
10
11
00
00
10
11
10
10
10
01
00
01
11
00
10
01
00
11
01
10
01
00
00
00
00
11
01
00
10
11
10
11
10
01
10
11
00
11
00
00
00
10
10
00
11
10
00
10
00
11
10
01
10
10
00
10
00
00
00
10
11
10
10
00
00
01
11
10
10
00
00
10
00
11
00
00
00
00
00
10
00
01
10
10
00
00
01
10
01
10
10
00
10
01
00
01
10
00
11
01
10
10
10
00
00
00
01
10
10
11
00
10
00
11
11
00
01
01
01
10
00
00
10
01
00
10
11
00
10
10
11
10
01
01
01
10
10
10
10
00
01
10
10
01
01
00
10
11
11
01
10
00
00
01
01
10
10
00
00
10
01
01
00
10
01
10
00
00
11
10
01
01
11
00
00
10
00
11
01
00
00
10
11
11
10
00
10
00
10
01
00
10
11
00
00
00
00
01
10
11
11
10
00
10
10
00
10
11
10
01
01
01
01
11
01
01
00
10
10
00
00
10
00
00
00
10
10
01
00
10
01
00
00
11
00
00
01
00
00
00
00
10
11
00
11
11
11
10
00
00
10
01
10
00
10
10
01
10
10
01
00
01
10
11
10
00
01
01
11
10
10
01
10
11
01
01
10
11
10
11
10
01
00
11
11
01
00
10
01
00
00
11
00
01
10
00
10
10
00
10
00
00
11
01
10
11
01
00
01
10
00
01
11
11
10
00
01
10
01
11
10
01
00
01
01
00
10
11
10
10
10
00
11
00
00
00
00
10
11
10
10
10
11
00
00
10
10
01
01
10
10
01
00
11
11
01
10
10
01
00
11
10
00
00
11
10
00
00
10
01
10
11
11
00
01
00
00
10
00
01
10
11
10
00
00
00
11
10
10
00
01
10
01
10
00
11
00
10
00
00
10
11
10
11
01
01
00
01
01
11
10
10
10
00
10
11
00
10
01
01
00
10
10
00
00
10
10
00
01
10
00
10
11
10
11
00
00
10
10
00
10
10
01
10
11
10
00
00
00
00
11
11
10
00
10
10
10
00
00
10
00
10
10
00
00
01
00
10
10
10
00
00
00
10
10
11
00
00
00
10
11
10
10
00
01
00
01
01
11
10
10
00
00
00
11
00
01
01
00
11
01
10
11
11
00
10
11
01
00
10
00
00
10
00
10
10
00
00
10
10
00
10
10
00
00
10
00
01
11
00
00
11
01
11
00
11
10
00
10
10
10
00
00
10
11
01
01
10
01
10
01
00
00
10
10
00
01
00
10
10
00
00
10
01
10
10
00
00
10
00
01
00
00
11
01
00
10
10
00
00
01
10
00
10
00
00
01
10
11
00
11
00
00
10
00
11
11
00
00
10
11
00
10
10
00
00
10
00
00
11
11
11
10
11
01
00
10
10
00
01
00
10
01
10
11
01
11
10
00
11
11
11
11
00
01
10
00
10
10
01
01
11
01
00
10
11
10
00
10
10
00
00
10
10
10
01
00
11
00
00
10
00
01
10
10
00
11
10
01
10
11
11
00
01
00
00
00
10
10
01
10
11
00
01
00
10
11
00
01
10
01
00
01
10
10
10
00
00
10
10
00
10
00
00
10
00
10
01
00
10
01
00
10
10
00
00
10
00
00
10
00
10
00
10
00
11
11
10
00
11
11
10
10
00
10
11
00
00
11
11
01
10
00
10
01
10
01
00
10
00
10
01
01
11
00
11
11
00
00
00
00
11
10
00
00
11
11
10
11
10
10
01
00
10
10
00
00
01
01
10
00
10
11
10
11
01
00
10
11
10
10
10
11
00
01
10
00
01
01
10
00
01
10
11
10
00
01
10
10
10
10
11
10
11
10
10
01
00
00
01
00
00
10
00
00
00
00
10
10
00
01
11
00
10
10
10
11
00
00
10
00
01
11
11
00
10
01
11
10
01
00
10
00
10
10
00
00
10
01
00
10
11
10
00
00
00
11
00
10
10
10
00
00
00
00
00
11
00
10
11
11
00
01
00
00
00
01
01
00
10
10
10
00
10
01
11
00
11
10
00
10
11
10
00
10
11
11
10
00
00
00
11
00
10
01
00
10
10
00
10
00
01
11
10
10
00
01
00
01
11
00
10
11
11
10
10
11
10
00
00
10
00
10
10
10
10
11
10
10
00
00
00
10
10
10
10
10
00
10
01
10
10
10
11
10
00
00
10
01
11
01
00
00
10
00
00
00
10
10
01
00
10
10
00
00
00
11
11
10
10
00
00
10
01
00
10
11
11
01
11
01
00
00
00
10
00
10
10
00
11
01
10
01
00
11
00
00
10
10
10
01
10
00
10
10
00
00
01
00
01
10
10
10
10
10
00
01
10
11
00
10
11
11
11
01
01
11
01
10
10
00
00
10
10
10
00
11
11
10
11
00
10
10
10
00
01
00
10
00
00
11
11
00
10
11
00
00
11
00
01
11
01
11
10
10
01
00
10
11
00
00
10
10
10
10
10
00
00
10
00
01
11
10
11
10
11
10
00
10
01
00
01
01
11
10
00
11
10
11
10
10
00
10
00
10
01
00
10
10
00
00
01
10
00
00
11
01
00
10
10
10
00
00
01
11
00
01
10
10
01
11
01
01
00
10
01
00
00
00
10
11
00
11
00
00
11
01
10
11
11
00
11
11
00
10
00
00
01
10
11
00
01
00
01
10
10
10
00
10
00
01
10
10
00
00
01
10
00
11
10
10
00
00
00
00
11
01
10
10
00
00
00
00
01
00
11
01
11
11
10
00
11
00
10
01
00
11
10
10
11
10
00
00
10
01
01
11
10
11
10
11
00
10
10
00
01
10
10
00
11
00
10
10
10
11
00
10
10
00
01
11
01
00
10
00
10
10
10
01
00
10
10
00
01
11
10
11
00
10
11
11
10
00
00
10
10
11
00
00
11
10
10
11
00
00
11
01
00
01
10
10
01
00
00
11
10
00
10
11
01
01
11
00
10
10
11
00
00
11
10
00
01
00
10
10
10
00
00
11
10
01
00
00
11
00
10
10
10
01
10
11
00
11
10
11
00
10
10
00
00
00
01
10
11
00
00
00
00
00
01
00
01
10
01
00
11
01
11
00
00
00
10
10
00
10
11
01
01
01
10
00
10
10
00
01
10
10
01
11
10
10
00
00
10
10
01
00
11
10
10
00
10
01
00
00
10
10
00
11
11
00
10
00
11
11
00
01
00
00
11
00
11
01
00
10
01
00
11
00
00
10
10
00
00
11
10
11
00
10
10
00
10
01
10
10
10
01
10
01
01
10
10
00
10
10
10
00
00
00
10
00
10
00
11
10
00
01
00
11
10
10
10
01
00
00
00
11
10
10
10
01
10
10
10
10
01
10
00
00
00
01
10
00
11
00
11
11
11
10
10
00
00
11
11
01
00
00
00
01
01
01
01
10
00
10
11
11
10
01
11
10
01
00
10
11
00
00
11
00
00
11
10
00
11
10
10
10
00
00
10
10
00
00
10
10
00
11
00
10
00
00
10
10
01
11
10
00
00
01
11
00
00
01
00
10
10
01
10
00
01
11
00
10
01
11
11
10
00
00
10
00
10
10
00
10
00
10
11
10
01
10
10
00
11
00
10
10
00
11
11
00
00
01
11
10
00
00
10
00
00
10
00
00
10
00
10
10
01
00
10
11
10
00
10
00
01
10
00
00
00
01
11
10
11
01
11
11
01
00
00
10
11
11
00
00
10
10
00
10
11
00
00
00
11
00
00
11
01
00
01
00
01
00
10
11
10
01
11
00
01
10
11
01
00
00
11
00
00
00
11
10
00
01
10
10
00
00
00
11
11
00
10
10
00
01
00
10
01
01
01
10
10
11
00
01
10
10
00
01
10
10
10
10
11
00
00
01
00
01
11
00
10
11
11
10
10
00
01
00
01
10
10
01
10
10
00
10
10
10
00
01
10
10
11
01
01
00
00
10
11
00
00
00
10
10
10
10
10
00
00
00
11
00
01
00
01
00
10
11
10
11
10
10
01
11
00
00
10
10
10
11
10
00
00
10
01
01
00
10
00
00
01
10
10
00
10
10
11
00
11
00
11
01
00
10
01
10
10
10
00
00
11
00
11
01
00
11
10
01
10
00
00
01
00
10
11
10
11
00
10
01
00
00
10
00
01
10
00
00
10
00
00
10
00
10
10
10
00
10
11
00
11
01
00
10
10
11
00
10
00
11
00
11
00
00
00
10
01
11
00
01
11
10
10
00
00
00
00
11
00
10
00
00
00
11
10
01
11
11
10
01
00
11
00
00
00
10
10
00
00
10
00
00
10
10
10
10
00
01
11
01
11
00
00
00
00
10
10
00
00
10
10
11
10
01
00
10
01
00
10
00
11
10
00
00
00
00
10
01
11
10
11
10
00
01
10
00
00
01
11
10
01
10
00
00
00
01
10
00
11
10
01
00
10
00
11
11
00
10
11
10
00
10
10
00
00
10
10
01
11
11
10
10
10
10
10
01
10
10
10
01
00
01
00
01
10
01
10
11
11
01
10
10
11
01
00
10
00
00
11
10
00
11
10
01
10
10
10
10
00
00
01
10
11
00
01
01
00
00
10
00
10
01
00
10
10
01
11
00
01
01
11
00
00
10
10
00
00
11
10
00
11
11
01
01
00
00
01
10
10
10
10
01
01
10
10
00
01
11
01
10
01
00
10
00
11
00
10
11
11
10
10
11
00
01
10
11
00
11
00
00
10
00
11
10
00
01
10
00
00
00
10
10
10
00
10
11
11
00
10
00
10
00
00
11
11
00
11
00
00
11
00
10
00
01
10
11
01
10
11
10
10
00
00
11
10
00
01
10
01
00
00
00
00
01
10
11
01
10
10
00
11
11
10
00
01
01
11
10
11
01
10
00
10
10
00
00
01
00
01
10
01
00
00
11
10
00
11
11
01
11
10
11
00
10
00
00
10
11
00
01
11
11
01
10
11
11
11
00
00
10
01
11
10
10
00
10
10
00
00
00
10
10
11
00
00
10
10
10
00
00
00
10
10
10
01
00
01
10
00
10
01
11
11
11
00
01
10
00
01
10
10
00
11
11
10
11
00
00
10
11
00
01
10
10
10
00
10
00
00
10
11
00
00
10
11
11
00
01
00
10
11
10
00
10
11
00
00
00
10
01
01
11
10
10
00
11
10
00
00
10
10
01
00
00
10
11
01
00
00
10
01
00
00
10
10
00
10
01
00
00
11
01
10
11
10
10
00
10
10
00
00
10
01
00
00
00
10
10
11
00
01
00
10
10
00
10
10
00
01
11
00
00
00
11
10
00
00
11
10
01
01
00
01
10
11
00
10
11
01
01
10
01
00
10
01
00
10
10
00
00
00
00
01
10
10
00
00
10
00
01
00
01
00
01
00
10
00
10
00
01
11
11
00
10
10
10
10
00
00
10
00
10
01
01
11
01
11
10
11
00
01
10
01
01
11
10
10
11
00
10
10
00
00
10
10
01
11
10
00
10
00
10
00
10
00
00
10
11
01
10
11
01
10
01
11
10
00
00
00
00
00
10
10
10
10
00
01
00
00
10
01
10
10
00
11
11
01
10
11
01
01
01
00
01
11
10
01
00
00
10
10
01
11
10
01
10
10
10
10
00
01
00
11
11
00
00
11
00
11
00
00
10
11
00
00
10
10
10
11
10
01
11
00
11
10
01
10
00
00
11
10
01
00
11
00
01
01
01
10
10
01
01
00
10
11
00
00
00
10
11
11
11
00
00
11
11
00
10
10
11
11
10
00
10
00
00
01
01
11
10
10
11
10
01
00
11
10
01
10
11
10
00
10
00
10
01
00
10
00
10
11
00
00
01
00
10
10
00
10
00
10
00
10
10
10
00
10
11
00
00
11
00
01
11
10
10
11
00
00
00
10
00
10
10
10
00
10
01
00
00
10
00
10
11
00
11
11
00
01
10
10
00
10
11
10
01
00
10
10
01
10
10
00
00
00
11
11
00
01
10
11
11
00
10
00
01
00
01
10
10
10
00
00
00
00
11
11
10
01
11
11
10
10
00
10
10
01
00
11
01
10
00
00
11
01
00
10
01
10
10
00
00
01
01
10
00
01
00
10
10
11
00
10
11
01
10
00
00
10
10
00
00
01
00
10
00
01
10
10
01
10
11
11
00
00
00
10
10
11
01
10
10
00
01
11
10
00
00
00
11
01
11
11
10
00
10
11
00
00
11
10
11
11
00
00
10
10
01
11
10
10
00
00
11
01
00
00
10
01
01
00
00
10
10
10
00
00
11
01
01
01
01
11
10
11
00
10
10
00
01
10
00
00
10
11
00
00
10
00
01
10
10
00
10
00
01
00
10
11
01
10
10
10
10
01
00
10
10
00
00
10
11
00
00
11
00
00
10
00
10
11
10
00
00
10
00
00
10
00
10
00
00
10
00
11
10
10
01
10
11
11
11
10
10
10
10
01
00
01
10
10
00
11
10
00
00
11
01
00
00
10
01
00
10
10
00
10
10
10
01
01
11
00
10
00
00
10
10
00
00
10
00
11
00
10
10
00
00
00
00
10
00
00
10
00
00
00
01
11
00
01
00
00
11
00
00
00
01
10
00
10
10
10
00
00
10
00
01
00
01
10
10
10
10
00
00
11
11
01
10
11
10
11
01
00
01
00
10
10
10
00
01
10
11
00
00
01
10
10
11
10
10
00
01
11
10
01
11
00
11
10
11
00
00
01
11
10
00
00
10
10
10
00
10
00
00
01
10
11
01
11
10
00
11
00
10
01
10
10
00
00
11
01
00
00
01
10
10
01
11
00
01
10
10
00
00
11
10
00
00
10
10
10
11
00
00
11
00
00
00
10
00
01
10
00
01
10
00
10
00
00
01
10
10
00
11
11
11
10
00
00
01
00
00
00
10
10
10
11
00
00
00
00
00
10
00
00
01
11
11
10
10
10
00
10
10
01
11
11
10
01
01
11
00
01
10
11
10
11
01
01
00
10
00
00
10
11
00
01
01
11
10
10
10
11
10
01
01
10
00
10
00
01
11
01
11
00
00
10
00
11
10
00
00
10
00
11
00
00
11
11
01
00
10
01
01
01
11
10
00
01
00
10
10
01
01
00
10
00
11
10
11
00
01
11
01
01
10
00
10
10
00
10
10
00
00
11
11
00
01
00
00
00
01
10
00
00
10
00
00
11
11
00
00
10
10
10
11
00
11
10
00
00
00
10
01
01
00
00
00
10
00
01
10
11
00
01
10
01
11
10
00
00
00
10
10
10
01
00
10
01
11
00
00
10
10
00
10
11
00
01
11
00
00
10
10
00
10
11
00
00
10
01
01
00
10
00
00
10
11
00
00
10
10
11
00
00
11
00
01
10
10
01
00
10
10
01
01
10
00
10
11
01
01
01
11
00
00
11
10
01
00
10
10
10
10
01
11
11
11
01
00
00
11
10
00
00
11
11
01
00
11
00
00
00
00
00
10
11
00
00
10
00
00
00
11
11
00
10
11
10
10
00
11
10
00
00
10
01
00
01
00
01
01
11
10
10
00
10
00
11
10
00
10
10
00
10
11
01
00
10
10
00
11
10
01
10
00
10
10
10
00
00
10
00
11
10
00
10
10
01
00
11
10
10
00
10
11
10
00
00
10
00
00
01
10
10
10
10
11
01
10
01
00
10
00
11
10
11
01
10
11
01
01
01
10
01
00
10
01
00
11
10
00
11
11
10
00
11
10
11
11
10
00
00
11
10
00
01
10
10
00
00
00
00
11
10
11
00
00
11
00
00
10
10
10
00
10
00
00
10
11
10
11
11
00
10
00
01
10
11
00
11
10
10
00
00
00
10
11
00
00
00
00
00
11
10
00
10
10
00
01
00
01
01
00
10
00
00
01
00
11
10
10
11
11
00
00
11
11
11
00
00
10
11
10
00
00
11
11
00
00
00
10
10
01
01
11
00
11
11
10
10
10
10
00
10
01
11
11
00
10
01
00
01
00
10
10
01
00
00
10
10
00
10
00
10
00
01
10
00
01
00
11
10
00
11
10
01
10
10
00
01
10
10
10
00
01
10
01
00
10
11
00
11
00
01
10
10
10
10
00
01
00
01
10
01
11
10
10
01
10
11
10
00
00
00
00
11
11
00
01
00
10
00
10
10
00
10
01
00
00
00
10
00
10
00
10
10
01
10
10
00
10
10
00
11
11
11
00
10
10
00
11
10
10
01
00
10
01
10
11
11
00
00
10
11
01
10
10
10
00
10
00
00
00
10
00
00
11
01
00
01
10
00
11
00
10
00
00
10
01
01
11
00
00
00
10
01
11
10
00
01
11
11
00
11
10
00
01
11
10
00
10
11
01
11
11
11
00
10
00
00
00
10
11
00
10
11
01
10
10
01
10
10
10
00
01
00
11
01
00
10
10
11
00
01
01
01
10
00
01
00
10
10
00
10
00
10
10
01
10
11
01
00
01
00
10
10
00
01
00
11
10
11
01
01
10
11
01
00
00
11
01
00
10
10
01
10
11
00
00
10
10
00
10
10
00
10
00
11
10
10
11
10
11
00
10
01
00
10
01
00
10
00
00
00
10
10
01
00
10
10
00
00
00
10
10
10
00
11
00
00
10
01
10
00
10
00
11
00
10
10
11
01
01
10
10
10
00
00
11
11
00
00
10
00
10
00
00
01
11
10
10
00
01
10
00
10
10
00
00
11
00
01
11
11
00
00
10
00
00
10
11
10
00
00
00
11
00
00
00
01
10
01
11
11
00
01
10
01
11
10
10
01
11
11
01
00
10
10
10
01
00
10
00
10
10
00
10
00
00
10
00
10
00
11
10
00
10
00
00
00
01
00
00
01
10
10
10
00
00
10
10
00
10
01
11
10
01
00
10
00
00
11
10
00
00
10
11
10
10
00
01
11
11
00
00
00
00
10
01
00
10
11
01
01
10
01
00
00
11
10
11
00
00
10
00
00
11
00
10
10
10
00
10
00
01
01
10
10
10
00
01
10
10
00
01
00
00
10
10
01
10
01
10
10
01
11
00
10
10
00
10
10
00
00
11
10
10
01
00
00
01
10
11
11
00
10
00
00
10
00
10
10
00
10
01
01
00
01
01
00
10
10
00
00
01
10
10
00
10
00
10
00
00
11
11
11
10
10
01
00
10
00
10
10
11
01
01
10
00
01
00
01
00
00
10
11
00
01
00
11
10
10
00
00
00
10
01
10
10
01
10
00
10
01
00
01
11
10
00
01
10
01
00
11
00
01
00
11
00
00
10
00
11
10
00
01
01
01
00
10
11
11
10
11
10
01
00
00
01
10
10
00
00
10
10
00
01
00
01
11
00
10
10
10
10
01
01
10
00
10
10
00
00
00
10
10
10
00
00
11
00
10
10
00
00
00
00
00
00
00
11
10
00
10
10
11
00
00
01
01
01
01
01
11
11
11
10
00
10
10
01
00
10
11
10
00
10
01
00
11
00
01
11
10
10
10
01
10
10
01
00
10
01
11
10
10
00
00
10
11
00
11
10
01
00
00
01
10
10
11
00
00
01
00
10
11
00
01
00
11
10
10
01
11
00
00
10
10
11
10
00
00
00
10
00
10
01
10
10
01
10
00
00
10
01
10
10
10
11
01
10
10
00
11
00
00
11
10
00
10
00
10
10
00
00
10
01
00
01
10
10
10
10
00
10
00
00
10
01
10
11
10
10
10
00
00
10
00
01
00
10
10
11
00
00
10
11
10
00
11
10
10
00
10
01
00
00
00
10
00
10
10
10
01
10
10
10
00
11
10
01
01
10
01
10
10
00
01
11
10
11
01
01
11
10
00
00
11
10
11
00
01
00
11
11
00
00
00
10
11
10
00
00
01
10
11
01
01
00
10
10
01
00
01
11
11
11
00
00
11
11
01
00
10
11
01
00
00
01
10
10
11
10
00
00
11
10
00
11
10
11
01
00
01
10
01
00
10
11
11
10
00
11
00
10
11
01
10
10
10
00
01
10
10
00
00
00
10
10
00
10
00
00
10
01
10
10
00
00
10
11
10
11
11
01
11
10
00
10
11
00
00
00
11
10
00
11
10
11
00
10
00
10
11
10
00
01
00
00
10
10
01
01
11
11
01
01
10
11
01
00
00
10
10
11
01
01
01
11
10
10
10
11
01
00
00
10
10
10
10
10
01
00
00
11
10
10
00
10
00
01
01
10
00
01
10
01
10
11
00
00
10
00
00
11
00
01
10
10
10
10
00
10
10
00
01
11
01
10
10
11
10
00
11
11
10
00
11
00
10
10
00
10
10
01
00
00
00
10
01
10
10
00
01
00
11
10
10
10
00
00
00
10
00
00
00
01
01
10
10
00
01
00
00
01
00
00
01
10
10
10
11
10
00
01
10
10
00
01
01
10
01
01
10
10
00
10
00
11
00
01
11
11
00
01
01
10
00
01
11
01
00
10
01
00
10
10
10
00
00
01
01
01
10
10
00
10
00
00
10
10
10
00
00
01
00
11
00
11
10
00
10
11
00
00
00
10
00
00
00
11
11
11
00
00
00
00
00
10
10
00
10
00
11
10
10
01
01
10
00
10
00
00
10
01
01
00
10
10
10
10
00
10
00
10
00
01
01
01
11
11
10
00
10
10
00
00
11
00
01
10
01
10
10
10
00
00
11
00
00
10
00
01
11
10
10
00
00
01
10
10
00
00
10
10
00
10
00
00
01
11
00
01
00
10
11
00
00
00
00
10
00
10
00
01
01
01
10
00
00
11
00
11
10
10
01
10
00
10
00
01
00
11
01
00
10
10
10
10
00
01
10
10
11
01
10
10
00
11
10
01
01
00
10
10
10
00
10
00
01
10
11
01
11
10
00
00
10
11
01
01
10
11
11
11
00
01
00
10
11
00
00
10
10
10
11
11
00
01
11
00
00
00
10
11
11
00
11
00
00
10
10
01
10
11
00
00
10
11
11
00
10
10
10
00
10
00
01
00
10
11
10
10
10
00
11
00
11
10
01
01
10
10
11
00
10
01
00
01
00
10
01
10
00
10
11
00
10
10
10
11
10
10
00
00
01
10
01
10
10
01
01
00
00
11
01
11
10
00
00
10
10
10
10
00
00
11
01
10
10
00
01
00
01
00
10
11
11
00
11
00
00
00
10
00
10
10
11
10
01
11
00
00
10
10
01
01
11
10
10
10
00
00
01
10
10
00
00
10
10
00
00
10
10
10
11
00
01
00
00
10
01
00
10
00
11
01
00
01
10
00
00
11
01
00
11
10
01
11
11
00
10
10
01
00
01
10
10
10
10
10
00
11
10
01
10
01
10
10
01
00
00
11
00
10
10
00
00
00
10
10
00
00
00
10
01
10
01
11
00
00
10
11
10
00
01
00
00
00
00
10
11
11
00
00
11
00
00
10
11
00
01
00
11
00
00
10
00
11
10
01
00
10
00
00
10
01
00
10
10
10
01
10
00
00
10
11
00
00
00
11
11
00
10
00
10
11
00
00
10
10
10
10
10
10
10
00
10
11
01
01
10
00
00
01
01
01
10
11
00
11
00
00
11
10
11
01
01
10
10
00
10
01
11
10
01
00
11
00
10
10
00
01
11
11
00
11
11
00
01
00
10
10
10
01
00
11
00
00
10
10
01
11
11
01
10
10
00
00
11
10
00
00
11
10
01
00
11
10
01
00
11
11
01
11
00
01
10
01
10
11
00
11
00
00
00
11
01
00
10
00
10
10
00
01
00
00
01
01
10
00
10
00
10
11
10
11
01
01
00
10
01
00
00
11
00
11
10
00
10
11
01
00
11
10
00
00
10
10
00
10
10
00
00
00
01
00
11
10
00
00
01
00
10
00
00
00
10
00
00
00
10
10
10
11
01
00
11
00
01
01
01
01
11
10
01
01
11
10
01
01
10
10
00
00
10
10
00
00
10
01
00
11
10
10
00
00
11
10
10
10
00
10
00
01
00
01
10
10
11
11
10
00
10
10
10
10
10
00
10
00
00
00
00
10
11
01
10
11
00
00
10
10
00
11
10
00
00
10
10
01
11
00
00
10
01
00
00
10
10
00
01
10
10
00
01
00
01
10
00
00
01
11
10
10
01
10
11
00
00
10
10
10
11
01
00
11
10
01
00
00
10
00
01
10
00
10
11
00
10
10
01
00
10
00
00
00
00
00
11
00
10
11
10
10
00
11
10
11
01
01
10
11
10
01
00
00
10
11
00
01
10
11
10
10
01
11
00
11
10
01
00
11
01
00
00
10
01
00
00
01
10
01
00
10
10
01
00
00
10
10
10
11
01
11
11
00
01
10
00
01
00
10
10
00
00
11
00
00
10
11
11
00
11
00
00
10
00
10
01
01
10
10
01
10
10
11
00
10
11
00
10
10
00
10
01
10
00
00
11
10
01
00
00
10
10
00
10
10
00
10
10
10
00
00
10
00
01
10
10
00
10
01
11
01
10
01
10
11
00
01
00
11
10
11
00
01
10
10
11
00
00
11
00
00
10
01
10
11
00
11
10
01
10
00
00
00
01
11
00
01
00
11
10
10
10
00
11
11
10
10
10
00
10
01
00
00
11
10
01
00
11
10
10
00
11
01
01
10
10
00
10
00
00
11
00
00
10
01
11
00
01
10
11
00
00
00
00
11
10
01
00
00
01
10
10
10
11
10
11
00
10
00
01
10
00
10
10
01
10
00
00
00
00
00
10
10
11
00
00
11
10
00
11
00
00
11
10
01
10
10
01
11
01
00
00
10
00
01
10
10
10
00
00
00
01
10
01
01
01
01
10
00
00
11
10
10
00
00
00
10
11
11
01
01
00
01
00
01
11
00
10
00
10
10
10
00
01
10
01
10
10
00
01
10
11
00
00
01
10
11
10
00
01
10
10
11
10
11
00
10
00
00
10
11
01
00
11
01
11
10
00
10
10
01
00
10
10
00
01
11
10
00
10
00
00
00
10
10
00
10
10
11
00
00
00
11
00
01
00
10
10
01
00
00
11
01
00
10
11
00
00
11
11
10
00
10
01
00
10
10
00
00
00
01
11
00
00
11
00
00
10
11
10
00
01
01
01
00
11
10
00
00
10
10
00
00
10
00
00
10
01
10
00
00
10
00
00
01
10
00
11
11
00
10
00
00
10
11
10
00
01
00
11
11
10
00
10
11
11
10
00
00
10
11
01
11
01
10
10
10
10
00
10
01
01
00
11
11
11
10
10
11
00
00
01
10
11
00
10
00
00
10
11
10
01
10
10
10
00
11
11
01
01
10
10
10
10
11
00
00
11
00
01
11
10
00
10
10
00
11
11
00
01
01
11
10
01
00
01
00
11
11
00
01
10
10
10
00
00
00
10
10
01
00
10
01
10
11
01
01
00
00
01
10
00
00
10
10
11
10
11
10
10
00
10
00
10
00
10
11
00
11
00
01
01
10
11
01
01
00
11
00
10
00
10
11
01
01
10
10
11
01
00
11
00
00
10
00
01
11
10
11
10
01
11
01
00
10
00
00
00
10
10
01
10
00
00
10
01
10
10
10
01
00
11
10
01
01
10
10
10
10
01
00
00
01
00
10
10
01
11
00
11
00
00
11
00
10
10
00
00
11
11
00
00
10
00
00
11
10
00
10
00
00
00
01
10
10
10
11
10
00
01
10
00
01
00
00
00
11
00
00
10
11
11
11
10
00
10
01
10
00
00
10
10
10
00
00
00
10
10
00
10
00
00
11
00
11
10
00
00
10
00
10
10
10
10
11
10
01
10
10
01
01
11
10
00
00
11
00
01
10
10
10
11
11
11
00
01
10
10
11
10
01
01
10
10
11
10
00
00
10
01
11
11
11
00
01
00
11
11
01
10
11
01
00
10
11
00
00
10
11
00
10
10
10
10
00
01
00
10
01
10
10
10
10
10
10
00
00
11
00
10
11
00
00
00
00
10
11
11
10
01
01
00
10
01
10
10
10
00
01
10
11
00
00
11
10
00
00
11
10
11
10
00
00
00
01
11
00
00
00
10
11
10
10
10
00
01
11
10
10
11
00
10
00
01
01
00
00
10
00
00
10
10
00
10
10
00
01
00
10
10
10
00
10
10
10
10
00
00
10
11
11
00
00
00
10
11
11
10
10
00
00
11
00
00
00
10
00
11
11
00
00
00
10
00
01
00
11
01
00
10
11
10
00
10
11
01
00
10
01
00
11
10
10
00
00
10
01
11
11
00
00
00
10
00
00
10
11
01
10
01
00
00
00
11
10
10
00
00
01
10
10
11
10
10
10
10
00
10
00
00
00
00
00
11
00
00
10
00
10
11
11
01
11
10
00
01
10
00
00
00
10
10
00
10
01
00
11
11
10
00
00
01
01
01
00
01
11
11
11
11
00
00
11
10
10
00
01
01
01
10
10
01
00
11
10
01
00
10
11
10
00
01
10
10
01
00
01
10
11
00
00
10
10
00
00
00
11
10
00
01
00
11
11
00
10
00
00
10
00
10
10
01
00
11
10
10
00
10
10
00
11
10
01
00
01
00
00
10
10
10
01
10
10
10
01
11
01
01
00
10
10
00
00
11
11
00
10
10
00
10
10
00
01
10
10
10
10
01
01
01
10
11
10
00
11
00
01
00
01
10
10
10
00
10
00
00
10
00
01
00
00
10
00
10
11
11
01
00
01
10
01
10
00
00
01
10
10
11
10
00
00
11
10
00
10
11
00
10
10
01
00
11
10
11
10
01
01
10
01
01
00
11
10
01
00
10
00
11
10
00
00
00
01
10
10
10
11
10
11
10
01
00
01
01
10
11
00
11
10
00
10
00
10
11
00
11
00
01
11
11
11
01
00
11
10
00
00
10
10
01
00
10
11
00
00
00
11
10
10
00
00
00
10
01
10
00
11
10
10
00
00
00
11
00
00
00
00
00
00
10
10
00
01
01
11
00
10
00
00
00
00
10
10
00
01
00
00
10
10
01
00
01
10
10
10
00
10
01
00
11
00
11
10
00
00
10
00
01
00
00
11
11
00
00
00
11
00
11
11
11
10
00
01
10
00
00
00
01
10
01
00
01
11
10
00
11
00
11
11
00
00
00
10
11
00
01
00
11
10
01
00
10
00
10
10
00
11
10
01
01
11
10
01
00
00
00
10
11
01
00
10
00
10
10
10
00
11
00
00
10
01
10
10
00
11
10
00
11
11
10
01
10
10
01
00
01
00
10
10
11
10
00
01
11
11
00
10
11
01
11
01
01
10
00
00
10
10
01
00
10
01
00
10
01
10
00
11
10
10
00
00
00
01
11
10
10
00
00
10
00
10
01
01
00
00
10
01
01
10
11
10
01
01
00
10
10
01
00
00
11
01
10
10
11
10
00
00
00
10
10
10
00
10
01
11
00
11
00
01
11
10
00
00
00
10
10
00
00
00
01
11
01
10
10
10
00
11
00
00
10
10
01
11
00
01
10
01
00
01
10
11
10
00
01
10
00
00
01
10
10
00
11
00
11
10
01
11
10
00
10
11
00
01
00
10
10
00
00
11
10
01
00
11
00
10
10
10
01
11
11
00
11
10
10
11
00
00
11
10
00
10
00
01
11
10
01
10
10
10
10
11
00
10
10
00
00
00
01
10
10
01
01
10
10
01
00
00
10
01
00
10
00
10
00
00
01
10
11
00
00
01
00
10
11
01
00
00
00
00
11
10
00
01
00
10
00
11
10
01
00
01
10
10
01
00
01
10
10
00
00
11
00
00
00
10
10
10
10
11
01
10
11
01
01
00
10
11
00
10
10
11
00
00
11
10
00
00
11
10
10
00
10
11
11
01
01
00
00
01
11
10
10
11
00
00
11
01
00
00
10
10
01
10
11
00
10
01
00
11
11
00
01
00
00
10
11
01
00
01
10
01
00
11
11
00
01
10
10
00
10
10
10
10
00
01
10
01
10
10
10
00
10
10
00
10
11
00
10
11
01
00
10
10
00
10
11
10
00
00
00
10
10
11
00
01
01
10
00
01
01
10
00
00
10
10
10
00
00
00
11
10
00
10
00
10
00
10
11
11
10
10
00
01
10
00
10
10
10
00
10
11
01
11
10
00
01
00
10
11
11
00
10
10
11
00
11
00
00
11
10
01
00
10
11
11
10
10
00
01
10
00
01
10
10
10
10
10
00
01
01
10
00
00
10
10
00
00
10
11
11
10
10
10
00
10
00
11
00
01
11
00
00
10
11
00
11
10
01
00
00
11
11
10
01
00
11
11
10
10
10
01
10
10
00
00
10
11
00
01
01
10
10
10
10
11
11
01
00
01
00
00
00
10
11
11
11
01
00
00
00
11
01
01
10
10
01
00
00
10
10
00
00
00
10
10
00
00
00
11
00
00
10
10
11
10
01
01
00
10
00
00
00
10
10
10
11
00
10
11
00
10
11
10
01
10
00
10
11
10
01
10
11
10
00
00
11
11
01
01
10
01
01
01
10
00
10
11
11
01
00
10
10
00
10
00
11
10
11
10
01
11
00
10
11
00
00
00
00
01
10
10
01
00
11
10
11
01
10
00
00
01
11
10
00
10
00
10
11
01
10
10
10
10
01
10
01
00
11
11
10
01
11
10
01
10
10
01
00
11
10
11
00
01
11
10
00
00
10
10
10
00
10
11
10
11
00
00
00
00
00
10
10
01
00
11
10
00
00
10
00
11
00
00
11
00
00
10
10
11
10
00
10
00
01
11
11
01
10
11
10
10
00
00
11
11
11
00
00
00
00
01
10
11
00
00
10
10
11
00
10
10
01
10
10
10
00
00
00
01
11
11
00
10
01
10
10
11
00
00
11
00
11
00
00
00
11
10
10
11
00
10
00
00
10
10
00
00
10
00
10
10
11
00
10
10
11
11
00
11
00
00
01
11
00
00
00
11
11
00
11
10
00
00
10
01
01
00
10
10
00
10
00
00
00
11
10
01
10
11
10
00
11
01
11
11
01
00
11
10
11
00
00
10
10
00
01
10
11
10
00
00
11
10
00
00
10
00
01
10
10
10
00
11
00
11
00
10
00
01
00
11
10
00
10
00
00
00
01
10
10
10
11
11
00
10
01
10
11
11
10
11
01
01
10
10
00
00
10
00
00
10
10
00
01
10
00
10
00
10
00
00
00
10
10
01
00
11
11
00
11
01
00
01
00
11
11
01
00
11
00
01
10
10
10
00
11
01
11
10
00
10
10
10
00
00
10
10
10
10
10
00
10
00
00
00
11
00
01
00
10
10
10
00
00
10
11
00
00
00
11
00
10
01
10
10
10
00
00
10
00
11
01
00
01
11
10
10
00
01
11
11
00
10
11
10
00
10
10
00
11
00
00
10
11
01
00
10
10
00
10
00
01
10
10
01
01
11
01
10
00
00
10
11
00
00
10
10
01
01
00
10
11
10
00
01
00
11
01
00
01
00
01
00
00
10
01
00
10
11
00
10
11
11
10
11
10
10
00
11
01
10
10
00
11
11
10
01
01
10
11
10
10
00
00
10
11
01
00
10
10
11
01
00
10
10
10
11
10
00
00
01
10
01
00
11
10
00
10
00
11
10
10
10
00
00
10
01
00
10
00
10
11
00
10
10
00
00
00
01
11
11
00
10
00
00
01
00
10
10
01
00
11
01
00
10
00
00
10
11
00
11
10
00
00
00
10
10
00
10
10
00
01
00
10
10
11
11
11
10
00
01
00
10
01
00
10
00
10
00
10
01
00
00
10
00
10
10
00
00
11
10
00
10
00
10
10
00
00
00
10
11
10
00
01
11
10
11
00
00
00
00
11
10
10
00
10
11
10
01
00
10
11
00
00
00
10
10
10
01
01
00
00
11
00
10
01
10
11
10
10
00
10
00
00
00
10
10
00
01
10
10
00
00
01
10
10
11
10
10
10
10
00
11
10
00
00
00
10
10
11
01
10
10
00
10
00
01
01
00
01
10
01
00
10
10
11
00
00
10
11
10
00
00
00
00
01
10
00
00
10
00
11
00
00
00
00
01
10
10
10
11
01
10
00
10
11
10
01
00
10
01
00
00
10
10
11
10
10
11
00
01
10
00
10
00
11
00
00
10
11
10
01
00
10
10
00
10
01
11
11
01
10
11
01
10
00
00
10
11
01
00
10
01
00
10
10
00
01
00
11
10
10
00
10
10
01
00
10
10
11
10
00
00
10
01
10
11
01
10
10
11
11
00
01
10
00
01
10
00
10
10
00
01
11
00
11
11
10
01
00
10
00
11
10
10
00
00
00
10
10
11
11
00
00
01
10
01
10
11
11
01
11
00
10
10
00
00
10
11
01
01
10
10
00
00
10
00
00
10
10
00
11
10
10
11
00
00
10
11
10
01
10
11
11
10
00
00
00
00
10
10
10
00
00
11
10
01
01
10
10
01
11
10
10
11
01
01
00
01
10
01
11
11
01
00
10
00
01
01
11
10
10
00
10
10
00
10
01
00
00
00
11
10
00
10
10
01
10
11
11
10
01
00
00
00
00
11
10
10
00
11
10
00
11
10
10
10
11
00
00
00
00
10
00
00
10
00
00
10
00
00
11
10
10
10
11
00
01
00
00
01
10
11
01
11
11
10
00
00
10
10
01
01
11
10
10
00
10
00
00
11
01
00
00
10
11
10
01
01
10
11
11
00
10
00
00
10
00
10
00
01
10
10
10
10
10
10
10
10
11
00
10
00
00
00
10
00
01
10
00
10
10
00
11
10
11
00
00
11
00
10
11
11
00
10
11
01
11
11
01
00
01
10
11
10
01
00
10
00
00
00
11
11
00
10
00
00
11
01
10
11
10
00
11
10
10
10
10
00
00
10
00
10
11
00
00
11
00
01
10
00
10
10
10
01
00
11
11
01
10
10
10
11
01
01
10
10
10
00
11
10
00
01
10
10
01
11
00
00
10
10
11
00
11
10
10
10
10
11
01
11
11
00
10
10
10
10
11
00
00
01
00
11
01
10
10
11
00
00
00
00
10
01
10
10
00
00
10
10
10
00
01
11
11
00
10
00
00
10
10
01
01
00
00
10
00
00
11
10
00
00
01
11
00
10
10
01
10
11
00
00
01
00
10
00
10
11
01
01
01
11
10
10
01
10
11
11
00
00
10
11
11
00
00
11
00
10
00
11
10
00
01
01
11
01
10
11
00
00
11
10
00
00
11
01
10
01
00
10
10
00
10
10
01
10
00
01
10
00
10
10
11
00
00
00
10
01
10
00
01
00
11
00
00
10
10
10
10
10
10
01
01
10
00
00
00
00
00
11
01
11
01
00
01
01
11
00
11
00
10
10
00
00
11
10
00
00
10
10
00
11
11
11
00
00
00
00
10
10
10
00
11
10
11
10
00
01
11
01
01
11
01
00
10
10
01
01
10
10
01
00
01
00
01
10
10
10
01
01
11
10
00
00
10
00
10
11
00
10
10
01
01
00
00
11
11
11
10
01
00
11
10
01
00
10
10
00
10
10
10
00
10
00
00
10
00
10
00
10
11
00
10
00
01
10
10
10
00
10
10
01
11
10
11
00
10
10
10
00
10
11
00
00
10
10
00
00
00
11
11
11
10
11
10
00
10
00
00
00
00
11
01
01
00
10
01
10
11
11
10
00
11
01
00
01
11
10
00
00
00
00
11
10
11
00
00
01
11
01
01
00
10
00
00
10
11
00
01
11
00
10
11
10
10
00
11
00
10
01
01
00
00
00
10
10
10
10
00
10
10
01
10
01
10
01
11
00
00
10
01
01
10
10
01
01
11
00
00
00
10
10
00
00
10
10
01
01
10
00
00
01
01
10
10
01
01
11
11
10
00
10
10
00
10
10
01
10
01
11
10
10
10
00
01
10
11
00
00
10
11
10
00
00
10
10
00
00
00
11
10
00
00
01
11
01
10
11
00
00
01
11
11
00
00
10
10
00
10
01
01
00
10
00
11
11
00
00
00
00
01
10
10
11
00
10
01
10
11
00
10
00
10
10
00
00
10
00
01
10
10
10
00
00
00
10
11
00
00
10
00
00
01
10
11
01
10
10
00
00
00
11
10
01
01
10
00
00
00
01
10
11
11
10
11
00
10
10
10
01
10
01
11
00
01
10
10
10
00
00
10
10
00
10
01
10
11
10
00
00
00
11
00
11
10
00
10
11
10
10
01
01
10
00
10
11
10
01
00
00
00
00
11
11
11
01
10
00
10
10
10
00
01
10
01
00
00
00
00
01
01
10
00
01
00
00
11
00
01
10
00
10
11
00
10
10
00
00
01
11
10
10
00
00
11
10
00
10
10
00
10
00
01
10
10
00
10
00
10
10
01
00
11
11
10
00
10
00
10
01
01
11
10
10
00
01
00
01
00
11
10
00
00
10
00
00
00
10
00
00
10
10
10
00
00
00
11
00
11
00
11
00
00
00
01
00
11
10
10
01
10
00
00
00
10
11
10
00
01
11
00
10
01
01
10
11
11
01
01
10
00
00
10
11
01
00
10
00
10
10
10
11
00
00
01
11
10
11
10
11
10
01
00
01
10
10
00
01
10
11
11
00
10
10
10
00
00
01
11
11
10
11
01
11
10
11
00
01
00
00
10
11
00
01
01
10
10
00
11
00
00
00
10
00
00
11
10
00
11
00
10
10
00
00
10
00
00
01
10
01
00
10
10
10
00
10
10
00
10
10
00
10
10
00
00
00
11
10
01
10
11
01
10
11
11
11
01
00
00
00
11
11
11
00
00
01
00
11
10
10
01
00
11
10
00
00
11
01
11
10
00
00
01
10
00
11
10
11
00
00
01
00
10
01
10
11
01
00
11
01
01
00
01
10
00
00
10
10
00
11
10
11
00
01
11
00
01
11
10
00
00
10
01
00
11
00
00
10
00
00
10
00
10
10
00
00
00
01
00
10
10
10
10
01
01
10
01
01
00
01
10
10
00
00
10
01
10
10
11
00
01
10
00
10
01
00
01
11
10
10
01
10
10
11
00
01
00
11
10
01
01
10
11
01
00
10
11
00
00
00
10
00
00
00
00
11
10
10
10
10
10
01
11
00
11
10
10
01
10
11
00
10
00
00
10
10
00
00
10
10
10
11
01
00
10
01
00
01
10
01
00
10
11
11
10
00
10
01
11
00
10
11
01
01
11
00
00
10
10
01
00
11
10
00
10
10
00
00
10
11
10
01
11
11
01
10
10
11
10
00
10
11
01
11
10
00
00
00
00
00
10
11
01
10
00
00
11
00
10
00
00
10
00
00
11
10
10
10
00
10
10
10
00
00
01
10
00
00
11
00
10
01
10
11
10
00
01
11
00
00
10
10
01
00
10
00
10
10
10
00
10
10
01
10
10
11
10
01
10
11
01
00
11
00
10
11
10
11
01
10
10
00
10
01
10
10
00
10
10
10
01
00
10
00
10
11
10
01
10
00
11
10
10
10
00
01
10
10
10
01
00
00
00
11
11
01
11
11
00
01
01
00
00
01
01
10
10
00
00
00
11
01
10
10
10
11
00
00
10
10
01
10
10
00
10
00
00
00
10
10
00
00
00
01
10
00
10
00
00
11
10
10
00
10
11
00
01
10
10
10
00
10
00
10
00
01
00
11
10
01
00
01
00
00
11
00
10
10
10
00
00
10
00
10
10
00
10
10
10
00
11
10
00
00
00
11
00
10
00
10
11
01
10
10
01
10
00
11
01
01
00
11
00
00
10
10
00
01
00
10
10
11
10
01
10
11
10
10
11
00
11
11
00
00
11
10
01
10
11
01
01
00
11
10
00
11
01
00
10
10
00
00
10
11
10
11
10
00
00
00
01
10
10
01
11
01
01
00
11
11
10
00
00
00
10
01
00
10
10
10
00
11
10
01
11
11
00
01
00
11
00
01
00
10
00
11
10
01
01
10
10
11
10
00
11
10
00
00
00
00
00
00
01
10
10
11
00
00
00
10
00
10
11
01
10
10
10
00
01
00
10
10
00
10
10
00
01
01
11
00
10
10
11
01
10
10
01
00
01
10
00
10
10
10
10
01
11
01
00
10
11
10
10
01
00
11
00
00
00
10
00
01
11
00
10
11
00
10
00
10
01
01
01
00
10
10
00
10
01
00
11
11
11
01
10
10
10
10
00
11
01
10
10
11
01
01
01
00
10
10
00
01
01
10
10
10
10
10
00
01
00
10
10
10
00
11
11
01
10
00
10
00
00
11
01
11
11
00
00
10
11
11
00
10
10
10
01
10
11
00
00
00
01
11
10
10
00
00
00
00
00
11
01
10
00
01
11
11
00
01
10
11
00
01
00
11
10
10
10
11
10
01
01
11
10
01
10
10
10
11
11
01
10
10
00
01
01
10
11
00
00
11
00
00
10
00
10
11
11
10
10
01
01
10
01
00
10
10
00
10
10
00
00
00
11
00
00
10
01
01
01
10
10
10
00
00
10
10
01
11
10
00
00
11
10
10
11
10
10
01
10
10
00
00
11
10
11
10
10
10
00
10
01
10
10
01
00
00
00
00
00
00
00
11
10
00
01
10
11
00
01
10
00
00
10
00
00
10
11
11
00
00
10
00
01
10
10
10
10
00
10
10
00
00
10
10
00
11
10
00
11
11
10
10
00
10
01
00
00
10
10
10
00
00
00
10
10
10
10
00
00
00
00
00
10
10
00
10
00
00
00
01
10
11
00
10
10
00
00
10
10
01
01
11
00
10
10
10
00
11
11
01
10
11
10
11
10
01
01
11
00
01
00
10
00
00
01
11
10
10
01
00
01
10
10
10
01
01
10
10
00
10
00
11
11
00
00
00
10
11
11
10
01
00
11
10
11
11
01
00
11
01
10
00
00
10
10
10
10
00
00
11
10
01
00
10
00
00
10
10
00
00
11
00
10
10
01
10
10
00
00
00
00
10
10
01
01
11
01
01
01
10
11
11
00
11
10
11
00
11
10
00
00
00
00
11
00
01
01
10
00
00
10
11
00
00
11
00
10
01
11
10
00
01
00
00
10
10
10
11
01
00
00
10
00
00
01
11
10
01
11
00
01
10
11
00
10
10
01
11
11
10
01
01
01
11
00
10
11
00
00
00
10
11
00
11
00
10
10
00
10
11
10
10
10
00
00
00
10
11
00
10
11
10
10
00
01
01
11
10
00
10
00
11
00
00
11
10
00
00
11
00
00
01
11
00
01
11
00
11
10
10
10
10
00
00
01
11
10
10
01
10
10
00
10
11
11
00
00
00
11
10
00
00
00
11
01
01
01
00
10
00
11
00
01
11
00
11
10
11
00
10
10
00
01
11
00
01
01
11
11
01
01
10
10
10
01
10
11
01
01
00
01
10
00
01
10
11
00
01
10
10
00
00
01
10
00
00
10
10
11
11
10
00
01
01
11
10
10
01
00
11
00
01
10
11
10
00
10
10
11
01
11
10
11
11
00
10
00
00
10
11
00
00
11
00
01
11
00
11
10
10
10
00
01
10
10
00
10
10
00
01
10
00
11
00
11
01
00
10
10
00
10
01
00
10
00
00
11
10
01
10
10
00
00
00
01
10
10
01
10
11
01
01
10
00
10
10
10
11
00
01
10
00
10
00
10
00
10
10
00
01
10
00
10
10
00
11
10
00
10
10
10
01
00
01
01
00
11
11
11
01
00
10
00
10
10
10
11
01
10
10
01
00
01
00
10
01
00
00
00
10
10
10
10
01
11
00
00
10
00
10
01
00
10
11
00
00
10
00
00
11
10
01
00
11
01
10
11
11
00
10
11
00
01
11
10
00
00
10
10
10
10
00
10
00
00
10
00
10
10
00
00
10
00
00
01
00
11
10
10
11
11
10
00
11
00
10
00
00
10
00
10
00
00
10
00
10
11
00
10
10
00
10
11
00
10
10
10
00
00
11
11
00
01
00
10
10
11
00
01
00
01
11
10
00
10
00
01
01
11
10
00
11
11
11
00
11
10
00
01
01
00
00
11
10
11
10
11
01
10
11
00
11
10
00
00
11
10
10
01
00
11
10
00
01
11
00
11
01
11
10
00
01
10
10
00
11
00
00
01
10
10
11
00
00
10
10
10
00
00
10
11
00
01
00
01
10
00
10
11
10
01
11
00
00
10
10
11
00
01
00
01
10
10
00
00
11
01
00
11
10
00
01
10
00
01
01
00
01
10
00
10
11
00
11
00
00
11
01
11
11
10
11
00
01
01
11
10
00
00
00
11
10
10
11
00
00
10
10
01
00
00
01
00
11
00
10
10
10
11
00
00
10
11
01
00
00
01
01
01
00
11
00
11
10
01
10
00
00
10
01
00
10
11
10
00
10
00
10
10
10
10
00
00
01
00
00
10
00
00
10
00
01
10
00
10
00
10
01
00
01
11
00
10
01
01
11
00
00
00
01
01
00
01
10
01
01
00
11
11
00
00
10
10
11
11
01
00
11
10
10
00
11
10
00
00
00
10
10
01
01
01
10
10
10
00
00
11
10
00
10
10
10
10
10
00
01
11
00
00
10
10
00
01
10
11
00
00
10
00
11
10
10
00
01
11
10
00
10
10
00
10
01
00
00
00
00
11
10
00
10
00
10
00
00
10
11
01
10
10
11
00
11
00
00
01
10
10
01
10
10
00
10
00
00
10
00
00
10
11
00
00
10
11
00
01
11
10
01
10
01
10
00
00
10
11
00
01
01
10
00
10
10
00
00
00
10
00
10
10
00
10
00
00
10
01
01
01
10
10
11
00
00
10
10
10
00
00
10
10
10
10
10
10
11
00
10
00
01
01
00
00
11
11
00
11
00
11
00
01
00
11
10
00
00
10
00
11
01
00
11
10
10
10
00
11
10
00
00
10
10
00
10
01
00
10
00
00
10
01
01
00
00
11
11
00
10
10
01
00
10
10
10
01
00
00
11
00
00
00
11
01
00
00
10
10
11
01
00
00
10
10
00
10
10
10
00
11
10
10
00
00
10
10
10
01
01
10
11
00
00
00
01
10
00
10
10
01
10
10
10
10
11
00
01
10
10
00
10
00
10
00
01
10
01
11
01
10
00
00
00
11
10
00
01
10
00
10
11
11
00
00
10
11
10
10
00
00
10
11
00
00
10
10
11
10
00
10
01
00
11
10
10
01
10
01
00
01
01
01
01
10
01
00
10
00
00
10
10
11
00
01
10
10
10
00
10
00
00
11
11
10
11
00
10
01
10
00
00
00
11
10
00
10
00
01
11
01
11
01
00
00
11
00
01
10
10
01
00
11
00
01
10
11
00
01
10
01
00
00
00
10
00
01
11
10
10
10
01
01
00
10
00
11
01
01
10
00
10
00
11
10
00
01
01
10
10
00
00
01
11
11
11
10
01
00
10
10
01
00
10
10
00
00
01
00
01
10
00
10
11
01
10
00
11
10
01
11
10
00
10
00
10
10
00
11
11
01
00
01
01
00
01
10
10
00
10
10
10
10
01
10
01
01
10
01
10
00
10
00
10
10
01
01
11
10
10
10
00
10
00
00
10
10
01
00
11
00
10
10
10
10
01
01
00
01
10
01
01
10
00
10
11
00
01
10
10
00
10
00
01
10
01
00
10
10
00
10
10
10
01
00
01
00
00
00
11
10
00
10
10
10
10
00
01
11
10
01
10
00
00
10
00
10
10
10
10
11
11
11
01
00
10
00
10
00
00
10
10
10
11
01
00
00
00
10
11
10
01
00
01
11
00
00
11
11
00
11
00
01
01
00
10
01
00
00
11
10
11
00
00
00
00
10
11
01
00
10
00
00
10
10
00
10
10
00
00
00
10
00
10
11
00
00
00
10
11
00
00
10
00
00
11
01
11
11
00
10
01
01
00
01
11
10
10
00
11
11
00
00
10
10
11
00
01
10
10
10
00
00
11
11
00
10
00
00
10
10
10
01
00
11
11
11
01
00
00
00
10
10
00
10
10
00
11
00
00
10
00
00
11
01
01
11
10
10
10
00
01
11
01
10
01
01
10
00
01
00
11
00
10
00
00
01
00
01
10
11
01
10
11
00
00
00
10
10
11
00
00
10
11
00
10
00
01
00
00
10
10
01
00
11
00
00
11
11
11
10
10
10
00
00
11
10
00
11
01
11
01
01
10
00
10
00
01
00
10
10
01
00
10
00
00
00
01
01
10
11
00
00
10
00
10
10
00
00
10
01
00
00
11
00
10
00
00
10
10
00
10
00
10
11
10
11
10
00
01
00
11
00
00
10
01
00
10
10
00
00
10
00
01
00
10
10
00
10
00
10
00
10
11
11
01
10
00
10
11
00
11
00
00
00
10
00
11
10
00
01
10
11
01
10
10
00
11
01
01
10
00
00
10
10
00
10
11
00
10
00
00
10
11
00
10
10
01
00
00
11
00
10
01
01
11
00
00
11
11
10
00
11
11
10
00
00
01
10
00
10
10
10
00
10
10
00
00
00
10
10
01
00
10
00
11
10
00
00
10
01
00
10
10
00
11
01
01
01
10
00
01
10
11
11
00
00
00
10
01
00
10
11
10
11
11
00
00
00
10
00
00
10
10
10
00
10
11
00
01
10
11
00
00
00
00
10
10
10
10
10
01
11
01
10
11
01
10
00
11
00
01
11
10
10
00
10
10
10
00
01
00
11
01
10
00
10
11
11
10
00
10
00
00
00
00
10
10
10
00
00
00
11
01
11
00
10
01
10
01
01
00
11
01
00
11
10
00
10
10
00
01
00
10
10
00
01
11
11
00
01
10
10
10
00
00
00
01
11
10
11
00
00
00
00
10
01
00
10
01
00
00
10
00
10
00
00
10
11
10
00
00
10
00
00
01
01
01
00
10
10
10
10
10
00
00
00
10
00
10
10
10
00
10
00
00
11
10
10
11
10
01
10
01
00
11
11
01
01
01
10
11
10
00
00
10
10
00
01
00
10
00
10
01
11
01
01
00
00
11
10
00
01
10
10
00
11
00
01
10
11
11
01
11
00
11
10
11
00
01
11
10
01
10
10
11
11
00
11
01
00
01
10
01
00
10
10
10
00
11
10
00
10
10
10
00
00
10
01
00
01
11
11
10
01
00
00
00
10
00
00
00
11
10
01
01
00
01
00
10
10
11
00
10
10
01
10
01
11
11
00
00
10
10
00
01
10
01
00
00
01
10
11
11
11
00
10
10
00
00
11
00
01
11
00
11
00
01
00
00
10
10
01
00
10
01
11
10
10
10
10
00
00
11
00
11
00
10
10
00
00
01
01
11
10
10
00
11
00
01
01
10
00
11
10
10
00
01
10
00
00
01
00
10
11
10
10
10
11
00
10
00
00
01
01
00
11
10
10
10
10
00
00
01
10
10
01
11
10
10
01
11
00
11
00
00
00
00
10
10
01
01
00
11
00
10
11
10
00
00
00
10
10
10
10
10
10
10
01
10
01
01
10
01
10
00
01
11
11
10
00
01
00
11
11
01
00
00
10
10
00
00
00
00
10
00
10
10
11
01
00
11
11
01
10
01
10
10
00
01
11
10
00
01
11
00
01
11
00
11
11
11
10
00
01
10
10
00
01
10
10
00
00
11
10
10
10
10
00
00
00
10
00
01
11
10
01
00
10
01
01
10
10
00
00
00
10
00
00
10
11
00
10
11
00
00
10
11
00
10
10
10
01
00
10
01
01
00
11
00
00
00
11
00
11
10
01
00
10
10
10
00
00
01
10
10
00
00
10
01
11
10
01
00
10
11
00
10
10
00
10
00
00
00
00
10
00
11
01
00
01
11
01
00
01
10
01
01
00
10
11
00
10
00
01
11
11
10
01
00
00
10
10
00
00
10
10
00
00
10
10
01
10
01
01
00
11
10
10
00
01
01
11
00
10
00
00
00
01
10
11
10
01
10
00
00
11
10
10
00
10
10
01
11
01
11
10
00
00
11
11
01
10
00
00
00
00
10
11
01
10
10
01
10
10
00
10
00
00
10
10
00
11
01
10
01
01
00
01
00
00
10
00
01
10
01
01
01
10
00
10
10
11
00
10
11
00
00
00
10
10
10
11
01
01
10
10
00
10
00
11
00
10
11
10
10
10
11
00
00
11
10
01
01
00
10
00
01
01
10
11
00
01
10
01
10
10
01
01
01
01
00
11
11
01
01
00
00
10
11
00
01
10
10
11
10
10
00
00
11
00
10
10
00
10
00
11
10
10
00
10
00
00
00
00
10
10
00
00
01
11
00
11
10
00
10
10
00
01
01
10
10
10
01
10
11
00
00
00
10
10
00
10
10
00
01
11
10
01
00
10
10
00
10
10
10
01
10
00
01
01
10
01
10
10
00
01
10
00
01
11
00
10
00
11
11
00
10
01
00
01
01
11
10
00
10
01
10
01
00
11
00
11
10
10
00
00
01
10
01
00
00
00
10
10
00
11
10
00
00
01
11
00
10
11
10
10
10
10
00
00
01
00
00
00
10
11
00
00
10
01
00
11
00
10
10
00
10
10
01
00
11
01
01
10
00
00
10
01
00
10
00
10
00
10
00
00
01
10
10
10
10
10
01
00
01
00
10
01
10
10
00
10
10
01
11
01
10
10
00
00
00
10
11
00
10
11
10
10
01
00
00
01
11
10
10
10
11
11
11
10
11
10
11
11
00
01
01
00
10
01
00
01
00
10
10
00
00
00
10
10
10
00
10
11
00
00
00
00
00
11
10
01
10
00
10
00
01
10
10
11
01
00
11
10
00
01
11
00
10
00
00
00
01
10
10
00
10
10
00
10
01
00
01
00
00
11
10
10
10
00
00
00
00
10
00
01
11
10
00
10
11
10
00
10
11
11
01
01
00
11
00
00
10
01
01
11
11
10
10
00
10
01
00
01
10
11
10
11
01
00
11
11
00
00
11
10
11
00
00
11
11
01
00
10
10
00
00
01
00
10
11
01
10
00
10
00
10
11
10
11
00
11
01
10
00
11
10
10
00
00
10
01
10
01
00
10
10
01
10
10
01
00
11
01
00
00
11
00
10
01
01
01
01
11
10
10
00
10
11
10
10
00
00
10
01
10
00
00
10
00
11
11
11
11
01
10
01
10
11
00
00
10
10
10
00
00
10
00
10
10
10
11
10
00
00
11
00
10
10
01
10
00
00
01
01
00
01
10
00
10
10
00
00
11
10
10
11
10
00
10
01
10
00
11
00
10
11
10
10
11
00
10
01
11
00
11
11
10
10
11
10
00
10
00
01
01
00
10
01
11
00
01
11
11
00
10
10
01
00
11
01
11
10
00
10
01
10
10
00
00
10
10
00
10
11
11
10
00
00
00
00
10
00
00
10
00
10
01
01
11
00
11
00
11
00
00
10
10
01
01
00
10
10
00
11
01
10
10
01
10
10
00
00
11
11
11
00
10
10
11
00
10
01
00
00
10
10
00
10
10
11
00
01
10
01
10
00
11
10
10
00
10
11
00
10
11
11
00
00
11
11
00
10
01
11
11
00
10
00
01
10
11
01
00
10
10
10
00
10
10
00
10
00
00
10
00
00
10
10
10
00
00
10
10
10
10
11
11
10
01
00
00
00
00
11
10
01
00
11
00
00
00
10
11
11
11
11
11
11
11
10
01
10
01
00
11
01
10
00
00
11
11
00
00
11
10
10
00
10
10
00
00
00
01
11
10
10
00
00
10
01
01
11
11
10
00
10
00
01
01
10
11
10
11
10
01
01
00
10
10
00
01
01
11
10
00
01
10
00
01
11
01
10
01
00
10
10
01
00
00
11
10
00
00
10
00
00
10
10
10
00
10
00
10
00
00
11
10
01
00
11
10
11
11
01
00
11
10
01
10
11
10
10
01
00
10
10
01
10
01
01
10
00
00
00
10
10
10
00
10
10
01
01
00
11
10
10
00
10
10
01
10
01
11
01
11
00
00
11
10
00
00
11
11
10
01
11
11
01
10
00
10
00
00
11
10
01
00
10
00
11
11
00
00
00
00
10
10
00
11
10
11
00
00
10
11
11
11
10
01
11
11
00
10
10
01
00
00
10
11
00
01
00
00
00
10
11
00
01
11
10
01
00
10
11
00
00
10
00
01
00
10
00
01
10
10
11
00
01
10
10
10
00
00
11
00
01
10
01
10
11
01
01
11
10
10
01
10
10
01
00
10
10
10
10
10
10
01
01
01
10
00
01
11
10
11
00
01
00
10
10
11
00
10
11
00
10
10
00
00
01
10
10
10
00
10
01
11
10
01
01
10
10
10
01
11
10
01
10
10
10
10
00
00
10
10
00
00
10
10
10
00
11
10
01
00
00
10
00
10
11
00
01
11
00
10
10
01
01
01
11
10
10
10
01
00
10
11
01
10
11
01
01
10
00
01
00
10
10
01
01
10
00
11
10
00
10
10
00
00
00
00
10
10
11
10
00
10
10
11
00
00
00
00
11
00
11
11
00
10
10
01
00
00
11
10
00
10
01
00
10
11
10
11
00
00
10
10
10
01
11
10
01
01
00
00
10
01
00
01
10
10
00
11
00
00
10
10
00
11
00
01
10
11
11
00
01
10
11
10
10
00
00
00
10
10
10
00
11
11
01
00
00
00
10
00
00
11
10
10
00
00
00
10
00
10
11
11
10
10
10
11
11
01
01
01
10
01
01
10
11
11
10
00
01
01
01
00
10
10
00
11
11
00
01
00
11
11
11
10
01
00
10
10
10
10
00
00
01
00
00
10
10
00
10
11
11
01
11
10
11
01
10
00
00
10
00
10
10
10
01
01
01
01
00
01
10
11
00
00
11
10
11
10
00
00
11
10
00
10
10
01
01
00
10
00
00
00
01
00
10
11
00
11
01
10
10
00
10
11
00
01
00
00
00
00
10
10
10
01
10
10
11
00
00
00
11
11
00
01
00
00
10
10
00
00
00
11
10
00
10
01
00
10
00
11
01
10
00
00
11
00
10
00
00
00
10
00
10
01
10
11
10
01
00
01
10
11
10
01
10
10
00
10
11
00
11
01
10
00
00
00
00
01
10
11
01
01
10
00
00
00
10
00
10
11
00
10
00
10
00
10
00
00
11
10
00
10
11
00
10
10
11
11
00
10
00
00
10
10
11
00
00
11
01
00
00
10
10
10
01
10
01
10
00
00
01
00
00
11
11
10
00
00
00
10
11
00
01
11
10
00
10
00
01
10
10
01
01
11
11
00
00
01
10
00
10
10
10
11
01
00
00
00
11
10
10
10
00
10
10
10
00
10
00
10
01
00
10
10
00
00
11
01
10
10
01
10
11
10
00
00
10
01
11
10
00
00
10
00
01
00
10
11
10
01
01
01
01
00
00
10
00
01
01
10
00
10
10
01
10
01
00
11
10
11
01
11
11
01
10
10
11
01
00
10
10
00
00
10
10
00
00
11
00
10
01
10
11
10
00
11
00
00
10
11
10
00
00
01
10
00
11
10
10
00
00
00
00
11
11
10
00
01
00
10
10
10
10
10
01
00
11
01
00
00
01
00
00
01
10
01
00
10
01
00
11
00
00
00
00
01
01
10
10
01
01
00
01
00
10
00
01
11
01
00
10
00
01
00
01
10
11
11
00
10
10
00
01
01
10
00
10
01
11
00
10
10
10
11
11
00
10
00
00
11
11
00
01
00
10
00
00
11
10
00
00
10
10
00
00
11
10
00
10
00
01
00
01
10
10
11
00
10
00
00
00
10
10
11
10
00
00
10
11
11
00
10
00
00
11
10
00
10
10
01
00
01
00
01
00
10
01
11
11
10
00
01
11
11
00
00
10
10
01
10
10
00
01
10
00
00
10
10
00
11
00
10
10
10
11
10
01
11
01
11
11
00
00
00
00
01
10
11
00
11
00
11
10
11
00
01
10
10
01
00
00
00
01
10
11
01
10
11
10
00
11
10
00
11
00
01
00
01
00
00
00
11
10
10
01
01
00
10
10
01
00
11
10
11
00
00
10
01
00
11
01
10
00
11
01
00
11
11
11
00
10
00
10
11
10
00
00
10
01
00
00
11
00
01
10
10
00
01
01
00
00
11
01
01
01
10
00
00
00
10
10
01
00
01
11
01
11
10
00
10
11
00
01
11
10
11
10
01
00
10
00
00
11
10
10
00
11
11
00
10
10
00
00
11
11
10
01
10
00
11
00
00
00
10
10
11
00
01
00
00
00
10
10
01
01
11
00
01
11
01
11
11
10
00
00
00
10
11
00
00
10
10
00
00
00
10
00
00
00
00
00
00
10
10
10
11
00
10
10
01
10
00
00
11
01
01
10
10
00
00
10
10
00
00
00
10
10
10
10
00
00
10
00
10
10
00
01
00
11
11
11
10
11
10
10
01
01
00
10
10
00
11
10
00
11
01
00
11
00
10
10
00
00
10
10
00
10
10
10
01
00
01
10
10
10
00
00
11
01
00
00
10
00
00
00
10
10
01
01
00
10
11
10
11
10
00
00
00
10
00
10
10
01
11
10
00
11
00
11
00
00
10
10
11
00
10
10
00
00
01
00
00
10
00
00
10
00
10
10
00
01
10
10
10
01
00
10
01
00
01
00
00
11
10
10
10
00
01
00
10
11
01
00
11
10
10
00
00
10
00
01
10
00
00
01
10
10
10
11
11
10
01
10
10
10
00
10
10
01
00
00
11
01
01
00
01
01
10
10
10
00
01
00
10
10
10
11
10
01
01
00
10
10
01
00
01
00
11
00
01
11
10
00
00
10
10
01
01
10
11
00
10
10
11
00
01
10
11
00
00
00
10
10
01
11
10
00
11
01
01
01
10
00
00
01
00
11
01
11
10
10
00
10
11
01
00
10
01
10
11
01
10
00
10
11
11
00
00
00
00
10
10
10
00
00
10
11
11
01
10
10
00
01
00
10
00
10
00
01
10
00
01
01
00
11
01
10
11
11
10
00
01
10
00
10
11
00
11
00
01
00
11
00
00
10
01
01
00
00
11
10
00
10
00
00
11
11
10
01
00
00
00
11
10
01
10
10
10
01
10
01
01
10
11
10
00
00
11
11
00
10
11
00
00
10
00
00
10
00
00
11
00
10
10
01
11
11
11
01
00
00
10
10
10
00
01
10
10
10
10
00
01
11
10
00
00
00
10
10
00
10
11
00
01
10
11
10
01
10
00
00
10
10
00
00
11
01
01
10
01
10
11
10
10
00
10
10
00
10
10
10
11
00
01
10
11
11
00
01
11
00
10
01
10
00
10
11
00
11
10
00
01
01
10
00
01
10
10
00
01
01
10
10
10
00
00
10
00
01
00
00
11
00
01
01
01
00
11
11
11
10
00
11
01
10
11
10
11
00
10
00
10
01
01
10
00
10
01
00
00
00
10
10
01
10
10
11
11
10
10
00
01
10
11
00
01
11
10
00
10
00
00
01
10
10
10
10
00
01
10
10
00
10
11
01
10
10
10
01
10
10
10
00
00
11
11
10
00
11
10
01
00
11
00
01
10
01
10
11
00
01
10
10
00
00
10
10
10
00
00
11
00
01
00
10
10
01
10
10
10
00
00
10
11
00
10
10
00
00
10
10
11
00
11
10
01
10
10
11
00
10
00
00
10
10
00
11
01
10
00
10
10
10
01
10
10
00
00
00
10
11
10
01
00
10
00
11
10
00
10
00
00
01
10
11
10
11
01
01
10
11
10
10
10
01
00
01
11
10
10
11
00
00
10
11
00
00
10
10
00
00
10
10
10
01
10
00
10
10
01
00
11
00
00
00
10
00
00
00
11
10
00
10
10
10
10
10
10
01
11
01
10
00
00
00
00
11
10
00
10
10
10
10
11
01
00
01
00
00
10
00
00
00
10
10
11
10
01
00
10
11
00
11
00
00
10
00
01
10
10
10
11
00
10
10
00
10
11
00
11
10
00
10
01
11
10
10
00
10
11
00
01
00
00
01
00
10
10
00
10
00
01
00
00
10
11
01
00
11
00
00
11
11
00
00
11
10
01
11
10
11
01
10
11
10
00
10
00
00
10
10
00
00
10
01
00
10
00
00
00
11
00
11
00
00
10
11
11
01
10
10
00
10
00
00
00
10
00
00
01
10
11
01
00
00
11
10
00
00
11
11
00
01
10
10
10
00
00
01
11
10
10
00
10
11
10
01
00
00
00
00
11
11
10
01
00
10
10
11
10
00
00
10
11
10
11
00
00
10
01
10
11
10
00
10
00
11
01
10
01
00
11
11
01
01
11
01
01
01
01
10
10
01
00
01
10
10
00
01
10
01
00
11
10
00
01
10
11
00
10
11
10
00
00
00
10
11
01
00
01
10
01
10
01
11
11
00
01
11
01
10
00
00
10
10
10
11
11
10
00
00
10
00
00
10
01
10
11
01
10
11
10
11
00
01
10
00
01
10
10
00
10
10
00
10
11
01
11
00
00
10
00
01
00
10
11
10
10
00
10
01
00
00
00
00
10
10
00
11
00
00
11
10
00
10
00
11
10
00
00
10
10
01
00
01
11
11
10
10
11
10
01
00
01
00
00
10
01
01
10
00
01
10
10
10
10
00
00
00
10
00
00
10
10
10
00
11
00
00
00
00
10
10
10
00
10
11
00
01
00
00
11
10
00
11
00
00
00
10
10
10
00
01
10
11
11
11
00
11
10
00
01
10
00
11
00
01
11
10
11
11
00
01
11
10
11
10
01
00
00
10
10
01
01
11
10
10
01
01
00
10
10
00
01
01
01
10
00
10
10
00
00
11
01
01
10
11
10
10
00
00
10
11
00
10
01
01
00
10
00
10
10
10
00
10
11
10
00
00
10
11
01
00
10
10
01
11
01
00
10
11
01
00
10
10
00
00
01
10
10
11
00
11
11
00
00
10
00
10
00
00
11
00
00
11
11
00
10
10
00
01
11
11
11
01
00
11
00
11
10
00
00
10
01
01
10
10
10
10
00
10
10
10
11
00
10
00
11
11
11
11
00
10
11
00
00
01
10
11
11
10
10
01
01
10
00
00
11
10
10
00
10
00
11
00
10
11
00
00
10
10
00
00
10
10
11
00
11
10
11
00
00
10
01
10
11
10
00
01
10
00
10
10
10
00
01
00
01
00
10
01
00
11
10
11
00
00
01
10
10
11
10
10
11
01
01
10
00
01
00
11
00
01
11
10
01
00
01
11
11
10
00
00
00
00
10
01
10
10
10
10
10
00
01
10
00
00
01
00
11
00
00
10
10
01
00
11
10
01
10
10
00
00
10
10
00
01
11
11
10
10
10
01
01
01
10
10
11
11
01
01
11
10
11
00
01
10
11
01
10
10
00
00
10
10
00
00
11
11
10
11
10
11
10
10
00
10
10
11
10
00
11
10
11
00
00
10
10
01
01
00
10
00
01
00
11
11
00
00
10
10
11
00
00
00
10
00
10
00
10
00
01
00
00
10
10
00
00
00
10
10
10
01
10
11
00
00
00
10
10
00
00
10
10
01
00
10
00
10
10
01
11
00
11
10
10
11
11
11
01
00
00
00
01
00
00
10
01
00
00
10
10
00
11
10
11
10
11
11
10
01
11
11
01
01
10
10
00
01
10
01
01
10
10
10
10
10
11
00
10
11
00
00
00
10
00
10
00
10
10
00
01
00
10
10
00
00
01
10
10
10
00
01
01
00
00
10
10
10
00
00
00
10
10
11
00
10
00
00
10
00
11
10
10
00
11
00
00
00
11
10
10
11
10
00
10
10
10
11
00
01
10
01
11
10
10
00
10
10
00
00
10
10
10
10
10
10
00
00
11
00
10
00
11
00
11
10
00
11
10
11
00
00
10
10
00
01
10
11
10
10
01
00
00
10
10
00
00
01
10
01
01
00
10
00
10
11
10
00
01
10
11
10
11
00
00
10
00
10
10
11
01
10
00
01
01
11
10
00
10
01
00
11
01
00
00
00
00
10
10
01
01
11
10
10
11
10
01
00
00
10
11
00
00
01
11
10
00
00
11
11
10
01
01
10
11
10
00
01
00
00
00
00
10
11
00
01
11
11
00
11
10
00
10
10
11
00
10
10
10
01
00
10
11
11
10
10
00
11
11
10
00
00
10
10
01
00
10
10
00
10
11
00
11
11
00
00
10
01
01
10
11
01
10
11
00
00
10
01
01
10
01
01
10
10
10
00
01
10
11
11
01
01
01
00
11
10
01
10
10
01
00
10
10
10
00
00
00
01
11
10
01
00
11
00
00
00
11
00
10
10
00
10
10
01
10
10
01
10
01
00
00
10
11
10
00
00
11
00
00
10
00
00
10
00
10
10
01
11
10
01
00
01
10
10
00
11
10
00
10
01
10
10
01
10
10
10
00
00
10
00
10
11
00
10
01
00
10
00
01
10
01
10
00
00
11
01
11
00
10
10
00
01
11
00
10
10
01
11
01
10
01
00
00
10
00
01
10
10
10
10
00
00
01
11
11
00
01
00
11
01
11
01
10
11
00
10
11
10
01
10
10
00
01
11
11
10
00
11
00
00
10
11
00
10
00
00
10
11
01
11
00
00
10
11
10
11
00
00
10
00
10
10
00
00
10
11
00
10
10
00
11
01
11
11
10
10
01
10
00
00
10
10
11
00
00
00
10
11
10
00
10
10
10
00
00
00
01
00
10
11
11
01
01
00
10
00
10
10
10
00
10
10
10
00
01
10
01
10
01
00
00
00
00
01
10
01
10
00
11
11
00
00
10
00
00
10
10
10
00
10
11
10
10
00
00
00
00
00
10
01
10
01
01
11
10
00
01
01
10
00
00
10
11
10
11
01
00
11
00
00
10
10
00
00
10
00
10
00
10
00
10
10
01
10
01
11
10
00
10
11
10
10
01
00
00
00
10
10
11
00
10
00
00
10
11
10
10
10
01
10
11
00
10
01
00
10
01
11
10
00
00
10
10
01
00
01
10
10
10
10
10
10
00
00
00
10
11
10
11
01
11
10
01
11
11
00
00
01
00
10
00
10
11
01
00
10
11
10
10
00
11
10
01
11
11
00
11
01
00
00
10
00
11
11
00
01
00
10
00
10
11
01
00
10
00
00
11
00
11
10
10
10
00
01
00
01
00
01
10
00
00
00
11
00
11
11
10
00
00
01
00
01
10
11
00
10
10
10
10
01
11
10
00
01
00
01
10
10
00
10
10
01
11
10
10
10
01
11
11
00
00
10
10
11
00
10
10
11
11
00
11
00
00
00
01
11
01
01
01
11
10
00
10
11
11
00
10
10
00
10
10
00
00
10
11
00
11
10
10
10
01
00
11
00
00
11
10
11
00
10
10
01
00
11
01
01
11
11
11
01
00
10
10
11
01
00
10
00
00
10
10
00
10
10
10
00
00
01
00
10
11
01
10
10
01
00
01
10
01
11
11
01
11
00
00
11
10
01
00
00
10
10
01
10
10
11
00
00
01
10
10
10
01
11
01
00
11
00
10
10
00
10
10
00
01
00
00
00
00
00
01
11
10
00
00
11
01
00
11
00
01
00
01
10
10
10
11
01
00
11
11
00
00
01
10
10
00
00
11
11
00
00
11
10
10
10
00
00
10
10
10
00
01
10
10
11
10
00
00
10
00
00
00
10
00
00
10
00
11
10
01
00
10
11
10
11
11
01
00
10
00
01
01
11
10
01
00
10
00
10
10
00
00
00
00
10
10
10
10
10
10
00
00
01
10
11
10
10
00
10
10
01
01
11
00
10
10
10
01
00
00
10
10
10
10
00
11
00
01
10
10
11
10
10
00
10
10
01
01
00
00
10
10
00
00
11
10
00
10
00
00
00
00
10
10
11
11
00
11
01
01
11
00
10
01
00
00
00
10
10
00
10
00
10
00
00
00
00
11
10
00
10
10
01
01
01
11
11
01
10
10
00
10
11
01
00
00
10
10
10
00
01
00
01
10
00
10
00
10
01
01
11
10
11
01
10
10
00
00
10
10
11
11
10
01
00
01
11
10
00
01
00
11
10
00
11
11
10
01
10
10
01
10
00
01
10
10
11
00
01
11
10
10
00
10
10
00
01
00
00
00
00
11
00
11
00
11
11
00
10
01
10
11
11
11
00
01
00
00
11
11
00
11
10
11
01
00
11
00
10
10
01
00
00
00
10
10
01
10
01
00
01
10
10
10
01
11
10
10
10
01
10
10
00
10
11
00
10
11
11
01
10
00
00
01
00
00
10
01
10
01
11
10
01
01
00
10
00
00
11
11
10
00
01
01
10
00
00
00
00
10
10
00
01
10
00
10
00
00
10
10
11
11
11
10
11
00
11
00
00
11
11
10
00
00
00
01
00
10
10
10
10
00
00
11
10
00
01
00
00
00
00
01
10
00
11
00
00
01
10
00
00
11
01
10
10
10
10
00
01
00
10
10
00
11
11
00
11
10
00
10
01
00
00
10
11
00
00
00
11
10
00
00
00
10
00
00
10
10
10
10
10
11
11
00
01
11
10
10
00
01
10
10
00
01
10
10
10
10
00
10
10
01
00
10
01
01
01
01
10
10
10
11
00
01
10
11
00
00
00
10
10
00
00
11
00
10
10
10
10
00
10
00
10
10
10
11
11
01
10
11
10
01
11
00
00
11
00
01
01
10
11
10
00
00
00
10
00
01
10
00
00
10
10
10
00
00
00
01
10
10
01
10
01
10
10
10
01
11
10
10
01
10
10
11
00
01
01
11
01
01
00
10
10
01
00
11
10
01
10
00
00
10
00
00
00
10
00
11
11
00
00
10
10
11
11
01
10
01
01
00
00
10
00
10
01
00
10
10
01
10
00
00
11
11
10
00
00
00
00
10
00
00
10
01
01
10
10
11
10
01
10
01
10
10
00
11
10
00
00
11
00
00
00
00
11
00
01
00
11
01
01
10
11
10
10
00
00
10
00
00
11
10
10
10
01
10
10
10
00
01
10
01
10
00
00
00
00
10
01
00
00
00
00
10
00
00
11
10
11
00
00
00
01
00
10
10
00
01
10
01
11
10
00
11
10
10
10
01
10
11
00
00
10
10
01
11
10
01
00
10
00
11
00
00
00
11
10
11
01
10
10
00
00
01
00
11
00
00
10
00
00
01
11
11
01
10
10
10
11
00
01
10
00
11
10
10
10
10
00
00
00
11
10
11
01
00
00
10
11
10
00
01
00
11
01
10
10
00
10
11
00
01
00
00
10
11
00
00
10
10
00
10
10
10
11
01
00
10
11
00
00
01
00
10
00
10
10
01
11
00
10
10
00
00
11
10
10
10
00
01
01
11
00
10
00
11
01
10
10
00
10
00
01
11
10
01
11
00
01
10
11
00
11
01
00
11
00
11
10
01
10
01
10
10
11
10
10
10
10
00
00
11
10
11
11
11
10
10
01
00
01
11
00
01
10
10
00
11
10
01
01
11
10
00
11
00
00
00
00
10
10
00
10
10
00
11
11
00
00
00
10
00
10
00
10
10
00
10
10
10
11
10
11
10
00
10
00
00
11
01
00
00
00
01
10
11
01
11
00
00
01
11
00
11
00
01
01
01
10
10
10
00
11
11
00
10
10
01
10
11
00
00
00
10
00
10
01
00
00
00
00
10
11
01
00
10
00
00
10
00
00
10
11
11
00
00
10
01
00
10
10
00
01
00
00
11
00
00
10
00
10
10
00
00
01
01
00
00
00
10
00
10
10
00
01
10
00
10
00
00
00
01
10
10
10
00
00
01
11
10
00
10
10
10
00
11
11
10
11
10
00
00
11
00
00
01
11
00
10
10
11
11
11
01
00
00
11
11
00
01
10
10
01
01
00
11
10
01
01
00
00
10
00
00
01
11
10
11
10
01
00
10
00
10
10
01
00
10
11
00
10
00
11
00
10
10
11
10
00
10
01
00
00
11
00
11
01
01
11
10
00
00
11
00
10
10
10
10
01
10
11
01
01
00
10
10
00
10
10
10
00
00
01
11
00
01
00
10
00
00
10
01
00
10
01
11
01
00
00
10
11
00
01
00
11
00
01
10
00
01
10
01
11
00
11
00
10
11
10
01
10
00
01
10
01
00
11
11
01
00
11
01
10
01
00
10
00
00
00
01
11
10
10
00
11
11
10
01
00
10
11
10
10
00
10
00
00
11
10
11
00
00
01
00
10
10
11
10
00
01
00
00
01
10
11
00
10
01
00
11
11
01
11
10
11
11
11
00
00
00
10
01
11
10
00
00
10
10
00
00
10
10
10
01
11
00
11
01
00
10
00
00
00
00
10
11
01
10
10
00
00
11
00
01
10
10
01
01
01
10
11
00
01
00
11
11
10
00
01
11
10
10
00
00
10
01
01
11
11
00
11
10
01
00
00
10
01
00
10
01
00
00
00
01
10
11
01
10
10
00
00
11
00
10
10
10
11
00
10
00
10
10
01
10
10
10
00
10
00
01
01
10
11
00
11
00
01
11
00
10
10
00
01
11
10
10
01
10
01
01
10
00
01
10
11
00
00
01
01
10
10
00
11
00
11
10
01
10
11
01
10
11
00
00
10
00
00
01
00
10
00
10
00
10
00
01
01
11
01
00
10
01
10
00
10
11
01
10
10
00
00
10
01
00
10
10
10
00
00
00
00
11
11
01
00
00
00
11
10
10
00
10
10
11
10
01
10
10
10
01
10
10
00
10
10
00
01
10
01
00
01
00
10
11
00
11
10
00
10
01
00
10
10
00
10
10
11
10
10
11
11
01
00
00
00
01
10
10
10
10
10
10
10
00
00
10
11
10
10
00
00
10
01
10
00
10
10
00
01
11
11
01
10
11
00
00
10
01
00
10
10
00
00
00
10
10
01
00
11
10
01
00
10
01
01
11
11
01
11
00
00
10
00
00
10
10
10
00
00
01
11
11
10
00
11
10
00
10
01
00
10
00
10
10
00
10
10
00
10
00
10
00
00
01
01
11
11
10
00
00
11
10
10
01
00
01
10
00
00
10
10
10
11
10
00
00
11
00
01
00
10
00
00
00
10
00
01
11
10
01
10
10
00
00
11
11
10
00
10
10
01
10
11
00
00
10
00
11
11
10
01
10
10
01
11
00
11
10
01
10
10
00
10
10
00
00
10
00
11
00
00
10
01
11
10
00
00
10
11
00
00
10
11
10
10
00
11
11
01
00
10
11
00
01
10
10
10
11
01
01
00
10
10
10
10
10
11
10
01
10
10
10
00
10
10
00
11
11
00
11
10
10
00
00
00
11
11
00
10
10
11
00
00
10
01
00
11
10
01
00
00
00
01
00
11
10
11
11
00
00
00
10
11
11
00
01
00
00
10
11
11
01
10
11
01
01
00
00
10
11
00
00
11
00
10
00
10
10
00
01
10
10
00
10
10
00
10
11
10
00
01
10
01
10
11
11
00
10
00
00
11
11
00
00
00
01
00
00
10
10
10
10
01
10
00
01
10
00
10
00
10
10
01
10
10
01
00
00
01
10
10
10
00
00
00
10
10
00
00
10
10
00
10
10
00
00
10
00
00
00
10
11
00
01
00
01
10
01
11
11
10
01
00
11
00
01
00
11
10
00
10
11
10
01
01
10
10
00
00
00
00
10
10
01
01
10
10
10
10
01
01
00
00
10
01
00
10
10
00
11
10
11
00
01
10
11
01
01
01
10
01
00
11
10
11
00
10
01
01
11
10
10
00
10
11
01
01
10
11
11
10
00
00
10
10
00
11
11
01
00
11
11
00
11
11
01
01
00
00
00
01
10
00
10
10
11
00
00
10
00
00
11
10
00
00
01
01
00
10
01
00
00
01
00
10
00
00
10
10
01
10
01
00
10
10
10
00
01
01
10
10
11
00
10
00
00
11
11
00
10
11
00
01
00
10
00
00
00
11
10
01
00
01
10
01
00
11
11
01
00
10
10
11
00
00
00
10
01
00
00
10
00
00
01
11
11
10
00
00
01
01
00
10
11
10
00
01
01
10
00
01
10
01
01
11
10
01
00
00
11
10
10
10
00
01
01
10
00
00
00
00
00
01
10
00
11
11
00
00
00
10
00
00
00
10
01
00
11
11
10
10
01
11
10
01
00
10
00
00
00
01
11
10
00
01
10
01
10
10
00
00
00
00
00
11
01
00
00
10
00
10
10
00
10
11
00
01
00
00
10
11
00
11
11
01
11
11
00
01
10
10
00
01
10
01
10
01
00
10
10
00
11
11
10
11
10
10
00
00
00
00
10
00
10
10
00
01
10
01
01
11
10
11
00
10
10
10
00
10
00
10
10
00
00
01
10
00
10
10
10
11
01
01
10
10
10
00
00
10
10
00
01
00
10
10
00
00
10
00
00
11
11
10
10
10
01
00
01
10
00
10
01
10
11
01
10
00
10
10
01
00
00
00
10
11
01
10
11
11
01
00
10
11
10
10
01
00
11
10
00
00
00
01
01
01
10
11
11
11
00
01
01
00
10
11
00
11
10
10
10
00
01
10
10
00
01
11
00
11
10
10
10
00
00
10
10
11
01
00
10
00
00
10
00
10
10
10
11
00
00
01
01
10
11
01
00
00
10
00
00
10
10
01
10
00
01
00
11
10
00
10
10
00
11
01
01
01
10
00
00
00
10
10
00
00
10
11
11
01
10
01
00
10
10
11
00
00
10
10
10
01
10
10
01
00
10
00
10
10
11
10
01
11
11
01
01
00
10
11
10
10
00
01
11
10
10
10
01
11
10
01
10
11
00
00
00
11
11
00
00
10
10
10
00
11
01
00
01
00
10
10
00
10
10
10
00
00
11
11
10
00
10
00
11
00
00
10
10
11
01
00
01
00
00
00
01
10
10
00
01
10
11
00
00
10
10
10
10
00
01
00
10
11
00
00
00
01
10
10
11
10
00
10
11
00
10
10
00
01
10
10
10
11
10
00
10
01
10
00
00
11
10
11
01
01
01
10
01
01
00
10
00
00
10
10
00
10
10
00
01
10
01
10
00
01
10
10
00
01
10
10
00
11
10
10
10
10
10
11
00
00
00
00
00
00
00
10
11
10
11
00
01
00
11
01
10
01
00
00
00
01
10
11
10
00
01
00
11
11
01
00
10
00
11
00
00
10
10
10
00
10
10
11
01
10
11
11
10
01
11
00
01
10
10
10
00
10
00
00
11
10
11
11
11
00
10
10
10
00
00
00
11
01
11
00
00
10
00
00
00
10
00
10
10
00
00
00
10
00
01
00
11
10
10
11
00
00
10
10
10
10
10
10
00
11
00
11
11
01
00
00
01
10
11
00
10
11
10
01
00
10
10
00
10
00
10
11
10
01
00
10
01
11
10
11
11
00
00
11
11
11
00
01
10
01
01
10
11
00
00
10
00
00
01
01
11
10
10
11
00
00
10
00
10
00
10
11
00
00
10
10
00
01
01
10
01
11
00
01
11
10
00
00
11
00
10
10
01
00
00
11
10
00
00
01
11
01
10
10
00
00
10
10
01
00
00
01
10
11
00
00
00
00
10
10
00
00
00
11
11
11
10
01
00
00
00
00
11
00
00
11
10
00
11
10
00
00
01
11
10
01
00
00
01
01
10
01
01
11
00
01
10
01
10
11
10
00
00
10
10
01
11
01
00
11
00
00
11
11
01
11
01
01
01
10
11
00
11
10
00
00
00
10
11
11
01
01
10
01
11
00
01
10
10
01
01
10
00
00
11
11
00
00
10
00
11
11
00
11
10
00
00
00
10
01
10
10
10
00
00
01
01
00
10
10
00
01
10
10
00
00
00
00
10
11
00
00
10
11
10
10
01
01
00
00
10
11
10
01
11
00
00
10
10
10
01
00
00
11
01
01
00
10
10
00
00
00
11
10
10
00
10
10
10
00
00
10
10
10
00
01
00
01
10
01
00
01
11
11
00
01
01
10
00
00
10
00
00
11
01
00
00
11
01
00
01
01
10
10
00
10
11
00
01
11
10
10
10
00
00
00
10
01
00
10
00
10
10
00
01
11
00
10
11
00
01
00
01
00
11
10
00
10
11
01
00
10
11
10
11
00
11
01
01
11
11
01
00
01
11
10
00
01
10
00
00
10
01
01
10
01
10
11
10
01
00
10
00
01
01
10
10
10
00
11
10
10
00
01
10
01
10
10
00
00
11
10
10
00
01
10
10
10
00
00
00
01
00
01
10
10
10
10
01
01
11
10
01
00
00
10
01
11
11
01
00
01
10
00
01
11
11
00
00
10
00
11
10
01
00
01
00
01
00
10
11
01
10
10
00
00
00
11
10
10
01
01
10
00
10
10
11
10
00
11
11
01
11
00
10
00
10
11
01
00
00
00
11
10
00
10
10
11
00
00
00
10
10
11
01
01
10
10
10
11
10
00
00
10
00
10
11
00
10
01
10
01
10
01
00
01
00
11
00
01
01
11
01
00
10
01
00
11
10
00
01
00
00
11
10
01
01
11
10
10
01
00
00
10
00
00
00
10
00
10
10
10
10
10
00
00
10
10
10
00
11
00
00
10
10
10
10
00
10
10
00
00
10
00
11
00
00
10
10
00
00
10
10
11
11
01
00
11
00
11
00
01
11
10
10
01
00
10
10
01
10
00
00
10
00
00
10
10
11
00
10
10
10
00
11
01
01
10
10
11
10
10
00
01
10
10
00
11
10
10
00
10
11
00
11
01
00
10
10
10
00
10
00
11
10
00
00
10
00
00
10
00
01
10
10
10
00
10
10
10
00
10
00
10
10
00
11
11
10
10
00
01
00
10
10
10
00
01
01
11
10
00
01
10
00
00
10
01
10
10
00
00
10
11
01
00
01
00
00
10
01
10
01
00
10
10
01
10
11
00
00
01
11
01
11
00
01
00
10
10
00
11
00
00
10
00
11
00
10
00
11
10
01
11
01
01
10
11
10
11
00
01
10
11
10
00
11
10
00
00
00
10
01
00
11
00
00
11
00
11
10
10
00
11
11
00
11
00
01
10
10
11
00
00
11
11
10
00
11
00
00
00
00
10
00
10
10
00
00
10
10
10
00
11
00
11
01
10
01
10
10
11
10
00
10
00
00
01
00
10
10
10
10
00
11
00
10
10
10
10
10
01
01
01
01
01
10
10
00
01
00
10
11
01
10
10
01
10
01
10
00
00
00
10
10
10
10
11
10
00
01
01
01
11
00
10
10
01
01
00
10
10
11
10
00
00
00
11
10
10
00
11
10
10
10
11
10
00
10
11
10
00
01
01
10
10
10
01
11
10
00
00
11
00
10
10
01
00
00
10
11
10
01
00
10
00
01
00
10
11
00
01
10
01
10
01
11
10
00
01
11
11
10
00
11
10
11
00
00
11
11
00
11
00
00
10
01
10
00
00
10
10
00
00
00
00
00
01
11
00
01
10
00
00
01
01
11
00
10
00
01
11
01
11
00
00
11
10
10
00
00
11
01
11
11
10
01
00
10
00
00
00
10
10
01
00
11
00
10
10
00
11
10
10
10
00
00
10
10
11
00
01
11
01
01
01
10
10
00
00
01
10
10
00
10
00
00
00
11
10
10
10
11
11
10
00
00
10
10
00
11
01
00
00
00
01
00
10
01
10
00
11
01
10
01
01
00
10
00
00
10
00
00
11
10
01
00
11
00
00
10
00
00
11
01
11
10
00
01
10
00
01
10
00
10
10
00
10
01
01
10
10
00
10
10
00
10
00
00
10
00
11
10
01
01
11
00
00
01
10
00
11
11
11
11
00
01
10
10
01
00
11
10
10
01
10
10
11
00
01
11
11
10
00
00
11
01
10
01
10
11
10
11
00
11
11
01
00
10
11
00
00
10
10
01
10
00
00
10
00
00
10
11
00
00
11
11
01
10
11
10
10
10
00
10
00
10
10
00
00
00
00
10
11
10
10
00
10
00
01
10
10
00
00
10
01
00
10
00
01
10
00
00
10
00
01
10
00
10
10
00
00
10
11
10
11
00
10
00
01
00
00
01
11
00
01
00
01
00
10
11
11
01
00
10
10
00
00
11
10
01
10
11
00
10
10
00
10
00
10
11
10
01
10
10
00
00
11
10
10
01
10
10
11
00
00
01
10
11
00
10
00
00
10
10
00
00
10
01
11
00
11
11
10
11
01
00
00
11
10
00
00
10
01
11
10
11
10
10
10
00
00
10
00
00
10
10
00
01
10
00
00
10
01
00
10
00
01
00
10
00
01
10
10
11
00
00
01
10
10
00
10
10
00
00
00
11
10
11
01
00
10
10
10
00
00
10
00
01
00
00
10
10
11
11
10
01
00
01
00
10
10
11
00
00
11
00
01
00
11
00
00
01
10
01
10
10
01
00
00
00
10
10
10
01
01
10
01
01
00
01
01
00
10
10
11
10
10
01
01
00
00
01
11
01
01
11
10
01
01
01
11
10
00
00
10
10
11
00
01
10
10
01
10
10
00
00
01
11
00
00
10
11
00
11
00
10
01
10
10
00
10
11
00
00
00
00
01
01
00
10
11
10
10
00
00
11
11
00
01
10
01
10
11
00
00
10
10
01
01
10
11
01
00
11
10
11
10
00
00
00
10
10
01
00
01
10
00
00
10
10
10
00
00
01
01
00
01
10
00
10
00
00
10
10
00
10
00
00
10
01
00
10
11
10
01
10
10
01
10
11
10
00
00
10
00
00
01
10
11
10
01
01
10
10
00
10
10
01
10
10
01
00
10
10
01
00
01
00
11
00
00
00
10
00
00
00
10
10
11
11
10
00
00
01
11
00
11
10
01
10
10
00
00
10
11
00
01
00
01
00
10
11
11
10
01
10
10
10
00
10
11
01
01
10
00
00
10
11
00
00
10
10
00
10
00
00
10
00
01
10
10
11
00
10
11
01
00
10
10
00
00
00
10
10
10
10
11
10
10
10
00
01
11
11
00
00
00
11
10
01
10
10
00
11
11
11
01
00
00
11
00
00
10
10
01
10
10
00
00
11
00
00
11
10
11
00
00
10
00
00
00
10
01
01
11
11
10
01
00
10
00
10
10
00
10
00
00
10
10
00
10
00
00
01
00
00
10
00
01
00
00
11
01
00
10
10
01
00
01
00
11
11
00
11
10
00
00
00
10
10
00
10
10
00
10
10
11
10
01
01
00
00
01
11
01
01
10
11
00
00
10
11
00
00
01
11
01
10
01
00
11
00
00
00
11
00
01
00
10
11
10
00
00
00
10
10
11
01
10
10
10
10
10
00
10
11
00
00
10
00
00
00
01
00
00
11
10
00
00
10
11
11
11
01
10
11
01
10
00
10
00
00
11
11
00
10
01
01
00
00
11
00
01
10
00
10
00
00
10
10
00
01
10
10
00
10
10
00
00
10
01
01
01
01
01
10
11
10
01
00
10
10
00
10
10
00
01
11
10
01
00
00
11
11
00
11
00
01
00
11
00
00
00
10
00
00
10
11
10
10
00
00
01
10
11
11
00
00
10
10
10
00
00
00
10
00
00
10
01
00
00
00
10
10
10
11
10
11
01
00
00
01
00
10
00
00
10
11
10
00
01
10
10
00
00
10
01
00
01
11
00
00
01
10
00
00
10
10
00
00
10
01
10
01
00
10
00
11
11
00
11
01
10
11
00
01
10
10
11
11
11
00
01
10
00
00
11
11
00
10
10
10
10
01
01
01
10
01
11
10
00
01
10
00
10
10
00
01
01
10
10
11
10
01
11
00
10
10
01
11
01
01
11
10
01
01
11
10
01
00
10
11
01
11
11
01
00
11
10
10
00
00
10
00
11
11
00
10
11
00
10
00
10
11
00
01
10
10
00
00
10
00
11
10
01
00
10
00
10
10
10
11
01
01
10
01
00
11
10
00
01
10
01
00
11
01
00
10
11
10
01
01
10
10
10
10
00
00
11
00
11
10
01
10
00
10
10
10
10
10
01
10
10
00
00
00
01
10
10
11
11
10
00
01
01
01
01
10
11
00
10
10
00
00
10
11
00
10
10
10
00
01
00
00
01
10
00
10
10
01
10
10
10
11
11
00
00
00
00
01
10
01
10
10
10
10
10
00
10
10
10
00
00
11
11
00
00
11
01
10
10
01
00
10
10
01
01
10
10
10
10
10
00
00
10
00
00
01
10
10
11
11
00
10
00
00
11
00
01
10
11
10
00
01
00
01
00
10
10
11
00
00
01
10
10
00
01
10
00
10
11
10
01
00
01
00
10
00
00
00
00
00
10
00
10
10
00
00
11
01
10
10
11
10
01
10
00
11
01
10
00
01
10
00
00
01
10
11
10
10
11
01
10
10
01
11
00
10
10
00
01
10
11
00
10
10
11
10
10
10
00
01
10
00
00
00
11
10
00
00
11
10
10
10
10
10
00
10
00
01
10
00
00
10
01
00
00
10
10
10
11
00
10
10
01
10
00
00
01
01
11
10
01
11
00
01
11
00
00
00
11
00
00
10
11
10
01
00
00
01
11
00
00
00
11
10
11
11
01
00
00
10
11
00
00
11
10
00
11
01
00
11
10
00
10
01
00
00
01
10
11
00
10
00
01
00
10
10
01
01
00
10
00
00
11
01
00
00
00
11
00
01
10
11
00
00
10
01
00
11
00
01
00
00
01
11
10
10
01
10
10
00
10
01
00
11
11
01
11
00
01
00
00
11
10
11
10
11
00
11
00
00
00
10
00
00
11
00
01
10
01
00
10
10
00
11
11
01
00
00
11
00
11
00
00
11
00
11
11
10
00
10
01
00
10
10
10
00
01
00
11
11
11
10
01
01
10
10
00
11
10
10
00
10
01
00
10
10
10
10
01
00
10
00
00
10
10
00
00
10
10
00
10
10
11
01
00
11
00
00
00
10
00
00
11
10
10
00
01
11
00
10
00
00
00
11
11
00
10
11
00
00
11
10
01
11
00
00
01
11
10
11
00
01
00
10
11
00
11
11
10
00
10
11
00
10
10
10
10
11
10
00
10
00
00
00
10
01
00
11
00
01
11
00
10
00
11
10
11
10
01
00
01
00
10
01
10
10
00
00
10
11
10
00
10
01
00
11
00
10
00
11
00
00
00
11
01
01
00
00
11
10
10
10
00
10
00
00
11
10
10
10
00
11
11
01
00
11
00
00
10
10
01
01
11
01
10
00
10
10
01
10
11
00
11
10
10
11
10
00
01
10
11
01
00
10
11
10
00
00
10
11
00
10
01
01
01
01
10
01
01
10
11
10
00
01
10
00
00
11
00
00
01
00
00
00
11
00
10
10
10
00
10
00
10
10
00
00
10
10
10
01
00
10
01
00
10
11
11
00
11
00
00
10
11
10
00
10
10
00
10
10
00
01
11
11
00
00
00
10
00
11
10
00
11
10
11
00
10
00
01
00
10
11
01
10
00
10
01
10
11
10
10
01
01
01
01
10
11
10
01
00
00
10
10
01
00
11
10
01
10
10
10
11
00
00
11
00
00
10
01
11
01
00
11
10
10
10
00
00
11
10
00
11
00
00
10
11
00
00
10
10
10
01
00
00
00
01
11
10
01
11
11
11
10
10
00
01
10
01
00
11
00
10
10
10
00
11
10
00
11
10
10
11
10
00
10
10
00
00
00
11
10
11
10
10
00
00
10
01
01
10
01
01
10
00
00
00
00
00
11
11
01
00
10
10
00
10
10
00
10
00
00
10
10
00
01
10
01
00
10
10
00
00
10
00
00
00
10
00
01
11
10
11
10
01
10
10
01
00
10
10
10
00
00
00
10
00
10
00
01
10
10
00
00
11
10
10
01
00
10
10
10
00
10
00
00
10
11
10
11
01
10
00
01
00
01
00
11
00
11
10
01
00
00
01
00
10
10
01
00
00
11
10
10
00
01
00
11
10
00
01
01
11
10
00
00
00
10
11
01
10
01
00
10
00
10
10
11
10
01
10
11
00
01
01
01
01
11
10
01
11
10
00
11
10
00
00
00
10
11
00
10
10
10
00
11
00
01
01
00
11
10
11
11
11
00
10
10
01
00
10
10
00
00
10
11
10
00
00
01
01
11
01
10
00
11
01
01
00
00
10
10
10
10
11
00
01
11
00
10
11
11
00
10
01
11
10
10
01
11
11
00
11
10
01
10
01
00
10
10
00
10
10
10
01
10
00
00
00
10
10
00
00
11
11
10
00
01
00
10
11
01
10
11
10
00
10
10
01
11
10
01
10
11
00
00
00
01
10
11
00
00
10
10
00
10
11
10
11
00
01
11
00
01
10
11
10
01
01
11
01
00
11
11
10
00
00
10
10
01
00
11
01
00
10
10
01
01
00
10
10
00
00
01
01
10
00
00
00
00
11
10
10
10
00
10
00
11
11
10
00
10
10
11
00
10
10
10
10
00
00
10
10
00
00
00
10
01
11
00
10
11
10
10
10
00
10
01
00
10
00
01
10
10
10
01
00
11
10
01
10
10
00
10
00
01
00
11
10
00
00
00
10
00
01
11
11
10
10
11
10
00
00
10
10
00
10
10
10
01
10
00
10
10
00
11
10
00
00
11
10
10
10
00
10
00
01
10
00
01
00
00
11
00
10
10
01
00
00
10
11
00
10
10
00
00
11
00
00
01
00
00
10
10
10
00
10
00
10
10
10
10
10
00
00
10
00
11
00
11
01
00
00
10
10
01
00
10
10
00
00
00
10
10
00
00
00
10
10
00
00
10
11
10
00
00
00
01
10
00
10
00
00
01
00
01
10
01
00
10
10
10
11
01
11
10
01
11
00
01
10
10
10
00
00
11
01
00
10
11
00
10
11
00
00
11
01
10
01
00
11
10
10
11
10
10
01
10
00
00
10
10
10
01
11
01
00
10
10
11
00
10
10
00
11
10
01
00
10
10
00
00
01
00
10
11
11
11
00
00
00
00
10
00
11
11
10
10
10
00
11
11
10
10
00
00
00
01
10
11
10
11
00
10
10
01
10
00
11
01
00
01
00
11
11
11
00
10
10
00
00
10
00
00
10
10
01
10
10
10
00
00
00
00
10
00
00
01
10
11
10
11
10
11
01
01
10
11
01
10
11
00
00
11
01
00
10
01
00
00
10
11
11
10
11
10
00
11
10
00
01
11
10
00
11
11
01
00
11
00
10
11
00
11
10
00
00
10
11
11
00
11
10
10
10
11
00
00
11
11
00
10
00
01
00
10
11
00
01
00
01
11
10
10
10
10
11
11
01
01
11
01
01
01
10
10
01
11
11
00
11
00
10
00
00
01
10
11
00
10
10
00
01
10
10
00
00
00
01
11
01
11
00
01
00
11
11
01
00
11
10
00
00
11
10
00
10
10
00
01
01
01
10
10
00
00
10
01
00
10
10
01
00
10
00
00
10
11
10
10
10
01
01
00
11
11
11
10
10
00
10
00
11
00
10
10
01
00
10
00
00
00
01
10
10
00
10
01
10
01
00
10
00
10
10
01
00
10
00
00
10
00
00
10
10
10
01
00
00
11
11
11
00
00
11
10
00
00
00
01
00
11
10
00
10
01
00
11
01
00
01
00
10
00
11
10
01
00
11
00
00
10
10
00
11
11
00
10
00
00
00
10
10
10
10
00
00
00
00
10
11
10
00
10
11
00
11
00
10
10
11
11
01
11
00
10
00
10
11
01
00
11
10
00
10
10
00
11
10
00
00
11
00
00
01
10
10
00
00
00
00
10
10
10
00
11
10
10
01
00
11
00
00
11
01
00
11
10
10
00
10
10
01
00
11
10
00
00
11
01
00
01
11
11
00
01
01
00
00
11
00
01
00
10
11
10
11
00
10
10
01
00
10
10
00
01
00
10
00
00
11
10
00
11
11
00
11
10
11
10
10
01
01
00
00
01
10
10
01
10
11
01
11
01
00
00
11
00
00
10
01
00
00
00
10
10
01
01
11
10
00
00
01
10
00
00
10
01
10
01
10
11
10
00
00
01
00
10
00
01
10
01
10
10
10
01
11
00
10
10
11
00
00
00
01
10
00
10
10
01
01
11
11
01
01
00
10
01
10
10
00
10
10
10
00
00
00
10
00
00
10
10
00
01
10
00
10
01
10
10
00
01
00
00
00
00
10
00
10
10
11
11
00
10
01
01
10
10
01
01
00
01
01
01
10
10
10
01
01
10
00
00
10
11
00
10
10
01
00
01
00
11
10
01
11
11
00
01
10
11
00
00
10
10
01
00
11
10
10
10
10
00
10
11
00
10
10
00
00
10
00
10
10
01
11
10
10
00
00
11
00
00
11
00
00
01
10
11
10
01
00
10
00
00
11
11
01
00
10
11
00
00
11
10
01
10
10
01
10
00
10
10
00
10
01
00
01
10
11
11
00
00
11
00
01
00
01
11
00
11
01
00
11
10
00
00
11
10
00
10
10
10
01
10
10
11
01
11
10
00
11
10
01
00
11
00
01
10
10
10
00
11
10
10
10
00
01
00
10
01
10
10
00
00
11
00
10
10
01
11
01
00
00
00
10
11
01
01
10
10
00
10
10
00
01
10
11
10
00
00
10
00
10
00
11
11
01
10
11
01
10
10
00
11
11
00
00
01
10
10
00
10
01
10
01
00
10
00
00
01
01
00
10
00
10
10
00
01
10
10
00
10
11
01
00
11
01
11
11
10
00
00
11
00
10
11
11
01
01
10
10
10
00
00
01
10
10
00
10
00
00
11
00
01
10
00
01
00
00
11
10
10
00
01
01
00
00
00
10
00
11
11
10
00
00
00
00
10
11
01
11
00
10
01
00
10
11
01
10
01
00
10
10
00
10
10
11
00
10
00
01
10
00
10
10
00
10
10
01
10
01
10
11
01
01
00
11
00
00
10
11
00
00
10
10
00
10
01
10
11
00
11
11
10
01
00
10
10
00
11
10
00
01
10
11
00
10
11
01
11
11
10
01
00
10
10
01
00
10
10
11
00
01
00
11
10
11
00
01
00
10
00
00
10
10
11
01
11
10
00
10
00
11
01
11
00
10
00
10
00
00
10
10
01
00
11
10
10
00
00
00
10
00
00
00
10
00
11
10
10
01
00
01
00
10
10
01
10
11
01
00
01
10
11
00
00
10
10
00
00
00
10
11
10
00
00
00
11
00
10
10
00
00
10
00
01
11
00
01
10
01
01
10
00
00
00
11
10
00
00
10
00
00
10
11
00
00
10
10
11
00
01
00
00
01
00
10
01
10
10
00
00
10
00
00
10
01
00
10
10
01
00
00
00
10
00
10
00
01
00
01
01
00
10
01
00
11
00
00
00
01
10
10
00
11
01
00
10
11
10
10
10
00
11
10
10
11
10
10
00
11
00
10
11
00
00
00
10
11
00
00
00
00
11
00
10
11
10
00
01
01
10
11
00
01
00
00
00
00
11
11
00
01
10
11
01
01
10
01
10
10
00
00
10
10
10
00
01
10
00
10
00
00
10
11
01
00
10
10
11
10
10
00
00
10
11
10
10
10
11
10
00
00
10
10
00
11
10
00
01
00
10
00
10
11
01
00
01
00
10
00
11
10
10
10
00
00
10
10
00
10
00
00
10
00
01
10
01
00
11
11
00
11
01
00
00
01
10
00
01
00
10
00
11
10
00
11
10
01
00
11
10
11
11
00
00
00
00
00
00
10
10
00
00
00
00
10
01
00
11
11
00
00
11
01
11
00
00
00
11
01
11
11
00
00
11
00
10
10
00
01
00
11
11
11
00
00
10
01
10
11
10
00
10
00
11
00
00
10
00
00
10
00
01
10
10
01
00
00
10
10
10
10
01
00
00
10
00
01
11
01
10
10
00
10
00
00
11
10
01
00
00
10
01
10
10
00
01
10
00
00
01
10
10
11
00
10
10
10
10
00
00
00
10
10
01
00
10
11
00
10
00
00
10
01
00
00
11
10
01
00
10
11
00
01
01
10
10
10
00
10
00
10
10
01
01
00
01
01
00
11
10
11
11
00
00
11
01
10
01
00
01
00
11
00
11
00
00
10
11
01
11
10
00
11
01
11
11
00
10
10
11
11
11
00
00
10
11
00
10
10
00
10
01
01
00
01
01
00
10
11
10
00
10
11
00
01
00
10
01
11
01
11
00
00
11
00
01
10
11
00
00
10
10
00
11
10
00
00
00
10
10
10
00
10
10
00
01
01
00
00
10
10
01
01
11
10
11
00
01
10
01
00
10
10
01
11
01
00
11
10
00
10
10
00
00
11
10
00
10
11
00
11
01
10
00
00
10
00
00
10
00
00
01
00
00
01
10
00
11
00
10
01
10
01
10
10
00
10
10
10
00
00
11
01
00
10
10
01
10
11
00
10
10
11
10
11
01
00
00
11
10
00
10
00
10
10
10
10
00
10
00
11
01
01
11
10
01
10
11
10
10
00
00
10
11
10
01
01
00
10
00
01
01
11
00
10
10
11
10
00
00
11
11
00
00
10
00
10
10
11
11
11
11
00
01
00
00
00
00
10
11
00
01
01
10
10
00
00
00
01
10
10
00
00
00
10
10
10
10
10
10
01
10
00
01
11
11
01
11
10
00
10
10
10
00
01
00
00
10
11
10
01
10
10
11
11
00
00
10
10
01
10
10
00
10
11
01
00
10
00
01
10
00
10
10
00
01
11
10
11
00
01
00
10
10
10
10
00
00
10
10
00
11
10
10
00
10
00
10
11
00
11
10
10
01
11
10
11
01
00
00
10
10
10
10
00
10
10
10
01
00
10
00
00
00
01
11
00
10
10
11
00
11
10
11
00
10
00
01
11
01
10
10
10
11
11
00
01
00
10
10
00
10
10
10
01
00
01
10
10
11
10
00
10
10
10
00
00
10
10
01
10
10
00
11
10
10
01
00
01
10
00
00
10
10
10
00
00
10
11
00
00
10
11
00
10
11
00
10
11
00
01
11
11
00
00
10
10
00
00
11
10
00
10
00
11
01
01
10
01
10
10
01
01
11
10
00
00
11
00
00
10
11
10
10
00
01
00
11
11
11
00
00
00
10
10
01
10
00
10
10
00
01
01
10
10
00
10
10
10
00
01
11
00
00
00
01
00
01
00
11
11
01
10
00
00
10
10
00
11
10
00
10
10
10
00
01
10
00
00
00
10
00
00
10
10
01
10
00
11
00
10
00
00
10
00
00
00
11
10
10
10
11
01
00
01
10
00
00
11
00
01
11
01
10
10
00
10
00
01
11
01
00
10
00
00
01
11
10
00
00
01
11
01
10
10
01
00
00
10
10
00
00
01
00
00
00
10
00
00
10
11
11
00
10
10
00
10
10
10
10
01
10
10
01
00
01
01
10
10
01
01
01
01
10
00
10
10
00
10
10
01
01
10
10
00
11
10
01
00
01
11
00
10
00
00
10
00
10
11
00
01
11
10
01
01
01
10
11
00
11
00
01
01
01
10
10
10
00
10
10
11
01
11
11
10
00
01
11
10
11
00
00
10
00
00
10
10
10
01
11
00
00
01
10
10
00
11
10
11
10
00
10
00
11
10
00
01
01
01
10
10
00
10
01
00
10
10
11
00
11
10
10
00
00
01
01
10
10
00
00
00
10
01
10
10
11
10
00
11
01
10
10
11
00
10
11
00
10
00
00
11
10
00
01
10
00
10
00
10
11
10
11
11
11
00
00
11
11
10
00
10
10
00
00
00
00
10
00
01
10
11
10
00
10
01
11
10
01
01
00
10
00
11
10
10
00
10
10
00
00
01
10
00
00
10
10
10
00
11
00
00
10
10
00
10
10
00
00
00
00
10
00
10
00
10
10
10
00
00
10
10
00
01
11
01
10
00
01
11
11
11
01
01
11
00
10
00
10
11
01
00
01
10
10
00
00
00
00
11
10
11
10
10
10
00
11
10
11
00
10
11
10
10
00
10
10
00
00
11
00
00
10
10
00
01
10
10
10
00
01
00
10
01
11
01
01
10
11
10
00
00
10
10
00
00
10
00
00
10
11
10
00
00
00
11
01
01
01
10
11
01
00
10
00
10
11
10
01
01
11
00
00
00
10
10
00
10
10
00
00
00
00
00
01
10
11
00
10
10
10
10
00
10
00
00
11
10
10
00
00
10
00
10
10
11
11
00
00
00
00
01
00
10
10
10
11
00
10
10
01
11
01
10
10
00
10
10
10
10
01
00
10
10
10
10
10
00
01
00
11
00
10
00
11
00
11
10
01
00
11
01
00
11
10
00
10
11
00
00
10
10
00
01
11
11
01
01
10
10
10
00
11
11
01
10
11
00
00
10
10
00
00
11
11
01
00
11
11
10
00
00
00
00
10
10
10
10
00
00
10
10
10
10
00
00
10
11
01
11
10
00
00
00
10
01
00
11
11
10
01
01
00
10
00
10
11
10
00
11
00
10
01
00
11
11
10
01
01
11
11
10
00
00
11
10
00
00
00
10
10
10
11
00
10
11
11
00
11
10
01
01
00
10
00
10
10
01
10
10
11
10
10
00
10
00
00
11
11
10
00
10
00
11
01
01
10
11
00
01
11
00
00
10
10
00
10
11
00
00
00
11
01
11
00
00
11
00
10
01
01
10
00
01
10
10
01
01
01
00
01
10
00
10
00
00
11
00
00
00
01
11
10
01
00
00
01
00
11
00
00
10
01
00
00
10
10
00
11
00
00
10
00
10
00
10
00
01
10
10
11
00
11
10
00
00
00
10
10
01
00
10
00
00
01
10
10
10
01
00
10
00
10
10
01
11
00
00
10
10
10
10
10
01
11
10
00
10
00
11
11
00
00
10
11
00
00
11
01
11
10
00
10
00
10
00
00
11
11
11
10
00
01
11
11
00
11
10
00
10
10
01
00
00
10
00
00
00
11
10
01
00
00
10
01
10
00
10
10
01
11
00
11
00
11
00
10
01
00
10
10
11
00
00
11
10
00
10
10
00
11
11
01
00
11
00
10
01
10
00
10
11
01
10
10
11
11
00
11
01
00
01
00
11
00
00
10
11
11
01
10
10
01
00
10
00
00
00
10
10
01
11
00
10
10
01
10
01
00
10
00
01
10
10
11
00
00
00
00
11
10
00
10
00
01
00
00
10
11
00
00
01
00
11
10
10
00
01
11
10
11
00
10
10
00
00
01
00
11
00
10
00
10
11
10
10
11
11
01
01
01
10
00
10
10
11
11
00
01
00
10
01
00
10
10
00
01
10
10
00
10
10
00
00
10
01
11
11
00
01
01
00
11
10
10
01
01
10
10
00
00
10
11
00
01
10
11
00
11
01
00
10
10
11
00
11
01
00
00
10
01
10
10
01
00
00
10
10
10
10
00
00
10
10
10
00
01
10
11
01
01
11
11
10
11
10
00
10
10
00
00
00
10
00
00
10
00
10
10
01
00
10
00
01
00
10
01
10
00
00
10
01
11
10
10
10
00
00
01
00
10
10
00
11
00
11
01
00
00
00
00
00
11
10
10
00
00
10
10
10
00
00
10
01
00
11
10
10
10
00
00
11
01
00
11
10
00
10
00
00
01
01
01
10
10
10
00
11
10
00
10
10
00
11
10
00
10
10
11
10
10
10
10
01
01
00
00
10
00
11
00
01
11
00
00
00
01
00
10
00
00
01
11
00
00
10
10
11
00
01
10
00
01
00
10
11
11
00
11
10
00
01
11
01
11
00
01
10
11
00
11
10
00
00
11
10
01
10
11
10
00
00
01
10
10
11
00
10
00
10
11
11
00
00
00
00
11
00
10
11
00
10
10
00
11
00
11
11
00
10
10
00
01
01
10
11
00
10
00
00
00
01
11
10
10
10
00
00
01
11
00
00
00
10
00
10
00
01
10
10
00
11
10
11
01
10
01
10
00
11
00
01
11
00
10
00
01
11
00
01
00
10
10
00
00
10
10
00
10
10
10
11
10
00
10
00
00
10
01
10
01
00
00
10
10
10
11
10
01
10
10
00
10
01
00
11
00
00
11
10
10
10
10
01
00
00
10
10
10
10
00
00
11
00
10
01
01
00
00
01
00
00
11
10
00
01
10
00
11
10
00
11
10
11
00
11
11
01
11
10
00
00
10
00
00
10
01
10
11
10
01
01
00
10
10
11
10
01
10
01
00
11
10
00
00
10
00
00
10
10
11
10
00
00
00
00
10
00
10
10
00
10
11
00
10
10
10
10
11
00
10
10
01
11
01
10
10
11
10
10
10
00
01
00
01
10
00
11
10
10
00
11
11
10
10
00
00
10
10
01
10
11
10
10
10
10
11
11
11
00
01
00
00
00
10
10
10
00
00
00
10
11
11
11
00
10
01
10
10
01
11
00
10
10
01
00
00
10
01
11
10
11
01
00
00
10
10
11
00
00
10
10
11
00
01
01
01
11
00
11
00
10
10
00
00
11
01
00
00
10
00
10
11
10
10
00
11
01
00
00
00
01
11
01
10
01
01
00
11
11
01
00
01
10
10
10
11
00
00
01
11
11
01
11
11
01
11
00
01
10
10
00
00
10
00
01
11
10
10
10
10
00
00
01
01
10
00
11
11
10
10
00
01
00
10
10
00
11
11
00
11
00
00
10
00
10
10
11
00
10
01
11
01
01
01
01
00
01
10
00
10
10
01
01
11
00
10
10
10
01
00
00
11
01
10
01
11
10
01
00
01
10
10
00
11
11
10
10
00
00
10
00
11
10
01
01
11
00
01
00
01
11
11
00
00
10
10
10
00
00
10
10
00
10
11
10
01
01
01
00
01
10
10
11
01
11
10
11
10
10
00
01
00
00
11
11
00
01
00
11
11
11
10
01
01
10
01
00
11
10
00
00
01
00
10
01
00
01
10
11
10
10
00
00
10
11
00
01
11
10
00
00
00
10
00
10
11
01
10
01
01
10
00
01
01
10
01
10
10
11
11
00
11
10
00
01
00
00
10
10
01
10
10
10
10
10
00
00
00
10
00
10
00
10
11
11
10
10
01
00
01
10
10
00
10
01
10
00
01
00
10
10
10
00
01
01
10
10
00
10
00
00
11
11
01
00
11
10
11
11
10
10
00
10
00
00
10
00
00
10
10
10
10
10
01
01
11
11
11
00
10
00
00
11
10
00
00
01
10
00
01
10
10
10
01
10
00
00
11
01
11
10
10
10
11
11
10
11
00
01
10
11
00
10
00
00
10
11
10
10
00
10
01
10
10
10
11
01
11
10
01
10
11
11
00
00
10
11
01
00
11
00
01
10
01
00
10
00
11
10
01
01
10
10
00
01
00
00
10
11
00
00
10
10
10
01
00
01
11
10
01
00
10
01
00
10
01
01
11
01
01
00
11
10
00
10
01
11
11
00
01
00
10
00
00
11
00
11
11
00
00
11
10
00
00
11
10
11
10
01
00
10
10
10
10
00
01
10
11
10
11
11
10
10
00
00
10
00
01
10
00
01
10
01
01
01
10
10
10
00
10
10
00
00
11
00
10
10
10
10
00
01
00
11
11
11
11
11
01
01
00
10
10
01
10
10
00
00
10
01
01
10
00
00
01
10
10
00
01
01
01
01
00
10
10
00
10
10
00
01
10
10
10
10
10
00
11
00
00
00
00
00
00
00
00
11
10
01
10
11
11
11
00
10
11
00
11
10
00
01
11
00
01
11
10
00
11
00
00
10
10
01
00
00
11
10
00
10
10
00
00
10
01
11
01
00
10
10
11
10
00
01
10
01
10
00
00
11
10
10
00
10
00
00
01
10
01
11
00
00
10
11
11
11
01
00
00
10
00
00
11
00
10
11
00
10
01
10
10
10
00
00
10
00
10
10
00
11
00
01
10
01
10
00
10
00
11
10
10
10
11
00
10
11
00
00
10
11
00
11
10
01
10
10
11
00
00
10
11
01
10
00
00
00
00
10
11
00
10
11
00
10
00
11
11
01
00
10
10
00
10
10
01
01
11
10
10
10
00
00
10
01
00
01
00
10
11
00
00
00
00
00
10
01
01
00
01
10
11
00
00
11
01
01
11
01
00
01
00
11
00
00
10
11
11
11
00
00
10
11
11
01
01
10
01
00
10
00
11
10
10
00
00
00
00
00
10
10
00
10
10
10
10
01
10
11
01
10
11
11
01
01
11
11
00
00
10
00
10
10
11
01
00
11
10
11
01
10
00
10
10
00
00
10
01
00
10
01
10
00
00
10
00
00
00
00
01
01
10
10
10
10
00
10
10
01
00
11
10
00
10
01
10
11
10
00
10
10
11
10
01
01
01
00
10
11
11
00
01
10
10
10
00
00
11
11
01
00
10
00
01
00
00
00
10
10
10
11
00
11
11
10
10
00
01
00
10
11
11
01
01
00
00
10
01
00
10
11
01
10
00
00
00
10
01
00
11
00
00
11
10
00
01
11
10
10
11
00
10
00
01
10
10
00
10
10
10
10
01
01
10
10
10
10
00
00
11
10
11
11
10
10
01
00
11
10
01
01
11
00
01
10
10
10
10
01
00
10
11
11
01
10
10
11
10
00
00
00
11
10
10
10
00
00
11
10
00
00
10
11
11
00
01
10
00
10
10
01
01
00
10
00
01
10
00
00
10
00
10
10
00
00
00
00
01
10
00
00
11
11
11
00
10
10
10
00
00
10
10
10
00
11
10
10
01
10
11
00
01
10
10
00
10
10
01
00
10
11
00
11
00
01
10
10
01
11
01
01
11
00
01
10
00
00
00
11
10
01
00
00
10
11
01
11
10
00
00
10
10
00
11
10
10
11
01
01
00
10
01
10
10
00
01
00
10
10
11
11
00
10
10
01
00
01
01
10
11
01
01
11
00
10
00
10
10
00
00
10
10
10
01
00
01
10
00
00
11
11
10
00
10
00
10
11
00
01
00
11
11
00
00
00
01
10
00
00
10
01
11
00
00
00
00
10
00
11
10
11
10
10
00
00
00
00
10
10
10
00
00
00
00
00
00
00
00
00
10
10
10
10
10
10
10
10
01
00
00
00
11
10
10
00
00
00
10
11
10
10
11
01
10
10
00
00
10
01
10
11
00
01
00
10
10
10
00
10
00
01
11
00
00
00
10
00
01
01
11
10
10
10
01
00
11
01
01
10
10
01
00
00
11
01
00
10
01
10
01
00
10
10
01
11
00
00
10
11
00
11
11
00
01
11
00
11
00
01
00
10
10
01
10
10
00
01
00
11
01
00
11
10
11
11
10
00
01
11
10
00
10
00
00
10
10
01
00
11
00
01
10
10
10
10
00
01
00
00
00
00
11
00
00
01
00
11
11
01
10
10
00
10
10
00
00
10
10
00
10
00
00
10
00
10
00
10
11
00
01
11
10
00
01
11
00
01
11
10
10
00
00
00
11
10
10
00
10
01
11
00
00
00
10
10
11
00
01
11
10
00
11
01
00
00
10
00
01
10
01
00
10
00
00
11
01
01
11
00
01
10
00
10
01
10
11
10
01
00
10
00
01
00
00
01
10
01
10
10
00
01
00
00
00
10
11
00
10
11
10
01
10
10
00
00
10
10
11
00
01
10
00
10
00
01
10
10
01
11
00
11
00
00
11
10
01
00
10
01
00
10
00
11
10
00
11
01
11
10
11
11
10
00
10
10
00
00
01
10
10
00
10
10
01
01
10
11
00
10
10
10
00
00
10
01
10
11
01
00
10
00
10
00
01
10
10
10
00
10
00
00
11
10
10
01
10
11
00
00
00
01
11
01
00
10
10
00
01
01
10
10
10
10
00
01
10
10
11
00
11
10
01
00
10
11
00
00
10
00
10
10
10
00
10
10
11
01
11
10
11
00
00
10
01
10
11
00
00
11
00
11
01
00
10
01
00
00
10
11
00
10
00
00
10
11
10
11
10
00
00
11
10
01
10
11
00
11
00
00
00
11
01
01
10
10
01
11
01
00
10
10
10
00
11
10
01
00
00
11
01
10
11
10
01
00
11
00
00
00
10
10
01
10
10
01
10
10
10
10
00
11
10
00
00
00
00
10
01
10
00
10
01
00
11
00
00
11
10
10
11
00
00
11
10
00
11
11
00
10
10
00
00
10
00
10
10
00
00
10
00
00
10
00
11
11
11
00
00
11
10
00
00
10
10
11
01
10
00
00
11
00
11
01
00
11
00
10
01
00
00
10
00
00
11
01
10
00
00
11
11
00
10
10
00
10
00
11
00
00
00
00
01
10
11
00
11
10
10
01
11
00
00
10
10
00
00
10
01
11
11
10
01
00
00
00
10
11
11
00
00
10
01
10
01
11
11
00
00
00
11
10
01
11
10
00
00
00
11
11
00
00
00
10
00
01
10
01
00
01
00
10
00
10
01
11
01
00
01
10
00
11
00
00
10
11
00
11
00
11
01
00
10
00
00
10
11
10
00
00
00
01
00
00
10
10
10
00
00
10
10
10
01
01
10
10
10
01
00
10
00
01
11
11
00
10
10
00
10
00
00
11
00
00
11
10
11
10
01
00
10
11
00
10
10
00
00
00
11
01
01
00
11
10
00
00
11
01
00
10
11
11
00
10
00
01
11
10
10
10
01
10
00
00
10
11
00
10
11
10
00
00
00
10
01
10
01
10
11
11
10
00
10
10
00
00
10
10
00
00
10
00
00
00
00
00
11
11
00
10
10
11
00
11
01
00
00
00
10
10
00
10
10
00
01
11
00
11
11
01
11
10
01
00
10
00
11
11
00
00
10
10
01
00
11
10
00
10
00
10
10
11
10
01
01
10
01
00
01
00
00
11
00
01
01
00
10
11
00
10
11
00
00
00
11
11
11
10
10
10
00
10
10
00
00
10
11
01
00
11
10
01
10
01
01
11
10
00
10
10
01
00
10
10
01
11
00
10
11
00
11
10
00
00
11
00
01
11
11
10
10
11
10
00
10
01
00
10
01
11
10
11
00
00
01
01
10
00
10
10
01
11
00
01
11
11
11
10
01
10
11
00
10
00
00
10
11
01
10
10
01
00
10
00
11
11
10
01
00
00
00
11
10
00
00
10
10
00
01
10
01
10
11
00
01
10
00
00
10
11
00
01
11
10
00
00
11
00
10
11
01
10
10
00
01
11
00
00
10
10
01
01
00
11
11
01
11
10
01
10
00
00
01
10
10
01
01
00
00
10
10
10
10
00
00
10
10
10
00
10
10
11
10
10
10
11
11
00
00
00
10
11
00
00
11
10
00
10
00
10
01
00
11
11
01
10
10
10
10
00
10
10
00
01
10
11
10
00
01
00
00
10
11
11
10
01
01
10
11
10
10
01
11
00
00
11
10
11
10
11
00
10
01
00
10
10
00
10
00
00
10
00
00
00
10
10
10
10
10
10
11
00
01
11
00
10
11
00
01
10
11
01
00
00
00
10
11
01
10
10
11
10
00
10
11
01
00
10
00
11
10
11
00
00
00
00
00
11
11
00
10
10
10
01
10
11
01
10
00
11
10
00
10
10
01
10
01
01
01
11
11
11
10
10
00
10
10
00
00
11
00
01
10
00
01
10
01
10
00
00
11
10
01
01
00
00
10
11
10
11
00
01
11
10
00
00
01
11
10
00
10
11
10
00
00
01
00
01
00
00
10
10
11
11
10
00
10
10
10
10
01
00
11
00
11
00
00
10
01
00
11
10
00
10
00
10
10
10
01
10
00
00
11
11
00
00
10
00
11
10
01
00
10
11
10
00
00
00
10
00
10
11
10
10
10
00
01
10
01
10
00
00
11
00
00
00
10
11
10
10
10
01
10
10
01
00
11
11
00
10
10
10
10
10
10
01
00
01
00
10
01
00
01
10
11
11
11
00
00
00
11
00
01
11
01
00
11
10
00
00
10
10
00
01
00
10
10
10
10
01
00
01
11
00
11
10
10
01
11
10
00
10
10
11
10
10
10
00
00
11
10
01
00
10
11
00
00
00
10
10
10
00
00
10
10
01
00
01
10
00
00
11
00
01
11
10
10
00
10
01
10
00
01
10
01
11
01
00
10
10
11
00
00
10
11
00
11
10
11
01
00
01
10
01
00
10
01
00
10
10
01
00
10
00
11
01
00
00
11
10
00
01
11
10
10
00
10
01
10
00
00
10
00
00
10
10
01
00
10
10
01
00
10
11
00
11
10
11
10
00
10
00
00
00
10
10
00
01
11
01
10
00
01
10
00
01
10
10
00
10
10
00
00
01
00
11
11
01
01
11
11
01
10
10
00
01
10
10
00
10
10
00
10
10
00
00
00
10
11
10
01
11
01
10
01
00
10
00
00
11
10
11
00
00
00
01
11
10
11
11
11
00
00
00
00
11
10
00
00
00
00
11
01
10
00
10
11
00
10
10
11
00
10
00
00
10
10
10
00
00
10
00
00
10
00
10
00
00
10
00
00
10
00
01
10
00
11
00
10
00
00
10
10
11
00
11
11
01
10
00
00
10
11
00
00
00
00
10
01
11
10
10
00
10
00
11
00
00
10
11
11
10
10
11
00
01
00
01
10
00
00
00
10
10
01
00
00
10
01
00
11
10
11
10
00
01
01
00
10
00
00
11
11
10
01
10
00
00
10
01
00
01
10
11
00
01
00
00
01
10
11
00
00
10
11
10
00
10
11
10
00
00
00
10
10
10
10
11
11
10
10
10
01
00
10
10
00
01
00
00
00
10
10
01
01
10
00
10
10
00
11
00
11
00
00
00
01
01
01
10
10
11
11
00
01
10
00
01
11
10
01
10
10
01
00
10
10
00
00
10
00
00
00
01
11
00
00
00
11
00
01
10
11
01
01
10
11
11
10
10
00
11
01
00
11
01
10
10
10
11
01
00
10
01
01
10
10
00
01
10
10
10
01
00
00
10
10
10
11
01
10
10
00
11
00
01
01
00
10
10
11
01
10
10
00
00
10
10
10
00
10
00
00
01
10
00
10
00
00
00
00
10
10
00
01
10
00
10
10
00
11
10
00
00
00
01
01
10
10
10
00
11
10
00
10
10
01
10
11
10
01
00
10
11
01
00
10
00
00
11
11
00
00
00
00
10
11
00
00
10
10
00
00
11
11
00
00
10
10
01
00
01
00
00
10
10
10
10
00
01
11
01
11
01
10
00
00
00
00
10
11
00
10
10
01
10
01
11
11
00
10
01
00
10
10
10
01
00
11
10
00
01
01
10
00
00
10
10
00
00
10
00
10
00
00
10
00
01
10
10
11
00
01
10
00
01
11
01
10
10
00
00
11
01
00
10
01
00
10
00
00
00
10
10
00
10
00
10
00
01
11
00
10
01
10
10
10
10
01
01
10
10
11
11
10
01
00
01
11
10
10
10
10
01
11
11
00
10
00
10
10
00
10
10
01
10
01
10
01
10
10
01
00
01
11
11
00
00
10
01
11
11
10
00
10
11
00
01
10
10
00
11
00
00
10
10
11
01
11
11
10
01
10
00
00
10
10
10
11
00
10
00
00
00
00
00
11
00
00
01
01
00
10
10
00
10
10
10
01
11
11
01
00
00
00
10
11
11
10
00
00
11
00
11
00
10
10
11
10
00
11
10
10
01
10
11
01
00
10
01
10
01
01
10
01
00
10
01
10
10
00
11
11
10
00
10
01
00
00
10
10
00
01
00
10
11
10
00
10
01
00
00
01
11
10
11
00
11
11
00
01
10
00
00
10
00
10
11
10
10
01
01
10
11
11
01
10
10
00
10
10
01
10
00
10
00
10
10
00
00
01
10
11
01
00
01
00
10
00
00
10
11
11
00
10
00
10
11
00
11
11
01
00
01
00
10
00
00
11
01
11
11
10
10
01
01
10
00
01
10
11
10
10
00
10
10
01
00
10
00
00
10
01
01
11
10
01
11
10
11
10
10
01
10
10
00
10
00
00
10
11
01
00
10
00
00
10
01
00
11
00
11
10
01
00
01
11
11
11
00
00
11
01
00
10
11
00
01
10
00
10
01
11
10
00
00
00
00
11
10
00
11
10
10
00
10
10
10
11
01
11
10
11
10
00
11
10
10
00
00
10
11
00
00
00
01
10
10
10
00
11
10
10
10
11
01
00
00
10
01
01
00
10
11
11
00
01
11
00
10
11
11
10
11
01
00
11
11
01
00
00
11
10
01
00
00
10
10
10
11
10
00
00
10
11
11
11
10
01
10
10
11
00
00
11
11
00
00
10
10
00
10
10
00
10
10
10
11
00
00
11
10
10
10
10
00
00
10
10
10
01
11
00
01
00
00
10
10
10
00
11
10
01
00
00
10
01
00
00
00
10
00
10
00
00
01
10
10
11
10
01
01
10
10
10
00
10
10
00
00
00
10
01
10
00
00
11
01
01
01
01
00
11
00
00
10
10
10
01
10
10
00
00
00
10
01
10
11
00
11
00
10
10
00
00
10
10
01
10
10
00
00
10
00
10
10
10
10
00
00
11
01
11
11
10
10
01
01
10
00
00
10
00
01
10
10
10
00
01
10
01
10
01
01
00
01
00
00
10
10
10
00
01
10
10
00
10
00
00
01
01
11
11
11
00
10
11
00
10
10
01
10
01
01
10
10
00
11
10
11
10
00
01
10
10
00
10
10
01
10
01
00
10
10
00
00
00
00
10
10
11
00
01
00
11
00
10
10
00
11
10
00
01
10
11
10
00
10
11
01
00
01
00
00
10
00
11
00
10
10
00
10
11
10
11
00
00
01
00
10
10
10
00
00
00
11
00
10
01
00
01
00
11
00
11
01
00
01
10
10
00
10
10
10
00
00
11
00
01
00
10
00
11
01
01
00
11
00
00
10
01
11
10
00
00
10
00
10
10
01
00
01
01
10
10
00
10
00
01
11
11
11
00
11
00
00
00
11
10
00
01
01
00
10
10
10
01
11
11
00
01
00
00
10
10
00
00
00
10
10
01
10
11
11
00
10
10
01
01
10
00
00
10
00
10
01
10
11
01
10
11
00
11
10
11
01
00
10
10
00
01
10
10
00
10
01
10
10
10
00
00
11
01
01
00
10
00
10
01
10
11
01
01
00
10
01
01
00
00
10
11
01
00
00
00
10
01
10
11
00
01
10
00
10
11
10
00
01
00
11
10
01
00
11
00
01
11
11
01
01
00
10
10
00
00
01
01
10
10
11
10
01
11
00
10
11
01
10
11
10
10
11
00
00
10
01
00
00
10
11
01
00
01
00
10
00
10
10
00
00
11
10
11
10
01
10
11
00
00
10
00
00
10
10
00
10
00
00
11
00
01
00
10
11
00
10
11
11
01
00
00
10
01
00
00
10
11
10
11
10
11
00
01
11
01
01
00
01
10
00
01
10
01
00
00
10
00
10
01
10
11
10
10
10
01
10
01
00
10
00
00
11
00
00
10
10
10
10
00
10
01
01
10
00
10
10
00
00
00
11
11
01
01
00
01
00
00
10
01
01
01
00
10
11
01
11
00
10
01
10
01
00
11
11
01
00
01
10
11
00
00
10
10
10
00
00
10
00
00
11
10
01
00
01
00
00
10
01
00
10
10
00
10
01
00
11
01
01
11
01
10
01
10
00
10
10
00
01
11
10
00
10
10
00
00
01
11
00
10
10
10
01
10
00
00
00
11
11
11
11
10
10
10
11
00
01
10
10
10
00
10
10
10
01
00
00
10
00
00
11
00
01
00
11
00
10
10
00
10
00
10
00
00
10
11
10
10
00
10
10
11
01
11
10
11
00
01
11
10
00
00
10
00
10
10
01
10
10
00
10
10
10
00
10
01
00
11
10
10
10
00
00
00
00
11
00
10
10
11
10
00
01
10
00
10
01
00
01
10
10
11
10
00
01
10
11
00
01
01
00
11
11
01
00
10
10
10
11
00
01
10
00
01
11
01
10
10
10
00
00
11
01
00
00
00
10
00
00
10
10
00
10
00
10
11
10
11
00
10
00
01
00
11
10
10
00
00
00
10
01
01
10
00
11
11
11
11
11
11
11
00
01
10
00
00
01
00
11
10
00
01
10
00
01
10
11
00
10
11
11
00
10
10
00
00
00
11
10
10
00
00
00
11
00
00
10
00
10
10
11
00
10
10
00
10
00
10
10
11
00
11
00
00
01
00
10
11
10
10
11
00
00
00
10
00
10
11
01
10
10
11
00
11
10
00
10
11
00
10
11
00
10
11
00
10
11
00
11
01
01
11
10
10
00
00
10
00
00
10
10
11
00
11
10
10
11
11
10
01
11
10
00
10
11
11
00
00
01
10
00
01
11
00
00
10
10
10
01
01
10
10
10
11
10
10
00
11
10
01
11
00
00
10
01
00
00
10
10
10
11
00
01
01
10
11
10
00
00
00
11
01
10
11
01
01
01
11
10
11
11
10
00
10
00
00
00
01
10
00
00
10
01
10
11
10
00
00
11
10
11
01
00
11
11
00
10
10
00
00
10
10
10
00
10
00
01
11
00
01
11
01
11
00
10
10
00
10
10
00
00
11
11
01
00
10
00
00
10
10
00
00
11
11
01
01
11
01
00
10
01
01
11
11
00
00
10
00
10
01
11
10
00
10
10
10
01
01
11
00
00
01
11
11
00
00
10
10
00
00
11
01
10
10
10
10
00
00
00
00
10
10
10
01
00
01
10
11
00
01
10
11
00
10
01
01
11
00
00
11
00
11
10
01
00
11
00
00
10
10
11
00
01
01
00
11
00
10
10
11
00
00
01
10
00
10
00
10
10
01
01
01
00
00
11
10
00
11
10
00
00
00
01
10
10
10
10
11
10
00
11
11
11
00
00
01
00
00
11
00
10
10
01
10
10
00
00
10
11
11
00
10
10
10
00
11
00
10
01
11
10
00
11
10
11
01
01
11
10
10
01
01
01
00
10
10
11
00
01
10
10
10
10
11
00
10
10
01
11
10
10
01
11
00
00
10
10
00
10
00
10
01
10
00
11
01
00
01
10
11
10
00
00
11
10
01
00
10
00
00
00
11
11
01
00
00
10
01
00
11
10
00
10
10
10
00
00
10
10
01
00
10
00
00
10
10
11
11
01
00
11
10
00
10
00
11
10
11
00
10
11
00
10
00
01
10
00
10
10
11
00
00
11
10
00
10
01
00
10
10
10
00
01
11
00
00
11
01
10
10
11
00
00
11
10
01
00
11
00
00
10
10
10
00
10
11
01
10
11
01
00
00
01
10
00
10
11
01
00
00
11
00
00
11
00
01
10
00
10
10
10
00
00
11
10
00
11
00
00
00
10
10
01
01
10
01
00
00
10
10
11
01
00
10
11
00
11
10
00
01
10
10
11
11
01
11
01
10
11
01
00
10
10
01
00
00
10
00
00
01
11
00
11
11
10
11
00
00
10
10
00
11
10
00
00
00
10
10
10
00
00
10
00
00
00
01
00
00
11
11
10
10
10
01
10
10
10
00
00
01
10
10
01
10
00
11
01
01
10
10
10
11
11
01
11
10
00
10
11
00
00
10
10
00
01
10
01
10
10
00
00
10
01
10
11
10
00
10
00
01
11
11
01
11
00
01
10
00
00
11
10
01
00
11
01
00
00
10
01
11
00
00
00
11
11
10
10
01
00
11
10
11
00
00
11
00
10
11
00
11
01
01
10
10
00
10
10
10
10
00
10
10
00
00
11
10
00
00
11
00
01
10
11
00
00
00
01
00
10
10
01
01
00
11
00
00
00
01
10
10
10
11
00
10
00
00
10
00
11
11
00
10
10
00
10
10
10
00
11
01
00
01
10
10
10
11
01
10
01
00
10
01
00
10
00
10
10
01
10
00
00
00
10
11
00
00
01
00
00
10
11
01
00
01
00
00
11
10
00
10
10
00
00
10
10
10
01
00
11
00
01
00
00
00
00
11
10
00
01
00
01
11
11
11
01
11
11
00
01
00
10
11
00
01
10
01
10
11
00
11
01
01
00
00
10
11
11
00
01
10
11
01
00
10
00
11
11
00
00
01
11
10
10
00
10
11
00
01
00
11
10
00
01
11
00
11
10
00
10
00
00
11
10
00
00
00
00
00
10
00
10
10
00
00
11
00
01
10
00
00
01
10
10
11
00
10
11
00
10
00
00
11
10
00
00
10
11
00
10
00
01
11
11
00
00
10
00
00
10
10
00
01
01
10
01
00
10
00
00
01
11
10
01
00
00
10
00
00
00
11
11
00
00
10
01
11
10
10
01
11
01
11
10
01
10
00
11
11
00
00
10
01
00
11
00
10
10
00
00
10
00
00
01
10
01
11
11
10
00
00
11
00
01
10
10
01
11
10
00
01
10
01
00
11
01
11
11
10
01
10
00
01
11
10
00
10
00
10
00
11
11
10
00
10
10
00
00
10
10
01
10
01
10
01
00
11
00
00
00
10
10
00
10
10
00
01
11
11
10
00
10
00
10
10
00
00
00
11
10
00
10
10
10
01
00
00
01
00
00
10
00
10
01
01
01
11
00
00
01
00
00
00
10
10
11
00
00
10
00
10
10
00
01
00
00
10
11
11
01
11
11
10
00
10
10
10
00
01
00
10
10
00
10
00
10
10
10
00
11
10
11
10
00
10
10
11
10
00
00
00
11
00
00
01
00
10
00
01
10
01
00
11
10
11
00
10
00
01
10
01
10
10
00
11
10
01
10
10
00
01
00
01
10
00
10
10
11
00
00
01
00
10
10
10
10
01
01
11
00
01
11
00
10
10
10
00
00
11
01
00
11
11
11
01
10
10
01
00
10
01
11
10
00
10
00
10
00
01
01
00
11
10
00
00
10
00
11
11
10
00
00
10
10
10
10
10
00
01
10
01
00
10
10
01
00
10
10
00
10
10
11
00
10
11
00
00
10
10
00
00
00
10
00
10
11
10
01
11
10
00
10
01
10
00
00
10
00
00
01
10
01
10
00
00
00
10
00
11
11
10
10
01
00
10
10
01
00
11
10
10
00
00
01
00
00
10
11
00
10
00
00
00
10
11
10
01
10
10
00
10
10
01
01
11
00
00
10
00
00
01
10
11
10
10
01
00
00
10
00
00
11
11
00
11
10
10
10
00
11
01
00
10
01
11
11
00
01
01
00
00
10
10
00
11
10
00
01
01
01
10
00
10
01
00
11
00
10
00
10
00
10
01
00
11
00
11
00
00
10
10
00
01
11
00
00
01
00
10
01
00
10
01
11
11
11
01
00
10
00
01
11
11
00
00
10
11
10
01
00
10
10
00
00
01
10
11
00
01
11
00
00
10
01
00
00
00
11
10
10
11
01
11
00
01
00
11
00
11
11
00
01
10
11
01
00
10
11
00
01
11
10
11
10
11
00
01
10
01
11
01
10
11
00
01
00
10
01
00
00
11
11
00
01
10
11
01
10
00
10
00
00
10
00
10
10
01
10
01
00
10
00
01
00
11
10
00
10
11
00
11
11
00
10
01
11
11
00
00
10
11
00
00
10
10
01
11
01
11
00
11
10
11
00
01
10
11
10
01
10
10
10
01
00
10
11
00
00
00
10
11
10
01
01
10
00
01
10
10
10
00
10
00
01
11
00
00
11
10
00
00
00
11
00
10
11
00
00
00
10
00
10
10
00
00
10
00
00
10
10
10
00
00
11
00
11
00
11
11
00
10
10
10
00
10
00
11
11
01
10
01
00
00
01
10
10
01
01
10
10
00
01
10
10
00
00
00
00
10
10
01
11
01
00
00
10
10
10
00
00
10
00
01
10
10
10
10
00
01
10
00
10
00
01
00
00
00
00
10
10
10
00
10
00
00
00
10
11
10
10
10
00
00
10
00
01
11
00
11
10
10
00
11
00
01
11
10
10
11
00
00
10
11
10
10
01
00
10
01
00
10
10
00
01
10
11
01
01
00
00
11
10
11
01
11
11
00
01
00
00
11
10
10
10
01
00
10
10
11
10
00
00
00
00
00
11
11
10
11
00
00
00
11
00
10
11
10
10
10
10
00
11
10
00
01
10
11
00
10
10
00
00
11
00
00
00
00
00
10
10
11
01
10
01
01
10
00
10
10
10
00
00
00
10
00
00
00
00
10
00
00
00
00
10
01
10
01
11
10
11
10
01
00
01
11
00
11
00
01
10
01
10
01
00
10
00
01
11
00
00
10
00
10
11
00
10
10
11
00
11
00
00
10
10
11
10
10
00
01
10
11
11
00
00
10
00
00
10
11
10
11
01
11
00
00
11
01
10
10
00
00
10
11
10
10
00
01
11
10
00
00
10
10
01
10
00
00
00
01
10
01
10
10
00
10
01
00
10
10
01
11
10
11
00
10
00
10
11
10
10
00
10
11
01
00
10
10
10
10
00
00
11
00
00
10
10
01
10
00
00
00
11
11
10
10
00
10
11
00
01
10
10
11
10
10
11
11
01
00
10
10
00
00
00
10
00
00
10
10
11
10
00
01
10
00
10
00
01
10
11
01
00
11
11
10
00
00
00
10
10
00
10
01
00
01
00
11
11
00
11
10
11
00
00
10
10
00
00
00
11
11
11
10
10
00
00
00
00
00
10
00
00
01
10
10
10
10
10
01
10
00
11
01
00
10
00
10
10
00
10
01
10
10
01
01
00
11
10
00
11
11
01
11
00
10
11
00
00
11
00
01
00
11
10
01
01
11
10
00
00
10
11
00
10
00
00
10
00
11
00
01
10
10
10
11
00
10
00
10
00
00
10
10
00
10
00
10
10
00
11
00
10
11
00
10
10
10
00
10
10
00
10
10
11
00
10
01
01
01
00
00
11
10
11
11
10
00
11
00
00
00
10
11
00
00
00
01
11
00
01
10
00
10
10
01
10
10
00
11
01
00
11
11
11
10
10
00
10
11
00
10
11
01
00
10
10
00
00
10
00
00
10
10
00
10
00
01
11
10
10
10
00
11
00
11
10
00
01
10
01
10
10
00
10
00
11
11
00
10
00
00
10
00
11
10
11
10
00
00
01
10
00
01
10
10
11
01
00
10
01
01
00
11
01
00
11
10
10
10
00
01
10
10
00
10
10
00
00
00
00
00
10
11
01
00
11
00
10
10
10
01
00
01
11
10
10
10
00
10
11
01
00
01
10
10
10
10
11
10
11
00
10
10
11
00
01
11
10
10
11
00
00
11
10
00
11
11
10
11
00
11
10
00
01
00
01
10
01
01
10
00
10
00
10
10
10
11
00
10
00
01
01
10
01
00
10
10
10
10
00
01
00
01
10
00
10
00
00
10
01
01
11
00
11
01
10
01
00
10
10
01
01
01
10
10
00
10
10
00
00
10
01
01
10
10
10
01
10
10
10
10
00
11
00
01
10
11
11
01
10
10
10
00
10
00
01
10
00
00
01
10
10
00
00
01
01
01
00
11
11
11
10
00
00
10
10
00
01
11
10
10
00
10
11
10
01
00
10
00
10
01
11
01
10
00
00
00
00
01
01
10
11
00
00
01
01
00
10
10
00
11
01
10
00
10
00
01
00
11
10
11
10
00
10
11
11
10
01
00
10
10
00
00
10
10
01
01
00
11
11
00
10
11
01
10
01
10
00
00
01
11
01
01
11
00
11
00
01
01
10
01
01
10
10
00
00
11
10
01
00
11
10
00
00
10
00
00
10
10
11
01
10
00
01
10
00
11
11
11
10
11
00
01
00
00
10
00
01
10
01
00
10
11
01
11
10
00
01
10
10
00
00
11
10
11
00
01
11
11
00
01
01
01
00
10
11
10
11
01
01
10
11
10
00
01
10
00
00
01
10
00
01
00
00
10
10
11
10
00
00
01
00
11
10
00
10
10
00
10
10
01
00
10
11
00
11
00
10
01
00
10
00
10
10
10
00
10
10
10
01
00
10
00
01
00
11
01
11
01
10
00
00
11
10
00
01
10
00
00
01
10
00
01
10
00
00
10
10
00
00
10
10
10
00
10
01
00
00
10
11
10
10
00
11
10
01
10
00
10
00
10
00
00
10
00
00
00
10
00
11
00
10
10
00
00
00
11
11
10
00
00
01
01
11
11
10
00
10
00
10
10
00
11
10
10
10
00
01
00
01
10
11
01
00
10
10
01
00
11
10
01
01
00
10
10
11
00
00
10
00
10
00
01
10
11
10
10
00
11
11
00
00
10
10
01
00
01
00
00
10
00
01
01
00
10
10
01
01
01
01
10
00
00
00
10
10
00
01
00
10
10
00
00
00
00
00
01
00
10
11
00
01
01
10
00
10
10
10
10
00
10
00
00
00
00
10
01
00
11
10
10
10
10
01
11
00
01
11
10
10
10
01
00
00
00
10
00
00
11
00
10
00
10
10
00
01
00
00
00
00
01
10
00
01
10
11
10
00
00
10
10
01
10
11
00
10
00
10
10
01
10
00
01
11
10
11
11
00
00
00
10
10
00
10
10
01
10
10
01
10
10
11
01
00
10
11
00
00
00
10
10
10
11
01
10
10
00
11
00
01
10
00
00
00
00
11
10
00
00
11
11
10
01
00
00
10
10
00
00
10
11
11
00
10
10
11
00
00
00
01
10
01
10
10
00
11
00
00
10
00
11
01
01
10
00
11
10
10
00
01
10
10
00
00
00
10
10
00
11
10
00
00
10
00
00
11
00
01
10
00
01
10
00
01
10
00
10
11
01
00
01
11
00
01
10
00
00
00
11
11
10
01
10
10
00
11
00
00
11
10
10
01
01
01
01
11
10
00
10
11
00
00
11
11
11
10
10
10
00
11
11
01
01
00
00
01
11
01
10
10
01
01
11
10
00
00
11
11
10
00
11
10
00
00
00
00
11
10
10
00
00
11
00
00
01
11
11
11
01
00
00
11
10
00
00
10
10
10
11
01
10
11
00
01
11
00
00
10
01
01
00
00
10
10
00
10
10
10
01
01
00
10
10
11
01
10
10
10
11
00
10
10
11
11
00
10
11
10
11
10
11
01
01
00
00
11
10
10
00
00
10
10
10
01
00
11
01
10
11
00
10
11
00
10
11
00
00
11
11
10
10
00
00
11
00
00
10
00
10
11
01
00
10
00
00
00
10
10
00
01
11
10
00
10
10
10
00
00
00
00
10
00
10
11
10
01
00
10
00
00
10
10
00
01
00
11
00
00
00
01
10
00
10
10
00
00
10
11
01
10
10
11
01
11
01
11
01
01
10
10
00
01
11
11
10
01
00
00
10
01
10
00
01
00
00
01
11
11
01
10
10
00
10
11
00
10
00
00
00
01
00
10
10
01
00
01
10
01
01
10
10
00
10
10
00
01
00
10
11
00
10
10
10
10
11
00
10
00
01
11
10
10
01
01
00
00
10
00
11
00
00
00
00
10
11
00
10
01
10
00
11
10
10
00
00
00
10
11
01
10
00
01
01
00
10
10
00
00
00
11
11
00
01
00
01
11
00
01
11
00
10
00
01
10
00
00
11
00
01
01
11
00
00
11
10
01
00
10
01
10
10
00
00
10
00
10
10
01
10
01
10
11
00
00
00
10
11
00
11
01
01
01
10
10
00
01
10
00
10
11
00
10
00
10
10
01
01
00
10
10
00
10
01
00
10
10
10
00
00
10
00
00
01
10
00
10
00
00
11
10
01
00
11
10
00
01
10
10
00
00
01
00
10
10
10
01
00
11
01
11
01
00
01
10
11
00
10
10
00
00
00
00
10
00
00
00
10
10
00
11
00
11
00
10
10
00
10
00
00
00
11
10
00
01
11
01
10
10
00
11
10
00
11
10
00
10
00
00
11
11
10
00
10
10
10
00
00
10
10
01
00
00
00
01
00
10
00
10
10
00
01
01
10
00
00
10
10
10
00
00
00
10
01
10
11
01
00
10
10
00
10
10
00
01
00
11
00
10
00
11
10
00
10
10
11
10
01
01
11
01
11
00
01
10
10
10
00
00
11
10
11
00
10
10
10
11
00
01
00
10
10
00
01
10
10
10
10
01
00
00
11
01
00
10
10
11
10
00
10
01
10
11
00
00
10
11
10
11
00
00
11
10
00
00
00
01
11
11
10
11
00
01
11
10
01
10
00
01
10
00
00
00
11
11
00
11
00
00
11
10
01
10
01
10
01
11
11
10
01
10
10
11
00
01
11
01
00
00
00
11
11
00
00
10
01
11
11
10
01
11
10
00
10
10
00
10
11
10
00
01
11
00
00
10
11
11
11
00
10
00
00
00
10
10
01
00
10
00
01
11
00
11
10
00
00
01
00
01
11
10
01
00
11
10
11
01
10
10
00
00
10
10
00
10
00
01
00
01
11
11
11
10
10
00
00
10
10
01
01
11
10
00
00
00
10
11
10
01
11
10
00
10
10
00
01
00
10
10
11
00
01
00
10
01
10
00
01
01
10
01
00
00
11
10
10
00
10
01
10
10
00
10
10
00
11
10
00
10
11
00
11
00
00
11
10
10
00
00
10
10
10
00
00
00
10
10
10
00
10
00
11
11
10
10
11
10
01
00
01
00
00
11
00
10
10
01
00
00
11
00
10
00
00
10
00
10
10
10
00
10
11
00
00
01
00
10
00
10
10
11
01
00
11
10
10
10
10
00
10
00
11
10
11
00
10
00
00
10
10
01
11
10
00
10
00
00
11
00
00
10
01
00
11
01
01
00
10
10
00
10
10
10
01
10
10
00
00
10
00
10
10
10
00
10
10
00
10
10
00
00
10
10
00
00
10
01
11
11
00
10
10
01
00
00
00
10
00
00
10
10
10
10
01
01
10
10
00
00
00
00
10
01
11
11
00
00
11
01
10
11
00
00
00
10
11
00
00
10
00
10
01
01
00
11
01
01
10
00
00
11
00
11
10
00
10
11
10
00
00
10
11
11
11
00
00
01
11
01
11
00
01
10
01
00
10
01
00
10
10
00
00
11
00
10
00
10
01
10
00
00
11
00
00
11
00
00
10
10
00
00
01
11
00
00
10
01
00
00
01
11
01
10
00
10
00
10
00
00
11
01
11
11
10
00
10
00
10
10
01
00
10
10
00
00
00
00
00
00
11
11
01
00
01
11
11
01
01
00
10
10
00
10
00
00
10
00
00
10
10
00
11
00
10
10
01
00
00
11
10
10
10
00
01
01
11
00
00
10
01
00
10
10
00
00
10
10
10
00
10
10
01
00
10
11
10
01
00
10
01
01
10
10
10
10
00
10
00
10
10
01
11
10
00
00
10
11
10
00
00
10
10
01
10
11
00
00
01
10
00
00
01
00
10
00
11
10
11
10
00
00
11
10
00
00
10
11
11
01
00
01
00
10
10
00
00
01
01
00
11
10
00
10
00
01
00
00
11
01
01
11
10
01
00
11
01
00
01
11
00
11
01
00
00
10
10
00
10
10
10
11
00
10
00
10
11
10
10
00
10
11
10
11
01
10
00
01
10
10
00
01
11
00
01
10
10
10
01
10
01
10
10
00
10
01
00
11
01
00
10
11
00
10
01
01
01
10
11
11
00
10
00
11
10
01
00
00
00
00
11
10
00
11
00
10
00
00
11
10
00
01
11
01
11
11
10
00
00
10
10
10
00
00
10
10
00
00
00
11
00
11
00
01
00
10
11
10
00
00
10
01
10
11
11
11
01
11
10
00
00
11
00
11
11
10
10
10
10
01
10
11
10
10
00
10
00
01
00
10
11
10
10
11
10
01
00
01
10
11
10
00
00
10
10
01
00
10
01
01
00
10
10
00
00
11
11
00
00
10
01
10
00
01
10
11
00
11
11
01
00
00
01
10
10
11
10
00
01
11
10
10
10
01
00
10
10
10
10
01
01
10
01
11
10
00
00
00
10
11
11
01
01
00
00
11
10
00
01
00
10
11
10
01
01
10
10
00
00
10
11
10
00
10
10
10
11
11
01
00
11
10
11
10
00
01
00
00
10
10
00
10
00
00
10
10
00
10
10
01
00
10
10
11
00
00
00
00
10
01
10
10
00
00
00
11
01
10
10
10
10
10
10
01
10
10
01
01
10
01
00
10
00
00
00
01
11
11
00
01
00
11
10
11
10
00
00
10
00
00
10
01
10
10
00
10
00
00
01
11
00
10
10
10
00
10
00
11
11
00
11
00
11
00
10
10
00
11
01
10
10
10
00
10
11
01
00
01
10
00
00
00
00
11
00
00
01
00
00
00
10
00
10
11
10
10
10
10
11
00
11
10
10
00
01
01
11
11
00
10
00
00
10
11
00
01
10
00
01
11
10
01
10
10
01
11
10
10
00
00
10
11
10
01
10
10
00
00
10
10
10
10
10
10
01
11
10
11
01
10
00
10
11
10
10
11
01
10
01
11
11
01
11
01
00
01
10
11
01
00
01
10
11
01
10
11
10
00
00
01
00
10
00
00
00
10
10
10
01
00
10
10
01
00
11
01
00
10
10
01
11
00
01
10
00
00
10
01
00
11
10
00
00
10
10
01
10
10
00
00
10
00
00
10
00
10
01
00
01
10
01
00
10
01
10
10
00
00
01
00
00
10
10
10
10
01
00
00
10
01
10
00
10
01
01
01
00
00
10
10
11
00
10
10
10
00
00
10
01
10
11
00
10
00
11
11
10
11
01
10
10
10
10
00
01
10
11
00
01
00
00
00
11
11
00
10
10
10
00
00
11
10
00
10
00
00
10
00
11
00
00
01
00
11
10
01
00
10
11
10
00
00
10
10
10
00
01
00
11
01
00
10
00
10
11
10
00
11
10
10
01
10
10
01
11
11
00
01
11
11
00
01
01
10
11
00
10
11
10
10
00
00
00
00
11
10
00
10
01
00
10
00
11
01
00
10
10
11
01
01
00
00
11
00
10
11
01
01
10
11
00
11
10
01
10
10
11
10
01
00
00
01
00
11
10
10
10
10
00
00
00
11
01
11
11
11
00
01
11
10
00
01
10
01
01
10
11
01
01
10
11
00
01
11
10
01
10
00
00
00
10
11
01
00
01
10
01
10
01
00
11
10
01
10
11
00
00
00
11
10
00
00
10
10
10
00
01
01
00
11
10
10
00
10
10
10
10
00
10
10
10
10
00
10
10
10
00
11
00
11
10
00
11
01
11
00
00
00
10
10
00
10
10
10
01
10
10
00
00
10
11
00
01
01
10
00
10
00
00
00
10
10
00
01
01
00
01
11
10
01
00
00
10
11
01
00
00
00
00
10
10
10
10
01
01
10
11
00
00
01
00
11
00
01
10
10
00
11
00
00
11
10
00
00
00
10
00
00
10
11
10
11
11
00
01
00
11
10
10
10
00
10
01
01
10
01
00
11
01
01
11
10
10
10
00
00
11
10
00
00
10
10
00
11
01
00
11
00
00
00
11
11
00
10
10
00
01
00
11
11
10
00
11
10
01
01
10
11
10
00
00
01
10
11
10
00
01
01
00
00
00
10
00
00
10
10
10
11
10
11
00
11
10
00
00
10
00
01
00
11
10
11
01
11
10
01
11
10
10
11
11
01
00
00
10
10
00
11
10
01
00
11
01
00
11
11
11
00
10
10
00
01
00
00
00
10
11
11
00
00
10
10
10
00
00
01
11
10
00
01
11
10
00
01
00
11
00
00
11
10
00
10
11
00
00
10
10
00
11
11
01
11
01
10
11
01
11
11
00
10
10
00
00
11
10
01
00
10
01
10
00
00
00
10
01
00
10
11
11
11
10
11
01
11
10
10
00
00
00
01
00
10
11
00
10
11
10
10
10
00
00
00
10
10
00
10
00
10
10
00
01
00
10
10
10
00
10
00
00
11
10
11
10
10
01
10
01
10
11
11
10
01
00
10
11
00
10
11
10
00
00
00
00
11
10
10
11
00
10
11
00
10
10
01
00
11
00
01
10
10
11
10
00
01
00
11
00
10
10
01
00
00
10
10
11
00
11
10
01
00
10
00
01
10
10
11
00
10
10
00
01
11
00
11
10
01
00
11
10
01
00
00
10
11
10
01
00
11
10
00
10
00
10
00
01
10
10
10
00
00
10
00
10
10
00
10
11
10
10
10
00
10
00
00
10
10
01
00
10
10
00
00
10
01
10
00
00
10
10
10
01
11
10
00
00
00
01
00
11
11
11
00
00
00
00
10
01
10
10
00
00
01
10
11
01
10
10
01
10
00
00
11
10
00
10
01
00
00
00
11
01
10
11
10
00
00
10
11
00
01
10
11
00
10
00
00
11
01
11
10
01
01
00
10
00
01
11
11
10
00
11
10
10
00
00
10
00
00
00
01
00
00
11
11
10
11
00
00
10
00
10
01
00
10
11
11
01
00
11
10
00
00
11
00
00
00
10
10
10
10
10
01
10
00
10
01
01
00
00
01
01
10
01
00
10
11
00
11
00
00
10
01
00
10
11
10
11
10
01
10
00
00
10
10
00
00
00
00
00
10
01
00
10
10
10
10
10
00
00
10
00
00
10
11
10
10
10
00
00
11
10
00
00
00
00
00
00
00
11
11
01
10
00
00
11
10
11
01
00
00
11
10
10
10
01
00
00
00
10
11
00
00
10
01
10
00
10
10
11
11
01
10
11
00
10
01
00
00
10
00
00
00
10
01
11
11
11
10
00
00
11
01
11
11
00
10
10
11
00
01
11
10
11
10
11
10
11
01
11
11
01
10
00
01
11
11
11
00
01
10
01
00
00
10
10
11
11
10
00
10
01
00
00
10
10
10
00
00
00
00
01
01
11
00
00
00
00
10
11
01
01
01
11
01
01
00
01
11
10
01
01
01
11
00
00
10
01
00
10
01
11
11
01
10
01
00
11
10
00
00
00
01
11
11
00
10
10
00
10
10
10
00
10
10
10
10
00
00
11
01
00
10
10
11
01
01
10
10
11
01
10
10
00
00
10
10
01
00
10
00
10
10
10
01
00
01
11
00
01
10
10
11
00
00
00
00
10
10
10
11
10
00
00
00
10
00
10
01
11
01
10
00
10
00
10
10
00
01
01
10
11
11
00
10
00
00
10
10
01
00
10
10
01
10
10
11
00
00
10
10
00
10
11
01
11
10
10
01
01
11
10
00
00
11
10
10
10
00
00
00
11
10
11
00
00
00
10
11
00
00
10
00
11
01
00
01
10
11
10
10
00
00
10
01
10
11
10
11
00
00
01
00
10
10
11
01
10
11
10
10
01
10
01
01
00
01
01
00
01
00
10
11
10
00
11
11
00
00
10
00
10
11
00
00
10
10
11
00
10
10
00
11
00
01
10
11
00
10
10
11
00
01
01
11
11
00
10
00
01
10
10
00
00
00
11
01
11
10
10
10
10
10
00
00
10
11
11
00
00
01
11
01
00
10
01
00
10
01
00
11
10
10
11
10
10
00
10
10
10
01
10
01
10
00
10
10
10
11
01
00
00
00
00
10
10
00
01
11
00
11
00
01
10
11
10
00
00
10
01
01
01
00
01
10
10
11
11
00
00
10
10
01
11
10
00
11
01
00
10
00
00
11
00
00
11
00
11
00
00
10
10
10
10
11
00
10
00
00
11
10
11
01
11
10
10
11
01
10
10
10
01
10
10
11
00
00
11
10
11
11
00
01
11
10
00
10
00
00
00
10
10
00
11
11
01
01
00
01
00
10
00
01
11
10
01
01
10
10
01
10
10
10
01
00
10
00
00
00
01
11
10
10
00
10
10
00
10
10
00
01
11
10
10
00
00
01
00
01
00
11
10
00
11
11
01
01
11
10
01
11
10
01
00
11
11
00
01
11
11
00
00
00
10
00
00
10
10
10
11
10
11
00
10
01
10
10
00
10
10
00
00
10
00
10
00
01
00
01
00
10
00
00
10
11
10
00
00
10
00
10
01
10
00
01
11
01
10
10
00
00
01
00
10
10
10
01
11
10
00
11
10
10
00
11
11
00
00
11
10
11
01
00
11
10
01
10
11
01
01
01
10
10
00
00
10
00
00
01
10
10
00
00
10
10
10
00
11
01
00
00
10
10
00
00
10
10
10
00
00
11
00
01
10
10
00
00
00
10
10
00
00
10
10
00
01
00
00
10
10
11
11
00
00
10
11
01
00
10
01
11
00
00
00
10
00
00
10
00
00
10
00
11
10
11
10
10
00
01
10
01
00
11
00
10
01
00
11
10
11
00
10
10
01
01
10
10
10
00
00
11
10
00
01
00
01
11
10
10
10
01
10
00
00
11
10
10
00
00
10
11
00
00
10
10
00
11
00
00
10
11
00
00
01
00
01
00
01
10
00
00
10
01
00
10
00
10
10
10
11
01
10
01
01
00
10
10
01
00
10
11
00
11
10
10
11
10
00
00
10
11
10
10
01
10
10
01
10
11
10
10
00
00
11
00
00
10
10
11
10
00
01
11
00
01
00
11
11
00
11
00
01
10
01
01
11
11
10
00
00
10
11
11
01
01
01
10
10
00
00
00
10
00
01
10
10
00
11
10
00
11
00
10
10
11
00
11
00
00
11
11
11
01
00
01
01
00
10
10
00
10
01
00
01
00
11
11
10
01
00
10
10
10
00
00
10
00
10
10
01
10
01
11
10
10
10
10
00
10
10
11
10
10
01
11
00
01
00
10
10
10
00
01
00
01
01
10
10
10
10
00
10
10
10
00
11
10
01
00
11
11
00
10
00
00
01
11
01
10
10
00
11
01
10
01
00
11
00
00
01
01
11
00
00
10
00
10
00
11
00
00
00
10
01
00
01
11
10
00
00
00
00
00
10
00
10
10
00
01
10
10
10
00
11
11
10
10
00
11
10
00
00
00
01
10
10
10
11
10
10
00
00
01
10
00
10
10
10
00
00
11
00
00
00
00
11
10
01
00
01
01
00
11
11
00
01
10
10
00
00
10
00
11
10
00
00
01
10
10
00
01
11
01
11
11
10
11
01
10
01
11
10
00
00
00
10
10
00
00
01
10
10
01
00
01
00
00
00
10
00
00
01
11
11
00
00
00
10
01
10
00
00
00
10
00
10
10
10
10
01
00
01
00
00
11
10
01
01
00
10
01
01
00
01
00
10
00
11
11
10
00
00
10
01
00
01
10
01
00
11
00
00
10
11
00
00
11
01
01
00
11
10
00
00
10
01
01
00
00
10
00
00
01
10
10
00
00
11
10
01
00
00
11
00
10
00
00
00
10
00
00
01
10
10
10
00
11
10
01
00
00
00
10
10
10
10
01
00
11
00
00
11
10
01
00
00
10
10
00
00
11
10
10
00
00
10
01
00
11
10
10
10
10
00
01
10
10
00
11
00
11
00
01
00
00
00
10
01
00
00
00
00
00
11
01
01
10
10
00
01
00
00
00
11
00
01
01
00
00
10
01
10
10
10
10
11
11
00
10
01
11
01
10
00
00
00
01
00
01
10
11
01
10
00
00
01
10
01
10
10
00
00
11
00
00
10
10
10
00
00
10
10
00
00
00
00
11
10
01
00
11
01
10
10
01
00
10
11
01
00
00
10
10
00
01
10
10
00
00
11
00
00
10
10
10
00
00
11
00
00
00
00
10
11
00
00
11
01
00
11
00
00
10
11
01
00
00
10
10
10
00
00
01
11
11
11
10
10
10
10
01
00
10
10
00
00
00
00
00
10
00
00
10
10
10
11
10
10
11
10
01
01
01
01
10
10
10
11
10
01
00
11
10
01
10
01
00
10
11
10
00
01
00
11
11
01
10
10
00
01
01
01
11
10
11
10
00
11
10
01
00
00
10
01
11
00
11
11
00
00
00
00
11
11
10
10
11
10
01
00
00
00
10
10
01
10
10
10
00
00
00
01
10
10
00
10
10
01
01
00
11
10
01
11
00
00
00
11
10
00
00
01
00
00
00
11
10
11
00
10
11
10
00
10
00
00
10
00
01
00
00
11
00
01
10
01
00
10
11
10
10
01
10
11
00
00
10
00
10
10
11
10
00
00
01
10
11
01
10
10
00
00
01
01
10
01
11
00
10
10
01
10
10
01
01
00
11
00
00
10
01
11
11
01
11
00
10
01
00
11
10
00
01
00
11
11
00
10
10
00
01
00
10
10
00
11
00
10
00
01
10
01
11
01
00
10
10
10
11
10
10
00
00
10
01
01
00
10
10
11
00
00
11
00
00
11
00
00
01
00
01
11
11
00
00
10
10
01
00
10
10
00
10
11
11
00
00
11
00
10
00
00
10
00
00
00
01
00
10
01
01
01
01
00
11
01
00
01
00
10
10
00
00
11
00
01
00
01
10
10
00
00
11
10
10
01
00
01
00
10
00
00
00
01
00
11
11
00
01
00
10
11
00
00
10
11
01
00
00
10
10
00
00
11
00
01
10
11
11
00
01
00
00
10
00
00
10
00
00
10
10
01
01
10
11
00
01
10
10
10
00
11
10
10
00
10
00
01
01
10
10
00
00
00
11
10
10
00
00
11
10
10
01
01
00
00
10
10
00
00
10
00
10
00
01
01
10
10
00
00
11
11
01
10
00
10
11
00
00
11
10
00
11
10
01
10
11
00
10
00
00
00
00
10
00
10
00
01
10
11
00
01
00
11
10
00
01
10
00
00
10
10
10
01
00
10
00
00
10
01
10
11
00
01
00
00
10
11
01
00
00
10
01
10
10
00
01
00
10
00
10
10
01
01
00
10
10
11
10
01
00
10
00
00
10
11
10
01
00
11
00
11
10
00
00
10
00
00
10
11
10
00
11
01
10
10
11
11
00
11
10
11
01
11
01
01
10
10
01
10
01
00
11
10
10
00
10
10
00
00
00
01
00
01
10
00
11
10
00
00
11
00
10
00
00
10
10
00
00
10
10
01
10
10
10
11
00
11
00
01
01
10
10
11
00
00
01
10
01
10
11
11
00
01
00
00
10
11
00
11
00
00
00
10
11
00
01
10
10
00
11
01
11
10
01
01
10
01
01
00
10
00
01
11
10
00
11
11
10
10
00
10
10
10
01
10
01
00
11
10
00
01
10
10
00
00
11
00
01
10
01
00
01
00
00
11
11
00
00
00
10
01
10
01
00
11
00
11
00
01
01
11
11
00
10
10
10
00
00
00
11
10
00
01
00
10
01
00
11
00
11
11
10
10
00
11
10
01
00
00
10
10
10
01
10
01
00
10
10
00
11
10
11
00
01
01
10
00
01
00
00
11
11
11
10
10
00
00
01
00
10
10
10
01
10
10
11
10
00
00
10
01
00
11
10
10
11
10
00
00
11
10
00
11
10
00
10
00
00
10
00
00
11
10
11
00
10
10
00
00
00
01
11
11
00
00
00
01
00
10
00
00
10
10
10
00
10
00
10
00
10
01
01
00
11
11
00
00
10
00
11
10
11
10
10
00
11
01
01
10
10
10
11
00
10
10
00
10
11
00
11
10
00
00
00
01
01
00
10
10
11
10
10
01
00
00
10
10
00
01
10
10
10
01
00
00
10
10
11
00
00
00
11
10
10
00
10
01
01
11
10
11
10
00
10
00
00
00
00
10
00
01
01
00
00
10
10
01
10
10
10
11
01
01
00
00
01
00
10
01
00
11
10
00
00
10
11
01
00
10
10
01
10
01
00
00
00
00
11
10
11
00
10
11
01
10
00
01
10
11
10
11
00
01
11
01
00
01
11
00
10
10
10
01
00
00
01
10
10
01
11
11
01
00
00
00
10
11
10
01
00
11
11
10
10
00
10
11
01
10
01
00
10
01
10
10
10
00
00
11
10
01
10
11
00
00
11
10
01
11
11
11
11
00
01
10
11
10
00
00
10
00
00
00
11
10
00
01
01
01
00
10
10
10
10
10
00
01
10
10
00
10
11
00
00
11
00
00
10
11
00
00
10
01
10
10
10
00
10
10
01
10
00
00
11
10
01
10
01
11
00
00
00
00
01
00
10
10
10
00
00
01
11
01
11
10
00
11
00
01
10
10
00
00
11
01
01
10
10
10
01
01
10
00
01
10
10
10
10
10
10
10
10
01
00
11
00
01
10
11
11
01
00
10
00
00
10
10
10
01
00
00
11
01
10
10
10
10
00
10
10
00
11
11
01
10
11
10
00
00
10
10
01
10
11
10
10
11
10
00
10
11
01
01
10
01
00
01
10
10
00
00
10
10
00
00
00
10
10
01
00
10
10
01
10
10
00
01
00
01
11
10
01
00
11
10
10
01
10
10
11
10
00
11
10
10
00
01
10
10
00
10
01
00
11
00
10
11
00
00
11
01
00
11
10
10
10
00
01
01
01
11
10
11
10
00
01
01
00
10
11
00
10
11
10
00
10
10
01
11
10
11
10
00
00
10
01
10
00
01
01
00
01
00
01
11
11
11
10
00
00
10
10
10
01
00
10
00
00
00
10
00
10
11
01
00
01
00
11
10
10
10
00
10
10
11
01
01
11
11
10
10
10
10
00
00
10
01
00
00
01
11
11
00
01
10
10
10
00
00
10
10
10
11
00
00
10
11
11
11
00
01
01
00
11
10
11
00
00
10
01
11
10
10
10
10
00
11
11
11
10
00
00
10
00
10
11
01
01
10
11
00
11
10
11
00
10
00
01
10
11
00
00
01
00
11
10
01
11
00
00
01
10
10
01
11
00
01
10
01
11
10
00
10
11
10
10
01
10
00
10
10
11
10
00
00
10
01
10
10
10
00
00
00
00
11
00
01
11
10
11
10
00
00
11
10
00
00
11
10
10
00
00
00
00
00
00
11
10
00
10
10
01
01
00
00
00
01
01
10
10
11
00
11
10
00
10
11
10
00
00
10
00
00
01
10
01
01
00
00
10
10
00
10
10
11
00
01
11
00
10
01
01
11
11
11
10
10
00
11
10
01
10
10
11
10
01
01
10
11
00
01
10
11
01
00
10
10
10
01
01
11
01
00
00
11
10
00
00
00
10
00
00
10
01
11
00
00
00
00
10
00
00
11
00
00
10
00
10
01
00
00
01
10
00
10
00
10
10
00
01
11
00
10
10
10
10
01
00
10
10
01
10
01
01
00
01
00
00
11
10
01
10
11
10
00
01
00
11
10
10
01
10
11
11
11
00
10
10
11
00
00
00
10
10
01
00
10
10
10
01
00
10
01
00
01
10
10
10
00
10
00
01
10
01
10
00
01
01
00
10
11
11
10
01
01
10
00
01
00
00
00
10
00
10
11
00
00
00
11
10
10
10
11
00
01
00
01
11
00
11
01
11
11
10
11
10
11
00
00
11
10
10
00
00
11
10
11
00
01
01
01
10
00
10
10
00
01
00
11
10
00
10
11
01
00
00
11
10
00
10
11
00
01
00
00
10
10
10
10
10
01
00
10
10
11
01
11
01
01
11
00
01
11
11
10
00
00
11
00
00
10
10
10
01
00
00
10
01
10
01
10
10
00
00
01
10
11
00
11
10
00
00
00
11
10
01
10
10
00
10
10
11
01
11
01
01
10
10
01
11
00
00
00
00
11
00
01
00
11
11
11
10
01
01
10
00
00
10
11
10
10
00
10
10
10
10
00
00
11
01
11
00
01
10
00
00
00
10
11
00
10
01
01
10
11
11
10
10
01
10
00
01
01
01
10
10
00
11
00
00
10
11
10
00
11
00
10
00
10
11
10
10
01
10
00
00
10
01
00
11
00
10
00
01
10
00
01
11
11
10
10
10
00
00
11
00
00
00
00
10
10
10
10
01
10
10
01
11
00
10
00
01
10
11
01
10
00
10
00
00
10
11
11
01
00
10
10
01
10
00
00
00
10
00
01
00
11
10
11
11
11
00
00
00
10
00
00
10
00
00
10
00
00
00
11
10
00
11
00
00
00
01
01
10
01
11
10
00
10
10
00
11
11
10
11
00
01
00
00
11
00
00
01
11
10
10
00
11
10
01
00
10
11
11
10
01
10
11
00
00
00
10
10
01
10
10
10
10
00
00
00
01
10
11
00
11
11
10
10
00
01
10
11
01
00
10
11
10
01
10
00
00
01
00
11
10
10
00
10
10
00
11
00
00
10
10
10
11
11
00
00
10
00
10
00
11
00
00
10
11
11
11
10
00
10
00
00
10
01
01
10
11
10
11
10
00
10
10
01
00
01
10
00
11
10
10
00
10
10
00
11
00
11
10
10
10
11
00
01
01
10
00
10
10
01
10
00
10
10
00
11
10
01
00
00
11
10
10
11
11
00
01
10
11
11
00
11
10
10
01
10
10
01
10
10
00
10
11
01
10
11
10
01
00
00
00
00
10
10
10
00
01
00
11
10
10
10
00
01
11
01
00
11
01
00
10
10
00
10
10
00
01
11
10
10
10
00
10
00
00
00
00
11
11
10
00
11
10
11
00
11
11
00
01
10
00
00
10
10
11
01
00
00
00
01
10
00
01
10
11
11
10
00
00
10
10
01
01
10
11
10
10
00
01
00
00
00
10
10
10
10
00
00
10
00
11
10
00
11
00
00
01
00
10
00
01
10
10
00
00
00
00
00
10
00
00
10
10
01
11
00
10
11
10
11
10
01
01
00
10
11
00
11
00
01
01
10
00
00
10
10
10
00
00
11
11
11
10
10
10
00
10
10
10
01
00
01
00
00
01
00
10
10
11
00
11
11
00
10
10
01
00
00
11
01
00
01
00
11
00
00
10
00
00
10
10
00
00
00
10
00
10
10
10
10
10
00
00
10
00
11
00
11
10
00
00
00
10
01
00
10
10
10
00
10
01
01
01
00
11
10
01
11
00
00
11
10
00
01
10
01
10
00
00
01
00
11
11
00
00
10
01
11
11
11
00
00
10
00
10
01
01
10
10
01
00
00
10
01
01
10
10
00
11
10
11
10
01
00
00
10
00
01
10
00
01
10
00
00
01
11
10
00
11
10
11
10
00
01
01
10
01
10
10
10
00
10
01
00
10
11
00
10
00
00
11
00
00
10
10
00
10
10
00
11
11
10
10
01
00
00
11
10
00
00
01
01
10
00
10
10
00
00
11
11
10
10
11
00
11
00
10
10
00
00
11
10
01
11
01
00
10
10
00
00
00
01
10
11
11
00
00
00
11
00
00
11
00
10
00
00
11
00
10
00
00
10
10
01
11
10
01
01
10
11
01
11
00
00
01
01
11
10
11
00
01
00
00
10
10
00
01
11
11
10
11
00
00
00
00
11
11
10
01
00
00
00
01
10
10
10
01
00
11
01
00
10
10
10
01
11
10
00
00
10
00
00
00
10
01
00
10
00
10
10
00
00
11
10
00
10
11
10
01
10
10
00
00
00
10
11
11
00
00
00
00
10
11
00
00
11
00
11
00
00
10
01
00
10
01
10
00
00
10
01
00
11
10
10
11
00
00
11
10
11
11
01
10
00
11
10
01
01
10
11
10
00
10
10
00
10
11
00
01
10
01
11
00
01
11
00
01
00
10
11
11
00
00
01
10
01
00
10
01
00
11
00
10
10
10
10
10
11
00
00
10
01
10
11
01
11
00
10
01
10
01
00
10
10
11
00
00
01
00
00
10
11
01
10
11
01
01
00
10
11
10
00
00
11
10
11
00
00
00
00
00
10
01
00
01
11
11
10
10
10
10
10
01
10
11
10
01
00
00
11
11
00
10
10
01
00
01
00
10
00
10
10
00
10
00
01
10
10
10
11
10
10
11
00
01
10
00
00
10
01
10
00
00
00
00
01
00
10
01
01
00
00
10
00
10
00
10
00
11
10
11
01
01
01
10
11
00
00
10
10
11
00
00
11
00
10
10
01
00
01
10
00
00
10
11
11
00
10
11
00
00
00
00
10
00
00
00
00
00
00
10
00
00
10
10
01
10
10
10
10
10
00
10
10
10
01
11
01
00
00
00
10
10
10
00
00
10
11
01
00
01
10
01
01
00
11
11
10
00
00
10
10
00
01
00
01
01
00
11
00
00
00
10
10
00
00
10
10
10
00
00
10
00
00
10
00
01
10
00
10
10
10
00
01
00
00
11
11
01
00
00
10
00
01
01
11
10
10
11
01
00
01
10
11
00
00
10
10
11
00
10
00
11
00
00
10
10
00
01
00
11
10
10
10
00
00
10
00
00
10
00
10
00
10
00
10
10
00
01
10
11
11
00
11
10
00
10
01
00
01
01
10
10
10
00
10
00
00
10
10
11
10
00
10
11
00
01
00
00
01
01
00
10
10
00
00
00
00
10
11
01
10
10
10
11
11
11
00
10
11
11
00
01
00
10
11
10
00
11
10
00
11
10
01
00
01
10
00
10
10
01
10
10
00
10
00
11
10
01
00
10
11
10
01
00
00
11
10
10
10
10
00
00
11
00
10
01
10
10
01
11
10
10
10
01
01
01
10
10
00
11
10
11
00
00
11
11
01
10
10
00
01
00
00
11
10
00
01
00
10
00
01
11
10
00
01
11
10
00
10
10
00
00
00
11
00
00
00
00
00
10
00
00
11
10
10
10
10
11
00
10
00
00
00
01
00
10
10
00
00
10
11
00
11
01
00
11
10
10
10
00
01
10
10
10
11
00
01
01
11
10
01
11
11
10
11
01
00
10
10
00
00
10
10
00
01
10
01
00
00
00
10
10
10
11
00
00
11
10
11
10
01
00
10
11
10
10
00
00
01
11
10
10
00
10
10
00
11
11
01
11
01
00
01
00
01
10
11
10
00
11
00
11
10
10
00
10
01
00
00
11
00
01
00
00
11
11
10
10
00
10
00
00
00
11
01
11
10
00
11
01
10
00
01
10
00
00
10
01
01
00
11
10
10
00
10
10
00
01
10
11
11
10
10
11
00
11
10
00
01
11
10
11
11
00
11
10
10
01
11
11
00
00
11
11
00
10
10
11
00
10
10
00
00
11
10
10
01
00
10
00
10
11
00
00
10
00
01
01
10
11
00
00
10
01
01
11
10
10
00
01
11
00
01
00
10
10
10
10
11
00
00
10
10
00
00
00
01
10
11
11
10
10
00
00
00
11
10
00
10
10
00
11
10
10
00
01
00
10
00
10
01
10
00
00
10
11
11
11
00
11
10
00
11
10
11
00
01
10
10
00
10
00
00
00
11
10
00
00
00
00
11
10
01
10
11
10
00
00
10
11
01
10
10
00
00
10
10
11
01
10
10
11
10
01
11
11
10
10
00
00
10
10
00
00
00
10
00
10
10
10
10
01
10
00
01
10
10
00
00
11
10
00
00
11
10
10
00
01
10
11
10
00
01
00
11
10
01
00
11
11
00
10
11
11
01
10
10
00
00
01
00
10
10
01
01
01
01
00
01
01
01
11
11
10
00
10
00
00
10
10
11
11
10
11
10
01
10
10
00
01
11
11
00
01
00
00
00
11
10
00
10
10
10
10
11
11
00
01
10
10
10
11
11
00
00
10
00
00
10
00
01
11
11
01
10
10
10
10
10
00
00
00
10
10
01
00
00
11
11
00
01
10
00
00
00
11
01
00
10
00
00
00
01
01
10
10
10
01
00
00
11
10
01
10
00
01
10
11
11
10
10
10
01
00
11
10
00
10
10
01
10
01
00
10
01
10
10
00
11
10
10
00
10
00
00
00
10
01
00
10
00
10
10
00
10
11
11
11
10
11
00
00
10
10
01
00
10
10
00
01
11
10
10
00
00
01
10
11
01
10
10
11
01
00
10
10
10
11
10
10
10
01
11
11
10
11
11
10
10
11
00
10
01
00
01
00
11
11
11
10
00
10
10
00
10
11
01
00
00
10
00
10
10
00
00
10
10
00
00
00
00
00
00
00
11
01
00
10
10
10
01
00
10
00
10
10
00
00
00
00
00
00
00
11
00
11
11
10
10
00
01
00
01
10
01
10
10
00
10
11
01
01
10
10
10
10
01
11
11
00
00
00
00
11
10
00
00
00
10
10
10
10
11
10
01
10
01
11
11
10
00
11
11
01
10
00
00
10
10
01
10
10
11
01
01
01
11
01
10
01
00
10
10
01
00
10
00
10
10
00
01
11
00
10
10
00
00
10
11
00
10
10
01
10
01
00
01
00
01
10
00
00
10
00
10
00
01
00
01
00
11
11
00
10
11
00
00
01
11
10
10
10
10
11
00
00
10
10
10
00
10
11
10
10
00
00
10
00
10
00
00
01
10
11
11
00
00
10
01
00
00
10
10
11
10
00
00
00
00
10
11
00
01
10
10
10
10
00
01
01
10
10
10
01
10
11
10
10
00
00
00
10
00
00
11
10
10
10
01
10
00
00
10
10
01
10
11
00
11
00
10
01
00
10
11
01
00
11
10
00
11
11
00
00
00
10
00
10
11
00
01
01
01
11
00
01
11
11
10
00
10
01
01
11
00
01
01
11
10
01
00
11
00
00
10
11
00
11
10
01
10
10
01
00
10
00
00
10
11
10
10
11
00
00
00
10
00
01
11
01
11
10
01
01
00
00
00
00
10
11
00
10
00
11
00
10
10
01
00
00
01
10
00
10
10
10
00
00
10
01
11
00
10
00
00
10
10
00
01
11
10
11
11
10
00
10
11
11
00
00
00
00
01
00
01
11
01
10
11
10
01
10
10
01
10
00
00
11
10
01
11
11
10
11
00
00
01
10
00
00
11
10
11
00
10
10
11
10
01
10
00
10
11
00
10
00
11
10
00
01
10
10
11
10
10
00
01
01
10
10
00
11
01
10
11
00
00
11
10
10
00
10
11
01
11
11
01
01
00
10
11
00
10
10
00
00
00
01
10
00
11
01
01
00
11
10
01
00
00
00
00
11
10
10
01
01
11
11
10
01
00
00
11
10
11
00
00
11
11
11
00
10
10
00
00
11
00
00
01
00
00
10
11
01
11
00
10
00
01
10
10
11
10
00
01
00
00
11
11
00
10
10
00
11
00
11
00
11
10
10
10
00
00
10
01
00
00
10
11
10
01
11
10
10
00
10
00
10
10
00
10
11
00
00
10
11
00
11
10
00
01
01
10
10
00
00
11
11
10
00
00
11
10
00
10
10
00
10
00
10
00
00
10
00
01
01
01
10
10
00
00
10
10
00
00
00
10
10
10
00
01
10
10
00
11
00
10
10
11
00
01
11
10
01
00
10
11
10
01
11
10
00
01
00
00
00
10
11
11
01
00
01
11
10
10
01
00
11
10
11
01
00
00
00
10
10
10
10
00
11
00
10
00
01
10
00
10
10
10
00
11
00
00
10
01
00
11
01
11
10
00
00
10
10
01
01
10
00
00
01
01
01
00
10
11
00
10
11
01
00
00
10
10
01
10
11
11
00
00
10
10
11
00
00
00
00
10
00
10
01
00
11
10
11
11
11
00
00
01
00
11
11
11
01
00
10
00
01
11
11
01
00
01
11
00
10
10
00
01
00
01
11
00
00
01
10
10
00
10
11
10
00
00
01
10
10
01
00
00
11
10
00
00
11
00
00
00
10
00
00
10
11
01
10
00
10
01
10
01
00
00
10
11
10
01
10
10
00
01
11
11
11
01
10
10
10
10
00
00
11
10
00
10
10
11
10
01
01
10
00
01
10
01
10
10
01
11
10
00
10
00
10
10
00
10
00
10
10
10
10
00
00
00
10
01
10
11
00
01
01
11
11
01
01
11
00
11
00
00
11
01
10
11
00
00
00
00
10
11
00
01
00
10
11
11
00
11
00
00
00
10
10
00
11
10
00
00
00
10
10
10
00
00
00
10
10
00
01
00
10
11
00
00
10
01
01
01
10
11
00
00
11
00
10
10
10
01
01
10
11
00
00
10
00
01
00
00
10
00
10
11
00
00
10
00
11
10
11
11
10
10
10
01
11
00
00
00
10
10
10
00
01
10
10
10
00
10
01
00
01
00
10
10
01
00
11
00
11
10
11
00
01
00
01
10
10
11
00
00
11
01
01
00
00
10
10
01
10
00
00
11
10
01
00
10
11
10
00
01
10
11
00
10
11
00
00
00
01
10
01
00
01
01
00
11
00
00
10
01
00
01
10
10
00
10
00
00
00
00
00
01
00
11
11
10
01
10
10
11
01
00
11
10
00
01
10
11
00
10
10
10
00
00
00
10
10
00
00
10
10
10
01
00
01
10
00
10
00
00
00
00
10
10
00
00
10
10
00
10
01
10
11
00
10
00
00
00
11
10
00
11
10
00
01
10
11
11
10
10
10
10
01
11
10
00
00
01
01
10
10
10
00
01
10
11
00
00
01
10
00
00
01
10
00
00
00
11
10
11
00
01
10
00
10
10
00
00
00
11
11
10
11
10
01
10
11
00
11
10
00
11
00
00
11
00
01
00
11
10
11
00
10
11
00
10
10
00
11
11
01
10
01
01
11
00
01
10
11
10
00
10
11
01
01
00
10
10
10
10
01
01
10
01
00
10
00
10
10
10
00
00
00
01
00
10
01
00
11
10
11
00
00
00
11
10
00
11
11
01
11
11
10
10
00
01
00
00
11
10
11
00
10
10
10
00
00
10
10
01
00
00
10
01
01
10
10
10
10
10
10
11
01
10
11
00
10
00
11
10
10
00
00
10
00
11
00
00
10
00
11
11
11
01
01
00
00
00
10
10
01
00
10
10
00
01
01
10
11
10
11
11
00
11
00
11
00
00
10
00
00
10
10
00
10
00
00
10
01
10
10
00
10
11
00
00
11
00
01
11
00
00
01
10
00
01
11
11
01
10
11
10
01
00
10
00
00
10
11
11
00
01
00
00
10
00
10
10
00
00
00
10
11
11
00
00
01
00
01
00
00
00
11
00
10
00
00
00
00
11
10
10
00
11
00
10
00
00
10
01
10
10
10
10
00
00
10
00
01
11
11
10
10
01
00
11
01
01
11
10
11
10
00
00
10
00
00
00
10
00
01
01
11
10
00
10
00
11
10
11
10
00
10
11
00
11
10
00
00
10
10
00
01
11
00
01
01
00
10
01
10
01
01
11
00
01
10
00
10
10
11
11
01
10
01
01
10
10
10
00
01
10
00
01
01
11
10
10
00
10
10
00
00
10
01
00
10
10
00
00
10
10
10
10
00
00
10
00
10
10
10
10
10
00
00
00
00
11
00
11
01
10
10
00
10
01
00
00
10
00
10
01
10
10
01
10
11
00
00
01
10
10
00
00
10
01
00
11
00
00
10
10
00
10
01
01
00
11
10
00
11
00
00
10
01
00
01
01
00
00
11
00
00
01
10
00
01
00
01
00
10
10
11
00
11
00
00
00
10
11
00
01
11
10
01
11
10
00
01
00
01
10
11
10
01
01
01
10
10
11
01
11
10
00
00
11
10
01
11
10
01
00
00
00
11
10
00
01
10
00
01
10
00
00
10
00
01
01
11
10
11
01
00
00
10
10
00
11
10
00
00
11
10
01
01
10
11
00
11
10
10
01
10
01
01
10
00
01
11
01
00
11
10
00
00
10
00
01
00
10
10
10
01
00
10
01
10
01
11
10
10
11
00
00
00
11
10
01
00
01
00
01
01
10
01
10
00
00
00
10
10
11
01
10
01
11
00
00
10
11
01
00
00
10
11
11
01
00
10
10
10
11
00
00
10
00
11
10
11
01
00
11
10
00
11
10
00
11
10
00
01
00
10
00
10
10
10
01
10
11
10
00
11
01
10
11
11
01
11
01
00
01
11
10
00
00
10
10
00
00
10
01
00
10
11
10
10
10
10
01
00
10
01
10
01
00
10
10
00
01
11
10
00
11
00
00
00
10
11
00
10
00
00
10
01
00
11
10
00
00
11
00
01
10
10
10
10
01
01
11
10
00
10
00
10
01
01
11
10
00
01
11
01
10
11
01
10
11
10
00
01
00
11
11
10
10
10
10
00
10
10
01
11
10
10
00
10
01
10
10
10
10
10
01
00
11
01
11
00
00
11
01
00
10
10
01
10
00
10
10
00
11
00
11
10
01
01
01
10
00
11
10
10
10
10
00
10
11
00
00
10
10
11
10
00
00
11
00
01
10
11
10
10
11
10
00
10
10
00
11
00
10
01
10
10
10
10
00
01
11
00
00
10
10
10
10
00
10
01
00
11
11
11
10
01
00
00
10
11
00
00
01
10
00
10
00
00
11
11
10
00
10
11
00
00
00
11
11
00
10
00
00
10
10
00
10
11
00
01
00
10
11
10
00
01
10
01
01
10
01
00
10
11
01
01
10
10
00
01
10
01
01
10
00
00
10
01
10
11
00
10
11
00
11
01
01
11
10
00
00
00
10
00
10
10
10
01
00
00
10
10
00
01
10
01
00
11
00
01
10
10
01
00
01
10
10
01
10
11
00
00
10
00
00
10
00
01
11
00
00
00
00
11
01
00
10
10
01
00
00
00
11
00
01
10
00
11
10
00
10
10
00
00
10
01
00
00
10
10
10
10
00
00
10
01
10
00
10
11
10
10
10
01
00
11
00
01
00
10
01
10
00
01
10
00
01
10
00
10
00
10
11
10
10
00
00
10
01
10
10
01
00
10
10
01
10
01
00
10
00
10
10
00
10
10
10
11
00
01
00
10
10
01
01
10
10
00
00
00
10
10
10
10
00
10
11
00
00
10
11
10
10
01
00
11
10
11
11
01
11
10
01
00
01
10
00
00
00
11
11
10
00
00
11
01
00
01
10
00
00
11
01
10
01
10
10
10
00
00
10
00
01
01
11
11
10
00
00
10
10
10
00
00
11
11
11
11
00
10
00
10
11
10
10
10
10
11
11
00
00
00
10
01
01
10
10
00
00
10
10
10
00
00
10
01
01
00
10
10
10
00
00
01
11
10
01
00
00
00
11
11
00
11
10
11
10
00
10
01
10
00
11
00
00
00
11
10
01
01
11
00
10
01
11
11
10
10
00
01
10
10
00
00
10
11
01
00
10
10
01
11
01
01
01
00
00
01
10
00
10
00
00
01
00
11
00
00
00
11
10
10
11
00
01
00
10
11
01
00
10
00
00
11
10
10
00
00
10
10
10
00
10
10
10
11
00
10
00
10
00
10
10
10
00
10
00
11
11
11
11
11
00
10
10
10
11
00
10
11
00
00
00
11
00
01
10
10
10
10
00
00
01
01
11
00
00
10
11
01
11
10
00
10
00
11
10
00
00
00
00
10
00
11
01
00
10
11
10
10
00
01
11
10
10
11
00
01
10
10
01
11
10
10
00
00
10
10
01
00
01
00
11
10
11
00
00
01
11
10
00
00
11
11
10
10
11
01
00
00
01
00
01
10
00
11
00
00
10
10
01
00
10
11
00
01
11
11
10
10
00
01
10
10
00
00
00
10
00
10
10
00
01
01
00
10
00
11
11
00
11
10
00
01
00
10
01
10
10
10
00
01
10
10
10
00
01
01
00
10
11
01
10
10
11
11
00
01
00
10
10
00
10
10
10
01
10
11
00
00
00
10
00
00
01
10
11
10
11
11
11
00
11
10
01
11
11
10
00
00
00
10
11
01
01
10
00
00
10
00
10
10
01
00
10
00
00
00
10
11
00
10
10
10
01
00
00
00
10
10
10
11
01
10
10
01
10
11
00
01
10
00
01
00
00
10
10
00
10
11
01
10
11
10
00
00
11
10
10
01
10
01
00
10
00
00
10
00
01
10
00
11
00
00
11
11
01
01
00
11
00
00
10
11
01
01
01
11
10
00
01
00
00
10
10
00
00
10
10
00
00
00
11
00
00
11
00
10
01
10
10
00
00
00
00
10
11
11
01
10
10
10
00
10
00
00
10
10
00
00
10
10
10
01
10
10
00
00
10
10
10
10
10
00
01
01
00
00
00
10
00
00
10
11
10
10
01
10
10
01
10
10
00
01
00
11
10
10
10
10
01
10
00
00
01
00
10
11
10
10
00
10
10
01
01
01
01
01
00
10
10
01
11
10
00
10
10
00
00
10
00
00
01
10
10
11
11
00
10
01
10
11
00
10
01
00
00
00
10
10
11
10
00
00
00
11
10
10
00
00
10
10
00
10
10
10
10
00
00
10
00
11
00
10
11
10
01
10
00
10
11
00
11
11
00
01
10
10
00
01
11
10
00
11
01
01
00
11
10
00
01
11
00
00
00
00
00
01
10
00
01
10
10
00
00
00
10
00
00
11
11
00
00
10
00
01
10
01
10
10
00
00
11
10
10
00
00
00
10
01
00
00
00
01
10
10
10
11
10
01
11
00
01
00
10
11
10
00
10
10
01
10
11
00
10
10
10
10
10
01
00
10
10
11
00
00
10
01
10
01
11
11
01
10
10
00
00
10
10
01
00
10
10
11
10
01
01
10
11
00
11
00
00
11
11
10
00
11
10
00
00
10
00
00
00
10
00
00
11
11
01
01
10
10
01
10
10
01
00
10
01
00
01
10
11
10
00
00
11
10
10
10
00
00
01
00
10
00
11
00
10
10
01
11
11
10
01
11
00
11
00
01
11
10
00
11
00
00
10
10
10
10
00
01
00
11
00
00
10
01
00
10
00
00
10
10
10
00
10
00
11
01
00
00
00
10
11
10
00
10
00
00
10
01
00
01
00
10
00
00
11
11
00
01
11
10
10
11
01
00
00
10
00
10
00
00
00
01
10
11
10
00
00
00
00
11
00
10
10
11
00
10
01
00
10
11
10
00
10
10
10
01
00
10
10
01
00
01
10
00
00
10
00
00
00
10
10
00
10
10
00
10
00
01
11
10
01
00
10
01
00
10
10
10
11
11
00
00
00
10
00
01
10
00
00
00
00
10
11
10
01
10
10
10
00
01
11
00
01
10
00
10
10
00
01
10
11
10
00
10
00
01
11
11
10
10
00
11
00
11
00
00
10
10
10
01
10
10
00
00
10
00
10
10
10
00
00
11
00
01
00
10
10
11
00
01
00
01
11
10
10
00
00
10
11
01
01
10
11
01
10
10
10
00
00
10
10
10
00
11
11
00
00
11
10
10
10
11
01
10
10
00
00
11
00
00
10
10
00
00
10
10
10
00
10
11
01
10
01
11
10
10
01
00
11
11
10
00
00
10
00
10
10
01
11
10
10
10
10
00
10
00
00
11
10
01
10
11
01
10
10
00
00
10
10
00
10
00
11
00
00
00
11
00
11
10
01
10
10
00
00
01
10
11
00
10
10
11
00
10
10
00
11
10
00
01
01
10
10
00
10
00
10
00
01
11
01
01
10
00
10
10
00
11
10
00
00
10
10
10
00
11
00
01
00
10
11
10
10
01
00
11
01
01
01
00
11
10
10
00
01
10
10
11
00
10
11
10
11
01
00
00
00
00
00
11
10
11
00
00
00
00
11
00
10
11
01
00
10
11
11
10
10
01
01
10
10
10
10
00
00
10
10
01
10
10
00
10
00
10
10
01
01
00
01
11
10
01
00
10
10
10
00
01
10
01
00
00
11
00
11
11
10
00
11
10
10
00
00
10
00
00
00
11
10
10
10
00
01
00
11
10
00
10
01
00
00
00
11
11
11
00
00
10
00
01
11
11
01
00
10
10
10
01
00
10
11
01
01
00
11
10
11
00
00
10
00
00
11
01
10
01
11
10
11
00
00
10
00
10
11
00
00
11
11
10
11
10
10
10
00
01
10
10
00
00
10
11
10
11
10
01
00
00
01
00
01
00
10
10
00
11
01
10
10
11
01
11
11
00
00
10
10
10
10
00
00
10
01
10
00
10
00
00
11
10
00
01
10
11
00
00
11
00
00
10
01
00
10
11
00
00
11
00
00
10
10
00
01
01
11
01
01
01
10
11
00
11
10
00
00
10
00
00
10
00
01
10
00
10
11
00
01
11
01
01
10
11
10
10
00
10
11
10
10
00
10
00
10
10
01
01
10
10
10
10
11
01
11
10
00
10
00
10
00
00
10
01
00
10
00
01
01
00
00
00
10
10
01
10
10
00
10
11
00
10
00
11
11
11
11
10
01
00
10
01
00
10
11
00
00
10
00
00
00
11
11
10
11
10
00
11
10
00
01
10
10
10
10
01
00
11
10
10
10
00
00
10
11
00
00
10
10
10
11
10
01
00
10
00
00
11
10
01
01
01
11
01
11
10
01
00
00
10
10
10
01
00
10
00
01
00
00
11
10
01
00
11
00
00
10
10
00
10
11
00
00
10
01
01
10
10
01
10
10
11
10
01
00
11
00
10
10
00
00
00
10
10
00
01
01
11
01
10
10
00
00
00
00
10
00
00
01
01
00
00
01
10
11
00
10
10
10
11
10
10
00
11
00
01
10
00
10
00
01
01
00
00
10
11
11
01
10
01
00
01
01
10
10
00
00
10
01
01
10
10
10
01
00
10
00
10
10
10
00
01
10
01
10
00
10
10
10
10
10
01
00
10
00
01
01
01
11
11
11
01
10
01
10
11
01
01
10
10
01
01
10
11
00
00
00
10
10
01
00
10
11
00
10
00
11
10
00
00
10
11
00
10
00
11
10
01
01
00
10
00
00
10
10
00
10
01
00
10
00
00
10
11
10
11
00
10
00
11
01
00
00
10
01
10
01
11
00
10
11
10
00
11
10
00
00
11
11
11
00
00
11
00
10
01
10
11
00
10
00
01
00
10
01
01
01
00
10
00
11
11
00
10
10
10
01
10
01
01
11
10
10
10
01
00
10
10
10
11
01
00
00
00
10
11
01
00
10
00
10
10
10
01
01
11
10
01
01
11
00
01
10
10
00
01
10
10
10
00
11
00
00
10
00
10
01
10
10
01
00
10
11
00
00
10
10
00
10
11
01
00
10
10
00
11
11
11
00
00
10
01
00
10
10
00
00
10
11
11
11
10
00
11
00
00
11
10
11
10
00
00
00
10
10
01
00
10
00
11
10
11
00
01
00
11
00
11
10
01
10
01
01
01
10
01
11
11
00
10
01
00
10
11
01
10
00
10
00
01
10
11
00
10
10
11
10
00
10
10
10
00
01
00
10
10
10
10
11
10
00
00
10
01
11
01
00
10
00
01
10
00
10
01
10
11
00
11
01
00
00
00
11
10
01
00
10
10
00
11
00
01
11
11
00
10
01
00
00
10
00
00
10
10
10
00
10
01
10
00
01
10
01
00
00
11
01
11
10
11
10
01
00
00
01
00
10
10
00
00
00
00
10
00
10
10
11
10
01
10
00
10
11
00
00
01
11
11
11
00
01
11
10
11
01
11
01
10
10
01
00
10
00
01
10
01
01
10
11
00
10
01
10
10
00
11
10
00
01
00
00
10
00
00
10
10
00
01
11
11
00
00
00
10
00
00
01
01
00
10
10
00
01
10
11
11
11
00
10
10
11
10
00
11
11
00
01
11
10
00
10
10
00
00
10
10
00
10
00
00
01
11
01
11
11
00
00
10
11
00
00
01
10
10
00
10
00
00
00
00
10
11
01
01
00
00
00
00
01
00
10
11
11
00
00
00
10
10
00
10
00
11
01
00
11
10
10
10
01
11
00
10
00
10
10
00
10
01
00
11
00
10
10
10
01
01
01
10
01
01
10
00
11
00
01
10
10
00
01
10
10
00
00
11
10
00
11
00
00
00
10
10
10
10
01
10
01
00
00
11
10
11
00
01
11
00
11
10
11
10
00
01
11
11
10
10
01
01
10
10
00
01
10
10
10
10
00
01
00
00
10
11
10
01
01
11
10
10
10
00
00
11
00
11
11
00
00
10
00
10
10
01
10
10
00
01
10
11
00
10
00
10
10
00
10
10
01
00
00
00
00
00
10
10
01
01
11
11
00
00
10
01
00
00
11
10
11
10
11
01
10
11
10
10
00
00
11
11
10
00
00
10
00
11
01
00
11
01
01
00
00
10
11
10
01
00
10
11
10
11
01
00
10
10
10
00
11
10
00
10
10
10
00
01
10
10
00
10
10
11
00
01
00
11
00
10
10
10
10
01
00
10
11
00
01
00
10
10
00
10
01
11
01
10
10
00
10
10
11
00
00
00
01
11
10
00
00
00
11
01
10
11
00
00
00
10
11
00
00
01
00
10
00
00
10
01
10
11
10
00
11
10
00
01
10
10
11
10
10
10
10
01
10
10
10
00
01
10
11
10
11
10
10
01
01
10
00
01
10
10
10
00
00
00
10
00
01
10
00
10
00
11
11
00
00
00
10
00
01
10
10
11
00
01
10
10
01
00
11
10
11
00
10
01
11
00
00
10
10
00
00
00
10
10
10
00
01
00
01
01
10
10
11
10
01
01
10
10
11
01
10
00
11
00
11
00
00
10
00
10
00
11
10
01
00
10
11
00
00
10
10
00
10
00
00
01
00
01
01
10
00
00
00
10
01
10
10
00
01
00
10
11
10
00
00
01
11
01
10
01
01
00
10
10
00
10
00
10
00
10
10
00
00
10
01
00
10
10
11
01
11
01
00
10
11
10
11
11
10
01
00
00
00
10
10
01
00
10
00
00
11
10
11
10
10
00
00
00
10
00
01
00
00
10
01
10
11
11
10
01
00
10
10
10
00
10
10
00
00
10
00
00
10
11
10
00
10
10
00
00
10
11
10
00
10
11
11
11
00
11
00
01
01
11
11
00
00
11
11
00
00
10
11
01
11
00
01
11
00
01
10
10
10
11
01
00
10
10
10
00
01
10
01
01
10
00
00
01
11
10
01
10
00
10
00
01
10
10
01
00
10
01
00
00
10
01
00
10
00
11
00
01
10
11
01
11
00
10
10
11
11
01
10
10
10
01
10
11
01
00
10
01
10
10
00
10
00
11
10
00
00
01
11
10
10
00
00
10
00
10
00
00
01
10
11
01
10
01
10
10
10
10
00
10
00
00
10
00
10
10
01
10
00
00
10
01
00
01
10
00
00
10
10
00
11
00
01
00
01
10
10
00
00
00
10
01
10
10
01
00
00
11
00
10
00
10
00
10
11
01
00
10
10
01
11
00
00
10
10
01
01
00
10
10
00
10
11
00
10
00
01
10
00
11
10
01
10
10
00
01
10
00
10
11
00
10
01
10
10
00
00
11
00
01
11
10
00
01
00
11
00
01
01
10
10
00
11
11
01
00
00
10
01
00
11
00
10
10
01
01
11
10
00
00
10
00
10
11
00
00
11
10
10
00
10
11
10
01
01
00
10
00
10
01
00
10
10
01
00
00
10
11
11
10
11
01
10
10
10
00
00
01
11
00
01
11
11
10
01
10
10
00
00
00
10
11
00
11
00
10
01
10
10
10
00
00
11
01
10
11
00
10
00
00
00
11
00
00
10
10
00
01
10
11
01
00
00
00
00
11
00
00
00
01
10
10
10
10
00
01
01
00
00
00
10
00
10
10
11
00
00
11
11
01
01
00
10
00
10
10
01
00
11
10
01
00
11
10
11
10
10
01
00
11
00
10
10
00
10
11
00
01
10
01
10
01
10
11
01
00
10
00
01
10
10
10
10
00
00
00
10
11
10
10
10
00
00
11
00
00
10
00
10
10
00
00
10
01
00
00
10
01
10
00
10
00
10
00
01
11
00
01
01
10
10
10
01
01
10
10
11
10
00
00
11
00
10
10
01
10
11
11
11
00
10
00
01
00
10
01
10
01
11
10
11
10
01
10
11
00
00
10
10
00
10
10
01
01
10
11
00
11
01
01
10
11
00
01
01
10
10
00
01
10
10
01
00
10
10
11
00
10
00
01
10
11
11
11
11
01
10
00
10
00
00
10
11
00
00
10
01
10
10
00
00
10
11
11
10
11
10
11
00
00
01
10
11
00
00
11
10
01
01
01
10
11
00
10
01
00
10
10
10
00
10
10
00
11
00
11
00
00
00
00
11
01
01
10
10
10
00
00
01
11
11
10
10
00
01
10
10
00
10
11
00
01
10
01
01
10
00
00
10
00
00
10
10
00
10
10
11
00
01
00
01
11
10
10
00
01
10
01
01
00
00
00
01
11
10
00
00
10
10
10
00
11
10
01
11
10
01
11
11
01
10
10
00
01
11
00
01
11
10
00
00
00
11
10
01
11
10
00
10
11
00
11
11
00
11
11
11
11
00
01
10
11
01
00
10
10
10
00
00
01
10
10
10
10
10
00
00
11
01
10
00
11
00
00
01
10
00
00
10
10
11
00
10
10
00
10
10
00
10
11
01
11
01
01
10
10
00
10
10
00
00
10
10
10
10
00
00
00
11
10
00
01
00
00
00
00
10
10
00
10
10
01
10
00
11
10
00
00
10
10
00
10
10
00
00
10
11
01
11
10
01
00
10
10
11
01
01
01
10
10
10
01
01
10
10
01
10
00
00
11
00
10
10
11
00
01
01
00
10
10
00
10
11
00
00
10
11
10
01
00
00
10
01
10
10
10
00
01
00
11
10
00
10
10
01
00
01
10
00
00
01
00
10
11
10
01
00
10
00
10
10
00
00
11
00
00
11
10
01
00
00
11
00
11
00
01
10
10
00
00
00
11
10
01
10
10
10
00
01
11
01
01
00
01
00
00
01
10
10
10
00
00
10
10
00
00
10
10
00
10
10
00
01
11
11
10
11
10
11
01
00
10
11
11
00
00
10
10
01
00
01
10
10
01
10
00
00
10
10
10
00
00
10
10
10
11
00
10
01
11
10
00
10
01
10
01
00
00
11
11
00
10
01
01
10
11
00
11
01
01
00
10
00
00
10
11
10
00
00
11
11
00
11
00
11
10
11
10
01
10
11
00
00
00
10
10
00
00
01
00
10
01
10
01
00
10
00
00
11
00
11
10
00
10
11
11
01
01
10
11
10
00
01
11
11
00
11
11
11
01
10
01
01
10
10
10
00
00
10
10
00
01
10
10
00
10
00
00
01
01
01
10
10
01
00
11
10
01
11
00
00
11
10
00
01
10
11
00
00
00
10
00
10
00
00
11
00
11
00
10
11
10
01
11
00
00
10
01
00
01
11
00
01
11
00
10
11
11
01
11
10
01
11
00
11
00
01
10
00
10
11
10
00
10
10
01
00
00
10
00
11
00
11
11
00
10
00
10
00
10
11
00
01
00
10
10
10
00
00
00
10
10
01
10
00
00
00
10
11
10
01
11
10
10
00
00
00
00
10
10
00
10
10
00
00
10
00
10
01
10
11
00
01
00
11
00
10
00
01
10
11
00
00
10
00
01
01
11
00
00
01
10
11
11
11
00
00
01
11
10
00
00
10
00
00
11
00
01
00
10
01
01
10
00
01
10
00
01
10
11
11
11
00
00
00
11
00
00
10
10
11
00
01
01
10
00
00
11
10
00
00
00
10
10
10
00
11
00
10
11
01
00
00
00
00
01
00
11
11
10
10
11
00
00
01
10
00
00
10
10
01
01
10
10
11
00
11
11
10
11
00
00
10
10
01
01
10
11
00
00
10
00
01
01
00
10
10
01
00
00
10
10
10
01
01
10
10
00
10
00
00
10
01
11
01
10
01
00
10
10
10
10
10
01
00
11
10
00
10
00
00
10
00
00
00
11
10
10
00
11
01
10
11
00
11
00
01
10
11
10
00
00
10
11
01
00
10
00
01
10
01
10
11
00
01
00
00
11
10
11
00
11
00
11
10
00
11
01
10
00
00
11
00
10
00
00
10
11
00
10
10
00
00
11
10
01
10
01
11
01
01
10
00
10
00
01
10
10
00
00
00
00
11
10
00
10
10
10
00
10
10
01
01
10
10
11
11
00
01
00
10
11
01
00
10
00
10
11
11
10
01
00
10
11
00
10
10
11
00
10
11
10
10
10
00
11
01
01
00
00
00
10
00
00
10
10
10
01
10
10
10
11
01
11
00
00
10
00
10
10
00
10
01
01
11
00
10
10
00
10
01
01
10
11
10
10
00
00
10
01
01
01
10
01
01
00
01
10
00
01
00
10
10
00
10
11
10
01
00
10
11
01
00
01
10
10
10
10
10
11
00
00
00
11
11
10
00
01
10
11
00
00
01
10
00
10
11
01
10
10
00
01
10
11
10
00
10
10
01
11
00
01
00
01
00
10
10
11
11
10
10
00
00
01
11
10
00
00
10
00
10
10
00
01
10
01
00
00
00
11
00
00
10
10
10
01
10
11
10
11
00
00
00
11
10
00
10
00
11
11
11
11
00
00
00
10
01
10
00
00
10
00
10
00
00
11
10
00
11
00
11
10
01
01
00
00
00
10
10
00
10
01
00
00
10
01
10
10
00
00
00
00
10
10
01
11
01
01
11
01
11
11
00
00
10
10
01
00
11
10
01
11
11
00
01
01
11
10
01
00
10
11
00
11
11
00
00
10
10
11
10
00
11
10
00
11
00
00
01
00
11
00
10
00
10
00
00
01
10
11
10
00
00
00
00
00
00
10
10
00
10
01
11
00
00
11
11
10
00
10
00
10
11
00
00
10
10
11
00
10
10
00
10
00
00
10
00
10
01
11
00
01
10
00
01
00
11
10
00
00
00
10
11
11
00
10
10
01
00
10
11
00
00
00
10
10
01
01
10
00
00
00
10
01
00
10
00
00
00
10
11
10
01
00
00
00
10
00
11
10
00
11
10
10
01
10
01
00
11
10
11
10
11
10
00
11
00
00
10
01
00
10
11
01
10
10
10
10
11
00
00
00
00
10
00
00
11
00
10
11
00
01
01
01
00
10
10
11
10
00
00
10
11
10
00
10
00
00
01
11
10
00
10
00
10
10
01
10
00
01
10
01
00
10
10
10
00
10
11
01
11
00
10
00
01
00
11
10
00
10
10
10
00
00
10
10
11
01
00
10
10
00
01
10
10
10
11
01
01
00
10
10
00
11
11
01
00
00
01
00
10
01
00
11
11
00
00
10
10
10
01
00
00
10
00
01
01
11
00
11
01
11
11
10
01
01
10
00
11
01
00
10
11
10
01
10
10
11
00
10
00
00
11
10
10
01
01
10
00
10
00
00
00
11
01
11
00
00
00
10
10
10
01
00
01
01
11
11
10
10
11
00
11
10
00
10
01
11
11
01
01
00
11
10
01
01
10
00
10
01
00
00
10
10
11
00
00
00
10
10
00
10
11
11
10
10
11
01
10
11
00
10
00
00
11
11
11
00
10
11
01
11
10
00
00
00
11
10
00
10
10
00
00
11
11
00
01
10
11
00
10
00
10
10
00
00
11
01
00
11
01
01
10
01
00
11
11
00
00
00
10
00
00
11
10
11
01
10
10
10
10
11
00
00
10
00
00
11
00
00
10
00
10
10
01
10
10
10
00
10
00
11
11
10
01
00
01
10
10
00
11
00
00
00
10
10
01
11
00
00
10
01
10
10
11
00
11
00
00
10
11
01
00
10
01
11
11
10
11
01
10
10
10
10
01
01
10
11
11
01
00
10
00
00
00
10
10
00
10
00
10
01
10
10
01
00
01
01
10
00
10
10
11
11
00
01
10
00
11
01
10
11
10
01
10
10
11
00
00
10
10
00
10
10
11
11
11
10
00
10
00
00
10
10
00
10
01
01
00
00
10
00
10
00
00
11
00
10
10
10
00
00
00
10
01
11
01
11
01
10
00
10
11
00
01
10
10
00
00
11
10
10
01
00
11
11
10
01
11
10
00
00
10
11
10
10
01
00
00
10
11
00
10
11
00
00
10
00
01
01
00
00
10
10
01
10
10
11
11
00
10
10
10
11
00
00
10
11
10
00
00
10
00
01
00
00
10
01
10
10
11
10
11
11
00
01
00
00
01
11
10
00
00
11
10
01
00
11
00
00
00
10
00
00
00
10
00
00
01
11
01
00
00
00
10
10
11
10
00
00
11
10
00
10
01
11
01
10
10
10
11
10
00
00
01
10
10
10
10
00
11
00
00
10
10
11
10
10
00
01
10
11
00
01
00
10
11
11
10
10
00
01
10
00
00
11
10
11
11
01
11
11
00
00
11
10
00
01
10
10
10
10
10
11
10
00
00
11
10
11
01
00
11
01
11
10
01
10
00
00
10
10
11
11
00
00
10
00
00
11
11
00
10
01
01
00
01
11
01
10
10
01
10
10
10
00
00
10
00
11
01
00
11
00
11
11
11
10
00
00
11
11
00
00
11
01
10
11
01
11
10
11
00
10
10
00
00
10
11
00
11
00
10
10
00
10
10
10
00
11
10
10
10
00
01
10
01
10
00
00
00
01
11
10
01
01
00
00
01
10
00
00
10
01
00
01
11
01
00
10
00
10
10
10
00
00
00
11
10
00
10
10
10
00
00
11
00
01
10
11
00
11
10
00
00
11
01
10
00
10
10
01
00
01
10
00
00
10
01
00
01
10
10
11
00
00
11
11
00
00
11
00
11
00
01
10
10
10
10
10
00
10
10
01
00
11
00
10
11
01
00
11
10
00
00
11
01
10
10
10
00
00
00
00
10
10
10
01
10
10
00
11
01
00
00
10
10
00
00
11
01
01
10
11
01
10
11
01
00
11
10
00
10
00
00
00
00
10
10
01
00
10
01
00
00
00
11
00
01
00
11
10
11
11
00
01
00
11
10
10
00
00
11
10
10
11
00
00
10
00
11
11
00
10
01
00
00
00
00
00
00
01
00
01
10
11
01
10
10
00
10
10
01
00
00
11
00
11
00
00
00
10
11
00
11
01
11
01
10
11
00
00
10
11
01
01
10
11
11
11
10
10
00
10
00
00
01
11
11
01
10
00
00
10
01
00
11
00
10
10
11
10
01
00
10
01
00
10
00
01
11
00
11
11
10
00
10
00
00
00
11
11
00
00
00
10
10
01
01
00
10
00
01
11
10
10
11
10
11
10
01
10
01
00
01
10
01
10
10
00
01
10
10
11
01
01
10
10
10
11
01
10
00
11
10
00
00
00
01
00
00
10
00
00
11
10
10
11
00
00
00
10
01
00
00
00
10
00
11
10
01
00
00
11
10
01
00
10
00
10
11
00
00
10
11
01
10
10
10
10
00
00
01
00
11
00
00
10
00
00
11
11
01
00
00
00
00
01
11
01
00
10
00
10
10
10
00
00
11
10
00
11
11
01
10
00
01
01
10
11
11
00
10
11
01
10
11
01
00
11
00
01
10
00
00
10
00
00
11
10
00
00
00
01
00
10
00
01
00
11
00
10
00
10
10
01
10
10
10
10
10
11
10
00
10
10
10
10
00
11
10
11
10
00
00
01
11
10
00
00
11
10
00
01
00
10
10
11
00
00
10
10
10
10
11
00
00
00
11
11
01
10
10
01
00
01
10
00
00
00
10
10
10
00
10
10
10
00
11
00
11
00
11
00
00
00
00
11
00
10
10
11
00
10
00
01
00
11
00
01
00
01
10
10
11
10
11
00
01
11
10
11
01
11
10
00
00
10
01
11
10
00
10
00
10
10
00
00
00
01
11
11
00
11
11
00
00
00
10
01
10
10
01
00
10
01
00
10
10
01
10
00
00
00
00
10
10
10
10
01
00
10
00
10
11
10
11
00
00
11
11
00
10
01
00
11
11
00
01
10
00
10
00
00
00
10
11
00
01
00
01
00
10
10
10
00
00
11
10
10
01
11
11
10
00
00
00
01
10
11
10
10
00
10
10
10
10
00
01
00
00
00
00
11
10
00
00
10
01
00
10
11
00
01
10
01
10
10
00
10
11
00
10
11
01
10
10
00
00
00
10
10
00
00
11
10
11
11
10
00
00
10
10
00
10
10
11
00
01
10
01
00
10
10
00
01
10
00
00
00
10
00
10
00
00
10
00
00
10
00
10
01
00
01
11
11
00
10
01
00
00
11
11
01
01
11
10
01
00
10
10
00
00
10
10
00
00
00
00
00
11
11
01
01
01
00
01
11
10
10
01
00
11
11
01
11
00
01
00
00
00
00
11
01
00
10
10
00
11
10
11
00
10
10
00
01
00
10
11
10
00
10
11
00
11
11
01
00
00
10
11
00
00
10
01
00
10
11
11
11
00
10
10
11
10
11
01
00
01
10
00
10
10
00
00
10
10
00
00
00
10
11
11
10
10
11
00
00
00
01
11
10
11
00
10
01
10
10
11
01
01
00
10
01
10
10
00
00
11
11
11
00
00
10
10
01
00
10
10
01
10
10
00
10
11
10
10
11
10
01
11
00
01
00
10
01
10
10
10
10
00
01
10
01
10
10
01
10
10
00
00
00
11
10
10
10
00
00
10
10
00
00
10
10
00
00
10
10
00
00
10
00
00
10
11
01
11
11
01
10
00
10
00
00
00
10
10
00
10
00
00
00
00
11
10
01
10
10
10
11
11
10
00
00
10
00
11
01
01
10
00
11
10
00
00
10
01
11
00
01
11
01
00
00
11
10
01
00
10
11
00
00
01
10
11
11
01
01
00
01
10
00
01
10
11
00
00
00
11
01
00
00
10
11
00
10
11
00
10
11
11
11
00
10
00
10
10
00
10
10
00
01
11
10
00
00
10
00
10
01
10
10
00
11
10
00
00
11
10
11
00
00
00
10
10
00
10
11
10
11
00
11
00
01
11
11
11
00
00
10
11
01
01
10
11
00
10
10
01
00
10
10
00
01
01
10
00
00
10
00
00
00
11
00
10
01
00
00
10
10
01
01
11
11
10
10
10
01
11
10
00
11
11
10
00
01
00
01
10
10
10
00
00
10
11
00
01
01
11
11
10
01
00
00
10
00
00
10
01
00
00
11
10
10
00
00
11
00
01
01
00
00
01
10
11
00
00
01
10
01
00
00
10
00
00
10
10
00
00
11
10
10
10
10
01
00
00
00
00
00
00
10
01
01
11
01
01
11
10
00
00
10
10
10
10
00
01
11
10
00
00
10
11
11
10
01
10
11
10
10
10
10
01
00
00
10
11
00
00
11
11
00
01
00
01
10
11
11
11
01
10
00
00
01
10
10
00
00
10
00
11
10
10
00
11
00
10
00
00
00
10
10
10
10
00
00
10
11
00
00
00
01
10
00
01
10
11
10
10
00
10
00
11
10
01
01
00
11
00
10
11
01
00
10
11
00
11
00
00
10
10
11
00
10
00
00
10
11
00
10
01
11
11
10
00
00
00
00
10
00
11
01
00
10
01
00
11
10
00
10
10
00
00
10
10
01
00
00
00
10
00
11
00
11
10
00
10
10
00
01
00
00
10
01
10
00
00
11
00
10
10
10
10
00
11
10
00
01
00
10
00
11
11
00
00
10
00
00
01
00
11
10
10
01
10
00
00
00
10
10
00
00
00
00
01
01
10
01
00
10
11
00
00
10
10
01
00
00
11
00
01
00
00
10
10
00
11
00
00
00
10
10
01
01
10
10
00
10
10
10
01
00
00
11
11
00
10
11
11
10
00
11
11
00
11
00
01
10
10
01
11
00
01
10
10
00
00
11
11
00
01
01
00
01
10
00
10
01
00
11
10
01
01
11
00
01
10
11
00
00
11
10
00
01
00
10
00
00
10
00
11
00
00
11
10
10
10
11
00
11
01
00
00
10
11
10
10
00
00
00
00
01
10
10
00
11
11
00
00
01
00
00
01
10
10
10
00
00
10
00
01
10
10
00
00
10
10
00
11
10
00
10
10
00
11
10
10
10
00
01
10
01
00
11
00
10
10
11
11
10
10
01
10
00
00
01
00
10
10
00
11
10
00
11
10
11
10
11
10
01
10
00
10
00
11
11
01
00
10
11
10
00
10
10
10
11
00
00
10
10
01
11
01
01
11
00
11
10
00
00
10
10
01
00
00
10
10
10
00
11
10
11
00
10
01
10
11
10
00
01
00
11
11
10
10
10
00
00
00
10
11
01
01
10
00
00
00
10
00
00
10
00
00
01
10
00
11
00
10
00
11
10
11
10
01
10
10
11
00
01
00
00
10
10
10
00
10
11
01
10
10
00
10
10
00
00
00
00
11
10
01
11
00
10
10
00
10
00
00
00
11
10
10
00
10
11
00
01
00
01
01
00
11
00
11
10
00
01
00
00
10
00
00
01
11
10
01
00
01
11
11
10
01
10
01
10
01
01
10
10
10
11
00
00
00
10
11
10
01
00
00
00
01
01
01
11
10
01
01
11
00
11
10
01
01
11
10
00
10
00
00
00
00
10
00
10
10
11
10
10
11
01
10
11
10
00
00
01
01
10
11
00
01
10
10
11
00
00
00
10
11
00
00
10
10
00
00
10
00
11
01
01
01
10
11
01
10
10
00
00
10
11
01
10
11
00
11
00
11
10
01
10
00
10
10
00
00
10
01
10
00
10
10
00
10
10
00
00
01
10
11
00
00
01
00
01
10
11
10
11
10
01
11
10
00
10
00
10
00
00
10
00
00
10
10
00
11
00
00
00
01
00
11
11
01
11
00
10
00
10
10
00
11
10
00
10
11
11
11
11
10
10
01
00
11
01
00
01
10
00
11
00
00
01
10
10
11
10
00
11
00
10
00
00
10
10
10
11
00
10
00
10
10
10
00
01
00
10
01
11
01
11
10
01
00
01
11
10
00
00
01
11
11
00
10
10
10
10
00
10
10
10
10
00
00
10
10
11
10
10
00
00
10
10
00
10
00
01
10
00
01
11
11
00
10
10
00
10
11
10
01
10
10
00
10
11
10
01
10
10
11
10
01
01
00
00
10
01
00
00
00
10
11
10
00
00
10
01
10
10
00
10
01
01
00
10
10
00
01
10
01
10
01
00
11
00
00
10
10
10
00
10
10
10
00
10
01
01
11
10
00
10
10
11
11
00
10
01
00
01
00
10
01
11
01
10
10
01
00
00
10
11
01
00
01
11
00
01
11
11
11
01
01
00
11
11
00
01
11
10
01
11
10
01
00
11
01
00
11
10
11
00
10
11
10
00
00
10
00
11
10
10
10
01
10
11
00
10
00
10
10
01
00
11
10
10
10
00
00
10
00
00
01
00
10
11
10
11
10
01
00
00
10
10
00
00
11
10
10
00
00
11
00
00
10
10
10
10
10
00
10
11
00
01
10
01
11
10
11
00
10
00
11
10
00
11
11
11
01
01
00
00
10
10
10
00
00
10
10
00
10
10
11
00
00
10
10
11
11
00
00
01
01
00
00
10
00
10
10
00
00
00
10
11
10
10
01
10
10
10
10
00
10
01
10
10
10
00
10
10
11
01
10
00
01
10
11
10
00
01
10
10
00
00
01
10
00
11
01
11
10
11
11
00
01
10
00
00
10
10
00
10
10
00
01
00
10
10
01
11
00
01
11
00
00
10
00
11
11
11
00
10
00
11
00
01
10
10
10
00
10
11
00
10
00
00
01
01
10
10
01
10
00
11
01
00
00
11
11
00
10
10
10
10
10
00
00
10
10
11
00
01
10
00
10
00
00
10
01
01
00
11
00
11
01
01
10
10
00
00
11
10
10
10
00
01
00
00
01
10
10
10
01
00
10
01
10
10
10
00
01
10
10
00
10
00
10
10
00
11
10
11
01
10
10
00
01
00
10
10
00
00
01
11
00
01
11
10
00
10
00
00
00
10
10
11
10
10
10
10
10
01
10
11
10
00
11
10
00
10
11
01
00
11
00
11
00
11
10
01
10
01
10
11
10
10
00
00
01
10
01
00
11
00
10
01
10
10
10
11
10
00
11
10
01
11
00
10
00
01
10
11
01
00
00
00
00
00
01
11
11
11
10
11
01
00
10
01
00
10
10
00
10
10
10
01
10
11
00
11
11
01
01
00
10
10
00
01
10
00
01
10
00
00
00
01
01
01
10
01
11
01
01
10
01
01
01
10
10
00
10
10
10
01
01
10
00
01
10
00
00
10
00
11
10
00
10
10
00
10
01
10
10
01
10
10
11
10
00
01
10
01
11
00
01
00
10
10
11
10
10
00
00
10
11
00
01
10
01
00
01
01
10
00
00
00
10
10
00
10
01
10
11
10
01
10
11
11
11
00
01
10
11
01
01
10
10
10
10
00
01
00
10
01
10
00
00
01
10
00
00
10
01
00
10
11
11
01
11
00
10
11
00
00
00
00
10
10
11
00
00
00
01
10
00
00
00
00
11
10
00
01
01
10
10
11
10
11
01
00
10
10
10
00
10
10
00
00
11
10
11
00
00
10
01
01
11
00
01
00
11
10
00
00
00
10
10
00
11
11
00
00
11
11
11
10
00
10
10
01
01
10
10
10
11
00
00
00
00
11
11
10
01
00
10
10
01
00
11
00
01
10
01
10
00
11
10
10
01
10
11
10
00
01
10
10
00
10
10
10
01
01
00
11
00
00
01
00
00
11
10
01
10
01
11
10
01
11
10
11
00
00
01
10
10
11
00
01
01
01
10
10
00
00
11
11
10
10
00
00
10
11
10
11
01
10
00
11
00
00
00
10
11
11
10
01
00
10
11
10
11
00
10
10
00
01
10
11
00
10
11
10
10
01
10
10
10
00
00
00
10
00
00
10
10
00
01
10
11
01
01
10
00
00
10
01
00
10
01
11
10
00
00
10
00
10
11
00
11
10
10
11
10
11
01
00
10
00
10
10
00
00
00
10
10
00
10
11
11
10
00
10
11
10
00
11
00
11
10
00
00
11
10
00
00
10
00
01
00
01
11
00
11
01
10
01
01
10
01
10
10
01
10
00
11
11
00
10
10
10
00
10
10
00
10
10
00
11
01
01
10
11
00
11
10
00
00
11
10
00
10
10
01
11
10
10
00
01
01
10
00
11
10
00
11
00
10
11
01
10
00
10
01
10
11
01
00
10
00
10
10
10
11
10
10
10
01
00
11
00
00
10
00
10
01
00
11
00
01
00
10
11
11
00
01
00
10
01
10
11
00
00
00
00
00
01
00
01
10
10
00
10
00
10
00
00
01
10
10
10
10
00
10
00
10
00
01
10
10
10
10
10
00
00
00
10
10
11
00
10
10
00
01
10
10
01
00
10
00
00
10
00
01
10
11
10
00
10
10
11
10
01
00
10
10
00
00
01
00
10
11
01
10
10
10
00
01
01
00
11
10
11
10
10
10
01
11
10
00
00
10
00
00
10
10
00
01
00
10
00
10
11
10
11
00
11
11
01
00
01
00
00
01
11
00
01
01
11
10
10
00
10
10
10
01
00
11
00
10
10
01
10
10
00
00
01
01
00
10
01
01
10
11
11
10
01
00
10
10
10
00
00
10
10
10
10
10
10
11
01
01
11
10
10
00
11
01
00
01
10
10
10
11
10
11
00
00
10
00
00
10
01
00
10
10
10
10
00
10
00
10
11
00
10
10
00
01
00
10
11
00
00
01
11
10
01
00
10
00
10
00
00
10
11
10
00
00
00
00
10
11
00
01
10
00
11
10
01
00
01
10
00
10
00
10
10
10
00
10
01
00
00
00
11
11
01
10
10
00
11
10
00
00
00
10
11
01
11
10
10
11
00
00
00
10
10
01
00
00
01
10
10
10
01
11
00
00
01
00
10
00
01
10
10
00
11
11
10
00
10
10
10
10
00
01
00
11
11
00
00
10
10
11
01
00
01
11
11
01
00
10
10
01
00
10
10
00
01
10
10
10
11
01
10
10
00
00
10
11
00
10
11
00
00
10
11
00
10
00
11
11
01
11
01
01
11
11
11
10
00
01
10
10
00
01
00
10
00
00
10
10
01
10
11
00
00
10
00
10
11
00
10
00
10
10
10
10
10
10
00
01
10
10
01
11
00
10
00
00
11
10
10
10
00
10
01
11
01
00
10
01
10
00
00
10
10
10
11
10
01
10
01
10
01
00
00
10
00
10
11
00
00
00
01
00
01
00
11
00
10
10
10
00
01
01
01
11
01
11
00
10
10
01
10
11
00
00
10
10
10
00
00
10
10
00
01
10
11
10
00
00
00
11
11
10
10
00
00
11
10
10
00
00
11
10
00
01
01
01
10
10
11
11
01
01
00
11
10
11
00
11
01
10
10
00
00
10
01
00
11
00
00
11
11
11
00
01
11
00
00
01
01
11
10
01
10
00
00
00
10
11
10
01
00
00
10
00
00
11
01
00
11
00
11
10
00
00
11
10
01
10
10
01
00
01
00
11
10
10
01
00
10
10
00
00
00
10
11
11
01
01
00
10
00
00
11
00
01
10
10
00
00
01
00
10
11
00
00
11
00
00
10
00
01
01
00
01
11
11
00
00
10
00
11
00
01
10
01
00
00
00
00
00
10
10
01
10
11
01
01
11
01
10
11
11
01
10
01
01
10
10
00
10
10
01
01
00
10
10
01
10
11
11
00
00
01
10
10
10
11
01
00
11
00
10
11
00
00
10
10
10
00
00
11
10
00
10
11
00
00
10
00
00
10
10
11
10
01
10
10
10
10
00
10
11
01
01
10
10
10
00
10
11
10
10
00
00
00
11
11
00
11
00
10
11
11
01
10
00
00
10
11
10
00
11
00
10
00
10
01
10
10
00
11
10
11
00
11
11
11
01
00
01
10
10
10
00
01
10
10
01
00
00
10
11
00
00
10
00
00
01
10
10
11
00
11
00
10
10
01
10
10
00
00
10
10
10
11
00
01
01
11
01
00
10
10
00
00
10
10
11
11
00
00
10
11
10
10
00
00
10
00
00
00
11
00
10
10
01
11
10
01
10
01
01
01
11
01
11
10
10
01
01
11
10
00
00
10
01
00
00
10
01
00
11
10
00
00
00
00
01
00
00
00
10
00
10
10
00
00
00
11
10
00
00
00
10
00
00
10
10
00
00
00
00
10
00
10
01
00
00
00
10
10
10
11
00
01
10
00
11
01
10
01
01
01
10
10
11
00
00
10
11
00
11
00
01
00
01
00
11
10
00
10
10
10
00
11
01
00
10
00
01
01
10
00
10
01
01
10
11
00
11
10
11
00
00
10
10
01
00
10
10
01
10
10
11
01
01
10
00
01
00
10
10
01
00
11
10
00
10
11
00
01
00
10
10
01
10
10
10
01
00
11
11
00
10
11
11
00
01
10
10
01
10
00
00
00
10
00
11
10
00
10
01
10
10
00
11
00
00
11
10
10
00
00
00
01
10
01
10
11
11
10
00
00
10
01
01
10
10
10
00
11
10
00
01
10
10
10
00
01
10
11
10
11
00
00
11
11
10
11
10
01
10
01
00
01
00
10
11
11
11
10
10
10
00
10
01
01
00
10
11
11
00
00
11
00
01
00
00
10
10
10
00
11
11
01
00
01
00
10
10
01
10
10
01
01
10
10
00
00
00
11
00
11
10
10
01
00
10
01
00
11
10
00
11
10
00
00
11
01
11
01
01
00
01
10
10
01
00
01
10
01
00
00
10
10
11
01
00
00
10
10
11
00
11
10
11
01
11
10
00
10
10
10
00
10
10
00
00
11
00
10
00
00
11
10
00
10
10
00
01
10
10
10
00
00
11
00
00
10
10
10
01
10
00
01
11
00
10
00
10
10
10
01
00
00
10
01
10
00
01
10
00
00
11
00
11
10
11
00
01
10
01
00
10
01
01
11
11
11
00
10
10
00
10
10
01
00
01
00
00
01
00
01
00
11
11
01
00
10
10
00
11
10
11
01
01
00
00
11
00
01
11
11
01
00
10
10
10
00
11
00
01
00
00
10
00
00
10
11
01
10
00
10
00
10
10
01
00
10
10
10
10
10
00
00
10
00
00
00
01
11
10
00
11
00
01
11
00
10
01
10
10
00
10
00
00
10
00
00
11
10
01
00
11
00
11
11
00
11
10
00
11
00
00
10
00
00
00
00
11
00
00
11
10
00
10
10
10
00
01
01
00
10
00
00
00
10
10
11
10
11
11
10
00
00
00
00
00
11
10
00
00
10
10
00
00
10
10
00
11
01
10
10
10
10
01
10
01
01
10
10
01
10
10
01
01
01
11
01
01
00
11
00
10
10
00
10
10
11
00
11
00
00
10
00
01
11
11
00
10
10
11
10
00
10
00
10
00
01
10
00
00
01
01
00
00
10
11
10
10
00
10
11
10
00
01
00
10
00
00
00
11
11
10
10
00
00
00
00
01
10
11
00
01
00
01
10
10
10
00
00
11
10
01
10
00
10
10
00
00
00
10
11
01
10
00
10
10
10
10
11
01
11
11
10
01
00
00
00
11
10
01
10
10
11
00
00
01
00
11
10
01
01
10
10
10
01
11
10
01
00
00
10
10
00
00
00
10
10
00
10
00
11
10
10
00
10
10
10
10
00
01
00
00
00
10
10
00
10
11
11
10
10
11
00
10
11
00
00
10
00
01
01
10
10
10
00
10
00
01
01
10
00
11
11
10
11
01
00
10
00
11
10
00
00
00
01
01
10
10
11
00
01
01
10
00
00
10
00
00
11
11
10
00
10
11
00
00
00
10
01
00
11
00
01
10
10
10
01
11
11
10
00
01
10
00
11
10
00
10
00
11
00
01
10
00
11
10
10
00
00
00
10
00
10
10
00
00
00
10
00
01
10
10
10
11
10
10
10
01
00
00
00
11
11
10
10
01
10
00
00
10
01
00
10
01
01
01
01
11
00
10
10
10
10
01
00
11
00
11
00
10
11
00
00
10
10
01
10
10
10
10
01
00
11
01
00
11
10
00
10
00
00
01
11
00
11
10
00
10
10
01
00
01
10
10
00
00
11
10
00
00
11
11
01
00
11
11
00
01
00
01
10
11
00
10
10
01
00
10
10
00
00
00
10
10
10
10
01
00
00
10
00
00
11
00
10
01
01
00
10
11
10
10
01
11
11
00
10
01
10
10
00
00
10
10
00
10
00
00
10
10
11
01
00
00
11
01
11
11
10
00
01
11
01
11
01
01
10
01
10
01
10
10
00
01
01
10
11
00
00
00
00
11
10
10
00
10
00
01
10
10
01
01
00
11
11
00
00
01
10
10
00
00
00
10
00
00
10
11
00
10
10
10
01
10
00
10
00
10
11
00
11
00
00
11
01
00
00
00
01
01
01
00
10
10
11
10
01
00
00
10
11
10
00
00
10
01
01
10
00
10
10
10
10
01
00
00
00
10
00
10
10
00
00
00
00
10
11
00
00
10
01
00
11
01
11
00
00
10
11
00
00
11
10
01
00
01
10
00
00
01
00
11
00
00
00
01
10
01
00
11
00
00
10
10
01
01
10
10
01
00
01
00
00
00
10
11
11
10
00
01
01
10
10
00
11
10
00
00
10
00
00
10
10
01
00
01
11
00
01
10
10
11
00
00
10
00
01
01
00
11
10
11
00
01
10
00
01
10
01
00
11
01
11
00
01
00
10
00
00
10
10
01
01
10
10
10
00
01
11
01
10
10
00
00
00
10
00
10
00
11
00
11
00
00
10
00
00
00
00
00
10
10
00
11
10
10
01
01
10
10
01
01
11
10
10
11
11
01
10
00
00
10
10
01
01
11
11
01
01
10
10
00
01
10
10
00
10
11
10
10
00
01
00
10
00
10
01
10
11
00
00
10
11
10
11
10
01
00
10
10
00
11
10
00
01
10
11
01
10
10
00
10
10
01
01
10
01
10
00
01
01
01
10
11
00
11
00
00
00
10
10
00
10
10
00
11
11
10
10
10
00
01
00
11
10
10
10
10
00
00
01
00
10
11
00
10
00
00
10
11
10
01
10
10
01
10
10
10
11
01
10
10
01
01
10
10
00
10
10
00
10
10
10
00
00
10
10
11
10
00
00
11
10
00
01
10
01
11
01
00
11
10
00
00
10
11
10
00
01
11
01
10
01
10
10
01
00
01
11
10
10
10
01
10
10
10
00
00
11
10
01
00
00
10
10
00
11
10
01
10
01
10
10
10
00
11
10
01
01
00
10
00
11
10
00
01
10
00
01
10
01
10
10
11
11
10
00
00
10
01
10
00
00
11
00
10
11
00
00
00
10
01
00
10
00
10
10
11
01
01
11
10
00
01
00
10
10
01
00
00
10
11
10
00
00
10
11
01
00
10
01
00
10
10
00
10
00
11
00
01
10
10
00
00
01
10
10
01
10
01
10
11
01
10
10
00
00
10
01
00
00
10
00
10
01
10
10
00
00
11
11
11
01
11
00
01
00
10
11
01
00
10
00
00
11
10
00
01
00
00
01
11
11
01
10
10
01
01
10
11
00
00
10
11
01
10
11
11
00
00
00
10
01
10
11
01
00
01
11
01
10
10
01
01
11
11
01
01
00
00
10
10
01
00
10
10
10
01
01
00
11
10
00
00
00
00
00
00
10
10
10
01
01
10
11
00
00
10
10
00
00
11
10
01
11
00
00
11
00
10
00
00
00
00
01
10
01
00
10
01
01
10
00
00
01
01
11
11
10
10
00
00
11
11
10
10
01
00
10
10
00
01
10
11
01
10
11
10
10
00
00
01
01
00
10
11
10
11
00
00
10
10
00
11
10
00
00
01
10
00
11
10
10
11
11
00
00
00
11
10
00
10
00
00
10
11
00
10
10
00
00
00
01
10
01
00
10
00
01
00
10
00
10
00
10
10
00
01
10
11
10
00
01
11
01
01
00
00
10
10
00
10
11
00
11
10
01
00
10
11
00
11
10
00
11
00
00
00
10
10
11
10
00
00
00
00
10
10
01
10
01
10
11
00
10
10
10
01
00
10
00
10
10
00
00
10
00
00
11
10
11
00
10
11
11
00
00
00
10
00
10
10
00
11
00
00
00
10
10
11
11
00
10
11
01
00
01
00
00
10
00
10
11
00
00
01
10
01
01
01
11
10
01
00
10
10
01
10
11
00
01
00
10
10
11
10
00
10
11
10
10
00
00
10
11
00
10
10
01
01
01
10
11
11
10
00
01
00
11
01
11
10
11
00
01
00
00
00
10
00
11
00
01
10
10
00
11
10
00
01
10
11
11
00
00
10
01
01
01
10
10
01
10
01
00
01
10
10
00
01
01
10
10
10
10
10
10
10
00
10
11
10
01
10
01
00
10
01
00
10
10
11
10
10
00
00
10
10
00
01
01
10
11
11
10
00
00
00
01
11
10
01
00
11
10
10
10
00
11
11
01
00
00
11
11
00
00
00
10
11
00
10
10
11
11
01
10
00
11
01
00
01
00
11
00
11
11
10
00
01
01
10
00
00
10
10
10
01
01
11
01
00
00
10
00
10
11
01
00
10
01
11
00
11
01
10
11
01
00
11
11
00
10
10
00
00
10
10
10
10
01
10
00
00
00
10
11
00
00
10
10
10
01
11
00
01
00
00
10
00
10
00
00
10
10
10
00
00
10
00
01
11
10
11
01
11
00
10
00
01
10
11
00
00
10
01
00
10
10
00
10
01
01
10
00
01
11
01
00
00
00
10
00
10
11
00
01
10
00
11
10
11
11
01
00
10
10
01
01
00
00
10
10
10
00
00
01
00
00
00
00
10
10
00
10
10
11
10
00
00
01
00
00
10
11
10
10
00
00
00
11
00
10
01
10
01
00
00
01
10
01
10
10
11
10
10
11
00
01
10
11
10
10
10
00
00
10
00
10
00
00
10
00
01
10
11
01
01
00
10
00
10
01
11
10
01
10
00
00
00
00
01
01
10
10
11
00
11
01
10
00
11
10
00
10
11
10
10
01
01
10
11
00
00
10
00
10
10
01
10
01
00
00
11
10
10
10
01
00
00
11
01
01
10
01
01
10
00
00
00
10
11
10
01
01
10
10
00
00
00
00
10
00
00
00
11
10
01
01
00
10
01
10
10
10
01
11
10
10
10
10
00
10
10
01
01
10
00
10
01
11
11
11
00
00
10
11
00
00
11
00
10
00
11
11
01
00
00
11
11
00
01
10
01
01
11
00
10
10
10
00
11
11
01
00
00
10
00
11
10
00
01
10
10
10
00
10
00
10
00
00
11
10
01
10
10
10
11
01
11
10
00
10
10
00
01
11
10
11
00
01
10
00
00
10
10
10
11
00
01
00
11
01
10
00
01
00
11
10
11
00
00
11
00
10
10
10
11
01
00
10
11
00
11
01
01
00
00
10
01
10
00
10
10
01
00
00
10
00
00
10
00
01
11
10
01
01
01
10
10
01
11
11
00
11
10
10
00
00
10
11
00
00
01
00
00
01
00
11
00
11
11
10
10
01
01
11
00
00
10
10
00
00
10
11
00
10
00
00
10
11
01
01
10
11
11
11
11
00
00
11
11
00
11
10
01
00
10
00
10
10
00
00
11
11
00
01
00
10
00
00
11
00
00
01
00
00
01
10
10
01
11
00
10
10
10
01
01
10
01
00
00
10
00
00
11
10
11
10
11
11
01
10
00
00
10
10
01
00
00
00
01
10
10
01
10
00
01
00
11
10
01
00
00
10
11
00
01
10
11
10
00
11
10
00
01
11
10
00
11
01
00
00
10
10
10
11
01
00
10
00
00
10
01
10
10
10
00
01
00
11
10
10
10
11
00
10
01
00
10
01
10
11
11
00
10
11
10
10
00
00
10
11
01
00
11
00
01
01
00
11
10
00
10
10
01
10
10
10
11
00
10
10
01
10
00
10
10
00
00
10
11
00
00
11
01
00
00
10
00
00
10
00
10
11
00
00
01
11
00
11
10
01
00
00
10
11
11
10
01
00
00
10
10
01
00
11
11
00
00
00
10
10
00
00
11
10
10
10
00
00
00
00
10
11
11
10
01
00
00
10
10
01
10
00
00
10
00
00
10
10
00
00
11
01
11
11
11
10
10
00
11
00
11
10
00
01
10
11
00
00
10
00
00
10
10
00
00
11
11
11
10
00
10
11
10
00
10
10
00
10
11
11
00
01
11
10
11
10
00
00
00
00
11
10
00
10
01
00
00
10
10
10
11
00
00
10
10
01
01
10
10
00
10
10
11
00
00
11
01
10
10
10
10
10
11
11
00
00
10
00
11
00
10
10
00
00
00
10
00
10
00
11
11
11
01
10
10
01
00
10
10
00
10
10
10
00
00
10
11
01
01
00
11
10
00
00
00
10
01
11
10
11
11
11
01
00
11
11
00
00
10
10
00
01
11
10
01
00
10
10
10
00
10
10
00
10
00
10
00
01
10
10
01
10
10
10
10
01
01
11
10
01
10
11
10
11
00
00
00
10
00
00
10
11
01
10
00
00
00
00
00
11
11
01
10
00
00
10
00
11
10
11
10
01
00
01
00
00
10
10
00
00
10
11
00
00
00
00
10
10
10
10
00
00
10
01
00
01
01
10
10
10
10
10
00
00
10
11
00
01
10
11
10
10
11
01
10
10
11
00
00
11
10
10
01
10
01
01
10
11
11
11
00
10
10
10
10
00
10
10
00
00
10
01
10
10
01
10
10
00
00
01
10
01
11
10
01
00
00
10
10
10
01
11
10
11
10
00
01
01
10
11
01
10
01
00
00
10
11
00
11
00
10
00
01
00
11
00
00
00
11
10
01
10
11
00
00
00
00
00
10
00
00
10
10
00
10
00
11
10
11
00
11
01
00
10
01
10
10
10
00
01
01
01
10
11
11
10
00
01
10
10
01
01
10
00
00
10
01
00
10
10
00
10
10
00
00
10
00
00
10
11
01
11
11
10
11
10
10
00
00
00
10
11
00
10
10
00
00
11
10
00
11
10
11
01
10
10
00
10
10
11
00
11
10
01
10
10
11
10
10
00
01
10
01
00
00
11
10
01
10
10
00
00
00
10
11
10
10
01
11
01
00
01
00
11
00
10
10
10
00
11
11
00
00
01
10
01
00
00
10
00
00
11
01
01
11
00
00
10
10
10
00
01
00
11
00
11
11
11
01
01
11
01
01
11
10
00
00
00
10
11
00
00
00
10
00
10
00
01
10
00
00
00
11
11
00
10
10
10
11
00
11
10
01
00
00
10
11
10
00
00
10
00
01
00
00
00
01
01
00
00
11
10
11
00
10
10
10
01
00
10
01
10
00
10
11
10
10
00
11
10
10
11
01
10
10
00
01
10
11
00
00
10
10
01
10
00
01
00
11
11
00
01
01
11
00
10
11
10
00
10
01
00
00
10
00
01
10
00
00
00
11
10
10
10
00
00
10
00
11
00
11
10
11
00
00
10
00
00
10
00
10
00
10
10
00
01
10
10
10
10
11
00
10
00
00
00
00
10
01
10
11
10
10
00
10
01
01
11
00
00
11
01
00
00
01
10
00
11
10
01
01
11
10
10
11
00
10
00
00
00
10
01
00
01
00
10
10
00
11
11
01
00
00
10
11
00
10
00
01
10
00
00
10
10
00
10
01
10
00
10
11
00
10
00
11
11
10
00
00
10
00
00
10
00
10
00
00
10
11
10
00
10
10
01
10
11
01
11
11
00
01
01
11
11
10
00
00
10
00
01
10
01
11
11
00
01
10
10
11
00
01
10
11
10
01
10
11
10
10
00
01
11
11
01
00
10
10
00
10
01
11
11
11
01
00
00
01
10
10
00
10
10
11
00
00
01
11
10
10
00
00
10
11
11
10
00
10
00
11
11
01
10
01
00
01
01
01
10
00
10
10
10
00
00
10
00
10
11
11
01
00
10
01
10
01
01
10
10
00
00
10
00
10
01
11
11
01
11
10
10
10
10
00
00
00
10
10
00
10
00
10
10
10
00
00
00
00
00
10
00
00
10
10
10
01
10
10
01
00
11
11
00
00
11
11
01
01
11
10
00
01
11
10
01
10
11
00
00
00
01
00
00
00
11
00
00
00
01
10
10
10
11
01
00
00
10
10
01
11
10
10
11
10
01
00
00
01
01
00
00
10
10
00
01
10
01
00
10
00
10
11
01
00
11
11
10
10
11
00
00
11
10
10
11
11
10
10
00
01
00
10
10
10
00
11
00
00
10
01
11
10
00
11
10
00
00
10
10
10
00
00
11
10
10
01
00
11
11
01
10
11
00
10
00
00
10
11
00
00
10
10
00
10
11
00
10
00
10
01
00
10
01
11
01
01
10
10
00
00
10
10
01
01
01
10
00
11
10
10
00
01
10
00
11
01
10
01
01
00
10
10
10
10
00
00
00
10
00
10
00
00
11
10
00
01
10
00
00
00
11
01
11
11
01
01
00
11
10
01
11
11
11
00
00
00
10
11
11
01
10
00
00
11
11
00
10
10
01
00
00
11
10
11
00
00
10
10
01
00
10
10
10
00
10
00
01
00
11
10
00
11
11
01
00
10
11
10
10
00
00
10
10
11
10
01
01
00
01
10
11
10
01
00
00
00
10
00
10
11
00
01
01
10
00
11
10
00
10
11
11
00
00
00
00
10
00
00
11
00
11
10
00
01
10
01
01
01
11
11
10
00
01
10
10
00
01
10
00
01
10
00
11
10
01
10
00
00
00
10
11
10
10
00
01
10
10
01
00
11
01
10
00
00
10
10
11
00
00
00
10
11
00
10
00
01
11
01
01
10
10
00
11
00
00
10
10
10
10
00
00
00
11
01
01
10
00
10
01
00
10
00
00
11
10
10
10
01
10
00
10
10
11
00
00
01
00
01
00
00
01
10
00
01
00
11
10
00
11
10
01
10
00
01
11
01
10
10
11
11
11
11
00
00
01
11
10
10
11
11
00
10
00
00
00
10
00
00
01
11
11
01
10
00
10
11
00
01
10
10
00
00
10
01
00
11
10
10
00
01
00
00
10
10
10
11
10
11
10
10
11
00
00
01
11
00
00
00
10
00
10
00
00
11
00
11
10
00
00
11
01
11
10
01
11
01
10
10
00
00
10
10
11
00
11
10
00
10
00
10
11
00
00
00
10
11
11
00
10
00
10
10
10
00
00
00
10
11
01
10
10
11
10
00
00
10
10
00
00
10
00
10
11
00
10
00
00
00
01
00
10
01
00
11
11
11
00
11
10
01
11
11
10
00
00
00
10
11
00
00
11
11
11
01
00
10
00
00
01
00
00
10
01
00
00
00
11
00
01
00
00
01
01
00
00
00
11
11
00
10
00
00
10
01
10
00
00
01
11
00
00
10
11
00
01
10
00
00
11
00
10
00
00
10
10
00
00
10
10
10
11
10
00
11
00
01
01
00
10
00
01
10
10
00
00
11
10
01
00
10
00
00
10
11
10
00
10
10
01
10
10
01
01
00
11
00
00
11
10
10
00
01
10
00
00
00
10
00
01
10
10
01
10
11
01
10
10
10
11
00
01
10
11
10
11
01
00
10
10
00
00
10
10
01
00
10
11
10
11
11
00
10
11
10
00
00
10
11
10
00
00
10
10
11
00
01
01
00
11
11
01
11
10
01
10
10
01
01
11
11
00
01
01
00
10
11
00
11
00
00
11
01
01
11
10
11
10
01
00
10
10
01
10
10
11
00
11
00
00
11
10
00
00
11
00
01
00
00
10
10
10
00
10
00
10
10
00
10
11
01
00
00
11
01
00
10
00
11
11
11
01
00
01
01
10
00
01
10
00
10
10
00
10
10
10
00
10
10
00
01
11
00
10
10
11
10
01
01
10
10
00
11
10
00
00
00
10
10
10
01
00
00
00
10
01
11
01
10
10
11
00
00
00
00
10
10
00
00
00
10
11
10
00
10
00
01
10
11
10
11
00
00
00
11
00
11
00
00
01
01
01
10
10
00
10
10
00
11
11
01
00
11
10
00
00
11
01
10
11
01
11
10
11
00
00
11
11
01
11
10
00
00
10
10
11
00
00
00
10
10
00
00
10
10
10
11
00
00
10
00
01
00
10
00
01
10
10
00
10
10
10
10
00
01
00
00
00
10
01
11
10
00
00
01
00
10
11
01
10
01
11
00
10
10
00
01
00
10
10
00
10
11
10
10
10
11
10
01
01
10
00
10
10
00
00
10
10
10
00
10
11
11
00
00
00
00
10
11
10
00
10
00
00
10
01
10
10
01
11
10
10
00
00
10
10
01
01
11
00
01
10
01
00
11
10
00
01
00
00
11
01
00
10
10
01
10
11
11
11
01
01
00
11
00
00
10
11
00
10
00
00
10
10
10
01
01
10
00
00
01
00
10
00
00
10
10
10
01
10
00
11
00
00
11
10
11
00
00
10
00
01
11
00
01
00
10
10
00
10
10
10
00
00
00
10
10
00
00
10
01
01
11
00
11
00
11
10
10
11
01
00
10
10
01
10
11
01
00
11
10
01
10
00
00
10
11
11
11
00
10
00
10
10
00
01
00
10
11
10
00
10
10
11
10
00
01
10
11
11
11
10
11
00
00
11
10
00
00
10
10
00
01
10
01
11
11
01
01
00
11
10
00
10
11
00
01
10
10
10
00
10
10
00
00
00
01
11
01
11
10
00
11
01
10
10
00
01
10
00
00
00
00
00
10
10
01
00
00
11
11
00
01
10
11
00
00
00
10
00
00
10
10
10
11
00
10
01
10
11
10
10
00
10
11
01
00
00
10
10
11
11
01
00
10
10
10
00
00
11
11
11
10
10
01
10
01
00
11
10
10
00
00
01
10
10
01
00
10
11
00
00
10
01
10
11
00
00
10
10
00
00
10
10
00
00
11
01
00
00
10
11
01
10
00
01
10
01
00
11
01
00
10
00
00
01
11
10
00
01
00
00
00
11
10
10
00
10
00
10
10
01
10
10
00
00
10
11
01
01
10
11
00
10
11
10
01
01
10
01
10
10
00
10
10
10
10
11
00
10
01
11
00
01
11
00
01
00
00
10
10
00
00
01
11
10
01
10
01
00
00
10
11
00
10
10
00
10
00
01
00
11
00
00
10
10
11
10
00
00
01
10
00
10
10
11
01
00
00
00
10
10
00
01
11
10
11
10
10
00
10
11
01
00
10
10
01
01
00
10
01
00
10
11
10
10
01
10
00
11
10
10
11
10
10
01
00
11
10
01
00
00
00
10
11
00
01
00
01
10
10
10
00
00
10
11
00
10
10
10
00
10
10
01
11
00
01
11
00
00
10
10
10
00
00
00
10
10
10
01
00
01
00
10
00
00
00
10
00
01
00
01
00
10
10
00
10
10
00
10
00
00
00
10
00
10
00
01
00
00
11
00
01
00
10
00
00
10
00
10
10
00
01
00
10
10
00
00
11
10
01
00
10
10
00
10
10
00
00
10
11
00
00
00
10
11
10
11
01
00
00
01
00
10
10
00
00
00
10
11
01
01
10
10
00
11
11
00
10
10
11
00
00
11
11
11
01
00
00
10
10
10
10
00
11
10
01
01
00
11
01
00
10
00
10
01
00
01
10
10
01
00
00
00
01
11
10
00
01
10
01
10
01
00
10
10
10
11
00
00
01
10
10
01
11
11
01
10
11
00
10
11
00
01
10
10
10
00
01
01
00
10
00
00
00
10
11
11
01
00
11
01
11
00
10
11
00
00
11
10
00
10
10
00
10
10
00
00
11
00
10
00
00
10
11
10
00
01
01
00
10
11
00
00
10
10
11
01
10
00
11
00
10
00
10
00
11
10
01
00
00
10
01
00
10
00
10
01
11
11
00
00
10
00
10
11
00
01
01
11
01
10
00
00
10
11
10
00
01
10
00
10
10
01
00
10
11
10
00
11
10
10
10
01
00
10
10
00
01
00
10
00
00
11
00
10
11
11
00
11
00
00
10
00
01
11
11
00
00
00
11
00
00
10
10
10
00
00
00
00
10
10
00
10
10
11
11
10
10
10
10
00
01
00
11
10
00
01
00
10
11
01
01
01
00
01
00
00
10
10
00
10
10
10
00
00
11
10
10
00
00
11
00
00
00
11
11
01
01
10
00
10
10
01
11
10
10
10
00
10
10
00
01
10
11
10
10
01
01
00
00
10
10
00
00
01
00
00
10
11
01
01
11
10
00
10
10
00
10
11
00
10
00
10
11
11
11
00
01
00
11
00
11
10
00
01
10
10
10
10
00
00
00
00
10
11
00
11
10
01
10
01
00
10
11
00
10
10
00
01
10
00
01
10
01
00
10
11
00
11
01
01
10
00
00
00
00
11
00
00
00
11
00
00
10
10
10
00
00
00
01
00
10
00
00
11
10
01
00
10
10
01
10
01
00
10
00
01
01
11
11
00
10
10
00
11
10
00
10
00
10
00
10
10
01
01
01
00
00
00
10
11
10
10
00
00
10
01
10
10
01
00
11
00
11
01
00
10
10
11
10
00
00
11
11
10
01
00
00
00
11
11
10
11
10
01
00
00
01
00
11
10
00
10
11
00
10
10
01
10
10
00
00
00
00
00
10
10
00
10
01
10
00
00
00
10
10
01
10
11
00
00
01
11
00
01
01
11
01
10
10
01
00
10
10
11
01
11
00
00
10
10
10
00
00
11
11
01
11
00
10
11
00
10
10
01
00
11
00
10
00
00
10
00
10
11
01
01
00
10
01
00
10
00
10
10
01
00
10
00
00
10
00
00
11
00
00
00
10
10
01
10
11
00
00
10
11
11
10
01
10
00
00
10
01
00
00
10
10
11
00
10
11
01
01
00
00
00
11
01
00
10
10
10
01
01
00
00
01
11
10
01
00
10
11
00
00
00
11
11
10
00
10
00
01
01
10
00
00
10
00
01
01
00
11
11
10
10
00
10
00
10
10
00
00
00
10
00
01
11
00
00
10
00
10
10
11
00
10
10
00
10
01
10
11
11
10
00
00
01
10
11
11
10
10
00
00
10
10
10
00
00
00
10
10
00
10
00
00
00
10
10
10
00
10
11
00
01
00
00
10
10
10
10
10
00
00
10
10
00
11
10
10
00
00
00
10
00
00
10
11
10
00
10
00
00
11
00
10
00
00
10
00
00
00
11
11
00
01
01
10
01
10
10
10
01
01
00
10
11
01
11
01
00
11
11
01
10
00
01
10
01
00
11
10
10
00
00
10
00
10
10
10
10
10
00
10
00
10
11
00
01
00
11
10
00
10
00
01
10
11
00
10
00
00
11
10
00
00
11
11
00
00
01
10
10
00
10
10
01
00
10
01
00
00
10
11
00
10
10
10
01
01
10
00
00
00
00
10
01
10
00
01
00
00
10
00
00
10
11
10
00
00
10
00
10
10
10
10
01
00
00
00
01
10
11
01
10
11
00
01
11
10
00
01
00
11
10
00
11
01
00
01
00
11
11
11
00
01
00
00
10
10
10
00
01
10
00
01
10
10
11
11
00
01
11
10
00
10
10
01
01
00
00
10
00
00
11
11
10
00
01
10
00
10
01
11
10
01
01
01
11
10
01
11
10
11
11
00
01
00
00
00
01
00
00
01
10
10
01
00
10
11
01
10
11
11
00
00
10
00
00
01
10
10
01
00
11
01
10
10
00
11
10
01
00
00
11
11
11
10
11
10
10
01
00
11
00
00
10
10
10
11
01
01
00
11
11
11
01
00
00
10
00
00
01
11
00
00
11
00
10
00
00
01
00
11
00
11
11
01
10
00
10
10
10
00
00
11
00
10
10
10
00
00
10
10
01
01
00
10
11
11
01
10
10
00
10
10
00
11
10
00
00
11
10
11
10
11
10
10
01
00
11
10
01
01
10
11
10
10
01
11
10
10
00
00
10
01
00
10
11
00
01
10
10
11
00
10
00
11
10
11
11
01
11
10
10
10
10
00
00
11
01
01
10
01
01
00
01
11
11
10
11
01
11
00
10
01
11
00
00
11
00
10
00
10
10
10
10
00
11
10
11
00
10
11
01
01
00
01
11
00
10
11
00
01
10
00
00
10
00
00
10
10
00
11
00
01
11
10
00
10
10
10
11
01
10
11
01
00
11
10
00
00
01
00
10
10
00
10
01
10
00
00
10
00
00
11
10
11
00
10
00
01
11
01
10
11
11
00
00
00
11
10
11
00
10
10
01
00
01
01
11
10
00
00
10
11
01
01
10
10
10
11
00
00
10
10
00
01
00
00
00
10
10
10
10
01
11
00
00
10
10
01
10
10
10
00
01
11
00
10
11
01
01
10
10
01
10
11
01
10
00
10
10
01
00
11
00
00
10
10
10
10
00
01
00
01
00
11
10
10
10
01
11
11
10
00
01
00
10
00
01
11
01
11
10
00
00
00
11
10
10
11
01
10
10
01
00
00
10
10
10
10
01
00
10
10
11
01
00
00
11
00
11
10
01
10
01
10
01
00
10
10
01
10
10
00
00
00
01
10
10
10
10
00
00
10
00
01
10
11
10
00
00
00
11
11
10
00
11
10
10
10
00
00
11
10
00
10
10
10
00
00
10
00
00
00
10
10
00
11
10
10
01
00
01
00
01
01
00
11
00
10
10
11
00
10
11
01
10
00
00
00
10
11
11
10
10
00
00
10
01
10
11
01
11
10
11
00
10
01
00
11
10
10
00
00
00
00
10
10
10
00
11
11
11
10
10
11
00
00
10
10
01
00
00
10
00
10
00
10
01
11
11
10
01
01
01
00
01
10
01
10
10
00
01
00
10
10
11
10
10
00
01
01
10
10
10
00
10
11
00
01
10
01
01
01
10
00
11
00
00
10
10
01
01
11
01
10
10
01
00
10
10
10
10
00
10
10
10
00
00
00
10
00
10
10
00
00
10
00
01
10
11
00
00
00
10
10
00
00
11
11
11
10
01
10
01
10
10
01
01
11
10
10
01
10
10
00
10
11
11
00
00
00
10
10
11
01
00
10
11
10
11
00
00
11
01
10
01
10
10
00
10
10
10
00
00
11
00
10
01
01
11
10
11
10
00
10
01
00
10
11
01
10
11
01
10
11
10
00
11
01
00
01
10
10
10
10
01
11
00
00
00
00
10
01
00
00
10
01
01
00
00
10
10
00
10
01
01
10
11
00
01
00
01
00
01
00
10
10
00
10
10
10
01
01
00
11
10
10
11
00
10
00
01
01
10
00
10
10
10
00
11
10
00
00
00
10
00
00
01
00
11
10
11
00
00
00
10
10
10
00
00
01
10
10
10
11
00
01
01
11
11
00
00
11
00
11
00
10
00
00
11
00
10
00
00
00
10
00
00
10
00
10
10
01
01
10
01
10
10
11
11
10
10
00
10
01
10
11
00
00
01
11
01
00
10
10
10
01
11
00
01
11
10
10
10
00
00
00
10
00
00
10
10
10
00
00
01
11
10
00
11
00
00
10
00
11
10
01
11
00
00
11
00
11
00
00
11
00
00
00
01
10
11
01
01
10
01
00
10
11
00
00
11
10
11
10
01
10
00
01
00
11
10
01
00
00
11
11
00
00
10
10
11
00
01
00
00
11
00
00
11
10
01
01
10
10
10
11
11
00
01
11
11
10
11
00
00
10
01
10
00
00
10
10
00
11
10
00
01
01
01
11
00
01
10
00
10
10
00
11
00
00
11
10
00
11
01
01
01
10
00
00
10
10
10
00
00
00
11
10
00
01
01
10
10
00
10
10
10
11
00
11
00
01
11
00
00
11
00
00
00
01
11
10
11
01
11
11
01
10
10
01
11
00
01
10
11
00
01
11
10
00
10
00
01
10
10
00
10
10
00
10
11
00
00
10
01
10
10
10
10
11
11
10
00
01
10
01
01
10
10
00
10
10
10
00
11
00
00
10
00
00
11
01
01
10
01
11
00
10
10
00
00
10
00
01
10
10
10
11
10
00
11
00
01
10
10
00
00
00
10
10
00
00
10
11
01
01
10
10
00
10
01
00
11
11
10
11
10
00
00
00
01
00
00
10
00
00
00
00
11
10
00
00
11
10
10
00
10
10
00
11
11
10
00
00
00
00
10
10
10
01
00
11
01
11
10
10
10
01
11
00
00
10
10
01
00
00
10
10
11
01
10
00
10
11
00
10
10
00
00
00
00
10
01
10
00
00
10
00
10
00
01
11
00
11
11
01
10
10
00
10
10
10
10
00
01
10
00
01
10
01
00
10
10
01
00
01
10
10
11
00
10
10
00
00
00
00
10
10
00
00
10
01
10
01
00
10
00
00
10
00
00
00
10
01
11
00
00
11
10
01
00
00
10
01
00
10
10
00
11
11
10
00
01
10
11
00
10
11
00
00
00
00
00
01
10
10
01
00
11
00
11
10
10
10
01
00
00
00
01
00
00
01
10
11
11
00
00
01
11
11
01
10
10
00
10
11
00
00
01
00
01
10
00
00
01
10
01
00
11
11
10
10
10
00
00
10
00
10
00
00
11
11
11
01
10
01
10
10
11
01
10
10
01
00
10
10
00
00
10
11
11
10
11
11
11
00
00
01
11
01
01
10
01
00
00
11
10
11
01
00
10
11
11
01
11
10
00
00
11
10
00
11
10
00
10
10
10
11
10
01
00
01
00
10
00
00
10
01
00
10
10
01
11
10
10
10
10
10
10
00
00
10
00
10
00
10
10
10
10
10
01
00
11
10
10
10
10
00
11
10
00
00
01
10
11
01
01
11
11
00
10
10
00
01
00
00
10
10
00
01
10
01
01
00
10
00
01
00
10
10
11
10
00
00
10
00
11
00
00
00
11
00
10
11
00
01
01
01
10
11
00
01
10
01
11
01
01
10
00
00
10
11
10
01
00
10
10
11
10
00
10
00
11
00
10
10
01
00
00
10
00
11
10
00
11
00
10
11
10
01
00
10
10
10
00
10
00
00
10
10
11
11
01
10
10
10
00
10
01
00
00
10
01
10
00
00
11
10
11
01
00
00
00
11
10
00
01
10
11
10
00
10
10
01
11
01
00
11
10
11
01
01
01
01
10
10
10
00
01
01
10
11
00
10
10
00
10
11
01
00
01
10
11
01
00
11
11
01
00
00
10
11
10
01
01
01
10
10
11
00
00
10
11
10
00
00
01
00
00
11
00
00
10
01
10
10
00
00
00
10
10
01
00
10
10
11
11
10
00
00
11
10
10
00
11
00
10
01
00
00
01
10
00
00
10
10
00
11
11
10
11
01
10
10
00
11
11
10
01
01
10
10
10
10
11
00
00
00
10
00
01
00
10
11
10
00
01
10
01
01
01
01
01
11
11
10
00
00
11
00
00
11
00
10
11
10
00
00
10
00
10
10
10
00
00
10
10
00
00
10
00
00
00
01
00
10
10
00
01
11
11
01
00
11
00
00
11
01
00
10
11
10
01
11
10
00
01
00
00
01
10
00
10
10
11
11
01
11
01
01
11
01
01
10
10
10
01
01
10
00
01
00
10
11
11
11
00
00
10
01
00
10
00
00
00
01
00
10
01
00
10
00
10
10
00
01
11
10
10
10
00
10
10
10
10
11
10
11
00
11
10
10
00
00
00
10
10
00
11
11
11
00
10
00
00
00
10
11
01
00
10
10
01
11
01
10
00
00
00
00
00
11
10
11
00
10
10
11
10
00
10
10
10
00
10
00
00
10
01
01
10
10
10
10
01
00
00
10
01
11
10
11
10
00
01
00
00
10
00
00
00
00
10
10
11
00
10
00
10
10
01
01
00
00
10
01
10
10
01
00
00
10
10
00
01
00
11
00
10
01
10
00
00
11
00
00
10
10
11
10
11
00
00
01
10
10
10
00
00
10
11
01
00
10
00
11
00
01
11
00
10
00
10
11
00
00
10
00
00
00
10
10
11
00
00
11
11
11
11
11
01
00
00
00
10
11
00
00
11
11
01
11
10
01
00
01
00
10
10
00
10
10
00
00
11
11
01
00
01
00
00
00
10
01
01
01
11
00
00
10
00
00
10
00
00
11
00
00
10
10
10
00
00
11
10
10
11
00
10
10
10
10
10
10
01
01
00
00
01
00
11
00
01
00
10
00
10
11
01
01
10
00
00
00
10
00
01
10
10
10
01
10
11
00
10
10
01
00
10
00
00
11
11
01
00
10
00
01
10
00
10
10
10
00
00
10
10
00
00
00
10
11
01
11
00
11
00
10
10
00
00
00
01
11
00
10
10
10
11
00
00
00
00
00
00
00
10
11
11
10
00
00
10
11
10
01
01
01
01
00
00
11
10
10
00
00
11
00
10
00
01
00
11
01
00
01
10
10
00
10
11
01
11
11
11
01
00
00
10
10
10
01
00
00
00
00
00
00
10
10
01
01
10
11
11
10
10
00
10
10
01
11
00
01
00
01
10
11
11
01
00
10
01
00
00
10
11
01
11
11
00
10
11
10
10
00
00
10
00
11
00
10
10
00
10
01
01
10
01
00
11
11
00
00
10
10
01
10
10
00
01
01
10
00
00
10
10
10
11
00
10
10
10
10
10
10
11
11
01
01
00
01
10
11
01
01
10
10
11
10
10
10
00
10
00
10
10
01
00
10
01
10
00
10
10
10
00
00
11
01
00
11
01
10
00
10
01
00
11
11
10
01
00
10
10
11
10
10
00
01
10
10
00
00
01
11
00
01
10
00
00
11
10
11
00
01
11
01
10
10
11
00
11
10
11
00
11
10
01
10
00
10
10
11
00
00
11
11
00
00
00
10
10
00
00
11
10
00
00
10
11
10
00
00
11
00
10
00
01
11
01
10
10
11
00
00
10
10
00
00
11
00
01
00
10
11
10
01
01
00
10
00
10
10
11
00
10
10
10
10
10
00
11
11
01
00
01
10
01
10
00
00
11
10
00
01
00
01
00
10
10
10
01
01
11
11
00
11
00
10
10
00
00
10
01
00
01
10
01
11
01
00
11
01
00
11
10
10
11
00
00
01
00
10
00
00
10
00
00
11
11
01
11
10
00
00
10
10
01
00
01
00
11
00
11
01
10
00
10
00
00
10
10
00
00
01
01
10
10
00
00
00
10
10
01
00
11
10
10
10
11
01
00
11
10
00
01
00
11
11
11
00
00
01
10
11
10
11
01
00
00
10
10
01
01
00
10
11
00
00
10
01
10
10
10
11
11
00
00
11
00
01
00
00
11
00
00
00
00
10
10
00
10
00
00
10
10
10
00
10
01
01
10
00
10
10
10
10
00
10
10
00
10
00
10
11
10
00
10
00
10
00
00
00
10
01
10
10
00
11
00
00
11
00
00
10
10
11
00
00
00
10
10
10
11
00
00
00
11
10
00
01
00
00
10
11
00
10
11
10
11
00
00
10
10
00
10
10
00
00
00
00
10
10
10
10
00
11
00
10
00
10
10
01
10
00
00
01
00
00
00
01
10
10
00
11
10
00
10
11
01
00
10
10
01
00
11
00
01
10
10
10
01
10
10
10
01
10
01
00
01
10
01
00
11
10
01
00
11
10
01
00
11
10
01
00
10
01
00
00
11
10
00
10
10
00
11
00
10
10
01
00
10
10
10
10
00
11
01
11
11
11
10
10
01
10
11
10
01
00
10
10
01
11
10
10
00
00
00
10
11
10
00
10
00
00
10
01
00
01
11
10
00
10
10
10
10
01
01
10
10
11
00
01
10
10
01
00
10
00
10
10
11
10
10
11
00
00
01
10
11
10
00
10
11
01
10
01
00
01
11
00
00
11
10
10
10
00
00
10
11
00
10
00
00
10
00
10
10
01
01
10
11
00
01
11
01
10
00
01
11
10
11
00
00
10
10
00
00
00
11
01
00
11
10
10
10
11
10
00
11
00
10
10
11
00
11
10
10
10
01
10
00
00
10
10
01
00
10
10
10
10
10
01
10
11
10
00
10
11
00
10
00
00
00
11
10
01
10
01
10
00
01
10
10
00
10
11
10
00
00
10
11
10
00
00
10
11
10
11
11
00
00
10
11
00
10
10
01
01
10
10
11
10
11
10
00
00
10
00
01
10
10
10
01
10
00
10
01
01
00
00
01
11
00
10
11
01
00
11
00
10
00
10
10
00
00
10
10
11
00
10
00
11
00
10
01
01
10
10
10
01
11
10
10
00
11
10
01
10
11
10
10
00
10
01
10
10
00
01
00
00
01
00
01
10
10
10
10
10
01
01
11
10
00
11
10
11
00
00
00
11
00
11
01
00
00
01
00
01
00
11
10
01
01
01
10
11
11
01
11
10
00
00
10
10
01
10
00
01
10
01
10
00
10
10
01
00
01
00
10
10
00
10
10
11
00
00
10
01
00
10
10
00
01
10
10
10
10
00
00
01
11
00
00
10
10
11
01
00
00
11
10
00
10
11
00
00
10
01
01
10
10
00
01
10
00
11
00
01
01
11
00
00
00
00
10
11
00
10
10
00
00
11
10
00
00
10
00
10
00
11
00
00
00
11
00
10
10
00
10
01
00
11
10
00
10
10
11
01
10
10
00
10
10
11
00
01
10
10
01
01
00
10
10
01
10
11
10
10
10
00
00
00
11
10
01
00
00
10
00
10
10
00
01
00
11
00
01
01
11
00
10
10
10
11
00
10
00
00
00
00
00
10
11
00
11
00
01
00
01
10
10
10
01
10
11
10
00
11
10
00
10
10
00
10
00
01
01
10
01
00
01
00
10
11
10
10
00
10
11
01
01
00
01
10
10
00
00
10
10
10
00
10
11
00
10
00
01
01
01
00
11
10
01
10
01
00
11
00
00
10
11
10
00
00
10
00
10
01
10
00
10
10
00
01
10
10
10
00
10
01
01
10
10
00
01
00
11
10
01
00
10
10
00
10
10
10
00
00
10
00
00
01
11
10
11
00
10
00
01
00
11
00
00
10
11
00
01
00
00
00
10
10
10
01
00
11
11
00
00
10
00
00
00
10
00
10
10
11
10
11
00
10
10
00
11
10
00
00
10
10
11
10
00
11
10
00
10
01
00
11
00
00
01
10
00
11
10
10
10
00
00
01
00
01
00
10
11
00
01
11
00
00
00
10
11
10
10
01
11
11
01
00
10
01
00
00
10
01
00
00
10
10
10
10
01
01
11
11
01
01
10
10
10
10
00
10
10
01
10
10
01
01
01
11
01
00
01
00
01
10
00
00
10
10
10
10
01
00
00
10
01
00
11
00
11
00
00
11
00
01
10
00
01
01
10
00
01
00
10
00
01
00
10
11
10
10
00
00
10
00
11
11
00
10
10
00
01
01
11
01
01
11
01
10
10
10
00
00
11
10
00
10
00
10
10
01
00
11
11
00
10
01
00
11
00
00
11
00
00
10
01
00
00
00
00
00
01
10
10
00
00
10
01
11
11
00
00
11
10
11
11
00
01
10
00
00
10
11
00
11
11
10
11
10
01
00
10
11
00
00
11
00
00
10
00
00
00
11
10
00
00
10
01
10
10
00
00
11
10
11
00
10
11
10
10
00
10
00
11
10
10
00
10
01
11
10
00
11
10
11
10
01
10
10
10
00
00
00
10
00
01
10
11
10
00
00
10
00
01
10
10
11
00
11
11
00
01
10
00
00
00
10
10
00
00
01
10
00
00
00
00
00
10
10
10
01
00
00
01
00
10
10
00
10
00
00
10
11
11
10
00
01
10
00
00
10
10
00
00
11
00
10
00
11
10
00
00
10
10
01
00
11
10
01
01
01
11
01
10
00
00
00
10
10
00
10
11
00
10
10
10
01
10
01
00
00
00
00
00
01
10
10
11
01
10
01
11
10
00
00
00
10
01
01
10
00
00
00
00
00
10
00
01
00
01
10
11
00
00
10
10
10
11
00
00
10
01
10
10
00
11
11
00
10
10
10
01
01
01
10
01
00
10
11
10
00
00
10
00
01
10
10
01
01
01
00
10
10
10
01
01
10
10
10
10
01
10
01
10
10
10
11
00
00
11
11
01
00
01
10
10
01
00
01
10
10
01
01
01
11
10
01
00
00
00
10
11
01
00
11
10
01
10
00
10
10
10
10
11
00
00
00
10
00
11
01
01
11
10
01
11
10
01
01
00
01
10
01
00
01
01
11
00
00
10
00
00
00
01
10
11
00
01
11
11
01
01
01
11
10
01
10
10
00
10
00
00
10
10
00
00
11
11
10
00
01
00
10
00
01
10
11
11
10
10
01
11
11
00
01
00
10
01
01
10
11
00
11
10
00
10
10
10
01
10
10
01
11
10
00
00
10
10
00
01
01
01
10
01
01
00
11
10
00
01
10
11
00
00
10
00
10
00
00
11
01
11
10
00
10
00
00
01
10
11
00
01
00
11
01
10
11
10
01
00
00
01
11
10
10
11
00
10
01
00
10
10
10
10
00
00
00
10
10
00
01
10
00
11
10
01
00
01
00
10
10
10
00
00
00
10
00
01
10
10
10
10
00
00
10
00
10
00
10
11
10
00
10
00
00
11
00
10
00
01
10
00
00
00
10
00
11
00
01
10
01
01
11
01
00
00
10
10
01
11
10
01
10
11
00
11
01
11
11
11
01
11
10
01
01
10
10
10
00
00
01
10
10
00
00
00
10
10
00
10
10
00
01
00
00
11
01
00
10
01
11
01
00
10
11
11
00
10
10
01
00
01
01
11
11
10
11
01
00
11
10
11
00
01
00
10
10
00
10
10
00
00
11
11
11
00
00
10
00
10
01
10
11
00
11
00
11
10
00
10
00
10
10
00
00
11
00
01
10
00
11
10
00
10
00
00
10
00
11
11
01
00
10
00
00
00
10
00
11
11
00
01
10
00
10
10
10
00
11
10
11
00
10
11
10
01
00
00
10
10
01
00
00
10
11
10
10
00
11
10
10
10
11
00
10
11
00
00
10
01
01
10
10
01
10
00
10
10
10
01
10
01
00
10
10
01
00
00
10
00
01
10
11
00
01
00
01
10
10
00
00
00
10
10
10
00
10
10
11
00
11
00
10
10
10
11
01
00
11
00
00
00
11
11
01
11
10
01
11
11
00
01
11
11
00
10
10
00
01
10
01
00
11
10
00
00
11
10
11
01
00
10
10
11
00
11
00
00
10
00
10
11
11
00
00
11
10
00
10
10
00
11
00
10
00
10
10
00
10
00
01
10
00
11
10
10
10
10
00
10
11
00
10
00
10
01
00
10
00
00
00
10
00
10
00
10
00
00
00
00
00
10
00
01
00
11
10
01
11
10
00
01
01
11
01
00
10
00
00
10
01
00
10
11
00
00
11
00
01
01
10
10
00
10
10
00
00
10
11
01
10
00
11
00
10
10
00
00
10
11
01
00
10
11
00
11
11
00
10
01
10
00
00
01
10
10
01
00
00
00
01
11
10
11
10
11
00
10
10
00
10
10
11
01
00
11
11
00
10
00
00
10
10
01
00
11
10
00
00
00
10
10
10
01
00
00
10
10
01
10
01
11
11
01
01
01
11
11
00
10
00
00
00
10
11
00
11
10
00
11
00
01
10
11
11
10
10
01
00
11
10
00
10
11
00
00
11
10
10
01
00
01
11
11
00
01
10
11
10
01
00
10
11
00
11
10
00
11
00
00
10
10
10
10
10
01
10
10
00
00
01
01
00
10
11
01
01
11
10
10
01
00
10
10
01
01
01
11
11
10
10
10
01
00
10
10
00
00
10
00
00
00
00
10
00
10
10
10
10
01
10
10
11
01
00
10
01
10
10
10
01
11
01
01
10
00
11
10
01
00
10
10
01
00
11
01
00
10
10
01
00
11
10
11
10
00
00
11
00
01
10
11
10
00
00
00
11
10
00
00
00
01
10
10
00
10
10
00
00
00
10
10
00
11
00
00
10
10
11
10
10
10
10
00
01
10
10
10
00
11
01
00
11
10
10
01
10
10
01
01
00
00
00
10
11
00
11
10
10
10
10
00
00
11
01
00
11
00
00
01
11
00
00
10
10
10
00
11
10
10
11
00
00
11
11
10
00
10
10
10
11
01
01
10
01
00
10
00
00
11
11
01
00
10
10
10
10
10
00
00
00
00
00
11
10
11
00
11
10
00
10
11
00
00
00
10
00
01
11
00
10
11
11
01
11
00
10
00
10
10
00
00
10
11
01
01
00
10
01
00
10
00
00
10
00
00
10
01
00
10
00
01
01
00
00
11
10
01
00
10
10
10
00
10
10
01
10
11
00
10
01
00
01
01
01
00
10
01
10
10
10
00
01
01
01
11
11
00
00
10
00
11
10
10
00
10
10
10
10
00
10
00
00
10
10
10
10
01
10
10
01
10
10
00
10
01
00
10
00
10
11
10
10
11
00
00
10
11
00
00
00
10
11
01
01
00
00
01
11
01
11
10
10
00
00
10
10
01
00
11
11
00
00
11
10
00
10
11
00
01
10
10
10
10
00
11
11
00
11
00
00
00
00
01
11
10
01
00
10
00
11
00
00
10
10
00
00
10
01
00
10
01
01
00
10
10
10
10
10
01
01
01
10
00
00
10
00
00
00
00
10
10
00
01
00
00
10
00
00
01
00
11
00
00
11
00
00
01
10
10
01
11
11
11
11
11
01
10
10
00
00
10
00
00
10
10
00
01
11
10
00
10
11
11
11
00
11
11
01
01
00
11
10
00
00
01
10
00
00
11
10
00
00
10
10
10
01
10
10
00
01
01
00
01
11
10
00
00
10
00
11
11
00
11
10
11
00
01
01
11
01
00
11
10
01
00
00
10
10
10
00
00
10
01
00
00
01
10
10
10
10
01
11
10
01
10
10
00
10
10
10
10
11
00
11
10
00
01
11
11
10
01
10
10
10
10
01
00
11
10
00
01
00
11
00
00
10
01
00
01
10
00
00
10
10
10
10
00
10
10
10
10
10
01
00
11
10
10
10
10
11
00
00
10
10
00
01
01
10
10
01
01
00
11
10
10
11
10
00
00
00
00
00
10
10
10
00
00
10
11
10
10
00
11
01
11
00
10
00
01
10
01
11
00
00
00
10
11
10
01
00
00
10
11
10
10
01
01
10
10
10
00
10
01
00
01
10
10
11
01
00
10
10
01
00
01
10
00
10
10
10
10
01
00
01
10
00
00
00
10
00
01
11
11
00
11
11
01
10
10
11
11
00
00
00
10
10
10
00
00
10
00
00
01
01
01
10
10
10
10
01
11
00
00
00
10
00
01
10
11
00
01
10
00
00
10
00
10
11
00
00
00
00
11
10
01
01
11
10
00
00
00
11
01
10
10
00
10
00
10
00
01
11
01
00
11
00
10
00
01
10
10
11
00
00
11
11
01
00
11
00
10
10
00
00
10
00
00
10
10
11
10
00
10
10
10
01
10
10
10
11
10
11
00
10
10
10
10
01
01
11
01
00
10
01
01
01
10
10
10
10
10
00
00
11
10
01
01
10
00
10
00
10
10
01
00
10
00
10
00
00
01
00
01
00
00
00
10
00
00
11
10
10
10
00
10
11
00
00
00
00
10
00
00
10
00
10
00
10
10
11
00
00
00
00
00
10
10
01
10
10
10
01
00
00
11
10
10
00
01
01
00
00
10
10
11
00
00
11
01
01
00
01
11
01
00
10
10
01
01
00
01
10
10
00
01
11
00
00
10
10
11
10
00
01
10
00
10
00
00
01
00
01
10
10
10
10
00
01
00
11
10
10
00
10
11
11
01
01
10
10
01
10
00
00
10
11
10
00
10
01
00
10
11
01
10
11
01
00
10
10
10
10
10
00
10
10
10
00
00
00
01
01
00
00
00
00
00
00
01
01
10
01
01
00
10
10
10
10
00
00
00
01
10
10
00
11
00
01
10
00
11
10
00
11
10
10
10
00
01
01
00
11
10
10
01
11
00
11
11
00
11
11
10
00
00
10
01
00
10
10
10
00
10
10
01
00
01
00
01
11
11
00
00
00
11
11
00
00
11
00
00
01
00
11
11
00
00
10
10
00
01
00
10
00
10
00
10
10
00
10
00
11
00
00
10
01
01
10
00
10
10
00
10
00
01
11
11
01
11
00
00
11
11
00
00
11
10
01
00
00
10
00
01
01
00
10
01
10
01
00
10
00
00
10
11
11
00
01
01
01
10
10
00
10
00
10
11
01
11
11
00
00
10
00
11
10
01
01
10
01
00
00
10
00
00
10
01
00
10
10
01
00
10
00
10
11
10
00
11
10
00
00
11
00
01
10
10
10
01
10
10
10
00
01
01
00
00
10
00
11
11
10
11
10
10
10
00
10
10
10
00
00
10
00
01
11
10
11
01
10
10
00
11
11
00
01
00
00
00
10
10
11
11
00
00
10
11
10
01
10
10
00
10
01
11
10
11
10
00
10
01
00
00
00
11
00
01
10
10
10
00
01
00
11
10
11
01
10
11
10
11
01
01
00
10
00
01
11
10
01
00
10
10
10
10
00
00
10
10
01
00
10
00
10
01
10
10
01
00
10
11
00
00
01
11
10
01
10
10
00
10
10
00
11
11
00
00
10
10
10
00
00
10
01
00
10
00
00
10
00
11
10
11
00
11
11
00
01
10
10
00
10
10
01
10
11
00
00
00
01
00
10
10
00
10
11
10
00
11
11
10
00
01
10
01
11
10
10
00
00
01
00
10
00
01
00
11
00
11
00
10
00
00
00
10
00
10
10
11
00
01
11
10
11
10
10
01
00
01
00
00
10
11
00
10
00
10
00
00
11
00
01
10
10
00
10
11
00
01
10
10
11
10
11
10
10
00
00
00
10
00
01
01
00
10
00
10
10
01
01
00
10
10
00
10
10
10
10
11
11
00
10
10
11
00
10
11
00
00
10
00
01
10
11
10
10
10
00
00
10
00
11
10
00
01
10
10
00
00
10
10
01
00
00
10
00
11
10
10
10
01
11
01
10
11
10
10
11
11
10
00
10
10
01
11
10
00
01
10
00
00
00
10
00
11
10
01
00
01
10
10
01
10
00
01
11
10
10
01
00
00
11
10
10
10
00
00
10
01
10
11
00
10
10
11
01
11
10
00
00
00
01
00
01
10
00
10
10
10
10
00
01
11
10
10
10
01
10
10
11
01
01
10
10
00
00
00
11
11
00
10
10
10
11
00
01
00
10
10
00
11
10
10
01
00
11
00
00
00
00
10
01
10
10
10
10
01
11
01
00
00
11
00
11
10
10
00
10
00
11
10
01
01
00
10
10
10
11
00
01
11
11
00
01
10
01
11
11
01
00
10
10
00
10
00
00
00
00
00
00
10
10
10
00
00
11
10
00
10
10
10
10
00
10
00
00
00
10
00
10
01
11
10
00
01
00
11
00
00
10
00
00
00
10
10
10
00
11
10
00
00
11
10
10
00
00
00
10
10
11
00
10
01
11
00
10
10
01
01
10
11
11
10
00
01
01
10
10
00
00
00
10
00
00
10
00
00
11
10
11
01
00
10
00
10
10
10
01
00
11
10
01
10
10
00
00
11
10
10
00
01
11
00
00
10
10
00
10
01
00
01
10
11
00
00
00
11
00
00
00
10
10
10
00
00
10
10
00
01
11
00
00
11
00
10
11
01
10
11
00
10
10
01
11
10
10
01
11
01
00
10
00
00
01
10
11
00
10
10
11
10
00
10
10
00
10
10
01
00
00
00
10
01
01
00
10
11
10
01
01
10
10
00
10
11
00
00
00
11
00
10
10
00
10
00
01
00
00
10
01
10
10
01
11
01
01
11
00
01
10
10
00
00
11
10
01
00
11
01
10
11
00
11
10
10
01
00
11
10
10
00
11
00
00
00
10
10
01
10
10
11
10
10
11
10
00
01
00
00
10
00
11
00
01
10
00
10
11
00
01
00
00
00
10
11
00
00
10
00
11
00
10
10
00
10
11
00
01
11
10
00
11
10
00
01
00
01
01
10
11
00
10
11
10
00
00
00
10
10
01
10
00
10
00
11
10
01
00
10
00
01
10
01
11
10
00
11
00
00
10
10
11
01
11
01
11
10
01
10
00
10
10
00
00
00
11
01
01
10
10
00
01
01
10
10
00
00
11
01
10
10
01
10
11
10
00
00
00
11
10
00
00
10
10
00
00
10
11
00
10
11
10
10
00
01
10
10
00
00
00
00
01
11
00
10
00
01
00
10
00
00
10
10
11
11
10
01
10
00
00
11
11
10
00
00
00
10
10
00
10
01
01
00
10
00
10
00
00
10
00
10
10
00
10
11
00
01
00
00
11
00
10
00
00
10
10
00
01
10
00
00
00
00
10
10
01
00
11
00
10
10
11
10
00
10
11
11
00
00
10
10
00
10
00
11
10
00
10
10
10
10
00
01
00
00
01
10
10
10
10
11
10
00
00
10
10
00
00
10
01
10
10
01
00
01
10
00
00
00
11
00
01
10
10
01
00
01
10
10
00
01
11
11
00
00
00
01
11
01
10
10
00
00
10
01
00
10
10
11
10
10
10
00
00
10
00
00
10
01
10
10
11
11
11
01
00
10
00
00
00
01
01
11
10
10
01
10
00
10
11
10
00
00
10
00
00
01
10
10
01
00
00
10
11
10
10
00
00
01
10
11
00
00
11
10
10
00
11
10
11
01
00
01
10
00
01
01
11
11
10
00
01
11
00
10
01
00
10
00
10
00
00
10
00
10
11
10
10
11
10
01
11
10
10
00
11
01
00
10
00
11
00
00
10
11
10
00
01
10
00
01
10
00
11
01
10
00
11
10
00
10
00
10
11
01
01
10
00
00
10
00
10
00
11
10
00
00
11
11
10
11
00
10
00
10
00
10
11
00
01
10
01
10
00
01
10
00
01
11
10
11
11
10
00
00
10
00
00
10
00
00
01
10
11
10
11
10
01
00
10
10
01
00
10
00
00
11
01
10
10
00
00
11
00
00
00
11
10
11
10
11
11
10
01
00
00
01
10
11
11
01
01
11
11
10
00
01
10
11
01
00
11
10
00
00
10
11
00
00
10
11
10
10
11
10
10
00
00
01
10
00
10
00
01
00
00
10
00
01
01
11
00
10
00
10
11
00
11
10
00
01
00
10
00
01
10
01
00
10
00
00
10
00
10
10
00
10
00
11
10
10
10
10
11
10
01
00
00
10
10
10
00
00
11
11
01
01
00
00
10
01
00
10
10
01
11
00
01
11
01
00
11
11
10
01
00
00
10
10
00
01
10
11
01
10
00
10
00
10
00
10
00
10
00
01
10
11
10
10
00
10
10
00
01
00
11
10
00
00
10
00
00
10
11
11
01
10
00
00
10
10
01
10
10
00
01
00
10
01
00
10
10
00
00
10
11
01
01
11
11
00
10
10
01
10
00
00
10
00
01
00
10
00
00
00
01
00
01
10
11
10
00
00
10
00
01
11
00
11
00
10
00
00
10
00
01
11
00
01
10
00
10
00
00
00
01
10
01
00
10
10
10
01
10
00
00
10
10
10
11
10
10
00
00
10
11
10
10
00
00
00
00
10
01
00
10
10
10
01
01
01
11
11
10
11
00
01
10
11
00
01
00
11
10
00
10
10
10
10
00
11
00
00
10
01
10
10
00
00
11
11
00
01
00
01
10
00
11
00
00
10
10
11
10
00
01
10
10
00
01
00
01
01
11
01
00
11
11
00
00
10
11
00
01
10
01
00
11
00
01
11
11
00
00
00
00
00
10
11
00
01
11
00
10
10
11
00
01
00
11
10
01
00
10
11
01
00
11
10
00
00
10
10
00
00
10
10
01
00
10
01
10
10
10
00
00
00
10
11
01
10
10
00
11
01
00
10
10
10
01
00
00
11
00
10
00
10
10
10
00
11
10
00
01
11
00
01
01
11
01
00
11
00
00
10
01
01
00
10
00
11
11
00
10
11
11
00
10
01
10
01
01
10
10
01
00
10
01
01
10
10
01
11
01
01
01
00
10
10
01
10
10
00
00
00
10
01
01
10
10
00
00
11
10
00
00
01
00
01
00
10
11
10
01
00
10
01
10
00
00
00
10
00
00
10
11
10
10
01
10
10
01
00
10
10
00
10
11
10
00
00
00
10
10
00
11
10
01
00
10
00
11
01
11
01
00
01
00
10
00
00
10
01
00
10
10
01
00
00
10
01
10
11
00
00
10
10
00
10
10
11
11
00
01
11
01
10
10
11
01
00
10
10
10
00
01
11
00
00
11
10
01
00
10
10
01
11
10
11
00
00
00
10
10
10
00
01
01
00
10
11
00
10
10
00
01
00
10
00
11
10
00
10
00
10
01
00
11
00
00
01
10
01
10
11
00
10
10
10
00
11
11
01
01
00
10
10
11
00
10
10
00
01
00
00
11
00
01
11
11
10
01
00
00
00
10
00
01
00
10
00
00
10
11
10
10
00
10
00
11
01
01
01
10
10
11
00
11
11
10
11
00
00
01
10
10
00
10
10
10
00
10
10
10
00
10
00
00
10
10
01
01
00
11
10
00
00
10
00
00
10
10
10
10
10
10
00
10
10
01
10
11
00
00
00
11
11
00
10
00
01
10
11
11
00
00
11
11
10
00
00
10
10
11
11
00
01
00
11
00
11
00
10
10
01
11
10
11
10
00
00
11
01
00
00
11
00
01
10
11
00
11
10
11
00
01
10
11
11
01
01
10
00
01
00
01
00
10
10
11
10
00
10
10
11
10
10
11
10
00
00
10
00
10
10
00
00
11
00
00
00
10
10
00
10
10
00
10
11
00
11
10
11
00
10
00
11
01
00
00
10
10
11
10
01
01
10
11
00
01
11
10
11
00
00
00
11
11
10
10
00
00
10
00
10
11
01
01
00
00
10
11
10
00
11
01
11
00
01
11
11
01
11
00
10
11
00
00
11
11
00
00
01
10
10
00
11
00
00
11
00
10
00
00
00
00
10
10
11
00
10
00
00
10
00
10
01
00
00
10
01
11
11
01
01
10
10
10
10
10
01
10
10
11
00
01
00
00
10
01
00
10
10
00
10
10
11
00
10
10
00
00
11
01
00
10
10
01
01
10
10
00
01
01
11
11
01
10
10
00
10
11
01
00
10
00
10
10
11
00
00
00
11
00
10
11
00
01
11
11
00
00
10
10
10
01
00
10
01
00
10
10
10
10
10
11
00
00
10
01
10
01
01
10
00
00
01
01
10
10
00
10
01
00
10
00
11
10
10
00
10
10
00
10
00
00
00
00
01
00
11
11
00
10
00
01
10
11
00
00
01
01
11
00
00
10
10
10
00
10
10
00
10
00
01
00
00
01
10
11
11
11
10
00
10
00
01
10
10
00
00
01
01
01
11
00
00
10
10
00
10
10
00
10
10
10
10
01
00
10
10
10
11
10
10
00
10
00
01
11
01
10
01
00
00
00
11
10
10
11
00
10
10
11
10
10
10
10
00
00
10
00
01
00
00
00
01
10
10
10
01
00
10
10
11
00
10
10
10
11
01
01
00
00
01
11
10
10
10
11
10
01
01
10
10
10
00
01
10
10
01
01
10
00
00
11
00
10
11
01
11
00
11
10
01
00
00
10
10
10
01
00
10
00
11
11
01
10
10
10
00
00
11
01
00
01
01
10
10
10
01
10
11
10
01
10
10
00
01
11
00
10
10
00
01
01
01
00
00
10
00
10
11
10
00
10
10
00
10
01
01
01
11
01
11
11
00
10
00
00
10
10
00
00
00
11
10
00
00
00
00
11
10
11
11
11
00
00
00
00
11
10
10
00
00
11
10
10
00
10
00
00
01
10
10
01
11
11
11
00
00
10
00
10
00
10
00
01
10
01
10
00
10
00
01
01
10
10
01
01
11
11
10
00
00
10
10
10
00
00
00
00
11
11
11
00
00
11
11
01
10
01
00
11
01
00
10
11
11
00
00
00
10
10
00
10
10
00
01
10
11
00
01
11
00
00
10
00
01
01
10
00
10
10
00
10
01
11
00
01
10
00
00
11
00
01
10
10
01
10
11
00
10
10
00
10
10
00
00
01
10
01
11
10
00
00
10
01
00
10
11
00
00
10
01
00
11
10
11
10
10
00
11
00
11
00
00
10
00
11
11
00
00
01
11
00
11
11
00
01
01
01
01
11
10
10
11
00
00
01
10
10
00
01
00
11
10
00
10
11
11
00
10
11
00
10
00
10
10
00
00
00
01
00
00
10
10
10
10
10
10
00
11
00
00
00
00
11
10
10
00
10
10
10
11
00
10
11
01
00
01
11
10
11
00
10
00
10
11
10
00
00
01
10
10
01
00
00
00
10
11
11
01
01
01
00
10
10
00
10
00
00
10
10
00
01
10
11
00
00
11
10
01
00
11
10
00
00
10
00
01
00
10
00
00
01
01
11
00
00
11
00
00
10
10
10
10
00
00
00
01
10
00
01
10
11
00
00
11
00
11
10
00
00
10
10
01
00
00
10
11
01
11
01
01
00
10
11
00
01
11
10
01
01
11
10
00
00
00
00
10
11
01
00
10
01
01
11
01
00
10
11
10
01
00
10
11
00
11
11
00
00
11
10
00
00
11
10
10
10
10
11
01
10
01
00
10
10
00
00
00
10
11
11
00
01
00
10
10
00
00
00
00
11
10
01
11
10
00
10
01
00
00
10
10
10
00
10
00
10
10
11
00
01
10
00
00
10
10
11
10
00
11
01
10
01
10
01
10
00
00
10
00
00
10
10
00
00
00
00
00
00
10
00
00
00
10
10
10
11
01
01
00
00
00
00
11
11
10
00
00
10
01
00
01
11
10
10
00
11
11
10
01
00
00
10
00
01
00
11
10
00
01
10
01
10
10
00
00
00
10
10
10
10
11
00
11
01
00
01
10
00
00
10
11
11
01
00
10
00
10
10
00
01
10
00
00
00
10
11
00
00
10
11
00
10
11
11
10
00
11
00
01
10
01
00
11
11
01
01
11
00
10
11
00
01
00
11
10
01
01
11
10
10
00
00
00
01
01
11
10
00
10
10
10
11
00
01
00
10
00
00
11
00
00
11
11
00
00
01
00
10
10
11
11
11
11
01
01
00
10
10
10
00
00
11
10
00
00
00
00
10
10
00
10
11
01
10
10
11
11
00
10
00
10
10
00
11
00
00
11
11
10
00
00
00
10
10
00
10
01
00
11
11
10
10
10
00
10
01
00
10
01
11
01
10
00
00
10
11
00
11
10
00
10
00
00
11
10
00
11
10
00
00
00
01
00
10
10
01
10
11
10
10
00
00
01
10
01
00
10
10
10
10
00
00
10
11
00
11
10
10
00
01
10
10
01
10
10
01
00
11
01
00
10
10
00
01
00
11
10
00
00
00
10
10
00
01
10
10
01
10
00
10
01
10
10
11
00
11
01
00
10
10
00
11
11
11
00
11
10
10
11
10
00
00
10
10
00
10
00
01
00
10
10
10
10
01
10
01
10
10
10
11
01
00
01
10
00
10
00
11
10
00
00
11
00
01
10
11
01
00
10
00
00
11
00
00
10
10
00
10
00
01
00
10
11
00
10
10
00
00
10
10
00
11
10
10
00
00
10
00
00
10
11
00
01
10
10
00
10
01
10
11
01
10
00
00
10
11
10
10
11
00
01
00
00
01
11
01
00
11
10
11
10
00
00
10
00
00
10
10
11
10
10
01
00
00
00
11
00
11
10
10
11
11
11
00
01
11
10
11
10
11
01
00
00
00
10
10
10
00
00
00
10
00
00
10
10
00
10
11
10
00
10
00
01
00
01
00
11
10
10
00
00
01
00
10
11
00
01
11
00
10
01
11
11
11
01
00
01
10
11
11
10
00
00
01
10
11
00
10
10
00
11
10
01
10
01
10
00
01
10
01
00
00
10
00
01
10
00
01
00
10
01
00
10
10
00
10
11
10
01
10
01
00
00
11
00
00
11
11
01
00
01
11
01
01
10
00
00
01
10
00
00
00
10
10
00
01
10
10
10
11
00
01
10
11
01
11
10
01
11
10
00
00
10
10
00
01
00
11
00
01
10
11
00
00
10
00
10
10
00
10
10
00
10
10
00
00
11
11
11
01
10
10
10
00
10
10
00
01
10
10
01
11
00
11
01
01
00
00
00
10
10
00
10
01
01
01
01
10
00
00
00
00
00
00
10
01
00
00
10
01
00
11
01
11
01
00
11
10
00
00
00
10
10
01
00
10
00
00
11
11
00
00
00
10
10
00
00
11
11
01
01
00
00
00
11
00
10
00
01
01
01
11
01
11
00
11
10
11
11
00
00
00
10
10
01
00
10
10
01
01
10
01
01
01
00
01
10
10
01
00
00
10
00
00
01
00
10
11
00
11
10
11
10
10
00
01
11
11
10
11
00
00
00
11
10
01
10
10
10
00
00
11
00
01
11
11
11
01
00
00
10
10
00
00
10
11
01
11
00
10
01
10
11
00
10
01
10
01
00
00
10
10
01
00
11
11
10
00
10
10
00
00
10
11
00
10
00
10
00
00
00
00
00
10
00
00
11
01
10
01
11
00
11
10
10
00
01
01
01
10
00
01
01
10
10
10
01
01
11
00
11
00
00
10
00
11
10
01
01
10
00
10
01
10
11
01
10
10
00
01
11
11
01
00
10
10
00
10
10
00
11
11
01
00
01
00
10
00
01
11
11
00
00
01
01
01
10
10
01
00
11
00
10
10
10
11
00
10
11
01
00
10
10
01
00
10
10
00
00
10
00
00
10
00
10
10
10
10
10
10
01
11
00
11
00
11
11
10
11
00
01
10
11
01
10
00
00
11
10
11
10
11
01
00
00
10
00
01
10
11
01
00
10
00
11
01
10
00
10
00
00
01
10
10
01
00
00
10
10
00
11
10
00
10
00
11
10
00
00
10
00
10
11
11
10
00
10
11
00
01
00
00
10
00
10
11
00
10
10
10
10
10
01
10
11
11
00
00
01
01
00
11
11
10
01
10
00
01
10
01
00
01
10
10
00
00
10
00
00
10
01
11
11
10
10
00
01
00
00
10
10
10
10
11
00
01
10
10
00
01
00
00
10
11
01
10
11
01
11
00
10
01
10
11
00
10
10
10
01
10
01
00
00
00
00
00
11
10
11
01
10
10
10
00
11
10
00
10
11
00
11
11
00
10
00
11
00
00
10
10
10
00
10
00
11
11
00
11
11
10
11
01
00
01
01
10
11
11
01
10
10
01
00
01
10
11
01
10
10
01
10
10
01
00
11
11
10
01
01
01
00
00
10
11
10
11
01
01
00
10
11
01
10
10
11
00
00
10
10
00
00
10
00
01
00
10
10
01
01
11
10
10
00
10
10
10
00
00
10
11
10
10
00
11
00
00
10
00
00
11
00
01
00
10
11
01
00
11
10
00
10
00
01
10
00
00
00
10
00
00
10
10
11
10
00
01
00
00
10
11
10
00
10
10
01
01
10
10
01
10
10
10
10
00
10
00
00
00
11
11
00
10
10
10
10
00
01
00
10
00
11
10
00
00
10
11
10
11
00
10
01
00
00
00
10
10
00
00
10
00
10
00
00
11
00
11
00
11
10
10
10
10
10
10
10
01
10
10
11
00
01
00
01
10
00
10
01
11
10
10
10
10
00
01
10
01
00
00
00
10
10
01
00
10
01
00
00
10
10
10
00
10
11
00
10
10
11
00
01
01
11
10
01
00
11
11
10
00
00
10
11
10
00
11
11
01
10
00
01
10
10
10
00
00
10
00
01
11
00
00
10
01
00
10
00
10
00
00
10
00
01
11
11
11
10
10
10
10
00
00
10
10
00
10
00
01
00
00
10
11
00
10
10
00
00
11
00
11
10
11
10
00
00
11
11
00
11
01
00
01
01
00
10
10
01
11
00
00
10
01
10
10
10
00
01
00
10
10
00
00
10
10
00
11
10
01
01
00
11
00
11
10
11
00
00
00
11
10
01
00
00
00
10
00
01
01
11
10
01
10
10
01
01
00
10
10
00
10
10
00
11
10
11
00
01
10
11
10
00
00
10
00
00
11
10
00
10
10
11
10
01
11
11
11
00
10
00
10
00
00
10
01
00
11
10
10
10
11
10
00
00
10
10
10
00
11
10
00
01
00
01
11
10
00
01
00
00
00
00
11
00
00
11
00
11
10
00
01
10
10
10
00
10
00
01
00
00
10
10
01
10
00
10
00
01
10
00
10
01
01
11
11
01
00
11
10
11
01
00
00
00
10
01
00
10
10
00
11
10
11
11
00
01
10
10
00
00
01
00
10
11
00
11
11
10
11
10
00
01
00
00
00
01
11
10
01
11
10
01
10
11
10
11
00
11
10
01
00
10
10
01
01
10
01
01
10
10
10
00
00
10
10
00
00
10
10
00
00
00
10
11
10
00
10
00
11
01
00
11
00
10
10
10
01
00
10
10
10
00
10
00
00
01
11
10
10
00
11
11
01
01
00
00
00
10
10
11
00
00
00
11
01
11
11
10
10
11
00
01
11
10
10
01
11
01
10
10
01
11
01
10
00
00
11
00
00
11
10
00
10
00
01
00
10
11
10
00
00
11
11
10
11
10
00
10
10
00
01
10
11
00
11
01
11
10
00
10
10
10
10
00
11
10
01
10
11
10
10
00
00
10
11
00
10
10
01
01
11
10
01
00
01
11
10
00
00
10
00
10
10
00
10
00
01
11
00
11
11
01
00
11
10
00
10
10
00
00
10
10
10
00
00
10
10
00
00
11
11
11
10
01
00
00
10
00
00
10
10
00
11
11
00
11
10
01
00
00
10
01
00
10
00
10
10
00
11
10
00
00
01
10
00
01
11
00
10
10
10
10
01
10
01
10
10
00
10
10
01
11
10
00
10
11
00
10
00
00
10
01
10
11
01
00
00
10
10
10
11
01
00
00
11
01
00
00
10
10
00
10
10
10
01
01
11
11
10
00
00
11
01
10
10
00
01
00
01
10
10
10
11
00
10
00
00
10
11
10
00
01
10
11
00
11
11
01
10
10
00
01
10
10
00
01
10
10
10
00
10
00
00
10
10
10
11
00
00
00
00
11
10
10
00
00
10
01
01
10
11
00
00
00
00
10
00
10
01
10
10
10
00
01
10
01
10
00
00
11
00
00
00
00
01
11
01
01
10
11
11
01
00
11
10
11
00
00
11
10
00
10
01
00
10
11
01
00
00
11
10
01
10
00
01
10
01
10
10
00
11
00
00
01
10
10
10
10
10
10
00
10
10
01
10
11
11
10
11
10
00
01
10
10
01
00
10
10
00
00
01
00
11
00
00
00
00
10
10
11
00
10
10
01
11
00
01
00
10
10
00
11
11
11
00
11
10
11
00
01
10
10
10
01
00
11
01
00
10
10
11
01
10
10
10
00
00
10
00
01
00
00
10
00
00
10
11
10
10
00
10
10
10
01
10
00
01
11
00
00
10
10
01
11
01
00
10
11
10
10
00
11
11
01
00
00
01
10
10
00
00
00
10
00
10
01
00
00
10
10
10
11
10
01
10
10
01
10
01
10
10
00
10
10
01
11
10
10
00
00
00
01
10
00
01
01
01
00
10
11
01
01
00
00
10
00
10
10
10
00
10
10
00
10
11
00
00
10
11
10
00
01
00
11
10
10
11
00
00
01
00
00
11
00
01
00
10
10
10
00
01
00
10
10
10
00
10
11
00
00
00
10
11
01
11
01
10
10
01
11
00
00
10
11
10
01
11
00
10
11
10
10
00
00
01
00
10
10
11
00
11
01
10
00
10
10
00
10
11
10
00
00
10
00
00
10
01
00
11
10
01
11
11
00
01
11
01
11
11
01
00
01
10
01
00
10
11
00
00
11
10
11
10
10
01
00
00
11
10
00
10
00
01
10
11
00
00
00
10
01
10
10
11
10
00
00
00
10
01
10
01
10
10
10
10
00
10
10
00
11
00
11
10
01
10
00
00
01
00
10
11
01
10
01
00
01
00
01
00
10
00
01
01
11
00
10
11
00
11
01
01
11
00
00
00
00
10
10
10
00
10
10
00
00
00
10
00
01
10
10
10
10
00
00
01
11
11
01
00
00
10
00
01
00
10
10
00
00
00
00
10
11
00
00
11
11
00
00
11
10
01
00
10
01
01
11
00
10
10
10
00
00
11
10
00
00
10
11
00
00
11
10
10
00
11
10
10
10
00
01
10
10
00
10
10
01
00
10
10
11
00
10
01
01
00
01
01
01
01
00
11
00
00
11
10
10
00
10
00
10
11
10
10
10
00
00
00
00
10
00
10
10
00
10
11
10
10
10
11
00
01
10
11
00
10
00
11
01
00
00
10
11
00
01
10
10
01
00
00
11
00
10
11
11
01
00
01
00
00
11
00
00
10
10
01
10
10
01
00
10
10
11
11
01
11
10
01
10
10
10
01
00
11
00
01
00
11
11
01
11
00
11
10
00
10
10
01
00
00
11
11
01
10
11
11
00
01
00
10
10
00
00
10
01
10
00
01
11
00
10
00
00
10
10
11
00
10
00
10
01
10
00
11
01
01
10
01
00
10
00
01
11
10
10
11
10
00
01
00
10
00
01
00
00
10
00
00
00
10
01
01
11
11
01
00
01
00
10
10
00
00
10
10
00
01
11
11
00
11
10
11
01
00
11
11
10
01
10
10
00
10
00
00
11
10
01
11
10
10
00
11
01
00
10
10
00
10
10
00
01
10
10
11
11
10
00
01
00
01
10
10
01
00
00
00
01
10
10
10
11
10
00
00
11
11
10
11
01
01
10
00
00
11
11
01
10
10
11
00
00
11
10
00
00
11
11
10
01
00
00
00
10
10
10
10
11
00
10
01
10
00
10
10
10
10
00
01
00
10
01
00
10
10
01
00
01
11
01
01
11
00
11
11
00
01
10
11
00
01
10
10
00
01
00
00
10
10
11
11
11
11
01
11
01
00
00
10
00
00
10
00
00
00
10
10
10
10
00
01
00
10
10
11
00
01
01
11
10
10
11
11
00
01
10
10
10
00
00
10
00
10
10
00
01
11
10
01
10
00
00
11
00
10
01
10
11
10
10
00
00
00
00
11
10
01
10
10
00
01
10
10
01
00
00
10
10
10
10
10
01
00
11
00
00
10
10
11
11
01
01
11
00
10
11
00
10
10
00
00
00
11
10
00
10
01
10
00
11
10
11
00
11
10
00
00
01
10
10
10
00
00
11
10
00
00
11
00
00
11
10
01
00
11
00
00
11
10
00
11
10
00
11
10
00
00
10
11
00
00
01
01
00
01
00
10
01
01
10
11
01
01
01
10
10
10
01
11
00
10
10
10
00
11
10
00
10
10
00
00
10
00
00
00
00
10
11
10
01
10
00
01
11
00
10
11
01
11
10
00
00
11
10
00
10
10
01
01
01
10
00
01
10
11
10
00
00
10
11
10
10
11
00
10
10
11
01
11
11
01
11
10
00
10
00
10
00
01
10
10
00
10
10
01
00
10
00
00
10
00
11
01
11
01
11
01
10
00
10
00
10
10
00
00
00
10
00
01
00
11
10
11
01
00
00
11
00
00
00
10
01
00
10
10
11
00
11
10
00
11
01
00
10
10
00
10
11
00
01
00
10
10
10
11
10
10
01
11
10
01
11
10
00
01
10
10
11
01
10
01
10
10
00
10
00
01
00
10
10
00
00
00
01
00
11
11
10
00
11
00
00
00
10
00
00
10
11
00
00
00
01
00
11
00
00
01
11
01
10
11
00
11
10
10
10
01
10
10
00
00
00
10
01
00
01
01
00
00
00
10
11
10
10
01
10
00
00
10
10
00
00
00
10
11
00
01
00
10
01
11
11
01
10
10
11
11
11
00
00
11
00
01
10
01
10
10
00
11
11
00
00
00
01
00
01
10
11
00
00
10
00
01
00
11
00
00
10
11
01
00
01
11
10
00
00
10
10
10
00
01
00
01
11
00
10
11
10
10
11
00
01
10
10
01
10
00
10
10
01
00
00
01
01
11
10
00
00
10
11
10
11
01
01
10
10
10
11
10
01
10
11
11
01
11
00
10
10
10
00
00
11
10
11
00
01
01
10
11
01
10
10
10
00
00
10
10
00
11
10
10
01
00
10
10
00
01
10
10
01
10
00
10
11
00
01
01
11
10
10
11
00
10
10
10
00
01
10
10
00
10
10
00
00
10
00
01
00
00
11
00
00
00
00
10
10
00
10
01
01
00
10
00
11
00
00
11
10
10
01
01
01
10
11
01
00
11
11
00
01
01
10
10
00
10
10
00
00
00
10
00
01
10
10
11
11
00
00
01
10
10
00
00
10
10
10
01
00
10
00
01
00
11
00
10
11
10
11
00
01
00
00
10
00
01
00
00
10
10
10
10
11
11
01
10
11
10
01
01
11
00
01
01
00
10
00
01
00
01
10
11
01
00
10
10
00
00
00
01
11
11
11
10
10
11
00
00
01
10
10
11
11
00
00
10
11
11
10
01
00
10
11
10
00
11
10
00
10
00
11
10
10
10
00
00
00
01
11
10
00
10
11
00
00
10
10
00
11
10
01
00
00
10
10
10
00
00
10
00
10
01
01
10
10
10
10
00
10
11
00
00
01
10
00
00
10
10
00
10
00
00
00
10
00
00
10
01
11
01
11
11
01
11
01
10
01
00
10
11
01
01
10
11
00
00
10
11
00
11
10
01
00
10
00
10
10
01
00
10
10
01
00
10
00
00
00
00
00
11
11
00
01
10
10
11
10
00
00
00
00
00
11
10
00
11
10
01
00
00
11
01
00
10
10
00
10
10
01
10
10
10
00
10
00
10
00
00
00
11
10
11
10
11
01
11
01
00
10
00
10
10
00
01
10
11
10
01
11
10
10
10
11
10
10
00
01
00
00
10
00
00
10
10
10
11
10
01
00
11
10
00
01
11
10
01
11
00
11
11
01
01
00
11
10
11
10
00
00
00
00
10
00
10
11
01
00
01
01
11
00
00
00
00
00
10
10
10
10
10
11
01
10
10
01
00
10
01
00
10
11
01
01
11
00
11
10
00
10
10
00
10
01
00
11
11
01
01
10
10
00
10
10
00
00
10
00
00
10
01
00
10
10
10
11
01
10
10
10
00
00
11
01
01
11
11
00
00
10
10
00
10
11
10
10
10
00
01
11
10
11
00
00
01
01
01
10
01
00
11
10
00
11
10
11
10
00
01
01
10
00
11
11
00
01
11
01
11
10
10
10
00
10
10
01
01
10
10
11
10
11
10
00
10
11
10
01
00
11
10
00
11
01
01
11
01
01
10
11
01
10
10
00
00
10
00
01
10
10
10
00
01
10
10
01
10
01
01
01
10
10
11
00
00
10
00
00
11
10
00
11
00
10
00
00
10
10
01
00
11
01
00
00
00
01
00
00
00
00
10
10
11
10
11
00
00
11
00
10
11
11
00
11
01
10
10
10
10
00
00
01
11
01
01
10
11
10
11
10
01
01
00
00
11
10
10
01
00
01
11
00
00
10
10
10
10
00
00
00
01
10
00
10
00
10
01
00
11
01
11
00
00
10
10
10
00
00
01
10
10
10
00
01
10
01
00
11
00
10
10
10
00
01
00
10
01
00
00
01
01
00
00
10
11
01
00
01
00
10
00
10
10
01
00
11
10
11
11
10
00
00
11
10
00
01
00
10
10
11
10
00
00
10
00
00
00
00
10
01
00
11
10
00
00
10
00
01
10
10
00
00
00
00
00
00
11
10
10
00
10
01
00
11
10
00
01
01
01
10
01
00
10
10
11
10
10
10
10
00
10
10
01
10
11
00
00
10
10
00
00
00
01
00
01
11
10
01
11
11
10
11
00
00
00
11
00
00
10
00
11
11
00
10
00
00
00
00
00
10
00
01
11
10
01
00
00
10
00
00
10
10
01
11
11
01
01
10
00
00
01
00
10
00
10
10
00
01
10
10
10
11
01
10
10
01
01
00
10
10
01
10
11
00
00
10
00
11
11
11
01
10
10
10
00
00
10
10
00
00
00
00
00
00
10
10
00
00
00
11
00
10
10
11
11
10
10
11
10
00
00
00
10
10
11
01
01
01
10
10
10
01
11
00
00
11
10
11
11
01
10
10
00
00
10
10
00
00
10
10
10
01
10
10
10
01
01
00
00
00
10
00
10
11
10
01
00
00
10
00
11
10
01
01
10
10
01
10
00
10
10
11
10
10
00
00
10
00
01
00
00
10
10
10
00
11
10
11
10
01
10
10
00
01
00
11
10
11
00
10
01
01
11
00
00
11
11
01
10
10
00
10
11
10
11
00
00
00
10
10
01
00
00
01
00
11
01
10
00
01
10
01
01
10
10
10
00
00
01
11
11
00
11
10
01
00
01
11
10
11
00
01
11
00
11
11
01
00
10
11
11
10
00
11
10
11
10
10
11
00
00
00
00
00
10
11
01
00
11
00
10
00
00
11
10
01
01
10
11
01
01
10
01
10
10
10
01
00
10
10
01
10
11
00
00
10
00
10
00
00
11
10
00
01
10
11
00
00
11
00
00
10
11
01
10
00
00
10
10
11
11
01
10
00
01
00
00
11
11
10
00
01
00
00
01
01
10
11
00
01
00
10
01
10
10
00
01
10
00
10
01
00
11
00
10
10
01
10
10
10
01
00
11
00
01
10
10
00
10
00
10
10
00
10
11
00
00
11
10
00
10
10
10
10
00
01
11
11
10
10
00
11
11
11
00
00
10
01
11
10
00
01
10
10
01
11
00
00
11
00
10
00
00
10
00
00
10
11
10
01
10
10
10
00
01
10
11
00
11
10
01
11
10
00
10
10
10
11
10
11
00
01
00
00
00
10
00
00
00
11
01
01
10
10
01
00
01
00
10
11
10
00
00
01
10
10
00
00
00
10
00
10
11
00
00
00
01
11
10
10
01
00
01
00
11
10
10
00
00
11
01
10
11
11
10
10
00
00
11
10
01
00
10
00
00
01
10
10
01
10
10
10
10
11
11
10
01
00
01
01
11
10
10
01
01
10
11
00
11
10
00
10
10
01
01
00
10
01
00
00
00
11
10
11
00
10
01
00
11
10
11
00
00
01
00
00
11
00
00
10
10
10
11
11
01
11
10
10
10
10
00
00
10
00
11
00
10
00
11
11
00
10
11
00
00
00
10
11
10
01
00
10
11
10
11
00
10
10
10
10
01
00
10
11
00
10
10
10
01
00
00
10
10
00
10
00
00
00
10
10
01
00
01
11
11
10
10
10
11
00
00
00
01
10
10
11
11
10
00
01
10
01
00
00
10
10
10
00
00
10
00
11
00
10
01
10
00
01
11
10
11
10
00
00
00
10
11
10
00
11
11
10
01
00
10
01
00
10
00
10
10
10
00
00
01
11
11
00
01
00
10
10
00
01
10
10
00
00
00
00
11
10
00
00
00
00
10
10
10
11
00
00
00
00
00
10
11
00
00
10
01
00
10
10
10
00
11
00
00
01
00
00
01
10
11
10
00
10
00
00
11
11
01
01
10
10
10
00
00
10
10
01
10
11
11
10
10
10
00
11
00
10
10
00
00
00
00
00
10
10
10
11
01
00
10
11
00
00
01
00
11
00
00
10
00
11
01
00
11
00
11
00
01
10
10
11
11
01
00
01
11
01
00
00
10
11
11
00
00
11
11
10
10
00
01
10
01
10
10
00
00
00
11
10
00
00
11
00
10
11
01
10
10
11
01
00
10
00
10
10
00
00
10
10
00
10
10
00
00
00
11
01
01
11
10
00
10
00
00
10
10
00
00
10
01
00
00
10
00
01
11
00
10
00
01
10
00
01
10
11
01
00
10
00
00
11
00
01
01
11
10
10
00
10
11
00
11
11
10
10
01
01
10
10
00
00
00
10
00
01
01
11
10
00
11
10
10
10
11
00
11
11
11
01
10
00
10
11
01
01
00
11
11
01
10
10
00
00
00
11
01
01
10
10
00
01
10
10
10
00
10
10
00
01
10
10
11
10
00
10
01
11
00
00
10
01
01
11
11
01
10
10
01
00
00
10
10
00
01
10
10
00
01
11
00
01
11
00
10
10
00
10
11
10
00
00
10
11
00
11
10
01
10
10
01
11
10
10
11
01
00
01
00
10
10
10
10
00
00
10
10
00
00
00
11
00
01
11
00
00
10
00
11
01
00
00
10
00
01
00
10
11
00
00
00
11
10
11
00
11
00
00
01
11
00
00
00
00
00
00
00
10
11
01
10
11
00
01
01
10
10
01
10
11
00
01
10
11
10
00
00
01
01
10
11
01
10
00
10
10
01
00
11
00
11
00
10
01
10
11
00
01
10
00
00
10
10
00
00
00
11
10
00
10
00
00
00
01
10
00
00
11
10
10
10
00
01
11
00
00
10
00
10
11
00
00
01
10
10
10
00
00
01
00
10
10
00
00
00
00
10
10
10
00
01
11
10
10
10
00
00
10
10
01
11
11
11
01
00
00
11
10
00
00
10
11
00
01
10
11
01
00
10
11
10
11
10
00
10
11
00
00
10
10
11
00
01
01
00
10
00
10
10
10
00
00
11
10
10
01
10
10
11
00
00
10
10
00
11
00
10
10
01
01
10
00
10
00
00
11
10
11
00
00
10
10
00
10
11
00
01
10
00
11
10
01
01
11
11
00
10
00
00
10
00
00
11
01
11
01
10
00
00
10
00
10
10
10
01
00
01
00
10
01
10
00
11
10
01
10
10
10
10
10
00
01
00
01
00
01
10
00
10
10
00
00
00
10
11
10
01
00
10
10
10
10
01
01
11
00
01
10
11
10
10
10
00
11
10
01
00
10
10
01
01
10
10
00
11
11
00
11
00
00
00
01
01
10
10
00
11
11
01
10
10
00
11
00
10
10
11
00
00
10
10
10
00
01
00
01
00
10
00
00
10
11
10
01
01
10
11
00
00
00
11
00
00
11
11
01
01
10
11
00
00
00
10
10
00
01
10
10
11
01
11
11
00
11
10
11
11
01
00
10
00
10
00
11
10
01
00
10
01
00
10
00
10
10
01
00
10
10
10
10
11
00
00
01
01
10
10
10
01
10
11
01
00
00
11
01
01
00
11
00
10
11
00
10
10
11
10
10
01
10
10
00
00
10
10
00
10
00
10
11
00
10
10
00
00
11
10
01
01
01
00
11
00
10
00
10
00
10
10
00
01
11
11
10
11
10
11
00
11
11
11
00
00
10
10
01
00
00
11
10
00
00
10
00
10
00
10
10
10
11
00
10
10
00
01
10
11
01
00
10
10
00
10
11
01
01
01
01
00
10
01
00
11
10
10
00
10
10
00
11
01
01
10
11
11
00
11
10
10
00
10
10
01
10
10
10
11
00
00
01
01
10
00
10
01
01
10
11
10
00
10
10
00
10
11
00
01
10
00
10
00
01
10
11
00
11
00
11
00
11
01
01
11
10
00
00
00
00
00
00
10
10
10
00
00
10
00
01
10
10
00
00
10
10
01
01
01
11
11
00
11
01
00
10
01
10
10
00
01
00
10
00
11
00
01
00
10
00
01
11
11
11
01
11
01
00
01
00
00
01
11
00
10
10
01
00
00
01
00
00
10
00
01
10
01
11
01
00
10
10
10
00
10
10
00
11
11
10
00
00
00
01
10
10
10
00
00
10
01
11
10
11
00
01
00
01
10
11
00
01
10
00
00
10
10
00
11
10
01
10
00
00
10
10
00
01
10
11
00
00
10
11
01
11
10
01
10
01
01
00
01
10
00
10
11
00
11
11
00
01
10
10
11
10
01
00
10
10
10
11
01
10
10
10
00
01
10
00
00
11
11
10
10
10
00
00
00
10
11
10
01
00
00
10
10
10
10
10
00
01
01
01
00
10
00
10
00
01
00
11
10
10
00
00
10
01
10
10
00
11
10
10
10
10
10
10
10
00
10
11
10
01
01
10
00
00
00
11
10
01
00
00
00
01
10
00
11
00
00
10
10
10
10
01
00
11
10
10
00
11
10
00
10
10
11
00
00
10
00
10
01
11
00
00
00
10
10
01
00
11
01
01
01
00
01
01
01
10
11
11
01
10
10
01
00
00
11
10
01
00
11
01
11
10
00
00
10
10
01
00
10
10
11
01
01
10
11
00
00
01
11
11
00
01
00
00
00
01
00
11
11
10
00
00
11
10
10
00
10
11
10
00
00
01
00
10
00
00
01
00
10
01
10
11
00
10
10
11
11
00
01
10
10
00
10
01
01
10
00
00
11
10
11
00
01
11
00
10
10
00
00
11
10
11
10
01
01
00
10
01
10
10
10
10
01
00
11
00
00
10
10
10
00
10
10
00
10
10
00
11
00
01
10
00
01
00
11
10
10
10
01
10
11
11
00
00
00
00
10
10
00
00
11
11
10
10
11
01
01
01
00
10
10
11
01
01
10
10
11
01
00
11
00
00
10
10
00
10
11
00
10
00
11
10
00
00
01
00
10
00
10
11
10
10
00
00
10
00
11
00
01
00
11
10
11
11
00
10
11
11
01
10
11
00
11
01
10
00
00
11
00
01
11
00
10
11
10
11
00
00
10
11
01
01
10
11
01
10
00
01
10
00
10
00
01
01
10
10
01
10
00
11
00
00
10
11
10
11
10
00
10
00
10
10
10
01
00
10
11
10
00
10
00
01
10
10
00
10
00
01
11
00
10
00
00
00
00
00
10
10
10
00
10
10
10
00
00
10
11
01
01
00
00
00
10
11
11
00
01
01
10
10
01
11
10
10
00
00
11
00
01
11
01
01
00
10
01
01
10
10
00
10
00
11
11
10
10
00
10
11
10
00
01
10
01
01
10
01
00
00
10
01
01
11
00
11
10
11
00
00
11
10
01
00
01
10
00
01
01
11
11
01
00
10
10
00
00
10
00
11
11
01
01
00
11
10
10
00
00
10
10
01
01
11
10
01
00
00
00
01
11
11
00
00
10
10
11
00
01
10
01
00
10
00
10
00
11
11
01
11
11
01
10
01
00
11
10
10
00
00
00
10
00
00
10
00
10
10
00
01
00
00
10
10
11
10
10
01
10
10
11
00
01
01
01
10
00
10
11
01
00
10
00
01
10
10
01
01
10
10
00
00
00
10
11
10
00
00
10
01
10
00
10
00
11
10
10
01
00
00
11
00
01
10
01
10
11
00
01
01
10
10
00
00
00
11
11
01
10
00
11
00
00
00
10
11
00
10
01
01
10
01
10
00
11
10
00
11
10
01
00
11
10
10
11
10
01
00
00
00
10
00
01
00
10
00
01
00
00
11
10
00
11
10
10
10
11
00
00
01
00
10
10
10
10
00
00
10
11
00
10
00
01
00
00
10
01
00
00
10
10
00
00
10
11
01
01
10
00
01
00
00
00
11
10
00
01
01
00
01
10
01
10
10
00
00
00
10
10
01
00
10
00
00
10
00
00
10
00
00
01
10
00
00
10
00
10
00
00
10
00
00
01
11
11
00
01
10
11
10
11
10
00
10
00
11
00
10
11
10
01
10
11
00
10
10
00
00
10
01
00
10
00
00
11
11
01
00
00
00
10
00
01
10
10
10
10
11
10
10
01
01
01
10
01
01
10
10
11
00
00
11
00
10
10
00
00
11
00
10
10
11
10
00
10
00
01
11
01
10
11
01
10
11
10
00
01
10
00
00
00
10
01
11
11
10
00
00
01
00
11
00
00
10
11
00
10
11
01
00
11
11
00
10
00
01
10
10
01
10
11
10
11
01
00
00
10
11
10
00
00
00
00
11
00
10
10
00
10
11
00
10
00
00
01
01
10
00
10
11
00
10
01
10
10
01
01
01
00
00
11
10
11
00
00
00
10
11
01
00
10
10
10
01
10
11
01
10
00
00
11
00
10
11
10
11
00
10
00
01
11
10
10
00
11
11
00
00
11
01
00
01
10
10
10
10
10
00
00
11
01
01
01
10
01
11
00
01
10
11
10
00
01
10
10
00
00
11
11
11
00
10
10
10
01
01
10
10
00
10
01
01
00
11
10
00
00
00
10
00
00
10
01
11
00
00
00
00
00
11
11
10
10
11
00
00
00
00
10
00
00
10
10
00
01
00
00
00
10
11
00
11
11
01
00
00
01
00
10
10
10
00
00
00
10
10
00
00
01
10
11
00
00
01
01
00
00
11
10
00
10
10
00
00
00
00
10
01
10
10
11
10
01
01
00
10
01
00
00
01
00
00
11
10
10
10
00
11
00
10
00
00
11
00
01
01
00
00
00
00
10
10
00
00
10
11
10
01
10
00
11
10
10
01
00
11
11
10
00
10
10
11
01
10
10
01
01
10
01
00
01
00
01
00
00
01
10
00
00
11
11
01
00
10
00
00
00
11
00
00
01
10
10
10
00
00
00
00
10
00
00
10
10
10
10
11
10
00
01
01
01
11
10
00
00
10
01
10
00
01
11
11
10
10
10
10
00
00
11
10
10
00
10
10
00
11
10
10
01
00
00
10
00
01
00
01
11
10
01
10
00
00
10
00
00
10
11
00
01
00
01
01
01
00
11
00
00
11
10
00
11
10
01
00
00
10
10
00
00
00
11
10
00
00
10
01
10
00
01
11
01
11
10
00
00
10
10
00
10
01
00
00
10
11
01
00
11
00
01
00
00
10
00
01
10
11
10
00
00
00
00
11
10
01
01
01
00
10
10
00
00
00
10
11
00
00
00
00
10
11
10
10
10
00
10
00
11
10
00
01
01
10
10
10
11
10
01
00
11
10
10
00
00
00
11
00
00
11
00
01
11
00
00
00
00
11
11
10
01
11
11
00
00
10
10
10
10
01
00
11
00
10
10
01
00
11
10
01
01
11
00
00
11
11
10
00
00
10
10
00
01
10
01
11
00
00
01
10
00
00
11
10
10
00
00
10
11
11
10
11
00
00
10
11
00
01
10
00
00
10
01
10
10
01
11
01
00
00
11
00
00
11
11
00
11
10
00
11
10
10
01
01
10
10
11
10
00
01
00
10
00
11
00
00
00
10
10
00
00
01
10
00
00
01
11
10
11
10
00
10
01
00
10
10
00
00
11
10
00
10
10
01
00
10
00
00
10
10
00
00
00
10
10
10
00
01
10
00
01
00
10
00
00
10
10
10
00
00
00
10
10
00
10
00
10
11
00
00
10
00
01
00
11
10
11
00
11
00
11
10
00
01
10
10
00
01
10
00
01
10
01
00
11
10
10
00
10
10
00
10
00
01
01
10
00
00
01
10
00
10
00
10
10
00
01
01
11
00
11
10
00
01
11
11
00
01
10
10
00
10
00
00
11
00
11
01
00
10
00
01
01
10
11
11
00
11
00
01
00
10
10
10
00
01
00
00
00
10
00
01
10
00
10
11
00
01
10
11
10
00
10
01
00
10
00
00
11
01
10
10
10
10
10
10
01
00
10
10
10
01
01
01
00
00
10
01
11
00
10
10
11
00
10
00
10
10
00
10
00
10
00
10
10
10
11
10
00
01
00
10
10
00
10
10
01
00
10
10
11
00
00
00
11
01
10
01
11
00
00
00
11
00
01
10
11
01
00
11
00
10
10
01
00
11
00
01
00
10
10
00
11
10
01
10
00
01
00
11
00
10
10
11
01
10
01
00
00
10
10
01
00
00
11
00
00
10
10
01
11
00
01
01
01
11
00
01
01
11
10
11
10
01
01
11
00
00
01
01
10
10
10
01
11
00
00
11
11
00
01
10
10
00
00
10
10
00
00
00
11
11
01
00
01
10
11
01
00
11
10
10
01
01
10
10
10
00
01
11
10
00
00
00
11
10
10
10
10
10
00
10
00
00
00
10
10
10
10
00
01
11
10
00
00
11
10
00
00
11
11
00
00
00
01
11
10
01
00
00
10
10
00
10
10
00
00
10
00
01
00
01
10
11
01
01
10
00
10
10
01
01
01
11
00
10
10
01
01
10
10
01
10
10
00
00
10
00
10
00
01
00
01
00
10
00
00
00
01
00
11
11
11
11
10
00
00
00
11
10
11
10
01
11
10
10
01
10
10
10
00
01
00
11
10
10
01
10
01
10
00
01
01
10
10
01
00
10
10
10
10
10
00
00
11
00
00
00
10
00
10
01
10
00
00
10
10
11
00
00
00
10
10
11
11
00
11
10
10
10
00
10
01
10
10
01
01
01
10
00
00
11
10
11
00
00
10
00
11
10
10
00
11
00
10
00
10
11
11
00
00
00
10
10
10
10
00
00
00
00
10
00
10
01
00
10
10
00
00
00
11
00
11
10
10
10
01
01
01
00
00
11
10
10
00
11
10
10
11
00
10
10
01
00
00
01
11
10
11
11
01
11
00
10
00
10
00
00
11
00
00
00
11
01
01
01
11
10
00
10
00
10
01
00
11
10
00
11
01
00
00
10
11
01
11
11
00
00
00
00
10
01
01
01
10
00
10
00
01
10
10
00
00
00
00
01
10
10
00
10
10
10
10
11
00
10
11
10
11
01
11
01
10
10
00
00
10
10
00
01
01
11
00
01
00
10
00
10
00
00
10
10
10
00
00
00
00
00
00
10
10
00
01
00
00
11
01
10
10
00
01
10
11
01
10
10
01
00
11
10
10
11
00
11
00
00
10
10
11
00
10
11
00
10
10
10
00
10
11
00
10
11
11
11
11
00
00
11
11
11
01
00
00
10
11
10
10
11
01
10
10
10
00
01
01
00
10
10
01
10
10
01
11
11
00
00
00
00
00
11
10
10
11
10
11
00
11
00
10
10
00
11
10
00
11
01
00
11
10
10
10
10
01
11
10
01
00
10
00
10
10
00
00
11
00
10
00
10
11
10
00
00
10
11
11
00
10
00
10
00
01
10
10
10
01
01
00
00
10
00
00
10
10
00
01
10
01
01
10
10
11
10
10
10
10
00
00
11
11
10
01
00
01
11
10
01
10
01
00
00
10
11
10
11
00
01
00
00
10
01
11
11
00
00
11
11
00
01
10
10
01
01
10
11
10
10
01
11
00
01
11
00
00
00
10
00
00
10
00
01
10
00
00
11
10
01
00
10
11
10
00
01
00
00
00
10
10
11
01
01
10
00
10
10
01
01
11
00
01
00
00
10
10
11
00
10
11
01
01
00
01
01
01
10
11
01
01
10
10
10
00
00
11
11
00
00
00
10
01
11
10
00
00
01
11
00
10
10
10
10
10
10
10
11
01
10
00
00
10
11
01
10
00
01
00
00
00
01
10
10
10
10
01
00
10
11
10
10
10
11
00
10
01
00
10
00
00
11
10
01
01
00
10
11
01
00
10
10
00
00
11
00
00
10
11
00
00
01
11
11
00
10
10
01
10
11
00
00
00
10
10
10
11
00
10
11
10
11
00
10
00
11
01
00
10
10
11
01
10
00
01
10
01
10
11
11
10
00
01
01
00
00
10
00
10
11
10
00
10
10
11
10
00
10
00
10
10
01
00
10
00
00
10
00
00
10
10
00
01
10
00
10
11
10
01
10
01
00
10
00
00
10
11
00
10
01
10
10
10
00
01
10
00
11
11
00
10
01
11
00
11
10
00
01
11
00
10
00
01
11
10
01
01
01
00
00
00
10
10
01
01
10
00
10
11
00
11
00
10
00
11
10
11
00
00
10
11
01
00
10
11
10
10
00
00
00
00
00
10
10
11
10
10
00
10
10
10
00
00
11
10
11
01
10
00
00
10
10
11
01
10
10
11
00
10
10
10
00
01
10
00
00
11
01
10
10
10
10
10
10
00
11
00
11
10
00
01
00
00
00
01
10
01
00
00
10
00
10
10
00
00
01
10
10
10
11
10
10
11
00
00
11
01
00
10
00
10
11
10
00
00
00
11
10
10
10
01
00
00
01
10
10
00
01
10
11
10
00
00
10
01
11
11
00
11
10
00
01
10
11
01
01
00
00
10
10
10
01
01
10
01
10
01
00
10
10
00
00
00
10
11
01
11
00
10
11
00
00
11
11
00
10
11
00
11
10
01
01
10
10
00
11
11
10
10
10
01
10
11
00
10
10
00
11
01
10
10
11
10
01
00
11
11
10
10
11
00
01
11
01
10
10
00
00
10
00
00
10
10
00
11
10
10
10
10
10
01
10
10
01
00
01
10
01
01
11
01
10
00
00
11
01
11
00
10
00
11
10
11
11
00
00
10
01
00
11
10
11
01
00
00
11
10
11
10
01
10
11
01
00
11
11
00
01
10
11
11
11
10
00
11
10
00
01
10
10
01
10
10
11
00
10
00
00
00
01
00
10
00
00
10
01
01
11
10
00
10
11
00
10
11
00
10
10
01
00
01
11
10
00
01
10
00
00
01
10
10
10
01
01
00
11
11
00
01
01
10
10
00
11
11
00
00
10
01
00
01
00
00
01
01
10
10
10
10
00
01
10
11
01
00
00
00
10
11
10
01
00
10
10
00
10
10
00
00
10
01
00
01
10
10
11
00
10
11
00
01
00
01
01
11
11
01
10
00
00
11
10
00
00
11
10
00
10
11
10
00
11
00
01
10
10
01
00
10
11
10
01
01
11
10
01
10
00
00
10
00
00
10
01
00
11
00
10
01
00
11
01
00
10
10
10
00
01
10
00
11
00
00
10
10
11
00
10
00
00
10
00
10
10
01
10
11
00
01
10
00
01
11
10
00
00
10
10
10
11
11
01
10
11
00
01
10
10
11
00
10
11
01
01
00
11
10
00
00
01
10
01
00
00
00
10
01
10
10
10
00
10
01
11
10
10
10
00
10
11
00
01
11
00
10
10
00
00
11
11
01
00
10
10
11
01
00
10
00
00
00
11
10
10
00
10
00
00
00
11
00
00
00
10
10
10
00
00
01
00
11
10
01
10
00
11
10
11
00
11
11
00
10
10
11
00
00
11
11
10
10
00
00
01
00
11
10
00
11
00
10
00
00
10
01
11
10
00
00
00
10
10
10
10
00
10
11
10
10
01
11
01
10
00
10
10
00
00
00
10
10
00
10
00
00
11
10
10
10
00
11
01
00
01
11
10
00
10
00
10
10
01
00
11
10
00
10
01
10
10
11
00
00
11
01
10
10
00
11
10
11
10
00
00
10
01
01
11
11
00
00
11
10
00
00
10
11
10
00
00
00
00
11
01
10
10
00
11
10
00
00
10
01
00
01
10
11
00
10
01
11
01
00
10
11
11
10
01
00
10
00
00
10
11
00
00
00
10
10
00
10
11
11
10
11
11
00
11
00
00
01
00
10
10
10
01
00
00
11
00
01
10
11
00
10
11
10
10
01
11
11
11
01
00
11
00
01
00
11
10
01
10
11
00
01
01
11
00
10
11
01
10
00
01
10
10
00
10
00
00
10
10
10
00
00
00
00
10
00
00
10
10
01
00
01
11
01
00
10
00
00
10
10
10
00
10
10
11
00
01
11
00
01
00
00
10
10
10
11
01
00
11
01
10
10
10
10
10
10
00
00
10
00
00
00
00
11
10
10
00
00
10
00
10
10
10
01
00
00
10
00
00
01
00
10
10
11
10
11
10
00
00
10
00
10
01
00
01
01
11
00
10
10
01
01
10
10
01
01
11
10
00
00
00
00
10
11
00
10
11
10
00
10
11
01
00
10
01
00
00
11
11
11
00
00
10
11
10
00
00
10
11
10
01
01
01
10
00
10
11
01
01
10
10
10
00
00
11
00
01
10
10
10
10
00
00
00
10
10
01
10
01
00
10
10
01
00
10
10
00
10
10
01
01
10
01
01
10
00
10
11
00
10
00
01
10
11
10
10
10
01
10
10
00
01
10
00
00
00
10
10
10
11
11
00
00
00
11
10
10
00
00
11
00
01
10
10
10
01
00
11
10
01
01
10
00
00
00
10
00
01
10
10
10
01
11
00
00
10
00
01
00
01
00
01
00
10
10
01
11
10
10
10
10
00
10
10
10
00
01
00
00
10
10
00
10
10
00
00
00
00
10
01
01
11
00
10
00
10
10
10
00
11
01
11
10
01
00
01
01
00
10
01
10
10
10
00
00
00
00
10
00
00
01
10
00
10
11
10
10
11
00
10
10
10
00
00
10
10
10
00
11
10
10
01
00
00
10
10
10
00
00
10
00
11
10
00
10
01
01
10
00
10
10
01
00
10
10
01
00
10
10
01
00
10
00
11
01
00
10
10
10
00
00
11
00
00
10
00
00
10
01
10
10
00
00
10
10
10
01
00
11
00
11
11
11
01
00
10
11
00
00
10
11
00
01
10
10
10
01
00
11
11
00
10
01
01
01
10
11
00
00
10
00
00
10
11
10
00
10
00
10
00
10
10
01
10
01
01
11
11
00
00
01
00
11
00
00
10
11
01
00
10
11
11
10
10
10
00
01
01
11
10
10
00
01
10
01
11
11
11
00
01
11
00
00
01
10
10
11
10
10
01
01
10
00
00
01
00
10
00
10
10
00
00
10
10
10
00
11
11
10
00
00
10
00
00
11
10
00
00
10
10
00
00
10
00
11
11
01
11
01
01
11
10
11
00
01
10
10
00
00
00
10
11
10
00
01
00
11
00
00
11
11
00
01
00
10
10
10
10
01
10
10
10
00
10
00
11
00
10
01
11
11
00
10
10
11
00
00
11
00
01
00
01
10
01
00
10
01
10
10
00
01
11
11
10
00
10
01
00
10
00
11
00
00
00
10
00
10
00
01
00
10
10
10
11
10
10
00
00
10
10
00
00
10
10
11
10
00
00
10
00
00
10
00
11
00
11
00
01
01
11
10
00
01
10
10
01
10
00
00
01
10
11
10
01
00
11
10
00
00
10
11
00
00
10
10
00
11
11
11
10
11
00
01
10
01
00
01
10
01
11
11
10
00
00
00
00
10
11
00
01
11
10
11
10
00
10
00
01
10
11
00
00
01
10
00
10
11
00
00
01
00
01
10
01
11
01
10
00
01
10
00
00
11
11
00
00
10
00
00
10
11
10
00
00
10
01
10
01
00
01
10
10
00
01
11
10
00
00
11
00
00
00
01
10
10
10
00
10
10
11
10
10
10
00
00
11
00
11
00
10
10
10
00
00
00
10
11
00
01
11
00
11
11
00
01
11
10
10
11
01
00
11
10
01
01
10
11
11
01
00
11
10
00
10
10
00
00
10
11
01
10
00
10
11
10
00
00
10
10
10
00
10
10
00
01
10
10
00
00
00
10
01
00
01
11
11
10
00
10
11
00
01
11
11
01
11
01
00
11
10
01
00
10
11
01
11
01
00
01
00
10
01
10
10
00
00
01
10
11
00
00
10
11
00
00
01
10
10
11
00
00
11
10
00
11
11
00
00
10
01
00
11
10
11
10
10
00
10
10
00
00
10
01
00
10
11
01
10
00
00
00
10
01
00
10
11
11
10
10
00
00
10
11
00
11
11
00
11
01
00
00
00
10
00
00
10
10
01
10
00
00
10
10
00
10
01
11
01
00
11
11
10
10
10
10
10
01
00
00
00
10
00
01
10
10
00
10
11
10
00
10
01
00
01
10
10
00
00
10
11
10
11
10
01
10
01
11
01
10
01
11
10
10
00
11
10
00
01
00
00
00
10
10
00
00
11
10
00
00
00
00
11
10
00
00
10
10
11
01
10
01
00
01
01
10
00
00
10
10
00
00
11
11
00
01
10
10
00
00
11
11
00
00
01
10
01
00
10
11
10
00
01
10
10
00
01
11
01
10
10
10
01
11
10
01
00
01
01
10
00
00
01
10
10
00
10
10
11
00
01
10
00
01
00
00
00
00
10
00
10
10
11
00
11
01
10
10
01
10
00
00
10
10
00
11
10
10
01
00
11
01
10
01
11
10
00
10
10
01
10
11
01
00
01
10
00
00
10
00
00
10
10
00
00
00
10
10
10
00
10
01
11
11
01
10
11
10
00
00
01
00
01
11
11
10
10
11
00
01
00
00
11
10
01
10
00
00
01
00
10
10
10
10
10
11
00
00
11
10
00
10
01
11
01
00
00
01
01
01
11
10
01
01
10
11
10
10
00
00
10
00
10
11
11
00
10
01
00
01
01
00
10
01
10
10
11
11
01
00
10
01
01
10
10
10
10
10
00
00
01
10
10
11
11
00
01
01
01
00
10
10
10
00
01
01
00
11
01
00
01
00
10
01
11
11
10
00
00
10
11
10
11
00
00
00
00
10
00
00
10
00
01
10
00
10
01
11
11
01
00
11
00
00
01
00
10
10
00
10
10
00
11
10
01
01
00
10
10
00
00
01
00
01
10
11
11
01
00
00
11
11
11
00
01
10
10
00
00
10
01
10
10
11
00
01
00
00
10
01
10
11
01
10
10
00
10
10
00
00
01
10
00
00
10
00
00
00
11
10
00
00
10
11
10
10
11
00
11
01
00
11
10
01
00
10
10
11
00
00
11
11
10
10
10
00
01
10
10
11
01
01
01
11
10
11
10
00
00
11
10
01
10
10
10
10
11
01
01
10
00
10
00
10
01
00
11
00
10
00
00
10
10
01
11
01
10
11
01
01
01
01
10
10
11
10
11
00
01
11
11
10
11
10
00
00
11
01
01
01
10
11
10
10
00
00
11
00
00
11
10
00
00
10
11
10
11
00
10
10
00
10
00
00
10
00
01
00
01
00
01
10
11
10
10
00
00
00
00
00
10
11
00
10
10
00
10
10
11
00
00
10
11
10
01
00
00
01
00
00
10
00
10
11
01
10
00
11
11
00
01
10
00
00
10
00
11
10
01
11
10
01
00
10
10
00
00
01
00
11
10
00
10
10
01
11
10
00
11
00
10
10
00
00
11
10
11
00
10
00
11
11
00
00
01
00
01
00
00
10
10
01
10
10
00
00
01
11
10
10
11
00
01
11
10
01
10
11
00
00
00
11
01
00
00
11
10
10
01
10
00
10
10
00
10
10
10
00
00
11
10
00
01
11
00
00
10
00
01
10
10
11
10
10
10
01
00
00
10
10
00
00
01
10
11
00
01
01
11
01
10
01
00
10
10
10
01
00
10
11
11
10
01
10
10
01
10
00
00
10
10
10
10
11
00
01
01
00
10
10
10
11
01
00
01
00
11
01
10
01
00
11
00
10
11
10
10
00
10
10
10
00
00
00
00
00
10
11
10
01
11
11
10
01
10
10
00
01
10
10
10
01
00
00
11
01
11
01
10
00
00
10
01
00
10
10
00
00
10
10
00
00
01
00
10
10
00
11
10
11
00
01
10
00
00
10
01
00
10
10
01
10
00
10
10
01
11
00
00
00
11
00
00
00
00
10
11
00
10
11
11
00
01
00
10
01
00
01
10
00
11
00
00
10
10
01
10
10
00
01
10
10
11
11
10
10
10
01
10
00
10
11
00
00
00
00
00
10
10
11
00
00
11
00
10
11
01
00
11
11
00
10
10
10
10
10
00
11
00
11
10
01
00
10
10
01
11
10
11
00
00
01
00
10
00
00
11
00
01
10
10
00
10
10
10
01
10
00
00
10
01
11
00
11
11
10
01
00
10
10
01
00
00
00
10
10
01
11
00
10
10
10
10
10
00
11
11
00
10
01
00
01
00
10
10
10
10
00
10
01
00
11
01
00
00
10
00
10
10
00
00
00
00
10
00
10
00
10
10
01
00
10
10
00
01
10
10
10
00
00
00
01
00
01
10
01
11
00
10
10
01
00
10
01
10
10
01
10
00
00
10
10
11
00
00
10
00
00
10
10
00
00
11
00
11
11
10
10
00
01
10
01
00
11
00
00
00
00
11
11
00
00
10
10
01
10
10
10
01
00
00
10
10
00
00
00
01
00
01
00
00
00
10
10
10
00
00
11
10
01
10
00
00
11
10
11
00
00
10
10
00
00
10
01
00
00
11
11
10
01
11
00
10
10
01
00
10
10
01
01
11
00
00
10
10
00
11
10
00
00
11
01
10
00
10
11
11
10
10
00
01
10
01
00
00
00
11
10
10
10
00
00
00
00
01
00
01
10
11
11
10
01
10
11
01
10
10
00
01
10
10
00
00
00
10
10
00
11
01
10
00
00
01
01
00
10
11
10
00
11
10
00
10
10
00
00
10
11
00
01
10
01
10
11
10
10
01
00
11
11
10
11
10
10
00
00
00
10
00
00
10
11
10
10
01
10
00
00
10
00
00
10
00
00
10
10
00
00
01
00
01
00
00
11
10
10
10
10
10
11
11
00
01
00
01
10
10
01
01
11
10
01
10
01
10
00
00
00
00
11
00
10
10
00
10
00
10
10
01
00
01
00
00
11
11
11
10
01
00
11
00
10
10
00
00
00
10
01
01
00
10
10
01
10
00
11
11
01
00
11
00
01
10
00
10
11
10
10
11
00
00
11
11
01
00
00
00
11
11
10
00
01
00
10
00
01
00
10
11
11
00
11
10
00
00
10
00
01
10
01
01
11
00
10
10
10
00
01
11
10
10
11
00
00
11
00
00
11
10
01
01
10
10
01
00
10
00
01
10
10
10
00
01
10
11
10
01
11
01
01
11
01
00
00
10
11
01
01
10
00
00
10
00
11
00
01
11
11
10
00
11
10
10
10
00
00
10
11
11
11
00
01
00
10
10
00
00
00
00
10
11
10
01
10
11
10
10
01
10
01
00
11
11
00
00
10
00
00
01
10
11
00
10
11
11
01
00
00
10
00
00
10
10
00
10
10
00
10
00
11
10
11
10
10
00
01
01
10
00
10
10
00
00
01
00
00
11
10
10
10
10
10
10
01
10
10
10
11
00
01
00
00
01
00
10
10
01
00
01
00
00
01
00
00
10
00
00
11
10
10
01
00
00
10
11
11
00
00
11
10
11
11
10
00
01
11
01
01
11
11
00
00
10
10
00
00
01
10
10
10
00
01
01
00
10
11
11
11
11
10
00
10
11
10
11
00
00
00
11
10
00
00
10
10
00
00
10
11
00
00
10
00
00
10
10
10
11
10
01
10
01
00
00
00
10
00
01
00
11
10
00
01
10
10
11
01
01
11
10
00
10
11
00
10
11
01
00
11
01
00
11
11
01
11
10
00
00
10
11
11
11
00
00
11
10
10
01
00
00
00
11
10
01
11
10
00
01
00
11
10
01
01
10
10
00
11
01
10
11
11
10
01
10
00
11
10
00
00
10
11
11
00
10
10
00
01
01
01
01
10
00
01
10
10
00
00
10
00
10
10
01
00
01
10
11
10
10
10
01
01
00
10
10
00
10
01
01
00
01
00
11
00
11
10
01
00
10
10
01
11
10
11
11
10
00
10
11
01
11
11
01
01
10
00
01
10
11
00
00
01
00
01
10
00
00
10
10
10
00
00
01
00
10
00
01
10
00
10
10
00
00
10
10
11
11
10
11
10
00
11
01
10
00
10
10
10
00
11
10
00
00
00
11
11
01
00
00
10
10
11
10
01
00
11
01
11
00
01
11
10
00
00
01
10
10
00
10
10
00
00
00
11
00
10
10
00
01
00
10
01
10
01
10
01
00
00
10
10
10
00
10
10
00
11
00
00
00
10
10
01
10
11
11
11
11
00
01
11
00
11
11
00
00
10
01
00
10
00
00
10
10
00
01
00
11
10
11
10
00
00
10
11
00
10
10
01
10
11
01
00
00
01
10
10
10
00
10
01
00
00
00
10
01
00
11
11
00
00
10
10
10
10
00
01
00
10
10
10
00
10
00
00
00
10
00
10
00
00
00
10
10
11
00
10
10
01
01
00
10
00
10
11
10
11
00
00
00
10
10
00
00
10
10
00
01
00
01
10
00
00
10
00
10
10
10
00
10
00
10
10
00
01
10
10
10
01
00
00
10
01
01
11
00
10
11
10
00
00
10
00
00
10
10
11
10
00
10
11
10
11
00
00
00
00
10
00
01
10
00
01
10
10
00
00
10
01
10
10
00
01
10
00
00
10
11
01
00
11
00
01
00
10
11
11
00
01
10
01
00
11
01
00
10
01
11
10
00
01
11
01
01
01
11
10
01
11
01
01
10
11
01
00
10
10
10
01
01
10
01
00
10
10
00
00
00
00
10
00
00
11
11
00
10
10
00
10
01
00
10
10
00
01
10
10
00
10
10
10
10
01
00
11
10
10
00
00
10
10
00
00
00
10
11
01
10
11
10
01
00
00
11
10
10
01
00
10
01
10
10
01
00
11
01
10
00
01
10
00
10
11
01
10
11
00
01
00
10
00
11
11
00
00
10
00
01
10
10
10
01
10
01
01
01
11
00
01
10
10
11
00
00
10
11
00
10
10
11
10
00
10
00
01
00
11
10
00
00
10
01
00
01
11
00
00
01
01
10
11
01
01
10
00
00
00
11
10
00
10
10
01
00
01
11
01
00
11
10
00
00
00
11
11
11
00
01
00
10
00
00
11
10
01
00
10
00
10
10
10
01
01
00
10
00
01
10
00
00
01
10
11
11
11
10
00
11
10
10
00
00
00
10
10
11
00
11
00
01
00
11
00
01
10
11
01
00
10
10
10
00
00
11
11
01
00
10
01
00
00
10
10
11
10
10
00
10
10
01
00
00
11
10
10
10
00
11
00
10
11
00
01
11
01
10
11
10
00
10
10
10
00
10
11
10
11
00
00
11
10
01
11
00
00
10
10
00
01
10
11
00
11
01
10
11
10
00
01
10
10
10
01
10
11
10
00
10
01
00
10
00
10
00
00
00
11
00
00
11
10
01
00
11
11
10
01
00
11
11
01
01
00
00
10
00
10
10
00
00
01
00
00
10
10
00
10
10
00
01
01
10
10
10
10
00
00
00
10
00
10
11
10
00
10
10
00
10
01
00
01
10
11
10
10
01
00
00
10
10
00
00
10
10
10
00
00
11
01
00
00
00
00
11
10
00
00
00
10
11
00
00
01
10
00
11
00
10
00
11
01
10
10
00
10
00
00
11
10
10
00
00
00
10
11
00
10
01
10
00
00
10
01
11
10
11
11
00
00
01
11
00
01
10
10
01
01
10
00
01
10
01
01
00
11
01
11
10
10
00
01
10
11
10
10
11
00
00
10
00
00
00
00
10
11
00
01
10
10
00
11
01
01
00
10
00
00
01
10
10
11
00
01
01
10
10
00
00
11
00
01
11
11
10
00
10
00
11
10
01
00
00
10
11
10
00
11
10
00
00
10
11
01
11
00
11
10
10
10
00
01
10
11
00
00
00
11
10
11
10
00
00
10
10
00
10
01
10
11
10
10
10
10
00
00
00
00
01
11
00
10
10
11
11
01
00
11
10
00
00
10
10
01
00
10
10
10
11
00
00
10
11
11
00
00
10
01
01
01
11
00
00
11
00
01
00
11
11
00
00
10
01
00
10
00
00
10
11
00
00
10
00
00
01
10
11
01
10
01
10
10
10
00
00
11
00
00
10
00
10
11
10
11
10
00
01
01
11
01
01
11
00
00
00
00
10
10
00
01
10
01
00
11
00
01
00
01
11
10
10
00
00
10
00
01
10
10
10
00
10
10
00
11
00
10
11
10
10
11
10
00
00
01
00
00
10
00
10
10
00
11
10
10
00
10
00
10
00
00
11
10
00
11
11
00
10
10
01
00
10
11
10
10
00
10
01
00
10
01
00
00
01
10
10
01
00
10
00
10
11
10
01
00
00
10
01
10
01
00
01
11
10
01
11
10
10
00
00
11
10
00
10
10
10
00
10
00
11
10
11
00
10
11
10
10
01
00
00
00
10
11
10
10
11
10
11
00
00
10
10
10
10
10
01
01
10
11
11
11
11
10
00
01
10
10
00
00
10
11
00
10
10
10
10
01
00
00
10
00
00
10
00
10
00
01
10
10
10
11
00
01
00
00
00
00
10
11
10
00
10
10
10
01
11
00
11
10
00
11
10
11
00
11
11
01
01
10
10
10
00
00
01
10
10
11
11
10
11
00
10
00
10
00
10
01
01
00
10
10
01
10
00
01
00
10
00
10
10
01
01
10
00
10
10
01
00
00
11
00
00
00
10
01
10
10
10
10
01
10
11
00
10
00
10
00
10
10
00
10
10
00
01
00
00
10
00
10
01
11
00
10
01
11
00
11
10
00
00
00
10
00
01
11
01
00
01
10
00
01
00
01
00
00
10
00
11
11
10
01
11
11
01
10
11
10
10
10
01
00
11
10
00
01
10
10
00
10
10
11
00
00
10
00
01
10
10
11
10
10
00
00
00
10
00
11
01
01
10
00
01
00
00
00
10
11
00
11
01
10
01
00
00
11
10
00
01
11
10
10
10
00
10
11
01
10
11
11
00
11
11
01
00
10
00
11
01
01
10
11
00
00
10
00
00
10
10
00
11
10
01
00
11
01
00
00
10
10
10
11
00
00
10
00
10
10
10
00
00
10
00
10
00
00
00
10
10
01
00
00
00
10
10
10
01
00
00
00
00
11
01
10
10
01
00
10
00
01
00
10
11
10
10
01
00
00
10
10
10
00
01
10
01
10
10
10
00
10
11
10
01
00
10
00
01
10
10
11
00
01
11
10
00
11
00
10
00
10
01
11
01
10
00
00
00
10
00
00
10
10
01
10
01
11
10
11
00
10
10
10
00
10
01
01
00
10
10
01
10
10
10
11
10
00
00
00
00
11
10
11
01
10
00
00
10
10
11
00
01
10
10
10
10
00
01
01
11
01
00
00
00
11
11
11
01
11
01
00
00
00
00
10
10
10
00
10
11
00
00
10
00
00
00
01
00
10
00
01
11
01
10
10
11
11
10
00
00
10
00
11
01
01
11
10
00
00
11
00
00
10
10
01
10
00
00
00
00
01
10
10
01
10
10
01
01
10
00
00
10
11
00
00
01
00
00
10
10
00
11
11
00
01
01
01
01
10
01
00
10
10
10
00
00
11
00
11
01
10
11
00
11
00
01
11
00
10
10
10
10
10
00
11
11
01
01
10
10
01
01
00
00
10
10
01
11
11
01
00
10
10
00
01
10
10
01
00
10
00
11
01
00
10
10
10
00
01
00
10
00
10
10
00
11
00
10
10
01
11
10
10
01
11
11
00
00
10
00
00
11
00
01
10
01
00
00
00
10
00
10
10
00
01
00
00
11
10
10
00
10
00
01
00
10
10
00
10
10
00
10
10
00
00
10
01
01
11
01
00
00
10
10
00
00
11
11
11
10
10
10
11
00
01
10
10
01
00
01
10
01
00
00
10
10
10
00
11
01
10
10
11
00
10
00
10
10
00
01
00
01
00
11
00
11
01
10
10
00
00
10
11
10
01
00
00
11
10
00
00
10
10
10
10
00
01
11
01
01
01
10
00
00
01
01
11
10
01
10
01
01
10
00
10
01
11
10
10
10
10
10
00
10
00
01
00
00
11
11
00
00
10
11
01
00
11
11
01
10
10
00
10
10
01
00
10
11
01
11
11
00
11
11
01
11
10
01
00
10
10
10
10
10
10
11
00
01
10
10
00
00
11
00
11
01
01
11
10
00
00
00
00
11
10
10
00
11
10
11
01
01
00
10
00
01
00
10
11
00
00
10
00
01
00
10
10
10
00
10
00
00
00
10
00
10
10
00
01
01
10
11
11
00
10
01
00
10
10
01
11
11
00
10
10
00
10
11
10
01
10
11
01
00
00
01
01
11
01
00
01
10
01
00
10
11
00
01
10
11
00
00
01
00
01
00
10
11
01
00
10
10
00
00
10
10
10
00
01
00
10
10
00
11
10
00
01
00
01
10
11
00
11
01
01
01
10
01
00
11
10
01
10
10
00
00
10
10
00
00
10
00
10
00
11
00
01
00
10
10
00
10
11
10
01
00
10
01
00
01
01
01
10
10
01
00
01
11
01
00
10
01
00
01
10
11
01
11
10
10
01
00
11
01
00
10
01
00
01
10
11
00
01
10
11
10
11
10
11
01
11
01
01
10
11
00
01
10
00
01
10
10
00
00
00
01
00
10
11
00
00
00
11
10
01
00
10
10
00
00
00
10
10
10
11
00
10
10
00
00
01
11
10
01
00
00
00
10
10
10
01
00
01
00
00
10
10
11
01
00
00
00
10
10
10
00
10
00
00
00
10
01
10
10
11
10
10
00
00
11
01
00
11
00
11
01
11
10
00
00
11
00
00
10
10
01
00
10
01
00
11
11
10
11
11
10
10
00
01
10
10
00
01
11
11
10
01
00
11
01
00
10
11
10
00
10
11
00
10
11
00
11
00
00
11
11
00
00
10
10
10
10
00
01
00
00
10
00
10
01
00
10
00
01
00
01
10
10
00
00
10
01
01
01
11
10
10
10
00
10
00
00
10
10
00
11
01
10
00
00
10
00
00
10
10
00
00
01
01
11
00
10
10
01
11
01
01
00
11
00
10
10
10
10
01
10
11
01
00
00
01
10
10
00
00
01
00
00
00
00
01
10
10
00
01
11
10
01
00
10
10
00
11
00
00
10
11
00
00
11
00
00
00
00
10
10
01
10
10
01
01
01
10
10
10
00
11
11
00
00
10
00
00
10
10
01
10
10
11
10
10
00
01
11
10
11
00
11
11
11
01
01
11
10
10
01
00
00
00
10
10
01
10
00
10
11
10
11
11
00
00
11
10
10
01
10
01
00
00
11
10
00
10
00
00
10
10
10
01
00
00
10
10
10
11
00
01
11
10
00
00
00
00
00
11
10
01
01
01
00
01
01
00
00
01
00
10
11
01
11
10
10
11
01
10
10
00
00
10
10
10
00
00
10
11
11
00
00
10
00
00
00
10
00
11
11
01
10
11
00
10
10
00
11
11
00
11
01
11
00
01
00
10
10
00
01
10
11
10
11
00
11
00
01
00
10
01
01
11
10
11
01
10
11
10
10
00
10
11
00
00
10
10
11
00
10
10
10
00
10
11
01
00
10
10
10
00
00
00
01
11
10
10
00
10
10
10
10
10
10
00
10
10
00
10
11
10
01
01
00
10
00
01
01
01
10
10
01
00
11
00
10
00
10
10
00
11
10
01
01
00
00
10
10
00
01
10
10
10
00
00
00
00
00
00
00
00
11
00
01
10
01
10
01
11
10
01
01
11
10
10
10
10
01
00
11
11
01
10
00
00
00
00
01
00
10
10
00
01
01
01
11
01
10
11
10
01
10
10
00
00
11
10
10
00
00
10
01
00
00
00
10
00
10
10
00
00
10
11
11
00
00
11
11
10
00
00
10
00
10
00
10
01
01
01
01
10
10
01
11
11
11
01
00
00
10
10
10
00
01
11
00
10
00
00
00
00
10
11
00
01
10
00
10
01
00
10
10
00
01
10
01
11
10
11
10
00
10
00
00
11
11
10
10
01
00
00
00
11
00
10
01
00
11
10
00
10
01
10
11
11
00
01
10
00
11
01
01
10
00
10
11
10
11
00
00
10
10
00
00
11
11
11
11
00
00
10
01
10
10
00
00
00
01
01
10
10
00
10
00
01
11
11
00
00
10
00
10
10
01
00
01
00
10
11
11
10
10
10
00
10
00
01
10
00
00
00
10
00
00
01
11
00
10
00
00
00
10
00
01
10
00
00
10
00
00
10
10
00
00
00
00
11
01
00
10
00
10
01
10
10
11
11
01
01
01
00
00
01
10
10
00
00
10
11
01
00
00
10
10
00
10
00
00
11
01
01
11
10
00
11
00
11
11
00
00
10
01
10
01
00
10
11
00
11
00
01
10
11
01
10
10
10
00
01
10
10
00
10
10
00
11
00
10
10
00
10
00
11
00
11
11
00
00
10
10
00
10
01
00
11
10
10
10
01
10
11
11
01
00
10
00
11
11
01
00
10
11
00
00
00
10
11
00
10
10
00
11
00
10
11
00
00
00
10
10
00
00
01
00
10
10
10
00
10
11
00
00
11
01
00
01
01
10
00
00
00
01
00
10
10
01
00
00
01
11
00
00
01
01
00
00
01
11
00
00
10
00
00
10
01
00
10
00
10
10
00
11
11
11
00
10
01
00
11
01
00
11
10
00
00
10
01
10
11
01
00
10
10
11
01
01
10
11
01
01
10
01
00
10
10
00
11
10
11
00
00
00
00
01
10
00
01
10
10
01
00
10
10
10
00
01
10
00
00
11
00
10
11
00
01
11
10
00
11
10
01
00
10
00
11
10
11
10
00
10
10
11
00
10
11
00
11
00
00
00
10
10
00
10
10
00
00
00
11
01
10
01
10
10
10
00
00
00
10
10
00
10
00
00
11
01
00
10
00
00
11
00
00
10
00
10
10
00
10
10
10
00
00
01
01
01
10
11
01
01
00
01
01
10
10
00
00
10
00
00
10
10
01
00
01
00
10
00
10
10
00
00
00
10
11
00
11
11
00
01
01
00
11
00
01
01
10
10
01
11
01
10
00
00
10
01
11
10
00
00
00
11
01
00
10
11
00
00
00
10
10
00
01
10
10
00
01
00
10
10
00
00
11
00
01
00
00
01
01
00
10
10
00
00
00
00
10
10
00
00
11
10
00
10
10
01
10
00
00
00
11
10
01
10
01
11
10
00
00
00
10
11
00
10
01
00
10
10
11
01
10
11
11
10
00
01
01
10
01
00
00
10
11
00
10
10
10
11
00
10
11
10
11
10
00
00
10
10
00
10
10
00
01
00
00
10
00
00
00
10
10
00
00
11
10
11
10
11
10
10
10
01
00
01
11
10
00
11
11
00
01
00
11
00
10
11
01
11
11
00
00
00
01
00
10
10
00
01
11
00
00
10
00
00
10
10
10
00
00
00
01
01
00
00
00
11
10
10
01
11
01
01
11
11
00
00
10
11
01
11
10
01
01
01
01
00
00
10
10
10
00
10
00
01
00
01
00
10
10
00
11
00
10
00
01
00
01
10
11
10
00
10
11
11
00
00
10
11
00
10
10
01
00
00
01
00
01
00
00
01
00
11
10
00
00
10
10
10
10
00
00
11
00
00
11
10
01
00
01
01
01
10
11
10
00
00
10
01
01
10
11
01
00
00
10
00
00
01
10
00
10
11
01
00
10
10
00
11
11
01
00
10
10
00
00
01
00
11
00
00
00
00
11
11
00
01
10
10
01
00
10
10
11
01
00
10
00
00
10
01
10
11
10
01
01
10
10
00
00
00
00
10
10
00
01
00
01
00
11
10
10
11
11
10
00
10
01
10
00
00
10
10
10
01
10
00
00
00
10
10
00
11
11
01
01
00
00
10
00
01
00
10
11
10
01
00
10
00
10
00
00
00
10
00
00
10
10
00
00
10
11
00
00
10
00
00
10
10
10
01
10
00
00
00
10
10
01
00
10
10
00
00
11
10
00
11
00
01
10
00
00
11
11
10
10
00
01
00
10
10
01
10
10
11
01
11
00
10
00
11
01
11
10
00
00
10
10
00
10
10
00
11
11
01
11
00
00
00
01
11
10
10
01
00
10
01
00
10
01
10
01
10
00
10
00
01
10
01
10
10
00
10
01
01
01
11
00
00
11
10
10
00
10
11
00
00
01
00
11
10
01
01
00
01
00
00
10
10
00
10
11
01
00
10
00
11
00
01
10
11
01
01
10
10
01
00
10
01
10
10
00
00
00
00
00
11
01
00
10
10
00
11
10
10
10
01
00
00
10
10
01
01
11
10
10
00
01
11
00
01
00
01
01
11
11
10
01
10
11
01
00
00
00
10
01
00
10
00
01
00
10
00
00
10
00
11
00
00
10
11
00
01
10
00
00
10
00
11
10
01
00
10
10
11
00
10
11
00
10
00
10
10
01
00
01
00
00
00
01
11
00
01
10
11
10
11
00
00
01
10
10
10
00
00
10
10
00
10
11
01
10
11
11
01
10
00
00
00
10
00
10
01
10
11
11
10
00
10
11
10
11
00
01
00
10
11
01
01
10
11
00
00
01
00
01
11
01
01
10
00
00
01
11
10
01
00
10
00
01
01
00
10
01
00
00
10
10
01
00
00
00
01
00
01
11
10
00
11
10
10
10
01
10
10
10
10
10
10
00
00
00
00
01
01
00
10
10
10
01
01
00
10
00
10
01
11
01
11
10
00
01
00
11
01
00
11
10
11
00
11
10
00
00
10
11
01
01
11
11
00
00
00
00
00
10
10
11
10
00
10
01
00
11
10
00
11
10
00
01
01
10
10
10
11
01
00
11
10
10
10
10
00
00
00
11
11
10
10
10
00
11
10
00
10
10
11
10
11
10
01
00
01
00
10
10
00
00
10
11
00
10
00
01
10
11
00
10
01
01
00
00
10
10
00
00
01
00
11
00
10
00
11
10
10
10
00
10
11
00
11
11
00
10
11
00
01
00
10
11
00
00
00
10
11
01
10
11
00
01
11
00
00
01
11
10
01
01
11
10
00
00
10
00
00
11
10
10
10
00
10
10
00
00
00
01
00
01
11
11
10
10
01
00
00
10
10
00
00
01
10
01
00
00
01
10
00
11
10
01
10
00
00
10
11
11
00
01
01
00
00
00
11
10
10
00
11
10
00
00
00
00
10
11
10
00
10
11
00
10
00
01
11
00
00
10
10
10
10
00
01
10
10
10
11
00
01
10
01
00
10
11
01
11
11
01
00
11
00
10
11
00
01
10
01
00
10
11
00
01
10
00
00
00
10
10
10
11
01
01
00
01
00
10
00
01
10
00
00
10
00
01
11
01
00
10
11
10
11
00
01
11
00
10
10
10
00
00
01
01
00
00
00
10
00
01
10
10
01
10
10
00
10
01
01
10
00
10
10
00
10
00
10
10
01
10
10
01
11
00
01
10
00
10
10
10
00
10
00
10
10
10
10
10
00
10
10
01
10
00
00
11
01
00
10
10
01
00
00
10
11
01
01
10
10
10
10
00
11
01
01
10
01
10
00
10
10
10
00
00
10
01
00
00
01
00
10
00
10
01
11
10
10
00
00
11
01
00
10
00
10
10
11
11
00
00
01
00
00
01
10
01
10
00
00
11
00
00
11
11
10
11
00
11
11
01
11
10
00
01
01
10
11
01
00
01
10
00
00
01
10
01
11
11
00
01
10
11
01
00
01
10
10
01
00
11
00
10
10
01
10
00
10
11
01
00
10
10
00
00
00
11
01
00
10
00
10
00
00
01
10
11
10
11
01
10
01
00
01
10
11
10
10
11
00
10
10
10
00
00
00
00
10
11
00
11
10
11
10
10
10
10
10
00
00
00
00
01
00
00
10
11
00
01
01
10
11
00
01
10
10
10
10
00
01
00
00
10
10
00
10
10
00
01
10
10
00
00
10
00
11
10
10
10
01
01
10
10
10
10
00
01
00
10
10
00
00
10
10
10
00
11
00
00
00
10
11
11
00
10
11
10
01
00
10
00
10
01
00
00
11
10
10
00
10
10
11
11
00
00
10
00
00
10
10
10
00
01
10
11
11
10
10
01
00
10
10
00
11
10
10
00
00
00
10
10
10
11
00
00
00
00
01
10
00
11
01
00
10
11
10
10
00
00
10
00
11
01
00
00
10
01
00
01
10
10
01
11
10
10
10
00
10
11
10
01
11
01
01
00
10
01
01
00
01
01
01
00
00
10
11
00
10
10
00
00
00
01
10
11
11
10
10
10
10
01
11
11
00
11
00
11
11
01
00
10
11
01
10
11
10
00
00
11
10
00
10
10
00
00
10
01
00
00
01
10
11
01
11
11
00
00
11
01
01
11
10
11
01
10
00
10
01
01
00
10
11
10
00
01
01
00
10
10
11
11
11
10
10
10
01
00
10
01
01
10
01
01
10
10
00
00
10
00
01
10
01
00
01
11
00
10
00
10
10
10
00
00
11
10
00
10
00
11
01
01
00
10
10
01
11
10
10
00
11
11
11
10
10
00
00
01
00
01
10
00
00
00
01
10
00
01
00
10
11
01
10
10
00
11
01
01
01
10
00
01
10
11
10
01
10
01
00
00
10
10
10
01
10
10
10
00
01
10
00
00
10
01
00
11
10
01
00
10
01
00
10
00
10
10
10
10
11
00
00
01
00
00
01
00
01
10
11
00
01
01
11
11
00
10
10
01
00
11
00
00
11
11
11
01
11
10
10
11
00
00
11
10
01
10
00
01
00
10
01
00
11
10
10
00
00
11
00
01
11
10
01
00
10
10
01
10
00
00
11
00
00
10
10
10
01
11
10
00
10
10
10
10
00
00
00
00
10
00
10
00
10
11
00
11
10
00
11
11
10
00
00
11
00
00
10
10
00
00
01
00
11
10
00
00
10
10
01
00
11
00
01
00
10
10
01
11
01
01
11
01
10
11
01
00
10
10
00
10
10
00
01
10
11
10
00
10
01
11
01
11
11
00
10
01
00
11
10
00
01
10
01
10
00
10
11
01
10
10
00
11
11
00
00
10
10
10
00
00
10
10
10
00
11
11
10
01
00
01
00
10
10
00
01
10
01
00
00
10
01
10
10
00
00
01
10
10
10
10
00
10
11
00
11
10
00
11
11
01
00
00
10
10
00
00
01
01
10
10
00
00
00
01
01
11
11
00
01
11
00
01
10
10
00
00
10
01
01
10
10
00
11
00
00
01
10
11
00
10
10
00
11
10
10
00
01
10
10
11
00
00
10
01
10
10
00
01
01
10
10
01
11
01
10
10
00
00
00
01
10
10
00
01
10
10
10
11
10
00
00
01
01
11
11
10
00
11
10
10
10
00
00
01
10
10
00
10
00
01
00
10
11
10
00
00
00
00
10
10
11
10
10
01
10
01
10
01
01
00
00
11
11
00
01
10
00
01
00
01
11
00
10
00
10
00
01
10
01
01
10
00
00
10
10
01
00
00
10
00
11
10
11
10
11
10
11
10
11
00
01
10
10
11
00
11
10
00
00
01
01
10
10
00
11
00
10
11
01
10
10
10
10
10
00
01
01
11
10
01
00
01
00
01
10
10
01
00
00
01
01
10
11
00
11
10
10
00
01
10
11
11
00
00
10
00
00
00
00
10
10
00
10
11
10
10
01
00
00
10
00
01
10
00
11
00
01
00
10
01
01
10
11
01
00
11
11
10
00
01
10
00
11
00
00
11
00
10
10
00
10
01
00
10
10
00
00
00
00
10
10
00
01
10
10
11
10
00
11
10
00
11
10
11
00
10
11
10
00
00
01
00
00
11
10
01
00
11
00
01
10
01
11
10
10
00
01
00
01
10
01
00
10
00
11
01
00
11
10
10
00
00
10
10
00
01
10
10
00
11
01
00
00
10
11
10
00
10
00
10
00
11
10
01
10
10
10
00
10
11
11
00
00
10
10
00
00
10
10
00
00
11
10
10
00
01
10
10
00
11
11
11
00
00
10
10
11
00
10
10
10
00
11
11
10
00
01
00
01
00
10
00
11
00
00
01
10
10
00
11
00
00
10
11
10
00
11
01
00
01
00
10
10
00
10
10
10
00
00
01
11
10
00
10
10
11
01
01
11
10
10
01
00
10
00
00
10
10
01
10
00
11
10
10
00
11
10
00
10
10
00
00
11
11
11
10
10
01
00
10
01
10
10
01
10
11
10
10
00
10
00
10
10
01
11
10
01
01
00
01
11
01
00
10
10
00
11
10
00
10
10
10
10
10
10
00
01
00
00
01
11
11
01
11
10
01
01
10
11
00
10
10
01
00
10
00
00
00
11
00
00
10
11
00
11
00
10
11
10
01
01
10
11
01
00
00
00
00
01
10
10
11
00
11
01
11
10
00
00
01
10
10
01
00
10
10
00
11
00
00
10
10
01
01
10
00
01
11
11
00
10
10
10
10
11
00
11
11
01
11
10
10
00
01
10
11
00
00
00
00
10
00
00
11
01
00
00
00
00
00
00
11
10
00
11
11
00
00
00
10
01
10
10
01
00
10
10
00
10
10
00
00
01
10
00
00
10
01
00
00
10
00
01
00
00
01
10
11
11
01
00
00
10
01
01
11
00
00
01
10
00
10
00
00
11
00
10
00
10
10
01
10
00
00
00
00
10
11
00
10
10
11
10
11
00
01
01
00
00
10
00
00
11
01
10
01
01
00
10
11
11
00
00
10
11
00
11
10
01
10
01
00
10
10
00
00
10
11
00
00
10
11
00
10
10
10
10
11
00
00
11
11
01
00
10
00
00
01
10
10
00
00
00
11
10
01
11
00
11
00
00
11
11
00
10
01
10
11
00
00
11
00
10
10
10
10
11
10
01
10
10
00
00
00
01
01
10
11
00
11
11
11
10
10
00
00
00
11
00
00
11
10
10
00
01
00
10
00
00
00
01
00
10
10
10
11
00
00
10
00
00
00
10
10
11
10
01
00
10
01
11
00
11
00
00
11
10
11
00
00
10
00
01
11
10
01
00
10
00
10
10
01
11
11
00
10
10
00
00
10
00
00
10
11
11
10
10
10
10
10
10
00
11
00
01
10
11
10
01
00
01
00
10
00
00
10
10
10
01
01
11
11
00
00
11
10
00
01
10
11
10
10
00
01
10
10
00
00
10
01
00
11
11
01
01
00
11
10
10
00
11
01
10
10
01
10
00
11
11
00
10
10
00
10
11
10
11
01
00
00
00
11
10
11
01
01
00
00
00
00
11
10
01
00
10
11
10
00
01
10
10
00
00
00
11
10
00
10
00
11
10
00
01
00
11
10
11
00
01
00
10
10
10
10
00
00
10
10
11
10
11
10
00
11
11
10
00
00
11
01
00
00
00
01
00
10
11
10
00
11
11
00
10
10
01
00
00
00
00
00
10
11
00
00
00
10
00
10
01
11
01
10
00
00
10
00
10
10
00
00
01
00
00
10
10
10
00
11
11
01
00
00
10
01
10
01
00
10
11
00
10
11
00
00
10
10
00
10
01
00
00
11
11
01
10
11
00
11
10
01
11
10
11
01
10
11
01
10
10
10
11
01
10
11
01
00
10
11
01
00
00
10
00
00
10
11
10
01
10
01
00
00
01
00
10
10
11
01
00
10
11
00
00
01
10
10
10
10
00
10
10
10
11
01
00
00
11
10
00
01
10
00
00
01
00
01
00
10
00
00
01
00
11
11
10
00
10
10
00
00
10
10
10
10
10
11
00
00
00
01
00
00
00
10
00
00
11
10
11
00
00
00
00
00
00
00
10
00
10
01
10
00
01
11
00
01
10
01
11
00
01
11
01
00
10
10
00
11
11
00
00
00
10
00
11
00
00
11
11
10
00
00
10
10
01
00
00
00
01
11
10
00
10
00
00
10
00
10
10
10
00
10
10
11
00
11
00
00
10
11
11
00
00
00
00
11
01
10
10
11
00
11
00
11
00
10
00
11
00
01
10
10
00
00
10
10
00
01
01
01
00
11
00
10
00
01
11
10
10
00
00
00
11
10
10
11
10
01
10
01
00
10
00
01
10
10
01
01
11
01
10
10
01
00
00
00
10
10
00
00
11
10
01
11
01
11
10
01
11
01
01
00
11
10
01
01
00
10
10
00
00
00
00
11
11
10
11
10
11
00
11
00
11
00
01
00
10
01
11
01
10
10
01
00
11
10
00
10
00
00
10
00
10
00
01
10
11
00
00
11
10
00
01
01
10
00
01
11
11
01
10
00
00
00
11
01
10
10
10
10
10
11
10
01
00
10
01
10
01
01
00
00
10
11
10
01
00
10
10
10
11
10
10
01
00
11
01
00
10
10
11
00
11
01
00
10
10
01
00
10
00
01
11
10
10
00
00
01
10
00
11
10
01
10
11
11
10
01
00
10
11
01
00
10
01
10
11
10
10
00
10
11
00
10
01
10
11
00
01
00
11
10
11
10
00
00
10
00
10
01
00
10
01
00
10
00
00
10
00
00
01
01
00
10
10
11
00
00
10
10
00
00
10
11
00
11
10
10
10
10
01
00
01
10
10
10
11
01
00
00
00
11
10
10
00
01
11
00
10
10
11
00
01
00
01
11
01
01
10
11
11
00
11
01
00
11
00
00
11
00
00
10
01
11
11
10
10
00
01
10
00
01
11
11
01
01
01
11
11
10
00
00
11
10
00
00
10
10
00
00
10
01
10
11
00
10
10
00
00
00
00
11
11
00
00
00
00
00
00
10
10
10
01
00
10
00
10
10
00
10
00
10
11
01
00
00
10
00
10
01
10
10
01
10
01
00
00
10
11
10
00
10
11
00
00
10
10
11
11
10
00
11
10
10
01
11
10
01
00
01
10
11
00
10
10
00
10
10
00
00
10
00
10
00
00
00
10
11
10
01
00
00
00
01
10
00
00
10
00
00
10
10
10
10
00
10
10
10
11
00
10
00
01
11
01
11
11
00
00
11
00
00
11
11
01
11
00
01
00
01
01
00
10
10
01
10
10
00
01
10
00
00
10
00
01
10
11
10
01
01
00
00
01
11
10
11
00
00
00
10
10
11
01
01
00
00
10
10
10
00
10
10
10
10
00
00
10
00
10
10
10
10
00
00
11
01
00
11
00
00
11
00
01
10
01
00
10
00
10
10
01
10
10
00
00
00
00
01
10
10
01
01
11
01
00
10
01
00
00
00
11
10
01
11
01
10
01
00
11
11
01
00
11
11
01
00
00
01
11
00
01
10
10
10
10
00
00
10
10
11
11
01
10
00
10
00
01
00
11
10
01
11
00
01
10
11
00
00
10
10
11
00
10
10
10
00
00
00
10
01
10
11
10
00
10
11
00
01
01
00
10
00
00
01
00
10
00
01
10
00
10
00
00
01
10
10
10
01
00
10
00
00
00
01
00
11
00
00
00
10
11
11
10
00
00
00
00
00
10
10
10
10
00
00
01
10
11
00
11
11
00
01
10
00
01
10
11
11
10
01
11
00
01
11
11
00
00
10
10
01
00
10
10
00
01
11
00
01
10
00
00
10
01
00
01
00
01
11
00
11
10
00
10
00
01
10
10
00
10
10
00
11
10
11
10
01
00
10
10
00
00
10
00
10
10
10
00
10
10
01
00
00
11
11
10
01
00
11
00
11
00
01
10
10
10
00
00
01
10
10
10
00
00
11
10
00
10
10
10
00
10
11
01
11
00
11
01
10
11
00
10
11
10
00
01
10
11
00
01
10
01
10
00
10
00
10
10
00
11
10
01
00
00
00
11
10
11
01
01
10
00
00
01
11
10
00
00
10
11
10
01
00
10
11
11
10
00
10
10
00
10
01
10
10
00
11
00
01
01
10
10
00
01
11
11
00
00
00
00
00
01
10
11
11
00
10
01
11
10
11
00
00
00
11
11
01
11
10
01
00
11
01
10
11
10
00
01
10
00
10
10
00
01
00
10
01
01
10
00
10
11
01
01
10
10
00
01
10
00
11
10
00
11
00
01
10
10
00
11
10
11
11
00
11
00
01
10
01
00
10
00
00
00
10
10
01
10
00
10
00
00
01
01
10
01
00
00
00
01
11
11
11
01
01
01
11
10
01
00
10
10
00
01
10
10
00
00
00
01
01
00
11
10
00
10
10
01
10
01
01
11
10
10
11
00
00
10
01
01
00
00
10
00
01
10
01
00
00
11
11
10
10
01
01
00
01
00
10
10
11
11
00
00
10
11
10
10
00
00
11
00
10
10
10
11
10
00
11
00
00
10
00
10
11
10
10
00
10
01
00
00
00
10
10
00
10
11
00
00
11
10
10
10
01
00
11
01
11
10
00
01
00
10
11
10
01
00
00
10
11
01
11
11
00
10
10
10
10
01
10
10
01
11
10
01
00
00
01
11
11
11
11
00
10
10
11
01
00
11
00
11
00
10
10
01
00
10
00
01
01
10
10
00
00
01
00
10
00
01
10
00
00
11
01
00
10
11
00
10
01
10
11
10
01
01
00
11
10
10
00
00
10
00
11
10
10
00
00
10
10
00
00
10
01
00
10
11
10
01
10
10
01
01
10
00
11
00
00
00
10
00
01
01
00
01
01
10
10
00
10
10
00
00
11
11
00
10
01
00
11
10
10
00
00
10
00
10
10
00
10
00
00
10
00
00
10
10
00
10
00
10
11
10
11
01
01
10
10
10
01
00
10
01
00
00
10
00
01
01
10
11
10
00
11
11
11
01
11
00
01
11
00
11
10
00
01
10
00
10
10
00
00
10
00
01
11
10
01
11
00
00
10
10
00
00
11
01
01
00
10
00
01
01
10
10
01
10
10
01
00
00
01
10
01
00
01
10
11
10
11
00
10
01
01
00
00
11
10
11
10
00
11
10
01
00
00
10
10
10
01
00
10
00
00
00
00
11
00
11
00
00
00
11
01
01
00
00
01
00
00
11
10
00
10
10
00
10
11
10
10
01
10
00
01
10
10
00
00
00
01
01
10
01
00
11
11
00
01
00
01
11
11
11
00
01
10
10
01
00
10
01
10
10
10
00
01
00
10
10
01
10
00
11
10
01
10
00
00
00
10
11
00
00
11
10
10
01
11
10
10
00
00
00
00
10
01
00
10
01
00
01
00
10
11
10
11
10
10
00
11
10
00
00
10
10
11
00
00
11
01
00
11
00
10
10
01
11
00
01
11
11
00
00
00
00
00
10
10
10
10
00
11
11
01
10
11
10
00
10
10
00
11
10
00
00
10
00
10
10
10
11
00
01
10
00
00
10
11
00
00
11
10
11
11
11
10
00
00
00
00
10
10
00
00
00
00
11
00
10
10
10
00
00
10
00
10
00
00
00
00
11
01
00
01
11
01
00
11
11
00
00
10
01
00
00
10
00
10
11
10
11
10
10
00
10
01
00
10
11
10
10
00
00
10
10
11
00
10
11
01
00
10
11
01
10
10
11
00
01
10
00
10
11
10
01
10
01
01
00
00
11
10
11
00
00
10
10
10
01
00
10
00
11
11
10
00
10
11
00
00
10
00
00
10
10
10
10
01
11
01
00
10
00
10
00
01
00
10
01
00
00
01
10
01
10
10
11
10
00
00
10
11
01
10
11
11
11
00
00
10
00
01
11
01
00
01
10
11
00
00
11
10
00
01
00
10
10
00
00
00
11
10
01
10
01
10
11
00
11
11
00
00
10
11
00
10
10
10
10
00
01
01
10
10
10
10
00
10
10
10
01
00
00
10
00
00
00
01
10
00
01
11
01
00
10
01
01
10
10
10
00
10
10
00
11
00
11
10
00
10
01
00
00
10
10
00
10
11
00
10
01
10
10
10
00
00
00
11
00
01
00
00
10
10
11
00
00
10
10
00
00
11
00
00
10
11
01
11
11
10
10
01
10
10
00
00
01
00
11
00
10
10
10
10
00
10
00
00
11
10
00
00
10
10
00
10
11
01
11
10
00
10
01
00
00
01
10
00
00
10
00
11
10
01
10
00
00
10
11
11
10
00
10
10
10
00
00
11
10
10
00
00
00
11
10
11
00
00
01
00
10
00
10
10
00
01
01
00
01
00
10
10
10
01
10
10
11
11
01
10
11
00
11
00
11
10
00
01
10
11
00
10
10
10
11
01
00
00
00
00
01
10
00
00
01
10
00
00
11
10
11
00
10
11
01
11
01
00
00
11
00
11
01
10
11
11
10
10
11
00
01
10
10
01
11
10
01
01
00
01
10
10
00
00
11
11
00
00
10
11
10
00
00
10
10
10
01
01
11
11
00
10
00
00
11
10
00
01
10
01
10
01
11
11
10
11
01
10
11
10
10
00
00
10
01
00
10
00
00
11
01
10
01
00
00
10
11
01
00
10
11
00
10
01
00
11
01
10
01
00
00
11
10
01
10
11
01
00
10
10
11
00
10
00
00
01
10
01
00
00
11
01
01
10
10
00
01
10
11
00
01
11
10
00
00
10
10
00
00
00
01
01
00
00
00
11
11
00
11
11
00
00
10
01
11
10
00
10
01
01
00
00
11
00
10
01
01
10
10
00
10
11
10
00
00
10
10
10
10
10
11
01
10
00
01
00
10
11
00
01
00
10
10
10
00
10
11
01
10
00
01
11
00
00
10
11
10
10
10
00
01
10
10
00
00
00
11
00
00
01
11
11
01
10
10
11
10
00
11
10
10
10
11
00
10
00
00
11
10
01
10
10
00
01
11
11
10
00
01
11
00
10
10
00
00
10
11
01
01
10
00
10
00
00
11
00
11
10
00
10
11
00
11
11
01
11
01
01
10
10
10
01
00
10
00
01
10
10
11
10
01
11
10
00
10
11
10
00
00
00
10
10
00
10
00
10
00
00
01
00
11
10
01
10
10
01
00
00
10
00
01
10
11
01
01
11
00
10
10
01
00
10
01
00
11
11
10
01
00
00
10
00
00
10
10
01
10
10
10
00
10
00
00
10
10
00
00
10
00
10
00
10
00
01
10
11
00
01
11
11
01
00
10
11
01
10
11
00
11
11
10
00
10
10
00
01
11
01
00
00
00
00
00
00
10
10
01
10
10
01
10
10
11
10
00
10
01
00
01
10
01
10
00
11
00
00
10
11
00
00
10
10
11
10
01
01
01
11
01
10
00
10
10
00
10
10
00
00
11
00
00
00
10
10
11
01
00
00
00
00
00
00
11
00
00
10
11
11
10
10
01
00
11
00
11
01
00
00
00
00
10
00
00
00
11
10
00
11
11
00
00
01
00
10
10
00
11
01
01
11
11
01
00
10
00
00
10
10
00
00
01
10
11
00
10
00
00
00
00
10
11
01
11
00
00
10
00
11
11
11
00
01
00
00
00
01
00
10
01
01
00
00
00
00
11
00
10
00
10
11
11
00
00
01
11
01
10
00
10
10
11
10
01
01
01
00
01
10
10
01
00
10
00
10
10
01
01
11
11
10
01
11
00
10
11
01
00
00
11
10
10
00
00
10
00
10
01
11
01
10
11
10
00
00
10
11
00
00
11
10
00
10
00
01
00
10
00
10
10
10
00
01
00
10
10
00
11
01
00
01
00
10
00
00
10
10
01
00
10
10
10
00
10
00
11
00
01
01
10
10
00
10
00
00
11
10
10
00
11
10
01
00
10
00
00
00
01
10
00
10
01
01
00
00
10
10
11
00
01
11
10
01
10
00
01
10
10
00
00
10
10
00
01
00
00
01
10
11
00
00
10
00
01
10
11
00
10
10
00
01
01
10
10
10
11
00
00
01
00
11
10
11
00
00
00
11
00
11
01
01
00
00
00
11
10
01
10
10
01
10
11
10
01
01
11
11
00
00
10
11
00
01
11
00
01
01
11
11
00
01
00
10
11
10
10
01
00
10
11
00
10
00
00
10
10
11
00
10
10
00
10
11
00
01
10
01
00
11
11
11
10
00
00
10
10
00
00
10
10
11
01
01
01
11
11
10
11
00
11
11
00
01
00
11
10
00
11
00
00
10
10
00
11
11
01
10
10
11
01
00
10
10
00
00
00
11
11
10
10
10
00
00
00
01
00
11
11
11
00
00
10
10
11
01
01
10
10
10
00
10
00
10
11
00
00
10
00
10
11
00
10
11
00
10
11
10
00
00
10
01
00
01
00
01
10
11
10
00
10
00
10
10
10
00
10
10
01
10
00
00
01
10
00
00
10
10
11
01
00
11
11
10
10
00
10
00
11
10
00
11
00
11
00
10
10
00
11
10
01
00
00
01
11
00
00
00
10
11
00
01
10
10
11
10
10
10
10
00
11
10
10
11
01
00
01
10
00
11
00
10
11
00
01
10
01
01
01
01
01
10
10
11
00
10
10
10
00
10
00
00
01
11
10
10
10
00
00
10
10
01
00
01
00
11
00
11
10
00
11
10
11
00
00
11
01
10
01
10
10
10
01
00
11
00
01
01
10
11
00
00
10
10
00
00
00
11
10
10
10
00
01
11
11
00
01
01
10
00
00
11
10
10
00
10
10
01
10
00
11
00
11
10
10
10
01
00
00
11
10
11
00
00
01
00
11
11
01
01
11
10
10
10
00
00
00
00
11
11
10
00
00
10
00
11
01
01
10
10
11
10
00
00
10
10
00
00
00
10
10
10
00
10
00
11
01
00
10
11
10
00
10
10
10
00
00
00
01
01
00
11
11
10
01
00
11
10
01
00
10
11
00
10
10
10
00
01
10
10
01
01
00
00
00
11
00
11
10
10
11
00
01
11
10
00
00
00
11
10
00
11
10
00
10
01
01
00
10
10
11
10
00
00
10
10
01
00
10
00
00
10
11
00
11
10
11
11
10
00
00
10
00
10
10
11
11
01
10
10
00
01
10
00
11
11
00
00
01
10
00
00
00
10
10
11
01
00
10
10
11
10
01
11
11
00
00
10
10
10
00
00
11
00
00
10
10
11
01
10
10
10
01
11
00
10
10
10
10
10
00
10
10
00
00
00
11
10
01
00
10
10
10
00
01
10
10
00
01
10
10
00
10
00
00
01
00
01
10
00
10
00
11
10
11
00
00
00
01
01
01
10
10
00
01
10
01
10
00
11
00
10
10
00
00
00
00
00
10
00
01
10
10
01
01
00
10
10
10
10
10
01
00
01
00
10
10
10
11
00
01
00
10
01
01
10
00
00
10
10
10
10
11
01
00
11
10
10
11
01
01
10
11
01
10
10
10
00
01
11
10
10
01
01
00
00
01
10
11
01
01
00
00
10
10
00
00
10
01
10
10
00
01
01
10
10
10
01
00
01
10
10
00
10
00
01
10
10
01
11
11
00
10
00
01
10
11
00
00
11
10
11
11
10
00
00
00
10
10
00
00
11
10
01
00
11
11
11
01
00
00
10
00
01
10
11
10
00
00
11
01
10
01
11
10
10
00
00
01
10
11
11
10
01
00
11
11
11
01
10
00
10
01
00
00
11
11
00
11
00
00
00
11
10
10
00
00
10
00
10
10
00
10
00
01
10
11
10
00
00
01
11
10
00
00
10
01
10
11
10
01
11
01
01
10
10
00
11
10
10
00
00
01
00
00
10
10
00
00
11
11
10
10
00
10
01
10
10
00
01
11
10
00
10
11
01
00
00
01
00
01
10
10
10
01
00
10
10
00
01
10
00
00
01
10
11
10
11
00
11
10
00
10
00
00
00
01
11
00
10
10
11
10
01
01
01
11
11
11
10
10
00
00
10
10
11
00
00
00
01
10
10
00
10
00
00
10
01
01
10
10
11
00
00
10
10
10
10
00
10
11
11
10
01
00
00
01
01
10
10
10
10
10
10
00
00
00
10
11
10
10
00
00
10
11
10
10
01
10
01
01
01
10
10
01
01
11
10
01
01
11
10
10
00
00
00
11
11
00
00
00
00
00
00
10
10
00
01
11
01
00
10
00
01
01
01
00
10
10
10
01
10
11
00
10
11
00
00
00
00
11
10
01
10
00
11
10
11
00
01
01
01
00
00
10
10
10
00
01
10
10
10
10
00
10
10
00
00
11
00
11
01
00
10
11
01
11
00
00
01
00
10
10
10
10
10
11
10
10
00
00
00
11
10
10
11
10
10
10
01
00
00
00
11
10
10
10
00
11
10
10
11
10
01
01
00
11
10
00
00
11
11
01
00
00
10
01
00
11
10
01
10
01
01
10
11
00
10
00
11
10
00
00
10
10
10
01
11
10
00
10
10
10
10
00
00
11
11
00
11
10
00
10
01
10
00
00
11
00
10
11
11
01
00
00
01
01
10
10
10
11
11
00
00
00
01
11
01
11
10
11
10
00
00
01
10
00
01
11
11
11
00
10
10
10
01
01
10
00
10
10
00
10
01
11
00
11
11
01
01
11
10
10
00
01
01
11
00
00
10
10
10
00
01
10
10
00
10
00
00
00
00
10
10
00
10
00
00
00
10
10
10
01
00
10
00
10
01
10
10
00
00
10
11
00
10
10
10
10
00
11
10
10
01
10
10
10
01
01
10
10
01
11
11
11
00
01
00
10
00
01
00
11
11
00
11
01
11
10
10
10
00
11
01
00
00
01
00
00
11
11
10
10
00
00
00
10
00
10
10
10
00
00
10
00
11
00
10
10
10
11
01
00
00
11
01
00
11
00
00
10
01
10
00
01
00
01
11
10
11
10
01
01
00
11
10
10
00
01
10
10
01
00
10
00
10
00
00
10
00
10
11
11
11
01
10
10
01
10
10
10
00
10
01
00
01
10
11
01
00
00
10
01
00
10
11
00
00
10
01
10
10
10
00
11
10
00
00
11
10
10
11
00
10
11
00
01
11
01
00
01
11
10
10
00
00
00
10
11
00
11
10
10
00
10
10
11
10
00
10
01
10
10
00
00
10
11
11
00
10
11
00
01
00
00
10
11
00
00
00
10
10
01
00
01
10
11
11
00
01
10
00
11
01
00
11
10
10
00
00
10
00
10
10
00
10
10
01
01
00
10
01
00
00
10
10
10
01
11
11
01
10
11
10
11
10
01
01
10
10
01
10
10
10
00
00
10
10
01
10
11
00
00
10
10
01
10
01
00
00
11
11
01
10
00
11
00
10
11
00
01
10
10
00
00
10
00
01
10
01
01
00
11
10
10
01
00
10
00
01
10
01
00
10
01
10
01
01
01
10
00
10
10
10
00
10
10
10
01
10
11
00
10
10
10
00
10
10
00
00
10
11
00
00
00
10
00
00
01
01
10
11
00
10
10
01
00
11
01
10
10
00
00
00
10
01
00
00
10
10
01
10
11
11
10
10
00
10
11
01
01
01
00
10
00
01
10
11
00
10
10
00
10
10
11
01
00
11
01
00
11
00
00
00
10
11
11
00
00
11
10
00
00
00
10
11
00
11
00
00
00
10
00
00
10
10
00
10
10
10
10
10
10
00
11
00
01
00
01
11
11
00
11
11
10
01
00
10
01
00
10
01
00
00
11
01
11
10
00
10
00
01
00
11
10
00
01
10
10
00
00
10
10
10
00
10
11
10
00
00
10
10
11
00
00
10
10
11
10
00
10
11
11
10
10
00
00
11
10
00
00
10
00
11
10
11
00
11
10
11
10
00
00
01
00
10
10
11
00
01
00
11
10
00
10
01
01
10
00
00
11
01
01
11
10
00
01
00
10
11
00
00
00
11
10
10
00
10
10
01
00
11
00
01
10
00
01
11
10
01
11
10
10
00
10
01
01
00
00
10
00
10
11
10
10
11
00
01
00
00
10
00
00
01
00
10
01
00
00
10
00
00
00
10
00
00
00
00
10
11
00
00
01
11
00
01
01
10
01
01
11
01
10
11
01
10
00
00
11
00
01
10
10
10
01
00
01
00
00
10
10
10
00
01
10
11
10
00
01
11
11
11
10
11
00
00
01
00
10
10
00
00
10
10
10
10
10
01
00
01
10
00
00
11
01
00
11
00
00
10
10
10
00
00
10
11
10
10
10
00
00
11
10
01
01
10
01
10
10
11
11
01
00
00
11
11
10
00
10
11
00
11
11
01
01
10
01
10
00
01
01
11
10
01
11
10
11
11
01
00
00
00
01
00
10
10
00
10
00
01
10
10
00
00
10
11
10
11
00
10
00
00
10
00
10
10
00
11
10
01
00
11
00
01
10
00
00
11
11
00
01
10
00
00
10
10
10
10
01
01
10
00
00
10
10
10
01
00
11
10
10
10
00
10
10
11
01
01
00
11
10
10
00
01
11
10
10
01
10
00
11
11
01
11
00
00
11
10
11
01
01
10
01
10
00
10
10
01
00
00
11
10
00
10
10
11
10
11
00
01
00
10
10
00
01
10
11
00
01
10
00
10
10
00
00
01
11
11
11
00
00
10
10
11
00
01
10
11
10
01
00
10
11
00
10
00
00
00
10
10
10
10
00
10
11
10
10
01
00
10
11
00
10
01
00
10
11
00
00
00
00
00
10
10
10
00
01
00
00
10
10
00
11
10
00
11
11
10
01
11
10
00
00
00
10
00
00
00
00
10
10
00
11
10
00
10
10
01
00
00
01
00
10
00
11
10
00
01
10
10
10
10
00
10
10
00
00
00
00
11
11
00
11
00
00
10
10
11
10
00
00
01
11
00
10
10
10
00
10
01
01
10
00
00
11
10
11
00
00
11
00
01
11
01
00
10
10
01
01
10
10
01
00
10
11
00
11
11
11
10
01
01
11
11
00
00
10
00
11
11
00
00
00
11
00
00
10
10
00
00
00
11
11
00
01
11
10
11
00
10
11
00
00
11
10
00
00
10
00
01
00
10
10
11
00
00
10
00
00
01
00
11
00
10
00
00
10
10
10
01
11
11
11
01
00
10
11
10
00
01
01
00
10
11
11
11
01
00
11
10
11
00
10
00
00
01
10
10
00
10
10
00
10
00
10
10
11
11
10
10
00
11
10
00
00
10
10
00
10
10
10
11
10
11
00
00
10
00
00
00
10
11
11
00
00
00
11
00
00
11
11
00
01
11
01
10
11
00
00
00
11
11
10
10
00
10
00
01
10
10
00
00
01
10
10
00
11
11
01
01
00
11
10
10
01
01
00
11
10
01
01
11
00
00
10
10
10
00
00
10
11
10
00
11
10
10
01
10
00
11
11
10
00
00
11
01
00
10
10
01
10
11
00
01
11
11
10
01
11
10
10
00
00
00
00
00
00
00
11
00
10
11
00
11
10
00
11
10
00
10
10
01
11
11
00
10
10
10
11
10
11
00
11
10
11
00
10
01
00
10
11
10
00
00
10
10
00
10
10
00
00
00
10
10
00
10
11
10
10
10
10
10
00
00
01
01
11
00
00
10
10
01
11
01
00
10
10
10
00
01
00
10
10
10
00
00
10
01
01
00
10
01
00
11
11
10
00
10
00
00
01
10
11
00
10
01
01
00
11
00
00
11
00
10
11
00
00
01
10
10
00
01
00
00
10
10
00
10
10
10
10
00
01
00
00
10
11
10
00
10
10
01
01
01
10
10
10
11
00
01
00
10
10
11
10
00
10
11
00
00
00
10
11
01
00
10
00
00
11
01
01
00
10
10
10
00
10
00
11
10
10
01
10
10
10
10
10
00
01
10
01
00
00
10
10
01
10
00
00
10
01
00
01
11
10
00
10
11
00
10
00
00
10
10
10
01
01
01
00
11
10
00
11
10
00
00
01
11
01
00
11
00
01
11
10
01
00
01
10
01
00
01
11
10
00
11
11
00
10
10
10
00
10
10
00
00
01
10
01
11
10
00
01
00
00
01
11
10
11
01
11
10
00
00
00
10
10
10
10
01
01
10
10
00
11
00
00
00
10
10
00
11
01
10
00
00
01
00
00
01
01
11
10
00
01
01
01
10
11
10
00
10
00
01
10
01
01
00
11
10
00
10
00
00
11
00
00
00
11
11
10
10
10
00
11
01
00
01
11
00
01
00
11
10
10
00
00
10
11
01
00
10
11
01
10
11
01
01
10
01
00
10
11
00
00
11
10
11
10
00
00
01
00
11
10
01
00
10
00
00
10
10
11
01
00
01
10
11
00
10
11
00
01
10
01
00
11
10
00
00
10
10
10
11
00
01
00
10
00
00
01
00
00
00
10
10
01
01
11
10
11
10
00
00
01
00
10
01
10
10
10
01
10
11
11
00
00
10
00
10
10
10
00
00
10
00
00
11
00
11
10
00
00
01
11
00
00
10
00
11
00
10
00
01
10
00
00
01
00
00
01
01
00
10
00
10
11
00
10
10
00
00
10
00
00
10
00
01
11
10
00
00
10
10
01
10
10
00
00
00
01
10
10
01
00
10
00
00
10
00
00
11
10
00
10
10
00
00
10
10
01
01
11
00
00
11
01
00
00
11
11
00
01
00
00
00
10
11
00
01
10
00
00
11
10
10
10
01
00
10
01
00
11
00
00
11
10
11
10
01
10
10
10
11
01
10
10
10
11
11
10
01
10
11
11
10
01
11
10
10
10
00
01
10
10
10
00
01
11
10
01
10
10
10
11
10
10
01
11
00
10
10
01
00
11
10
11
11
00
11
00
11
00
10
10
10
00
00
10
00
00
11
00
00
00
11
00
01
10
10
00
00
11
00
10
11
10
11
00
10
00
00
11
00
10
10
11
11
00
01
10
01
10
01
00
10
11
00
01
10
00
00
01
00
01
11
11
11
01
10
10
10
00
00
11
10
00
01
11
10
01
10
00
10
00
00
11
11
00
01
10
11
00
01
10
11
00
10
10
00
00
11
00
01
00
10
10
10
00
11
11
00
11
01
10
01
10
00
00
11
01
11
11
00
11
11
00
10
10
01
10
11
00
10
10
10
01
00
10
11
01
00
10
11
10
11
00
00
00
10
01
00
00
10
10
01
01
10
01
10
00
00
00
10
10
10
00
00
10
00
11
00
00
00
10
00
00
00
10
00
01
10
00
00
11
10
10
10
00
00
00
10
11
00
00
11
01
00
01
00
10
01
10
00
10
01
00
00
10
00
11
10
00
00
11
11
11
01
00
10
00
11
01
01
10
00
00
10
11
01
00
00
00
10
00
01
10
10
00
10
00
10
11
00
00
11
00
01
11
00
01
01
00
10
11
10
11
00
00
00
00
00
11
00
10
10
11
00
10
10
00
01
10
00
11
10
00
01
00
00
11
01
10
10
00
00
11
00
10
10
00
01
00
11
01
11
10
00
10
00
11
10
11
01
10
10
11
00
00
11
00
00
10
10
00
11
00
11
11
00
10
10
10
11
10
00
01
10
11
00
00
10
10
00
00
00
11
00
10
10
00
10
10
00
00
10
10
10
00
01
10
10
10
00
11
01
10
01
00
10
10
10
11
00
00
11
10
00
01
01
10
01
10
00
00
10
00
00
00
10
00
00
11
00
00
00
00
10
00
10
10
10
01
11
10
10
00
00
01
01
10
00
00
10
10
01
00
00
10
10
01
00
00
10
00
00
01
00
10
01
10
01
10
01
00
00
10
00
00
10
10
11
00
01
10
10
10
11
10
01
00
10
10
10
00
00
10
11
11
10
11
10
11
01
10
00
11
10
00
10
01
01
11
10
00
01
10
10
10
00
01
00
01
10
10
10
01
11
10
00
00
11
10
00
10
10
00
01
10
00
01
10
00
11
01
01
11
10
00
10
10
00
00
11
10
11
01
10
00
11
10
00
00
00
00
10
00
10
10
01
00
11
00
10
10
11
00
11
10
01
01
11
01
10
10
01
10
10
01
00
10
11
00
11
00
10
10
00
10
00
10
11
00
01
00
00
10
11
00
11
01
01
11
00
01
01
11
11
00
01
11
00
00
11
11
11
10
00
00
10
01
10
00
00
01
10
11
00
10
01
01
10
10
11
00
11
01
00
10
00
00
00
10
10
00
01
10
00
11
11
11
00
11
10
10
00
00
00
10
10
01
00
10
00
00
10
00
00
10
00
01
00
01
00
00
10
00
00
10
01
00
10
10
00
01
11
00
11
11
11
00
01
10
01
00
00
00
10
10
00
10
10
10
00
11
00
00
10
10
10
00
00
10
10
10
01
10
11
11
00
10
01
10
10
10
00
10
11
10
10
10
00
11
00
10
00
00
11
11
11
01
10
10
10
00
00
00
00
11
01
00
01
10
10
00
10
01
00
11
10
01
00
00
10
10
10
00
00
10
00
10
11
10
01
10
00
10
10
00
11
10
00
10
10
10
01
00
10
01
00
01
11
10
10
01
00
00
00
10
11
10
01
00
10
00
11
10
01
00
00
00
00
01
10
11
00
11
11
01
00
11
10
10
10
00
10
10
00
00
11
10
01
10
10
10
00
10
00
10
10
11
01
10
10
11
00
11
11
10
00
00
10
00
00
10
10
10
00
00
10
01
00
00
01
10
01
00
01
11
00
11
11
11
01
10
01
00
10
11
10
00
00
00
11
11
01
10
00
10
11
10
10
00
01
00
11
10
00
00
00
10
00
10
10
00
01
10
10
01
10
11
10
01
00
11
11
00
01
11
10
00
11
11
10
00
11
11
10
00
00
11
11
11
01
10
00
01
10
11
10
01
00
10
00
01
01
10
00
00
10
11
10
10
10
01
01
11
01
00
10
11
00
10
01
00
11
10
00
00
10
10
00
01
10
10
01
10
10
01
00
00
11
00
10
01
00
11
01
00
10
10
01
11
01
00
10
11
00
01
10
01
00
00
10
00
00
11
01
01
01
10
10
01
10
10
01
01
01
11
10
00
10
10
10
00
00
10
10
00
10
00
11
01
00
11
01
01
00
10
11
01
10
10
10
00
11
10
11
01
00
00
10
00
01
10
11
00
01
00
10
10
01
00
10
11
00
11
11
00
10
10
00
00
10
10
00
00
11
00
00
01
01
11
10
11
00
11
00
00
11
11
00
11
00
00
00
10
01
10
00
00
00
11
11
11
11
00
11
10
01
00
10
10
00
01
10
00
00
10
10
11
10
01
00
10
00
10
10
01
10
01
10
10
00
00
11
10
11
00
10
10
00
11
01
00
10
10
01
00
00
11
00
10
00
10
10
10
00
00
11
00
11
00
10
01
11
11
11
10
01
10
10
10
00
00
00
00
00
00
10
10
00
10
10
10
00
10
10
00
10
11
10
10
00
01
10
10
01
00
10
00
10
00
01
10
11
10
00
10
00
00
00
11
10
10
01
00
11
10
00
10
00
01
01
00
00
00
11
00
00
10
10
10
10
10
00
10
10
10
01
00
00
00
01
01
01
00
11
10
10
00
00
00
01
10
10
01
00
00
11
00
01
10
10
01
00
11
10
01
10
11
00
00
00
10
00
11
11
00
10
10
10
01
00
11
11
00
01
10
10
00
10
10
10
10
00
10
01
00
10
11
10
11
10
00
00
11
11
00
00
10
10
10
10
01
00
01
11
01
00
00
11
10
11
01
11
00
10
00
00
10
10
10
00
10
10
00
00
10
10
01
00
10
10
00
10
00
10
00
11
10
10
11
00
11
00
00
10
10
11
10
00
00
10
10
10
11
10
01
11
01
00
11
00
10
11
00
00
00
10
10
10
10
01
00
10
00
00
00
00
11
11
01
01
11
11
10
10
00
00
11
10
00
00
01
10
00
01
10
10
10
00
00
00
00
00
00
10
11
00
00
10
10
10
11
00
01
01
11
10
00
00
11
00
11
01
01
00
01
10
11
00
11
10
00
10
11
10
10
00
10
10
00
00
11
01
00
10
00
10
00
11
00
10
00
01
11
00
11
00
01
00
10
10
10
00
11
00
01
01
00
10
10
00
10
00
00
11
10
01
00
00
00
00
10
01
00
10
10
10
11
01
00
10
00
01
00
00
10
11
10
00
10
11
00
01
11
10
01
11
00
10
11
00
11
10
01
01
01
11
10
01
00
11
00
10
11
00
00
00
00
11
10
00
01
10
11
00
00
11
10
11
00
10
10
01
00
10
11
01
10
01
10
00
00
10
11
10
10
01
11
10
10
00
10
01
01
00
00
10
10
10
11
00
01
01
11
10
11
01
00
00
11
10
10
00
01
10
10
10
10
01
11
00
11
00
10
11
00
10
10
10
01
00
10
00
11
10
11
00
01
00
10
10
01
10
00
10
11
10
01
00
11
11
11
10
00
10
00
11
01
11
10
10
00
10
01
00
10
11
10
10
01
10
01
00
00
10
11
00
01
00
10
11
11
00
10
00
00
00
10
11
00
01
10
00
00
00
10
11
10
10
00
00
11
00
00
01
01
11
00
10
10
11
01
01
00
10
00
10
01
11
10
10
10
10
01
00
00
10
00
01
11
10
01
10
10
10
10
10
00
00
11
10
10
00
10
00
00
11
10
00
10
10
01
11
11
11
11
10
11
10
10
10
11
00
00
11
10
10
10
00
10
01
11
11
10
00
10
11
10
10
10
01
00
11
10
01
00
00
10
10
11
01
10
11
00
11
11
01
10
00
01
10
01
10
11
01
00
00
01
10
10
00
00
10
11
00
10
11
10
10
00
10
00
00
11
10
10
10
11
00
11
10
11
00
00
01
00
01
11
10
01
01
00
11
00
10
01
10
11
10
10
01
01
10
00
10
00
10
00
00
01
11
00
01
11
10
00
01
10
10
00
00
00
11
11
10
10
10
10
00
10
00
11
11
11
01
10
10
00
00
11
10
01
10
00
00
01
01
10
01
00
10
11
10
11
00
01
10
10
10
10
00
00
00
10
00
00
10
00
00
11
00
01
01
10
00
10
00
10
10
11
10
01
10
00
00
10
00
00
00
10
10
10
00
10
10
11
00
00
00
00
11
00
00
00
00
10
10
01
01
01
01
00
00
01
00
11
10
01
00
11
10
11
10
10
11
00
10
00
01
10
11
00
00
00
10
11
10
11
00
00
11
01
10
11
00
00
11
00
00
01
10
10
10
11
10
00
10
00
00
00
00
11
01
10
00
00
10
10
11
11
11
00
00
11
00
10
10
00
10
11
01
00
00
00
11
00
00
11
01
01
10
01
11
11
11
11
00
10
00
00
00
10
10
00
11
10
11
11
00
00
00
10
10
10
11
10
10
10
00
00
11
10
11
01
01
11
11
10
00
01
10
00
00
11
10
00
00
11
01
10
10
00
10
00
11
11
00
00
01
10
11
00
01
10
11
01
11
00
10
00
00
00
11
10
00
00
00
10
10
11
00
10
01
00
01
11
11
10
10
00
11
11
00
00
10
00
00
01
00
10
00
10
10
00
11
11
10
00
01
10
10
00
10
11
01
10
00
01
00
01
10
00
10
10
00
00
10
11
00
11
00
00
00
10
10
00
00
10
11
01
10
10
10
01
10
01
10
00
10
00
00
01
10
11
01
11
10
10
01
10
11
00
11
00
01
11
00
00
10
00
00
10
10
01
00
11
01
10
01
00
10
10
00
00
00
10
10
10
01
00
10
00
00
00
00
00
10
11
01
10
10
00
01
00
01
11
10
10
10
10
00
00
00
10
10
01
10
00
10
01
01
00
11
11
00
01
00
11
01
01
10
01
10
01
11
10
11
00
00
11
11
00
10
10
01
10
01
00
10
10
00
00
10
00
00
00
00
11
00
00
01
00
10
10
10
11
11
00
01
10
00
00
10
10
00
10
01
10
10
01
01
00
10
10
10
11
11
00
10
01
00
11
00
10
00
00
10
00
01
10
01
00
00
01
10
10
10
10
01
10
11
10
10
01
01
01
00
11
10
00
00
10
11
00
00
10
10
11
10
01
00
00
00
01
10
11
01
00
01
00
00
01
00
10
10
00
10
11
10
10
00
10
01
10
00
00
11
00
10
10
10
00
00
11
01
01
01
01
10
00
01
00
10
11
00
00
10
10
00
11
10
01
10
10
10
10
00
11
10
11
00
01
00
00
10
11
00
10
10
01
00
10
00
00
11
00
10
10
00
10
01
10
10
10
00
01
11
00
10
10
00
00
10
11
10
00
00
00
10
10
00
00
10
01
00
00
10
10
10
10
10
10
00
00
00
01
00
10
11
01
00
01
10
10
00
10
01
10
10
00
00
10
00
00
11
10
00
00
00
10
00
10
10
00
00
11
00
10
00
10
10
00
00
10
01
00
11
01
00
10
11
01
00
11
01
11
00
01
11
10
11
00
11
10
11
01
00
00
10
00
11
01
11
10
10
10
00
00
11
11
00
10
10
11
10
11
00
00
10
10
11
00
00
10
00
00
01
00
11
11
11
10
01
10
11
00
00
01
01
10
00
00
10
00
10
11
01
01
00
11
10
11
01
00
10
11
01
11
01
00
10
10
11
00
00
11
10
00
11
11
00
11
00
01
11
10
00
00
10
10
11
10
11
00
01
01
00
01
00
01
10
00
10
11
00
10
00
00
00
10
10
00
10
11
00
10
01
10
11
10
10
00
00
11
01
00
11
01
01
11
10
10
00
00
11
00
00
10
10
10
10
01
10
10
00
11
01
10
00
11
00
01
10
01
00
01
11
10
10
01
10
01
10
10
00
10
11
10
00
10
11
00
01
10
00
00
01
00
10
10
10
00
10
00
10
11
00
11
00
10
10
00
10
00
11
00
11
11
01
00
10
01
11
11
01
11
11
00
10
00
00
10
11
00
01
00
00
00
11
10
01
10
11
00
10
11
10
01
00
01
10
01
01
10
01
00
10
00
10
11
10
10
01
00
11
10
00
00
11
10
11
10
00
01
00
01
00
01
10
11
10
00
00
10
00
00
11
11
11
01
01
10
10
00
10
11
10
01
00
11
01
00
11
10
01
11
11
00
00
10
10
00
01
10
10
11
01
00
11
10
10
00
00
01
10
10
00
00
00
00
10
10
01
01
01
10
00
10
00
10
10
00
00
00
10
00
10
01
00
11
10
00
00
10
00
00
11
10
00
00
10
10
00
10
11
10
00
00
10
10
00
01
11
01
10
00
00
10
00
00
11
01
01
11
10
10
10
00
00
00
10
11
01
00
10
00
10
10
11
00
10
10
10
10
11
00
00
00
10
10
00
00
00
00
10
01
01
11
00
01
10
01
00
11
10
00
00
00
11
10
00
00
11
10
10
10
00
10
10
11
10
00
00
01
10
01
00
10
10
01
10
00
10
10
10
11
00
00
10
10
00
10
01
10
01
00
10
00
10
10
01
11
01
01
11
10
10
10
10
00
00
01
00
10
11
10
10
10
10
00
01
00
01
11
01
00
00
00
11
10
11
11
00
00
11
10
10
00
00
00
00
10
00
11
10
00
10
00
11
00
10
11
11
01
10
00
00
11
10
01
11
10
00
10
10
01
01
10
00
01
00
00
10
00
10
11
11
01
01
11
00
10
10
11
10
01
01
10
00
10
10
00
01
10
10
00
11
10
10
10
00
01
10
00
11
00
11
10
00
11
00
10
00
11
10
10
01
00
11
01
01
11
00
01
00
10
11
11
10
01
10
10
01
00
11
00
10
11
10
00
00
01
00
00
10
10
11
00
10
10
10
11
01
10
01
00
11
10
10
10
10
10
11
10
11
01
10
00
10
11
10
10
00
00
01
00
00
10
10
01
11
00
01
00
11
00
10
00
10
10
00
01
00
01
10
11
01
10
10
00
01
10
10
00
11
01
10
10
01
01
00
10
10
10
00
01
01
10
01
11
01
01
00
10
10
00
00
00
00
10
01
11
11
11
10
00
00
00
11
01
10
01
00
00
00
10
11
10
10
00
00
10
01
00
10
00
00
01
00
10
10
10
11
01
10
01
01
01
10
00
10
00
10
00
11
10
10
01
10
11
00
10
11
00
00
00
00
10
10
11
10
10
11
10
11
11
00
01
00
11
11
10
11
11
01
00
00
11
01
11
01
01
10
11
00
01
10
11
01
10
00
01
10
10
11
00
01
10
00
00
01
00
11
10
10
10
10
00
11
00
01
10
10
10
10
00
10
11
00
01
00
00
00
00
10
11
00
10
01
10
00
00
10
10
01
01
11
11
11
10
00
01
10
00
00
10
00
00
11
00
11
00
10
11
01
00
10
10
01
10
01
10
01
00
10
00
00
10
10
10
10
00
01
10
10
11
01
10
11
00
00
10
11
00
00
00
00
01
10
00
11
00
10
01
00
10
10
01
01
11
01
00
10
10
00
00
10
10
11
01
10
10
00
00
10
10
00
10
10
00
10
11
10
01
10
10
00
11
00
00
10
00
10
01
10
10
01
10
10
10
00
00
10
00
11
10
00
10
00
01
00
10
11
01
00
10
10
00
01
00
10
11
10
10
01
00
00
10
01
00
10
10
11
00
11
10
10
00
00
10
00
10
01
10
00
00
00
00
11
01
10
10
10
00
00
10
11
01
01
11
01
00
10
00
00
11
11
01
00
11
00
10
10
01
11
00
00
10
10
11
10
01
00
10
10
01
01
01
01
00
01
01
11
11
00
00
11
10
10
00
00
11
11
11
10
00
10
01
10
10
00
00
01
10
01
10
10
10
00
00
10
10
11
01
00
10
00
10
10
00
10
10
00
01
01
01
01
00
11
01
10
00
01
11
10
10
10
11
01
00
01
10
10
01
01
00
10
10
01
10
11
01
10
01
10
11
00
00
11
11
00
00
00
10
00
10
01
00
00
10
01
00
00
00
11
10
10
00
01
01
10
00
00
01
00
10
10
00
00
10
11
01
01
10
11
11
00
00
00
10
10
10
01
00
01
01
10
00
01
01
01
11
00
11
11
01
10
10
01
01
11
10
01
00
01
11
00
10
10
10
10
01
01
00
01
00
10
10
10
01
10
11
01
10
11
10
10
11
11
01
00
10
00
00
00
10
00
00
10
10
01
11
11
00
01
10
10
10
10
11
00
00
10
00
10
11
01
00
10
10
11
00
11
10
00
00
00
01
10
01
01
00
10
01
01
10
11
10
00
00
10
00
00
10
10
10
10
10
11
01
00
00
10
00
00
00
10
10
01
01
00
10
10
00
00
00
00
10
10
00
10
10
00
00
11
10
10
10
00
00
10
01
11
01
01
00
00
10
10
10
00
01
10
10
01
01
10
10
11
00
00
11
01
00
10
00
10
01
11
10
11
11
00
01
00
00
01
10
10
11
10
01
10
10
00
11
10
01
00
10
11
01
10
10
00
00
00
00
00
10
11
10
01
01
10
01
10
00
10
10
01
00
10
11
11
10
00
00
11
11
00
10
10
01
10
00
00
10
10
00
00
00
00
10
00
10
11
10
11
00
01
11
10
00
00
11
00
00
10
10
11
11
00
00
00
10
01
10
11
10
00
00
11
10
00
11
00
11
00
00
10
11
00
01
11
10
01
00
11
00
10
10
11
11
00
01
11
11
10
10
01
00
00
10
10
00
00
10
10
11
00
11
01
01
10
11
11
00
00
10
10
00
11
01
10
11
00
00
11
11
00
00
00
10
10
01
00
00
10
10
00
00
11
11
00
00
10
10
00
10
10
00
01
01
00
01
10
00
10
00
10
11
01
00
00
00
01
01
10
11
11
00
00
11
01
10
11
00
10
11
00
10
01
00
10
00
00
00
00
10
10
00
01
11
10
10
00
00
11
10
10
00
10
10
00
01
01
01
01
00
00
11
00
00
00
11
10
00
10
10
00
11
10
00
01
11
10
00
00
10
00
10
00
10
11
00
01
10
10
00
00
10
10
10
10
00
10
11
01
10
10
00
10
00
00
11
01
00
10
10
11
10
00
00
00
11
11
01
01
00
00
10
11
11
10
11
01
00
11
10
00
00
00
11
10
00
00
00
10
01
10
00
01
00
00
11
10
10
10
00
11
10
01
01
10
00
00
10
10
00
00
00
10
00
10
10
10
11
01
00
11
00
10
00
00
00
10
11
01
00
01
00
00
10
00
01
10
11
00
10
11
01
10
11
01
01
10
00
00
11
11
00
00
10
11
11
11
00
00
00
11
10
11
10
01
01
10
01
00
11
10
10
11
00
00
00
00
10
10
10
00
00
11
10
10
01
11
10
11
10
00
10
01
01
10
01
00
11
00
10
01
11
10
00
10
01
00
10
10
00
00
10
00
00
11
10
00
10
10
00
00
01
11
00
01
01
00
11
01
00
10
10
11
10
10
10
00
00
01
10
00
01
00
10
11
11
10
01
00
00
11
10
01
10
10
00
10
11
01
10
10
00
00
10
00
00
10
01
11
11
00
01
00
00
10
11
10
01
00
10
10
00
01
10
00
01
00
01
11
01
10
00
00
10
00
11
00
00
10
10
00
10
00
00
01
00
10
10
11
10
00
10
01
10
00
00
10
01
01
11
10
00
10
11
10
10
01
01
10
11
00
00
10
10
11
10
11
00
00
10
10
01
00
00
10
00
00
00
00
11
01
01
00
11
10
10
01
00
11
10
00
01
00
10
10
11
10
01
01
10
11
00
00
10
01
00
00
10
00
00
10
10
01
01
11
11
01
00
01
10
11
01
00
10
10
00
00
10
10
00
00
10
00
10
01
10
11
10
01
11
10
10
11
01
01
00
00
00
01
01
11
11
01
00
00
00
10
01
00
10
11
10
01
01
00
10
10
11
00
10
10
01
00
11
10
00
00
10
00
00
11
01
10
11
10
10
10
10
10
00
10
10
10
10
11
00
11
00
00
10
10
10
10
00
10
11
10
00
01
00
11
00
11
10
10
01
10
01
00
01
10
11
01
00
01
10
10
00
10
10
00
01
10
11
00
10
01
10
11
00
00
10
10
11
10
11
10
00
01
00
10
00
00
11
10
11
00
10
00
00
10
10
01
00
11
01
10
00
01
00
11
10
00
10
10
00
00
00
11
00
10
01
10
10
00
00
10
10
10
11
00
01
11
01
11
11
10
01
00
00
01
10
00
01
10
10
00
10
00
10
11
00
10
10
10
01
11
10
11
11
00
11
00
00
11
11
01
10
00
10
10
00
00
01
01
11
10
11
01
00
10
10
10
00
10
00
10
11
01
11
11
00
10
10
10
00
01
00
10
01
00
10
10
10
00
01
01
00
00
00
10
11
01
10
00
10
00
10
01
10
11
01
00
11
00
10
00
10
10
10
10
00
01
00
11
01
10
01
00
11
10
00
01
00
10
10
10
00
10
01
00
10
10
00
10
00
01
10
10
10
10
00
01
00
00
10
10
01
10
01
01
01
00
01
00
11
10
10
01
01
10
01
11
11
00
10
10
10
00
10
01
01
00
00
10
11
00
01
10
10
01
01
00
10
10
01
10
00
00
00
11
10
11
10
00
10
01
00
01
00
11
00
00
11
00
01
01
10
11
00
10
00
00
11
10
10
00
00
10
11
01
00
00
00
11
11
10
00
10
01
00
10
10
10
01
01
00
10
00
00
01
01
11
10
00
00
11
00
00
00
10
10
00
00
10
10
01
10
10
11
10
00
00
11
11
01
00
00
10
10
00
00
10
10
10
11
10
01
10
11
10
00
01
00
00
10
10
11
00
01
01
10
00
11
01
00
10
10
00
10
11
00
00
11
10
10
11
10
10
00
10
00
10
00
00
01
10
01
01
10
01
11
11
10
10
00
00
10
10
11
10
01
01
01
10
00
11
11
00
01
00
10
00
00
11
10
00
00
01
00
00
00
10
10
01
01
10
10
00
11
10
00
10
10
10
01
00
10
00
01
10
01
11
10
10
01
11
01
10
11
10
10
00
11
00
01
00
10
00
00
10
01
10
10
10
10
10
10
10
00
01
10
00
11
00
00
10
01
10
11
00
10
00
10
01
10
10
00
00
11
10
01
01
11
11
11
10
01
00
10
10
01
01
00
01
11
10
01
01
00
10
10
01
00
00
11
01
00
10
10
00
11
10
10
01
00
00
00
10
01
10
00
11
01
01
00
10
10
10
10
10
10
00
01
10
11
10
11
11
10
00
10
10
11
10
00
10
10
00
10
10
10
10
01
00
11
00
11
10
10
10
01
10
11
10
00
10
01
11
01
01
11
00
00
01
01
00
10
10
00
01
01
00
00
10
00
10
00
01
10
10
01
10
10
10
01
11
11
00
11
10
00
00
10
10
00
01
10
10
11
00
01
01
00
10
11
01
10
11
01
00
00
00
11
11
00
00
00
11
10
00
01
00
00
11
00
11
00
11
10
00
00
00
10
00
01
10
00
00
11
10
10
10
00
01
10
00
11
11
00
00
01
10
00
00
10
00
10
10
01
11
10
00
00
00
10
11
01
00
10
10
10
11
00
10
00
10
00
01
11
11
01
00
11
10
00
00
10
11
10
00
00
11
00
00
00
01
10
11
10
10
10
11
00
10
00
00
11
11
10
00
10
00
01
00
10
01
01
10
00
10
10
01
10
10
10
00
00
11
00
00
00
10
01
10
00
00
00
00
01
10
00
00
01
10
01
11
10
00
00
00
10
11
00
11
00
00
10
10
01
01
01
11
11
00
11
10
01
01
10
11
00
10
11
10
01
01
10
11
11
00
00
01
10
10
00
00
10
10
00
10
00
01
11
10
01
00
10
10
00
00
10
00
01
00
00
11
10
11
11
10
00
00
10
00
01
10
10
11
11
00
10
00
00
00
11
10
11
00
00
11
00
00
10
10
00
00
00
11
10
01
10
00
00
10
11
01
10
10
00
11
00
10
10
00
10
11
01
00
10
00
00
00
01
11
10
00
00
11
00
10
11
00
01
00
10
10
00
00
01
11
10
10
00
00
10
10
10
01
11
10
00
00
10
10
01
00
00
00
10
10
10
10
00
00
10
00
00
01
10
10
00
10
11
00
00
10
00
11
11
10
10
01
00
11
10
11
01
10
00
00
10
11
01
00
00
00
11
10
10
00
00
10
10
10
01
00
00
00
00
00
10
01
10
10
00
10
11
10
00
10
11
00
10
11
11
00
11
10
00
00
10
10
10
01
00
10
00
01
00
00
10
10
11
00
00
00
00
11
00
00
11
00
01
11
00
00
11
10
00
00
10
10
00
00
01
00
10
00
01
10
01
00
10
00
10
00
11
00
11
10
00
00
01
01
10
10
01
10
00
01
01
10
10
01
11
11
01
01
00
01
00
10
10
01
00
11
01
00
00
11
00
01
00
00
11
11
00
10
00
00
11
00
11
10
10
11
00
10
00
10
10
00
10
01
10
11
11
00
01
00
00
11
00
11
10
01
00
00
00
10
11
00
00
10
10
10
00
11
00
10
00
01
00
10
10
00
10
01
10
00
00
01
01
00
10
11
10
01
00
00
10
10
10
01
11
00
10
00
00
00
01
10
00
11
10
10
10
01
01
01
10
10
01
10
10
11
10
01
00
01
10
10
01
10
01
00
01
11
01
01
11
01
01
00
10
10
11
00
00
11
11
10
00
10
01
01
10
01
10
00
00
00
11
10
10
10
00
01
11
10
10
01
10
00
01
10
01
00
00
00
11
11
00
00
10
00
11
01
11
00
10
11
11
11
00
00
00
00
11
00
00
10
11
10
01
10
10
00
00
10
11
01
00
10
11
00
01
10
10
01
00
10
00
00
01
00
01
00
10
10
00
00
10
00
01
10
00
11
10
00
01
00
10
01
10
10
11
10
10
00
10
01
00
00
01
00
11
10
11
00
11
00
00
11
11
01
00
11
10
01
01
10
00
00
10
10
10
10
10
00
00
01
10
11
01
01
11
11
10
10
01
10
00
01
00
10
10
01
10
11
10
01
10
00
00
10
01
00
00
11
10
01
00
11
11
00
11
10
00
00
10
10
10
00
00
10
00
11
01
10
00
10
10
00
11
00
11
10
10
00
10
01
00
01
10
10
00
01
00
10
10
00
01
10
10
01
00
10
10
11
10
00
11
01
01
11
11
10
11
01
01
10
11
10
10
01
00
00
00
00
00
10
01
10
10
01
00
00
01
11
11
10
00
01
10
10
00
10
10
00
11
10
00
10
10
10
00
10
00
11
01
10
00
10
00
01
00
10
10
01
11
01
01
00
10
10
01
00
10
10
11
00
01
00
00
10
00
10
00
01
10
10
01
10
11
10
01
00
00
00
10
11
00
00
10
10
10
00
01
00
10
00
00
10
11
10
11
10
00
01
00
11
10
11
00
00
10
10
11
00
11
00
01
10
00
11
00
00
00
10
10
00
11
10
00
00
10
00
10
00
10
01
11
11
00
00
10
01
10
01
00
10
10
01
10
01
11
01
00
10
10
10
10
10
00
01
01
01
10
00
10
10
00
10
00
00
00
01
00
10
00
10
01
11
10
11
00
01
00
10
10
10
00
00
01
11
00
01
00
00
01
10
01
00
10
10
10
01
10
10
00
10
00
01
10
10
10
01
00
11
00
00
00
11
10
11
00
01
00
11
10
00
01
10
11
10
10
00
10
00
01
00
11
11
00
11
01
00
00
10
10
01
00
10
10
10
01
10
01
10
10
10
11
00
01
00
10
00
00
10
10
00
00
00
01
00
00
00
00
10
11
01
10
11
11
00
00
01
10
10
10
00
01
10
00
00
10
00
00
01
00
10
10
10
10
10
00
10
00
11
01
10
11
00
10
10
00
00
00
11
10
01
00
00
00
01
11
01
00
00
10
11
00
10
00
10
00
01
01
10
10
00
00
01
10
10
00
10
10
00
01
11
01
11
00
00
11
01
01
00
10
11
11
10
01
00
10
10
01
00
10
00
01
10
00
01
00
11
10
00
10
10
00
00
10
11
01
00
10
10
00
11
11
10
00
11
10
10
00
00
10
00
00
10
01
11
00
00
01
01
10
10
00
10
11
00
01
01
10
10
00
00
10
10
11
10
00
11
01
01
00
10
10
01
00
01
00
11
01
00
10
10
00
00
10
11
00
00
00
10
01
00
10
10
10
10
00
00
11
10
11
11
00
11
00
01
01
00
00
01
11
11
10
01
00
10
00
10
10
01
10
00
00
00
10
00
11
10
01
01
00
01
00
10
00
01
10
10
00
00
10
11
00
00
11
10
00
10
01
10
11
00
10
00
00
01
10
01
01
10
00
01
00
00
00
11
11
11
11
01
00
00
11
00
10
00
11
10
11
00
00
01
10
11
11
11
01
01
00
11
11
01
00
10
11
00
00
11
01
00
10
10
00
11
00
11
11
11
10
10
00
00
10
00
00
10
01
00
00
10
10
01
00
11
11
00
00
10
00
01
10
11
10
00
00
11
11
00
00
00
10
10
01
11
01
10
01
10
01
00
10
10
10
01
00
10
11
01
00
10
10
00
10
10
11
10
01
00
10
10
00
00
11
10
01
10
10
00
01
00
10
00
00
10
10
10
10
00
00
10
00
10
10
01
11
00
11
00
00
00
10
10
00
00
11
00
10
01
10
00
01
00
00
11
11
01
01
10
11
01
00
10
10
01
11
00
01
10
10
00
01
00
10
10
01
00
00
11
10
00
10
10
00
10
10
11
00
01
11
10
01
11
00
11
00
01
10
11
10
10
10
00
00
10
10
10
11
11
01
01
01
00
01
10
01
10
11
00
10
01
00
10
10
00
01
10
00
10
10
00
11
10
11
10
00
10
00
10
11
11
01
11
00
00
10
10
01
00
10
00
00
11
00
01
10
11
00
01
10
10
01
00
11
10
10
01
00
00
10
00
01
00
01
10
11
10
11
01
00
01
10
10
10
10
00
11
01
01
00
00
11
00
10
01
00
10
00
10
10
11
11
01
10
10
01
01
11
00
01
11
01
10
11
00
00
11
10
01
00
00
10
01
11
00
10
11
01
00
00
11
10
00
00
10
00
10
10
00
10
11
10
00
01
10
10
10
10
00
01
00
00
10
00
11
01
10
10
11
11
00
10
00
00
01
10
10
10
00
01
01
01
10
00
00
11
00
11
11
01
10
01
00
11
10
00
00
11
11
00
10
11
00
00
10
11
00
10
01
01
00
00
11
10
11
00
01
10
10
00
11
10
00
00
00
00
00
00
10
00
00
00
00
10
00
01
00
00
01
10
10
01
10
10
01
10
11
00
10
00
11
01
00
10
11
00
10
11
11
10
00
01
11
00
00
00
10
11
00
10
11
10
00
00
01
11
10
10
00
00
00
10
00
10
11
11
11
00
01
00
10
11
00
00
11
10
01
10
10
00
00
10
00
10
11
01
01
10
10
11
00
00
01
01
10
11
11
11
10
11
01
01
11
11
01
10
10
01
11
10
01
11
01
01
00
01
10
10
00
01
10
10
10
10
00
01
00
00
01
00
01
10
10
00
00
10
10
01
10
11
10
11
00
00
00
10
10
01
00
00
00
10
10
01
11
00
01
10
00
01
10
11
10
00
00
00
11
11
00
01
00
11
10
01
11
11
00
01
00
10
01
01
00
00
10
10
00
10
10
00
10
11
10
01
01
10
00
01
00
01
11
00
01
11
10
00
10
10
00
00
10
10
00
11
01
10
01
01
00
10
10
11
00
01
10
11
11
11
01
00
00
10
00
10
10
01
00
11
00
10
10
00
01
00
00
01
01
10
10
11
01
00
00
10
10
01
10
11
01
00
11
11
10
01
00
00
10
00
11
10
10
01
00
00
10
10
01
10
00
00
00
10
11
10
11
01
00
10
11
11
00
00
10
10
11
00
01
01
01
10
11
10
01
00
11
10
00
11
10
10
01
11
00
01
00
11
10
00
11
10
10
00
10
00
10
00
01
10
01
00
10
10
10
00
00
00
11
10
00
00
10
10
00
00
10
01
00
00
10
00
11
00
00
11
11
01
00
10
10
00
10
00
00
11
11
11
10
00
00
00
01
00
10
10
01
01
10
10
11
10
00
10
00
00
10
11
10
00
01
00
10
10
01
00
00
01
11
00
01
10
01
01
10
00
00
01
10
10
10
11
11
00
10
01
11
00
01
11
00
01
01
11
10
00
00
00
10
10
10
01
10
10
10
10
01
00
10
00
11
10
11
01
00
11
10
00
10
10
00
00
00
10
00
00
10
00
10
10
10
00
10
01
00
00
11
10
10
10
01
01
10
11
10
01
00
11
01
10
01
10
01
00
10
00
01
11
00
10
00
00
11
01
10
10
00
00
11
00
10
10
01
01
00
01
01
01
01
11
00
11
01
01
10
11
00
00
10
10
11
10
10
00
01
00
11
10
10
10
01
11
01
00
00
00
11
01
00
10
10
10
10
00
00
10
10
01
10
00
00
00
10
10
10
01
10
00
00
01
10
10
01
10
00
00
10
00
10
01
10
00
01
00
11
00
11
00
10
01
00
01
11
10
00
00
00
00
10
10
00
11
10
11
01
01
11
11
01
01
10
11
00
00
11
11
01
00
10
10
00
10
00
00
11
01
11
10
10
10
10
00
00
11
11
10
11
00
00
00
00
00
10
10
00
00
10
00
11
10
00
01
11
10
01
01
11
10
10
00
00
00
10
10
01
00
10
00
00
10
01
01
00
00
10
00
00
00
11
00
10
11
00
00
00
01
10
00
00
11
11
00
10
10
10
00
10
00
00
10
10
10
11
01
11
10
10
00
00
01
10
11
00
00
00
10
10
00
01
10
11
10
00
01
00
01
11
01
00
10
01
11
00
00
10
11
00
00
11
11
00
00
10
01
00
10
00
01
10
10
10
00
00
11
11
01
10
00
00
00
01
00
11
11
00
11
10
10
11
11
00
01
00
10
10
00
00
00
10
00
00
01
00
10
00
10
00
10
10
00
10
11
00
11
00
10
11
00
11
10
01
00
00
00
01
10
10
00
00
10
10
01
00
11
10
01
00
11
01
10
01
01
11
01
00
11
01
00
10
10
01
10
01
00
10
11
10
00
00
10
11
00
00
01
00
10
00
10
10
00
00
11
00
10
11
00
10
11
11
11
10
10
11
10
11
00
11
10
01
01
00
10
11
01
00
11
11
00
00
11
10
11
00
00
11
10
11
00
10
10
01
00
00
01
10
00
11
01
01
00
00
01
00
11
01
00
10
10
11
00
11
10
10
01
10
10
01
10
10
00
00
00
10
00
10
10
00
10
11
10
00
01
00
00
10
11
00
00
00
10
10
00
00
10
10
01
00
11
10
10
00
10
01
00
10
11
10
00
00
01
10
10
01
00
10
00
00
11
00
00
10
10
01
11
11
00
11
10
10
10
00
01
10
10
00
00
01
00
10
11
01
00
11
11
11
00
00
00
10
11
00
01
10
11
10
11
00
00
11
00
00
11
00
00
01
10
11
10
00
11
00
00
10
00
00
10
11
01
10
10
10
00
00
01
01
01
11
00
00
10
11
00
10
10
00
00
10
11
00
10
10
10
01
01
00
10
11
00
11
10
00
01
10
11
00
01
00
11
11
01
01
10
10
00
10
00
00
10
00
01
11
00
00
00
01
10
01
00
00
10
01
10
10
11
00
10
10
10
00
10
10
11
00
11
01
10
00
00
10
10
10
01
00
11
10
10
00
01
00
10
10
01
10
10
10
10
10
00
00
11
11
00
00
00
01
11
11
01
11
00
00
00
10
00
00
10
01
00
10
00
10
00
01
10
00
00
01
10
01
11
10
01
10
11
00
11
11
10
00
00
00
00
00
11
10
00
01
01
00
00
10
11
10
10
00
01
10
00
10
10
00
00
10
00
10
00
00
10
10
01
00
10
10
01
00
00
01
10
10
11
01
00
00
11
10
01
00
00
00
00
10
11
00
00
00
11
10
10
00
10
11
10
01
00
10
11
00
00
11
01
00
11
10
11
10
00
00
00
01
10
10
01
00
10
00
00
00
10
10
00
10
10
00
00
10
00
10
10
10
01
00
01
10
00
10
10
00
00
10
10
00
01
10
00
01
01
01
11
11
10
00
00
00
10
11
00
01
00
00
10
10
10
11
00
00
10
00
10
00
00
01
10
10
11
01
00
00
01
11
10
10
00
00
11
00
01
00
00
11
01
10
10
01
10
10
10
11
00
00
10
00
10
10
10
01
00
10
10
01
00
10
00
00
10
11
01
11
10
00
00
10
11
10
01
00
10
10
00
10
00
10
10
00
01
00
00
00
11
10
10
10
10
00
01
00
11
00
01
01
10
01
01
11
11
11
01
00
10
01
11
00
01
10
11
10
00
01
10
00
10
10
00
01
00
10
10
11
00
11
00
01
11
11
01
00
00
10
10
00
00
10
11
01
10
00
00
10
10
00
00
00
01
10
10
10
10
10
10
10
01
00
01
01
11
10
11
10
00
10
10
10
00
10
10
00
00
01
10
11
01
00
00
10
00
11
11
00
10
01
00
00
00
01
11
11
01
11
00
00
01
10
01
00
10
10
01
01
00
01
10
00
11
10
00
00
00
10
10
00
00
11
00
11
01
00
01
00
00
00
10
01
10
10
00
01
00
00
00
11
01
00
01
01
10
10
11
10
11
01
00
00
10
00
11
10
00
00
10
10
00
11
10
01
00
00
10
00
10
11
11
00
01
00
00
00
00
10
00
00
10
00
10
11
00
10
10
00
11
11
01
00
00
10
00
10
10
00
00
10
00
10
10
00
00
11
00
10
11
00
00
10
00
00
11
10
10
00
10
00
00
10
00
00
10
10
11
00
10
01
00
01
01
00
01
00
11
10
10
00
00
10
10
00
01
00
10
00
10
10
10
01
10
10
10
11
10
11
01
00
00
10
11
10
10
10
00
10
01
10
01
10
10
00
11
10
00
00
10
10
10
10
00
10
11
00
11
10
10
01
10
10
10
01
01
10
01
11
01
11
01
01
10
00
10
10
01
00
11
11
00
11
11
01
00
01
10
01
10
10
00
00
10
10
01
00
00
10
01
10
10
10
10
00
10
00
10
11
01
10
11
00
00
01
00
10
11
10
00
00
11
00
11
00
01
00
11
11
10
00
00
10
10
00
00
10
11
01
01
00
11
01
00
10
00
00
11
00
00
01
10
00
10
11
10
00
10
10
11
00
11
00
11
10
11
00
00
11
00
10
11
11
01
10
11
01
00
00
10
10
10
00
00
00
00
10
10
00
00
10
00
00
10
10
00
00
00
01
11
10
01
11
00
01
10
11
00
00
00
10
10
11
11
00
01
00
10
10
11
01
01
10
10
00
00
01
00
00
11
01
11
11
11
01
11
10
11
10
11
00
01
10
10
10
01
01
10
10
00
10
00
10
11
00
10
11
01
10
00
00
10
11
10
00
00
11
11
11
00
00
10
10
01
11
00
00
11
10
10
00
11
01
10
00
01
00
00
00
10
01
10
11
00
10
00
10
00
11
10
11
10
01
00
01
00
11
00
01
10
11
00
01
11
11
10
00
00
10
00
00
10
00
11
00
00
01
01
00
00
10
10
00
10
00
00
01
01
01
00
00
11
10
00
10
11
00
10
10
10
00
00
10
00
10
10
11
01
11
10
11
01
01
00
00
00
10
10
10
00
01
10
10
11
10
11
01
11
00
00
00
10
10
00
01
10
10
11
00
10
00
00
00
01
10
00
11
10
01
01
00
00
10
01
10
10
00
01
10
10
10
10
00
10
01
11
01
10
10
01
10
01
10
10
01
00
11
00
00
10
10
10
01
00
10
01
11
01
10
10
01
11
11
10
00
00
10
11
01
01
10
11
10
00
10
00
11
10
10
10
10
00
10
00
10
01
01
00
10
01
01
01
01
00
10
00
00
10
00
01
11
11
10
10
10
11
10
00
01
11
10
10
00
11
10
11
00
01
01
00
10
00
01
10
00
10
11
00
01
00
10
11
11
10
10
11
00
01
11
11
00
00
10
11
00
00
10
11
00
01
00
01
10
10
10
00
00
11
10
00
10
10
00
01
11
00
00
01
10
00
00
11
11
11
10
11
00
00
10
10
00
01
11
11
10
01
11
10
00
00
00
01
10
10
10
00
00
00
00
11
00
11
10
01
10
11
10
00
11
10
00
01
00
10
11
11
00
01
00
00
01
10
00
10
10
10
00
01
00
01
00
10
01
00
00
11
11
00
10
10
10
10
11
10
00
01
10
10
00
11
10
10
00
01
00
11
10
11
00
00
11
01
00
10
10
01
10
11
01
00
11
11
00
00
11
11
10
00
01
10
10
00
00
10
01
01
00
01
10
10
00
00
10
10
11
01
11
10
01
00
10
00
00
11
10
10
00
00
10
11
11
00
11
10
10
00
10
10
10
00
00
10
00
00
01
10
11
00
11
00
00
00
00
10
10
00
10
10
10
10
00
00
10
11
11
10
10
00
01
00
00
11
00
10
11
01
11
10
10
10
00
00
10
10
11
01
01
10
10
00
10
11
10
01
00
01
00
01
10
10
00
10
01
00
01
11
10
10
01
00
10
11
10
00
11
10
00
11
10
00
00
11
00
10
10
01
00
01
00
11
00
01
00
01
10
10
00
00
01
10
10
01
00
11
10
00
00
01
10
00
00
11
01
00
10
10
10
10
00
00
11
10
10
00
01
11
00
00
11
00
10
10
00
10
01
00
00
10
10
01
00
10
01
10
11
10
11
00
01
00
11
10
00
11
11
11
01
00
11
10
01
00
11
10
01
01
11
11
00
11
10
00
10
10
00
00
11
00
00
00
01
10
00
00
10
10
01
00
11
10
10
00
01
10
10
00
01
10
00
01
00
11
00
00
11
00
11
10
00
00
00
01
10
11
01
00
10
11
00
01
00
10
11
00
10
11
11
00
00
01
01
01
10
00
01
10
10
00
01
10
01
01
00
10
00
10
10
00
00
11
10
11
00
01
11
11
10
01
00
10
10
01
10
11
11
00
00
00
00
10
11
00
01
11
00
10
11
01
10
00
11
10
01
10
00
00
10
11
01
10
10
10
10
00
00
10
10
10
00
00
00
11
00
00
00
10
10
10
10
00
10
10
11
01
01
10
00
10
00
00
10
10
00
10
10
01
10
00
00
00
01
00
10
10
00
00
01
00
10
11
00
10
00
00
10
01
00
11
00
11
11
00
00
00
10
00
10
00
00
01
10
10
00
00
10
00
10
00
01
11
10
00
10
01
01
11
01
10
00
10
10
00
10
01
00
10
01
01
10
10
00
00
10
00
10
11
00
10
10
10
00
01
10
00
00
10
10
10
10
00
10
11
00
11
00
10
10
01
11
11
00
10
11
10
01
10
10
00
01
00
11
01
00
01
10
01
00
11
11
10
01
11
11
00
10
00
00
11
11
10
00
10
10
01
00
01
10
01
00
10
00
00
10
11
10
00
10
00
00
10
10
10
10
11
01
01
00
00
10
10
10
00
11
10
00
10
00
10
10
00
00
00
00
00
00
10
00
00
10
00
10
00
10
01
01
10
11
00
10
10
01
10
11
00
11
00
00
10
11
11
00
10
00
00
11
00
00
00
11
00
00
00
10
00
00
00
00
10
10
01
11
00
10
00
00
00
10
10
10
10
00
10
00
10
00
11
10
10
10
01
10
10
11
01
00
01
00
01
10
01
00
00
10
11
01
00
00
10
01
01
11
00
11
00
10
10
01
11
11
11
00
01
10
10
10
00
00
00
11
10
00
01
11
11
10
10
11
11
10
10
01
00
10
11
10
00
01
01
10
01
00
00
10
10
00
11
10
11
10
11
00
00
00
00
00
10
00
00
00
11
11
10
00
00
10
00
10
10
10
11
01
11
01
00
10
11
00
00
11
10
00
10
11
00
00
01
11
01
10
01
01
10
11
10
01
00
10
01
11
11
11
11
00
11
00
00
00
10
10
10
01
00
11
00
01
10
01
10
10
11
00
10
10
01
00
11
00
00
00
00
11
10
11
10
01
10
10
00
00
00
00
01
10
00
00
10
00
10
11
10
00
10
11
00
10
10
01
00
00
01
10
10
00
10
01
00
00
11
10
01
10
11
01
10
01
01
00
10
10
11
00
00
10
01
10
10
11
10
00
11
10
00
10
10
00
00
00
10
01
10
10
10
00
00
11
10
00
10
00
11
10
00
11
11
01
10
10
00
11
01
10
00
00
00
01
11
11
11
00
00
10
00
00
00
10
10
01
10
10
00
10
00
10
01
00
00
01
10
10
01
00
11
11
10
01
10
01
00
10
10
00
01
10
10
01
01
01
10
10
01
00
10
00
10
10
10
11
00
00
11
10
00
00
01
11
01
01
10
10
01
01
11
01
01
00
00
10
11
11
00
00
10
10
00
00
10
11
10
00
00
10
10
00
00
01
01
01
10
01
10
11
00
00
10
10
10
00
11
11
00
00
10
00
01
10
00
00
10
01
11
10
10
00
10
10
01
00
10
11
11
11
10
00
01
00
11
01
00
01
11
00
00
10
11
10
00
01
11
00
10
11
00
11
11
00
01
11
10
00
00
10
00
10
10
00
10
01
01
00
00
10
01
00
01
10
10
00
11
00
01
00
11
10
10
00
00
01
10
00
01
01
01
10
10
01
01
00
10
11
00
10
10
11
01
00
00
00
10
00
10
10
01
10
10
10
10
00
01
11
01
01
01
11
00
10
00
00
11
10
01
00
11
11
10
10
00
10
00
10
01
00
01
01
00
01
10
01
10
10
00
01
10
10
11
00
01
00
00
10
10
11
10
10
00
11
01
11
00
00
00
01
10
11
10
01
00
10
11
01
00
10
10
10
00
01
01
11
10
00
10
01
00
10
11
00
01
01
11
01
01
01
11
10
01
11
00
01
00
11
10
11
01
10
10
00
10
10
00
00
00
10
00
00
11
10
00
00
00
00
10
10
00
10
01
11
11
00
11
00
01
10
10
11
00
10
00
00
10
11
10
01
00
01
00
00
10
10
01
10
01
00
00
00
11
10
00
11
11
10
01
10
10
00
01
11
00
00
11
10
01
10
00
00
00
00
10
00
10
10
11
00
10
00
10
10
01
00
00
00
00
11
10
11
10
00
10
00
10
01
00
11
11
00
01
00
01
01
00
10
10
00
10
00
00
00
01
10
00
01
00
01
10
10
11
01
11
11
00
01
01
10
10
00
00
10
00
00
10
00
00
10
01
00
10
00
10
10
10
00
11
10
01
10
00
01
00
10
00
01
01
00
01
10
00
00
10
00
11
10
10
10
00
11
01
00
11
11
11
10
01
00
10
00
00
11
11
00
01
01
11
10
10
10
00
01
11
11
10
10
01
00
00
10
00
00
00
00
11
11
00
10
10
11
01
00
00
10
10
01
10
11
01
00
01
10
00
01
10
10
10
10
10
11
00
10
11
11
11
01
01
00
11
11
00
00
10
00
11
00
00
00
00
10
00
00
11
01
00
11
00
01
01
00
01
10
00
11
10
00
10
10
00
11
00
10
10
00
10
00
01
11
01
00
00
11
11
00
10
10
00
10
00
01
11
11
00
10
00
10
00
10
10
00
01
10
00
00
00
00
10
11
10
10
10
00
10
00
11
11
11
00
01
00
00
00
01
11
10
01
01
11
01
00
00
10
00
10
10
01
01
11
01
10
11
10
00
10
10
01
00
11
11
10
00
11
10
10
10
01
00
10
00
00
01
11
00
10
10
01
10
01
01
00
10
10
10
00
00
10
10
01
10
01
00
10
00
10
10
00
00
00
11
10
10
00
10
10
11
00
01
10
11
00
00
10
10
01
01
10
10
00
01
00
01
00
10
00
10
00
00
11
10
00
10
00
10
10
10
11
00
01
11
00
00
10
10
01
00
11
01
10
10
11
00
00
11
10
00
00
01
01
10
11
10
10
00
00
01
10
00
01
00
00
10
10
10
01
00
11
11
11
10
10
11
00
00
00
10
10
00
10
11
00
00
01
00
10
11
00
01
10
11
10
01
10
10
00
00
10
10
01
01
10
10
01
00
10
11
00
00
00
00
10
00
01
11
10
10
10
01
00
01
10
10
11
01
00
00
00
11
10
10
00
00
00
00
11
00
10
10
00
10
00
10
11
01
01
11
00
00
00
00
10
00
01
10
00
00
10
00
11
00
01
10
01
00
11
10
10
00
01
00
00
11
10
01
01
00
00
00
10
10
00
00
11
10
10
10
10
10
01
10
10
01
10
00
11
11
01
11
11
00
10
11
00
00
10
11
00
01
10
00
00
10
10
11
01
10
00
01
00
11
01
00
10
11
01
00
10
10
00
00
00
11
10
11
10
10
00
10
11
01
01
11
00
00
00
10
10
10
00
10
10
00
10
00
11
01
00
11
00
11
10
10
00
00
10
10
11
01
00
11
10
00
10
10
10
10
00
00
11
10
10
10
10
10
11
10
11
10
01
10
10
00
10
01
01
01
00
01
10
00
10
11
01
11
10
01
01
10
11
10
10
00
11
10
00
01
10
11
10
10
01
00
11
11
01
00
01
00
10
00
00
10
10
00
00
00
11
11
00
01
10
11
00
10
10
00
01
00
00
10
10
01
10
10
10
00
00
10
10
01
10
11
10
00
00
00
00
10
01
01
10
11
00
10
00
01
00
00
01
11
00
00
10
11
10
01
10
01
10
10
00
00
00
00
10
11
00
00
10
10
11
00
11
01
01
11
10
00
01
00
11
10
10
10
11
00
00
11
10
10
00
00
10
10
00
01
01
00
10
11
10
01
10
10
00
01
10
01
10
10
01
00
11
11
10
01
00
01
00
10
01
11
11
10
10
00
01
00
00
11
10
01
11
10
00
00
10
10
01
00
11
10
11
01
11
01
11
00
00
01
10
10
00
00
11
11
00
10
10
00
10
10
00
00
10
00
11
10
01
10
10
10
01
11
01
00
11
11
11
11
11
11
10
11
00
00
00
10
10
00
00
11
00
11
00
10
10
11
01
10
01
11
11
00
10
00
01
10
10
10
01
10
10
10
00
00
11
01
00
11
11
11
00
10
11
00
01
11
10
11
01
10
00
00
00
10
10
00
00
10
10
01
10
11
11
11
00
11
01
11
10
00
10
10
00
00
10
10
10
10
00
01
10
01
00
10
00
11
11
11
00
00
10
10
11
10
01
01
10
11
10
10
00
00
10
10
01
00
01
10
01
10
11
01
10
11
10
00
01
11
11
00
00
00
00
10
10
01
10
11
00
00
11
10
00
00
00
10
11
01
10
00
00
10
10
11
01
10
10
00
01
00
10
11
00
01
10
00
10
10
01
00
11
10
10
00
10
01
00
01
10
01
00
11
00
10
00
00
11
10
01
01
10
00
10
10
10
01
00
00
10
10
11
01
00
00
00
10
11
11
11
00
00
10
11
01
10
11
00
01
10
11
00
00
00
00
11
11
00
11
10
10
00
10
10
11
10
00
01
00
10
00
10
10
00
01
10
10
10
10
11
00
10
01
10
11
00
01
11
01
00
11
10
00
00
10
11
01
11
11
10
11
11
10
00
00
10
10
10
00
00
10
00
01
11
10
00
00
10
10
01
00
01
10
00
10
10
10
11
10
01
00
10
00
00
01
01
10
10
01
00
00
00
10
01
10
10
00
00
10
00
00
11
00
00
10
00
00
00
11
11
01
10
00
00
10
11
10
00
00
00
10
10
00
00
10
01
10
11
10
10
00
11
00
00
00
11
10
00
00
10
01
10
01
00
10
10
00
10
00
00
10
11
01
00
11
01
10
01
00
00
11
00
11
11
01
00
10
01
00
00
10
11
00
11
11
00
10
00
10
01
01
10
10
00
10
00
10
10
00
01
11
10
11
10
00
10
11
00
00
00
11
10
00
01
10
10
10
11
10
00
00
10
10
00
01
10
11
10
01
00
00
11
00
00
01
10
10
00
00
10
00
00
10
11
11
10
10
11
10
01
00
00
01
10
10
10
10
00
11
10
00
00
10
00
10
11
11
10
00
10
00
00
10
00
00
10
11
11
01
10
10
00
11
00
10
10
00
00
01
10
10
11
00
11
00
10
01
00
11
00
10
00
01
10
01
00
11
11
00
11
10
00
00
00
10
10
00
00
00
01
10
10
11
01
01
01
10
10
00
00
11
01
01
11
00
01
01
00
00
10
10
01
00
11
10
10
10
01
11
00
10
00
00
10
01
10
10
00
01
00
01
00
11
10
11
10
00
01
10
00
10
10
01
00
00
10
00
11
10
11
00
00
11
11
00
00
10
10
11
01
01
10
00
00
00
10
01
10
10
01
10
10
10
10
01
00
10
10
01
01
11
00
00
11
10
00
01
11
10
11
01
00
10
01
11
10
01
00
11
10
00
10
11
00
00
00
00
10
01
00
00
11
10
10
11
11
00
00
01
10
10
00
00
10
00
00
10
10
01
10
01
10
01
10
00
00
01
10
01
10
11
00
01
00
11
11
00
00
10
01
10
11
01
00
01
11
10
10
11
10
00
10
11
00
10
01
11
11
00
10
10
01
10
00
00
10
10
00
00
10
00
10
01
00
10
10
10
10
00
00
11
10
10
11
00
11
10
11
11
00
01
00
11
00
01
10
01
11
10
00
00
11
01
00
10
10
01
11
11
10
00
01
10
11
10
10
00
00
00
01
00
11
01
00
11
00
11
00
10
10
01
00
00
00
10
01
01
10
00
10
01
11
11
10
10
01
00
11
11
01
00
11
01
10
00
10
00
11
10
00
00
10
10
10
01
01
00
01
10
01
00
11
01
11
11
00
01
11
10
10
10
00
00
11
11
00
00
11
10
01
00
00
00
10
10
00
00
11
10
00
10
11
10
01
01
01
01
11
11
01
00
11
11
00
01
11
10
00
01
00
10
01
00
11
10
00
10
10
10
10
01
01
01
11
10
11
10
11
01
10
11
00
01
00
10
10
00
11
10
00
00
10
01
00
10
10
11
00
00
00
10
00
10
11
00
01
11
10
00
10
10
00
11
00
00
00
00
10
00
00
11
00
00
10
10
10
10
10
00
00
10
01
10
00
01
10
11
00
01
11
01
00
00
11
11
00
00
11
11
00
11
01
00
00
10
00
01
10
10
11
10
10
00
00
10
10
00
11
10
10
10
01
01
10
00
00
10
11
00
10
11
01
00
10
10
01
01
01
01
10
11
00
10
10
00
01
11
00
11
00
11
10
10
01
10
00
00
10
10
00
10
10
10
00
00
10
00
10
00
00
11
00
10
10
01
10
00
10
00
01
10
11
00
00
11
10
10
00
10
10
00
00
00
11
00
10
00
00
11
00
00
10
11
00
10
10
00
11
10
11
11
00
10
10
10
00
00
10
10
00
01
01
00
00
01
00
10
01
01
11
00
10
10
00
11
10
01
01
10
00
00
10
00
01
11
10
11
00
00
00
10
11
01
10
10
11
01
00
10
00
10
00
00
00
01
00
00
11
10
01
00
10
10
10
10
10
11
01
11
00
00
01
01
00
10
00
01
00
11
01
10
11
00
01
10
00
01
00
11
10
10
00
10
00
10
01
00
10
10
11
00
00
10
10
10
10
11
00
01
01
10
10
00
10
10
00
11
01
00
10
01
01
10
00
00
11
00
10
00
00
10
11
10
00
01
01
11
01
10
11
01
00
10
01
00
10
10
00
00
11
11
10
00
10
10
10
00
10
00
00
01
11
00
00
10
11
10
00
10
11
01
10
01
01
10
10
10
11
11
10
01
10
10
11
00
10
10
01
11
10
01
00
00
00
00
10
11
01
00
01
10
10
00
11
10
10
01
00
00
10
00
00
10
00
00
10
00
11
00
10
10
10
10
01
01
10
10
00
11
01
00
00
00
00
10
00
00
10
10
11
01
01
00
01
00
10
10
01
00
11
01
00
00
01
10
10
11
11
00
01
11
00
11
01
01
11
10
01
00
00
00
11
10
10
11
10
01
00
10
01
00
10
10
11
01
11
00
00
10
00
11
10
10
00
10
00
00
10
00
00
00
01
10
11
01
00
00
01
00
10
01
10
10
11
00
10
00
01
10
00
00
01
01
10
00
10
10
11
10
00
00
10
11
00
11
01
10
10
10
10
00
00
10
10
00
10
10
01
00
00
01
10
01
00
00
00
00
00
11
10
10
00
01
01
00
01
10
01
11
00
00
11
01
00
00
00
10
10
10
10
01
00
01
00
00
10
11
11
10
10
01
10
10
00
10
10
00
00
00
10
00
00
00
10
10
11
11
00
10
10
01
01
10
11
00
00
10
00
01
01
01
10
10
00
00
00
00
10
11
00
00
00
00
10
10
10
11
00
00
00
10
00
10
00
01
10
00
10
00
10
01
01
10
01
00
00
00
10
10
10
11
01
10
10
01
01
10
10
10
11
00
11
10
01
10
00
10
01
01
11
11
00
00
11
01
10
11
00
01
00
11
11
00
01
10
00
10
01
00
10
10
01
00
10
10
01
10
01
01
10
10
01
00
00
10
10
11
00
11
00
10
00
00
11
00
00
11
11
00
10
10
00
00
00
00
11
10
01
11
00
00
10
01
10
00
01
10
10
01
10
00
00
01
00
11
10
11
00
10
10
00
01
10
00
10
00
11
10
10
00
00
11
11
10
10
11
01
00
11
10
10
10
00
00
11
10
01
01
00
10
00
00
10
00
10
11
10
00
10
10
01
00
01
10
00
01
10
10
10
10
00
00
00
10
10
10
00
00
01
00
10
10
00
00
11
01
01
10
11
10
01
01
01
10
11
10
00
10
11
00
01
00
10
01
01
10
10
10
00
10
11
01
10
11
10
10
00
10
10
10
10
00
11
00
10
11
00
00
00
10
01
10
01
10
00
10
10
10
10
00
00
00
10
11
10
01
01
00
10
10
10
00
10
11
10
00
10
10
11
01
00
10
11
10
01
10
00
01
10
11
10
00
10
10
11
00
10
10
00
00
00
01
10
11
01
01
11
01
11
11
10
00
11
11
00
00
11
10
00
10
10
10
10
10
00
00
00
10
10
10
11
00
00
00
10
00
10
10
00
00
00
10
10
00
00
10
11
10
10
00
10
00
01
00
11
11
00
10
01
10
10
00
00
00
10
10
01
11
10
00
01
11
00
00
00
11
10
00
10
00
00
10
11
01
11
11
00
10
10
10
00
01
10
10
00
00
00
10
11
00
10
10
01
00
10
00
11
10
10
10
00
10
01
00
11
01
01
10
10
00
01
00
11
11
01
00
00
00
11
10
10
00
00
11
00
01
11
10
00
01
01
00
00
10
10
10
00
10
10
01
00
10
01
01
11
10
01
00
00
11
10
11
00
00
11
11
11
10
10
10
00
10
00
00
11
00
00
10
10
01
10
00
00
11
01
10
11
00
10
01
10
00
01
11
10
11
10
10
00
00
11
01
01
10
10
11
01
00
01
00
00
00
01
10
10
11
01
10
10
00
11
00
01
11
10
10
00
00
10
10
00
10
00
10
00
10
00
01
10
10
00
11
00
01
10
00
00
11
00
00
10
10
00
00
00
00
00
01
11
00
01
11
10
10
10
10
00
00
10
00
10
11
10
10
01
10
00
11
00
10
10
01
11
10
11
00
11
10
10
10
00
01
10
10
10
01
10
01
01
00
11
11
10
10
10
00
00
10
00
10
10
10
00
01
10
11
00
10
11
11
10
00
00
11
00
01
10
10
11
11
00
11
10
00
00
11
00
11
00
01
00
00
10
10
00
01
00
11
10
11
00
10
00
01
01
00
11
11
10
00
01
00
11
10
00
10
10
10
01
00
10
10
00
11
00
10
10
00
01
11
11
11
01
01
10
00
00
00
10
10
00
10
00
00
10
01
11
10
11
01
00
01
10
00
00
10
00
11
11
00
10
10
10
00
10
11
01
11
11
00
10
10
00
01
01
10
11
01
00
10
10
01
01
10
10
10
00
01
00
10
10
11
10
10
10
01
00
00
10
11
10
00
00
01
00
11
00
10
00
00
10
00
10
11
00
01
00
11
10
10
11
11
11
00
10
01
10
01
10
11
00
10
11
00
01
10
11
01
00
01
10
00
00
01
10
10
01
11
00
00
11
00
11
00
10
01
00
10
00
01
10
11
10
00
11
10
00
10
10
01
10
10
00
01
10
10
10
10
01
00
00
10
11
00
00
10
00
00
10
11
10
01
00
10
10
00
00
10
00
00
11
10
00
11
11
00
01
01
10
11
11
00
00
10
00
11
00
00
11
10
10
11
10
00
00
10
10
10
00
11
10
00
00
01
01
00
00
00
01
01
11
11
11
10
00
10
10
01
01
10
11
11
00
01
11
00
00
10
00
10
01
00
10
10
01
10
00
01
01
01
01
11
10
00
01
00
10
10
00
01
10
01
01
01
10
10
11
00
00
10
00
00
01
01
10
00
01
00
01
11
10
10
01
10
11
00
00
10
01
10
00
10
10
10
00
01
10
00
01
01
01
10
10
10
01
01
01
11
10
11
00
10
10
00
01
11
10
10
11
01
01
10
10
00
00
00
01
11
11
10
00
11
10
00
01
01
10
11
01
11
10
01
10
00
00
01
01
01
11
10
10
00
00
10
10
00
11
01
01
01
00
00
10
00
10
01
00
10
00
10
11
01
11
10
00
10
11
10
01
00
10
10
10
10
00
10
00
00
10
00
00
00
10
01
00
11
01
11
00
10
10
00
11
01
10
10
00
10
10
10
00
10
00
01
00
00
00
01
00
10
00
00
00
00
10
10
10
11
10
00
01
00
10
01
11
00
11
10
10
11
00
00
01
10
10
01
10
11
01
10
00
10
10
01
00
00
10
10
10
01
10
11
01
01
11
00
11
00
00
00
10
10
00
01
10
00
11
10
11
00
10
10
00
00
11
01
01
11
10
01
11
00
11
00
00
11
10
10
11
00
00
01
01
00
10
10
11
01
00
00
10
00
01
01
00
10
11
01
00
11
00
00
00
10
10
00
00
10
00
00
10
10
01
10
00
00
00
00
10
10
11
00
01
00
10
00
10
10
10
00
01
11
10
00
11
11
00
10
00
01
00
11
10
10
11
01
11
00
00
10
00
00
00
10
10
00
00
10
10
00
01
00
00
00
00
10
00
00
10
10
01
00
11
01
00
10
01
00
11
10
00
01
10
11
10
00
00
00
01
00
00
10
10
00
01
10
00
10
00
01
00
10
10
10
00
11
10
11
11
01
00
11
11
00
00
10
11
01
01
11
01
01
00
10
10
00
01
00
01
00
00
00
01
10
11
00
10
10
11
01
00
10
11
10
01
10
10
00
11
10
01
10
10
00
00
01
01
11
10
11
01
00
01
10
00
11
10
10
01
00
10
01
10
10
00
00
10
00
01
00
00
10
00
00
10
10
00
00
10
10
10
01
00
00
10
00
10
00
00
00
10
10
10
00
01
10
11
10
10
11
00
00
11
10
00
01
00
10
00
01
10
10
00
10
10
11
00
00
00
00
10
10
00
10
00
01
00
10
10
00
11
01
00
01
10
01
01
01
00
11
10
11
00
01
10
00
10
10
10
00
00
00
00
00
10
10
11
01
11
00
10
00
01
01
11
10
00
10
00
10
11
11
00
10
10
10
00
00
11
01
01
11
00
01
00
11
10
01
00
00
00
10
11
00
11
10
11
10
10
01
01
00
10
11
00
00
00
00
10
10
00
00
01
10
10
01
11
10
11
01
10
10
01
00
11
00
01
00
00
10
11
10
01
00
10
01
01
01
11
00
00
00
11
00
00
00
10
10
01
10
01
00
00
10
00
11
10
00
00
11
10
00
00
10
10
10
00
11
10
00
10
00
00
10
10
00
11
10
10
00
11
00
10
00
00
10
11
01
11
10
00
10
01
00
01
00
10
00
10
00
11
11
10
01
10
01
10
11
00
11
11
01
01
10
01
11
11
01
00
10
11
00
00
00
10
10
01
10
11
00
00
01
01
11
10
01
00
10
10
01
01
10
10
10
11
00
10
01
01
01
11
11
10
00
01
10
11
00
00
00
00
10
01
10
11
11
11
11
11
10
10
01
00
11
10
01
00
00
10
01
10
00
01
11
11
01
10
10
11
00
10
10
00
10
00
00
10
00
00
01
11
01
10
00
00
01
01
10
01
11
10
11
00
10
10
00
00
10
00
10
00
00
00
11
01
01
11
11
01
00
01
10
10
10
00
00
11
10
10
00
10
00
00
10
10
11
01
00
01
10
01
01
11
11
00
00
00
11
10
00
11
10
10
00
00
11
11
00
01
11
10
10
11
01
10
00
00
11
10
11
00
10
00
10
10
01
11
10
00
00
11
00
01
11
10
01
00
01
00
11
10
00
00
10
00
00
11
11
10
10
10
10
10
00
00
10
00
00
00
00
10
00
10
00
10
10
00
00
10
00
01
10
11
10
10
00
10
00
10
10
00
01
01
11
11
10
11
00
11
10
00
00
10
10
01
00
10
10
10
11
11
00
10
11
01
00
10
10
00
10
01
11
00
01
01
11
10
10
10
00
01
01
10
10
11
01
10
10
01
10
10
10
01
00
00
00
10
00
01
00
11
10
00
10
01
10
00
01
10
01
10
10
10
10
11
00
10
10
00
00
00
01
01
10
01
10
00
10
10
00
01
11
11
10
01
00
00
01
00
10
10
01
00
00
11
00
11
11
10
00
00
10
11
10
10
10
01
01
10
11
01
01
01
01
01
11
00
00
10
10
01
01
10
11
00
00
01
10
10
01
00
11
00
00
10
10
01
01
10
00
00
01
10
00
00
10
00
10
00
01
00
00
11
11
10
01
10
00
01
00
00
00
10
10
00
00
11
11
00
10
00
01
00
10
00
00
11
01
00
10
01
01
10
01
11
00
10
10
00
01
11
11
00
00
10
11
00
01
10
11
00
11
10
00
01
00
01
10
11
11
00
00
11
11
00
10
01
00
10
00
00
10
10
10
01
01
11
01
10
10
10
00
11
10
00
00
11
00
00
10
00
10
10
10
01
01
10
10
10
10
10
00
01
10
10
00
00
00
10
10
10
10
11
00
01
00
00
10
10
00
10
10
01
00
00
10
10
01
10
10
00
10
10
00
01
01
11
10
11
00
00
10
11
01
01
11
11
01
00
00
01
10
10
00
00
00
10
11
10
10
11
10
11
00
00
00
11
10
01
10
10
00
11
10
00
00
11
11
01
01
01
00
11
00
10
11
01
00
11
00
11
10
00
00
00
00
00
01
11
00
10
11
00
01
01
01
00
00
10
00
00
11
10
00
00
00
10
00
10
10
00
00
00
10
10
00
10
01
11
10
00
10
00
10
00
01
10
11
10
11
00
00
00
00
00
10
00
00
00
10
01
10
11
01
11
10
00
10
01
11
01
01
11
00
11
10
01
10
10
01
01
10
11
00
01
00
10
00
00
10
11
10
00
10
01
10
01
10
10
00
10
10
01
01
11
00
00
00
00
10
00
10
10
11
01
10
00
10
01
00
10
00
01
11
10
11
00
00
11
10
10
11
10
01
10
00
00
00
10
00
11
10
10
00
10
00
10
11
10
11
10
00
10
00
00
01
00
10
00
00
10
01
01
10
00
10
00
00
10
00
00
10
10
10
01
00
11
01
00
01
01
10
00
10
11
00
11
10
10
10
00
10
00
00
10
01
00
10
01
01
00
10
00
11
10
01
11
10
01
00
01
00
10
10
10
11
00
00
00
10
10
00
01
11
10
00
10
10
10
01
00
00
10
10
10
01
10
11
01
01
10
10
11
00
01
10
00
00
01
00
10
10
10
01
00
10
01
01
10
10
10
00
01
11
10
10
10
11
10
01
10
10
01
10
10
10
00
00
10
10
11
00
01
11
00
10
10
11
00
00
10
10
00
00
00
00
00
00
10
01
10
00
00
11
01
11
10
11
10
00
01
00
00
10
00
01
11
10
10
01
10
10
11
10
00
11
10
01
00
11
11
01
11
11
01
01
01
10
01
01
10
11
01
01
00
00
10
00
10
11
11
01
00
10
00
00
11
10
00
00
10
10
10
11
10
10
01
01
11
11
11
10
10
11
11
01
00
10
11
10
00
00
00
10
10
00
10
00
00
10
10
10
10
10
11
00
11
00
11
10
01
00
11
10
00
00
10
11
00
00
01
11
11
01
01
11
10
10
10
11
01
01
01
10
10
01
00
11
00
00
11
10
00
10
10
00
10
00
00
11
10
10
01
01
10
10
00
00
11
10
00
10
01
01
10
01
00
10
10
01
10
00
00
10
00
10
00
00
01
10
10
00
00
00
11
00
01
10
01
10
10
00
01
11
11
11
10
10
00
00
00
11
11
01
00
00
01
00
11
11
10
00
00
00
10
10
00
10
00
00
01
01
00
01
00
10
01
10
10
10
10
01
10
10
01
11
00
11
10
10
01
01
11
10
00
01
00
00
10
10
00
00
10
00
10
00
10
01
00
00
10
10
01
00
11
00
01
10
00
10
11
00
11
01
01
00
10
00
01
00
10
00
10
10
00
00
01
10
10
01
10
11
00
11
00
00
10
00
11
10
01
01
10
00
11
10
00
10
10
00
00
10
01
01
00
11
00
01
01
00
11
10
01
00
10
00
00
10
11
00
10
11
10
00
00
00
01
00
11
10
01
10
00
00
00
00
00
00
00
10
10
01
11
00
11
10
00
11
01
10
11
00
00
10
11
10
00
00
01
00
10
11
10
01
11
00
00
10
01
10
00
01
11
00
11
00
11
00
10
11
00
01
11
01
00
10
00
10
00
00
10
10
10
00
00
10
01
00
01
00
10
10
10
10
10
11
01
01
00
11
10
10
00
01
00
11
00
10
01
10
10
10
10
00
10
11
10
11
01
00
10
00
10
00
11
01
00
10
01
11
01
11
10
11
01
11
10
10
01
01
00
00
10
10
00
00
00
01
01
11
01
01
00
10
00
01
11
10
00
01
01
10
10
01
10
10
10
01
11
00
00
01
00
11
00
10
11
10
00
01
11
10
01
11
00
10
10
11
01
00
10
10
01
10
10
00
11
00
10
10
10
11
00
10
01
10
00
10
00
10
01
00
01
10
01
10
10
00
00
00
10
00
00
11
00
10
10
10
10
10
10
00
00
10
10
01
01
10
11
01
00
10
01
11
00
11
10
00
00
11
00
10
11
00
01
10
00
00
00
11
00
01
11
00
01
10
00
10
11
00
10
00
00
11
00
01
11
01
01
01
00
00
00
10
11
00
00
01
10
10
01
11
10
10
10
10
00
01
00
01
10
10
01
00
10
10
11
00
00
10
01
00
00
00
10
11
10
11
10
00
00
10
10
00
01
10
00
11
00
01
10
01
01
01
00
10
10
00
11
00
00
00
11
10
00
11
10
01
00
00
11
10
01
10
10
00
10
00
10
10
10
01
11
10
00
00
00
11
10
00
11
00
01
10
00
00
11
01
11
00
01
00
11
10
00
10
10
01
00
10
11
00
01
11
10
00
00
11
11
00
00
10
10
00
01
00
00
10
10
10
11
01
00
11
10
10
10
10
10
00
01
10
11
01
11
00
00
10
10
10
10
00
10
11
00
11
00
10
00
01
00
10
10
00
11
11
11
00
01
11
10
00
10
10
00
00
00
00
00
10
00
00
10
11
10
11
00
00
00
10
00
00
00
10
10
00
01
01
00
01
00
01
10
11
00
01
11
11
01
01
10
00
10
01
00
10
10
10
11
00
10
01
01
10
11
10
00
00
10
11
00
00
10
11
10
11
10
10
00
00
00
01
00
10
00
10
10
11
11
00
10
11
10
10
10
10
11
11
10
01
01
00
11
10
11
01
00
10
01
10
11
00
00
00
10
11
00
01
10
01
11
01
11
00
11
10
10
10
00
00
11
01
00
10
00
00
01
00
10
00
01
11
11
01
10
10
10
01
11
10
01
01
01
10
10
00
10
10
00
00
11
11
00
10
10
10
10
01
00
10
10
01
10
00
01
10
00
00
11
10
00
10
10
00
01
10
01
10
01
01
10
00
10
10
10
00
00
10
11
11
11
11
10
00
00
10
00
00
11
11
00
10
10
10
10
10
01
00
11
00
00
10
00
11
11
10
00
10
00
00
01
01
01
10
01
00
00
11
00
11
10
00
10
01
10
11
10
00
00
11
00
11
10
00
00
01
00
10
00
01
01
11
00
00
00
00
10
10
00
00
10
10
10
00
10
00
10
10
10
00
00
11
11
10
10
00
10
00
01
10
10
11
11
11
01
01
01
00
11
00
00
11
10
01
01
11
10
00
00
01
00
11
11
10
00
10
00
10
10
00
00
00
10
00
00
00
01
01
10
10
01
00
11
11
01
01
00
00
00
10
11
10
01
01
01
00
10
00
10
00
00
00
10
10
01
00
10
11
10
00
10
11
01
00
11
00
00
00
10
10
00
10
01
01
11
10
11
00
00
10
00
00
11
01
10
01
10
01
00
00
10
10
10
00
00
10
00
10
00
11
00
10
10
01
00
01
10
11
00
00
01
11
00
01
00
11
11
10
01
00
00
10
10
00
01
10
10
01
00
10
01
10
10
00
00
11
00
00
00
00
01
10
00
00
00
11
00
11
11
01
11
10
11
10
00
00
10
10
00
00
10
11
10
10
10
10
10
00
00
10
00
10
01
10
00
00
10
01
00
11
00
10
00
01
10
00
00
10
00
01
10
00
00
10
10
00
01
00
10
10
10
00
01
00
01
10
00
01
01
00
11
10
01
10
10
10
00
10
10
01
00
00
10
00
10
00
10
10
11
11
11
01
00
00
01
11
10
10
11
01
01
01
10
10
10
10
10
00
01
11
00
01
10
00
10
11
01
10
10
10
10
00
00
00
01
10
10
11
10
00
00
00
10
00
01
10
00
00
01
00
11
00
10
10
01
01
10
00
00
10
10
10
10
10
10
10
11
00
01
11
10
10
11
11
00
01
10
10
00
10
01
10
01
00
01
10
00
10
00
00
10
00
00
01
00
11
10
01
10
11
10
01
10
10
00
00
10
10
10
10
10
10
10
11
10
01
01
10
10
10
01
01
00
10
00
11
00
00
10
00
11
11
01
11
00
10
10
00
11
00
01
11
11
11
10
01
00
01
11
11
10
00
01
11
10
10
01
01
10
00
11
00
10
10
11
01
00
01
00
01
10
10
01
01
10
11
10
00
10
00
00
11
10
00
01
11
11
10
10
10
00
10
00
01
10
00
11
00
11
11
00
01
00
10
01
11
10
11
00
00
10
00
10
10
01
00
10
10
00
10
00
10
11
10
01
00
11
00
01
00
00
10
10
01
10
10
00
00
10
10
01
10
01
10
00
01
10
10
00
10
10
00
10
10
00
00
11
00
00
10
11
11
11
00
10
10
01
01
00
01
11
00
11
11
01
10
01
00
11
11
00
01
01
00
11
00
00
10
10
01
00
10
10
10
01
00
01
11
00
10
00
10
10
00
11
01
01
10
11
00
10
10
00
10
10
10
01
01
10
00
11
10
11
10
11
01
00
00
00
01
10
10
00
11
10
11
10
00
10
10
00
10
01
00
10
11
00
00
01
00
10
00
00
00
10
01
01
11
10
10
01
10
01
10
10
01
10
11
00
10
11
01
00
00
00
00
10
11
10
00
10
10
00
10
01
10
00
01
00
10
11
00
10
01
00
11
11
00
00
10
10
00
11
11
10
00
00
11
11
01
00
00
01
10
10
00
10
11
00
00
00
01
11
01
00
01
00
11
00
10
10
10
01
00
00
10
00
10
11
11
00
10
01
00
11
10
00
00
11
00
01
01
10
11
00
00
01
01
01
11
01
00
11
00
10
11
01
01
01
10
11
11
10
10
01
00
10
10
11
11
00
11
10
01
01
10
10
00
10
00
00
00
00
01
10
10
00
10
10
10
10
10
11
00
11
11
01
01
10
00
10
00
00
11
11
01
00
00
10
00
10
11
10
01
10
10
00
00
10
01
00
10
00
10
00
11
00
00
10
11
00
00
10
10
10
10
10
00
00
10
01
10
10
00
10
11
11
00
01
00
00
00
01
10
11
00
00
01
10
00
00
11
11
00
10
00
10
00
00
01
10
00
11
10
01
00
11
11
10
01
10
11
00
01
10
00
01
10
10
01
00
11
11
00
00
11
10
11
11
00
00
10
11
00
01
11
10
00
00
11
01
11
00
00
10
10
00
01
01
10
00
00
10
00
01
10
01
11
10
10
01
10
11
01
11
01
11
10
10
01
01
11
10
00
00
11
11
10
11
00
00
00
10
10
00
01
11
10
00
10
00
10
10
11
11
11
10
10
00
00
10
01
10
10
10
01
10
01
00
00
00
01
00
00
00
10
10
01
10
10
00
01
01
11
10
00
00
10
10
00
10
11
10
01
00
00
00
10
10
10
00
01
00
11
10
11
00
01
10
01
11
11
01
01
01
10
11
00
10
00
00
11
00
01
10
10
00
10
10
10
11
10
10
00
01
00
11
11
11
10
01
11
00
10
00
00
10
11
00
11
00
00
10
00
11
00
10
11
10
01
00
01
10
11
00
11
10
00
10
01
00
11
00
00
10
00
10
00
10
10
00
00
00
01
00
10
10
10
01
10
11
01
11
10
00
00
10
00
01
10
11
00
01
11
10
00
00
01
11
10
00
00
10
10
10
10
00
10
00
00
10
00
10
10
10
11
01
00
10
10
00
10
11
00
00
10
10
00
00
01
11
00
00
01
00
11
00
01
10
01
01
10
01
00
10
00
01
11
10
10
00
11
00
00
00
00
10
11
10
00
11
10
10
00
10
10
00
00
11
00
10
00
01
00
10
00
00
00
10
10
10
01
00
11
10
01
10
11
10
00
10
10
11
00
10
11
11
00
11
10
00
01
00
10
11
10
00
00
11
10
10
00
01
10
10
10
00
11
01
00
11
00
00
00
00
10
10
01
11
11
10
01
10
10
00
00
11
10
00
00
11
10
11
00
01
10
00
10
10
11
01
00
00
10
10
11
11
01
11
01
10
00
01
00
01
00
10
10
11
00
00
00
10
11
00
10
10
11
00
00
00
10
00
10
10
10
00
00
00
11
10
00
10
00
01
10
11
11
00
01
00
00
01
11
10
00
00
11
10
10
00
01
10
11
01
11
10
00
00
00
10
10
10
00
00
10
00
10
00
01
11
01
01
10
00
01
00
10
11
00
01
11
11
10
10
01
11
01
01
00
11
11
10
00
00
11
10
00
00
11
10
10
10
11
00
11
00
00
10
00
00
00
10
11
01
10
00
00
10
00
01
00
10
00
00
10
00
10
00
00
00
10
10
10
00
10
11
01
00
10
10
00
10
00
00
10
10
10
00
01
01
00
00
10
01
11
10
00
01
10
11
01
10
00
11
10
00
00
10
01
10
10
00
00
00
01
11
00
10
10
10
00
00
00
10
00
00
11
11
01
01
00
00
00
00
10
11
00
01
00
01
01
00
00
11
10
01
00
11
10
01
00
10
11
01
01
01
00
00
10
00
10
10
10
00
00
00
00
11
10
01
00
01
10
00
11
11
10
00
00
00
00
00
11
11
10
10
10
10
10
00
01
00
10
00
10
10
10
00
00
01
10
10
01
00
01
00
11
00
01
10
11
01
00
00
10
10
00
00
10
00
11
00
10
00
11
00
10
00
00
11
00
01
11
00
10
01
11
10
01
01
01
10
10
10
00
00
10
10
01
10
10
01
11
00
00
00
11
10
10
10
00
00
11
00
00
01
11
00
01
01
00
00
10
11
10
00
00
00
10
10
10
01
10
11
00
00
10
10
11
00
00
10
00
00
10
10
00
01
11
11
11
00
00
11
10
10
00
10
11
10
01
01
00
00
10
10
01
10
10
00
01
10
10
00
11
10
00
01
10
00
00
00
11
11
10
10
01
00
01
01
10
10
01
00
11
11
01
01
10
10
11
00
10
11
01
00
11
10
00
10
11
01
10
10
01
10
11
10
01
10
10
00
00
11
00
10
10
00
10
10
00
00
11
00
10
11
10
10
01
01
00
01
00
11
10
01
00
11
00
10
00
00
10
10
00
00
10
10
10
01
10
01
00
00
00
00
11
11
10
01
11
00
00
11
10
00
01
10
01
00
10
00
00
10
11
00
01
01
11
10
10
10
00
10
10
00
11
00
00
11
00
00
00
10
10
01
00
10
10
01
00
00
00
01
00
00
10
10
00
00
00
10
10
00
01
00
10
00
10
01
00
01
00
00
00
11
00
00
10
00
10
01
11
01
01
10
10
00
10
11
00
00
10
11
10
11
00
11
10
00
11
10
00
10
10
00
11
00
01
00
10
10
10
00
10
00
00
11
10
11
00
10
00
10
11
01
00
10
10
01
10
01
00
10
11
00
00
11
11
00
10
01
00
10
00
10
00
11
11
00
11
11
10
10
11
10
10
11
00
00
10
00
00
10
10
10
00
00
00
00
11
00
10
10
01
00
10
11
01
00
00
00
11
10
00
01
10
00
11
01
00
10
10
11
00
00
10
11
11
10
11
11
11
01
00
00
10
00
10
00
01
11
10
10
00
11
11
10
01
10
10
00
10
01
00
01
10
00
01
01
10
01
00
10
10
01
10
00
00
10
10
10
10
00
10
11
10
00
00
11
10
10
01
00
00
01
10
10
10
00
01
10
00
01
00
10
10
10
10
00
11
00
10
00
01
10
00
00
10
00
00
10
00
00
10
00
10
01
10
10
01
10
11
00
11
10
00
10
00
00
11
01
00
10
11
00
00
00
10
11
00
00
01
11
10
11
00
10
10
10
00
00
10
11
10
00
10
10
00
10
00
00
00
11
10
11
10
01
10
10
00
11
11
00
10
10
01
00
00
11
10
00
11
01
10
10
01
01
01
11
01
01
01
01
10
11
00
00
11
11
00
01
00
10
10
11
00
00
00
11
00
10
10
00
10
10
10
01
00
11
11
11
01
10
10
10
10
01
11
10
01
01
10
10
11
10
00
00
00
10
00
10
11
10
11
00
00
10
00
01
00
10
10
10
11
01
10
00
11
11
00
10
00
00
10
10
10
01
01
01
10
00
00
11
11
10
11
01
10
01
00
11
11
10
10
00
11
11
11
01
00
01
10
10
01
10
01
00
00
10
10
10
01
00
11
00
10
10
10
00
01
10
00
11
00
10
11
11
10
00
01
10
01
01
10
00
01
10
10
01
00
00
11
11
01
11
00
00
10
10
00
10
11
00
11
01
00
00
11
11
10
00
00
10
00
10
00
01
11
11
11
00
10
10
00
11
00
11
01
00
10
10
00
00
01
10
10
10
00
01
10
00
10
00
01
10
00
11
00
00
10
00
10
00
10
11
00
00
10
01
10
00
01
00
10
01
11
10
01
00
11
10
10
01
10
00
00
01
10
01
00
01
00
01
11
10
11
01
00
10
10
00
01
00
11
00
11
11
00
10
00
10
10
00
00
10
00
01
10
11
01
11
00
01
00
10
10
00
01
10
10
00
10
00
10
10
01
00
00
01
10
11
00
00
10
01
00
10
01
00
10
10
10
00
10
11
11
00
10
00
00
00
11
00
01
01
10
11
00
00
11
01
00
10
00
11
11
11
11
00
00
00
00
10
11
00
01
00
10
10
01
10
10
10
01
00
11
10
11
00
01
11
01
00
11
00
11
11
10
01
01
10
10
10
00
10
10
00
01
10
00
01
10
11
10
10
10
00
10
01
00
00
10
00
10
10
00
10
00
01
10
00
01
00
10
11
10
00
00
01
00
00
10
00
10
00
10
10
01
00
01
00
10
10
10
10
10
11
01
00
10
01
00
10
11
00
00
10
00
10
10
00
00
10
01
11
11
01
10
01
00
10
00
00
10
10
10
00
00
10
00
10
11
10
10
00
00
00
11
10
00
00
11
00
11
10
10
00
01
11
00
10
01
00
11
00
00
11
10
10
10
10
10
11
10
00
00
10
00
00
00
00
10
11
01
10
11
10
11
00
01
10
00
00
11
10
00
00
10
10
00
10
00
00
11
10
10
11
01
00
10
10
01
00
10
10
00
10
11
01
00
10
01
00
11
01
00
11
00
00
10
11
10
01
10
11
00
10
10
00
10
11
00
01
10
11
10
10
10
00
01
00
01
10
00
00
11
10
01
01
11
10
01
00
00
10
10
10
00
11
11
10
00
10
00
10
00
11
10
00
00
10
00
10
00
01
01
10
01
01
00
00
10
10
00
00
10
11
10
01
10
11
11
00
10
00
10
10
00
10
00
11
11
01
11
10
00
01
01
11
00
01
11
10
01
00
01
00
00
10
01
00
10
01
10
10
01
01
10
00
10
10
10
01
00
00
10
00
10
00
00
11
10
00
11
11
00
00
00
10
10
11
01
11
11
00
00
01
00
10
10
00
01
11
10
10
11
00
00
00
00
10
10
00
00
10
01
00
10
00
11
00
11
10
00
00
11
01
00
00
00
10
00
00
11
10
01
10
10
00
10
10
01
10
11
10
00
10
00
00
10
11
00
00
00
00
00
10
10
11
00
01
10
10
00
10
00
10
10
00
00
10
11
01
11
00
11
10
00
00
00
10
11
10
00
11
11
01
10
10
10
10
10
00
10
10
00
01
11
10
01
01
00
11
11
10
11
01
00
10
11
01
10
11
00
10
11
00
10
11
10
00
00
00
00
11
10
01
10
11
10
10
01
10
00
01
10
11
10
00
00
10
10
00
01
11
11
00
00
00
10
10
00
01
00
00
11
10
11
10
01
00
00
11
00
00
10
11
10
11
00
11
10
00
00
10
10
11
11
00
01
11
11
11
00
00
11
11
00
11
01
10
10
01
10
10
10
01
01
10
10
10
10
00
00
11
00
01
10
10
00
00
10
11
00
01
10
00
11
11
10
10
00
00
10
01
00
11
10
10
10
11
10
00
10
10
11
00
01
01
01
00
00
10
10
10
10
00
00
11
01
10
00
11
00
00
11
10
00
00
00
11
10
10
01
10
00
10
00
10
00
01
00
01
10
11
00
01
00
10
01
00
00
10
01
00
10
10
10
01
10
10
11
10
00
00
10
00
00
00
11
01
01
10
10
10
11
00
01
10
11
01
10
00
10
10
00
00
11
00
01
11
00
00
10
11
00
10
10
11
00
00
11
00
10
11
00
10
00
00
00
11
11
01
11
10
01
00
01
10
00
01
11
00
11
00
10
11
00
01
00
11
11
11
01
10
11
10
01
00
00
00
10
00
01
10
11
10
00
10
00
00
11
00
00
11
01
01
01
10
10
11
10
00
00
10
11
11
00
00
01
10
10
10
00
01
10
11
10
10
00
10
00
00
10
10
10
01
10
11
10
10
00
00
00
00
10
10
00
10
10
10
01
11
00
01
01
10
10
01
10
00
01
10
00
00
10
11
01
00
10
00
00
10
10
11
00
01
11
00
00
01
01
00
11
10
10
00
10
00
00
10
00
00
10
00
11
01
10
10
00
01
10
01
10
01
11
10
01
00
10
10
10
10
01
00
10
01
00
10
00
10
11
00
01
10
00
10
11
00
00
11
11
00
01
10
00
00
10
00
10
10
01
01
00
11
01
11
00
10
00
00
11
01
10
11
10
00
10
00
00
11
10
01
00
10
10
00
00
10
11
10
10
00
00
00
10
00
10
00
01
00
00
10
01
11
10
11
10
00
00
10
00
10
10
01
10
01
00
01
10
10
10
01
01
10
10
00
01
10
01
10
10
10
00
01
11
01
01
11
11
10
10
00
01
01
10
10
00
00
10
00
01
01
10
10
10
00
11
11
00
10
00
11
00
00
00
10
10
00
00
00
10
10
01
00
01
10
01
10
10
00
01
11
11
10
00
10
11
10
00
00
10
00
01
00
01
00
11
10
00
00
10
00
10
11
00
10
10
00
01
00
01
00
00
10
01
00
10
10
00
00
01
01
10
11
00
00
10
00
01
01
11
11
01
00
00
00
00
10
10
00
10
11
11
10
11
00
00
00
10
10
01
00
11
11
10
01
00
01
11
00
00
01
01
10
11
11
00
10
10
00
10
00
01
10
10
11
10
01
10
11
00
00
10
10
01
00
01
10
10
00
10
11
00
01
11
10
00
00
00
10
10
00
10
10
00
10
01
10
01
01
11
00
11
11
01
00
00
11
10
01
00
10
10
10
01
00
00
11
01
01
10
10
10
10
00
00
10
00
00
11
10
00
00
10
10
00
10
00
01
10
00
10
10
00
00
11
10
11
00
00
00
10
10
01
10
01
00
00
00
00
10
01
10
10
00
00
00
11
10
01
00
01
01
11
10
01
11
10
10
01
00
11
11
11
10
10
01
10
10
00
00
11
11
00
11
11
11
00
11
11
00
10
11
00
00
10
10
00
00
11
10
00
00
11
10
01
00
11
10
00
00
10
10
00
11
10
00
10
00
00
00
10
10
10
01
10
00
00
00
10
10
00
01
00
10
01
01
11
10
00
10
10
11
10
00
00
10
11
11
10
01
01
11
00
11
01
00
00
11
10
01
00
10
11
01
10
01
00
10
11
00
00
11
10
01
00
11
11
10
00
00
11
11
11
11
01
10
11
10
01
10
11
01
01
10
10
10
00
10
10
01
10
11
00
00
10
00
01
11
11
01
11
00
01
00
10
00
00
10
11
00
00
00
00
00
00
11
10
10
10
10
01
10
00
10
11
00
10
00
11
10
00
01
10
10
10
00
00
00
11
11
00
01
00
01
00
00
10
10
10
01
00
10
10
00
00
01
10
01
00
10
10
11
11
00
00
10
10
00
10
11
10
00
00
00
00
00
00
01
00
11
10
00
01
11
11
10
10
10
10
01
00
10
10
11
00
01
10
10
00
10
10
01
11
10
01
00
00
10
11
10
11
10
00
00
01
00
10
01
10
11
10
10
00
00
10
01
00
10
00
00
10
10
10
01
00
10
11
10
00
10
10
00
11
10
01
10
10
00
10
00
10
11
00
10
10
01
01
00
10
10
00
01
11
10
00
00
10
01
00
10
10
01
11
00
00
00
00
11
00
10
00
01
10
11
10
10
11
00
00
01
00
01
10
10
00
10
11
10
10
00
00
00
00
11
10
01
00
00
10
10
01
11
10
00
11
11
00
11
11
00
00
00
10
00
00
10
11
00
00
00
00
11
10
11
00
00
01
11
00
10
11
00
10
11
00
10
10
10
00
10
00
00
11
10
01
10
10
10
10
00
11
10
00
10
10
00
10
10
10
01
01
10
00
10
00
00
11
00
10
01
10
10
00
00
00
10
10
11
10
01
01
10
10
00
10
01
00
11
10
00
00
10
00
10
00
01
00
11
11
10
10
00
10
10
00
01
11
11
01
00
10
10
00
00
00
10
00
11
01
11
11
11
11
01
00
10
01
11
10
11
00
10
00
00
11
01
11
00
00
00
01
01
00
10
00
01
00
01
11
10
11
11
00
00
00
10
01
00
10
00
10
00
00
01
10
00
10
10
11
00
11
00
01
00
00
00
01
00
10
10
01
10
10
00
10
10
00
11
10
00
00
11
10
00
10
11
10
00
10
00
10
00
01
11
10
00
11
11
11
00
11
00
00
10
11
10
00
11
11
11
00
00
11
11
01
10
11
01
01
10
11
00
01
01
11
11
00
01
10
10
00
01
10
01
10
11
10
11
00
01
01
11
00
00
01
10
00
00
10
11
10
00
00
11
11
00
10
00
11
10
11
10
11
00
01
00
01
00
00
10
10
00
01
11
11
11
01
10
10
10
00
01
10
10
00
10
01
00
10
10
01
00
11
00
01
11
10
11
11
00
10
10
10
01
10
10
01
00
10
01
00
00
10
10
00
10
10
10
00
10
00
10
10
01
00
01
01
11
00
00
01
10
11
10
10
00
00
10
10
10
00
10
10
01
10
10
00
10
00
00
11
11
10
00
00
00
00
00
11
00
10
10
10
01
00
00
00
10
11
00
00
11
10
00
10
01
00
00
00
01
01
01
10
00
01
10
11
01
00
10
11
10
11
00
01
10
00
01
10
11
01
10
11
01
00
10
10
00
01
10
11
11
00
01
00
11
10
01
10
10
01
01
00
00
10
10
01
00
01
10
00
10
01
01
10
10
00
01
01
00
10
10
11
01
00
11
10
01
00
10
00
00
10
10
01
00
10
10
00
00
10
01
00
00
10
00
00
01
00
10
11
00
11
10
10
01
11
11
10
00
00
10
10
00
11
10
00
00
10
00
10
00
01
10
10
11
10
10
10
00
00
00
10
10
00
10
10
10
01
01
10
10
10
00
00
01
10
01
10
01
00
00
01
11
10
00
10
10
10
00
00
00
01
10
10
00
01
10
10
10
00
10
11
00
11
10
00
10
10
01
01
01
10
01
00
01
11
00
10
11
10
00
10
10
00
10
00
10
00
00
10
11
00
10
10
10
01
11
11
01
10
00
10
01
00
11
10
01
00
11
10
00
10
10
00
00
11
10
00
01
10
10
00
10
01
01
11
10
00
10
11
11
00
00
10
00
00
10
11
01
00
10
11
10
11
10
00
11
10
00
11
10
00
10
10
00
00
10
10
11
00
01
10
11
11
10
00
00
10
11
10
00
11
00
10
01
01
00
11
11
10
01
01
11
00
11
11
00
00
00
00
00
11
11
00
01
01
10
00
10
10
10
00
01
00
00
10
10
10
00
01
11
00
10
11
01
11
11
00
10
10
10
11
11
00
00
11
01
01
11
01
10
00
01
10
10
00
00
10
11
10
11
10
00
10
01
00
11
11
00
00
10
11
00
10
10
11
00
10
10
10
11
10
11
11
10
10
10
00
01
00
10
10
10
00
11
01
00
01
10
10
00
00
10
00
00
10
10
10
10
00
00
00
10
10
01
01
10
01
01
00
11
11
10
00
00
11
01
00
10
10
00
00
10
10
00
00
00
01
01
10
10
01
11
00
01
11
01
00
01
00
00
10
11
00
00
11
00
00
11
00
10
11
10
11
00
00
00
10
11
00
10
10
00
11
10
01
01
10
01
10
11
00
10
10
11
11
01
11
01
00
11
10
10
00
01
10
11
10
11
10
11
10
11
10
00
00
11
01
01
11
10
10
00
10
01
00
10
10
00
01
00
10
01
11
10
00
01
10
10
10
11
10
11
00
11
11
01
00
01
11
00
00
11
10
00
11
10
11
00
00
00
01
01
00
10
10
00
11
10
00
00
01
10
01
10
01
10
10
00
11
11
01
00
10
10
10
11
01
00
11
00
00
11
01
10
00
10
10
01
10
00
10
11
10
11
00
01
01
11
10
00
11
11
00
10
00
00
10
00
10
11
00
01
01
10
01
00
00
10
10
00
11
10
10
00
01
00
11
00
00
10
01
10
00
10
10
01
00
11
00
00
11
10
10
00
00
00
00
10
11
01
01
01
10
01
00
10
00
10
00
01
10
10
00
00
10
10
00
00
10
10
00
10
10
10
10
10
10
00
11
10
00
11
01
01
00
00
00
00
01
00
10
11
11
10
11
01
00
00
10
01
01
10
10
11
01
00
00
10
10
10
11
00
00
11
10
00
10
01
00
00
00
10
00
00
10
10
00
10
10
10
00
11
10
10
10
00
10
00
11
11
00
00
00
10
10
10
10
00
01
00
10
10
11
00
01
10
00
01
10
00
10
00
00
10
11
10
00
01
00
00
10
10
01
00
00
10
01
01
11
00
00
00
10
10
10
00
00
11
01
01
10
10
11
00
10
01
00
10
00
00
11
00
00
01
10
10
10
00
10
00
00
00
00
00
11
11
00
01
00
10
11
00
10
01
11
11
10
10
01
00
11
11
10
10
10
00
10
10
00
00
10
11
01
10
01
10
00
10
11
00
11
00
00
01
11
10
00
11
10
00
00
11
10
00
11
10
00
00
10
10
01
00
01
00
11
00
00
10
01
00
10
00
11
10
10
10
01
10
10
11
10
10
10
10
01
00
10
01
01
00
00
00
10
00
00
10
01
10
11
01
01
10
00
10
11
11
00
00
10
10
00
00
00
10
00
00
10
00
11
10
00
00
01
10
11
00
01
00
00
01
11
01
11
10
00
10
01
01
11
10
00
00
11
00
00
11
10
00
01
00
11
00
01
01
10
01
01
10
00
01
10
10
10
01
01
10
00
11
10
10
01
10
10
00
11
10
11
01
00
00
01
10
10
10
00
11
00
11
11
10
10
00
00
10
01
10
00
01
10
11
11
10
11
01
10
01
00
10
00
01
00
01
11
10
00
00
00
00
00
00
10
01
11
11
01
10
10
00
00
10
00
00
10
00
00
10
11
10
01
10
00
01
00
01
00
01
10
00
11
11
01
10
00
00
10
00
10
10
00
01
01
01
10
10
10
10
00
01
00
00
00
00
10
10
10
00
10
01
00
01
00
10
00
00
10
01
00
10
11
10
00
01
00
10
01
00
10
00
00
10
01
01
10
10
00
10
01
01
11
01
00
00
11
10
01
00
11
11
10
00
01
00
00
11
10
00
00
10
10
10
00
11
10
01
01
00
11
00
11
10
00
11
10
00
01
01
10
00
01
00
01
10
01
01
01
10
10
11
01
00
11
00
01
00
10
00
00
10
10
10
00
10
10
10
00
10
00
00
00
00
10
00
10
11
10
00
11
11
11
11
11
10
10
00
00
11
11
00
00
00
11
10
00
00
00
11
11
00
10
11
00
10
01
11
11
00
01
00
11
11
10
11
01
10
00
00
11
10
00
00
00
01
01
11
11
10
00
00
00
00
01
11
00
01
10
11
10
00
00
11
11
11
00
00
11
00
01
11
00
10
10
01
00
10
11
00
10
11
01
11
10
10
00
00
11
00
01
11
11
10
10
00
00
01
10
10
10
10
00
01
00
00
10
00
10
11
11
10
00
10
01
01
11
10
01
11
10
00
10
10
01
00
10
10
00
01
00
10
11
10
00
11
00
00
00
10
00
01
00
11
00
00
10
01
10
01
00
11
00
00
11
11
10
00
10
11
01
00
10
11
00
01
10
00
00
00
10
10
10
10
00
00
11
10
00
01
00
00
11
10
10
00
11
10
10
00
00
10
00
10
00
01
10
00
01
10
00
00
10
11
10
01
01
00
10
00
00
10
00
00
11
11
00
10
01
11
00
11
11
10
00
01
01
10
00
00
00
10
10
11
10
00
10
11
00
10
11
01
00
10
00
11
00
00
01
10
00
11
10
10
00
00
10
10
10
10
01
10
00
00
10
00
10
00
01
10
11
10
10
00
00
11
01
00
10
11
00
00
10
00
11
01
00
00
10
00
11
11
01
01
11
00
10
11
11
10
11
00
00
10
00
10
00
10
00
00
00
10
10
00
01
10
00
01
11
11
00
10
10
11
11
00
00
10
00
00
00
00
10
10
00
00
11
00
00
10
10
10
00
00
10
00
00
00
11
10
11
00
00
10
10
00
00
10
10
10
00
11
10
11
00
01
10
11
10
10
00
00
01
10
10
10
10
10
00
10
00
10
11
00
01
00
10
11
10
10
11
01
00
10
10
10
00
01
00
11
10
11
00
10
00
11
11
01
10
10
00
00
01
00
11
10
00
10
00
01
11
11
10
01
00
00
01
00
11
00
10
11
00
00
00
11
11
10
10
01
10
10
00
10
10
11
00
01
11
11
00
11
00
10
10
10
00
00
11
00
11
00
01
10
01
10
11
00
00
01
00
10
10
10
01
00
00
01
10
11
00
10
11
00
11
00
11
10
00
00
10
10
00
01
11
00
01
00
00
01
10
10
11
00
00
10
01
01
11
10
10
00
10
10
10
10
00
11
00
00
00
10
00
11
00
10
11
01
11
00
10
01
00
10
00
00
00
00
10
01
00
11
10
01
10
10
00
00
01
11
11
10
01
00
01
10
11
11
00
10
10
00
10
10
00
01
10
00
00
01
01
11
10
11
00
11
01
10
10
10
00
00
10
10
00
01
10
00
00
11
10
10
11
00
10
00
10
11
10
11
01
10
11
01
00
10
10
10
10
00
10
00
00
00
10
00
00
11
00
10
01
00
01
00
10
01
10
11
11
00
00
10
10
00
00
10
11
11
01
00
11
00
10
10
01
00
10
00
01
10
11
10
01
00
11
00
00
10
11
10
10
01
00
01
00
10
11
00
00
01
00
11
10
11
10
01
00
00
10
11
11
01
10
10
01
10
00
00
00
10
00
10
10
10
00
01
10
00
00
10
01
11
11
11
10
11
00
10
10
11
00
00
00
01
01
00
11
11
00
01
00
10
00
00
10
00
10
10
10
00
10
00
00
10
01
11
00
00
10
10
01
01
00
10
01
00
00
10
11
01
00
10
10
10
10
00
01
11
11
10
11
01
00
00
11
11
01
10
00
10
00
10
10
00
00
00
00
10
00
00
11
00
10
00
10
10
11
01
00
00
10
10
00
00
11
10
10
11
01
00
00
10
00
00
00
00
10
11
00
10
10
10
00
00
10
10
01
00
10
10
11
00
10
10
00
00
10
10
00
00
01
00
00
10
01
00
11
01
00
11
00
10
00
01
10
10
00
00
10
01
00
11
01
11
10
11
10
00
10
00
01
11
11
00
01
01
11
11
10
01
00
10
10
10
01
00
00
00
10
01
10
10
11
10
00
10
11
10
01
00
10
11
11
00
00
00
11
10
11
00
00
11
00
00
10
10
01
11
01
01
00
11
00
00
10
00
10
00
00
10
10
10
00
10
10
10
10
00
00
10
10
00
00
01
10
11
11
01
00
11
00
00
01
10
01
10
01
00
10
00
00
10
11
10
01
11
11
00
10
11
01
00
11
00
00
00
11
11
10
11
00
11
10
11
11
10
01
00
00
10
11
00
00
00
10
00
00
10
11
10
00
00
00
00
10
10
00
10
00
00
00
11
01
01
10
01
10
11
10
01
11
10
10
10
11
01
00
10
00
10
00
11
10
00
10
00
10
01
00
10
00
11
11
01
01
10
10
01
10
00
10
00
01
00
10
10
00
10
10
00
00
00
11
01
01
11
00
00
11
11
11
00
10
10
00
00
00
10
00
01
10
01
11
00
10
00
10
10
11
00
00
10
10
10
10
01
11
00
00
10
00
01
10
00
10
11
10
00
00
10
11
10
00
01
00
10
10
10
10
10
11
00
01
11
00
01
00
01
10
00
01
10
00
00
00
10
00
10
11
00
00
01
01
11
11
00
01
10
10
10
00
11
10
11
00
11
01
00
11
11
00
01
00
10
01
10
01
00
11
01
11
10
10
00
01
00
00
10
10
00
01
10
00
11
00
10
00
01
10
10
10
00
00
11
11
01
00
10
00
10
00
11
10
01
01
10
10
00
11
10
00
01
10
00
00
10
01
10
00
10
10
11
10
00
00
10
10
10
11
00
10
00
00
10
10
10
01
10
11
00
10
10
01
00
10
00
00
00
11
00
10
00
10
01
00
10
01
10
10
10
10
00
00
10
10
01
00
00
10
00
10
01
01
00
00
11
00
11
10
01
00
00
10
00
00
10
00
10
10
10
00
01
11
10
11
00
01
11
01
01
10
10
10
10
01
11
11
00
10
11
00
11
10
10
01
11
00
00
00
10
10
11
00
00
00
10
10
00
11
10
10
00
10
00
11
01
00
10
11
10
10
00
10
00
00
10
00
00
00
10
00
10
10
11
10
01
10
11
00
00
11
10
11
00
01
10
11
10
00
01
10
00
10
00
01
10
11
10
11
10
01
00
10
11
01
00
10
00
00
01
11
00
01
00
10
00
01
10
11
00
10
10
00
01
10
10
11
00
00
00
00
10
10
00
01
00
01
00
00
10
11
00
11
00
01
11
01
00
00
11
10
11
11
11
00
00
11
10
10
00
01
01
00
01
10
11
00
10
10
10
10
00
10
00
10
11
01
10
00
01
11
01
11
01
00
10
01
10
10
01
00
11
10
00
00
00
10
10
11
01
10
00
00
00
01
10
00
01
01
11
00
00
10
10
10
10
00
00
10
10
11
11
00
10
10
00
00
00
10
11
10
00
10
00
01
01
10
10
01
00
00
00
00
11
10
00
10
10
10
00
10
01
11
00
00
01
10
01
10
10
11
10
11
10
01
01
01
00
10
00
00
10
00
00
11
10
01
00
00
11
10
10
00
10
10
00
11
10
00
00
11
10
10
10
10
10
00
11
11
01
01
00
11
11
11
11
01
00
11
10
00
10
00
00
10
10
00
00
10
01
00
00
00
10
01
00
10
10
10
01
10
10
00
10
01
00
11
10
10
01
10
10
10
00
01
10
10
00
01
10
10
10
01
00
00
10
10
10
00
00
00
00
01
00
10
11
10
01
10
10
01
00
00
01
01
11
11
00
00
00
10
01
10
11
00
10
10
10
10
11
10
01
00
11
10
10
10
01
10
00
10
00
00
10
11
11
00
10
00
01
01
00
00
10
11
10
01
10
00
00
10
11
11
01
10
00
01
00
11
10
00
01
01
10
00
01
11
10
10
00
00
10
10
01
10
01
01
10
10
10
00
01
00
11
11
00
11
11
10
11
01
00
01
00
10
11
00
00
01
10
11
00
11
10
00
01
10
01
10
10
00
00
00
10
10
00
10
00
00
11
00
00
11
01
11
00
00
10
10
11
01
00
10
10
01
00
10
10
10
00
11
00
11
01
00
01
01
10
01
01
10
00
00
10
10
01
01
01
11
10
10
00
00
00
01
10
11
10
10
01
11
11
10
11
11
00
11
10
00
00
11
11
00
10
10
01
11
00
01
10
11
10
10
10
00
01
11
01
00
00
10
00
00
10
10
00
11
11
00
11
10
01
10
10
00
10
00
00
01
10
10
11
00
11
01
11
10
10
11
01
01
10
01
01
10
00
00
00
11
00
11
10
00
00
00
10
10
00
01
00
01
01
10
10
00
00
10
01
00
10
01
10
11
00
11
00
00
10
01
01
10
11
00
10
00
01
11
01
10
00
10
11
01
01
10
10
11
10
11
00
00
10
00
00
01
11
10
00
01
01
01
11
01
00
01
10
10
10
10
11
01
00
10
10
10
01
10
00
10
10
11
10
00
01
00
00
10
01
01
10
10
10
10
01
11
00
00
10
11
11
01
11
10
00
01
00
01
00
10
10
00
10
10
00
01
00
10
01
11
11
00
01
10
00
10
10
10
01
10
00
00
10
11
00
11
01
10
00
01
10
11
10
00
11
10
00
10
00
00
10
00
00
00
10
01
01
10
01
01
10
10
00
00
01
01
10
01
00
11
00
10
11
10
00
00
00
10
10
00
01
10
10
01
00
10
10
10
01
11
00
00
10
01
00
00
01
11
10
10
10
10
10
00
01
10
10
00
01
00
11
00
00
10
00
10
10
10
00
10
00
10
11
00
01
11
10
00
00
00
11
10
01
10
11
00
10
00
01
00
11
00
10
10
10
00
00
01
10
11
01
10
00
10
00
00
00
10
00
10
10
00
10
10
01
00
11
00
10
00
01
00
10
00
10
00
01
10
10
00
01
00
10
11
10
10
11
00
00
00
11
10
11
10
11
00
01
01
10
10
01
01
10
00
11
10
10
00
00
11
10
11
10
00
00
01
00
11
01
01
00
01
11
10
01
10
00
00
00
10
11
10
00
11
10
00
00
00
10
00
00
00
01
10
00
10
11
10
00
10
01
10
10
00
00
00
10
11
01
00
10
11
10
10
10
00
10
10
00
01
00
01
11
10
11
00
10
00
10
10
01
01
10
00
10
00
10
00
01
10
10
00
00
10
11
10
10
01
01
11
00
00
00
11
10
01
10
01
00
00
11
00
10
10
10
10
11
00
00
00
10
10
01
10
10
01
01
10
01
11
10
00
10
00
00
11
10
11
11
11
10
11
11
00
11
11
10
00
00
01
10
00
00
10
00
10
10
00
10
10
10
01
01
01
11
00
10
10
00
01
01
10
10
00
00
00
00
11
10
10
10
00
10
00
00
00
11
00
01
00
10
10
00
00
10
10
00
00
10
01
10
10
10
11
10
10
01
10
01
01
10
10
00
10
11
01
10
00
00
11
00
10
00
00
11
10
11
10
00
01
10
10
00
10
11
10
10
01
10
11
10
01
00
11
10
10
10
00
00
01
00
11
00
11
11
10
01
00
10
01
01
11
00
00
00
00
10
10
10
00
00
11
01
00
00
00
10
10
01
01
11
10
00
01
01
01
10
10
00
10
00
11
00
01
10
00
10
01
10
10
00
01
11
11
10
11
00
00
11
10
00
10
01
00
10
10
00
00
01
00
10
11
11
11
11
10
10
11
11
00
01
10
00
00
00
01
11
00
00
01
11
11
01
00
10
00
11
10
00
00
10
10
01
11
10
01
00
10
10
10
10
01
10
11
10
00
01
00
00
10
00
10
10
00
10
00
10
10
01
00
10
10
00
10
10
10
01
01
01
00
00
11
11
10
01
11
10
01
00
00
10
11
11
10
00
01
01
00
00
11
10
00
10
11
00
10
10
01
10
10
11
11
10
00
00
00
10
00
00
10
00
00
11
11
01
00
10
10
00
00
11
10
01
00
00
10
00
00
10
11
00
01
10
10
11
00
10
10
00
00
00
10
00
01
10
10
10
00
10
10
00
01
11
00
11
01
10
11
01
11
01
10
01
10
01
00
11
10
10
00
00
11
10
01
10
01
00
10
00
00
10
00
11
10
00
11
10
01
10
01
00
00
00
01
01
01
11
10
01
01
00
11
11
00
10
00
00
01
10
10
00
01
01
10
11
00
10
00
00
00
10
00
10
00
01
00
10
00
10
10
10
01
10
11
11
10
00
10
01
01
00
10
10
10
00
01
11
10
00
00
00
01
00
01
11
10
11
00
00
10
10
10
01
10
10
00
00
11
10
01
00
00
00
11
00
11
01
00
00
11
11
10
10
01
01
00
11
11
00
10
00
10
10
10
00
01
00
11
10
10
00
11
00
00
00
10
00
10
00
00
10
10
00
10
11
10
00
10
00
00
10
10
01
11
00
11
10
00
00
10
00
01
11
11
10
00
10
01
11
10
00
10
10
00
01
00
00
10
10
00
10
10
00
01
10
11
10
10
00
10
00
10
10
01
10
10
01
00
11
00
00
10
01
00
00
00
10
11
00
10
00
01
00
00
00
10
10
10
00
00
01
10
11
00
10
00
00
10
10
11
00
10
11
01
01
00
01
11
00
01
10
01
00
01
01
10
00
00
10
10
00
00
01
00
11
01
00
10
10
10
01
01
10
10
10
01
11
10
00
10
10
10
10
00
00
00
10
01
00
00
10
00
10
10
00
00
01
10
10
00
00
10
00
01
10
11
01
01
11
11
00
00
00
10
11
01
00
10
00
01
00
10
10
10
10
00
10
10
01
00
00
00
10
01
10
11
11
11
01
10
00
11
11
11
01
00
10
01
01
10
01
01
00
10
00
10
10
11
00
00
01
00
11
01
00
10
10
01
10
01
00
10
11
10
11
00
10
11
00
11
00
00
11
00
01
10
11
01
10
10
00
00
00
00
10
10
10
10
11
00
11
00
10
10
01
01
11
10
00
01
01
10
11
10
00
01
10
01
01
00
10
11
01
11
10
11
01
00
10
11
10
00
00
01
10
10
10
11
00
01
10
00
00
10
11
11
11
11
01
10
01
10
11
10
10
01
01
00
01
11
11
01
00
11
10
00
01
00
11
11
11
01
11
10
10
00
00
00
10
10
01
00
11
10
01
01
00
00
10
00
11
00
01
00
00
10
10
11
01
01
10
01
10
11
00
00
10
11
01
00
00
10
10
01
10
10
00
10
01
10
00
11
10
00
00
01
00
01
10
10
00
00
10
10
10
01
10
11
00
00
00
00
01
10
11
00
11
00
11
01
11
01
10
10
00
10
00
00
00
10
00
00
11
00
10
00
11
01
00
10
11
00
11
01
00
00
10
11
00
01
01
10
10
00
01
10
11
00
01
10
11
10
10
10
00
01
10
01
01
11
10
10
00
01
10
11
10
01
00
11
00
10
00
00
01
10
10
01
11
11
11
00
01
01
11
00
00
10
01
10
10
00
00
10
00
10
10
01
00
10
10
00
00
10
10
00
00
11
10
00
10
11
10
11
00
01
10
10
11
10
10
10
01
01
10
10
00
01
00
00
10
10
01
00
10
00
10
00
01
10
10
00
00
10
11
10
11
11
01
10
00
10
00
10
11
00
01
10
00
10
00
11
01
10
01
00
10
00
10
00
10
10
10
00
00
00
11
10
00
00
11
10
10
01
11
11
00
11
10
00
00
00
01
10
00
10
11
10
00
00
10
00
11
10
01
11
00
10
00
00
10
01
00
10
01
00
00
11
01
11
11
00
10
11
11
10
10
00
01
10
10
00
00
11
11
01
11
10
11
10
00
10
10
00
10
11
01
10
00
00
00
01
00
10
00
10
10
10
10
00
10
00
01
01
11
00
01
01
10
01
11
00
00
11
10
10
11
01
10
00
00
11
00
00
11
11
01
00
00
11
01
01
00
00
11
10
10
00
11
11
00
00
00
10
11
10
01
00
11
11
10
00
10
10
00
00
10
11
10
10
01
00
11
00
10
00
00
10
11
00
10
10
00
11
10
00
01
01
10
10
01
01
10
10
10
01
00
11
10
10
00
00
00
11
01
01
00
11
11
11
00
10
11
00
10
01
10
10
01
11
01
00
11
11
11
00
00
10
11
11
00
00
11
00
11
10
10
00
00
10
10
01
00
00
01
00
11
11
00
10
00
00
11
01
00
10
01
11
01
10
10
10
10
10
01
01
10
10
10
00
11
01
11
10
10
10
10
01
01
01
11
00
10
10
10
11
00
01
10
00
00
10
00
01
00
11
01
11
00
10
00
01
00
10
10
00
01
10
10
01
10
00
11
11
01
00
10
10
10
00
11
00
01
10
00
00
11
10
10
11
11
00
00
10
10
10
10
10
11
01
01
00
00
00
11
10
11
01
00
01
11
10
10
10
10
00
10
11
11
10
10
00
00
10
11
11
00
00
10
11
00
00
11
11
11
00
01
00
00
00
11
00
00
11
10
00
10
10
01
10
10
01
00
01
10
11
00
00
01
00
10
10
01
00
10
00
01
10
00
00
10
10
10
00
11
10
01
01
10
10
10
01
11
10
01
01
10
11
11
00
01
10
10
00
10
10
01
00
00
11
00
01
01
00
11
10
00
01
10
11
00
00
11
01
11
10
11
00
10
10
01
00
10
00
10
10
00
00
01
00
10
01
10
01
00
01
00
11
00
10
00
10
11
00
00
10
10
00
10
10
00
01
10
01
10
10
00
10
00
10
10
00
00
10
01
00
11
01
00
00
10
11
01
11
10
10
10
01
01
00
10
10
10
00
10
00
00
10
00
10
00
00
11
01
00
10
00
01
00
00
10
11
10
01
00
00
10
11
10
00
00
10
01
01
01
00
10
11
10
00
11
00
00
00
00
10
10
10
10
10
11
01
11
10
00
01
11
10
10
10
10
10
10
00
01
10
00
10
01
00
00
10
01
10
11
11
10
11
00
01
10
00
01
00
00
11
10
10
01
00
00
00
10
11
10
01
00
11
11
00
10
10
11
00
00
10
01
00
10
00
00
00
10
01
00
10
10
11
00
10
10
00
10
01
11
10
11
00
00
00
10
11
01
11
10
00
11
00
00
10
01
11
00
01
00
00
10
00
00
10
00
00
11
10
11
10
10
11
11
00
00
11
10
10
10
00
11
00
00
01
00
10
00
11
01
11
10
10
10
11
00
00
01
00
10
00
00
00
00
11
10
01
00
01
10
10
00
00
00
10
00
00
00
11
10
00
10
10
00
00
00
10
00
01
11
01
10
00
10
00
10
01
10
10
10
11
10
00
00
01
00
10
10
10
10
10
00
00
00
01
11
01
10
11
10
11
10
10
10
00
11
10
00
00
10
00
10
10
10
11
00
00
10
10
10
10
10
00
01
11
10
10
01
10
10
11
01
01
11
01
00
10
01
01
00
11
11
00
11
11
10
11
00
01
11
11
00
10
11
01
10
11
00
11
10
01
11
10
00
01
11
10
10
01
00
11
01
11
00
11
01
00
10
10
11
10
01
00
10
10
01
01
10
00
00
10
10
01
00
10
00
01
00
11
10
01
00
11
10
10
10
01
01
10
00
11
01
10
11
01
00
00
10
11
10
00
00
10
11
10
00
00
10
11
10
00
00
00
10
10
00
11
01
00
10
00
10
11
10
00
00
10
10
10
11
00
10
10
01
00
11
00
01
10
11
00
10
01
11
10
00
00
11
11
00
00
00
01
10
11
11
11
00
00
11
11
00
00
11
10
10
00
00
10
10
10
00
00
11
01
10
10
00
00
00
10
01
00
11
10
00
10
10
00
11
10
10
00
11
11
11
00
01
10
10
10
11
10
01
10
10
00
00
01
10
01
00
00
10
10
00
11
10
11
11
00
01
00
11
10
00
00
00
10
10
00
00
10
01
01
00
10
11
10
00
00
00
10
01
10
00
11
10
11
10
10
11
10
10
00
01
10
00
01
10
11
00
10
01
00
10
11
10
00
10
10
01
00
11
10
10
00
01
01
11
01
00
01
10
00
10
11
00
10
10
00
11
11
00
00
10
00
10
10
00
00
10
10
01
10
00
00
00
10
01
00
00
10
10
11
11
10
10
11
10
10
01
10
10
10
10
10
00
10
01
00
00
11
10
11
01
00
00
00
00
11
11
10
00
10
10
10
01
10
10
00
11
10
11
10
00
01
11
11
00
10
10
01
00
00
10
01
10
10
01
00
10
11
01
00
11
11
00
00
00
11
10
10
11
00
10
00
10
00
01
10
00
10
00
01
10
00
10
11
00
01
01
10
11
10
00
11
11
00
10
10
00
01
00
00
10
00
11
10
11
01
10
10
10
00
10
00
01
00
00
11
10
10
11
00
00
10
00
00
10
11
00
10
10
11
01
01
01
11
10
11
10
01
00
10
11
00
10
10
11
01
01
01
11
10
00
00
10
00
01
11
11
00
00
00
11
10
10
00
00
10
00
00
00
01
11
10
10
00
11
00
01
11
00
10
00
00
10
10
01
00
10
10
01
10
10
10
01
10
11
00
00
10
01
10
00
00
10
00
10
01
00
00
10
00
10
10
10
00
01
01
10
10
01
01
11
10
01
00
00
01
11
11
00
10
01
10
10
10
11
01
10
01
01
00
01
11
00
11
00
00
10
10
01
00
00
11
10
00
11
01
01
00
00
10
01
00
10
00
00
11
11
10
11
10
10
10
00
10
00
00
11
01
01
10
11
11
01
10
00
00
10
00
00
10
10
00
00
01
01
00
11
10
11
00
10
10
10
00
01
11
10
00
01
00
10
00
00
10
10
00
11
00
00
00
10
01
10
11
00
10
10
00
10
00
01
11
10
01
00
11
10
00
00
00
10
00
00
10
00
00
10
10
11
01
00
00
00
10
01
10
00
10
10
11
00
10
01
01
10
00
10
00
10
10
00
10
00
11
00
00
10
00
11
10
00
00
10
10
01
00
11
10
01
01
01
11
00
00
11
10
00
11
11
00
00
00
00
10
11
11
10
00
00
01
01
00
10
10
10
10
00
00
10
10
11
01
00
01
10
10
00
10
00
10
10
00
10
10
01
01
01
10
00
11
01
10
10
01
00
00
00
00
11
10
10
00
00
00
00
00
11
10
00
00
00
01
10
01
00
10
00
11
00
01
00
00
00
00
11
01
01
10
10
01
00
10
10
00
01
11
11
11
10
00
10
01
10
00
01
10
10
01
00
10
00
00
11
10
00
00
11
10
10
11
01
11
10
01
00
00
00
00
10
11
00
10
10
01
11
00
00
11
10
10
10
01
00
00
10
11
00
10
10
01
10
10
10
10
00
10
00
00
10
00
10
10
10
00
01
10
11
00
10
11
01
01
10
11
01
11
10
00
00
11
00
10
11
00
00
00
10
00
00
10
10
00
00
10
00
00
01
10
10
00
00
10
00
01
10
10
01
00
00
11
10
10
00
00
01
10
11
00
10
11
00
11
11
11
00
01
00
11
10
10
00
00
10
10
00
01
11
10
01
10
10
11
10
00
01
01
11
00
00
11
10
00
00
11
10
01
00
11
00
00
10
01
01
10
01
00
11
10
10
11
00
00
11
00
01
10
01
10
10
00
00
10
10
10
00
10
10
11
10
10
01
01
10
00
00
00
00
00
11
11
01
10
00
01
10
01
00
10
10
01
10
11
00
01
10
10
00
01
10
00
00
00
01
00
10
10
01
11
01
00
11
00
01
00
10
10
00
01
10
01
00
11
11
10
00
00
00
10
10
00
00
00
10
10
11
00
00
00
10
00
00
00
10
10
10
00
01
00
10
10
00
10
10
11
01
00
10
11
00
00
11
00
00
01
10
10
00
01
01
11
00
10
11
01
11
10
10
10
10
11
00
00
11
11
01
10
10
00
00
10
11
01
00
10
00
10
11
11
01
00
10
00
00
10
01
10
01
10
00
00
01
00
11
10
00
00
10
10
10
10
01
00
00
10
00
00
10
11
00
10
00
00
00
10
11
00
10
01
00
00
00
10
01
10
01
10
10
01
00
11
10
10
00
10
10
00
11
01
01
10
10
11
10
00
00
00
10
10
10
01
00
10
00
00
10
10
10
11
00
01
00
00
10
00
10
11
00
00
10
11
11
11
00
00
10
11
01
00
10
10
10
10
01
00
11
00
11
10
11
00
01
00
11
11
01
10
10
01
10
10
10
00
01
01
01
00
01
10
10
00
00
10
10
00
00
00
10
10
00
11
01
11
10
00
10
11
10
10
01
01
11
11
10
00
01
10
11
10
00
00
10
10
01
11
11
11
01
01
10
01
10
10
01
01
11
01
00
10
00
11
10
10
11
00
10
00
00
11
01
01
10
10
10
00
00
00
10
10
00
01
00
11
00
01
11
10
00
01
10
11
10
00
10
01
11
00
00
00
00
01
00
11
10
10
00
00
00
10
11
01
10
10
01
00
00
01
10
10
01
01
01
10
11
01
11
00
10
10
00
00
10
10
10
01
11
10
01
11
01
10
11
10
01
00
11
00
10
00
01
10
11
10
01
11
11
01
10
01
01
01
00
10
00
00
10
10
01
01
10
10
11
10
01
00
01
01
10
11
10
10
10
10
01
00
10
10
10
01
00
00
11
10
10
11
11
00
10
10
00
01
10
00
10
11
11
00
11
01
00
11
00
10
11
00
11
00
11
10
10
10
00
10
01
10
11
00
00
10
00
00
10
10
01
10
10
01
10
10
01
01
01
01
11
00
11
00
00
10
01
00
10
01
00
01
00
11
00
11
00
01
10
10
10
01
10
00
00
10
10
00
00
10
11
00
00
00
11
00
11
10
01
10
10
10
00
00
10
11
00
11
00
00
10
01
10
00
01
00
00
00
00
10
10
10
00
00
10
00
01
11
01
11
10
00
00
01
11
01
00
00
10
00
11
10
00
01
10
10
01
10
11
11
11
00
10
00
00
10
10
10
00
10
10
00
11
00
10
11
01
00
10
00
11
00
01
10
00
01
10
00
11
10
01
01
10
11
10
00
00
10
00
10
00
10
10
00
11
01
00
11
00
11
00
11
11
00
01
01
00
01
10
11
10
10
00
11
00
10
01
01
10
00
11
10
01
01
11
11
00
00
10
01
00
00
10
11
00
11
10
10
10
10
00
01
00
11
01
00
10
01
11
10
10
00
00
00
10
11
10
01
10
10
00
10
10
00
10
10
01
00
11
00
01
10
00
01
10
00
01
00
11
01
00
10
00
10
11
10
00
00
01
11
00
00
11
00
11
11
01
01
10
10
00
00
11
10
01
00
10
11
01
11
10
10
00
00
10
00
00
10
00
00
00
00
10
10
10
11
00
11
11
11
00
01
11
00
00
01
00
11
00
11
00
00
11
10
00
00
10
11
01
01
10
01
00
00
10
10
11
00
00
10
10
00
10
11
00
00
11
01
10
00
11
01
01
10
11
00
10
10
00
01
00
01
10
01
00
10
01
00
10
10
01
00
11
00
00
00
00
11
11
10
00
01
10
01
10
01
11
10
01
10
00
00
10
11
10
10
00
00
01
00
00
10
00
10
00
11
10
00
00
00
10
10
01
00
10
10
11
00
00
00
10
00
11
00
00
10
10
00
10
10
10
00
11
00
00
10
01
11
10
01
00
11
00
10
10
00
10
10
00
00
10
10
10
10
00
00
11
10
00
00
00
10
10
10
01
10
00
00
10
00
00
10
10
00
00
00
11
00
11
01
10
10
10
00
00
10
10
00
10
10
01
00
10
11
10
00
01
00
00
00
01
11
11
10
10
00
10
11
00
11
01
00
11
10
11
00
10
10
11
10
01
01
01
00
01
10
10
10
00
00
10
10
00
10
00
10
10
10
11
10
10
11
11
10
10
01
01
00
10
11
10
01
01
00
00
00
10
10
10
00
11
10
10
00
01
00
11
00
00
10
10
10
10
00
01
00
10
10
01
00
10
00
10
11
00
00
10
11
01
01
11
11
10
10
10
01
00
10
10
01
10
10
10
00
00
10
01
10
10
10
10
10
11
01
10
00
00
01
01
10
00
01
10
00
00
10
10
01
11
10
01
01
11
11
10
01
10
10
10
00
00
00
00
10
00
11
10
00
00
00
10
00
10
11
00
01
11
00
00
00
00
11
10
00
00
10
10
10
10
00
10
01
00
01
01
00
10
11
11
01
00
10
10
01
00
10
11
00
00
00
01
10
01
01
11
11
00
01
10
00
01
01
11
00
00
11
00
11
10
11
01
00
10
11
00
01
00
10
10
00
01
11
10
00
11
10
00
10
10
11
00
10
10
10
10
01
10
00
10
00
11
00
10
01
00
11
10
00
01
11
10
00
00
10
00
00
10
11
00
11
10
01
01
11
10
00
00
11
01
01
10
11
01
10
00
00
11
11
00
00
00
11
10
01
10
10
10
01
10
10
10
00
01
10
10
00
00
00
00
10
10
11
01
10
00
01
11
01
10
10
11
01
10
10
00
00
00
10
10
10
10
11
10
10
11
10
11
11
10
11
00
00
10
00
00
10
11
00
00
10
10
00
10
11
00
11
11
11
00
00
10
01
00
10
11
00
00
01
00
10
11
10
00
00
10
00
01
00
10
11
00
01
10
10
01
10
01
01
10
10
00
00
10
10
10
01
00
00
11
10
00
00
11
10
00
10
01
00
10
01
00
11
11
01
00
00
10
01
10
10
10
00
11
10
00
10
01
01
10
11
00
10
10
10
01
00
01
10
01
00
10
01
00
11
10
00
10
00
10
00
01
00
00
10
10
10
11
01
00
11
11
10
00
11
00
00
01
10
10
11
00
01
10
11
10
00
00
10
10
00
00
00
01
00
10
11
11
00
10
00
10
00
00
10
01
11
01
01
00
10
10
01
10
11
00
11
00
00
10
10
00
00
00
11
00
10
10
11
10
11
00
00
00
10
10
10
00
01
01
11
10
10
10
01
01
11
00
01
01
10
10
10
01
01
10
10
10
01
00
10
00
10
00
01
00
10
10
00
10
11
00
10
00
00
00
11
11
01
11
11
10
00
10
10
10
10
01
10
10
10
01
10
10
10
00
00
10
10
01
00
10
10
01
01
00
00
10
01
00
01
01
00
00
11
10
10
00
01
10
11
00
00
10
10
01
11
00
00
10
10
10
10
10
00
00
01
01
10
10
10
10
11
01
11
11
10
00
00
10
00
00
10
10
10
00
00
01
00
10
00
00
10
10
01
10
00
10
11
00
10
10
11
10
01
11
11
00
00
00
11
10
01
00
00
00
10
11
10
00
00
00
10
10
00
00
11
11
11
01
00
00
01
00
11
10
00
00
11
11
11
00
00
10
00
10
01
00
11
10
01
00
11
11
00
10
10
01
10
10
00
00
11
10
11
00
00
11
10
10
10
10
01
00
00
00
11
10
11
11
10
10
10
11
01
01
00
11
00
00
10
00
00
10
11
10
10
10
00
10
10
00
01
00
00
01
10
11
10
10
00
00
01
00
00
10
00
00
00
00
10
11
00
00
00
11
00
01
10
00
10
01
00
10
00
01
10
01
10
00
11
00
10
11
10
10
10
00
10
01
00
00
11
10
00
10
10
10
11
00
11
11
00
11
01
10
01
11
11
10
11
00
00
01
10
01
00
10
11
11
11
10
11
00
01
11
00
00
10
11
10
10
01
11
10
11
01
00
11
00
11
01
00
11
10
00
00
10
00
10
10
00
10
01
10
10
00
10
00
00
10
10
11
00
00
10
00
10
00
00
00
00
11
10
10
10
01
00
00
10
10
01
00
00
11
00
01
00
11
10
11
11
00
00
10
01
00
11
10
00
00
00
00
10
11
00
00
10
00
01
00
00
11
01
11
11
11
00
00
11
00
00
11
00
10
10
11
10
00
10
11
10
11
00
00
00
01
00
11
10
00
01
11
00
00
10
10
10
10
10
11
01
10
11
00
00
00
01
10
00
00
11
10
10
10
00
00
10
00
10
01
01
10
00
10
10
01
10
10
01
00
00
10
10
00
11
10
10
00
00
01
10
10
00
10
10
00
11
10
10
00
10
11
11
00
10
01
00
00
10
10
00
00
00
11
11
10
00
01
11
00
10
11
10
00
10
00
00
10
00
00
10
11
10
00
10
10
10
11
00
00
10
00
10
11
11
00
10
10
10
01
01
11
10
00
00
11
10
11
00
00
11
00
10
00
11
11
10
00
10
10
00
00
01
10
01
01
10
00
11
11
00
01
00
11
10
01
00
11
00
01
00
11
10
10
11
01
11
11
11
01
00
01
01
11
10
01
00
00
10
11
10
00
00
10
10
00
00
00
00
10
01
01
10
01
00
11
10
01
10
10
10
00
00
11
01
01
00
00
00
10
10
00
00
10
00
00
10
01
10
00
00
10
10
11
01
01
10
10
00
10
01
00
11
11
01
01
01
10
01
11
11
11
00
00
10
01
11
00
01
10
10
11
01
11
10
11
00
11
00
00
00
01
00
11
10
01
01
00
10
11
11
00
10
00
10
11
00
10
01
10
00
10
10
00
11
00
10
00
01
01
00
01
11
00
10
01
10
01
10
10
01
01
10
00
01
11
01
10
01
00
10
10
10
10
10
00
11
00
00
10
11
10
10
11
11
00
10
11
00
11
10
01
11
01
00
10
01
01
01
11
10
11
10
10
10
10
00
00
01
11
01
11
11
00
00
11
00
01
10
10
11
00
00
00
00
10
10
00
11
01
01
01
10
00
01
00
10
01
00
10
00
00
10
00
00
11
01
01
01
10
10
10
00
10
11
01
00
00
01
00
00
11
11
11
01
10
10
10
00
10
01
01
11
10
10
10
00
11
10
00
00
01
00
01
01
11
00
10
01
01
10
10
00
00
01
10
01
00
10
11
11
10
00
11
10
00
00
10
00
00
10
01
10
10
00
10
00
00
00
10
11
00
00
00
00
00
10
01
10
01
10
11
10
01
11
00
10
10
00
10
11
00
00
10
11
10
00
00
10
00
10
00
10
11
10
00
00
11
10
01
00
10
10
01
11
01
01
11
01
10
00
10
10
00
00
10
11
01
10
10
10
10
01
01
10
11
11
10
11
11
00
00
10
00
00
00
10
10
01
01
01
10
01
00
10
10
00
10
00
11
00
01
11
10
10
01
10
00
10
10
00
00
00
00
01
01
00
11
10
00
01
11
01
01
10
10
00
10
01
01
10
11
01
01
10
11
00
10
11
00
01
10
11
01
00
00
00
11
10
10
00
00
01
01
10
11
11
00
10
00
00
10
00
10
10
00
11
00
11
00
00
10
10
10
00
00
01
10
10
00
01
11
00
11
00
10
01
00
11
01
01
10
01
00
11
10
00
00
11
10
10
01
11
11
00
00
01
10
11
00
00
10
11
00
10
01
01
00
00
11
11
10
10
01
00
00
10
00
01
11
11
10
11
00
01
11
00
11
01
01
10
01
10
11
00
00
00
11
00
00
10
10
01
00
10
01
00
00
00
11
00
10
10
01
10
00
00
10
10
10
01
10
00
10
01
00
00
10
00
10
10
11
11
00
00
10
00
00
01
10
00
10
00
00
00
00
10
00
11
10
01
00
10
11
00
10
00
00
00
01
00
10
00
11
01
00
00
01
01
00
00
10
11
00
00
00
11
01
01
00
10
01
01
11
11
10
00
00
10
00
11
10
00
11
10
10
10
00
10
10
00
10
10
01
10
00
10
10
00
00
11
10
10
10
11
01
10
10
00
01
10
10
00
01
11
11
01
10
00
00
00
01
01
10
11
11
00
00
00
10
00
01
10
10
11
00
10
00
00
10
10
01
00
11
10
10
10
01
00
10
10
00
00
00
01
10
10
11
00
10
01
00
11
00
00
10
01
01
00
01
10
10
10
10
01
01
01
10
11
00
00
10
10
00
00
10
10
01
00
00
10
00
10
11
01
00
01
00
11
11
10
11
00
10
00
10
11
00
00
01
11
11
11
01
01
00
00
11
01
01
11
11
10
01
01
10
10
10
01
00
01
10
11
00
10
00
10
10
00
11
10
00
10
10
10
11
00
01
10
00
00
01
10
10
11
00
01
01
00
00
10
00
10
01
00
00
10
01
00
01
11
11
00
00
00
11
10
11
10
00
10
00
00
10
10
00
01
00
10
10
10
00
00
00
00
10
10
10
01
10
11
10
00
11
10
10
01
00
11
00
00
10
10
00
11
11
01
00
01
10
10
01
01
01
10
00
00
11
10
00
00
10
10
00
00
01
01
00
00
10
11
00
10
10
01
11
11
00
01
10
01
10
10
10
00
01
11
00
00
00
10
11
11
10
00
00
10
00
11
01
10
11
00
11
00
11
10
00
00
10
01
00
01
11
10
10
10
01
01
10
11
10
01
00
01
10
10
10
00
10
01
00
01
01
10
00
11
10
00
11
10
01
00
01
10
00
00
10
11
00
10
10
10
10
10
00
00
01
00
10
11
00
00
00
00
11
00
00
10
00
01
00
10
10
10
00
10
00
00
10
10
00
11
00
10
10
00
11
10
00
11
11
11
00
10
00
00
10
00
10
10
11
00
00
00
00
01
11
10
00
00
00
10
01
10
00
11
00
00
01
10
01
10
10
01
10
00
00
11
11
10
01
00
00
01
10
01
11
00
01
10
11
10
10
01
00
01
10
10
00
01
00
10
01
00
00
10
10
01
00
10
01
10
10
00
01
00
00
00
11
00
11
00
01
10
00
00
10
00
11
10
01
10
11
00
01
10
10
10
00
00
01
10
10
00
00
01
10
00
00
01
00
01
11
01
11
10
00
11
01
00
10
01
00
00
00
10
10
00
11
10
01
01
01
11
11
00
11
00
00
00
00
10
10
01
00
11
11
10
00
10
01
10
01
01
11
10
11
00
00
11
10
00
10
10
00
11
11
11
01
01
00
00
10
00
10
10
01
10
10
00
00
11
01
00
11
10
00
01
10
01
10
11
00
10
10
10
00
01
10
00
11
10
10
00
10
10
10
00
11
10
01
00
10
00
10
00
10
11
01
01
11
10
00
11
00
01
10
00
00
00
10
01
10
11
00
10
10
11
00
00
10
00
10
10
10
10
01
01
01
11
00
00
00
10
10
01
00
11
11
01
10
10
00
01
01
01
10
11
10
00
10
00
01
10
11
00
11
10
01
01
10
01
10
00
00
00
00
10
10
01
00
00
10
10
10
01
10
00
10
00
10
00
01
11
10
01
00
00
00
00
00
00
01
10
10
10
00
11
01
11
11
10
00
10
11
10
00
00
10
01
10
10
01
10
00
11
00
00
01
11
10
10
00
00
10
10
01
00
10
10
00
10
10
11
01
00
10
00
10
10
10
00
10
11
10
10
10
00
00
01
00
11
10
00
01
10
11
11
00
11
10
10
00
00
10
10
10
00
00
10
00
00
10
11
01
01
00
11
00
10
00
01
11
00
10
01
11
00
00
10
10
00
00
00
00
11
11
11
10
01
10
00
10
00
10
10
01
01
01
10
11
00
00
01
00
10
01
10
10
10
11
00
11
00
10
11
00
00
11
10
00
00
11
10
11
10
11
11
10
00
10
10
00
00
10
00
10
10
01
10
10
11
00
10
00
11
00
11
01
10
01
01
10
00
10
10
01
00
00
11
10
00
00
11
00
00
10
10
11
00
00
11
10
11
00
00
01
10
00
00
10
01
11
11
10
11
11
10
10
00
01
10
01
00
10
00
10
00
01
10
10
10
10
00
10
00
00
10
11
10
00
11
00
11
01
00
00
10
10
00
00
10
10
00
11
10
01
00
00
01
10
10
11
11
00
01
10
00
00
00
11
01
01
10
00
11
01
01
10
10
01
00
00
01
11
10
10
01
00
00
01
11
10
00
00
00
10
11
11
00
00
11
11
00
10
00
01
00
10
10
00
01
00
00
10
10
10
10
00
10
00
10
01
10
10
01
00
00
00
11
10
00
10
00
01
11
10
11
01
00
01
01
00
10
11
01
01
11
11
11
10
00
01
11
11
00
00
00
10
10
10
00
00
11
10
00
00
01
10
11
10
10
10
01
01
10
01
00
00
00
01
10
01
01
11
10
11
00
11
00
01
11
10
01
00
00
00
00
10
00
11
10
10
10
01
10
10
10
00
10
10
10
00
10
10
11
00
10
00
10
00
00
11
00
00
11
00
01
00
00
11
00
10
10
00
01
00
10
01
11
10
00
00
00
00
00
10
11
11
10
00
00
10
00
00
10
10
00
01
11
00
10
01
11
01
01
01
00
10
00
00
11
10
10
00
10
00
01
10
00
00
00
10
01
11
10
10
01
01
01
11
11
01
10
01
00
11
10
01
00
10
10
00
01
10
11
00
00
11
00
10
11
10
00
11
10
10
10
10
11
10
01
10
11
10
10
00
10
01
01
10
10
00
00
11
00
10
10
11
10
01
01
10
11
00
01
10
10
00
10
00
10
00
00
10
10
10
00
00
01
11
00
00
10
00
00
00
10
10
00
11
10
01
00
00
10
00
00
10
10
10
00
00
10
11
11
00
10
01
11
01
00
00
10
10
01
10
00
00
00
01
01
10
10
00
11
00
00
00
11
00
00
00
00
11
00
01
10
10
01
01
10
00
11
11
10
00
00
10
11
00
00
10
10
00
00
01
10
00
10
11
00
00
10
11
00
00
00
10
10
11
00
00
01
01
10
10
10
00
10
10
00
11
00
11
10
11
10
11
10
00
11
10
11
00
10
10
01
00
01
00
00
10
11
11
00
00
10
00
01
01
10
00
10
11
00
00
00
11
10
00
01
10
00
00
11
10
00
10
10
00
10
00
00
10
00
10
00
11
10
11
10
10
01
10
11
00
01
10
10
01
10
10
10
00
00
11
00
11
00
01
10
00
10
10
01
00
11
10
00
01
11
00
00
00
11
11
00
00
11
01
01
10
11
11
01
00
00
10
10
00
00
11
00
10
11
00
00
10
10
01
10
10
00
00
11
10
00
11
10
10
00
11
10
11
11
10
10
01
00
10
00
00
10
10
01
10
01
00
00
10
01
00
00
01
10
10
00
00
00
11
11
11
01
00
01
00
10
00
10
10
11
00
00
10
01
11
10
01
11
01
01
01
10
00
11
10
00
01
00
10
00
10
10
00
00
11
10
11
10
00
00
00
10
01
10
10
00
00
00
00
10
00
10
00
00
10
10
11
01
10
01
00
01
11
01
01
10
10
10
00
00
10
10
11
10
11
00
11
10
01
10
10
00
01
00
11
10
00
10
00
11
01
01
10
10
10
00
01
10
00
01
11
00
11
00
01
00
10
11
00
00
00
00
11
10
01
10
11
10
10
11
10
10
10
11
00
11
11
00
00
11
00
10
00
11
10
00
10
01
10
10
10
10
00
10
00
00
00
11
11
00
01
01
00
11
10
10
00
10
10
00
00
00
00
10
00
00
01
01
10
10
00
11
00
00
10
10
00
00
00
11
00
00
00
00
11
00
00
10
00
00
01
00
01
10
11
10
10
10
01
00
10
10
01
00
00
00
10
01
11
11
11
00
01
10
11
10
00
00
10
00
10
11
00
00
10
10
00
11
10
11
00
01
01
10
11
00
11
10
01
10
10
01
00
10
10
10
01
10
01
01
00
00
00
10
11
10
10
00
10
11
01
10
00
10
10
00
10
01
11
11
11
10
01
00
10
01
00
01
00
01
10
01
00
11
00
10
00
01
00
10
00
00
10
00
11
00
00
00
00
10
01
10
00
00
10
10
00
00
10
00
01
10
10
00
01
01
10
10
00
00
11
01
10
00
11
10
00
00
11
10
10
01
00
00
10
10
10
01
01
00
10
00
11
00
01
01
00
10
10
10
01
11
01
10
11
11
10
10
10
01
00
10
00
00
00
01
11
10
01
01
10
11
01
10
01
11
11
10
00
00
00
01
00
11
11
11
10
10
10
01
01
11
10
11
00
10
10
00
10
10
00
01
10
11
01
00
00
10
11
11
11
01
01
11
11
11
00
10
10
10
00
01
11
00
00
00
00
00
10
11
01
10
10
00
00
00
00
11
00
10
10
01
00
11
01
00
10
10
10
11
11
00
00
01
10
01
00
00
10
10
01
10
10
10
00
10
00
00
00
01
10
00
10
00
00
00
10
10
10
01
10
11
01
11
11
10
00
01
11
00
11
01
00
00
10
10
00
11
00
00
00
10
01
00
11
00
11
00
00
01
00
11
00
11
10
10
11
10
01
00
00
11
10
01
10
01
10
10
10
00
00
10
00
01
10
11
11
11
00
10
10
10
00
00
00
00
11
11
10
10
10
10
00
10
00
00
01
10
10
00
10
11
00
10
10
10
00
01
00
10
10
11
01
00
10
10
01
10
11
10
00
00
00
00
11
10
01
01
11
00
01
11
11
00
01
10
11
00
10
10
10
00
00
00
11
10
00
10
10
10
10
11
11
10
01
01
10
10
11
00
01
10
11
01
00
11
11
10
00
00
00
00
00
01
10
01
10
10
00
00
10
11
10
01
10
00
11
01
10
10
01
00
11
01
11
11
00
11
00
10
00
11
00
10
01
01
00
00
00
11
10
01
00
10
10
01
10
00
10
10
00
11
10
00
00
10
00
10
00
10
00
00
10
11
11
01
00
10
00
11
10
10
10
00
01
01
10
00
11
10
00
01
00
10
10
11
01
01
01
01
00
00
01
11
10
01
10
01
01
11
01
10
01
00
00
10
00
00
10
10
00
10
10
00
01
00
10
10
10
10
10
11
00
11
10
01
00
10
10
00
00
11
00
11
10
10
11
11
00
10
10
00
01
10
10
00
01
10
00
10
01
00
01
10
01
01
11
00
10
10
01
10
00
10
01
01
10
11
11
11
10
01
10
11
01
01
11
10
01
00
01
00
11
11
10
00
00
00
00
01
10
10
11
10
11
11
10
00
00
11
00
00
10
10
10
00
00
10
00
10
10
11
10
00
10
11
00
00
11
00
00
00
10
10
10
00
00
00
10
01
00
10
10
00
00
00
10
01
00
11
10
10
11
00
00
10
01
01
00
10
10
01
01
00
10
11
00
01
01
10
00
11
10
01
01
10
00
01
00
00
01
11
10
00
11
00
00
10
01
10
11
00
00
10
10
11
01
10
10
00
11
11
10
11
10
00
00
11
11
00
00
10
10
10
00
10
10
00
00
01
01
01
00
10
01
11
10
01
01
10
10
00
11
11
10
00
01
11
10
00
10
10
10
11
00
10
11
00
10
00
00
00
00
01
00
10
11
11
01
00
00
10
01
11
10
10
01
01
11
01
00
11
10
00
00
01
10
00
01
11
00
01
01
01
10
00
00
11
10
01
10
10
00
01
10
00
10
10
10
00
00
00
00
01
10
00
00
11
10
01
10
01
00
11
00
11
11
10
11
11
01
00
11
11
00
00
00
01
11
10
01
00
11
10
10
01
10
00
00
10
10
00
00
00
10
10
10
11
10
10
11
10
01
11
00
01
10
11
01
00
10
01
00
01
00
10
00
11
00
10
00
10
11
10
10
00
10
10
00
11
01
01
01
10
10
11
01
00
00
10
10
00
11
10
00
10
10
10
00
01
10
00
10
00
11
10
01
00
11
10
10
01
00
00
10
11
00
01
10
11
00
11
00
00
00
10
01
11
00
00
11
00
00
00
11
00
00
11
00
00
10
00
01
11
10
10
00
11
11
00
11
10
10
01
00
00
00
00
11
00
11
11
01
10
10
10
00
10
10
00
00
10
01
01
11
00
01
10
01
01
11
11
01
10
11
11
00
00
10
00
01
10
11
01
10
01
10
11
00
01
10
10
10
11
10
00
00
10
01
00
11
01
01
10
11
11
00
01
10
00
00
11
11
10
10
00
00
00
00
00
00
00
01
00
10
10
00
11
11
00
10
00
00
10
01
10
00
00
00
00
10
00
10
10
00
10
00
10
10
00
10
01
01
00
10
00
00
01
10
10
11
00
00
00
11
01
01
10
10
00
00
01
01
10
00
00
00
11
00
11
10
11
10
00
10
00
11
10
10
00
00
00
01
10
00
10
10
00
01
00
11
01
11
01
10
10
01
11
10
00
01
10
11
00
10
10
01
00
11
10
00
01
11
00
10
10
01
01
10
11
01
00
01
00
11
01
11
11
01
10
11
00
01
01
11
10
00
10
10
10
00
00
11
00
01
01
11
00
00
01
00
10
01
11
10
00
10
10
00
11
01
00
11
00
00
00
00
01
10
00
00
10
00
00
10
10
11
11
10
00
01
11
00
00
10
11
01
01
00
10
01
10
10
01
11
10
00
00
00
11
11
10
00
10
10
10
10
01
10
10
00
11
00
00
11
01
11
10
00
10
10
10
01
00
11
11
11
01
11
11
00
01
10
11
00
00
10
10
00
00
10
00
01
10
11
10
10
10
00
00
00
00
10
11
11
10
10
11
00
01
01
00
11
00
01
10
11
10
00
00
10
00
01
11
10
11
01
01
00
01
10
01
01
10
01
01
10
10
00
00
10
00
10
10
10
01
00
10
00
10
01
10
11
00
11
10
11
10
01
10
10
01
10
10
10
01
00
10
00
00
00
00
10
10
00
00
00
01
11
11
10
00
01
10
10
00
00
11
00
01
11
10
10
11
00
00
00
01
11
00
00
10
10
01
10
10
00
00
10
00
01
10
00
01
00
00
00
00
10
11
00
01
00
11
00
00
10
10
10
11
00
01
11
00
01
00
00
00
01
11
00
00
10
10
01
00
10
10
11
11
11
10
00
01
11
00
11
00
10
01
00
10
01
11
01
00
10
01
00
10
10
10
11
00
11
00
00
10
01
10
10
11
00
00
00
00
10
00
10
11
00
00
00
11
01
10
00
00
00
01
10
10
01
01
10
10
10
00
10
00
11
11
00
10
01
00
00
01
10
10
00
00
01
11
10
01
11
01
00
00
10
10
00
11
11
00
11
00
01
00
10
00
11
10
10
01
00
11
00
00
10
10
00
10
01
00
11
10
10
00
10
10
00
00
11
01
00
10
10
00
00
10
11
00
01
00
11
01
10
11
11
00
01
00
11
00
10
10
10
10
00
10
01
00
11
10
00
00
10
10
10
00
00
10
00
11
00
10
01
00
10
10
00
01
10
10
10
00
00
11
11
00
10
10
00
11
00
10
11
10
00
10
01
10
00
00
11
10
11
11
11
00
00
00
10
01
10
11
10
00
00
00
01
11
10
11
01
10
00
00
10
11
00
10
10
10
01
10
10
00
10
01
00
01
10
10
11
10
11
10
00
11
01
10
01
11
10
01
00
11
10
00
00
11
01
10
10
00
10
00
00
10
00
10
10
00
00
11
10
01
11
00
00
10
00
00
11
10
10
00
00
01
10
00
00
10
10
00
01
10
10
01
00
11
00
11
11
10
01
00
00
01
01
10
00
01
10
11
10
10
10
01
10
11
10
01
00
00
00
00
11
10
00
00
00
11
10
10
10
00
01
01
00
10
10
00
10
01
00
10
11
10
01
00
11
10
10
10
00
11
10
00
00
01
10
01
11
10
01
01
00
00
00
10
10
11
00
10
00
10
11
01
01
00
00
01
00
10
01
10
10
10
10
10
00
00
10
10
01
10
10
10
11
00
11
00
01
00
10
00
00
10
00
00
10
01
01
01
10
11
10
11
10
10
00
01
00
10
10
11
01
10
10
01
11
00
00
01
10
01
11
00
00
01
10
11
01
00
10
11
11
00
11
00
00
00
10
10
00
10
00
01
10
10
00
00
11
01
01
00
10
11
10
10
11
00
00
00
11
00
10
01
11
11
10
00
10
10
11
00
11
11
10
01
10
01
00
01
10
10
01
00
10
11
11
00
11
00
00
01
11
11
10
01
00
00
00
11
11
00
11
01
00
01
10
11
00
11
10
00
00
10
10
10
10
00
01
11
10
00
10
00
00
11
10
01
10
00
10
11
01
11
00
00
11
10
01
00
00
11
10
10
00
11
11
11
00
00
00
00
00
00
00
10
01
10
01
00
10
10
00
01
11
10
00
01
11
10
01
10
10
00
01
11
00
00
11
00
00
10
01
00
10
10
11
11
10
10
01
01
11
10
10
00
01
10
00
00
11
00
00
10
10
00
00
11
01
01
10
01
00
10
10
10
10
01
11
10
10
10
00
10
00
10
00
01
10
00
10
11
10
10
10
00
01
01
00
11
10
11
11
01
11
10
00
00
00
00
10
10
00
00
11
01
10
01
10
10
00
10
00
00
10
10
00
00
11
10
10
00
00
01
11
01
10
10
11
10
10
10
00
00
00
11
10
00
10
11
01
01
10
01
00
10
10
10
10
01
11
00
10
11
01
00
11
00
00
11
10
11
11
11
01
10
10
00
10
00
00
10
10
00
10
00
10
01
10
10
10
01
11
00
11
11
00
11
00
00
11
00
01
01
10
11
10
00
10
10
11
01
00
11
00
00
10
11
00
00
01
00
11
10
01
00
00
01
10
10
01
01
10
11
01
01
10
00
00
10
11
00
00
10
10
01
10
01
00
10
10
11
00
00
00
10
10
10
10
00
00
10
10
00
01
10
01
00
01
00
10
10
11
00
00
01
10
00
01
00
10
11
00
00
00
11
10
10
11
01
01
00
10
00
10
10
11
00
01
00
11
10
01
10
10
00
01
00
10
01
01
00
11
11
00
00
10
11
01
10
10
10
00
00
11
00
01
00
11
00
00
01
10
10
01
10
10
01
10
10
00
00
10
10
00
10
00
10
00
01
11
11
10
00
10
00
10
00
00
10
11
10
00
00
00
11
00
00
11
11
10
10
10
11
10
01
11
00
00
10
10
01
01
10
00
11
10
00
00
11
10
10
01
11
00
10
11
00
00
10
10
01
00
00
11
10
00
00
01
10
00
00
10
01
10
01
11
00
00
10
11
10
11
00
10
10
00
10
10
10
00
00
10
00
00
00
10
10
00
11
00
11
11
01
11
10
11
00
10
10
10
10
00
11
01
00
10
01
10
00
00
01
11
10
00
10
01
00
10
00
10
10
10
10
00
00
11
11
00
11
10
10
00
10
10
11
11
11
10
00
10
00
10
10
00
01
10
01
01
11
10
00
10
10
01
11
01
00
00
10
00
11
10
00
01
10
10
11
10
11
10
11
11
00
00
01
00
10
10
01
11
00
00
11
00
11
01
00
10
11
11
01
00
01
00
10
11
01
11
11
01
01
00
11
10
11
10
00
00
01
10
10
10
01
01
10
11
11
00
10
00
00
11
10
10
00
11
00
00
10
10
00
00
10
01
01
10
10
00
01
00
10
11
01
00
00
01
10
10
11
00
01
10
10
00
10
00
00
10
11
00
01
00
00
00
00
11
11
00
00
11
01
00
10
10
10
00
01
11
10
10
00
00
00
10
00
00
00
11
01
00
00
11
10
11
10
00
10
10
01
10
00
00
00
11
11
00
11
10
00
11
11
01
10
00
10
10
00
10
00
10
11
10
11
00
11
10
10
01
10
01
00
10
10
01
00
10
01
01
10
00
00
10
00
10
10
00
10
01
00
00
00
00
10
00
10
10
01
00
10
01
10
10
10
01
01
10
01
01
11
11
10
10
11
10
00
00
10
11
00
01
10
00
10
00
00
11
00
10
01
00
11
10
01
00
11
00
10
11
01
01
10
10
10
11
00
00
01
00
00
10
11
10
10
00
10
00
10
01
00
11
00
01
10
11
10
00
01
10
11
00
00
10
01
10
11
00
00
00
11
00
11
00
11
10
10
00
00
10
00
10
10
01
00
10
10
00
11
01
00
11
00
00
10
10
10
00
01
11
01
01
11
10
10
10
00
00
11
10
11
11
10
10
11
01
11
10
01
00
11
10
10
00
00
01
10
10
00
00
01
10
10
00
10
10
11
00
10
01
00
10
11
00
01
10
01
00
00
10
11
00
00
01
11
00
11
00
10
00
00
00
00
00
11
10
10
01
10
00
00
10
10
10
01
10
10
01
01
10
11
00
01
11
00
00
10
10
10
10
00
00
00
10
10
00
01
01
10
00
00
10
10
10
01
00
00
11
10
11
10
10
01
10
10
00
10
10
10
00
01
10
00
10
11
00
00
10
10
01
10
10
00
01
00
10
01
11
11
00
11
00
10
11
00
11
10
00
01
00
01
10
10
00
00
10
00
10
01
01
11
01
11
00
01
10
11
00
10
00
10
11
00
00
11
11
00
01
10
00
00
10
10
10
11
00
00
01
10
11
10
10
01
00
00
10
00
00
01
00
10
10
00
00
10
11
10
11
10
00
00
00
00
10
10
00
10
10
10
10
01
01
00
10
11
00
00
10
01
11
10
01
11
10
00
10
10
01
00
00
01
10
10
00
00
00
10
10
00
10
11
10
10
10
01
00
10
11
00
00
00
00
10
00
10
10
10
01
11
10
10
00
01
10
00
00
01
10
00
00
00
10
01
10
11
00
00
00
00
11
10
00
01
10
10
10
00
10
10
01
00
10
00
00
01
10
01
00
10
10
10
00
11
11
00
00
00
11
10
10
01
10
11
00
10
00
10
11
00
11
11
10
10
10
00
11
00
01
00
10
11
10
11
10
11
00
00
00
11
10
01
00
00
00
10
11
01
11
10
00
00
10
10
11
00
10
11
11
00
10
01
10
01
10
01
01
00
10
11
01
00
11
01
00
11
11
00
11
10
11
11
01
00
00
00
10
01
00
00
10
10
00
10
10
01
00
01
00
10
00
10
00
10
11
00
10
10
00
10
00
00
10
10
01
10
00
10
10
01
01
00
00
01
10
10
00
10
11
01
01
00
00
11
10
00
10
01
01
10
11
01
00
10
00
00
10
01
00
11
01
10
10
00
10
10
10
00
10
10
00
00
10
10
00
10
11
00
10
10
11
01
10
10
01
11
11
01
00
10
10
10
01
00
10
10
01
00
11
10
10
00
00
11
10
10
10
01
00
00
00
10
01
10
01
01
00
01
00
00
11
00
00
10
10
00
00
01
00
10
00
00
01
10
01
00
11
00
10
10
00
10
00
00
11
11
00
11
00
00
00
01
00
11
10
01
10
10
11
10
01
00
01
00
10
00
00
00
01
11
11
11
00
00
11
00
00
10
11
01
10
10
00
11
10
11
11
01
00
11
10
00
00
11
00
00
00
10
10
00
10
10
10
00
01
01
10
00
00
00
11
10
01
00
10
11
00
11
10
11
01
01
11
10
00
00
10
11
10
00
01
10
00
10
10
11
10
11
01
00
10
11
01
01
10
10
10
11
11
10
01
01
00
10
00
11
00
10
11
00
01
10
00
10
10
10
01
00
10
10
01
10
10
10
00
01
10
10
00
00
01
10
10
10
00
01
00
01
01
10
00
01
00
10
11
01
10
00
00
00
00
00
10
11
00
01
00
00
10
10
00
10
10
00
11
00
11
01
11
10
00
11
10
00
01
11
11
10
10
00
00
11
00
00
10
11
00
11
11
01
00
01
11
11
01
10
10
00
00
11
01
01
11
10
00
01
10
01
10
10
00
00
00
10
10
00
10
11
00
00
00
00
00
01
11
00
10
01
01
10
10
10
01
10
01
00
10
10
00
00
01
01
00
01
10
10
01
00
10
10
00
11
10
01
01
01
10
10
10
01
01
11
00
10
10
00
00
10
10
00
00
11
00
00
00
00
00
00
10
10
00
10
11
11
00
01
00
10
11
10
00
01
10
11
00
00
10
11
10
10
01
11
01
00
11
01
01
10
10
00
00
00
10
10
00
11
10
10
01
11
00
10
00
01
00
00
11
10
00
00
01
11
00
00
11
10
10
10
01
11
00
10
10
11
00
10
10
00
00
10
00
10
10
10
00
00
10
10
00
01
10
11
11
00
00
10
00
11
10
10
10
10
00
00
01
10
00
01
01
01
10
10
00
01
11
00
00
11
10
01
10
00
00
00
00
11
00
01
00
01
11
00
00
10
01
00
10
10
10
00
11
10
01
00
10
00
01
00
00
11
10
00
10
01
00
00
11
00
01
10
10
00
10
10
10
11
00
01
10
10
10
00
11
00
10
11
00
11
01
11
00
10
10
00
11
11
00
00
10
11
00
00
10
11
00
11
01
10
00
00
10
10
10
00
00
00
00
00
10
10
01
11
11
11
00
11
11
01
01
00
11
10
00
00
00
10
10
11
00
10
10
10
01
10
10
00
10
01
00
00
10
11
10
01
00
00
01
10
11
10
01
00
01
00
00
00
00
10
10
01
00
11
10
10
10
00
10
11
00
00
00
11
10
00
01
00
01
10
11
11
11
01
01
10
10
01
11
11
11
00
00
00
10
11
00
00
10
11
10
00
00
11
00
01
01
11
00
01
00
11
11
00
00
10
11
10
10
01
00
00
11
10
10
11
10
10
11
11
00
00
11
01
00
00
10
10
01
00
01
00
10
10
01
11
01
10
11
10
10
01
10
10
00
00
01
01
11
10
01
10
00
10
10
01
10
00
00
00
10
10
11
11
00
10
10
00
10
01
00
01
00
11
00
00
00
11
10
00
10
10
00
10
00
01
00
11
00
10
00
10
10
10
00
01
00
00
00
00
00
00
10
10
00
00
10
00
00
01
11
01
10
01
10
11
11
10
00
00
00
10
01
00
10
00
10
00
11
10
01
11
10
00
01
01
10
10
01
01
10
11
00
10
00
10
10
00
01
00
00
11
10
00
10
10
10
00
00
10
10
00
10
01
10
00
10
01
10
10
11
10
10
00
00
00
11
11
00
10
11
00
11
10
10
01
10
10
10
01
01
11
01
10
10
01
01
11
01
00
10
11
10
00
11
10
00
01
11
11
11
01
11
10
00
01
10
10
00
00
10
11
00
10
11
01
11
11
10
00
10
10
00
00
10
01
11
10
00
01
00
01
00
10
10
11
00
10
00
10
10
01
10
01
11
10
11
10
11
10
00
10
10
11
01
10
10
00
00
01
00
10
00
00
00
00
01
00
11
10
10
01
00
10
00
10
10
10
01
00
00
01
10
10
10
11
10
00
00
10
00
01
00
10
11
00
10
00
00
10
10
01
00
00
10
11
01
00
10
01
10
10
00
00
10
11
01
00
10
10
00
00
10
11
01
11
00
00
00
10
10
01
00
11
10
00
00
00
01
10
10
00
11
00
10
10
01
01
11
11
10
10
11
10
00
00
10
10
10
01
00
00
01
10
10
01
00
10
00
00
00
10
10
00
10
10
01
10
00
00
11
11
10
00
00
00
00
00
11
10
00
00
10
01
01
00
10
01
11
11
10
00
01
00
00
00
10
10
01
10
11
11
01
01
00
10
00
01
01
11
11
00
01
00
10
10
00
00
10
01
00
01
10
11
00
11
00
00
10
01
00
11
10
01
11
11
10
11
11
01
00
10
01
00
10
10
10
01
00
00
01
00
01
01
00
10
00
00
10
10
01
00
00
10
10
01
01
11
00
10
10
00
10
01
00
00
01
11
00
00
11
10
11
00
01
10
10
10
11
10
01
10
11
10
00
00
00
10
10
11
01
10
00
00
01
10
00
00
11
10
11
10
00
11
10
10
01
10
10
10
10
00
10
00
10
10
10
11
10
00
10
00
11
10
01
11
10
00
00
01
10
01
10
10
10
00
10
10
00
01
00
11
00
01
10
10
00
01
11
01
00
11
01
10
00
01
00
00
10
11
10
11
11
10
00
00
00
10
00
00
10
10
10
10
11
00
00
11
10
01
11
10
00
10
10
01
00
11
11
10
00
00
11
00
00
10
10
10
01
11
01
00
01
01
11
11
00
11
10
10
00
11
10
00
01
10
11
11
10
00
10
00
11
00
01
00
01
10
01
11
01
00
10
10
00
01
11
10
00
10
00
01
10
00
00
01
00
00
11
11
10
11
10
00
10
01
10
00
10
10
01
00
10
00
01
10
10
00
00
10
10
00
11
10
00
00
10
01
00
01
11
10
10
10
00
11
10
00
00
11
00
10
10
10
10
01
00
00
10
10
10
10
10
01
11
00
10
11
00
11
00
00
10
11
01
00
10
10
01
00
10
10
01
10
10
10
00
00
00
10
10
10
01
01
00
10
10
10
00
10
11
00
10
11
00
10
11
10
01
00
10
10
00
10
00
10
10
00
00
10
10
10
00
00
00
00
11
11
10
01
00
11
10
00
00
00
10
11
01
00
00
00
10
11
10
00
00
00
01
01
00
11
01
10
10
10
01
00
11
00
00
00
11
00
10
01
10
10
00
10
11
01
11
10
11
10
00
00
00
00
10
10
01
01
10
10
10
11
10
10
01
11
10
00
10
11
10
00
00
10
10
00
10
10
01
00
00
11
00
01
10
00
01
11
01
00
11
10
11
10
00
10
10
11
00
10
10
10
00
11
00
01
00
10
00
10
10
00
00
10
01
00
11
10
01
11
10
00
01
00
10
10
01
10
00
00
11
10
01
10
01
10
10
01
11
01
01
11
11
10
10
01
00
10
00
00
10
10
10
01
01
00
00
00
00
01
10
01
01
00
11
01
11
11
11
00
00
10
00
10
10
01
00
01
00
10
10
00
00
00
11
10
10
00
11
10
00
10
00
11
00
00
10
11
01
01
00
01
01
10
01
01
11
00
10
10
00
00
10
10
01
01
10
10
10
00
11
10
01
00
00
11
10
11
01
01
10
00
00
10
11
00
00
11
11
00
01
11
10
10
00
00
11
10
01
01
10
10
00
00
10
00
00
11
10
00
11
01
00
11
01
11
00
00
11
11
01
01
11
10
01
10
11
10
00
01
10
10
01
01
11
10
10
00
01
01
01
11
10
01
00
11
11
10
00
00
00
01
10
00
10
00
10
10
00
01
00
11
00
00
10
00
11
11
00
10
00
11
10
00
10
11
11
10
00
01
10
00
00
10
11
10
11
00
10
01
00
11
10
10
01
00
11
10
00
00
10
10
11
11
10
10
10
01
00
01
10
11
00
10
10
10
11
00
10
10
00
00
10
10
01
11
11
01
10
11
00
01
10
11
10
00
00
11
10
11
00
01
11
10
10
00
00
10
10
00
01
11
10
00
10
00
10
00
01
10
00
10
10
00
10
00
10
01
10
01
11
00
00
11
11
10
11
00
01
00
10
10
10
00
00
00
11
10
10
11
00
10
00
10
10
11
10
00
10
10
01
00
11
10
00
00
10
00
10
01
01
10
01
01
00
00
10
10
11
10
00
10
10
00
10
01
11
00
01
10
10
11
01
10
00
10
01
11
00
10
10
01
00
00
10
01
00
01
10
00
01
01
00
01
01
10
11
00
10
10
00
10
01
00
11
00
00
10
10
11
10
10
00
01
10
00
10
11
10
00
10
10
00
11
00
01
00
01
10
00
11
10
01
01
10
10
10
01
00
01
11
00
11
10
10
00
00
10
01
00
11
10
11
01
11
10
10
10
00
10
10
10
01
00
10
10
10
11
10
01
01
00
11
10
10
00
11
10
10
10
10
00
10
00
11
11
10
00
11
11
01
00
00
01
10
10
00
01
11
10
00
11
00
00
11
00
11
10
01
10
11
00
01
01
00
00
11
00
01
10
11
10
11
00
00
01
00
11
10
01
01
11
11
10
10
00
11
10
00
00
10
10
00
10
11
10
00
10
10
10
00
00
10
10
10
00
10
10
00
10
10
00
00
11
00
00
10
00
00
11
00
10
00
00
00
11
00
10
10
00
00
10
01
10
10
11
11
00
01
00
10
10
10
01
01
10
10
00
10
11
01
11
11
10
10
00
00
01
01
10
10
01
00
11
00
10
01
10
11
00
10
10
10
10
10
10
00
10
11
00
00
10
01
11
00
00
11
01
10
01
00
10
00
00
01
10
11
10
01
11
10
11
00
10
01
00
01
11
10
00
10
10
00
00
00
10
11
10
11
10
10
01
00
01
00
01
00
11
00
00
10
00
01
10
10
00
10
00
00
00
10
10
00
11
00
10
01
10
11
00
00
10
11
00
10
11
00
10
11
00
10
10
00
11
10
00
00
11
10
00
01
10
11
01
00
00
01
01
11
10
01
00
10
11
00
00
10
00
01
10
11
00
00
11
01
11
11
01
10
10
00
01
00
10
10
11
00
11
10
00
10
10
10
10
00
00
00
10
11
10
00
00
01
10
00
11
00
01
10
01
01
10
11
11
10
10
01
01
00
11
11
00
11
10
11
00
10
10
01
00
10
11
01
00
10
10
01
01
11
00
01
10
00
00
10
00
01
10
11
11
10
00
10
10
00
00
10
11
01
11
00
10
11
10
00
01
11
10
10
11
00
00
11
00
11
11
00
11
00
01
11
01
00
00
00
10
00
00
10
11
11
11
10
11
11
00
01
00
00
00
10
00
10
10
10
00
11
00
10
00
10
00
01
10
01
11
10
00
10
00
00
11
10
11
10
00
00
10
10
01
10
10
01
01
10
01
11
10
10
10
00
01
10
10
01
01
00
00
11
10
00
00
00
11
00
01
10
00
00
00
00
00
00
11
00
01
10
10
10
11
01
10
10
00
01
01
11
10
11
00
00
01
01
10
11
10
00
00
00
11
10
10
00
10
10
00
00
00
00
10
11
00
00
00
10
00
10
00
11
11
10
11
00
00
11
10
00
00
00
11
10
10
10
00
11
11
00
10
10
10
10
01
00
00
00
10
10
10
01
10
01
00
11
10
10
01
11
01
01
00
10
00
01
10
10
10
10
10
00
00
10
10
00
10
11
00
00
10
01
10
10
10
10
00
01
10
10
10
01
00
11
10
00
00
10
10
10
10
01
00
10
11
00
01
10
01
11
00
01
11
10
00
00
10
10
01
11
00
00
11
10
00
00
10
01
01
11
10
11
01
00
11
00
01
10
10
10
11
01
10
00
11
10
10
10
00
10
00
00
10
00
01
01
11
10
11
00
10
10
11
11
00
10
10
10
10
10
00
10
01
10
00
10
00
10
11
01
10
00
00
00
01
10
11
10
10
00
10
00
00
11
00
10
10
01
10
11
00
10
10
11
00
00
10
10
00
00
10
10
00
00
00
11
11
10
00
11
00
01
10
01
10
10
00
01
11
00
10
10
10
10
10
01
10
00
11
00
11
10
10
10
11
11
00
10
11
11
01
01
01
01
10
10
10
01
10
10
00
10
10
00
00
01
10
10
10
00
10
11
00
00
00
01
10
10
10
10
10
00
10
10
10
00
00
01
01
01
10
01
10
10
10
00
01
11
00
10
00
10
10
10
10
00
10
01
01
10
00
10
10
01
01
11
00
11
00
00
01
11
10
00
10
10
10
00
10
00
00
00
11
00
00
10
11
01
10
10
00
00
00
11
10
10
00
00
01
00
00
01
10
10
10
01
00
10
11
11
10
01
00
01
11
11
01
00
00
10
00
10
10
00
01
00
01
10
11
10
11
10
10
01
00
00
10
11
00
00
01
11
10
00
10
11
00
00
00
10
10
01
00
10
00
00
10
11
00
00
01
10
10
10
00
11
00
10
10
00
10
01
10
00
00
01
11
01
11
11
10
10
00
00
00
10
11
11
01
00
00
10
00
10
10
10
00
10
10
01
11
00
01
00
00
11
01
01
10
11
10
00
01
01
01
11
11
10
00
00
11
01
00
10
10
10
01
10
00
00
01
10
01
11
10
00
11
11
01
11
11
10
00
11
00
00
10
10
00
00
00
11
00
10
10
10
00
00
11
00
11
10
10
11
10
01
00
01
10
11
10
11
10
00
00
00
10
10
01
00
11
00
11
00
01
01
00
10
10
11
00
01
11
00
00
10
00
11
00
00
10
10
00
01
11
00
10
00
10
10
00
01
10
11
00
01
01
00
00
01
10
10
10
01
10
01
01
11
10
11
10
01
10
10
01
01
00
10
10
01
01
00
00
01
01
11
11
01
00
11
11
10
10
00
00
10
10
10
01
00
01
00
11
10
11
10
11
00
00
10
00
10
11
10
00
10
00
01
00
01
11
10
00
00
01
00
10
10
00
11
00
00
11
10
01
00
00
10
00
11
10
10
00
00
11
10
00
00
00
10
00
00
00
10
11
11
00
00
10
00
01
01
10
01
00
11
10
01
00
10
01
00
11
11
00
00
11
11
00
00
11
10
00
00
10
11
00
01
10
00
00
10
00
10
00
00
10
01
10
10
00
10
10
00
01
00
00
10
00
01
10
10
10
10
00
10
11
01
01
10
01
01
11
10
01
00
00
00
10
11
10
10
00
01
10
10
00
10
00
01
10
00
00
10
10
10
10
00
10
11
01
11
00
01
01
11
00
01
10
11
00
11
10
00
10
10
11
01
00
00
10
10
10
01
01
11
11
00
00
10
00
00
10
10
01
11
01
10
01
01
10
00
11
11
00
01
00
01
11
10
10
00
00
11
11
00
11
10
01
10
10
11
11
01
10
00
01
10
10
00
11
00
10
01
00
11
00
10
11
10
00
00
10
10
10
01
01
01
11
11
00
11
10
10
01
10
00
00
10
10
01
10
10
00
10
10
00
00
01
11
10
10
10
00
01
00
00
10
11
10
01
00
10
00
00
00
11
11
00
10
00
00
10
01
10
11
00
01
10
10
11
00
10
11
01
01
01
10
10
00
11
00
00
11
10
00
01
00
01
11
11
11
01
01
00
00
10
11
00
10
11
00
01
00
10
00
10
10
10
10
01
11
10
10
00
00
10
11
00
01
00
10
01
10
10
00
00
00
10
00
01
10
00
01
00
00
10
10
11
01
10
10
10
00
00
01
10
11
01
10
10
10
01
01
10
01
10
10
01
11
00
10
10
00
10
11
10
11
00
00
01
01
10
10
01
00
11
00
00
11
10
10
11
11
00
01
11
10
00
00
01
00
10
11
10
00
00
11
11
10
00
10
10
10
00
10
10
01
01
10
00
10
00
01
01
01
10
00
11
00
10
00
00
10
11
00
00
10
10
01
00
10
10
00
11
10
11
00
00
11
11
10
00
10
01
01
10
10
00
10
00
00
10
10
11
00
00
00
11
10
00
01
11
10
01
10
00
00
10
01
00
10
11
00
01
00
10
10
10
00
10
00
00
10
10
01
11
00
10
11
01
10
10
10
00
01
11
01
00
10
01
10
10
10
00
10
10
10
00
01
01
10
11
10
01
10
10
10
10
11
01
00
10
10
10
00
00
10
10
00
10
01
10
00
01
01
10
00
00
01
10
10
00
00
00
11
00
11
00
10
00
01
01
10
01
00
01
00
00
10
10
01
00
11
10
00
10
10
00
01
10
01
00
10
10
10
01
00
10
01
11
00
10
00
00
11
00
00
10
10
00
00
00
01
10
01
10
01
10
10
01
01
01
11
00
00
10
00
01
01
11
00
10
01
11
01
01
10
11
10
00
00
10
10
00
01
11
01
00
00
11
00
10
11
00
00
11
10
10
00
10
11
01
00
00
00
00
00
01
01
00
00
11
00
10
01
00
11
10
11
10
11
10
10
11
00
10
10
10
00
00
10
10
00
01
11
10
00
00
01
00
00
01
11
11
00
01
00
10
00
01
10
01
10
11
10
11
11
11
00
10
00
00
10
00
11
00
01
11
10
00
00
10
00
11
11
11
10
00
10
10
01
00
10
00
00
00
01
00
11
10
10
01
10
01
11
01
00
10
00
00
00
10
00
00
01
00
10
00
10
11
10
10
00
11
11
00
00
00
10
11
00
10
00
00
11
01
00
00
01
00
00
11
10
10
10
11
00
01
10
01
11
11
00
01
01
10
11
10
11
10
10
00
00
10
11
00
10
10
00
10
10
00
01
10
11
11
01
01
10
01
11
00
00
10
01
11
11
00
00
10
00
11
00
00
10
10
10
10
10
10
00
11
01
10
10
00
10
00
10
01
00
11
10
00
10
10
11
00
11
10
01
10
11
10
00
00
10
00
10
11
01
00
00
01
00
00
10
11
00
00
00
00
00
00
10
00
00
10
01
10
11
00
00
11
00
00
01
01
10
11
00
01
10
01
00
11
00
10
00
01
01
10
00
00
01
10
10
00
10
10
00
00
11
10
11
01
10
10
10
01
10
11
10
10
01
00
01
10
10
11
10
10
00
01
11
11
10
11
10
00
00
00
11
00
11
10
00
11
10
00
10
11
00
01
10
10
11
00
10
00
11
11
00
11
10
10
10
00
10
10
01
00
01
10
00
10
00
00
10
10
00
00
00
01
11
10
01
01
01
00
10
11
10
11
00
00
10
11
00
10
10
00
10
10
11
00
00
11
00
10
10
01
11
10
00
01
01
10
01
00
00
10
00
11
00
11
11
01
11
10
00
10
10
00
01
00
10
00
10
10
01
01
00
10
10
00
01
10
11
00
10
00
01
01
10
00
00
10
11
00
11
00
01
10
00
00
00
00
11
00
11
10
00
11
00
10
10
10
00
00
00
00
10
10
01
00
00
11
10
11
01
00
10
01
00
11
01
10
01
11
10
11
01
00
01
00
11
11
11
10
00
01
00
11
10
00
00
00
10
11
10
00
10
11
00
10
11
00
00
11
11
10
11
01
00
00
01
11
11
10
00
00
00
11
11
01
10
00
00
11
11
01
01
11
10
00
11
01
11
00
10
01
10
10
00
11
11
00
00
10
00
01
00
10
10
11
10
10
10
00
00
01
10
10
00
00
11
00
00
11
10
01
01
10
10
10
00
11
10
00
00
00
11
00
01
10
11
00
01
00
11
11
10
00
10
10
00
10
10
10
00
10
10
00
00
10
11
10
10
00
10
10
11
00
10
10
00
11
01
00
00
10
01
01
00
01
10
10
10
10
01
00
10
10
00
01
10
00
01
00
10
11
11
10
00
10
11
10
00
00
00
10
10
10
10
00
00
10
00
10
10
00
10
01
00
01
00
00
10
10
00
00
10
11
10
00
00
00
10
11
11
01
11
01
00
01
01
01
01
10
10
10
10
01
01
10
10
00
01
00
10
00
00
00
00
00
11
00
10
10
00
11
01
10
01
00
00
10
11
01
10
10
01
01
10
01
11
11
00
10
00
01
10
10
00
00
11
10
00
00
11
10
00
00
10
11
00
01
00
10
00
00
10
10
11
00
01
01
11
10
00
10
10
10
10
01
01
11
00
11
01
10
00
00
10
01
10
11
00
10
00
00
10
01
11
10
01
00
10
10
10
10
00
00
10
10
11
01
10
01
10
00
10
00
00
10
01
10
11
00
01
01
01
00
10
00
10
10
00
10
01
11
10
00
00
00
10
01
01
11
01
10
01
00
11
00
11
11
00
00
10
00
11
01
01
00
01
10
10
01
11
00
00
10
10
11
00
10
11
00
10
00
00
11
00
10
10
00
00
10
00
11
01
00
11
11
00
01
10
01
10
10
00
10
11
01
01
11
00
10
10
01
10
10
11
00
01
10
00
11
01
01
00
10
10
10
11
10
01
00
10
00
01
10
01
10
11
01
10
10
00
00
10
11
00
10
10
00
01
00
10
00
11
10
10
11
01
10
00
10
11
00
10
10
01
00
01
10
01
00
10
01
10
11
00
10
10
10
00
00
11
10
01
11
01
10
10
00
00
10
10
00
00
10
01
10
00
00
00
00
00
11
10
10
00
01
01
00
01
10
10
00
00
01
00
10
11
10
00
10
00
11
10
11
00
00
11
00
10
11
00
01
11
11
01
00
10
11
11
00
01
01
10
00
00
10
11
11
10
00
01
00
00
10
01
11
00
00
10
10
00
00
00
01
10
11
00
10
00
11
10
00
00
11
10
00
01
00
00
10
00
00
01
01
10
11
01
00
00
10
01
01
00
11
10
10
11
01
00
00
01
10
10
10
01
10
01
00
00
00
10
00
00
01
10
10
00
10
10
01
00
11
11
01
01
00
01
11
00
00
11
10
00
01
11
11
10
10
01
10
10
00
00
11
10
00
10
00
10
00
01
11
00
10
00
01
01
10
00
00
10
11
00
10
00
00
00
00
01
01
11
10
01
00
10
11
10
00
00
10
10
01
00
10
11
11
00
00
10
10
10
00
10
00
01
10
00
10
01
01
00
10
00
10
10
11
10
11
00
00
00
00
10
01
10
10
10
10
00
00
00
11
01
00
00
00
01
11
11
00
01
10
10
10
01
11
10
00
00
00
01
10
10
01
00
11
00
11
10
01
01
00
00
11
10
10
11
11
11
11
10
00
10
10
10
00
00
10
11
00
00
00
11
10
00
00
10
00
10
11
10
00
00
00
00
10
00
00
10
10
00
11
10
00
10
10
10
11
00
00
10
10
10
00
11
10
11
10
10
10
01
00
01
11
10
10
00
10
01
11
10
11
10
10
10
01
00
10
10
01
10
00
10
00
01
10
11
10
00
11
10
00
10
10
11
00
01
00
10
10
10
11
01
10
10
10
11
10
10
01
00
11
10
10
01
10
01
11
00
01
10
10
10
11
01
11
11
00
01
00
00
00
11
10
00
01
11
10
10
00
11
10
10
11
00
01
00
11
00
11
10
10
10
01
10
10
11
01
10
00
00
00
01
01
10
11
00
00
00
00
11
10
11
01
01
01
10
11
10
00
10
11
00
00
00
11
10
11
00
00
10
00
00
10
10
01
00
00
10
00
00
11
10
00
10
10
10
00
00
00
00
01
10
01
01
10
11
10
01
11
10
00
00
00
00
11
10
00
10
00
01
00
01
00
11
00
01
10
10
10
11
00
00
01
11
00
10
01
01
01
10
00
10
10
10
11
00
01
11
10
00
00
00
00
00
10
01
01
10
10
00
10
10
10
10
01
00
11
00
10
01
01
01
01
10
10
00
01
00
11
10
00
10
00
11
10
01
00
10
11
11
10
01
01
01
10
10
10
10
11
00
10
10
10
00
10
01
10
01
00
00
10
11
00
00
00
10
00
00
10
11
00
11
10
10
11
01
00
01
10
01
11
00
00
10
00
10
10
01
10
11
00
00
10
00
00
10
01
01
11
00
11
00
10
11
00
11
10
01
00
10
11
11
00
00
01
10
01
10
10
00
00
00
10
01
00
10
10
00
10
00
01
10
10
00
01
00
01
11
11
10
00
11
10
00
10
10
00
10
00
00
00
00
11
10
10
00
10
00
10
10
00
01
01
11
10
00
10
11
00
00
00
10
10
11
11
11
10
00
01
10
01
00
00
11
00
11
10
11
00
00
10
00
10
01
00
10
11
01
10
00
00
01
10
10
00
11
10
11
10
00
00
11
10
00
10
00
10
01
11
11
10
10
01
10
11
00
00
10
00
00
10
00
10
00
10
11
10
10
11
10
00
10
10
00
00
01
10
11
00
00
10
00
00
10
11
01
01
11
11
10
10
00
00
01
00
11
01
00
10
10
01
10
11
00
00
10
10
10
00
10
11
00
01
00
10
00
01
00
11
11
10
01
11
00
00
00
10
11
01
00
00
01
11
10
11
10
00
01
10
00
11
10
01
01
10
11
00
00
11
10
00
00
01
00
11
11
01
10
10
00
01
10
01
00
11
11
10
00
00
00
11
00
00
11
00
00
00
00
00
10
01
01
10
00
10
10
10
00
00
10
10
01
11
11
01
01
00
11
00
10
10
00
00
10
11
00
10
10
11
01
00
11
01
01
11
00
00
10
00
01
10
10
00
00
10
00
10
10
00
01
11
00
00
10
11
00
00
00
10
10
01
11
00
01
11
10
00
00
11
10
00
00
10
00
00
10
00
10
00
10
10
00
10
00
00
10
00
10
00
11
10
01
10
11
10
11
10
00
10
10
01
01
00
10
01
10
10
10
00
11
10
00
11
01
10
00
00
10
10
01
10
00
00
10
00
11
11
10
10
00
01
10
01
11
01
01
10
10
01
10
10
00
01
11
01
10
10
11
11
11
10
00
10
10
10
00
01
10
10
11
00
10
00
11
10
00
01
10
11
10
10
00
01
11
10
00
00
00
00
11
00
00
11
10
00
01
00
01
00
00
00
00
10
11
10
01
10
01
00
01
10
00
01
11
00
00
10
10
10
00
01
01
10
10
01
00
00
01
10
10
10
00
10
11
00
11
00
00
10
00
00
10
10
00
11
10
00
10
10
00
10
01
00
00
10
10
10
00
00
10
00
10
10
00
00
10
00
00
01
01
11
00
01
00
00
10
11
00
10
00
10
00
00
11
10
11
00
10
01
01
00
00
10
10
00
00
11
10
00
11
11
00
01
10
00
11
10
00
00
10
10
10
00
10
01
01
10
11
00
10
01
10
00
00
10
10
00
11
10
11
01
00
11
00
00
00
10
10
00
10
10
10
11
01
01
01
10
00
11
00
00
00
11
00
01
00
10
10
11
00
01
10
11
10
10
01
01
10
01
00
11
00
01
01
01
10
10
10
10
10
01
00
00
11
11
00
10
11
11
11
00
00
10
10
01
00
00
11
10
00
00
01
10
10
00
10
11
00
00
01
01
10
01
10
11
10
00
01
11
10
00
00
00
00
01
10
10
01
10
00
10
01
10
10
10
00
11
10
00
00
10
00
11
10
01
00
00
00
10
11
00
00
10
00
10
10
10
00
00
00
10
10
10
10
10
00
01
01
10
01
00
11
11
11
10
00
00
10
10
00
10
10
00
10
10
00
00
00
00
11
11
10
00
01
10
10
11
10
00
10
11
00
00
01
11
10
10
01
01
10
11
11
00
00
01
01
11
01
11
01
00
10
01
10
10
11
00
00
11
10
00
10
10
10
10
10
01
00
10
10
00
10
10
10
10
10
11
11
10
00
01
10
00
01
01
11
00
10
00
10
10
00
00
00
10
10
10
01
11
01
11
00
10
10
10
00
00
11
10
00
00
01
10
10
00
10
01
10
00
10
00
00
00
01
11
10
01
11
01
01
00
00
00
00
11
11
01
10
11
00
10
00
00
10
01
11
10
01
00
11
00
00
10
00
11
10
10
00
01
11
00
11
00
10
11
00
10
00
10
10
00
11
10
00
10
10
01
10
11
00
00
10
11
00
10
01
00
11
10
11
11
00
01
01
10
10
00
10
11
11
00
01
10
01
00
10
01
10
00
00
00
10
10
00
00
01
00
10
10
01
10
00
11
11
01
01
10
11
00
10
00
00
11
01
00
10
10
01
00
10
11
00
00
10
11
10
01
01
01
10
10
01
10
10
00
10
00
00
10
10
00
00
10
00
00
00
00
10
00
10
00
10
00
01
10
10
00
00
11
10
00
01
10
01
00
00
10
11
00
00
00
10
10
10
10
00
00
11
10
11
00
00
00
00
10
10
00
01
10
10
01
11
01
11
00
10
11
01
10
00
10
10
10
10
11
00
11
00
00
10
11
11
10
00
00
00
10
11
00
00
00
11
10
00
10
00
00
10
10
10
10
00
10
01
00
10
01
10
10
11
00
11
10
01
00
01
10
11
10
00
00
11
00
10
10
00
10
00
00
10
00
10
11
00
11
11
11
10
10
01
11
11
01
00
01
11
01
00
10
10
00
00
10
11
00
01
10
11
10
11
01
00
00
10
00
00
00
11
00
01
10
01
11
01
00
01
10
10
00
01
10
10
00
01
10
10
10
00
10
10
10
00
10
11
00
10
00
11
10
01
01
10
10
00
10
11
00
00
10
11
10
11
10
11
10
00
10
00
01
00
11
10
10
01
00
01
11
10
10
01
10
10
10
11
00
11
10
01
00
10
00
10
10
00
11
10
01
00
00
01
10
10
00
10
11
01
00
00
11
01
00
11
10
00
01
00
00
10
10
01
10
01
10
11
01
10
10
00
11
10
10
01
11
10
11
00
10
00
01
00
10
00
01
00
10
01
00
01
11
11
00
00
11
01
00
10
10
00
11
10
10
00
01
11
00
00
00
11
11
01
00
10
00
00
00
10
10
10
10
01
00
11
00
10
00
01
11
00
10
10
10
00
00
10
00
00
11
11
01
10
00
10
10
00
01
00
10
11
10
10
01
00
00
00
11
10
00
11
10
01
00
11
00
11
00
01
11
10
01
00
10
10
00
10
10
00
01
00
10
10
00
10
10
10
11
10
10
11
11
10
01
00
00
10
00
00
11
10
00
01
00
01
11
11
11
00
00
00
00
11
11
00
00
10
01
10
00
10
01
10
01
00
01
01
00
11
10
01
00
10
01
10
01
00
10
11
10
11
10
01
11
00
00
10
10
01
01
10
01
01
10
01
10
10
00
10
11
11
00
01
10
10
01
00
01
00
11
10
00
10
10
10
01
01
10
00
11
10
01
10
10
01
10
10
00
00
10
10
00
00
10
10
00
11
10
00
10
10
11
00
01
10
01
00
10
11
11
10
10
10
01
10
10
00
00
10
11
00
01
00
00
00
00
01
10
10
00
00
01
10
10
01
01
01
10
00
00
10
00
11
11
00
10
10
11
10
11
00
01
00
10
11
11
10
01
00
10
00
00
10
11
00
00
01
10
01
11
10
00
10
10
00
10
10
10
00
10
10
00
01
11
10
00
11
00
00
01
10
10
10
00
01
10
10
00
11
10
10
00
00
00
10
10
00
11
11
01
00
00
01
01
01
00
00
10
10
10
00
10
10
10
00
01
10
10
00
01
00
01
01
00
10
10
00
11
10
10
00
00
00
00
10
00
11
10
00
00
00
00
11
01
00
10
11
00
11
00
00
00
11
00
10
10
00
01
11
00
10
11
01
00
00
10
01
11
11
10
11
00
00
10
10
11
11
00
00
00
01
11
11
00
01
10
01
10
10
01
10
00
00
00
01
10
11
10
01
00
11
00
01
11
11
01
11
10
00
11
10
10
00
01
10
00
00
11
10
10
11
01
00
00
10
01
00
00
00
00
10
11
11
00
11
11
00
00
11
11
10
10
10
00
00
00
10
10
00
00
00
10
11
00
00
00
11
11
10
10
10
01
10
10
00
10
11
00
00
00
00
10
10
10
11
10
10
01
01
01
00
10
11
01
01
01
00
11
01
10
10
10
01
00
00
10
10
01
00
00
11
10
00
11
10
11
00
01
11
11
00
01
00
11
11
00
01
10
11
00
00
11
10
00
01
11
01
00
11
10
01
00
11
00
10
10
00
10
10
11
01
00
10
00
00
01
10
00
00
01
10
10
10
10
11
00
10
00
00
11
11
10
10
11
00
00
00
01
00
00
01
01
10
11
01
10
11
10
00
01
11
10
00
11
10
10
11
00
00
00
00
10
01
00
11
10
01
00
11
10
00
11
10
10
01
00
10
11
00
00
10
10
10
00
00
01
01
11
00
10
10
11
01
00
10
11
00
01
00
01
00
00
00
10
00
10
00
10
00
10
00
00
00
00
00
11
00
10
00
00
11
10
10
00
01
10
01
00
10
00
01
01
11
01
00
11
10
01
01
10
10
10
10
01
11
10
10
10
00
01
00
01
10
10
01
10
10
00
01
10
10
11
10
00
00
11
00
00
10
10
00
10
00
10
00
11
10
00
10
11
10
00
00
10
10
01
10
00
00
00
11
10
00
10
10
10
11
11
11
10
10
11
11
11
00
00
11
10
10
10
10
00
00
11
10
01
00
11
10
10
00
10
10
01
10
00
00
11
10
00
00
10
01
00
00
11
11
10
10
00
10
10
11
11
00
10
11
01
10
10
10
01
00
00
10
01
10
01
00
11
00
11
01
10
00
00
10
10
00
10
10
01
10
00
10
01
00
00
00
10
10
01
10
01
10
00
10
00
01
10
11
00
10
01
11
00
10
10
00
00
00
10
00
01
10
01
10
11
00
00
01
10
00
01
00
10
00
10
00
11
11
00
11
10
11
10
01
00
00
01
10
00
01
10
10
01
11
11
00
11
10
00
10
10
00
11
11
01
10
01
10
11
01
10
11
11
00
00
10
10
00
00
10
10
00
01
10
00
11
10
00
00
00
10
10
10
00
01
10
10
11
00
00
01
11
11
00
00
10
10
01
01
00
01
01
01
11
10
10
01
10
11
00
00
00
00
00
11
01
01
00
10
00
01
01
00
10
10
00
00
00
00
11
10
01
11
10
01
00
10
10
00
01
00
11
10
11
10
00
10
10
00
01
10
11
01
11
10
00
10
11
00
10
00
01
00
01
00
11
10
11
10
11
10
00
01
01
00
10
10
10
00
00
01
10
00
11
01
10
00
10
10
10
10
00
00
10
10
10
00
10
01
10
10
00
00
00
10
01
00
10
01
10
00
01
00
01
11
10
01
00
11
11
00
00
00
10
11
10
00
01
10
10
11
00
11
00
00
00
10
10
01
01
00
00
10
00
00
11
10
00
10
10
10
10
10
10
00
01
11
10
01
00
00
10
00
00
10
01
00
10
00
11
00
11
00
11
01
10
10
00
10
10
01
00
01
11
00
10
10
00
10
11
11
10
00
10
10
10
01
00
11
00
00
10
00
01
11
01
00
10
10
00
10
01
11
01
00
10
00
10
00
00
00
11
10
01
10
11
11
00
00
00
10
11
11
00
11
01
00
00
00
10
10
01
00
10
10
10
00
10
11
00
00
00
00
00
01
11
10
11
00
10
10
10
00
00
01
01
10
10
10
11
00
01
10
11
11
10
00
10
10
00
01
10
11
00
00
00
11
00
00
00
01
11
01
00
11
00
01
10
11
00
01
10
10
11
01
10
10
11
00
00
00
11
01
00
10
10
10
10
00
01
10
10
00
10
11
10
00
00
10
11
00
01
00
00
10
00
00
10
10
00
10
00
00
01
00
01
00
11
00
10
11
01
10
00
11
00
10
01
10
11
10
00
01
00
10
10
10
00
00
11
10
00
00
00
10
10
00
10
10
10
01
10
10
10
10
01
11
10
00
11
01
11
10
00
10
01
00
00
11
00
01
10
01
00
01
00
00
01
11
11
01
00
11
00
11
10
11
10
00
01
01
10
10
10
10
00
00
10
00
11
00
10
10
00
01
11
01
01
01
00
01
00
00
10
00
01
11
11
00
11
10
00
00
00
10
11
00
11
00
00
00
10
01
10
00
10
01
01
00
01
10
01
00
01
01
11
10
00
10
10
11
01
10
11
01
00
00
11
00
10
10
00
10
00
00
01
10
01
10
10
11
11
01
01
10
00
10
00
01
00
01
10
00
00
01
00
10
10
00
01
00
10
10
00
10
01
00
01
00
00
00
11
10
01
00
11
01
01
00
10
01
00
10
10
10
00
01
00
01
10
10
10
00
11
01
01
10
11
10
00
00
00
11
11
10
10
00
01
11
00
01
00
11
00
00
10
10
00
01
10
11
01
11
10
10
01
10
01
10
11
00
00
00
00
11
10
10
01
10
10
00
00
01
00
11
11
01
10
00
00
10
10
00
00
11
10
00
00
00
10
00
11
01
10
01
00
11
00
10
01
00
00
01
10
10
11
01
00
11
00
00
01
00
10
01
11
11
00
11
10
00
00
11
01
01
01
11
10
11
11
01
01
10
11
10
10
01
11
10
00
11
10
00
01
10
10
00
10
10
10
00
00
00
10
11
00
00
01
01
00
11
10
10
00
00
11
00
00
10
00
11
00
00
10
10
00
00
10
10
10
00
10
10
00
10
00
00
11
00
11
01
00
10
10
10
10
10
01
11
10
11
00
00
00
10
10
10
00
01
00
11
01
00
11
01
00
10
01
10
10
01
01
11
11
01
01
00
10
10
01
01
11
10
00
01
11
10
00
10
10
10
00
00
01
00
00
01
01
01
00
10
01
01
10
10
00
01
11
00
00
11
10
00
00
00
10
10
11
10
00
00
10
10
10
10
10
10
01
00
00
01
11
10
10
00
10
01
00
10
01
00
00
00
00
10
10
10
10
10
01
00
10
11
00
00
10
00
00
00
10
10
01
10
01
10
00
11
10
11
10
00
00
10
11
11
10
01
01
00
01
10
11
11
00
00
00
10
11
10
00
10
10
00
10
11
11
01
00
10
11
10
00
01
11
11
01
01
10
00
00
00
00
11
11
01
00
10
11
00
01
10
01
10
11
01
10
00
00
10
10
00
01
00
10
00
10
10
11
10
00
10
00
00
11
01
10
11
10
01
00
10
11
00
00
10
00
01
10
10
00
00
10
00
00
10
01
00
11
01
11
01
00
11
00
11
11
11
01
10
10
00
00
10
00
10
01
11
10
00
10
11
11
10
00
00
00
10
00
10
11
10
11
01
10
01
11
11
00
00
00
00
10
10
01
01
10
10
10
11
10
11
11
00
00
10
10
00
00
10
00
11
10
01
10
00
00
11
01
11
11
01
11
11
00
00
10
11
00
01
01
10
01
01
00
01
01
10
01
00
10
11
00
00
11
00
01
11
10
00
01
11
10
10
10
10
00
01
10
11
00
00
00
10
10
00
00
10
01
10
00
11
10
10
00
00
10
00
00
10
11
10
11
10
10
10
00
10
11
10
10
01
10
10
11
00
01
10
10
00
00
10
00
10
00
10
00
10
11
11
00
10
11
10
00
10
00
10
10
11
00
01
10
10
00
00
11
10
01
00
11
01
01
00
00
10
00
10
10
11
00
01
11
00
11
10
11
10
00
01
10
00
00
10
10
01
00
10
00
10
10
10
00
11
01
11
01
10
10
11
10
10
01
00
00
10
10
01
10
00
10
00
00
10
10
11
00
00
10
10
11
01
01
10
01
00
10
00
01
10
10
01
01
10
11
01
00
10
00
00
00
11
10
01
00
11
10
00
00
10
11
00
10
10
10
10
01
01
00
00
10
01
01
01
11
00
11
11
10
10
11
01
01
11
11
11
11
00
00
00
10
11
01
01
10
11
10
01
10
01
01
11
01
10
01
00
10
10
11
01
00
10
10
11
01
10
01
10
10
10
00
10
10
00
00
01
10
01
01
00
10
11
00
00
00
10
10
01
01
10
01
10
00
10
11
00
10
10
01
01
11
00
00
10
10
10
10
00
01
10
00
01
00
01
10
11
11
10
11
01
00
11
10
00
01
01
11
01
00
10
10
01
00
00
10
00
00
10
00
10
00
10
00
00
00
00
01
01
10
10
10
11
00
10
00
10
00
00
00
01
10
10
10
00
00
00
00
10
00
01
11
10
10
00
00
00
11
00
11
11
00
01
00
10
00
11
11
10
11
00
01
10
01
00
11
01
10
00
00
00
10
00
00
00
10
01
11
11
00
11
10
11
01
11
01
01
10
11
00
00
01
00
10
01
11
10
11
11
00
01
00
01
00
11
10
00
11
10
10
00
00
10
11
10
00
01
00
11
00
01
11
00
10
01
01
10
10
00
00
00
11
00
01
01
00
10
00
10
00
10
10
00
11
10
01
10
00
00
10
11
00
11
01
00
00
00
01
10
00
01
10
10
01
10
11
01
10
10
00
10
00
00
10
10
11
00
00
10
00
11
11
11
00
10
11
10
11
00
00
10
10
10
01
10
10
00
10
01
00
00
10
11
01
10
10
10
10
11
11
00
01
00
10
10
11
00
00
00
10
00
01
01
10
11
00
10
10
10
00
01
11
11
11
10
10
10
01
00
00
10
10
10
11
10
00
10
10
00
11
01
11
10
11
01
10
01
01
10
10
00
00
10
00
01
10
10
11
10
00
00
10
00
10
10
00
00
10
11
10
10
00
01
11
00
00
10
10
00
00
01
10
01
00
00
10
11
00
00
00
11
11
00
01
10
01
00
00
00
10
10
00
00
00
10
10
11
00
00
10
00
00
10
10
00
10
10
10
00
00
10
11
01
01
01
11
01
00
01
11
10
01
00
11
00
10
10
10
11
00
10
10
00
00
00
00
10
10
00
10
10
00
00
10
10
00
00
10
11
10
00
11
11
00
11
00
00
00
00
10
11
01
00
11
00
10
10
10
10
00
00
11
11
00
11
10
10
01
00
11
01
01
11
00
10
00
00
10
10
00
00
11
00
00
10
10
10
01
00
11
00
00
00
10
01
01
01
10
11
10
10
10
00
00
10
00
00
10
01
01
10
11
10
01
11
00
01
01
11
01
01
11
10
10
00
11
10
01
00
00
11
01
00
10
10
10
01
11
10
01
00
11
01
11
10
10
10
01
01
11
10
00
00
10
11
10
00
10
00
01
10
00
00
10
10
00
01
11
00
00
00
00
11
00
11
10
01
00
10
10
01
10
11
10
10
00
00
00
11
11
01
11
00
00
01
10
10
01
00
10
01
10
10
10
10
01
10
01
10
00
01
00
10
00
01
10
11
11
00
01
01
01
10
10
11
01
01
10
00
10
10
00
00
01
11
00
11
00
10
10
10
11
10
10
00
10
00
00
10
10
00
10
10
01
10
11
10
00
10
00
00
10
10
00
10
10
00
10
00
00
01
11
10
10
00
00
10
00
11
00
00
10
01
00
11
11
10
11
10
00
00
00
10
01
00
11
10
01
01
00
00
10
10
00
00
10
10
01
00
01
00
10
10
00
00
01
00
11
00
00
00
10
00
01
00
10
11
11
10
00
11
10
00
10
10
00
10
00
10
10
10
00
00
00
01
01
10
10
10
01
00
10
10
10
00
00
10
01
00
11
00
01
01
10
00
10
11
00
01
10
01
00
01
00
10
10
11
00
00
10
01
01
00
10
10
00
10
11
00
01
10
00
01
11
10
00
00
01
00
01
01
10
01
11
10
01
10
10
00
01
01
00
10
10
00
11
10
00
10
10
10
00
11
10
00
11
10
00
00
11
00
10
01
00
01
01
00
10
00
00
11
11
11
00
10
10
10
01
01
00
11
01
11
11
00
10
00
10
10
00
00
00
11
10
10
00
00
01
01
10
10
01
11
01
10
00
00
10
10
00
00
10
10
00
00
11
10
01
00
00
10
00
11
11
10
00
11
00
11
00
01
10
00
10
01
00
10
00
00
00
01
00
01
10
11
10
11
11
00
10
11
00
10
11
00
01
00
10
00
11
00
00
10
00
10
11
00
10
00
10
10
01
00
01
01
10
11
10
11
11
10
01
10
11
10
11
01
01
00
10
01
00
01
01
10
00
01
00
01
00
10
10
00
00
10
10
00
10
10
01
00
11
11
01
11
10
00
10
10
01
00
11
00
00
11
10
00
00
10
10
00
10
10
11
10
00
01
00
00
00
00
10
10
10
00
01
10
11
10
01
00
10
00
01
10
10
10
00
10
00
10
10
11
10
01
00
01
11
01
00
10
10
01
11
10
01
00
10
11
00
00
10
00
01
11
01
11
11
01
01
01
10
00
00
00
10
11
00
00
10
00
11
01
00
10
01
10
11
00
10
01
10
00
10
00
01
11
11
10
01
00
01
10
10
00
00
01
01
00
00
01
10
10
00
01
01
11
10
10
10
00
01
01
00
11
10
00
10
10
01
10
11
10
10
00
10
01
10
00
00
01
10
01
10
11
11
11
01
10
10
01
10
01
10
10
00
00
10
10
10
11
00
01
10
01
01
10
00
10
00
01
00
01
10
10
01
01
10
11
00
00
00
00
00
11
10
11
11
10
10
01
11
10
10
00
10
00
00
11
10
01
01
01
00
10
10
10
11
00
00
10
00
11
11
10
00
10
10
01
00
10
10
00
11
00
00
00
10
00
10
10
11
11
00
00
00
00
10
11
00
01
00
01
10
10
10
11
10
01
11
00
10
10
01
00
01
11
10
01
10
10
01
10
10
00
01
00
10
00
11
10
00
00
00
10
01
00
10
10
10
11
00
10
11
11
00
11
00
01
00
00
10
10
10
01
10
11
01
01
01
10
11
01
00
10
10
00
01
01
11
11
10
00
10
00
00
11
10
00
10
10
10
00
01
10
10
01
00
01
00
10
10
00
00
00
10
11
00
00
00
10
11
00
00
10
00
10
01
00
10
10
01
10
01
10
10
01
00
10
01
11
11
00
00
10
10
00
10
01
00
11
01
10
00
01
11
10
01
00
00
01
10
00
11
00
10
10
00
01
10
10
11
00
01
00
01
00
10
10
00
10
10
11
10
00
01
00
00
00
11
10
10
01
11
00
11
01
01
10
00
00
10
00
11
10
00
01
10
00
00
10
10
00
11
01
10
01
01
01
10
10
10
10
00
00
00
11
10
01
11
10
00
00
11
01
10
11
00
00
00
01
00
10
00
10
11
00
10
00
01
10
10
00
01
10
00
10
10
11
00
00
00
00
10
10
00
11
10
10
11
01
01
01
01
00
10
11
10
00
00
11
11
00
10
11
11
01
01
00
00
10
11
10
00
00
11
10
00
10
10
10
01
00
00
00
00
00
00
00
10
00
10
11
10
10
11
10
00
10
10
00
11
00
10
10
01
01
00
10
00
00
00
01
10
10
11
00
00
11
11
01
00
01
01
10
10
00
01
00
11
11
11
01
00
10
10
00
10
11
10
00
00
11
01
01
01
10
00
00
11
11
10
00
00
10
11
10
00
00
00
00
10
00
00
01
10
10
00
10
00
11
10
10
10
00
10
00
00
00
00
10
10
10
10
11
00
01
01
10
11
00
00
10
10
00
00
10
10
10
01
01
01
11
01
10
11
01
00
10
11
01
10
11
00
11
01
00
10
10
01
00
10
10
01
11
10
00
01
10
11
00
01
10
11
10
10
10
00
10
00
00
10
01
00
01
10
00
01
10
10
00
00
00
00
01
11
01
00
11
00
10
11
11
11
01
10
10
00
10
00
00
10
10
00
11
10
10
11
10
11
00
01
10
11
11
01
10
10
01
10
10
00
10
10
10
00
00
11
01
00
10
10
11
01
10
10
00
11
00
01
11
10
00
00
10
10
00
01
10
11
00
01
00
11
00
11
10
00
10
00
00
10
11
01
11
11
01
00
10
10
11
10
00
01
00
00
10
10
10
00
11
11
00
10
11
00
11
10
10
10
00
00
10
00
00
10
00
11
10
01
11
10
10
00
01
11
11
10
01
00
11
00
00
00
10
10
00
00
11
10
00
01
10
00
10
00
10
10
10
00
11
10
00
00
11
10
10
10
00
10
10
11
10
00
00
00
00
01
10
10
01
00
00
11
10
01
11
00
10
10
10
00
01
10
00
10
01
00
11
10
11
11
11
10
00
00
11
00
01
00
10
00
01
11
11
00
00
00
00
00
11
11
00
10
00
01
10
00
11
10
00
00
10
01
00
10
11
00
01
00
00
10
10
10
01
00
10
00
00
00
01
10
11
10
00
10
10
00
00
00
11
00
00
10
00
01
10
01
10
10
11
01
11
00
01
10
00
11
11
01
10
00
00
00
10
10
00
00
10
11
11
11
10
10
00
00
00
10
10
01
00
10
10
00
10
10
00
01
10
00
00
00
11
00
01
01
00
01
10
00
00
10
10
00
10
10
00
01
10
10
10
10
11
00
00
00
00
00
10
00
11
00
10
01
10
10
11
10
00
10
10
10
00
10
10
11
00
10
11
00
11
01
11
10
10
10
10
00
00
11
10
00
11
10
01
11
10
10
01
00
11
00
00
01
00
11
10
10
00
11
10
00
00
10
11
11
01
10
10
10
00
00
10
00
00
00
10
10
10
10
01
00
10
00
00
11
01
10
01
00
10
11
00
01
00
11
11
11
11
10
01
00
00
11
10
00
11
10
01
11
01
00
11
11
11
11
00
00
00
11
01
00
11
01
10
10
00
10
11
01
00
10
10
00
00
01
10
00
00
10
00
01
11
10
00
10
10
10
11
00
01
01
10
01
10
01
00
00
00
10
11
11
01
00
00
10
10
10
01
11
10
10
01
01
11
11
00
00
11
00
01
10
11
11
10
00
10
10
10
11
00
00
10
10
00
11
01
00
00
10
10
01
10
00
11
00
10
11
10
10
01
00
00
00
10
01
10
01
00
00
10
00
10
10
00
01
00
10
10
00
00
10
00
01
10
10
00
00
10
10
10
00
10
10
10
11
00
01
01
10
10
00
00
01
11
11
10
00
11
10
01
01
11
11
00
00
10
00
00
00
00
10
01
01
10
01
01
10
00
11
00
10
10
00
10
00
11
10
00
00
10
10
00
11
10
01
01
10
10
00
01
00
11
01
01
10
00
10
01
00
10
11
01
10
00
10
00
00
11
00
11
10
01
00
00
00
10
11
10
10
00
10
10
11
11
11
10
00
10
10
00
11
01
00
00
11
10
01
10
11
00
00
01
00
00
10
00
01
00
10
01
10
00
10
10
10
10
00
10
10
00
01
10
10
10
10
10
10
11
11
00
01
00
11
00
01
10
00
00
01
00
10
01
10
01
00
00
00
00
00
10
10
01
00
11
00
00
11
00
11
10
11
00
11
10
01
10
10
11
10
01
01
10
10
01
10
10
10
00
01
00
01
01
10
00
10
10
01
00
00
01
10
11
10
01
10
00
11
00
01
00
00
10
10
00
10
10
00
00
01
01
00
11
10
11
10
11
00
00
10
10
10
11
10
00
10
00
11
11
11
10
11
11
00
01
11
00
00
11
11
00
00
10
10
01
10
10
01
11
00
01
00
00
00
00
00
10
10
10
10
01
00
11
10
00
01
00
00
10
00
00
11
10
10
10
10
01
00
00
11
00
10
10
10
11
10
10
01
00
00
10
10
01
00
10
01
10
00
11
10
00
00
10
10
11
10
00
10
10
00
10
00
00
10
11
01
00
00
10
11
00
00
01
00
01
10
00
10
00
00
11
10
01
11
10
01
01
10
11
10
00
10
00
10
10
01
10
01
01
01
01
01
10
00
00
01
00
11
10
00
11
11
01
11
01
00
00
10
10
00
00
10
01
00
00
00
10
01
11
00
01
10
10
01
01
00
10
11
10
10
01
00
10
00
00
01
00
10
11
00
11
00
10
10
10
11
00
10
11
01
10
00
10
00
00
10
11
00
01
10
10
00
10
00
10
00
00
01
11
00
11
01
00
00
10
11
00
10
11
10
10
10
10
00
00
00
10
10
00
00
00
10
11
10
10
10
10
10
10
10
11
10
00
10
10
10
10
01
10
10
00
01
10
01
11
11
10
10
10
01
11
01
10
11
10
00
00
00
00
10
00
00
00
10
00
11
11
11
00
10
01
00
00
00
10
10
10
00
00
11
01
10
00
00
11
01
00
11
11
01
00
00
11
10
10
00
01
11
10
11
10
00
11
10
10
11
11
01
01
01
10
00
10
10
11
10
00
00
00
11
00
10
10
01
11
10
10
00
01
10
01
00
10
10
01
10
10
01
00
00
10
10
10
00
00
10
00
00
01
00
00
11
01
01
10
00
00
00
10
11
01
01
00
01
10
10
00
10
10
10
00
00
10
11
11
11
11
00
11
11
01
01
10
11
00
00
10
01
00
11
11
10
00
10
10
00
00
01
00
01
01
10
10
11
11
00
01
11
11
10
10
10
01
10
10
01
00
10
10
11
00
00
10
01
01
10
00
00
00
10
10
10
11
10
01
00
10
01
00
00
11
10
01
10
10
00
10
01
10
10
01
11
11
01
10
00
00
10
10
01
01
00
00
10
00
10
11
01
00
11
11
01
01
10
10
10
01
00
10
00
00
00
11
00
11
10
01
01
01
11
10
11
00
10
00
10
11
01
00
10
10
10
00
10
10
00
10
10
01
01
00
10
00
10
00
00
10
10
01
00
00
00
10
10
11
10
10
00
10
00
11
00
10
10
10
10
10
00
11
10
00
11
10
11
10
01
00
00
01
11
11
00
11
10
00
00
01
01
10
10
00
00
00
11
01
00
01
01
11
00
11
11
10
11
10
01
01
01
00
10
01
10
01
01
11
01
01
00
10
10
00
00
11
10
01
00
00
01
00
01
10
00
01
00
00
10
10
00
00
10
10
00
01
10
01
00
00
10
10
00
11
10
10
01
10
00
10
10
01
01
00
10
11
00
01
01
10
10
00
11
11
01
00
11
00
11
11
00
00
11
10
01
00
10
01
10
00
01
10
10
01
10
01
10
10
10
10
10
10
00
00
00
11
00
01
10
00
00
10
01
10
11
00
00
10
10
11
10
10
00
10
01
01
00
10
11
10
00
00
10
11
00
01
00
10
10
00
01
10
00
01
00
10
01
00
10
10
11
10
01
00
11
11
00
00
10
11
00
00
11
00
00
00
10
10
01
10
01
00
00
00
00
10
10
10
00
00
10
00
00
10
00
11
00
01
00
00
01
11
10
10
00
10
10
01
11
10
01
11
11
10
10
01
10
00
00
11
10
10
00
01
11
10
10
10
01
11
00
01
10
10
00
00
00
10
10
01
00
11
11
01
10
10
00
11
00
00
11
01
00
00
00
00
00
10
01
00
10
10
00
10
10
11
10
10
00
00
11
11
00
10
11
10
00
01
00
11
10
00
10
10
11
10
00
00
00
00
11
00
11
01
01
11
11
10
00
11
10
01
01
01
01
10
11
00
10
11
00
11
10
00
00
00
11
11
00
00
01
10
00
00
10
00
10
11
10
11
10
10
00
01
10
11
10
01
00
00
00
10
10
11
10
01
11
10
01
00
00
00
11
10
10
10
00
10
10
00
10
10
11
10
00
10
00
00
11
10
00
00
00
00
00
01
11
01
10
10
10
01
00
01
01
01
10
11
10
10
11
00
00
00
00
10
10
00
00
00
10
10
10
00
10
11
00
00
10
10
10
00
10
10
00
10
10
00
00
11
10
11
01
11
11
10
00
10
10
00
00
10
11
00
11
10
01
00
10
10
00
00
11
10
00
11
11
00
00
00
00
10
00
10
10
01
01
10
00
10
00
00
10
11
00
00
00
10
10
10
00
00
01
01
10
11
10
00
00
00
00
11
00
00
01
00
10
11
00
01
11
10
01
00
11
00
00
10
01
10
00
10
11
10
10
01
00
11
11
01
00
00
10
10
10
11
01
00
10
10
10
10
00
11
01
10
10
01
10
10
10
11
01
10
01
00
10
00
00
11
11
01
01
00
10
10
00
00
01
11
10
00
11
11
00
01
01
10
00
00
10
00
01
10
10
10
01
00
10
01
00
11
11
10
00
00
10
00
00
10
00
10
10
00
11
10
00
10
10
01
10
00
11
11
11
11
10
10
11
00
00
00
10
10
10
10
00
00
10
11
01
10
10
00
11
10
00
00
00
11
11
00
10
01
01
00
01
10
11
10
11
10
11
00
01
00
10
00
00
10
00
11
11
00
00
00
01
10
10
00
10
00
10
11
01
10
10
10
10
01
01
11
00
01
00
01
01
00
11
10
00
00
11
10
00
11
10
01
00
10
11
11
10
01
00
11
11
11
00
11
01
00
10
11
00
00
00
01
00
00
10
10
00
11
10
00
00
00
11
00
11
10
00
11
01
00
01
10
11
00
10
10
00
11
11
10
00
10
10
00
00
11
01
01
10
10
11
11
00
00
00
01
00
11
10
00
00
00
10
10
00
10
10
11
11
01
01
00
10
10
01
10
00
00
10
00
10
00
01
01
10
10
00
01
00
10
00
00
11
00
01
01
00
11
01
00
10
10
10
11
10
01
00
00
00
00
10
10
10
00
10
00
10
00
00
11
00
11
11
00
00
01
11
00
00
10
00
01
11
10
10
10
01
01
11
10
00
00
10
10
10
00
10
01
00
10
10
10
00
10
11
00
00
10
00
10
10
10
00
10
10
01
01
10
01
10
11
10
11
01
10
01
00
00
11
10
10
10
01
00
11
00
01
11
10
01
10
00
00
10
00
00
10
10
10
10
01
00
01
00
10
00
10
11
00
01
11
10
00
11
10
01
01
10
00
10
00
00
00
11
10
01
00
00
10
00
10
01
00
10
10
00
00
10
01
00
10
10
00
01
10
10
00
00
01
10
10
10
01
00
00
11
10
10
01
11
10
00
10
01
00
00
00
00
10
10
01
01
11
10
10
10
00
01
00
11
11
10
01
00
00
10
00
01
11
00
00
10
10
11
00
10
10
01
00
11
10
10
10
00
11
01
00
00
10
10
00
01
10
10
00
00
10
10
00
10
10
00
00
00
11
00
00
10
00
11
00
11
01
10
01
01
11
10
10
00
11
11
00
01
01
11
10
00
11
10
00
00
11
10
11
11
01
10
01
11
00
10
10
00
01
10
10
01
11
00
00
00
00
11
01
10
00
01
01
10
11
00
10
11
00
00
11
10
01
10
10
10
00
11
10
10
01
00
01
00
11
10
10
10
01
10
10
01
00
01
00
10
10
01
00
01
01
10
01
10
00
00
00
11
01
00
11
10
11
10
10
10
01
11
01
00
00
11
10
01
11
10
10
10
11
10
01
00
10
00
01
10
10
00
11
00
01
00
00
10
00
10
00
11
01
01
00
11
10
11
10
11
10
00
10
10
00
01
01
11
10
11
00
00
00
10
11
00
11
10
00
00
01
01
00
01
11
00
10
00
00
10
00
10
00
00
00
00
10
10
00
00
10
00
00
01
00
01
00
00
01
11
11
10
00
00
00
01
00
10
10
10
00
01
00
10
00
01
10
10
00
00
10
01
10
00
00
10
00
11
00
10
00
10
00
10
00
10
11
10
01
00
00
11
10
10
10
00
00
01
11
10
00
10
00
00
01
10
11
10
01
10
00
10
01
00
10
10
00
10
10
10
00
01
10
10
10
00
00
10
11
10
10
11
10
01
00
01
00
00
00
01
11
11
10
00
00
10
10
10
01
00
00
01
10
00
10
11
01
10
11
11
10
10
00
10
00
00
11
00
11
10
00
10
01
00
00
00
10
11
10
11
01
10
10
00
00
00
10
01
10
00
10
10
11
01
10
10
10
00
00
00
11
00
00
00
00
00
00
11
11
01
00
11
11
01
00
00
11
11
00
10
11
00
00
10
11
00
10
10
00
11
11
11
00
11
10
10
10
00
00
10
11
00
00
00
01
10
11
00
00
00
10
00
10
00
00
01
00
11
10
11
01
00
00
10
10
00
00
01
00
01
10
10
00
01
00
10
10
00
11
10
10
11
11
00
01
01
00
11
10
00
10
01
00
10
10
11
10
01
01
10
11
11
10
00
10
01
10
01
01
11
10
10
00
11
00
00
01
10
10
00
11
11
10
10
10
01
01
11
10
10
00
00
10
10
01
00
10
10
01
10
11
00
00
11
11
01
11
11
00
00
11
10
11
00
00
10
11
10
01
00
10
01
10
10
00
10
10
10
00
01
10
00
10
00
11
11
00
01
11
10
10
11
00
10
00
00
10
11
10
00
10
00
10
10
11
00
00
00
01
00
11
01
00
10
00
01
10
10
11
00
01
01
01
11
11
00
01
01
00
00
10
11
00
01
10
10
11
00
10
10
11
00
00
10
10
00
11
10
01
11
00
11
10
10
10
01
10
00
00
11
10
10
10
01
10
00
10
10
10
00
01
10
00
00
00
10
00
00
01
10
10
10
11
00
10
11
01
11
00
10
00
01
11
01
00
01
01
01
11
00
10
10
01
01
11
01
01
10
00
00
10
11
00
01
10
01
00
10
00
00
00
10
11
00
10
11
00
11
00
11
00
10
11
01
11
00
11
11
00
01
10
00
00
00
00
00
11
10
10
11
00
00
10
10
10
00
10
11
00
10
10
01
00
10
11
10
01
01
00
01
01
00
10
10
00
10
10
11
00
01
11
10
00
01
00
00
10
10
01
10
00
00
00
11
10
10
01
10
10
10
10
01
00
00
00
00
11
01
10
10
00
10
10
01
00
10
11
01
10
00
11
00
00
11
11
01
00
10
00
11
10
10
10
11
00
01
10
01
11
00
01
00
10
10
00
10
00
10
10
11
01
00
00
00
10
00
10
00
00
00
11
11
10
11
11
01
00
01
11
11
00
00
00
00
10
10
00
10
10
00
10
00
10
10
01
10
00
00
10
00
10
11
11
00
01
11
10
10
10
00
00
10
10
01
10
00
00
00
00
11
00
10
00
10
01
00
10
00
00
01
01
10
01
11
00
11
11
11
00
01
11
00
10
10
11
00
11
10
00
00
00
10
10
10
01
00
11
01
00
00
10
01
00
11
10
10
10
01
10
10
11
00
10
10
00
01
00
01
01
00
10
11
00
10
10
01
01
11
01
00
10
10
11
10
00
00
00
10
11
10
11
00
10
10
10
01
10
10
10
00
01
00
00
01
00
10
10
00
00
10
00
11
00
10
10
10
00
00
10
10
10
10
00
00
11
00
01
11
10
10
10
01
00
10
00
10
11
01
11
00
00
10
00
00
10
11
01
11
11
00
10
10
11
00
10
00
00
01
00
10
11
11
00
00
10
11
11
00
10
00
00
00
01
00
11
10
01
10
00
10
00
10
10
00
01
11
01
10
01
01
00
00
00
10
10
10
00
00
01
11
00
00
00
10
11
10
00
00
11
11
11
01
00
00
00
10
11
10
00
01
10
10
11
00
01
10
00
00
11
10
00
01
11
10
01
10
11
10
11
10
00
10
00
01
10
01
01
01
10
10
10
10
00
01
01
10
10
10
00
11
00
10
00
10
00
10
11
10
01
10
11
00
11
10
10
00
00
10
10
00
00
10
01
10
11
10
10
10
10
10
00
11
10
00
11
11
01
00
00
00
01
10
00
11
10
10
00
00
10
00
11
10
00
00
00
00
00
10
00
11
00
10
10
00
00
00
11
11
00
00
10
10
10
10
01
00
11
01
11
00
01
00
01
11
11
10
00
00
10
00
01
01
11
00
00
11
00
10
11
11
10
10
10
10
10
00
00
11
11
00
11
01
10
10
00
10
00
01
10
10
00
01
01
10
00
10
01
00
01
01
10
10
00
10
01
01
00
10
10
10
00
00
11
00
00
10
00
01
00
10
01
00
00
01
01
00
01
00
01
00
00
11
10
00
01
00
10
00
00
10
01
00
11
10
01
01
00
10
00
00
10
10
10
00
00
00
00
00
11
10
01
10
10
00
11
10
01
10
11
00
01
00
11
10
00
01
00
00
10
00
01
11
00
00
10
11
10
10
11
00
11
10
10
11
01
01
00
10
00
00
11
10
10
00
00
11
11
00
10
01
10
10
10
01
00
10
11
10
10
00
00
10
10
00
00
01
10
00
10
10
00
10
01
00
01
01
00
01
11
10
10
10
11
00
10
10
01
00
00
00
11
10
01
01
10
10
00
00
00
01
11
00
10
11
00
01
00
00
00
00
00
11
10
00
00
11
01
01
00
11
00
00
00
00
10
00
00
11
10
10
01
11
11
10
10
10
11
01
00
11
10
11
00
00
00
01
11
10
00
10
00
10
01
00
01
00
10
00
00
00
11
10
00
10
11
11
11
00
01
01
11
10
00
00
10
10
01
11
10
00
00
01
00
01
01
10
10
10
00
01
00
11
10
10
00
00
01
01
00
10
11
10
10
10
10
01
01
00
10
00
11
10
10
10
00
00
11
10
00
00
01
00
10
00
10
10
00
01
11
10
00
00
10
11
01
11
00
10
10
10
11
01
00
01
01
01
00
00
10
11
00
00
10
10
10
10
10
11
11
00
01
11
00
00
00
10
00
10
11
11
11
10
10
00
00
00
10
01
00
01
10
10
00
10
01
00
00
10
11
10
01
00
10
10
00
00
00
00
00
00
11
01
10
01
10
01
00
00
10
11
10
01
01
10
10
00
00
00
01
11
00
10
11
00
10
10
00
10
00
01
10
01
10
10
10
11
00
10
10
10
10
11
00
11
00
00
01
10
00
10
00
00
11
11
01
10
00
10
00
10
00
10
11
00
01
10
11
01
00
00
00
00
11
10
00
01
10
00
00
10
00
10
11
00
00
00
10
01
00
10
10
10
10
00
00
10
00
10
01
10
10
01
10
11
00
11
10
01
00
11
00
00
10
10
10
00
01
10
10
00
11
01
00
00
10
00
00
10
01
10
11
00
01
10
11
11
10
00
11
00
01
00
11
10
01
10
11
00
01
00
10
00
00
00
10
10
00
00
00
00
11
01
11
00
11
00
10
01
00
10
10
00
01
01
10
10
00
00
10
01
11
00
10
01
00
00
00
10
00
10
00
00
10
10
00
01
01
00
01
01
10
01
00
10
00
00
11
00
10
10
10
10
10
00
11
10
00
10
11
00
11
01
11
10
01
01
01
11
10
01
10
10
01
00
01
11
11
01
00
11
00
10
00
00
00
11
00
11
10
01
11
10
00
10
11
00
10
10
10
10
00
01
00
00
10
10
11
01
10
00
10
00
01
10
10
00
10
00
00
10
11
00
00
00
10
10
00
01
11
11
00
01
10
10
00
00
10
11
00
10
00
10
10
10
00
01
10
11
00
10
10
10
00
11
10
01
01
01
11
11
00
10
10
10
01
00
10
11
00
00
10
11
00
11
10
01
01
00
00
11
01
11
11
01
10
10
10
01
00
10
10
00
10
11
00
11
00
00
00
10
11
11
00
00
10
10
11
10
01
10
01
01
00
00
10
10
10
10
00
01
10
11
10
00
10
10
00
00
11
10
11
10
11
00
01
00
00
11
10
00
01
10
11
11
11
00
01
10
11
01
01
01
10
10
10
00
00
01
10
10
10
01
01
10
11
11
00
10
00
01
10
10
00
00
00
00
01
10
11
01
10
11
00
11
10
11
00
00
10
10
10
00
01
10
00
00
11
11
00
00
00
10
10
00
10
10
00
01
00
01
01
01
00
10
10
00
10
10
00
00
11
10
10
10
10
10
01
11
10
10
01
00
11
11
00
10
00
10
01
10
10
00
01
00
10
10
00
10
11
10
00
00
01
10
00
00
00
11
00
00
01
01
10
10
10
00
01
10
10
00
01
10
10
10
00
10
11
01
11
00
00
00
00
01
10
10
00
00
11
11
11
00
11
10
10
10
00
11
11
00
00
10
01
10
01
00
00
11
01
01
00
01
11
00
01
00
10
11
10
01
00
10
10
11
00
10
11
00
00
10
10
01
00
10
11
00
01
00
00
10
10
11
00
10
00
00
11
10
11
11
00
01
01
01
01
11
10
10
10
00
10
00
00
11
10
01
01
10
10
01
10
10
00
00
01
10
10
10
01
00
00
11
11
10
01
10
10
01
00
10
11
00
00
10
10
00
00
11
10
11
00
11
00
01
11
00
10
01
10
00
10
10
10
10
10
10
10
00
00
10
10
10
00
10
11
01
00
11
01
00
10
00
00
01
10
10
10
00
00
00
10
00
10
10
11
11
01
00
10
01
10
01
01
10
01
10
10
11
10
00
00
00
00
11
10
10
11
10
00
11
10
11
10
11
10
01
10
00
00
11
00
00
11
10
10
00
00
11
10
00
10
00
10
10
00
11
11
01
01
00
00
00
00
00
01
11
11
11
01
00
10
10
10
01
01
00
10
10
10
11
10
10
00
01
10
00
01
11
00
10
10
11
00
00
00
00
00
11
00
00
10
00
01
11
11
10
00
11
01
11
00
10
11
11
00
01
00
10
11
10
11
00
00
10
01
01
00
01
10
01
11
00
11
11
00
00
10
10
01
10
11
01
01
11
11
01
00
10
10
00
00
10
10
00
00
10
11
11
01
10
01
00
10
10
00
10
10
00
00
11
00
00
01
11
10
01
10
00
01
00
10
10
10
01
00
11
11
00
00
11
00
10
10
00
00
10
00
10
01
01
01
10
00
00
00
10
00
00
11
10
10
11
11
11
11
11
01
00
10
10
00
01
10
11
10
11
11
10
00
10
01
11
10
00
10
10
10
00
00
01
01
01
10
11
00
10
10
01
10
10
00
10
00
11
11
00
00
10
00
00
10
10
00
10
00
10
10
00
10
01
00
10
10
00
10
11
11
10
00
11
10
10
01
00
00
10
00
01
01
11
00
11
11
00
10
10
01
00
00
10
10
01
00
11
01
00
11
00
00
00
00
10
10
11
00
01
11
10
01
10
00
01
00
11
01
00
10
10
11
00
01
10
01
11
11
11
10
11
10
11
10
00
00
00
10
11
00
00
00
10
10
00
00
10
00
10
10
01
00
10
00
00
10
00
00
10
10
00
10
00
10
10
01
10
01
00
00
01
01
11
00
10
11
01
00
11
10
11
01
01
10
01
00
10
10
00
10
10
00
00
00
00
10
01
00
01
00
00
10
00
00
11
00
11
00
00
01
00
00
10
11
00
10
00
11
10
00
01
00
11
01
11
00
01
10
00
00
01
10
10
11
00
01
00
10
00
00
11
01
01
01
01
11
11
11
00
00
10
10
01
00
10
10
00
00
00
10
11
10
00
10
10
11
00
10
00
10
10
01
10
10
11
00
00
00
10
10
01
00
00
10
11
10
01
01
11
01
01
00
01
00
00
00
10
10
00
00
10
00
00
10
00
11
11
11
00
00
10
10
00
00
11
00
00
10
10
00
00
10
10
00
11
10
00
01
00
10
00
01
00
01
10
10
00
00
11
00
01
10
11
00
00
11
10
11
00
00
10
10
01
00
00
10
00
00
11
11
01
01
10
11
10
10
01
00
11
10
00
10
10
10
10
10
01
01
10
00
00
00
00
01
11
00
10
01
01
01
00
10
10
00
10
00
01
10
10
10
11
10
00
11
01
01
10
00
00
10
11
10
00
11
00
00
10
00
11
10
10
00
01
11
00
01
01
00
10
10
10
00
10
10
00
10
00
00
01
00
01
00
00
10
00
10
00
01
01
10
00
11
11
11
01
00
00
00
00
10
11
00
00
10
10
00
01
01
10
01
00
10
10
00
10
10
00
01
00
10
00
01
00
01
10
00
00
11
00
11
00
10
10
10
10
01
00
10
01
01
11
00
00
00
00
00
11
10
00
10
10
11
01
11
01
01
10
00
01
10
10
00
11
10
10
00
10
01
00
00
01
00
10
01
01
10
01
00
01
00
00
10
11
00
01
11
11
11
10
10
10
01
00
10
11
01
11
01
11
01
11
00
00
11
00
01
10
00
01
01
10
11
00
00
10
00
01
00
10
11
11
11
00
00
10
10
10
01
01
11
00
00
11
11
01
01
11
10
00
10
10
00
11
10
01
11
00
10
00
00
00
01
11
11
11
00
10
11
10
11
01
00
10
10
00
00
00
11
00
00
00
10
10
10
10
00
00
01
11
00
00
00
10
10
01
00
11
00
01
10
11
11
01
00
10
00
00
11
11
10
01
01
10
10
10
00
10
10
10
00
00
10
01
11
11
11
00
11
01
01
01
10
11
00
01
01
10
10
00
00
11
10
00
00
11
11
11
10
10
01
00
10
00
10
01
11
00
00
00
10
10
00
00
10
10
11
10
10
00
00
10
00
10
10
10
11
10
10
10
11
11
11
01
01
10
01
11
10
00
00
10
00
01
10
11
00
11
01
00
11
00
01
11
10
01
10
10
11
10
01
00
10
11
00
00
01
00
00
10
10
10
10
10
10
00
00
10
10
10
01
00
01
11
00
11
10
00
00
10
10
10
10
00
00
11
01
00
01
10
10
10
00
11
01
01
10
01
10
00
00
10
00
00
10
11
10
00
10
10
00
11
11
00
01
00
10
00
10
10
01
01
10
10
00
00
01
00
10
11
10
00
11
10
00
10
10
10
11
00
11
11
10
01
10
11
11
01
01
01
00
11
00
10
10
00
00
01
11
10
00
00
10
10
10
00
01
00
11
00
10
11
00
00
00
01
10
11
10
01
00
10
01
00
11
11
10
01
11
00
11
00
01
10
11
00
00
10
11
00
11
00
01
11
10
10
01
10
10
00
00
00
00
00
00
10
11
00
01
10
00
11
00
00
10
11
00
10
00
00
10
00
00
00
00
10
00
01
01
11
10
11
00
10
10
01
00
00
11
10
10
11
01
00
00
11
10
10
10
11
10
11
01
01
00
10
00
00
11
11
11
00
00
10
10
01
00
10
11
00
00
00
00
10
00
00
00
01
00
10
00
00
11
11
00
01
11
11
00
01
11
01
00
10
10
10
00
01
10
00
10
00
11
00
01
10
00
10
11
01
01
11
10
11
10
00
00
10
11
00
01
10
10
01
10
10
00
11
11
00
00
10
01
10
00
10
11
11
01
00
01
10
11
11
00
01
11
00
00
00
01
10
01
01
10
01
01
01
11
11
00
01
00
00
10
10
00
00
00
11
10
11
11
11
00
11
00
11
01
11
01
01
10
10
00
00
10
11
00
00
10
00
10
10
10
00
11
10
01
10
00
11
01
10
10
11
01
00
11
00
11
10
10
10
00
10
11
00
01
10
01
11
10
10
10
10
01
10
11
00
00
00
00
10
10
10
01
10
01
10
01
01
11
10
10
11
00
10
10
01
01
10
10
11
00
10
00
00
11
10
00
00
10
00
00
00
10
11
11
01
11
10
00
11
10
11
11
00
00
00
00
11
10
00
00
00
11
00
00
10
01
11
00
10
01
00
11
00
11
10
00
01
01
10
10
00
00
10
00
10
10
01
01
00
10
10
00
00
00
00
10
00
00
10
11
00
00
10
01
11
11
11
00
01
11
00
10
10
01
01
00
00
00
11
10
01
10
11
10
00
00
10
10
10
01
11
00
00
00
01
11
11
11
00
10
10
00
01
10
10
00
00
00
10
01
10
01
11
10
00
10
11
00
00
10
10
11
00
10
01
00
10
10
10
00
00
01
11
11
11
11
10
01
00
10
00
00
01
00
00
10
10
01
00
10
10
10
11
10
00
10
01
10
00
01
11
00
00
10
00
00
00
10
10
10
00
00
00
11
10
00
10
11
00
01
00
10
10
10
00
00
10
00
00
11
00
00
10
00
00
10
00
01
11
11
11
00
10
11
10
10
01
01
10
10
00
10
00
10
00
00
00
10
10
11
11
10
10
11
10
01
10
10
00
01
10
10
01
00
00
10
10
10
00
01
00
10
11
10
10
00
11
00
00
10
01
00
00
10
00
00
10
01
11
10
01
00
00
10
10
01
10
00
00
00
10
10
01
10
10
00
11
11
11
01
00
00
10
10
11
00
01
10
01
00
01
10
11
11
10
11
00
00
10
00
01
11
10
10
00
01
00
00
11
01
00
10
10
11
00
00
10
00
11
11
00
00
10
10
00
11
10
10
11
11
00
00
00
01
10
00
00
01
10
11
01
01
10
11
11
11
00
00
00
11
10
01
00
11
10
00
00
10
00
00
00
00
10
01
11
10
10
11
00
10
00
00
01
10
01
01
10
00
11
00
10
00
11
00
01
00
00
11
10
10
11
01
01
01
01
00
11
10
10
10
11
10
00
00
00
10
11
10
01
01
11
10
10
10
11
10
00
01
00
00
11
10
10
01
10
00
00
10
01
10
10
01
00
00
00
00
00
00
01
10
01
10
00
10
00
00
10
10
01
01
11
11
00
00
01
01
10
00
11
11
01
01
00
10
01
01
00
00
10
10
00
11
10
11
10
11
00
11
00
11
00
01
10
10
00
10
11
00
10
01
00
10
00
00
00
10
01
10
10
01
11
11
00
01
11
01
11
10
01
00
11
00
10
10
01
00
10
10
00
00
01
10
11
10
00
01
00
10
11
00
11
00
01
11
01
10
00
00
11
00
00
11
11
00
10
11
10
10
11
01
00
10
10
00
00
00
11
10
00
10
10
11
10
00
11
10
01
11
11
00
10
00
00
10
01
00
11
11
01
11
00
00
11
11
10
11
01
00
10
11
00
11
00
00
10
00
00
10
10
01
01
00
01
10
00
11
01
11
00
11
11
00
10
01
01
11
11
01
11
11
10
10
00
00
00
10
00
01
00
10
10
01
11
00
00
11
10
00
00
00
00
11
00
01
00
11
01
00
11
10
00
00
00
11
10
10
10
10
00
10
00
00
10
11
11
10
10
10
00
00
11
01
10
00
01
10
10
00
10
10
00
00
00
10
10
00
10
11
00
11
10
01
00
01
11
00
01
00
10
10
01
00
11
00
00
11
00
00
11
01
00
00
10
10
10
10
01
10
10
00
10
10
11
00
00
01
00
00
00
00
11
11
00
11
10
00
00
11
01
11
00
00
11
10
10
00
01
10
10
01
10
10
01
10
10
01
11
00
01
11
00
00
10
10
10
01
01
01
11
00
01
11
10
10
00
00
10
10
00
00
10
10
01
00
00
01
00
11
10
00
11
00
01
10
10
00
10
01
10
00
00
01
10
00
00
00
00
10
10
10
10
00
00
11
11
00
10
00
10
10
00
01
00
01
01
00
11
10
10
00
00
11
10
11
00
11
01
10
11
00
10
10
10
00
01
00
10
00
10
10
10
10
01
10
01
10
10
11
10
00
01
11
11
00
01
00
10
10
10
10
00
00
11
11
01
00
01
10
01
10
00
00
10
00
11
00
10
10
10
10
01
01
00
10
00
10
10
11
00
01
00
10
00
11
00
10
10
00
10
00
00
10
10
11
00
10
00
00
10
11
01
00
10
10
10
11
10
01
00
00
00
00
10
00
00
10
10
10
10
01
01
10
11
10
01
10
10
01
10
00
00
00
11
11
00
00
01
11
10
10
00
11
11
01
00
00
00
00
00
10
11
00
10
00
01
10
10
00
11
11
11
10
01
00
10
01
00
01
10
00
00
10
10
10
00
01
01
00
10
10
00
00
10
11
10
10
10
00
10
00
00
10
00
10
10
01
10
11
11
01
00
00
01
11
00
10
11
00
11
11
00
00
10
00
01
10
11
00
00
11
11
11
00
10
00
00
10
10
10
01
00
11
10
11
00
10
00
10
01
00
10
10
00
00
01
10
01
10
11
00
00
00
10
10
00
11
10
00
10
11
10
01
10
10
00
00
11
01
10
00
01
11
10
11
10
00
10
00
00
10
00
00
11
10
10
00
10
11
10
00
01
11
10
00
00
10
01
10
11
00
01
01
11
01
01
11
11
10
00
00
01
11
10
00
00
01
10
01
10
00
01
10
11
01
01
10
01
10
00
00
10
00
11
11
01
01
10
10
10
10
01
11
10
00
10
10
10
10
10
00
00
00
00
00
00
00
00
11
10
10
01
00
00
10
10
01
11
01
00
11
00
10
10
01
00
11
11
00
01
01
10
00
01
10
10
11
01
10
10
10
11
00
10
11
10
10
10
11
01
01
00
01
00
01
00
10
11
11
01
00
01
10
00
01
00
00
10
01
00
01
01
10
00
00
10
11
00
01
10
10
11
10
10
00
10
10
01
01
10
00
10
10
10
00
00
10
11
01
00
10
10
00
10
10
00
00
11
00
00
00
01
10
11
00
10
10
10
10
00
10
00
00
01
00
10
00
00
00
10
00
10
10
10
10
01
01
11
01
11
00
01
00
10
10
00
01
10
10
01
01
10
11
01
00
11
00
00
11
10
00
10
01
00
00
11
10
00
11
00
00
10
11
00
00
00
00
11
10
00
10
10
00
00
00
10
00
10
10
10
11
00
11
11
01
00
01
00
10
00
01
01
10
11
10
10
10
11
10
00
00
10
01
01
11
10
00
10
10
11
01
00
00
10
10
11
10
11
00
01
10
11
00
00
11
11
00
10
00
10
00
11
00
10
01
10
10
00
00
00
00
11
00
00
10
00
11
01
00
10
00
01
11
10
10
01
00
01
00
01
01
10
10
00
00
10
00
01
00
11
01
10
01
00
11
10
00
00
11
01
00
11
11
11
01
00
10
10
01
10
01
01
11
00
10
11
01
00
01
00
00
11
11
11
11
10
11
01
00
01
00
11
01
10
10
01
00
10
00
00
11
01
11
11
01
01
10
10
00
00
11
00
11
10
01
10
01
00
10
11
01
00
10
10
00
00
00
00
10
01
10
01
10
10
01
10
10
00
00
10
01
11
00
11
10
01
10
10
01
00
11
11
10
00
00
10
10
01
10
11
10
00
10
01
11
10
01
00
00
10
11
10
00
00
11
10
00
10
10
01
11
10
00
10
11
01
10
01
10
11
10
01
01
11
10
00
00
00
00
10
00
01
00
10
10
10
00
00
00
00
01
11
11
10
10
00
01
01
10
10
00
00
10
10
00
10
00
00
10
10
01
01
01
00
10
10
00
00
01
00
10
11
00
10
11
10
00
00
10
01
10
10
11
01
10
00
00
00
10
00
10
10
01
01
00
11
01
01
00
10
10
00
01
10
10
00
01
00
01
10
10
10
01
10
11
10
00
01
11
11
10
10
01
00
10
01
00
10
01
00
10
10
00
01
10
10
00
10
11
00
01
10
01
10
01
10
10
01
00
10
10
00
10
10
10
10
10
01
01
10
00
11
00
11
10
10
01
00
10
00
01
10
00
10
00
01
10
10
10
00
10
11
01
11
01
01
00
10
11
10
01
01
10
11
00
11
01
00
10
00
01
10
11
00
00
10
01
00
10
01
00
00
10
10
11
10
11
00
11
10
10
11
00
11
00
00
11
00
11
00
00
10
10
00
10
10
01
11
00
11
11
10
00
11
00
10
11
00
00
00
00
10
10
00
10
01
00
11
10
00
10
11
00
10
10
00
01
11
11
00
10
10
00
00
00
10
00
00
10
01
00
01
00
10
10
10
00
11
10
00
10
10
00
11
00
00
10
00
10
00
01
10
00
00
11
11
00
11
01
10
10
11
10
10
10
00
10
00
10
01
00
11
11
10
00
11
00
11
10
00
10
10
11
00
00
00
00
10
00
01
11
10
11
10
10
10
00
00
10
00
01
00
10
00
00
00
00
01
11
10
00
10
01
00
00
11
01
00
00
10
01
10
00
10
11
10
10
00
10
10
10
01
10
01
00
10
10
00
00
10
10
01
00
10
01
00
00
00
11
00
11
11
10
01
00
10
01
00
10
10
10
00
00
10
00
10
11
10
11
00
01
10
11
10
01
00
10
10
10
01
00
00
10
10
10
10
00
00
11
11
10
10
00
00
10
10
10
10
10
01
10
10
00
10
10
01
00
00
01
00
11
00
11
00
01
10
11
10
01
10
10
00
01
01
10
01
01
00
10
01
11
10
10
00
01
01
11
11
10
00
01
10
01
00
11
10
11
10
11
01
00
01
10
00
00
10
11
00
10
10
00
10
10
01
00
00
00
11
00
00
10
00
01
00
01
01
11
11
00
10
11
10
11
00
01
11
10
00
00
10
11
01
00
00
11
10
00
01
10
00
00
10
10
10
00
10
00
00
10
10
10
10
11
00
10
01
00
00
10
01
11
00
00
11
00
11
10
00
01
00
10
00
10
10
11
10
11
00
00
00
10
10
01
11
10
11
01
01
01
10
10
10
11
10
10
00
10
00
00
11
00
10
10
01
11
10
01
10
11
01
00
10
10
00
00
00
11
10
00
00
00
10
00
00
11
10
10
10
01
01
01
11
10
10
00
00
00
00
00
11
10
01
01
01
01
10
01
00
00
10
10
01
00
11
10
01
00
01
00
11
11
10
11
01
00
10
10
00
00
00
10
10
10
00
00
00
10
10
10
00
10
10
00
00
10
01
11
10
00
00
01
01
00
11
11
00
10
10
10
10
00
01
11
01
01
00
01
00
00
10
10
10
01
01
11
11
10
00
00
00
00
10
11
00
10
10
00
01
11
10
10
10
10
00
00
00
10
10
01
10
11
10
10
01
10
10
00
00
01
10
00
11
01
00
10
10
00
01
11
10
01
10
00
11
10
11
10
10
10
10
01
10
01
01
10
10
10
00
10
00
11
01
01
01
10
00
10
00
00
01
10
10
11
11
10
10
00
10
00
10
10
00
10
00
00
00
01
00
01
11
11
11
11
10
00
10
10
01
00
10
11
10
11
00
00
10
10
01
00
00
11
01
00
10
11
00
01
11
11
10
00
00
10
10
00
11
11
00
11
10
00
01
00
11
11
00
00
10
00
01
10
10
10
11
00
10
10
00
00
00
11
00
01
01
00
10
00
11
10
10
00
00
10
11
00
11
00
00
11
00
11
10
11
00
11
00
00
00
10
00
10
00
00
00
10
11
01
11
10
01
00
01
01
00
11
00
01
10
00
00
10
00
01
11
11
11
00
00
10
11
00
01
10
10
01
00
01
00
00
01
11
10
00
10
10
00
11
01
10
10
10
10
00
00
10
10
11
00
10
10
10
11
00
10
10
01
11
00
10
10
01
11
00
01
11
00
00
00
10
10
00
10
10
00
01
11
10
00
10
00
00
01
00
00
01
11
11
00
10
11
01
01
10
11
01
10
01
01
11
10
10
00
01
11
11
10
01
10
01
10
10
00
00
10
10
00
11
00
10
10
00
10
00
10
11
10
00
11
10
00
00
10
10
10
10
01
11
11
10
00
00
11
10
00
00
11
11
10
01
00
11
01
00
01
10
10
01
01
01
11
01
00
10
00
01
00
10
10
00
01
01
10
10
01
00
00
11
00
00
10
11
10
00
00
10
10
00
00
10
01
10
00
00
11
10
00
00
11
00
00
00
10
11
00
01
10
10
00
01
11
01
00
01
00
11
11
10
11
11
00
01
10
10
00
10
00
10
11
00
01
00
10
11
10
00
01
00
10
11
00
00
01
00
01
10
10
00
10
10
10
11
00
00
10
00
10
10
10
10
01
01
00
10
11
01
00
11
10
01
00
00
11
00
00
10
11
01
00
10
10
10
00
00
11
00
10
01
00
11
10
01
10
10
00
01
01
10
10
11
00
01
01
00
11
10
00
00
10
10
00
00
10
11
00
00
00
10
01
01
10
00
10
10
00
01
10
10
01
10
00
01
10
11
10
00
00
00
01
10
10
01
01
10
11
00
10
10
01
00
10
00
00
10
11
00
01
11
11
01
00
00
11
10
11
10
01
01
10
01
10
01
00
10
10
10
11
00
10
10
10
10
10
10
00
00
10
10
00
01
00
01
01
10
00
00
01
10
11
00
11
10
10
00
10
01
00
10
10
00
11
00
00
00
11
01
10
10
00
10
11
00
10
10
00
10
00
00
00
00
00
01
00
00
10
11
01
00
00
01
00
11
00
11
10
01
00
00
01
00
01
11
00
00
00
11
00
00
10
11
01
10
11
01
01
10
00
10
11
10
10
01
00
10
10
00
01
10
00
10
01
10
00
00
10
11
00
10
00
10
01
11
00
10
01
00
00
10
00
10
10
00
11
00
00
01
01
00
00
10
00
00
10
10
00
00
00
01
00
10
01
01
10
10
10
10
00
00
10
11
00
00
00
01
10
00
00
01
01
10
10
01
00
01
10
11
00
00
11
10
10
01
00
11
01
11
00
11
10
10
01
10
00
10
11
00
00
10
00
00
10
00
00
10
01
10
11
01
01
11
10
10
00
00
10
10
00
00
00
11
11
00
11
10
10
00
00
01
00
00
00
10
11
01
10
10
00
00
00
10
00
10
10
11
10
00
10
10
01
00
10
10
00
10
10
00
01
10
11
11
00
10
01
11
10
00
00
01
10
00
10
10
01
00
10
10
11
00
10
10
11
00
00
00
00
11
11
11
00
10
00
11
10
10
01
00
10
11
00
01
11
00
10
10
10
01
00
11
11
10
10
00
11
01
01
11
10
01
10
11
00
11
00
00
00
10
10
00
00
11
00
00
10
01
11
00
01
00
00
10
11
10
10
11
01
00
10
10
11
00
10
00
01
00
11
00
10
11
11
11
00
00
00
00
00
11
10
01
01
11
00
10
10
00
01
01
00
11
11
00
01
10
00
00
11
00
11
10
10
10
00
00
10
10
01
01
11
00
10
00
01
11
01
10
10
00
10
00
01
00
10
11
00
01
11
01
00
00
00
10
10
01
00
10
00
11
01
01
01
10
10
00
01
10
10
00
00
10
10
00
00
00
11
10
01
10
10
10
01
10
01
00
11
01
10
00
11
10
01
10
11
10
00
11
01
00
10
11
01
00
01
10
00
10
01
00
10
01
01
01
01
01
00
00
10
01
11
10
01
00
11
00
10
10
00
10
11
10
11
10
00
00
01
00
10
10
00
00
10
00
10
10
01
00
00
00
11
10
00
00
00
10
01
00
10
00
00
10
00
10
01
00
11
01
00
00
10
00
10
10
00
10
00
00
10
10
11
11
10
10
11
01
11
01
00
10
00
00
00
00
10
01
10
10
00
01
10
10
10
00
10
10
01
11
00
00
01
10
10
10
10
00
00
00
10
01
00
10
10
11
11
10
01
00
01
00
01
00
00
01
10
10
00
01
01
11
10
11
00
01
10
10
01
00
10
00
10
10
00
01
11
10
01
00
11
10
00
01
00
10
10
10
00
01
10
10
00
01
00
11
10
00
10
10
11
10
11
01
10
11
10
10
10
01
00
00
11
11
00
01
10
01
10
01
10
00
00
11
00
00
00
10
11
00
00
01
10
10
11
00
11
00
11
10
01
00
11
10
00
01
10
10
01
00
01
10
00
10
11
01
01
01
10
10
00
01
01
10
10
00
00
10
01
00
11
00
01
00
10
00
00
10
10
01
10
10
11
01
01
01
00
10
10
10
00
01
11
10
11
00
10
10
00
01
11
11
00
01
11
10
01
01
10
10
10
01
10
10
10
00
00
10
00
00
01
01
10
10
10
00
11
00
00
10
11
11
11
11
10
10
00
11
00
00
10
10
10
11
00
01
10
01
00
11
10
10
00
00
10
10
11
01
00
10
11
01
00
11
10
00
01
10
11
00
01
00
00
11
01
10
10
01
10
10
10
00
00
01
00
10
10
00
00
00
10
11
00
00
01
00
10
00
11
11
10
00
00
00
10
01
10
10
00
00
11
01
10
00
01
00
10
10
01
11
00
10
00
00
00
00
11
10
10
00
11
01
11
01
00
10
11
10
01
01
10
10
00
01
00
00
10
10
10
00
00
01
01
10
00
00
00
10
10
00
10
00
00
10
00
00
10
00
00
01
11
10
10
01
00
10
00
10
01
00
10
10
10
00
00
00
00
10
11
10
01
11
10
00
01
10
01
01
10
11
00
00
11
00
00
10
00
10
01
00
01
11
00
01
11
10
00
11
10
11
10
00
00
10
11
00
00
10
10
00
10
10
00
10
10
01
10
10
00
10
01
10
01
10
10
10
00
00
10
10
00
11
10
01
10
00
00
00
01
10
10
01
10
01
00
10
00
10
00
00
00
01
01
10
11
01
10
00
01
10
11
00
11
10
01
10
10
00
01
11
10
00
00
10
10
10
10
11
00
00
11
11
00
01
10
00
00
11
11
00
10
01
10
11
10
00
10
10
00
10
00
10
10
01
01
00
00
10
11
11
00
10
01
00
01
10
10
00
01
10
01
11
00
00
10
01
11
10
10
00
11
00
11
11
01
11
01
00
00
00
10
00
10
10
00
11
10
01
01
00
10
11
01
11
01
10
11
00
11
00
00
10
11
01
01
00
11
00
10
01
10
10
00
01
11
00
10
01
00
11
00
00
10
01
01
00
00
10
00
00
10
10
10
01
01
00
10
11
00
00
01
00
11
11
10
11
01
10
01
10
10
01
00
10
10
00
00
00
00
10
11
10
10
01
01
11
00
00
11
01
00
10
01
01
00
11
01
00
11
01
10
10
10
00
00
11
11
00
11
11
00
01
00
10
00
00
11
10
00
00
10
00
00
00
10
10
11
00
00
01
10
00
00
10
01
10
10
10
11
10
01
11
00
00
00
00
00
10
10
10
01
10
10
00
00
10
10
10
01
00
10
10
00
11
00
10
11
00
11
11
11
00
10
11
00
01
11
10
00
00
10
10
00
01
11
10
10
00
10
10
01
01
00
10
00
01
00
11
11
10
11
01
10
00
01
11
00
10
00
00
01
10
11
00
00
10
01
01
10
11
00
00
01
00
10
10
00
00
00
10
10
00
01
10
00
10
10
00
11
10
00
00
10
00
00
11
11
11
01
00
11
00
11
11
00
00
00
01
10
00
10
11
00
01
11
10
00
00
00
00
10
10
00
10
10
10
11
00
00
10
00
10
10
00
00
00
11
01
01
11
01
01
11
00
00
11
10
11
11
01
00
00
10
11
10
00
01
10
10
00
00
01
10
01
11
11
00
00
00
00
10
11
00
00
01
10
00
00
10
00
10
00
00
11
10
10
10
10
11
10
00
00
01
00
10
01
01
00
11
10
00
10
10
00
10
10
00
01
01
10
11
01
01
11
10
10
10
11
01
00
10
10
00
01
10
11
00
01
10
10
10
00
01
10
10
01
00
10
10
00
10
10
10
10
01
01
01
00
11
11
11
00
01
11
10
00
00
01
10
00
00
11
01
01
00
00
10
01
01
01
10
10
10
11
00
10
01
00
01
11
00
10
00
01
00
00
10
10
10
10
00
01
10
01
11
00
00
10
11
00
01
10
11
10
00
01
00
10
11
10
00
11
11
01
11
00
10
01
10
10
00
00
10
00
11
10
01
10
00
11
11
11
00
11
01
11
11
00
01
10
01
00
00
10
10
11
00
10
00
01
10
00
11
11
00
00
00
00
11
00
01
10
10
01
10
00
10
00
01
00
10
10
00
01
11
00
00
01
00
01
10
11
00
01
10
10
01
01
00
10
10
00
11
00
00
10
00
00
00
10
11
00
00
10
11
00
10
00
10
01
10
00
10
11
00
11
00
01
00
00
00
01
10
00
10
10
01
00
10
11
11
00
00
00
10
11
10
01
00
00
10
10
00
01
11
11
10
01
01
11
10
01
00
00
10
10
10
01
11
10
01
00
11
00
00
01
11
10
11
10
00
01
10
10
00
10
11
10
10
01
10
10
10
10
10
10
01
10
00
00
00
00
11
10
00
00
11
00
00
10
01
00
01
11
10
10
00
10
00
00
10
11
00
01
10
10
00
01
00
00
11
10
10
11
10
00
10
10
00
00
11
10
10
00
10
01
10
11
10
10
01
00
10
00
11
10
00
00
10
11
10
01
00
10
10
10
00
00
00
10
11
01
01
10
00
10
10
00
01
11
10
10
01
00
01
10
10
00
01
10
01
10
11
10
00
11
11
00
00
00
10
10
00
10
11
00
10
11
01
01
10
10
00
11
11
00
10
11
10
00
00
01
10
10
01
00
10
11
11
00
00
10
10
00
10
01
00
11
11
01
10
00
00
01
10
10
01
01
01
11
00
10
11
00
11
10
01
01
00
10
10
11
01
10
10
10
10
11
10
01
01
01
00
10
11
10
10
00
00
10
10
11
10
01
00
10
00
11
11
10
10
01
10
10
01
01
00
10
10
11
10
00
00
01
11
10
00
11
00
00
10
00
10
11
00
00
10
11
10
00
11
01
01
11
01
11
10
10
10
10
01
00
11
01
00
10
11
11
01
10
00
00
10
11
10
11
01
00
01
00
11
00
01
10
10
00
01
00
10
10
00
00
01
11
10
11
10
01
00
01
00
00
00
10
10
00
00
11
00
00
00
01
00
10
10
10
00
01
01
10
01
10
00
00
11
00
10
00
01
00
10
00
10
11
11
01
01
11
10
01
11
00
10
11
00
00
10
10
10
00
00
10
10
00
01
00
00
00
00
10
10
00
11
10
10
00
01
10
11
01
00
10
11
01
00
00
11
01
10
11
01
00
00
00
10
01
00
10
10
01
11
00
11
11
00
00
00
00
10
10
00
10
01
10
10
11
01
11
00
01
00
00
10
10
11
01
01
10
10
10
10
01
00
10
10
10
10
01
11
01
00
00
11
01
01
10
00
11
10
00
10
10
10
00
00
00
10
01
00
10
10
11
11
00
01
11
00
01
00
00
10
10
00
01
10
11
11
00
10
11
11
11
00
01
10
11
10
10
00
10
00
01
11
10
11
00
00
00
11
00
11
01
10
00
01
00
10
11
00
10
11
01
00
11
10
10
10
01
01
00
01
10
10
10
00
10
01
10
11
00
01
01
00
10
01
10
10
10
10
01
00
11
11
00
00
11
00
11
10
01
00
00
11
10
11
00
10
10
00
11
10
00
00
11
00
11
00
00
10
00
10
10
10
00
10
11
00
10
10
01
10
00
11
10
10
01
11
10
11
00
10
11
00
01
11
10
00
01
10
00
00
11
11
00
10
00
00
11
00
00
10
00
10
01
00
11
10
00
00
00
00
10
00
00
00
01
00
00
00
01
10
10
10
11
00
00
10
01
10
01
00
01
10
11
01
00
10
11
00
10
10
01
10
11
00
10
00
11
00
00
10
10
10
00
10
10
10
11
00
10
01
00
01
00
00
01
11
10
10
11
00
01
11
00
00
01
10
10
00
00
00
00
00
11
00
10
10
01
10
11
10
00
01
00
11
10
01
00
01
00
01
10
00
00
10
00
00
00
10
00
00
10
10
10
11
01
10
00
00
00
00
00
11
01
10
10
01
00
01
00
10
10
01
00
00
11
11
10
00
01
00
11
10
11
10
00
00
11
10
00
01
10
00
11
10
10
00
01
11
10
10
00
00
11
01
00
00
10
11
11
10
10
10
00
01
01
11
10
10
00
00
10
11
00
01
01
11
10
10
00
01
10
10
00
00
10
01
10
10
00
11
10
10
00
00
00
01
00
10
10
00
10
10
00
01
10
10
00
01
10
10
00
00
10
00
11
01
10
11
00
00
10
10
11
10
00
01
10
00
00
10
10
01
10
10
10
00
01
00
01
10
10
01
01
01
10
01
00
00
10
11
01
10
01
00
01
10
10
10
00
00
11
00
00
00
10
00
10
00
10
10
10
01
00
00
11
10
00
11
00
10
00
10
10
10
11
01
00
11
00
11
01
10
01
00
10
10
10
00
11
11
01
00
00
10
00
10
10
00
10
00
10
10
00
10
00
10
01
11
10
10
10
10
11
00
00
01
10
00
00
10
00
01
01
11
11
11
00
00
10
00
11
00
00
10
11
11
00
00
10
10
01
11
00
00
00
10
00
00
10
10
10
10
00
11
01
10
10
10
00
00
01
00
10
10
01
10
10
10
00
10
00
00
10
00
11
10
10
11
10
11
11
00
00
00
10
01
10
10
11
01
00
00
10
11
00
10
10
00
01
01
11
11
10
10
01
00
00
00
10
00
01
10
00
10
10
10
10
00
00
10
00
10
00
10
11
00
10
10
11
10
10
00
00
11
11
01
01
11
11
01
01
10
10
01
01
11
00
00
10
10
01
00
10
11
00
01
10
00
01
00
10
10
01
00
11
10
10
00
11
00
00
00
10
11
01
00
11
00
00
01
01
10
11
10
01
01
01
10
11
11
00
10
00
00
11
00
00
00
10
10
10
10
00
00
10
10
11
00
10
01
00
00
00
01
00
10
10
00
01
00
10
10
11
00
10
11
00
01
00
11
11
10
10
00
00
10
10
10
10
01
00
01
10
00
01
10
10
01
10
01
00
11
11
10
01
10
01
01
11
01
11
10
00
00
00
10
10
00
01
00
00
10
11
10
01
00
11
10
01
11
10
10
00
00
10
00
10
10
11
00
10
00
01
11
00
01
10
00
11
10
10
00
00
11
00
00
10
11
00
11
10
10
00
00
10
00
10
00
11
10
00
10
10
00
10
11
00
01
10
01
10
10
00
00
10
10
00
11
11
10
10
01
10
11
10
01
10
01
01
10
10
01
01
11
00
01
10
11
00
11
01
00
00
10
01
00
10
11
00
00
00
10
10
00
00
10
10
00
10
11
10
11
01
11
10
10
01
00
00
10
01
10
10
01
10
11
10
10
00
01
11
01
10
00
00
01
01
10
01
00
11
00
00
01
11
10
11
10
00
01
11
10
11
00
11
00
00
01
00
10
10
00
10
00
01
10
10
00
11
10
10
00
01
00
11
10
00
00
11
00
10
11
01
00
11
10
01
11
00
01
11
10
00
00
10
00
10
11
01
10
01
00
10
10
00
00
10
10
00
10
01
11
11
10
00
10
10
11
10
00
00
11
00
01
00
00
00
10
01
10
00
00
10
10
10
00
01
00
10
10
10
10
11
00
01
00
01
10
10
01
01
00
11
00
00
10
00
00
00
01
11
10
01
00
10
01
00
10
10
10
01
01
10
10
10
10
01
00
10
00
10
11
00
00
10
11
11
10
00
11
00
00
00
10
10
00
01
00
10
00
01
10
00
10
10
10
00
01
11
10
00
01
10
01
10
10
00
01
10
10
11
00
00
11
00
10
00
00
11
00
10
10
00
00
00
00
00
00
10
00
10
01
01
10
10
01
00
00
00
10
01
00
00
11
11
00
11
01
01
10
00
11
10
01
00
11
01
00
11
10
10
01
00
01
10
00
00
10
00
00
10
10
01
00
01
00
10
00
00
10
10
11
00
11
00
00
01
11
01
10
00
00
00
00
01
00
11
00
01
10
10
10
01
11
11
10
00
11
00
10
00
00
11
01
00
11
10
00
11
11
00
00
00
10
10
11
10
01
00
01
00
00
10
10
10
00
10
10
00
01
00
00
10
10
11
00
00
01
01
10
01
01
10
01
00
10
00
00
00
11
11
00
10
01
01
10
10
00
00
01
11
00
10
01
01
01
00
01
10
10
00
01
11
10
00
01
10
11
11
00
10
11
01
11
11
00
00
10
00
10
10
00
00
11
10
10
10
10
11
00
10
10
10
00
00
01
10
11
01
01
01
01
00
00
10
00
01
10
10
00
01
11
10
00
00
10
10
00
11
00
11
10
10
00
10
00
01
10
11
10
01
11
01
00
00
10
10
10
00
00
10
10
10
10
00
01
10
10
01
00
10
11
11
01
01
10
10
10
10
10
00
00
11
00
00
01
10
10
00
11
00
10
00
11
10
11
10
00
10
10
10
00
00
11
00
01
00
01
01
10
10
11
10
00
00
10
10
00
00
11
00
01
01
01
00
01
00
00
00
10
01
10
10
10
11
00
10
10
10
10
01
00
00
11
10
00
01
11
11
10
01
11
01
01
00
01
00
10
00
10
10
11
01
00
11
00
11
00
11
10
00
00
00
10
10
10
00
00
00
10
10
00
00
01
11
00
00
00
00
10
10
11
00
10
10
00
10
01
01
10
01
00
11
10
01
00
00
00
10
10
00
11
00
00
10
01
10
10
11
01
00
00
01
10
00
01
00
10
10
00
01
11
10
10
00
01
10
00
00
10
10
00
00
11
01
01
11
11
10
01
10
10
11
10
11
00
00
10
11
00
01
10
00
10
11
01
00
01
10
00
01
10
00
10
01
00
00
11
11
01
00
00
10
01
00
00
01
10
10
10
11
10
01
01
01
01
01
10
11
00
01
10
10
00
00
00
01
00
11
00
00
10
00
00
10
00
00
11
10
01
10
10
00
11
00
11
11
11
00
10
00
00
00
00
00
10
00
00
10
00
00
01
00
11
11
01
11
10
00
00
10
00
00
00
00
11
11
11
00
01
00
11
10
10
00
00
00
10
11
10
10
11
00
10
10
00
00
00
01
10
00
01
10
10
10
01
00
00
00
10
10
10
10
00
00
11
10
10
01
11
10
11
10
00
00
00
11
00
00
10
11
11
11
00
00
10
00
10
11
10
01
11
01
11
11
01
10
00
10
11
00
00
10
11
00
11
00
00
11
11
00
10
10
00
00
11
00
00
00
10
11
00
11
00
01
10
10
11
11
01
01
10
10
00
01
10
10
00
00
10
00
01
00
00
10
10
10
10
10
00
00
10
10
01
00
10
01
00
11
10
10
00
10
11
01
00
10
01
10
10
01
10
10
00
00
10
00
00
11
10
10
11
00
11
00
10
10
00
00
10
01
00
00
10
00
11
00
00
10
10
11
00
00
01
00
00
10
11
10
00
00
10
00
00
10
01
00
10
00
00
00
10
00
00
00
10
00
10
10
01
11
10
11
00
10
00
11
01
01
00
10
10
00
10
00
10
10
00
01
00
11
00
11
01
00
10
11
11
00
01
10
10
10
10
01
00
00
10
01
01
00
10
10
01
10
10
01
10
10
10
00
11
01
00
01
10
00
00
10
11
01
01
10
10
00
01
00
11
00
00
10
00
00
11
01
00
11
10
11
10
01
00
10
10
00
10
01
10
10
01
10
01
00
10
00
11
10
11
01
00
10
00
00
10
10
00
10
11
10
10
00
11
01
11
01
00
10
10
10
11
01
10
00
00
10
11
01
00
11
11
10
10
11
00
01
00
10
10
01
00
11
01
10
11
00
00
10
01
01
10
10
00
10
10
00
10
10
11
00
10
00
10
00
01
00
10
11
10
10
01
00
11
10
10
01
10
01
00
11
10
10
00
01
00
10
00
11
00
00
10
00
11
01
11
10
00
11
00
10
01
01
10
01
01
10
01
10
01
00
01
00
11
10
00
10
00
10
11
01
00
10
11
11
00
11
01
00
11
10
10
01
10
10
00
11
11
00
01
10
11
01
00
10
11
01
00
00
10
00
10
10
00
11
10
11
01
00
01
11
11
11
10
10
00
10
00
00
10
11
01
00
11
10
00
01
10
00
10
00
00
11
10
00
11
11
10
11
00
00
11
10
01
00
00
10
00
11
10
10
01
11
10
00
00
10
10
10
00
10
00
10
00
00
10
00
11
11
10
01
00
10
10
11
01
00
10
01
11
00
11
10
01
11
10
00
01
00
10
01
10
00
00
11
00
00
00
11
01
10
10
00
01
10
11
00
10
00
00
00
01
00
11
10
10
00
00
10
11
00
11
11
01
11
11
10
00
10
00
00
10
10
00
10
01
11
00
01
00
01
00
10
11
00
10
11
00
01
00
10
00
00
10
10
11
00
10
00
10
11
01
01
11
01
00
10
01
11
01
10
10
01
00
00
00
10
10
00
11
01
00
10
01
11
11
01
00
11
11
00
11
11
10
00
11
10
10
00
00
10
10
11
10
01
00
00
10
10
00
00
00
11
10
01
00
10
01
11
11
11
00
01
11
11
11
10
00
01
10
10
00
00
10
10
10
11
00
10
00
10
01
10
10
01
11
00
11
00
00
01
11
00
10
10
00
00
11
10
00
01
00
10
10
01
01
11
10
10
11
00
11
10
01
01
10
10
10
10
01
11
10
10
01
11
11
01
01
00
00
11
00
10
00
01
11
00
11
11
01
01
10
00
00
10
10
00
00
11
01
10
11
01
00
00
10
11
00
10
10
11
00
01
10
10
10
10
00
01
01
10
00
10
00
10
00
00
10
11
10
01
00
10
01
10
10
00
00
11
10
10
00
00
10
00
10
10
00
00
00
00
00
10
00
00
10
01
00
11
11
00
00
11
00
10
01
01
10
01
10
11
00
01
00
10
00
00
01
10
00
00
00
10
00
00
11
10
10
00
11
10
11
10
11
11
10
00
11
00
00
10
00
00
00
10
10
10
10
01
11
00
00
11
10
11
00
00
10
10
00
11
10
00
00
10
11
10
01
01
01
01
01
10
00
00
00
11
10
01
00
00
11
00
00
11
10
01
00
00
00
10
11
01
00
10
11
11
11
00
10
10
00
00
10
10
00
00
00
11
00
00
00
01
10
10
10
00
10
01
10
01
10
10
00
00
11
10
11
10
00
10
11
00
00
00
10
11
01
00
01
00
01
01
00
10
00
11
00
10
10
10
10
11
10
00
10
00
00
11
01
11
01
11
10
11
00
00
01
11
11
01
00
10
00
01
00
10
10
01
11
01
00
10
10
11
10
01
10
00
01
00
10
00
11
00
11
11
01
10
10
10
00
10
00
00
11
11
00
01
10
00
10
10
00
10
10
00
10
10
01
10
11
10
01
10
10
00
00
00
00
00
10
11
00
10
00
10
01
00
10
11
11
10
00
00
10
10
10
00
10
00
00
10
00
01
00
00
00
00
00
10
00
01
11
00
00
11
11
10
10
11
01
10
01
10
00
00
00
11
10
00
01
00
01
00
10
10
10
00
10
10
00
10
01
00
10
11
00
11
11
10
00
01
10
00
11
10
00
11
11
00
01
01
01
00
10
10
11
11
00
00
01
10
10
00
01
00
11
01
10
11
00
10
01
10
01
00
10
10
10
00
01
01
10
10
00
11
10
00
11
00
00
10
01
00
10
00
11
01
01
01
01
10
10
10
10
10
11
01
10
11
00
10
01
00
00
10
10
01
11
11
00
00
00
11
11
11
10
01
00
10
00
00
00
10
10
01
00
11
10
11
11
10
10
01
00
10
10
10
01
00
00
00
11
00
00
00
10
00
00
11
01
10
00
01
00
01
00
11
11
00
01
01
11
10
10
00
00
01
10
10
10
01
10
10
00
10
10
10
00
10
01
00
00
11
00
11
11
10
10
00
00
10
10
10
00
10
00
01
00
00
11
00
10
10
11
00
10
10
00
00
10
01
00
00
00
00
11
10
10
10
10
01
11
01
10
00
01
00
11
00
01
10
10
11
10
10
10
10
00
01
00
00
10
00
11
11
00
10
10
00
01
00
00
00
00
10
00
00
10
00
01
00
00
10
10
10
00
10
10
11
00
10
01
00
00
11
01
10
00
10
10
00
11
01
10
11
00
10
00
10
11
01
11
00
00
00
00
00
01
11
10
00
01
10
10
00
10
11
10
00
01
00
01
00
11
11
00
10
00
00
10
00
10
10
11
01
10
11
01
10
00
10
00
01
00
10
10
10
10
10
10
10
11
00
10
10
01
00
00
10
10
01
01
11
00
00
11
10
00
10
01
00
00
00
11
01
11
10
00
00
00
01
10
11
10
10
10
11
00
01
00
01
10
01
00
01
11
10
00
00
11
10
10
10
00
10
00
00
11
01
10
10
11
11
01
10
10
00
01
01
10
00
01
10
01
10
00
10
10
00
10
00
01
10
00
11
01
10
10
10
00
10
01
00
10
11
00
01
10
01
11
00
00
00
00
10
10
01
00
10
01
01
01
00
10
01
00
11
01
10
01
00
10
10
10
00
00
10
10
00
00
11
00
10
10
10
10
11
10
10
01
11
00
01
00
11
00
00
10
10
01
01
01
01
10
10
10
00
00
11
00
11
10
11
10
11
10
10
10
00
01
11
00
00
11
11
00
11
01
00
00
10
10
00
10
10
10
10
10
11
10
00
10
10
10
10
10
01
10
11
10
11
01
00
10
10
00
01
00
00
10
11
10
01
00
00
00
10
11
10
00
00
11
00
00
01
10
01
00
00
00
10
01
11
01
11
10
10
00
11
11
01
00
00
10
10
10
10
10
00
01
10
00
10
10
00
01
10
10
00
10
00
10
10
01
00
01
11
00
10
11
00
10
00
10
10
00
00
10
00
10
00
00
00
00
01
11
11
10
11
00
11
10
00
10
10
00
00
11
10
00
00
00
01
00
10
10
10
10
01
10
10
00
00
11
11
10
00
01
10
11
01
11
00
01
00
11
00
01
10
10
10
01
01
11
00
10
10
11
10
00
00
10
01
01
00
10
10
10
01
01
01
00
11
10
10
10
11
01
00
01
10
11
00
01
00
00
00
10
10
11
10
01
00
10
10
01
11
11
01
00
00
00
10
11
00
00
10
00
00
11
11
00
11
00
01
10
11
00
01
11
10
11
11
00
01
11
11
01
10
10
10
11
00
10
10
01
00
11
00
10
00
00
10
10
10
00
00
00
00
00
11
00
10
00
00
00
10
10
10
10
10
00
00
10
01
00
00
00
01
00
11
11
00
10
11
11
00
01
00
11
11
10
01
00
10
11
10
00
10
01
00
10
00
01
10
11
00
11
10
01
10
10
00
11
10
00
11
10
00
10
10
00
00
10
00
01
11
01
10
01
01
00
10
10
01
00
10
10
10
01
00
01
10
01
00
00
11
11
01
00
01
11
01
00
11
10
00
10
10
01
01
10
11
00
00
00
00
00
10
11
00
11
11
10
00
10
11
01
00
10
00
11
10
00
10
10
00
00
00
01
10
00
00
10
11
00
00
01
10
11
00
10
01
10
11
10
11
00
11
10
01
10
00
00
11
01
00
01
10
10
00
00
10
11
10
00
10
01
10
10
10
11
00
11
10
01
00
11
10
01
10
11
10
00
10
11
00
11
10
00
00
11
10
00
01
10
10
01
10
00
10
00
00
00
01
10
10
00
00
01
00
00
11
00
10
00
10
00
00
00
10
11
00
10
01
00
00
10
00
01
00
10
10
00
11
11
11
10
00
10
00
00
01
10
11
10
00
00
11
10
00
10
11
00
10
10
00
00
01
11
10
00
00
11
01
00
01
01
00
11
10
01
10
00
00
10
10
01
11
11
11
01
11
10
01
00
00
01
10
10
01
01
10
10
00
01
00
10
01
10
00
00
10
10
10
00
00
00
11
10
00
10
10
01
11
01
01
10
11
01
10
00
10
11
01
01
11
11
10
10
10
00
01
10
11
01
00
00
01
10
10
00
10
11
10
01
01
00
00
00
01
01
10
11
11
00
11
00
10
01
00
00
10
10
00
01
00
11
10
00
10
10
00
00
10
10
00
00
10
11
00
01
00
01
00
00
10
10
11
01
00
11
00
10
01
01
00
00
01
10
10
00
10
01
10
10
00
11
01
01
10
01
01
11
00
00
11
10
10
10
01
00
00
00
10
11
01
10
00
11
10
01
01
01
11
00
01
10
10
10
11
01
01
00
10
10
10
10
01
01
11
10
10
00
11
10
00
11
10
00
11
10
01
00
10
01
00
11
10
01
10
10
00
10
10
00
10
11
10
10
10
00
00
11
11
10
10
00
10
00
11
11
01
11
10
11
00
00
01
00
11
11
11
00
00
01
10
10
00
11
10
00
11
01
01
00
11
10
00
01
10
00
10
10
00
00
10
10
10
00
10
10
10
00
01
00
00
00
10
11
10
01
11
10
10
11
00
00
10
10
10
10
01
00
10
11
00
11
10
00
10
00
10
10
11
01
00
11
00
10
01
01
10
01
10
00
01
01
01
01
11
10
10
00
10
10
11
00
01
10
10
10
00
11
11
10
00
10
11
10
01
01
10
00
11
10
11
01
01
00
11
10
00
10
10
10
11
10
00
01
11
11
00
01
01
11
01
10
11
00
10
10
00
00
11
10
01
00
10
10
00
10
10
10
10
11
01
01
00
10
00
11
10
00
10
00
01
11
11
10
11
11
00
11
00
00
10
01
00
11
01
01
10
01
00
01
10
10
00
10
10
10
01
00
11
00
11
11
00
10
00
00
10
10
00
10
10
10
11
10
11
00
10
10
11
01
10
01
00
00
10
00
10
11
10
01
00
00
01
01
00
00
01
10
01
10
11
10
10
00
10
00
00
10
10
00
01
10
01
10
01
00
11
01
10
10
01
00
10
01
01
10
10
00
01
00
10
00
00
00
01
10
10
00
00
00
10
11
11
10
00
00
00
10
00
00
01
10
00
00
10
00
00
00
01
11
10
01
10
10
00
00
10
11
00
00
01
10
01
10
11
10
10
10
10
00
00
11
10
00
11
00
01
00
10
11
01
00
01
01
10
01
00
10
11
10
00
11
10
01
01
11
11
00
00
11
00
01
11
11
10
10
00
11
01
00
01
00
10
11
01
10
00
00
01
00
11
10
00
01
10
11
11
00
00
10
10
01
00
10
10
10
00
00
01
00
10
10
00
10
00
10
10
10
01
11
11
00
10
01
11
10
00
00
10
10
00
10
10
01
10
00
00
00
10
10
11
00
00
01
10
01
10
10
01
10
10
01
11
01
00
11
01
10
10
10
01
01
10
11
01
01
00
11
01
10
10
00
00
10
10
00
11
11
00
10
10
10
00
01
11
00
11
01
10
00
10
10
00
00
00
11
01
00
10
10
01
10
00
11
10
00
00
01
00
11
01
10
00
01
00
10
10
01
00
10
10
10
01
10
11
10
01
00
11
10
11
00
01
00
01
00
10
00
10
10
10
00
01
10
10
01
00
10
00
11
00
10
10
00
11
00
01
11
01
01
01
00
10
00
00
10
10
10
00
01
10
00
00
01
00
01
10
10
00
00
10
01
00
11
10
10
11
10
00
00
01
11
11
00
10
10
00
01
10
11
00
00
10
01
10
11
01
01
10
00
00
01
00
00
10
10
00
00
00
00
00
00
10
10
10
00
00
10
00
10
00
10
00
01
00
00
01
00
00
10
11
10
01
11
01
11
10
10
10
00
00
00
10
10
10
10
00
11
00
10
00
11
10
01
00
01
01
11
01
10
11
10
10
00
10
00
00
00
10
11
00
00
00
00
10
10
01
00
10
11
10
11
01
10
00
00
00
10
01
01
11
00
10
01
00
10
10
10
10
01
01
11
00
00
00
11
00
00
10
00
10
10
10
11
11
00
00
01
10
00
10
10
00
11
00
10
11
10
10
11
11
00
00
10
01
10
11
00
01
01
01
10
11
00
00
01
11
00
01
10
10
11
00
00
11
00
01
10
00
00
00
10
10
10
11
10
01
01
01
10
01
00
10
00
00
01
10
01
00
00
01
01
00
00
00
00
00
01
10
01
01
10
00
11
10
10
10
00
01
00
11
10
01
01
10
11
00
01
11
10
00
00
00
11
10
01
10
10
10
01
10
00
10
11
11
00
10
10
00
00
00
11
00
10
00
10
10
11
00
01
11
00
10
10
10
00
00
11
11
00
01
10
00
01
11
01
01
10
11
10
01
00
10
11
01
00
11
10
00
11
00
10
00
01
10
00
00
11
00
10
00
00
10
00
00
01
11
10
00
00
01
10
11
10
10
00
00
10
11
10
10
01
00
00
11
10
00
10
11
01
11
00
00
00
10
00
10
10
00
01
11
10
00
00
10
10
10
01
00
01
10
00
10
00
11
00
00
10
11
00
11
01
00
01
10
10
00
10
10
00
00
00
10
10
10
01
00
10
10
00
10
11
00
01
10
01
10
01
10
10
10
01
10
00
11
00
00
10
01
10
10
11
00
00
10
10
11
11
01
01
11
00
11
10
10
10
11
00
00
10
11
10
01
10
01
00
11
00
00
01
00
10
10
10
00
01
10
11
01
00
10
10
10
10
11
10
11
01
01
00
00
11
10
00
00
00
10
10
00
01
10
11
00
10
11
10
10
10
10
01
10
10
00
00
01
11
11
01
10
10
00
10
10
10
01
00
10
10
01
00
10
00
11
11
01
00
11
00
00
11
00
11
11
11
11
00
00
01
00
10
00
00
10
11
00
11
11
00
10
10
10
01
11
01
10
10
00
11
11
00
00
10
01
01
10
11
00
10
11
10
00
00
10
11
10
11
00
10
10
00
00
11
00
01
10
10
00
10
11
11
10
01
00
11
11
11
00
00
10
10
00
00
10
11
10
10
01
11
00
00
00
10
00
00
10
10
00
00
01
00
01
10
10
01
00
00
10
00
00
11
10
11
01
01
10
10
10
10
11
00
00
00
01
00
01
00
10
01
00
10
11
00
01
01
10
11
00
10
00
10
10
10
00
01
00
11
10
00
00
00
00
11
10
10
00
00
10
11
00
00
00
10
11
11
10
00
00
11
11
01
10
10
10
00
10
00
11
10
00
10
00
00
00
00
11
10
00
00
10
00
00
00
10
00
01
10
10
10
10
00
00
01
00
10
10
11
11
10
11
00
00
10
00
11
00
11
11
01
00
10
01
00
11
10
01
11
10
00
10
11
10
01
00
01
10
11
10
01
10
10
01
00
10
11
01
11
00
10
11
00
11
00
10
01
00
10
01
11
01
11
10
01
10
00
11
10
00
00
10
10
01
00
00
10
10
10
10
01
11
00
00
01
11
10
11
01
10
10
01
11
10
01
00
10
11
00
00
00
00
11
00
01
00
10
11
00
10
10
11
00
10
00
01
00
11
11
01
11
10
10
00
00
11
11
00
00
10
10
10
00
10
00
00
11
00
10
10
00
00
10
01
00
00
00
00
10
10
10
01
10
00
01
10
00
11
10
11
00
00
10
11
00
11
01
00
01
11
00
10
10
00
00
10
10
00
01
11
00
01
10
10
10
01
00
11
00
01
01
00
10
11
00
01
01
01
10
00
00
10
10
00
01
10
10
00
10
00
10
11
10
10
10
01
00
11
11
00
11
10
01
11
10
01
01
10
11
00
00
10
00
00
10
11
00
10
10
10
10
01
00
00
10
10
11
10
10
00
10
10
00
00
01
00
10
11
01
10
10
01
01
11
10
01
10
01
00
10
00
10
00
10
00
00
10
01
10
00
00
00
01
00
01
01
10
00
00
10
01
10
10
00
00
10
00
00
01
10
11
11
00
01
01
10
11
10
00
00
10
11
10
10
01
00
10
11
11
01
11
11
10
10
01
01
01
10
10
00
01
01
01
10
11
10
00
00
10
01
01
00
01
00
11
10
01
11
10
10
00
10
10
10
01
10
10
01
11
10
01
10
11
00
10
10
00
10
11
00
00
10
10
10
00
00
10
00
10
00
01
00
11
00
10
10
11
10
00
01
10
01
01
11
01
00
10
10
00
00
10
11
01
00
10
10
10
11
10
10
00
01
01
10
00
10
10
00
10
00
01
01
10
10
00
10
00
00
00
10
11
01
00
00
00
11
00
10
01
10
00
10
10
00
01
10
10
00
10
00
10
00
00
10
00
10
11
00
00
10
00
00
11
01
01
11
10
00
10
00
11
10
01
01
11
10
10
10
00
01
10
11
00
00
01
00
10
10
10
10
11
10
01
00
00
11
10
00
01
10
00
01
10
10
10
00
00
10
00
10
01
10
11
01
11
00
10
11
10
01
00
11
10
10
11
11
01
00
00
10
10
11
01
01
01
11
10
00
10
00
00
10
10
01
11
00
00
10
10
01
01
11
00
00
10
00
00
00
00
10
11
01
00
00
00
11
10
00
11
01
00
10
11
00
10
10
10
10
00
01
00
11
11
01
10
11
11
01
00
11
00
01
11
11
10
10
00
01
00
10
00
00
10
11
11
01
11
11
11
00
01
10
01
10
11
01
00
11
01
10
10
00
10
10
01
00
10
01
00
01
10
01
01
01
00
11
00
01
10
00
11
10
00
10
10
00
00
00
00
00
01
10
10
01
00
10
01
00
10
10
10
00
00
00
10
00
01
01
01
00
01
11
00
01
00
10
10
10
10
00
00
11
00
10
00
10
01
10
10
10
10
01
10
00
00
00
10
10
10
10
01
00
00
00
00
11
01
00
10
00
01
10
00
10
11
00
10
00
10
00
01
00
00
10
10
10
11
00
11
10
10
00
11
11
11
01
00
10
01
00
10
10
01
01
11
10
10
01
10
01
10
10
00
00
00
00
00
11
00
01
00
10
01
01
11
00
00
00
11
00
11
10
01
00
10
10
10
00
00
00
10
00
10
00
01
10
10
01
00
01
00
10
10
10
10
00
10
11
01
10
10
01
01
00
01
10
11
10
00
00
10
00
01
00
00
11
11
01
00
10
10
00
10
01
00
10
10
10
00
00
00
11
11
00
10
00
00
10
00
00
11
00
00
11
00
10
00
00
10
10
10
11
10
01
00
10
00
10
11
01
10
10
00
11
11
10
00
00
00
11
10
10
10
00
11
01
11
00
10
10
10
11
10
00
01
10
11
11
00
01
00
11
10
00
10
10
10
10
00
01
01
11
10
10
00
01
00
01
10
10
00
00
11
00
10
11
01
00
10
01
10
11
11
01
00
10
11
00
00
10
10
10
00
00
01
11
11
01
01
01
10
00
00
10
11
11
10
10
00
01
00
01
11
00
10
00
01
10
10
11
10
01
00
11
00
01
11
11
00
10
10
11
00
00
00
11
10
00
01
11
10
00
00
00
00
10
10
10
11
01
11
01
10
00
00
10
00
00
01
10
11
11
00
00
10
10
00
00
10
10
01
01
01
10
11
00
10
11
11
00
00
11
11
00
00
00
01
00
10
10
10
01
00
10
00
10
00
00
00
11
10
01
01
10
10
10
10
01
00
10
10
10
11
10
00
00
11
01
01
10
11
01
00
10
00
11
00
10
10
00
11
11
10
01
01
00
10
00
11
10
10
01
00
00
00
10
11
11
11
00
00
10
10
00
10
00
00
10
10
10
00
10
01
00
01
01
11
10
00
00
10
00
01
10
00
11
00
11
10
00
01
01
10
11
10
00
10
00
00
00
10
10
00
00
00
00
10
00
01
11
10
01
11
00
01
10
10
11
10
01
10
10
00
11
00
11
01
00
01
00
11
01
00
10
10
10
11
00
10
00
00
00
10
00
00
10
00
11
00
10
10
11
10
01
11
00
11
10
10
00
01
10
10
00
01
00
01
00
10
11
10
10
10
00
00
11
10
11
10
01
00
11
10
11
00
01
10
01
10
11
00
10
00
01
11
00
10
10
00
00
00
10
10
11
10
01
10
01
01
01
10
11
10
00
00
10
10
00
01
11
00
11
10
00
00
10
10
11
00
00
11
10
01
10
00
01
00
10
11
01
10
10
10
01
00
11
10
10
00
10
10
01
00
11
11
01
01
00
01
00
10
10
10
00
00
00
11
10
00
11
00
00
10
00
10
11
11
00
00
11
01
11
00
11
00
10
00
00
11
11
00
01
11
10
11
00
01
10
10
01
01
10
10
10
00
00
10
01
00
10
00
10
10
01
00
01
10
00
10
00
10
10
11
10
00
10
00
00
10
00
01
10
11
00
01
00
10
11
00
10
10
10
00
00
10
10
11
01
00
00
01
10
00
00
00
10
00
00
00
00
11
10
00
01
00
01
10
01
10
10
00
10
11
00
01
00
11
00
00
10
00
00
10
00
00
10
10
11
00
11
11
10
01
01
00
11
10
00
00
11
10
11
01
00
01
11
11
11
10
01
01
10
00
10
11
00
00
11
10
00
00
10
10
00
01
01
00
11
00
01
10
10
11
00
00
00
00
10
10
00
00
01
10
11
11
10
11
00
00
01
01
10
10
00
00
00
10
11
01
00
00
11
01
01
00
11
00
10
01
00
10
10
00
01
10
11
00
10
00
10
01
00
00
11
00
01
00
01
00
00
10
10
10
00
10
11
10
01
01
10
00
01
01
10
10
00
01
00
10
10
10
11
10
00
10
00
00
01
00
01
01
10
00
10
00
10
00
01
11
11
00
00
01
01
01
10
10
01
00
00
11
10
00
00
11
00
11
10
01
10
10
10
00
01
11
00
01
11
11
01
00
00
10
01
10
00
00
10
10
11
00
01
11
10
01
01
10
10
01
00
11
00
01
11
11
10
11
00
11
01
00
10
10
10
00
00
10
01
00
10
10
01
10
01
10
00
11
10
00
00
10
10
11
00
00
00
10
00
01
10
11
00
01
11
01
00
10
00
00
01
10
11
00
11
00
10
11
01
10
10
00
00
10
11
00
00
11
10
00
11
10
01
00
01
11
10
01
10
10
10
01
01
01
10
11
10
01
10
00
00
10
10
00
11
10
10
11
01
10
11
01
01
01
00
10
11
01
01
01
11
10
00
01
11
11
10
00
00
10
10
10
10
00
00
10
01
00
11
00
01
10
11
10
01
10
10
00
00
00
10
10
00
11
10
10
10
01
00
01
00
10
10
00
11
10
00
10
00
00
11
01
00
10
00
00
10
01
10
10
00
10
00
00
10
10
11
00
11
01
10
00
10
10
10
10
01
00
11
10
10
00
10
11
00
00
11
01
00
01
00
10
00
10
00
10
00
01
00
10
11
00
00
10
10
00
10
10
00
00
00
00
11
11
10
10
00
00
01
11
10
00
00
10
11
11
00
10
01
01
00
01
10
00
10
11
00
01
00
11
00
00
10
00
10
10
11
01
01
00
10
00
00
10
10
01
00
00
10
01
01
00
10
10
10
00
10
00
00
00
10
10
10
10
10
00
00
00
01
00
11
11
10
11
00
10
00
11
11
10
01
00
11
01
00
00
00
10
00
01
10
11
10
01
10
10
10
00
01
10
00
01
11
00
01
00
10
10
00
01
01
11
10
00
10
11
10
00
10
11
01
00
00
00
10
00
01
10
10
10
10
11
00
00
10
00
10
10
10
00
10
10
01
10
00
00
10
01
10
10
11
00
11
10
11
01
10
10
10
10
00
10
00
00
10
10
00
11
00
00
10
11
10
11
00
00
11
11
00
11
00
00
10
10
10
11
00
01
00
10
00
00
10
00
00
11
00
00
01
00
00
01
01
10
11
00
11
01
00
01
11
00
00
11
11
01
11
10
00
00
10
10
01
01
10
00
01
11
01
10
10
00
00
11
00
00
10
01
00
01
10
01
00
00
10
11
00
00
10
11
00
01
11
11
10
11
10
00
00
10
11
01
00
10
00
00
00
01
11
11
01
01
11
00
00
11
11
00
01
10
10
01
10
00
11
10
00
10
00
10
10
11
00
00
01
10
00
00
10
00
00
01
10
11
01
10
00
10
01
11
00
00
10
00
01
11
00
11
11
10
00
11
11
11
00
00
00
10
10
01
01
11
00
00
11
11
00
11
01
00
00
10
11
11
00
11
11
00
01
11
00
00
00
10
10
00
00
10
00
01
00
01
00
10
10
10
10
10
00
00
00
00
11
00
10
10
01
00
00
00
10
10
01
10
10
00
11
01
10
01
00
00
11
10
10
11
01
11
00
11
00
11
10
10
01
00
00
00
10
11
10
01
10
00
00
11
10
11
10
00
10
00
11
00
00
10
10
00
10
10
00
00
00
11
11
11
00
11
10
01
10
10
00
00
10
01
10
11
00
10
00
11
01
11
11
01
11
00
00
00
01
00
11
00
00
11
10
01
10
10
00
00
10
00
01
10
01
11
10
01
00
11
00
00
10
11
00
00
00
10
00
00
10
10
10
00
10
00
10
10
11
00
01
00
01
10
00
00
10
10
11
00
00
11
10
00
00
01
00
10
10
00
00
00
01
10
10
00
00
00
00
00
10
00
00
01
10
00
01
10
10
10
11
10
00
10
10
00
10
00
00
00
11
00
01
00
11
11
10
01
00
10
10
10
00
11
00
00
00
10
10
10
10
10
01
11
11
01
11
10
11
10
10
01
00
10
10
00
00
10
10
11
10
10
10
00
10
00
00
11
11
00
11
00
10
00
00
01
10
10
00
00
00
10
01
10
01
00
00
00
10
00
10
10
00
10
10
00
01
01
01
01
00
00
11
00
10
10
00
00
00
10
10
00
01
00
10
10
00
00
11
00
10
10
10
11
10
00
10
00
00
10
10
11
00
11
10
00
00
10
00
01
10
11
11
00
10
10
10
00
00
11
10
00
11
10
10
10
11
01
00
01
00
01
10
01
00
10
11
10
00
11
11
00
00
00
11
01
11
11
10
01
01
10
01
00
11
10
01
00
11
10
01
00
10
10
01
10
10
01
00
01
10
11
00
00
11
10
10
11
00
00
10
11
10
00
00
10
10
11
00
11
01
10
00
00
10
00
10
10
00
11
10
10
01
10
00
10
11
01
11
10
01
00
11
11
01
10
10
01
11
01
01
00
00
10
10
00
00
11
11
00
10
01
10
10
10
00
01
00
10
00
11
01
00
10
10
10
10
00
01
00
10
11
10
11
10
11
00
01
11
11
01
01
10
01
10
10
00
10
11
01
01
00
01
10
11
00
00
01
10
10
10
10
01
11
00
10
10
00
00
11
01
00
00
10
11
10
10
00
00
11
11
11
00
10
01
11
00
01
10
00
00
00
10
10
10
00
01
00
00
10
11
10
10
01
00
00
00
00
10
10
10
11
00
00
01
00
10
11
10
10
11
11
01
00
10
11
00
01
10
11
00
01
10
01
00
10
00
00
10
10
10
00
00
11
01
11
11
00
01
10
10
10
10
00
01
00
11
10
11
10
00
10
00
00
11
11
11
01
00
10
00
00
10
10
00
01
10
10
10
10
00
11
10
01
11
10
01
10
11
10
00
00
10
11
01
10
01
10
00
10
00
00
01
10
11
01
01
11
01
00
00
01
00
00
10
10
01
01
10
01
00
11
10
01
10
11
10
01
00
10
11
00
10
10
01
00
00
11
11
10
00
00
00
10
11
10
10
00
00
01
11
01
11
10
11
00
00
01
00
10
10
01
00
00
10
10
11
01
10
00
11
11
10
01
00
10
01
01
10
10
11
10
00
11
10
00
10
01
00
10
11
10
00
00
01
01
01
10
01
11
00
01
11
10
00
01
00
01
10
10
10
00
00
10
01
11
11
10
10
00
00
11
10
00
10
00
10
00
10
00
11
11
01
11
01
11
00
00
11
01
01
10
11
00
01
11
00
00
10
00
00
10
10
00
01
00
01
00
11
00
00
00
11
11
00
10
00
00
10
10
10
10
00
10
01
10
10
01
00
00
01
10
10
01
00
00
10
01
00
01
00
10
00
00
11
10
10
00
00
00
00
01
10
00
01
01
11
01
01
11
10
00
01
10
10
00
01
10
01
01
00
00
01
10
00
00
10
10
01
00
10
00
00
00
10
11
01
00
10
10
01
00
11
11
00
10
11
11
00
01
10
00
01
00
10
10
01
10
00
00
01
00
10
00
00
10
11
10
00
00
01
00
10
00
00
00
10
10
00
00
10
10
01
10
10
10
00
10
01
00
10
11
00
01
00
01
10
00
00
10
01
00
10
10
10
11
01
00
00
01
10
11
00
11
10
00
11
00
00
10
00
01
10
10
10
11
10
00
00
00
00
00
11
11
00
00
10
00
10
10
10
01
10
10
10
01
00
00
10
10
00
00
00
00
01
10
00
00
00
00
10
00
10
00
11
00
11
01
00
10
00
00
10
11
00
01
00
11
10
11
00
01
01
00
01
10
00
10
00
00
11
10
01
10
01
10
11
01
00
11
10
00
00
00
10
11
01
00
10
10
01
01
00
00
11
10
10
10
01
00
10
01
00
00
00
00
10
10
01
00
10
11
00
10
01
00
00
11
01
11
00
10
11
10
00
00
00
01
11
00
11
01
10
10
00
11
10
01
00
00
00
10
10
00
10
10
10
01
10
10
00
00
01
11
10
10
00
10
10
10
11
00
00
01
01
01
01
10
00
01
10
01
01
10
10
01
10
11
00
00
00
00
10
11
11
01
10
00
10
11
10
11
10
00
10
00
10
01
00
01
11
10
00
00
11
10
01
10
10
11
00
01
10
00
00
10
10
11
10
00
00
01
10
01
00
10
10
00
00
00
11
11
01
11
11
00
00
11
10
01
10
00
00
10
10
00
11
11
10
00
10
11
00
11
00
00
11
11
10
01
01
11
01
10
10
11
00
11
00
00
00
10
10
01
10
10
00
01
11
01
00
01
10
10
00
10
10
00
00
11
10
00
10
00
00
10
11
01
10
10
10
10
10
11
00
10
01
10
00
00
10
00
11
10
00
10
01
00
01
00
10
00
00
10
10
11
00
10
10
00
00
11
00
00
10
00
00
11
10
10
00
10
11
01
10
00
00
10
01
11
11
11
00
01
10
10
00
11
10
01
10
10
01
11
01
00
01
10
11
00
10
00
00
10
01
11
00
11
00
00
11
00
01
01
10
01
10
10
10
00
00
10
10
10
00
01
10
10
11
11
10
10
10
10
00
00
01
00
01
00
10
00
11
10
10
10
00
10
10
00
01
00
11
01
10
10
00
10
10
10
00
00
10
11
11
00
10
10
01
10
01
00
11
10
00
10
01
01
10
01
01
00
10
11
00
10
11
01
01
00
00
10
11
11
10
10
01
00
01
00
01
11
00
00
11
10
01
00
10
11
00
11
00
00
00
01
00
10
01
00
10
11
11
11
00
00
00
10
01
00
00
11
00
11
10
10
11
10
10
01
10
10
00
10
00
00
01
10
11
10
01
00
01
10
10
01
01
00
00
10
11
01
11
10
00
10
10
01
00
00
10
00
10
11
11
00
11
00
10
10
11
00
00
10
10
10
11
00
00
00
10
01
10
10
10
01
01
00
00
01
10
11
00
11
10
10
10
00
11
11
11
00
00
00
10
10
01
01
11
10
00
01
10
11
10
11
11
10
00
00
00
10
00
00
10
01
00
10
10
11
10
10
10
01
10
00
10
01
10
00
00
00
10
10
00
11
11
00
00
11
01
00
10
00
10
01
01
11
10
00
01
00
00
10
10
00
00
01
10
01
00
11
10
10
11
00
00
10
10
10
11
00
00
10
00
01
00
00
00
10
10
10
00
00
10
10
00
10
10
00
10
10
11
00
10
11
11
10
00
10
00
01
01
10
10
10
00
11
11
00
10
10
01
00
11
10
01
10
01
00
10
10
00
01
10
10
11
00
11
00
01
01
00
11
10
00
11
01
01
01
11
10
11
10
10
10
00
01
10
11
00
10
00
00
00
11
10
01
00
10
00
10
01
00
01
10
11
11
00
10
10
01
00
10
10
10
00
11
00
00
00
10
10
00
10
10
10
01
01
00
01
10
00
01
00
10
11
10
11
10
01
11
01
10
01
00
00
10
10
10
00
00
00
10
11
11
10
00
10
00
10
00
00
01
00
11
01
10
10
01
10
10
10
00
00
00
01
00
00
00
11
10
10
11
00
01
10
10
00
10
00
01
10
10
11
00
11
10
10
01
01
00
11
00
10
11
10
00
01
11
01
10
00
10
10
00
00
10
10
00
00
11
11
10
10
01
10
10
00
01
10
01
10
11
00
01
11
10
10
00
00
10
00
00
00
00
00
10
00
10
00
10
00
00
01
00
00
10
10
00
11
00
00
00
00
11
10
11
00
01
10
00
01
11
10
00
10
11
11
11
00
00
00
10
00
10
10
01
11
11
11
11
10
11
01
00
00
10
10
00
10
11
00
01
10
10
00
10
11
00
11
11
00
01
00
10
00
00
10
00
10
00
00
11
10
01
11
10
00
01
10
10
10
01
10
11
10
10
10
11
00
00
00
11
10
00
01
11
10
10
00
10
01
10
10
01
10
10
01
00
01
10
10
10
00
00
10
10
00
01
10
00
01
10
00
10
01
10
10
01
10
01
00
00
11
10
10
10
00
00
01
00
00
11
00
11
00
10
01
00
10
10
10
01
00
01
00
10
00
01
10
10
10
00
00
10
01
00
00
11
11
00
10
00
00
10
01
10
10
10
00
00
00
00
11
00
00
01
01
10
00
01
10
10
00
10
10
10
10
00
01
01
00
00
01
10
00
00
10
10
00
01
10
11
10
10
10
11
10
10
00
10
00
00
01
01
11
00
11
01
00
10
10
10
01
00
10
00
10
10
01
00
10
11
01
10
00
10
10
01
00
10
01
01
11
11
00
00
01
00
10
00
01
10
00
10
11
11
00
00
11
10
11
10
00
00
00
10
00
10
10
01
00
00
10
10
11
10
00
00
10
10
10
01
01
10
01
00
00
10
01
10
10
10
00
00
00
10
11
10
00
10
10
11
00
00
10
10
00
10
11
11
10
10
00
00
10
10
01
00
10
10
10
10
10
00
00
00
10
01
10
01
10
11
00
00
11
00
11
11
10
01
10
11
00
00
11
10
11
00
00
11
10
00
00
00
00
10
10
00
00
10
00
10
11
01
10
11
00
11
00
01
10
10
00
11
11
00
11
10
01
00
11
11
10
00
01
00
11
00
01
00
00
11
00
00
10
10
00
00
11
10
01
00
00
10
10
00
00
10
11
00
00
00
10
10
10
00
00
00
10
00
10
10
00
00
10
01
10
01
01
00
10
10
00
11
11
00
11
10
10
00
01
10
00
10
10
00
00
10
10
00
00
10
00
11
10
00
00
00
10
10
10
00
01
11
01
00
10
00
01
00
10
11
00
11
11
10
00
10
10
01
10
10
11
00
11
10
01
00
01
00
01
10
11
11
11
10
00
00
00
11
10
10
00
11
11
00
00
00
01
11
11
00
10
00
01
00
01
10
10
00
00
01
10
11
00
00
00
00
01
01
11
00
11
00
11
00
01
10
11
10
01
11
11
00
01
00
10
00
00
00
00
10
10
00
00
00
00
11
10
01
01
00
00
10
11
10
00
11
10
01
10
01
00
01
10
10
01
10
10
11
00
01
10
10
00
10
01
10
01
00
11
10
00
11
01
10
11
11
00
11
00
11
00
01
10
10
00
00
00
10
01
01
01
00
11
10
11
00
00
10
11
11
10
00
00
10
01
10
00
10
11
00
01
01
11
10
00
11
10
10
10
10
01
11
00
00
10
10
10
01
00
11
10
00
00
00
00
10
11
00
10
11
01
10
10
10
01
00
01
10
10
01
10
10
00
00
11
01
00
01
00
10
00
01
01
10
10
01
10
00
11
11
00
00
00
00
11
10
10
10
11
00
01
10
10
00
01
00
01
00
00
00
00
01
10
11
00
10
00
10
10
10
10
00
01
00
11
00
00
10
10
00
00
10
10
10
11
00
00
11
00
10
00
10
10
10
10
01
00
00
00
00
00
10
10
10
00
10
10
10
01
00
10
01
00
00
11
01
00
00
10
01
10
00
11
10
01
01
00
10
00
10
11
10
00
10
10
01
00
00
11
10
01
10
11
10
10
00
00
00
11
00
10
10
11
01
00
11
00
10
10
00
01
10
10
00
00
11
11
11
01
11
10
10
10
10
00
01
01
00
10
10
10
11
10
01
10
11
10
10
01
01
00
11
00
00
00
11
00
11
00
00
10
11
01
00
00
01
10
11
00
10
11
10
01
00
11
11
11
00
00
10
10
00
10
10
00
11
11
00
10
00
00
10
00
10
00
10
00
10
10
00
11
01
00
10
10
01
00
00
11
00
01
10
01
00
01
11
10
01
01
10
11
01
00
10
00
00
11
10
00
01
10
11
00
01
10
00
10
10
10
01
01
10
00
00
11
01
11
01
00
01
10
01
01
01
11
10
11
00
10
11
00
10
01
10
11
00
11
10
01
00
10
11
01
10
10
00
10
00
10
10
01
01
11
10
01
00
01
00
01
10
11
01
10
01
00
11
00
00
01
10
01
00
11
01
00
10
10
00
00
01
00
10
11
10
11
01
00
10
10
11
01
01
11
10
11
00
10
00
01
11
11
01
01
10
00
00
00
11
11
01
10
00
10
00
01
00
00
10
10
00
01
10
11
10
11
11
00
11
01
00
10
00
01
01
10
10
00
01
10
11
11
00
00
10
10
00
10
00
01
00
00
00
11
00
10
10
10
00
01
00
00
10
01
00
00
11
11
10
10
11
00
00
10
01
10
00
11
10
01
11
00
10
00
10
00
10
10
01
00
00
10
10
00
11
10
10
00
00
00
00
00
01
01
00
01
10
11
11
10
01
01
10
11
00
01
10
10
01
01
01
10
01
10
10
11
10
01
10
01
00
01
11
10
00
00
00
11
10
01
10
10
10
11
00
00
10
11
00
00
01
01
10
00
11
10
10
01
00
10
00
00
10
00
11
10
00
01
10
10
10
10
00
00
10
00
10
10
10
01
11
10
10
01
00
01
11
11
00
10
11
00
10
00
00
10
00
00
11
01
10
00
01
01
00
00
10
01
11
11
00
01
00
10
00
01
10
10
00
00
10
00
10
11
01
01
10
00
01
00
10
10
00
01
11
10
11
00
01
00
01
10
00
10
11
10
11
10
01
00
00
00
10
11
00
01
10
10
00
11
00
00
10
00
01
00
00
10
00
00
00
00
10
00
11
01
01
10
10
00
11
11
10
11
00
10
11
10
00
00
11
10
10
10
11
10
00
01
01
10
11
10
01
10
10
00
01
10
10
00
00
00
01
00
10
10
00
11
00
00
00
00
10
00
00
00
10
11
10
11
11
00
00
10
10
00
11
10
00
10
11
00
01
01
10
01
10
00
10
10
01
10
00
01
10
10
10
01
00
00
00
01
11
01
10
10
00
10
01
10
00
00
11
10
11
00
10
00
01
10
00
10
10
10
01
00
01
10
00
01
11
11
00
00
10
00
00
00
11
10
00
10
11
10
00
11
00
01
10
00
01
10
10
01
00
11
00
00
11
10
00
00
11
11
10
00
00
10
00
11
01
00
10
01
00
11
10
10
10
00
00
11
00
00
01
00
10
00
00
00
00
10
01
10
01
01
10
00
11
00
11
10
01
10
00
11
00
01
10
01
10
10
11
11
01
00
11
10
00
00
01
10
10
01
00
00
00
10
11
10
01
00
00
00
00
01
10
01
10
00
00
10
01
10
11
00
11
00
11
00
00
10
10
00
00
00
01
10
11
10
11
11
10
10
00
11
10
00
10
00
10
11
00
01
11
01
01
00
00
10
01
01
10
10
10
01
00
10
00
00
10
00
00
11
10
10
10
01
11
00
00
01
01
10
11
01
11
10
00
10
10
11
00
00
00
10
10
00
00
00
11
10
01
10
00
10
00
00
10
11
01
01
10
00
00
00
10
01
00
10
11
10
10
11
10
00
00
10
00
01
11
00
00
01
10
00
00
00
10
00
11
10
00
01
11
11
00
10
11
00
11
01
01
10
11
00
10
11
00
00
11
11
00
00
10
11
11
00
00
10
11
00
00
10
00
10
01
10
10
00
01
00
10
11
01
00
00
10
10
10
11
00
11
00
01
00
01
00
00
10
10
11
01
00
10
01
11
00
00
10
10
10
00
00
01
10
11
00
00
10
00
10
10
11
11
00
10
11
00
11
10
10
10
00
01
11
00
00
01
00
00
10
11
10
10
10
11
00
11
00
01
11
11
01
00
01
11
11
00
00
10
10
00
00
00
11
10
00
10
01
10
10
00
10
01
00
01
11
00
00
00
11
10
10
01
00
10
10
01
10
10
01
00
11
00
10
10
01
00
01
00
11
11
00
10
10
00
00
10
11
10
01
10
00
01
01
10
10
10
00
00
11
01
00
10
10
10
10
00
11
01
10
10
10
10
10
00
00
00
00
11
10
10
00
01
11
01
10
11
11
10
01
00
10
10
01
00
00
10
10
01
11
01
11
00
01
01
00
11
00
00
00
10
10
10
00
00
10
10
10
00
11
00
11
00
10
11
10
10
10
11
10
11
01
00
00
10
10
00
00
10
10
11
11
10
11
00
10
10
10
01
10
11
00
01
11
10
00
00
00
10
11
00
01
11
10
00
11
01
10
10
00
00
00
10
00
00
00
10
01
00
00
10
11
10
00
01
01
01
10
01
10
10
10
11
10
00
10
10
10
10
00
00
10
11
10
10
10
00
10
10
10
00
11
00
10
11
00
01
01
01
10
10
01
00
11
11
00
10
10
10
11
10
01
00
11
00
00
11
10
10
01
10
11
10
00
00
10
01
00
10
10
00
00
10
00
10
10
11
10
01
00
11
10
00
10
00
01
10
10
10
00
01
11
11
01
01
01
00
01
10
10
00
00
10
00
11
10
10
00
00
10
10
00
01
10
01
00
01
00
11
10
10
10
00
00
10
01
11
10
10
00
01
00
01
10
11
10
10
00
00
01
11
10
01
00
11
00
10
00
00
10
10
00
00
10
00
01
10
10
10
01
01
10
10
00
11
10
10
11
00
11
10
00
10
00
00
00
00
10
01
00
11
10
01
00
10
10
01
10
00
10
10
01
10
00
00
10
00
00
00
10
00
01
10
11
00
00
00
10
00
00
01
10
10
10
10
10
10
10
00
10
10
10
11
01
00
10
10
00
11
10
10
01
10
01
10
00
11
01
10
11
11
10
01
10
11
01
10
11
11
10
11
11
01
10
01
00
11
11
00
00
10
00
10
11
00
00
11
11
00
10
01
10
00
00
01
10
10
00
10
00
10
11
10
00
01
01
10
00
10
11
01
10
01
10
11
10
10
00
01
11
00
01
00
00
10
01
11
10
00
01
01
10
01
00
10
01
00
10
00
00
11
00
00
10
11
01
10
00
10
01
00
10
10
11
10
10
00
01
10
10
11
00
01
00
10
00
00
10
10
01
00
00
01
10
11
10
10
00
01
00
00
10
10
10
00
11
11
00
01
11
11
00
00
00
10
10
01
01
10
10
00
01
01
01
10
00
11
11
11
00
10
11
00
01
10
10
10
00
10
10
00
01
10
10
11
10
00
00
10
11
01
00
00
00
01
10
10
00
10
00
01
00
11
00
00
10
00
10
01
01
10
10
10
10
01
10
10
10
00
00
01
00
00
10
00
00
01
00
10
01
01
11
00
11
11
11
10
01
00
11
01
00
10
11
01
10
10
10
10
11
00
00
10
01
00
00
00
11
10
00
10
00
10
10
11
10
00
00
10
00
00
11
10
00
00
10
10
10
01
01
00
00
00
10
10
01
10
01
00
00
00
01
00
00
11
11
10
00
10
10
10
01
10
11
00
00
00
10
10
01
01
10
11
11
10
01
00
10
10
00
11
00
01
10
00
10
11
10
10
01
10
10
00
00
00
00
11
10
11
01
01
10
10
00
00
10
11
00
00
00
11
11
00
01
10
00
01
10
11
01
01
10
00
00
11
00
00
10
00
00
00
10
10
00
00
01
10
01
00
10
00
00
00
11
01
01
00
10
10
00
01
10
00
10
11
10
11
01
00
10
00
01
10
10
00
01
00
10
00
00
00
10
10
10
10
11
00
10
11
10
10
00
01
10
00
01
10
00
10
00
11
00
10
00
00
00
00
11
11
00
00
00
10
10
10
01
00
10
11
10
01
00
10
11
10
11
01
11
10
00
11
11
10
01
10
01
01
00
00
10
00
00
10
10
10
00
10
10
01
11
01
01
00
10
00
00
11
10
00
00
11
10
01
01
00
11
11
11
11
01
10
00
00
11
00
00
10
10
00
00
11
00
00
10
00
00
00
10
11
01
01
01
11
01
10
00
01
00
10
11
00
01
00
10
01
00
01
10
01
00
01
01
11
10
10
10
10
00
00
10
01
01
00
01
11
01
10
10
00
11
00
01
00
10
10
00
10
11
00
00
00
11
10
10
01
11
00
01
10
10
00
11
11
00
00
10
10
00
01
10
10
00
01
00
10
10
00
11
00
01
10
11
01
10
10
11
10
00
01
11
01
11
10
01
10
11
01
00
00
10
00
11
01
00
10
10
10
11
11
00
00
00
10
10
00
00
00
10
10
10
10
10
00
00
00
00
10
10
10
00
10
00
00
00
00
10
10
00
00
11
11
00
00
10
10
00
01
01
00
00
10
11
00
01
00
01
00
11
11
10
10
01
01
11
10
01
00
10
00
10
11
01
11
11
10
01
00
00
10
11
11
01
00
11
10
10
11
00
00
10
00
00
00
11
10
00
00
10
00
01
00
11
10
00
10
11
11
01
00
10
01
00
11
00
10
10
10
10
00
10
10
10
11
11
10
11
01
00
01
00
10
11
10
00
11
10
00
01
10
11
11
01
00
00
10
10
10
00
10
10
00
00
01
10
10
01
00
10
10
01
00
01
00
11
00
00
00
10
10
01
10
10
00
10
10
00
10
10
00
00
11
10
10
10
10
01
11
11
00
00
00
11
01
10
10
01
01
00
00
10
11
10
11
01
00
10
00
00
01
00
10
01
10
11
10
10
00
00
01
10
01
00
10
10
10
01
11
11
01
00
00
11
10
11
01
00
10
00
10
00
00
00
10
10
01
01
00
01
00
10
11
00
00
10
00
01
10
01
10
11
10
00
00
01
10
00
10
10
11
10
11
00
10
10
00
11
00
10
10
11
01
01
11
00
01
10
00
00
10
10
10
00
00
00
11
01
11
11
10
10
10
01
10
00
01
11
10
11
00
00
10
01
01
10
00
00
10
10
11
11
00
01
11
10
00
00
10
00
10
11
10
10
00
00
10
10
00
00
00
00
10
00
00
10
00
10
01
10
11
10
11
10
00
11
10
00
00
00
00
00
01
10
01
00
10
10
10
00
10
10
00
00
10
10
10
11
10
11
00
10
01
00
11
10
00
01
11
00
10
01
01
10
00
10
10
00
10
00
00
00
10
10
00
00
11
10
00
11
10
11
11
10
01
11
10
00
00
00
11
00
01
10
00
00
00
11
10
01
00
10
00
10
10
11
10
00
01
00
01
01
10
11
01
11
11
00
00
10
00
00
10
10
01
10
00
10
01
00
11
01
00
11
00
01
00
01
11
10
10
00
10
10
11
00
01
00
00
11
10
01
00
10
10
00
10
10
00
10
11
11
11
10
01
01
10
00
01
01
10
00
00
10
11
00
10
01
00
10
01
01
11
11
00
00
00
00
10
00
01
10
10
00
00
11
10
11
00
01
00
00
10
00
01
10
00
01
00
00
00
11
10
11
00
10
10
00
00
01
11
10
10
10
11
00
01
11
01
00
00
10
00
10
01
11
11
00
11
10
10
11
10
00
00
11
10
11
10
11
10
00
11
01
01
10
11
10
01
10
10
01
01
00
11
10
01
00
01
11
11
10
00
10
10
00
10
00
00
10
10
10
10
10
11
10
01
01
00
00
10
10
00
10
11
00
00
01
10
11
00
10
10
11
10
01
00
11
01
01
10
10
10
01
10
00
00
10
01
00
11
01
01
10
10
01
11
01
10
11
00
10
01
00
10
10
11
11
11
10
00
01
01
10
10
00
10
10
00
10
10
01
01
00
00
11
10
01
00
10
10
10
00
00
10
10
00
10
10
00
00
00
10
10
01
00
00
11
00
11
00
10
11
00
01
11
01
11
10
00
00
10
00
01
10
10
10
00
00
10
00
10
00
11
01
00
10
10
01
11
10
10
00
10
10
01
00
01
10
10
01
00
00
10
01
00
01
11
01
10
10
01
00
01
00
11
10
11
01
10
00
00
10
10
10
11
00
00
11
10
10
00
01
01
11
10
01
01
10
10
01
10
00
10
10
01
00
10
00
00
10
00
00
10
11
00
10
10
10
10
11
01
00
01
11
00
11
01
00
00
00
11
11
01
00
11
00
01
00
11
00
11
00
01
01
10
00
11
10
00
10
00
01
00
01
00
10
01
00
00
00
00
10
10
10
01
10
00
10
11
00
00
10
10
10
00
10
11
10
10
00
10
11
00
00
01
00
10
00
00
10
10
00
00
01
10
11
00
00
10
10
10
10
01
00
00
11
10
10
11
00
01
11
11
10
10
10
01
11
01
00
00
10
10
00
00
11
10
11
10
00
01
10
10
10
10
10
00
00
10
10
01
11
00
10
00
01
11
10
11
00
00
10
11
01
10
10
01
00
11
11
11
00
01
01
11
10
01
10
01
00
10
10
01
10
00
00
10
11
01
01
11
01
00
01
00
00
10
10
00
01
10
11
11
10
11
10
10
10
10
00
00
10
11
00
10
11
01
10
10
00
10
00
00
01
00
11
00
00
10
10
01
11
01
00
11
01
01
00
10
11
01
11
01
00
11
10
11
01
11
11
01
01
00
11
10
00
10
11
00
00
10
10
11
00
00
11
10
00
00
10
10
00
01
00
01
10
00
00
11
01
11
11
00
10
00
10
10
11
00
10
11
00
01
00
10
00
00
00
00
10
10
01
11
01
11
10
11
10
10
01
00
10
11
00
01
01
11
01
00
10
10
01
10
11
00
00
00
11
00
01
10
10
00
00
00
00
00
10
00
01
00
10
01
10
11
00
01
10
10
10
00
00
10
11
00
01
00
00
10
00
01
11
10
00
01
10
00
10
00
10
10
01
11
01
11
01
00
00
00
10
10
01
00
11
10
00
10
00
01
00
01
11
00
10
00
10
10
00
00
01
00
10
00
10
10
00
11
00
10
10
10
01
10
01
01
10
11
10
10
10
10
01
10
10
01
00
11
11
01
11
11
00
01
10
00
10
10
10
01
01
10
01
00
01
00
01
00
10
10
00
00
10
01
11
10
00
00
10
10
00
10
01
10
11
11
01
00
11
00
00
01
00
01
11
10
00
10
00
11
11
10
01
11
01
00
11
10
01
10
10
00
10
00
10
11
01
11
10
00
11
00
10
00
10
10
00
10
10
00
11
10
10
10
00
00
10
10
11
10
00
00
11
00
00
11
00
11
10
10
10
00
10
10
00
11
10
01
00
10
10
11
00
00
00
01
00
10
10
01
11
10
00
10
10
00
00
00
10
10
10
01
01
10
00
10
01
10
10
00
00
01
11
11
10
00
00
10
10
10
00
01
10
10
11
01
01
10
00
00
11
10
00
00
10
10
00
01
01
00
11
11
10
10
11
00
10
00
00
01
00
10
10
10
00
11
11
00
11
00
00
00
11
11
00
00
10
01
00
00
10
01
10
00
00
00
11
01
10
10
00
00
10
00
10
01
00
11
10
10
00
10
11
00
11
10
11
00
00
00
00
01
01
10
10
11
01
10
00
00
10
00
00
00
10
11
10
00
00
00
01
11
11
01
00
10
10
00
00
00
11
10
10
01
10
10
01
10
11
01
00
00
00
10
00
11
01
01
10
10
00
00
00
10
10
00
01
11
10
11
00
01
01
10
00
10
00
10
11
00
00
11
00
01
00
11
00
01
11
11
11
01
10
00
00
01
01
11
00
11
00
00
00
01
11
11
11
01
11
00
00
10
00
10
10
01
00
10
10
01
11
00
00
01
00
10
11
00
10
10
11
00
11
00
00
10
10
01
00
00
11
10
11
01
00
10
10
11
10
11
01
00
10
10
01
11
11
01
00
01
11
10
10
01
01
10
10
00
00
10
10
01
00
01
10
00
00
00
01
10
10
00
00
01
10
11
10
01
10
01
00
10
10
01
11
10
10
10
00
10
00
00
10
01
00
11
11
10
01
10
00
10
11
11
11
00
00
11
00
00
01
00
10
10
00
10
10
00
00
11
10
10
00
00
00
11
00
11
00
10
10
01
11
00
10
01
10
11
00
10
11
00
00
00
00
01
00
00
00
01
10
10
00
10
10
10
01
00
00
11
11
01
00
00
10
01
11
10
01
10
00
00
00
00
10
10
10
00
11
11
00
11
00
10
11
01
00
00
10
11
11
00
00
11
11
00
00
11
01
10
10
00
00
00
10
00
00
10
10
10
00
10
10
00
10
11
11
11
01
10
01
10
01
00
10
11
00
10
11
01
00
11
01
01
10
00
10
10
11
00
01
00
00
00
01
00
01
00
01
00
11
00
11
00
00
11
11
10
01
10
10
10
00
11
00
01
10
10
10
11
10
10
00
01
00
00
01
00
11
11
01
10
10
10
10
10
00
00
00
10
10
10
00
00
00
00
00
10
10
01
10
11
00
00
00
01
10
00
11
10
11
00
10
01
11
01
00
10
11
01
10
10
11
00
01
10
11
00
00
10
00
00
10
10
00
10
00
00
11
00
11
10
10
11
01
10
10
11
00
00
01
01
01
10
11
00
00
00
11
00
11
10
00
10
00
00
11
00
00
01
11
01
10
00
10
00
01
00
11
11
10
00
01
11
00
00
10
10
00
00
10
11
00
01
00
10
00
00
10
01
10
10
00
01
01
00
11
11
00
11
10
10
10
00
10
00
00
00
10
00
10
11
10
00
11
01
10
11
11
10
00
10
10
01
00
10
10
01
00
00
00
01
00
00
00
00
00
01
10
10
11
00
10
10
00
00
10
11
00
11
10
00
11
01
10
00
00
10
11
10
11
00
00
00
00
10
10
01
00
00
00
10
01
00
11
11
01
10
00
10
10
11
01
01
00
10
01
00
00
10
10
00
11
00
10
10
10
01
01
01
01
10
01
10
01
10
10
00
10
11
10
01
01
00
00
01
10
10
11
00
00
00
00
11
00
00
10
10
10
10
11
10
00
10
10
11
00
00
10
00
11
00
00
10
11
00
01
00
10
11
00
00
00
10
00
11
10
00
00
01
10
10
01
11
11
00
10
11
10
00
00
00
10
10
00
10
01
01
00
11
10
10
00
10
10
11
01
00
11
10
00
01
10
10
01
11
11
10
01
00
10
11
00
01
10
11
10
11
00
01
00
10
00
01
01
11
00
01
11
10
10
10
01
10
00
10
00
00
10
10
10
11
00
10
10
11
00
00
00
01
00
00
10
11
10
00
10
11
00
00
00
00
01
10
11
10
00
00
10
10
10
10
00
10
10
00
10
00
00
01
10
01
00
00
00
00
10
10
00
00
01
10
00
10
01
00
10
00
01
10
10
10
11
10
01
10
10
00
00
01
00
11
10
00
11
10
00
01
10
10
11
00
01
10
00
11
01
10
10
01
00
10
11
11
01
10
00
01
11
00
00
00
10
10
10
00
01
11
00
10
11
10
10
10
10
10
00
11
00
01
10
11
00
00
01
00
10
10
10
00
10
10
00
01
11
10
10
00
00
01
00
11
01
10
10
00
11
11
01
01
10
00
10
01
00
10
10
10
00
10
10
00
00
01
00
11
00
00
00
10
10
00
00
00
10
00
00
11
00
10
11
10
00
00
11
10
10
00
01
10
00
10
10
10
00
00
11
11
01
11
00
01
00
10
00
01
10
00
11
00
10
11
11
00
01
10
00
10
01
01
00
01
10
01
10
00
10
10
00
01
10
11
10
10
01
01
10
01
01
11
11
00
01
11
10
00
01
00
11
10
00
01
01
01
11
11
00
00
10
10
00
01
11
10
11
00
00
10
10
00
00
00
10
10
10
00
11
10
11
01
11
10
01
00
01
00
10
10
10
11
00
00
00
10
00
01
11
01
10
11
10
00
01
10
01
00
10
01
11
11
00
10
11
01
00
00
10
01
11
01
01
10
00
00
01
00
10
10
10
10
00
00
00
10
10
00
00
11
11
10
01
00
11
10
10
10
00
11
10
11
10
10
00
00
10
01
00
01
11
11
10
00
00
10
11
00
00
10
00
00
10
00
11
10
00
00
10
10
11
00
10
00
01
11
11
11
01
00
11
00
10
10
10
11
00
10
10
01
10
10
01
00
00
00
01
11
10
01
00
01
11
01
01
00
11
00
00
10
10
11
00
00
11
00
00
11
00
00
10
00
00
10
10
10
00
11
10
01
00
10
00
01
10
00
10
10
10
10
01
00
11
10
00
01
00
01
01
10
10
00
00
01
00
11
10
11
00
00
00
11
11
10
10
00
10
10
10
11
00
01
00
00
10
10
00
00
10
10
10
11
01
01
11
00
10
11
00
00
00
10
10
00
00
11
11
01
10
00
01
00
01
00
10
10
11
01
00
10
10
11
01
01
11
10
01
01
00
00
00
00
10
10
01
01
11
00
01
00
10
10
01
00
11
11
00
00
00
00
00
00
10
10
00
00
00
10
00
00
10
00
10
01
10
01
11
11
00
10
00
10
10
01
00
10
00
01
10
00
00
11
00
00
10
01
01
10
10
10
10
10
10
00
00
00
10
10
10
10
01
00
01
10
10
10
10
00
00
10
11
00
10
00
10
10
01
10
00
10
10
10
10
10
10
00
01
11
00
00
00
01
11
00
01
10
01
00
01
00
11
00
00
11
10
00
11
10
00
10
10
00
10
01
00
11
10
00
00
00
00
10
10
00
10
00
10
01
01
11
11
10
10
01
10
11
10
10
00
10
10
00
00
11
10
01
10
01
00
01
01
00
10
11
11
00
10
10
00
00
10
10
01
00
00
10
01
11
11
00
00
00
10
10
01
10
10
01
00
10
10
10
00
00
00
10
10
00
00
00
00
00
10
10
00
10
00
10
00
10
10
01
00
00
11
00
10
00
01
10
00
01
00
10
01
11
11
10
01
11
10
00
10
00
01
01
10
11
01
01
10
10
11
01
01
10
01
00
10
11
01
00
10
00
00
10
11
10
10
10
10
01
10
10
11
11
00
10
00
00
10
01
10
11
00
00
10
11
00
10
10
00
10
01
10
10
00
00
00
00
00
11
01
00
00
10
10
10
10
00
00
01
10
01
10
00
11
01
10
00
01
01
01
00
00
10
11
01
01
10
10
10
00
01
10
11
00
00
11
10
10
01
10
10
00
00
10
00
00
00
10
00
00
00
00
00
01
10
10
10
10
10
10
00
11
10
01
10
01
00
10
01
00
10
00
01
10
11
00
11
00
00
11
00
11
11
10
11
10
10
00
00
01
11
10
11
01
00
00
00
00
10
10
01
00
11
01
00
10
10
10
11
00
00
01
10
00
10
11
00
00
00
10
01
01
00
10
00
00
00
01
10
10
10
00
10
10
00
00
10
00
10
11
00
11
10
10
01
10
11
10
01
00
10
01
10
01
10
11
10
10
10
10
10
10
00
01
00
11
10
00
00
10
00
10
00
10
10
10
10
10
11
11
00
00
00
00
01
10
11
11
00
10
11
00
01
01
00
10
01
10
01
00
10
01
00
10
11
10
11
00
00
10
11
00
00
00
10
00
00
01
10
11
00
11
00
11
01
00
01
01
10
10
11
10
11
11
01
10
10
00
00
00
10
10
10
11
00
11
10
00
00
00
10
11
01
00
00
00
11
00
10
01
10
10
11
00
11
10
11
00
11
11
00
01
00
11
11
01
10
11
10
00
00
11
10
01
10
10
10
00
10
00
00
10
10
11
01
11
10
00
10
10
00
10
10
11
10
00
10
00
01
00
11
10
11
11
10
00
01
10
10
00
01
10
11
00
00
01
00
11
11
10
01
01
11
00
10
10
01
00
11
10
10
00
10
01
00
00
10
01
10
11
10
00
00
00
00
10
10
01
10
11
10
00
10
10
00
11
00
00
01
10
10
00
01
10
00
10
01
11
00
10
10
00
10
11
00
01
10
01
00
11
01
11
10
01
00
11
00
00
10
10
00
00
00
11
00
00
10
00
01
10
01
11
10
00
01
10
11
01
01
11
00
00
11
00
01
10
10
00
01
10
11
01
10
01
00
10
10
10
10
01
11
10
11
00
10
10
00
11
01
10
10
11
00
11
00
00
11
10
10
00
00
11
10
10
00
10
10
01
10
10
00
00
10
11
10
00
11
10
01
00
00
10
10
00
10
01
00
00
10
00
00
11
10
01
00
10
11
00
11
10
00
01
10
10
00
10
10
01
11
01
10
11
00
10
01
00
11
00
00
11
00
00
10
00
00
00
00
11
00
00
11
10
00
00
01
10
00
00
10
00
00
10
10
11
01
11
10
11
00
11
10
11
01
00
00
10
10
00
10
10
11
00
00
00
00
10
01
10
00
10
00
00
00
10
10
00
11
00
10
01
00
10
10
00
01
00
11
10
10
10
00
00
01
01
10
11
01
00
00
00
10
10
10
00
00
10
00
01
10
10
00
10
10
00
00
11
00
00
01
01
11
11
10
11
00
10
10
00
01
10
01
10
00
00
00
10
10
11
00
00
00
10
10
00
11
01
00
10
10
11
10
01
00
00
01
00
10
10
00
11
01
01
11
10
10
01
11
11
01
00
00
10
00
01
00
11
11
10
11
00
10
10
01
00
11
00
00
11
11
00
00
01
11
10
01
00
00
10
00
00
10
00
00
10
10
00
10
11
10
01
10
00
01
10
11
00
01
10
11
10
00
01
10
10
01
10
10
11
10
00
00
11
00
10
10
10
11
00
10
00
00
11
11
11
01
01
11
10
10
11
10
11
10
00
01
11
10
00
00
10
11
10
00
01
10
00
10
00
10
10
00
00
10
01
10
11
00
11
01
10
10
00
01
00
00
11
00
01
00
01
10
10
01
01
10
10
00
01
00
00
11
10
00
01
00
10
00
11
10
10
10
10
01
00
11
01
00
10
10
00
00
00
10
00
01
10
01
10
01
01
10
00
00
00
10
00
00
10
00
10
10
11
10
10
00
00
00
00
10
00
01
00
01
00
11
00
00
11
10
10
00
00
10
10
11
00
00
10
10
00
00
10
00
00
10
10
00
10
11
10
00
11
10
01
10
01
00
01
10
10
10
01
11
00
00
10
10
01
01
11
11
01
00
01
10
00
00
10
01
01
10
11
00
10
10
00
00
11
10
11
10
01
10
10
10
00
11
10
10
11
01
00
11
00
01
11
00
00
10
00
00
11
11
01
01
10
00
01
01
10
10
10
00
11
11
00
00
10
10
01
00
10
00
10
11
00
10
10
11
00
11
00
11
10
00
00
00
10
11
10
11
00
01
01
10
10
00
10
11
01
00
00
00
00
00
11
10
00
01
00
11
10
01
01
00
11
10
10
01
01
11
10
00
00
11
00
00
00
10
00
00
01
11
00
01
10
00
01
00
01
10
10
00
10
01
01
11
11
01
10
10
01
11
10
01
00
11
10
00
00
00
01
11
01
00
00
11
00
11
11
11
00
11
10
00
11
10
00
00
11
10
00
11
10
00
00
00
11
10
10
00
00
10
10
00
10
11
11
10
01
11
10
10
10
10
01
00
10
10
10
00
11
11
00
00
10
10
00
11
10
10
11
00
00
00
00
10
00
11
00
01
00
10
11
01
00
10
10
00
00
10
10
00
00
00
00
00
00
10
10
01
01
10
10
10
00
00
00
10
00
00
10
00
11
00
01
10
10
01
00
01
01
10
00
00
10
10
00
00
11
11
01
10
10
11
10
10
00
10
11
00
00
00
00
00
00
10
10
01
01
01
10
10
11
10
01
10
01
00
10
10
00
10
11
01
00
01
11
10
00
00
10
10
01
01
00
11
00
11
11
11
10
11
01
01
11
10
00
00
01
10
01
10
10
00
00
10
00
00
10
10
10
11
11
00
10
00
10
10
10
00
00
11
01
10
00
00
00
01
11
01
00
00
11
10
11
10
10
11
11
01
00
01
10
10
11
00
01
11
00
10
00
10
00
11
11
00
01
10
10
01
01
00
11
10
00
01
10
00
00
11
11
00
11
01
00
01
00
00
10
10
01
11
11
10
10
00
00
00
00
00
10
10
00
10
11
10
10
01
11
00
01
00
00
10
00
10
10
00
00
10
11
00
00
10
00
00
10
10
10
10
00
10
01
10
00
00
10
01
00
10
11
00
01
00
10
10
10
10
10
01
00
11
00
11
10
01
01
01
01
01
01
10
10
11
00
00
11
01
00
01
00
00
10
10
10
10
00
10
10
10
10
00
11
01
00
00
01
00
10
10
00
10
11
01
00
01
00
00
00
00
10
01
11
00
10
10
00
11
11
11
11
11
10
11
00
00
10
10
01
01
11
10
01
11
10
11
11
10
00
10
01
01
01
00
10
11
10
10
01
10
01
11
01
11
00
10
00
00
00
01
10
10
00
00
00
11
11
00
00
00
10
10
11
10
01
10
01
10
10
00
10
11
00
00
10
10
01
00
10
10
00
11
11
00
11
10
10
11
10
01
01
01
10
00
00
10
01
00
01
00
10
00
00
00
10
00
00
10
00
00
10
01
10
00
10
00
10
00
00
10
11
01
00
11
01
00
11
11
10
00
10
11
00
00
00
10
10
00
10
10
10
10
00
00
11
10
00
10
00
10
01
00
00
10
11
10
01
00
00
11
00
00
01
01
10
00
01
10
00
00
00
00
10
01
10
10
00
11
10
00
11
00
00
00
11
10
00
00
11
11
00
11
10
00
10
10
00
10
00
01
00
00
01
00
11
00
01
11
10
01
10
10
00
11
10
10
00
00
00
10
01
10
01
10
10
00
00
00
10
00
00
00
11
10
11
00
00
10
11
10
11
10
00
00
10
10
01
11
10
01
10
11
10
00
10
11
10
10
00
00
10
10
00
10
11
10
01
11
10
00
00
00
10
11
00
11
00
00
11
11
11
00
10
10
10
01
00
10
11
11
00
10
11
10
01
00
01
00
01
00
10
00
00
10
10
00
01
00
10
10
11
10
11
00
00
10
11
11
00
11
10
11
00
10
00
00
10
10
00
00
11
10
01
10
01
00
00
11
10
00
11
11
00
00
11
00
01
10
11
01
00
10
00
00
10
10
01
00
11
10
01
10
10
11
11
00
00
11
00
10
11
00
01
11
10
00
01
01
00
10
10
00
00
11
10
11
00
01
00
00
11
10
11
11
10
00
11
00
00
11
10
10
00
10
00
01
10
00
11
01
11
00
10
01
10
00
10
00
10
00
00
10
10
00
00
10
10
01
00
10
00
01
01
10
10
10
10
00
00
00
11
11
00
01
10
11
10
00
10
10
00
01
00
11
01
10
10
10
00
00
00
01
10
00
10
01
01
00
11
10
01
01
10
01
10
11
00
00
10
00
01
11
11
01
00
11
01
10
01
00
10
10
10
00
00
10
10
01
10
11
01
10
11
10
00
10
00
01
10
00
00
11
00
10
10
00
00
00
01
01
00
00
11
11
10
10
10
10
00
00
01
10
00
01
01
01
00
11
01
00
00
10
10
00
10
10
01
00
00
00
00
10
10
01
10
10
00
01
10
11
11
00
10
10
10
10
10
00
10
10
10
00
11
00
11
10
10
11
00
11
00
01
10
00
01
00
01
10
11
00
11
01
01
11
10
10
10
11
00
00
10
10
00
01
10
10
10
10
10
10
01
00
10
10
00
00
10
01
01
01
00
00
01
01
11
10
00
01
00
10
00
11
11
10
01
10
10
01
11
00
00
00
10
01
10
10
11
10
00
11
11
11
00
10
00
10
10
10
11
11
00
01
00
11
10
11
00
01
10
10
00
00
10
11
11
00
00
01
01
10
11
01
10
11
00
01
11
10
00
00
10
11
00
11
01
10
11
11
00
00
10
10
01
00
00
11
00
11
10
00
11
01
11
10
00
00
10
11
10
00
00
00
11
10
00
11
11
00
00
10
11
00
10
10
00
10
10
00
10
00
00
10
00
00
11
00
10
10
11
00
10
00
10
10
11
00
00
00
00
00
10
10
00
10
10
00
00
10
01
10
11
11
01
10
00
01
11
00
01
00
10
00
10
10
00
00
10
01
01
11
11
00
00
01
01
00
11
10
01
10
10
01
11
10
00
11
10
10
10
11
00
11
11
11
01
10
11
00
10
00
00
10
10
11
01
11
10
10
00
00
10
00
00
10
11
00
10
10
00
10
10
11
10
01
00
10
10
00
00
00
01
11
00
10
10
10
11
10
00
11
00
10
01
01
11
01
11
01
11
00
01
10
11
00
10
00
01
11
00
11
10
10
00
00
10
11
10
01
00
11
11
11
11
01
10
10
00
00
10
10
00
10
00
10
00
00
00
00
00
00
00
10
00
00
10
10
00
00
01
11
11
00
11
10
10
00
11
01
00
10
11
10
01
01
01
10
00
10
10
10
10
10
11
10
00
11
00
11
10
01
01
11
10
11
10
01
00
11
01
00
11
00
11
10
10
00
10
00
11
10
01
11
01
10
01
10
11
01
01
11
10
10
00
01
10
00
00
10
00
01
00
01
11
10
10
10
10
10
00
01
10
10
10
10
01
00
01
00
11
10
10
00
01
01
11
00
00
11
10
11
01
00
00
00
00
11
00
10
10
00
00
10
00
11
01
01
00
10
01
00
11
10
01
01
10
10
10
11
00
00
11
10
10
10
00
10
00
11
00
01
10
00
10
10
00
01
01
11
11
00
00
01
11
01
01
10
10
00
01
01
11
11
01
10
11
10
11
10
10
00
00
00
11
00
01
10
11
11
01
10
10
10
00
10
10
00
00
10
10
10
00
00
11
10
00
10
10
00
10
00
00
10
10
10
00
00
00
10
00
01
10
11
10
10
00
10
00
00
00
10
01
00
11
10
00
11
11
10
10
10
10
01
10
00
00
00
10
00
10
11
00
11
01
10
10
10
00
00
00
10
11
10
10
00
00
11
11
00
01
01
11
10
01
10
11
00
11
10
00
00
00
01
10
00
00
10
00
00
00
11
11
00
10
01
00
10
11
00
00
10
10
11
00
00
11
00
10
00
10
01
00
10
11
10
00
10
11
00
11
10
00
10
11
01
10
11
00
11
10
00
00
11
00
01
10
10
01
00
01
11
00
11
10
10
00
10
11
00
10
10
00
10
10
00
00
00
00
10
11
11
11
01
00
11
10
00
00
10
11
00
01
10
01
10
10
11
00
10
10
10
01
00
10
10
00
11
00
00
01
00
00
01
10
00
01
11
10
11
11
10
00
11
00
11
00
00
10
00
01
11
00
00
00
10
01
10
00
10
11
01
00
11
00
00
10
10
01
11
10
00
11
10
10
00
00
00
00
10
11
00
01
00
00
10
10
00
10
11
00
00
10
10
10
11
00
00
10
10
00
10
11
00
10
10
00
10
11
10
10
00
00
10
10
01
10
00
10
10
00
10
10
01
00
01
01
00
11
00
00
10
11
00
01
10
10
10
10
01
11
10
01
10
10
10
00
00
10
10
01
01
11
00
10
00
10
10
00
10
00
00
01
00
00
10
01
10
01
11
11
10
10
10
10
00
01
10
11
00
00
00
11
01
00
11
11
11
10
11
00
01
11
10
10
01
00
11
10
01
00
00
10
10
00
00
00
00
11
10
10
10
11
10
01
00
00
10
00
11
10
00
10
00
10
10
00
00
11
00
00
00
10
00
00
10
00
01
10
10
01
00
10
10
00
10
10
00
10
00
00
10
10
01
10
10
10
00
00
00
11
10
01
00
10
10
11
10
11
10
00
01
00
11
10
00
11
00
11
00
10
11
00
11
00
10
00
00
11
10
10
00
11
11
00
10
01
00
11
10
00
00
11
00
11
10
01
10
01
10
10
10
01
10
10
00
00
11
11
11
10
00
00
10
10
10
11
00
10
10
01
00
00
10
10
00
11
00
01
10
11
00
01
00
10
10
00
11
01
11
10
10
10
01
10
11
00
10
10
00
10
00
01
00
11
10
00
10
00
11
10
00
00
10
10
00
11
10
10
10
11
11
00
10
00
00
10
01
11
11
10
10
01
10
10
01
01
10
00
00
10
10
00
00
10
11
00
00
00
11
01
01
10
11
00
10
00
00
11
10
00
01
00
10
01
00
00
11
10
00
00
01
00
00
10
10
00
00
10
00
10
11
00
10
00
00
00
10
11
11
00
01
11
00
11
00
10
00
10
10
01
01
10
01
01
11
10
10
01
11
11
01
11
10
11
00
11
00
00
11
11
10
01
00
10
00
00
10
11
00
01
10
10
00
10
10
11
11
01
10
11
10
00
11
10
11
01
00
00
10
10
00
01
10
00
00
10
11
00
10
00
11
00
00
01
10
10
00
00
10
00
11
10
10
00
01
00
00
10
11
10
00
00
00
10
11
11
00
10
01
01
01
00
10
11
00
00
01
01
11
00
00
11
01
00
10
00
00
10
11
00
11
00
00
10
10
11
00
11
10
00
10
11
00
00
00
00
00
10
10
00
00
01
00
10
10
10
00
10
11
00
00
00
00
00
10
10
00
11
00
01
00
00
11
01
10
10
00
10
01
00
00
10
10
10
10
00
01
00
10
00
01
00
01
11
01
11
01
10
10
11
11
01
01
11
11
01
01
00
00
10
10
00
10
10
01
00
10
00
10
10
10
11
01
11
10
00
00
11
11
10
10
01
00
00
10
11
10
10
10
01
00
10
00
00
00
00
00
11
10
01
01
11
11
10
01
00
10
10
01
01
10
10
01
10
10
00
00
10
10
10
10
11
00
00
00
11
01
00
11
00
10
00
00
10
00
10
10
01
01
01
11
10
00
10
00
00
11
11
01
01
10
10
01
10
10
01
10
10
01
10
00
00
10
10
11
00
11
11
01
11
10
01
10
10
00
10
11
10
00
00
00
11
00
10
10
01
00
10
00
11
00
01
00
01
00
11
10
00
10
11
10
01
00
01
10
10
10
11
10
01
00
10
10
01
10
00
00
10
00
11
00
10
00
01
10
00
11
10
10
10
00
01
01
00
00
01
11
11
00
10
11
10
10
00
01
10
01
11
10
00
00
01
10
00
01
10
10
00
10
00
00
10
00
00
00
11
10
01
11
10
10
01
11
00
01
10
11
00
00
10
10
00
00
00
10
00
10
01
11
00
11
00
10
10
00
10
10
00
00
01
10
00
00
10
01
10
01
00
11
11
00
00
00
01
10
10
10
10
00
00
00
00
10
10
10
10
10
01
11
00
01
00
11
10
00
10
10
10
01
00
01
01
10
01
01
00
01
00
10
10
01
00
00
10
00
00
10
01
11
11
01
11
10
10
00
00
00
01
01
11
00
00
10
00
00
00
11
10
00
00
00
01
00
10
00
10
11
01
11
10
10
00
00
10
10
00
01
01
01
00
10
00
10
00
11
10
00
10
11
10
00
00
10
11
00
00
00
10
10
10
00
11
00
00
10
10
01
00
00
10
00
11
10
00
10
11
00
10
11
01
00
01
00
01
01
11
01
00
00
10
00
00
11
10
01
00
01
10
11
10
00
00
00
11
10
00
01
10
10
01
10
00
11
01
11
00
00
10
00
10
01
00
11
01
10
00
10
01
01
10
10
10
10
11
10
00
00
01
00
00
10
10
01
01
00
01
00
11
11
11
00
11
00
01
11
11
10
11
10
10
01
00
01
10
10
01
10
10
00
01
10
10
10
11
01
00
01
11
00
01
11
01
10
00
01
11
11
01
01
00
11
00
10
00
00
11
11
10
01
10
00
11
10
01
10
11
01
10
10
00
10
10
00
00
10
00
00
00
11
01
10
00
01
00
11
10
11
10
11
00
00
10
00
10
10
11
01
00
10
00
10
10
01
10
01
10
11
10
00
01
10
00
00
11
01
10
10
00
01
01
00
10
10
01
11
00
01
10
01
00
00
01
10
11
00
10
11
00
00
10
00
01
10
10
00
00
00
10
10
01
01
00
10
00
10
01
10
10
01
00
11
00
10
00
00
01
10
00
00
01
10
01
10
10
00
01
10
11
10
00
10
10
01
11
00
01
00
00
10
01
10
11
00
01
10
01
10
10
11
10
10
01
10
00
10
11
00
11
10
11
10
00
00
00
01
11
00
01
10
01
00
01
00
10
11
10
10
01
00
10
10
10
00
00
10
01
00
01
10
10
01
10
11
00
11
00
10
10
10
11
00
00
10
00
01
00
11
00
01
00
01
10
01
10
11
11
11
00
00
00
11
11
11
00
10
10
01
00
00
00
10
10
10
00
00
10
10
00
00
10
01
01
01
01
10
01
10
00
10
01
01
10
10
00
00
00
10
10
00
01
10
10
11
11
10
10
11
00
01
10
10
00
01
00
00
00
10
00
10
10
10
10
11
01
00
01
10
00
01
11
10
10
00
11
10
01
11
01
11
01
00
11
10
00
10
00
00
11
10
01
10
00
00
10
00
10
11
00
10
00
10
00
01
00
00
00
01
00
01
10
10
10
10
11
00
11
10
10
00
01
10
10
10
01
10
11
11
00
00
00
10
01
11
10
01
00
10
11
00
00
10
00
01
10
00
10
01
00
11
00
10
00
10
01
00
00
10
10
00
11
00
10
10
00
01
10
11
01
00
01
00
10
10
10
11
00
00
10
00
01
00
11
11
10
01
10
11
00
00
10
10
00
01
00
10
00
00
10
00
01
00
11
10
11
10
10
11
00
11
11
11
01
10
10
00
11
11
00
00
10
01
01
00
00
01
10
11
00
00
10
10
10
11
10
01
10
00
01
00
11
11
10
00
00
10
11
00
01
10
10
00
01
00
01
10
10
00
00
10
01
00
10
10
10
01
10
01
00
10
10
10
00
00
10
10
11
01
11
00
10
00
00
00
10
10
00
01
10
10
10
01
01
01
00
01
10
10
10
00
00
11
10
01
10
11
01
10
10
00
00
10
00
00
11
10
00
10
01
01
00
00
10
00
01
11
10
10
01
01
00
01
00
10
10
00
00
00
10
10
10
10
10
11
11
01
11
01
11
11
01
00
00
10
01
00
00
10
11
10
10
00
11
00
00
00
00
10
10
00
00
10
10
00
10
00
00
10
10
10
10
10
00
10
01
10
00
00
11
10
00
10
11
01
10
11
00
00
01
10
10
01
00
11
10
11
10
00
01
10
00
00
00
10
11
00
01
01
11
10
01
11
00
10
11
10
00
11
10
11
00
11
10
10
00
10
10
01
00
11
10
11
00
01
00
11
10
00
00
01
10
10
00
01
11
11
00
11
01
10
00
10
10
01
10
00
10
01
01
01
01
00
10
00
01
11
10
00
10
11
01
01
10
00
01
10
00
00
11
10
10
11
00
10
00
00
10
11
11
00
10
10
10
10
10
00
01
00
10
10
01
01
00
01
10
10
00
00
11
01
00
10
10
00
10
00
00
00
10
10
10
10
01
11
01
00
01
00
00
10
10
10
00
01
10
01
10
01
00
10
00
01
10
11
00
00
10
00
10
00
10
10
00
10
10
00
00
10
01
01
10
10
10
00
10
10
01
00
11
01
10
10
00
10
00
11
01
11
10
11
00
11
00
00
10
11
00
00
01
10
00
00
00
01
00
11
10
10
00
01
11
11
00
00
11
10
10
00
01
11
10
00
10
10
10
11
00
10
11
00
00
10
10
01
10
00
10
11
01
01
00
10
00
10
00
10
10
00
00
10
00
00
11
10
00
00
10
01
00
11
10
01
01
10
10
01
01
10
10
10
00
10
10
00
00
00
01
00
01
10
10
10
01
00
11
11
00
00
10
00
11
10
00
10
10
10
10
01
11
01
10
11
01
00
00
10
10
01
11
10
01
10
00
00
00
01
11
10
10
10
00
00
00
00
10
10
00
10
01
11
10
00
01
11
01
10
10
10
00
01
11
00
10
10
11
10
01
00
10
10
11
00
10
10
00
11
00
00
01
10
01
00
11
11
00
01
11
00
01
00
11
11
00
11
00
11
10
10
00
00
11
10
10
01
00
00
00
00
10
00
00
00
10
01
01
11
10
10
01
01
00
10
10
00
10
01
10
00
11
00
00
01
00
11
10
10
01
10
10
00
10
11
11
01
01
10
10
10
11
00
00
10
10
10
11
11
00
00
01
00
01
10
10
00
00
11
10
01
01
11
01
00
00
00
11
10
10
01
00
10
10
11
10
00
00
00
00
11
01
10
11
10
01
11
00
00
10
10
01
00
11
11
11
00
00
10
11
00
00
00
00
00
10
10
01
00
10
00
00
00
00
10
10
00
10
10
00
10
00
10
00
00
00
10
00
00
10
00
11
11
00
11
10
00
00
11
00
00
11
10
11
00
10
11
00
10
10
00
00
01
00
10
01
00
00
10
10
01
01
10
10
11
01
10
01
10
10
00
00
00
10
10
01
11
11
11
10
01
10
01
10
10
00
00
11
10
10
01
01
01
00
10
00
11
10
01
11
10
10
00
00
11
00
11
10
01
00
10
11
00
00
01
10
11
00
00
11
10
00
10
00
00
11
10
00
01
01
11
00
10
11
00
00
10
11
00
00
00
11
10
11
00
00
10
10
10
00
11
00
10
01
01
00
01
10
01
01
10
00
11
11
00
11
00
00
00
10
11
11
10
01
10
01
11
01
00
11
10
00
10
10
00
00
00
10
10
00
11
10
10
01
10
11
00
10
00
10
10
00
01
10
10
00
11
10
01
11
10
01
11
00
01
00
11
10
00
00
11
11
00
11
10
00
00
10
00
00
01
00
11
10
01
00
00
00
10
10
01
11
11
10
01
00
00
01
00
00
10
10
01
10
01
01
11
00
10
00
11
11
11
01
01
10
10
01
10
10
00
00
10
00
00
11
10
01
00
00
10
10
00
11
01
00
10
10
10
00
00
10
10
00
10
00
00
11
00
11
00
10
10
00
10
00
10
11
11
00
01
10
11
10
01
10
10
01
00
11
01
10
01
00
10
00
00
00
10
10
10
00
00
00
11
11
10
01
10
01
00
10
00
11
01
00
00
00
11
11
10
11
10
10
10
10
00
10
11
00
00
00
10
10
10
00
00
10
10
00
10
10
00
01
10
01
00
10
11
10
10
01
00
10
11
11
11
10
10
11
00
00
10
00
01
10
00
01
10
10
01
00
01
01
10
10
10
00
00
11
10
01
10
10
11
00
11
01
00
11
10
10
00
10
10
11
10
00
11
11
01
00
01
10
01
10
01
00
00
10
10
00
01
10
11
10
01
10
00
00
00
11
10
00
00
00
10
10
10
10
10
10
11
10
00
00
01
00
11
00
10
10
00
00
11
00
00
11
10
00
10
10
00
01
10
00
00
10
11
01
00
00
10
01
00
10
00
01
00
10
01
11
10
00
00
00
00
10
11
10
00
10
10
00
11
10
00
10
00
10
10
00
11
01
00
00
10
00
10
10
00
00
00
10
01
00
00
11
10
01
00
10
00
10
00
11
10
00
10
01
11
01
10
10
01
01
11
10
10
01
00
00
01
11
10
00
01
11
11
00
10
10
00
11
01
10
10
00
00
00
11
01
10
00
01
10
11
10
00
00
11
00
10
10
01
00
10
00
10
10
10
11
00
00
10
10
00
10
10
00
00
11
11
00
10
10
00
11
11
10
01
11
00
00
00
00
10
10
01
11
01
01
10
11
00
01
01
11
10
11
00
01
01
01
11
01
00
10
10
00
00
11
10
00
00
00
10
00
11
11
10
01
00
01
10
00
11
10
10
01
00
00
00
10
10
00
10
10
10
10
11
00
00
00
01
10
10
01
00
00
10
11
11
00
00
10
01
10
10
00
01
01
10
11
10
01
00
10
00
00
00
10
00
10
10
01
10
00
00
00
11
10
11
00
01
00
00
00
01
01
11
10
10
00
00
00
11
10
01
00
11
00
10
01
00
11
10
01
00
01
01
00
00
10
10
10
10
10
00
00
01
01
10
11
10
11
00
00
00
10
10
00
10
10
11
01
11
10
00
01
00
01
00
10
01
01
10
00
00
01
01
10
10
10
11
10
01
00
11
10
00
01
10
10
00
00
10
01
10
01
10
01
00
00
11
10
11
00
10
00
10
01
00
10
00
01
10
01
00
11
11
00
00
00
00
10
11
00
01
00
10
10
01
01
10
00
00
11
00
10
11
10
01
00
10
01
01
00
11
10
00
10
01
10
10
00
00
10
00
01
10
10
10
11
11
10
11
00
01
10
01
00
10
00
10
10
10
10
01
10
11
10
00
10
10
11
10
11
00
00
10
00
10
00
00
10
10
00
00
01
10
11
10
01
10
01
01
00
11
00
10
10
00
00
11
01
01
10
10
01
00
00
10
01
00
11
10
10
10
10
10
00
01
00
00
00
01
01
10
10
10
10
10
11
11
01
01
01
10
11
00
10
00
10
00
00
01
11
11
10
11
00
01
10
01
00
01
11
10
11
11
11
00
00
00
10
01
10
10
00
10
11
10
00
00
10
10
10
01
10
00
00
11
10
01
00
00
00
11
01
11
00
00
01
11
11
01
00
10
11
00
11
00
00
10
01
00
00
10
10
11
00
01
10
10
11
00
01
11
10
00
10
00
10
00
00
11
01
11
11
00
11
00
00
01
10
10
00
01
11
00
00
10
11
10
01
00
00
11
00
11
00
11
10
11
00
00
11
11
00
00
10
10
10
00
00
11
10
00
00
10
01
11
00
00
11
01
00
00
11
10
00
00
10
00
00
11
00
01
10
00
10
10
10
10
10
00
01
00
00
10
11
11
00
11
11
00
11
11
01
10
11
10
00
11
00
10
00
11
10
00
11
01
10
00
00
11
11
01
00
11
00
10
10
01
10
10
00
00
10
11
10
00
01
10
11
00
01
01
00
01
00
00
10
10
01
00
00
00
00
10
00
00
10
00
01
10
10
10
11
10
10
10
11
10
10
10
10
00
00
00
00
00
10
10
11
11
01
10
11
00
01
10
10
10
01
00
00
10
10
11
01
10
00
01
10
11
01
11
01
00
10
11
10
10
10
00
10
01
11
11
11
10
00
00
00
01
00
11
11
00
10
01
00
01
10
10
01
10
00
11
00
11
11
00
11
10
10
10
00
00
00
11
10
10
00
00
11
00
00
10
11
01
10
11
10
10
00
00
01
10
01
00
10
10
01
00
00
10
00
10
01
01
10
11
10
10
00
00
11
00
00
10
01
00
11
10
00
11
10
00
00
10
10
10
00
01
00
00
10
00
00
10
11
10
01
00
11
01
10
10
00
10
10
10
10
10
10
00
01
11
10
10
11
00
10
00
10
01
01
11
00
01
00
00
01
11
11
10
00
11
10
00
10
10
00
00
11
01
00
11
10
10
10
10
01
10
11
01
10
10
10
10
01
11
11
10
00
11
10
10
01
01
01
11
11
00
10
00
01
11
10
00
11
10
01
10
00
11
11
01
00
00
01
10
10
00
00
11
00
11
10
00
00
00
11
10
10
00
10
10
00
11
11
11
11
11
01
00
10
10
00
00
10
10
10
00
00
10
11
00
11
11
10
11
10
10
01
01
10
10
11
01
00
01
10
00
10
10
01
00
00
10
00
11
10
01
00
00
00
00
10
10
10
01
11
10
00
11
00
10
01
10
00
00
10
00
11
01
00
00
10
00
11
00
00
10
10
01
11
10
00
00
01
00
00
01
00
10
10
00
00
10
11
01
01
00
00
11
00
11
00
10
10
00
00
01
00
10
11
00
10
00
00
10
00
00
10
00
01
01
01
11
00
00
10
01
10
11
00
00
10
10
00
10
11
00
01
11
10
01
11
11
00
10
11
00
11
11
10
01
00
10
00
11
11
11
00
01
00
01
00
10
11
01
00
10
11
01
00
01
10
10
01
00
11
00
00
00
00
11
00
00
11
10
10
10
00
00
11
10
01
00
10
10
11
00
00
00
01
10
00
00
10
00
10
11
01
10
10
00
10
00
10
00
10
10
00
00
00
10
10
01
00
00
00
00
10
00
10
00
10
00
11
00
10
10
01
00
10
00
00
00
01
00
11
10
11
00
00
11
10
11
00
00
01
00
11
10
10
01
00
00
10
01
01
00
10
11
01
11
11
11
11
00
01
10
11
01
01
10
00
00
10
00
01
10
10
00
00
11
00
00
01
11
10
00
00
10
10
00
10
00
10
10
00
00
10
00
00
00
10
10
10
11
10
11
10
10
00
00
00
10
00
00
00
10
10
00
00
10
10
00
01
10
01
01
00
01
10
01
00
10
10
10
00
00
11
10
10
00
01
10
00
01
11
00
10
01
00
00
00
10
00
01
10
10
11
00
01
10
01
10
10
01
00
01
11
00
01
00
00
01
10
10
00
00
11
10
00
11
10
10
00
00
01
10
10
01
10
10
00
10
11
11
00
10
00
00
01
10
00
10
01
00
10
11
00
01
10
00
11
11
00
10
00
01
01
11
11
01
01
11
01
10
10
00
00
10
10
01
10
00
00
00
00
00
10
00
01
00
01
11
01
11
11
00
00
00
11
11
00
01
10
10
00
01
10
10
11
00
00
00
01
00
10
10
10
01
00
01
00
01
10
10
00
01
00
10
11
01
11
00
10
00
00
10
10
10
00
00
10
10
00
01
01
00
00
10
00
11
11
01
10
01
10
10
10
10
01
00
01
00
00
00
10
10
00
10
10
00
00
10
10
00
10
11
10
00
01
00
10
00
10
10
11
10
00
11
10
01
00
10
10
11
10
00
10
11
01
01
00
10
10
10
11
00
01
10
10
10
01
00
10
00
00
00
00
10
11
11
00
11
10
10
11
11
00
00
10
10
10
10
01
01
10
01
10
00
00
11
01
00
10
10
10
10
11
00
10
00
00
10
00
10
01
00
11
00
10
01
00
01
11
01
00
10
00
00
00
10
10
00
00
10
00
10
00
00
00
00
10
00
10
00
10
00
00
01
01
01
00
01
01
10
00
10
10
00
10
10
00
00
11
10
01
01
10
10
10
10
00
00
11
00
00
01
01
10
10
11
00
10
11
10
00
00
01
10
01
00
10
10
00
00
00
10
10
01
00
01
10
10
10
10
11
11
00
11
01
10
01
00
00
11
10
00
00
01
10
10
00
10
01
10
01
10
01
10
10
10
00
10
11
11
01
11
10
10
11
10
10
00
00
11
10
01
10
01
11
00
00
00
10
01
00
10
00
10
11
10
00
00
00
10
11
10
00
00
10
11
01
11
10
10
01
00
00
10
10
01
10
11
00
00
10
00
10
10
00
01
10
00
11
10
01
00
00
10
00
10
10
01
00
10
10
01
10
00
10
11
10
01
00
10
00
00
01
10
00
00
10
10
10
11
00
10
10
00
01
10
10
00
00
10
11
11
11
01
11
11
11
00
00
00
01
00
11
10
01
11
00
10
11
00
00
10
00
10
00
01
11
10
01
01
01
10
11
11
00
01
10
01
00
10
10
10
00
11
00
00
10
10
00
10
00
01
10
01
01
00
11
11
10
00
01
10
10
10
00
00
10
00
01
10
11
01
10
11
00
01
11
11
01
00
00
10
00
00
01
10
11
00
00
00
10
11
10
00
10
11
00
00
00
01
00
11
10
10
01
00
00
11
10
11
00
10
10
10
00
10
00
00
10
10
00
10
10
10
01
10
00
00
10
10
00
00
11
00
11
10
01
00
00
10
01
00
11
10
10
01
10
01
00
01
10
01
10
00
00
10
10
00
10
10
10
00
00
11
01
01
10
00
10
10
00
10
00
00
00
00
10
00
00
10
00
00
10
00
10
00
00
00
10
00
10
01
00
10
11
11
00
00
10
11
11
11
10
00
00
11
11
10
00
11
10
10
00
01
01
01
00
10
00
01
11
01
00
10
00
01
00
11
01
01
00
10
00
10
00
00
10
00
10
01
01
11
00
00
10
00
10
01
01
11
10
10
01
00
00
10
01
00
00
00
10
11
00
01
00
00
01
11
00
00
11
11
00
01
00
10
00
10
11
01
10
10
11
01
10
10
00
00
00
10
00
10
11
00
01
10
10
00
10
00
10
00
00
01
10
00
10
11
01
10
01
00
10
10
01
00
01
10
01
10
00
00
00
11
11
00
10
10
00
10
11
11
11
00
00
11
00
00
00
10
01
01
00
00
00
10
00
01
10
01
10
11
10
01
11
00
00
10
11
10
00
00
10
10
00
00
11
10
00
10
10
01
10
01
00
01
10
01
00
10
11
01
01
01
10
01
01
11
01
10
10
10
00
00
10
10
00
00
10
01
00
00
01
00
01
00
10
10
00
11
11
10
01
11
11
01
00
00
10
11
00
11
11
01
00
11
00
01
11
10
01
10
01
00
11
10
01
00
01
00
10
00
01
10
10
01
00
11
11
11
10
11
01
00
00
11
01
00
11
11
00
00
00
10
10
01
00
00
00
00
10
00
00
00
11
01
10
01
00
10
11
11
00
00
11
10
00
00
11
00
00
10
10
10
00
00
00
10
00
00
11
00
10
11
01
10
01
10
10
10
00
01
10
10
00
11
11
00
11
10
00
00
00
10
10
11
01
01
01
10
01
10
11
01
01
10
10
01
00
00
11
00
00
11
10
00
00
11
00
10
10
00
10
00
10
00
11
00
00
11
10
10
10
00
00
10
00
00
10
10
10
01
00
11
10
10
00
00
10
10
10
01
00
00
00
00
10
00
10
10
00
00
00
00
10
00
00
10
10
01
00
01
00
00
10
10
10
10
10
10
10
00
01
01
00
11
00
11
11
01
01
11
00
00
10
11
11
00
01
00
10
01
11
01
10
11
00
11
10
10
00
10
00
00
00
10
00
10
10
11
10
00
00
10
01
00
10
00
10
10
00
11
10
10
11
01
01
10
11
01
00
10
10
00
11
10
01
01
00
10
01
01
10
00
10
00
00
10
10
11
10
00
10
00
01
10
00
11
00
11
00
00
00
01
10
01
11
10
00
00
00
00
10
10
00
10
00
01
11
11
10
00
01
00
10
00
11
10
10
10
01
00
10
10
00
01
11
10
00
10
10
10
00
00
00
00
00
00
00
00
01
00
00
11
00
11
01
11
10
00
00
10
01
00
10
10
11
11
00
00
01
10
10
00
10
00
00
00
10
11
00
10
00
10
10
10
00
01
00
10
01
00
10
00
00
11
00
10
01
10
11
10
11
10
10
10
10
01
10
01
00
10
01
01
11
10
00
10
00
00
00
10
10
00
10
10
00
11
10
01
11
10
10
10
01
11
00
00
10
01
10
11
00
00
00
00
00
10
00
00
01
11
00
00
11
10
00
00
10
10
11
10
00
01
10
01
10
00
01
10
10
01
01
10
10
00
00
11
01
10
11
10
00
01
00
01
00
10
11
10
01
10
11
00
10
10
01
01
11
10
01
11
10
01
11
01
00
10
00
00
01
10
10
00
01
10
10
00
00
01
00
00
00
10
00
01
10
10
11
10
01
10
01
01
11
10
00
10
10
00
01
10
11
00
11
11
00
10
11
10
00
10
10
00
10
10
00
01
11
00
01
00
10
10
10
10
00
10
10
10
11
10
00
01
10
01
11
10
01
01
10
00
10
10
10
00
10
00
00
10
01
00
10
00
10
00
00
11
10
11
00
11
01
00
11
10
00
10
00
00
01
00
10
10
00
01
00
01
10
10
01
11
01
11
00
00
00
11
10
00
00
00
10
11
10
00
10
10
00
10
00
10
10
10
10
10
10
01
10
10
10
00
01
01
11
00
11
11
00
01
00
00
10
00
10
11
00
00
01
10
01
00
00
10
10
10
01
01
10
11
01
00
11
10
10
00
11
00
10
10
00
10
10
00
01
10
10
11
10
00
11
10
01
10
00
10
01
00
00
00
11
10
01
00
01
01
00
10
11
10
10
00
10
10
00
00
01
10
10
11
00
01
11
00
00
01
10
01
10
10
00
00
11
10
01
00
00
10
11
00
10
11
01
01
00
00
10
10
00
01
00
10
10
11
00
11
10
10
00
10
00
00
10
10
10
11
10
10
01
10
01
11
10
01
01
11
00
10
10
10
00
00
00
01
00
00
10
01
10
11
00
01
00
01
11
10
00
00
10
10
00
11
10
01
00
00
00
01
01
10
00
01
00
01
01
11
10
00
11
11
00
10
00
00
00
00
10
11
10
00
00
10
10
10
00
00
11
11
00
10
10
01
10
11
00
00
10
10
01
10
10
01
00
10
00
01
10
00
01
00
00
01
11
00
10
10
10
10
10
11
00
11
01
00
10
00
11
00
11
10
00
11
00
10
11
10
00
10
11
00
11
00
01
11
01
01
00
00
10
10
00
00
10
01
10
10
00
11
10
10
11
00
10
10
01
00
11
00
11
01
10
00
01
00
00
01
11
10
00
00
11
00
01
10
00
10
11
11
11
10
01
00
01
10
01
01
10
10
11
10
00
11
10
10
00
10
00
00
00
00
00
00
11
11
10
11
00
10
10
01
10
00
00
00
00
11
01
10
01
00
00
00
11
00
00
00
10
01
10
10
00
11
10
10
10
00
00
11
00
01
10
00
00
10
00
10
01
01
00
10
00
10
00
00
11
00
10
00
00
10
01
10
01
10
11
10
00
10
01
00
10
10
01
00
01
01
10
00
10
10
10
11
01
01
11
00
00
10
00
00
00
10
11
01
00
10
11
11
10
00
01
10
10
10
00
01
01
11
10
00
00
00
00
00
01
11
11
11
10
10
10
01
00
11
10
00
01
10
10
00
00
10
10
00
00
00
10
10
10
10
10
10
00
10
10
10
10
11
00
01
00
10
10
00
00
10
10
01
11
01
01
10
01
00
00
11
00
01
11
00
01
10
11
00
11
10
01
00
11
01
10
00
00
00
11
10
00
01
10
10
00
00
00
00
10
00
10
11
11
00
10
00
00
10
11
10
00
01
01
00
01
10
10
00
00
00
10
10
00
10
01
10
00
00
00
10
10
01
00
11
00
00
11
01
11
00
11
10
00
00
00
10
00
01
10
00
11
11
01
10
10
01
10
10
10
10
00
00
00
01
00
10
01
10
00
01
00
00
00
10
10
11
00
00
00
10
11
10
10
10
01
00
11
01
00
10
10
10
01
00
11
10
00
00
10
11
11
11
00
01
10
10
00
01
10
10
00
00
01
11
01
00
10
01
10
00
00
11
00
10
00
00
11
01
00
10
10
11
11
01
01
10
00
00
00
00
00
11
11
00
01
00
10
10
10
00
10
10
01
00
00
11
01
10
00
10
10
10
00
01
00
11
00
10
11
10
10
11
10
01
10
10
00
10
10
01
01
11
11
00
00
00
00
01
01
10
10
10
10
00
10
00
11
10
00
00
10
10
11
00
00
11
00
01
10
10
10
01
10
00
01
11
11
00
01
00
00
10
01
00
10
11
10
10
11
11
10
10
11
11
10
10
00
01
10
00
11
11
00
00
11
01
01
11
00
00
11
10
00
00
11
10
01
10
11
00
11
00
00
00
11
10
01
01
10
10
10
01
00
01
10
10
00
00
00
10
00
11
00
00
00
10
00
10
10
00
10
10
01
10
10
11
00
00
10
01
00
00
11
11
10
11
10
01
00
00
10
00
00
10
11
01
00
00
00
00
11
11
01
11
10
01
10
11
00
10
11
01
10
11
10
01
01
11
01
00
00
10
01
10
11
11
10
00
00
01
00
00
10
00
00
10
00
10
00
10
10
00
00
01
10
00
00
00
01
11
10
00
01
01
10
10
00
10
10
10
00
00
10
10
00
10
00
01
11
00
00
01
00
10
10
00
10
10
11
10
11
01
11
01
10
00
00
11
01
10
10
00
00
11
00
10
10
10
00
10
00
00
01
10
00
11
10
00
00
01
10
10
00
01
11
11
10
01
00
11
00
11
00
01
01
11
11
10
00
00
10
11
11
00
00
00
11
11
00
01
10
10
00
00
01
10
11
00
01
00
01
00
10
11
00
01
10
11
01
01
00
10
00
10
10
10
10
00
10
10
01
00
11
00
10
01
00
01
00
11
00
00
01
11
00
00
10
10
10
00
11
10
00
00
00
00
10
10
00
10
00
01
00
11
10
11
00
00
11
00
10
00
10
10
11
10
00
01
10
11
01
10
00
01
10
00
11
01
10
10
10
00
00
10
10
10
00
00
11
10
00
01
10
00
11
00
00
10
11
00
01
00
10
00
00
00
00
00
11
00
10
11
10
11
11
01
00
01
10
10
10
01
01
10
00
00
00
00
00
10
11
00
10
00
01
11
00
01
00
10
00
10
11
10
01
00
10
10
00
00
11
11
10
00
00
00
00
10
11
01
11
11
10
00
00
01
10
10
00
00
11
00
10
10
10
01
10
01
10
00
00
00
01
00
00
11
11
11
10
01
10
00
00
11
00
00
10
11
10
01
00
00
11
00
00
00
10
00
11
01
00
00
00
10
10
00
11
01
10
10
00
10
10
11
01
00
10
11
01
00
00
10
01
10
00
01
10
00
10
01
01
11
10
11
00
00
01
10
10
00
00
11
01
01
10
00
01
01
01
00
01
10
11
00
00
10
10
00
00
00
11
10
00
10
10
11
11
10
01
00
11
00
10
00
10
01
10
01
11
00
00
11
11
00
01
10
00
10
10
00
00
11
10
10
00
10
00
00
11
10
10
01
11
00
11
00
00
00
00
00
10
11
10
11
10
01
01
01
10
00
00
10
10
10
00
00
00
11
01
01
10
10
00
00
00
11
11
11
01
00
01
10
10
10
00
00
00
00
10
00
01
11
10
01
11
00
01
00
10
01
01
10
10
00
00
01
10
10
00
10
10
10
11
00
00
10
00
10
11
01
10
11
00
10
01
10
11
10
01
00
00
10
11
10
00
00
00
10
11
11
10
10
10
00
10
10
00
01
10
00
00
10
10
01
10
01
00
10
10
00
00
10
10
10
10
01
00
00
10
01
11
10
10
10
11
10
01
10
00
00
10
00
01
00
11
10
01
01
11
01
00
00
00
10
11
11
01
00
10
10
00
10
10
00
01
10
10
00
01
00
00
10
10
10
11
11
10
01
00
10
10
10
01
11
01
00
00
00
01
11
00
00
11
01
10
01
11
01
10
10
10
10
10
00
01
01
10
10
10
01
11
01
10
11
01
10
00
11
10
00
00
11
00
00
10
00
00
00
10
10
01
00
00
10
11
10
00
01
00
10
01
10
10
01
00
11
01
00
10
11
11
10
11
11
01
10
00
11
00
00
00
00
10
00
11
11
11
10
10
00
01
00
10
00
00
11
10
10
10
10
11
10
10
10
01
10
01
00
10
00
11
01
01
10
11
01
10
00
00
11
10
01
10
11
11
11
01
00
11
10
11
01
01
10
11
00
00
10
10
01
00
10
01
10
11
10
10
00
10
00
00
00
11
10
00
01
01
00
11
01
00
11
00
00
01
00
10
00
00
10
01
01
10
01
01
10
10
11
00
00
10
11
00
00
10
10
01
00
10
10
11
01
01
00
01
00
00
10
10
10
10
01
01
10
11
00
10
11
01
10
01
10
10
01
01
00
11
10
00
10
01
10
00
10
10
01
00
10
01
10
10
00
10
00
11
10
01
10
00
01
00
00
10
01
11
11
10
10
10
10
01
00
11
01
10
00
10
10
00
10
00
10
10
11
10
01
10
10
11
11
00
11
10
01
10
01
00
00
11
10
01
11
01
00
01
00
10
00
00
10
10
00
11
10
01
00
10
01
00
00
11
10
10
00
00
00
00
10
00
00
10
00
11
11
00
11
10
01
10
11
00
10
10
11
11
00
00
01
10
00
11
10
01
00
00
11
00
00
01
00
10
00
10
10
10
00
01
01
10
00
00
10
10
01
01
10
00
00
10
00
01
10
00
10
00
11
01
01
01
11
10
01
10
11
00
00
00
10
00
00
11
10
01
01
10
00
00
01
11
00
10
10
10
00
00
01
00
10
01
00
10
10
10
10
10
01
00
01
10
01
00
10
10
11
11
00
01
10
00
10
11
10
00
00
00
00
10
10
00
10
10
10
00
01
01
10
01
10
00
11
00
00
10
10
10
00
00
10
00
00
01
10
10
10
00
00
01
10
00
10
00
00
10
00
10
11
01
10
10
10
01
01
10
10
01
00
01
10
10
00
01
10
00
10
11
01
10
11
01
11
00
10
01
11
10
00
00
10
00
01
11
10
10
11
11
01
10
10
01
01
10
00
00
00
10
00
11
11
11
11
10
01
10
01
10
00
00
11
10
00
11
10
10
11
10
01
01
11
00
10
00
10
01
11
01
00
00
10
10
00
10
10
00
01
10
10
11
11
00
10
10
10
01
11
00
10
10
01
01
10
00
00
10
10
01
01
00
10
10
01
00
01
11
10
11
01
00
11
01
00
11
00
00
00
10
10
10
10
01
00
10
01
01
10
00
00
10
11
10
10
00
01
11
10
11
00
00
00
11
11
11
11
10
00
01
00
10
10
00
00
10
10
11
00
01
10
00
10
11
01
11
00
01
11
10
10
00
00
10
10
01
00
01
00
10
10
00
10
10
11
00
10
10
00
10
11
00
11
01
00
11
00
10
00
10
11
01
01
11
01
00
10
11
00
00
10
11
10
01
00
01
00
00
10
10
00
00
00
11
00
01
01
00
00
00
10
10
01
00
11
11
00
10
10
11
10
00
01
10
00
01
11
11
01
11
10
00
10
00
00
11
00
00
00
00
11
11
00
01
01
11
11
01
11
10
01
00
01
10
11
10
00
01
00
10
10
10
11
00
11
00
10
10
11
00
10
01
01
00
11
01
01
10
00
01
10
11
00
11
10
10
00
01
00
10
11
00
10
01
10
00
11
01
01
10
10
10
10
10
00
00
00
11
10
00
00
00
10
00
11
10
11
00
00
00
10
00
10
00
00
10
01
00
10
00
00
10
10
10
00
00
11
11
10
10
10
00
01
00
10
10
10
11
10
11
00
10
10
00
00
01
00
10
01
00
11
00
00
11
01
00
10
10
00
11
11
00
11
10
00
00
10
00
10
11
00
10
10
10
11
00
11
10
01
00
00
10
10
01
00
00
01
00
10
10
11
01
01
00
10
00
10
00
10
10
01
00
10
11
10
00
10
00
00
00
10
10
00
10
10
11
10
00
00
00
10
11
11
10
10
10
00
01
10
00
10
00
00
10
10
00
00
11
10
00
10
10
00
00
11
01
11
00
11
01
10
10
00
10
10
10
10
00
00
00
10
00
11
10
01
10
00
01
10
11
00
11
01
10
10
00
00
10
11
11
00
00
11
11
00
11
11
01
00
10
01
10
10
00
00
10
10
00
10
10
01
00
10
11
01
00
10
00
00
01
01
11
11
00
00
00
11
10
11
10
01
00
10
10
10
10
10
00
01
00
00
10
11
01
00
10
10
11
10
11
00
10
11
00
10
00
00
10
10
00
00
11
10
10
10
10
10
00
10
01
00
01
01
00
11
10
00
00
00
10
10
11
00
00
00
00
11
10
10
10
11
00
00
00
01
10
11
00
10
01
01
00
11
01
01
00
00
10
10
00
01
00
11
11
10
10
00
00
01
01
11
10
01
10
10
10
01
00
00
11
11
10
01
10
10
10
00
00
10
10
00
10
11
10
10
00
00
10
10
10
01
00
10
10
00
11
00
01
10
10
10
11
00
00
11
10
10
00
11
00
10
10
00
00
01
10
11
10
10
00
11
00
10
11
00
01
10
11
00
01
00
10
01
00
11
11
01
00
10
01
00
00
10
11
00
01
00
00
11
10
00
10
11
00
01
00
00
10
00
00
11
00
00
10
10
00
00
00
00
11
11
01
10
10
01
00
10
01
01
10
01
11
10
11
10
10
00
01
01
00
10
00
11
10
10
00
01
00
10
01
10
11
00
01
00
00
00
10
00
01
01
00
01
00
10
11
01
10
10
10
00
10
01
00
10
10
10
10
00
10
11
00
00
10
00
10
00
00
00
11
00
11
00
00
10
10
01
11
11
10
10
00
10
10
10
00
01
11
00
01
00
10
10
01
10
10
11
10
01
10
10
00
11
01
00
10
10
00
00
11
01
00
11
10
11
11
00
00
10
00
00
01
10
11
10
00
00
10
11
01
11
11
00
00
00
01
00
01
10
10
10
00
10
11
00
10
10
10
00
00
10
01
10
00
01
10
01
00
00
10
01
00
10
01
11
00
00
11
10
00
00
01
01
01
00
10
01
10
00
00
10
10
01
10
01
01
11
01
00
10
11
10
00
00
10
00
00
11
00
01
00
10
11
10
01
01
11
01
01
10
11
10
11
10
00
01
11
00
00
01
00
01
00
01
00
11
11
01
11
11
00
11
10
10
10
00
00
11
11
01
10
01
11
10
01
10
11
00
10
10
10
01
01
10
10
00
11
10
11
00
00
10
01
00
10
11
00
11
00
10
11
01
01
10
10
00
11
00
10
10
10
00
00
11
00
11
10
00
10
10
00
00
01
00
00
10
11
10
10
00
10
10
10
11
00
10
00
00
00
10
10
00
10
01
11
01
00
11
01
10
10
01
11
10
00
00
10
00
00
00
00
00
01
10
10
00
11
10
00
00
10
00
00
00
00
10
10
10
10
10
10
00
00
10
10
11
10
01
00
11
10
10
00
00
10
10
00
00
11
01
00
01
01
10
00
00
11
10
11
00
00
10
00
11
01
10
10
00
10
10
01
00
00
10
10
00
10
10
00
01
11
01
10
11
10
01
01
11
01
11
00
00
00
10
10
00
01
10
00
00
00
01
10
00
10
10
00
01
10
10
10
11
10
01
11
10
00
10
00
00
00
10
10
01
01
10
10
10
01
00
11
00
01
00
00
01
10
01
00
00
10
10
11
00
11
11
01
01
11
01
01
00
10
00
00
11
00
01
10
10
10
10
01
01
10
01
00
11
00
10
01
00
10
11
10
01
00
11
10
10
10
00
01
10
00
01
01
01
01
11
11
00
00
10
10
00
01
10
10
00
10
10
10
01
00
00
00
00
10
00
00
10
00
10
01
10
10
00
11
10
01
10
10
01
00
01
10
10
01
10
10
10
01
00
11
00
00
10
10
10
00
00
11
00
01
00
10
01
00
11
11
10
01
10
01
10
11
01
10
10
00
00
11
11
00
10
01
00
10
10
00
00
10
10
01
11
10
10
11
10
00
01
01
00
11
00
00
10
10
11
00
01
10
00
11
00
10
00
10
10
11
01
00
00
00
00
10
10
01
00
11
10
10
10
11
00
01
01
10
00
11
10
00
10
10
00
10
00
00
10
11
01
11
00
00
01
11
10
00
10
11
00
10
01
01
10
11
00
00
11
10
01
00
01
10
00
01
10
11
01
00
00
00
01
10
11
00
00
00
10
10
10
00
00
10
00
00
00
00
00
00
01
10
10
00
10
00
11
00
10
00
11
11
10
10
01
00
10
10
01
11
11
00
00
10
01
00
00
00
11
10
00
10
01
10
10
01
00
11
10
10
00
10
10
11
00
00
10
11
10
10
00
10
10
00
00
00
11
10
01
01
01
11
01
00
10
00
00
01
10
10
00
11
10
10
01
00
01
11
10
10
10
01
10
01
00
00
10
11
01
10
00
00
10
00
11
10
00
00
10
00
00
11
10
11
10
10
00
10
11
00
10
10
00
00
10
11
00
10
01
00
10
10
10
00
00
10
10
00
11
00
10
10
01
00
11
01
01
10
01
10
00
11
10
00
01
01
10
10
01
00
01
10
10
00
00
10
11
10
01
10
00
11
00
10
10
10
11
10
00
00
00
01
10
10
10
01
00
00
10
11
00
00
00
10
00
11
00
01
11
11
00
11
00
00
10
10
00
00
00
11
10
10
10
11
00
10
10
10
00
00
01
11
10
01
10
00
11
00
00
01
01
10
11
10
11
01
00
11
10
00
00
10
10
00
00
10
01
11
00
00
00
01
11
11
01
01
11
10
00
00
11
01
00
10
10
00
11
11
01
10
10
10
00
00
10
00
00
11
11
10
00
00
10
00
00
00
10
10
00
01
00
11
10
00
01
10
11
00
11
10
01
01
10
11
01
00
10
11
01
10
11
00
10
10
00
00
10
00
00
10
10
00
01
10
01
00
10
10
11
01
10
10
01
00
11
11
00
10
10
11
01
00
01
00
10
11
00
00
10
10
01
10
10
00
11
00
00
11
10
11
00
10
10
00
00
11
10
00
01
11
10
00
10
00
10
10
00
10
00
10
11
00
00
10
11
01
01
00
11
00
10
11
00
00
10
00
00
00
10
11
10
10
10
01
10
10
00
00
00
00
01
10
10
00
01
00
00
00
10
01
11
10
11
00
10
00
00
11
10
11
01
10
01
11
10
11
10
10
00
00
11
00
00
10
00
10
10
11
00
11
10
00
00
10
10
00
11
10
10
11
11
11
10
00
10
00
00
11
00
00
00
00
10
10
10
00
00
01
11
10
00
01
00
01
00
00
10
00
00
10
10
01
11
01
11
10
10
00
10
00
01
10
10
01
10
01
00
10
01
11
01
01
10
11
10
00
10
00
00
00
00
11
10
11
00
11
11
11
10
11
00
01
10
10
00
00
11
00
01
10
10
10
01
10
11
10
00
11
00
00
11
10
01
10
00
00
00
10
00
01
11
11
00
00
00
01
10
11
10
00
00
10
00
10
10
00
01
00
00
10
10
10
10
10
11
10
00
00
00
00
01
10
11
10
10
01
11
10
11
00
00
00
00
11
10
00
00
10
00
11
11
00
10
00
01
00
00
10
11
00
00
00
10
00
10
00
11
10
01
00
01
10
00
00
10
00
00
01
01
11
10
10
01
10
00
10
01
01
10
10
10
01
10
00
11
11
10
00
11
00
10
11
00
10
10
00
00
01
10
11
11
01
11
00
00
10
00
11
11
11
00
10
00
11
10
01
10
10
10
10
10
00
00
10
10
00
11
11
01
01
10
10
01
00
00
00
11
10
10
01
00
10
00
00
01
10
10
10
01
01
11
00
00
11
11
10
11
01
00
10
10
10
00
11
10
00
10
10
00
11
10
11
01
01
10
10
01
01
00
11
10
11
00
00
00
10
10
00
01
11
01
11
11
10
11
10
00
00
11
11
10
01
00
00
00
10
10
10
10
10
00
00
10
10
01
01
01
10
10
00
01
10
01
01
11
10
01
01
10
10
00
10
11
00
01
01
01
10
00
00
10
01
00
11
10
00
01
10
10
00
00
00
10
00
10
00
01
00
00
10
10
11
10
00
00
01
01
00
00
00
10
11
11
10
00
01
10
10
11
10
00
01
10
01
00
00
11
10
00
00
11
11
00
01
10
10
11
11
00
10
00
00
11
00
10
10
10
10
10
00
01
01
10
10
10
01
00
11
11
00
00
11
01
01
10
10
11
01
11
11
01
01
10
10
11
10
10
00
00
10
00
00
11
10
00
00
00
10
00
01
10
01
00
01
10
00
01
10
01
10
10
00
10
10
11
00
00
10
11
10
01
01
11
11
00
11
00
00
10
10
01
01
00
00
11
01
10
00
10
01
10
10
10
01
01
01
10
00
10
11
00
10
10
00
01
10
11
00
10
10
10
11
10
00
01
10
00
00
00
11
00
10
01
00
11
01
11
11
10
00
10
11
00
00
10
10
00
10
00
10
10
01
00
10
00
10
10
10
00
10
10
01
00
00
11
11
00
01
11
01
10
00
10
01
00
10
01
01
10
11
00
11
11
10
00
00
01
10
11
11
00
00
11
00
00
00
10
00
10
10
00
01
01
10
11
00
10
00
10
11
10
00
01
10
01
10
00
00
00
10
11
10
01
01
01
00
00
00
11
10
11
00
00
10
00
01
10
10
00
11
00
00
01
00
01
00
00
10
01
00
00
10
11
00
11
01
00
00
11
00
00
10
10
10
01
01
10
01
00
01
10
00
11
10
10
00
01
11
11
11
01
11
10
11
10
01
00
11
11
01
01
10
10
00
10
11
00
00
10
11
01
11
11
00
00
10
00
00
00
10
11
10
00
01
10
10
10
10
00
00
10
00
10
10
01
10
10
11
11
00
10
11
01
00
00
00
11
01
01
11
10
10
00
00
11
00
01
11
01
10
01
10
00
10
00
01
10
10
00
01
11
10
00
00
10
10
10
10
00
10
00
10
11
00
10
10
00
11
10
10
00
10
11
00
00
00
10
11
10
00
01
10
10
00
10
10
10
00
00
11
00
01
01
10
10
00
11
10
11
00
00
00
11
10
00
01
10
00
00
00
11
10
11
01
10
10
10
10
00
10
00
01
10
00
00
00
10
10
00
10
00
10
00
10
10
11
10
01
01
00
01
10
10
01
10
10
00
00
11
01
01
00
10
00
01
00
10
00
01
00
00
01
01
10
01
00
00
00
00
10
10
10
11
00
11
00
10
11
00
01
01
11
10
00
11
01
00
11
10
00
00
10
00
00
00
10
11
00
00
01
01
11
10
00
00
01
11
10
10
10
11
00
10
00
00
11
00
00
01
10
10
11
00
10
10
00
11
01
01
01
10
01
10
01
00
00
00
11
11
11
00
11
10
01
01
00
01
11
10
11
10
00
00
01
10
01
10
10
10
00
00
00
00
10
00
11
01
00
00
01
11
10
11
01
10
10
01
00
01
10
10
10
10
00
00
01
10
00
00
00
00
11
00
00
11
10
01
00
00
10
10
10
00
00
01
10
01
01
00
00
10
10
10
00
01
10
10
00
01
11
00
00
10
00
00
10
01
00
10
00
00
00
00
00
10
00
00
00
01
01
01
10
01
01
00
00
00
10
10
10
00
00
10
10
00
00
10
10
00
10
01
10
11
01
10
00
11
11
00
00
10
10
01
11
00
01
00
10
01
01
00
10
01
11
01
00
11
11
10
01
00
00
10
01
01
00
10
10
11
10
10
00
00
11
10
11
11
10
10
11
10
00
00
10
01
00
00
00
10
01
10
00
00
10
10
01
10
10
00
00
01
10
01
01
11
10
10
10
10
10
10
10
00
01
11
00
10
11
11
10
00
00
00
01
11
10
10
11
01
10
00
00
00
10
11
00
01
10
10
00
00
11
10
10
01
10
10
11
11
01
00
11
10
01
10
11
00
00
10
01
11
11
00
01
01
11
00
01
00
01
11
10
10
11
10
01
11
11
10
00
10
11
10
00
01
11
10
00
01
10
10
10
00
01
01
10
10
10
00
00
11
11
00
11
11
11
10
01
01
10
00
11
10
01
10
11
10
10
00
00
00
10
11
10
00
11
10
11
01
01
10
10
01
01
00
00
00
10
01
00
10
11
00
10
00
00
10
00
11
00
00
10
10
01
00
10
00
00
01
00
01
11
10
00
00
11
01
00
00
00
10
11
00
00
10
10
11
00
00
11
00
01
00
00
11
10
00
10
01
00
10
00
10
11
10
01
00
00
01
10
11
10
00
11
01
10
00
00
10
00
00
10
10
10
00
11
01
10
00
00
10
11
00
01
10
00
01
10
11
00
11
00
11
10
11
00
00
10
10
00
11
10
00
10
11
00
10
00
01
00
01
10
00
10
00
00
00
00
10
00
10
01
00
11
00
11
10
00
10
11
11
00
11
10
01
00
11
10
01
10
10
10
00
00
10
00
10
11
11
10
01
00
00
10
10
01
00
00
10
00
11
00
00
00
10
11
00
01
01
01
01
11
01
10
11
00
10
00
10
10
01
10
10
11
00
00
10
11
01
10
00
01
00
11
10
10
00
01
01
00
10
00
10
00
00
10
11
01
10
01
10
00
00
10
10
01
10
00
10
10
00
00
00
10
10
00
10
00
00
00
10
00
10
00
10
00
10
00
01
00
11
11
00
01
10
10
00
00
10
00
11
01
01
11
10
11
01
10
10
10
00
11
01
00
10
11
10
01
10
10
01
01
00
11
00
01
10
01
10
11
01
01
00
00
01
11
10
00
01
10
00
00
00
10
01
01
10
10
01
10
11
10
01
00
10
11
10
00
01
00
11
00
01
11
10
11
10
10
01
10
11
10
00
00
10
10
00
00
10
01
01
01
00
01
00
10
00
00
10
10
10
10
00
01
00
10
10
00
01
10
10
00
01
10
10
11
10
01
10
00
01
10
10
00
11
11
00
00
00
00
10
10
00
00
01
11
00
11
10
10
00
01
10
00
10
11
00
10
01
00
10
11
00
00
10
10
00
00
11
10
00
00
00
10
10
00
10
11
10
10
01
11
10
00
10
01
00
01
00
11
01
00
10
00
00
00
11
10
01
11
11
01
10
10
00
00
11
10
00
00
10
11
11
10
01
11
00
00
11
00
01
10
10
10
01
10
00
10
01
11
10
00
11
10
01
00
11
00
00
10
11
00
00
00
00
00
10
00
10
10
01
11
10
00
11
01
10
01
00
11
00
00
11
10
11
11
01
00
10
01
00
11
10
11
00
01
01
10
11
00
00
10
10
00
10
10
01
11
00
00
01
10
01
00
00
11
00
10
00
10
10
00
01
00
10
10
01
10
10
00
00
10
01
11
00
00
00
01
00
11
10
10
00
10
10
00
10
10
10
10
11
00
00
11
00
11
11
00
00
10
00
10
11
00
11
00
01
11
01
00
11
10
00
10
10
00
01
01
10
11
00
01
10
01
11
00
01
10
01
10
00
00
00
10
10
10
11
10
01
00
00
00
10
11
10
00
00
00
01
01
01
11
00
01
01
10
00
10
10
10
00
00
10
10
00
01
00
11
11
00
00
10
00
01
11
00
11
11
00
10
01
10
00
00
10
11
01
01
00
10
11
01
10
10
00
11
00
10
10
10
00
11
01
01
10
00
00
11
10
10
00
01
10
00
10
00
00
10
01
10
10
00
10
11
00
00
10
01
10
11
10
00
00
10
00
11
00
01
01
01
00
10
10
11
00
01
11
10
00
00
00
11
00
10
11
00
00
11
00
10
11
10
11
01
11
10
10
00
00
00
10
01
01
11
00
10
00
00
00
10
01
00
00
01
00
10
01
11
00
00
10
11
00
10
00
01
01
00
11
10
10
01
10
11
10
00
01
00
10
01
10
10
10
11
00
01
00
01
01
10
11
01
00
10
01
00
00
10
00
00
01
01
11
10
00
01
10
01
00
10
11
00
00
01
01
10
00
01
10
01
11
01
00
10
00
10
10
01
01
11
10
00
10
10
01
10
10
01
00
10
01
01
00
00
01
00
10
10
00
10
10
01
00
00
01
00
10
00
00
10
10
00
10
01
00
10
11
10
00
00
10
10
00
01
10
01
00
01
11
01
00
00
00
11
10
01
01
00
10
00
00
11
01
00
10
10
00
01
11
01
00
01
10
10
11
10
01
00
10
10
10
01
01
10
11
00
10
00
00
00
01
10
10
00
00
00
01
10
10
01
00
10
01
10
01
10
10
11
00
01
01
00
11
11
10
01
11
00
00
10
11
10
10
00
00
11
10
10
10
11
00
00
10
11
10
10
10
00
00
00
00
10
00
10
10
10
10
00
01
00
00
10
10
01
10
10
11
10
10
00
10
10
00
11
00
00
10
01
00
00
10
00
01
00
10
11
00
11
00
01
01
01
10
11
10
00
00
10
10
00
11
10
11
11
00
00
00
11
10
10
00
10
10
00
00
00
10
10
10
01
01
10
11
00
10
10
10
10
00
00
10
10
00
00
01
10
11
00
11
10
00
10
00
01
11
00
11
01
00
01
01
11
00
10
10
00
00
01
11
10
00
00
10
00
00
10
10
10
00
10
10
10
00
11
01
00
00
11
00
00
01
01
00
11
00
10
10
01
00
01
00
11
10
00
00
10
10
01
11
00
00
00
00
00
00
10
10
00
00
10
10
11
01
00
10
11
00
01
10
10
00
01
00
11
10
00
10
10
00
00
10
10
00
00
00
11
10
01
00
10
11
00
10
11
00
00
00
01
10
00
11
11
00
10
00
01
10
11
00
11
10
00
11
01
11
10
11
11
01
01
00
00
10
00
10
10
01
01
00
00
00
11
01
01
11
10
00
10
01
11
00
00
10
11
00
00
10
10
00
11
00
01
00
01
11
11
01
00
00
10
11
10
10
00
00
10
11
11
11
10
10
10
10
00
10
10
00
10
00
10
00
10
11
00
00
00
01
11
10
00
11
10
01
10
11
00
10
00
00
11
10
01
10
00
10
10
00
01
01
10
00
10
11
10
10
10
10
00
00
01
10
01
11
00
00
10
10
00
10
11
10
11
00
11
11
00
00
11
10
00
11
10
00
01
00
01
01
10
11
01
00
10
01
01
11
10
10
11
01
00
10
10
10
00
10
00
01
00
00
01
10
01
10
00
00
00
01
01
10
10
11
00
10
01
00
11
00
10
10
01
01
00
11
00
11
00
01
11
11
01
01
11
10
01
01
00
00
00
11
10
10
00
11
10
10
10
00
11
11
00
01
00
10
01
10
11
00
01
10
10
10
10
11
00
11
01
00
11
01
11
11
00
00
10
00
00
10
11
11
00
01
10
00
00
01
00
11
00
10
10
00
00
10
01
00
00
10
00
00
00
10
01
00
10
01
10
11
01
00
00
00
10
11
01
00
01
00
10
00
01
00
10
10
10
00
11
00
00
10
00
11
00
01
00
00
00
10
10
11
00
01
01
10
01
10
10
00
01
01
00
11
11
10
01
01
10
11
10
00
10
00
00
10
10
00
00
00
10
10
10
11
11
11
11
11
11
11
01
00
00
11
10
00
00
00
01
00
10
10
10
11
10
00
11
10
01
10
00
00
10
00
00
10
11
10
00
01
00
00
01
00
11
01
00
01
01
10
00
10
11
00
11
10
01
01
10
11
00
11
11
01
00
00
11
10
10
01
10
11
01
01
01
00
00
00
10
10
01
00
00
00
10
10
01
11
10
01
01
10
01
10
00
00
10
11
11
10
00
10
00
11
10
10
00
11
10
11
00
00
00
00
01
01
01
10
10
00
10
10
00
11
11
01
11
10
11
00
00
11
00
00
10
00
00
10
10
00
11
10
10
11
11
00
01
11
00
01
10
10
11
00
00
10
10
00
00
10
10
00
01
10
00
10
11
10
01
00
10
00
01
01
10
00
00
11
01
00
00
10
01
01
01
00
00
00
00
00
10
00
10
11
00
10
00
00
01
10
00
01
10
01
01
11
10
11
10
10
00
00
00
10
10
00
11
00
00
10
01
11
00
11
01
10
11
01
01
10
10
00
00
11
01
10
10
11
00
11
11
00
01
10
10
10
10
00
00
00
00
10
10
10
01
10
10
11
10
00
00
10
10
10
00
01
01
10
10
10
00
10
01
00
01
00
00
11
11
01
00
10
11
10
10
01
00
10
11
00
01
01
11
01
11
10
01
11
10
11
00
01
10
01
01
11
10
00
10
10
10
01
00
11
11
10
01
01
00
00
00
00
11
00
01
10
00
10
10
00
10
10
00
00
11
01
10
10
01
00
00
11
10
01
01
10
10
01
10
10
10
01
00
10
10
00
11
10
00
10
00
00
10
10
01
10
11
01
00
11
10
10
11
10
00
10
10
01
00
11
10
01
00
10
11
00
00
10
10
00
01
10
00
00
10
00
10
10
00
10
10
01
00
00
00
00
10
00
11
00
00
10
01
11
11
10
00
11
10
00
01
00
11
10
00
10
10
10
10
00
00
10
11
00
10
11
10
01
11
10
01
00
11
00
10
10
01
10
00
00
00
00
00
00
10
10
01
01
00
10
10
00
10
11
10
11
00
00
01
10
00
10
10
01
01
10
10
11
01
00
11
00
00
00
00
10
10
00
00
01
10
10
10
10
10
00
00
10
10
10
11
00
00
00
10
11
11
10
11
10
11
00
00
00
10
11
00
00
00
10
01
10
10
10
00
10
10
01
00
01
01
00
10
01
11
10
00
01
10
11
10
00
11
00
00
11
00
00
00
10
11
01
00
10
00
00
10
10
10
01
00
10
10
00
00
00
10
00
00
00
11
11
10
11
01
10
01
00
10
01
10
01
11
10
00
11
10
00
10
11
11
01
00
00
10
00
10
00
10
00
00
00
10
00
00
10
10
00
01
00
10
00
11
11
01
11
10
00
11
11
00
01
10
10
00
00
01
10
10
11
00
00
10
00
10
11
00
10
00
01
10
01
01
01
10
10
10
10
01
10
10
10
01
00
10
11
01
00
01
11
11
01
10
00
01
11
10
00
01
10
00
10
01
11
00
01
11
11
01
10
10
00
00
10
10
11
00
11
10
10
00
01
10
01
10
10
11
00
00
10
11
00
00
10
00
01
00
00
11
10
00
00
00
11
01
11
10
00
10
00
00
00
11
10
10
10
11
01
00
01
11
01
01
00
10
10
00
00
10
10
10
10
10
00
11
10
00
01
00
11
10
00
10
11
01
11
10
01
10
10
00
01
11
00
10
00
10
01
11
10
00
01
01
11
00
10
11
11
00
00
01
11
11
10
10
00
10
10
01
00
10
11
00
00
00
00
00
11
11
00
11
01
11
10
10
11
00
10
10
11
01
10
10
11
10
10
10
00
01
01
01
00
01
11
00
10
10
10
01
00
11
10
11
10
11
00
10
11
00
01
10
11
01
11
00
10
10
01
00
00
10
10
10
10
10
00
00
10
10
00
01
01
00
10
00
10
10
10
01
01
10
10
00
10
11
01
00
11
10
00
11
00
01
00
10
10
11
00
10
00
01
10
00
00
10
10
01
11
10
10
00
10
10
10
10
10
11
11
10
00
00
10
01
00
10
10
10
00
00
00
01
01
00
00
01
00
01
10
10
11
01
11
00
00
00
00
01
01
00
10
10
11
00
10
10
00
10
11
00
01
10
11
10
10
00
00
00
10
00
10
10
11
00
10
00
11
10
00
01
10
01
10
11
00
10
01
00
10
10
01
10
00
00
10
10
01
00
10
10
00
00
11
00
01
00
10
10
10
11
00
01
10
11
10
01
01
00
10
11
00
01
01
11
10
01
00
01
10
10
01
01
00
00
00
10
11
10
10
10
01
11
10
00
00
11
10
11
00
10
10
00
00
11
10
00
00
01
10
01
11
00
11
00
11
01
00
10
10
00
00
11
10
01
10
10
00
11
00
01
00
10
10
11
11
01
01
10
00
00
10
11
10
00
01
10
11
00
00
10
00
00
10
10
00
10
10
01
00
01
11
00
10
00
00
01
00
00
10
10
11
11
01
10
11
00
01
01
00
00
10
10
00
10
10
00
00
10
00
10
00
00
10
00
00
11
10
01
00
11
10
00
01
10
00
01
10
10
10
01
00
11
10
00
01
10
10
10
10
00
00
00
10
10
00
00
01
00
10
00
10
11
00
10
10
00
10
01
11
00
01
00
01
01
10
10
00
00
10
10
10
00
01
10
10
00
11
10
10
01
10
11
00
00
10
10
00
11
11
00
10
10
01
00
11
00
01
11
10
11
10
00
00
10
10
10
10
11
00
00
00
10
11
00
10
00
00
00
01
01
00
11
11
10
11
00
11
11
11
10
00
00
01
10
00
00
10
10
10
10
00
11
10
10
10
10
00
10
11
10
00
00
10
10
11
10
11
00
01
11
00
11
10
00
11
00
00
11
01
01
01
01
10
10
00
10
10
10
01
00
10
00
10
10
00
00
10
01
01
01
01
00
01
00
10
10
11
00
01
01
10
10
01
10
00
11
01
10
01
11
10
11
11
01
10
00
00
00
01
10
10
10
01
00
10
11
00
00
11
10
01
10
10
10
01
11
10
01
00
01
11
00
00
10
10
01
00
00
00
00
10
00
10
10
00
00
10
10
11
00
00
10
00
01
11
11
01
10
00
11
10
01
11
11
00
00
00
00
10
10
11
00
10
00
01
10
10
10
00
00
10
10
11
00
01
00
10
01
11
10
00
00
00
10
00
00
11
00
01
00
01
10
10
11
11
01
00
00
10
00
00
11
10
00
00
10
01
10
00
00
00
01
10
10
00
01
10
01
10
10
00
11
00
01
00
11
10
00
10
00
00
00
01
10
10
10
00
00
00
00
11
10
10
10
10
10
10
00
01
10
00
00
10
11
11
10
01
01
10
01
11
10
00
10
00
01
10
10
11
10
00
11
10
00
01
00
01
01
11
10
01
00
10
00
01
11
01
01
10
11
10
00
01
00
10
10
11
00
11
10
00
10
01
10
10
11
00
00
10
11
01
00
01
11
11
00
00
10
11
10
01
00
10
11
00
11
10
00
00
11
10
00
11
00
00
10
10
00
01
00
10
01
10
01
10
10
10
10
00
01
00
01
00
10
10
11
01
10
11
10
10
00
00
00
00
10
10
01
00
00
00
00
00
10
01
10
11
00
01
00
01
00
10
01
01
10
10
11
10
01
11
11
01
00
00
01
10
11
01
10
11
10
00
01
11
11
00
00
11
00
11
00
10
00
10
10
00
10
10
10
01
10
10
00
00
01
10
10
11
10
00
01
00
10
11
10
10
00
00
00
00
10
10
00
10
10
10
11
11
10
01
00
00
00
01
10
11
01
11
11
01
00
00
00
10
11
00
01
00
10
01
10
01
00
00
10
10
01
00
01
10
00
10
11
11
00
10
10
10
01
11
10
01
00
00
00
00
10
11
01
00
10
10
01
10
11
10
01
01
10
10
00
00
10
00
10
11
10
10
00
00
00
11
00
11
00
00
11
10
11
11
00
00
00
00
00
00
10
01
00
11
11
00
01
00
00
00
01
10
11
10
00
00
00
01
11
00
00
00
00
00
11
10
11
11
01
11
10
00
00
01
01
10
11
11
00
00
11
00
00
10
10
00
11
01
10
01
00
00
00
11
10
10
00
00
10
11
10
00
01
00
00
10
11
01
10
01
11
10
11
00
00
10
10
10
11
01
00
01
01
10
10
00
00
10
00
00
10
01
01
10
10
01
00
11
00
10
01
10
01
01
00
11
11
00
00
10
10
00
00
11
10
00
01
11
10
01
10
10
00
01
00
01
00
11
00
11
00
00
00
10
00
01
00
11
10
00
10
10
00
00
10
10
10
00
01
00
00
00
10
01
01
01
11
00
01
00
01
00
00
10
11
00
01
10
01
01
11
00
10
00
00
00
10
11
00
00
10
10
11
00
01
10
10
01
11
00
01
00
00
00
11
01
11
10
00
00
00
10
10
00
00
01
10
11
11
00
11
01
10
11
00
01
01
00
10
00
00
10
10
00
00
00
10
00
11
00
00
11
10
11
01
00
10
10
00
10
11
00
10
00
11
00
10
01
00
11
00
10
11
10
00
00
10
11
10
00
00
00
11
00
10
11
10
11
00
01
00
11
00
00
00
11
11
10
11
00
01
11
00
00
01
10
10
00
01
10
10
01
00
11
10
11
10
11
11
10
01
10
00
01
10
00
01
10
10
00
10
10
01
01
11
11
01
10
10
10
00
00
10
10
00
00
10
11
10
10
10
01
01
10
10
00
01
11
00
00
01
10
10
00
10
10
10
01
00
00
10
01
10
11
10
01
11
10
10
10
00
00
10
10
00
00
10
00
11
10
00
00
11
00
00
00
10
01
11
00
00
01
10
00
11
10
10
10
01
01
11
10
00
11
00
01
10
10
00
00
11
10
11
10
11
00
00
10
00
00
11
01
00
11
00
10
00
00
10
11
00
00
10
10
01
00
00
11
01
00
00
00
00
00
10
00
10
11
11
00
01
10
00
00
11
01
01
10
11
10
00
01
00
10
10
01
10
01
01
01
01
10
00
11
10
00
10
11
00
00
10
10
10
00
00
00
10
10
10
00
01
11
00
10
00
11
01
11
10
00
11
10
10
00
00
10
00
01
11
00
10
01
10
11
11
01
10
00
10
10
00
00
00
11
10
00
00
10
11
00
00
11
10
00
10
00
00
10
10
00
00
10
11
10
10
10
00
00
10
10
01
11
01
10
10
11
00
01
10
00
00
00
10
10
00
01
10
11
01
10
11
10
00
00
10
11
10
10
00
10
10
10
01
01
10
11
00
10
00
01
10
11
01
10
10
10
00
00
00
10
10
10
10
00
00
01
10
01
10
01
00
00
10
01
10
10
00
00
10
10
01
10
10
00
00
11
01
10
01
00
11
00
00
10
10
11
10
11
00
11
00
10
00
10
01
00
01
10
01
00
01
11
10
00
00
01
11
10
00
10
10
01
10
00
01
00
01
10
00
10
11
00
00
11
11
10
10
10
01
10
01
11
11
11
00
00
10
10
00
00
10
10
10
01
01
00
11
10
10
10
10
01
00
11
11
00
10
00
10
10
00
00
00
01
00
11
11
11
00
10
10
00
01
11
01
00
11
10
10
01
10
10
01
01
10
01
00
10
00
10
11
00
00
10
11
01
11
00
01
10
00
00
11
10
00
01
10
01
00
10
10
00
00
11
00
01
11
10
11
11
10
00
00
11
00
01
10
01
10
10
10
00
11
10
11
00
00
00
01
10
10
11
01
01
10
10
01
01
01
00
00
10
01
00
10
11
01
11
10
00
00
01
10
00
01
10
11
00
00
01
00
11
10
00
10
11
00
11
00
10
00
01
11
00
00
01
01
11
11
10
10
11
00
00
10
00
00
11
00
10
01
01
01
11
00
10
00
10
11
11
00
00
00
11
00
01
11
10
11
10
10
10
00
01
00
00
10
10
00
01
10
11
10
11
00
00
00
10
11
00
10
11
10
01
11
11
00
01
10
10
10
00
00
10
11
10
00
01
01
01
11
11
00
10
00
00
01
10
00
00
10
01
10
10
11
10
10
11
11
01
00
00
11
00
01
01
00
10
10
01
00
01
10
00
01
10
01
10
00
10
11
10
00
00
11
00
01
00
11
00
11
10
10
01
00
10
11
00
00
11
11
10
00
00
00
00
10
10
00
10
01
10
10
10
01
11
11
00
01
11
10
10
10
01
00
01
10
10
10
00
00
11
10
00
10
10
11
10
00
10
10
00
01
00
10
00
10
11
00
01
01
11
00
01
00
00
00
10
00
01
00
11
10
00
00
00
00
10
00
00
00
00
10
01
00
11
10
11
10
00
00
10
10
00
11
00
01
00
01
10
11
10
00
00
11
00
10
10
01
11
11
11
10
00
00
10
01
00
10
10
00
01
10
00
10
10
01
11
10
00
00
01
10
11
01
10
00
10
00
11
00
00
10
10
00
00
01
11
10
11
00
00
10
10
11
10
01
11
00
01
00
01
10
10
11
00
00
11
01
01
10
10
01
10
00
00
10
01
01
11
01
10
10
00
10
00
00
11
11
01
01
01
10
10
11
01
00
11
10
00
10
01
10
00
01
00
11
10
00
10
10
00
00
11
10
00
01
01
11
00
00
11
01
11
11
11
01
01
00
10
10
01
00
10
11
00
10
00
00
10
00
10
10
10
00
10
10
10
10
11
00
01
10
00
10
00
01
00
01
11
10
01
10
11
00
01
10
10
00
01
01
00
00
00
10
01
10
10
11
10
00
10
11
10
00
00
00
00
00
10
00
10
10
00
11
11
10
10
11
11
01
11
00
00
00
00
10
10
01
11
10
01
00
10
10
00
01
10
00
00
00
00
00
11
00
00
00
10
10
00
10
00
00
00
00
00
00
10
10
11
11
10
00
00
00
10
00
01
10
10
10
11
11
10
00
11
00
11
00
00
11
00
11
00
11
10
01
10
00
10
10
01
00
11
10
10
00
10
00
00
00
10
00
01
11
00
01
01
11
11
00
10
00
01
10
11
01
00
11
10
00
10
11
00
11
01
00
10
10
11
00
01
10
10
11
01
00
10
11
00
01
00
00
11
10
00
00
10
11
00
10
00
10
00
10
00
10
10
01
11
00
11
00
00
10
00
10
00
00
00
11
11
01
10
10
11
10
01
00
10
10
10
01
00
11
10
10
00
01
00
11
01
10
01
01
11
10
00
01
00
00
10
10
00
11
00
11
00
00
11
11
10
00
01
11
01
01
10
01
01
00
11
10
01
10
11
00
10
00
00
10
00
11
11
00
01
10
01
11
00
00
11
11
00
10
00
00
10
00
10
10
01
10
00
10
10
10
10
10
10
01
01
01
00
00
10
11
00
10
10
00
00
00
10
01
11
10
00
00
00
11
01
11
11
10
10
01
00
01
10
11
10
01
01
01
10
10
10
01
10
00
10
10
00
00
10
11
00
01
10
00
00
00
10
10
10
00
11
01
01
01
10
10
00
00
00
10
10
01
00
11
00
10
10
00
00
11
10
00
01
01
10
10
10
11
00
01
10
10
00
01
10
11
00
00
00
10
00
10
01
01
01
01
10
11
01
10
10
00
11
11
10
00
00
11
00
10
00
00
10
10
00
00
00
10
10
01
00
00
00
11
01
10
00
10
10
00
10
01
11
10
10
00
01
10
10
01
00
10
00
00
11
00
00
01
10
10
00
00
01
10
00
10
10
01
10
11
00
10
10
10
11
10
10
00
10
10
11
10
00
10
10
11
10
00
01
00
00
11
01
10
10
10
00
00
11
10
10
01
10
00
11
11
00
01
00
00
00
00
10
00
01
10
01
11
00
01
01
11
10
10
00
00
00
10
10
00
00
00
10
00
10
10
00
10
11
00
00
00
11
10
10
10
10
00
01
00
00
10
10
11
00
11
00
11
00
01
11
10
00
00
10
10
00
01
10
10
01
00
10
00
10
11
00
00
00
10
10
00
10
10
10
10
00
10
00
00
01
11
00
10
10
00
11
10
10
00
00
10
10
10
10
10
10
00
00
10
10
01
00
00
00
00
11
10
10
10
11
00
00
00
00
01
00
00
00
10
11
01
10
11
10
11
10
01
10
00
00
11
10
01
00
11
10
11
10
01
10
11
10
01
00
11
00
01
11
10
01
10
10
00
00
11
11
00
10
11
10
01
01
00
10
00
00
10
10
10
10
00
00
00
10
00
00
10
10
00
00
01
00
01
00
01
00
10
10
01
10
00
00
00
00
11
00
11
00
01
00
01
10
10
00
00
10
10
00
10
00
11
10
11
00
10
01
01
11
01
10
10
10
00
01
10
10
00
01
10
10
00
01
00
01
10
11
10
10
10
10
10
00
10
01
10
10
00
11
10
01
01
11
11
00
01
10
00
00
01
10
10
00
11
10
11
11
00
00
00
10
10
01
00
10
10
11
01
10
00
00
10
10
10
00
10
11
01
10
01
00
10
10
00
00
10
00
10
11
00
10
00
01
11
00
00
00
01
00
01
10
10
01
11
00
10
10
01
10
10
01
10
01
01
10
00
10
10
00
10
11
01
00
00
10
11
00
11
00
01
11
11
11
11
11
11
10
11
00
01
10
11
00
10
01
00
11
11
01
01
11
11
11
10
00
11
00
01
10
01
01
10
10
11
01
11
11
10
00
11
10
00
10
10
11
10
00
11
10
00
00
10
00
10
10
00
00
01
10
00
00
10
10
10
11
10
10
11
10
01
00
10
01
10
10
01
11
11
10
00
01
10
10
00
00
10
00
11
11
11
01
11
01
01
10
00
01
10
10
00
00
10
10
11
10
11
01
00
10
11
00
10
00
00
10
10
00
00
01
00
10
00
10
00
00
01
10
10
01
10
10
01
10
10
00
10
00
00
00
10
10
10
11
00
01
00
00
00
10
10
10
11
10
10
10
11
00
00
11
11
00
10
00
10
10
01
01
10
10
01
00
11
10
00
00
00
01
10
11
00
01
00
11
01
00
01
00
00
11
00
01
00
01
11
01
00
11
00
11
10
00
01
00
11
11
11
00
00
00
01
10
10
00
01
10
01
00
10
11
11
10
10
10
01
00
01
00
01
01
01
00
10
01
00
00
11
10
00
00
00
01
00
10
00
11
10
10
10
00
00
10
11
10
11
00
00
00
10
11
10
10
00
00
01
11
00
10
01
10
11
11
00
01
10
11
00
10
00
01
00
10
10
00
10
11
10
01
00
11
10
01
01
10
11
00
11
00
00
10
10
10
00
10
00
11
11
11
10
01
01
01
00
10
11
10
10
00
10
00
00
10
10
11
10
10
10
11
10
10
00
01
10
11
01
10
10
01
10
00
01
11
01
00
00
10
01
01
11
00
00
00
00
00
00
11
11
01
11
11
10
10
10
01
00
01
01
11
11
10
00
10
00
00
10
11
00
10
11
01
01
10
01
10
11
00
10
10
10
11
00
11
10
00
00
00
01
10
10
01
01
10
10
01
10
11
10
11
11
00
00
11
10
01
10
10
11
10
01
00
10
10
10
00
00
11
10
00
11
10
00
01
00
00
10
00
00
10
00
11
00
10
00
00
10
11
10
00
00
10
10
11
10
01
10
11
11
00
00
10
00
00
10
10
00
01
10
00
00
10
00
00
10
00
00
01
11
10
00
00
00
00
01
10
10
11
00
00
01
11
10
10
10
11
01
10
10
00
01
00
11
11
10
00
11
10
01
01
10
10
10
00
00
00
01
10
10
10
00
00
01
00
10
11
01
10
11
10
01
10
10
00
00
11
10
10
00
10
10
01
11
01
10
11
00
11
00
01
11
10
10
00
10
01
00
10
10
00
11
00
11
11
10
11
10
01
01
00
01
10
10
00
00
10
10
11
10
01
10
01
10
11
11
10
00
01
00
11
00
10
10
00
00
00
00
10
00
10
10
10
00
10
01
01
01
10
00
00
10
01
01
11
11
01
11
00
11
10
00
10
10
00
00
00
10
00
11
01
01
00
10
01
11
10
10
00
00
00
11
10
11
01
00
00
00
11
00
01
10
10
01
00
00
11
11
01
00
10
11
11
10
10
00
01
00
10
01
00
01
10
00
00
10
11
00
01
10
10
00
01
11
11
01
00
00
10
10
00
10
11
00
11
00
00
11
11
10
01
10
10
00
00
00
10
10
00
01
00
00
01
00
00
00
10
10
10
00
00
10
00
00
10
10
01
10
11
10
10
00
01
01
10
11
00
00
11
01
00
00
11
11
00
11
10
10
10
00
10
10
00
01
10
00
00
10
00
01
10
10
00
00
10
00
01
11
10
00
11
11
11
00
01
00
00
10
00
11
10
10
11
10
01
11
00
01
00
00
01
10
10
11
11
00
00
00
00
00
11
10
10
10
00
10
10
10
01
00
10
00
11
11
01
10
00
00
11
10
00
10
11
00
10
10
00
10
00
00
01
11
10
00
10
00
00
11
11
00
11
11
10
01
00
10
10
10
00
01
10
11
00
01
10
10
11
00
00
11
10
00
10
10
00
00
00
00
10
10
10
00
10
10
00
01
11
10
11
10
11
00
01
10
10
10
00
00
00
10
10
10
00
00
01
11
11
00
00
00
10
10
00
11
10
11
00
00
10
10
00
00
01
11
00
10
10
00
01
00
01
00
10
11
00
11
11
00
11
00
00
10
10
10
01
10
10
01
01
10
10
00
00
01
00
01
10
11
01
10
11
11
01
00
10
10
00
11
11
00
00
00
10
00
10
01
10
00
01
10
01
01
11
00
10
10
00
11
10
01
00
01
10
00
10
00
00
00
01
10
01
10
01
00
10
11
10
00
10
01
00
11
11
10
00
00
01
01
01
10
10
00
10
01
00
10
00
10
11
00
10
01
00
10
00
00
10
11
00
00
10
10
11
11
00
01
00
00
00
01
01
10
00
00
10
00
10
10
01
10
10
00
11
01
10
01
00
00
01
00
10
10
01
01
11
00
11
10
00
11
00
01
01
10
00
10
10
11
11
11
10
00
10
01
10
11
11
01
10
00
00
00
11
10
00
11
01
00
00
10
10
00
10
11
11
01
00
00
01
10
11
00
01
11
11
00
00
11
11
10
01
11
11
01
00
01
10
00
00
10
00
01
01
10
11
10
00
00
10
00
01
10
10
00
10
10
10
10
00
00
00
10
00
00
00
00
00
11
00
00
10
00
01
00
10
10
10
10
10
01
10
01
11
10
11
00
00
00
00
10
01
00
00
11
11
00
01
01
00
00
10
10
10
00
11
00
10
00
10
00
10
10
11
00
00
11
11
01
10
00
00
00
11
00
01
10
10
10
11
00
00
00
10
01
00
10
00
00
00
10
10
01
01
11
11
01
10
10
10
00
10
11
01
10
00
01
00
00
00
11
11
10
01
01
10
00
10
10
00
00
10
11
10
11
01
00
10
11
00
00
10
00
00
11
10
00
01
10
11
10
01
01
10
11
11
01
00
10
10
11
01
11
10
01
00
00
00
11
10
01
00
10
01
00
11
10
00
01
01
01
00
11
11
00
00
10
10
00
10
11
10
10
00
00
01
10
10
00
00
01
00
01
10
11
11
01
11
10
10
00
01
10
11
00
01
00
00
11
10
10
01
10
01
10
10
01
00
10
01
00
10
10
01
00
00
11
00
11
01
10
10
10
01
01
11
11
00
10
10
01
10
11
00
00
11
10
11
10
10
01
00
11
01
11
10
10
10
10
00
00
00
11
10
11
11
10
10
10
00
10
11
00
00
01
00
11
11
10
10
00
00
10
00
00
00
01
10
00
10
00
10
00
00
10
10
11
00
10
10
01
10
01
11
10
10
00
11
10
10
00
00
10
10
00
10
10
10
00
10
11
10
10
00
01
00
00
10
01
00
10
00
00
00
11
11
10
00
00
00
01
01
10
01
10
11
01
01
10
10
11
00
00
00
00
11
00
11
10
11
10
10
11
10
00
01
00
10
01
00
10
11
10
01
01
11
00
11
10
01
10
11
01
10
10
00
10
11
10
01
10
00
00
00
00
00
01
10
10
01
11
10
01
00
01
10
11
00
00
10
10
10
01
00
10
00
11
10
11
00
01
10
01
01
10
10
10
10
01
01
00
10
10
11
10
01
00
00
10
10
00
01
10
10
11
11
01
11
00
00
10
11
10
11
00
00
10
11
00
11
00
00
01
00
11
00
00
11
01
10
00
00
10
10
10
00
00
10
10
10
11
10
10
00
00
10
10
10
10
01
00
10
00
10
11
00
00
00
10
10
11
10
00
10
00
00
00
10
11
01
00
11
10
00
00
00
11
11
11
01
01
00
01
01
10
11
01
01
10
10
00
00
10
01
00
11
10
01
10
10
10
00
11
11
00
01
11
00
00
11
00
00
00
11
00
10
10
11
10
00
00
00
10
11
00
11
10
00
10
10
10
01
10
10
10
11
00
00
01
10
10
00
00
11
10
00
11
00
01
00
01
00
00
11
10
11
00
10
01
01
00
00
10
00
00
00
00
10
10
11
10
10
11
01
00
00
00
00
11
11
11
11
01
01
10
00
00
01
10
01
01
00
00
00
10
10
00
10
11
00
00
10
01
00
01
10
11
00
10
10
01
00
11
01
01
10
00
00
10
00
11
00
01
11
00
11
10
00
00
00
10
11
10
01
01
00
10
10
10
00
01
10
00
10
10
10
10
11
10
00
01
00
00
11
10
00
00
11
10
01
10
10
10
00
01
10
00
00
01
10
10
11
01
10
10
10
10
10
10
00
10
10
01
10
11
00
00
01
10
01
00
10
10
00
11
10
10
00
10
00
10
10
11
10
00
10
00
00
10
10
00
01
10
10
00
00
11
01
01
10
10
00
00
10
01
10
00
00
10
10
01
01
10
10
00
10
10
01
00
10
10
00
00
00
10
10
11
00
00
01
01
01
10
11
00
00
10
10
11
00
10
10
10
00
00
10
01
10
10
10
10
00
00
00
10
00
00
10
01
10
10
00
10
01
11
11
00
10
10
11
00
01
11
10
01
10
00
00
00
10
11
11
00
01
10
11
00
11
11
00
01
10
10
00
10
00
00
01
10
00
11
10
11
00
11
01
01
11
00
01
11
01
10
11
11
01
00
00
01
10
10
00
10
10
10
00
10
01
10
11
00
00
00
00
00
00
01
10
01
00
10
01
10
10
00
10
11
11
00
01
10
01
00
10
10
00
10
11
10
10
10
01
01
10
00
00
10
10
01
01
11
00
10
01
01
00
00
11
00
10
10
01
00
00
10
10
11
00
00
01
01
10
11
10
10
00
00
11
11
00
01
00
00
10
11
01
11
10
10
00
00
11
00
11
10
01
01
10
00
11
00
00
10
10
00
11
10
01
00
11
00
00
11
10
10
11
00
00
00
10
10
10
00
01
11
10
01
10
10
10
01
00
11
10
01
00
01
10
01
10
10
00
00
10
10
10
00
10
10
00
10
10
10
00
10
00
00
10
00
00
10
11
00
00
00
01
00
10
10
11
10
11
00
01
10
00
01
01
11
10
00
11
00
11
10
10
00
00
00
10
00
00
00
01
10
00
10
10
10
10
00
00
10
10
01
00
11
00
10
10
10
10
10
00
01
11
00
00
10
11
11
10
10
00
01
11
00
10
10
10
10
10
10
01
11
11
10
01
00
11
10
00
10
00
11
10
00
01
00
00
10
11
00
00
00
10
01
00
00
11
00
00
10
10
00
10
10
00
10
10
01
10
00
00
10
11
01
01
11
01
10
00
10
00
01
10
10
00
10
11
01
11
10
10
00
10
10
11
10
01
01
00
01
00
11
10
00
00
11
00
00
10
11
00
01
10
11
10
00
00
10
00
00
00
10
10
00
01
10
01
00
01
10
01
10
11
01
00
01
01
10
11
10
00
11
11
01
01
11
00
00
10
01
01
11
00
00
10
10
00
10
00
11
01
10
11
00
10
00
00
00
11
01
11
00
10
00
10
11
00
00
10
11
00
10
10
00
00
10
11
00
11
10
10
11
00
00
11
00
00
10
01
00
10
00
10
00
10
10
10
11
10
10
01
10
10
00
00
10
00
01
00
00
10
10
01
01
10
00
00
10
10
00
11
01
11
01
00
10
11
00
01
01
11
11
01
10
00
00
01
10
11
00
10
00
01
11
10
10
01
00
00
10
01
01
10
00
10
10
00
00
11
00
01
10
10
00
01
10
01
11
10
01
00
00
10
11
00
01
00
00
10
00
00
11
10
10
00
00
10
00
10
11
10
00
11
00
10
00
11
10
00
00
10
00
11
01
00
11
01
00
00
10
10
00
00
11
00
01
11
11
00
11
10
10
11
10
11
10
10
00
10
00
00
10
00
10
10
10
10
10
01
10
01
00
00
10
10
00
10
11
01
00
00
01
11
00
00
10
01
10
01
00
01
00
00
11
10
00
00
10
10
10
01
00
00
00
01
10
01
10
00
00
11
10
01
00
10
00
10
10
00
11
11
00
00
11
00
00
01
11
01
10
10
10
00
10
00
01
10
10
00
11
10
00
10
10
01
01
01
11
01
00
01
00
10
00
00
11
01
00
10
11
10
01
00
10
00
00
00
10
01
00
01
00
10
01
10
01
01
10
10
10
00
01
10
11
10
00
10
11
00
01
10
00
10
00
00
00
11
10
11
01
00
11
01
00
00
10
00
10
11
00
00
10
01
11
01
10
11
00
00
10
11
01
00
10
10
10
10
10
00
10
00
00
00
00
00
00
00
00
01
10
11
10
10
10
11
01
01
01
01
11
10
00
01
00
10
11
01
01
10
10
11
00
11
00
00
10
00
00
10
00
10
01
10
11
00
01
00
10
00
11
00
00
00
10
00
00
00
10
00
11
01
00
00
10
00
10
11
11
00
00
11
00
01
11
00
11
00
11
10
10
00
00
10
11
01
01
11
10
01
10
11
01
01
10
10
01
01
10
10
01
00
00
11
11
10
00
00
10
00
10
10
01
00
11
01
01
10
10
11
00
00
10
10
10
11
01
01
01
00
00
11
10
11
10
00
01
01
10
10
11
01
01
10
11
01
00
10
10
10
00
00
10
00
00
00
00
00
10
10
00
10
00
11
00
10
10
00
10
01
00
00
01
11
00
10
10
01
00
00
10
11
00
00
01
00
01
10
10
01
00
10
10
00
00
11
10
10
10
01
10
00
00
00
10
11
11
10
11
10
10
11
01
00
00
01
10
10
11
10
00
10
11
00
01
10
11
01
00
01
01
10
00
00
10
00
00
11
00
01
00
10
11
00
10
11
10
00
00
00
00
00
00
11
00
00
10
11
10
10
10
10
01
10
10
01
00
00
11
10
01
01
00
11
10
10
10
00
00
01
10
10
00
11
10
00
00
10
01
00
00
01
11
00
01
11
11
10
01
01
00
00
10
10
01
10
10
00
00
10
10
10
10
10
10
00
10
11
00
10
11
11
11
11
01
00
10
11
10
10
11
00
01
00
10
10
00
10
10
10
00
00
11
00
10
00
01
00
00
01
11
01
01
10
11
10
11
10
10
00
01
10
11
11
01
01
10
10
00
10
10
01
00
11
00
11
10
10
10
10
00
00
01
01
00
11
10
10
00
00
00
01
11
10
11
01
11
10
10
00
01
11
00
11
10
00
01
10
00
01
10
10
11
00
11
00
11
01
10
10
01
11
00
10
11
11
00
00
01
10
00
00
11
01
00
01
11
10
00
01
11
10
11
00
00
10
01
10
00
00
10
00
10
01
00
11
10
01
10
10
01
11
00
00
00
11
00
00
10
11
00
00
00
10
10
10
01
00
00
10
11
00
10
10
00
00
00
00
11
00
00
00
10
00
10
10
10
01
00
11
10
10
10
10
11
10
00
00
10
11
00
01
00
00
11
10
10
01
10
11
10
11
00
00
10
00
01
11
00
11
00
01
01
11
01
00
11
10
01
00
10
10
00
10
10
11
10
00
10
01
00
11
01
11
01
01
00
11
11
00
00
10
10
00
01
10
01
01
01
10
01
00
10
00
00
11
01
01
11
10
11
00
00
10
10
00
00
00
01
00
10
00
00
00
10
00
10
11
00
10
00
10
00
00
10
11
01
00
10
01
10
11
00
00
10
10
00
00
11
10
01
00
11
11
10
00
01
00
10
10
00
00
10
01
00
10
11
01
11
10
00
10
11
11
00
00
10
00
01
00
10
11
00
11
00
01
11
11
11
00
10
11
00
01
10
10
00
10
11
01
00
01
00
11
10
00
10
00
10
11
00
01
10
11
10
10
10
10
01
00
00
10
01
00
11
11
00
00
10
11
00
00
10
10
00
00
01
00
01
11
00
11
00
01
01
10
11
00
01
10
10
01
10
00
00
01
10
11
10
10
10
10
00
00
00
10
00
10
10
00
00
01
11
11
00
01
10
00
10
00
01
10
10
00
11
10
11
11
10
00
00
10
00
00
10
11
00
00
00
10
10
10
10
11
01
00
10
01
01
10
10
01
10
00
00
10
10
10
01
00
10
10
00
01
00
00
10
10
11
10
11
00
10
11
00
10
10
10
00
01
10
01
01
00
10
01
10
10
00
01
00
01
11
00
00
10
11
10
01
01
11
11
00
10
10
00
00
10
11
00
01
00
11
00
10
10
01
10
10
11
10
00
01
00
11
00
01
10
10
01
00
00
10
00
00
00
01
11
10
01
00
11
10
10
01
10
11
11
10
00
01
10
10
10
00
01
00
00
10
10
01
10
10
11
01
10
10
01
00
10
11
00
11
10
10
00
01
10
11
10
00
10
10
00
01
10
10
00
10
10
10
11
01
11
00
00
11
00
11
10
10
00
00
00
00
11
10
10
10
00
00
11
10
11
11
10
10
01
01
11
11
11
11
01
01
00
11
01
01
10
01
00
11
10
11
00
00
00
10
00
00
00
10
10
00
10
00
10
10
01
10
00
01
11
00
00
10
00
10
10
01
10
00
01
10
00
10
00
10
01
00
10
00
10
00
01
00
01
10
10
10
00
11
11
00
00
00
10
00
00
10
10
00
10
00
01
11
00
10
11
00
10
00
00
00
00
10
10
10
11
01
00
01
00
11
11
01
00
00
11
00
10
11
10
00
11
10
00
10
10
00
00
10
10
00
00
11
10
00
10
01
10
10
11
00
00
11
10
10
11
00
00
00
10
10
00
11
00
10
10
10
10
10
00
00
00
10
00
10
11
11
10
10
00
01
10
11
10
11
10
11
00
00
00
11
00
00
00
00
11
01
00
11
00
01
11
10
00
00
10
11
10
01
11
10
11
10
10
11
00
00
10
10
00
10
00
00
00
00
10
11
11
00
11
01
00
00
11
11
01
00
11
00
11
01
00
11
10
11
10
00
00
01
00
11
01
10
01
01
00
11
10
10
10
01
00
00
10
00
01
00
01
00
00
10
10
11
00
00
10
00
00
00
11
00
01
01
10
10
10
00
00
00
01
11
10
00
10
00
01
00
10
00
01
01
11
10
11
10
01
01
00
01
00
11
01
10
10
00
10
00
00
11
10
10
01
00
10
00
01
00
10
10
10
10
10
11
11
00
10
00
10
01
10
11
00
11
10
01
10
00
10
10
10
01
01
11
10
01
01
01
00
00
11
10
00
10
00
00
00
10
11
00
00
10
10
10
10
01
00
01
10
10
00
10
10
10
00
01
00
11
00
00
00
11
10
00
10
00
10
01
10
10
10
11
10
00
00
01
00
01
11
00
11
10
10
11
10
00
10
10
00
01
00
10
00
01
10
00
11
11
01
11
01
01
00
10
01
01
10
00
10
00
10
11
11
00
00
10
01
00
10
10
00
00
00
10
00
01
00
00
10
10
00
10
11
10
01
00
00
00
00
10
10
10
10
11
11
01
01
11
11
01
00
00
00
00
10
11
11
00
10
10
00
10
10
00
10
00
01
00
10
00
00
00
00
11
00
11
00
00
10
01
00
00
10
00
01
00
01
11
01
00
10
00
01
10
01
01
00
11
10
11
01
10
11
00
10
01
01
10
01
01
10
00
10
00
00
00
10
11
10
11
11
11
00
00
01
10
11
00
01
10
10
00
10
00
11
00
10
11
10
10
10
10
01
01
00
10
11
01
11
01
01
00
00
11
10
11
10
11
11
00
01
00
00
00
10
10
00
11
11
00
01
01
10
00
10
10
10
11
11
00
00
00
00
10
00
10
11
01
01
01
11
10
00
00
00
10
10
01
00
10
10
10
10
10
01
01
10
01
11
10
11
01
00
10
10
00
11
11
00
01
00
11
10
10
00
01
00
00
10
10
00
10
10
01
11
00
01
00
00
10
00
00
10
00
10
10
11
10
10
10
00
01
10
10
00
00
10
10
10
01
10
10
00
00
00
00
00
10
11
00
10
00
10
10
00
00
00
10
10
00
00
11
00
10
00
10
11
10
00
10
00
00
10
11
00
10
11
10
00
10
10
00
00
10
11
01
00
01
00
10
00
00
10
11
10
10
01
00
01
11
11
00
01
10
10
00
00
11
11
10
00
11
10
10
00
01
11
10
00
01
11
00
00
11
10
00
00
00
10
10
00
00
10
00
10
10
00
00
11
11
00
00
00
10
01
01
00
01
00
10
00
10
11
00
00
11
00
11
11
00
11
10
00
00
01
11
00
01
10
11
01
11
10
00
11
10
00
00
00
01
10
00
10
10
00
11
10
00
00
01
00
00
11
10
00
00
00
10
11
10
10
00
10
01
10
10
11
01
01
10
00
10
11
00
00
10
11
10
00
10
11
00
00
00
10
00
00
00
00
00
11
01
01
10
00
11
11
00
11
11
00
00
11
01
01
11
10
00
11
10
00
00
10
11
10
10
01
11
11
00
01
10
10
00
00
00
10
01
11
11
10
01
11
10
00
11
10
01
01
00
10
10
10
00
00
11
01
00
11
01
10
10
01
10
10
00
01
10
00
10
11
00
11
10
01
11
10
01
00
10
11
01
10
00
10
10
10
10
00
10
10
10
11
00
00
10
10
10
00
01
10
11
00
00
10
10
10
11
11
00
01
11
00
00
10
01
11
10
00
10
11
10
00
00
00
10
10
10
00
10
10
00
11
01
10
11
01
10
01
01
11
10
00
00
10
00
00
10
11
00
11
10
10
10
00
01
00
00
11
10
10
10
10
01
11
11
01
10
00
10
00
00
10
10
10
10
01
01
00
11
00
00
10
10
00
00
10
10
10
00
00
00
00
11
10
10
10
10
00
10
11
00
10
10
01
11
00
10
10
11
00
00
00
11
10
10
01
00
10
00
01
10
01
00
11
00
01
10
11
11
10
10
00
10
11
10
01
00
00
10
10
11
10
10
10
00
00
01
00
10
10
01
00
00
11
10
11
11
01
00
01
10
01
10
10
00
10
11
01
10
00
11
11
01
10
01
00
10
10
10
10
01
10
00
00
10
11
01
11
11
11
00
11
00
10
01
01
10
00
00
00
11
01
01
10
11
11
01
11
00
11
10
10
10
10
00
00
10
01
01
01
11
00
11
11
00
10
10
01
01
11
10
00
00
11
10
01
01
11
10
00
10
00
10
10
10
00
01
11
00
00
00
10
00
01
11
10
00
01
00
10
00
00
10
11
10
00
00
01
10
01
01
10
00
11
00
00
10
10
01
00
11
11
00
01
10
10
11
00
00
00
10
10
10
11
11
10
00
10
00
00
10
10
11
00
01
11
10
00
11
00
01
10
11
00
10
10
00
00
00
00
10
10
01
10
00
11
00
00
11
00
10
00
00
00
00
10
11
10
11
01
00
00
10
11
00
11
10
00
10
10
01
00
01
11
10
10
10
10
10
10
01
01
11
10
00
10
10
10
01
10
10
11
10
10
10
00
01
10
01
10
01
10
10
00
11
10
00
01
10
10
10
10
00
11
10
01
10
00
10
10
00
10
01
00
00
00
11
10
00
00
00
11
00
00
10
00
01
00
01
11
01
00
00
10
10
11
10
00
00
01
10
10
00
00
00
11
00
00
10
10
00
10
10
00
00
10
01
10
01
00
10
10
01
10
11
11
00
01
10
00
01
10
10
00
11
10
00
10
11
10
11
00
01
10
10
00
10
00
10
00
01
10
11
10
10
10
10
01
00
00
10
11
00
10
01
10
10
10
01
01
11
11
10
00
01
00
00
11
10
00
00
10
00
01
10
01
11
01
01
01
00
10
01
10
00
00
11
10
10
00
01
10
11
00
00
00
10
10
00
00
10
01
10
01
10
00
11
01
00
00
11
11
00
11
00
10
00
11
00
11
10
00
11
10
11
10
10
00
01
10
00
00
11
00
00
11
10
11
10
10
00
10
10
00
01
10
00
10
01
01
10
10
01
00
10
00
00
00
00
01
10
00
00
11
00
10
10
10
00
00
00
00
10
11
01
10
10
10
10
10
00
11
00
00
00
11
11
11
01
10
00
10
01
01
10
10
00
01
01
10
00
11
11
00
11
00
10
11
01
00
10
10
00
00
11
00
01
10
10
10
11
10
11
10
00
10
10
10
00
00
10
00
10
10
11
00
10
00
01
10
10
01
10
01
00
10
01
00
01
00
00
10
10
01
10
10
00
10
10
10
01
00
11
11
00
00
11
11
10
00
00
11
10
11
00
01
01
11
00
00
10
01
11
00
01
11
01
01
10
00
00
10
11
11
00
11
11
10
10
11
11
10
00
00
11
10
00
01
11
11
00
00
10
10
01
10
01
10
00
10
10
11
00
00
11
01
00
11
10
01
11
01
00
01
11
11
10
00
10
10
00
00
10
00
10
10
10
10
00
00
00
00
10
11
01
00
11
11
00
01
10
10
10
11
00
10
10
00
01
10
10
00
00
11
11
10
00
00
10
00
10
11
01
11
11
00
11
00
01
10
10
00
00
10
11
00
10
11
01
01
11
01
10
11
11
00
00
00
10
11
01
00
10
10
00
11
10
01
01
10
10
11
10
10
01
00
10
10
00
00
10
01
10
00
10
11
01
10
10
00
10
00
00
11
11
00
00
10
10
10
00
10
10
00
00
00
10
11
10
00
01
00
01
10
01
00
00
11
00
01
11
11
01
01
10
11
00
01
11
10
10
01
01
01
00
10
00
10
00
01
00
10
01
11
01
00
01
10
10
00
00
10
10
10
00
00
00
10
01
10
01
01
10
00
10
10
10
01
00
01
11
11
00
11
01
00
00
00
10
00
00
10
10
01
01
11
10
00
01
00
11
10
00
00
10
01
00
00
11
10
11
01
00
10
10
00
01
00
10
00
00
00
00
00
10
10
10
00
10
10
00
11
00
10
00
00
10
00
01
10
01
00
10
00
01
10
00
00
10
10
10
11
00
11
10
10
01
11
11
01
00
11
10
01
01
11
01
01
01
11
10
00
00
10
10
10
01
00
01
10
11
00
00
10
10
01
00
01
01
00
10
10
10
00
00
10
10
00
00
11
00
00
10
10
10
00
00
10
00
11
00
01
00
00
11
01
10
10
11
00
10
01
11
10
00
00
01
10
11
00
10
10
11
00
01
01
11
00
00
11
10
01
10
01
10
10
10
01
00
00
10
10
10
00
00
10
10
00
10
11
00
10
00
00
10
01
00
10
11
00
11
10
01
01
10
10
00
00
01
10
10
10
00
01
01
00
10
01
00
10
00
11
10
11
10
00
10
10
00
10
01
00
10
10
00
11
00
10
11
10
00
10
10
01
10
00
00
10
11
00
11
10
01
01
11
10
00
00
11
00
00
00
11
00
00
10
11
10
10
00
01
10
10
11
00
10
00
10
10
10
00
01
11
00
11
01
00
10
10
01
00
01
11
01
01
00
00
00
10
11
01
00
10
10
01
10
10
10
00
11
10
00
00
00
00
10
00
00
00
00
00
10
01
01
10
11
11
00
11
00
01
10
00
01
11
01
01
00
10
11
10
11
00
00
00
11
10
00
10
10
11
00
00
10
01
00
01
10
01
11
11
10
01
00
10
00
00
10
10
10
00
10
10
10
00
10
00
11
10
11
00
01
00
01
10
11
10
00
00
10
00
00
00
11
10
00
01
11
00
11
10
00
00
00
00
10
10
00
00
00
11
00
00
10
10
01
10
10
10
10
10
01
00
01
10
01
11
10
00
00
10
01
10
10
00
00
11
11
00
10
01
10
01
10
10
01
10
01
01
10
11
00
10
10
01
01
10
11
00
01
00
00
10
01
00
10
01
00
00
10
00
11
10
00
10
11
01
11
00
00
00
10
10
10
00
10
00
11
10
10
00
00
10
10
11
00
11
11
00
01
10
01
01
00
11
10
01
00
10
10
11
00
01
11
11
11
00
10
10
10
11
00
00
01
00
10
10
00
01
11
10
11
11
01
11
10
01
01
10
11
01
01
11
11
01
01
11
01
11
10
00
01
10
11
00
00
00
11
11
10
01
11
10
00
01
00
11
10
00
00
00
10
01
00
10
10
00
00
01
10
11
01
00
01
11
10
01
01
10
01
10
11
11
10
00
10
10
00
00
10
00
00
01
10
01
00
10
01
10
01
01
01
10
10
00
10
10
01
01
10
10
11
10
00
10
10
10
00
10
11
11
00
10
00
10
10
11
00
00
00
01
11
11
10
00
10
10
10
01
00
01
00
10
00
00
11
10
10
00
11
11
10
10
00
00
10
10
00
10
00
01
10
00
01
10
10
10
10
00
00
01
11
10
00
10
00
01
00
10
11
00
10
00
00
01
01
00
00
10
10
00
01
01
11
11
10
10
11
00
01
10
00
10
01
00
00
00
10
10
00
11
10
00
10
01
00
10
10
01
00
01
10
01
01
10
01
10
11
10
00
00
11
00
11
00
01
00
10
10
00
10
10
00
01
01
11
10
11
10
10
10
00
01
11
00
01
11
10
11
01
01
11
11
10
10
10
10
01
00
10
10
01
00
00
10
01
10
11
00
11
00
11
10
00
00
10
00
10
01
00
10
00
00
00
00
10
01
11
10
10
10
11
00
10
11
01
00
01
10
00
11
10
00
00
10
11
10
01
00
00
00
10
00
10
00
10
00
10
10
00
01
00
11
00
10
11
01
11
10
01
10
01
10
01
01
11
01
00
01
10
10
01
10
10
00
00
00
10
10
00
01
11
11
10
10
11
00
10
10
00
00
11
01
10
10
00
10
10
00
00
10
10
01
00
01
00
11
10
11
11
00
11
00
00
00
00
10
10
00
00
10
00
10
10
11
00
01
10
10
10
11
11
10
00
00
11
10
11
10
10
11
00
01
11
00
00
10
10
11
01
01
10
01
00
10
11
11
10
00
00
00
01
01
00
11
10
10
00
10
11
10
01
01
10
10
00
01
10
01
00
00
01
00
01
10
10
01
01
10
11
01
01
00
11
11
01
00
10
01
00
10
10
10
00
11
01
01
10
00
11
11
11
10
00
00
01
00
00
10
00
00
10
01
10
10
00
00
10
01
01
00
11
01
00
11
00
00
00
10
01
01
00
01
11
00
00
00
10
11
01
00
00
11
01
11
00
01
10
11
10
10
01
01
01
10
10
01
00
11
01
01
10
10
10
00
10
01
11
10
00
10
00
01
01
11
11
10
01
10
11
00
11
01
10
00
00
11
10
00
00
00
00
10
10
10
00
00
10
00
10
00
01
00
00
00
11
00
11
10
00
11
11
10
01
10
11
11
10
10
00
01
11
00
00
00
10
10
10
00
00
01
11
00
01
01
10
00
11
10
00
00
11
11
10
00
11
01
00
10
00
00
10
10
00
00
11
11
10
10
10
11
00
01
10
01
00
10
11
00
10
10
10
00
11
00
11
10
00
10
00
00
00
10
11
11
01
10
00
00
11
10
00
00
11
00
00
11
01
10
01
00
00
11
10
00
00
00
11
10
00
01
10
10
01
11
00
11
10
10
01
00
10
11
10
10
00
00
00
00
10
01
10
00
10
10
00
11
00
00
10
00
10
11
00
00
10
11
11
10
10
11
11
11
11
00
00
11
10
10
00
00
10
00
10
11
10
01
10
10
10
10
11
00
10
00
10
00
11
01
00
10
00
10
10
01
10
00
10
11
00
00
00
11
00
01
01
00
10
00
00
10
10
10
10
00
01
11
11
00
01
11
11
01
10
00
00
00
10
00
01
10
11
10
11
10
00
01
00
10
10
00
00
00
10
10
01
10
10
11
10
10
00
01
00
11
10
11
10
00
10
10
10
00
11
11
00
11
10
00
00
10
10
01
10
10
00
11
11
01
11
10
10
00
00
10
10
00
00
10
00
10
00
11
10
00
01
11
01
11
10
10
10
00
00
01
10
10
00
01
01
10
10
10
11
00
10
10
01
00
11
00
11
11
11
11
00
01
01
00
11
00
00
00
10
11
10
10
01
00
01
00
00
10
00
10
01
10
10
10
00
10
01
01
01
10
11
01
00
11
10
00
00
10
10
10
01
00
00
00
00
00
10
10
00
01
00
10
00
10
10
11
10
00
01
00
10
11
11
00
00
10
10
10
10
11
01
10
00
00
10
00
01
00
10
10
10
01
10
00
00
00
00
01
11
00
01
10
11
01
10
00
00
10
10
10
10
10
11
11
11
01
00
00
00
10
10
01
00
10
11
00
11
10
01
01
10
10
10
10
10
00
00
01
11
10
10
00
10
11
00
11
00
00
10
10
11
01
00
10
10
11
01
10
00
00
11
01
10
00
10
00
00
00
00
10
10
10
11
00
10
00
01
11
10
00
11
00
10
00
01
10
10
00
01
11
01
01
10
01
00
00
11
10
00
01
00
10
10
01
00
10
11
01
10
10
10
11
10
10
10
00
00
11
00
11
10
00
00
10
10
00
00
01
00
10
10
10
10
00
10
10
11
01
10
01
00
11
11
00
11
01
00
11
10
00
11
10
01
10
00
11
00
01
10
10
00
10
10
00
00
10
11
00
10
00
10
00
00
01
10
00
00
00
10
10
11
00
01
00
00
10
11
11
10
11
10
00
00
00
00
10
10
00
11
01
11
10
01
01
10
10
00
00
00
10
11
11
00
01
01
10
11
11
01
10
01
00
11
10
01
10
10
00
01
00
11
01
01
11
10
10
00
11
00
00
10
10
01
11
00
10
10
11
10
10
10
01
01
00
10
00
00
00
00
10
01
01
10
10
11
10
00
10
10
00
00
01
00
10
00
11
00
01
11
00
10
11
10
11
00
00
00
10
00
01
00
11
00
10
10
01
00
00
00
11
10
01
00
11
10
11
00
01
10
01
10
10
10
00
00
10
11
10
10
01
00
10
01
00
00
10
01
00
00
11
10
00
10
01
01
00
10
00
00
10
00
10
00
00
10
10
10
10
11
00
11
00
00
10
11
00
10
01
00
10
00
00
10
11
00
01
10
00
00
10
10
11
10
10
01
11
00
00
10
10
10
00
00
10
00
00
01
11
00
10
01
10
11
10
01
11
11
01
00
00
11
11
01
00
01
00
11
10
00
10
11
01
00
01
10
11
11
10
00
00
01
10
10
10
00
10
10
01
00
10
01
10
00
11
11
10
00
00
00
10
10
00
10
00
11
11
11
10
00
00
10
10
00
10
00
10
10
01
10
01
10
10
01
10
10
10
11
10
10
11
10
00
00
10
00
00
11
01
11
11
01
01
01
10
10
01
01
10
01
11
11
00
11
11
11
01
01
11
11
10
01
00
00
00
11
11
01
10
11
00
10
00
00
01
10
01
01
11
01
10
11
00
01
10
10
11
11
01
00
10
10
01
00
00
00
00
00
01
10
01
01
00
00
10
10
11
01
01
01
10
00
10
11
01
00
10
11
11
00
00
01
00
11
11
00
10
00
11
11
00
00
10
10
10
10
00
01
10
00
10
10
01
00
10
10
11
10
10
01
11
10
10
10
10
10
11
00
01
00
11
11
01
11
00
01
10
01
10
10
00
00
00
00
11
10
11
00
01
00
10
01
11
10
01
11
10
11
11
01
11
11
01
10
00
00
01
10
10
01
00
00
10
11
10
11
11
00
00
00
10
10
10
00
00
00
00
10
10
10
00
00
10
00
10
01
10
11
11
01
10
00
10
01
01
10
10
00
10
00
11
10
00
01
10
00
10
01
00
11
11
10
01
10
10
11
00
00
00
00
10
10
01
10
10
01
00
01
10
00
10
00
00
00
00
11
10
10
00
11
11
11
10
01
10
11
11
11
00
01
10
10
11
10
00
00
00
10
00
00
10
01
11
10
00
00
11
10
00
11
00
10
11
00
00
11
10
01
10
10
10
10
10
11
00
00
10
00
10
01
10
10
10
00
00
00
10
00
01
01
10
00
00
00
10
10
10
10
00
00
11
10
00
01
11
01
10
01
10
00
00
11
01
00
11
10
01
10
10
00
00
10
10
00
01
10
00
00
11
00
00
10
10
01
00
10
01
01
10
10
11
00
11
00
10
11
11
10
01
00
01
11
10
10
11
01
11
01
00
11
00
10
10
10
10
01
01
10
00
01
00
10
00
00
00
00
00
11
00
00
10
10
10
10
00
10
10
00
10
10
10
00
11
10
01
01
11
10
11
10
10
00
00
00
10
00
00
01
10
11
10
10
11
10
00
01
00
10
01
10
00
00
10
10
11
10
00
10
11
00
01
11
10
01
01
00
00
11
10
11
10
00
00
10
00
01
01
10
00
00
11
10
10
01
10
10
00
10
11
00
00
11
01
00
01
11
10
10
10
00
00
00
01
10
10
10
00
01
11
10
00
00
11
01
10
00
00
10
10
10
01
10
10
01
11
00
10
11
00
01
10
11
10
11
00
10
10
01
10
10
00
00
11
10
11
10
00
10
10
00
10
10
00
11
11
10
10
00
11
10
00
01
10
00
00
00
00
01
11
11
00
01
11
01
00
11
00
00
00
01
10
11
00
00
00
11
00
10
01
10
01
01
00
11
10
01
11
00
00
11
01
00
00
01
11
01
10
11
10
11
00
00
01
11
01
00
10
10
00
00
10
10
00
00
11
10
00
01
01
00
01
10
01
11
11
01
00
01
10
11
10
01
00
10
00
11
10
00
00
11
00
01
11
10
10
10
01
01
10
01
00
10
00
10
10
10
00
00
00
10
11
10
11
10
00
00
10
10
00
00
10
10
00
11
00
10
00
00
11
10
00
01
01
10
10
01
00
10
11
00
10
11
00
11
11
01
00
01
10
10
10
00
10
10
01
00
11
10
01
10
11
10
10
00
10
00
11
01
01
10
01
01
00
11
00
00
10
10
10
10
01
10
00
00
10
11
01
10
10
00
00
10
11
10
00
00
10
10
10
11
00
10
11
00
10
00
00
00
01
11
11
00
11
00
11
10
01
10
00
00
11
10
00
10
10
00
00
11
10
01
00
11
10
10
00
00
00
01
00
01
00
10
10
10
01
10
00
01
00
10
00
10
01
10
10
00
01
10
11
00
00
11
00
00
10
00
11
10
10
11
01
11
00
01
00
10
00
01
10
00
01
11
10
11
00
10
10
00
01
10
10
01
10
01
11
00
00
11
11
00
11
10
00
11
10
10
00
00
11
00
00
10
10
01
11
10
00
01
10
11
00
11
00
00
00
10
11
10
11
01
00
10
11
01
01
10
10
11
10
10
00
10
00
00
10
01
10
00
01
10
10
10
01
00
00
11
00
10
10
10
01
10
10
00
11
00
10
11
00
10
00
10
01
10
10
01
10
10
11
11
00
00
01
10
00
00
10
01
01
10
10
00
10
00
00
10
10
10
10
01
00
10
10
00
10
00
00
00
00
10
10
10
00
10
11
10
10
10
11
00
01
00
00
11
10
11
11
00
00
10
00
00
01
11
11
11
00
10
00
10
11
10
00
00
11
11
10
01
01
10
00
10
10
10
10
10
00
00
00
10
11
01
00
00
00
00
11
10
10
10
00
00
11
11
00
00
10
10
11
11
00
10
11
01
01
10
10
01
01
01
10
10
00
00
01
00
10
11
00
11
10
10
00
00
00
10
11
10
01
11
00
11
10
00
10
10
00
00
00
10
11
01
00
10
10
10
10
10
01
11
10
10
11
00
11
11
01
10
10
00
00
01
10
01
11
10
00
00
00
10
10
10
00
00
11
10
00
00
00
10
00
00
10
10
10
10
01
10
00
00
11
10
10
10
00
10
00
00
00
10
11
11
10
11
00
00
00
11
10
10
10
00
01
00
10
10
11
01
10
01
10
10
10
11
10
10
10
00
01
00
11
10
10
00
00
10
11
00
01
10
11
10
11
00
01
01
01
00
10
00
00
01
10
10
10
00
01
11
00
00
10
00
00
10
10
01
00
10
10
10
00
11
10
01
00
01
10
01
10
10
10
00
01
10
01
00
10
00
00
01
10
10
01
11
01
11
01
00
01
00
01
10
00
00
10
00
00
10
00
11
10
10
11
00
10
01
10
00
10
00
00
01
00
10
11
10
11
10
11
00
00
11
00
00
10
10
00
11
11
10
11
00
10
10
10
10
11
11
01
00
01
10
00
00
11
01
00
01
10
10
10
00
10
10
01
00
00
00
11
10
00
00
01
10
00
00
10
00
00
10
10
10
10
00
11
10
00
00
10
10
00
00
10
11
00
00
00
00
10
01
10
10
01
10
01
11
10
10
11
00
01
10
10
11
11
10
10
11
01
10
01
00
10
00
00
11
10
10
00
11
10
00
10
00
00
00
10
11
10
00
11
11
01
11
10
11
00
00
00
01
11
11
00
01
00
01
11
11
00
01
10
10
00
11
11
01
01
11
10
00
11
00
11
10
00
01
00
10
11
10
10
10
00
01
01
00
00
00
11
01
10
10
10
00
10
01
10
11
01
01
00
00
01
10
00
00
00
00
10
01
10
00
11
01
01
10
00
01
11
10
11
10
10
01
10
10
00
11
11
00
10
00
00
11
10
10
00
11
01
10
10
00
10
00
00
11
10
10
00
00
00
11
10
10
00
01
01
11
10
01
00
00
10
10
01
00
11
11
00
01
10
01
01
01
00
01
10
10
10
00
00
10
01
10
10
00
00
11
01
00
00
00
11
01
01
00
11
11
01
11
00
10
10
00
00
11
10
01
11
00
10
00
00
10
00
00
11
10
01
01
10
11
10
11
10
10
00
00
10
10
01
00
01
10
01
10
10
00
00
00
10
00
00
00
00
11
00
11
00
10
10
11
10
11
00
01
01
10
11
00
00
10
11
01
11
00
01
00
00
10
01
00
10
10
10
10
10
11
11
10
00
10
10
00
00
10
11
11
01
11
00
00
10
10
10
11
01
00
00
11
00
10
00
10
00
10
10
01
10
10
00
10
00
00
10
00
00
10
00
01
00
10
00
00
11
00
01
11
01
01
11
01
01
01
10
01
00
10
00
00
10
11
11
00
10
00
00
10
10
01
00
11
00
01
10
01
10
10
01
00
11
11
10
00
10
00
00
10
01
10
10
00
01
10
11
01
01
11
10
00
01
10
11
00
10
11
10
01
00
10
10
10
10
11
10
01
00
00
11
00
00
00
10
11
11
00
01
10
01
00
00
10
11
11
00
10
10
10
10
01
00
00
10
00
01
10
00
01
10
11
00
00
10
11
11
00
11
10
00
00
00
11
11
01
01
10
00
11
10
01
10
01
00
10
10
01
11
11
10
01
10
10
10
11
00
00
11
10
11
01
00
10
00
00
10
11
01
10
10
10
11
01
10
10
10
10
00
10
00
00
11
10
10
00
11
01
00
11
01
00
10
10
01
00
10
00
10
00
11
10
00
11
00
10
11
01
10
10
00
00
00
11
11
01
11
00
00
01
10
11
10
00
00
11
00
01
00
11
10
00
00
00
10
10
00
10
00
11
10
10
01
10
10
01
00
01
01
10
11
00
00
00
00
00
10
11
00
10
11
00
00
01
10
10
00
11
10
00
10
00
01
10
10
10
10
10
11
10
00
00
10
00
00
00
11
00
00
01
11
00
10
11
00
00
11
11
11
00
00
01
10
01
00
11
11
10
10
00
00
10
10
01
00
10
10
00
01
01
10
00
10
00
00
10
10
01
00
11
11
01
10
10
00
00
10
11
10
00
00
00
00
10
01
00
10
00
11
11
11
10
00
00
00
10
11
10
00
11
00
00
10
01
10
00
00
11
10
00
10
10
01
10
01
00
11
11
00
00
10
11
00
01
10
11
01
11
10
01
00
00
00
01
01
11
10
01
00
00
10
11
00
01
10
11
00
00
10
11
00
00
10
10
01
00
11
00
10
10
10
11
00
10
11
01
11
01
01
10
10
00
00
00
10
10
11
10
00
01
00
00
01
01
00
01
10
10
00
10
00
01
01
00
10
00
00
00
00
11
00
11
00
00
00
10
10
00
01
00
00
00
01
11
00
11
11
01
10
10
01
01
01
10
10
01
10
10
00
10
10
01
00
00
00
11
00
01
11
00
00
01
10
01
00
11
00
00
10
11
11
00
10
00
10
00
00
00
00
01
10
11
11
00
11
00
11
00
01
10
00
11
10
00
01
11
00
00
10
10
10
00
00
01
00
10
11
00
00
01
01
01
10
10
10
01
00
10
00
00
11
00
00
00
11
01
00
11
11
10
00
00
00
10
01
00
10
10
00
01
00
11
10
10
11
00
00
11
10
01
01
01
00
10
10
00
00
10
10
00
11
10
10
00
00
10
01
00
00
00
10
11
11
10
01
01
00
10
11
00
10
01
01
10
11
00
11
10
00
01
10
10
10
01
00
01
00
01
10
10
00
11
00
10
00
00
01
10
10
00
01
10
00
01
10
01
10
10
11
11
00
00
10
10
10
00
00
00
01
11
11
11
10
00
01
01
00
10
01
11
10
11
01
11
01
00
00
01
11
10
01
00
10
10
00
11
01
10
00
11
10
11
01
01
00
10
01
11
00
10
10
10
00
00
01
10
10
00
01
00
01
01
11
01
01
10
10
01
00
00
11
10
11
10
00
00
00
11
01
01
10
11
10
00
00
11
00
01
11
10
10
10
01
00
00
10
00
00
10
10
10
00
00
11
00
10
10
01
01
10
00
00
11
11
10
10
10
00
10
10
00
10
11
10
00
10
10
10
10
00
01
10
11
00
00
00
00
11
10
01
01
01
10
10
10
01
01
10
10
00
01
10
00
10
10
00
00
10
10
00
00
11
11
00
01
01
00
00
00
10
00
00
10
00
01
10
10
10
01
10
00
00
10
00
00
10
01
00
01
11
01
00
01
10
01
11
00
10
10
00
00
10
10
00
01
10
01
10
11
10
10
00
10
11
10
00
00
10
00
10
01
00
10
10
11
11
01
00
10
00
10
00
10
11
00
10
00
10
01
01
10
00
10
01
00
11
10
11
00
00
10
11
10
00
01
10
10
00
00
10
00
00
00
00
10
00
10
01
01
11
10
10
00
11
11
01
00
10
10
10
00
00
11
10
01
10
11
01
01
00
10
10
10
00
10
00
00
00
10
11
00
01
00
00
01
00
11
00
10
10
01
10
00
00
11
10
00
00
11
11
00
10
00
00
01
10
01
11
11
10
01
00
11
10
00
10
11
01
01
10
10
10
10
11
01
00
10
00
10
00
11
10
00
00
00
10
10
00
01
10
01
10
10
00
01
01
11
11
00
01
11
01
11
10
00
10
10
10
00
00
11
00
10
01
00
10
11
00
10
00
00
11
10
00
01
10
01
01
01
10
00
01
10
11
00
01
10
01
00
11
00
00
10
11
00
10
01
00
10
10
00
01
10
10
01
11
11
11
00
00
00
01
11
10
00
01
10
10
10
10
01
10
10
00
01
10
01
00
00
00
10
11
10
01
00
00
00
00
10
10
00
01
11
10
01
10
11
10
00
00
10
00
00
01
10
10
10
10
00
01
00
00
11
00
01
10
10
00
10
10
10
01
00
00
10
11
00
00
00
10
00
10
10
11
00
11
00
11
10
00
10
10
10
01
10
01
10
00
11
01
10
10
00
10
10
01
10
00
00
10
01
10
10
00
00
10
00
00
00
11
00
01
10
01
00
10
10
10
00
10
10
00
11
10
00
10
10
00
10
10
00
00
01
11
10
11
00
00
10
00
10
10
00
11
10
00
00
00
00
11
00
00
10
01
00
11
10
11
00
00
11
00
01
11
11
00
00
01
01
11
10
10
00
01
10
00
11
10
10
00
10
01
00
00
10
10
00
00
10
10
11
01
10
11
11
00
11
10
00
00
10
10
10
00
00
00
11
10
01
10
11
01
01
01
11
01
10
00
00
00
10
11
00
00
00
00
01
10
00
10
11
00
10
10
01
00
00
10
00
10
11
11
10
11
01
10
11
10
00
11
00
10
01
10
00
00
10
01
01
10
00
10
11
00
00
11
10
10
00
00
01
00
11
10
10
01
00
11
10
00
01
10
10
10
00
00
10
10
10
10
00
00
01
01
00
00
11
00
11
11
01
00
00
00
11
11
11
01
00
10
10
10
11
10
00
00
01
11
00
10
10
10
10
01
00
11
11
01
11
00
11
01
00
10
11
00
01
01
10
11
00
00
01
10
10
01
10
11
00
11
10
00
00
00
00
11
00
11
00
01
01
00
01
10
10
00
10
10
10
01
00
00
01
10
10
01
01
11
10
00
00
00
10
10
10
01
11
10
11
10
00
00
00
01
01
10
10
10
00
10
10
10
10
00
10
10
11
11
11
00
11
00
00
00
00
11
11
00
01
00
00
00
00
11
11
10
10
00
00
01
00
10
00
00
11
11
00
11
00
11
10
01
00
00
11
10
01
01
10
01
10
10
00
01
10
00
00
01
10
01
10
11
00
01
10
00
10
00
10
10
01
10
00
00
00
10
00
10
00
11
10
10
10
00
10
01
00
10
11
00
00
11
11
10
10
00
01
00
10
00
11
11
10
10
01
11
10
01
01
10
11
10
10
00
00
10
10
01
01
11
00
00
11
00
11
00
00
11
11
00
10
00
00
10
10
10
00
00
00
10
01
10
00
10
10
10
10
11
00
00
01
01
01
10
00
00
10
01
11
11
00
11
10
01
10
11
00
00
00
11
10
01
10
01
10
10
11
00
01
10
10
00
00
01
01
11
11
10
00
00
01
10
00
11
01
00
00
10
11
11
00
11
10
00
00
11
10
11
00
00
11
00
00
11
11
01
11
10
00
00
10
10
01
00
10
10
01
10
00
10
00
11
00
00
00
01
01
01
10
10
01
00
11
10
01
10
00
10
11
00
01
01
11
00
01
10
11
11
00
01
11
00
00
10
11
11
00
00
11
10
00
10
10
00
00
00
10
10
01
10
00
10
01
10
00
10
11
11
01
00
10
00
00
01
00
10
10
00
00
00
10
11
00
10
00
00
00
00
00
10
01
10
00
00
10
00
11
00
00
00
11
10
10
00
10
01
10
00
00
01
01
10
10
00
11
01
11
10
10
00
00
11
11
01
01
11
00
00
01
01
00
11
10
01
00
11
00
10
10
00
00
11
11
01
11
11
10
10
01
10
00
01
10
10
10
10
00
00
11
11
00
11
10
00
10
01
11
00
00
10
10
10
10
01
00
11
10
00
10
01
01
11
01
01
00
01
00
01
00
10
10
11
01
01
01
10
00
00
10
11
00
01
10
11
00
01
10
00
11
01
01
11
00
11
01
00
10
10
00
00
00
10
00
00
00
00
11
11
00
11
00
00
10
01
11
10
10
00
00
00
10
00
01
01
10
10
10
00
00
00
11
10
00
01
11
00
00
10
00
00
10
00
00
00
11
10
10
10
11
10
00
01
00
00
01
11
10
01
00
00
11
00
00
10
10
00
10
00
00
11
11
10
10
11
00
01
10
00
00
10
00
00
01
11
11
00
01
11
01
00
00
10
10
10
01
00
10
10
00
01
00
01
10
11
00
01
11
11
10
00
10
10
00
01
00
10
10
01
00
00
10
00
10
10
11
00
10
10
10
00
01
00
10
10
00
00
11
00
10
10
00
10
01
00
10
01
10
10
00
01
00
01
10
10
11
11
10
00
01
11
10
10
00
00
10
10
00
00
10
10
00
10
10
00
00
01
10
00
01
10
11
10
00
00
00
10
11
00
01
11
10
10
10
11
10
00
00
10
10
10
01
10
00
00
00
00
00
00
00
11
11
01
10
00
10
00
11
01
01
11
10
10
10
01
01
00
01
10
00
01
10
10
10
10
00
01
10
11
10
00
01
11
10
01
00
00
10
10
01
01
00
10
00
11
00
10
00
11
10
00
10
10
01
00
10
01
00
10
11
01
00
10
10
00
00
10
10
01
01
01
11
01
00
10
10
10
00
00
10
11
00
11
01
10
00
00
00
00
10
00
11
10
01
10
11
01
00
10
10
00
00
11
11
10
01
00
01
10
00
00
00
00
10
11
00
00
10
01
10
01
00
11
10
00
10
00
10
10
00
00
11
00
00
00
10
10
01
00
01
11
10
11
11
10
00
00
01
11
00
00
10
10
00
00
01
10
01
11
11
01
01
10
10
10
00
00
11
10
01
10
01
10
01
00
10
01
10
00
00
00
11
01
00
11
11
00
10
11
00
10
10
10
10
01
00
00
01
11
00
10
10
00
11
00
01
11
11
01
01
00
10
11
00
01
10
11
00
11
11
10
11
00
00
10
00
11
10
10
10
00
00
00
00
11
10
00
01
10
11
00
01
10
00
10
10
00
00
00
11
10
11
00
00
00
10
10
00
01
10
00
10
10
11
10
00
00
01
11
00
11
11
10
01
10
10
00
00
11
00
00
11
11
00
10
11
00
00
00
01
10
10
11
11
01
01
01
10
11
10
10
00
00
10
10
00
00
10
10
00
10
00
11
11
01
01
10
10
00
00
01
00
11
01
01
10
01
11
01
00
00
10
11
00
10
10
01
00
00
01
10
11
10
01
00
00
00
10
00
00
01
10
00
00
00
01
11
11
10
00
00
10
01
01
10
10
00
00
01
01
10
10
10
00
10
00
10
00
01
01
11
11
00
01
10
00
01
00
10
10
11
10
10
01
10
01
00
10
00
00
01
10
00
00
00
10
01
01
11
01
10
10
00
00
01
01
01
10
00
00
10
10
11
00
10
10
00
00
01
10
10
01
10
11
00
00
10
00
01
10
11
01
00
11
11
01
10
10
00
00
00
10
01
01
11
00
00
10
11
00
00
00
11
10
00
00
10
00
00
10
10
10
01
11
11
01
11
10
11
00
11
10
01
00
11
10
01
11
00
01
11
00
00
10
00
00
11
10
11
00
11
00
00
11
00
11
11
10
00
00
10
11
00
00
10
11
11
11
11
00
00
10
10
01
00
11
10
00
10
10
00
00
11
10
00
00
00
00
10
01
00
10
10
11
10
10
11
01
11
10
11
10
01
00
10
10
00
00
10
10
00
00
10
10
01
10
11
00
01
10
00
10
10
01
10
01
00
00
00
11
10
00
00
11
11
10
00
00
10
11
10
10
00
00
10
10
10
10
10
00
00
11
00
00
00
10
10
00
10
01
00
01
00
10
01
00
01
10
11
00
11
00
00
00
11
10
00
01
10
10
00
01
11
01
00
10
10
00
00
01
00
01
11
10
00
01
11
10
10
00
00
01
10
10
00
00
11
00
11
01
11
10
00
11
10
10
00
00
11
10
10
11
00
00
01
10
01
10
10
00
00
10
00
00
11
10
01
00
11
11
11
10
00
00
00
00
11
11
00
01
11
10
00
10
10
10
10
01
00
10
10
11
10
00
11
00
00
11
00
00
00
11
10
01
01
10
11
11
11
01
11
00
10
00
00
11
00
01
00
11
11
00
00
00
11
11
11
00
01
10
11
10
00
10
11
00
01
00
00
00
10
10
11
00
01
10
10
10
00
10
10
10
00
10
01
00
11
00
00
00
10
10
00
11
10
01
10
00
00
10
10
00
01
00
11
10
11
10
00
10
10
10
01
00
11
11
01
11
00
10
00
00
00
11
11
00
10
10
00
00
01
00
10
00
10
10
10
10
01
00
01
00
10
10
00
00
10
11
11
11
00
00
11
00
01
00
01
10
11
00
11
01
00
10
11
00
11
11
11
00
01
11
01
00
11
00
01
01
00
11
10
00
00
00
10
00
00
10
00
00
01
00
01
00
11
01
00
00
00
10
00
00
10
10
10
01
10
11
00
11
00
01
00
00
10
01
10
10
10
10
11
10
01
00
11
10
10
00
01
01
10
00
00
00
00
10
11
00
00
10
10
00
10
10
11
11
01
11
10
01
11
10
11
00
01
10
10
01
00
00
10
00
01
00
00
10
01
01
10
11
10
01
00
11
01
00
11
00
10
10
10
11
01
01
10
10
01
11
00
10
11
00
00
01
10
10
00
01
00
10
00
10
10
10
00
00
00
01
11
00
00
11
10
01
10
10
11
00
00
00
10
10
01
00
10
00
00
01
11
01
11
10
01
00
11
00
00
10
10
10
00
00
10
01
00
10
11
01
11
00
10
10
00
00
10
00
00
10
00
10
00
10
00
00
01
10
00
00
00
11
01
10
10
00
11
00
10
00
01
00
00
00
10
10
10
00
00
01
00
11
00
10
11
00
11
00
10
10
11
00
01
01
10
10
00
10
11
00
01
10
10
00
01
10
11
01
10
00
11
01
00
00
11
10
00
01
00
10
00
00
11
00
01
10
00
10
00
10
11
10
01
00
00
10
00
00
10
00
00
00
10
00
01
00
10
10
10
00
00
00
11
10
10
00
10
10
00
01
00
11
10
00
00
10
00
10
01
00
00
11
10
10
00
11
00
11
11
10
10
10
01
01
11
10
10
10
10
01
10
10
00
10
11
01
10
00
01
10
01
11
11
10
00
01
10
10
00
11
11
01
01
11
00
00
00
00
00
10
11
00
01
11
11
01
10
10
00
00
00
01
10
10
00
10
00
01
10
11
00
00
10
01
00
10
01
10
10
00
00
01
01
11
10
00
11
10
00
10
01
00
00
01
01
00
00
01
10
10
10
10
00
11
00
00
10
10
10
00
11
10
00
01
01
10
00
00
01
10
00
00
10
10
00
01
11
00
00
00
11
00
11
10
10
00
01
00
00
00
11
00
01
11
00
10
00
01
11
00
00
11
01
10
11
00
11
10
00
00
00
00
10
10
00
00
01
01
10
11
00
00
10
10
10
00
00
10
10
00
00
11
00
11
10
00
11
01
10
11
01
00
00
10
10
10
01
00
01
00
00
10
01
11
10
00
00
01
11
01
11
10
10
00
10
01
10
10
00
10
00
10
00
10
01
10
01
11
10
00
11
00
01
00
10
11
01
11
11
11
01
11
11
00
00
00
10
11
00
01
10
01
00
00
01
00
00
10
00
10
00
10
00
10
01
00
00
10
11
01
11
11
01
00
00
10
01
11
11
11
01
00
00
10
10
10
01
01
11
11
01
00
00
00
10
10
00
01
10
01
11
01
10
10
11
00
11
01
10
10
00
00
00
10
10
11
10
01
01
10
00
10
11
10
10
00
10
10
10
10
00
11
01
00
00
11
10
10
01
01
01
01
00
11
10
11
10
00
00
00
00
10
00
01
00
10
10
10
10
00
01
01
11
10
01
10
01
01
10
00
00
00
10
10
10
10
01
10
00
10
00
01
10
00
00
00
00
00
01
11
10
10
11
01
00
00
10
11
00
11
00
01
11
00
10
11
10
01
01
11
01
01
01
10
00
01
01
10
10
11
00
00
00
11
00
10
10
01
10
10
10
00
01
00
11
11
01
01
01
00
11
10
00
10
00
00
10
10
10
11
10
11
11
10
00
10
00
00
01
10
10
01
00
11
10
00
00
11
11
01
00
00
01
10
01
00
01
10
10
10
10
00
00
00
11
10
00
11
00
10
01
00
00
00
00
10
10
10
11
00
10
01
10
10
01
11
00
00
10
10
10
10
01
11
00
01
11
01
10
01
10
10
10
00
00
10
01
11
00
00
10
10
01
11
11
00
01
00
10
00
11
01
00
00
10
01
00
00
10
01
00
10
10
10
00
10
11
01
00
01
10
11
11
00
10
01
00
10
00
01
10
01
00
01
10
10
10
11
10
00
00
10
00
00
10
01
00
10
00
11
10
10
11
01
10
00
01
00
11
00
00
10
01
10
00
00
10
00
00
11
10
11
00
10
00
01
10
10
01
00
00
11
00
00
11
00
10
10
10
10
00
11
00
00
10
00
10
00
01
11
10
00
11
00
00
01
11
11
00
11
10
00
00
00
10
11
00
10
01
10
10
10
01
00
11
01
01
11
00
00
10
10
01
01
10
10
10
01
10
11
00
10
11
00
00
10
10
00
11
10
00
00
10
01
10
00
11
01
10
11
10
00
11
10
11
10
00
00
11
10
00
10
11
10
10
00
11
00
00
00
10
11
10
10
01
00
10
10
01
00
00
10
01
10
10
10
10
10
10
10
00
00
00
10
11
11
11
00
00
10
11
01
11
10
11
00
00
10
10
00
00
10
10
10
01
00
01
00
00
10
11
01
11
10
10
11
10
00
01
01
11
11
00
01
01
10
10
10
00
00
10
01
01
00
10
11
10
00
10
01
01
00
01
00
11
11
01
10
11
00
00
10
01
00
11
00
00
11
11
01
10
00
11
01
00
10
01
00
00
00
10
11
00
00
10
01
00
00
11
01
00
00
10
10
00
10
01
01
10
00
01
01
00
01
10
10
10
11
01
10
00
00
01
11
10
11
10
11
10
10
00
01
00
11
10
00
11
10
00
10
10
00
00
10
01
00
10
11
00
01
11
10
11
11
00
00
00
11
00
00
10
10
11
00
00
10
01
11
00
10
00
10
00
00
11
10
10
10
00
11
10
00
00
10
00
00
11
10
10
00
00
00
01
00
10
11
10
00
00
10
10
00
11
10
11
00
01
00
01
00
00
10
10
00
10
11
00
01
11
00
00
00
10
10
00
00
01
10
10
00
11
01
01
10
11
00
00
11
00
11
00
01
10
00
00
00
11
01
00
10
10
10
00
11
10
00
00
11
11
00
11
00
10
11
10
11
10
11
00
00
01
00
00
10
10
01
00
00
10
10
11
10
00
10
10
10
10
01
00
00
10
00
01
11
01
00
10
00
10
11
00
00
10
10
11
10
00
01
00
10
00
00
00
11
10
10
10
10
01
10
00
01
00
10
10
10
10
00
11
10
01
00
01
10
00
01
00
00
10
00
00
01
00
10
01
01
00
10
00
10
00
11
11
00
10
00
00
01
11
10
00
10
01
11
10
10
01
10
10
10
00
10
00
10
10
01
11
00
01
01
00
10
10
00
10
11
00
01
10
10
00
00
01
11
10
00
10
10
00
01
00
10
11
10
00
01
11
00
10
11
10
10
11
00
00
10
01
01
10
10
00
00
10
10
10
10
10
00
00
10
01
00
10
10
10
10
00
00
00
10
00
01
11
10
10
01
00
10
00
00
10
11
10
10
10
11
11
00
10
11
10
01
10
10
11
01
00
00
10
00
00
00
11
10
00
10
11
11
01
01
10
10
10
01
00
10
00
00
11
00
10
11
00
01
01
11
01
01
10
00
10
11
10
11
10
01
10
11
10
10
10
01
00
01
11
10
00
00
10
00
01
01
10
10
00
01
00
11
10
00
01
00
00
00
10
10
10
00
10
01
01
11
00
10
01
01
01
00
10
00
11
10
11
10
11
00
01
01
00
11
10
10
01
00
01
10
10
00
11
00
01
11
11
10
01
00
10
00
01
11
01
10
10
00
11
10
00
00
10
10
11
00
11
00
11
11
10
10
01
01
00
10
11
01
01
00
00
11
00
10
01
11
10
00
01
11
00
00
01
10
00
00
10
10
01
10
00
01
10
10
11
01
01
00
11
10
11
10
00
01
10
01
00
11
10
01
01
10
00
10
00
01
00
10
00
00
10
01
00
10
10
11
10
01
11
01
00
10
01
10
01
00
10
01
00
00
01
11
10
10
10
00
00
10
11
10
00
11
00
00
10
10
10
10
10
00
10
10
10
10
10
00
00
00
01
00
10
11
00
10
01
00
10
10
01
11
11
10
00
10
10
11
11
10
00
00
01
00
11
10
11
00
11
01
11
11
00
00
01
10
00
00
01
10
00
00
10
00
00
11
01
10
11
00
00
10
10
11
00
00
10
00
00
10
00
11
01
10
11
01
10
10
10
11
10
10
00
00
10
00
10
00
00
10
10
10
01
11
11
00
10
00
11
10
01
00
11
00
01
10
01
00
10
00
01
01
11
10
01
00
00
00
00
00
10
01
00
01
11
00
00
10
00
00
01
10
00
00
11
11
00
01
10
10
10
11
10
00
10
00
10
00
10
00
00
11
00
11
00
00
00
10
11
11
00
01
00
00
01
10
10
11
10
10
10
00
00
01
11
10
11
10
10
00
11
11
01
11
11
10
00
00
10
00
00
11
01
01
00
10
11
00
01
10
10
00
11
00
00
10
01
01
00
00
11
10
10
01
01
10
10
01
00
10
00
01
10
10
01
10
11
10
01
00
10
10
10
01
00
11
10
10
00
11
11
00
00
10
11
00
01
10
00
10
01
11
10
10
01
00
01
01
10
10
00
00
10
10
00
01
00
10
11
11
10
10
10
11
00
01
10
01
11
10
10
11
00
01
00
01
10
00
10
11
00
01
10
01
10
00
10
10
10
00
11
11
10
00
00
10
10
10
00
00
00
11
00
11
11
10
00
00
10
11
10
00
00
00
10
00
01
10
10
00
11
10
10
00
00
00
00
00
10
10
11
00
00
10
01
10
10
00
01
10
10
00
10
10
10
00
00
10
11
00
00
11
10
11
11
00
00
10
10
01
11
10
11
10
11
00
00
10
00
10
00
10
10
00
10
00
10
10
00
01
00
00
01
10
01
01
01
10
10
11
10
10
00
11
11
10
10
00
00
10
10
01
11
10
10
10
11
00
11
01
00
00
00
01
00
00
00
01
00
11
00
00
00
00
10
00
10
10
01
01
11
01
00
01
00
10
11
10
01
00
10
01
00
01
00
10
00
10
01
10
10
01
10
10
10
00
11
00
01
00
01
00
00
10
10
10
00
01
10
10
01
01
10
10
10
00
00
10
10
10
00
00
10
10
11
10
01
01
10
10
10
01
10
10
01
11
11
00
10
10
01
01
10
01
01
10
01
10
11
10
01
00
10
10
10
00
00
01
11
10
01
00
01
10
10
10
11
00
00
10
00
01
00
10
00
00
10
11
10
11
11
00
11
11
01
10
01
00
10
10
00
00
01
01
11
00
00
01
10
01
01
11
10
00
10
11
10
00
01
01
10
01
00
10
10
10
01
10
00
01
00
11
01
00
10
10
10
01
00
10
11
11
00
10
10
00
01
11
01
11
01
00
10
11
11
01
00
00
00
00
10
10
01
01
10
10
00
00
10
01
00
10
10
00
00
00
00
00
10
01
01
10
01
10
00
00
00
11
01
00
10
00
11
10
10
00
01
01
10
11
11
10
11
00
00
00
01
11
01
01
00
11
01
00
01
00
10
10
01
01
10
11
00
10
11
00
11
10
00
00
10
10
10
00
00
10
10
00
10
00
00
10
10
00
10
00
11
11
00
00
10
00
00
00
00
10
10
00
10
10
10
00
00
10
00
11
11
01
10
01
11
10
10
01
00
11
10
01
11
01
10
11
01
10
10
10
00
10
10
00
10
11
00
10
10
00
00
11
10
11
01
01
00
01
01
10
00
11
11
10
01
00
10
00
10
00
01
01
10
00
10
01
01
00
00
11
11
10
10
00
00
10
10
00
00
11
01
10
11
01
10
10
00
00
00
11
11
10
10
01
00
11
01
00
01
10
11
10
00
00
11
00
01
10
01
10
10
11
10
00
10
11
01
10
00
00
10
10
00
00
10
10
00
01
00
11
00
01
10
01
00
01
00
11
10
10
01
11
10
01
10
10
00
11
01
01
10
00
10
00
10
01
00
10
00
11
00
11
00
01
01
00
11
11
00
10
00
00
01
00
10
00
11
11
10
00
00
00
01
00
11
10
01
01
10
00
00
01
10
01
11
10
10
00
00
10
00
00
11
00
10
01
00
00
00
10
00
00
11
10
01
00
11
10
00
00
00
10
10
00
11
11
00
10
00
00
01
10
11
01
01
00
00
10
10
01
00
11
10
10
01
00
10
11
10
00
10
01
10
11
11
00
00
00
00
00
00
11
10
00
00
00
10
00
00
10
00
11
10
01
01
10
10
10
00
10
11
00
00
10
01
10
10
10
10
00
01
01
11
01
10
01
11
00
00
00
10
10
10
00
10
00
00
10
10
00
10
10
01
01
00
00
00
10
10
01
00
11
00
01
10
10
01
10
01
00
01
01
01
00
00
11
11
10
10
10
00
10
11
00
00
10
10
00
11
01
10
01
10
11
00
10
01
00
00
10
01
01
01
10
10
00
10
00
11
10
01
00
01
11
10
00
00
10
10
10
00
10
01
01
10
00
00
10
00
00
10
00
10
11
00
00
10
11
01
10
10
01
10
00
00
10
00
00
01
00
11
11
11
11
11
00
00
00
11
01
01
11
10
11
11
01
01
11
10
10
00
00
00
01
10
10
00
01
10
11
11
00
10
10
00
11
10
00
00
10
10
00
01
10
11
01
10
00
10
10
00
10
10
01
10
10
10
10
10
01
10
10
00
00
00
10
00
10
00
11
00
10
01
00
10
10
10
00
00
11
01
11
00
00
01
01
11
11
10
00
11
01
00
11
10
00
10
00
00
10
10
00
10
00
01
00
11
10
10
00
00
11
00
10
11
11
10
10
01
00
11
11
00
10
10
00
11
00
00
10
01
01
11
10
00
11
10
11
00
00
10
01
00
11
00
10
11
11
01
00
11
10
11
00
00
11
10
01
10
00
00
01
00
01
00
00
00
10
01
10
00
00
00
10
01
10
10
10
00
00
10
10
01
00
11
10
11
11
10
01
11
10
11
01
00
10
00
10
01
00
00
01
00
10
00
00
10
01
00
10
00
00
00
00
10
00
11
11
11
00
00
10
00
00
00
00
10
10
10
11
00
10
10
11
00
00
00
00
01
10
10
10
10
01
10
01
00
10
11
10
00
10
11
00
00
10
10
11
00
00
10
00
00
11
01
00
11
11
11
10
00
10
01
11
01
11
10
01
11
01
10
01
01
10
00
10
00
00
00
01
11
10
10
01
10
11
00
01
10
01
01
00
10
10
00
01
10
11
11
11
10
00
01
10
00
00
01
11
10
01
00
00
00
11
10
11
00
00
10
10
01
10
10
01
10
11
10
11
00
00
00
11
10
00
10
00
11
00
10
10
10
01
10
00
10
10
01
11
00
10
01
00
10
00
11
00
11
11
10
10
10
00
11
11
00
10
11
10
01
00
01
11
10
10
00
11
10
00
00
10
10
01
10
00
00
01
00
10
10
10
01
01
10
00
10
10
10
01
01
00
10
11
10
00
01
10
01
10
00
00
00
11
10
10
01
10
10
00
00
10
00
00
11
11
00
00
01
10
11
10
10
00
10
00
00
10
10
10
11
00
00
00
10
00
10
00
01
01
01
10
10
00
00
10
11
00
00
01
10
00
00
11
00
01
11
00
01
10
00
00
00
11
11
00
00
00
00
11
00
01
11
00
10
10
11
00
00
11
11
01
11
11
01
00
01
10
00
01
10
11
10
11
00
10
00
00
10
11
00
00
10
10
01
00
10
10
11
01
01
10
11
00
01
10
11
01
01
11
10
10
01
00
11
00
01
01
11
10
11
10
01
10
10
10
00
00
10
00
00
00
00
10
10
10
10
00
10
01
00
10
00
00
10
10
00
10
01
10
01
01
10
01
00
11
01
00
10
10
10
01
10
00
01
11
10
00
00
01
00
11
10
10
00
00
11
00
00
10
10
11
00
00
11
10
10
01
11
01
01
10
11
10
10
00
10
10
00
10
01
00
11
10
01
10
01
11
00
00
10
00
11
10
00
10
10
01
00
11
00
00
10
01
10
10
10
01
01
00
11
10
10
00
10
01
01
11
01
01
00
00
01
01
11
11
11
00
00
01
11
00
01
11
11
10
11
00
00
01
10
10
01
10
10
00
10
10
11
00
10
10
00
01
10
10
00
11
00
00
10
10
01
01
10
00
10
10
10
11
00
10
11
00
10
11
11
11
10
01
00
11
11
00
11
10
10
00
00
10
01
10
11
00
00
10
00
10
01
10
10
01
00
01
10
01
01
01
10
11
10
10
11
10
10
10
10
00
10
00
01
10
10
00
10
00
10
00
01
10
00
00
10
10
00
01
00
10
00
01
10
11
00
00
11
10
00
01
11
10
00
01
11
00
00
11
01
00
10
01
10
00
01
10
00
00
00
10
00
01
11
01
00
10
00
10
10
10
00
10
00
01
10
00
00
01
00
10
00
10
01
10
00
11
00
01
10
00
01
00
00
01
10
11
00
00
11
00
01
10
11
01
00
11
10
00
00
10
01
11
01
00
01
10
11
11
10
00
11
00
00
11
00
00
10
10
10
01
10
00
10
11
01
00
01
11
10
00
01
00
11
00
00
10
10
00
01
11
11
11
01
00
01
00
10
01
10
10
00
10
00
01
11
10
00
11
00
10
00
01
10
01
10
10
00
01
10
11
11
00
10
00
10
11
00
01
11
11
00
01
10
11
10
01
01
11
10
00
10
10
10
00
00
10
00
01
11
10
00
10
11
00
01
10
00
10
10
00
00
01
10
11
11
01
11
11
01
01
10
01
00
10
10
01
00
10
11
11
11
01
10
00
00
00
10
00
01
10
11
11
11
00
10
10
01
10
00
00
10
10
01
10
01
10
10
01
10
10
01
00
10
10
00
00
00
10
10
01
01
10
00
10
00
00
00
01
10
11
00
01
11
10
00
00
10
10
10
00
00
10
11
01
10
00
01
10
01
00
10
10
00
01
10
00
10
00
10
00
11
11
10
01
01
10
11
00
10
10
10
01
10
00
10
00
11
00
11
00
10
01
00
10
00
01
10
00
00
10
11
10
10
00
00
10
10
01
10
11
01
00
00
00
11
11
01
00
10
11
00
00
10
10
01
10
10
00
00
10
01
10
10
11
10
00
01
10
10
00
00
10
10
00
01
11
01
10
00
01
01
01
10
00
01
10
10
10
10
00
10
11
00
11
01
10
00
00
10
00
10
11
10
00
10
01
01
01
11
11
10
01
00
11
01
00
11
10
10
00
00
10
10
00
00
11
01
00
11
01
00
10
00
10
10
01
00
00
10
00
00
00
01
11
00
00
10
00
00
10
11
01
01
00
01
10
10
00
10
01
00
10
10
00
10
10
11
00
00
10
01
00
10
10
00
10
10
00
10
01
00
10
11
00
10
10
11
11
10
10
11
00
00
00
11
00
00
10
00
10
10
00
11
00
11
00
00
10
00
10
11
11
01
11
10
10
10
00
00
00
11
10
00
00
00
10
10
10
10
10
00
10
01
10
11
00
01
10
01
00
01
10
10
00
10
00
00
10
11
00
10
10
01
00
11
01
00
00
10
01
01
00
10
10
01
10
00
00
01
10
10
11
01
10
01
00
10
11
00
00
00
10
10
10
11
11
10
00
11
10
10
11
01
10
01
10
00
01
11
01
11
00
01
01
10
10
00
01
10
00
10
00
00
11
10
10
10
10
00
00
00
00
00
10
11
00
10
10
00
00
10
10
00
11
11
01
10
11
00
10
10
01
00
10
11
01
10
11
00
10
00
00
10
10
00
10
10
10
01
00
01
10
00
00
11
10
11
11
00
00
10
00
10
11
00
10
11
11
00
11
10
01
11
00
00
10
11
01
01
10
11
11
00
01
11
11
00
00
10
01
11
10
01
00
01
11
00
10
01
00
11
10
01
00
10
00
10
00
00
10
10
10
00
10
00
10
10
10
00
10
00
10
01
00
10
00
10
10
10
00
00
10
10
00
10
00
11
11
01
00
00
01
11
01
10
10
00
00
00
01
11
10
01
01
10
01
11
11
00
00
10
10
00
10
10
00
01
00
10
11
11
01
11
00
10
11
00
00
10
11
00
01
11
10
01
10
00
00
11
01
00
00
10
10
10
11
00
00
10
01
10
10
01
10
10
10
11
00
11
11
10
10
00
00
10
10
01
00
11
10
00
00
01
00
10
10
01
00
10
00
00
10
00
10
01
11
01
10
01
10
11
10
11
01
10
11
01
01
01
00
10
01
00
10
00
01
11
00
00
11
10
01
10
00
01
11
00
11
10
10
10
10
00
11
00
00
00
11
10
11
11
01
01
00
11
10
10
11
11
00
00
10
10
11
00
01
10
00
10
10
11
00
10
10
00
00
10
10
10
01
10
10
10
10
11
00
01
10
00
10
10
10
00
00
00
00
11
10
11
10
10
01
01
11
01
10
11
11
10
10
01
00
11
00
00
10
11
01
00
00
10
00
01
10
00
10
00
00
10
00
10
11
10
11
01
10
10
00
00
10
10
01
00
10
01
00
00
00
01
11
01
01
01
11
00
01
10
00
10
10
00
01
00
00
10
11
00
11
11
10
10
01
00
01
01
10
10
11
10
11
10
01
00
10
00
01
00
10
11
00
01
10
01
00
11
01
11
11
00
11
10
10
10
00
00
10
00
00
11
00
11
01
10
11
00
01
10
11
01
00
11
10
00
00
00
10
00
00
10
10
01
10
10
00
01
01
00
10
10
10
10
10
00
11
00
00
10
10
00
00
01
01
10
10
10
00
00
10
10
10
01
00
10
10
00
10
01
01
11
01
10
10
01
00
01
10
11
00
00
10
00
01
11
10
00
01
11
10
00
00
11
00
00
01
01
11
00
00
00
10
10
00
11
10
01
10
11
01
00
10
00
10
10
00
00
00
10
11
00
11
11
11
10
00
10
10
01
00
10
10
10
10
00
01
00
00
01
10
10
10
11
10
00
01
00
10
00
00
10
00
11
10
10
11
10
10
01
00
10
00
10
00
00
11
00
11
10
10
10
10
00
10
01
10
01
01
11
10
10
11
00
00
11
10
00
10
10
10
00
10
00
11
11
11
10
10
01
11
00
11
11
00
01
01
00
10
10
00
10
10
10
01
01
00
00
11
11
00
10
11
00
10
10
00
10
10
00
11
01
11
00
00
10
10
00
01
10
10
10
11
10
00
11
10
00
01
11
00
01
00
00
10
11
10
00
10
00
00
11
01
00
11
10
10
10
11
00
10
01
01
10
11
11
10
10
11
00
10
10
00
10
10
00
01
10
00
10
11
10
00
01
10
01
10
00
10
01
10
11
00
10
00
11
00
00
01
10
01
00
11
01
11
00
01
01
01
10
11
00
11
10
11
00
01
11
11
00
01
10
01
00
10
00
10
11
00
11
11
11
01
10
11
00
01
10
00
01
10
10
11
10
01
11
00
11
00
10
11
11
00
00
10
10
00
10
10
00
01
10
11
11
00
10
10
11
10
00
10
11
11
01
11
00
00
10
11
00
01
10
10
01
11
00
00
10
00
10
10
01
11
10
00
01
00
00
11
11
00
10
10
01
00
11
10
10
10
01
00
11
01
00
01
01
11
10
10
01
10
10
10
01
01
10
00
10
00
00
10
11
00
10
00
01
00
10
00
11
10
00
10
10
10
11
00
10
00
01
10
00
10
11
00
00
10
00
00
11
10
10
00
10
00
10
00
10
00
00
00
00
10
01
10
11
10
01
01
10
10
00
01
10
11
00
00
00
11
00
01
11
01
00
10
00
11
10
10
01
01
11
11
10
01
11
10
01
00
10
10
00
10
00
00
10
00
00
00
00
10
00
01
00
10
00
00
10
10
11
01
10
11
01
01
10
00
10
00
00
10
10
00
01
11
10
00
10
00
00
10
11
01
01
10
10
00
01
10
11
11
00
00
10
00
10
01
01
11
10
10
00
00
01
10
10
00
00
10
10
00
00
10
00
10
10
00
11
01
00
10
10
10
00
00
11
01
00
10
10
11
01
01
10
10
00
00
10
01
10
10
11
10
10
01
10
00
10
10
11
00
00
11
00
01
01
11
00
00
10
10
00
00
10
00
00
00
01
00
10
01
00
01
10
00
00
00
00
00
10
10
10
00
10
11
10
01
10
01
10
11
00
01
00
11
00
01
10
11
01
00
01
10
00
10
10
00
00
10
11
10
10
01
00
10
01
10
10
11
01
00
10
10
00
01
01
10
10
00
10
11
10
01
11
10
00
00
10
11
10
01
01
10
01
10
10
10
10
00
00
11
11
00
01
11
01
00
00
10
00
10
10
00
11
11
01
01
00
01
10
10
01
11
10
00
11
10
10
00
00
00
00
10
00
11
11
00
00
00
11
10
10
01
10
01
00
10
11
10
01
00
10
10
00
01
10
01
10
10
11
10
11
10
00
00
00
10
01
01
10
00
01
00
11
00
00
10
00
10
10
00
10
00
11
00
01
11
00
00
01
00
01
10
11
10
01
00
10
01
01
10
00
00
10
11
00
11
00
00
11
01
11
10
01
10
11
10
00
00
10
10
01
00
11
10
00
10
00
10
00
10
10
01
11
00
10
01
00
10
11
00
01
10
10
11
00
00
11
00
00
10
00
00
01
10
11
10
10
10
10
01
01
11
10
01
10
11
10
01
00
11
10
11
01
00
00
00
10
11
01
00
10
10
10
00
00
11
10
00
10
01
00
00
11
11
00
00
00
10
10
10
00
00
10
00
10
11
11
11
10
01
10
01
00
00
11
10
00
10
10
01
00
00
10
11
10
00
00
10
10
00
10
10
10
00
00
10
10
10
00
11
00
00
11
11
10
00
11
01
10
00
01
00
11
00
01
11
10
10
00
11
11
10
01
00
10
00
11
10
00
10
11
10
11
10
10
10
01
11
10
10
01
00
10
01
00
10
11
00
00
10
11
00
11
10
10
00
10
00
01
00
11
01
10
00
01
00
00
10
11
00
01
00
10
10
01
11
00
10
11
10
01
01
00
11
10
00
10
10
11
01
10
10
10
00
00
10
10
00
01
01
11
10
10
01
01
00
10
10
00
00
00
10
10
10
01
01
00
00
10
10
10
10
11
01
00
10
10
00
10
01
10
10
00
10
10
01
00
11
10
00
10
00
10
00
11
10
10
00
10
01
01
00
11
10
00
00
01
01
00
10
11
11
00
01
00
11
11
10
10
01
10
01
01
00
00
11
00
01
10
11
01
00
11
10
00
00
10
10
00
00
10
00
00
01
10
11
10
10
00
10
00
00
00
10
10
01
10
00
00
00
10
10
10
10
10
01
00
10
11
00
01
10
00
10
01
00
10
01
00
10
10
01
01
10
10
00
00
10
10
00
11
10
00
00
00
10
10
10
00
00
01
01
11
10
11
10
01
10
01
10
11
10
01
11
10
10
11
01
00
10
11
11
01
01
11
00
10
10
01
00
10
10
01
10
10
01
10
00
10
10
01
00
10
11
00
10
00
01
00
01
11
10
01
01
11
00
10
10
00
00
11
00
00
00
11
01
11
01
00
11
00
01
10
01
00
10
00
00
11
11
00
01
00
10
00
10
10
01
10
10
11
11
00
00
10
00
01
01
01
11
00
10
10
01
01
10
11
01
00
11
10
10
00
00
11
00
00
11
01
01
10
10
01
00
10
00
00
10
11
00
10
10
00
00
10
00
00
01
01
10
00
10
00
10
11
11
11
00
10
00
11
10
00
00
10
10
00
01
10
10
00
10
11
11
11
00
00
11
00
10
01
10
10
11
01
00
11
10
10
01
10
10
10
10
00
01
10
11
10
10
10
00
11
00
01
10
01
11
01
00
10
00
00
01
01
00
10
00
00
10
10
01
00
11
10
00
10
00
01
01
01
10
10
00
10
00
10
11
01
01
11
00
00
00
01
00
10
10
01
00
10
00
01
10
11
00
00
00
00
10
00
10
10
00
00
10
11
00
01
00
11
00
10
10
01
00
01
00
10
11
10
11
11
10
00
10
10
01
00
10
01
00
10
00
11
10
11
00
00
10
10
10
10
01
00
10
10
01
00
11
00
10
00
00
01
11
00
00
10
00
00
00
10
10
10
10
00
00
10
00
00
00
10
00
01
01
01
10
10
00
11
00
00
10
10
10
00
11
01
10
00
10
11
01
00
10
00
11
11
01
01
10
00
01
01
01
11
00
00
00
00
10
00
10
10
00
10
10
10
10
10
10
10
00
10
11
10
01
01
00
10
10
11
10
00
10
00
00
10
00
10
11
11
01
10
00
10
00
10
00
11
10
01
01
10
01
01
10
10
10
00
00
00
10
10
00
10
11
11
10
01
00
00
00
00
10
00
10
10
00
01
01
11
10
10
01
11
10
10
10
10
00
00
10
10
00
00
01
10
10
10
01
10
00
10
10
00
10
10
00
00
10
00
10
01
10
00
01
00
00
10
10
01
00
00
10
10
11
11
00
10
10
10
00
00
10
01
00
10
10
01
00
00
01
00
11
00
01
10
00
10
10
00
00
11
10
00
01
01
10
11
00
10
10
11
10
01
10
00
01
00
11
10
00
01
00
10
11
00
00
10
10
01
01
00
00
11
10
01
01
00
10
10
00
00
10
11
11
01
00
01
10
00
00
10
00
00
11
11
10
01
00
10
00
11
10
01
01
10
11
01
11
01
01
01
11
10
10
10
11
00
10
00
00
10
11
10
00
00
10
10
01
10
10
00
01
00
00
00
01
11
11
10
10
11
10
00
01
10
11
01
00
01
10
01
10
00
00
11
11
00
10
10
00
01
00
11
00
10
10
10
11
00
00
00
00
10
10
00
11
10
10
10
01
00
10
10
10
10
00
00
01
00
10
00
10
11
00
00
11
10
11
01
10
10
00
00
00
01
11
11
10
10
00
11
00
01
11
10
00
00
00
10
10
00
10
11
00
00
00
10
11
10
11
10
10
01
10
00
01
10
11
01
11
11
00
10
01
10
00
00
10
10
00
10
01
00
01
10
11
00
10
01
01
11
10
10
10
10
11
01
01
01
00
00
11
10
10
00
00
10
01
00
11
00
10
10
00
01
10
01
01
10
00
10
10
11
11
00
11
10
00
00
01
11
10
00
10
00
10
11
00
01
00
11
01
10
01
00
11
11
10
01
11
10
10
10
00
10
10
00
00
11
10
00
10
10
10
00
00
11
11
00
11
10
00
11
00
11
11
10
10
10
01
00
00
01
00
10
00
10
10
01
01
11
10
00
10
10
11
11
00
00
10
10
10
10
01
00
00
00
10
00
10
01
00
11
11
11
10
00
00
10
11
00
10
10
00
00
11
10
00
00
10
10
10
10
00
11
11
01
00
11
00
11
00
01
10
11
11
01
10
11
00
00
11
10
01
00
00
11
00
11
11
11
10
00
01
01
10
11
00
00
10
10
00
01
00
10
10
11
11
10
00
10
00
10
00
10
10
10
00
10
00
10
10
01
00
00
01
11
11
01
11
00
00
10
11
10
11
00
00
10
00
10
11
11
01
10
01
10
00
00
11
00
01
11
10
01
00
01
00
00
10
00
10
11
10
01
00
10
11
10
00
00
00
11
11
01
10
00
00
00
11
00
00
10
11
01
00
01
11
11
10
00
00
10
11
10
10
01
10
01
11
10
00
00
00
10
00
11
11
11
00
00
10
10
10
00
00
10
00
11
10
01
01
11
10
11
00
01
00
11
00
11
10
00
00
11
00
01
11
10
01
00
00
11
00
00
00
10
10
00
01
10
10
10
11
00
10
10
11
11
00
10
00
00
10
00
00
10
11
01
11
00
00
10
10
10
00
11
10
00
00
10
01
00
10
00
00
10
11
10
10
00
11
10
01
01
11
01
00
10
00
10
10
00
00
00
01
10
01
11
01
10
10
10
00
00
11
10
01
00
10
10
10
01
10
10
10
10
00
10
01
01
10
01
00
11
00
10
00
01
10
11
01
10
00
00
00
01
00
10
10
00
10
00
00
11
11
10
10
00
00
01
01
10
00
10
00
11
10
11
10
11
00
01
10
00
10
00
00
10
01
00
10
00
00
10
00
01
00
11
10
00
00
01
00
00
00
01
01
10
10
10
10
00
10
00
00
10
01
11
00
10
10
11
10
11
00
01
00
10
10
01
10
11
10
00
00
11
00
10
11
00
10
01
10
11
01
00
10
01
10
11
00
00
10
10
00
00
00
10
11
10
00
01
00
10
10
00
00
00
10
10
00
01
00
10
00
00
11
00
00
00
11
10
00
00
10
10
01
00
10
11
10
00
01
11
00
11
00
00
00
00
11
00
00
11
11
01
10
10
10
10
01
00
00
10
10
00
10
11
00
10
10
00
00
01
10
10
00
01
11
01
01
00
11
10
11
10
00
01
11
10
00
00
10
10
00
10
10
01
00
10
11
10
00
10
00
10
01
01
11
00
10
01
10
00
00
11
10
01
01
10
01
00
11
10
01
00
10
10
01
00
10
11
11
01
11
01
11
10
00
00
10
01
01
10
10
10
00
01
00
10
10
01
10
10
10
01
10
01
10
11
11
01
00
10
00
00
11
10
01
10
01
00
11
01
10
01
01
10
00
11
10
00
01
10
01
00
01
10
10
01
00
11
00
00
11
10
10
00
10
11
00
10
01
10
00
00
10
00
00
10
10
10
00
10
00
10
10
10
00
00
11
00
11
11
00
00
10
10
10
10
10
00
00
00
00
00
00
00
00
10
10
10
10
00
00
01
10
01
01
10
10
01
00
10
00
00
00
11
10
00
10
10
00
01
10
11
00
10
11
10
10
00
00
11
10
01
01
10
11
11
01
00
10
10
00
01
10
00
00
11
00
01
00
10
00
00
10
00
10
11
00
01
00
01
10
11
00
11
10
01
00
10
10
00
10
00
00
10
11
00
10
10
01
01
11
01
00
10
00
11
00
01
11
00
00
00
01
10
01
10
10
10
01
00
11
00
00
00
10
10
00
10
10
00
10
00
11
00
00
10
01
01
01
10
11
11
10
10
11
01
11
10
00
00
10
01
00
10
11
00
01
00
01
10
10
00
01
10
11
01
01
00
00
11
01
00
10
10
00
00
10
10
10
00
00
00
00
10
10
10
10
01
00
00
00
11
11
00
10
01
00
10
10
00
00
00
11
11
00
10
01
00
01
00
10
00
00
00
01
00
10
00
01
11
01
00
10
11
01
01
00
11
10
00
10
01
00
10
00
01
11
00
10
10
11
00
10
00
10
00
01
11
01
11
10
00
10
00
00
00
00
10
01
00
00
10
00
10
10
10
10
01
11
11
10
01
00
00
11
10
10
00
10
11
01
00
00
00
00
11
00
00
11
01
00
01
10
10
11
11
00
11
10
01
10
11
01
11
10
10
01
10
10
00
00
11
00
11
10
00
01
10
00
00
11
11
10
01
00
01
00
01
10
01
00
10
10
00
01
00
00
10
10
10
10
00
00
10
01
00
00
10
10
00
00
00
11
10
10
10
00
11
10
00
10
00
10
00
10
10
10
00
11
00
10
10
10
00
00
10
00
00
10
10
10
00
10
00
00
10
10
00
00
00
10
00
10
10
11
00
10
10
00
10
11
00
00
10
10
10
01
11
11
10
10
01
10
00
11
11
00
10
01
00
11
01
01
10
10
11
10
00
00
01
11
10
00
00
00
11
11
10
00
01
00
11
01
00
11
01
10
11
01
11
00
00
11
00
01
10
00
00
00
10
01
00
11
00
10
00
00
11
10
01
00
00
01
00
00
11
00
11
10
00
01
10
10
00
00
10
01
11
11
00
01
00
00
10
10
01
01
00
10
11
00
10
00
00
11
00
00
11
10
11
00
10
10
00
00
01
01
11
00
01
10
11
10
00
11
00
00
11
11
11
00
00
10
00
00
00
10
10
01
01
10
00
00
10
10
11
11
00
01
00
10
00
10
11
01
00
11
10
11
00
11
10
00
01
00
10
10
10
10
00
11
11
10
01
01
00
11
01
00
11
00
00
11
10
01
00
00
10
01
10
00
01
00
01
11
00
01
01
00
11
00
00
01
10
10
01
00
10
10
00
10
10
10
10
00
10
01
01
01
10
00
00
00
10
01
11
11
10
10
11
10
10
00
00
10
00
01
10
00
11
01
10
11
00
01
11
11
00
11
11
01
11
11
10
01
00
11
11
01
01
10
10
00
01
11
11
01
01
10
10
00
00
10
10
00
10
10
10
00
01
10
00
11
00
01
01
00
00
00
00
10
11
00
11
11
00
11
00
01
10
11
00
00
10
10
00
00
11
10
11
10
11
00
10
10
00
01
11
00
11
10
01
00
00
01
10
01
00
10
10
10
10
00
01
00
00
11
10
10
01
00
00
11
11
00
11
10
11
11
00
01
10
10
00
00
11
10
01
00
10
10
10
11
10
00
01
10
00
10
10
10
11
00
00
11
10
10
10
01
00
10
00
10
10
00
10
10
01
00
00
00
10
00
00
10
10
00
11
00
11
10
11
01
00
00
00
11
10
00
01
00
00
00
10
10
10
00
11
10
10
01
01
01
10
10
10
01
10
10
00
00
10
10
00
11
10
10
01
01
00
10
00
10
00
10
01
00
11
11
00
01
11
10
10
00
00
10
10
01
00
01
10
00
10
00
00
00
10
10
00
01
10
00
10
10
11
00
10
01
10
00
00
11
01
10
10
10
00
01
01
11
10
01
10
00
00
10
01
01
10
00
11
00
10
10
10
00
11
10
10
10
11
10
10
00
00
01
00
10
11
01
01
11
10
00
00
10
10
00
00
10
01
00
00
10
10
00
00
10
10
00
11
00
11
10
00
10
00
11
11
00
00
10
10
01
10
00
00
00
10
00
10
01
01
10
10
10
10
00
01
01
10
10
01
10
00
01
10
00
00
10
11
10
00
01
00
10
00
11
00
10
01
10
11
10
01
01
00
11
11
00
00
00
00
10
11
01
11
01
01
00
11
10
00
10
01
00
10
11
00
11
01
10
10
00
00
01
11
10
01
01
00
00
11
00
00
01
11
11
01
00
11
01
10
01
10
00
01
10
10
10
11
00
11
10
00
00
10
10
11
00
10
11
00
10
00
10
10
11
01
01
11
00
00
01
00
01
10
11
00
00
01
10
10
01
10
00
01
11
00
11
00
10
01
00
00
00
10
11
00
00
10
10
00
00
10
11
10
01
11
00
10
00
01
00
01
10
01
00
00
10
10
11
00
10
00
11
00
10
10
00
01
00
00
11
01
00
10
10
10
10
10
00
00
10
01
01
01
10
01
10
10
10
10
00
10
10
00
00
01
10
00
10
00
00
10
00
00
11
10
00
01
00
10
10
11
00
11
01
01
01
11
10
10
00
01
00
00
11
11
01
00
11
00
00
10
10
01
10
10
11
10
10
10
01
00
11
10
01
11
00
10
00
00
10
00
00
10
00
01
10
10
10
00
00
01
10
01
11
11
01
00
10
11
00
01
00
11
00
11
00
01
01
11
00
10
10
00
11
10
00
11
10
10
10
10
00
00
01
00
10
00
11
10
00
10
10
10
00
10
10
00
10
00
01
00
10
10
00
11
00
11
00
10
11
11
11
10
00
00
00
10
11
10
01
01
00
11
10
00
10
00
10
10
00
10
00
00
00
11
10
00
00
10
10
01
01
01
00
00
01
10
10
11
10
01
01
10
10
01
10
11
11
01
01
00
00
10
01
00
00
00
11
10
11
00
00
11
01
00
11
00
01
10
11
01
10
01
11
01
10
11
01
01
01
10
00
01
00
10
10
00
10
00
00
10
00
11
10
00
10
00
01
10
00
10
10
10
11
11
11
00
10
00
10
10
01
00
11
00
11
10
11
01
00
10
10
10
10
01
00
11
10
01
10
01
10
11
11
10
00
00
00
11
10
01
11
11
00
01
00
01
00
11
10
01
01
10
11
01
10
11
00
11
10
00
00
00
00
11
00
00
11
00
11
01
10
11
01
00
01
00
10
11
10
01
10
10
01
10
01
00
00
11
00
01
01
10
10
01
10
10
10
00
11
10
01
10
10
10
10
00
10
01
00
00
01
10
00
01
00
10
01
00
00
11
10
00
00
00
11
10
00
11
10
10
01
10
10
10
00
00
10
10
11
00
00
10
00
00
01
11
10
11
01
01
01
00
01
01
10
11
10
10
00
00
10
01
01
10
00
10
10
00
00
10
10
11
11
11
11
10
00
10
01
10
00
01
11
01
01
01
10
10
00
10
00
00
10
11
00
00
11
11
01
11
11
01
11
10
00
00
10
10
00
00
10
10
10
00
00
10
11
01
11
01
11
11
10
00
01
11
10
00
00
01
00
10
01
10
01
00
11
10
10
10
10
00
01
10
00
11
10
10
10
01
00
10
10
11
10
00
00
01
10
00
01
11
00
10
10
00
10
00
00
10
10
01
00
11
00
10
10
10
10
01
11
00
00
11
10
11
01
10
11
00
10
01
00
10
01
10
10
00
11
00
00
00
10
01
00
11
10
00
10
10
01
10
11
11
00
11
11
10
00
00
10
10
00
00
10
00
01
10
10
00
10
01
10
01
00
01
10
10
00
00
00
10
10
00
11
10
00
10
01
10
01
00
10
01
00
00
01
00
10
00
00
10
00
10
10
11
00
11
11
11
00
10
01
10
01
00
00
11
00
10
10
10
00
10
01
00
11
10
10
00
00
00
00
11
11
01
00
00
10
11
10
01
01
11
00
00
10
10
10
00
00
00
01
10
11
00
10
11
11
10
01
11
10
10
00
00
11
10
00
00
11
10
10
00
10
11
01
00
00
01
00
10
00
00
10
00
00
11
01
00
10
11
10
01
01
01
11
00
10
11
10
01
00
00
10
10
00
01
01
10
10
01
10
10
10
11
00
01
10
10
00
00
01
10
00
00
10
10
01
10
11
11
01
10
10
00
11
00
00
00
10
10
00
00
11
10
00
01
01
10
11
10
00
10
10
00
01
00
10
11
10
11
01
11
00
11
11
10
10
11
00
00
10
11
10
00
01
00
00
01
10
11
01
00
00
11
00
10
01
00
10
10
00
10
00
11
10
11
11
01
10
11
11
00
01
00
01
00
00
10
10
10
11
11
11
10
00
11
00
10
11
01
00
11
10
00
10
11
00
10
10
00
00
00
10
00
10
01
01
11
00
10
00
00
00
10
11
00
01
00
11
00
10
00
00
10
10
01
00
10
00
10
01
00
11
00
10
11
11
00
00
10
00
10
01
00
01
11
11
01
11
01
10
11
00
00
10
11
00
11
00
00
10
00
00
10
00
00
10
10
00
00
10
00
01
11
00
00
11
11
01
11
10
00
10
11
10
11
01
01
01
10
11
00
00
11
10
10
00
00
11
00
00
10
01
01
00
00
11
10
10
10
00
10
10
10
00
00
10
10
10
00
11
10
00
10
11
11
11
00
00
01
10
00
00
11
11
00
11
00
00
10
01
00
00
10
10
11
01
10
10
01
00
00
11
10
01
11
11
00
00
10
10
01
00
10
10
00
10
01
11
00
00
01
01
11
00
01
00
10
10
00
10
11
00
00
00
00
10
11
00
10
10
00
11
10
00
00
00
00
11
10
10
11
11
11
00
00
10
01
01
10
10
00
01
00
00
10
11
10
10
11
11
00
00
10
00
10
10
00
10
01
10
00
10
10
10
10
00
10
10
10
00
10
11
10
00
11
00
10
11
10
00
10
10
00
10
01
01
10
01
01
01
10
00
11
10
00
00
00
00
00
10
10
11
00
00
00
10
00
01
10
10
10
10
10
00
10
11
00
01
10
10
01
00
10
00
10
10
01
10
11
10
10
00
10
10
10
10
01
01
10
11
10
10
10
01
00
00
10
10
11
10
00
00
11
01
11
10
10
01
11
00
00
11
10
10
10
00
00
01
10
10
00
10
10
00
10
00
11
11
00
01
10
10
10
01
00
11
11
00
00
11
10
00
10
10
10
00
10
10
00
00
10
10
01
00
10
00
10
11
11
10
11
10
00
11
01
00
10
00
01
00
10
00
00
00
10
10
10
10
00
00
00
01
00
00
00
10
01
11
11
01
01
11
00
10
10
10
00
01
11
10
01
00
00
00
10
10
01
11
10
10
00
01
10
11
00
10
11
10
10
00
11
10
01
01
10
00
10
00
10
11
01
10
00
10
00
00
10
10
00
10
11
10
00
01
10
01
11
10
01
10
01
00
00
00
00
10
10
10
01
10
11
00
11
11
00
00
11
10
00
00
10
10
00
10
10
01
00
00
00
11
01
00
10
10
01
00
00
00
10
10
11
00
10
10
00
00
10
00
10
10
00
01
00
00
11
01
11
00
11
11
00
10
11
11
01
00
00
01
10
11
00
11
00
00
00
10
11
00
01
10
00
01
10
00
10
11
01
01
00
01
10
10
01
01
00
01
10
10
00
00
10
11
01
00
10
10
10
11
10
11
00
00
01
10
00
01
00
10
01
01
01
00
10
10
01
10
00
00
10
00
00
10
11
11
01
10
00
10
10
01
01
10
11
10
11
10
10
00
11
10
01
00
10
10
01
00
10
00
00
00
01
11
10
10
00
10
10
00
10
00
01
10
01
10
10
01
00
11
00
00
10
10
00
01
10
10
00
01
11
00
01
10
00
00
10
01
11
10
11
00
00
00
10
00
00
01
10
10
01
11
01
00
01
10
00
11
10
00
00
00
10
01
00
11
10
00
00
00
00
01
11
11
10
01
11
11
11
01
11
11
00
00
00
01
00
10
00
00
11
11
00
10
10
10
01
00
11
10
11
00
01
10
10
01
00
11
00
00
10
00
10
10
00
10
10
10
00
00
10
10
10
10
01
00
00
10
00
10
10
01
00
10
11
01
10
10
10
11
00
00
01
11
10
00
10
10
10
01
10
10
00
00
00
10
01
00
00
00
00
10
10
10
00
11
11
11
10
01
10
10
10
00
01
10
01
01
10
11
00
00
10
00
00
10
00
00
00
00
10
10
00
10
11
10
01
10
00
00
00
00
00
00
10
01
10
10
00
00
10
00
00
10
01
10
11
01
00
11
01
10
10
00
01
10
00
10
00
11
11
00
00
10
01
11
00
00
10
10
00
01
10
10
01
01
01
00
11
10
01
10
00
00
11
10
00
00
10
11
00
00
10
10
10
11
11
10
10
11
01
00
11
10
00
01
10
00
10
11
10
00
00
10
00
01
01
01
10
01
00
00
00
01
11
10
10
01
10
01
00
10
00
11
10
00
00
10
11
00
00
10
01
00
00
10
10
11
00
10
10
10
10
11
10
00
10
10
01
00
01
00
10
01
01
01
10
00
00
00
11
11
00
10
00
00
11
11
10
00
10
11
00
01
10
11
01
10
01
00
10
00
00
10
10
00
00
01
10
10
10
10
11
01
00
00
10
01
11
10
01
10
10
11
00
01
01
01
11
11
01
11
10
00
00
00
10
00
01
11
11
00
00
00
10
11
00
00
00
10
10
01
00
11
00
01
11
10
00
01
11
10
01
00
11
10
00
11
10
01
01
00
11
10
11
01
00
01
10
10
00
10
01
01
00
10
11
00
10
01
00
10
11
01
00
10
10
00
10
00
01
10
10
10
10
10
11
01
01
10
11
00
01
11
10
00
10
10
01
10
00
10
00
00
11
10
00
00
10
10
00
01
10
00
00
10
01
00
11
01
10
10
00
10
00
00
10
10
00
00
10
10
01
10
01
10
10
01
00
10
00
11
10
00
00
00
10
11
10
11
00
10
10
10
10
01
00
11
10
01
01
00
10
10
10
10
00
01
10
00
10
10
01
11
10
10
11
00
01
10
01
00
10
11
00
01
00
00
10
11
00
00
00
10
11
11
11
00
00
00
10
11
00
10
00
10
11
00
11
10
11
01
11
10
00
01
10
01
01
10
10
10
10
10
10
01
00
10
00
00
00
10
10
00
00
10
10
10
11
10
10
00
11
01
00
00
10
10
11
10
00
11
10
00
10
00
11
00
10
01
01
00
10
00
00
11
00
01
11
11
00
01
11
10
00
00
10
11
01
00
01
01
00
10
00
11
10
01
00
00
01
01
10
10
00
10
10
10
00
11
10
00
10
00
11
10
11
11
10
00
00
00
00
00
11
11
01
00
00
10
11
11
00
00
00
01
10
11
10
00
01
10
11
00
00
10
01
11
01
10
10
10
11
11
00
00
00
00
11
11
01
00
11
00
01
01
00
11
00
10
00
10
10
10
00
01
10
11
11
10
10
10
10
01
10
10
01
00
00
01
10
01
00
00
10
10
11
00
00
11
01
10
10
00
11
11
11
10
00
00
01
10
00
00
11
01
10
10
00
00
00
10
01
01
10
10
11
00
00
00
11
10
00
01
10
10
00
00
00
00
01
00
00
01
00
10
00
01
10
10
00
00
00
11
10
10
01
00
00
00
00
00
01
00
00
10
10
11
01
11
00
00
01
00
00
11
11
10
10
00
00
10
01
00
10
01
00
01
10
10
01
01
10
10
11
00
00
00
10
11
10
11
01
01
10
00
01
10
00
11
10
00
00
01
10
00
10
00
00
11
11
10
10
00
10
00
11
01
00
11
01
01
10
10
01
00
10
10
10
01
00
11
11
10
00
11
00
10
00
01
10
10
00
10
00
10
11
00
00
10
11
00
11
10
01
00
11
10
01
00
10
00
11
10
10
11
00
00
00
01
10
00
00
11
10
00
11
00
10
01
10
00
00
10
10
00
11
11
11
11
10
10
11
01
00
01
00
10
10
00
10
11
10
00
00
11
00
00
10
11
10
10
10
00
00
10
10
10
00
11
11
00
11
00
00
01
00
10
00
01
10
00
11
00
11
10
10
11
11
00
01
01
10
11
00
01
10
00
01
10
11
11
10
10
10
01
11
10
11
01
01
10
01
10
11
11
00
00
10
10
01
00
10
00
10
00
10
10
00
01
10
01
11
10
01
01
11
01
00
01
01
11
11
11
01
00
10
11
00
01
10
10
00
10
10
00
00
00
10
00
10
11
01
10
10
00
01
00
00
00
00
10
00
00
00
10
10
00
10
10
01
10
10
11
01
00
00
00
00
01
00
10
11
00
11
11
01
00
01
10
01
10
11
10
01
00
11
00
10
10
11
10
00
00
11
00
00
10
10
11
11
11
01
00
11
00
00
11
01
10
10
00
10
00
00
11
10
01
00
01
11
00
10
10
10
11
01
00
10
00
11
01
00
10
10
00
10
10
00
00
00
01
11
01
10
10
10
11
00
11
10
00
00
00
01
10
11
01
00
01
11
10
00
01
00
01
10
11
10
00
01
01
01
10
11
10
11
10
10
00
00
00
01
00
11
10
00
01
10
11
01
10
00
10
10
00
10
01
00
01
10
00
11
11
00
10
01
01
10
00
00
10
10
10
00
00
00
10
10
10
00
10
10
11
00
00
00
01
00
00
10
10
00
00
00
00
11
01
00
11
10
00
10
00
00
01
00
10
01
00
10
10
10
11
10
10
01
11
11
00
01
00
11
00
00
11
11
10
01
00
10
00
01
10
00
00
11
00
10
01
00
00
10
11
00
10
11
00
11
10
11
10
01
01
11
01
00
01
01
01
11
00
00
10
11
01
01
10
10
10
00
00
00
00
10
10
01
10
01
10
10
00
00
01
11
10
00
00
10
10
10
10
00
00
10
00
00
00
10
10
00
11
10
01
11
00
10
01
10
10
10
00
01
10
10
00
11
10
10
11
00
10
10
10
00
10
10
10
11
00
00
01
00
10
10
01
00
00
00
10
00
10
00
10
10
01
10
11
00
10
10
10
01
10
11
00
11
10
01
00
10
01
00
00
10
11
01
00
10
00
11
10
10
10
10
00
00
01
11
11
10
11
00
00
10
11
00
00
10
10
11
00
00
10
10
10
00
00
10
11
01
00
00
00
11
10
00
11
01
00
10
11
00
10
10
10
00
00
10
00
00
10
11
10
10
10
01
10
01
00
10
00
00
01
11
01
00
10
00
00
11
00
11
11
00
11
10
11
00
00
10
01
10
01
00
11
10
11
10
01
00
11
10
00
10
10
00
01
10
10
00
11
00
01
00
01
11
11
01
00
00
11
10
01
00
10
10
01
01
00
11
10
10
11
10
01
01
10
00
10
11
00
10
10
00
11
11
10
10
10
10
00
01
01
11
10
00
10
11
00
00
10
10
00
00
10
00
10
10
01
00
11
10
01
01
11
10
01
01
10
00
11
10
10
10
00
01
01
11
10
11
11
10
00
00
00
11
00
11
10
00
00
10
10
01
10
10
10
10
11
00
00
00
00
00
00
11
00
10
01
00
01
10
00
00
01
11
01
00
10
11
10
00
00
10
10
00
10
10
10
11
01
10
11
10
10
00
11
11
00
00
11
00
01
00
10
10
01
11
10
01
00
10
01
00
10
11
10
01
01
11
10
00
00
10
00
00
01
00
10
11
00
11
00
11
11
11
10
10
00
01
11
00
10
11
10
10
00
00
00
11
10
01
00
00
10
10
00
00
00
10
11
10
00
11
10
10
11
10
00
00
01
00
00
10
11
00
10
00
00
10
10
10
00
11
00
01
10
01
00
00
10
10
10
01
01
10
10
10
00
01
11
00
00
10
11
00
00
10
11
00
11
01
01
10
01
10
10
11
01
01
10
11
00
10
00
01
10
10
01
01
10
11
10
00
10
11
00
01
00
01
00
10
11
10
00
00
01
10
00
10
01
00
10
10
00
10
10
10
01
00
00
01
00
10
00
00
10
10
01
10
01
01
01
10
00
01
00
00
10
10
01
00
10
10
10
01
00
00
10
00
00
10
10
10
01
01
10
10
10
11
10
10
00
00
00
00
10
10
00
01
11
00
10
01
11
00
11
10
11
11
11
00
00
00
00
10
01
11
11
11
00
00
10
01
00
10
10
10
00
00
10
00
11
10
01
00
00
11
11
10
01
01
10
00
00
10
00
00
10
01
10
01
01
00
10
10
01
00
00
10
10
01
00
11
00
10
01
11
00
10
00
01
10
10
01
10
10
11
10
10
00
11
10
00
10
00
10
00
11
11
01
11
10
00
10
10
00
10
00
01
10
10
10
10
00
00
00
10
10
00
01
11
00
11
00
10
10
10
10
10
00
00
00
10
01
00
01
10
10
01
10
10
11
01
01
10
00
11
00
10
00
00
10
10
00
10
11
00
00
11
00
10
00
01
11
11
11
01
01
10
00
10
10
00
00
10
10
10
00
00
10
11
01
10
01
00
00
00
11
10
10
10
00
10
11
00
10
00
00
00
10
00
11
10
00
00
00
00
10
00
10
00
00
01
11
01
10
00
01
10
10
10
11
00
00
11
11
10
10
00
10
00
00
10
11
10
10
10
10
00
00
10
01
10
01
00
01
10
10
11
11
10
00
00
00
00
00
10
00
00
11
00
10
10
10
00
11
00
01
01
11
00
10
11
00
00
11
11
01
00
01
00
10
01
10
10
10
11
00
00
11
00
01
10
01
10
00
00
11
01
00
00
01
00
10
11
10
11
11
00
00
00
10
00
00
01
11
10
01
00
00
11
11
10
00
10
11
11
00
01
00
01
00
10
10
00
10
10
01
10
10
00
10
01
11
01
00
01
10
01
00
10
11
01
11
00
00
11
00
10
10
00
01
10
10
00
00
11
10
00
10
11
01
11
00
00
10
10
00
10
01
01
11
11
00
01
00
00
10
01
00
11
10
01
11
01
10
10
00
01
10
10
00
00
10
10
00
01
11
11
11
11
01
00
01
10
11
00
00
10
10
01
00
10
10
00
10
00
11
10
10
10
00
00
11
10
00
10
11
10
11
11
00
01
01
01
01
11
01
10
00
10
10
00
00
10
10
00
00
00
10
10
00
00
00
00
10
10
11
10
10
01
00
01
00
00
01
01
11
10
00
00
10
00
01
01
10
10
00
10
10
00
10
11
10
00
00
00
10
01
00
01
00
10
01
01
10
11
00
01
10
01
01
00
00
11
11
11
10
00
10
01
00
00
10
10
01
00
10
11
11
00
00
10
10
10
00
11
11
01
01
00
00
11
00
10
00
00
10
00
01
11
10
10
10
10
01
10
00
00
00
11
10
01
11
00
10
11
01
00
10
00
11
01
00
11
00
00
10
01
11
10
00
10
10
00
00
00
10
11
01
10
00
00
10
00
11
11
01
01
10
01
11
00
10
10
01
00
11
10
00
00
11
00
10
10
00
00
11
11
10
00
10
00
00
10
01
10
01
00
10
10
11
00
00
00
10
00
10
00
10
10
10
10
00
10
01
00
01
10
01
00
10
00
01
00
11
01
10
11
10
10
11
10
01
10
11
00
00
00
00
00
10
10
10
00
10
00
01
00
00
11
01
11
01
10
01
00
11
10
01
00
11
10
11
00
11
10
01
10
10
11
10
10
00
11
10
10
00
00
00
11
01
00
10
10
10
10
10
00
00
10
01
00
01
00
00
00
10
00
10
10
00
10
10
00
00
11
00
10
01
00
00
11
11
00
10
00
10
10
00
01
11
00
01
11
00
10
00
10
10
10
00
00
11
00
00
00
10
00
01
10
10
10
01
10
01
00
11
10
00
10
01
00
11
00
01
10
01
01
00
00
01
11
10
01
11
10
00
11
11
00
00
10
00
01
00
00
10
10
10
10
10
01
11
11
10
00
01
00
10
10
10
01
00
00
00
11
00
10
10
11
01
10
10
00
00
11
10
01
11
10
10
11
11
00
01
10
01
00
10
10
01
10
00
10
10
10
01
00
11
10
00
10
10
00
10
00
00
00
10
00
00
00
11
10
00
11
11
10
10
01
00
10
10
00
00
01
00
10
01
01
01
11
11
11
00
10
00
10
00
01
11
11
01
00
01
11
00
10
10
00
01
10
00
00
11
10
00
10
10
01
00
11
10
11
01
00
01
10
10
01
11
11
00
00
10
01
01
11
01
01
10
10
00
00
01
11
10
00
00
10
10
10
00
00
00
10
00
00
00
10
00
10
00
01
10
00
01
10
01
01
11
00
00
10
11
01
01
00
10
01
10
00
10
10
01
01
11
00
00
11
11
00
10
10
01
00
10
00
01
01
10
11
00
10
11
10
01
00
11
01
00
11
10
00
00
11
00
00
00
11
00
00
01
10
10
00
10
00
10
10
01
00
01
11
00
01
10
10
10
11
01
00
00
10
10
01
10
11
00
01
00
11
11
00
10
11
10
11
00
01
11
10
10
00
10
10
00
11
10
00
10
10
00
00
01
00
10
10
00
10
10
10
00
10
00
00
01
10
00
00
01
00
01
01
10
00
00
01
10
10
00
01
10
10
01
01
10
11
00
00
00
10
10
10
00
00
00
11
00
00
01
10
10
00
11
00
01
11
11
11
10
00
10
11
00
01
11
01
11
10
10
01
00
11
10
00
10
00
10
10
00
01
00
11
00
00
11
10
01
00
10
00
11
10
10
10
01
01
10
10
00
11
00
01
10
01
11
00
00
10
11
00
01
10
11
10
00
00
00
11
10
00
00
01
00
11
10
01
10
10
01
11
10
11
11
01
10
00
10
00
01
10
00
00
10
00
10
10
00
10
10
00
11
10
10
00
10
00
00
10
00
00
10
00
00
00
11
00
10
10
10
00
10
10
10
00
10
00
00
01
00
01
10
01
01
01
10
10
10
11
00
00
00
11
01
00
11
10
10
00
01
00
10
11
01
01
10
00
10
11
01
01
00
10
00
01
10
01
01
10
10
00
01
10
00
01
00
00
10
10
11
00
10
01
11
00
10
11
00
10
10
10
10
01
00
00
10
01
01
01
01
10
11
01
10
00
01
11
11
00
00
00
01
00
01
10
11
11
10
10
01
01
11
01
10
10
00
11
10
10
01
01
10
01
01
10
00
01
10
11
11
00
11
10
01
10
00
01
01
11
00
00
10
01
01
10
11
00
10
11
00
11
11
00
00
01
00
10
11
10
00
00
11
00
01
11
10
11
10
10
00
10
10
00
00
11
00
01
01
01
10
11
11
00
10
10
01
10
00
10
10
00
01
11
11
01
00
01
10
00
00
10
10
10
01
01
10
00
10
10
10
00
10
10
11
00
11
01
10
11
00
01
10
10
01
10
10
00
00
11
01
10
00
00
00
01
00
10
10
01
01
10
10
00
10
00
00
10
10
11
00
00
10
11
00
01
10
01
00
10
00
00
00
11
10
11
00
00
00
00
10
10
00
01
00
11
00
10
01
00
11
10
01
01
10
11
00
00
00
10
10
11
00
01
10
00
01
11
10
10
01
00
00
10
10
11
10
10
11
00
00
10
11
00
00
00
10
01
10
10
01
10
10
11
10
00
00
10
11
10
00
10
00
10
00
10
00
00
11
00
10
10
11
01
01
01
10
10
01
01
11
10
00
00
01
00
11
00
10
00
00
10
01
10
00
10
11
10
10
10
10
10
00
00
11
10
00
01
00
10
10
10
01
10
00
10
10
01
10
11
01
01
00
00
11
01
10
10
10
10
10
01
11
00
00
00
00
10
00
11
10
11
00
11
10
10
00
10
10
00
10
11
01
10
11
00
10
00
10
10
01
01
11
00
10
00
10
10
00
00
00
10
00
01
01
11
10
10
10
01
00
00
01
10
11
11
01
10
10
00
10
01
00
11
10
00
00
10
00
10
00
10
01
10
01
00
11
10
00
01
00
00
11
10
11
10
00
00
01
10
00
10
11
01
01
10
10
00
00
01
01
10
11
00
10
00
11
00
00
00
10
00
01
11
00
10
01
11
10
00
00
00
00
10
10
00
10
01
01
10
10
10
00
10
00
01
00
10
01
01
00
10
10
11
01
11
11
10
00
00
10
00
10
10
00
11
10
10
00
01
01
01
01
00
00
11
11
10
00
01
10
11
00
10
01
00
00
10
00
00
00
10
11
10
00
00
10
01
10
00
00
00
11
01
10
00
11
01
00
10
00
10
10
00
00
00
10
11
01
00
00
01
00
10
00
01
10
11
11
10
00
10
00
00
01
10
10
10
11
01
11
01
00
10
10
00
01
10
10
01
00
11
00
10
00
01
10
00
00
10
10
01
10
01
00
00
10
11
00
10
11
00
10
10
10
01
11
01
01
10
11
00
10
10
00
00
10
10
01
00
10
00
00
00
10
00
10
00
00
10
10
10
01
11
11
11
00
00
10
00
00
10
01
00
10
11
00
00
01
10
10
11
10
01
10
11
00
10
10
01
10
10
01
00
00
11
10
01
00
10
10
10
00
10
00
00
01
10
01
01
11
10
01
10
00
10
10
11
01
00
11
00
11
00
10
11
10
00
01
00
00
11
10
11
01
11
00
10
10
11
10
00
10
01
10
10
01
00
00
11
00
10
10
10
11
00
10
00
10
00
11
11
10
11
10
10
10
01
00
01
10
10
10
01
10
11
00
01
11
10
10
01
01
11
11
01
00
10
10
00
10
11
00
01
11
00
00
00
10
11
00
11
10
00
10
10
00
01
10
00
10
11
01
01
01
10
01
01
00
11
10
00
10
11
01
00
11
10
10
01
10
01
00
01
11
00
10
11
10
00
00
10
11
10
01
00
00
01
10
10
00
00
10
10
00
10
10
10
01
10
00
11
10
00
01
11
01
11
10
10
10
10
01
00
11
10
00
11
10
01
10
11
01
10
01
01
00
00
10
00
11
11
00
10
10
00
10
11
10
11
10
11
00
00
10
01
01
11
00
01
00
11
00
01
11
10
10
01
11
10
00
00
10
10
10
01
11
10
00
10
10
00
01
10
00
11
10
00
00
01
11
10
01
00
11
10
00
00
11
11
01
00
10
10
00
01
00
00
10
10
10
01
00
00
00
11
10
10
01
00
11
10
10
10
01
10
10
01
01
11
11
00
01
11
10
00
10
10
10
10
01
01
11
10
00
00
10
00
10
11
10
00
00
10
00
00
10
11
10
00
00
11
10
10
01
11
00
11
00
00
01
10
11
01
11
10
00
00
10
11
00
00
11
01
01
11
10
01
01
01
00
10
00
00
00
01
10
11
10
00
10
10
00
00
00
10
01
11
00
00
10
10
01
00
11
01
01
10
10
01
00
11
11
00
00
01
10
10
01
00
01
00
10
11
10
01
00
10
10
01
01
10
00
00
00
11
00
11
10
00
01
00
01
10
00
00
10
11
01
10
10
00
11
10
00
00
10
00
00
11
11
10
00
10
00
00
00
10
10
00
10
11
10
10
00
10
00
00
00
10
00
00
10
00
00
10
00
00
10
10
11
00
01
10
00
00
00
10
10
01
10
01
00
01
10
01
00
01
10
11
00
00
01
10
11
00
00
00
01
11
11
00
01
10
11
00
00
00
11
10
00
10
01
10
00
10
10
00
00
11
10
10
00
01
10
00
01
11
00
01
11
00
00
01
10
00
00
11
11
10
00
00
00
11
10
10
00
10
10
10
01
11
00
11
10
00
00
10
10
00
10
10
10
00
10
00
11
00
01
10
00
10
00
01
10
10
01
00
00
10
00
00
00
11
10
00
10
00
00
00
11
10
00
01
10
11
01
10
11
10
10
01
00
00
00
10
10
11
00
11
01
01
00
10
00
10
10
00
00
10
10
11
11
11
10
00
11
11
10
10
01
00
00
10
11
00
11
01
00
10
11
10
00
00
11
10
10
00
00
01
11
00
10
11
11
00
00
10
00
01
11
10
01
10
10
10
10
10
00
00
00
10
10
10
11
00
00
11
10
10
00
00
01
00
10
00
00
10
01
01
00
00
11
01
00
10
10
11
10
01
01
10
01
10
11
01
10
11
01
10
01
10
00
00
10
10
10
10
00
10
11
11
00
01
00
10
01
11
10
00
00
10
00
01
10
01
10
01
10
11
00
10
10
00
01
00
00
00
11
00
11
11
01
10
10
11
00
01
11
11
01
00
10
00
11
10
10
00
00
10
10
01
11
00
00
10
01
11
10
01
01
00
10
00
10
11
00
01
10
10
11
00
11
10
01
11
00
00
00
11
10
00
01
00
01
00
11
10
10
01
10
10
10
10
00
00
10
01
00
10
11
11
11
11
01
10
10
10
01
00
10
10
10
00
00
10
11
01
01
00
00
10
00
01
01
10
10
01
11
01
00
11
10
11
00
00
01
00
01
10
00
10
00
00
11
00
01
11
00
10
10
01
10
00
01
10
00
01
00
00
00
10
10
10
00
11
10
01
00
10
01
00
11
10
11
01
00
00
10
11
00
10
11
01
11
00
01
11
01
00
10
01
00
10
11
01
00
10
01
10
10
10
10
00
00
00
00
11
10
11
11
00
00
10
00
10
10
00
10
10
10
00
10
10
00
00
00
01
10
00
10
01
11
11
01
00
10
11
00
00
00
10
11
11
00
00
01
10
00
10
10
10
10
10
00
01
10
10
00
10
10
10
10
00
00
10
11
00
01
10
10
11
10
11
00
11
11
01
01
00
11
00
01
01
01
10
10
10
10
01
00
10
00
11
11
11
10
00
00
00
01
10
00
00
10
10
01
10
10
11
10
10
10
00
11
10
10
00
10
10
01
00
01
10
10
10
01
10
10
11
00
00
00
00
10
01
00
01
00
10
00
10
10
10
00
00
01
10
01
00
10
11
00
01
01
00
10
00
00
10
01
00
01
01
11
10
10
10
10
00
00
10
10
10
11
11
10
01
10
11
00
00
01
00
11
11
01
00
00
01
11
01
01
11
10
11
00
00
01
10
01
00
10
11
01
11
10
10
00
10
11
00
10
10
00
00
01
00
10
00
10
00
10
10
10
10
00
10
11
11
00
00
00
11
00
10
00
01
01
10
01
00
11
00
00
10
00
10
10
01
10
01
10
00
00
11
11
10
00
01
10
10
00
00
10
00
10
10
00
01
10
10
00
01
00
10
00
10
00
00
00
10
01
00
11
11
00
10
01
10
01
00
10
10
00
10
00
10
10
01
11
00
11
11
11
01
11
10
01
10
00
11
00
11
10
00
01
00
11
10
00
11
00
00
11
01
00
11
01
00
11
11
10
00
00
10
10
00
00
10
10
10
00
11
01
01
11
01
10
00
10
10
01
00
01
01
00
10
00
10
00
10
10
00
01
10
11
00
00
00
01
11
11
00
01
01
00
00
11
11
10
00
01
00
00
11
01
10
10
11
00
11
10
10
10
00
10
00
10
11
10
01
10
01
10
00
10
11
10
00
00
00
10
11
01
10
00
00
10
10
10
10
00
01
00
10
10
10
10
10
00
00
10
11
11
11
11
10
01
01
00
00
00
10
11
10
00
10
10
11
01
00
01
00
11
00
10
01
01
10
10
10
00
00
01
00
10
00
01
00
10
11
10
00
00
00
10
00
01
00
00
10
00
01
00
01
10
10
11
00
00
11
00
00
00
10
10
00
01
10
01
10
00
00
00
10
00
00
10
10
00
11
00
10
11
01
11
11
00
00
10
00
10
10
00
01
00
00
00
00
00
01
10
11
10
10
10
00
10
10
00
00
00
10
01
00
11
00
10
01
10
01
00
11
10
10
01
11
10
00
01
00
00
00
10
10
10
11
10
01
01
00
00
11
00
00
00
11
00
11
10
01
00
00
10
10
00
00
01
01
01
11
10
10
01
00
01
10
11
00
11
10
11
01
00
11
10
10
00
00
00
10
11
10
00
00
11
10
10
00
01
10
11
10
00
10
11
00
00
10
11
10
01
10
10
11
11
01
00
10
10
10
10
01
10
10
00
11
00
00
00
01
11
11
10
01
10
00
10
00
01
11
00
00
00
00
11
10
00
11
10
00
10
00
10
01
00
11
00
01
10
01
00
11
00
00
00
10
10
00
00
00
10
11
00
10
10
10
11
10
11
00
00
11
10
01
11
10
10
10
00
01
00
00
11
10
01
01
01
11
00
10
01
10
00
00
10
10
11
00
10
01
01
01
11
10
00
11
11
00
01
10
10
10
00
00
10
00
11
00
00
11
01
01
00
10
00
01
00
10
00
00
11
11
00
10
10
01
11
10
10
11
00
00
11
01
00
10
10
00
00
00
11
00
10
11
00
01
11
00
01
10
10
10
11
00
00
01
10
10
01
00
11
00
11
10
10
00
10
11
10
00
01
01
00
00
10
10
10
01
00
11
11
00
01
10
00
00
10
10
00
00
10
10
01
01
00
01
00
10
10
10
01
11
10
00
10
10
11
01
00
11
00
00
01
10
10
01
00
11
01
11
01
10
11
00
11
00
01
10
11
10
11
00
00
00
01
00
00
10
10
10
00
01
10
11
01
00
11
10
01
00
00
01
10
00
11
10
00
01
01
10
10
01
00
11
11
00
10
01
00
00
10
10
00
00
01
10
11
10
11
01
10
00
11
00
00
00
10
10
10
10
00
10
11
10
01
10
10
01
11
10
00
10
10
00
00
00
11
01
01
00
11
11
01
11
11
00
01
00
10
10
00
00
00
10
10
10
10
11
01
00
00
00
11
10
00
11
10
00
11
01
00
01
00
11
00
01
00
11
10
00
11
11
00
00
00
00
11
00
00
11
11
11
10
10
00
00
00
10
11
01
10
00
11
00
00
00
00
10
00
10
10
00
00
11
01
11
10
10
11
00
00
00
00
00
10
00
11
11
01
01
11
10
10
00
10
11
10
00
00
10
10
00
11
00
01
10
10
00
10
10
11
01
00
11
10
00
00
01
01
11
10
01
01
10
11
10
01
00
00
11
11
00
01
10
10
10
01
00
11
00
01
11
11
11
00
01
10
10
11
10
00
00
10
11
00
00
00
01
10
10
10
10
10
11
10
10
11
10
11
00
00
10
10
10
10
01
00
01
01
10
10
00
00
10
10
00
10
01
10
01
11
10
10
10
00
00
10
10
00
00
00
00
00
00
10
01
01
01
00
00
10
00
01
11
10
01
00
10
01
01
00
10
10
00
00
01
10
10
00
10
00
11
10
00
11
11
01
10
10
00
11
10
10
00
10
00
11
00
00
00
00
00
01
10
00
00
00
10
00
01
10
11
00
00
11
00
00
00
00
11
01
11
10
11
11
00
10
00
11
00
00
10
10
11
00
11
10
11
10
00
00
00
11
11
11
01
00
00
10
01
00
10
10
01
00
10
10
00
01
11
01
10
10
00
10
00
01
10
11
00
00
10
10
11
01
10
11
00
01
10
11
10
01
00
10
00
00
00
10
00
00
11
00
11
00
01
11
00
10
11
10
11
10
00
00
00
00
01
00
11
10
10
10
10
10
00
00
10
10
10
00
01
10
10
00
00
10
10
00
00
11
00
11
00
00
10
00
11
10
01
00
10
00
11
10
10
01
01
01
10
00
00
01
10
10
00
00
01
00
01
00
10
10
00
01
10
11
01
00
00
10
10
00
01
10
10
00
01
10
01
00
10
00
11
01
00
10
10
01
00
00
10
00
00
11
00
01
00
01
01
00
00
01
10
10
00
00
10
11
10
10
11
00
01
11
11
00
11
00
10
10
00
10
10
00
00
10
10
10
01
00
00
00
10
10
10
00
10
11
01
00
11
01
11
00
01
10
00
10
11
00
01
00
01
00
10
00
01
10
11
10
00
10
00
11
00
10
00
11
00
00
11
11
10
00
01
01
10
00
01
00
00
00
10
10
11
10
00
00
11
00
11
10
00
10
00
01
10
00
00
11
10
11
10
10
10
11
10
01
00
00
00
11
10
01
01
11
10
01
10
11
10
00
00
10
10
01
11
11
00
00
11
11
10
00
00
10
11
01
00
10
00
11
00
11
10
10
00
00
00
10
10
00
00
11
00
00
10
11
10
00
10
01
10
00
11
10
01
00
01
00
00
11
00
00
10
01
10
10
00
00
11
01
10
00
10
11
10
10
01
00
11
11
11
10
10
11
00
01
01
10
10
11
01
01
00
10
10
11
00
00
10
10
00
00
11
10
00
01
11
11
00
10
11
00
01
00
10
11
00
00
10
00
01
10
00
01
00
00
10
10
01
10
00
10
00
00
00
11
11
00
00
10
10
01
01
00
01
00
01
01
11
10
00
01
10
11
00
10
11
00
01
10
00
01
10
10
10
00
00
01
10
10
10
00
10
01
01
00
00
11
10
00
00
10
10
00
11
00
11
10
01
01
01
00
00
10
10
10
01
01
11
00
01
01
01
10
11
10
00
01
01
00
10
10
01
10
10
00
10
01
00
01
00
00
00
00
00
00
11
10
10
00
11
00
10
01
10
11
10
00
00
10
00
10
10
00
10
10
11
11
10
00
10
00
10
00
00
00
11
00
00
01
10
11
00
10
10
10
11
01
00
10
00
10
10
10
00
10
01
10
00
01
10
00
10
00
10
11
10
00
10
00
00
10
10
11
10
10
10
00
10
10
00
00
00
00
00
01
01
10
10
00
11
10
01
00
10
10
11
00
00
00
10
11
01
10
11
10
01
10
10
00
11
10
01
01
10
00
01
00
11
00
00
11
00
10
00
00
10
01
00
10
01
00
00
00
10
11
00
10
01
10
10
00
00
01
10
10
11
11
00
01
00
01
01
10
10
10
11
00
10
11
01
10
01
00
11
01
10
10
10
01
01
00
00
10
11
11
10
10
10
00
10
10
00
10
00
11
11
01
00
10
10
00
01
10
01
00
11
10
01
10
10
11
00
01
00
10
01
10
10
00
01
10
11
00
00
00
10
11
10
10
00
01
10
10
01
10
00
11
01
10
10
10
10
11
00
10
10
10
01
11
00
00
01
10
11
11
00
00
11
01
00
01
10
00
00
01
10
11
10
00
11
10
00
01
00
01
10
10
01
00
00
00
10
10
10
11
10
11
01
00
00
00
00
10
00
00
00
11
10
10
01
10
10
00
01
00
00
11
11
00
11
00
00
00
11
01
00
00
00
00
10
10
11
00
11
00
10
11
10
10
01
10
11
00
01
10
11
00
01
10
00
10
10
00
01
00
11
00
01
00
10
10
01
10
10
11
01
00
00
01
01
11
11
11
10
00
10
10
11
01
00
10
10
01
00
10
01
00
00
10
01
00
10
11
10
00
10
00
00
00
00
11
11
00
01
00
01
00
10
10
11
00
00
11
10
01
00
00
10
00
01
10
01
10
10
00
00
11
11
11
01
01
10
11
01
11
10
01
00
00
10
11
00
00
10
10
11
00
00
11
00
10
10
01
10
00
00
10
10
11
00
00
00
10
10
11
10
01
00
10
10
01
01
01
10
11
01
01
00
11
01
00
10
01
11
10
00
00
00
11
10
10
01
00
01
01
10
10
00
00
01
00
11
00
01
00
01
10
00
00
00
11
00
00
10
11
00
00
01
00
11
10
00
10
01
00
10
00
01
00
10
10
10
00
01
01
11
10
10
10
10
10
00
00
10
01
01
10
10
10
01
00
10
10
00
10
01
10
10
00
10
00
00
00
00
10
01
00
00
11
11
10
10
11
00
00
00
00
10
01
00
10
10
10
01
01
00
00
11
10
11
00
01
01
01
11
10
10
01
01
00
00
10
10
10
00
10
10
00
01
10
01
01
01
00
10
01
01
01
10
10
00
10
00
00
10
11
10
01
00
10
10
10
01
11
00
00
00
10
11
00
01
11
10
00
00
00
11
01
00
00
00
01
00
01
11
10
11
11
10
10
10
10
10
11
00
00
10
00
11
11
00
00
10
00
00
01
10
11
00
00
11
00
01
00
10
01
11
10
01
11
10
00
01
10
00
11
10
00
11
11
01
10
10
10
01
00
00
00
10
10
01
10
00
00
00
10
00
11
00
00
10
11
00
10
00
00
00
00
01
10
10
01
11
01
10
10
01
10
10
00
00
00
10
11
11
01
10
00
11
11
01
11
11
01
10
10
01
00
10
11
11
01
10
11
00
10
10
10
00
01
10
10
10
00
10
00
01
01
01
01
10
10
00
00
11
10
11
00
10
01
01
11
01
01
11
11
11
01
00
11
00
11
10
00
00
10
10
01
00
11
00
00
11
00
00
11
11
10
01
10
00
10
10
00
01
10
11
10
00
10
01
11
11
00
01
00
01
00
10
00
00
00
10
10
00
00
00
10
00
01
10
10
00
10
00
01
10
00
00
10
10
10
00
10
01
10
10
10
00
00
10
10
00
10
11
10
10
01
00
10
10
10
10
10
00
10
00
00
11
10
00
10
10
10
11
01
00
00
00
00
10
10
00
11
11
00
01
01
10
00
01
01
10
11
11
01
00
00
01
11
01
01
00
11
00
11
10
00
01
10
00
01
11
10
10
00
00
10
10
11
00
00
00
00
10
01
00
10
10
00
10
10
11
10
00
00
00
10
01
00
01
01
00
10
10
00
10
01
00
00
11
10
00
01
01
00
11
00
01
10
10
01
11
01
11
01
00
10
10
01
10
10
00
01
10
10
01
00
01
00
11
10
11
00
01
00
10
10
00
11
00
00
00
00
11
00
01
00
00
11
10
11
10
00
00
10
00
00
11
10
00
00
00
11
10
10
01
00
11
11
01
00
01
01
01
10
00
10
00
10
10
11
11
00
00
10
11
00
00
11
10
00
00
10
11
00
00
00
01
10
01
10
01
10
10
00
11
00
00
10
00
10
01
00
10
00
10
00
00
00
00
00
10
10
10
01
10
01
00
00
11
10
01
01
11
10
01
00
10
01
10
10
11
11
00
00
01
00
11
00
01
01
01
10
00
00
10
00
11
11
01
11
01
10
00
00
01
01
10
10
11
10
10
00
00
10
10
00
00
10
00
10
10
10
00
01
10
00
11
11
01
01
00
10
11
00
10
00
00
10
01
10
01
00
11
11
10
10
10
10
01
11
11
10
10
10
01
10
11
00
01
00
00
11
10
00
00
10
01
10
00
10
10
11
00
10
00
01
11
00
01
10
01
11
10
01
00
11
00
11
00
10
01
10
10
10
10
01
00
11
10
00
10
10
10
00
10
10
10
11
10
01
00
00
01
01
01
10
00
10
00
00
11
10
01
10
01
10
10
00
10
10
01
11
00
00
01
00
10
10
00
10
10
10
11
00
10
01
00
00
00
10
00
11
10
00
11
10
11
11
11
00
11
01
00
10
10
00
11
00
10
11
10
01
10
10
01
11
10
00
10
11
11
00
00
11
11
10
10
01
01
11
00
11
00
01
00
01
11
10
11
11
01
01
00
11
10
01
01
01
10
11
01
00
10
11
10
01
10
11
00
01
00
10
01
00
10
00
01
10
11
10
00
00
10
01
00
10
11
00
01
11
00
01
10
10
00
10
11
10
00
01
00
10
00
11
10
00
10
00
10
10
00
00
10
00
11
01
01
00
10
00
00
00
00
11
10
11
01
10
00
01
00
00
10
10
11
11
01
10
01
00
10
00
00
00
00
00
10
01
01
01
11
00
00
10
01
11
00
00
10
11
00
00
10
00
00
00
00
10
00
10
10
00
10
00
01
10
10
00
11
11
11
01
00
00
01
11
10
01
01
10
10
00
01
11
10
11
10
00
00
10
00
10
10
10
10
01
11
00
10
10
10
10
00
00
01
00
01
01
10
11
10
11
00
01
10
10
00
01
00
00
10
10
00
00
00
00
11
00
01
11
11
00
00
11
11
11
00
00
10
01
01
11
10
10
10
10
11
00
00
00
11
10
10
11
10
10
10
00
00
01
10
10
00
01
11
00
00
10
11
10
00
01
10
00
11
10
00
01
10
10
00
01
10
00
01
10
00
11
00
00
10
10
11
00
00
00
11
10
00
00
10
10
10
11
10
00
11
01
11
00
00
10
11
11
01
10
10
00
00
10
10
01
01
01
00
11
10
01
10
01
00
10
11
00
01
00
00
10
10
01
00
10
11
11
00
10
11
00
00
01
11
10
00
00
10
00
00
11
00
01
00
11
01
11
10
00
11
00
10
11
00
00
10
00
10
10
11
10
10
11
00
00
10
10
10
10
01
00
00
10
11
00
00
01
01
00
01
01
10
00
10
10
10
10
01
01
00
11
00
00
10
10
11
00
11
10
11
00
11
00
00
11
11
01
10
00
01
00
10
10
00
00
10
00
10
10
01
10
01
00
10
10
00
01
10
00
01
10
00
01
00
00
00
10
10
10
11
01
11
10
01
00
00
00
10
10
01
11
10
01
00
11
10
01
00
10
10
00
00
10
11
10
00
10
11
11
00
00
00
10
10
11
10
01
01
10
00
00
01
11
00
01
10
10
00
10
11
00
00
11
00
11
10
00
00
00
10
00
10
10
10
11
00
00
00
01
01
00
00
00
11
10
10
10
00
00
00
10
10
10
10
10
11
00
10
10
01
00
00
00
10
10
00
10
00
00
10
01
00
11
00
10
00
10
01
00
01
10
00
10
01
11
10
10
00
10
10
01
00
10
11
11
00
11
10
00
10
01
10
00
10
10
01
10
10
00
10
10
01
00
11
00
00
10
00
01
10
01
01
10
01
11
11
11
00
11
11
00
00
00
10
10
10
00
00
10
00
00
11
00
10
00
11
01
10
00
00
10
11
11
10
10
00
01
01
00
00
01
10
11
01
01
10
00
10
10
10
00
01
10
11
00
11
01
01
11
00
11
00
00
11
11
00
00
11
11
10
00
00
11
00
01
01
00
01
10
10
11
11
00
11
11
00
10
00
10
01
00
11
11
10
00
00
00
00
00
10
10
11
11
11
01
00
11
10
10
10
01
01
11
10
11
00
00
10
00
10
11
11
01
00
10
10
10
00
00
11
10
01
10
10
10
11
11
10
01
01
10
01
01
10
01
01
10
10
00
11
10
00
00
10
10
00
10
11
00
00
00
10
10
11
00
00
10
00
11
00
00
00
10
00
00
01
10
10
10
10
10
11
10
00
11
10
11
01
00
10
10
11
11
10
10
00
10
11
00
00
10
00
11
01
10
10
11
10
00
10
00
11
01
00
00
10
11
00
10
10
00
01
10
00
01
11
00
10
11
10
11
11
01
01
00
01
00
00
10
00
00
10
10
00
00
00
10
10
00
10
10
11
00
10
11
11
01
10
10
01
10
11
10
10
01
00
11
00
01
10
10
00
10
01
00
00
00
10
00
00
11
10
00
01
01
10
11
00
11
10
10
10
11
11
01
10
00
00
01
10
10
00
00
11
00
11
10
11
10
01
10
10
10
00
01
10
10
00
00
00
00
00
11
11
00
01
00
10
00
10
10
01
01
01
01
10
11
00
00
00
00
00
10
10
11
10
10
01
10
01
10
01
00
00
01
10
10
01
01
01
00
00
11
01
00
11
01
00
00
01
01
01
10
10
00
10
10
10
10
01
01
00
01
00
10
10
00
10
10
00
00
00
01
10
00
10
11
11
11
11
00
00
00
01
11
01
01
10
00
00
00
10
10
00
10
00
00
10
10
10
00
01
00
10
00
10
10
00
11
10
00
00
00
10
00
10
11
01
01
10
01
01
00
01
00
10
11
11
00
00
01
01
00
00
00
00
01
10
10
10
00
01
10
10
01
10
10
11
10
00
10
00
01
11
11
11
10
11
00
00
00
10
11
10
10
00
00
10
10
00
01
01
11
00
10
00
01
00
11
00
01
10
00
11
01
00
11
00
01
11
00
01
11
00
00
10
00
10
11
10
01
00
00
10
00
01
11
00
00
11
10
01
10
11
00
00
11
10
01
01
11
10
10
10
10
00
00
10
00
00
00
01
11
11
00
11
10
11
10
00
01
10
11
00
00
10
01
10
00
00
10
11
10
10
00
10
10
11
00
10
01
00
00
11
10
00
10
00
01
10
10
00
00
10
10
10
00
10
10
11
10
01
10
10
11
10
10
01
10
10
00
00
10
00
00
01
10
10
00
00
10
00
01
11
01
00
01
01
00
00
11
01
00
11
10
00
00
11
11
10
10
11
11
11
10
01
10
11
01
01
10
01
10
00
01
10
11
00
11
10
00
00
10
01
01
00
11
01
00
00
11
10
01
10
10
01
10
10
00
10
00
00
10
11
10
10
00
00
01
10
11
10
01
00
11
11
00
11
00
11
10
11
01
11
11
01
11
01
00
01
00
10
00
10
10
00
01
10
00
10
10
00
11
00
00
10
11
11
10
00
11
10
11
10
01
01
00
00
10
10
11
10
10
10
10
10
00
00
00
10
11
00
10
00
11
11
10
00
00
10
01
01
10
10
01
11
00
00
01
10
00
10
10
00
10
11
10
00
10
00
10
10
01
10
10
00
00
10
10
10
00
01
00
10
00
00
11
00
11
10
10
01
11
10
00
01
10
11
00
00
11
10
10
01
10
11
10
10
01
10
01
11
00
01
01
10
00
01
10
11
00
01
11
01
01
01
01
11
00
00
10
01
10
10
00
01
10
10
01
00
00
00
11
10
00
00
00
01
10
10
10
00
01
00
11
10
00
00
00
00
01
00
11
00
11
10
00
10
00
00
10
10
00
00
00
00
00
10
10
10
10
01
10
10
00
00
10
00
10
10
01
00
00
01
10
00
10
00
01
10
10
11
01
00
00
10
11
11
00
11
11
01
00
01
01
00
11
10
11
00
01
00
11
10
01
01
11
11
00
10
00
11
10
00
00
10
10
00
11
01
10
10
10
00
00
10
10
00
01
00
10
10
10
11
00
10
10
10
10
00
10
11
10
00
00
11
00
00
00
00
10
10
00
00
00
00
00
11
00
11
10
10
10
01
00
11
11
00
11
00
10
10
10
00
00
10
10
00
00
10
00
01
11
00
01
10
10
00
00
11
01
00
11
10
10
01
00
01
10
00
00
00
00
01
10
11
10
00
10
00
00
01
00
10
01
00
00
10
01
00
10
11
10
11
00
00
10
10
11
00
00
10
11
00
00
11
00
11
10
11
10
00
00
01
10
00
01
11
01
00
11
01
01
11
11
11
10
00
00
00
10
00
00
10
00
00
00
10
10
01
00
10
10
00
11
10
00
00
11
00
00
00
10
00
11
10
11
10
11
10
11
00
00
10
10
10
00
10
10
00
10
00
00
00
00
10
10
10
11
10
11
11
01
00
01
10
01
10
00
00
10
00
11
00
01
10
10
01
01
01
10
11
00
01
10
10
10
00
01
10
00
01
01
11
00
00
10
11
10
00
00
11
01
00
11
00
10
01
11
10
00
00
11
00
10
10
00
01
01
00
00
11
10
10
11
01
10
10
00
11
10
00
00
11
10
11
01
01
11
10
00
00
00
11
01
10
11
00
10
00
01
10
00
10
00
01
10
01
10
01
00
00
00
10
11
01
11
10
11
10
00
01
01
10
10
00
00
10
01
01
10
10
00
11
00
10
00
10
10
10
00
10
10
00
01
01
00
11
00
10
10
00
00
10
10
10
11
11
00
10
00
10
10
01
00
00
10
11
00
00
00
10
11
00
01
10
10
10
00
00
10
00
10
01
00
10
00
11
00
00
00
01
00
00
11
00
10
10
10
00
00
01
10
10
00
01
01
10
10
11
11
00
01
00
00
00
11
11
00
01
11
10
11
01
10
10
10
10
01
10
11
00
10
10
00
01
01
00
10
10
10
10
00
01
01
10
00
10
00
11
00
00
10
00
00
00
00
11
10
10
01
00
11
00
00
00
00
00
11
01
10
10
00
11
01
10
11
00
00
10
01
01
00
10
10
00
11
10
00
00
10
01
00
00
11
00
01
10
01
10
10
10
10
11
01
01
11
10
01
00
00
00
11
10
00
10
00
10
00
01
10
11
00
11
11
01
01
10
11
00
01
11
10
01
00
11
00
10
00
01
10
10
10
00
10
00
01
01
00
11
00
10
10
00
00
10
00
11
10
01
10
00
10
00
10
10
10
00
01
10
10
00
01
10
00
10
10
01
00
11
11
00
10
11
10
11
10
10
00
01
10
10
01
00
10
00
01
10
10
00
10
00
10
01
01
10
11
00
00
01
11
00
11
00
11
10
10
01
10
00
11
00
01
01
01
11
01
00
11
00
01
10
10
10
00
11
11
00
01
01
10
00
00
01
11
10
00
10
10
10
00
11
10
10
11
01
11
00
11
10
10
10
00
00
00
11
10
10
11
10
10
11
00
00
01
11
00
11
01
10
10
10
01
01
11
10
00
01
00
10
00
10
11
00
10
00
11
00
00
01
00
10
00
11
10
10
00
00
11
10
11
00
00
11
11
01
10
00
00
10
10
10
10
00
10
10
00
00
10
11
00
01
01
10
00
11
00
11
10
00
10
11
10
10
01
00
10
01
01
00
00
11
10
11
01
00
10
10
10
10
01
00
10
10
11
11
00
10
10
11
10
00
00
00
00
00
10
00
00
00
10
01
01
10
00
00
10
00
10
01
00
00
00
10
10
00
00
11
10
00
00
10
01
11
00
00
10
01
10
10
00
01
00
10
10
00
11
11
01
00
00
10
00
00
10
01
01
11
10
00
11
10
00
11
01
10
10
00
00
01
00
11
01
01
11
10
00
00
11
00
10
10
00
10
00
10
00
01
11
00
01
11
11
00
11
00
01
00
10
11
01
00
00
01
01
10
11
10
00
00
10
00
10
10
00
00
00
00
11
01
11
10
11
11
00
00
10
10
01
10
01
00
00
10
10
10
01
00
11
00
10
10
00
00
10
10
00
11
00
01
00
11
10
11
11
00
11
10
00
00
10
10
10
01
11
10
00
10
11
01
01
10
11
00
00
11
11
10
00
10
10
00
10
00
00
10
11
10
00
01
01
10
10
10
11
10
01
10
00
01
01
00
10
01
00
01
11
00
00
10
00
01
00
10
10
01
00
01
10
10
00
00
11
11
00
11
10
10
11
00
00
10
11
01
00
10
10
00
00
11
00
10
10
00
10
10
01
01
01
10
11
01
11
11
01
01
01
01
11
01
10
10
10
10
00
00
10
10
10
00
11
10
10
01
01
10
11
10
00
11
11
01
00
10
10
00
01
00
00
10
00
10
00
00
10
11
01
01
00
11
11
00
11
00
10
10
10
01
01
01
10
00
10
10
00
00
01
11
10
00
10
01
10
00
00
10
11
10
10
10
10
10
00
00
10
00
01
00
10
11
11
11
10
10
00
10
11
00
00
11
10
11
01
00
11
10
01
01
00
10
00
01
11
01
10
11
00
10
00
00
11
11
11
01
01
00
00
10
11
11
00
00
10
10
10
11
00
00
00
10
10
00
01
00
10
11
11
00
01
01
11
11
00
10
11
01
01
10
01
00
10
00
00
10
10
11
00
10
10
01
10
11
01
00
10
00
01
10
10
00
00
10
00
01
00
01
10
10
11
00
00
10
01
00
11
00
00
01
11
10
10
00
01
10
01
10
10
11
01
10
11
00
01
10
10
10
00
10
11
00
11
10
00
10
11
01
00
01
10
11
00
01
00
00
11
01
00
10
00
01
11
10
11
10
11
11
00
01
00
00
10
00
00
11
10
01
00
01
00
11
01
00
11
11
10
00
10
10
11
10
00
11
00
11
00
11
01
11
00
01
01
11
00
00
00
10
10
10
11
01
10
00
11
00
00
00
10
00
00
11
10
11
10
10
00
01
10
00
00
01
00
10
11
10
00
01
11
10
00
00
10
10
00
00
01
01
10
00
10
00
00
00
00
10
10
10
10
10
10
00
00
01
10
10
10
10
00
10
01
00
11
01
10
00
10
11
00
11
10
11
10
00
11
00
01
10
00
00
00
00
10
10
00
10
10
00
00
10
00
00
00
01
00
10
11
11
11
11
01
00
10
00
10
10
00
00
10
10
01
10
10
00
00
10
00
01
01
01
11
00
10
11
10
10
00
11
10
11
00
10
01
00
00
01
10
00
10
10
10
10
00
00
01
11
01
01
11
10
11
00
00
10
01
10
10
10
00
00
11
10
11
11
10
00
00
11
00
10
00
01
00
10
00
10
10
00
00
01
01
10
11
10
01
00
10
11
10
00
00
00
00
00
01
10
00
00
11
00
10
10
00
00
00
10
10
01
01
10
10
10
01
10
11
01
10
00
10
10
01
00
10
11
00
11
11
11
10
11
00
11
10
00
00
00
11
10
10
00
01
10
10
10
10
11
00
00
10
01
10
00
01
11
00
01
00
01
11
10
10
00
00
10
11
00
01
11
10
00
00
10
01
10
11
00
10
11
11
01
00
00
11
11
10
10
00
00
00
11
10
00
10
01
00
11
00
10
11
01
00
01
00
10
01
11
01
01
11
10
00
10
00
00
10
10
00
00
11
11
00
01
10
00
10
01
11
00
01
10
01
11
00
11
00
00
10
00
10
10
10
01
01
10
01
10
10
11
00
00
11
11
10
00
00
10
10
00
00
10
10
00
10
10
00
10
11
01
00
00
10
00
01
11
10
00
10
10
00
00
00
10
00
01
00
00
10
10
00
11
10
01
10
10
10
00
01
10
11
10
00
10
11
10
00
10
10
11
01
01
11
10
00
10
00
01
00
00
10
10
00
01
10
11
11
10
00
01
00
11
10
01
01
00
00
10
11
00
00
10
10
10
00
00
10
11
11
00
01
01
10
11
00
01
11
10
00
11
01
10
10
01
10
00
10
10
00
10
00
01
10
01
00
10
00
10
00
00
00
10
01
00
00
10
10
01
11
01
11
00
01
00
00
11
10
01
00
10
10
00
01
10
00
00
11
10
00
00
01
11
01
00
10
10
00
00
10
10
00
00
00
10
11
10
10
00
10
10
10
00
11
00
00
00
10
01
10
00
00
10
11
10
10
00
10
00
10
10
00
10
10
01
10
01
00
11
11
01
00
10
10
00
01
00
10
10
10
00
11
00
00
00
11
10
10
10
00
00
10
11
01
00
11
00
01
10
11
00
10
10
10
10
10
10
01
00
00
01
01
01
00
00
11
00
10
11
10
00
01
11
10
11
10
00
11
11
00
00
11
10
11
01
11
01
00
10
10
11
00
00
10
11
10
00
00
00
10
10
00
00
11
10
00
00
10
00
10
00
00
11
11
00
01
00
00
01
11
11
01
01
10
00
00
00
01
10
11
00
00
10
10
10
00
10
10
01
00
00
01
10
01
11
00
00
11
10
10
00
00
01
00
00
10
10
11
11
10
10
10
10
11
01
10
11
00
00
10
01
01
11
00
00
00
00
01
11
01
00
00
01
01
00
01
00
10
10
10
10
10
01
01
00
10
00
10
00
10
11
00
10
11
10
00
00
11
11
10
01
11
10
00
00
00
00
10
10
00
00
00
00
01
10
10
10
11
11
00
10
10
11
11
01
00
10
10
00
01
00
01
00
11
10
00
00
11
11
10
00
00
10
10
10
00
10
00
11
00
11
11
01
01
10
00
10
11
00
01
01
01
10
10
11
00
00
10
10
00
11
01
00
10
00
10
01
00
10
10
10
10
01
11
10
11
00
10
11
10
00
00
00
10
00
10
10
11
11
00
10
10
00
10
11
10
01
00
01
00
10
01
01
10
00
10
11
10
10
01
10
00
00
10
00
00
11
10
11
10
00
00
10
00
10
11
00
11
10
01
10
10
00
00
00
00
11
10
01
01
00
01
11
00
00
00
10
10
10
00
00
00
00
11
10
11
10
11
10
01
01
10
01
00
10
10
10
01
10
10
01
10
01
00
11
10
11
00
01
10
10
00
10
10
00
11
10
10
11
00
10
01
00
11
11
00
01
11
11
01
10
01
00
00
01
11
10
00
00
10
00
11
00
00
11
00
01
10
10
00
00
10
00
10
10
10
01
10
10
10
10
01
00
11
10
10
00
10
10
00
00
10
00
00
00
00
10
11
00
00
01
01
10
00
10
00
11
11
01
00
00
10
10
10
10
10
11
00
10
00
01
10
01
00
10
10
00
10
10
00
00
11
00
00
11
00
11
10
00
00
10
01
10
10
01
11
10
01
10
10
00
00
00
01
00
10
10
10
00
10
11
00
01
00
01
10
10
10
11
01
10
01
00
10
01
01
00
11
00
00
10
10
00
10
10
00
00
00
01
10
00
10
10
01
00
00
10
00
00
00
10
10
00
10
11
10
10
00
00
01
11
10
00
00
10
11
10
00
10
00
00
00
00
10
10
10
01
10
01
11
00
00
00
00
00
10
10
00
10
00
10
10
11
11
00
10
10
00
00
00
10
10
10
10
01
11
00
01
10
11
10
11
11
01
01
11
10
00
10
11
00
00
10
01
11
11
10
11
00
11
10
00
00
10
01
01
10
11
00
01
00
10
10
01
10
00
10
10
10
01
00
11
00
10
00
01
00
11
01
00
11
11
00
10
00
10
10
00
00
00
10
10
11
01
10
01
10
00
00
00
10
01
11
10
11
10
11
01
11
00
11
11
10
00
11
10
00
10
00
00
00
10
10
11
10
00
10
01
00
10
11
11
00
00
00
00
10
11
00
10
10
00
10
00
10
01
00
11
10
11
00
11
00
10
01
00
10
11
10
01
01
10
00
01
00
01
00
10
11
01
00
11
10
00
00
01
01
10
00
00
10
10
10
10
10
10
11
00
00
10
00
10
11
00
10
01
11
01
00
00
10
10
01
10
11
01
01
00
00
00
00
10
11
00
10
00
00
01
00
00
10
01
11
00
00
01
10
10
00
10
01
10
10
00
10
10
00
00
10
10
01
00
00
01
10
00
11
00
00
10
10
00
00
10
11
10
00
01
10
00
11
11
01
10
01
10
00
00
10
00
00
11
10
00
10
11
01
11
00
10
00
00
11
10
10
00
00
00
10
11
00
00
01
01
01
01
01
00
11
11
10
01
00
00
10
11
01
10
00
00
00
11
11
01
10
10
00
00
00
01
10
00
01
00
10
00
00
10
10
00
00
01
10
01
10
10
11
00
11
01
00
10
00
00
01
10
10
00
10
10
10
10
00
10
10
01
01
11
10
00
10
01
10
10
10
00
00
00
00
10
00
10
10
00
01
01
11
00
01
10
00
11
10
01
11
01
01
10
10
00
00
10
10
11
11
01
01
10
10
00
00
10
10
01
00
01
11
01
11
11
10
00
01
11
01
01
10
00
01
11
11
01
01
10
10
00
01
01
10
11
01
00
10
10
10
00
01
11
00
10
10
10
10
11
00
00
00
11
10
01
00
01
01
00
10
10
10
00
00
00
10
01
00
01
10
00
00
01
10
10
00
11
10
10
11
11
01
01
00
00
01
10
11
01
10
10
10
00
00
10
10
11
10
11
10
00
01
11
00
00
11
11
00
00
11
00
00
00
10
10
01
00
00
00
10
11
10
11
10
01
00
10
00
00
10
01
10
10
11
11
00
01
01
10
00
10
00
00
00
10
11
01
10
10
10
01
01
10
00
10
10
00
00
01
11
10
10
10
01
11
01
01
10
01
10
11
01
00
01
10
10
00
10
10
11
00
01
00
00
10
10
01
10
10
00
00
10
00
00
00
11
10
10
01
10
10
10
01
00
10
00
00
00
01
11
10
10
10
00
01
00
00
10
10
00
11
10
01
11
11
00
10
10
11
00
11
11
01
00
10
10
00
10
00
00
10
10
11
10
11
00
00
00
01
10
10
01
00
10
00
00
00
00
10
11
10
01
00
10
10
11
10
00
00
00
11
00
01
00
10
10
10
01
01
10
10
01
10
10
00
10
00
00
01
00
00
01
10
00
00
01
10
00
01
10
10
01
11
00
10
00
10
00
00
00
10
11
11
00
10
00
10
10
00
10
10
00
01
10
00
11
10
10
01
00
11
00
00
10
00
00
10
10
01
00
01
10
10
00
11
10
01
10
10
10
10
11
00
01
10
10
01
01
11
00
01
10
01
00
10
00
00
10
10
00
00
10
10
11
00
10
10
01
00
10
01
10
11
01
11
00
01
01
00
10
11
00
10
10
00
10
10
10
01
10
00
01
11
00
10
10
10
01
10
00
01
00
11
00
01
10
11
00
01
01
11
10
01
00
11
00
00
01
11
10
00
00
10
10
10
01
10
10
00
10
00
00
00
11
10
01
01
00
10
10
01
01
10
11
01
11
11
01
10
00
00
10
00
00
11
01
00
10
11
10
10
00
00
10
10
01
11
00
10
11
10
01
10
01
00
00
10
00
00
11
11
10
11
10
10
01
11
00
11
01
01
10
01
00
00
00
10
10
10
10
00
11
00
10
10
10
00
00
10
11
00
11
00
01
00
10
00
10
00
11
11
00
11
11
01
00
00
01
10
10
00
10
00
11
11
10
00
00
01
10
01
01
11
10
10
01
00
00
11
00
01
10
10
01
11
10
10
10
00
11
00
10
00
10
10
10
00
00
00
11
01
01
00
01
10
11
11
00
10
00
01
10
10
01
01
10
11
10
00
00
01
01
00
10
10
11
10
01
10
00
00
10
01
00
01
01
10
11
00
10
10
00
00
00
10
10
10
00
10
00
01
01
01
01
01
10
10
00
11
11
00
00
00
11
11
00
10
11
00
01
10
11
00
10
11
11
00
00
01
10
11
10
00
01
10
11
00
01
00
10
10
01
00
10
10
00
00
00
11
10
00
01
10
00
11
10
00
00
00
10
11
00
10
10
11
10
10
10
01
10
10
10
00
01
10
00
10
10
00
01
00
10
00
11
00
00
11
11
10
00
00
10
10
01
00
01
00
10
01
01
10
10
10
00
10
01
00
10
10
00
00
00
10
10
00
01
10
00
00
10
00
10
10
00
01
10
00
00
00
10
10
10
00
10
01
00
00
10
10
10
00
00
01
10
10
01
10
11
11
01
00
00
00
00
11
00
01
11
10
10
10
00
01
10
10
00
00
11
00
00
11
00
10
00
10
10
00
00
10
00
10
00
00
00
00
01
00
11
00
00
10
00
10
01
10
01
10
10
10
01
10
00
00
00
11
00
01
11
10
10
11
10
00
10
10
00
10
00
01
11
10
00
10
00
11
11
01
00
11
11
11
01
00
00
10
10
00
10
10
00
00
10
10
00
00
01
11
10
11
00
00
10
10
00
01
01
10
10
10
00
00
00
11
01
10
01
10
10
01
11
00
10
10
00
01
11
10
10
11
10
01
00
10
01
10
10
00
00
10
11
00
00
00
11
10
11
01
01
10
00
11
01
11
10
01
10
11
00
11
00
00
10
00
00
11
10
00
10
11
10
10
00
11
10
00
00
00
00
11
10
01
10
10
11
10
11
11
10
10
00
10
10
00
10
11
10
00
00
10
00
01
00
01
11
00
11
00
10
10
00
01
00
11
10
10
01
10
01
11
00
01
00
11
10
11
00
10
10
00
11
10
10
00
01
10
10
11
11
01
00
01
00
10
01
10
10
01
01
10
00
00
00
00
10
11
10
00
01
01
10
10
10
00
11
00
00
10
10
11
01
10
01
10
10
10
10
00
00
10
11
01
01
10
10
10
11
11
10
00
00
10
00
10
11
10
00
11
10
01
00
00
01
00
10
00
10
10
01
00
10
00
00
10
01
01
10
00
00
00
10
00
00
01
00
01
10
01
00
10
01
11
10
10
11
11
01
10
01
01
10
10
00
01
00
10
11
00
10
11
00
00
01
10
10
01
10
01
00
00
11
11
00
10
00
00
10
11
00
10
10
00
00
00
11
10
10
10
10
10
01
11
10
10
00
11
00
00
10
01
10
11
10
00
00
11
11
01
01
00
10
00
11
10
00
11
10
10
00
11
11
00
00
01
11
10
00
00
00
00
00
11
10
11
01
00
00
11
10
00
00
10
10
10
10
10
01
01
10
11
11
10
01
00
00
00
10
10
00
01
10
01
00
01
11
11
01
00
11
10
10
01
00
10
00
00
10
10
10
11
11
10
00
00
10
10
10
10
01
10
00
00
10
00
00
00
11
01
00
00
00
01
00
11
10
00
00
10
10
00
10
10
00
11
00
10
00
11
10
11
11
00
01
01
01
00
00
10
11
00
00
00
10
10
00
10
10
10
10
01
00
10
10
10
01
11
10
00
10
01
10
11
00
10
10
00
01
11
00
10
10
10
00
10
00
00
00
01
00
10
10
10
00
10
00
10
01
00
10
11
10
01
00
11
10
00
00
00
00
10
00
10
01
01
01
00
10
01
00
10
10
01
11
00
00
11
01
00
00
00
11
11
11
11
00
00
10
01
10
00
11
11
00
01
10
10
10
10
01
00
00
10
10
01
10
10
11
00
10
10
01
01
00
10
01
10
10
01
11
10
10
00
11
00
10
00
01
00
10
11
10
10
00
10
01
10
00
01
10
00
10
11
00
01
10
00
10
00
00
11
10
01
10
01
10
10
10
11
10
00
10
10
10
00
00
11
11
01
01
00
10
00
11
10
10
00
00
00
01
01
11
10
00
11
10
00
10
11
00
00
00
10
11
10
01
00
00
00
10
00
10
10
00
01
11
00
00
00
01
11
10
10
00
10
10
00
10
10
00
11
11
10
01
00
00
10
01
10
10
10
00
01
00
10
10
00
00
10
10
10
01
00
10
01
00
01
00
00
01
10
11
00
00
10
10
01
11
10
01
10
11
01
00
01
01
10
11
01
11
11
00
00
00
10
10
01
10
10
00
01
00
00
00
11
10
00
00
10
10
11
00
00
11
01
10
11
00
10
11
01
10
11
11
10
11
00
10
00
00
10
11
10
01
01
10
11
11
00
00
00
10
01
00
10
00
00
11
10
10
10
11
10
01
11
10
01
01
10
10
00
10
00
10
00
10
10
00
10
10
00
01
00
10
10
10
00
00
11
00
00
11
01
00
10
10
01
01
00
01
11
10
00
10
10
10
00
00
11
11
10
10
00
11
11
00
01
01
11
10
00
10
00
00
10
10
01
01
01
01
00
00
00
10
10
11
01
00
10
11
00
10
00
01
10
00
00
00
01
11
00
00
00
10
10
01
11
10
10
01
00
11
00
10
11
00
00
01
10
10
00
10
10
01
10
10
10
00
10
00
11
01
00
10
01
01
00
00
00
00
10
11
00
10
10
01
00
10
01
11
00
01
10
10
01
10
11
01
00
11
00
00
10
00
00
01
10
11
10
00
11
01
10
10
01
00
01
00
11
10
11
11
11
11
00
01
10
00
00
10
10
11
00
01
00
00
00
10
00
10
11
00
10
00
00
00
00
10
11
01
10
11
01
10
10
00
01
10
10
00
00
00
00
10
10
00
11
11
00
10
10
01
00
00
00
00
10
00
10
10
10
01
00
10
10
11
10
01
01
11
11
00
11
00
01
10
00
11
11
01
11
00
01
11
01
01
00
10
11
01
10
11
00
01
01
10
01
00
11
10
10
11
01
00
00
00
11
00
00
00
00
11
11
10
10
10
01
10
10
00
11
00
10
00
01
00
00
00
01
10
00
01
10
10
00
00
11
00
00
00
10
10
00
00
00
00
11
00
10
00
00
10
10
00
11
10
10
00
10
11
10
10
01
10
11
00
01
10
01
00
00
10
10
01
10
11
00
00
01
10
00
01
10
10
00
00
00
00
10
00
00
10
01
00
10
10
00
00
10
10
01
01
00
00
11
01
10
10
10
11
10
00
00
00
11
10
00
01
10
10
00
11
01
10
00
01
10
01
10
10
10
00
01
11
00
00
11
01
00
10
01
10
10
01
11
10
10
00
11
01
11
00
00
10
11
10
00
01
10
00
10
10
00
10
00
00
10
10
00
01
01
01
10
11
01
00
00
00
10
10
00
01
10
00
10
00
10
01
00
10
10
01
10
11
10
00
00
00
00
11
10
11
10
11
01
11
10
01
10
11
11
00
01
11
00
00
10
11
10
00
01
10
01
10
11
00
11
10
10
11
00
00
11
00
01
00
10
01
00
11
00
00
10
00
10
01
00
10
00
11
10
11
10
00
00
10
10
10
10
00
00
10
11
10
01
11
10
00
01
10
10
00
10
10
00
10
10
10
00
00
00
10
11
10
11
11
10
10
10
00
10
00
00
00
00
11
10
01
00
01
10
00
00
10
00
11
11
00
10
00
10
10
11
00
00
10
00
10
10
10
00
10
10
10
00
10
10
11
10
11
11
10
00
10
00
01
10
10
01
10
10
11
01
00
01
01
01
01
00
10
10
10
01
11
00
01
01
11
11
01
00
10
10
00
11
10
00
11
10
11
00
10
00
00
00
11
00
01
11
11
00
10
11
01
00
11
10
00
00
11
11
10
01
00
11
10
00
10
00
10
10
10
01
00
10
00
00
00
00
01
00
00
10
00
11
10
01
11
11
00
01
00
11
11
00
10
01
00
11
10
00
00
10
01
00
01
01
00
11
11
10
10
10
11
00
00
10
00
00
10
01
00
11
10
11
10
11
00
01
01
10
10
01
11
11
11
11
00
00
00
10
01
10
01
00
01
10
10
10
10
10
11
00
01
11
00
11
11
01
11
10
01
00
01
11
10
00
00
00
10
10
00
00
10
10
00
01
00
10
00
10
10
11
11
00
10
01
00
00
10
01
00
10
00
11
00
10
10
11
00
01
11
00
10
11
10
00
01
10
00
11
10
00
01
01
01
10
10
01
10
01
10
10
00
00
11
00
00
00
11
10
00
11
10
10
00
11
01
11
10
00
10
10
01
01
10
10
00
00
10
00
10
10
01
00
00
00
01
01
10
00
00
10
10
01
00
00
11
10
10
10
10
00
01
00
00
10
10
10
10
10
00
10
01
00
11
00
00
10
00
10
10
10
00
00
10
11
11
10
00
11
01
10
10
11
00
00
00
10
00
11
10
01
00
10
00
00
00
01
01
01
01
00
01
00
00
10
10
01
11
01
10
00
10
11
00
10
11
00
00
00
00
11
01
00
01
00
10
01
10
10
01
00
11
00
11
10
10
10
00
01
11
10
10
00
00
10
10
10
10
01
00
11
00
01
00
00
10
01
11
10
00
11
01
01
00
01
11
10
00
01
01
11
10
11
00
11
10
01
10
10
10
01
00
01
10
10
10
00
00
11
01
00
10
10
01
10
00
00
00
11
11
10
00
10
10
11
10
00
11
00
00
11
10
00
10
01
10
00
00
10
10
01
01
10
10
01
10
00
10
10
01
01
00
01
01
00
10
00
11
11
00
00
01
11
10
11
10
01
10
10
00
00
10
01
01
11
10
00
00
01
00
00
10
10
00
10
01
00
10
01
00
00
00
10
00
11
10
00
00
10
11
10
11
10
10
00
10
01
00
00
11
00
10
01
00
11
11
00
01
00
00
10
00
10
11
10
11
01
10
00
01
00
10
00
00
11
10
01
00
11
00
10
00
01
10
11
10
00
01
10
11
10
00
00
11
00
10
10
00
11
01
10
00
10
01
00
10
00
11
10
00
00
01
11
11
00
11
00
10
10
00
01
10
11
00
10
01
11
00
11
11
00
10
10
10
10
00
00
10
01
00
11
10
01
00
10
10
10
01
01
00
11
11
10
00
01
00
11
00
00
01
11
11
01
11
11
00
10
01
00
10
01
10
10
01
11
10
01
00
10
00
00
00
00
10
10
00
01
00
11
01
00
10
00
00
10
11
10
00
00
10
00
11
01
00
10
00
01
01
00
11
10
11
10
11
00
10
10
00
00
11
11
00
10
01
00
01
10
10
11
10
01
00
00
10
10
00
00
10
11
10
00
00
01
10
10
01
01
10
11
11
11
10
10
01
11
01
00
11
11
10
01
11
01
00
10
10
10
00
10
01
00
00
11
00
11
11
10
01
00
01
00
10
10
00
10
10
11
00
10
00
11
00
00
01
10
01
10
11
01
00
11
11
00
11
00
00
10
00
00
10
00
00
11
10
00
10
10
10
01
11
00
00
10
10
01
00
00
00
00
00
00
11
11
10
00
10
00
10
10
00
11
10
00
00
00
10
11
10
10
10
10
10
11
11
11
00
01
01
00
10
10
00
10
00
00
01
10
11
01
01
10
11
01
10
11
00
00
10
10
00
11
10
10
10
01
00
10
11
01
11
01
00
11
01
01
11
10
01
01
11
10
01
00
11
11
00
00
11
10
00
00
10
10
10
10
10
00
00
01
00
11
10
10
00
10
10
10
01
00
10
10
10
00
00
11
11
01
00
01
10
00
10
10
11
01
00
10
00
10
10
10
00
00
11
11
00
10
10
00
10
00
00
10
10
00
00
11
10
01
11
00
00
00
01
11
01
10
00
00
01
00
01
00
11
11
00
11
01
00
10
11
00
11
10
10
10
01
00
10
01
01
00
11
10
10
10
10
11
00
00
00
10
00
11
11
00
00
10
00
10
00
00
11
11
01
10
11
10
10
01
10
00
11
00
00
10
10
01
11
01
10
10
00
11
10
01
01
10
10
10
10
11
10
10
11
11
00
00
10
01
10
10
10
00
00
11
10
00
01
10
01
00
00
10
01
01
00
01
11
00
00
10
10
00
01
10
00
00
10
11
01
00
00
00
10
11
10
00
01
00
11
00
00
11
00
00
10
11
11
10
00
00
11
10
11
01
01
11
11
10
00
00
10
11
10
00
00
10
00
10
01
10
10
11
10
01
00
10
11
11
00
01
10
00
10
00
00
11
11
00
11
11
10
01
00
11
11
11
00
00
00
11
10
00
00
10
11
00
10
11
10
00
11
00
11
00
10
10
01
00
01
00
10
00
00
01
11
01
01
11
11
11
00
00
01
11
00
10
11
10
11
11
01
00
11
11
10
10
10
01
10
01
01
10
11
10
00
10
11
00
11
10
01
01
00
10
10
10
00
00
10
10
11
01
01
01
11
01
10
10
10
00
11
00
00
10
10
00
10
00
01
11
01
01
00
10
10
00
01
11
11
01
11
10
11
00
01
00
11
10
00
00
01
11
11
11
00
00
00
10
10
11
00
01
00
00
11
00
00
10
11
10
10
11
00
01
00
11
10
00
10
01
01
10
01
10
11
11
10
00
00
10
10
11
10
10
00
00
00
10
00
10
11
00
00
01
00
00
00
11
10
10
00
00
00
00
00
00
10
11
10
10
10
00
00
01
00
01
11
11
01
00
11
11
10
00
00
10
11
00
11
00
10
11
00
01
01
10
10
00
10
00
01
00
00
11
01
00
01
10
10
11
10
01
00
00
11
00
00
10
00
10
01
11
00
10
11
11
10
00
10
00
01
00
11
10
01
00
10
10
00
00
00
01
10
10
00
10
11
11
01
00
10
01
10
00
10
10
00
01
01
11
10
00
10
00
10
10
00
01
10
10
00
00
00
01
10
11
10
00
01
00
01
11
01
00
10
10
01
00
10
00
10
10
10
00
10
11
00
00
01
10
01
11
00
10
00
00
11
10
00
10
10
10
00
10
01
10
10
00
00
00
01
10
10
11
10
10
10
10
00
11
10
00
00
10
00
10
01
10
00
00
00
10
11
00
00
10
10
10
10
01
01
01
10
00
11
00
01
11
00
00
01
10
01
00
10
11
01
11
11
11
00
01
10
00
01
00
10
11
10
10
10
00
01
10
00
10
10
10
10
10
00
00
11
10
00
10
00
00
11
10
00
10
10
10
00
11
00
11
10
00
10
10
11
01
10
10
00
00
11
10
10
00
11
00
10
11
01
00
11
00
00
10
10
10
10
00
00
11
10
10
11
11
00
01
11
10
10
00
11
10
01
01
01
00
11
00
01
11
10
00
00
00
10
10
01
10
10
00
10
01
10
10
01
01
00
11
10
10
00
00
01
00
00
11
10
00
10
11
10
11
10
00
00
00
00
01
00
00
10
01
10
01
11
11
10
10
11
10
00
10
11
00
01
10
01
11
11
11
10
01
10
00
11
11
00
01
00
11
00
01
11
10
10
01
10
11
10
00
11
10
00
00
01
10
00
00
00
11
10
01
10
00
00
10
10
00
10
01
11
00
11
00
01
10
10
10
10
01
00
01
10
00
11
00
10
00
00
11
00
00
01
10
10
10
11
01
00
10
10
01
10
11
11
01
10
10
01
01
00
11
10
10
00
10
00
10
00
01
10
10
10
01
11
01
00
11
00
01
01
10
01
00
10
10
00
00
10
00
00
01
10
00
00
00
01
00
10
10
11
01
00
10
10
00
11
11
10
01
00
11
00
10
10
01
11
11
00
11
00
01
00
00
10
10
11
10
11
01
10
10
11
00
01
00
00
11
10
00
10
10
00
11
11
00
10
11
11
00
00
10
10
00
11
00
01
00
00
11
00
01
10
11
01
10
00
01
10
00
00
10
01
00
11
10
11
01
10
00
10
10
00
11
10
10
01
10
00
01
01
10
11
10
10
11
10
01
01
00
10
00
00
10
10
00
00
00
10
10
10
01
11
10
00
01
10
01
00
00
10
10
00
00
00
10
11
00
11
11
00
00
10
11
00
10
10
10
01
00
10
00
00
01
10
11
01
00
01
10
10
10
00
10
11
00
01
00
11
00
10
10
01
00
11
10
01
10
10
10
00
00
10
00
01
11
10
10
10
00
01
00
01
01
10
00
10
10
11
00
00
11
00
10
00
10
10
00
00
00
01
10
01
10
01
11
10
10
10
11
01
10
10
11
10
10
10
10
11
00
01
00
10
11
10
01
00
11
11
00
00
00
10
10
00
00
00
00
00
10
10
01
01
10
11
00
10
11
10
11
00
00
10
10
00
00
11
10
00
00
11
01
01
00
00
10
11
00
00
01
10
00
00
10
00
10
10
10
00
10
10
10
00
00
01
11
00
11
11
10
10
11
10
00
00
10
00
01
10
11
10
10
10
10
00
10
00
01
10
10
10
00
10
11
10
00
00
11
00
00
00
00
01
00
00
10
00
00
11
10
11
10
00
01
10
11
10
00
01
00
00
10
00
01
00
10
10
00
10
01
11
10
00
01
10
00
11
10
00
10
00
00
00
10
10
11
00
00
10
01
00
00
10
10
00
10
00
00
01
10
10
00
00
11
01
01
10
00
00
11
11
00
00
11
11
00
00
01
10
10
10
00
00
10
10
10
10
10
10
11
00
01
00
10
00
11
10
01
00
10
10
01
11
11
00
00
10
01
10
00
01
10
10
11
00
10
11
11
10
10
00
11
10
11
00
01
01
00
00
11
10
01
01
11
10
10
00
00
00
10
00
00
00
10
10
11
01
11
11
11
00
10
00
11
00
01
10
10
00
11
11
01
01
00
01
10
11
11
00
00
11
10
01
01
11
01
01
10
10
00
10
01
00
11
01
11
10
00
11
00
11
10
00
00
10
10
10
11
00
10
00
10
10
10
01
11
11
01
00
11
11
00
10
10
00
00
00
10
10
10
00
00
00
00
10
00
10
10
01
10
01
10
00
00
10
11
00
00
01
10
11
10
11
00
11
01
11
10
00
00
00
01
10
00
01
00
11
00
10
11
11
00
01
00
10
00
10
11
11
01
01
10
11
10
11
01
01
11
11
00
11
10
00
10
10
00
00
00
10
11
11
00
01
10
00
10
00
00
10
10
10
00
01
10
11
01
01
10
10
11
00
10
11
00
00
00
10
11
01
11
00
10
10
00
01
10
10
10
01
00
10
00
00
00
00
01
10
10
00
00
00
01
01
10
11
11
10
00
11
00
00
10
10
01
00
10
11
00
00
00
01
00
10
10
10
01
10
10
01
10
10
10
10
10
10
01
00
10
10
00
01
10
01
00
11
00
01
11
00
01
10
00
10
00
00
10
10
01
10
11
10
11
10
01
00
10
10
00
00
01
00
00
10
10
11
11
00
11
11
00
11
01
00
10
00
00
10
10
00
00
10
11
00
10
10
01
10
01
10
11
01
01
10
00
11
01
11
11
01
00
11
10
00
00
10
11
00
10
11
00
00
11
00
10
11
11
00
11
00
00
10
00
11
10
10
11
01
11
10
01
00
01
10
00
01
00
10
10
11
00
11
01
11
11
01
11
10
00
10
00
00
11
01
00
11
00
11
00
11
10
00
01
10
00
00
00
11
11
00
00
01
11
11
00
01
11
10
00
00
00
10
11
00
00
00
10
11
00
00
11
11
00
01
11
00
10
00
00
10
00
00
10
11
11
01
01
00
10
11
10
00
01
10
10
00
10
00
01
10
10
01
11
10
00
00
00
01
01
11
10
01
10
10
11
00
01
11
00
10
10
01
00
01
10
00
00
00
10
10
10
01
00
10
00
10
00
10
11
00
00
00
00
00
11
00
00
00
11
10
01
11
00
11
00
10
10
10
00
01
00
01
01
00
11
00
10
10
00
00
11
11
00
00
10
00
00
00
01
10
10
00
11
10
00
10
11
11
00
00
00
11
01
11
10
00
01
00
11
10
00
01
10
10
11
01
00
10
00
11
00
11
01
00
00
10
11
00
10
00
00
11
00
00
10
11
11
01
01
10
00
00
10
11
00
00
11
10
01
01
10
00
11
10
00
01
00
10
10
00
00
10
10
01
00
00
00
10
00
00
10
10
11
01
00
10
10
10
00
10
10
01
00
11
00
01
11
10
10
10
00
00
11
10
00
10
11
10
00
11
01
10
11
01
11
10
11
11
10
11
10
00
00
11
11
00
10
00
11
10
00
00
01
01
10
10
00
10
11
00
10
10
10
10
00
10
00
00
10
11
10
11
11
10
00
00
10
10
01
00
01
10
00
00
01
00
11
10
00
10
11
10
10
01
01
11
11
11
01
10
10
01
11
00
11
11
00
00
10
10
11
00
01
10
01
00
01
00
10
01
10
01
01
10
01
11
11
01
01
10
10
01
00
00
11
10
00
11
10
00
00
00
10
10
10
00
11
11
10
10
10
10
00
01
10
01
00
01
01
10
10
01
00
11
10
10
10
10
10
01
10
10
00
01
01
01
10
01
10
11
10
10
01
10
11
00
10
11
11
10
00
01
10
00
00
00
01
00
00
10
00
10
11
10
10
01
00
01
10
11
00
00
10
10
00
00
01
10
11
01
00
00
01
11
10
00
00
11
10
00
00
10
00
10
10
00
00
10
00
00
01
10
10
00
00
01
00
11
10
10
10
10
11
10
01
00
01
10
00
00
10
11
00
00
11
00
00
00
00
11
10
11
00
10
11
00
01
10
10
00
00
11
10
11
00
10
00
01
10
10
00
10
01
10
00
01
00
10
10
10
11
10
01
01
10
10
00
00
00
11
10
11
00
01
01
10
00
10
00
00
01
10
00
00
01
11
00
00
10
00
10
10
10
00
01
01
10
10
00
00
01
10
11
00
01
00
10
10
01
01
11
11
00
00
10
00
00
11
10
11
10
01
10
00
01
10
10
00
00
10
10
01
00
10
10
10
10
01
11
10
11
00
10
00
00
00
10
00
11
01
10
00
00
11
00
10
10
00
11
01
00
00
00
01
10
11
00
10
10
10
00
01
00
11
11
01
00
01
00
11
10
01
10
10
11
00
10
00
00
11
10
11
00
11
10
00
01
10
11
00
00
10
00
00
00
01
10
11
00
11
10
01
01
00
01
10
10
01
00
00
10
11
01
00
00
10
00
11
11
10
10
01
10
00
10
00
00
00
10
00
01
11
01
11
01
10
10
11
00
00
11
11
00
10
01
00
11
01
00
10
10
00
10
00
00
10
01
10
00
11
10
00
10
10
00
00
10
01
10
10
10
10
01
01
10
10
01
00
10
10
01
01
01
00
10
00
10
01
00
00
00
10
00
11
10
10
10
00
00
10
00
00
11
01
01
11
00
11
10
01
11
10
01
00
10
11
11
00
10
00
00
00
10
01
01
11
10
00
00
00
00
10
10
01
10
01
10
00
10
11
00
00
00
10
01
00
10
10
11
10
11
10
11
11
10
01
00
10
10
11
01
00
11
01
00
00
00
00
11
00
10
01
01
00
11
01
01
01
10
00
00
11
10
10
00
01
11
01
00
10
11
11
01
11
10
01
11
00
00
01
10
10
10
00
10
00
01
11
10
01
10
10
10
11
01
10
01
10
10
00
00
01
00
10
00
10
10
00
10
10
00
00
11
00
01
01
10
10
11
00
00
01
00
10
01
00
11
00
11
01
00
10
10
11
01
00
10
00
00
10
10
00
00
10
10
10
10
10
00
10
10
10
00
00
10
10
00
11
10
01
00
10
00
10
11
00
11
11
00
10
10
00
00
10
10
00
10
00
10
10
11
10
00
10
00
00
01
10
11
00
11
11
11
01
11
00
01
01
00
10
11
00
00
00
11
00
00
10
10
10
00
11
00
00
00
00
10
10
00
10
00
11
00
00
11
00
01
11
11
10
10
11
11
11
01
01
10
00
00
10
01
11
10
00
10
10
00
00
10
10
11
00
11
11
00
01
10
00
10
10
00
10
11
10
10
00
10
00
10
00
01
11
00
10
00
11
10
11
11
01
00
10
01
00
10
11
00
00
11
11
00
10
10
00
01
10
10
00
00
10
10
11
00
10
00
00
10
00
11
10
11
10
10
11
00
00
00
00
10
00
00
10
00
10
00
11
10
00
10
01
11
10
00
10
10
10
01
01
10
10
01
11
00
01
10
01
11
10
00
10
11
01
10
10
01
00
10
11
01
00
10
00
01
00
01
11
10
01
10
10
10
00
00
00
11
10
11
01
00
00
10
00
01
00
10
11
11
00
00
10
00
00
10
10
11
00
00
11
00
00
00
10
10
10
01
11
10
10
11
01
10
01
10
11
01
10
10
00
11
10
00
01
00
10
10
00
10
11
00
00
10
11
00
00
00
10
00
11
00
00
01
10
00
00
10
10
00
00
10
10
11
01
01
11
00
11
00
01
00
00
10
11
00
10
00
00
00
11
00
00
10
11
00
11
01
10
11
00
01
01
00
11
00
10
10
10
00
10
11
00
00
10
10
01
10
00
00
10
10
11
10
00
10
10
10
01
11
00
11
10
00
00
01
10
10
10
00
10
10
10
01
00
11
10
10
00
01
11
01
11
10
00
00
01
00
00
10
10
01
00
11
00
10
10
00
10
00
01
11
00
01
00
00
00
10
11
01
01
11
10
01
00
10
10
00
01
10
01
10
00
10
00
11
10
01
11
10
01
00
00
10
01
00
00
10
10
10
10
01
10
00
10
10
00
01
10
00
00
00
10
00
11
11
11
01
01
00
01
00
10
10
00
00
11
10
00
10
10
00
10
10
01
10
10
10
10
00
00
00
11
10
10
10
11
01
01
01
00
10
10
00
10
10
10
00
10
10
10
10
00
01
00
00
10
00
10
00
11
00
10
00
00
10
01
10
10
11
10
01
01
10
10
01
10
01
11
10
01
01
01
10
10
01
00
01
11
10
00
10
10
01
00
10
11
01
00
01
10
10
01
10
11
00
01
10
01
00
01
00
10
00
00
11
10
10
00
00
00
10
00
10
11
11
11
00
01
10
01
00
11
11
00
11
00
00
10
00
00
10
00
00
10
10
10
01
01
01
11
11
10
00
00
10
10
11
01
01
10
11
10
01
10
10
00
01
01
10
10
00
11
11
00
11
10
00
11
10
00
10
01
01
01
01
10
01
10
01
01
11
10
00
00
11
00
00
01
00
00
00
00
10
01
10
10
10
10
00
10
00
01
11
10
01
00
00
10
10
00
01
00
10
11
11
00
00
00
01
10
00
00
00
00
00
00
00
10
11
00
10
00
10
00
10
10
01
01
11
00
00
00
01
10
01
01
10
00
00
11
11
11
00
00
01
11
01
01
10
10
00
10
10
01
00
00
01
01
10
10
10
01
00
00
00
10
10
00
10
00
01
00
00
00
10
10
10
00
10
10
10
10
10
10
01
10
10
10
00
10
00
10
10
10
00
10
11
10
11
00
01
00
11
00
00
10
11
10
01
11
10
01
00
00
11
10
00
00
11
11
00
01
00
10
01
10
10
00
10
11
00
01
11
11
11
00
11
01
10
01
10
10
00
10
11
00
01
00
11
11
01
00
11
00
00
10
01
11
11
10
00
01
10
01
00
11
10
10
01
10
00
00
10
11
00
10
00
10
10
00
11
10
00
10
00
11
10
11
11
00
00
10
10
00
11
10
00
11
10
00
11
10
11
00
00
10
00
11
10
00
01
00
11
00
00
11
01
11
00
01
10
10
10
00
01
11
00
01
01
01
10
00
00
10
01
01
10
10
10
01
10
01
10
00
11
11
11
00
11
00
10
00
11
11
00
01
11
00
01
00
00
00
00
11
11
11
10
00
10
01
11
10
01
01
10
10
00
01
10
11
00
01
00
10
01
10
10
00
01
11
10
10
00
10
00
01
10
01
00
11
10
11
00
00
10
10
00
10
10
11
01
01
00
00
10
00
01
10
01
00
11
10
00
11
10
10
00
00
11
10
11
11
00
01
00
01
10
00
00
10
10
00
00
10
00
00
00
00
00
01
10
00
00
10
11
00
10
11
10
10
01
10
10
00
01
00
10
10
00
10
00
10
00
00
10
11
00
00
11
10
10
00
10
00
00
10
10
10
11
00
00
10
01
00
10
10
01
10
11
11
00
10
11
10
10
11
01
01
01
00
10
00
10
11
10
01
00
10
01
00
01
11
10
00
00
10
00
01
11
10
00
10
10
11
00
10
00
00
10
11
10
01
00
11
10
01
00
10
10
11
10
11
11
00
00
10
00
01
00
00
00
00
11
10
11
10
11
00
01
00
01
10
11
11
10
01
00
01
10
00
10
00
10
00
00
11
00
10
10
10
00
11
00
00
01
10
10
10
11
10
00
11
00
10
00
00
11
10
11
11
10
10
00
01
01
11
00
00
10
11
01
00
01
10
10
10
10
00
10
11
10
00
10
11
10
11
01
10
00
00
00
10
00
00
11
01
01
11
11
01
00
00
11
00
01
10
11
01
00
11
00
00
10
10
01
10
10
01
11
01
01
11
11
01
11
10
00
10
11
00
00
10
11
01
00
10
11
10
00
00
11
11
10
10
11
01
00
10
00
01
00
01
11
11
01
11
11
00
11
10
01
00
10
10
11
10
01
10
10
00
10
00
00
10
10
01
11
10
01
01
10
10
00
10
11
10
00
00
10
10
10
11
01
10
01
10
10
11
10
11
00
10
11
01
11
10
00
00
10
01
10
00
00
00
00
11
10
10
00
11
10
11
00
00
10
11
10
01
00
00
10
01
00
10
00
00
01
11
11
01
00
00
01
00
11
10
00
10
00
00
11
01
10
10
01
00
00
10
00
00
10
10
10
00
10
00
01
10
11
00
10
10
10
00
01
10
11
10
11
00
10
01
10
11
10
11
01
00
10
01
00
00
10
11
11
01
01
10
10
11
11
01
11
10
10
10
00
11
00
00
11
10
01
01
00
01
10
11
10
10
10
10
10
01
00
11
10
00
00
10
00
10
01
00
00
00
00
10
01
10
00
10
10
11
10
10
00
01
01
10
00
00
00
10
10
01
10
00
10
10
01
11
01
01
10
01
11
10
00
11
11
00
00
00
00
10
00
10
10
11
01
00
10
10
10
10
00
00
11
01
10
01
01
10
10
10
00
10
10
10
11
00
11
10
10
01
00
00
00
11
01
01
11
10
10
10
10
00
01
11
10
01
00
00
00
10
10
00
00
10
00
00
10
01
00
10
00
01
01
01
10
01
01
10
10
10
01
00
10
00
00
11
11
00
00
01
01
00
01
01
10
00
11
11
00
10
00
01
10
11
00
10
01
00
10
01
10
00
11
01
10
10
10
00
10
00
00
11
01
00
10
00
10
00
10
10
01
00
10
00
11
00
00
00
11
10
11
10
00
11
10
00
00
10
11
10
01
00
00
01
10
00
10
00
00
10
10
00
01
11
01
01
00
00
10
00
00
11
10
00
01
10
10
00
10
11
00
01
01
10
10
10
11
11
10
10
10
00
10
00
00
01
01
00
00
10
01
01
10
10
00
10
10
11
10
00
01
00
01
01
01
10
00
10
10
00
00
10
00
11
11
00
00
10
10
00
10
11
10
10
01
00
00
11
10
10
01
10
00
10
01
10
00
10
10
00
10
00
11
10
11
11
10
10
00
10
00
10
01
11
10
10
10
01
10
01
11
00
11
10
10
00
00
11
10
10
10
00
10
01
00
01
01
00
00
00
00
10
10
01
10
00
10
11
11
10
00
00
00
01
10
11
01
00
00
10
10
01
00
11
10
01
10
01
10
11
00
10
10
00
00
10
00
01
11
00
00
10
11
00
10
01
11
00
00
11
00
10
11
11
11
11
00
00
10
10
01
10
10
00
00
01
10
01
00
00
10
11
11
01
11
10
10
00
10
10
10
00
00
10
10
00
10
00
11
10
10
10
10
00
11
10
10
01
00
11
00
01
01
01
10
10
00
00
10
10
01
11
11
01
00
00
00
10
11
00
00
10
11
00
00
00
10
10
10
10
01
00
10
10
00
10
10
10
00
11
11
10
10
00
00
00
10
01
01
00
11
10
11
00
01
10
11
11
00
00
11
10
00
00
10
11
00
10
01
00
11
01
11
10
00
00
10
01
00
10
10
00
11
10
00
00
00
00
00
10
00
10
01
10
10
00
10
01
01
00
10
00
01
10
01
00
11
00
00
00
00
00
10
01
00
00
10
10
11
01
10
00
00
11
01
10
00
11
10
10
10
00
10
11
00
01
10
00
11
10
01
10
00
01
00
10
00
10
10
00
00
11
11
11
00
10
10
10
10
01
00
10
00
00
10
10
10
01
00
10
10
01
11
00
10
00
01
00
11
00
00
00
10
00
01
00
10
10
00
11
11
00
10
01
00
10
01
01
01
10
11
10
00
10
00
00
11
00
10
00
00
00
00
10
10
11
10
11
01
01
00
00
10
01
01
11
00
10
00
01
01
11
01
00
10
11
01
10
11
00
00
01
11
00
00
10
10
11
00
10
11
01
00
11
00
00
00
00
10
11
11
00
10
01
00
01
11
10
00
00
10
10
11
01
10
01
00
11
01
01
10
00
00
10
10
10
00
00
01
10
00
00
01
10
10
01
00
00
10
00
00
00
11
10
11
00
10
10
00
00
00
10
11
00
00
10
11
00
10
00
00
01
10
10
00
10
00
10
10
11
10
01
00
00
00
10
00
01
00
10
01
00
10
10
11
00
11
10
01
00
10
11
01
00
10
00
11
11
00
10
01
11
00
00
10
00
10
10
00
10
10
00
10
11
00
00
01
10
10
11
00
00
10
10
11
00
00
11
01
00
01
10
01
10
00
01
10
10
10
00
11
11
11
00
11
10
00
10
11
01
00
10
11
10
11
00
00
10
10
00
10
00
10
01
00
01
00
10
00
00
01
01
01
11
10
11
00
00
11
10
00
11
00
00
10
00
00
00
11
01
00
10
01
10
10
11
00
00
00
10
00
01
10
01
00
10
10
10
10
11
00
11
00
00
10
00
11
10
01
00
10
10
10
00
10
01
00
11
00
01
01
11
00
01
00
10
10
10
00
11
00
01
10
11
01
10
10
10
11
00
00
11
00
01
00
00
00
10
10
11
11
00
11
10
00
10
00
10
10
10
00
10
10
11
01
00
10
11
01
01
00
10
01
11
10
10
00
11
01
00
10
10
11
01
00
00
01
10
00
11
10
00
01
00
00
10
00
10
00
01
10
00
10
10
00
01
00
11
00
10
00
01
11
11
00
00
01
10
01
00
11
11
10
11
00
00
01
01
00
10
10
01
00
10
10
10
10
10
11
00
00
00
00
01
11
00
00
11
01
10
00
01
10
00
01
10
10
00
00
00
11
11
11
10
10
00
10
00
11
10
11
00
01
11
00
10
01
00
10
10
00
00
10
10
11
00
10
10
01
10
10
00
11
10
01
10
11
10
00
00
10
11
00
00
00
01
01
10
01
01
00
11
00
01
00
11
10
11
10
10
01
10
00
00
11
11
01
00
00
01
11
00
10
10
00
01
00
11
10
11
10
11
01
00
00
11
10
00
10
10
01
01
01
01
00
10
01
01
10
10
00
00
11
10
11
00
01
10
10
01
00
00
10
10
10
01
11
10
10
01
00
00
01
11
00
00
01
00
11
10
00
10
00
10
01
10
10
10
00
10
01
01
11
00
01
11
10
01
10
10
00
01
00
00
11
11
00
00
11
00
11
01
00
10
10
10
11
00
11
11
01
00
10
00
10
10
00
01
01
10
10
10
10
10
00
00
11
10
11
00
10
01
11
10
10
01
00
10
10
00
11
00
01
00
00
11
11
11
01
10
11
11
00
11
10
01
01
10
10
10
10
00
10
10
00
01
10
00
10
00
01
10
10
11
10
10
00
11
00
10
11
01
10
10
00
00
00
00
11
10
01
01
10
11
11
10
01
11
11
10
00
01
10
00
10
00
00
10
10
10
00
11
00
11
00
10
10
11
10
00
10
10
10
00
10
00
01
11
01
10
10
01
01
10
01
00
01
10
11
10
11
00
00
00
10
10
00
10
10
10
10
10
10
11
11
01
10
00
00
00
01
10
10
00
10
11
11
10
00
10
10
10
10
00
00
00
10
01
11
00
00
10
00
00
01
10
10
11
00
00
10
10
01
01
00
00
01
01
11
10
10
10
01
00
01
10
00
01
10
11
00
01
10
10
10
00
00
00
11
11
10
10
10
00
10
10
01
00
01
00
00
00
10
00
10
10
00
00
10
10
01
10
00
10
00
00
01
00
11
01
00
11
00
00
10
00
00
00
00
01
11
01
10
01
10
01
00
10
10
01
10
11
00
00
00
01
10
00
00
10
11
00
11
00
00
01
11
11
00
01
00
00
10
10
11
00
01
10
10
10
01
00
10
11
00
10
00
00
11
11
00
01
00
00
10
00
10
10
00
10
01
00
11
10
00
11
10
11
00
10
00
01
11
10
10
01
10
10
00
00
01
00
01
00
10
10
10
11
00
11
11
00
10
10
01
10
00
01
10
10
00
00
10
10
11
11
00
00
00
10
11
10
10
00
10
00
00
00
10
10
10
00
00
00
01
10
00
11
00
00
10
00
00
00
00
10
00
00
10
00
10
01
01
10
10
10
10
10
00
00
10
10
11
11
11
00
00
11
10
10
10
10
00
11
10
00
00
10
10
11
11
11
01
10
00
10
00
01
10
11
01
10
00
01
01
11
00
01
01
00
01
10
11
01
11
01
01
10
00
11
11
01
11
10
00
01
00
10
00
01
10
00
00
00
01
10
10
10
11
10
10
00
00
10
00
00
10
00
01
00
01
01
10
10
11
11
11
10
00
11
10
00
00
01
10
00
10
10
00
11
01
00
00
01
01
00
11
10
00
11
00
00
00
00
10
00
00
11
11
10
10
10
10
00
01
10
01
11
00
11
00
11
00
01
10
10
10
00
01
10
10
00
01
10
00
00
10
11
01
10
00
01
00
01
10
00
00
10
00
10
00
10
10
10
01
00
10
01
10
00
10
11
00
00
10
01
11
10
10
00
00
00
10
10
01
00
10
01
01
00
00
10
01
00
11
00
01
11
00
01
10
11
11
10
01
00
10
10
11
01
00
11
10
00
00
00
01
01
10
10
01
10
10
10
01
11
01
00
01
01
10
00
00
00
10
00
11
10
10
00
00
10
01
00
11
10
10
10
00
01
01
10
10
10
00
00
01
00
10
00
00
11
00
10
00
11
10
00
00
01
01
00
10
10
00
10
00
00
11
00
10
10
10
10
11
10
10
00
10
00
10
11
00
00
00
01
00
11
01
01
01
10
00
10
00
00
11
10
10
00
00
00
01
00
11
10
10
10
10
10
00
00
11
01
10
11
10
00
11
10
10
00
01
10
00
10
01
10
01
10
10
01
11
10
01
01
00
00
11
10
10
10
00
01
01
10
11
00
00
11
01
01
00
10
10
11
10
01
01
10
10
00
10
11
00
00
10
10
10
00
10
00
10
00
10
10
11
10
00
10
00
10
01
01
10
00
11
00
10
10
00
00
10
10
01
10
10
00
00
10
11
10
11
00
10
10
00
11
11
00
01
10
11
01
10
01
10
01
00
00
10
11
00
01
10
10
00
01
01
00
10
00
10
10
00
00
10
11
00
01
00
00
11
10
01
10
10
10
10
11
10
11
00
10
10
00
10
00
01
10
10
01
10
11
10
10
01
00
10
00
00
10
00
00
00
10
00
10
10
10
00
10
00
00
00
11
00
10
10
11
00
00
10
00
00
01
01
11
01
10
10
01
00
11
10
01
10
00
10
00
01
00
10
11
00
00
00
10
00
00
11
10
01
10
10
00
00
00
00
11
00
00
10
00
10
10
01
10
10
10
10
10
10
00
10
00
10
00
00
00
10
10
10
10
00
01
01
01
00
11
01
11
00
11
11
01
01
10
10
01
00
11
11
01
01
10
10
00
00
10
00
01
10
11
00
11
11
01
10
11
10
11
01
00
00
10
11
00
01
10
11
00
10
10
10
01
00
11
00
10
10
00
00
10
10
01
00
00
10
10
00
01
11
00
10
11
10
00
01
00
01
00
10
10
00
00
01
10
10
10
00
10
11
11
00
01
10
00
10
00
10
10
01
00
10
01
10
00
00
00
00
11
01
10
10
01
11
10
11
00
01
10
00
11
01
10
01
00
11
11
11
10
00
11
11
00
00
11
10
00
01
10
11
00
01
01
00
00
01
10
11
11
10
01
11
00
00
10
11
00
10
01
10
11
00
10
00
11
10
11
10
00
00
10
01
10
10
00
01
10
00
10
00
11
01
00
11
10
10
11
10
00
10
10
00
01
00
00
00
11
10
10
00
01
11
11
00
10
10
10
00
10
00
01
10
11
11
10
11
11
01
00
00
10
00
10
11
11
01
11
10
10
11
01
00
10
10
00
00
10
10
11
00
01
00
01
10
00
00
00
00
10
10
00
01
11
01
00
00
10
10
11
00
10
01
10
11
00
11
01
10
11
00
11
00
00
11
11
00
00
00
10
01
01
01
10
10
00
11
11
01
10
01
00
00
00
10
01
00
11
10
00
00
00
10
00
01
11
00
00
10
10
10
11
10
01
01
10
01
01
11
10
00
00
00
00
00
01
10
10
11
10
01
00
11
10
00
00
10
00
10
10
00
00
00
00
00
10
11
00
00
11
00
01
10
01
00
00
11
10
10
11
00
01
10
10
00
10
10
10
10
01
00
11
10
00
00
11
00
01
00
11
00
10
11
00
01
10
10
11
10
10
00
01
11
00
00
10
10
00
10
01
01
01
10
10
00
10
10
00
10
01
01
01
01
01
00
10
00
11
11
10
01
01
00
01
10
01
11
10
10
10
00
00
10
11
01
00
11
10
00
01
00
01
01
00
10
00
10
11
00
00
10
00
00
11
11
00
01
10
01
00
00
00
10
10
01
00
10
01
01
10
10
10
11
00
00
00
10
01
00
00
10
11
00
10
01
00
10
11
01
10
10
10
11
10
10
00
10
00
00
00
10
01
00
11
11
10
10
01
00
10
01
01
10
10
10
00
00
00
01
01
01
11
00
11
00
11
10
10
10
00
01
11
10
01
00
00
10
10
01
01
00
11
10
00
01
10
11
10
10
00
00
11
00
10
10
11
00
11
11
10
00
00
11
10
00
01
01
00
00
11
10
10
00
11
11
00
01
10
00
10
01
10
10
00
00
10
01
00
01
01
10
00
10
10
00
00
11
11
01
11
11
11
10
01
01
10
00
00
10
11
00
10
01
01
00
10
00
10
10
01
11
00
01
10
01
10
10
01
01
10
00
00
10
01
11
00
00
00
01
11
10
01
00
00
11
10
10
00
01
11
10
00
01
00
11
10
11
00
01
10
10
00
00
00
10
11
10
10
00
00
01
10
00
00
11
11
01
10
01
00
10
00
00
10
10
01
00
10
00
01
10
01
01
00
11
00
00
10
00
01
10
01
01
10
00
10
01
11
01
00
10
00
00
10
10
00
00
01
00
01
01
00
11
10
01
10
00
00
10
01
11
01
10
10
00
10
11
10
11
10
00
10
10
00
11
11
01
01
00
00
00
10
00
00
10
11
00
10
10
10
00
11
10
00
00
00
10
00
00
11
10
00
10
10
00
11
00
11
00
11
11
10
00
00
00
10
00
00
00
00
11
10
11
00
00
00
01
10
10
10
01
10
11
00
00
11
11
10
10
01
01
00
00
10
00
10
10
00
11
10
00
00
10
10
10
10
01
00
10
10
01
10
00
01
10
10
01
00
10
00
00
00
01
00
01
10
11
00
10
01
00
10
11
10
10
10
00
00
00
11
10
11
11
00
00
01
00
10
10
00
00
11
00
11
11
00
10
00
10
01
10
10
11
00
00
11
00
10
10
10
00
10
10
00
00
10
10
00
11
10
10
00
10
11
01
10
10
11
00
00
01
00
11
01
00
10
10
11
00
01
11
11
01
00
01
00
11
00
00
10
01
11
10
00
00
00
10
10
10
10
00
01
01
10
01
11
00
11
00
01
10
10
00
11
11
10
00
00
10
10
10
01
01
00
10
00
10
00
10
10
11
01
00
11
11
01
00
01
01
10
00
00
11
10
10
10
00
00
01
00
10
11
10
10
11
00
00
10
11
00
10
00
00
10
10
10
10
10
01
10
00
11
11
00
10
01
01
00
11
10
01
00
10
00
00
10
10
11
00
10
11
10
10
10
00
00
01
10
01
10
10
01
10
11
00
11
10
11
10
01
01
10
11
00
11
11
00
00
00
10
10
11
00
00
10
10
11
10
00
01
10
10
01
00
10
11
00
01
00
10
00
00
10
10
00
01
11
00
00
00
10
10
01
00
10
11
00
00
11
00
00
10
10
00
01
10
10
00
00
11
11
10
00
10
01
01
11
11
00
00
00
01
10
00
10
10
10
00
01
01
00
01
11
10
10
10
10
00
00
00
11
10
01
11
10
01
00
00
00
01
10
10
00
01
10
01
00
11
10
01
10
10
10
00
00
11
00
01
10
11
10
10
00
10
10
00
00
10
11
00
00
00
10
00
10
00
00
10
10
00
01
00
00
10
01
01
00
11
10
01
00
00
00
10
10
00
00
11
10
01
00
01
00
11
01
00
10
00
10
00
00
10
10
11
10
10
01
10
11
10
10
11
00
00
11
00
11
00
01
01
10
00
00
00
10
00
00
00
10
11
11
10
00
01
01
11
00
00
11
00
00
11
10
01
10
10
00
11
00
10
10
00
11
10
01
00
10
10
00
01
10
01
00
01
01
11
10
01
00
10
00
01
01
11
00
10
10
01
00
01
10
10
10
11
10
01
10
10
00
00
00
00
01
10
01
00
00
01
00
10
10
00
01
10
00
10
11
00
10
10
00
00
11
11
01
01
10
10
10
01
00
10
11
00
01
10
01
10
00
00
00
10
11
01
00
10
00
01
10
11
01
11
01
00
00
10
00
01
10
10
00
10
01
01
00
01
11
00
11
11
11
00
01
11
00
10
11
00
01
10
01
10
10
01
10
10
10
00
01
01
11
11
10
00
11
00
11
10
10
01
10
01
01
10
00
10
10
00
01
10
01
10
01
10
00
10
00
00
11
11
01
00
10
00
10
00
01
10
11
11
01
10
00
11
00
11
01
00
11
10
01
01
10
11
00
00
00
11
10
11
00
00
10
10
01
10
10
00
10
00
10
11
10
10
00
10
11
00
00
00
01
11
10
11
01
01
00
00
10
10
00
01
11
10
00
01
00
10
11
11
00
10
11
01
10
00
01
10
00
00
10
01
11
00
10
10
11
11
11
00
10
01
11
01
00
10
00
00
10
11
00
10
10
10
00
10
11
11
00
11
10
01
10
00
10
11
00
10
01
10
00
00
10
11
11
10
01
00
10
00
01
10
10
00
00
00
11
10
10
11
00
10
00
00
10
10
00
00
10
10
00
10
10
10
01
00
01
00
00
10
10
10
11
00
00
01
01
00
10
10
00
01
11
10
10
10
10
10
01
01
10
11
00
00
00
00
00
00
01
10
01
10
11
01
00
11
10
01
01
00
00
10
10
01
10
01
00
01
10
11
10
01
00
11
00
10
10
01
10
11
00
10
00
11
00
11
10
01
00
10
10
10
10
01
11
00
01
10
10
00
11
11
11
10
00
10
00
00
11
00
01
11
11
10
00
10
11
11
01
00
10
00
10
10
01
10
00
00
11
10
10
10
00
00
01
10
11
10
10
10
00
10
10
00
00
10
10
01
01
11
10
10
00
00
00
10
01
10
11
10
01
10
00
10
00
10
10
00
00
00
11
01
11
11
01
10
11
01
11
11
00
10
11
00
11
10
01
00
11
10
00
01
10
01
10
01
00
10
11
11
01
00
01
11
00
10
11
10
00
11
01
01
10
01
10
01
00
11
00
00
00
10
10
10
10
01
00
11
10
01
00
01
10
00
10
10
00
00
00
11
10
10
00
00
10
00
01
11
11
10
00
11
10
00
11
10
11
00
01
01
10
01
11
00
00
10
00
01
10
10
00
11
11
10
10
10
00
00
10
00
10
01
10
00
10
11
00
10
10
01
11
11
00
00
01
01
10
00
11
00
01
10
01
11
10
10
10
00
10
00
00
00
11
11
10
00
10
10
10
00
01
10
10
00
10
11
10
01
00
01
00
01
00
10
11
01
11
11
10
00
10
10
11
00
01
10
10
00
10
00
00
10
11
11
00
00
10
00
00
11
01
11
10
01
10
01
10
10
10
10
00
00
01
10
00
10
11
00
10
00
11
10
01
00
00
11
10
00
10
00
10
11
01
10
10
11
00
11
01
01
11
10
01
00
11
10
01
00
11
00
00
00
10
11
00
00
10
10
10
00
11
11
00
10
00
00
10
10
01
10
10
00
00
00
01
00
00
01
10
01
00
11
11
10
01
10
10
00
01
11
00
01
11
10
11
11
00
11
10
01
00
00
10
00
00
11
00
10
00
10
00
11
10
00
00
01
00
00
00
10
10
11
11
10
10
00
00
00
00
01
00
00
10
01
00
01
10
10
11
00
10
10
01
01
00
01
10
10
10
01
00
11
10
01
10
10
10
10
01
01
10
10
10
10
11
00
00
00
10
01
10
01
00
11
00
00
01
10
10
10
01
01
00
11
00
01
01
00
10
10
10
10
11
00
00
10
10
00
10
10
00
10
11
01
11
11
11
01
10
10
00
00
10
10
00
10
00
00
00
10
10
00
00
01
10
11
10
00
01
01
10
10
10
00
10
11
00
11
10
10
10
00
10
00
11
11
00
11
00
00
10
00
01
11
11
01
00
11
10
01
00
10
10
10
11
00
00
01
11
00
01
10
10
10
00
11
00
00
10
01
01
00
00
10
11
10
10
01
00
10
01
11
01
10
00
00
01
10
00
11
00
00
00
11
11
00
00
10
10
10
00
00
00
00
10
10
10
00
00
01
10
01
10
10
10
10
00
00
00
10
11
00
10
10
00
11
10
01
00
10
10
10
00
10
10
10
00
11
00
00
00
00
00
00
10
10
00
10
10
11
11
11
01
00
00
10
10
10
01
10
01
00
10
11
01
10
10
10
00
10
10
10
11
10
10
11
01
00
11
00
01
10
00
10
10
11
11
00
01
10
10
11
10
01
11
11
00
10
01
10
10
01
00
10
10
00
11
10
01
00
01
10
00
00
11
00
10
00
00
00
01
11
00
10
01
01
00
10
10
00
10
00
01
10
00
11
10
10
11
11
11
11
00
00
10
00
00
10
10
00
10
10
10
00
10
11
01
00
10
00
01
01
10
10
01
00
00
01
10
00
10
00
01
00
11
11
00
10
00
10
10
01
11
01
00
10
00
10
11
00
10
11
01
00
00
00
10
10
00
10
11
01
01
01
00
00
11
10
10
00
00
11
11
10
01
10
10
00
11
00
10
00
00
10
10
01
11
00
00
10
01
00
10
01
01
01
00
00
00
01
00
10
10
10
01
00
00
10
10
10
10
00
00
10
10
11
10
01
01
00
10
00
01
11
11
10
00
11
11
10
01
00
10
00
01
10
10
10
00
10
00
10
10
11
01
01
11
01
00
00
10
10
00
00
10
01
10
10
00
01
10
10
00
00
10
00
10
10
00
00
10
00
11
10
10
00
01
10
11
10
00
10
00
00
10
01
00
01
10
01
11
10
01
10
01
10
01
00
11
10
11
10
00
00
11
00
00
01
11
10
01
11
01
10
00
10
01
01
11
11
00
00
00
00
11
00
01
10
10
00
01
00
11
10
01
01
00
11
00
00
11
00
01
11
00
00
00
10
00
01
10
00
01
00
00
10
00
00
00
10
11
10
11
00
01
01
10
01
10
10
00
01
11
11
10
00
00
00
10
01
11
10
01
01
00
10
10
11
00
01
11
01
10
00
11
00
00
00
10
01
10
00
00
10
01
10
10
11
10
01
00
11
01
11
01
10
10
00
10
00
01
10
10
00
01
11
11
00
11
10
01
00
00
10
00
10
11
00
01
00
11
00
11
10
11
10
00
11
11
11
10
01
00
11
11
01
01
11
11
10
11
10
10
00
00
10
00
01
10
01
10
10
10
10
10
00
10
10
10
00
00
01
10
00
01
10
11
10
00
01
10
11
00
11
01
00
10
10
00
00
01
00
10
10
10
11
00
01
00
01
11
10
10
00
10
10
10
00
00
01
10
10
11
00
10
00
00
10
11
11
11
11
01
11
10
11
01
00
10
01
00
01
00
10
10
00
01
10
10
00
00
11
10
10
01
10
10
10
00
00
10
00
00
10
11
00
00
01
10
10
01
10
10
00
10
00
00
10
01
00
01
00
11
00
10
11
01
10
10
01
10
10
00
01
10
00
10
01
10
00
01
11
01
11
11
00
10
10
00
10
10
00
01
10
10
01
00
11
10
00
00
10
10
00
10
11
00
10
10
11
11
10
10
00
01
10
00
01
01
10
01
01
00
00
10
10
01
11
10
10
00
00
00
00
00
10
10
11
00
00
11
10
01
10
01
01
00
10
01
00
10
10
10
11
10
00
01
00
01
01
11
00
10
00
01
11
11
11
10
00
11
01
01
10
01
11
10
11
10
01
00
11
10
01
00
00
11
10
00
01
10
10
01
11
10
10
11
00
10
10
00
10
11
10
11
01
01
00
00
11
11
10
00
10
11
00
00
00
00
10
00
10
00
11
10
10
10
10
00
00
10
10
01
10
00
01
00
10
01
10
01
01
10
11
00
00
10
10
11
00
01
00
00
11
11
11
01
01
10
10
10
01
01
10
10
01
00
11
10
10
10
10
00
10
00
00
00
10
11
10
00
10
10
10
01
10
00
01
10
01
10
00
01
01
00
11
10
01
00
11
00
10
01
10
00
01
10
10
10
00
00
11
10
01
00
10
10
11
00
00
10
10
11
00
01
00
00
00
10
10
11
11
01
00
00
00
01
10
00
10
00
00
00
10
10
11
00
00
01
11
00
11
00
11
11
11
10
10
10
01
00
00
01
10
00
11
10
01
11
11
01
11
00
10
00
00
11
10
00
00
10
10
10
10
00
11
11
00
10
01
00
00
10
10
00
01
10
10
00
00
11
00
00
01
01
11
01
00
10
01
10
10
00
01
00
10
00
00
11
00
10
10
01
10
00
00
11
10
10
10
01
10
11
01
10
11
10
00
10
10
00
01
11
10
00
10
10
01
00
10
11
01
11
10
11
00
01
10
00
01
00
00
10
10
01
00
10
00
00
11
11
00
10
11
10
00
00
00
00
10
11
00
11
00
00
00
01
00
10
10
00
00
00
10
10
01
00
10
01
10
00
00
11
00
00
10
00
11
10
00
00
11
10
10
10
10
10
11
00
00
11
10
10
10
10
01
11
00
10
01
00
10
10
10
01
00
00
10
10
00
00
11
00
10
10
11
10
10
01
00
11
10
01
11
00
00
10
00
00
00
10
00
10
00
10
00
11
11
01
10
00
00
10
01
00
10
10
11
01
10
00
00
10
10
01
11
10
00
10
10
10
10
00
10
10
10
00
10
00
10
10
01
00
11
01
00
10
01
01
11
01
00
10
10
10
00
00
11
10
00
10
10
00
11
00
00
00
10
01
00
10
10
11
10
10
10
10
10
01
01
01
01
00
10
11
10
00
10
10
00
11
11
10
00
01
11
10
11
10
10
00
10
00
01
10
01
11
00
00
10
10
10
01
00
10
01
00
11
11
11
10
01
00
00
10
10
00
10
00
00
10
10
11
11
10
10
11
01
01
11
10
10
00
01
01
10
10
00
01
00
11
11
11
01
01
10
10
00
00
00
10
11
00
11
10
00
10
11
10
00
10
10
01
01
11
00
00
11
11
00
10
11
10
01
10
11
00
01
01
00
10
10
01
10
11
00
11
10
00
01
00
00
10
10
00
01
10
10
00
00
00
11
10
00
10
01
10
10
10
01
00
00
10
10
11
00
00
11
10
00
00
10
00
10
10
10
00
01
11
11
10
10
11
11
01
10
10
10
01
01
10
00
01
11
10
10
11
01
10
11
00
10
10
11
11
00
00
01
10
00
00
11
00
00
10
10
00
10
10
00
00
10
11
11
01
10
10
11
11
00
11
10
00
00
01
00
10
10
00
01
01
11
00
01
10
11
11
10
01
00
00
11
11
01
00
10
10
01
10
00
10
10
01
00
10
00
11
00
00
01
11
11
11
10
01
01
10
10
00
00
10
01
10
01
01
11
10
00
00
00
00
11
11
00
00
00
10
11
00
00
00
00
10
10
11
10
11
00
10
10
10
00
00
00
10
10
11
00
00
11
11
01
11
10
00
01
11
11
11
01
01
00
01
00
00
10
10
01
00
10
11
10
10
00
10
10
11
10
00
00
10
00
01
00
11
00
10
10
11
10
00
01
10
00
00
01
00
01
10
10
11
00
10
00
00
11
00
10
10
00
00
10
00
01
11
10
01
11
11
11
10
00
00
10
10
11
00
00
00
10
10
10
00
11
01
11
01
00
00
00
00
01
10
11
01
01
10
00
10
11
11
11
00
01
11
01
11
00
00
11
10
01
10
10
00
00
10
00
11
10
10
00
00
00
00
10
10
01
01
11
00
11
11
00
01
00
11
10
11
00
00
00
10
11
11
01
00
10
01
01
00
00
10
10
10
00
01
00
11
00
10
10
10
00
10
10
00
11
10
11
11
10
01
00
00
00
11
10
01
11
10
01
00
00
10
00
00
10
10
10
11
00
01
00
00
11
11
00
10
10
00
10
11
00
10
00
00
10
10
11
00
00
01
01
00
11
11
01
00
10
01
10
10
00
11
00
00
11
11
00
01
11
11
10
11
00
01
10
10
10
00
11
10
00
00
00
01
00
01
10
00
10
10
11
10
01
00
10
10
00
00
00
00
10
10
00
10
01
00
10
01
10
10
01
10
01
01
10
01
00
01
11
01
00
01
11
10
10
11
00
01
10
00
00
10
11
11
10
01
00
10
10
11
00
10
00
01
00
00
00
10
11
00
00
00
11
11
01
01
10
10
00
10
10
10
01
01
11
10
01
00
00
11
00
11
11
11
01
00
11
00
10
10
01
00
10
11
01
11
10
00
10
00
11
00
00
10
00
10
11
10
00
10
10
10
10
10
10
11
10
10
01
10
00
10
00
10
11
10
00
10
00
00
10
11
10
00
01
11
11
00
01
00
10
10
01
10
10
00
00
10
10
01
10
10
01
00
00
11
00
01
11
10
00
10
11
11
00
01
11
11
00
01
01
10
11
11
00
01
01
10
11
00
00
11
10
10
00
00
11
01
00
01
10
10
01
00
10
10
00
00
10
11
00
00
10
00
00
11
10
00
11
10
11
11
10
01
00
01
00
01
10
00
01
11
00
11
00
00
11
00
01
00
10
10
11
00
01
11
10
00
01
01
10
00
01
00
10
00
00
10
10
10
10
11
11
11
10
10
10
00
00
01
10
10
10
00
11
10
00
00
10
10
00
01
00
00
10
10
00
01
10
00
00
01
10
11
00
10
11
01
01
10
11
00
11
01
10
00
10
10
10
00
00
10
00
01
00
01
10
00
11
00
00
00
00
10
01
10
10
01
11
10
01
10
00
00
10
11
01
00
11
11
11
11
10
10
00
10
11
00
00
00
11
10
00
10
00
10
01
00
01
00
11
10
11
10
00
00
10
11
01
11
10
10
00
01
01
10
10
00
00
00
00
10
00
00
00
11
10
10
00
10
00
01
01
00
01
00
11
10
10
00
00
00
10
01
00
10
11
11
01
10
10
01
01
11
00
00
00
00
00
10
11
00
10
11
10
10
11
00
11
01
11
10
10
00
01
01
00
00
10
11
00
00
11
11
01
10
10
00
10
11
10
00
00
01
00
10
10
10
10
01
10
00
00
11
00
00
11
11
00
00
00
00
10
00
11
11
00
10
00
10
00
00
11
00
10
11
10
10
10
00
01
11
01
00
00
10
00
10
00
00
10
00
10
11
11
00
11
10
11
00
00
01
10
11
00
10
10
00
00
11
00
01
00
11
10
00
00
11
11
00
01
10
11
10
11
10
00
11
11
11
00
10
10
10
01
00
00
11
01
01
01
10
11
10
11
10
01
00
10
10
11
01
00
10
00
10
10
10
00
10
00
10
00
00
10
00
10
00
00
10
10
00
01
01
00
00
11
11
01
00
10
00
10
10
00
10
11
10
00
11
01
00
10
11
00
10
10
01
10
10
01
10
11
00
00
10
00
10
11
10
01
00
11
01
00
10
01
10
10
00
01
10
00
11
10
10
00
10
10
10
10
01
00
00
10
11
11
11
00
00
01
01
00
10
10
10
01
11
10
00
11
00
00
00
10
01
10
10
00
00
01
10
10
00
10
00
11
00
10
11
00
10
10
10
00
00
11
10
01
01
10
01
10
01
01
10
11
01
00
01
10
10
10
01
00
11
00
00
11
10
00
01
10
10
01
11
10
00
10
00
00
11
10
01
11
11
00
00
00
00
00
00
00
00
01
11
11
00
10
11
01
00
00
10
10
10
11
00
01
10
00
11
10
11
01
11
10
00
00
10
00
00
11
10
11
00
00
00
10
11
00
00
10
00
01
10
11
10
00
00
10
00
00
01
10
00
00
10
11
00
00
11
10
00
11
10
01
00
10
10
10
00
00
11
10
10
01
10
10
00
10
00
00
11
00
00
10
10
00
00
01
11
00
01
00
10
11
10
11
01
01
10
10
00
00
00
01
10
10
10
00
00
10
00
11
10
11
00
01
00
11
01
10
00
01
10
10
00
01
00
00
11
10
10
10
10
01
10
00
00
11
00
00
00
11
10
10
00
01
10
10
10
10
00
00
11
00
01
10
00
10
10
10
00
00
10
10
10
10
11
00
00
11
00
00
00
10
11
00
00
10
10
00
10
00
00
10
10
10
10
00
00
10
11
10
01
11
10
01
11
10
10
10
00
10
10
00
00
01
10
11
00
01
10
11
10
00
01
00
11
10
00
00
10
00
00
10
10
10
11
10
01
01
10
01
01
11
11
00
00
00
00
10
00
00
10
00
00
11
10
10
10
00
10
10
10
10
01
00
01
11
10
10
00
10
11
01
01
00
10
10
10
10
10
00
00
10
10
10
11
11
00
01
10
00
10
00
01
10
10
00
00
10
11
00
11
10
11
00
01
10
00
10
10
00
10
00
10
00
00
10
11
10
01
11
10
01
01
10
00
00
00
10
01
00
11
11
00
00
01
10
01
01
11
01
00
00
11
00
01
01
10
11
00
01
11
01
01
11
01
10
01
01
10
10
01
00
11
10
10
00
00
00
01
10
00
10
10
10
11
00
10
11
00
00
10
00
11
11
00
01
00
10
01
00
11
10
00
01
00
10
01
00
10
10
01
10
11
10
00
10
10
01
01
01
11
00
10
10
11
10
10
00
01
00
10
10
00
10
00
00
10
10
10
10
10
10
01
10
01
00
10
00
10
00
10
10
00
10
10
00
00
10
10
11
01
10
01
11
00
00
11
01
11
01
01
00
00
00
10
10
00
01
10
00
00
00
00
01
10
10
11
00
00
10
01
10
00
01
11
00
10
10
10
00
00
11
00
00
00
00
10
00
00
11
11
10
10
11
11
11
10
00
11
01
01
00
11
00
11
10
00
11
00
00
00
00
01
10
11
11
11
10
11
01
00
00
10
10
10
01
10
00
00
00
01
10
10
00
10
01
01
10
00
10
11
11
10
10
00
00
01
01
10
00
10
01
00
00
11
10
10
10
00
00
11
01
00
10
10
10
10
00
10
00
10
10
01
11
00
10
00
10
00
10
11
01
00
10
01
10
11
11
00
01
00
00
11
00
11
10
01
00
01
00
10
11
01
10
10
01
00
10
11
10
00
11
01
10
01
10
01
11
10
00
10
01
00
10
11
10
11
10
00
00
00
11
11
00
01
01
10
10
00
10
11
00
01
00
11
00
10
00
00
10
10
10
00
10
10
10
01
00
11
00
00
01
10
00
10
01
01
10
00
10
10
01
10
00
11
10
00
10
00
00
01
11
10
11
10
10
10
11
00
10
00
00
00
10
10
10
00
00
00
00
10
01
10
10
10
00
01
10
01
00
01
01
10
01
10
00
01
10
01
10
00
00
00
00
11
00
01
10
01
00
00
01
10
00
00
10
10
10
01
01
10
10
00
10
00
11
10
00
10
01
00
00
11
10
11
00
00
11
00
01
10
01
10
10
10
01
00
01
00
11
10
10
01
11
10
01
10
10
01
01
01
10
10
10
10
00
00
01
10
10
10
10
00
01
11
10
00
00
10
00
10
00
01
11
10
00
11
00
01
11
00
11
10
01
01
00
10
00
10
11
10
00
00
00
00
00
01
10
01
01
10
10
11
00
01
10
10
10
11
10
00
01
00
10
00
10
11
10
10
10
11
00
00
10
01
01
00
00
10
10
10
00
00
10
00
10
00
10
10
00
01
00
01
10
00
01
10
10
10
01
01
11
10
01
10
10
10
01
11
00
00
10
00
00
01
01
01
00
10
01
01
10
00
00
10
00
00
10
00
11
00
11
11
00
01
00
10
10
01
00
01
10
10
01
00
10
01
00
10
00
00
11
10
10
00
10
10
00
11
01
00
01
00
10
10
10
01
00
10
10
11
00
01
00
01
11
01
10
11
10
00
00
00
10
11
00
10
11
01
01
11
10
00
10
11
00
11
11
00
00
00
00
10
01
00
10
11
10
00
10
01
01
10
00
10
00
11
10
00
00
11
10
01
11
11
10
00
10
01
11
10
11
10
01
11
10
00
00
11
10
00
00
10
00
01
00
00
11
11
00
10
00
01
10
11
00
11
10
01
11
00
01
10
00
11
11
00
11
00
10
00
00
01
10
10
00
10
11
00
10
01
00
00
10
10
10
00
00
01
00
00
00
00
10
11
11
11
00
00
11
11
00
00
10
01
00
10
10
11
00
00
00
11
01
01
10
00
11
10
00
00
00
00
00
10
00
00
10
10
00
01
11
10
10
10
10
00
10
01
01
10
00
10
00
10
00
01
00
00
11
10
00
10
01
00
11
11
01
00
11
11
00
00
10
10
01
10
10
00
00
10
10
01
11
10
00
10
11
01
10
01
10
01
10
00
00
01
11
10
10
10
00
00
01
10
10
11
01
01
00
10
00
01
11
00
11
11
00
11
00
10
00
01
10
00
10
00
10
10
00
00
10
10
11
10
11
10
11
00
10
10
10
00
00
10
01
10
01
11
11
00
10
11
11
01
01
10
10
01
01
00
10
11
11
10
10
00
01
10
10
10
00
00
11
00
10
10
01
10
00
00
11
10
11
11
10
00
00
10
10
00
01
10
00
01
11
00
10
10
00
11
00
11
11
00
10
00
00
10
11
10
01
00
11
00
01
10
01
00
10
00
00
01
10
01
11
11
00
01
00
11
10
00
00
10
10
00
10
00
10
11
00
01
00
01
10
00
10
11
10
00
00
10
00
11
00
11
11
00
10
00
10
10
00
00
00
00
11
11
10
01
10
00
00
00
00
10
00
01
11
10
01
10
10
00
00
11
10
10
01
10
00
01
00
10
10
00
11
01
00
00
10
10
11
00
00
10
01
00
11
10
10
00
00
10
10
11
01
00
01
00
11
10
01
00
10
10
00
01
10
00
00
00
00
00
11
10
00
10
01
11
00
01
00
00
00
00
11
11
00
00
10
10
10
11
00
00
11
01
01
11
00
00
10
11
00
01
10
10
00
10
00
10
10
00
10
11
00
00
10
10
00
00
11
00
10
10
00
01
10
01
10
10
10
01
00
10
01
00
00
00
00
01
01
10
10
00
01
10
01
11
10
10
11
01
00
10
10
00
11
10
10
00
01
00
00
10
10
01
00
10
01
00
11
11
10
00
01
10
01
00
11
10
00
00
11
01
11
10
00
10
00
00
10
10
11
00
10
00
10
00
01
10
10
00
00
01
00
10
11
00
11
00
11
11
10
00
10
11
00
11
11
00
01
00
10
00
10
10
10
01
00
10
10
00
00
10
00
11
01
00
00
00
00
00
01
10
10
00
10
10
10
11
10
00
01
11
10
00
00
10
00
01
10
00
01
01
01
00
10
10
11
00
10
10
10
10
10
00
11
10
00
10
10
10
00
11
00
00
10
00
10
10
10
00
01
00
00
11
01
01
10
10
00
00
00
00
10
10
00
10
10
01
10
01
00
10
00
10
11
10
01
00
10
00
00
11
11
10
10
00
00
00
10
11
00
00
01
10
11
00
11
00
00
10
00
00
00
00
10
10
01
00
01
01
00
01
01
11
10
00
00
11
10
01
00
10
10
10
00
01
01
00
01
00
11
10
10
00
00
10
00
00
10
01
11
11
00
10
01
11
01
00
01
11
00
10
10
00
00
10
00
11
00
01
11
10
00
11
01
11
01
00
10
10
00
10
10
01
00
00
01
00
11
00
01
10
00
00
01
00
10
10
00
01
01
00
10
00
11
00
11
10
00
11
10
10
10
00
01
01
10
00
00
00
10
11
10
11
00
00
00
00
00
00
00
10
10
10
00
00
11
10
10
00
00
00
11
10
11
00
00
10
00
11
01
10
11
11
10
01
11
00
01
11
10
00
00
01
00
10
00
01
10
11
10
10
11
10
11
01
10
00
10
10
10
10
00
10
11
01
10
10
01
00
11
10
00
01
01
00
11
00
00
10
10
00
00
11
10
00
00
00
00
10
00
00
01
01
00
01
10
11
01
00
11
01
00
10
10
00
11
10
10
00
00
10
11
10
00
00
11
10
10
01
01
00
00
00
10
10
01
10
01
00
00
00
11
11
01
01
10
10
10
00
10
11
10
00
00
01
01
00
11
10
10
11
11
11
00
00
00
11
10
00
10
10
01
00
01
10
00
10
00
00
01
11
11
00
00
10
10
00
01
11
10
01
10
11
00
00
01
00
10
10
10
01
00
01
00
11
01
01
01
01
11
11
00
10
11
00
10
11
00
01
00
11
00
01
10
00
00
00
00
01
11
11
00
00
11
10
01
10
10
00
11
10
10
00
10
10
00
11
00
00
00
00
01
10
10
01
10
11
00
10
10
11
01
11
00
00
10
00
11
10
00
00
11
11
10
00
00
10
00
11
10
10
00
01
11
01
00
11
11
10
01
11
11
11
01
00
10
11
10
00
10
00
01
10
10
10
00
00
00
01
10
11
11
00
01
10
10
00
00
10
00
10
10
00
00
10
10
10
10
01
10
00
00
00
00
00
00
01
01
10
00
00
00
10
10
11
00
10
11
01
11
11
10
00
11
11
00
01
10
10
01
10
00
10
01
00
10
00
11
01
00
10
11
10
11
01
00
00
00
01
00
10
11
00
01
10
11
10
10
01
11
10
01
11
11
10
01
01
10
00
00
01
10
10
00
11
11
01
11
11
00
00
10
11
00
00
10
10
10
00
00
01
00
11
11
10
00
10
00
10
01
00
10
00
00
01
11
11
00
00
11
11
10
10
10
00
00
11
01
10
10
00
10
10
11
00
00
10
01
00
10
00
10
11
00
11
00
11
00
00
11
00
01
10
10
00
11
10
00
10
11
11
11
10
01
00
10
00
00
11
10
00
11
00
11
00
00
01
00
00
00
00
10
00
11
00
11
10
01
00
11
10
00
00
10
01
10
10
00
10
00
01
01
00
10
00
01
11
10
10
00
01
10
10
11
00
00
00
11
00
10
10
00
00
11
00
10
00
00
10
10
01
10
10
00
10
00
10
10
01
00
00
10
11
00
01
10
00
01
01
11
00
11
00
10
00
10
11
10
01
00
00
00
10
00
10
10
00
01
10
11
00
01
00
00
00
11
00
01
10
01
00
10
00
10
10
10
10
00
01
10
00
10
10
11
11
10
11
01
10
00
10
00
00
00
10
10
10
01
00
10
10
00
01
10
11
00
00
01
11
00
01
10
10
00
10
00
00
10
10
10
00
01
10
11
01
11
01
10
00
01
10
11
11
00
01
10
00
01
10
10
11
10
01
10
10
01
10
01
10
00
00
00
10
00
01
10
11
00
11
10
11
01
00
10
00
00
10
10
10
00
00
10
10
00
00
00
10
00
11
00
10
10
11
11
11
00
00
10
11
11
01
10
00
01
01
11
00
00
00
10
10
00
11
10
10
00
11
01
11
01
01
00
10
00
10
11
01
00
00
00
00
01
00
00
11
00
00
11
10
10
11
01
10
10
01
10
11
10
01
01
00
01
00
10
10
10
00
10
10
01
00
10
11
11
00
01
11
11
10
10
01
10
00
00
10
00
01
10
00
10
00
00
01
00
00
01
00
10
01
11
11
10
00
10
11
01
01
10
11
10
00
10
11
00
01
00
11
00
10
00
00
00
00
10
00
01
00
10
10
00
11
01
11
01
11
10
10
00
00
10
10
01
10
00
10
11
01
10
10
01
01
11
11
01
00
10
00
10
00
10
00
01
00
11
00
11
10
00
11
01
10
00
10
11
10
11
00
00
01
01
10
10
10
10
10
01
10
00
00
11
00
01
00
10
10
10
10
00
01
10
10
11
10
10
00
00
11
11
10
00
11
01
10
10
11
11
00
11
10
00
11
00
11
01
01
11
10
00
00
10
10
00
00
10
11
10
10
00
00
00
01
00
10
10
01
01
00
10
01
11
11
10
01
00
11
11
01
00
10
00
10
10
10
11
10
10
11
11
10
00
00
10
00
10
00
00
00
10
10
00
00
00
00
10
10
10
10
00
10
00
00
10
11
11
00
01
11
10
01
00
10
00
00
10
01
00
10
10
10
01
10
01
00
00
00
11
00
00
10
11
11
01
11
10
11
01
00
10
00
00
00
11
10
01
00
00
01
00
01
11
11
11
11
10
01
10
10
00
00
11
10
00
00
10
01
00
11
01
10
11
10
10
10
00
01
10
10
00
00
10
11
00
00
10
01
11
10
10
10
11
01
00
00
10
11
10
00
00
11
10
01
00
11
00
00
10
11
00
00
00
10
00
01
10
10
00
11
10
11
11
01
00
01
10
01
00
10
10
11
10
01
01
10
01
10
11
10
11
00
10
00
00
00
10
10
00
01
01
01
10
10
01
01
10
10
10
01
10
01
00
10
10
11
10
10
10
10
01
10
00
00
00
00
01
00
10
11
00
11
00
00
00
00
10
00
00
11
10
00
01
11
10
01
10
10
11
01
01
11
00
00
00
10
01
00
10
10
10
10
01
10
11
01
00
00
10
00
10
10
00
00
00
10
10
11
10
11
00
10
10
10
00
00
00
11
10
01
10
11
10
00
10
10
10
10
10
10
01
10
10
11
01
01
11
11
11
00
01
00
01
10
10
01
00
10
11
00
00
00
10
00
11
10
00
00
10
01
00
00
00
10
10
10
00
01
10
10
10
01
10
11
00
11
11
00
00
00
01
10
00
01
10
11
10
10
10
10
11
01
01
00
10
11
11
11
00
01
10
10
01
10
10
00
10
00
00
10
00
00
00
10
00
00
10
10
11
01
01
10
11
00
11
01
11
00
00
11
10
00
00
10
10
10
10
01
10
11
10
10
00
01
00
11
01
10
11
10
00
10
10
00
11
00
00
11
11
00
11
00
10
01
01
10
01
11
11
10
01
11
01
00
11
00
01
00
11
10
00
00
01
11
10
00
01
10
10
00
00
10
00
00
10
10
10
00
01
00
10
10
00
10
10
10
00
10
00
00
10
01
10
11
01
10
01
01
00
00
10
00
01
01
00
10
10
00
11
01
00
10
10
10
10
10
10
01
01
00
01
10
10
11
10
11
10
00
01
01
01
00
00
10
00
11
00
10
11
00
10
01
10
11
10
10
10
01
00
01
11
10
00
11
10
10
10
00
00
11
00
10
00
11
00
00
01
00
01
10
00
10
01
00
00
00
11
00
10
01
10
10
01
01
00
11
11
00
00
10
00
00
00
10
00
00
10
10
10
10
00
00
01
01
00
11
01
01
00
01
00
00
10
11
00
00
10
10
00
10
10
01
11
00
10
11
01
10
00
01
10
01
10
11
10
00
00
10
00
10
00
01
01
01
10
00
00
01
10
10
11
01
10
10
00
00
00
00
10
00
10
10
10
00
10
10
00
10
10
00
10
10
11
00
11
00
00
01
01
00
00
11
01
00
11
11
11
01
01
10
00
11
11
00
01
10
11
00
00
10
00
00
10
00
00
01
10
00
11
00
11
00
10
00
01
10
01
00
00
00
01
00
10
10
10
00
11
11
01
11
10
11
00
10
10
00
00
11
00
11
00
00
00
11
10
11
10
01
00
11
10
10
10
01
10
11
00
10
00
11
11
01
11
11
11
11
11
00
00
00
10
11
00
01
00
11
01
00
11
01
11
00
11
10
00
00
11
00
01
11
10
10
10
10
11
11
00
10
01
10
10
00
01
11
00
01
00
00
00
00
10
10
00
10
01
00
01
01
11
00
10
10
00
01
10
11
10
00
00
10
00
01
00
11
10
00
01
00
10
01
10
11
00
10
00
10
00
00
00
00
01
01
11
00
00
00
00
10
11
00
00
11
10
10
10
01
01
01
10
00
00
10
01
10
01
01
11
01
10
11
01
01
11
00
01
00
10
11
01
11
10
00
01
00
00
00
10
10
10
01
11
00
00
10
10
10
01
01
10
10
00
00
10
11
01
00
11
00
00
10
00
00
01
10
11
11
10
00
10
10
01
00
11
11
01
10
00
10
01
10
11
00
01
00
10
10
10
10
00
10
11
10
10
11
11
01
11
10
00
00
10
01
00
10
10
01
10
10
10
11
10
01
00
01
00
01
01
10
01
01
10
11
10
01
11
10
00
11
10
00
00
10
01
00
01
11
00
00
01
00
00
10
11
11
10
00
11
10
00
01
00
00
01
11
11
00
00
10
01
00
10
10
00
00
01
11
00
00
10
00
10
10
11
00
11
00
10
10
10
00
00
00
10
10
01
11
01
11
00
00
11
00
10
10
00
01
11
11
00
10
01
01
10
11
00
00
00
01
01
01
11
10
01
00
00
00
01
10
10
01
00
00
00
11
10
00
01
10
01
00
00
00
01
10
11
10
01
11
00
00
00
11
10
10
10
00
11
11
00
10
10
00
11
10
11
00
10
01
01
10
00
00
10
10
11
00
00
10
01
01
10
01
10
00
11
10
00
10
10
10
10
10
00
00
10
00
00
10
11
01
00
10
10
01
10
00
10
11
00
00
00
10
10
11
10
10
01
00
00
10
00
00
10
10
10
00
00
00
10
10
01
10
01
00
10
00
01
10
10
10
00
10
00
10
10
00
10
11
10
00
01
00
10
00
10
10
01
01
11
00
10
11
00
00
10
00
00
10
11
01
00
10
11
00
10
00
11
10
00
10
00
10
11
00
10
10
01
00
10
01
10
10
10
00
11
10
00
00
00
00
01
10
01
01
00
10
10
10
00
10
10
00
10
10
10
11
00
00
11
10
11
11
01
10
00
00
00
11
10
00
01
10
01
01
00
10
10
11
00
00
11
00
01
01
00
10
10
00
00
11
10
10
00
00
10
00
00
10
01
00
00
01
00
01
10
10
00
10
11
01
00
10
10
10
10
00
01
10
10
00
10
11
00
00
10
10
00
00
10
00
00
01
10
00
00
10
01
01
00
00
11
00
10
10
00
11
10
00
10
00
01
10
00
01
00
10
00
01
10
00
00
10
10
10
01
00
11
00
10
11
11
00
00
00
10
11
10
00
01
01
00
01
10
11
10
01
11
11
11
11
10
10
01
00
00
01
00
10
10
00
10
10
10
11
10
10
00
00
00
10
11
10
00
01
11
10
00
11
10
10
11
10
00
11
00
10
10
00
01
10
11
01
01
10
01
10
10
10
01
01
00
00
10
10
01
00
10
00
01
01
00
00
10
10
01
01
00
11
11
00
10
11
00
10
11
00
01
10
00
01
11
00
11
10
10
10
00
10
11
01
00
00
10
10
00
00
10
11
00
00
10
01
01
11
10
01
10
11
00
00
10
10
01
01
00
11
00
11
00
00
10
11
00
00
11
10
00
00
11
00
10
00
00
00
10
10
10
00
11
10
10
01
10
10
11
10
00
00
10
01
00
00
00
00
01
10
10
00
01
10
10
10
10
10
00
11
10
00
01
11
00
10
10
10
11
01
10
10
00
00
10
10
01
01
11
11
10
01
10
10
11
00
10
00
00
01
11
10
10
00
00
10
01
10
10
10
01
00
01
01
00
00
00
11
11
10
00
01
01
10
11
10
00
10
01
01
11
10
10
00
01
10
00
10
00
00
00
11
10
01
10
11
10
00
00
11
10
00
10
00
00
01
10
11
11
00
00
00
01
10
11
01
10
10
11
10
00
11
10
01
00
10
10
00
10
11
00
01
00
00
00
11
00
01
10
10
00
01
01
10
10
01
10
00
00
10
10
01
01
11
00
00
11
00
01
10
10
00
01
00
11
00
01
01
00
11
10
00
10
11
01
00
11
00
10
00
00
00
00
10
10
11
00
01
10
01
01
01
10
11
10
10
00
01
00
01
11
10
11
00
01
11
10
01
00
11
10
10
00
01
11
00
00
11
00
00
10
10
00
11
00
00
10
01
00
10
11
11
10
01
10
00
00
10
00
11
10
01
00
00
10
10
10
00
00
10
00
00
11
10
01
11
00
00
10
00
10
00
00
10
10
11
00
10
01
11
00
00
01
00
10
00
11
10
00
10
01
10
01
10
11
00
00
00
10
10
00
11
11
00
10
10
00
11
00
11
00
00
01
10
01
00
00
10
10
10
00
01
10
01
00
01
11
10
11
00
01
10
00
01
11
11
00
10
10
00
11
11
10
10
01
00
00
01
10
11
00
01
00
10
10
01
11
01
00
01
11
00
11
01
01
01
10
10
11
01
00
01
11
01
10
10
10
00
00
11
10
00
01
11
10
00
00
10
00
01
11
11
00
01
10
10
10
00
00
10
10
00
00
10
11
11
00
00
00
10
10
01
11
00
00
11
10
10
00
00
11
10
01
10
00
00
00
11
00
00
10
00
10
10
11
00
00
10
10
11
01
10
10
00
01
00
00
10
00
10
00
01
10
10
00
01
01
10
10
10
01
01
00
10
00
01
01
00
11
00
00
10
00
10
10
01
10
11
01
00
00
00
10
10
11
00
00
10
00
00
01
10
11
11
01
00
00
00
11
10
00
01
11
11
00
10
11
11
01
11
10
10
00
10
11
00
00
00
01
10
11
11
00
00
11
01
00
10
10
10
00
00
10
01
10
11
10
00
10
01
00
10
00
00
00
11
11
11
00
00
00
10
10
00
01
10
11
00
10
11
10
11
11
10
00
01
11
11
00
01
10
11
00
01
10
11
00
00
00
10
10
01
00
10
10
10
00
00
01
00
11
11
10
10
01
11
00
10
11
00
00
10
11
10
00
00
10
10
00
10
11
11
01
10
10
00
01
00
00
10
11
10
00
10
00
10
10
10
10
10
00
11
10
00
10
10
01
00
11
10
10
10
00
01
00
00
11
11
10
10
10
00
00
11
01
11
10
01
00
11
10
10
11
11
10
00
11
00
01
10
00
11
00
00
11
01
00
10
11
01
00
10
00
10
10
10
00
10
11
11
11
00
01
10
00
10
00
01
10
10
00
10
10
00
00
10
01
00
00
01
01
10
00
01
01
11
10
10
10
01
10
10
01
00
00
00
01
10
10
10
01
00
01
11
10
11
10
11
00
10
11
10
11
01
10
00
00
01
01
11
01
11
11
01
10
11
10
00
00
10
00
00
01
11
00
01
11
01
00
11
10
10
10
01
00
10
01
00
11
00
01
10
10
00
01
00
10
11
10
00
00
11
10
00
00
10
00
10
00
00
00
10
10
10
00
10
10
00
10
00
00
11
00
01
10
01
10
01
01
01
10
10
11
00
01
10
00
10
10
00
00
10
00
11
10
11
00
01
10
10
00
10
10
00
10
10
01
10
10
01
01
00
11
10
01
10
10
11
11
00
00
10
00
01
00
10
10
01
11
00
00
11
10
10
00
10
00
10
11
00
00
00
10
00
10
00
10
01
00
01
10
10
10
00
10
11
11
00
00
01
00
01
11
00
10
10
01
11
10
01
00
10
11
00
10
11
10
01
00
00
11
11
01
01
00
10
10
00
00
11
10
00
11
00
10
00
10
00
10
10
01
11
10
10
01
10
01
10
10
11
10
00
10
00
00
10
00
10
10
10
01
10
11
00
00
00
10
00
10
10
00
00
10
00
00
10
00
11
00
00
10
01
00
01
11
01
10
01
01
11
00
10
10
00
11
01
00
11
11
00
00
11
00
01
01
10
10
01
01
01
11
11
00
10
00
11
10
11
01
00
01
10
01
00
10
10
10
01
00
11
10
00
11
01
11
10
01
01
10
11
00
11
10
10
11
00
10
01
00
10
00
11
00
10
01
10
01
10
10
10
00
00
10
00
11
10
11
00
11
00
10
11
00
11
10
00
01
10
11
00
00
10
00
00
10
11
01
00
10
10
10
10
11
00
00
00
11
00
10
00
11
01
01
11
00
00
00
10
01
01
11
10
10
10
10
11
10
01
01
10
10
10
00
00
01
11
01
10
00
00
10
10
10
01
10
10
01
00
10
10
11
11
10
00
01
10
00
00
10
01
01
10
11
00
11
00
00
11
01
00
00
00
10
00
00
01
10
00
00
10
10
00
11
10
01
00
10
00
00
01
11
10
00
00
10
00
11
11
10
00
00
00
00
10
00
10
00
00
10
01
00
11
10
00
00
00
10
01
10
10
11
10
10
11
00
00
01
01
01
00
11
11
01
00
11
10
01
00
11
10
10
00
00
10
01
01
10
00
10
01
10
01
00
10
11
10
10
10
00
00
11
11
11
00
00
00
11
10
10
00
00
10
10
00
00
11
00
01
11
00
01
00
00
00
01
01
10
10
00
10
00
00
10
10
00
00
00
00
01
10
10
01
10
11
11
10
00
11
00
10
11
01
10
00
10
10
01
10
10
01
01
10
10
00
00
00
11
11
11
10
01
00
11
10
00
01
10
10
00
10
11
11
00
00
01
10
11
10
00
10
10
10
10
11
10
00
00
00
10
00
10
11
00
00
00
11
00
11
11
01
00
10
00
01
10
10
00
01
10
10
11
00
10
11
10
00
10
11
00
00
10
11
00
00
11
10
10
11
01
01
10
10
00
00
00
00
01
10
10
01
01
10
10
00
10
10
11
10
00
01
10
11
01
01
10
10
10
01
00
00
00
10
01
00
01
00
10
00
10
11
00
11
10
00
01
11
11
10
10
00
01
10
11
01
00
01
00
10
01
11
10
11
10
11
01
10
00
11
00
10
00
00
01
01
00
10
11
00
11
10
01
00
00
11
10
00
01
00
10
10
00
00
00
00
00
00
11
10
11
01
10
11
01
10
00
01
10
00
10
10
00
11
00
10
00
01
00
01
11
10
01
01
01
10
01
11
11
11
00
01
00
00
00
10
10
00
10
01
10
10
10
01
00
00
00
10
01
01
11
01
01
01
00
00
11
01
01
10
10
00
11
11
00
01
00
10
01
01
00
00
01
11
10
00
11
00
00
00
10
10
01
00
10
00
00
10
00
01
10
10
00
11
10
10
10
00
11
01
10
10
00
00
00
10
01
10
11
10
10
10
11
00
11
10
00
10
11
00
00
00
10
10
00
10
00
01
00
10
10
11
10
10
01
00
10
00
01
01
01
10
10
00
00
11
10
01
10
11
01
11
11
00
10
10
01
01
10
10
01
00
10
11
11
00
11
00
11
00
00
11
00
00
10
10
00
10
00
00
10
11
10
00
00
10
10
00
01
10
00
10
10
01
01
11
10
10
11
10
01
11
01
00
00
00
11
01
00
11
01
10
00
10
11
10
00
01
00
11
01
00
11
10
00
00
11
10
00
10
00
00
00
01
10
00
01
11
11
11
00
00
00
01
10
10
01
10
00
11
11
00
11
10
10
00
11
00
10
10
00
11
10
11
10
00
00
00
00
10
10
00
01
00
00
10
10
11
00
01
00
00
11
00
00
00
10
10
11
10
10
10
00
00
00
10
00
00
00
01
10
10
10
10
10
01
01
10
00
10
10
10
01
00
00
10
00
00
10
11
10
11
01
11
10
01
00
00
11
00
10
11
01
01
00
00
00
00
11
10
01
10
10
10
01
10
10
11
00
01
10
01
00
01
00
11
00
10
01
00
10
10
11
10
10
10
11
00
10
11
10
11
00
00
01
00
10
11
01
00
01
11
11
10
00
01
11
10
00
00
00
01
01
10
10
00
00
11
01
10
00
01
11
10
10
00
00
00
00
11
01
01
00
01
11
00
00
00
11
11
00
11
10
11
10
00
00
00
11
10
00
01
10
00
01
10
11
00
10
11
00
11
10
00
00
10
00
11
10
00
00
10
01
00
10
00
10
11
00
00
10
10
00
00
10
10
00
00
00
10
00
01
00
11
11
11
11
10
01
01
11
10
00
11
11
10
00
01
00
10
10
01
10
00
10
11
10
11
01
00
00
11
10
10
00
10
11
00
10
10
01
00
01
01
01
11
00
10
10
11
00
01
10
10
10
11
11
00
11
00
00
00
01
00
10
00
10
10
00
01
10
01
01
10
01
00
10
10
10
00
10
10
00
00
00
11
11
10
00
10
10
00
00
01
11
00
11
11
01
00
01
10
11
10
01
00
10
00
10
11
10
10
01
10
01
00
10
00
01
00
11
01
00
10
00
00
01
01
10
10
10
01
00
00
10
10
00
10
11
10
00
10
11
11
10
11
11
00
00
10
10
00
10
10
10
10
00
10
10
10
11
01
01
10
01
10
11
00
10
11
00
11
10
11
01
00
01
10
11
00
11
11
10
10
01
11
10
00
00
10
00
00
00
01
01
00
00
00
11
10
10
10
11
00
10
00
10
10
01
00
00
00
00
10
10
11
00
01
00
00
10
11
10
00
10
10
10
10
00
10
00
00
00
10
11
01
10
11
01
11
00
01
10
01
00
00
00
10
10
11
10
01
01
01
10
10
10
10
10
10
00
00
11
00
10
01
00
00
00
10
10
00
00
10
00
11
00
10
00
00
00
10
10
10
00
10
10
10
10
00
01
00
01
10
10
10
00
01
00
00
10
10
10
10
00
10
10
00
00
11
10
11
10
00
10
11
10
10
00
10
10
00
10
01
11
10
01
10
00
10
10
00
00
10
10
01
00
10
11
01
10
10
11
10
01
00
10
00
10
10
00
01
00
10
00
10
01
11
00
00
11
00
00
10
10
11
10
11
01
00
11
10
01
00
00
10
00
00
11
11
00
01
01
00
01
01
00
10
10
10
00
11
11
01
00
00
00
00
01
01
01
11
10
11
10
01
10
11
00
01
10
11
00
01
10
10
11
10
11
01
11
10
01
10
10
01
00
10
10
00
00
00
10
11
10
01
00
00
01
10
11
00
10
11
00
11
11
00
01
10
00
00
00
01
00
11
00
00
10
10
10
11
11
00
10
00
10
10
00
11
10
00
10
00
00
00
10
11
11
10
01
01
00
10
11
01
11
10
01
01
01
00
10
10
10
10
01
00
01
10
01
11
01
00
10
10
11
10
01
00
11
00
11
10
11
00
01
00
11
00
01
10
10
00
00
10
10
00
01
00
01
10
00
00
00
01
10
00
00
00
10
01
00
10
10
11
11
10
00
00
01
10
01
00
10
10
01
10
10
10
11
00
00
00
00
00
00
10
00
10
00
01
01
10
01
00
01
00
10
00
11
01
00
11
10
11
11
01
01
10
01
01
00
11
10
00
00
00
11
11
01
00
01
00
00
00
10
01
10
11
00
00
10
11
00
01
10
10
10
10
00
11
00
01
10
10
00
00
00
11
00
01
00
10
01
10
10
01
10
10
10
11
10
01
01
10
10
10
01
11
00
00
00
00
00
00
10
10
11
10
11
10
11
11
00
10
11
00
00
11
11
00
01
00
00
00
10
11
01
01
10
01
00
00
00
10
01
11
10
00
00
01
10
01
00
10
10
10
00
00
00
10
10
10
00
00
10
00
11
00
00
11
00
11
00
11
00
10
01
00
11
00
01
10
01
11
01
00
10
10
00
10
10
11
00
00
11
11
11
11
01
10
10
01
00
00
10
11
00
00
00
10
01
10
01
10
11
10
10
00
10
10
01
10
00
10
10
10
01
10
11
10
00
10
00
00
00
10
11
01
10
00
11
10
10
00
00
00
00
00
11
10
10
11
10
00
00
01
11
10
00
11
00
01
11
01
10
10
10
00
11
10
00
01
00
10
11
10
10
10
00
10
00
10
00
00
11
10
10
11
11
11
01
10
00
01
01
01
10
10
00
10
00
00
00
11
11
10
00
10
00
00
00
10
01
11
10
10
00
00
11
00
01
10
10
00
00
10
10
01
11
01
00
00
00
10
01
00
00
10
10
00
01
10
10
11
10
01
11
01
01
11
01
10
01
00
10
11
00
00
01
10
10
10
10
00
10
10
00
10
10
10
11
11
11
11
01
10
00
01
10
00
00
10
11
10
01
11
00
00
00
00
00
10
10
01
01
00
00
01
00
10
00
00
10
10
00
10
10
01
00
01
00
10
00
11
10
10
10
01
00
01
10
11
00
10
00
10
00
01
11
00
11
11
11
00
00
00
10
10
10
00
00
10
00
00
01
11
11
00
10
00
10
11
10
00
00
00
01
10
10
11
00
01
01
11
10
00
01
10
00
01
10
11
00
01
11
10
10
00
00
01
10
11
00
01
00
10
00
10
11
00
00
11
10
10
01
10
00
00
10
10
10
00
11
10
01
01
00
01
00
11
11
01
00
10
00
00
00
01
10
10
00
00
11
10
00
01
10
10
01
10
00
01
00
10
01
01
10
11
10
01
00
10
10
01
00
00
10
10
00
00
00
11
11
00
10
11
00
00
00
00
00
10
01
11
10
11
00
01
10
00
11
11
10
10
01
00
10
10
10
00
00
10
01
11
00
11
00
00
10
01
01
10
11
01
11
11
01
10
11
01
01
10
11
00
00
01
10
10
10
00
00
10
10
11
00
11
00
10
01
00
10
00
00
00
00
00
11
10
10
11
10
11
00
00
10
11
00
00
00
10
10
00
10
11
10
01
00
10
00
00
00
01
11
10
10
00
00
11
01
00
11
10
00
00
00
10
10
00
00
00
00
10
00
10
10
10
10
00
10
10
00
11
10
00
10
10
01
10
00
10
00
00
00
01
10
01
10
10
01
10
01
00
00
00
01
10
10
00
10
11
01
10
11
11
10
00
00
10
00
00
10
00
01
10
11
00
10
10
01
10
11
00
00
00
01
00
10
01
01
01
11
10
01
11
10
11
10
01
10
10
01
00
11
10
00
00
10
11
00
11
10
10
01
10
01
00
00
10
00
00
11
00
01
01
01
11
00
10
10
00
00
00
10
10
01
11
00
00
10
10
00
00
10
00
00
11
00
10
11
00
11
10
01
11
11
10
00
01
10
00
00
11
10
11
00
10
00
00
01
10
11
01
00
01
10
10
10
10
01
10
10
00
10
00
01
11
01
00
00
10
10
00
10
10
01
11
10
00
10
00
10
11
01
01
10
10
10
00
00
10
11
00
11
00
10
00
01
00
11
11
00
10
01
10
11
01
00
01
00
11
01
11
10
11
01
00
00
10
11
01
11
10
01
00
00
10
10
10
00
10
00
00
10
00
00
00
11
10
01
11
10
00
10
01
00
01
10
11
10
10
10
10
10
00
01
10
00
01
11
00
00
10
11
10
00
10
01
00
10
01
10
00
10
10
00
11
10
00
00
00
01
00
00
10
11
00
10
00
10
11
11
11
00
11
00
10
01
00
10
10
01
00
01
01
11
01
00
10
00
00
11
01
01
11
00
00
10
10
11
00
01
00
11
01
01
00
11
11
01
10
00
10
00
00
10
10
00
00
10
00
00
10
10
00
10
01
11
10
01
00
10
10
00
01
10
11
11
00
11
00
10
00
00
00
00
00
11
10
01
11
00
00
10
10
01
10
01
00
10
10
01
00
11
00
00
10
00
10
11
11
00
01
11
11
00
00
00
11
00
00
00
00
00
00
00
10
10
00
11
10
10
01
10
10
00
01
11
11
00
00
11
01
11
00
11
00
00
00
10
10
00
10
11
00
00
11
10
10
10
10
00
10
00
00
11
10
00
00
11
00
11
10
01
10
01
10
10
00
00
00
10
10
00
00
11
00
10
10
10
00
00
10
00
01
11
01
10
10
11
11
00
01
00
11
11
11
00
01
10
10
11
10
00
00
10
10
01
10
00
10
10
10
00
11
00
11
00
10
10
01
01
01
10
10
00
01
00
11
00
11
01
10
10
11
10
01
00
10
00
11
00
10
10
00
01
10
01
10
00
01
10
10
00
11
10
00
11
00
01
11
10
01
11
00
10
10
00
00
11
11
11
00
00
01
11
00
00
01
10
11
10
00
10
10
10
10
10
00
01
10
10
11
01
00
10
00
10
11
01
10
00
00
10
10
01
00
10
01
00
10
00
01
11
01
01
10
11
10
10
10
00
00
10
10
00
00
10
10
00
11
00
00
00
10
00
00
10
10
11
00
11
00
00
00
00
11
01
10
11
10
10
10
11
00
00
10
10
00
10
00
11
11
01
01
10
10
00
11
00
11
10
00
00
00
11
10
00
10
00
01
00
00
00
00
10
10
11
01
11
00
01
10
10
00
01
11
00
00
11
10
00
01
11
01
11
10
00
10
10
11
01
01
10
11
10
10
00
00
11
00
00
11
00
10
00
10
01
01
00
10
10
00
00
11
11
10
11
00
01
10
01
00
11
10
01
10
10
00
00
01
11
00
01
10
10
11
10
00
00
11
10
00
01
10
00
00
01
00
01
10
10
00
11
10
01
10
00
01
10
10
10
00
00
01
10
00
00
10
11
11
01
10
11
01
00
01
10
11
10
00
00
11
01
01
10
10
00
10
00
10
10
00
01
00
11
10
10
11
10
10
10
00
00
00
11
10
11
00
01
10
00
10
10
00
01
10
10
10
00
01
01
00
11
11
10
01
10
10
00
00
11
10
00
01
10
10
00
10
00
11
10
00
10
11
10
11
00
11
10
10
01
00
10
10
10
00
00
00
00
01
01
11
00
10
01
00
10
10
11
00
11
10
01
01
10
01
10
11
01
11
00
00
10
10
01
01
10
11
01
10
10
11
10
10
10
01
01
00
10
00
00
11
00
11
00
01
10
11
10
11
01
00
10
10
00
00
10
10
00
01
11
10
01
01
11
10
00
00
00
10
10
11
00
01
10
10
10
00
10
01
11
00
10
10
01
00
00
10
10
00
10
10
00
00
11
11
01
10
10
10
00
00
00
00
11
10
00
00
00
10
10
10
01
00
10
01
00
00
10
11
10
00
00
00
11
00
00
01
00
01
00
10
11
01
00
00
11
00
01
10
10
00
11
11
00
10
10
01
10
10
10
00
00
00
10
01
10
11
10
11
00
11
11
00
10
10
11
01
01
00
10
11
00
01
10
00
00
10
10
10
00
00
01
00
10
00
11
10
01
10
11
10
10
00
10
00
00
01
10
10
00
10
00
00
00
10
00
10
00
10
00
10
11
10
01
00
11
11
01
10
11
10
10
10
01
00
10
11
00
11
11
00
00
10
10
11
10
00
10
10
01
00
11
01
00
00
00
10
11
00
01
11
00
00
00
11
10
10
00
01
10
00
00
10
10
11
01
00
10
00
00
00
10
10
10
00
10
00
00
11
11
11
11
10
11
10
00
11
01
10
11
11
10
01
10
01
00
10
11
01
00
00
00
10
10
00
10
10
00
10
00
01
01
10
00
00
00
00
11
00
01
00
00
11
11
10
00
10
10
01
00
01
10
00
10
00
10
11
00
01
00
10
01
10
00
00
00
11
00
10
10
10
11
00
00
10
00
00
10
01
11
11
01
00
00
00
10
10
00
01
10
10
10
10
10
10
00
01
00
11
00
11
00
00
11
10
01
01
00
10
01
01
00
10
00
00
00
01
11
10
00
11
10
00
10
01
01
10
10
01
00
00
01
10
10
10
01
11
11
01
00
01
00
11
11
10
00
01
00
11
01
00
01
10
11
00
10
11
00
00
10
01
00
10
10
00
00
00
10
11
10
10
00
01
00
11
00
01
10
10
00
00
10
11
01
10
10
10
00
11
01
10
00
00
10
00
11
10
10
01
00
10
10
10
00
01
11
01
00
10
00
01
10
01
10
10
10
10
10
11
00
00
00
00
01
00
10
10
11
01
11
11
10
10
01
11
00
01
10
11
11
01
00
01
00
10
10
01
00
10
11
01
01
11
10
01
11
10
00
10
00
00
00
10
11
00
01
01
01
10
10
01
00
01
10
01
00
11
00
11
11
00
00
10
10
00
00
00
11
00
00
11
10
00
00
10
00
00
11
10
11
01
10
01
11
00
00
11
10
10
01
00
00
00
00
10
10
00
10
11
00
00
00
00
00
10
10
01
10
11
01
01
10
01
10
10
00
11
10
01
11
01
10
10
11
00
00
10
00
01
10
00
10
10
10
10
10
01
01
11
10
10
11
01
00
10
11
00
10
00
01
00
00
11
01
11
10
10
10
10
01
10
01
01
00
00
10
01
10
11
00
10
00
00
10
10
00
10
10
00
00
10
11
11
10
10
11
10
01
10
10
00
11
11
01
00
10
11
10
01
00
01
10
00
10
00
01
10
11
01
00
01
01
00
11
00
10
01
10
11
10
10
01
00
11
10
00
01
11
00
11
00
01
01
10
11
01
01
10
11
00
01
10
11
10
00
10
10
00
00
00
10
11
00
10
00
10
10
10
10
00
11
10
00
00
10
11
00
10
10
01
11
10
00
00
10
01
10
10
01
10
10
00
01
10
00
10
00
00
01
11
10
10
00
00
10
00
00
11
10
01
11
01
10
00
10
10
00
00
00
11
00
01
10
10
11
10
00
10
00
00
10
00
00
11
10
00
11
00
00
10
10
01
00
10
01
10
00
00
10
10
10
00
00
01
01
11
10
10
01
00
00
10
11
00
10
10
11
10
10
10
10
00
00
11
00
00
00
11
01
00
10
10
01
10
11
10
10
00
00
11
10
01
00
11
10
00
10
10
00
00
10
10
10
10
01
10
10
00
00
10
11
11
00
00
10
00
00
11
10
01
00
00
10
11
10
11
11
01
01
00
11
10
10
10
00
00
00
10
10
01
11
00
11
10
10
01
10
11
00
00
11
10
00
01
10
10
00
11
00
00
10
10
00
10
00
10
11
01
10
00
00
00
10
00
00
10
10
11
10
01
01
10
00
10
10
11
01
01
00
00
10
01
10
10
00
00
00
10
10
00
00
10
00
10
00
10
10
10
00
10
00
00
10
01
11
01
11
11
01
10
10
00
01
00
10
10
01
11
10
11
01
10
10
01
10
00
01
11
11
00
11
01
01
01
00
11
01
00
10
00
01
00
10
10
11
00
10
11
01
11
11
00
11
10
01
10
11
00
00
00
11
00
11
01
00
00
00
01
10
10
01
00
00
10
11
10
01
01
00
01
10
01
10
11
01
00
10
11
10
10
11
00
00
11
01
00
11
10
10
10
00
01
01
00
11
01
00
01
10
10
00
00
11
11
00
00
01
10
10
01
01
10
10
10
01
10
00
10
10
10
00
10
10
00
01
00
00
01
00
10
00
10
01
10
01
10
00
01
00
10
01
01
01
01
10
00
00
00
11
10
00
10
01
11
10
01
01
10
10
10
00
10
01
10
11
00
00
11
10
10
11
11
00
00
00
00
10
10
01
00
01
00
10
10
00
10
11
10
11
10
01
01
10
00
10
00
11
10
01
00
11
10
01
11
00
01
10
00
00
00
10
00
00
00
10
00
10
10
00
10
00
00
01
10
10
00
11
10
00
10
01
00
10
01
10
10
00
10
10
00
11
00
10
10
00
10
11
11
00
10
10
00
10
11
11
00
00
10
10
11
00
10
11
10
01
11
01
00
01
11
00
01
10
00
11
11
01
00
10
11
10
10
00
00
10
11
00
00
00
01
11
11
11
10
11
01
11
11
00
00
11
11
00
01
10
11
10
00
00
11
11
01
10
10
10
10
00
01
01
01
00
00
01
10
00
01
01
10
00
10
11
01
01
01
00
10
10
11
00
11
10
11
00
10
10
00
10
11
10
00
00
00
11
11
00
01
10
01
00
01
00
11
11
10
01
10
10
00
00
00
00
11
10
10
10
00
10
10
00
00
00
10
10
10
11
10
10
00
00
00
00
01
10
01
10
00
10
00
00
10
10
00
10
10
11
10
11
10
11
10
10
11
10
00
10
01
01
10
11
01
10
10
01
10
01
01
10
11
00
11
11
01
00
00
10
11
10
01
10
11
00
11
11
00
00
01
11
01
00
10
11
00
01
10
00
00
00
00
11
01
00
00
11
00
10
00
11
10
00
11
00
01
00
10
00
10
00
00
10
10
10
00
10
00
00
00
11
10
00
00
00
10
10
10
00
10
11
00
01
10
11
00
01
00
01
10
11
00
01
01
10
11
00
10
10
10
00
00
10
10
00
00
00
11
10
10
10
10
10
01
01
10
10
00
11
00
11
00
11
10
10
10
11
10
01
10
00
10
00
11
11
10
11
10
10
01
00
00
10
00
01
10
00
00
00
00
10
10
00
01
10
10
10
01
00
00
00
10
00
01
01
10
11
00
10
01
11
10
10
01
01
10
00
00
10
00
00
11
01
00
10
10
10
01
00
01
01
00
00
11
00
10
11
01
00
11
10
10
10
00
00
01
10
10
00
00
10
00
00
00
01
01
00
01
00
00
10
11
11
10
01
11
10
11
00
00
00
10
10
01
00
10
11
11
11
10
00
10
01
11
01
00
10
10
01
00
01
00
00
01
10
11
10
10
00
01
11
01
10
11
10
00
10
10
00
10
11
00
10
10
10
10
10
00
00
10
00
10
10
10
01
10
10
10
00
01
10
10
00
01
10
10
10
01
10
01
11
10
00
10
11
01
11
10
00
10
00
10
10
00
01
10
01
01
10
10
00
01
10
00
01
11
01
00
00
00
00
11
10
10
00
00
10
00
00
00
10
10
01
10
11
10
00
11
00
11
10
10
00
00
00
11
00
00
10
11
10
10
00
01
11
11
11
00
10
11
10
10
01
00
10
00
01
00
10
10
00
10
11
00
00
10
00
11
10
00
00
00
11
01
10
01
00
11
00
01
10
11
10
00
01
00
10
10
10
01
00
00
00
01
10
10
10
11
11
00
00
10
10
10
00
00
00
00
10
11
01
10
00
00
00
11
00
10
10
01
00
01
01
00
00
10
11
00
10
10
10
00
10
10
01
01
10
11
00
01
01
10
00
00
00
10
10
00
10
10
11
10
00
01
00
11
10
10
10
11
11
10
01
00
01
00
11
11
10
01
11
10
01
00
11
11
01
00
10
01
11
00
00
11
01
01
00
10
00
10
01
00
11
10
11
01
00
01
00
00
10
11
00
00
00
10
11
00
00
11
10
01
11
01
01
10
11
01
01
11
10
10
01
00
10
10
01
01
11
10
01
10
10
10
00
11
10
10
10
01
00
00
11
10
01
10
00
00
00
01
00
01
10
11
10
10
10
11
10
00
10
10
11
00
10
10
01
00
11
10
10
00
10
00
01
11
10
11
00
10
01
11
01
00
10
10
10
10
11
00
00
10
01
00
01
10
00
10
11
00
00
00
10
00
01
10
10
00
10
11
11
10
01
01
11
11
11
10
00
10
00
11
10
00
00
10
01
10
10
01
01
10
11
01
00
00
00
11
11
00
10
00
10
10
00
01
10
10
10
01
00
00
00
11
11
00
00
10
10
00
10
00
11
10
00
10
10
10
11
01
01
01
00
01
10
10
10
00
01
11
10
01
10
00
00
00
00
00
10
10
11
10
10
01
10
10
00
11
01
01
10
00
01
01
11
10
00
10
00
10
10
00
00
11
11
11
00
01
10
10
10
00
00
10
01
11
10
11
00
10
00
00
00
10
11
11
00
00
01
10
11
01
01
00
00
00
00
10
10
01
10
01
00
11
10
00
01
11
00
00
11
11
00
10
10
00
00
10
01
10
10
00
11
01
00
10
10
00
00
00
01
00
10
00
11
11
11
11
01
00
00
10
10
11
00
00
00
00
00
10
00
11
10
01
11
00
11
00
11
01
01
00
00
10
00
01
10
01
01
11
10
10
10
00
10
11
00
11
10
01
00
01
10
00
10
11
10
10
10
00
00
11
10
00
01
10
10
11
10
00
01
11
10
10
10
00
00
10
10
10
01
00
00
00
10
00
11
11
01
10
10
10
11
01
01
01
11
11
11
10
01
01
11
10
11
00
10
11
10
00
00
00
11
01
00
11
10
10
10
00
10
10
10
00
10
01
00
10
10
00
10
01
00
10
10
00
00
00
01
10
01
01
00
01
01
10
01
11
10
01
10
00
10
00
01
10
10
01
00
10
01
00
10
01
00
11
00
00
10
00
00
00
00
10
10
01
00
00
11
10
10
00
10
10
00
01
01
01
11
10
11
10
11
00
11
10
00
01
10
11
00
00
00
00
11
10
10
00
10
10
10
00
00
11
11
00
10
01
00
10
11
00
10
10
11
00
11
10
00
10
11
00
01
00
10
00
00
10
10
11
00
10
11
10
10
00
10
00
00
00
01
10
00
00
01
01
10
01
00
10
11
01
01
00
10
10
10
00
10
11
00
01
10
00
10
10
01
00
10
10
00
11
00
00
10
10
00
11
10
00
01
00
00
01
10
00
10
10
10
10
00
11
11
00
01
00
11
10
10
00
01
10
10
00
00
01
00
10
10
11
10
01
00
10
10
00
01
10
10
00
01
10
10
10
01
01
10
01
11
00
00
00
00
10
00
01
10
10
00
00
10
01
01
00
01
11
10
10
11
10
10
10
10
01
10
10
00
10
00
00
11
10
00
11
00
00
11
00
10
00
10
10
00
00
00
10
11
10
10
10
00
11
00
10
10
10
00
10
01
10
01
10
11
11
00
00
11
10
00
00
11
01
10
00
01
11
00
00
10
10
01
01
10
00
01
00
00
11
01
10
11
00
11
00
00
10
01
01
10
10
00
01
11
00
11
10
01
00
10
00
01
10
10
00
01
00
10
11
01
01
11
11
00
10
11
00
00
01
11
10
10
11
10
10
00
10
10
11
00
00
00
00
00
00
10
10
00
11
00
11
10
00
00
10
10
00
10
01
00
10
01
00
10
10
00
10
10
00
10
00
10
11
01
01
10
00
00
11
01
10
11
00
01
00
10
01
10
10
00
00
10
00
00
10
01
10
01
10
01
00
11
10
00
10
10
10
00
00
11
01
10
00
11
11
10
11
10
01
00
11
00
10
01
00
10
00
01
10
10
00
00
11
10
11
10
10
10
10
10
01
01
10
10
00
00
10
00
10
00
01
00
10
10
01
00
10
10
10
10
10
00
01
11
00
11
10
00
00
11
10
10
00
00
01
00
00
01
00
10
00
10
10
10
10
01
00
11
10
00
00
10
10
00
10
10
01
11
11
01
11
01
00
00
10
10
01
01
00
00
01
10
10
01
11
10
00
11
10
00
11
00
00
00
10
10
10
11
00
01
11
11
10
01
00
10
01
01
10
11
10
00
00
11
00
10
01
00
01
11
01
10
11
10
00
10
01
01
11
10
01
00
11
00
00
11
00
10
10
01
01
00
01
10
00
00
11
01
11
00
01
00
10
00
01
11
10
00
11
00
00
01
00
00
00
00
00
11
01
00
01
11
10
10
10
11
00
01
01
10
00
01
00
01
00
11
10
10
00
10
10
10
00
00
00
10
11
01
01
01
10
10
00
10
10
01
00
10
11
10
10
01
00
10
01
00
01
00
11
11
00
00
10
10
01
10
10
10
10
00
11
00
01
10
00
00
00
00
10
11
00
00
01
00
00
00
10
11
10
00
10
00
00
00
10
10
00
01
11
11
00
10
01
01
01
10
00
00
10
01
00
00
11
10
10
01
00
00
01
10
10
11
01
01
10
00
00
11
00
01
10
10
00
11
00
11
10
11
10
00
10
10
00
00
00
10
10
00
11
10
11
01
10
00
00
10
11
10
00
10
10
10
00
10
10
10
11
00
00
10
11
01
00
11
00
10
00
11
01
11
11
00
00
01
00
10
10
01
01
10
00
01
10
10
11
00
00
01
10
10
10
00
10
00
00
11
01
10
00
00
01
01
10
11
00
10
01
10
11
00
01
10
10
00
11
00
11
11
01
11
00
11
11
11
00
01
00
10
01
01
10
11
10
00
10
10
01
11
11
00
01
01
00
10
10
00
01
10
11
00
10
10
10
00
01
01
10
11
10
01
01
00
01
01
10
01
10
11
11
00
01
10
10
01
00
11
11
00
00
10
11
11
00
10
10
10
00
11
00
01
10
11
00
00
10
10
11
00
00
10
10
10
11
00
00
00
10
10
11
11
11
00
00
10
10
11
11
00
01
11
01
10
10
00
10
10
00
01
10
11
10
11
01
11
00
01
01
10
10
00
10
10
10
00
00
11
00
10
10
10
10
00
11
10
11
01
10
10
00
10
01
01
10
11
10
01
10
01
00
10
11
00
10
11
00
01
10
10
11
00
00
00
10
10
00
01
00
01
10
00
00
00
00
10
00
00
00
10
10
01
00
10
11
10
00
10
00
10
00
00
10
00
00
00
11
00
10
00
00
10
00
00
10
00
00
10
10
00
00
11
00
00
01
00
11
10
11
01
11
00
10
00
10
01
00
10
00
00
00
00
10
10
10
10
10
01
00
10
10
11
01
00
10
10
00
11
10
00
00
11
10
01
01
10
11
00
11
00
10
10
00
00
11
10
01
11
10
10
00
00
11
10
00
10
00
00
11
00
01
00
00
11
10
10
00
10
10
00
01
10
11
11
01
11
11
00
01
10
10
01
01
10
11
10
00
01
01
00
00
10
11
10
01
11
10
00
00
01
10
01
01
10
11
10
01
10
00
10
00
00
10
01
00
11
10
00
10
01
10
01
01
10
11
00
11
10
10
00
10
10
00
10
10
10
11
00
00
00
00
01
00
00
10
11
00
10
10
11
11
10
11
00
11
11
10
00
00
00
10
01
11
10
11
00
00
01
01
10
00
01
10
11
00
00
01
00
10
10
10
00
01
10
10
11
00
10
10
00
10
00
01
10
01
00
01
10
10
11
00
10
00
01
10
11
00
10
11
00
00
10
01
00
00
01
10
00
00
00
10
00
00
11
01
00
00
00
00
00
00
10
10
00
10
11
10
00
01
10
10
10
10
01
10
10
00
10
10
00
00
00
00
00
11
11
00
00
10
11
11
00
00
00
10
01
01
11
10
00
01
00
10
00
00
10
10
01
00
00
10
00
10
11
10
01
00
10
00
11
00
10
00
01
11
01
10
00
00
11
11
01
01
11
11
00
00
10
10
11
10
01
11
11
11
11
01
00
11
10
00
10
01
11
11
00
01
10
01
10
10
11
00
01
00
10
11
01
11
10
10
00
00
00
11
00
00
10
01
00
11
00
11
00
11
00
00
11
11
10
00
00
10
01
01
10
01
00
11
10
01
10
01
00
10
10
01
11
00
00
11
10
00
01
01
01
11
00
11
01
11
11
10
00
01
01
00
00
10
11
10
11
00
00
10
01
00
11
00
01
00
10
01
11
10
01
01
10
10
01
10
11
11
01
00
10
01
01
10
10
00
00
10
01
00
11
00
01
00
01
00
10
10
00
10
10
00
10
10
00
10
00
00
00
10
11
00
11
10
00
11
00
11
00
10
10
01
00
10
10
01
11
10
11
10
00
10
01
01
11
11
10
11
11
00
10
10
00
00
00
10
00
11
00
01
00
11
10
11
11
10
10
00
00
10
00
00
00
10
11
01
00
11
10
10
10
01
10
00
10
10
00
10
11
00
11
10
01
00
00
10
11
10
00
10
00
00
00
10
10
01
00
01
10
10
00
00
00
11
00
00
00
00
00
10
10
10
00
01
00
00
10
10
00
00
10
10
10
11
00
10
10
11
00
00
00
11
00
01
11
11
11
00
00
00
00
00
11
10
00
00
10
00
00
10
11
00
01
01
00
00
00
11
01
10
10
11
00
01
10
10
01
11
01
00
10
10
00
10
00
10
00
00
10
01
11
10
11
10
10
11
10
01
00
01
00
10
10
10
00
00
10
10
01
01
01
10
10
01
11
01
01
01
00
10
00
10
10
01
00
10
10
00
00
10
00
11
00
00
00
00
10
01
00
00
00
00
10
00
10
11
11
11
01
11
01
01
10
10
00
00
10
00
00
10
00
10
11
11
10
00
01
10
11
01
00
10
10
01
10
00
01
11
10
01
10
10
10
10
00
01
11
10
10
10
11
10
11
00
01
00
11
10
00
00
00
01
11
10
00
10
10
10
00
00
00
11
00
00
00
11
10
11
01
00
01
00
01
00
01
10
10
10
11
01
00
10
10
11
00
10
10
01
01
10
00
00
11
00
10
10
00
10
01
01
11
11
01
10
00
00
01
11
11
00
00
00
10
10
01
10
10
11
00
10
10
00
00
11
00
01
10
00
00
00
00
10
11
01
11
00
10
11
01
00
00
00
10
10
00
00
01
00
11
10
01
11
10
01
10
11
00
00
10
00
10
11
00
11
00
01
10
00
00
10
10
10
00
01
10
11
10
01
10
11
11
00
10
10
01
00
10
10
00
10
11
00
00
01
10
00
01
10
01
10
11
00
10
00
00
10
11
01
01
10
01
01
01
00
00
11
10
00
11
11
00
01
11
10
11
11
00
10
11
00
10
00
00
00
01
00
11
10
10
01
10
00
01
00
10
00
10
11
00
00
00
10
11
00
00
00
11
11
01
10
10
10
01
00
01
10
10
10
10
01
00
00
00
00
10
10
10
10
00
00
00
10
00
11
10
00
11
00
00
11
00
11
10
11
01
00
10
00
00
10
00
00
10
00
10
01
10
10
10
10
01
00
10
10
00
00
11
10
10
10
00
11
00
00
10
11
01
10
11
10
00
10
10
01
01
01
10
10
10
00
11
01
00
10
00
01
01
00
00
10
10
11
10
00
00
10
00
00
10
10
10
00
11
01
01
10
11
00
10
00
01
01
11
10
00
00
01
11
00
11
10
00
00
00
01
00
10
11
10
11
10
11
10
00
00
00
00
01
10
10
11
00
01
11
10
00
10
00
11
00
01
01
10
10
10
00
10
10
00
00
00
10
11
10
11
01
01
01
10
01
11
11
00
01
10
10
00
00
00
11
00
01
10
01
11
01
01
00
01
10
01
00
11
11
01
01
11
01
00
10
00
00
10
00
00
11
10
10
00
10
10
11
11
01
10
10
00
10
01
00
01
00
10
00
11
10
11
10
00
10
00
01
11
00
00
11
10
00
00
10
10
11
00
00
11
10
10
00
11
10
10
10
10
11
01
00
10
10
01
10
00
00
01
10
10
10
00
00
10
00
10
11
10
00
00
01
00
00
00
00
10
10
11
10
11
00
00
10
01
00
00
01
10
11
01
10
10
00
10
10
11
11
00
00
00
00
00
10
10
00
00
10
00
00
00
01
11
11
10
00
10
00
00
10
11
11
11
10
00
10
11
10
01
11
10
10
00
01
10
10
01
11
00
00
00
00
01
10
10
10
01
00
10
11
00
00
10
10
00
10
10
01
00
10
10
00
00
00
00
10
00
00
00
10
00
00
01
00
01
11
10
00
01
01
00
00
10
01
00
10
00
10
10
00
10
10
00
01
11
00
00
10
10
01
10
00
00
01
10
11
10
11
00
01
11
01
10
10
00
01
10
01
01
10
00
10
00
10
00
01
10
11
00
11
01
00
00
01
00
11
10
00
01
10
01
10
00
00
00
11
00
11
11
00
01
00
11
01
11
10
11
00
00
10
01
00
11
10
10
00
00
01
00
01
11
00
00
11
10
00
00
10
10
10
00
00
00
00
00
00
10
01
01
11
10
11
00
11
01
01
10
10
01
00
11
10
10
00
10
01
01
01
10
10
10
10
00
10
10
01
01
10
10
11
00
10
10
11
00
11
10
00
00
10
10
01
00
00
11
10
00
11
10
00
00
11
01
10
11
00
10
11
10
11
10
10
00
10
10
10
11
00
00
01
00
00
00
10
11
00
00
10
10
11
00
01
01
00
10
00
00
00
10
01
01
11
11
10
10
10
00
10
01
00
00
11
10
00
00
01
10
11
11
10
11
11
01
10
10
00
00
10
01
00
10
10
10
01
10
10
10
00
01
01
10
00
00
11
10
11
01
10
10
01
10
10
00
01
10
11
10
10
01
00
11
00
10
10
10
00
11
10
00
11
10
11
10
00
01
00
10
00
00
11
10
11
10
01
01
11
11
10
00
00
11
10
00
01
10
11
00
00
11
01
11
01
10
10
10
00
00
01
10
11
01
00
00
01
00
10
01
00
11
10
10
01
00
11
10
00
00
10
10
01
00
11
10
00
00
01
00
01
10
10
10
00
00
11
10
00
00
10
00
10
10
00
00
10
00
00
01
00
10
01
11
11
10
11
00
10
01
10
00
00
10
11
10
11
10
01
10
10
10
00
00
11
11
00
01
10
00
10
01
10
10
00
00
10
01
00
11
00
11
00
00
11
00
11
10
00
00
10
10
01
01
01
00
01
01
00
00
01
00
11
10
10
10
10
00
00
00
10
00
00
01
00
10
10
11
00
11
00
10
10
00
10
10
01
01
10
10
10
10
00
10
10
00
01
10
11
10
01
10
00
00
10
00
11
10
00
10
10
00
11
01
10
10
11
10
00
11
00
01
01
00
10
10
10
01
11
11
00
01
01
01
01
10
00
00
10
10
10
00
00
11
10
10
00
01
10
10
10
00
01
10
10
00
11
10
11
00
00
01
10
00
00
01
10
10
10
11
00
00
01
00
01
10
11
00
01
00
01
00
11
00
01
10
00
11
01
01
11
00
01
00
10
11
11
00
00
00
10
00
00
10
10
11
00
11
10
00
10
11
10
10
00
00
11
00
10
10
01
10
10
00
10
00
01
10
00
10
10
00
10
00
01
10
10
10
00
00
00
10
10
10
11
11
00
01
11
01
00
11
11
10
00
01
00
11
00
01
11
11
11
11
10
00
10
10
00
01
10
10
10
01
10
00
10
10
01
00
10
01
11
10
10
10
00
00
10
11
00
00
00
10
00
10
00
00
10
10
10
10
01
00
10
11
00
10
11
00
10
01
00
00
00
11
01
00
10
00
01
10
10
10
01
00
10
10
01
01
01
11
10
11
00
00
00
11
11
01
00
00
00
00
10
01
10
10
00
10
00
10
01
11
11
10
00
01
10
10
00
01
11
11
11
00
10
11
01
00
01
10
10
00
10
11
10
01
00
00
00
00
00
01
11
00
00
10
10
00
01
11
10
01
10
01
10
01
10
00
00
00
10
00
10
11
01
10
10
01
00
10
10
10
10
10
01
10
10
01
11
01
01
00
01
01
10
11
10
00
00
10
01
00
10
10
01
11
01
01
00
00
11
10
01
00
10
10
01
00
01
10
10
00
00
00
00
00
10
00
00
10
00
10
10
10
10
10
01
11
11
01
10
11
10
11
00
00
11
10
01
00
11
11
10
00
00
10
01
11
11
00
00
10
00
10
00
01
10
10
11
00
10
11
10
00
00
10
01
00
00
11
10
10
00
10
11
01
10
01
01
11
01
01
11
00
01
11
10
11
11
01
00
00
10
01
00
10
00
00
10
00
10
10
10
01
01
01
01
01
00
10
10
00
10
01
00
10
11
10
01
11
00
00
00
01
10
10
00
10
10
10
00
00
11
10
00
11
01
10
00
01
01
11
10
01
10
00
11
00
10
10
01
00
10
10
00
10
01
01
00
10
11
00
01
00
00
10
11
00
00
11
10
11
00
10
00
01
01
01
11
11
00
00
00
10
10
11
00
00
10
10
01
00
01
01
11
11
10
01
00
10
01
11
10
01
01
11
01
00
10
00
11
01
01
11
11
11
00
01
10
11
01
00
10
00
00
10
10
00
00
10
10
00
10
11
00
01
11
00
11
01
10
00
10
10
01
01
01
10
10
11
11
11
11
00
00
00
10
00
10
10
00
10
01
00
11
10
00
10
00
10
01
00
10
00
00
10
01
10
10
10
01
10
10
10
00
10
01
00
10
10
11
01
10
10
00
01
11
01
11
11
10
11
00
11
01
00
11
10
01
00
11
11
10
11
10
00
00
10
00
11
00
00
10
10
00
00
10
10
11
00
10
00
00
11
11
10
00
00
00
00
10
10
11
10
01
00
01
00
10
10
00
11
10
11
01
10
10
00
10
11
01
01
01
00
00
00
10
00
00
10
11
10
01
11
01
01
10
10
10
00
00
10
10
00
10
10
00
00
11
10
10
00
00
00
00
00
10
11
10
00
00
10
11
11
00
10
00
10
10
11
00
01
10
00
11
10
01
01
11
11
10
01
00
10
10
10
00
00
00
10
00
01
11
11
01
01
10
00
10
10
01
01
11
10
10
00
10
01
10
00
00
10
10
01
01
10
10
00
00
00
00
10
01
10
11
11
11
11
01
00
11
00
01
00
11
00
01
10
10
10
01
00
10
10
01
01
00
00
10
00
10
10
01
00
01
10
01
11
10
01
00
10
10
10
11
01
11
11
10
00
00
10
01
10
11
11
01
00
01
11
00
00
10
00
00
10
11
10
10
00
10
01
10
10
00
00
11
10
10
00
11
10
00
00
11
11
10
01
10
11
10
00
00
10
01
10
11
00
11
00
00
00
00
10
10
10
01
10
01
00
11
00
00
10
10
01
00
11
01
00
00
00
00
00
00
10
00
01
00
00
10
01
00
10
10
00
00
00
00
10
10
00
10
11
01
01
00
10
10
01
00
10
11
00
01
10
10
00
10
10
10
11
10
00
01
10
11
00
00
01
00
10
10
00
00
00
10
11
10
01
10
11
10
01
10
10
10
11
00
10
01
00
10
10
10
10
00
00
00
01
10
10
10
10
00
00
11
01
10
11
11
10
00
10
10
10
11
00
00
10
00
10
00
00
11
10
00
11
01
11
11
10
00
01
00
10
01
10
10
11
11
00
01
00
10
10
11
11
00
00
11
10
01
10
10
10
11
00
10
10
00
00
10
10
00
10
01
00
01
10
00
10
00
00
00
01
11
11
00
00
10
11
10
00
10
10
11
00
00
00
00
11
10
11
10
00
01
01
00
10
11
00
10
00
11
01
10
11
11
10
00
11
00
10
11
01
11
10
00
10
10
11
00
10
10
11
00
01
10
00
00
11
11
11
10
11
10
00
00
10
11
00
01
00
11
00
00
10
01
01
00
00
01
00
00
00
10
10
00
00
11
00
01
11
00
11
01
01
00
01
11
10
10
00
00
10
00
00
00
00
00
11
00
01
11
10
11
10
10
10
10
01
00
00
11
00
00
01
00
10
00
01
01
10
10
11
10
00
00
00
11
00
00
11
10
10
01
01
10
11
01
11
00
01
10
00
01
10
11
00
00
10
10
01
00
01
10
01
10
10
00
10
10
00
11
10
11
00
11
10
00
00
10
00
00
00
10
10
00
00
10
00
11
01
10
00
01
00
11
01
00
11
10
00
01
10
11
00
11
11
11
01
00
10
00
00
10
00
00
10
10
01
00
10
10
00
11
00
00
00
10
00
10
00
10
11
01
10
11
00
01
00
00
10
01
00
11
10
00
00
10
10
00
00
10
00
01
11
11
10
00
10
10
00
00
10
11
00
11
00
11
01
10
00
00
11
10
00
01
11
10
01
11
10
10
10
00
10
01
10
10
00
10
10
10
00
00
00
11
10
00
00
10
10
11
10
00
10
11
01
01
01
10
00
00
10
00
10
10
11
00
00
10
11
00
10
10
11
01
10
00
10
10
11
11
01
00
10
01
10
10
11
00
00
00
10
10
01
10
11
11
00
00
10
10
10
10
00
01
00
10
00
00
00
10
11
00
11
10
00
10
00
00
11
11
11
01
01
00
01
01
11
11
00
01
11
01
01
00
10
10
01
00
11
10
10
00
10
00
10
00
00
01
10
11
00
00
10
01
01
11
00
01
00
10
10
00
10
11
01
10
10
00
11
01
11
11
10
00
00
00
00
10
00
00
11
10
10
00
00
00
00
10
10
10
00
01
00
11
10
00
11
11
01
10
10
00
01
00
10
10
00
00
00
00
00
10
01
00
00
10
00
10
10
10
01
00
10
11
00
00
00
11
10
10
10
01
00
01
01
11
01
01
00
10
00
01
00
10
10
11
00
01
10
10
10
11
00
01
10
11
00
01
00
11
11
00
10
10
00
00
10
11
00
01
10
00
00
00
00
10
00
00
00
10
00
10
01
10
01
00
00
11
00
00
11
00
00
00
10
11
11
11
01
10
11
10
10
10
00
00
10
11
01
10
00
00
10
10
11
10
11
10
10
10
01
00
00
00
10
11
11
10
00
10
01
10
11
11
11
01
01
00
11
10
01
10
10
00
00
10
10
11
11
11
00
11
10
10
00
01
10
10
10
00
00
01
01
11
10
01
00
00
10
01
11
11
01
10
00
00
11
10
11
00
00
10
00
11
10
11
10
01
10
11
00
01
11
00
01
10
10
00
00
00
11
00
01
00
00
11
00
11
11
00
00
00
00
10
01
00
10
00
00
10
11
00
11
01
10
00
00
00
00
01
11
01
10
10
00
10
11
01
11
10
00
00
00
10
00
01
10
00
10
01
00
01
11
10
01
00
01
10
11
10
01
10
10
01
10
00
00
10
00
00
10
10
00
11
10
10
00
00
01
01
11
10
10
00
00
10
10
00
01
10
10
11
00
11
00
00
10
11
01
00
10
01
01
10
10
10
00
00
10
11
11
11
10
00
10
11
10
01
00
00
10
01
10
10
10
00
10
00
00
10
10
10
01
11
00
01
10
01
00
00
01
10
11
00
11
10
10
11
00
11
10
01
00
10
00
10
11
01
10
10
10
00
10
00
01
01
00
01
00
10
10
00
01
10
01
00
00
00
00
10
10
00
11
10
00
10
10
00
11
10
00
10
10
10
00
11
10
10
00
00
10
01
11
00
01
10
10
11
01
00
10
10
00
10
10
01
11
10
10
00
10
10
10
10
00
10
11
01
00
01
11
00
11
10
11
01
01
00
10
10
00
10
10
10
01
10
10
10
01
10
10
10
00
10
01
10
01
00
00
01
00
11
01
00
10
10
00
00
00
10
00
10
10
00
00
10
00
00
00
10
10
10
11
10
10
01
10
11
00
11
01
01
10
10
10
00
00
11
01
10
10
11
01
00
10
01
11
10
10
01
00
10
10
11
10
10
10
10
00
01
01
10
10
00
11
01
00
00
10
10
10
10
11
10
01
01
10
11
01
01
00
11
11
10
00
00
10
11
00
01
10
00
01
10
11
10
11
01
10
00
10
00
00
10
00
00
10
10
11
10
00
10
00
00
11
01
10
10
00
00
10
01
10
00
11
10
11
00
00
00
10
11
10
00
00
10
00
00
01
00
10
10
11
10
01
10
01
11
10
11
10
00
10
10
00
11
11
01
01
01
00
10
00
01
01
10
10
00
00
00
01
01
11
11
00
11
01
00
00
11
10
01
00
01
10
11
01
00
10
11
10
11
00
00
00
00
10
00
10
11
00
10
00
00
11
10
01
11
10
00
10
00
00
01
10
10
10
11
11
00
00
00
00
01
11
10
10
00
10
10
01
00
01
10
00
01
00
11
10
10
10
10
01
01
01
10
00
00
00
00
10
10
00
00
10
11
00
00
10
11
01
11
11
11
00
00
00
10
00
01
10
01
10
11
10
10
01
01
00
11
00
01
01
00
00
10
00
00
00
10
10
00
10
01
01
00
10
10
10
00
11
10
10
00
00
10
00
01
01
00
10
00
10
11
01
11
11
00
00
10
00
01
10
10
00
00
00
10
11
00
01
11
10
10
00
00
00
00
10
10
00
01
11
00
11
00
00
01
01
00
10
00
00
10
10
00
10
10
01
01
10
10
10
00
10
00
10
11
10
10
00
00
01
10
01
01
01
11
01
10
10
10
01
01
10
11
00
01
11
10
01
00
01
00
01
10
10
00
01
00
11
10
00
01
01
10
11
10
10
00
00
01
10
00
10
11
10
01
00
01
00
11
10
00
10
10
10
11
00
01
01
10
11
00
00
10
00
00
11
00
00
10
01
10
00
00
10
10
00
00
00
10
10
00
10
00
10
00
10
01
00
11
00
00
00
00
11
00
11
11
00
01
11
01
11
10
00
10
11
11
00
00
10
10
01
00
00
01
11
10
10
10
11
01
10
01
10
10
01
10
00
00
10
10
01
00
11
10
11
10
00
00
11
01
01
00
00
01
01
10
10
01
10
11
00
00
11
00
10
11
11
01
00
00
10
00
10
10
01
10
00
00
11
11
11
01
11
10
01
00
10
00
00
10
10
01
00
10
00
00
11
11
00
00
11
00
10
01
10
10
01
00
01
00
00
10
01
00
10
10
10
10
01
10
10
00
00
11
00
00
00
00
00
11
10
01
10
11
00
11
10
00
01
10
10
11
10
00
00
10
11
10
00
00
10
10
11
00
00
11
00
01
10
00
10
11
11
00
00
10
10
10
10
00
11
00
01
00
10
01
10
10
01
10
10
10
01
00
10
00
10
10
01
00
10
00
01
10
00
11
00
01
10
00
11
10
10
00
00
11
10
00
00
01
10
01
11
00
00
10
11
00
00
11
10
10
11
10
11
10
00
01
10
10
10
10
00
01
10
11
10
00
11
10
01
01
01
10
11
11
10
00
01
00
11
00
01
11
10
00
01
01
00
01
10
10
01
00
10
00
10
10
00
01
01
10
00
11
10
00
10
10
01
00
11
00
00
11
10
10
01
10
10
00
00
00
10
10
11
01
10
00
01
00
01
00
01
10
10
00
10
11
01
10
10
10
01
10
00
00
10
11
10
00
10
01
10
11
00
11
10
10
10
01
00
10
01
11
11
00
00
00
10
00
11
10
00
01
00
11
11
11
00
00
01
01
01
10
11
00
00
11
10
11
10
01
01
00
10
10
10
00
10
01
10
00
01
11
10
11
00
00
01
10
10
10
00
00
10
00
10
10
10
00
00
01
01
00
01
10
10
10
11
01
00
01
11
00
00
10
11
11
01
11
10
10
00
00
10
00
01
11
10
10
11
11
10
00
10
00
01
10
00
00
11
00
10
01
00
00
00
01
11
10
10
10
01
10
00
11
00
01
01
11
10
11
11
00
11
10
10
00
00
10
00
10
11
00
00
10
01
10
00
10
00
01
00
00
10
10
00
00
00
10
11
10
10
11
10
10
11
10
00
00
11
00
11
00
00
10
11
11
00
10
00
10
10
00
10
00
10
10
00
11
11
11
00
00
10
11
11
01
00
10
00
01
11
11
01
00
00
10
00
00
10
00
10
11
00
10
00
00
10
10
11
00
10
01
00
00
11
00
10
10
01
00
10
00
10
11
00
00
10
00
01
10
00
10
11
00
11
00
11
10
00
00
00
01
00
01
10
00
01
10
00
01
11
11
01
01
10
10
10
00
00
10
10
10
01
10
00
11
00
00
00
10
10
11
00
00
00
10
00
10
11
11
10
00
00
01
00
00
11
01
01
10
11
00
10
00
00
00
10
11
00
10
10
10
10
11
01
00
01
10
00
10
00
00
00
01
11
10
01
10
10
11
01
01
10
11
00
00
01
01
11
10
00
01
00
10
00
10
10
00
11
01
10
00
00
10
00
00
01
11
10
00
00
10
00
00
10
11
10
00
00
11
00
00
00
01
00
10
01
11
00
10
10
11
10
01
10
00
00
10
00
01
01
10
11
10
00
00
00
11
11
10
00
10
10
00
10
00
01
01
00
01
10
10
01
00
11
10
00
00
11
10
10
10
00
00
10
10
11
10
11
00
01
01
00
00
00
00
10
01
00
10
10
01
11
01
00
10
10
10
00
00
00
11
00
00
00
00
10
00
01
01
10
10
11
00
00
00
10
11
00
00
00
00
01
10
10
11
10
11
11
01
00
00
10
00
11
10
00
00
00
10
11
10
10
11
11
00
01
00
00
01
00
10
10
00
00
01
10
10
10
00
11
10
01
01
00
10
00
00
10
11
00
10
11
10
11
10
11
00
11
00
00
11
11
00
00
10
11
00
11
11
00
10
10
00
11
00
01
00
10
00
00
00
11
11
01
10
00
10
10
10
01
10
10
11
00
11
00
10
00
00
01
11
00
00
00
10
00
00
00
11
11
01
11
10
00
00
10
10
10
01
00
10
10
10
11
11
00
10
10
10
00
10
00
00
00
11
11
11
01
10
00
01
00
10
01
01
10
10
10
10
00
01
10
10
11
00
01
11
10
01
00
10
10
00
00
10
11
00
01
11
10
01
10
10
00
00
10
10
01
11
00
10
00
00
00
10
11
10
10
10
00
00
00
11
00
01
10
00
00
11
11
10
01
00
00
11
00
11
10
11
00
10
10
10
00
00
10
11
00
10
11
10
00
01
11
10
00
00
10
01
00
01
11
10
00
01
00
10
00
00
10
01
00
01
00
10
10
00
10
00
11
11
00
10
00
11
11
10
00
01
10
10
10
01
00
10
10
11
00
10
11
00
00
00
10
10
01
10
00
11
10
00
00
00
10
00
10
00
10
00
00
01
10
00
01
10
10
00
10
10
00
01
10
10
01
00
00
10
10
10
00
11
00
10
11
00
10
00
10
10
11
01
00
10
10
10
10
10
00
01
11
10
10
10
00
10
01
01
00
10
10
01
01
11
01
10
10
10
10
10
00
10
10
11
01
10
10
01
00
11
11
01
00
01
11
10
10
01
10
11
00
01
10
11
01
00
10
10
10
00
00
11
10
01
10
11
11
10
10
00
01
11
00
00
10
11
10
10
00
00
00
10
00
00
10
00
10
10
10
01
11
11
10
00
10
00
10
01
00
11
00
00
00
00
00
00
00
10
00
10
11
10
10
10
10
00
11
00
10
10
01
10
10
11
00
10
00
10
11
00
10
01
10
00
10
10
00
00
10
11
11
11
01
10
10
00
10
10
00
01
11
10
00
00
10
01
11
01
11
01
10
10
01
01
00
10
10
00
00
10
10
00
00
00
10
01
10
00
10
00
00
11
00
10
10
10
10
11
10
00
00
00
10
11
00
00
10
10
10
00
00
11
01
11
10
10
11
01
00
01
11
10
11
00
00
00
00
11
11
10
00
10
00
10
11
01
11
11
10
01
10
00
00
10
11
10
01
01
00
00
00
10
11
10
00
10
10
00
10
00
00
11
10
10
11
00
10
10
00
11
11
10
10
00
10
00
10
10
10
00
01
10
10
10
10
00
00
11
10
10
01
00
00
10
00
00
10
10
01
11
10
11
00
11
10
11
00
00
10
10
10
10
00
00
11
00
01
00
11
11
01
10
00
11
10
00
01
11
10
00
10
10
00
01
00
01
01
11
01
01
00
10
11
10
00
01
10
01
00
00
01
10
10
10
10
00
00
00
10
10
00
00
10
10
01
10
10
11
00
10
01
10
10
10
00
10
00
10
00
10
10
01
11
10
10
01
01
01
11
00
01
00
10
10
10
00
10
01
11
01
01
10
00
00
00
01
10
11
10
01
00
00
00
10
00
00
10
10
10
00
10
01
00
10
10
00
00
10
10
11
01
10
00
01
00
10
10
10
01
01
11
10
00
11
10
00
00
11
11
01
11
10
00
01
11
00
01
00
10
10
10
00
00
10
00
11
11
11
00
00
10
01
00
00
00
10
10
00
00
10
11
01
01
10
10
01
10
01
01
11
10
10
11
01
11
00
00
01
01
10
10
00
10
10
01
11
10
01
01
00
00
00
00
00
01
10
11
10
10
11
01
00
00
00
11
11
10
11
00
00
00
10
10
11
00
00
00
01
10
10
01
01
10
11
10
01
01
00
11
10
00
00
00
00
10
10
01
10
10
00
00
10
00
10
10
00
00
00
01
10
10
00
10
10
01
10
10
01
10
00
01
11
00
10
01
00
00
10
10
10
00
10
00
10
00
10
10
00
10
01
11
11
00
10
11
00
01
00
00
11
11
01
00
10
10
01
10
00
00
00
11
10
11
01
00
11
00
11
00
01
10
00
00
10
10
11
00
00
10
10
10
10
00
11
01
11
11
10
00
10
10
00
01
10
01
10
00
00
01
10
11
01
01
00
00
01
10
00
00
10
11
00
11
00
11
00
00
00
10
00
00
00
00
01
10
10
00
11
00
10
11
00
00
10
00
01
01
10
00
10
10
00
00
11
11
00
00
00
11
01
10
10
01
10
10
00
00
10
10
00
11
10
10
11
11
00
11
10
00
01
00
11
10
01
01
00
01
10
01
00
00
10
10
00
00
00
10
00
11
11
00
10
00
00
10
10
10
00
00
00
00
01
01
10
00
00
01
11
00
11
11
10
10
11
10
00
01
00
00
10
10
10
11
00
00
10
11
10
11
00
00
00
01
01
10
01
00
11
10
01
11
01
11
10
10
11
11
00
00
01
11
10
11
01
10
10
10
10
10
10
00
00
01
00
00
00
00
00
00
01
00
00
11
10
10
00
11
00
10
00
01
00
10
11
11
01
00
10
10
00
11
10
01
11
01
11
11
00
10
10
00
00
00
10
10
10
01
00
01
00
01
10
00
00
10
00
01
11
10
00
01
10
01
00
00
00
00
01
11
01
00
00
11
10
11
00
00
10
01
10
11
10
01
00
01
00
10
10
00
00
10
11
01
00
00
01
10
00
10
10
10
10
11
00
10
00
00
01
00
11
10
01
10
01
00
10
01
00
10
01
10
10
00
01
01
11
10
10
00
11
01
11
00
00
10
10
10
11
01
00
00
00
10
11
00
11
10
01
01
00
00
10
01
00
00
10
00
00
11
01
11
00
10
10
01
01
00
00
11
00
10
10
00
01
10
10
10
10
10
00
00
10
11
00
01
10
00
01
01
00
10
00
00
11
10
00
10
10
01
10
00
11
01
10
00
01
11
10
10
00
01
10
00
00
10
10
00
10
00
00
10
10
00
00
10
00
10
10
01
01
11
10
01
00
00
10
00
01
10
01
10
10
11
10
10
11
00
00
10
10
00
00
10
10
00
00
11
10
00
01
00
01
11
10
10
11
11
11
10
00
00
10
10
11
11
00
11
00
11
00
00
10
00
10
01
01
11
11
10
10
00
01
10
00
00
11
00
11
11
01
11
11
10
01
10
11
10
00
00
11
10
10
01
00
10
01
00
10
00
10
10
11
00
00
01
01
01
10
10
10
10
11
10
00
00
10
01
00
10
10
00
00
01
10
10
01
01
10
11
10
00
10
00
11
01
00
11
10
10
11
00
00
00
11
10
11
01
00
11
11
01
00
10
00
01
10
11
10
00
10
01
10
10
00
00
00
00
00
11
10
00
10
11
00
00
00
00
00
10
10
11
10
01
00
00
10
00
10
10
00
10
10
00
10
00
10
01
00
11
00
01
11
10
01
01
11
11
00
01
11
10
01
10
01
00
00
01
10
00
10
11
01
11
10
00
10
10
10
01
00
11
11
01
11
10
00
10
00
00
00
10
11
01
10
01
00
01
10
10
01
00
10
10
11
10
10
01
10
10
00
10
01
00
10
11
00
00
00
10
01
00
00
00
00
00
00
10
10
01
01
10
00
00
11
10
10
01
10
00
10
10
10
11
00
11
01
00
10
10
10
11
00
01
00
00
11
11
00
00
00
10
11
10
00
10
10
10
11
11
01
10
00
10
10
11
10
01
00
11
11
10
00
01
00
10
00
01
10
00
01
10
10
10
01
10
11
10
00
01
10
01
11
01
00
01
00
00
00
10
10
10
01
11
10
11
00
10
01
00
00
11
00
00
10
10
01
00
00
10
01
00
11
00
01
10
00
10
01
00
00
00
10
10
00
01
10
00
11
10
11
00
00
10
01
10
01
10
00
01
10
00
00
00
10
00
01
10
01
00
11
10
10
01
11
11
00
00
11
00
00
01
01
10
00
10
11
10
10
01
00
10
10
10
00
11
10
01
10
10
01
00
10
10
00
01
00
01
00
10
10
01
00
10
11
01
11
00
00
10
00
10
01
00
10
11
00
10
00
00
10
10
10
01
11
00
10
01
00
00
11
11
01
01
00
00
10
00
10
11
00
00
11
11
00
00
10
00
00
10
10
11
10
00
00
01
01
10
00
00
10
10
10
00
10
10
00
10
11
01
11
00
00
00
10
11
00
10
10
00
00
00
11
11
00
10
00
01
00
00
00
10
00
10
10
01
11
00
00
00
00
10
01
10
10
11
11
11
00
01
01
11
11
00
10
11
10
00
00
00
11
10
01
00
10
11
11
10
11
10
01
00
11
00
10
00
00
10
11
00
00
10
10
00
10
10
00
10
10
11
10
01
00
00
00
11
10
10
00
00
01
00
01
10
00
00
10
00
00
00
11
10
00
00
00
10
10
10
01
10
10
10
10
00
10
00
00
01
10
11
01
00
00
10
10
01
11
11
10
00
01
00
10
01
10
10
01
10
00
00
00
01
10
01
00
00
11
01
00
10
10
01
10
10
00
00
00
11
10
11
10
00
00
10
11
01
01
10
10
00
00
11
00
01
11
01
00
10
10
00
10
01
00
10
10
10
01
10
01
00
10
00
01
10
00
11
10
01
00
00
10
00
11
10
11
01
11
00
10
01
01
11
10
00
01
11
00
10
11
00
11
10
10
01
00
10
00
00
11
11
10
00
10
00
11
00
10
10
10
11
00
00
00
01
10
11
11
10
11
00
10
11
10
00
10
00
00
00
10
11
00
00
00
01
11
00
01
11
10
01
10
11
00
11
10
00
00
10
10
00
10
11
10
00
10
10
01
11
10
10
00
10
11
00
00
00
00
10
10
10
10
01
00
11
00
00
10
10
00
01
00
00
00
10
10
01
11
01
10
01
10
10
11
10
00
00
10
10
10
00
00
00
00
01
10
00
10
01
01
11
00
10
00
10
00
11
00
00
10
11
10
10
00
01
00
11
00
00
00
11
01
00
10
10
00
11
00
01
10
10
00
00
00
00
10
11
10
10
00
10
10
11
10
10
11
10
10
01
10
10
01
00
11
11
00
11
10
00
00
11
01
01
10
11
10
10
00
00
01
10
00
00
11
10
00
10
11
10
01
00
00
11
10
00
01
10
11
10
00
11
10
10
10
10
00
11
10
00
01
10
00
01
11
11
10
00
01
10
00
10
11
01
01
00
00
11
00
01
10
10
00
00
10
11
10
11
00
00
00
11
10
01
01
10
10
10
00
00
01
10
10
01
11
11
01
10
11
01
10
11
00
01
11
10
11
00
01
11
00
01
10
11
10
00
00
10
11
00
00
10
00
11
00
10
11
01
10
10
10
10
01
01
01
00
10
10
10
00
10
10
00
11
00
10
10
10
10
10
10
00
00
10
11
01
00
11
00
00
01
10
11
00
11
00
00
10
10
01
00
01
11
10
01
10
10
01
00
10
11
00
01
00
00
00
00
11
10
10
00
10
00
00
10
10
00
00
01
01
10
10
10
01
00
11
00
11
10
10
10
00
00
10
10
00
11
10
01
00
10
10
10
10
00
11
00
01
00
01
11
00
10
10
01
00
10
10
11
00
00
00
00
10
10
10
00
00
10
00
00
10
11
00
11
10
10
10
01
10
10
10
00
00
01
10
01
01
01
11
10
10
10
01
00
01
00
01
10
00
00
10
10
00
00
00
00
00
10
10
00
00
10
11
01
10
00
11
10
01
00
00
00
11
01
10
10
00
10
11
10
10
10
10
01
01
00
01
01
00
11
11
10
10
00
01
10
00
00
01
10
10
10
10
00
00
11
01
00
10
11
00
11
10
00
01
00
00
01
11
10
10
00
10
00
00
11
00
10
10
11
10
01
11
10
10
10
11
01
10
00
11
10
01
00
10
00
00
10
01
01
10
11
00
00
10
10
00
01
00
11
00
10
10
00
01
10
10
00
00
10
10
00
01
10
11
00
10
10
11
00
10
10
00
11
10
01
00
00
10
01
10
11
00
01
10
10
00
00
01
11
01
00
01
00
00
10
00
11
10
00
00
00
11
10
00
11
10
00
01
00
00
01
00
11
00
10
11
01
10
10
00
01
10
11
00
00
00
11
11
01
11
10
00
01
10
00
11
11
10
10
00
10
00
00
10
10
10
11
00
00
10
00
10
00
01
01
11
10
10
11
10
01
10
10
00
00
10
01
10
10
10
00
01
00
00
00
10
10
00
10
11
00
11
10
00
10
00
10
10
11
00
01
11
00
10
10
00
10
01
10
10
10
10
10
10
00
00
00
00
10
10
00
00
00
00
00
00
01
00
10
01
00
11
10
10
00
00
11
10
00
01
10
10
01
10
10
10
01
10
00
01
10
10
01
00
10
10
00
11
00
10
01
00
10
10
01
00
00
11
10
10
10
10
10
00
10
00
01
01
00
11
01
00
01
11
10
01
00
10
00
01
10
00
11
11
00
11
10
01
00
11
01
10
00
00
11
10
11
00
10
10
00
01
11
10
00
00
01
11
10
00
11
10
01
10
00
10
00
11
10
00
11
10
00
10
10
00
01
11
10
10
11
00
00
00
00
10
11
11
10
10
01
00
01
01
00
10
10
00
10
01
00
00
01
11
01
01
10
10
01
10
10
10
01
01
10
10
10
01
01
10
00
10
00
01
00
11
00
00
10
10
00
01
10
10
01
10
01
00
01
10
00
00
00
10
11
10
01
10
10
11
11
01
00
10
11
00
10
01
01
11
10
00
10
00
10
00
01
10
10
00
01
01
10
00
00
10
10
01
00
01
11
00
10
10
10
00
10
10
01
10
00
00
10
00
01
10
11
00
01
10
10
00
01
11
11
01
00
10
00
01
00
10
10
00
10
11
10
11
11
00
01
11
11
00
00
10
00
00
10
10
00
00
01
11
11
00
01
00
11
10
00
00
10
10
01
01
10
11
00
10
00
00
10
11
11
01
00
10
10
10
00
10
00
01
01
10
10
00
00
10
10
01
10
01
00
10
01
10
00
00
10
10
10
11
01
10
10
10
01
00
11
00
10
10
00
00
10
01
00
00
00
10
10
10
11
11
11
01
01
00
00
10
10
00
01
10
11
10
00
00
00
00
01
10
10
00
00
10
00
10
10
00
00
10
00
00
00
00
11
11
10
00
11
10
10
00
00
11
11
11
10
00
11
10
00
11
00
00
10
00
01
00
11
10
00
00
11
11
01
01
10
00
00
10
10
10
00
01
01
10
00
00
10
10
11
01
10
10
10
10
00
00
00
10
00
10
10
00
10
11
10
11
10
10
00
00
00
00
10
11
10
01
10
00
11
01
01
10
00
00
10
00
01
10
11
00
10
00
00
10
01
10
11
00
00
11
10
00
00
00
10
10
00
10
10
00
00
10
11
00
10
11
10
00
00
01
00
11
00
11
01
00
00
10
10
00
00
00
10
10
11
10
10
10
01
00
10
00
01
10
00
11
11
00
00
00
10
10
01
00
00
00
10
10
10
01
01
00
00
00
10
10
11
11
11
00
11
11
10
00
01
10
10
11
00
00
10
10
11
01
00
11
01
11
01
00
11
10
00
01
00
11
11
00
00
11
01
00
00
10
10
00
00
10
11
00
00
10
10
01
11
00
00
11
00
10
01
10
10
01
11
10
10
00
11
00
10
00
00
10
10
00
11
01
00
01
00
00
00
10
10
00
11
01
00
11
10
00
10
10
01
00
10
11
00
11
00
00
10
00
00
01
00
10
00
00
00
01
10
01
10
10
00
00
00
11
11
01
10
10
00
00
10
10
00
11
00
00
00
10
00
10
11
10
00
01
00
00
00
10
10
10
11
01
00
10
00
11
10
00
11
11
00
11
00
11
00
10
00
00
10
10
10
10
10
11
10
01
11
00
00
00
01
01
00
11
10
10
01
00
00
00
11
10
11
00
00
01
00
10
10
11
01
00
00
01
11
01
00
00
10
00
11
00
11
11
01
10
10
00
11
10
00
10
00
10
00
10
11
00
10
10
11
10
10
00
00
10
10
01
00
00
01
00
00
00
01
10
10
11
10
00
01
00
11
11
00
01
10
00
00
00
10
01
10
11
10
00
01
11
01
00
00
10
00
01
10
00
00
11
10
01
10
01
10
10
00
10
10
01
10
10
00
00
10
00
00
00
01
10
10
10
11
01
10
01
10
00
11
10
00
11
00
10
00
00
01
11
00
00
11
11
00
10
10
10
11
00
00
00
10
10
10
00
10
00
00
01
10
00
10
10
00
10
00
00
01
10
10
00
01
10
00
00
01
00
10
11
00
10
01
01
10
11
00
00
10
11
00
00
10
10
11
10
10
00
10
01
00
00
11
00
11
00
11
01
01
00
10
10
01
10
10
00
00
00
11
10
00
00
00
00
11
00
00
00
00
10
00
00
10
11
10
11
00
10
00
00
11
00
11
10
10
01
01
00
10
00
10
00
00
01
10
11
10
11
00
10
11
10
00
10
00
00
01
00
11
11
00
00
11
00
11
01
00
11
00
10
10
10
00
00
00
10
11
00
11
01
10
10
10
00
00
00
01
00
01
11
11
10
10
10
10
00
00
00
10
10
00
01
11
10
00
00
00
01
01
11
11
01
10
01
10
01
01
00
11
10
00
00
10
11
00
11
11
11
00
01
11
11
10
01
10
10
11
00
00
10
00
01
00
01
00
00
11
10
10
00
10
10
00
00
11
11
00
00
10
00
00
10
00
01
00
01
10
00
10
10
00
00
01
11
10
01
00
00
01
00
11
01
00
10
01
10
00
11
10
00
00
10
11
00
01
11
01
10
11
10
00
11
01
00
01
01
10
00
01
10
00
00
00
00
10
10
10
00
10
10
01
00
10
01
01
00
11
11
00
10
00
00
10
10
00
10
01
00
10
01
01
10
01
01
10
00
00
11
00
00
00
01
11
00
11
10
00
01
00
00
00
00
11
00
01
10
00
00
10
10
10
00
00
11
00
10
11
10
00
10
10
00
00
11
01
01
01
10
11
10
01
10
00
01
10
10
01
11
11
10
11
00
01
10
00
10
11
01
11
01
00
10
00
10
00
10
10
10
00
10
01
01
10
10
10
10
10
10
10
00
00
00
11
00
11
10
10
01
00
00
10
01
00
01
11
00
00
11
00
10
00
00
10
11
00
10
10
11
10
00
00
00
00
10
11
01
00
10
10
11
10
10
00
01
10
11
00
10
01
00
10
10
00
01
01
10
10
10
11
00
10
00
00
11
10
00
00
00
10
11
11
00
11
10
00
00
01
10
00
01
00
00
10
00
01
11
10
10
10
00
10
10
00
01
10
00
11
10
00
00
10
10
00
00
11
01
00
10
11
11
10
01
01
10
10
10
00
01
10
10
11
10
00
10
01
01
10
10
00
10
10
01
01
11
10
01
00
11
00
00
11
10
11
00
00
00
01
10
00
10
10
11
00
10
01
01
10
10
10
10
10
00
11
00
10
10
00
10
11
00
01
10
10
00
01
00
10
01
00
11
10
01
11
00
00
11
10
00
00
10
10
01
00
11
00
00
10
00
00
01
10
10
10
10
00
11
01
00
00
10
10
10
11
00
10
00
01
10
01
00
10
00
00
10
10
11
01
00
10
10
00
01
10
10
10
00
00
11
01
01
11
00
10
01
11
11
00
00
10
00
00
11
11
01
00
00
00
11
01
10
10
10
00
01
11
10
00
11
10
00
10
10
00
01
10
11
11
11
10
00
10
00
00
00
01
11
10
00
10
10
00
00
10
10
00
00
10
00
00
11
00
10
10
00
00
11
00
00
11
01
01
11
01
01
10
11
11
11
00
10
01
00
10
01
11
10
10
00
11
00
00
10
10
11
00
10
00
01
10
10
10
11
01
10
10
00
11
00
00
10
00
01
10
01
00
01
10
11
00
00
10
10
10
00
00
10
10
10
11
11
11
00
10
11
11
10
10
01
00
10
10
10
10
10
11
10
01
00
11
00
00
01
10
10
00
00
10
10
10
00
00
10
11
10
10
00
10
10
11
10
01
00
00
00
01
01
00
10
10
10
00
11
00
11
10
00
11
00
10
00
00
10
10
10
10
10
10
00
10
01
10
00
01
10
10
00
11
00
10
11
10
10
11
10
00
00
00
11
00
00
00
01
00
01
11
10
00
00
00
00
00
01
00
11
10
10
10
10
10
01
00
11
11
10
11
00
10
01
10
01
00
10
10
10
10
01
00
10
01
01
11
01
11
11
00
11
10
00
01
10
01
01
01
10
11
10
01
10
10
10
01
00
11
00
00
10
10
00
10
11
00
01
00
01
00
00
10
01
00
00
00
10
11
10
11
10
01
10
11
10
01
00
00
10
10
00
00
00
00
10
01
10
11
10
10
10
11
11
00
00
10
11
00
10
11
00
10
11
10
01
10
11
01
10
00
00
00
10
01
10
10
11
00
00
10
00
10
01
00
00
01
00
01
11
01
11
01
01
00
01
00
10
10
00
00
11
10
00
00
10
00
00
10
10
10
11
10
10
10
00
01
00
01
00
10
00
01
10
11
00
01
10
11
11
01
11
11
10
01
10
11
00
01
11
10
00
01
11
11
11
00
11
11
00
10
01
11
11
00
00
11
00
00
00
10
10
01
10
01
10
10
01
00
10
00
00
11
10
01
11
00
00
01
00
00
00
00
11
11
00
11
00
00
10
01
00
11
10
01
00
00
01
00
10
11
00
01
00
01
11
10
10
00
10
00
10
10
01
00
10
10
00
00
10
10
01
00
10
10
10
00
00
11
01
11
11
00
10
00
01
00
00
10
10
00
00
00
00
01
00
01
11
01
00
10
00
00
11
01
01
10
10
10
00
10
10
00
00
10
00
10
00
01
11
00
11
00
10
10
01
00
11
11
00
00
01
10
10
10
01
00
11
00
00
00
10
00
10
10
01
10
01
00
10
00
00
10
00
01
11
10
01
01
01
10
00
01
00
10
10
10
00
10
10
10
01
00
01
01
10
01
00
01
11
11
00
11
11
10
11
10
10
00
01
01
10
00
01
10
01
00
11
01
11
01
11
10
01
01
11
00
00
10
01
10
10
11
01
00
10
11
01
10
10
11
10
11
10
10
01
10
00
01
10
11
10
01
00
10
00
11
11
00
01
10
11
10
11
00
10
10
01
01
00
11
11
00
10
00
00
10
10
11
00
00
10
10
00
00
11
10
00
00
10
00
11
11
10
11
00
10
10
11
11
10
00
00
00
10
10
01
10
00
00
10
10
00
01
00
10
01
01
10
01
10
11
01
01
10
10
00
00
11
10
00
01
10
10
10
11
00
00
10
10
10
00
00
00
00
00
00
00
11
11
00
11
10
00
10
00
00
10
10
00
00
10
10
01
10
11
00
10
01
00
01
11
00
11
10
10
10
10
00
00
01
10
10
11
00
00
11
00
10
00
00
10
00
11
00
10
10
10
11
10
01
00
10
11
00
01
01
10
11
10
10
10
00
01
00
11
11
00
10
01
11
10
10
00
00
10
11
11
00
10
11
10
10
00
00
10
11
10
11
10
00
00
11
10
01
00
10
00
01
11
10
00
01
01
00
10
00
00
00
10
10
11
00
11
01
00
11
10
11
10
00
01
10
00
01
00
11
11
00
01
10
11
10
00
00
00
01
10
10
00
00
10
10
00
10
10
10
00
00
00
01
01
01
10
01
10
11
10
01
00
10
10
00
10
10
10
00
11
11
01
11
10
01
11
10
11
00
00
11
00
10
00
01
10
11
11
10
00
00
01
00
00
01
10
10
10
10
00
10
01
00
00
01
00
11
10
01
10
00
01
11
01
00
00
11
01
00
00
10
10
00
10
00
00
10
11
10
10
11
11
11
00
00
11
11
00
11
00
00
10
10
01
10
11
01
00
11
00
10
00
00
10
10
00
00
01
10
01
10
10
01
10
10
11
00
10
10
01
10
01
11
01
00
10
00
00
10
10
10
11
01
00
00
10
10
00
10
00
01
10
10
10
11
00
00
00
10
10
10
10
00
10
00
00
00
00
11
00
01
00
10
01
00
00
00
10
10
10
01
00
11
01
10
01
01
01
10
11
11
00
00
00
00
11
01
01
10
10
10
01
10
11
10
01
00
10
10
00
00
11
01
01
01
10
10
00
00
10
00
01
11
00
00
11
01
11
10
01
11
00
00
10
10
00
11
11
11
10
10
11
10
01
00
00
11
11
10
10
01
01
01
01
11
00
01
11
10
11
01
11
10
11
00
00
01
10
10
11
00
00
00
10
00
10
01
01
00
11
10
10
00
11
00
00
00
11
10
00
01
00
11
10
10
00
10
10
00
00
00
11
10
11
10
10
00
10
00
10
01
00
10
00
10
11
11
00
10
10
01
00
01
00
10
11
00
01
01
01
10
00
10
10
01
11
10
00
00
10
10
11
00
01
00
11
10
10
11
11
00
00
10
00
00
11
01
11
10
11
10
10
01
00
11
10
10
10
01
00
01
00
11
00
10
00
00
01
10
10
00
10
01
10
10
00
00
00
10
01
00
10
11
10
01
01
11
10
00
10
01
01
10
11
10
11
00
00
00
10
10
00
01
11
00
10
10
10
00
10
11
10
00
00
00
00
00
10
01
01
11
00
10
11
10
10
00
00
11
10
00
00
10
11
11
10
11
10
00
11
00
00
00
11
01
00
11
00
11
00
10
10
01
10
11
11
00
00
10
00
10
11
10
01
10
10
00
11
10
01
00
11
00
10
00
00
00
10
00
00
10
10
00
00
00
00
11
10
10
11
11
01
00
00
11
10
00
10
10
00
00
00
00
10
10
11
01
10
00
00
10
10
10
00
00
11
10
00
11
11
10
01
00
00
01
10
01
10
00
10
11
10
00
00
10
00
11
10
00
10
11
01
00
00
01
10
11
11
01
10
10
01
10
00
00
10
11
10
01
00
01
10
10
10
00
00
10
00
00
01
11
11
10
10
01
10
11
10
11
00
01
10
01
01
00
10
10
00
00
10
10
00
10
00
10
01
00
10
00
00
00
10
10
00
11
00
01
00
00
11
11
00
10
10
00
10
00
10
11
00
01
01
10
01
01
00
00
10
10
10
00
00
10
10
01
11
10
01
01
00
01
00
11
00
11
10
00
01
10
10
01
00
10
11
01
01
10
11
00
10
10
00
11
11
10
00
00
11
01
10
10
01
01
01
00
10
11
10
01
01
11
10
11
01
11
10
00
10
10
10
10
00
01
10
00
10
10
10
00
00
10
00
10
11
01
10
00
11
11
00
00
10
01
10
01
00
10
10
00
00
00
10
10
11
11
10
10
00
10
11
11
01
10
00
01
00
00
11
00
01
10
11
10
11
11
10
00
01
00
10
01
00
00
00
11
10
01
00
10
10
00
10
00
00
11
10
10
01
00
10
11
00
01
11
11
00
10
00
00
10
10
00
00
10
01
11
01
00
10
00
10
11
10
01
00
10
10
00
01
01
10
01
01
11
10
00
10
01
10
10
01
00
01
10
10
11
00
01
00
00
01
11
10
00
11
10
11
00
10
10
00
11
00
11
00
01
10
11
10
10
10
00
00
00
00
10
10
00
01
01
10
10
10
01
01
01
11
10
10
01
00
10
00
01
10
11
00
00
10
10
11
01
00
11
00
00
00
10
10
01
11
10
01
00
00
10
10
01
10
10
00
00
00
01
10
10
10
11
11
10
10
00
00
00
00
10
01
00
01
10
01
00
00
10
00
10
00
01
11
11
10
00
11
10
10
00
01
00
11
00
11
10
00
00
10
01
01
10
00
10
10
00
01
10
10
10
10
01
00
00
00
11
10
10
11
00
01
11
10
10
01
01
11
10
00
00
00
10
00
10
11
10
00
01
10
11
10
00
10
00
00
10
10
01
11
10
00
10
00
10
00
00
00
10
10
00
00
10
10
10
00
10
10
00
10
01
00
00
10
10
00
10
00
00
10
10
00
10
11
00
00
10
10
11
00
11
00
01
10
01
11
10
01
00
10
10
01
00
11
01
11
01
00
00
00
10
11
00
01
10
10
01
01
11
01
11
11
10
01
01
11
00
00
10
00
00
10
11
01
01
10
00
10
01
11
00
00
10
10
01
10
01
10
11
10
11
01
00
11
11
11
00
10
01
00
00
10
11
01
00
00
11
10
00
10
00
01
11
00
00
10
11
10
00
10
00
00
11
00
10
10
00
01
00
01
00
10
10
10
10
10
01
01
10
00
10
10
11
00
00
11
00
00
10
10
01
11
01
00
00
10
00
00
11
11
01
10
11
10
00
00
00
01
10
00
10
11
01
10
10
10
00
10
01
01
00
00
00
00
00
10
11
10
00
00
00
01
00
11
00
10
00
01
10
01
00
10
11
11
10
01
10
10
00
10
11
00
10
01
10
11
00
00
00
00
10
10
10
11
10
10
01
11
00
00
11
00
01
00
00
01
01
00
01
00
10
00
10
11
11
01
00
10
10
00
10
10
01
00
10
10
00
00
00
00
10
11
10
11
10
10
00
10
00
00
10
10
00
10
10
00
10
10
01
11
10
10
10
10
00
00
10
10
00
01
00
00
11
10
10
00
00
11
01
00
10
11
11
00
01
00
00
10
11
01
00
11
10
11
00
10
00
00
10
10
00
00
00
10
11
10
01
00
10
01
01
10
10
10
01
01
00
00
11
10
01
00
00
10
11
00
10
00
01
00
10
10
11
01
01
10
11
10
00
10
00
00
10
11
00
00
00
10
00
00
01
00
00
10
11
10
00
10
10
10
00
11
11
10
10
01
01
00
10
11
01
00
01
10
10
10
10
00
00
10
10
10
11
01
01
00
11
11
00
11
00
00
00
00
10
11
10
00
11
00
10
10
01
00
11
10
00
10
10
10
10
00
00
10
01
10
00
11
01
01
00
01
00
01
01
00
10
11
00
10
01
00
10
00
10
10
11
01
00
11
10
00
10
00
11
00
00
10
10
00
10
11
11
11
00
10
11
11
00
00
10
00
10
01
01
11
10
00
11
00
01
10
11
01
01
10
01
01
00
10
00
00
00
01
11
10
10
10
00
11
01
10
10
10
10
00
00
10
00
11
10
00
10
00
01
11
11
00
01
11
10
01
00
00
10
11
01
01
11
10
10
00
10
10
01
00
10
00
11
00
10
11
11
11
11
00
00
11
10
01
10
11
01
01
00
10
01
01
10
11
10
00
00
01
10
10
00
00
00
10
10
00
00
00
01
00
00
00
00
00
10
00
10
00
10
10
01
10
00
10
11
01
11
00
00
00
10
11
10
11
00
00
10
00
11
10
00
10
10
00
00
10
00
00
00
00
00
00
11
10
00
01
01
10
10
00
00
00
01
11
11
00
10
00
01
00
00
00
10
00
10
10
10
10
10
00
01
00
11
00
00
10
11
00
01
10
10
00
01
00
10
11
00
01
00
00
10
00
00
10
00
01
11
00
00
10
11
11
11
10
10
10
00
10
01
01
10
00
10
00
11
01
01
10
10
11
00
11
10
00
00
10
11
10
00
00
10
10
11
00
10
00
10
00
00
10
01
11
11
11
01
01
10
00
10
11
00
00
11
10
00
10
00
00
01
11
11
10
10
00
11
01
00
11
10
00
11
10
10
00
01
10
00
01
00
00
11
10
01
00
01
01
11
10
00
00
11
10
01
00
10
11
10
01
10
10
00
01
10
00
00
10
10
10
11
11
00
01
01
00
10
00
11
00
01
10
10
10
01
00
00
11
11
01
10
10
01
00
11
10
10
10
11
11
00
00
11
10
11
10
00
10
01
00
10
00
00
01
00
11
10
10
00
01
00
01
00
01
10
00
10
11
00
11
10
00
10
11
00
10
10
11
10
01
00
01
10
10
00
11
10
01
11
11
00
00
00
00
10
10
00
00
00
10
10
00
11
10
00
10
10
00
10
00
10
10
00
01
01
10
10
00
01
10
01
01
10
10
00
00
10
10
01
11
11
01
11
01
00
00
00
01
10
10
01
11
01
00
11
10
01
01
01
00
00
11
10
11
11
01
10
10
00
01
01
10
01
00
00
00
00
01
10
01
01
11
01
00
10
10
01
00
00
11
10
10
10
00
11
10
11
00
11
00
00
11
01
00
11
11
00
01
10
11
10
11
00
00
10
10
11
00
10
11
00
10
11
11
00
00
11
10
10
01
10
01
00
10
00
10
01
00
00
10
00
10
01
10
10
00
00
11
11
11
00
01
11
00
00
11
11
01
10
01
10
01
00
10
11
00
10
10
01
01
10
10
00
00
00
10
11
10
11
00
00
00
11
01
01
00
11
00
10
01
00
11
11
01
01
10
00
00
11
10
11
00
01
10
00
00
00
00
11
00
01
00
10
01
01
10
11
01
00
01
00
10
10
00
00
10
10
00
00
10
10
11
10
10
01
00
01
10
01
10
00
00
10
00
01
10
10
10
00
11
10
11
00
00
00
01
10
10
00
10
11
11
11
01
10
01
10
01
10
10
01
00
00
10
10
00
01
01
10
10
10
10
11
11
00
00
11
00
00
11
01
10
10
00
00
10
10
10
01
00
00
10
00
10
10
11
11
00
10
01
00
10
01
10
10
10
11
01
00
10
01
00
00
10
10
00
10
11
10
00
00
00
10
10
11
01
10
11
10
01
00
01
00
10
11
10
10
00
11
00
00
10
10
01
01
11
10
00
00
11
00
10
00
00
11
00
10
10
00
00
10
10
00
11
11
00
00
00
10
10
00
11
10
00
11
10
00
01
10
10
11
00
10
01
10
10
01
10
10
11
01
10
00
11
10
10
10
11
00
10
10
00
10
11
00
11
00
00
00
00
00
01
01
10
00
01
11
01
00
00
01
00
11
11
10
01
10
00
10
00
00
10
00
00
10
01
00
10
10
10
00
10
10
00
01
00
00
10
01
10
11
11
00
00
10
10
10
10
00
00
10
10
00
00
11
00
11
11
10
00
00
00
01
10
00
10
11
10
00
11
11
00
01
11
01
11
00
10
10
10
00
00
11
10
00
01
10
10
00
00
01
10
00
00
00
10
11
10
10
11
10
00
01
10
00
00
00
01
11
11
01
10
10
11
10
11
10
01
01
11
00
10
10
11
00
00
11
10
01
10
01
11
10
11
11
10
01
00
10
10
10
00
00
11
00
00
11
10
01
01
10
11
11
00
00
10
01
00
01
11
10
10
10
00
00
00
11
11
00
10
10
10
11
11
00
10
01
11
10
01
10
10
01
10
01
01
10
11
00
00
11
10
00
01
10
11
11
01
11
11
11
10
00
00
11
01
00
10
11
01
10
10
10
10
01
01
01
11
10
11
11
00
10
11
00
01
10
10
00
11
10
01
11
11
11
01
11
00
00
11
00
01
10
10
00
10
00
00
01
10
11
10
11
00
01
10
00
00
10
00
01
10
00
10
10
01
11
10
10
01
10
00
00
10
11
01
00
10
01
11
00
00
10
11
10
01
10
10
00
10
10
10
11
00
00
01
00
00
01
00
10
10
11
00
01
10
11
10
00
10
10
10
01
10
00
10
11
00
01
10
11
00
00
11
10
00
01
10
10
10
00
00
01
10
00
10
00
00
01
10
10
11
00
00
10
11
10
00
00
10
10
11
11
00
10
01
10
11
00
00
10
01
11
00
11
10
00
10
11
00
01
10
11
10
10
01
11
10
00
00
10
00
00
10
11
01
11
01
00
10
00
10
10
00
01
10
10
11
10
00
10
01
10
01
10
10
10
00
01
01
11
10
11
00
00
00
00
10
10
00
10
11
01
00
11
10
00
11
00
00
00
00
10
01
01
11
10
11
10
00
01
10
00
01
01
10
11
10
10
11
00
01
10
10
00
00
01
10
10
10
00
10
00
11
00
11
01
11
10
10
10
10
01
00
00
10
01
00
00
10
00
11
00
00
10
10
01
00
01
11
10
11
10
11
00
10
11
11
01
00
10
00
00
11
10
10
01
00
10
10
11
00
10
01
01
10
00
10
10
10
10
00
01
10
00
10
11
00
10
10
00
01
10
00
10
01
11
11
10
11
11
00
10
11
01
11
01
10
01
11
10
00
01
00
11
00
00
10
10
00
00
01
10
00
10
10
01
01
10
11
00
00
11
10
10
01
11
00
00
11
10
10
11
00
01
00
11
00
11
10
10
00
10
01
11
00
10
00
11
00
10
00
01
11
11
11
01
10
00
00
10
10
01
00
10
11
01
00
11
01
00
10
00
00
10
10
00
01
11
10
00
00
10
11
01
00
10
10
01
10
11
00
11
00
00
10
01
10
10
10
01
00
00
10
10
00
00
10
10
10
00
01
00
01
10
10
10
10
11
01
01
11
10
10
10
11
00
10
11
00
00
00
00
10
11
00
10
11
01
10
10
10
00
01
10
11
11
01
01
11
11
10
00
00
10
00
00
10
10
10
01
00
10
00
01
00
10
10
00
00
00
10
11
10
01
00
00
00
11
10
11
10
00
10
01
00
00
00
10
00
01
10
11
11
00
10
10
01
00
01
10
11
01
00
10
10
10
00
11
00
01
10
00
10
10
11
00
00
10
11
00
10
10
00
00
11
10
10
00
10
00
11
00
00
01
00
00
00
10
10
10
01
10
11
10
00
10
10
00
00
00
10
11
10
10
00
11
10
11
00
11
00
00
01
01
11
11
00
00
10
10
10
00
01
10
01
11
11
00
01
00
10
00
10
01
10
01
00
11
00
10
00
01
10
10
10
00
01
01
11
10
10
10
11
01
01
11
00
11
10
00
10
01
00
01
01
00
01
00
00
00
11
10
10
01
00
01
10
00
11
10
00
10
00
00
11
10
00
00
10
10
01
00
00
00
10
10
10
11
01
10
10
01
10
00
10
10
00
00
11
01
10
00
11
10
10
10
01
00
01
00
10
10
00
00
10
01
00
00
10
00
10
00
10
10
00
01
10
10
00
00
00
00
00
10
00
00
10
01
00
10
10
10
01
10
10
10
00
01
01
10
11
00
00
11
10
00
11
10
00
00
10
10
00
01
11
01
10
01
11
10
11
01
00
00
01
10
01
01
10
01
00
11
01
10
01
00
10
10
10
01
01
00
11
10
00
00
00
11
01
10
00
01
00
10
00
11
11
11
00
10
11
10
10
10
00
00
10
00
01
11
01
10
01
00
00
00
00
10
11
01
00
10
10
10
10
11
01
01
00
10
01
01
00
00
10
11
00
10
10
11
01
10
00
01
01
10
10
11
00
11
01
00
10
10
10
00
00
11
01
10
00
01
10
00
00
10
10
10
00
10
10
10
00
10
10
11
10
11
10
10
01
00
00
10
10
00
10
11
10
00
00
10
01
11
00
01
10
11
01
00
10
00
00
00
10
10
11
01
11
01
00
11
10
10
00
01
10
00
00
10
10
10
00
00
10
11
00
01
11
10
00
10
00
11
11
10
11
10
11
01
10
00
00
00
00
00
10
11
01
01
11
10
00
00
00
01
11
10
00
00
11
00
01
10
11
10
11
00
10
11
00
10
11
01
00
11
00
01
00
00
00
00
11
10
10
00
00
10
00
10
11
11
01
01
10
10
00
10
00
10
10
00
01
00
01
10
00
11
01
10
10
00
10
01
01
00
00
00
10
10
00
10
01
10
11
00
11
00
10
11
10
01
01
11
11
10
01
10
01
01
00
11
01
11
10
10
00
01
00
10
10
00
10
10
01
00
11
00
00
10
00
11
00
00
11
10
01
00
00
01
10
10
01
00
11
10
01
10
01
01
00
11
10
11
01
01
10
10
11
00
10
10
01
10
10
00
00
10
01
10
11
00
11
10
00
00
10
00
10
00
00
10
00
00
10
10
01
10
01
10
00
00
10
10
00
10
10
10
00
00
00
00
01
10
01
00
00
11
01
10
10
00
00
00
00
11
00
10
00
00
11
11
01
01
00
10
11
00
00
11
10
10
01
00
00
10
00
10
01
01
10
11
00
10
11
10
00
00
11
11
01
00
11
11
00
10
00
11
00
01
00
10
10
10
10
01
01
11
11
11
11
11
10
11
00
01
10
00
01
00
10
10
10
00
10
10
00
10
00
11
01
00
11
00
00
00
10
01
11
10
00
00
10
01
10
11
10
01
00
00
00
10
11
01
00
10
00
11
01
00
11
00
11
00
00
11
00
00
01
11
10
00
00
11
01
00
10
00
11
10
01
10
00
10
00
01
10
10
00
10
11
01
01
01
10
11
10
00
00
10
10
01
00
11
10
10
01
10
10
01
11
11
01
11
01
01
11
10
00
10
11
00
00
10
10
00
10
00
00
00
00
10
11
10
10
10
10
00
10
00
11
00
10
00
00
10
11
11
00
10
10
00
10
01
00
11
00
10
01
11
01
10
11
01
11
10
11
10
01
00
10
01
00
10
11
00
11
10
00
01
00
10
01
00
10
10
00
00
00
01
01
10
10
10
00
00
01
00
10
00
00
10
10
00
00
10
10
11
01
01
00
00
10
10
01
00
10
10
10
00
01
00
10
11
00
11
00
10
10
00
00
10
00
00
10
10
00
11
10
01
10
00
10
00
10
01
00
11
11
00
00
11
01
00
10
10
10
01
10
01
00
00
00
11
00
01
10
01
00
10
01
00
00
10
10
00
01
00
10
10
01
10
00
01
00
11
11
10
11
10
01
00
10
11
01
00
10
10
00
00
00
10
11
00
01
00
00
10
00
11
11
01
00
00
10
00
00
00
11
10
00
10
11
01
11
00
10
00
00
00
10
00
01
11
11
11
11
10
01
11
10
10
00
00
10
10
01
00
10
10
10
11
10
11
10
01
01
11
10
10
10
00
11
10
11
00
01
10
00
01
10
10
00
00
00
11
00
11
10
11
10
00
00
10
01
01
10
00
00
10
10
00
10
10
10
11
10
00
01
11
10
00
11
10
01
11
10
01
10
01
00
01
10
00
10
10
01
00
00
11
00
00
11
10
01
00
10
01
01
01
10
10
01
10
00
01
10
10
00
01
10
10
10
01
00
10
10
10
00
11
10
10
11
00
10
11
10
00
00
00
10
10
00
11
10
00
11
10
11
10
00
00
11
00
01
00
11
10
11
10
00
00
10
00
10
10
00
00
11
11
00
01
11
01
10
11
00
11
10
00
10
11
10
10
00
00
11
01
01
00
00
10
10
10
00
10
00
00
01
11
10
11
11
10
10
10
00
01
10
00
10
11
01
00
10
10
10
01
10
11
00
00
10
01
00
00
00
11
00
11
11
11
10
00
00
11
11
00
10
10
10
00
00
10
10
00
00
01
00
10
01
10
00
00
01
10
10
01
11
00
10
11
10
01
00
11
11
00
01
01
01
10
00
01
00
10
10
00
00
00
11
10
00
00
00
11
10
10
01
00
10
00
11
10
00
10
10
00
10
00
10
01
00
11
10
00
01
00
00
10
11
10
01
10
10
11
00
00
00
01
11
10
01
01
00
10
10
00
11
10
00
00
00
01
01
10
11
11
10
01
00
10
00
11
00
11
11
00
00
00
10
00
10
10
00
00
00
10
10
01
11
10
01
10
00
11
01
10
10
10
01
11
10
11
01
11
01
11
01
10
10
00
10
01
10
00
00
11
01
10
10
00
10
01
11
10
00
00
10
00
10
11
11
10
01
10
00
00
10
10
00
10
11
00
00
10
00
10
01
00
00
10
10
00
00
00
10
10
00
00
11
00
11
01
10
10
00
00
10
11
01
00
10
00
10
10
01
11
00
00
00
10
11
11
11
00
10
00
10
10
00
01
10
10
01
11
10
00
00
00
10
10
01
01
11
11
00
10
01
11
10
00
01
10
00
10
11
00
10
01
11
11
01
01
10
10
01
00
00
10
11
01
10
10
00
01
00
01
10
00
00
10
11
00
00
10
10
10
01
11
10
00
11
00
10
10
11
01
00
01
00
11
00
00
10
00
10
11
10
00
00
10
00
10
01
10
11
00
00
01
00
10
00
01
11
10
00
11
10
10
10
01
11
11
00
00
00
11
10
00
10
10
01
01
00
11
11
00
10
11
00
01
00
00
10
10
00
11
10
01
00
10
00
00
01
10
01
01
10
10
10
01
10
00
10
10
11
00
00
10
10
00
11
10
01
00
10
10
11
00
10
10
01
10
00
00
10
01
00
00
11
10
10
00
00
10
00
10
10
00
00
01
00
00
10
11
00
11
10
10
10
00
10
10
01
00
11
11
11
10
01
10
10
00
00
10
01
00
10
11
01
10
11
10
10
10
00
00
11
00
01
00
00
01
10
00
00
01
10
10
00
10
10
00
10
11
00
11
01
00
10
11
00
00
11
00
01
10
10
00
00
00
11
10
00
00
10
10
00
01
00
00
11
00
10
10
00
10
10
00
10
00
01
11
10
00
01
10
01
00
10
10
00
10
11
00
00
10
10
10
01
00
10
01
01
00
11
01
10
10
00
00
11
11
00
01
00
01
10
10
10
11
00
01
10
10
10
00
10
10
10
00
01
10
11
10
00
00
00
01
01
00
11
10
00
00
11
10
00
00
10
10
00
01
11
00
10
10
00
01
00
10
11
01
01
11
10
00
01
11
11
00
00
10
00
00
10
11
00
10
11
11
10
01
00
00
10
00
00
10
00
01
10
11
10
10
11
10
10
00
00
00
10
11
11
10
00
10
11
01
00
00
00
00
10
00
11
01
00
10
11
10
11
11
10
00
00
11
11
10
00
00
10
01
11
00
10
01
10
10
10
01
01
01
11
11
00
01
11
10
01
00
10
11
01
01
00
11
10
01
11
00
01
10
01
11
11
00
11
01
01
10
10
11
01
01
10
01
00
00
10
11
10
00
00
10
00
11
11
10
10
00
00
10
10
10
11
11
00
00
10
10
10
10
00
00
00
10
00
01
10
00
00
11
00
00
10
10
00
00
00
11
11
01
10
00
00
10
10
10
00
00
10
00
01
10
01
00
10
10
11
10
11
01
01
10
00
11
00
00
11
10
00
00
00
00
10
00
00
11
10
00
10
00
10
10
01
10
00
01
00
10
11
00
00
00
01
01
00
10
10
00
01
10
11
10
01
10
10
00
00
00
10
01
00
10
10
10
00
10
00
01
11
10
00
00
00
10
01
00
10
10
10
10
10
00
00
10
10
10
10
10
01
11
00
00
01
10
00
00
10
10
10
10
00
11
10
11
01
00
10
00
10
00
00
10
00
00
11
10
10
11
01
00
11
01
10
01
00
10
11
10
00
00
00
10
10
00
10
10
11
11
10
00
10
10
01
01
11
11
10
11
01
10
00
11
01
00
11
00
11
00
00
01
10
10
01
00
00
00
10
10
10
10
10
01
10
01
00
00
00
10
00
10
11
00
00
10
11
10
01
10
00
11
11
11
00
10
11
10
10
01
01
11
11
11
00
00
00
10
00
00
11
11
01
11
00
10
10
00
00
00
00
10
00
00
11
10
10
10
10
00
00
00
01
10
00
11
00
11
11
01
10
11
01
11
10
10
00
00
10
00
01
10
01
01
10
10
11
01
10
10
00
01
10
10
01
11
01
01
00
11
10
00
11
11
10
00
00
00
10
00
01
10
00
10
10
11
10
10
10
10
01
01
10
00
00
11
00
00
10
10
00
10
00
00
10
01
00
11
10
00
00
00
01
00
11
00
11
01
00
00
10
00
10
00
01
10
00
00
10
11
10
01
00
10
10
00
11
11
10
11
11
00
00
00
10
10
10
01
01
10
10
10
01
10
01
00
10
01
00
11
11
01
00
01
00
11
11
10
00
01
10
10
10
01
00
00
10
11
01
01
00
11
00
01
01
00
01
00
00
10
11
00
10
11
00
01
00
10
01
11
10
00
10
11
11
00
01
10
10
10
00
01
11
10
01
10
01
11
11
11
10
11
01
10
10
00
10
10
10
00
00
11
10
00
01
10
11
10
10
01
00
00
00
00
10
11
10
01
01
00
10
00
10
10
11
00
01
00
11
10
01
00
10
11
00
01
10
11
00
10
11
00
00
01
11
10
10
00
00
00
01
00
11
00
00
10
00
10
10
00
00
10
01
00
01
10
10
00
11
10
10
00
00
01
01
01
11
10
10
00
10
00
00
10
10
01
00
11
00
11
00
11
10
01
11
10
00
00
01
10
00
01
11
11
00
11
01
00
10
10
10
00
01
10
10
00
10
00
00
00
01
10
10
00
00
10
10
10
00
10
10
01
10
11
01
10
10
10
01
00
11
11
01
11
00
01
10
10
10
10
00
00
00
00
10
11
00
10
01
00
10
00
00
10
10
10
11
00
00
00
10
00
00
10
10
10
00
11
11
00
10
10
11
01
01
11
10
11
10
00
11
10
01
00
00
10
01
01
11
00
00
01
00
00
10
10
00
10
10
00
10
11
00
00
10
10
11
00
00
00
01
01
00
00
10
10
01
01
00
10
00
00
01
01
01
10
11
01
10
00
01
00
00
00
11
10
01
00
11
00
10
00
01
11
00
11
10
11
00
10
10
10
00
00
11
10
11
01
00
00
10
01
11
00
00
00
10
10
11
00
00
10
11
00
00
11
11
10
00
00
10
01
01
11
00
00
00
10
01
00
00
11
11
00
00
10
01
00
10
10
00
01
01
10
00
00
10
11
10
00
10
00
00
10
00
11
10
01
00
01
00
01
00
00
01
11
11
00
11
10
01
00
10
00
10
01
00
10
10
00
00
11
11
00
01
00
10
10
11
10
00
00
10
01
10
10
01
10
01
10
01
10
11
10
00
00
10
00
00
10
11
00
01
01
00
11
10
10
10
10
00
11
10
01
00
10
10
10
01
00
10
00
00
00
01
10
11
11
01
01
11
11
00
00
00
11
10
11
00
01
10
00
10
10
00
10
10
00
01
01
00
01
01
00
00
01
00
01
01
10
10
10
00
10
01
00
10
10
00
11
00
01
00
01
10
11
10
10
00
00
00
00
10
10
01
00
10
00
10
10
10
00
01
10
11
10
00
00
10
10
00
11
11
00
11
00
10
11
10
10
10
11
01
10
10
00
00
11
00
01
11
01
10
00
10
10
00
01
00
10
11
00
11
10
00
00
10
01
10
00
11
10
01
00
10
01
01
10
01
01
11
11
11
10
10
01
11
01
00
10
10
11
00
10
01
00
10
10
10
01
10
01
00
00
11
10
10
11
00
01
01
11
11
10
00
11
00
00
11
10
10
10
01
00
10
11
01
00
10
01
00
10
01
00
10
01
11
11
11
00
10
00
10
10
11
01
00
10
10
01
10
00
00
10
11
10
01
00
00
00
10
01
00
11
10
01
00
10
10
10
11
00
00
10
10
10
00
00
01
10
10
00
00
10
11
00
00
10
00
11
10
01
11
00
01
01
00
10
00
00
10
00
00
11
01
00
00
11
00
10
10
10
10
00
01
10
01
01
10
10
00
10
11
00
00
01
10
00
11
00
00
01
00
11
00
11
10
10
01
10
01
00
01
10
10
10
01
11
11
01
01
00
10
10
01
10
10
01
00
01
00
00
00
00
10
10
00
00
00
10
10
00
10
01
00
00
00
00
10
01
10
10
11
01
00
10
11
00
00
11
00
00
00
01
01
00
10
00
00
00
00
10
10
10
01
00
01
00
00
11
11
11
00
01
11
01
00
11
10
00
00
10
00
00
11
11
00
00
10
11
00
10
10
01
00
00
11
10
10
01
10
10
11
00
10
10
00
10
11
00
00
11
10
01
00
00
11
00
00
11
00
01
01
11
00
01
10
01
00
10
01
10
10
01
10
10
01
10
00
00
10
00
01
00
10
11
10
10
11
00
10
00
01
00
00
10
10
00
10
10
00
10
11
00
01
11
00
00
00
11
10
11
00
10
01
10
10
10
00
00
00
11
11
01
00
11
00
11
01
01
11
00
10
10
10
01
10
10
00
10
10
10
11
00
00
11
10
00
00
00
00
00
00
10
00
01
00
01
11
10
00
00
11
11
10
00
01
00
00
01
01
10
10
00
01
00
10
01
10
00
10
10
00
10
01
01
00
11
10
11
00
00
01
11
00
00
00
10
01
01
10
10
00
01
10
00
00
10
10
00
01
10
11
11
00
01
10
11
00
01
11
10
10
00
10
10
01
00
01
11
00
01
10
00
00
11
01
01
10
10
10
00
11
10
00
01
10
01
10
00
00
00
00
10
10
00
01
01
10
00
00
10
00
10
10
01
01
10
11
10
01
01
10
00
10
00
01
00
10
00
10
00
10
00
00
10
11
00
10
11
11
00
10
10
01
10
11
10
10
10
00
10
01
01
11
01
01
10
10
10
10
01
00
10
11
01
11
10
00
11
00
11
10
10
01
01
10
00
10
00
00
01
10
11
00
10
00
10
10
00
00
00
10
00
01
00
01
10
00
00
10
11
10
10
00
00
10
10
00
01
10
11
11
01
10
10
00
01
00
10
00
00
00
11
11
10
10
00
10
10
00
11
10
10
10
10
10
10
11
10
11
10
11
10
00
10
11
10
01
11
10
10
00
00
10
10
00
00
11
00
01
11
10
10
10
11
01
10
10
01
10
10
00
00
00
11
01
11
01
11
00
00
01
00
10
11
00
00
10
01
00
00
00
10
10
00
00
10
10
01
10
10
00
01
01
10
01
00
01
00
01
11
00
10
00
00
11
10
11
01
10
10
01
00
00
00
11
00
00
01
00
01
10
00
11
10
00
11
11
00
11
11
00
10
10
00
01
10
10
01
10
11
00
11
00
10
10
10
10
00
00
01
11
10
00
10
10
10
00
10
10
01
10
00
10
10
10
00
10
01
01
11
11
00
00
01
00
01
00
10
11
00
01
10
00
00
00
10
00
10
10
01
10
01
01
01
00
10
10
11
11
00
00
11
11
11
10
00
11
10
01
10
00
00
00
10
10
10
11
11
01
10
00
10
11
11
00
00
01
11
11
01
00
11
10
11
10
11
00
01
00
00
00
10
00
10
10
00
01
10
01
01
00
01
00
10
10
10
01
00
00
10
00
01
10
11
00
11
10
10
00
00
00
00
10
11
00
10
11
00
11
00
00
11
11
01
00
10
11
00
00
01
11
01
10
10
00
11
10
01
01
10
10
00
00
10
00
01
10
11
10
10
01
11
00
10
00
00
00
10
10
10
00
01
10
00
10
11
00
11
00
10
11
10
00
00
00
01
11
10
11
10
01
01
10
00
10
01
00
10
11
11
01
10
10
00
11
10
11
01
00
00
00
11
10
10
01
00
00
01
00
00
00
10
10
11
10
01
10
11
00
11
00
01
01
00
11
10
00
11
10
01
11
11
00
10
10
00
10
10
00
00
00
00
11
00
10
11
10
00
11
11
00
01
10
10
00
00
00
01
10
11
01
10
10
00
00
11
00
00
11
00
00
00
00
00
00
11
10
11
00
00
10
01
00
01
01
00
01
10
00
10
00
00
11
11
01
11
10
10
00
10
10
10
00
01
00
10
00
00
11
00
10
00
11
10
00
11
01
11
10
10
10
10
10
01
00
11
11
01
10
01
01
11
11
00
11
10
01
01
11
11
00
00
10
00
10
01
00
10
10
00
10
10
00
01
10
11
10
10
00
00
00
01
00
10
10
10
11
01
00
10
01
10
00
00
10
10
10
10
00
10
01
01
10
00
11
10
10
00
00
10
01
00
10
11
00
11
10
00
00
00
00
00
00
11
11
00
01
10
01
01
11
10
01
01
10
10
10
10
00
10
00
00
10
11
01
00
10
01
00
11
10
00
10
00
00
10
00
01
11
01
00
10
10
00
00
10
00
01
11
00
11
11
00
11
01
10
11
00
10
11
00
01
00
01
10
01
00
10
01
01
10
10
10
01
10
01
11
01
00
00
00
10
01
01
10
10
10
10
10
10
01
00
10
10
00
10
10
10
11
01
11
10
11
00
00
10
10
11
00
00
10
10
00
00
00
11
00
01
10
01
00
00
00
10
01
00
00
10
10
00
11
11
00
10
11
00
00
00
10
01
10
11
00
10
10
11
10
10
01
00
11
00
10
10
10
01
00
00
10
10
10
01
00
00
10
11
10
11
10
00
00
11
00
00
11
10
00
00
10
11
10
01
10
10
00
00
10
10
10
00
00
10
10
10
11
01
00
10
11
11
00
10
00
00
10
10
00
11
00
11
10
01
10
10
01
00
00
11
00
01
01
10
11
11
00
10
10
10
10
10
00
00
10
11
10
11
00
01
11
00
00
10
10
01
11
10
11
10
00
00
10
00
00
10
10
10
11
01
11
00
01
10
00
00
10
00
00
10
01
00
11
10
00
10
10
10
10
00
00
00
10
01
01
00
00
00
10
10
10
10
10
10
00
11
01
00
10
11
10
00
10
00
01
00
00
11
00
00
10
10
01
01
10
11
10
01
10
00
00
10
10
00
00
10
00
10
11
00
10
10
11
00
01
00
10
00
01
10
10
10
01
00
00
10
01
00
00
01
10
01
11
10
10
11
00
01
00
00
00
10
00
10
11
01
11
10
00
11
01
11
01
00
11
00
00
11
01
01
00
00
10
10
11
00
01
10
11
01
11
00
01
10
10
01
00
00
11
01
10
00
11
10
00
00
00
00
00
10
01
10
11
01
11
00
01
01
10
01
00
10
00
10
00
11
10
00
00
10
10
11
01
00
11
10
10
01
11
00
10
00
01
10
10
01
00
00
11
00
10
00
00
11
11
10
01
01
00
00
00
01
10
11
00
01
11
00
00
00
10
01
01
10
01
11
00
10
01
11
00
00
01
01
10
10
01
10
10
10
10
01
00
10
10
01
11
10
01
11
10
00
00
10
00
11
10
01
10
11
00
01
01
10
01
00
10
10
10
00
10
10
10
01
11
10
11
00
00
11
00
00
00
11
10
10
10
01
01
10
00
10
11
00
11
00
10
10
01
00
00
10
00
10
10
00
11
01
11
00
00
10
10
11
01
10
00
10
10
11
10
01
00
01
10
00
10
10
01
01
01
11
10
00
10
00
00
00
00
11
10
10
00
01
00
10
11
00
10
11
00
00
11
10
00
01
10
10
10
00
10
01
00
10
11
01
01
01
11
11
00
10
00
00
11
10
00
01
10
01
10
10
00
11
00
10
11
01
00
11
00
10
11
00
01
00
00
11
00
01
10
11
00
01
11
10
11
01
01
11
00
00
10
00
00
01
10
10
11
01
01
10
01
10
00
10
00
01
11
11
10
11
11
10
00
00
10
10
01
00
00
10
01
00
10
00
10
10
00
11
10
00
00
10
01
00
00
01
10
10
00
00
00
10
00
10
10
00
10
00
10
11
10
11
00
11
10
00
10
00
11
11
11
01
00
10
10
00
00
10
11
00
01
10
10
00
10
00
10
01
01
01
10
11
00
10
00
11
11
00
00
10
10
00
00
00
00
00
00
10
11
11
00
10
01
10
10
00
00
00
11
10
10
10
00
10
01
00
10
00
00
01
10
11
00
00
10
10
00
00
10
10
00
11
00
01
11
01
10
01
00
00
11
11
00
01
00
10
10
00
10
00
00
10
10
11
10
10
11
10
00
00
00
01
10
10
11
00
00
11
00
11
01
01
11
10
10
01
01
11
00
00
10
00
01
11
10
00
01
10
00
01
00
11
10
11
10
11
10
10
00
00
00
01
00
10
00
10
01
00
10
11
00
01
01
01
10
11
10
10
11
00
01
10
10
00
10
00
00
00
10
11
01
01
10
10
01
11
01
11
10
00
10
00
01
00
10
01
00
01
10
11
01
10
11
00
00
10
01
01
01
10
10
00
01
11
11
00
00
00
01
10
00
10
10
11
10
10
00
01
01
11
01
00
10
10
10
10
10
00
01
00
00
00
01
10
01
00
00
10
11
11
10
00
00
10
10
10
11
01
10
11
10
10
00
00
00
00
10
10
10
10
00
10
01
00
11
11
00
00
00
11
00
00
10
01
10
01
00
10
10
00
00
10
10
00
00
01
10
10
00
11
00
11
00
01
10
11
10
00
00
10
11
00
00
11
00
10
00
00
01
00
01
10
10
11
01
10
11
01
01
00
11
00
00
00
11
01
01
11
10
10
00
10
01
10
10
01
10
01
11
10
00
00
01
10
00
00
00
10
11
01
10
00
00
10
01
01
10
11
00
00
00
01
10
00
00
11
10
01
10
01
00
00
00
11
10
00
00
10
01
10
10
00
00
10
01
10
10
11
11
10
10
01
00
00
11
11
00
00
10
00
00
10
10
00
10
11
01
10
11
10
01
10
10
01
01
00
01
11
10
11
00
01
10
10
10
00
00
01
00
10
00
00
10
01
00
10
10
00
10
00
00
00
11
10
01
11
10
10
11
00
01
01
10
11
00
00
00
11
10
10
10
10
00
00
00
10
00
00
01
11
11
10
10
00
10
00
00
00
10
00
00
10
01
01
00
01
00
11
10
10
11
10
10
00
11
01
01
01
10
10
00
10
11
01
01
10
00
00
01
10
01
01
01
10
00
00
11
10
10
00
01
10
00
01
10
10
00
00
11
10
11
00
10
10
11
11
01
01
10
10
00
01
00
11
00
00
10
00
00
10
10
11
00
00
00
10
00
10
00
10
10
01
11
00
10
10
00
00
01
10
10
10
01
11
10
00
00
10
00
00
10
11
11
11
01
10
10
00
10
00
01
00
11
11
01
11
01
10
11
00
10
10
00
01
00
00
10
00
10
00
10
10
11
00
00
10
01
00
10
10
01
10
00
00
00
10
01
00
10
11
00
01
10
10
10
00
10
01
01
11
00
00
10
11
00
00
00
10
00
11
00
10
00
00
10
11
10
00
10
10
11
00
00
10
01
10
10
10
00
00
00
00
10
01
11
10
01
11
11
00
11
10
00
00
01
10
11
00
00
10
01
11
01
00
11
11
11
01
11
10
00
11
10
10
00
01
01
00
00
00
11
10
10
00
10
11
10
10
00
00
10
10
10
10
01
00
10
10
10
00
11
11
10
11
00
01
11
11
10
00
11
10
11
00
10
01
00
00
11
11
00
11
00
01
10
00
01
10
10
00
11
10
01
10
10
11
11
00
01
10
00
00
01
00
00
10
11
10
00
00
01
00
01
10
01
10
01
11
00
10
10
00
00
11
10
00
00
01
10
00
01
10
10
01
10
00
00
01
10
10
10
11
10
10
10
11
00
00
11
00
00
10
00
11
00
10
10
11
00
00
11
00
10
00
01
01
10
00
01
00
10
10
00
10
01
00
10
10
00
01
11
11
11
10
11
10
00
10
00
00
00
00
10
00
01
01
10
00
10
00
10
10
11
01
00
10
00
01
10
10
00
10
11
01
01
10
00
01
00
00
00
10
10
00
01
11
11
00
01
10
10
01
11
10
00
10
10
10
10
10
10
00
11
00
11
00
10
00
10
10
01
10
11
00
10
01
00
00
11
11
01
01
11
11
11
00
01
00
11
10
00
00
10
00
00
00
10
00
00
00
10
10
00
00
00
00
01
10
00
10
10
10
10
10
00
10
10
00
11
10
11
01
10
01
00
00
00
10
11
01
01
10
01
11
00
11
01
00
11
11
00
00
00
11
10
10
10
11
10
10
01
01
11
10
00
01
00
10
00
01
11
01
01
11
01
00
00
10
01
00
11
10
00
00
11
10
10
00
10
00
00
00
10
10
10
10
11
11
00
00
00
10
00
10
10
00
11
00
11
10
00
10
01
10
10
10
00
10
01
00
00
10
10
10
01
00
00
10
11
00
10
00
10
00
10
11
00
00
01
10
11
01
10
10
10
11
01
00
10
11
10
00
11
10
00
11
11
00
10
10
00
10
00
11
10
01
10
10
11
10
10
01
00
11
00
11
01
01
00
11
10
00
10
00
10
01
00
10
00
00
00
10
11
01
00
01
10
11
00
10
01
00
10
11
10
00
10
01
00
10
10
01
01
01
00
11
01
00
00
01
10
11
01
00
00
10
10
00
00
10
10
01
00
01
10
11
11
00
10
11
10
00
11
11
00
10
00
00
00
10
10
11
00
00
11
00
10
10
10
10
00
00
11
00
10
10
00
11
00
10
10
00
00
01
00
00
01
11
00
11
10
00
10
01
10
01
00
10
10
00
01
11
01
00
00
00
00
00
00
11
11
10
00
00
00
01
10
10
11
01
00
11
00
11
01
11
10
00
10
11
00
01
11
10
01
11
00
10
10
01
10
01
01
11
10
00
11
00
10
10
01
00
01
00
10
01
11
10
00
00
10
01
00
10
10
01
00
00
00
00
00
11
01
10
11
11
00
00
00
00
10
10
00
10
00
01
11
10
10
11
11
01
00
00
10
00
00
10
00
10
00
00
10
00
00
10
11
10
10
00
10
00
00
00
10
01
11
10
11
10
01
10
10
01
10
10
01
00
11
11
11
00
00
01
01
01
01
10
10
11
10
00
00
10
00
11
01
00
10
01
00
11
00
00
10
00
11
10
10
00
01
11
01
11
10
00
01
10
10
10
10
00
00
00
00
01
10
10
00
10
11
00
00
00
10
00
11
10
00
00
11
10
11
10
00
00
01
00
10
10
00
00
10
11
10
00
10
10
01
00
10
10
11
01
10
11
00
01
10
00
11
00
01
10
00
10
11
00
00
01
00
11
00
00
11
10
00
10
10
01
00
10
10
11
11
10
10
01
10
00
10
10
00
01
01
00
00
11
11
10
10
11
10
10
10
11
10
10
01
00
01
00
01
01
11
00
01
00
00
10
10
00
00
11
10
11
01
00
10
11
00
00
00
10
11
00
10
01
00
10
10
11
10
10
00
01
10
00
10
11
00
10
00
01
01
10
00
01
01
00
11
11
00
10
11
01
10
10
11
11
10
11
11
00
10
00
00
10
11
00
11
00
00
10
01
00
10
11
11
10
11
11
00
00
01
00
11
00
01
10
01
00
10
10
00
10
10
10
01
00
01
10
10
00
11
11
11
00
00
00
11
00
10
00
00
10
01
10
10
10
11
00
10
11
10
00
11
10
11
10
01
00
00
10
10
11
00
10
11
00
11
00
00
00
11
10
11
10
10
01
10
01
00
10
10
11
01
00
01
10
00
00
00
10
00
00
11
00
00
10
00
10
10
11
10
00
10
00
00
10
10
00
00
10
00
10
00
01
10
10
00
11
01
01
01
11
00
11
10
01
10
10
00
01
01
11
11
10
10
11
00
00
11
00
00
10
10
01
00
10
10
01
00
00
10
11
01
00
10
10
10
01
00
01
10
00
10
10
00
01
11
10
01
11
11
01
01
10
10
10
00
00
10
10
10
00
10
11
00
00
10
10
01
00
11
10
00
00
11
00
10
00
00
00
10
10
00
10
10
10
10
10
10
01
10
11
11
10
01
00
10
11
01
01
01
00
10
01
00
11
00
10
10
10
01
10
11
00
00
00
10
00
00
00
10
00
00
00
00
10
10
11
00
01
11
11
10
11
00
01
10
10
01
00
10
10
00
01
00
01
10
10
01
11
00
11
10
01
00
10
01
01
00
10
00
01
00
10
01
10
11
11
10
01
00
00
10
00
00
11
00
00
01
10
10
11
10
01
00
11
10
00
01
01
10
10
01
10
10
10
00
01
11
10
10
00
10
01
10
10
00
11
00
01
00
00
11
10
10
01
10
00
00
10
10
11
00
00
01
10
01
11
00
10
00
11
00
10
10
00
10
00
00
10
01
01
00
01
00
01
00
01
10
10
10
00
00
10
00
01
10
00
11
01
10
00
01
11
10
00
00
10
10
10
00
01
10
10
10
00
00
10
11
10
10
01
00
00
00
10
10
01
00
10
10
00
10
00
10
00
10
10
01
00
00
00
10
11
10
00
00
00
10
01
00
11
10
11
01
00
00
10
11
00
11
10
10
00
11
00
10
11
00
00
00
11
11
10
11
10
01
10
11
10
11
00
00
01
00
00
11
11
01
11
01
11
01
01
10
01
00
00
10
10
00
11
10
00
00
11
01
11
10
10
11
00
00
10
00
10
11
10
01
00
00
01
01
00
10
10
01
10
10
10
00
11
00
00
10
10
10
10
01
00
10
10
00
10
10
10
11
00
00
01
10
10
01
01
11
00
00
10
10
00
11
11
01
11
11
01
11
11
11
11
01
00
10
10
01
00
10
00
11
10
10
10
01
10
11
10
00
11
10
11
00
10
11
00
10
10
01
10
11
00
10
00
00
00
00
11
10
10
10
11
10
10
01
00
11
00
10
11
00
00
01
10
10
00
00
11
01
11
10
10
00
11
11
11
10
00
01
10
10
00
00
10
11
10
00
10
11
00
11
10
01
00
10
11
00
01
10
11
00
11
01
00
00
10
10
11
00
01
10
10
00
01
00
01
01
10
00
01
11
11
11
00
10
10
00
11
00
00
10
11
10
10
10
01
00
00
11
10
11
10
01
01
10
10
00
11
10
10
00
10
10
00
00
01
01
10
10
10
10
10
00
01
10
10
01
00
10
10
00
10
10
11
00
00
10
00
11
00
00
11
10
00
00
10
11
00
01
00
00
10
00
10
00
10
11
10
00
10
11
00
10
01
00
10
00
00
00
00
10
11
11
01
11
00
10
00
01
01
00
10
10
01
10
01
01
11
01
00
10
10
00
00
11
00
00
10
10
11
11
10
00
11
10
10
00
10
10
00
01
11
00
00
10
01
10
01
00
10
10
01
00
01
10
10
10
01
01
00
10
10
00
01
00
01
11
11
00
00
10
10
10
10
01
01
11
10
10
00
01
00
00
10
11
11
01
10
01
00
00
10
11
11
01
00
11
00
00
10
11
10
00
10
10
00
00
10
00
01
00
00
11
00
10
10
10
00
10
00
01
11
10
10
00
10
10
01
11
01
01
00
11
11
10
00
10
11
11
10
00
10
00
00
01
00
10
10
01
10
11
01
11
11
10
00
10
00
01
10
01
10
01
10
00
00
11
00
00
11
11
11
00
00
10
01
10
11
00
01
10
10
00
11
10
01
11
11
00
01
00
10
00
00
00
10
00
00
10
10
00
10
00
00
10
00
11
00
10
10
00
01
10
00
00
00
01
10
00
10
00
00
10
10
10
00
10
11
00
11
00
11
00
10
00
00
11
10
01
00
10
00
11
11
00
00
10
10
10
10
10
01
11
11
00
10
00
11
10
00
10
10
01
10
10
10
10
00
11
10
10
10
00
10
11
00
01
10
00
00
00
11
10
01
00
10
11
10
11
00
10
00
01
01
01
00
11
10
00
10
10
00
00
10
00
10
11
10
01
01
11
10
10
00
01
10
11
01
01
10
00
01
10
00
01
10
01
11
10
11
00
00
11
01
01
01
00
10
10
00
00
10
00
00
10
10
11
11
00
00
00
10
00
10
00
10
00
11
00
00
11
10
10
00
10
10
10
00
01
01
10
11
00
10
10
00
01
10
01
00
00
10
00
00
10
00
01
11
01
00
10
00
11
11
10
00
00
11
01
11
01
10
10
00
11
00
01
01
11
10
01
01
10
00
11
10
01
00
10
00
11
10
00
10
11
00
01
01
01
11
10
10
01
01
10
10
10
00
00
11
01
11
00
01
00
01
11
10
11
00
11
10
00
01
10
00
10
10
00
01
00
00
11
00
11
00
01
10
11
00
00
10
10
10
11
00
00
10
00
00
11
10
00
10
10
01
01
11
01
11
11
00
00
11
10
10
10
00
01
10
11
00
00
00
00
01
01
10
11
10
10
01
00
01
00
10
10
00
00
11
11
00
11
00
10
00
10
10
00
00
10
10
00
00
10
11
11
10
00
00
11
00
01
01
10
11
01
01
10
11
00
10
00
00
10
10
10
01
00
01
00
10
10
11
11
10
00
01
00
10
01
00
10
10
00
01
00
11
00
10
00
00
11
11
10
00
10
10
00
00
00
11
10
11
00
10
00
10
00
10
10
00
10
01
10
10
11
00
01
11
10
10
00
00
00
00
11
11
00
10
11
00
10
10
11
10
01
01
01
10
11
00
00
10
10
00
00
01
10
10
01
10
01
00
01
00
10
11
00
00
10
10
10
01
00
11
10
11
01
00
10
10
00
00
10
00
00
10
10
00
10
00
01
11
00
10
01
10
10
01
10
10
00
10
00
01
11
11
00
00
00
10
00
11
01
00
10
10
00
00
01
10
00
00
00
10
10
00
00
01
11
00
10
10
10
10
10
00
01
10
00
10
10
00
11
11
10
00
10
10
00
01
10
01
11
00
00
11
01
10
11
00
01
11
00
00
10
00
10
01
00
10
00
00
10
10
10
11
01
10
11
11
11
10
11
01
11
11
01
00
11
10
00
01
11
11
10
00
10
10
11
11
00
00
10
10
10
00
10
10
01
11
00
10
10
01
01
00
10
11
01
11
00
11
11
01
01
00
01
00
01
10
10
10
00
10
00
10
10
01
10
01
11
10
01
01
00
00
01
10
01
01
11
10
00
01
00
00
10
10
01
01
00
10
01
00
00
10
10
10
10
00
00
00
01
10
00
00
10
10
11
11
01
11
10
11
00
10
00
01
00
10
10
10
10
10
10
00
00
10
00
11
01
00
01
00
10
00
11
01
10
10
00
10
00
00
11
00
00
11
00
10
00
11
00
11
00
01
11
11
01
00
00
10
00
00
10
10
01
10
11
00
00
10
00
10
10
00
01
00
11
00
10
10
10
10
10
01
01
00
10
10
10
00
00
10
11
11
01
01
00
00
10
10
01
01
11
11
00
11
11
01
11
10
10
00
01
11
00
01
10
00
11
10
11
00
01
01
11
10
00
00
10
00
00
11
10
10
00
00
10
01
11
10
01
00
10
11
10
10
00
00
00
00
01
11
10
11
00
10
10
11
00
11
10
00
10
01
01
01
11
11
11
10
11
10
10
00
01
10
00
00
11
10
01
00
10
10
10
00
10
00
01
10
10
01
00
10
10
01
10
10
01
00
00
10
10
01
00
01
10
10
10
11
10
00
11
00
10
10
10
10
10
01
11
11
00
00
10
00
00
10
11
01
10
10
00
00
01
01
00
10
00
11
10
00
11
00
10
00
11
00
00
01
10
11
00
00
11
00
01
11
11
01
00
10
11
00
01
10
10
00
11
00
01
11
01
00
11
10
10
00
10
00
00
10
11
01
00
00
00
00
00
10
10
11
11
01
00
00
00
11
01
11
11
00
00
10
11
10
00
11
10
10
10
10
00
10
10
01
10
11
00
10
10
10
01
00
10
00
00
10
10
01
11
10
00
00
10
00
00
00
11
11
11
00
10
01
00
00
11
10
00
00
10
10
00
01
10
10
00
00
00
00
10
01
00
01
01
11
00
10
10
00
00
11
10
00
00
11
00
11
10
00
10
10
01
10
11
01
00
10
11
11
00
10
10
10
01
10
11
01
00
10
01
00
11
01
10
00
00
00
11
00
00
10
00
10
10
10
01
01
01
11
00
00
11
00
00
10
11
11
10
11
00
00
10
00
00
10
10
01
00
11
00
10
01
01
01
10
10
10
01
10
00
00
10
00
00
10
10
11
01
11
00
00
01
10
11
11
10
00
00
10
11
10
01
00
00
10
11
10
00
00
01
00
11
10
10
10
10
10
10
01
00
11
10
11
10
10
10
10
10
00
11
11
00
00
01
00
11
01
01
11
00
00
11
00
00
10
00
10
00
11
10
00
00
10
11
00
10
10
10
10
01
11
01
01
10
01
00
10
01
10
00
00
10
10
00
10
10
01
10
11
10
00
01
01
00
10
00
01
00
10
01
10
10
00
10
00
01
11
01
10
11
01
10
00
11
00
10
00
00
10
10
00
11
00
01
00
10
00
00
01
10
00
00
10
01
00
10
01
10
11
10
10
00
00
11
11
10
01
10
01
00
01
11
10
01
00
10
10
00
01
00
10
10
10
01
11
11
00
11
11
11
01
01
11
11
00
01
11
10
00
01
10
10
00
10
11
00
00
10
01
00
11
00
10
01
10
00
10
00
01
01
00
00
11
11
00
00
00
10
00
11
10
00
00
10
00
10
10
10
10
00
10
11
00
11
01
11
00
00
10
10
11
01
00
10
00
00
00
10
11
10
00
00
01
00
00
00
00
01
10
10
10
10
00
00
00
00
11
10
10
01
00
11
10
10
00
01
10
00
00
00
01
10
00
10
00
11
00
01
10
01
10
10
10
01
10
11
01
01
00
00
00
00
10
00
11
11
00
01
10
10
01
00
10
00
10
11
00
00
01
10
11
01
10
11
00
00
10
00
10
01
00
10
01
00
10
00
00
10
10
00
00
01
10
00
10
10
10
11
00
00
01
00
00
10
00
11
10
10
00
11
10
10
01
10
10
00
01
00
11
11
00
00
10
01
10
00
00
10
00
11
10
00
11
00
10
10
00
10
00
00
10
00
10
10
01
10
00
00
00
11
01
00
01
00
10
11
10
10
00
01
10
10
01
10
10
00
10
00
00
10
10
01
00
00
00
10
00
01
00
10
01
00
11
10
10
01
10
01
11
10
11
00
00
10
10
00
01
00
10
10
00
10
00
11
00
10
10
01
11
00
00
10
00
01
10
11
00
00
10
00
11
10
10
01
10
10
10
00
00
00
01
10
01
10
10
00
00
10
10
00
10
10
00
00
10
11
11
00
11
10
00
10
01
00
11
10
00
10
00
10
11
00
11
00
01
10
01
00
00
10
10
10
01
11
11
10
11
01
11
01
11
10
00
10
11
10
01
00
10
00
00
11
01
01
10
10
00
11
10
00
00
10
10
00
11
10
00
01
10
10
01
00
00
01
11
00
00
00
01
11
00
10
10
10
11
10
01
10
10
01
00
01
01
00
10
01
01
01
10
10
00
00
01
10
11
00
00
10
01
10
10
00
00
11
11
00
01
10
11
00
01
10
11
10
00
10
10
00
00
10
10
10
11
00
01
01
10
10
10
01
10
00
01
11
10
10
00
00
10
10
10
11
01
11
01
01
00
00
00
01
10
11
00
01
01
01
00
10
11
00
00
10
01
10
10
00
00
00
10
00
11
10
00
01
00
00
10
01
10
00
00
00
00
00
10
11
00
00
11
01
10
01
00
00
00
01
11
10
00
11
00
10
00
10
10
00
00
01
10
11
11
00
10
00
01
00
01
10
11
00
10
10
00
01
11
10
11
00
00
10
00
00
00
00
10
10
00
10
11
00
01
10
10
10
10
11
00
10
10
11
00
11
00
00
00
10
10
10
10
00
01
00
11
11
10
10
10
01
00
00
10
10
10
10
10
10
01
01
10
00
11
10
10
01
00
10
00
10
00
01
11
10
00
00
00
01
10
10
11
11
00
00
10
10
00
01
00
11
10
10
01
00
10
11
11
00
01
10
00
00
10
11
10
00
00
00
00
00
01
11
10
10
00
00
10
00
00
11
10
00
00
11
10
00
11
10
00
10
00
10
11
00
10
11
11
11
00
10
01
10
11
10
01
10
10
11
00
01
10
00
00
00
10
01
10
10
11
10
00
10
00
10
10
00
01
10
00
10
00
11
01
01
11
00
00
10
10
01
00
11
00
10
10
11
10
10
00
00
11
00
11
01
00
10
01
00
11
01
01
10
00
10
00
00
00
10
10
00
01
00
10
10
00
01
00
00
00
00
10
10
10
01
10
10
10
01
10
10
10
00
11
00
00
10
00
00
00
10
00
01
01
11
11
01
00
11
11
01
01
11
11
11
01
01
10
10
00
11
10
01
10
01
01
11
10
11
10
11
11
11
01
00
10
11
00
01
10
10
00
10
10
01
00
11
10
11
00
01
00
11
10
11
01
00
11
00
00
00
11
10
11
10
00
00
01
01
00
10
10
01
11
00
10
00
00
10
10
10
10
00
00
11
11
00
11
11
00
10
00
01
10
00
01
10
00
10
10
01
00
11
00
10
10
00
00
00
00
00
01
00
11
10
11
11
00
11
00
01
11
10
01
10
00
00
10
01
10
10
01
11
10
01
10
11
00
10
10
10
10
01
10
00
00
11
11
01
01
11
10
00
10
10
00
00
11
00
00
10
00
11
00
01
10
01
11
10
00
01
00
11
10
00
00
01
11
10
10
01
10
10
10
10
10
00
00
10
01
11
00
10
11
11
00
00
11
01
00
10
00
10
10
01
00
00
00
10
10
01
01
00
10
01
10
00
00
11
01
01
11
00
00
00
10
11
10
00
01
00
10
11
00
10
00
00
00
10
11
00
10
11
00
11
10
10
11
10
01
00
00
10
10
01
11
00
10
10
00
00
10
10
01
00
01
11
01
00
01
10
00
10
01
10
10
10
00
10
00
00
10
11
10
01
10
10
00
00
01
00
10
11
10
10
11
10
00
00
10
10
00
00
10
10
00
00
10
00
10
10
01
00
00
10
10
10
00
01
11
10
01
10
00
10
10
01
01
10
00
11
01
01
01
01
11
10
10
00
00
10
00
00
11
00
10
00
10
10
00
00
10
11
00
10
00
00
10
11
00
10
11
01
10
11
10
00
00
11
11
11
10
10
11
10
01
01
10
00
11
11
00
01
10
10
01
00
11
10
10
00
00
00
01
10
10
00
10
01
10
11
01
10
10
01
00
01
01
10
00
00
10
00
10
10
11
10
00
01
00
11
00
00
10
10
00
00
11
11
11
10
00
00
01
00
10
00
01
10
11
00
00
00
00
00
01
01
11
00
00
00
11
00
10
10
10
00
00
00
10
01
00
10
00
01
11
10
10
00
11
11
11
01
00
11
11
00
00
00
11
10
10
00
11
01
10
10
11
00
10
00
00
10
00
01
10
00
00
10
10
01
11
00
10
10
00
00
00
10
00
01
10
11
11
10
00
10
00
10
00
01
10
00
00
00
10
00
01
10
10
00
00
01
01
00
10
10
00
00
01
10
10
11
00
10
01
01
00
01
00
00
10
10
11
01
11
10
11
10
10
11
01
01
11
01
11
00
11
00
00
11
01
00
11
00
01
10
10
10
10
01
10
01
00
00
10
11
00
11
10
01
00
11
10
01
10
10
10
00
00
11
01
00
01
10
10
00
00
11
01
00
10
10
10
00
10
00
10
00
10
10
00
01
01
00
00
10
11
10
00
00
10
00
01
11
00
01
00
00
11
11
11
00
10
11
10
00
00
10
10
10
10
00
01
11
10
10
10
00
00
11
11
01
00
10
01
00
10
01
10
11
01
00
11
01
00
00
10
00
01
10
11
11
00
10
11
01
00
00
11
11
00
01
11
10
01
00
01
10
10
01
00
10
11
00
00
10
11
00
00
10
10
00
11
10
01
10
10
10
11
00
00
01
10
01
10
00
01
01
01
10
10
01
10
00
01
10
00
00
00
00
00
11
11
00
10
00
11
11
11
10
01
10
11
01
00
10
00
10
11
01
10
01
10
01
00
00
10
00
00
00
11
10
10
01
10
10
00
00
10
10
00
10
01
00
10
11
10
11
01
00
10
01
00
01
11
10
10
11
11
10
01
00
01
00
00
10
00
00
01
00
00
01
00
01
01
10
11
11
10
00
00
10
00
01
00
10
11
00
01
01
11
11
10
00
10
00
00
10
11
00
00
10
10
11
01
11
00
10
00
01
00
11
10
10
11
10
11
00
10
10
10
00
00
00
11
00
01
00
10
11
00
10
00
10
10
10
00
00
10
00
00
10
00
10
10
00
11
10
01
11
11
01
00
00
01
10
10
00
01
11
00
00
00
00
00
00
01
11
00
10
10
11
10
00
01
00
10
10
11
10
00
01
00
00
00
10
01
10
11
00
00
10
10
11
10
11
01
00
01
00
10
10
01
01
01
10
11
00
10
00
11
11
00
00
10
10
11
01
11
00
00
11
10
00
10
10
00
10
10
00
11
10
01
00
00
11
11
10
10
00
00
00
00
11
00
01
10
11
00
01
11
00
00
11
00
01
10
10
00
10
10
10
00
01
10
11
10
00
00
10
11
10
00
00
10
00
10
01
01
10
10
11
10
11
11
10
11
11
10
10
00
01
01
00
00
00
00
01
11
10
01
01
10
10
01
00
10
11
00
00
10
10
11
01
10
01
10
00
01
10
00
00
10
10
00
00
00
10
10
00
10
00
00
11
01
11
01
10
10
11
01
00
00
11
10
10
11
00
00
00
10
10
01
01
10
00
00
11
01
11
10
01
01
00
01
10
10
00
10
10
00
00
10
00
10
10
00
00
10
00
10
01
00
10
10
11
10
10
00
10
11
01
01
10
01
00
11
01
01
01
11
11
00
01
10
10
01
01
10
01
01
10
10
10
10
00
00
00
10
00
10
11
01
10
10
00
00
00
11
10
10
00
01
10
10
10
00
00
11
10
10
10
01
00
10
00
00
10
11
10
11
00
01
10
10
01
01
00
10
11
00
10
11
00
11
10
00
00
10
10
10
00
00
11
01
10
00
10
10
00
10
00
00
10
00
01
10
10
00
10
00
01
10
00
01
00
01
10
11
11
11
00
11
10
00
10
11
00
01
01
10
11
00
10
00
11
11
11
01
00
00
10
10
00
11
11
10
00
01
00
10
11
10
10
11
01
11
00
01
00
11
11
10
11
00
00
11
10
00
10
00
00
00
10
10
01
10
01
01
01
00
01
10
00
10
11
10
01
00
10
10
00
00
11
10
00
10
10
10
01
00
11
01
00
00
00
10
10
01
11
00
11
00
10
01
10
10
00
01
11
10
00
00
00
01
10
10
10
11
00
01
10
10
00
10
10
01
10
11
00
01
01
10
11
00
10
01
01
10
10
00
00
10
01
10
10
01
11
00
10
10
11
10
00
11
00
00
10
10
10
01
00
01
11
10
10
10
11
00
11
01
00
10
00
11
01
11
11
10
00
11
10
00
00
10
10
11
01
00
00
10
00
10
11
11
11
10
01
00
00
00
10
00
01
10
10
00
10
01
00
11
00
00
11
10
10
00
00
10
10
00
10
00
10
10
10
01
10
01
00
01
00
11
01
01
00
01
11
11
10
00
10
11
01
01
00
10
00
00
10
01
10
10
00
10
00
10
10
00
00
00
00
10
10
00
10
00
10
01
01
10
01
10
10
00
11
00
11
01
01
00
00
10
11
01
01
11
10
01
00
10
00
01
11
10
00
00
10
11
10
10
01
10
00
01
00
01
00
01
10
01
10
10
00
10
01
10
00
00
00
11
10
11
00
01
10
00
10
11
11
00
00
10
10
00
00
00
10
10
10
10
11
00
11
10
10
01
10
10
01
00
10
11
11
00
10
10
01
01
01
00
00
00
11
00
00
10
11
00
00
10
00
10
10
00
01
00
11
11
01
00
10
10
00
00
10
00
00
00
00
01
10
11
10
10
00
10
00
01
11
10
00
11
10
10
10
00
00
11
11
01
10
11
10
00
10
00
10
11
10
10
01
00
10
00
10
10
00
10
11
01
10
00
10
10
01
01
11
11
10
00
10
10
01
00
11
11
01
11
00
10
10
00
01
00
11
10
00
01
00
11
10
00
00
00
11
00
01
10
00
11
10
00
11
00
00
01
10
11
00
01
10
01
11
00
00
10
11
01
10
11
11
01
01
00
11
10
10
00
10
10
00
10
00
11
10
01
11
01
10
00
11
01
10
10
00
00
00
10
10
11
00
00
00
10
00
10
01
00
00
01
00
00
10
10
11
11
10
11
10
00
10
10
01
01
10
10
01
00
01
11
10
00
11
00
01
00
00
01
00
11
11
11
01
11
10
00
11
11
00
00
10
10
10
01
00
01
00
11
10
00
00
10
00
11
00
00
00
10
00
00
10
00
11
11
00
10
00
00
01
10
10
01
10
10
01
10
00
10
11
00
01
00
11
10
00
01
10
00
00
11
10
10
00
11
10
11
00
01
00
00
00
00
01
01
10
10
01
00
10
10
00
01
00
00
10
11
00
01
10
11
11
10
11
00
11
11
00
00
11
10
01
11
10
11
00
00
00
11
10
01
11
00
10
10
01
01
00
10
11
00
00
00
00
10
00
00
11
00
00
10
10
10
10
10
01
01
10
10
10
00
00
10
01
11
00
00
10
01
00
01
01
10
11
00
00
00
11
10
11
10
00
10
00
00
11
00
01
00
00
10
11
10
00
00
11
00
00
11
01
10
01
01
10
01
10
10
10
10
01
11
01
01
10
10
01
10
00
00
01
10
10
10
10
00
00
00
10
11
00
11
00
10
00
10
01
01
11
01
00
10
10
01
10
11
00
00
10
11
01
10
10
00
10
10
10
11
01
10
10
10
11
10
11
01
01
10
11
10
00
10
10
00
01
10
10
10
00
00
00
11
10
01
11
11
00
11
00
01
01
00
11
00
10
00
01
11
11
00
00
01
10
11
01
01
10
10
00
11
10
00
10
01
10
01
00
00
10
01
10
10
00
10
00
01
00
11
10
00
00
10
01
00
10
10
00
11
10
10
11
01
01
10
01
01
10
00
00
11
00
00
10
10
00
00
00
01
11
00
01
01
00
10
11
00
10
10
10
10
00
10
10
00
00
10
10
11
11
10
10
10
10
10
10
00
00
00
00
10
10
10
01
00
00
10
00
10
10
00
00
10
10
00
11
10
00
01
11
00
00
01
11
01
10
10
10
10
00
10
10
00
00
10
10
01
10
11
00
00
01
01
11
01
01
10
11
10
10
00
00
10
10
00
01
10
00
11
10
01
00
01
10
10
10
10
00
01
10
11
00
00
00
11
00
11
01
10
10
00
00
00
00
01
10
10
01
00
10
11
10
11
10
10
00
00
10
10
00
00
01
10
11
01
00
11
10
01
10
10
00
00
10
11
10
00
10
01
11
01
10
10
11
10
00
00
00
00
01
10
10
10
11
00
10
00
01
00
01
10
11
01
11
10
11
10
01
10
11
01
00
00
10
10
00
00
10
10
00
00
00
10
00
00
01
00
10
10
00
00
10
11
11
00
10
11
00
00
10
00
00
01
10
11
11
01
11
00
11
10
01
10
00
00
10
11
10
11
00
10
00
11
10
01
11
10
01
10
10
11
01
01
00
10
11
00
00
01
11
11
00
00
11
00
10
10
10
00
00
10
00
01
10
00
00
00
00
00
00
01
10
11
10
10
11
00
11
11
11
11
10
10
00
10
10
00
01
00
00
10
10
00
10
00
10
11
00
10
00
00
10
01
10
01
10
10
00
00
00
00
11
11
11
11
10
11
00
00
10
10
00
11
10
01
01
11
00
10
00
01
11
10
10
00
00
01
01
10
10
10
00
00
01
10
01
00
01
10
00
00
11
01
10
00
10
11
00
10
01
00
00
10
01
11
00
00
00
01
10
00
11
10
00
01
00
01
00
10
00
10
10
10
10
00
01
00
10
11
10
01
00
10
10
10
10
00
01
11
00
01
00
01
10
10
00
00
10
01
11
11
01
10
00
01
10
11
00
00
10
10
11
01
01
11
10
11
00
10
10
00
01
01
10
10
00
10
10
00
00
11
11
10
00
00
10
11
00
10
11
01
01
00
01
00
10
01
10
10
00
00
10
00
01
11
00
00
00
11
00
00
10
10
10
10
01
01
10
10
10
10
00
01
00
10
11
00
10
10
00
01
10
00
01
10
11
00
00
11
00
11
10
00
00
01
10
11
11
01
00
10
00
00
00
11
10
00
00
00
00
00
11
11
10
00
01
10
10
00
10
11
00
10
01
00
10
10
10
11
11
10
10
11
10
00
00
10
01
01
11
10
11
00
01
11
00
01
10
11
01
01
10
00
00
00
11
00
11
10
01
00
00
10
10
10
10
00
00
00
10
10
01
10
10
01
10
11
10
10
00
00
00
10
10
10
10
10
00
10
00
01
11
10
10
11
01
10
10
01
00
10
11
01
11
10
00
10
11
01
01
10
11
10
00
11
10
01
00
00
10
10
00
10
01
10
10
00
01
10
01
00
10
00
00
00
01
10
10
01
00
00
00
00
00
10
11
10
10
10
00
10
00
01
10
00
00
11
10
10
00
00
01
00
00
10
00
01
10
00
01
10
11
10
00
00
11
10
00
00
10
10
10
10
10
01
00
00
00
01
10
00
01
00
10
01
01
11
00
01
10
11
10
00
10
01
10
00
11
11
10
10
01
00
00
11
10
00
11
11
10
00
00
10
00
00
10
01
00
10
01
01
10
11
00
00
00
10
10
10
10
00
10
11
10
10
10
00
00
00
11
10
01
10
00
11
00
10
10
00
00
11
10
10
11
01
11
00
01
10
00
10
10
10
11
01
00
01
00
11
10
01
11
11
01
01
01
11
10
10
10
01
00
11
10
01
10
11
11
00
10
11
00
01
10
10
11
10
11
01
11
10
11
00
01
00
10
10
00
00
01
11
10
00
00
10
10
00
10
11
11
00
01
10
00
00
10
00
10
10
01
11
10
11
10
11
10
10
10
00
01
10
01
00
00
00
00
01
00
01
10
11
11
01
00
01
10
00
00
10
11
10
00
00
10
10
00
00
10
11
11
00
10
00
10
10
10
00
11
10
01
11
10
11
10
10
01
01
10
00
10
01
10
00
10
01
01
01
01
11
00
10
01
01
00
11
11
01
10
00
10
10
01
01
00
11
10
01
10
00
10
01
00
11
00
01
00
00
00
00
00
11
01
10
00
00
11
10
00
01
10
11
11
10
00
00
10
00
10
01
01
10
00
00
10
00
00
00
10
10
10
11
11
00
00
00
00
00
10
00
10
00
10
00
10
10
10
11
11
01
01
00
00
11
00
10
10
10
00
11
00
01
01
11
00
01
11
10
10
01
10
00
01
10
00
10
00
10
10
11
01
00
11
01
11
10
00
01
10
11
00
10
00
01
01
00
00
11
10
01
00
00
10
10
10
10
10
00
00
00
10
00
01
01
00
01
10
11
01
10
11
00
11
10
11
00
01
10
00
10
01
00
00
00
11
10
00
10
11
01
11
10
00
01
10
11
10
10
01
00
00
11
10
10
10
01
00
00
11
00
10
11
11
00
01
10
10
01
00
10
01
00
11
00
11
00
11
00
10
10
00
00
00
00
10
01
10
01
10
11
00
10
00
10
10
00
11
10
00
00
10
00
00
01
00
10
10
00
00
10
00
00
11
10
10
10
10
00
00
00
01
01
01
01
10
10
00
01
10
00
01
01
10
10
10
00
11
10
01
11
10
00
01
10
10
01
00
01
01
01
11
00
10
00
01
11
11
00
00
11
00
00
11
11
10
00
00
11
10
00
00
11
10
10
11
01
01
11
00
11
10
01
11
10
00
00
00
10
11
00
00
00
00
10
10
11
00
00
10
11
10
00
10
00
10
10
00
10
11
00
00
01
10
01
10
00
00
00
11
01
10
10
00
00
11
01
11
00
01
10
01
01
11
00
00
00
10
01
01
11
11
10
00
11
01
00
00
10
11
11
01
00
10
10
10
10
11
00
01
00
10
01
10
00
00
10
10
10
10
10
01
01
00
00
00
11
01
00
01
01
10
00
01
10
11
10
01
00
11
11
11
01
01
00
10
10
00
00
11
10
10
00
00
10
10
00
10
10
10
10
01
11
01
00
00
00
10
01
00
10
11
01
10
11
00
00
11
10
11
10
10
00
11
11
00
00
10
10
00
10
10
00
00
10
00
10
10
01
11
11
00
11
00
01
10
01
01
10
10
10
00
10
00
00
11
00
00
10
01
10
10
11
11
10
01
01
10
01
10
10
10
10
01
10
11
01
01
00
01
10
10
11
01
11
11
00
11
01
01
01
10
11
00
00
10
01
10
10
00
01
01
00
01
10
11
10
00
00
10
10
11
10
00
00
10
00
00
00
10
11
01
01
00
01
11
00
10
00
11
10
00
00
01
01
00
00
10
11
00
10
10
00
01
00
10
11
00
01
00
10
10
01
11
11
00
10
00
01
10
00
10
01
00
10
01
10
10
10
00
00
00
11
10
00
00
10
00
10
00
00
10
11
00
11
01
01
10
10
10
00
10
11
11
00
01
10
11
10
00
00
10
10
10
00
00
01
10
00
10
10
10
00
00
10
00
11
10
01
10
01
01
11
10
00
11
11
10
00
10
10
01
00
00
10
11
00
01
10
10
10
00
01
00
01
00
11
00
11
10
01
00
10
10
00
00
11
10
00
00
00
10
10
11
10
00
01
10
11
00
11
10
10
00
00
00
10
00
10
10
10
10
00
11
00
10
01
00
10
10
01
00
00
10
00
01
10
00
00
11
11
00
10
10
10
10
01
00
10
00
10
00
10
10
11
00
00
11
11
10
00
00
10
10
00
01
10
10
00
10
10
01
10
10
10
00
01
00
11
11
00
10
11
10
01
00
10
11
01
00
00
01
10
00
10
11
10
00
00
10
10
00
00
11
11
10
00
10
11
10
00
00
11
10
00
10
10
10
10
10
00
00
00
00
00
11
10
10
10
00
10
00
11
01
10
01
10
01
10
10
00
00
01
11
10
00
11
10
10
00
11
10
00
00
00
11
00
00
11
10
11
01
00
10
10
10
10
01
00
00
00
00
11
01
01
10
11
10
11
00
01
00
10
10
01
00
10
11
00
11
00
01
10
01
00
00
10
10
00
00
10
10
10
00
00
11
01
11
00
10
11
00
10
00
10
10
00
00
10
10
10
10
10
11
01
01
00
10
00
10
10
00
10
00
10
00
10
01
00
00
10
00
01
11
11
00
00
11
10
00
11
01
10
01
00
01
10
10
00
11
11
01
00
10
11
00
11
01
00
10
10
10
01
11
10
10
11
01
01
10
10
10
00
00
10
00
01
10
11
10
01
00
10
10
01
01
11
10
01
01
11
00
10
10
01
00
11
00
11
10
01
00
01
10
01
10
10
01
00
01
10
11
00
10
01
01
00
10
10
10
11
10
10
00
01
00
01
00
00
11
11
01
10
00
00
00
01
00
10
11
01
10
00
11
00
11
10
00
10
01
10
11
10
00
10
10
10
01
10
10
00
11
10
01
00
01
10
11
10
00
10
11
00
00
00
11
00
01
11
10
10
00
00
00
00
11
10
00
00
00
00
11
11
10
10
10
00
00
10
10
01
01
00
00
10
00
10
00
10
10
00
01
11
10
00
11
00
00
10
11
00
10
01
00
11
10
00
10
11
00
11
10
00
11
00
10
00
10
10
11
11
10
01
10
00
10
11
00
10
00
00
10
10
00
10
10
01
01
00
10
00
10
11
00
10
11
10
10
00
00
10
01
00
11
10
10
10
11
10
00
00
00
10
11
00
10
10
01
00
11
00
01
10
00
00
01
00
10
11
10
01
10
01
01
10
01
10
10
00
01
01
10
00
00
00
11
10
00
01
00
10
01
01
10
11
10
00
00
11
00
10
00
01
00
00
11
00
10
10
01
00
11
11
10
10
00
00
00
00
10
10
10
10
10
10
00
11
11
10
10
01
00
00
11
10
10
00
00
01
00
01
00
10
10
00
00
00
10
00
01
10
11
01
00
00
00
10
00
10
10
00
01
10
00
00
00
10
10
00
00
00
10
10
11
00
01
10
10
10
00
00
10
01
01
00
10
10
00
10
11
10
10
10
01
01
10
11
11
01
00
10
00
00
10
00
11
10
00
00
10
00
10
00
00
11
11
00
10
11
10
11
01
01
10
10
10
00
00
10
01
10
00
11
10
10
01
00
10
10
00
00
10
10
00
00
11
00
10
01
00
11
01
00
11
00
10
01
10
00
00
00
10
00
10
01
00
10
10
00
10
00
11
01
11
00
00
00
00
10
11
10
10
11
00
11
10
00
00
11
00
00
10
11
00
10
00
10
00
10
10
00
10
00
01
01
00
00
00
00
00
01
11
10
11
00
00
11
01
01
01
11
10
10
01
01
10
10
11
00
01
01
10
10
00
10
00
11
10
00
00
01
11
11
00
11
10
00
01
10
10
10
01
00
00
10
11
00
00
00
10
11
11
00
10
01
00
11
00
10
10
00
00
01
11
01
01
11
11
10
00
01
01
11
10
00
01
10
01
01
00
11
10
01
01
00
11
10
11
11
00
01
10
10
00
00
10
01
01
10
00
10
01
10
01
00
11
11
00
00
10
00
10
11
01
00
10
11
00
10
11
00
10
11
00
01
11
11
01
10
10
01
10
10
00
00
00
10
11
10
11
00
01
11
10
10
00
10
11
00
00
01
00
00
00
10
11
11
01
01
00
01
00
11
10
10
00
01
10
10
10
01
11
00
00
00
01
10
10
10
11
10
00
10
10
00
00
01
00
10
11
01
00
01
11
10
10
00
00
01
10
10
00
10
10
11
01
10
10
00
11
00
11
00
11
10
00
00
11
11
00
01
10
00
10
10
00
10
10
00
10
01
00
10
00
01
00
10
10
01
10
10
10
11
10
11
01
00
10
01
00
10
10
00
10
00
00
10
00
00
10
00
10
10
00
00
00
10
11
00
10
01
10
10
01
00
00
00
00
10
10
10
01
11
00
01
10
11
00
01
10
10
01
01
00
11
10
01
00
10
00
10
00
00
11
11
11
10
10
10
01
10
10
00
00
01
01
11
11
00
01
10
10
01
01
10
00
00
10
00
00
00
10
11
00
00
10
00
11
01
01
00
11
10
11
10
11
01
00
10
00
00
11
11
00
00
11
10
11
10
10
00
01
00
01
10
01
00
10
10
00
01
11
11
10
10
10
10
01
10
10
01
01
00
10
11
00
10
00
11
11
00
00
00
00
01
10
10
01
00
00
11
10
10
10
00
01
10
10
01
10
10
00
00
10
10
11
00
10
00
11
10
10
00
10
00
10
10
00
01
01
01
01
10
01
00
10
10
10
00
00
01
00
10
11
00
00
10
10
00
10
10
11
10
00
00
10
10
00
01
01
01
00
00
11
10
10
10
01
00
10
10
00
00
10
11
10
10
11
11
11
00
01
10
11
00
11
00
01
00
10
10
01
11
11
00
01
00
10
10
11
10
10
00
10
11
00
01
00
00
10
11
00
01
00
11
00
01
10
01
00
10
10
01
10
01
00
10
01
10
10
10
10
00
10
10
00
10
01
00
11
10
01
10
00
00
01
11
11
10
11
01
00
10
00
01
10
10
00
11
10
10
11
00
10
11
10
00
11
10
00
00
10
10
00
01
11
00
10
10
00
01
01
10
11
01
10
00
00
00
10
01
11
00
10
11
00
00
00
11
11
01
10
01
00
10
00
10
01
00
10
10
10
00
01
01
10
01
00
10
10
10
00
10
10
10
01
00
10
00
10
01
10
00
01
00
01
00
11
10
00
00
00
00
00
00
11
10
00
00
00
01
11
10
00
00
00
11
00
00
10
00
10
10
10
10
01
10
00
00
00
00
00
10
01
10
10
10
00
11
10
11
10
10
00
10
00
01
10
11
10
01
00
11
10
00
00
10
00
01
11
00
00
00
10
10
00
10
01
10
00
11
00
00
10
10
01
11
10
00
11
01
10
00
00
11
10
01
01
10
01
01
10
00
11
01
01
10
10
10
00
10
01
11
01
00
10
10
00
01
00
11
10
11
01
00
10
11
11
00
01
11
00
01
00
00
00
00
11
10
10
11
00
00
10
10
01
00
00
11
01
10
00
00
10
11
10
00
10
11
01
10
11
00
10
00
01
01
10
10
00
11
11
00
11
11
00
00
01
01
11
11
10
10
00
11
00
01
00
11
00
10
10
00
11
11
10
00
11
01
01
01
11
01
00
11
00
10
11
00
01
10
00
11
00
11
10
01
00
00
10
01
10
11
11
10
00
10
10
00
11
10
01
00
10
10
00
11
10
01
01
10
10
01
01
10
00
01
11
10
00
01
01
10
01
10
00
10
01
10
11
10
00
00
11
10
00
00
11
00
01
11
10
00
10
10
00
00
11
11
00
00
11
00
00
10
10
01
10
00
01
00
10
00
10
10
10
00
00
10
10
10
01
01
10
00
10
00
00
00
00
00
10
10
01
11
00
10
00
10
10
00
11
00
10
01
00
00
00
11
10
10
00
01
10
11
00
00
00
10
00
00
00
11
00
00
10
00
01
00
01
10
10
10
11
00
01
00
01
10
10
10
00
10
11
00
00
01
11
00
00
00
10
00
10
10
01
10
10
00
10
00
00
00
00
10
10
00
01
00
01
00
00
01
11
10
00
00
00
01
10
10
01
10
10
10
10
11
00
10
00
10
10
00
01
01
00
00
10
10
00
00
10
00
10
00
10
10
00
10
00
10
10
00
00
11
01
11
00
11
10
10
01
10
00
00
00
11
10
00
10
11
11
01
00
10
00
10
00
10
10
01
00
01
10
00
01
10
11
01
10
10
10
00
01
10
11
00
10
10
00
00
01
11
10
01
11
01
11
11
10
00
00
10
11
00
00
11
11
01
01
11
10
01
11
10
00
00
00
00
10
10
00
01
00
00
10
01
00
10
00
00
01
10
01
00
00
00
10
10
01
11
10
10
10
11
10
11
00
00
10
10
00
01
10
10
10
10
00
00
01
10
00
10
00
00
11
11
00
00
10
10
10
00
00
10
00
10
10
10
11
01
01
11
00
11
10
10
00
01
10
00
10
01
11
11
11
10
10
01
00
10
10
00
11
00
10
10
00
00
10
10
00
00
00
11
00
01
01
01
00
00
11
10
00
00
11
01
10
11
01
10
11
01
01
10
10
11
00
00
11
10
10
10
01
10
00
00
10
11
10
00
01
00
10
01
11
00
11
00
10
00
00
00
00
11
10
00
00
10
10
00
10
10
10
00
10
10
10
10
01
10
00
10
00
00
11
11
00
11
10
01
00
11
10
00
00
10
11
00
00
11
00
01
10
01
11
01
01
10
00
10
11
00
00
00
10
10
10
00
00
10
10
10
01
00
10
10
00
00
10
00
11
11
11
00
00
10
10
10
01
11
11
10
10
00
10
00
11
10
00
01
01
00
10
00
00
10
10
00
00
00
00
11
00
10
10
10
10
10
10
00
01
11
10
01
01
10
10
00
00
10
10
01
00
10
10
11
01
01
11
01
00
01
00
01
01
00
10
10
10
11
00
01
00
11
10
10
10
00
00
10
11
00
01
10
11
10
01
00
00
11
10
11
11
00
00
11
10
10
10
01
01
01
00
10
00
00
01
10
11
11
00
10
00
10
01
11
10
00
10
00
01
10
10
00
00
10
01
00
01
10
01
01
00
10
10
10
01
10
11
10
00
01
00
10
00
00
00
10
11
01
10
11
00
00
10
00
01
11
11
01
11
11
11
10
01
10
10
01
01
11
10
01
00
00
01
10
10
01
01
11
00
00
11
10
10
00
01
10
01
10
10
11
10
01
01
10
10
10
01
00
00
10
10
10
01
10
01
00
11
10
01
10
10
00
01
00
10
00
10
01
11
10
11
10
01
00
01
11
00
10
10
01
10
10
00
11
10
11
01
00
11
10
01
10
11
10
10
00
00
00
11
00
10
10
00
00
00
10
01
00
10
00
00
11
10
00
10
11
10
00
00
11
10
10
11
00
11
00
11
10
00
11
11
00
00
10
10
01
00
00
00
11
10
11
00
11
00
10
00
00
11
01
10
10
11
10
00
01
10
11
01
00
00
00
00
11
11
00
00
01
10
10
00
00
10
01
00
00
00
10
11
11
11
00
01
00
10
00
10
01
10
11
01
01
01
10
00
10
11
00
00
11
10
00
10
11
00
10
10
01
10
10
00
11
11
10
01
00
10
00
10
00
01
00
10
10
00
10
10
10
01
10
00
00
00
10
10
00
10
00
10
11
01
10
11
10
11
01
11
10
10
11
01
00
00
11
10
00
10
00
10
10
01
10
01
11
11
00
00
01
00
11
01
01
10
10
11
10
11
00
00
11
00
00
11
00
01
00
11
10
01
01
10
00
00
01
11
11
10
00
10
00
00
11
10
00
01
10
00
00
00
11
00
00
11
10
11
00
00
00
00
01
01
10
00
01
00
10
10
10
11
01
01
00
10
01
01
11
11
00
01
10
10
01
00
10
01
10
10
00
11
10
11
00
10
10
01
00
11
10
00
00
01
10
01
01
10
00
00
00
11
11
01
10
11
00
10
00
01
10
11
10
00
00
01
10
10
00
11
10
01
10
00
10
00
00
11
10
01
11
10
01
01
11
00
01
10
10
01
00
11
11
10
00
10
01
00
11
00
00
11
10
10
01
10
10
00
00
10
10
00
01
11
10
10
11
01
00
00
11
10
11
00
00
01
11
00
11
00
10
00
00
00
00
00
11
11
10
01
01
11
00
00
00
10
10
00
11
11
01
00
00
00
00
10
01
10
10
00
00
10
01
10
10
10
00
01
10
11
00
00
00
10
00
00
00
11
00
00
11
00
01
10
11
10
11
10
01
10
10
11
00
11
10
10
00
10
01
00
11
10
10
00
10
11
00
00
10
00
00
00
10
11
10
00
00
11
01
01
10
10
00
01
00
01
00
10
10
10
10
00
00
00
00
00
10
11
01
10
01
10
01
00
10
00
00
10
10
00
00
11
01
11
10
01
11
11
10
01
11
10
01
00
00
11
00
10
10
00
00
00
01
10
01
00
00
00
01
11
10
11
00
00
10
10
01
00
01
10
00
10
10
00
10
10
00
11
00
00
11
00
10
11
10
00
00
00
11
11
01
00
10
10
00
10
11
00
01
00
00
10
01
11
00
00
10
11
10
10
10
00
00
00
11
11
11
01
00
11
00
10
01
10
00
00
00
11
10
00
01
11
10
11
00
10
10
00
00
11
10
00
11
10
11
00
10
00
00
11
11
01
01
10
11
00
10
10
00
01
10
10
00
01
10
10
10
00
10
10
00
10
01
00
10
11
01
11
00
10
01
10
10
00
10
00
01
00
10
11
10
11
00
10
11
10
00
11
01
01
10
11
11
10
00
10
11
00
10
10
00
01
10
01
10
00
10
10
00
10
00
01
10
10
00
10
00
00
00
10
00
00
00
00
11
10
10
11
11
01
10
00
00
00
01
01
10
10
11
00
00
11
10
11
00
11
10
00
11
00
01
11
00
11
00
01
00
10
10
00
01
10
00
00
00
10
10
10
00
00
10
10
00
00
10
11
11
11
11
00
10
00
01
00
00
00
10
10
10
10
00
11
10
01
01
11
10
11
01
01
10
00
01
00
10
10
10
00
00
10
11
00
00
00
11
00
00
11
11
11
10
01
00
11
10
01
10
00
00
10
00
10
10
01
01
11
00
01
10
00
01
10
01
00
00
10
11
01
10
01
01
00
00
11
10
10
00
01
00
10
00
00
10
11
11
10
11
00
00
10
01
11
11
11
10
00
10
11
10
00
01
10
10
10
01
00
01
11
11
11
01
01
10
10
01
00
00
10
00
00
10
10
10
00
01
00
11
10
00
00
10
10
10
11
01
00
00
11
10
00
10
00
01
01
10
11
00
00
00
10
10
00
00
10
01
00
10
11
10
10
10
00
00
00
10
10
01
00
00
10
11
01
10
11
01
10
10
10
00
01
11
11
10
00
00
10
10
01
00
11
10
01
10
10
01
00
10
11
01
11
00
10
00
10
10
01
10
10
00
00
00
10
00
00
00
10
10
00
10
11
10
10
01
00
01
01
01
10
11
00
10
11
10
01
00
00
00
10
00
00
10
10
00
00
00
00
10
10
10
00
10
11
01
00
00
01
00
11
10
01
11
11
00
00
10
10
01
01
10
10
00
10
10
11
00
00
00
11
11
00
00
01
11
00
10
10
01
11
00
00
00
11
00
10
10
10
01
11
00
00
10
00
10
11
10
00
00
10
10
10
10
11
00
10
10
01
10
00
10
10
00
01
00
00
10
10
10
01
00
10
01
10
10
11
01
10
00
00
10
10
10
00
01
00
01
10
11
10
10
11
00
10
00
10
10
00
01
00
11
10
00
01
10
10
10
10
10
01
01
11
01
00
01
11
10
01
00
10
01
00
11
11
10
01
00
11
00
10
10
10
00
10
10
00
10
10
10
00
01
10
11
11
10
11
01
00
01
00
11
11
11
01
10
00
10
10
01
00
11
10
01
01
01
00
00
10
11
01
00
00
10
10
11
00
01
10
00
01
10
01
00
11
11
00
00
10
00
01
10
10
00
10
10
00
00
01
00
10
10
10
10
11
01
10
01
00
11
00
00
01
10
10
00
01
10
11
10
10
00
01
00
10
10
10
01
00
10
10
11
01
00
01
10
10
00
10
11
00
01
10
10
10
10
01
01
01
11
01
10
10
00
11
10
01
00
10
10
01
11
10
10
00
10
00
00
01
10
11
00
00
10
00
00
11
00
00
00
00
11
00
01
10
00
01
10
00
10
10
01
01
10
10
01
10
11
10
01
00
00
11
11
10
10
10
00
01
00
01
10
11
01
10
00
11
00
00
10
00
00
10
01
10
10
00
10
10
00
01
10
10
10
00
11
00
00
11
11
00
10
00
00
10
00
11
10
00
00
00
00
00
11
01
00
10
10
10
00
01
01
10
10
10
10
11
01
00
00
10
01
00
11
10
00
00
00
11
11
10
00
00
00
11
10
00
11
10
01
00
00
01
00
11
10
11
00
00
10
10
00
00
10
10
00
00
11
00
00
00
00
11
11
00
00
11
11
00
10
11
00
10
00
01
10
10
10
00
00
11
00
10
11
11
10
00
11
10
11
10
10
00
01
00
00
10
10
10
00
10
10
10
00
11
10
01
00
00
10
00
10
10
10
01
01
10
10
10
00
00
00
10
10
10
10
00
11
10
01
00
00
10
11
01
01
11
10
00
01
10
10
11
11
01
11
10
10
10
01
00
01
10
11
00
00
10
10
01
00
00
11
10
00
10
10
11
10
10
10
00
00
00
00
10
01
11
10
00
01
10
00
01
10
01
10
10
00
00
00
11
00
01
00
11
10
01
00
11
00
10
10
01
00
11
11
00
10
11
10
00
00
11
01
11
10
11
11
01
10
01
10
11
01
00
10
10
00
00
00
11
10
10
10
00
01
11
00
00
00
10
10
10
00
10
00
10
00
10
11
00
00
00
00
10
00
10
10
00
00
11
10
10
00
10
01
10
01
10
11
00
10
10
01
00
11
00
00
11
00
10
11
10
00
10
00
00
00
10
00
10
10
00
10
01
10
10
00
10
10
01
00
11
01
10
00
00
00
00
00
10
00
11
11
11
10
11
00
10
11
11
00
10
11
00
10
10
10
00
00
00
00
00
00
00
00
00
01
10
00
00
00
11
01
10
01
10
11
10
10
10
00
11
01
00
10
01
00
10
01
11
11
00
10
00
10
10
00
00
11
11
10
00
00
10
01
00
11
01
01
01
10
01
01
10
11
11
00
01
10
01
01
01
10
10
01
01
01
10
10
00
00
11
10
01
00
00
00
10
00
10
11
00
11
00
01
10
10
11
01
00
10
10
00
10
01
00
11
11
01
11
10
10
10
01
00
00
00
10
00
10
10
00
10
10
00
00
10
00
01
01
10
10
01
10
10
11
10
10
11
01
00
01
00
11
10
10
00
01
00
10
01
00
11
10
00
11
00
10
00
10
10
00
00
10
00
10
00
00
00
11
11
11
11
11
01
00
10
10
10
10
00
01
10
00
10
00
00
11
11
00
10
10
10
01
00
11
00
01
00
10
01
01
10
10
00
00
10
11
11
10
10
11
00
10
11
00
10
10
00
01
01
10
01
00
00
10
01
00
10
10
00
11
10
10
00
11
11
00
10
01
01
01
10
01
10
11
11
10
00
01
11
10
00
00
11
10
00
01
10
00
01
11
10
00
00
11
11
10
00
01
10
00
11
11
10
10
11
01
01
00
10
00
10
10
00
10
00
00
00
10
11
01
01
00
01
10
01
11
01
00
10
00
00
10
10
10
00
10
10
11
10
00
11
00
00
11
11
00
11
11
11
11
00
10
11
00
00
11
11
01
00
00
00
00
00
01
11
10
01
00
10
10
11
11
10
00
00
10
11
00
00
01
01
10
00
10
11
00
01
10
11
00
10
10
01
01
10
00
00
00
01
11
10
11
10
01
01
11
11
00
00
00
10
11
01
01
00
10
11
00
00
10
11
11
00
01
10
00
00
00
10
11
01
10
10
00
10
00
11
11
00
00
10
11
00
10
10
00
11
11
11
00
01
11
11
00
10
11
10
10
00
00
00
01
00
10
10
00
01
01
01
00
10
00
10
11
00
00
00
01
11
11
00
00
11
11
00
00
10
10
10
10
10
11
00
00
10
11
00
00
01
10
01
11
10
00
10
11
00
00
10
11
00
10
00
00
10
00
00
10
01
00
00
10
00
11
10
00
00
00
10
00
00
00
01
11
01
10
11
00
00
00
10
10
10
10
10
00
11
00
00
00
00
10
00
00
10
00
00
00
00
00
10
10
11
00
00
00
00
10
10
00
00
10
00
01
11
00
11
01
01
01
10
01
10
11
01
10
10
01
00
10
00
10
10
00
00
00
01
10
11
11
01
00
01
01
10
10
10
11
10
00
00
00
00
10
10
10
11
10
01
00
11
10
11
10
01
10
11
01
00
00
11
10
00
10
10
00
00
11
10
01
00
10
11
10
10
00
11
00
01
01
11
00
00
00
10
01
00
11
11
11
10
01
10
10
00
00
00
10
11
00
10
00
00
01
00
10
00
00
11
01
01
10
10
01
10
11
10
01
00
10
00
10
00
10
11
10
00
00
01
11
00
11
01
10
10
10
00
00
00
11
10
11
00
10
00
10
00
00
11
10
00
00
01
00
10
01
00
10
00
10
00
01
10
11
01
00
10
01
11
10
00
00
00
01
11
11
01
01
10
10
00
00
00
00
11
10
11
00
11
00
00
00
10
01
00
11
01
00
10
11
00
11
00
00
01
11
11
00
01
10
00
00
10
11
10
00
00
10
01
11
01
00
00
10
00
00
10
10
01
00
10
01
00
10
10
10
11
00
01
10
10
00
00
11
10
10
00
11
10
00
00
10
11
10
11
00
00
11
10
00
00
00
10
00
10
11
00
11
10
10
00
10
10
00
10
01
01
10
00
00
00
00
11
10
00
00
00
10
10
11
01
01
00
00
00
10
01
10
00
00
11
10
11
00
10
00
11
00
11
10
00
00
10
00
11
10
00
00
10
10
01
11
11
00
01
11
11
10
00
00
10
10
00
10
10
11
01
11
10
00
10
00
00
10
10
00
01
00
10
00
10
00
11
00
10
01
11
10
11
01
00
11
10
10
01
00
01
00
10
10
11
01
01
11
01
11
11
01
10
10
00
01
10
11
01
01
10
01
10
11
00
01
00
10
10
00
00
10
10
00
00
11
10
01
00
00
01
01
11
10
10
01
10
00
11
10
00
11
00
00
10
10
00
00
10
01
10
10
11
00
10
00
11
10
01
10
11
10
10
10
01
00
00
11
10
00
11
10
01
10
00
01
10
10
11
10
11
10
00
01
00
01
10
01
11
00
00
10
11
01
00
10
10
10
01
11
00
10
00
11
10
00
01
00
10
11
00
01
00
00
10
10
00
00
00
10
10
00
00
01
10
10
01
00
00
00
10
10
11
01
01
10
11
10
10
00
01
11
10
00
00
01
00
10
10
10
10
00
01
11
00
01
00
10
01
00
10
00
00
11
11
10
01
11
01
10
10
11
00
11
10
10
00
11
10
00
10
10
00
10
11
10
00
01
10
00
01
00
10
10
00
10
11
00
00
00
11
10
10
00
10
10
01
10
01
10
10
00
10
00
01
10
10
10
11
10
10
00
00
00
10
00
10
11
10
01
10
10
00
10
10
11
00
00
11
00
00
10
10
01
10
00
00
10
00
11
00
01
11
10
10
10
10
01
01
00
11
01
10
01
10
10
10
00
01
00
10
10
11
00
01
11
11
10
10
11
00
11
10
01
00
10
10
01
10
10
10
11
00
11
10
01
11
10
01
00
01
10
11
10
00
10
10
00
00
00
10
11
00
00
00
10
10
00
11
00
00
01
10
01
01
01
11
11
10
01
00
00
00
11
11
01
00
11
01
10
00
00
10
10
00
00
10
00
01
01
00
10
01
01
01
00
10
01
01
00
00
10
10
00
11
00
00
00
11
00
00
11
11
11
10
11
00
10
10
00
10
11
11
01
01
00
10
10
00
00
01
10
10
00
01
01
10
00
00
11
10
10
00
00
11
00
10
11
10
01
10
10
01
00
10
10
10
00
10
11
01
00
10
01
11
10
00
00
10
00
00
10
10
01
00
00
10
10
10
11
01
00
00
01
11
10
00
00
10
10
00
10
00
00
01
10
01
01
00
10
10
10
01
01
10
10
11
00
01
11
00
11
00
00
11
00
10
01
10
11
00
00
00
10
10
11
11
00
10
10
10
01
01
10
10
00
01
10
10
10
00
10
10
00
00
00
00
00
00
10
00
00
10
00
10
00
10
10
00
10
10
11
10
10
01
01
00
01
01
10
10
10
00
10
11
00
00
11
00
10
11
11
10
11
01
10
00
10
10
00
00
00
01
11
00
11
11
00
11
00
10
01
00
11
10
11
00
00
11
01
01
10
11
00
01
10
10
10
00
10
00
10
00
00
10
10
00
00
11
10
11
10
00
11
11
00
00
10
11
01
00
00
11
10
00
00
10
00
00
00
00
11
10
10
00
00
10
01
00
10
01
00
11
11
10
11
00
00
00
00
11
00
00
10
00
01
10
00
11
01
11
10
10
11
10
10
11
00
01
00
10
10
11
10
11
00
11
10
10
00
01
01
10
00
00
10
00
11
10
01
00
00
11
10
10
01
10
11
00
00
11
11
00
10
10
11
01
10
11
00
11
10
11
00
01
11
10
11
00
01
10
11
00
11
10
00
01
10
11
00
00
01
10
10
11
00
10
10
11
00
10
11
01
11
10
10
00
01
00
10
11
10
00
10
01
00
00
11
00
00
00
11
10
10
10
00
00
10
00
10
00
00
10
11
10
10
01
10
10
11
10
11
10
11
00
00
10
10
01
01
01
10
00
00
10
01
00
00
10
11
01
10
01
10
10
01
10
10
00
01
10
00
00
10
11
10
10
01
01
11
11
10
00
00
11
00
10
10
10
00
00
10
10
01
10
10
10
00
11
10
11
10
00
01
11
11
01
00
00
01
10
10
01
01
10
10
01
00
00
10
11
10
00
10
00
00
10
00
01
00
11
11
00
10
00
00
11
00
00
10
01
00
00
10
10
01
10
10
00
00
00
10
00
00
00
11
10
00
10
00
00
01
11
11
01
00
00
10
00
01
10
10
00
00
10
00
00
00
10
00
10
11
00
10
10
00
00
10
00
00
00
11
00
01
11
01
10
10
00
00
10
10
11
00
10
10
01
10
10
10
10
10
10
01
00
00
00
11
10
00
01
00
00
10
10
10
10
00
10
00
01
10
10
01
11
10
11
00
10
00
01
11
10
00
10
11
00
00
00
01
00
10
10
00
10
10
00
01
10
00
00
10
10
11
10
00
00
10
10
10
01
00
10
10
00
10
00
10
11
01
00
11
00
10
11
00
01
11
10
00
00
00
10
00
01
11
11
00
00
00
00
00
00
10
11
10
00
10
00
10
11
01
10
01
00
01
11
00
01
10
01
00
10
10
01
10
10
10
10
01
00
00
01
00
01
00
00
00
01
10
11
00
01
00
10
01
11
00
00
10
11
11
00
00
00
01
10
10
01
10
00
00
11
10
00
10
00
10
10
11
11
00
11
10
00
00
00
10
00
00
11
10
01
01
10
00
00
01
00
00
10
11
00
01
10
11
00
01
00
00
00
10
10
00
00
00
00
10
01
00
11
11
10
10
00
10
01
00
01
10
11
01
10
11
00
11
10
10
00
10
01
10
00
01
01
00
00
10
11
00
01
10
00
10
10
01
00
01
00
10
10
11
10
10
00
00
10
01
00
10
01
01
00
01
11
01
11
10
00
00
10
10
01
01
11
11
00
10
00
00
11
00
01
00
10
11
11
01
01
00
11
10
01
01
10
10
00
10
10
00
00
00
11
11
00
11
11
10
00
00
00
01
00
10
11
10
01
00
01
11
00
11
11
01
10
10
10
01
01
10
00
00
10
01
01
11
00
10
00
00
00
01
10
01
01
11
10
01
11
10
00
00
00
10
11
10
00
00
10
00
10
00
01
10
00
00
10
00
10
10
01
10
11
10
00
00
00
11
10
00
00
10
11
10
10
00
11
11
01
11
01
00
10
10
01
01
11
00
01
10
10
00
11
10
01
11
10
10
10
00
01
01
10
11
00
00
10
00
00
01
01
10
01
00
01
00
11
10
10
10
01
00
11
01
00
10
00
00
10
00
00
11
10
10
01
00
10
00
10
11
01
10
01
00
01
01
01
10
10
01
00
01
10
01
00
10
00
00
11
10
10
00
10
10
10
00
00
00
10
00
00
10
10
11
00
10
10
10
00
10
00
01
10
10
01
00
10
11
00
11
10
10
01
11
11
10
00
00
11
10
10
00
01
10
10
11
11
00
00
00
00
11
00
10
01
01
10
11
11
00
01
10
00
11
00
11
10
01
00
10
10
11
01
10
10
01
11
10
00
00
00
10
10
00
10
11
11
10
00
00
00
10
10
01
10
11
01
10
10
10
01
00
01
10
11
10
01
10
01
11
10
00
10
00
00
00
10
10
00
00
10
00
01
11
10
11
10
11
10
00
11
00
11
10
00
00
00
00
10
10
01
10
10
00
10
10
00
01
10
01
00
01
01
11
11
00
10
11
10
11
00
00
00
10
10
00
00
00
00
10
10
01
00
10
10
01
11
00
10
10
00
00
11
00
00
11
00
01
10
01
01
11
11
10
01
00
01
00
10
00
11
10
00
10
11
01
00
10
10
10
01
00
01
10
01
00
00
01
00
01
11
01
01
00
00
10
00
00
10
10
00
11
00
10
00
10
00
00
10
10
10
00
10
00
00
10
00
00
10
11
00
00
10
01
00
00
10
10
00
01
10
01
00
11
01
10
11
10
11
10
00
01
01
10
10
00
10
11
10
11
01
01
00
11
00
10
00
10
11
00
01
00
00
10
00
01
11
10
11
10
10
00
01
10
11
10
00
00
01
10
00
01
10
00
01
00
10
00
01
10
11
00
11
11
00
10
00
01
00
10
11
01
10
11
01
10
00
10
11
00
00
00
01
11
10
00
10
00
10
00
10
10
11
00
10
00
10
10
11
01
01
00
10
10
10
11
00
00
11
11
00
10
10
01
00
11
00
10
10
11
00
01
11
10
11
00
00
11
10
00
10
01
00
01
10
10
11
01
00
01
00
11
11
01
11
00
10
10
00
01
10
10
00
10
10
10
10
01
00
10
10
11
11
00
00
10
00
00
10
10
00
01
00
00
00
00
10
10
00
00
01
10
11
11
00
10
10
10
10
10
01
00
10
11
00
11
01
00
10
10
01
01
10
10
00
10
10
10
10
10
10
01
01
00
00
10
01
00
10
01
01
00
01
00
10
11
10
11
10
11
01
11
00
00
11
00
10
11
11
10
00
11
10
11
10
01
11
10
10
01
10
01
01
01
10
10
01
10
00
11
00
01
10
01
01
01
10
11
00
10
10
10
00
11
10
00
00
00
00
00
01
00
10
11
01
00
11
11
11
00
11
00
10
10
01
00
10
00
00
10
10
00
10
10
00
00
01
10
10
11
00
00
00
10
11
10
10
00
00
00
10
11
10
11
00
00
10
00
10
11
11
10
01
00
11
10
01
10
11
11
00
10
11
01
01
01
00
00
10
00
10
11
00
00
01
00
10
10
01
01
00
11
10
11
00
00
10
10
00
01
10
11
00
01
00
00
00
10
01
00
10
10
10
00
10
11
01
00
00
10
00
00
10
00
01
10
11
00
01
00
00
11
10
01
00
10
00
00
10
00
00
10
10
00
11
10
00
10
00
10
11
10
10
00
10
00
00
10
00
01
10
00
10
00
00
00
00
10
10
10
11
01
00
01
11
00
10
01
01
10
00
10
10
11
00
10
00
01
01
10
00
10
00
11
01
10
00
01
11
10
01
01
11
00
00
11
10
11
00
01
10
11
10
01
00
00
11
10
10
01
01
10
01
11
10
11
00
00
00
00
11
11
10
01
00
10
10
10
00
10
11
01
01
00
00
01
10
11
11
10
00
01
10
10
00
00
00
01
01
10
10
10
11
01
01
10
01
11
11
00
10
00
10
11
00
10
00
01
11
00
00
01
10
11
10
10
11
10
00
10
01
00
10
10
01
01
10
00
11
10
10
00
00
01
00
10
00
00
10
10
00
10
00
00
10
10
00
10
10
10
10
00
11
00
01
00
01
10
11
00
10
00
00
10
10
10
01
10
00
10
01
00
10
10
10
00
10
10
00
11
00
01
11
00
11
10
00
00
00
10
00
10
11
10
10
10
10
10
10
00
11
00
11
10
11
00
01
00
00
10
10
10
10
10
00
11
00
11
01
01
10
00
10
10
10
11
00
00
01
00
10
10
10
00
11
11
00
00
10
11
00
11
10
11
01
00
00
10
00
10
10
01
10
00
00
10
10
10
00
00
11
11
10
10
10
10
00
00
00
00
01
10
00
00
11
00
11
01
11
00
00
00
11
00
00
10
10
10
00
10
00
10
01
01
01
01
10
11
01
11
10
01
10
10
01
00
00
10
10
00
00
00
10
11
00
00
11
01
01
01
10
10
00
00
10
01
01
11
11
11
10
00
10
00
00
10
00
11
00
11
10
01
10
10
11
10
01
10
00
10
00
10
11
00
01
10
10
10
00
00
10
00
00
01
10
00
11
00
11
01
00
00
10
00
00
10
11
10
01
00
00
10
01
01
10
10
10
11
01
00
10
10
10
01
00
00
11
00
11
11
10
00
00
00
11
10
00
10
10
00
00
01
11
00
01
10
11
10
01
01
10
10
00
10
11
11
01
11
10
00
01
10
00
00
10
10
00
01
00
01
01
00
10
00
00
00
11
10
10
11
00
00
00
00
11
10
01
01
11
00
10
10
10
01
00
10
10
10
01
10
01
10
00
00
11
10
10
01
00
10
00
10
00
10
00
01
11
11
10
00
00
10
01
11
10
00
00
10
00
10
00
10
10
10
00
10
10
10
10
10
00
00
11
10
10
10
10
11
00
00
10
01
00
11
00
00
10
10
10
01
01
01
11
00
00
10
10
01
00
00
11
11
00
01
01
11
01
00
11
00
01
00
01
11
10
11
11
00
01
00
11
10
01
00
11
10
00
11
10
10
10
10
10
10
00
01
11
00
10
11
01
00
00
00
10
10
01
10
11
01
10
01
01
10
00
00
01
01
00
10
10
01
00
01
10
10
00
00
11
10
00
00
00
10
10
10
00
10
00
00
11
10
11
11
10
01
11
11
11
10
00
11
11
00
10
10
00
00
11
11
00
11
01
11
11
00
01
00
10
01
10
00
10
11
01
01
10
10
00
10
10
00
00
10
11
10
01
11
11
00
00
00
10
10
00
10
11
00
01
01
11
00
10
00
00
00
10
10
00
01
11
11
11
01
10
01
10
10
00
01
11
10
01
10
10
00
10
00
10
11
00
10
10
10
10
01
00
10
10
10
00
10
10
00
10
10
00
11
10
11
00
00
00
00
11
10
01
01
11
01
11
11
10
10
00
10
10
00
01
11
00
01
11
10
10
10
00
00
10
11
11
00
10
00
00
11
10
00
00
00
00
10
10
10
01
10
11
10
10
11
00
00
11
00
01
00
11
10
01
01
00
00
10
10
00
00
10
01
10
10
00
10
11
00
00
01
01
00
10
10
00
11
01
00
10
00
01
01
00
01
00
01
10
01
11
10
00
00
00
10
10
00
00
00
10
00
00
10
11
00
00
00
11
10
10
00
01
01
00
11
00
11
00
00
11
11
10
01
11
11
00
10
10
10
01
00
00
00
00
10
10
11
10
00
00
10
00
10
10
00
00
11
00
00
00
00
11
10
00
00
00
10
10
11
01
11
10
01
01
00
00
01
10
10
10
00
00
10
00
00
10
10
01
01
10
00
11
01
11
00
00
01
10
11
10
11
01
10
11
00
11
10
10
10
10
10
01
10
00
10
01
10
11
01
10
00
01
10
01
00
10
10
10
00
00
11
10
01
00
00
00
10
10
10
10
00
00
11
00
10
10
10
11
10
10
00
10
10
00
11
00
10
00
00
10
11
11
00
10
01
00
10
00
00
10
10
10
00
00
00
00
00
11
11
01
00
11
00
00
11
10
01
00
11
11
00
11
10
11
00
00
10
10
10
00
10
11
00
00
00
00
10
00
00
00
10
10
01
11
10
10
01
11
10
00
01
01
00
11
10
00
00
00
10
10
01
00
00
10
00
11
10
11
10
10
11
00
00
00
00
11
00
01
11
11
00
01
00
00
11
10
01
00
00
10
01
10
10
01
00
10
11
11
11
01
01
00
00
11
00
11
10
00
00
00
11
10
01
10
00
11
00
00
00
00
10
01
00
11
00
10
01
10
00
01
11
10
00
01
10
10
11
00
00
10
00
10
11
10
10
01
11
00
01
00
00
11
10
01
10
10
00
10
01
10
10
00
11
10
11
11
00
00
00
10
10
11
01
00
10
10
11
00
00
11
10
10
10
00
00
11
11
00
00
10
01
00
01
00
01
00
00
10
11
10
10
00
00
11
10
10
10
00
01
11
10
01
00
11
00
00
10
00
01
10
00
01
10
00
10
00
10
10
11
10
00
01
00
01
11
01
00
11
10
01
10
11
00
00
11
00
01
01
01
11
10
10
11
11
00
01
10
10
10
10
00
00
11
10
00
00
10
01
11
01
01
10
00
00
11
10
11
00
00
00
11
11
10
00
01
00
11
10
00
11
10
10
10
00
10
10
10
01
00
01
10
10
10
00
11
11
10
01
00
01
11
00
11
01
00
10
10
00
01
01
10
00
00
00
00
00
11
11
00
00
11
01
10
10
10
00
00
10
00
01
10
11
10
00
11
10
10
01
00
10
11
01
00
10
10
10
00
10
10
11
00
10
10
01
11
10
10
01
01
11
01
01
00
00
10
10
01
11
11
10
10
11
10
10
11
01
10
10
01
01
00
10
10
11
10
10
00
00
00
11
01
00
00
11
10
10
11
00
10
10
11
01
00
11
10
10
01
10
00
00
11
11
01
00
00
00
00
00
01
11
11
10
00
00
00
01
10
10
00
00
10
10
10
00
00
11
10
01
11
00
00
01
00
00
11
10
10
00
01
00
10
01
10
11
01
00
10
01
00
10
00
10
00
10
10
00
00
10
10
10
10
10
10
00
01
10
00
01
00
00
00
00
11
00
01
10
10
00
10
01
00
01
10
11
00
10
10
00
00
11
10
01
11
11
11
00
10
01
11
10
11
01
00
01
00
10
10
10
00
00
10
11
10
01
01
10
00
10
11
00
10
10
10
01
00
11
00
00
10
00
00
00
00
10
00
00
00
00
10
00
00
10
00
00
11
11
10
10
10
11
11
10
00
10
01
10
00
00
11
00
00
10
10
01
01
01
00
00
11
00
10
11
01
00
11
10
01
10
11
00
00
10
10
01
10
10
10
00
11
11
00
00
00
00
00
01
11
00
10
01
11
01
00
01
00
11
10
00
01
10
00
00
11
10
10
10
10
00
00
10
01
00
10
10
00
10
00
01
10
11
00
10
00
11
00
00
10
11
00
10
11
01
01
11
11
00
01
10
10
00
10
11
01
00
01
10
10
10
00
10
00
11
10
01
01
11
11
10
10
10
00
01
10
10
00
00
01
10
10
01
00
10
01
00
10
10
01
10
01
00
11
10
11
00
00
00
10
11
01
01
00
00
01
00
01
10
10
00
11
01
11
00
00
11
01
10
10
00
00
01
01
10
00
00
10
10
00
11
10
00
10
11
00
00
10
11
11
01
01
01
00
10
00
00
10
10
10
00
01
10
10
10
00
00
00
00
10
00
00
11
11
10
01
00
11
01
11
11
00
00
10
10
00
00
11
11
00
00
00
00
00
11
00
10
10
00
11
10
00
10
10
00
10
01
00
10
11
10
00
00
01
10
10
00
00
10
10
01
00
00
11
10
11
10
00
10
01
00
10
01
00
00
11
10
11
11
01
00
10
11
10
10
00
10
01
00
10
01
10
10
10
00
00
00
11
10
00
11
00
00
00
10
11
00
11
00
10
00
00
01
00
11
10
00
00
10
01
10
10
00
00
10
00
11
10
01
00
10
00
00
01
00
10
10
01
11
00
01
11
10
10
00
10
10
10
00
00
00
10
01
00
10
10
01
00
11
00
00
10
11
00
10
00
01
10
10
11
10
11
00
01
11
11
00
11
01
00
11
00
00
11
11
11
00
00
10
01
00
10
11
00
01
00
00
00
01
00
00
00
10
11
11
10
10
01
10
01
00
10
00
00
00
10
00
01
10
10
00
00
00
10
10
00
10
10
11
10
00
10
10
01
01
00
10
00
00
01
00
00
10
01
01
01
01
10
00
00
00
01
10
11
00
00
11
00
01
10
01
01
00
01
01
01
10
10
00
10
00
00
10
11
00
00
11
10
00
00
00
10
00
00
00
01
10
00
10
10
00
10
10
01
11
00
01
10
11
11
00
10
10
00
10
10
01
00
10
10
10
11
00
00
00
01
00
11
01
11
11
11
10
11
10
01
00
00
10
10
10
00
01
11
00
11
00
00
11
00
10
10
10
00
01
10
01
00
10
10
10
01
00
10
10
01
00
10
10
11
00
01
00
00
01
10
00
10
00
10
10
01
00
00
11
00
00
00
00
01
00
10
10
10
01
11
10
00
00
01
11
11
00
11
10
00
10
10
01
01
11
01
00
01
00
01
10
10
00
10
10
10
00
01
11
11
00
01
10
11
00
11
00
01
11
10
01
11
11
01
01
00
01
01
10
11
00
00
01
11
10
10
10
01
00
10
10
01
00
01
00
11
00
01
11
00
01
10
10
01
10
10
00
10
10
00
00
10
00
11
01
00
00
00
10
11
10
01
00
00
00
01
01
00
00
10
10
10
11
00
10
01
01
10
11
00
10
01
00
10
00
00
10
10
01
10
01
01
11
01
10
10
10
10
00
10
01
10
10
00
01
00
00
00
10
01
10
10
01
01
10
11
00
00
10
00
00
01
10
10
10
00
10
00
00
11
11
00
10
01
00
11
10
10
10
01
00
10
01
00
00
01
00
10
10
00
01
10
00
10
11
10
10
01
00
00
11
10
00
10
00
00
10
00
10
10
01
10
01
11
00
00
00
10
10
00
01
10
10
00
00
00
10
00
00
10
11
11
01
00
00
10
00
10
10
01
01
00
10
10
00
00
10
00
00
11
00
00
11
10
10
11
11
10
10
01
00
10
10
00
10
10
00
00
10
01
10
10
00
11
00
10
00
11
00
10
01
00
01
00
10
10
01
00
01
00
10
10
10
01
01
01
10
10
11
10
11
11
00
00
10
11
10
01
00
10
11
00
00
01
00
10
10
10
10
00
00
00
10
11
11
00
00
10
00
00
10
11
00
10
10
00
10
00
11
01
00
10
00
00
00
00
10
10
10
00
11
10
00
11
10
10
01
10
11
10
10
00
10
10
00
10
11
00
10
10
00
11
10
10
00
00
10
01
00
11
11
01
00
11
10
10
10
01
10
11
10
00
01
10
10
00
10
10
11
11
01
11
01
00
00
11
01
00
10
10
01
00
00
01
10
01
01
00
11
11
01
01
10
10
00
00
11
10
01
00
10
00
10
10
10
10
10
00
10
10
10
10
00
00
00
00
11
10
00
00
11
10
11
00
11
00
01
01
11
01
00
00
11
10
01
11
10
00
00
00
11
00
11
01
00
10
00
00
10
01
11
10
00
00
10
11
10
00
01
01
10
01
10
11
10
00
00
10
10
01
10
11
11
01
00
11
01
00
01
11
10
00
00
10
10
10
00
01
10
01
11
00
10
10
00
10
01
01
11
10
00
00
10
10
11
00
01
00
10
00
10
00
00
10
10
00
00
10
10
00
10
10
11
00
00
10
11
10
00
11
00
01
01
11
10
10
00
00
11
10
01
00
01
00
10
00
10
10
00
01
10
11
10
10
10
10
00
10
00
00
11
00
11
10
11
10
11
10
01
00
10
01
00
11
10
10
11
01
01
00
01
10
01
00
10
10
00
00
11
00
10
00
00
01
00
00
01
11
11
10
01
10
11
00
00
10
11
00
01
01
10
00
00
10
11
00
01
00
10
10
11
00
00
10
10
00
00
11
10
00
10
11
11
11
00
01
00
00
11
10
10
01
10
00
00
10
00
00
00
10
10
10
00
00
00
11
00
10
00
10
11
10
01
00
11
11
00
00
11
10
10
00
00
10
11
10
01
10
00
11
10
01
01
00
11
00
00
10
01
01
10
11
10
11
10
00
11
10
00
00
00
10
10
10
00
00
10
11
10
11
00
11
01
11
01
00
10
11
00
01
01
11
10
00
10
00
00
10
00
00
00
10
00
00
00
00
11
00
01
11
10
10
11
00
10
10
00
11
00
00
00
01
01
00
11
00
00
10
01
10
10
10
10
01
10
00
00
01
00
00
00
10
10
00
10
00
00
10
10
01
10
10
11
00
00
00
00
11
10
00
00
11
00
11
11
00
10
10
00
10
00
11
11
00
01
10
11
11
01
00
01
11
00
01
11
01
10
11
00
10
00
00
00
10
10
01
10
10
00
01
10
10
11
00
00
00
00
11
10
10
11
00
01
00
11
10
11
10
10
10
01
00
10
10
00
10
10
00
00
10
10
10
01
00
11
11
11
11
01
11
10
00
00
11
11
00
00
11
00
10
11
01
00
00
10
00
11
10
00
00
10
01
01
01
00
11
11
00
11
10
00
10
01
00
01
01
10
10
00
00
10
00
00
00
10
11
01
01
01
10
00
11
01
11
00
11
01
01
11
10
10
00
10
10
01
00
10
10
01
00
00
10
10
01
10
11
10
10
00
11
00
00
10
00
10
01
10
11
00
00
10
01
00
10
10
00
00
10
00
01
11
00
01
10
10
10
11
00
11
00
00
00
01
00
01
10
11
10
00
00
00
00
10
10
00
01
00
11
10
01
11
10
10
11
01
10
01
01
10
10
11
10
00
01
00
10
01
10
11
10
00
01
01
00
10
11
00
10
00
10
11
00
10
00
00
00
01
00
10
10
00
10
00
10
11
10
10
00
10
10
01
10
00
01
00
11
00
00
11
00
10
10
00
00
00
00
01
11
11
01
10
01
10
10
00
00
00
11
10
00
10
01
00
00
00
10
11
00
11
00
11
10
11
01
00
01
10
01
00
10
10
00
00
10
10
01
00
01
00
00
10
00
11
10
10
00
00
00
10
10
01
10
10
00
00
10
01
10
10
10
10
00
10
10
01
11
00
01
10
10
01
10
10
10
10
01
01
10
10
00
00
01
10
11
00
00
00
11
10
00
01
11
10
00
11
10
00
11
11
00
00
11
01
10
10
01
01
00
11
10
11
10
00
00
10
10
00
10
00
00
00
10
10
00
10
11
00
00
10
10
01
11
10
00
01
10
10
00
11
11
01
00
00
00
00
01
00
00
10
10
10
00
10
10
01
00
01
00
11
11
00
00
10
00
10
10
00
00
10
10
00
10
00
10
10
10
01
00
00
00
10
00
00
00
11
00
10
01
10
10
01
00
00
11
00
10
10
01
11
10
00
00
00
00
01
11
10
10
10
00
00
11
01
11
00
01
00
00
01
10
11
00
10
11
10
10
00
10
10
01
00
10
01
00
10
01
10
00
10
01
11
00
01
11
10
10
10
00
11
11
00
01
10
00
00
01
10
01
01
10
11
10
10
00
00
11
10
10
00
00
11
00
10
11
11
11
00
11
10
00
00
10
00
00
10
11
01
10
11
11
01
10
01
00
10
10
00
00
01
10
00
00
11
01
00
01
01
00
00
01
10
00
00
10
10
10
00
11
01
01
00
00
00
10
00
00
00
10
10
01
00
11
00
00
11
10
11
10
00
01
00
00
00
01
10
01
10
00
10
00
10
00
10
10
10
01
00
00
01
10
00
11
01
10
10
00
01
11
10
01
00
00
00
11
00
00
10
11
10
00
11
00
01
00
01
10
11
01
11
10
01
11
10
10
00
00
00
10
01
11
10
01
10
01
10
01
00
10
00
00
10
01
01
10
10
11
11
00
00
00
10
10
11
00
00
01
10
00
00
11
00
10
01
00
10
10
10
00
10
11
00
00
00
00
00
11
10
01
00
10
10
11
11
00
01
10
10
00
11
01
00
10
10
00
00
00
01
11
11
00
11
10
10
00
00
01
10
00
00
11
11
01
10
01
01
10
10
10
00
01
00
10
10
01
00
11
00
01
10
10
00
00
00
11
00
10
00
00
00
10
10
10
00
00
10
00
11
10
00
00
01
10
00
00
10
00
10
01
00
01
10
01
10
10
11
00
01
10
01
10
00
00
11
01
01
01
10
00
10
10
11
00
00
11
11
10
00
11
00
10
10
10
01
10
00
00
00
10
00
10
11
01
11
01
10
10
01
01
10
01
01
10
00
00
10
10
10
11
01
11
10
10
00
00
00
01
10
01
10
00
10
01
10
11
00
11
00
01
10
10
00
00
10
10
00
00
10
01
00
01
11
10
10
11
10
00
10
10
10
01
00
00
00
00
11
00
01
10
00
01
11
10
00
10
11
00
10
00
00
10
00
11
11
10
00
01
11
10
10
01
00
00
11
00
10
01
00
10
11
00
00
00
10
10
10
01
11
00
01
10
00
10
00
00
11
10
00
01
00
11
01
11
11
10
00
01
11
10
00
11
00
11
00
10
01
10
10
00
00
00
11
00
11
00
00
00
10
00
10
00
00
00
10
10
01
00
00
01
10
10
10
10
11
00
00
01
10
00
11
01
00
00
10
10
00
11
10
10
00
01
00
11
00
10
10
00
01
10
11
00
11
10
10
11
10
11
00
11
10
01
00
11
11
01
00
11
00
10
10
01
00
10
00
00
10
01
01
00
00
10
10
11
00
10
10
10
01
00
10
00
01
00
10
10
01
00
11
10
00
10
00
10
00
10
10
11
10
00
10
00
00
00
11
10
00
00
10
00
00
11
10
01
00
10
00
10
10
10
00
11
00
00
00
01
10
00
10
11
00
00
10
00
00
10
10
01
11
11
00
00
10
11
10
00
00
10
00
10
11
10
00
01
01
00
01
00
00
00
00
10
01
00
10
11
00
11
10
10
00
00
10
01
00
10
00
00
00
00
00
10
01
10
00
01
11
11
01
00
00
11
11
10
10
10
00
10
11
01
00
10
10
00
00
01
00
10
11
10
00
00
00
00
11
11
01
10
11
01
10
00
10
10
00
00
10
01
01
10
00
10
01
01
10
11
01
00
10
10
00
10
10
00
10
11
00
00
10
01
00
10
00
10
00
01
01
00
00
10
10
00
00
00
10
11
01
11
10
10
00
10
00
11
10
00
00
00
11
01
10
10
00
11
10
01
01
10
11
10
10
01
01
10
10
10
00
01
01
00
10
01
11
10
01
00
10
10
00
01
00
11
11
10
10
00
00
10
10
10
01
01
11
00
10
00
00
01
01
10
01
00
11
11
11
10
00
00
10
00
01
10
10
10
11
00
00
00
00
10
10
00
10
00
01
11
01
00
00
00
10
00
00
11
11
10
11
11
11
10
10
10
01
00
10
11
00
11
11
01
00
00
11
11
00
11
01
00
00
11
00
11
11
10
11
10
10
00
10
10
01
10
10
00
10
00
10
11
00
00
11
11
10
11
01
10
00
00
10
10
11
01
01
01
10
01
00
10
10
01
00
10
00
00
00
10
10
10
10
01
11
00
11
00
10
11
10
10
01
01
10
10
10
10
10
11
01
01
00
00
10
00
00
11
11
01
00
11
10
11
00
10
11
01
00
11
00
00
11
00
00
00
10
10
10
00
01
10
10
00
10
10
10
00
01
00
10
11
10
01
00
10
01
00
11
00
01
11
11
10
11
01
01
00
11
10
00
10
01
00
00
00
11
00
10
10
00
01
00
01
10
10
10
00
11
11
01
00
11
01
11
00
01
10
11
01
11
00
10
01
01
01
10
01
10
10
00
10
00
10
01
10
11
00
00
10
10
10
00
10
11
01
00
00
00
10
01
10
01
00
01
10
11
10
00
00
11
10
00
10
10
11
11
01
10
10
00
01
01
10
10
01
00
11
11
00
10
01
01
10
00
01
10
10
00
00
00
10
10
01
00
00
00
10
10
00
10
00
00
10
10
10
10
10
00
00
00
01
00
01
00
01
11
00
00
11
00
00
00
10
10
11
01
01
00
11
00
00
00
00
10
10
00
01
11
01
10
11
01
00
10
10
00
11
10
01
00
11
10
11
01
00
01
10
10
00
01
10
11
10
00
01
00
11
00
10
10
01
01
10
11
01
00
10
10
00
00
00
11
10
10
11
11
01
01
11
10
11
10
00
01
10
10
10
01
00
10
11
00
11
00
11
01
01
10
00
00
11
11
01
10
10
00
11
00
01
11
00
00
11
01
00
10
11
00
01
10
11
00
01
00
00
00
10
00
01
10
10
00
10
01
10
10
10
01
00
00
10
10
11
11
10
11
00
10
01
10
00
10
00
00
11
10
10
10
10
10
00
01
01
00
11
00
01
01
10
11
11
00
10
00
00
10
10
01
00
00
10
01
01
00
10
10
00
10
10
00
00
00
10
00
11
11
10
00
10
01
10
00
00
10
00
01
00
00
10
01
10
10
10
00
01
10
00
10
10
10
00
11
00
00
11
10
00
11
01
01
10
11
00
01
10
10
00
11
10
00
11
10
01
10
10
00
10
01
11
11
00
10
01
00
10
10
10
00
00
10
10
00
01
00
00
01
10
01
10
11
10
00
00
10
00
01
10
01
00
01
01
01
10
11
00
01
00
10
00
01
00
11
11
01
11
00
10
11
00
11
11
00
00
11
10
11
01
00
11
10
00
00
00
10
01
01
10
10
00
10
10
10
01
01
10
01
00
10
11
11
01
01
10
10
10
11
10
10
00
00
10
10
01
01
10
11
00
11
00
01
11
00
01
10
11
11
11
00
00
10
00
00
10
10
00
00
10
00
10
10
10
01
00
01
00
10
10
01
00
10
01
00
00
11
10
01
11
00
10
01
00
10
11
00
00
00
10
00
00
10
10
10
01
10
00
10
10
01
10
00
10
10
00
00
01
11
00
01
00
11
11
10
00
10
10
11
00
01
10
10
10
11
00
01
00
10
01
10
11
10
01
00
10
10
10
11
00
01
11
00
01
01
00
00
01
11
01
10
11
10
00
11
10
01
11
10
00
10
10
01
00
11
00
10
10
00
00
01
10
01
00
10
01
10
01
01
00
11
00
11
11
11
01
01
00
01
10
10
00
00
01
01
10
10
10
01
00
00
10
00
10
00
10
11
00
10
00
00
00
01
10
00
11
00
00
00
10
00
10
00
11
00
00
11
10
10
01
00
00
10
11
01
10
10
00
00
11
00
11
01
00
10
00
00
10
10
00
10
10
10
00
11
00
01
00
10
11
11
10
01
10
10
11
10
00
00
10
10
00
11
00
10
11
11
10
00
00
00
11
00
10
10
00
10
01
00
01
10
10
10
00
01
00
00
11
10
10
10
10
11
10
00
10
11
01
01
00
00
00
00
10
00
00
10
11
01
00
10
01
00
10
00
00
00
00
10
10
00
00
11
00
10
11
00
01
10
10
11
00
10
10
11
11
01
00
10
10
01
00
10
01
11
00
10
10
01
00
10
00
11
10
11
00
10
00
00
10
00
00
10
11
10
11
11
00
00
01
10
01
00
11
01
00
11
10
10
01
10
11
01
10
10
01
01
10
10
01
10
01
10
10
00
11
11
00
11
10
01
10
10
00
00
11
10
11
00
01
10
10
10
11
01
01
10
00
00
00
11
11
00
01
11
11
00
10
00
11
00
11
11
11
10
01
00
10
00
01
00
10
10
00
01
10
00
10
01
00
00
00
10
01
01
01
10
01
00
11
00
10
11
00
11
10
00
11
00
11
10
11
00
01
00
00
00
10
10
00
01
10
01
11
10
00
01
10
10
00
00
10
10
00
01
01
10
00
00
10
11
00
01
10
00
01
00
01
00
11
11
00
00
00
10
11
10
00
10
00
10
10
10
00
10
10
11
10
00
11
10
11
00
00
00
00
10
10
00
11
01
00
11
11
01
11
01
00
00
10
11
10
10
10
00
00
01
10
00
11
10
00
10
00
10
01
00
00
00
10
00
01
10
00
11
00
01
10
00
00
00
10
10
11
11
10
10
01
11
00
10
10
10
10
00
10
01
11
10
10
00
00
01
10
00
10
10
10
10
10
01
11
01
00
10
00
00
10
00
00
10
00
10
11
01
11
00
00
00
00
01
10
10
00
00
01
00
10
10
10
01
00
01
00
00
01
10
11
11
10
00
00
00
00
00
10
00
01
10
01
00
10
10
00
01
10
01
01
01
01
10
01
00
10
01
11
10
00
10
11
11
10
00
10
10
00
00
00
10
10
10
00
11
00
01
11
00
10
10
11
00
10
10
11
10
10
11
01
00
11
10
01
10
11
01
10
10
01
10
10
10
00
01
01
11
11
11
10
10
10
10
10
00
00
10
10
10
11
01
01
11
00
00
01
01
11
00
00
10
00
00
01
11
10
10
00
00
10
10
00
00
11
11
00
10
10
11
00
10
10
11
00
10
11
01
00
00
10
10
10
10
10
00
00
00
01
01
00
00
10
10
11
01
01
10
10
01
10
10
00
11
11
00
00
00
11
11
00
10
11
11
01
01
01
11
00
10
10
00
00
10
11
00
00
00
11
00
11
10
11
00
11
01
01
00
10
00
00
00
00
10
10
00
10
00
01
00
11
00
00
10
10
10
01
10
01
00
10
11
00
10
00
11
10
11
10
11
00
00
00
00
00
10
10
10
10
00
00
00
11
10
01
01
10
10
10
00
11
00
00
10
10
01
00
10
11
00
10
11
00
00
00
10
10
01
00
00
10
00
01
10
10
11
01
01
00
00
10
00
00
10
01
00
10
01
11
00
01
10
00
01
11
11
01
00
10
11
10
01
00
10
10
01
11
10
00
01
00
10
00
01
11
01
01
10
00
10
00
10
10
11
01
10
00
00
11
01
00
10
11
01
00
10
00
01
00
11
11
11
00
01
11
10
11
00
00
00
10
10
10
10
00
00
11
10
10
00
00
01
01
11
10
00
00
01
00
01
00
10
00
00
00
11
01
10
11
01
01
01
00
10
00
10
10
00
00
10
00
00
11
00
11
11
10
01
00
10
10
01
00
11
10
00
10
01
10
11
01
00
00
00
11
00
10
11
01
10
00
10
00
11
11
01
11
11
00
10
11
01
01
10
11
00
10
00
00
10
10
10
01
10
10
11
00
00
00
00
10
00
01
00
01
10
10
01
10
00
10
10
00
00
11
11
10
01
01
00
11
01
01
10
11
00
01
10
10
11
01
10
01
00
01
00
11
10
01
10
10
00
00
00
10
10
00
10
10
01
10
00
10
10
00
00
00
00
00
10
10
00
10
10
00
01
11
10
00
00
11
10
10
11
00
10
00
10
00
11
11
00
01
10
10
11
00
00
00
10
11
11
11
10
10
11
10
00
00
01
10
01
10
10
00
00
10
10
10
01
01
10
00
10
10
00
01
10
01
00
01
10
00
00
10
01
00
10
10
01
00
01
10
00
11
10
10
01
00
00
01
11
11
10
00
00
10
11
00
10
11
00
01
00
11
11
10
00
01
00
11
10
01
00
10
00
00
00
10
10
10
00
00
11
11
10
11
01
10
10
00
01
11
11
00
00
11
10
01
01
10
10
10
00
10
00
00
10
00
01
01
00
11
01
00
10
10
00
10
00
10
11
00
10
00
00
11
01
01
01
00
11
11
00
00
10
10
00
00
10
11
00
01
00
10
11
00
01
00
10
01
00
10
10
10
01
10
10
10
10
10
01
00
11
10
10
10
00
10
01
10
01
00
00
11
11
11
01
01
10
10
10
00
00
00
10
10
01
01
01
11
00
10
00
10
00
00
10
00
00
11
10
10
10
10
11
10
10
00
11
10
00
10
00
00
00
10
10
00
10
10
10
00
00
10
10
11
01
01
00
10
00
10
10
10
11
10
00
00
01
00
11
10
10
00
11
00
01
10
10
11
00
00
01
01
10
10
00
00
11
10
01
01
00
11
00
00
01
00
11
00
11
11
00
10
01
00
10
00
10
01
11
10
10
00
00
10
00
01
00
10
11
00
00
01
11
11
10
10
00
00
11
11
00
01
00
11
00
00
10
00
10
00
00
11
00
00
10
00
00
00
10
00
10
00
00
10
10
00
00
10
10
00
00
11
10
10
10
11
01
11
00
01
00
10
01
01
00
10
10
10
00
10
11
00
11
11
10
00
00
00
10
11
00
11
00
11
01
01
00
00
10
10
00
01
11
11
00
01
11
10
01
00
10
00
11
00
10
00
00
10
10
10
00
00
10
10
10
11
11
00
00
10
00
00
00
01
10
00
10
11
01
10
00
00
01
10
00
11
10
01
00
11
11
11
01
00
00
10
11
00
10
11
01
11
10
10
01
00
10
01
00
11
10
00
00
00
10
11
10
00
01
10
00
10
10
10
00
01
10
11
11
01
01
01
10
00
00
11
10
10
01
01
01
10
00
00
11
10
01
11
10
10
10
00
01
00
00
00
01
01
00
10
10
01
11
10
00
01
10
00
00
00
11
01
10
00
00
10
01
11
11
10
00
00
11
00
11
11
00
00
00
00
10
10
00
00
00
11
00
10
10
01
01
10
00
00
10
01
00
10
10
10
00
01
10
00
00
00
01
10
10
11
10
00
00
11
11
01
00
10
10
10
00
10
00
01
01
11
01
01
11
00
10
00
01
11
01
00
11
00
10
10
00
10
10
10
00
11
00
10
01
00
10
01
00
11
10
00
11
00
11
00
10
10
10
10
00
10
01
10
11
00
00
10
00
00
11
11
00
10
00
10
10
10
00
10
11
00
00
10
00
00
10
00
11
10
01
01
01
10
10
11
10
11
00
00
10
00
10
00
00
11
01
01
00
11
00
11
10
00
10
11
00
00
01
01
00
11
10
00
10
11
00
00
01
10
01
11
01
00
00
10
10
11
00
10
01
00
10
10
10
00
00
11
10
00
10
10
00
11
00
00
10
01
00
10
11
00
01
10
01
11
10
01
11
01
01
10
11
11
00
00
00
10
11
01
10
00
00
10
11
00
00
11
11
10
01
01
01
11
10
00
00
11
00
10
10
11
00
10
00
00
11
01
11
10
10
10
00
11
00
01
10
11
01
10
00
00
10
00
00
10
10
01
00
00
11
00
00
00
11
00
00
11
01
11
10
10
10
11
00
11
00
00
01
00
01
00
00
10
11
00
01
10
11
10
11
00
00
00
10
00
01
01
11
11
00
01
10
10
11
10
00
00
10
10
01
10
10
00
00
11
10
00
00
10
10
00
01
10
10
10
10
01
11
10
10
10
00
10
11
00
00
10
11
11
01
10
01
00
00
10
11
00
00
10
11
00
00
10
11
01
00
10
00
10
01
10
11
00
10
10
10
01
10
01
10
11
00
10
00
10
11
01
10
10
01
00
01
10
11
00
10
10
10
00
11
10
00
10
01
11
10
10
00
10
10
11
01
01
10
00
01
10
11
00
10
10
10
00
00
10
01
10
11
00
10
11
10
00
10
01
01
00
00
10
11
10
10
10
00
01
11
10
01
00
10
11
01
11
10
10
00
10
00
10
00
00
10
01
01
10
01
10
10
00
10
11
11
01
00
10
10
00
00
11
11
01
11
00
10
11
10
00
00
10
10
00
10
00
11
11
00
11
10
00
01
00
10
10
00
00
00
00
10
10
10
00
01
10
10
00
00
00
00
01
01
11
01
01
10
10
01
00
11
11
01
01
10
00
10
01
01
10
11
00
11
00
01
10
00
10
10
01
00
00
10
10
10
00
01
00
01
00
10
01
11
01
00
10
01
11
10
10
10
00
00
01
10
10
00
01
10
10
00
00
00
10
00
11
10
00
01
11
11
10
01
11
00
00
00
00
11
10
01
00
01
10
10
01
00
11
10
00
00
10
00
00
00
11
10
01
00
11
00
00
00
00
10
10
01
00
00
10
00
01
00
10
10
11
00
01
10
01
10
00
00
10
10
10
10
01
10
11
01
10
11
01
10
10
10
01
10
00
00
01
01
00
10
10
01
00
10
01
11
10
10
01
00
11
00
01
10
10
10
11
00
01
10
10
01
11
01
00
10
10
00
11
00
00
00
10
10
01
10
00
10
10
11
01
10
00
10
11
01
10
10
10
10
01
00
10
10
11
10
10
00
10
10
00
11
00
00
10
01
11
10
00
00
00
10
10
10
01
10
01
01
10
11
00
00
11
00
01
10
10
00
10
00
11
10
00
01
10
11
00
10
10
01
10
10
10
00
01
10
10
10
01
11
01
11
00
10
01
00
10
00
00
10
00
01
10
11
00
10
01
10
10
00
10
11
11
11
00
00
01
10
00
00
11
01
00
10
11
11
00
00
11
10
01
01
10
00
00
00
11
10
00
00
00
10
10
11
10
11
01
00
00
10
00
11
10
00
10
11
10
00
00
11
10
00
10
11
01
00
10
10
01
00
00
00
01
10
01
00
10
10
10
01
00
00
00
00
00
10
10
11
10
01
10
10
11
10
00
00
11
10
11
01
00
10
11
00
01
11
00
11
10
00
10
00
10
01
10
10
01
00
00
11
01
11
10
10
10
10
00
00
00
00
10
10
01
00
00
00
00
10
01
10
11
11
01
10
00
00
00
10
10
11
00
01
10
00
11
01
00
00
10
11
00
11
10
00
00
11
10
10
00
10
00
00
00
00
10
00
00
10
00
00
01
11
10
10
01
10
10
11
01
00
10
10
00
00
00
10
10
10
00
11
10
01
00
00
01
01
00
01
11
10
11
11
10
11
11
01
10
10
00
00
11
00
00
10
10
00
00
00
10
00
00
01
10
00
01
10
11
11
11
00
00
10
00
11
11
10
11
00
01
10
11
01
00
01
10
00
11
10
00
11
10
00
00
00
10
10
00
10
10
10
00
01
00
00
10
00
00
00
11
10
01
00
00
00
11
01
10
11
00
00
10
10
10
01
10
10
00
00
00
01
00
10
11
10
01
10
10
11
10
10
01
10
11
11
01
10
10
00
10
01
00
11
10
10
00
00
10
11
00
01
00
11
11
10
00
00
11
10
00
00
11
10
00
11
10
00
00
00
00
00
11
10
10
01
10
00
00
10
10
00
01
01
00
00
11
00
10
10
00
10
10
11
11
00
10
01
00
00
10
00
00
01
10
10
00
01
00
00
00
00
10
00
11
10
10
00
00
01
00
00
00
01
10
10
11
11
11
00
00
00
10
01
00
10
10
00
10
10
10
10
10
00
01
10
10
00
11
00
10
10
01
10
10
00
11
11
10
10
00
10
11
10
00
11
10
01
11
11
10
11
10
01
00
00
10
11
11
00
11
00
00
00
00
11
00
01
10
10
01
01
10
11
00
01
11
00
00
10
10
11
11
11
11
00
11
11
10
01
01
11
10
11
10
01
00
11
01
00
00
10
10
00
01
10
10
00
10
00
11
00
10
00
00
11
10
00
00
11
10
10
00
01
10
11
10
01
10
10
10
01
01
10
10
11
10
00
00
10
00
10
00
01
10
10
00
00
11
10
01
10
10
00
01
01
10
11
01
00
10
10
01
11
10
00
11
00
10
00
00
00
10
00
11
10
10
00
00
10
10
00
01
10
10
00
10
11
01
10
00
01
01
10
00
10
10
10
00
10
01
00
01
01
00
11
00
10
10
10
01
00
00
10
10
01
00
11
01
11
00
00
01
10
10
11
01
00
11
00
10
11
10
00
01
10
10
10
00
11
10
01
01
11
00
11
10
00
00
00
10
01
00
00
00
10
11
10
01
10
00
10
00
00
10
11
00
10
10
00
01
00
00
00
01
10
00
11
11
00
10
11
00
11
11
00
10
00
00
00
01
00
00
01
01
11
01
10
11
00
00
10
00
00
10
00
00
00
00
10
01
00
10
10
01
10
00
01
10
10
00
00
10
00
01
10
10
10
00
11
01
00
01
01
11
10
00
00
11
00
10
11
00
01
10
11
00
11
10
11
10
10
00
10
11
01
01
01
11
10
01
10
00
10
10
11
00
00
10
01
10
10
10
00
00
10
01
00
10
00
00
11
10
10
00
01
00
11
01
00
00
00
00
10
10
01
00
10
00
00
10
00
00
11
11
11
11
01
11
10
10
10
10
01
01
10
10
10
01
01
10
10
00
10
00
11
11
00
01
00
10
01
10
10
00
11
10
10
00
01
01
00
10
00
11
10
01
00
10
00
01
00
10
10
00
00
01
00
10
11
10
00
00
00
10
01
10
00
10
11
00
11
10
00
10
01
00
10
10
10
10
10
00
01
01
01
11
11
11
10
10
10
00
00
10
11
10
00
10
10
00
10
00
00
10
00
10
01
01
10
00
11
00
00
10
10
00
00
01
01
10
01
00
10
10
11
00
00
10
10
00
10
10
01
01
10
11
11
01
10
10
01
11
10
01
00
00
11
11
10
00
00
10
01
01
10
00
10
10
00
00
10
00
00
01
11
11
11
00
10
10
10
00
01
11
10
10
01
00
00
10
10
10
00
01
11
00
10
00
01
10
11
00
00
11
10
11
11
01
11
10
00
00
00
11
10
11
00
10
01
01
00
10
10
01
01
10
00
01
00
11
10
01
11
00
01
10
00
01
10
10
10
01
00
00
00
10
10
00
00
10
01
00
00
11
10
10
10
11
00
00
10
00
11
01
00
10
11
01
10
10
10
00
00
00
00
10
10
00
10
10
01
10
10
11
11
00
10
11
00
01
11
11
01
01
01
10
10
00
01
10
10
00
00
11
10
10
10
00
10
10
01
10
00
00
10
00
00
01
10
00
00
00
11
00
10
10
00
01
00
10
11
11
01
10
11
01
10
10
00
00
10
01
10
10
00
10
01
00
10
01
00
00
00
11
01
01
00
11
11
11
00
00
00
11
10
00
10
10
10
01
10
10
01
00
11
00
00
01
00
01
11
00
01
10
00
00
00
10
11
10
00
00
10
11
01
10
01
10
01
00
00
00
11
00
00
01
10
00
00
00
10
00
10
10
11
10
10
10
00
10
00
10
01
10
10
10
10
01
10
01
01
11
00
10
01
10
11
10
10
00
01
00
11
11
00
10
01
00
00
10
10
11
11
00
01
01
10
00
10
01
00
01
10
10
00
00
00
10
10
00
10
10
00
10
00
00
11
10
00
10
01
10
11
11
01
01
11
10
10
01
00
10
11
00
00
00
11
10
10
00
00
01
00
00
10
10
01
00
00
11
10
00
11
11
10
10
01
10
10
00
11
11
00
11
00
11
10
00
01
00
11
10
00
00
01
00
00
01
10
10
10
00
10
11
01
01
00
11
00
10
01
10
10
00
00
10
00
00
11
00
10
00
10
10
00
11
00
11
10
11
01
10
01
01
00
10
11
10
10
11
00
01
10
00
01
00
00
01
10
10
11
11
11
10
00
00
10
00
11
10
01
10
10
00
10
10
10
00
01
00
10
10
00
00
00
00
11
00
01
01
10
01
00
00
10
00
00
10
10
01
10
11
00
00
00
00
11
11
10
01
01
10
01
00
10
01
01
11
10
10
00
00
10
11
00
01
10
10
10
01
00
10
00
00
11
00
10
11
00
11
01
10
00
00
10
11
10
00
01
10
01
11
00
11
01
00
11
01
01
01
10
11
00
00
10
11
10
00
00
00
10
11
11
10
10
01
11
11
00
01
00
00
10
00
01
10
00
00
10
00
10
10
01
10
10
00
01
00
01
00
10
00
00
10
10
10
01
10
01
10
10
01
00
10
00
11
10
11
00
00
00
11
11
00
00
10
00
00
00
10
10
00
01
11
01
10
00
00
11
00
10
10
00
10
01
01
11
00
10
01
00
11
00
10
11
00
00
00
10
10
01
10
10
10
10
00
00
01
00
00
10
10
11
11
10
01
00
10
10
10
01
10
00
00
00
11
01
01
11
00
00
10
10
11
11
01
01
01
10
00
10
10
10
00
00
11
10
01
00
10
10
11
01
10
10
00
10
01
10
11
00
00
00
00
10
00
10
10
01
10
10
10
10
00
11
10
01
00
10
10
00
11
00
11
01
01
10
10
00
11
11
01
11
01
01
00
01
01
10
10
00
01
10
11
00
10
00
11
10
10
10
10
00
00
00
01
00
10
10
00
11
11
01
00
00
10
10
01
00
11
10
01
10
10
01
00
01
01
00
10
10
00
10
00
00
01
00
10
01
10
10
10
11
10
10
01
00
11
01
10
10
00
10
00
10
10
00
00
10
10
00
10
10
11
01
00
00
10
01
11
10
10
01
01
01
10
01
00
10
10
10
10
00
00
10
00
00
01
00
10
11
11
11
00
11
10
11
00
00
00
00
00
10
10
00
11
10
10
10
10
01
00
11
00
10
10
01
10
00
10
11
00
10
10
11
00
10
10
00
01
01
11
11
11
00
11
11
00
01
01
11
11
10
11
11
00
00
01
01
00
10
11
10
00
10
00
00
00
00
11
00
01
11
11
10
01
01
10
11
01
00
10
00
00
10
11
00
00
00
10
00
10
11
10
10
00
00
01
11
00
10
10
10
10
00
01
10
00
00
11
11
00
10
11
11
01
11
00
01
00
01
00
01
10
01
10
01
00
10
10
00
10
10
00
00
00
10
11
10
01
00
01
00
11
10
11
00
00
01
10
00
11
11
01
00
00
00
01
00
10
00
00
00
11
11
00
10
10
10
00
10
00
11
10
00
10
00
01
00
10
01
00
00
01
00
10
01
00
10
10
01
01
00
00
10
00
00
00
10
10
11
10
11
10
10
01
11
00
10
11
11
00
00
01
10
11
01
10
00
00
10
10
10
00
01
10
01
00
00
00
00
10
11
10
01
01
01
11
11
00
11
00
00
00
00
10
11
11
11
11
10
10
10
00
00
11
11
01
10
00
00
11
11
10
00
01
00
10
11
00
11
00
00
10
10
00
00
01
11
10
10
11
01
00
00
00
10
10
00
11
00
10
11
01
01
00
10
11
00
11
00
01
00
00
01
00
01
10
00
10
10
10
00
01
00
00
01
10
00
00
10
10
10
01
00
00
10
01
11
11
00
00
01
11
00
10
10
00
01
11
01
00
01
10
10
10
11
10
00
00
10
10
10
01
01
11
10
00
11
10
01
11
10
00
11
10
00
10
10
00
00
10
11
10
11
11
11
01
00
10
00
10
11
00
00
10
10
01
00
01
11
10
10
10
00
01
00
00
11
11
10
00
11
01
01
01
00
11
00
10
10
10
10
00
00
10
01
10
01
00
10
10
10
00
00
00
00
01
00
10
00
00
10
00
10
11
11
01
00
10
10
10
11
11
11
00
00
10
11
00
01
11
10
01
11
10
01
11
10
01
10
10
00
01
10
00
01
11
11
11
10
10
01
11
10
10
00
00
11
00
11
10
10
01
10
11
00
10
10
10
10
10
10
01
00
10
00
10
00
10
10
11
00
10
01
11
01
00
10
00
01
01
01
10
10
00
10
01
11
01
10
10
10
10
01
10
10
01
00
01
01
11
11
10
00
10
01
00
00
11
00
01
00
10
01
00
10
00
10
11
00
10
11
00
10
10
00
10
10
00
01
10
00
00
00
00
01
10
10
10
00
10
00
11
11
10
00
00
01
00
11
10
11
00
01
10
01
10
10
00
00
10
11
00
00
11
10
11
00
11
10
01
11
00
01
10
10
00
00
10
11
10
00
10
00
00
10
10
10
10
01
01
11
11
00
10
01
01
00
11
10
11
00
00
10
00
10
10
00
01
01
10
00
01
00
00
00
01
11
10
00
10
10
01
11
11
00
11
10
01
11
10
01
01
11
00
11
10
10
00
01
10
10
10
01
00
00
11
11
10
10
10
10
11
01
01
01
00
10
10
10
00
10
10
00
00
10
10
10
11
10
00
00
01
11
00
11
10
10
00
10
10
10
10
00
01
01
01
11
11
11
11
10
00
00
10
00
00
10
10
11
00
00
10
10
11
11
00
01
10
11
10
10
00
10
10
11
00
00
10
01
01
01
00
11
10
00
10
10
10
10
10
00
00
10
11
01
10
10
10
00
00
00
10
01
11
10
00
00
10
01
01
10
00
01
00
11
10
01
10
00
00
10
00
10
11
00
00
10
00
10
10
10
01
00
00
10
01
10
10
11
11
00
01
00
00
10
00
00
10
00
10
10
00
10
01
00
10
10
10
01
11
11
00
00
11
00
00
11
00
00
11
10
00
00
10
10
10
10
01
11
10
10
00
00
10
00
00
01
01
10
00
11
11
10
10
11
00
10
01
01
11
00
11
10
11
10
00
00
10
11
00
01
11
10
01
11
00
00
01
00
00
11
10
10
01
00
11
11
00
10
11
01
10
00
01
10
00
00
11
01
01
11
01
00
10
01
00
10
11
00
01
00
10
10
10
01
00
00
11
00
10
10
00
00
00
11
00
10
00
11
11
10
11
00
11
10
01
00
11
10
01
00
10
10
00
01
00
10
10
10
00
00
10
01
10
10
01
01
10
10
00
10
00
11
10
10
00
01
01
10
10
11
00
11
10
00
10
10
11
10
10
00
00
00
00
11
01
11
11
01
10
10
11
11
01
11
10
00
11
00
00
10
10
10
10
10
10
00
01
10
01
00
11
11
01
10
00
01
11
00
00
10
10
10
00
00
10
00
00
10
10
00
01
00
10
00
01
01
11
01
00
11
10
01
01
10
11
00
11
01
10
10
11
01
10
00
00
00
00
10
10
01
01
10
01
01
01
11
00
00
00
00
10
10
00
00
10
01
00
11
10
00
00
10
00
10
10
00
11
10
00
01
00
00
00
10
11
01
00
10
00
00
01
00
10
11
00
00
01
00
00
10
00
00
00
00
10
01
00
10
10
10
00
10
11
00
01
10
00
00
00
10
11
10
00
00
10
10
01
00
00
10
10
01
00
11
11
00
10
11
01
10
10
00
01
00
00
10
10
01
01
01
01
01
10
11
00
10
10
00
00
00
10
10
00
10
00
00
10
01
11
00
01
01
01
00
11
01
00
10
10
01
01
00
11
10
01
00
11
01
00
00
10
00
11
11
00
00
10
11
01
00
10
10
01
01
10
00
10
00
00
00
10
00
10
00
10
00
00
01
11
00
01
01
01
01
00
11
11
10
01
11
00
11
11
00
00
00
10
01
11
10
10
01
10
11
10
00
10
10
10
11
10
00
00
00
10
00
10
00
10
10
10
10
00
00
10
10
00
00
10
11
10
11
01
11
11
01
01
10
11
00
00
11
10
11
00
10
10
00
00
00
01
00
10
01
10
11
00
10
00
00
00
00
00
10
11
10
10
11
01
00
10
10
10
10
00
00
00
10
11
00
10
01
10
10
10
10
10
00
11
10
11
00
10
10
00
00
11
00
01
10
01
10
11
01
01
00
10
01
00
11
11
10
00
10
11
00
11
10
00
01
10
00
10
01
10
01
10
11
00
00
01
01
00
10
11
00
10
00
11
01
01
10
10
11
10
00
11
10
01
10
10
01
10
10
01
01
11
01
00
00
10
00
01
10
10
10
00
00
11
10
00
01
00
10
10
10
00
00
10
10
01
00
10
10
11
00
00
01
10
01
00
10
01
10
11
00
10
11
10
00
00
10
10
00
11
00
10
11
00
10
01
00
10
11
01
00
10
10
00
10
00
00
10
11
00
10
00
00
01
10
11
00
00
00
00
10
10
10
01
10
00
00
01
01
10
00
01
10
10
11
10
10
10
00
01
11
11
00
00
00
11
10
11
00
00
10
01
00
00
00
10
10
10
10
00
10
00
10
10
10
10
00
10
00
10
10
00
01
10
01
00
00
11
00
00
10
10
10
11
00
00
00
10
00
10
10
10
00
10
11
11
10
10
10
00
11
00
10
10
01
00
00
10
01
10
10
11
00
10
11
01
00
00
10
00
10
10
10
10
00
00
00
11
10
10
11
11
00
00
11
00
01
10
10
10
00
01
00
10
10
01
00
10
10
10
10
00
10
00
10
10
10
00
00
00
00
11
11
10
11
01
01
01
00
01
10
00
11
01
00
10
01
01
00
10
00
11
10
10
00
01
01
10
10
00
10
01
00
11
11
00
10
00
00
00
11
10
10
10
00
01
10
10
00
00
10
00
11
00
10
01
11
10
10
00
00
10
00
00
01
00
00
00
01
10
10
00
10
01
11
11
00
11
10
00
00
01
01
10
01
00
11
00
10
10
00
00
10
00
01
10
10
00
11
00
00
10
10
10
11
10
00
00
11
00
00
11
11
00
00
00
00
11
01
01
10
10
10
01
11
00
10
10
11
00
11
10
00
01
00
11
10
10
00
00
01
00
00
10
10
00
00
01
10
00
01
00
01
00
00
10
10
10
10
10
00
11
11
10
01
10
00
00
10
00
10
11
00
10
01
11
00
00
10
10
00
00
01
10
00
11
00
00
01
00
10
11
10
11
01
11
01
01
00
11
01
01
10
11
00
11
10
00
11
00
10
10
00
11
11
10
00
10
10
10
01
10
11
00
00
00
00
00
10
10
00
00
11
11
11
10
00
00
01
10
01
00
10
00
10
10
10
11
00
01
10
10
00
10
00
10
10
00
00
11
01
01
10
10
10
11
10
00
01
01
11
00
00
11
10
00
10
00
00
11
11
10
10
10
00
01
00
11
00
00
11
01
01
11
10
00
10
10
00
11
10
00
00
00
11
11
01
10
00
11
11
10
00
00
10
10
01
10
11
00
01
11
10
01
00
10
11
11
01
10
10
01
00
10
00
00
10
00
11
10
00
00
00
10
00
01
01
10
10
00
00
10
00
00
10
11
11
11
00
01
10
01
11
10
10
00
01
10
10
01
10
00
10
00
01
00
10
00
00
00
11
00
01
11
00
10
01
00
11
01
10
01
01
10
11
00
01
10
10
01
10
11
00
01
11
11
11
10
10
00
10
10
11
11
10
00
11
00
00
10
00
00
11
10
10
00
01
00
10
00
01
10
10
10
00
01
00
11
00
10
10
11
01
00
01
10
00
00
00
11
01
00
01
11
11
11
00
00
00
00
11
11
11
00
00
11
00
00
10
11
00
10
00
10
10
00
01
10
11
00
10
11
00
00
11
10
01
10
01
00
11
00
00
00
11
00
11
00
10
10
00
11
10
00
00
01
00
10
10
10
00
00
00
01
10
01
01
10
00
00
10
00
00
11
11
00
00
00
11
00
11
00
00
10
10
01
11
11
00
00
00
00
11
11
11
11
00
00
01
01
00
11
10
00
01
11
11
10
00
00
01
11
00
10
10
01
01
10
10
01
00
00
11
00
00
10
00
10
00
10
10
00
01
01
01
10
10
00
00
01
01
10
10
10
00
10
10
00
10
00
00
00
01
11
00
11
00
01
11
10
10
00
00
10
10
00
00
10
00
11
11
10
00
11
01
10
01
00
10
10
01
10
10
00
11
10
00
10
11
01
10
10
01
00
10
10
11
10
00
10
11
10
01
11
00
10
11
10
11
00
01
11
00
10
10
11
00
01
10
11
00
00
00
11
10
00
00
10
00
01
00
00
10
10
10
00
10
10
10
00
01
10
10
00
11
01
10
01
10
00
10
11
01
11
11
00
01
11
00
10
10
01
01
00
10
00
00
11
00
10
01
10
01
10
10
00
10
10
10
01
00
11
01
01
01
00
10
00
00
10
11
01
01
01
00
10
11
10
00
11
10
01
01
10
00
10
10
10
11
00
01
01
11
10
10
11
00
00
01
00
10
10
10
10
00
00
11
10
10
00
10
00
00
00
10
01
00
11
10
00
10
10
10
00
00
11
10
00
01
10
10
00
10
01
01
10
00
10
00
10
10
11
10
00
00
00
10
11
00
00
10
10
10
01
01
00
10
10
01
11
11
00
01
01
10
01
10
10
00
00
10
00
00
10
00
10
00
01
00
00
11
10
10
01
00
10
00
11
00
10
10
00
01
01
01
10
10
10
00
00
11
00
01
10
11
01
10
10
00
10
10
10
00
11
11
00
11
00
01
10
00
00
01
00
10
01
01
00
00
01
11
10
00
11
01
00
10
10
01
00
01
10
00
01
00
01
10
10
01
00
00
00
10
10
00
01
10
01
00
00
10
11
10
01
00
11
10
11
10
11
00
11
00
00
10
10
10
01
10
11
10
00
00
00
11
10
00
10
10
00
11
10
00
10
10
11
00
10
00
00
11
10
10
10
10
10
01
10
00
10
11
11
11
11
10
00
10
00
00
10
11
11
10
00
01
11
11
00
00
01
00
00
01
11
01
01
00
11
10
01
11
10
01
00
10
00
11
10
00
01
00
00
00
10
10
00
11
01
10
00
10
11
00
11
01
10
11
10
00
11
10
01
00
00
10
11
10
11
00
01
00
11
10
00
10
10
10
00
00
10
00
00
10
10
01
10
10
00
10
00
01
00
11
00
10
01
00
10
10
01
10
10
00
00
10
11
10
10
00
11
10
10
10
01
00
01
00
10
11
00
10
10
00
00
00
11
01
11
10
01
00
10
11
10
10
00
10
10
00
00
01
00
11
01
10
01
00
01
11
00
10
01
00
10
00
10
01
10
00
10
00
01
11
10
00
00
10
11
00
11
11
00
00
00
00
10
10
00
00
01
00
10
10
00
10
01
00
10
11
11
00
10
00
01
00
10
00
00
10
10
01
00
01
11
11
10
00
00
10
10
00
10
10
10
01
01
10
00
11
10
11
01
10
01
00
00
11
00
00
10
10
10
00
10
00
00
10
00
00
00
11
10
00
00
00
10
00
00
11
00
10
10
10
10
10
00
10
10
11
10
01
11
10
01
01
00
01
10
00
11
00
00
11
11
01
10
00
10
00
10
10
01
10
01
01
11
00
11
10
00
00
00
11
11
11
00
00
11
10
10
00
01
00
00
00
11
01
11
10
00
10
01
11
11
00
00
10
10
01
10
00
00
10
10
00
10
10
00
00
01
00
01
11
00
01
10
11
10
00
01
10
00
11
01
00
10
01
00
10
00
00
10
01
11
01
01
10
00
01
10
11
01
00
11
00
11
10
01
00
00
10
10
10
00
01
10
11
00
00
00
01
10
10
00
00
00
10
11
10
00
00
10
00
10
10
10
10
00
10
01
00
10
01
10
00
10
00
00
00
11
01
11
10
10
10
10
11
01
00
10
01
10
00
00
11
11
10
11
00
01
11
00
11
11
00
01
10
11
10
00
10
11
01
01
10
11
10
01
00
10
01
00
00
11
10
00
00
11
00
10
00
00
00
01
11
10
01
00
10
00
00
00
10
10
00
10
10
00
10
10
10
00
01
10
00
11
10
01
01
10
00
11
10
00
10
10
00
10
10
01
00
10
00
10
00
00
01
10
11
00
10
01
10
00
01
01
10
00
10
00
00
11
10
00
00
01
00
10
01
00
10
10
10
10
10
11
01
10
00
00
10
00
10
00
10
10
01
00
11
00
01
10
00
01
10
10
00
01
10
10
10
10
10
01
00
01
10
10
00
00
10
10
00
00
01
01
10
00
10
00
11
10
01
00
11
00
10
10
01
00
10
10
10
10
11
01
00
11
01
11
10
00
10
00
00
01
10
11
01
01
01
10
11
00
00
10
10
00
00
11
11
00
00
10
01
10
00
10
10
00
00
00
00
00
10
00
10
00
10
10
00
00
10
11
10
10
00
00
01
11
11
01
11
11
01
10
10
01
11
11
01
00
10
11
10
11
01
01
00
10
00
00
00
01
11
10
10
10
00
10
01
01
10
00
01
00
10
00
10
11
10
01
01
01
11
01
00
01
00
10
01
01
10
10
01
01
10
10
10
10
01
00
01
10
00
00
11
11
11
01
01
00
10
00
00
01
01
11
10
00
10
11
00
11
11
00
00
01
10
10
10
00
01
01
00
10
11
00
00
10
00
00
00
10
11
11
11
00
10
00
11
11
10
00
01
10
01
10
10
00
00
11
00
11
01
11
10
10
10
00
00
10
01
11
11
00
11
10
01
10
10
01
00
10
10
00
00
11
11
00
10
00
10
10
10
11
00
10
00
01
10
10
10
00
10
00
00
00
10
10
00
00
11
10
01
11
00
01
11
00
00
10
10
10
11
00
00
11
10
00
11
10
10
11
01
00
01
11
10
01
00
11
10
10
00
01
10
00
10
11
00
00
11
10
01
00
00
01
10
11
00
00
10
10
10
11
01
01
10
10
11
00
10
10
01
01
11
00
11
00
11
10
01
00
00
11
10
01
00
11
10
01
00
11
10
00
01
00
11
10
10
00
00
11
10
11
00
10
10
01
01
00
00
11
10
00
10
00
10
11
10
10
00
00
00
00
00
00
00
01
11
11
10
10
01
10
01
01
11
11
10
10
00
10
10
10
00
00
10
11
10
11
10
01
00
10
01
11
11
00
10
01
00
11
01
00
10
00
00
11
10
00
10
11
00
00
10
11
00
10
10
00
10
10
01
10
11
01
11
10
00
00
00
11
10
00
00
11
00
10
01
01
10
10
10
00
00
10
00
11
11
01
00
00
10
00
11
10
10
10
00
11
01
00
00
00
10
10
10
10
00
00
00
00
00
01
01
00
00
10
11
00
11
10
00
10
01
00
10
00
00
11
10
11
10
01
10
11
10
01
00
11
00
01
01
11
10
00
00
10
10
00
00
11
00
01
00
00
10
10
00
10
11
01
10
00
00
10
11
00
00
00
10
00
00
10
10
01
11
01
01
00
01
00
01
10
11
00
01
00
10
10
00
11
10
10
01
10
00
11
11
00
01
10
10
10
00
00
00
10
10
01
00
11
10
01
00
10
10
10
00
00
10
10
11
10
00
10
01
01
00
10
10
01
10
11
00
00
10
01
01
00
11
10
11
00
10
00
01
10
10
00
00
01
10
00
11
10
11
01
10
00
00
00
10
01
10
00
10
10
10
11
01
10
10
10
00
01
01
01
10
00
00
01
01
10
10
10
00
00
00
00
00
11
00
01
10
00
10
00
01
10
00
10
10
11
10
10
00
00
01
00
00
10
10
01
00
10
00
00
00
11
00
11
00
10
01
10
00
00
01
11
10
01
00
10
10
10
00
01
10
10
01
00
10
11
00
11
10
00
00
00
00
00
01
10
00
10
10
10
01
11
10
10
01
10
00
10
11
01
01
00
11
00
01
00
10
01
01
00
01
00
10
10
01
10
11
00
10
10
01
10
00
00
00
00
10
10
11
11
00
10
01
10
10
00
10
00
01
00
10
11
10
10
01
11
00
00
10
00
10
11
01
10
01
01
11
11
10
10
00
00
10
00
01
11
10
10
00
01
10
11
10
00
01
01
00
10
00
00
01
11
00
00
10
10
10
10
00
00
00
10
10
11
00
01
11
10
10
11
10
11
00
01
11
01
10
11
00
10
10
00
01
01
01
10
11
11
10
01
10
00
00
10
01
10
10
00
11
11
00
10
10
10
10
11
00
10
10
10
11
00
01
00
00
10
01
00
10
10
00
10
10
00
10
01
00
11
10
00
10
00
11
00
10
10
10
00
10
01
00
10
00
10
10
01
00
00
00
10
10
10
01
10
00
00
10
01
00
00
00
10
11
10
10
11
01
11
00
11
10
10
10
10
00
00
10
10
10
00
10
00
11
01
10
01
10
10
00
10
00
00
10
10
11
00
00
00
10
10
11
00
01
01
10
10
11
00
00
10
10
00
01
10
10
10
00
00
10
01
00
01
10
01
10
10
00
10
11
10
11
00
10
00
00
11
10
10
01
10
10
01
00
11
10
01
00
11
10
00
10
11
10
10
00
10
10
00
00
00
00
11
01
00
00
10
10
11
00
10
10
10
01
10
01
00
11
10
10
11
01
01
10
10
01
11
10
01
11
00
00
01
10
10
10
00
00
00
01
11
11
00
00
10
01
01
10
01
00
11
00
01
10
10
01
00
10
10
10
10
10
01
01
11
00
00
11
10
00
01
10
11
00
00
01
10
10
10
11
10
00
00
10
01
00
10
00
00
10
00
00
10
11
10
01
00
00
10
01
10
01
00
10
11
11
00
01
00
01
01
11
00
00
01
11
10
00
10
10
00
00
11
01
01
10
00
00
01
10
00
11
11
10
10
11
01
10
10
00
01
00
01
11
01
10
10
10
00
10
10
10
01
01
11
00
01
00
00
10
00
00
10
10
11
10
00
00
10
00
01
10
01
00
10
00
10
10
01
11
01
10
00
10
00
01
11
11
01
11
10
11
00
11
00
00
10
10
00
10
11
01
00
00
00
00
11
11
10
11
00
00
10
00
00
00
00
10
01
00
10
00
01
10
10
10
11
01
01
11
00
10
10
00
10
01
01
10
10
00
10
10
00
00
10
00
01
10
10
10
10
10
10
11
00
01
10
00
00
10
00
00
00
10
10
00
11
00
00
10
10
10
01
10
10
01
00
01
11
11
11
11
00
00
01
10
00
11
01
01
11
11
10
00
10
11
00
00
11
10
00
11
00
10
10
10
10
11
00
01
01
00
10
00
10
00
10
11
11
00
10
11
00
00
00
10
00
00
00
00
00
10
00
00
11
01
11
10
10
10
01
10
10
10
01
00
00
00
11
00
11
10
00
00
00
00
10
01
00
11
10
11
00
10
11
11
11
00
00
10
11
01
01
00
10
10
10
00
00
10
10
01
00
01
10
10
11
10
11
01
00
11
10
00
01
10
11
10
00
11
00
00
10
00
01
00
01
10
11
10
00
00
00
11
11
01
10
01
11
10
00
11
00
00
00
10
00
10
10
00
10
11
11
10
11
10
00
00
10
11
01
10
00
10
01
00
10
11
01
10
00
01
11
01
00
01
01
01
10
00
11
10
01
01
00
11
00
01
10
10
01
10
00
10
00
01
01
00
01
10
00
00
01
11
11
01
01
10
00
00
10
00
00
11
10
01
01
00
10
00
10
00
00
10
11
10
00
10
10
00
10
00
00
11
10
10
11
00
11
11
10
11
01
00
00
00
11
10
11
00
10
00
01
10
11
10
00
00
11
00
11
10
01
10
10
11
11
10
00
00
10
01
10
11
00
00
10
10
00
01
10
10
01
10
10
00
10
10
00
10
01
10
00
01
01
11
10
01
11
00
00
10
10
10
00
00
00
01
10
00
00
10
10
00
11
10
10
10
11
00
01
10
11
10
01
01
11
11
00
10
00
10
11
00
00
11
10
11
01
00
11
00
00
01
00
11
00
10
00
11
10
00
10
11
00
10
11
00
00
10
10
10
00
00
10
10
01
10
11
10
01
10
10
00
00
11
00
01
10
00
10
00
00
01
00
00
10
10
00
10
10
10
00
10
10
10
00
01
01
00
00
00
01
10
11
10
10
01
01
10
00
11
11
11
00
00
11
01
00
10
11
10
11
10
00
10
10
00
10
01
00
00
11
10
10
10
00
00
11
10
10
00
11
01
00
11
10
10
11
10
01
01
00
00
00
10
01
11
10
00
10
11
01
00
11
10
10
00
00
11
11
11
01
00
11
01
00
10
00
01
10
00
00
00
01
11
00
10
10
00
00
00
10
00
00
00
10
01
00
10
01
11
10
00
00
10
10
00
00
00
10
01
11
11
10
10
00
11
10
10
00
00
00
01
10
00
00
10
10
00
00
11
11
11
10
01
00
11
11
10
10
01
10
11
00
11
00
00
10
01
01
11
00
01
11
11
10
00
01
10
11
00
00
11
10
01
10
00
00
11
01
00
00
10
11
00
11
01
10
11
00
00
00
11
00
11
10
00
10
00
10
10
00
11
00
00
00
01
01
00
11
01
00
11
01
00
10
10
01
00
10
10
00
10
01
10
00
10
10
01
00
00
10
01
01
10
11
10
00
00
10
00
10
01
00
10
10
00
00
01
10
10
00
10
10
11
10
10
01
00
00
10
11
00
11
10
01
01
00
10
01
00
10
00
10
01
00
00
10
00
01
11
10
00
10
10
11
00
00
10
00
00
01
00
00
10
10
01
01
11
00
10
10
10
10
11
00
00
10
01
10
10
00
01
10
11
00
11
11
11
00
11
00
00
11
11
00
00
10
11
00
00
00
00
01
00
10
10
01
10
00
10
00
01
10
11
10
00
10
00
10
00
00
11
10
11
01
00
01
00
11
10
00
00
11
00
01
10
10
11
00
11
10
11
01
11
11
11
10
01
00
00
00
10
10
00
10
10
01
01
10
00
10
11
01
00
11
00
00
10
01
00
11
10
01
10
00
00
10
10
11
01
00
00
00
11
10
11
01
00
00
10
11
01
01
11
00
10
00
10
01
01
10
10
00
01
00
10
00
00
10
00
11
11
00
11
10
01
01
00
11
10
10
01
10
01
10
01
11
11
01
10
11
01
10
10
01
11
11
00
00
01
10
10
10
00
01
00
01
11
10
10
01
10
01
01
00
10
10
00
10
01
10
11
00
00
10
00
00
00
00
11
11
01
00
11
10
01
10
10
00
00
10
11
11
01
10
10
00
11
11
10
00
00
10
00
10
00
11
00
10
10
00
00
10
01
10
11
00
10
10
01
00
00
01
00
00
10
11
10
01
01
10
10
11
10
01
10
01
00
10
00
10
10
10
00
01
10
00
10
10
10
00
00
00
00
00
10
10
10
00
00
01
00
10
01
10
01
00
10
01
01
01
10
10
00
10
10
00
00
10
11
01
00
01
10
11
10
01
10
01
10
00
00
11
10
00
00
11
10
01
01
11
00
10
01
11
10
01
01
10
00
00
11
11
00
01
01
10
00
11
10
11
01
00
01
10
10
01
00
01
10
01
00
10
11
00
11
10
00
00
00
10
10
01
00
10
11
10
10
10
00
01
11
01
00
10
11
10
00
01
10
00
01
10
01
00
11
10
00
11
10
10
10
10
01
00
00
00
10
01
01
01
11
11
00
00
10
10
00
01
10
00
00
10
10
11
00
10
10
01
10
11
11
11
00
00
11
01
10
01
00
10
00
00
11
10
00
10
00
11
01
00
01
10
10
11
00
00
00
11
10
00
00
00
11
10
11
10
00
10
00
00
11
10
10
01
11
01
10
11
01
01
11
01
00
00
10
11
00
01
10
10
10
10
00
00
00
10
10
00
00
10
11
00
01
10
11
11
01
10
10
00
00
00
11
00
01
00
00
11
01
00
11
11
01
10
11
00
00
00
10
11
11
00
00
00
11
00
11
10
11
00
00
00
11
01
00
10
01
10
11
10
10
10
00
00
10
00
01
00
01
01
10
00
00
00
10
00
01
00
10
10
00
00
00
10
11
10
00
11
00
00
00
01
10
00
00
10
00
11
00
10
00
00
01
10
10
00
01
11
10
10
10
10
00
00
00
10
11
00
10
01
10
11
10
10
00
00
10
10
00
01
00
11
11
00
10
10
11
00
10
10
00
10
11
10
10
10
00
00
00
00
11
10
10
01
00
01
00
01
11
11
10
00
00
10
10
11
00
00
10
01
00
01
00
11
00
10
00
00
11
10
01
00
00
10
01
00
10
10
01
11
01
10
01
00
11
10
01
01
10
00
00
11
10
10
00
10
11
10
00
00
00
10
00
11
00
01
11
00
10
01
00
10
01
01
11
00
10
10
00
00
00
10
10
10
00
00
00
00
01
10
10
01
11
10
11
10
01
11
10
10
11
00
00
10
01
10
01
00
10
10
01
00
00
10
11
10
10
11
00
00
10
11
00
10
10
00
01
00
11
10
11
00
01
10
10
10
01
01
01
01
11
10
11
10
01
11
10
10
00
01
11
10
00
00
01
10
11
11
11
10
00
00
10
11
11
10
11
10
00
10
00
00
00
11
10
00
10
00
11
10
11
01
00
00
11
00
00
11
00
01
11
11
11
00
01
10
10
01
10
10
00
01
11
00
01
10
01
00
10
10
00
10
10
00
00
01
11
01
10
00
00
10
01
10
00
00
10
01
11
00
11
10
00
00
00
10
01
11
10
10
00
00
10
10
00
11
00
01
00
10
10
01
10
00
10
00
10
10
00
01
10
11
01
00
10
00
10
11
00
01
01
11
10
10
00
10
10
00
00
10
11
01
00
01
10
00
00
10
00
00
00
10
00
00
11
00
10
00
01
00
00
00
11
01
10
01
00
00
00
10
10
00
10
00
00
00
00
00
10
10
10
00
10
00
10
00
00
00
10
10
01
11
00
10
00
01
00
00
10
10
00
00
10
10
00
00
11
10
11
10
00
10
11
00
00
00
10
01
11
10
00
00
10
10
00
10
01
11
00
11
01
00
10
00
00
10
11
10
00
00
10
01
10
00
10
10
00
11
10
10
01
00
10
10
01
00
11
10
11
11
01
11
11
11
01
10
00
00
10
01
00
10
10
10
01
00
10
11
11
10
11
01
10
10
00
00
00
01
11
10
10
01
01
10
11
00
00
10
01
00
11
00
10
11
11
10
00
10
10
00
11
10
00
00
10
10
10
01
10
00
00
10
00
01
10
10
00
00
00
00
01
10
10
11
10
00
00
00
10
10
11
10
10
00
10
00
10
01
01
10
00
11
00
01
00
11
01
00
00
10
11
01
00
11
11
11
10
00
11
00
01
10
01
00
00
10
11
10
01
10
01
00
11
00
11
00
11
00
00
10
01
10
11
10
01
10
00
00
10
10
11
10
00
10
10
01
10
11
00
00
10
10
00
10
01
00
10
00
10
10
11
10
11
10
00
10
01
10
00
01
10
10
00
00
00
10
10
00
10
11
01
00
11
11
10
10
01
00
00
11
10
00
10
10
00
00
01
00
10
11
10
00
10
10
11
11
00
01
00
10
00
00
10
00
00
10
10
10
00
10
00
11
00
01
01
10
10
10
00
00
11
01
10
10
10
01
00
01
11
10
01
10
11
10
10
00
00
11
10
10
10
00
10
11
00
00
11
00
10
10
01
01
01
01
11
11
11
10
01
00
10
10
10
01
01
01
11
01
00
11
10
10
11
11
00
10
10
00
01
10
10
10
10
10
00
00
10
10
00
11
00
00
00
00
10
00
00
10
10
00
00
10
10
11
11
01
10
01
00
10
10
00
00
11
00
11
00
11
10
10
10
01
00
10
00
00
01
10
00
01
11
00
10
00
10
11
10
10
01
11
11
01
01
01
00
01
11
10
00
00
11
10
01
10
10
10
10
10
00
00
00
10
10
01
11
11
10
00
00
11
01
00
11
10
01
10
01
00
00
01
10
11
11
00
01
00
10
10
00
00
10
10
00
00
10
00
01
10
10
01
10
10
00
11
00
00
00
10
01
00
10
10
10
01
11
01
00
10
10
00
11
01
01
10
01
11
10
00
00
10
10
00
10
10
00
11
00
01
11
10
11
01
11
10
00
00
00
01
00
10
11
10
10
11
10
00
10
10
10
11
00
10
01
01
11
01
00
10
10
00
00
01
11
10
01
00
10
10
00
11
11
00
00
11
10
01
10
00
10
00
00
00
11
11
10
10
01
11
00
01
11
10
10
01
00
01
00
11
10
00
00
10
01
01
01
00
11
00
00
10
01
01
11
01
10
10
00
11
00
00
00
11
10
10
10
00
10
10
11
01
01
00
11
10
00
10
10
00
01
10
10
00
00
11
11
01
00
10
10
10
10
11
00
01
11
11
00
10
00
00
00
10
11
10
00
10
10
00
11
01
00
00
10
01
00
10
00
00
11
00
01
01
10
10
00
00
10
11
01
10
01
00
11
00
00
10
11
10
11
10
00
10
00
00
10
11
00
11
00
11
10
10
00
10
11
10
10
00
00
00
00
10
00
00
11
11
01
11
00
01
00
11
00
10
01
01
00
10
00
00
10
10
00
00
01
10
00
10
01
01
10
01
10
11
00
11
01
00
01
00
01
11
11
10
01
10
10
00
01
01
10
01
00
10
10
11
10
10
11
01
00
10
00
00
10
10
00
10
01
01
00
11
01
01
11
01
10
10
11
10
00
00
10
00
00
00
11
00
00
11
01
10
00
01
11
10
10
11
00
10
10
11
00
00
11
00
00
11
00
00
00
11
11
10
00
10
00
00
10
10
00
00
10
00
00
01
10
11
11
01
10
10
10
00
11
10
01
00
00
11
10
10
00
10
10
00
00
01
00
10
00
10
00
10
00
10
00
00
00
01
00
10
01
10
01
10
10
11
10
00
00
11
10
01
00
10
10
00
01
10
10
00
11
01
00
10
10
00
10
00
00
11
00
00
11
00
11
00
10
01
00
10
00
10
10
11
10
10
00
01
10
00
00
10
00
00
00
01
00
00
11
10
10
00
10
10
00
10
00
00
01
10
11
01
01
00
00
10
10
10
10
10
00
10
00
10
01
11
00
10
10
00
00
10
10
01
11
10
11
00
11
11
10
00
10
11
01
01
10
00
01
11
00
10
11
00
10
00
00
10
00
10
10
10
00
10
00
01
10
00
10
01
10
00
01
10
10
00
01
00
01
11
10
10
11
00
00
01
11
10
00
10
10
00
00
11
10
00
10
11
11
01
00
10
11
00
11
10
11
01
01
01
00
11
01
11
11
00
01
11
10
01
01
01
10
10
01
00
00
10
10
01
00
10
00
10
11
00
00
11
10
10
10
10
00
10
10
00
01
11
11
11
00
01
01
11
10
00
01
10
00
00
10
01
00
11
11
10
00
10
00
10
10
01
11
10
10
00
01
00
00
01
10
00
11
11
01
10
10
01
01
00
11
00
00
01
00
11
10
00
10
00
10
10
11
00
11
00
11
11
10
10
00
10
10
10
10
01
10
10
00
00
00
00
00
11
01
11
00
11
11
10
00
00
01
11
10
00
11
00
11
10
00
10
00
01
10
11
00
00
11
00
00
11
10
00
00
00
10
10
00
10
00
00
01
00
00
01
00
10
11
00
01
00
00
01
10
10
11
10
01
00
00
11
01
01
00
10
10
10
11
10
00
10
10
10
10
10
00
10
00
01
00
10
10
00
10
00
10
11
10
10
00
00
01
11
01
01
01
10
00
11
11
01
00
11
11
01
10
01
01
00
01
10
01
11
00
00
10
00
11
00
00
10
10
10
11
10
01
01
01
11
00
00
10
01
01
00
00
10
10
10
10
00
00
10
10
00
11
01
11
00
00
00
11
10
01
10
10
11
10
01
00
00
01
01
11
00
11
11
01
10
00
10
10
00
00
00
10
01
00
00
11
11
10
00
11
00
01
10
00
01
01
10
10
11
00
00
10
10
11
10
01
10
00
00
10
10
00
01
10
10
10
00
10
11
01
11
10
10
11
00
00
00
10
00
00
10
00
11
00
00
01
10
10
10
00
00
10
10
01
01
01
10
10
01
00
10
10
00
01
01
10
10
10
10
01
10
00
10
10
01
10
11
00
00
11
10
00
10
10
00
00
00
11
10
10
00
00
00
10
01
01
00
01
00
01
00
01
10
10
10
01
01
10
01
01
00
10
01
00
10
00
01
11
11
10
10
00
01
00
00
10
11
00
00
10
11
11
00
00
00
11
10
00
00
01
00
10
01
10
11
00
00
11
00
01
00
00
10
00
00
00
00
00
00
10
00
00
00
00
00
10
00
01
00
00
00
10
10
01
01
11
10
10
11
00
10
10
00
01
11
10
11
10
01
10
00
00
00
10
01
01
10
11
00
10
10
11
01
00
11
11
01
11
00
11
10
10
01
10
11
10
00
00
10
11
10
01
00
10
11
10
00
00
01
10
00
10
10
10
10
10
00
01
11
00
11
01
10
10
01
10
10
10
10
00
00
11
11
00
01
11
00
00
10
10
00
01
11
10
00
00
00
00
01
00
10
11
10
00
00
01
00
10
10
01
00
10
01
10
10
00
10
11
11
00
00
10
10
11
10
10
00
00
10
11
10
10
00
01
00
10
00
00
10
11
11
11
10
00
10
00
01
00
00
01
10
10
10
11
00
10
11
10
00
01
00
00
10
10
10
00
11
01
11
10
10
10
00
00
00
00
11
10
10
11
10
01
01
11
01
00
10
00
10
11
10
01
00
10
10
11
00
00
10
10
00
11
00
00
10
00
00
10
00
00
01
10
11
00
10
00
01
10
00
01
10
10
00
00
00
11
10
11
10
00
00
10
00
10
10
00
00
01
00
11
01
10
00
10
00
00
01
00
11
01
00
10
10
00
11
10
11
00
11
10
10
10
10
11
01
01
10
01
00
00
10
01
01
10
11
01
01
10
10
00
10
01
01
10
11
10
10
10
10
00
00
00
11
00
11
11
10
11
11
11
00
10
00
01
00
10
11
10
10
00
01
00
00
10
10
00
01
11
10
01
00
00
00
00
10
10
11
00
10
00
00
10
11
10
10
10
11
01
00
00
00
00
11
10
11
11
00
00
00
00
00
10
10
00
00
11
10
01
01
00
01
01
10
10
10
10
10
10
01
11
00
00
10
00
10
00
00
11
11
01
00
01
10
00
10
01
00
11
00
01
00
10
11
11
10
01
00
00
00
00
10
11
10
00
11
01
00
00
00
10
10
10
01
01
10
00
00
01
10
10
00
01
01
00
11
10
00
11
01
01
00
10
10
10
10
00
10
11
00
11
11
00
00
10
10
00
01
10
10
00
00
00
10
11
10
00
00
11
10
11
10
00
01
10
01
10
00
00
00
11
10
01
10
00
00
00
01
00
01
11
01
00
00
11
11
00
01
00
10
11
01
00
00
10
10
10
00
10
01
01
11
00
10
10
11
10
00
00
10
10
10
00
11
00
11
10
00
01
10
00
00
10
11
10
01
00
10
10
00
10
10
01
01
11
10
01
00
10
11
10
00
00
10
11
00
00
10
00
11
00
10
00
00
01
10
01
01
00
00
01
10
11
11
01
10
10
00
00
00
10
10
11
10
01
00
10
11
00
10
01
00
11
10
10
10
11
10
01
10
10
10
10
00
00
10
01
00
11
00
10
11
00
11
00
10
10
00
00
01
01
01
11
11
01
00
01
11
01
11
01
01
11
11
00
10
00
01
11
01
00
10
00
10
10
00
00
00
10
11
11
11
01
01
00
00
00
00
10
00
00
11
00
00
00
11
10
00
10
00
10
10
10
10
11
11
10
10
01
01
01
01
10
10
01
01
10
11
00
00
00
11
10
00
00
11
00
00
11
10
01
11
00
11
00
00
10
00
10
00
00
10
00
10
00
10
11
10
10
10
10
01
01
10
01
00
10
10
10
01
00
01
10
00
00
10
10
00
11
10
01
10
00
11
10
10
00
11
01
10
10
11
11
01
10
00
00
11
00
00
00
01
10
11
01
01
11
10
10
01
01
10
00
00
10
00
00
01
10
01
00
10
11
10
01
11
10
10
01
01
00
10
00
10
10
00
10
00
01
10
00
10
11
00
01
10
11
00
10
10
00
00
10
10
00
01
11
00
10
00
00
11
10
00
00
10
10
10
00
01
10
00
01
01
10
11
10
11
10
00
00
11
11
00
00
10
01
10
10
00
00
10
10
10
11
10
01
01
00
00
10
00
01
00
10
10
10
10
01
01
10
00
00
00
10
10
01
10
01
11
10
00
01
00
00
11
10
10
00
10
00
10
00
00
00
10
10
00
10
10
01
01
10
00
00
10
11
00
00
01
00
00
10
11
00
11
01
00
00
10
00
11
00
00
00
00
11
10
00
10
01
10
00
01
00
10
00
00
10
01
00
10
00
00
11
00
00
10
01
10
10
10
11
00
10
10
00
10
01
00
10
00
01
10
00
00
10
11
10
00
00
00
10
01
01
00
00
10
10
00
00
00
11
01
11
00
10
00
00
01
01
11
10
00
00
00
10
11
01
00
11
01
01
10
10
10
01
10
00
00
10
01
11
00
10
01
10
00
00
11
00
10
00
10
00
00
00
00
01
11
01
11
11
11
01
11
01
00
11
00
10
10
11
10
00
11
00
11
10
11
10
00
00
00
11
00
00
11
10
10
10
11
01
01
00
11
01
01
00
00
00
11
10
00
00
10
10
10
00
00
10
10
00
01
11
01
01
10
10
10
10
11
01
10
01
10
10
00
01
00
00
10
10
10
10
00
10
00
10
00
01
00
01
01
10
10
00
00
11
00
01
00
11
10
11
10
01
01
00
10
11
00
10
00
00
10
10
00
01
01
10
10
11
10
00
01
10
11
01
10
00
11
11
10
00
01
11
00
10
11
10
10
11
00
00
01
01
01
01
10
11
01
00
00
10
10
10
11
00
10
01
00
00
10
01
11
10
10
00
00
10
00
11
10
00
00
10
00
00
00
00
10
00
10
10
10
10
00
01
11
00
00
11
01
01
01
10
10
00
00
01
11
10
11
00
10
10
00
11
11
00
00
00
10
10
10
00
01
10
10
11
10
10
00
00
00
00
01
10
01
10
11
10
11
01
01
10
10
10
01
10
11
01
01
10
11
10
01
00
11
00
00
10
00
10
10
10
00
00
10
10
00
00
01
00
01
01
01
10
10
01
11
00
00
10
10
10
00
10
10
00
10
01
00
11
11
00
01
01
10
00
11
01
01
01
01
11
00
11
11
10
00
01
01
10
01
00
00
10
00
00
10
11
10
10
00
10
00
10
00
00
10
10
10
11
00
10
00
11
00
11
11
00
01
10
10
10
10
00
01
11
11
01
10
00
11
01
11
00
00
11
00
00
10
10
00
10
10
10
10
11
11
00
10
01
00
11
10
11
00
00
10
11
01
11
00
01
00
11
10
00
00
10
10
00
11
10
10
01
11
01
01
01
10
01
10
10
00
00
10
01
11
10
10
01
01
10
10
11
10
01
00
10
10
11
10
00
00
10
10
11
00
10
11
00
11
00
00
10
11
01
01
01
10
11
01
01
10
10
00
00
11
00
11
11
01
10
00
00
10
10
10
10
10
10
00
00
00
00
00
10
01
11
00
11
00
10
11
00
01
11
11
10
11
10
11
00
11
00
00
00
00
11
00
00
10
01
00
01
00
10
00
10
10
01
10
11
10
10
11
00
00
10
01
00
01
00
01
10
11
11
11
10
00
10
00
01
10
00
00
11
10
00
00
10
10
11
00
00
11
10
10
10
00
10
10
01
00
00
10
10
00
00
01
00
01
00
10
00
00
10
10
10
01
10
10
00
11
10
00
01
10
01
10
10
01
11
10
00
00
11
10
10
10
10
00
00
01
00
11
00
11
10
10
11
01
11
00
10
10
00
11
11
10
11
00
01
01
01
01
10
01
00
11
00
10
10
11
11
10
00
00
00
10
00
00
10
10
00
00
11
11
11
10
11
00
10
10
00
11
10
01
01
01
01
10
00
10
10
00
00
00
10
00
00
00
10
00
00
10
10
10
00
10
00
10
10
11
01
10
00
00
01
11
01
00
10
00
00
00
10
10
11
01
00
00
10
10
00
10
10
01
00
11
00
00
00
10
00
00
10
10
00
00
10
11
00
00
11
11
10
00
11
00
11
10
01
10
00
01
00
00
11
10
01
01
00
10
00
10
10
00
00
10
00
01
00
01
00
10
10
01
01
11
11
00
10
00
10
11
00
01
00
00
10
01
10
10
10
01
11
01
01
11
11
01
00
01
10
10
01
11
00
01
00
11
00
10
11
00
10
11
10
00
11
10
11
10
00
10
10
01
00
01
10
00
00
10
10
10
10
01
11
10
01
11
00
00
00
10
00
01
10
00
10
10
00
10
00
01
00
00
01
00
00
00
10
10
10
10
00
00
00
00
10
10
00
01
01
01
11
00
00
01
11
10
10
10
01
00
10
00
00
10
11
11
01
00
10
11
10
10
10
10
00
11
10
00
01
11
10
00
11
00
11
00
00
11
00
00
10
10
11
11
00
00
10
01
10
10
00
01
11
00
00
00
01
11
11
10
11
10
10
01
10
00
01
00
11
10
11
11
00
00
00
00
11
01
10
00
10
10
00
10
11
00
00
11
00
00
10
01
10
01
11
00
00
00
10
10
00
01
11
10
10
10
10
11
10
00
00
10
10
01
11
10
11
00
00
11
10
00
00
10
11
11
10
11
00
10
00
00
01
10
10
01
01
00
00
00
00
10
10
10
00
01
10
01
10
10
10
01
11
10
00
00
10
10
11
01
00
00
00
11
00
10
10
11
10
10
10
00
10
00
01
11
10
11
01
01
10
11
00
10
10
00
11
00
11
00
11
11
11
00
10
10
01
10
10
00
10
10
01
00
00
01
00
11
00
11
10
11
10
01
00
10
00
00
11
00
10
10
01
01
10
10
10
00
00
00
00
10
00
10
11
01
10
11
11
10
10
11
00
10
10
00
00
00
10
10
01
11
11
01
01
10
10
01
00
01
10
11
00
10
10
10
11
00
00
10
10
01
10
00
10
00
01
10
01
00
10
00
10
01
11
11
01
01
10
00
00
10
00
11
10
00
01
10
00
10
11
01
00
10
10
11
00
11
10
00
10
00
10
10
00
01
00
00
00
10
11
10
00
10
00
01
00
00
10
01
10
10
10
10
00
00
00
01
10
01
10
00
00
10
01
00
10
01
00
11
00
10
11
10
11
01
10
00
01
10
10
00
01
11
11
00
00
01
00
01
10
00
10
11
00
01
10
11
00
11
10
11
00
01
00
10
01
10
10
00
10
10
11
00
11
11
00
01
01
00
11
11
00
10
11
01
00
10
10
11
00
00
00
11
01
00
10
00
00
10
10
00
10
10
00
00
01
11
10
00
11
00
01
10
10
00
10
10
00
10
01
10
00
01
10
00
11
00
00
01
10
01
11
01
10
10
11
10
00
00
01
01
00
10
01
11
10
01
10
10
00
11
11
00
00
11
00
00
11
00
00
10
10
00
00
10
10
00
00
10
11
10
00
00
11
10
11
11
01
10
10
00
11
00
10
10
01
11
01
00
10
11
00
10
10
11
01
10
00
01
00
10
11
11
10
01
01
10
10
10
10
00
10
00
10
11
10
10
10
10
11
10
00
10
00
10
00
00
00
10
10
00
00
01
10
01
00
10
10
10
00
10
10
01
01
00
01
10
10
01
01
10
10
10
10
00
00
10
10
01
00
00
10
01
01
11
01
01
10
00
00
00
00
00
00
00
00
10
10
01
00
01
00
10
00
10
01
00
10
11
10
10
01
10
10
00
00
11
10
10
01
11
00
01
10
01
11
01
00
00
10
10
11
00
10
11
00
00
00
00
10
00
00
00
10
11
01
01
11
10
00
00
00
00
11
11
00
01
10
10
11
11
10
10
10
01
11
10
00
10
10
10
01
10
10
00
10
10
11
10
01
00
00
11
10
00
01
10
10
00
00
10
11
00
01
11
00
10
10
01
10
10
01
10
00
00
10
10
11
00
01
10
10
10
00
11
00
01
10
10
00
00
01
10
11
00
10
00
11
10
00
11
10
00
11
10
11
10
01
00
00
10
10
00
00
10
00
10
00
10
00
00
00
01
10
10
00
01
00
10
10
00
00
01
00
10
10
11
10
00
10
01
11
00
10
10
00
00
10
10
10
10
01
00
10
10
01
00
10
00
01
10
00
11
10
10
00
00
10
00
11
10
00
00
10
00
00
10
00
00
10
00
10
10
00
11
10
01
11
10
11
00
00
00
11
00
00
11
10
10
01
00
01
01
00
01
10
11
00
00
11
11
01
01
11
10
00
10
10
00
01
10
10
00
10
11
00
10
00
00
10
00
00
11
01
01
10
10
11
00
00
00
00
11
01
00
10
01
10
01
11
11
11
10
00
11
10
01
10
10
01
01
00
11
00
00
00
11
10
00
00
11
11
10
01
00
10
10
11
01
11
01
01
01
10
10
01
01
11
10
01
10
11
10
01
11
00
00
00
00
11
11
01
00
01
10
10
10
10
10
00
11
00
11
10
00
11
01
00
10
01
01
00
10
11
11
00
10
11
01
00
10
01
00
00
00
10
00
01
10
00
01
00
00
01
10
10
01
10
10
00
00
11
11
10
01
00
10
01
01
10
01
01
10
00
00
00
00
10
00
10
00
00
10
01
10
10
10
01
10
10
10
01
11
01
11
01
01
11
01
10
11
10
10
01
00
00
11
00
00
11
00
10
10
10
00
00
10
10
10
10
00
10
10
10
10
10
10
00
10
10
10
00
10
10
10
10
00
01
10
00
10
10
00
11
11
10
00
10
00
01
11
11
00
00
10
10
11
10
10
00
01
00
00
00
10
00
01
10
11
10
10
00
00
11
00
10
10
00
01
11
00
01
10
10
00
00
11
10
00
10
11
01
10
10
00
01
10
10
10
01
11
11
00
00
10
01
10
10
00
10
01
00
11
10
01
10
10
01
00
10
10
00
10
01
00
10
11
10
01
10
00
10
01
10
01
01
11
11
11
00
00
00
00
11
10
11
00
01
01
01
00
11
10
01
01
10
10
00
00
01
01
01
01
10
01
10
11
01
00
01
10
00
01
01
10
00
00
10
10
01
00
10
01
11
01
00
00
10
01
00
10
00
01
00
11
11
00
11
10
10
01
00
10
10
10
00
10
10
00
01
10
10
10
00
00
00
00
10
10
00
10
10
10
00
00
01
00
01
01
00
10
11
01
11
00
01
11
10
10
00
10
11
01
01
11
11
00
01
00
11
10
01
11
10
10
00
10
11
11
00
10
10
01
10
10
00
00
10
11
11
10
10
00
11
00
00
00
00
11
00
10
11
10
01
11
01
00
00
11
00
00
10
10
00
00
00
11
01
01
00
00
10
11
00
01
00
11
11
11
10
01
10
10
01
01
01
11
00
00
10
11
10
11
10
00
01
11
01
01
00
00
11
11
10
11
10
01
11
10
00
10
10
00
01
10
00
01
01
00
10
10
10
10
11
00
10
10
10
11
10
10
01
00
10
00
00
11
00
10
00
00
01
01
01
11
00
01
01
10
01
10
10
00
00
10
00
01
11
11
10
00
01
10
10
00
00
00
10
00
10
00
00
10
00
11
10
10
11
10
11
00
10
00
00
00
10
01
01
11
10
11
11
11
11
11
01
01
11
00
00
10
10
10
10
00
00
10
10
00
00
10
00
00
01
00
00
11
00
10
01
10
10
00
00
10
10
10
00
11
10
11
10
00
01
10
11
00
00
00
00
10
10
00
10
11
00
10
10
00
01
01
01
10
00
01
01
10
00
00
10
10
00
10
10
01
01
00
00
10
01
00
11
11
10
00
00
01
00
00
00
10
10
01
10
10
01
00
00
10
10
00
00
10
10
11
01
10
10
11
11
01
10
10
10
10
01
00
00
10
10
00
10
01
00
11
01
10
11
00
10
00
11
10
01
10
11
10
01
01
01
10
01
10
10
11
11
01
01
11
00
00
00
01
10
01
00
11
10
11
00
11
01
00
01
11
11
01
10
00
01
11
01
10
10
00
01
00
00
11
10
10
01
00
10
00
01
10
11
11
01
01
10
01
10
11
10
00
00
10
11
10
10
10
00
00
00
01
01
01
00
10
00
01
10
11
00
10
11
00
01
00
01
10
10
10
01
11
11
10
00
00
10
00
00
10
10
10
10
00
01
00
10
10
00
00
00
10
10
10
00
10
11
10
00
01
10
11
00
00
10
00
10
10
10
01
10
10
10
11
01
00
00
10
00
00
00
11
10
11
11
00
01
10
10
00
01
11
11
00
10
10
01
01
10
00
00
10
00
00
10
00
01
01
00
10
00
10
00
10
10
11
00
00
11
10
01
10
00
01
10
00
00
00
11
11
00
10
00
11
00
10
11
00
11
11
10
11
00
10
00
10
11
01
11
00
00
00
00
10
01
01
10
00
11
00
11
10
00
01
10
10
00
00
11
10
00
00
11
10
01
00
10
00
00
00
11
10
01
11
10
10
10
10
00
10
11
00
10
11
00
00
10
11
11
10
11
10
00
00
00
10
10
11
01
00
11
01
10
11
11
00
00
10
10
11
10
00
11
10
10
10
00
00
01
10
01
00
00
00
10
00
10
10
00
00
00
01
00
00
01
10
11
00
10
00
01
10
10
01
01
01
10
11
11
10
00
10
00
01
10
11
10
00
01
00
10
00
01
10
11
01
10
11
10
10
01
00
11
01
00
10
01
01
00
11
10
01
10
11
01
10
11
11
01
00
00
00
00
00
11
10
00
00
10
10
00
01
01
10
00
10
01
01
00
11
10
01
00
01
10
10
11
10
00
00
11
10
10
00
00
11
01
01
00
00
10
11
10
10
10
00
10
10
10
00
10
01
11
00
01
00
10
11
01
10
10
00
01
10
10
00
00
11
10
00
00
10
10
01
11
11
11
00
00
01
01
10
00
00
10
10
10
00
01
00
11
00
00
11
10
10
11
01
00
11
00
10
11
10
10
00
00
11
10
00
10
00
00
10
00
10
00
01
00
10
10
10
01
00
11
00
01
00
11
00
10
01
01
00
11
10
10
01
10
10
01
00
10
10
10
00
00
10
00
01
10
10
00
10
10
10
10
10
01
00
00
10
10
00
11
10
10
01
00
10
00
00
00
10
10
01
00
11
10
00
10
01
00
10
00
01
00
10
11
01
11
11
00
00
10
10
10
01
10
10
00
10
01
01
10
10
00
00
01
10
10
00
00
11
11
00
11
00
01
10
11
01
11
11
01
00
10
10
10
11
00
00
10
10
11
00
00
00
11
10
00
10
10
10
00
01
00
00
10
10
10
01
01
00
01
11
00
00
01
11
00
00
10
10
00
01
00
01
11
01
10
10
01
10
10
10
10
01
01
11
01
01
11
01
00
01
00
00
00
11
10
10
00
10
10
00
00
10
01
01
01
01
11
11
11
00
10
11
10
00
10
01
01
10
01
00
00
10
00
10
11
10
00
00
10
00
00
10
10
11
00
10
10
01
10
00
11
00
01
11
01
10
10
00
10
01
11
10
10
11
01
10
00
10
01
10
11
00
11
00
00
00
11
10
00
01
10
00
00
10
00
00
10
10
00
00
00
10
00
10
10
00
01
01
11
10
00
10
11
00
01
01
10
10
10
10
00
00
10
11
01
11
10
10
10
11
00
10
00
10
01
11
10
00
11
10
00
01
01
10
00
00
10
00
10
00
00
00
11
11
00
01
11
00
00
00
10
10
10
00
01
00
00
10
10
10
11
11
00
00
11
01
11
11
01
00
01
00
01
11
10
01
00
10
11
11
01
00
10
00
10
10
01
00
10
01
01
11
11
10
00
10
10
10
01
01
10
10
01
10
10
10
01
00
10
10
00
10
10
10
00
00
10
00
10
11
11
00
10
11
01
11
11
10
01
10
01
00
00
10
10
00
10
11
00
10
10
01
11
11
01
10
00
00
10
10
10
01
01
10
10
01
11
10
11
00
00
01
10
11
11
11
10
00
00
10
00
00
00
10
10
10
11
01
01
10
00
00
00
01
10
01
00
10
10
11
01
10
00
00
00
01
00
10
10
10
10
10
10
10
11
01
00
10
11
00
11
01
01
01
10
00
00
11
10
01
00
00
10
00
01
10
11
01
01
10
11
11
01
00
10
10
01
10
11
11
11
10
00
00
00
01
11
11
10
00
10
00
10
00
11
10
11
10
10
00
00
01
10
11
01
00
00
10
01
10
10
00
00
10
00
00
10
10
11
10
10
10
11
01
00
10
11
10
01
00
01
10
00
10
10
01
11
00
00
10
01
00
00
00
10
10
01
01
11
11
10
10
00
01
10
01
00
10
10
10
10
00
00
01
00
10
10
00
01
00
00
10
00
00
10
10
10
00
10
01
00
00
10
11
11
00
10
10
00
00
11
10
00
10
01
00
11
11
00
10
11
10
00
01
10
00
11
10
00
11
00
01
10
10
00
00
00
10
10
00
01
00
11
11
01
01
11
10
00
10
00
00
10
11
01
00
10
10
10
10
00
00
00
00
01
10
10
10
10
00
01
00
10
10
01
11
01
10
10
11
00
00
10
00
00
00
11
10
11
11
10
00
11
01
10
10
01
00
11
10
01
01
10
11
11
10
01
00
10
11
00
00
10
00
00
11
01
00
10
10
00
10
11
00
00
10
10
10
10
00
01
10
11
00
01
11
10
10
01
00
00
11
11
11
00
10
00
10
01
00
11
00
00
11
10
10
00
01
10
10
01
11
10
01
10
00
10
00
00
10
10
00
01
11
01
11
10
00
10
00
00
00
10
11
10
10
10
10
00
00
11
00
10
00
10
10
00
00
10
10
01
10
10
01
00
11
10
00
00
10
00
10
01
00
00
00
10
01
01
11
00
00
10
00
11
10
10
01
01
00
00
10
01
01
10
10
00
00
10
10
10
10
10
10
00
01
11
10
00
00
10
00
10
10
00
01
10
00
00
10
01
11
11
01
01
10
11
10
01
00
11
10
00
00
10
10
00
00
10
00
10
00
00
00
10
10
01
00
01
10
00
00
11
10
00
00
10
11
00
10
10
01
11
00
00
11
10
00
00
10
10
00
01
11
11
00
00
00
00
00
00
00
11
00
01
10
01
11
11
11
11
10
00
10
10
00
00
11
00
00
10
10
00
11
10
10
11
01
11
00
10
00
10
10
10
00
01
10
10
01
11
10
00
11
11
00
10
10
10
11
01
00
00
10
11
00
11
10
00
00
11
01
10
10
01
10
00
00
10
00
10
01
00
10
11
10
01
01
00
10
10
11
10
01
00
10
00
10
11
00
01
10
10
00
01
00
10
10
00
01
11
01
00
00
10
10
11
10
00
00
00
10
10
11
01
00
11
11
11
11
10
11
10
00
01
00
10
10
01
00
00
10
10
10
10
01
01
00
00
10
11
00
00
00
10
11
11
00
10
10
00
10
00
00
10
01
00
11
00
11
00
10
10
01
11
00
10
11
11
10
10
00
00
10
01
00
10
00
11
01
00
00
11
01
10
11
00
00
10
10
10
10
00
01
11
00
10
10
01
00
10
00
00
10
10
11
00
10
11
10
10
11
00
01
11
10
00
00
10
10
10
00
10
10
10
00
00
10
00
00
11
10
01
00
01
00
00
10
00
10
11
01
00
10
10
01
01
10
10
01
00
10
10
11
01
00
11
10
00
00
10
11
11
10
01
01
10
00
00
01
11
10
01
11
10
10
10
01
10
10
00
00
11
10
00
00
00
10
11
10
00
10
10
10
00
01
10
10
01
10
11
01
10
10
10
01
11
10
01
10
10
00
11
10
00
00
10
01
00
01
00
10
00
00
11
11
00
01
10
10
01
01
10
10
00
00
10
00
00
01
10
01
10
10
00
10
11
10
01
01
00
11
10
11
00
00
10
10
00
01
11
10
10
10
10
11
10
00
01
01
11
11
00
00
11
00
10
01
00
00
10
10
00
01
10
11
10
01
10
00
01
10
01
01
00
00
10
11
10
10
00
10
00
10
00
00
10
10
11
00
00
10
11
00
00
00
10
00
10
10
10
11
01
00
10
01
10
00
11
11
10
01
11
00
01
00
10
00
01
10
10
00
01
00
00
10
10
10
01
11
11
10
11
01
01
11
00
10
10
10
00
01
01
01
10
11
11
01
00
10
00
00
11
10
10
01
00
01
00
00
00
00
00
11
10
01
00
00
00
00
00
11
10
01
10
11
01
11
11
10
00
00
00
00
00
00
00
11
10
00
01
01
00
10
10
00
01
11
10
00
01
00
01
10
11
11
00
11
10
11
00
10
00
01
00
11
10
00
00
00
10
11
11
00
11
11
00
00
01
11
11
00
00
10
10
10
10
00
00
10
01
11
00
10
01
01
00
00
11
11
00
00
00
00
00
10
10
10
00
01
01
10
01
10
00
10
10
10
10
01
00
11
01
11
00
00
10
00
11
11
00
00
00
10
01
10
00
00
10
01
01
10
11
00
10
11
00
10
11
10
00
01
11
00
01
11
11
00
00
01
10
10
01
10
10
11
00
01
11
10
00
10
01
00
10
11
00
00
01
01
11
11
11
10
10
00
00
01
10
10
00
00
00
01
00
10
10
01
00
10
10
00
01
01
00
10
11
00
10
10
10
10
00
10
00
00
10
10
00
11
11
11
10
11
10
10
11
10
00
01
11
11
10
10
11
01
10
01
00
10
10
10
00
00
10
10
11
01
10
00
10
00
00
00
11
10
01
11
10
10
00
01
11
00
10
11
00
00
10
01
01
11
01
11
11
00
00
11
10
01
11
10
01
00
01
10
00
00
10
01
10
10
11
11
00
01
00
10
10
10
00
11
11
00
01
10
00
10
11
00
01
10
10
00
10
01
01
00
11
10
10
01
00
00
01
11
10
11
10
01
01
00
01
00
01
10
10
10
00
11
10
10
00
01
00
01
11
10
01
10
11
10
00
00
10
00
01
11
11
00
11
00
00
00
10
00
00
11
01
11
00
11
00
11
10
01
01
10
11
00
10
01
11
10
01
11
00
01
10
00
10
10
10
01
11
10
01
00
10
00
10
10
00
00
11
00
00
00
00
10
11
11
10
01
00
11
10
00
10
10
00
01
01
01
01
00
11
10
10
01
10
11
00
00
00
10
00
00
10
10
00
00
10
00
10
01
10
10
00
01
10
10
00
01
11
01
10
11
00
11
10
00
10
10
11
00
00
10
01
11
00
10
11
01
01
00
10
10
01
00
01
00
10
00
10
10
00
11
00
11
10
00
11
00
10
11
10
00
10
10
11
00
01
11
00
00
00
00
11
11
00
00
00
10
10
10
10
00
10
00
01
10
00
00
10
01
01
00
00
10
10
00
10
11
00
00
11
10
01
01
11
10
00
10
11
00
00
01
10
11
10
10
00
11
00
00
01
01
10
10
10
01
11
10
01
11
11
10
01
00
11
00
11
00
00
10
10
11
10
10
00
11
00
00
11
10
01
00
11
00
10
11
10
01
00
01
11
10
01
10
01
00
01
11
01
10
10
00
00
00
11
10
10
11
00
10
10
00
10
10
01
11
11
10
10
00
11
10
00
10
11
00
01
00
10
01
01
11
01
10
00
00
10
01
00
00
10
11
00
11
10
10
00
10
00
01
10
00
10
10
00
01
00
01
11
10
01
01
11
01
00
10
10
00
00
00
10
11
00
00
11
00
11
10
00
10
10
00
10
00
00
00
11
11
01
01
10
00
00
10
10
01
00
10
10
10
00
10
01
11
01
10
10
01
10
00
01
00
11
11
10
10
00
00
10
00
00
10
00
10
00
01
10
00
10
10
01
00
01
11
10
10
01
00
10
10
01
00
00
00
10
10
00
00
00
11
10
10
00
10
00
00
10
10
00
10
00
01
10
10
10
11
10
00
00
10
01
11
10
00
10
00
10
00
10
10
11
00
10
11
10
00
10
01
00
00
11
10
00
11
10
10
10
10
00
00
00
00
11
10
10
11
10
11
00
00
00
00
10
00
11
11
10
00
00
01
10
10
10
00
00
00
10
00
10
10
00
10
00
11
10
10
10
00
01
10
11
00
10
11
00
10
00
11
01
00
00
10
00
00
10
11
00
10
01
10
00
11
10
00
10
01
00
10
10
00
00
00
11
10
10
10
10
01
00
10
01
00
10
10
10
11
10
10
01
01
11
10
00
01
11
01
00
01
00
10
10
10
10
10
10
00
11
10
00
00
00
10
11
11
00
01
11
10
10
00
10
10
01
00
00
00
00
11
00
11
11
10
00
11
10
10
11
00
00
01
00
10
10
00
01
00
00
11
00
00
10
11
00
00
01
10
11
10
00
10
11
00
11
00
01
00
10
00
10
10
00
10
01
00
00
01
11
01
01
01
10
00
00
11
01
00
10
01
00
10
00
10
01
01
00
10
11
00
01
00
11
00
00
00
10
00
11
10
00
11
00
01
10
00
01
01
11
11
00
00
10
00
10
10
00
00
11
10
10
00
00
10
10
00
00
10
11
00
10
11
00
01
00
01
00
10
10
00
00
10
10
01
01
01
11
01
00
11
10
10
00
00
10
10
00
01
00
01
00
01
10
10
10
00
00
10
00
10
00
00
10
10
10
00
00
00
10
01
10
01
00
11
10
10
01
10
00
11
00
10
01
10
11
01
10
10
10
00
01
01
11
00
11
10
01
00
10
10
00
11
01
00
10
00
01
11
00
00
11
10
01
11
00
10
11
00
00
10
10
00
00
11
11
11
11
01
00
00
00
10
00
10
01
11
10
11
00
10
10
10
00
10
10
11
11
01
10
01
11
11
11
00
10
10
00
00
00
10
10
00
10
10
10
10
00
10
00
11
00
00
10
10
01
11
10
01
10
11
00
01
11
00
10
11
11
00
00
10
00
11
10
00
01
01
11
00
01
00
10
00
00
10
11
01
00
11
00
11
10
00
01
10
11
00
01
11
11
11
00
00
10
11
01
11
11
00
01
10
00
00
10
11
00
00
00
00
00
00
10
10
10
00
11
10
01
11
00
10
10
01
10
00
10
11
00
00
00
00
00
10
00
00
10
10
10
00
11
00
10
10
10
11
11
10
00
01
10
10
00
01
10
00
11
10
01
10
10
11
01
01
00
11
10
00
11
01
00
11
01
00
11
10
00
00
10
00
10
10
01
11
00
00
00
10
00
10
00
10
10
11
01
11
00
00
00
00
10
11
00
11
00
00
10
01
10
00
10
01
10
00
10
10
00
00
01
10
00
00
10
00
00
10
01
10
10
11
00
01
10
00
01
00
10
01
00
11
11
01
01
00
10
10
11
00
10
00
01
10
10
00
10
10
01
10
11
00
10
01
00
00
10
10
01
10
10
00
00
10
00
10
10
10
01
10
10
00
00
11
10
11
10
10
00
01
00
11
11
01
00
11
10
00
10
11
00
00
10
10
11
00
11
00
00
01
11
01
00
10
10
10
00
01
10
11
11
00
00
00
11
11
10
01
00
01
10
11
00
10
00
00
10
10
10
11
11
00
10
00
01
01
10
10
00
10
11
00
10
01
11
00
00
00
11
00
10
01
01
00
10
11
00
00
10
10
10
01
00
10
01
01
10
11
00
01
10
11
00
11
11
00
00
00
10
10
00
10
10
11
01
11
10
00
00
11
10
00
00
10
11
01
10
10
10
10
10
01
00
11
10
00
10
10
01
00
00
10
00
00
11
10
00
00
11
11
10
10
11
00
00
10
01
10
00
00
10
01
10
00
01
00
00
10
10
00
10
11
01
00
01
01
01
11
11
10
10
00
10
10
01
01
10
10
01
00
11
01
10
10
10
00
00
10
00
00
10
11
10
10
10
10
01
00
00
00
00
11
00
11
10
11
00
00
10
01
00
01
00
10
00
01
10
00
01
01
11
01
00
11
01
10
00
00
10
10
00
00
11
11
01
11
01
00
11
01
10
10
01
00
00
01
01
10
01
00
10
10
11
10
10
00
00
01
10
11
00
10
11
11
01
01
10
10
10
00
00
00
10
10
00
00
00
11
01
10
11
10
01
01
01
10
10
10
00
01
00
10
10
10
00
10
10
00
00
11
10
00
11
00
10
00
00
10
10
00
00
10
10
01
01
11
11
11
11
10
10
00
10
01
01
10
11
11
01
00
00
11
10
00
00
11
10
10
00
00
00
01
10
10
10
01
11
10
10
10
00
11
00
10
10
00
10
10
10
10
00
11
00
11
00
10
10
00
01
10
11
10
00
10
00
00
10
10
01
10
10
00
00
11
00
10
11
00
00
00
10
10
01
00
01
10
01
10
10
10
11
01
00
11
01
10
01
00
00
10
01
11
11
00
00
00
01
00
00
10
11
10
11
10
01
01
00
00
10
00
10
11
01
11
01
10
11
10
00
00
00
11
10
11
10
11
01
00
01
10
01
10
10
01
00
10
11
00
00
11
11
10
01
00
00
01
00
00
11
00
01
00
11
10
00
00
10
10
00
10
00
00
01
00
00
01
00
11
10
11
00
11
10
00
00
00
00
11
11
00
10
11
00
10
10
01
11
00
01
11
10
01
10
00
00
01
10
11
00
00
00
10
00
10
00
00
10
11
00
10
10
01
11
00
10
10
10
11
00
10
00
01
10
10
10
00
00
00
11
11
10
01
00
01
10
10
01
11
11
10
10
01
01
10
00
10
11
00
00
11
10
00
00
11
10
01
01
11
10
10
00
00
00
11
10
11
00
10
00
01
10
00
10
10
10
01
01
10
10
10
00
00
10
10
11
00
00
10
00
10
00
10
10
10
10
00
00
11
00
00
11
10
01
00
10
00
10
10
10
00
00
11
00
00
11
00
00
10
00
11
10
01
10
10
00
10
10
01
00
01
10
00
10
10
00
11
10
10
10
01
10
11
01
00
00
01
00
00
00
10
10
00
01
10
00
00
00
11
11
00
10
10
00
01
10
00
11
00
00
10
00
11
00
00
10
10
00
00
01
11
00
00
11
01
10
00
00
10
00
01
01
10
01
10
10
00
00
01
10
10
10
00
10
01
01
10
00
00
01
00
00
10
00
00
10
00
10
10
11
00
10
11
00
11
10
01
11
11
00
01
00
10
11
11
01
01
00
10
10
11
00
10
10
01
01
00
10
10
00
00
00
00
00
01
11
00
01
10
00
10
00
00
10
11
10
11
00
11
01
11
01
00
00
10
10
01
00
11
10
10
01
10
10
01
01
01
00
00
10
11
00
00
01
11
11
10
10
01
10
10
00
11
10
10
00
00
00
10
00
01
10
10
11
10
00
10
10
10
00
00
10
10
10
11
00
00
01
11
11
10
01
01
00
10
10
01
00
10
10
10
01
00
10
00
00
10
01
00
01
10
00
10
11
01
10
10
00
00
10
11
00
10
10
00
00
11
11
00
11
11
00
10
01
00
00
01
10
10
00
10
11
11
11
11
00
11
01
00
00
00
00
11
01
00
10
10
00
10
01
11
10
00
11
11
11
00
00
00
10
00
01
00
11
10
01
10
10
00
01
10
11
00
11
01
00
10
10
11
00
00
00
00
10
01
11
00
00
10
01
10
01
01
10
10
01
10
11
00
00
00
00
11
01
10
11
10
00
00
00
11
11
00
00
01
10
00
00
01
10
10
10
01
01
11
01
00
00
01
00
11
11
01
11
10
00
10
10
00
01
10
11
01
10
10
11
01
01
01
11
00
01
00
11
10
00
11
00
01
11
00
01
00
11
00
01
11
11
11
00
10
11
10
01
00
01
01
11
10
10
10
00
10
11
00
00
01
10
11
01
01
00
00
10
01
00
10
01
00
10
10
10
01
11
11
01
00
01
00
10
10
00
10
11
10
00
00
11
10
10
10
00
00
11
01
00
10
10
10
11
00
00
11
10
10
01
00
11
10
00
01
10
10
10
01
00
10
00
11
10
11
10
01
10
00
00
10
11
01
00
11
01
01
00
00
10
00
10
11
10
10
01
01
10
01
01
00
11
01
11
10
10
00
10
10
00
00
10
00
00
11
10
01
00
10
00
00
10
10
00
00
00
11
10
00
01
00
00
11
10
00
00
01
10
00
01
10
10
00
10
10
01
11
01
10
10
11
11
11
00
10
00
10
11
11
00
01
10
10
00
10
11
01
00
10
00
10
00
00
10
00
10
11
00
00
00
11
10
01
01
11
10
10
01
01
00
10
10
00
00
10
10
00
00
00
01
11
01
00
10
10
10
11
10
10
00
00
11
00
01
10
00
11
10
01
10
10
00
00
01
11
10
00
10
01
01
10
11
00
10
10
01
00
00
11
11
11
11
10
00
01
00
01
11
10
10
01
00
00
01
11
11
00
10
11
01
10
10
10
00
00
00
00
11
10
01
10
11
10
10
10
00
11
10
00
01
00
11
00
00
10
01
11
10
01
00
00
10
11
00
01
10
11
00
01
11
00
11
11
00
00
10
00
00
00
11
10
00
10
00
00
11
10
00
00
10
10
00
11
11
11
00
00
11
01
00
00
10
10
00
11
10
01
11
10
00
00
00
01
11
10
10
00
00
00
10
10
10
00
01
01
00
01
10
01
00
01
00
10
10
01
10
01
10
10
11
10
01
01
11
11
00
00
10
10
01
11
10
01
10
00
10
00
11
00
10
00
00
10
10
00
01
10
10
01
10
00
10
01
00
00
00
10
11
00
10
00
11
01
11
00
10
01
01
10
00
11
10
10
10
01
11
10
10
00
00
00
01
00
11
00
11
00
00
10
10
10
00
10
10
11
00
10
10
11
11
11
00
01
10
11
10
00
10
00
00
11
10
00
00
11
00
01
11
10
01
00
00
00
10
11
00
00
11
11
10
10
10
01
00
10
00
10
10
01
01
10
00
01
00
00
00
10
10
00
10
10
11
00
10
10
11
10
10
00
01
11
00
10
00
10
10
11
00
11
11
11
00
00
00
00
11
10
00
11
01
00
10
01
00
00
00
00
11
10
00
10
11
10
01
11
00
10
10
11
00
00
11
10
01
01
01
11
10
10
11
10
00
01
10
11
00
00
00
01
11
11
00
01
00
00
00
00
11
10
00
00
01
10
00
00
10
10
00
11
00
00
11
01
10
00
00
11
00
00
00
10
00
10
00
00
00
11
01
11
00
11
11
00
01
10
10
00
10
10
00
10
10
00
11
11
00
01
00
01
10
00
00
00
00
10
01
11
11
00
01
10
00
10
10
00
00
10
11
00
10
11
11
01
01
00
00
11
01
10
11
01
01
11
10
00
11
00
00
11
00
10
00
10
11
10
10
00
10
11
00
11
00
00
01
11
11
00
00
11
00
01
10
10
00
00
10
01
00
11
10
00
10
10
00
00
00
11
10
11
01
01
01
00
00
11
00
10
00
00
10
00
00
00
00
10
10
10
11
01
01
01
00
11
01
00
11
10
00
01
01
10
00
00
10
00
10
10
01
00
11
00
10
00
11
10
10
00
00
01
10
00
00
11
10
01
00
10
10
10
10
00
10
00
00
00
11
00
11
00
10
10
11
00
01
01
10
01
11
10
01
00
11
11
01
00
10
00
01
11
11
00
00
10
10
11
00
00
10
10
00
10
00
00
10
11
10
00
00
00
10
00
10
01
00
10
10
11
01
01
01
10
10
10
10
10
00
01
10
10
11
00
11
10
10
00
00
00
00
10
10
00
00
01
01
11
00
11
00
00
10
01
10
11
00
01
10
10
00
00
11
01
00
10
00
10
00
10
11
10
01
00
11
11
10
10
01
00
11
10
00
11
00
01
10
10
01
00
01
10
11
10
10
01
01
00
11
10
00
11
11
00
00
10
11
00
11
10
00
00
10
10
10
00
01
11
00
00
00
11
01
10
11
01
01
10
10
00
10
11
00
10
11
10
01
00
00
00
00
10
10
11
01
00
11
11
10
01
10
10
10
00
00
10
01
11
10
00
11
10
10
10
00
00
00
10
10
00
01
11
11
10
10
00
11
01
01
00
11
01
10
00
11
01
00
11
10
00
00
00
00
11
11
00
01
01
10
10
01
00
01
10
10
01
00
10
10
00
00
00
10
10
11
00
11
01
01
11
00
00
10
10
00
10
00
10
11
01
00
10
00
00
01
10
11
00
00
10
11
00
00
11
10
11
00
10
01
00
10
00
11
00
11
00
00
11
11
10
01
11
10
00
01
10
00
00
01
00
11
10
00
11
10
00
01
00
01
10
10
00
10
11
01
10
11
00
10
01
00
11
11
10
00
00
11
01
10
11
10
00
00
10
10
00
01
11
11
00
00
00
11
10
01
00
10
00
01
00
00
00
11
10
10
00
11
00
00
00
11
10
01
01
01
10
00
10
11
00
11
00
01
10
11
10
00
11
10
10
00
00
10
00
10
00
00
11
11
11
10
00
00
10
00
11
00
00
10
00
10
01
01
10
01
10
00
00
01
00
00
11
00
10
10
01
11
01
10
10
10
01
11
10
00
00
00
10
00
00
11
11
10
00
00
00
00
00
00
10
10
00
00
11
10
11
10
01
10
01
01
10
11
01
11
10
00
10
10
00
11
01
00
01
10
10
10
10
01
10
00
00
11
10
11
10
11
11
10
00
00
10
10
10
00
11
00
11
00
00
10
11
10
01
00
10
00
00
10
10
10
01
01
10
10
10
11
00
10
10
00
10
10
00
11
01
00
10
10
00
00
11
00
11
10
00
00
11
10
10
01
01
11
10
11
01
01
11
11
01
01
11
10
00
00
11
10
11
00
01
11
10
00
00
10
01
00
00
10
10
01
10
00
11
10
10
10
11
10
10
01
10
00
11
00
00
00
11
00
11
00
10
00
01
10
10
11
01
00
01
01
11
10
00
00
01
10
10
11
00
00
00
11
10
00
00
10
00
10
10
00
00
00
11
10
00
10
00
00
10
11
00
01
10
11
00
11
11
01
00
10
10
01
00
00
10
11
01
00
11
01
11
10
00
01
00
10
10
00
10
00
01
00
00
10
10
11
10
10
10
00
00
00
00
10
10
01
10
10
10
00
00
11
11
00
10
10
00
10
10
00
01
10
10
00
00
10
10
10
01
00
10
00
11
00
00
00
10
01
01
01
00
10
10
10
01
00
11
11
11
01
10
10
00
00
00
10
11
00
00
01
10
00
00
01
11
01
01
00
10
10
00
10
10
00
00
11
00
11
00
10
10
00
00
00
11
10
10
10
10
01
00
01
10
10
11
10
00
01
11
10
01
00
11
11
00
00
10
10
01
10
00
10
10
01
10
01
11
00
01
10
10
01
11
11
01
01
11
00
01
11
00
01
10
11
00
10
10
00
01
10
01
10
00
01
11
00
10
10
00
01
10
01
01
00
10
10
10
10
11
10
01
01
11
10
10
10
00
00
10
00
01
00
10
10
00
11
10
10
00
01
10
00
01
00
11
00
10
10
11
01
01
11
10
00
00
00
00
01
00
10
00
11
10
10
10
00
10
00
11
10
10
01
00
10
10
00
00
00
10
00
10
10
10
01
00
10
01
10
11
00
10
00
01
00
10
11
00
00
10
10
10
10
10
10
10
11
10
00
00
10
01
00
00
00
01
01
10
00
10
10
10
10
10
00
10
01
01
01
01
01
01
00
00
00
11
10
00
01
01
10
11
01
10
00
01
11
01
11
11
00
10
10
01
01
11
00
00
10
10
10
00
00
10
10
00
01
10
11
11
01
10
10
10
10
11
00
11
00
00
10
10
00
00
00
01
11
10
10
00
11
00
11
11
11
00
11
10
00
00
00
10
11
10
11
00
01
00
11
01
00
00
11
00
00
11
10
01
00
00
11
01
00
10
10
01
00
01
10
10
11
10
00
00
11
11
10
00
10
01
10
01
00
11
00
00
00
10
00
01
00
00
10
00
10
10
11
01
11
10
00
11
11
00
00
11
11
00
11
10
01
10
00
01
01
00
10
00
10
11
10
00
11
10
00
00
01
11
00
01
11
10
00
11
01
01
10
10
10
11
00
10
00
00
00
10
00
00
11
10
01
11
10
01
11
10
00
10
00
10
01
01
10
10
10
00
00
00
00
10
10
01
00
01
10
11
10
11
00
10
00
00
10
10
00
00
01
00
01
01
00
10
10
10
01
11
10
11
10
00
10
01
10
10
00
10
00
00
00
00
10
11
11
00
10
10
00
00
10
01
11
00
01
11
10
01
11
00
10
01
00
10
10
10
11
11
11
00
00
01
11
00
00
11
00
11
10
00
10
01
10
00
00
11
00
01
11
01
01
10
11
01
00
11
10
10
00
10
00
11
10
00
10
00
10
00
00
10
10
11
01
11
00
00
00
11
00
11
10
00
00
00
11
11
01
10
00
01
00
01
01
10
10
00
00
10
10
00
00
10
01
11
11
00
10
00
11
10
10
00
01
11
00
10
11
00
00
11
11
10
10
00
10
10
00
00
01
00
11
10
01
11
00
00
00
00
10
10
00
11
10
00
00
01
10
11
00
11
10
10
10
11
00
00
10
10
00
10
11
00
01
11
01
11
10
00
01
10
10
00
00
10
10
01
11
10
00
10
00
00
10
10
00
10
00
10
01
10
10
00
10
00
01
10
10
10
01
10
10
00
01
00
11
10
11
00
01
10
10
11
01
00
00
00
10
00
10
11
00
11
00
01
01
11
10
10
11
00
00
00
00
10
00
00
11
11
10
00
01
10
11
00
00
10
01
10
00
10
10
11
00
00
10
11
00
10
00
00
10
10
00
01
10
01
10
10
10
11
11
00
00
11
00
10
00
11
00
10
01
00
10
11
11
01
00
11
10
00
10
10
10
10
10
00
11
10
00
00
10
01
10
10
01
10
00
10
00
11
00
01
10
10
01
00
00
11
01
00
00
10
10
10
10
00
00
10
10
11
00
11
10
01
00
00
11
00
10
10
01
10
10
00
00
11
00
11
10
10
00
10
11
01
00
10
01
00
11
00
10
10
10
01
10
11
00
01
10
00
01
11
10
00
10
10
10
00
00
00
10
11
00
01
11
10
00
00
10
11
00
01
01
10
11
01
00
10
01
10
10
00
01
10
10
11
00
00
11
10
00
01
10
11
10
00
11
11
00
00
11
10
10
00
10
00
11
11
00
10
10
00
10
00
10
10
00
01
01
01
10
10
00
11
11
10
01
01
11
11
10
00
11
10
00
11
10
00
10
10
10
01
01
01
10
00
11
01
11
01
10
11
00
00
11
11
01
01
00
00
10
01
10
10
01
00
11
10
00
10
10
10
00
01
11
00
00
11
10
10
00
01
10
01
00
10
00
00
01
10
00
10
10
10
00
10
11
11
00
10
01
11
01
10
10
00
10
10
00
01
10
10
10
01
11
00
10
10
00
00
11
10
11
10
00
11
10
01
00
00
11
00
11
10
01
01
01
10
00
10
10
10
01
01
10
10
00
00
10
11
10
01
00
01
10
10
10
11
10
00
00
10
00
01
00
00
11
01
10
00
01
00
00
00
10
10
11
00
01
10
01
01
10
00
00
00
00
01
10
11
00
00
10
10
01
00
10
10
01
10
01
00
11
11
00
00
10
00
00
00
11
10
00
00
11
11
10
00
00
00
10
11
00
00
10
00
10
01
10
11
10
01
10
10
10
00
00
11
10
00
00
10
00
01
01
00
00
00
00
10
00
10
11
01
10
00
01
01
11
01
10
11
00
00
01
00
00
11
10
00
11
10
00
11
11
00
01
00
00
10
01
10
10
10
10
10
00
10
01
11
00
11
00
00
00
00
10
01
11
11
10
01
00
10
00
00
11
10
00
10
10
01
10
00
01
11
00
11
00
01
10
10
10
00
00
01
10
10
10
10
11
10
00
00
10
11
00
00
00
10
11
00
00
10
00
10
10
10
00
00
10
11
00
00
01
10
11
10
11
10
00
00
10
01
10
00
00
11
11
11
11
00
01
00
10
10
00
11
10
00
10
11
10
11
00
01
10
00
10
11
00
10
11
01
01
01
00
10
00
01
10
00
00
10
11
00
00
10
00
11
00
11
10
00
00
00
01
10
10
10
00
10
00
00
10
00
01
11
01
01
11
10
01
10
10
01
00
11
10
00
00
01
11
11
11
10
10
10
01
00
10
00
00
10
10
10
11
00
00
10
10
11
00
10
01
01
00
00
10
10
11
00
01
01
10
10
10
01
01
01
10
10
00
10
10
10
00
01
10
01
00
10
10
01
01
10
10
01
11
00
10
10
11
10
10
01
10
00
10
10
00
00
00
00
10
00
10
11
11
00
00
11
01
11
00
10
10
00
00
11
00
00
11
10
00
00
00
00
10
10
10
01
00
00
00
10
00
00
10
01
00
00
10
10
00
00
10
10
10
11
00
10
10
01
10
01
00
11
11
00
11
01
10
00
10
01
00
00
11
10
00
11
11
01
10
11
01
11
01
01
10
01
10
01
10
11
00
10
11
11
00
11
10
00
01
00
00
01
11
10
01
00
00
00
11
01
11
10
01
01
00
11
10
01
00
10
10
10
00
00
10
10
01
01
00
10
00
11
10
10
10
10
10
00
11
10
10
01
10
11
00
10
01
10
00
00
10
01
01
01
10
00
00
10
01
00
11
00
00
10
10
00
00
00
00
01
10
00
11
00
10
10
00
10
01
10
11
01
00
00
11
10
00
10
10
01
00
00
11
10
00
10
10
11
01
01
01
11
10
00
10
11
01
01
10
10
10
10
00
01
11
11
11
10
01
01
10
00
00
10
11
00
11
00
11
00
01
10
00
00
10
10
00
10
10
01
10
00
01
10
10
00
10
11
11
10
00
10
10
10
10
10
10
01
10
00
01
10
10
00
00
10
10
00
00
10
00
01
11
10
00
11
11
11
11
01
01
00
10
10
10
10
01
00
10
10
00
11
00
11
11
11
10
00
11
10
01
00
10
11
10
00
01
00
11
10
01
01
01
10
00
00
11
00
00
10
00
10
10
00
10
11
00
00
10
01
00
00
11
00
10
00
00
11
10
11
11
11
00
00
01
10
10
01
00
11
01
01
10
10
00
11
11
00
01
11
10
10
00
00
11
11
10
00
11
10
00
10
10
00
10
01
00
01
10
10
00
01
10
00
11
01
00
11
11
01
11
10
00
00
10
10
00
01
10
00
01
11
10
10
00
00
00
10
00
00
10
01
01
10
00
11
00
00
00
00
10
00
01
10
10
00
00
11
10
11
00
11
11
11
10
01
10
00
01
00
10
10
01
01
10
00
00
11
11
11
10
11
00
00
10
00
10
10
10
00
00
01
00
01
11
00
00
11
10
11
00
01
00
01
10
10
00
00
10
11
01
00
10
00
01
10
10
00
00
11
00
00
01
10
11
00
00
10
00
00
11
01
00
11
00
00
10
10
00
10
11
01
01
11
11
10
10
00
01
11
00
01
10
10
00
10
00
00
10
11
10
00
10
00
00
00
00
10
11
11
10
10
00
01
11
11
00
00
01
11
10
01
00
10
10
01
00
10
11
00
10
01
11
00
11
00
01
10
10
00
11
01
10
10
00
11
10
01
10
00
11
10
01
00
00
10
10
11
00
10
00
11
11
11
00
00
10
01
10
10
00
00
00
11
10
10
01
11
10
00
10
01
10
10
00
00
01
11
10
11
00
00
00
00
00
00
01
11
01
01
00
11
00
00
00
11
01
01
10
11
10
01
10
11
11
11
00
00
11
10
10
10
01
00
11
10
00
10
11
00
11
00
00
00
00
10
00
11
11
11
01
01
10
10
00
01
00
10
10
01
00
01
11
10
10
11
00
00
00
10
10
10
01
00
11
11
11
00
10
01
00
11
10
00
01
10
10
10
00
00
10
11
10
10
10
01
10
00
10
10
10
10
10
01
00
00
01
10
11
11
00
00
10
11
00
01
10
00
10
10
01
01
01
11
01
01
10
01
10
11
00
00
10
10
00
00
10
10
00
10
00
00
00
00
00
00
00
11
00
10
00
01
10
00
11
00
11
10
00
00
10
11
01
11
10
10
11
10
10
00
00
00
10
10
00
01
10
00
10
11
00
11
00
00
10
10
10
10
10
10
10
11
00
00
11
01
00
00
00
10
00
00
00
10
01
10
11
11
10
00
10
00
01
00
10
01
10
01
10
10
01
00
00
00
00
11
10
10
10
10
00
00
11
00
01
10
10
10
10
10
00
10
10
00
00
01
10
11
00
00
00
00
10
00
10
10
11
11
11
11
11
10
10
00
00
00
10
10
00
00
10
00
00
11
10
11
00
00
11
10
01
01
00
00
11
11
01
10
10
00
00
10
00
01
10
00
10
10
00
01
10
10
10
00
01
01
01
11
10
10
10
00
00
10
11
00
01
10
10
00
10
10
10
10
01
01
00
00
00
10
00
10
11
10
00
00
00
01
11
10
00
11
01
10
10
01
00
01
00
00
11
10
01
11
11
11
10
01
01
00
10
10
10
01
00
00
11
10
01
00
00
11
00
00
10
10
00
10
10
00
00
10
00
00
10
10
10
10
00
01
01
00
01
01
11
10
10
00
00
11
00
11
00
00
10
01
00
00
10
11
11
00
01
00
10
10
00
00
01
10
10
00
00
00
11
00
11
10
00
10
00
01
10
10
00
10
10
01
10
10
00
01
10
11
00
00
01
00
10
00
00
11
00
01
10
01
01
10
11
00
00
10
00
00
10
01
11
10
00
00
01
11
00
11
10
10
10
00
00
10
00
10
10
10
00
00
10
00
11
11
10
00
00
01
01
01
10
10
01
00
10
10
11
01
00
11
11
10
11
10
00
01
00
10
01
01
10
11
10
00
10
10
00
00
01
10
10
00
11
11
00
00
11
11
01
10
11
00
00
10
11
01
00
10
01
10
11
10
10
10
01
01
10
11
10
00
01
00
00
11
10
01
01
10
11
00
00
10
11
00
01
10
00
10
10
00
10
00
00
11
10
00
00
10
00
00
10
11
01
10
00
10
00
11
00
10
00
10
11
00
11
00
01
00
10
11
00
10
10
01
01
00
11
10
10
10
00
00
10
11
01
01
00
10
00
10
00
01
11
11
00
10
01
10
10
01
01
11
10
00
00
01
00
00
10
10
00
00
10
00
10
10
01
00
00
10
01
10
10
10
11
01
10
11
00
01
00
01
00
11
01
01
01
10
10
00
10
10
10
10
00
00
00
11
00
01
00
10
01
00
11
10
11
00
01
00
10
11
01
01
11
10
00
01
11
01
01
11
10
00
00
00
11
10
01
00
01
11
00
00
11
11
11
10
00
00
10
10
00
10
00
11
10
00
00
01
00
10
01
10
00
00
10
10
00
00
10
11
00
10
01
00
00
10
11
01
00
00
00
10
11
10
10
10
10
10
00
10
10
00
00
00
10
11
11
10
00
00
01
00
10
01
01
10
00
00
10
00
01
11
11
10
10
01
00
00
00
11
10
11
00
11
00
11
10
00
00
10
10
00
10
10
11
10
00
01
10
11
00
11
11
10
01
00
10
00
00
11
01
00
00
10
11
10
01
10
10
10
10
00
01
00
10
10
00
01
10
10
01
01
10
01
10
11
00
10
10
00
00
10
01
00
00
10
11
01
00
10
00
10
00
00
11
00
00
10
00
10
10
11
11
01
01
10
00
00
10
00
00
01
10
10
00
00
10
00
11
11
10
01
10
10
01
00
00
10
10
01
10
00
00
10
00
00
10
00
00
11
11
11
10
11
10
00
01
11
11
00
10
11
01
10
01
01
00
01
10
00
10
01
00
01
00
10
00
01
10
01
01
00
10
10
00
10
10
01
00
10
00
01
10
11
00
00
01
11
10
01
01
11
01
01
10
10
00
10
10
00
00
10
10
00
10
10
10
10
10
10
01
10
00
11
01
00
10
11
00
11
00
00
11
11
00
01
10
10
01
00
11
11
01
01
00
10
00
11
10
10
11
01
10
10
01
01
01
00
10
00
01
01
10
10
00
10
00
10
10
00
00
01
00
11
10
00
00
01
00
01
00
10
11
11
00
10
00
00
10
01
00
10
10
00
01
01
10
00
00
10
11
00
01
10
10
10
00
00
00
10
11
01
00
00
11
10
10
11
10
10
00
01
01
00
00
01
10
00
00
10
11
00
00
11
10
01
10
00
00
10
10
01
11
10
00
00
10
00
00
10
10
00
01
11
11
10
11
10
11
10
10
00
00
10
00
00
10
01
01
01
10
11
10
11
10
00
00
11
00
00
00
10
10
11
00
00
10
00
10
00
00
10
10
00
00
10
01
00
10
01
00
01
11
01
00
01
00
11
00
00
10
10
10
00
10
11
10
00
10
10
00
11
00
00
10
00
10
10
11
10
01
11
01
01
00
10
10
01
01
00
10
10
11
01
10
00
00
00
10
11
10
00
01
00
10
00
00
11
01
10
10
01
00
10
00
01
10
00
11
00
10
10
00
10
11
00
10
11
00
00
11
11
01
10
01
10
01
00
10
00
01
00
10
00
10
01
10
00
00
00
10
10
10
11
00
00
10
00
10
10
10
10
01
00
00
11
10
11
10
00
00
00
10
10
11
11
10
11
01
10
11
01
00
10
10
00
00
01
10
01
11
11
01
01
11
00
00
10
11
00
00
11
10
00
11
01
01
10
10
01
01
01
11
01
01
01
10
00
11
10
10
10
01
11
10
00
01
11
11
00
11
01
11
11
00
10
10
00
00
11
10
01
01
10
00
00
00
00
00
11
11
10
11
00
00
00
01
01
10
00
01
01
11
10
01
01
10
10
00
00
10
01
10
01
10
01
00
11
10
10
10
01
10
11
00
00
01
01
00
10
11
10
10
00
10
10
10
11
01
01
01
00
10
10
10
11
00
10
11
00
10
00
10
01
11
10
10
00
00
10
00
00
01
01
01
00
10
00
10
00
01
10
11
00
01
10
11
10
01
11
11
10
00
10
10
01
01
00
10
11
10
00
10
00
10
00
01
10
00
10
10
10
00
00
01
00
11
00
01
01
10
10
11
10
00
11
11
10
00
10
01
00
10
00
00
10
11
10
00
00
10
01
10
01
01
11
11
10
10
10
10
00
11
11
00
01
00
00
00
11
11
11
10
00
10
10
10
11
10
00
10
10
00
10
01
10
00
00
10
00
00
00
10
01
01
01
01
00
11
00
01
11
10
00
10
00
00
00
10
00
11
00
00
11
00
10
10
10
01
00
10
11
00
11
11
10
10
10
01
11
00
00
10
00
00
10
00
00
01
10
00
01
01
01
11
00
10
00
00
11
00
00
00
10
10
11
01
10
01
00
11
11
11
00
01
10
00
10
00
00
11
10
00
10
01
10
10
01
10
11
10
01
10
10
00
00
00
10
00
00
00
10
00
10
10
01
11
01
00
11
00
00
00
10
11
00
11
10
01
10
01
10
00
10
00
00
11
00
00
00
11
11
11
00
01
11
10
01
11
00
01
00
10
10
00
01
10
00
01
00
10
10
01
11
01
00
10
01
11
00
00
10
10
00
11
10
00
00
10
01
01
10
00
11
01
00
10
00
11
11
00
00
01
11
10
00
11
00
01
10
00
11
10
00
00
10
11
10
01
00
00
01
10
11
10
01
01
01
10
10
10
01
11
10
11
00
11
00
00
00
00
00
10
10
00
11
10
00
10
11
11
10
00
00
11
11
01
01
11
11
00
10
01
11
10
00
01
11
10
01
10
11
00
00
01
00
10
10
10
00
11
01
01
01
10
00
00
10
10
10
00
10
11
00
10
10
10
01
01
00
00
11
00
10
00
10
10
10
00
00
00
10
10
00
01
10
11
00
10
11
00
00
10
00
00
10
01
11
11
10
00
10
00
00
11
11
00
00
11
10
00
00
10
00
00
10
00
00
01
00
10
01
10
10
10
10
00
00
00
00
00
10
10
00
10
00
00
01
00
10
01
10
00
00
10
00
00
10
10
01
01
01
00
00
10
10
00
01
00
10
10
11
00
10
11
00
01
01
10
11
00
00
10
01
11
00
00
10
01
00
10
01
01
10
11
00
00
11
11
00
11
10
01
10
10
11
10
10
10
10
00
00
10
11
00
00
00
00
10
10
00
10
11
10
10
01
00
00
00
00
01
10
00
01
11
00
11
11
00
01
00
01
11
10
11
00
01
10
11
00
11
11
10
00
00
00
10
01
00
10
11
11
11
10
01
11
11
00
00
10
10
00
01
10
11
00
00
00
11
11
00
00
10
11
11
10
10
00
01
11
01
11
11
10
01
00
00
00
10
10
00
10
10
00
11
10
11
10
10
10
10
10
00
10
10
11
10
00
11
11
10
00
10
00
10
11
00
10
10
10
10
00
00
01
00
11
00
00
10
00
11
10
00
00
10
00
00
10
10
11
10
00
00
01
10
10
10
01
01
10
10
10
00
00
10
11
00
01
10
10
10
01
11
00
10
10
11
00
10
10
10
01
00
01
10
10
10
10
11
00
01
10
01
01
11
00
10
00
00
01
00
10
11
00
11
10
01
01
10
10
00
11
00
10
10
10
11
11
01
01
10
10
10
01
00
01
11
10
00
00
00
01
00
10
00
10
00
10
01
11
10
00
01
00
00
00
10
11
10
00
00
01
01
00
00
10
11
00
00
01
11
10
10
00
10
11
10
10
00
11
01
10
00
11
00
11
11
00
10
01
01
11
10
01
10
01
10
00
00
10
11
00
00
10
10
11
11
01
01
00
00
00
10
00
00
10
10
10
10
10
10
01
01
11
01
00
10
10
00
00
00
11
10
00
00
01
10
01
01
10
11
01
01
00
00
11
10
00
00
01
10
11
00
10
00
01
10
10
11
00
11
10
11
10
00
00
11
00
01
10
10
11
10
01
00
10
00
01
10
10
01
00
01
00
00
00
10
10
11
00
00
00
11
10
00
10
01
00
10
00
00
00
11
00
10
10
01
11
10
01
01
11
10
10
10
11
10
00
01
11
10
10
00
11
01
11
11
10
01
00
01
00
01
11
11
11
00
00
10
00
11
00
00
11
00
10
00
00
10
10
01
00
11
11
00
01
10
11
10
00
00
11
00
00
01
11
00
10
01
00
11
11
11
00
10
01
10
01
10
00
01
11
10
10
00
00
10
11
10
01
00
01
00
10
10
00
10
11
11
11
01
11
10
00
00
00
10
00
00
10
10
00
10
01
01
01
00
10
11
00
10
01
11
11
10
10
10
01
01
00
11
10
00
00
00
00
00
11
11
00
10
10
10
00
11
00
00
10
10
00
00
10
10
01
00
10
11
00
01
10
10
00
10
10
01
10
10
00
10
11
01
10
11
00
01
10
10
10
00
01
00
00
11
10
00
00
11
11
10
01
01
10
10
11
10
11
10
00
00
11
11
01
00
00
00
10
10
10
10
10
01
00
01
10
01
00
10
10
10
00
00
10
11
00
11
01
01
01
00
11
01
00
10
10
01
00
10
00
11
00
00
00
01
10
01
00
10
10
00
10
10
10
01
11
01
10
00
00
10
11
10
00
01
10
10
11
00
10
10
00
00
01
01
00
00
10
11
10
00
01
10
01
00
00
10
10
00
00
10
10
11
00
00
10
00
00
01
11
01
10
11
00
01
10
01
00
11
10
00
00
10
10
00
00
10
11
00
10
01
11
10
11
00
01
11
11
11
10
01
01
11
01
01
10
10
10
00
10
10
10
01
10
10
10
01
01
00
10
10
10
00
10
00
11
00
00
11
00
10
00
10
01
01
01
11
00
01
10
10
01
00
10
10
11
01
00
10
00
10
10
00
01
01
10
11
00
01
10
11
10
10
01
10
00
00
10
11
00
01
11
00
10
01
00
10
00
00
10
00
00
00
10
10
00
00
01
10
01
10
10
00
11
10
10
01
10
10
00
10
10
00
00
10
00
01
11
10
10
00
10
10
00
00
10
01
01
11
01
11
00
11
11
00
10
10
00
00
10
01
01
01
10
11
00
00
10
10
00
00
01
10
10
11
00
10
11
10
10
11
11
10
00
10
00
11
11
00
10
11
01
01
00
01
00
11
10
00
00
10
10
00
10
00
01
01
00
11
10
01
10
10
10
00
10
10
00
00
00
11
01
01
10
11
01
01
11
00
01
11
00
00
11
10
00
00
11
11
11
00
00
01
10
10
01
10
10
01
01
10
01
10
10
10
00
01
10
10
01
00
01
10
10
10
11
01
00
01
10
00
00
00
10
10
10
00
00
00
10
00
00
00
10
11
00
10
10
10
00
01
00
01
11
00
00
10
10
11
00
10
01
10
00
10
11
00
00
10
11
10
00
10
01
01
00
01
10
11
00
10
01
01
11
00
01
10
00
11
10
01
01
11
00
10
10
00
10
10
00
00
10
00
10
11
10
11
11
10
01
10
10
01
00
10
00
01
10
10
00
00
11
10
00
11
01
00
10
10
01
00
10
10
10
10
00
10
10
10
00
00
00
01
10
11
10
01
00
10
10
10
10
00
10
11
10
10
10
00
00
10
01
10
00
00
00
00
01
01
01
10
00
00
10
10
10
10
00
01
10
11
11
00
01
10
11
00
10
01
00
10
10
11
00
11
11
10
10
10
00
01
10
11
00
01
10
00
01
10
11
01
10
10
10
00
00
00
00
10
10
00
00
11
11
10
01
01
01
10
10
00
10
10
10
10
00
10
10
00
10
11
11
00
10
11
01
10
10
10
00
11
10
11
00
00
01
10
00
00
00
10
10
00
00
00
00
00
10
00
01
10
10
01
00
10
00
00
10
00
10
01
00
00
10
00
01
00
10
10
00
11
11
10
01
10
00
10
00
00
11
01
11
10
01
00
01
00
01
11
10
01
00
10
01
11
11
00
01
00
00
01
11
11
00
10
11
10
10
10
00
01
00
00
11
01
01
10
10
10
00
01
11
10
00
00
10
01
10
10
00
11
10
10
00
11
01
00
11
00
00
01
10
11
00
11
10
11
10
00
11
11
00
10
01
01
11
10
00
01
10
10
00
00
10
00
01
10
01
00
10
00
10
10
01
00
10
10
10
00
00
10
00
00
11
01
00
10
00
00
00
10
00
10
10
01
00
00
10
10
10
00
01
10
01
10
00
00
11
00
11
10
01
00
00
11
10
10
10
11
11
11
00
00
10
10
00
01
00
10
10
11
10
00
10
10
00
10
10
01
01
10
11
11
00
10
10
00
01
00
00
00
10
10
00
10
10
11
01
00
00
01
10
10
10
10
00
01
10
00
10
00
11
10
00
11
01
00
10
00
00
00
11
10
11
00
01
00
10
10
11
00
00
10
00
11
00
00
00
01
00
11
01
10
00
00
00
10
00
00
01
10
00
10
10
10
01
10
00
10
00
00
10
00
00
01
10
11
00
11
10
00
10
00
01
10
11
10
11
00
11
10
00
00
10
01
00
10
10
10
00
01
10
10
01
01
00
00
11
11
10
01
11
00
10
10
00
10
00
00
10
01
01
10
10
01
00
00
01
00
01
00
11
10
10
01
00
11
10
11
10
01
10
00
00
11
11
00
10
10
11
00
10
11
00
11
10
10
10
00
00
01
10
10
10
10
10
10
01
00
01
10
11
01
10
01
00
01
10
11
00
00
11
10
10
10
11
00
01
11
10
10
00
11
00
10
11
01
00
11
11
00
00
00
10
10
01
00
01
11
11
10
00
11
10
10
00
10
11
10
00
01
00
00
10
10
00
10
10
11
00
00
00
00
00
11
11
10
01
10
10
10
11
01
10
11
00
00
11
10
00
11
01
01
00
10
01
10
11
00
10
00
00
10
10
00
01
00
10
10
00
11
00
00
10
00
00
10
01
01
10
10
10
00
00
00
11
10
11
01
00
00
01
01
10
00
00
10
00
01
01
11
10
10
00
11
10
01
10
10
10
00
10
11
10
00
00
11
11
11
10
00
00
10
00
00
10
10
11
00
01
01
10
11
00
00
00
01
11
10
01
00
00
10
10
00
00
10
10
00
01
10
11
01
10
11
01
00
10
01
00
00
10
11
10
01
01
11
00
00
00
10
11
01
00
10
00
10
10
11
00
00
00
11
10
10
10
00
01
10
10
11
00
10
10
10
10
00
00
10
11
00
10
00
00
10
01
10
10
11
00
00
00
00
00
11
10
00
11
10
00
10
10
10
10
00
00
11
10
10
10
01
10
00
10
00
11
10
01
10
11
10
10
11
01
11
00
11
11
00
01
00
00
01
01
10
10
00
01
11
11
10
11
10
10
01
00
11
10
10
00
00
11
00
00
10
10
11
01
00
10
00
10
10
11
10
11
11
10
00
01
11
10
11
00
00
10
01
01
10
01
10
00
01
01
10
11
10
00
11
00
10
01
01
11
01
10
00
11
00
00
11
10
10
00
01
00
00
10
10
11
00
00
11
00
10
10
10
10
11
10
00
00
00
11
11
01
10
01
10
00
00
01
11
00
11
10
00
00
11
10
10
01
01
00
11
10
00
00
00
10
01
00
10
00
01
00
00
10
10
00
10
01
10
10
00
00
10
10
01
00
00
01
00
10
00
10
10
00
10
01
00
00
11
00
11
00
10
10
01
00
00
10
10
11
10
11
00
01
10
00
10
10
10
01
10
10
11
00
01
00
11
10
01
10
10
00
00
10
10
11
01
10
10
01
01
00
10
11
10
01
10
11
00
11
01
00
10
10
00
01
10
10
00
01
10
11
01
01
11
10
00
00
00
10
10
11
00
10
00
00
10
10
00
01
10
10
00
10
10
00
10
10
00
10
10
10
00
10
01
10
11
00
10
10
01
11
00
00
11
10
00
10
10
00
01
10
00
01
10
00
10
01
10
01
01
10
10
00
11
10
10
01
01
10
11
11
00
00
00
00
10
01
00
10
10
11
10
10
00
00
10
10
10
00
11
01
10
10
11
11
01
10
00
11
11
01
10
10
00
11
11
01
10
10
10
10
00
01
10
10
00
01
01
11
10
00
10
00
11
10
00
00
01
01
10
11
11
10
10
00
10
10
10
00
01
11
11
00
00
01
10
01
10
10
00
11
00
10
00
01
10
00
01
10
00
00
11
11
11
00
10
01
10
00
01
11
11
01
10
10
10
01
10
00
00
01
10
00
00
00
01
00
10
10
01
00
10
11
10
00
01
10
10
10
00
01
11
10
01
00
11
11
00
10
11
00
01
10
10
00
10
11
00
01
11
11
10
00
10
11
00
01
11
10
10
00
10
00
00
01
00
01
01
10
00
00
01
11
10
00
10
10
01
00
01
10
10
01
00
11
00
00
11
00
11
10
01
00
01
10
01
00
10
11
11
01
01
01
10
11
01
10
10
11
01
01
10
10
10
10
01
00
10
10
11
01
10
01
01
01
01
10
00
10
10
10
00
00
11
10
01
01
10
11
10
00
00
00
10
10
00
10
00
00
10
00
00
00
10
00
11
10
00
00
10
11
00
10
00
10
10
00
00
10
11
01
11
10
00
01
00
11
00
01
11
00
11
11
00
00
10
11
10
01
01
10
10
00
10
00
00
11
10
00
01
00
10
10
11
10
00
10
00
10
11
00
00
00
10
11
11
00
01
00
10
11
00
01
11
10
11
01
11
01
00
00
11
11
11
01
00
10
10
01
00
01
10
10
00
00
01
10
00
00
11
11
01
10
01
01
10
10
00
00
11
10
11
00
11
10
10
00
00
10
10
10
01
00
00
10
00
00
11
10
01
00
00
01
11
00
10
00
00
11
11
10
00
01
01
00
00
00
10
11
10
11
00
11
11
10
10
01
00
10
11
10
11
10
01
00
01
10
10
01
10
10
00
11
00
10
11
10
10
10
11
01
00
10
01
00
00
00
00
01
11
10
11
00
00
10
11
00
10
00
00
11
10
00
10
11
10
11
00
10
10
01
00
11
00
00
00
10
10
01
11
10
11
11
01
00
11
00
00
10
10
11
00
10
10
00
00
10
00
01
10
00
00
01
11
00
00
10
11
10
00
00
10
10
10
01
01
00
11
01
11
10
10
00
11
10
00
10
10
00
01
10
10
01
10
10
11
00
11
10
10
01
00
10
11
01
01
11
10
00
01
10
11
10
11
01
01
11
11
01
00
10
10
00
10
10
00
00
11
10
10
10
10
00
01
00
10
10
10
00
11
10
01
10
10
10
11
01
11
10
00
10
01
01
10
10
00
10
10
00
11
11
01
01
01
00
10
10
01
00
10
10
00
01
11
11
00
00
10
00
01
10
01
00
10
00
10
01
00
00
00
10
11
00
10
10
10
00
00
10
01
00
00
11
00
10
10
00
11
00
01
10
10
00
00
10
00
00
10
00
01
10
00
00
10
01
10
01
10
10
00
10
10
00
10
11
00
10
00
10
10
01
01
11
01
10
00
01
10
00
00
10
10
00
01
00
01
10
10
10
11
10
01
00
01
01
01
10
11
11
00
10
10
00
11
10
00
00
10
10
10
00
00
11
00
00
11
01
10
10
00
00
00
00
10
10
10
01
10
00
01
10
01
11
00
01
01
01
00
11
11
10
10
00
10
10
11
01
00
10
10
11
10
11
01
00
11
00
00
10
11
00
00
01
11
01
00
00
00
10
10
11
01
00
10
00
01
01
01
00
10
10
11
01
00
10
11
00
11
01
10
11
10
00
10
00
01
00
10
10
10
01
01
10
01
00
10
10
11
00
00
00
10
10
00
00
11
10
01
10
00
00
10
10
10
01
00
01
10
01
00
10
00
10
00
00
01
10
10
00
01
01
10
01
00
11
11
00
10
10
10
00
10
11
00
00
01
00
00
00
11
10
00
00
00
10
00
00
10
10
01
00
00
10
00
10
00
01
10
01
00
11
10
01
00
10
00
00
00
00
11
10
01
00
11
10
10
10
01
10
00
11
11
11
10
01
10
10
01
00
10
10
11
11
00
10
01
11
01
01
10
01
00
00
01
10
00
00
10
11
00
00
10
10
00
00
00
11
11
11
01
10
10
00
01
10
01
01
01
10
01
10
10
00
01
00
10
01
10
10
00
10
10
10
00
00
10
11
11
01
01
10
10
01
00
10
10
00
10
10
10
11
00
00
00
00
00
11
10
11
00
00
10
00
10
01
10
10
00
10
11
00
01
11
01
00
00
00
10
10
01
01
10
10
10
00
01
01
00
10
10
10
01
10
10
01
01
00
11
01
00
10
11
00
01
10
00
10
00
10
10
11
00
10
00
00
00
11
01
10
10
00
00
10
11
01
00
01
11
00
00
00
10
10
00
00
00
10
11
11
11
10
00
10
00
10
10
00
00
10
10
01
10
01
00
00
01
11
11
01
10
10
10
10
01
11
10
00
10
00
11
10
11
10
10
10
00
11
01
00
10
00
00
00
11
10
10
11
01
11
11
00
00
00
11
11
00
01
11
10
00
00
10
10
01
00
01
00
11
10
11
11
10
01
00
10
11
11
01
10
10
00
00
10
00
00
11
00
11
11
11
00
11
10
00
10
11
00
10
10
00
10
00
00
00
10
11
10
00
00
11
11
11
00
01
01
10
10
11
11
01
10
00
00
01
10
01
11
10
00
01
10
10
10
00
00
10
00
01
10
11
00
10
00
10
10
00
10
10
01
00
11
11
01
11
10
11
00
01
01
01
11
11
01
01
01
10
01
01
11
01
11
10
00
00
10
01
00
00
01
10
11
11
00
00
10
11
01
01
11
10
01
11
10
10
00
00
10
01
10
00
11
00
10
00
01
00
10
10
00
11
11
01
00
11
00
00
00
10
10
10
11
00
10
11
00
01
00
10
10
00
00
00
01
10
00
10
00
00
10
10
00
10
10
10
00
01
10
01
01
00
00
00
01
00
10
10
10
10
00
01
01
01
10
00
10
11
10
10
11
00
00
11
10
01
11
01
10
11
10
00
01
00
00
10
01
01
10
10
10
10
00
10
01
01
10
00
10
10
00
10
10
00
01
00
10
10
11
00
10
10
10
00
00
00
11
10
00
11
01
10
11
00
10
01
11
01
10
01
00
11
11
00
11
10
11
00
00
11
00
10
10
00
10
11
10
10
00
10
11
00
11
11
11
00
11
01
11
00
00
11
00
00
00
01
11
11
11
10
00
10
00
00
11
11
00
11
11
10
00
10
10
00
10
11
01
00
10
11
10
10
00
00
10
10
10
10
00
00
11
00
01
10
01
10
00
10
01
01
11
00
10
10
00
00
10
00
10
10
00
00
00
10
01
00
10
00
00
11
00
10
10
11
00
10
10
01
00
10
10
00
10
10
00
10
00
10
10
00
11
10
00
01
10
11
01
00
00
10
10
01
00
10
10
00
00
10
01
00
00
00
00
11
01
00
11
00
00
10
00
01
10
11
00
10
10
10
11
10
01
01
11
10
00
00
00
01
00
10
11
00
11
10
00
11
01
11
10
00
00
00
00
10
11
01
01
01
00
10
10
00
10
01
00
11
10
11
00
10
01
00
01
10
11
11
10
10
00
00
10
00
10
11
00
00
01
00
01
01
01
11
10
11
10
01
01
01
11
00
00
10
11
01
10
11
00
10
11
01
10
10
11
00
00
11
00
10
00
00
10
00
01
00
00
00
11
11
10
00
00
00
10
11
10
10
10
01
10
10
11
10
00
00
10
00
01
00
00
01
00
00
00
01
11
00
01
10
00
00
01
00
00
11
10
10
11
11
10
10
00
10
10
00
10
10
00
10
00
11
11
01
10
11
01
10
01
01
11
11
01
01
01
00
10
00
10
00
00
11
10
11
01
11
01
11
00
00
01
01
11
01
00
11
11
10
11
11
01
00
00
10
11
00
01
10
11
10
01
01
10
11
00
10
10
11
01
11
01
00
10
10
00
01
10
11
00
10
10
11
10
01
01
01
00
10
00
10
10
01
00
11
10
01
00
11
11
00
10
10
01
10
11
00
00
10
00
11
00
01
10
10
10
10
10
00
00
10
00
01
00
11
11
10
00
00
00
11
10
01
10
00
01
00
10
01
00
10
00
00
10
10
10
00
00
00
01
11
10
00
11
00
10
00
01
10
10
11
00
10
00
00
11
10
10
00
10
10
00
00
01
10
01
00
00
11
00
11
10
10
01
00
10
00
01
11
10
01
10
00
10
00
00
00
11
11
00
11
01
10
01
01
01
00
00
10
10
10
00
11
10
10
00
00
00
10
00
11
10
01
00
00
00
00
10
00
10
10
10
10
10
00
00
10
11
00
11
00
10
10
00
00
11
10
00
01
10
10
10
00
00
10
01
00
11
10
10
10
11
11
00
10
00
10
01
11
11
10
00
10
10
01
00
00
11
01
10
00
11
10
00
10
01
01
11
10
10
00
00
11
10
00
00
00
10
10
11
00
00
10
00
10
11
10
11
11
10
00
00
10
00
11
10
00
00
01
11
00
10
01
01
01
00
01
10
11
00
00
01
00
10
10
01
10
10
11
00
00
01
00
00
00
00
11
10
10
10
01
01
01
10
10
10
10
00
00
01
01
00
10
00
00
00
10
10
01
10
00
00
10
10
10
00
10
01
10
00
01
11
00
00
10
10
10
10
00
11
00
01
00
10
10
00
10
00
11
00
11
01
01
01
01
10
00
10
00
01
10
01
11
10
00
00
01
11
10
01
01
10
11
11
10
00
10
11
11
00
00
01
10
10
00
00
00
00
00
11
01
11
11
10
01
00
00
00
10
10
10
00
00
10
10
00
10
00
11
11
00
10
11
10
10
01
00
01
11
10
11
00
10
10
10
00
10
11
01
00
11
10
10
00
00
11
10
01
00
10
10
11
11
01
01
00
00
10
01
10
10
00
01
00
11
10
01
10
11
00
01
10
11
11
10
00
00
10
01
00
10
01
10
10
11
11
01
00
01
10
10
01
00
10
01
11
10
00
00
11
00
00
00
10
11
01
01
10
00
10
10
10
00
00
11
10
00
11
00
00
00
00
10
11
01
10
11
00
10
10
00
01
10
11
10
10
00
10
10
00
10
11
11
01
10
10
10
11
01
00
00
11
00
00
11
11
00
00
10
11
00
00
10
10
00
00
01
01
10
10
00
00
10
00
10
10
01
10
00
10
11
10
00
01
00
01
00
00
11
11
00
01
10
10
10
01
00
10
01
01
10
00
10
01
01
10
10
00
00
10
00
10
00
10
11
00
11
00
01
00
10
11
11
01
11
11
00
01
00
10
11
00
00
11
00
10
10
01
11
10
10
00
00
01
11
10
01
00
10
01
11
10
00
11
10
11
00
11
10
10
01
01
00
01
00
10
00
11
00
00
00
10
00
10
01
10
00
10
00
00
00
00
10
01
00
00
00
11
00
10
00
00
10
10
00
10
10
00
00
11
00
01
10
00
10
11
10
10
00
01
00
00
00
10
11
00
11
00
10
10
01
10
00
01
11
10
10
01
01
10
11
00
00
10
00
00
11
10
11
10
11
00
01
10
10
10
00
01
11
10
00
10
10
01
00
01
00
11
11
00
10
10
10
01
10
10
00
10
10
10
00
00
11
10
11
10
11
00
11
01
00
10
00
01
11
11
01
00
00
00
10
10
01
00
10
10
00
10
00
10
10
11
01
00
00
00
10
10
10
01
00
10
10
01
00
11
10
01
00
00
10
00
00
10
11
01
01
10
10
00
11
00
00
10
11
01
00
01
11
01
10
10
00
00
11
11
00
00
10
10
01
10
00
00
00
10
00
00
10
00
11
10
11
00
00
00
00
01
01
10
10
10
01
10
10
00
11
00
11
01
11
10
00
11
00
00
11
10
00
01
11
10
11
00
10
01
01
00
10
10
00
00
00
00
00
00
01
10
11
10
01
10
11
11
10
10
01
00
10
10
01
00
10
10
00
10
00
11
10
11
10
00
10
01
01
11
11
00
10
10
01
01
01
10
10
10
10
10
10
01
11
11
00
11
00
00
10
01
00
10
11
00
01
11
10
10
00
10
00
01
10
00
10
00
00
10
11
10
11
00
10
11
00
00
00
10
11
10
10
00
01
00
11
00
00
00
10
00
11
10
01
10
00
00
01
10
10
00
00
10
00
01
10
11
10
00
11
10
11
00
01
10
10
00
01
10
10
10
00
10
10
10
10
00
00
00
00
10
11
00
10
01
00
00
00
10
10
00
00
10
10
10
01
00
11
10
00
00
00
10
10
01
11
10
00
00
01
00
10
00
00
00
00
10
01
11
11
00
11
00
11
01
10
00
01
10
11
00
01
10
11
00
11
10
00
10
10
10
00
01
10
10
01
10
00
00
11
00
10
00
10
00
10
10
00
00
01
11
10
00
10
00
00
00
01
00
10
10
00
10
11
10
00
10
10
01
01
11
11
01
10
00
11
01
10
10
01
00
11
10
10
00
00
11
00
00
01
10
11
11
10
00
10
10
00
10
11
11
00
00
11
01
11
11
00
11
10
00
00
00
11
10
10
01
00
10
10
00
10
10
10
11
11
11
10
01
11
11
00
00
00
00
00
11
10
00
11
11
10
10
10
00
10
10
00
00
10
10
01
00
10
10
10
01
10
11
00
00
10
11
00
10
10
01
00
10
11
00
00
10
11
00
10
01
01
10
00
00
00
01
00
10
10
01
11
10
01
10
00
01
10
00
00
10
10
00
00
10
10
11
10
00
00
11
01
11
00
00
10
00
10
11
10
11
00
00
10
00
00
10
10
00
01
10
10
10
10
11
10
01
00
10
00
10
00
10
10
00
10
10
11
00
00
10
01
01
10
10
10
00
10
10
01
00
10
10
11
00
10
10
10
10
01
10
11
00
01
01
00
00
10
11
00
00
10
00
00
10
10
01
10
00
00
11
11
11
01
10
01
10
11
00
01
10
11
01
01
10
10
10
00
11
11
11
00
00
00
00
10
10
10
00
10
11
11
01
10
10
01
00
00
10
10
10
00
00
00
01
10
10
11
00
00
10
00
11
10
10
00
10
11
00
00
00
11
10
00
01
01
01
00
10
00
10
10
00
11
10
00
00
11
10
10
01
00
00
10
00
00
10
00
10
10
11
10
11
00
01
11
00
10
11
10
01
01
10
00
10
00
00
00
10
01
10
10
00
00
11
11
11
01
10
00
00
10
00
10
01
00
01
01
10
10
00
00
01
01
10
10
10
10
01
01
10
01
00
11
01
01
11
10
10
11
00
01
00
00
10
10
01
00
00
00
00
00
01
10
10
00
11
10
01
10
01
00
00
10
00
00
10
10
10
10
01
11
10
10
11
00
10
00
01
00
10
11
10
10
11
11
00
01
00
10
01
10
00
10
01
00
11
00
00
11
00
00
10
11
01
10
00
00
11
10
10
11
00
00
10
11
00
01
10
11
10
10
11
00
11
11
01
00
00
01
11
01
01
00
11
10
11
10
00
01
10
11
00
00
10
00
11
01
01
11
10
00
11
11
01
00
10
10
00
01
11
00
00
01
10
11
01
10
11
00
10
00
11
10
01
11
10
01
11
10
00
01
10
01
00
10
00
00
00
00
10
00
11
11
00
11
10
00
00
10
10
00
01
10
11
00
10
00
01
00
01
00
10
00
01
11
00
10
10
00
00
00
10
10
10
10
11
00
00
10
00
11
11
10
00
10
10
11
11
00
10
11
01
00
01
01
10
01
01
11
00
00
10
10
10
00
00
11
10
10
11
10
01
10
01
10
00
10
10
10
00
01
00
01
10
11
10
10
00
01
00
10
10
00
10
10
00
01
10
10
11
10
01
10
01
10
10
00
00
01
10
10
01
00
10
01
11
00
10
11
01
00
11
10
01
11
00
10
10
01
01
00
10
10
11
01
10
00
00
10
10
00
01
01
00
01
10
11
00
10
10
00
10
10
00
10
01
01
00
00
00
11
00
10
00
10
01
10
11
00
10
10
10
11
11
01
01
10
10
10
01
00
11
11
00
00
00
00
00
00
10
11
10
11
00
11
11
10
00
00
10
11
10
11
00
01
10
01
11
00
10
10
11
00
00
10
00
10
01
01
11
10
10
00
01
10
10
10
00
11
01
01
10
10
01
00
11
10
10
00
00
11
10
11
00
00
11
10
00
00
11
10
01
10
00
11
10
01
00
00
10
10
00
00
00
10
00
11
10
01
10
11
10
00
00
01
00
10
00
00
00
10
10
11
10
10
01
00
00
00
10
11
00
01
10
00
10
00
00
10
01
11
11
00
10
01
11
00
00
11
11
00
11
10
10
11
11
01
00
00
10
10
11
10
10
01
00
00
11
01
00
01
10
11
10
11
00
00
11
11
01
00
00
10
10
00
00
01
10
11
10
00
10
10
10
00
01
11
11
11
00
10
11
00
00
10
10
00
00
10
00
00
10
01
01
01
00
10
10
00
10
00
00
10
10
01
10
00
00
00
11
00
01
10
00
00
00
10
10
00
10
00
00
10
11
00
01
10
00
01
10
00
10
11
01
10
10
10
11
00
11
00
01
10
00
10
10
00
00
00
10
10
00
11
10
01
00
00
10
11
00
00
00
11
10
11
00
00
10
10
10
10
10
00
10
10
10
11
01
00
11
00
00
01
00
10
11
11
00
01
00
01
11
11
10
00
10
11
10
01
01
10
10
10
01
11
11
01
01
10
10
10
00
10
10
01
10
00
00
10
00
00
10
00
11
01
00
10
10
10
10
11
11
00
01
10
10
10
01
11
00
00
01
00
00
01
11
10
10
00
00
10
00
10
01
00
01
11
10
01
11
10
00
10
10
10
01
01
10
10
01
11
00
10
00
01
10
00
01
11
11
01
10
11
00
00
10
11
00
01
10
10
11
11
11
00
10
10
01
10
00
01
10
11
11
11
01
10
11
00
00
10
00
00
10
11
00
10
11
10
10
10
01
00
10
11
10
10
00
00
00
01
01
10
11
10
10
11
00
00
11
10
01
00
00
11
00
00
10
00
01
11
11
11
00
00
00
01
00
11
00
00
10
10
10
11
10
01
01
10
00
00
10
10
00
00
10
01
11
10
00
00
10
01
01
00
11
10
11
00
01
11
10
11
00
01
11
10
00
10
11
10
01
10
10
01
00
00
10
00
00
01
10
00
10
11
10
01
00
00
11
00
00
10
11
00
10
10
10
01
01
01
00
00
11
11
10
00
11
10
00
11
10
00
10
11
10
01
00
00
10
10
00
00
10
10
01
01
10
00
00
00
11
00
10
10
10
00
10
11
00
00
00
10
00
10
10
10
00
00
00
00
10
00
10
00
10
00
00
10
10
01
00
11
01
11
11
01
10
00
11
10
10
01
10
10
00
00
01
00
00
01
10
11
10
00
10
00
00
10
11
00
10
01
01
00
00
11
01
00
00
10
10
10
10
00
10
10
00
10
10
00
01
10
11
00
00
01
10
10
01
10
01
11
10
00
11
01
10
10
11
00
10
10
00
00
10
11
11
10
00
00
00
11
01
10
00
00
10
01
10
10
00
01
00
01
01
00
01
01
00
00
00
10
10
01
00
11
00
00
11
01
11
11
00
00
00
10
10
00
11
10
00
00
10
10
10
10
00
01
01
10
11
00
00
01
10
01
10
10
00
00
10
01
00
10
00
10
10
00
11
00
00
11
10
01
00
10
11
00
10
00
00
10
00
00
00
00
00
10
00
00
10
00
00
00
00
00
10
11
11
10
10
10
10
10
00
00
10
11
10
10
10
00
10
11
01
00
11
00
00
10
01
10
00
00
10
11
00
10
00
00
11
00
00
10
10
11
00
11
11
11
00
10
00
01
01
11
10
01
00
00
10
00
00
10
00
10
10
10
00
00
00
01
10
01
01
01
11
00
01
11
10
01
00
11
10
00
10
11
00
00
01
11
10
10
00
00
00
01
11
10
01
00
10
00
10
00
00
00
11
11
01
11
01
10
11
01
00
01
10
10
01
11
10
00
00
10
10
10
01
01
00
10
11
10
11
00
01
01
00
11
10
10
00
10
10
10
10
01
10
11
11
01
01
10
10
10
00
00
00
10
10
00
00
10
00
00
10
10
00
00
00
00
10
10
01
01
10
10
10
10
10
00
11
00
01
10
00
11
00
00
10
00
00
00
00
00
10
10
01
10
01
10
00
10
00
11
10
11
00
10
01
11
10
00
11
11
10
11
10
00
10
10
10
00
01
10
01
11
10
00
00
10
10
00
11
10
00
00
10
00
10
11
01
10
11
10
01
10
11
10
01
00
11
01
00
10
00
00
10
00
00
11
10
01
00
00
00
11
00
10
00
01
11
00
00
00
00
01
00
10
10
11
01
10
00
01
01
00
10
10
00
00
10
00
10
11
01
10
01
10
10
00
10
01
01
00
10
00
01
00
11
10
00
11
11
10
01
01
11
11
01
10
10
00
01
10
11
01
10
00
00
11
00
00
00
10
10
01
01
10
10
00
10
10
11
00
01
00
10
11
00
10
01
01
11
01
11
01
11
10
00
01
11
11
10
00
11
00
11
10
01
00
11
00
01
10
11
01
10
01
01
00
10
10
00
00
00
11
11
01
10
10
00
00
00
00
10
11
01
00
00
10
00
00
00
10
01
10
11
11
00
01
11
10
10
00
01
10
01
01
00
11
00
01
10
00
00
11
10
01
00
10
00
00
10
11
01
10
01
00
01
00
00
10
10
01
01
00
10
00
10
11
00
01
01
10
00
00
11
11
10
00
00
00
01
10
01
10
11
10
11
00
11
00
00
10
11
00
01
10
00
00
00
01
10
01
10
10
10
10
01
00
00
10
10
10
10
01
10
10
01
00
00
00
01
00
10
11
00
10
10
10
00
00
00
10
00
01
00
11
10
10
01
11
10
00
00
10
11
11
11
10
10
10
10
00
10
10
00
10
11
01
10
00
10
10
10
11
11
00
11
00
01
01
11
01
00
10
10
00
11
11
11
00
11
01
10
00
01
11
10
01
01
10
10
00
00
10
10
00
00
11
10
01
10
01
11
11
01
00
00
10
00
01
01
10
10
01
01
01
10
00
00
00
01
10
10
10
10
10
10
11
10
10
00
00
00
00
00
11
10
00
00
01
10
00
10
00
11
00
01
01
00
10
00
00
10
10
01
01
10
11
10
01
00
10
10
10
11
01
01
11
00
10
00
00
10
10
00
01
00
01
00
11
10
11
00
01
01
10
10
00
00
11
10
01
10
10
01
10
00
10
10
00
11
00
10
10
01
00
10
10
00
00
01
01
01
01
00
10
11
10
01
10
11
00
00
00
00
01
10
11
00
10
10
00
00
10
00
01
10
00
10
10
11
10
01
01
00
10
01
10
00
10
10
10
10
00
01
01
10
11
00
00
00
11
10
01
10
10
11
00
01
10
00
01
11
01
01
01
10
00
10
10
11
11
00
01
01
10
11
10
11
10
01
00
10
11
00
00
10
10
01
00
00
00
00
01
01
11
10
00
10
11
10
10
00
00
00
10
00
10
01
00
00
00
00
11
11
00
10
10
00
10
11
00
00
10
01
10
11
00
11
01
10
01
01
01
10
00
00
00
11
11
01
00
10
11
11
01
00
11
10
10
00
11
00
01
11
11
01
10
00
11
11
00
00
10
11
00
00
00
10
00
10
11
00
10
10
10
10
00
00
10
10
01
01
11
11
11
11
11
10
00
00
00
01
10
10
00
10
01
01
01
01
01
10
10
10
01
00
11
10
01
10
10
00
00
10
10
10
01
00
11
10
10
00
10
00
01
10
01
00
00
00
01
00
00
10
11
10
10
01
00
01
10
10
10
01
10
10
10
01
10
01
11
01
11
01
10
11
00
10
10
10
00
00
01
10
10
01
00
00
10
11
10
01
00
10
10
10
10
11
00
00
11
10
01
10
10
01
11
00
01
00
10
10
00
10
00
11
10
00
01
00
00
10
10
00
00
00
10
11
11
10
10
10
00
00
00
11
10
11
00
00
10
10
10
00
00
10
10
10
00
00
10
10
00
00
10
01
11
10
11
11
00
10
00
11
10
00
01
10
10
10
00
11
01
01
10
10
01
11
01
01
10
01
00
10
10
10
01
00
10
00
01
00
01
01
10
11
10
10
00
01
10
10
00
00
00
10
10
10
11
00
11
10
01
00
11
11
00
10
10
10
10
01
00
00
10
10
00
01
01
10
10
01
00
01
00
11
10
01
10
00
10
10
01
00
00
10
00
00
10
10
00
00
10
00
10
00
00
00
00
10
11
10
00
01
10
10
00
00
10
00
00
10
11
00
00
00
01
10
10
10
00
00
00
00
10
01
11
11
10
01
00
10
11
00
00
10
00
10
11
10
00
00
10
00
00
10
11
01
11
00
01
00
00
10
00
10
10
01
00
10
10
00
10
01
01
01
10
01
11
11
10
10
11
00
11
10
01
00
01
00
01
01
10
11
00
10
11
01
01
10
10
10
01
01
00
00
00
10
10
11
10
10
00
01
10
10
11
01
01
10
01
01
10
11
01
10
10
00
00
00
11
10
11
10
01
00
10
01
00
00
00
00
11
00
00
01
00
10
00
10
01
10
00
11
10
01
10
00
00
00
11
10
00
01
00
01
10
00
00
00
11
11
01
10
10
00
00
10
00
10
00
10
10
11
10
10
10
10
01
11
00
10
00
01
01
10
01
00
10
11
00
00
11
11
00
10
00
00
00
11
10
00
00
01
10
01
00
10
00
10
10
01
10
10
00
01
00
01
00
11
10
11
01
00
10
10
00
01
00
10
10
00
00
01
10
11
10
01
00
00
00
00
10
10
10
00
10
10
10
01
01
10
00
11
00
10
10
10
10
10
00
00
10
10
00
10
00
00
11
11
01
01
11
00
10
00
00
11
11
00
00
11
00
10
10
10
00
10
10
00
01
11
11
01
01
10
11
10
11
01
10
11
00
00
11
00
10
00
10
10
10
00
00
10
10
00
00
01
11
00
00
00
00
00
00
00
10
00
11
11
10
10
00
00
10
10
01
00
10
10
10
11
01
11
00
10
01
10
10
00
10
10
01
11
00
00
10
11
10
10
10
00
11
00
01
10
00
00
10
00
10
10
01
10
10
00
10
10
11
00
10
11
00
11
11
00
01
01
10
00
00
10
10
11
00
00
11
10
10
10
01
00
10
01
00
00
00
10
11
01
10
10
01
11
11
10
10
00
01
10
00
01
10
00
00
11
00
00
00
00
11
11
00
10
10
10
01
00
10
10
10
01
01
10
10
10
00
00
00
00
10
11
11
00
01
00
00
01
11
00
01
00
10
10
00
01
10
11
10
00
00
00
01
10
01
00
01
10
10
00
10
11
10
00
00
00
01
01
01
10
10
11
11
00
00
00
01
10
01
01
11
10
10
11
00
01
10
10
10
00
00
10
10
00
00
10
10
01
01
10
00
00
01
01
10
11
00
01
10
01
11
01
10
01
10
10
10
00
00
11
10
10
11
10
00
01
00
00
11
01
00
00
01
11
10
10
00
10
00
00
10
00
10
10
11
10
00
01
01
00
10
10
10
00
10
10
00
11
11
10
00
01
01
00
10
10
10
11
00
01
10
00
01
10
00
01
00
01
00
10
10
01
00
10
01
00
10
10
01
10
00
00
11
11
00
10
00
11
10
01
10
01
10
01
11
10
00
01
10
10
11
00
01
10
11
10
10
11
01
11
10
00
00
00
11
10
10
00
01
11
01
00
01
10
10
11
00
10
00
01
10
00
10
01
11
00
10
11
10
00
10
10
10
00
00
01
00
10
11
00
00
00
00
10
11
00
01
01
11
00
01
11
10
10
01
00
00
01
10
10
11
11
11
10
00
10
00
10
10
10
00
00
00
11
00
10
00
10
11
00
11
11
01
00
10
00
10
11
00
00
10
11
01
01
01
00
01
11
10
10
00
00
00
00
10
10
10
00
00
11
00
10
11
00
10
11
00
10
01
10
01
00
11
10
10
01
00
01
10
01
00
01
00
10
10
11
00
10
11
00
00
10
10
00
10
11
10
11
00
01
00
11
00
00
00
10
00
01
00
11
10
01
01
00
00
10
00
00
00
11
00
10
10
10
01
10
00
00
00
10
00
10
10
00
10
00
11
11
10
01
11
01
01
00
10
00
00
11
01
00
01
10
10
01
10
11
00
10
11
11
00
10
00
10
10
10
01
00
10
11
10
00
00
10
10
10
11
10
00
10
01
10
11
11
00
01
11
10
01
01
10
11
11
10
10
00
00
00
10
11
10
00
01
01
01
10
10
01
10
01
01
11
10
00
10
11
11
00
00
10
10
11
10
00
11
01
01
11
01
01
00
00
00
01
10
10
10
00
01
00
10
10
00
00
01
01
11
01
00
00
10
00
00
11
10
00
11
00
01
01
10
00
11
10
00
01
10
10
10
00
00
10
10
01
10
11
10
00
10
01
10
01
01
11
10
00
01
10
10
00
10
10
00
00
10
10
00
10
10
10
00
10
00
01
00
10
01
11
10
00
00
10
10
00
00
00
11
10
00
01
00
10
00
10
01
00
11
10
01
00
10
00
10
11
00
00
00
10
00
00
10
01
11
10
00
00
10
01
00
01
00
00
01
10
11
10
10
00
00
00
10
11
01
01
01
11
10
00
10
11
10
00
00
10
01
00
11
01
01
11
10
10
10
10
00
10
10
01
01
00
10
11
00
10
01
10
00
10
10
00
11
10
11
10
01
11
10
00
00
10
10
01
00
10
00
11
00
10
00
00
10
01
10
10
01
00
10
10
00
01
01
01
10
00
00
11
01
01
11
10
01
00
01
10
00
10
10
00
11
10
01
00
10
00
11
10
10
10
10
01
10
00
10
10
01
01
10
00
01
11
10
10
10
01
11
10
00
00
10
00
00
11
00
00
11
10
11
00
01
11
10
10
00
00
10
00
00
10
01
00
10
00
10
00
10
10
01
00
10
10
10
10
01
00
01
10
10
00
10
11
00
10
10
00
00
01
10
00
00
10
00
00
10
11
10
00
00
00
00
00
10
10
10
01
10
00
10
01
10
00
00
10
10
10
01
00
00
11
10
00
10
10
00
01
01
11
10
00
01
00
11
01
00
11
00
00
11
10
00
01
10
00
10
11
01
01
10
11
00
00
11
11
00
00
00
00
01
01
11
11
11
10
10
01
00
11
10
01
00
11
01
01
00
00
00
11
00
10
10
00
10
11
10
11
10
11
00
11
00
00
10
00
10
10
10
00
11
11
11
10
00
11
10
10
00
00
10
10
01
00
11
10
01
10
10
01
10
00
10
00
01
00
11
11
01
00
00
10
10
01
01
11
10
10
01
11
01
00
01
10
01
10
10
10
00
00
11
00
10
00
10
10
00
01
00
00
10
10
00
10
11
00
11
10
10
00
01
10
10
01
11
00
01
11
00
00
10
11
10
00
00
00
00
10
01
00
11
10
00
10
10
00
11
11
01
10
01
11
01
10
00
11
11
11
10
10
01
11
11
00
00
10
00
11
00
00
00
10
10
11
11
10
01
11
00
01
10
01
01
01
11
00
01
10
10
11
10
01
00
01
10
11
00
00
01
10
00
00
10
10
01
00
00
10
01
01
01
01
00
11
01
00
10
11
00
01
10
11
00
00
00
00
01
10
00
00
00
00
00
10
10
10
00
10
10
00
10
10
10
00
01
00
11
10
00
10
00
00
10
01
00
01
11
00
00
10
10
01
00
01
10
11
11
01
01
10
10
11
10
00
11
11
00
10
01
10
10
00
11
00
00
11
10
11
00
11
11
01
00
00
10
11
01
00
11
10
00
10
11
01
00
10
10
10
01
11
10
00
00
01
10
10
00
00
00
01
10
10
00
11
11
11
00
10
01
00
00
00
10
11
00
00
10
10
00
11
01
00
00
10
11
10
11
10
10
01
11
00
10
00
00
10
11
10
01
10
10
10
00
01
00
10
10
10
10
00
01
00
01
10
01
00
10
00
11
01
00
11
10
11
00
11
00
00
00
00
11
10
10
10
10
00
00
10
00
11
10
00
10
10
00
00
11
00
00
10
01
00
01
10
10
11
01
00
00
10
10
10
10
00
00
11
10
00
10
11
11
10
10
00
01
10
01
10
01
00
11
00
00
00
11
00
01
10
10
10
10
10
01
01
11
00
11
10
00
10
10
00
10
10
00
11
00
10
00
00
10
01
11
00
00
11
00
00
00
10
10
10
00
01
00
00
10
10
01
10
11
01
00
10
10
00
00
10
10
01
00
01
10
01
00
11
00
00
00
11
00
00
10
10
00
01
11
00
00
00
10
10
01
10
01
00
00
00
10
10
00
00
10
00
10
10
10
10
00
10
10
00
11
00
10
10
00
00
11
11
10
01
00
01
00
10
11
10
01
10
01
00
00
10
10
10
00
10
11
01
10
00
00
01
10
01
01
00
00
10
01
10
01
10
00
10
00
01
11
10
01
01
01
00
11
11
01
00
01
10
10
01
01
10
10
00
10
00
00
00
11
11
10
11
11
00
10
00
01
00
00
10
10
00
00
00
11
01
01
10
00
10
00
00
00
10
10
01
11
00
00
10
10
00
11
11
00
10
11
11
11
01
10
10
00
01
11
01
00
11
01
01
00
10
11
00
00
00
01
11
00
10
11
10
00
01
01
01
00
10
10
00
00
00
10
10
00
11
01
00
10
01
00
10
11
00
10
10
01
10
10
00
01
01
11
10
01
10
10
10
10
11
00
01
11
00
00
10
01
10
00
00
10
00
00
00
11
01
10
10
01
00
00
00
00
10
10
01
00
00
10
11
01
01
00
11
10
00
00
11
10
00
00
10
01
00
00
10
11
01
00
10
00
10
00
00
10
01
00
10
10
01
01
00
10
11
10
10
10
01
00
11
11
00
00
00
10
10
00
01
11
10
00
00
10
00
01
11
11
01
00
00
11
10
00
00
10
11
10
10
00
00
00
11
11
11
10
10
11
00
00
01
10
01
10
11
10
11
00
10
11
00
00
00
00
10
00
11
10
00
01
10
01
10
00
00
00
00
10
00
00
01
00
10
00
01
10
01
10
10
01
00
10
00
00
10
00
01
10
10
00
10
10
00
00
00
10
11
10
00
00
01
00
00
00
10
00
00
10
11
00
10
00
10
10
10
10
01
01
00
00
10
10
10
00
01
00
01
10
00
00
11
11
01
00
10
11
00
00
00
00
10
10
00
10
10
10
01
00
10
11
00
01
00
00
10
10
10
01
00
10
10
10
10
11
01
00
10
10
10
10
11
01
01
00
11
11
11
01
00
10
10
00
01
00
10
10
00
11
11
10
00
00
01
10
01
01
01
00
11
10
01
00
10
11
00
11
11
01
00
11
10
00
00
01
11
10
00
10
01
10
00
00
00
11
11
10
00
11
11
10
10
00
01
10
11
10
01
10
11
10
11
00
00
11
01
00
10
00
10
00
00
01
10
10
01
11
01
01
00
10
01
01
01
10
01
00
00
11
00
00
10
11
01
01
00
10
00
00
01
10
11
10
00
10
10
00
00
11
10
11
00
00
10
11
00
11
00
10
10
11
10
01
10
10
00
10
10
11
10
00
00
10
11
00
00
00
00
11
11
10
10
10
00
00
11
01
01
11
10
01
00
10
01
00
11
10
11
00
00
00
00
00
10
00
01
01
11
00
00
00
00
00
10
10
01
10
10
10
00
00
01
10
10
00
01
10
00
00
00
01
01
00
00
11
11
01
00
01
01
10
10
10
00
01
11
11
00
10
10
11
00
10
00
00
10
10
11
11
10
00
00
01
00
00
11
10
00
01
10
10
00
00
00
00
10
11
11
11
10
11
11
01
01
10
01
00
11
01
01
11
10
10
00
10
10
00
00
10
00
11
00
11
10
01
00
10
10
00
00
01
10
10
11
00
01
00
11
00
11
11
01
00
11
10
00
01
10
11
00
10
10
10
01
10
00
01
01
00
11
10
00
00
01
00
00
00
11
10
01
10
10
00
10
10
11
00
00
00
10
00
11
00
11
11
00
10
00
00
10
01
00
10
11
11
01
00
10
10
11
00
10
01
00
10
11
10
11
00
10
10
00
00
10
00
00
10
00
01
11
10
01
11
11
11
01
11
10
11
01
01
10
10
00
00
00
00
00
10
10
10
10
11
00
10
10
10
10
00
01
00
10
11
01
01
00
10
01
00
00
00
10
10
00
11
00
10
11
11
00
01
00
10
00
10
00
00
11
10
00
00
01
10
00
00
00
01
10
00
10
00
10
10
10
00
00
10
10
00
10
10
10
10
10
00
10
11
10
10
00
11
00
00
10
10
10
00
10
10
10
01
10
00
00
01
00
11
00
01
10
01
10
01
10
11
10
00
00
10
10
10
11
01
10
00
01
11
01
10
10
00
01
11
00
00
10
10
00
00
10
00
10
10
00
01
10
11
00
10
10
00
00
10
10
00
10
10
01
10
10
00
11
01
01
10
00
10
10
01
00
00
10
11
10
00
00
11
10
11
10
01
11
01
00
10
11
01
10
00
01
01
00
01
11
11
00
00
00
10
11
00
11
10
10
00
10
10
11
01
00
11
00
00
00
10
11
10
01
01
00
11
00
10
10
00
00
10
11
01
00
10
11
10
10
11
01
00
10
10
00
01
10
00
00
11
00
00
00
11
01
00
11
10
00
00
00
00
10
10
00
00
11
11
01
11
11
10
00
11
00
11
10
00
00
10
10
01
00
10
01
10
01
00
11
01
00
00
10
10
00
00
00
11
00
00
00
00
10
10
00
10
00
00
10
01
11
00
01
10
10
00
00
11
10
00
00
00
10
10
00
00
10
10
10
10
01
11
01
01
00
11
00
01
00
10
10
10
11
00
10
01
00
00
01
10
00
00
10
01
01
10
11
11
01
10
10
00
10
10
00
00
10
00
00
00
11
10
00
01
01
11
10
11
00
00
10
00
10
11
10
00
00
10
00
01
10
11
10
01
11
01
01
01
11
10
10
10
00
01
10
11
00
01
00
10
10
01
01
11
00
00
00
11
01
10
10
01
01
00
11
11
01
11
10
00
11
00
00
10
11
01
00
10
00
00
10
01
00
01
10
00
10
00
00
00
00
10
11
00
00
00
10
10
10
00
10
10
11
10
01
00
01
10
10
00
11
10
00
10
00
00
00
10
01
11
11
10
11
00
11
10
01
01
10
11
00
00
11
01
00
11
01
00
00
11
01
00
00
11
10
01
10
10
00
01
10
00
11
11
00
01
00
11
10
00
10
10
00
00
00
10
10
00
01
00
10
10
10
11
10
00
00
01
01
00
00
01
10
11
10
11
01
00
01
10
10
10
10
00
00
10
10
00
00
00
10
01
00
00
10
00
01
10
00
10
01
10
11
10
10
00
10
11
00
00
10
10
10
11
01
11
00
11
10
11
00
00
00
10
00
01
11
10
01
00
11
00
01
10
10
10
00
00
00
01
00
00
10
00
01
00
10
10
11
01
10
00
00
10
01
00
00
11
00
10
00
01
01
10
10
00
11
00
01
10
01
11
00
11
00
00
10
10
11
01
01
11
00
00
01
00
10
11
10
00
01
00
01
00
00
01
10
10
11
01
10
00
00
10
00
00
11
01
00
01
00
11
10
00
10
10
11
00
00
10
01
11
00
10
01
00
11
00
10
10
01
10
10
11
10
10
10
10
00
10
10
00
10
00
10
00
00
10
00
11
10
11
01
01
01
00
01
11
11
10
00
00
10
00
10
01
10
01
00
00
11
11
11
00
10
00
00
10
10
10
00
11
11
00
10
10
00
00
00
00
10
10
10
10
01
10
10
00
00
11
10
00
00
11
10
00
10
11
11
00
00
01
00
00
00
00
11
00
11
10
10
11
10
01
01
10
11
00
10
00
01
10
11
10
01
00
10
00
11
10
00
00
11
10
01
11
00
10
10
00
11
10
00
11
11
01
11
10
01
00
10
11
00
10
11
00
01
10
10
01
11
01
01
11
01
00
10
10
10
00
11
10
00
10
00
11
00
01
10
10
10
11
10
00
00
00
00
11
10
11
11
00
10
01
10
10
10
01
10
00
10
10
00
11
00
00
00
00
10
10
01
00
00
10
10
10
11
01
10
11
00
00
00
10
00
11
10
00
10
00
11
10
00
00
10
11
00
10
10
11
00
10
00
00
00
11
00
00
10
00
11
01
00
11
00
10
11
10
10
01
01
10
11
00
00
01
10
11
00
10
00
11
10
00
10
10
11
11
11
10
01
10
11
01
00
00
10
10
01
00
10
00
10
10
01
01
10
10
10
10
00
00
00
11
01
01
01
00
10
00
11
11
00
00
10
10
10
11
00
00
10
11
10
10
00
11
10
10
10
10
01
01
10
01
01
00
10
00
00
11
00
01
11
00
00
10
00
11
11
00
00
11
10
11
00
10
10
00
00
00
10
10
00
00
10
00
11
10
01
00
11
10
11
01
11
00
01
00
00
00
01
10
10
01
01
10
10
00
10
11
00
00
11
10
00
10
10
00
11
10
00
01
10
01
10
11
11
01
00
00
01
11
10
01
00
01
10
11
00
00
11
00
11
10
00
00
10
11
00
10
11
00
01
11
10
11
00
00
01
10
11
01
00
10
00
10
00
10
00
00
00
10
00
10
10
10
11
10
01
10
00
00
10
00
10
01
00
10
10
01
01
10
11
01
00
00
10
01
10
10
00
11
11
11
00
00
01
10
10
00
10
11
00
11
10
11
00
00
11
10
00
01
10
10
10
11
10
01
00
00
00
01
11
11
11
10
00
00
10
11
10
10
01
11
10
00
11
10
01
10
10
10
11
00
00
01
01
00
01
10
10
01
10
10
00
00
10
10
10
00
11
00
10
10
00
00
11
10
00
10
10
01
11
10
11
10
00
00
11
11
10
01
01
10
00
00
10
11
10
01
10
11
00
00
10
00
01
10
00
01
10
10
00
10
11
10
00
01
00
01
00
00
00
00
11
01
01
10
10
11
01
10
10
00
10
00
00
00
00
00
10
01
10
11
10
10
11
00
00
10
11
01
01
00
11
01
01
10
10
10
01
10
10
00
00
00
10
01
11
10
10
10
10
10
10
10
00
01
00
00
10
00
00
10
00
00
10
10
00
00
10
10
01
00
01
10
11
00
00
01
10
00
01
00
01
10
10
00
10
10
01
00
11
10
00
00
11
10
01
10
11
01
00
00
10
01
00
01
10
00
10
00
00
00
10
10
00
01
10
00
00
00
10
00
00
00
10
01
01
11
11
11
00
11
10
10
01
00
10
11
10
01
11
01
10
10
10
00
10
11
00
11
10
00
00
00
11
00
10
11
00
01
01
10
10
00
10
00
11
10
01
00
00
10
10
01
01
10
10
00
11
11
10
11
01
00
11
10
00
11
10
00
01
01
11
10
11
10
10
00
00
00
10
00
00
10
10
00
11
10
00
01
10
01
10
01
01
10
11
01
01
10
00
00
00
10
11
00
00
10
10
11
00
00
00
10
00
11
10
00
11
00
00
01
10
11
10
00
00
01
10
10
10
00
10
10
00
10
11
10
00
00
01
10
10
11
10
11
00
01
00
10
10
01
11
11
00
01
01
11
10
11
10
01
11
11
11
00
00
11
10
00
00
10
10
00
10
00
01
10
01
00
11
00
01
10
10
10
01
11
11
01
01
10
10
01
10
00
01
11
11
01
01
01
10
00
01
11
10
00
01
10
00
00
11
10
01
00
01
11
11
10
10
00
11
10
01
01
10
10
11
10
11
00
00
10
10
10
10
00
00
00
10
10
01
10
00
11
10
00
10
10
00
01
10
10
01
01
10
10
01
01
00
00
10
00
00
00
10
10
10
11
00
11
10
00
10
00
00
10
01
00
00
11
00
11
10
01
11
00
00
10
00
00
00
00
10
10
10
10
00
00
01
10
10
00
00
11
01
11
11
00
11
11
01
01
00
10
11
01
01
00
11
00
10
11
01
10
10
10
01
10
00
00
10
10
00
10
11
00
00
10
11
10
01
10
11
10
01
00
01
00
00
10
10
00
00
10
01
00
11
10
11
01
00
00
10
11
11
11
00
00
10
10
11
00
10
11
00
01
10
11
10
01
01
01
00
10
01
01
11
11
10
00
10
11
00
00
10
11
11
11
00
01
01
11
00
00
00
10
10
00
01
10
10
10
00
11
11
00
11
10
11
10
00
11
10
00
00
00
11
01
00
01
01
10
10
10
11
00
01
11
01
10
10
10
10
10
11
00
00
11
10
00
11
11
10
10
00
00
01
10
11
10
01
10
00
00
10
01
00
10
00
11
00
10
10
00
00
10
10
11
10
01
01
00
11
01
10
10
01
00
01
01
10
10
10
10
01
01
10
00
01
01
11
10
00
00
01
10
11
10
10
00
00
10
10
00
01
10
00
01
11
00
10
10
01
10
10
00
00
10
11
11
00
00
00
00
00
11
10
00
00
11
11
01
11
10
01
00
10
00
00
11
10
01
01
00
00
11
00
00
01
10
11
00
00
10
10
00
01
01
11
11
00
00
01
10
10
10
00
01
01
10
01
11
11
00
11
10
01
00
10
10
00
10
00
00
10
00
11
00
01
11
10
10
01
10
00
00
10
10
01
11
10
00
10
00
11
11
00
00
10
10
11
10
01
00
00
01
00
10
01
00
10
01
01
11
10
01
00
10
10
00
00
10
10
10
00
00
01
10
00
00
10
10
00
00
11
00
11
11
11
00
10
10
10
10
00
11
10
01
11
01
01
00
10
00
00
10
01
00
00
01
10
10
01
00
11
00
01
10
11
01
11
10
01
00
10
00
00
10
11
00
11
10
00
00
00
00
10
10
00
01
10
10
00
10
11
00
11
10
11
11
10
00
00
00
10
11
00
00
00
01
10
01
10
11
10
10
00
00
10
10
10
00
01
01
11
00
01
11
10
10
11
00
00
01
10
00
10
10
10
01
01
10
00
10
10
00
00
11
00
11
10
01
01
10
10
10
00
01
11
00
00
01
00
01
10
10
00
00
10
01
11
00
01
00
11
10
00
10
11
11
00
00
10
10
00
11
10
00
11
10
00
00
01
11
00
01
10
11
00
00
00
11
10
11
10
00
10
11
01
01
00
10
10
00
10
10
10
10
00
00
00
10
10
01
00
11
11
10
00
00
11
00
00
10
00
00
00
00
01
10
10
00
00
00
10
10
10
00
00
00
11
11
00
01
00
11
00
10
10
00
11
10
10
01
11
11
10
00
01
00
01
10
10
00
11
11
00
10
10
01
00
01
10
01
00
00
01
10
01
10
11
00
10
00
10
10
00
10
10
11
00
11
11
00
00
11
00
00
10
10
10
00
01
00
10
00
11
10
10
00
00
10
10
00
01
10
00
10
10
00
10
10
10
10
10
00
00
10
11
10
11
00
00
00
00
10
10
00
00
00
10
10
10
10
10
00
11
01
01
00
00
11
10
11
10
10
00
01
10
00
10
00
00
00
10
11
11
01
00
00
11
10
10
01
11
00
10
10
01
00
11
01
11
00
01
10
11
10
01
11
00
10
00
00
01
00
10
11
01
01
10
01
01
00
01
00
00
00
11
11
10
00
00
00
10
11
10
10
10
00
01
00
11
10
01
00
01
11
01
00
10
00
01
10
10
10
01
00
11
10
01
00
10
00
01
01
10
11
00
10
00
00
10
01
00
11
01
00
10
10
00
01
10
11
10
01
10
00
10
10
00
01
01
10
00
10
11
00
00
00
10
10
00
00
00
10
00
01
00
11
10
10
10
10
10
00
01
11
00
00
00
10
11
00
10
10
00
00
00
01
10
00
10
10
00
10
00
01
10
10
01
10
10
11
01
00
11
10
00
00
10
11
00
01
10
11
10
00
10
10
10
10
10
00
00
11
00
10
10
10
10
01
10
10
00
00
00
00
10
10
11
00
11
11
01
10
11
00
00
11
10
00
01
11
01
00
11
10
01
10
10
10
00
01
01
10
10
00
10
01
11
10
00
01
11
00
01
01
11
10
00
10
00
00
10
10
01
01
10
10
10
11
00
10
00
10
00
11
11
10
11
00
11
10
00
01
00
10
01
10
10
10
00
00
11
01
11
00
01
11
00
11
00
00
00
10
11
10
00
00
00
10
11
10
01
00
11
10
11
10
01
00
10
00
01
00
11
00
10
00
10
11
10
10
00
10
10
11
10
00
00
00
00
10
11
00
00
00
11
11
00
10
01
10
10
11
00
10
01
10
10
10
01
00
00
11
10
11
00
10
00
10
10
00
10
10
01
01
10
00
00
00
11
10
11
01
10
10
10
00
10
00
00
11
10
01
10
11
01
00
00
00
01
10
01
00
10
00
00
01
00
10
10
01
11
11
10
01
11
10
10
10
00
00
01
11
00
00
00
10
10
11
10
01
10
11
00
11
00
00
01
10
01
00
00
10
00
10
10
00
11
11
10
01
11
01
11
10
10
10
10
01
00
10
10
00
10
10
11
01
00
10
10
00
00
10
11
11
01
00
00
10
10
10
00
00
10
11
00
01
00
00
11
10
01
10
10
10
10
10
11
01
01
00
10
00
01
01
01
10
10
01
11
00
11
10
00
00
10
11
01
00
10
10
11
00
10
10
00
00
11
00
01
00
10
00
00
01
01
00
10
10
10
00
01
01
10
11
00
10
00
00
00
10
11
01
00
10
00
00
10
10
00
10
11
01
10
10
10
00
01
11
11
01
11
11
00
11
10
01
00
10
11
00
11
11
00
01
01
00
01
10
10
11
10
00
11
11
00
10
10
01
00
01
11
10
10
01
00
11
10
00
00
00
11
10
10
00
00
10
10
10
00
10
01
00
11
10
00
00
11
00
00
10
10
01
10
11
00
10
10
11
10
01
10
10
00
10
00
00
10
10
00
00
10
10
00
11
00
10
00
01
10
01
00
00
10
10
00
00
10
10
10
00
00
00
10
10
01
10
00
11
00
10
00
01
01
01
10
00
00
00
00
11
01
00
10
10
11
11
10
10
10
10
01
00
11
01
10
10
01
00
01
01
10
00
10
10
11
01
10
11
10
00
10
00
00
01
01
10
10
10
10
11
10
00
01
00
01
10
11
00
01
10
00
00
10
11
01
01
10
01
10
10
01
00
10
00
00
11
01
00
10
11
00
00
11
00
00
10
10
10
00
00
10
00
11
00
00
00
11
11
00
00
11
00
11
10
01
00
10
10
00
10
00
00
10
01
10
00
01
10
00
10
10
10
10
10
01
00
11
00
10
00
10
10
00
00
10
11
01
01
00
01
10
00
00
11
10
00
10
01
10
00
01
10
10
00
00
10
01
01
10
11
11
00
00
01
11
10
11
00
01
10
00
10
00
00
10
11
00
00
10
00
00
00
01
11
10
01
01
11
01
10
00
00
00
11
10
00
01
01
11
00
00
11
10
00
10
10
01
10
00
10
10
00
10
01
00
00
11
10
01
11
11
11
00
00
00
00
01
11
11
00
10
00
10
10
00
10
11
00
11
00
10
00
10
01
00
11
01
10
10
00
11
00
11
10
10
01
00
01
10
01
00
00
00
00
10
10
10
00
00
10
10
10
01
10
11
01
00
10
10
01
00
01
00
11
01
01
10
01
00
11
11
00
10
10
00
00
01
10
00
00
01
00
01
00
10
10
00
10
00
00
00
10
10
00
00
10
00
11
11
10
10
00
01
11
10
01
11
10
00
00
10
01
00
10
00
11
10
01
11
10
00
00
10
11
10
01
10
00
00
10
01
00
11
10
01
10
10
10
00
11
11
11
10
00
11
11
00
01
10
11
01
10
00
01
01
01
00
00
11
11
00
00
00
01
10
10
10
10
10
10
01
10
11
00
00
10
00
00
10
11
00
00
10
10
01
10
10
00
01
10
01
00
10
00
00
00
10
11
11
00
00
11
10
11
00
10
10
11
00
01
00
10
01
01
00
00
00
10
11
00
00
00
00
00
10
10
11
10
00
11
00
00
11
11
11
00
00
00
00
00
11
10
00
10
10
01
10
10
00
10
11
10
10
10
01
10
00
10
00
01
10
11
10
00
01
00
01
10
10
00
01
11
11
01
00
11
10
11
01
01
01
11
00
00
10
10
00
01
10
10
00
00
10
11
10
00
01
11
01
00
01
10
10
01
00
00
10
11
00
00
10
11
10
01
11
11
00
10
00
11
10
01
00
00
00
10
10
10
00
00
00
00
00
10
10
01
10
11
10
10
01
00
11
01
11
11
01
10
11
11
00
10
11
00
00
00
01
00
01
10
01
10
10
00
10
00
00
10
00
10
10
01
10
00
10
10
10
00
01
00
01
10
11
00
00
00
10
10
00
10
00
00
10
01
00
10
10
00
11
11
10
01
11
10
00
00
10
01
00
11
00
10
01
00
00
00
00
11
10
01
01
10
11
11
10
01
01
10
10
00
01
10
10
00
10
00
11
10
00
11
11
10
00
10
10
00
10
10
10
10
00
10
00
01
10
01
01
10
11
00
01
00
11
10
11
11
00
01
10
11
00
10
10
01
01
10
11
10
10
00
10
11
00
01
11
10
00
10
10
10
10
00
10
00
00
10
00
10
10
00
00
00
00
01
11
01
00
11
00
10
10
11
00
10
10
00
00
00
11
00
00
00
00
00
10
00
11
00
00
10
00
10
00
10
00
10
00
01
01
00
00
00
00
10
11
00
00
11
11
11
00
01
00
10
00
00
00
10
11
01
11
10
00
00
10
00
11
00
01
10
00
00
11
10
10
01
10
10
11
01
00
00
11
01
00
11
00
00
11
01
11
00
11
11
11
00
00
11
10
11
01
11
00
11
10
10
11
00
11
10
01
00
00
10
11
10
11
10
00
01
00
10
10
10
00
00
10
00
10
00
00
00
00
01
10
10
01
10
01
00
00
01
10
01
10
00
00
00
11
10
00
00
00
11
10
01
00
00
10
01
00
11
10
00
10
11
11
10
11
10
01
11
01
01
00
10
00
10
10
00
01
10
11
11
11
00
00
00
01
00
00
10
10
00
00
10
00
10
11
00
10
10
10
10
10
10
00
01
10
00
10
01
00
00
00
10
00
00
11
10
10
10
11
11
00
11
00
00
10
11
00
00
10
10
10
00
10
00
10
11
00
00
10
10
00
00
01
10
01
01
10
10
11
00
01
01
10
10
10
00
00
00
10
11
00
11
00
01
00
01
00
11
00
00
10
00
10
10
00
01
10
00
01
11
00
11
01
10
00
01
01
10
10
00
10
00
00
11
00
00
00
10
00
11
10
00
10
10
10
11
00
01
10
10
00
00
01
11
11
01
00
10
00
01
00
10
10
01
00
00
10
10
11
11
10
00
11
11
10
11
01
00
10
10
10
10
11
00
01
00
11
00
10
10
10
00
00
01
11
10
00
01
10
10
00
11
01
01
10
10
00
11
00
00
10
10
01
11
11
01
01
10
00
10
11
01
00
10
00
00
11
10
00
10
10
00
11
01
11
11
10
11
10
01
01
00
11
10
11
10
10
01
00
01
10
10
10
10
11
00
00
10
11
01
11
00
00
00
10
11
00
10
11
00
10
01
10
11
00
00
00
00
11
01
10
00
00
00
00
01
11
11
10
01
00
00
10
10
00
01
01
10
00
01
01
01
10
10
01
10
00
10
10
01
00
00
10
10
00
00
00
10
00
00
10
11
00
00
10
10
00
10
11
10
10
01
00
01
10
01
10
01
00
00
00
10
01
00
11
11
11
10
00
00
10
10
01
00
11
10
01
10
00
10
00
11
01
00
11
00
10
00
00
10
10
10
01
00
11
10
00
10
00
00
11
01
10
11
00
11
11
01
11
01
00
10
11
10
00
10
10
00
00
00
01
10
10
10
00
00
11
00
10
10
01
00
10
10
01
00
00
11
10
10
00
10
10
00
00
01
00
11
10
00
01
11
00
00
00
10
10
01
10
10
00
10
00
10
10
01
11
00
11
10
00
10
11
00
10
00
01
10
01
11
00
00
10
00
10
10
00
11
10
00
11
10
00
01
00
10
10
00
01
01
00
01
10
01
11
01
10
00
11
10
00
01
00
10
00
11
00
10
11
10
00
10
10
00
00
10
10
01
10
01
00
00
00
01
00
10
11
01
11
10
10
10
10
01
01
11
10
10
00
00
10
11
01
10
00
10
10
00
01
01
11
10
00
11
01
10
01
01
11
11
00
10
01
00
00
10
10
00
00
01
00
11
01
11
00
10
11
01
10
01
00
10
11
01
10
10
00
01
01
00
10
11
11
10
00
00
00
10
01
10
00
01
00
01
11
00
00
10
01
10
11
00
10
00
01
11
11
11
01
11
10
10
11
00
01
10
01
00
10
00
00
10
10
10
00
10
10
00
11
11
10
01
00
01
10
00
00
10
01
00
11
10
00
10
11
01
00
11
11
00
11
11
11
01
10
10
00
11
10
11
00
00
10
00
10
00
11
10
00
00
10
10
11
11
01
00
01
11
10
10
01
01
10
10
10
10
00
11
10
00
00
11
00
11
10
01
01
00
00
11
01
01
00
00
00
01
01
11
00
00
01
00
11
01
00
10
10
10
10
10
11
10
01
00
11
00
11
10
00
10
01
00
11
01
00
10
10
10
10
10
01
01
01
00
11
00
00
01
00
11
11
01
00
00
11
00
10
11
11
10
00
11
10
11
01
01
00
11
00
01
00
10
10
00
10
10
00
10
11
11
00
01
11
10
01
01
00
00
10
11
11
01
00
10
00
10
00
00
00
10
10
01
00
10
10
11
11
10
00
00
10
10
11
00
00
11
11
11
01
10
10
10
01
10
00
00
10
11
10
00
11
10
01
10
00
11
00
00
10
01
00
10
01
10
11
10
10
00
11
11
00
10
10
11
00
00
11
00
10
00
10
00
10
11
10
00
10
00
00
01
00
00
00
10
11
00
00
10
10
00
00
11
10
00
10
01
01
11
11
01
01
11
11
00
10
01
00
11
10
01
01
11
11
01
01
10
10
11
11
00
00
01
10
10
01
01
01
01
10
10
01
00
00
00
10
01
11
01
00
01
10
10
01
10
10
00
01
11
11
01
01
00
01
00
00
11
10
10
00
00
10
00
10
10
11
01
10
10
10
10
11
01
00
10
10
11
11
00
01
10
00
10
00
01
01
00
11
00
01
01
11
01
00
00
10
11
00
11
10
00
10
10
10
01
10
11
00
01
11
00
10
11
01
01
11
10
01
00
01
10
10
10
00
00
10
00
00
10
00
10
11
00
00
00
10
00
10
00
01
10
11
01
10
11
10
10
01
00
10
00
11
11
10
01
10
01
00
00
00
10
10
00
10
10
10
00
01
00
00
10
00
10
10
10
10
01
00
01
00
10
10
10
00
11
00
00
00
01
10
00
00
00
10
00
00
10
00
10
10
11
11
00
01
00
00
11
11
10
10
10
00
10
00
00
10
01
10
10
10
11
10
00
11
10
10
00
01
10
11
11
01
00
00
01
00
01
11
10
01
10
00
01
00
10
10
10
11
11
00
01
00
00
11
00
00
10
10
01
10
00
00
10
10
00
10
11
00
00
00
10
00
11
10
00
00
00
00
00
00
11
00
10
01
01
10
10
10
01
01
10
01
00
11
00
00
00
10
01
00
01
11
10
10
01
00
10
10
00
00
10
10
00
11
00
11
10
10
10
00
00
10
01
00
01
00
01
10
10
01
10
01
10
00
00
11
01
11
01
10
10
00
11
10
10
01
00
00
00
00
00
00
11
10
10
11
10
00
00
11
00
01
00
00
11
10
11
01
10
11
00
10
00
00
10
10
01
00
10
10
10
10
00
11
10
11
00
11
01
10
01
10
11
10
10
01
11
10
00
00
10
00
00
11
00
10
00
11
11
00
01
10
00
00
11
10
10
00
00
00
00
01
01
11
10
10
00
01
10
10
10
01
11
00
01
10
00
01
10
01
00
11
10
00
00
10
10
00
01
00
10
11
11
10
11
00
10
01
00
11
11
00
00
11
10
10
10
00
00
00
11
00
10
00
00
10
10
10
01
01
01
11
10
00
00
10
10
10
11
11
10
10
10
01
00
00
01
10
00
11
00
11
10
00
10
10
10
10
00
01
00
10
10
01
01
10
00
00
10
10
00
01
11
10
00
10
10
10
11
11
01
11
10
10
01
10
11
00
01
01
01
11
11
11
00
10
11
11
10
01
00
00
11
00
10
10
11
00
10
10
00
10
00
11
11
00
10
00
01
01
00
10
00
00
00
10
10
11
10
00
11
10
10
10
11
00
10
10
10
00
01
01
01
10
00
10
01
00
01
00
11
10
00
01
01
11
11
00
00
10
01
10
10
00
01
10
01
00
10
11
10
11
11
00
00
01
11
10
00
01
10
10
11
11
01
00
11
00
01
10
11
00
00
00
01
00
10
10
01
10
01
00
10
11
10
00
00
01
10
00
00
10
01
11
00
11
01
11
11
01
00
11
10
00
10
11
01
00
10
10
10
00
00
10
01
00
11
10
01
10
00
00
10
00
00
00
11
00
00
11
10
00
10
01
01
00
10
00
00
11
01
10
00
00
11
10
10
00
11
00
01
10
10
01
01
00
00
10
10
10
01
00
10
10
10
00
10
00
01
00
10
10
10
00
01
00
00
10
11
00
01
10
10
00
00
11
10
00
00
01
11
10
11
00
00
00
10
10
00
11
11
10
01
10
01
01
10
01
00
10
10
11
10
10
11
00
01
00
01
11
10
10
00
11
01
00
10
01
00
10
01
10
01
10
10
11
10
00
11
00
00
10
00
00
11
00
00
00
10
10
11
10
00
11
11
11
10
10
01
00
00
11
10
00
00
10
10
10
10
11
00
10
11
10
00
00
11
00
00
10
10
10
10
10
01
01
10
10
10
10
00
01
00
10
10
10
10
00
00
10
00
00
10
10
10
00
11
10
01
10
00
10
00
01
10
00
01
00
01
10
00
10
10
10
00
10
10
00
10
00
00
01
00
00
00
01
11
10
00
00
10
10
00
10
10
00
00
00
11
10
10
00
11
01
10
01
01
10
11
11
00
10
01
01
10
10
01
00
10
00
00
10
01
01
10
00
00
10
01
00
00
01
01
10
10
10
11
11
10
01
01
10
00
10
10
00
00
10
10
10
10
00
10
00
00
11
00
11
10
10
10
00
11
00
01
10
00
11
10
10
00
10
01
01
00
11
10
01
10
01
01
00
01
01
10
11
10
00
01
10
10
10
10
00
11
00
01
11
00
10
00
10
11
10
10
00
00
00
00
10
00
11
10
00
01
00
00
00
10
10
11
00
00
01
10
10
10
10
01
00
10
10
00
01
10
01
00
01
10
00
10
11
01
00
00
10
00
10
10
00
10
00
10
10
10
00
00
11
11
01
11
01
00
00
00
10
10
01
10
10
10
00
00
10
00
00
10
11
01
00
01
11
00
10
00
11
10
10
00
00
11
10
00
11
10
11
00
10
01
00
00
10
10
01
00
11
10
10
11
00
01
11
10
00
00
10
10
00
01
10
11
11
00
10
00
10
00
00
10
00
11
00
01
10
10
00
00
10
11
00
01
00
00
00
00
10
01
00
10
10
10
00
01
10
00
10
01
01
10
10
00
10
10
10
00
01
10
11
00
10
01
10
00
01
11
11
00
00
00
00
10
10
10
01
00
00
01
00
10
10
10
11
00
11
10
11
00
00
00
00
10
10
00
11
10
00
01
00
00
10
11
00
10
01
00
10
10
11
10
01
00
10
01
01
01
00
00
10
01
00
00
10
10
00
00
00
11
00
10
10
10
00
01
00
01
11
00
01
00
10
00
00
10
11
01
01
10
10
10
10
00
00
10
10
00
10
10
10
01
00
10
01
10
11
10
01
00
00
00
01
10
10
10
10
00
00
11
10
01
10
00
11
00
10
01
00
10
01
10
10
11
10
11
10
01
11
10
01
00
11
00
11
00
10
01
01
10
10
00
00
00
00
10
10
11
00
11
00
11
00
11
10
01
00
11
11
00
00
10
10
01
00
10
10
10
10
10
10
00
00
10
10
10
11
00
00
01
00
01
10
00
00
01
01
11
11
00
00
00
10
00
01
11
00
10
11
10
01
00
10
10
00
10
11
00
00
11
10
10
01
10
01
10
00
00
00
11
11
00
10
00
11
11
00
10
10
11
11
00
00
11
00
00
11
00
00
11
10
11
10
11
01
10
10
00
01
10
01
00
00
11
11
10
10
10
01
10
11
01
00
01
10
10
01
00
10
01
10
11
10
10
00
10
10
00
10
10
10
11
00
10
00
11
01
00
11
00
01
00
01
10
00
10
11
00
10
01
01
00
00
10
10
10
10
01
01
00
11
10
10
10
00
10
10
01
00
10
00
00
11
01
11
10
00
00
10
00
00
10
00
00
00
01
01
10
01
10
01
01
10
10
01
11
11
00
01
00
10
10
10
10
00
10
00
00
10
10
11
01
00
11
10
11
00
10
10
10
00
10
01
11
11
10
00
01
11
00
00
00
11
10
11
00
01
00
11
10
00
00
10
10
01
10
11
10
10
01
00
10
10
10
00
11
10
00
00
10
01
10
10
11
00
11
01
01
11
10
01
10
10
10
10
00
00
00
00
01
11
10
10
01
11
01
00
11
10
10
11
00
11
00
10
11
10
01
01
00
10
00
10
00
00
11
00
10
10
11
11
00
11
11
01
00
00
10
01
00
00
10
10
10
00
00
00
11
10
00
00
11
00
00
01
10
11
00
00
00
11
11
01
00
01
01
10
11
10
01
10
01
00
10
10
10
00
00
00
10
10
00
01
00
11
10
10
00
01
00
10
10
00
11
10
10
00
00
01
10
01
10
00
10
00
01
11
00
01
11
11
00
00
01
11
01
10
11
00
01
01
10
00
01
00
10
10
01
11
00
11
11
11
00
00
01
10
00
01
01
10
11
00
10
11
11
01
00
00
11
10
10
10
00
00
10
10
00
00
00
00
11
10
10
10
11
00
10
10
00
11
11
00
10
01
10
10
01
11
01
00
00
11
10
01
11
00
00
11
01
00
00
10
10
10
01
00
11
10
10
10
10
01
00
10
10
00
00
10
00
00
10
10
00
11
10
01
11
11
00
10
11
00
10
00
00
10
10
00
10
10
01
10
01
10
00
01
11
01
01
10
10
10
11
01
01
10
10
01
01
10
00
00
10
10
01
10
10
10
01
11
10
11
00
01
11
10
10
10
10
11
00
00
01
10
11
10
11
01
11
10
01
00
11
10
01
11
10
01
00
00
10
00
00
10
01
00
00
10
10
00
11
00
10
01
00
11
00
10
10
01
11
10
00
00
00
01
01
10
00
00
00
10
11
10
11
00
00
11
00
10
00
00
11
10
00
00
00
10
11
10
10
10
00
00
10
10
10
01
01
00
10
10
00
01
11
00
01
10
10
11
10
10
00
10
11
00
11
10
01
00
00
10
10
01
00
00
01
01
10
10
00
01
10
01
01
10
10
10
00
00
00
10
10
11
00
00
01
01
00
10
00
10
10
00
00
01
10
10
10
00
01
00
10
10
00
00
00
10
00
11
10
11
10
11
10
11
10
01
11
11
00
01
10
10
11
00
01
10
11
11
10
10
01
01
11
00
01
01
01
10
11
11
00
00
00
10
00
10
00
00
10
10
10
10
00
11
00
11
10
11
10
11
00
00
00
10
00
10
11
00
00
11
11
01
10
01
11
10
11
00
01
11
10
01
01
10
10
00
11
10
00
01
00
11
10
00
01
10
10
00
00
11
11
00
11
00
10
01
10
00
00
11
11
10
00
10
11
01
01
00
00
10
01
10
10
10
00
10
10
00
10
11
11
10
01
00
00
10
00
00
00
10
00
00
10
10
10
01
00
10
10
10
01
01
10
11
10
10
10
11
11
00
10
11
00
10
00
10
01
00
10
01
10
10
01
01
10
10
00
01
00
00
01
10
10
11
01
10
10
10
01
11
11
11
10
00
00
00
00
10
11
00
01
10
10
10
00
00
00
11
10
00
10
11
01
10
00
00
10
10
00
00
00
00
01
10
10
00
11
10
01
00
10
10
11
10
00
00
10
01
00
10
00
11
10
10
00
11
10
10
00
10
10
00
01
00
01
00
00
00
10
10
00
00
10
10
01
00
00
10
10
10
00
11
01
01
10
10
00
00
10
10
00
00
10
10
10
00
11
11
01
00
11
01
10
10
00
00
01
10
10
10
10
01
10
00
00
00
01
00
10
11
10
10
01
00
01
10
10
10
10
00
00
10
11
01
00
00
10
10
00
01
10
10
00
00
10
00
11
10
01
10
10
01
01
00
11
01
01
11
01
10
00
11
10
00
01
11
10
01
00
00
01
01
00
11
11
00
10
10
10
01
01
00
11
10
10
00
10
01
10
00
01
00
00
01
00
10
00
00
11
00
10
11
00
00
00
00
10
00
10
01
10
10
00
10
00
11
11
10
00
00
10
00
00
10
00
01
00
11
11
11
11
00
00
10
11
10
00
00
10
11
00
10
00
11
10
11
11
10
00
10
01
10
11
00
01
00
00
01
00
11
10
00
11
00
01
10
11
00
00
10
10
10
10
00
00
00
10
00
01
00
10
11
00
10
00
10
00
10
00
11
00
11
10
00
11
10
00
01
10
10
10
10
00
01
10
10
11
11
11
10
01
11
11
00
11
01
11
01
00
01
10
10
01
11
00
11
00
00
01
00
10
00
01
11
11
10
00
00
10
10
01
01
10
01
10
00
01
11
11
01
00
10
11
10
00
00
00
10
10
11
10
01
10
00
01
00
11
11
11
00
10
00
01
10
10
10
00
11
10
01
10
10
00
00
00
01
10
11
10
00
00
00
10
10
10
01
10
00
10
01
00
10
11
00
01
01
11
10
10
10
00
00
10
00
00
10
10
10
01
00
11
00
01
11
00
10
10
00
00
11
01
01
10
00
00
01
11
00
10
10
00
00
00
10
10
01
01
01
10
10
00
01
10
00
01
10
00
10
01
10
00
01
10
10
00
10
11
00
01
10
11
01
01
11
01
01
10
10
10
01
00
11
10
11
01
01
10
00
10
00
10
10
00
01
01
10
11
10
10
11
10
00
00
10
10
10
11
10
10
00
10
10
11
10
00
10
01
01
10
01
00
01
00
11
10
10
10
00
00
00
00
00
00
11
11
10
01
01
10
10
01
00
11
00
00
00
11
00
11
10
00
10
00
10
11
10
00
00
11
11
10
10
01
10
10
01
11
10
00
10
00
11
10
10
00
00
11
11
11
01
11
00
00
01
10
00
11
10
00
10
10
00
10
00
11
00
10
10
10
00
10
10
00
11
10
00
10
00
00
11
01
11
11
10
01
00
10
10
01
01
11
11
01
00
10
01
10
10
10
01
00
11
00
00
10
00
10
01
00
10
01
10
01
00
10
10
10
10
10
00
01
00
10
00
10
10
00
10
11
11
00
00
10
01
11
10
00
11
10
01
00
00
10
00
10
10
01
00
00
10
00
10
10
00
01
00
10
01
00
11
00
00
10
00
01
10
11
10
01
00
01
10
01
01
10
10
10
00
11
00
01
10
10
11
01
10
10
01
00
00
10
00
10
00
10
11
00
00
10
00
10
10
11
11
01
11
00
00
00
00
10
10
00
01
10
11
11
11
00
10
00
00
00
00
11
11
01
00
01
10
10
11
11
11
10
00
01
01
10
01
01
11
11
01
00
10
11
10
11
00
01
11
10
10
01
00
10
10
00
10
11
00
11
01
01
00
00
00
11
10
10
10
00
01
10
10
00
00
10
10
11
00
01
10
11
01
00
00
11
00
10
10
00
11
10
00
00
11
10
01
00
00
10
00
00
00
00
10
01
01
00
11
10
01
10
11
01
00
00
10
01
00
11
00
10
10
01
11
11
10
00
11
10
11
10
01
10
01
10
01
00
10
00
11
01
01
00
11
01
00
11
11
01
11
01
01
10
00
10
00
00
11
10
10
00
00
10
11
00
10
01
00
00
01
11
00
11
00
10
00
00
00
00
11
10
00
10
11
00
10
11
00
11
11
01
11
10
00
00
00
11
10
00
10
10
00
11
00
10
10
00
10
11
01
10
00
00
01
11
01
01
10
10
11
10
01
00
00
10
10
00
00
10
10
11
01
11
11
11
01
00
00
00
00
11
10
00
00
00
10
00
10
10
00
10
10
00
11
01
00
10
11
11
00
00
00
00
11
00
01
10
10
00
00
11
10
10
00
00
01
10
10
11
10
10
10
10
00
10
10
00
10
11
00
00
11
10
01
10
00
01
00
10
10
11
00
00
01
00
00
10
10
10
01
10
00
00
10
10
01
10
10
10
00
01
00
11
10
10
00
00
10
00
00
11
00
11
00
10
10
00
00
10
11
00
00
00
10
00
11
11
10
00
00
00
00
00
00
10
11
00
01
00
00
10
01
00
10
00
00
11
11
11
00
10
11
00
10
10
11
10
11
10
10
10
00
01
10
00
00
00
10
01
00
10
00
00
11
10
10
01
00
01
11
00
11
11
00
10
00
10
01
11
10
00
10
10
10
10
00
00
01
00
00
01
11
11
11
11
01
00
00
11
00
01
00
10
10
11
00
01
10
11
01
00
01
11
00
11
10
01
00
10
10
01
00
11
10
01
00
10
01
00
10
00
11
10
01
00
10
00
00
11
10
11
10
10
00
10
01
01
00
00
11
00
01
10
10
10
10
10
00
00
00
00
11
10
11
01
10
01
11
11
10
01
00
00
11
10
01
00
01
10
10
00
10
01
00
11
11
10
01
11
11
00
11
00
11
10
00
10
00
01
11
11
00
11
11
00
00
10
11
00
00
10
01
00
00
00
01
10
10
00
01
11
10
01
01
10
11
10
10
10
10
01
00
00
11
10
11
10
10
00
00
10
10
00
00
00
00
10
10
10
10
11
11
00
00
10
10
00
10
11
10
01
00
11
00
01
01
00
11
10
01
01
00
01
11
01
01
10
00
10
11
00
00
10
10
00
01
00
10
01
00
10
10
00
01
10
11
00
11
10
10
10
10
10
10
11
00
10
00
10
11
00
10
10
00
01
00
10
10
10
01
10
00
00
10
10
00
10
00
00
10
10
10
01
10
10
10
10
11
00
00
10
00
10
00
11
00
11
10
01
00
10
11
00
00
10
10
01
01
10
11
11
01
10
11
00
00
11
11
00
10
00
00
01
00
11
10
11
10
11
01
00
01
10
10
00
00
00
00
00
10
00
11
10
11
00
00
10
01
11
00
01
10
10
11
10
11
00
10
10
00
00
01
00
10
00
01
10
00
11
11
01
10
10
10
00
10
10
10
00
00
10
11
10
00
10
10
00
00
10
11
10
00
01
00
01
00
00
10
10
00
00
01
10
11
10
00
00
01
01
10
10
00
10
10
11
10
11
01
10
01
00
10
00
10
11
01
01
10
10
01
11
10
10
01
00
01
00
10
11
00
10
01
00
11
10
10
00
01
11
11
01
01
10
11
10
00
01
11
11
00
10
10
00
00
00
10
10
11
11
00
10
10
01
10
01
00
10
11
00
01
10
01
00
11
00
00
10
01
11
10
00
00
11
11
01
10
01
01
01
00
11
00
10
10
01
01
10
00
10
10
00
00
10
00
11
00
10
10
00
10
10
00
00
00
10
11
11
11
01
00
00
00
00
10
00
01
10
10
10
11
10
10
11
10
01
00
11
10
01
00
10
11
00
01
10
01
01
00
00
10
11
00
00
10
10
11
10
10
01
00
10
10
01
11
00
11
00
00
00
01
10
00
11
10
00
00
10
10
00
01
11
01
10
00
10
00
00
10
00
01
10
01
10
10
10
10
10
00
00
11
10
10
00
10
10
01
00
11
10
00
10
11
01
00
00
00
10
00
01
00
10
10
00
00
01
10
11
10
00
00
00
11
11
00
11
10
00
00
10
11
00
01
11
10
10
00
00
01
11
10
11
00
00
11
11
00
00
11
10
01
01
01
00
00
00
11
01
00
00
01
11
10
00
11
00
00
01
11
00
00
10
10
10
00
10
00
00
00
10
10
00
10
01
10
01
10
11
10
10
11
00
00
10
11
00
11
10
10
11
00
01
10
10
00
00
11
00
00
01
00
00
00
11
10
00
10
10
00
10
01
00
11
00
11
10
01
01
10
10
01
01
10
00
11
01
11
10
01
00
10
00
10
10
10
10
01
10
10
01
00
10
10
00
00
00
10
11
01
10
11
00
00
00
10
01
10
10
00
10
10
00
00
00
10
00
10
10
10
10
10
11
11
10
10
00
10
10
10
10
00
10
10
00
01
11
00
00
10
11
11
00
10
00
00
10
10
01
10
10
10
10
10
10
11
11
00
00
00
01
00
01
01
11
10
01
10
11
10
01
10
10
10
00
00
10
00
00
10
00
11
11
01
01
10
11
10
11
10
00
00
10
11
11
10
00
00
11
01
10
00
00
01
10
10
10
11
11
10
00
01
10
00
00
10
10
00
00
11
10
11
00
00
01
01
10
00
10
00
00
00
01
01
11
10
10
00
00
11
10
00
00
10
11
00
10
11
01
01
01
11
00
10
11
01
00
10
10
00
00
11
11
01
00
10
10
00
00
10
00
10
01
00
11
11
10
00
01
10
00
10
10
01
00
11
10
00
10
00
00
11
00
01
00
10
11
11
10
00
00
00
10
00
10
10
10
01
01
10
00
00
11
00
10
10
00
11
00
00
10
10
00
10
11
10
00
10
00
10
10
10
01
10
01
10
00
00
01
00
11
10
01
00
00
01
11
00
01
10
11
01
00
00
00
01
00
01
10
00
00
11
11
11
01
11
01
10
10
01
00
00
11
01
00
11
00
11
00
10
01
10
11
00
10
01
01
11
00
00
10
11
00
01
10
11
10
00
00
10
01
01
00
10
00
00
10
00
01
10
01
11
10
01
10
10
01
10
10
01
00
11
00
01
01
00
11
01
10
10
10
11
00
11
11
00
00
10
00
10
11
00
11
00
10
11
10
10
00
10
10
10
00
01
00
10
10
10
10
10
00
11
01
10
10
00
11
11
00
00
01
10
11
01
00
01
10
10
10
00
00
11
01
00
00
00
01
11
10
01
10
10
10
11
00
00
11
10
11
00
10
01
00
10
10
00
11
10
00
11
11
01
01
00
01
10
10
00
00
10
10
10
00
11
11
00
10
00
01
01
10
10
00
01
10
10
00
00
10
01
10
11
00
10
00
10
10
11
00
00
00
01
01
11
11
10
01
01
00
01
00
10
11
10
00
00
10
00
10
10
00
00
10
00
10
00
10
01
10
10
00
00
10
00
00
11
10
00
00
01
00
10
10
00
10
01
11
10
01
00
10
01
10
10
00
00
10
00
10
10
10
10
11
01
01
11
11
00
10
00
00
10
11
00
00
11
00
00
10
00
10
00
00
10
11
00
00
00
11
00
10
10
10
10
00
11
10
10
01
00
00
01
11
00
00
11
11
01
01
10
10
00
10
10
10
00
00
11
10
10
00
11
10
11
10
00
00
10
10
10
00
10
00
00
00
00
00
10
00
01
01
10
10
00
10
10
01
00
01
00
11
01
00
11
10
10
01
10
10
00
01
11
01
11
10
00
01
00
00
00
11
10
00
00
11
00
00
00
00
00
10
00
00
01
11
11
11
00
10
01
10
11
00
11
10
11
00
11
00
01
01
00
00
01
00
10
10
00
11
00
00
10
01
00
00
00
10
10
00
10
01
00
01
10
00
11
01
00
00
00
10
10
01
00
01
10
00
10
10
00
10
10
00
00
10
10
00
10
01
11
11
00
01
10
01
01
10
00
00
10
10
11
00
11
11
00
10
01
00
00
01
11
11
10
11
01
10
00
00
10
10
00
00
11
10
11
10
10
00
01
10
00
00
10
10
00
11
00
00
00
11
00
01
11
11
00
10
10
10
01
00
11
11
01
00
11
10
10
10
00
00
01
10
10
11
11
10
11
00
01
00
00
10
00
00
10
10
00
00
11
11
10
01
01
10
10
10
00
00
00
01
10
11
00
10
00
00
10
01
01
10
10
01
11
00
01
10
01
01
11
01
10
10
00
00
11
10
00
00
00
10
11
00
11
10
11
10
10
10
00
10
10
00
00
00
00
10
10
00
00
11
00
00
10
10
11
11
10
00
00
11
10
01
10
11
11
00
01
00
10
10
10
00
01
00
10
10
10
10
10
11
10
11
10
11
11
10
00
10
01
01
01
10
10
00
10
10
10
00
00
10
00
10
00
01
10
10
10
01
00
01
00
00
10
11
01
10
10
10
00
10
11
00
00
00
00
01
11
00
01
10
10
11
01
01
11
10
00
00
10
10
01
00
11
00
00
10
10
00
00
10
10
11
01
00
01
00
00
01
00
11
10
01
00
00
10
11
00
00
01
10
00
00
10
00
01
11
00
10
00
01
10
00
00
10
10
01
00
10
00
00
10
10
00
00
00
10
10
00
10
10
11
00
00
00
00
10
00
10
10
10
01
00
00
00
11
01
10
00
11
10
01
01
11
01
00
01
00
00
01
10
10
10
00
00
10
01
00
01
00
10
11
00
00
10
10
00
10
01
00
10
10
00
00
00
11
01
10
00
10
00
10
00
00
11
10
00
01
00
10
11
00
11
11
00
00
00
11
10
11
10
10
00
00
01
10
11
00
10
10
11
10
01
10
11
00
11
11
00
01
11
10
01
10
11
00
01
00
10
00
01
01
01
11
10
01
01
10
00
00
10
00
10
00
11
10
10
10
00
11
10
01
11
00
01
00
10
00
10
10
11
00
10
00
11
00
11
11
01
00
10
01
11
10
11
10
00
10
10
00
01
00
11
11
00
11
10
00
00
10
11
01
00
11
10
01
00
10
01
00
11
11
10
01
10
11
11
10
01
10
11
00
00
00
10
00
10
10
00
00
10
11
00
00
11
10
00
11
10
10
01
00
11
10
10
00
11
00
11
10
00
10
10
00
10
10
01
01
00
10
11
01
10
01
01
00
10
01
10
11
00
01
01
11
11
11
01
00
01
11
10
01
00
11
00
10
10
10
10
00
10
11
10
11
00
10
00
00
00
00
00
11
10
10
00
00
11
00
10
00
10
10
10
01
00
10
10
01
10
00
10
10
10
00
01
11
10
01
10
00
00
00
00
10
10
00
01
00
11
01
00
10
00
00
10
01
00
10
10
00
10
00
00
11
00
01
01
11
00
00
00
11
00
00
10
10
00
01
00
00
11
10
10
00
10
01
00
01
00
00
10
00
00
01
10
11
10
01
01
10
10
10
00
00
01
00
10
10
10
10
00
11
00
10
11
10
10
00
00
01
10
11
00
00
10
01
11
11
00
01
10
00
00
00
11
10
00
00
00
11
00
00
10
11
01
10
00
00
00
00
10
11
01
01
00
01
00
11
11
00
00
10
10
01
11
10
01
10
10
00
00
11
00
00
00
11
00
10
01
10
10
10
00
01
10
11
11
00
00
11
10
00
10
01
10
01
01
10
11
01
00
00
00
10
11
00
01
11
10
00
10
10
00
10
00
00
11
10
11
00
10
10
11
10
10
00
00
10
11
10
10
01
00
01
01
10
10
00
00
00
00
11
10
00
01
00
00
01
11
11
00
00
10
10
10
00
10
10
00
00
11
00
11
11
00
00
10
00
10
10
11
00
11
11
10
00
10
10
11
11
00
10
10
00
10
00
00
10
10
00
11
10
10
01
10
00
00
11
00
00
10
00
00
11
10
11
11
10
10
11
01
00
01
10
10
11
10
10
00
01
10
01
11
00
01
01
00
00
00
10
10
01
01
10
00
01
00
11
10
01
10
00
11
00
11
00
10
01
01
10
10
10
00
11
11
10
11
10
00
00
01
10
10
00
00
11
10
01
00
00
10
01
10
00
10
10
00
00
01
10
01
10
11
01
00
01
01
10
11
00
10
10
10
00
00
11
10
10
10
10
00
11
11
00
10
01
11
00
01
10
10
00
11
01
00
01
01
01
10
00
10
11
00
11
10
01
10
11
10
01
01
10
00
10
10
00
11
00
10
01
11
11
10
10
00
01
01
11
10
00
10
01
10
10
01
00
10
01
01
10
01
11
00
00
00
00
00
10
10
10
01
10
00
10
00
00
01
01
10
00
01
01
00
00
10
00
01
11
10
11
11
01
01
11
10
10
00
10
00
10
01
00
10
10
10
10
00
00
00
10
10
00
11
01
11
00
00
10
00
01
00
11
00
11
10
01
00
00
11
11
00
00
11
01
01
10
10
11
00
01
11
10
11
01
00
10
10
01
01
11
00
10
10
11
11
10
00
00
00
10
00
00
00
00
00
00
00
11
00
10
10
10
11
10
10
11
00
00
00
00
10
10
00
01
00
01
00
10
11
11
10
11
00
01
00
11
00
11
10
00
10
10
10
00
11
11
10
00
11
11
01
10
00
00
11
10
00
01
11
11
00
01
10
01
10
01
00
00
10
11
00
00
11
00
00
10
00
11
10
10
00
00
01
10
00
10
10
10
10
01
10
00
10
11
00
01
00
00
01
00
10
11
01
10
11
00
00
00
00
01
10
00
00
10
00
10
11
00
10
10
00
00
01
00
11
01
01
10
10
11
11
10
01
10
00
00
00
00
10
01
00
11
10
10
11
00
11
01
00
10
01
01
10
10
00
10
11
01
11
10
00
00
10
00
00
00
01
10
01
00
10
01
11
00
10
10
01
00
01
00
01
10
01
00
10
01
00
10
11
00
00
01
00
10
11
01
11
00
01
10
00
10
01
00
10
10
00
00
10
00
11
00
01
10
01
00
00
00
10
10
00
00
10
11
11
00
00
11
00
10
10
11
11
11
10
00
10
00
11
00
00
11
11
11
10
00
01
10
11
00
00
10
00
00
11
11
00
00
00
00
10
00
00
10
00
10
10
00
11
01
10
10
10
00
10
00
00
10
11
00
01
00
01
00
10
10
00
00
01
00
10
10
01
10
11
00
01
00
00
11
11
10
10
00
01
10
01
00
10
10
00
11
11
01
00
11
11
10
10
00
10
11
00
01
10
10
00
01
10
00
00
11
11
01
10
10
10
11
00
00
10
10
00
00
01
11
00
01
10
00
11
10
00
00
10
11
10
00
00
00
00
11
10
00
00
11
00
10
00
10
00
00
00
11
10
00
10
00
00
00
11
10
11
10
00
01
00
10
00
10
00
00
01
10
00
10
00
00
00
00
10
10
10
10
11
01
10
10
10
11
00
10
00
00
10
01
10
00
00
00
00
00
10
00
11
10
00
01
00
11
01
01
10
10
10
00
10
10
01
01
10
00
01
10
10
01
11
10
00
00
10
10
10
10
01
00
10
10
00
00
10
01
00
10
00
10
00
00
00
00
10
11
10
01
10
01
00
01
11
01
11
10
00
00
00
11
00
01
01
10
00
11
10
01
10
11
10
10
00
10
11
00
00
10
10
10
11
00
01
11
11
10
01
11
10
10
01
00
11
00
01
10
10
10
00
00
10
00
00
00
11
10
10
01
00
10
10
00
01
01
10
10
00
01
10
00
11
10
00
00
10
00
10
00
10
00
11
00
11
11
01
10
01
00
00
00
00
01
11
11
01
01
10
10
01
01
10
11
00
00
01
10
10
10
00
01
11
01
00
10
11
10
10
10
11
00
00
10
00
11
00
00
10
00
01
10
00
11
11
10
00
10
00
11
00
10
00
10
10
10
00
01
00
11
10
00
10
01
00
10
11
00
00
10
11
00
01
10
11
00
00
10
11
10
00
01
10
00
10
01
10
11
01
11
11
11
00
00
10
00
10
10
10
10
01
01
10
01
01
10
11
00
10
10
00
00
10
10
10
01
10
00
01
01
10
11
11
01
10
00
10
01
01
10
00
00
01
10
11
10
01
00
01
00
11
00
10
11
01
10
00
10
10
10
11
01
10
10
10
00
11
01
10
10
00
00
00
00
00
10
10
01
10
10
10
00
11
10
01
10
00
00
00
10
10
01
00
00
00
10
01
01
00
10
10
00
10
10
00
10
10
10
00
00
10
10
11
00
10
10
01
00
01
00
10
10
10
01
10
10
00
00
10
01
00
10
01
00
11
01
10
00
01
01
00
11
11
10
01
00
01
00
01
10
00
11
11
00
01
10
11
10
01
00
00
10
10
10
10
10
00
00
11
10
10
00
10
10
10
00
10
00
00
01
00
10
10
10
11
01
10
00
01
00
00
11
11
11
11
00
00
11
10
00
00
10
10
10
00
00
01
00
10
00
01
10
10
10
11
11
10
10
00
00
00
11
11
00
00
00
10
00
00
01
10
11
10
10
10
10
01
00
00
10
01
11
11
01
11
10
00
00
00
11
10
01
00
10
01
11
10
10
00
10
01
10
10
00
11
10
00
00
10
01
01
10
11
11
01
00
11
10
00
00
11
10
00
00
10
10
00
00
00
10
00
00
00
10
00
00
10
10
00
11
10
10
11
10
10
10
10
10
10
11
01
00
01
11
00
00
10
10
10
00
00
01
01
10
00
00
01
00
00
10
10
00
01
00
10
00
10
11
01
00
00
10
10
00
01
11
00
00
00
11
10
00
00
00
10
00
11
11
01
10
00
01
00
11
11
11
00
10
00
01
10
00
00
10
01
11
10
00
10
10
00
01
00
00
10
00
00
00
10
00
00
01
10
11
00
00
10
10
00
11
10
00
01
00
11
01
10
00
10
11
11
11
00
00
00
10
00
01
10
11
11
01
00
01
10
00
10
10
00
00
01
11
11
11
00
10
11
11
00
00
10
10
10
01
01
01
01
10
10
10
11
01
10
11
00
01
01
11
10
10
00
10
00
01
01
00
10
00
11
01
00
10
10
00
00
00
00
00
00
10
10
11
00
00
10
10
01
00
00
01
10
01
00
00
10
11
10
11
10
00
10
10
11
10
01
01
00
10
10
10
10
10
01
00
10
10
10
11
10
01
11
11
10
10
00
00
00
10
01
00
11
11
00
00
10
10
11
00
00
11
00
10
00
10
10
10
00
01
11
00
10
00
00
01
10
00
00
00
10
01
11
10
10
00
00
11
10
01
01
11
10
11
00
00
10
10
00
11
10
10
10
00
01
10
10
00
01
10
11
01
00
11
11
11
11
00
00
11
10
11
00
01
10
10
00
00
00
10
11
00
01
00
11
11
10
01
00
10
10
11
00
00
10
10
01
00
11
01
00
00
11
00
00
01
10
10
00
11
10
01
00
01
11
10
11
00
00
11
10
10
11
10
10
11
00
00
01
11
01
10
10
10
00
01
00
10
10
00
01
11
01
00
10
10
00
10
10
10
01
00
00
10
10
00
00
01
10
11
11
01
10
01
01
10
11
01
10
11
01
01
00
00
10
01
01
10
11
00
01
01
01
11
11
01
10
11
00
01
10
10
01
00
00
10
01
10
00
00
00
00
00
01
01
11
01
00
10
10
10
00
00
10
11
01
00
11
00
00
00
01
10
10
11
01
00
01
00
10
00
01
01
00
10
11
10
00
00
01
10
00
00
11
11
00
01
00
00
11
10
10
10
00
10
10
00
10
10
00
00
00
00
10
10
10
00
10
11
01
01
10
10
10
10
11
10
00
00
00
01
00
11
10
10
10
10
00
00
00
11
10
11
10
10
00
01
10
00
10
10
10
01
10
10
11
00
01
01
10
00
01
11
11
10
00
00
10
10
00
00
10
10
11
10
00
11
10
10
01
01
11
11
00
01
11
11
10
11
00
01
11
10
00
10
01
00
11
10
00
00
01
10
11
11
11
11
01
01
00
11
10
10
10
00
01
00
11
11
00
00
10
00
11
10
10
10
10
00
10
10
01
10
00
10
11
00
00
00
10
10
01
10
11
10
01
11
00
10
10
00
10
10
00
10
00
00
01
00
10
01
10
10
00
11
00
01
00
01
00
10
10
10
10
10
11
01
01
00
01
00
00
00
10
00
00
10
11
10
01
10
00
11
11
10
00
00
10
00
01
00
11
11
10
00
01
11
11
00
00
11
10
11
10
00
10
01
00
01
00
10
00
10
11
10
10
01
00
10
00
11
11
00
01
01
10
11
10
00
00
11
11
10
00
01
10
10
10
00
00
00
01
00
00
01
00
11
00
10
11
00
00
00
11
10
10
01
01
00
11
11
10
01
00
10
11
00
00
10
10
00
10
11
10
10
01
01
00
00
00
10
11
01
00
00
01
10
11
10
01
00
00
01
10
10
10
00
00
11
11
10
01
10
00
10
01
10
00
01
10
00
00
00
10
10
00
10
01
00
10
11
01
00
10
10
00
10
10
10
00
11
11
01
10
11
10
10
00
10
00
00
01
10
10
00
11
01
00
00
10
10
10
10
00
01
11
11
10
00
10
11
10
01
01
10
00
10
10
11
10
00
10
10
10
01
10
10
00
10
01
00
01
11
10
10
01
00
11
01
00
10
00
00
11
01
00
10
00
10
10
11
10
00
00
10
10
10
10
00
01
11
00
00
01
11
00
11
00
01
10
10
10
01
00
00
10
11
00
10
10
11
01
00
10
11
11
10
00
01
10
11
00
11
00
00
10
11
00
00
01
10
10
10
01
00
00
10
11
00
01
01
10
11
01
10
10
01
01
00
01
10
01
01
10
11
10
01
00
00
10
11
00
00
00
10
00
00
10
01
00
00
01
11
11
00
10
11
10
01
00
10
00
00
11
11
01
00
11
00
01
00
10
10
00
10
10
01
00
10
10
00
00
10
10
01
10
10
00
10
00
00
10
10
10
10
00
00
00
11
00
00
10
00
11
00
00
01
11
11
11
10
11
10
00
10
00
00
11
10
00
10
00
00
00
01
00
10
11
10
10
00
00
00
00
10
10
11
00
10
00
00
11
11
01
10
00
00
11
10
01
00
01
00
10
11
01
00
01
00
10
10
00
11
00
00
10
10
11
11
11
00
00
10
01
00
00
10
10
00
00
11
01
00
00
00
11
00
01
10
10
00
01
11
00
00
11
00
10
11
11
11
11
10
00
10
01
00
10
10
00
10
00
10
10
10
00
01
10
01
00
10
10
00
01
10
01
11
10
00
01
10
01
01
01
00
10
00
00
10
10
00
01
10
00
11
11
10
10
10
01
00
11
00
00
10
11
00
00
10
10
00
00
01
11
00
00
01
11
10
00
11
10
00
01
00
00
00
10
11
10
11
01
10
11
00
00
10
01
00
00
01
10
10
10
01
01
00
01
11
11
00
10
10
00
10
10
11
00
10
10
11
00
10
10
00
01
01
00
10
00
11
00
11
00
00
11
11
11
00
10
10
10
00
00
11
00
01
01
01
11
00
10
10
01
00
01
10
10
00
11
11
01
10
10
01
00
11
00
01
10
00
10
10
10
00
00
00
10
10
11
10
10
11
10
01
01
11
01
10
01
00
10
10
00
00
10
00
00
01
10
10
00
10
10
01
10
10
00
00
11
11
00
00
11
11
00
10
00
10
00
11
11
00
10
10
01
01
00
11
01
11
01
01
10
00
00
00
00
11
10
10
11
01
00
00
00
11
10
01
00
11
10
01
00
11
01
10
10
00
10
11
11
00
00
01
01
00
10
10
01
00
10
10
00
01
00
10
10
10
11
11
01
10
01
10
00
01
10
00
00
01
11
01
10
00
00
11
10
01
01
00
00
10
01
11
00
11
00
00
00
11
00
11
00
00
10
01
00
11
10
01
00
10
00
01
10
00
01
10
00
11
01
00
00
11
00
11
10
10
00
00
00
00
11
11
11
10
01
01
00
10
11
10
10
00
01
10
10
00
10
11
10
11
01
00
00
10
00
10
01
00
10
11
01
11
01
01
01
10
10
00
11
10
00
11
10
11
01
01
11
01
00
11
10
11
10
00
00
10
10
00
11
10
00
10
11
00
10
11
00
11
11
11
10
10
00
00
10
10
10
00
00
10
00
10
11
10
10
10
11
00
00
00
00
11
10
00
10
10
00
00
11
10
00
11
10
01
00
01
10
10
00
10
01
01
10
10
11
10
10
00
00
10
11
10
00
00
10
01
00
11
10
10
10
00
00
11
10
00
10
10
00
01
00
10
01
01
01
01
10
10
01
01
10
00
00
10
00
00
10
01
01
11
01
00
00
10
11
00
10
00
00
10
11
00
00
10
10
10
00
10
00
10
11
10
00
01
00
10
00
10
11
00
11
10
00
10
00
10
00
00
10
00
00
11
01
10
10
00
10
10
00
00
01
00
01
10
01
10
11
11
00
10
11
00
11
01
10
00
10
00
00
10
10
11
10
11
01
10
00
10
10
00
10
11
01
00
10
10
00
00
10
01
10
10
11
00
01
10
11
11
10
01
00
01
11
00
10
11
00
00
10
10
00
00
00
00
10
01
00
01
00
11
10
11
10
11
01
00
00
10
11
00
01
10
00
00
00
00
00
00
11
01
10
10
00
11
01
00
10
11
01
10
10
10
10
01
01
10
10
01
10
10
10
11
00
10
01
00
10
11
11
00
10
10
11
10
00
00
00
10
01
00
00
10
10
10
00
10
11
00
00
00
00
00
00
10
11
01
00
00
00
10
11
10
00
10
10
11
11
11
11
11
01
01
00
00
00
00
11
10
01
10
10
10
00
00
10
11
01
11
00
10
00
10
00
01
10
10
01
01
10
00
11
10
00
01
11
10
00
10
01
00
11
10
10
10
10
00
01
00
11
10
10
11
10
10
10
10
00
00
00
10
00
01
00
01
00
10
10
10
10
00
11
10
10
00
10
11
10
10
00
00
10
11
10
01
00
00
00
11
10
00
00
00
00
11
10
10
10
10
00
10
11
00
11
10
11
00
11
11
01
01
11
10
00
10
10
00
00
11
00
01
11
00
01
10
10
11
10
00
10
10
10
10
00
00
00
10
00
11
00
00
00
10
01
01
01
01
10
10
10
11
10
11
00
00
00
10
00
01
01
10
10
00
10
00
00
11
01
11
10
11
10
10
11
01
10
10
00
00
10
10
11
00
01
00
00
11
11
10
00
10
11
10
00
00
11
11
01
01
00
11
10
00
01
10
10
00
00
10
00
10
01
10
10
11
01
11
00
00
11
10
00
10
01
00
01
10
10
11
00
00
10
11
00
01
11
11
00
11
01
10
10
11
00
00
11
00
10
10
00
11
11
01
00
01
10
00
00
00
10
10
00
10
01
00
10
10
01
11
10
10
10
00
00
01
00
11
10
01
00
00
10
11
00
10
10
00
10
10
10
00
01
10
01
00
11
10
10
00
01
00
01
01
10
00
11
10
00
10
10
00
01
01
00
01
11
00
11
01
11
11
00
00
11
11
01
00
11
01
00
11
10
10
00
00
10
00
00
00
11
10
00
00
01
11
10
10
10
10
11
10
01
10
10
01
00
01
11
10
01
01
11
11
10
00
01
10
11
01
10
10
11
11
01
01
10
00
10
00
10
10
00
11
01
00
11
10
00
10
01
10
01
00
10
10
00
01
00
11
10
00
01
10
10
10
10
00
01
11
00
00
10
00
10
10
10
00
00
00
00
00
00
00
00
01
10
00
10
10
00
11
10
00
00
11
11
10
00
01
00
00
11
00
11
10
01
10
11
00
01
11
10
00
00
01
11
10
10
00
00
11
10
00
11
10
00
00
10
11
00
00
10
11
00
11
00
11
10
00
00
01
10
10
00
00
00
11
00
00
10
10
00
10
10
01
10
10
00
10
01
10
01
00
11
00
00
00
10
01
00
10
00
10
10
00
11
00
10
11
10
00
10
10
00
00
10
10
01
00
11
01
00
10
00
00
11
11
10
00
10
11
10
01
10
11
01
01
10
01
11
11
00
00
10
01
10
10
00
00
00
10
01
00
10
10
00
00
11
00
00
00
10
01
00
11
00
11
10
11
10
01
01
11
10
00
11
11
00
10
10
01
00
10
10
01
01
00
00
11
10
00
11
00
01
10
11
11
01
01
00
01
10
10
00
10
10
00
00
10
00
00
00
01
11
00
00
11
11
10
10
00
10
10
01
00
11
10
00
00
00
10
00
00
10
10
10
10
00
01
00
10
00
10
00
11
01
01
10
10
10
00
00
01
10
11
00
11
00
00
11
10
10
01
00
10
00
00
01
01
00
01
01
10
11
01
10
10
11
00
11
10
11
10
00
00
00
01
10
10
01
10
10
00
10
10
01
00
00
00
00
00
10
10
10
00
10
10
11
00
00
11
00
10
00
10
10
10
01
00
10
00
10
11
01
01
10
10
01
10
00
01
01
11
10
11
10
00
11
10
01
00
01
10
00
00
10
01
00
11
10
10
10
10
01
00
00
10
00
01
00
10
10
10
00
00
01
01
00
00
11
00
00
11
00
10
10
00
10
10
10
00
00
10
01
00
10
00
10
10
00
10
10
00
01
10
10
00
11
10
01
10
01
10
10
11
11
01
00
00
00
00
00
01
00
11
10
11
10
00
01
10
10
00
01
10
00
11
00
11
11
01
01
00
10
11
10
10
11
01
01
00
01
10
00
00
11
11
00
01
10
11
00
10
00
00
00
10
10
01
11
11
00
10
01
10
00
00
10
01
10
01
10
00
00
10
00
10
10
01
00
10
00
10
00
10
11
11
01
00
10
10
00
10
11
01
10
01
00
10
00
10
01
00
10
00
11
00
10
00
11
10
00
00
00
11
10
11
11
00
10
00
10
01
10
10
10
00
00
10
00
10
00
10
00
10
10
01
10
10
11
00
10
01
11
10
01
10
10
10
10
00
00
10
10
01
01
00
11
00
11
00
01
11
00
01
11
00
01
00
10
10
11
10
10
00
00
00
11
00
01
10
00
10
00
10
10
10
11
11
10
10
00
00
10
00
10
11
01
00
01
11
00
11
10
00
00
10
10
10
00
00
10
00
00
00
11
10
00
10
10
00
01
10
10
10
00
10
01
11
10
10
00
11
01
01
10
00
10
10
00
10
10
00
00
00
11
00
10
11
10
11
10
00
01
00
11
00
10
10
01
00
00
11
10
00
01
00
11
00
11
10
10
10
01
01
10
11
01
01
10
00
00
01
11
01
10
10
00
11
10
10
00
10
10
10
00
00
00
11
10
10
00
11
00
10
10
01
10
01
00
11
10
10
01
11
10
10
11
10
10
11
01
01
00
11
10
01
11
11
00
01
10
11
10
01
00
11
00
00
10
11
10
00
11
10
00
10
10
10
10
01
01
01
01
10
10
01
00
00
10
10
00
00
10
11
11
00
10
00
00
01
11
11
11
01
00
10
11
00
10
10
00
00
00
00
10
11
00
00
10
10
00
00
11
00
00
10
01
11
00
10
11
01
11
11
00
00
00
10
10
11
00
00
01
11
01
11
00
01
10
01
00
10
10
11
11
00
00
00
00
00
10
10
00
00
11
00
10
00
00
11
00
00
11
11
01
00
11
00
01
00
00
10
11
10
10
00
00
10
11
00
00
10
10
00
10
10
00
00
00
10
10
11
10
00
00
11
10
11
00
00
00
00
10
10
11
01
10
10
01
00
10
10
01
10
10
01
01
10
11
01
11
00
11
01
11
00
00
10
00
00
10
01
00
00
10
10
00
00
00
11
00
01
10
10
10
10
11
10
00
01
00
11
00
00
00
00
00
10
00
10
10
00
00
11
10
00
01
10
11
00
01
01
10
10
00
00
11
00
01
11
01
01
00
00
10
00
00
10
11
00
00
10
11
00
10
11
00
01
10
01
11
00
00
11
01
11
10
01
10
10
11
10
00
00
10
10
00
00
00
10
01
00
11
10
10
11
10
10
10
00
00
10
00
11
10
10
10
01
01
10
10
01
00
11
11
01
10
10
00
10
00
01
00
11
10
10
11
00
00
10
11
10
10
10
11
01
01
00
01
01
10
00
00
00
10
10
00
10
10
00
00
00
00
10
01
10
10
00
00
10
00
00
10
00
00
00
00
11
00
10
11
10
10
10
10
00
01
10
10
10
01
10
00
11
00
10
01
00
11
00
00
00
10
10
00
10
01
00
10
01
01
11
00
10
10
10
10
00
10
10
01
11
01
10
00
10
01
10
00
00
10
10
00
00
11
11
11
11
00
01
10
10
10
00
00
10
10
11
11
00
11
10
00
11
00
11
00
01
10
01
10
11
00
00
10
10
00
01
00
00
11
10
10
10
10
01
00
01
01
11
11
01
00
01
00
11
11
00
00
10
11
11
00
01
01
10
10
00
10
00
10
10
11
00
00
01
10
00
10
11
00
10
00
00
10
10
01
00
00
00
10
10
00
00
00
00
11
11
00
00
10
10
01
10
00
10
10
11
00
11
10
00
00
00
11
10
00
00
00
11
10
00
00
10
11
00
10
01
00
00
10
00
10
11
00
00
00
11
00
10
00
00
11
11
10
11
11
00
00
10
11
00
01
11
01
00
00
00
01
11
00
00
10
00
10
10
11
10
00
00
11
00
10
00
00
11
10
11
00
10
11
00
00
00
10
10
01
10
01
00
10
00
00
10
11
00
00
10
10
00
00
10
00
10
10
00
10
00
00
10
10
01
00
11
00
11
10
00
00
11
10
00
10
10
10
00
10
01
11
01
01
11
10
10
11
11
00
00
11
10
01
01
10
11
11
11
01
01
10
10
00
11
01
10
10
00
01
01
00
10
00
01
10
10
00
00
00
10
11
10
10
00
01
00
10
10
01
00
11
10
11
11
00
10
00
01
00
00
10
10
11
00
11
00
00
01
00
01
10
10
00
10
00
10
01
10
10
00
10
00
01
10
00
00
01
10
10
01
00
00
00
00
11
10
11
00
10
11
01
01
10
01
01
10
11
00
00
11
11
01
11
01
11
11
11
00
01
10
11
11
10
01
01
10
11
00
01
01
01
10
11
00
00
00
01
10
00
10
10
01
01
10
01
01
01
01
10
01
10
11
00
00
10
10
01
00
10
10
00
00
10
10
01
11
00
01
10
00
00
10
01
01
00
11
10
00
10
00
00
10
10
01
11
00
00
00
10
10
10
11
00
01
00
00
00
10
10
01
00
11
10
11
10
10
10
00
10
11
11
10
00
01
10
00
00
10
10
10
00
01
10
01
10
11
00
10
10
00
10
00
00
10
10
00
10
01
10
00
00
00
10
10
00
01
11
10
01
00
10
00
00
10
10
00
01
00
10
10
00
10
10
10
00
11
00
11
00
00
10
10
10
01
10
10
01
10
01
10
01
00
11
00
11
11
10
01
01
01
11
10
00
01
11
00
11
10
01
00
01
10
10
00
01
10
10
01
00
00
11
10
00
01
11
00
01
01
10
00
00
10
11
00
00
10
10
00
10
11
11
00
11
10
10
00
00
00
11
10
00
10
10
01
10
00
01
00
11
11
00
00
10
10
00
00
10
11
10
10
10
00
01
00
01
10
00
01
01
01
01
00
11
10
10
11
00
11
11
11
00
01
00
10
10
01
10
10
00
00
10
10
00
00
00
00
10
10
00
11
00
10
10
00
00
10
10
00
00
01
11
11
00
00
11
10
00
00
10
11
10
00
10
00
11
11
00
00
00
10
10
00
00
00
10
00
00
10
00
10
10
11
00
10
10
10
00
10
10
10
10
01
01
00
00
11
10
11
00
01
10
10
10
00
01
00
01
01
00
01
00
00
10
01
01
00
11
10
10
11
11
01
10
10
00
00
10
00
10
10
00
00
11
11
01
00
10
11
11
00
01
11
10
10
10
00
10
00
01
10
00
01
10
00
10
00
00
10
10
01
00
10
10
01
00
10
10
10
10
01
11
01
01
10
10
11
01
00
01
11
10
11
00
11
11
10
00
01
10
11
00
10
10
00
01
01
00
10
10
11
00
00
01
10
10
10
01
00
11
00
11
10
00
00
11
10
00
00
11
11
00
00
00
10
10
10
10
01
10
10
10
10
00
11
00
00
01
10
00
01
00
11
10
00
10
11
01
10
01
00
00
11
10
00
00
10
00
00
11
10
01
10
01
01
00
00
10
10
00
10
10
00
10
11
11
00
01
10
00
10
10
00
11
00
00
10
10
00
11
01
00
01
00
10
00
10
00
00
01
10
11
10
01
00
10
00
00
01
11
10
01
10
00
01
01
10
10
01
00
00
11
10
10
11
10
01
10
10
01
10
10
10
11
01
10
10
00
00
00
00
11
10
10
00
10
11
01
00
10
00
01
10
10
10
00
01
10
10
10
01
00
01
00
11
00
11
11
00
11
00
00
00
11
10
11
10
00
00
00
00
10
10
00
00
00
10
10
00
00
11
10
11
11
01
00
11
10
01
10
10
00
10
10
01
01
00
00
00
01
10
01
10
10
00
10
01
00
10
00
00
10
00
10
11
01
00
00
00
10
11
11
11
00
00
11
11
00
01
10
11
00
00
10
11
00
00
00
01
10
11
01
11
01
00
10
10
10
00
00
01
10
11
10
00
11
11
00
10
10
00
00
01
10
11
10
00
10
00
10
10
10
11
01
10
10
11
10
11
10
00
10
10
00
01
10
10
01
00
01
10
10
01
11
11
10
10
00
00
01
00
11
10
11
00
10
11
00
10
10
11
00
00
00
01
00
00
10
10
11
00
11
00
01
11
11
00
01
10
01
11
11
11
00
00
11
11
00
00
10
10
00
00
10
10
00
01
10
00
10
01
10
10
10
10
00
00
10
10
10
10
00
01
01
00
10
10
11
00
10
10
00
10
10
00
11
01
10
10
00
11
10
10
00
11
00
10
00
10
10
00
00
00
10
11
00
10
01
01
00
00
00
11
00
00
10
11
01
01
10
11
00
00
10
00
10
10
10
00
01
01
11
01
10
10
00
00
10
10
00
01
00
10
10
10
00
11
11
01
11
11
00
01
00
01
10
11
01
01
00
10
10
01
01
01
11
11
01
10
00
00
10
00
00
00
10
10
00
11
11
11
00
00
01
00
10
00
00
10
11
11
10
01
00
10
10
00
10
11
10
00
00
00
11
10
00
10
11
10
11
11
10
00
10
00
00
10
10
01
00
01
00
10
00
10
00
10
01
01
01
01
00
00
00
10
10
00
11
10
01
00
00
01
10
10
00
01
10
11
10
10
11
10
10
01
01
00
00
10
10
11
00
00
00
00
00
11
10
00
10
00
11
00
00
10
11
10
10
11
11
01
11
00
01
11
10
00
10
10
00
01
11
10
00
00
00
10
01
10
11
00
00
01
01
00
10
11
10
10
10
00
11
00
00
00
10
11
01
11
10
10
11
10
00
00
11
01
01
11
00
00
10
10
10
00
00
00
00
00
10
01
00
00
11
00
00
11
10
00
00
00
11
11
00
01
11
11
11
00
10
00
10
00
01
10
10
00
10
10
10
10
00
01
10
10
10
00
10
10
10
11
10
10
01
10
01
00
11
10
10
11
11
10
01
00
01
00
10
00
10
00
00
00
11
10
11
10
01
10
11
10
10
00
00
01
10
11
00
10
01
10
00
01
00
00
00
11
10
11
10
00
00
00
11
00
10
01
11
10
10
11
10
00
00
10
00
00
10
10
10
11
11
01
10
11
00
01
00
10
00
00
00
00
01
10
10
01
10
10
10
00
00
11
10
11
10
00
00
01
11
11
01
00
10
10
10
01
00
11
11
11
10
10
01
01
10
11
00
10
00
01
10
11
00
00
01
10
10
01
01
11
11
00
00
10
11
00
10
10
10
01
00
11
01
00
00
10
10
10
00
00
11
10
01
01
11
10
00
11
10
10
00
00
11
00
10
10
10
00
00
01
00
10
01
00
11
01
01
00
00
10
10
10
00
11
01
10
10
01
01
00
00
10
10
00
00
00
00
00
11
10
01
10
01
00
01
10
10
00
01
10
10
10
11
11
10
10
00
10
10
00
00
10
11
00
01
00
11
00
01
00
01
00
00
01
01
11
11
00
01
00
11
10
11
00
10
00
01
11
11
11
00
10
11
11
00
10
10
01
10
01
00
00
00
01
00
10
00
10
10
00
01
11
00
10
10
10
00
11
01
01
00
10
10
10
00
11
11
01
10
00
00
11
00
00
00
10
00
10
00
10
10
01
11
10
10
00
10
00
00
11
10
01
01
01
10
01
01
00
00
10
00
00
10
10
01
00
11
00
00
10
00
10
01
00
10
11
01
00
00
00
10
11
00
00
01
00
10
10
00
10
10
01
11
00
00
01
10
10
00
00
11
10
10
10
11
00
00
01
10
11
10
01
10
11
10
00
00
10
01
00
10
10
01
01
10
00
00
00
11
10
00
10
00
00
00
00
10
10
11
00
00
00
11
00
10
11
11
01
00
10
10
00
01
00
00
10
00
00
11
10
10
00
11
10
00
01
10
10
01
01
00
10
00
01
00
00
00
10
01
00
01
11
10
10
00
01
11
01
01
10
01
01
11
10
00
01
10
10
00
00
10
00
00
10
00
00
00
00
10
11
10
00
00
00
00
00
11
01
10
11
10
00
11
00
10
11
10
10
00
00
00
00
11
11
00
10
01
10
01
01
11
10
10
10
10
10
00
10
11
00
11
10
10
10
00
11
01
01
11
11
10
10
00
11
11
00
00
00
10
01
01
10
10
00
00
00
00
01
10
00
01
00
10
00
10
10
00
00
00
01
10
00
01
10
10
00
10
11
00
00
00
00
10
10
11
01
11
11
00
00
00
01
11
10
00
10
10
01
00
00
10
10
11
10
01
10
00
00
11
10
00
00
10
00
10
01
01
10
10
10
00
01
00
01
11
01
10
11
00
10
01
00
01
10
10
10
10
01
10
00
00
10
00
01
00
10
10
11
10
10
00
01
10
10
10
00
00
10
00
00
10
01
01
00
11
00
01
00
01
11
10
10
00
00
11
10
01
00
00
00
00
10
10
00
00
11
00
00
10
11
10
10
00
01
01
00
11
00
11
10
00
11
11
10
00
01
00
10
11
10
00
10
00
00
10
10
10
01
11
00
10
00
01
10
10
10
11
00
01
01
11
01
11
10
11
01
00
11
10
00
01
01
10
10
11
00
00
01
11
10
00
00
10
00
10
01
00
01
10
01
01
01
00
10
00
00
00
10
11
11
01
00
00
01
00
00
00
10
10
10
10
10
00
11
11
00
01
00
11
10
01
10
00
10
00
10
11
00
01
11
11
10
00
00
10
00
00
01
10
00
01
01
01
10
00
00
10
10
10
01
10
01
00
10
01
11
00
01
01
11
10
00
10
00
11
10
00
00
10
00
10
10
10
00
01
10
10
01
00
01
11
00
00
00
00
11
00
00
10
11
10
00
11
01
00
10
11
11
00
11
00
10
10
00
00
10
10
00
11
10
01
01
10
00
01
11
11
11
01
01
00
00
11
00
00
10
10
01
01
11
11
10
01
11
01
00
00
00
10
11
00
10
10
00
11
00
10
01
00
00
00
01
01
01
11
10
00
01
01
11
01
01
10
11
00
00
11
10
00
00
10
10
00
10
01
10
10
10
00
10
01
00
11
00
10
10
01
10
10
01
00
00
10
00
00
01
11
00
10
10
11
00
10
10
00
01
10
00
01
11
01
11
11
01
00
00
10
11
10
00
01
11
01
01
10
10
01
01
11
00
01
10
10
00
10
10
00
10
10
11
00
01
00
10
11
01
00
00
11
00
10
10
00
10
10
10
10
01
10
10
00
00
00
10
00
11
10
01
10
10
00
00
10
10
10
01
00
11
01
11
00
01
10
10
00
00
10
11
00
01
00
11
00
01
10
10
00
00
10
01
00
10
01
00
00
11
00
00
10
10
10
11
01
01
11
00
11
00
11
10
01
00
11
11
00
10
11
01
10
11
01
10
00
00
00
00
11
01
00
11
00
00
00
11
10
10
00
00
01
11
10
01
00
00
01
00
10
10
11
00
01
11
00
10
00
10
00
11
11
10
00
10
00
00
01
10
10
00
01
01
10
01
10
01
11
10
00
10
00
10
01
00
00
11
10
11
00
01
00
00
10
00
00
01
10
11
00
00
00
10
00
10
10
11
10
10
11
10
10
10
00
10
10
00
01
00
01
01
11
10
00
10
10
01
00
11
10
10
10
10
10
10
01
00
11
00
10
00
11
11
11
10
00
10
10
10
10
00
11
11
10
00
01
11
10
10
10
01
11
10
10
11
10
10
10
00
01
10
10
11
10
00
00
11
10
10
10
01
00
11
11
01
01
00
00
11
00
01
00
11
10
00
00
01
10
10
11
10
10
10
10
00
11
10
00
00
10
10
10
01
10
10
10
00
10
10
01
01
11
11
10
11
11
10
01
00
10
10
10
01
10
00
01
10
10
00
11
00
11
00
00
11
00
01
10
00
00
00
01
10
11
00
10
00
11
11
10
00
00
10
11
00
00
11
10
10
11
01
10
11
00
00
10
00
01
01
01
11
00
00
00
10
10
01
11
10
11
00
00
11
00
00
11
10
11
00
01
10
11
00
10
10
11
00
01
00
10
00
11
00
00
01
10
00
10
11
00
11
10
01
10
10
01
10
00
00
11
11
00
01
01
10
00
01
10
11
11
00
00
11
01
10
10
00
10
11
11
01
00
00
10
10
00
00
10
10
10
10
01
00
01
11
01
00
11
10
10
10
00
00
00
10
10
00
00
11
00
00
00
00
10
00
00
01
00
00
10
11
00
11
00
11
11
00
10
11
11
10
10
00
11
10
01
11
01
00
10
01
10
11
11
01
00
11
00
01
10
10
00
10
11
01
10
10
10
10
00
10
10
00
00
11
10
00
10
10
10
00
00
11
00
01
11
10
10
00
00
10
00
00
00
00
10
11
11
11
00
00
00
00
11
10
11
00
00
10
00
00
10
11
00
00
10
11
00
00
01
00
01
00
11
01
00
10
01
00
10
10
01
00
11
01
10
10
00
01
01
11
10
11
10
00
10
01
00
01
10
10
10
10
11
00
10
11
01
00
11
00
10
00
10
10
10
01
01
11
10
00
10
11
11
00
01
00
10
01
11
00
00
10
10
01
11
10
00
10
11
10
00
00
00
10
11
01
11
10
11
10
10
10
10
10
00
00
11
00
11
11
11
00
11
01
00
01
11
11
01
00
11
10
10
01
01
11
11
00
00
00
01
10
10
00
11
00
11
00
00
11
00
01
00
00
10
01
00
10
10
10
10
01
00
01
11
11
01
01
10
01
10
10
00
10
10
01
01
10
10
11
01
10
11
10
00
10
00
00
10
10
01
00
00
00
01
11
11
11
10
10
10
01
00
00
11
10
10
10
00
11
00
10
11
10
01
10
00
00
10
00
10
11
00
00
10
11
10
01
10
00
10
01
00
11
11
01
11
10
01
01
01
10
10
00
01
10
00
11
10
00
10
11
10
10
00
00
01
11
11
10
00
01
00
10
10
10
00
00
11
10
01
00
10
10
10
10
10
01
01
10
11
00
00
00
10
11
00
10
10
01
10
01
11
00
00
10
01
11
11
01
10
00
01
00
10
10
00
00
00
10
10
00
01
10
11
10
00
01
11
10
00
10
10
00
10
10
00
00
10
01
00
10
00
00
00
10
00
10
00
00
10
00
00
01
01
11
01
11
00
10
01
11
01
00
00
10
10
11
10
00
00
00
00
11
10
10
00
10
00
10
10
00
10
10
00
01
00
10
00
00
10
10
11
01
10
00
11
00
11
01
00
11
11
00
00
11
10
10
10
01
00
00
01
10
10
01
10
00
00
00
01
11
11
00
10
00
11
10
00
00
11
11
10
10
00
00
01
10
11
10
10
11
10
01
10
10
01
10
00
01
00
10
10
00
00
01
00
11
11
00
00
01
00
10
01
00
10
10
00
10
01
10
01
01
11
00
01
00
10
11
01
11
10
00
00
11
00
00
10
00
10
10
00
10
01
00
11
01
11
00
00
10
01
00
10
10
11
10
01
11
00
01
01
00
00
00
10
11
10
10
00
00
10
01
10
01
00
00
01
10
10
00
00
10
10
00
10
10
00
10
00
00
11
10
00
11
11
00
10
01
10
10
10
01
01
11
00
01
00
11
00
11
10
10
00
00
10
11
00
01
00
10
01
10
10
00
00
10
10
00
00
01
11
10
10
11
10
01
00
00
11
00
10
00
01
11
11
01
00
10
00
00
10
10
00
01
00
00
10
10
00
11
10
01
01
10
00
11
10
00
00
10
00
10
10
00
10
00
00
10
00
10
00
00
11
10
00
00
11
00
10
00
00
01
10
00
00
11
10
10
10
10
00
10
01
01
10
11
01
10
11
10
00
01
00
10
00
10
10
00
00
00
10
10
01
11
10
11
01
10
01
00
00
00
10
10
11
00
10
01
01
00
11
11
00
11
00
00
10
10
01
10
00
11
10
11
01
01
00
11
01
00
00
11
10
10
00
01
00
01
10
11
10
01
11
10
11
00
10
10
00
01
00
10
10
10
01
10
10
01
01
10
01
10
00
10
11
00
10
00
00
00
01
10
10
00
11
10
10
10
00
10
00
00
10
11
10
00
11
11
01
01
00
00
00
01
00
11
10
00
10
10
00
01
00
00
10
10
10
01
00
01
00
00
00
10
00
10
10
01
10
10
01
01
00
00
11
10
00
10
01
01
11
00
10
01
10
00
10
01
00
00
00
10
01
00
00
10
10
01
10
10
10
00
01
00
01
10
10
01
00
10
10
11
10
00
00
10
00
00
00
11
11
10
00
00
10
00
11
10
01
10
00
11
10
01
10
10
00
00
10
01
00
00
01
10
01
00
00
10
01
11
00
00
10
00
00
10
00
00
00
00
00
10
10
00
10
10
10
10
10
00
10
10
00
10
11
00
11
10
00
01
00
10
10
10
00
00
10
00
00
01
11
10
11
10
11
11
00
00
11
11
00
01
01
00
10
11
01
00
10
10
00
11
10
10
11
10
10
11
11
01
00
01
00
10
10
00
00
10
10
10
10
10
01
10
00
10
01
10
11
10
00
01
00
10
01
00
10
11
10
10
00
00
10
00
10
00
00
11
00
11
01
10
00
00
11
10
10
01
10
01
00
10
01
00
00
10
11
00
00
10
10
00
10
11
10
01
00
00
10
00
00
00
01
10
11
00
00
11
00
10
00
11
11
00
11
00
10
00
10
01
10
10
00
00
10
11
00
10
10
00
10
00
01
11
10
00
01
10
10
10
10
11
10
10
00
01
10
00
01
00
10
01
01
01
00
11
00
00
00
00
10
10
10
00
10
11
00
00
11
11
10
01
01
01
11
01
00
10
10
00
11
10
01
10
10
11
00
00
01
00
10
01
01
10
01
10
10
01
00
10
11
00
00
11
11
00
10
10
10
01
01
00
00
00
00
00
00
10
10
10
01
01
11
10
10
11
10
01
10
01
00
10
11
00
00
10
10
01
00
11
10
00
11
10
10
11
11
00
00
10
01
00
11
00
11
10
00
10
10
00
01
11
11
01
00
10
00
10
01
00
11
10
11
00
00
11
10
01
00
11
01
10
01
01
11
10
00
00
11
11
00
01
11
10
10
10
00
01
10
10
00
10
11
00
00
10
10
00
10
10
00
00
01
00
00
10
00
10
11
10
10
10
01
10
11
00
00
11
11
10
00
00
10
01
10
00
00
01
11
10
11
11
01
01
01
00
10
00
10
00
00
11
10
01
10
11
00
01
10
10
10
10
10
00
11
10
10
00
00
00
00
11
00
01
01
10
00
01
00
11
10
00
10
10
00
10
11
11
00
00
00
11
10
00
00
10
10
10
00
11
00
11
00
00
01
01
10
00
10
10
10
00
01
01
10
10
11
00
11
00
11
10
10
10
01
00
10
10
00
01
01
00
10
01
10
00
00
10
00
10
00
10
10
00
10
10
01
10
00
00
01
00
10
00
00
00
10
10
10
11
01
00
00
00
00
11
10
00
00
11
00
10
11
10
00
01
11
10
10
11
01
10
00
11
11
01
11
01
01
10
10
10
10
01
11
00
00
11
00
01
11
10
00
01
10
10
10
00
11
11
10
01
11
10
10
10
11
11
00
00
00
10
00
10
00
00
10
10
11
10
10
10
11
10
10
00
00
00
10
11
11
10
01
10
00
10
00
00
10
00
00
00
01
10
00
00
11
01
00
11
00
10
00
00
00
00
10
11
01
11
11
10
11
01
00
10
10
00
00
00
10
11
11
00
10
01
00
11
11
00
00
01
01
11
01
01
10
10
01
11
01
01
10
10
00
10
00
11
11
00
00
00
11
00
11
10
00
01
11
01
11
10
01
00
01
10
00
00
10
01
00
01
00
00
11
11
10
10
10
01
11
11
10
00
00
10
11
10
10
00
01
11
11
00
10
10
11
00
10
10
01
10
11
10
00
01
00
00
10
00
01
10
10
00
10
00
01
00
10
10
00
01
01
11
00
00
10
10
00
01
00
10
11
00
00
10
00
10
01
10
10
01
00
00
01
11
11
11
11
10
11
01
00
10
11
01
00
10
10
11
10
10
10
00
01
10
10
11
10
10
10
00
00
00
11
10
10
00
11
00
11
10
10
00
00
10
10
00
00
10
10
10
00
00
01
10
00
00
00
00
10
10
00
00
10
10
11
00
00
10
10
11
00
00
10
11
00
11
00
00
10
11
00
00
10
10
01
01
11
11
11
00
01
01
10
11
00
01
00
01
10
11
10
00
00
00
10
11
00
11
10
10
11
10
11
00
11
10
10
00
10
10
00
10
00
11
01
11
10
10
11
01
01
11
10
10
00
11
10
00
01
11
01
00
10
00
10
01
11
11
10
00
01
00
11
10
00
01
10
00
10
10
00
00
11
10
00
01
10
10
01
01
00
00
01
10
10
01
11
00
11
00
00
11
10
10
01
10
10
01
00
00
10
10
00
00
00
00
01
01
01
10
10
10
11
10
00
10
10
00
00
11
10
00
10
00
01
01
01
11
10
10
00
01
00
00
10
10
00
01
10
10
01
00
01
01
11
11
01
11
11
10
00
00
11
10
01
01
00
00
01
10
11
10
11
10
01
00
11
10
11
00
10
11
00
00
00
10
00
01
10
10
10
00
00
11
00
01
11
10
00
10
10
00
00
10
10
00
00
11
10
00
10
10
00
00
00
10
10
10
00
10
00
11
01
11
10
10
00
00
11
00
10
00
10
10
10
10
00
01
11
01
00
00
01
10
11
00
10
11
00
10
01
10
00
10
11
01
10
01
01
00
00
10
00
11
11
00
11
10
00
01
00
10
10
00
00
00
10
01
10
10
10
01
00
00
00
10
00
00
01
11
11
00
00
00
00
01
00
11
10
00
10
01
10
01
01
10
10
10
00
01
01
10
11
10
01
10
11
01
00
11
10
00
00
10
10
00
11
11
10
01
00
01
01
10
10
10
01
00
11
00
01
10
11
10
10
00
01
00
11
00
10
00
00
11
00
10
11
00
11
00
00
10
01
00
11
00
00
00
10
10
00
00
10
10
00
01
01
10
00
10
10
10
00
10
00
01
01
10
10
00
10
00
10
10
01
00
11
01
11
10
00
00
00
01
11
01
00
00
10
10
01
01
11
10
00
10
11
00
00
00
10
00
10
10
00
00
10
01
00
01
10
10
10
10
00
00
01
11
10
00
11
01
00
00
00
10
10
00
10
01
10
01
10
11
00
00
10
00
00
00
00
11
10
00
10
00
10
01
01
11
01
00
10
10
00
00
11
10
00
11
01
01
10
10
11
11
00
10
00
11
01
10
10
10
01
11
01
00
10
10
00
00
10
10
00
00
00
10
00
00
11
00
01
00
01
01
00
10
10
01
10
11
01
00
10
10
01
00
11
10
10
10
10
01
10
10
11
10
01
10
01
00
11
10
00
10
10
10
01
00
00
00
11
10
10
10
10
11
10
00
00
11
10
11
10
10
10
10
10
10
01
00
11
11
10
11
10
01
10
11
00
01
00
11
00
11
10
00
10
00
11
10
10
00
00
00
00
01
00
00
00
01
11
11
10
00
00
11
00
11
11
11
10
00
01
00
11
01
10
11
00
10
00
01
10
11
00
00
10
10
01
00
11
10
01
10
11
00
00
00
11
11
01
11
11
00
00
00
00
10
00
01
11
10
00
10
01
11
00
01
11
01
10
10
01
10
10
00
10
10
10
10
00
10
10
00
11
10
10
00
10
10
11
00
11
00
10
01
01
11
10
10
01
01
01
10
10
10
00
00
01
11
00
00
10
10
10
10
00
11
01
01
00
10
00
00
11
10
10
00
01
00
10
10
00
10
10
00
11
11
10
01
01
00
10
10
10
00
10
10
10
01
01
00
00
10
01
01
10
10
00
00
11
00
11
00
11
10
00
11
01
10
10
10
01
10
10
00
00
01
10
00
11
00
11
00
10
10
00
10
01
10
10
10
11
10
01
00
10
10
10
10
00
10
10
00
00
10
10
11
00
00
11
10
11
00
10
00
00
00
10
11
10
11
00
11
00
10
10
11
00
01
11
10
10
00
10
01
10
10
01
01
00
11
01
00
00
11
10
00
11
00
10
11
10
10
10
11
01
11
11
00
11
11
00
00
01
10
00
00
10
00
00
10
00
10
10
10
00
10
00
00
00
10
00
11
11
10
11
10
01
10
10
00
11
00
10
10
01
00
10
00
00
10
10
10
10
00
11
01
10
10
10
10
00
00
00
00
10
01
01
00
00
10
10
11
11
01
00
10
11
00
00
00
10
10
10
10
11
01
10
11
10
01
00
01
00
10
00
00
00
10
11
00
10
01
01
10
00
01
01
00
10
11
10
01
11
11
10
11
00
00
00
11
10
11
00
01
10
10
01
01
01
10
10
10
11
00
01
11
00
00
11
10
00
10
11
10
10
00
11
00
10
01
11
01
01
10
00
01
10
10
00
00
10
11
10
00
00
01
11
11
10
00
10
01
00
11
00
01
10
10
00
10
00
00
10
11
01
00
00
10
00
11
11
01
00
00
10
11
00
01
00
11
11
10
00
10
00
01
11
10
00
00
01
00
00
10
10
10
00
10
10
10
00
00
10
00
01
10
00
10
00
10
10
10
10
00
00
01
11
00
00
10
10
01
11
10
01
10
10
00
00
01
10
00
11
00
00
10
10
00
11
00
11
11
01
00
01
10
11
11
01
00
10
10
11
00
00
01
10
10
00
11
01
10
00
01
01
01
10
10
10
01
11
11
00
00
00
11
10
10
11
00
11
00
00
00
00
10
11
10
00
01
11
00
11
11
01
00
01
10
00
01
10
10
10
00
00
01
10
01
01
01
10
00
00
01
00
01
10
10
00
00
10
11
00
00
00
00
00
10
00
10
10
00
10
10
01
00
11
01
00
01
10
00
10
10
00
00
00
00
01
10
10
10
10
00
00
10
00
10
10
10
10
00
10
10
10
00
10
00
00
01
11
11
10
00
00
00
01
10
11
10
00
00
00
00
10
11
00
10
11
01
00
11
00
00
01
00
10
10
00
00
01
10
01
00
11
10
01
11
01
11
11
10
00
10
10
01
00
00
10
11
00
00
11
10
00
10
00
11
10
00
10
11
11
10
00
01
10
01
00
10
01
11
10
00
00
00
00
00
11
11
11
00
01
10
10
01
01
10
01
00
11
00
10
10
00
01
10
11
00
01
10
10
10
00
10
11
10
01
00
01
01
10
01
00
10
01
10
10
00
10
01
00
10
10
00
00
11
00
11
10
10
00
00
00
11
10
11
00
00
10
01
01
00
00
11
00
01
11
00
00
10
10
11
11
00
01
01
10
10
01
01
10
10
00
00
10
00
00
10
10
11
11
00
11
11
00
00
00
00
00
10
11
10
00
00
11
00
00
01
10
10
00
11
10
00
01
10
10
00
01
11
10
01
00
11
10
11
10
10
10
00
10
10
01
11
00
00
01
11
11
10
11
10
00
01
10
10
10
11
10
10
00
00
00
10
00
11
11
10
01
01
10
01
11
10
11
01
11
10
00
00
10
01
01
00
10
10
00
01
00
10
01
10
10
00
01
01
10
00
01
00
00
10
10
11
00
00
10
00
11
11
10
00
11
11
00
11
10
00
01
00
01
00
10
10
00
01
00
11
01
10
00
00
10
10
10
11
01
10
10
00
01
10
00
00
00
10
00
00
10
00
01
10
10
01
00
11
10
01
10
00
00
10
01
01
01
00
10
10
11
10
00
10
10
00
01
00
11
10
10
00
10
00
01
10
11
00
11
01
11
11
00
00
10
10
00
01
10
10
11
10
10
10
11
00
00
00
01
10
10
10
10
01
01
10
11
10
00
00
11
11
01
10
11
10
11
00
10
01
00
11
11
10
10
00
10
10
01
00
01
10
11
00
01
10
11
01
11
01
00
10
10
00
11
00
00
10
00
11
00
01
10
10
01
10
01
10
00
00
01
11
01
00
10
00
00
01
11
00
00
10
00
00
11
10
10
00
11
11
00
10
10
10
10
10
00
00
00
10
01
10
00
01
11
01
10
11
00
00
10
10
11
01
00
11
11
01
10
00
00
01
10
11
00
10
10
10
10
00
11
01
11
01
01
10
10
10
00
01
10
10
10
10
01
10
00
01
00
00
00
10
00
01
00
10
00
00
10
10
00
00
01
10
01
00
00
10
10
10
10
10
11
11
10
01
01
00
10
11
11
00
00
01
11
10
10
11
00
00
10
00
00
11
10
10
00
00
10
01
10
10
00
00
10
00
10
10
00
01
00
10
11
11
00
10
01
00
10
10
10
01
11
01
01
10
00
00
10
10
10
11
00
00
01
00
00
00
01
00
10
11
01
00
10
10
11
00
00
11
00
00
10
00
01
10
00
00
00
11
10
11
01
11
00
10
01
11
10
00
00
00
10
11
10
00
11
11
01
00
11
10
10
10
00
00
11
10
00
10
00
00
01
00
11
11
10
10
01
00
00
10
11
00
00
00
10
10
00
11
00
11
11
00
00
01
10
11
10
11
11
10
01
01
00
10
00
00
10
00
11
11
10
00
00
10
00
11
00
11
10
00
11
00
10
10
00
00
00
10
10
10
00
01
01
11
00
11
10
00
11
00
00
00
10
11
10
00
01
01
11
10
01
00
11
00
10
00
00
10
11
10
10
00
10
01
10
00
00
10
00
10
10
00
10
11
10
11
10
10
00
10
00
01
00
10
10
01
00
11
01
01
01
01
00
01
11
00
01
10
11
01
01
11
01
01
10
00
01
00
11
10
00
11
01
00
11
00
00
01
01
10
10
00
00
00
10
00
11
10
10
01
00
01
00
01
10
00
00
00
11
10
00
10
00
11
00
11
11
11
00
01
10
01
11
10
01
11
10
00
10
00
10
00
10
10
00
00
10
11
00
10
00
10
11
00
00
01
00
11
10
00
00
11
11
01
00
10
01
01
00
01
10
11
11
00
00
11
10
11
10
00
10
10
00
01
10
00
11
10
10
00
10
00
00
00
11
00
00
11
10
00
11
00
11
11
00
11
00
10
01
11
11
00
10
10
10
01
00
01
10
10
00
00
00
00
10
10
00
00
11
11
00
10
00
11
11
10
00
00
10
10
11
00
11
11
00
11
10
00
01
10
11
01
00
10
10
00
00
10
11
10
00
01
00
11
10
01
10
11
10
11
01
00
00
10
10
01
10
01
10
10
10
10
10
01
10
10
01
11
00
00
10
10
01
00
10
00
10
10
01
11
01
01
10
01
10
11
10
00
01
10
01
11
11
00
10
11
00
11
10
10
01
10
10
11
00
01
10
10
00
00
10
00
00
11
10
00
10
10
11
00
00
10
00
00
00
10
00
00
11
00
11
10
00
10
11
01
11
00
00
00
10
10
00
00
01
01
10
10
00
11
10
10
10
10
01
01
00
10
00
00
01
11
10
01
01
10
01
01
10
10
11
10
10
10
00
00
11
10
00
00
10
01
11
01
00
00
00
01
00
10
00
10
00
00
10
00
00
00
01
11
00
00
00
00
11
10
01
10
11
00
00
10
10
00
00
10
00
01
00
10
01
00
00
01
10
10
10
01
10
10
11
00
00
10
10
00
00
10
10
10
01
00
11
11
01
00
10
00
00
00
10
00
01
11
11
00
01
00
10
00
11
11
01
11
11
01
00
10
00
01
00
10
11
00
01
01
00
11
11
00
00
10
10
00
00
10
00
10
10
00
10
01
01
10
01
00
10
10
10
11
01
10
10
00
10
01
00
00
10
10
00
10
01
11
11
00
01
00
10
10
00
00
10
10
10
10
10
00
11
11
11
00
01
00
10
11
01
10
11
00
00
11
11
11
10
00
00
11
11
00
00
10
11
00
00
00
10
11
00
00
01
10
00
00
00
10
00
00
10
01
00
11
00
01
00
10
00
10
11
00
00
10
10
10
00
10
11
00
01
10
10
01
10
00
01
00
10
10
01
11
00
10
00
00
00
11
10
01
00
00
00
10
01
10
00
01
11
10
10
11
10
00
00
11
01
10
01
01
11
11
01
10
01
01
10
11
01
00
10
00
01
10
01
11
11
01
10
11
00
01
10
10
00
01
10
00
00
00
00
10
10
10
11
11
00
00
11
10
01
00
11
00
10
10
10
10
00
10
00
01
10
01
10
10
11
00
10
10
10
00
10
00
00
11
10
11
01
01
10
10
01
10
00
00
10
00
10
10
01
00
10
00
11
00
01
11
00
11
00
01
10
10
01
11
10
01
10
10
00
00
00
11
10
01
00
10
01
00
01
00
00
10
01
11
10
00
01
01
11
00
01
10
10
10
00
10
10
00
11
10
00
01
01
10
11
10
00
11
11
00
00
01
01
01
10
10
01
00
10
00
10
10
01
00
10
00
00
00
10
11
00
01
10
11
10
10
00
00
11
11
00
00
10
00
00
10
10
10
01
10
10
10
00
00
10
00
01
10
00
00
01
11
00
10
00
00
11
00
10
00
10
10
00
10
10
10
10
01
10
10
01
11
10
01
00
00
01
10
10
00
01
10
00
00
00
00
10
00
01
11
10
10
00
11
11
11
00
00
00
10
11
10
10
00
11
00
00
10
00
10
10
00
10
00
01
00
01
00
10
01
00
00
11
00
00
10
00
11
10
00
00
11
01
01
11
10
00
01
00
01
10
11
10
10
01
10
10
11
10
00
00
11
01
01
10
11
10
00
11
00
00
11
00
00
00
10
00
10
00
00
00
10
01
01
10
11
10
10
10
00
00
10
10
10
00
01
00
11
01
10
10
10
10
00
00
10
11
11
01
00
10
00
01
11
11
00
00
11
10
01
10
11
00
11
10
01
10
10
01
01
10
00
11
10
10
11
00
11
11
10
01
00
10
10
11
11
10
00
00
00
01
10
11
11
01
10
10
00
10
10
00
00
10
11
01
11
10
10
10
10
11
10
00
01
00
00
10
11
00
10
11
11
10
00
10
00
00
11
11
00
10
11
10
10
01
10
10
00
01
10
10
01
00
10
11
10
11
10
00
00
10
10
00
10
11
00
01
00
01
10
00
01
00
10
10
10
00
10
10
01
00
01
00
10
00
01
01
11
10
00
01
11
10
11
10
01
01
00
00
00
11
00
00
10
10
00
00
01
11
00
00
10
10
10
00
10
01
10
10
00
00
10
11
00
10
10
00
10
01
00
10
10
01
10
01
00
01
10
11
11
10
00
00
10
10
11
10
01
01
01
00
00
01
11
00
00
10
00
11
10
10
00
01
01
10
11
00
00
10
10
00
10
00
01
10
11
10
01
00
01
11
01
00
10
00
10
10
00
00
10
10
01
01
00
10
00
00
00
11
11
11
10
10
11
01
10
00
10
01
00
00
00
10
10
10
01
11
10
00
10
00
10
00
11
10
01
01
10
01
11
10
01
00
11
10
00
00
10
00
00
10
10
00
01
01
10
01
10
00
10
00
00
01
00
11
00
10
10
01
10
10
00
10
00
00
01
11
11
11
11
00
11
10
01
10
00
10
10
00
00
11
10
01
01
10
10
10
11
00
01
00
10
10
01
10
11
10
00
10
01
01
11
10
00
10
01
00
00
10
11
00
01
00
10
11
01
10
01
11
10
00
01
11
01
11
10
00
01
00
11
10
01
01
00
00
11
10
00
10
10
00
00
10
01
10
11
00
00
10
11
00
00
10
10
00
00
10
10
10
00
00
10
10
11
10
01
00
00
00
11
10
11
00
00
10
10
11
10
00
00
11
01
00
01
11
11
00
01
10
01
11
01
00
10
00
00
01
10
10
00
00
01
00
11
00
10
11
00
00
10
10
00
01
10
10
10
11
01
10
01
00
10
01
01
00
10
00
10
01
10
00
01
11
10
01
00
11
10
11
01
00
00
10
10
01
11
11
11
01
10
00
00
00
10
11
00
01
00
01
10
11
10
00
11
00
01
10
11
00
00
10
10
01
00
11
00
10
10
01
10
10
10
00
11
00
10
01
00
01
11
00
11
00
11
01
00
11
10
01
01
11
10
11
10
00
10
11
00
01
10
10
00
10
10
00
11
00
10
11
11
00
01
10
00
01
00
11
10
00
00
10
11
11
00
00
10
00
11
10
10
01
00
10
01
01
00
10
11
11
00
11
00
00
01
10
10
00
11
01
00
10
10
00
00
00
10
00
10
00
00
10
00
10
01
01
10
00
00
11
11
11
01
00
00
00
10
10
11
10
00
00
10
00
01
10
00
10
00
10
10
00
10
00
01
10
10
10
11
10
11
01
01
10
10
00
00
01
10
01
11
11
11
10
00
00
00
10
01
11
00
11
11
00
01
10
00
10
01
00
10
10
00
00
10
00
10
00
01
10
00
01
10
11
11
10
00
00
10
00
11
11
11
01
00
10
00
10
00
00
10
10
00
01
10
10
00
10
01
01
10
01
00
10
00
11
00
10
10
01
10
11
00
10
10
00
10
00
00
01
11
10
00
10
00
00
01
10
01
00
10
00
10
11
10
01
11
00
00
11
01
11
10
01
10
10
01
00
10
01
10
11
00
00
00
11
11
00
01
10
00
01
10
10
00
10
10
10
00
00
00
11
01
10
11
11
11
00
10
10
10
10
11
01
01
11
00
00
10
11
10
00
00
10
01
10
00
01
11
00
01
10
10
01
00
10
00
10
11
10
10
00
00
10
10
00
00
10
01
01
00
00
11
11
01
01
10
01
10
00
10
00
00
10
10
10
10
00
01
00
00
01
10
10
10
00
00
00
01
10
10
11
10
10
01
11
10
01
01
00
00
00
11
10
11
01
00
00
10
00
01
00
00
00
10
00
00
00
11
00
01
11
00
10
10
00
10
11
01
10
00
00
10
10
00
00
00
00
11
00
01
00
01
00
10
00
00
01
11
10
00
11
10
10
01
00
11
10
00
10
01
01
11
01
00
01
10
00
00
00
10
10
10
10
10
10
01
10
01
00
01
10
01
11
10
00
10
10
01
01
00
10
11
01
10
11
01
10
10
01
10
10
01
00
10
10
01
00
00
00
11
01
01
11
00
10
00
00
10
10
01
01
10
11
01
01
10
01
11
11
10
00
11
10
01
00
10
10
10
00
00
00
11
10
00
00
10
00
11
10
00
11
11
01
01
10
11
10
01
00
10
10
11
01
00
01
00
10
00
00
00
00
00
10
00
01
00
00
00
10
00
01
01
10
11
00
10
01
00
11
10
01
00
00
10
00
10
11
10
10
01
10
10
10
00
00
00
11
01
11
10
01
00
10
00
00
10
11
11
01
01
11
10
11
10
00
11
10
00
00
10
10
00
00
11
10
00
01
11
10
00
10
00
00
00
11
11
00
10
00
00
00
10
10
10
01
11
10
00
01
10
01
00
11
01
00
00
10
00
01
11
11
10
10
10
10
01
00
01
10
00
00
10
11
01
00
11
10
11
10
10
11
00
11
10
01
01
00
00
01
00
11
01
00
10
10
00
10
01
01
00
11
11
00
00
10
11
01
00
11
10
11
10
11
00
10
11
00
01
10
10
00
01
00
00
10
10
10
10
00
11
10
00
10
00
11
00
00
10
01
00
10
01
00
00
11
01
00
10
00
10
10
00
01
01
01
11
11
00
00
10
10
00
00
10
10
10
00
10
00
00
10
10
00
10
01
00
00
00
10
10
01
01
00
10
10
10
01
10
11
10
00
00
01
11
11
10
01
01
11
00
10
10
00
01
10
10
01
10
10
00
10
00
01
00
10
11
00
00
00
11
00
00
00
10
10
10
10
00
00
10
10
11
10
10
00
00
00
01
10
00
00
11
00
11
00
00
10
10
00
10
10
00
10
01
01
10
11
10
00
10
10
00
01
10
01
01
10
00
00
10
01
11
10
01
10
10
10
00
00
10
00
00
11
11
00
00
10
00
10
10
01
01
00
01
01
00
11
00
10
00
10
10
01
00
01
11
11
00
11
00
00
10
11
00
10
10
01
01
10
10
10
00
10
10
00
00
00
00
00
10
00
01
11
11
01
10
10
11
00
00
10
10
00
00
11
10
00
01
01
11
01
10
10
10
11
00
00
10
10
00
10
00
01
10
01
11
00
01
11
11
00
01
10
10
10
00
10
10
01
00
01
11
01
00
00
00
10
11
00
00
10
10
10
01
11
10
01
00
01
00
10
10
00
00
11
10
11
00
00
01
00
10
10
10
10
00
00
10
10
10
00
11
00
00
10
01
10
00
10
01
00
11
11
10
00
00
10
11
10
00
10
00
00
10
11
00
00
10
11
11
00
00
10
00
01
00
10
00
00
00
01
00
10
01
10
00
10
00
00
10
00
11
10
01
00
01
00
00
11
00
10
10
10
01
11
00
10
10
00
10
00
01
10
11
00
10
00
10
01
10
00
00
10
00
10
10
10
00
00
00
00
00
01
00
01
00
01
10
10
01
00
11
00
01
01
11
10
00
10
10
11
00
00
10
10
11
01
11
10
10
10
00
01
00
11
10
01
11
00
00
00
10
10
10
01
00
00
11
10
10
01
10
11
01
00
10
00
00
00
11
10
11
00
01
10
10
00
00
00
00
10
01
11
10
01
10
01
10
10
00
00
10
10
11
10
01
00
00
01
00
01
01
01
11
11
11
00
11
10
01
00
11
01
00
00
10
11
00
01
10
10
01
10
00
10
11
00
00
10
00
00
10
10
10
00
01
10
10
00
10
00
01
01
11
10
10
11
00
11
10
00
01
00
10
01
00
11
10
00
01
10
10
01
10
10
11
10
00
00
00
01
10
00
01
00
00
10
10
10
10
00
00
00
01
10
00
10
11
01
11
11
01
00
10
00
01
11
11
11
00
10
10
01
10
10
01
00
11
00
00
01
11
10
01
10
10
00
10
10
10
00
00
00
01
01
00
10
10
00
00
00
10
00
01
10
00
11
00
00
10
00
10
11
10
10
01
10
10
10
10
00
00
10
11
11
10
10
11
10
00
10
11
01
10
00
10
01
00
10
00
10
00
01
10
11
00
10
11
00
10
00
10
10
10
00
00
00
01
11
10
01
10
00
00
10
10
01
01
10
10
10
10
00
10
00
00
00
00
01
01
00
10
00
10
11
11
01
11
10
00
00
11
01
00
11
10
00
10
00
10
10
01
00
10
11
01
01
00
10
00
00
10
10
11
01
00
00
00
10
01
10
11
11
11
00
10
11
01
10
10
00
01
00
00
10
10
10
00
00
10
00
01
01
11
11
00
11
10
10
10
01
01
10
00
11
11
11
00
01
00
01
00
00
00
10
10
01
01
10
01
10
00
11
11
01
10
00
00
00
10
11
00
10
11
10
00
10
01
00
00
00
10
11
01
00
00
01
11
00
00
10
11
00
00
11
00
00
11
01
10
01
11
11
00
10
01
01
11
01
00
10
11
00
00
01
10
11
10
00
00
11
00
00
10
11
01
01
01
11
11
00
00
00
00
10
10
01
10
00
10
11
10
00
11
11
00
10
10
01
00
00
00
01
11
10
11
10
10
10
10
10
00
00
10
10
00
11
10
00
00
11
10
00
10
01
10
00
10
10
00
00
00
01
00
10
01
01
10
00
01
10
10
01
00
00
01
11
11
11
00
01
00
01
01
10
11
00
11
00
10
10
10
01
10
01
00
10
11
10
00
00
00
00
10
10
00
00
10
10
00
01
10
11
00
01
10
11
11
10
00
00
00
11
00
01
00
01
10
10
00
00
01
10
10
00
10
00
01
10
00
10
10
01
11
01
10
10
10
10
01
10
10
00
01
00
01
00
00
00
00
10
10
10
00
01
00
00
10
10
11
00
01
01
11
01
00
11
01
10
10
01
00
10
00
00
11
10
00
00
01
10
00
10
11
10
00
00
00
00
10
10
00
00
10
10
11
00
00
10
11
10
00
00
10
10
01
11
11
00
11
01
00
10
00
10
10
00
00
00
01
10
10
01
00
10
11
10
00
11
10
10
10
10
00
01
10
10
11
10
10
11
10
00
00
11
01
10
11
11
11
00
11
00
00
11
11
01
01
10
10
00
10
00
10
10
00
10
10
00
11
01
10
10
00
01
01
00
10
11
00
11
11
01
01
00
10
10
00
11
01
11
10
11
00
01
10
00
01
01
11
10
00
00
10
11
01
10
11
10
01
00
10
00
10
01
00
10
00
00
01
10
01
00
00
10
01
10
10
00
10
10
00
00
10
11
11
01
01
00
10
10
01
11
10
01
00
10
10
00
11
01
10
10
10
00
00
00
10
10
10
11
11
00
00
11
10
00
10
00
10
01
10
10
10
00
10
11
10
00
00
10
10
10
11
00
11
11
00
10
00
01
00
00
00
11
11
00
10
01
10
10
01
11
11
11
10
01
00
10
01
01
00
00
11
10
11
10
00
11
11
01
10
00
10
11
01
00
10
11
01
11
10
00
01
00
10
10
00
00
01
11
10
10
11
00
10
01
00
10
00
00
01
10
11
10
11
10
01
01
11
00
00
00
10
11
00
00
11
01
11
01
10
11
10
01
01
11
11
11
01
00
11
10
10
01
01
11
10
00
01
10
11
01
10
11
00
11
11
10
00
00
00
00
00
10
10
10
00
00
00
10
00
00
00
10
10
10
01
00
11
00
10
00
00
00
11
10
01
10
01
00
01
10
10
00
00
01
11
00
10
00
11
10
01
11
10
00
10
10
10
10
01
10
00
00
11
11
10
10
00
00
10
10
00
01
00
01
00
00
10
10
11
00
11
10
11
01
01
00
11
10
00
00
10
10
00
00
00
01
00
00
10
00
10
00
00
01
10
01
01
11
00
00
00
00
11
01
00
11
10
10
01
10
01
00
10
00
10
11
00
01
10
11
00
10
10
10
00
01
10
10
00
00
11
10
00
10
10
00
00
10
10
10
10
10
01
10
10
01
00
00
00
01
11
01
01
10
10
11
10
00
01
00
11
11
00
01
01
11
11
10
00
00
11
10
00
00
10
10
11
00
01
10
10
01
10
01
00
10
10
10
10
11
10
01
00
00
00
01
10
01
10
11
10
00
01
00
11
10
10
00
00
10
01
00
01
01
01
10
10
10
11
00
00
10
10
00
00
10
11
00
01
11
11
00
11
01
01
11
01
00
10
00
01
10
11
00
10
11
11
01
10
00
00
11
00
01
10
10
01
00
01
10
10
00
00
10
11
01
00
11
00
10
10
01
10
11
00
01
01
00
10
11
00
01
11
10
10
00
00
11
00
00
10
10
00
00
00
10
01
00
00
10
01
11
10
01
10
00
11
10
00
00
11
11
10
00
00
10
10
10
10
00
00
00
01
00
11
10
01
10
01
10
11
10
00
00
11
01
00
11
01
00
00
11
10
11
11
01
01
10
10
00
01
10
00
11
10
11
01
01
10
11
00
00
10
11
01
00
01
10
00
00
10
10
10
01
00
11
01
01
10
11
00
01
00
10
10
01
11
00
10
11
00
00
10
10
00
11
10
10
10
00
10
10
01
01
11
10
10
01
00
00
10
11
11
00
01
00
10
00
10
00
10
01
00
00
10
00
01
10
10
10
01
10
11
10
00
10
10
00
10
10
00
01
00
01
10
10
10
00
11
00
00
10
10
11
10
00
00
11
10
10
11
11
00
11
10
10
00
10
00
00
00
10
10
01
10
10
00
00
10
10
10
00
00
10
10
11
10
10
00
10
10
10
10
00
00
00
01
10
00
10
01
01
01
00
10
01
10
10
10
00
00
10
10
10
00
01
00
10
01
01
00
01
10
10
01
01
11
10
11
00
11
10
10
01
00
11
11
00
00
10
00
00
00
11
11
01
11
00
01
10
11
00
01
10
11
10
00
10
10
01
00
01
10
11
00
11
10
00
01
11
10
10
10
01
10
00
00
10
10
00
00
00
11
00
10
11
00
01
00
00
01
11
11
10
00
00
00
11
00
10
10
11
10
01
11
10
10
00
10
10
00
00
10
10
10
10
10
00
10
10
00
11
10
01
01
11
01
01
00
11
00
01
10
10
00
00
10
10
11
00
01
11
00
10
01
00
10
10
10
00
10
10
00
00
10
10
10
10
00
00
00
10
00
10
01
01
01
11
11
01
00
00
10
11
10
00
01
01
11
01
00
10
10
11
00
00
11
11
01
00
01
01
00
10
11
11
01
00
10
10
00
01
10
00
00
10
00
10
10
10
00
00
00
10
11
10
00
10
10
00
10
11
00
00
01
01
00
10
00
11
01
10
10
00
01
01
00
10
00
01
10
10
00
00
11
01
00
11
00
01
00
00
10
01
01
10
00
01
10
11
01
00
00
11
11
10
11
10
00
11
10
00
01
11
11
00
01
10
00
10
10
11
00
00
10
01
01
00
01
11
11
10
11
00
00
00
10
01
00
10
11
10
01
01
10
01
10
01
10
10
00
10
10
10
11
00
10
00
10
10
10
00
01
10
00
11
00
11
01
11
01
11
10
11
10
11
11
01
00
00
00
10
00
10
00
00
10
01
10
11
10
01
10
11
01
00
01
00
00
10
00
11
11
10
01
10
00
01
01
11
11
00
00
00
11
11
01
10
10
00
00
00
10
10
01
10
00
10
10
10
01
00
10
01
00
00
10
10
00
10
10
00
10
10
10
00
10
00
10
11
11
10
10
10
00
00
11
10
10
00
01
11
00
00
00
11
00
00
11
00
10
11
00
11
11
00
01
00
11
10
10
01
10
10
01
10
11
00
00
10
00
00
10
00
01
10
11
10
10
00
10
00
00
00
10
01
00
10
10
00
00
10
00
01
11
01
00
10
11
10
10
10
10
00
10
10
00
10
01
00
11
00
10
10
00
10
00
10
10
00
00
11
10
01
11
11
00
10
10
01
00
10
00
11
01
00
10
11
11
01
10
00
00
11
10
01
10
10
10
00
01
11
10
01
01
00
10
11
00
10
11
10
00
00
10
10
00
00
11
11
00
00
01
01
10
00
01
11
11
00
01
10
01
00
00
00
11
10
11
11
11
01
00
10
00
00
11
11
01
00
10
11
01
11
00
01
10
01
01
10
10
01
10
11
10
01
01
00
11
10
01
10
10
01
10
10
01
01
10
01
10
00
00
00
00
11
10
00
00
10
10
11
00
00
10
00
10
11
10
00
10
01
11
10
10
11
00
10
10
00
01
10
10
11
10
00
10
01
10
10
10
01
00
10
00
01
01
10
00
10
10
00
00
11
11
10
00
00
00
00
01
10
10
00
00
00
01
00
01
10
11
10
01
10
11
00
00
01
10
00
00
00
10
10
00
01
11
00
00
11
10
00
01
01
01
01
10
00
00
10
10
11
11
00
01
01
00
01
00
10
10
00
00
01
00
01
10
01
10
11
00
01
01
11
10
00
10
10
11
10
01
01
10
11
00
00
00
00
10
11
10
01
11
00
00
00
01
01
10
10
10
10
01
10
10
01
11
10
00
10
11
10
11
00
00
01
00
01
10
00
00
11
11
00
10
11
11
00
10
11
11
00
01
01
00
10
10
00
00
01
10
11
00
01
01
01
01
00
10
00
10
11
11
11
01
00
11
10
10
00
10
10
10
01
01
10
11
01
00
01
10
10
00
01
10
00
00
10
10
10
00
00
00
10
10
00
01
10
00
00
00
00
10
11
10
10
00
01
10
00
10
11
00
11
00
00
00
10
10
00
10
11
00
01
10
00
10
10
00
01
01
00
11
10
11
00
00
10
00
10
11
00
10
00
10
01
10
10
00
00
10
00
00
11
00
11
10
11
00
10
11
00
10
10
01
10
01
00
00
10
11
10
11
00
00
10
11
00
11
01
10
10
00
10
00
00
01
10
11
01
11
01
10
01
00
00
10
00
00
00
11
10
10
11
11
01
00
10
10
01
00
00
00
11
10
01
11
10
01
00
00
10
00
01
00
10
10
00
10
11
00
01
01
01
11
00
00
11
11
01
10
10
00
00
11
11
01
00
01
00
10
01
00
10
10
10
11
00
00
11
11
00
00
00
10
11
10
00
10
10
11
11
11
11
11
01
11
00
10
10
01
00
00
00
10
10
01
00
11
10
10
00
00
00
10
01
01
00
01
10
11
10
10
00
10
00
00
00
10
00
10
10
00
10
00
10
00
10
10
00
11
00
11
00
10
01
00
01
01
00
10
10
00
10
01
00
01
00
00
10
11
00
00
11
11
00
10
01
00
00
10
10
10
11
10
01
11
10
10
10
00
01
00
10
00
00
00
01
00
10
01
11
10
10
01
10
00
01
11
10
10
01
00
00
10
10
01
00
10
10
10
00
00
10
11
01
01
00
10
00
10
10
00
11
00
11
01
11
11
11
11
00
10
10
10
00
01
00
00
00
01
11
10
10
10
00
10
10
11
11
11
00
10
10
00
00
00
10
01
00
10
10
00
10
00
00
00
10
11
11
11
00
01
00
00
00
10
10
01
10
11
00
00
10
10
01
00
00
10
10
11
11
00
00
00
00
10
11
11
01
01
11
00
01
10
10
00
00
10
00
00
10
00
11
01
11
01
11
10
10
00
00
10
10
00
01
10
00
00
10
11
01
10
11
00
10
11
10
10
00
10
10
11
00
11
01
11
10
10
11
00
01
00
10
10
10
10
00
00
10
00
11
11
10
01
10
00
00
00
10
01
10
10
00
00
00
11
01
01
00
11
00
00
11
11
01
00
01
11
01
01
11
10
10
00
00
10
10
01
10
11
10
00
11
10
01
10
00
00
00
11
11
11
00
11
10
10
11
10
01
10
10
00
10
11
01
01
10
00
01
10
10
10
10
00
00
11
10
11
01
01
00
01
00
00
10
11
10
10
01
00
00
10
10
10
10
10
00
01
00
00
11
01
00
00
10
10
10
11
10
00
00
00
00
00
10
11
10
00
10
01
00
10
00
00
00
10
00
10
10
00
00
10
01
00
10
10
01
10
10
01
00
01
11
11
10
00
00
11
10
11
10
01
10
00
10
00
00
10
00
11
00
00
10
10
00
10
00
01
11
01
11
10
10
00
01
10
00
10
10
00
10
10
01
10
00
10
10
00
00
11
11
11
00
10
01
00
00
00
00
11
10
10
00
10
10
01
01
11
01
10
01
00
10
01
00
10
11
11
00
00
00
10
10
10
10
00
00
01
10
11
10
10
00
11
00
00
00
00
11
10
11
10
00
10
01
00
11
10
00
10
00
00
00
10
11
10
01
00
01
10
10
10
10
01
01
00
11
01
00
11
11
01
10
00
01
01
00
11
11
01
00
11
01
00
11
10
10
11
10
00
00
11
01
00
00
01
00
10
10
10
01
11
10
11
00
00
11
10
00
10
10
00
01
00
11
10
00
10
00
11
00
01
10
10
11
00
00
10
10
00
10
10
00
10
10
10
10
11
00
10
10
00
00
00
10
10
00
01
00
10
10
10
00
00
00
10
01
01
01
01
10
11
01
01
10
10
00
10
10
01
01
10
10
10
01
11
01
10
00
01
10
10
01
00
10
01
11
10
00
10
11
01
10
11
01
00
11
11
11
11
00
00
11
11
00
00
00
10
10
00
10
01
11
10
10
00
00
11
00
00
01
00
00
10
00
00
11
00
00
10
10
00
00
11
01
10
10
10
10
00
10
00
00
00
11
10
11
01
11
01
10
10
00
11
11
10
01
00
10
00
00
11
10
00
10
01
01
00
00
10
00
10
01
01
11
10
10
00
01
00
00
10
00
00
10
10
00
11
00
00
11
00
10
10
10
10
00
00
00
10
10
11
11
00
01
00
10
11
10
10
00
10
10
00
00
01
10
01
01
10
10
11
10
10
10
11
00
01
00
00
10
10
00
11
00
10
10
01
00
01
10
10
10
00
10
10
11
00
01
01
01
00
10
01
10
11
00
01
00
00
11
10
11
01
11
10
00
11
10
00
00
10
10
01
10
00
00
00
00
00
11
00
11
00
11
00
01
00
11
00
01
10
10
01
01
01
10
11
10
10
10
10
00
01
10
10
00
10
00
00
11
10
01
00
00
01
10
01
10
00
10
00
10
11
01
11
10
00
10
01
00
00
00
10
10
00
10
01
11
10
00
10
00
10
10
01
11
00
11
10
01
00
01
11
00
00
10
00
01
00
10
11
10
10
01
10
00
00
10
10
10
10
10
00
11
10
00
00
01
01
01
00
11
00
11
11
10
00
00
10
11
11
00
11
01
01
10
01
01
01
10
11
01
10
00
01
10
10
11
00
11
10
01
00
01
11
00
10
11
11
00
10
10
01
01
00
11
11
01
00
10
10
10
00
00
00
01
00
10
10
00
00
00
00
10
10
10
00
10
01
11
10
10
10
11
00
00
11
10
00
00
11
11
00
11
00
11
10
10
10
00
10
11
10
00
00
00
01
10
10
01
00
10
11
10
01
10
00
01
10
10
10
10
01
10
01
10
10
00
01
01
01
00
10
00
01
01
10
01
10
10
11
10
01
10
10
00
00
00
00
10
10
11
01
10
11
00
10
10
00
00
00
10
10
00
10
01
00
01
00
00
01
00
10
11
00
00
00
10
10
11
11
10
11
01
00
00
10
01
00
01
10
10
00
11
11
01
10
10
10
01
10
10
00
00
00
01
10
10
10
11
00
11
11
01
01
00
00
10
00
10
10
01
10
11
00
00
01
01
10
00
10
11
00
10
10
10
00
00
10
10
10
01
01
11
11
10
10
10
10
00
10
10
00
01
10
00
00
10
10
11
11
00
10
00
00
11
00
00
10
00
10
01
10
11
10
00
10
00
00
00
11
10
10
10
10
11
00
11
01
10
10
10
10
00
01
00
00
01
00
01
11
00
10
11
00
00
01
01
10
11
01
00
01
10
10
11
01
01
00
10
00
10
00
00
10
00
10
10
11
01
00
01
01
10
10
10
10
00
01
10
00
10
00
11
11
10
00
10
00
10
10
01
00
10
10
01
00
00
10
11
01
00
00
00
00
10
11
10
00
01
10
10
00
10
10
00
00
10
00
10
11
00
00
10
10
10
01
10
01
00
10
11
10
00
00
10
10
10
00
00
10
10
00
00
10
10
11
01
01
11
10
10
10
10
01
00
10
11
11
11
11
01
11
11
00
10
00
10
00
00
10
11
00
10
11
01
10
10
10
00
10
01
01
11
00
00
10
00
01
10
00
00
10
00
00
10
10
00
10
10
01
10
11
11
00
01
10
10
01
10
11
11
11
01
11
01
01
11
01
01
10
10
11
00
00
10
11
00
01
10
00
01
10
00
00
11
11
00
11
01
11
01
10
10
01
11
11
11
00
00
10
01
00
00
10
10
10
11
10
11
00
00
10
10
00
00
00
10
11
01
01
00
00
00
10
01
11
10
10
00
01
00
11
00
00
10
00
10
10
01
01
00
00
10
10
00
00
01
10
00
00
11
10
00
00
11
10
01
01
00
10
10
00
00
10
10
01
10
00
11
10
11
11
00
10
10
00
01
00
11
11
00
01
11
10
10
10
00
00
00
10
10
10
00
10
10
01
00
10
10
01
10
10
11
00
00
01
10
00
01
10
00
11
10
11
11
11
11
01
11
00
01
10
10
10
00
10
10
00
00
01
01
00
10
10
10
01
00
10
00
00
11
10
10
01
10
11
00
11
00
11
10
00
10
00
10
00
01
11
11
10
10
10
11
00
10
01
00
00
10
11
10
10
00
00
11
10
00
00
10
00
10
10
01
00
00
10
01
10
01
11
00
10
10
01
00
01
11
10
00
00
11
10
10
01
00
01
01
00
00
10
01
10
11
00
01
10
01
01
10
01
01
01
00
00
10
10
01
00
10
10
11
00
11
10
00
10
01
01
11
11
00
10
10
11
10
10
00
00
10
11
11
01
10
10
00
00
11
10
00
10
01
10
00
00
11
00
01
00
10
00
01
10
10
10
00
01
10
10
00
01
01
00
10
10
11
00
00
10
10
10
00
00
00
10
10
00
01
00
00
11
00
00
00
10
01
00
10
10
11
10
01
00
10
11
00
10
00
01
01
00
00
10
10
01
11
10
11
10
00
00
01
01
11
00
01
11
01
10
10
00
01
10
11
00
11
10
00
10
11
00
00
10
10
10
10
01
01
00
11
01
10
00
00
10
00
01
00
01
10
11
10
11
11
11
10
01
00
00
10
11
01
00
10
10
10
11
00
01
11
10
10
10
00
00
10
10
00
01
11
11
01
00
00
00
11
10
00
00
00
10
10
10
01
00
00
01
11
10
10
00
00
01
10
10
01
00
10
00
00
10
10
00
10
01
10
00
10
11
00
10
00
11
01
00
10
00
10
00
00
00
11
10
01
11
10
00
10
01
10
11
00
01
00
11
00
00
10
10
10
00
01
10
01
10
00
01
00
10
10
10
00
00
11
00
11
11
01
10
10
01
00
00
11
10
01
00
11
01
10
01
00
00
10
00
00
11
11
10
11
10
10
11
01
10
10
01
01
01
10
10
01
01
10
01
00
10
10
10
11
00
01
10
11
00
00
00
11
00
00
00
10
10
01
10
11
00
00
11
11
01
00
10
10
10
10
10
00
00
10
11
10
10
10
00
10
01
00
10
10
01
00
10
01
00
10
00
00
10
10
00
00
10
00
00
10
00
10
10
00
10
01
10
10
00
10
11
00
00
10
00
11
00
00
10
11
01
01
00
10
00
10
01
00
01
10
00
01
10
00
00
10
00
01
10
11
10
01
01
10
00
11
10
00
01
01
11
10
10
00
10
11
00
11
10
10
01
00
10
00
11
10
00
01
00
10
10
10
00
01
10
11
00
11
10
10
00
01
01
10
10
00
10
10
10
01
00
11
00
10
10
01
00
00
00
10
10
00
10
10
01
10
10
00
00
10
10
01
00
01
10
11
10
10
11
10
00
00
00
10
10
01
10
11
00
10
10
11
01
00
01
10
10
10
10
01
00
00
00
00
11
10
11
00
01
11
00
10
10
01
00
00
10
00
01
10
11
01
00
10
10
10
00
00
11
00
01
10
01
00
00
10
11
00
10
11
11
00
00
11
00
10
11
00
01
10
10
00
00
01
10
11
00
10
01
00
00
10
11
00
10
11
10
00
10
10
11
00
00
10
10
01
00
10
00
01
00
10
00
11
10
10
11
00
11
10
01
01
00
00
10
01
10
00
00
10
00
00
10
10
10
10
10
00
10
10
00
10
00
10
00
10
00
11
00
10
10
10
01
10
11
00
00
10
10
11
10
00
00
11
10
10
00
00
10
10
01
10
00
00
10
01
00
00
10
10
00
00
00
11
01
10
11
10
00
00
00
10
10
01
01
10
00
11
01
10
10
10
00
00
10
11
00
01
00
10
10
00
11
00
00
10
01
00
11
01
10
11
00
00
00
01
11
11
11
00
10
10
10
11
00
01
10
01
01
01
00
00
00
11
11
10
10
00
01
00
10
11
00
01
10
01
11
01
00
00
11
10
00
00
00
00
11
11
00
11
01
11
00
00
10
11
00
00
01
11
10
00
01
10
10
00
01
10
00
00
11
10
00
00
10
00
00
01
01
00
01
10
00
11
00
11
11
10
00
00
00
01
00
01
10
01
10
11
01
10
11
01
10
00
00
10
10
10
01
01
11
10
10
10
00
10
01
00
10
11
00
00
00
00
00
00
10
10
00
00
10
10
10
00
10
00
10
10
11
10
00
00
10
11
10
11
00
00
11
00
01
00
11
01
11
00
01
11
00
11
10
00
01
00
11
00
00
11
00
01
00
10
10
11
00
10
10
00
10
10
00
01
00
11
10
01
10
01
01
11
00
00
10
10
01
01
01
00
01
11
00
10
00
11
00
11
11
10
00
10
00
00
10
10
10
11
00
00
11
00
00
10
10
10
00
01
11
00
01
00
00
01
10
01
00
11
11
10
10
11
00
00
00
01
10
10
00
01
01
10
10
11
10
00
10
10
10
11
01
10
00
00
11
01
00
00
00
10
00
00
00
00
11
11
00
10
10
10
10
10
00
00
10
11
01
00
11
11
10
11
10
01
00
01
10
10
11
00
10
00
10
11
10
11
00
01
10
00
11
10
00
01
11
10
11
00
11
00
10
00
10
10
00
00
10
10
11
00
01
10
10
00
10
10
00
01
11
11
10
10
00
01
00
10
00
00
00
10
10
00
10
01
11
10
11
10
10
01
10
10
10
00
00
11
10
00
10
10
00
10
10
00
00
10
10
00
01
00
10
10
10
00
00
10
10
10
00
01
00
11
01
10
00
10
10
00
00
10
11
10
00
11
10
00
01
01
00
01
00
11
10
11
00
00
10
11
10
00
00
00
10
10
11
00
00
10
10
10
11
00
01
10
10
11
00
11
11
11
00
00
00
10
10
11
10
00
11
10
01
10
10
01
10
01
00
01
10
00
01
11
10
00
01
00
10
11
01
11
00
00
11
00
00
10
10
10
11
01
01
10
10
01
00
10
10
10
00
10
01
00
00
10
10
10
00
00
01
01
00
01
10
01
10
00
10
10
00
11
10
00
10
01
00
10
10
10
00
11
01
00
00
11
00
10
01
10
11
01
10
10
00
00
00
00
01
11
00
10
11
10
11
11
00
11
01
11
11
01
11
10
10
00
10
00
00
00
10
00
00
00
11
01
00
10
00
10
10
00
10
11
00
01
00
01
01
10
10
11
10
11
01
01
00
10
00
00
00
10
10
00
11
10
00
00
00
01
00
01
10
00
01
00
01
00
00
01
10
10
11
10
01
10
01
00
10
10
00
10
10
10
00
11
10
11
11
00
11
00
00
00
10
10
11
10
01
11
11
00
00
00
11
00
00
00
10
01
10
10
00
10
00
10
00
00
00
10
10
10
10
00
10
01
00
11
01
01
10
00
10
01
10
11
11
01
01
11
01
01
00
10
10
10
00
01
10
11
01
00
10
00
00
10
00
00
11
10
11
00
00
00
00
00
11
00
00
11
10
00
11
00
11
00
00
10
10
10
00
01
11
10
01
00
10
01
01
10
00
00
11
10
01
00
10
10
00
10
11
10
00
11
11
00
10
10
10
10
10
00
01
10
00
01
00
10
00
01
10
11
10
10
00
00
10
10
00
01
11
00
11
10
10
00
00
10
00
00
10
11
00
10
01
00
11
00
11
00
10
00
01
11
01
00
11
11
00
11
00
00
10
11
00
10
10
01
00
00
01
11
10
00
10
10
01
00
11
01
01
01
00
11
10
00
10
10
01
00
10
00
00
00
10
10
11
11
00
11
10
11
00
10
01
10
10
00
00
10
00
10
10
10
00
10
10
10
00
00
11
10
10
01
00
10
11
10
01
10
10
01
11
11
00
01
10
10
01
10
01
00
01
10
11
10
00
00
11
00
10
01
01
11
11
00
11
10
11
01
10
10
01
00
10
11
00
00
10
00
00
00
00
11
01
00
10
10
00
00
11
01
11
11
10
00
00
10
10
00
00
10
01
10
01
00
10
10
00
00
01
00
11
10
00
00
00
11
10
00
11
01
10
10
11
11
11
10
00
01
01
10
01
11
11
01
01
10
01
11
10
00
11
00
11
11
00
01
10
11
10
00
01
10
10
01
11
10
00
10
01
00
10
00
00
10
10
01
10
10
01
10
11
01
10
01
01
10
10
01
00
00
10
10
11
00
00
00
00
10
10
00
01
11
00
11
00
00
10
11
01
10
10
00
10
10
01
00
00
10
00
11
10
11
10
00
11
11
10
00
01
10
10
10
01
01
00
11
10
11
00
01
10
10
10
00
00
11
00
00
11
00
10
11
10
11
01
10
01
01
01
00
11
11
01
11
11
00
00
10
11
01
10
00
10
11
11
00
01
10
10
00
00
00
10
11
00
01
11
01
10
00
10
10
00
00
10
10
01
00
00
11
00
10
00
00
10
10
01
10
11
10
01
11
11
00
10
00
00
01
10
00
11
00
11
11
00
00
00
10
11
11
11
01
10
00
01
10
01
00
11
11
10
00
10
00
00
10
00
10
00
00
10
01
01
00
00
11
00
00
00
00
11
00
00
11
00
01
01
11
11
01
01
00
10
11
00
01
10
10
00
00
10
10
01
01
10
00
00
10
01
01
10
10
00
10
00
11
00
00
10
10
00
10
11
00
10
10
00
10
10
00
10
10
10
11
00
01
10
10
10
11
00
00
00
10
01
10
10
00
10
00
01
00
11
10
00
10
10
00
10
00
00
10
00
00
11
10
01
00
10
00
10
10
10
01
00
10
00
10
10
10
10
00
00
10
00
01
00
00
10
00
10
00
01
11
10
01
01
11
01
01
01
00
10
10
10
10
00
00
10
11
11
01
00
11
10
00
00
10
10
00
00
10
10
00
10
10
10
10
01
00
10
00
00
01
11
11
10
10
11
10
00
00
00
11
10
10
10
10
10
01
00
10
11
00
10
10
00
10
10
01
10
10
11
11
01
01
01
11
00
00
10
00
00
11
10
01
11
10
10
10
00
00
01
10
11
00
01
11
11
00
01
01
11
10
10
00
01
00
10
11
00
10
10
11
10
11
00
00
00
00
00
01
11
11
11
00
10
11
10
00
01
10
11
01
00
00
01
11
11
10
00
00
00
10
00
11
11
00
01
10
00
10
10
10
00
10
11
01
01
00
10
10
11
00
00
00
00
10
10
10
10
10
01
01
00
01
00
01
10
00
10
00
00
01
01
00
01
10
10
01
10
10
10
10
01
01
01
00
11
11
10
00
01
00
11
01
11
11
00
00
10
11
00
10
10
00
10
10
00
00
10
10
11
11
01
10
10
10
00
11
10
00
10
00
01
00
00
11
11
10
00
10
00
10
10
00
00
11
10
00
01
00
01
00
00
11
10
01
01
00
01
00
10
11
11
01
01
01
11
00
10
10
01
00
10
10
01
10
01
00
10
11
01
11
00
10
00
11
11
00
10
10
10
00
00
00
10
11
10
10
10
00
01
00
11
01
00
01
01
10
11
00
00
10
10
10
00
10
11
01
10
11
11
00
01
01
01
11
01
00
10
10
10
10
00
01
10
00
00
01
10
10
01
00
00
01
10
10
10
10
00
10
01
10
00
00
10
10
10
10
10
11
00
01
00
10
00
00
10
00
10
11
00
00
00
00
10
10
11
00
11
00
01
11
00
10
10
10
00
10
00
00
00
11
10
10
10
00
01
00
01
10
00
01
01
11
11
11
00
00
11
11
01
01
11
11
10
00
00
11
00
01
10
10
11
10
00
00
10
11
00
11
10
00
11
11
00
00
10
11
10
01
00
10
10
11
11
10
10
01
10
10
00
00
10
10
00
10
00
01
11
10
01
00
00
10
11
00
10
10
01
10
00
10
10
01
11
10
11
10
01
10
10
01
01
01
10
11
01
10
10
00
11
10
01
01
10
11
10
11
00
00
10
10
00
00
10
11
01
00
10
10
01
10
00
00
01
01
00
11
10
01
10
10
00
10
00
00
01
10
00
10
01
10
10
10
00
11
10
01
10
11
00
11
11
01
00
01
10
10
10
00
10
10
00
00
10
10
10
01
10
10
00
00
01
10
01
01
10
10
00
10
10
10
01
00
11
01
01
11
10
00
10
10
01
11
01
10
10
00
00
10
00
00
11
00
01
01
11
10
00
10
10
01
00
00
10
01
10
11
11
00
00
00
10
11
11
00
00
01
10
01
00
10
00
11
11
11
10
11
11
10
00
00
00
10
11
01
00
11
01
00
10
00
10
11
10
00
10
11
01
11
10
11
11
10
10
00
01
10
01
01
10
10
00
00
01
01
11
10
00
10
00
10
11
00
00
00
11
00
01
10
10
00
11
00
11
01
00
01
10
10
01
10
10
00
11
10
10
00
00
10
00
00
00
10
10
10
00
10
10
10
00
00
11
01
11
00
10
01
00
10
10
00
00
10
11
11
10
00
00
10
00
00
10
10
11
00
00
00
11
00
10
10
10
10
10
00
00
10
10
00
00
01
01
10
00
10
00
00
10
10
11
00
00
00
10
00
10
00
00
01
11
11
10
00
10
00
10
10
10
00
00
00
10
00
10
01
11
01
11
01
00
10
01
10
11
00
00
11
11
01
11
10
00
11
00
00
00
10
10
10
01
10
00
00
11
00
01
10
11
00
10
10
11
10
10
00
00
00
10
10
11
10
10
01
11
11
10
10
00
00
01
00
11
11
00
10
10
00
00
00
11
10
01
11
10
10
11
10
10
11
00
00
11
10
00
00
00
10
10
00
10
01
00
10
00
10
10
00
01
00
10
10
00
10
01
11
10
11
01
00
10
11
10
11
10
01
00
01
10
00
00
00
10
10
10
10
00
00
11
11
00
01
00
10
01
01
10
11
10
01
00
10
00
10
00
01
10
10
11
01
11
11
00
10
10
00
11
00
01
11
00
00
10
10
10
10
01
01
11
10
10
00
10
10
10
10
01
00
00
00
10
01
00
01
10
00
10
00
00
10
00
01
00
00
11
01
01
00
00
10
01
00
10
11
00
00
00
00
11
10
10
00
11
10
01
00
10
01
10
11
00
01
11
01
10
10
00
00
00
10
01
00
01
11
11
00
10
00
00
10
11
10
01
11
00
11
01
11
11
10
01
00
11
00
00
10
10
01
11
01
01
00
01
00
11
11
01
00
10
10
10
00
00
00
00
10
00
01
10
00
11
10
10
01
10
10
01
11
00
10
10
01
11
11
10
10
10
00
01
11
00
01
10
10
00
10
00
11
01
01
00
11
10
01
00
00
10
10
00
01
00
11
10
01
00
10
10
10
01
00
01
01
10
11
00
10
10
00
01
00
10
10
00
00
00
00
10
11
00
11
11
10
10
01
11
10
00
01
00
11
10
01
00
10
00
01
10
10
11
00
10
00
11
10
00
10
01
00
10
10
10
00
00
10
10
01
00
11
00
10
00
00
01
01
01
10
01
01
01
10
10
00
10
10
11
00
01
01
01
11
00
00
10
10
00
10
01
00
10
10
01
00
10
01
00
10
00
10
11
11
01
01
11
00
10
10
10
01
01
11
10
00
00
10
01
10
00
01
10
10
00
11
10
00
01
00
00
00
11
10
11
00
10
10
00
00
01
00
10
10
10
00
00
10
10
10
01
10
10
11
00
01
01
11
10
10
10
10
01
10
01
01
11
01
00
11
01
00
10
10
00
01
11
00
01
00
00
11
00
00
11
00
00
11
10
00
10
10
11
10
00
00
00
10
11
10
11
00
11
00
11
00
10
00
00
00
01
00
00
10
10
10
01
00
01
11
11
01
01
11
10
00
10
00
00
10
01
01
11
00
00
11
11
10
00
00
10
11
01
10
11
01
00
01
00
11
10
10
00
00
10
01
00
10
10
11
01
01
10
10
00
10
11
11
10
01
00
10
10
00
01
10
00
00
10
00
00
10
10
11
00
10
00
10
00
10
00
01
00
00
11
10
11
10
01
01
11
10
10
10
01
01
10
11
11
11
01
01
01
10
00
01
10
11
00
11
10
00
10
00
10
10
00
00
01
10
11
00
00
10
11
10
00
11
00
00
01
01
10
11
00
10
00
00
00
10
00
01
01
00
11
10
00
00
11
10
00
01
10
11
11
00
10
10
10
10
10
01
00
01
10
11
00
01
10
00
10
11
01
00
00
11
00
10
00
10
01
01
10
10
10
00
10
10
11
01
00
10
01
01
00
10
11
10
11
10
00
01
00
10
11
00
00
10
11
10
00
10
10
10
01
01
00
10
10
00
10
01
10
10
01
10
00
10
00
00
01
00
11
10
10
10
11
01
01
00
01
00
00
00
11
11
10
01
00
01
10
00
10
00
01
10
00
00
00
10
00
11
11
10
00
01
01
11
00
00
00
10
11
10
10
00
00
10
01
11
10
00
00
01
00
10
11
01
01
10
00
00
01
10
01
01
11
10
01
01
00
00
11
00
00
01
01
00
11
10
01
10
11
00
00
10
11
10
00
11
01
11
01
00
10
00
01
10
00
00
11
11
00
10
00
00
10
00
11
00
10
10
10
00
00
10
00
10
10
01
10
00
11
10
00
00
00
10
11
10
00
11
01
01
10
10
11
00
10
00
01
10
10
10
11
10
00
01
00
00
01
11
10
00
00
00
11
10
11
00
01
00
00
11
10
11
10
10
00
10
01
01
10
10
10
00
10
10
00
00
01
00
10
00
10
00
11
01
01
00
10
10
01
00
10
10
01
10
01
00
10
11
01
10
00
00
10
10
10
01
00
11
00
01
00
01
10
10
00
00
11
01
10
10
00
01
00
11
10
00
00
00
10
10
00
00
10
00
01
10
01
00
00
10
11
11
10
00
00
11
00
10
10
10
01
00
00
00
10
10
01
00
00
10
10
00
10
00
10
00
10
10
00
10
00
10
10
00
10
10
00
01
01
10
10
10
00
00
10
10
01
11
00
10
01
00
11
00
01
10
10
01
00
10
11
00
00
10
10
01
10
00
01
00
00
00
01
10
00
11
10
00
10
10
00
00
10
01
10
00
00
00
10
11
00
11
10
01
10
00
11
00
11
00
00
10
00
00
11
10
11
11
01
01
00
10
10
01
11
00
00
10
00
01
10
00
10
10
10
10
11
10
00
01
01
01
10
10
11
01
10
00
00
10
10
10
11
01
10
10
00
10
11
01
00
10
11
10
00
00
10
10
10
00
00
01
01
00
10
10
10
00
10
11
00
01
00
10
00
10
01
00
10
11
11
11
01
10
00
11
11
00
10
00
10
10
01
00
10
10
11
01
10
01
01
01
11
10
10
00
00
00
10
11
00
10
10
00
01
01
11
10
00
00
11
10
00
10
10
00
11
11
01
00
11
10
10
00
00
10
00
00
10
00
00
11
10
01
10
10
11
00
00
01
00
10
10
10
00
00
01
10
01
11
01
00
00
01
11
01
00
10
00
00
00
10
10
01
11
10
10
00
10
01
10
00
00
10
11
01
10
00
00
01
10
01
10
00
00
00
10
11
00
10
10
01
10
10
00
10
10
01
00
01
00
10
00
00
00
01
10
00
10
10
01
00
00
10
00
10
00
10
10
00
00
10
00
00
10
01
01
10
10
11
01
10
00
10
11
00
00
11
01
00
00
01
01
10
10
00
00
10
11
00
00
01
11
10
00
11
00
10
00
10
11
10
10
10
00
00
10
00
00
11
11
00
11
11
10
00
01
10
10
00
00
10
11
10
00
11
10
10
00
00
10
00
00
00
10
00
10
10
11
00
01
01
11
00
10
00
00
01
10
10
00
10
10
11
10
00
10
11
00
10
10
11
00
10
10
00
00
00
10
00
01
00
01
10
00
10
11
00
01
00
11
01
00
10
10
11
00
11
10
10
00
01
00
10
01
11
10
10
01
10
00
10
10
11
11
01
11
10
10
00
10
11
00
01
10
00
11
10
10
00
00
10
00
01
00
00
01
10
00
01
11
10
01
11
00
00
11
10
10
11
01
00
11
11
11
11
01
11
11
00
00
11
10
00
00
11
10
01
11
01
00
10
01
10
10
10
01
10
01
11
01
10
10
10
11
00
00
10
10
00
11
00
01
10
11
10
00
11
10
01
01
11
11
01
00
00
10
10
01
00
11
10
10
00
11
00
00
00
00
10
00
00
10
11
11
00
10
01
00
10
10
00
10
10
10
11
01
01
00
11
10
10
00
10
10
10
00
00
00
10
00
00
10
01
00
00
11
01
00
00
10
00
01
10
11
10
00
01
00
10
00
10
11
11
10
10
11
00
10
00
01
11
00
00
00
00
10
01
00
10
10
00
00
00
10
11
10
00
00
01
10
10
11
10
00
01
00
00
00
01
10
10
10
01
00
10
00
10
10
01
11
11
00
00
01
00
10
00
11
01
11
11
10
10
11
10
00
11
10
10
01
00
10
00
01
10
00
00
10
10
10
00
00
01
10
10
01
10
10
01
00
11
00
10
10
11
00
00
10
10
10
00
10
10
11
01
00
01
00
10
10
00
10
11
00
01
10
01
00
00
10
10
10
00
10
10
01
00
10
10
01
10
10
10
00
10
10
10
00
01
10
00
00
01
00
10
11
11
01
00
11
10
00
00
10
10
01
00
00
00
11
10
00
01
00
11
10
10
10
10
01
10
10
01
00
10
10
11
10
01
01
10
11
00
11
10
01
01
00
10
11
10
00
10
11
10
01
00
10
00
10
00
00
11
11
01
00
00
00
10
11
00
11
00
10
11
10
11
10
11
01
01
11
10
11
11
00
01
01
10
00
00
11
11
00
00
10
10
11
00
11
00
10
00
01
00
10
01
01
10
01
00
10
00
10
11
10
00
00
01
01
00
01
00
11
11
00
10
10
00
00
10
11
10
10
01
10
00
10
01
00
11
00
01
00
00
11
00
00
11
10
01
11
00
11
01
00
10
11
00
00
10
10
11
00
10
00
10
10
11
10
10
11
00
11
00
01
00
00
01
01
10
01
10
10
10
00
10
00
01
10
00
10
10
10
00
10
00
00
11
01
11
10
10
00
01
01
10
11
00
01
00
10
10
10
01
00
10
10
00
00
10
11
10
01
00
00
00
10
00
10
00
00
10
00
00
00
01
00
00
10
11
00
01
10
00
10
10
10
11
00
10
01
10
11
00
01
11
10
00
01
01
11
10
00
10
10
01
00
01
11
11
11
01
10
00
00
10
10
00
00
10
10
00
01
00
00
10
00
00
00
10
01
01
11
10
10
00
00
10
11
00
00
01
10
10
10
11
00
11
01
00
00
00
01
10
11
00
00
11
11
10
00
01
01
00
10
10
00
10
01
10
10
01
01
00
01
10
01
10
10
11
10
11
00
00
10
10
10
10
11
00
01
00
11
10
00
00
10
10
00
10
10
01
01
10
10
01
00
01
10
00
10
11
00
00
11
00
00
10
10
00
10
10
00
01
10
01
11
10
10
11
00
10
11
01
01
10
10
00
00
11
10
10
11
11
11
01
11
11
01
11
00
01
11
00
00
10
10
00
10
10
00
00
00
10
00
01
11
01
10
10
10
10
01
01
00
11
11
11
10
10
11
01
10
10
00
10
10
00
00
10
01
00
00
10
10
10
00
01
11
01
11
10
11
10
01
10
11
01
00
01
11
11
01
01
11
11
01
00
00
10
11
10
00
10
10
01
01
01
10
11
01
01
00
00
00
10
10
00
10
10
10
10
01
01
10
10
01
11
11
11
01
00
10
00
00
11
11
00
00
11
00
11
11
11
01
00
10
11
11
00
10
00
10
11
01
10
11
10
11
11
11
00
10
10
00
00
11
00
11
11
10
00
00
10
11
11
00
01
01
10
01
00
00
11
10
10
00
00
10
00
00
11
00
10
10
01
10
11
01
01
11
10
11
11
01
10
10
01
10
10
00
00
01
00
11
01
01
10
01
00
10
10
00
10
10
11
00
01
10
10
00
01
10
00
00
10
10
00
10
10
00
11
00
01
11
10
00
10
00
10
00
10
10
00
00
00
00
11
00
00
10
00
01
01
00
10
10
11
10
00
10
10
11
11
00
01
10
10
11
00
10
10
01
11
10
10
11
00
00
10
01
00
00
00
01
01
10
10
00
10
11
11
01
10
11
00
00
01
11
10
11
00
00
10
10
00
00
11
00
11
10
11
00
11
00
00
00
10
10
00
10
11
10
00
01
01
00
00
00
10
10
10
00
00
10
10
10
10
00
00
01
01
10
00
00
01
01
00
10
01
10
00
01
10
10
00
10
10
11
00
00
10
00
00
10
10
11
10
11
00
00
00
00
10
10
00
01
10
00
00
11
11
11
00
10
00
10
10
10
10
01
00
11
11
01
10
00
01
10
01
01
10
01
10
00
10
10
11
01
00
10
00
10
10
10
10
01
11
10
10
00
10
00
00
10
10
10
00
11
10
01
10
11
10
11
00
10
00
00
10
11
10
11
00
11
00
00
11
11
11
00
00
11
00
00
10
00
01
10
00
00
10
11
00
11
00
11
11
00
10
11
01
10
10
01
10
10
10
00
01
00
10
10
00
00
00
01
00
00
00
00
01
11
01
01
10
00
11
00
00
10
10
01
10
10
00
00
10
00
00
01
00
11
11
00
01
01
00
10
11
00
11
10
00
10
11
00
00
00
10
11
00
01
00
00
10
11
10
10
00
00
00
00
00
11
10
01
11
00
10
10
00
00
01
00
10
00
01
00
10
00
00
11
10
01
00
00
01
00
01
01
10
10
10
00
00
00
00
00
11
00
00
10
01
00
10
11
00
11
00
11
10
10
11
00
01
10
00
01
00
01
10
00
10
10
01
11
10
00
10
11
01
10
11
00
01
10
10
10
10
10
01
10
01
10
11
00
10
10
10
11
00
10
10
10
00
00
00
00
00
10
00
10
10
00
01
00
01
00
00
00
10
10
11
10
00
01
11
11
01
10
10
01
01
10
01
00
11
11
10
00
00
01
00
00
10
11
11
10
01
10
11
11
00
00
11
10
00
10
00
10
00
00
10
01
00
11
10
10
00
00
10
10
10
10
00
01
01
11
01
11
10
11
00
00
00
10
11
00
10
10
00
11
00
11
11
00
11
00
10
11
00
00
00
00
10
00
10
10
10
10
00
01
10
10
00
00
00
10
01
10
10
10
01
11
11
00
10
00
00
11
10
00
00
01
01
11
10
11
11
01
11
00
11
11
11
01
00
10
10
10
01
00
10
10
10
10
00
11
01
10
10
10
10
10
00
10
10
00
11
11
00
00
01
11
11
00
00
10
00
00
00
11
10
00
11
10
00
01
00
11
10
00
01
00
01
00
10
10
01
00
01
00
10
10
10
11
00
00
11
11
01
10
10
10
00
01
00
01
10
01
11
11
11
11
10
01
01
10
10
00
01
10
11
00
10
11
00
00
01
01
10
01
11
00
11
00
11
10
00
01
10
10
11
11
00
10
00
00
10
01
10
00
00
01
00
10
10
10
00
00
00
00
00
10
10
11
00
00
11
01
00
00
10
11
00
01
10
11
00
00
00
01
01
10
00
01
10
10
00
00
00
01
00
10
00
00
10
10
10
00
00
10
00
00
10
01
11
11
00
01
10
10
00
11
10
01
00
10
00
00
10
00
00
10
00
10
01
10
10
10
11
11
11
01
00
00
00
11
10
10
10
00
10
10
10
01
10
11
10
01
00
10
00
01
00
11
11
00
01
11
10
01
00
10
00
10
00
10
01
01
10
01
11
00
00
10
11
00
01
10
00
10
01
11
00
10
11
00
10
10
01
10
10
11
01
00
10
10
00
01
00
10
10
00
00
01
01
10
01
10
00
11
10
10
00
01
00
11
10
00
00
10
10
11
10
00
00
00
00
10
00
10
10
11
01
00
00
00
11
00
00
00
10
11
11
11
10
10
01
01
01
11
01
10
01
01
01
11
10
00
00
00
10
10
01
10
10
10
10
00
01
00
10
01
10
10
01
11
10
10
00
01
10
10
11
11
00
11
00
00
01
00
01
00
00
01
11
11
10
01
11
10
01
00
01
10
10
10
10
10
10
00
10
10
00
00
10
01
00
01
01
01
01
10
00
10
00
00
10
11
00
11
11
11
11
10
00
00
10
01
10
00
00
10
00
10
11
01
01
11
00
11
10
11
01
10
11
00
00
00
10
10
11
00
01
10
00
00
10
01
10
10
00
10
00
00
11
10
10
10
00
00
10
10
01
11
01
00
10
10
10
01
01
01
11
10
10
00
10
00
11
10
00
00
00
11
10
10
00
10
01
00
10
10
10
11
10
11
11
01
10
00
10
11
00
01
10
01
00
00
10
10
11
00
00
10
01
00
00
01
10
00
10
10
11
00
00
10
11
10
00
10
00
01
00
10
10
01
10
10
10
01
00
01
00
00
00
00
11
10
00
00
10
11
10
01
11
00
10
11
01
00
00
00
10
00
11
10
01
10
00
00
10
11
11
01
00
00
10
00
00
01
00
10
11
10
10
01
11
10
10
01
10
00
01
10
00
01
00
10
10
00
00
11
10
01
11
11
01
00
10
01
10
00
11
10
01
00
00
11
11
00
11
10
00
10
00
00
10
00
00
11
10
10
00
11
10
10
10
00
01
10
01
01
01
00
00
00
10
10
01
01
00
10
10
10
10
00
10
01
00
11
11
00
00
11
01
10
11
00
01
10
10
10
01
11
11
11
00
00
11
11
00
00
00
10
01
01
11
10
00
00
11
01
01
00
10
10
10
10
10
00
01
00
10
10
11
11
11
10
00
10
00
00
00
10
11
00
11
01
11
00
01
01
00
00
10
10
01
10
11
10
10
00
10
10
00
01
01
10
10
11
00
11
11
11
10
01
01
10
11
00
01
00
11
10
00
10
11
00
00
00
11
10
00
01
00
00
10
00
10
00
01
10
11
00
11
11
11
00
10
10
00
10
01
01
10
10
01
10
01
10
10
10
00
10
10
01
00
01
10
00
10
10
10
10
01
00
10
01
10
11
10
01
11
01
11
10
00
01
00
10
00
00
00
11
01
10
10
00
01
11
11
00
00
00
10
10
00
10
11
01
11
11
01
10
00
00
10
11
00
11
10
10
10
00
00
10
00
00
00
10
00
10
10
01
00
11
00
11
11
11
11
10
01
01
00
10
11
01
00
00
11
01
01
01
10
10
00
11
10
10
00
10
10
01
00
01
10
10
10
00
10
00
11
10
00
10
11
11
00
10
00
00
11
00
10
11
00
10
10
11
00
00
10
10
10
00
00
10
10
01
00
11
10
01
10
10
00
10
11
10
00
00
10
10
00
00
10
10
10
01
00
10
10
10
00
01
00
01
11
10
10
11
10
10
00
00
01
10
10
00
10
11
00
01
10
11
00
10
00
11
00
00
01
10
01
10
00
10
10
00
10
10
10
11
10
00
01
10
11
11
00
00
10
11
10
00
00
11
00
10
10
00
10
11
11
10
10
11
01
01
00
00
10
00
11
00
00
11
10
10
11
10
00
10
10
10
10
00
00
10
01
00
10
00
01
00
10
11
10
11
00
10
00
01
01
10
00
00
11
01
00
00
00
11
10
10
01
10
10
00
10
11
10
00
10
00
11
10
10
10
00
10
10
01
00
10
10
10
10
10
00
10
10
00
01
00
10
00
10
11
00
11
10
11
11
10
10
00
01
10
01
00
10
11
10
10
00
10
10
00
00
00
10
11
10
00
01
10
00
00
01
01
10
10
10
01
00
10
00
01
10
01
11
10
10
11
00
01
00
00
11
10
11
00
10
01
00
11
10
01
01
10
00
11
01
10
11
01
10
11
00
00
00
10
11
10
00
11
10
00
00
00
10
01
01
00
10
11
10
10
00
00
00
00
00
10
10
10
10
00
10
11
11
01
00
10
00
00
10
10
10
00
01
01
10
10
11
01
01
11
10
00
00
11
10
01
01
01
11
11
11
01
00
11
00
10
11
00
10
10
00
11
00
01
00
00
11
10
10
00
00
10
11
00
00
10
00
00
00
01
10
10
00
10
00
11
00
00
00
10
10
10
00
10
00
01
01
00
01
11
00
00
00
01
00
11
10
00
11
11
00
11
01
01
10
01
10
10
00
01
01
10
10
01
10
11
00
11
11
01
01
00
00
10
00
00
01
10
10
00
01
01
01
10
11
11
10
11
11
01
00
10
10
01
11
10
00
10
01
10
11
01
00
10
01
11
01
01
11
10
00
01
11
01
01
11
10
10
00
10
10
00
01
10
10
10
00
10
00
00
10
00
01
01
00
11
00
00
00
10
10
00
10
00
10
11
00
01
00
00
10
11
10
10
01
00
00
00
11
10
01
10
11
01
00
00
10
10
00
01
10
10
01
00
10
10
00
10
10
11
00
01
10
10
11
00
10
01
00
11
00
01
00
00
10
10
10
00
01
00
01
10
00
11
10
11
01
11
10
00
01
10
01
01
10
10
10
00
11
10
01
10
10
01
01
10
00
00
11
00
10
01
00
10
01
00
10
00
01
10
11
10
00
00
10
00
00
11
10
00
00
00
11
10
00
00
11
00
10
10
00
10
10
01
00
00
11
00
01
01
00
01
10
10
00
11
11
00
00
11
00
11
01
01
10
10
00
01
10
00
10
11
00
11
11
10
00
00
01
10
11
00
10
10
11
00
10
00
00
11
10
00
11
11
01
00
00
01
00
01
01
10
10
10
00
00
00
10
10
00
00
10
01
10
00
11
10
11
00
10
10
00
10
00
10
10
10
01
00
01
00
10
10
00
11
10
10
00
00
00
01
01
10
10
00
00
10
00
00
10
00
00
10
10
10
10
00
10
10
00
00
00
00
10
00
10
01
00
01
10
10
11
01
10
00
00
11
01
01
10
00
11
01
00
11
10
00
10
10
10
01
11
11
00
11
00
10
00
11
10
00
10
00
00
11
01
01
11
01
00
01
10
10
01
11
00
10
00
01
11
00
00
00
00
10
10
10
00
01
10
11
00
11
10
10
00
10
00
00
00
11
10
00
10
10
00
11
00
00
11
10
01
10
11
01
11
10
00
10
01
00
10
10
01
10
10
00
00
11
11
10
10
00
10
00
01
10
10
00
10
00
00
01
10
11
10
00
01
10
00
10
10
01
01
00
00
00
10
10
01
00
00
10
10
10
01
00
10
01
00
00
10
11
01
10
10
00
10
11
01
10
00
10
00
10
10
01
10
01
10
11
01
01
00
10
11
00
10
10
11
00
00
10
10
00
00
10
01
10
10
01
10
00
10
10
10
10
10
10
10
10
00
10
10
01
01
11
00
00
00
00
11
00
01
10
10
10
11
11
00
00
10
00
01
00
00
10
11
00
10
01
10
10
10
01
00
00
10
10
00
00
10
11
11
00
00
00
10
00
01
00
11
00
00
01
10
11
10
00
11
10
00
00
00
10
10
01
11
00
10
10
10
00
01
10
00
00
11
10
01
01
01
11
00
00
00
01
01
11
11
00
10
10
10
10
10
01
01
10
00
00
10
10
01
01
10
11
10
00
01
10
00
10
00
01
10
00
10
11
11
00
10
11
10
00
00
00
10
11
10
01
11
01
11
10
01
10
00
10
10
00
01
00
00
00
10
11
10
11
10
01
00
00
00
11
10
11
00
00
10
00
11
10
11
00
01
11
01
11
11
00
10
11
01
00
10
10
10
01
11
10
00
01
10
10
01
01
10
01
00
10
10
00
10
00
00
11
01
10
01
01
01
11
10
01
10
01
01
11
11
01
00
11
00
00
11
10
01
00
01
10
11
01
10
10
00
01
00
10
01
00
10
01
11
01
01
10
10
10
00
11
10
01
00
00
11
11
11
00
10
11
10
00
00
10
10
10
01
00
00
10
10
00
01
10
00
10
11
10
10
11
00
11
10
01
10
10
00
00
01
00
00
10
00
11
00
00
10
01
10
00
00
00
00
10
11
10
11
01
00
01
01
11
10
10
00
00
10
10
10
00
00
00
10
01
11
00
00
10
00
00
01
10
00
01
00
11
00
11
11
00
00
10
10
00
00
10
01
00
10
00
00
00
00
10
11
00
11
01
11
10
10
10
00
00
10
00
00
11
10
00
10
00
01
10
10
10
00
10
00
10
11
00
00
01
00
10
10
01
11
00
01
00
00
11
10
11
10
11
10
00
10
11
00
00
00
00
10
00
10
10
00
00
10
01
00
11
11
10
10
10
10
00
10
10
00
11
00
10
10
01
10
00
10
11
10
11
01
00
10
10
10
10
01
01
10
00
01
11
00
11
10
00
11
00
00
10
10
00
11
10
01
00
10
00
00
01
10
00
10
10
00
00
01
10
00
01
10
10
01
00
10
10
10
00
10
10
00
11
10
01
10
00
01
10
11
11
00
01
10
11
11
01
00
00
10
10
00
10
10
00
01
11
10
11
00
00
11
00
10
00
10
10
10
10
01
00
00
10
01
01
00
11
11
11
01
10
11
00
10
11
00
00
10
10
00
00
10
10
10
10
11
10
00
00
01
00
01
10
00
10
01
10
10
00
00
11
00
00
10
11
00
01
01
11
11
01
10
01
10
01
10
11
00
10
10
01
10
10
10
10
10
00
00
11
11
10
00
11
00
00
00
00
11
10
01
10
00
00
10
10
00
10
10
00
00
10
01
11
10
10
00
01
00
10
00
01
10
00
10
10
00
10
10
01
01
01
10
10
00
11
11
10
10
00
00
00
11
11
00
00
11
00
01
00
01
11
10
00
11
10
10
00
10
00
00
10
11
10
00
01
10
10
00
10
01
00
01
10
10
00
00
00
10
00
00
10
01
01
10
00
00
00
10
00
00
10
00
00
01
00
10
01
10
11
10
00
00
10
11
10
10
00
10
10
10
10
01
11
10
00
01
11
11
11
01
01
00
01
10
10
00
01
11
01
00
01
10
01
01
10
00
11
10
10
10
01
00
10
01
00
10
00
00
00
00
11
11
10
00
10
11
10
10
01
10
11
00
11
11
01
01
10
11
00
10
11
00
00
00
11
10
00
00
10
00
01
11
10
11
01
00
01
10
01
11
10
00
10
00
00
00
01
10
10
10
01
01
10
00
00
01
10
01
01
01
10
10
01
00
10
10
00
00
01
11
10
00
00
10
01
10
10
11
10
10
00
00
10
01
10
10
10
11
00
01
01
10
10
10
10
01
01
10
11
00
11
11
01
10
10
00
00
10
00
00
10
01
01
10
10
00
11
10
01
10
11
10
10
00
01
10
10
11
10
00
00
01
11
00
11
00
01
10
00
11
11
00
01
10
10
00
10
10
00
10
11
00
10
01
00
01
00
01
11
00
10
10
00
00
10
10
10
00
00
10
01
11
10
10
00
00
01
00
10
00
00
00
10
10
00
01
10
11
00
00
11
10
01
01
00
11
00
00
00
10
10
10
10
00
01
00
01
10
01
10
11
01
01
10
10
00
00
10
10
00
01
00
10
10
01
10
01
10
01
10
11
10
10
00
10
11
10
00
00
00
10
00
10
10
10
10
10
00
10
10
11
01
11
10
01
00
00
01
00
01
11
10
00
10
11
00
10
10
10
01
00
11
00
01
10
00
10
00
10
10
01
10
01
00
01
11
11
11
00
01
10
00
00
00
10
10
00
11
10
11
10
11
11
00
10
10
10
00
10
00
00
11
10
11
11
10
00
00
00
01
00
10
10
00
00
11
10
00
11
10
10
00
00
10
10
00
00
00
01
10
01
11
11
10
00
00
10
10
00
00
10
10
10
01
11
00
10
01
10
10
01
10
01
00
10
00
10
00
10
11
00
01
10
00
10
01
00
01
00
01
11
10
10
10
00
00
10
11
00
10
00
00
10
00
00
10
10
00
10
11
10
00
10
00
11
01
00
10
10
11
00
01
01
00
11
11
10
01
01
00
01
00
11
01
00
11
00
11
00
01
00
11
11
00
11
10
00
10
10
00
00
01
10
11
00
01
10
11
11
01
11
10
10
10
01
00
00
00
00
11
11
10
11
10
00
11
00
10
00
10
11
01
10
00
00
00
10
10
11
11
00
00
11
00
00
00
10
11
10
01
00
10
00
01
10
10
01
01
11
10
00
00
10
11
10
10
00
00
01
00
10
11
00
10
00
10
10
10
01
10
11
00
10
10
10
11
01
00
10
11
10
00
00
00
10
01
01
10
00
11
00
01
01
01
10
11
10
10
00
00
01
10
00
11
10
10
00
10
00
10
10
00
10
10
10
11
11
00
10
01
10
00
10
11
00
01
10
01
01
10
11
10
01
10
01
01
11
10
10
01
01
00
10
01
00
10
11
00
01
00
10
00
00
00
11
11
00
10
11
10
00
00
11
11
01
00
00
00
10
01
10
10
00
00
11
10
11
11
00
00
00
00
00
00
00
10
00
11
01
00
00
00
10
00
01
11
00
00
11
01
10
01
10
01
10
11
01
11
00
01
00
10
10
00
11
10
10
01
00
11
00
00
00
11
10
00
01
11
10
00
10
00
10
01
11
10
10
00
00
10
10
00
00
10
00
00
10
11
10
11
01
10
10
10
01
01
01
11
10
01
00
00
10
00
01
10
11
00
10
10
01
01
10
00
00
00
11
10
00
00
10
00
01
00
10
11
11
00
01
00
10
00
11
01
01
10
10
11
10
10
00
00
01
00
11
00
00
10
00
10
01
11
10
10
00
00
11
10
01
00
11
11
10
10
10
10
01
10
10
11
00
01
11
01
00
00
11
10
00
10
00
00
10
00
11
00
01
01
00
00
10
00
00
00
00
10
11
00
10
00
11
00
00
10
11
00
01
00
01
10
00
01
10
01
10
11
00
10
01
00
10
00
10
00
01
10
11
00
00
00
10
10
00
00
10
10
10
01
10
01
00
00
10
11
11
11
10
11
01
00
00
00
00
10
10
00
11
00
01
00
10
10
10
01
00
01
10
10
10
00
01
01
11
10
00
00
00
00
01
10
11
11
10
01
11
00
00
10
00
11
01
00
10
00
00
10
01
00
11
00
10
01
00
10
11
00
00
01
10
11
00
11
01
11
11
00
11
10
01
10
00
10
10
00
00
00
11
11
11
10
01
00
01
00
10
01
10
01
00
00
00
10
01
10
01
00
10
00
00
10
01
11
10
10
11
00
01
00
10
10
00
01
10
00
00
01
00
11
00
00
10
01
11
10
10
11
10
00
11
11
10
10
00
00
00
00
00
00
11
10
00
11
10
10
10
10
10
10
10
11
10
11
11
00
01
11
00
01
00
11
11
11
00
00
01
10
00
00
01
01
10
10
10
10
10
10
00
10
00
01
10
11
10
00
00
00
10
10
10
00
01
01
10
11
10
01
10
10
00
10
00
01
11
00
11
10
10
10
00
10
00
11
10
01
10
00
00
10
01
00
11
11
01
01
00
01
10
01
00
10
10
00
10
11
10
00
11
11
00
10
10
01
10
10
00
00
10
00
10
10
00
10
11
11
00
00
00
10
10
11
10
00
00
10
10
10
00
01
10
00
11
10
00
10
10
00
10
11
00
11
11
11
10
10
10
00
01
11
10
01
00
11
11
10
00
00
10
01
10
11
00
01
11
11
10
00
01
11
00
10
10
01
00
10
10
00
11
10
10
00
01
11
10
10
10
10
10
11
00
11
00
01
10
00
10
00
00
00
00
11
10
10
10
01
01
00
00
01
00
01
10
00
00
00
10
10
10
00
11
10
01
10
10
00
10
00
11
11
00
00
10
00
11
10
10
00
01
00
01
00
10
00
10
10
00
00
10
11
10
10
00
01
00
11
10
10
11
10
10
10
00
00
10
11
00
00
11
00
00
10
00
00
10
00
10
00
00
00
10
01
10
01
11
00
11
00
00
11
10
00
00
01
10
11
01
10
00
11
10
10
00
11
10
10
00
00
01
00
01
11
10
10
00
00
11
10
01
00
00
00
01
01
11
00
01
10
00
01
00
10
10
00
00
00
10
00
01
10
10
01
00
00
10
00
10
00
11
00
10
00
10
11
00
10
10
01
01
10
00
00
00
01
11
01
10
10
00
11
10
11
10
01
00
11
00
01
00
11
10
00
00
10
10
00
00
11
11
10
00
10
00
00
01
01
01
01
01
11
01
11
00
11
01
11
11
10
00
10
00
01
10
00
01
11
00
01
00
11
10
11
00
10
10
10
00
01
10
01
00
10
10
10
00
01
01
11
10
11
10
10
00
00
00
10
11
01
11
11
11
11
10
00
10
11
00
01
00
01
01
10
11
11
11
00
01
10
10
00
00
00
01
10
11
10
01
11
10
10
00
10
10
01
00
00
10
00
00
00
00
00
00
10
11
11
00
00
10
10
10
11
10
11
00
00
11
00
11
11
00
01
01
10
10
00
10
11
10
00
00
00
01
01
00
11
01
10
00
00
10
11
00
01
00
10
00
00
01
00
01
10
10
10
00
10
10
00
00
11
10
00
00
10
00
01
01
01
01
10
10
10
11
10
10
00
00
01
10
10
10
10
00
00
01
10
11
00
11
01
01
01
10
01
01
00
00
10
11
00
10
00
10
01
00
10
01
10
00
10
11
00
00
00
11
11
01
00
10
00
00
10
10
01
00
00
10
11
11
10
00
01
10
11
11
00
01
00
10
11
00
00
01
10
01
01
00
10
00
01
01
00
10
10
00
01
00
01
00
00
01
00
10
10
10
00
00
10
10
00
00
11
00
01
00
00
00
10
10
00
11
11
10
00
00
11
00
00
11
01
10
01
00
00
10
10
11
00
01
11
10
00
00
10
01
01
11
10
11
00
00
01
01
10
10
10
00
00
00
10
10
01
01
10
01
10
10
00
11
10
00
11
01
11
00
01
11
10
00
00
00
10
10
00
10
11
11
00
00
10
00
00
00
00
00
10
11
11
00
11
00
01
10
10
00
10
00
11
00
10
11
01
00
10
01
00
10
10
10
01
00
11
10
10
00
11
01
01
00
10
00
10
10
10
00
00
00
10
00
01
00
11
10
00
00
11
10
01
00
10
01
00
11
10
10
01
10
11
00
01
10
11
10
00
10
00
00
10
01
10
11
00
10
10
00
00
10
00
00
11
00
10
11
10
10
11
11
00
10
00
11
10
10
11
01
00
10
00
11
00
00
00
01
10
11
01
11
00
00
10
10
00
01
10
00
00
11
10
00
00
10
10
00
11
00
10
00
10
11
10
10
01
10
11
00
00
10
10
00
01
01
11
11
00
10
00
00
00
11
10
01
00
10
11
10
00
11
10
01
01
00
00
10
00
11
10
10
00
10
10
10
10
00
10
10
10
10
00
11
11
10
00
10
01
10
01
00
10
10
10
01
00
01
10
00
00
10
01
00
10
11
10
01
00
00
10
00
00
10
10
11
00
00
10
10
00
00
01
10
00
00
00
00
11
00
10
00
11
00
10
11
00
10
10
00
01
11
10
00
00
00
10
00
01
10
11
10
10
11
00
11
10
10
00
10
11
01
10
11
01
10
01
10
00
00
11
10
01
01
10
01
10
11
00
10
11
00
11
00
10
10
10
10
11
10
00
00
10
10
11
10
00
01
01
10
10
00
00
00
00
00
00
00
10
11
10
10
00
11
11
00
10
10
01
00
00
11
11
10
11
11
00
11
10
00
10
11
01
01
01
11
00
11
11
00
00
10
10
01
10
10
10
01
00
00
10
01
11
01
11
11
00
10
10
00
10
10
00
00
10
00
00
11
01
01
01
00
11
00
10
10
10
00
00
10
00
10
10
11
00
11
00
01
00
10
11
10
01
01
11
00
10
00
10
11
01
10
11
11
10
11
01
00
10
00
00
10
10
00
10
00
11
00
01
00
00
00
00
10
10
10
00
01
00
01
00
10
00
11
10
00
00
11
10
00
01
00
00
00
10
10
00
10
10
11
00
11
00
00
00
11
10
11
00
11
10
00
00
10
10
01
00
11
00
00
10
10
01
10
01
01
01
11
11
00
00
01
01
10
10
00
11
00
10
00
00
10
01
10
01
10
11
01
00
10
10
00
00
11
10
10
10
00
00
01
00
00
11
00
01
10
11
01
00
11
10
00
10
00
01
10
10
00
01
01
00
01
10
01
00
11
10
10
01
00
11
11
10
00
10
00
00
11
11
01
00
11
10
11
01
01
10
10
01
01
00
11
00
00
11
00
01
10
01
11
10
00
00
10
10
10
00
10
00
00
10
10
11
10
00
10
11
11
10
10
01
10
01
00
10
10
00
11
01
10
00
00
11
00
11
10
00
00
01
01
10
10
01
00
10
11
11
10
01
10
01
10
00
00
10
00
01
00
11
10
00
01
10
01
00
01
10
01
01
10
00
00
00
10
01
00
01
10
11
00
01
00
10
00
10
00
00
01
10
10
11
10
10
00
11
10
01
00
00
00
00
11
10
11
01
10
11
10
10
01
11
11
00
11
10
00
10
10
00
00
10
11
00
10
10
10
01
00
10
00
00
11
10
00
11
11
00
00
10
01
10
10
10
10
00
00
00
00
10
00
11
10
10
11
10
00
10
10
10
00
01
00
00
10
01
11
10
00
11
10
01
10
10
11
01
10
01
11
00
01
00
10
00
00
11
10
01
00
10
10
00
10
10
11
00
00
10
10
00
01
00
01
00
11
11
00
10
00
11
00
00
11
01
10
01
00
11
10
11
00
01
00
11
00
01
10
11
11
11
10
00
10
11
10
00
01
10
01
00
11
00
01
11
10
01
00
11
10
00
10
00
00
10
00
01
01
11
10
01
00
11
01
00
00
10
00
00
00
10
11
11
00
11
01
00
11
00
10
11
10
00
00
10
10
10
11
11
11
01
01
00
11
11
10
00
00
10
11
11
01
00
01
00
11
10
10
10
10
11
01
10
10
10
10
11
11
00
11
10
00
00
01
10
00
00
00
10
10
10
00
00
00
00
10
01
00
01
00
10
00
00
10
00
00
10
11
00
00
10
00
00
00
11
00
10
10
10
00
00
00
00
11
00
10
10
01
00
11
00
00
01
10
00
00
10
10
00
10
10
10
10
11
00
00
10
11
01
01
10
10
00
00
10
10
00
01
00
10
00
10
01
11
00
10
00
11
00
11
10
00
00
01
00
10
00
00
10
00
00
01
11
10
11
11
10
11
01
00
01
11
00
00
10
10
10
11
10
11
10
00
00
01
10
01
10
10
00
00
10
11
11
01
00
10
01
01
10
01
11
10
00
10
10
11
00
00
11
00
01
00
10
00
00
10
10
00
00
10
11
00
11
01
10
10
10
10
10
00
00
10
10
01
10
11
11
11
11
00
10
10
10
00
01
10
00
00
10
11
00
01
11
10
11
11
10
01
11
10
00
00
10
10
01
01
10
01
00
11
01
00
10
10
10
10
10
00
10
10
01
10
01
00
10
00
10
00
10
00
00
00
00
11
10
00
10
01
00
10
00
10
01
10
10
00
00
00
11
10
00
00
00
10
10
10
00
00
10
10
00
11
00
00
00
01
00
00
11
10
10
00
00
10
10
11
00
00
10
11
11
00
11
10
11
00
01
11
00
00
10
01
00
01
10
00
10
00
01
10
11
01
10
00
10
10
00
00
10
00
01
11
10
10
10
00
10
00
00
00
10
11
01
10
10
10
01
10
00
01
10
10
01
00
11
10
00
00
11
11
01
01
10
00
00
10
01
01
10
01
00
00
10
10
10
00
00
10
10
10
00
00
01
10
01
11
00
00
00
10
00
01
10
10
00
00
11
00
11
01
00
10
11
00
00
00
11
11
10
01
01
01
10
01
10
00
10
11
00
01
10
10
11
11
01
00
10
10
00
00
10
00
00
10
00
10
11
10
00
01
10
10
00
11
11
10
00
01
10
00
11
01
01
10
00
10
11
00
10
10
00
00
11
10
11
01
10
00
00
11
01
00
11
10
00
00
10
11
00
11
11
01
10
10
10
01
01
00
01
11
00
00
10
10
10
10
00
00
11
00
00
10
11
00
00
00
01
10
10
11
00
01
10
00
11
00
10
00
11
00
10
00
00
10
00
00
11
10
00
01
10
10
01
10
00
01
10
01
11
11
10
00
00
10
00
10
00
10
10
01
11
10
10
00
00
10
11
10
01
10
11
00
01
00
10
10
00
01
11
00
11
10
10
10
10
00
00
10
01
10
10
01
00
01
10
10
10
10
10
01
00
00
11
10
01
01
00
10
00
00
10
10
00
00
00
10
10
00
11
10
01
11
00
00
00
01
10
01
10
11
00
10
00
01
00
11
10
00
01
11
10
00
00
10
10
10
10
01
00
11
10
11
00
10
01
01
00
10
00
00
10
01
10
00
10
10
11
01
11
00
00
00
10
11
00
10
10
00
01
00
00
11
10
00
10
11
10
10
00
00
11
10
01
00
11
10
10
10
01
00
01
10
10
00
00
10
00
10
11
11
10
00
01
01
01
10
00
10
11
10
10
10
10
00
00
00
10
10
01
00
00
10
10
10
10
01
00
11
10
10
10
00
00
11
11
01
01
10
10
10
00
10
11
00
11
00
00
00
00
11
11
00
10
10
10
01
00
10
01
00
01
10
11
11
10
00
00
00
10
11
10
01
10
00
10
11
11
00
10
01
00
11
10
01
10
10
00
00
00
11
00
00
01
10
00
00
10
10
10
00
01
00
10
00
10
11
00
00
11
11
00
10
10
10
11
00
00
00
10
00
10
11
01
01
10
10
10
01
11
00
00
11
11
00
10
10
10
11
00
01
00
10
00
10
01
01
10
11
10
11
00
01
00
10
10
01
11
11
11
01
10
00
11
10
10
01
00
11
10
01
01
00
11
00
00
10
10
00
01
00
11
11
00
10
10
00
11
10
00
01
00
10
10
00
11
10
11
00
00
00
10
11
10
00
00
10
00
10
11
11
01
00
00
11
10
10
00
10
11
00
10
00
01
01
10
11
10
10
11
10
10
00
01
00
10
11
00
11
00
11
00
00
00
10
01
00
01
10
01
10
11
11
01
00
10
00
10
01
00
00
11
11
01
01
00
10
10
00
01
11
10
00
00
00
00
11
11
10
00
00
11
10
10
10
10
00
00
11
10
10
01
01
00
01
01
10
11
00
00
00
10
10
00
00
10
10
00
10
10
11
00
00
00
00
00
10
00
11
10
00
10
00
00
10
10
00
00
00
10
00
10
10
10
10
01
10
00
10
00
01
10
00
10
10
10
00
10
10
11
11
00
00
00
01
10
11
00
10
01
00
10
11
01
00
01
00
10
00
10
10
00
10
11
10
10
11
00
00
11
11
00
00
10
10
10
00
00
10
11
10
00
01
00
01
10
10
00
11
10
01
10
11
00
00
01
00
11
11
10
00
10
00
00
10
11
01
11
10
10
00
00
10
00
01
11
01
00
00
10
01
00
11
11
00
10
10
01
11
01
10
01
00
00
10
00
00
01
10
10
10
11
00
10
11
01
01
00
10
01
10
00
00
01
11
01
11
10
00
11
10
11
11
01
10
10
10
11
10
00
00
01
11
10
10
10
10
10
00
11
01
11
00
00
10
01
00
10
11
00
00
10
10
10
00
11
10
11
01
01
11
11
00
00
01
10
00
10
10
01
01
10
00
11
10
01
10
10
00
01
00
01
00
10
10
11
00
00
10
10
10
00
00
10
00
10
10
00
10
00
10
01
10
00
00
11
10
10
11
10
10
11
10
00
00
01
10
00
00
00
11
01
01
10
00
00
11
10
00
00
10
10
00
01
00
00
10
10
01
01
10
10
00
10
01
11
10
01
00
10
01
10
01
10
00
00
10
00
00
10
00
00
00
10
00
00
00
11
00
10
00
01
01
00
01
01
01
00
01
10
11
00
10
10
00
10
10
00
00
01
11
10
00
10
00
01
10
11
00
01
01
01
11
01
01
11
01
00
11
10
00
00
00
10
10
00
01
01
10
01
01
00
11
00
10
11
11
00
10
00
00
01
10
10
10
10
01
11
00
00
00
10
01
10
10
01
00
00
10
10
01
00
10
00
01
10
00
11
11
00
11
00
01
00
10
10
00
01
10
10
00
00
01
01
10
10
01
11
00
00
10
10
00
00
00
11
00
00
10
01
10
00
11
10
10
10
00
01
10
10
11
01
00
11
00
10
10
11
00
00
00
10
10
01
10
00
11
11
11
10
00
11
10
10
10
00
01
11
01
00
00
11
01
10
10
10
00
00
00
00
10
01
11
11
11
11
01
00
00
01
10
00
01
01
10
10
00
10
10
00
00
00
10
10
01
10
10
01
00
11
11
11
00
11
10
00
00
10
00
10
00
00
11
00
10
10
00
00
10
10
11
10
00
10
00
00
00
10
11
00
10
10
01
00
10
01
01
11
00
00
10
11
10
00
10
11
01
01
11
00
10
11
00
00
00
01
10
10
10
10
10
10
00
01
10
00
11
10
10
01
00
10
10
00
10
10
10
00
01
00
10
11
00
10
11
00
01
10
00
00
00
01
10
01
00
00
01
10
10
11
01
00
10
00
01
11
01
00
10
11
00
10
11
11
00
10
00
11
10
00
00
10
11
11
00
00
00
10
10
10
00
11
11
11
01
10
11
11
01
00
00
10
10
01
00
01
11
00
00
10
10
10
01
01
00
10
01
10
01
00
01
10
11
10
10
00
00
11
11
00
00
01
10
10
10
00
11
11
00
01
10
00
00
11
10
01
00
10
10
10
00
01
01
00
10
10
01
10
11
00
01
10
01
00
10
11
00
00
10
10
00
10
11
01
11
01
01
01
01
10
10
01
00
11
11
10
00
10
00
00
10
00
10
00
10
00
10
10
10
01
11
00
11
01
00
00
00
00
10
00
11
00
10
11
00
10
00
01
00
11
00
10
00
11
00
10
01
00
10
10
10
00
00
11
00
10
10
00
00
00
10
11
00
00
00
01
10
00
01
10
01
01
10
10
00
10
10
11
01
01
00
10
10
00
10
00
01
11
10
00
10
01
01
00
10
10
00
00
00
10
00
00
10
00
00
10
00
00
00
10
10
10
00
00
10
00
10
00
00
01
10
00
00
00
00
10
01
11
00
11
10
10
10
00
11
01
01
10
10
10
00
10
00
00
10
10
10
10
00
11
01
01
10
00
10
00
00
10
10
00
11
10
10
10
10
10
01
10
11
10
11
10
10
11
00
11
11
10
01
00
01
10
01
01
00
01
10
10
00
11
10
01
10
10
11
00
10
00
10
11
00
01
11
10
01
00
10
10
10
01
01
10
10
10
00
10
00
11
11
00
00
00
00
11
10
11
11
00
00
01
00
11
10
00
01
10
01
01
10
10
10
00
01
01
10
10
10
10
01
10
10
00
10
00
00
10
01
01
00
01
11
00
00
10
11
11
11
00
00
01
01
00
01
10
10
00
00
10
00
00
10
01
01
00
00
11
10
01
00
10
11
10
00
10
01
10
00
00
10
00
00
01
00
10
10
00
10
10
11
00
10
00
00
00
10
10
10
11
00
00
10
10
00
10
10
00
00
10
00
00
00
00
01
00
00
01
10
00
00
00
11
10
00
11
00
01
01
00
01
11
01
11
10
00
00
01
11
00
10
11
00
01
10
01
00
10
10
00
11
10
10
10
11
01
11
01
01
11
10
00
10
00
01
11
11
00
10
11
10
00
00
10
10
01
10
00
10
00
00
00
10
11
00
01
10
10
10
00
10
00
00
10
10
00
11
00
00
11
11
00
00
00
10
00
00
10
00
00
10
10
11
10
00
00
01
10
01
11
10
10
00
00
00
00
10
10
10
00
01
01
01
00
10
10
00
10
10
10
00
10
11
10
00
00
10
11
00
11
00
11
10
01
01
10
01
00
00
10
01
00
00
10
11
11
00
11
00
00
01
00
10
10
10
00
01
10
01
00
10
11
01
10
10
10
00
10
01
10
10
00
00
00
11
01
10
00
10
01
00
10
10
00
01
10
10
10
10
00
00
01
00
00
00
00
11
10
00
00
11
01
11
00
11
10
00
11
00
01
11
01
00
00
11
11
00
01
11
11
01
00
00
10
10
00
00
11
11
10
01
00
10
10
10
01
00
11
10
11
01
10
10
10
10
11
11
10
00
00
00
10
00
10
01
00
11
01
10
01
10
10
10
01
00
00
10
00
10
10
11
11
11
11
11
11
01
00
11
11
11
01
01
10
10
01
01
01
10
01
11
10
10
10
00
00
00
10
11
00
10
01
00
00
00
00
10
00
01
10
11
10
11
11
00
01
10
00
10
01
01
10
10
00
11
01
10
11
00
01
10
00
00
00
00
10
11
10
10
00
10
10
00
00
10
10
00
00
01
00
01
00
10
10
11
00
01
10
01
10
10
11
00
00
10
11
00
10
11
11
00
10
11
00
10
01
01
01
11
01
10
10
10
11
01
11
00
00
00
11
10
00
10
10
00
00
00
11
01
10
00
00
00
01
00
01
01
10
00
00
00
10
10
01
10
01
10
10
00
10
01
00
01
11
01
00
10
10
10
10
00
00
10
10
01
00
11
11
10
10
10
00
00
10
01
01
01
00
11
01
10
01
10
00
01
00
10
10
00
10
10
01
10
10
01
11
10
00
00
10
10
00
00
01
11
10
01
10
10
11
00
01
11
11
00
00
10
10
00
00
01
10
01
10
10
10
01
00
11
00
01
11
00
11
01
00
10
10
00
10
10
01
00
00
11
01
10
01
01
10
10
01
01
11
11
00
11
11
01
00
00
10
00
01
10
00
00
10
10
11
11
11
10
00
01
11
00
10
10
00
11
11
10
01
00
11
11
10
00
00
11
10
11
00
00
01
11
00
00
11
10
01
10
00
00
10
00
01
10
10
10
11
00
10
11
01
00
00
00
01
01
10
10
10
01
10
10
10
00
10
00
00
10
10
01
01
10
00
10
00
01
10
10
01
01
11
10
01
00
00
01
10
00
00
10
10
00
10
11
01
01
10
00
00
11
01
01
10
10
11
00
10
01
01
11
01
10
00
00
10
11
10
01
10
10
01
10
00
10
10
01
00
01
00
10
10
10
10
01
10
10
11
00
01
11
10
00
11
11
10
10
01
10
00
10
01
11
01
10
10
10
10
01
11
00
01
00
10
10
11
00
10
00
00
10
10
10
10
10
00
10
00
10
11
11
10
00
01
00
10
10
00
00
10
11
11
01
10
00
10
10
10
00
01
11
10
00
00
10
10
00
10
10
01
01
00
10
01
11
10
00
11
10
10
00
00
01
01
11
00
01
00
00
00
10
10
00
10
11
00
11
01
10
01
01
11
10
00
01
00
00
10
10
01
01
11
00
01
10
10
00
00
10
10
00
01
10
00
00
11
10
10
10
00
01
01
11
10
11
01
10
00
01
00
10
00
00
10
00
10
00
01
10
11
00
10
10
00
10
00
01
10
01
00
11
10
00
10
00
11
11
00
10
10
10
10
00
01
00
01
00
10
10
11
00
00
01
11
11
10
00
00
10
01
00
00
10
10
10
11
00
11
10
10
00
00
00
10
10
00
00
10
10
01
01
10
10
00
00
00
01
11
10
10
10
10
11
00
00
11
01
10
00
00
11
11
00
00
10
00
00
00
00
01
00
11
10
00
00
01
00
10
11
10
10
00
10
00
01
10
10
00
00
11
11
10
00
01
00
11
00
00
10
11
00
00
10
11
10
00
10
10
00
00
10
01
10
10
10
00
00
11
00
10
11
10
11
01
01
00
00
11
00
00
00
00
10
10
00
10
10
10
01
11
11
00
10
10
01
01
10
10
11
01
00
00
10
10
01
00
00
10
01
00
10
00
10
00
00
10
01
10
01
00
11
01
11
00
11
11
11
10
01
01
00
10
00
01
10
10
00
11
10
10
00
11
11
10
10
10
00
00
00
01
10
10
11
10
00
10
00
10
00
00
10
01
01
10
00
10
11
10
00
00
11
00
10
10
01
01
00
10
00
00
10
11
00
11
11
00
11
10
10
00
11
11
11
01
00
00
00
10
01
01
11
11
01
00
11
00
00
10
10
00
01
11
10
10
01
10
01
11
10
11
00
10
10
00
00
10
00
01
10
11
10
10
01
11
01
00
00
10
00
11
00
01
11
10
11
11
00
01
10
00
01
10
00
01
10
11
10
10
10
11
10
01
00
11
01
01
01
00
01
10
10
01
01
10
10
00
00
10
00
01
11
00
01
10
10
00
11
11
11
11
00
01
10
11
10
00
00
10
10
00
00
10
10
01
01
00
01
10
10
00
00
00
00
11
11
00
00
10
11
00
00
00
01
10
01
10
10
11
01
01
00
01
11
10
11
11
00
00
01
10
11
10
00
01
00
10
10
10
00
10
10
00
01
11
10
00
01
10
11
00
10
10
10
00
00
00
10
10
01
00
10
01
00
00
00
10
00
00
00
00
00
10
00
00
00
10
10
10
10
00
00
00
00
10
10
00
10
01
10
10
10
11
10
01
00
11
10
00
10
10
11
01
10
00
00
00
11
10
00
00
11
10
10
10
11
01
00
00
10
01
10
00
00
10
11
00
11
00
01
10
01
10
10
10
00
10
10
00
00
10
10
00
11
10
11
10
00
10
00
00
11
11
01
11
01
00
10
00
00
01
10
11
01
00
00
00
01
10
10
11
10
00
00
11
00
10
01
00
11
10
10
10
01
01
00
00
01
01
10
00
00
00
10
10
10
11
00
01
11
00
10
00
11
10
10
00
00
10
10
10
00
00
10
00
00
00
00
00
10
00
10
11
10
00
00
01
01
10
00
01
10
01
11
11
10
11
00
10
00
00
00
11
01
11
10
00
01
00
10
00
10
10
01
10
10
00
00
11
10
01
01
10
00
00
11
10
00
00
10
11
01
10
10
01
00
10
11
10
00
01
11
01
10
10
10
10
00
10
10
01
01
01
00
11
10
11
00
00
00
10
10
11
00
00
10
10
11
10
11
00
10
10
00
00
00
11
10
00
00
00
10
10
10
00
10
10
00
10
00
01
10
10
01
10
11
01
10
00
00
10
00
01
11
11
01
00
10
11
11
01
11
10
01
10
01
00
01
00
10
01
00
00
10
00
00
00
10
10
00
00
00
11
10
01
00
10
00
00
00
00
00
11
10
11
00
00
11
10
10
11
10
00
00
00
11
00
10
10
01
00
00
01
10
11
00
01
00
00
10
10
00
01
10
10
00
00
00
11
01
00
10
11
00
00
01
11
00
11
11
00
10
01
00
00
01
10
10
00
11
10
01
00
11
00
00
00
11
10
00
00
00
00
00
00
10
01
00
11
10
11
10
10
00
11
10
01
00
11
10
01
00
10
00
00
00
11
10
00
00
11
11
10
00
00
10
01
01
11
00
01
10
01
10
00
00
10
10
00
00
00
00
11
10
00
10
10
00
10
10
00
00
11
10
10
00
01
10
00
00
00
10
00
00
01
01
00
00
00
11
11
10
00
10
00
11
01
00
01
10
11
00
00
10
11
01
10
00
00
11
10
00
11
10
11
11
00
00
01
10
11
00
00
10
10
00
01
01
10
01
10
10
00
10
00
01
11
00
10
10
10
10
10
01
00
11
10
01
10
10
01
00
00
10
01
00
00
00
10
00
11
11
00
00
11
00
00
10
10
00
01
10
10
01
11
10
11
00
00
10
11
11
11
01
00
00
00
10
00
00
11
10
11
10
01
00
01
10
00
00
01
11
11
11
01
10
11
11
00
01
11
01
01
11
11
10
00
00
10
10
00
10
10
10
00
00
10
10
00
01
10
00
00
01
01
00
10
00
11
11
10
00
00
10
10
00
10
10
00
00
01
10
00
10
10
01
11
00
00
00
00
00
11
10
10
11
01
00
01
00
01
01
01
10
11
01
10
00
00
10
11
11
10
00
00
11
00
10
10
00
01
10
10
10
11
11
10
00
00
11
01
10
11
10
11
10
10
10
01
10
10
11
01
00
11
11
00
10
00
00
01
01
10
00
00
01
00
11
10
10
01
11
00
00
00
00
10
11
11
11
00
00
01
10
01
10
11
00
00
10
00
00
11
01
01
00
10
00
10
10
00
01
00
10
10
01
10
10
11
00
01
11
00
10
10
01
01
01
10
00
11
10
10
01
11
10
11
01
00
01
00
00
00
00
10
00
01
10
10
10
00
10
01
00
00
10
11
11
10
00
01
01
00
10
11
00
00
10
00
11
00
00
01
00
10
11
00
01
10
10
10
10
10
00
10
11
10
11
10
00
01
00
00
10
10
01
01
11
00
00
01
00
10
00
11
10
10
01
10
01
00
00
10
11
00
10
00
00
10
10
00
00
01
00
11
00
01
00
01
10
10
10
11
00
00
11
10
00
10
10
00
00
00
00
00
00
10
10
00
00
00
00
10
10
11
11
01
00
10
00
00
10
11
11
10
10
01
00
00
00
00
10
10
10
11
00
00
10
01
10
11
11
00
00
00
10
00
10
11
10
10
01
01
00
10
01
11
11
10
00
11
00
10
11
00
00
00
10
01
10
00
10
10
10
11
00
01
00
00
00
10
11
00
10
11
00
00
10
00
00
10
11
11
11
00
10
00
11
10
00
10
00
00
00
01
10
00
01
10
00
01
11
10
11
11
00
01
10
01
10
01
00
00
00
11
10
10
00
00
00
01
10
00
00
10
00
10
11
11
11
11
10
11
01
01
10
11
00
01
10
11
10
01
00
00
00
10
10
10
10
00
00
01
10
10
11
01
00
10
10
01
00
11
01
01
00
10
10
01
00
10
10
00
00
00
11
10
00
11
10
00
00
00
00
11
00
10
00
00
10
01
01
10
00
00
10
00
11
00
00
10
10
10
01
10
00
01
10
10
01
00
11
00
00
00
00
10
11
10
10
11
10
10
00
00
01
10
10
10
01
00
10
01
00
11
10
00
10
01
00
00
00
11
00
00
00
11
11
10
10
00
00
11
01
00
10
10
10
00
00
10
10
00
10
11
10
00
00
10
00
10
10
10
00
10
10
00
01
00
11
11
00
10
00
10
00
11
10
00
10
00
01
11
11
00
10
01
10
11
00
10
00
00
00
11
00
00
01
00
11
00
00
10
10
11
10
00
00
10
10
11
10
00
00
00
00
00
11
00
01
11
10
00
11
10
00
01
10
10
10
01
01
01
00
00
10
00
00
11
00
10
00
01
10
11
00
00
10
11
01
01
10
11
11
10
01
00
10
11
10
10
10
10
00
00
00
00
01
10
11
00
00
00
10
00
11
11
00
10
10
10
00
11
00
11
10
01
10
01
01
11
10
00
11
10
00
00
10
11
00
10
10
00
11
00
11
00
00
11
00
10
11
01
01
00
10
10
10
11
00
10
10
00
01
11
11
01
01
10
01
10
01
01
11
10
01
10
10
01
00
11
10
01
00
00
10
11
10
01
00
11
10
11
10
00
00
01
10
10
00
00
10
10
01
00
01
10
10
01
00
01
10
00
00
10
10
00
00
10
10
00
00
01
11
00
10
00
10
00
10
11
00
00
10
00
11
01
00
00
00
10
10
10
10
10
01
00
10
11
01
10
00
00
10
11
01
00
00
01
00
00
00
00
10
01
10
11
11
00
10
10
11
00
11
11
11
00
00
00
00
01
10
11
00
00
10
10
00
00
10
10
10
10
01
10
00
11
11
00
10
10
00
00
11
00
10
10
00
10
00
10
10
10
01
00
00
00
00
10
00
00
10
10
10
00
11
00
10
10
10
00
00
00
11
10
00
00
00
01
10
11
01
11
10
00
00
10
10
00
10
11
00
10
01
00
00
01
10
01
11
10
11
10
00
11
00
00
00
00
11
10
00
01
11
10
01
11
10
00
10
10
01
11
10
10
11
10
01
11
00
00
10
10
10
01
00
01
11
01
10
01
00
11
01
01
10
10
01
01
10
01
00
11
00
00
10
01
01
01
10
10
11
10
01
10
10
01
00
10
11
11
01
00
10
00
00
11
11
00
00
10
00
11
00
10
10
01
11
00
11
10
00
01
10
10
00
00
10
00
00
01
01
01
00
00
00
11
11
11
10
00
10
10
11
10
01
10
10
00
01
10
11
10
00
10
10
10
01
00
11
00
10
00
10
00
00
10
10
00
10
10
01
11
11
10
11
00
00
10
10
01
00
10
00
01
10
10
01
10
00
00
10
10
00
11
00
00
00
10
01
10
10
00
01
01
00
01
10
10
11
00
00
01
10
11
00
00
10
01
01
00
10
11
10
01
11
01
01
11
11
10
00
00
00
10
10
01
00
11
10
00
11
01
01
10
10
00
10
10
00
10
01
11
10
00
00
11
10
10
00
00
11
10
10
01
00
10
11
11
11
00
01
11
00
00
10
10
00
11
10
00
11
00
10
11
01
00
11
11
00
01
10
11
11
01
10
11
00
01
00
00
10
00
01
00
10
10
01
10
00
10
00
10
10
00
00
10
10
00
10
11
11
11
10
10
00
10
10
00
10
00
10
00
11
00
00
10
10
11
10
10
00
10
01
00
10
10
01
01
10
11
01
00
10
00
00
00
01
11
01
01
11
10
00
01
10
11
01
01
10
11
11
01
10
10
11
11
01
00
00
01
10
10
00
00
11
01
10
10
00
10
00
00
10
01
10
10
11
10
11
10
01
00
10
10
10
10
00
10
11
00
01
10
01
11
00
00
10
10
01
11
10
10
00
00
01
11
10
10
01
01
11
10
00
00
11
00
10
11
00
00
01
00
00
01
11
11
00
10
00
00
00
00
11
10
00
00
00
01
01
01
11
01
00
11
01
10
01
00
11
10
10
00
00
10
11
00
01
01
00
11
10
10
10
11
01
10
01
10
11
01
00
10
10
10
01
00
01
10
11
00
01
11
10
00
00
00
10
10
00
01
11
10
00
00
10
11
11
00
01
10
00
01
11
11
11
10
00
11
00
11
00
01
10
11
10
10
00
10
11
00
00
00
10
11
00
10
00
10
11
00
00
00
10
00
01
10
10
00
00
00
10
00
00
00
00
11
10
11
10
10
01
00
01
00
10
11
00
01
11
01
10
10
10
00
10
10
01
00
11
10
00
10
10
01
00
00
11
00
00
00
11
00
01
10
10
00
00
11
10
10
00
11
10
00
10
01
00
01
00
11
00
10
10
00
00
10
00
11
00
10
10
10
00
10
10
00
01
00
10
00
11
11
00
11
01
10
01
11
10
10
01
01
10
00
00
00
11
01
01
10
11
11
10
10
00
00
10
10
00
01
10
11
11
10
00
00
10
10
00
10
01
10
11
00
10
10
10
11
01
01
11
11
10
10
10
01
01
10
11
11
11
11
10
01
00
00
10
10
01
11
10
01
10
00
10
10
01
10
01
11
00
00
01
10
11
01
00
01
10
00
00
10
10
00
00
11
01
11
11
00
10
00
00
11
11
00
10
01
00
10
00
11
01
00
10
10
10
00
00
00
00
01
11
00
10
11
10
00
00
10
11
10
01
01
11
01
10
10
10
11
00
01
11
10
10
11
10
11
10
01
00
00
00
10
11
01
10
00
10
11
10
00
10
00
00
01
10
11
00
00
10
00
00
11
10
00
00
10
10
11
10
00
00
10
01
10
11
10
11
00
10
01
00
01
10
10
11
10
11
00
00
10
10
00
01
00
10
10
10
10
10
00
10
00
00
01
00
10
11
10
10
00
10
00
11
01
01
10
00
10
01
01
01
10
10
10
00
00
10
00
00
00
00
10
01
10
10
10
01
10
00
10
10
00
00
01
10
10
01
11
11
10
00
00
10
10
01
01
00
00
11
10
11
00
10
10
01
01
01
10
10
00
11
11
00
00
11
10
01
00
11
01
10
11
01
10
01
00
10
00
00
11
10
00
01
00
11
10
01
10
01
00
01
00
10
11
10
01
00
01
11
00
10
00
01
10
10
10
10
00
10
11
00
10
00
01
01
10
10
01
10
10
00
01
11
00
10
10
11
11
10
10
11
00
01
10
11
00
01
10
00
10
10
00
00
00
10
10
00
00
10
10
01
10
10
10
00
10
10
11
01
11
10
10
11
00
11
10
00
00
11
00
10
00
11
01
10
11
10
11
10
00
00
10
10
00
00
00
01
10
10
00
01
00
10
11
00
00
11
10
10
11
01
10
10
01
00
00
10
00
11
11
11
00
01
10
00
10
10
10
00
01
01
01
11
10
01
00
11
01
10
10
00
00
11
00
01
00
00
10
10
10
00
01
10
00
01
10
11
10
00
10
00
10
10
11
10
11
00
00
10
00
11
10
01
00
11
10
00
10
00
10
11
10
10
01
00
10
00
11
11
00
00
10
10
11
00
01
01
11
01
10
00
11
00
00
00
11
10
10
00
00
00
10
10
11
10
10
10
10
00
10
00
00
00
10
01
00
10
00
01
10
11
10
00
10
10
00
00
10
00
11
11
00
01
10
10
11
10
00
01
11
10
11
10
00
10
11
00
11
11
00
10
10
00
01
11
11
00
01
00
11
00
10
11
10
11
00
00
10
00
00
10
11
01
10
01
10
11
10
00
00
00
10
10
10
00
00
00
00
11
10
10
10
10
00
00
01
11
01
01
10
10
11
11
00
10
11
01
00
10
00
10
10
11
10
10
10
00
01
01
11
00
00
10
01
11
11
00
00
10
01
00
10
01
10
00
00
01
00
11
10
00
00
10
01
11
11
10
00
01
11
01
01
10
11
01
10
01
01
11
10
01
01
00
00
00
10
11
10
10
00
10
10
00
11
10
10
11
00
00
10
10
10
00
01
01
00
01
10
10
10
11
11
11
00
00
10
00
10
10
01
10
10
00
11
01
11
01
00
00
10
00
01
00
11
10
00
01
10
10
11
01
11
00
01
00
10
00
10
10
01
01
01
00
00
10
10
11
10
10
01
11
11
01
01
01
10
11
00
01
11
01
01
11
10
00
00
10
10
00
00
10
11
00
01
10
10
10
10
01
00
10
10
10
11
10
00
01
01
01
10
00
00
01
01
01
10
11
10
01
00
10
10
01
10
10
10
00
00
00
00
00
10
11
10
10
01
11
00
10
11
10
10
00
11
10
10
00
01
00
10
10
11
00
00
00
10
10
01
10
00
10
10
10
10
01
00
10
01
01
10
01
00
00
10
00
00
11
10
10
11
00
11
10
11
10
00
10
00
01
11
11
00
10
00
10
10
00
00
00
00
00
11
01
10
00
10
00
10
10
01
00
10
11
10
01
11
01
10
11
01
11
10
00
01
01
10
10
11
00
00
10
00
10
11
10
00
10
00
00
00
11
10
00
11
10
01
00
11
10
10
10
00
10
01
10
11
00
00
11
00
10
11
00
10
00
01
01
11
01
00
00
01
10
10
00
00
00
10
10
00
11
01
00
10
00
11
10
00
10
00
01
01
10
11
00
00
10
00
00
01
10
10
10
01
01
11
11
10
10
10
01
00
01
10
01
10
10
10
01
10
10
01
01
00
00
00
11
00
01
11
11
00
01
10
11
10
10
10
01
00
10
10
00
10
00
11
01
11
10
11
00
11
10
00
01
00
00
10
10
10
01
01
10
10
00
11
10
00
00
00
10
01
10
10
01
00
10
00
01
00
10
11
10
11
00
00
10
00
00
11
11
00
00
00
10
01
10
10
00
01
11
00
11
10
10
00
00
10
10
10
00
00
00
11
00
00
10
01
00
00
00
01
00
10
11
00
10
11
10
01
00
00
10
01
10
10
11
00
11
10
00
10
00
00
10
10
10
00
00
10
10
00
01
10
00
00
01
00
01
01
10
10
10
01
11
10
00
10
10
10
11
10
01
10
00
01
01
00
10
01
00
11
00
10
11
01
01
11
10
00
00
10
01
10
00
00
00
01
01
01
10
10
00
01
10
11
00
01
11
10
10
10
01
10
01
00
11
10
00
11
10
10
00
01
00
00
10
00
10
11
10
00
00
10
10
00
10
10
01
01
11
00
00
11
10
10
00
00
10
01
10
00
00
10
00
00
10
11
10
00
10
01
01
10
01
00
00
00
00
10
10
10
10
00
00
00
01
00
11
10
00
01
00
00
11
10
01
01
10
01
00
00
11
00
10
10
00
00
11
11
10
11
10
11
01
10
00
10
00
10
00
00
00
01
11
00
11
00
01
10
10
11
11
10
00
01
00
10
10
11
10
00
00
00
10
10
10
01
00
01
10
10
10
10
00
11
01
10
10
01
10
01
11
00
10
10
10
00
10
00
10
10
00
11
00
11
10
10
11
01
00
00
00
11
10
00
01
00
01
11
11
11
10
10
01
10
11
01
11
10
00
00
10
01
01
01
10
01
01
01
01
10
01
10
10
00
01
10
10
10
00
01
11
00
00
11
11
11
10
00
00
00
11
10
10
01
10
00
00
00
11
11
01
00
10
10
00
11
10
11
00
00
10
10
00
10
10
00
00
00
10
10
00
00
01
01
01
10
00
10
10
10
10
11
10
00
00
10
10
00
10
00
10
01
10
10
01
11
10
00
11
00
00
00
00
10
11
00
11
10
11
01
00
11
00
10
11
10
00
10
00
01
00
01
11
00
00
10
00
01
00
10
11
11
11
00
01
00
10
11
00
01
10
10
00
10
10
10
11
00
00
01
00
00
11
00
11
00
01
00
00
10
10
01
00
00
10
01
01
00
10
10
01
00
00
10
10
10
10
10
00
10
10
00
01
10
11
10
01
01
00
00
00
01
00
10
11
11
10
01
00
00
10
11
00
11
10
00
10
00
01
01
10
10
10
10
00
10
01
11
11
11
10
00
11
10
00
00
10
01
11
10
00
10
10
00
01
10
11
11
00
10
11
01
10
00
10
10
01
00
00
10
00
00
00
01
10
01
10
00
00
10
10
01
10
11
10
01
00
11
00
00
10
10
10
00
00
10
10
10
11
00
00
00
10
10
10
00
00
11
10
01
11
11
10
11
00
01
00
11
01
00
10
00
10
00
00
11
00
11
00
01
11
00
11
11
00
00
10
11
00
00
10
10
00
00
10
00
10
10
10
10
01
11
01
10
10
00
00
00
11
10
00
11
01
10
10
10
00
00
10
11
01
11
00
01
10
10
11
00
00
01
10
10
00
10
00
01
10
00
00
00
01
10
00
10
11
11
10
00
10
00
10
10
00
00
01
11
11
10
11
10
00
00
01
10
10
11
01
10
10
01
00
01
10
10
11
00
11
00
01
10
00
10
10
00
01
10
01
00
00
00
10
00
00
00
11
11
00
10
11
10
11
11
00
01
00
11
10
00
10
10
11
01
10
01
00
10
11
10
10
10
10
00
00
00
00
10
10
10
00
10
10
11
11
00
10
00
11
00
10
11
10
10
01
00
01
11
10
01
10
10
10
10
00
01
10
10
10
00
00
10
00
00
11
01
00
00
10
00
00
10
01
11
11
01
10
00
00
00
10
11
00
00
10
10
01
00
10
00
01
10
11
10
00
01
01
00
01
00
11
10
00
00
00
11
10
10
00
00
00
00
10
10
01
11
10
11
01
00
01
00
10
00
00
10
10
00
00
11
00
10
01
10
00
10
10
00
01
10
10
10
10
00
01
10
11
11
00
01
01
11
00
00
11
11
00
00
10
10
00
00
10
10
00
10
00
00
10
00
01
10
11
11
00
10
10
10
10
01
01
00
10
11
10
01
10
11
10
00
10
01
00
11
10
01
10
00
00
10
00
10
10
00
00
10
10
11
10
00
00
11
00
00
00
00
10
10
10
11
10
11
10
00
00
00
10
10
10
00
00
00
00
10
00
01
10
11
00
00
00
00
11
00
01
11
11
01
00
00
10
10
01
11
11
10
00
00
01
11
01
00
10
10
00
01
11
10
00
11
01
10
10
00
10
10
10
11
11
00
00
01
01
10
10
00
10
10
11
10
00
10
01
11
00
11
10
11
00
01
11
11
10
00
10
10
10
01
00
00
01
10
11
10
01
00
00
10
00
10
10
10
00
01
10
10
10
10
10
00
01
00
10
10
00
00
11
00
00
11
10
01
11
00
10
00
10
11
00
10
00
11
11
10
10
01
10
10
01
00
10
00
10
00
11
10
00
10
10
10
00
00
10
00
10
10
01
10
10
10
01
10
00
01
01
00
01
10
11
11
01
00
00
11
10
11
00
00
10
10
01
10
10
01
11
00
00
10
00
10
00
01
10
00
01
10
10
10
10
11
00
01
11
11
00
01
00
10
11
01
00
00
10
10
11
11
00
11
11
10
00
11
11
11
10
01
01
00
10
00
10
00
10
11
10
00
11
10
10
11
10
00
01
01
10
10
00
00
00
10
10
10
01
11
10
00
01
10
10
01
10
10
10
00
10
00
01
10
00
11
01
10
10
01
10
00
10
10
11
00
10
11
01
01
00
10
01
10
11
11
00
00
00
01
10
11
00
01
10
00
00
10
11
00
00
10
10
00
10
00
00
11
11
10
00
00
10
00
00
10
00
00
10
10
00
01
10
00
10
00
10
10
00
00
10
00
00
00
11
01
00
01
01
10
00
01
00
01
11
01
10
10
00
10
00
00
10
01
01
10
10
11
10
10
11
11
01
00
00
10
11
01
00
00
11
11
10
11
00
11
10
11
00
10
10
00
10
01
00
00
10
00
10
10
11
01
01
10
00
00
10
01
10
00
10
10
00
01
00
00
01
11
01
10
01
00
00
11
10
00
00
00
10
10
00
10
00
10
11
10
01
10
11
11
11
01
00
10
00
10
11
00
10
11
00
01
11
00
00
10
10
01
00
10
00
01
00
10
01
10
10
01
01
00
00
10
11
11
00
11
00
10
10
00
10
01
10
10
10
00
10
00
01
00
11
11
00
11
10
10
11
10
00
00
11
11
00
00
10
10
01
00
11
11
00
11
00
00
10
10
01
00
01
10
11
10
01
00
11
00
00
01
01
11
10
11
11
10
11
01
11
11
10
00
00
10
10
11
00
01
00
11
10
10
10
01
00
01
01
11
11
00
00
00
10
00
00
11
11
10
10
10
10
00
11
00
00
10
10
11
10
10
10
10
01
00
00
10
11
11
01
01
10
10
00
10
10
11
00
01
11
10
00
01
00
10
11
00
01
10
10
01
00
10
10
10
10
10
00
00
10
10
00
11
01
11
00
00
10
10
00
00
00
11
10
00
00
10
00
10
11
00
01
00
00
01
10
10
00
00
10
10
00
10
00
00
00
10
10
00
10
10
00
10
00
00
00
00
11
10
10
00
10
01
00
00
00
10
10
01
01
10
10
01
00
10
11
00
00
00
10
00
10
00
01
10
10
11
10
10
01
01
01
10
10
00
11
01
00
11
10
11
00
00
11
10
11
01
00
11
11
00
10
00
00
10
11
01
10
10
10
10
10
00
00
11
10
00
01
11
00
00
00
11
11
00
10
11
10
11
10
01
10
00
10
00
00
10
10
01
10
00
01
00
10
10
01
10
10
00
10
00
01
01
00
11
00
11
10
10
01
01
10
11
00
01
10
10
11
10
00
11
11
00
10
00
01
01
00
01
10
10
00
00
10
10
11
01
00
11
10
01
10
10
00
00
10
00
01
10
10
10
01
01
00
11
10
00
00
00
11
10
01
00
01
00
00
00
01
00
10
11
10
10
11
00
10
00
00
01
11
00
00
10
10
10
00
10
11
10
01
10
10
01
10
00
11
01
00
10
11
11
10
10
10
00
01
10
01
01
11
00
01
11
10
10
00
11
10
01
00
10
01
00
01
00
11
10
01
01
11
11
00
00
01
11
10
00
00
10
10
10
00
11
01
10
00
00
10
10
01
11
10
11
11
10
01
01
11
01
00
00
01
00
01
10
10
01
11
10
01
11
10
10
10
10
10
01
01
11
11
00
00
10
10
10
10
10
01
10
10
10
10
10
11
00
01
00
10
00
00
10
10
01
00
10
00
00
10
10
10
11
00
11
10
01
10
00
00
10
00
01
10
10
00
00
01
10
11
11
00
00
10
01
01
10
10
00
00
10
10
10
00
00
10
10
10
11
01
00
10
00
00
11
00
11
11
00
10
10
10
10
01
01
01
00
00
11
01
11
00
01
10
10
10
11
00
01
01
11
01
10
10
01
11
00
11
10
00
10
01
00
11
10
00
11
10
01
01
00
10
00
10
11
10
00
10
00
00
10
00
00
00
10
00
10
10
00
10
10
00
01
01
10
10
10
00
11
11
10
10
01
11
11
10
11
01
11
01
01
10
10
01
00
10
10
00
00
00
01
10
00
00
01
10
01
00
01
00
11
11
10
01
00
11
00
11
10
00
10
10
10
00
10
10
00
00
10
00
00
00
10
00
00
00
11
10
01
11
00
11
00
11
11
00
11
10
00
01
10
10
00
11
10
10
10
10
11
00
10
00
00
01
01
11
11
00
01
01
00
10
10
01
00
00
10
10
10
11
10
00
01
00
00
10
10
10
10
00
00
00
00
00
00
01
10
01
00
11
10
10
01
10
01
10
00
00
00
00
00
10
01
00
10
10
10
10
00
10
10
10
00
10
10
11
01
00
11
11
11
00
11
00
11
10
00
00
10
10
00
00
10
11
10
01
00
00
00
11
00
01
01
01
10
11
01
00
00
10
11
00
00
10
10
00
01
10
10
10
01
01
10
01
10
01
01
00
00
10
11
00
00
11
00
11
10
00
11
10
00
00
00
10
10
00
00
10
00
10
11
11
00
10
00
01
11
01
01
00
11
01
01
00
10
10
00
01
10
10
00
00
10
10
11
10
11
10
00
00
11
00
00
00
11
10
00
00
11
01
00
10
11
11
10
00
01
10
00
10
01
01
10
10
11
10
11
11
10
01
01
00
11
11
00
10
10
00
00
00
00
11
10
11
10
00
10
00
11
11
00
10
00
10
00
00
00
01
00
10
00
00
10
01
00
10
10
10
00
10
00
00
11
10
11
00
00
00
10
10
00
11
11
01
00
01
10
00
10
10
10
10
00
00
00
00
10
11
00
11
10
00
10
00
00
10
01
00
10
00
11
10
10
00
01
10
00
10
10
01
01
01
11
11
11
00
01
11
01
00
00
00
11
10
00
10
11
10
00
10
10
01
00
00
10
00
00
00
01
11
11
01
11
11
10
11
10
10
00
10
10
10
00
00
10
10
00
01
10
10
11
00
10
10
00
10
00
00
10
11
00
10
11
01
10
00
01
00
11
11
00
00
00
11
10
10
10
10
01
00
10
10
10
11
10
11
01
00
10
10
00
00
11
00
01
01
00
10
00
10
00
00
10
10
00
11
00
01
00
10
00
11
00
01
01
10
00
11
11
00
11
10
10
00
01
00
00
01
10
00
00
10
10
01
01
10
01
01
11
01
01
00
11
11
01
10
10
01
10
00
10
10
01
10
10
00
11
00
10
10
00
00
11
00
01
10
10
10
00
00
11
10
00
00
00
10
11
10
11
00
00
01
10
01
10
10
00
01
00
11
11
00
01
00
10
00
11
10
10
00
01
10
11
11
00
00
10
11
00
00
11
00
00
10
10
01
10
01
11
00
01
11
01
11
01
11
11
11
00
01
00
10
00
10
10
00
11
00
01
11
01
00
11
10
01
01
00
01
00
01
10
00
10
01
01
10
00
11
00
11
00
00
10
01
01
11
01
00
10
00
11
00
01
11
10
10
11
11
01
01
00
10
10
10
01
11
10
00
00
10
00
10
10
01
00
00
11
10
00
00
00
10
10
10
01
01
10
10
10
01
10
11
10
00
10
10
01
10
10
00
01
10
00
01
10
10
00
00
10
11
00
01
10
10
10
00
01
11
00
00
00
00
10
11
11
01
11
10
10
00
00
10
00
00
11
00
11
01
11
10
10
00
00
01
10
00
00
10
00
10
10
10
00
10
10
00
01
10
10
10
00
11
10
10
00
00
11
10
10
10
01
00
10
00
00
00
10
00
01
00
10
10
00
00
11
01
01
10
00
10
10
00
00
00
11
11
11
11
10
00
10
10
01
00
10
01
00
10
00
01
11
10
01
00
10
10
01
00
00
11
01
01
00
10
10
11
11
11
11
01
11
01
00
11
00
01
10
10
00
00
01
10
11
01
00
00
11
11
11
01
00
10
10
00
00
10
10
00
01
01
10
01
00
01
00
00
00
11
10
00
00
10
10
00
00
11
01
10
10
00
00
00
11
11
01
00
00
10
00
00
00
10
00
10
10
10
10
10
10
00
10
10
01
10
10
00
01
10
11
00
10
00
01
10
10
00
00
01
10
10
01
01
00
11
11
01
10
00
01
01
01
10
11
11
00
11
11
00
00
01
10
10
10
00
00
10
11
10
10
00
00
00
10
10
10
00
10
11
10
11
00
00
10
11
01
01
11
11
10
00
10
11
10
00
00
00
10
10
00
10
01
10
00
11
00
11
10
00
00
10
00
01
00
11
01
11
01
10
10
00
01
00
01
11
10
00
11
10
10
01
01
00
00
10
10
00
11
11
00
00
00
10
00
10
11
11
10
00
01
11
01
10
10
00
11
00
01
10
11
11
10
00
00
00
10
10
00
00
11
10
01
01
00
11
00
11
10
10
00
01
00
00
11
10
10
00
00
10
11
10
00
00
10
01
00
00
11
00
00
11
10
00
11
10
01
10
11
00
10
01
11
10
01
10
10
11
01
00
10
00
10
10
00
00
01
10
11
10
10
01
00
10
10
01
00
10
10
00
01
10
01
10
11
10
11
00
01
10
10
00
01
10
10
00
00
01
10
10
11
10
00
00
00
10
01
00
00
00
01
10
01
11
11
10
00
01
10
10
00
11
11
11
00
11
00
00
00
00
11
10
00
00
11
10
00
00
00
11
10
00
01
01
01
10
10
00
00
10
10
01
10
11
10
00
11
01
00
00
11
11
10
00
01
11
10
01
10
01
01
01
11
00
10
10
01
01
01
10
10
00
11
00
01
11
10
01
01
00
00
01
10
00
11
01
11
00
00
10
10
01
01
00
10
01
11
10
00
00
00
00
01
10
01
10
11
10
11
00
00
10
10
11
00
10
11
11
00
00
00
00
10
10
00
11
01
11
10
01
01
01
10
00
00
10
10
10
10
00
10
11
10
11
10
11
00
01
10
11
10
00
10
10
01
00
01
10
10
11
11
01
10
00
00
10
10
00
10
10
01
00
01
10
00
01
00
10
11
10
11
01
10
11
00
01
10
00
01
11
01
00
00
10
10
00
00
11
10
11
00
01
10
10
00
00
11
11
10
01
00
01
01
10
10
10
11
00
00
10
11
00
10
10
00
10
00
10
10
00
01
10
00
00
10
10
01
10
00
11
10
01
00
00
11
10
00
10
10
00
00
01
10
01
00
10
00
10
01
00
00
10
00
10
10
10
00
10
10
01
10
00
00
00
10
11
00
00
01
11
01
00
00
00
10
10
01
10
10
10
01
00
00
11
10
10
00
10
01
11
10
11
01
00
00
10
00
10
01
00
10
10
01
00
00
10
10
10
10
00
01
01
01
00
10
10
00
10
11
00
10
01
10
00
10
00
01
01
11
00
00
11
11
10
01
00
11
01
00
10
00
11
00
00
10
10
00
00
10
10
00
10
00
10
01
11
10
00
11
10
01
01
00
10
10
00
10
10
00
00
10
01
10
11
11
00
10
01
00
11
11
01
10
10
00
00
00
11
11
00
10
01
00
11
10
00
01
00
11
10
01
00
11
01
00
10
10
10
01
00
10
10
00
00
11
00
01
10
11
00
10
11
01
01
11
10
00
10
10
00
01
10
00
00
10
11
01
10
10
00
00
11
11
01
01
10
00
00
01
10
10
10
00
00
10
00
11
10
00
00
11
10
00
00
00
10
11
00
10
10
10
00
00
10
00
00
11
10
10
01
00
10
10
10
00
11
11
01
11
10
10
11
00
10
10
00
00
01
10
11
11
00
00
11
00
00
10
00
00
00
11
10
10
10
11
00
10
01
11
01
00
00
11
10
00
00
00
10
10
01
00
00
10
10
10
00
01
00
10
10
01
00
00
00
10
10
10
00
00
10
10
00
10
10
11
10
11
11
00
10
10
11
01
10
10
10
00
11
10
00
10
00
11
00
00
10
11
10
01
01
00
00
10
10
10
00
01
00
00
10
00
00
00
00
10
10
00
10
00
00
10
11
01
00
11
10
10
10
01
00
01
01
11
00
00
00
01
01
11
10
10
10
11
00
01
00
11
11
11
01
00
10
10
11
10
00
00
11
11
10
01
00
00
10
00
00
01
11
11
00
01
10
00
10
00
10
11
00
01
10
10
11
00
01
11
10
01
00
11
00
10
11
00
00
10
11
10
10
00
00
01
10
11
10
00
01
10
01
11
01
00
01
10
10
10
01
11
00
11
10
00
11
10
00
01
00
01
11
00
00
10
10
01
10
11
00
11
01
11
11
01
10
10
00
00
00
10
10
10
10
10
00
00
10
01
01
00
10
01
10
11
11
00
11
11
00
00
00
10
10
11
01
00
10
01
00
00
00
00
01
10
10
10
00
11
10
01
10
00
11
01
00
00
01
10
10
00
11
00
01
00
10
00
00
00
10
00
00
10
01
01
10
10
10
10
01
01
11
00
01
00
11
00
00
10
11
00
11
01
01
10
11
00
10
01
01
00
11
10
10
00
10
10
00
11
01
10
01
11
10
00
11
01
10
10
00
11
10
10
00
00
00
01
00
10
10
11
10
00
00
00
00
11
10
11
01
00
10
11
00
10
00
01
10
10
11
01
11
10
00
00
00
00
00
10
00
01
00
00
00
10
11
00
10
11
10
10
10
00
01
11
10
00
00
10
01
10
11
10
11
00
11
10
00
00
11
11
10
00
01
10
00
00
10
10
10
00
11
10
10
00
00
10
10
10
00
10
11
10
01
10
01
00
00
11
11
11
11
10
00
00
11
00
00
10
10
00
00
10
11
11
00
10
01
11
10
10
00
10
10
00
11
00
00
01
00
01
00
00
00
10
11
11
11
00
01
10
10
10
10
11
01
11
00
00
10
10
00
10
00
01
10
11
11
00
01
01
10
11
00
10
10
00
00
00
11
00
10
10
01
00
00
10
10
11
00
00
00
11
10
00
01
10
10
00
00
00
11
00
00
10
01
01
00
00
00
00
11
00
10
10
01
11
10
00
00
10
11
00
00
11
01
00
00
01
11
11
00
10
00
00
00
01
10
10
11
00
00
01
00
10
00
11
01
00
01
11
01
01
01
01
00
10
10
00
00
10
10
01
10
10
11
11
00
01
10
01
00
11
00
00
10
10
10
00
00
10
10
00
01
10
10
10
11
10
10
00
00
01
00
10
10
00
01
00
00
10
00
00
00
01
01
01
00
10
00
01
11
00
01
10
10
10
10
11
00
01
10
01
00
10
11
00
10
10
00
00
11
10
11
10
00
10
11
00
10
00
01
10
01
00
00
10
10
11
10
10
10
00
01
01
01
10
10
11
00
10
00
10
10
11
01
00
10
01
10
00
11
11
00
00
00
11
01
11
00
01
10
10
10
00
01
10
00
00
10
11
01
01
01
11
11
01
00
10
00
00
11
11
01
01
10
11
10
10
10
10
00
00
10
01
10
11
00
10
10
11
10
01
10
01
10
10
00
00
11
01
00
11
10
10
11
10
11
10
10
01
01
11
00
00
01
10
11
10
00
00
10
11
00
11
10
01
10
01
10
01
00
11
10
01
11
10
01
00
00
11
10
01
11
01
00
10
10
00
10
10
10
01
01
10
00
00
00
01
10
11
00
00
10
11
00
10
00
00
10
00
00
10
01
10
10
00
00
01
10
10
11
11
00
00
10
00
10
00
00
10
10
00
00
01
01
00
00
01
00
00
00
00
10
01
00
11
10
00
01
10
10
11
10
01
10
10
00
01
10
01
00
11
11
01
00
11
00
11
10
01
01
10
11
10
10
00
00
10
10
10
10
10
10
11
00
00
10
00
00
11
00
00
11
10
10
01
01
10
10
11
01
00
00
00
10
00
11
00
01
10
00
11
00
01
00
10
10
10
00
00
10
10
10
11
10
00
10
10
00
10
00
00
10
11
11
10
11
00
01
00
00
10
10
00
00
00
11
11
00
00
11
11
11
11
10
00
00
10
01
01
00
11
00
10
11
10
11
10
00
01
10
10
00
10
10
10
00
10
11
01
10
10
01
01
10
11
00
00
01
10
11
01
00
00
11
11
10
10
00
00
11
10
10
10
00
01
00
11
00
01
11
01
10
10
11
00
10
11
10
00
10
10
00
10
10
01
00
10
00
10
11
00
10
10
00
00
10
10
00
00
00
11
00
10
00
00
10
00
10
11
00
00
10
00
00
10
01
00
11
11
00
10
10
10
00
10
10
11
10
00
00
00
10
11
10
11
00
00
00
10
10
11
01
10
01
00
00
11
10
00
00
10
00
00
10
00
10
11
11
11
10
10
01
10
01
10
00
01
11
00
00
11
10
00
10
10
00
01
00
01
10
10
10
10
01
00
10
00
11
00
11
00
00
10
11
10
10
00
11
00
10
00
00
10
00
00
10
00
00
10
10
00
10
00
10
00
10
10
11
11
01
01
10
10
01
00
11
00
01
10
10
01
10
00
01
01
10
00
01
10
00
11
10
01
01
00
00
10
00
00
10
10
00
00
00
00
11
00
01
11
10
01
10
10
00
10
10
10
10
00
11
10
10
00
01
00
01
00
10
10
00
11
00
10
11
11
01
10
11
11
11
00
10
00
10
10
00
11
10
00
10
00
10
01
01
11
11
01
00
01
00
01
10
10
00
00
00
00
00
11
01
01
10
00
10
11
10
01
00
11
01
01
11
11
10
10
10
01
00
10
10
00
00
10
01
00
00
01
11
00
10
01
01
10
11
00
10
01
00
10
00
00
00
11
11
00
10
00
00
10
01
10
01
00
10
00
11
10
01
10
01
00
10
01
11
10
01
00
11
10
11
00
01
00
10
11
10
10
00
00
11
00
00
00
01
10
11
00
10
00
00
11
10
00
00
10
10
00
00
01
01
10
01
10
10
10
00
01
11
10
01
00
11
01
10
10
10
00
10
10
01
10
00
00
10
11
10
11
00
10
00
11
00
00
00
10
10
00
10
10
10
00
00
11
01
11
10
11
10
00
11
00
01
10
11
01
10
11
00
10
10
10
00
11
10
00
01
00
11
00
10
10
01
00
10
10
00
00
10
11
00
00
10
00
11
10
10
00
10
11
10
10
00
01
11
00
00
10
01
01
11
11
01
01
11
10
11
10
00
01
00
01
11
10
10
01
00
00
10
11
00
10
10
10
00
10
01
00
11
00
11
10
10
00
11
11
00
11
00
00
00
00
10
11
01
01
01
10
10
11
10
01
10
10
00
10
10
00
10
11
01
00
11
01
10
00
00
00
10
10
10
00
01
10
11
00
10
11
00
10
01
00
10
00
00
10
00
10
00
00
10
10
00
00
00
00
10
00
10
00
10
01
11
10
01
01
00
11
01
11
11
10
01
10
10
01
00
11
10
10
00
01
01
00
11
00
10
10
00
10
00
00
11
01
10
11
11
10
10
00
00
10
00
01
10
00
01
10
01
00
00
00
11
10
11
00
01
11
11
10
11
10
11
01
10
00
00
10
10
11
10
00
10
00
10
00
00
10
00
00
00
00
00
00
11
00
00
11
10
11
10
00
10
00
10
10
01
00
10
10
11
01
00
11
11
00
11
01
11
11
01
00
11
00
11
11
00
10
10
00
00
00
11
10
00
00
10
00
00
00
10
00
00
10
01
01
10
10
00
10
10
10
01
00
10
00
11
10
10
01
00
11
10
11
00
10
01
10
10
11
10
00
10
11
00
01
10
10
10
00
00
01
10
11
00
10
10
10
10
00
01
10
10
11
10
11
10
10
00
10
00
10
00
10
00
10
00
11
00
00
00
01
11
10
10
11
01
11
00
11
00
10
10
00
01
00
00
10
10
01
01
10
00
10
11
00
00
10
00
10
00
10
10
10
11
00
01
01
11
01
00
00
10
01
00
00
00
00
10
11
10
10
01
11
10
01
01
11
00
10
11
11
00
00
10
11
10
00
00
11
01
10
11
01
01
10
00
01
01
10
01
10
10
11
00
00
11
10
01
00
10
11
10
10
10
00
11
00
00
10
10
00
00
10
00
11
00
00
11
11
10
01
10
11
10
00
00
10
01
01
11
10
11
10
10
00
01
10
00
00
01
10
10
00
10
00
01
00
00
10
10
01
10
00
00
01
10
00
10
11
10
00
11
00
10
11
00
00
11
00
10
00
01
00
11
11
00
10
01
00
10
01
11
10
00
01
10
10
11
01
10
11
10
01
01
10
00
10
10
01
11
01
00
00
10
11
00
00
10
10
00
10
00
11
01
01
11
00
01
11
10
01
00
10
11
00
01
10
10
00
00
10
10
00
00
10
10
00
10
00
10
10
00
10
10
00
10
10
11
10
00
10
11
01
10
11
11
10
10
01
11
00
00
10
11
00
00
11
11
11
01
11
01
00
10
00
10
11
00
00
10
01
00
10
00
00
01
11
00
11
10
01
01
10
10
01
10
10
00
00
01
11
01
10
10
10
10
10
10
00
01
10
00
01
00
01
00
00
11
00
00
10
00
00
00
00
10
11
10
01
00
10
10
11
00
10
01
00
10
10
11
00
00
10
10
00
01
00
10
11
01
10
01
10
11
00
00
10
01
10
00
00
10
01
01
00
10
11
10
00
10
01
10
11
00
01
00
10
10
01
10
11
10
00
00
11
11
00
10
01
10
00
00
10
10
10
00
10
00
10
11
00
01
10
00
00
10
11
11
01
00
10
10
00
01
10
11
01
01
00
00
00
11
10
11
00
10
10
01
00
00
01
00
11
10
11
10
01
11
10
10
01
10
10
01
10
10
10
01
01
11
00
01
00
00
10
01
00
10
10
00
00
11
00
10
10
00
10
10
11
10
10
10
10
10
00
01
00
10
10
00
10
10
01
01
00
00
00
00
10
00
10
10
10
10
01
01
11
01
10
10
00
01
01
10
11
00
11
11
11
00
11
10
00
01
10
00
01
10
10
00
10
01
01
00
11
11
00
10
10
10
10
00
00
01
00
00
00
11
10
10
01
01
00
11
10
10
10
01
01
00
10
10
11
11
00
01
00
00
10
00
10
00
01
01
00
11
10
01
00
01
10
10
00
01
10
10
11
00
00
10
00
10
11
01
10
01
01
00
10
10
00
10
10
00
10
00
00
00
01
10
00
01
00
11
00
11
11
00
10
10
01
00
00
11
10
01
00
01
00
01
00
01
10
11
11
01
11
10
00
00
11
01
00
10
11
00
10
00
01
10
11
01
00
00
10
00
00
10
10
10
00
11
01
00
01
10
10
00
00
00
10
01
01
00
00
10
10
10
10
11
00
00
11
00
10
10
00
00
11
11
00
10
00
11
00
00
00
11
11
11
10
00
01
11
10
00
00
10
00
00
00
11
00
00
10
10
11
00
00
10
11
11
11
00
00
10
00
00
10
00
10
10
00
10
11
10
11
11
11
10
11
00
00
10
11
00
01
11
00
01
10
11
00
00
10
11
10
01
01
10
11
00
10
00
00
10
10
00
01
11
01
00
00
01
10
01
01
11
10
00
10
11
00
01
11
11
00
10
01
00
11
10
00
01
00
10
10
01
00
00
10
00
11
10
00
01
11
10
00
00
01
00
10
00
10
01
01
00
11
10
00
11
10
11
10
01
00
11
10
01
10
11
11
10
10
01
10
11
00
10
10
01
10
10
01
00
10
00
10
11
00
11
10
11
10
00
11
00
10
10
10
00
00
00
01
00
10
11
00
01
10
01
10
00
11
10
00
00
00
00
00
00
10
10
01
11
10
00
00
10
11
01
10
00
11
01
00
00
01
10
00
01
00
10
01
00
01
00
00
10
10
00
11
00
10
01
00
00
01
10
00
00
01
01
10
00
00
00
10
10
10
00
10
01
11
00
01
01
10
00
11
10
00
10
11
11
01
00
10
10
10
00
00
00
01
10
00
10
11
00
00
11
10
11
00
00
01
01
10
11
10
00
10
10
00
01
11
10
10
10
10
10
00
10
00
01
10
10
00
00
00
10
10
11
10
10
01
01
00
00
00
10
10
10
00
00
01
10
00
11
10
10
10
10
10
01
11
00
00
10
11
00
10
10
11
11
11
01
00
10
10
10
00
00
11
10
01
11
01
00
11
01
11
11
00
01
10
10
10
00
11
11
00
00
01
00
11
00
10
10
00
00
00
10
00
00
10
10
10
01
10
10
10
01
01
10
11
00
10
00
10
10
00
11
10
00
01
00
01
01
11
10
01
00
10
00
10
10
01
00
00
10
10
01
00
10
11
11
11
00
01
11
00
01
00
00
10
00
00
10
10
00
00
00
10
00
00
10
01
11
01
00
10
00
10
00
00
10
11
00
10
10
00
01
00
11
10
01
01
10
10
00
00
00
01
10
01
01
11
10
01
10
10
01
00
00
00
11
00
00
10
10
11
00
00
00
11
00
11
00
00
01
01
11
01
11
11
10
01
11
00
01
10
01
01
10
10
10
11
00
10
10
00
11
10
00
10
00
00
10
00
00
01
01
10
00
10
11
11
00
00
11
00
10
10
00
11
10
00
11
10
01
11
10
01
00
11
01
10
00
11
00
00
10
00
00
00
01
11
01
10
11
10
00
00
01
11
10
01
10
00
00
11
00
00
10
10
01
11
00
01
10
11
00
11
10
10
01
00
10
00
00
00
10
10
00
10
01
00
01
00
01
10
00
10
10
01
10
10
00
00
11
01
00
10
00
00
11
01
00
10
00
10
11
11
10
01
01
11
10
01
10
10
00
00
01
10
10
10
00
01
01
10
10
11
10
00
00
10
00
10
10
00
10
00
00
11
11
10
11
01
10
11
00
10
00
00
11
10
10
10
01
01
00
10
00
11
10
00
00
00
00
10
10
00
10
10
11
00
00
01
00
11
00
01
10
00
01
10
10
01
01
10
11
00
00
10
10
10
01
00
00
10
01
10
10
11
00
00
10
10
01
10
00
00
00
11
10
00
11
00
01
11
10
11
10
10
00
00
10
00
00
10
00
10
11
11
01
01
00
11
10
10
10
01
01
10
11
10
01
10
10
11
00
00
10
10
00
10
00
01
01
11
00
10
00
01
01
10
10
11
01
10
11
01
11
11
00
10
00
00
11
01
00
10
00
01
11
00
11
10
10
11
01
11
11
00
00
10
00
11
01
01
10
10
11
11
10
10
00
11
10
00
10
11
10
10
10
01
00
00
01
10
01
00
01
00
10
01
00
10
00
10
10
00
00
01
10
01
11
10
00
00
00
00
10
11
00
00
10
10
00
11
01
10
01
00
10
00
00
01
00
00
10
11
11
11
01
10
10
01
10
11
00
10
00
10
10
01
00
11
00
11
10
10
00
11
10
10
11
00
00
00
10
00
00
10
10
00
00
00
11
00
11
10
11
10
00
00
10
01
11
00
00
10
00
10
11
00
00
10
10
11
10
00
11
10
01
11
00
10
10
11
00
01
10
11
10
10
00
10
00
11
10
10
00
01
10
00
01
10
00
00
01
00
01
10
10
01
10
10
01
00
10
11
00
01
10
01
00
00
10
10
00
01
00
11
00
00
10
10
11
01
01
11
10
00
00
00
00
11
10
00
00
10
10
10
10
11
10
10
00
00
00
10
11
00
01
00
11
10
01
00
01
10
10
11
10
11
00
00
11
10
10
01
01
10
00
10
00
01
00
10
00
10
10
10
10
01
00
00
00
00
00
10
00
10
10
10
01
10
11
00
00
10
00
11
00
00
10
00
10
00
00
10
01
00
11
10
00
10
10
01
11
00
01
10
11
11
10
00
10
00
00
11
01
11
00
00
10
00
10
10
10
01
11
00
00
10
10
10
10
00
00
10
00
00
00
10
10
11
00
00
00
01
11
11
00
10
00
11
01
10
01
00
01
00
01
11
11
10
01
00
10
00
01
00
10
10
00
00
11
10
00
00
10
01
01
00
11
10
00
10
11
00
01
00
11
10
00
11
00
10
11
00
00
10
00
00
11
10
01
10
01
01
01
10
10
10
00
00
11
10
11
10
00
00
11
01
00
01
11
10
01
01
10
10
00
01
11
10
00
00
10
10
00
10
11
00
10
11
00
10
00
00
00
10
01
00
10
11
01
00
10
11
10
01
00
00
10
00
00
11
10
10
00
10
11
00
00
00
00
10
01
01
10
10
10
11
10
00
00
10
00
00
00
10
10
00
00
01
10
00
01
00
11
10
00
10
00
00
01
00
10
00
10
10
10
11
10
11
00
10
01
11
00
10
00
01
11
11
00
01
10
10
10
10
10
00
00
11
01
11
10
00
01
11
00
11
00
10
10
11
00
11
10
00
10
10
00
11
10
00
00
11
00
01
11
10
00
00
01
00
11
10
10
11
11
10
01
11
10
00
10
10
11
01
00
11
11
01
10
00
00
10
01
00
00
11
00
10
00
11
00
10
11
00
00
10
00
01
00
01
10
10
01
10
10
10
11
00
01
11
00
11
00
00
01
01
10
00
00
10
11
11
00
11
10
01
10
11
10
11
11
00
00
11
10
10
11
00
00
10
00
11
10
11
01
00
10
00
11
00
10
01
00
01
00
10
10
10
10
00
01
10
10
10
10
00
00
00
00
11
10
10
10
11
10
10
01
00
10
10
10
00
00
10
10
10
00
00
00
11
00
00
11
11
10
10
00
00
00
01
00
10
11
10
10
01
10
00
10
01
01
01
00
10
10
00
10
01
10
00
00
10
00
10
10
10
10
00
00
10
01
10
01
10
01
00
01
10
11
00
00
11
10
10
01
10
00
01
00
11
10
10
11
01
01
11
10
01
11
10
00
10
10
00
00
11
10
00
11
00
10
01
11
00
10
00
00
00
10
11
00
10
10
10
01
10
11
00
00
00
00
00
10
00
00
11
11
10
00
10
01
10
10
10
00
00
00
10
00
11
01
00
11
10
10
10
10
00
00
00
11
01
10
10
01
10
01
11
01
10
11
01
11
10
01
10
01
00
10
00
00
00
10
10
01
00
11
10
10
00
00
00
10
10
00
01
10
11
10
00
10
00
11
11
10
01
01
00
10
11
11
10
10
10
11
11
00
11
00
10
01
00
10
00
11
10
10
10
00
11
01
00
00
10
10
00
11
00
01
10
11
10
01
10
10
10
10
10
00
10
01
00
01
00
00
01
10
00
10
10
01
00
10
10
00
00
11
10
00
10
10
10
00
00
10
01
01
01
00
00
11
10
10
10
10
00
00
10
01
00
10
11
00
10
00
01
11
01
11
10
00
00
10
10
00
00
11
11
10
11
11
11
11
00
00
10
11
01
01
10
11
00
10
11
10
00
01
10
10
10
01
00
10
00
10
11
10
00
00
10
10
01
01
10
10
10
11
10
10
10
00
01
10
11
01
10
10
10
00
01
00
11
10
00
00
00
10
11
00
00
10
00
01
00
11
10
00
00
01
10
10
00
01
11
11
00
10
10
00
10
01
10
00
10
10
00
01
10
11
10
00
10
10
01
11
01
00
10
01
00
11
00
00
11
00
00
10
01
11
00
00
00
11
11
00
10
01
00
10
00
00
00
01
10
10
11
11
00
01
11
10
01
01
10
00
10
10
10
00
00
10
11
00
10
11
01
00
11
11
00
01
01
11
10
00
00
01
00
10
10
00
00
00
10
00
00
11
10
00
00
10
10
01
00
01
11
10
00
00
01
10
00
00
10
00
00
00
10
00
00
10
01
10
10
10
10
10
10
00
01
00
10
01
01
10
11
00
00
11
01
01
10
10
00
00
00
00
01
10
00
00
00
00
00
10
11
10
11
00
10
00
00
11
11
00
01
11
00
00
01
01
00
10
10
01
10
10
11
01
00
00
00
11
01
00
10
01
11
00
10
10
11
11
10
01
00
00
10
11
00
00
11
10
00
01
01
11
10
11
10
10
10
10
00
00
11
10
00
01
10
10
00
00
00
10
11
11
10
10
00
00
10
10
10
00
00
11
00
00
00
10
00
10
00
10
10
00
11
00
11
00
01
10
10
10
11
11
00
00
00
10
11
00
01
00
10
01
10
01
00
10
10
11
00
01
10
10
01
01
01
10
01
10
10
11
01
11
10
00
01
10
11
00
01
11
10
11
00
00
01
11
11
00
10
10
11
01
10
10
11
10
00
01
11
01
11
00
00
00
00
00
00
10
10
10
00
10
10
01
10
01
10
00
00
10
00
11
10
00
10
10
10
10
00
10
00
11
01
00
10
00
00
00
10
10
01
01
10
11
00
01
00
01
00
00
10
10
11
00
10
11
10
00
00
10
00
11
01
10
00
10
11
10
10
00
10
10
10
00
00
10
11
01
11
01
11
00
00
11
00
10
10
00
01
00
01
10
10
10
10
00
01
10
10
10
00
10
00
00
10
10
01
00
00
11
00
00
01
11
00
00
01
01
10
10
00
11
00
11
10
00
11
10
10
11
01
00
11
10
00
10
11
01
00
11
11
10
01
01
00
11
10
00
00
00
10
10
00
00
00
10
10
00
11
11
10
10
10
00
10
00
11
10
01
00
00
10
10
10
00
10
00
11
01
01
10
00
01
01
01
00
10
10
00
11
10
00
01
00
10
00
01
10
10
11
00
00
00
10
10
01
00
11
10
11
01
01
01
10
00
00
00
11
11
01
11
01
11
01
01
11
00
01
11
10
11
10
00
01
01
00
10
11
00
00
10
10
11
00
01
11
01
00
00
00
01
00
01
00
11
10
10
01
10
10
10
10
00
01
00
00
10
00
00
11
10
11
10
00
11
00
00
11
10
00
00
10
00
00
00
11
11
11
00
10
00
00
00
01
11
11
10
00
10
00
11
10
11
01
00
00
10
01
00
00
10
11
00
00
00
00
01
00
10
10
00
11
00
00
10
10
00
10
10
00
01
10
00
10
11
00
00
00
00
10
00
00
10
10
11
10
00
00
01
01
10
10
10
01
11
10
01
11
00
10
10
00
10
01
00
10
10
00
10
00
00
00
10
10
11
00
10
00
10
11
01
11
00
10
10
00
00
11
01
11
00
11
00
10
00
10
10
00
01
10
01
10
11
10
01
10
01
00
00
00
10
01
00
01
10
10
01
00
00
11
01
01
10
10
10
10
01
11
00
01
11
00
01
01
10
00
00
10
10
11
00
10
11
00
10
00
00
11
01
00
00
00
01
10
01
01
11
10
10
00
01
10
10
10
00
11
10
00
00
00
00
00
11
10
10
00
10
11
01
00
00
10
10
10
10
01
01
10
10
10
10
01
10
11
00
01
10
00
10
00
00
10
00
01
00
01
00
10
10
11
01
11
10
01
10
01
10
11
10
10
00
00
10
10
01
10
10
10
10
00
00
00
10
10
11
11
10
00
00
10
10
10
11
00
01
00
11
10
00
00
01
01
01
11
10
01
10
10
10
01
00
10
10
00
10
10
10
00
00
10
00
10
00
11
00
00
00
10
10
01
00
10
11
00
10
11
10
00
10
10
01
11
00
01
10
11
11
10
00
10
00
10
10
00
11
10
01
01
00
10
11
01
10
00
01
00
01
10
10
10
00
00
00
10
10
10
11
00
10
10
00
10
10
10
00
11
11
01
10
00
00
00
00
00
01
10
10
01
00
11
10
11
10
11
10
00
00
11
10
01
10
10
11
00
11
11
00
00
11
10
10
01
00
00
10
00
01
01
11
10
10
10
00
00
10
00
00
11
10
01
10
00
10
11
00
00
00
11
01
00
00
11
01
00
01
00
10
10
11
00
00
10
00
10
11
01
10
00
11
01
11
11
00
11
11
00
00
01
11
11
11
00
01
10
11
10
10
01
01
10
10
00
00
00
00
00
10
11
00
11
10
01
10
10
10
00
01
11
10
01
10
10
11
10
11
01
11
00
01
00
11
00
01
10
11
10
01
11
10
01
10
00
01
11
00
10
10
10
00
10
11
00
10
00
10
00
00
10
00
00
10
10
11
01
00
11
10
10
00
00
00
11
01
00
10
10
10
10
10
10
01
11
10
00
11
10
11
10
11
01
00
11
11
10
01
10
00
00
11
10
10
01
00
10
00
11
10
00
00
11
00
11
01
00
10
10
00
01
10
10
10
00
10
10
11
00
00
00
01
00
10
10
00
10
11
10
10
11
00
10
10
10
01
11
10
00
00
00
10
00
00
00
11
10
11
10
10
01
00
10
00
10
10
10
10
00
01
01
00
10
11
00
01
00
01
00
00
01
10
11
10
01
11
00
00
10
01
00
00
10
00
01
10
01
11
10
11
00
10
00
00
10
10
00
01
11
00
00
00
10
00
10
11
00
10
10
10
01
00
11
11
01
00
10
10
00
00
10
00
01
11
00
10
10
00
01
00
11
10
01
00
00
00
00
00
11
10
00
10
10
00
10
11
00
11
10
00
10
10
00
10
00
00
00
10
00
00
10
00
01
00
10
00
10
00
10
11
10
10
10
00
00
00
11
00
00
10
01
00
10
01
00
00
10
10
01
01
00
00
11
11
10
00
10
01
00
11
00
10
00
11
00
01
11
01
10
00
00
10
10
00
00
10
00
00
00
10
00
00
01
00
11
10
01
10
00
01
11
01
00
00
11
11
01
11
01
00
10
11
11
11
01
00
10
01
00
10
10
00
00
00
00
10
01
11
10
01
01
00
10
11
10
10
11
00
01
01
11
11
00
01
11
10
01
00
10
00
01
10
10
10
01
00
00
00
01
10
01
00
11
00
11
00
11
01
00
11
10
00
00
11
01
00
00
10
10
00
10
10
00
00
10
10
11
01
00
00
10
00
11
00
00
10
00
00
00
10
00
10
10
00
10
10
11
00
11
10
10
00
01
10
10
10
00
01
01
10
01
10
11
10
11
01
01
10
10
10
01
00
10
01
01
10
11
10
10
10
00
01
10
10
00
01
10
01
11
11
00
00
11
00
00
10
10
10
01
11
01
00
10
00
00
00
10
01
10
11
00
10
00
01
11
00
10
10
00
00
01
00
10
00
01
00
10
00
10
11
01
00
00
10
01
10
00
10
11
00
00
00
01
10
01
10
11
00
10
11
10
00
00
11
10
10
11
00
10
10
01
10
11
10
11
00
00
00
10
11
01
01
11
10
00
00
10
00
10
10
00
10
11
00
00
01
00
10
11
00
01
11
10
01
11
10
00
10
10
10
01
00
10
00
00
11
01
10
11
10
10
01
00
11
10
00
00
00
11
00
10
01
01
11
00
00
10
00
10
11
00
01
11
11
11
10
01
00
10
00
01
01
00
00
11
00
00
10
11
11
10
00
00
11
01
01
01
10
00
00
10
10
10
00
00
00
10
00
00
10
10
10
11
10
00
00
00
10
01
00
11
11
00
00
01
11
10
10
00
00
11
10
00
10
10
00
01
00
10
01
11
10
10
11
00
10
00
10
10
00
00
00
10
10
10
10
10
10
01
10
00
10
11
11
01
01
00
01
01
10
01
00
10
10
10
00
10
10
00
10
10
10
10
11
00
11
10
10
10
01
00
00
11
10
00
01
10
10
10
11
00
10
00
00
10
11
11
10
01
00
00
01
00
11
10
10
01
11
00
11
10
00
10
00
11
10
10
00
00
11
10
00
00
01
10
10
10
10
10
11
10
00
11
10
01
10
11
10
01
00
11
00
11
10
01
10
10
00
00
00
11
10
00
10
00
00
00
10
10
10
00
01
01
01
10
01
00
11
11
10
00
00
01
11
00
11
10
01
00
10
00
01
01
11
10
00
01
10
10
01
10
00
00
00
11
00
00
11
00
10
10
10
00
00
10
00
10
00
11
10
10
10
00
10
11
10
01
01
10
11
10
10
10
10
00
01
10
01
00
11
00
00
10
10
00
11
01
00
11
01
11
10
10
10
00
01
00
11
00
10
10
10
11
01
01
10
11
10
10
10
01
00
00
11
10
10
10
10
00
10
10
00
00
10
00
10
10
01
10
00
00
11
10
10
11
10
01
11
01
00
00
10
10
10
00
01
11
00
11
01
10
00
11
10
10
10
00
10
00
11
00
00
00
01
00
10
00
00
10
10
10
01
00
10
00
10
00
01
00
00
10
00
00
11
00
00
00
10
01
00
10
00
10
10
00
11
10
11
00
10
11
10
10
00
00
01
10
00
01
11
10
10
00
00
00
01
10
10
11
00
01
10
00
00
11
10
01
01
11
00
00
10
00
01
10
00
00
00
11
10
01
01
10
10
01
00
00
00
10
11
00
11
00
10
10
10
01
11
01
00
11
11
01
11
10
11
00
01
00
00
01
10
11
00
10
01
00
01
10
10
00
11
00
00
01
10
10
10
00
10
11
01
11
00
01
11
00
00
01
00
10
10
00
10
10
11
01
11
01
01
00
00
11
10
00
00
00
00
11
10
10
10
00
01
00
00
10
11
10
11
10
00
00
00
10
10
00
01
00
10
01
10
00
01
01
11
10
10
10
01
10
01
00
10
11
11
00
00
10
10
01
10
00
10
01
00
01
01
11
11
10
00
00
00
11
00
00
11
10
00
00
00
10
10
00
00
00
01
01
01
01
01
10
00
00
00
01
11
10
00
11
10
10
10
01
10
11
00
00
11
10
01
00
01
10
10
10
00
11
00
00
11
01
11
01
01
11
11
10
10
10
11
10
01
00
01
10
00
11
11
00
01
10
10
00
01
11
00
11
10
00
00
10
00
00
10
10
00
00
11
10
00
00
10
11
10
00
10
00
00
10
10
11
10
10
01
11
10
00
00
00
01
10
00
01
01
10
00
10
01
00
10
11
01
11
10
01
00
10
00
00
10
10
10
11
01
01
10
11
00
01
00
01
00
10
01
00
10
00
11
10
10
00
00
00
10
10
11
11
10
00
10
10
01
01
11
00
00
00
10
00
01
00
01
11
10
01
00
00
00
10
10
00
00
10
10
01
10
00
10
10
11
01
10
00
00
00
10
01
10
10
11
11
00
10
00
01
11
10
01
00
00
10
01
00
10
10
00
10
10
11
10
10
01
00
10
01
00
01
00
11
01
00
00
10
00
10
00
10
10
00
10
01
00
01
01
10
01
11
00
00
00
11
10
10
01
00
00
10
00
10
10
00
11
10
10
10
00
11
11
00
10
01
10
00
00
00
11
11
11
00
11
10
00
10
10
00
00
01
01
11
10
00
10
01
10
10
00
01
11
10
01
00
10
01
10
11
00
01
10
11
01
11
11
00
01
01
01
10
11
01
00
10
11
01
10
11
10
00
01
00
00
10
10
00
01
00
00
10
11
00
01
00
11
00
10
00
10
01
00
00
10
10
00
00
10
00
00
10
01
11
11
10
10
00
00
00
10
10
10
00
00
10
00
10
11
00
01
01
10
00
01
10
10
00
00
10
10
00
01
11
11
10
10
10
11
01
00
00
11
11
11
01
00
11
10
00
10
10
00
01
11
10
11
01
10
01
00
10
00
00
01
11
00
00
00
00
11
00
11
00
10
10
10
11
00
00
00
11
10
10
11
00
10
11
00
11
10
00
10
10
11
00
00
11
10
00
00
10
00
01
10
10
00
11
11
10
10
01
01
10
10
00
11
10
00
11
11
00
01
10
10
10
11
11
00
10
10
00
00
10
11
10
11
10
01
01
01
10
00
01
00
10
10
00
10
10
10
00
01
10
11
00
00
11
10
00
11
10
01
10
00
01
00
01
10
00
01
11
00
00
10
10
11
11
10
00
01
01
10
10
00
10
00
00
10
10
01
00
00
00
10
11
01
00
01
00
00
00
00
10
10
00
00
10
10
00
01
01
11
00
01
00
00
00
10
10
10
00
10
00
10
00
01
10
01
00
00
10
00
01
10
10
00
00
10
10
10
10
00
00
01
00
10
11
10
00
00
10
10
10
01
10
00
10
00
10
00
01
00
10
11
01
10
00
00
00
01
11
01
01
10
10
10
01
11
10
00
10
00
11
11
00
10
00
00
11
10
00
01
10
10
10
00
10
11
01
00
10
10
00
11
00
00
01
10
01
00
01
01
10
01
00
01
01
00
11
11
10
01
10
00
01
10
10
11
11
01
01
11
10
11
00
01
00
01
10
10
01
01
00
01
00
10
10
10
10
01
10
00
11
10
10
01
00
10
10
00
01
00
00
11
00
10
10
00
11
11
01
11
11
00
11
01
10
00
00
11
10
00
00
10
11
00
11
01
10
01
00
10
10
00
01
00
10
11
00
01
11
00
01
01
11
11
10
00
01
10
10
10
00
10
00
10
11
11
00
00
11
11
00
11
00
00
00
10
10
10
00
10
10
00
11
00
01
00
10
01
10
01
10
11
10
01
10
00
10
10
00
00
00
10
10
10
00
00
01
10
01
11
00
00
10
00
01
11
10
00
00
10
11
10
00
11
11
01
00
11
01
00
11
01
11
00
11
11
01
00
10
10
01
00
00
10
11
00
00
01
11
00
01
11
00
10
01
11
10
01
00
10
10
10
01
00
11
10
10
10
00
00
00
10
10
00
10
10
00
10
10
10
11
00
01
00
01
10
10
01
00
01
10
01
00
00
01
10
10
00
01
01
00
01
10
10
01
10
10
11
10
10
00
11
01
00
10
11
10
11
11
00
00
11
10
01
00
10
00
10
00
11
10
10
11
00
10
10
10
00
00
10
10
10
00
10
10
11
01
00
11
01
01
11
00
10
00
01
11
01
00
10
10
11
00
10
01
10
01
01
10
00
10
10
10
10
01
00
11
11
00
10
10
11
11
00
00
11
01
11
10
00
00
11
10
00
00
10
10
00
10
10
10
10
00
00
00
00
10
10
00
00
00
10
11
11
11
11
00
00
00
00
11
10
00
01
10
00
01
00
10
11
11
10
00
00
00
01
00
10
10
10
11
10
01
01
00
00
01
10
11
10
00
10
10
10
11
11
00
01
10
10
10
00
01
11
00
00
10
00
00
10
11
10
00
11
01
00
10
01
00
00
10
11
00
01
01
00
10
10
00
01
11
11
00
00
11
11
10
10
11
00
01
10
10
00
00
10
10
00
11
00
01
01
00
01
00
01
01
00
11
01
00
10
00
10
00
01
10
10
00
01
11
10
11
00
01
01
01
01
11
01
00
00
00
10
11
10
01
00
00
11
00
10
10
10
00
11
10
11
00
00
11
10
11
10
10
00
10
11
00
00
10
10
00
00
00
10
10
01
11
10
00
00
01
10
00
10
11
10
11
11
00
10
10
01
00
01
10
10
00
10
10
10
01
00
11
10
01
10
11
10
10
11
01
11
00
00
11
00
01
00
00
11
00
10
10
10
01
11
11
00
00
11
10
10
00
00
00
11
11
11
10
11
11
10
10
00
11
10
00
00
00
00
01
10
01
00
00
10
00
11
11
00
01
11
10
00
10
10
01
00
01
11
10
01
01
11
10
00
00
00
10
00
01
10
11
10
11
00
00
10
10
00
10
10
00
11
00
00
10
10
10
10
00
00
10
11
00
00
00
10
10
01
10
10
10
00
01
00
00
11
11
00
00
00
00
01
11
10
10
01
11
11
10
01
10
11
10
00
10
10
00
00
01
10
00
10
10
00
10
10
00
01
10
00
10
01
00
10
01
10
10
01
00
11
11
10
01
11
00
00
01
00
10
00
10
10
00
10
00
00
10
10
10
11
11
01
11
00
10
01
01
00
11
00
01
00
11
00
01
10
10
11
00
10
10
00
00
01
00
10
00
10
11
00
00
00
01
10
00
00
00
00
01
11
11
11
11
00
01
01
10
11
00
10
01
01
10
11
01
00
00
00
00
10
01
01
11
11
00
11
00
10
11
00
00
10
11
01
01
10
10
11
00
10
00
11
10
00
10
10
10
00
10
01
01
10
10
01
00
10
00
10
11
00
00
00
10
11
11
00
10
11
00
10
10
00
01
11
00
00
10
10
01
10
10
10
10
10
00
00
00
00
10
00
01
11
11
01
10
00
01
01
00
01
10
11
01
00
10
11
01
00
10
10
00
01
00
10
11
01
00
11
00
10
00
10
11
10
00
00
11
00
11
00
00
00
11
10
00
10
10
00
10
01
00
10
11
00
10
01
00
01
00
11
00
10
00
11
10
01
11
11
00
01
11
00
00
10
10
10
00
00
01
10
00
11
00
11
10
00
10
00
00
00
01
10
00
00
00
10
00
00
01
00
01
10
00
10
00
10
10
10
00
00
10
00
11
00
01
00
10
11
00
11
11
10
01
11
11
00
00
00
10
00
00
11
10
01
10
10
01
01
11
10
11
00
10
01
00
11
10
00
01
11
10
10
11
00
00
10
00
01
01
10
10
00
01
00
00
10
10
10
00
10
01
00
10
10
10
01
10
00
11
11
01
00
10
00
01
00
00
00
11
10
00
00
11
11
10
01
11
01
00
10
01
10
00
10
10
00
11
10
11
10
01
11
00
11
10
10
01
01
10
00
00
01
00
10
10
11
01
10
00
11
10
10
00
01
11
10
01
10
00
01
00
11
00
01
10
11
01
00
11
11
01
10
10
00
01
00
11
10
10
10
00
10
00
00
10
00
00
10
10
01
00
00
11
00
00
00
01
10
11
01
00
10
00
10
00
10
11
01
01
01
10
01
10
10
00
01
00
00
00
11
00
10
01
10
10
10
00
10
11
11
01
11
10
10
10
10
11
00
01
00
10
00
00
00
10
11
10
01
00
10
11
00
00
00
00
10
00
00
00
01
10
10
11
10
00
11
10
11
01
00
10
00
11
10
00
01
10
00
11
11
00
10
10
11
01
11
01
11
00
00
01
00
11
10
10
10
00
00
00
01
10
01
00
11
10
10
11
10
00
10
11
00
01
01
10
00
00
00
11
00
10
10
10
10
11
10
00
00
10
00
01
00
10
00
10
11
00
00
11
11
11
11
10
00
11
11
11
01
01
10
01
01
10
10
00
00
10
10
01
11
01
01
10
01
01
01
11
00
00
10
10
00
00
11
11
10
10
00
01
10
10
00
10
11
01
00
00
00
10
01
01
10
10
00
00
01
10
10
00
11
10
01
11
00
00
00
10
10
01
10
00
00
00
11
00
11
10
01
10
00
11
10
10
00
01
10
10
11
00
11
00
00
10
01
00
00
00
11
01
01
10
01
11
11
10
00
10
11
10
00
00
10
11
01
11
10
01
00
01
00
10
01
11
01
00
01
10
00
01
10
10
10
10
01
01
11
00
10
11
00
00
10
10
10
11
00
10
00
10
11
11
10
00
11
00
00
00
10
01
00
00
10
00
11
00
00
10
11
10
00
10
11
00
11
00
00
01
00
00
00
10
10
11
00
01
00
10
00
10
00
00
10
11
10
00
11
00
11
00
01
10
10
10
11
10
00
01
00
11
11
00
01
00
00
01
00
11
10
00
00
10
10
11
11
01
01
00
00
10
10
11
11
10
10
01
10
00
10
00
01
10
01
00
10
00
11
11
10
00
00
10
10
01
00
10
00
11
10
10
10
10
10
01
00
01
11
00
01
00
01
10
10
00
01
00
10
10
00
10
10
00
01
11
00
01
11
10
01
00
10
00
11
01
01
10
00
10
00
10
11
00
00
00
11
00
10
10
00
10
10
10
00
11
10
10
00
10
10
11
10
10
10
00
00
00
00
10
01
10
11
00
00
10
00
11
00
01
10
10
00
00
10
01
10
00
00
00
00
00
10
11
00
00
10
01
01
00
01
10
11
00
00
10
10
11
10
01
00
00
01
11
11
10
10
01
10
00
10
11
00
10
00
01
10
00
00
10
11
00
10
11
10
00
01
01
00
01
11
10
10
00
11
00
10
10
00
00
11
00
11
10
00
00
10
00
00
00
10
10
00
00
01
00
01
00
11
10
00
00
10
11
10
01
00
10
10
01
10
10
10
00
00
11
10
00
00
11
01
10
00
01
10
10
10
10
10
10
01
00
00
01
01
00
00
00
10
10
00
10
10
11
10
01
11
10
01
11
00
01
11
01
00
10
11
10
00
10
00
01
10
00
10
01
00
01
00
10
10
10
10
00
00
10
11
00
11
10
00
00
00
11
11
10
01
10
00
00
00
10
10
00
01
00
00
00
00
00
10
00
11
11
01
00
11
01
01
00
10
01
00
10
10
11
00
10
10
01
10
11
01
01
11
10
11
00
10
10
01
00
10
11
01
10
10
11
11
10
00
01
10
11
00
00
10
10
11
10
10
00
11
10
00
00
10
10
10
10
01
10
11
01
10
01
10
11
10
11
01
00
11
10
00
00
00
11
00
00
11
10
00
10
00
10
00
00
00
10
11
00
10
00
10
11
00
11
01
00
01
00
11
11
10
10
10
00
00
10
11
00
10
10
11
11
11
11
00
10
00
00
10
01
00
00
10
11
00
10
10
10
00
00
10
11
00
00
11
10
00
01
10
00
01
11
10
10
00
00
11
10
00
01
00
11
00
01
10
10
11
01
11
00
10
10
00
11
01
11
00
00
00
00
01
10
10
11
00
10
10
01
01
10
01
10
11
00
10
10
00
00
10
10
00
00
00
11
10
01
00
11
10
00
10
00
10
00
00
00
10
00
00
00
10
10
10
01
10
10
00
00
10
00
00
10
11
00
10
00
00
10
00
01
10
00
10
00
01
10
10
00
10
01
00
01
10
10
00
10
11
00
01
10
10
10
00
10
10
01
01
10
10
10
10
00
11
01
00
01
10
10
10
11
10
00
00
00
00
01
00
11
11
00
11
10
11
11
10
00
11
11
01
00
00
10
00
00
10
10
11
00
10
10
00
01
11
00
00
01
01
00
10
10
10
01
10
00
00
10
10
11
10
11
10
00
00
10
01
01
01
10
01
10
00
01
10
00
11
10
10
10
10
01
00
11
10
01
00
10
00
00
01
01
11
11
11
00
00
01
10
11
10
10
00
01
01
01
01
11
00
00
00
00
10
10
00
11
11
10
10
10
11
10
10
00
10
10
00
00
10
10
11
10
01
00
10
00
00
00
00
01
01
11
00
01
00
10
10
10
11
00
10
11
11
00
10
00
11
00
00
01
10
10
10
10
00
00
00
11
11
10
00
10
01
01
01
01
10
10
10
01
00
10
10
00
10
01
01
10
00
01
01
11
10
11
00
10
11
00
01
11
00
10
10
00
10
10
01
00
00
11
01
00
10
10
01
10
11
00
10
00
01
00
00
00
10
10
01
00
01
10
00
00
00
10
01
00
11
00
00
00
10
00
11
01
01
01
00
10
10
11
00
00
10
10
01
00
00
00
00
00
11
00
00
00
10
10
00
01
10
00
10
00
00
10
11
00
10
00
11
10
10
10
01
00
01
11
10
11
00
00
00
00
11
00
01
00
11
00
00
10
00
00
10
11
01
11
01
10
00
10
00
01
00
00
11
11
00
00
00
10
11
10
00
10
01
00
11
11
00
00
11
10
00
10
00
11
11
00
11
11
00
10
10
00
00
10
10
01
11
00
11
10
10
00
11
00
00
00
10
11
01
01
10
00
00
00
00
01
10
10
01
11
10
00
00
00
01
11
01
10
00
10
11
00
11
01
00
10
10
10
01
00
10
00
00
10
10
00
10
01
11
11
01
11
00
10
10
10
10
01
11
10
00
10
00
00
11
10
10
10
00
00
00
11
11
11
01
11
00
00
00
01
01
10
00
00
10
00
01
11
10
01
01
00
10
00
01
10
10
00
11
10
00
01
10
11
11
11
00
10
10
00
11
01
00
11
10
10
10
10
01
00
00
11
11
11
00
00
00
10
01
01
00
10
11
00
00
10
10
00
00
10
11
10
11
00
01
01
01
00
00
10
10
00
00
11
11
00
01
00
00
11
10
00
10
00
01
11
10
10
01
10
01
00
10
10
00
10
10
10
00
01
10
00
00
11
10
00
00
10
01
10
10
11
11
01
11
11
00
10
11
10
01
00
11
11
10
11
10
00
10
00
00
11
10
01
00
11
10
01
00
11
01
01
11
10
11
00
10
00
11
10
00
00
00
01
11
11
01
10
11
01
01
10
10
01
00
01
10
11
10
00
00
01
00
10
10
11
10
01
10
10
10
00
00
11
01
00
00
00
10
00
10
00
11
00
00
11
01
00
00
00
10
01
10
00
00
10
00
00
11
01
00
00
00
10
10
00
10
10
11
00
00
00
11
01
10
11
00
00
10
11
00
00
00
10
00
10
00
00
10
01
10
11
11
11
10
00
01
10
01
00
10
10
10
00
00
10
10
01
01
11
01
11
00
00
01
10
01
00
11
00
00
01
11
11
01
11
10
01
10
10
00
00
11
11
00
00
11
10
00
10
00
10
00
10
10
10
01
10
10
01
00
10
01
11
00
01
01
00
10
00
10
01
11
10
00
10
00
00
00
11
10
00
10
11
11
10
10
00
10
00
01
00
11
10
01
10
11
00
00
01
10
10
00
00
10
00
11
00
01
00
01
01
11
10
11
11
11
10
01
00
11
11
00
01
00
10
10
10
00
10
10
00
00
10
01
00
00
00
00
01
10
11
11
11
10
00
00
11
10
00
00
00
11
00
01
10
00
11
10
11
00
01
10
00
00
00
10
11
00
00
01
00
11
00
11
10
10
11
01
10
10
00
00
10
10
10
11
10
01
00
10
00
00
11
00
00
11
10
10
00
11
00
11
11
10
00
01
10
00
10
00
10
11
00
10
10
01
10
01
10
10
00
11
10
00
00
01
01
01
00
10
10
00
00
10
11
00
00
01
01
00
00
00
10
10
10
00
10
10
01
00
01
00
10
01
00
11
10
00
01
01
11
01
10
10
00
01
10
10
01
00
10
11
10
10
10
00
11
10
01
00
10
00
11
01
01
11
00
10
10
01
01
10
10
00
00
00
00
00
01
10
10
10
01
10
10
10
10
10
00
00
01
00
10
10
00
10
10
10
10
11
00
11
10
00
01
10
00
00
00
10
00
10
10
11
10
10
11
10
10
10
10
10
00
00
00
10
10
01
10
10
00
10
01
10
10
10
00
01
00
10
10
01
01
01
10
01
00
10
01
10
00
01
10
11
10
11
00
01
10
10
11
00
00
00
11
10
01
01
10
10
11
00
00
10
00
10
11
00
01
11
10
11
10
00
10
11
00
10
11
00
10
10
10
01
10
10
11
01
00
00
10
00
01
10
10
00
00
00
10
11
00
00
11
10
00
10
00
01
10
00
11
11
10
10
00
11
11
11
10
00
00
10
11
00
00
10
10
10
00
01
11
00
01
10
01
10
01
00
00
00
10
01
00
11
00
10
00
10
11
10
01
00
11
00
11
10
00
10
10
01
00
10
10
10
00
10
00
10
00
00
00
11
10
11
11
00
10
00
01
10
00
00
00
10
10
10
00
10
00
11
10
10
11
10
00
10
00
01
10
10
00
10
11
10
10
10
00
01
10
11
01
00
00
11
10
00
00
11
01
10
00
10
00
10
11
10
01
00
00
01
11
10
00
00
10
00
00
00
00
00
11
10
10
10
10
10
00
00
00
00
11
00
10
00
10
00
00
01
01
00
01
00
11
01
10
10
01
11
01
10
10
10
00
00
11
11
00
10
10
00
10
00
11
11
10
10
10
10
00
01
00
01
01
00
10
10
10
11
10
00
01
00
01
10
01
10
00
11
11
01
00
10
00
00
00
00
10
10
00
01
10
00
11
00
01
10
00
11
10
10
00
10
10
01
00
11
01
00
00
00
10
10
10
00
00
00
11
11
10
10
00
10
11
00
00
10
01
01
01
11
00
00
11
01
11
10
01
00
10
10
01
10
11
11
01
10
11
01
10
00
00
00
01
00
11
10
11
10
00
10
10
10
00
11
01
11
10
10
10
10
00
10
10
01
10
00
01
00
00
10
00
10
00
10
01
01
00
00
11
10
01
10
11
01
00
10
10
10
01
10
10
11
01
01
10
01
01
11
10
00
00
10
00
01
00
10
10
10
01
00
10
00
11
11
10
01
00
10
10
01
00
11
00
10
11
00
10
00
00
10
00
10
00
11
10
01
00
11
10
00
00
10
01
00
10
10
10
11
10
01
01
00
00
10
00
01
10
11
11
10
00
00
11
10
00
00
10
00
01
01
00
11
10
00
00
10
10
11
00
00
10
00
10
00
11
11
00
01
00
00
10
01
10
01
10
10
10
00
10
10
00
01
11
11
11
00
10
10
10
00
00
10
01
00
10
10
01
00
10
00
11
00
00
00
10
10
01
10
00
00
00
10
10
10
10
00
00
00
10
10
00
00
10
10
00
00
11
01
01
10
11
10
00
01
10
00
11
11
00
01
11
00
10
10
11
00
01
10
11
00
00
01
10
10
00
01
10
10
01
10
11
11
11
00
00
10
01
10
10
00
00
01
10
10
00
10
10
10
10
00
01
10
10
11
00
01
00
00
11
01
10
11
10
00
00
01
01
00
10
10
10
11
00
01
11
00
00
11
10
11
00
01
10
01
10
00
00
11
00
00
01
11
10
00
00
01
00
11
10
10
00
10
00
10
11
11
11
00
11
10
01
00
00
10
11
00
01
00
10
00
01
10
10
00
00
00
00
10
11
01
01
00
10
10
10
00
11
00
11
01
01
10
11
11
00
10
00
10
10
11
00
00
10
00
01
11
00
01
10
00
01
11
10
11
00
01
11
00
10
01
00
11
10
01
01
01
10
11
11
00
00
11
10
01
10
11
01
11
10
01
11
10
10
11
00
01
11
10
10
10
01
10
01
01
11
10
10
01
00
11
10
11
00
00
11
00
10
10
10
00
00
10
10
01
10
00
00
11
10
00
00
00
10
11
10
01
00
10
00
11
00
11
01
00
10
01
00
11
01
01
11
00
00
01
11
10
00
10
10
00
10
00
00
00
00
00
01
01
10
00
10
10
00
10
00
01
00
10
10
10
10
00
11
10
01
10
10
01
11
10
01
01
10
10
10
10
00
00
11
10
10
11
00
10
10
01
00
00
01
00
10
10
10
10
10
11
01
01
00
11
11
01
01
10
10
00
01
10
10
00
00
10
00
00
10
10
00
10
01
00
00
10
00
00
10
11
00
10
10
00
11
10
00
10
00
10
00
10
01
10
01
00
10
00
01
00
11
11
01
10
10
10
00
10
10
01
10
11
10
10
10
11
00
01
11
00
00
10
00
00
11
10
00
10
10
11
10
00
01
11
10
10
11
00
00
00
11
10
01
10
10
10
01
11
00
00
10
00
01
10
10
01
01
10
10
10
00
11
00
00
10
10
10
10
01
01
10
10
00
11
11
01
00
10
00
10
01
00
00
10
01
00
00
00
10
11
00
10
10
11
00
10
00
10
00
00
10
01
01
00
00
01
10
10
10
11
01
00
11
11
00
11
00
00
11
00
00
10
11
00
00
00
10
01
10
10
10
01
00
01
00
00
01
00
10
10
00
11
11
00
10
10
10
10
00
11
00
00
10
00
10
01
10
10
11
01
10
00
10
00
10
10
00
10
10
10
11
00
10
01
01
00
10
00
01
11
01
10
11
10
00
10
00
00
10
00
00
11
10
00
10
00
00
11
00
00
01
00
10
00
11
10
01
00
00
10
10
01
01
11
10
00
00
10
00
00
01
10
11
10
00
01
11
10
00
11
10
10
00
01
11
00
11
11
00
00
11
11
11
00
01
10
01
00
10
10
01
11
00
00
11
10
10
00
10
10
00
10
00
10
10
10
11
10
01
10
10
10
00
10
10
11
00
01
11
11
11
00
00
00
11
11
10
00
10
10
00
00
01
10
10
10
01
11
00
11
11
11
01
00
10
00
00
00
00
10
10
00
11
00
01
11
00
11
00
10
11
00
10
01
00
10
00
10
00
10
00
11
01
00
00
10
00
11
10
00
00
01
01
10
01
00
11
10
10
11
00
00
10
11
00
00
01
00
00
10
10
01
00
10
10
11
00
01
00
10
00
10
10
00
10
01
01
11
00
10
10
00
11
01
00
11
11
10
11
00
00
00
10
10
00
01
10
11
10
10
00
00
00
00
10
00
10
00
01
01
00
01
10
10
10
01
10
10
11
01
00
11
11
10
01
11
11
00
00
10
11
00
01
11
11
00
10
00
00
00
11
11
00
11
00
10
11
10
11
10
00
00
01
00
10
00
00
00
00
01
10
01
10
01
11
00
10
11
10
00
01
01
01
00
01
11
11
10
01
10
00
10
10
00
00
01
11
11
10
00
10
00
00
10
10
00
01
11
00
01
10
00
01
01
11
00
11
11
00
00
00
10
10
10
01
00
10
10
00
00
00
10
11
01
10
11
10
00
10
00
00
10
11
11
01
11
11
00
11
01
10
11
00
00
11
00
00
11
01
10
10
01
00
11
11
10
00
10
00
00
00
10
11
00
11
10
00
10
01
01
11
11
00
01
10
11
10
10
00
00
00
11
01
10
10
00
01
01
01
11
10
10
00
10
00
00
10
11
01
10
00
00
00
00
10
11
01
00
10
00
10
10
01
11
01
00
00
11
00
11
10
11
00
00
00
10
01
10
11
01
11
00
10
01
10
10
01
10
11
10
01
00
01
10
10
01
01
11
11
10
00
01
10
10
10
00
00
11
10
00
00
11
00
00
10
10
10
01
10
01
11
00
01
00
00
01
10
10
00
01
10
10
10
10
10
10
10
00
00
10
00
10
10
11
00
00
00
00
01
01
00
10
11
01
10
10
00
00
01
10
10
10
11
10
10
10
10
00
00
01
00
00
00
00
10
00
10
10
01
10
01
00
00
00
00
00
11
00
01
10
10
00
11
01
01
00
01
00
10
01
10
11
10
01
00
10
10
00
00
10
00
00
00
10
00
00
10
10
00
00
00
11
10
11
00
01
11
10
01
11
00
11
10
00
00
10
11
11
01
10
10
00
00
00
11
01
01
11
10
01
11
10
01
01
11
10
01
00
10
10
00
01
11
11
00
11
00
00
00
10
01
00
10
11
00
01
00
11
11
00
10
00
00
10
00
01
00
11
10
00
01
10
01
10
11
01
00
00
10
10
00
10
10
00
11
00
01
01
01
10
10
10
10
11
00
00
00
00
00
11
10
00
10
00
11
10
01
00
00
10
01
00
01
10
10
00
10
00
00
10
10
00
00
10
00
10
01
10
00
00
10
00
10
01
00
10
01
01
00
10
00
10
10
11
01
00
10
10
00
01
01
00
11
10
10
10
00
10
00
10
11
10
00
00
01
00
11
10
01
11
10
00
11
10
00
11
10
11
01
00
10
00
10
01
10
11
00
01
01
00
00
10
00
01
10
10
00
10
10
11
10
11
10
10
00
00
10
00
01
10
00
10
11
00
00
01
00
10
11
00
10
00
01
00
11
11
01
10
11
10
01
10
10
00
00
00
00
11
10
10
10
00
11
11
00
10
10
01
01
10
10
01
00
10
00
10
01
00
10
01
11
00
00
10
00
00
00
10
11
10
00
11
00
00
01
00
10
10
00
01
01
10
11
10
01
01
00
01
00
10
11
00
11
10
10
00
10
10
01
00
10
10
01
10
10
01
11
10
10
00
01
10
11
10
10
10
11
10
11
00
00
10
00
10
00
00
00
11
10
10
00
10
01
11
11
10
00
10
01
01
10
11
00
10
10
00
00
01
11
01
10
10
10
10
01
00
01
11
10
00
00
11
00
00
10
01
10
11
11
10
01
00
00
01
10
10
10
10
00
10
01
01
01
00
00
10
11
00
10
00
01
00
10
00
00
10
00
10
10
00
10
10
10
00
10
11
01
11
01
10
10
11
10
00
01
10
10
11
00
00
10
10
10
01
10
11
00
00
00
00
11
10
11
00
00
01
00
11
00
00
11
11
11
00
00
10
00
00
10
01
00
11
11
01
10
00
01
00
00
10
11
00
01
00
10
00
01
00
01
10
10
10
00
00
10
11
00
11
00
00
00
10
00
10
00
00
11
01
10
00
10
10
00
11
10
10
10
10
00
01
01
10
00
00
10
00
10
00
00
10
01
00
10
00
10
11
10
10
01
00
01
01
10
11
10
00
00
11
00
01
10
11
00
10
00
00
00
00
10
00
10
10
00
11
10
10
00
01
00
11
00
10
11
01
10
10
10
01
10
11
10
10
00
00
10
00
01
10
00
00
10
00
00
11
11
10
01
00
00
01
11
01
10
10
11
00
00
00
00
01
11
00
00
10
10
10
01
01
10
00
11
10
10
10
00
10
10
10
00
00
10
00
01
11
10
10
10
00
00
11
10
01
00
00
10
00
00
11
10
00
10
00
11
10
01
00
10
10
01
10
11
00
00
10
10
10
10
10
01
00
11
10
01
00
11
01
10
01
00
11
00
00
11
10
10
10
01
00
11
00
11
00
00
00
11
11
00
10
00
10
11
01
01
11
10
01
11
00
01
00
11
11
10
01
00
00
00
01
00
01
10
10
10
00
10
10
00
01
10
00
11
11
10
11
10
10
10
01
00
10
10
01
00
10
11
10
11
01
00
11
11
11
10
00
10
01
00
10
11
00
11
00
01
00
01
10
11
10
01
01
10
10
11
01
10
00
00
00
00
00
11
10
00
10
00
11
00
01
10
10
00
00
01
00
00
11
00
01
10
10
10
10
01
00
01
10
10
00
10
10
00
10
11
00
10
10
00
10
10
10
01
00
00
10
00
10
01
10
11
10
11
10
00
10
00
00
00
00
10
10
01
00
10
00
01
00
10
01
10
11
11
11
00
00
00
00
00
11
01
01
10
00
00
10
11
00
11
10
00
11
00
00
10
10
00
01
10
01
01
11
10
10
00
10
11
00
01
00
00
11
00
00
00
01
01
01
10
10
00
10
11
10
00
10
00
00
00
00
10
10
10
11
11
01
00
11
00
01
01
11
10
01
00
11
00
11
10
01
01
01
01
01
11
10
11
00
00
11
00
10
10
00
00
00
01
10
11
10
10
00
00
10
00
10
10
10
00
00
11
00
10
00
10
01
10
00
00
00
11
10
10
00
01
10
00
10
01
10
00
00
00
11
10
11
10
11
00
10
10
01
00
10
00
00
00
11
10
10
11
01
00
11
00
10
00
10
10
00
00
11
00
01
11
10
11
10
10
10
10
00
00
10
00
00
10
01
10
00
01
10
11
11
01
00
01
11
11
11
00
10
10
10
00
00
10
10
10
00
10
00
10
00
10
10
11
01
10
10
11
10
11
11
00
00
11
10
10
10
10
10
11
10
00
00
01
10
01
10
10
10
01
00
10
10
10
10
00
00
00
00
01
11
00
00
10
01
00
01
10
10
00
00
00
11
10
10
00
00
00
10
10
11
00
00
10
11
01
10
10
10
00
01
00
00
11
01
10
00
10
10
11
10
10
01
10
00
11
10
10
11
10
01
11
10
00
11
01
11
10
10
10
00
00
10
01
00
11
00
01
00
00
00
01
11
10
10
10
10
01
11
00
01
00
10
10
00
01
10
10
00
00
00
11
00
10
10
00
10
01
11
01
01
10
01
10
00
11
10
01
11
00
01
00
10
00
01
10
10
01
00
00
10
10
01
11
11
10
00
01
11
10
10
00
01
10
11
10
00
10
11
10
00
01
10
00
11
10
10
11
00
11
10
00
00
11
10
01
00
11
01
01
01
11
00
00
10
01
11
11
00
10
00
10
01
10
00
01
00
10
10
11
10
11
00
10
01
10
10
10
00
01
01
00
00
01
10
10
10
00
10
10
10
10
01
00
11
11
00
00
11
01
01
10
10
00
00
10
10
00
01
01
11
10
11
10
10
00
10
11
01
00
10
10
01
01
00
11
10
11
00
10
00
10
00
00
11
10
01
10
00
10
11
11
00
00
11
11
01
01
00
11
11
10
10
00
00
00
01
11
10
01
00
00
11
00
10
01
10
10
00
00
10
00
01
00
10
11
10
11
10
11
01
00
10
00
00
10
00
00
00
10
00
10
10
00
10
00
10
11
10
00
10
00
00
10
00
00
10
11
01
01
10
11
10
11
00
01
11
00
10
10
01
00
10
11
01
11
10
01
00
10
10
00
10
10
01
10
00
00
00
01
11
01
01
00
11
10
10
00
11
10
00
00
11
10
10
10
10
11
00
10
11
01
11
11
11
01
10
01
10
10
00
00
10
10
00
00
00
10
10
10
01
10
11
01
11
11
00
10
00
10
01
11
10
00
00
10
10
00
00
00
01
11
00
10
11
10
10
11
11
00
01
10
00
11
11
10
11
01
00
10
00
10
10
10
00
00
11
10
01
10
11
10
00
10
01
10
00
10
10
10
10
01
00
00
11
00
10
00
00
00
00
10
11
00
10
11
10
10
10
01
10
10
00
01
10
00
00
00
01
10
10
01
10
11
00
00
01
11
11
11
10
00
01
00
10
10
01
00
10
00
10
00
00
11
10
10
00
00
01
10
00
00
11
10
11
00
10
00
11
10
01
10
10
00
01
10
10
00
00
11
10
01
01
10
10
00
10
10
10
00
00
10
00
10
10
10
11
00
10
00
11
10
00
10
10
01
00
10
00
11
01
00
01
10
11
00
01
01
00
11
00
11
10
10
01
01
00
10
01
00
01
10
10
01
11
01
01
01
11
00
11
10
00
00
10
10
00
00
10
01
00
00
00
00
01
00
11
00
10
11
00
00
00
10
10
00
10
10
10
01
11
10
10
01
00
00
00
00
10
01
00
10
00
11
10
10
01
11
00
10
00
00
10
01
00
10
11
10
01
00
01
10
00
00
00
10
11
11
00
11
10
10
10
00
00
10
10
10
11
10
10
11
11
11
00
11
10
11
10
00
00
01
11
10
10
10
00
00
11
00
01
00
00
10
00
11
10
00
00
10
10
11
11
00
00
01
00
01
00
10
11
10
10
00
11
11
00
01
01
01
10
10
10
01
11
00
00
11
10
11
00
10
10
10
00
00
10
11
00
00
10
10
00
10
11
01
01
01
10
11
10
10
00
11
10
00
01
10
10
10
10
01
00
11
01
10
10
00
10
01
01
10
11
00
10
10
01
01
10
10
10
00
00
10
01
10
11
10
10
00
10
01
10
00
00
11
10
00
11
10
11
10
00
10
10
00
00
10
00
00
10
01
10
10
00
01
00
00
10
10
01
00
10
10
10
00
10
11
00
00
10
01
10
10
11
01
01
00
00
01
10
00
10
10
00
01
00
11
10
01
10
11
01
01
10
11
01
00
10
00
11
10
10
00
00
01
00
10
11
11
10
11
11
10
00
10
11
00
00
10
01
00
10
00
10
10
10
11
10
01
11
10
01
00
10
10
11
10
01
00
00
00
01
00
00
00
10
10
10
00
00
11
01
10
00
00
11
10
00
11
01
01
10
11
01
00
00
00
11
00
00
11
10
00
00
10
01
10
00
01
00
11
10
00
00
11
10
10
00
00
11
00
00
10
11
01
01
10
11
01
10
10
00
01
10
11
00
01
10
00
00
11
10
00
11
00
10
00
10
01
11
00
11
00
00
00
00
10
10
00
00
00
10
00
10
00
10
11
10
10
10
01
11
11
10
01
00
10
10
11
11
10
11
00
01
00
10
00
01
00
11
00
00
11
01
00
01
01
10
10
00
00
10
00
00
11
00
00
10
01
01
10
01
10
00
00
00
01
00
00
10
10
11
11
00
00
00
11
11
00
00
10
00
00
10
01
10
10
11
00
00
00
10
00
11
10
00
10
10
01
11
00
00
11
10
10
10
00
10
11
00
01
10
11
01
10
00
10
01
00
10
11
10
11
00
10
10
00
10
11
10
01
11
01
01
11
10
00
00
10
00
10
10
01
00
10
10
01
10
11
00
00
00
10
11
10
10
00
11
10
11
10
00
10
10
00
10
10
10
00
00
10
01
10
11
11
00
00
10
00
10
01
00
10
11
10
10
10
00
10
11
00
10
11
00
00
10
10
00
00
10
11
10
00
10
10
10
01
11
01
00
01
00
10
01
00
10
10
00
01
00
10
10
10
00
00
10
00
10
11
10
00
11
00
00
01
10
10
10
00
00
01
00
01
00
10
10
00
10
00
00
11
01
00
01
11
10
11
10
11
00
00
11
10
00
11
00
00
00
10
01
01
10
00
00
11
01
00
00
10
00
10
10
00
10
00
10
10
11
10
10
10
00
10
10
01
01
10
01
00
11
11
01
10
11
00
11
11
00
00
10
10
11
10
00
11
10
01
10
11
01
00
00
00
00
10
11
00
01
10
10
01
10
10
00
01
11
10
00
10
01
01
01
01
01
10
00
11
10
10
00
01
10
11
00
00
10
11
10
10
00
10
10
00
00
10
01
01
01
10
00
11
00
00
10
10
01
10
10
01
00
11
11
00
00
00
00
10
10
10
10
10
11
01
10
11
00
00
10
00
00
00
10
10
10
01
01
00
00
00
11
10
11
00
11
00
00
00
10
11
01
00
11
00
00
10
10
11
00
10
11
10
01
01
10
01
00
10
00
00
10
10
00
10
10
01
00
00
00
01
01
00
10
10
00
10
01
01
11
00
01
00
10
01
11
11
00
10
01
01
11
11
00
10
10
11
01
00
11
11
00
10
11
00
00
00
00
10
11
10
10
10
01
11
10
10
00
10
11
10
00
10
11
00
10
01
00
10
01
10
10
01
10
00
00
10
10
10
10
01
10
10
01
10
01
10
10
11
00
00
10
11
00
10
10
10
11
00
11
10
00
00
10
00
00
11
10
10
10
10
11
01
10
01
00
11
00
00
10
00
01
10
11
00
00
00
01
00
00
10
11
11
10
01
00
01
10
10
00
00
00
00
01
10
00
00
00
11
01
01
00
00
10
00
00
01
10
01
11
00
00
11
11
11
11
01
10
10
01
11
10
00
10
11
00
00
10
00
10
01
00
00
00
11
11
11
00
01
10
10
11
11
00
00
10
10
00
10
10
00
00
01
00
10
01
01
10
10
00
11
00
11
00
11
00
00
00
00
10
11
10
00
11
11
00
00
10
11
11
00
00
10
00
00
01
10
10
00
00
00
10
01
11
00
01
00
01
10
01
10
11
10
00
00
10
11
00
00
10
10
00
00
00
00
00
00
00
11
11
10
11
10
00
01
00
10
00
01
10
00
00
01
00
00
10
10
00
11
00
00
10
00
10
00
00
00
11
10
01
00
00
10
10
11
01
00
10
00
10
10
01
00
10
11
00
01
11
01
11
00
01
10
00
10
00
00
10
00
00
10
10
00
10
10
01
00
01
11
11
00
10
10
00
11
10
11
01
00
10
00
10
10
00
00
00
10
00
10
10
00
11
10
11
00
10
11
00
01
01
00
10
00
10
11
10
00
10
00
01
10
11
11
00
10
01
00
10
01
01
11
01
00
01
10
11
00
01
11
00
01
10
00
00
01
10
10
00
00
00
01
10
10
10
00
11
00
10
10
01
10
00
00
00
11
10
00
00
11
11
10
11
00
01
11
10
10
00
10
10
00
00
01
10
10
00
00
10
00
11
11
01
00
00
11
00
00
01
10
01
00
11
01
00
10
10
10
00
00
11
11
00
00
10
01
10
10
11
00
01
10
10
00
10
01
01
00
11
10
10
10
10
01
01
01
10
01
11
10
00
01
00
11
10
00
11
01
01
10
00
00
01
10
10
10
10
11
00
00
01
00
11
00
01
10
00
10
10
00
00
00
11
11
10
00
10
10
00
00
10
01
10
11
00
11
10
01
00
01
10
00
11
10
00
10
01
00
00
10
11
00
00
01
10
00
11
10
00
00
00
11
01
00
11
01
10
00
10
11
00
10
11
00
10
11
01
10
10
10
00
00
01
10
00
00
11
11
01
11
11
01
10
11
00
10
10
00
01
10
11
00
10
10
10
10
00
10
11
10
01
00
00
10
00
00
00
10
10
00
10
10
11
10
00
01
10
00
10
01
00
00
10
01
01
11
10
11
00
00
10
10
01
00
10
10
11
10
00
11
11
11
00
10
00
00
00
11
10
01
00
10
10
00
10
11
10
00
01
00
00
01
11
11
10
00
11
01
10
10
10
01
01
00
01
10
10
00
10
10
00
01
11
01
10
01
10
11
10
01
00
11
00
11
10
01
00
10
01
10
10
00
10
10
10
10
01
10
10
00
10
00
11
10
01
10
10
10
10
10
10
00
00
10
11
00
10
10
10
10
10
10
01
01
00
10
10
00
10
10
10
00
10
10
10
11
10
11
00
01
10
11
00
10
00
00
11
11
00
01
10
11
11
11
00
00
01
10
00
00
11
10
10
00
10
10
00
00
01
00
00
10
10
10
10
00
00
11
11
00
10
00
00
10
11
10
11
00
11
10
10
00
00
11
00
01
10
00
01
10
00
10
00
01
00
11
00
10
10
10
10
10
01
00
10
11
11
10
00
01
01
11
10
01
11
11
10
01
00
00
10
00
01
00
00
11
01
01
00
00
10
11
00
10
00
11
11
10
10
10
00
01
00
10
11
00
11
10
01
00
01
10
11
10
11
01
01
10
11
00
01
10
11
10
01
00
10
01
00
10
00
01
10
00
10
10
00
10
01
00
11
10
00
00
11
11
01
11
10
10
01
00
11
10
01
00
01
10
10
11
00
00
00
01
10
10
10
10
10
00
10
10
10
01
10
01
01
00
00
00
01
11
00
01
10
11
10
11
11
11
00
00
11
10
00
00
10
10
10
11
01
00
10
00
00
00
00
10
11
01
11
01
00
00
10
10
01
10
10
00
11
11
00
11
10
00
00
11
11
10
00
01
10
01
00
10
10
00
10
10
00
00
00
10
11
10
00
10
11
11
11
11
01
00
00
10
00
01
10
10
00
10
00
00
00
01
10
10
00
10
10
00
01
10
10
10
11
10
00
01
01
10
10
00
00
01
00
10
10
10
11
10
00
00
11
00
10
10
00
00
00
10
11
00
00
01
11
10
11
10
00
00
10
00
11
11
00
10
10
10
10
10
10
01
11
01
00
11
00
11
11
10
10
00
00
11
00
01
10
10
00
10
00
00
11
00
11
00
10
00
00
11
10
10
00
10
11
01
01
11
10
10
10
00
01
01
11
01
10
11
10
11
00
01
10
10
00
00
10
10
10
00
10
11
00
00
10
11
01
00
11
11
00
10
01
11
01
11
10
11
01
11
11
00
00
00
11
10
00
10
10
10
00
00
10
00
10
00
01
01
10
10
10
00
10
10
11
00
01
00
00
01
11
11
00
01
11
01
10
00
00
00
00
00
11
10
00
00
00
00
10
00
10
10
01
10
11
10
01
00
11
11
10
10
01
01
10
11
10
00
00
00
00
11
10
01
10
00
10
01
11
11
11
01
00
10
01
10
11
00
01
10
11
10
10
10
00
00
00
00
10
10
11
00
10
11
00
10
00
00
00
10
10
10
10
11
10
11
01
10
10
01
00
01
00
00
10
00
00
10
11
00
00
10
01
01
01
10
01
10
10
00
11
10
01
11
10
10
10
10
10
00
00
00
10
10
10
10
11
00
00
10
00
10
00
11
00
10
10
11
01
10
11
01
10
10
01
11
00
00
10
00
01
11
10
01
10
01
10
11
00
10
01
00
11
10
00
10
01
01
10
00
01
11
01
11
00
00
01
10
11
01
11
10
10
10
00
11
10
01
00
11
10
10
01
10
10
01
10
10
01
10
11
00
00
01
00
10
01
01
10
00
00
10
00
00
00
10
00
10
01
00
10
00
00
01
00
11
00
10
10
10
10
00
10
10
10
01
10
10
10
10
00
00
00
10
00
10
11
00
10
00
10
00
01
11
01
00
00
01
00
11
11
00
00
10
10
10
01
01
10
10
00
00
10
01
00
10
00
00
11
01
01
11
00
11
00
00
00
01
11
11
00
00
00
10
01
11
10
11
10
10
10
01
00
10
10
00
00
00
10
10
10
00
00
00
10
11
10
10
01
11
00
10
01
00
01
10
10
11
00
01
10
10
00
00
00
10
01
00
01
10
10
00
01
11
10
11
10
00
00
11
00
00
01
10
00
01
11
01
00
11
11
01
00
00
10
11
01
10
00
10
10
11
00
10
11
10
01
10
10
00
10
00
01
00
00
11
00
00
11
10
11
00
10
10
00
11
11
00
00
00
10
10
10
00
00
11
11
10
10
00
00
01
10
00
10
01
01
01
10
10
11
01
11
10
00
00
01
10
00
00
10
11
00
11
11
00
00
00
00
10
11
01
00
00
10
00
10
01
00
00
00
10
10
00
10
11
00
11
10
10
00
00
10
10
00
00
10
10
10
00
11
00
11
11
00
10
01
00
11
11
00
00
10
00
10
11
00
00
10
10
11
00
10
10
00
10
01
11
00
10
10
10
00
00
10
01
00
10
10
10
00
00
00
11
10
01
10
10
10
01
01
10
01
00
01
10
01
01
01
10
10
00
11
00
00
11
10
00
01
00
11
11
01
11
00
01
00
01
10
00
00
10
11
00
01
11
10
00
00
01
10
00
10
00
10
10
01
10
10
01
10
11
00
11
01
01
11
00
11
00
11
11
01
00
11
01
00
00
10
10
00
10
10
00
00
00
00
00
00
11
10
00
11
10
10
10
01
11
10
10
01
01
00
00
10
00
01
11
00
10
10
00
00
10
11
01
00
00
00
10
10
00
00
10
11
10
10
01
10
01
10
00
01
00
11
11
10
00
00
10
10
10
00
10
10
01
01
10
10
00
00
00
00
01
00
10
11
00
00
00
01
10
11
10
00
10
10
00
00
01
10
00
01
00
00
00
01
01
10
11
00
10
10
10
00
00
00
10
11
00
11
10
01
10
11
00
10
11
00
00
01
00
10
10
00
10
01
01
10
00
01
01
01
11
00
10
11
00
10
10
01
00
11
10
00
10
11
11
00
11
10
01
00
00
10
11
10
00
00
10
00
00
11
10
10
00
11
11
10
00
00
10
00
10
10
00
11
00
01
11
00
11
01
00
11
10
10
00
00
10
10
10
00
01
10
10
10
00
00
10
01
10
11
00
11
01
10
00
00
10
00
00
00
11
10
10
11
00
01
11
00
10
11
00
00
00
10
11
11
01
01
10
10
10
00
11
10
01
01
10
10
10
01
00
10
00
00
10
11
11
01
00
00
10
01
00
10
11
00
01
00
00
10
01
11
00
00
11
10
11
00
00
11
00
00
10
11
00
00
10
01
00
11
01
01
00
00
01
00
00
11
10
10
01
00
10
11
00
00
10
01
00
00
10
10
10
10
00
10
00
01
10
10
11
10
11
00
01
00
10
00
10
00
00
10
11
00
10
11
10
11
10
01
11
10
00
01
10
11
00
00
10
10
00
00
00
10
10
00
10
10
00
10
10
01
10
10
11
00
00
00
10
10
00
01
00
10
10
10
10
01
11
11
00
00
10
10
00
01
00
01
10
01
00
00
11
11
11
00
01
10
10
10
11
01
00
11
10
01
10
10
00
00
11
10
10
00
00
00
00
00
11
10
10
00
00
00
00
00
11
00
01
10
00
10
00
10
10
01
00
10
01
10
10
10
00
10
00
01
10
00
00
10
00
00
00
10
10
00
00
11
00
10
10
11
10
00
10
01
01
10
10
01
00
10
11
00
11
10
00
10
10
00
00
11
11
00
11
11
01
00
00
10
10
10
00
11
11
00
10
00
11
11
00
11
11
10
10
11
00
00
10
11
00
00
10
01
00
11
11
10
10
00
00
00
10
10
00
10
11
00
00
01
00
00
00
10
10
01
10
10
00
10
00
10
00
00
10
10
00
10
10
10
10
10
10
01
10
01
00
00
00
10
10
00
01
10
00
00
01
01
00
10
10
00
01
00
01
00
10
00
01
10
10
11
10
11
00
00
10
10
10
01
11
10
00
11
01
01
11
01
00
10
11
10
11
00
11
10
00
01
10
11
00
10
00
00
00
10
00
10
00
01
00
11
01
00
01
01
10
11
00
01
10
11
00
01
00
10
00
00
11
10
00
10
01
10
00
00
00
00
01
11
10
00
11
10
10
00
11
10
10
11
00
11
01
00
11
01
00
10
10
01
00
10
10
00
10
00
11
10
01
00
10
10
00
11
10
10
01
11
10
00
11
00
11
10
10
10
10
10
01
10
00
10
01
01
11
10
10
00
00
01
00
10
11
11
00
00
00
01
00
01
01
10
11
01
11
10
01
10
11
10
00
01
01
00
11
00
10
11
10
11
00
01
00
01
01
01
10
10
01
00
10
10
00
00
11
11
10
11
10
11
01
01
00
10
10
00
01
10
10
00
00
00
10
00
10
10
10
11
00
01
01
10
10
10
11
00
01
10
10
10
10
10
01
00
10
10
11
10
01
10
11
10
01
10
10
00
00
00
10
00
00
00
01
11
00
00
11
01
11
11
10
01
00
00
10
10
00
00
00
10
00
01
00
00
10
00
10
10
00
10
01
10
10
00
10
01
00
11
00
01
10
11
10
00
10
11
01
11
10
00
10
10
01
00
00
10
10
01
10
11
00
11
11
01
01
00
10
11
00
01
10
10
00
01
01
10
10
00
10
10
10
00
00
10
01
00
00
11
00
10
10
10
11
00
00
11
10
01
00
10
00
00
00
11
00
01
01
00
11
00
00
10
11
10
01
01
10
01
00
10
10
10
01
01
00
01
00
10
00
00
10
11
00
00
11
10
01
10
00
01
11
10
00
00
10
11
01
00
10
10
11
10
11
00
00
10
00
11
10
10
10
00
11
01
10
00
01
00
01
10
10
10
00
01
00
11
10
10
10
00
10
10
00
01
10
10
00
10
00
01
10
10
00
00
10
01
10
00
00
10
11
10
00
01
10
00
11
10
00
01
10
11
00
00
11
00
00
11
10
00
00
01
10
10
00
10
01
01
01
00
10
10
10
10
11
10
00
00
10
00
00
00
11
00
00
00
01
10
01
01
01
01
10
00
00
11
10
00
01
01
00
10
11
10
11
00
10
11
00
01
01
10
01
01
11
11
10
00
00
11
00
11
10
00
10
11
11
10
10
01
10
00
01
11
00
10
01
10
00
00
10
10
00
00
10
11
00
01
00
01
10
10
10
00
10
01
01
10
11
00
01
00
10
00
10
01
01
00
11
01
01
10
10
00
01
00
10
10
10
01
01
11
01
00
00
10
10
00
01
10
10
10
00
10
01
10
00
00
10
00
00
00
10
01
00
11
00
00
10
01
00
01
11
10
00
10
00
10
01
10
10
00
10
01
00
00
01
10
10
01
11
10
11
10
10
10
00
10
00
00
10
11
10
11
10
00
00
10
10
00
11
11
11
01
00
01
00
01
10
00
00
10
11
10
10
10
11
10
00
00
10
10
11
00
00
00
00
01
10
01
10
00
10
10
01
10
11
01
00
10
01
11
00
00
10
00
11
10
10
10
00
11
11
10
00
00
10
10
01
00
10
10
00
11
10
00
11
00
10
00
00
11
10
10
10
11
10
10
00
01
10
10
10
00
10
10
10
11
00
00
00
00
01
10
11
00
10
11
00
10
10
01
00
00
01
11
10
10
00
11
00
01
11
10
11
10
01
01
10
11
01
10
10
00
00
00
11
00
11
10
00
00
00
10
10
11
01
01
01
10
10
00
10
01
10
11
00
01
10
10
00
00
00
00
10
10
00
11
01
11
01
10
00
01
00
11
10
00
00
10
10
00
10
01
00
10
11
10
11
00
01
10
00
00
00
00
11
01
01
10
11
11
00
01
10
10
00
01
11
10
00
00
11
00
00
10
10
10
01
00
00
10
01
00
01
11
11
00
11
10
01
01
10
01
01
00
11
00
10
00
00
10
11
00
01
10
00
00
10
10
01
11
00
10
10
00
10
11
00
10
00
00
10
10
10
10
10
01
00
00
10
00
00
11
11
10
10
00
10
11
00
10
00
00
10
00
11
00
10
10
01
10
10
11
11
00
10
00
10
10
00
01
01
01
10
01
00
10
00
10
11
00
11
11
10
00
00
00
00
10
10
00
10
00
00
01
00
00
10
00
10
00
11
11
00
00
01
11
01
10
01
10
00
01
11
00
00
10
10
10
10
00
00
10
11
01
11
01
10
11
11
10
11
00
01
10
00
10
10
00
00
01
10
00
10
01
10
10
01
10
11
11
00
10
11
00
00
01
01
10
11
00
00
10
10
00
11
10
10
01
00
10
11
10
01
00
01
11
11
01
11
01
00
00
10
11
00
00
11
00
00
11
00
10
00
00
10
00
00
11
00
01
11
11
11
00
00
10
10
00
10
11
00
01
10
10
10
01
00
00
01
11
00
00
01
01
11
11
00
10
00
01
10
01
10
11
10
00
00
00
01
00
11
10
00
10
10
00
01
11
10
01
01
00
01
11
10
00
11
00
00
01
11
10
11
10
00
01
10
01
10
10
10
10
00
10
01
10
10
01
10
00
11
11
01
10
11
00
00
00
11
10
11
00
00
10
00
01
00
00
10
10
10
10
10
01
10
11
01
10
10
10
00
00
00
11
00
00
10
01
00
10
01
00
00
11
10
01
11
00
00
10
11
11
01
00
11
01
00
10
10
00
10
10
01
00
00
10
11
10
00
00
00
00
10
10
01
10
10
00
10
00
00
10
11
00
00
00
01
00
10
10
00
10
10
10
01
10
00
10
00
11
11
01
01
00
11
00
00
11
01
01
10
10
00
10
10
00
10
01
11
10
11
10
11
10
11
10
01
00
10
10
00
01
10
01
10
11
11
00
01
10
01
00
00
11
00
00
00
10
01
10
00
01
11
11
00
11
11
10
00
11
00
00
10
01
10
11
11
01
01
10
11
00
00
01
00
11
10
01
10
01
00
11
01
00
11
11
01
00
01
00
00
00
10
00
11
10
11
01
00
01
00
10
10
00
00
11
00
00
10
00
01
10
10
00
10
10
00
10
10
00
10
00
00
01
10
10
10
01
11
00
10
10
00
00
10
10
00
10
01
10
01
10
10
01
10
11
10
10
00
01
10
01
01
11
00
10
11
00
10
11
01
10
11
10
00
01
00
10
00
11
10
10
00
10
00
11
00
00
00
01
11
01
11
10
10
01
00
10
00
01
10
11
00
00
11
00
10
11
10
10
00
11
10
00
01
00
00
10
00
10
11
10
01
00
10
10
10
11
00
00
10
00
10
11
01
10
10
11
01
01
00
10
11
11
01
10
01
01
11
10
11
00
00
10
11
00
00
00
10
10
01
01
11
00
10
01
11
10
00
10
10
00
00
10
01
10
01
00
11
01
00
00
00
11
11
00
00
10
01
00
00
11
10
10
01
00
11
11
10
10
01
00
01
00
10
10
00
10
10
00
00
10
10
11
00
00
00
11
11
10
00
11
11
10
01
00
11
11
00
01
00
11
11
00
10
00
01
10
11
00
11
10
10
00
00
00
00
00
10
10
11
01
00
11
11
00
01
01
11
00
00
10
00
10
10
01
00
00
10
00
00
10
11
01
00
10
00
00
10
10
10
10
01
10
10
01
00
10
10
00
10
10
10
00
00
10
11
10
10
10
00
10
00
00
10
01
01
01
11
10
11
00
00
10
01
00
10
01
01
00
00
00
01
00
10
01
11
00
01
10
10
10
00
10
01
01
10
00
11
10
10
10
00
00
01
10
10
00
10
01
10
01
00
00
10
11
11
01
00
10
00
01
00
10
10
00
01
00
10
10
01
11
10
10
00
00
10
10
00
00
10
10
00
01
00
10
11
10
11
01
10
11
00
00
10
01
00
10
10
01
01
10
11
10
01
10
11
01
10
01
01
00
10
10
00
00
10
10
01
10
01
10
11
01
11
11
10
11
00
00
10
00
01
11
11
00
00
00
10
00
10
10
11
01
01
01
00
00
11
10
10
00
00
11
10
10
00
00
00
00
10
00
00
00
11
00
10
10
00
01
00
11
01
11
11
00
00
01
01
10
10
01
01
10
10
00
00
10
11
00
01
11
10
00
00
11
11
10
01
00
10
00
00
10
01
01
10
11
00
10
00
10
00
00
10
10
10
00
00
01
00
10
01
11
00
11
00
00
00
00
10
10
00
00
00
00
00
11
00
10
00
11
00
10
10
00
00
00
00
11
11
10
11
00
00
10
11
00
10
00
10
01
00
00
00
11
10
10
11
10
00
10
00
01
10
11
10
00
00
01
11
11
00
10
01
01
10
10
10
00
10
10
00
10
10
10
00
01
00
10
11
00
00
11
10
00
11
01
10
10
01
00
10
10
00
10
10
10
01
10
11
00
11
01
10
10
00
00
10
11
10
00
11
10
11
00
00
11
00
10
10
10
01
11
00
11
10
10
11
00
01
01
11
11
10
00
10
10
01
01
01
11
11
10
00
01
10
01
01
01
10
01
00
10
10
10
11
10
00
01
11
11
10
00
10
10
10
10
00
00
10
10
00
10
11
11
11
00
11
10
10
10
01
01
10
11
00
10
10
01
00
01
10
00
10
11
10
00
10
10
11
01
11
00
01
11
00
00
01
00
10
11
00
10
11
01
00
00
10
00
10
10
10
10
00
00
01
11
11
00
11
00
10
01
11
11
00
00
10
10
10
11
01
01
10
11
01
01
00
10
11
00
10
10
10
01
01
01
00
11
10
10
10
01
00
01
10
10
10
01
01
11
11
00
11
10
10
01
00
11
11
00
01
10
00
10
01
01
01
11
11
00
00
00
01
00
01
10
10
10
00
10
00
00
11
01
10
10
01
00
10
10
00
10
10
10
00
00
00
00
00
01
00
01
11
10
11
10
11
10
00
00
10
11
00
10
10
11
10
10
00
00
00
00
00
10
00
11
11
01
11
01
11
10
01
10
00
00
10
10
01
10
10
01
00
10
10
01
00
11
10
10
10
00
10
10
10
00
10
01
01
10
10
01
00
10
00
10
00
01
01
10
00
10
00
00
00
10
10
11
00
10
01
00
10
10
11
11
01
11
00
11
01
10
11
00
00
10
10
00
00
11
10
10
10
00
10
10
10
00
00
01
01
11
11
10
01
01
11
01
01
10
11
01
00
00
10
11
00
01
11
00
10
11
10
10
00
01
00
00
01
10
11
00
00
10
00
00
11
10
00
00
11
10
01
10
00
11
01
10
10
11
10
10
00
10
00
10
00
00
10
00
10
11
00
01
00
10
00
01
01
10
00
00
00
11
10
01
10
01
10
11
00
00
10
11
10
11
01
00
00
11
01
01
00
10
11
00
10
10
00
11
00
00
11
00
10
00
10
00
10
10
01
10
11
00
01
11
11
01
10
01
01
11
11
01
11
00
01
11
00
00
10
10
00
11
10
10
10
00
00
00
00
11
11
10
10
11
00
01
10
10
00
00
10
11
00
00
00
11
10
11
00
01
00
10
01
00
10
11
10
00
10
11
00
00
00
11
10
11
11
01
00
11
00
10
10
00
00
10
00
00
11
00
01
00
01
00
10
10
00
00
10
00
00
10
10
01
11
10
10
10
00
01
10
01
11
10
00
01
11
00
11
11
00
00
01
11
00
00
10
10
10
00
00
10
10
00
00
00
10
10
01
00
10
10
11
10
00
11
11
10
10
10
00
10
10
00
10
10
10
00
10
00
00
10
11
10
00
11
01
11
11
10
00
00
10
00
10
00
00
10
10
11
10
11
00
11
00
00
00
00
10
10
00
00
00
10
00
10
11
10
11
10
10
10
10
01
01
00
11
10
01
10
00
01
10
10
00
10
11
00
00
11
01
01
10
00
10
10
10
01
00
11
10
11
01
10
00
11
11
10
01
00
10
11
10
00
11
10
00
00
01
11
01
01
11
00
00
10
11
01
01
01
11
10
00
00
10
10
00
00
10
10
00
11
10
01
00
01
11
00
01
10
10
00
10
10
01
10
10
01
00
10
01
11
10
11
00
00
00
10
00
10
00
00
11
11
10
01
11
10
10
10
00
01
00
10
10
10
00
10
00
10
01
00
00
00
01
10
00
10
00
10
11
00
10
01
00
00
00
00
10
00
00
00
11
01
10
11
11
10
00
11
10
00
10
11
00
00
10
10
10
00
11
00
01
00
11
10
00
01
01
10
00
01
10
11
01
10
00
11
00
11
11
00
11
00
10
01
10
10
01
11
10
11
11
11
01
00
01
10
01
00
10
11
10
00
01
10
10
10
10
11
00
01
00
10
11
00
10
00
01
11
10
01
11
10
11
10
00
00
00
11
00
00
10
01
00
10
01
00
01
00
10
10
00
10
00
10
10
10
10
11
11
01
01
10
11
00
00
00
11
00
01
00
10
10
00
10
10
00
00
10
01
10
10
10
00
10
01
00
11
11
00
00
00
10
00
00
10
01
00
11
10
10
10
01
11
00
00
10
11
10
00
00
00
10
10
10
11
11
10
10
10
00
11
11
10
11
00
10
10
11
00
11
01
00
00
01
11
10
01
01
10
10
00
00
10
01
01
00
10
10
00
10
00
10
10
00
00
10
11
10
00
00
11
00
00
01
10
00
10
00
00
10
10
01
01
11
10
00
00
00
00
10
01
01
00
10
11
00
00
01
01
10
10
01
10
10
01
00
00
00
10
10
00
10
00
10
11
01
00
11
00
00
10
10
11
01
11
10
01
00
01
00
01
10
10
01
10
01
01
00
10
00
00
00
11
00
00
11
01
01
10
11
10
01
10
10
00
00
00
00
11
00
00
10
10
00
01
00
10
01
11
11
01
10
11
11
00
00
00
10
00
01
10
00
01
10
01
10
11
00
00
10
00
11
10
00
00
11
00
01
00
01
11
01
10
10
00
00
00
10
00
00
00
10
10
00
10
10
10
01
10
10
00
01
10
00
00
10
00
01
10
10
00
00
10
10
10
00
01
01
10
00
00
00
00
10
10
10
00
01
00
10
11
11
11
10
10
00
00
11
00
01
10
00
11
10
10
01
01
00
00
00
11
00
00
11
10
11
01
00
10
10
01
01
00
11
10
00
00
01
00
00
00
10
10
10
00
00
10
00
10
11
01
10
00
10
10
11
10
10
00
00
10
00
11
00
01
10
11
10
00
11
00
01
10
10
01
00
11
00
01
01
10
10
11
00
00
10
00
00
10
00
00
10
11
10
00
00
00
00
00
00
11
00
10
11
11
00
01
10
10
10
01
11
01
01
10
10
00
00
10
10
00
01
11
10
10
11
00
10
01
11
10
00
00
10
00
01
11
00
01
10
00
10
10
01
01
10
10
10
00
01
11
10
00
10
10
00
01
00
00
00
10
10
00
10
10
11
01
01
00
11
10
01
01
10
00
00
11
10
10
00
10
11
00
11
00
00
10
00
00
11
00
10
00
00
10
00
01
10
00
11
10
01
00
01
10
11
10
01
00
11
10
00
10
11
00
01
00
10
00
00
00
00
11
10
11
00
00
00
10
10
00
01
10
11
10
00
00
00
01
00
00
10
10
10
10
01
10
11
00
10
10
01
00
01
11
01
00
11
00
00
00
11
10
00
11
00
10
10
10
01
00
10
00
00
10
10
01
00
10
10
10
01
00
11
10
00
00
00
00
10
10
10
00
00
10
11
01
00
10
10
01
00
01
00
01
10
10
10
01
00
10
00
01
11
01
11
01
00
10
10
10
11
01
00
11
01
00
11
01
10
10
00
01
00
10
10
01
00
11
00
10
11
00
01
10
01
01
01
01
11
01
00
00
11
11
00
00
11
10
10
00
10
10
11
01
00
00
10
00
10
10
10
00
00
10
11
00
11
01
00
11
11
00
11
10
00
00
00
10
10
00
00
00
00
00
10
11
11
01
00
10
00
00
11
01
00
10
10
00
00
10
00
10
11
10
10
01
01
10
10
10
01
01
01
11
11
01
01
00
11
01
01
10
10
00
10
10
00
00
10
01
00
11
00
01
01
01
10
00
00
11
11
01
10
00
10
10
00
01
11
00
10
10
10
00
00
10
10
10
10
11
11
00
10
10
00
01
11
00
00
00
11
00
10
11
00
00
00
01
10
00
10
10
10
10
00
00
11
00
11
01
00
11
00
01
10
11
01
10
10
00
11
10
00
01
01
01
10
11
01
11
00
00
10
11
10
01
11
00
10
11
10
11
10
00
01
01
10
11
00
10
10
11
00
01
00
10
00
01
00
00
10
11
00
10
10
01
00
10
10
01
01
10
10
00
10
10
00
10
00
01
00
00
10
11
01
10
01
01
00
01
00
00
10
01
00
10
01
10
01
00
10
10
01
01
10
00
10
00
10
01
00
00
01
10
10
01
00
00
10
00
00
10
10
11
10
10
00
00
00
10
01
00
00
10
10
01
11
11
01
10
10
10
11
11
01
01
11
01
00
00
10
00
00
10
00
00
01
11
01
11
11
10
10
01
11
11
00
01
10
00
10
00
10
10
00
01
00
01
01
01
10
11
10
11
11
01
10
10
00
10
10
00
01
10
00
00
11
11
11
00
10
00
11
00
00
01
11
10
10
10
00
00
10
10
10
11
11
10
10
01
10
11
01
00
01
01
10
11
11
01
11
10
01
00
01
10
00
00
10
10
01
11
10
10
10
10
00
11
10
00
11
10
10
00
00
10
10
10
00
01
00
11
10
11
00
11
10
10
11
00
11
10
10
00
00
10
01
00
00
01
10
00
10
10
00
10
10
00
10
11
00
01
10
01
11
10
00
10
00
10
00
00
10
10
10
00
00
10
10
00
10
01
00
00
10
00
00
11
01
10
10
10
00
11
10
11
01
00
10
10
01
10
10
00
01
10
01
00
10
10
11
01
11
00
00
00
00
01
11
11
00
11
11
11
01
00
01
11
10
00
00
00
11
01
01
10
10
00
00
11
01
10
11
11
11
10
10
00
00
10
10
10
10
10
00
10
00
10
11
11
10
00
01
00
00
11
10
00
11
00
01
00
00
10
10
01
01
11
10
11
01
01
11
10
00
00
00
00
10
11
00
00
11
10
01
01
01
00
10
10
01
00
11
00
10
01
00
01
01
01
10
10
00
11
01
01
10
10
00
10
10
00
10
10
01
00
10
10
00
00
11
00
01
00
10
10
00
01
10
10
01
00
00
10
00
10
10
10
00
00
11
11
00
11
00
10
10
01
00
10
00
00
01
11
10
00
11
10
01
00
10
10
00
10
10
11
10
10
00
00
01
11
10
00
10
00
01
01
00
00
11
10
01
10
11
11
01
11
01
11
10
11
01
00
10
11
00
00
10
11
11
00
10
00
00
10
10
00
01
00
00
01
10
10
01
00
11
10
00
01
10
10
10
11
01
10
00
11
00
01
10
10
00
00
10
10
11
00
10
01
01
11
10
00
00
10
10
00
11
10
11
01
00
00
00
00
10
10
00
10
10
10
00
00
10
00
10
00
00
00
00
11
10
10
11
00
00
10
11
10
01
11
11
10
00
11
10
01
10
10
00
00
10
00
00
01
10
00
00
10
11
00
01
10
10
11
01
00
00
10
10
00
00
00
10
11
00
11
10
11
10
10
00
11
10
01
00
00
00
01
10
01
00
10
10
10
01
11
00
00
01
11
00
01
11
01
10
11
10
01
00
10
00
00
00
10
00
00
10
11
01
00
00
00
10
10
10
10
01
00
00
00
00
00
11
00
10
11
10
10
00
00
10
00
00
01
10
10
11
00
01
11
10
10
11
00
01
10
11
00
01
11
11
10
00
00
10
10
01
00
10
11
01
10
10
00
11
00
11
10
00
01
01
01
10
11
00
01
10
11
00
11
10
11
10
00
10
00
01
10
01
01
01
10
10
00
11
00
00
01
10
00
00
10
10
00
10
00
11
00
01
11
00
00
11
00
10
10
00
00
10
01
01
10
11
00
00
00
10
01
00
11
11
10
10
00
00
10
10
01
10
10
01
01
00
11
10
11
00
11
10
01
00
10
10
00
11
10
10
00
00
01
11
10
01
00
11
10
01
10
10
01
00
11
00
10
10
10
01
01
00
10
10
01
00
00
10
10
00
11
10
10
10
00
11
00
00
10
10
10
10
11
00
10
10
01
00
00
01
10
10
00
01
00
00
11
01
10
01
01
11
01
00
00
10
10
00
01
11
10
10
00
00
01
01
00
00
10
00
10
10
00
10
10
11
10
01
00
10
01
10
10
00
11
00
00
00
10
11
00
00
00
11
00
00
11
10
00
10
00
00
10
10
01
10
00
00
00
00
01
00
10
00
00
10
10
01
10
11
00
01
10
01
11
11
10
11
00
01
00
10
10
00
10
11
11
10
10
10
00
01
00
11
00
11
01
10
10
00
01
00
01
10
00
10
00
01
11
10
00
10
10
10
10
10
01
10
00
00
11
00
01
00
01
11
10
10
01
10
10
01
01
11
00
00
01
01
10
00
11
10
10
00
00
00
00
10
11
01
01
10
00
11
01
00
00
10
10
11
01
00
00
11
10
00
10
11
00
10
01
10
01
10
01
00
01
00
00
10
10
10
01
10
00
10
10
10
00
01
10
00
11
10
11
10
10
01
10
10
10
10
00
10
00
01
01
10
00
00
00
00
10
10
10
00
10
00
01
00
11
10
10
11
11
01
10
11
00
00
00
10
01
00
11
01
10
10
10
10
01
10
10
11
10
01
00
01
11
01
10
01
00
10
10
00
00
10
10
01
01
01
00
00
10
10
01
10
10
00
10
00
00
10
10
00
01
11
01
10
01
10
10
00
00
00
10
00
01
11
10
01
00
11
00
10
10
11
00
00
00
11
10
00
11
00
10
00
11
11
00
00
10
00
10
10
11
01
10
00
10
00
10
11
00
00
10
10
10
00
00
10
00
10
00
01
10
01
00
00
10
00
00
10
10
00
10
11
10
10
00
00
11
00
01
10
00
00
00
00
11
01
00
11
10
01
11
00
01
10
10
01
10
00
01
10
10
10
11
00
01
11
00
10
10
10
11
00
01
10
10
10
10
10
01
01
11
10
10
10
00
00
00
00
10
10
11
11
10
00
10
00
00
10
10
00
10
01
10
10
11
00
00
10
00
10
00
10
01
00
10
10
10
11
10
00
00
00
10
01
01
10
10
01
11
01
00
10
10
11
00
01
10
01
01
11
11
10
10
00
11
11
11
01
00
00
11
00
10
11
11
00
01
00
00
10
01
00
11
00
10
11
00
11
00
01
00
10
10
00
10
10
11
00
01
01
10
11
10
11
11
00
00
01
10
10
10
01
01
10
01
11
00
10
00
10
10
01
01
00
01
00
00
10
00
00
10
10
00
10
00
00
00
01
00
00
00
00
10
10
00
00
00
00
11
10
10
01
01
11
10
01
01
00
10
10
10
10
10
00
00
10
00
01
00
01
00
00
01
00
01
10
01
01
10
00
10
00
01
00
11
10
00
00
01
10
00
00
11
00
00
11
11
10
00
00
10
00
00
10
10
01
00
11
11
00
00
01
11
00
00
10
10
01
11
11
00
10
00
11
00
10
00
00
10
10
00
11
00
01
00
00
10
00
01
10
10
01
00
11
10
01
10
00
00
11
10
00
11
10
00
10
10
00
00
10
01
10
00
10
11
11
10
00
00
00
10
01
10
01
00
01
10
10
10
01
11
11
00
01
10
11
10
01
00
11
10
01
11
01
01
10
11
10
00
00
00
00
10
10
00
00
11
11
00
10
00
01
00
00
00
10
00
10
11
00
10
11
01
10
01
11
10
00
10
10
00
00
11
10
00
10
01
10
11
10
11
01
01
11
10
01
01
10
00
10
01
00
00
00
11
11
01
00
11
01
00
00
01
00
01
10
11
10
00
11
11
10
00
10
11
01
00
11
01
01
01
10
10
01
01
10
11
00
00
00
01
11
10
10
10
00
01
10
11
10
00
01
00
00
10
10
10
10
00
10
10
00
10
11
01
00
10
01
00
01
10
11
00
00
00
00
10
10
01
00
10
00
11
11
11
00
00
00
00
10
10
10
00
10
00
01
10
10
01
00
10
00
10
10
01
01
10
00
11
10
01
00
00
10
00
10
10
00
11
00
01
00
01
01
10
00
01
10
11
00
00
00
01
00
10
10
10
10
01
10
10
00
00
11
01
00
11
01
11
10
10
10
11
00
00
00
00
10
11
00
00
00
10
10
10
01
10
10
10
11
10
10
11
00
00
00
00
11
00
00
10
11
10
10
10
01
00
01
00
10
10
00
10
00
00
10
11
00
00
00
11
00
10
00
00
00
10
11
00
01
10
11
10
01
10
10
10
01
10
11
00
00
01
11
00
00
01
00
00
11
10
00
10
01
00
01
10
10
01
11
10
01
11
11
11
11
00
00
00
10
11
00
00
00
10
00
00
10
00
10
10
00
10
00
10
00
00
01
00
00
00
00
00
11
00
10
11
00
01
10
01
00
10
00
11
00
00
01
00
11
10
10
00
10
10
00
01
10
11
00
00
10
01
10
10
11
10
01
00
00
01
10
11
11
01
01
10
10
01
10
01
01
10
10
11
01
01
11
10
00
01
10
11
10
01
01
00
10
00
00
01
10
10
11
00
00
10
01
01
00
01
10
10
01
10
10
00
01
01
10
10
00
10
11
11
01
01
10
10
01
00
11
10
00
10
00
01
01
01
10
00
00
01
01
11
11
00
11
10
01
00
11
11
00
00
11
10
00
00
00
00
00
10
10
10
10
11
10
11
01
00
10
11
01
01
11
11
00
00
00
01
10
10
01
01
00
10
01
00
01
10
11
10
10
00
00
00
01
10
00
00
00
10
10
11
00
10
11
11
00
10
00
00
10
11
11
01
00
10
01
00
10
10
01
00
10
01
00
11
10
01
11
11
00
00
00
10
10
10
00
00
11
00
01
00
00
01
10
11
01
01
10
10
00
10
10
00
00
01
00
10
10
10
10
10
01
01
01
00
00
00
11
00
11
10
01
10
10
00
01
00
11
00
00
00
00
01
10
11
10
00
10
11
00
00
10
00
00
11
11
01
11
10
11
10
00
01
10
00
00
00
00
01
11
11
01
00
11
10
01
10
01
01
10
01
00
10
11
01
00
10
11
00
01
10
11
01
00
01
10
10
10
10
00
01
10
10
00
11
00
00
00
10
10
00
00
01
10
00
11
01
00
10
00
10
11
00
01
10
10
00
01
01
11
01
01
10
10
11
00
10
11
00
01
10
10
10
00
01
10
00
00
11
10
00
00
10
00
00
10
00
01
00
11
10
01
10
10
00
01
00
10
00
00
00
00
00
10
10
00
00
11
10
10
10
11
00
11
00
01
11
10
10
10
10
00
10
10
10
10
00
01
10
01
01
11
11
10
00
10
11
01
00
11
11
01
00
00
10
00
10
10
11
10
10
00
11
11
00
01
00
01
01
10
10
11
10
00
10
10
01
10
10
00
00
10
11
00
00
10
11
10
10
10
10
00
00
10
11
00
00
00
11
10
11
11
00
00
10
00
11
00
00
01
10
00
01
10
11
10
00
00
01
10
11
01
00
01
10
11
00
00
10
01
00
11
01
10
00
11
00
01
00
10
01
01
10
00
01
10
11
01
00
00
10
10
00
00
10
01
00
11
10
11
00
00
00
01
01
10
01
00
00
11
00
00
11
00
00
10
01
11
00
11
10
00
11
11
01
00
00
10
00
10
01
10
10
00
11
00
11
00
01
10
10
00
01
01
11
11
00
00
01
10
10
10
00
10
10
00
11
10
00
00
11
11
10
10
10
10
01
10
10
11
10
10
11
01
01
10
10
01
10
01
01
10
10
01
00
01
10
10
00
11
00
00
01
00
10
00
00
10
10
10
00
11
01
01
10
01
10
00
10
10
01
00
00
10
00
00
00
11
10
10
00
00
10
11
01
00
10
10
10
00
00
10
01
00
11
01
10
10
00
00
01
10
10
00
00
11
00
11
10
00
11
00
11
10
00
00
01
10
00
01
11
00
00
10
00
10
10
10
10
10
10
00
00
00
00
00
11
00
00
00
00
00
01
11
10
10
00
10
11
01
00
00
11
00
00
01
10
00
10
00
00
10
10
10
10
01
00
01
00
00
00
01
11
00
00
01
10
01
00
10
10
10
01
00
00
10
10
00
00
10
10
01
00
10
10
10
11
10
00
10
11
00
01
11
10
10
00
11
00
00
00
10
00
01
10
01
00
00
00
00
10
11
10
00
11
10
10
00
11
01
00
11
10
00
01
01
11
10
01
00
00
01
10
10
00
01
11
11
01
10
10
10
11
00
00
10
11
00
00
10
10
00
01
00
11
11
11
00
00
10
00
00
10
11
00
00
10
10
00
11
10
00
01
11
11
11
00
10
11
00
00
10
11
00
00
10
10
00
00
10
10
00
01
01
10
10
10
00
00
00
00
10
11
10
11
00
11
10
01
10
00
11
10
11
00
10
00
00
00
01
10
10
00
01
10
11
10
11
00
11
00
10
10
10
11
00
00
10
01
00
00
00
01
10
00
10
10
10
10
00
01
00
00
10
10
00
00
10
10
10
01
10
10
00
11
00
11
10
11
10
10
00
00
10
01
00
10
01
10
10
00
00
10
11
10
00
11
10
00
00
10
01
01
10
10
01
01
01
01
00
11
10
00
01
01
10
10
01
01
00
10
10
10
11
10
00
00
10
10
11
00
00
11
10
10
11
11
00
00
11
10
00
10
10
11
00
11
10
00
10
00
11
10
00
00
10
10
10
10
00
10
00
01
10
10
10
10
10
10
01
00
10
00
10
11
10
10
10
00
01
01
11
00
00
10
01
01
10
11
01
10
01
00
10
00
11
10
01
00
01
10
00
11
10
11
00
00
11
10
00
10
00
00
00
11
10
11
11
01
11
10
01
00
11
00
11
00
01
01
00
10
10
00
01
00
11
00
11
10
00
11
10
10
00
10
11
00
00
10
11
10
11
10
00
11
10
01
00
10
10
01
10
00
01
11
01
10
00
00
11
00
10
11
00
00
11
00
10
10
01
00
11
11
10
01
10
00
01
11
11
00
10
11
01
00
10
10
00
00
10
00
10
00
11
10
10
01
00
01
10
10
11
00
00
00
00
11
10
10
00
11
00
00
01
01
11
00
10
00
10
10
00
11
10
00
10
00
01
01
01
10
00
10
00
10
10
10
00
10
10
11
10
00
00
00
00
10
10
10
00
00
10
00
00
10
00
00
10
10
00
00
01
10
00
01
11
10
10
00
00
11
00
00
11
11
00
10
10
10
00
10
10
00
10
01
00
00
10
10
01
10
00
01
11
10
10
10
11
00
11
00
10
10
00
01
10
00
00
10
10
10
00
10
01
00
00
10
10
10
10
01
01
11
01
10
10
10
00
00
00
00
00
10
10
01
10
10
11
11
01
11
10
10
00
00
00
10
11
11
10
01
11
00
01
10
00
00
00
10
10
10
00
00
00
00
00
10
10
00
01
11
10
10
01
10
10
11
00
10
10
10
10
10
11
11
01
01
10
10
10
00
00
00
10
10
10
00
00
10
00
10
10
10
00
01
11
01
10
01
00
10
10
00
00
11
11
10
10
00
10
00
01
01
00
01
10
10
00
10
01
11
01
00
10
00
11
00
11
10
01
10
10
01
01
00
10
00
00
11
11
10
10
01
01
11
11
10
10
11
10
00
01
00
10
10
10
00
00
00
10
01
00
01
00
00
10
10
00
10
10
00
00
10
00
00
11
10
11
10
10
01
01
01
00
10
11
01
00
11
00
11
11
00
00
11
10
10
01
00
10
10
00
10
01
00
00
01
10
10
10
11
00
01
10
01
11
00
01
11
11
01
00
11
10
10
00
01
01
11
00
00
00
11
10
10
00
11
00
11
10
01
01
11
01
00
01
11
10
10
01
01
00
11
11
01
10
10
10
00
10
10
11
00
01
11
00
00
11
00
10
11
10
01
00
10
11
01
10
11
00
10
10
00
00
10
11
01
10
00
11
11
11
10
00
11
00
01
10
10
00
10
01
00
10
10
00
10
10
10
10
10
00
10
00
00
00
00
00
00
01
01
00
01
00
10
00
10
11
00
00
10
01
01
00
00
00
10
00
01
10
10
10
00
01
01
10
10
00
00
11
01
00
01
11
11
00
10
00
10
10
10
01
01
10
10
11
10
11
11
01
01
11
00
00
01
10
11
01
00
10
11
00
10
00
00
00
01
11
10
01
00
10
10
11
01
01
01
11
00
00
10
10
01
00
00
10
10
00
11
00
11
10
00
00
00
10
10
01
00
10
10
01
10
11
01
01
11
10
01
00
01
11
00
00
11
00
00
00
10
10
01
10
01
00
10
10
00
10
10
10
01
10
11
00
10
11
00
00
01
01
10
01
10
00
00
10
00
01
00
10
01
00
00
11
10
10
11
00
01
00
10
10
00
00
00
10
10
11
10
10
11
00
11
11
01
00
10
01
00
11
11
01
00
00
00
10
10
10
00
00
10
11
11
11
00
01
11
10
00
11
11
00
10
01
00
00
00
01
11
10
10
10
00
00
10
00
00
10
11
01
00
10
11
10
10
00
10
00
00
10
10
00
10
00
00
10
00
01
10
01
00
00
01
10
00
10
10
00
10
00
11
11
00
10
11
01
10
10
10
11
11
11
01
00
00
10
00
10
10
01
00
11
01
01
01
01
10
10
10
10
11
00
00
00
01
10
10
10
11
10
01
10
00
11
10
11
11
01
00
11
10
00
00
10
11
10
11
00
00
11
01
10
01
11
10
00
01
11
01
01
00
01
10
10
10
00
00
00
01
10
00
00
00
00
11
00
00
11
10
10
11
11
01
01
01
00
11
00
00
00
11
10
10
10
00
00
00
01
10
10
00
01
10
11
10
10
01
10
00
00
10
10
10
01
00
00
00
11
11
01
10
11
10
10
01
11
11
00
00
10
01
01
00
11
11
11
01
00
00
10
11
01
10
11
00
10
00
10
01
01
00
11
00
00
10
00
10
10
10
00
00
00
00
11
01
10
10
10
10
10
00
10
10
10
11
00
01
10
10
00
01
00
10
10
00
00
00
11
00
01
00
00
10
10
00
11
10
11
00
11
00
10
00
11
01
10
01
00
00
00
00
11
10
11
00
01
10
00
01
10
11
00
11
01
00
11
00
00
10
00
00
11
01
00
00
10
10
00
00
11
11
00
10
11
00
10
10
10
00
00
11
11
11
10
10
00
00
11
01
00
10
10
00
00
10
00
00
11
01
10
01
00
01
10
10
00
00
10
10
10
00
00
10
01
10
00
11
01
00
10
10
01
01
11
10
00
01
10
10
01
01
11
10
10
10
10
01
00
10
10
00
00
11
00
01
00
10
11
11
00
01
00
01
10
00
01
10
00
00
10
10
01
10
00
01
00
11
10
00
10
00
11
10
11
00
00
00
00
11
10
00
01
00
10
10
00
11
00
10
11
10
00
01
10
01
00
10
01
10
00
01
10
10
00
00
10
10
10
00
00
10
10
00
01
11
01
00
11
11
00
00
00
00
00
10
10
10
00
01
10
00
00
10
00
10
01
00
11
11
10
01
10
10
10
10
00
10
11
00
11
10
00
01
11
10
00
00
11
00
10
10
10
00
00
00
11
10
00
10
00
00
00
10
01
01
01
00
11
11
00
10
11
00
00
10
00
10
00
01
00
01
10
10
00
11
10
00
10
10
11
01
01
00
10
10
01
01
00
10
10
00
01
00
11
00
10
10
00
00
11
01
01
10
11
10
00
10
01
00
10
01
00
10
00
11
10
11
00
00
00
00
00
00
10
11
01
11
00
00
11
10
10
01
10
01
00
01
00
01
10
10
01
00
10
11
10
00
01
10
11
00
11
00
10
10
00
00
10
01
10
00
10
00
10
00
01
10
01
00
11
00
00
10
11
10
00
00
00
01
00
10
10
01
00
00
00
00
10
00
10
10
10
01
00
10
10
01
00
01
11
00
10
10
00
00
01
11
00
01
10
11
00
01
11
11
01
00
11
10
11
11
11
00
01
00
10
00
01
10
10
10
01
10
00
01
00
00
00
00
10
01
01
11
01
00
00
10
10
01
10
11
00
11
00
00
00
00
10
00
10
11
00
00
11
10
01
10
10
01
11
00
11
10
10
10
01
00
11
10
00
11
00
00
00
00
00
00
10
10
10
01
01
10
00
10
00
01
11
10
00
10
11
01
10
00
10
00
00
01
10
00
10
10
00
00
00
00
00
01
10
00
00
10
11
10
11
00
10
00
00
10
00
11
11
01
01
00
01
10
00
10
10
01
00
00
10
00
01
11
00
01
00
11
11
00
10
10
01
00
00
10
10
00
10
01
00
01
00
00
10
01
10
10
10
00
10
11
00
01
11
11
01
00
10
10
11
00
11
10
00
01
00
00
01
11
11
01
10
00
10
10
00
10
01
10
10
10
11
10
10
11
01
01
00
10
00
11
10
00
11
10
00
10
11
10
00
00
00
10
10
00
00
10
10
01
00
10
10
00
00
00
10
10
10
10
11
00
00
01
00
00
00
11
01
00
10
10
00
10
01
00
00
11
00
11
11
10
11
01
00
00
10
10
00
01
10
00
01
00
10
10
10
01
00
10
01
10
11
00
00
10
10
00
10
10
01
00
00
10
00
01
10
01
00
00
10
10
00
00
10
10
00
11
01
10
10
11
00
00
00
10
01
10
11
00
11
00
01
00
00
00
10
10
00
11
11
00
00
10
00
10
11
10
11
01
10
11
00
11
00
00
10
11
00
00
10
10
11
10
10
10
10
01
10
10
00
00
01
00
01
10
01
10
01
11
11
00
01
10
00
00
11
10
11
00
11
00
00
11
00
10
10
11
00
00
10
00
00
00
10
01
01
01
00
10
10
11
00
11
10
10
00
10
00
01
00
00
10
10
00
11
10
00
11
00
00
10
01
00
01
10
11
01
00
00
10
01
00
01
10
01
11
10
00
00
00
00
11
00
10
01
00
00
00
01
11
10
10
00
01
10
10
11
00
10
10
11
11
00
10
01
00
00
00
10
01
01
11
11
00
10
00
11
00
10
10
00
00
11
11
01
10
01
11
11
00
00
10
10
00
00
01
10
10
00
11
00
01
10
10
10
00
10
10
11
00
00
00
01
00
00
10
00
10
10
01
01
01
10
10
11
10
10
00
00
01
11
11
01
11
11
01
00
11
10
01
00
00
01
11
11
10
10
01
01
00
10
10
00
10
00
00
10
00
10
10
11
10
01
00
10
10
10
10
01
01
01
01
10
11
10
01
01
11
10
01
01
10
10
01
10
00
01
10
00
10
10
01
00
11
11
00
10
00
11
00
00
00
10
11
00
10
11
10
10
11
00
10
00
00
10
00
00
10
11
10
10
01
01
00
11
11
11
10
10
00
10
11
01
01
10
01
01
01
01
10
00
00
10
10
00
00
10
00
00
10
10
11
10
10
00
00
01
00
10
01
10
11
00
01
11
01
00
10
11
01
00
10
00
00
10
00
00
10
11
10
00
00
00
10
00
00
10
10
00
11
00
00
00
00
10
10
00
10
10
00
11
10
01
10
11
01
01
01
01
11
11
10
00
10
10
10
11
00
01
11
10
10
10
10
00
00
10
10
10
10
00
11
10
00
00
10
00
00
00
00
11
11
11
11
10
10
10
11
00
00
11
10
00
00
10
00
11
00
11
10
10
10
00
10
11
00
01
01
00
10
10
00
10
11
00
10
00
11
10
10
00
11
10
00
00
11
01
10
01
10
10
00
10
01
10
10
01
00
00
01
00
11
10
00
01
10
10
00
10
00
11
01
10
10
00
11
00
00
01
00
00
10
10
00
00
00
11
10
01
01
11
00
10
11
10
00
00
11
11
10
10
10
10
00
11
10
10
00
01
10
01
01
00
11
00
10
10
10
00
11
11
01
00
01
11
10
00
10
10
11
00
00
00
10
10
10
11
11
10
01
10
00
10
10
00
00
00
10
00
00
11
10
00
10
11
01
10
10
00
11
01
11
10
01
11
00
10
00
00
11
11
01
00
10
00
01
00
11
10
01
00
00
01
10
00
00
01
10
00
01
10
01
01
10
01
11
11
10
10
00
00
01
10
00
00
10
10
00
10
10
01
10
01
10
11
00
01
00
01
00
10
10
01
00
01
10
10
10
10
11
01
10
10
10
01
01
10
00
00
11
10
10
00
11
10
10
10
01
00
01
00
00
10
01
01
10
10
01
00
01
10
10
11
10
00
01
00
10
00
00
01
11
01
01
00
10
10
11
00
11
00
01
10
10
00
01
10
10
11
00
10
01
01
10
10
10
00
11
10
01
11
10
01
10
10
01
01
10
10
00
11
00
00
01
01
10
10
10
00
10
00
11
01
01
01
10
11
00
10
10
00
11
11
11
11
00
01
00
10
10
00
00
10
10
00
01
11
11
11
01
01
00
00
01
10
00
00
10
10
11
00
11
00
00
00
11
10
00
00
11
11
01
00
10
11
01
10
00
10
01
01
10
10
10
00
11
10
00
11
10
11
01
11
11
00
11
00
10
10
01
00
10
00
01
00
00
00
10
10
00
01
00
10
00
01
10
10
10
01
00
10
10
10
10
10
00
00
00
11
01
10
10
10
11
10
10
10
10
11
11
00
00
10
11
00
00
01
10
10
01
01
11
00
00
10
10
01
01
00
11
00
00
00
00
10
01
11
10
11
00
10
11
01
00
00
11
00
00
11
00
00
00
11
10
01
00
10
11
00
10
10
10
00
00
00
00
10
00
11
11
10
10
00
10
00
10
11
00
00
10
11
01
10
10
01
10
10
10
01
10
10
00
01
00
10
10
10
00
01
01
10
11
00
01
10
11
01
00
10
10
10
00
00
00
10
00
10
10
00
10
10
00
00
10
00
11
00
10
01
10
01
10
10
00
10
10
00
00
10
10
00
01
01
01
10
01
10
11
10
00
11
10
00
00
00
10
10
10
00
00
10
10
10
10
00
10
10
00
10
10
11
10
10
11
10
01
00
00
10
10
11
10
10
00
01
01
00
11
10
11
00
11
10
11
00
00
11
10
10
00
10
10
11
00
11
10
00
00
01
10
10
10
00
11
11
10
10
00
00
11
00
00
11
11
10
01
00
10
10
10
10
00
10
11
10
10
00
10
11
00
01
11
10
00
10
11
00
10
11
01
10
11
11
10
00
10
11
01
00
11
10
11
01
00
01
00
10
01
10
11
10
01
10
10
01
01
00
11
00
01
10
10
10
00
00
11
10
00
00
10
00
01
00
01
00
11
01
00
10
10
00
00
11
00
01
10
01
10
10
10
10
00
00
10
10
01
00
10
00
10
10
10
01
00
11
01
00
00
10
01
10
11
11
11
11
01
10
00
00
01
01
10
00
10
00
00
00
10
10
01
01
01
00
00
01
01
11
10
01
01
10
10
00
10
11
00
00
10
00
00
11
01
10
00
00
01
00
00
11
11
01
00
00
00
01
11
10
10
01
00
00
00
10
10
11
10
00
10
10
00
00
00
11
00
10
11
00
00
10
00
00
10
00
11
10
01
00
10
01
11
00
00
00
10
00
00
11
01
10
00
00
00
00
00
10
10
01
01
01
00
00
00
11
00
10
11
01
01
11
00
01
10
00
00
10
10
00
00
10
10
11
10
00
01
00
00
10
00
10
00
00
10
01
00
01
00
00
10
00
00
10
11
11
10
00
00
01
10
01
10
10
01
10
00
10
10
00
10
01
01
10
10
11
11
11
10
01
11
01
00
10
10
00
10
10
00
10
10
01
11
00
10
10
10
11
00
00
00
11
01
00
11
11
00
00
10
00
11
00
11
10
01
00
10
10
00
10
11
00
00
10
00
10
01
10
00
00
01
10
00
00
10
00
10
01
01
00
11
11
11
10
01
00
10
10
00
00
10
10
10
00
00
11
00
11
01
00
11
10
01
00
10
11
10
00
10
11
01
00
00
00
00
00
10
00
00
11
11
00
10
00
10
00
00
11
01
00
01
00
00
01
11
11
10
10
00
10
11
10
10
01
00
01
01
10
00
11
00
10
10
10
01
10
00
00
10
10
00
10
11
10
01
00
10
01
10
11
00
00
10
00
11
01
01
10
10
00
10
00
01
00
10
00
00
01
11
10
00
01
00
10
10
10
10
00
00
11
00
10
10
00
10
11
10
10
00
01
10
11
11
00
00
11
00
10
10
01
01
00
00
10
01
10
11
11
00
11
10
00
00
01
10
01
00
10
01
00
00
00
11
00
10
10
11
00
11
00
00
00
01
01
10
00
00
10
10
10
00
00
00
01
00
10
10
00
01
01
01
10
01
10
00
11
11
01
01
00
11
00
01
10
11
00
10
11
00
10
11
00
01
10
10
10
01
01
11
00
01
10
11
01
11
10
01
00
11
00
01
00
10
11
00
00
10
00
00
00
10
11
01
00
00
10
00
01
00
00
10
10
11
00
10
10
01
00
00
10
10
10
11
00
00
00
10
10
01
10
10
00
11
01
10
11
01
10
00
01
11
11
10
01
00
10
01
00
10
11
00
01
10
10
00
10
10
00
00
10
00
01
11
11
00
11
00
00
01
10
11
00
01
11
10
10
10
00
01
00
00
10
00
01
10
01
11
00
10
11
00
00
11
10
01
01
01
10
10
00
00
00
10
11
10
10
10
11
01
01
10
01
01
10
10
10
00
01
00
10
11
10
00
00
00
01
11
11
11
00
11
00
00
01
10
10
10
11
00
01
10
00
11
10
00
10
10
10
00
11
10
01
00
10
01
10
00
00
00
10
01
00
10
01
10
11
01
10
11
10
01
00
00
00
10
10
01
10
00
00
10
01
00
00
10
10
00
10
10
00
00
00
01
10
10
01
10
11
00
10
00
00
00
00
11
00
11
11
11
00
00
11
10
00
10
00
00
11
11
01
00
10
01
00
01
10
11
00
00
00
10
10
00
01
00
10
10
11
10
00
00
00
11
11
00
00
11
10
01
00
10
11
01
00
00
11
11
00
11
10
00
00
10
10
10
01
11
11
10
10
10
00
00
10
10
00
10
10
00
00
10
00
00
00
11
10
11
00
01
10
11
00
01
11
10
10
00
00
10
00
01
00
00
00
00
10
11
10
11
10
00
10
10
10
00
10
01
00
00
11
11
01
11
00
01
00
10
10
00
00
00
00
10
11
00
00
00
11
01
10
01
00
01
01
11
00
10
11
00
00
01
00
10
01
11
10
11
00
11
10
10
00
11
10
10
10
00
00
10
11
10
01
00
00
11
10
11
01
01
10
10
10
01
01
10
10
00
01
00
00
10
00
01
00
01
10
00
00
10
00
10
10
01
00
01
11
10
00
10
00
00
00
00
10
10
00
00
10
11
01
00
11
00
00
10
10
01
01
01
10
10
11
00
00
00
00
10
11
00
01
00
10
10
11
01
11
11
00
00
00
10
10
10
01
00
10
11
01
01
01
00
01
10
10
10
10
01
10
01
00
01
10
00
11
00
11
10
00
00
11
00
00
11
10
11
11
10
00
01
00
00
10
10
11
00
11
00
00
11
10
10
01
10
00
11
01
00
11
10
00
11
01
10
11
10
01
10
10
10
10
10
00
10
11
00
00
10
10
00
00
00
01
10
00
01
11
00
10
10
10
01
01
00
01
10
10
10
10
10
00
10
11
00
11
00
10
11
00
10
01
10
01
10
11
00
01
10
11
01
01
01
00
00
10
10
01
01
10
10
10
01
01
10
00
00
10
00
10
11
01
00
01
01
01
11
01
00
00
10
10
01
10
10
00
00
00
00
00
11
10
10
00
01
01
01
01
01
11
10
10
10
01
01
10
10
00
00
00
00
00
11
00
01
10
00
01
00
01
11
00
00
00
11
10
10
00
10
10
10
00
00
00
11
10
11
10
01
10
10
10
00
01
11
01
11
01
10
11
01
11
10
00
00
10
00
01
10
10
11
10
00
10
10
00
00
00
10
01
00
00
10
10
01
10
01
01
00
10
11
11
11
10
01
00
10
01
00
10
11
00
01
11
01
00
11
11
10
11
01
11
10
00
00
01
00
10
00
00
11
10
10
00
00
10
10
10
10
00
01
00
01
00
10
00
00
10
01
10
10
11
00
11
00
01
10
01
11
00
10
11
10
00
10
11
00
01
10
10
01
01
10
11
00
00
00
01
10
10
00
00
11
00
10
11
10
10
00
00
00
01
10
00
00
10
10
00
00
00
10
10
01
10
10
10
10
10
01
00
10
10
01
01
00
11
10
00
00
11
10
01
00
10
00
11
00
10
00
00
10
10
10
01
01
00
10
10
01
10
00
00
00
10
10
11
00
10
11
00
10
10
00
01
01
10
11
00
11
11
10
10
01
10
11
00
00
11
00
00
10
11
00
01
10
01
00
10
10
10
01
00
00
11
00
00
01
01
10
01
11
00
01
00
00
10
00
00
10
00
10
11
00
01
10
00
00
11
10
11
01
00
11
11
10
01
10
01
00
01
10
10
10
00
00
10
10
01
00
00
00
01
00
11
01
00
11
11
00
00
00
11
11
10
01
10
10
01
00
10
11
10
10
00
10
00
11
10
10
10
10
01
00
00
01
00
11
00
00
10
01
00
10
01
10
10
01
10
10
01
01
00
01
00
10
00
10
00
10
11
01
01
01
00
01
11
10
01
10
10
00
01
01
00
10
10
11
01
10
01
10
11
10
01
00
10
00
00
10
10
10
01
00
10
01
10
10
10
10
01
10
00
00
10
10
00
10
00
00
10
00
00
11
10
01
10
10
11
00
00
00
00
11
01
00
10
00
00
11
00
01
10
10
01
00
01
10
00
00
10
11
01
00
11
01
00
10
10
01
11
00
00
11
11
00
00
11
00
10
00
11
10
01
00
00
10
01
01
10
10
10
10
10
10
11
00
01
10
10
00
10
00
11
01
01
00
10
11
01
11
11
11
01
01
11
00
00
00
11
11
00
00
10
11
00
00
00
00
11
10
00
00
10
10
10
11
00
00
11
11
01
00
00
10
10
10
10
00
00
10
11
00
10
10
00
11
10
10
01
10
10
00
10
10
10
00
00
11
10
00
00
10
10
00
01
11
01
00
01
00
10
00
00
00
11
11
00
11
11
11
01
10
10
10
00
11
00
11
10
01
00
01
10
10
10
01
10
10
11
00
11
11
01
11
10
01
00
00
11
01
00
00
10
10
01
10
01
10
10
01
01
01
00
00
11
01
10
10
11
01
01
00
11
10
10
10
00
00
11
01
00
01
10
00
00
00
10
10
00
10
00
01
01
11
10
11
00
10
00
01
11
10
10
10
11
00
11
00
00
10
10
10
01
01
11
01
11
00
10
10
00
00
10
10
11
10
10
11
10
11
10
11
10
00
00
10
10
00
01
00
10
11
00
10
11
10
10
00
00
01
00
00
11
10
00
10
11
10
01
00
10
01
00
01
10
10
00
10
10
10
00
01
01
00
01
10
10
11
00
00
10
10
01
11
11
10
00
10
00
01
11
00
01
01
00
10
01
10
10
00
01
10
01
11
10
00
01
00
01
10
10
00
01
01
10
11
00
01
10
11
11
01
01
10
11
00
11
10
01
10
11
00
01
10
10
00
01
00
11
10
00
00
10
00
10
10
00
00
00
10
01
10
10
00
01
00
10
11
01
00
10
00
11
10
00
00
11
00
01
01
10
01
01
00
10
00
00
01
01
10
11
01
11
11
11
00
10
10
00
10
10
00
00
11
10
00
11
10
11
11
01
01
01
00
10
10
00
00
00
10
00
10
11
11
00
10
01
01
00
10
10
00
00
00
01
11
10
01
11
00
00
00
10
10
00
01
10
10
01
11
00
01
10
10
01
00
10
10
00
01
01
10
11
11
11
00
10
00
11
00
00
10
10
01
10
10
11
00
11
10
11
01
00
10
10
00
00
00
00
11
00
00
00
10
00
10
10
00
11
00
01
10
00
00
10
10
11
00
00
00
11
11
01
00
11
00
00
10
10
01
01
11
11
11
01
10
00
00
11
10
00
00
11
00
00
10
10
00
11
10
01
00
11
10
00
01
10
10
01
00
10
00
00
00
11
00
01
01
00
10
00
10
11
00
00
01
11
01
00
01
11
00
00
10
01
00
10
00
10
10
00
00
00
00
11
01
10
10
00
10
00
10
01
11
10
01
01
01
10
00
00
11
01
00
11
01
10
10
10
10
00
10
01
10
10
11
10
00
10
00
00
01
10
10
00
10
10
01
11
11
10
01
10
00
00
10
11
01
00
01
00
10
11
10
10
00
11
10
10
00
00
01
00
10
10
01
00
10
00
00
10
00
10
11
10
00
11
01
10
10
00
10
10
11
00
00
10
11
00
10
00
11
10
00
01
00
01
01
01
11
00
00
11
11
00
00
10
11
00
01
00
00
10
10
10
11
10
01
10
10
00
00
10
00
10
10
00
11
10
00
10
00
00
11
00
01
11
10
00
10
01
00
00
10
10
00
01
11
01
10
01
10
11
00
00
10
10
10
00
11
11
11
10
01
10
01
10
01
00
11
10
01
10
10
10
00
00
00
10
11
00
10
00
10
01
10
00
10
01
10
10
00
00
00
00
00
11
10
10
10
01
00
10
00
10
10
11
00
00
10
00
11
10
00
00
10
10
11
10
01
00
00
10
10
10
10
10
00
10
10
11
10
11
10
00
11
10
10
10
10
00
00
10
00
00
00
11
11
11
01
00
00
11
00
10
00
01
10
00
10
10
01
10
10
11
00
10
01
11
10
10
00
01
00
00
00
10
10
10
10
00
01
10
10
10
10
00
01
11
11
11
01
10
00
00
10
00
01
11
00
10
10
10
00
00
00
01
11
11
10
10
10
10
01
00
11
10
01
01
00
11
00
10
10
11
00
01
10
00
00
00
00
00
11
10
00
00
10
00
00
11
10
11
00
11
00
00
00
00
01
10
00
00
01
10
11
10
00
10
00
01
00
10
10
11
10
10
10
00
10
11
10
00
10
00
00
00
10
10
00
10
10
10
00
10
01
01
01
10
00
10
10
10
00
00
10
01
01
00
00
00
00
11
10
00
00
00
10
10
00
10
00
10
00
10
10
00
10
10
00
01
01
01
11
10
00
00
11
10
00
01
10
00
00
10
11
00
11
11
00
00
01
11
00
01
00
10
11
01
11
10
10
00
01
11
11
10
01
00
00
10
11
01
11
00
10
11
00
01
01
11
11
00
01
11
10
01
00
10
10
00
00
11
11
01
10
00
11
11
01
11
11
00
11
10
00
10
10
00
00
11
10
11
00
10
10
10
00
00
11
11
01
01
10
11
00
10
10
00
00
10
10
01
10
00
11
10
00
01
10
00
10
10
00
10
10
10
11
10
10
10
01
10
10
00
11
00
11
10
10
01
10
00
00
10
11
00
10
11
10
00
11
00
10
10
00
01
10
10
01
00
11
11
00
10
10
10
01
00
11
01
01
01
10
01
00
00
10
10
10
11
10
01
10
11
00
01
01
11
00
00
00
00
11
10
11
10
00
01
00
10
10
00
01
11
10
00
00
10
10
01
11
00
01
01
10
10
00
10
10
11
00
00
00
01
01
11
10
11
00
00
00
10
00
01
10
10
11
00
00
00
11
11
01
10
00
00
10
10
00
11
01
01
10
00
00
00
00
00
00
11
00
01
10
01
10
00
10
10
00
00
01
10
11
00
10
01
01
00
10
00
00
10
10
01
00
00
01
10
01
00
10
01
10
11
00
00
11
00
10
00
01
10
00
00
00
00
10
10
10
10
00
10
00
00
10
00
00
10
01
00
00
00
00
00
00
00
10
10
00
01
11
00
00
01
10
10
00
00
11
10
10
11
11
01
00
00
11
01
10
01
10
01
11
10
00
01
00
10
01
10
01
00
01
00
10
00
00
11
01
00
10
01
01
00
01
10
01
10
01
01
10
10
11
00
00
10
10
00
11
10
01
01
10
11
11
11
01
00
10
00
01
10
10
00
00
00
00
00
10
10
10
10
01
11
00
11
11
00
10
00
00
01
01
11
10
00
00
00
00
11
10
01
00
11
00
10
11
00
01
10
10
00
01
00
00
01
10
00
10
01
00
10
11
11
11
00
01
00
00
10
11
11
00
10
00
10
11
10
00
01
00
10
01
00
10
01
00
11
10
01
01
11
10
11
10
01
10
00
10
10
01
01
11
00
10
11
10
00
00
10
10
11
00
11
00
10
00
00
01
11
11
00
01
01
10
00
00
10
10
01
01
10
01
00
00
10
10
00
10
11
11
10
10
10
00
01
10
10
01
10
10
11
11
01
11
00
11
10
10
00
00
00
00
11
10
10
10
10
00
00
10
00
10
10
00
00
10
01
11
10
10
11
00
01
00
11
11
01
00
00
11
00
10
01
00
10
10
00
11
10
00
11
10
11
10
10
11
10
01
00
10
10
10
00
11
10
00
00
10
10
00
11
10
00
10
10
00
01
10
01
00
01
11
00
10
10
11
00
10
11
10
10
00
00
00
00
10
01
01
11
10
00
00
10
00
10
10
00
01
11
11
10
10
00
11
10
00
01
11
00
01
00
00
10
00
11
00
11
11
10
01
00
00
01
10
11
10
00
01
10
10
00
10
10
01
10
00
11
00
00
10
01
10
01
00
00
10
00
10
01
10
10
00
00
11
11
00
10
01
00
11
00
11
10
00
00
10
00
00
11
10
11
00
10
00
01
10
00
00
10
00
10
01
00
00
00
00
11
00
00
11
11
01
10
11
11
01
01
00
01
00
00
10
10
00
11
11
10
00
00
00
00
01
10
00
10
11
10
01
00
10
10
00
10
00
10
10
00
00
11
00
10
10
11
00
10
10
10
01
11
00
11
10
11
10
00
00
01
11
11
00
00
10
10
01
10
01
00
00
10
10
11
00
11
10
00
10
00
00
10
10
01
00
10
11
00
00
10
10
11
00
00
11
00
01
01
00
01
01
10
11
00
00
11
00
00
01
01
10
11
10
01
00
11
11
10
00
00
00
00
00
10
11
11
00
10
00
10
00
01
11
00
00
00
00
00
00
00
11
11
10
00
00
10
11
10
00
00
10
10
00
01
10
10
10
10
01
00
10
10
11
11
10
10
00
01
11
00
01
10
01
00
00
11
00
10
01
00
11
11
10
01
00
01
10
10
00
00
00
11
10
00
00
11
00
01
10
10
10
01
00
00
01
11
11
11
10
00
00
00
10
01
00
10
00
00
11
10
00
01
10
11
01
00
00
10
11
01
10
00
11
11
01
10
10
11
00
00
01
01
10
11
10
01
10
11
01
10
11
00
10
10
11
00
01
00
10
01
10
01
00
10
11
01
00
11
01
00
10
10
01
01
00
11
10
10
01
00
01
00
10
00
00
10
01
00
11
00
01
01
00
00
10
10
01
00
11
10
01
00
00
00
00
10
11
01
00
10
10
00
00
10
10
01
10
00
10
01
01
01
01
10
11
10
10
10
11
01
00
10
11
10
00
00
10
01
10
10
00
00
00
11
11
01
10
11
00
10
10
00
01
11
11
00
00
10
00
10
10
00
00
11
10
00
10
00
01
01
11
01
11
10
00
00
10
10
01
10
00
00
00
00
10
10
01
01
00
00
10
11
00
11
00
10
10
00
01
10
00
11
00
01
11
00
00
00
10
10
10
10
01
10
10
00
00
11
11
10
01
01
00
00
10
10
10
01
00
00
11
11
10
00
10
10
10
01
10
10
01
01
11
01
00
11
11
00
11
00
00
11
00
00
10
11
00
10
10
11
00
10
10
01
00
00
10
10
00
11
00
00
10
00
10
10
01
10
10
01
10
10
10
00
11
11
01
11
10
11
00
00
10
10
00
01
10
10
00
10
11
10
10
10
10
00
10
11
00
01
10
10
00
00
10
10
01
00
10
00
10
10
10
10
01
11
00
00
10
01
10
10
00
00
11
11
00
10
10
10
01
00
01
11
10
10
00
00
11
10
00
00
00
10
11
10
00
10
10
01
00
10
11
11
11
10
10
01
10
10
01
01
00
10
00
10
00
01
10
10
00
01
00
00
11
10
11
10
00
01
10
00
10
11
00
11
11
10
11
00
10
10
10
00
00
01
11
00
00
10
10
10
01
00
11
00
10
11
00
01
00
10
10
00
01
00
01
10
10
11
11
10
01
00
11
01
01
11
00
10
11
00
11
00
00
10
00
01
10
11
01
01
11
10
00
10
10
00
10
01
10
11
11
00
10
00
10
10
00
01
10
00
00
10
10
10
10
10
00
11
00
00
10
10
01
00
10
01
01
11
00
10
00
10
00
01
10
11
00
00
00
00
01
10
11
10
10
01
00
01
01
00
10
10
10
01
10
00
00
10
01
00
10
10
10
10
01
01
00
10
00
00
01
10
10
00
00
10
10
00
00
10
11
11
01
01
01
00
01
00
01
11
10
01
10
00
01
10
11
01
00
10
00
10
10
00
00
10
10
10
00
00
10
10
10
10
00
00
10
10
11
00
01
00
00
10
10
00
00
10
10
10
00
00
10
00
00
00
11
00
00
10
00
00
11
01
10
11
00
10
10
01
11
01
01
10
10
10
11
00
01
10
10
00
01
10
01
01
11
10
01
00
11
11
00
00
10
01
00
11
10
00
11
10
01
00
10
11
11
00
10
01
10
00
11
11
01
11
10
00
00
10
01
10
10
01
01
10
10
00
00
10
11
10
01
01
01
10
01
10
10
01
00
11
01
00
00
00
00
10
10
01
01
11
00
10
11
00
11
00
11
10
10
00
00
00
00
10
10
00
11
10
10
11
10
11
10
00
00
01
11
11
01
11
00
00
10
00
10
11
00
01
10
10
00
10
10
10
10
11
01
10
00
10
10
00
01
00
11
10
00
11
10
00
01
00
10
01
00
00
00
00
11
00
01
10
01
11
10
11
00
00
00
11
01
01
10
11
10
00
00
00
10
10
01
01
10
01
11
11
10
00
00
10
01
10
10
00
01
11
10
00
00
10
10
01
10
00
10
10
10
00
01
10
00
00
11
01
00
01
11
10
01
11
11
00
00
00
10
00
00
11
10
01
00
11
10
00
01
10
01
00
00
10
10
10
01
00
10
00
11
00
00
00
00
00
00
01
10
10
01
00
00
00
00
10
01
11
10
00
01
11
01
01
10
11
01
00
00
10
10
00
00
00
01
10
00
11
01
01
01
00
10
11
01
10
10
00
00
10
01
01
10
01
00
00
11
10
10
01
10
10
10
11
01
01
10
10
00
10
01
00
10
00
00
00
11
00
10
00
00
11
01
00
00
10
10
00
10
11
10
10
00
00
10
10
00
00
10
10
00
11
00
01
11
00
01
10
00
10
10
00
00
01
11
11
00
00
11
00
10
01
10
10
00
11
00
01
10
11
01
00
00
10
00
00
00
10
10
10
00
00
00
10
00
10
10
00
00
01
10
10
10
00
10
10
11
10
00
00
00
00
00
10
10
00
11
11
00
00
01
10
00
01
10
01
10
10
00
10
00
00
11
10
11
00
01
01
01
11
11
00
00
00
00
10
10
00
00
11
10
00
00
00
01
00
01
11
01
00
01
01
00
10
10
00
01
10
10
00
01
00
00
00
10
00
10
00
01
10
10
11
11
11
01
10
00
11
00
10
10
10
10
00
01
10
00
01
10
11
01
10
01
10
11
10
00
00
10
10
01
00
11
00
11
00
00
10
00
10
00
00
10
00
00
01
10
10
01
01
00
00
00
10
11
00
11
10
01
00
10
10
11
01
01
00
11
11
00
00
11
01
00
00
11
01
00
01
00
10
00
11
10
00
10
10
10
01
10
00
10
00
10
11
00
11
00
10
11
00
10
00
01
10
10
00
00
10
10
01
10
00
01
00
01
10
00
10
11
00
10
10
11
10
00
10
10
01
00
00
10
01
01
10
00
00
10
11
10
00
00
11
11
11
10
10
10
00
10
00
10
10
11
00
00
11
11
10
01
11
00
00
10
10
11
00
00
11
11
01
11
10
10
00
11
10
01
00
10
11
01
00
00
10
10
00
10
00
11
00
00
00
10
10
00
10
10
00
00
01
01
01
11
11
00
11
11
01
00
10
10
11
10
00
11
10
01
10
10
00
00
00
10
01
10
01
10
11
01
00
00
10
00
00
10
11
00
11
10
00
10
01
11
10
00
00
10
10
00
10
10
00
01
11
00
00
11
10
11
10
10
00
00
10
10
10
00
10
11
00
01
00
01
00
01
11
11
10
01
01
10
11
00
10
10
10
00
10
10
00
00
00
00
01
11
10
00
10
00
00
00
10
10
01
11
11
10
00
01
00
10
00
00
10
10
11
11
00
01
01
10
00
10
01
00
00
10
11
00
00
01
10
10
10
10
11
00
11
10
00
00
01
10
00
01
10
10
00
01
00
10
01
00
11
10
01
10
10
00
10
11
01
01
00
01
11
11
10
01
00
11
10
00
11
10
00
01
11
00
01
10
10
00
00
10
00
10
00
11
00
10
01
01
10
00
10
00
00
00
00
10
10
01
10
11
00
00
01
00
10
01
11
01
01
01
10
00
10
00
00
11
10
10
11
00
01
01
11
11
10
00
11
00
01
00
10
10
10
00
10
10
00
11
10
10
00
01
10
11
01
00
11
11
10
10
01
00
11
10
00
01
11
10
10
11
01
01
10
00
01
10
10
00
00
10
00
10
00
00
10
10
00
00
10
01
11
11
00
00
11
00
00
10
00
00
00
10
11
01
00
11
01
00
10
00
01
11
11
11
10
00
10
00
01
10
00
00
10
00
10
00
10
00
00
11
10
10
01
00
00
10
01
11
11
00
11
11
00
10
00
11
11
00
00
10
10
00
00
11
11
10
11
00
11
10
01
10
01
10
10
00
01
00
01
00
10
10
10
11
01
11
11
10
00
00
01
01
10
01
00
11
11
01
01
10
10
10
10
11
00
10
10
00
00
00
00
10
00
01
10
10
10
10
10
01
00
00
11
11
10
11
00
00
00
11
01
10
10
00
10
11
10
11
00
10
10
11
10
10
01
00
10
10
00
00
00
11
10
00
00
00
11
10
00
10
01
11
00
00
10
00
10
00
01
10
00
11
00
00
00
00
00
00
01
10
00
00
10
10
10
00
00
11
10
01
00
01
10
10
00
01
00
10
01
11
10
10
01
00
01
00
01
10
10
00
00
00
00
01
10
00
00
10
00
11
10
00
10
10
10
00
00
10
00
01
00
10
01
10
10
10
10
00
00
01
10
01
10
01
10
10
00
11
10
00
00
10
10
01
01
11
11
01
00
01
00
01
10
11
00
00
00
10
01
00
00
10
11
00
10
11
00
10
11
01
10
00
11
01
00
00
00
11
10
10
10
00
00
10
10
00
01
00
11
10
00
11
10
00
00
10
01
10
10
10
00
10
10
00
10
00
00
00
00
10
10
00
11
00
10
00
10
00
11
01
01
01
01
01
10
11
00
11
10
00
00
11
11
00
11
10
01
10
11
01
00
10
00
10
00
01
11
11
01
00
11
01
10
01
10
11
00
11
00
01
01
11
01
00
10
10
00
00
10
00
11
10
00
11
00
00
10
10
00
10
00
01
10
10
01
10
01
10
00
10
10
10
01
01
10
10
00
11
10
11
10
00
10
11
01
01
10
10
00
11
10
01
00
11
10
10
10
00
00
10
01
00
11
00
00
10
00
10
00
00
00
00
10
10
10
01
00
00
10
11
00
01
01
10
10
01
00
11
10
10
00
10
10
11
00
01
01
00
01
01
00
00
00
10
01
00
11
10
00
00
11
00
00
00
00
00
10
00
01
10
00
00
10
11
01
10
00
11
10
00
11
10
10
11
00
10
11
00
00
10
10
00
10
00
00
00
10
00
00
00
10
10
10
00
00
10
11
01
01
01
10
01
01
11
10
01
10
00
00
10
10
01
11
10
10
10
01
00
00
11
00
00
10
10
10
00
10
11
11
01
00
01
10
01
10
01
00
10
00
10
00
00
10
01
10
01
10
00
10
10
00
01
10
10
00
10
00
10
00
10
01
10
11
00
10
11
10
10
00
01
10
10
11
00
10
00
10
10
10
10
01
00
10
10
10
01
11
10
01
10
10
00
00
11
11
00
00
00
11
10
01
01
11
00
00
01
10
00
00
10
10
00
00
01
01
10
00
00
10
10
01
10
10
11
10
00
00
10
11
10
11
00
01
01
01
10
11
10
10
10
00
10
00
10
10
01
01
00
10
10
01
01
00
00
01
11
10
00
11
00
00
11
11
00
11
11
01
11
01
10
00
00
10
00
00
00
10
10
01
00
00
10
10
10
10
11
00
00
10
11
00
00
00
00
10
11
10
11
11
10
00
00
00
00
00
10
10
01
10
10
00
01
00
11
00
11
11
10
11
10
00
10
10
01
10
11
00
01
11
10
00
10
00
00
00
00
00
10
00
11
01
01
10
01
00
00
01
00
00
10
00
11
10
01
00
10
01
00
01
10
11
00
00
11
10
10
01
10
11
01
10
11
10
11
10
10
00
00
11
10
10
00
00
10
11
00
11
00
00
00
00
10
00
00
10
01
01
01
10
10
00
10
11
00
11
10
01
00
00
01
00
10
11
00
10
01
01
10
10
00
01
10
11
01
10
00
01
01
10
01
00
10
11
00
10
10
00
01
10
11
11
10
11
00
01
10
01
00
10
00
10
11
00
01
01
00
11
00
00
00
10
01
01
10
10
00
10
00
01
01
10
11
00
11
10
10
11
00
01
10
10
00
10
01
11
10
00
00
00
11
10
10
00
11
00
01
01
10
00
00
10
10
11
10
10
10
00
10
00
11
10
10
00
01
10
00
10
10
01
10
10
10
11
01
10
10
10
10
00
01
00
10
01
00
01
01
11
11
00
01
10
10
00
10
10
01
00
10
00
00
00
01
11
00
10
11
11
00
10
10
00
00
01
10
10
01
00
01
00
10
01
01
10
00
10
11
00
10
00
01
10
00
10
00
11
10
11
00
00
10
00
01
00
10
00
11
10
11
11
11
10
11
11
01
10
01
01
11
10
00
10
00
00
00
01
10
10
11
00
11
11
11
10
00
00
10
00
00
10
11
10
01
00
10
10
10
00
00
00
10
00
10
10
10
01
10
11
10
01
11
00
00
01
10
10
10
00
01
11
00
10
10
00
11
00
01
11
10
00
10
01
01
10
01
00
10
00
11
10
00
00
00
00
11
10
00
10
10
01
10
00
10
00
10
01
00
10
00
00
01
00
11
00
00
10
10
11
00
01
11
00
01
00
10
01
00
11
11
01
01
01
01
10
01
01
01
10
10
00
01
10
10
11
01
00
00
10
01
00
00
00
11
00
01
11
10
00
00
11
11
00
00
10
11
00
10
10
00
10
00
10
00
00
10
00
00
10
00
00
01
10
11
11
11
00
10
11
00
00
00
00
11
10
00
00
00
11
00
10
10
11
10
00
00
10
00
00
10
00
10
10
10
00
10
10
01
00
00
11
00
00
01
00
10
10
00
10
10
01
00
00
10
00
11
10
01
11
11
01
00
00
10
00
00
11
10
01
10
00
00
11
10
01
00
11
10
00
10
00
01
11
11
01
11
10
11
10
00
10
01
11
11
11
00
00
01
11
10
00
00
10
10
01
10
00
11
10
01
10
10
00
10
10
01
11
11
11
00
01
10
10
11
01
00
10
10
00
10
10
01
01
01
11
11
10
10
10
10
10
00
01
11
11
11
10
00
01
10
00
00
11
11
00
00
11
10
11
10
01
00
10
10
01
10
11
00
00
11
11
10
01
11
11
00
01
10
00
00
10
10
01
10
00
01
01
11
10
10
01
00
01
01
11
01
01
11
10
00
00
11
10
01
00
10
11
00
10
11
01
00
11
10
01
01
00
10
00
10
11
00
10
11
11
00
10
11
10
01
00
01
01
10
10
00
10
10
00
00
10
01
10
01
00
10
10
01
00
11
10
10
10
01
00
10
01
01
01
01
00
10
00
00
10
00
01
10
11
10
11
00
01
00
00
11
10
10
00
00
10
00
00
10
01
10
00
10
00
10
10
00
00
00
10
00
11
11
11
00
01
00
00
11
00
00
00
00
10
00
11
10
01
00
00
00
10
00
00
01
10
10
10
01
01
10
01
00
10
11
11
00
01
00
00
00
10
11
10
10
01
00
11
10
11
10
00
00
10
11
00
01
10
00
10
00
10
01
00
10
00
11
01
01
00
10
10
00
01
00
00
10
11
00
10
10
00
00
11
10
01
11
10
01
01
11
11
00
11
10
01
00
00
11
10
00
10
11
10
00
00
11
00
11
11
10
00
11
10
00
01
10
01
00
10
10
00
00
10
00
11
11
01
10
00
01
00
01
11
10
01
01
01
00
11
10
00
00
00
11
00
10
10
10
10
10
00
01
01
10
00
01
00
01
10
01
00
00
10
00
10
10
01
11
00
11
10
10
00
01
00
11
01
10
11
00
01
00
10
00
00
10
10
11
00
10
11
10
11
10
11
10
10
00
01
11
10
10
11
00
00
11
01
10
01
01
10
00
10
10
10
00
01
10
10
00
10
01
00
00
00
10
00
01
00
00
00
00
10
10
10
10
00
11
10
10
10
00
11
10
00
00
01
10
00
10
01
00
10
11
00
00
10
11
01
10
11
00
10
01
01
10
10
00
00
10
00
00
10
01
10
00
00
10
00
11
01
11
10
00
00
10
10
01
10
11
10
00
00
10
10
01
10
10
11
10
10
01
00
11
10
00
10
01
00
11
00
01
11
10
10
10
10
00
10
10
10
10
10
00
00
01
10
01
01
10
10
00
00
11
10
10
01
01
00
00
10
00
11
11
01
11
11
01
01
10
01
10
11
01
00
10
10
00
01
00
10
01
10
10
01
10
10
10
10
00
00
00
10
10
10
01
10
11
10
00
00
11
11
00
10
10
01
11
10
01
00
11
00
00
10
10
01
00
11
10
00
00
11
10
00
00
11
10
01
10
00
00
01
11
10
10
10
11
00
10
00
10
10
00
00
00
00
00
00
00
10
10
01
00
01
00
11
10
10
00
11
10
01
00
10
00
10
00
00
10
11
11
01
00
11
10
01
10
10
10
00
10
10
10
01
11
10
00
11
10
11
00
11
11
00
10
01
10
00
00
10
10
10
00
10
00
00
01
10
11
11
01
00
01
00
00
10
10
01
01
01
00
11
10
10
10
10
00
00
10
00
01
01
10
00
00
00
00
00
01
10
11
01
11
01
10
00
10
01
00
00
10
10
11
00
10
10
00
00
11
10
10
10
10
00
10
10
01
00
00
01
10
10
01
10
10
00
10
10
10
10
00
00
00
00
10
11
11
00
00
00
01
00
00
10
00
10
10
10
01
00
10
01
00
11
01
00
10
00
00
10
11
10
00
01
10
10
11
10
11
11
10
00
00
10
00
00
10
01
01
11
11
10
01
01
00
11
01
00
11
10
00
00
11
10
10
10
10
10
11
01
00
01
10
01
01
00
11
00
11
11
00
01
00
11
10
00
00
01
10
11
01
10
10
01
00
11
00
01
10
10
11
11
01
10
10
00
00
00
10
01
10
10
11
00
01
00
10
00
11
00
01
10
10
01
10
00
00
11
10
10
11
10
00
10
10
11
10
10
00
11
10
10
00
01
00
10
00
10
10
01
10
01
10
01
00
01
10
11
00
01
11
10
00
01
10
10
00
10
10
00
10
00
00
10
10
01
10
01
11
01
10
01
00
10
11
01
10
11
00
01
01
11
01
10
11
01
00
10
01
01
10
11
00
00
00
01
11
01
10
10
00
11
00
11
10
01
11
00
10
10
10
01
00
10
10
00
01
10
10
00
10
10
10
01
00
11
10
10
10
00
11
00
10
10
01
00
10
00
00
00
00
11
00
00
10
00
01
00
10
11
00
00
10
00
00
00
10
10
01
00
11
10
11
00
11
10
00
01
11
11
01
01
10
10
01
10
10
10
00
01
01
11
10
00
01
11
10
01
00
10
11
10
01
10
10
00
10
00
01
00
10
00
11
01
10
00
10
11
00
00
00
00
10
10
10
11
10
11
10
00
10
00
10
10
11
00
10
01
10
11
00
11
10
11
10
00
00
01
11
01
00
10
11
10
11
00
00
10
10
00
00
10
10
10
00
00
00
00
10
01
10
00
10
10
00
10
10
10
00
10
11
10
00
10
00
00
00
10
01
00
00
10
00
00
00
00
10
10
11
00
01
10
01
00
01
00
10
10
00
01
11
00
01
00
10
11
11
10
00
01
10
11
00
10
00
10
01
00
00
10
10
10
00
01
00
10
11
10
00
10
11
11
11
00
00
10
11
00
01
00
10
01
10
11
01
10
10
10
10
11
00
01
01
01
11
11
11
00
11
11
10
11
11
01
00
11
01
00
10
10
01
11
11
00
00
10
10
00
11
01
00
11
00
00
10
11
00
00
00
10
10
01
00
11
10
10
11
11
00
00
11
10
11
11
00
01
00
00
10
10
00
10
01
01
11
01
10
00
01
00
10
10
10
00
00
11
00
10
00
11
00
10
00
11
01
01
10
01
01
11
00
00
10
10
11
01
01
10
01
01
10
00
10
10
10
10
01
00
00
10
10
10
00
00
01
11
11
01
01
10
11
00
10
00
00
11
00
01
10
10
10
10
00
00
10
11
00
10
11
00
10
10
00
00
11
10
00
01
10
01
10
11
00
01
11
11
00
00
01
10
10
01
10
11
00
11
00
11
01
11
00
00
00
10
11
00
00
00
10
11
11
00
10
10
00
01
10
00
11
10
10
10
00
00
10
10
11
11
00
11
10
10
10
01
10
00
11
00
00
01
10
10
10
01
00
10
00
00
00
11
01
00
11
11
10
11
00
00
11
00
10
11
11
10
01
00
00
01
10
01
10
11
00
00
01
10
10
00
01
10
10
00
11
10
11
01
00
10
01
01
01
10
10
00
00
11
10
10
00
00
00
10
11
00
11
11
10
11
01
01
01
01
11
00
10
00
01
11
10
10
01
00
10
10
00
00
10
11
10
01
00
10
11
01
00
10
01
10
01
11
11
00
01
10
01
00
11
01
00
10
00
10
10
10
00
10
01
01
10
00
00
00
01
00
11
10
11
10
10
10
00
00
10
10
00
00
01
10
10
10
00
10
00
10
10
10
00
01
10
01
00
10
01
11
10
00
10
10
10
01
00
10
10
00
10
10
10
11
00
00
00
10
10
10
00
00
01
10
10
10
10
11
10
01
00
00
10
00
00
11
11
01
10
10
01
11
10
00
11
10
10
00
10
11
00
10
10
11
00
10
11
10
00
10
11
00
00
11
11
00
11
11
00
10
10
00
00
11
00
11
10
10
10
10
00
11
00
00
10
00
10
10
00
01
10
00
10
00
01
10
00
10
10
10
10
00
00
00
10
01
00
10
10
00
00
01
01
10
11
00
00
11
00
00
11
00
00
10
01
10
00
01
01
11
00
00
11
01
01
01
10
11
00
00
10
10
00
10
00
01
10
10
01
10
00
00
10
01
11
01
01
01
10
01
00
10
10
01
00
10
00
10
11
00
11
10
10
00
10
10
00
01
11
00
10
01
00
11
10
01
00
01
11
10
11
00
01
11
10
00
10
10
10
10
00
00
00
00
10
01
10
10
01
10
00
01
00
11
10
00
11
11
00
01
10
10
10
00
11
00
01
10
10
10
00
01
00
00
10
11
00
10
00
00
00
10
10
10
11
10
00
10
11
00
00
10
00
00
00
00
10
10
10
00
11
00
10
01
00
11
11
11
00
01
01
10
11
01
00
10
10
01
11
10
00
00
10
10
01
01
00
11
01
01
01
10
00
00
01
10
00
00
11
00
01
10
10
00
00
11
01
10
10
10
01
11
10
00
11
10
10
10
01
11
00
01
10
00
00
10
10
11
10
01
10
01
00
10
10
01
11
10
10
10
01
01
11
00
00
11
00
10
10
00
10
10
01
01
00
01
00
01
11
00
10
11
00
00
00
10
10
11
10
00
00
00
01
01
00
10
11
01
11
11
00
00
10
00
01
00
10
10
11
01
00
00
00
01
10
10
10
10
00
10
00
01
00
11
10
01
00
11
11
01
00
10
00
01
00
11
10
00
01
00
10
10
00
00
00
00
11
00
00
01
01
10
10
10
11
00
00
10
11
01
00
01
11
11
10
10
00
01
10
11
00
10
01
11
10
10
10
01
01
10
11
00
01
11
01
00
10
10
00
11
11
11
00
00
10
00
00
11
10
00
10
00
10
10
00
10
10
11
00
10
11
11
00
11
10
10
11
00
10
11
00
01
11
10
01
00
00
10
10
00
00
01
10
11
00
00
10
00
00
10
10
00
10
10
00
10
00
00
00
01
01
10
10
01
10
11
00
10
00
00
10
10
11
00
00
11
00
00
11
01
11
00
00
11
11
11
01
11
10
00
00
10
11
01
00
10
11
10
01
11
01
01
10
10
00
10
11
11
00
01
00
11
11
10
01
00
01
10
10
01
10
10
01
11
11
01
00
00
00
01
10
11
10
00
00
11
00
11
00
10
10
00
10
00
10
00
11
10
00
00
10
00
00
11
11
11
00
10
01
00
00
11
00
00
10
00
10
00
00
00
11
10
00
01
00
00
00
00
11
00
01
11
00
01
00
00
11
10
10
01
00
10
11
10
10
10
00
00
01
00
10
10
10
00
01
10
00
10
01
00
10
10
11
00
00
00
00
10
01
01
01
00
10
10
00
11
10
01
00
00
01
01
00
10
01
01
00
00
11
10
00
00
10
00
11
10
01
01
00
00
10
10
00
00
10
10
11
11
00
11
10
01
00
10
00
00
11
10
01
00
00
11
00
11
10
00
11
00
10
10
10
01
00
10
00
10
10
10
11
00
00
00
00
10
10
10
11
11
00
01
00
00
10
11
00
01
00
10
00
11
01
00
00
00
10
11
00
01
11
01
00
11
00
10
10
10
11
01
11
10
00
01
00
00
00
10
10
10
11
00
11
11
01
10
00
00
00
00
10
00
11
10
01
10
00
01
10
10
01
10
10
01
01
00
10
11
10
00
10
00
00
10
10
10
11
00
10
00
11
00
00
11
01
10
11
00
10
10
00
01
11
00
00
00
01
11
00
11
11
10
01
01
00
10
00
01
00
00
10
10
00
01
01
10
10
00
10
00
00
11
10
00
00
10
00
10
00
00
11
00
00
10
01
11
10
00
01
00
01
11
10
01
10
01
10
00
00
10
10
00
10
10
00
00
00
10
00
10
00
10
11
11
11
10
00
11
10
11
00
00
01
01
01
10
00
10
10
00
11
00
00
10
11
01
11
01
11
00
10
11
01
01
11
11
10
00
10
10
10
01
00
11
10
10
10
00
00
10
00
00
10
11
11
10
11
10
00
00
01
10
00
00
10
10
00
00
11
10
01
01
01
10
01
00
01
10
10
11
10
00
01
00
10
00
00
10
11
11
00
01
00
11
10
10
00
00
10
10
00
00
00
10
00
11
11
01
10
10
10
10
10
10
10
00
00
00
00
10
00
10
10
01
00
01
10
00
00
10
11
00
01
10
10
10
01
00
11
10
01
10
00
00
10
11
01
00
10
10
10
00
10
01
00
00
11
10
01
11
00
00
00
00
00
00
10
10
00
10
10
10
00
01
11
10
10
01
10
01
11
10
00
00
11
00
00
10
01
11
10
01
00
11
11
00
11
10
01
00
11
10
10
00
00
10
10
00
00
00
00
11
10
01
01
00
00
11
00
01
00
11
10
01
01
10
01
11
11
01
11
10
01
00
10
10
10
00
00
11
01
10
10
01
00
00
10
10
00
00
00
11
00
11
00
00
00
00
01
11
10
00
00
10
10
11
01
00
10
00
10
00
10
10
00
01
11
10
01
10
00
10
11
00
11
11
01
10
10
10
00
10
11
00
10
01
01
10
00
10
00
00
10
10
00
00
10
01
00
10
01
00
10
10
00
01
00
00
00
10
00
10
00
00
10
01
00
10
00
11
10
00
00
10
10
01
11
11
00
00
10
00
10
01
00
10
10
10
11
00
11
10
01
01
10
10
11
00
11
10
00
11
10
11
01
00
11
01
11
10
10
11
00
10
01
01
11
11
10
00
11
00
10
10
01
01
10
11
00
01
01
00
10
11
10
01
11
11
00
11
00
11
10
10
11
00
10
10
10
00
00
10
11
10
01
01
00
11
11
00
01
01
01
10
10
00
01
11
10
11
11
01
00
10
10
01
10
11
00
11
00
00
10
11
10
10
00
00
11
10
00
10
10
01
11
00
11
11
00
10
11
10
00
00
10
00
00
10
10
10
00
01
10
10
10
10
11
01
00
11
11
10
00
01
10
10
10
00
10
00
11
10
10
01
10
10
10
10
01
00
00
10
10
00
01
11
10
01
00
01
10
11
00
10
10
10
10
00
10
00
10
01
11
00
11
00
10
00
00
11
00
00
10
01
10
10
00
01
01
10
00
01
01
11
00
10
10
00
10
00
00
11
10
11
10
00
01
11
11
10
00
00
00
10
11
00
00
10
00
01
01
11
00
00
00
11
10
01
11
10
10
11
11
10
00
00
11
10
00
00
00
00
00
11
11
11
10
10
01
00
00
11
10
10
00
00
01
10
10
00
00
00
11
10
01
10
00
00
11
10
10
00
01
11
01
11
11
00
11
01
11
01
00
10
11
01
00
10
10
00
10
11
11
00
11
10
01
10
10
10
00
00
10
10
00
10
00
10
01
01
01
01
00
00
10
00
00
00
00
00
00
10
00
01
10
01
11
00
01
00
11
11
00
00
00
00
10
10
10
00
00
11
01
01
01
10
10
10
10
11
00
11
11
01
10
01
01
11
10
00
01
11
00
01
11
11
00
01
01
00
00
10
11
11
10
00
11
11
10
10
01
10
00
01
01
00
11
11
00
00
00
10
00
10
10
11
00
01
01
00
11
00
01
01
10
11
00
00
10
00
00
01
00
10
01
00
01
00
00
00
11
10
00
01
10
00
00
00
00
10
10
10
00
00
00
10
10
11
10
00
10
00
10
11
00
00
00
01
00
01
10
10
00
00
01
00
11
10
10
10
01
01
01
00
10
00
10
01
10
10
01
10
10
00
10
00
00
00
10
10
10
10
10
10
01
10
00
01
00
00
10
01
00
00
10
11
10
01
10
01
10
11
10
11
10
00
00
10
10
00
10
11
00
10
11
00
01
10
00
00
01
10
00
00
11
00
10
11
01
10
10
11
10
10
11
01
01
00
11
10
10
00
01
01
10
00
01
10
10
00
10
00
10
10
00
10
11
11
00
00
11
00
10
10
01
00
11
11
10
11
00
10
11
00
00
01
00
11
00
10
10
00
10
10
01
00
11
01
00
11
00
10
01
00
10
11
00
10
11
00
00
01
01
01
11
01
00
00
10
10
00
00
11
11
10
10
00
00
01
10
10
00
00
01
10
10
10
01
10
11
00
10
10
11
01
01
11
00
10
00
01
10
01
00
10
10
01
11
10
01
01
10
11
01
11
00
11
01
00
01
10
11
00
10
10
11
10
11
10
00
11
11
01
00
01
00
10
01
01
11
10
11
00
00
10
00
10
10
00
00
01
00
10
00
00
00
10
00
10
00
11
00
10
11
00
00
10
10
01
00
10
10
01
10
10
10
00
00
11
10
00
00
10
01
01
01
10
11
00
10
11
10
11
00
01
11
10
10
01
10
11
11
01
00
11
00
10
01
10
10
00
01
00
01
10
10
00
00
01
10
11
00
00
01
10
00
10
01
00
10
00
10
01
00
00
01
00
00
10
10
10
00
01
00
10
00
11
00
00
01
10
10
00
10
01
00
10
00
10
10
10
10
00
10
11
00
10
11
11
01
11
10
01
00
10
10
10
00
00
10
10
00
11
11
11
10
00
00
10
00
00
10
01
10
00
11
10
00
11
10
10
10
10
00
10
00
10
10
11
10
00
10
00
00
01
01
10
11
00
00
00
11
00
01
10
11
00
01
10
11
10
00
00
00
00
11
01
00
10
10
00
10
11
01
10
01
00
11
00
00
00
10
00
00
10
01
10
10
11
00
11
10
00
10
10
00
00
10
10
00
00
11
11
10
11
10
00
11
00
00
10
01
00
01
10
00
01
11
11
00
01
10
10
10
01
10
11
00
11
10
00
10
10
10
10
01
10
10
10
11
00
00
11
10
00
00
11
11
00
01
10
01
00
11
11
10
01
01
11
00
00
10
00
11
10
00
00
10
10
00
00
00
00
11
10
00
01
10
10
01
11
11
01
11
01
11
10
10
10
01
01
00
11
10
01
01
10
10
11
11
00
10
00
11
00
00
10
10
00
10
00
11
10
00
00
00
00
11
10
00
10
01
00
01
00
10
00
00
10
00
10
10
01
00
01
11
00
00
11
00
10
11
00
00
01
10
11
00
10
11
10
10
10
11
00
00
10
00
11
10
01
10
10
00
00
11
01
01
10
10
00
10
00
10
00
00
00
11
01
01
00
01
00
00
00
01
10
00
01
10
11
11
10
00
00
10
10
01
01
00
10
10
10
01
10
11
00
00
11
10
10
10
10
00
10
11
01
00
10
10
00
01
10
11
01
00
11
00
00
10
00
01
01
10
11
11
00
01
01
10
10
10
10
00
01
00
11
10
10
00
11
00
10
11
11
10
00
01
00
10
00
10
10
00
01
11
01
10
10
10
10
00
10
01
00
10
10
00
10
10
00
10
10
01
10
10
00
00
00
01
10
10
00
01
10
10
00
10
10
10
00
11
11
11
11
00
00
11
01
11
00
01
10
01
01
10
00
01
10
11
01
10
11
00
01
01
10
10
11
10
00
10
11
00
10
00
00
00
01
10
11
00
10
10
00
00
00
01
11
10
10
00
10
00
00
10
10
00
01
11
10
11
01
00
00
10
10
01
00
10
00
10
10
01
01
00
00
10
01
11
01
00
10
11
11
00
00
10
11
01
11
11
00
10
10
01
10
01
00
10
11
00
00
10
10
00
00
00
10
00
11
00
00
11
10
00
00
00
10
11
00
11
11
00
11
11
10
11
10
01
10
10
00
10
11
00
00
00
10
00
10
10
10
10
01
00
01
10
10
10
10
00
01
00
00
00
10
00
11
11
01
10
10
10
01
01
10
11
00
01
00
11
00
01
10
10
10
00
10
10
10
00
00
11
11
01
01
00
01
00
00
00
00
11
11
10
00
11
11
11
01
00
11
11
10
00
00
10
01
00
00
01
00
10
00
11
11
00
00
11
10
10
00
11
00
00
00
01
10
11
01
11
00
00
00
11
10
00
10
00
10
01
00
10
01
00
10
00
01
10
00
00
11
10
01
00
10
10
10
10
00
10
00
10
00
00
10
00
11
11
00
10
00
10
10
10
10
00
00
11
00
00
01
00
00
10
00
11
00
10
10
10
01
00
10
10
00
11
10
00
00
11
00
10
11
00
10
00
01
10
10
00
00
00
00
01
00
11
10
10
00
01
00
10
10
01
10
10
00
00
10
11
00
10
10
00
01
00
00
11
10
00
00
00
00
10
11
00
01
11
11
00
11
10
01
10
00
11
11
01
11
11
00
10
00
00
01
10
11
00
01
10
10
01
10
10
00
00
00
10
01
11
01
01
01
11
10
11
11
10
00
00
10
10
10
01
01
11
10
00
10
00
00
10
11
00
00
11
11
10
11
11
11
10
00
00
11
10
00
01
11
11
10
11
10
11
10
01
11
11
11
01
00
10
00
00
00
00
10
11
01
10
00
10
10
10
10
00
10
11
00
00
10
01
01
01
11
10
00
00
10
00
00
10
10
11
00
11
10
00
11
01
10
00
00
01
10
11
00
01
11
11
00
10
01
10
00
00
10
10
01
10
10
00
01
01
00
11
10
00
10
10
00
00
01
10
10
10
11
10
00
00
10
00
00
00
00
10
10
10
11
10
11
01
00
00
11
01
11
11
00
00
00
00
11
11
00
01
10
10
11
10
11
00
10
11
11
01
00
00
10
00
10
10
01
01
11
11
01
00
10
01
01
11
10
00
01
00
11
00
01
10
01
10
00
10
10
00
00
00
10
01
11
00
00
00
00
10
10
01
10
00
00
10
01
00
00
00
10
10
00
10
10
11
00
11
00
10
10
00
10
10
01
00
10
01
11
11
10
00
10
10
00
01
00
11
10
01
10
00
10
11
10
00
10
00
01
00
11
10
00
00
10
01
00
11
10
01
10
10
00
11
01
01
10
01
01
11
10
11
01
11
00
00
01
10
11
01
11
10
10
00
10
01
00
11
10
10
00
01
00
10
00
00
10
10
00
00
10
10
10
01
10
10
10
10
10
10
10
11
10
01
00
10
10
00
10
00
01
01
01
10
10
00
10
11
11
00
00
00
10
11
10
00
11
10
00
11
01
00
10
00
11
01
10
11
11
10
01
10
11
10
00
00
01
01
10
10
01
01
11
00
10
10
11
00
00
10
11
00
00
11
10
00
11
11
00
10
10
10
01
01
11
11
00
00
11
00
10
10
00
00
10
11
01
11
11
00
00
01
10
11
10
00
00
01
00
01
10
10
10
11
00
00
00
00
11
10
10
11
01
00
10
00
00
01
01
11
11
00
11
00
11
10
01
00
01
10
01
00
11
10
01
11
10
10
00
10
10
10
00
10
11
01
00
00
10
10
10
00
01
11
00
00
00
10
11
10
00
10
10
00
00
10
10
00
10
10
00
10
00
11
00
00
01
00
00
11
00
01
10
01
01
01
00
00
11
10
01
01
10
11
10
10
00
10
11
11
10
10
10
00
01
01
00
10
01
00
01
00
01
10
01
01
11
10
10
00
00
11
10
00
00
11
00
00
00
10
00
00
10
11
11
10
10
00
11
00
10
00
01
00
11
01
10
10
10
11
11
11
00
00
10
10
00
01
00
11
00
11
00
00
10
11
00
00
11
11
10
00
10
10
10
00
01
00
11
11
10
01
11
11
01
11
10
00
10
00
10
00
00
10
11
01
10
01
10
01
01
00
11
10
01
00
10
11
10
00
01
11
11
00
00
00
00
01
10
01
10
10
10
00
00
00
01
10
10
01
11
10
10
00
11
10
01
11
00
01
10
10
10
11
00
01
11
10
01
01
01
11
10
00
11
10
01
10
10
11
10
00
00
10
11
00
10
10
00
10
10
10
01
00
11
10
10
11
11
00
00
10
10
10
10
00
10
11
00
10
11
11
00
00
01
11
01
00
10
10
10
00
01
00
10
11
11
11
10
00
11
10
00
00
10
00
00
10
00
00
01
10
11
10
00
00
00
00
10
11
00
00
01
11
10
10
11
01
10
00
00
00
00
01
10
10
00
00
10
00
01
00
01
11
10
10
10
00
10
00
01
00
00
10
00
00
01
10
11
00
00
00
01
10
00
10
00
10
00
00
00
00
10
10
10
10
00
01
10
00
10
01
00
11
00
00
10
01
10
01
01
10
11
01
01
10
11
01
10
10
11
00
00
10
10
01
00
00
00
11
11
11
01
10
10
00
10
00
01
10
10
10
01
00
11
11
01
10
10
11
00
11
11
00
00
10
11
11
01
00
01
10
11
00
00
11
11
00
01
00
00
00
11
10
00
00
11
00
10
00
01
01
11
10
01
00
10
01
00
10
11
10
10
10
00
00
10
11
00
00
10
01
00
11
11
11
00
00
00
11
10
00
00
00
10
11
10
10
11
01
11
11
00
10
11
10
11
00
10
10
00
00
10
11
00
01
01
00
10
00
10
10
00
10
01
10
10
11
10
00
11
01
00
10
01
00
00
10
11
11
00
00
01
01
10
00
10
10
10
10
00
01
01
00
00
10
10
10
00
01
00
01
10
01
11
10
10
10
10
00
10
10
10
11
00
00
00
01
11
00
10
00
00
11
11
10
00
10
00
00
00
10
10
00
00
01
00
00
00
10
10
01
10
00
10
10
10
10
11
00
10
00
01
00
00
11
01
00
10
00
11
11
11
01
01
10
00
01
10
11
10
00
00
00
00
00
00
10
10
10
00
11
00
01
10
11
10
00
10
01
01
11
11
00
01
10
10
00
01
10
11
00
00
10
00
00
10
11
10
00
00
01
00
00
11
01
00
11
11
01
11
00
10
10
01
10
10
01
00
01
00
01
10
10
01
00
10
11
11
10
00
11
00
10
00
10
01
10
11
00
00
00
11
01
11
10
00
10
10
00
00
10
10
10
11
10
00
11
01
00
10
01
10
10
10
10
00
01
00
10
11
11
00
01
00
11
10
11
00
00
00
11
01
01
11
11
11
01
10
01
11
10
00
00
10
10
00
00
10
00
10
00
01
00
11
11
00
00
00
01
00
11
10
01
00
00
11
11
00
01
10
11
00
11
00
10
10
00
00
11
10
00
10
11
10
00
01
00
00
11
00
00
10
10
11
00
00
10
11
00
00
10
10
00
00
11
00
01
10
11
10
00
11
10
11
00
11
00
11
11
11
00
00
00
00
10
10
00
00
00
00
00
01
10
10
11
10
00
00
00
10
10
11
11
10
01
00
00
00
11
01
11
00
01
10
10
00
01
10
11
00
00
10
10
01
10
10
00
00
10
01
00
10
00
01
01
10
01
00
10
11
00
10
10
00
00
10
00
10
00
00
11
11
11
10
10
01
11
10
00
10
10
00
11
10
01
00
01
10
01
00
10
10
00
10
10
10
00
10
10
00
01
10
11
00
00
10
10
11
10
01
00
00
11
00
00
01
11
00
10
01
10
01
01
10
00
11
00
00
01
10
10
10
01
00
00
10
00
00
01
10
00
10
10
10
00
01
11
00
10
11
01
10
00
01
10
01
00
00
01
00
10
10
00
11
01
01
10
10
01
00
10
10
00
10
11
11
01
10
10
11
10
01
11
10
00
10
11
01
01
10
10
10
11
00
01
01
00
01
00
00
10
00
01
11
10
10
01
01
01
11
11
11
01
01
00
01
10
10
00
00
00
10
10
00
01
10
10
01
11
10
00
00
11
00
01
11
00
01
11
10
00
11
10
00
11
10
11
11
00
10
10
00
00
00
10
10
00
11
10
00
11
10
11
00
00
01
10
10
11
10
00
00
10
10
10
00
10
00
00
01
01
10
01
00
11
10
10
10
01
00
11
10
00
10
11
01
11
10
10
00
00
11
00
00
01
10
00
00
00
11
10
00
01
00
10
00
11
11
11
00
00
10
01
10
01
00
00
10
10
00
11
00
00
00
10
10
00
01
10
00
00
00
00
01
00
10
10
11
01
11
10
00
10
00
00
01
11
10
10
11
10
11
11
10
11
00
00
10
00
00
00
10
10
11
01
00
01
11
01
01
10
10
00
00
10
01
00
11
11
00
11
11
10
11
00
00
11
00
01
10
10
00
01
00
00
10
11
00
00
10
00
00
00
00
10
10
00
10
10
10
10
01
01
00
00
00
10
10
01
11
00
00
00
01
11
00
00
10
01
00
11
00
11
00
01
00
10
00
00
11
10
10
10
10
00
11
01
10
11
10
10
00
00
01
11
01
00
10
10
10
10
10
00
00
00
10
00
01
10
10
10
01
00
00
10
00
01
10
01
11
10
10
10
00
10
10
00
00
00
10
01
10
00
00
10
11
11
10
01
10
10
00
10
00
10
11
00
00
00
11
10
10
10
01
11
11
11
00
01
10
10
00
10
10
00
10
01
01
10
01
00
10
10
10
11
00
10
10
01
00
10
10
00
00
00
01
01
00
00
10
00
10
00
01
10
11
10
10
01
01
00
10
10
11
10
00
00
01
10
11
10
10
10
00
01
01
01
10
00
11
11
11
01
00
01
01
00
01
10
10
11
11
00
10
10
00
00
11
10
11
10
01
10
01
00
10
00
01
10
00
11
10
01
01
11
00
10
00
01
01
10
11
01
10
11
01
10
11
10
01
10
10
01
00
00
11
01
00
10
11
10
00
01
01
10
00
00
10
10
11
10
00
01
00
10
01
11
10
01
10
10
00
01
00
01
00
10
00
00
01
10
00
00
00
00
11
00
00
00
11
00
01
00
01
10
11
00
01
10
10
00
01
00
00
10
11
01
00
11
11
11
01
10
11
00
11
10
01
10
10
01
00
01
10
10
00
10
10
01
00
10
11
10
10
00
01
11
00
00
11
10
00
11
01
10
10
00
11
11
11
00
00
10
00
00
00
00
10
10
01
01
00
10
10
01
10
11
00
10
11
10
10
00
00
10
00
01
10
10
00
10
11
10
10
10
01
00
00
00
10
10
01
00
01
11
11
10
01
00
10
10
01
10
01
00
11
00
00
10
01
11
11
11
01
00
00
11
10
01
01
10
11
10
01
10
10
01
00
00
11
11
10
00
00
10
10
10
00
00
00
00
10
10
01
10
00
10
00
11
01
11
01
10
00
00
10
00
00
10
11
10
11
10
01
00
10
11
00
00
10
10
01
11
11
10
00
00
00
10
00
00
11
00
00
01
00
10
10
11
10
00
01
10
00
00
01
01
00
10
11
00
00
01
11
10
01
10
00
11
01
00
10
10
10
10
00
11
10
11
01
11
10
01
01
00
00
10
00
11
11
00
10
00
10
11
10
11
01
11
10
10
10
00
01
11
01
10
10
11
10
00
11
00
01
10
11
10
10
10
00
11
01
00
00
10
11
00
10
00
11
10
11
00
01
00
11
10
11
10
00
11
10
01
01
11
10
01
11
01
00
10
01
00
11
10
10
00
00
00
10
10
10
00
00
10
00
10
10
10
10
01
00
00
00
10
11
10
00
00
10
00
10
11
10
11
01
10
00
01
10
00
10
11
00
10
00
10
00
00
10
00
00
00
10
00
00
00
10
10
00
00
10
00
00
00
00
10
00
11
10
10
10
00
00
10
10
01
10
10
00
00
00
10
00
00
11
11
00
01
10
10
10
00
01
00
00
10
10
01
00
10
01
11
10
00
10
00
01
10
10
10
11
01
10
01
01
00
01
00
10
10
10
01
01
00
11
01
00
10
01
10
01
01
10
01
10
10
10
10
00
10
00
10
10
01
00
11
01
11
00
00
11
10
11
00
01
10
10
10
00
10
10
00
00
00
00
10
00
10
10
00
10
10
00
00
00
00
10
01
10
10
00
00
00
00
11
11
11
00
11
11
10
11
01
00
10
00
01
00
00
11
00
00
10
00
01
11
10
10
01
00
00
00
11
00
10
10
00
11
00
00
00
00
10
11
00
10
10
01
01
10
00
00
10
01
00
00
11
00
01
00
00
10
10
10
00
10
11
01
11
00
10
11
01
10
10
10
00
00
01
10
10
01
10
10
00
00
00
10
10
00
10
11
11
10
01
00
11
00
00
10
00
10
11
10
01
11
10
10
10
10
00
00
10
00
00
01
11
11
11
10
10
10
00
10
10
11
00
10
00
00
10
01
10
00
10
00
00
10
01
10
10
00
11
00
01
10
10
01
00
00
01
00
10
01
00
11
11
10
00
00
10
10
00
00
00
01
00
11
00
01
00
01
01
01
00
10
10
00
10
10
01
11
01
10
11
01
00
10
00
00
11
10
01
00
00
00
01
00
00
00
00
01
11
10
10
01
00
10
00
01
10
10
00
00
10
01
10
11
11
00
11
10
00
00
00
11
00
00
00
00
10
00
10
10
11
01
00
11
00
00
10
01
10
00
00
11
10
00
00
00
00
10
10
00
10
10
00
01
01
00
00
00
10
01
01
11
01
00
10
10
11
00
00
10
00
00
10
00
10
11
10
01
10
00
10
10
00
10
11
00
11
11
00
11
00
00
00
11
10
11
00
01
10
00
10
00
11
10
01
00
10
01
00
11
10
11
00
11
00
01
00
01
11
10
10
00
10
00
01
10
10
00
11
01
00
00
01
10
11
10
01
00
10
01
11
00
01
10
10
01
10
00
11
11
11
10
00
01
01
10
10
00
00
01
11
10
01
10
01
10
00
00
11
00
00
10
11
10
01
00
10
00
01
11
10
01
01
00
01
00
00
00
10
10
00
10
10
11
00
00
00
10
10
00
11
11
11
00
00
11
10
11
11
11
00
00
00
01
00
01
10
11
00
11
00
10
00
01
10
10
00
01
10
10
10
00
00
00
10
10
01
00
10
00
10
01
10
11
00
11
00
00
10
10
10
00
00
10
11
11
11
00
10
00
10
00
00
10
10
10
10
00
10
01
00
10
11
11
10
11
11
00
00
00
11
10
00
00
00
01
00
10
00
10
00
10
11
11
10
00
00
00
00
00
11
10
11
00
00
00
00
11
00
00
10
11
00
01
10
00
00
11
10
10
00
10
10
10
00
00
00
10
10
00
10
01
00
11
00
00
00
01
01
10
10
00
11
10
10
00
00
00
10
00
01
01
10
10
00
01
10
01
00
10
11
00
01
10
10
00
10
11
10
11
00
01
10
10
00
10
00
01
11
00
01
10
10
00
10
11
01
11
11
10
00
10
00
00
11
10
01
00
10
10
00
10
01
00
11
00
10
10
11
10
01
10
10
10
01
11
01
00
10
10
01
10
00
00
11
10
11
11
01
00
01
10
00
11
00
01
10
00
10
10
00
00
10
10
10
10
00
10
00
00
11
00
00
10
01
00
00
00
11
00
10
00
01
01
10
11
00
00
10
10
10
01
00
10
10
00
11
10
11
01
10
10
00
00
10
10
11
00
00
01
11
00
00
10
10
00
00
00
00
00
10
10
10
11
10
00
10
10
10
10
00
10
10
11
00
10
10
01
11
11
11
10
00
00
00
00
10
10
01
01
00
01
01
01
10
11
01
10
01
10
11
00
00
10
01
10
11
01
11
10
00
00
01
01
10
01
00
00
00
10
11
10
10
01
10
10
00
10
00
10
11
01
11
01
00
01
10
11
00
10
00
01
01
11
00
00
00
01
00
10
00
01
00
11
10
11
00
10
10
00
10
10
10
00
00
11
10
10
00
10
00
11
10
00
00
01
10
10
00
10
01
11
11
10
11
01
00
00
11
01
00
11
10
00
00
11
00
00
10
10
10
01
00
00
11
10
10
11
00
01
10
00
00
11
11
01
00
10
10
11
11
00
01
00
10
00
10
00
00
00
10
11
11
00
00
10
10
10
11
10
10
11
10
00
01
00
10
10
00
00
01
01
10
00
10
10
10
10
00
11
11
00
10
10
00
00
01
10
10
00
10
01
10
01
00
11
00
11
10
00
00
10
10
01
11
10
00
01
10
10
00
01
00
10
00
11
01
11
00
00
10
00
00
00
10
00
11
00
01
10
11
11
01
01
10
01
01
00
10
10
00
00
10
10
10
00
00
10
00
00
10
01
00
11
01
10
10
10
11
01
00
00
10
10
01
10
11
10
00
01
00
10
10
11
01
00
10
10
10
01
01
01
10
11
10
11
01
11
01
10
10
01
11
10
10
00
01
00
10
01
10
10
11
01
01
01
00
10
00
10
01
00
11
01
10
10
10
00
10
00
00
10
01
01
10
10
10
10
10
01
10
11
00
10
00
11
00
01
00
10
10
01
01
00
01
10
00
00
00
00
11
00
01
01
10
11
10
10
00
10
01
10
10
01
00
10
00
01
10
11
10
00
11
10
00
11
11
01
01
11
01
01
00
10
10
00
00
10
10
00
00
00
00
10
00
00
00
11
10
01
11
00
10
11
10
00
00
00
10
01
10
11
10
11
10
00
11
10
00
00
11
00
10
10
00
01
00
01
11
00
10
10
01
00
01
11
10
10
11
10
00
00
00
10
01
00
11
10
10
10
10
11
00
10
10
11
10
00
10
10
11
00
01
10
10
11
01
11
10
00
01
00
10
10
00
01
11
01
10
11
00
00
01
10
01
10
01
00
11
10
01
00
10
11
01
10
11
00
01
10
10
10
10
00
00
10
10
10
00
00
01
11
11
11
10
11
01
00
10
11
00
01
10
11
00
00
10
11
00
11
10
00
00
10
00
00
10
11
11
00
00
00
10
10
10
10
10
01
00
00
10
01
00
01
10
10
11
11
10
01
00
10
00
10
10
01
01
11
00
00
01
10
00
00
01
10
11
00
01
01
11
00
00
01
10
01
10
01
10
10
10
10
00
01
01
10
10
00
01
10
01
01
11
01
00
10
11
00
00
11
10
10
01
00
11
10
10
00
01
00
00
10
10
00
00
01
10
01
01
11
00
11
01
10
10
01
10
11
00
00
00
00
10
10
00
10
00
00
10
10
00
10
10
00
10
00
00
01
10
10
01
01
11
00
01
10
00
00
10
11
10
00
01
01
00
11
10
10
00
00
10
00
01
10
10
00
11
11
00
00
11
01
01
11
10
01
00
11
00
01
10
11
00
11
10
01
10
00
01
10
10
01
00
00
00
00
01
10
00
10
11
00
01
01
10
10
10
00
00
10
11
01
10
10
10
01
11
10
00
10
10
01
11
01
10
01
01
00
10
11
00
00
10
10
11
10
10
10
00
01
11
00
00
10
11
01
00
11
00
00
00
11
10
00
10
10
00
00
10
10
10
00
00
00
10
00
00
10
00
10
00
10
01
10
11
01
10
00
10
01
11
00
00
00
11
10
00
10
11
00
11
10
00
11
11
01
00
00
10
10
00
10
01
00
10
10
10
10
01
10
01
10
10
10
00
00
10
10
00
01
10
11
10
10
10
11
10
00
01
00
00
10
00
00
00
01
10
10
10
11
10
00
00
10
00
10
10
01
11
10
01
00
11
00
11
11
00
00
11
00
01
11
11
01
00
11
10
01
10
00
10
00
00
11
10
00
10
01
00
11
10
00
11
10
01
00
10
00
00
11
00
01
10
00
00
00
00
10
10
01
10
10
10
00
00
00
01
10
10
00
10
10
10
01
00
11
10
10
00
01
10
11
11
01
00
10
00
10
11
01
00
10
10
10
10
01
00
00
10
10
10
00
00
11
00
00
01
00
10
01
10
11
00
00
00
00
01
10
10
01
10
10
11
00
01
10
11
01
11
11
00
01
10
11
00
10
10
00
00
10
00
00
10
11
01
00
00
10
01
00
01
01
11
10
11
00
10
10
01
00
11
10
00
01
01
00
10
01
00
00
10
00
10
11
10
00
10
00
00
10
11
10
11
00
00
00
10
00
00
01
00
11
00
10
00
11
10
01
10
10
10
10
10
01
01
10
00
00
10
11
01
00
11
10
01
10
01
10
00
10
00
00
10
00
10
10
00
00
00
00
10
01
00
10
01
11
10
01
10
10
10
10
00
00
10
10
10
11
00
11
01
11
00
00
10
11
00
00
10
11
10
10
00
00
00
11
01
10
00
11
10
00
11
10
01
00
01
10
00
00
01
10
11
10
00
00
01
00
01
10
00
10
00
00
10
00
11
00
00
00
00
11
11
10
00
10
10
11
00
00
01
01
00
00
10
10
00
10
11
00
10
01
00
11
11
00
10
10
01
00
10
10
00
00
01
11
11
01
01
11
00
01
00
10
10
01
00
10
11
00
00
00
11
00
10
11
10
00
00
10
11
00
10
01
00
10
11
11
01
00
00
00
00
10
10
11
01
00
10
10
10
11
00
10
01
01
01
10
11
00
00
00
00
01
10
10
01
00
00
11
00
01
00
10
01
01
11
11
01
10
00
00
10
00
10
11
01
00
10
10
00
00
01
00
00
10
10
00
10
10
11
00
01
11
00
01
11
10
01
01
11
11
01
00
01
00
10
11
00
01
10
10
01
10
01
10
10
00
00
00
01
01
00
01
01
10
01
00
10
00
11
10
10
10
00
11
10
10
01
11
00
00
00
11
10
00
11
00
01
10
11
00
00
11
10
10
01
00
10
10
00
00
00
01
10
00
00
10
00
00
11
10
01
11
01
10
01
01
10
00
01
10
11
00
00
00
10
00
00
00
11
10
00
01
10
10
11
01
10
10
00
10
10
10
01
01
10
01
10
10
10
00
10
10
01
00
00
01
11
11
10
10
00
00
11
10
01
00
11
01
10
01
10
10
01
10
01
00
10
11
11
01
01
10
11
00
00
00
10
11
01
00
00
01
10
10
10
00
00
11
00
11
00
00
10
00
10
10
01
00
10
10
00
10
00
10
10
00
01
11
00
01
10
10
01
01
11
00
00
11
10
10
00
10
10
00
00
00
10
10
10
00
01
00
00
01
10
01
01
01
11
01
01
01
00
10
10
00
00
00
10
10
01
01
10
10
01
11
10
01
00
10
11
01
01
00
01
11
10
10
01
01
10
00
01
01
10
11
10
11
01
01
00
00
10
11
10
00
00
11
00
00
00
00
11
11
10
10
00
00
10
00
10
00
00
11
10
10
10
10
10
10
01
00
00
11
00
10
00
00
10
01
10
00
10
11
00
10
11
00
10
00
01
10
00
01
00
10
10
00
10
01
00
10
00
00
11
00
10
10
11
00
00
10
00
00
11
10
10
10
11
00
11
01
10
10
00
00
01
00
10
01
11
10
00
10
01
01
01
00
10
00
00
01
00
10
11
01
00
00
10
01
00
10
00
00
10
00
00
10
10
11
00
01
00
11
00
11
00
00
10
01
00
11
10
01
00
01
10
10
00
10
00
00
10
10
10
11
00
10
00
00
00
10
01
00
10
01
00
00
00
01
01
11
11
01
10
01
11
10
00
00
10
11
00
11
11
00
10
10
00
10
10
00
00
10
00
10
10
01
10
00
10
10
10
10
10
11
10
11
10
00
00
11
00
10
00
00
10
01
10
00
00
11
00
10
00
11
00
11
10
01
00
10
11
01
01
10
11
01
11
10
01
01
11
11
00
10
01
00
11
00
10
00
10
01
00
00
10
10
01
11
10
01
00
10
10
10
00
00
11
10
00
10
01
00
00
10
11
01
11
10
00
00
01
10
10
11
11
11
00
01
10
00
10
10
01
00
01
10
11
00
01
00
00
01
10
10
10
01
01
01
01
10
10
00
00
10
00
00
10
00
10
00
10
10
11
01
00
11
00
10
10
10
00
10
10
00
00
00
10
10
10
00
01
00
10
10
00
11
00
00
00
00
00
11
00
10
11
10
10
00
11
10
00
10
00
10
00
00
10
11
11
00
10
11
00
10
00
00
11
11
10
10
00
10
00
10
00
00
00
10
11
01
10
10
10
00
01
01
00
11
01
00
11
00
10
01
11
10
01
01
11
10
01
01
10
11
01
01
10
11
00
11
00
00
10
10
00
01
10
11
10
01
10
00
00
10
11
01
00
11
00
10
11
10
11
01
10
10
00
00
00
10
11
00
01
11
10
01
00
00
00
10
10
00
10
00
00
10
10
11
10
10
01
11
11
11
01
00
11
00
10
10
01
00
11
10
00
00
11
11
01
00
11
01
10
11
11
11
00
00
10
10
01
00
11
10
01
01
00
10
10
10
00
01
10
11
00
00
01
10
10
01
11
11
10
00
10
10
11
11
00
00
00
01
00
10
10
00
01
01
00
11
01
10
00
00
00
00
00
10
10
00
00
01
00
00
10
11
01
10
00
10
00
00
01
00
00
00
10
00
10
01
10
10
10
00
00
10
00
11
11
11
00
00
10
00
10
11
00
00
10
01
10
10
01
00
00
00
10
10
11
11
10
00
11
10
11
10
11
01
00
00
10
11
00
00
11
11
11
11
01
01
00
00
00
10
00
10
10
00
01
00
10
10
00
10
11
10
00
10
10
10
11
01
11
10
10
01
00
11
10
00
01
00
11
10
00
00
00
11
10
10
11
10
00
10
11
00
01
10
10
11
00
10
00
01
11
10
01
01
10
00
10
10
00
10
11
00
00
10
10
11
11
10
00
00
10
01
01
10
00
00
10
10
10
10
00
00
11
10
01
00
10
10
10
10
00
00
10
00
10
11
11
00
00
00
11
00
11
01
11
10
10
11
01
10
10
00
01
00
10
11
10
01
10
00
10
00
00
10
01
00
00
00
01
10
01
01
10
01
01
01
10
10
00
00
00
10
00
01
10
10
10
00
00
01
00
10
01
01
10
00
10
11
10
10
00
10
10
00
10
01
01
10
00
00
00
00
10
10
00
11
10
10
00
00
01
00
10
00
10
10
00
00
11
01
11
10
10
01
01
00
01
10
11
01
11
00
01
10
10
11
00
11
10
11
10
10
00
00
01
10
01
00
10
11
01
11
00
00
10
00
00
00
11
11
00
00
11
00
00
00
00
10
00
00
10
11
00
00
10
10
10
10
10
11
00
00
10
00
11
00
00
10
10
10
00
10
00
10
10
01
00
00
11
00
00
00
11
01
00
10
01
10
10
01
11
11
00
00
10
00
00
11
01
01
10
11
01
00
01
10
11
00
00
10
00
10
10
10
10
00
00
01
10
10
10
00
00
10
00
11
10
10
01
01
10
00
11
00
01
10
01
11
10
00
01
00
10
10
10
01
11
11
01
01
10
11
10
00
00
11
01
01
00
11
10
10
11
10
00
00
10
00
00
00
11
11
00
00
01
10
10
01
11
10
10
11
01
00
00
11
10
01
01
10
00
00
10
11
01
00
01
10
00
00
00
00
00
11
10
11
00
00
10
10
01
10
10
00
00
10
00
01
11
10
10
10
10
00
00
01
00
10
10
01
10
01
00
10
11
00
00
10
11
00
10
11
01
11
10
01
00
10
00
10
10
10
10
01
01
01
00
00
01
11
00
00
10
10
00
11
00
11
00
10
10
00
11
01
11
10
00
00
10
00
00
00
10
01
10
00
01
01
10
10
00
10
00
11
10
00
10
10
00
10
00
00
10
10
01
00
01
11
11
01
00
10
10
01
00
10
10
00
00
10
11
11
00
11
00
10
00
01
10
01
01
10
01
10
00
00
10
11
00
00
10
10
00
00
11
00
10
00
01
00
10
10
11
01
01
10
11
10
01
01
10
10
01
10
00
11
00
01
11
00
10
01
00
00
10
10
00
00
10
10
00
00
01
11
00
00
00
10
00
11
10
10
00
01
01
10
10
01
11
11
10
01
00
00
10
00
10
10
00
00
01
11
11
01
10
00
10
01
00
10
11
01
10
10
00
00
00
11
01
01
00
10
00
01
00
10
00
00
01
01
00
00
00
00
10
10
00
10
11
00
01
10
00
11
01
11
10
11
10
11
01
00
11
11
00
01
01
11
10
01
00
00
10
11
00
00
00
11
00
10
00
10
00
01
00
10
01
10
11
10
10
01
10
00
10
01
01
10
00
10
11
01
11
00
00
11
11
00
10
10
10
00
00
11
01
00
11
00
00
10
10
11
00
10
11
10
00
01
11
00
10
10
11
10
00
00
00
10
01
00
10
10
10
10
11
10
01
10
11
00
01
11
11
10
00
00
01
10
10
00
00
10
11
10
10
01
01
00
00
00
11
01
10
11
10
01
00
10
00
00
01
00
10
10
00
10
01
11
10
10
00
10
00
00
11
11
10
01
10
11
01
10
10
10
00
01
10
10
10
10
00
00
00
11
00
00
00
10
11
00
10
00
01
10
01
01
11
10
00
11
10
01
01
00
00
01
10
11
00
00
01
11
10
00
00
10
00
00
00
10
11
01
00
00
11
01
11
00
01
10
10
11
01
10
11
10
00
00
01
00
11
00
11
10
00
10
10
10
01
00
00
10
11
00
01
10
01
00
00
10
10
00
10
00
00
10
01
11
10
00
00
11
10
10
00
11
00
11
10
01
10
10
11
01
01
01
11
10
10
11
00
00
10
11
10
00
11
01
00
00
10
11
00
11
00
10
00
10
11
10
10
00
01
00
00
00
10
00
00
10
00
01
10
00
10
10
10
00
00
11
11
00
10
11
01
00
01
10
00
01
10
00
10
00
01
00
01
11
11
10
10
10
00
00
10
00
00
10
11
10
11
00
01
00
10
00
10
11
01
10
11
01
01
10
00
10
00
00
10
01
01
11
10
10
10
00
10
00
00
11
10
00
10
01
00
10
10
10
01
00
01
00
10
10
00
00
10
11
10
10
11
11
01
01
10
10
11
10
00
00
00
11
00
00
10
11
00
00
10
01
10
10
10
10
10
00
01
10
00
01
00
10
00
00
10
00
01
10
00
01
00
10
00
01
00
00
01
11
10
01
00
10
10
00
01
10
10
01
01
10
11
00
00
01
10
00
01
00
11
01
11
11
11
00
10
10
00
00
10
10
01
01
00
10
11
01
00
11
10
11
00
10
00
01
10
10
01
11
11
01
00
11
00
00
10
00
00
10
11
10
00
00
10
01
10
00
00
00
11
00
01
10
01
00
10
01
01
10
10
01
11
10
10
10
00
00
01
10
00
11
10
10
10
01
00
11
11
01
01
10
11
10
10
00
00
10
00
00
10
00
11
00
10
00
00
10
10
10
01
10
10
10
11
00
01
10
00
00
00
10
01
00
11
00
00
01
11
10
01
01
11
10
00
11
10
01
00
00
10
00
01
11
10
11
01
00
10
00
10
00
11
10
11
10
01
00
10
10
01
00
10
11
00
00
10
01
01
01
10
10
01
11
10
01
10
11
10
00
01
10
01
00
10
10
10
00
10
10
00
00
10
00
00
01
00
10
11
01
10
11
00
00
10
00
11
00
01
11
00
00
01
10
10
00
00
10
10
11
00
01
10
01
01
00
11
00
10
10
11
10
01
01
00
11
10
10
10
11
00
11
00
00
00
11
11
01
00
10
00
01
10
10
00
10
00
00
10
10
01
10
00
00
10
00
00
11
11
10
11
00
01
00
11
10
10
10
01
10
00
00
00
01
00
00
10
10
10
00
00
00
01
11
10
10
00
00
11
10
01
01
10
10
00
01
11
01
01
00
11
01
01
10
00
00
11
00
00
10
11
00
01
11
00
10
11
01
00
01
10
10
10
11
01
01
00
11
10
00
00
10
00
00
01
10
00
01
10
00
00
01
00
01
01
10
00
11
00
11
10
00
00
00
11
10
01
10
11
00
11
10
00
00
10
00
11
10
01
00
00
00
10
10
11
00
00
00
10
11
10
10
10
01
00
01
11
00
01
11
00
01
10
11
10
00
01
11
11
00
00
10
00
01
10
11
00
00
10
10
10
10
00
00
00
00
10
10
01
10
10
01
10
11
10
10
10
00
01
00
00
11
00
00
00
10
11
10
00
00
00
10
00
00
01
11
10
10
10
00
01
00
00
00
10
10
10
11
10
11
00
00
10
10
00
11
00
10
00
10
00
00
01
10
11
00
00
01
00
00
10
10
10
01
11
11
00
01
10
00
01
00
00
11
00
01
00
10
10
10
01
01
00
11
10
00
00
00
10
10
00
00
00
00
00
00
11
10
01
00
10
10
10
01
00
10
10
00
01
10
01
11
01
00
00
01
11
00
00
10
10
00
10
00
00
00
10
11
11
00
01
10
10
10
00
00
11
00
10
01
10
00
10
10
01
00
00
11
10
00
11
11
00
10
11
00
00
10
10
11
00
00
10
10
00
00
11
01
00
01
00
10
11
01
10
11
00
01
00
01
11
11
10
00
00
10
11
11
01
00
00
00
01
00
01
10
10
11
00
10
01
00
01
10
10
01
01
11
00
11
10
10
00
11
10
00
00
10
00
10
00
00
01
01
01
00
10
00
10
11
11
00
00
10
00
10
10
10
11
01
00
10
10
00
10
00
00
10
10
00
00
10
11
01
10
10
11
10
01
01
00
11
10
00
00
00
10
00
00
10
01
10
01
00
10
10
10
00
00
01
10
00
00
11
10
01
11
10
01
01
11
10
00
10
00
00
00
00
11
01
01
01
00
10
00
10
11
01
01
10
10
00
00
01
11
10
00
11
10
00
01
10
10
10
01
01
11
10
01
10
10
00
00
10
11
01
10
00
10
10
01
11
00
11
11
00
01
10
11
00
10
00
00
01
10
00
01
00
01
01
10
11
10
00
10
11
01
10
00
01
10
11
01
11
10
11
00
01
00
00
01
10
11
01
10
10
00
10
10
00
10
00
10
00
10
11
10
10
00
10
10
11
01
01
01
10
00
01
01
01
11
11
00
01
10
10
01
01
11
10
01
00
10
10
00
10
10
10
00
00
00
01
10
10
01
00
00
00
00
01
11
10
10
11
00
00
10
00
10
11
01
10
00
00
10
11
00
11
01
00
01
10
10
00
00
10
11
00
10
00
01
00
11
11
00
00
01
00
10
01
00
11
11
00
11
10
00
00
01
00
00
00
10
01
00
10
00
00
11
10
10
00
00
01
11
11
00
10
10
00
11
01
11
10
00
00
00
00
00
10
11
01
10
11
10
10
10
00
10
00
01
10
01
00
11
00
10
01
10
11
10
11
00
01
01
00
01
10
01
01
00
10
10
11
00
11
11
01
01
00
10
10
00
00
11
10
00
00
11
00
00
10
11
00
10
01
00
01
01
10
10
10
01
00
10
10
00
00
10
01
10
00
11
00
11
01
10
10
11
00
10
00
01
11
10
10
01
10
00
00
10
00
10
01
10
00
00
00
00
10
00
00
10
01
00
11
11
01
10
10
00
01
10
10
11
00
00
00
11
01
00
11
11
01
01
10
11
10
10
00
10
10
00
11
10
01
00
01
00
00
00
10
11
00
10
11
10
10
10
00
00
00
10
00
00
01
01
11
00
00
00
10
10
00
00
10
01
00
10
10
11
10
10
00
10
00
10
01
00
00
00
11
01
10
01
10
01
11
10
01
00
10
10
00
01
10
00
00
10
00
10
11
00
11
11
10
10
01
10
10
00
00
00
10
10
10
11
10
10
11
00
11
11
10
10
00
01
10
10
00
11
11
11
11
01
00
00
10
00
10
00
00
11
00
00
00
00
00
01
00
11
10
00
11
10
00
00
00
11
00
11
11
10
01
01
10
10
10
00
10
01
10
11
10
00
00
11
00
00
00
01
01
10
10
10
11
00
00
10
10
00
01
01
01
00
11
01
00
00
10
00
00
00
11
11
11
11
10
01
00
10
10
11
00
01
00
10
01
00
01
00
10
11
01
00
11
11
11
00
01
10
10
01
00
10
11
01
00
10
00
00
00
00
10
01
00
00
10
00
00
10
00
10
10
11
00
10
00
00
10
11
10
01
10
11
10
00
00
00
00
11
00
00
10
01
10
11
10
10
10
00
00
10
00
00
11
11
10
00
11
11
01
11
11
10
01
11
10
01
01
00
10
00
11
00
10
11
00
10
10
00
00
01
11
10
00
10
00
10
11
10
00
00
10
11
11
11
00
00
10
11
00
11
01
11
10
10
10
00
10
10
10
10
10
10
00
00
10
10
00
01
01
10
01
11
10
11
01
11
00
01
11
11
00
00
11
10
11
00
00
10
10
00
00
10
11
10
11
00
00
11
01
11
00
10
01
10
10
00
00
10
10
11
11
00
10
10
00
10
00
01
00
10
10
01
01
11
11
10
11
00
00
00
11
00
00
10
10
00
10
10
10
11
10
10
00
01
10
10
10
00
01
10
00
10
10
11
01
00
11
00
10
10
10
00
10
00
01
10
10
01
10
10
11
00
01
10
10
00
10
10
11
11
00
00
11
11
10
00
00
10
00
00
10
00
00
01
10
00
11
10
11
10
00
11
00
10
01
00
11
01
10
01
10
10
00
01
01
10
00
01
01
11
01
00
10
10
01
10
11
00
10
00
00
01
10
10
01
10
00
10
00
01
01
11
00
00
00
00
00
11
01
10
11
10
00
00
00
10
00
00
11
01
00
11
10
11
11
01
10
00
11
10
11
01
01
10
10
00
10
10
00
10
01
00
01
01
01
01
00
00
10
00
10
01
00
00
11
10
01
10
01
00
00
11
00
00
10
01
00
00
01
10
10
10
00
10
01
10
01
10
11
00
00
10
10
00
00
00
00
11
10
10
01
01
00
00
11
10
01
10
11
00
11
10
10
10
00
10
10
11
01
01
11
00
10
00
01
10
01
00
11
10
00
11
10
00
01
01
01
11
00
00
00
00
01
00
00
10
11
01
10
00
10
00
00
11
10
01
10
10
00
11
01
00
11
01
10
10
00
01
00
11
10
01
00
00
11
10
11
10
00
11
01
11
11
11
01
01
01
01
11
11
00
00
11
00
01
11
10
00
10
10
00
01
01
10
10
10
00
00
01
00
10
10
00
10
00
10
10
11
00
01
00
11
10
11
10
10
10
00
10
10
11
00
11
01
11
10
00
01
10
00
11
10
10
01
00
11
00
00
00
11
00
00
10
10
10
00
00
11
00
10
11
10
11
10
11
00
00
10
00
00
10
00
01
10
10
10
11
10
00
10
10
00
10
10
01
10
11
01
10
00
00
10
10
00
00
11
01
10
10
11
11
01
01
11
00
10
10
00
11
00
00
10
00
10
11
00
11
00
01
11
00
00
10
10
00
11
01
01
10
01
11
10
00
10
10
10
00
01
11
00
00
10
00
10
10
01
10
00
01
00
00
10
10
00
00
10
01
01
00
00
11
00
00
10
11
10
10
00
10
10
01
01
00
10
11
00
10
10
01
00
10
10
00
00
01
11
11
10
11
00
10
10
01
10
11
00
01
10
10
10
00
11
11
10
11
00
00
01
00
00
00
01
10
10
00
00
11
10
01
10
11
10
01
01
01
10
10
00
00
10
10
00
10
10
01
10
11
10
11
00
10
00
01
10
10
11
00
00
01
00
10
01
00
10
10
10
01
10
11
00
10
10
00
00
01
00
10
01
00
10
00
10
11
01
11
10
10
11
00
00
01
00
00
11
10
10
10
11
10
10
01
00
11
01
11
00
00
10
11
00
11
10
00
00
00
01
11
00
01
00
00
00
00
11
11
11
00
10
10
00
01
10
10
00
10
00
10
00
01
11
00
11
10
01
00
01
10
00
01
10
10
00
00
10
11
11
00
10
11
00
10
00
00
00
00
10
10
10
00
00
00
00
10
10
10
01
01
10
00
00
01
10
10
10
01
01
11
00
10
10
10
10
10
10
01
11
01
10
01
11
10
01
00
10
10
10
10
00
01
10
10
00
10
11
10
01
01
00
10
10
00
11
11
00
11
10
01
00
10
00
00
10
11
10
00
00
11
10
00
10
10
01
10
10
00
11
11
00
01
01
00
10
11
10
00
00
00
10
00
00
10
10
00
10
01
11
00
11
10
11
01
01
11
00
00
10
01
10
10
11
00
00
11
00
00
01
00
00
10
10
01
00
10
10
10
01
01
00
11
01
01
00
10
00
10
11
00
10
10
01
10
00
01
01
00
00
01
10
01
10
10
11
00
10
10
00
00
10
01
01
01
00
01
00
10
01
10
10
11
10
01
10
10
10
10
00
00
01
11
00
10
01
11
01
00
10
00
00
10
10
00
00
00
10
00
11
00
11
10
10
11
11
10
00
01
10
00
00
11
00
01
10
01
11
10
00
10
00
10
01
11
10
11
10
01
01
00
00
10
10
10
00
01
11
00
00
10
11
10
10
00
10
11
00
01
00
10
10
10
10
00
11
10
11
00
01
00
11
10
00
00
01
01
11
10
00
00
10
01
10
11
00
01
10
11
01
00
00
10
10
01
00
11
10
00
00
00
11
10
11
00
01
10
00
00
00
10
10
11
00
00
10
00
11
00
00
10
11
00
00
00
11
00
10
01
10
00
00
01
10
11
01
01
10
01
11
10
01
00
10
11
00
01
10
10
00
00
00
10
01
00
00
11
01
11
10
00
11
11
10
10
01
00
00
00
11
11
00
01
10
10
00
00
10
10
00
10
10
10
00
00
00
00
11
10
10
10
11
10
10
00
00
10
00
01
11
01
11
00
11
01
00
10
00
01
10
10
11
10
10
00
00
10
01
01
11
01
11
01
01
00
00
11
10
01
01
10
10
00
10
10
00
00
00
00
11
01
11
00
00
10
10
00
10
10
00
11
00
00
00
01
01
00
00
00
00
11
11
01
10
10
10
00
00
10
01
01
01
10
10
01
10
01
00
00
01
10
10
00
00
10
10
00
00
00
10
00
10
11
10
10
01
10
01
00
10
01
00
01
10
11
10
11
00
10
00
11
11
00
10
00
00
01
01
10
11
00
00
00
10
11
00
00
10
00
01
10
11
10
10
01
01
01
00
10
10
00
01
11
11
01
01
10
00
01
00
10
10
00
00
10
01
11
00
01
10
00
01
01
10
01
00
10
10
00
00
10
10
00
11
10
00
01
00
00
11
10
10
11
00
00
00
00
11
11
10
10
01
00
10
01
00
11
01
00
10
10
00
00
11
10
01
10
11
11
10
00
10
00
00
00
10
00
01
01
10
01
00
00
00
10
00
11
10
11
00
00
00
01
10
00
00
00
10
00
01
00
11
11
00
01
10
10
01
00
11
10
10
01
00
11
10
10
00
11
00
01
00
00
10
10
00
11
00
00
01
00
00
00
10
11
01
11
10
11
00
10
01
00
00
10
10
01
01
10
00
10
10
10
11
00
10
01
00
01
11
10
11
00
10
00
00
11
11
00
00
00
00
10
10
00
01
11
11
00
10
10
01
00
11
11
00
00
10
00
00
00
10
10
00
01
10
10
01
10
01
00
11
00
00
10
10
00
00
01
00
10
11
00
00
10
11
10
00
00
11
00
11
10
00
10
11
01
00
00
10
00
01
10
10
00
00
10
10
10
11
00
10
00
00
10
00
11
10
10
10
01
00
01
10
01
10
11
01
00
00
10
01
11
00
01
00
00
11
10
11
00
11
10
10
10
10
10
10
01
00
11
00
10
10
11
11
10
11
00
10
10
10
10
00
00
00
01
00
00
01
00
10
00
00
10
10
00
00
10
00
01
10
10
00
10
10
10
01
10
00
11
01
00
10
11
00
10
10
01
10
00
10
10
00
11
10
10
11
11
00
10
10
10
10
00
10
00
01
11
10
01
10
11
00
11
11
10
10
01
00
10
00
01
00
10
00
11
00
01
00
10
10
11
00
00
10
00
00
10
10
10
11
10
00
01
11
01
00
01
10
11
00
10
10
00
00
10
10
00
11
10
10
10
00
10
00
10
10
01
00
00
01
10
11
01
00
00
01
01
10
10
01
10
00
00
10
01
00
01
01
01
00
01
10
11
00
10
01
01
10
10
00
10
10
10
00
10
00
01
01
11
10
10
01
01
01
10
10
01
10
00
00
10
10
10
01
10
00
01
00
01
10
00
00
10
10
10
00
01
10
10
10
10
00
11
00
01
10
10
00
00
10
10
10
00
00
00
00
01
00
01
00
11
01
00
10
11
00
01
10
10
11
10
00
00
00
10
10
01
00
11
10
01
01
11
10
01
11
11
01
01
10
11
01
00
10
10
00
11
10
11
10
01
10
00
00
10
00
00
00
00
00
01
00
10
01
00
11
11
00
10
10
10
11
11
00
01
11
00
01
00
10
10
00
00
10
10
01
10
00
10
10
10
11
01
00
11
01
11
10
00
01
10
00
00
11
11
11
10
00
10
00
00
11
00
11
10
10
11
10
10
01
00
11
10
01
11
01
00
11
11
01
10
11
00
00
00
01
11
10
10
01
10
10
01
10
10
10
01
11
00
01
10
01
01
01
10
11
10
01
00
01
10
00
01
10
10
00
11
11
01
10
10
10
10
01
00
11
11
00
10
10
00
10
10
00
00
10
01
00
11
00
00
11
01
01
10
10
00
00
10
10
10
00
01
10
10
10
00
01
11
10
10
00
11
10
00
00
11
11
01
10
10
10
10
11
10
11
01
00
01
00
10
01
11
10
10
00
00
11
00
00
11
10
11
10
11
10
11
00
01
11
10
10
00
11
10
00
01
11
10
00
10
10
01
01
10
01
00
10
00
10
00
11
10
00
00
00
00
10
10
01
10
11
10
00
10
11
00
01
11
11
00
00
01
00
10
01
00
10
11
10
11
00
01
10
00
11
00
10
10
11
10
11
01
10
11
00
01
01
00
10
11
00
00
01
10
01
00
10
10
11
00
10
10
00
10
10
00
10
10
00
10
00
00
10
10
11
10
10
11
01
00
10
00
01
00
01
00
10
10
00
10
01
10
11
10
00
11
10
00
00
10
01
10
00
00
00
10
00
10
11
00
11
10
00
10
10
10
00
00
10
01
01
00
11
01
01
10
01
01
11
11
00
11
10
10
00
00
10
10
01
01
00
00
10
10
10
10
00
11
10
11
01
00
11
10
01
01
10
01
11
00
00
00
10
10
11
01
10
00
00
10
11
00
01
00
01
00
10
10
10
11
00
11
10
00
00
11
00
00
10
10
10
10
01
10
10
01
00
00
00
00
01
01
11
10
10
11
00
01
00
00
00
11
00
10
11
00
00
00
00
10
11
00
00
00
11
11
01
10
10
10
10
00
00
01
10
10
00
00
10
00
00
10
10
01
10
11
10
10
10
01
00
00
11
10
00
00
00
10
11
00
00
10
00
00
11
10
10
00
00
00
00
11
10
01
11
01
00
00
11
10
10
01
00
11
11
00
11
00
10
10
11
00
01
01
10
10
11
11
00
01
10
10
00
01
11
00
00
01
00
00
10
00
01
10
10
11
00
10
10
11
10
00
11
11
01
11
00
00
11
01
10
00
00
10
11
00
00
10
00
01
10
01
10
10
00
00
00
10
10
10
10
00
00
01
10
11
10
00
00
00
10
10
00
00
11
01
00
01
01
10
11
10
10
00
00
11
00
11
11
00
10
00
11
01
00
11
10
00
01
11
00
10
10
00
00
01
10
11
00
10
10
00
00
00
00
10
00
10
10
11
10
00
00
01
00
10
00
01
01
10
00
10
10
10
10
01
11
00
00
01
01
10
11
00
00
10
10
10
00
00
10
00
10
10
10
10
00
10
10
10
00
00
10
00
10
00
11
01
00
00
01
11
01
10
00
00
10
11
10
10
00
01
10
10
00
10
00
00
01
01
00
10
01
00
01
10
00
00
10
10
11
10
00
01
11
10
11
01
11
00
00
01
00
00
11
01
00
00
11
00
11
01
10
11
01
00
01
10
10
01
10
11
10
00
00
00
01
11
10
00
00
10
11
11
11
00
10
00
01
10
10
10
00
10
00
10
10
00
00
11
00
01
01
00
00
10
10
00
00
10
00
00
00
00
00
10
01
00
10
00
10
10
10
10
01
10
01
00
00
00
10
00
10
10
00
01
10
10
00
10
10
10
00
00
01
10
00
00
11
10
10
00
01
01
10
10
00
10
01
00
10
00
00
10
11
11
00
10
10
10
10
01
00
01
00
10
11
10
10
01
00
01
10
00
00
11
00
10
11
00
10
11
00
01
10
11
00
01
01
00
10
10
00
01
00
11
11
00
01
00
10
10
11
11
01
00
11
00
00
00
00
11
10
01
01
01
01
10
10
00
11
01
10
11
10
00
01
10
10
10
00
01
10
10
10
10
00
00
01
00
01
10
11
00
00
00
10
10
01
10
10
00
00
10
10
00
00
11
10
00
00
01
10
01
10
10
00
11
10
11
10
10
10
00
10
00
00
01
11
01
01
00
11
01
10
01
00
10
00
10
01
11
11
00
00
01
11
11
11
00
01
10
01
01
10
10
00
00
11
11
10
00
00
10
00
00
10
11
11
00
00
10
00
00
10
10
11
10
10
00
10
00
10
11
10
10
00
00
00
11
00
00
01
10
00
11
11
01
00
10
10
01
00
00
00
10
11
11
00
11
10
00
11
11
01
00
10
00
10
00
10
10
11
01
11
10
01
11
01
00
10
10
10
01
00
00
10
10
00
00
01
11
10
10
10
10
10
00
00
01
10
10
00
11
00
01
11
11
00
11
10
10
00
00
00
11
00
00
11
10
01
10
10
01
00
10
00
10
10
10
00
10
00
10
10
10
10
00
10
00
10
10
10
11
11
10
01
11
10
01
00
10
01
01
10
00
01
11
10
00
10
11
00
00
00
10
00
00
00
01
10
01
10
00
00
00
11
10
10
01
11
10
10
10
00
00
11
00
11
10
10
10
11
00
10
01
00
00
10
00
11
00
10
10
01
00
11
10
01
11
01
01
11
11
00
00
10
10
00
00
10
10
01
00
00
00
11
11
11
10
01
10
00
01
10
00
00
11
10
00
11
00
00
10
00
00
10
00
00
11
10
00
10
10
00
00
10
10
11
10
11
00
10
10
01
00
01
01
10
00
00
01
10
11
00
10
00
10
00
00
10
00
00
00
10
00
11
00
10
00
11
01
00
00
10
00
10
10
01
01
11
00
01
00
10
11
10
11
00
00
00
10
00
00
11
10
00
01
01
00
00
11
00
10
10
10
00
10
10
01
11
10
11
00
00
10
01
00
10
00
00
01
01
01
01
10
01
01
11
11
11
01
00
11
10
01
10
10
00
10
11
11
01
01
01
00
00
10
10
00
00
00
10
10
11
00
00
11
10
00
00
01
10
01
10
10
10
00
00
10
11
01
10
10
00
01
11
00
00
00
00
11
00
10
10
01
10
10
10
00
11
10
00
10
00
00
00
10
10
11
10
00
10
01
00
00
00
11
01
00
01
10
10
00
10
10
00
00
00
10
11
00
00
10
11
11
00
01
00
00
11
11
01
00
11
11
10
01
00
01
10
10
00
00
11
00
00
11
10
11
10
10
11
00
10
10
10
00
11
11
01
00
01
00
10
10
10
00
00
00
01
00
10
10
00
00
00
00
11
11
10
11
00
01
00
01
10
01
00
11
00
00
10
11
10
01
10
11
00
10
10
10
00
00
10
10
01
10
01
01
01
00
00
11
10
00
00
10
01
10
10
10
01
00
01
00
10
10
01
00
10
11
01
10
10
11
00
11
10
00
10
10
00
10
00
00
10
01
00
00
00
10
00
10
10
10
01
10
00
11
10
01
10
10
00
00
11
10
10
01
00
10
11
00
10
01
11
00
00
11
10
00
10
11
00
10
00
01
10
00
10
10
00
00
11
10
10
00
10
10
01
11
01
00
11
00
01
00
10
10
00
11
10
00
00
00
10
00
11
10
11
00
01
11
10
00
11
01
00
00
10
10
01
11
10
00
00
10
00
00
10
00
00
01
00
01
11
10
11
10
10
01
01
11
00
11
10
00
10
10
00
00
00
10
11
00
01
10
00
00
11
10
00
00
10
11
10
00
10
01
11
10
00
01
01
01
01
00
10
10
00
01
11
10
00
01
10
10
11
00
01
11
10
11
11
00
01
01
10
11
11
01
00
11
11
11
11
11
01
01
11
10
10
01
10
11
00
01
11
00
01
00
10
10
01
00
10
01
10
11
00
00
00
10
01
01
00
01
01
10
00
00
00
00
10
10
10
10
10
01
10
11
00
01
01
00
10
11
11
10
00
00
00
11
10
00
10
11
01
10
01
00
11
00
11
00
11
00
01
01
10
10
01
10
11
00
00
10
00
00
01
10
10
00
11
01
01
00
01
01
11
10
10
00
01
00
10
11
00
01
11
11
10
10
10
01
00
01
10
11
10
00
01
01
00
10
10
00
10
10
11
01
00
10
01
00
01
10
00
00
11
00
10
00
10
11
00
01
10
00
01
10
00
10
11
00
11
00
01
01
01
00
00
01
10
10
01
00
10
10
01
11
10
11
00
11
10
00
00
10
10
00
00
11
11
00
00
10
11
00
00
00
11
11
00
10
00
11
11
00
00
00
01
10
11
10
00
10
11
10
10
10
00
01
11
00
10
00
10
11
00
00
00
11
11
10
10
00
11
10
00
10
10
10
10
10
01
01
11
10
01
00
10
00
10
10
00
10
10
00
10
01
00
00
10
01
00
01
01
11
10
10
01
01
00
10
00
00
10
10
00
10
11
00
01
00
11
00
00
11
00
00
00
01
11
00
10
10
00
10
10
00
00
11
10
01
01
10
00
10
10
00
11
10
00
10
00
11
00
00
00
00
10
00
11
10
01
00
10
10
00
01
00
00
11
10
10
11
00
01
00
11
10
00
00
00
00
11
00
00
10
10
10
10
10
00
00
00
00
11
10
01
10
10
00
10
00
10
10
01
01
11
10
11
01
01
00
11
01
00
00
10
00
10
00
00
11
10
10
11
10
01
00
00
00
10
00
10
00
10
10
10
00
10
01
00
10
00
00
00
00
10
01
00
00
11
10
11
10
00
00
00
11
00
11
10
10
00
10
00
00
00
10
00
10
00
01
01
00
10
11
00
11
11
01
00
10
11
10
10
00
10
11
11
10
10
01
00
11
11
00
00
10
01
11
10
01
00
00
00
11
10
11
00
01
00
10
00
10
11
00
00
10
10
11
10
10
01
00
00
11
01
00
00
10
10
00
10
00
01
10
00
00
10
01
10
10
00
10
10
01
00
11
00
10
11
00
00
11
00
01
00
10
10
00
01
00
10
11
01
00
10
10
11
00
11
11
11
10
00
11
10
00
01
00
00
10
01
10
00
00
10
10
11
01
01
00
00
10
11
00
01
00
00
10
10
11
00
10
11
10
00
10
10
11
00
01
00
01
00
00
10
11
11
10
01
01
10
10
10
10
11
00
01
01
10
10
00
01
10
10
01
01
10
10
00
11
00
01
01
01
00
11
00
00
10
11
01
01
11
10
00
00
00
10
00
11
10
00
00
00
00
01
01
10
00
10
10
11
00
00
10
01
11
00
01
10
11
00
00
01
11
10
00
01
10
01
10
00
00
00
11
11
01
10
10
10
00
00
10
11
00
10
11
00
11
00
01
11
10
01
01
00
10
00
11
10
00
10
01
00
10
00
10
01
01
10
00
01
10
10
00
00
00
01
00
00
11
10
01
00
10
11
00
11
00
11
10
00
10
10
00
01
01
10
11
00
10
10
01
00
10
00
00
10
01
01
01
01
10
10
01
11
11
01
00
11
10
01
10
10
00
01
10
10
00
10
10
01
10
00
01
00
00
10
10
01
10
11
10
11
10
10
00
00
10
00
00
10
10
00
01
10
00
01
11
01
01
11
11
00
01
00
10
10
00
00
10
10
00
00
10
00
01
00
10
11
10
10
01
00
11
00
00
00
11
10
00
10
11
01
00
10
10
00
10
01
11
00
01
11
11
00
00
10
10
01
10
10
00
11
11
10
01
01
00
10
01
10
10
01
10
10
10
00
00
00
10
00
00
10
01
00
01
10
10
01
00
00
10
00
00
01
10
10
11
11
11
10
10
00
10
00
01
11
11
00
10
01
01
00
00
11
10
01
00
00
11
10
10
10
10
01
00
10
10
01
10
10
00
01
00
11
00
00
10
10
00
00
10
10
00
00
11
11
00
11
10
00
10
11
00
10
01
00
10
00
00
11
10
11
01
00
10
00
00
10
01
00
10
11
00
00
00
10
01
00
10
00
10
01
10
11
11
01
10
00
00
00
00
10
00
00
10
10
00
10
10
00
01
10
10
11
01
11
10
00
00
10
00
00
00
11
01
10
10
00
10
11
10
11
01
10
11
00
00
10
10
00
00
11
11
01
11
00
10
01
01
00
00
10
11
00
00
01
00
10
10
00
10
00
10
00
10
00
10
01
10
10
11
00
00
10
10
10
01
00
10
10
01
10
11
01
10
00
00
10
10
00
00
10
11
11
11
10
10
10
00
00
00
00
10
10
10
00
00
01
10
00
00
10
00
01
00
00
10
10
01
00
11
10
01
10
01
01
00
00
10
11
01
00
00
10
01
10
01
01
10
00
00
00
11
01
11
11
10
10
10
01
01
10
00
00
11
11
10
10
00
10
11
10
00
10
11
00
00
10
01
00
11
10
00
01
01
00
10
00
11
10
11
01
01
11
10
00
01
10
01
00
11
10
00
00
10
10
01
11
01
10
01
00
01
10
00
00
11
01
10
11
00
00
10
10
00
00
10
10
11
11
10
00
00
01
00
00
11
11
00
00
10
10
10
01
00
01
00
11
00
01
11
10
00
01
00
11
10
00
00
10
00
10
00
10
10
00
00
11
10
00
10
10
10
00
10
00
00
10
01
00
00
00
10
00
00
10
01
00
10
01
11
10
00
11
01
11
11
01
00
00
11
10
10
10
11
01
00
01
11
01
00
00
11
01
00
11
00
11
00
00
01
00
10
00
01
00
00
10
01
11
10
01
00
10
10
10
10
10
00
00
00
01
10
11
10
00
00
01
01
11
01
00
00
11
00
11
00
01
10
00
01
01
11
00
01
11
00
01
01
11
10
10
00
10
11
01
10
01
10
11
10
01
11
00
00
10
11
00
00
11
10
01
00
11
10
00
11
00
10
00
10
10
10
00
00
00
10
00
00
00
01
01
00
10
10
01
10
10
01
01
10
00
00
10
01
00
10
10
00
10
00
00
11
10
10
00
00
10
00
01
01
01
10
10
10
01
10
11
01
00
10
00
10
01
10
00
01
11
00
10
01
01
10
10
10
01
10
10
10
01
00
00
11
11
00
10
10
00
11
11
11
01
00
00
00
00
11
11
00
11
01
01
10
00
01
10
01
11
10
01
00
00
10
10
01
10
10
00
00
11
00
11
00
01
10
01
01
10
01
01
10
11
10
00
01
11
11
10
10
00
00
00
01
01
10
11
00
00
00
11
10
11
00
00
00
10
11
01
00
10
11
10
00
01
00
01
01
01
11
00
00
00
00
11
10
10
00
00
10
10
11
01
00
00
10
00
00
01
10
10
10
00
00
00
00
10
11
10
11
01
01
00
11
00
00
11
10
10
10
10
00
10
01
00
01
10
00
10
01
00
10
10
10
10
00
10
00
00
10
10
00
00
10
01
01
10
11
00
11
10
11
10
10
01
01
00
00
10
10
00
10
10
01
10
10
10
10
10
10
11
00
10
10
00
00
11
11
00
00
10
10
11
11
00
10
00
11
10
10
00
00
11
11
01
00
10
10
00
01
00
11
10
00
00
01
01
10
11
10
00
01
10
00
11
10
01
10
00
00
00
10
01
11
11
00
00
00
00
10
01
10
01
10
00
00
10
11
00
10
10
00
11
00
11
10
01
00
10
11
10
00
01
10
01
01
00
10
10
00
00
10
11
01
01
11
10
00
01
10
10
00
10
00
01
00
00
00
11
00
10
10
00
01
11
11
10
11
00
00
10
10
11
00
00
11
10
10
10
10
00
00
10
01
11
11
10
00
00
00
10
10
00
01
00
10
10
11
10
00
10
01
00
01
00
10
11
10
00
11
11
00
00
10
01
00
10
01
10
01
01
00
00
00
10
00
11
11
00
00
10
10
10
11
01
10
01
00
00
00
10
10
01
10
10
01
00
01
00
10
10
11
00
01
01
10
00
00
10
11
00
10
11
10
00
10
00
00
00
10
01
10
11
10
10
10
10
00
00
10
10
10
00
00
10
01
10
11
11
01
11
10
10
10
10
01
01
10
11
00
00
10
00
11
10
01
10
00
00
10
10
01
00
11
10
10
11
01
00
11
10
00
00
11
00
11
00
01
00
10
01
01
10
10
10
00
00
00
01
11
10
10
11
00
10
00
00
00
00
10
10
01
01
10
10
10
00
10
00
00
00
10
00
11
11
11
00
01
11
00
01
10
10
01
00
10
00
00
10
10
00
01
10
11
01
10
01
00
10
01
00
10
10
10
00
11
01
01
10
00
01
00
11
10
10
10
00
10
00
00
11
00
00
01
00
10
00
00
10
00
10
11
00
01
01
01
11
11
10
11
01
00
00
10
10
00
11
10
01
01
10
00
00
10
11
10
01
10
11
00
10
01
00
10
01
10
10
10
01
01
10
11
01
00
00
11
00
10
10
10
11
00
01
01
11
00
00
10
01
10
00
10
10
00
10
11
01
01
11
01
01
01
10
10
11
01
00
11
01
11
11
00
10
10
11
00
00
01
11
00
00
00
10
10
10
00
10
00
01
01
10
01
01
11
10
01
11
01
10
10
01
00
11
11
00
10
11
11
01
00
10
10
00
00
10
00
10
10
01
00
00
00
11
11
00
10
01
10
01
10
10
00
00
11
10
11
10
01
01
11
01
01
00
10
11
11
01
01
11
00
00
10
10
01
00
10
10
00
00
01
10
10
00
00
10
10
01
10
11
11
00
11
00
10
01
11
10
10
00
00
00
00
10
00
01
01
11
10
11
10
10
11
10
10
01
00
11
01
00
11
11
11
10
11
00
11
10
00
10
10
10
00
10
11
10
10
00
00
11
10
00
01
10
00
10
11
00
10
01
11
00
11
01
11
11
10
11
10
10
00
01
10
11
01
01
00
01
00
01
00
11
11
01
10
11
00
00
00
11
10
00
01
11
01
00
00
00
10
11
00
00
10
00
00
10
01
11
10
00
01
00
00
11
10
01
11
11
11
00
00
00
11
10
10
01
00
01
10
00
01
01
10
10
00
01
11
00
00
00
00
10
10
00
00
11
10
00
00
00
10
10
10
10
11
00
10
00
11
01
10
00
00
10
10
00
01
10
11
10
00
01
11
11
00
01
11
01
11
10
00
00
00
10
01
00
11
00
11
11
01
11
00
10
10
01
10
00
01
10
11
00
01
10
01
01
11
10
00
00
10
01
11
10
00
00
01
11
00
10
00
10
00
10
10
10
01
00
10
00
00
01
11
10
00
00
10
01
01
11
10
00
10
01
10
00
00
10
10
01
00
11
01
00
01
00
00
00
11
10
10
01
01
01
10
01
10
11
10
00
01
10
11
00
11
10
10
00
10
10
11
00
00
10
00
00
10
10
00
11
00
01
10
01
01
10
00
00
01
10
11
10
00
11
00
01
00
00
10
00
01
10
10
10
10
01
01
01
10
01
11
11
00
01
00
11
00
00
10
11
00
00
11
10
10
10
00
11
11
10
11
10
00
10
00
01
00
01
10
11
00
10
00
10
01
10
00
00
00
00
01
10
00
10
10
11
10
00
10
10
10
01
11
00
00
10
11
01
00
10
10
00
10
11
00
10
10
11
00
10
01
10
11
01
01
00
01
00
10
00
11
00
00
00
11
10
10
10
00
01
10
00
00
10
10
10
11
10
01
01
00
00
10
10
00
10
10
11
00
10
01
00
01
00
00
11
11
00
00
00
10
01
00
00
10
11
00
01
00
00
11
10
10
10
00
00
00
11
01
11
11
10
00
10
10
01
00
10
00
00
11
11
01
10
10
10
10
10
00
00
10
00
00
01
01
00
00
11
10
00
01
10
10
01
00
11
10
01
10
00
10
10
11
01
00
00
10
11
01
00
01
11
00
00
00
10
11
00
10
00
00
11
10
00
00
10
00
01
10
00
10
01
01
01
11
10
00
11
00
00
11
10
01
00
10
11
11
00
00
00
11
11
10
01
00
10
11
00
00
00
11
10
11
00
11
00
11
10
11
00
10
11
00
01
11
10
00
01
00
10
10
00
10
11
11
10
10
10
01
10
11
00
10
10
00
00
00
11
11
00
00
00
10
11
00
01
00
10
00
00
11
00
11
10
00
00
10
00
01
01
10
00
00
11
11
01
00
00
10
11
10
11
00
01
10
11
11
00
10
10
11
01
00
11
01
00
10
00
10
11
00
01
00
10
01
00
01
00
00
10
11
00
10
00
01
11
10
01
11
10
00
01
10
10
00
00
00
00
00
11
01
00
10
10
01
00
10
10
10
01
00
01
00
01
00
01
10
00
01
11
11
00
00
10
10
00
10
10
00
00
00
00
10
00
00
00
00
00
00
11
10
01
01
00
00
10
10
00
10
01
11
00
01
10
00
00
00
11
01
00
10
00
10
11
11
00
10
01
10
00
00
00
00
00
00
11
10
00
11
10
01
00
00
01
10
00
00
00
10
00
11
11
00
10
00
10
01
10
10
00
11
11
01
10
10
10
10
00
00
00
01
10
00
10
10
01
11
10
11
00
10
01
10
10
10
01
00
00
10
01
00
10
10
10
11
01
11
10
11
10
01
10
00
01
10
10
01
10
10
01
00
10
11
01
00
10
10
10
11
11
10
00
10
00
10
00
00
10
00
00
11
00
00
10
00
01
00
11
11
01
01
00
00
00
00
10
11
00
01
10
00
10
10
10
10
00
10
00
10
10
00
01
10
11
10
00
11
11
00
01
10
01
00
10
01
10
00
00
10
10
00
11
00
11
10
01
10
10
01
10
10
00
10
10
11
10
01
00
10
01
01
10
01
01
01
00
11
10
00
01
10
11
00
10
10
01
10
10
10
10
01
00
11
00
10
10
10
00
00
11
00
11
00
10
01
10
10
10
00
01
01
00
10
10
00
00
10
00
00
10
10
00
01
10
10
10
10
10
01
00
00
01
00
00
11
01
00
11
11
11
00
10
10
00
11
11
10
00
00
00
11
10
01
10
00
01
00
10
00
00
10
10
00
10
10
10
10
00
00
11
01
00
10
00
00
10
10
00
00
10
10
10
00
00
10
00
10
00
00
11
01
10
11
00
01
10
01
10
01
00
11
11
01
00
11
11
11
00
00
01
11
11
00
00
11
10
10
11
10
00
10
10
00
00
00
10
00
00
10
10
01
10
10
01
01
01
11
11
10
11
11
00
01
10
10
00
11
10
00
00
00
00
10
10
10
00
01
11
01
01
10
10
00
00
00
10
10
10
01
00
10
11
11
01
10
10
10
10
00
11
00
01
11
00
00
00
11
11
10
11
01
00
01
11
10
10
10
00
01
00
11
11
00
10
10
10
00
00
10
11
01
00
01
10
10
10
00
10
00
00
11
00
00
10
00
10
10
11
01
00
10
11
00
01
00
11
10
00
01
00
00
00
11
10
11
10
11
10
00
01
11
00
00
01
11
10
00
01
00
11
11
11
01
00
01
00
00
10
00
01
11
01
00
10
10
00
00
11
10
01
10
10
10
00
10
01
01
11
10
00
01
00
01
10
00
01
11
10
10
00
11
01
10
11
10
10
00
00
01
01
10
11
01
10
00
00
10
00
11
00
10
10
10
10
00
01
11
11
00
00
11
00
00
10
10
01
01
10
01
00
00
11
10
10
10
10
01
01
10
00
00
00
00
01
10
10
11
00
10
10
11
10
10
11
00
01
10
10
10
10
10
00
11
00
10
10
10
10
00
01
00
11
10
10
01
11
00
01
10
10
10
00
00
11
10
00
00
00
00
10
00
10
00
10
11
00
00
00
10
10
10
11
10
10
10
00
01
10
00
00
00
10
00
01
11
11
10
01
01
00
11
11
10
10
10
00
00
00
11
00
01
10
00
01
01
10
10
11
01
10
11
11
10
00
10
00
01
11
10
10
11
10
00
10
11
10
00
11
01
10
11
10
10
00
00
00
00
10
10
01
00
00
10
10
00
00
00
11
10
10
11
00
10
10
11
11
00
01
00
10
10
00
00
10
00
11
10
10
01
00
01
01
01
10
00
10
10
01
10
00
00
11
01
01
01
00
10
10
01
00
01
10
01
10
11
10
11
00
00
00
10
10
01
01
11
10
11
00
00
10
11
01
01
11
01
11
10
01
10
01
01
11
00
01
10
10
00
00
11
11
01
00
00
10
10
10
11
01
00
11
01
10
00
00
10
00
00
00
11
10
10
01
10
10
10
01
00
10
10
00
01
10
10
10
11
11
00
11
10
10
10
11
01
00
10
10
11
00
00
10
01
01
01
00
11
10
10
10
00
10
11
11
11
10
10
10
10
00
10
00
00
10
10
11
10
10
01
00
10
00
01
10
01
01
00
00
10
01
10
00
01
11
10
00
10
00
10
00
00
11
10
10
11
00
10
00
10
11
00
11
10
01
11
11
00
00
00
11
10
01
00
01
10
10
00
10
10
00
10
10
00
00
11
00
00
10
10
10
00
11
00
00
11
10
10
00
00
10
10
10
10
00
10
00
10
10
00
10
00
00
10
01
01
10
10
10
01
11
01
00
10
10
01
00
10
11
00
01
10
10
10
00
00
01
00
11
10
11
00
10
01
00
11
11
00
00
00
01
11
11
10
11
11
10
01
01
00
00
10
01
00
00
10
10
10
10
11
00
10
10
00
10
01
11
11
01
00
01
00
01
11
00
01
11
00
00
01
11
10
00
00
00
00
11
01
11
10
10
11
00
10
00
00
10
01
11
11
01
10
10
11
00
00
11
00
01
11
00
00
00
10
00
10
00
11
10
01
10
10
00
01
10
10
01
00
01
11
00
00
00
11
11
00
00
10
10
10
00
01
01
00
10
10
10
00
00
10
10
00
00
10
00
10
00
11
00
00
01
11
10
11
11
01
00
10
00
10
10
00
10
11
10
00
00
00
10
00
11
01
11
11
11
10
11
10
11
10
00
01
10
11
00
00
01
10
10
10
00
10
10
00
10
00
01
00
10
01
01
10
10
11
00
00
11
10
11
01
00
01
00
01
00
00
10
10
10
00
00
10
00
01
00
00
10
10
00
10
00
10
10
00
11
11
10
10
10
10
01
00
11
11
01
01
10
00
00
10
10
00
01
10
01
01
11
00
00
10
01
01
10
11
00
00
11
00
10
11
00
01
00
11
11
01
11
10
00
10
11
11
11
00
00
10
10
10
00
01
10
11
10
00
10
10
01
10
11
00
11
00
00
00
00
00
10
01
00
00
10
11
11
00
10
11
10
01
00
00
10
10
10
10
10
01
11
10
11
01
00
00
00
00
11
00
00
00
00
00
00
00
10
11
10
00
01
01
01
01
10
01
00
11
00
01
11
01
01
11
00
01
01
10
11
10
10
01
10
10
00
01
10
11
00
10
01
00
01
11
00
00
00
10
10
10
00
10
10
11
00
00
10
10
00
00
00
00
00
10
10
01
00
11
10
00
10
10
01
10
00
10
00
11
00
10
10
01
00
00
00
11
11
01
01
10
00
00
01
11
10
00
10
00
10
10
00
00
11
11
01
00
11
10
00
00
11
00
10
11
00
00
00
10
11
01
01
10
11
10
00
10
10
10
10
10
00
00
10
01
10
01
10
10
11
00
11
10
10
00
01
10
10
10
00
01
10
01
00
10
00
10
00
01
10
10
10
10
10
00
01
10
10
10
00
01
10
01
11
00
00
00
00
00
00
10
11
00
00
11
00
10
00
00
01
10
11
10
00
00
11
00
10
00
00
10
01
10
10
01
01
00
01
00
00
10
00
10
10
00
00
11
10
00
11
10
01
10
10
00
00
10
11
00
10
00
01
10
10
00
10
10
01
10
01
10
00
00
00
11
00
00
11
00
10
10
00
10
10
01
01
11
10
01
00
00
00
10
00
10
11
10
10
00
01
00
10
10
00
10
10
00
11
10
10
01
10
11
00
10
00
10
01
10
01
00
11
10
00
11
00
00
10
11
11
10
00
10
10
10
10
00
01
10
10
10
10
10
01
01
10
00
11
10
01
00
10
00
11
00
00
00
10
10
11
00
00
11
10
01
11
01
00
01
00
11
11
11
00
00
11
00
10
10
10
11
00
01
11
00
00
10
00
11
01
10
01
00
00
11
11
00
10
00
10
10
00
01
11
01
00
01
00
00
01
01
11
11
00
01
00
10
00
10
11
00
00
11
01
11
01
10
10
00
00
00
10
10
00
00
01
11
00
10
00
11
10
10
01
00
11
01
00
01
11
11
10
01
00
01
11
11
11
00
01
00
11
10
01
00
00
00
01
10
10
00
10
01
00
00
01
10
11
10
11
11
00
10
11
11
00
01
00
10
10
10
10
00
00
00
00
11
11
00
01
10
10
10
11
00
11
10
00
00
10
00
00
00
10
01
10
11
11
11
00
00
10
01
01
10
11
00
10
10
00
00
01
00
11
10
00
00
10
10
11
00
01
10
00
01
00
10
00
11
10
11
00
10
00
11
10
10
10
00
10
10
10
00
01
11
01
10
00
10
01
00
00
11
10
10
10
10
00
00
11
00
01
10
11
00
01
10
11
10
01
00
01
10
10
11
01
11
00
00
11
00
00
10
11
00
00
10
01
00
11
00
10
10
01
00
01
11
11
00
00
10
00
10
00
11
11
00
01
00
10
00
11
00
00
00
11
10
11
10
10
10
01
10
11
00
01
00
10
00
00
01
10
00
00
10
10
10
10
00
11
11
01
10
00
11
01
01
10
00
10
11
01
00
10
11
00
10
01
00
01
11
10
00
10
00
00
11
10
01
01
00
10
00
00
10
10
10
11
10
00
00
11
00
01
00
11
00
01
10
10
10
00
10
11
00
01
00
11
10
11
10
00
11
10
10
11
00
00
10
00
10
11
00
01
10
00
10
10
01
10
00
11
00
00
00
00
00
11
11
01
10
10
00
00
10
11
00
00
01
00
11
11
01
10
01
01
01
01
00
10
10
10
10
10
00
00
00
10
10
10
01
00
00
11
10
10
00
10
11
01
10
00
01
10
10
10
01
10
10
00
10
01
10
10
00
01
00
00
00
11
00
01
00
00
10
00
10
01
10
10
00
10
11
00
11
01
01
11
00
00
11
10
00
00
00
11
00
01
01
00
10
10
10
00
01
10
11
00
00
00
11
00
01
10
10
00
00
11
00
10
10
11
10
01
01
10
11
10
00
00
11
10
01
10
00
01
10
10
10
11
00
00
11
10
00
01
01
11
00
10
11
00
10
00
00
10
10
00
11
10
00
11
10
11
01
10
00
10
00
00
00
10
11
00
10
00
11
10
00
00
11
00
10
01
10
00
01
00
00
01
00
10
11
00
00
00
00
11
00
11
00
10
10
00
11
10
10
00
10
01
10
10
11
01
01
00
11
10
10
01
00
00
10
00
00
01
11
00
01
10
01
11
00
00
01
00
10
11
00
11
00
00
10
10
00
10
01
00
11
10
01
10
00
01
10
00
00
10
00
00
00
10
01
00
11
01
00
11
10
01
00
10
10
00
01
11
10
00
10
10
10
00
00
10
11
00
10
00
00
10
00
00
10
01
10
00
10
00
00
11
11
10
10
10
10
00
00
10
10
01
00
00
10
10
10
10
01
00
01
10
10
10
01
11
01
10
11
00
11
10
01
01
11
11
00
00
11
11
01
00
11
11
00
11
00
10
00
01
10
01
00
10
01
11
10
01
00
10
10
10
01
00
10
10
00
11
01
00
00
01
10
10
10
11
10
01
00
10
01
11
10
10
10
01
10
10
01
10
10
10
10
01
11
10
00
00
10
01
10
10
11
11
00
11
01
10
01
10
10
00
10
10
00
00
10
00
00
10
11
00
00
10
00
00
00
00
00
01
10
11
00
10
01
01
01
01
10
01
00
10
01
11
11
00
11
10
11
10
10
00
00
10
10
01
00
10
10
00
10
10
00
00
01
11
00
01
00
00
10
10
00
11
00
00
10
11
10
00
00
11
00
00
10
00
01
10
00
10
00
01
10
00
00
01
01
10
11
10
00
00
10
01
01
11
01
10
10
10
00
11
10
01
01
10
11
10
00
00
10
11
10
00
01
11
10
00
00
10
11
00
00
00
10
01
10
00
00
00
10
10
10
00
10
11
11
11
10
10
11
11
11
10
00
01
10
10
10
00
00
10
11
00
10
11
01
10
00
10
11
00
00
00
10
11
10
10
00
10
10
11
00
00
01
11
10
10
01
10
10
00
01
00
00
01
11
10
10
00
00
11
00
00
11
10
00
00
00
01
11
10
10
00
00
00
01
01
11
11
00
11
00
00
10
00
00
00
10
10
10
00
00
10
11
10
00
00
11
01
00
00
11
01
10
01
10
10
00
00
10
10
11
00
10
01
00
10
01
00
10
01
01
10
10
01
00
11
10
00
00
00
00
10
10
10
10
00
11
11
10
00
10
00
00
01
00
10
10
01
00
00
00
10
00
10
10
01
11
00
00
10
01
11
10
11
00
10
11
10
00
01
00
11
00
10
10
10
00
00
10
10
00
11
10
00
01
10
01
10
11
00
00
00
11
00
00
11
11
10
11
10
11
00
01
10
00
11
11
00
00
11
11
01
00
01
00
00
11
00
10
10
00
10
01
00
10
10
00
00
00
10
10
10
00
01
11
10
00
10
10
00
10
10
11
00
01
11
11
10
00
00
01
10
10
10
00
00
10
00
10
00
01
10
11
10
10
00
10
10
11
01
00
10
01
11
01
01
00
10
10
00
10
00
10
11
00
00
10
00
11
10
01
10
00
00
10
11
01
10
11
10
10
01
00
01
00
00
10
10
00
10
10
00
00
11
10
10
01
10
11
00
00
00
01
01
10
10
00
01
10
10
10
10
10
00
10
00
01
11
01
01
01
11
01
10
11
10
10
00
00
00
11
11
00
11
10
11
00
01
10
00
10
10
10
00
11
10
00
00
10
00
10
11
00
10
10
00
00
10
01
10
00
11
01
01
00
01
11
10
00
10
10
00
10
01
00
00
11
00
01
00
01
10
01
10
11
00
10
00
10
00
10
00
01
10
00
00
00
11
10
00
00
10
00
11
11
00
01
00
11
11
00
10
10
11
01
01
10
10
01
00
01
00
10
10
10
10
01
10
11
00
10
11
10
00
01
00
01
10
00
00
00
00
01
10
11
10
10
11
01
00
10
10
01
00
00
00
11
00
10
00
00
10
10
01
11
10
10
00
00
00
10
10
11
00
00
00
10
10
00
00
01
10
11
00
10
10
10
00
10
10
01
10
00
10
10
10
00
01
11
00
01
10
10
00
00
10
10
00
01
00
11
01
10
10
10
01
00
11
10
11
10
00
00
00
11
01
11
10
10
11
10
11
11
00
11
00
10
00
00
10
10
00
00
00
01
10
10
00
00
10
10
00
00
11
10
11
10
10
11
10
00
10
10
01
10
11
01
10
00
01
10
11
11
00
10
11
00
10
00
10
01
00
10
10
11
01
11
00
10
10
01
01
00
10
10
10
00
11
10
00
00
00
00
00
10
10
01
01
11
10
00
11
10
11
00
00
00
01
10
10
10
01
10
00
00
10
01
01
00
10
10
00
01
10
10
11
10
00
00
00
00
01
10
00
11
11
10
00
11
11
00
00
10
11
00
00
10
10
11
00
00
00
00
01
00
11
10
01
11
10
00
11
00
11
10
00
01
00
00
11
01
00
10
10
01
00
11
10
00
00
00
00
10
10
11
01
10
10
01
11
01
00
01
00
10
10
10
01
00
00
10
00
00
10
11
00
01
11
01
00
00
10
00
00
00
01
11
10
00
11
00
10
00
10
10
11
00
10
00
10
01
01
00
10
10
00
10
00
11
00
11
01
00
10
10
01
00
11
01
10
11
10
01
00
00
11
10
01
10
00
01
10
11
00
10
11
11
00
10
10
01
00
10
00
10
01
01
01
10
10
00
01
01
00
00
10
11
00
10
11
11
00
00
00
10
00
00
10
00
11
10
11
00
01
10
10
10
01
11
10
10
00
10
10
01
10
00
11
00
11
00
00
10
01
10
00
11
00
01
00
10
01
10
11
00
10
01
01
00
10
10
00
10
00
10
01
10
10
11
00
10
00
10
11
00
11
00
01
00
10
11
11
11
00
10
10
11
11
00
10
01
01
10
10
11
01
00
10
10
00
11
11
01
10
11
00
11
11
00
10
11
10
10
11
00
10
11
10
01
01
10
11
00
00
00
10
10
01
00
10
01
10
00
00
10
00
01
00
10
10
10
10
00
00
10
11
00
11
00
00
10
11
00
00
10
10
01
00
11
00
10
11
10
00
10
10
00
01
11
00
01
11
00
00
00
10
11
00
01
00
11
10
01
10
00
11
01
00
10
01
10
10
10
01
00
00
10
00
00
00
10
11
10
10
10
00
00
00
00
00
10
10
01
01
00
10
10
11
01
00
00
10
11
00
10
00
11
10
10
10
11
00
01
10
00
10
01
00
11
00
01
00
01
11
10
10
10
00
00
11
10
00
00
10
01
10
01
00
01
11
10
11
00
11
10
11
00
01
10
11
11
00
00
11
11
01
01
00
11
00
10
10
00
00
10
10
00
00
11
10
10
01
01
00
10
00
10
00
10
11
00
01
00
01
11
00
11
00
10
11
11
00
01
11
00
01
11
00
11
10
00
00
01
10
00
00
10
10
01
00
01
01
10
10
10
10
01
10
10
00
10
00
11
00
01
01
00
00
00
00
10
01
10
10
10
10
10
11
10
00
00
00
00
00
00
00
00
11
10
11
00
11
10
10
11
11
11
00
01
10
11
00
10
11
00
01
11
11
10
10
10
10
00
10
01
00
10
00
11
01
11
10
00
10
01
10
11
00
01
10
10
00
00
01
11
10
11
10
01
11
10
00
10
11
00
00
10
10
00
01
00
01
00
01
00
00
10
00
10
10
11
10
10
11
00
10
01
00
01
00
01
10
01
01
00
11
01
00
11
10
01
10
10
00
10
11
10
00
00
00
10
10
00
00
00
01
00
11
10
00
11
11
11
01
10
11
01
00
01
00
10
00
00
10
00
11
10
11
10
00
00
10
00
01
10
01
10
10
00
00
10
10
10
00
00
10
00
10
10
10
10
10
10
01
01
10
10
01
01
11
00
00
11
10
10
00
01
10
11
00
01
01
10
10
00
10
10
00
00
00
00
00
10
01
00
01
10
10
11
01
00
00
00
10
10
00
00
11
00
00
00
01
11
10
00
00
11
10
11
00
01
11
01
10
10
10
00
00
11
10
00
01
01
01
00
10
10
00
10
00
01
11
11
11
10
10
10
00
10
10
00
01
00
10
01
11
00
01
10
01
01
10
00
10
11
00
10
11
10
01
10
00
00
11
11
10
00
01
10
00
00
10
10
10
00
00
00
00
11
10
10
00
10
10
01
00
10
01
10
11
10
01
01
10
11
10
11
00
00
10
11
00
00
11
10
10
10
10
10
10
00
00
00
10
00
00
01
10
10
11
00
00
01
01
10
00
01
10
01
10
01
10
10
00
01
10
00
00
10
00
11
10
01
00
11
10
10
10
10
10
10
11
00
01
10
00
01
10
11
10
11
00
00
00
10
00
00
01
11
11
00
11
00
01
01
10
11
10
10
00
10
10
10
00
00
10
11
00
00
10
00
00
01
11
10
10
00
00
00
11
00
11
10
01
00
11
01
00
01
00
11
11
00
00
10
00
11
00
10
11
01
01
11
01
00
11
11
11
00
00
11
10
00
01
10
10
11
01
10
00
00
10
11
10
00
11
11
00
00
00
00
00
10
10
01
00
11
10
10
10
11
00
00
00
11
01
00
10
10
10
10
00
01
11
10
10
00
10
10
00
00
01
00
10
00
00
11
01
11
10
01
10
00
00
10
11
01
10
00
00
11
10
00
10
11
00
00
01
01
11
00
00
00
00
00
00
10
11
00
01
10
00
00
00
10
10
10
00
00
00
10
00
11
00
00
00
10
10
10
10
00
10
01
11
10
01
01
10
11
00
00
01
10
10
00
01
11
00
11
10
11
00
10
01
00
01
10
10
00
00
00
00
01
10
11
10
10
01
11
00
10
10
00
11
10
10
10
01
10
00
01
11
01
01
00
00
00
00
01
11
00
00
01
11
00
10
11
00
00
10
00
01
10
00
11
10
00
01
00
01
00
10
01
00
10
00
00
10
11
01
10
01
11
10
00
00
10
00
01
10
00
10
10
00
11
10
10
00
00
10
10
10
00
00
11
00
01
11
10
10
00
01
01
10
10
01
01
10
01
11
11
11
00
00
11
11
10
00
01
11
10
01
10
11
10
00
00
11
00
00
10
11
10
00
00
10
11
00
00
00
10
10
11
11
10
01
00
10
10
11
11
00
00
10
00
00
10
10
00
10
10
01
10
00
10
10
11
00
01
10
11
10
00
00
11
00
01
10
11
01
00
00
11
00
00
10
11
00
00
00
11
10
10
10
10
00
01
00
10
10
01
00
00
10
11
00
00
10
00
10
10
00
11
01
11
10
01
11
00
10
10
10
01
10
11
00
01
00
10
11
00
01
11
00
00
00
10
10
00
00
10
10
01
00
11
00
00
00
10
01
00
10
10
00
00
01
00
00
10
11
00
10
00
00
00
00
10
10
00
10
00
01
10
00
10
10
11
01
01
10
00
11
10
00
00
00
10
10
10
11
00
01
00
10
00
00
01
10
10
00
10
00
01
11
10
01
01
10
10
01
00
10
00
01
00
10
11
11
10
00
00
00
01
00
11
00
00
11
10
10
11
01
00
00
10
11
10
00
00
01
10
01
00
10
10
10
10
00
00
00
10
11
00
01
01
00
10
10
10
00
01
00
10
10
10
00
10
00
00
00
10
01
10
11
11
00
10
10
00
01
10
00
10
00
10
10
01
10
10
00
00
00
10
10
10
01
10
10
00
01
01
00
00
10
11
00
01
10
01
00
00
10
10
00
01
10
11
00
00
00
10
00
01
00
10
00
10
00
01
11
11
10
10
10
11
00
00
00
11
01
00
00
11
10
10
00
01
10
10
00
10
00
11
10
00
00
10
00
01
10
10
00
00
00
01
11
11
00
10
10
00
10
01
10
10
10
00
00
10
10
00
10
00
01
01
01
11
01
10
10
00
11
00
01
10
10
01
11
01
01
01
10
00
11
11
11
00
01
10
01
00
00
00
11
00
00
01
10
10
00
10
11
10
10
01
10
10
10
11
00
01
01
10
11
00
01
10
00
00
11
10
00
01
10
10
00
01
00
11
01
11
10
11
10
01
00
00
11
10
11
00
10
10
01
00
00
00
10
11
00
11
00
10
11
11
10
10
00
01
01
00
00
00
00
11
11
11
10
10
10
10
00
00
10
00
00
11
01
11
10
10
11
00
10
01
00
10
11
00
00
10
11
00
10
00
10
01
00
00
00
10
00
01
00
01
10
00
10
10
10
01
10
10
00
10
01
10
00
01
10
00
00
11
10
10
10
00
01
10
10
10
00
00
00
00
00
00
10
10
11
10
01
10
11
01
01
11
10
10
00
00
00
10
10
11
00
00
10
00
00
11
10
01
01
00
10
00
10
10
10
00
00
11
10
00
10
00
11
11
00
10
11
00
11
10
00
00
10
10
10
11
01
00
10
11
10
10
00
00
10
00
01
01
01
10
00
10
00
01
10
11
10
00
00
10
00
00
10
10
11
00
01
01
00
01
10
00
00
10
00
10
10
00
00
00
10
10
00
10
00
00
11
00
00
00
10
10
10
00
00
01
11
01
01
10
10
00
00
10
00
01
10
00
10
00
00
10
10
10
10
00
10
11
11
11
11
00
01
00
11
10
11
01
11
00
00
11
10
11
00
01
10
11
00
00
01
10
10
00
11
00
00
00
10
11
11
00
00
00
10
11
00
00
10
01
01
10
10
10
00
00
00
00
11
00
00
11
01
00
00
10
10
00
00
00
10
10
00
01
00
10
10
01
00
10
10
10
00
00
01
10
10
00
01
00
01
10
11
01
00
01
01
11
10
10
00
01
11
10
10
01
10
10
00
10
11
11
10
01
00
10
10
00
00
10
00
10
01
00
00
00
00
00
01
10
01
11
10
11
00
00
00
01
10
00
00
00
01
10
10
11
10
10
00
00
11
10
00
00
10
11
10
01
00
10
10
11
00
00
01
10
00
01
10
10
00
10
10
01
00
00
10
10
01
10
11
00
01
00
11
10
01
10
10
01
11
00
01
01
10
01
00
00
11
10
01
00
11
10
01
10
11
00
00
00
10
00
00
00
00
11
10
11
11
10
00
10
10
00
00
10
11
11
10
00
00
10
10
10
00
00
01
10
11
11
10
10
10
01
00
01
10
10
00
11
10
10
10
01
00
00
01
00
00
00
10
10
00
11
00
10
10
00
11
00
10
10
00
00
00
10
00
00
00
11
10
10
00
10
11
10
10
01
00
00
00
00
01
00
11
11
00
00
00
10
10
10
01
10
10
01
01
01
00
00
01
00
10
11
00
11
10
10
11
01
10
00
10
00
00
11
10
11
10
00
00
01
10
00
00
10
10
11
00
00
11
11
10
11
10
00
10
10
00
10
01
10
00
00
10
00
10
01
01
00
00
01
01
00
10
00
01
10
00
11
10
10
01
10
10
01
01
10
00
01
11
10
00
10
00
11
10
01
00
01
00
11
00
00
00
00
00
10
00
10
10
00
11
00
10
01
00
01
01
01
10
11
11
10
10
10
01
10
10
01
00
00
00
10
10
11
10
01
10
10
01
10
11
11
00
00
00
01
11
11
01
00
10
00
10
11
00
00
10
10
10
01
01
01
10
10
00
10
10
00
01
10
01
01
01
10
00
00
10
00
11
10
00
01
10
10
00
00
00
11
01
00
11
01
11
01
00
11
10
00
00
10
00
10
01
11
00
10
00
10
00
10
11
10
00
11
10
00
10
11
00
00
11
10
11
11
00
10
10
00
10
10
00
11
10
00
00
10
11
10
00
10
10
01
00
11
10
01
00
01
10
10
00
00
00
00
00
10
01
01
10
10
00
00
10
01
00
10
10
01
01
00
10
10
10
10
10
01
00
10
01
10
01
11
00
01
00
00
10
10
00
01
01
11
10
10
10
01
11
10
00
00
00
00
11
10
11
01
10
10
00
10
00
10
11
00
00
00
10
11
10
00
01
00
10
00
00
10
00
10
11
00
10
00
11
01
01
00
00
00
10
10
00
00
11
11
01
11
01
10
10
00
10
10
00
00
10
01
00
00
10
10
11
10
11
10
10
00
00
10
10
11
00
10
10
00
00
11
01
00
00
11
11
10
00
11
10
11
01
00
10
10
10
01
11
00
01
00
10
10
10
01
00
10
10
11
10
10
01
11
01
01
10
11
00
10
10
00
00
10
11
01
11
01
01
10
10
00
10
01
00
11
10
00
01
01
01
10
01
00
11
10
00
10
11
00
01
10
10
01
10
01
10
01
00
10
10
10
10
10
10
01
00
00
11
10
01
00
11
00
00
11
10
10
00
01
01
00
10
10
10
01
00
00
10
01
10
10
10
10
10
01
00
01
01
11
11
01
01
11
10
00
10
10
00
00
10
11
00
10
10
10
11
00
10
00
00
10
10
11
00
10
00
10
00
00
01
11
00
10
11
10
10
10
00
01
00
00
10
01
10
00
00
11
10
01
11
01
01
11
01
01
10
11
01
00
00
11
10
10
11
00
11
00
11
10
00
01
00
00
11
00
01
10
01
01
00
10
10
01
00
11
00
10
01
00
11
10
01
01
11
01
00
10
10
10
00
10
10
10
10
01
00
01
00
11
01
11
10
01
01
01
00
11
10
11
10
01
00
10
00
00
10
10
10
01
11
00
01
10
11
11
11
01
00
00
01
10
10
10
00
00
10
01
10
10
00
10
10
10
00
00
01
11
10
00
01
10
01
11
10
00
11
01
00
00
11
00
00
00
01
10
11
01
11
10
00
11
00
01
11
10
11
10
01
00
01
11
00
00
10
10
01
00
10
00
01
00
10
01
10
11
10
00
00
11
00
10
00
10
11
11
11
00
10
11
01
11
10
10
00
11
10
11
00
00
00
00
00
00
11
10
00
10
10
11
00
00
10
10
11
00
01
00
10
00
10
00
11
01
10
10
10
10
11
11
00
10
10
00
10
10
10
11
00
01
00
00
01
10
11
10
00
10
00
10
10
10
00
00
00
11
10
00
11
01
10
01
00
01
11
00
10
11
00
01
00
11
01
00
01
10
10
10
01
10
10
10
10
10
01
10
00
01
10
10
10
01
00
01
10
00
00
11
01
00
10
10
10
00
00
10
10
00
00
01
10
00
01
10
01
00
10
10
00
00
01
10
10
00
10
01
10
01
01
00
00
10
11
00
00
10
01
10
11
11
01
00
10
10
11
00
00
10
11
00
10
00
00
00
10
10
00
00
00
01
10
11
00
00
00
01
00
10
10
10
00
10
01
10
01
00
10
11
11
10
10
00
00
00
11
10
10
00
00
11
01
00
10
00
01
10
10
11
10
10
01
10
00
01
11
01
00
11
10
00
00
00
10
10
11
00
10
10
01
00
11
00
10
11
00
11
00
00
01
00
10
10
10
10
01
11
00
00
10
10
10
00
10
00
10
11
01
10
11
10
00
00
10
00
00
00
11
10
01
10
11
01
01
11
11
00
01
11
10
00
10
10
10
00
00
00
11
10
11
11
00
00
10
10
00
01
10
10
11
00
01
10
01
01
00
01
10
11
00
10
10
11
10
11
00
00
00
10
11
01
10
00
10
10
11
01
00
10
00
00
00
10
10
10
11
10
10
10
10
00
11
01
00
10
01
00
00
11
00
01
11
01
10
11
00
00
10
00
10
00
00
10
01
11
01
11
00
10
10
00
10
00
00
10
01
11
01
11
01
00
10
01
00
10
10
11
10
00
11
00
00
00
00
10
01
01
00
01
11
11
00
00
11
10
11
01
00
10
00
11
10
00
00
00
11
00
10
10
01
00
11
10
11
10
00
00
00
00
11
10
00
00
10
10
10
11
01
10
10
10
10
01
10
11
00
00
00
01
10
10
10
00
00
10
11
10
00
11
10
00
00
00
10
10
11
01
10
00
00
01
00
10
00
10
10
10
01
00
11
10
00
11
11
00
11
11
10
11
10
00
01
10
11
10
10
01
00
10
11
00
00
00
00
10
00
00
01
00
10
10
10
01
00
00
00
10
00
10
01
00
10
00
10
10
10
11
11
01
00
11
01
00
11
10
00
11
10
01
00
01
10
11
10
10
00
00
00
11
11
10
00
00
10
01
10
00
10
11
10
11
00
01
10
10
10
00
01
10
10
00
01
00
00
10
10
01
10
11
00
10
10
10
10
01
00
11
10
00
10
10
00
00
10
10
01
10
00
00
00
11
00
00
11
00
10
10
10
00
00
10
00
10
10
00
00
10
00
00
00
01
10
00
01
10
10
01
10
10
10
01
10
00
10
10
10
10
00
10
11
00
11
00
00
10
01
00
10
00
00
00
10
01
00
10
00
10
11
00
00
10
00
01
01
01
11
11
01
01
10
10
01
00
11
10
00
00
11
00
01
11
11
10
10
11
10
11
01
01
11
10
00
01
10
10
00
00
10
01
00
01
00
11
01
10
00
10
01
00
00
00
10
00
01
11
00
00
01
01
00
10
10
10
10
10
00
10
10
01
01
01
00
10
10
00
00
10
10
10
10
10
00
00
00
00
10
01
10
11
11
11
11
00
01
00
10
10
00
00
10
11
00
01
01
10
11
10
00
10
10
00
00
00
00
10
10
00
00
00
00
10
10
10
10
00
10
11
10
00
01
00
00
00
10
10
01
01
00
11
10
11
00
10
00
10
00
00
01
10
11
00
10
01
01
00
11
00
00
10
10
10
10
11
00
01
10
10
10
10
10
00
11
00
10
00
11
10
00
01
11
01
00
11
00
11
11
00
10
01
10
00
00
10
00
00
01
10
11
00
00
10
10
00
01
11
10
10
11
10
11
01
10
11
00
11
00
00
00
00
10
10
11
01
10
10
10
00
11
10
00
00
10
00
11
10
01
10
11
01
11
11
10
10
01
00
10
11
01
01
10
00
10
00
10
10
00
01
10
11
00
00
10
00
10
10
01
10
01
10
10
11
10
01
11
10
00
01
00
01
01
10
00
01
10
10
01
11
10
11
11
00
01
10
01
00
10
01
10
01
00
00
11
10
00
10
00
11
00
11
10
00
01
11
00
00
00
10
11
00
00
10
10
00
00
00
00
00
00
10
10
11
10
00
01
01
00
00
11
00
01
10
00
10
01
00
00
10
01
00
10
10
11
10
10
10
10
10
01
00
01
01
11
01
00
10
01
00
11
01
00
00
00
10
10
11
01
00
10
10
00
10
01
11
11
01
11
11
10
00
00
00
00
11
11
00
00
11
11
10
01
10
01
00
10
01
00
10
10
10
10
10
10
01
00
10
10
10
00
11
01
00
00
00
11
00
11
01
00
00
10
10
01
00
10
10
10
10
11
00
00
00
11
00
00
11
11
00
10
00
00
11
10
10
11
01
10
01
01
00
10
00
10
10
01
10
01
00
10
00
00
10
10
10
01
00
10
01
00
00
00
11
10
00
00
11
11
01
01
01
11
00
00
01
10
11
00
01
10
11
01
10
00
10
10
00
01
11
00
00
11
00
00
10
00
10
10
10
10
00
10
10
00
00
00
10
00
10
10
01
10
11
11
11
00
00
00
10
10
10
00
01
11
11
01
10
00
01
10
10
00
00
11
01
01
11
10
11
00
01
00
10
11
00
00
10
01
00
00
10
10
00
10
10
01
00
10
10
10
10
01
10
00
11
10
01
00
11
10
10
11
00
01
00
10
10
10
10
00
10
00
01
00
00
10
10
10
00
00
01
00
00
00
10
00
11
11
11
01
01
10
00
11
10
11
00
00
10
01
00
11
00
00
10
10
11
00
00
10
10
10
00
01
11
01
10
00
00
10
00
01
00
11
11
00
10
11
11
01
00
10
11
00
10
01
01
10
10
00
00
10
01
10
11
00
11
00
11
10
00
11
10
00
00
00
11
10
11
11
11
00
10
10
00
11
00
01
10
11
01
11
10
10
11
00
01
10
10
00
01
01
00
10
10
10
10
10
10
01
00
11
00
00
10
00
10
10
11
01
00
00
00
10
10
10
00
10
10
10
10
01
11
00
11
00
01
10
01
00
10
01
00
11
10
00
01
10
01
01
10
10
10
00
10
01
01
10
00
00
01
10
11
00
11
00
11
11
00
01
10
10
00
00
00
00
00
11
10
00
00
01
00
11
10
10
00
00
01
01
00
11
00
01
00
11
10
00
00
10
01
00
01
10
00
00
10
10
00
11
11
00
10
10
10
00
10
00
00
00
00
10
01
00
10
11
01
00
10
11
10
01
10
00
10
10
00
00
10
10
00
00
00
10
10
00
10
00
10
10
00
10
01
01
10
01
11
10
00
11
00
11
11
01
11
11
00
11
10
01
01
10
10
01
10
00
10
10
10
11
10
01
10
10
00
01
10
00
00
10
00
00
10
01
00
00
11
11
10
10
01
10
00
00
10
10
10
00
01
00
00
11
01
00
10
00
11
00
10
10
01
00
11
00
00
10
00
10
10
11
11
10
11
10
01
01
00
10
00
00
10
00
00
10
00
01
01
00
10
01
00
00
00
10
10
00
00
00
00
10
11
11
00
00
01
01
11
10
10
00
00
10
10
00
11
11
00
01
01
01
01
10
10
10
00
00
01
10
00
10
00
00
00
00
11
00
00
10
10
10
10
10
10
10
10
01
00
00
11
00
00
10
00
01
00
10
10
11
01
11
01
01
01
11
10
10
11
10
11
00
01
10
00
01
10
11
00
10
10
01
00
10
10
00
01
00
01
00
01
00
10
11
00
10
10
10
00
01
11
10
00
01
00
10
10
11
00
00
11
10
10
00
10
00
10
10
00
00
01
00
10
01
10
01
01
10
11
10
00
01
10
11
10
10
00
01
10
00
10
10
10
10
01
01
00
00
10
11
00
00
00
01
10
11
00
01
11
11
00
01
00
10
01
00
01
00
11
10
00
00
00
10
10
01
00
11
00
10
11
00
01
10
10
00
10
10
10
00
00
01
00
11
00
10
01
10
10
01
00
10
10
10
10
00
11
10
00
10
10
10
11
11
00
01
00
00
01
10
11
11
10
00
01
01
11
10
01
00
00
10
00
10
10
10
00
00
10
10
10
01
10
11
00
10
00
11
01
00
11
01
10
10
00
00
00
01
10
10
00
00
10
10
10
00
10
00
10
01
10
10
10
01
10
01
00
00
00
00
00
10
10
00
01
10
11
00
11
10
10
01
11
00
01
10
11
01
00
10
10
11
01
11
11
11
01
10
00
01
00
10
01
11
10
00
10
00
00
10
00
11
11
10
00
10
10
01
10
10
01
01
11
10
11
10
00
00
00
00
10
10
10
10
01
10
11
10
01
00
11
10
00
10
00
01
00
00
10
10
00
10
00
01
00
10
01
00
10
11
00
11
00
00
00
01
10
11
00
01
10
01
10
10
00
10
11
00
00
01
10
11
01
00
10
01
11
11
00
01
01
00
00
11
01
00
11
00
10
11
01
11
10
10
10
10
00
10
11
00
01
00
01
10
11
00
00
10
10
11
00
01
10
11
10
00
01
00
10
11
10
01
10
10
10
10
01
01
10
10
01
11
00
00
11
00
10
01
10
10
10
00
01
00
10
10
00
00
11
10
01
00
01
00
00
11
10
10
00
10
10
01
10
00
11
00
00
00
10
11
00
00
00
10
10
11
10
11
00
00
11
10
10
10
01
00
10
00
00
10
11
00
10
00
01
00
00
10
00
00
01
01
10
01
11
00
11
01
00
10
01
01
10
01
00
00
10
10
10
00
10
11
11
00
01
11
11
01
00
00
00
10
01
10
10
10
01
10
10
11
01
11
10
11
10
10
01
00
00
00
10
10
00
01
10
10
10
00
10
10
10
10
01
10
00
00
01
10
10
00
00
10
00
10
10
10
10
00
00
00
01
01
00
10
01
10
11
00
01
11
10
01
00
00
10
11
00
01
10
00
00
01
11
10
10
10
01
00
10
00
01
10
00
01
10
10
10
10
01
00
11
10
00
10
10
00
01
10
10
00
10
00
00
00
10
00
01
11
11
00
00
10
10
01
10
00
01
00
01
10
11
01
11
10
11
10
00
01
01
11
00
11
10
01
00
00
01
10
10
00
00
00
11
10
01
11
00
10
11
11
00
00
11
10
00
00
10
10
00
00
10
10
00
01
00
10
10
00
10
10
00
01
11
01
00
11
11
11
01
00
10
00
00
10
01
00
00
10
10
00
11
00
11
10
00
00
10
10
01
00
10
11
01
00
00
10
10
11
11
10
10
00
11
10
11
00
11
11
00
10
01
00
10
00
00
01
00
10
10
11
00
00
10
10
01
10
01
01
11
10
10
00
11
01
10
10
00
00
11
00
01
10
10
00
10
10
00
10
10
00
10
10
11
10
10
11
00
10
10
00
00
00
10
11
11
11
00
01
10
01
00
00
11
01
00
11
10
00
01
10
00
10
10
00
00
01
10
11
00
11
11
10
00
00
00
10
01
00
11
10
11
00
00
00
00
01
10
00
00
10
11
11
00
00
11
10
11
01
01
01
10
10
10
01
00
10
10
10
00
11
10
00
01
10
01
01
11
10
00
00
00
00
10
10
10
00
11
10
11
00
00
00
01
00
10
00
00
10
10
10
00
00
10
00
00
01
01
10
01
00
10
11
00
00
11
10
00
01
10
11
10
11
00
00
01
01
10
10
00
10
00
00
00
11
11
00
01
00
11
01
11
11
10
10
01
10
11
00
01
10
10
01
10
11
01
01
10
10
01
11
01
01
10
01
10
10
10
00
00
11
00
01
10
10
11
10
00
01
01
11
11
10
00
00
10
00
00
11
10
11
10
00
00
10
10
01
10
11
00
11
10
10
00
01
10
10
10
10
10
10
10
00
10
01
01
00
11
11
00
00
11
01
10
10
00
01
10
10
00
11
00
00
11
00
10
10
11
00
11
01
00
10
10
10
10
00
01
01
10
10
01
01
10
01
00
10
10
10
10
10
00
00
10
10
10
00
11
10
11
00
00
00
00
10
00
00
00
11
11
10
11
00
01
00
10
10
00
01
10
10
00
00
10
00
10
01
00
00
10
10
01
00
10
00
10
11
11
11
10
00
01
11
10
11
00
01
11
10
01
10
11
00
01
10
01
00
10
01
11
00
00
00
10
10
10
01
10
10
01
00
00
10
01
00
01
11
10
11
10
00
10
10
00
00
00
01
01
00
10
10
00
11
01
00
00
10
11
10
10
00
10
11
00
01
01
11
00
10
01
01
10
10
10
10
01
00
00
00
10
00
00
10
11
11
10
00
01
01
11
10
01
01
11
00
01
11
10
11
00
10
10
01
01
11
00
00
10
10
10
10
10
10
01
10
11
00
10
11
10
10
00
11
01
00
00
10
00
11
01
00
10
01
10
01
00
00
01
01
11
10
01
00
01
00
00
01
10
10
01
00
10
11
00
01
01
00
10
11
00
01
10
11
01
10
00
00
00
00
01
10
01
10
10
00
00
00
10
01
00
00
10
00
11
11
10
01
00
01
00
11
11
10
00
00
01
10
00
10
00
00
10
01
10
00
00
00
11
00
00
01
00
10
10
11
10
10
00
00
11
10
00
00
11
10
10
10
10
10
00
10
00
00
11
10
00
10
11
10
10
00
10
10
00
10
01
10
10
11
00
10
11
10
00
10
11
01
11
00
00
10
00
01
10
11
00
00
00
10
01
00
11
11
00
00
01
11
11
01
10
10
10
10
01
10
11
00
00
10
01
10
10
11
11
00
10
11
01
00
00
10
00
10
11
00
00
11
10
01
10
00
01
10
11
10
00
00
00
10
11
11
01
10
10
01
00
10
10
01
00
10
10
00
00
00
01
10
01
11
00
00
11
00
10
10
00
00
10
10
10
10
10
11
01
10
01
10
00
10
01
00
10
00
00
10
00
11
10
00
10
00
00
00
00
10
00
00
00
00
10
00
00
10
00
11
11
11
10
01
00
10
00
00
10
10
11
10
00
00
11
10
00
00
11
00
01
10
00
10
11
11
00
01
10
11
00
10
10
11
10
01
00
10
10
00
11
00
00
11
00
01
00
00
11
11
10
01
01
10
11
00
11
10
11
00
10
10
10
01
00
10
10
01
00
00
10
10
00
00
00
10
11
01
10
10
00
11
10
11
11
10
00
01
10
00
10
11
11
00
00
10
10
11
01
00
00
00
10
01
10
10
00
10
10
10
00
00
10
00
10
10
00
10
01
10
10
00
01
10
00
00
10
10
10
01
00
11
10
00
10
10
10
01
10
10
00
10
10
10
10
10
01
00
00
11
00
00
10
11
11
00
11
11
10
10
01
00
10
11
00
00
10
11
01
10
00
10
00
10
10
00
10
10
00
10
10
10
10
10
00
11
10
01
01
01
11
00
10
01
11
10
11
11
01
01
00
01
10
10
00
11
11
00
11
00
10
00
00
11
01
10
11
00
00
10
10
00
10
11
00
11
10
01
00
00
10
11
10
10
00
01
00
10
01
11
10
00
00
11
10
01
01
00
10
00
11
00
00
10
10
11
10
00
01
11
11
00
10
11
11
00
11
01
10
01
00
00
10
00
01
10
11
10
01
00
01
10
00
11
01
11
10
01
11
10
10
00
11
11
00
00
10
01
00
10
10
01
10
10
01
10
00
11
10
01
10
00
01
01
10
11
11
00
10
01
01
10
10
10
10
00
01
01
00
10
10
11
10
01
00
00
01
11
00
10
00
00
01
11
11
00
00
00
10
10
11
00
00
10
10
10
00
11
10
00
00
01
11
00
01
10
00
00
10
00
10
01
01
00
10
00
11
10
01
01
00
10
11
00
00
00
00
01
11
00
01
10
00
01
01
10
10
00
00
00
10
10
00
10
00
00
10
11
10
11
00
01
00
00
10
01
10
10
10
01
01
10
01
01
01
00
10
10
10
10
00
11
10
00
10
10
00
00
11
10
10
11
00
01
01
11
10
00
10
10
10
00
00
10
01
11
00
10
10
00
00
01
10
00
11
10
11
01
10
10
00
00
10
10
00
01
00
11
00
00
10
11
01
11
10
01
11
10
01
00
00
11
11
10
11
10
00
11
00
10
10
01
00
01
00
10
10
11
00
00
10
11
00
01
10
11
11
00
10
10
00
00
01
00
11
11
01
10
10
00
00
01
11
11
01
00
10
10
10
11
10
01
00
01
10
00
10
10
00
01
00
10
10
00
00
10
00
00
00
01
10
11
01
10
00
01
10
00
00
10
11
10
00
00
10
10
00
10
10
01
01
10
01
00
00
00
11
10
10
00
00
11
10
00
00
10
10
10
00
00
00
00
00
00
00
00
00
10
11
00
00
00
10
10
10
01
01
01
10
10
00
11
00
01
11
11
01
11
10
10
11
00
00
10
11
10
00
11
10
10
01
10
00
00
10
00
00
10
00
00
10
10
00
00
00
10
00
00
00
01
00
10
00
11
10
10
01
00
00
11
10
00
01
10
10
11
00
10
10
11
00
11
00
00
10
11
00
10
10
10
10
00
10
01
00
10
01
00
10
10
00
01
10
01
10
11
00
11
10
00
10
01
01
00
11
11
10
10
10
00
11
10
01
11
01
01
10
10
00
10
00
00
10
10
00
00
10
10
01
00
11
10
01
10
00
00
01
11
11
10
00
11
10
01
00
00
11
10
01
10
10
00
10
10
00
01
00
10
11
10
10
00
00
11
01
01
11
01
11
10
11
10
01
00
10
10
00
01
00
11
11
11
10
10
11
00
00
10
00
00
00
10
11
00
00
10
10
01
00
00
10
00
00
00
00
10
11
10
00
10
10
10
00
00
00
00
10
00
00
11
00
11
10
00
00
00
10
10
01
00
11
00
11
11
11
00
01
00
11
10
00
11
10
00
00
10
11
00
10
11
10
10
10
10
00
10
10
00
00
10
00
01
10
11
11
00
00
10
11
00
00
10
10
11
00
01
10
10
11
10
00
00
00
11
00
01
10
00
10
00
00
10
00
00
00
10
10
10
01
01
11
10
10
00
01
10
00
10
10
10
00
00
00
10
10
00
01
00
01
11
11
00
00
01
00
00
10
01
00
01
01
11
11
11
00
11
10
00
01
10
00
00
00
10
10
11
11
11
00
11
10
00
00
10
00
10
10
00
10
11
10
10
11
00
00
00
01
00
00
10
00
11
10
11
00
00
10
10
01
00
00
00
10
00
00
00
11
00
10
10
11
11
00
00
00
01
10
10
00
01
10
00
00
11
10
00
01
10
00
10
10
00
00
11
10
10
00
00
00
10
01
10
10
00
00
10
00
11
00
10
01
00
10
00
10
00
01
00
11
10
01
00
11
11
10
11
00
00
01
10
00
00
10
10
10
00
00
01
01
00
10
00
10
01
01
00
00
11
10
00
00
10
10
01
00
00
10
10
00
00
00
11
01
00
10
01
01
11
10
10
10
00
00
00
00
10
00
11
11
00
10
00
10
10
01
00
10
00
10
00
10
10
00
10
00
00
10
01
00
11
10
11
10
11
10
01
10
11
10
10
10
00
11
11
10
00
11
10
10
00
00
00
10
00
10
10
10
11
00
11
11
10
10
10
00
00
10
11
10
01
00
10
10
00
10
10
00
00
11
10
00
10
01
00
00
10
10
00
00
10
11
00
00
00
00
00
00
00
10
11
01
10
01
10
00
01
01
00
10
11
01
11
11
00
01
10
10
00
00
10
10
10
01
01
01
01
10
00
10
10
00
00
10
11
01
00
00
01
10
10
11
00
10
11
10
10
00
00
00
10
10
00
10
10
11
00
10
10
10
10
11
10
01
01
01
11
00
00
10
00
01
11
10
00
00
00
00
00
10
10
00
10
10
00
10
10
01
01
10
00
00
10
11
10
10
01
00
10
00
11
01
10
00
01
11
11
00
00
01
10
10
00
11
10
00
10
10
01
10
01
11
11
01
10
00
01
00
10
00
00
11
10
10
01
00
10
01
10
00
00
01
11
00
01
00
10
00
00
10
10
10
00
10
00
11
11
11
00
01
01
11
01
00
10
10
11
01
00
11
01
00
11
01
00
11
00
00
10
01
00
01
10
10
10
00
10
10
00
00
00
11
00
11
00
01
00
10
00
10
00
10
01
01
00
10
01
10
01
00
00
00
00
10
10
10
01
00
00
11
00
10
00
10
10
00
01
10
10
00
11
11
01
11
01
01
11
11
01
00
00
10
10
00
00
11
10
00
01
01
01
10
11
10
11
10
10
00
10
10
00
10
10
11
01
01
00
00
00
10
00
00
10
11
10
01
00
00
00
10
11
00
11
00
01
01
10
01
01
11
11
00
10
00
10
10
10
01
00
01
00
01
10
00
10
10
01
01
00
11
00
00
11
01
11
11
01
01
00
11
00
00
10
10
11
00
00
11
01
10
01
10
10
00
00
10
10
00
00
11
11
01
10
00
01
00
10
10
00
01
10
00
01
00
10
10
00
00
01
11
10
00
01
10
10
10
01
10
10
10
10
10
00
00
01
11
11
11
11
10
01
00
00
00
10
10
01
00
00
10
10
10
01
10
10
01
11
10
00
10
10
00
00
00
11
01
10
00
00
10
10
00
00
00
10
00
00
11
00
10
00
10
00
10
00
00
00
10
10
00
00
01
11
00
00
10
11
01
01
00
10
10
00
11
10
10
01
11
10
00
10
11
00
00
10
10
00
00
00
10
00
00
00
01
10
00
10
10
00
00
01
01
00
11
11
00
00
11
10
10
00
00
10
10
01
10
11
10
00
01
01
10
10
10
00
11
10
01
00
10
11
10
00
10
11
00
10
10
10
11
10
00
00
00
10
10
01
10
01
01
01
00
00
10
00
10
10
00
00
00
00
00
01
01
11
10
01
00
10
11
00
01
00
10
10
10
00
00
10
10
11
00
10
11
10
11
00
00
01
00
00
01
10
11
01
11
00
00
00
00
00
10
10
00
10
11
00
00
10
00
00
01
01
11
10
10
00
00
01
00
11
10
00
00
01
10
10
00
01
10
00
10
11
10
10
11
01
00
10
00
01
00
01
10
10
01
10
00
00
10
11
00
00
11
11
00
01
11
00
01
00
01
00
10
10
10
11
00
01
11
00
00
10
10
00
11
10
00
10
10
01
10
10
00
00
01
11
10
00
00
00
10
01
00
10
00
10
01
10
10
01
01
10
10
01
10
00
11
10
00
10
10
10
00
11
10
01
01
10
01
11
11
00
10
00
00
01
10
10
01
01
10
01
00
10
00
01
11
11
11
00
11
10
00
00
00
10
10
11
00
10
10
01
11
01
11
01
00
11
00
01
00
11
00
00
01
10
00
11
10
01
11
00
10
10
00
00
11
11
10
00
10
10
11
01
00
01
10
11
10
11
00
00
00
11
10
00
01
10
00
00
01
10
10
10
00
00
00
00
10
01
00
10
00
00
10
00
00
11
10
00
10
01
01
01
00
10
00
00
10
00
10
10
01
11
00
01
10
10
00
10
00
00
00
11
10
00
10
11
00
01
00
10
11
01
11
01
00
10
00
01
10
00
00
11
00
00
10
10
10
01
01
10
10
00
00
10
01
00
00
10
00
10
00
11
10
00
00
10
01
00
10
10
01
01
10
10
10
00
00
10
11
01
00
11
10
00
00
00
10
10
00
11
10
00
10
00
10
00
01
11
00
01
10
10
01
10
01
00
01
10
10
10
10
10
01
00
11
10
10
00
01
10
11
00
00
00
01
10
10
00
00
10
10
00
00
11
00
10
11
10
11
00
00
00
00
10
10
00
00
11
00
11
10
00
11
11
00
00
10
10
00
00
00
10
00
00
11
11
00
10
00
00
10
01
10
11
00
00
10
10
10
00
01
10
00
00
10
01
00
01
11
10
11
11
10
11
00
00
10
11
00
01
00
00
00
11
11
01
00
10
00
11
10
11
01
00
01
00
00
11
00
11
00
00
10
10
00
00
10
11
10
01
00
10
11
10
10
00
00
10
00
00
11
11
10
01
11
00
00
00
10
11
10
00
01
00
10
10
10
10
10
01
00
01
00
10
01
00
00
11
10
00
00
01
11
11
10
00
00
11
10
11
00
11
10
11
10
10
10
00
01
11
11
00
10
00
10
00
01
10
10
00
00
10
10
11
01
11
01
10
00
10
01
00
00
00
10
11
00
00
10
11
00
00
11
01
10
00
11
10
00
00
01
01
10
10
11
11
01
11
01
10
01
01
10
01
01
11
10
10
00
00
00
10
00
01
11
01
11
10
10
10
11
01
00
11
10
00
10
10
01
10
10
00
10
11
00
00
10
11
00
01
01
11
10
00
10
00
00
10
11
00
00
00
10
01
11
10
00
10
00
00
11
10
11
00
00
01
11
00
10
10
01
10
10
00
10
10
01
00
00
00
10
10
10
00
11
00
00
01
01
10
00
00
00
11
10
00
11
11
00
10
10
01
00
01
10
10
00
00
11
00
10
10
01
00
01
00
10
10
11
00
11
00
00
00
01
10
10
00
00
10
00
10
00
01
10
10
00
00
11
00
00
11
11
00
10
00
11
00
00
10
10
11
10
00
10
11
00
00
01
00
10
10
10
00
00
10
10
00
01
00
11
00
11
00
01
10
10
00
01
10
01
01
10
00
00
10
01
10
10
11
00
00
00
01
00
01
10
00
00
01
01
10
10
00
10
11
01
11
00
01
00
10
10
01
01
00
01
10
10
01
11
00
00
10
10
01
00
01
01
10
10
11
00
00
01
10
10
10
10
10
11
00
00
10
10
11
10
01
00
11
00
00
10
01
00
00
11
10
01
10
00
10
10
01
10
00
10
10
00
10
01
01
11
10
01
10
11
11
10
00
10
10
00
10
11
00
00
10
01
11
00
11
00
10
10
00
10
11
01
00
11
00
00
10
00
00
11
10
00
00
10
00
11
10
11
00
00
10
10
10
01
10
10
00
01
11
10
10
00
11
11
00
10
00
00
10
10
10
00
00
11
10
11
10
10
01
00
10
10
01
00
01
00
00
00
11
10
01
00
11
11
01
00
11
10
10
10
00
10
11
10
01
01
10
10
00
10
00
10
10
00
01
11
00
11
00
00
01
00
10
10
11
00
00
10
10
00
11
00
10
00
10
00
00
00
11
00
10
01
00
10
00
00
10
11
00
00
10
01
00
01
10
11
10
00
01
11
11
11
10
00
10
11
01
00
11
10
01
10
10
10
10
01
01
10
10
00
10
10
10
00
00
10
11
01
00
11
10
01
11
11
10
01
00
11
10
01
01
01
10
10
01
00
01
10
10
00
11
11
01
01
10
11
01
00
11
00
01
11
11
11
10
10
00
11
10
01
00
11
10
00
00
11
00
01
00
00
00
10
00
10
11
10
00
11
10
10
01
00
10
10
10
10
10
00
10
01
00
10
00
00
00
10
10
10
00
00
10
01
11
01
01
10
00
10
10
00
11
10
10
00
01
10
10
00
00
00
01
00
01
11
10
11
10
11
10
10
01
00
10
10
01
01
10
11
10
00
01
01
10
00
10
10
11
11
10
11
00
10
01
00
01
00
10
10
11
10
01
10
11
10
10
10
10
10
01
00
00
01
11
11
11
01
10
11
01
00
01
10
11
00
00
11
10
00
01
01
10
11
00
00
10
00
01
10
10
01
10
00
01
10
10
10
00
00
00
10
11
10
01
00
00
10
10
10
00
10
10
00
00
10
10
00
11
00
00
11
00
01
00
00
10
00
00
10
10
00
00
10
00
00
00
00
00
00
10
01
10
00
01
00
10
11
10
11
10
10
01
10
10
10
10
00
00
00
00
10
01
00
00
00
00
00
01
10
00
00
01
00
00
11
10
10
01
00
11
01
00
00
00
10
10
10
00
11
10
01
10
00
10
00
11
01
00
11
10
11
00
00
00
11
01
00
01
10
00
10
10
00
01
10
11
01
00
10
01
10
00
01
10
11
10
00
01
11
11
11
10
00
00
00
10
11
00
10
10
01
11
10
10
00
10
11
00
00
10
10
00
00
10
11
01
11
00
00
11
00
01
00
00
10
11
01
00
10
10
10
10
01
00
00
10
11
01
10
10
01
10
11
10
01
00
11
10
11
01
00
11
10
01
11
10
01
00
10
10
00
11
10
01
00
00
11
01
00
11
00
00
00
00
10
01
00
00
11
10
01
00
10
10
00
00
10
00
00
11
10
10
01
00
01
10
00
11
01
10
00
01
10
00
10
00
00
10
00
00
10
10
00
00
00
11
00
00
11
10
00
01
01
00
11
10
00
10
00
11
10
10
00
00
11
00
00
10
00
10
10
11
10
00
00
10
01
10
01
11
01
01
10
11
10
11
00
00
11
00
00
10
01
00
10
00
10
00
10
10
10
10
00
00
10
10
00
10
10
01
01
00
10
01
11
10
11
10
00
10
01
00
11
01
11
00
00
01
10
11
00
11
00
01
00
11
00
11
10
01
00
10
10
00
01
10
00
00
10
10
10
01
01
01
11
01
00
11
00
00
11
01
10
10
10
01
00
11
00
00
10
11
10
01
01
10
10
11
01
00
00
11
00
00
10
00
00
10
10
10
00
01
10
10
00
00
01
11
11
00
01
10
11
10
00
10
11
00
01
11
01
00
10
11
11
00
00
11
00
10
10
10
00
00
00
00
10
10
00
01
00
10
10
10
10
11
00
01
00
10
11
10
01
00
00
10
10
10
00
11
00
00
10
10
10
10
11
01
10
10
10
10
01
00
11
10
10
00
01
01
00
10
11
11
00
00
10
10
01
00
10
11
10
10
00
00
00
10
01
01
10
11
10
11
10
01
01
11
00
11
00
00
01
10
11
01
00
10
10
01
00
01
10
10
00
10
10
00
01
11
10
10
00
00
00
10
11
11
01
01
00
01
10
10
11
00
00
11
00
10
10
00
10
10
10
01
10
11
00
11
00
01
11
10
10
00
00
00
10
10
00
11
10
10
01
01
00
00
01
11
01
10
10
10
01
00
11
00
00
10
01
10
10
00
00
10
11
11
10
00
00
00
11
10
10
01
10
10
10
00
01
10
11
10
01
10
00
00
00
00
11
10
01
11
01
01
00
10
11
00
11
10
00
01
10
11
01
00
10
10
00
01
00
11
10
00
11
11
00
00
10
11
00
00
01
10
11
00
11
00
10
01
00
11
01
11
10
00
00
10
01
10
11
00
00
10
00
00
10
00
00
10
01
01
10
10
01
10
10
11
00
11
00
10
11
10
00
10
01
00
10
00
00
10
10
10
00
11
11
10
10
00
00
11
10
01
10
10
00
10
11
00
00
10
00
00
10
01
10
01
00
10
11
01
10
00
00
10
10
10
00
10
00
10
01
10
00
00
10
11
00
00
00
10
00
00
00
11
10
11
10
11
10
01
01
00
00
10
00
00
11
01
00
10
10
11
10
00
00
10
11
01
10
00
00
01
10
00
00
10
11
10
11
00
01
00
00
10
11
00
01
10
11
00
10
10
01
11
01
10
11
00
10
10
00
00
11
10
00
11
00
01
10
00
01
10
11
01
00
01
10
00
01
00
10
10
11
10
01
00
10
01
10
10
00
00
00
01
10
10
10
10
00
00
01
01
00
00
00
00
00
00
10
11
01
00
00
10
10
10
10
11
00
00
01
01
11
11
11
01
00
11
00
00
00
10
10
10
00
10
10
00
10
00
00
10
10
00
01
00
00
00
10
10
01
10
11
10
00
00
00
00
11
10
01
11
10
10
00
10
10
10
00
00
10
11
10
01
11
00
01
00
01
10
11
00
00
10
11
10
01
11
10
00
01
00
10
01
01
10
10
00
11
10
00
00
10
11
10
00
00
00
10
00
01
10
10
00
10
00
10
01
01
11
01
11
11
01
10
01
10
10
00
01
01
11
00
00
10
11
01
11
00
00
00
10
10
00
10
01
01
00
10
00
00
10
10
11
01
01
01
00
00
10
11
00
00
10
11
00
11
11
00
10
11
01
10
00
01
11
00
11
00
10
00
00
00
10
11
00
10
10
01
01
10
00
01
01
11
10
00
10
01
00
00
10
10
00
10
10
00
10
01
01
11
01
01
10
10
10
10
10
01
00
10
10
10
01
00
00
10
00
01
01
10
10
01
10
10
11
00
01
10
10
00
00
10
11
00
00
00
10
11
11
10
01
00
11
10
00
10
10
00
11
01
00
00
00
11
00
10
10
00
10
00
00
10
00
00
00
01
01
10
11
01
10
00
00
10
00
01
10
11
00
01
01
00
00
00
11
00
10
11
00
01
11
00
00
00
00
01
00
10
10
00
10
00
00
11
10
00
00
00
10
11
10
10
11
00
10
00
00
10
10
10
11
10
10
00
10
00
01
10
01
10
10
01
10
10
00
01
00
10
10
11
00
10
01
01
01
11
00
11
01
11
00
00
10
10
00
11
11
01
10
01
11
10
10
01
00
10
11
01
01
10
01
01
11
10
01
01
10
00
00
10
10
00
11
00
00
10
10
01
00
11
00
00
10
01
00
11
01
00
10
11
10
00
00
10
01
10
01
11
11
11
01
00
11
00
11
10
01
00
10
00
01
00
10
01
00
11
11
11
01
10
00
00
10
11
00
00
10
00
00
11
10
10
11
00
00
10
10
00
11
00
01
01
11
10
01
01
10
00
00
10
10
10
00
01
11
10
11
01
01
10
10
11
00
10
00
00
01
00
00
10
10
00
11
10
10
01
10
10
10
10
00
10
11
00
10
10
10
00
01
00
01
10
00
01
11
10
10
00
00
00
11
00
10
00
11
10
00
01
10
01
00
11
10
10
10
01
10
00
00
10
01
10
10
10
10
10
00
00
00
01
10
01
00
00
10
01
01
10
11
00
00
10
11
10
10
11
00
00
10
10
10
01
10
11
10
11
10
00
00
00
01
11
10
11
01
00
10
10
00
00
10
11
00
00
10
00
10
11
00
01
11
10
11
00
00
00
11
00
10
00
00
10
10
01
00
10
10
11
10
10
10
01
10
01
10
01
01
10
01
11
00
01
01
10
00
00
01
00
00
11
11
01
01
00
10
10
10
10
11
00
01
10
00
00
00
10
10
11
00
00
00
00
10
01
00
00
10
10
00
10
00
01
00
01
00
11
00
10
10
01
10
10
00
00
01
01
10
01
11
10
00
10
00
10
01
00
11
10
00
11
00
00
10
00
00
10
11
00
00
11
00
01
00
00
00
01
00
10
10
00
10
10
11
00
10
11
10
10
00
10
10
10
00
10
00
01
00
01
01
00
01
10
00
10
10
01
00
11
10
00
11
10
00
10
11
01
00
10
10
00
01
00
10
10
01
01
00
01
11
11
00
00
01
11
11
00
00
00
00
10
11
10
01
11
11
01
00
00
11
00
00
00
10
11
01
10
11
00
10
01
01
01
11
11
01
11
11
00
00
01
10
10
00
11
11
10
00
10
00
00
00
01
10
10
00
00
10
00
10
00
01
11
11
11
10
11
10
10
10
00
01
10
10
01
10
10
11
11
10
11
00
10
11
00
10
01
00
10
01
11
00
10
10
10
00
00
10
10
00
00
00
00
00
00
01
10
10
00
11
10
11
00
00
10
11
00
01
01
10
10
00
00
01
01
10
10
11
11
11
00
00
00
00
10
10
01
00
10
01
10
10
01
00
00
00
10
11
10
10
11
01
00
00
00
10
01
10
10
01
00
10
10
01
11
00
11
01
01
11
11
10
00
10
00
00
10
11
00
10
10
00
10
01
11
11
11
00
00
10
10
00
10
00
01
00
01
10
01
10
11
10
01
01
11
10
01
11
11
11
00
10
10
00
00
10
01
00
11
00
11
01
00
10
11
00
10
10
00
11
10
00
00
10
11
01
00
01
10
10
11
01
10
00
00
10
11
10
01
11
11
01
10
00
01
00
11
10
10
00
00
10
00
00
11
01
01
10
00
10
00
00
00
00
11
11
11
10
00
10
00
00
01
10
01
01
01
00
10
11
11
00
01
00
10
01
10
10
10
00
00
00
01
10
10
01
01
00
11
00
10
10
10
10
01
01
11
01
00
00
10
00
01
10
10
01
10
11
10
00
01
11
10
00
10
11
10
00
00
00
11
01
10
10
00
01
01
10
10
00
00
01
01
10
00
01
10
00
11
01
01
10
10
01
11
10
11
10
11
00
00
00
10
10
11
00
01
10
00
01
00
01
01
00
01
00
10
10
11
10
01
10
11
00
01
10
00
00
10
10
10
01
00
00
10
10
00
01
00
10
10
10
10
10
01
10
11
10
00
00
10
00
00
11
10
10
00
00
10
01
01
11
10
10
00
10
10
00
01
10
11
00
00
10
00
00
01
10
01
00
00
11
01
00
00
01
10
11
00
11
00
11
10
00
00
11
01
00
00
10
10
10
10
00
11
01
11
11
01
10
11
01
00
10
10
00
01
00
11
11
11
00
10
00
10
11
00
00
01
00
11
11
10
00
10
10
10
10
00
01
10
10
11
11
00
10
10
11
01
11
10
00
01
00
10
11
00
01
10
00
00
10
10
01
00
11
10
00
10
10
01
00
10
11
00
01
01
00
01
10
10
10
10
01
10
10
01
10
11
00
01
00
11
10
11
11
00
10
01
11
10
00
10
11
01
00
00
00
00
00
00
00
11
10
00
00
00
00
00
10
00
00
10
10
01
01
11
10
00
10
00
00
10
10
01
01
00
10
10
10
00
00
10
00
10
10
01
10
00
01
00
11
11
01
01
10
00
10
10
00
10
10
10
00
00
00
00
00
11
00
00
10
10
01
11
00
00
11
00
11
01
00
10
10
10
00
01
11
01
10
10
10
00
11
00
01
00
10
10
10
00
00
10
10
00
10
11
10
00
00
10
10
11
00
01
10
00
01
00
01
10
00
01
10
11
10
11
10
00
00
10
10
00
00
01
00
11
10
00
10
11
00
10
10
01
00
11
00
01
00
10
11
10
11
00
00
10
10
01
11
11
01
10
10
10
10
11
10
00
10
01
01
10
00
10
00
10
00
00
11
00
01
10
10
10
10
10
00
01
10
00
11
10
01
11
10
10
10
00
10
00
01
10
11
01
11
10
10
10
10
10
01
00
10
11
00
00
00
01
10
00
11
10
10
01
00
10
10
01
01
10
11
00
10
01
10
11
00
00
10
01
10
10
01
00
11
11
01
00
11
00
00
00
10
10
00
00
11
10
00
01
10
01
00
00
01
00
11
01
10
01
10
00
10
10
10
11
01
01
00
10
10
00
10
10
10
00
01
10
10
00
11
10
00
10
00
10
01
00
00
10
01
01
00
00
00
00
01
10
10
11
10
11
10
01
11
11
10
01
10
11
01
00
11
00
01
11
11
00
10
00
00
11
10
11
00
00
10
10
00
10
10
10
10
00
11
00
11
00
00
00
10
10
11
10
01
00
01
11
01
00
01
00
11
00
00
10
10
11
10
00
00
11
00
00
00
01
00
10
11
10
10
01
10
00
00
00
11
00
00
10
00
01
00
10
11
01
00
10
11
00
10
00
10
11
00
00
10
01
11
00
10
00
10
00
00
10
10
11
00
11
10
10
01
10
00
00
01
10
10
00
11
11
00
10
01
00
11
00
11
00
10
00
01
00
10
01
00
11
00
00
11
00
11
10
00
00
00
10
10
00
00
10
00
00
00
10
10
10
01
00
00
00
01
10
10
01
11
00
10
10
00
00
10
11
01
11
10
10
10
10
00
00
01
10
10
10
10
00
11
11
01
00
00
00
10
10
01
01
11
10
10
11
11
10
01
00
10
10
10
11
01
00
11
00
10
10
10
00
11
11
00
00
11
00
10
00
00
11
01
11
10
10
00
10
00
01
01
00
10
01
10
11
10
10
01
10
10
00
10
00
11
10
10
00
11
00
10
00
11
00
01
10
00
11
10
10
00
00
11
00
10
10
00
00
01
10
10
00
00
11
00
10
10
10
10
00
01
10
01
00
11
00
01
10
00
10
11
01
00
10
10
10
01
10
10
00
10
01
00
10
10
00
10
00
01
11
10
10
10
00
10
00
01
00
00
10
00
11
10
11
01
01
10
00
00
11
11
00
00
10
11
00
00
10
01
00
11
00
00
01
10
00
00
00
11
10
01
00
01
01
01
11
10
00
10
01
10
01
00
11
00
10
10
00
11
10
11
00
01
10
01
10
10
00
10
00
01
10
10
10
00
10
01
00
11
11
10
00
00
10
01
11
10
10
00
00
11
10
00
00
10
10
10
11
00
10
00
00
00
10
01
10
10
00
01
10
10
00
00
00
10
10
10
00
00
00
00
00
10
11
01
10
00
11
10
01
01
11
11
01
10
01
00
10
11
00
00
11
10
00
00
10
01
00
10
10
00
10
10
10
11
00
00
01
10
00
11
10
11
10
00
00
00
10
00
11
11
01
11
11
10
00
00
10
01
10
10
10
01
11
00
00
11
00
11
00
01
11
11
10
10
11
01
10
11
00
00
10
00
00
00
10
10
10
00
00
00
00
00
01
11
00
00
01
10
00
11
00
01
00
10
10
00
10
00
01
10
00
11
00
00
01
10
11
01
01
00
00
00
11
10
10
00
10
10
00
10
00
01
10
10
11
00
00
01
00
10
00
01
10
01
00
00
10
10
00
10
10
01
00
10
11
11
10
00
11
10
01
10
10
00
00
01
01
00
00
10
11
10
00
01
10
11
01
00
00
01
01
10
10
00
10
10
00
01
10
00
01
11
10
01
10
10
00
00
00
01
10
10
11
00
00
10
10
00
11
11
10
00
00
00
11
10
00
11
10
10
01
11
00
00
01
00
00
01
10
10
00
10
10
00
01
11
01
10
00
10
01
11
10
01
00
00
01
11
11
11
10
01
10
00
01
11
10
11
11
00
10
00
10
01
11
11
01
00
10
00
00
11
11
01
00
00
11
01
10
11
00
01
11
10
00
00
10
10
00
00
10
10
00
00
01
00
01
10
10
01
10
11
00
10
10
10
00
00
10
10
00
01
10
10
10
01
00
01
10
10
00
10
10
00
00
10
10
01
10
00
00
10
01
11
01
00
00
01
10
01
01
10
10
10
00
00
01
01
10
11
00
00
00
01
10
01
00
10
10
11
10
01
00
00
11
10
00
10
00
00
00
00
11
10
10
11
10
00
00
10
11
00
11
01
00
00
10
10
00
11
11
10
01
10
00
11
00
10
00
00
11
10
00
00
01
10
01
00
10
01
11
00
11
10
00
10
00
00
11
00
11
10
01
10
00
00
00
00
10
10
00
10
10
11
10
10
01
10
10
00
10
00
10
00
10
01
00
10
00
10
10
10
10
00
01
00
10
11
01
00
00
00
10
00
00
01
01
10
10
00
01
10
10
01
01
10
11
00
10
01
01
10
01
10
10
01
00
10
10
01
01
00
00
00
01
10
00
10
10
10
00
00
11
10
10
10
00
00
01
00
11
11
00
00
00
10
01
11
10
10
00
00
10
11
00
00
00
10
10
00
01
00
10
10
11
11
00
10
11
00
00
10
00
00
00
11
11
00
00
11
00
11
00
00
11
10
00
01
00
10
01
00
10
11
00
00
11
01
11
00
00
11
10
00
10
10
00
01
10
11
10
00
01
10
10
10
11
00
10
01
00
10
10
10
10
01
01
00
01
11
11
11
00
11
01
01
11
00
10
11
01
00
00
10
10
10
00
11
10
01
00
11
00
11
10
00
00
10
01
10
10
00
10
10
10
01
10
11
11
00
01
10
00
10
00
01
10
10
10
11
10
00
00
11
11
10
01
01
10
10
01
00
11
11
00
01
11
01
11
00
01
10
00
11
10
01
00
10
10
00
00
10
11
01
11
10
10
01
01
00
10
00
11
10
10
11
01
10
11
00
01
10
00
01
00
10
00
01
00
11
10
00
10
10
11
11
10
00
11
00
00
00
10
11
11
10
01
10
10
01
00
00
00
01
10
11
10
01
10
11
10
00
00
10
10
11
11
11
11
00
10
01
10
10
01
00
11
10
10
01
01
11
01
00
10
10
00
01
00
10
10
00
01
11
10
00
11
00
00
00
10
00
00
10
01
10
11
01
00
00
01
10
01
01
11
11
00
11
11
11
00
00
01
10
10
01
01
11
00
00
10
10
10
00
11
10
10
11
01
10
10
01
00
00
10
11
10
10
00
00
11
11
11
01
00
10
00
11
00
00
10
10
00
11
00
01
10
10
10
10
10
00
11
11
10
00
00
10
11
01
10
01
00
11
10
00
00
10
11
01
10
10
10
10
10
00
00
10
00
01
10
10
00
00
10
00
10
10
01
00
10
10
01
11
10
00
00
10
11
10
10
00
01
00
00
01
01
00
10
10
10
00
10
11
01
10
00
10
00
01
01
00
11
10
00
00
10
10
00
10
11
10
00
01
00
01
11
01
01
00
11
10
00
10
10
00
11
11
00
00
11
10
11
10
01
10
00
10
00
00
10
10
01
00
11
00
00
01
10
11
11
00
00
00
10
11
10
01
00
10
10
10
00
10
10
01
01
00
01
00
00
00
00
00
00
00
10
00
10
10
11
01
10
00
00
00
11
11
11
10
00
11
01
01
11
00
00
11
11
01
01
10
11
00
01
11
11
00
01
00
11
01
00
11
00
11
01
00
10
01
00
10
00
10
10
10
10
00
11
00
00
00
01
10
01
00
10
10
00
00
11
11
00
00
00
10
11
10
11
00
01
10
00
10
00
00
11
00
01
10
01
00
00
10
00
11
10
11
00
01
00
11
00
00
00
10
10
10
00
10
10
10
01
00
00
00
11
00
01
11
10
00
10
00
00
10
10
10
10
00
11
01
11
11
10
11
00
00
00
10
10
10
10
00
10
10
01
00
00
10
10
11
00
00
01
01
10
11
10
01
10
10
01
10
00
10
10
00
00
10
10
10
11
00
10
01
00
00
00
00
10
10
00
00
00
10
11
00
10
10
11
10
00
01
01
00
01
11
00
01
10
10
00
10
11
00
10
00
11
10
01
10
01
00
00
10
10
10
10
10
11
10
00
01
10
00
00
10
11
01
00
11
01
00
00
01
10
00
11
11
01
00
01
10
10
11
00
00
11
11
00
11
10
00
00
00
10
11
10
00
00
10
00
01
10
10
10
00
00
10
10
00
01
10
10
10
10
01
10
00
00
00
10
00
10
10
10
11
11
10
00
10
10
01
01
00
10
10
11
10
00
10
11
10
10
10
10
10
11
00
01
11
10
00
10
10
00
00
11
01
00
11
10
10
10
00
10
00
00
00
11
10
00
10
11
11
10
00
10
11
10
00
00
00
00
00
10
00
10
10
00
11
00
00
00
01
11
01
10
00
10
11
01
11
10
11
00
10
01
01
10
10
01
00
00
11
10
00
00
00
10
00
10
10
00
10
01
01
00
00
00
10
01
01
10
01
10
01
00
00
10
00
01
10
10
00
01
10
01
01
00
01
10
01
10
11
00
01
00
10
11
00
00
00
11
10
10
01
00
10
10
01
11
10
10
01
00
00
10
00
11
00
10
11
10
00
00
10
00
00
10
10
10
10
10
00
01
00
10
11
10
11
11
10
01
01
11
00
10
11
00
00
10
11
00
01
01
11
00
11
01
00
00
10
00
11
11
00
10
10
10
01
00
10
00
00
01
10
01
11
10
00
10
11
10
00
10
00
00
00
00
10
10
01
00
01
10
00
00
10
10
11
00
00
10
11
10
10
10
01
10
01
10
11
10
10
00
11
00
10
10
00
01
00
10
10
00
11
01
00
10
00
00
10
10
00
01
10
11
10
01
00
10
01
10
10
01
00
00
10
10
01
11
10
10
10
10
10
10
10
00
00
11
00
01
00
11
11
00
10
11
00
11
10
00
10
01
11
11
00
00
01
01
01
11
00
01
01
01
00
10
10
00
00
00
11
10
00
00
11
10
10
00
00
11
11
11
00
10
10
11
10
00
01
10
10
10
00
10
11
11
10
00
00
10
01
00
10
00
00
10
01
01
11
11
00
10
10
00
11
10
00
00
10
10
10
01
11
11
01
00
00
11
10
01
00
00
11
10
00
00
00
11
10
11
10
00
00
11
10
00
10
10
00
11
10
00
11
11
11
01
00
10
10
00
00
11
10
00
00
00
11
00
10
00
00
00
10
01
11
10
00
01
01
11
11
10
10
00
00
00
01
10
01
00
11
00
00
00
00
01
10
10
00
10
00
00
00
11
00
10
10
10
10
11
10
00
00
00
00
10
10
11
01
01
10
10
11
11
00
01
01
11
10
10
10
00
10
10
00
00
00
00
01
00
00
10
10
10
10
11
10
00
00
01
00
10
10
00
11
11
10
00
10
00
10
10
10
00
10
01
00
11
01
00
00
11
00
10
11
00
00
10
00
11
10
10
00
00
00
10
10
10
10
01
10
00
01
11
00
11
00
00
10
10
11
10
00
00
10
11
11
10
01
10
01
10
11
10
10
10
00
00
00
00
11
00
01
10
00
00
01
10
10
11
00
01
11
11
11
10
00
11
00
11
01
11
10
01
00
01
10
10
01
01
00
01
10
00
01
00
01
11
10
00
10
00
00
10
10
10
10
10
01
10
00
00
00
00
10
01
11
10
11
11
10
10
00
00
00
10
00
01
10
10
00
11
10
01
01
00
00
10
10
11
00
01
10
01
01
11
00
11
10
01
00
10
00
11
10
01
00
00
01
10
11
00
11
10
00
10
00
10
10
01
00
10
10
10
10
01
01
00
00
10
00
01
10
00
10
11
10
11
00
10
00
11
00
01
11
00
10
11
01
10
10
00
00
11
11
11
11
00
01
11
00
00
10
10
10
01
01
00
11
00
10
00
10
11
10
10
01
00
11
01
01
10
00
00
10
00
01
00
10
10
10
00
00
00
00
00
10
00
00
01
00
00
11
00
00
00
00
11
00
10
11
00
10
10
10
00
00
10
00
00
00
10
01
11
00
00
11
10
10
11
00
10
01
00
01
00
10
01
10
10
11
11
00
00
00
10
11
10
11
11
00
00
01
10
10
11
00
11
00
10
10
11
00
01
10
00
01
10
00
10
10
01
00
01
10
00
01
00
01
01
10
11
10
10
01
10
10
10
11
00
10
01
10
10
01
10
11
01
10
10
11
11
00
00
10
01
01
00
00
11
00
10
01
00
10
00
11
10
00
10
00
01
01
10
01
01
01
10
00
01
00
10
10
01
00
10
01
01
10
10
10
10
10
00
11
11
10
01
00
00
00
01
11
00
01
10
10
01
11
10
01
00
10
00
00
00
11
10
00
10
10
10
01
00
11
11
10
01
00
10
10
01
00
11
10
10
00
10
01
11
00
01
00
00
00
10
10
11
00
00
10
11
01
11
10
11
10
00
10
11
00
00
11
00
01
10
11
11
01
01
00
01
01
00
10
10
00
00
00
01
10
10
01
11
00
01
01
10
10
00
10
10
11
00
01
11
00
10
00
01
00
01
10
11
00
00
10
11
01
00
10
10
01
10
00
10
01
00
00
10
10
10
00
00
00
10
10
01
10
11
11
10
01
00
10
10
01
00
01
10
10
10
10
11
00
00
10
10
10
00
01
10
00
10
00
01
10
01
00
00
01
00
00
00
11
00
10
10
01
11
11
11
11
00
10
10
01
01
11
11
00
00
10
01
00
01
10
10
00
01
00
01
10
11
01
10
10
01
11
11
10
00
10
00
00
01
10
10
01
10
01
00
00
11
10
10
00
01
10
01
00
11
10
01
00
01
10
01
11
10
00
00
01
00
00
10
10
00
10
00
10
10
01
00
01
01
10
10
00
00
00
00
10
10
10
10
10
10
10
10
00
01
00
11
00
00
10
01
01
10
10
01
01
11
11
11
01
10
10
00
00
00
10
10
00
10
10
00
00
11
10
10
11
11
01
10
00
11
10
10
01
01
10
00
10
01
10
10
00
10
10
00
00
10
00
00
11
00
10
10
10
10
10
01
00
00
10
10
00
10
00
11
10
00
00
10
10
01
10
10
10
00
01
00
10
10
01
00
10
10
01
10
01
00
00
11
10
01
11
11
00
10
00
11
01
10
10
00
00
01
10
00
11
10
01
00
10
01
10
11
01
10
11
00
10
01
10
00
01
11
10
00
11
00
10
00
10
11
00
00
00
01
00
01
00
10
01
00
10
01
01
01
10
00
10
11
00
01
10
10
01
01
01
01
10
11
11
01
10
11
00
00
10
11
00
00
11
10
01
11
11
10
10
00
01
11
10
00
00
10
10
00
01
10
01
00
11
00
10
11
10
01
00
00
10
00
00
10
10
00
10
10
01
11
11
10
01
00
01
00
00
01
10
00
00
11
10
00
00
00
11
11
00
10
10
10
01
10
11
01
00
10
01
00
10
10
00
00
10
10
10
10
00
10
01
00
00
11
00
01
00
00
11
10
00
10
10
01
10
11
10
00
00
10
00
00
10
01
00
11
11
11
00
01
01
00
00
10
10
00
00
10
00
00
01
10
10
10
01
10
11
10
00
11
00
11
10
10
00
10
10
00
11
00
01
10
01
10
11
11
00
00
10
10
00
00
10
10
00
11
00
11
10
00
01
10
00
10
00
00
00
10
10
01
11
00
01
01
00
01
00
00
10
00
00
10
11
11
10
00
00
10
01
00
10
00
00
00
01
00
00
10
10
00
00
11
10
01
00
10
11
10
10
10
00
01
10
00
01
11
00
10
11
01
10
01
01
00
00
10
11
10
00
00
00
00
10
10
10
10
10
01
11
10
11
00
00
00
11
10
01
10
10
00
00
11
10
00
00
00
11
10
01
10
01
11
00
10
10
00
11
10
00
10
01
00
01
10
10
11
00
10
10
01
00
10
01
00
01
10
01
11
11
10
00
01
10
11
01
10
10
01
10
00
11
00
11
10
00
01
11
11
00
01
10
10
00
11
10
11
00
01
10
11
11
11
10
00
10
10
00
01
00
11
10
00
10
00
00
10
00
01
00
00
00
10
00
01
10
00
10
01
10
10
00
11
10
00
00
10
10
10
00
00
10
10
00
10
00
00
10
00
11
00
10
00
00
10
00
01
10
00
10
10
00
10
10
11
10
01
01
10
11
01
00
10
01
01
10
10
01
10
10
01
10
00
00
00
10
11
10
00
10
00
00
00
11
11
11
11
10
01
11
10
00
11
00
00
11
10
01
00
10
00
00
10
10
00
00
11
10
10
01
01
10
00
00
00
00
00
11
10
11
11
01
01
11
10
10
00
11
10
00
00
01
10
00
00
11
10
00
10
01
11
00
00
10
00
11
00
10
01
10
10
00
00
10
10
10
00
01
10
00
11
10
00
10
10
00
10
00
10
00
00
00
10
10
00
01
10
11
00
01
10
00
10
10
01
11
10
00
01
01
10
00
00
10
11
00
01
10
01
00
11
00
10
11
11
01
01
10
10
00
00
11
10
00
00
01
11
00
01
11
00
10
10
00
11
00
00
10
01
10
11
00
11
01
00
10
10
00
00
10
10
10
10
00
01
00
01
10
00
10
00
01
10
11
00
10
00
10
00
11
10
00
00
00
10
10
10
00
10
01
10
11
10
10
00
10
10
10
10
01
00
11
00
00
10
11
11
11
00
00
11
10
01
00
10
10
00
01
10
00
10
10
00
10
00
00
01
10
00
00
10
00
00
01
10
11
10
00
00
11
11
01
10
10
11
10
10
01
10
00
01
00
11
10
00
10
11
00
10
11
00
11
10
01
10
00
01
11
11
00
01
00
10
00
00
10
00
10
11
00
00
00
01
11
00
00
00
11
10
10
00
11
11
01
00
00
11
00
10
01
00
11
10
11
01
10
10
00
00
10
10
00
10
01
01
11
11
11
10
00
11
01
00
10
01
00
10
10
10
00
10
01
10
00
01
10
11
00
10
00
11
11
00
01
10
10
10
01
11
00
10
01
01
00
00
00
11
10
00
10
00
00
10
11
11
11
01
10
10
10
11
00
00
11
00
00
11
10
00
00
10
00
00
00
11
01
00
01
01
10
00
11
10
11
10
01
00
11
00
00
11
11
11
00
11
01
01
00
00
10
00
01
10
01
11
10
10
11
00
00
00
11
10
10
00
00
00
10
11
01
10
10
00
11
11
00
00
10
00
01
10
11
10
00
00
11
00
11
00
10
00
00
11
00
10
11
00
00
01
01
10
11
10
01
01
10
10
11
00
00
00
10
11
10
11
00
01
10
00
01
00
01
10
10
00
10
00
10
00
01
11
00
10
00
01
11
00
00
01
10
11
00
00
10
10
01
00
11
10
10
10
00
00
10
10
11
00
01
01
10
00
10
00
00
00
11
11
00
01
00
00
00
11
00
11
10
10
01
01
10
00
00
11
10
01
10
10
00
10
10
11
10
01
11
00
00
10
10
11
11
10
00
00
11
10
00
11
11
11
00
01
10
11
00
00
01
11
10
01
11
10
11
01
01
10
10
00
11
10
00
10
10
00
01
01
10
00
11
10
00
10
00
10
00
01
00
00
11
00
11
00
10
00
10
01
00
10
01
10
10
00
00
10
10
01
00
00
01
10
10
01
00
11
00
11
01
00
10
10
01
01
00
10
10
10
00
00
00
00
11
00
00
11
10
00
00
10
11
10
10
00
00
10
00
10
10
10
10
00
00
11
00
00
10
00
00
01
11
00
10
11
10
00
10
10
01
10
11
00
00
10
10
10
00
01
10
11
10
00
01
01
11
10
10
01
10
00
00
10
10
10
00
00
01
10
11
00
10
01
11
10
11
10
00
10
10
00
01
00
10
10
10
10
00
10
11
01
10
10
10
10
10
10
00
10
00
10
00
00
01
10
00
11
11
00
00
10
01
10
01
01
11
10
10
00
00
00
10
10
00
00
10
01
00
10
01
11
00
11
01
00
10
00
00
01
01
10
01
10
10
11
10
10
01
01
10
01
10
10
00
01
00
01
10
10
00
00
10
11
10
00
11
10
00
10
10
11
10
00
00
01
10
11
00
00
01
01
10
00
11
11
10
11
10
10
10
00
00
00
01
10
11
00
10
10
11
00
11
10
01
00
01
10
10
00
11
11
00
00
10
10
11
10
10
00
10
10
00
01
00
10
10
11
10
00
00
10
10
10
10
00
11
10
00
00
00
11
00
00
10
11
10
00
01
10
10
00
00
10
00
11
00
00
10
11
00
10
00
10
10
00
00
00
01
10
10
01
00
10
00
01
10
01
00
11
10
11
00
11
10
00
11
11
01
00
00
01
10
10
10
00
01
11
10
10
10
11
01
00
01
10
10
10
00
10
01
00
10
00
10
01
11
01
00
10
01
10
11
01
01
10
10
10
01
11
11
00
00
00
10
10
11
01
00
00
10
10
10
10
11
00
00
10
01
01
01
01
00
01
00
10
11
01
01
10
00
10
10
01
00
11
10
00
10
10
10
11
01
11
00
10
11
01
01
00
00
11
01
01
10
10
01
11
10
00
01
11
10
00
00
10
00
00
11
10
10
00
00
10
01
11
10
11
11
00
11
10
01
10
10
00
11
10
11
00
01
11
10
10
01
11
10
01
00
00
10
00
11
10
00
10
10
00
00
10
11
10
00
10
01
10
10
01
00
00
10
10
11
10
10
00
01
00
01
10
10
00
11
00
01
01
10
00
00
00
00
00
00
10
10
00
00
10
01
01
01
11
11
10
11
10
00
10
10
00
01
10
11
10
00
01
01
10
00
01
10
10
10
00
11
10
11
00
00
10
00
00
11
10
00
10
11
10
00
00
10
10
00
00
10
10
10
10
01
10
01
00
00
11
00
01
10
01
00
10
10
00
00
00
00
00
10
10
10
10
10
00
00
00
00
11
11
00
00
00
00
11
00
01
10
01
00
11
11
00
10
11
10
00
01
10
00
00
01
00
00
00
10
01
00
10
01
00
10
00
00
11
10
00
01
01
11
00
00
10
10
00
11
01
10
00
00
11
01
00
10
10
00
00
01
00
11
10
00
11
11
10
01
11
10
00
10
00
00
11
10
00
00
00
01
01
10
10
10
11
01
00
00
00
10
00
10
00
01
10
10
11
00
10
11
10
00
00
01
11
01
10
10
10
11
10
00
00
00
01
00
11
10
01
10
00
10
11
10
01
00
01
00
10
11
00
00
10
01
00
10
10
00
11
11
00
01
10
00
00
00
00
10
00
00
11
10
11
10
00
01
00
00
00
10
10
11
01
00
11
10
10
11
00
00
00
01
00
10
10
01
10
01
10
10
00
01
00
00
01
11
01
00
01
11
01
11
01
00
10
11
00
00
10
11
00
00
00
11
10
00
00
10
10
00
11
10
00
00
10
01
01
00
00
01
11
00
11
10
10
10
01
00
01
10
10
00
00
00
10
00
10
00
00
00
00
11
01
00
00
01
00
10
00
01
11
10
00
01
00
10
11
11
00
00
00
01
01
00
11
10
00
00
10
10
10
00
00
01
10
10
11
10
01
00
00
11
00
10
10
10
01
00
10
01
11
10
00
10
00
00
00
11
10
00
01
11
10
00
10
00
11
01
01
00
10
10
00
10
11
11
01
00
10
00
00
01
00
01
00
00
10
11
00
11
10
00
00
01
11
11
10
10
00
00
00
01
11
10
11
11
10
10
00
10
00
10
10
00
10
10
00
01
00
00
00
10
11
10
00
10
00
10
11
10
10
10
00
00
10
11
01
11
11
00
11
10
10
00
00
10
10
00
10
10
00
10
00
01
00
11
00
10
00
11
10
10
11
00
00
10
10
01
10
11
00
10
00
11
00
00
00
01
10
00
10
10
00
00
10
00
00
10
10
11
00
01
10
10
00
00
10
10
01
10
01
01
11
01
10
00
10
10
01
01
10
10
00
10
00
00
00
00
10
10
10
00
10
10
00
01
10
01
10
00
10
11
11
10
11
10
10
01
01
10
00
00
10
11
00
00
00
10
11
10
11
00
10
10
11
01
00
00
10
00
00
00
10
11
10
11
10
10
01
00
11
10
11
00
00
10
00
00
11
11
01
10
00
11
11
00
00
01
10
01
00
01
00
11
10
11
11
00
10
11
10
00
01
10
01
01
01
11
11
11
10
00
00
10
10
11
00
00
01
11
11
00
01
10
10
00
01
00
10
01
00
10
00
01
10
00
00
11
10
00
10
10
00
00
00
10
10
00
10
10
10
00
11
00
01
10
01
10
00
00
01
10
11
10
10
00
00
10
10
01
11
11
01
10
01
11
00
01
00
11
10
00
01
00
01
00
10
10
10
10
00
00
11
10
10
00
10
10
10
01
11
01
10
00
11
10
10
01
01
10
10
01
11
10
01
00
11
10
11
00
11
10
00
00
10
11
00
00
11
11
01
10
01
10
10
00
00
00
01
10
10
10
10
00
10
11
10
01
10
10
00
01
10
10
00
00
00
11
11
01
10
00
01
10
10
10
00
10
01
00
11
11
10
01
01
00
10
00
00
01
00
01
10
00
10
10
11
01
11
11
10
00
00
00
10
00
10
00
10
10
10
00
10
00
01
11
11
00
01
10
00
10
11
10
00
10
10
11
01
10
10
01
00
10
10
00
11
00
01
10
00
10
00
10
11
00
00
10
11
00
00
01
10
01
00
11
00
00
10
11
00
01
00
00
10
00
11
10
01
01
00
00
11
01
10
10
01
01
10
01
10
11
00
11
00
01
11
00
00
01
10
01
10
11
10
11
01
01
11
10
10
00
11
10
00
00
10
11
10
00
11
01
01
10
00
00
00
00
10
10
01
10
00
11
11
00
00
11
10
00
00
10
00
00
11
10
11
00
00
00
11
01
00
00
10
11
00
00
10
00
00
01
10
00
00
10
10
11
01
11
11
01
10
00
10
11
10
01
00
11
11
11
10
11
01
00
01
11
00
00
00
10
10
00
01
00
00
10
10
10
00
10
00
10
10
00
10
11
01
00
10
01
10
11
11
01
01
10
10
01
11
11
10
00
00
11
10
00
00
10
10
10
00
11
10
00
00
10
11
10
01
10
00
00
10
00
10
11
00
01
10
11
01
00
00
00
10
00
01
10
10
10
00
00
00
00
00
00
10
00
10
10
10
10
00
00
00
10
11
00
10
11
10
00
10
10
10
00
10
10
10
10
10
01
00
11
10
00
10
11
01
10
10
00
00
01
00
00
10
00
01
01
00
10
01
11
00
01
10
11
00
00
01
10
01
00
00
10
10
10
00
01
00
10
00
00
10
10
00
00
00
01
10
10
00
10
10
10
01
10
10
11
10
11
10
10
00
10
10
00
11
10
10
11
01
00
10
11
00
00
11
00
00
10
11
00
11
01
11
10
00
01
10
00
00
10
11
00
00
10
10
00
11
10
01
00
00
00
10
01
01
01
10
10
00
00
10
10
00
00
11
10
00
01
00
01
10
11
10
10
11
01
00
00
10
10
00
10
10
01
00
01
01
01
11
01
10
11
01
10
00
00
11
10
00
10
01
00
00
00
00
00
10
00
10
10
10
10
01
10
10
01
00
01
01
00
10
01
10
00
00
11
00
00
11
11
10
11
10
11
10
00
01
10
11
01
10
11
00
11
10
11
00
00
11
11
00
01
00
11
10
10
10
10
00
10
00
10
11
00
10
00
11
11
11
10
01
00
01
00
10
10
00
11
10
01
01
01
00
10
11
01
10
10
00
00
00
00
10
01
11
01
00
10
00
00
01
00
11
10
11
00
11
00
00
00
00
10
10
01
00
01
11
10
10
10
10
01
10
11
00
00
01
10
10
00
10
00
10
10
00
10
10
11
01
01
00
00
10
00
01
11
10
10
00
00
11
01
00
11
01
11
10
00
00
00
10
10
10
00
01
11
01
11
11
00
10
00
11
10
01
01
10
10
00
00
10
00
01
10
10
00
01
11
00
11
10
00
10
10
00
11
10
00
01
00
00
00
10
00
01
11
00
00
00
11
11
11
01
10
10
10
11
00
00
11
10
00
11
00
00
00
00
10
00
00
01
00
01
00
10
00
01
10
10
00
00
10
01
00
10
11
10
01
11
01
00
10
10
10
00
01
10
10
00
00
00
00
00
10
10
11
10
00
10
10
11
10
00
00
00
10
01
00
11
00
10
10
11
00
01
00
00
00
11
00
10
00
01
11
11
00
11
00
00
00
00
10
10
10
10
11
00
10
10
10
10
11
00
01
01
10
10
11
01
01
11
11
10
11
00
01
10
00
00
01
10
10
10
10
00
01
10
11
10
01
00
10
01
10
00
00
10
01
10
10
00
00
10
10
11
10
11
11
00
10
10
01
10
00
11
11
00
10
10
00
10
00
11
11
01
00
10
11
10
11
10
10
01
01
10
01
00
00
10
00
00
01
11
10
11
00
00
11
00
10
00
11
10
10
00
01
00
01
00
00
00
00
10
10
10
00
10
10
00
10
01
00
11
00
00
11
00
00
10
01
01
10
00
11
10
10
01
00
00
10
11
01
11
00
10
01
10
10
10
00
01
10
01
11
10
10
10
01
00
10
10
10
01
10
10
10
00
10
01
00
01
01
01
11
00
10
00
01
11
11
11
00
01
10
01
00
10
11
01
00
10
01
00
10
11
10
11
10
01
01
10
11
00
11
10
00
00
11
10
00
11
10
00
00
10
10
00
00
11
11
10
10
10
10
01
01
00
00
11
00
00
00
01
10
00
11
10
11
00
10
11
00
00
00
10
10
01
01
01
10
10
10
00
10
10
11
00
00
10
11
10
11
00
00
01
00
01
11
00
10
10
10
10
00
11
01
11
11
01
10
01
11
01
11
11
00
10
10
00
01
10
00
10
10
00
00
10
00
01
10
10
00
10
00
01
01
10
11
00
11
10
00
10
10
10
00
00
00
10
11
00
00
11
11
10
10
00
01
10
11
11
00
11
10
11
10
00
01
10
01
00
10
11
10
01
00
11
10
10
00
10
10
00
00
00
10
10
00
00
10
00
01
00
00
11
10
10
10
00
11
11
10
00
11
00
00
10
00
10
11
00
01
00
10
00
10
00
11
11
01
01
10
01
10
01
11
11
00
01
00
11
00
00
01
11
10
00
00
10
10
00
00
00
10
01
00
00
00
10
11
00
00
10
01
10
10
10
11
10
10
10
01
00
00
00
00
00
11
11
11
00
10
11
00
10
00
00
00
11
10
10
00
00
10
10
01
10
00
00
10
10
10
00
11
00
11
10
00
11
01
10
11
00
10
10
00
00
11
10
00
00
11
10
01
00
11
01
11
00
01
10
01
10
11
01
01
10
10
10
00
01
10
00
01
10
10
01
11
00
00
11
10
10
10
00
00
11
00
01
01
00
00
10
10
10
11
01
10
10
00
11
01
00
00
01
10
01
10
10
01
01
10
10
10
00
10
10
10
11
00
11
00
10
00
01
10
10
10
00
00
10
00
00
11
10
00
10
00
01
10
00
00
10
11
00
10
00
00
10
01
10
00
01
11
10
01
01
00
10
10
11
11
01
00
10
10
11
01
10
00
10
01
00
10
00
01
10
00
10
10
00
00
10
10
00
01
01
00
11
10
11
11
01
00
00
01
00
10
10
00
01
11
01
10
10
00
00
00
10
01
00
10
01
10
11
00
00
11
10
11
11
00
00
10
10
11
01
00
10
10
01
10
10
11
11
10
01
01
00
00
11
01
11
00
00
11
01
00
00
00
11
10
01
11
01
10
10
10
11
01
01
00
00
10
00
11
11
10
00
00
00
10
11
00
10
10
10
10
10
10
00
10
11
11
11
11
11
10
11
00
00
00
10
10
11
01
00
01
01
10
10
10
10
00
01
10
11
00
10
10
10
00
00
00
11
00
11
01
00
11
01
10
11
10
11
00
01
10
10
11
00
00
00
01
10
10
00
00
01
10
00
00
10
10
10
00
01
00
11
10
00
00
01
10
00
10
10
00
01
01
10
00
00
00
10
11
10
01
01
10
10
00
11
10
10
00
00
10
01
10
01
01
11
11
00
10
10
01
01
01
10
10
00
00
10
10
00
00
11
10
01
00
00
10
10
10
10
10
00
10
10
10
10
10
00
00
10
10
00
10
10
00
01
00
11
11
00
11
00
01
00
10
10
10
00
00
10
10
00
10
10
11
01
01
00
10
00
00
00
00
00
11
10
00
01
00
00
10
11
10
01
00
11
00
01
10
11
00
00
00
10
00
00
11
10
00
11
00
01
10
10
00
10
01
00
00
11
00
10
00
00
10
00
00
10
10
01
11
01
10
10
10
10
11
01
01
10
10
10
10
00
00
10
11
01
11
10
10
01
00
00
00
10
10
00
00
10
10
00
01
11
10
10
01
00
10
00
00
00
10
00
00
00
01
00
11
10
00
11
01
11
00
01
10
01
00
00
11
10
01
00
00
10
00
00
10
00
01
00
01
11
00
10
10
11
00
01
10
10
00
01
10
01
10
10
00
01
10
00
00
10
11
00
01
11
11
01
00
01
00
11
10
11
00
00
10
10
01
00
10
00
00
10
00
10
00
11
01
00
10
10
00
11
00
10
01
00
01
00
10
10
00
10
10
11
01
10
00
00
10
10
10
01
10
00
00
10
01
00
10
00
00
11
10
10
00
11
10
10
01
01
00
11
11
01
00
10
00
00
10
11
10
00
10
00
00
10
00
00
10
01
10
11
10
01
00
10
11
10
10
01
01
11
11
10
10
10
01
10
00
01
11
01
00
00
10
10
00
01
11
10
00
10
01
10
11
00
11
10
10
01
10
01
00
00
00
00
11
00
00
10
10
01
00
00
01
11
00
01
10
01
00
10
11
00
10
10
00
00
00
11
00
10
01
00
00
10
10
10
10
00
10
00
01
00
10
00
00
01
01
01
01
00
00
10
11
00
01
10
10
10
01
00
11
10
10
01
10
00
00
10
11
00
00
01
01
10
00
11
00
00
01
00
10
00
10
00
10
11
10
11
10
11
00
11
00
10
10
10
10
00
10
11
01
00
01
11
10
10
10
00
01
00
10
10
10
00
01
10
10
10
10
10
11
01
11
00
00
01
00
00
10
00
11
00
00
10
01
00
11
10
00
10
10
10
01
00
10
11
11
01
01
10
00
01
01
10
11
10
10
00
10
00
10
11
01
00
10
10
00
11
00
00
10
11
00
11
10
01
10
11
10
00
11
11
10
11
10
11
10
11
10
01
00
10
10
01
00
10
10
01
01
10
01
10
11
00
10
00
01
00
01
11
10
01
01
10
10
00
01
11
10
11
00
00
10
00
00
10
10
01
00
00
10
10
00
10
00
10
11
01
00
11
10
10
01
01
00
00
11
10
01
01
01
10
01
10
11
10
01
00
11
10
11
10
00
01
11
00
00
00
10
10
10
10
01
00
01
01
00
11
10
11
00
00
11
10
11
00
00
00
10
01
10
00
10
10
00
10
00
10
01
10
10
01
10
10
11
01
10
10
00
11
01
11
00
00
11
10
10
00
10
10
10
00
00
11
10
11
10
10
00
01
10
10
01
00
01
00
00
00
10
11
00
10
10
10
10
01
01
00
01
01
00
10
00
10
00
01
00
10
10
01
00
11
11
01
01
00
11
10
01
00
10
11
00
11
00
01
10
10
00
00
11
10
10
01
00
00
10
10
10
10
11
00
11
10
00
01
01
00
10
01
10
00
10
00
01
11
11
00
10
10
00
01
10
11
00
00
10
10
10
00
11
10
00
00
00
00
10
10
10
10
00
11
11
10
01
11
11
01
10
00
00
00
10
00
01
10
00
00
10
11
00
00
10
00
11
10
10
00
11
01
01
10
11
00
10
11
10
00
00
00
11
10
00
00
10
10
01
10
11
00
10
10
00
10
10
01
01
00
10
00
10
01
00
10
01
10
10
01
10
01
01
00
10
10
00
00
10
00
10
00
10
10
10
10
10
00
01
01
00
01
10
00
00
10
10
10
10
01
00
10
00
01
00
01
10
11
00
00
00
11
01
11
10
00
00
10
10
11
10
00
00
10
10
01
00
11
10
10
01
01
11
10
11
01
00
10
00
10
10
10
00
11
11
00
10
11
00
10
11
10
00
00
10
00
01
00
00
11
10
11
10
10
00
00
10
10
01
10
11
00
00
00
01
01
11
10
01
01
00
10
11
00
00
00
10
00
00
00
10
11
00
10
01
00
01
10
00
00
10
11
00
10
11
10
00
00
00
10
10
01
01
00
10
10
00
10
10
00
00
10
10
01
01
11
01
11
10
01
10
11
10
01
00
00
00
11
10
01
00
00
10
11
00
10
11
00
11
11
11
00
00
11
11
01
10
10
00
10
10
00
00
00
10
10
00
11
11
10
11
10
00
01
01
11
11
00
00
00
10
00
00
11
10
10
00
10
00
11
10
00
00
11
10
10
10
00
00
10
00
01
10
11
10
10
11
01
00
00
10
11
00
01
10
00
00
10
00
00
11
10
00
00
10
10
00
00
10
10
10
10
00
10
00
00
10
11
10
00
01
01
10
00
00
00
10
00
00
10
00
11
10
00
00
10
00
00
10
01
10
11
10
10
10
00
00
10
00
01
00
01
01
11
10
00
10
10
10
01
00
11
11
01
00
00
00
11
10
10
00
00
01
10
01
11
10
01
11
00
10
01
01
10
11
10
01
11
00
00
00
10
10
00
00
00
10
01
10
10
00
00
10
01
00
11
01
01
00
00
00
01
00
10
00
11
10
10
00
10
11
11
00
01
10
10
01
00
10
10
10
00
10
10
10
00
00
11
10
01
11
11
10
00
10
01
10
10
11
01
11
00
01
10
00
00
01
11
11
10
11
10
00
00
00
01
10
10
00
11
10
11
10
10
11
00
11
00
00
10
00
10
10
11
00
10
00
10
00
10
01
00
10
11
10
10
00
10
10
01
10
01
10
01
01
01
00
01
00
11
11
10
10
11
10
01
01
01
10
11
11
10
00
00
00
00
10
10
10
01
00
11
00
10
11
00
00
10
10
01
11
10
00
10
11
00
01
00
11
01
11
11
10
01
00
10
00
00
10
01
11
10
10
00
10
10
01
00
00
11
10
11
01
10
10
00
01
11
00
00
10
10
01
00
10
10
00
00
10
01
00
00
11
11
00
00
00
11
10
10
11
01
10
11
01
01
10
00
10
10
00
01
01
00
10
11
10
00
10
00
10
00
11
11
00
01
10
01
00
01
01
11
11
10
10
01
01
10
10
10
10
10
01
00
01
00
11
11
10
00
00
00
10
10
00
10
10
10
00
01
10
10
10
00
11
00
10
00
00
11
10
00
00
11
11
10
01
10
11
11
00
00
10
11
00
11
00
00
01
00
10
10
10
10
00
10
10
10
10
10
00
00
10
00
11
11
11
00
10
10
10
11
00
01
10
10
00
01
00
00
10
00
01
11
01
00
10
10
11
10
01
01
10
11
11
10
10
01
00
10
00
01
10
10
00
00
00
01
10
10
00
00
01
10
01
00
11
11
10
00
10
10
10
01
00
10
01
11
10
00
10
11
01
11
10
00
00
11
10
10
01
10
01
00
11
11
10
10
01
01
10
01
00
10
11
00
10
00
11
10
11
00
00
11
11
10
10
10
00
10
00
10
00
11
10
00
00
10
10
10
10
01
00
11
00
00
00
01
10
11
00
01
10
10
10
10
00
00
01
10
11
10
10
00
00
00
00
10
11
10
10
01
11
00
10
00
01
01
11
10
01
00
11
00
01
11
10
11
00
11
10
00
01
10
00
00
10
01
00
00
10
00
00
00
00
10
10
00
10
11
00
10
00
00
00
01
10
11
10
01
10
10
10
00
01
11
11
10
11
01
01
00
00
10
00
00
10
10
00
10
10
10
10
11
01
00
01
10
00
10
01
00
10
11
01
10
11
10
00
00
00
01
11
10
01
11
01
00
00
11
00
01
10
00
10
00
11
11
11
00
00
10
00
11
10
00
10
10
00
00
00
00
00
10
10
01
10
10
11
00
00
10
00
10
11
10
00
10
11
01
00
10
01
10
11
00
00
10
10
00
10
01
01
10
10
10
10
10
00
00
00
10
00
11
10
10
01
00
10
10
11
10
00
10
10
11
00
10
10
01
11
10
00
01
10
00
10
10
00
10
00
01
00
01
10
10
00
10
11
00
11
10
10
00
01
00
11
10
00
00
11
10
01
10
11
01
11
01
00
11
00
10
00
11
10
01
00
00
11
00
10
11
01
00
10
01
00
01
00
11
00
10
10
10
01
00
00
10
10
00
11
01
00
10
10
10
00
11
00
00
11
00
10
01
10
01
01
11
00
11
00
11
10
00
01
10
10
00
10
11
10
01
10
11
11
11
01
00
00
10
10
00
11
11
00
01
00
10
10
00
00
10
10
10
11
00
00
00
10
10
00
11
00
01
10
00
01
11
00
11
10
01
00
01
10
10
00
11
00
10
10
01
10
10
01
00
00
11
10
00
00
01
10
01
10
11
00
10
11
00
10
10
10
01
00
00
00
10
10
00
00
00
10
00
10
10
01
00
00
00
10
10
10
01
00
11
00
01
11
00
10
10
10
00
11
11
00
01
01
00
00
10
10
11
11
01
00
11
00
10
10
00
00
10
10
00
10
10
00
10
00
00
11
11
10
11
11
00
11
00
01
00
10
10
01
00
11
11
00
01
11
10
10
10
01
00
01
11
00
01
00
10
10
10
01
00
11
10
10
00
10
00
01
10
10
10
01
10
00
00
00
01
00
10
00
10
00
00
10
10
00
10
00
00
01
01
00
11
10
00
10
00
01
01
10
10
10
10
00
00
00
10
11
10
00
01
00
00
10
00
10
00
10
00
10
11
11
11
01
10
00
00
00
11
10
01
00
10
10
01
11
11
00
00
10
11
00
01
00
10
11
11
00
11
10
00
01
11
10
10
00
01
11
10
10
10
00
00
10
00
00
00
10
11
00
10
10
01
10
11
00
00
00
00
10
00
11
00
10
10
00
00
01
11
11
00
00
11
10
00
01
10
10
10
00
11
11
00
10
00
00
01
11
01
00
01
10
10
10
00
10
11
00
00
01
01
00
00
00
11
00
00
11
10
00
10
00
10
10
11
01
11
10
10
00
10
10
01
00
11
11
00
00
00
10
11
00
00
00
00
01
00
11
10
01
01
10
00
00
10
10
10
00
10
00
00
10
10
10
00
00
01
00
01
11
01
00
10
00
10
00
01
11
10
01
00
10
01
10
11
01
00
10
11
10
00
11
10
00
11
01
10
11
01
10
00
10
00
00
11
10
10
00
00
10
00
00
00
01
11
00
01
10
00
00
11
10
11
00
00
01
11
00
11
00
01
01
00
11
10
01
10
00
00
10
01
01
01
10
10
00
00
00
10
10
00
01
11
10
01
00
01
10
10
00
01
11
01
01
10
00
00
10
10
10
01
00
00
11
10
10
00
10
00
00
10
11
10
01
00
00
00
11
10
01
11
11
00
10
01
01
00
01
10
10
00
00
01
10
11
10
11
00
11
01
00
01
10
01
00
10
10
00
10
00
10
10
00
10
10
11
01
10
00
01
10
01
10
11
10
00
10
11
00
00
11
10
10
00
01
10
00
11
10
00
00
00
10
10
00
00
10
01
00
00
11
10
00
10
00
01
10
10
11
11
01
00
01
00
11
01
00
10
11
10
01
01
01
10
10
01
10
10
00
11
10
00
01
10
00
00
10
01
10
10
11
00
10
00
01
10
01
00
11
10
10
11
01
10
11
10
00
01
00
10
10
01
11
01
01
11
01
00
10
11
10
01
01
10
01
01
11
00
10
11
10
11
00
10
01
00
10
10
10
00
10
00
01
01
00
00
10
00
10
00
10
01
00
10
10
00
11
00
00
11
01
10
00
00
10
00
10
10
10
00
10
10
10
01
10
01
01
10
00
00
10
00
00
10
11
10
11
00
01
01
10
01
11
00
00
10
01
00
10
10
11
01
00
00
11
11
01
00
10
11
00
01
10
01
01
00
10
00
00
00
10
11
10
10
00
00
10
11
00
00
11
01
00
11
10
11
10
11
10
01
10
01
10
10
10
00
10
01
01
11
10
00
00
10
10
01
00
11
10
11
01
00
10
00
10
00
00
10
01
01
11
10
10
00
00
01
11
10
01
10
10
10
10
00
10
01
00
10
00
01
01
11
01
01
01
01
01
01
01
10
10
00
01
10
00
00
11
10
10
10
00
11
00
00
10
00
00
10
00
10
10
00
00
11
00
00
00
10
00
00
01
11
00
01
10
10
10
10
00
00
00
11
10
10
00
10
10
01
00
10
10
00
10
01
00
00
00
11
11
10
00
01
10
01
11
11
10
11
00
01
10
11
00
00
11
11
10
00
00
01
00
10
10
00
01
10
00
01
11
10
10
01
00
11
10
00
10
00
11
00
01
10
00
10
11
10
01
01
00
00
00
10
01
10
11
00
00
10
10
10
00
01
10
11
10
10
11
01
01
11
10
00
10
01
00
00
10
10
01
01
01
10
10
11
01
10
10
00
00
10
00
10
10
10
01
00
01
00
00
10
01
11
01
01
10
11
01
01
10
11
00
01
00
00
10
00
10
00
10
10
10
01
00
10
10
00
10
01
10
10
00
10
01
01
10
11
01
00
01
00
00
10
10
00
00
10
10
01
00
11
11
10
00
00
10
00
01
11
10
00
10
10
01
10
10
11
10
00
10
00
01
11
11
00
10
01
01
01
00
11
10
10
01
11
11
00
00
01
11
10
10
10
00
00
00
11
01
10
00
00
10
11
00
10
11
00
01
10
00
00
10
00
00
10
10
00
01
10
10
01
10
01
10
10
00
00
11
11
10
01
01
10
00
00
10
10
01
00
10
00
10
01
10
10
10
11
10
01
11
00
01
00
11
10
10
00
01
11
11
10
01
10
00
00
00
11
11
10
01
10
00
10
10
00
11
01
10
11
10
11
01
00
00
11
10
00
00
10
01
00
01
11
01
01
00
00
11
10
00
01
10
10
10
00
11
00
11
11
01
00
10
10
01
10
10
00
00
00
11
00
10
10
10
00
00
11
00
01
00
10
11
10
00
10
10
00
00
11
00
00
10
10
00
10
10
10
00
10
10
10
10
00
10
00
10
00
00
00
10
10
10
10
11
11
01
10
00
10
10
00
11
01
01
00
00
00
10
10
00
11
10
11
11
00
10
10
10
10
00
00
10
11
11
11
00
00
10
00
00
11
01
10
10
11
10
10
10
00
01
10
10
11
11
01
01
11
00
10
00
01
01
10
10
00
10
11
10
10
11
11
00
01
10
00
01
01
10
00
00
10
00
00
00
10
11
10
00
11
01
10
01
00
00
10
11
01
10
10
11
10
10
00
01
00
10
11
10
11
10
10
00
11
11
01
01
11
10
11
10
10
11
00
00
01
10
10
00
00
10
10
00
00
10
10
00
00
10
10
11
10
00
00
10
11
00
11
00
10
11
01
10
11
00
00
00
10
11
11
00
00
00
00
01
00
01
00
10
11
01
00
10
11
00
10
11
00
11
10
11
10
00
00
01
00
10
00
00
00
10
10
00
10
10
10
10
00
00
00
10
01
00
00
00
00
10
11
10
01
10
00
11
10
00
11
11
01
10
10
00
01
00
00
11
00
00
11
10
01
00
11
10
10
00
00
11
10
00
10
01
10
00
00
01
10
11
00
11
10
01
00
01
10
11
11
10
11
00
00
11
11
01
00
11
11
10
00
10
01
01
10
01
10
10
10
00
00
00
11
10
00
11
10
01
00
10
11
00
01
10
01
01
10
00
00
00
10
00
01
10
00
01
10
00
11
10
10
00
00
11
10
10
00
00
11
10
11
00
00
00
10
10
11
10
10
00
01
00
00
11
11
00
11
01
00
10
01
01
10
00
01
11
11
11
01
00
10
10
01
10
11
11
00
00
10
00
01
00
11
11
01
11
10
01
00
00
10
00
00
10
10
10
10
00
10
01
00
01
11
01
01
10
00
10
01
01
10
11
01
00
10
10
10
00
00
10
01
10
00
00
01
10
00
00
10
01
00
11
00
10
10
11
00
00
10
11
11
10
00
11
10
01
00
10
10
00
10
10
10
00
01
10
11
10
10
01
10
00
01
10
10
10
00
10
00
00
10
00
00
00
10
10
01
00
10
00
10
00
00
00
01
01
01
11
00
00
00
00
00
10
10
01
00
00
10
00
00
11
11
11
10
00
10
10
00
10
00
00
11
11
10
00
00
11
10
01
01
01
10
10
10
00
00
00
10
11
00
00
11
01
00
11
01
10
11
10
01
11
00
00
10
10
11
10
00
00
00
10
00
10
10
10
11
00
10
11
00
00
11
00
11
10
11
11
10
01
01
10
11
00
00
01
10
11
00
10
10
10
00
00
00
11
10
00
10
10
10
10
01
00
01
10
01
10
00
10
01
00
11
01
10
10
00
11
11
00
00
11
10
01
11
10
10
10
10
10
01
01
11
10
00
00
01
01
00
00
11
10
01
00
10
10
01
10
10
11
01
10
10
10
10
11
01
10
01
00
10
11
11
00
11
01
10
10
01
00
10
00
00
10
10
00
00
00
00
00
11
00
00
10
11
10
01
11
00
10
10
01
10
10
00
00
10
10
01
01
00
11
10
00
10
00
00
10
01
10
00
00
10
00
00
01
00
00
11
00
01
01
10
01
00
10
10
00
00
10
10
00
10
00
01
00
00
01
10
00
00
10
10
11
00
00
00
10
00
01
10
11
01
01
11
10
00
10
10
00
10
00
01
00
01
00
00
10
11
01
00
10
11
00
00
00
01
10
10
01
10
00
00
11
01
00
10
11
10
00
10
00
10
10
00
10
00
00
00
01
10
01
10
00
11
11
10
01
00
11
10
00
00
10
10
00
10
10
00
01
00
10
10
01
10
10
10
00
01
10
10
10
01
00
10
10
11
10
01
01
10
00
11
10
01
11
11
00
00
01
10
10
00
01
01
00
10
00
10
00
00
10
10
10
01
01
00
01
11
00
00
00
00
10
10
00
11
01
00
10
01
10
11
11
10
00
11
10
00
01
10
11
11
01
10
10
10
01
10
10
10
01
00
10
00
11
00
10
11
01
10
01
01
10
00
01
00
10
00
01
10
10
01
00
10
10
10
10
10
00
10
10
00
10
11
00
01
00
00
11
00
00
00
01
10
10
01
10
00
10
10
00
01
11
00
00
11
00
11
10
00
00
00
10
00
01
10
00
01
10
10
10
00
01
00
00
10
01
01
11
01
10
01
00
00
00
10
00
00
11
10
00
01
10
11
10
10
10
00
00
00
00
11
10
00
10
10
00
10
10
00
01
10
11
01
10
11
10
10
00
10
01
10
00
10
11
00
01
00
11
00
11
00
10
11
00
10
11
00
01
10
00
01
10
10
00
11
01
00
10
11
11
00
10
01
00
00
00
00
11
00
10
00
11
00
00
01
00
10
11
01
11
11
10
01
10
10
01
01
10
10
00
10
01
10
11
10
00
00
00
00
00
00
01
01
10
11
11
11
11
00
11
01
00
10
11
10
10
00
00
10
00
00
00
11
10
11
00
00
10
10
00
10
00
01
10
11
00
10
01
01
00
10
00
11
11
00
10
00
10
00
11
11
10
01
00
10
11
10
00
01
11
01
10
11
10
10
00
11
10
11
10
01
00
10
10
00
00
11
00
00
10
10
00
00
10
10
01
00
01
10
10
10
00
11
00
00
11
10
00
00
10
00
10
10
10
01
10
00
01
10
01
01
00
11
00
11
00
00
10
10
11
01
10
10
00
01
10
00
01
01
11
11
10
10
10
01
01
10
11
11
10
00
10
00
10
01
00
00
11
10
11
10
10
11
11
01
00
11
10
10
01
11
11
01
10
10
11
00
01
10
00
10
01
11
00
10
10
11
11
11
10
00
10
10
01
10
10
00
01
01
10
00
01
11
00
00
11
11
00
01
10
00
11
11
00
00
01
10
01
01
10
01
00
10
01
10
10
10
00
00
10
11
10
01
11
01
11
00
10
11
11
01
10
11
00
00
00
11
00
00
10
10
11
11
00
10
10
00
10
01
11
00
00
00
00
10
10
10
10
01
10
00
00
00
10
10
11
10
00
11
10
10
10
00
00
11
10
10
11
00
00
10
00
00
10
11
01
01
00
00
01
10
00
10
01
00
00
10
11
11
01
00
01
10
11
11
00
11
10
01
10
10
00
00
10
10
10
01
00
10
10
10
00
01
10
11
01
00
11
01
01
10
11
00
10
01
00
00
10
10
01
10
11
10
10
01
01
00
00
01
11
01
11
11
01
00
10
00
01
10
10
00
00
01
10
11
00
01
00
10
11
00
10
10
00
00
10
10
10
10
00
00
00
00
01
01
11
11
00
10
00
00
10
10
00
00
00
10
00
10
10
10
00
00
10
10
00
00
00
01
10
01
01
01
00
01
10
11
00
00
00
10
10
10
01
00
01
01
10
10
01
01
11
11
01
00
10
11
10
00
00
00
11
01
10
10
00
00
10
10
10
10
10
01
00
10
10
10
01
11
11
00
10
10
01
11
10
01
00
10
00
11
00
00
11
10
11
00
01
10
01
01
01
10
10
00
01
00
10
10
00
11
10
11
00
01
11
10
00
00
10
00
01
10
10
10
01
10
00
11
00
01
10
00
01
00
01
10
10
00
10
10
00
11
10
11
00
11
11
01
01
10
10
01
00
10
01
11
10
11
00
01
11
10
01
00
10
10
00
00
00
10
11
01
10
10
10
11
11
00
11
01
00
00
01
01
11
10
00
10
10
00
11
01
00
10
01
10
10
11
00
01
01
00
11
10
10
01
00
11
10
00
00
11
00
10
11
00
01
00
11
00
11
01
01
01
01
10
10
00
00
11
10
10
10
01
01
00
11
00
00
00
00
10
10
10
00
01
01
01
00
10
10
00
01
10
10
00
00
00
11
10
11
10
00
11
00
11
11
10
00
01
10
10
10
01
01
10
00
01
10
00
10
10
11
11
11
00
10
00
10
00
01
00
10
10
11
00
11
10
00
11
10
10
10
00
00
01
00
11
00
00
11
00
10
11
10
00
10
10
00
00
11
10
01
00
10
10
10
00
00
01
10
00
01
11
00
01
00
00
00
10
10
00
10
11
10
00
10
10
01
00
11
00
01
10
01
00
00
11
10
00
00
00
00
11
01
10
10
00
10
10
10
11
01
01
00
10
00
10
10
00
00
10
10
01
00
00
10
10
10
00
00
10
10
00
10
10
11
00
10
00
00
11
11
11
00
00
11
10
11
10
00
00
01
10
01
01
10
10
10
00
10
00
01
10
11
00
10
10
00
00
10
11
00
11
00
00
00
11
10
00
00
10
01
00
00
00
01
01
11
00
00
10
10
01
11
11
00
10
11
00
00
00
11
10
00
00
10
01
01
01
00
10
10
00
10
10
00
00
11
11
00
01
10
01
10
00
00
10
10
01
10
11
10
00
00
10
11
00
01
11
00
01
11
10
10
00
01
01
00
10
11
10
01
10
10
10
00
00
00
01
11
10
01
01
10
11
01
00
11
00
01
10
11
01
00
10
10
10
01
11
01
10
10
11
10
11
10
00
00
01
11
00
00
11
10
00
00
10
10
10
00
00
00
10
00
10
10
01
10
01
11
10
10
10
01
01
11
10
00
01
10
01
10
10
01
00
01
11
01
10
01
10
01
01
11
00
00
10
11
10
10
11
00
01
11
00
00
10
00
00
00
11
10
01
10
00
10
10
11
11
10
01
01
00
00
10
10
10
10
00
11
10
00
00
01
00
01
00
10
00
01
00
10
10
01
00
01
11
00
11
01
00
10
11
00
10
10
00
00
11
10
00
10
00
11
00
00
11
01
10
01
00
00
01
11
01
10
11
01
01
10
10
11
00
00
10
10
00
01
00
11
00
10
11
10
10
10
10
01
10
00
00
10
11
10
10
10
10
00
11
11
01
01
11
10
00
00
10
00
10
11
01
11
10
00
00
00
10
10
00
00
11
10
11
10
00
00
10
00
10
10
01
00
10
10
01
01
10
00
00
11
00
11
10
10
10
01
00
10
11
01
10
01
10
10
01
00
00
00
01
10
10
11
10
10
10
01
10
11
00
00
01
10
00
11
10
11
10
10
11
10
01
10
01
01
00
01
10
11
00
01
10
10
00
01
11
10
00
10
10
11
00
00
10
01
11
00
10
10
11
00
00
01
10
10
10
10
01
01
01
00
00
00
00
01
10
10
10
11
00
00
10
00
00
10
10
01
00
01
00
01
00
10
01
11
11
01
10
00
10
10
11
00
00
10
10
00
10
00
01
11
10
10
00
00
10
11
10
01
10
10
00
00
01
10
11
01
00
00
11
11
01
11
10
11
10
11
00
00
11
11
01
00
11
01
01
11
01
11
10
11
00
10
10
01
01
10
10
00
00
10
10
01
01
10
10
10
10
10
10
01
00
01
10
10
10
00
00
11
10
00
11
11
01
11
10
00
00
11
10
00
00
10
01
00
00
10
10
00
01
10
00
00
11
00
11
00
00
00
10
10
00
10
11
00
00
00
10
10
11
10
00
10
00
10
10
00
10
11
01
11
10
00
00
00
10
10
01
10
11
00
01
00
10
00
00
00
00
10
10
11
10
10
01
11
00
10
11
00
10
10
01
10
11
00
10
01
11
11
10
00
00
01
01
11
10
11
10
11
00
00
00
11
00
01
10
00
00
11
00
10
01
00
10
10
11
11
00
00
00
10
00
00
10
10
00
11
10
00
11
10
11
01
10
10
10
01
10
00
00
10
10
00
00
00
10
11
11
10
00
00
00
01
00
11
00
10
10
00
01
10
11
00
01
10
10
00
00
10
10
11
00
01
00
00
10
10
10
00
01
11
10
01
01
11
10
10
00
10
11
00
00
00
11
00
00
10
10
10
01
11
10
00
00
00
00
01
10
00
00
00
11
01
01
11
10
11
10
11
01
10
11
00
01
11
00
00
00
10
10
10
10
00
00
00
11
01
00
10
00
01
00
00
00
10
00
01
00
00
00
11
00
11
10
00
11
10
00
00
01
10
10
10
00
01
10
10
00
00
10
00
11
10
01
00
01
10
00
10
10
11
00
10
10
11
01
00
00
00
10
00
10
11
11
00
00
10
00
00
10
11
10
10
00
00
00
11
01
01
01
00
01
10
01
00
10
00
10
11
00
00
10
10
00
01
10
10
00
00
00
11
00
10
00
01
01
10
10
01
00
11
10
00
00
11
10
10
10
01
00
01
11
10
10
10
00
10
10
00
10
00
11
11
00
01
11
10
01
11
00
01
00
01
11
10
11
11
00
00
10
10
00
00
11
11
00
10
00
01
10
00
00
10
11
10
11
00
10
00
11
01
11
00
00
10
01
10
10
10
10
00
10
01
00
11
11
10
01
00
10
00
10
11
10
01
01
01
10
00
00
00
10
00
00
00
10
10
10
10
01
11
11
10
10
00
00
01
11
00
00
11
10
10
10
00
10
00
01
00
11
10
01
00
11
11
10
10
01
00
11
00
01
11
11
00
10
01
10
10
00
00
10
10
00
10
11
10
00
01
11
11
00
10
01
11
01
00
11
10
00
01
11
00
00
10
11
11
00
00
00
10
11
00
00
10
00
00
11
00
01
10
00
00
11
10
11
11
00
10
01
00
10
10
01
01
01
10
10
00
00
00
10
10
11
11
00
10
00
00
00
10
10
00
00
11
10
10
00
10
00
11
01
00
01
01
00
10
00
11
00
11
10
00
00
10
00
11
10
01
10
10
11
01
10
10
00
00
10
00
00
01
10
01
00
10
10
00
01
10
01
01
10
00
01
10
10
00
01
01
10
00
01
11
11
10
00
00
10
10
00
01
10
10
10
10
10
10
11
11
10
01
00
11
10
00
01
01
00
00
11
11
00
10
00
10
10
01
10
10
01
10
11
11
01
01
00
11
11
10
01
01
10
11
10
01
00
10
00
11
10
00
11
11
11
00
00
01
00
10
11
10
00
00
10
01
10
11
10
10
00
10
00
10
11
00
00
10
10
10
11
00
01
01
00
00
11
00
11
11
01
00
10
11
10
10
00
10
10
01
11
11
00
01
10
10
11
10
00
00
00
10
00
10
10
00
10
01
11
00
10
10
11
10
01
10
00
01
10
10
00
11
10
00
10
11
10
10
00
00
00
10
11
10
11
11
00
00
11
00
00
10
10
10
10
10
00
00
10
00
11
10
01
00
00
01
00
11
10
01
10
01
00
01
00
11
10
11
11
00
00
10
10
00
00
01
10
01
10
00
00
01
00
11
01
10
00
10
10
00
10
00
01
10
01
11
00
10
10
11
00
00
10
10
11
01
00
11
10
01
10
11
00
00
00
10
01
01
00
11
10
10
01
11
11
00
00
00
00
10
10
00
00
10
11
01
11
01
00
00
11
11
10
10
00
10
01
00
00
10
10
01
01
00
01
10
00
00
00
11
10
01
00
10
00
01
10
00
01
10
01
10
10
10
00
10
10
11
00
10
10
00
00
01
00
11
00
00
01
11
11
00
00
10
01
01
01
10
01
11
11
00
11
01
01
01
10
10
01
00
10
00
10
10
10
01
00
10
00
10
10
01
10
00
01
10
10
10
01
10
11
11
00
00
00
00
10
10
00
11
01
00
10
10
11
10
01
11
00
01
00
00
00
10
11
10
10
01
01
10
00
11
01
11
00
00
00
10
00
00
11
10
01
00
01
10
11
10
11
10
01
00
11
00
01
11
00
01
10
01
00
10
10
00
01
10
10
00
10
11
10
11
11
01
00
01
00
01
10
11
10
01
10
10
01
00
11
10
10
00
11
10
00
00
10
10
11
01
00
00
11
00
11
00
10
10
11
00
01
01
10
01
10
11
00
00
11
01
11
10
10
10
10
00
00
10
10
00
00
00
01
11
10
10
01
11
10
00
00
00
00
11
10
00
00
11
00
00
10
00
11
01
10
00
00
10
01
11
10
11
10
11
11
01
10
10
10
00
00
10
11
00
01
10
01
11
10
01
11
10
00
01
10
10
11
00
01
10
00
11
10
00
11
00
00
10
11
10
01
00
01
00
10
00
01
00
10
10
00
10
10
10
10
11
00
11
10
00
10
11
11
00
11
10
00
11
11
00
01
10
11
00
10
10
10
00
10
10
00
10
01
00
10
00
11
11
01
01
10
10
00
01
10
00
01
10
00
00
10
00
10
11
01
00
00
00
00
10
00
11
00
00
00
10
10
10
00
00
11
00
10
10
00
10
10
01
01
10
10
10
01
00
10
00
11
10
11
01
10
10
00
00
10
10
01
10
10
00
10
10
00
00
00
00
10
10
00
00
10
10
01
00
11
01
00
11
01
10
10
00
01
10
11
00
00
10
10
11
10
00
01
00
11
01
00
10
10
01
01
11
00
10
10
00
00
10
01
01
10
00
00
00
00
11
11
10
01
00
10
00
10
00
00
11
10
00
10
00
00
00
10
11
00
00
10
00
01
01
00
00
10
00
00
11
10
01
00
00
00
10
00
10
00
00
11
00
11
11
10
00
10
11
00
00
11
11
00
00
00
00
11
10
00
00
11
10
10
10
01
01
11
11
00
00
11
10
00
00
11
10
00
10
10
10
00
11
01
11
11
10
00
11
00
00
11
10
00
11
11
10
01
00
00
00
10
00
00
10
10
00
11
10
11
00
00
00
10
01
00
11
11
00
00
10
01
00
00
10
10
11
11
00
10
00
00
10
11
00
00
00
00
00
10
10
10
11
01
01
01
10
01
00
01
01
00
10
11
00
00
11
11
11
00
11
10
00
00
10
11
00
00
10
11
01
00
00
11
10
01
10
00
01
11
10
00
10
10
10
01
10
00
11
01
10
00
00
10
00
01
10
00
11
00
10
00
00
10
10
10
00
00
01
00
11
00
00
00
10
00
00
11
10
00
00
00
11
10
00
10
10
00
10
00
10
10
10
01
10
11
00
10
00
10
00
01
00
10
10
10
10
01
01
00
00
00
00
10
10
11
00
01
10
11
10
10
01
10
00
01
00
00
00
01
10
11
01
01
00
10
00
11
10
00
10
01
00
00
00
11
00
01
10
11
01
01
10
00
00
10
01
01
00
10
01
01
11
00
00
00
00
11
10
01
10
10
10
00
00
10
10
00
00
10
10
10
11
01
01
10
10
11
01
01
10
00
01
10
11
00
10
00
11
10
10
00
00
10
10
00
10
00
01
11
11
10
01
01
01
10
10
10
01
01
10
10
10
01
00
01
00
01
00
01
10
10
01
10
10
11
10
00
01
01
00
10
00
10
11
01
10
11
10
01
00
11
00
01
00
10
01
00
10
10
01
00
00
11
00
00
10
00
10
01
01
01
10
10
00
00
11
10
00
11
00
01
11
00
10
00
00
00
10
11
01
00
10
10
11
00
01
11
00
01
00
10
10
10
00
10
11
01
00
10
10
00
00
10
00
10
11
10
10
00
00
01
01
01
10
10
11
10
01
00
10
11
00
00
00
10
10
00
11
10
00
00
10
11
11
00
00
00
11
11
00
10
00
01
00
00
10
00
10
10
00
10
10
11
00
00
00
00
00
10
11
00
10
10
11
00
10
10
01
00
10
01
10
00
10
01
00
00
00
10
00
10
10
00
00
01
11
01
10
11
00
10
10
00
11
00
01
10
10
00
00
01
01
10
10
00
00
11
11
11
01
01
10
10
11
11
00
01
10
00
10
10
10
01
10
11
11
10
00
10
10
00
11
10
00
10
10
01
10
11
00
11
01
01
01
00
10
00
11
10
10
11
00
01
11
00
11
10
10
00
01
11
00
11
00
00
00
01
11
01
00
00
10
00
00
01
10
10
11
10
10
11
00
10
00
00
10
10
11
11
01
10
00
01
00
11
10
00
00
11
00
00
10
10
10
00
01
10
11
10
00
01
10
10
00
00
10
00
01
11
10
01
00
11
10
10
00
00
00
10
00
00
00
10
10
10
11
10
01
01
11
00
00
10
00
11
00
00
10
10
10
10
10
11
00
00
01
00
01
10
00
00
00
00
10
00
00
11
10
10
01
11
01
00
00
01
00
01
10
10
01
00
01
00
01
11
00
00
10
10
11
10
00
01
00
01
01
00
10
11
00
10
10
00
00
10
00
10
11
11
10
00
01
10
10
01
10
00
00
01
10
00
00
11
11
01
11
01
00
10
00
00
00
10
10
11
00
00
11
10
01
11
10
00
10
01
00
10
10
10
00
00
11
11
11
11
01
00
00
10
11
10
01
01
10
11
00
00
01
10
01
10
11
00
11
01
11
00
01
00
11
01
01
00
11
10
01
00
10
10
10
00
00
00
00
10
10
00
10
11
11
10
11
00
11
00
01
10
00
10
11
00
00
10
10
10
00
00
10
01
10
01
00
10
11
10
11
00
00
11
00
00
10
00
01
01
00
11
10
10
01
00
00
00
10
10
11
01
00
11
10
10
00
01
10
11
00
01
01
01
01
10
00
00
10
10
00
01
10
10
00
10
10
00
00
10
10
10
11
10
01
10
11
01
10
01
00
00
10
10
01
00
00
10
10
10
01
00
01
00
11
00
00
10
10
10
00
00
10
00
00
10
00
00
10
10
00
01
11
10
10
01
00
10
11
00
00
00
00
10
11
10
01
00
10
10
01
00
10
00
00
11
00
11
10
01
00
11
11
11
10
00
10
10
10
00
10
11
10
00
10
01
00
01
01
01
10
00
00
11
10
00
10
00
00
00
00
10
10
10
10
11
10
10
00
00
01
00
00
00
00
10
00
10
10
10
11
00
01
01
00
11
00
00
00
00
10
10
00
00
10
10
10
00
01
10
00
01
00
11
00
11
01
10
10
01
10
10
00
00
00
10
11
01
01
11
00
01
10
10
11
01
00
10
01
10
11
00
00
10
10
00
10
00
01
10
11
01
01
10
11
00
01
10
10
00
00
10
10
00
01
00
00
10
10
10
11
00
10
10
01
10
00
00
10
10
11
00
01
10
00
00
10
00
11
10
00
10
10
10
00
01
11
10
00
10
01
10
10
11
00
01
00
10
10
00
10
11
10
01
10
10
01
00
00
11
10
00
11
01
01
11
00
01
10
10
10
01
00
10
10
11
10
00
00
01
11
01
01
00
00
11
10
10
01
01
11
01
00
11
11
11
00
01
10
10
01
00
01
10
00
10
00
00
10
00
01
10
00
00
00
11
00
00
01
10
10
00
00
01
10
01
11
10
01
00
10
10
01
00
01
10
10
10
01
10
10
00
00
00
10
11
10
10
10
10
10
11
01
10
11
01
10
01
00
01
10
01
00
00
00
10
11
10
00
01
11
00
00
00
10
00
00
10
01
01
11
10
00
11
00
01
00
11
11
11
01
10
10
01
00
11
10
01
00
00
10
10
01
00
01
10
00
10
00
00
11
00
00
00
11
10
00
10
11
11
00
10
10
10
01
00
00
00
10
00
00
10
00
01
00
10
01
11
00
10
10
00
01
01
10
00
00
11
01
00
01
10
10
01
10
10
10
00
00
01
00
00
01
00
11
10
00
10
01
00
10
10
00
00
01
00
10
10
00
10
00
00
00
00
01
01
11
11
10
01
01
10
01
10
00
01
00
10
00
00
11
10
11
00
11
00
10
11
00
00
10
10
10
01
10
11
00
11
01
00
00
10
11
11
10
00
10
00
00
00
00
10
11
00
00
00
10
11
00
01
11
10
00
00
10
00
00
10
10
10
00
00
10
10
10
01
00
01
10
10
00
01
01
10
00
01
00
10
10
10
10
00
10
01
10
00
00
10
10
10
00
00
00
10
01
10
11
00
11
00
11
00
10
11
11
10
01
10
10
01
10
01
00
00
00
10
10
00
11
11
10
00
11
01
10
00
00
11
10
10
10
10
00
00
10
00
00
11
00
01
10
01
00
11
10
11
00
10
10
01
10
11
11
10
11
10
01
00
01
00
10
00
00
00
10
00
00
10
00
10
10
10
00
10
01
10
10
01
00
00
01
10
10
10
00
10
00
00
00
00
10
10
11
10
11
00
10
10
01
00
10
10
00
01
11
01
10
11
11
10
00
11
01
10
01
00
00
10
10
10
00
00
10
11
11
10
00
00
11
00
00
10
00
00
10
11
00
01
10
00
00
10
10
10
11
01
10
01
00
11
01
10
11
10
01
00
11
00
00
10
10
10
00
00
10
10
00
11
10
10
11
11
00
10
00
10
11
00
01
00
10
00
00
10
10
10
00
11
10
00
01
00
11
10
10
00
00
00
00
11
10
01
00
00
10
00
01
11
11
11
00
10
00
00
10
10
01
11
10
10
11
00
01
10
00
11
10
01
00
11
10
00
11
00
00
11
11
01
10
00
00
10
10
01
00
10
01
01
11
00
00
10
00
00
11
01
10
11
10
00
00
10
00
10
10
00
01
00
10
10
10
11
10
00
11
11
00
01
00
10
00
01
10
10
00
00
01
01
10
01
00
10
10
00
01
00
10
01
10
00
11
11
11
11
00
00
11
00
10
10
00
00
00
00
00
10
00
00
00
10
10
10
10
00
00
10
01
01
10
10
10
00
11
10
00
10
10
00
01
00
11
00
01
10
10
10
01
11
10
01
00
01
00
00
10
10
00
00
00
10
10
10
00
00
00
01
11
10
01
00
01
10
01
11
10
00
00
10
10
10
00
10
10
00
10
11
11
00
00
10
10
11
01
00
11
10
10
00
11
01
10
00
00
01
00
11
00
11
11
11
01
00
00
10
01
01
00
11
10
00
10
10
00
10
00
10
10
00
01
10
11
00
00
00
10
10
11
10
00
10
10
00
00
00
00
10
01
10
10
00
10
00
11
01
10
10
10
00
00
01
00
11
10
11
00
00
01
01
10
11
10
00
00
10
11
01
00
10
00
10
00
10
11
10
00
10
11
11
00
10
00
10
10
11
11
00
00
10
00
11
11
00
00
10
11
10
00
00
00
00
10
11
11
00
00
10
01
00
10
10
11
11
00
00
10
00
00
00
00
10
00
00
10
01
10
00
11
00
10
00
11
10
00
00
10
00
10
11
00
11
01
10
10
01
11
11
00
01
01
10
00
00
10
00
10
01
00
10
01
10
00
01
10
10
10
11
00
11
01
00
11
10
00
01
10
10
10
00
10
00
00
00
01
10
01
00
10
00
11
10
11
11
00
10
11
00
00
11
01
00
10
10
11
10
00
01
11
10
00
11
11
11
11
01
00
10
11
11
11
00
01
10
00
01
01
10
10
00
00
00
10
00
01
01
11
11
01
11
01
00
11
00
10
10
00
00
11
00
00
11
10
00
01
00
10
11
00
00
00
11
11
01
11
01
11
10
10
10
00
01
11
10
10
01
00
10
00
01
01
11
11
10
01
00
10
10
00
00
01
11
00
01
11
11
01
11
10
00
10
10
11
00
01
11
10
01
10
01
10
00
11
01
11
10
01
10
00
00
01
10
11
10
00
10
00
00
11
11
00
10
00
00
10
00
11
10
10
01
01
01
00
00
11
11
00
10
11
00
10
10
10
11
10
00
01
10
11
10
00
01
10
10
01
01
10
10
01
00
11
10
00
10
00
11
10
11
01
01
00
11
11
10
01
00
01
01
11
10
11
01
00
01
11
10
10
11
00
00
01
10
10
10
00
00
00
00
10
10
01
00
01
10
00
00
10
00
01
10
10
00
01
10
00
01
00
00
10
10
00
10
10
11
10
10
10
01
00
10
11
00
00
00
01
00
11
00
10
10
00
00
00
11
00
00
11
10
10
01
10
00
10
10
00
10
01
11
01
10
00
00
10
10
00
01
11
10
00
01
00
10
11
00
10
10
00
10
00
10
01
10
10
00
10
11
10
01
00
01
00
01
10
00
00
10
11
01
00
11
10
01
00
00
01
10
10
00
00
11
10
01
01
10
00
01
11
00
00
10
11
01
10
01
00
10
00
00
10
00
00
10
01
10
01
01
10
01
00
00
10
10
10
00
01
11
00
11
00
11
11
01
10
10
11
00
11
00
10
10
00
11
11
10
01
00
10
10
00
00
10
10
00
10
10
10
01
10
10
01
00
11
10
11
00
00
00
10
10
00
10
10
11
01
10
10
10
11
11
01
01
00
00
10
00
01
11
10
11
10
00
11
00
01
00
00
10
10
10
10
00
00
10
10
11
10
10
00
11
00
10
11
01
00
00
10
11
00
11
11
10
10
00
10
10
00
00
11
10
10
01
00
00
11
10
11
10
00
00
10
10
00
10
11
01
10
01
00
00
10
01
01
10
00
00
00
00
10
10
01
00
11
10
11
11
01
00
00
00
10
00
01
10
00
10
01
01
01
00
10
11
01
11
10
01
01
10
10
01
00
10
00
00
11
01
01
10
00
01
10
00
10
01
00
00
10
00
10
11
00
10
10
10
11
01
01
00
10
01
00
11
10
11
00
11
10
00
00
01
11
00
11
10
00
00
10
10
00
00
11
00
00
10
10
10
10
00
11
10
00
10
00
10
10
01
11
00
00
00
10
00
10
10
00
00
00
00
11
01
11
01
00
00
10
10
00
10
10
00
00
10
10
10
00
00
11
10
11
01
01
10
01
10
01
01
10
01
00
10
00
01
10
10
01
00
00
01
10
10
00
10
00
00
11
00
00
00
10
00
01
11
11
11
11
10
01
10
00
11
11
01
01
10
10
01
00
10
11
00
00
00
00
10
10
10
00
10
10
00
00
10
11
11
11
00
00
11
10
00
00
10
10
10
00
11
11
00
11
10
10
01
11
01
00
01
10
11
11
00
00
10
01
01
11
11
11
10
00
01
00
10
10
00
00
00
00
10
11
00
00
10
00
01
10
10
01
11
01
00
10
01
11
01
10
10
00
10
00
00
11
11
00
10
11
00
10
00
01
10
10
10
00
00
10
01
00
01
10
00
11
10
10
01
10
10
10
00
01
11
01
10
10
00
10
11
01
00
10
10
00
00
01
00
11
00
01
00
10
10
11
01
10
10
00
00
11
01
10
10
00
00
00
10
00
10
10
00
10
10
00
00
00
10
00
00
10
11
01
00
11
10
11
00
00
10
01
01
10
10
11
00
00
10
00
10
10
01
10
01
00
01
10
10
10
01
10
11
11
00
11
10
10
01
11
11
00
00
00
00
01
10
01
00
01
10
11
10
10
00
01
00
11
10
11
10
00
00
10
10
00
10
00
11
00
10
01
00
10
10
00
10
10
00
10
01
01
00
00
10
00
10
10
00
01
01
10
00
00
11
10
11
00
00
10
10
11
01
10
11
00
00
01
01
11
00
10
10
11
00
00
10
11
10
00
01
10
00
10
00
00
11
10
01
11
00
00
11
11
10
10
01
10
10
00
00
10
10
00
10
00
01
10
00
00
00
11
10
10
10
00
10
10
00
00
00
01
11
10
10
01
00
00
10
10
11
00
01
01
10
00
00
11
00
11
10
11
10
11
10
00
01
10
11
10
01
01
10
11
01
00
10
10
00
00
00
10
10
11
00
00
11
10
01
01
00
10
00
10
01
00
11
00
11
11
00
10
10
00
00
11
10
01
00
11
10
00
10
11
00
10
00
10
00
00
01
10
11
00
00
00
10
10
10
11
00
00
00
10
01
00
11
10
10
10
00
01
00
10
10
10
11
10
10
00
00
11
11
10
00
11
11
00
00
10
10
00
10
01
00
10
00
00
10
00
00
11
11
00
11
11
00
11
11
00
00
11
10
01
00
10
10
10
10
00
00
11
10
10
00
00
11
01
00
00
00
01
00
11
10
10
10
00
00
11
00
00
00
10
00
00
01
10
10
10
01
00
10
10
00
11
11
00
10
00
00
10
11
00
00
00
11
00
10
10
00
11
00
11
11
01
10
11
10
00
00
01
00
11
01
00
00
11
00
00
10
10
01
01
11
11
00
10
01
00
10
10
10
00
10
10
00
10
00
10
10
11
01
10
11
01
10
11
01
01
10
10
01
11
00
01
10
10
00
10
10
00
10
11
10
00
00
01
01
10
10
11
00
00
00
00
10
10
01
00
10
01
00
00
00
00
00
00
10
11
11
10
11
10
11
10
01
01
10
01
10
00
00
00
01
01
10
11
00
10
00
01
11
00
10
10
01
00
10
10
00
11
00
00
10
00
10
11
11
10
00
01
00
00
00
00
10
10
00
10
10
00
10
01
00
01
01
11
00
00
00
00
00
10
10
01
00
10
10
01
10
10
10
00
10
11
10
00
00
10
10
10
10
00
10
00
00
10
00
11
11
01
11
00
01
00
01
10
11
00
00
11
10
10
11
00
00
01
10
10
11
00
01
10
10
01
10
10
11
10
00
00
00
00
11
01
10
01
10
00
00
00
10
10
01
00
10
00
00
10
10
10
00
01
01
01
11
11
01
00
00
00
10
11
00
00
11
11
10
01
11
10
10
01
00
00
01
10
11
11
10
00
11
00
00
00
10
11
00
00
00
11
01
00
00
01
10
10
10
00
10
00
10
10
10
11
00
00
00
00
10
11
10
01
10
01
00
11
10
00
11
10
00
00
00
10
10
01
00
01
11
10
00
01
00
10
10
01
01
10
10
10
00
11
10
11
00
00
10
01
11
10
01
10
10
00
00
10
10
00
01
11
10
00
00
11
11
00
11
01
01
10
10
11
01
10
11
00
01
01
10
10
11
10
00
01
11
00
00
00
10
11
01
00
10
10
01
10
10
01
10
10
00
10
00
10
01
00
10
11
00
00
01
00
00
01
01
10
10
01
01
00
10
00
11
10
11
11
00
00
01
11
01
01
00
00
10
10
00
11
11
10
10
00
11
00
10
01
01
10
00
00
01
01
10
11
10
00
00
10
10
00
10
10
01
01
00
00
10
00
01
01
00
11
10
00
11
00
11
01
10
11
00
01
10
11
00
10
11
00
11
00
10
11
11
00
00
10
10
10
11
10
10
11
01
11
00
00
10
01
10
01
10
10
00
11
00
00
00
10
00
00
10
01
00
01
00
10
11
01
00
10
10
00
11
10
10
10
00
10
10
00
01
10
00
01
00
10
00
10
10
10
10
01
10
10
01
00
00
00
10
10
00
10
10
01
01
00
10
10
01
10
01
01
11
00
00
10
00
10
00
10
10
10
00
01
11
11
00
10
10
00
10
01
10
01
00
10
00
11
11
10
11
00
01
00
01
10
10
01
00
00
00
00
10
10
00
01
11
10
00
01
10
00
00
01
00
10
10
10
10
01
00
10
00
00
10
11
00
10
01
11
10
11
11
01
10
00
00
10
11
10
10
00
01
10
00
10
10
00
00
11
00
00
01
10
00
10
00
11
01
00
10
11
00
10
00
00
01
10
10
11
01
11
11
11
11
11
00
01
00
01
11
10
10
11
00
01
00
10
00
00
00
01
10
10
10
10
11
10
10
10
01
00
10
00
10
10
11
10
00
00
11
00
10
00
10
11
10
10
01
01
01
11
10
01
00
11
00
01
10
10
01
10
00
00
10
10
01
00
11
10
00
11
10
10
11
00
00
01
11
10
10
00
11
00
00
10
10
00
10
00
00
00
10
01
10
10
10
11
00
00
10
00
00
11
10
11
00
00
10
10
01
00
11
00
11
10
11
11
10
00
10
01
00
00
10
11
00
00
11
11
01
00
11
11
01
00
10
01
00
10
00
00
10
10
00
01
11
00
01
10
00
10
10
01
11
01
10
10
00
11
01
00
10
00
10
11
11
11
00
01
10
01
10
10
00
00
01
00
10
10
10
00
00
11
10
11
00
01
10
01
10
10
10
00
00
00
10
10
00
10
00
11
10
11
10
00
01
01
10
00
01
00
01
10
11
01
11
01
01
10
11
10
00
01
10
10
00
00
00
10
10
11
00
10
10
00
10
00
00
00
00
00
10
11
00
11
00
01
00
01
00
10
00
00
10
10
00
10
01
10
10
00
10
00
10
10
10
00
01
10
01
10
00
00
00
10
10
10
01
00
11
00
10
11
11
00
10
11
10
00
01
10
01
00
00
10
10
11
10
01
01
10
01
00
00
00
01
10
10
01
01
10
01
10
10
10
00
11
01
10
10
01
10
00
11
01
00
01
11
11
11
10
11
11
00
00
10
00
01
00
10
10
11
01
10
10
01
00
10
10
01
00
11
10
01
01
01
01
10
00
01
00
10
00
10
10
00
01
00
10
00
10
00
00
11
11
10
11
00
00
00
11
00
00
10
10
11
00
10
00
00
10
00
00
11
11
00
11
00
00
11
11
00
01
11
10
10
00
10
00
00
10
00
00
00
11
01
01
01
11
10
01
01
00
00
10
10
01
01
11
11
00
01
00
01
11
10
01
00
10
10
11
00
11
10
01
00
00
00
11
00
00
11
10
10
10
10
00
10
00
01
10
00
10
11
10
11
01
10
10
01
00
00
00
10
00
11
10
10
10
01
01
01
11
00
00
11
10
00
11
01
00
11
11
10
01
10
10
11
00
00
11
10
01
10
00
10
10
10
00
11
10
00
01
11
00
00
10
01
10
11
00
10
10
10
10
00
10
11
10
01
10
10
00
11
00
11
00
00
10
01
00
10
01
01
11
11
11
01
00
10
00
11
11
00
11
10
00
10
01
00
01
11
11
10
00
11
00
11
10
01
10
00
00
00
10
11
11
00
10
01
00
11
00
00
00
00
00
10
10
00
11
10
00
10
00
00
10
00
01
10
11
01
10
10
10
10
10
00
00
00
10
00
10
10
11
10
10
11
10
00
11
01
01
10
10
00
01
10
11
00
00
10
00
00
10
10
11
10
10
10
00
10
10
00
00
00
01
10
01
10
11
01
10
01
10
11
00
00
10
10
10
10
10
01
11
11
00
11
10
10
00
00
11
11
11
00
01
01
00
00
00
10
10
00
00
00
10
00
01
10
10
01
01
10
10
10
00
01
01
10
00
11
10
00
00
11
10
10
01
00
00
00
00
10
10
00
00
00
11
00
01
00
10
01
11
00
01
01
11
10
00
10
11
00
01
10
01
11
11
10
00
00
10
00
01
10
00
10
10
01
10
10
11
00
00
01
01
00
10
00
00
00
10
10
11
10
01
11
10
10
10
00
00
00
10
01
01
10
00
00
00
10
00
00
11
11
11
10
01
10
10
01
00
00
00
00
11
00
11
10
00
00
10
01
11
00
00
00
00
11
11
11
10
00
00
00
10
01
01
11
11
01
10
11
00
00
10
10
00
00
01
10
00
01
01
10
01
01
10
11
10
10
00
01
10
00
00
00
11
10
00
11
01
10
01
00
10
10
10
00
00
00
10
01
00
00
10
10
10
00
00
01
10
00
10
00
01
11
10
11
10
10
00
01
10
11
00
00
10
00
00
11
00
00
10
10
10
00
10
10
10
00
10
00
00
10
01
00
10
00
00
10
10
00
00
10
11
10
00
01
01
00
01
10
00
10
00
11
10
01
10
10
00
01
10
00
01
10
10
10
10
00
10
10
11
00
00
00
11
00
00
01
01
00
00
01
10
01
10
11
00
01
00
10
00
01
10
10
01
00
11
10
10
01
01
11
10
00
00
11
00
01
00
11
00
10
10
00
00
10
10
00
10
11
00
00
10
00
10
10
01
10
01
10
10
01
10
10
10
00
00
00
01
11
00
11
11
11
11
11
10
11
10
00
01
11
00
11
10
00
11
01
01
11
10
10
01
10
00
00
10
10
01
10
00
00
11
10
00
11
11
10
10
00
00
11
11
10
01
10
00
10
01
11
01
00
10
00
00
10
01
00
00
10
00
00
11
11
10
11
11
10
01
10
00
00
10
11
00
10
10
00
01
11
00
01
11
10
11
10
11
00
01
11
00
10
01
11
10
10
10
01
10
11
00
10
10
10
11
00
00
11
00
10
10
00
10
01
00
11
10
10
01
11
11
00
10
00
00
10
11
10
00
01
00
10
10
00
00
00
10
00
10
01
10
11
00
10
10
11
01
01
01
10
00
00
01
10
10
00
11
00
01
00
00
10
01
10
10
00
01
10
11
10
00
01
00
10
10
10
01
10
10
01
00
01
10
00
11
00
10
10
00
11
11
01
01
01
10
10
10
01
00
10
10
00
11
00
10
00
10
10
10
00
00
10
01
10
00
11
00
11
00
00
11
11
01
00
00
10
11
00
11
00
00
10
10
10
01
11
10
00
00
10
10
10
00
00
00
01
00
11
10
00
00
00
10
00
10
10
01
00
01
00
10
00
01
10
01
10
00
00
11
11
00
00
00
11
00
10
11
00
00
00
01
10
10
10
01
00
01
10
10
10
01
11
00
11
11
00
01
11
10
01
10
10
01
00
10
01
10
10
01
11
00
10
11
01
10
11
11
10
10
11
00
00
01
00
11
10
00
10
10
00
00
11
10
10
01
00
11
00
00
10
10
10
10
10
00
11
00
11
10
00
01
10
00
00
00
11
10
01
01
01
10
00
00
10
11
00
10
11
00
00
10
11
00
01
10
10
01
00
11
00
01
00
00
00
00
00
11
00
10
10
00
00
10
00
01
01
10
00
01
10
10
10
01
00
00
01
11
00
01
00
11
11
00
10
11
00
01
11
11
00
11
10
00
10
00
10
10
10
00
11
10
01
10
11
01
01
01
10
10
00
00
11
01
00
10
10
01
01
00
10
00
01
10
00
10
11
00
01
11
10
10
00
00
00
10
10
10
00
10
01
01
00
10
00
00
10
10
10
10
00
01
10
11
00
10
00
00
10
10
11
01
10
10
00
01
10
10
00
11
11
10
10
01
01
10
00
00
10
10
00
10
10
00
10
00
10
10
00
11
00
00
01
11
01
10
10
00
00
10
01
00
10
10
11
00
10
00
10
10
10
10
00
11
00
01
00
01
00
10
10
01
00
10
11
01
00
01
00
10
10
10
00
00
10
01
00
11
10
00
00
00
01
10
11
00
00
10
10
00
00
01
10
10
10
11
11
01
01
00
11
10
10
00
11
10
10
11
01
10
00
00
11
10
11
10
00
01
00
10
00
00
00
01
11
11
01
11
10
11
10
00
00
01
10
10
10
00
11
00
01
10
00
01
01
01
01
01
10
10
00
01
00
10
11
00
00
10
10
10
10
00
00
11
00
01
00
01
00
10
00
10
10
11
10
11
10
01
10
00
11
01
11
10
00
00
00
00
01
11
01
01
10
10
10
00
01
01
10
00
00
11
10
10
11
10
00
01
10
10
11
10
00
10
10
01
01
10
10
01
00
10
00
01
11
11
01
10
10
00
00
11
11
10
01
10
10
10
00
11
11
10
00
00
00
00
10
10
00
01
00
10
10
01
10
00
10
10
11
00
00
10
01
10
10
11
10
01
00
00
00
00
10
00
10
00
00
11
10
01
00
01
00
11
00
10
11
00
11
00
10
11
01
00
11
00
00
01
01
10
10
10
01
00
00
10
11
00
11
11
00
10
00
01
11
00
01
10
10
11
01
10
11
00
00
10
00
10
10
00
00
10
00
00
10
11
00
00
10
11
10
10
11
10
00
00
10
11
01
00
10
10
10
00
10
01
10
10
00
10
00
00
10
10
00
10
11
01
00
10
11
11
00
01
01
00
00
10
00
11
11
01
10
00
00
01
11
10
00
10
01
11
10
10
11
00
00
10
00
00
00
01
10
11
11
10
10
00
11
00
00
10
10
01
00
00
11
10
01
10
11
01
00
11
11
01
10
11
00
01
00
10
00
01
00
10
00
00
01
10
10
10
11
00
10
10
00
10
10
11
00
00
11
10
00
00
10
10
00
00
11
11
01
10
01
10
10
10
01
00
10
00
10
10
10
01
01
11
01
10
00
00
10
01
10
11
01
11
11
10
10
01
00
10
10
00
00
10
00
10
00
01
10
11
10
00
01
00
11
11
00
01
00
00
11
10
01
10
10
00
10
00
00
00
10
00
00
11
10
01
11
00
00
10
11
10
00
00
10
10
01
00
00
11
10
11
11
00
11
10
00
00
11
11
00
00
11
00
10
10
00
10
10
00
11
10
11
00
00
11
10
00
00
00
10
00
11
00
01
11
10
10
01
00
11
10
01
00
10
10
00
00
01
10
10
11
10
10
10
10
11
00
11
00
01
11
00
01
00
01
10
00
10
10
10
01
00
11
10
10
00
00
00
11
10
10
10
11
10
01
10
11
00
11
00
00
10
00
10
10
11
01
11
00
10
01
01
11
11
11
01
00
11
01
10
11
00
00
01
10
01
00
11
10
00
00
01
00
10
10
11
01
00
10
00
11
10
10
01
10
10
00
00
10
01
00
11
10
00
10
10
11
00
10
00
10
00
00
00
00
10
00
11
10
00
00
00
01
10
10
01
11
10
11
01
00
00
00
11
10
00
00
00
11
10
11
11
00
01
10
10
00
01
11
11
01
00
10
10
00
01
00
10
10
10
00
10
11
00
10
00
10
10
00
00
00
00
01
10
11
00
11
10
00
11
10
00
00
00
11
10
10
10
00
00
00
01
00
10
10
10
00
01
00
11
01
00
01
10
00
00
11
10
00
00
10
00
10
00
01
00
10
11
10
01
00
10
10
01
00
10
10
01
00
00
01
01
00
10
00
10
10
00
10
00
10
00
00
00
10
01
10
11
01
01
10
01
10
11
00
01
10
10
00
00
00
10
10
01
00
10
00
11
11
01
00
10
10
00
10
00
01
10
00
00
10
10
11
00
11
10
01
10
10
00
01
10
10
00
01
00
00
00
10
11
00
00
10
11
10
10
00
00
00
11
01
01
00
10
01
10
11
00
00
10
00
11
00
00
11
00
01
01
10
10
10
10
01
00
10
00
01
00
00
10
00
11
01
00
10
10
01
11
00
00
11
10
01
10
11
10
00
00
01
00
11
10
00
10
00
10
10
10
00
10
10
11
11
01
01
11
10
01
01
11
00
01
11
10
00
00
10
10
11
00
00
10
10
10
11
10
00
00
00
11
11
01
00
00
11
11
11
01
10
10
11
00
00
11
00
00
11
00
10
00
10
10
00
10
10
00
10
10
00
00
11
11
11
01
10
00
00
10
11
10
00
01
00
11
00
00
01
10
10
01
10
10
10
10
00
11
01
11
11
01
10
00
10
10
00
00
10
11
00
10
00
10
00
11
11
01
00
10
10
10
01
10
10
00
01
00
10
10
01
00
10
10
00
10
10
10
01
10
10
11
00
10
10
10
10
01
00
01
10
11
01
10
11
10
01
00
10
10
11
00
00
10
10
10
00
01
10
10
01
01
10
00
00
00
10
11
00
11
11
01
11
10
01
10
11
00
10
00
00
10
10
10
00
11
11
11
01
00
01
10
11
00
01
10
11
01
10
01
10
00
01
00
01
10
00
01
10
10
00
11
01
00
10
00
11
10
00
00
10
10
11
01
00
00
00
10
00
01
10
10
01
00
11
10
10
11
10
10
00
11
10
00
00
10
11
00
11
01
01
01
10
11
00
10
11
01
00
10
10
00
10
10
00
00
00
00
00
01
10
10
10
00
10
01
10
10
01
10
10
11
10
00
10
10
10
00
01
10
10
10
11
00
11
10
11
00
10
00
10
01
01
10
10
00
10
10
00
11
11
11
01
00
11
10
10
00
00
10
10
00
00
10
10
10
01
00
00
11
00
10
10
01
00
11
00
00
01
00
10
01
10
10
10
00
00
10
10
11
00
00
10
10
10
10
11
00
01
10
10
11
00
01
10
11
00
10
01
10
10
10
11
00
00
10
00
11
01
11
00
10
10
01
10
10
01
10
01
00
00
11
10
11
01
00
11
00
11
10
10
00
00
00
01
10
10
00
01
01
01
01
10
10
11
00
00
11
10
00
00
00
10
01
01
11
10
10
11
11
00
11
00
00
10
11
00
11
11
10
00
10
01
00
10
01
00
10
10
00
10
00
00
10
00
00
11
10
10
11
10
10
10
10
01
00
01
00
00
00
00
10
01
10
00
10
10
00
01
01
00
10
11
00
10
10
01
11
11
10
01
00
10
10
01
10
01
10
11
00
10
10
10
11
00
01
10
00
00
11
01
10
10
00
00
00
11
00
00
11
10
01
00
00
10
10
11
00
00
10
11
10
10
10
01
00
10
01
00
11
10
01
00
10
00
11
00
00
11
10
10
01
01
10
10
11
10
11
01
00
11
11
10
10
00
01
11
10
01
00
01
00
11
10
00
00
10
00
01
10
11
11
11
10
00
00
11
10
01
01
11
11
10
00
11
01
00
01
10
11
01
00
00
10
00
00
00
11
11
10
10
10
10
00
10
10
01
00
00
10
01
10
00
11
10
11
11
01
01
10
11
00
10
10
00
01
11
00
01
10
10
11
01
11
10
00
00
11
01
00
00
00
10
00
00
10
10
01
00
10
10
10
00
00
10
00
11
00
10
10
10
11
11
00
01
10
10
11
11
00
00
00
10
00
11
01
11
01
01
10
01
10
00
01
11
00
11
10
00
11
00
01
10
10
00
01
10
10
10
10
10
00
00
11
10
01
11
10
00
00
10
01
11
10
10
10
00
01
10
10
00
01
00
11
10
01
10
01
01
10
10
00
00
10
10
01
00
10
00
00
10
10
11
00
01
10
00
10
10
10
00
00
10
01
01
11
00
10
10
10
01
00
00
00
10
00
10
10
01
11
00
10
00
00
10
00
10
11
10
11
01
10
00
00
00
10
00
00
01
00
01
00
11
00
00
10
01
11
10
01
00
11
11
00
11
10
00
10
10
00
00
10
11
10
10
10
10
01
10
00
10
00
00
00
10
01
10
11
10
10
11
00
11
00
10
10
10
00
10
01
00
01
01
11
00
10
10
10
10
11
00
10
10
11
11
00
10
00
00
11
11
01
11
11
00
01
00
10
10
01
00
10
10
00
10
00
10
11
10
00
10
10
10
00
00
10
10
00
10
00
01
00
10
00
01
10
01
00
01
10
01
00
10
10
01
00
10
10
00
00
11
11
01
00
00
10
10
01
00
00
01
10
00
10
11
01
10
10
00
00
00
11
11
10
00
00
11
10
11
01
00
01
10
10
00
10
11
00
10
10
10
11
10
10
01
00
01
10
10
00
00
11
00
10
10
10
00
00
01
10
11
00
10
01
10
11
10
00
00
10
10
00
11
01
01
10
00
11
01
10
11
00
10
10
11
10
10
10
00
00
10
10
00
10
11
11
00
01
10
10
10
00
00
11
01
01
10
10
00
01
11
11
00
10
10
01
00
10
00
01
10
01
10
11
10
01
01
01
10
11
00
10
11
01
10
10
10
00
00
10
11
00
00
11
10
00
11
01
00
10
10
10
01
00
10
00
11
10
00
11
01
11
01
10
10
00
00
11
00
11
00
10
11
01
11
00
11
01
10
10
01
10
11
00
01
10
11
01
11
10
01
00
10
10
00
00
10
00
00
00
11
10
01
10
11
10
00
00
10
10
01
01
10
10
00
00
00
11
10
01
11
10
01
00
10
01
10
11
00
10
10
00
10
00
11
11
10
11
00
10
00
00
10
00
00
10
10
10
00
10
01
10
01
00
10
00
10
10
10
01
00
11
01
00
00
00
00
10
10
00
00
10
00
10
11
00
00
10
10
00
10
01
11
11
00
00
00
11
00
10
11
00
11
10
10
10
10
00
00
11
01
00
01
00
01
00
00
10
10
11
11
10
01
01
00
00
00
00
10
00
00
10
10
10
01
01
11
01
10
10
01
00
00
01
10
10
00
00
11
10
00
00
00
10
10
00
11
00
00
11
11
00
10
10
00
00
10
01
01
11
00
11
01
10
11
11
00
00
11
11
10
10
00
01
11
10
01
00
00
01
10
10
10
10
01
00
00
10
10
10
00
01
00
11
11
01
00
11
10
10
11
00
00
10
01
00
00
10
10
01
10
11
00
10
10
01
00
10
00
01
11
00
01
00
10
00
11
10
11
10
00
10
10
10
10
10
01
00
10
01
00
10
10
00
10
00
01
11
11
00
00
10
10
00
00
10
11
00
11
01
10
11
10
00
00
10
00
00
11
10
00
10
00
00
10
10
00
10
10
00
10
01
00
01
10
01
10
00
10
10
01
00
01
10
00
01
00
11
00
11
01
10
11
10
00
00
00
10
11
10
00
10
01
10
11
11
00
01
10
01
11
11
11
00
00
00
11
11
01
11
10
10
00
00
11
01
01
10
00
10
00
10
10
00
01
10
00
10
10
10
00
01
10
00
00
00
00
10
11
10
01
01
00
01
11
10
00
00
10
00
00
10
00
00
00
10
01
00
11
10
11
00
01
01
10
10
00
01
10
11
00
11
10
10
01
10
10
10
00
01
10
11
11
10
00
01
01
00
10
10
10
00
00
10
00
00
01
10
00
01
01
11
11
00
11
00
01
10
00
10
10
11
00
00
10
00
10
10
10
10
10
00
11
00
10
00
11
10
00
11
11
10
01
10
00
01
00
11
01
10
01
00
01
10
00
00
10
00
10
01
00
11
10
10
00
10
10
01
01
10
11
00
11
10
00
11
10
10
00
11
00
00
11
00
00
11
10
00
10
00
10
10
01
01
10
10
10
00
10
11
00
00
10
11
10
10
11
00
11
10
10
00
10
11
11
10
00
10
00
00
00
00
10
00
10
00
10
11
10
10
00
00
01
10
11
10
11
10
10
01
10
00
10
00
00
11
10
00
01
11
10
11
11
10
11
00
10
00
00
11
11
00
01
10
10
00
10
11
10
01
00
00
11
10
00
11
11
00
00
10
00
01
01
10
01
00
11
11
10
00
11
10
00
10
11
01
11
01
00
11
10
00
00
11
11
00
00
11
10
01
01
11
01
10
10
00
10
11
01
11
00
11
00
01
10
00
01
10
10
00
11
10
00
00
00
10
01
10
10
10
00
10
11
10
00
01
01
11
01
00
10
00
10
00
10
11
10
10
10
00
00
01
00
00
01
10
10
00
01
00
11
10
01
11
10
00
10
00
01
11
10
00
11
10
00
10
00
00
00
00
10
11
00
00
00
00
10
10
10
00
01
10
00
01
11
10
11
10
00
10
10
10
00
11
00
00
11
00
01
10
11
10
01
10
10
10
00
10
11
00
00
01
00
11
00
01
11
10
11
00
11
10
00
01
00
11
11
11
00
01
00
00
11
10
11
10
11
00
00
01
10
10
11
01
10
10
00
11
10
01
10
01
00
10
00
00
10
10
10
01
01
00
10
11
00
01
01
10
00
00
10
11
00
10
10
00
10
01
00
10
10
01
00
00
10
10
10
11
10
00
10
10
01
01
00
10
00
00
00
01
00
10
00
00
11
10
10
10
10
00
00
00
01
10
00
11
00
01
10
00
00
10
00
10
11
01
01
01
10
10
01
10
00
10
10
01
00
10
10
11
00
10
00
10
10
00
11
00
11
10
00
10
00
01
00
10
00
01
10
11
11
00
10
01
01
00
01
10
10
10
10
01
11
10
00
10
01
11
00
10
10
01
00
01
01
01
00
10
00
00
11
11
01
11
00
01
11
10
00
10
00
00
00
00
10
00
00
10
00
10
10
11
11
00
10
11
10
01
00
01
00
10
01
10
01
00
00
11
11
11
11
01
11
01
00
10
10
00
01
10
11
00
00
10
10
00
00
11
10
11
11
01
00
01
10
00
00
11
11
00
01
10
10
00
01
10
11
00
10
01
00
10
10
00
01
11
10
01
11
01
01
01
10
00
01
11
01
00
10
00
10
01
00
10
01
00
11
10
00
00
11
11
00
10
10
00
11
11
11
00
10
10
11
11
01
10
11
10
00
00
11
10
01
00
10
10
00
00
00
11
10
10
01
00
10
00
00
11
00
00
00
00
00
00
11
10
00
11
11
00
00
10
10
10
11
00
00
01
01
10
00
00
10
10
10
10
01
00
00
10
10
11
00
10
00
11
11
01
10
11
11
10
10
01
00
01
10
10
00
10
10
00
00
10
10
01
10
10
10
11
00
10
10
00
01
10
11
01
00
01
00
10
10
00
01
11
10
10
00
00
10
10
10
00
11
11
10
10
10
00
01
10
00
00
10
00
10
00
00
10
01
10
11
11
00
11
00
11
01
00
11
11
10
01
00
10
10
11
01
00
00
11
10
10
00
01
10
10
00
01
00
11
00
00
00
11
11
00
00
11
00
10
00
01
11
11
11
00
10
00
01
00
00
11
10
00
00
01
10
01
00
10
10
00
10
10
10
00
01
11
10
11
10
11
10
10
00
01
11
00
01
11
10
10
11
01
00
11
00
11
10
10
00
11
00
00
10
11
00
00
00
10
11
00
00
00
11
00
01
10
00
11
10
10
00
10
10
01
11
01
11
11
00
01
00
11
10
01
00
11
00
00
10
10
10
01
10
11
01
11
00
01
10
11
00
10
01
00
11
01
11
10
11
11
00
11
00
00
10
01
00
10
00
10
00
10
11
00
10
10
10
10
01
11
10
00
00
00
01
11
11
01
10
10
00
01
10
01
00
10
00
01
10
00
00
11
00
01
00
10
10
00
01
10
00
01
00
11
01
10
10
00
00
00
00
10
01
00
01
11
11
10
11
10
01
00
10
01
10
01
10
01
01
11
10
10
00
00
11
00
01
11
01
00
10
01
11
10
00
01
11
11
00
10
01
00
00
11
11
10
00
00
11
10
00
01
10
01
11
00
01
11
11
10
01
01
10
00
00
10
10
10
00
10
11
11
10
00
10
01
10
00
01
01
11
10
10
10
11
00
00
10
10
10
11
10
10
00
00
00
10
10
01
11
10
11
11
00
11
10
01
00
11
10
00
10
10
00
00
10
11
10
10
00
00
00
00
10
10
00
01
00
00
00
10
01
01
10
11
00
01
01
00
10
10
01
00
00
11
00
10
01
10
10
10
10
00
00
10
10
00
11
01
00
10
01
10
10
01
11
00
10
00
01
10
10
00
11
00
11
11
10
00
11
10
00
10
00
10
10
00
11
00
00
01
10
01
01
00
10
00
00
11
10
11
11
10
11
00
10
10
11
10
10
10
01
10
10
10
01
01
00
00
10
01
00
00
11
10
00
00
01
00
10
10
11
00
10
10
01
00
00
01
11
10
00
10
01
00
00
10
00
01
00
01
00
10
00
10
10
10
10
01
11
10
01
01
00
01
00
10
10
11
01
00
10
00
00
10
10
00
10
10
10
10
00
00
00
11
11
00
11
01
10
00
10
00
10
11
00
00
10
01
10
10
10
10
00
01
00
10
11
01
00
00
10
01
11
10
10
01
00
00
01
10
11
00
00
01
10
01
10
00
00
01
00
00
00
11
11
01
11
10
01
01
10
10
00
00
00
01
10
11
00
00
00
10
11
01
10
10
00
11
10
10
10
01
11
10
00
00
11
10
01
01
10
01
00
11
00
10
10
10
10
01
11
00
00
00
10
11
00
10
00
01
00
10
11
10
00
00
00
11
10
00
10
10
00
00
11
10
01
00
10
10
11
10
00
00
11
10
00
01
10
00
00
00
01
01
11
00
11
00
01
10
01
00
10
11
11
10
00
10
10
10
10
01
01
10
00
00
11
00
01
10
00
11
10
00
01
01
00
10
10
01
01
10
11
10
00
01
10
10
00
01
10
10
10
10
10
00
00
00
00
10
00
11
10
11
00
10
10
00
01
01
10
10
01
10
10
01
01
10
01
00
01
10
10
00
10
01
10
01
00
00
01
11
00
00
11
10
00
00
00
10
10
00
01
00
00
10
10
00
01
11
11
10
00
10
01
01
01
10
11
11
00
10
00
10
10
00
10
00
00
00
11
10
11
10
00
00
10
10
00
01
10
10
01
00
00
00
11
10
11
00
11
10
00
00
10
11
00
10
11
00
00
10
00
10
10
10
00
00
10
00
00
10
01
10
00
01
10
01
11
00
10
10
11
10
00
00
00
11
10
00
11
11
01
00
00
10
10
00
01
00
10
00
00
10
11
10
01
11
10
01
01
00
10
10
00
10
00
01
00
00
11
11
10
10
00
00
00
10
10
10
00
10
00
00
00
00
00
10
00
01
10
00
11
11
10
01
10
11
00
00
01
10
00
10
10
00
00
00
11
00
00
10
10
00
11
01
11
01
00
11
00
10
10
10
01
00
10
01
11
11
00
00
10
10
10
00
11
10
00
10
01
00
11
01
10
11
10
00
01
00
00
00
10
11
01
01
00
11
10
01
10
11
00
01
10
10
11
01
10
00
10
00
10
10
01
11
10
11
01
00
11
01
00
10
11
00
00
10
11
00
10
00
00
11
10
00
00
01
11
10
01
00
10
10
10
10
11
01
01
00
10
00
01
10
00
00
10
10
00
00
10
11
01
10
10
01
00
11
11
00
00
00
10
10
11
01
01
10
00
00
10
10
10
00
00
00
00
11
00
01
10
01
10
11
10
00
10
10
01
00
11
00
10
00
11
00
00
10
01
10
10
00
10
10
01
11
01
01
10
01
10
10
10
00
10
10
01
00
00
01
00
00
00
00
10
11
00
10
00
01
00
00
10
00
00
11
01
10
11
01
11
11
01
00
10
00
10
01
00
10
10
00
00
01
00
01
10
01
10
10
11
00
01
10
10
00
11
11
10
10
00
11
11
11
10
10
10
10
10
00
00
10
00
01
00
00
00
11
10
00
10
10
10
00
00
11
10
10
01
11
10
10
10
01
10
11
00
01
01
01
01
11
00
00
10
10
00
00
10
00
00
00
10
10
10
11
10
00
00
10
00
10
11
10
10
11
01
11
10
00
00
10
00
10
10
00
00
11
00
10
11
10
01
10
10
11
00
00
10
10
00
00
00
10
01
10
01
00
11
00
11
00
00
10
10
10
00
01
01
00
10
10
10
00
10
10
00
00
00
00
11
11
10
01
11
01
01
11
00
10
10
11
01
01
10
10
01
00
00
10
10
00
10
11
00
10
00
11
00
00
10
01
10
00
00
10
11
10
01
10
00
11
00
00
01
01
11
10
00
01
10
10
10
10
01
01
10
01
10
00
10
10
00
11
01
00
00
11
10
01
10
11
00
10
01
10
11
00
01
10
11
10
01
00
00
00
10
00
11
00
01
00
00
01
00
11
00
00
11
10
10
11
00
11
00
00
11
10
11
11
00
00
00
10
10
10
00
00
00
10
00
10
01
11
01
10
10
11
10
00
11
00
00
10
01
11
01
11
10
10
00
01
11
00
00
10
11
11
10
01
01
10
00
10
10
11
01
00
11
10
01
10
10
01
00
10
10
10
00
11
00
11
00
00
10
00
10
11
00
01
00
10
00
00
11
10
11
10
01
01
00
01
10
11
00
10
11
01
00
11
10
01
11
00
00
10
00
00
00
01
11
00
01
01
10
11
11
11
10
10
01
00
10
10
00
00
11
01
10
10
00
00
10
10
11
00
11
10
10
10
11
10
00
10
10
01
00
00
11
10
00
01
10
11
10
10
00
10
00
11
10
10
00
00
11
10
00
01
11
00
10
01
10
00
00
11
10
00
10
00
10
11
00
00
10
00
00
00
00
00
10
10
01
00
10
00
10
01
00
10
10
01
00
11
10
10
10
10
10
00
00
10
10
01
00
11
00
00
10
00
11
01
01
10
10
00
11
00
11
10
00
00
10
00
11
00
00
10
00
11
00
00
10
11
01
00
00
11
00
10
00
11
01
00
11
11
10
11
00
01
11
10
00
10
00
00
01
00
10
11
10
10
11
10
00
10
10
11
00
01
00
01
00
01
00
11
01
00
11
10
11
01
00
01
00
11
10
01
10
11
11
00
00
00
00
10
10
01
00
10
11
11
00
11
01
00
00
00
10
10
00
00
00
01
10
11
01
11
10
10
00
11
10
00
01
00
10
11
00
00
00
11
00
11
00
01
00
11
10
00
10
10
10
01
00
10
10
10
10
00
00
10
00
01
10
01
10
10
00
01
01
11
00
00
00
10
10
00
10
10
10
10
00
11
01
11
01
01
10
00
00
10
00
00
10
10
00
00
00
10
11
11
01
00
01
10
00
11
10
00
00
01
10
00
01
10
00
00
10
11
10
01
00
00
11
01
01
11
01
01
00
00
00
10
10
00
00
11
10
00
00
10
10
11
00
00
10
01
00
11
01
10
10
00
01
11
11
00
01
10
10
00
11
00
00
00
00
00
10
11
01
00
00
00
10
00
10
11
00
11
10
00
00
10
11
00
00
00
10
00
10
10
10
10
00
11
11
00
00
10
10
01
10
00
11
10
01
00
11
01
10
10
00
10
10
11
00
10
11
00
10
00
10
10
10
10
00
00
10
11
01
10
01
11
11
10
11
00
01
00
11
10
00
01
10
11
10
11
00
00
00
10
10
01
10
00
01
00
11
11
11
01
10
10
10
11
00
00
01
11
11
01
01
10
10
00
00
00
11
11
11
00
00
00
11
10
10
00
00
10
00
11
01
00
01
10
11
10
01
10
11
00
00
00
10
10
00
00
11
11
10
00
10
01
10
10
11
00
11
10
10
00
10
00
10
11
00
11
10
01
11
10
10
00
10
10
10
00
00
11
00
10
10
01
10
01
10
10
00
00
00
11
00
11
10
10
10
01
00
10
11
01
00
10
10
01
00
10
01
01
11
00
00
01
00
11
10
10
00
11
11
01
00
11
00
00
10
11
11
00
00
10
00
01
10
01
01
00
11
10
01
10
11
11
10
10
10
01
00
10
10
00
01
10
01
00
00
01
10
11
11
00
01
11
01
01
00
11
01
10
10
00
01
10
01
00
01
10
01
10
10
10
00
00
00
01
10
11
10
00
00
00
01
11
11
01
10
00
10
00
10
10
01
00
11
10
00
10
10
10
11
00
00
11
10
10
00
10
10
01
01
11
00
00
10
00
10
00
00
10
11
11
00
11
00
10
00
00
10
00
11
10
10
00
01
10
10
00
00
10
01
00
10
10
10
00
11
10
10
01
10
00
00
00
00
01
11
00
01
10
11
10
00
00
01
11
10
00
01
10
10
10
00
00
01
00
11
01
00
11
00
11
11
01
10
11
00
01
01
11
01
00
10
00
11
00
01
00
10
10
01
00
11
01
10
00
10
10
00
10
00
00
00
00
01
00
10
01
00
00
10
10
01
00
10
00
01
10
11
10
00
01
00
00
00
11
10
01
10
10
01
00
00
10
00
00
10
00
10
11
00
10
11
10
11
11
11
01
10
10
00
11
10
00
00
11
10
10
00
00
10
11
11
10
00
10
10
01
10
01
00
11
11
01
01
00
10
00
00
11
10
00
00
00
01
00
00
10
00
01
10
00
00
00
10
00
10
00
10
10
01
10
10
10
01
11
11
10
00
00
01
00
10
10
00
00
10
10
00
01
01
01
00
10
00
00
11
11
10
01
10
11
11
00
11
00
00
11
00
11
11
00
01
10
00
11
10
00
10
11
00
00
10
00
00
10
00
11
00
11
10
00
10
10
01
00
10
10
01
00
10
01
00
10
10
00
01
10
00
10
01
01
10
01
11
10
11
01
11
01
01
00
01
10
11
10
01
01
10
10
00
01
10
10
00
01
10
01
00
01
10
01
11
00
01
10
00
01
01
10
10
10
01
00
11
01
11
10
01
01
00
00
10
10
11
00
00
00
11
00
00
10
10
00
11
01
10
11
11
10
11
10
00
11
00
11
01
01
10
10
00
11
10
00
01
11
00
00
10
10
00
00
00
00
00
11
00
10
00
01
10
00
00
00
01
10
00
10
00
00
10
10
10
10
01
01
11
11
10
10
00
00
10
10
00
00
10
10
01
11
00
11
10
00
00
00
10
11
01
00
10
10
01
00
00
01
00
10
11
00
01
10
00
10
01
00
11
10
01
10
11
10
00
00
11
00
10
10
00
10
10
11
10
10
00
10
10
11
00
01
10
01
10
00
00
00
11
10
11
10
01
01
10
00
00
10
10
10
11
01
00
10
01
10
10
10
10
00
10
10
00
11
10
11
11
00
00
00
00
11
01
10
10
01
10
10
10
11
11
00
00
11
00
10
10
01
11
11
10
10
00
00
00
00
10
11
00
00
00
10
00
11
00
10
11
00
01
00
10
00
10
00
11
10
00
10
01
10
11
10
00
10
10
10
11
11
11
10
00
00
10
00
00
00
10
10
00
00
00
10
10
10
00
00
10
10
10
00
00
00
00
01
11
01
11
10
00
10
00
00
00
10
11
10
11
01
10
10
00
11
00
01
10
10
10
10
00
00
10
10
10
01
11
10
10
01
11
01
00
01
00
00
00
10
01
00
10
10
00
11
11
00
11
01
01
11
11
11
01
01
00
11
10
00
00
10
11
10
00
00
11
11
11
10
11
10
00
01
10
01
00
00
10
00
10
00
10
11
11
00
10
00
10
01
01
00
00
11
10
00
01
11
10
00
11
11
00
00
10
10
00
10
10
01
00
01
01
10
11
11
10
10
00
00
11
10
11
01
01
01
00
01
10
10
01
00
10
10
10
00
00
11
00
01
10
11
00
10
00
11
11
00
01
10
00
00
10
10
01
00
11
00
00
10
10
11
10
10
10
01
00
01
01
00
10
10
11
11
10
01
00
01
10
00
00
10
10
00
10
10
10
00
00
00
10
10
00
00
01
00
01
01
11
00
00
00
01
10
10
01
10
11
11
11
01
10
00
10
00
01
11
00
00
11
00
00
10
10
01
01
10
10
00
00
11
10
10
00
10
10
01
01
00
01
00
00
00
10
10
01
00
11
00
10
01
11
00
00
00
10
10
10
10
00
00
01
01
11
10
00
00
11
00
00
11
10
01
00
01
00
00
00
10
00
10
01
00
00
10
01
11
11
10
10
10
11
01
01
00
10
11
11
10
00
10
10
01
11
00
01
10
10
00
00
00
10
10
00
10
00
00
10
10
10
00
10
10
01
00
00
00
10
00
01
10
10
10
10
00
01
01
00
01
00
00
10
11
10
00
00
10
10
00
10
01
10
01
00
00
01
10
00
11
11
00
10
10
11
00
00
11
10
11
10
11
00
00
11
01
00
11
10
00
01
00
00
10
10
00
01
10
10
00
00
10
00
10
10
10
00
00
01
10
01
00
00
10
10
01
00
10
11
00
00
10
10
00
01
00
01
10
10
11
01
10
10
10
10
00
01
00
10
11
11
10
10
10
00
01
00
11
10
00
10
00
10
00
01
10
00
01
10
01
10
10
11
00
10
00
00
00
11
00
00
11
11
10
00
11
00
00
11
11
00
00
10
01
10
01
01
10
10
01
11
00
01
10
10
01
10
00
00
00
11
00
01
10
00
10
00
01
10
00
00
10
00
00
00
10
11
00
10
10
00
10
11
10
00
00
01
00
00
01
10
10
00
01
11
11
10
00
00
11
01
10
10
00
00
00
00
11
11
00
10
01
10
00
11
00
00
11
10
11
01
11
01
10
00
00
00
10
10
00
11
10
00
11
10
10
10
10
01
10
01
10
10
01
10
10
01
10
11
11
11
10
00
00
10
11
00
01
11
11
01
01
10
10
10
00
00
11
01
01
11
11
01
01
01
10
11
00
00
10
00
00
11
10
10
10
10
01
10
10
01
10
00
00
10
10
00
11
10
10
00
00
11
11
11
11
10
00
01
10
10
01
00
10
00
00
00
00
10
11
10
00
11
01
00
10
01
01
11
11
01
00
11
11
00
01
10
00
00
10
10
11
10
11
10
00
10
00
10
10
11
00
00
01
10
11
11
10
00
01
00
10
11
10
00
01
10
10
10
00
00
11
00
10
10
11
00
00
00
00
00
00
11
11
00
11
10
10
10
00
10
01
00
11
00
01
11
10
01
00
00
11
10
00
00
00
11
10
00
10
01
10
10
10
10
10
11
10
01
10
00
10
10
00
10
01
00
00
10
10
01
00
10
01
00
00
11
00
00
10
10
11
01
10
11
00
00
10
00
10
11
10
01
10
11
10
11
00
00
10
00
00
10
10
01
00
00
10
10
01
10
11
01
01
11
10
00
10
00
00
11
10
00
01
00
11
00
11
10
10
11
00
00
10
11
01
01
10
01
10
01
00
11
10
10
01
00
00
10
10
00
01
11
10
00
10
00
00
01
00
11
10
00
11
01
00
00
10
00
10
10
00
11
10
10
00
10
01
10
00
00
10
11
11
01
00
01
10
10
10
00
00
10
00
11
01
00
01
00
10
10
01
10
10
01
10
11
01
10
11
11
01
00
10
10
10
00
00
10
11
00
11
10
10
01
11
11
00
10
00
11
10
01
10
10
00
11
10
10
11
01
00
00
10
11
00
01
00
10
00
10
10
01
00
00
10
11
10
10
01
01
10
01
10
00
00
10
10
01
01
11
10
00
10
10
10
10
10
01
00
11
01
10
10
01
00
10
10
00
00
10
11
01
01
00
11
10
10
00
00
10
00
10
10
11
01
11
11
01
10
01
01
10
10
00
01
10
01
11
00
01
00
11
10
01
11
10
10
00
10
11
00
00
10
10
00
11
00
00
11
10
10
01
10
00
10
00
00
00
11
11
10
10
10
10
10
10
00
10
10
00
01
00
10
10
11
00
00
00
10
01
10
01
11
10
00
01
01
11
10
11
00
00
00
10
10
01
00
11
00
00
00
10
11
01
10
10
10
01
00
11
00
00
10
01
10
01
11
10
11
00
10
10
11
01
01
11
10
10
01
00
01
11
10
00
10
10
00
11
11
00
01
10
00
00
00
10
10
01
00
11
10
00
01
10
11
11
00
10
10
10
00
10
10
10
01
10
10
01
01
10
01
10
00
00
10
00
10
00
00
00
10
10
10
11
10
10
10
10
01
00
10
00
01
00
00
10
11
10
01
10
01
10
10
01
00
11
10
11
01
01
00
00
10
10
11
00
00
11
00
01
00
00
11
10
00
00
01
10
10
11
10
00
00
00
01
10
10
10
00
00
10
11
10
11
00
11
10
00
11
01
01
10
10
10
00
01
10
01
01
11
11
10
00
10
11
00
00
10
11
00
00
10
11
01
11
10
00
00
01
00
11
10
01
00
10
01
00
01
11
00
00
11
00
00
11
10
10
10
00
10
00
00
00
00
11
10
00
00
01
01
11
11
00
00
10
10
00
10
11
00
10
00
00
01
10
11
00
11
00
10
11
10
11
01
00
10
10
01
00
10
11
01
01
01
10
00
10
10
10
10
00
00
10
01
00
11
10
01
00
10
00
10
11
00
00
10
01
00
11
10
00
10
01
10
01
00
11
10
00
00
00
11
10
01
00
00
10
10
01
00
10
11
01
10
10
00
10
10
01
00
00
00
10
01
00
10
01
01
10
10
10
10
11
10
00
01
01
10
10
00
00
10
00
01
10
10
10
00
00
01
10
11
00
00
10
10
00
10
10
11
10
01
00
10
11
10
00
00
10
11
11
01
01
00
11
10
10
00
01
10
00
00
10
11
00
00
10
01
00
10
10
00
10
00
01
10
00
00
11
10
11
10
01
01
10
10
00
00
11
00
11
10
11
10
00
00
10
01
00
10
00
00
01
00
11
10
10
00
10
00
10
10
00
00
00
10
00
10
00
10
10
10
10
00
00
10
00
01
11
10
00
10
11
00
10
10
10
10
01
01
10
00
01
01
00
00
11
10
11
00
00
01
10
01
01
00
10
10
10
00
11
10
10
10
10
11
10
01
00
11
10
00
11
11
10
10
00
01
10
01
00
00
10
00
10
10
00
11
10
00
01
00
01
00
11
11
01
00
00
11
11
10
11
00
01
11
10
10
00
11
11
01
01
11
01
00
10
01
00
11
11
00
01
01
11
10
10
00
10
11
01
10
01
10
10
01
01
11
10
11
00
11
00
00
10
11
01
00
00
10
10
10
10
00
11
10
00
10
10
00
00
10
00
00
01
11
10
10
10
10
10
00
10
00
00
10
11
00
00
11
00
00
11
10
11
10
01
00
00
00
10
10
01
00
11
11
11
01
01
10
10
01
00
11
11
00
01
10
01
10
11
00
00
01
11
10
00
00
10
01
00
11
10
00
00
11
01
00
01
00
10
11
11
01
10
10
00
10
10
00
00
10
00
01
11
10
11
00
10
10
01
00
11
01
00
10
10
00
10
11
01
00
00
00
10
00
00
01
10
11
01
00
00
10
00
00
10
10
10
00
00
11
00
10
00
10
00
00
00
00
00
11
11
01
00
00
10
10
01
11
00
10
10
00
00
10
00
01
11
11
00
01
11
00
00
10
10
10
00
01
10
00
00
11
10
01
00
10
01
10
10
00
00
10
11
11
00
10
01
10
10
00
01
11
11
10
10
00
10
00
10
10
00
01
11
10
00
01
00
00
01
10
00
00
10
00
00
10
10
00
10
10
00
00
01
00
01
10
11
11
10
01
10
10
01
11
10
11
00
01
11
01
00
11
00
00
00
01
10
00
00
10
00
10
00
10
00
11
01
11
00
01
10
00
00
00
00
10
10
10
10
10
11
11
10
01
00
11
10
00
10
00
10
10
10
00
00
00
10
01
11
01
01
11
10
10
00
00
01
00
10
11
11
10
01
00
10
01
01
10
10
00
01
10
00
11
10
00
01
01
00
11
11
10
10
11
01
10
00
00
10
10
10
10
00
01
10
10
11
10
01
10
10
00
00
11
00
00
11
10
00
10
00
10
10
01
10
10
10
11
01
01
00
10
11
01
11
00
11
11
10
00
00
00
11
00
00
11
00
10
10
00
10
00
10
11
00
00
10
10
11
11
11
10
10
00
11
11
01
01
11
00
10
01
00
10
10
00
00
00
10
00
11
10
11
10
00
10
00
01
10
00
01
00
00
11
01
11
01
00
00
01
11
00
10
11
00
00
00
10
11
10
00
10
00
00
10
00
00
01
10
00
11
01
10
10
00
10
00
11
01
00
10
10
00
01
10
00
00
11
10
10
11
00
00
00
00
11
00
00
10
01
00
11
00
00
11
11
10
11
10
01
00
01
10
10
11
00
01
01
10
10
01
00
10
11
01
00
10
10
11
00
01
10
10
00
10
11
01
00
11
11
01
00
00
10
00
10
10
00
01
00
10
10
10
10
00
10
10
01
01
00
10
11
01
10
10
01
00
11
11
00
11
10
10
00
10
10
01
01
11
01
00
10
10
10
00
00
11
11
01
10
10
01
10
10
00
00
11
11
01
10
00
00
00
01
01
11
01
10
10
01
10
10
11
00
00
10
11
10
00
00
00
00
10
10
00
10
11
10
10
00
10
11
00
00
00
00
01
11
00
11
10
00
01
10
10
11
00
01
11
10
11
10
10
01
00
10
00
10
11
00
10
10
00
01
11
10
11
11
10
10
01
00
10
10
00
00
11
11
00
10
00
11
10
01
11
10
01
10
00
01
00
10
00
10
10
00
01
01
10
10
10
10
01
11
10
00
10
01
10
10
00
00
10
11
01
10
10
00
00
00
11
11
11
10
10
11
01
11
01
00
10
10
00
00
10
11
10
10
00
00
10
00
10
10
10
00
10
11
10
01
11
10
01
10
10
10
00
01
01
00
10
10
10
00
01
11
01
00
10
10
01
11
01
00
11
10
00
10
10
00
00
00
11
10
01
10
00
11
00
00
10
10
10
10
11
10
11
10
11
01
10
10
01
01
11
11
00
10
00
11
00
01
10
11
10
01
00
01
00
10
11
00
10
10
00
00
10
11
01
00
00
10
10
10
10
01
00
01
11
01
10
11
01
10
10
00
10
00
00
10
00
01
10
00
00
00
10
00
00
11
10
00
00
10
10
10
01
00
10
11
11
10
00
11
00
10
01
10
10
00
10
11
00
10
01
00
10
00
11
00
10
00
00
10
10
01
01
11
10
00
00
10
10
00
11
11
10
00
11
00
01
10
01
00
10
00
10
01
00
11
10
11
11
01
10
00
10
11
00
00
10
10
10
00
01
00
01
01
00
10
00
01
10
11
01
00
00
10
11
10
00
00
10
10
00
11
01
11
10
10
00
01
01
10
10
00
10
01
10
10
01
00
10
01
10
00
10
10
00
11
10
00
10
11
00
10
01
00
00
00
10
10
10
11
11
10
11
10
00
11
11
11
00
00
00
10
10
00
01
10
11
01
01
00
00
00
11
10
00
01
11
11
10
10
00
00
00
11
10
00
10
00
00
11
11
00
00
00
10
10
00
10
00
00
00
11
11
01
10
00
00
00
10
10
00
00
00
11
00
11
01
10
10
11
10
10
10
01
00
00
00
10
00
10
00
10
10
01
10
11
00
10
10
10
10
00
10
00
00
01
00
00
10
11
10
00
10
11
00
00
00
00
00
00
11
10
01
10
00
00
01
10
10
01
11
11
11
10
00
00
10
01
00
00
10
10
00
01
00
10
01
00
10
00
00
00
11
00
10
10
10
01
00
11
00
00
10
01
10
10
10
01
11
10
10
01
10
01
00
10
00
10
10
01
10
10
11
00
10
10
10
01
00
10
01
10
10
11
00
00
11
11
00
00
00
10
00
00
10
00
00
10
10
10
10
10
00
01
10
01
11
00
11
10
11
10
10
00
10
10
00
10
11
00
11
00
10
00
10
10
11
00
00
00
00
10
11
11
10
11
01
11
00
00
10
10
01
11
01
00
00
11
01
10
10
11
01
10
00
00
10
01
00
10
11
00
10
10
00
01
00
11
00
10
10
11
00
01
11
10
00
11
00
11
00
01
00
01
11
00
01
11
00
00
00
01
00
00
10
10
10
01
10
00
00
10
10
00
10
00
10
00
11
11
00
00
10
10
10
00
00
11
00
00
01
11
11
01
01
10
10
01
10
11
00
11
10
00
11
11
00
00
10
00
10
10
11
10
11
11
01
00
01
10
11
00
00
00
10
10
01
10
10
10
00
00
10
11
00
00
00
01
00
11
10
11
00
01
01
10
10
00
10
00
11
10
01
10
00
01
10
11
00
11
11
10
00
01
01
10
10
00
10
10
00
10
10
00
10
01
01
01
11
00
11
00
01
01
10
10
00
00
00
00
10
10
11
00
00
10
11
10
10
11
00
10
01
10
10
00
10
11
10
10
01
00
10
00
10
00
00
01
11
11
01
01
10
10
00
10
00
10
10
00
00
00
10
10
11
01
10
11
10
00
11
00
11
00
01
01
01
11
10
10
01
00
10
01
00
00
10
10
01
10
10
11
00
01
00
10
00
10
00
00
10
10
01
00
10
11
01
11
10
00
11
11
11
11
01
00
01
00
10
10
00
11
01
10
11
01
01
00
01
00
11
10
11
00
00
10
11
00
01
10
10
11
10
11
00
00
10
10
10
01
01
10
10
00
10
00
10
11
00
01
10
10
00
00
11
00
01
10
11
11
00
11
01
00
10
00
10
11
01
01
00
10
11
00
11
10
10
00
01
10
01
10
10
10
10
10
10
11
00
00
01
11
11
10
10
10
00
01
01
01
11
11
01
10
00
00
00
10
01
10
11
11
10
01
00
00
10
11
10
10
00
00
11
00
00
11
10
10
00
01
00
00
10
00
10
00
01
10
10
01
00
00
00
01
00
10
10
00
00
10
00
10
10
00
11
10
01
00
11
10
10
00
01
00
10
10
01
10
10
10
10
00
11
00
01
00
00
00
01
00
10
00
10
11
01
01
11
11
01
01
00
11
10
11
00
00
10
10
11
11
00
01
11
01
10
01
00
10
10
01
10
10
10
00
10
11
10
00
10
01
00
00
00
11
00
10
00
00
01
00
10
10
01
10
00
11
10
00
11
01
00
11
01
10
00
00
00
01
10
11
11
11
00
11
11
00
00
10
11
01
01
11
00
00
10
00
10
10
00
01
10
00
00
00
10
00
01
10
01
00
10
11
00
00
11
10
00
10
10
10
10
01
00
00
01
00
10
10
00
00
10
00
01
11
10
00
10
00
10
10
00
00
00
10
00
00
10
00
01
00
10
11
10
10
11
00
00
10
00
01
00
10
10
10
11
01
01
00
10
10
00
00
10
10
01
10
10
11
00
00
00
10
01
00
00
10
10
01
11
00
10
10
00
10
10
00
00
00
10
00
00
10
10
01
10
11
11
10
00
11
10
11
00
00
00
10
10
10
11
00
11
10
01
00
11
00
00
10
11
10
00
00
10
10
01
00
00
10
10
01
11
00
01
10
00
00
10
11
00
11
10
00
11
11
01
00
11
10
10
01
00
00
00
10
11
11
00
11
00
01
01
01
00
01
11
00
00
01
01
10
00
00
11
11
10
01
01
10
10
01
01
10
01
00
11
00
11
10
00
00
11
11
10
00
01
10
00
10
10
00
00
10
00
00
10
10
00
00
10
00
00
11
10
10
10
11
10
10
00
10
11
10
11
00
00
11
10
01
00
10
10
00
01
01
11
10
00
11
01
00
00
11
00
10
11
11
11
00
01
00
11
10
10
10
00
10
10
00
00
10
00
10
00
00
00
01
10
10
11
10
10
00
01
00
10
11
10
00
11
01
00
10
10
00
01
10
00
01
01
11
00
10
00
10
11
11
01
01
00
10
10
10
11
10
00
00
10
01
00
01
10
11
10
11
00
01
11
10
11
00
10
00
10
00
00
10
10
11
00
10
10
00
01
10
10
11
10
00
10
11
00
00
00
11
00
10
00
01
10
00
00
00
00
00
10
11
10
01
01
10
10
00
11
01
00
11
10
01
01
10
11
00
00
10
11
00
00
00
10
11
10
10
00
00
10
11
00
10
00
00
01
00
00
10
10
00
00
10
11
01
00
00
11
00
01
00
10
10
10
00
01
10
01
00
10
01
00
11
00
10
00
00
10
00
10
11
11
10
01
10
00
01
10
00
10
10
01
11
11
00
00
10
10
00
11
10
00
00
01
10
10
01
11
11
11
11
01
00
01
11
01
00
11
10
00
01
11
11
11
01
00
10
10
11
00
11
11
11
11
11
01
00
11
10
01
10
11
00
00
10
10
01
00
10
11
10
00
10
01
11
00
10
10
00
10
00
01
01
10
11
00
00
00
10
01
11
10
00
00
10
10
00
11
00
10
00
10
00
00
10
00
01
10
00
10
10
00
10
10
00
00
10
00
11
00
00
01
01
10
00
00
11
10
01
10
10
10
01
10
11
00
01
10
10
10
10
10
00
11
11
11
00
00
11
00
00
11
00
00
00
00
11
00
10
10
10
00
10
10
00
10
00
00
10
11
10
11
11
00
01
01
00
10
10
01
00
10
11
10
11
10
00
00
00
10
00
00
10
10
11
11
11
01
00
00
11
00
10
10
10
11
00
00
10
10
00
00
01
01
00
11
10
01
00
00
10
00
01
11
00
10
00
00
00
00
10
01
00
10
00
10
10
10
00
11
00
00
10
10
00
00
11
10
00
00
11
00
10
10
10
00
01
00
10
10
10
00
10
01
11
11
00
01
10
01
11
00
10
10
00
10
01
00
01
10
11
01
10
01
00
10
10
10
01
01
10
10
11
01
00
10
01
10
10
10
00
11
11
10
00
11
10
11
10
00
00
10
01
11
01
00
10
01
00
10
11
01
11
00
10
10
00
11
10
11
01
00
00
00
10
10
10
00
00
10
00
10
00
10
01
11
00
10
00
10
11
01
00
00
00
10
00
01
10
01
00
00
10
00
11
10
11
01
00
11
00
01
11
01
00
11
10
10
00
00
11
10
10
00
01
10
11
11
00
10
00
11
00
10
11
00
01
01
10
11
11
11
00
00
00
11
10
00
10
10
00
00
11
00
00
10
00
00
10
11
01
10
00
10
10
01
01
10
00
01
11
01
10
00
00
01
10
10
00
01
01
00
11
01
11
11
10
00
01
11
01
00
10
11
00
11
00
01
10
00
10
00
01
10
11
10
00
00
10
00
10
10
01
00
10
00
00
11
00
10
11
00
00
01
10
01
10
10
11
01
01
10
10
00
11
11
11
01
01
00
11
10
00
10
10
01
00
10
10
10
10
00
00
00
01
10
00
10
10
11
00
00
10
10
10
00
01
10
01
00
10
11
10
10
01
10
11
00
00
10
01
11
11
00
10
10
01
00
10
00
01
10
11
10
11
01
01
11
11
11
00
10
10
00
00
11
11
00
01
00
01
10
01
01
10
11
10
10
00
00
00
11
00
11
00
01
10
11
00
00
10
10
00
01
00
10
10
00
01
10
10
00
01
10
01
10
00
01
11
11
10
01
00
01
10
11
01
00
10
11
01
10
01
00
10
10
00
10
10
01
00
01
10
11
00
00
00
10
11
01
10
10
10
10
10
11
00
00
00
00
11
01
11
10
00
00
10
10
10
01
00
10
10
11
00
01
00
00
00
00
00
10
11
01
10
11
00
10
11
01
01
00
11
10
00
00
00
10
00
00
10
10
10
00
01
00
10
10
00
01
10
00
01
00
00
00
00
10
10
00
01
11
11
00
10
01
00
10
10
00
00
10
11
10
00
01
00
10
00
10
10
10
10
11
00
01
00
01
00
10
11
00
01
10
10
01
11
00
01
00
00
11
10
00
00
10
10
00
10
10
00
00
01
01
00
00
10
10
10
00
01
11
10
01
10
10
00
10
01
10
10
00
01
00
00
00
11
10
01
00
00
00
11
00
10
10
00
01
00
00
11
00
00
00
10
01
10
10
01
00
11
10
10
01
01
11
01
10
00
10
10
10
10
00
00
10
00
00
10
10
01
00
00
10
11
11
00
10
10
00
00
00
01
00
10
10
11
11
00
10
00
01
00
01
00
10
11
00
10
01
00
11
10
00
10
10
01
00
10
10
11
00
01
11
10
10
00
00
00
11
10
01
10
10
10
11
00
10
11
00
00
10
01
00
10
10
00
10
10
00
00
10
10
10
10
00
00
11
00
00
11
10
11
10
00
00
01
10
01
00
11
10
10
10
00
10
11
01
01
11
00
10
00
11
00
01
10
11
10
10
01
10
11
00
10
11
11
00
00
01
11
00
10
10
11
10
10
00
01
10
10
10
10
10
11
11
01
11
11
10
01
00
00
01
00
10
10
00
01
00
00
01
00
11
10
10
10
10
01
00
10
10
10
00
01
01
00
00
00
00
11
10
10
00
10
00
11
00
01
00
01
11
11
10
00
01
11
11
00
10
11
01
01
01
00
00
11
10
10
10
00
00
01
00
01
01
00
01
10
10
10
10
00
00
01
10
00
10
10
00
01
00
10
11
00
11
10
01
01
10
11
01
10
10
10
00
00
00
10
11
00
01
00
00
11
00
00
00
00
10
00
11
10
11
10
01
00
01
10
11
01
10
10
00
10
11
10
00
00
01
00
01
10
10
01
11
01
00
00
00
00
10
01
00
10
00
11
11
10
11
00
11
00
10
11
11
11
00
11
00
10
11
10
00
00
11
11
00
00
01
10
10
01
00
01
01
00
10
10
10
00
00
10
10
01
00
11
00
10
10
11
01
00
00
10
10
11
00
00
10
10
11
00
00
10
00
00
11
10
01
10
00
10
00
11
00
01
10
00
01
01
11
10
00
00
01
00
00
11
10
00
01
00
00
00
11
01
10
11
00
10
00
10
10
11
00
01
11
11
11
00
00
11
00
00
11
10
10
10
10
10
10
00
10
10
00
00
00
00
10
01
01
11
10
00
01
11
11
01
11
10
01
11
01
00
10
10
00
00
01
10
10
11
11
10
10
10
00
00
00
10
00
00
10
11
11
01
00
11
10
10
01
00
11
10
00
01
00
10
10
10
00
00
11
01
10
10
10
01
10
01
11
10
01
00
01
10
01
00
01
10
10
10
00
00
11
10
00
01
00
01
01
11
10
01
10
00
10
01
10
11
00
00
00
10
10
01
11
10
00
10
11
00
00
01
01
00
10
10
00
01
10
00
01
10
11
10
01
01
01
10
10
10
10
10
00
00
10
00
00
11
00
00
11
10
00
10
11
11
00
00
01
00
01
00
00
00
11
10
00
00
10
00
01
11
10
00
11
11
00
10
11
00
01
00
10
10
10
10
01
10
11
01
10
00
00
00
10
10
00
00
11
10
00
01
10
00
00
01
11
11
01
00
10
00
10
00
00
10
10
10
01
10
00
10
11
10
11
00
00
00
01
00
00
11
10
11
10
11
01
00
00
00
11
11
10
00
10
00
01
10
01
11
11
01
11
10
11
10
10
01
10
10
00
11
10
10
10
01
10
00
00
00
10
10
11
01
01
11
11
00
01
11
11
10
01
01
01
10
10
01
01
00
11
10
01
10
10
10
00
00
10
00
00
00
01
11
11
01
10
01
00
00
10
10
01
00
10
00
11
10
11
10
00
01
11
00
11
00
00
10
01
10
11
10
00
10
11
11
10
10
00
11
00
10
10
00
00
00
11
10
11
10
10
10
11
10
10
00
00
10
10
10
01
10
11
11
10
00
01
00
00
10
10
00
01
00
10
11
10
00
00
01
10
00
00
11
10
00
11
10
10
10
01
10
10
00
00
11
00
10
10
00
00
10
11
00
01
10
00
00
10
00
01
00
10
01
10
00
10
11
10
00
00
10
10
00
00
10
00
11
00
00
10
00
10
00
00
10
10
10
00
00
11
10
01
10
11
00
01
10
00
10
11
01
00
10
10
00
10
11
10
10
00
11
10
00
10
00
11
11
00
00
00
11
10
01
00
10
10
01
00
00
10
11
00
01
10
10
11
11
10
00
10
00
01
10
00
00
10
10
00
10
00
10
11
10
11
01
11
00
10
11
00
10
11
10
00
11
00
10
00
01
11
00
10
10
01
01
10
00
01
10
01
10
10
00
00
00
10
11
10
00
10
01
00
11
00
10
10
00
10
00
11
11
00
00
01
11
00
00
11
01
00
10
00
00
11
01
10
10
10
00
00
01
00
01
01
10
10
00
10
00
00
11
10
00
10
10
11
01
10
11
00
10
10
01
00
00
00
10
11
11
11
00
10
00
11
00
01
10
00
01
00
11
11
00
00
10
10
10
00
01
10
10
00
10
11
01
00
00
00
10
11
10
00
10
10
10
11
10
00
10
10
10
11
01
01
00
00
11
11
10
10
10
11
00
11
01
10
00
01
10
10
11
00
00
00
11
01
11
11
11
10
00
00
10
00
01
11
10
00
00
10
10
00
10
00
00
01
10
00
00
00
00
00
00
01
10
00
11
01
01
00
10
10
00
00
11
10
01
01
11
10
10
10
11
11
01
01
00
11
00
01
01
00
11
10
00
10
10
00
00
11
11
11
11
11
00
00
10
11
10
01
00
00
00
01
01
10
10
10
10
00
00
00
10
11
10
00
11
11
00
00
11
00
01
11
00
10
10
10
00
11
11
00
00
10
10
00
00
10
10
10
01
00
01
11
01
00
00
11
10
10
01
11
00
10
11
00
10
11
11
11
11
01
00
00
01
00
11
00
00
11
10
11
01
10
11
01
10
11
01
00
11
11
00
00
00
11
10
11
01
00
00
01
10
10
10
11
00
00
10
00
00
10
10
10
00
10
10
11
00
10
01
00
11
10
00
10
10
00
10
01
00
10
00
00
10
00
10
11
11
11
00
01
11
11
00
11
10
00
00
10
11
01
00
10
00
10
10
10
11
01
01
11
01
00
00
11
00
01
10
11
00
01
10
10
11
00
10
10
01
10
00
01
10
10
10
01
10
00
00
10
01
00
11
11
11
01
10
00
00
10
11
11
00
00
11
00
11
11
00
11
01
00
01
11
10
10
00
00
00
00
10
00
11
00
00
10
00
01
10
10
01
01
01
00
10
10
11
11
01
00
00
10
10
11
10
11
10
11
10
00
00
01
11
10
00
00
11
00
10
00
00
11
10
00
10
11
00
10
00
11
00
00
01
10
00
00
11
00
00
10
11
10
00
00
10
00
00
10
00
10
10
10
10
10
01
01
10
10
00
00
10
01
00
10
10
11
10
10
00
00
11
11
10
11
10
00
10
00
10
11
00
10
10
00
00
01
10
00
00
00
00
00
00
00
10
10
01
11
11
01
10
10
00
00
00
11
00
01
11
10
11
00
01
11
11
11
10
01
00
01
11
01
01
00
00
10
11
00
10
10
00
10
00
00
00
01
00
00
00
11
10
11
11
01
01
00
10
11
01
00
00
10
00
10
01
10
10
00
00
10
01
00
10
00
10
10
10
10
00
10
10
00
00
01
11
11
01
10
10
11
00
00
00
11
01
01
10
11
01
10
11
10
00
00
11
00
00
11
11
00
00
00
10
11
10
01
00
10
01
00
10
11
00
00
10
00
10
00
00
10
10
10
00
01
10
10
10
01
00
10
00
01
10
10
10
00
00
01
10
10
00
11
11
11
00
11
00
00
11
10
11
01
00
10
00
01
00
11
10
00
10
10
00
11
10
01
01
00
00
10
00
11
11
10
01
10
00
10
10
00
11
10
01
11
10
00
10
01
00
10
10
10
01
00
01
10
01
10
00
10
00
01
11
01
01
10
10
10
00
00
11
11
00
00
10
00
11
11
01
01
00
10
10
10
10
01
01
10
10
01
00
01
11
11
11
00
00
10
00
00
00
10
10
10
01
10
01
01
10
10
10
01
00
10
10
00
00
00
00
10
01
00
11
01
11
11
01
10
11
10
00
00
00
11
11
11
11
11
01
00
10
00
00
11
10
10
01
10
00
11
10
01
00
00
00
10
10
10
00
00
10
10
00
00
00
10
10
00
00
01
11
10
10
01
11
00
00
01
00
01
10
11
10
11
10
10
00
00
00
10
00
10
10
00
01
00
10
11
10
00
00
00
00
00
01
10
10
00
11
11
00
00
10
10
10
10
11
01
00
01
10
10
01
11
00
00
10
10
10
00
00
10
10
10
00
01
10
10
00
00
00
10
10
11
10
00
00
00
00
10
10
00
01
10
00
11
01
10
00
10
10
10
10
00
00
00
10
01
11
00
01
00
10
00
00
10
11
00
01
10
11
11
11
01
11
00
00
01
00
00
10
11
11
01
11
00
00
11
11
01
10
01
00
00
11
10
00
01
00
11
11
01
10
11
00
00
10
10
10
00
10
00
11
11
11
11
10
10
00
10
00
00
00
10
10
10
11
00
10
10
11
01
10
11
10
10
10
10
00
10
11
01
00
11
10
01
01
00
10
00
00
10
10
10
00
00
10
00
01
10
11
10
11
00
01
11
10
10
00
10
10
10
00
11
01
00
00
00
00
01
10
00
01
10
11
10
01
11
00
00
01
10
00
00
10
11
10
00
11
10
10
01
00
10
00
00
00
11
00
10
01
01
01
00
10
00
00
11
00
10
10
01
10
01
10
00
00
10
10
00
00
10
10
00
01
00
01
10
10
10
01
00
10
10
00
10
10
00
01
10
00
10
11
11
10
00
00
10
10
10
10
00
10
11
10
10
10
10
10
00
00
11
11
11
01
00
00
00
01
10
11
01
00
00
11
00
01
10
11
01
10
11
00
10
00
10
10
01
11
00
10
10
10
00
00
01
00
00
10
11
00
01
10
00
00
11
11
11
10
10
10
01
11
10
10
10
10
00
01
10
00
10
10
10
00
01
01
00
01
01
00
10
10
10
10
10
01
00
10
11
10
10
01
00
01
00
00
11
01
01
00
01
11
10
00
11
00
01
10
10
10
01
10
10
10
00
11
00
11
11
00
11
00
10
00
10
10
01
10
11
01
11
00
11
10
01
00
10
00
11
01
00
10
10
10
11
00
01
01
11
10
11
11
00
00
00
10
11
10
01
11
00
00
11
01
01
10
10
00
01
11
11
11
00
01
10
10
01
10
00
00
10
10
00
01
11
11
01
10
01
01
10
10
10
01
00
00
00
10
10
00
01
10
00
00
00
11
01
11
01
11
10
10
00
01
00
11
00
10
10
10
10
11
01
10
10
01
00
01
00
00
11
00
10
00
10
10
10
00
01
10
10
00
11
00
00
01
11
00
10
01
00
00
10
01
10
10
00
01
11
11
11
01
10
10
10
01
11
01
00
10
10
00
11
00
00
10
10
00
01
10
01
01
00
00
11
00
00
11
10
10
11
10
10
10
01
00
00
10
11
11
01
00
10
00
00
00
10
11
00
01
00
01
10
00
10
00
11
10
01
00
10
00
00
11
10
10
11
01
00
10
10
00
11
00
00
01
10
10
01
11
11
00
10
10
01
10
00
00
11
00
00
01
10
11
01
11
01
10
11
10
11
00
10
10
00
00
10
11
00
00
10
00
10
11
00
10
00
00
00
00
10
00
10
00
10
10
11
11
01
11
11
00
10
11
00
10
11
00
10
00
11
01
00
11
00
01
10
10
11
00
00
00
10
00
01
10
10
11
00
10
00
01
00
00
01
10
11
10
01
00
00
11
10
10
00
10
10
10
01
00
00
10
00
10
01
01
11
10
00
00
00
10
00
00
11
10
01
00
00
10
00
10
10
01
11
01
00
10
10
00
01
10
11
00
00
00
11
00
10
10
01
10
00
01
00
11
00
00
10
00
10
11
01
00
00
00
10
10
11
10
01
11
10
00
00
11
00
00
10
10
11
00
10
00
10
01
00
00
11
01
11
10
01
00
00
01
00
00
11
10
00
01
11
10
10
11
00
10
00
01
10
10
11
00
10
10
00
10
01
00
00
10
10
10
10
11
00
11
10
10
10
10
01
01
00
10
10
01
11
00
00
00
10
10
10
10
00
01
00
10
10
11
10
11
10
10
10
10
10
00
00
10
10
00
10
01
00
11
01
00
00
01
10
00
10
10
10
00
10
10
00
01
11
00
10
10
10
11
10
10
01
00
10
01
11
00
10
10
10
10
10
11
00
00
01
10
00
10
00
00
01
00
00
11
00
01
00
10
01
10
11
11
01
00
10
10
00
11
11
10
00
01
10
10
01
00
11
10
10
11
11
00
00
00
10
00
10
11
00
10
01
11
00
10
00
00
11
00
00
10
11
10
00
00
01
10
11
01
10
10
01
10
10
10
00
11
10
00
11
01
00
00
00
10
00
10
11
00
01
10
10
00
11
11
10
00
00
11
10
10
10
01
11
00
01
00
00
01
10
11
10
10
11
10
10
00
01
10
01
00
11
01
01
10
01
00
11
01
01
11
01
01
10
10
01
10
10
11
01
00
10
10
10
10
00
11
00
10
10
01
11
00
10
00
01
00
10
10
10
00
00
00
10
11
10
10
00
01
00
01
11
11
10
11
00
11
10
00
10
10
10
10
00
00
10
00
10
00
00
10
00
00
10
11
00
10
01
01
10
00
00
10
01
00
00
10
10
10
01
01
11
11
10
00
00
01
10
01
00
10
01
00
00
10
10
00
00
00
10
10
10
00
11
10
10
10
11
10
10
10
00
00
10
10
10
00
10
01
11
00
00
10
00
00
00
10
10
01
00
10
10
00
10
11
10
01
00
01
00
01
00
11
00
00
00
10
00
11
10
10
00
10
00
11
10
00
10
10
00
00
00
10
00
01
00
11
00
10
10
01
01
10
10
00
10
10
10
00
11
10
00
11
10
10
00
10
11
01
10
11
00
00
11
00
10
00
10
11
11
00
00
11
01
10
00
10
11
10
01
00
10
11
11
00
00
01
10
00
10
00
01
10
01
10
11
11
00
10
10
01
11
00
10
01
00
10
11
00
01
01
00
11
10
01
10
10
01
00
11
10
11
10
10
11
11
01
00
10
10
00
00
00
00
10
11
01
10
10
10
01
11
11
00
10
10
10
10
10
01
01
01
11
00
01
00
00
11
11
00
00
00
11
00
01
10
10
00
00
00
00
11
10
11
00
10
10
10
10
10
00
00
00
00
10
00
01
10
10
10
00
10
00
11
10
11
01
01
01
11
10
00
10
11
00
11
10
00
10
01
10
10
00
01
10
11
00
00
10
11
10
00
00
10
01
00
10
10
00
01
10
10
10
10
00
01
01
10
10
00
00
00
01
01
00
00
11
10
11
10
01
00
00
10
00
00
11
10
00
01
10
10
01
11
00
10
01
10
11
00
00
00
01
00
10
00
10
11
10
01
00
00
10
00
11
10
00
01
10
00
10
01
10
10
01
01
11
11
01
10
01
11
10
01
01
10
11
11
01
10
10
00
11
10
00
10
10
01
01
01
00
11
00
10
10
00
11
11
00
01
10
10
11
01
11
00
00
11
11
01
10
00
11
10
00
00
00
11
00
10
00
00
00
00
11
10
00
10
10
10
10
10
10
01
10
00
00
11
10
01
10
01
00
11
01
00
11
10
00
00
11
01
11
01
00
00
01
10
01
10
11
00
11
00
10
10
00
11
10
00
01
10
11
10
00
01
01
10
10
00
00
00
00
01
11
00
01
01
11
00
10
11
10
00
00
11
10
00
00
01
10
00
11
00
10
10
01
11
10
10
01
01
10
01
11
10
00
10
01
00
11
10
00
01
00
11
10
00
00
11
10
00
11
00
10
10
00
10
10
01
01
10
11
00
01
10
11
00
00
10
10
00
00
10
00
00
10
10
00
01
01
11
00
01
11
11
10
11
10
00
11
10
01
00
01
11
00
10
10
10
00
00
10
00
01
10
00
00
11
00
11
10
00
01
10
10
10
11
00
11
11
10
11
11
01
01
10
00
00
00
10
11
00
01
00
11
00
00
10
11
10
00
10
11
00
10
11
00
11
00
11
00
01
10
10
10
00
10
11
10
00
00
00
11
01
10
11
10
00
00
11
01
00
01
10
10
01
00
00
10
10
01
00
10
11
10
10
11
10
00
10
10
00
10
10
10
11
11
10
00
00
10
11
01
10
01
10
11
00
00
10
00
10
10
00
00
10
00
10
01
00
01
10
10
01
11
10
11
01
10
11
11
00
11
00
00
10
00
10
00
01
01
00
10
01
10
10
11
01
11
01
10
00
11
10
11
10
01
01
01
10
00
11
10
10
10
00
10
11
00
00
11
00
11
10
00
11
10
00
00
00
01
00
10
11
11
10
01
10
00
00
10
10
10
10
01
00
10
01
10
00
00
10
10
01
00
01
00
10
00
00
00
10
10
00
00
00
10
00
10
00
10
11
00
11
00
00
01
00
10
11
11
01
10
10
11
00
00
10
10
10
00
00
00
01
10
00
10
01
01
10
00
01
11
00
01
01
10
10
00
10
01
10
10
00
10
10
10
00
10
11
10
10
10
00
00
11
00
11
10
10
00
10
01
10
10
00
10
11
10
00
11
01
00
11
10
00
01
00
10
10
01
00
10
11
10
11
10
01
10
01
01
10
10
00
00
10
01
01
00
00
11
10
10
11
00
00
10
10
01
00
00
10
10
11
00
10
00
10
11
10
10
01
10
00
00
10
10
10
00
00
00
10
10
10
01
00
00
01
10
11
00
00
00
11
10
00
10
10
10
10
00
00
11
10
00
00
00
10
10
10
11
00
00
00
00
10
00
01
00
11
00
01
11
00
00
00
10
11
00
10
11
01
00
01
00
10
11
00
00
00
10
10
01
11
00
00
10
00
00
10
11
00
00
10
00
11
10
10
10
00
11
10
10
00
01
10
10
01
00
10
10
01
11
11
10
00
10
10
00
10
10
00
10
10
00
00
10
01
11
10
00
00
01
00
10
00
00
10
00
01
10
10
10
00
00
00
00
10
00
00
00
00
10
10
10
10
10
10
11
01
01
10
10
00
01
00
01
10
00
00
11
00
00
00
10
00
10
00
00
00
10
01
00
00
10
01
00
11
00
10
10
00
10
00
01
01
10
00
11
10
10
01
11
00
00
11
10
01
10
10
00
00
10
11
01
01
00
11
10
11
10
10
11
01
00
10
10
01
00
00
11
01
11
11
00
10
11
00
01
00
10
11
01
01
01
01
10
00
00
10
11
00
00
10
01
00
10
10
11
00
00
10
00
10
10
00
10
10
00
01
11
10
10
00
00
00
00
01
00
10
00
11
01
00
11
11
10
01
00
10
01
10
01
01
10
11
11
01
11
10
10
00
00
11
01
01
01
10
00
00
00
10
11
10
00
00
00
11
10
01
00
11
11
00
10
00
00
01
00
11
10
00
11
00
10
10
00
00
00
00
00
10
01
10
00
11
10
00
10
10
11
01
00
11
00
10
11
01
00
00
10
10
00
11
00
11
00
11
10
01
10
11
01
10
10
00
00
00
00
11
11
10
11
11
00
00
01
00
01
01
10
00
00
00
10
00
10
10
00
00
10
10
01
11
01
11
01
01
00
00
10
11
00
01
10
10
10
10
11
01
00
10
11
01
11
11
10
00
00
10
10
10
00
00
00
00
00
00
00
11
01
00
10
10
10
00
01
10
00
11
01
00
01
10
10
10
01
00
00
11
10
00
00
10
01
00
01
11
11
01
10
11
00
01
10
01
01
10
10
11
00
01
01
10
00
00
10
01
10
10
10
11
10
00
10
10
10
10
00
00
01
01
11
11
10
00
10
10
01
00
10
10
10
11
11
00
11
10
00
00
10
01
11
10
00
10
10
01
01
11
11
11
10
10
10
01
10
11
00
00
10
10
00
10
01
00
00
10
00
01
00
10
10
00
10
10
10
10
10
10
10
00
00
00
10
10
10
00
00
11
10
01
10
00
00
01
10
11
01
01
00
10
10
10
10
11
11
00
10
00
00
00
00
00
11
00
00
01
11
01
01
11
00
10
10
10
01
00
11
00
01
10
01
01
00
11
10
00
00
11
00
10
00
01
10
00
00
10
01
00
01
10
10
00
11
10
00
10
00
00
10
00
11
00
00
00
00
10
01
10
11
10
00
01
11
01
01
11
01
00
00
01
11
10
00
01
10
10
00
00
00
01
10
11
00
01
10
01
11
10
11
01
01
01
01
10
10
10
00
00
00
10
10
10
10
00
01
00
10
11
11
11
10
00
11
11
00
01
00
10
01
10
10
01
01
00
10
00
00
01
00
00
10
01
11
11
01
00
00
11
01
11
11
10
10
01
00
10
00
00
10
11
10
10
00
01
00
01
11
10
00
01
10
01
00
11
10
00
10
00
00
11
10
00
00
11
11
00
00
00
10
00
10
00
00
00
10
00
00
01
11
00
10
10
11
11
11
10
10
00
01
00
00
01
11
00
10
10
00
10
10
01
10
00
01
00
00
11
00
00
10
11
00
01
10
11
10
00
10
10
00
01
10
00
00
10
00
10
11
01
01
00
00
01
10
11
01
11
11
01
00
10
11
00
00
11
00
00
00
10
10
10
11
00
00
10
00
01
00
10
00
10
11
11
11
10
00
00
01
01
01
10
10
00
10
10
01
00
10
00
01
01
00
10
10
01
00
10
10
00
01
11
10
00
00
00
11
10
01
00
10
00
10
10
00
00
10
10
00
10
10
00
00
10
10
11
00
01
01
10
01
00
11
11
11
10
00
10
11
01
10
10
00
00
01
00
11
00
10
10
10
10
00
10
10
10
00
00
10
01
00
00
11
00
00
11
11
11
01
00
10
10
01
01
00
10
10
01
00
00
11
11
00
00
01
11
10
01
01
11
00
00
01
10
00
01
00
10
00
11
10
10
00
00
11
10
00
00
11
01
00
11
10
11
11
10
01
10
10
00
00
00
01
10
01
10
00
10
10
10
10
11
11
00
00
00
10
10
11
00
01
10
10
00
11
10
00
01
10
00
00
10
10
10
11
11
10
00
00
00
10
01
00
10
00
10
10
00
00
00
10
10
10
00
10
01
10
01
11
01
01
10
10
00
00
11
01
00
10
10
11
00
01
11
10
01
00
10
10
00
00
10
01
01
10
10
00
10
10
01
01
10
00
00
00
00
00
10
10
01
10
10
00
00
10
00
10
10
11
00
01
10
01
00
01
11
00
11
10
01
10
01
00
01
10
10
00
00
01
10
00
10
00
01
00
01
11
00
10
10
01
10
11
00
11
10
11
01
11
00
00
10
00
00
11
00
10
11
00
11
10
01
00
00
10
10
11
00
11
10
00
01
10
11
00
10
11
00
00
00
10
01
00
00
10
00
00
00
00
10
11
00
10
10
00
00
10
00
10
01
10
01
10
11
11
01
00
11
01
01
10
00
10
10
11
00
11
10
00
01
10
01
11
00
00
00
10
10
11
01
00
10
11
00
10
11
10
11
00
01
01
10
10
00
01
10
00
00
10
11
11
00
01
01
00
10
00
00
11
10
01
01
11
00
01
11
10
00
00
00
00
10
10
00
00
10
01
00
11
10
01
00
00
00
11
11
01
00
10
00
00
10
10
10
00
00
10
01
10
00
00
10
11
11
00
10
10
00
10
00
00
00
00
11
01
11
10
00
10
10
10
11
00
00
10
01
01
10
00
10
00
11
11
00
01
00
00
01
01
00
10
10
00
10
11
10
00
10
10
10
10
00
10
11
00
00
00
10
01
11
10
00
00
10
00
01
01
00
10
10
10
00
01
00
10
00
01
01
01
10
01
11
11
00
10
10
10
00
01
10
10
00
11
00
11
01
10
10
10
11
11
11
00
00
10
10
10
00
10
11
00
11
10
01
10
10
11
10
11
01
01
11
11
10
11
10
10
00
01
00
10
10
00
10
10
00
10
10
01
00
01
00
11
10
00
00
10
00
10
11
00
00
10
10
00
01
10
10
00
01
00
01
11
01
00
11
10
10
10
00
00
10
00
00
10
10
00
00
00
00
10
10
01
01
10
00
00
10
00
10
10
00
10
11
10
00
00
00
10
00
01
00
00
10
01
10
10
00
01
10
11
01
10
00
10
01
00
10
11
10
01
01
10
00
10
01
00
11
10
10
10
11
11
10
00
00
01
10
01
01
00
11
01
11
11
10
01
00
01
00
11
10
00
00
10
10
10
00
00
01
00
11
00
10
10
01
01
10
10
00
01
00
10
00
10
10
01
10
10
01
10
10
01
11
01
10
00
11
00
00
00
10
10
11
11
00
10
00
00
00
01
11
11
10
10
11
00
00
11
00
00
01
10
11
00
10
10
11
00
01
10
10
11
00
01
11
00
01
00
01
11
11
10
11
00
10
00
00
11
00
10
11
01
00
10
10
01
11
00
10
10
11
01
00
10
00
00
00
01
11
11
01
10
11
10
01
10
11
01
11
00
00
00
10
00
00
10
10
00
00
00
10
00
00
10
11
11
00
00
00
00
10
10
00
00
00
10
00
01
00
10
10
10
01
10
10
11
10
10
01
10
10
10
00
00
00
00
10
01
01
10
10
10
00
10
00
10
10
11
00
00
01
01
00
01
00
11
10
01
10
00
00
10
01
00
00
00
11
10
01
10
01
00
11
01
10
10
00
10
11
01
10
00
11
00
10
01
01
00
00
10
11
10
00
11
01
00
11
11
10
00
10
11
11
00
01
10
00
00
10
11
00
00
10
00
10
10
00
10
11
00
10
10
00
10
11
11
00
11
10
00
00
00
11
10
11
00
00
10
00
11
11
00
01
11
01
00
00
00
11
10
00
11
11
00
00
10
11
00
00
00
01
11
00
10
00
00
00
00
11
11
00
00
00
11
01
01
10
00
01
10
00
10
10
00
00
10
10
10
00
10
11
00
10
00
00
10
00
11
10
00
01
00
10
10
11
01
00
10
00
11
10
01
10
10
00
01
10
10
00
00
11
10
01
11
11
00
01
00
00
10
11
01
10
01
01
01
10
11
00
00
00
10
10
10
11
01
00
10
10
00
00
10
00
11
10
00
00
00
10
00
11
01
01
11
10
11
01
00
00
01
10
11
00
01
00
01
00
10
10
00
00
10
11
00
10
11
00
00
10
10
10
10
01
11
01
00
10
11
00
11
00
00
10
10
01
11
10
11
11
11
00
10
01
01
10
11
10
01
00
01
00
10
00
10
10
00
00
00
11
10
11
00
00
10
00
00
10
10
00
01
00
11
00
00
00
10
00
00
00
00
00
00
10
10
10
10
00
00
11
10
00
00
10
10
00
00
00
10
00
11
10
10
00
10
10
10
01
11
11
10
01
00
11
01
00
00
10
11
10
00
11
10
00
00
01
00
01
10
00
00
11
10
00
00
10
11
00
10
10
11
00
01
01
00
00
01
10
11
01
11
11
10
11
00
10
00
01
00
10
11
00
00
00
10
10
11
10
00
01
00
10
11
10
10
10
00
01
00
01
11
10
10
10
10
00
00
10
10
11
00
10
01
00
10
10
01
01
10
01
00
11
10
11
11
00
01
10
10
10
10
01
00
00
10
00
10
01
00
00
00
10
10
00
11
00
10
11
11
10
00
10
10
00
00
01
10
10
10
00
01
10
10
00
00
01
10
00
00
10
11
10
10
11
11
11
01
10
00
01
10
00
00
10
10
00
11
10
00
00
10
10
11
01
10
01
10
01
10
10
01
00
01
10
10
00
10
11
11
10
10
01
11
00
01
11
00
10
10
00
00
10
11
01
00
11
01
00
10
10
10
10
01
10
01
00
11
10
10
01
10
00
00
00
11
10
00
10
01
01
00
00
11
01
01
10
11
00
00
00
10
00
01
10
11
10
01
00
10
00
00
10
10
01
00
11
01
10
00
01
01
10
01
01
10
00
01
00
11
01
00
10
00
10
10
11
11
10
00
01
10
11
01
00
01
01
00
10
10
10
11
00
10
10
00
00
10
11
00
01
10
01
10
01
00
10
01
01
10
00
00
11
00
00
10
00
01
00
10
10
11
00
10
01
10
01
10
01
00
10
10
00
00
11
00
10
10
00
11
00
00
10
00
10
00
01
10
11
10
00
10
00
11
00
00
11
11
11
11
10
00
11
11
00
00
00
11
11
00
00
10
00
01
10
11
10
00
10
11
10
10
10
00
00
00
00
01
11
11
00
10
10
10
01
11
10
00
00
01
00
00
00
10
00
11
00
10
00
01
10
10
00
10
11
11
10
10
10
11
01
10
11
11
10
11
01
10
00
00
10
10
00
00
01
10
10
00
11
01
01
10
01
11
11
01
01
10
10
10
00
00
11
10
00
00
11
10
00
10
00
10
10
01
00
00
00
00
00
00
00
11
11
00
00
10
00
01
11
11
00
11
10
01
10
00
10
10
10
00
01
00
00
10
10
00
10
11
10
01
11
10
01
00
00
11
10
01
00
11
10
10
11
10
11
00
00
11
10
00
01
10
11
00
01
10
11
11
10
00
00
00
11
10
00
01
00
10
10
11
00
00
01
10
01
10
11
00
00
01
10
00
10
10
00
00
11
00
00
10
10
00
10
00
00
00
10
11
11
00
10
00
00
10
00
00
00
10
10
00
00
00
10
00
10
01
00
01
00
10
10
00
10
10
11
00
00
00
11
10
11
00
10
10
10
01
00
01
10
10
00
10
01
00
00
10
01
00
10
01
00
11
10
11
10
11
10
10
01
01
00
00
00
11
10
11
01
00
10
00
01
11
01
01
11
11
00
11
00
10
10
00
00
00
00
11
00
11
10
10
00
01
10
10
01
01
00
11
11
11
00
10
10
10
10
01
00
11
11
00
00
01
10
10
11
01
00
00
00
10
11
00
10
10
11
00
10
10
10
00
01
11
01
00
10
11
10
00
00
01
10
11
00
10
10
00
10
11
11
00
00
10
01
00
00
01
01
11
00
10
10
10
00
10
00
00
10
10
10
00
10
00
01
00
00
01
00
10
10
00
01
10
10
01
00
10
10
10
01
00
11
00
01
10
10
10
00
10
00
01
11
10
10
10
00
00
11
00
01
10
10
01
11
00
00
00
10
11
00
01
10
10
10
10
10
01
00
10
10
10
00
11
11
11
01
11
11
11
00
10
11
01
00
01
10
10
01
01
10
01
10
00
00
11
10
00
01
11
00
00
10
10
10
10
00
11
00
10
01
11
11
00
11
10
00
00
10
00
00
10
10
00
00
10
10
01
00
10
10
00
01
01
00
10
01
10
10
00
00
10
01
10
10
01
00
00
00
11
00
00
00
00
00
10
11
10
01
10
10
10
00
10
01
10
01
00
11
00
00
11
10
00
00
10
11
10
01
10
10
01
01
10
00
10
10
10
00
00
00
01
10
10
11
11
11
00
11
10
00
10
00
00
10
01
00
10
01
00
01
10
00
00
10
01
00
00
01
00
11
00
10
10
10
10
11
10
10
00
01
10
10
01
01
00
01
11
10
11
01
01
00
10
11
00
10
10
00
10
11
10
10
00
00
10
10
00
00
11
00
01
11
00
01
10
00
01
00
10
00
00
10
00
00
00
00
00
00
10
10
11
00
00
10
00
00
11
00
11
00
10
11
10
00
01
00
10
10
11
10
01
00
01
00
00
00
11
11
00
00
00
10
11
10
10
00
10
11
00
00
01
10
00
01
10
11
00
01
10
01
11
00
00
00
00
10
00
00
10
00
00
10
10
00
01
11
10
10
00
10
10
10
00
01
00
10
10
01
00
10
11
00
11
00
10
11
00
00
11
10
00
10
01
10
01
10
10
00
00
10
10
00
11
11
10
11
11
11
10
01
00
01
00
10
10
00
11
10
00
00
01
11
00
11
01
10
10
00
10
10
11
00
00
00
11
10
11
00
01
00
11
00
00
10
10
10
00
01
10
01
11
00
01
11
10
10
00
00
00
01
00
00
11
01
10
10
10
00
01
00
01
11
00
00
10
00
00
00
01
11
01
11
00
01
10
01
11
10
10
00
00
01
01
10
10
01
00
00
00
00
10
01
00
11
10
01
00
10
10
10
01
01
10
01
01
00
10
10
01
00
00
10
10
10
10
10
10
11
10
11
10
01
10
10
11
01
01
11
00
00
00
10
00
10
11
00
01
10
00
11
00
11
00
00
11
01
00
10
11
01
10
10
01
01
11
10
11
10
00
00
10
10
00
00
10
10
01
01
11
01
00
10
00
10
10
10
01
10
00
11
10
01
10
00
11
00
01
11
11
10
10
00
00
10
10
00
01
10
10
01
11
11
10
10
10
01
00
00
01
10
10
00
00
01
11
01
11
10
00
00
00
01
11
10
00
01
11
10
00
00
00
10
10
01
11
01
00
10
01
00
00
10
10
00
01
10
11
00
01
10
01
00
10
00
00
00
11
10
00
10
11
10
10
00
01
10
10
00
01
10
01
10
10
10
00
00
01
00
10
00
10
11
11
10
11
10
00
00
10
10
01
00
11
01
01
10
10
01
10
11
00
00
10
00
00
10
01
00
10
11
00
00
00
00
11
10
00
00
01
10
00
01
00
11
10
11
10
11
00
00
11
11
00
00
01
11
00
00
10
10
00
01
00
10
01
00
10
10
00
00
01
10
10
10
00
10
10
11
01
10
10
11
00
10
01
11
10
11
01
10
01
00
11
01
01
11
00
01
10
01
00
10
11
10
10
01
11
10
10
01
00
00
10
10
11
10
00
00
11
10
00
10
10
00
01
01
10
10
00
01
01
00
10
01
10
10
10
11
10
10
00
01
00
10
01
00
00
10
11
10
01
10
01
01
00
00
10
00
10
10
01
11
10
11
10
00
10
10
11
01
11
10
01
00
11
10
01
00
11
10
01
10
11
01
10
10
01
10
00
10
10
00
00
11
10
00
00
00
11
01
11
00
01
10
11
00
00
10
00
00
10
10
11
01
10
10
00
00
11
01
01
10
10
10
00
10
10
10
00
01
11
10
01
00
00
00
10
00
00
00
10
11
10
01
10
10
00
10
00
11
10
11
00
10
00
10
10
00
00
10
10
00
10
10
10
00
00
10
11
01
10
10
10
10
11
00
00
10
11
00
10
10
00
10
11
01
11
10
01
00
10
11
11
00
01
10
10
10
01
00
01
00
00
00
10
11
11
00
01
00
01
11
00
10
00
01
11
10
11
00
10
00
11
11
00
00
11
11
01
00
00
10
10
10
11
00
11
00
10
00
10
11
00
00
01
11
11
00
10
01
11
11
10
01
01
10
10
01
01
10
10
01
11
10
00
01
10
10
00
10
10
10
11
00
00
01
00
01
10
00
01
10
01
00
11
10
11
10
01
00
10
10
01
10
00
00
10
10
11
10
10
00
01
00
00
10
00
01
10
00
00
00
10
11
01
10
10
00
11
00
01
01
00
01
11
11
00
00
10
10
00
01
00
10
10
10
11
10
11
00
11
10
10
01
00
10
10
01
11
00
01
00
00
00
11
10
01
00
01
00
11
11
10
01
01
11
10
00
01
11
10
00
01
10
10
00
00
00
01
10
10
00
00
00
10
10
00
11
00
10
10
11
00
11
10
00
01
10
11
00
00
11
10
10
11
11
00
10
10
01
10
10
00
11
10
00
00
00
00
01
00
11
10
00
10
00
00
10
10
00
00
10
11
11
01
01
01
10
10
00
00
01
10
10
10
10
10
01
11
11
11
11
00
01
10
01
00
00
10
11
11
10
00
01
01
10
01
10
00
00
10
11
00
10
10
00
01
00
10
01
00
01
00
11
10
10
10
10
01
01
00
10
10
01
01
10
00
10
10
01
11
00
00
00
10
00
01
10
11
01
00
01
10
10
00
00
11
10
10
00
00
00
11
00
00
10
10
10
00
10
00
00
11
00
10
10
00
01
00
01
10
10
00
01
11
10
01
00
10
10
10
00
00
01
10
10
10
10
00
00
01
11
10
01
00
01
10
10
01
00
01
10
01
00
11
10
10
00
01
00
11
00
10
00
10
10
01
10
10
11
10
00
10
00
10
10
00
10
11
01
00
00
11
01
10
01
00
10
10
11
00
01
01
10
10
10
00
10
10
00
00
11
10
01
11
10
10
00
00
10
11
01
00
00
11
00
11
10
00
10
00
10
00
01
10
00
00
00
11
01
10
10
10
00
11
11
00
00
11
10
10
11
01
10
11
00
00
01
00
00
00
10
10
00
00
10
01
01
01
00
00
00
10
11
11
10
01
00
11
00
11
01
00
01
11
00
01
01
10
10
11
01
01
01
01
11
01
10
10
10
00
10
00
10
10
10
10
00
10
10
00
00
00
11
11
00
10
10
00
10
11
00
00
10
10
00
00
00
10
10
00
01
11
10
00
00
00
10
11
00
00
11
10
11
00
01
10
01
01
00
01
10
00
10
01
10
00
00
11
00
10
10
00
11
01
00
11
00
00
01
10
00
00
00
11
11
01
10
10
00
00
10
10
00
10
11
01
01
10
10
01
10
10
00
10
10
00
00
00
00
00
10
10
00
10
10
10
01
01
01
11
00
10
11
11
10
00
00
10
01
00
11
10
11
01
10
00
00
00
11
10
01
00
11
11
01
10
00
00
11
11
10
01
00
11
00
00
10
11
00
00
10
10
10
10
10
00
00
11
10
00
10
10
11
01
10
01
10
10
00
00
00
10
10
00
10
00
00
11
00
10
10
01
00
00
00
10
00
01
01
11
00
01
01
00
01
11
11
00
00
10
00
00
10
00
01
00
10
00
00
10
00
10
10
00
00
11
11
11
11
10
00
00
10
10
10
11
00
00
10
00
11
10
01
00
01
01
01
10
01
10
11
01
00
10
10
00
10
10
00
01
00
10
10
11
11
01
00
00
00
00
01
00
11
10
10
10
10
00
11
10
00
00
11
11
11
00
11
00
00
00
00
00
10
10
01
01
10
00
00
10
11
00
10
10
10
01
00
10
01
11
00
01
11
10
00
10
10
01
00
10
11
01
10
01
00
11
00
10
01
10
10
00
01
01
11
01
00
10
10
01
11
00
00
10
10
01
11
01
01
01
10
01
10
10
00
01
11
10
10
00
11
10
11
10
01
11
10
01
00
00
01
00
00
00
00
10
01
10
11
10
00
10
10
10
11
10
00
10
00
00
00
00
00
00
01
01
01
10
10
11
00
10
11
00
00
01
10
11
10
10
01
10
11
11
01
00
10
10
10
00
10
00
00
00
00
00
01
11
11
11
00
10
10
00
10
11
00
11
01
00
01
00
00
10
11
00
10
01
10
11
00
11
10
11
01
10
00
10
00
01
00
01
10
11
00
00
10
11
10
00
10
10
01
00
01
10
11
00
10
00
10
00
01
00
00
10
11
10
10
00
10
11
01
01
01
00
11
10
11
01
00
10
10
00
00
00
10
00
10
01
00
10
01
00
01
00
10
01
10
11
10
01
00
00
11
10
10
01
10
11
11
01
00
01
10
10
10
00
01
11
10
00
10
10
11
11
00
10
11
11
01
10
10
01
00
00
10
10
00
10
10
11
00
11
00
10
01
10
00
00
00
11
00
10
10
11
00
00
00
11
11
01
10
11
10
00
01
10
00
00
00
10
10
10
00
00
10
00
10
10
10
10
10
10
00
01
11
00
00
10
10
01
10
10
10
00
00
11
10
11
10
00
10
01
01
10
11
00
11
10
00
01
10
01
00
11
01
11
00
01
00
10
11
00
11
10
01
00
10
10
00
11
10
11
00
10
00
00
00
00
11
10
00
00
00
00
10
10
10
10
00
10
00
00
00
11
10
01
10
01
11
10
01
00
10
11
10
01
00
01
11
10
11
10
00
00
00
01
01
11
10
01
10
00
11
11
10
00
00
10
10
00
00
11
00
00
01
10
00
01
01
00
01
10
10
10
10
10
00
00
01
01
10
00
11
10
10
01
10
11
10
00
00
10
10
00
01
11
01
00
01
10
01
01
00
10
11
10
11
00
01
10
00
10
10
11
01
11
01
01
00
11
00
00
00
00
11
10
00
10
10
10
00
10
01
01
01
11
10
01
00
11
10
11
00
10
01
11
10
00
00
10
10
00
01
10
00
00
10
00
01
10
10
11
00
01
10
00
01
10
01
00
10
10
11
11
01
11
00
10
11
00
00
11
00
01
00
10
00
00
10
11
10
00
00
01
00
11
00
00
00
11
10
01
10
10
00
01
00
11
10
01
00
10
01
10
10
00
10
01
00
01
01
11
10
00
00
10
00
00
00
11
11
01
00
01
10
11
10
10
10
01
10
10
01
00
10
00
00
10
11
10
11
01
00
11
10
01
00
01
10
00
10
00
11
10
01
00
11
00
11
10
10
10
01
00
11
10
10
00
00
11
10
01
00
10
11
00
10
00
01
10
01
01
11
10
00
11
11
01
01
11
10
00
01
10
11
11
00
00
01
10
00
00
10
11
00
10
10
10
00
00
00
01
10
00
00
10
10
00
11
10
10
00
11
10
10
01
01
11
11
00
11
11
10
00
01
00
11
10
11
00
01
10
00
11
11
10
01
00
10
00
00
00
00
10
10
10
11
01
00
00
10
10
11
01
00
10
00
01
01
10
10
00
10
11
00
00
10
10
01
10
00
11
10
01
10
00
01
11
01
00
01
10
10
01
11
01
00
00
10
00
00
00
10
10
10
00
01
01
00
11
01
10
11
00
10
10
01
00
11
11
00
00
10
00
00
01
10
10
10
01
10
01
00
00
10
10
00
00
00
11
00
10
10
00
01
10
00
00
10
10
11
10
01
11
00
00
10
00
00
00
00
00
10
11
10
11
10
00
01
00
10
00
01
00
10
10
10
10
10
10
01
00
01
11
10
01
00
11
10
11
00
01
10
10
10
01
01
11
10
01
10
10
10
10
10
01
01
00
01
10
11
00
11
10
00
10
11
11
01
01
10
00
01
11
11
01
00
01
10
10
01
00
10
11
10
10
00
00
00
01
11
00
10
11
00
00
10
10
00
00
00
10
00
11
10
10
00
11
10
01
10
11
00
01
01
10
00
01
10
10
10
01
00
10
10
11
01
01
00
11
10
00
00
00
01
10
10
10
10
10
00
10
01
00
11
00
10
00
10
11
10
10
00
01
00
01
10
11
01
10
10
00
11
00
11
00
01
10
11
01
01
10
01
10
11
00
01
00
10
11
00
01
10
10
00
10
10
00
01
10
10
00
10
00
10
11
00
01
01
10
00
01
11
01
11
10
00
00
11
10
10
10
00
00
10
00
00
10
11
10
11
11
10
00
00
10
10
10
00
00
00
10
01
00
00
01
00
11
11
00
11
00
01
10
10
00
00
00
10
11
10
11
10
00
00
00
00
11
11
00
01
00
00
10
10
11
10
00
01
10
01
00
10
00
10
10
00
10
11
00
00
10
10
00
11
11
01
01
11
00
01
00
01
01
11
11
00
00
11
11
10
11
00
10
10
00
10
01
10
11
00
10
11
10
11
10
11
01
10
00
10
00
01
10
10
01
00
11
10
11
10
11
00
01
11
10
00
00
10
11
00
00
11
10
00
00
10
10
11
10
10
10
00
00
01
11
00
00
10
10
10
00
10
10
11
11
00
10
01
10
00
11
10
10
10
00
01
01
10
10
10
00
01
10
00
00
10
00
00
00
10
00
01
10
01
10
10
01
10
00
01
11
10
10
01
00
00
01
00
00
10
00
10
00
00
10
10
11
00
10
10
10
10
00
10
00
11
10
00
10
01
10
01
10
11
10
01
01
00
11
00
00
10
00
00
11
10
01
00
01
11
10
00
00
00
11
01
10
00
10
10
10
10
00
00
10
10
00
10
10
10
10
00
11
10
10
00
01
01
00
00
11
10
01
11
10
00
01
10
00
01
10
10
00
00
11
11
00
11
10
00
10
01
00
00
10
11
01
10
01
10
10
01
01
00
01
10
11
00
01
10
00
00
10
10
10
00
11
01
00
11
00
01
11
01
00
10
10
01
10
00
00
10
00
00
10
01
10
01
00
11
00
01
10
01
10
10
00
10
00
00
10
00
01
10
10
00
10
00
00
10
10
01
00
11
10
01
10
01
11
10
10
01
10
10
01
00
10
10
00
01
00
10
00
00
00
10
11
00
10
11
11
00
11
01
00
10
10
00
10
01
01
00
00
10
11
00
01
00
01
01
10
10
11
00
10
10
01
11
00
00
11
11
10
00
00
10
11
11
00
00
10
10
10
10
11
11
10
10
10
00
00
10
10
01
01
10
01
00
10
10
01
00
00
10
10
10
11
11
00
00
00
10
10
01
00
00
11
10
11
11
10
01
00
00
10
10
01
11
10
01
00
01
10
01
10
11
00
11
10
00
00
01
10
10
11
01
01
00
10
11
10
00
11
11
10
11
00
00
01
01
00
11
10
10
10
00
01
01
10
01
00
00
10
00
11
10
10
01
00
00
00
10
10
10
00
01
11
00
00
10
00
00
00
10
01
00
00
10
11
00
11
00
00
11
01
10
11
10
00
00
01
11
00
00
10
10
10
00
00
10
10
00
01
10
01
01
11
11
11
11
00
01
10
00
00
11
11
10
11
00
01
00
11
00
01
01
00
01
10
01
00
11
10
11
11
11
10
01
10
01
10
10
00
01
00
11
01
11
00
00
00
00
10
01
00
10
10
00
00
10
00
00
10
10
10
11
00
10
10
00
00
10
00
01
10
11
10
00
01
10
10
00
01
10
11
00
00
00
10
10
00
11
11
10
10
10
00
00
01
01
11
11
01
01
11
10
00
00
11
10
01
00
11
00
00
10
10
00
00
11
01
00
10
00
11
11
10
00
00
10
10
11
00
10
11
11
10
01
10
00
00
00
10
10
00
00
10
01
00
00
10
10
01
00
10
10
10
00
11
10
00
10
10
00
01
00
11
10
01
00
00
00
00
10
10
00
00
10
00
10
11
01
10
00
00
00
10
10
11
10
00
10
10
10
00
10
01
00
01
00
00
01
00
00
11
10
00
10
11
00
10
00
00
10
10
00
10
00
00
01
01
01
10
00
10
10
00
01
11
10
00
11
10
10
10
00
10
01
01
00
00
10
00
00
01
10
10
11
11
01
00
01
10
00
11
10
01
01
10
11
10
00
10
11
00
01
10
10
00
10
11
10
10
01
10
11
11
00
00
01
00
10
10
00
11
11
10
10
01
10
10
01
10
10
10
00
01
10
11
10
10
01
11
00
01
00
11
10
10
11
10
01
10
10
01
00
11
10
11
00
10
11
00
00
10
00
10
10
01
00
01
11
01
10
00
00
00
01
10
00
10
00
00
01
10
11
10
01
00
00
00
01
00
11
00
00
00
10
10
10
10
00
11
00
00
10
10
00
00
10
01
11
10
11
00
10
00
10
10
11
01
01
11
00
01
01
01
11
00
00
01
10
00
00
10
10
00
10
00
01
00
11
10
01
10
10
00
10
10
00
01
11
10
01
01
11
10
10
00
00
00
10
10
01
00
10
00
00
10
10
11
00
11
00
10
01
11
10
11
11
00
00
10
10
00
10
10
00
00
10
00
00
10
10
00
00
01
11
01
00
00
10
00
00
10
11
00
10
11
10
10
00
00
11
10
00
00
00
10
00
01
10
01
00
00
10
11
11
00
10
10
00
00
00
00
10
11
10
00
00
00
10
10
10
00
10
11
00
00
01
11
00
00
11
10
00
00
00
00
11
00
10
10
00
10
10
10
01
00
00
00
11
11
10
10
00
10
10
01
11
00
01
01
00
00
11
10
10
10
01
00
10
10
10
01
10
11
00
00
00
11
00
10
11
00
10
00
00
01
00
11
11
10
01
11
00
00
00
10
11
01
00
00
10
11
10
01
10
00
10
10
00
10
10
10
00
00
01
11
00
11
00
11
00
00
10
01
10
10
10
10
11
11
01
01
10
00
00
11
00
01
10
10
01
00
11
00
10
10
01
01
00
01
11
00
10
00
01
01
11
01
10
10
10
00
01
10
10
01
10
11
00
01
00
11
10
11
10
00
00
00
11
10
00
10
11
00
10
00
10
11
00
10
00
01
10
10
11
01
10
00
00
11
10
11
10
10
10
11
00
00
00
00
10
00
00
01
10
01
00
11
10
10
00
10
10
00
00
10
11
10
01
00
10
00
00
00
10
10
10
00
00
10
10
10
11
11
11
01
10
01
10
00
11
00
01
10
10
10
00
01
00
11
10
11
11
11
10
11
00
00
10
01
01
01
00
11
00
00
00
10
10
00
01
01
00
10
11
11
10
01
00
01
11
10
10
00
01
10
00
00
01
00
10
10
11
11
10
00
10
10
00
10
00
00
01
11
01
00
01
01
10
10
10
00
10
10
00
01
01
10
10
10
10
11
11
10
00
00
11
11
10
00
10
11
00
01
00
10
10
10
00
01
10
10
00
10
00
11
00
00
01
11
00
10
10
00
00
10
10
10
00
00
11
00
10
01
01
00
00
10
11
10
00
10
01
00
10
10
01
10
01
10
10
00
00
10
01
10
10
01
00
01
10
00
00
00
11
11
00
01
10
00
11
11
10
11
10
10
00
10
00
11
01
00
11
01
11
10
00
01
01
10
10
00
00
01
10
11
01
01
10
00
00
00
10
10
10
10
00
11
01
10
10
10
00
11
11
00
00
10
00
01
00
00
10
10
10
10
01
00
00
10
10
10
11
00
00
00
00
00
10
11
01
00
01
10
11
10
00
10
10
10
00
01
11
10
11
00
00
10
10
01
10
10
01
10
00
00
11
00
01
11
10
10
00
01
00
00
11
10
00
00
01
00
00
00
10
10
01
10
00
01
10
10
01
00
10
10
10
01
11
00
11
00
10
11
10
10
10
00
00
00
10
00
10
10
00
10
00
00
10
00
11
10
00
11
11
01
00
10
00
11
01
11
10
01
00
10
00
10
11
00
10
10
10
00
11
11
00
11
00
11
10
11
10
00
10
10
10
00
10
11
00
01
01
00
11
00
10
11
00
01
00
00
10
11
01
11
00
11
01
00
01
00
00
00
10
10
00
01
00
11
11
00
01
00
01
00
11
10
10
10
00
00
10
10
01
10
10
10
00
10
10
10
11
10
10
01
11
10
11
00
00
00
10
10
00
00
11
00
01
00
01
10
10
01
00
00
10
10
10
00
10
00
00
10
11
10
10
10
01
10
11
01
11
01
01
01
10
00
01
00
11
10
10
00
10
00
10
11
00
10
00
10
00
00
11
11
11
01
10
10
00
00
00
10
11
10
11
00
10
10
10
10
00
00
01
10
11
10
00
00
10
10
10
10
00
01
10
00
01
11
11
00
01
01
10
01
00
10
11
01
01
10
00
01
10
01
00
00
10
10
00
01
10
00
00
00
01
10
10
00
11
01
00
10
10
10
00
01
00
00
11
11
10
01
11
11
11
10
00
10
10
00
00
10
10
11
11
10
01
10
00
00
10
00
01
11
11
10
00
10
00
10
01
01
11
00
00
00
10
10
10
10
01
11
00
10
10
10
00
11
10
00
00
10
00
00
01
00
00
01
11
10
10
10
00
11
10
01
11
00
11
11
01
11
10
10
10
10
01
01
01
11
00
00
00
10
10
00
10
10
10
00
10
11
10
00
00
11
00
00
10
11
11
00
01
00
01
10
00
10
10
11
00
00
11
00
01
10
00
00
01
10
00
10
10
11
01
00
10
10
10
10
10
01
01
10
10
10
00
11
10
00
00
10
10
10
01
10
00
00
10
00
01
10
00
10
10
00
10
11
00
10
10
11
10
01
01
10
11
11
10
00
00
10
10
00
01
00
00
01
10
01
01
01
11
00
00
11
01
00
10
11
10
10
00
01
10
11
00
01
01
01
11
10
00
01
10
10
00
00
11
00
01
01
10
10
00
00
11
00
00
10
10
01
01
10
01
00
00
11
10
00
01
10
10
10
10
10
10
00
10
00
00
01
10
11
10
10
10
00
10
10
10
00
11
10
01
00
00
10
00
00
00
11
11
00
10
11
00
01
00
10
01
01
11
10
00
00
00
00
11
00
10
10
01
11
01
00
10
00
10
11
00
11
10
10
00
00
11
10
00
01
00
01
10
01
10
10
10
00
11
11
00
11
10
10
00
00
00
11
10
00
01
10
00
11
00
11
10
11
00
00
01
00
01
10
10
00
00
11
00
01
10
10
11
00
10
10
01
00
11
10
00
00
10
01
11
01
01
10
11
00
00
00
00
10
11
00
00
01
11
10
00
10
01
10
00
01
10
01
01
10
11
01
00
10
00
00
10
00
00
01
10
00
00
10
10
00
10
01
10
11
00
00
00
00
11
11
01
01
00
00
10
00
10
00
00
10
01
00
11
10
00
10
10
00
00
10
10
10
01
00
01
11
10
11
11
00
01
00
01
00
01
11
01
10
10
01
01
10
10
11
01
00
01
00
00
10
00
00
10
10
11
10
00
00
01
10
10
00
00
11
10
00
01
10
11
00
11
10
10
00
00
10
10
11
00
00
10
00
01
10
00
11
10
00
01
11
01
10
10
00
11
10
00
10
10
10
00
00
10
11
00
11
10
10
10
00
10
10
01
01
01
10
01
00
01
10
10
10
00
11
10
00
10
00
00
00
00
10
00
01
01
10
00
01
11
11
01
10
10
01
10
00
00
01
10
01
00
01
00
00
10
00
10
10
00
11
10
00
11
10
10
01
01
00
01
00
00
01
11
11
11
01
00
01
01
11
10
00
01
10
10
10
11
00
00
11
10
10
10
11
00
11
11
01
00
11
10
10
10
00
10
10
00
00
00
00
10
00
01
11
00
00
11
00
10
00
11
10
10
10
00
00
00
10
10
11
00
00
01
10
10
00
01
10
10
11
00
00
00
10
00
00
10
10
10
10
01
10
01
10
10
01
10
10
10
00
00
01
11
10
00
10
11
11
01
01
10
11
10
10
00
00
10
01
10
11
00
00
10
10
00
00
10
11
00
10
00
01
01
00
11
10
00
00
00
10
10
01
10
11
00
11
01
10
01
10
00
00
01
10
11
01
00
10
10
01
10
00
00
01
10
10
00
01
10
11
10
00
00
10
11
10
00
00
01
00
00
00
11
11
00
11
10
00
10
00
00
10
11
11
01
01
00
00
11
01
01
01
10
10
10
01
11
10
00
10
10
00
11
00
01
10
11
00
00
11
01
01
00
10
10
00
00
01
01
10
10
01
10
00
10
10
11
01
00
00
11
01
10
00
10
01
00
10
00
00
10
11
11
01
00
00
11
00
10
00
00
11
00
01
11
10
01
00
10
01
00
10
10
10
00
01
10
01
00
01
00
10
11
01
10
10
00
00
10
10
00
11
10
11
01
00
00
11
10
11
00
00
10
00
10
10
11
00
01
10
11
00
10
00
10
01
01
11
10
11
10
11
11
01
11
10
00
11
00
10
01
00
11
00
10
10
10
00
10
11
00
00
10
10
00
00
10
11
10
00
10
00
10
00
00
11
11
10
01
00
11
11
10
00
01
11
11
00
00
01
00
11
10
10
00
10
10
10
11
00
11
00
01
00
10
10
01
10
10
01
00
01
10
11
10
10
10
00
00
11
00
00
00
00
10
11
00
10
11
00
11
11
01
00
00
10
00
11
00
00
11
01
10
11
01
00
10
00
00
10
01
01
11
01
00
01
11
00
10
00
01
10
11
01
00
10
00
11
10
00
00
10
11
10
01
01
11
01
11
11
11
10
00
00
10
00
00
10
10
01
00
10
11
10
01
10
10
11
10
10
00
00
11
11
10
00
01
00
00
10
10
11
00
00
00
11
00
00
11
01
11
10
00
00
11
10
10
10
01
00
00
10
10
00
00
11
10
10
00
10
10
00
00
00
10
10
00
01
00
00
01
00
11
11
10
10
10
00
00
11
10
01
00
01
00
01
01
01
00
11
10
01
01
10
01
10
10
01
01
10
10
10
11
00
00
10
00
00
10
11
00
10
10
00
10
00
10
10
11
00
01
00
00
01
10
10
10
01
00
01
10
10
00
00
11
10
01
00
00
00
01
00
00
00
10
11
10
10
10
10
00
10
00
00
01
00
01
01
10
10
10
11
11
10
00
10
10
10
00
00
11
00
00
10
11
10
00
00
00
10
11
00
11
10
11
01
11
10
00
00
10
10
10
01
10
00
01
10
00
00
10
10
11
10
01
10
10
10
11
10
00
11
00
00
11
00
10
01
00
11
00
01
10
10
00
00
00
10
00
01
10
00
01
10
10
01
01
11
01
10
00
01
00
00
01
10
10
10
01
00
00
01
10
00
10
10
10
10
10
01
00
11
11
10
11
10
00
00
11
10
11
00
00
00
00
01
10
10
11
01
11
10
01
11
10
00
10
00
00
10
10
01
11
11
10
00
00
01
00
00
11
11
10
10
00
00
10
11
00
10
10
01
01
10
10
00
01
10
10
01
00
10
00
00
10
10
10
10
00
10
00
10
01
00
11
10
11
11
10
10
01
10
10
01
00
10
01
00
11
00
00
01
00
11
10
00
10
11
00
01
01
10
00
00
01
10
10
10
00
11
10
10
01
00
10
10
10
00
10
10
00
10
10
10
00
00
10
11
00
10
10
01
01
01
11
10
10
10
10
00
01
10
10
00
00
11
10
01
10
10
10
00
10
10
01
00
11
01
10
10
10
00
11
10
00
10
00
11
11
10
01
10
11
10
10
10
00
00
10
11
10
11
11
11
00
10
10
11
01
10
10
00
11
10
11
00
00
11
10
10
01
10
10
00
10
00
01
10
10
11
10
01
01
10
00
01
10
10
11
00
00
10
01
10
01
00
00
00
11
00
00
00
10
10
00
10
10
11
11
11
00
00
00
10
11
10
00
01
00
11
00
10
00
01
10
10
10
00
00
01
01
10
10
00
01
01
00
10
11
00
00
10
01
00
11
01
11
11
01
10
00
00
10
01
10
10
00
00
10
10
10
11
00
01
10
11
11
01
10
01
10
10
00
00
00
10
10
01
01
00
11
10
11
10
11
00
11
01
00
11
01
00
11
01
00
00
00
11
00
10
11
01
10
10
11
01
00
00
10
10
11
01
11
10
10
00
01
01
00
00
11
11
00
00
11
00
10
11
01
10
10
11
10
10
01
00
00
11
10
01
00
10
00
00
10
00
11
10
10
00
10
00
11
10
01
11
00
11
00
10
10
10
00
01
10
11
00
11
00
01
01
10
11
00
10
00
00
10
00
10
10
00
10
10
11
00
01
00
10
01
01
10
00
10
10
11
01
00
10
01
10
10
00
01
10
10
00
00
10
00
10
11
00
10
01
00
00
01
10
11
10
00
00
00
00
01
10
10
11
00
10
00
00
10
00
10
10
00
01
01
10
01
10
00
00
00
10
11
00
01
00
10
00
11
10
00
00
00
00
00
11
10
10
00
01
10
10
11
10
10
11
10
00
01
00
10
10
10
00
00
10
00
10
10
01
00
10
00
10
01
10
00
01
11
01
10
11
01
11
10
00
10
01
10
10
11
00
10
10
11
10
01
10
10
00
11
00
00
00
01
10
00
10
00
00
11
01
11
01
00
01
11
00
00
10
10
01
00
11
10
00
11
10
00
10
01
00
00
00
11
00
10
01
11
10
00
10
10
00
01
00
10
00
11
00
00
10
10
10
11
10
10
00
00
00
10
00
11
00
10
00
01
00
10
11
00
10
10
00
00
00
00
10
11
10
10
00
00
01
00
00
01
01
00
10
10
11
01
00
11
10
10
00
00
01
11
00
00
10
10
00
01
10
11
10
00
01
11
01
10
11
00
01
10
11
00
01
01
10
10
00
10
11
00
00
10
11
00
00
01
10
10
00
00
10
11
01
00
10
10
10
10
10
00
10
00
00
10
10
10
00
10
01
01
11
00
01
10
10
11
00
00
11
10
00
00
10
10
11
00
00
10
00
00
00
00
10
00
10
10
11
11
00
10
10
11
00
11
00
00
10
11
11
00
00
11
10
00
00
11
11
01
00
10
11
01
10
00
00
00
10
01
10
01
00
10
00
00
10
10
00
00
01
00
11
01
10
00
00
10
01
00
10
10
00
11
01
00
10
11
00
10
00
10
11
10
01
00
10
10
10
10
11
01
00
10
00
10
00
00
00
00
00
00
10
10
10
01
10
00
10
10
00
10
10
10
10
00
00
00
00
10
00
01
10
10
10
11
10
11
01
01
00
11
00
00
10
00
10
11
10
11
10
01
00
10
10
00
00
10
10
00
01
00
01
00
00
01
11
00
01
10
10
10
01
10
10
00
11
00
00
10
10
00
00
01
00
10
11
10
00
11
00
01
00
11
01
01
10
00
00
11
00
00
10
11
00
11
01
00
11
10
00
01
10
11
01
10
00
10
11
11
00
00
10
00
00
00
10
10
11
01
11
10
10
01
11
00
10
00
11
01
00
10
00
10
00
01
00
10
10
11
10
11
00
10
01
01
10
00
10
00
10
00
00
10
10
00
10
01
10
11
00
01
11
11
01
01
10
10
10
00
00
11
11
11
10
10
00
10
10
01
01
00
01
00
00
00
10
10
01
00
11
10
01
00
01
00
11
00
00
11
10
00
10
10
00
10
01
10
01
00
10
00
10
10
10
01
00
01
10
00
10
00
00
00
10
11
01
01
10
10
00
10
10
11
10
01
10
00
10
00
10
00
00
10
00
10
01
11
00
00
00
00
10
01
10
01
11
00
00
10
10
00
00
10
00
11
10
10
10
01
10
10
00
11
10
00
10
01
00
10
10
11
00
10
11
01
11
10
10
00
10
10
11
01
00
01
11
00
00
10
00
10
00
00
01
00
01
01
10
01
01
00
10
10
00
00
10
10
01
11
00
00
01
11
01
10
11
00
00
00
00
10
11
00
01
11
00
10
00
10
10
00
01
10
00
11
00
01
11
00
00
01
11
11
11
00
00
01
00
11
00
01
10
01
11
11
10
01
11
01
00
10
00
00
01
11
10
01
01
00
00
01
00
11
01
11
10
10
00
00
11
01
01
11
00
01
10
10
10
01
01
11
00
01
10
00
10
00
00
10
00
00
00
10
11
11
11
11
01
10
11
11
11
00
00
10
10
01
01
00
00
01
11
01
01
00
00
01
10
10
11
11
00
01
01
10
00
00
00
10
11
01
11
00
01
10
10
11
11
00
01
11
10
00
10
11
00
00
10
10
00
00
10
10
11
00
01
01
00
11
11
01
01
00
10
10
00
00
00
11
10
10
01
10
10
00
00
01
01
10
10
10
00
10
00
00
11
10
10
11
10
10
10
00
01
01
00
11
10
11
00
10
11
00
00
00
10
10
00
11
10
11
00
01
00
10
10
00
11
00
00
10
01
00
10
00
01
00
10
01
01
00
10
01
10
11
11
10
11
00
01
10
00
01
01
00
10
00
00
00
10
11
10
01
11
00
00
10
10
00
00
10
10
00
00
10
01
00
00
00
10
10
10
10
00
00
01
00
11
10
00
10
00
00
00
00
11
10
00
10
01
00
10
00
10
10
00
11
10
00
00
10
10
00
10
11
00
11
10
10
10
10
00
00
01
11
10
00
01
00
01
11
10
00
00
10
00
00
11
11
00
01
00
00
11
00
00
10
10
00
00
01
01
01
11
11
10
10
10
10
01
01
11
01
00
10
00
10
00
00
10
00
01
11
00
00
00
11
11
11
10
11
00
00
10
10
00
00
10
11
01
01
01
00
00
01
10
10
11
00
10
00
00
00
00
00
01
10
10
10
00
10
00
00
11
10
10
10
10
01
10
01
00
10
11
11
00
01
00
11
10
00
00
10
00
00
00
10
01
00
00
10
11
11
10
11
10
10
00
10
00
10
00
00
10
11
10
11
10
01
00
10
11
01
10
10
00
01
00
10
10
01
01
11
10
11
00
10
00
00
10
10
10
01
00
00
10
11
11
01
00
00
00
10
10
00
00
11
11
00
10
10
01
00
10
10
01
11
10
10
00
00
10
00
01
10
11
00
11
01
10
00
00
11
00
00
10
10
01
00
01
11
00
10
10
00
01
10
10
00
11
10
10
00
01
10
11
10
00
10
11
00
01
10
10
00
00
10
10
01
00
11
11
10
00
10
10
00
00
10
00
10
11
11
11
00
10
11
01
00
11
10
00
01
00
11
00
10
10
11
10
10
00
00
01
00
01
01
00
01
01
10
10
00
10
11
10
00
10
11
00
00
00
01
00
10
10
00
11
11
10
00
00
01
10
10
10
10
10
01
00
11
01
01
11
11
00
00
11
11
01
01
01
10
10
00
11
01
00
11
11
10
00
10
00
10
11
10
01
00
10
10
01
10
10
00
10
10
01
10
11
00
10
11
00
00
01
00
11
00
00
10
01
10
00
10
10
10
10
00
00
01
01
11
11
01
11
11
01
00
01
10
10
00
10
10
00
10
00
10
10
01
00
10
10
01
10
01
10
01
11
01
01
00
00
10
11
00
11
10
00
00
10
00
01
10
10
10
10
01
11
01
01
10
10
00
10
11
11
01
01
10
10
00
00
11
10
01
00
10
10
10
11
01
00
11
10
01
10
10
11
00
01
11
01
11
11
10
10
10
00
10
10
01
00
11
10
00
11
10
00
00
10
01
10
10
00
10
11
00
00
11
00
00
00
10
00
00
00
00
10
01
11
00
01
00
10
00
00
10
00
10
10
10
00
00
00
10
00
00
01
01
11
11
00
00
10
11
11
11
00
00
01
11
10
01
10
10
10
00
10
10
00
00
10
00
01
01
11
11
01
00
00
11
10
00
00
10
10
10
01
00
10
01
01
01
10
00
10
00
01
10
10
00
00
10
11
11
00
00
00
01
10
10
11
00
11
10
00
00
10
11
10
10
00
01
00
01
10
10
00
00
00
00
10
00
10
00
00
10
00
01
10
10
10
10
00
00
11
10
10
00
00
11
10
00
01
11
10
00
00
00
01
10
00
00
00
11
11
11
10
00
00
00
10
10
00
10
00
00
10
00
00
10
00
00
00
10
11
00
10
11
10
00
01
10
00
01
00
11
01
01
10
00
11
11
10
00
00
11
10
01
00
10
00
01
00
11
10
01
00
11
11
01
01
10
01
01
00
10
11
00
01
10
10
11
00
10
00
00
10
00
10
00
01
01
10
10
00
10
00
00
10
10
00
11
01
10
10
10
00
00
10
00
10
01
01
11
11
11
00
10
00
10
11
00
00
10
00
00
11
00
01
00
01
10
00
01
00
01
11
01
01
10
11
11
00
00
10
10
11
11
10
00
01
01
11
01
00
10
01
00
11
00
10
11
10
01
00
00
10
10
00
01
11
10
11
00
01
00
01
10
11
10
00
10
01
10
11
00
00
10
11
00
00
11
10
10
00
11
11
00
10
01
10
01
10
00
00
11
10
10
00
11
11
10
10
11
10
01
10
00
01
10
11
10
00
01
10
01
01
10
10
11
00
10
00
00
10
11
11
00
10
10
00
00
01
00
10
10
01
11
10
00
10
11
00
01
11
10
00
11
10
00
00
10
00
01
00
10
00
00
10
00
10
10
11
01
11
00
11
11
00
10
10
10
00
00
01
00
10
01
01
10
10
11
11
11
00
10
11
11
01
00
00
10
00
10
10
01
00
01
10
10
00
10
00
11
10
00
01
00
10
00
00
11
00
01
00
00
10
10
00
00
10
10
00
11
10
10
00
10
10
00
10
10
00
00
11
10
00
10
10
11
10
01
00
00
10
00
00
00
00
10
10
00
11
11
01
00
00
10
00
00
11
00
10
01
10
10
10
00
10
00
00
00
10
01
11
10
11
00
01
00
00
01
10
10
10
00
11
10
00
00
01
11
00
10
11
10
01
10
10
00
00
10
00
01
00
01
11
00
10
11
00
00
10
11
10
00
01
11
01
11
10
10
00
11
00
10
10
00
10
01
11
10
10
10
00
10
10
10
00
01
10
01
10
00
00
00
10
10
00
10
00
10
01
00
00
10
10
00
00
00
00
00
11
10
01
10
10
01
10
01
01
10
10
00
01
00
11
01
10
11
01
10
10
10
00
00
00
11
11
11
11
01
10
10
10
00
00
10
10
01
10
00
00
10
10
00
11
00
00
11
01
11
00
11
11
00
01
10
10
00
00
10
10
00
10
00
10
00
10
10
00
00
00
10
11
10
00
01
00
10
01
00
01
10
01
01
10
01
10
10
11
10
01
10
00
00
10
10
00
10
10
10
00
11
10
00
11
00
11
11
00
01
00
00
00
10
11
00
10
11
10
01
01
10
10
00
00
10
10
11
01
10
00
10
11
11
00
00
01
00
11
00
11
11
10
11
10
10
00
00
11
10
10
11
10
10
10
01
00
10
00
01
10
00
00
10
00
10
00
10
00
10
00
01
10
10
00
10
10
00
11
10
10
10
10
10
01
10
10
00
00
00
11
01
00
00
00
01
00
00
11
11
00
00
10
10
00
01
01
00
00
10
11
01
10
10
00
00
10
00
01
00
10
01
10
10
01
10
10
00
00
00
11
01
01
11
11
00
00
01
11
10
01
01
11
10
00
11
10
01
01
11
10
00
01
00
10
00
01
10
10
00
01
10
10
10
10
00
10
10
11
10
01
00
10
00
01
11
11
10
01
00
00
10
11
00
01
01
10
00
01
00
00
00
10
00
00
10
00
10
11
10
00
01
10
00
00
00
10
10
01
10
11
10
10
00
01
00
00
10
01
10
01
01
11
01
00
01
10
11
01
00
00
10
01
01
11
11
00
00
10
10
00
10
10
00
10
11
10
11
10
00
00
10
00
10
10
00
00
10
10
10
00
01
01
01
10
11
01
10
00
10
10
00
00
10
11
00
00
10
10
10
00
11
11
10
01
10
11
10
00
10
10
00
11
00
00
11
10
00
10
01
00
00
10
00
00
11
10
00
00
11
00
00
01
11
10
01
11
10
10
11
01
00
00
10
10
11
11
11
00
01
00
00
10
01
00
01
10
00
11
00
01
10
10
00
00
01
11
11
01
01
00
10
01
11
00
01
10
10
00
11
10
00
00
01
00
00
11
01
00
11
01
11
00
01
00
10
00
00
10
11
00
11
00
00
10
00
10
00
00
10
10
11
00
00
10
10
10
10
01
10
00
00
00
00
00
01
11
11
10
10
01
01
11
00
00
10
10
00
00
10
11
11
01
11
11
01
10
00
10
00
00
01
00
10
11
11
00
11
10
01
00
11
10
10
11
01
00
10
10
01
10
11
11
10
01
00
00
01
01
10
00
00
10
00
10
00
01
00
00
00
00
00
10
10
10
01
10
01
00
10
10
01
01
10
01
00
10
00
01
01
10
10
11
11
10
11
00
01
00
01
00
00
10
10
11
10
00
00
01
10
00
10
10
11
00
10
01
11
11
01
01
10
10
01
01
10
00
01
10
10
00
10
10
01
01
00
00
00
00
10
10
10
11
00
01
10
01
00
10
10
00
10
10
01
00
00
11
10
10
10
00
01
01
10
10
01
00
00
10
01
11
10
01
00
11
01
01
10
00
01
10
01
00
00
10
10
00
11
00
00
00
00
00
10
10
11
00
01
10
00
01
10
10
10
10
01
00
11
00
00
00
01
10
11
10
00
10
00
11
00
00
10
10
10
01
10
00
00
00
10
11
01
00
00
10
10
00
01
11
11
10
00
00
10
10
01
11
10
00
00
00
10
00
00
10
10
00
01
00
10
10
10
00
00
10
11
10
00
00
01
00
10
10
00
10
10
10
10
00
11
11
00
00
00
10
01
00
00
10
01
11
11
01
11
01
10
00
01
10
10
00
00
10
11
10
00
00
00
10
10
10
00
00
10
10
10
11
00
00
11
00
11
00
10
10
10
10
00
00
11
10
01
10
01
11
11
11
01
01
01
00
10
10
11
01
00
11
10
00
10
10
01
10
10
00
11
10
01
10
10
10
10
11
00
11
10
00
00
01
11
01
00
01
10
10
01
00
00
01
00
11
00
10
10
00
10
00
10
10
01
01
10
00
00
11
00
01
00
01
00
11
10
01
10
10
10
01
11
10
00
11
01
00
00
00
00
10
11
01
01
10
10
00
10
10
10
01
00
11
10
00
00
00
00
10
11
00
11
10
10
01
11
10
01
10
10
01
00
00
11
00
00
11
10
01
10
10
00
00
10
01
00
10
10
10
00
01
10
10
11
00
10
00
00
00
10
10
01
01
01
01
10
11
10
10
00
11
11
00
01
10
11
11
11
01
01
10
10
11
10
01
00
10
01
01
00
10
00
10
11
00
00
10
01
00
00
00
01
11
10
10
10
10
11
01
01
10
00
00
10
01
11
00
00
11
11
00
00
10
00
10
01
00
01
01
10
11
00
10
00
10
11
01
00
11
00
11
01
11
00
00
11
10
00
00
10
10
11
11
01
01
11
00
11
10
11
01
00
01
11
11
01
10
10
10
00
01
10
01
00
00
00
11
01
00
01
10
00
00
10
10
01
00
10
10
00
11
00
10
10
00
00
00
11
10
10
10
00
10
01
10
00
11
01
00
10
00
01
10
10
01
10
10
01
10
11
10
10
11
00
11
00
11
11
00
10
10
11
01
00
01
00
11
10
01
10
01
00
10
11
01
11
10
01
10
00
01
10
11
00
10
10
00
10
00
11
11
00
10
10
11
00
10
00
10
10
11
11
00
00
11
00
11
00
00
10
01
11
11
00
00
00
10
11
00
00
00
11
10
10
00
11
10
10
10
10
01
00
00
00
10
00
00
00
10
01
11
01
01
10
10
00
10
10
00
00
10
01
00
10
01
10
01
00
11
10
11
01
10
11
00
10
00
10
10
00
01
10
11
10
00
00
01
00
10
10
01
10
10
11
00
10
10
00
11
10
10
00
00
10
00
10
00
01
10
11
11
10
11
10
01
11
01
00
10
11
01
11
11
00
10
11
01
00
11
11
00
01
01
01
11
11
00
11
00
01
00
10
10
11
00
00
00
11
00
01
10
01
00
10
00
00
10
11
10
01
00
11
10
00
00
00
01
10
00
00
00
01
01
00
10
10
11
01
10
10
00
10
01
00
10
10
01
00
01
00
00
01
00
10
10
00
11
11
01
11
10
00
10
11
01
00
10
11
10
11
00
10
10
00
00
10
11
11
11
00
10
00
00
01
10
10
00
11
00
10
01
00
00
01
00
10
11
01
01
10
10
00
00
10
10
10
01
01
10
10
10
10
00
01
10
11
00
01
10
01
00
01
00
10
00
01
11
01
01
11
00
10
10
11
00
01
10
11
00
10
00
00
00
10
01
01
11
10
00
10
00
00
10
10
00
00
10
11
00
10
00
00
00
00
10
10
01
00
01
00
11
00
10
10
01
01
11
11
00
01
10
00
10
10
10
00
00
11
11
11
10
11
00
00
10
00
00
10
11
10
10
10
10
00
00
10
00
10
11
11
00
00
10
00
10
00
00
10
01
11
01
10
11
10
10
10
10
01
00
01
10
10
10
10
00
10
00
10
00
10
10
00
10
11
00
01
11
01
00
11
10
00
11
10
01
01
10
00
01
10
01
00
11
00
11
11
11
01
10
00
00
10
11
10
00
10
00
00
00
11
10
10
00
00
10
00
11
01
10
11
10
10
10
00
00
00
00
00
11
10
10
10
11
11
00
01
00
01
10
00
00
10
10
00
00
10
01
00
01
00
11
00
10
00
00
10
10
00
00
00
00
10
10
10
00
00
01
10
11
01
01
10
00
00
10
00
01
00
10
10
01
11
11
10
00
10
11
11
10
10
00
10
01
10
10
00
00
00
10
10
00
00
11
10
11
00
00
11
10
10
00
11
11
00
00
00
01
10
00
11
10
00
10
00
00
11
10
01
00
00
10
00
11
10
10
00
00
11
10
11
10
10
10
01
10
01
00
11
01
10
00
00
10
10
00
01
10
10
00
00
11
10
00
10
01
00
01
00
11
01
01
00
10
11
01
10
10
00
01
11
10
00
01
10
11
01
00
10
10
10
00
01
00
01
11
00
11
10
00
00
10
00
00
00
11
11
11
00
00
00
00
10
11
10
00
00
10
10
00
11
11
00
00
10
00
10
00
01
11
10
00
01
10
10
00
01
10
01
10
10
00
00
11
10
10
01
10
00
10
00
11
11
10
00
00
10
00
10
00
00
00
11
10
10
10
00
00
00
11
00
10
10
01
11
00
10
10
10
00
10
00
00
00
10
00
10
00
00
00
01
01
00
00
10
01
00
11
10
01
00
10
00
10
10
00
01
10
00
10
11
00
11
01
00
10
10
10
01
10
10
01
10
10
01
01
00
11
10
01
00
10
11
00
00
00
00
01
11
00
10
00
00
00
11
10
10
10
00
11
11
11
00
10
10
00
10
10
00
11
00
00
11
10
10
10
11
10
00
00
01
00
11
01
00
10
00
00
10
00
00
10
11
00
00
00
00
11
10
10
01
00
01
10
10
11
10
10
00
10
10
10
10
00
10
11
01
01
10
10
10
00
11
01
00
11
10
01
10
00
01
10
11
01
01
11
10
00
00
11
00
01
10
11
00
10
00
00
00
10
01
01
10
00
00
01
00
00
10
10
01
00
10
00
00
01
10
10
10
01
11
11
00
10
00
00
00
01
11
11
11
00
11
00
10
10
01
00
00
10
11
00
11
00
01
10
00
11
10
00
00
00
10
01
00
00
11
01
10
10
10
00
11
10
00
11
10
00
00
00
10
01
00
10
10
00
10
00
00
00
00
00
10
10
10
00
11
11
11
01
10
00
00
00
10
10
10
01
11
00
00
01
00
10
10
01
11
00
00
10
00
10
11
01
00
01
11
00
10
00
00
10
10
01
10
10
11
00
00
00
00
10
00
10
00
00
11
10
00
10
00
10
00
01
01
01
11
01
01
00
00
10
10
00
01
11
11
11
00
00
11
11
10
00
00
11
11
11
00
00
00
10
01
01
10
10
10
00
10
00
00
01
10
11
00
10
01
01
00
11
11
01
11
01
10
00
10
10
11
00
00
10
10
11
10
00
00
00
10
10
10
10
00
00
00
00
00
10
00
00
00
00
00
00
11
00
00
10
10
01
01
01
00
00
00
01
00
10
11
10
00
11
00
00
11
00
10
10
11
00
01
00
01
10
01
10
10
00
00
01
11
10
01
01
01
10
11
11
10
10
10
01
01
11
01
11
01
00
00
00
01
11
11
01
00
00
01
10
10
10
10
00
11
01
01
10
11
01
10
10
00
00
10
11
00
10
10
00
11
10
10
00
00
00
00
11
00
00
11
00
01
00
00
11
11
10
11
10
01
00
00
00
00
10
11
11
11
11
10
00
10
01
00
10
11
00
10
01
01
00
10
10
11
10
00
10
01
01
10
00
10
11
00
00
10
10
00
00
00
00
10
00
00
10
11
00
00
10
01
10
00
00
01
10
01
10
11
10
11
10
11
10
01
11
11
01
00
00
01
01
11
11
00
10
10
10
11
00
01
10
10
00
00
11
10
01
00
00
11
11
10
10
00
00
00
10
00
01
11
10
10
10
00
00
01
00
00
00
00
01
10
11
10
10
01
11
11
00
10
11
10
01
01
11
10
00
00
00
00
11
10
00
10
00
10
10
11
00
00
00
11
11
01
01
01
11
10
10
00
10
10
10
01
11
10
01
11
11
00
00
10
11
01
10
00
01
10
10
00
00
11
11
10
10
01
01
10
10
10
00
10
10
00
01
01
11
00
00
10
10
00
00
11
11
01
00
11
10
01
11
00
11
00
01
11
00
01
11
00
01
11
10
00
00
00
00
00
10
10
10
01
00
10
01
10
10
11
00
11
01
00
00
00
10
00
10
10
00
01
01
00
11
11
00
11
00
11
00
00
10
10
01
01
00
00
01
00
00
11
00
10
10
10
10
10
00
11
00
11
00
10
10
01
11
01
01
10
01
10
00
10
10
00
01
11
00
10
10
00
11
00
01
11
10
10
00
10
00
01
10
00
11
00
01
10
01
00
11
00
10
00
00
00
11
01
01
10
10
10
11
11
01
10
10
00
10
11
11
10
01
01
00
11
01
11
10
01
00
10
10
00
11
00
00
11
10
01
11
10
01
10
10
00
10
10
00
00
10
01
00
11
00
00
10
10
10
10
10
00
10
10
00
00
10
00
00
00
10
01
11
11
00
10
11
00
00
11
01
00
10
10
11
10
00
01
11
11
10
00
00
10
00
00
00
10
10
01
01
10
10
00
11
10
00
00
11
00
00
10
11
10
10
00
00
11
10
00
01
01
11
11
00
11
10
00
01
00
10
01
01
10
00
11
01
01
10
00
10
00
00
00
11
10
11
00
01
10
00
11
01
01
11
00
10
11
11
10
00
00
10
00
00
10
01
00
01
10
10
00
11
00
01
00
11
00
00
00
11
11
00
00
10
11
00
00
11
11
00
11
10
01
11
10
11
10
10
01
01
11
01
00
10
10
00
11
10
01
00
11
10
01
10
11
10
01
01
11
11
01
00
10
00
10
11
00
10
10
10
00
00
00
11
00
00
10
01
00
11
01
00
10
00
00
11
10
01
00
01
00
00
10
10
10
01
10
00
10
01
00
10
00
11
00
10
11
10
01
10
10
00
11
01
10
10
00
00
10
10
11
10
00
10
10
00
00
11
10
00
11
00
01
01
10
10
10
11
00
01
00
11
01
00
01
01
11
10
10
00
00
01
10
11
00
00
00
00
00
11
00
11
00
00
10
00
00
10
10
01
11
00
10
10
00
11
00
01
10
01
10
10
00
00
00
10
10
11
00
01
01
01
00
10
10
00
10
11
10
00
01
11
10
11
10
10
00
10
10
11
10
11
11
00
00
00
10
10
10
00
11
00
00
11
00
10
10
01
10
10
00
10
11
10
00
00
00
01
00
00
10
10
10
10
10
01
00
10
10
11
10
11
01
00
00
01
11
00
10
10
10
01
01
01
11
10
00
00
11
11
00
01
10
00
01
10
00
10
10
00
10
00
10
10
00
00
10
10
00
10
01
00
10
10
01
01
11
00
10
10
10
00
01
11
00
11
11
10
00
00
10
01
10
10
01
01
01
00
10
01
10
11
10
00
00
01
00
11
10
00
10
11
10
01
00
11
11
00
00
10
00
00
01
10
01
10
01
00
00
10
01
00
10
11
10
10
11
01
10
00
00
01
10
10
00
00
11
11
00
00
01
10
10
11
00
10
11
00
01
10
10
10
00
00
00
00
00
01
11
00
11
01
01
10
11
01
11
10
10
10
10
00
01
10
11
00
01
10
11
10
10
11
00
00
01
00
01
10
00
11
11
01
11
11
10
01
00
10
10
01
00
00
00
11
10
10
01
11
10
10
00
00
11
10
01
10
01
10
10
10
10
10
00
10
11
11
11
01
00
10
00
10
11
00
01
10
10
01
10
10
00
00
10
11
01
00
00
10
01
00
00
10
10
11
00
00
00
00
11
10
00
00
00
11
00
10
10
11
00
11
00
10
10
10
00
10
01
10
00
01
01
11
10
01
10
01
00
10
10
00
00
11
01
00
10
10
10
01
00
11
00
01
00
11
10
00
01
10
11
00
00
10
10
00
00
11
10
11
00
01
10
01
01
10
00
11
11
00
10
10
00
00
10
10
10
00
10
00
00
11
10
00
01
00
01
00
01
10
00
11
01
10
11
01
11
01
10
10
11
10
00
00
10
11
11
00
01
00
00
00
10
00
00
01
11
11
00
10
01
10
11
01
10
11
00
00
10
00
01
10
10
00
10
11
00
10
11
00
00
00
00
10
11
10
00
00
00
10
10
00
10
10
00
00
10
00
10
10
10
01
11
10
00
00
10
01
00
11
00
01
10
01
10
11
10
00
10
10
00
01
10
10
01
00
10
10
01
00
00
10
00
10
11
10
01
00
10
10
10
11
01
00
10
11
10
00
11
00
10
10
00
10
00
10
10
01
10
11
11
10
00
00
10
11
00
00
11
11
00
00
00
10
01
10
00
00
01
10
11
01
10
00
10
00
00
10
00
10
00
00
11
00
10
10
00
00
00
10
10
10
00
00
01
00
00
00
00
00
10
11
01
00
10
10
00
00
00
00
11
10
11
01
11
11
00
00
00
11
01
10
11
00
11
00
00
10
00
10
10
00
00
00
01
10
01
00
10
10
10
10
10
11
00
10
10
10
01
11
01
11
01
10
10
10
00
11
11
01
00
10
10
00
01
01
00
10
11
00
10
10
01
00
10
10
10
00
00
10
01
11
00
11
10
10
10
01
00
11
00
00
00
11
00
01
01
10
10
00
00
10
11
01
10
00
00
11
01
00
00
00
11
00
00
10
10
10
10
01
00
10
10
00
00
01
10
01
11
00
00
10
10
00
00
11
01
00
00
01
10
11
00
00
11
11
00
00
01
10
00
11
10
01
11
10
11
10
00
10
11
00
01
00
10
10
11
10
00
11
11
11
01
01
11
01
10
01
01
11
00
01
11
11
01
00
10
01
01
00
01
10
10
00
00
10
11
11
01
00
11
10
01
10
11
10
01
00
10
00
10
10
10
01
00
11
00
00
00
00
00
10
10
11
01
00
10
01
11
11
00
01
00
10
00
00
10
11
11
11
01
00
10
00
10
01
01
10
10
10
00
10
00
00
10
10
10
00
00
11
00
11
11
10
00
00
00
10
00
00
00
00
01
10
10
01
00
10
00
10
10
01
10
11
00
00
00
11
00
11
11
00
00
11
10
00
10
10
01
00
10
00
01
10
10
11
00
11
10
10
00
11
10
11
01
00
10
10
00
10
11
11
00
01
11
10
01
11
00
01
10
10
00
10
10
01
00
01
10
11
01
01
11
10
00
01
10
10
01
00
11
00
00
00
11
00
01
10
11
00
01
00
01
11
11
11
10
10
01
00
10
01
01
01
11
10
01
10
00
00
01
11
10
11
01
10
00
00
10
11
10
00
10
00
00
10
11
01
00
10
10
11
10
00
10
11
00
00
00
10
10
10
11
10
00
00
00
00
10
00
11
00
00
11
11
00
10
00
10
00
11
00
01
11
00
00
11
00
11
10
10
00
10
10
01
00
10
10
01
10
00
00
00
01
10
01
10
10
01
10
11
10
00
00
10
11
10
11
00
00
10
10
10
01
00
10
10
10
01
11
10
00
00
10
10
10
10
00
00
00
00
11
00
10
10
01
11
10
00
11
01
01
00
01
10
10
10
00
00
10
10
00
10
00
01
10
00
00
10
11
00
00
00
10
00
01
10
01
11
10
11
01
10
11
01
01
00
00
10
11
00
10
00
00
10
00
10
11
01
00
00
11
10
00
10
00
10
00
00
00
10
10
00
00
00
00
11
00
10
01
10
10
01
00
10
00
01
11
11
00
11
11
10
10
00
01
00
00
10
11
11
10
01
10
00
01
00
11
10
01
00
01
00
11
11
01
11
11
00
10
00
00
11
10
00
00
10
00
10
11
11
11
00
10
01
00
00
00
00
11
10
01
00
00
10
10
11
10
00
00
01
11
11
01
01
11
10
00
00
01
10
10
10
00
10
10
10
00
11
00
11
10
01
01
01
11
00
00
10
10
00
01
10
11
10
01
00
11
00
10
10
00
00
00
01
00
01
10
01
10
11
00
01
10
10
01
00
10
11
00
11
10
10
10
00
00
00
01
11
00
10
10
11
00
01
10
00
01
00
01
10
00
10
00
11
10
00
00
01
11
10
00
11
10
00
00
00
00
00
00
00
10
10
10
10
00
00
10
00
11
00
00
10
11
00
00
00
00
01
00
11
10
10
00
10
00
10
01
01
10
11
10
10
00
00
11
10
00
00
11
11
10
00
00
10
01
00
10
00
00
10
10
00
11
00
01
10
01
10
11
00
01
00
01
00
11
10
01
10
01
00
10
10
01
00
10
10
10
10
10
10
00
10
11
10
00
11
01
00
01
11
10
01
10
00
00
00
10
11
10
01
01
10
11
00
00
10
00
00
10
10
00
01
00
00
11
10
00
00
01
00
11
00
10
11
00
11
11
00
00
10
00
00
00
10
01
11
11
10
11
10
10
10
10
00
00
01
10
11
10
00
00
10
10
00
00
00
01
10
00
00
10
10
11
10
00
01
00
10
10
00
00
11
01
01
00
00
00
11
10
11
00
00
11
11
00
01
00
10
00
10
11
01
10
10
10
00
00
10
10
10
11
00
01
10
01
01
00
10
10
00
00
00
01
10
10
00
01
11
00
10
00
10
10
00
00
10
10
00
00
11
10
10
00
00
01
00
01
10
11
00
10
10
10
11
00
11
11
00
11
10
00
11
10
00
01
11
10
11
00
00
00
00
00
10
11
10
01
11
01
00
10
01
10
10
00
10
10
10
00
10
00
00
11
01
01
10
00
11
11
10
01
10
10
10
00
00
00
10
00
11
01
01
10
10
10
10
01
11
00
11
11
01
10
01
10
00
10
10
01
01
11
10
01
01
10
01
10
11
00
11
00
10
00
01
00
00
11
10
10
01
11
11
00
00
11
10
01
10
00
00
00
00
10
10
00
01
10
10
00
00
10
10
00
10
11
01
11
11
11
11
11
00
00
00
10
00
00
10
10
00
00
00
00
10
11
00
11
10
00
01
10
00
10
10
01
10
00
10
10
00
10
00
00
10
10
10
00
01
00
00
10
00
11
11
01
11
10
10
10
10
00
00
10
11
01
01
11
00
11
01
00
10
10
01
10
10
10
10
00
00
10
10
01
01
10
10
10
00
01
11
11
00
01
10
01
10
10
00
00
00
00
10
10
01
10
11
11
10
01
10
00
10
10
01
11
10
00
10
00
10
00
00
00
10
00
00
00
10
00
00
11
00
10
11
00
10
10
00
00
01
10
00
10
00
01
10
11
01
10
00
00
10
10
10
00
11
00
01
00
01
10
00
00
00
11
10
11
10
00
01
10
00
00
00
00
11
10
00
01
10
10
01
00
11
10
00
10
00
00
10
10
00
01
01
11
11
10
10
01
11
01
01
11
10
10
00
10
10
10
10
00
00
00
11
01
00
00
00
01
11
00
10
01
01
11
00
11
00
00
00
11
10
00
01
00
10
00
11
10
00
10
11
00
00
10
00
01
00
00
10
10
11
00
00
10
00
00
01
11
00
11
00
10
10
00
10
00
00
10
01
10
00
00
00
00
00
00
10
00
10
10
00
11
10
11
10
11
00
00
10
10
00
00
00
10
00
11
11
11
10
11
11
00
00
10
11
00
00
00
10
10
10
10
01
10
11
11
01
00
00
01
11
11
01
10
11
11
01
01
11
11
01
00
00
00
11
11
00
00
11
10
10
00
10
10
00
00
10
01
00
00
00
00
00
10
10
10
11
00
00
10
00
01
01
10
10
00
10
00
10
10
00
01
10
11
10
10
10
00
10
11
11
00
10
00
10
10
10
11
00
11
00
00
10
01
10
10
00
10
11
00
01
11
10
00
00
10
00
00
10
11
00
11
10
10
10
00
11
01
00
10
11
00
11
00
01
00
11
01
10
10
00
11
11
11
00
10
00
10
00
00
10
11
01
00
11
00
00
00
01
00
10
10
10
01
10
11
01
10
00
10
01
00
01
10
11
00
10
11
00
01
01
11
10
10
00
00
11
11
00
00
00
00
01
10
11
10
00
10
00
00
01
01
11
11
00
01
10
00
00
10
10
00
10
10
00
11
10
10
01
01
00
10
10
01
00
11
00
00
11
10
00
10
01
00
11
10
00
10
11
00
00
11
11
10
00
01
10
01
00
11
11
10
10
00
00
00
00
10
01
01
01
00
10
11
10
01
10
00
00
10
00
00
10
11
00
10
00
00
10
01
11
00
00
10
10
10
10
10
10
00
01
01
11
10
01
00
01
11
00
11
01
00
11
11
00
11
01
01
00
00
11
10
00
00
00
10
10
10
00
00
10
01
00
01
10
11
01
01
01
11
01
00
10
10
10
00
10
01
00
00
10
11
01
00
10
00
11
00
10
10
00
11
11
11
01
10
10
11
01
10
00
00
11
10
00
00
10
00
00
00
10
00
10
10
01
10
00
10
00
00
10
00
10
00
00
11
11
00
01
00
10
01
00
00
10
11
11
10
10
11
00
00
01
10
11
10
00
01
00
01
01
10
01
10
10
01
00
00
11
00
00
00
10
01
10
10
01
01
00
00
11
10
10
10
01
00
10
01
11
10
00
00
10
01
00
10
00
00
00
00
00
11
01
00
11
11
11
00
10
10
11
01
01
10
11
00
10
11
00
01
11
10
00
11
11
11
01
01
10
11
01
00
01
11
01
00
00
10
10
00
00
00
11
00
00
00
10
01
10
10
11
00
01
10
10
10
00
01
10
01
00
00
00
10
10
00
00
10
10
01
01
01
11
10
00
01
10
00
01
11
10
00
00
10
10
10
00
00
11
00
10
00
10
10
01
00
10
11
10
11
01
10
00
10
10
10
10
00
01
10
10
00
11
00
10
10
00
00
00
10
01
10
10
01
10
00
10
11
10
00
10
10
10
10
01
11
10
00
10
00
10
11
01
01
11
11
11
10
01
01
00
11
10
01
00
01
00
01
00
11
00
11
11
01
10
10
00
00
10
01
01
10
00
10
11
10
01
01
01
00
10
01
10
00
00
00
10
01
01
11
10
00
11
10
10
10
01
00
10
11
00
00
10
00
00
11
00
01
01
00
00
00
10
10
00
10
10
00
01
01
00
01
10
01
01
10
10
01
00
10
01
01
01
00
00
00
10
10
11
10
01
11
10
00
11
00
10
00
01
10
00
00
00
10
10
10
00
11
00
10
10
10
11
00
00
10
01
01
11
10
11
00
10
00
10
00
01
01
10
10
11
10
00
10
01
01
10
10
10
00
00
01
00
00
10
00
00
11
10
00
10
11
00
01
00
10
00
11
10
11
10
01
10
10
00
11
01
01
10
10
10
11
00
01
01
10
10
11
01
00
00
10
11
01
10
00
01
01
11
11
10
00
11
00
00
10
11
01
01
01
11
00
01
10
10
00
01
10
11
00
00
11
10
11
10
10
01
10
00
10
10
00
00
01
10
11
10
10
11
10
10
00
00
11
01
01
01
01
11
11
10
00
11
10
10
00
01
11
00
00
11
00
01
11
00
10
01
00
01
00
10
11
10
00
10
00
00
10
10
00
00
10
11
10
11
00
00
01
10
10
10
10
00
00
00
10
01
00
01
00
10
10
00
01
11
10
01
01
10
00
00
11
00
10
10
01
00
11
10
10
00
01
00
00
10
11
00
10
00
00
01
10
00
10
01
00
00
00
10
00
10
11
10
10
01
11
11
00
10
01
01
00
00
10
11
01
00
11
01
01
10
11
11
00
00
10
00
01
10
11
00
10
10
10
00
00
11
10
10
01
00
00
10
01
10
01
10
01
10
00
10
00
00
10
11
01
00
10
10
10
11
00
10
00
10
01
10
10
01
00
10
10
10
10
10
00
00
01
11
10
10
10
01
11
10
00
11
11
00
10
00
00
00
10
00
11
10
01
10
10
11
11
11
01
10
10
00
00
01
11
11
01
00
00
00
11
10
00
00
11
00
01
00
01
00
11
10
01
01
10
01
01
11
11
11
10
11
10
00
00
11
01
00
11
10
00
00
01
01
11
10
01
10
10
10
10
10
10
00
00
10
10
11
10
00
10
10
11
10
00
10
10
00
01
10
10
01
00
11
00
10
11
00
01
10
00
01
10
00
00
10
10
00
10
10
10
01
00
01
11
10
01
10
11
00
00
10
10
00
00
10
00
01
10
00
10
10
10
10
10
11
10
00
01
01
00
01
01
10
10
00
01
01
00
11
11
00
10
10
00
10
11
00
10
10
00
00
00
10
00
01
00
01
10
00
00
11
10
10
00
00
10
00
11
10
00
10
00
10
00
00
10
10
00
00
10
10
00
11
10
00
10
01
00
01
01
00
01
10
10
00
00
10
10
10
01
00
10
10
10
11
10
10
00
00
01
10
10
01
10
01
10
11
00
10
11
11
11
10
10
00
00
11
00
01
11
10
00
01
00
10
10
10
10
11
01
00
00
10
10
10
00
00
00
10
01
00
01
10
10
00
01
10
10
01
01
10
01
11
11
10
00
00
11
10
00
11
11
10
01
00
01
00
10
10
01
01
10
10
10
00
10
11
00
10
00
00
10
10
11
00
00
11
11
01
10
01
10
00
11
00
11
10
10
10
01
10
00
10
10
00
00
01
00
00
00
01
10
10
00
11
10
00
10
01
01
00
00
00
10
11
00
01
10
11
01
11
01
10
10
10
10
00
10
10
00
10
00
10
00
10
10
00
11
00
00
11
11
10
00
00
00
10
10
00
10
10
00
00
00
00
00
10
00
10
01
00
10
10
11
00
11
10
00
11
01
00
11
01
11
10
00
11
00
00
01
00
11
00
00
10
11
10
10
01
11
00
00
10
01
10
00
11
10
10
00
10
10
01
01
01
01
00
11
11
11
00
11
11
00
10
10
00
00
01
00
00
10
10
10
00
00
00
10
00
01
01
10
11
11
10
00
00
10
10
01
10
01
00
00
00
10
00
00
10
00
11
01
00
10
11
11
10
00
00
00
10
00
00
11
10
10
00
01
10
01
00
10
01
00
00
11
01
00
00
00
00
10
00
01
00
10
11
11
10
11
10
10
10
10
00
00
11
11
00
00
10
10
10
01
00
01
10
11
01
00
00
01
11
10
10
00
00
10
11
10
01
01
00
00
11
01
01
10
10
11
01
00
00
11
11
10
00
01
00
01
00
11
10
00
00
10
10
00
00
10
10
00
00
00
10
01
11
10
01
00
11
01
10
11
10
01
01
00
00
10
11
00
10
00
10
10
10
10
01
01
01
01
00
11
10
00
01
10
11
00
01
11
01
00
11
01
01
00
00
11
10
10
01
01
00
00
10
10
01
00
10
10
00
00
01
00
00
00
10
00
10
10
11
00
00
10
01
00
10
10
10
11
00
11
11
11
00
10
10
01
00
11
10
00
01
00
01
11
01
01
11
01
01
10
11
01
00
00
10
10
00
10
11
00
00
10
01
10
10
00
10
11
00
00
00
10
11
00
00
10
11
11
10
00
00
00
01
10
11
10
01
10
00
10
00
11
10
10
00
01
10
10
10
00
10
10
01
11
10
11
00
00
00
00
10
00
11
10
11
00
10
10
01
10
11
00
00
11
10
00
01
10
10
11
11
00
10
01
00
01
00
10
11
10
01
10
11
00
00
11
01
00
10
00
00
00
10
10
11
00
00
10
11
10
00
10
10
11
01
00
10
11
00
00
10
00
00
11
10
11
11
10
00
00
00
00
10
00
00
10
00
01
10
10
00
11
10
10
00
00
10
10
00
10
10
01
00
00
11
10
10
10
10
00
00
11
11
00
00
00
10
10
10
00
10
10
10
00
11
10
01
00
00
00
10
10
11
01
00
10
00
00
10
00
00
01
11
10
00
00
11
10
11
10
00
01
11
10
00
01
11
00
00
00
00
11
10
10
10
10
00
10
00
01
00
10
11
00
00
10
10
10
01
10
11
01
00
10
00
10
10
01
01
01
00
00
10
11
11
10
10
00
00
00
01
10
01
00
10
10
00
01
00
10
10
10
11
01
10
00
10
10
01
10
10
00
11
01
10
10
00
10
10
00
10
00
11
10
01
00
00
10
00
00
01
10
01
11
00
01
01
00
00
10
00
10
11
11
00
01
10
10
11
01
01
01
01
11
00
01
10
11
00
00
10
00
00
11
00
11
00
00
10
10
00
10
00
00
00
00
11
11
10
10
00
11
01
00
10
10
11
10
10
00
01
11
00
00
11
10
01
00
11
00
10
00
00
10
10
10
00
10
10
01
10
01
00
00
11
00
01
00
10
00
11
10
10
10
00
11
11
10
01
11
10
01
00
00
01
10
10
10
10
00
00
00
00
11
10
10
00
00
10
10
11
00
11
10
10
00
01
11
00
01
10
00
11
11
00
01
11
11
10
11
01
01
10
00
00
10
11
00
00
10
11
00
10
10
00
11
00
00
10
01
00
00
10
01
01
10
10
00
10
00
01
11
11
00
01
00
10
10
10
11
00
10
10
01
00
10
10
01
10
11
10
01
00
01
01
10
01
00
10
10
10
10
00
01
01
00
11
00
00
10
10
00
00
00
11
00
10
11
10
00
01
10
00
01
10
10
10
00
10
10
00
00
00
10
00
10
01
10
10
00
00
11
11
11
01
10
00
10
01
00
00
10
11
00
00
10
10
00
00
00
11
11
10
10
11
00
00
00
10
10
00
01
00
00
10
00
10
00
10
10
01
01
10
00
00
11
00
01
00
10
00
00
11
10
00
00
11
10
10
00
00
11
00
11
11
00
10
00
01
10
00
01
01
10
11
10
01
00
01
10
10
00
11
00
01
11
00
00
00
10
11
10
00
00
00
00
10
01
10
10
01
01
11
00
00
00
10
01
00
10
00
00
10
11
11
01
11
11
10
01
10
11
00
01
10
10
00
01
11
00
00
01
00
00
00
10
10
00
00
10
00
10
10
10
00
10
10
00
00
10
11
00
11
11
01
00
10
00
11
10
01
00
10
11
00
00
10
10
00
00
01
10
10
00
00
00
01
10
10
10
10
11
00
01
00
11
10
01
00
10
00
01
00
10
01
00
00
11
10
11
10
10
10
00
10
01
10
01
11
10
00
00
01
10
10
11
11
00
00
01
00
01
10
11
01
10
11
01
01
10
01
01
10
10
00
00
11
10
10
00
01
00
11
11
01
01
10
01
10
10
00
11
10
00
10
10
01
00
00
11
00
00
10
00
00
00
00
00
11
00
10
10
10
10
11
10
11
00
10
00
00
11
00
01
10
11
00
11
10
00
10
10
10
11
00
00
10
00
00
01
00
10
00
11
11
00
00
10
00
10
00
00
00
10
00
11
00
10
10
11
10
00
10
00
10
11
11
00
00
01
10
11
10
01
11
10
00
01
10
10
10
01
00
10
10
01
11
10
00
11
01
01
10
11
00
00
00
10
10
10
00
01
00
10
10
00
11
10
00
00
00
01
00
11
00
10
10
00
10
00
10
10
00
11
00
00
01
00
10
01
11
10
10
00
00
00
00
10
10
00
01
00
11
01
01
10
11
10
01
01
11
11
00
01
11
11
00
01
10
11
01
00
00
10
10
00
11
11
00
11
11
00
01
11
01
00
00
01
11
10
00
00
10
10
00
11
00
01
00
10
00
01
10
10
00
00
10
00
00
10
10
00
01
11
10
10
00
00
10
00
00
11
10
00
11
11
10
10
00
11
10
01
10
11
10
01
10
00
10
10
10
00
10
00
00
00
00
00
01
11
11
01
10
00
00
00
10
11
00
00
11
11
00
00
10
10
00
10
00
10
11
11
11
11
11
10
01
01
00
10
00
00
00
11
10
11
00
01
11
10
00
00
00
10
01
01
11
10
10
01
00
00
00
10
10
00
10
10
00
11
11
10
10
10
00
00
11
01
01
11
01
01
10
00
10
10
10
01
10
00
01
10
11
11
00
01
00
00
10
10
00
11
10
00
01
10
10
11
10
10
00
00
10
10
10
10
01
10
01
11
10
11
10
11
00
00
10
10
00
10
11
00
00
11
01
11
11
01
10
00
10
10
11
00
10
00
00
10
00
10
01
00
00
00
01
00
01
10
10
10
01
00
01
10
00
01
10
10
10
00
10
01
00
01
01
10
00
00
01
11
10
10
10
01
01
10
01
11
01
10
10
11
00
00
11
10
00
00
10
10
10
00
00
00
00
11
00
11
10
00
00
00
10
10
10
00
00
01
01
11
11
00
00
01
10
00
00
11
10
11
10
00
10
10
00
00
10
10
00
11
00
11
10
00
00
11
00
11
01
00
10
11
00
00
00
11
10
10
00
10
10
01
00
10
01
10
11
01
01
01
10
00
00
00
11
10
00
11
10
00
00
00
10
11
00
11
00
10
10
10
00
01
00
01
00
00
00
10
00
00
11
10
10
11
10
01
10
01
00
10
10
01
00
10
00
01
00
01
11
11
10
00
10
10
01
00
00
00
10
11
10
10
00
00
10
11
00
10
10
10
10
00
00
10
11
00
00
01
11
00
01
01
00
10
00
11
11
00
01
00
11
10
00
00
00
00
10
10
01
00
10
00
00
10
00
00
10
00
00
10
10
10
00
00
10
00
11
01
01
00
10
11
00
00
11
00
10
10
11
01
11
11
00
00
00
11
10
11
01
00
10
11
10
01
10
00
10
00
10
10
00
01
01
11
10
01
10
01
10
00
11
11
00
01
10
11
10
00
01
10
00
00
10
11
01
00
00
10
00
00
00
10
10
10
00
10
10
10
10
00
01
11
11
00
11
10
10
00
00
10
10
00
00
00
10
01
01
10
01
11
10
10
00
10
00
00
11
01
10
01
01
10
10
11
00
11
11
00
00
00
00
10
01
00
01
11
10
11
00
00
11
00
00
11
00
01
10
11
10
00
10
10
00
00
00
11
10
00
01
11
01
00
00
10
11
11
10
00
00
00
10
00
11
10
00
10
10
01
10
10
01
11
11
01
01
00
10
10
11
01
00
11
11
00
00
00
00
00
10
10
01
00
11
00
10
11
00
10
00
00
11
00
10
00
00
10
01
00
01
10
01
00
11
10
10
10
01
00
10
10
00
00
11
10
01
11
01
10
10
01
10
11
01
11
10
10
01
01
10
00
00
00
00
00
10
10
10
00
01
11
10
00
00
00
10
00
00
10
10
10
00
10
01
11
10
11
10
11
10
10
01
00
11
10
10
11
01
10
00
11
10
00
11
00
00
01
11
11
01
01
00
10
00
01
10
01
00
11
10
01
10
10
11
00
01
00
01
11
01
10
01
01
11
00
10
01
00
00
10
10
00
00
00
10
10
10
01
00
11
10
01
01
00
10
00
10
10
10
00
00
01
10
00
00
01
00
10
10
11
10
01
00
11
11
00
00
01
00
11
00
00
10
00
00
00
00
10
10
10
01
00
11
10
11
10
10
10
00
11
10
00
10
01
10
00
10
10
10
00
01
11
00
01
10
10
01
01
10
00
10
10
11
01
01
01
10
10
00
10
11
10
01
00
01
10
01
10
10
01
00
10
10
01
00
10
00
00
01
00
10
10
01
10
00
11
11
00
11
10
01
10
00
10
11
10
11
10
00
01
01
00
11
10
11
10
00
00
01
00
11
00
00
00
00
00
10
00
00
00
10
10
00
11
00
11
00
01
00
01
00
10
10
00
10
00
10
11
10
10
10
01
00
11
10
00
00
11
10
00
10
11
11
00
11
00
00
10
01
01
11
00
11
00
10
11
00
00
10
10
01
00
00
10
00
00
11
10
11
00
01
00
01
01
01
00
00
11
10
01
01
00
10
10
01
00
10
11
00
00
11
00
00
00
00
00
11
10
00
11
10
01
00
00
11
11
11
01
01
10
00
10
10
00
01
00
10
10
11
11
11
00
11
11
01
11
00
11
00
11
10
00
00
10
10
00
11
10
00
01
10
10
10
10
00
00
01
10
00
00
00
00
01
10
11
00
00
00
11
01
00
01
10
10
00
01
11
10
10
00
10
10
00
01
01
11
10
10
10
00
01
11
10
10
00
00
10
10
10
00
01
00
01
10
10
10
01
10
11
10
00
10
00
10
10
11
00
00
10
10
10
11
10
11
11
00
11
00
10
01
00
10
11
00
00
00
11
00
10
00
00
00
01
10
10
10
10
00
11
10
00
11
00
00
00
10
00
00
10
10
10
00
10
11
00
00
01
11
01
10
01
10
00
00
10
11
00
01
10
10
10
10
01
00
10
10
00
00
10
00
01
11
00
00
00
00
00
10
11
11
11
00
10
10
00
11
11
11
00
10
00
00
11
10
10
01
11
00
11
01
00
10
10
00
10
01
00
10
10
00
11
10
10
00
01
10
00
00
00
00
10
10
10
00
11
00
11
00
01
01
11
10
01
00
10
01
01
10
10
00
00
00
00
00
10
10
00
10
00
00
10
10
10
00
01
01
01
10
01
00
00
00
11
10
10
10
11
01
00
01
01
00
01
00
10
11
00
01
00
11
10
00
11
00
10
10
00
01
00
10
01
00
10
10
10
00
00
11
01
10
00
01
00
10
00
11
11
01
10
00
00
00
11
10
00
00
11
01
10
00
11
01
01
00
00
11
11
00
01
10
00
11
00
10
10
11
00
00
11
11
10
10
11
11
11
00
00
10
00
00
11
10
01
00
10
11
10
01
01
00
10
00
10
10
01
11
00
10
11
01
00
01
10
10
00
00
10
00
10
01
10
00
00
00
10
10
00
10
00
00
10
11
00
00
00
00
00
00
10
11
11
10
01
10
10
10
01
00
10
00
01
01
10
01
10
00
00
11
00
00
10
11
10
00
11
00
10
11
00
01
10
00
10
10
00
11
00
01
10
11
01
11
01
01
00
10
00
11
00
01
10
01
01
10
10
10
10
11
10
00
10
10
10
00
10
00
00
00
11
11
10
00
10
10
00
10
10
00
11
00
10
10
00
01
11
01
11
10
00
10
00
01
11
11
00
01
00
11
10
10
00
10
00
11
01
10
00
10
10
10
00
00
11
10
10
10
10
01
10
00
10
10
01
00
10
10
10
01
00
01
00
00
11
00
10
11
01
00
00
01
10
10
01
10
01
10
10
00
10
11
00
10
00
10
00
00
10
00
10
11
11
00
10
00
00
11
01
10
10
01
00
10
00
00
00
00
11
10
10
00
11
10
10
00
00
11
10
00
01
11
00
10
10
11
10
01
10
11
11
00
01
11
10
01
10
10
00
01
00
00
01
00
10
00
10
10
10
10
01
01
10
10
11
10
11
11
10
00
10
11
00
01
11
10
00
00
00
10
00
11
00
11
10
00
00
00
11
11
11
10
10
00
10
01
00
10
10
10
00
00
10
10
01
00
10
01
01
11
01
11
00
01
00
10
10
10
01
10
10
01
00
01
11
00
01
00
00
11
01
10
10
00
00
10
11
01
10
00
00
00
10
11
01
00
00
10
10
01
01
10
10
10
01
01
00
11
10
00
10
01
00
11
11
10
10
00
00
10
11
00
11
00
00
11
01
11
10
00
01
00
00
10
10
01
01
00
10
00
00
10
10
00
00
00
00
00
01
10
11
00
01
10
10
10
10
01
00
10
10
01
01
01
00
00
01
00
00
10
00
01
01
10
01
01
11
11
00
00
00
11
00
00
10
11
00
00
00
10
01
11
01
00
10
11
10
10
10
10
01
00
11
11
01
01
01
00
01
01
01
10
10
00
00
11
10
01
11
11
10
11
00
10
10
11
11
11
00
01
00
01
00
00
10
00
10
00
01
10
01
10
11
10
01
10
01
00
11
10
00
10
11
11
01
11
10
10
00
10
01
10
10
00
10
11
00
00
10
00
01
00
10
10
00
10
11
00
00
11
11
00
00
10
11
00
10
01
00
10
10
01
11
01
00
00
10
11
10
11
01
00
10
10
10
00
01
00
11
00
00
00
10
01
10
10
11
01
00
10
00
00
11
10
10
10
10
11
10
00
00
00
10
00
01
11
11
01
11
10
11
11
01
01
01
10
10
11
00
10
00
01
10
01
00
00
11
10
00
01
00
10
10
10
00
00
01
01
10
10
00
00
00
01
01
10
11
00
10
11
01
01
01
00
10
00
10
11
01
00
00
10
01
00
10
01
10
10
00
01
10
00
10
10
00
10
00
10
10
00
00
11
11
11
11
10
01
00
11
01
00
11
11
01
00
10
10
00
00
00
01
10
10
00
01
10
01
01
11
00
01
01
00
11
10
10
00
00
10
11
00
00
01
10
10
01
00
01
10
10
01
10
01
01
11
00
11
00
10
10
00
00
11
11
10
10
00
10
01
01
00
11
00
00
10
00
10
11
01
01
00
10
10
11
11
00
00
11
00
00
00
10
10
00
10
01
10
01
00
00
10
00
01
11
10
00
00
10
10
10
01
00
10
11
00
10
00
00
11
10
11
10
11
01
10
11
00
11
10
00
01
00
10
00
11
10
00
10
10
10
00
00
10
01
10
00
11
11
00
10
00
01
00
01
10
11
01
10
00
01
10
10
10
00
01
00
10
11
10
10
00
00
11
00
00
11
01
01
11
01
01
00
10
00
10
11
11
01
00
00
00
01
01
10
11
10
00
00
01
01
10
01
00
10
00
00
00
10
10
10
11
01
11
00
01
01
00
00
10
10
11
10
00
01
01
10
11
11
00
01
01
10
10
10
11
10
11
00
10
01
10
10
01
00
10
10
00
10
11
00
00
01
01
10
01
00
00
10
01
11
11
00
00
10
00
00
10
10
11
00
00
00
00
00
10
10
00
10
00
11
11
01
00
10
10
10
10
11
00
01
10
11
01
11
10
00
10
10
10
11
10
01
00
01
01
00
10
10
10
00
01
10
00
00
00
11
00
11
11
10
00
10
10
00
10
11
10
11
00
01
00
00
00
10
10
01
00
11
10
10
11
00
01
11
11
01
01
10
10
00
11
11
00
01
10
11
00
00
10
11
10
01
10
00
11
01
00
00
00
10
10
10
10
11
00
00
00
01
10
00
10
01
10
10
11
00
00
10
00
11
10
10
10
10
10
10
10
10
01
10
10
00
11
10
11
10
00
11
10
10
01
00
01
10
00
01
00
11
10
01
10
10
10
10
00
00
01
10
00
00
11
01
00
11
10
11
01
00
10
10
01
00
01
11
10
00
01
10
00
01
10
01
01
11
11
00
00
10
10
01
00
11
00
11
01
00
01
01
10
00
00
10
00
10
10
00
01
10
10
10
10
00
00
11
11
01
00
11
00
00
00
10
11
01
10
10
10
00
10
01
01
11
10
00
10
10
00
01
00
10
01
10
01
01
10
11
00
11
10
11
01
01
10
11
10
01
10
10
10
11
00
01
01
11
10
00
00
10
01
10
01
00
11
00
01
11
10
00
00
10
10
11
11
00
01
01
01
10
11
00
00
10
10
10
01
00
10
01
00
00
10
11
00
10
10
00
01
00
10
10
01
00
00
10
00
10
10
00
10
10
00
00
10
10
11
11
11
11
10
00
01
00
00
10
10
00
10
10
00
11
00
00
00
00
11
10
01
00
11
01
10
10
00
10
10
10
00
01
00
00
01
10
00
11
11
10
00
00
11
01
00
10
01
00
01
11
11
01
10
11
01
10
10
11
00
01
00
10
00
01
10
10
10
01
01
00
00
10
10
01
10
00
10
10
00
11
00
10
01
00
00
01
10
10
00
10
10
11
01
00
01
10
00
10
01
10
10
11
01
01
10
00
00
10
11
01
10
00
00
10
11
01
10
10
00
00
01
00
00
00
01
00
01
10
10
10
00
00
10
11
00
10
10
10
11
00
01
10
00
00
10
00
10
10
00
10
10
00
00
00
00
10
10
10
11
00
00
00
10
10
10
10
00
01
10
10
00
11
00
00
00
10
11
11
10
00
10
11
10
00
10
00
10
01
11
10
00
10
00
00
10
10
00
01
11
01
00
10
10
10
11
00
01
11
00
01
11
00
00
01
10
11
10
01
00
01
11
10
01
11
10
01
00
11
10
10
00
00
10
10
11
00
10
01
01
00
00
11
00
10
00
11
00
00
00
01
10
00
00
10
10
01
00
10
01
00
00
00
01
10
11
00
00
10
11
01
00
11
10
10
00
00
10
00
01
10
01
10
01
00
11
00
00
01
10
11
01
01
11
00
00
11
11
00
10
10
00
00
00
10
00
10
00
00
00
10
01
10
10
10
00
00
10
10
00
10
10
10
11
00
11
01
01
00
00
10
11
10
11
10
00
00
11
00
11
10
01
00
10
10
01
00
10
00
00
11
10
00
10
01
11
11
01
01
01
10
10
00
11
00
00
10
01
11
10
10
10
00
10
00
11
10
11
00
10
00
10
10
10
01
00
01
00
00
10
11
10
10
10
00
00
11
00
00
00
00
01
10
11
10
10
00
01
11
10
10
10
01
10
10
00
00
11
10
10
11
10
00
00
10
11
00
01
10
00
10
10
11
01
10
10
01
00
10
10
10
10
01
00
01
11
11
01
00
10
10
00
00
01
00
11
00
11
01
10
01
10
01
01
01
10
10
01
01
10
01
00
11
10
00
10
11
01
00
01
10
00
00
00
10
10
00
11
10
00
01
01
01
11
10
00
10
00
11
11
11
01
10
00
00
10
00
00
11
10
00
00
00
01
11
01
10
10
01
10
00
10
01
11
10
10
00
00
10
00
11
00
00
10
00
11
10
11
10
00
00
01
10
10
11
00
00
01
00
11
00
00
10
11
10
01
10
11
00
00
01
11
10
00
10
00
10
11
10
10
00
01
00
11
00
01
10
10
00
10
00
00
10
10
00
11
10
00
00
10
10
01
01
00
00
11
00
00
11
00
00
01
10
10
00
11
10
11
00
01
10
00
00
10
11
01
01
01
10
11
00
01
11
00
00
10
01
00
10
11
01
01
10
00
00
00
10
11
11
00
00
10
00
00
01
10
10
10
00
00
10
00
00
11
00
01
11
01
10
10
10
10
00
00
11
00
10
00
11
00
11
10
01
01
10
11
10
10
10
01
00
10
10
00
10
11
11
10
11
10
00
10
10
00
00
10
11
10
00
10
00
00
10
01
00
11
11
00
00
01
01
10
11
00
01
00
01
11
10
00
00
10
11
00
01
10
00
00
10
11
01
10
00
01
11
10
11
01
01
00
00
10
10
10
00
10
10
10
00
10
00
00
10
10
10
00
00
11
10
00
10
11
00
00
00
00
11
00
10
01
10
10
00
10
00
01
11
00
01
10
11
11
11
10
00
10
10
01
10
00
01
10
11
11
00
11
00
00
11
11
00
10
11
00
00
01
10
11
00
10
10
10
00
00
01
10
11
01
10
00
00
01
10
00
01
10
10
00
10
00
00
01
00
10
00
10
00
00
11
00
00
11
00
00
11
10
01
00
00
10
11
00
00
11
10
11
10
00
01
11
10
10
10
01
00
10
00
10
10
00
10
00
11
00
10
10
00
10
10
00
10
10
00
00
10
10
10
10
01
10
01
10
10
00
00
10
01
00
11
00
00
10
10
11
00
00
10
10
00
00
10
11
00
11
10
11
10
11
01
11
01
00
10
10
00
00
11
00
01
11
10
10
00
10
10
10
10
11
00
11
00
00
10
00
10
11
11
00
01
01
10
01
00
11
10
00
01
10
01
01
11
11
10
10
00
11
10
11
00
10
10
11
00
00
01
11
01
00
01
10
00
01
10
00
01
11
11
10
01
01
00
11
00
00
11
10
01
11
10
10
00
10
11
10
01
01
11
01
10
11
10
10
00
10
01
00
00
10
10
00
00
11
10
10
00
11
10
10
00
00
00
10
10
00
10
01
00
10
00
10
10
00
00
01
10
10
00
00
00
10
00
10
10
00
00
01
01
00
11
00
01
00
01
10
11
00
01
01
10
10
00
00
10
10
00
11
11
00
00
10
11
00
00
10
11
00
01
01
11
10
01
11
00
11
10
01
10
11
00
10
10
01
00
10
00
00
01
10
00
01
10
10
01
01
10
10
00
10
00
10
10
01
10
00
10
11
00
11
00
10
10
10
11
11
00
01
01
10
10
10
00
00
01
10
10
00
10
00
00
00
11
00
11
10
00
00
10
11
00
00
11
01
10
00
01
00
10
10
00
00
10
10
01
00
10
10
10
10
01
10
10
00
10
00
10
00
10
00
00
01
00
01
01
01
10
10
00
10
01
00
10
11
01
01
01
11
10
00
11
10
10
00
00
11
10
00
01
11
11
10
10
01
00
10
11
00
00
00
10
10
00
00
11
11
00
11
10
00
00
10
00
10
00
10
00
01
10
00
01
10
10
10
01
00
11
10
10
00
01
10
10
10
01
11
00
00
10
10
00
00
10
00
00
10
10
10
10
11
10
00
00
11
10
00
00
10
11
00
11
10
00
00
10
11
00
00
10
00
00
10
00
00
10
11
10
10
00
01
00
01
00
11
10
11
10
00
10
10
10
00
10
10
10
00
01
01
00
10
00
10
00
01
01
10
00
00
00
00
11
10
11
11
00
11
00
01
10
00
00
10
11
00
00
11
00
00
10
10
00
10
00
10
00
10
11
00
10
00
00
10
10
11
00
10
11
00
00
00
10
00
01
10
10
11
10
10
11
10
01
00
10
00
10
11
11
10
01
00
11
00
11
01
11
10
00
10
10
10
01
00
11
10
11
11
10
01
01
01
10
01
10
01
00
10
00
00
00
10
10
00
00
10
10
10
10
11
00
01
10
11
00
11
00
00
00
10
01
00
10
10
00
10
11
10
00
00
00
00
10
00
11
11
10
00
00
00
00
10
00
00
01
10
10
10
01
10
01
00
11
00
00
01
00
10
01
01
11
10
11
11
10
01
00
10
11
00
00
01
00
00
11
10
10
10
11
11
00
01
11
10
00
00
00
00
10
10
11
10
01
01
10
00
11
00
01
00
01
11
10
10
10
01
01
01
10
10
00
00
00
00
10
10
00
00
10
10
10
00
00
00
00
10
10
00
10
01
00
10
00
10
00
01
11
10
00
00
11
01
00
10
01
01
11
11
00
00
10
00
10
01
10
11
10
10
01
10
00
01
10
11
11
00
11
01
00
01
10
11
01
00
10
00
11
00
00
11
11
10
00
10
00
00
00
00
00
10
11
00
11
00
00
10
11
00
10
00
00
01
00
00
10
10
11
10
00
01
11
11
00
00
10
11
10
00
00
11
00
00
11
00
11
11
10
01
10
00
00
00
10
01
10
10
10
00
01
11
11
10
00
00
01
10
00
00
01
00
10
10
01
10
10
01
10
11
01
10
00
01
10
01
10
11
00
00
10
11
10
00
00
00
10
10
10
00
10
10
11
00
11
10
01
00
10
00
11
11
00
11
10
10
10
10
10
00
00
00
00
11
01
00
10
00
11
00
11
11
10
10
11
10
10
01
01
10
11
10
11
11
00
00
10
10
00
10
10
00
10
10
00
00
01
00
11
11
00
00
01
10
11
11
00
01
01
10
10
10
00
01
00
11
00
01
10
00
10
01
10
11
00
00
10
10
10
00
10
11
00
10
01
10
00
00
00
01
00
11
10
00
10
01
10
10
00
01
10
01
11
10
00
11
00
01
10
11
10
01
00
10
01
00
00
10
10
10
11
10
00
11
00
11
10
11
00
10
10
00
10
10
00
00
10
00
11
01
10
10
10
10
01
00
01
00
11
00
10
01
11
11
01
00
10
10
00
00
11
10
01
00
11
00
00
00
10
10
01
00
10
10
00
00
11
11
00
01
11
10
00
10
00
00
10
11
10
01
11
00
00
01
11
01
00
10
11
10
01
10
10
00
10
10
10
00
10
10
00
00
10
00
00
11
10
01
10
10
00
00
00
10
10
00
10
10
00
10
10
00
00
00
01
01
01
10
10
01
10
01
10
00
10
11
00
10
10
11
00
11
10
00
10
00
01
11
11
00
10
00
11
00
10
01
00
11
10
11
10
10
00
10
00
00
00
11
00
01
10
10
11
01
00
00
01
11
10
10
00
00
11
00
10
11
11
00
00
10
11
11
00
00
01
01
00
10
00
11
00
11
10
11
00
01
10
00
10
10
01
01
10
01
10
01
00
11
10
00
10
10
11
10
01
01
00
10
10
10
10
00
10
10
10
00
10
00
01
00
10
10
11
00
10
10
00
00
11
10
00
00
10
10
10
01
00
00
00
11
10
01
10
11
01
01
00
11
11
10
10
01
00
10
10
01
10
01
10
00
11
00
00
10
00
00
01
00
10
11
00
10
10
10
11
00
00
10
11
11
00
00
00
01
10
01
00
10
01
10
11
10
11
00
00
11
01
00
10
10
00
00
10
11
10
01
01
00
01
10
11
00
00
10
00
10
10
11
00
11
00
00
00
10
10
00
10
11
10
10
10
10
01
00
00
10
10
01
10
01
00
10
10
11
11
10
00
00
00
11
10
00
00
10
11
00
01
11
01
00
00
00
11
00
01
11
10
00
10
10
00
11
00
01
00
10
10
01
00
10
00
11
11
00
11
01
00
10
10
10
01
00
10
10
01
10
10
10
10
11
00
00
00
01
10
10
00
10
10
01
00
00
10
00
00
00
10
00
00
11
01
10
10
10
01
10
00
00
00
11
00
00
11
10
10
00
10
00
10
10
01
00
11
00
10
01
11
10
00
10
01
01
00
00
10
10
00
01
10
10
11
10
10
00
00
10
00
11
10
10
00
10
10
00
10
01
01
10
11
11
11
00
11
10
01
01
11
10
00
01
01
00
10
00
00
00
01
01
10
10
00
11
10
01
01
11
10
00
10
00
11
10
00
11
01
00
01
10
00
00
11
10
11
00
11
00
11
10
00
00
01
10
10
10
00
00
10
01
11
10
00
10
00
11
00
10
11
00
11
10
01
10
00
10
00
10
10
01
00
10
00
01
10
11
11
00
00
10
00
10
10
00
10
00
10
10
01
00
10
00
10
10
10
00
00
01
11
10
10
00
10
00
01
00
11
00
11
10
00
00
10
11
01
11
10
11
10
00
11
11
10
00
11
00
00
10
00
10
00
10
11
10
10
10
00
01
10
10
10
00
10
10
11
00
00
00
01
10
00
10
11
10
11
00
00
10
01
10
11
11
00
00
10
00
01
00
10
00
10
11
10
00
00
01
10
01
11
10
01
10
00
10
10
00
10
11
11
00
00
10
00
10
10
01
00
11
01
00
01
01
10
01
10
11
11
00
00
00
00
10
11
00
11
00
01
10
00
00
01
10
10
10
00
00
11
01
01
10
01
10
01
11
10
10
00
00
11
10
00
00
00
10
11
00
01
00
00
00
01
00
00
11
00
10
10
11
00
01
11
10
00
10
01
10
00
00
10
00
10
00
01
10
01
10
10
01
11
11
10
10
00
10
00
01
10
10
11
10
00
01
11
01
10
00
10
10
11
00
00
11
10
00
11
01
00
11
00
11
10
11
01
00
00
10
00
10
11
00
00
11
10
11
00
00
00
01
10
01
00
11
11
11
11
11
10
01
00
00
10
11
00
00
10
01
10
10
00
10
10
11
01
00
00
11
10
01
00
01
00
00
00
10
01
10
10
01
00
10
10
10
11
10
00
00
00
11
00
01
01
10
01
01
10
10
11
10
10
01
01
11
01
01
10
00
00
10
10
01
00
10
10
10
00
10
00
00
11
01
11
10
00
10
10
00
00
10
11
00
10
00
01
01
10
10
00
00
00
10
01
10
01
10
10
00
10
01
10
00
00
01
10
11
11
11
10
00
10
10
01
00
01
01
11
10
11
11
11
01
00
01
00
10
10
10
00
00
11
10
10
00
00
00
10
10
10
11
10
00
00
10
00
10
01
11
10
01
10
01
11
10
10
00
10
11
00
01
01
01
10
01
10
10
00
11
10
00
01
11
11
11
10
01
00
01
00
10
00
00
10
11
00
01
10
10
11
01
11
00
00
10
10
01
00
11
10
00
11
00
01
11
10
00
10
00
01
00
10
10
10
00
10
01
01
10
11
10
11
10
10
00
10
10
01
00
10
01
10
00
00
01
10
00
00
10
01
10
01
10
10
00
10
11
00
11
10
01
00
00
10
01
10
10
10
11
10
00
00
01
01
00
11
10
10
00
11
00
00
11
10
10
00
10
10
01
10
00
01
00
10
11
00
11
10
10
00
01
10
10
10
00
10
10
11
10
11
00
01
00
10
10
00
01
00
00
01
00
11
00
10
10
10
00
00
10
10
10
01
11
00
00
01
00
00
10
00
11
10
00
10
00
00
10
11
00
00
11
10
00
00
00
10
10
11
10
10
01
00
10
00
11
10
11
00
11
00
00
00
11
00
00
11
10
11
10
01
00
00
11
10
11
00
00
10
11
01
01
00
10
11
00
00
00
10
10
11
01
00
11
00
01
01
10
01
00
11
10
10
10
11
11
00
01
00
01
10
10
01
11
00
01
10
10
11
00
00
00
00
11
00
00
10
00
00
00
11
00
11
11
00
11
00
11
10
11
00
00
10
10
01
10
00
00
11
11
10
01
00
00
00
00
10
11
11
01
10
10
01
10
10
10
01
00
01
00
00
10
10
11
00
00
10
00
10
00
01
10
00
00
10
11
00
01
00
11
00
10
10
10
10
10
10
00
00
10
01
10
00
01
00
10
11
10
11
10
01
00
11
00
00
10
00
00
10
00
01
10
10
10
00
10
00
00
10
10
11
00
01
10
10
10
00
01
00
01
10
01
01
00
11
11
01
11
10
01
00
11
10
10
00
11
00
00
10
11
10
10
10
00
11
10
11
01
00
10
11
00
00
11
10
10
10
00
00
00
01
00
00
00
10
00
10
11
00
00
11
10
10
00
10
10
10
00
01
10
10
01
01
11
10
00
00
00
10
00
11
10
10
00
10
10
11
00
00
00
11
11
00
00
10
10
00
10
00
00
00
11
01
11
01
00
10
01
11
10
00
00
10
10
01
00
00
10
01
00
10
00
11
00
10
11
01
11
01
00
10
01
01
00
10
10
10
01
10
00
00
00
00
10
10
00
00
10
01
10
10
10
01
00
10
10
01
10
01
11
10
00
00
01
00
10
10
11
01
00
10
00
10
00
00
01
01
00
00
10
10
01
10
11
00
10
00
10
11
11
11
00
00
10
00
00
01
01
11
11
00
00
10
00
10
11
00
10
11
01
01
00
10
11
10
00
01
00
10
10
00
00
11
10
01
00
11
10
00
11
00
00
10
10
10
10
00
01
00
01
10
11
10
10
11
00
01
10
00
00
00
10
01
00
11
00
00
10
11
00
00
10
10
01
01
00
00
11
11
01
01
10
00
10
00
10
10
00
00
00
01
11
11
00
00
01
11
00
01
10
10
00
00
11
10
01
00
10
11
00
10
10
10
01
00
10
10
10
01
11
10
00
00
10
11
00
00
10
00
10
00
00
10
11
00
00
11
11
01
01
11
00
11
00
01
11
10
00
01
10
11
10
00
11
10
11
01
10
10
10
01
10
10
00
00
10
00
01
10
10
00
01
10
01
11
10
01
01
10
00
00
10
11
00
00
00
00
10
10
10
11
10
10
10
10
00
00
10
00
11
11
00
10
11
00
00
10
11
01
00
10
01
10
01
11
10
00
10
01
10
10
10
11
00
00
01
00
11
11
00
01
01
10
10
00
00
11
10
00
00
00
10
10
00
11
10
00
01
10
11
10
00
00
10
10
10
11
01
10
00
10
00
10
01
00
00
11
10
10
00
01
00
00
00
11
11
00
10
00
00
10
00
00
11
11
10
00
01
11
00
10
11
10
00
01
00
10
11
01
00
10
10
01
10
01
00
10
01
00
00
10
00
10
10
00
00
10
01
11
00
00
00
01
11
01
11
10
00
00
10
00
00
10
10
00
00
00
10
01
10
10
11
00
00
10
10
00
10
00
00
10
00
00
10
11
01
01
01
00
10
10
11
10
00
01
00
10
00
00
11
11
01
01
11
10
01
01
10
11
00
00
00
00
11
11
01
11
10
01
00
01
01
00
10
10
01
00
01
11
00
10
00
01
10
00
00
11
11
00
11
10
10
00
11
00
00
10
10
00
00
11
10
01
10
10
00
11
10
01
00
10
00
00
00
00
10
00
01
01
00
11
00
00
11
10
10
00
01
11
11
10
00
00
10
10
00
10
00
00
01
00
10
01
10
10
01
00
11
10
00
00
10
10
00
11
10
10
01
10
10
10
00
01
10
11
10
10
11
10
00
10
00
01
10
11
10
11
00
00
00
00
10
01
00
11
01
10
11
00
00
11
00
01
10
00
00
01
10
10
01
00
10
00
01
11
10
00
01
10
10
11
00
11
10
10
01
10
11
00
10
10
11
01
00
00
10
01
01
11
10
00
01
10
10
01
10
10
00
11
00
10
01
00
10
01
01
00
10
00
10
00
00
10
00
01
10
10
10
00
11
01
01
00
11
11
00
00
10
10
10
10
00
01
01
00
10
10
00
10
01
00
10
00
10
00
00
01
10
11
10
10
00
00
00
11
11
01
01
11
11
00
01
11
10
11
00
00
11
10
00
01
00
11
00
00
01
11
10
00
00
10
00
00
00
10
11
00
11
10
10
10
10
00
00
00
10
10
00
10
10
10
10
00
10
00
11
00
10
01
10
10
10
10
01
11
01
01
10
00
00
10
10
01
00
10
10
10
01
01
10
00
00
10
11
11
01
10
01
00
01
00
01
01
10
10
00
00
10
10
10
10
00
10
10
10
10
00
11
11
00
10
10
11
01
00
10
01
01
10
01
10
00
00
11
00
11
00
11
00
01
10
11
11
01
10
11
11
01
10
00
01
10
10
00
00
11
00
10
11
00
00
11
00
00
01
01
11
00
11
10
10
10
11
10
01
01
10
11
01
10
01
01
10
11
10
01
00
00
00
00
10
10
00
00
10
10
10
00
10
11
10
10
10
00
10
11
10
00
10
10
01
10
11
01
10
00
00
10
11
01
00
00
00
10
10
11
01
11
00
10
00
01
01
10
10
01
00
11
11
10
00
01
10
01
10
10
10
01
10
00
01
10
11
00
00
10
01
00
01
11
10
10
11
10
00
10
10
10
01
00
11
00
11
10
00
10
11
00
01
01
11
11
00
11
01
10
10
10
00
00
10
00
11
00
00
00
10
10
10
00
00
10
10
11
10
10
10
11
01
10
10
00
10
11
00
00
11
11
00
10
10
01
00
10
11
11
10
00
10
11
00
10
10
00
00
01
01
00
11
11
01
00
00
00
00
10
10
10
00
00
01
11
00
00
01
10
10
01
01
10
00
10
11
00
10
01
00
00
00
10
10
10
01
00
00
10
10
10
00
00
01
00
10
10
00
10
10
01
00
10
00
11
11
00
00
10
11
00
11
10
10
10
11
11
01
00
10
00
01
11
00
00
10
10
11
10
00
01
11
10
10
00
11
01
01
10
00
00
10
00
00
01
11
00
00
00
11
01
11
10
00
10
10
11
00
01
10
10
10
00
00
00
10
10
10
00
00
00
00
10
10
00
01
10
10
00
00
01
10
00
01
11
01
11
10
00
10
10
10
11
00
10
10
00
10
10
01
00
11
10
00
11
10
10
10
10
00
01
10
00
00
10
11
00
10
10
00
00
10
01
10
01
00
10
10
00
01
11
01
00
00
11
00
01
00
11
10
11
11
01
00
01
00
11
11
00
10
00
11
10
10
01
00
01
00
00
11
10
00
00
01
01
10
10
10
00
10
00
10
10
01
00
11
00
01
10
11
11
00
00
10
10
00
11
11
11
10
01
00
00
00
00
11
00
10
10
00
10
10
00
00
10
10
00
01
00
10
00
01
11
10
00
10
10
01
00
10
01
10
01
00
11
00
00
00
11
01
00
10
11
00
10
01
01
10
00
10
10
10
10
11
00
10
10
00
10
10
11
00
10
01
01
00
10
00
01
10
00
10
10
00
00
01
10
00
01
10
00
00
10
01
00
10
10
01
00
11
10
11
00
00
10
11
00
00
10
00
10
11
11
01
00
00
00
10
00
01
11
10
01
10
00
10
01
11
10
00
01
10
10
10
11
10
10
10
00
01
10
11
00
11
00
00
01
10
10
01
11
11
01
10
11
01
01
10
00
01
10
01
01
11
01
10
00
00
11
10
00
10
10
00
11
00
00
10
10
11
00
11
10
00
10
11
10
01
00
11
11
00
10
00
00
10
00
01
10
00
11
11
10
11
01
10
11
00
00
01
10
11
00
00
10
11
01
00
00
10
10
10
01
00
00
11
10
01
10
10
00
11
10
10
00
00
00
00
00
10
01
00
11
01
00
01
00
00
00
11
10
10
00
00
01
10
00
11
00
10
10
00
00
11
10
00
00
11
10
00
01
10
00
10
01
10
00
00
11
00
01
10
11
10
11
00
10
10
01
01
01
10
11
10
01
00
01
10
10
00
00
10
10
00
10
01
00
11
11
01
00
10
10
00
10
10
00
00
11
00
00
00
11
10
01
11
10
00
11
10
11
10
01
00
10
10
01
00
11
11
00
00
11
11
10
11
00
00
00
10
00
00
10
11
00
11
11
01
10
10
10
01
00
01
11
10
00
01
10
10
10
00
00
00
00
10
10
00
00
10
10
10
00
11
10
00
10
01
00
10
10
11
01
10
11
00
00
00
11
10
01
10
00
10
10
10
11
00
01
10
00
01
01
11
10
00
10
11
00
00
10
10
00
01
00
10
00
00
10
10
10
00
00
01
10
10
00
01
00
10
10
01
00
00
10
10
00
00
00
10
00
11
00
00
00
10
10
01
00
11
01
10
10
10
00
00
00
11
11
00
10
00
01
11
10
01
11
10
10
01
10
10
10
00
00
00
01
00
10
01
11
10
10
11
00
01
10
00
10
10
10
01
11
10
10
10
01
10
10
01
00
01
11
00
10
11
00
10
11
00
00
00
11
00
10
00
11
10
00
10
11
10
10
11
00
00
01
01
10
00
10
10
10
01
00
11
00
00
00
00
00
11
00
00
00
11
00
10
00
10
10
10
00
00
10
10
10
10
00
10
00
10
00
01
10
10
00
00
10
01
00
00
10
00
01
10
10
00
01
10
10
00
00
11
11
10
10
00
01
01
00
11
01
00
10
11
10
01
00
10
11
00
00
00
00
10
10
00
11
10
10
00
00
10
11
10
00
01
10
11
11
01
00
00
10
10
00
00
01
10
10
10
10
00
01
10
10
00
11
00
11
11
00
11
10
10
10
01
00
10
10
00
01
10
01
00
11
01
10
00
10
10
11
00
00
11
10
01
10
00
00
11
01
11
11
00
00
01
10
11
00
10
00
01
10
00
00
00
10
10
11
10
00
01
00
00
01
00
10
00
00
00
11
11
10
10
00
01
10
11
00
01
10
01
00
01
10
01
10
10
01
00
10
10
01
00
00
10
10
01
00
11
10
00
10
10
11
11
10
00
00
10
10
01
10
11
11
11
01
01
10
00
11
10
10
00
00
11
00
00
00
10
00
11
11
00
00
11
11
01
11
10
10
10
00
00
00
10
10
01
10
01
11
00
10
01
11
11
00
00
10
00
01
01
00
10
11
10
10
01
00
00
10
00
01
00
10
10
00
10
10
00
10
10
00
00
01
00
10
01
11
11
10
01
10
10
11
10
01
00
00
00
10
10
00
10
10
00
00
00
10
00
11
00
11
00
01
00
00
01
10
00
00
11
10
01
01
10
10
00
10
11
11
00
00
11
10
10
01
00
10
11
00
10
11
00
11
00
00
10
11
10
11
10
10
10
10
00
00
01
11
00
00
01
10
01
00
10
10
00
00
00
10
11
11
10
10
11
01
01
10
11
00
11
10
00
01
11
11
00
01
00
10
00
10
10
00
10
10
00
00
10
10
10
00
00
10
00
10
11
10
00
00
01
00
00
10
01
00
11
11
11
01
10
11
10
00
01
10
01
00
11
11
01
11
11
00
00
10
10
00
10
00
00
00
11
00
00
10
10
00
01
11
00
10
00
01
00
00
11
10
11
01
00
00
10
11
10
00
00
00
10
00
01
10
00
10
01
10
10
00
11
00
10
10
00
00
10
10
10
11
00
10
01
00
11
11
10
11
11
01
01
00
11
00
01
10
00
10
00
00
10
10
10
00
00
01
01
11
10
11
10
11
10
00
00
11
10
11
00
00
01
01
00
01
00
11
10
00
00
01
00
11
10
00
01
11
10
00
00
11
10
00
10
11
00
00
10
00
10
11
10
00
00
10
11
00
11
10
00
00
10
11
10
01
10
01
01
00
00
11
00
00
10
11
01
10
10
10
10
00
10
01
00
10
00
10
00
01
10
11
00
00
10
00
01
00
11
10
11
10
11
00
00
10
11
10
10
01
00
01
10
00
00
00
00
11
00
10
11
01
11
10
01
10
00
11
00
10
11
11
00
01
11
01
10
10
00
11
10
00
10
11
11
00
10
10
11
10
10
00
10
10
00
10
00
11
01
00
00
00
10
10
01
01
11
00
00
00
10
11
10
10
00
10
11
00
10
01
10
11
10
00
10
00
01
01
00
10
10
00
11
00
10
00
10
10
10
10
01
10
10
00
10
00
00
10
11
00
10
10
11
00
10
01
00
00
01
10
01
11
11
10
11
00
00
00
01
01
10
00
00
10
10
00
10
11
11
00
10
11
00
00
10
10
10
00
11
01
10
01
00
00
10
01
10
11
00
01
10
01
10
01
00
10
00
11
00
00
11
00
10
00
00
10
11
11
00
10
00
11
11
01
11
10
00
00
11
00
01
10
10
11
11
01
00
01
11
00
01
10
10
00
00
10
01
10
10
00
00
00
10
10
00
11
10
00
10
10
01
11
01
00
00
10
00
00
00
10
10
00
00
00
10
00
01
10
01
10
00
10
00
10
10
01
01
00
11
10
00
00
01
10
01
00
10
11
00
00
10
11
01
00
10
00
11
10
00
11
01
01
01
11
10
10
11
00
10
10
00
01
10
00
10
01
01
11
00
10
00
01
10
11
11
00
00
01
01
10
10
01
00
00
00
00
10
11
10
11
11
00
10
11
11
11
11
00
01
01
11
10
10
10
01
01
00
10
00
10
00
00
01
10
01
11
10
00
01
01
10
10
00
10
10
10
01
00
10
11
10
11
01
00
10
11
00
01
10
10
01
11
11
00
00
10
10
11
11
00
00
10
11
00
00
01
10
11
00
11
00
10
10
11
00
00
10
10
01
00
10
11
10
01
00
01
11
10
00
00
10
10
00
00
10
00
10
10
00
11
00
00
11
00
01
00
10
10
00
00
01
00
10
00
10
00
10
10
00
11
10
00
11
00
10
01
01
00
10
00
10
00
10
10
10
01
10
10
11
10
01
01
00
00
10
10
11
11
00
10
10
10
00
11
00
01
00
11
01
00
10
00
01
10
11
00
11
10
00
00
00
11
10
11
01
01
10
00
00
10
10
00
00
10
00
00
10
10
10
00
10
00
00
10
11
01
10
01
10
10
00
00
11
00
00
11
00
01
11
11
11
10
00
00
00
10
00
01
10
01
01
11
11
00
11
01
00
00
10
01
10
01
00
10
10
00
10
10
10
01
11
00
10
01
11
01
11
10
00
11
11
00
00
00
11
00
01
10
11
00
11
10
00
11
01
10
10
00
00
11
00
10
01
11
00
00
00
00
10
10
11
10
10
10
01
10
00
00
00
00
11
10
01
01
11
01
10
11
10
10
00
11
00
00
10
10
00
10
00
00
10
01
10
10
10
00
00
00
10
10
01
10
10
01
11
00
01
01
00
10
01
10
10
00
01
10
01
00
10
00
01
01
10
11
10
11
00
10
01
11
00
01
10
10
10
11
00
01
11
10
10
10
00
00
01
11
10
00
11
11
01
10
10
10
00
10
10
11
00
00
10
10
00
11
11
10
00
10
11
11
01
00
00
10
01
10
01
10
01
00
00
10
11
01
01
10
11
10
01
00
11
10
01
10
00
00
10
11
10
00
00
11
11
00
11
00
10
10
10
10
00
10
10
10
10
11
00
01
00
10
10
10
10
00
10
10
01
11
00
11
00
00
10
01
01
00
11
11
11
10
00
01
00
11
10
10
00
00
00
10
11
01
10
11
01
00
01
00
11
10
11
10
00
00
00
01
11
10
01
00
11
10
00
00
10
10
00
10
11
00
01
10
00
00
00
10
11
01
01
10
01
01
11
01
11
11
00
10
10
00
00
10
01
00
01
10
00
10
01
10
01
10
11
00
00
00
10
10
10
01
01
00
10
10
10
01
10
01
00
11
10
11
10
10
01
01
11
10
01
00
00
10
11
00
01
10
10
00
01
01
11
01
01
00
00
11
11
01
01
11
10
11
10
00
00
10
10
01
00
10
10
01
10
11
00
00
01
10
11
00
11
00
01
10
11
10
00
00
00
01
00
11
11
01
00
10
01
10
01
01
10
11
10
00
00
11
10
10
01
00
01
01
10
10
10
00
00
10
10
00
10
00
00
10
00
10
00
11
10
01
11
10
00
10
01
10
01
01
10
10
10
00
10
10
01
10
01
00
00
10
10
10
11
01
00
10
00
00
10
00
01
10
10
00
10
01
11
11
01
10
10
10
01
10
11
00
01
00
11
01
00
00
11
00
00
10
11
11
10
00
11
00
01
01
11
00
10
00
00
00
00
10
10
11
10
10
10
11
00
10
11
00
00
00
10
00
10
00
10
11
00
00
10
01
11
11
10
01
00
10
10
00
00
10
10
10
01
00
10
10
10
10
00
10
01
10
00
10
10
01
00
11
10
00
00
01
01
00
00
00
00
11
00
11
10
01
01
10
00
10
10
00
10
01
01
00
10
10
10
00
10
11
10
10
10
10
00
00
10
00
00
10
00
00
10
00
00
01
10
00
10
01
11
01
11
11
11
10
00
00
01
10
10
10
00
01
01
11
00
01
11
10
00
11
00
00
10
10
00
11
00
10
00
10
00
00
11
00
00
00
11
10
10
11
00
00
11
00
00
01
00
10
01
00
11
00
01
10
00
11
10
00
00
01
10
10
00
01
01
00
11
10
01
00
10
10
00
01
10
01
01
00
00
11
00
00
00
11
01
11
11
11
11
00
01
00
00
10
11
01
00
11
10
01
01
00
11
11
10
00
00
11
10
10
01
10
01
10
00
01
11
10
10
10
10
00
00
10
00
11
10
11
00
00
10
00
00
10
10
01
00
00
11
10
11
11
10
01
10
10
11
11
10
00
11
10
01
00
10
00
11
00
00
10
10
01
10
00
00
10
10
00
00
10
00
01
10
10
10
10
00
00
10
01
10
10
10
10
01
11
01
11
10
00
10
10
10
10
11
00
00
11
11
01
00
00
00
00
01
00
10
10
01
00
00
01
10
10
01
00
01
00
10
10
00
00
10
10
00
00
10
10
10
01
10
11
11
11
01
00
01
10
01
00
11
00
00
11
11
10
11
10
01
00
10
00
10
10
01
00
10
10
10
10
01
00
11
01
10
10
11
10
01
00
10
10
11
11
00
01
11
01
10
10
11
10
01
00
10
10
00
11
01
10
10
10
00
10
10
11
10
00
00
11
10
01
00
01
10
10
00
10
01
00
11
11
10
01
11
01
00
00
11
11
10
10
11
01
01
10
10
00
10
00
01
00
10
10
11
10
10
00
00
00
01
00
11
00
01
10
00
10
11
01
00
00
11
10
00
00
01
10
11
00
00
00
00
10
10
00
00
00
10
10
00
00
11
00
00
10
00
10
00
10
11
10
11
01
10
00
11
11
10
00
00
00
00
10
10
11
11
10
00
10
00
11
11
00
00
00
10
01
01
10
10
10
10
00
01
10
00
11
10
00
10
01
10
11
01
10
00
10
01
10
00
00
01
10
11
00
10
10
01
01
00
10
10
00
10
10
10
01
10
01
11
10
00
10
00
10
11
00
00
10
10
10
01
10
00
10
10
01
00
01
00
00
10
10
01
00
10
10
10
10
01
11
10
11
10
10
11
00
01
11
00
10
10
00
10
10
10
00
01
11
00
01
10
00
10
10
10
00
00
11
00
00
01
11
10
10
00
00
10
10
11
01
00
11
10
10
01
11
00
00
10
10
01
00
10
10
00
00
10
01
00
11
10
00
00
01
10
00
00
10
00
00
00
00
01
01
01
10
10
00
01
11
10
00
00
10
10
00
10
11
11
11
00
00
10
01
10
10
00
10
00
10
00
10
01
10
11
10
10
01
10
00
10
01
00
11
00
10
10
00
01
11
11
00
10
00
10
00
10
10
01
00
10
00
00
10
11
00
01
00
01
11
10
10
00
10
10
00
01
00
10
10
00
00
01
11
01
10
00
00
00
00
00
10
11
11
00
00
10
01
00
00
00
11
00
01
11
00
10
10
10
11
00
00
10
00
00
00
00
11
00
01
00
00
11
10
11
11
10
01
00
10
10
00
00
10
10
00
00
10
01
11
10
01
11
00
00
00
11
10
00
01
00
00
11
00
01
11
10
10
11
01
10
10
01
01
11
01
11
10
01
10
01
11
10
00
00
01
10
11
10
11
01
11
00
01
00
10
10
00
00
11
10
01
11
10
10
11
00
11
10
01
01
01
10
00
10
10
11
00
00
10
00
10
01
00
10
10
00
01
00
10
10
10
00
10
00
10
01
11
00
01
10
01
00
00
11
00
00
01
10
11
10
00
00
00
00
11
00
00
00
10
00
00
10
01
01
11
00
00
10
00
11
10
01
10
00
10
11
00
00
01
10
00
00
01
10
10
01
10
11
00
01
00
10
01
10
00
01
10
10
10
10
10
10
11
00
10
10
10
00
10
10
01
00
11
10
00
00
11
01
00
00
10
01
11
01
10
10
01
00
01
00
11
10
01
10
01
10
00
00
10
01
00
00
10
00
11
00
11
10
10
01
00
10
10
11
00
00
10
00
10
10
00
10
10
10
10
10
00
10
10
10
00
10
10
00
01
00
10
00
00
10
01
00
01
01
01
00
11
00
00
10
10
10
01
00
10
11
01
00
10
11
00
11
11
00
00
10
11
10
10
00
01
00
00
11
00
00
11
10
10
01
01
00
10
00
01
00
01
10
10
10
10
00
10
10
01
00
10
11
00
00
10
10
00
01
01
11
01
00
10
10
10
01
01
10
10
01
11
00
11
10
01
10
00
01
01
10
11
10
00
10
11
01
01
11
11
10
10
10
11
10
00
00
11
00
10
11
01
00
00
00
10
10
10
10
11
00
00
10
01
10
11
00
00
11
00
10
01
00
10
10
10
01
10
10
01
11
11
11
01
01
10
10
10
00
10
10
00
01
00
10
00
01
10
01
11
11
00
00
10
01
00
10
00
10
10
01
01
01
10
10
00
11
10
10
01
00
00
00
10
00
00
11
10
11
01
00
10
00
00
10
10
01
11
11
00
01
00
00
10
01
00
10
10
00
00
00
01
01
10
11
10
10
11
10
11
11
01
00
00
10
11
11
00
00
01
10
10
10
11
11
00
01
10
01
00
10
00
00
10
01
10
11
00
10
01
00
10
10
10
00
00
00
10
10
00
10
00
10
10
10
00
10
11
00
01
10
00
00
00
00
11
00
00
00
10
11
10
11
00
10
00
00
00
10
00
00
00
10
11
00
01
01
01
10
10
10
11
00
10
10
00
00
10
10
00
10
00
11
01
11
11
00
11
10
10
10
11
10
01
00
11
10
00
01
00
11
10
01
11
10
00
01
10
00
00
10
10
11
11
00
11
11
00
10
01
00
10
01
00
10
11
11
00
00
01
00
00
00
01
10
01
10
10
00
00
10
11
10
10
10
11
00
01
00
01
01
11
00
00
00
10
00
01
11
10
10
01
01
11
11
01
00
00
11
00
10
01
10
11
00
00
10
11
01
00
00
10
10
00
01
00
01
10
10
11
10
10
10
10
10
10
10
01
00
11
10
11
00
10
00
10
10
00
10
01
10
10
11
00
01
01
00
10
00
10
11
00
00
01
10
01
10
00
11
11
11
10
10
10
11
10
00
00
11
01
01
10
01
00
10
00
10
11
00
00
10
01
11
00
11
10
10
10
10
10
00
00
10
00
10
10
00
00
00
00
10
11
10
01
01
01
10
00
11
10
11
01
10
01
10
10
00
10
01
11
10
00
00
00
01
11
10
00
11
10
10
11
00
00
00
00
01
10
11
10
01
01
00
10
10
10
01
00
11
11
00
01
10
10
00
01
10
10
11
11
11
01
00
10
00
00
10
00
00
10
11
00
01
10
01
11
10
11
00
00
11
10
01
00
01
10
10
11
00
00
10
00
00
00
10
10
00
00
10
00
01
01
10
10
10
00
10
10
00
00
10
11
00
11
10
00
10
01
00
00
00
10
10
00
00
00
11
10
01
10
11
00
01
01
00
00
11
11
11
00
01
00
00
10
10
10
10
00
00
00
10
01
00
01
00
11
00
00
10
10
10
01
10
10
10
10
00
00
00
10
01
00
11
11
10
10
11
10
11
10
00
00
10
11
01
01
00
11
10
11
11
11
00
00
00
10
10
00
00
10
10
01
00
00
10
00
01
01
00
01
11
10
11
00
10
00
01
10
10
11
01
00
10
11
00
10
10
11
00
11
10
00
01
01
00
00
10
11
00
10
10
00
00
01
10
11
01
01
01
00
01
00
00
10
11
10
00
00
11
00
11
01
01
00
01
01
00
10
10
10
00
11
11
10
00
00
00
01
10
10
00
10
10
10
00
00
10
10
01
00
10
11
01
00
00
00
10
11
10
01
00
00
10
10
10
00
01
11
00
11
10
00
10
11
11
00
00
10
10
00
10
11
11
00
00
10
00
10
00
11
01
01
11
00
10
11
11
11
10
00
11
11
10
01
00
11
11
00
10
00
10
10
10
00
01
11
01
10
11
11
11
11
10
11
11
10
01
01
11
11
10
01
11
00
00
11
10
01
01
00
10
10
11
10
00
01
10
01
10
11
00
00
01
10
10
01
01
10
10
10
00
00
10
10
00
00
00
10
10
01
01
01
11
00
00
01
01
11
11
01
00
11
00
00
10
10
01
00
00
00
10
11
11
00
11
11
00
00
01
00
10
10
01
00
10
10
10
10
00
00
10
00
10
01
00
11
00
01
00
10
00
10
10
01
10
01
01
10
10
10
11
10
00
00
01
11
01
00
11
10
00
10
11
00
01
10
00
00
10
11
10
00
01
00
01
01
00
01
01
10
10
10
01
00
11
11
00
01
10
10
00
01
10
00
10
10
10
10
01
00
11
00
00
11
00
01
10
01
00
01
10
11
01
01
11
10
10
10
00
10
01
00
10
10
00
00
10
10
10
00
11
01
00
00
00
00
00
11
00
00
11
10
00
10
10
01
11
11
01
00
11
11
11
11
00
00
10
10
01
00
10
10
01
00
10
11
11
10
10
00
00
00
00
00
00
10
10
10
00
10
10
00
01
01
01
10
00
11
00
00
11
01
00
10
00
10
00
10
10
10
01
01
10
00
10
00
00
01
00
01
11
10
01
10
00
11
10
01
01
10
10
10
00
01
10
10
10
10
10
10
00
00
11
10
00
10
00
10
11
10
10
11
10
10
10
11
10
00
01
11
01
00
00
10
10
01
00
10
10
10
10
01
01
00
10
10
00
11
11
00
00
10
10
00
10
00
10
00
00
10
11
00
11
00
00
10
10
01
11
11
00
00
11
00
01
11
10
00
10
00
10
10
00
10
11
00
11
00
00
11
10
11
10
11
00
00
10
10
01
01
00
10
01
11
11
00
00
00
11
00
10
10
01
11
00
00
10
10
01
00
10
00
01
10
01
00
10
01
10
10
00
10
01
10
10
00
10
00
11
10
01
10
11
01
00
10
00
00
10
00
00
10
00
10
10
00
00
10
00
00
11
01
10
01
00
10
10
10
11
10
01
01
10
00
11
01
10
10
00
11
11
00
00
11
00
00
00
10
00
11
01
00
01
10
00
10
11
00
00
10
11
10
00
01
00
10
10
01
10
00
11
10
00
00
01
01
00
11
10
10
00
00
00
01
11
01
11
10
00
11
00
10
10
01
01
11
01
10
10
11
10
01
01
11
00
00
10
00
10
10
11
00
00
00
10
11
00
01
10
01
10
11
10
00
00
10
00
10
00
00
10
10
01
10
00
00
01
00
11
11
00
01
10
11
10
01
00
10
11
00
10
10
00
01
10
00
11
00
00
11
10
10
00
01
01
00
00
00
00
10
10
11
01
00
00
00
00
00
00
00
00
00
10
10
01
10
01
10
00
00
00
00
10
10
00
00
10
11
00
10
11
00
00
11
10
10
10
00
00
00
11
11
00
00
11
00
10
00
00
10
10
00
01
00
11
00
00
00
00
11
01
11
10
11
01
10
10
01
00
01
10
10
11
10
10
00
01
11
00
11
10
11
00
01
10
11
00
00
10
11
10
01
01
10
10
00
00
10
10
00
00
11
00
10
10
00
11
10
01
01
10
11
11
01
10
11
10
11
10
01
00
10
10
00
00
10
01
00
11
11
10
10
01
01
10
00
10
00
01
10
10
10
00
11
10
10
10
00
00
01
10
10
00
10
01
00
01
10
10
01
00
00
10
01
00
01
11
10
00
10
10
00
10
10
01
10
00
10
10
10
10
10
00
00
11
00
10
10
10
10
10
01
01
11
10
11
00
01
00
00
10
01
10
10
00
01
00
10
10
00
01
00
00
10
00
00
10
01
10
11
00
11
01
11
10
10
00
00
10
10
10
00
00
11
11
11
01
00
10
01
10
00
11
11
00
10
01
10
01
00
10
00
11
10
11
11
01
00
00
10
11
10
01
11
00
00
10
10
10
10
10
01
00
00
10
01
01
00
11
10
01
00
10
10
00
01
10
10
00
00
11
01
11
11
11
10
11
00
00
10
00
11
01
01
00
00
11
10
01
11
00
00
11
11
00
11
10
00
11
11
01
10
10
00
00
00
10
10
00
00
11
10
10
01
00
10
10
01
00
10
11
11
10
10
00
00
11
00
11
00
10
10
11
11
01
11
11
00
00
11
10
00
01
11
01
10
10
00
00
10
01
11
10
11
00
00
10
00
00
10
00
01
10
10
10
11
10
00
00
10
00
10
10
10
00
00
00
10
00
00
10
01
10
10
01
01
00
01
10
10
00
10
10
00
11
10
10
00
11
11
10
00
10
11
10
01
00
10
00
00
00
01
00
01
10
10
01
00
01
10
11
10
11
00
00
11
00
10
10
01
01
00
10
11
00
01
00
11
11
10
01
11
11
01
00
10
00
10
11
10
00
01
11
10
10
10
00
11
10
00
10
00
11
10
01
10
10
00
10
11
10
10
00
01
00
00
11
10
11
10
11
01
01
00
00
10
11
00
10
01
01
00
00
10
10
01
10
10
10
10
10
01
00
10
01
10
10
10
10
00
01
10
10
00
10
10
10
00
00
00
01
00
01
11
00
00
00
10
10
00
00
10
10
00
10
00
10
00
10
10
10
11
01
01
11
00
01
11
11
11
00
00
00
01
00
00
10
11
01
01
01
10
11
10
11
10
01
01
11
11
00
01
00
00
10
10
10
00
01
10
01
00
10
10
01
01
10
01
00
10
11
10
01
00
10
10
11
00
01
11
00
10
11
00
00
11
00
00
10
11
10
00
01
00
11
00
00
10
11
00
00
11
11
10
01
11
00
01
01
00
01
10
10
10
10
01
00
10
10
11
00
11
00
10
00
10
10
10
11
00
00
01
10
00
10
10
00
00
00
01
00
10
00
11
00
00
10
11
01
01
10
10
10
10
01
00
11
10
00
11
00
10
01
11
10
00
10
00
00
01
00
10
10
01
11
11
11
00
11
10
01
01
10
00
00
01
11
10
10
10
00
00
10
00
11
01
00
01
10
01
10
10
00
01
10
10
01
00
01
10
10
11
10
00
00
11
11
11
10
01
00
00
11
00
10
10
01
01
10
11
01
11
00
00
10
10
00
01
11
00
11
10
01
10
00
10
10
10
11
11
00
00
10
11
00
10
10
00
10
00
00
10
01
00
10
00
00
11
00
01
00
11
00
01
11
01
01
10
00
10
10
01
11
00
00
10
10
11
00
00
10
11
00
01
10
10
11
10
01
00
00
01
10
11
01
11
10
11
00
10
00
00
00
10
10
01
00
10
11
00
10
10
00
00
00
10
10
00
10
10
01
00
10
00
11
00
00
00
00
00
10
10
10
01
11
01
00
11
10
00
10
10
10
00
01
10
00
01
01
00
01
10
10
11
00
01
00
11
11
10
00
00
01
10
11
01
01
11
10
10
01
10
01
00
10
10
00
00
11
10
00
10
01
10
11
10
00
00
10
11
00
01
10
10
10
00
10
00
11
11
01
00
11
01
01
01
10
10
01
01
00
11
01
11
00
01
10
00
00
00
10
00
01
11
00
00
10
00
10
00
00
00
01
00
00
00
10
10
10
11
00
00
10
10
11
10
01
10
00
10
01
11
11
10
00
10
11
00
01
10
00
00
00
10
10
00
11
10
00
01
00
10
10
00
01
01
00
10
01
01
00
00
00
00
11
10
00
10
10
10
10
00
10
10
00
00
10
00
10
10
10
10
01
11
10
11
10
00
00
10
11
00
10
10
10
10
11
10
01
00
00
00
01
11
11
00
11
10
00
11
10
10
00
00
11
01
11
00
10
10
10
00
00
10
10
10
00
10
11
10
10
10
00
10
10
00
01
10
00
00
11
00
11
10
01
00
01
00
11
00
00
10
10
01
00
11
11
11
01
00
01
00
11
00
00
11
10
10
11
10
00
01
10
10
11
00
01
00
10
10
00
00
11
10
00
01
10
10
10
01
01
01
00
00
10
10
11
00
01
10
01
00
11
00
10
10
00
00
10
10
10
11
00
00
00
01
10
10
11
11
10
10
11
00
10
00
10
10
01
00
00
10
00
11
00
01
10
00
10
10
01
01
01
11
01
01
11
10
10
01
01
11
00
10
01
00
11
10
10
00
11
00
00
10
01
10
01
10
11
11
01
00
10
01
00
00
00
10
11
01
00
10
00
00
00
10
01
10
10
00
00
10
10
10
00
01
10
11
11
10
11
11
00
11
01
10
00
10
10
00
11
00
11
00
10
00
00
00
10
10
00
10
10
11
11
00
10
00
10
10
01
10
11
00
00
10
00
00
10
10
00
00
10
00
10
10
00
00
11
00
01
10
11
00
00
10
00
10
10
00
10
11
10
00
01
00
11
10
01
00
00
10
01
00
10
10
00
10
10
10
10
01
10
10
00
00
00
10
01
01
10
10
10
00
10
11
00
01
10
10
01
10
10
00
10
11
00
01
00
01
00
10
10
00
10
10
10
01
01
10
11
11
00
00
10
00
00
00
00
01
00
11
11
00
00
01
01
10
01
00
11
01
00
11
00
10
01
00
00
01
00
10
11
00
10
11
10
00
00
11
00
00
00
11
00
10
00
11
10
01
00
11
01
00
10
11
00
01
00
10
11
00
00
11
11
00
01
10
11
10
10
01
11
00
11
10
00
01
10
10
10
00
01
11
10
10
11
00
01
01
10
01
00
10
10
00
00
00
00
11
00
11
00
11
10
10
11
10
01
01
00
10
10
00
01
00
10
01
00
10
10
10
11
00
11
10
11
00
00
00
00
00
10
10
00
11
10
11
11
00
00
10
00
01
00
11
11
01
10
10
01
01
11
10
00
00
10
10
11
00
00
00
10
00
00
10
10
01
11
11
01
01
00
11
10
01
10
11
00
00
11
10
00
00
00
10
10
00
00
00
10
00
01
10
10
00
10
10
00
10
00
00
10
00
01
10
11
00
00
00
10
00
10
00
00
10
01
11
10
10
10
10
10
00
00
10
11
10
00
10
10
10
00
00
01
01
01
10
01
01
10
11
11
01
01
01
10
00
10
10
11
00
00
10
00
10
11
00
00
00
11
01
10
10
10
10
00
00
11
00
00
11
00
01
00
00
00
01
01
11
10
01
11
10
01
01
10
10
11
00
00
00
01
01
01
10
10
11
10
01
11
11
01
00
00
01
10
00
10
10
00
10
10
10
11
11
11
00
00
00
11
10
01
01
10
11
01
10
11
01
00
00
10
11
01
11
11
01
01
01
00
10
00
00
10
10
00
00
10
00
00
00
00
00
00
10
00
00
10
00
10
11
11
01
10
10
11
01
00
10
11
01
10
01
00
01
01
10
10
11
00
01
10
00
00
11
10
10
00
01
00
01
10
01
00
10
00
11
10
00
10
10
10
10
00
10
11
11
11
00
10
10
11
10
00
00
11
10
01
10
11
00
00
11
00
10
10
01
01
01
10
00
01
11
00
10
10
00
10
00
11
11
00
01
00
00
00
00
10
00
00
10
11
10
00
10
10
10
00
11
01
11
11
00
10
00
10
10
00
00
10
10
00
10
11
10
10
11
01
01
01
11
10
11
00
11
10
01
10
10
01
01
11
10
00
11
10
10
10
00
01
00
10
01
11
10
10
00
00
01
10
00
01
10
00
11
11
10
11
10
11
00
01
11
10
00
01
10
11
01
01
00
01
10
00
00
10
10
10
11
00
00
01
00
11
11
01
11
11
10
01
00
11
00
00
10
10
11
01
10
11
10
10
10
10
00
00
10
00
00
10
10
01
10
01
01
10
10
00
10
11
10
00
01
10
10
10
00
10
11
10
10
01
01
00
11
10
01
10
10
10
01
10
00
00
10
01
01
00
10
00
10
00
00
10
10
00
00
00
10
11
01
00
11
01
01
00
00
10
00
11
10
00
10
01
01
01
00
11
11
00
00
11
10
10
01
01
11
00
00
00
00
01
01
11
10
00
11
10
00
11
11
00
11
10
00
01
00
00
00
10
01
10
10
00
10
11
10
00
00
01
11
11
11
11
10
10
01
10
00
11
11
00
01
01
10
10
10
00
10
10
00
10
00
00
00
00
11
00
00
10
11
10
10
11
10
11
00
10
01
01
10
00
00
10
11
00
10
10
11
10
10
10
11
11
00
00
01
10
01
10
11
00
00
10
10
10
01
11
10
11
00
00
00
00
10
01
00
11
10
01
10
01
00
10
11
11
00
01
11
10
01
10
10
11
10
00
00
11
11
00
01
00
11
10
10
01
10
10
00
00
10
00
10
01
01
01
01
00
01
10
10
01
01
11
10
11
10
10
10
00
01
10
10
01
00
00
10
00
10
10
00
11
10
00
10
00
01
00
00
11
00
00
10
11
01
11
10
00
00
10
00
01
01
10
01
11
10
11
10
00
01
01
00
00
10
10
00
01
10
10
10
00
10
11
00
11
01
10
01
10
01
01
11
10
10
10
00
11
00
10
00
10
10
10
10
01
10
11
10
11
00
00
11
11
10
10
00
00
11
01
01
00
10
11
00
11
00
00
10
11
10
00
10
10
00
00
10
10
11
10
11
10
00
11
11
11
00
01
00
10
10
00
00
11
10
00
00
10
10
10
10
00
00
10
00
11
00
10
01
10
10
10
01
10
00
01
00
00
10
10
11
01
00
11
10
01
00
10
00
01
11
10
10
00
01
00
11
10
10
01
00
01
10
01
00
00
00
10
10
00
10
10
00
10
10
01
10
00
10
10
00
00
01
11
00
00
10
01
10
11
00
10
01
00
01
00
10
11
11
01
00
10
11
00
01
00
10
10
00
00
01
00
10
00
00
00
00
10
10
11
00
11
10
10
10
00
01
10
01
00
10
10
01
10
10
01
00
10
10
00
00
01
10
10
00
10
00
11
11
00
01
10
10
00
01
00
00
10
10
11
10
11
00
10
10
00
11
00
11
00
10
00
10
10
01
00
11
11
01
00
01
00
00
10
10
01
01
10
11
10
00
00
00
01
10
00
10
11
01
00
00
00
10
00
01
10
00
10
00
10
11
00
00
00
00
00
11
10
00
00
10
11
10
00
00
11
10
10
01
11
10
10
10
10
01
01
01
10
10
00
10
01
00
00
11
10
00
00
11
01
00
10
11
01
10
11
11
01
10
00
10
00
01
10
01
10
10
00
00
11
00
01
10
00
10
01
11
11
01
00
10
10
10
10
00
10
10
00
00
00
10
10
10
11
11
10
01
00
00
00
11
01
00
10
10
10
00
01
11
10
00
00
10
01
10
11
01
11
10
10
10
10
10
10
00
00
00
11
10
10
00
00
01
10
11
11
10
11
10
01
00
00
01
10
10
01
00
00
10
11
00
00
00
00
00
10
01
10
00
00
00
00
11
00
11
11
10
10
10
10
10
11
01
10
00
01
00
10
00
01
11
11
11
11
01
00
10
11
11
00
00
10
11
11
01
00
11
10
11
10
00
10
00
00
10
10
01
10
10
01
11
00
11
10
00
10
11
01
00
01
11
10
10
10
11
10
00
00
00
00
11
11
11
00
10
11
01
00
11
01
00
10
11
10
00
01
10
10
10
10
01
00
11
00
10
00
00
00
01
00
10
10
00
01
11
10
01
10
10
10
10
11
10
01
00
00
10
10
00
10
10
00
11
00
00
10
10
00
01
11
11
11
01
11
10
10
10
10
00
00
10
10
00
01
10
00
00
10
11
10
00
00
00
11
10
00
00
10
10
11
11
10
00
00
10
10
11
00
00
10
10
10
00
10
10
10
10
00
01
10
10
01
10
10
10
11
10
11
00
00
10
10
10
11
00
00
10
00
10
11
10
11
10
10
00
01
10
00
00
10
10
00
11
10
00
11
10
00
10
00
00
10
10
01
00
00
10
11
00
10
00
01
00
10
01
01
10
01
10
10
11
00
00
11
00
00
00
01
01
10
01
10
01
10
00
00
10
00
00
00
10
10
10
10
00
01
11
11
00
10
00
01
00
10
10
10
10
00
00
00
01
10
10
10
10
00
10
10
01
00
10
00
10
11
10
10
00
01
00
11
01
01
11
10
00
00
10
10
11
00
00
00
00
00
01
11
10
10
10
01
10
11
01
10
10
00
01
11
10
00
11
11
11
11
00
00
10
00
10
10
00
00
01
00
00
10
00
00
00
00
11
10
11
01
10
00
00
10
10
01
01
10
11
01
00
00
01
00
10
10
00
01
00
10
10
01
01
10
00
01
01
01
11
10
01
00
10
10
11
00
00
10
10
10
00
01
10
10
01
00
00
11
00
11
00
01
11
11
01
01
00
10
10
10
10
10
10
00
10
11
10
10
00
01
10
01
00
00
10
10
00
01
00
10
00
01
11
10
00
01
10
11
10
10
10
11
11
00
00
10
00
10
00
00
11
11
00
01
00
10
00
10
10
00
01
10
00
00
01
00
01
00
10
11
00
00
11
10
00
10
00
10
10
01
00
00
01
10
11
01
01
10
00
01
00
11
10
10
00
00
10
10
10
01
00
10
00
10
01
10
11
01
00
10
10
10
00
01
10
00
00
11
10
11
10
00
10
10
00
00
10
10
00
10
10
00
10
10
01
00
01
10
01
00
00
00
00
00
10
00
11
11
01
10
00
11
10
00
10
00
00
01
10
00
10
00
11
11
11
01
11
10
00
00
11
01
00
10
00
11
11
10
00
11
00
01
00
00
10
11
10
10
00
00
01
11
01
00
00
10
11
00
00
00
10
10
01
00
01
01
10
11
11
00
10
10
01
10
11
00
10
10
01
01
00
10
00
10
10
01
00
10
10
00
00
01
11
01
11
11
00
10
00
01
11
10
00
11
11
11
11
11
10
00
01
01
01
00
10
10
00
00
00
00
10
11
00
11
11
10
01
00
00
00
00
01
10
10
00
10
10
10
00
10
00
00
11
01
11
01
10
00
10
00
10
10
00
10
00
10
01
00
00
11
10
01
00
00
10
10
00
10
10
00
10
11
01
10
11
01
00
01
00
00
10
10
01
01
01
11
10
10
00
11
10
11
00
00
10
00
10
10
00
01
11
11
01
00
00
00
01
00
00
10
10
10
01
10
01
01
10
00
11
11
10
00
01
00
00
11
00
10
10
11
10
00
00
00
01
10
01
00
11
00
11
10
00
11
10
00
01
00
11
00
11
11
10
10
10
00
00
11
10
01
10
10
00
11
11
10
01
10
10
01
00
10
11
00
00
10
10
10
10
00
01
10
00
00
01
01
11
00
00
00
10
11
00
01
10
01
10
10
11
00
00
00
00
10
00
00
10
10
10
11
01
11
10
00
10
00
00
00
10
10
00
00
00
10
01
00
00
00
10
10
10
10
01
00
11
00
00
01
10
00
11
00
00
00
10
00
10
10
00
11
11
00
11
11
00
11
11
10
10
00
01
00
10
11
01
00
10
00
10
01
10
10
00
10
11
01
10
10
10
00
11
10
00
00
10
01
10
11
00
01
10
10
00
11
01
00
11
01
10
11
00
10
11
00
00
11
10
00
00
11
10
00
00
10
10
00
00
01
10
10
10
11
00
10
00
01
11
10
11
00
11
01
01
10
10
11
00
00
10
01
10
11
10
10
10
11
01
10
01
10
10
01
11
00
00
10
11
00
11
01
01
01
10
10
00
00
10
10
00
00
10
01
10
01
10
10
10
10
00
10
01
00
00
01
00
00
10
01
10
00
00
11
00
10
10
11
00
10
11
01
00
11
00
01
00
10
10
10
00
01
00
10
00
00
11
11
10
00
00
10
00
11
00
00
01
10
10
10
10
00
11
10
00
10
00
11
01
10
11
10
00
10
00
00
00
01
00
00
10
10
00
00
00
10
11
00
10
01
10
10
01
10
01
00
10
00
10
11
00
11
11
10
01
00
01
00
11
10
10
01
01
01
10
01
00
11
10
11
00
11
10
00
00
10
01
00
10
11
10
11
01
00
01
10
00
01
10
10
00
10
10
10
00
00
10
00
10
01
00
00
11
11
11
11
00
00
10
00
00
01
10
10
00
00
00
01
11
11
01
01
11
00
00
11
11
10
00
00
11
01
01
10
11
11
00
11
00
10
10
01
01
00
01
11
01
10
00
00
10
10
00
10
11
10
10
10
01
11
10
10
00
00
10
10
01
00
11
10
11
01
10
10
10
10
00
00
10
00
00
00
10
00
00
00
11
00
00
10
10
01
10
11
00
00
11
00
01
10
01
01
01
11
10
00
00
10
10
00
01
10
10
11
00
00
00
00
00
10
00
10
10
00
10
11
00
00
10
11
01
01
10
10
00
01
01
00
10
10
10
10
10
00
10
00
10
01
01
11
00
00
00
00
11
10
10
01
10
10
10
00
00
00
10
11
01
10
10
10
10
00
01
10
10
01
10
10
10
00
01
00
10
10
11
11
01
10
10
00
00
10
01
01
10
00
00
11
00
11
11
11
01
01
01
00
01
10
10
00
00
01
10
11
11
10
00
10
10
00
10
10
00
10
00
00
10
10
11
10
00
10
00
01
10
10
10
11
00
10
10
11
01
10
01
01
10
10
11
00
00
10
10
00
00
10
00
01
00
11
10
01
11
01
11
11
11
01
00
10
11
00
10
11
00
10
00
10
01
10
10
10
00
11
10
11
00
00
01
10
10
10
10
00
00
00
10
10
00
10
10
00
01
00
10
11
11
11
00
00
11
11
00
01
11
11
10
10
01
10
10
01
00
10
00
10
10
10
10
10
00
11
10
00
01
00
11
00
10
11
00
10
10
10
00
11
10
10
01
01
11
10
10
00
01
11
11
00
00
00
00
10
00
10
01
11
11
00
01
00
10
11
10
00
00
11
10
00
01
10
00
10
00
00
00
10
10
11
10
01
01
11
01
00
01
01
10
11
10
01
01
01
11
01
10
10
01
00
11
10
01
00
11
11
00
00
01
11
11
10
00
10
00
10
10
00
00
10
10
00
00
00
00
10
10
10
10
11
00
01
00
00
10
10
10
01
00
11
10
11
10
00
00
00
00
10
00
11
11
01
01
01
10
11
11
00
11
10
01
00
01
10
00
11
10
01
00
10
11
10
00
00
00
11
00
10
10
01
01
10
10
10
00
00
11
00
11
10
00
11
10
10
00
00
10
10
11
00
10
10
00
10
11
00
00
11
00
00
00
10
10
00
00
00
10
11
00
11
00
11
10
00
00
00
11
00
00
11
10
01
10
00
01
10
10
00
00
10
10
11
00
00
10
10
01
11
10
00
10
10
11
11
00
01
00
10
00
00
10
00
00
00
10
10
10
10
00
10
10
00
10
00
00
11
01
01
00
00
10
11
01
00
00
00
01
11
11
11
10
10
11
11
01
00
10
10
01
00
10
00
00
10
01
10
11
10
01
11
00
00
10
01
10
10
01
00
00
00
10
10
10
11
00
00
01
01
10
10
10
01
01
10
11
11
01
00
00
01
00
10
11
00
01
10
10
10
00
10
00
10
11
01
00
10
00
10
10
10
00
11
11
11
11
10
11
00
11
01
11
01
10
10
00
10
10
10
00
01
00
11
00
11
01
10
11
00
00
01
10
01
01
10
01
10
11
10
11
00
00
00
10
10
00
01
10
10
00
00
00
11
10
10
11
00
10
11
10
00
01
00
10
00
00
11
00
00
00
01
11
00
00
10
00
10
01
10
10
01
10
11
00
10
00
01
11
00
01
10
10
10
10
01
11
10
01
00
10
11
01
11
01
10
10
00
01
01
00
11
10
01
01
00
00
00
11
10
10
01
10
00
00
00
10
10
00
10
10
00
00
00
10
00
10
00
10
10
00
11
10
00
01
10
00
00
01
11
10
10
00
00
10
00
01
10
10
10
11
01
11
00
00
10
00
10
10
00
11
11
10
10
01
00
00
00
10
10
00
10
10
00
01
00
11
00
00
01
11
01
01
10
00
01
11
11
10
00
10
10
11
01
01
10
00
01
00
00
01
01
00
11
11
10
00
10
10
10
00
01
00
10
01
00
00
00
10
10
00
10
10
11
00
10
10
11
00
11
00
00
00
10
01
10
11
00
01
10
10
10
00
00
10
00
00
10
11
00
10
11
01
11
00
10
11
11
00
00
10
00
10
11
01
11
11
00
10
10
00
00
10
11
00
00
10
00
00
01
00
11
11
00
10
01
00
10
11
10
00
10
00
01
00
11
10
11
10
10
10
11
00
00
10
00
11
00
01
00
01
11
01
10
00
10
10
11
00
10
10
10
01
10
00
10
00
01
01
10
10
10
01
10
10
00
00
00
10
10
00
11
11
01
00
11
00
00
00
11
01
01
00
10
10
11
10
01
00
10
11
00
00
10
10
00
01
01
10
10
01
01
10
00
01
10
00
10
10
00
11
00
00
10
00
00
11
00
01
00
10
01
11
10
10
10
00
11
11
00
10
00
10
10
10
10
01
01
01
10
10
01
10
00
10
00
00
00
00
10
11
10
00
01
01
10
00
11
11
00
00
11
00
11
00
00
10
11
00
00
10
10
10
11
01
10
10
00
10
10
10
00
01
10
10
10
11
11
10
11
10
10
00
00
10
00
00
11
00
00
11
10
01
10
01
00
10
01
10
11
10
01
10
10
01
01
00
10
00
00
00
00
11
00
10
10
00
11
11
10
00
10
10
10
00
00
00
10
10
11
00
00
01
01
01
11
10
10
00
00
01
10
10
00
11
00
01
00
00
00
01
10
10
11
01
01
11
10
11
00
00
10
00
00
00
00
10
10
00
01
00
01
00
10
10
01
10
00
10
10
10
00
00
00
10
01
10
00
10
00
01
00
10
11
00
00
01
11
01
00
00
11
10
00
10
00
00
00
11
10
00
10
10
01
00
11
00
00
10
00
10
10
00
01
01
10
00
00
00
10
01
10
10
01
00
01
01
11
00
01
10
10
10
10
00
00
11
00
10
11
00
10
10
10
01
10
11
10
01
11
11
10
00
10
11
00
00
10
10
01
01
00
10
00
00
10
10
01
00
11
10
00
01
00
01
10
10
10
11
00
00
00
10
00
00
10
10
11
00
10
00
00
00
00
10
11
10
00
11
11
00
00
11
01
00
01
11
11
00
00
01
10
00
01
10
10
01
10
00
01
10
00
00
00
10
11
10
00
10
10
01
01
10
10
11
00
01
11
10
11
01
11
00
10
01
00
11
01
10
10
01
01
01
10
10
00
10
10
10
00
11
10
00
00
10
00
00
00
10
11
10
10
01
00
11
01
10
00
10
10
00
00
10
00
01
11
00
00
10
01
11
10
01
10
10
00
11
10
00
00
11
10
00
01
11
10
00
01
00
11
11
00
01
10
10
01
11
11
10
11
11
00
11
00
00
10
00
00
00
10
11
00
10
11
00
01
10
10
00
00
01
10
00
00
10
00
10
01
11
00
00
10
11
10
10
00
11
10
00
10
00
00
10
11
00
01
00
11
11
10
10
00
10
11
10
01
10
00
01
10
00
01
10
00
01
10
10
01
00
10
10
11
00
01
10
10
10
10
10
10
00
00
01
01
10
10
10
00
00
10
10
01
11
11
11
10
10
10
11
00
10
10
00
10
10
00
00
01
10
01
00
11
10
11
00
00
10
10
01
10
10
11
10
11
10
00
00
00
10
00
00
10
10
00
01
10
10
11
00
10
00
10
11
00
00
00
11
10
10
01
10
00
10
00
01
11
00
10
10
01
10
11
00
01
01
01
01
00
10
01
00
10
11
01
10
10
01
10
10
00
01
00
11
01
00
11
00
00
10
10
00
10
10
00
01
00
10
00
00
00
10
10
01
00
10
00
10
00
00
01
10
10
10
10
10
10
00
10
00
01
00
10
10
10
10
00
01
10
01
10
00
00
00
01
00
01
10
00
01
00
01
10
10
10
10
10
10
10
01
11
00
11
10
11
10
00
10
10
00
00
11
00
01
00
10
01
10
00
01
10
00
10
10
01
00
00
00
10
10
00
10
01
01
00
11
00
01
10
10
00
00
00
10
00
01
10
10
01
11
00
10
01
00
11
00
11
10
00
00
10
00
01
00
10
10
00
00
00
11
01
00
10
11
10
10
00
10
01
01
01
00
10
10
10
00
00
00
11
10
00
11
10
10
10
10
01
10
00
00
10
00
11
10
01
01
00
11
11
10
01
11
10
00
01
11
10
10
00
00
10
11
11
10
10
00
10
00
00
01
10
11
00
10
10
00
01
01
00
01
10
11
01
00
00
10
01
00
10
10
10
00
01
01
10
01
10
10
10
00
00
00
11
10
00
00
10
10
01
00
00
10
00
00
01
00
11
01
00
11
10
10
00
10
10
10
00
00
00
10
10
11
00
10
10
11
10
00
00
00
10
10
00
11
00
00
01
10
11
11
11
00
10
10
00
00
10
10
01
10
11
10
00
11
11
01
00
00
11
01
10
10
00
11
11
10
00
00
11
11
00
00
11
10
01
10
10
10
10
00
00
00
11
10
10
00
01
10
10
01
00
00
10
00
10
00
10
10
10
01
00
10
00
00
00
01
00
10
00
01
11
11
10
10
00
01
10
10
00
01
11
01
00
00
10
11
11
00
10
10
11
10
00
01
00
00
11
10
10
10
00
11
11
01
01
01
10
11
00
00
00
00
10
10
11
01
00
00
01
11
10
00
10
11
01
10
01
00
10
10
11
11
00
10
10
01
10
01
10
10
01
10
10
00
10
00
00
01
10
10
10
00
00
00
10
10
00
01
11
01
01
01
10
10
10
00
00
00
10
10
00
01
00
10
00
10
11
01
00
01
11
11
10
00
11
10
10
00
01
10
01
11
00
10
11
01
00
10
00
00
11
00
10
10
11
00
01
01
00
11
11
01
11
00
10
10
01
00
11
10
01
11
11
00
01
00
11
10
00
10
00
10
00
11
11
11
10
01
10
00
00
00
10
11
00
01
10
10
11
00
00
11
00
01
00
11
10
10
01
10
00
01
10
10
10
00
01
00
10
01
00
00
10
00
10
01
10
11
00
00
00
00
00
00
10
10
01
11
11
01
01
00
00
01
10
10
11
00
00
11
10
00
00
10
10
00
01
11
10
10
01
10
00
11
11
00
00
10
11
11
10
00
01
10
01
01
11
11
00
01
11
00
01
00
11
00
00
10
11
01
01
10
11
10
10
11
00
00
10
10
01
00
01
10
00
10
10
00
10
00
01
00
00
11
01
11
10
01
10
10
00
00
01
10
11
11
01
10
10
00
01
10
00
01
11
00
11
10
00
10
11
00
10
11
00
00
11
10
10
00
00
10
00
10
11
00
11
10
10
10
11
10
00
10
11
11
00
10
10
10
01
01
00
00
10
11
00
11
10
11
00
10
00
00
10
10
00
00
10
10
01
11
10
10
01
11
11
01
00
11
11
10
10
01
00
10
10
00
01
10
10
01
11
11
10
11
10
10
00
11
01
00
00
00
10
01
00
11
00
01
10
11
00
01
10
11
11
00
10
00
10
10
01
00
11
10
00
10
10
10
00
00
10
11
11
10
11
10
00
10
10
00
00
11
11
10
01
10
10
00
00
00
11
10
00
10
10
00
10
01
00
00
01
11
10
00
10
00
00
11
10
10
10
00
00
00
01
10
00
00
00
01
00
00
00
11
00
01
10
11
11
10
10
01
00
11
10
00
10
01
10
10
10
10
01
10
10
10
10
10
00
10
10
00
01
00
00
10
10
10
11
00
10
00
01
00
01
01
10
00
11
10
11
01
00
11
01
11
10
00
00
01
00
10
00
00
11
00
10
10
00
01
10
00
10
00
00
10
01
00
10
11
00
10
10
01
10
10
00
01
10
11
00
11
00
01
00
01
01
11
00
00
00
01
01
10
11
11
00
01
11
11
10
10
00
10
11
10
01
00
11
01
10
10
10
00
00
10
00
10
00
11
10
00
10
00
10
01
00
00
10
10
00
10
10
10
10
01
00
10
10
10
00
00
10
00
01
11
10
10
01
00
00
10
10
10
10
00
00
00
11
10
00
00
10
10
00
00
10
00
11
10
00
00
10
01
10
01
00
01
01
10
01
00
11
10
00
11
00
01
00
11
10
10
11
01
11
11
10
01
00
01
10
00
00
11
00
11
11
00
00
01
01
00
01
11
11
00
10
10
01
10
00
00
10
10
00
10
10
11
00
01
01
01
01
00
10
10
11
00
01
01
00
10
10
10
11
10
01
01
10
10
11
01
01
01
10
01
10
10
00
00
10
10
10
00
00
10
01
00
11
10
00
01
10
01
01
00
10
01
10
01
00
10
10
10
10
01
01
00
10
10
00
01
10
10
00
00
10
01
01
11
10
01
00
00
00
00
00
00
11
10
00
10
11
00
00
10
10
11
00
00
10
10
10
01
10
10
00
00
10
00
10
11
11
10
11
10
00
00
00
01
11
01
10
10
10
00
11
10
01
00
01
00
11
10
10
10
11
11
01
10
10
10
10
10
10
01
00
11
00
00
11
10
00
00
10
11
10
01
10
11
10
11
10
01
10
00
01
10
00
11
00
00
10
11
00
01
11
00
01
10
10
10
11
00
10
01
00
00
00
10
11
10
01
00
00
01
11
01
10
10
00
01
10
10
10
01
00
00
00
01
00
10
10
01
10
10
00
10
11
01
00
10
00
01
11
10
01
01
11
10
00
00
10
01
00
10
11
10
11
10
00
00
10
00
10
11
11
10
00
10
10
11
11
11
01
11
00
00
01
10
00
11
11
00
10
10
10
10
00
10
00
01
10
00
10
00
10
00
11
10
10
00
00
00
10
10
00
01
10
10
00
00
10
00
10
11
11
11
01
10
00
11
10
01
00
10
00
01
00
01
11
10
00
10
11
00
01
10
10
10
11
11
10
00
00
10
01
10
00
10
10
11
11
10
00
00
00
00
10
01
11
10
00
00
10
10
00
01
00
11
10
10
00
00
00
00
11
10
01
01
01
00
00
00
01
11
10
01
00
01
00
11
01
00
00
11
11
10
01
01
10
00
11
00
00
11
10
11
11
10
00
00
10
01
01
10
10
00
01
00
00
10
01
00
00
01
00
01
10
10
10
11
00
01
00
10
10
10
10
11
01
10
10
00
01
01
10
00
10
10
11
11
10
10
00
10
10
00
01
10
10
01
11
10
00
10
11
00
01
00
10
00
10
10
00
00
00
01
10
00
01
11
11
11
10
00
00
00
10
10
00
00
00
10
01
11
10
10
10
10
00
10
00
11
10
11
01
11
11
11
11
11
00
01
10
11
00
01
10
10
11
00
00
10
10
00
11
10
10
10
00
00
10
11
00
11
10
01
01
11
00
11
10
00
10
10
10
01
01
10
00
10
11
00
00
10
10
10
11
10
01
00
10
00
11
01
00
11
10
00
01
10
10
10
10
00
00
01
01
01
01
11
10
01
00
10
10
00
01
10
11
01
01
00
10
10
10
00
00
11
01
10
10
10
10
00
01
11
10
10
11
00
00
01
10
10
01
01
10
10
10
00
00
01
00
11
11
01
00
10
10
11
10
10
00
00
10
01
10
10
10
00
00
01
11
10
10
01
11
11
00
00
11
00
01
11
00
11
00
01
00
00
10
10
00
00
00
01
10
11
00
10
10
00
00
10
00
00
00
10
01
10
00
10
00
01
10
00
01
10
11
10
10
00
11
10
10
00
00
00
10
10
00
10
10
11
11
11
00
00
01
10
11
00
10
01
00
11
01
00
10
11
01
10
11
01
00
10
01
00
10
10
00
11
01
00
11
00
00
10
00
10
10
10
11
10
00
10
10
00
00
11
10
11
11
01
10
10
00
10
00
11
00
00
11
11
00
00
00
10
11
10
10
00
00
11
00
01
01
00
10
10
00
11
10
01
01
11
00
11
00
11
10
11
00
01
00
10
00
10
10
00
01
11
10
10
01
10
10
10
00
00
11
01
10
00
11
10
11
10
00
11
01
00
00
10
00
01
10
10
01
11
10
10
01
00
10
10
01
10
01
10
10
10
11
10
11
01
01
10
00
00
10
00
01
11
10
00
00
00
11
01
01
10
10
10
00
00
10
00
00
10
01
00
11
10
10
01
11
00
00
00
10
10
00
00
11
10
00
10
00
00
00
01
10
11
00
11
11
10
00
00
10
01
01
10
10
00
00
10
00
01
11
00
10
11
01
11
10
10
00
11
11
00
00
11
11
00
00
11
11
11
00
00
11
00
11
01
00
10
10
10
11
10
10
00
10
10
00
10
11
10
00
10
01
10
10
10
01
01
11
10
11
10
11
00
11
01
01
10
01
11
00
01
11
10
00
10
10
00
01
10
00
10
11
11
10
10
10
00
10
10
00
00
11
11
11
10
11
00
01
11
00
00
10
10
10
10
01
00
10
01
00
01
10
10
00
10
01
10
10
01
00
01
11
10
10
00
00
10
10
00
00
10
01
10
00
00
00
10
10
00
00
10
11
00
00
00
00
11
10
00
10
00
10
10
00
10
01
00
10
10
11
10
10
00
11
10
00
00
00
10
10
10
10
01
00
01
01
11
01
11
11
10
01
00
01
00
10
10
01
00
11
10
00
00
10
11
10
10
00
10
10
01
10
10
00
01
10
01
10
01
00
00
10
11
00
01
10
10
10
00
00
11
10
00
00
00
10
00
10
01
10
10
00
10
01
11
10
11
00
10
01
00
01
10
11
00
10
10
00
11
11
01
01
10
10
01
10
10
00
00
10
01
11
10
01
01
10
00
00
10
10
00
01
00
11
01
01
10
10
01
10
00
10
10
00
00
11
00
11
11
10
00
00
10
10
01
00
01
10
10
00
00
10
10
10
01
10
11
00
00
10
10
00
10
00
00
10
00
10
10
11
01
01
00
11
01
00
01
10
10
00
00
10
11
00
01
00
11
10
00
10
10
00
11
00
01
00
11
10
10
01
10
11
01
00
01
10
00
01
10
10
00
00
10
01
10
01
01
10
01
10
10
10
01
00
10
11
01
00
00
10
10
01
10
11
01
01
11
01
00
00
11
00
10
11
00
00
00
11
00
01
01
10
00
00
01
00
00
11
01
00
10
00
00
10
00
00
10
11
11
00
10
00
00
10
00
01
00
01
11
10
00
11
10
11
00
10
00
01
11
01
00
10
01
11
11
00
01
11
10
10
01
00
10
10
00
00
00
11
10
10
10
01
00
01
01
10
00
10
11
01
10
00
10
11
10
00
00
10
10
01
10
01
00
10
00
01
00
00
10
10
10
00
10
10
00
00
10
11
00
10
01
10
01
01
01
00
10
11
10
01
11
00
10
10
01
10
01
01
10
10
01
01
00
00
10
10
11
01
00
00
00
10
00
11
11
00
01
10
01
01
01
01
11
10
11
10
10
00
01
10
10
10
00
10
10
01
10
11
01
11
10
11
00
01
00
00
10
00
00
10
10
10
00
10
11
11
01
01
11
00
10
10
00
00
10
11
10
00
01
01
01
01
11
10
11
10
00
01
10
00
01
01
11
11
00
11
10
11
00
01
00
10
00
01
00
11
11
00
01
10
10
01
00
10
00
10
10
00
00
00
00
01
11
11
10
11
10
01
00
00
10
10
00
11
10
00
00
11
00
11
10
10
10
00
01
10
01
00
00
10
11
00
00
10
10
00
00
10
10
00
00
00
00
10
11
10
10
11
10
10
01
10
11
10
10
00
11
10
10
00
01
10
11
00
00
00
10
10
00
11
01
11
11
00
00
11
10
00
10
11
01
01
00
10
01
10
00
01
00
01
11
00
11
10
00
00
00
10
10
01
00
10
00
11
10
10
01
11
10
10
10
01
00
00
10
10
11
10
00
11
01
10
10
00
01
00
11
10
10
00
00
00
00
00
10
01
11
01
01
01
10
01
10
10
10
00
11
11
10
01
01
10
00
10
00
10
11
00
00
10
00
01
01
00
10
11
11
01
01
11
00
10
10
00
10
10
00
00
10
11
10
10
00
01
00
01
11
11
00
10
00
01
00
10
11
00
11
01
01
11
11
00
00
10
11
00
00
10
00
10
10
10
10
10
10
00
10
10
00
00
01
10
00
10
10
10
01
00
11
10
10
00
00
00
01
11
10
00
00
00
10
11
00
11
00
01
01
11
11
10
11
00
00
00
00
10
11
00
00
00
11
00
00
10
11
11
00
00
00
11
01
00
10
00
10
10
01
00
11
11
10
01
01
10
00
01
00
11
10
11
01
00
11
01
01
10
10
01
10
10
00
01
11
10
10
00
01
01
10
11
00
00
10
10
00
01
01
10
00
11
10
11
10
00
00
10
01
00
00
11
10
00
00
11
10
00
11
00
00
10
00
11
11
00
11
01
01
10
10
00
00
00
10
10
00
00
00
11
00
00
00
10
11
11
00
01
00
00
00
00
10
00
00
11
10
01
11
00
01
10
11
10
01
00
10
01
00
01
10
11
01
00
00
10
00
00
01
01
10
00
10
00
10
10
10
00
00
00
10
11
10
01
10
10
00
00
10
01
00
10
10
10
01
00
00
11
10
01
00
00
10
11
00
01
11
01
01
00
10
10
00
00
10
10
00
00
00
10
00
11
10
10
11
10
11
10
01
00
11
10
10
01
00
01
10
00
00
10
00
11
11
10
00
00
00
00
01
00
11
11
11
11
01
00
01
00
11
10
00
00
00
11
00
00
10
10
10
10
10
00
00
11
01
10
10
11
11
01
11
01
00
01
10
11
01
10
11
11
10
01
00
01
10
10
10
01
00
00
01
11
10
11
11
01
00
11
00
00
10
10
10
00
01
11
00
10
10
00
10
11
00
01
11
10
00
11
11
00
10
10
00
00
01
01
10
10
10
11
10
11
01
01
11
10
10
01
10
01
10
00
00
10
10
10
00
01
10
10
11
10
01
10
10
00
01
10
01
01
10
11
11
00
10
00
00
10
00
00
10
10
00
10
01
00
11
11
00
00
11
00
10
00
10
01
10
01
01
00
01
11
10
10
10
01
00
01
10
10
01
10
10
00
00
11
10
01
10
01
10
10
10
10
11
00
10
10
01
00
00
10
01
00
01
11
10
11
11
10
10
00
00
01
01
10
00
00
00
10
01
11
11
10
00
10
10
10
00
00
11
10
01
10
10
00
11
10
00
00
10
10
01
00
10
00
00
00
10
10
00
11
00
10
11
10
11
00
00
11
00
01
10
00
00
11
00
11
11
01
01
01
11
01
01
10
10
01
00
11
10
11
10
00
01
00
10
00
01
11
00
10
10
00
00
00
00
11
00
00
11
10
11
11
01
01
01
11
10
01
11
11
00
00
01
11
11
01
00
00
10
00
10
10
11
01
00
10
00
11
00
10
00
11
10
01
00
00
10
00
11
00
10
10
10
10
10
10
10
10
01
01
00
10
11
01
11
10
00
10
00
01
10
00
00
11
11
10
10
00
10
10
00
00
10
10
10
00
01
00
10
11
00
00
10
00
10
00
00
00
11
00
10
10
10
10
00
10
00
10
11
10
00
10
11
00
11
00
10
01
01
00
10
00
00
00
00
10
10
11
10
10
10
00
00
11
00
10
01
10
00
11
00
00
11
10
00
01
10
10
00
10
11
10
01
10
00
10
10
10
01
10
00
00
10
00
00
10
10
00
01
10
11
00
00
00
10
10
11
00
00
00
00
10
00
11
11
00
11
00
00
11
11
10
11
11
00
01
00
10
00
00
10
11
11
00
11
00
10
10
10
11
10
00
01
11
00
10
00
11
11
10
11
00
10
00
01
10
00
10
10
00
01
11
01
01
11
10
00
01
10
00
00
11
11
10
10
10
10
00
01
01
00
01
00
10
00
00
10
00
01
00
01
00
10
10
11
00
10
10
10
11
00
00
01
10
11
00
00
00
10
10
11
10
01
00
10
11
00
01
00
10
10
10
00
01
00
10
10
00
00
11
11
11
00
00
00
11
11
00
01
10
00
10
10
00
10
10
10
10
01
10
10
10
00
10
00
00
00
00
10
10
11
11
00
11
10
01
11
11
01
00
10
10
11
01
01
10
10
10
10
11
00
00
10
01
11
10
00
00
11
11
01
10
01
10
10
11
00
00
00
11
01
01
01
10
00
00
10
10
10
01
00
10
10
10
01
10
01
00
00
10
00
01
10
00
00
00
01
00
00
10
10
10
11
00
00
10
10
10
10
10
10
10
10
10
00
10
00
01
01
10
00
00
00
10
00
00
11
11
00
00
10
11
11
10
00
11
00
00
00
00
00
11
00
10
10
00
10
00
10
11
00
11
11
00
01
11
01
01
01
11
11
10
11
00
00
10
00
10
10
00
11
11
00
01
10
00
10
00
10
01
10
11
00
00
01
10
10
10
00
10
11
10
00
10
00
11
00
11
00
01
00
11
01
10
10
00
10
11
10
00
01
11
11
11
10
01
00
11
10
10
10
00
00
00
10
10
01
00
00
10
10
00
00
00
10
01
10
10
10
10
11
10
11
11
01
00
01
00
10
10
00
00
10
10
00
00
00
00
01
10
00
01
00
10
10
10
00
00
11
01
10
00
01
11
00
10
10
10
01
00
00
00
11
10
11
01
00
10
11
11
10
10
00
00
01
00
01
00
10
01
01
10
10
00
11
10
10
10
01
10
01
10
10
00
00
00
10
00
00
00
11
00
01
01
01
01
11
11
01
11
10
10
10
01
01
10
11
01
00
00
10
10
10
00
00
10
01
10
00
00
00
01
10
00
11
00
10
00
10
10
00
00
10
00
00
00
10
10
00
11
00
11
10
00
11
01
10
00
11
10
01
10
10
11
00
10
00
01
00
10
00
11
10
10
11
11
00
10
10
01
00
00
10
01
10
11
00
00
10
01
10
11
11
00
00
10
00
00
11
10
10
01
00
11
10
01
00
11
11
01
00
11
00
01
00
01
10
10
01
00
00
00
11
10
10
00
00
00
10
00
10
10
11
00
00
00
00
10
00
00
10
01
01
10
01
10
10
10
11
00
01
00
11
00
00
11
11
10
00
10
10
11
01
01
10
10
10
01
00
00
10
10
00
10
01
10
00
11
00
01
11
00
10
00
01
00
10
01
10
10
11
00
01
01
10
10
01
01
10
10
10
00
00
01
01
01
00
11
10
01
10
00
10
11
00
10
10
00
00
00
10
10
10
11
01
10
11
11
00
00
01
01
00
10
10
00
10
01
00
10
10
00
10
11
00
00
00
10
00
10
00
00
11
00
01
10
00
10
10
00
00
11
11
01
11
10
00
01
10
00
10
10
00
00
00
00
11
10
01
11
00
10
00
10
10
10
00
01
10
00
01
11
01
01
10
00
00
10
01
00
01
11
00
00
10
00
10
00
00
01
00
11
11
00
01
00
10
10
10
01
00
11
10
00
00
01
00
10
10
10
00
00
00
11
10
01
10
10
00
00
00
01
10
01
00
10
10
11
10
00
00
10
01
01
10
11
10
01
00
10
00
00
10
10
00
01
01
00
10
10
01
10
11
10
11
00
01
10
00
11
10
00
00
10
11
10
00
10
00
01
01
10
10
10
00
11
00
10
11
00
01
00
10
01
10
10
01
10
11
11
00
00
01
00
10
10
00
01
00
11
11
11
10
11
10
11
10
01
10
10
10
01
10
00
01
10
01
00
10
00
01
00
10
10
00
10
11
01
01
10
10
10
01
11
01
11
11
10
11
00
00
10
10
00
10
01
00
00
11
10
01
00
10
00
10
10
00
01
10
11
00
01
00
00
01
10
00
01
10
00
00
01
00
00
10
10
11
00
10
00
10
10
10
00
10
10
10
00
11
01
00
10
00
00
01
00
10
10
01
10
11
10
01
00
00
01
10
00
11
00
00
10
01
11
01
00
11
11
11
10
10
00
00
01
11
10
11
10
00
01
10
11
00
11
00
11
10
00
01
10
11
00
10
11
00
10
11
00
00
10
00
10
00
10
10
00
11
00
01
10
00
10
11
10
00
01
10
11
10
00
00
11
11
00
00
10
10
11
00
01
00
00
11
01
00
10
11
00
10
10
01
01
00
00
10
11
10
10
10
11
00
10
00
00
10
10
10
00
00
10
00
01
10
00
01
10
11
00
01
11
11
11
01
00
11
00
10
10
01
01
01
01
01
11
10
00
10
01
01
10
10
01
00
00
11
00
10
11
10
01
00
11
10
10
11
10
11
00
10
10
11
00
11
10
00
10
00
10
10
10
01
10
00
10
00
10
00
10
00
10
00
10
00
11
11
00
10
01
10
10
10
00
00
11
00
11
11
11
11
11
10
00
01
10
00
01
10
10
11
00
00
10
10
10
10
01
00
01
01
10
00
01
11
00
10
10
10
01
00
10
01
01
00
01
10
00
10
11
00
10
00
01
11
10
11
00
00
10
10
10
10
01
01
00
10
01
11
00
01
00
01
10
10
10
00
11
01
00
11
00
01
11
11
00
00
00
10
11
00
10
00
01
00
00
10
11
01
00
00
11
11
01
10
01
10
00
01
10
00
00
00
10
01
10
10
10
01
10
10
01
00
10
10
00
00
00
10
10
10
11
10
10
00
11
10
00
11
01
00
01
01
11
10
10
10
10
00
00
10
10
11
10
10
11
00
10
01
00
00
10
00
00
10
10
00
11
10
01
01
11
10
10
00
01
00
10
10
01
10
01
11
10
00
00
10
10
10
01
00
10
11
00
10
00
10
11
10
11
00
10
10
00
01
10
10
00
10
00
00
00
10
01
00
10
01
00
00
10
00
10
00
01
10
00
11
10
01
11
10
10
00
01
11
11
00
00
01
11
10
10
10
00
11
10
10
01
00
00
01
01
01
00
11
10
01
10
10
00
00
00
11
11
01
00
10
01
10
10
01
00
10
10
10
11
11
00
01
00
10
01
00
00
00
00
11
00
00
11
11
11
01
00
10
00
11
11
01
01
11
00
11
00
11
01
01
11
00
00
00
10
10
00
01
11
00
00
10
10
10
00
00
00
01
10
00
00
10
00
00
10
10
10
00
10
01
11
00
11
00
10
00
11
10
11
00
01
00
10
00
00
11
10
00
10
10
10
10
00
00
00
11
10
00
00
11
00
01
11
10
00
10
00
00
10
10
00
00
10
10
00
10
10
10
00
01
00
10
01
10
10
11
01
10
00
00
00
00
10
11
10
00
11
11
01
11
11
10
00
01
01
01
11
10
00
00
10
01
11
00
01
10
11
10
11
00
00
01
01
00
10
10
10
00
00
00
11
10
00
10
00
01
10
00
00
00
10
10
00
01
00
00
10
01
10
01
10
10
11
11
10
00
01
10
00
00
10
11
00
00
00
11
00
11
00
01
10
01
11
01
10
11
11
01
01
10
11
00
00
10
01
00
10
10
00
10
10
00
01
10
00
10
10
00
01
10
10
00
10
00
11
00
00
01
01
10
01
00
10
10
00
10
10
10
00
00
00
00
10
01
00
00
00
00
10
11
00
01
01
10
10
00
00
00
11
10
01
00
00
01
00
10
10
10
00
11
10
00
01
00
00
10
00
10
01
01
11
00
10
00
10
11
00
01
01
00
00
10
11
00
10
10
10
01
10
11
10
00
10
11
00
00
11
10
11
10
01
00
10
00
00
10
10
11
01
11
00
00
10
01
10
00
10
11
00
11
11
01
00
10
00
11
00
01
00
10
10
00
10
00
10
10
10
10
00
00
10
01
10
10
00
00
01
10
10
10
10
10
00
00
01
11
00
00
01
11
10
01
10
00
00
10
01
00
10
10
00
01
00
10
10
00
01
01
10
10
10
11
10
01
01
00
00
01
00
10
01
00
11
00
10
10
11
00
11
01
01
00
10
01
01
00
10
10
10
00
10
00
00
11
11
11
10
11
10
00
00
01
10
11
00
00
10
00
00
10
10
01
11
01
10
11
00
00
00
11
01
10
10
00
00
01
10
11
00
10
01
01
10
01
00
10
10
11
10
01
11
10
00
11
11
00
01
10
01
10
10
00
11
01
00
00
10
10
00
11
11
00
01
10
01
11
00
01
10
11
11
00
00
11
11
00
00
10
01
00
10
00
10
11
00
00
00
10
11
11
00
00
10
01
00
01
10
10
10
01
00
01
10
11
01
10
10
11
00
01
10
10
10
00
00
11
11
01
10
10
00
01
10
01
01
10
10
00
00
00
00
10
10
00
10
10
00
00
00
01
11
10
00
10
11
11
01
00
10
10
10
01
00
10
10
10
00
10
00
00
00
10
00
10
00
10
00
11
10
10
10
10
00
10
10
01
10
00
00
11
01
11
01
11
10
00
10
10
00
10
11
00
01
10
00
00
01
11
10
00
01
01
10
10
10
00
00
00
11
10
00
01
00
10
00
01
00
00
10
11
10
01
11
01
01
00
00
11
10
11
10
00
01
00
10
00
11
10
00
00
10
10
01
00
10
10
00
01
00
11
11
00
00
01
10
10
01
00
10
10
01
00
01
01
00
00
11
11
01
01
00
10
00
10
10
00
00
01
11
10
11
00
10
00
00
00
00
10
10
00
00
00
00
10
00
11
10
10
10
10
01
10
11
10
11
00
11
00
01
00
10
11
01
00
10
00
00
10
11
11
01
00
10
00
10
10
00
10
10
00
11
10
01
11
00
10
11
11
10
00
11
00
00
10
00
10
10
11
10
00
10
10
00
10
00
11
01
00
10
11
01
10
11
01
10
00
11
10
00
00
10
11
11
11
00
00
00
10
10
10
10
11
00
00
10
10
10
11
10
01
11
11
10
01
11
10
00
11
00
00
10
11
00
11
11
00
01
11
10
01
00
11
00
01
01
10
00
01
01
00
10
11
10
10
11
11
00
11
00
00
11
10
00
10
11
00
11
11
01
00
10
01
10
11
10
00
01
10
00
01
00
11
10
01
10
10
00
00
10
10
10
00
11
10
11
10
00
10
10
10
00
11
10
01
01
10
10
00
00
00
01
01
11
11
11
00
10
01
00
00
10
10
00
01
10
10
10
01
10
10
01
00
00
11
00
11
10
01
01
00
10
10
00
01
10
11
00
00
10
00
00
11
11
00
11
11
11
10
10
00
01
00
00
10
10
10
01
00
00
10
11
10
10
11
01
00
10
10
00
10
10
10
10
00
01
00
10
00
00
10
00
11
10
00
10
11
00
10
00
00
01
10
11
00
10
10
00
01
01
10
11
10
00
11
01
11
10
00
00
10
10
11
00
10
11
01
00
10
10
10
11
11
10
00
00
10
11
11
00
10
10
10
00
01
10
10
01
11
10
10
10
01
00
10
00
10
10
00
10
00
10
10
10
00
10
11
00
00
00
10
11
00
01
10
00
10
10
10
01
11
01
01
11
10
01
10
01
00
10
10
11
00
01
11
11
00
01
10
10
00
00
10
10
01
00
10
10
11
10
01
11
00
11
11
00
10
11
10
01
10
10
00
00
11
00
01
00
10
11
11
00
00
10
10
01
00
10
10
00
01
01
10
10
00
00
10
10
00
01
00
01
11
00
00
11
10
00
10
11
11
10
00
11
00
01
10
10
10
00
00
10
11
00
10
10
01
10
10
11
10
11
11
00
00
00
01
00
10
00
00
10
11
00
01
01
10
00
00
11
11
00
00
11
10
00
11
10
10
10
01
11
10
10
00
00
10
00
00
00
10
01
00
00
10
01
11
11
00
10
10
00
00
01
11
10
00
10
10
00
01
10
00
10
11
00
10
10
00
10
10
01
11
00
10
01
00
11
00
00
00
10
10
00
01
11
10
10
10
01
00
01
10
01
10
10
00
10
10
00
10
10
01
11
00
10
10
10
00
00
01
00
11
10
11
00
01
01
00
10
10
00
00
10
10
00
00
01
10
10
11
00
00
10
00
00
11
10
10
11
11
01
00
11
10
10
00
00
00
10
11
01
00
10
10
01
00
10
01
10
10
00
10
10
11
00
10
10
00
00
11
10
10
00
01
11
01
10
11
10
00
00
00
10
10
00
10
11
01
10
00
01
01
00
00
10
01
10
01
00
10
01
11
10
11
10
01
01
10
10
10
10
00
01
01
01
10
10
00
11
01
00
10
10
01
10
10
01
00
00
00
10
11
00
00
10
10
01
11
10
00
11
00
10
00
00
10
10
00
11
11
10
10
10
01
11
00
00
10
10
01
00
00
01
10
10
00
00
11
10
00
01
00
11
01
01
10
00
10
00
10
00
00
10
01
00
00
10
10
11
00
01
10
11
00
11
00
10
00
01
11
10
11
10
10
01
00
00
01
01
10
10
00
00
00
11
11
11
00
00
11
00
00
00
11
11
00
00
11
11
11
11
01
01
01
10
11
00
00
10
11
01
01
10
11
10
01
10
11
01
00
10
11
10
00
10
01
11
10
00
00
01
10
00
01
11
10
00
11
01
10
10
00
11
11
00
10
11
00
00
11
01
00
11
10
10
10
11
01
11
11
10
00
01
11
01
00
11
00
00
11
10
00
10
10
00
10
11
00
00
10
11
01
01
01
10
11
00
00
11
00
00
11
10
01
00
01
10
10
10
10
10
00
10
00
10
10
10
10
01
10
00
11
11
01
00
11
00
00
10
10
01
00
11
00
10
11
10
00
00
10
11
00
01
10
01
00
00
11
10
01
00
00
11
10
10
10
11
01
00
10
00
10
00
10
01
01
01
00
10
00
11
00
10
10
00
01
10
10
10
00
01
11
11
10
11
00
00
10
10
10
01
01
01
10
11
10
10
01
10
10
00
01
10
10
10
00
10
01
10
01
00
10
10
10
00
10
10
01
11
10
10
01
10
01
00
10
10
10
11
00
00
10
00
01
00
11
01
00
01
11
01
00
11
10
00
00
10
11
00
10
11
00
00
10
10
01
10
01
10
00
11
00
11
00
11
10
00
01
10
10
00
00
10
00
01
00
11
00
10
11
00
01
10
10
10
10
00
10
11
10
11
00
00
10
00
01
00
10
10
00
11
10
01
00
11
10
00
11
00
10
11
11
00
10
10
11
00
10
11
01
10
00
00
11
10
10
00
00
10
10
10
01
10
10
10
10
11
00
00
11
01
00
00
01
10
00
00
01
00
00
10
11
10
10
10
10
11
10
00
00
00
10
10
10
00
01
00
11
01
01
01
10
10
00
10
10
11
01
10
00
00
10
00
10
10
00
00
11
11
00
01
00
01
11
10
00
00
10
10
00
01
10
10
10
10
11
11
00
01
10
10
11
11
11
00
00
10
00
10
10
10
00
10
00
00
00
10
01
00
10
11
00
11
10
00
10
11
10
00
00
11
00
00
10
01
00
00
00
00
00
10
10
00
10
10
10
11
01
01
00
10
11
00
00
10
00
10
00
01
00
10
10
10
00
00
00
00
00
10
11
00
01
00
00
00
11
01
11
10
11
00
01
00
01
11
01
10
10
00
00
01
11
00
10
00
10
00
11
11
00
01
10
01
11
11
00
11
10
00
00
11
10
00
11
11
10
10
10
00
00
00
00
11
00
10
10
01
00
10
00
00
10
00
00
10
10
10
00
10
00
00
10
01
10
00
10
10
10
01
00
01
10
01
11
10
11
10
01
00
11
10
10
01
01
11
11
00
00
00
00
00
10
10
00
01
11
00
10
11
01
10
10
11
00
10
10
00
10
01
01
11
00
10
10
00
01
10
00
00
00
00
10
00
10
11
00
00
10
11
00
10
10
00
10
01
01
10
11
10
00
00
00
00
10
10
10
10
00
11
00
01
11
11
10
00
00
11
00
11
11
01
01
00
01
00
01
11
00
01
10
10
00
10
10
10
00
00
00
10
10
00
10
10
11
10
00
00
10
00
01
10
10
00
00
10
10
00
00
10
00
10
10
01
10
00
11
10
10
10
00
10
10
01
00
00
10
11
10
11
11
10
10
10
01
00
11
11
01
01
10
10
10
10
00
00
10
11
01
00
00
01
10
10
01
00
00
10
00
00
00
01
11
11
10
10
10
10
00
01
00
01
10
00
10
00
10
11
00
00
10
11
01
01
11
11
10
00
10
10
01
00
10
10
10
01
11
10
11
00
11
00
00
11
11
11
00
00
00
01
01
00
01
10
00
01
10
10
11
11
01
00
00
11
10
00
10
01
01
11
00
11
10
00
01
10
10
00
00
11
00
10
11
00
00
01
00
10
11
10
00
00
01
00
10
00
11
10
01
11
10
10
11
10
00
00
11
11
01
10
01
00
10
00
00
00
10
10
01
10
10
11
01
00
10
10
00
00
01
11
00
01
10
10
00
00
10
00
00
00
00
11
00
10
10
00
01
10
10
11
11
00
00
00
01
01
00
10
10
10
11
01
00
11
00
00
00
10
10
01
00
10
00
10
11
11
10
01
00
10
00
11
01
11
01
00
01
10
10
11
10
00
11
10
01
10
00
00
10
01
00
10
10
10
10
10
00
10
11
11
10
01
01
01
11
01
00
01
01
00
11
10
01
00
01
11
10
00
10
10
11
11
00
11
00
10
11
00
01
00
00
10
11
10
00
11
10
01
00
00
01
01
11
11
11
10
11
00
01
00
01
00
11
00
11
11
11
10
00
11
00
11
01
10
11
10
00
00
10
10
10
00
00
10
00
00
00
10
10
01
01
00
01
00
10
11
10
10
00
10
10
10
10
11
11
01
11
00
01
00
10
00
10
10
00
01
00
11
10
00
10
11
01
00
00
10
10
10
01
01
00
10
00
01
10
11
11
10
11
00
01
11
01
01
10
10
00
10
10
01
00
11
10
10
10
11
01
11
00
11
10
00
11
00
01
11
00
01
00
00
10
00
00
01
10
11
10
11
00
00
00
10
10
10
01
00
11
11
00
10
00
01
00
11
11
11
00
01
00
01
11
10
01
00
00
10
00
00
10
10
01
01
10
10
00
10
01
01
10
01
10
00
01
11
01
00
01
11
00
11
10
10
11
10
00
00
00
10
10
00
00
10
01
00
10
11
01
10
00
00
00
00
01
00
11
10
00
11
10
10
00
00
10
00
00
10
00
10
10
11
00
10
11
00
10
00
00
10
11
00
01
10
11
01
10
10
10
10
00
11
10
10
00
01
00
01
10
11
11
00
00
11
11
00
00
10
11
10
00
00
01
10
10
00
01
11
00
00
10
01
10
00
01
10
10
01
10
11
00
10
10
01
10
11
00
00
01
10
00
10
01
00
11
00
00
10
10
10
00
01
10
00
01
00
10
00
10
11
11
00
00
10
10
10
00
10
11
00
00
00
10
10
10
10
01
00
10
10
10
00
01
00
01
00
10
11
01
00
01
10
10
00
11
00
10
10
00
00
11
00
01
10
10
10
00
00
10
00
10
01
10
00
00
11
10
10
11
00
11
10
00
00
10
10
00
10
10
01
01
10
11
00
10
00
00
00
11
11
11
10
00
01
00
11
10
10
11
01
00
01
00
10
00
10
00
10
10
00
00
00
00
00
11
10
00
00
00
10
10
10
00
01
01
00
00
11
11
01
10
00
00
00
01
00
10
10
00
01
00
10
00
10
01
00
11
00
00
00
01
11
11
00
00
10
11
10
10
00
00
00
00
11
10
10
01
10
11
00
00
10
10
01
11
11
00
01
01
10
10
00
01
00
10
11
10
10
00
10
10
00
00
10
00
10
00
00
00
10
01
10
10
10
00
01
10
00
01
10
10
00
00
10
00
10
10
00
01
01
00
10
00
10
00
00
00
10
01
00
11
00
10
00
01
10
01
01
10
01
10
11
00
10
01
10
00
00
00
01
10
00
00
00
10
11
00
11
11
00
01
00
00
11
01
00
10
10
01
00
01
00
10
11
00
10
10
10
01
00
01
11
10
00
10
00
00
11
10
00
00
10
10
10
10
00
10
10
10
00
00
10
00
00
00
00
01
01
10
00
01
10
01
11
11
00
01
00
10
10
01
01
00
10
11
00
00
00
11
10
01
00
11
00
10
00
01
00
11
11
01
00
10
00
10
00
01
01
11
10
01
10
00
11
00
00
11
10
00
00
00
10
11
00
00
00
00
10
11
00
00
00
00
11
00
01
00
11
10
10
10
10
11
00
01
10
01
10
00
10
11
00
10
10
01
11
11
01
10
00
00
10
00
10
11
00
11
10
10
10
00
01
01
10
10
00
10
11
11
00
01
10
01
10
01
01
01
10
11
10
00
10
10
00
11
10
00
10
00
10
11
11
01
11
10
00
10
11
00
10
10
10
11
00
01
10
01
00
10
00
10
11
01
00
00
01
10
10
10
00
10
11
01
10
00
10
00
10
11
11
01
10
10
00
01
11
11
11
11
10
00
00
10
11
00
00
11
10
01
01
00
00
00
10
00
01
10
00
11
10
10
01
10
11
00
00
00
00
10
00
10
10
01
11
10
00
11
10
10
11
00
00
11
11
00
10
10
01
10
01
11
00
00
11
10
10
10
10
00
00
00
10
11
11
00
01
11
11
01
10
00
10
10
00
01
10
10
00
00
00
01
01
00
10
10
01
10
11
01
10
10
01
10
01
00
10
10
00
00
00
10
01
00
11
11
10
00
10
00
00
11
10
11
01
01
01
01
10
01
01
10
01
10
10
00
10
10
10
00
00
10
10
10
10
01
00
10
10
10
10
01
01
10
00
01
10
10
10
00
00
00
10
01
10
00
00
10
01
11
10
10
00
00
10
10
11
01
01
10
00
11
10
00
00
10
11
01
00
10
10
10
10
00
10
11
10
01
00
00
10
10
10
10
01
10
00
10
01
10
10
11
00
11
10
11
11
01
00
00
10
11
01
10
10
10
00
10
10
10
10
00
00
01
00
00
11
00
00
10
11
00
00
11
01
10
11
01
00
01
10
11
10
00
01
00
11
11
00
01
00
11
00
10
11
11
01
00
10
10
01
00
11
10
00
00
10
11
10
00
10
00
10
10
01
10
10
00
01
11
00
01
00
01
10
10
00
00
01
10
11
01
01
10
10
00
10
01
00
01
11
10
01
10
00
00
10
01
11
00
00
10
00
10
00
00
01
00
10
10
11
00
01
10
11
00
01
10
00
00
10
11
01
11
10
00
00
01
10
00
00
11
11
10
11
11
01
10
11
00
01
00
01
10
10
01
00
10
00
00
10
10
01
00
10
00
10
00
10
00
00
10
10
01
00
10
10
11
10
00
10
10
11
00
11
01
00
11
10
00
11
00
10
00
00
10
01
10
11
00
00
11
10
11
10
10
01
00
10
01
11
10
10
00
00
01
10
10
10
11
01
01
10
10
01
00
00
00
00
10
00
11
00
01
10
11
01
10
01
10
00
10
11
01
11
11
00
01
10
10
11
11
10
00
00
10
11
10
00
00
11
10
01
10
10
11
00
11
00
10
10
10
11
10
00
01
00
11
10
10
00
10
10
10
10
10
10
00
10
00
10
01
00
01
01
10
10
00
01
11
00
01
00
11
10
11
01
01
11
10
00
00
11
00
01
11
11
10
10
10
00
11
10
01
10
10
00
10
11
01
10
10
11
01
01
11
00
11
10
11
00
11
11
00
01
00
00
11
10
00
10
10
00
00
10
10
01
10
10
11
00
01
11
11
00
10
01
00
10
11
01
01
11
01
10
00
10
10
00
01
10
10
01
00
10
11
10
11
10
00
00
00
10
01
10
10
10
00
10
00
10
10
00
10
10
00
11
01
00
00
10
11
11
00
01
01
00
00
01
10
01
10
10
00
00
00
00
10
00
00
11
10
10
10
00
00
00
10
10
00
00
01
10
11
01
00
10
10
10
00
11
00
10
10
10
10
00
01
10
00
00
00
11
10
00
11
00
00
00
11
10
10
10
10
00
01
11
00
00
11
01
00
10
10
01
10
00
00
11
10
11
10
00
11
00
10
10
00
01
00
10
00
10
10
10
10
01
10
10
11
10
01
00
00
10
10
00
01
11
11
11
10
10
10
10
00
00
10
10
00
00
11
10
10
00
10
01
10
10
01
00
00
00
10
01
00
10
10
10
00
01
00
01
10
11
11
00
11
10
00
00
11
11
00
01
10
00
00
01
10
11
00
00
00
01
01
00
11
10
00
00
11
11
00
10
00
10
11
00
00
10
10
00
00
10
10
10
10
00
00
00
00
00
00
10
10
10
10
10
01
11
10
00
10
00
00
10
10
00
10
00
00
00
01
10
01
11
01
11
11
10
00
01
10
00
00
10
10
01
10
11
10
10
00
00
00
01
01
10
11
10
10
00
00
10
00
00
10
11
01
01
10
01
01
11
01
10
11
01
10
10
00
00
10
10
00
01
10
01
11
01
10
10
11
11
10
10
00
00
00
10
11
00
01
01
00
10
11
11
10
11
11
10
00
01
00
10
00
00
10
11
00
00
00
10
01
10
10
11
11
11
00
11
11
01
00
00
00
00
01
10
11
01
00
00
01
00
11
10
10
10
01
00
11
10
01
00
10
00
01
10
01
01
10
11
00
00
11
01
01
11
00
10
10
00
00
10
10
00
10
00
10
01
00
00
01
11
00
00
01
11
00
11
10
00
00
10
01
10
01
00
11
10
00
00
00
10
11
00
00
11
00
10
10
10
00
10
11
00
10
01
00
00
11
10
01
10
00
00
01
10
11
11
00
11
10
11
10
10
00
00
00
11
10
00
10
10
00
10
00
10
10
00
01
00
11
00
10
10
01
10
11
00
01
00
11
10
10
00
00
00
00
10
11
10
11
10
00
01
01
01
00
00
10
10
00
00
00
11
00
01
00
10
10
00
00
00
11
10
10
10
01
10
01
00
11
10
10
01
01
10
00
11
10
11
00
01
00
10
10
10
11
00
01
10
00
10
01
01
10
10
10
11
01
10
11
00
11
10
00
00
00
10
11
11
01
00
11
10
00
10
01
10
10
00
10
00
00
00
10
10
10
00
10
10
00
00
01
11
00
11
01
00
01
00
11
01
01
11
10
11
10
00
10
10
00
11
00
01
10
10
01
01
10
01
01
10
10
01
00
11
10
10
00
00
10
11
11
00
10
11
11
10
10
00
10
00
00
11
00
10
10
10
01
00
10
00
10
10
01
10
00
11
10
11
00
10
10
10
10
00
10
10
10
10
11
10
10
00
00
00
10
10
10
01
01
01
00
10
11
00
01
10
10
11
10
01
11
10
00
11
10
00
01
11
10
10
01
11
01
10
01
00
01
00
10
11
00
01
00
00
10
00
00
00
10
11
10
11
01
01
10
01
00
11
00
01
10
01
00
11
00
00
00
10
00
10
10
00
00
00
10
01
10
00
00
10
10
10
10
01
00
01
10
00
11
11
11
00
10
10
11
00
00
11
10
00
00
11
10
10
00
00
00
10
01
00
00
01
11
10
11
00
10
10
01
11
10
01
01
01
01
11
10
11
00
00
10
11
00
01
10
10
11
10
01
01
10
10
00
10
10
10
00
00
10
10
00
01
00
11
10
10
10
01
10
10
10
01
01
11
00
10
00
00
11
01
00
10
00
00
00
00
10
11
00
01
01
11
00
10
00
00
11
10
11
00
00
01
00
01
01
00
11
00
01
00
01
11
00
10
11
00
00
10
10
10
01
10
11
10
00
00
10
00
00
10
10
11
10
01
10
10
01
10
00
01
10
11
00
01
10
10
01
00
10
01
10
11
01
11
00
00
10
10
00
00
00
10
11
10
11
00
10
11
00
10
01
00
00
00
00
10
00
01
10
00
00
10
10
11
10
01
10
00
00
00
11
10
00
01
10
11
00
10
00
10
01
00
11
01
00
10
10
00
00
11
10
10
00
10
11
11
01
00
10
11
01
00
11
10
00
00
00
10
10
00
00
00
00
01
10
10
10
10
10
10
01
00
00
00
10
11
10
01
10
01
11
01
11
01
10
11
00
01
00
10
10
00
10
11
10
00
11
10
01
10
10
01
10
10
00
11
10
00
10
00
10
10
00
10
01
11
11
01
00
11
10
01
11
11
00
10
10
01
01
11
00
00
10
11
00
00
00
11
10
10
00
10
01
01
00
11
00
10
10
01
10
00
01
11
00
11
00
00
00
00
11
11
00
00
10
10
00
00
11
01
00
11
00
11
11
11
10
00
10
10
00
00
00
01
00
10
01
10
11
00
10
00
11
10
00
01
10
10
01
01
10
00
11
00
10
10
01
10
11
11
01
11
00
10
10
00
00
11
01
00
00
10
00
10
10
01
10
10
00
00
11
00
00
10
10
10
00
10
10
01
10
00
01
10
00
10
10
00
00
00
10
10
10
11
01
01
01
10
00
00
11
00
11
00
00
00
01
10
00
11
10
10
10
10
00
00
10
10
00
01
00
00
10
10
00
10
00
01
00
10
10
10
10
10
01
01
10
10
11
00
00
10
00
00
10
11
10
11
01
00
10
00
11
10
01
01
11
00
00
10
00
00
10
11
01
01
10
11
11
11
10
00
00
10
00
11
10
00
00
10
00
10
10
10
11
10
11
10
01
10
11
00
00
10
11
11
01
00
00
10
00
00
10
10
00
01
01
00
00
00
10
10
01
01
11
00
01
10
11
11
10
00
01
00
10
00
00
01
00
11
01
00
01
00
10
10
00
00
10
11
01
01
10
00
01
00
10
10
00
01
10
01
00
10
10
11
00
10
10
01
11
10
00
00
11
01
01
11
10
11
01
11
10
10
10
00
00
10
00
00
10
00
11
00
01
10
11
11
10
11
01
11
01
11
10
10
00
01
00
00
11
00
10
10
11
01
10
11
00
10
00
00
10
11
01
00
11
11
00
00
00
00
10
01
01
10
00
00
00
00
10
01
10
01
11
01
01
00
00
11
11
11
00
10
01
10
00
00
10
10
10
10
11
01
00
00
01
10
10
10
00
00
10
10
00
10
11
11
11
00
00
11
11
01
11
00
00
00
10
10
01
01
11
10
01
10
10
00
10
01
10
00
00
01
00
01
10
00
11
11
01
00
11
10
00
00
10
01
10
10
00
00
01
10
10
01
00
11
10
10
01
10
10
00
10
10
11
01
10
10
01
11
01
01
11
00
01
01
00
10
00
00
00
11
10
01
00
00
00
11
11
10
10
10
00
00
00
10
10
01
00
10
11
11
00
11
01
00
00
11
01
01
10
10
10
00
00
11
10
01
00
00
01
00
11
11
00
00
10
11
00
11
01
10
00
00
00
01
10
10
10
00
10
00
01
10
01
01
11
01
00
10
10
10
00
10
10
00
11
01
00
01
00
01
10
00
10
10
00
00
00
11
11
00
00
01
10
01
00
10
11
00
01
00
00
10
10
10
00
01
11
11
00
00
01
00
00
10
00
10
01
00
10
10
01
00
01
11
10
10
11
00
01
01
10
10
10
00
01
00
01
00
00
10
11
10
00
10
10
00
01
01
10
10
00
00
10
00
00
10
10
10
01
10
11
10
10
10
00
10
11
01
00
00
00
01
10
10
10
00
01
00
10
00
10
11
10
01
10
11
10
10
00
00
00
10
00
00
10
10
10
00
11
00
01
00
10
00
01
10
10
11
00
00
00
10
10
10
01
00
10
01
00
00
00
10
10
01
10
10
10
00
10
00
10
10
00
10
11
01
01
00
01
00
00
10
10
01
00
10
10
10
10
11
00
10
10
00
00
00
11
00
10
11
10
00
10
10
00
11
11
00
11
00
11
01
00
10
10
00
00
11
11
01
00
10
10
10
11
11
01
00
01
01
11
10
00
00
11
10
00
00
10
10
00
01
00
11
10
01
01
00
11
11
01
00
01
10
01
11
11
00
00
01
11
01
00
10
10
11
11
00
10
00
10
11
00
10
01
00
10
01
00
10
11
01
10
10
01
01
10
00
10
10
01
00
10
10
00
00
00
11
10
10
00
00
10
00
00
10
00
10
01
00
10
10
11
10
01
10
10
10
01
00
00
11
10
10
01
11
01
00
10
01
10
00
01
10
10
10
00
10
10
11
00
00
10
10
01
01
11
11
00
10
00
10
11
01
10
10
10
01
10
01
00
00
01
10
10
10
00
11
10
10
01
01
11
10
10
01
10
01
00
10
10
10
00
11
10
00
01
10
01
01
00
00
10
10
10
01
00
11
00
00
00
00
10
10
00
00
11
00
10
10
10
11
00
01
10
10
10
11
10
00
00
10
00
00
01
11
00
00
10
10
10
00
10
10
10
00
00
10
11
10
00
01
10
00
10
01
10
11
00
00
10
00
00
10
10
01
10
10
00
11
00
10
00
10
01
01
00
01
01
01
00
00
00
00
10
10
10
00
00
00
10
10
00
10
10
10
11
01
10
00
11
10
10
10
10
10
00
00
11
10
01
00
11
00
10
00
11
10
10
11
00
00
11
10
10
01
10
11
10
01
10
00
11
10
00
11
10
00
11
10
10
10
10
00
10
00
00
01
10
10
00
01
10
10
11
11
11
01
00
11
11
01
01
10
11
11
01
00
11
10
00
00
00
00
00
10
10
00
10
10
00
10
00
00
11
10
11
01
10
10
10
10
01
00
10
10
10
00
10
00
11
00
11
10
10
10
01
01
11
10
00
11
10
10
00
00
11
00
10
10
01
11
11
10
01
01
01
00
11
01
10
10
00
00
11
10
01
01
10
10
10
01
11
01
01
10
11
00
10
10
01
00
10
11
01
10
10
11
01
00
10
00
10
10
10
11
10
00
00
11
00
00
11
00
10
01
01
10
01
01
10
10
10
10
01
10
01
00
10
10
00
10
01
10
10
10
00
10
00
11
01
10
01
00
10
00
00
10
00
01
11
00
10
10
01
01
11
10
00
00
10
11
00
11
10
01
00
00
11
10
00
10
10
10
01
00
00
00
00
00
01
00
11
00
10
10
11
00
00
01
10
01
00
01
00
01
11
11
11
10
10
00
10
11
01
00
11
11
00
11
01
00
11
10
00
01
01
11
11
00
11
01
00
10
01
11
00
10
10
00
00
10
11
00
00
10
11
11
10
00
00
01
10
11
00
00
01
11
11
00
00
00
10
10
11
11
10
10
10
00
00
00
10
10
10
00
11
11
10
01
00
00
00
00
00
10
10
00
10
00
01
10
00
00
00
00
00
00
10
01
10
00
00
10
00
01
11
10
00
11
00
00
10
00
10
10
10
00
11
00
00
10
00
00
01
11
10
10
01
00
10
10
01
10
10
11
00
00
01
00
00
01
00
00
00
10
10
10
00
10
10
10
00
10
00
01
10
10
01
01
00
10
10
01
01
00
10
00
00
01
00
11
00
01
11
00
10
01
00
10
00
00
10
00
10
10
11
01
10
00
00
10
11
01
00
11
01
01
00
00
10
10
00
11
10
00
00
00
11
01
10
10
11
10
00
01
10
00
00
00
00
11
10
00
10
10
01
00
10
10
00
00
10
00
00
01
00
10
00
11
00
10
10
10
10
11
00
00
10
10
10
10
11
00
10
10
00
00
00
11
01
11
10
00
10
10
10
00
00
11
10
00
00
11
11
00
01
00
10
10
11
00
10
01
01
01
11
10
01
00
11
00
01
10
10
00
01
10
10
11
11
10
11
10
11
00
11
11
00
10
11
00
00
10
11
01
00
11
10
11
00
00
10
00
01
00
01
10
10
00
00
10
01
00
10
10
01
10
01
01
10
00
00
11
00
11
11
01
00
11
10
10
11
10
00
01
10
11
10
10
00
10
11
10
00
01
11
10
10
10
00
11
10
01
11
00
00
10
00
10
01
01
11
00
10
11
01
00
11
10
01
10
00
00
11
11
00
10
11
10
10
00
00
01
10
00
00
10
10
00
10
10
01
10
00
00
01
00
00
00
00
00
10
10
00
11
01
00
10
10
10
00
10
00
01
11
10
11
11
00
00
10
10
00
00
10
11
01
00
01
00
00
10
00
10
00
11
10
00
01
11
10
00
00
00
01
10
00
00
01
00
10
11
00
11
10
11
01
01
01
10
00
00
10
11
00
00
10
10
00
00
10
10
00
10
10
10
01
11
00
00
10
00
10
10
00
00
11
10
11
10
00
10
10
10
10
10
00
00
11
00
00
11
10
00
00
01
10
10
00
00
01
01
01
10
01
01
00
10
11
00
10
00
10
10
00
01
10
01
10
11
00
10
10
10
00
10
10
01
01
10
11
00
10
11
00
01
01
00
10
11
01
10
11
00
00
01
11
11
10
01
10
10
01
01
01
10
11
01
11
10
11
00
00
10
01
01
01
10
10
10
11
00
01
11
11
10
00
10
10
10
00
10
10
00
10
10
00
01
10
01
00
01
10
00
10
10
10
00
00
00
10
10
00
11
11
10
00
10
10
00
00
11
10
10
01
10
11
11
10
01
10
00
10
01
01
11
10
00
00
11
01
01
10
10
01
01
10
11
01
00
00
00
10
00
10
11
00
10
00
11
00
01
11
10
11
00
10
01
11
00
10
00
10
01
01
10
01
01
10
00
00
11
11
10
00
00
00
00
00
10
10
00
10
11
10
00
01
01
11
10
00
00
10
10
00
00
11
10
10
10
10
10
01
00
10
00
01
00
11
10
11
10
00
00
11
00
00
11
11
10
10
00
01
11
00
00
11
00
00
00
10
10
10
00
11
00
00
11
10
01
00
11
00
01
11
10
10
00
00
00
10
10
11
10
11
01
11
00
11
00
01
10
10
00
00
00
11
10
00
00
10
00
00
01
01
11
10
00
11
10
10
10
10
10
10
00
11
00
00
00
00
10
10
00
01
10
10
10
10
01
10
00
10
00
00
11
00
00
11
01
11
11
01
10
00
01
01
11
10
00
10
01
11
10
01
00
10
10
00
01
00
00
10
10
00
10
11
10
00
00
10
10
00
01
10
10
00
10
00
11
10
00
10
11
10
11
10
10
11
10
00
01
10
11
10
01
01
11
10
00
11
11
00
00
00
00
10
10
01
10
11
00
10
10
10
00
10
10
11
11
10
00
11
10
00
10
00
10
00
10
11
10
10
00
00
00
10
01
11
10
01
00
01
10
01
00
11
11
01
10
11
00
00
01
10
11
00
11
10
01
00
01
00
10
00
01
00
10
01
00
00
10
10
01
10
11
00
11
10
00
10
00
11
10
10
10
00
10
00
10
01
00
10
00
11
10
10
10
01
00
10
01
00
00
11
10
00
11
11
00
10
01
00
00
01
10
00
00
10
10
10
00
01
11
01
00
01
00
00
10
11
10
00
11
00
10
00
00
10
10
10
01
01
10
10
01
11
00
01
00
10
11
00
01
10
00
01
10
11
11
10
01
11
10
00
01
10
11
10
00
00
11
11
10
00
01
11
11
10
00
10
00
10
00
00
10
10
00
00
10
00
00
00
10
00
00
10
10
00
00
11
00
10
11
11
10
00
11
10
01
00
01
00
10
01
10
10
01
00
00
10
10
10
00
00
10
11
00
00
00
00
00
10
10
01
00
00
11
10
01
10
10
10
11
11
11
01
00
10
11
00
11
10
01
00
11
01
01
10
10
10
00
10
10
10
00
00
10
11
00
11
00
10
00
10
11
01
00
10
10
00
00
10
10
10
00
11
01
00
10
10
11
11
10
00
10
00
00
11
10
00
01
11
11
11
11
10
00
10
11
00
00
11
11
01
00
01
10
01
00
00
00
10
10
00
00
10
10
10
10
00
10
11
00
00
00
10
10
11
01
10
01
00
11
00
00
10
00
11
10
01
10
00
01
10
01
10
10
10
00
10
10
01
00
00
11
00
11
00
01
01
10
10
10
10
00
10
11
10
11
00
00
01
00
00
10
00
00
00
10
11
10
01
00
00
11
10
00
01
00
10
00
00
10
10
11
01
01
11
11
10
00
00
00
10
10
01
00
10
11
10
00
00
10
10
01
10
10
10
00
00
00
10
01
10
10
10
11
00
10
11
10
10
00
10
00
01
01
10
00
00
10
10
10
00
00
10
01
11
10
00
10
01
00
10
01
00
10
00
10
01
11
10
10
11
00
11
01
01
10
00
00
00
10
00
01
11
00
11
11
10
10
01
00
00
01
11
11
10
01
00
10
00
00
11
10
01
00
11
00
11
00
00
11
10
10
00
10
11
01
10
01
11
10
00
01
00
01
00
10
01
00
01
00
11
11
11
01
01
10
10
00
11
00
11
10
00
00
10
11
10
01
00
01
11
11
00
00
10
11
11
00
00
10
10
00
10
00
11
10
00
01
00
00
00
10
11
01
00
11
01
00
00
00
11
00
00
10
11
00
11
00
00
01
11
00
10
00
00
10
11
00
00
00
10
10
01
01
10
10
10
11
11
10
01
00
00
10
00
10
10
00
01
10
10
10
10
10
10
00
10
11
10
00
11
00
10
10
01
00
01
00
01
01
00
10
10
10
10
10
00
11
10
00
00
10
10
11
00
00
10
10
01
11
10
00
11
00
01
01
01
10
10
10
00
10
11
00
00
00
10
10
00
10
10
00
00
01
01
10
01
11
00
10
00
00
11
00
00
00
11
01
00
00
01
00
10
11
11
10
11
00
00
10
00
11
10
00
10
00
10
10
00
11
10
10
00
00
01
00
10
11
00
01
10
10
11
10
11
00
01
10
10
00
10
01
00
10
11
11
00
00
10
01
10
10
01
01
00
00
10
10
11
00
01
10
10
10
11
10
00
11
11
01
10
00
01
11
11
11
01
00
01
10
10
11
00
10
00
11
10
11
10
00
10
10
00
00
01
10
11
01
01
10
00
00
11
00
00
01
01
10
00
10
10
00
10
10
01
01
10
10
10
10
00
11
11
00
10
11
10
10
11
10
00
00
11
10
10
00
01
11
01
01
10
10
00
01
01
00
11
00
01
10
00
00
01
00
01
00
11
10
00
01
11
00
10
01
00
00
00
10
11
10
00
01
00
00
01
10
00
11
11
10
00
01
10
11
00
01
00
10
10
00
00
10
10
00
01
10
01
01
01
11
10
10
00
11
10
01
01
10
10
00
01
10
10
00
10
00
00
10
01
10
10
10
10
11
11
00
00
10
00
01
10
11
11
01
10
01
00
11
11
01
10
11
00
00
11
00
10
11
00
01
11
10
00
00
10
00
10
10
00
10
10
00
10
10
11
01
00
00
11
10
01
10
00
00
00
11
00
11
10
10
01
10
10
10
00
00
10
00
00
11
11
01
00
11
00
00
10
01
00
10
10
00
01
10
11
01
01
01
10
11
00
01
11
00
00
10
10
00
10
11
10
00
01
10
11
00
00
01
10
01
10
00
01
00
10
10
00
10
11
00
00
10
10
01
10
00
01
00
00
11
01
00
11
10
10
01
00
10
01
00
11
00
01
01
10
10
00
00
11
10
00
11
10
10
10
10
00
00
10
10
00
00
00
00
00
00
00
10
10
10
00
10
10
00
00
10
10
10
10
10
01
01
00
11
10
01
10
11
01
01
01
10
11
01
00
10
00
00
11
10
01
00
11
10
11
00
10
10
11
01
10
10
00
01
00
00
00
10
10
00
00
11
00
00
00
10
11
01
10
10
11
01
00
00
10
00
11
00
01
10
00
01
10
01
00
00
01
00
10
10
10
00
10
00
10
00
11
10
00
00
01
01
00
00
10
00
00
11
11
00
10
10
01
10
00
11
01
01
10
01
10
01
00
11
00
00
10
11
11
10
00
01
00
01
00
10
01
00
10
01
10
11
10
01
11
00
00
00
00
10
11
10
11
00
10
00
11
00
00
00
10
01
01
00
00
10
10
01
00
10
00
10
10
11
10
00
00
00
00
11
11
11
10
01
00
10
11
00
00
11
11
01
10
10
10
10
00
10
11
01
11
10
11
00
01
10
10
11
00
01
10
10
00
00
00
00
10
11
01
10
10
01
11
00
00
11
00
10
11
00
00
00
01
10
10
01
00
00
00
11
10
11
00
00
00
00
11
10
10
01
10
11
10
00
10
01
10
10
10
10
10
00
10
01
00
00
10
01
00
10
10
10
10
01
10
11
00
10
00
00
01
11
00
01
00
01
01
11
10
00
00
10
00
11
00
01
10
00
00
10
10
01
00
10
00
10
00
00
01
10
10
00
00
10
10
01
01
11
11
10
00
10
11
00
10
10
01
11
11
00
01
11
00
00
11
01
00
00
11
10
10
11
01
00
11
01
10
11
01
10
00
10
10
11
10
00
11
10
00
00
00
01
10
00
01
00
01
00
11
10
11
00
10
10
10
00
00
01
10
11
01
11
01
10
10
00
00
00
00
11
10
00
00
10
00
00
01
00
11
11
00
00
10
01
01
11
00
00
10
00
00
11
10
01
10
11
01
01
11
00
00
10
01
00
00
00
10
10
10
00
00
01
01
01
00
01
11
00
01
10
10
10
00
00
00
10
11
00
01
00
10
01
00
11
00
10
11
10
00
00
00
11
10
10
00
10
11
00
11
01
00
00
11
10
01
00
11
00
10
10
10
10
01
01
10
00
11
00
10
10
00
00
10
11
10
00
10
00
00
01
10
11
11
00
10
00
11
00
00
01
10
00
10
01
00
10
10
10
00
01
00
00
10
10
11
01
11
01
10
00
00
00
01
10
00
10
11
11
11
10
11
00
10
10
10
01
01
11
10
11
00
00
00
11
01
00
11
10
10
10
11
00
01
10
10
00
01
00
00
00
11
10
10
00
00
11
10
10
00
10
10
01
01
00
10
10
00
10
00
00
11
10
01
10
10
10
00
00
10
10
01
10
00
00
10
10
01
00
10
10
10
10
10
00
00
10
01
10
01
10
10
11
10
00
00
10
10
01
01
00
11
00
10
00
00
10
10
11
00
00
00
11
11
10
10
01
10
10
10
10
00
10
00
00
10
01
10
10
10
00
00
10
10
10
00
01
00
00
00
11
01
10
10
00
10
10
00
11
00
01
11
10
11
10
00
00
10
10
00
01
10
10
10
00
00
10
01
00
10
00
01
11
10
10
00
10
00
11
10
11
00
10
00
01
10
00
10
10
10
00
10
00
00
11
10
10
00
10
00
10
10
01
01
10
11
10
10
01
10
11
10
01
11
00
01
11
01
01
10
00
10
00
10
10
01
01
01
10
00
00
00
11
00
11
11
10
00
10
10
10
01
00
11
10
01
00
00
01
01
00
10
10
01
11
00
01
10
00
10
00
01
10
01
00
01
00
01
10
10
10
00
10
10
01
01
00
10
10
10
01
00
01
10
11
11
10
00
10
00
00
01
10
10
00
11
10
01
01
11
10
01
00
01
10
01
01
11
00
10
10
00
00
10
11
01
11
11
10
00
01
01
10
10
00
10
00
01
10
10
01
11
00
10
11
10
00
00
00
00
01
00
10
00
01
00
00
00
10
10
01
01
00
10
00
11
01
10
10
00
00
01
00
10
00
00
00
00
01
11
00
00
11
00
01
10
10
00
01
11
10
11
00
10
01
10
11
10
00
10
11
00
00
11
10
00
01
00
00
00
01
10
01
00
11
10
01
10
01
00
11
10
00
00
10
00
11
10
00
10
01
00
11
10
11
01
00
10
00
00
10
00
00
10
00
11
10
11
00
01
11
10
11
00
00
00
01
10
10
00
00
10
01
10
10
11
10
00
00
00
10
00
01
10
10
01
11
11
00
10
10
10
11
10
00
10
11
00
10
10
00
00
10
00
11
01
00
11
00
10
10
01
11
10
00
00
00
00
10
00
01
01
11
00
01
00
10
10
10
10
00
00
10
01
01
10
00
00
01
00
10
01
10
00
01
00
10
01
10
10
10
11
00
10
10
10
11
01
10
00
00
11
00
01
10
01
01
01
01
10
10
00
00
10
01
00
10
00
00
00
00
11
00
00
00
10
10
10
00
10
00
00
10
01
01
11
00
00
01
00
11
10
11
10
10
00
00
01
10
01
10
11
00
01
10
01
10
10
00
01
01
10
10
00
01
01
01
10
10
00
00
00
11
00
01
10
11
10
11
00
01
10
10
00
00
01
10
00
10
10
10
11
11
01
01
00
00
11
00
10
01
00
10
10
11
10
00
11
01
00
01
00
10
00
00
10
00
00
10
11
00
01
00
00
10
00
10
11
10
01
00
10
00
00
10
00
01
10
00
00
10
10
00
00
10
00
01
01
00
00
01
11
11
01
11
00
00
11
11
00
00
01
01
00
00
11
10
00
00
00
00
01
11
10
00
01
00
10
00
01
11
10
10
00
11
10
01
10
11
00
01
10
10
00
00
01
01
01
11
01
01
00
01
10
00
10
11
01
01
10
10
10
00
10
01
00
11
11
10
10
00
01
01
11
10
10
01
00
10
10
11
00
01
00
00
10
11
10
00
01
11
00
01
00
10
10
00
00
10
00
00
10
10
11
00
10
10
10
11
10
01
11
00
10
01
00
10
10
01
01
00
10
10
10
10
00
00
01
10
10
11
01
10
00
10
10
11
11
00
01
11
11
10
10
10
01
01
11
00
01
10
10
00
00
11
10
01
00
10
11
10
10
01
10
10
10
10
11
10
10
00
00
00
10
00
00
01
00
11
11
10
11
10
10
00
11
10
01
00
10
00
00
11
00
11
10
00
00
00
10
10
00
00
10
01
00
11
00
01
00
00
00
10
10
00
00
10
10
10
11
00
00
11
11
00
00
10
01
01
00
00
10
01
01
10
10
01
00
10
00
00
01
00
00
10
10
10
10
10
00
10
11
00
00
10
10
00
00
00
11
00
00
11
00
10
11
10
10
00
01
10
11
10
00
10
10
00
11
11
00
01
10
00
10
10
00
01
10
10
10
11
10
01
00
00
10
00
10
00
00
10
01
11
00
01
01
00
11
00
00
11
01
01
01
10
00
01
00
10
00
00
10
01
10
00
01
10
11
00
10
00
00
01
00
11
01
00
10
10
10
10
00
00
10
00
11
00
01
01
10
10
00
11
00
10
10
00
00
01
10
10
10
11
00
10
10
10
10
00
01
10
01
00
01
11
11
10
10
00
01
10
10
10
01
01
01
10
11
01
00
00
11
11
01
10
10
01
10
10
10
10
01
00
00
00
01
11
01
00
11
11
10
00
00
10
11
11
00
01
11
11
01
00
01
00
10
10
00
00
11
00
00
11
10
10
00
00
10
10
10
00
00
11
10
10
10
00
01
10
01
10
01
00
01
00
00
11
11
10
00
10
10
11
00
01
11
00
11
10
01
10
10
00
00
11
10
00
01
01
10
11
11
10
10
00
00
01
11
11
10
00
01
10
00
00
11
00
00
11
00
00
11
00
11
10
00
10
11
10
01
00
11
00
00
00
10
00
00
10
00
10
00
10
00
00
00
10
10
00
10
00
01
10
01
10
11
00
10
11
10
00
10
01
11
10
00
10
11
10
00
00
10
10
01
11
10
01
10
11
01
00
01
00
00
01
00
10
01
10
10
01
00
10
11
10
10
00
11
10
00
01
00
10
11
10
01
00
00
10
11
00
00
11
10
10
00
11
00
10
11
00
10
00
00
00
00
01
10
10
10
11
00
00
10
00
10
10
10
10
11
00
01
10
00
00
00
10
00
00
11
11
01
01
11
01
00
10
00
00
10
10
10
00
01
10
01
10
10
00
10
10
00
01
00
11
01
01
10
01
10
11
01
10
11
00
10
11
10
10
00
00
10
10
10
00
11
10
00
00
00
00
11
10
10
00
10
00
10
10
00
00
10
10
01
00
10
10
10
00
10
10
00
10
00
10
10
10
10
01
10
10
10
10
00
11
00
11
01
00
10
00
01
10
10
00
11
01
11
00
10
10
10
00
00
11
10
00
01
00
10
10
10
01
10
00
00
01
10
10
10
01
00
01
00
10
10
10
10
00
10
10
11
01
11
10
11
11
10
00
10
11
00
00
10
11
01
11
10
00
00
01
10
10
11
00
10
10
00
10
00
11
01
00
11
00
00
00
11
10
10
00
01
10
01
10
10
11
01
10
11
10
10
00
11
00
00
10
11
11
01
10
11
01
01
00
00
11
01
11
10
00
10
00
11
00
00
10
01
01
10
10
00
01
00
10
10
01
00
11
10
10
00
00
01
00
11
10
10
01
10
00
01
00
00
10
10
00
10
11
11
11
10
00
10
11
01
11
10
00
00
10
10
10
00
00
10
00
00
00
01
00
00
00
10
10
10
10
01
11
10
00
00
10
11
10
11
10
00
00
01
01
00
00
10
11
00
00
10
10
11
10
10
01
00
01
11
10
01
11
00
01
00
11
00
11
10
01
10
10
00
01
10
10
00
00
00
11
10
11
10
11
10
00
00
01
10
11
10
10
00
01
10
10
00
10
10
01
00
10
10
00
10
00
01
10
00
11
10
01
01
11
11
00
10
01
00
00
01
10
10
10
11
01
10
10
11
10
00
10
00
11
10
10
00
00
00
00
10
10
10
01
11
00
10
10
00
01
10
11
01
11
00
00
01
10
01
01
10
11
11
01
00
10
10
11
00
00
00
11
00
01
10
00
10
10
11
00
11
11
10
11
00
11
10
10
00
00
10
10
11
00
10
00
11
10
10
00
01
10
10
00
11
00
00
10
00
00
11
10
00
10
00
00
10
00
01
10
00
10
00
00
01
01
10
00
00
01
11
00
11
00
00
10
01
00
11
11
00
11
11
10
11
00
10
10
00
00
00
11
01
00
10
10
00
10
11
10
00
01
11
10
00
10
10
01
00
11
10
00
00
01
10
11
01
11
10
00
00
10
01
01
10
01
11
01
00
00
00
11
10
10
01
00
00
10
00
11
00
00
10
10
10
11
10
00
10
11
00
01
00
11
10
00
10
10
00
01
10
10
11
11
00
10
10
00
10
10
00
11
00
10
00
00
00
10
00
00
00
11
10
00
11
00
01
00
10
10
11
10
00
00
10
11
00
11
00
01
01
11
01
10
10
10
00
00
10
00
01
11
01
01
10
11
00
10
01
10
10
00
00
10
00
00
01
10
01
01
10
10
00
00
10
01
01
00
10
10
00
00
00
10
10
11
00
10
00
11
10
00
11
01
00
11
10
00
00
10
11
00
10
10
10
00
10
00
01
00
01
00
10
01
10
11
00
10
10
10
01
11
10
10
00
00
10
10
00
00
01
10
10
10
00
00
01
00
00
10
10
00
00
00
11
01
00
00
10
01
01
10
11
10
01
10
10
11
01
00
11
00
01
10
11
00
10
10
11
10
01
00
10
01
00
11
00
00
10
10
11
10
11
00
00
00
00
10
01
10
01
00
11
01
10
10
11
00
00
00
10
11
10
01
00
10
10
01
00
10
00
01
01
11
01
11
00
10
00
11
10
01
00
10
01
11
10
11
10
00
00
10
00
00
11
10
10
01
11
00
10
01
00
00
00
10
00
10
10
01
00
00
10
00
00
11
10
01
10
01
10
11
00
00
00
10
00
00
11
11
01
10
11
10
10
00
00
00
00
00
10
01
00
00
11
11
00
11
00
11
11
11
10
00
10
10
10
01
11
11
00
10
01
10
11
11
10
11
10
01
00
10
10
01
01
01
00
11
01
00
01
11
11
01
11
10
00
00
10
10
00
00
00
00
00
11
11
00
00
10
10
01
00
00
11
00
10
00
00
00
10
11
00
10
00
10
10
10
00
00
11
10
00
00
10
10
01
10
00
00
11
01
00
11
01
00
11
10
11
01
10
00
01
00
10
00
10
11
00
01
00
00
00
10
00
00
00
10
10
00
10
10
11
10
00
00
10
11
10
00
00
00
10
10
11
11
00
00
11
10
10
11
10
10
11
00
00
10
10
00
00
11
10
11
10
10
00
10
01
00
01
10
01
01
10
00
00
10
10
00
00
10
10
00
11
10
11
01
00
01
01
11
11
11
00
00
11
10
01
00
10
00
10
00
10
00
01
10
10
00
10
00
00
00
10
10
01
11
00
00
10
10
01
01
10
11
11
01
00
01
10
10
01
00
10
11
00
11
10
00
10
11
00
11
00
00
10
00
00
11
10
11
00
01
00
10
01
01
00
10
00
00
11
00
10
00
00
00
10
10
10
11
01
00
00
11
11
01
00
01
01
00
10
10
01
11
00
00
10
00
11
10
10
10
10
00
01
00
00
01
10
10
00
01
10
00
01
11
10
00
00
01
10
01
00
01
10
01
00
10
10
01
10
11
10
01
01
10
10
10
11
00
11
10
00
10
10
00
00
10
10
00
10
00
10
00
00
00
11
10
10
10
10
01
00
00
00
00
10
10
01
01
01
00
00
01
10
10
10
10
11
00
01
01
11
01
00
11
00
10
01
00
11
10
01
00
01
00
10
00
00
11
10
10
01
11
11
10
10
00
00
10
10
00
00
10
10
00
01
01
10
11
10
10
00
00
10
00
01
00
11
11
10
00
10
00
00
00
10
11
00
01
11
01
00
10
01
10
10
00
00
11
00
10
10
00
00
00
00
00
10
01
10
10
01
00
01
00
11
10
11
00
00
01
11
11
00
01
10
01
10
10
00
00
11
10
01
10
00
10
10
11
00
01
00
11
11
01
00
11
00
00
10
10
10
11
00
00
01
10
11
10
00
00
10
01
10
11
00
01
11
10
00
00
11
10
10
01
01
10
01
01
10
10
11
11
01
01
10
00
00
10
10
10
11
00
00
00
11
10
01
00
00
10
10
00
00
10
11
11
01
11
00
10
00
00
10
00
01
00
10
10
10
00
00
11
10
01
10
10
00
11
10
00
01
01
00
10
10
10
10
01
00
10
00
00
10
00
01
11
00
01
11
00
10
00
00
00
01
10
10
01
11
00
11
10
00
00
00
10
10
00
10
11
10
10
10
00
10
10
00
00
01
10
10
10
00
00
10
10
00
00
11
01
10
10
00
00
01
00
00
10
11
11
01
11
10
11
00
10
00
01
11
00
10
10
00
01
10
00
00
01
00
00
11
11
00
11
00
10
00
01
00
01
11
10
00
00
01
10
00
01
10
01
11
10
00
10
10
10
00
01
10
00
10
11
01
10
01
10
10
01
11
00
01
00
10
10
00
10
10
01
00
10
10
11
00
00
00
10
11
11
01
00
10
11
00
10
10
11
00
10
01
00
10
11
00
11
00
10
10
10
11
11
01
00
10
00
00
10
11
10
00
10
10
00
00
10
00
11
01
10
00
01
10
01
10
10
00
00
00
10
00
01
01
11
00
01
00
10
10
10
10
00
10
10
00
01
01
11
10
01
00
10
11
01
11
01
10
10
10
10
01
00
10
00
01
10
10
11
10
01
11
00
01
10
01
10
11
10
11
00
00
00
00
00
10
01
01
11
10
11
10
00
00
10
00
00
10
10
10
01
10
00
01
10
10
01
10
11
11
11
10
00
00
01
00
10
00
00
10
01
01
00
10
10
10
00
01
00
11
10
00
00
00
01
01
01
10
00
01
00
10
10
00
00
00
11
10
11
10
10
10
00
11
00
10
11
00
01
00
11
10
01
10
01
01
10
10
10
10
00
00
10
11
10
11
00
10
00
00
10
10
10
00
10
11
10
10
01
00
01
00
10
11
00
00
10
00
00
10
10
01
10
10
10
10
00
10
00
11
00
00
00
00
01
10
10
00
10
10
00
00
00
11
10
00
00
10
11
10
10
10
01
01
10
10
01
00
00
11
11
01
01
10
10
10
00
00
00
01
00
10
10
10
00
10
00
01
10
01
01
10
11
01
00
10
11
00
00
10
11
10
10
00
01
00
10
01
10
01
11
00
10
11
11
00
01
10
00
00
10
10
00
00
10
10
00
01
10
00
01
11
11
00
00
10
11
10
11
00
10
00
00
00
11
10
00
00
00
10
00
10
11
10
11
00
01
00
00
10
00
10
00
00
10
01
10
00
00
11
00
11
11
11
10
00
10
00
10
10
11
00
10
10
00
10
10
01
00
10
11
10
00
10
01
00
11
10
10
10
01
00
10
00
00
10
11
10
10
00
00
01
01
10
00
11
00
00
10
10
10
11
10
00
11
00
10
10
10
01
11
00
00
00
11
01
10
11
01
00
01
01
11
10
01
11
01
01
00
00
00
11
01
01
10
10
00
00
01
11
01
00
10
01
01
01
11
10
01
00
00
10
11
01
11
10
00
11
00
11
00
01
10
11
11
11
00
01
10
00
01
00
10
11
00
01
10
01
10
10
10
00
11
11
10
00
10
10
10
10
00
10
10
11
00
00
11
10
00
00
00
10
10
00
11
11
00
01
11
11
10
10
01
10
10
00
00
10
01
00
01
01
00
10
11
00
11
11
00
10
01
11
11
10
00
00
10
00
01
11
10
00
10
00
11
00
01
10
10
11
01
00
10
01
00
10
10
11
01
10
11
00
11
00
00
00
01
11
11
11
01
11
00
00
01
10
11
10
00
00
10
11
00
10
10
01
00
00
00
01
01
01
10
10
10
10
10
01
01
01
00
00
01
10
11
00
11
11
10
10
01
10
00
11
10
00
01
10
10
11
00
10
00
00
00
10
10
00
10
11
00
01
11
00
10
01
10
01
00
10
00
00
00
10
10
01
00
00
10
10
10
00
10
10
10
10
11
01
01
00
10
11
10
00
01
00
11
00
00
11
10
10
10
10
00
00
00
11
00
11
10
10
00
00
01
11
11
00
00
01
00
00
10
11
00
00
01
10
00
10
01
10
01
00
10
01
10
10
11
11
01
11
10
11
00
00
01
10
11
01
11
00
00
11
10
01
10
11
00
00
10
00
10
11
00
00
00
10
10
11
01
01
10
01
10
11
10
10
10
01
10
10
10
00
10
00
00
10
11
00
10
10
10
10
01
01
11
10
10
00
01
10
10
10
00
11
10
00
01
00
00
00
01
10
10
10
01
10
11
11
00
01
10
10
10
00
00
00
10
10
10
10
00
00
11
10
00
10
00
10
01
10
11
10
10
00
01
00
01
11
11
01
10
00
00
00
11
11
00
00
10
01
00
10
10
00
10
00
01
10
01
10
01
00
11
10
10
10
10
10
00
00
10
00
10
01
00
00
01
00
01
10
10
00
00
10
11
01
00
10
10
10
10
00
00
10
01
10
01
00
10
10
00
11
10
00
10
10
11
00
01
00
10
11
10
00
00
00
00
11
11
10
10
10
01
11
01
10
11
00
00
00
10
00
00
11
01
00
01
10
11
00
10
10
00
00
10
10
00
10
00
01
00
10
01
00
00
00
01
11
00
00
10
11
00
01
00
10
00
10
00
00
10
11
00
10
10
00
01
01
10
11
00
01
00
11
00
11
00
00
10
10
10
00
00
11
10
00
11
01
00
10
10
00
01
10
01
01
10
00
01
00
11
10
00
10
10
00
10
10
01
10
10
10
10
11
01
10
00
10
10
10
00
11
00
01
00
00
00
01
01
00
00
11
00
00
00
00
01
00
11
00
00
11
00
01
11
00
01
10
10
10
00
01
10
10
01
10
01
10
01
00
10
10
00
10
11
00
01
10
10
00
10
10
01
01
10
01
01
00
11
00
01
01
00
01
10
10
10
10
11
00
01
00
00
11
11
00
10
10
00
00
00
11
11
10
00
10
10
10
00
01
10
10
01
00
00
00
00
11
10
01
11
10
10
11
00
10
01
00
10
11
11
00
00
10
00
11
00
01
10
10
00
00
10
10
10
00
10
10
00
00
00
10
11
10
00
11
10
10
00
01
10
01
10
10
10
00
00
00
00
10
11
10
01
10
01
00
00
01
10
11
01
11
00
11
00
00
10
10
11
00
10
11
11
00
01
10
10
11
11
00
00
11
11
10
10
01
00
11
00
11
10
01
01
10
01
00
10
10
11
00
01
10
11
00
10
11
00
00
01
11
10
11
00
00
00
10
01
00
10
11
00
10
00
11
10
00
10
11
10
11
10
01
00
00
10
00
00
00
01
11
11
00
00
10
00
00
10
00
00
11
00
00
00
00
11
01
00
11
00
11
11
00
10
00
10
10
01
01
10
10
10
01
00
11
10
10
10
10
11
00
11
01
10
10
10
10
00
01
10
10
00
01
00
11
00
11
10
00
11
10
00
01
10
10
01
11
10
10
01
00
10
11
00
01
10
11
00
11
00
00
00
11
01
01
00
11
10
10
11
01
10
00
01
01
11
01
10
10
01
01
01
00
10
00
01
11
10
11
00
00
10
11
00
00
10
11
10
00
10
10
00
00
10
00
00
01
11
10
01
00
00
01
00
10
00
11
10
10
11
00
00
01
01
10
00
01
11
10
10
00
01
01
10
00
11
11
10
11
00
00
11
10
01
10
01
10
01
10
00
00
10
11
10
10
01
00
00
11
10
00
00
10
00
11
00
01
00
10
10
01
10
10
10
00
11
00
11
11
00
00
10
11
10
10
00
00
01
01
11
01
01
00
10
00
00
00
11
10
11
10
10
11
10
00
00
00
10
10
00
00
11
00
01
10
11
00
00
00
10
01
10
00
01
01
11
11
00
00
10
00
11
00
00
00
00
11
10
10
01
00
11
01
11
10
10
00
01
00
10
10
00
00
10
10
11
00
11
00
10
10
10
10
00
00
10
11
01
10
11
01
10
11
00
00
01
10
10
10
00
01
01
00
00
01
10
01
00
10
10
10
00
01
01
11
10
10
00
01
00
10
10
00
10
00
10
01
01
00
11
10
10
01
00
11
01
00
11
11
00
00
10
10
10
10
00
00
10
00
10
11
00
01
00
00
01
01
10
11
10
00
00
10
11
00
00
10
10
10
01
00
10
11
10
01
00
00
10
01
00
10
01
01
10
00
10
10
01
10
11
11
00
00
00
01
11
11
00
00
10
01
10
00
11
00
00
11
10
00
10
11
01
00
00
00
11
00
01
11
10
00
00
10
00
00
00
10
10
10
10
00
00
01
11
11
00
00
11
10
00
00
10
00
10
00
10
00
11
00
00
11
10
00
01
11
11
00
00
00
01
10
10
10
01
01
10
10
11
11
00
10
00
00
00
10
10
00
00
00
10
11
00
01
10
00
01
01
00
11
11
11
00
01
01
00
11
11
00
01
10
10
10
11
01
01
11
10
01
00
01
00
10
11
00
10
10
10
11
10
00
10
00
10
10
10
00
00
10
00
00
10
10
10
00
00
10
11
00
00
00
11
00
00
01
00
11
11
01
00
00
10
10
00
00
10
11
00
00
11
10
00
01
11
11
10
11
00
10
00
10
11
10
00
01
10
11
01
00
10
11
10
01
10
11
00
00
00
10
10
00
00
10
00
00
10
10
10
11
01
11
11
00
00
10
01
00
00
11
01
11
00
00
11
11
00
00
10
00
00
10
10
10
00
00
10
00
10
01
10
10
00
01
11
10
01
11
00
10
01
01
11
10
01
00
10
00
11
10
01
00
10
00
11
10
10
10
01
01
00
10
00
01
00
00
10
10
10
01
10
00
10
00
10
00
00
11
11
01
01
10
10
10
10
10
11
01
00
00
11
00
11
00
10
11
00
00
00
11
10
01
10
01
11
10
00
00
10
01
10
11
10
00
00
00
00
10
10
00
00
10
01
01
11
01
10
00
11
01
11
10
00
00
10
10
11
00
00
10
00
10
10
10
10
00
11
10
10
01
00
11
10
01
00
01
10
10
10
10
01
00
10
10
11
00
10
10
00
01
11
01
10
10
10
00
11
10
11
10
00
00
11
10
00
11
11
11
00
10
00
01
10
01
10
11
11
00
00
00
11
01
00
10
00
00
00
10
01
10
00
01
00
10
00
01
10
00
00
00
11
11
00
10
00
10
00
10
01
00
10
11
10
10
11
00
10
01
10
10
01
01
00
00
10
00
10
10
10
00
00
01
11
11
11
10
10
01
01
00
01
11
10
00
00
00
10
00
00
10
11
11
10
00
00
10
10
00
00
00
10
00
10
00
10
00
00
10
01
00
11
00
01
00
00
10
00
00
10
10
00
10
00
11
00
10
01
01
10
01
00
00
00
10
10
10
01
00
00
00
01
00
10
10
00
11
10
10
10
00
00
11
00
00
10
11
10
10
01
00
01
00
00
00
00
01
00
01
10
10
10
10
00
10
10
00
10
00
10
11
00
10
11
00
00
00
01
00
00
00
00
10
10
00
00
10
10
10
10
01
10
00
10
10
10
00
00
01
10
00
10
00
10
11
10
00
10
10
11
01
11
10
10
01
00
01
01
10
11
01
00
00
00
00
10
00
10
11
10
10
10
00
01
11
01
00
10
11
10
11
00
00
01
01
01
00
10
11
00
10
01
01
10
00
01
10
01
00
10
00
11
10
00
00
11
00
11
10
01
11
11
00
11
10
00
00
10
11
00
00
10
00
11
10
00
10
00
01
11
10
00
01
10
10
11
00
10
00
00
11
10
11
11
00
00
10
11
10
00
00
11
01
00
10
00
00
10
11
01
10
01
10
10
00
00
11
11
00
01
00
10
00
10
10
00
01
10
00
11
10
01
00
10
00
10
11
11
00
00
00
01
10
10
11
10
00
00
11
00
11
10
11
10
10
00
01
10
01
10
11
00
00
10
11
10
11
10
01
00
10
10
10
00
00
01
10
01
00
10
01
10
01
00
00
10
10
00
11
10
00
00
10
10
11
11
00
01
10
10
00
10
10
11
10
01
10
11
00
10
00
11
10
00
10
11
00
10
01
01
01
10
10
00
00
10
11
10
00
01
10
10
10
00
01
10
01
01
00
00
10
10
00
01
00
10
10
10
01
00
10
10
00
00
00
10
10
10
00
10
01
11
10
00
10
01
00
11
11
00
00
10
10
10
01
00
00
10
11
10
10
00
01
01
11
00
00
01
10
11
00
10
10
00
10
00
01
10
11
00
10
01
00
01
10
10
00
10
11
01
10
10
01
01
00
00
10
11
00
00
01
10
10
00
10
01
10
00
01
10
10
10
10
01
10
00
10
10
00
10
11
10
11
11
00
11
10
11
00
10
01
00
10
10
10
00
11
10
10
10
01
11
11
01
11
00
10
11
00
01
00
10
10
00
00
00
10
10
00
00
00
11
00
00
11
01
11
11
10
10
01
00
00
10
00
00
00
10
11
00
00
00
01
01
11
11
01
10
10
10
01
11
01
00
10
11
00
00
11
00
00
11
00
11
10
10
00
11
10
01
10
11
10
10
00
01
10
00
11
01
11
00
00
10
11
11
00
00
11
11
01
00
11
00
00
10
00
10
10
00
00
10
01
00
00
00
01
00
00
01
10
00
00
10
11
00
10
11
10
01
10
00
00
10
11
00
00
10
00
10
00
01
10
11
10
00
01
00
11
11
11
10
00
00
10
10
01
00
10
11
01
00
00
10
00
10
00
00
00
11
00
10
10
11
10
00
01
11
01
01
11
10
10
00
10
00
00
11
00
01
00
00
00
11
10
01
01
00
10
00
00
10
01
11
01
11
11
11
11
01
10
00
01
10
00
00
10
10
11
00
00
00
11
10
10
10
10
00
01
01
00
01
10
10
01
01
01
11
10
00
00
00
10
10
00
10
01
01
01
00
10
01
10
01
00
10
01
00
00
10
11
11
11
10
01
10
10
00
11
00
01
10
10
01
10
10
00
11
10
10
01
01
10
10
10
11
11
10
00
01
11
01
01
10
00
10
00
00
10
10
00
01
00
00
01
11
10
11
00
00
10
10
10
10
10
01
10
10
10
00
11
00
01
00
00
10
11
11
00
10
10
10
01
00
00
00
11
00
00
10
10
00
10
10
11
01
11
10
00
00
10
01
11
10
01
00
11
01
10
11
10
11
00
00
10
10
10
11
10
00
00
01
00
11
00
10
10
00
00
10
10
10
01
00
10
00
01
00
00
11
11
11
00
00
10
10
00
10
10
10
00
01
01
00
10
10
10
11
11
00
10
10
00
01
11
10
01
00
01
01
11
10
10
01
00
00
10
00
01
10
10
11
10
11
11
01
11
11
11
00
10
11
00
11
01
01
10
10
10
00
00
00
10
10
11
01
10
11
10
11
00
10
01
01
11
00
00
10
10
01
00
10
10
10
10
10
01
00
00
10
10
00
11
10
00
10
10
01
10
10
00
10
01
00
00
10
10
00
11
00
10
00
10
10
10
11
10
10
00
10
00
11
00
00
00
10
10
01
10
00
11
10
10
01
10
11
00
00
00
00
10
10
00
00
00
11
11
00
10
10
01
11
01
01
01
11
10
00
00
00
10
10
00
00
10
10
10
01
00
01
10
10
11
00
11
11
00
01
01
10
01
01
11
01
01
11
10
10
10
10
10
01
01
01
10
10
11
01
00
10
01
00
10
00
10
10
10
00
01
11
10
00
01
10
00
10
10
01
01
10
00
11
10
10
10
01
01
00
01
10
10
10
00
01
10
00
10
01
00
10
11
00
00
00
01
00
00
10
10
00
01
11
11
01
11
01
10
00
10
00
00
10
01
10
11
10
00
10
00
11
10
00
00
00
10
11
01
00
01
11
11
10
01
00
11
00
01
10
00
00
10
11
01
11
10
11
01
01
10
10
10
00
11
00
00
00
00
01
00
10
00
10
10
10
11
00
10
00
00
01
10
10
01
01
10
10
00
00
10
10
10
10
10
00
10
11
10
01
10
01
11
10
00
00
10
10
00
01
11
10
00
00
11
00
10
11
00
01
00
01
10
01
00
01
11
10
00
00
00
11
11
00
11
10
01
01
10
10
10
10
10
01
10
01
00
00
00
10
00
00
10
11
10
01
10
10
00
01
10
00
10
10
10
10
00
00
10
10
11
00
01
11
01
00
11
01
11
10
01
00
11
00
00
11
10
10
00
01
00
00
10
10
10
11
10
11
10
01
10
10
00
10
00
00
11
00
10
01
10
10
01
01
01
00
00
10
00
01
00
11
00
10
00
00
00
11
01
00
10
00
11
00
00
10
11
11
10
10
01
00
10
10
10
01
01
00
00
10
00
10
11
11
01
10
10
10
00
10
00
00
11
11
10
01
00
11
10
11
00
10
00
01
10
11
10
11
10
00
11
00
00
10
10
01
10
00
11
00
00
10
11
00
10
10
10
10
10
00
00
10
10
10
10
00
01
11
11
00
00
10
10
10
00
11
10
00
11
10
01
01
10
10
10
10
11
10
01
00
01
10
00
11
11
00
00
00
10
11
01
10
10
00
01
10
10
01
11
01
01
11
01
10
11
00
10
10
00
10
10
00
10
00
10
11
11
10
11
01
01
10
00
00
01
00
00
00
10
11
11
10
00
00
11
01
00
10
10
10
11
10
00
11
10
00
11
10
10
10
00
10
10
00
00
01
11
11
10
00
10
01
00
11
10
00
10
01
00
01
11
11
00
00
00
11
10
01
10
10
11
10
00
01
00
11
00
00
10
10
10
10
01
00
00
00
10
01
10
00
00
11
11
11
10
11
00
00
00
11
00
00
00
10
00
01
10
01
00
00
00
10
10
11
00
01
10
11
00
10
10
01
10
01
01
10
10
00
10
00
01
11
00
00
11
00
00
00
11
11
10
00
10
11
11
11
10
00
01
10
11
01
01
10
10
01
10
00
00
01
11
10
11
10
10
10
10
00
01
11
01
00
10
10
10
10
10
00
00
10
10
10
10
00
11
00
11
10
10
00
00
00
01
00
11
10
11
10
01
11
10
01
01
10
10
10
10
10
10
00
00
00
00
00
10
01
10
10
00
00
10
01
00
00
10
11
00
10
11
10
11
01
10
01
11
11
01
11
10
00
00
10
10
00
01
11
11
10
10
00
01
00
01
10
11
00
00
00
00
10
00
10
10
00
00
00
10
00
00
00
11
00
10
00
00
10
10
10
10
00
00
10
00
10
11
10
00
10
10
10
10
10
01
11
10
10
01
00
10
00
01
10
11
01
10
00
11
10
11
00
00
10
11
10
00
00
01
00
00
01
10
00
00
11
10
11
10
01
00
00
01
11
10
10
10
00
00
11
00
00
11
10
00
10
01
00
11
11
00
10
01
10
11
10
10
00
00
10
00
10
10
00
10
11
10
00
00
11
01
11
00
00
01
11
10
01
01
10
11
00
01
00
10
10
01
00
10
01
10
00
01
00
10
11
01
00
10
11
01
11
10
10
00
10
01
00
11
11
10
00
11
00
01
11
10
10
10
00
00
00
00
11
00
11
00
01
01
00
11
01
00
10
00
00
10
01
10
10
10
10
10
00
10
10
01
00
00
10
00
10
00
10
10
01
11
11
00
00
10
01
11
10
11
00
01
11
00
00
10
11
00
10
10
10
10
10
11
10
00
00
10
01
00
01
00
00
00
10
11
10
00
11
10
10
01
00
10
00
00
00
11
11
10
00
11
01
10
10
01
11
00
10
11
00
00
10
00
01
01
00
10
10
00
10
10
01
10
00
00
10
10
00
00
10
01
00
11
00
10
00
10
00
11
10
00
00
11
00
01
10
00
00
11
10
10
11
10
01
00
10
00
01
10
10
10
10
00
00
11
10
10
10
10
00
00
00
10
01
00
11
10
01
01
00
11
11
01
01
11
01
10
00
00
01
11
00
01
11
00
01
00
00
01
01
10
10
00
00
00
10
11
01
10
11
10
00
10
01
11
00
10
10
01
10
00
01
00
10
10
00
10
00
01
11
11
10
00
11
00
11
01
01
10
10
01
00
10
10
00
10
00
00
10
00
00
00
00
10
10
11
00
01
01
10
10
10
00
00
00
11
11
00
00
11
00
01
01
01
10
10
11
00
00
10
00
01
10
00
01
01
10
10
00
10
11
11
00
00
11
10
10
10
00
10
10
00
10
11
00
10
11
11
00
10
10
10
00
01
00
10
10
10
10
10
10
10
10
00
00
10
00
01
01
00
01
00
00
01
11
10
10
00
11
10
00
00
10
10
00
10
00
00
10
01
00
11
10
00
00
01
00
01
00
10
11
01
00
00
00
10
00
01
00
10
10
01
11
10
00
10
11
11
01
00
10
10
01
01
11
11
10
00
01
10
11
01
01
00
10
11
01
00
11
11
01
10
01
00
00
01
11
11
10
10
00
10
11
01
10
11
10
00
10
01
00
10
10
00
11
01
10
10
00
00
00
10
11
01
00
10
00
00
10
10
00
11
11
10
10
00
10
10
00
10
01
10
10
10
00
11
00
10
11
10
11
10
00
00
00
10
01
00
10
11
11
00
11
10
01
00
01
10
00
00
10
10
00
00
10
11
10
10
00
10
10
00
10
00
10
10
10
10
01
00
00
11
00
11
11
00
01
00
10
01
10
00
10
10
00
10
10
11
00
00
01
11
00
11
11
00
10
10
10
11
11
00
00
10
00
01
10
10
10
00
01
00
10
11
10
10
10
01
01
01
00
11
00
00
10
10
10
00
00
10
10
00
00
01
00
00
11
00
11
10
01
01
00
11
00
00
10
01
10
01
01
00
10
11
10
01
10
01
11
10
11
00
11
10
00
00
01
01
00
00
10
00
00
00
00
01
11
11
10
10
01
11
00
10
00
00
01
11
01
01
11
11
11
00
01
00
00
01
10
11
00
10
00
11
11
00
11
10
11
00
01
00
00
10
00
10
10
10
01
00
11
10
00
01
11
11
01
01
01
01
10
01
00
11
11
00
01
10
10
00
00
10
01
10
10
00
01
10
00
10
00
00
00
00
11
01
10
10
10
10
01
00
10
01
10
10
00
01
01
00
01
01
00
11
00
10
11
10
01
01
11
01
10
00
10
00
00
10
10
00
01
01
00
10
11
00
10
00
01
11
00
00
11
10
01
11
10
01
00
00
10
10
00
10
10
01
01
11
01
00
00
11
00
11
10
00
01
10
11
11
10
00
11
01
00
00
10
11
11
00
01
10
10
10
10
01
00
10
00
00
00
00
10
11
10
11
10
11
00
01
00
00
11
10
00
00
11
00
01
00
11
01
00
10
11
00
00
10
10
01
01
10
11
10
00
11
00
10
10
10
01
01
10
10
00
10
00
10
10
00
00
01
00
10
00
01
11
10
10
00
10
11
10
01
00
01
10
00
10
10
10
10
00
00
01
00
10
10
01
01
11
00
11
00
11
10
10
00
00
11
01
10
10
11
10
00
01
00
00
00
01
10
01
01
10
00
11
00
00
00
11
01
01
00
11
10
01
00
00
00
11
00
01
10
11
10
11
00
00
10
11
01
01
10
00
10
10
00
01
10
10
01
10
00
00
01
00
00
10
10
00
01
10
01
00
01
10
00
10
10
10
00
00
00
00
10
10
00
11
01
11
11
00
01
01
01
01
10
11
01
11
00
11
01
11
11
00
01
11
11
00
00
11
11
10
00
11
10
11
10
01
00
01
10
10
10
00
10
10
00
00
10
00
11
00
01
11
10
11
00
01
01
01
10
00
10
10
10
00
00
00
10
11
10
01
10
00
00
11
00
00
10
00
10
10
10
10
00
00
01
11
10
00
01
00
10
11
01
11
11
11
11
00
00
11
11
00
01
11
01
10
01
00
10
00
01
10
10
10
00
11
01
01
10
01
00
10
01
10
01
00
01
11
10
11
01
01
11
10
10
00
01
00
10
10
00
01
00
10
11
00
10
10
10
01
11
10
00
10
10
01
01
10
00
00
10
00
00
00
10
10
00
10
10
10
11
10
10
00
00
10
01
10
00
11
00
11
11
01
10
00
10
01
10
10
11
01
01
00
00
10
00
10
00
00
00
10
01
00
10
00
10
11
01
10
10
10
10
10
10
00
00
11
11
10
00
10
00
00
10
11
11
00
00
11
10
10
10
00
11
00
01
00
10
10
10
10
00
10
10
10
01
10
01
10
11
10
10
10
01
00
11
01
01
01
10
01
10
11
00
10
01
00
11
11
00
00
10
10
00
01
11
11
01
10
10
00
00
01
10
10
00
11
01
00
01
11
10
00
00
00
10
10
11
10
00
00
10
10
10
00
00
00
00
10
11
10
00
00
00
10
10
01
01
01
11
10
10
10
00
00
00
10
11
01
11
01
10
11
00
01
10
00
00
00
00
11
00
11
11
10
11
00
00
00
01
10
10
00
00
11
11
10
00
10
10
00
10
10
10
00
00
10
00
11
10
01
01
10
00
11
11
10
10
01
10
10
10
01
01
01
00
00
00
01
01
01
10
10
11
10
01
11
00
01
00
10
11
00
00
00
10
11
00
10
11
00
11
11
10
00
10
00
10
10
00
00
00
11
00
11
00
00
10
10
10
10
01
01
00
10
01
00
10
10
10
01
00
00
10
10
00
10
01
00
10
00
01
10
10
10
00
10
11
10
00
00
10
10
10
01
10
10
10
10
00
00
11
00
10
10
00
00
00
00
10
00
00
00
00
10
10
10
00
10
00
01
11
10
10
00
00
00
10
10
00
01
10
10
10
00
10
10
01
10
00
10
01
00
01
01
10
10
10
00
00
01
10
00
10
10
10
00
11
11
10
10
10
01
00
00
00
01
10
11
00
11
00
00
00
00
10
10
01
10
01
01
10
11
10
11
11
01
00
00
10
10
11
00
10
11
11
11
10
10
10
01
00
01
01
11
10
11
00
11
01
01
01
11
00
10
10
00
00
10
00
10
01
00
01
00
11
01
00
01
11
10
00
00
10
01
00
11
00
10
10
00
11
10
01
00
10
10
00
10
11
01
00
10
10
00
10
00
00
10
00
00
10
10
10
01
10
10
11
01
11
10
10
01
00
10
01
00
11
01
10
11
00
01
10
00
11
00
00
10
10
00
11
01
00
00
10
01
11
10
01
10
11
10
00
00
11
00
00
00
00
00
10
10
10
11
11
10
00
10
00
00
10
00
00
01
10
01
00
10
00
11
10
11
00
00
00
01
10
10
11
01
00
00
00
10
00
10
00
10
10
11
00
01
10
00
00
10
10
00
10
11
00
01
00
11
00
00
10
10
01
00
10
10
10
00
00
11
11
00
10
00
01
10
00
10
11
00
10
01
00
10
01
10
00
10
10
00
10
10
11
00
10
10
11
00
00
10
01
00
10
10
10
10
11
01
00
11
11
00
00
01
11
01
00
10
00
00
10
10
00
00
10
00
10
10
10
00
11
10
00
10
10
10
10
00
00
11
00
11
00
00
00
01
11
01
00
11
00
00
11
01
11
10
00
01
10
00
00
10
00
10
11
00
01
00
11
00
10
00
10
10
10
01
00
10
10
10
10
10
11
01
01
01
11
10
01
01
01
00
10
10
11
00
00
01
11
10
10
11
01
10
10
01
00
00
10
10
10
00
10
11
00
10
00
11
00
01
00
00
00
01
01
01
11
00
10
10
10
00
11
10
01
00
00
10
11
00
01
01
10
11
00
01
10
11
01
11
10
00
01
10
01
10
10
00
01
10
00
00
10
10
00
01
10
01
10
01
01
01
00
11
00
01
01
10
01
00
00
10
01
10
11
01
11
01
00
00
00
11
10
00
00
10
11
00
00
00
10
11
10
10
10
00
10
11
10
10
11
11
11
01
10
00
00
00
11
10
01
00
00
00
00
11
10
10
01
10
10
00
10
01
01
00
10
10
11
10
00
01
10
01
01
00
00
00
00
00
10
10
01
00
00
00
10
00
10
00
10
10
11
11
01
00
00
10
10
10
00
01
10
01
00
01
10
11
10
01
01
00
00
10
10
00
00
10
00
10
11
01
00
00
00
01
00
11
10
01
00
11
01
01
01
11
00
00
10
00
00
10
10
01
00
10
00
10
00
00
10
10
01
00
10
00
00
11
10
01
01
00
10
10
01
00
01
11
01
00
01
00
10
11
00
11
10
00
00
10
10
00
01
10
00
00
00
10
01
01
10
00
00
10
00
10
00
00
11
00
00
10
00
01
01
00
11
11
11
10
00
10
11
01
11
11
11
11
00
00
01
01
10
10
00
01
10
00
00
11
11
00
10
01
10
01
10
00
00
10
11
11
10
10
00
00
01
00
00
00
10
01
10
11
00
11
00
01
10
10
00
00
10
00
10
10
10
00
01
10
10
10
11
00
11
01
00
01
00
01
00
00
10
10
11
00
10
10
00
10
11
01
01
10
10
10
10
00
11
00
01
11
00
10
01
00
01
10
00
11
11
01
01
00
11
10
00
00
11
10
01
10
11
00
00
10
00
00
00
00
11
10
11
11
00
00
00
00
10
11
11
10
11
11
00
01
11
01
01
00
00
10
00
00
10
10
00
10
10
00
10
11
01
11
00
01
10
10
00
01
10
10
11
00
00
00
11
00
11
11
00
11
10
00
00
10
00
01
10
10
10
00
10
10
10
01
10
10
10
01
00
11
11
00
00
11
01
11
11
00
10
11
00
00
00
11
10
11
00
00
10
00
01
00
00
10
11
00
01
01
11
10
11
00
01
10
00
00
10
10
00
10
10
00
00
00
00
10
01
00
10
11
01
01
01
10
10
01
00
10
10
00
00
00
11
01
00
00
00
10
01
10
10
10
00
00
10
01
00
11
01
00
01
11
00
00
10
10
01
01
11
11
10
01
01
00
11
10
00
00
10
10
10
01
01
00
10
00
11
00
00
11
10
00
01
00
10
10
00
01
11
11
11
01
11
00
10
00
01
10
00
00
10
00
01
10
11
00
00
01
00
00
10
11
00
10
11
01
10
10
00
10
11
10
11
00
00
10
00
11
10
01
00
11
10
00
11
01
00
11
00
01
00
00
10
10
10
10
01
00
00
01
10
00
00
10
00
00
00
00
10
10
10
11
11
01
00
00
10
10
10
01
01
11
00
00
10
10
01
00
11
11
10
00
11
10
00
01
00
01
00
10
11
10
01
01
01
10
01
10
10
11
00
01
10
00
01
11
00
01
10
00
10
10
00
10
10
00
10
01
01
00
00
11
01
01
10
10
01
01
11
11
00
00
11
11
00
00
11
10
00
10
10
00
01
10
10
10
10
10
11
10
00
10
01
01
00
11
10
10
10
00
10
01
10
11
00
00
00
01
00
10
10
11
00
00
00
00
10
00
11
11
01
00
11
00
10
10
00
10
11
01
10
11
10
01
00
10
00
00
10
00
11
10
11
00
01
00
00
10
10
00
10
10
00
00
10
10
10
01
00
10
00
10
10
11
00
10
10
11
10
00
10
11
01
00
10
01
10
00
10
00
11
10
00
00
10
11
10
11
11
00
00
10
10
01
10
11
01
01
10
01
11
11
00
00
00
10
01
00
10
10
00
01
00
10
10
11
00
10
10
01
00
00
01
00
10
00
00
10
01
00
10
11
10
00
11
11
01
00
00
00
00
11
00
00
10
10
10
01
10
10
10
00
01
10
10
01
00
10
10
00
00
00
10
10
10
01
00
11
10
11
10
00
00
00
00
10
10
00
10
00
00
01
00
01
01
10
00
10
00
11
01
10
00
10
00
00
01
10
10
00
00
10
01
00
10
10
00
00
10
10
00
10
10
10
10
10
01
10
11
00
11
11
11
01
11
00
01
00
10
00
00
10
10
00
01
10
10
00
01
00
11
00
11
00
01
10
01
10
00
10
10
10
01
01
11
11
11
11
00
10
00
00
10
11
00
00
11
00
00
00
00
10
01
01
10
11
10
00
00
00
11
01
10
00
00
00
11
01
11
10
00
00
10
00
00
11
11
00
01
00
00
11
10
00
00
01
10
01
11
11
00
00
10
10
00
10
00
01
10
00
00
00
00
10
01
00
00
11
00
00
01
00
01
00
10
00
10
10
11
00
00
11
10
10
10
01
11
01
10
00
00
10
10
00
00
10
01
11
10
00
00
01
01
10
11
01
00
00
10
01
10
10
10
10
00
00
10
00
11
11
01
01
10
00
11
10
11
11
00
10
10
00
00
10
10
00
00
10
10
10
01
01
00
10
00
00
11
00
00
10
00
11
11
10
10
00
10
11
01
10
00
01
00
11
00
11
10
10
10
10
00
00
10
10
10
10
11
10
00
10
00
00
11
01
11
10
11
10
00
00
01
01
10
10
01
00
10
10
11
11
00
11
10
00
10
10
00
01
01
10
10
01
10
10
10
11
10
00
10
00
10
11
01
00
10
11
01
01
00
01
01
00
00
10
10
00
10
00
10
01
00
11
11
00
10
10
10
00
10
10
00
00
10
10
11
00
10
10
00
10
01
00
10
10
00
00
01
01
10
11
00
01
00
10
00
01
11
10
00
01
01
10
00
11
01
10
10
10
10
00
10
10
00
11
00
10
01
01
00
00
11
11
00
11
00
01
11
10
10
00
10
10
00
00
10
10
01
01
10
00
10
00
11
10
00
00
00
11
10
10
01
01
10
10
11
00
10
10
00
10
11
01
01
00
11
10
10
10
01
00
10
01
00
01
10
00
11
11
10
00
10
10
11
00
01
10
10
00
11
11
10
00
01
10
11
00
10
10
10
00
11
00
00
00
00
00
10
11
01
00
11
00
10
10
00
00
01
10
10
10
01
11
00
10
10
01
00
00
10
00
10
10
10
00
10
11
01
10
11
10
01
00
10
01
10
10
11
01
01
10
10
01
01
00
01
10
11
01
01
10
11
00
10
11
00
01
00
00
10
00
10
00
00
11
00
01
11
10
00
11
11
00
11
10
01
11
11
01
01
01
10
10
10
10
00
10
11
00
00
10
00
10
01
01
00
11
10
10
01
01
00
01
10
00
00
11
11
10
01
10
00
10
11
00
00
11
10
10
00
00
10
10
00
11
00
00
10
00
11
01
00
10
00
00
00
00
11
10
01
00
10
01
00
01
10
11
00
01
10
10
00
00
10
10
10
10
00
10
11
11
00
00
00
00
11
10
01
10
10
01
00
10
00
01
10
11
11
11
00
10
00
10
10
01
00
11
10
10
00
00
01
00
10
10
00
00
10
00
01
00
01
01
10
00
00
00
10
00
00
11
10
11
00
11
10
00
10
10
00
00
10
01
01
00
11
01
11
00
10
10
00
00
11
00
01
11
00
01
10
10
00
11
00
10
10
10
01
10
11
00
10
10
11
00
00
10
10
10
11
11
11
11
11
00
00
11
10
00
00
00
11
10
00
10
11
00
11
10
01
01
11
10
00
11
00
00
10
00
00
11
10
10
10
00
10
10
10
01
01
10
01
10
10
00
10
00
01
10
11
01
11
10
10
01
10
10
01
00
11
10
01
01
11
11
10
01
10
00
00
10
11
00
01
00
00
11
01
10
00
10
00
10
01
10
10
00
00
10
10
00
11
10
11
11
10
00
00
00
01
10
10
00
10
10
00
10
01
10
10
00
00
10
00
10
10
01
01
01
11
10
10
11
01
11
10
01
11
10
11
01
01
01
10
10
00
11
10
11
00
00
00
10
10
00
10
10
11
00
01
11
00
10
01
00
00
00
11
11
00
00
11
11
01
10
11
00
00
00
01
11
10
01
10
10
00
00
01
10
11
01
10
11
00
10
00
11
11
10
10
00
00
10
00
10
00
10
11
00
11
00
01
00
00
11
00
11
11
10
10
10
00
01
11
11
01
10
11
00
01
10
11
01
01
10
11
00
00
00
01
10
11
00
00
11
11
11
10
00
00
00
11
11
10
01
11
10
01
01
00
10
01
10
10
10
01
01
10
01
10
10
00
10
11
10
10
00
11
10
10
00
10
00
01
00
11
10
11
10
10
11
00
11
10
10
10
11
10
01
00
11
10
10
00
10
10
01
00
10
00
00
00
01
10
00
10
10
00
10
10
10
01
00
11
11
10
10
11
11
00
10
10
01
00
00
10
10
00
11
00
10
10
01
00
01
10
10
10
00
00
10
10
00
00
00
00
00
00
01
00
11
10
01
10
10
10
00
11
10
11
00
11
11
01
01
01
10
10
10
10
00
10
11
00
01
01
11
11
00
01
00
00
10
00
00
11
10
00
00
00
00
10
00
10
10
01
00
10
11
10
10
10
01
00
11
01
11
11
00
10
10
10
00
11
10
00
00
00
00
11
10
00
10
00
01
10
10
00
10
11
00
10
00
10
10
11
11
01
10
01
11
01
10
11
11
00
00
00
00
11
10
00
01
10
10
00
01
11
10
11
01
10
01
01
00
10
11
00
00
00
10
10
11
00
10
00
01
10
00
10
00
10
11
00
00
01
11
00
01
00
00
11
00
00
11
11
01
10
00
10
11
10
00
01
10
10
11
10
11
10
00
00
00
00
10
01
00
10
10
00
00
10
11
10
00
00
00
00
11
10
10
10
10
00
00
11
10
00
01
00
01
11
01
11
11
00
11
10
01
11
00
00
11
11
11
00
00
10
10
11
00
10
11
00
10
10
00
00
00
01
00
11
00
10
00
11
00
11
11
00
11
10
00
11
10
10
00
11
10
10
00
11
11
00
00
10
11
00
10
01
01
00
00
11
11
11
00
01
10
11
10
10
00
00
00
00
10
11
10
00
00
00
01
01
10
11
10
10
11
01
10
11
10
10
11
01
00
00
10
00
01
10
00
00
10
00
01
11
10
11
01
10
01
00
11
01
00
11
10
10
01
11
00
10
11
00
10
00
00
00
00
10
01
10
11
10
00
00
00
00
10
10
00
00
10
00
01
10
11
00
00
10
11
10
10
01
00
00
11
01
01
11
10
10
10
01
00
00
10
10
01
01
00
11
00
01
01
00
11
10
10
01
10
10
10
10
00
01
10
10
00
01
10
10
00
10
01
10
00
01
10
11
00
01
00
01
00
00
11
10
00
10
10
00
11
00
01
00
01
00
01
10
11
01
00
10
11
11
00
00
10
00
00
00
00
00
00
10
10
00
00
01
10
10
10
00
01
01
01
10
01
10
11
10
11
01
10
10
00
10
10
10
00
00
11
10
00
10
00
10
00
01
00
01
10
00
01
00
00
00
10
10
11
10
10
11
11
00
00
10
11
10
00
00
00
00
10
11
11
01
11
10
00
00
01
01
11
11
01
10
00
11
00
01
00
10
11
00
00
11
00
00
00
10
00
10
00
00
01
10
10
01
00
11
11
00
11
00
11
01
01
00
10
11
00
00
11
00
00
10
01
10
00
10
10
00
00
11
01
11
00
10
00
10
01
00
10
10
00
01
10
10
00
01
01
01
00
11
00
11
10
10
00
00
01
00
01
11
01
00
01
10
01
10
11
11
00
00
10
10
01
00
11
11
11
01
01
10
10
10
00
00
00
01
10
00
11
11
11
00
00
01
10
00
10
10
00
11
00
00
00
11
00
00
00
01
11
01
11
01
00
11
00
10
00
10
10
00
00
00
10
00
01
00
00
11
10
11
11
00
10
10
00
11
10
00
01
00
01
10
10
10
00
00
10
11
01
10
00
00
00
00
11
10
00
10
11
11
11
11
01
01
10
10
10
00
00
10
11
10
00
00
01
10
10
01
00
00
10
10
10
10
01
10
10
00
01
00
01
00
11
11
00
10
01
11
11
11
00
00
11
00
00
10
11
01
10
10
10
10
00
00
00
01
10
00
10
00
11
11
11
01
01
10
01
10
11
10
00
01
00
10
10
00
00
00
10
10
00
10
00
10
01
00
01
11
10
00
01
01
01
10
10
00
01
10
00
00
11
00
01
00
10
10
01
00
11
00
00
10
11
11
01
01
10
11
01
01
00
10
11
01
00
10
10
01
11
10
11
00
00
00
00
10
10
01
00
00
00
01
01
11
10
00
00
10
10
10
10
10
11
10
01
00
00
10
10
01
01
10
01
00
01
00
00
11
00
10
11
00
10
10
00
01
10
10
00
00
10
11
01
00
10
10
11
00
01
01
10
11
10
11
00
01
11
10
11
00
00
10
00
01
01
10
10
00
11
00
11
00
01
11
11
01
00
10
10
00
01
10
11
01
01
11
01
10
10
10
11
00
00
00
10
00
00
10
10
10
11
11
10
10
00
01
10
01
01
10
10
01
10
10
11
01
00
00
10
01
10
01
00
10
00
10
11
00
00
00
11
00
00
10
00
00
11
00
10
10
01
00
01
10
00
11
11
00
10
00
01
00
00
00
00
10
00
00
10
11
10
00
00
10
10
11
10
11
01
11
00
01
01
11
11
01
00
10
10
00
00
00
10
10
11
10
10
01
00
01
00
00
00
01
11
10
10
00
01
10
00
00
10
10
10
00
01
00
00
10
11
10
11
00
01
00
01
10
10
10
01
11
11
00
11
10
10
01
00
11
10
10
01
00
01
11
00
01
11
01
01
00
10
11
00
11
00
00
11
00
00
11
10
00
10
01
00
01
10
00
00
00
00
01
10
10
01
11
00
01
01
10
10
00
10
10
00
01
11
10
01
10
00
01
00
01
01
11
10
00
00
10
11
00
00
11
00
00
01
00
00
10
10
10
10
01
00
01
01
00
10
11
00
00
00
10
10
00
10
00
00
00
00
10
00
10
00
10
01
00
10
10
00
01
01
10
10
11
10
10
00
10
10
11
10
00
00
00
10
00
00
00
00
11
11
10
10
01
00
10
00
00
10
00
10
10
00
10
00
10
10
10
00
10
11
00
10
01
00
11
00
10
11
01
11
11
01
00
01
00
10
10
10
00
00
00
11
01
00
01
01
00
11
10
11
01
00
10
10
10
00
00
00
11
10
10
01
11
01
01
11
01
01
00
01
01
11
10
01
00
10
00
00
00
00
11
00
11
10
10
10
10
00
01
00
10
00
11
01
01
11
11
00
10
00
01
10
11
00
00
01
01
01
10
10
01
00
10
10
10
00
00
01
10
10
00
00
01
11
10
01
10
01
01
10
01
00
10
11
10
10
00
01
11
01
11
11
10
00
10
10
01
10
10
00
00
10
11
10
00
00
01
10
10
10
00
00
00
00
10
11
10
01
01
01
10
10
00
00
10
10
00
01
10
10
10
01
10
01
10
10
00
00
00
10
11
00
00
00
11
10
00
01
00
00
01
10
10
00
11
00
01
10
10
01
11
10
00
01
10
10
00
10
11
00
00
10
00
10
10
01
01
00
11
01
01
00
00
01
10
10
00
10
10
00
00
00
01
10
01
11
00
11
00
00
01
01
11
01
01
11
11
01
11
10
00
00
10
11
00
00
10
11
00
00
11
11
00
00
10
01
11
11
01
11
10
11
00
00
10
10
01
10
10
01
10
00
01
10
11
00
00
11
00
01
00
01
00
10
11
01
00
10
00
01
10
01
00
10
10
10
10
11
10
01
00
01
00
10
10
10
10
00
11
11
10
00
01
01
11
10
00
00
11
10
10
00
00
11
10
10
10
10
01
10
10
00
10
00
10
00
00
00
00
10
10
10
00
00
01
00
01
10
10
10
10
11
01
10
11
10
11
00
01
01
01
00
00
11
11
10
10
00
10
10
00
00
00
00
00
10
11
00
10
00
10
01
11
11
00
10
01
00
10
10
10
11
01
10
01
10
10
10
00
00
00
11
10
10
00
00
01
10
00
11
11
00
10
00
00
00
00
00
01
10
01
10
01
10
11
11
10
10
01
00
11
11
01
10
10
10
10
00
00
00
11
01
01
10
11
10
10
11
01
10
11
00
00
01
11
10
01
00
10
00
00
11
01
10
01
10
11
11
10
00
10
10
01
00
10
00
11
01
00
10
10
10
00
10
11
01
00
11
00
01
11
00
00
11
10
00
00
01
00
10
10
01
00
01
00
10
00
10
00
01
01
00
01
10
10
00
00
10
00
01
10
11
11
10
01
01
10
10
00
00
10
10
00
00
01
00
10
10
01
10
01
10
10
01
00
00
10
11
01
10
10
01
10
11
10
00
11
11
10
10
00
00
00
00
00
00
11
10
10
00
10
01
00
01
10
11
00
10
10
10
00
01
00
11
01
10
00
00
11
01
11
10
00
00
00
10
00
00
10
01
10
10
01
00
10
00
01
10
10
10
00
10
10
10
10
10
10
01
10
00
10
11
11
11
10
11
00
00
00
10
00
01
11
10
11
00
10
00
10
11
10
11
01
00
10
10
00
00
00
00
00
00
01
11
10
11
00
00
10
10
10
10
00
00
00
00
00
10
10
10
10
10
00
00
01
00
11
00
01
00
00
01
10
11
10
01
01
10
11
00
11
10
11
00
00
11
11
11
00
00
01
11
01
01
01
00
10
10
10
11
00
00
00
01
11
11
01
01
00
10
11
00
00
10
00
00
01
10
10
00
01
11
01
11
10
11
10
10
00
00
10
10
00
01
11
11
10
01
11
10
01
01
10
11
00
00
00
10
00
01
10
11
10
00
01
00
11
00
10
10
00
00
00
00
11
00
11
10
01
10
10
10
01
01
10
00
01
01
00
10
10
00
00
11
00
10
10
01
11
10
10
10
00
00
00
00
00
11
10
00
01
10
10
01
01
10
00
01
11
10
00
10
10
00
10
11
10
10
10
10
10
01
00
10
00
00
01
01
01
00
10
11
10
11
00
00
10
10
10
00
00
10
00
01
10
00
11
00
00
10
01
11
00
00
10
10
00
10
00
00
11
00
01
00
01
00
00
00
10
10
00
00
10
10
01
01
00
01
01
01
10
10
00
10
10
11
10
00
00
11
00
11
11
00
11
10
11
01
11
10
01
10
11
00
00
10
00
00
10
11
11
10
10
00
00
10
00
00
00
00
11
11
00
11
10
11
00
00
01
10
00
10
01
00
10
00
01
00
10
00
11
10
00
01
11
10
01
01
10
01
01
10
10
11
01
10
11
00
01
11
11
01
01
00
11
11
11
01
01
10
11
11
00
00
00
10
10
11
01
00
01
10
11
10
01
10
01
00
10
00
00
10
10
10
00
01
00
00
10
10
11
10
00
00
10
10
01
10
10
10
00
10
10
00
00
00
10
00
10
00
00
01
10
00
11
10
00
11
11
00
11
11
00
00
11
10
00
01
11
10
11
01
01
00
00
11
10
10
00
00
00
10
01
00
00
10
10
10
01
00
10
01
11
11
00
10
00
10
10
00
01
11
00
10
00
00
10
10
00
10
10
10
10
10
00
00
10
10
11
10
10
01
00
00
10
00
00
00
00
10
00
00
01
10
00
10
10
00
10
10
01
10
10
10
00
10
10
11
00
11
10
10
00
10
00
10
00
01
10
10
10
00
00
10
01
10
00
10
00
00
00
01
00
10
01
10
10
01
11
01
01
01
01
10
10
11
10
01
10
10
00
00
01
11
00
00
01
00
00
00
00
10
00
11
10
00
00
10
10
10
11
11
11
10
10
00
01
10
11
00
00
11
00
10
00
10
10
00
00
00
11
10
10
11
01
10
10
00
00
00
00
10
10
10
00
00
10
00
10
10
01
00
01
10
01
11
00
00
01
00
10
01
10
00
10
10
00
11
00
10
11
00
11
10
10
00
10
10
00
00
11
11
00
10
01
01
01
01
00
10
00
00
01
00
11
01
00
00
00
11
11
10
00
00
01
00
00
11
10
00
01
11
11
10
00
00
10
00
10
10
00
10
00
10
01
00
10
10
10
11
10
11
10
10
01
00
00
10
00
01
11
11
00
01
01
10
11
00
10
01
00
10
10
00
00
01
00
00
00
11
00
00
00
10
10
01
10
11
10
00
00
11
00
01
10
10
01
01
10
01
10
10
10
01
01
10
01
01
10
10
01
01
10
10
00
01
10
10
01
10
01
00
10
10
00
00
10
11
10
10
00
01
00
11
10
11
01
01
10
00
01
11
00
00
00
11
11
11
01
10
11
10
10
10
10
00
01
11
01
01
10
00
00
00
00
11
11
01
01
10
11
00
00
10
00
10
11
00
00
11
10
10
01
10
00
10
00
00
00
01
10
10
00
00
00
01
10
10
01
00
11
00
10
10
11
01
00
00
10
11
00
00
10
00
00
10
10
11
10
00
00
00
00
00
11
10
01
10
00
00
10
10
01
10
10
10
00
01
10
00
00
10
11
01
11
11
00
00
00
11
10
00
11
10
10
10
00
01
10
10
00
00
11
11
01
00
01
11
11
00
00
00
11
11
00
00
10
00
10
01
00
11
10
00
00
11
00
00
11
10
10
00
10
10
00
00
00
10
10
00
01
00
00
01
10
10
10
01
10
01
10
10
11
01
01
11
10
11
00
00
10
10
11
00
10
00
10
10
01
10
10
00
00
00
01
00
00
01
01
00
01
01
10
00
00
11
00
00
11
10
11
00
01
10
11
00
00
01
11
01
10
00
00
10
00
11
00
00
11
00
00
00
00
10
01
00
11
10
10
10
10
00
11
01
00
00
01
11
00
01
10
01
00
11
00
11
10
00
11
11
11
00
00
10
01
10
00
00
10
11
11
00
00
01
10
10
00
00
11
01
00
10
00
00
00
00
01
01
10
11
11
01
00
01
10
10
01
00
00
10
00
01
00
00
01
10
00
00
11
10
00
00
01
11
10
10
00
11
10
00
10
10
01
01
00
01
11
01
00
00
10
01
01
11
00
10
00
11
10
00
11
10
10
11
10
00
10
10
10
10
00
00
10
10
10
10
00
10
01
00
11
11
00
00
10
00
11
01
10
10
00
00
00
10
00
00
10
01
11
10
00
00
10
01
00
10
10
00
00
11
10
10
01
10
01
00
10
10
00
00
00
10
11
01
00
10
10
11
01
00
00
11
10
01
10
10
10
10
11
00
10
01
00
01
01
01
10
10
10
00
00
11
11
01
00
01
00
10
10
11
00
01
10
11
10
00
10
11
10
00
00
11
10
10
00
00
10
00
10
01
11
00
10
11
00
00
10
00
00
11
10
11
10
00
10
10
01
00
10
10
00
01
01
01
10
00
00
00
00
00
00
10
00
01
00
00
01
11
10
11
10
11
10
11
00
10
11
00
10
00
10
10
01
10
11
11
11
00
00
10
11
00
10
00
00
10
00
01
01
10
10
00
00
10
00
01
00
00
11
00
11
11
11
01
01
00
10
10
11
01
01
11
10
00
01
00
00
11
11
01
01
01
10
10
01
10
10
00
00
10
10
00
01
10
11
00
10
11
01
10
01
00
11
00
00
00
10
10
00
01
00
01
00
00
10
10
00
00
10
10
00
00
10
01
11
01
00
10
11
01
11
01
00
10
10
10
01
10
11
00
00
01
10
00
00
10
11
00
10
00
00
00
11
00
10
11
11
01
11
11
00
01
01
00
10
11
01
00
10
00
01
01
11
11
11
10
10
01
00
01
00
11
01
00
11
00
10
10
10
00
00
01
10
10
00
00
11
01
10
10
10
00
10
00
00
00
10
11
10
10
00
10
00
10
01
01
11
01
10
00
11
10
11
01
01
11
10
00
10
01
10
11
00
10
10
00
11
00
00
11
01
10
01
01
11
00
00
01
00
01
11
11
01
00
10
10
11
00
11
11
00
11
11
10
11
00
00
11
00
10
01
10
00
10
10
10
10
00
00
10
10
01
00
00
11
10
00
00
10
00
10
10
01
10
11
10
00
00
00
10
00
11
10
10
10
10
11
10
10
01
11
01
00
00
10
00
00
11
01
00
11
01
01
10
10
00
00
00
10
00
00
00
10
00
10
00
10
01
00
11
00
01
10
10
11
00
00
10
00
00
11
10
11
10
11
00
01
00
01
10
11
00
10
11
01
10
00
11
10
00
11
10
01
00
11
11
01
10
10
11
01
11
01
00
10
00
00
00
00
10
11
10
00
00
11
11
00
10
00
10
10
00
00
01
10
10
10
00
00
10
11
00
10
11
11
11
00
10
11
10
11
10
00
00
10
10
10
00
10
01
00
10
01
10
00
11
11
11
10
01
00
10
10
10
11
10
11
01
00
00
00
11
10
10
01
10
10
01
00
11
11
00
10
10
00
10
10
00
00
11
10
10
11
01
11
11
10
00
10
00
10
00
00
11
00
00
01
11
00
10
10
00
10
00
11
00
10
00
00
10
11
00
01
11
01
00
10
10
01
00
10
10
11
01
01
11
11
11
00
10
10
01
00
10
00
10
00
10
00
00
10
11
00
10
10
01
10
11
00
01
00
01
10
11
00
00
11
11
00
00
10
11
01
11
10
01
10
11
00
00
10
10
01
01
10
10
10
10
11
00
00
11
00
01
10
01
11
11
10
10
00
00
00
11
10
00
00
00
00
10
11
00
11
10
00
10
00
01
10
10
00
10
01
10
00
01
10
00
10
10
00
00
00
10
10
11
10
11
01
10
11
10
00
00
11
10
01
00
10
11
10
00
00
10
10
10
00
00
10
10
01
01
10
00
01
00
10
10
00
10
10
00
00
00
00
11
10
11
10
01
11
11
00
01
00
10
00
00
10
10
11
00
00
01
00
10
00
10
10
10
10
01
10
10
10
10
11
10
10
00
00
11
10
10
10
00
00
11
00
00
00
11
00
11
00
10
01
00
10
10
11
00
01
01
10
00
10
01
00
10
11
10
00
00
00
01
11
10
10
01
11
01
10
00
00
10
01
00
00
10
01
10
11
11
01
00
01
01
01
00
11
10
10
10
00
01
00
00
10
00
00
01
10
10
00
00
10
01
00
11
10
00
01
01
01
01
10
10
00
11
00
00
10
10
10
00
10
00
11
11
00
00
00
10
11
10
00
10
10
01
01
00
10
10
10
00
10
10
10
10
00
00
01
00
00
11
10
10
11
00
10
00
01
01
00
01
00
00
10
01
10
10
10
11
00
00
10
10
00
00
11
00
11
01
01
01
10
00
00
10
10
10
10
01
11
00
10
10
11
11
11
01
01
01
00
10
11
10
00
01
10
10
00
00
11
10
00
00
10
00
10
00
00
00
11
00
10
11
10
00
10
11
11
10
01
00
10
11
00
00
01
01
11
10
11
01
00
10
10
11
00
00
10
01
10
00
00
10
00
01
00
11
01
00
00
11
10
01
00
10
10
10
11
10
00
00
00
01
00
10
11
01
10
10
01
00
00
10
10
10
11
01
01
00
00
00
11
01
01
10
01
00
10
00
11
00
00
10
11
10
00
10
00
00
01
10
10
00
01
10
11
00
00
10
10
00
01
10
10
10
11
10
00
01
01
00
10
10
00
00
11
10
01
10
10
01
00
11
10
10
00
11
10
10
00
00
10
11
01
10
10
10
00
11
10
01
00
10
10
10
00
11
00
00
10
00
10
10
01
10
01
01
01
10
00
10
00
00
10
00
00
11
10
10
11
00
10
11
11
01
11
01
00
11
10
10
00
01
10
11
00
00
00
10
10
00
00
00
10
10
11
10
01
11
10
11
01
00
00
11
10
01
10
10
00
01
01
00
01
11
01
11
10
10
00
01
10
00
11
11
00
00
10
00
00
11
10
10
00
11
00
11
11
00
01
10
11
10
00
01
10
10
00
00
10
10
10
01
00
11
10
10
00
10
11
10
10
01
10
10
10
10
01
11
11
01
11
10
10
01
00
10
10
01
11
10
01
00
10
10
01
01
10
11
00
11
01
11
10
00
01
10
01
10
10
00
00
10
01
01
10
10
10
00
11
10
00
11
00
00
01
10
10
10
00
00
00
10
00
00
11
01
00
11
00
10
00
01
10
00
01
11
10
01
00
11
00
00
00
10
11
10
10
00
00
00
11
00
10
01
01
01
10
00
11
01
01
10
11
10
10
00
00
11
10
11
01
00
00
10
11
10
00
01
10
01
01
10
00
10
00
00
10
11
01
00
11
11
00
00
01
01
11
00
01
10
10
00
10
00
10
11
00
10
00
00
11
11
01
00
10
10
01
10
10
10
00
01
00
10
10
11
00
00
11
10
10
10
00
01
10
10
10
01
10
10
11
00
10
01
10
10
00
00
01
11
10
00
10
01
11
00
11
00
00
10
10
10
11
00
00
01
00
10
10
10
00
10
01
01
01
00
10
00
10
01
10
00
01
00
11
01
00
10
00
00
00
11
11
00
11
00
00
00
10
11
11
00
00
00
00
00
00
10
10
01
10
10
00
10
00
10
01
00
11
10
10
10
00
01
01
01
10
10
11
10
10
01
01
00
00
10
10
10
11
10
01
10
10
10
10
10
00
10
11
01
10
11
11
10
11
10
10
01
00
11
01
01
10
11
10
01
11
10
11
10
01
00
01
10
10
00
01
01
10
01
00
00
11
10
11
00
11
10
00
11
00
00
10
00
00
10
10
00
10
10
01
00
10
11
01
11
00
00
00
00
10
10
01
00
10
10
10
00
01
00
11
01
00
10
00
00
11
00
00
00
00
00
00
01
11
00
01
00
00
00
00
00
10
11
00
10
00
00
10
10
10
10
00
11
00
00
10
10
00
00
10
11
10
10
10
01
00
01
11
11
10
10
10
00
11
00
00
10
01
00
11
00
00
01
11
00
00
10
01
10
10
01
10
10
00
01
11
00
00
10
10
00
10
01
10
10
01
10
00
10
01
00
00
11
10
00
11
10
01
00
11
10
00
00
10
11
00
10
10
00
10
10
00
00
11
10
00
10
01
00
10
11
11
01
01
10
11
01
01
01
10
11
01
01
11
10
00
00
10
10
00
00
11
00
00
10
10
00
10
00
01
10
01
00
11
10
00
10
11
01
01
00
10
10
10
10
10
11
00
00
01
01
00
00
11
00
00
00
10
00
00
10
10
11
10
10
00
11
00
00
00
10
01
00
11
11
10
11
11
10
01
11
11
00
11
00
00
11
00
10
10
10
00
11
10
01
11
00
11
01
11
10
01
01
11
00
00
00
11
10
01
10
10
00
10
10
10
10
00
00
11
00
11
10
01
00
00
10
10
10
11
00
01
00
10
00
00
10
10
10
00
00
00
10
11
10
10
00
00
11
10
01
00
01
11
00
10
01
10
10
11
00
00
00
11
10
01
00
10
11
00
11
10
01
00
01
00
10
00
01
00
10
01
11
10
01
10
01
11
10
10
01
01
10
10
00
10
10
00
00
00
10
10
00
10
01
11
00
10
10
00
01
01
10
00
01
11
11
00
00
11
00
00
00
01
10
11
10
10
10
00
11
00
11
10
11
10
10
11
00
10
00
10
10
11
01
00
00
01
11
11
00
01
10
00
00
00
00
11
11
01
01
10
00
00
11
00
01
10
11
11
10
01
10
01
00
00
10
00
10
10
00
00
10
00
00
00
10
10
01
01
10
10
00
11
10
11
01
10
10
00
10
01
01
11
01
10
10
01
10
10
11
00
00
00
01
10
11
01
01
01
00
00
00
00
11
11
10
10
00
11
10
11
00
10
10
00
10
01
10
11
11
00
01
00
00
00
10
10
10
00
00
10
10
10
10
01
01
01
00
00
11
10
10
10
00
01
10
10
10
11
00
10
00
00
10
10
00
01
01
11
00
10
10
10
11
10
11
00
01
11
00
00
11
00
00
10
10
10
11
00
01
01
00
10
10
10
11
00
01
10
11
00
01
11
00
00
10
00
00
11
11
00
00
10
00
10
00
00
10
10
10
10
10
01
00
00
01
00
00
10
00
10
01
01
11
11
00
01
00
01
10
00
11
11
01
00
10
11
01
00
00
11
10
10
10
01
00
00
10
11
11
00
01
10
00
11
01
10
11
11
10
10
00
10
10
01
01
01
00
10
10
10
00
00
10
11
11
00
10
10
11
10
00
00
10
00
00
10
01
10
10
10
00
00
10
11
10
01
01
10
01
01
10
01
00
11
11
11
00
10
10
00
10
00
00
10
01
10
11
10
10
00
00
10
11
10
00
00
10
11
10
11
11
00
00
00
00
11
11
01
00
10
10
10
11
00
00
11
10
01
10
00
00
10
10
00
01
11
00
10
00
00
00
01
00
11
11
10
00
01
10
00
00
10
10
00
10
10
10
00
01
00
10
00
11
01
11
11
11
10
11
00
00
01
01
11
11
10
00
00
00
00
10
10
00
00
11
10
01
01
01
00
10
01
01
00
10
10
00
00
00
10
00
00
10
01
10
11
00
00
00
00
10
01
01
00
10
10
00
01
10
10
00
01
00
00
01
00
10
10
00
11
10
00
01
00
00
10
00
00
00
00
10
00
01
00
10
00
00
00
01
00
10
00
10
00
11
00
01
00
00
00
00
11
11
01
10
00
00
01
11
10
11
01
01
00
10
10
01
01
11
10
01
01
00
10
01
11
10
00
00
01
10
00
00
10
10
10
10
10
01
11
00
00
10
00
00
00
10
10
00
00
00
01
00
01
10
01
01
00
11
11
10
00
11
11
11
00
00
00
11
00
00
10
10
01
00
10
01
10
10
00
01
11
10
00
10
00
10
10
00
00
10
10
10
00
11
00
00
00
00
01
00
10
11
10
11
10
11
10
00
00
00
10
10
00
11
00
00
01
10
00
01
10
10
00
00
10
01
10
01
00
11
11
10
01
00
11
10
01
00
10
00
01
10
10
00
01
10
00
00
10
01
01
11
00
00
01
00
10
00
00
10
00
10
10
11
10
10
10
00
10
10
10
00
00
00
10
10
00
11
00
00
10
10
00
10
10
10
10
00
10
10
11
10
00
00
00
11
10
10
11
11
00
10
11
00
00
10
11
10
01
00
00
00
11
11
01
10
00
00
10
00
10
11
00
00
11
11
00
00
10
10
11
10
01
00
11
11
11
10
00
10
00
11
11
01
10
11
10
00
00
00
10
10
01
00
00
10
10
01
01
10
10
00
00
00
01
10
10
01
11
00
11
10
10
10
00
10
10
00
00
00
10
10
10
10
11
10
10
00
10
01
10
00
00
00
11
10
10
10
01
10
10
10
01
00
11
11
10
00
00
10
10
10
00
01
00
11
10
00
10
10
01
10
00
00
00
10
10
10
10
01
11
01
00
10
00
00
10
01
00
11
00
01
10
10
00
01
00
10
00
01
00
00
00
11
10
10
00
00
10
01
10
11
01
10
00
11
01
01
10
10
00
11
00
01
10
10
01
01
00
10
01
00
10
00
10
00
10
10
00
10
01
00
10
00
01
00
00
10
11
10
00
11
00
11
10
10
10
10
00
10
10
01
11
10
11
10
01
00
00
10
01
01
11
00
01
00
10
11
00
10
10
01
00
10
10
01
01
10
10
00
01
10
01
10
01
11
11
01
00
11
00
00
10
11
00
00
10
11
11
10
10
01
11
00
01
10
00
10
10
11
00
01
11
11
10
11
10
00
10
11
00
01
01
00
01
10
10
00
11
01
01
00
10
00
10
10
00
10
10
11
10
10
01
10
00
01
00
00
10
00
10
10
00
11
00
00
00
00
11
00
00
10
00
10
10
10
10
01
10
00
01
11
11
11
10
11
00
00
11
11
00
00
11
00
01
01
00
10
10
00
10
00
01
10
10
00
01
10
10
00
00
11
10
11
01
01
10
00
01
01
01
10
01
01
00
00
10
10
00
00
11
10
10
10
00
01
10
00
11
11
01
01
00
10
10
00
11
10
01
01
11
10
00
00
00
00
11
11
10
00
00
10
10
00
11
00
11
11
10
10
00
10
00
00
00
11
11
01
10
10
10
00
10
11
10
00
00
11
01
00
10
10
01
10
11
10
00
11
00
01
10
00
11
11
10
01
11
11
01
00
00
10
11
10
01
00
11
10
00
11
00
11
11
10
00
10
10
01
00
10
00
00
10
10
01
00
10
00
10
10
10
00
00
10
11
00
00
01
10
00
01
10
00
10
11
01
10
00
00
00
11
01
10
10
01
01
11
10
01
10
00
10
10
01
11
00
11
00
00
01
00
10
00
11
00
01
10
00
00
10
00
00
00
10
00
01
11
11
00
10
01
01
00
01
00
11
10
00
10
10
00
00
11
11
00
11
11
10
00
00
00
11
10
01
00
01
10
00
00
10
11
10
10
00
01
11
00
10
00
10
10
10
00
00
10
10
10
00
01
10
10
11
01
00
00
01
10
10
11
10
01
00
01
11
00
01
10
10
10
11
00
00
11
10
00
01
00
00
01
11
00
00
00
10
01
11
10
00
10
10
10
00
00
01
10
01
00
10
10
01
10
10
10
00
00
00
01
11
11
00
00
00
10
10
00
00
10
11
00
11
10
01
10
00
00
01
01
10
00
00
01
10
00
00
11
00
00
10
10
00
00
01
00
00
00
10
00
10
00
10
10
11
00
11
11
00
00
10
10
10
01
10
01
00
00
10
01
00
00
00
11
00
00
10
10
00
10
11
00
10
10
00
01
10
10
01
01
11
11
10
00
10
01
01
10
00
00
11
01
00
10
10
10
00
10
00
10
10
11
10
01
11
01
11
10
00
00
01
11
01
10
11
10
11
11
11
01
00
10
10
01
00
10
10
10
10
00
10
01
10
00
10
01
01
10
10
00
01
10
10
00
00
10
00
10
10
10
00
00
00
10
01
10
00
00
01
01
10
11
10
01
11
00
01
10
01
10
00
11
00
00
10
01
00
10
00
10
00
00
10
01
00
10
10
00
01
00
00
00
00
10
10
00
10
01
10
10
10
11
00
00
00
11
11
11
00
01
01
10
10
00
00
10
10
01
11
00
01
11
10
00
00
11
00
01
10
11
00
00
01
00
11
11
00
00
00
10
11
01
10
10
00
00
01
00
00
00
10
01
00
01
10
00
00
11
10
00
00
10
10
10
11
10
01
01
00
00
00
10
11
00
01
00
00
10
01
00
00
11
00
00
01
10
01
11
11
00
10
10
10
10
00
00
10
10
10
10
10
11
00
01
00
10
00
00
10
00
10
11
01
01
10
10
01
11
00
10
00
00
10
00
10
00
01
10
00
10
10
10
10
01
01
10
10
10
00
00
10
10
11
00
11
10
00
00
11
10
01
10
01
10
10
01
11
10
11
01
00
10
00
00
00
10
00
10
11
01
10
10
10
00
10
10
01
00
10
10
11
10
01
01
11
10
10
00
00
10
11
00
01
10
00
10
10
10
10
10
01
00
01
01
01
01
00
11
10
01
01
10
11
00
10
00
00
10
10
00
01
11
01
00
11
10
11
10
01
00
11
11
00
01
00
11
00
01
10
00
10
11
10
10
10
00
00
10
11
10
11
01
00
00
10
00
01
00
10
10
10
00
10
00
00
00
10
00
11
10
11
00
01
00
10
00
00
00
00
10
10
01
10
10
10
11
10
00
11
01
10
00
11
11
10
00
01
00
00
11
00
01
11
10
11
00
10
10
01
00
00
00
10
01
00
10
00
00
10
00
00
10
10
01
10
11
10
10
00
00
01
10
00
00
10
10
11
00
11
00
11
11
10
00
00
01
10
01
00
01
00
10
10
10
00
00
11
10
01
00
01
00
10
00
01
00
10
10
01
00
10
10
00
10
11
10
01
00
10
11
00
00
10
00
01
01
10
11
00
01
11
01
11
11
00
00
01
10
11
01
00
10
10
10
01
00
01
11
10
10
10
00
10
10
00
00
01
01
01
10
10
00
00
11
00
11
10
00
00
10
00
01
00
10
00
00
11
11
10
01
00
11
01
01
01
10
10
00
11
00
00
10
11
10
10
10
00
10
00
10
10
10
00
00
00
11
01
11
10
00
00
11
10
00
10
10
10
11
00
00
11
10
10
01
10
11
11
11
11
10
10
01
00
10
10
00
00
11
10
10
10
00
00
00
00
10
10
01
11
10
01
11
10
11
10
00
10
10
01
10
10
00
10
01
01
10
10
10
11
10
01
10
01
10
10
00
10
00
00
10
00
01
00
10
10
00
01
10
11
11
10
00
01
00
10
00
01
00
01
01
01
00
00
01
10
01
11
01
00
01
10
00
10
00
00
10
10
10
11
00
10
00
00
01
00
00
00
00
11
10
10
01
11
10
01
10
10
10
00
11
11
00
01
00
00
10
11
01
01
11
11
00
01
00
10
00
11
10
00
00
00
01
01
10
10
11
00
11
10
11
10
01
11
01
10
10
00
01
00
11
10
10
01
10
00
00
00
00
11
10
10
10
00
10
00
10
10
00
00
10
11
10
01
00
00
01
10
01
01
00
10
11
01
00
01
10
01
00
10
00
11
10
00
10
00
01
10
11
10
10
10
00
00
10
11
00
10
00
10
10
00
00
11
00
10
00
00
10
00
00
10
10
01
10
11
01
01
00
00
00
10
11
00
01
10
00
11
11
00
10
01
00
00
10
10
01
01
01
00
00
11
10
01
10
11
00
00
10
10
01
01
11
10
10
11
11
00
00
10
10
10
00
00
10
01
10
11
00
00
00
11
10
11
01
01
10
10
10
10
00
00
10
10
11
11
11
00
10
10
00
11
11
00
00
10
11
00
01
01
11
11
00
10
00
10
10
00
10
10
00
00
10
10
00
01
00
10
10
10
01
00
10
01
10
11
10
11
11
00
00
00
01
11
01
11
10
10
01
00
11
00
10
11
00
00
10
11
11
10
10
00
01
11
00
00
01
01
01
00
11
00
11
00
00
10
10
10
00
10
10
01
10
10
10
00
00
00
10
00
00
01
00
01
00
01
01
00
10
00
10
10
11
00
01
00
00
11
00
10
11
10
01
01
00
00
01
10
10
11
01
00
00
10
10
10
00
10
11
00
00
01
10
10
10
11
00
11
11
01
01
00
10
10
11
00
00
10
11
10
10
00
01
01
01
10
10
00
11
10
01
10
10
11
00
00
11
10
00
00
00
00
11
11
00
11
10
01
00
00
11
11
01
01
00
11
10
00
01
10
11
00
11
11
01
01
00
00
10
11
10
00
00
10
00
00
00
11
11
10
00
11
11
01
11
10
00
00
10
00
00
10
10
01
00
00
11
10
01
00
00
00
10
01
10
00
11
11
10
00
10
11
10
00
00
00
01
00
00
11
01
01
01
10
11
01
10
01
10
10
00
00
10
11
00
01
00
11
00
01
00
10
01
01
10
01
10
10
10
00
00
00
10
00
00
01
00
01
00
00
10
10
11
01
01
10
10
10
00
00
00
00
10
11
00
10
01
10
00
11
00
10
00
00
10
01
10
10
11
00
10
00
01
10
10
10
00
00
11
11
00
00
01
10
10
01
01
10
10
10
10
01
00
10
01
00
01
10
10
00
00
10
00
00
11
10
01
10
00
00
10
00
10
10
01
01
11
11
00
01
11
10
01
00
10
10
00
00
10
11
01
00
00
10
11
10
00
11
01
00
11
01
10
11
00
01
00
10
10
10
00
01
00
10
00
00
10
01
11
00
00
00
00
00
01
10
00
01
00
11
00
10
11
00
11
01
10
11
00
01
10
11
01
11
00
00
00
11
00
00
00
10
01
10
10
00
10
10
01
11
10
00
00
00
00
10
00
01
01
10
10
10
10
00
00
10
10
01
01
10
10
00
00
11
11
10
11
10
01
11
10
10
01
10
10
01
00
10
11
00
01
01
00
00
00
10
00
00
10
10
00
10
10
10
00
00
00
10
10
00
00
10
00
00
01
10
10
11
00
00
10
00
10
10
01
11
11
00
01
11
11
11
00
00
10
11
10
01
00
10
01
00
10
11
10
00
11
11
10
00
11
11
01
00
01
00
11
11
00
11
00
01
10
11
11
11
00
10
00
01
10
00
01
11
00
10
10
10
10
01
00
10
10
10
01
00
11
11
11
00
01
10
00
00
00
00
00
10
10
10
10
10
01
00
00
00
00
10
00
01
00
10
10
11
11
00
00
00
11
01
10
00
00
00
10
11
10
01
11
10
01
00
00
10
00
11
01
00
10
01
01
00
11
11
01
10
00
10
10
00
00
11
01
00
10
11
00
00
00
00
11
10
10
01
01
10
10
10
10
00
00
10
10
00
00
10
00
00
10
00
01
10
10
01
01
00
00
00
11
00
00
10
00
00
00
10
11
11
10
11
10
11
01
10
00
11
10
11
10
00
00
00
00
10
01
01
10
10
00
10
00
10
11
00
11
11
10
10
01
10
01
10
11
01
10
11
01
01
11
11
01
11
10
00
10
10
00
00
10
11
01
11
00
11
10
10
10
10
00
00
00
11
10
00
10
10
00
10
11
00
00
00
10
10
00
01
10
10
00
01
00
00
11
11
01
11
10
10
10
00
01
10
10
00
00
11
01
10
10
10
10
00
01
10
10
01
00
11
01
10
00
10
10
01
01
10
00
10
01
11
10
00
00
10
00
00
00
10
11
00
01
00
00
01
10
11
10
11
00
11
11
01
10
00
11
10
01
01
11
10
00
00
10
10
00
00
01
01
10
00
01
00
10
10
01
10
10
11
01
11
11
01
11
11
00
00
10
00
00
10
10
00
00
10
00
11
01
01
10
00
10
11
00
00
10
00
00
10
11
00
10
10
10
00
00
00
00
01
01
11
10
00
01
01
11
00
01
10
00
00
00
10
00
00
10
10
00
10
01
00
10
10
10
00
00
00
01
01
01
00
00
11
10
10
10
00
01
00
10
10
11
01
10
00
00
11
11
11
11
00
01
10
00
00
10
10
01
00
10
10
10
10
10
00
01
10
00
11
01
01
00
10
01
00
00
10
10
00
10
10
10
00
00
01
00
10
11
10
01
00
01
10
00
00
01
10
11
01
00
00
10
11
10
00
00
00
10
00
10
00
10
10
01
11
10
11
01
10
11
11
00
00
10
11
11
01
00
00
11
00
11
10
11
00
00
11
01
11
00
10
00
00
11
10
11
01
10
01
10
01
00
10
10
00
00
10
10
10
01
11
00
11
00
01
11
11
11
00
00
11
00
00
11
10
00
00
10
10
01
10
10
00
01
10
01
00
01
10
00
10
00
11
10
00
00
00
01
10
00
01
10
10
00
01
10
00
00
01
10
10
10
00
00
00
01
10
00
01
11
10
10
01
01
10
10
11
10
00
00
00
00
01
00
01
10
00
00
11
11
11
00
00
10
00
01
01
10
10
00
01
00
00
10
10
00
00
10
11
01
11
00
10
01
10
10
01
00
01
00
10
10
10
00
10
10
00
01
01
01
00
11
10
10
00
10
01
00
01
00
00
11
11
10
11
00
10
00
00
01
00
10
10
01
01
10
10
11
00
10
10
00
00
11
10
10
01
00
00
11
10
00
01
00
11
01
01
10
10
01
11
10
00
10
01
11
11
01
10
00
11
01
00
00
11
10
10
10
01
10
11
00
10
01
00
11
00
10
10
00
10
11
10
01
00
00
10
10
10
10
00
00
10
11
10
01
00
10
01
01
11
10
00
10
00
01
00
00
11
11
01
10
10
11
10
00
01
01
10
00
00
00
00
11
11
00
00
10
10
00
10
00
11
11
01
10
00
00
01
00
00
11
10
10
00
11
11
01
10
01
00
10
10
11
11
01
10
00
01
10
00
11
10
00
10
10
00
00
01
10
10
10
10
01
00
10
10
10
00
10
01
00
10
00
11
10
01
11
01
11
00
01
00
00
10
00
01
01
10
10
10
10
10
01
01
10
11
10
01
00
11
10
10
00
01
10
10
10
10
01
01
00
01
10
00
00
00
00
00
10
10
10
01
11
11
00
00
00
01
10
00
11
11
10
01
01
01
00
01
01
10
10
01
10
11
01
10
10
10
10
01
01
01
10
00
00
10
10
01
01
10
10
10
11
10
10
10
00
10
11
10
10
11
01
01
01
00
10
10
00
01
01
10
11
00
10
10
01
00
01
00
10
10
11
00
00
01
11
00
01
10
10
00
11
00
11
00
00
00
11
00
01
00
10
10
11
10
01
10
11
01
01
01
00
00
10
10
00
00
00
10
00
10
11
00
01
11
00
10
00
01
10
11
00
10
11
10
00
10
00
01
10
11
00
00
10
00
01
00
11
10
00
00
00
00
10
11
10
01
00
10
10
10
11
01
00
10
11
10
10
10
01
10
10
00
00
00
01
10
10
11
00
01
00
10
00
00
10
00
11
00
01
00
10
00
00
00
01
11
11
10
01
01
00
01
11
11
00
00
01
00
01
10
11
00
10
10
00
01
01
00
11
10
01
10
00
10
11
00
00
01
10
10
10
10
11
00
00
00
01
10
11
10
01
00
00
00
10
01
00
00
10
00
11
00
10
10
10
01
00
10
10
00
01
10
01
11
10
00
00
00
00
00
10
10
11
11
00
01
00
10
00
01
11
01
00
00
10
10
10
10
00
01
00
00
10
11
00
10
00
00
11
10
00
11
10
10
01
01
11
00
00
10
01
00
10
11
00
01
00
01
10
10
01
10
10
00
11
01
10
00
11
10
00
10
00
10
10
10
00
00
10
00
01
10
01
00
01
00
10
10
01
10
10
10
00
00
11
01
01
01
10
00
00
11
10
10
01
00
00
10
11
01
10
00
10
11
00
10
11
00
01
01
00
10
01
01
10
00
01
10
01
01
00
10
11
00
00
10
10
00
10
00
10
10
01
10
01
10
10
11
00
10
00
10
01
01
10
00
10
10
00
01
00
10
10
01
10
01
00
11
10
01
00
10
10
01
00
10
11
00
01
01
11
10
01
10
11
11
10
11
00
10
10
10
00
10
10
00
11
10
10
01
00
10
10
00
10
00
11
10
10
00
00
11
00
01
01
11
10
11
00
10
00
00
10
10
00
01
00
00
10
11
10
10
11
01
00
11
01
00
00
00
01
10
11
00
11
10
11
00
00
11
11
00
00
00
01
00
00
00
11
00
00
01
10
00
10
10
00
00
00
00
00
01
10
00
01
01
00
00
10
11
11
01
10
00
00
10
11
01
00
10
10
00
00
11
10
00
10
10
10
10
11
00
01
10
10
01
01
00
00
00
10
10
11
01
10
10
11
01
10
10
00
10
10
00
10
00
11
00
01
00
00
00
10
11
11
10
00
10
10
00
01
00
11
10
01
11
10
01
11
01
01
00
11
10
01
00
10
10
00
00
00
01
11
10
00
10
10
11
00
00
10
10
10
10
01
10
00
00
01
00
11
00
01
10
10
00
11
10
10
00
00
10
10
00
00
00
11
01
10
10
00
10
10
10
11
01
00
10
10
11
10
11
00
11
10
01
00
00
11
10
00
01
00
00
00
11
11
11
10
00
11
01
01
01
01
00
01
10
10
11
00
10
10
00
10
00
01
00
01
11
00
01
11
10
10
00
10
10
00
10
10
10
01
01
01
10
11
00
11
00
01
00
10
11
01
10
00
11
10
10
00
01
10
10
10
00
01
10
00
10
10
00
00
10
10
01
00
10
10
00
01
11
01
10
00
10
10
11
10
10
00
11
00
10
10
00
00
10
01
01
00
10
11
10
10
00
00
10
00
01
10
00
11
10
00
00
11
00
11
11
00
10
10
10
11
10
01
01
01
00
11
00
00
01
10
10
10
00
01
10
10
00
01
00
10
00
00
11
01
01
10
01
00
00
00
11
00
00
01
00
00
10
10
00
11
11
10
00
01
01
00
10
10
01
11
10
11
10
10
00
01
10
01
00
11
00
01
10
11
10
00
01
10
00
00
10
11
10
00
00
01
10
11
11
10
10
00
10
10
00
00
10
01
00
00
00
00
00
01
00
10
11
11
00
10
11
01
00
10
11
00
10
00
00
10
01
00
11
10
00
10
00
00
10
01
00
10
01
00
11
11
00
10
10
00
10
10
00
00
10
10
10
00
10
00
01
10
11
00
00
10
01
10
00
11
01
00
10
10
00
01
00
00
10
10
00
11
11
00
01
10
10
11
01
00
10
10
00
00
10
10
00
00
01
00
11
10
00
00
00
00
10
11
01
00
11
00
00
11
01
10
00
01
10
11
10
01
01
10
11
00
00
10
00
00
10
10
00
10
10
01
00
00
10
11
10
00
10
10
00
01
00
11
00
00
10
00
10
01
00
11
01
00
11
00
00
10
10
00
01
10
11
00
01
10
00
10
10
10
01
10
10
00
01
10
10
10
00
10
10
00
01
11
00
00
10
10
00
11
11
01
00
10
10
10
01
11
11
01
10
01
00
00
10
10
01
11
10
01
11
00
10
10
00
10
01
00
10
01
10
00
11
01
10
00
10
00
00
11
10
10
10
11
11
01
11
00
01
10
10
00
10
00
00
10
10
10
00
00
00
00
01
11
11
11
00
10
00
10
00
10
00
10
00
00
10
10
10
10
10
00
00
11
01
10
01
01
10
00
11
01
10
11
00
00
00
11
10
11
01
10
11
10
00
00
00
00
01
11
00
10
10
10
10
11
11
00
00
10
00
11
10
00
10
10
01
10
01
11
10
00
00
11
01
10
10
00
10
00
10
10
01
00
11
10
01
00
10
00
00
11
10
11
00
01
01
11
00
10
10
00
01
01
00
11
10
10
00
11
11
00
11
10
10
00
01
00
00
01
11
00
01
10
10
10
10
10
10
10
11
00
11
10
00
00
01
11
11
10
01
00
00
10
11
10
00
00
10
01
00
01
11
01
10
10
01
01
00
10
01
01
00
10
11
00
00
00
11
10
01
00
00
11
00
10
10
10
00
10
10
10
10
10
00
10
11
10
10
01
00
01
00
11
01
00
10
01
10
11
10
00
10
00
10
10
10
11
10
00
00
10
11
00
00
11
10
00
00
00
00
11
00
11
10
01
11
10
00
00
00
00
00
11
10
10
10
00
01
11
11
00
00
01
11
10
00
10
00
00
10
10
00
10
10
00
00
01
11
00
00
01
01
00
01
11
11
01
01
01
01
10
10
10
00
10
11
00
00
10
11
11
10
11
00
00
00
10
00
00
10
11
10
01
10
00
11
01
00
01
00
11
00
11
01
10
11
00
11
10
00
00
00
01
10
01
00
10
10
00
10
01
10
10
11
00
00
00
10
10
01
10
00
11
10
11
00
10
10
10
10
01
10
10
00
11
10
11
10
01
01
01
01
11
01
01
01
11
10
00
00
10
00
00
10
10
00
00
10
00
00
10
10
10
01
10
00
10
10
10
10
00
00
11
01
01
11
10
00
01
00
10
10
10
01
10
11
10
11
10
11
00
11
00
01
00
00
00
11
10
00
10
10
11
01
10
11
00
01
10
01
10
00
01
11
11
00
00
10
00
01
10
10
01
11
11
01
01
00
10
11
00
10
11
00
01
10
11
00
00
10
10
10
00
10
10
10
01
00
00
10
00
10
00
01
10
10
10
00
01
00
00
01
00
10
10
10
00
00
10
10
11
00
11
01
10
01
00
10
01
01
10
00
00
11
00
00
00
10
10
00
00
10
10
01
00
01
01
01
00
10
10
01
11
10
00
01
00
10
00
01
10
00
11
00
11
10
11
11
00
00
11
10
11
10
00
00
00
11
10
10
10
00
00
10
10
00
00
00
00
00
10
10
00
00
11
01
00
00
10
10
00
00
00
11
10
00
10
00
10
10
01
10
10
11
10
11
10
10
00
00
01
00
01
00
11
10
00
00
00
10
11
10
10
11
10
10
00
01
10
10
11
01
00
01
00
10
10
10
10
00
00
10
01
00
11
00
01
10
10
00
00
10
10
01
01
11
10
10
10
00
11
01
00
10
10
00
10
10
00
11
11
00
01
00
10
10
10
10
10
10
01
11
10
10
10
10
00
01
10
10
00
10
10
00
00
00
10
10
10
10
10
01
01
11
01
00
11
10
01
01
10
10
00
11
10
01
00
10
10
01
10
01
10
11
10
01
10
01
11
00
10
11
11
00
01
10
10
10
10
00
10
10
00
00
10
01
10
01
01
11
01
01
01
10
10
00
00
10
10
00
00
01
10
11
11
01
10
00
10
10
00
01
00
11
10
11
01
10
00
00
10
10
00
01
00
10
00
11
11
00
10
00
11
01
00
10
11
01
00
10
10
10
11
10
10
11
10
11
01
10
00
11
00
00
10
00
00
00
01
10
00
01
10
01
10
00
00
00
00
11
00
01
00
00
01
10
10
00
10
11
00
00
10
10
11
10
10
01
10
01
01
11
11
01
01
11
11
00
11
00
10
11
00
00
10
10
00
01
10
10
10
00
00
00
00
10
11
00
00
10
00
11
10
11
10
01
11
00
11
00
01
01
11
10
11
01
00
00
00
10
10
10
01
11
00
10
11
00
00
11
11
00
01
00
11
11
01
10
10
01
00
10
10
00
10
00
00
11
01
10
11
10
00
00
10
11
11
10
00
10
00
10
01
00
11
00
11
00
01
10
10
00
00
11
01
10
00
10
10
10
01
00
10
10
00
00
11
00
11
10
11
10
01
10
00
00
11
00
00
10
10
10
01
11
01
10
10
00
10
10
00
11
10
10
00
01
00
11
00
00
11
10
10
01
00
11
11
10
00
00
01
10
10
00
10
00
10
00
01
10
10
00
00
00
11
00
00
11
11
10
01
10
10
00
11
00
01
00
10
01
00
11
00
00
10
10
01
00
01
00
10
01
00
10
01
10
10
10
10
10
01
00
10
10
10
11
11
00
00
00
00
00
00
11
01
11
00
11
00
11
00
01
10
10
00
01
00
10
10
00
00
00
10
11
10
11
00
01
11
00
10
10
00
10
11
01
10
11
00
00
00
11
11
01
00
10
01
00
00
10
10
01
00
01
01
00
00
11
10
10
00
11
10
01
00
10
00
10
10
00
01
10
11
00
00
00
01
11
11
10
00
00
10
01
00
11
00
00
10
00
10
10
11
01
00
10
01
01
11
10
00
10
00
00
11
11
01
01
10
10
11
10
10
00
00
10
00
00
10
00
10
10
00
01
01
10
10
10
00
01
00
10
10
10
00
10
11
10
00
00
11
10
11
11
00
00
00
01
10
10
10
01
00
00
10
11
00
00
11
10
10
11
00
01
00
01
10
11
01
11
10
01
01
10
00
10
00
00
10
10
10
10
01
01
01
01
00
00
10
01
10
10
01
01
00
10
11
01
10
10
10
10
10
01
10
00
00
11
10
01
00
01
01
10
10
10
00
00
00
11
01
00
00
00
00
10
10
10
01
10
00
00
11
00
00
10
11
01
01
00
00
01
00
00
11
11
01
01
00
11
01
01
00
01
10
11
11
00
00
10
00
00
00
00
10
10
00
01
10
00
10
11
01
01
11
10
11
00
00
11
00
00
11
10
01
01
10
10
11
10
10
01
00
10
10
11
00
10
10
10
10
00
01
00
10
00
10
01
01
10
11
10
01
00
11
10
00
11
11
00
00
00
10
10
00
00
00
11
00
00
10
00
10
10
00
00
10
10
01
11
00
11
11
00
00
11
11
00
00
10
00
00
10
00
01
01
10
11
10
11
00
11
11
10
11
11
01
01
00
11
10
00
01
10
10
00
10
10
01
00
11
00
00
10
01
01
00
00
11
00
00
10
10
00
00
00
10
01
00
01
11
10
00
00
01
00
11
10
10
00
11
11
00
11
10
10
00
00
00
10
11
10
10
10
00
01
10
00
10
01
00
10
01
10
11
10
00
00
01
01
10
00
00
10
10
00
00
10
10
10
00
00
00
10
00
01
11
11
11
01
01
10
11
00
00
11
10
00
10
10
00
00
00
11
10
00
11
10
01
01
10
11
00
00
00
00
10
00
11
11
01
00
01
10
01
10
10
01
00
10
00
00
10
01
10
00
00
00
01
10
11
10
11
01
00
00
00
10
00
10
10
00
11
00
01
10
10
00
11
01
11
00
00
10
00
10
01
00
01
11
10
00
01
11
10
00
00
10
01
11
00
10
01
00
10
11
10
10
01
00
01
11
00
01
10
10
00
10
10
10
01
10
11
10
01
00
10
00
10
10
00
00
11
10
10
00
10
01
10
10
00
10
01
10
00
00
10
01
00
00
00
11
10
01
11
10
11
00
10
10
01
00
10
10
00
01
00
10
11
10
10
00
10
01
10
11
00
10
01
00
01
10
01
00
00
10
00
10
01
00
10
01
00
00
10
10
10
10
11
00
10
00
01
01
10
10
01
10
00
00
00
10
10
01
00
00
11
00
00
01
10
00
11
11
00
01
10
00
00
00
01
10
11
00
01
00
10
00
11
11
00
10
10
10
11
00
01
10
00
00
11
11
10
11
01
01
11
00
00
10
10
10
01
01
00
10
00
10
11
11
01
10
10
00
00
00
00
00
00
10
11
01
10
10
00
11
10
01
10
10
00
11
10
00
10
10
00
00
01
11
01
00
10
10
10
00
01
01
10
11
00
11
11
10
10
10
10
00
01
11
10
00
10
11
00
01
11
11
11
00
11
10
01
01
10
11
01
01
10
01
00
11
10
10
01
00
11
01
00
01
11
00
00
00
10
10
00
00
01
10
10
01
10
11
10
01
00
10
10
11
10
00
11
11
01
01
00
10
00
00
11
01
10
11
11
10
10
00
00
01
00
10
10
01
00
00
10
00
10
10
01
10
01
00
10
11
11
00
01
11
01
01
01
11
10
10
01
11
10
00
01
01
00
10
00
10
11
10
01
10
11
01
11
10
10
00
10
00
11
11
00
10
00
01
00
00
10
00
11
01
10
10
00
11
11
10
00
10
10
11
00
01
11
10
01
10
10
11
10
00
00
01
10
01
11
10
10
01
00
10
00
11
10
10
01
00
00
00
00
00
11
01
00
11
10
10
10
00
00
00
00
10
00
00
10
10
01
10
10
10
10
10
00
10
10
00
00
10
01
00
11
10
10
10
00
10
11
00
01
00
10
00
00
11
10
10
11
00
11
10
11
10
11
10
10
01
00
00
00
11
10
01
00
00
10
10
01
11
00
11
10
10
11
01
00
00
00
01
01
10
00
00
00
01
01
10
10
11
01
00
10
11
10
10
00
01
11
10
01
11
10
00
00
10
10
00
00
11
01
00
11
01
10
00
00
11
00
10
00
01
11
10
10
00
00
11
00
10
10
10
00
00
01
10
01
01
10
11
11
00
10
01
01
10
10
01
00
00
10
01
01
10
10
11
01
00
01
00
11
10
10
00
10
11
11
11
01
00
10
10
10
00
10
11
00
00
01
10
00
01
10
11
10
11
00
10
10
11
00
00
00
10
00
10
01
01
10
10
00
11
10
00
00
11
00
01
00
10
00
11
00
00
10
10
10
00
10
01
00
11
10
00
00
10
11
00
11
11
01
00
11
11
00
00
11
10
10
00
00
10
10
11
11
10
01
11
10
00
10
10
01
00
10
01
10
00
10
10
00
01
00
10
00
01
00
10
01
10
00
01
01
01
00
11
10
11
01
11
01
00
10
10
01
11
11
01
00
10
00
10
10
10
00
10
00
10
11
10
10
10
01
01
00
10
11
00
10
11
01
01
01
10
10
01
00
11
00
01
10
10
00
00
00
11
00
00
01
00
00
11
01
10
10
10
01
10
10
00
11
01
10
01
01
11
11
01
00
11
10
00
01
10
10
01
00
10
11
00
00
10
01
10
10
01
10
01
11
10
00
01
01
10
10
00
10
11
11
00
10
11
11
10
10
01
00
00
10
11
00
00
11
00
11
10
01
10
00
01
00
00
11
00
00
00
11
10
01
00
10
00
00
10
00
00
10
01
10
00
10
10
00
10
00
00
10
10
00
00
11
10
00
11
10
00
11
00
00
10
01
10
00
00
10
01
00
01
10
00
00
10
01
11
01
01
00
01
00
10
00
00
10
11
01
10
10
00
10
00
11
10
10
00
00
01
10
01
00
01
01
11
00
10
00
01
10
10
01
00
00
11
00
11
10
01
00
00
00
11
10
00
11
10
11
10
11
00
00
01
00
00
10
10
00
00
10
01
00
10
01
00
00
10
00
00
10
10
00
10
00
00
01
10
11
10
00
00
11
11
01
00
11
00
10
01
11
01
00
10
01
00
11
11
00
00
01
10
00
00
10
11
00
11
10
11
01
01
01
11
00
00
01
10
00
10
11
01
11
00
00
11
10
01
00
10
00
00
01
00
11
10
11
10
11
01
11
10
10
10
10
00
00
01
10
11
00
11
10
10
10
10
11
00
00
10
10
00
00
10
00
00
10
00
00
01
10
01
11
11
11
10
10
10
10
01
00
00
10
10
11
11
00
00
11
01
11
00
10
00
01
11
11
11
00
10
00
10
10
11
01
01
10
00
11
10
10
00
00
10
11
01
10
01
10
10
00
10
00
11
00
01
10
10
10
01
00
10
01
01
00
01
10
11
10
00
00
00
00
10
11
00
01
11
11
00
01
10
10
10
00
10
11
11
01
01
01
00
11
10
11
11
10
00
11
00
01
10
10
11
00
00
00
00
10
00
10
10
00
10
01
01
10
01
10
10
10
11
00
11
00
00
10
00
01
11
10
00
00
10
00
01
01
10
10
00
10
00
00
10
00
11
10
11
11
00
10
00
00
11
10
00
10
00
10
01
11
10
00
10
11
00
00
10
10
10
11
00
01
01
00
00
10
10
10
00
00
00
11
10
10
10
11
01
01
01
10
11
00
00
10
01
01
11
11
11
00
00
10
00
00
10
10
01
00
11
00
10
11
10
11
10
11
10
00
00
10
00
10
11
00
01
10
00
01
01
11
01
10
11
11
00
00
10
10
10
10
00
01
10
11
01
01
00
10
00
01
00
11
01
01
11
00
00
11
00
01
10
00
01
10
10
10
00
10
10
01
00
10
11
01
01
00
10
01
10
00
10
00
00
10
00
11
01
10
11
10
11
10
01
00
10
00
00
01
11
01
01
00
01
01
00
11
00
10
11
10
10
00
00
00
11
10
00
00
10
11
10
10
11
00
11
00
00
10
01
11
01
11
11
11
01
00
11
00
01
10
01
01
10
11
00
11
10
10
01
10
00
00
00
00
10
01
10
10
01
10
00
10
00
11
10
00
00
01
00
11
10
00
00
11
10
00
10
00
10
00
10
10
10
00
10
00
00
11
01
00
10
10
10
10
11
00
10
11
00
11
10
11
00
11
00
01
10
00
11
10
00
01
00
10
10
10
11
11
00
01
00
00
10
11
11
00
00
00
00
00
00
10
10
00
01
11
10
10
11
10
10
10
00
00
11
10
10
10
11
00
10
00
10
10
00
10
00
10
10
10
01
00
10
01
00
10
01
10
01
10
11
00
10
01
01
00
10
01
01
00
00
10
11
00
10
00
00
01
10
01
00
10
11
00
00
10
10
00
00
00
10
01
00
10
01
00
01
00
00
11
00
00
10
00
11
01
01
00
10
10
10
11
01
10
00
00
10
11
11
01
10
10
10
00
00
11
11
01
00
00
10
10
10
00
10
10
00
00
00
11
00
10
00
00
11
01
10
11
11
01
10
01
00
10
10
01
11
00
01
11
10
10
10
00
00
10
11
01
11
10
10
10
00
00
11
01
00
10
10
10
00
11
10
01
00
01
11
00
11
10
10
01
10
00
00
10
10
10
10
00
00
10
00
00
01
00
01
00
01
10
00
00
00
00
10
00
01
01
10
00
10
11
11
11
00
00
00
00
00
10
01
10
10
00
10
00
10
10
00
10
00
10
10
11
01
00
10
00
11
10
00
00
01
00
11
11
11
00
11
10
00
10
00
10
11
00
00
01
10
00
01
01
00
11
10
00
00
00
11
10
11
00
00
00
00
01
10
10
00
10
11
10
10
10
10
00
01
00
00
11
10
11
00
00
01
10
10
00
10
01
11
00
11
10
01
01
10
10
00
10
11
01
00
10
10
00
01
00
01
01
01
00
10
00
00
00
11
10
01
00
10
00
10
00
11
10
00
10
10
00
10
00
00
10
00
01
00
11
01
01
00
10
10
10
10
00
01
10
00
10
11
01
01
11
00
01
10
11
10
10
00
10
10
00
00
01
10
11
10
10
10
11
10
01
11
11
11
10
00
11
10
00
11
10
00
00
10
00
00
10
01
01
00
10
00
11
10
10
10
00
00
00
00
10
10
00
10
00
00
01
11
10
10
00
10
00
01
10
11
10
00
10
10
10
10
00
01
00
00
10
10
00
00
10
00
00
11
00
00
00
11
00
00
10
10
01
00
01
00
10
10
10
00
00
10
10
01
00
11
00
00
10
10
11
00
10
10
00
00
10
10
00
11
10
00
10
00
11
00
11
11
00
01
10
01
00
01
10
10
11
11
01
00
10
00
10
10
00
00
00
10
11
00
00
00
11
10
00
10
10
11
00
00
01
00
01
10
01
11
00
00
11
00
11
10
11
10
00
10
10
00
00
10
10
10
01
11
00
10
10
00
10
00
11
11
10
10
00
00
01
01
10
10
10
11
01
00
10
01
01
00
00
11
10
01
10
00
10
01
11
00
11
00
00
11
10
00
11
10
10
00
00
10
01
10
10
00
00
00
01
10
11
00
01
00
00
01
10
01
00
11
10
00
10
00
00
10
10
01
01
10
00
11
10
11
00
01
01
00
11
01
11
10
01
10
01
10
11
01
01
11
11
00
10
11
00
10
10
00
01
10
00
00
10
10
01
11
01
10
00
01
01
11
10
10
01
01
00
10
10
11
10
00
00
10
00
11
10
11
01
10
01
00
10
00
00
10
10
00
00
00
10
00
11
11
11
00
10
00
10
11
00
01
10
00
10
11
10
01
10
10
00
11
11
10
10
00
01
10
11
01
00
10
11
01
00
10
01
10
11
00
00
00
11
10
10
10
10
10
00
11
00
01
01
11
10
10
10
11
01
00
00
11
00
00
00
10
10
10
00
10
10
01
01
00
10
10
11
00
00
00
11
00
00
10
11
00
01
10
01
10
01
10
00
10
10
01
00
00
10
10
00
10
10
10
00
00
00
11
10
00
10
00
00
00
10
11
10
00
01
10
10
00
00
10
10
00
00
01
10
00
01
11
00
00
10
00
01
11
00
10
10
10
11
01
00
10
11
01
00
10
10
01
11
10
11
01
10
01
01
11
11
10
00
01
01
11
01
11
10
01
11
00
00
11
00
01
00
11
01
10
10
00
10
01
01
11
11
00
00
10
10
01
01
10
10
00
01
10
11
10
00
00
01
10
00
00
10
11
10
01
00
00
00
10
11
00
10
11
10
10
00
10
11
01
01
00
10
10
00
00
10
10
01
10
00
11
11
00
01
00
10
00
11
11
00
10
10
10
00
10
01
00
11
10
10
10
00
00
10
01
10
10
10
10
10
00
11
00
11
10
00
00
00
01
01
01
10
00
00
00
10
11
00
01
11
11
00
00
10
11
00
00
10
00
00
10
01
10
11
10
01
10
10
00
00
10
11
10
00
01
11
00
10
11
00
01
11
10
11
10
10
11
00
00
00
11
11
10
01
00
11
10
10
01
11
11
01
00
10
11
10
11
01
01
10
00
00
11
10
00
11
01
00
00
10
10
10
11
11
01
00
10
00
11
01
11
10
00
00
10
11
10
00
00
10
10
00
11
01
10
10
11
00
10
11
00
00
01
11
10
01
00
10
00
01
10
10
10
11
10
10
11
00
11
00
11
10
00
00
10
10
01
00
11
00
11
10
01
00
11
01
00
10
00
00
10
01
00
10
11
00
00
10
10
01
00
11
11
00
00
00
01
11
11
01
01
00
00
10
01
10
11
01
11
11
01
00
01
10
00
00
10
11
10
10
01
11
01
10
10
00
01
11
10
10
00
10
10
10
01
01
11
00
10
10
01
10
11
00
00
11
01
00
11
00
00
10
11
10
00
10
10
00
01
10
10
01
00
10
00
10
11
10
00
00
00
10
01
11
00
01
00
10
10
00
10
10
01
00
01
10
11
10
01
00
10
11
01
00
01
00
11
00
00
10
01
00
01
10
00
01
01
10
00
00
11
10
00
11
10
11
11
00
00
10
00
00
10
10
01
10
10
01
01
11
00
00
00
00
10
00
00
10
10
01
01
10
10
00
10
11
00
01
10
11
10
00
00
10
01
00
00
10
11
00
01
00
01
10
10
10
00
10
01
10
11
00
01
10
11
00
01
11
11
00
00
00
10
01
01
11
10
11
01
11
10
00
11
01
00
10
01
00
11
01
10
00
10
00
00
01
01
10
00
10
01
10
10
10
01
00
00
00
10
11
00
00
10
00
00
01
10
10
10
01
11
11
10
01
11
11
01
10
01
00
10
11
01
01
10
00
10
00
00
11
00
01
10
10
00
11
10
01
00
11
10
10
10
00
00
10
01
01
00
01
10
10
11
10
00
11
00
00
11
11
00
00
01
11
10
00
00
00
00
10
10
11
01
00
11
11
00
10
10
10
00
00
10
11
10
10
01
00
00
10
10
01
11
10
01
10
11
11
10
00
10
10
01
00
11
00
00
00
11
00
00
10
11
10
10
11
00
00
11
00
00
01
11
00
11
00
10
11
10
10
11
10
00
10
01
10
00
00
10
11
10
00
01
01
01
01
11
11
00
10
10
10
00
00
00
10
10
01
10
00
10
10
10
00
00
01
00
10
00
00
00
10
00
10
10
01
00
01
01
00
10
01
11
10
00
01
01
00
10
00
10
00
11
10
11
10
00
00
01
10
10
01
01
10
01
00
00
10
11
10
10
00
00
01
11
10
11
10
00
01
00
10
11
00
01
10
10
10
11
00
11
00
00
00
00
00
10
10
00
10
10
10
01
00
01
10
00
00
10
10
01
10
00
00
10
00
10
10
10
11
10
10
00
11
10
01
01
00
00
10
00
10
01
00
11
11
00
10
11
10
10
01
01
10
10
10
01
11
00
00
10
00
00
00
11
00
00
10
01
00
00
11
00
11
10
00
10
00
00
10
00
10
10
00
00
11
01
01
00
11
10
00
00
10
10
01
00
10
10
01
01
10
00
01
00
11
10
00
00
10
01
10
00
00
10
01
00
10
11
01
10
00
11
10
00
00
11
00
11
10
11
10
11
00
11
00
01
10
01
00
00
00
10
10
00
00
10
11
01
00
11
01
10
11
10
11
01
00
00
00
10
10
01
01
10
01
10
00
11
00
01
10
00
11
01
11
10
00
01
01
10
01
11
10
10
00
01
10
10
10
10
01
10
00
01
01
10
11
11
00
10
00
11
10
11
00
00
10
10
10
00
10
10
00
00
11
10
01
01
10
01
00
00
01
00
10
11
10
01
01
10
10
11
10
10
00
00
00
10
00
00
10
10
10
01
01
10
01
00
00
10
10
00
01
11
11
11
10
00
10
00
11
10
00
00
00
01
10
01
01
10
00
11
00
01
10
10
10
00
00
11
10
01
10
00
00
00
10
00
01
10
00
01
10
00
01
10
00
00
01
10
10
00
10
00
01
00
10
00
01
10
11
10
00
11
10
00
11
11
00
10
10
00
01
00
10
10
01
10
00
00
00
11
10
10
10
01
00
00
00
11
00
00
10
11
01
00
00
10
10
00
01
00
11
10
01
10
11
10
10
00
10
00
00
01
10
01
11
01
10
10
00
00
11
11
00
11
11
01
00
00
01
01
11
10
00
00
10
10
10
10
01
00
00
10
00
11
11
00
11
10
00
11
10
00
10
10
10
01
01
01
10
10
00
00
11
01
10
11
00
01
10
11
01
11
00
00
01
00
10
01
00
10
10
00
11
01
01
01
00
10
00
10
01
00
10
00
00
00
00
00
00
00
00
10
11
00
10
00
01
00
00
10
10
11
10
00
01
10
11
00
00
10
10
11
01
10
10
10
10
10
01
01
10
10
10
01
10
10
01
10
00
01
11
11
10
00
11
00
10
00
01
10
00
10
10
00
01
00
01
00
11
00
01
00
10
10
10
00
01
00
10
00
00
10
00
01
10
10
00
00
00
01
11
01
00
00
11
00
10
11
00
01
00
10
11
00
01
10
01
01
00
00
11
10
10
01
00
11
11
00
00
00
10
00
01
10
10
10
10
11
00
00
10
00
10
00
01
00
01
00
11
11
01
01
10
10
00
00
11
10
00
00
10
00
10
10
01
10
11
10
00
11
00
10
00
10
10
00
10
01
00
11
00
10
00
11
01
00
11
11
01
00
10
00
01
01
10
01
10
10
10
11
01
00
10
11
11
00
11
10
10
10
01
11
01
00
10
00
00
10
10
00
00
10
10
01
11
11
01
10
10
00
00
10
10
00
00
11
10
11
00
00
11
00
10
11
11
10
11
00
10
00
10
00
00
10
10
00
11
11
01
00
01
10
01
00
11
10
11
10
00
01
00
01
10
00
00
01
11
10
01
00
00
00
11
00
10
10
10
00
01
00
00
10
11
11
01
11
00
01
10
10
01
00
10
10
00
00
10
10
01
10
10
11
00
00
10
01
10
01
11
01
00
11
11
00
10
10
00
10
00
10
00
01
01
01
00
00
00
00
10
01
00
10
00
10
11
00
01
10
11
10
01
10
01
00
11
11
10
11
00
10
10
00
00
11
00
00
00
10
00
00
00
10
01
00
11
10
01
10
00
00
10
10
01
10
10
00
00
10
01
00
10
00
00
01
10
11
10
01
00
10
10
01
00
00
01
00
00
10
00
00
10
11
11
10
10
00
01
10
01
11
01
01
00
00
00
01
10
10
01
00
10
10
11
10
10
00
10
00
01
10
00
00
00
00
11
00
10
01
10
10
00
00
00
10
01
10
10
00
00
11
00
01
00
00
11
10
10
01
00
10
10
01
10
10
00
01
11
11
11
01
00
00
11
00
00
10
01
11
10
11
00
00
11
10
10
10
00
00
10
10
00
10
10
00
10
00
00
00
00
10
11
00
01
00
10
00
11
10
01
01
11
00
10
10
00
00
10
10
01
00
10
00
10
00
01
10
10
00
01
00
10
10
00
00
00
10
11
00
10
01
00
11
00
01
10
10
00
00
01
10
10
00
01
10
10
01
00
00
11
10
10
01
00
10
11
00
10
01
10
11
00
11
01
00
11
10
10
10
00
00
00
00
01
11
00
00
01
00
11
11
10
01
01
00
01
10
11
00
10
11
00
10
10
00
00
00
10
11
00
10
01
00
10
11
11
01
10
11
01
11
00
11
11
01
00
10
10
01
00
01
11
10
00
11
10
11
10
00
00
10
00
10
01
00
00
11
10
10
01
00
11
10
10
01
10
10
00
10
00
10
00
10
00
00
11
10
00
11
00
10
11
01
00
10
01
10
11
00
01
01
01
11
00
00
10
10
01
00
10
01
11
01
00
01
00
00
11
10
01
00
10
10
00
10
10
00
00
11
11
00
00
01
10
00
00
00
11
10
11
11
10
00
11
11
01
00
10
10
01
01
10
11
00
01
00
10
10
00
00
10
00
10
10
01
10
00
01
00
11
01
10
10
10
01
00
11
11
01
00
01
01
10
10
10
01
00
01
10
10
11
10
00
00
00
10
11
10
00
00
00
10
10
10
00
10
01
01
10
00
00
00
00
00
00
10
10
10
10
10
11
11
10
11
00
00
10
11
00
01
11
10
01
00
10
11
11
10
01
00
10
00
01
11
00
00
00
01
00
01
10
10
01
10
10
10
00
01
10
10
00
11
10
11
10
10
00
00
00
10
10
00
00
11
00
00
00
10
00
00
00
00
10
01
10
11
10
11
11
11
01
00
10
10
10
01
10
11
01
01
10
01
01
10
00
11
10
01
00
10
01
10
11
01
00
11
01
01
10
00
01
11
10
00
01
10
01
10
11
00
00
10
00
11
10
00
00
01
00
10
11
00
00
11
00
10
10
01
00
00
10
00
00
01
10
10
01
01
01
10
10
01
00
10
10
11
00
01
10
11
10
00
01
11
10
00
10
11
10
10
10
00
10
00
01
00
00
00
01
11
00
00
00
11
10
10
00
10
00
10
10
00
00
10
10
11
00
01
10
01
00
00
01
00
01
10
01
01
10
01
01
01
11
00
11
11
11
10
10
01
00
01
10
11
11
00
01
11
01
00
11
10
01
11
00
10
10
00
00
00
00
00
00
10
00
01
10
00
10
10
00
00
01
11
10
10
01
10
00
10
11
00
11
10
10
10
00
00
01
10
10
10
00
10
10
00
00
11
00
00
01
00
00
10
00
11
00
00
01
00
11
10
00
10
01
10
01
10
10
11
10
10
00
01
10
10
11
11
11
00
10
10
01
00
00
00
10
10
01
11
01
01
00
10
00
01
10
10
00
10
10
01
11
00
10
10
00
01
10
10
00
11
11
11
00
10
00
00
10
10
10
00
00
00
11
11
10
00
10
11
01
00
11
10
01
01
11
11
01
10
10
11
01
00
10
01
00
01
10
01
00
10
00
10
10
00
01
10
01
01
11
11
11
01
01
01
00
01
10
10
00
10
01
00
10
10
00
10
10
10
00
11
00
10
10
00
00
11
10
01
01
00
01
00
10
00
00
10
10
00
00
10
11
10
10
00
01
00
00
10
10
10
00
00
11
10
01
10
10
00
00
01
00
00
10
11
00
10
01
00
01
11
01
00
11
00
10
01
00
00
10
11
01
10
01
00
00
01
10
00
10
00
00
10
10
10
00
00
01
10
11
11
11
10
00
00
00
00
10
00
00
10
10
10
01
00
11
11
00
10
01
00
01
00
10
01
00
01
10
00
01
11
10
00
01
10
10
00
00
00
10
00
11
10
10
00
00
00
01
00
01
00
00
11
10
00
00
01
11
00
10
00
11
10
11
10
00
01
11
01
01
10
10
00
00
01
10
10
00
00
10
10
11
11
11
00
00
10
01
01
10
10
01
00
10
00
00
11
10
00
00
00
10
11
00
10
01
10
00
00
10
11
01
00
10
10
10
10
10
00
00
00
00
00
00
01
11
10
00
00
10
01
10
00
00
10
10
00
10
10
10
01
01
10
10
00
10
01
00
10
10
00
00
00
11
00
00
11
10
01
11
11
00
10
11
11
11
01
11
01
01
00
11
10
01
01
10
10
10
00
00
10
00
10
00
00
10
11
01
00
11
01
11
01
00
10
11
11
00
10
00
00
00
10
00
00
00
11
00
10
11
00
10
10
01
10
00
01
11
00
11
00
00
00
00
10
00
00
10
01
00
11
00
00
01
10
00
10
10
10
01
01
01
10
00
00
01
01
00
11
10
11
00
00
10
11
10
00
10
11
00
01
00
10
00
01
00
00
10
10
10
10
01
11
00
01
10
10
00
00
00
00
10
00
01
11
01
00
01
00
10
10
10
01
00
11
11
00
11
11
11
10
00
00
10
10
00
01
00
10
11
00
10
00
11
00
00
00
10
10
10
00
00
10
10
11
10
11
00
00
01
00
01
11
10
01
11
01
01
10
11
01
00
10
00
01
10
10
11
01
10
10
10
00
00
10
10
10
00
00
10
10
00
00
00
10
10
00
00
01
10
10
11
01
10
00
10
11
01
10
00
00
00
00
10
10
10
01
00
00
10
11
01
10
11
11
01
00
01
10
10
00
00
01
10
10
01
00
11
10
00
00
01
11
11
10
01
10
11
01
11
00
01
11
11
01
00
10
10
00
10
01
00
10
00
00
11
10
00
01
10
10
10
00
10
10
10
00
01
11
00
00
00
10
10
00
00
10
00
10
10
00
01
11
10
10
10
10
00
10
11
01
01
10
10
01
10
10
00
00
11
11
00
01
01
01
00
00
10
11
00
10
10
10
01
01
10
10
00
11
00
10
11
00
10
10
01
01
10
10
01
10
10
00
00
10
10
00
01
11
10
11
01
10
00
00
00
00
00
11
10
00
01
10
11
10
11
01
10
11
01
01
10
10
00
10
10
00
10
11
00
00
11
00
11
00
00
10
10
01
00
00
11
00
01
00
01
10
11
10
00
00
10
01
00
10
10
00
00
00
00
10
10
01
00
10
00
00
01
00
10
10
10
00
11
10
00
10
01
00
00
00
00
00
10
00
10
01
01
10
00
00
10
10
01
10
01
01
00
10
00
10
01
00
10
11
10
11
10
00
00
10
10
11
00
10
00
01
10
00
00
01
00
00
00
10
01
00
11
11
10
10
10
00
00
11
10
00
00
10
00
00
00
10
10
11
01
10
01
00
11
00
00
00
01
10
11
00
00
10
01
10
10
00
00
10
10
10
10
10
11
00
00
01
11
11
01
10
11
00
11
10
01
00
11
10
01
10
01
00
10
00
00
10
11
11
01
10
11
01
01
00
10
10
00
00
10
10
01
00
11
10
10
11
01
01
10
00
00
00
10
01
11
10
01
10
11
11
00
01
10
10
01
01
10
10
00
00
11
10
00
11
01
01
01
00
10
00
11
00
00
10
11
01
10
11
00
10
10
00
10
01
00
01
01
10
00
10
00
11
00
10
01
00
11
10
01
10
10
11
00
01
11
01
11
10
00
10
01
10
00
00
10
10
10
10
10
11
10
00
00
01
10
00
01
01
10
10
01
00
00
10
10
11
00
01
00
00
10
01
11
11
00
10
00
00
00
01
11
10
00
10
11
10
00
00
01
11
11
00
01
11
10
10
11
10
00
00
11
00
11
11
10
10
10
00
00
00
10
10
00
01
01
11
10
00
10
00
11
10
01
01
00
00
10
00
10
11
01
11
10
11
11
11
11
00
00
00
10
10
10
00
00
11
10
10
00
00
10
01
10
00
11
11
11
10
00
10
11
10
01
00
10
10
01
10
01
11
11
10
11
00
00
10
10
11
00
01
10
10
10
01
11
01
10
10
11
00
10
11
01
00
00
00
10
10
00
00
10
10
10
11
00
00
00
00
11
01
11
01
11
11
00
01
10
10
01
01
10
10
01
00
00
10
00
00
10
10
10
10
00
10
00
10
00
00
00
11
00
10
00
10
10
10
00
01
00
11
10
00
10
00
00
00
00
10
10
11
01
00
10
00
00
10
10
11
10
10
11
00
10
11
10
10
01
11
01
11
00
10
11
00
10
00
01
10
10
01
11
11
00
10
10
11
10
01
10
01
10
00
00
00
10
00
10
10
01
10
00
10
01
00
00
00
10
00
01
11
10
00
01
10
00
00
11
10
10
00
11
01
01
10
00
01
00
00
11
00
11
00
00
11
10
10
01
00
11
10
10
00
10
10
10
00
01
10
01
00
10
00
00
01
00
10
11
01
01
11
00
00
10
00
10
10
01
00
00
10
10
10
00
10
00
10
00
10
10
11
10
10
00
11
00
10
11
00
10
10
10
11
00
00
00
00
10
01
01
10
11
10
00
00
11
00
00
00
10
10
00
10
11
10
11
01
10
00
00
00
01
11
10
00
00
10
10
00
00
11
00
01
01
01
11
00
01
00
10
10
00
01
10
11
00
00
11
10
00
01
10
10
10
00
01
00
01
01
10
01
00
10
10
11
00
11
10
00
10
00
00
00
00
10
01
00
01
11
01
11
10
00
10
00
00
11
01
10
10
10
10
00
10
00
10
10
01
10
01
00
00
00
00
00
00
00
10
00
10
11
10
00
11
10
01
00
00
10
00
01
00
00
11
10
01
00
01
00
10
01
11
10
01
01
11
01
00
00
11
11
00
10
10
00
01
00
11
10
00
10
00
01
00
11
10
01
00
10
01
01
10
10
00
00
10
11
11
01
00
00
01
10
10
10
00
01
11
00
00
01
10
01
01
10
10
11
11
00
00
11
00
10
01
10
10
11
11
01
00
10
11
01
01
11
10
00
00
01
00
10
11
10
01
00
11
01
10
11
01
10
01
10
11
00
01
11
11
11
01
11
10
10
10
01
00
10
10
11
00
00
00
00
00
10
01
10
10
00
10
11
10
11
00
11
00
10
10
01
01
10
11
00
11
10
01
00
00
10
11
10
10
01
10
10
10
10
00
00
11
00
11
01
01
10
10
00
00
00
10
00
10
10
00
10
10
10
11
00
10
00
00
11
00
10
11
10
10
00
01
00
10
10
00
10
11
01
11
00
00
10
10
11
00
00
00
10
10
01
00
10
10
10
00
10
00
11
10
00
10
10
11
01
11
01
01
10
01
10
11
00
01
10
01
11
10
01
00
01
11
00
01
10
01
10
01
01
10
10
00
01
00
01
10
10
11
01
01
11
01
01
00
00
10
00
00
10
10
00
00
10
11
00
01
00
00
10
00
00
00
10
11
10
00
10
01
01
10
10
10
01
00
10
00
10
00
01
10
00
00
00
00
10
10
11
10
00
10
10
11
00
00
10
11
00
01
10
00
01
00
00
00
00
11
10
01
10
10
01
01
11
11
11
10
00
00
01
10
11
00
01
00
01
10
10
10
00
00
10
00
01
00
00
00
01
01
10
11
11
01
10
11
10
00
00
10
10
00
00
01
10
10
01
10
00
00
11
00
10
10
01
10
00
01
10
10
10
10
00
11
11
10
00
10
11
00
10
01
01
10
11
10
11
00
00
11
11
00
01
10
10
01
01
00
01
10
10
01
10
10
00
10
10
10
10
00
00
10
01
10
00
00
11
00
00
11
00
01
11
10
10
10
11
00
10
10
11
00
00
10
01
10
01
10
01
10
11
10
00
10
01
00
01
10
11
01
00
01
10
11
00
10
10
10
00
00
00
11
11
01
01
10
10
00
00
00
11
10
11
00
00
01
00
00
10
11
01
11
01
01
11
11
01
10
00
00
11
10
11
00
00
10
10
00
00
10
11
00
00
00
10
00
00
00
00
00
10
11
00
11
00
00
00
10
00
00
01
11
00
00
01
10
11
00
11
00
10
10
01
10
00
10
00
00
00
10
11
00
01
00
10
00
00
00
01
10
11
10
00
00
00
00
10
00
10
11
11
11
01
10
00
01
00
01
00
00
11
11
00
01
01
00
11
10
10
11
10
01
00
11
10
00
10
10
10
01
10
00
10
10
11
00
10
11
00
00
01
11
10
11
10
00
11
00
00
10
10
10
00
00
11
11
01
10
10
11
11
00
01
00
10
11
00
00
00
11
10
00
10
10
11
11
00
01
01
10
10
00
00
00
10
11
01
00
00
00
00
00
10
10
00
10
10
01
00
10
10
00
10
10
11
10
10
01
11
00
10
11
01
11
00
00
01
00
00
11
10
00
00
10
00
00
01
10
01
00
01
00
10
01
10
01
00
11
11
11
11
00
00
00
10
01
00
00
10
10
11
00
00
00
00
00
00
00
10
00
00
01
01
01
10
00
01
10
10
10
00
11
10
01
00
11
10
00
10
10
01
01
10
10
10
10
01
00
10
11
01
00
10
10
01
10
00
00
00
10
01
01
00
00
00
01
10
11
01
00
00
01
00
11
10
00
11
10
10
11
00
00
10
10
01
00
10
10
10
10
00
11
10
10
10
01
10
00
10
10
00
10
10
00
10
11
11
10
01
10
01
00
10
01
00
11
10
11
00
00
00
00
01
10
10
01
00
01
10
00
10
00
10
10
00
01
10
01
10
10
00
00
10
10
10
10
00
00
11
01
10
11
00
01
10
00
00
00
10
00
01
10
10
00
10
10
00
00
11
10
00
10
00
10
11
10
11
00
01
00
10
01
10
00
00
01
10
10
10
01
00
10
11
10
00
11
10
00
00
00
11
01
10
11
01
10
11
10
01
01
00
11
11
00
00
01
10
10
00
01
10
10
11
10
00
00
00
10
11
00
00
10
01
00
00
10
10
11
00
10
10
00
00
10
01
01
10
00
11
11
11
10
11
00
01
00
00
11
10
10
00
00
01
00
10
10
10
10
00
10
11
00
00
00
00
11
00
11
00
00
10
10
11
11
10
00
00
00
01
10
11
10
00
01
11
01
10
10
01
00
00
11
01
00
00
00
10
10
10
00
00
10
10
10
10
10
10
01
00
00
11
11
11
01
10
10
11
11
00
10
01
11
10
00
00
10
11
00
11
00
00
10
00
10
11
10
01
10
10
01
10
01
11
10
01
00
11
11
11
01
10
01
00
00
10
00
00
11
11
10
00
01
10
10
00
11
10
10
11
01
00
11
10
00
00
10
10
11
00
01
10
01
00
01
10
00
01
10
11
10
10
00
10
00
00
01
10
01
00
11
00
01
01
10
00
00
10
10
01
10
11
10
00
10
00
11
10
11
00
01
00
10
01
00
11
11
01
01
00
01
11
11
10
00
00
00
00
00
11
10
10
01
00
10
11
10
01
10
10
00
01
10
11
01
01
11
11
00
11
00
01
11
10
00
00
10
10
01
00
10
00
10
10
10
00
00
10
00
01
10
10
00
01
10
11
00
00
00
10
11
01
00
11
00
10
11
00
01
11
01
10
01
01
00
10
11
11
00
11
00
00
00
00
10
01
00
10
10
10
01
00
10
10
10
01
00
10
11
00
00
11
00
00
01
11
00
11
11
10
11
00
01
00
00
10
00
11
01
11
10
10
11
01
00
10
00
00
00
01
11
10
00
11
10
01
00
00
00
10
00
10
10
00
01
01
01
00
10
00
11
01
11
11
01
00
10
00
00
10
11
00
10
11
00
10
10
10
11
10
00
01
10
11
00
00
10
00
00
10
01
00
10
11
10
00
11
10
00
10
11
01
00
10
10
10
01
10
00
10
10
01
01
00
10
00
11
00
00
11
00
11
01
10
11
11
11
11
00
00
10
00
01
10
00
00
10
10
00
00
10
00
00
00
11
11
10
11
10
11
00
00
10
10
00
00
11
01
00
10
10
10
01
10
10
10
11
00
10
00
10
00
11
01
00
10
01
10
10
10
01
00
00
01
00
10
11
11
11
11
11
00
00
01
10
01
01
10
10
10
01
11
01
01
01
11
10
10
10
10
00
01
00
10
10
00
10
11
10
00
10
10
10
00
11
01
11
11
00
01
01
10
00
11
10
10
01
00
10
10
00
00
00
00
10
11
00
10
10
11
11
10
10
00
11
00
01
11
01
11
11
10
01
00
11
00
01
10
01
11
00
10
11
00
10
00
00
10
10
00
11
11
00
00
01
10
11
10
00
11
01
00
10
01
00
00
10
11
01
10
00
01
10
11
00
10
11
00
00
00
00
10
10
01
10
01
00
00
10
11
10
10
10
01
00
10
10
00
11
10
01
00
10
00
10
00
10
11
00
10
10
00
00
10
00
00
10
10
00
10
00
11
10
01
01
11
00
01
10
00
00
10
00
01
01
11
01
10
10
11
01
10
11
01
00
10
11
01
00
11
10
10
10
10
10
10
11
01
10
10
10
00
11
01
11
01
11
10
00
10
10
11
00
00
10
10
00
10
10
11
00
01
00
10
00
10
10
00
00
10
10
10
01
00
11
11
01
10
11
00
10
00
00
10
10
01
10
10
10
01
00
00
00
10
11
10
11
01
00
01
11
00
10
00
01
10
01
00
10
11
00
01
00
10
10
00
00
11
00
01
10
10
00
11
10
10
11
01
10
01
00
10
11
01
01
10
11
00
10
10
10
00
00
11
10
10
00
10
00
00
00
11
10
01
00
01
00
00
10
00
00
10
11
00
00
11
00
01
00
00
10
10
01
11
10
00
00
00
00
01
10
00
10
11
01
10
00
11
00
00
00
00
10
11
01
11
01
11
10
10
00
00
10
00
00
10
00
01
00
10
10
00
00
11
10
00
01
11
10
10
10
00
00
10
00
10
00
00
00
11
00
10
10
00
11
10
00
00
00
01
10
01
11
11
10
00
00
01
10
00
10
10
01
11
10
10
10
10
10
00
00
01
00
01
01
10
10
01
00
10
01
01
10
00
10
01
00
11
11
01
00
00
11
01
10
10
11
00
00
01
00
11
10
10
00
01
10
11
10
01
00
00
11
10
00
00
00
10
11
11
00
11
10
01
10
01
01
10
10
00
01
11
10
10
01
00
00
11
10
00
01
11
11
01
11
00
10
11
10
11
01
01
11
00
01
11
00
10
00
00
11
00
00
11
10
01
01
10
10
10
10
01
00
10
10
00
00
10
00
00
00
11
10
00
00
10
11
01
00
10
01
10
00
00
10
11
10
11
00
00
00
10
01
01
10
11
00
11
11
01
11
10
11
00
10
10
10
11
10
00
01
10
00
00
00
00
11
00
11
11
11
11
10
01
00
00
10
11
00
00
10
01
10
10
00
00
10
10
11
11
11
10
01
00
01
01
00
10
10
11
10
10
01
10
10
01
01
00
00
10
00
10
10
11
00
01
10
11
00
00
10
11
10
00
00
11
10
01
01
01
00
01
11
10
00
00
11
10
00
10
00
00
10
11
10
00
00
11
01
11
00
00
00
10
11
01
10
11
00
10
00
00
01
11
10
00
00
10
00
11
11
10
01
00
10
01
10
10
01
00
10
11
11
00
10
01
11
01
11
00
10
00
10
11
00
11
11
00
00
00
00
10
10
00
00
10
10
00
10
00
10
01
01
10
00
01
11
00
10
11
11
10
01
00
00
11
10
10
10
01
00
00
11
00
01
10
00
01
01
10
11
10
00
00
11
10
10
10
00
00
11
10
10
11
10
00
00
10
10
10
01
01
00
11
10
10
10
00
01
01
00
10
00
10
00
10
01
01
10
11
10
10
00
10
10
10
00
01
10
01
10
10
10
00
10
11
10
01
00
00
11
11
00
10
10
00
00
11
10
01
01
10
00
01
00
00
01
11
01
10
10
11
11
00
10
00
00
10
10
10
00
10
11
10
11
10
01
11
00
11
11
11
00
01
00
00
11
10
10
00
00
10
01
10
11
10
00
00
00
10
10
01
00
01
00
10
10
01
10
10
10
00
10
10
01
11
00
00
00
10
10
00
00
00
11
10
00
10
10
00
11
10
00
10
10
10
00
01
01
10
00
01
11
00
10
10
01
00
00
11
11
00
10
10
00
00
10
10
11
00
00
00
10
10
11
01
00
00
11
10
10
10
01
00
00
11
10
11
00
00
00
00
10
10
00
11
00
10
00
01
10
00
11
00
10
00
01
00
11
00
00
10
11
11
11
00
00
10
00
10
01
00
11
10
10
00
11
01
11
01
01
10
10
00
00
10
11
00
00
00
10
00
00
00
10
00
10
11
00
00
00
01
00
10
00
11
11
11
10
10
01
00
10
10
00
00
00
10
10
00
01
00
01
00
11
00
10
01
00
11
10
10
00
00
10
11
10
00
01
10
10
10
01
10
00
00
10
10
00
00
00
10
00
00
00
11
10
00
00
01
10
10
11
10
11
00
00
01
11
00
01
00
11
10
10
10
11
10
00
11
01
00
10
00
10
00
01
11
00
01
10
01
10
01
10
00
10
10
10
00
00
11
00
01
10
10
00
11
01
10
00
00
01
00
01
10
10
00
01
00
11
00
00
11
10
00
00
00
10
11
01
01
01
10
10
10
00
10
10
00
00
00
11
01
10
10
00
10
10
00
01
01
10
01
10
10
11
01
01
10
01
00
11
00
00
01
10
10
00
00
11
10
00
00
10
01
01
11
10
10
00
00
00
00
10
11
10
10
00
10
11
00
10
11
11
11
00
10
01
11
01
00
10
11
10
00
00
10
11
00
00
01
00
11
01
00
11
01
01
10
10
00
01
10
00
11
10
00
11
11
11
00
01
11
00
11
01
00
10
10
01
11
00
00
11
01
00
00
10
11
10
01
00
00
10
11
11
10
00
01
10
10
01
00
10
10
00
01
01
10
10
10
00
00
01
00
11
00
11
00
00
11
00
11
10
10
10
11
00
00
00
10
00
01
10
11
10
10
10
00
00
10
01
00
10
00
01
10
11
10
00
01
00
00
00
00
10
00
10
11
00
01
11
10
10
10
00
00
01
11
10
00
11
00
11
11
01
00
01
00
00
10
10
11
10
00
11
01
01
10
11
00
10
10
11
00
00
00
10
10
00
11
00
10
10
00
10
10
11
01
11
10
10
11
10
00
01
00
10
11
01
01
00
10
10
10
10
00
10
11
10
10
10
00
01
00
00
11
00
10
01
00
10
10
00
00
10
11
00
01
00
11
10
11
10
10
01
10
00
00
11
10
10
00
00
01
10
10
10
01
01
01
01
11
00
00
11
11
10
00
00
00
00
11
11
10
00
00
10
00
00
11
10
10
10
11
10
00
00
00
10
01
10
00
00
11
01
01
00
00
11
00
00
10
10
01
10
00
10
10
00
10
00
00
01
10
11
00
10
10
00
11
00
00
01
01
00
11
10
10
01
10
10
11
01
11
10
10
01
00
11
01
01
11
01
11
10
00
00
00
11
10
00
00
00
11
10
11
10
10
00
01
00
11
01
01
10
00
10
01
01
00
10
10
00
00
00
11
00
01
00
10
11
10
11
01
01
11
00
10
10
10
00
00
01
10
00
00
11
01
01
10
10
10
01
10
11
01
00
00
10
01
00
00
10
11
10
00
10
10
00
00
00
01
00
10
00
00
10
00
00
10
00
00
11
01
10
00
11
10
01
00
00
10
10
11
10
01
01
00
01
01
01
10
01
01
11
00
00
11
10
11
00
10
00
00
00
11
10
00
11
00
10
10
01
01
00
10
00
11
00
10
10
00
11
00
01
10
11
00
10
01
10
11
00
00
10
11
00
00
11
10
10
11
01
01
10
00
01
00
10
11
10
01
10
00
00
10
11
10
11
10
10
00
10
11
00
00
10
01
01
11
10
10
10
01
00
11
10
00
00
10
00
00
10
11
11
10
10
10
00
11
10
00
10
10
00
00
00
11
01
01
10
10
00
00
10
10
10
01
00
00
10
00
00
00
11
01
01
10
01
00
01
01
00
00
10
11
10
01
00
10
01
11
00
01
10
01
00
10
10
00
10
10
00
01
01
10
10
10
11
10
00
01
11
10
01
10
10
00
10
01
00
11
01
01
10
00
10
10
10
11
00
00
01
10
10
00
00
11
00
00
10
01
00
10
00
00
00
00
10
00
11
00
00
00
01
10
00
10
00
10
11
10
00
00
10
00
00
10
11
00
00
01
00
11
10
10
00
00
00
11
10
00
01
00
10
11
11
00
00
10
00
11
10
10
00
00
10
10
11
10
01
00
00
10
10
10
01
10
10
01
00
10
10
10
00
00
10
00
00
00
00
01
10
11
00
10
10
00
00
11
01
00
10
00
00
11
10
11
00
10
01
10
10
00
10
11
00
10
10
01
00
10
00
10
00
10
10
00
00
01
00
11
10
00
00
01
11
01
10
10
01
01
11
00
10
10
00
01
00
10
10
00
11
10
10
10
10
00
01
00
11
10
00
10
00
11
11
00
00
00
00
10
10
10
00
00
10
01
10
10
01
10
10
01
10
10
00
10
00
00
10
10
10
00
11
10
10
00
01
00
00
00
10
10
00
01
10
11
01
00
01
10
11
10
00
01
10
00
01
00
10
00
10
10
10
00
00
00
00
10
00
00
01
01
00
11
00
10
00
00
10
00
00
10
10
10
10
00
11
11
01
01
10
10
00
01
00
10
00
01
00
10
00
10
10
10
01
10
00
01
10
10
10
10
01
11
01
00
01
00
10
10
00
00
11
10
01
10
11
10
11
00
00
10
11
10
10
01
00
10
11
00
00
11
10
00
11
01
00
00
00
11
01
11
10
00
11
11
00
00
11
11
01
00
01
11
01
00
10
11
01
00
10
00
00
10
00
11
11
10
00
10
00
10
01
01
10
11
10
00
10
00
10
10
01
10
00
00
11
01
01
00
10
11
00
10
10
00
10
11
01
01
01
10
01
10
11
01
10
10
10
00
01
11
00
00
00
00
01
00
11
11
00
00
10
00
01
00
10
11
11
10
00
10
00
10
00
10
11
10
01
11
00
00
00
00
10
10
00
01
00
10
10
00
10
10
00
00
10
11
00
11
00
00
11
11
10
00
01
10
11
11
10
00
10
10
11
01
00
10
11
10
01
00
10
01
00
00
10
10
00
11
10
10
11
11
10
01
00
01
00
00
10
10
10
00
01
10
10
00
11
10
10
00
01
01
10
00
00
01
01
11
10
10
10
10
10
00
01
10
11
00
10
00
01
00
10
10
10
00
10
11
00
10
10
11
00
10
10
00
11
10
00
10
01
00
00
01
00
01
10
00
10
01
00
11
10
00
11
00
00
11
10
01
00
01
10
00
10
10
00
00
00
00
01
11
10
00
11
01
01
01
00
10
10
01
10
00
00
10
11
00
00
00
00
10
00
10
00
01
10
10
11
00
11
10
00
10
01
01
00
10
11
00
00
00
11
10
10
01
00
00
10
11
00
01
11
10
10
00
11
10
01
00
00
00
00
10
00
01
10
00
00
10
11
11
10
00
00
10
00
10
00
10
01
01
00
10
10
00
01
00
10
11
10
00
10
11
11
01
00
00
10
11
00
01
01
10
10
11
11
00
01
11
11
00
11
01
01
10
11
00
00
11
10
10
10
11
11
10
10
00
10
10
01
00
00
00
01
00
01
11
10
11
00
01
11
10
00
10
01
01
00
00
10
00
00
10
00
10
11
01
00
01
10
10
01
10
10
10
00
01
00
10
10
10
00
00
10
11
00
11
11
01
10
11
01
00
11
00
00
01
11
00
00
10
00
00
00
10
00
00
10
11
01
00
10
01
11
10
11
00
01
00
01
10
10
00
00
11
10
00
00
10
00
11
10
01
00
01
10
10
11
00
10
11
10
11
10
01
00
10
10
00
11
11
10
00
00
10
00
10
10
01
11
00
11
10
01
00
01
11
00
10
11
00
00
00
00
10
00
00
10
01
10
00
00
10
11
00
11
10
01
11
11
10
01
00
10
00
00
00
11
01
00
00
10
01
00
10
00
00
00
01
00
10
10
10
01
10
10
01
10
00
10
00
00
10
11
10
01
01
01
10
00
00
00
00
10
10
00
10
00
00
10
01
01
01
10
01
01
11
00
00
00
10
10
01
11
11
01
00
00
11
00
01
00
10
11
00
00
10
00
00
00
10
11
10
00
00
10
01
11
10
01
11
10
10
11
01
01
11
10
01
11
10
00
10
00
00
00
11
10
00
11
00
01
10
01
10
10
00
01
00
11
10
01
10
11
10
01
10
11
10
00
10
11
00
01
11
01
11
01
00
10
00
00
10
10
00
00
11
01
10
01
00
10
10
10
00
10
10
00
01
10
00
00
00
00
10
00
00
10
00
10
00
11
00
00
00
01
10
10
00
00
10
10
00
10
11
11
10
00
10
00
00
11
00
10
01
00
00
00
11
00
11
00
11
10
00
11
11
10
00
00
00
10
11
00
11
10
10
01
00
10
10
01
10
00
10
10
00
00
11
10
11
01
10
00
01
11
01
11
11
01
11
10
10
10
10
00
01
00
00
00
11
00
11
10
01
00
10
00
10
11
10
00
11
01
00
00
00
01
10
00
00
00
00
00
01
11
01
00
11
10
01
10
00
00
00
10
10
10
01
10
01
00
00
00
00
10
00
11
00
10
10
01
10
10
00
10
00
10
10
00
00
11
10
01
00
10
11
10
00
00
01
01
01
11
00
10
10
00
11
11
11
10
01
00
00
11
00
01
10
10
00
00
11
11
01
00
11
01
10
00
10
11
00
00
00
01
10
11
01
10
00
00
11
10
10
01
00
11
00
10
10
11
00
00
10
11
11
01
00
01
10
10
11
01
00
10
00
00
00
11
10
00
11
10
01
11
00
11
00
00
11
11
01
10
11
10
00
01
10
00
10
10
00
01
11
01
00
10
10
00
10
10
00
00
00
10
10
00
11
11
01
10
00
10
00
00
10
11
01
10
00
10
00
11
11
00
00
00
01
01
01
00
10
00
10
11
11
10
00
00
10
01
00
01
01
11
10
10
11
00
00
11
10
00
10
10
00
01
00
10
10
00
01
00
01
10
00
11
00
00
10
11
00
00
10
11
00
00
10
00
10
11
11
11
00
00
10
00
00
10
10
01
00
01
00
10
00
01
10
01
10
11
00
00
01
10
10
00
10
10
11
10
11
00
00
10
10
10
00
01
01
11
10
10
01
01
00
00
10
11
10
00
01
11
10
00
11
10
10
01
00
01
00
10
00
10
10
01
00
10
11
01
10
10
10
00
00
10
10
01
00
01
00
10
10
00
10
10
10
10
00
10
00
00
00
00
10
00
01
00
10
00
01
10
10
01
00
10
00
00
10
01
10
10
00
11
00
11
00
01
01
10
00
11
01
11
11
00
11
10
00
01
00
00
10
10
00
00
11
10
10
00
11
00
11
01
01
11
00
01
10
01
10
00
00
10
01
00
00
11
11
00
00
11
00
11
10
01
10
01
00
11
01
11
10
00
01
10
10
00
10
10
00
01
10
10
10
11
00
10
00
00
00
10
10
11
00
00
00
01
11
11
00
00
10
01
10
01
00
01
11
11
11
01
10
10
00
00
11
01
01
10
10
00
00
10
00
11
11
01
01
00
10
00
00
10
00
00
10
11
00
00
00
11
01
10
10
10
10
01
10
00
10
10
00
10
00
00
00
00
10
01
10
10
00
00
10
00
11
00
01
10
10
00
11
00
01
10
11
10
11
01
11
10
01
10
10
11
01
01
01
11
11
00
00
01
00
10
11
01
00
10
11
00
10
01
00
10
10
01
11
00
00
11
00
00
00
00
00
00
00
10
00
10
11
10
01
10
00
00
01
01
11
10
01
10
01
01
01
11
10
11
00
01
11
10
00
11
10
00
10
01
00
10
00
10
01
01
11
00
01
01
10
10
00
01
10
10
00
00
10
11
10
11
01
00
11
01
11
01
10
10
10
00
00
01
10
11
00
01
11
00
00
01
10
01
00
10
00
10
00
00
11
10
01
00
10
00
01
11
00
00
10
11
10
10
11
00
00
10
00
01
10
00
01
11
10
10
00
10
10
10
11
00
11
11
11
10
10
01
10
10
00
11
11
00
01
00
00
00
10
10
11
00
01
00
00
11
10
01
10
10
00
00
00
10
10
01
10
10
00
10
11
10
00
10
10
11
11
10
00
10
10
10
00
11
10
01
00
10
01
10
11
00
01
11
11
01
01
10
10
01
00
01
10
10
10
10
00
00
00
00
00
10
10
10
01
00
00
10
11
10
00
00
10
10
00
01
10
00
10
00
10
10
00
10
00
00
00
10
10
00
00
10
00
00
01
00
01
01
00
01
11
00
10
11
01
11
01
00
00
01
00
00
10
11
00
10
10
00
10
10
10
10
10
10
00
00
01
00
00
11
10
01
01
00
10
10
00
01
10
10
00
01
10
00
10
11
11
10
00
00
10
10
00
00
00
10
10
10
00
10
10
00
00
00
10
01
11
10
10
11
00
11
01
00
10
10
10
01
00
10
00
10
11
01
00
01
10
10
11
00
01
11
00
00
00
00
10
00
00
10
10
00
11
01
00
00
10
00
10
00
10
10
11
01
00
11
01
00
10
11
11
00
00
10
00
10
11
00
01
10
10
10
11
10
10
10
00
00
00
00
11
01
10
10
01
00
01
10
10
00
00
10
00
00
11
00
00
00
01
10
11
11
10
11
00
00
11
00
00
00
11
01
11
11
00
11
11
10
10
10
00
00
10
11
00
11
10
00
01
01
00
10
11
00
01
00
10
00
01
10
00
10
00
11
10
11
10
00
00
00
01
00
01
00
10
11
00
01
01
01
00
10
10
00
11
10
10
11
01
00
10
10
10
01
10
00
01
01
10
11
10
10
00
00
00
10
10
01
11
00
10
00
00
10
00
10
10
10
01
01
10
10
11
01
11
00
00
01
10
10
10
11
01
11
11
00
00
01
00
01
00
11
10
01
11
10
11
00
00
10
00
01
01
01
10
11
01
00
10
10
10
00
11
10
00
10
10
01
10
11
00
00
10
10
01
00
10
10
11
10
11
11
10
11
10
00
01
10
10
01
10
10
00
00
00
01
10
01
01
10
10
10
10
00
00
11
10
00
01
10
01
11
00
00
11
10
10
00
00
11
10
00
00
11
10
00
10
00
01
01
11
00
11
00
00
00
10
00
01
00
10
01
10
00
00
00
10
10
00
00
10
10
01
00
00
00
10
00
10
00
00
11
01
11
01
00
11
10
11
01
11
10
00
00
01
10
01
01
10
10
10
00
10
10
01
01
00
01
00
00
10
10
01
10
11
01
00
00
00
01
11
00
10
10
00
10
11
11
10
01
11
00
00
00
00
10
10
00
01
10
01
00
10
00
10
10
00
10
11
00
11
00
00
10
10
00
10
10
00
00
11
01
10
10
11
01
00
10
10
00
00
01
00
11
01
01
01
10
10
10
10
00
10
10
01
10
11
10
11
10
10
00
01
00
10
01
10
01
10
10
00
11
10
01
00
10
10
00
00
10
01
00
00
10
10
10
01
11
00
11
00
10
10
01
01
10
00
00
10
10
10
01
01
10
01
10
11
10
10
01
01
10
10
00
00
00
10
10
00
00
10
11
10
00
00
11
10
10
10
01
00
10
00
10
01
00
00
10
10
00
00
00
00
11
10
10
10
00
10
00
00
01
10
10
10
10
10
00
11
01
10
10
10
10
11
10
00
11
11
11
00
01
10
00
10
10
01
01
00
11
01
00
00
11
00
10
10
01
01
10
01
01
01
00
11
00
00
01
00
10
10
11
01
00
00
10
00
10
00
10
10
10
10
00
10
10
11
01
00
10
10
10
00
01
10
01
10
00
11
10
00
10
01
00
01
01
11
10
00
00
10
01
01
10
00
10
11
01
01
10
11
01
00
10
00
10
10
01
00
00
10
10
00
00
10
11
10
00
10
10
00
11
00
10
10
00
10
10
10
11
11
11
11
11
11
11
01
01
11
11
00
10
00
00
10
01
10
11
00
10
00
11
10
00
01
10
11
01
00
01
10
11
01
01
10
01
10
10
00
11
11
01
00
00
00
11
10
00
00
11
11
11
01
00
00
11
10
00
10
10
00
01
00
00
10
00
10
00
00
10
10
01
10
00
10
00
10
11
00
00
10
00
10
01
10
00
01
10
00
10
10
01
00
00
10
00
00
00
11
10
11
01
10
10
11
00
01
01
11
11
10
01
11
10
00
00
00
10
10
01
00
10
10
10
01
00
11
00
11
11
01
11
11
00
11
11
11
00
00
01
00
11
11
11
01
01
10
01
00
10
11
00
00
10
10
01
00
10
10
11
00
00
01
01
10
00
10
00
00
11
00
00
10
00
00
00
10
10
00
11
11
10
10
01
10
01
10
10
01
10
10
00
00
00
11
10
01
11
00
01
10
11
10
10
00
10
11
00
11
00
00
01
10
00
10
10
01
00
10
10
10
01
10
00
11
10
00
01
10
10
10
10
01
10
10
00
00
00
10
00
00
11
10
10
00
01
10
10
10
11
00
10
00
00
10
01
10
00
10
10
01
11
00
01
11
11
10
01
00
11
11
10
01
01
10
00
01
10
11
10
01
10
11
00
00
11
00
00
10
10
10
01
01
00
10
00
01
10
00
10
00
00
00
00
10
10
01
11
00
10
00
10
00
00
11
00
00
11
11
01
00
01
10
01
00
00
10
10
01
00
10
11
11
11
00
10
10
00
10
11
00
00
00
10
00
10
00
10
11
01
10
01
10
01
00
01
10
01
01
01
00
10
00
00
10
11
01
01
00
11
10
00
10
11
10
10
00
00
00
10
10
00
01
11
10
00
11
10
10
11
10
01
10
10
11
01
00
10
10
00
00
00
10
10
00
00
10
00
11
00
00
00
10
10
00
10
10
01
00
10
10
10
01
00
00
10
01
10
00
10
10
00
11
01
00
10
11
11
01
01
10
10
00
11
10
01
01
00
00
00
10
00
00
11
10
10
00
10
10
00
01
11
00
10
11
00
10
10
10
10
10
01
01
10
00
10
11
00
01
11
10
11
00
10
10
11
00
00
10
11
11
11
00
00
10
00
00
10
10
00
10
10
00
01
10
10
01
00
01
10
10
01
11
01
01
11
10
10
11
10
00
10
11
00
00
00
01
10
00
00
10
00
11
00
00
10
01
10
01
00
00
10
10
00
00
10
10
00
00
10
10
10
10
11
11
01
11
10
00
01
01
00
00
10
10
00
10
10
01
10
11
10
10
01
00
00
00
00
10
10
11
01
01
10
00
00
10
10
11
00
00
10
00
01
01
11
00
00
00
00
00
10
11
00
00
00
01
11
10
10
01
01
11
00
10
11
01
01
11
00
00
10
10
00
00
10
11
00
10
11
00
11
01
00
00
10
01
10
01
00
00
00
01
00
10
10
01
00
11
00
01
10
10
10
11
11
01
00
10
10
00
00
11
10
10
00
10
10
00
10
11
00
01
01
10
01
11
11
10
10
11
00
00
11
00
00
10
10
10
10
01
00
00
00
10
11
00
00
10
10
00
10
00
00
00
00
10
01
00
11
10
10
00
10
00
00
10
10
00
11
00
10
01
10
10
10
11
10
11
10
01
01
00
10
11
10
01
10
00
00
00
10
10
00
00
00
00
10
01
10
10
00
11
10
10
10
01
00
11
11
10
01
10
00
10
11
11
01
11
10
01
11
00
00
00
10
11
10
01
01
00
10
00
01
00
10
10
10
10
00
00
01
11
10
10
00
11
10
01
01
01
11
10
00
10
10
00
00
10
00
10
00
11
10
10
10
00
10
01
11
00
10
10
11
10
10
01
10
10
00
01
10
00
11
00
11
10
00
00
10
11
00
00
11
01
01
00
00
11
01
00
11
10
01
00
10
00
10
11
10
10
10
10
01
11
00
11
00
00
00
10
11
11
01
01
10
10
10
10
01
10
11
10
00
00
11
01
01
00
10
10
01
00
10
11
00
10
10
10
00
11
00
11
11
10
00
00
11
00
10
01
01
00
00
01
10
00
01
10
10
00
00
01
00
11
00
00
11
01
11
01
10
00
01
10
10
10
01
01
01
01
11
11
11
01
00
00
10
10
00
01
11
10
00
01
00
11
00
11
00
11
10
11
01
00
10
00
11
11
01
00
00
11
00
00
11
10
11
00
00
00
00
10
00
00
10
00
10
00
11
11
10
01
00
01
00
10
10
00
10
11
10
01
00
11
01
00
00
00
00
10
01
10
00
00
11
10
10
00
00
00
00
11
10
00
01
00
11
00
10
10
10
00
01
00
00
00
01
11
10
11
10
11
11
11
01
00
01
10
00
01
11
11
01
00
11
00
01
01
10
11
01
11
10
00
01
01
10
00
00
11
10
00
00
11
11
00
10
10
10
01
10
00
00
00
01
11
10
00
11
00
00
11
11
10
10
00
00
01
10
11
01
11
11
10
01
00
00
10
11
01
10
00
00
10
10
10
00
11
00
10
00
00
00
00
11
10
11
11
10
01
11
01
00
01
11
00
00
11
10
00
00
11
00
00
00
01
11
01
01
11
10
11
00
10
10
00
10
00
00
00
11
11
00
10
10
10
11
00
10
01
00
00
11
01
00
01
00
10
10
10
00
00
10
11
00
01
10
10
11
10
10
00
11
10
11
00
11
11
01
01
00
01
10
11
01
00
10
11
01
00
10
11
10
00
10
00
00
01
00
11
10
01
11
10
00
00
11
10
01
01
11
10
00
01
10
00
00
00
10
00
01
00
00
10
10
10
11
01
00
10
11
10
01
01
00
11
01
01
10
01
00
11
01
00
00
01
10
10
00
00
10
11
00
00
11
00
00
00
01
10
10
11
00
10
00
10
10
00
11
00
10
10
10
11
00
10
00
00
10
00
00
11
00
10
10
11
11
10
01
00
00
10
00
10
10
00
10
11
00
10
10
11
11
01
11
00
01
00
10
00
00
10
11
01
01
11
10
11
11
00
00
01
01
10
10
00
00
00
10
11
00
11
00
01
00
11
10
10
10
11
00
00
00
00
01
10
10
10
10
01
01
10
11
00
11
01
01
10
10
00
01
11
11
00
01
01
11
10
10
01
01
00
11
10
00
00
01
01
10
00
00
00
00
10
10
01
10
00
01
10
10
10
00
01
10
10
10
10
00
10
00
00
00
10
01
11
11
01
00
00
10
10
10
10
00
00
10
01
11
00
00
11
00
10
00
10
10
10
11
01
01
00
11
11
10
10
10
00
01
11
11
10
11
00
01
00
10
00
00
10
00
11
10
10
01
10
10
00
10
11
10
00
10
10
00
00
01
00
00
10
11
10
10
11
11
01
00
10
00
11
10
10
10
00
00
00
01
00
00
11
10
11
00
10
10
01
01
10
10
00
00
10
11
00
00
10
01
01
10
00
10
00
10
10
01
11
00
10
11
01
01
01
10
10
00
01
11
01
00
11
01
00
10
00
00
10
10
00
10
10
00
00
10
00
10
10
00
01
01
00
10
10
10
01
01
10
00
00
10
01
00
00
00
00
10
00
10
11
10
00
01
10
10
01
10
00
00
01
10
11
11
00
11
10
00
10
00
00
11
00
00
00
01
00
10
11
11
10
10
10
00
10
10
00
11
10
10
01
00
00
10
11
00
00
11
11
01
01
00
10
00
00
00
10
10
01
10
10
10
00
10
00
01
10
11
10
11
00
00
11
00
10
10
00
00
11
01
00
10
00
00
00
11
01
00
10
01
11
10
00
11
00
01
10
11
01
00
11
10
00
00
10
11
10
10
00
11
10
10
10
01
01
01
00
10
01
10
10
01
01
00
01
11
11
01
10
11
00
10
10
11
01
00
00
00
01
01
00
10
10
10
00
00
10
10
00
11
00
11
10
10
10
11
00
01
01
00
10
00
00
10
11
10
00
10
10
00
01
11
10
10
00
00
01
00
10
10
01
00
01
01
01
01
00
00
10
00
00
10
10
11
00
00
10
00
01
10
10
01
00
10
10
11
10
01
00
01
00
10
01
00
11
10
10
10
01
01
01
10
10
00
00
00
01
10
00
01
10
01
11
10
01
00
10
10
10
00
00
10
10
00
01
00
11
00
10
10
00
00
10
10
00
00
10
10
10
01
00
01
00
01
00
10
01
00
00
11
10
00
00
01
10
00
10
00
10
01
01
10
00
11
01
10
10
01
11
00
11
10
00
10
01
00
10
11
01
10
01
11
00
10
11
00
10
00
00
11
10
00
11
10
00
00
10
00
11
11
01
11
10
11
10
10
10
01
00
00
01
10
00
00
10
10
00
00
10
10
10
00
11
10
00
10
10
11
00
10
01
11
00
00
00
00
00
10
10
11
11
00
10
00
10
01
11
00
11
10
10
10
00
11
00
01
10
01
00
10
00
11
00
00
11
11
11
00
10
10
10
00
01
00
11
11
10
01
00
01
10
11
00
01
00
00
01
10
10
10
01
00
10
00
00
00
10
00
10
10
00
01
00
10
00
11
01
10
00
00
10
01
11
01
01
00
01
11
10
00
10
10
00
11
10
01
01
10
10
10
11
00
10
11
00
11
11
11
10
10
01
11
10
00
00
11
00
00
01
11
01
00
11
00
00
01
00
00
10
10
00
01
10
11
11
10
00
10
00
01
01
10
01
11
10
00
00
10
10
01
00
10
10
01
01
11
11
01
11
01
10
00
00
10
11
00
00
11
10
00
00
00
01
01
10
10
00
01
00
00
00
10
10
11
10
00
01
00
10
10
00
01
10
11
01
00
00
00
11
10
00
00
10
00
01
11
11
00
00
01
10
01
00
10
10
11
00
11
10
01
00
11
11
01
01
11
00
00
10
11
10
00
01
11
10
01
10
11
00
00
00
10
00
00
10
10
10
11
11
01
00
10
00
10
00
01
11
10
10
11
10
00
11
00
00
01
01
11
11
01
11
10
01
11
11
00
01
10
01
11
11
00
01
00
10
00
00
01
10
11
01
10
11
00
00
10
11
00
00
11
10
00
00
10
00
00
10
10
11
10
10
11
00
01
00
00
11
01
01
11
00
11
10
11
10
00
00
10
11
10
00
00
00
00
00
00
10
00
10
10
10
00
00
11
10
01
00
01
10
10
00
01
10
11
01
00
00
11
10
01
11
11
01
10
10
10
11
01
10
01
10
01
01
00
00
00
01
10
11
00
01
10
10
00
10
11
00
00
10
00
10
10
01
00
00
10
01
00
11
00
00
10
11
10
00
00
11
00
01
00
00
00
11
00
10
10
00
10
11
10
00
01
11
01
10
10
01
10
01
10
10
00
00
00
10
11
10
10
00
01
00
10
00
00
00
11
10
00
10
10
00
00
11
11
00
00
00
01
00
01
10
10
00
01
00
11
00
01
10
01
10
10
01
01
00
10
00
01
11
10
10
10
11
01
01
11
10
00
00
10
00
11
11
01
00
00
01
10
00
01
01
11
11
10
01
00
00
00
10
10
01
10
00
00
10
00
00
10
00
11
10
10
10
00
01
00
10
11
00
10
00
01
00
00
10
10
10
01
11
11
00
00
00
00
10
10
10
00
10
11
10
10
01
10
01
01
00
10
11
01
00
10
10
00
00
10
00
00
10
10
11
10
00
00
00
01
01
10
11
00
00
00
00
10
10
10
11
00
00
00
11
00
10
00
10
11
11
00
00
11
01
10
01
00
10
11
00
11
00
11
11
11
00
10
10
01
01
11
11
01
10
00
00
00
11
10
00
00
00
10
01
01
10
10
01
10
10
01
01
10
11
00
01
11
11
01
00
00
10
00
10
11
10
00
10
00
00
11
00
10
11
00
00
10
10
00
10
11
10
10
01
10
10
10
00
00
10
00
10
11
00
01
00
00
10
00
00
10
00
00
00
11
11
01
11
00
10
00
00
10
01
01
00
10
01
10
10
00
10
10
10
10
00
01
10
10
01
00
11
00
01
11
11
00
00
10
00
10
01
01
10
00
10
01
01
11
11
01
01
10
01
10
10
01
00
10
10
00
00
10
11
00
10
10
00
10
11
00
10
10
01
10
00
10
10
10
00
01
10
10
00
00
00
10
10
00
00
00
11
00
11
10
00
00
11
00
01
10
10
00
10
01
10
01
00
01
00
00
11
10
00
01
11
10
11
10
10
10
10
00
00
11
00
10
01
10
10
00
00
10
01
01
10
10
01
10
01
00
01
00
11
11
01
11
10
00
00
01
11
11
01
10
10
01
10
00
11
10
10
11
11
01
11
11
01
10
10
10
11
00
00
01
11
10
10
10
00
11
00
00
10
11
00
11
01
00
00
00
00
10
10
10
01
11
11
01
11
00
10
10
00
00
01
11
10
00
00
00
01
10
10
00
11
10
01
10
00
01
10
00
10
10
01
10
11
00
10
01
00
00
00
00
10
11
00
11
10
10
10
00
01
10
10
00
01
00
00
01
00
10
10
00
00
10
10
00
10
01
11
10
01
11
01
11
10
10
00
10
01
01
10
11
10
01
00
10
01
11
10
01
11
00
00
10
00
01
10
10
10
01
10
11
00
00
10
00
10
10
00
00
00
11
11
10
10
10
11
01
11
11
11
00
10
11
00
00
10
10
00
01
11
10
01
10
11
00
10
10
01
00
11
00
00
11
10
01
10
10
01
10
01
00
01
10
00
10
11
11
10
00
00
10
10
10
00
01
00
10
10
00
11
00
11
11
00
10
01
11
10
11
00
00
10
10
10
01
00
00
11
01
00
11
00
00
11
11
00
10
01
10
00
10
01
00
00
10
10
00
01
10
01
10
11
10
10
00
11
11
00
01
10
10
10
01
10
10
01
00
00
11
10
11
00
10
00
00
11
10
00
00
00
00
10
01
10
01
10
00
10
10
00
01
00
10
10
01
10
11
10
10
10
01
00
00
10
11
11
11
11
00
10
10
01
01
01
10
10
11
10
00
10
11
11
00
00
11
00
11
00
00
11
00
11
00
00
11
10
00
00
00
11
01
00
00
10
00
01
10
10
01
00
10
01
00
00
10
01
10
00
01
10
00
11
00
00
00
11
11
10
00
10
11
00
11
01
00
11
00
00
11
00
00
11
00
10
11
00
10
10
11
00
01
10
11
00
11
00
10
10
00
10
11
00
00
10
10
00
11
10
01
10
10
10
10
10
00
10
10
01
01
01
11
00
10
00
00
11
00
11
10
01
11
10
01
00
00
10
10
00
10
10
00
10
00
10
00
00
00
10
11
00
00
10
10
00
01
11
00
00
10
01
00
11
00
11
10
10
00
00
10
00
11
10
10
00
01
10
00
10
10
11
00
00
00
00
11
00
10
11
10
00
11
10
00
10
11
01
10
10
10
10
01
00
10
10
01
10
10
00
10
11
01
00
10
10
00
00
11
10
01
00
10
10
01
00
10
10
00
00
01
10
11
00
10
10
10
11
01
10
10
01
00
01
00
10
00
00
10
10
10
01
10
00
01
11
10
10
11
00
00
11
11
00
00
11
10
00
00
00
10
10
01
10
10
00
00
00
10
00
11
00
11
11
11
00
10
00
00
01
00
10
11
00
10
11
00
00
11
10
01
00
10
01
11
00
00
00
11
10
10
00
00
10
10
11
11
10
10
01
10
00
00
11
11
00
01
10
01
00
00
01
00
10
10
00
00
00
01
00
00
01
00
01
01
11
11
11
00
00
10
10
00
00
10
11
00
00
10
00
10
11
00
00
01
00
10
11
01
10
10
00
01
10
11
10
00
00
10
10
01
10
10
11
00
01
01
10
11
10
00
00
00
11
10
10
10
11
10
00
00
10
01
10
10
00
01
10
10
10
10
00
10
01
00
00
10
10
00
00
11
11
00
11
10
10
11
00
11
01
00
10
01
00
00
10
11
00
10
11
11
11
11
10
00
00
01
01
00
10
10
00
00
00
11
10
00
00
01
10
00
00
00
01
10
11
00
00
10
10
10
00
00
11
11
01
00
10
10
11
10
00
10
10
10
10
10
10
10
10
00
11
01
01
10
10
00
00
00
11
11
01
00
00
00
00
00
10
00
00
10
10
10
10
01
10
10
10
01
10
10
10
10
00
01
11
00
00
10
00
00
10
01
10
10
00
01
10
00
10
10
11
01
01
01
10
11
10
11
01
01
11
10
00
11
01
01
00
10
00
00
10
01
10
10
10
00
00
00
00
10
00
11
00
10
11
00
10
01
00
11
11
00
00
11
10
11
10
11
10
01
10
10
01
00
10
11
00
00
11
01
11
10
00
00
00
00
00
10
10
00
10
00
00
10
00
00
00
10
10
11
10
10
10
00
11
01
10
01
11
00
11
10
00
00
00
10
00
01
11
00
01
10
01
00
01
00
10
01
01
10
10
10
01
11
11
00
01
10
10
10
00
00
10
11
00
10
10
10
00
10
10
10
10
00
10
01
00
10
00
00
01
10
10
10
11
00
00
01
10
10
00
10
10
11
01
00
00
11
10
11
00
00
10
01
10
00
10
10
00
00
00
01
00
11
10
00
11
10
11
00
00
10
00
01
00
10
10
10
01
01
00
10
00
00
11
00
00
10
01
10
11
00
00
10
11
10
10
00
00
10
01
00
00
00
10
10
00
00
00
10
10
10
00
11
10
00
10
00
00
00
00
11
00
10
10
01
10
11
01
00
11
01
11
01
01
10
10
10
00
01
10
10
10
10
00
00
00
11
10
00
00
00
00
00
10
10
01
11
00
00
10
00
10
00
01
01
11
00
01
10
00
01
10
01
00
00
11
01
11
11
00
01
10
00
10
10
10
00
10
11
11
01
01
10
10
00
11
01
10
10
01
00
11
10
01
00
10
10
11
00
00
10
10
00
00
11
00
10
10
10
10
00
10
10
00
10
11
10
00
00
00
11
00
01
10
01
00
00
10
00
01
10
10
01
00
11
10
00
10
11
10
00
00
11
10
11
11
01
10
01
00
00
10
10
00
01
10
10
10
01
00
00
10
10
10
10
10
00
00
00
00
00
11
00
01
00
11
00
11
10
01
00
10
01
01
11
10
10
00
00
11
00
11
11
11
00
11
01
00
01
10
10
11
01
01
00
10
11
01
11
01
00
10
10
00
01
10
11
00
00
11
10
11
10
01
00
11
00
00
10
11
10
00
00
11
00
10
10
11
10
11
11
01
00
10
11
00
00
00
10
10
00
01
00
00
10
10
01
00
11
00
00
11
00
00
10
11
00
10
01
11
00
00
10
11
10
00
01
01
11
11
11
10
00
00
10
10
01
00
11
01
00
01
00
11
00
10
01
00
11
10
10
00
10
01
10
10
10
10
00
01
00
01
10
01
00
00
01
10
00
00
00
11
00
10
01
01
11
11
00
00
00
00
01
11
10
00
00
10
00
10
01
10
00
00
11
01
10
00
00
10
10
10
01
00
01
00
10
10
10
10
00
01
10
01
00
10
00
00
00
10
10
01
01
00
01
00
10
00
01
10
10
01
00
01
00
10
00
10
11
01
10
10
01
00
01
10
10
01
00
10
11
00
01
00
00
10
00
00
10
00
00
00
10
10
10
00
00
00
00
00
00
00
10
00
11
01
01
11
10
10
00
10
11
01
01
11
01
00
00
00
10
10
00
11
10
00
00
00
11
00
00
01
00
10
01
00
11
10
01
10
11
00
11
11
10
01
01
10
11
00
01
10
11
00
10
10
00
11
00
10
10
11
10
00
00
00
10
11
00
11
11
11
11
00
10
01
00
10
00
10
11
11
00
00
01
10
00
10
10
00
10
10
11
10
10
10
00
01
00
10
01
00
11
00
01
00
10
10
01
01
11
00
01
10
10
10
10
11
00
01
00
01
01
00
10
10
00
00
10
10
10
10
10
00
01
00
00
01
10
00
00
10
01
10
10
01
01
00
11
10
11
11
00
10
00
00
01
11
10
01
10
11
01
11
11
00
00
11
10
11
11
01
00
11
00
10
00
10
10
00
00
11
01
10
11
10
10
00
11
10
11
10
01
00
01
10
01
10
10
11
01
00
11
10
00
00
10
10
10
10
00
10
00
00
10
10
00
00
10
00
01
10
00
01
00
00
01
11
11
11
00
00
11
00
00
10
11
00
10
10
00
11
10
00
10
01
01
11
10
01
11
11
01
11
00
11
00
01
00
10
10
00
00
11
00
00
00
10
00
00
10
10
01
10
00
00
11
00
10
10
00
00
10
00
10
00
00
01
10
10
00
00
10
10
01
00
10
10
00
01
10
01
00
10
10
10
00
00
01
00
10
00
11
10
10
00
00
01
10
00
11
10
10
00
11
00
00
10
00
00
11
00
11
10
10
10
10
11
01
00
10
00
01
00
10
10
10
01
10
00
10
01
00
10
10
01
10
11
11
01
00
10
01
00
00
10
10
00
10
01
10
10
00
11
11
00
10
00
01
01
00
10
10
00
11
00
01
11
10
00
11
00
00
10
11
01
01
11
10
10
10
01
00
10
10
01
00
00
10
11
00
00
10
11
10
00
11
00
10
11
00
00
11
10
10
11
10
00
11
00
01
11
00
00
10
01
11
00
00
10
10
10
10
01
00
00
01
01
11
10
10
11
10
00
00
01
10
10
11
11
11
01
01
00
10
10
10
00
11
10
00
11
10
01
00
10
00
00
10
11
10
10
00
11
01
11
10
00
11
01
10
10
00
00
00
10
10
10
01
00
00
11
01
00
01
00
10
00
01
10
11
10
00
10
00
10
00
00
10
11
10
00
00
10
11
11
00
00
01
11
10
00
10
00
10
11
01
00
00
00
10
00
10
10
00
10
10
01
11
11
01
00
00
11
11
00
00
10
10
11
00
00
01
00
00
00
10
11
10
11
10
01
10
00
00
00
10
01
01
00
01
01
01
10
00
10
10
00
01
00
10
10
00
00
01
10
10
00
00
00
11
01
10
11
00
00
01
00
10
10
10
00
01
00
01
10
00
00
00
10
00
10
10
00
10
10
10
10
01
01
11
00
10
10
11
00
11
11
11
00
00
00
11
11
10
01
01
11
10
10
00
11
01
00
11
01
00
11
00
11
10
01
01
10
10
00
10
00
00
00
10
10
00
00
10
00
01
10
11
10
11
01
10
00
00
00
00
01
11
11
00
00
11
10
10
11
00
01
10
10
10
10
01
10
10
10
00
00
00
00
10
01
11
01
00
11
10
00
10
10
00
00
10
10
01
00
00
11
01
01
10
00
01
01
10
10
11
00
00
10
00
00
11
00
10
10
01
00
00
10
10
10
01
00
01
11
10
01
10
11
10
00
01
10
01
00
00
10
00
00
01
00
10
00
10
10
01
11
11
00
10
01
00
00
01
10
10
00
01
11
10
00
00
11
00
00
01
10
10
00
10
00
10
10
01
10
10
10
00
11
10
10
10
01
00
00
10
01
10
00
00
10
11
00
10
10
00
00
01
10
11
10
01
00
00
01
10
10
00
00
10
00
10
00
10
11
11
11
10
01
00
01
10
10
10
00
10
11
10
00
01
11
01
10
11
11
00
10
10
01
11
00
00
10
01
01
01
10
11
10
00
11
00
00
00
00
11
11
11
10
00
11
00
00
11
10
00
01
10
01
11
10
10
10
01
00
10
10
10
10
00
10
11
11
10
00
01
11
01
10
00
01
11
10
01
10
11
10
01
11
10
01
00
10
00
01
10
00
11
11
11
00
10
01
01
10
11
00
00
10
10
00
10
11
00
10
10
01
10
00
10
00
00
10
10
11
00
10
10
00
11
11
11
10
01
00
10
00
10
00
00
11
00
00
00
00
10
11
00
10
10
10
01
00
10
00
10
10
01
10
01
00
11
10
11
10
01
00
01
01
10
00
10
10
00
10
10
00
10
00
00
11
11
10
00
00
11
11
10
01
01
00
00
01
11
00
01
10
00
01
11
10
00
00
10
00
00
00
10
00
00
10
10
00
00
10
01
00
11
10
01
01
01
01
10
00
10
00
10
10
01
00
10
00
00
11
11
10
00
00
10
00
00
11
11
00
01
11
11
00
00
00
11
00
11
10
01
11
10
01
10
10
01
00
11
00
00
10
10
00
11
11
01
00
10
11
00
00
00
10
10
01
01
10
01
11
10
00
11
01
11
00
00
00
10
10
01
01
00
10
00
01
01
11
11
00
10
11
00
00
00
10
10
00
10
10
01
11
10
01
10
00
11
11
01
00
00
10
10
00
11
01
00
10
10
10
00
10
01
10
11
10
00
00
10
00
00
01
10
10
00
11
10
00
10
10
00
00
00
01
01
10
01
10
10
11
10
00
01
11
00
00
00
10
10
11
00
10
00
00
00
11
10
01
01
11
00
10
10
00
10
11
11
01
10
10
00
10
10
00
01
10
10
00
10
10
00
00
10
00
01
10
10
10
00
10
01
10
01
10
10
01
10
00
01
10
10
00
10
11
00
00
10
01
10
00
01
01
10
10
01
11
11
00
01
10
10
00
00
10
00
00
11
11
10
10
11
10
10
10
00
01
10
01
00
00
00
01
00
00
00
10
00
00
00
00
10
00
10
10
10
11
00
00
10
01
00
11
01
00
00
00
00
11
11
11
01
01
00
00
00
00
10
10
01
00
10
10
01
10
00
00
00
00
00
01
10
01
11
10
00
10
01
10
11
01
11
10
01
00
00
01
10
11
10
11
00
01
10
00
10
10
00
00
10
10
00
11
10
00
10
10
11
00
00
01
10
10
10
10
00
01
00
11
11
00
10
01
10
01
00
11
10
00
11
10
00
00
00
10
00
10
00
00
11
00
01
01
11
11
00
11
10
10
11
01
00
10
10
00
00
00
10
00
11
10
10
10
00
01
00
01
10
01
00
01
01
11
01
00
11
00
01
10
00
00
11
01
00
10
10
00
01
11
01
01
11
11
01
01
01
01
01
10
11
11
10
00
00
10
10
11
00
00
11
10
00
00
11
11
10
00
00
10
10
10
10
01
01
00
11
10
01
00
11
00
00
11
11
11
01
10
11
00
11
00
01
10
11
10
00
01
10
00
00
00
00
11
00
10
10
10
10
01
00
10
10
10
00
11
11
00
10
00
11
10
00
10
01
10
00
10
11
10
10
01
11
10
00
00
01
01
11
11
01
11
10
10
00
11
00
00
10
11
10
00
00
00
01
10
10
00
10
11
00
10
10
11
00
01
11
11
00
00
11
01
01
10
11
10
10
00
00
00
11
10
00
10
11
10
00
01
00
01
10
00
01
00
11
11
11
10
00
00
00
10
10
00
10
00
01
01
11
11
11
00
11
00
01
10
10
00
00
11
10
00
00
10
10
10
10
00
00
00
11
01
00
01
10
11
00
00
00
10
10
10
10
01
11
01
00
10
11
00
10
10
01
00
11
10
01
00
10
00
00
00
10
10
00
10
10
00
00
10
10
00
00
10
01
10
10
11
11
11
01
01
10
10
00
00
10
10
01
01
00
10
11
10
10
00
01
11
11
00
00
10
10
11
01
10
10
00
01
00
01
10
00
01
00
01
00
11
10
11
00
10
00
00
01
01
00
10
10
11
11
11
01
11
00
00
10
00
01
11
10
10
01
10
10
00
01
01
11
00
11
01
00
01
10
00
01
10
00
11
10
00
10
10
00
00
10
11
01
00
10
01
10
00
10
10
00
00
10
01
01
00
01
00
11
01
11
00
01
00
11
00
00
11
10
00
10
11
00
01
11
10
01
00
01
11
00
00
10
10
00
00
00
11
01
00
00
00
01
00
00
00
00
00
11
10
11
10
00
11
01
00
10
10
10
00
00
10
00
01
10
01
00
00
01
11
01
01
00
10
00
10
10
00
00
11
10
11
10
10
10
00
10
01
00
10
00
00
01
00
00
10
10
11
00
10
10
00
00
11
11
10
11
00
01
01
11
11
00
10
00
00
10
00
11
00
10
10
01
11
00
10
11
10
00
10
10
00
10
01
00
00
11
11
11
10
00
00
11
00
01
10
10
11
00
00
10
10
00
10
00
00
11
10
00
00
10
10
01
00
10
10
00
10
00
00
11
01
00
00
10
10
10
10
00
00
10
00
11
10
10
00
00
11
00
00
10
01
11
00
10
11
00
00
00
00
10
10
10
01
00
10
10
01
00
10
01
00
00
00
00
10
11
11
01
00
11
10
10
01
10
00
10
10
01
00
10
00
00
10
00
00
11
10
01
10
00
10
01
10
10
11
10
00
10
00
00
11
10
00
11
10
00
01
00
01
01
11
10
00
00
11
00
00
00
10
10
00
00
00
10
00
10
01
00
10
00
00
01
10
00
10
10
10
10
01
01
11
11
00
11
01
00
00
11
10
01
10
11
10
00
11
00
00
10
00
10
01
00
10
01
00
01
10
11
10
10
10
00
00
00
01
10
10
10
01
10
01
00
01
10
00
01
01
11
11
00
01
10
01
00
10
10
00
00
10
11
00
10
00
11
10
10
01
01
01
01
01
11
10
01
00
10
00
01
10
10
10
10
11
00
10
01
00
00
10
10
10
10
00
00
10
01
11
10
00
00
00
10
10
00
00
00
01
10
10
00
10
11
10
10
00
10
00
00
00
10
00
11
00
00
10
00
01
01
10
10
10
10
11
01
00
00
00
01
10
00
11
10
11
10
00
10
10
00
01
01
10
10
01
11
01
10
10
10
10
10
10
11
01
00
00
00
10
10
01
00
00
01
00
10
00
01
01
00
00
10
10
11
10
01
10
11
01
10
01
00
10
10
01
00
01
10
10
00
00
00
10
10
00
00
10
00
01
01
10
11
00
10
10
10
10
11
01
00
00
10
10
10
00
10
01
00
00
10
11
01
10
10
10
10
00
01
00
10
10
00
00
01
10
11
00
01
00
10
00
11
00
00
11
10
01
10
00
10
10
00
00
00
00
01
10
10
11
00
11
10
11
10
01
00
10
00
01
10
10
00
00
01
10
10
10
00
00
10
01
11
01
10
01
00
00
00
10
11
00
10
11
00
00
00
11
00
00
00
11
10
10
10
01
01
01
10
10
10
01
00
10
10
10
10
00
10
10
10
00
00
01
11
01
01
00
10
00
01
00
10
11
00
01
00
10
10
11
00
10
10
01
00
00
10
10
10
11
00
11
01
10
01
00
11
00
00
00
10
10
11
00
00
10
10
10
11
11
00
00
11
00
10
10
11
00
00
10
11
10
00
00
10
00
10
10
00
00
11
11
11
01
00
10
00
00
10
00
00
11
11
00
01
01
11
01
10
01
00
11
00
11
10
01
11
10
10
00
00
10
10
10
00
00
01
01
10
00
10
00
10
00
00
00
10
01
11
11
01
11
01
01
00
10
00
00
00
10
10
01
10
00
00
00
10
00
00
10
10
10
00
00
01
00
10
10
10
00
00
10
10
00
11
11
01
10
10
01
00
10
11
00
01
10
01
10
01
00
00
11
10
10
11
11
00
01
10
00
01
00
11
00
01
11
11
00
10
11
00
01
10
10
00
11
00
10
11
00
01
10
00
01
10
10
00
00
10
10
01
11
11
10
10
00
11
00
01
10
10
00
00
00
10
10
01
00
10
01
01
00
11
00
11
10
01
00
00
10
11
10
10
00
00
10
11
10
01
00
00
10
10
00
11
00
10
00
10
00
10
01
00
00
10
10
10
01
10
10
10
10
11
10
00
00
10
11
10
10
00
11
01
11
00
10
01
10
10
10
11
00
01
01
00
00
10
00
01
01
11
10
01
10
11
00
00
01
10
11
00
10
11
01
10
10
00
11
11
00
11
01
01
10
00
00
10
00
00
10
10
00
10
00
01
10
11
00
11
10
00
00
00
00
00
00
10
10
01
01
10
01
10
00
11
00
01
11
00
00
00
01
00
11
10
10
00
11
00
00
01
11
11
00
10
10
01
11
00
00
11
00
10
11
01
11
11
11
01
00
01
11
11
10
01
00
10
10
00
11
10
01
00
01
10
01
00
00
10
11
11
00
00
10
01
01
00
10
10
00
10
00
01
10
00
11
10
01
10
11
11
01
11
10
10
00
00
10
01
01
11
11
01
01
10
01
10
10
00
01
10
10
11
00
10
10
01
00
00
10
11
10
11
10
01
10
01
00
00
10
10
00
00
10
11
01
01
00
10
11
01
00
00
10
10
00
10
01
10
10
01
00
01
01
10
00
00
00
10
00
00
11
11
00
00
00
10
10
00
10
01
00
00
11
10
00
11
11
00
01
11
11
11
01
00
01
10
00
00
10
11
01
10
10
01
01
10
11
00
01
01
10
11
11
00
10
01
00
01
00
01
11
00
10
11
10
00
00
10
00
10
10
00
11
10
10
10
11
00
00
10
10
01
00
10
10
01
00
11
01
00
10
10
10
00
11
10
01
10
00
01
11
00
10
01
11
10
01
10
01
10
11
00
10
10
00
00
11
10
01
00
10
00
00
10
00
00
01
10
10
10
10
11
10
01
00
01
11
01
11
00
01
00
00
11
11
00
01
11
11
10
00
01
10
11
10
10
01
00
10
01
10
10
11
10
01
00
10
10
01
10
10
10
00
00
11
10
01
01
01
11
01
10
10
00
10
10
01
01
10
10
00
10
11
00
00
11
10
00
01
00
11
10
00
01
11
10
10
00
01
11
11
10
01
00
01
00
01
11
10
10
00
10
01
00
11
01
01
00
11
10
10
10
00
10
10
01
00
10
10
00
01
10
10
00
11
10
10
10
00
00
00
00
11
10
10
00
11
10
01
01
01
10
11
10
10
00
01
11
01
01
10
00
00
00
10
00
10
10
10
00
11
00
11
11
00
11
11
01
01
10
10
10
01
00
10
00
10
11
00
00
01
00
01
11
11
10
01
00
10
11
01
00
00
10
01
10
10
10
10
10
10
01
00
00
10
00
01
10
11
01
11
00
11
00
00
10
10
00
00
10
01
11
00
00
11
01
10
11
01
10
11
00
10
10
01
00
01
00
10
11
10
10
01
00
10
00
10
10
00
01
00
11
00
01
11
01
00
11
01
00
00
10
01
10
00
00
10
01
00
10
10
00
10
11
00
00
00
10
11
11
11
01
01
00
11
11
00
00
10
10
00
00
10
11
00
11
00
11
00
00
10
01
10
10
00
00
10
10
01
11
01
01
00
01
00
10
10
00
10
10
00
00
00
00
00
00
00
10
11
00
00
10
00
11
10
01
11
10
00
00
01
00
11
00
00
11
00
10
11
10
00
00
11
01
01
10
11
00
00
10
11
00
00
10
10
10
00
00
01
00
11
10
00
01
11
00
10
00
11
10
00
10
10
01
01
00
01
10
11
10
01
00
11
10
10
10
00
01
10
00
00
11
00
00
10
10
10
11
10
00
00
00
00
11
11
10
01
00
01
01
11
11
11
00
10
00
10
11
00
01
10
10
01
00
10
00
00
10
00
00
10
11
01
00
01
00
10
10
00
01
11
11
00
00
10
10
10
01
00
00
10
11
10
01
00
10
10
00
00
10
00
01
00
11
00
11
10
10
00
00
01
10
10
00
00
00
10
01
01
11
00
10
10
10
00
10
01
10
00
00
01
10
01
00
01
00
10
10
10
10
00
00
11
11
01
10
01
11
00
10
01
10
10
00
10
10
00
01
11
10
00
00
10
00
10
00
00
10
10
11
00
10
00
10
01
01
10
11
00
00
10
10
10
10
11
00
01
11
10
01
10
11
10
11
01
01
00
11
01
00
11
10
00
01
10
11
11
11
10
00
01
10
01
10
01
00
10
11
00
00
10
10
00
00
00
10
10
00
00
10
01
00
00
11
00
10
11
01
11
10
01
00
01
10
10
11
00
00
10
00
01
01
01
10
10
10
00
01
10
01
10
00
00
00
00
00
10
10
10
10
00
10
10
10
00
01
01
01
10
11
00
01
10
00
10
10
10
01
11
10
10
11
01
10
00
10
01
00
11
10
11
10
00
00
11
10
01
01
10
10
01
10
10
01
01
11
10
00
01
00
00
00
01
11
10
01
10
10
00
00
10
00
10
10
11
11
00
10
00
00
10
00
00
10
11
00
00
11
10
00
00
10
01
11
10
00
10
10
10
00
10
00
10
01
10
11
00
00
11
00
00
01
11
00
01
01
10
10
11
10
00
01
10
00
00
11
00
00
10
11
00
10
10
00
00
00
10
11
10
01
11
11
00
11
00
11
00
10
00
00
00
11
10
00
01
00
01
00
10
00
00
11
00
01
00
00
00
00
10
11
10
01
00
00
10
10
01
11
01
10
11
00
11
10
00
00
00
00
10
10
10
10
00
00
10
00
01
10
10
00
11
11
10
00
11
00
10
00
00
10
10
00
11
01
10
01
11
10
01
10
00
00
00
10
10
01
01
01
01
10
00
00
00
10
10
00
01
10
01
00
11
10
10
00
10
00
01
01
10
11
10
00
00
11
01
00
11
10
00
01
01
00
10
11
11
10
00
10
00
00
00
00
10
01
10
10
00
10
10
00
10
10
00
01
01
10
11
00
10
11
01
11
10
10
00
11
11
00
00
11
11
10
11
00
00
10
10
10
10
00
00
11
10
10
10
10
00
00
10
11
00
00
10
01
10
11
11
00
10
10
10
01
00
00
10
00
11
10
01
00
01
10
00
00
01
00
10
10
10
00
11
11
10
01
00
01
00
11
10
11
10
00
00
10
00
00
00
11
10
00
01
01
00
10
10
00
10
00
01
10
01
10
10
00
00
10
00
00
11
00
10
00
11
00
11
10
11
10
10
10
10
01
00
10
00
00
10
10
11
00
00
10
00
00
00
10
01
00
01
10
01
10
10
11
01
00
10
10
00
11
10
00
10
11
00
10
00
01
00
00
01
10
10
00
10
10
10
01
10
01
00
01
00
00
00
10
00
00
00
10
10
10
10
10
00
10
00
10
00
11
10
01
00
11
11
10
00
01
11
11
00
00
01
00
10
00
01
11
00
11
00
10
10
10
11
11
10
01
01
00
11
10
11
10
10
00
00
10
10
11
00
11
10
11
11
10
01
00
00
10
00
00
10
10
01
00
00
11
00
00
11
10
11
10
01
00
01
10
10
00
00
10
11
10
00
10
10
10
10
10
10
10
00
00
11
00
00
01
01
01
10
10
00
01
11
11
01
01
00
10
11
00
00
11
10
11
00
01
01
11
00
10
10
00
10
00
01
11
10
00
11
10
00
11
10
10
11
10
01
00
00
10
10
01
10
10
10
10
00
11
00
00
00
01
11
10
01
00
00
01
00
11
00
10
00
10
11
10
00
11
11
11
00
10
01
00
00
01
00
10
10
01
11
00
11
00
00
11
10
01
00
10
10
10
01
01
00
11
11
00
11
10
00
10
11
00
10
10
00
00
10
00
11
00
10
00
00
10
10
10
00
00
00
00
10
10
00
10
00
01
10
00
00
10
10
00
11
01
10
11
10
10
10
11
00
10
10
00
00
10
00
10
01
01
01
10
10
00
10
10
01
01
11
00
11
00
01
00
10
10
01
01
11
10
10
00
10
00
00
00
00
00
01
11
11
00
11
10
10
10
00
10
11
10
01
01
00
01
10
00
00
00
11
11
01
11
00
10
00
00
01
00
10
01
11
10
01
11
01
11
10
01
10
11
00
10
10
11
10
10
11
00
10
10
11
01
10
11
00
10
01
10
10
01
01
11
00
10
11
00
01
00
10
10
00
01
00
00
00
11
10
01
11
11
10
11
00
10
00
00
01
00
01
10
10
11
00
11
10
01
10
00
00
10
01
01
00
10
10
00
00
10
11
01
00
11
01
10
00
11
11
01
10
10
11
10
00
10
10
11
00
00
00
01
10
10
11
00
01
10
11
10
00
10
10
00
01
00
10
10
00
00
01
10
10
10
11
00
10
01
00
00
00
01
00
01
10
11
10
11
00
11
00
00
01
01
10
10
10
10
00
01
00
00
10
10
00
01
10
11
01
01
11
00
01
10
01
00
10
10
00
00
10
11
11
01
00
10
00
01
10
00
00
10
10
10
11
00
01
01
10
11
11
01
10
10
00
11
10
00
00
10
00
01
10
10
00
00
01
11
01
01
00
10
11
11
11
10
00
10
10
00
00
10
11
00
10
10
00
10
01
00
00
10
11
10
10
01
10
00
00
00
10
00
11
10
00
01
11
10
00
00
10
10
01
01
11
10
10
00
00
11
10
01
00
10
10
01
00
00
10
10
10
00
01
11
10
01
01
01
10
00
00
10
00
00
10
10
10
00
01
00
00
11
10
00
00
10
00
01
00
10
10
00
10
11
00
00
10
10
01
00
00
10
10
00
01
01
10
00
01
11
00
00
10
01
00
00
11
10
00
01
10
11
11
11
00
10
10
10
10
00
11
10
10
10
00
10
10
10
00
10
00
11
10
11
10
01
00
10
01
01
10
11
00
01
00
01
00
10
10
00
00
10
01
00
10
11
00
11
10
00
00
10
10
10
00
00
10
11
10
01
00
00
11
11
10
11
10
01
01
00
11
10
00
00
00
10
10
11
00
00
10
11
10
11
10
00
00
00
00
11
00
00
10
01
01
11
01
01
01
10
10
11
11
00
00
00
10
10
00
10
00
10
10
00
10
10
11
01
01
10
10
01
01
00
10
10
01
00
10
10
00
11
01
10
01
01
00
10
11
01
11
01
00
10
00
11
01
10
00
00
10
01
00
10
01
00
10
10
10
00
01
10
00
01
00
11
00
01
10
01
10
01
00
10
01
01
00
10
10
10
01
01
00
00
11
10
11
10
01
10
01
00
11
11
01
10
10
11
00
10
10
00
01
10
00
00
10
11
10
01
00
00
00
00
00
00
00
11
10
01
10
10
10
00
11
11
11
11
10
00
01
11
11
01
00
11
00
00
10
10
00
00
10
10
10
10
00
10
00
00
01
10
01
01
01
10
01
10
00
11
11
00
11
00
00
10
10
10
11
10
00
10
00
10
00
01
10
01
11
10
00
00
11
00
00
10
10
10
01
00
01
10
10
10
10
00
01
10
10
10
10
11
10
10
01
00
10
10
00
00
00
10
00
00
10
10
10
00
10
01
10
10
00
00
10
00
11
10
00
01
00
00
10
00
11
01
01
10
01
11
10
10
01
00
11
01
01
11
10
01
00
11
11
10
01
00
00
10
10
00
00
11
00
10
10
10
00
00
10
01
11
00
10
00
11
11
10
10
00
11
10
01
01
11
01
10
00
00
10
01
01
10
10
00
01
01
10
10
01
01
10
11
00
01
10
10
11
10
01
00
11
10
10
10
01
11
10
10
00
10
11
11
01
10
11
10
00
11
00
01
10
01
01
00
01
10
10
10
10
00
10
00
00
10
01
11
00
00
01
01
00
11
00
10
00
00
11
00
10
10
00
01
00
00
00
00
00
11
11
10
11
00
00
10
10
11
00
01
00
10
00
00
00
11
00
00
10
10
00
11
10
01
00
00
10
10
10
00
10
11
00
10
10
10
10
11
00
11
01
00
10
11
10
00
01
10
01
00
10
00
11
00
11
10
01
01
11
00
10
10
11
11
00
01
11
11
10
11
01
00
00
11
10
11
10
10
00
11
00
10
10
01
10
00
10
10
00
00
10
01
00
00
00
10
00
00
10
01
10
10
11
11
00
10
10
00
01
10
01
10
10
00
10
10
01
00
11
10
00
00
10
11
01
01
10
00
10
10
00
10
11
01
10
01
10
01
01
10
10
01
00
10
00
10
00
01
10
01
10
00
00
01
00
11
11
00
11
10
11
01
00
11
10
10
01
01
10
10
11
00
01
00
00
00
10
10
10
11
00
00
11
01
01
00
10
10
10
01
00
10
10
11
00
10
00
10
11
10
00
00
11
10
00
01
11
00
11
10
11
10
01
01
00
01
10
10
00
00
10
10
10
01
10
10
01
11
10
00
01
10
11
11
00
01
10
00
00
01
10
00
00
10
11
00
10
11
11
00
10
00
01
01
01
10
00
01
10
00
10
10
00
10
10
00
00
00
00
01
11
10
10
00
00
11
10
00
01
11
10
10
01
10
01
01
11
10
11
01
00
00
10
00
01
00
11
10
10
01
00
10
11
00
01
00
00
10
00
10
10
00
00
01
10
10
10
00
10
00
10
00
11
00
10
10
00
11
00
01
00
11
10
10
11
11
00
10
10
01
00
11
11
10
00
10
11
11
00
00
10
10
01
00
11
10
01
10
10
10
01
10
01
01
10
10
10
01
00
01
11
10
10
11
00
00
01
00
00
11
10
10
10
10
10
11
00
00
01
10
01
10
10
00
10
10
10
00
01
01
00
00
10
10
11
00
01
00
10
10
00
11
10
11
00
01
01
01
01
11
10
00
11
10
10
00
01
10
00
11
01
10
10
01
11
00
01
10
10
01
00
00
10
10
01
00
01
10
10
00
00
10
01
00
10
10
10
01
11
01
10
00
10
10
00
00
01
11
10
11
00
10
11
10
01
11
10
00
11
00
00
10
11
00
01
10
11
10
00
10
10
01
01
00
11
10
00
10
10
10
00
10
10
11
10
11
10
00
01
01
00
10
01
10
10
00
00
10
00
00
10
00
01
01
10
00
01
10
10
00
11
00
00
01
00
01
10
01
00
00
00
11
10
00
00
10
10
01
00
00
11
10
01
10
11
10
10
00
00
01
10
00
01
00
10
10
00
00
01
00
10
10
10
10
00
10
00
00
10
00
10
10
10
10
01
00
10
10
01
10
00
00
11
00
01
10
10
00
00
10
11
01
10
10
00
01
10
01
10
11
01
10
00
00
10
10
00
01
11
00
10
11
10
00
01
00
11
10
11
00
11
11
00
11
10
11
10
00
00
11
00
00
00
10
00
11
00
00
10
00
01
10
10
10
10
10
01
10
00
00
01
00
10
11
01
10
11
00
00
11
00
00
10
00
10
10
11
10
01
10
01
10
11
10
01
10
10
10
01
11
10
10
00
00
10
00
01
10
10
10
00
10
11
10
11
10
01
10
10
00
10
00
00
11
11
10
10
01
11
00
10
11
00
10
10
00
11
10
10
00
10
00
00
10
10
10
01
11
10
10
11
10
11
11
10
01
00
10
11
11
00
00
10
10
00
10
11
01
00
00
00
10
11
10
11
10
10
01
00
10
10
11
00
01
00
01
01
10
11
11
11
00
01
10
10
00
00
00
10
11
00
11
01
11
01
00
01
10
00
00
10
00
00
01
10
11
00
01
10
00
00
00
11
11
10
00
11
00
10
00
00
00
01
10
11
10
11
10
00
00
00
10
10
11
01
11
00
00
10
10
11
00
00
10
00
10
11
10
00
00
11
10
10
10
00
01
01
10
11
00
11
00
11
10
01
00
11
11
00
00
01
01
10
00
00
01
10
10
10
11
10
00
00
00
01
00
01
11
10
00
00
11
10
00
10
10
00
11
10
01
00
11
00
00
11
10
10
01
11
01
10
01
01
10
11
01
00
10
00
01
10
10
00
01
10
10
00
10
11
00
10
10
00
01
00
11
00
10
00
00
10
00
01
11
11
00
10
10
10
10
01
00
11
11
01
00
11
10
01
10
10
01
10
11
00
11
11
01
10
10
01
01
11
01
00
11
10
00
00
00
10
10
01
00
01
10
01
00
01
00
11
00
00
00
10
10
00
00
11
10
00
10
10
00
10
01
00
10
00
11
00
00
10
11
00
00
10
00
01
00
00
00
00
00
10
10
11
11
11
10
00
10
11
10
01
00
10
11
01
00
10
01
10
00
00
00
00
00
01
00
00
00
00
00
11
00
10
10
10
11
00
11
00
10
10
00
00
10
00
01
00
01
10
00
11
00
01
10
10
01
00
10
00
10
10
00
00
00
10
10
10
10
10
11
11
11
01
00
11
00
11
00
00
10
10
10
00
01
11
01
00
10
01
10
11
00
01
10
11
00
00
00
11
01
00
10
10
01
11
01
01
01
01
11
00
10
11
00
10
10
01
01
01
00
11
10
00
00
10
11
00
00
11
11
11
10
11
00
00
00
11
10
00
11
10
01
00
00
00
10
01
01
00
11
01
00
00
10
01
11
10
00
10
10
10
10
01
10
00
00
10
10
11
11
10
00
00
00
10
00
01
10
10
11
10
01
00
01
01
10
01
00
10
10
11
00
00
10
10
10
01
01
11
11
00
10
00
00
01
00
10
10
01
00
11
01
00
01
10
01
01
00
01
10
00
10
00
00
00
00
10
10
01
00
10
00
11
00
01
10
10
11
10
00
01
10
10
10
10
00
00
11
01
10
10
10
00
00
01
01
11
10
10
00
01
10
11
01
00
10
10
11
10
11
10
10
00
00
00
11
10
00
00
00
10
00
00
10
11
00
00
11
01
00
10
00
01
01
00
11
10
11
01
01
10
11
01
00
00
00
10
10
10
00
01
10
11
10
01
00
00
01
10
00
00
10
00
00
01
00
00
01
11
10
10
00
00
11
00
01
10
10
10
01
01
01
11
11
10
00
00
00
10
10
10
01
11
10
00
10
10
00
01
00
00
00
11
00
00
10
10
10
10
10
00
10
00
01
00
10
10
10
11
00
10
11
00
00
00
00
10
11
00
10
10
00
00
00
10
01
00
10
00
00
10
00
00
10
00
00
11
11
00
01
00
00
00
01
10
10
01
10
11
00
11
10
01
01
10
10
00
11
10
11
00
01
11
10
10
10
00
10
00
10
11
00
10
00
00
10
10
01
10
10
00
10
01
00
01
10
10
00
00
10
01
01
11
11
10
00
01
10
00
00
10
10
11
10
11
10
00
00
10
00
01
00
10
10
10
11
11
11
00
01
11
01
01
00
11
10
10
00
00
01
11
00
10
00
00
01
00
01
10
11
00
10
10
00
01
11
00
10
10
01
01
10
11
00
10
10
10
00
01
01
10
11
10
10
11
00
10
11
11
01
00
10
10
00
00
10
00
01
10
11
00
10
10
00
10
10
01
10
01
00
10
01
01
00
01
00
10
10
10
10
00
10
10
01
00
01
00
11
00
10
11
00
10
10
10
10
11
00
01
01
01
00
10
01
10
00
00
10
00
00
11
11
01
01
00
10
00
00
10
00
00
01
00
11
10
01
01
01
10
10
10
01
00
10
00
00
00
00
00
10
10
00
10
01
01
00
11
01
10
10
10
10
10
11
01
10
10
00
10
11
11
01
01
00
01
11
01
01
00
10
10
11
01
00
10
11
01
01
01
10
01
11
01
10
01
00
10
00
00
10
11
10
00
00
10
10
01
10
10
11
10
00
10
00
00
00
00
10
01
00
10
01
10
01
10
10
11
10
11
01
11
11
00
10
00
01
11
00
00
11
10
01
00
00
00
00
00
11
11
01
10
00
10
00
00
11
10
00
10
11
11
01
11
10
11
00
11
00
10
10
00
00
10
00
00
00
10
10
10
00
00
10
00
10
00
01
10
01
00
01
00
10
10
00
10
10
10
10
00
00
11
00
00
00
11
11
00
01
11
00
00
01
01
11
00
00
00
10
10
00
00
11
10
00
10
01
00
00
00
00
00
00
10
10
00
00
11
10
11
11
00
00
00
00
10
01
10
10
00
01
00
10
10
10
00
11
11
01
00
00
00
10
00
00
10
10
00
01
00
10
00
00
00
00
11
10
00
00
00
01
11
01
00
10
10
00
00
11
00
11
10
01
00
00
11
10
10
00
00
10
00
11
01
10
00
10
10
10
01
00
01
00
10
00
10
10
01
00
11
10
00
10
10
10
01
01
10
11
10
01
10
11
00
11
10
01
10
10
00
00
00
01
10
10
10
00
01
00
10
10
01
10
11
01
00
10
11
11
01
00
10
10
10
01
00
11
10
00
10
01
10
01
00
10
11
01
10
00
10
10
01
10
10
01
01
00
00
00
11
10
00
10
10
00
01
00
01
10
11
10
00
10
10
01
00
00
00
00
10
00
00
01
11
01
10
11
01
10
00
00
00
10
10
01
10
10
01
01
01
01
10
10
10
01
00
01
11
11
01
00
00
00
00
10
10
00
10
10
01
10
01
00
10
10
10
00
00
11
10
11
11
00
00
10
10
00
10
10
00
10
10
01
10
11
00
10
10
00
10
00
11
11
00
10
01
10
00
00
00
01
10
10
00
10
11
00
01
01
11
10
10
10
00
11
01
01
10
11
00
00
10
01
01
10
00
10
10
00
00
00
10
11
01
00
10
10
00
00
11
10
10
00
11
10
10
00
00
01
01
10
11
00
00
00
01
01
10
11
00
01
00
01
10
01
00
11
10
00
00
11
10
01
11
10
10
10
00
11
01
10
10
00
00
10
01
01
00
00
00
11
00
10
10
10
10
01
10
11
10
11
00
10
11
01
10
10
01
10
01
00
10
00
00
00
10
10
10
01
01
10
00
00
11
00
01
10
00
11
10
01
10
10
11
01
10
10
10
00
00
00
00
10
10
00
00
00
10
00
11
10
10
10
00
00
10
10
00
10
10
01
00
00
10
00
00
00
00
10
10
01
10
11
01
11
01
00
10
01
11
10
10
01
01
00
10
00
10
11
10
10
00
00
00
00
10
00
00
10
10
10
00
00
11
01
10
00
00
01
10
10
00
11
10
11
11
00
00
01
00
11
10
00
00
01
10
11
10
10
00
00
10
10
00
00
00
11
10
00
00
00
10
10
11
00
00
10
00
00
01
11
01
01
10
10
11
01
10
01
00
10
10
10
01
00
11
10
10
11
01
10
01
10
10
10
10
00
00
01
11
00
01
10
01
00
01
10
10
11
01
10
10
10
01
00
11
10
00
11
10
10
11
10
00
10
00
10
00
01
10
11
10
11
11
01
10
00
01
10
10
01
01
11
11
10
10
01
10
11
00
00
10
00
01
01
00
10
01
00
01
11
11
00
11
00
10
10
01
00
10
00
00
10
00
10
10
00
11
00
11
10
00
00
10
00
10
00
01
00
11
00
01
11
11
00
00
10
10
10
01
01
10
10
10
10
01
00
10
00
00
00
10
11
00
10
10
10
00
10
00
00
11
01
11
00
01
10
00
10
10
00
10
01
00
10
01
00
10
10
10
11
10
00
01
11
00
01
00
10
10
00
00
10
01
10
10
10
10
01
00
01
10
11
00
10
01
10
10
11
00
01
10
01
10
00
00
10
11
01
01
01
00
01
10
10
00
00
01
10
01
00
01
00
00
00
10
00
11
01
00
10
00
10
10
01
11
00
10
10
01
11
01
10
00
10
00
00
01
00
11
10
01
10
11
00
10
00
00
01
11
10
00
10
10
10
11
00
10
10
11
10
11
10
00
10
01
00
11
00
00
10
10
11
01
10
11
00
01
10
10
10
00
00
11
00
00
10
01
00
00
10
10
00
11
11
00
00
01
10
11
01
00
00
10
11
00
10
10
00
11
10
01
10
00
01
01
11
00
00
01
00
10
01
10
10
11
10
10
11
01
00
10
10
00
00
00
01
10
00
00
10
10
11
01
00
00
10
11
11
00
00
01
10
01
10
10
00
00
10
10
01
10
00
01
10
00
00
00
10
00
00
10
10
10
00
10
10
00
00
10
10
10
11
10
10
10
00
10
11
00
10
10
10
01
10
10
10
10
00
10
01
11
00
00
10
11
11
10
00
00
00
01
01
10
10
10
01
10
10
10
00
01
10
10
00
10
00
10
10
10
10
11
00
01
10
00
11
10
01
01
00
11
00
11
11
10
01
00
11
10
01
00
00
11
10
00
10
11
00
01
10
10
00
01
00
10
00
00
01
01
01
01
00
10
01
00
10
01
00
11
00
00
10
11
00
00
00
10
00
00
00
11
11
10
11
00
00
11
01
00
10
11
00
11
11
10
10
10
10
00
01
10
10
11
10
10
00
11
00
10
10
01
10
10
10
10
11
01
10
11
01
10
10
10
00
00
10
10
00
01
10
01
10
11
00
10
11
10
10
11
10
00
01
00
00
11
11
00
10
10
11
11
00
10
01
01
00
00
10
00
10
00
00
00
10
10
00
10
10
00
00
01
11
01
01
00
10
00
00
10
10
00
00
10
11
11
10
00
00
00
11
00
01
10
00
01
01
10
10
01
00
10
10
10
01
10
01
01
10
11
01
00
10
10
01
10
11
01
00
00
00
11
00
00
10
00
01
10
00
01
10
11
01
10
00
10
01
10
00
00
00
10
11
01
11
01
01
00
01
10
00
10
10
00
00
00
11
01
01
10
11
00
11
00
00
10
10
00
01
11
00
10
00
00
11
00
11
10
10
10
10
00
11
00
01
10
11
01
10
11
10
01
00
00
10
00
00
10
00
00
10
00
00
00
10
11
00
10
01
10
01
01
00
10
11
00
00
10
11
00
10
10
00
10
10
10
00
01
11
10
01
11
10
11
00
00
01
11
10
11
01
00
11
11
01
10
00
00
10
00
10
00
10
10
00
01
01
11
00
10
10
01
10
11
10
11
10
00
00
01
01
11
00
00
00
11
10
01
00
01
11
11
11
10
00
10
11
01
10
10
11
00
00
11
00
00
01
11
00
01
11
10
01
00
11
01
10
01
00
10
01
00
10
11
11
00
01
00
00
00
10
10
10
00
00
10
00
10
10
00
11
10
01
00
11
10
00
00
00
10
11
11
10
10
00
01
00
11
10
10
00
10
01
00
00
00
11
10
00
10
11
00
11
01
10
10
01
10
01
01
10
01
00
10
00
11
10
11
01
01
01
10
10
00
00
10
01
00
00
10
11
00
00
01
11
00
11
10
00
01
00
10
10
10
00
10
00
01
01
00
10
10
10
00
00
10
10
00
00
11
10
10
00
10
10
11
10
00
00
11
10
10
01
00
11
11
00
00
10
01
10
00
00
00
10
10
10
10
00
01
10
10
00
00
10
10
10
01
00
00
00
10
00
10
11
00
11
00
11
00
11
10
10
10
00
00
10
00
01
10
11
01
10
01
11
00
10
11
00
11
11
10
00
10
01
10
11
01
00
11
00
10
00
10
10
10
10
00
00
00
01
10
00
11
01
01
10
01
00
01
00
01
00
10
10
00
10
00
01
10
10
10
10
00
00
10
00
11
10
00
00
10
11
00
10
10
10
10
01
10
00
11
10
10
11
00
10
11
00
00
10
00
00
00
10
10
00
01
11
10
00
10
10
11
10
01
11
00
10
10
10
11
10
10
11
10
01
11
10
11
10
01
00
01
01
00
10
00
10
00
00
11
01
11
10
00
00
10
10
01
10
10
00
10
10
00
00
10
10
00
01
11
11
00
00
10
11
10
10
00
00
01
00
10
11
01
10
00
00
00
01
10
10
11
01
01
00
10
11
01
00
00
00
01
11
00
01
10
01
10
00
10
00
01
00
00
10
11
11
11
10
01
10
10
01
00
00
10
11
00
00
11
10
00
10
01
11
10
10
00
01
00
10
11
00
11
00
11
11
00
11
01
00
01
00
10
00
11
10
00
00
10
00
11
00
00
01
00
00
11
00
10
00
10
01
00
11
10
11
00
00
11
00
11
11
10
00
10
01
00
00
10
00
00
11
00
10
00
00
10
11
10
00
00
00
11
11
10
11
10
10
00
00
11
10
00
10
00
01
10
11
01
11
11
00
00
10
00
10
00
00
11
10
00
10
10
11
10
00
00
01
01
10
11
00
00
00
01
10
10
00
10
11
00
10
00
01
01
10
11
00
10
10
00
00
10
11
10
11
11
10
10
10
00
10
10
01
00
10
11
10
11
00
01
10
00
00
10
01
00
10
10
01
00
10
01
10
01
00
11
00
11
10
00
00
00
00
10
10
01
00
10
01
00
10
01
00
11
11
11
01
10
01
10
10
00
10
10
10
10
00
10
10
00
00
00
00
10
00
00
11
10
00
01
00
00
00
10
10
10
11
00
11
10
10
10
10
00
00
10
10
00
01
11
10
00
01
10
00
10
11
00
10
11
01
10
10
01
01
11
10
11
00
00
00
11
10
01
10
11
10
00
00
10
00
00
00
11
10
00
00
00
11
01
01
00
00
10
10
10
11
01
00
10
01
00
11
00
00
11
11
00
00
10
01
00
10
00
10
11
00
11
10
11
00
01
10
10
01
00
10
10
10
00
10
10
00
10
11
10
11
00
11
10
01
00
10
10
00
01
10
00
01
10
10
01
11
00
00
11
10
10
00
00
10
10
00
00
01
10
10
00
10
01
01
00
10
11
10
10
11
00
10
11
00
00
00
11
10
00
00
10
00
01
10
10
10
00
00
01
00
00
01
10
10
10
00
00
10
10
10
10
00
00
10
01
00
00
00
01
11
00
11
11
01
00
01
11
10
11
11
10
10
01
00
01
11
10
11
10
10
01
00
10
11
10
10
00
01
10
01
00
00
00
00
10
01
01
10
11
01
10
01
11
00
00
10
10
00
11
10
01
00
10
01
10
00
11
00
10
10
01
10
10
00
01
00
10
10
01
00
10
10
11
11
00
00
10
11
10
10
00
01
10
10
10
10
00
00
10
10
01
10
11
11
10
00
11
01
10
10
00
00
00
10
00
10
10
11
11
10
10
11
00
00
10
10
00
00
10
00
01
11
11
10
01
00
01
01
11
00
00
10
10
00
00
10
10
00
10
01
11
01
10
00
10
00
00
10
11
00
01
11
00
11
10
00
01
00
11
00
01
10
11
11
01
10
11
00
00
11
11
10
10
00
00
10
11
11
01
00
10
10
00
00
10
01
00
00
11
00
00
11
10
00
11
10
00
11
00
10
10
10
01
10
11
00
10
10
10
01
11
01
00
10
10
10
00
10
01
10
11
00
11
11
00
01
00
00
10
00
00
01
10
10
00
00
11
10
00
10
10
11
10
00
00
01
11
01
11
10
01
11
01
10
10
01
00
11
11
11
10
00
00
10
00
00
00
10
10
11
10
10
10
00
11
00
01
10
01
01
10
01
10
10
00
00
01
11
00
01
00
00
00
01
11
01
10
01
00
01
10
00
01
10
11
00
00
11
00
10
01
01
11
01
10
10
10
10
10
01
00
01
11
10
11
00
00
10
10
11
10
10
00
00
10
11
11
10
00
10
10
10
00
11
00
00
10
01
00
00
10
10
10
01
01
00
00
00
11
00
00
10
10
10
10
10
10
10
11
00
00
00
10
10
00
00
01
10
10
00
00
00
10
11
10
10
00
01
10
00
00
11
10
10
11
00
00
01
00
10
00
10
10
00
00
10
00
00
01
10
00
10
10
11
00
00
01
00
11
11
10
00
10
10
11
00
01
11
11
00
11
00
01
00
00
10
11
00
00
00
11
01
11
11
00
01
11
10
00
01
10
10
10
00
01
00
11
00
00
00
10
00
10
10
00
00
01
00
11
01
00
00
10
00
10
10
01
01
01
00
01
10
01
10
10
01
00
10
10
11
11
00
00
01
01
10
10
00
01
00
00
10
10
10
00
01
00
00
01
01
10
10
10
00
11
10
00
10
00
11
00
10
11
00
11
10
10
10
10
00
00
10
10
00
01
11
00
10
10
00
11
10
11
01
00
00
01
00
00
01
11
10
00
00
00
10
00
00
10
11
00
01
10
10
10
10
11
10
00
10
11
01
01
00
00
00
11
11
01
00
01
10
01
00
10
10
10
00
11
00
00
01
10
11
00
00
10
11
10
10
10
10
00
01
01
00
01
11
00
00
10
11
00
00
10
10
10
10
00
10
10
00
00
00
11
11
10
00
10
10
01
11
10
00
10
10
00
01
01
10
10
00
10
01
01
00
11
11
00
00
00
10
11
00
00
01
00
10
10
00
01
10
10
00
11
11
10
00
00
11
11
11
10
11
00
00
10
00
10
10
01
00
10
10
00
10
11
10
10
00
00
00
11
10
00
00
10
10
10
01
01
01
11
11
00
00
10
01
01
00
10
10
10
00
10
11
00
01
10
00
11
00
00
11
11
00
00
01
01
11
00
00
11
10
00
00
10
10
10
00
10
00
00
01
11
00
00
00
10
01
10
11
00
00
00
10
01
01
10
11
01
00
00
00
00
01
01
10
10
10
00
01
01
10
10
11
00
11
00
10
10
10
11
00
11
10
00
00
10
00
00
01
10
10
10
01
00
10
10
00
00
10
10
01
01
00
11
10
01
01
01
00
10
11
10
00
00
10
01
00
11
10
11
00
10
01
01
11
10
10
00
00
10
01
11
10
00
01
11
00
11
01
10
10
01
00
11
10
01
00
00
11
10
00
01
00
11
10
00
00
10
10
00
01
00
10
00
11
10
00
10
10
00
10
01
00
01
10
00
10
00
01
01
00
10
10
11
10
01
00
00
11
10
11
00
00
10
10
11
01
00
10
11
01
10
10
01
00
10
10
00
10
01
10
10
10
10
01
00
00
11
00
10
10
10
01
11
11
10
10
01
00
10
01
00
10
00
00
10
10
00
00
10
10
10
00
01
01
01
10
10
11
01
11
11
10
01
00
01
00
01
10
10
00
00
10
10
01
00
10
10
11
10
10
10
00
11
10
10
10
11
10
00
10
00
00
10
00
00
10
10
11
00
11
10
11
01
00
11
10
10
00
11
10
10
11
00
00
10
10
10
10
00
10
01
10
01
00
11
10
00
00
10
00
00
00
10
10
00
10
10
01
10
10
00
00
00
10
10
01
01
10
10
01
01
01
11
11
00
00
00
10
00
00
10
10
00
10
10
01
00
01
10
11
10
00
10
10
00
00
11
11
01
00
11
10
00
01
01
10
10
10
01
10
10
00
11
11
00
11
10
10
10
01
10
01
00
10
10
11
01
10
01
00
01
00
10
00
00
10
10
00
00
00
10
00
10
01
00
00
10
10
11
01
00
11
10
01
10
00
01
11
01
00
10
11
10
10
10
11
01
00
01
11
01
11
00
00
00
00
11
11
10
00
00
10
01
00
11
00
10
10
01
10
10
10
00
11
10
01
01
11
11
10
01
00
00
00
10
11
00
10
10
01
00
00
00
11
01
11
00
01
00
00
00
11
10
00
00
00
01
11
00
01
10
10
10
11
00
00
11
10
00
00
00
10
01
00
01
10
00
11
10
11
01
00
10
00
10
10
00
01
00
10
10
00
10
11
00
00
10
11
11
10
11
00
00
10
10
11
10
00
00
11
10
11
10
01
00
10
00
11
00
01
11
00
11
11
00
00
10
10
10
11
00
10
10
00
01
00
11
10
11
10
00
00
10
11
00
10
10
10
00
10
00
00
10
11
00
10
00
00
11
10
00
00
01
10
10
10
00
10
00
11
00
01
00
01
10
00
00
10
00
00
00
10
10
00
01
10
01
01
00
11
00
10
00
11
11
00
10
00
10
00
10
10
01
01
11
11
01
00
00
01
11
01
00
00
10
11
00
01
10
10
00
00
10
00
10
11
00
00
10
00
00
11
10
10
01
10
00
10
10
10
01
00
10
01
00
00
10
11
00
00
10
11
00
10
10
00
10
11
10
01
11
01
01
00
10
00
00
01
00
10
11
00
11
00
01
10
01
11
10
01
10
10
10
00
01
11
11
01
01
00
11
10
00
10
10
01
01
01
11
10
00
00
01
00
01
10
11
10
11
00
00
00
10
10
10
10
00
11
10
00
10
01
01
11
00
01
10
01
01
01
10
10
01
00
00
10
10
00
00
10
10
10
11
00
11
00
00
10
11
01
11
00
10
10
10
00
10
11
01
00
10
00
11
00
10
10
00
00
10
11
00
00
10
10
11
10
00
01
01
01
01
10
01
11
00
10
00
00
10
10
00
01
10
00
10
10
10
00
11
10
10
01
01
00
00
10
01
11
11
00
00
01
10
11
11
11
00
01
00
11
11
00
00
10
11
10
10
00
10
01
00
00
10
10
01
00
00
10
10
11
00
00
00
01
01
01
00
10
10
00
01
10
01
01
01
01
11
11
01
11
10
11
10
01
11
00
00
10
01
00
10
10
01
11
10
10
10
10
10
00
01
11
01
10
10
11
11
01
10
00
00
10
10
00
10
11
00
11
10
01
01
11
10
01
00
10
00
00
00
10
11
10
00
00
00
11
10
00
10
10
00
10
01
01
01
10
00
11
10
01
00
11
11
00
10
00
01
10
10
01
00
11
10
01
00
11
11
10
01
00
10
00
01
11
00
10
10
11
00
00
00
10
00
10
00
00
10
00
00
00
00
10
10
10
10
10
10
01
01
01
11
00
10
00
01
10
00
01
10
11
10
11
10
01
10
01
00
10
10
11
00
01
10
10
01
01
00
00
10
10
11
00
00
00
10
10
10
00
00
11
10
01
00
01
10
00
01
00
10
01
00
10
10
10
11
11
01
11
10
00
10
00
11
00
00
10
01
01
01
00
11
10
11
00
01
10
00
01
10
00
10
00
10
00
00
00
10
10
00
10
01
00
10
10
01
00
01
10
11
10
00
10
11
01
00
01
01
11
10
10
01
10
11
00
10
00
00
01
10
01
00
00
10
11
01
01
11
10
10
00
00
10
10
00
00
10
01
10
10
00
10
00
11
01
10
11
10
00
00
10
10
11
00
00
10
10
10
01
10
00
01
01
10
10
01
00
00
10
10
11
00
00
10
10
11
01
10
00
00
10
01
10
10
10
01
00
00
11
11
00
01
01
00
00
11
01
01
11
11
10
00
11
00
01
10
10
00
01
10
01
10
01
11
00
10
10
00
00
10
11
00
00
11
11
10
10
10
01
10
00
00
00
10
10
00
00
01
11
10
00
00
10
11
11
10
11
00
01
11
11
00
00
10
00
10
10
00
10
00
10
00
00
11
01
00
01
00
11
10
01
01
10
10
00
11
11
10
00
10
01
01
00
10
10
01
00
10
10
00
00
00
11
11
00
00
01
01
00
01
11
01
00
11
00
00
00
10
10
10
00
00
11
00
00
11
00
00
00
00
00
00
00
10
10
10
00
00
00
00
10
10
01
00
10
11
00
10
10
00
01
11
00
10
00
11
11
10
10
00
10
10
10
10
01
00
01
01
00
00
10
11
00
00
10
11
00
00
10
00
10
01
00
10
11
00
11
00
11
10
10
10
00
10
10
00
01
11
00
10
00
10
01
00
10
00
00
01
10
11
10
10
11
01
00
01
01
10
10
00
00
11
10
00
11
10
00
00
10
00
00
01
01
00
10
10
00
10
10
00
10
00
10
10
01
01
10
00
10
10
00
10
00
11
00
11
10
01
00
10
00
00
10
11
10
00
10
10
10
10
01
11
10
01
10
11
11
00
00
10
10
11
00
01
00
10
11
11
10
01
00
10
01
01
11
10
10
00
00
11
00
10
11
00
11
01
00
11
10
00
01
11
10
00
10
10
00
10
00
00
00
10
10
10
01
00
11
00
11
01
00
11
11
10
00
11
00
10
00
00
10
00
10
00
00
10
10
00
10
10
00
00
10
10
00
10
11
00
10
00
10
10
00
10
11
10
00
11
10
00
00
00
11
10
00
01
10
00
01
10
10
00
00
00
11
10
00
10
10
01
10
00
10
00
00
01
10
01
01
00
11
00
00
01
01
01
11
11
01
10
10
00
10
10
00
00
11
10
00
00
00
10
00
01
10
11
11
10
01
11
01
11
01
00
10
10
10
01
00
01
01
01
11
10
10
10
01
01
00
00
00
10
01
11
10
10
11
00
11
00
00
10
10
10
00
01
00
10
10
01
10
11
10
00
01
10
00
01
11
10
10
00
00
01
00
00
10
00
10
10
11
10
01
10
10
01
10
10
00
00
00
00
00
10
10
00
01
10
01
10
10
11
10
10
01
10
10
01
10
01
01
10
00
10
11
00
10
01
10
00
00
11
01
00
11
11
00
10
00
10
01
01
10
11
10
00
00
10
00
00
00
11
00
00
00
10
10
01
10
11
10
01
01
11
10
00
10
10
10
11
00
01
11
00
11
10
00
11
10
01
00
01
01
10
00
00
00
10
11
00
11
11
00
10
00
11
11
11
00
10
10
00
00
00
00
10
01
10
10
10
00
00
10
00
00
10
00
01
00
00
01
00
10
01
01
10
11
10
01
01
10
00
10
00
01
10
11
10
01
10
00
01
00
10
10
10
00
11
00
00
01
01
00
00
00
00
10
01
10
10
00
00
10
11
00
11
11
10
01
00
10
10
00
01
10
01
01
00
10
01
00
11
11
00
01
00
10
10
00
00
10
10
01
10
10
00
01
11
10
00
01
00
10
10
00
11
10
10
10
11
00
00
01
11
11
10
01
10
10
00
00
10
00
10
11
11
00
10
10
01
11
00
11
00
01
10
10
10
00
00
10
00
00
01
10
11
00
00
10
10
00
00
10
01
10
00
00
10
10
11
01
10
10
11
10
10
00
00
00
10
00
10
10
00
00
10
10
00
01
01
10
00
10
11
11
10
10
00
01
00
11
00
00
10
00
10
00
10
10
00
01
11
01
11
11
10
00
01
00
10
11
10
10
00
10
00
00
00
10
11
00
11
11
00
00
00
10
10
10
00
00
11
10
00
11
10
11
01
00
01
00
10
10
11
00
11
10
01
00
10
11
01
00
10
10
01
10
01
01
10
10
00
00
11
10
00
00
10
10
11
00
01
01
10
10
00
00
10
11
00
00
00
00
10
10
11
00
11
10
00
10
00
00
01
00
10
01
11
01
01
01
00
11
10
00
00
10
10
00
01
01
00
11
00
01
00
10
11
10
00
01
11
10
00
10
10
01
00
10
10
01
00
00
11
10
11
00
10
11
10
10
00
00
00
00
10
10
10
01
01
00
10
11
10
00
00
10
11
01
00
10
00
00
10
01
10
10
00
11
11
01
00
10
11
10
11
10
10
01
00
11
00
01
10
10
00
10
01
00
00
11
11
00
00
11
10
10
11
00
11
00
00
10
01
10
11
10
00
00
10
00
10
10
11
00
10
10
11
01
00
11
00
10
10
01
11
01
11
01
11
11
00
11
00
10
10
01
01
10
10
01
00
00
11
11
11
01
10
00
00
10
11
00
01
11
01
01
11
10
11
01
11
01
10
11
00
10
10
01
00
11
10
10
00
10
01
01
00
10
01
00
00
10
00
00
10
10
10
10
00
01
10
10
00
11
00
11
10
00
01
00
00
10
10
00
10
10
11
10
00
01
10
00
01
00
10
01
00
10
10
10
00
10
10
11
10
01
00
01
10
11
10
11
11
00
01
01
00
11
00
01
10
10
00
11
11
00
11
10
10
00
00
00
00
11
10
00
10
10
10
00
00
10
10
11
01
00
01
10
11
11
10
10
11
00
00
11
10
10
01
10
01
11
11
01
11
01
01
00
10
00
01
10
10
11
10
01
00
00
01
10
11
10
10
00
10
10
00
01
10
10
00
00
11
01
00
01
00
10
00
00
00
10
00
01
00
10
01
11
00
01
00
10
10
11
00
11
10
00
10
01
00
11
01
01
10
00
11
10
10
00
00
00
00
10
01
10
10
01
10
00
11
10
00
10
10
01
11
10
01
11
00
00
00
00
00
00
10
10
10
00
01
00
10
11
10
10
00
01
11
10
00
01
00
00
11
11
10
11
00
00
00
01
10
10
01
00
01
11
10
00
10
00
10
00
01
11
11
11
01
11
00
10
11
11
00
10
01
01
01
01
10
10
00
01
00
00
11
11
10
11
01
11
00
00
00
00
00
11
10
00
11
00
00
01
10
00
10
10
10
10
00
00
01
10
01
10
11
11
00
01
00
00
11
01
01
10
11
00
11
01
10
01
00
00
11
00
11
00
10
10
00
11
01
01
11
10
00
00
01
01
10
11
00
11
10
00
10
00
01
11
10
11
00
00
00
10
00
11
10
00
01
10
11
01
10
10
01
00
10
10
01
10
11
10
00
10
10
00
10
00
01
01
11
11
11
10
10
01
10
11
10
10
00
11
10
01
10
11
10
00
10
00
01
01
10
10
00
10
10
10
00
11
00
00
11
10
00
01
10
10
00
11
00
00
00
01
10
10
11
11
11
00
10
10
10
00
00
10
10
00
10
10
01
10
00
10
00
01
11
00
10
10
10
11
10
00
00
11
00
00
11
10
00
00
10
11
01
10
10
01
10
00
01
00
10
10
00
00
00
10
10
10
11
10
00
00
11
11
10
10
01
00
00
10
10
10
10
10
00
00
10
10
00
00
11
00
01
00
01
11
01
01
10
11
00
01
11
00
10
10
00
10
10
00
01
00
10
00
00
00
10
10
00
10
01
11
00
01
00
10
11
11
11
10
01
00
01
01
00
01
10
00
00
10
01
01
11
10
00
01
11
10
10
10
00
10
10
10
01
00
10
00
10
10
10
01
10
10
00
10
10
00
11
00
01
10
00
11
10
00
00
00
00
01
10
10
11
11
00
11
00
00
00
11
00
01
00
10
00
00
01
01
00
10
10
10
11
10
10
01
00
10
10
01
00
00
10
10
10
11
10
00
10
10
00
00
00
11
00
00
10
11
01
11
00
10
10
01
11
10
00
01
00
01
01
10
10
10
00
10
10
00
00
11
10
11
01
10
00
10
10
10
00
00
10
11
00
01
10
11
11
01
11
10
00
00
00
10
10
00
01
00
00
10
00
11
01
01
11
01
00
10
00
10
00
00
00
11
11
00
11
10
00
10
10
01
01
10
10
00
10
10
00
10
01
10
10
01
00
00
00
10
11
00
00
10
01
00
10
10
00
00
00
00
11
10
10
10
11
00
10
11
10
01
00
00
00
10
11
01
00
10
11
01
11
11
11
00
11
00
00
11
10
10
00
01
10
10
11
01
00
00
01
10
11
10
00
11
01
00
01
11
10
00
00
00
10
11
00
00
00
10
11
10
01
00
10
10
10
01
00
10
10
10
00
01
10
10
11
10
11
10
11
11
10
10
10
10
00
00
11
10
11
11
00
11
10
11
11
11
00
00
00
11
10
00
11
10
00
00
10
10
00
11
01
00
00
11
10
01
00
01
11
10
11
01
01
01
11
10
11
10
01
00
00
11
01
11
01
00
10
10
00
00
01
00
10
10
11
01
10
00
11
11
01
11
00
00
11
10
00
00
11
00
00
11
10
10
00
10
01
11
01
01
00
10
00
00
11
00
10
11
00
00
01
10
10
10
10
10
01
10
10
01
11
01
10
11
11
00
00
10
10
01
00
11
00
10
10
00
00
10
11
00
10
00
00
01
11
00
01
11
00
11
01
00
00
10
10
11
10
00
10
10
00
11
10
00
11
00
00
11
00
01
00
10
11
10
10
00
00
10
11
01
00
10
00
10
01
00
10
10
00
10
00
10
00
01
11
01
00
00
10
00
01
11
10
01
00
00
10
10
00
01
00
10
10
00
10
00
00
11
11
01
01
00
10
10
10
10
01
10
00
01
10
00
11
00
11
11
00
00
00
10
10
11
01
00
00
01
11
00
00
10
10
10
00
00
10
01
01
00
00
11
10
00
00
10
00
00
10
00
10
01
10
11
10
10
10
00
00
10
00
00
00
10
11
00
10
10
10
11
10
00
00
00
00
11
11
00
00
10
00
10
00
10
10
01
01
11
10
00
01
00
10
10
10
00
00
11
00
00
00
01
11
11
10
11
00
00
00
10
11
10
10
00
00
00
00
10
11
00
01
10
00
10
10
11
11
10
00
00
00
11
00
00
11
00
11
10
11
10
10
10
01
01
10
11
10
01
10
00
00
00
10
00
01
11
00
00
00
10
10
01
11
10
10
10
11
00
10
01
10
10
00
00
10
00
10
00
00
10
10
00
01
00
10
01
00
00
10
00
00
00
10
00
10
11
10
00
11
11
01
00
01
11
10
10
00
00
10
00
10
01
00
11
11
10
11
10
00
10
00
10
11
01
00
11
10
10
00
00
11
10
10
01
11
10
01
10
01
00
10
10
00
00
01
00
11
11
01
00
10
11
00
11
10
00
01
10
10
10
01
00
01
10
10
00
00
00
10
11
01
00
10
00
01
00
00
10
10
10
10
00
00
11
10
01
00
00
10
10
00
11
01
00
01
10
00
00
00
10
11
01
11
01
00
00
01
10
00
10
10
10
01
01
11
10
00
10
00
01
10
00
10
00
01
01
01
10
00
00
11
00
10
11
00
10
10
10
00
01
10
00
10
10
11
10
00
11
01
01
00
10
10
10
00
11
01
01
00
01
10
11
10
11
01
11
00
00
01
11
00
10
10
11
11
10
11
10
11
01
10
00
00
11
10
10
00
10
00
10
10
01
00
01
10
01
00
01
10
10
11
00
11
10
00
00
00
01
00
10
10
00
01
00
11
10
00
00
10
01
00
11
10
11
10
10
00
01
11
10
00
00
10
01
11
10
00
10
10
01
10
10
10
00
10
00
01
10
11
11
00
01
10
01
10
10
01
10
11
01
00
01
10
11
10
11
01
01
10
10
10
11
00
00
01
10
10
10
10
01
10
11
10
10
00
00
01
11
10
01
10
10
00
11
00
00
11
10
00
10
10
00
00
10
11
11
01
11
00
00
00
01
11
00
01
10
01
01
01
00
00
00
10
00
00
11
10
00
00
10
11
10
00
00
10
01
00
11
01
01
10
10
10
00
00
00
10
11
11
10
10
01
00
00
01
11
10
01
01
00
10
00
10
00
10
10
01
00
00
10
00
10
10
00
10
11
00
00
00
11
00
01
01
10
01
10
11
10
10
01
10
10
00
01
11
10
00
00
11
11
10
00
11
00
01
10
00
10
10
11
00
10
11
11
11
10
10
00
10
10
11
10
00
00
10
10
00
00
01
10
11
01
00
10
00
10
00
10
00
00
01
10
10
10
00
00
00
00
00
01
00
01
10
10
00
11
10
10
01
01
00
11
00
11
00
01
10
11
10
00
00
01
11
10
00
00
10
10
00
01
10
00
00
10
01
00
11
11
00
11
11
01
00
01
00
11
00
00
10
01
00
11
10
00
11
10
01
00
10
10
11
00
00
10
00
00
10
10
00
10
10
10
01
10
11
00
10
11
10
01
01
11
10
10
00
11
11
11
00
00
10
00
11
00
00
10
00
01
10
10
11
00
01
11
11
10
01
10
01
00
11
10
01
11
10
00
00
00
10
11
00
00
10
00
11
10
11
00
11
11
11
10
01
10
01
11
10
10
00
10
10
00
11
10
01
10
11
10
11
00
10
00
00
11
10
01
10
01
00
10
11
11
00
10
11
00
11
10
00
11
11
01
01
01
11
11
11
01
00
10
10
00
00
10
11
00
00
10
00
10
00
00
00
01
11
11
11
00
00
10
00
10
10
11
00
00
10
10
01
00
00
01
11
01
00
01
10
11
10
00
00
10
11
01
00
11
00
10
00
10
10
00
10
01
00
11
00
11
10
10
10
00
00
10
10
01
11
11
00
10
11
11
01
10
10
10
10
11
11
01
01
11
01
00
10
10
11
01
00
10
11
11
11
00
01
00
00
10
10
11
00
00
10
11
00
01
00
00
00
10
11
10
11
00
10
10
00
00
10
10
00
00
00
10
10
00
10
11
10
10
10
00
11
11
10
00
10
10
00
00
01
10
00
10
10
11
00
00
00
10
00
10
01
10
11
00
00
10
10
00
00
10
01
10
01
10
01
10
10
11
00
01
11
10
01
00
00
10
10
00
01
00
10
00
00
00
01
10
01
11
10
11
11
11
11
01
00
00
11
10
01
00
10
10
10
00
01
10
11
10
11
00
00
11
00
10
11
10
01
10
10
01
10
01
00
00
10
10
00
00
01
10
10
01
00
01
11
00
00
10
00
10
01
00
10
01
00
00
10
00
10
10
00
00
00
11
01
11
00
10
11
10
00
10
11
00
10
10
11
00
10
11
11
10
01
10
10
10
00
00
00
11
01
01
10
10
01
01
11
11
01
01
00
00
01
00
10
10
11
10
01
00
00
11
00
00
00
11
10
00
11
10
01
10
01
00
01
11
11
01
10
11
00
10
10
00
01
11
10
01
00
01
10
01
11
11
11
01
01
11
10
00
10
11
00
01
10
10
00
00
00
11
10
00
10
01
10
01
11
00
00
00
10
11
00
01
10
01
00
00
10
10
00
00
10
00
10
10
00
10
00
00
11
01
10
10
10
01
01
00
11
10
00
10
00
01
01
10
00
00
10
11
00
11
10
00
01
00
11
00
00
10
10
10
11
00
11
00
01
00
10
01
01
00
11
10
10
00
10
00
01
01
10
00
00
01
00
10
10
10
10
00
01
01
00
00
00
10
10
01
01
11
00
10
10
01
10
00
10
00
01
10
01
00
10
10
10
00
10
01
01
10
11
11
10
00
10
00
01
01
10
11
10
10
10
10
00
00
10
11
10
00
01
01
11
10
00
00
10
10
00
10
10
00
10
11
00
10
10
00
10
00
01
11
00
01
00
01
00
10
11
00
10
11
10
11
11
11
00
00
11
01
11
11
10
01
00
11
10
10
00
11
01
00
10
10
01
10
01
00
01
00
01
00
10
10
00
00
10
00
00
00
10
00
00
10
00
10
10
01
11
11
11
01
00
00
00
00
00
00
01
10
10
11
10
01
01
01
01
10
10
10
10
01
01
00
10
00
10
10
00
00
10
11
01
11
11
01
01
11
00
00
01
11
00
00
10
10
11
01
00
00
11
00
00
10
00
11
00
10
00
01
10
10
00
11
00
00
11
00
01
00
10
00
11
00
01
10
10
10
10
11
01
01
01
00
00
10
01
01
10
10
01
10
11
00
10
01
10
01
00
11
10
10
10
00
00
01
00
11
11
11
10
11
01
10
10
01
10
00
11
10
00
10
10
10
10
00
10
10
01
10
11
00
10
01
01
00
10
10
10
01
10
00
01
10
11
10
00
00
00
10
10
00
00
10
00
01
01
11
10
00
01
10
10
00
10
10
00
01
00
10
00
00
01
00
00
00
10
00
10
10
00
01
01
00
10
10
01
00
11
10
10
10
10
00
01
10
01
01
00
00
10
11
00
11
10
10
00
10
10
00
00
10
00
10
10
00
10
00
11
10
00
10
11
00
01
10
01
10
00
00
01
10
10
01
10
11
10
11
00
10
10
10
01
01
00
11
10
01
00
00
10
00
11
00
00
00
01
00
00
01
10
01
00
01
10
11
01
01
11
10
10
10
01
01
10
10
00
00
00
00
00
10
10
11
11
10
00
00
11
11
10
01
10
01
10
10
00
10
10
00
10
01
00
01
10
10
10
00
00
10
10
00
01
10
00
11
00
01
11
00
11
00
10
10
00
00
00
10
01
11
10
01
10
11
00
01
10
10
01
01
00
10
11
10
00
00
10
11
10
00
00
01
00
10
10
01
11
10
11
00
00
11
10
01
00
10
10
00
00
10
00
01
10
10
00
10
11
00
00
11
10
01
10
00
11
10
00
10
00
11
00
10
00
00
00
10
11
01
01
10
00
10
00
01
00
10
00
00
10
01
00
01
01
01
01
11
00
11
00
10
11
11
10
00
00
01
01
10
10
10
10
01
00
00
00
11
01
01
10
10
00
01
01
11
01
01
01
11
10
00
11
01
01
10
11
11
00
00
11
10
11
10
00
00
10
10
00
00
11
01
00
01
00
10
10
10
00
10
10
00
10
10
01
01
10
10
00
11
01
00
10
00
00
10
10
10
10
00
10
01
10
01
10
10
11
01
00
10
01
00
01
10
11
11
00
10
00
10
11
01
10
01
10
00
10
10
00
00
00
10
00
10
10
10
10
00
10
00
00
10
10
10
01
10
11
00
01
00
00
10
01
10
10
11
11
00
00
00
11
11
00
00
01
00
00
11
10
10
00
00
11
11
11
00
10
00
10
01
00
10
11
01
11
00
01
10
10
11
00
01
10
00
01
00
10
00
10
11
00
00
11
11
11
10
00
00
00
10
00
01
10
10
11
10
10
01
10
00
10
00
00
00
01
00
10
00
01
10
10
10
00
00
00
11
11
10
00
01
00
00
10
10
00
11
01
00
11
00
10
11
10
01
10
00
11
10
10
11
00
10
10
00
11
00
01
01
00
10
11
00
10
10
01
01
00
01
01
00
10
01
10
01
11
11
01
10
10
00
01
10
00
00
10
10
10
10
00
10
10
10
00
00
11
01
10
00
10
00
01
01
00
00
10
01
10
10
10
01
00
11
11
01
10
10
01
01
00
11
01
11
10
10
00
01
00
11
11
11
01
11
10
00
11
10
01
00
00
00
10
10
11
00
00
00
01
00
01
10
10
00
01
00
10
00
01
10
01
00
00
10
00
00
10
10
00
01
10
00
00
11
00
00
01
01
10
00
11
10
00
00
10
11
10
10
00
10
11
10
11
01
10
11
11
10
01
00
10
10
10
01
00
11
10
00
11
11
00
10
10
00
10
00
10
01
01
01
00
11
10
10
00
10
01
00
10
10
00
00
10
00
00
10
00
01
11
10
00
10
10
10
10
11
11
00
11
10
10
10
10
01
01
01
11
01
10
10
10
00
00
11
10
01
01
10
00
00
11
11
10
00
10
01
00
00
00
01
10
11
10
01
01
00
00
11
10
11
00
00
00
01
00
01
11
11
00
10
10
11
10
00
00
10
01
11
11
00
01
10
11
00
10
10
00
01
01
10
11
11
10
01
00
00
11
10
00
01
10
10
00
00
10
11
10
01
00
00
10
00
10
11
11
01
00
10
10
00
00
00
00
10
00
11
10
00
01
10
10
00
00
10
10
10
11
10
10
10
00
10
00
00
01
00
10
11
01
10
10
10
11
10
01
00
11
11
10
11
00
00
11
10
10
10
11
00
11
10
01
00
00
00
10
00
01
00
11
11
00
00
11
11
00
10
10
00
10
00
01
11
00
00
10
10
01
10
00
10
01
10
00
01
10
10
00
11
10
10
00
00
10
10
11
01
10
10
00
00
10
10
00
00
00
10
10
10
00
00
10
10
11
00
00
10
00
00
10
10
10
00
11
10
00
00
01
01
00
01
10
10
01
10
10
00
01
10
10
00
01
00
01
10
10
10
11
01
00
01
00
11
01
10
10
00
01
10
00
01
10
00
10
11
01
01
10
10
01
00
10
10
00
00
10
11
00
00
11
00
00
10
10
10
01
00
10
10
00
00
01
01
11
10
01
00
11
00
11
00
00
00
10
01
00
00
11
10
00
00
01
00
01
10
00
00
10
00
01
01
11
10
11
10
11
10
00
01
11
11
01
01
10
00
11
10
00
10
00
00
11
10
00
11
10
10
00
11
10
00
00
00
01
00
01
11
00
00
01
11
00
00
10
00
00
10
10
00
10
10
10
01
10
00
01
00
01
01
10
10
10
00
00
10
10
00
00
10
00
00
00
10
00
10
11
00
00
10
10
11
00
00
11
10
11
10
00
10
10
10
00
00
10
11
00
00
00
00
00
11
11
01
11
10
10
11
11
10
00
00
10
10
10
00
01
10
10
00
10
00
10
10
01
10
10
11
00
11
10
00
11
10
11
00
00
10
10
00
10
10
01
11
00
00
11
10
01
01
00
11
10
01
00
01
11
10
11
11
00
00
10
00
00
01
01
10
00
10
10
10
10
00
01
10
11
00
10
10
10
10
01
00
11
01
00
10
11
10
11
11
10
01
10
11
11
10
01
00
01
10
10
00
10
00
00
00
11
10
00
10
10
01
10
00
00
01
00
00
00
10
00
00
00
10
00
10
10
00
01
10
01
01
11
10
01
11
11
10
00
00
11
00
00
00
10
00
00
11
11
01
00
10
00
00
11
11
00
00
10
01
00
11
10
01
10
11
00
01
11
10
00
00
11
01
00
11
11
00
00
01
10
10
00
00
01
00
00
11
00
01
01
00
11
00
00
10
00
00
11
01
00
10
00
11
10
00
10
00
00
11
11
10
00
10
11
10
10
01
00
11
01
00
01
01
00
00
10
10
10
10
00
00
00
01
01
10
10
10
10
10
00
01
10
01
01
00
11
00
00
10
00
01
11
10
00
00
10
10
10
00
00
00
00
01
00
00
11
01
11
11
10
10
00
01
00
11
10
01
01
10
10
11
00
11
11
00
10
10
00
00
00
11
10
11
00
11
00
00
10
00
00
11
00
10
00
10
00
10
10
00
11
00
00
01
10
10
01
01
10
11
00
00
01
10
10
10
10
01
00
11
00
11
00
10
01
10
11
00
00
11
11
00
00
00
10
11
01
00
10
10
00
01
10
11
11
11
10
11
11
01
00
01
11
10
00
00
10
10
01
00
11
11
11
10
01
00
00
01
10
10
00
11
10
10
11
00
00
00
10
10
10
00
01
11
00
10
10
00
10
00
00
10
00
01
01
00
10
10
00
01
01
00
10
11
10
00
01
11
00
01
00
11
11
00
00
00
00
10
10
00
00
10
10
10
11
01
01
11
10
10
00
00
00
10
11
00
01
11
11
11
00
00
10
00
01
01
11
11
00
01
00
11
01
00
10
11
00
00
10
11
01
11
11
10
10
11
00
11
00
00
10
00
10
10
00
00
10
00
00
00
00
10
01
11
00
01
00
10
10
00
10
10
01
00
10
10
00
11
00
00
10
00
00
10
11
10
00
10
00
00
10
11
11
01
00
10
01
11
10
10
00
01
00
10
10
00
11
01
10
01
01
00
10
00
00
00
00
10
00
11
00
01
11
00
01
10
01
10
01
01
10
10
00
11
11
00
11
10
11
00
01
10
00
01
10
10
00
11
11
00
11
00
00
00
10
00
11
01
01
10
00
10
11
10
10
00
00
00
10
01
10
00
00
11
01
01
00
10
10
00
10
10
01
01
01
01
00
10
01
10
11
10
00
01
10
01
00
10
10
00
10
10
11
00
10
10
01
10
11
01
00
10
11
10
10
10
01
00
00
10
10
11
00
00
00
00
10
00
11
11
01
01
10
01
01
00
10
10
01
10
11
01
11
10
01
00
10
10
00
11
10
00
00
01
11
00
01
00
00
10
10
10
10
10
00
01
10
11
00
00
10
10
00
01
01
10
11
10
01
01
01
00
11
10
00
10
10
00
00
01
10
11
10
10
10
01
01
10
10
01
00
11
01
00
00
00
10
10
11
00
10
10
00
00
11
00
01
10
01
10
10
01
11
11
00
11
10
10
01
00
00
00
10
11
10
11
00
11
01
11
01
00
01
10
10
00
11
11
01
10
00
00
00
10
00
00
11
01
01
01
00
11
00
10
01
00
10
11
10
00
11
10
01
11
10
10
10
01
00
01
10
01
01
00
10
11
01
11
10
10
00
01
00
01
10
11
11
10
00
00
10
10
10
01
01
10
11
10
11
11
00
00
10
10
11
00
01
11
10
10
01
00
10
01
10
10
11
01
01
01
00
11
10
11
00
01
10
10
10
00
00
11
00
10
10
00
10
00
10
11
10
10
00
11
10
00
01
10
10
10
00
11
11
00
00
00
00
11
00
01
00
00
10
00
10
11
10
00
01
10
10
00
11
00
11
10
00
00
00
00
00
00
10
10
00
10
00
00
00
10
00
01
10
10
10
10
10
10
11
11
11
01
00
10
10
11
00
00
10
11
11
11
10
01
00
10
00
00
10
10
00
01
00
11
01
10
00
01
10
11
00
00
00
11
10
00
10
00
10
10
00
10
01
10
10
10
11
10
00
10
10
00
10
11
00
01
11
10
01
01
00
10
10
00
01
10
10
01
10
01
11
10
01
10
00
00
10
10
00
00
00
10
01
11
11
10
10
00
10
10
10
11
00
00
10
00
10
01
00
00
01
01
11
10
01
00
11
10
00
00
10
10
01
10
10
11
01
10
10
00
01
10
00
00
11
00
11
11
00
00
00
10
00
00
11
11
00
01
00
10
11
00
10
11
00
00
00
10
10
00
11
10
11
01
01
00
10
10
10
00
01
11
10
11
01
00
01
10
01
10
01
01
00
11
10
00
01
11
11
10
00
00
10
01
11
10
01
00
10
10
00
01
10
11
00
01
00
10
10
01
00
00
10
11
00
00
11
10
01
00
10
00
00
00
10
00
00
11
00
00
00
10
00
00
01
10
01
11
10
00
11
01
00
11
10
11
10
10
00
00
00
11
01
01
10
10
00
10
10
00
10
10
11
00
00
11
10
10
10
00
11
10
11
10
11
00
10
10
10
10
00
00
00
00
10
01
10
11
11
10
00
10
00
10
11
10
01
00
11
11
10
10
10
10
01
01
00
00
10
00
00
10
11
00
01
10
10
11
00
01
10
00
00
10
10
00
00
10
00
01
10
11
10
00
10
01
11
11
00
10
10
00
01
01
11
10
01
00
11
00
10
00
00
01
00
11
10
00
00
00
10
00
10
11
00
00
00
11
10
01
10
00
10
10
00
00
10
10
10
01
01
10
10
10
00
10
00
01
10
00
10
00
10
10
10
00
00
10
10
11
01
00
00
10
10
11
01
11
01
01
10
00
00
01
00
11
11
01
10
10
10
01
11
01
00
00
00
10
10
00
11
10
01
01
00
11
10
10
01
10
10
00
10
00
00
11
11
10
10
10
00
00
00
00
10
00
01
11
10
11
11
11
01
10
00
11
11
01
01
10
11
00
00
10
11
00
01
01
10
01
11
00
01
00
00
10
11
01
00
01
01
00
10
11
10
01
10
10
01
11
01
01
10
11
10
00
00
00
10
11
01
01
11
10
10
00
00
00
01
10
11
01
10
10
10
01
11
10
10
00
11
10
00
11
00
10
10
00
00
10
10
00
00
00
10
10
00
00
10
00
00
10
11
01
00
10
01
00
00
10
00
01
00
00
10
11
10
10
11
10
01
01
10
11
11
11
01
10
01
11
11
01
11
00
10
10
01
01
00
00
00
10
00
10
10
00
10
00
10
10
11
11
10
00
11
00
00
00
10
10
10
11
00
10
10
00
01
00
10
10
10
01
10
00
01
10
11
01
00
10
00
10
01
00
10
00
10
01
01
10
11
10
10
10
10
10
10
00
10
10
00
00
00
10
10
00
01
11
10
11
01
11
11
01
01
00
11
10
10
01
11
10
01
10
10
00
00
00
10
11
00
01
00
00
10
10
00
00
10
10
01
00
10
10
00
01
11
01
00
01
10
00
11
00
00
10
11
00
01
10
11
00
10
10
01
10
10
00
10
00
00
00
00
01
10
01
10
01
10
11
00
01
00
11
11
01
01
10
01
01
00
11
00
11
00
01
11
00
01
10
01
00
10
10
00
00
10
00
00
00
11
10
11
00
00
00
00
10
10
10
00
00
11
00
10
00
01
00
10
01
10
00
00
11
00
10
01
10
00
10
10
10
11
10
00
00
10
10
00
00
10
10
01
10
11
10
01
10
10
10
11
10
01
00
00
10
11
01
11
10
10
10
10
00
01
00
10
10
01
10
00
00
10
11
01
10
10
10
10
11
10
00
01
01
11
01
11
01
01
01
10
10
00
00
10
10
10
01
00
10
10
00
10
10
10
10
00
00
01
00
00
01
10
10
01
10
11
00
00
11
10
00
10
00
00
10
11
00
00
00
10
11
00
00
11
00
01
10
00
10
00
11
10
01
01
00
01
10
10
00
01
11
00
10
11
00
11
01
00
10
10
10
10
10
00
00
00
11
10
01
00
00
00
10
01
01
10
11
10
10
11
11
01
01
10
00
01
01
11
01
01
10
11
10
10
00
00
10
10
01
01
00
11
10
01
10
00
11
01
10
11
10
01
00
10
11
00
11
10
11
00
11
10
00
00
00
11
01
10
10
11
10
10
00
00
00
10
10
11
11
10
00
10
10
00
00
00
11
11
10
11
00
11
01
11
11
00
10
11
00
01
00
10
10
00
10
10
00
00
00
10
10
00
10
10
00
10
00
00
11
10
10
00
00
10
00
10
10
10
00
10
00
11
01
10
01
01
00
10
11
00
11
00
01
01
00
00
10
00
00
01
11
11
01
00
00
11
00
01
00
10
11
00
11
10
00
01
00
10
01
01
00
01
10
01
10
11
11
00
01
11
11
00
00
10
11
01
00
11
10
00
10
10
10
11
00
10
00
00
01
10
10
11
00
01
11
00
11
10
00
10
10
11
00
10
00
10
11
00
01
01
10
10
11
01
11
10
10
00
01
10
11
00
00
00
11
10
10
00
01
10
01
11
11
00
00
01
01
01
10
11
00
01
00
10
11
00
00
10
00
01
00
00
01
10
00
00
00
10
10
11
10
00
01
10
11
11
01
00
11
10
10
00
01
01
10
11
10
00
00
00
10
10
01
00
01
00
11
00
10
00
01
11
00
11
10
00
10
00
00
10
10
00
10
10
00
01
10
10
01
00
00
11
00
00
10
00
10
11
11
10
10
00
00
10
11
00
01
11
01
10
10
01
11
10
00
10
10
10
00
01
00
10
00
10
00
00
10
00
10
10
00
11
11
10
00
00
10
10
00
01
10
10
10
10
00
00
10
01
01
00
01
10
11
10
11
00
11
01
00
11
10
11
00
01
10
01
10
11
10
01
00
11
01
00
10
10
01
01
00
01
10
01
10
10
01
10
10
11
11
00
00
00
10
00
10
10
10
01
00
01
10
10
00
11
01
10
01
00
10
10
01
10
01
00
10
10
11
00
00
11
00
00
11
10
00
00
10
10
11
10
11
00
01
10
00
11
10
10
11
00
00
10
10
10
11
10
00
00
11
10
00
00
10
00
10
10
01
01
10
00
10
11
00
10
01
00
00
00
10
10
11
01
11
11
00
01
11
01
00
01
10
11
00
00
01
11
10
01
11
10
10
10
00
10
11
10
10
10
11
10
00
10
01
00
01
00
01
01
10
10
00
10
10
00
00
10
10
10
10
00
11
10
11
00
10
11
11
01
00
10
10
11
00
10
10
01
00
10
10
10
10
01
10
00
10
10
00
01
11
10
01
01
10
00
10
00
10
11
00
10
01
11
11
10
01
10
11
01
11
01
00
11
10
00
01
10
10
00
00
10
10
10
00
11
11
00
00
10
00
10
01
00
10
11
00
00
11
10
00
00
11
00
00
01
11
10
01
01
10
01
01
10
11
10
00
10
10
01
10
10
00
10
10
00
00
00
10
00
00
00
00
01
11
10
00
10
11
00
10
10
10
10
01
11
11
00
00
00
00
00
10
11
00
10
00
00
10
11
10
10
10
10
10
10
11
10
10
01
00
11
00
10
00
00
00
10
11
00
01
11
11
11
00
00
10
10
11
11
00
01
10
10
00
10
00
10
10
00
01
10
10
01
10
11
01
01
10
10
11
10
00
10
01
00
10
11
00
10
11
10
00
11
10
01
10
01
10
01
11
00
10
10
00
00
00
10
11
01
00
00
01
01
00
01
10
10
00
00
00
10
10
01
10
10
10
11
11
11
00
00
10
10
00
10
10
01
00
10
00
01
00
11
00
00
00
11
11
00
10
10
00
00
10
00
10
00
00
00
01
00
10
01
11
11
10
11
01
01
11
10
00
00
11
11
01
10
11
00
11
00
10
00
00
01
10
10
11
00
01
11
00
10
01
10
01
01
11
11
00
00
11
00
01
00
10
10
00
10
00
10
00
10
10
10
01
10
00
00
00
01
11
00
10
10
00
00
11
10
01
11
11
10
10
10
11
00
10
01
01
10
10
11
01
00
01
10
00
00
00
10
01
10
10
10
00
11
01
00
10
10
00
00
00
01
01
00
11
10
01
11
00
00
11
00
00
11
10
00
11
10
01
10
10
01
10
10
00
00
00
01
10
11
00
01
10
00
10
00
11
10
10
10
11
10
10
11
10
01
00
10
10
10
01
00
00
11
00
11
00
01
10
01
00
11
00
01
10
00
10
10
10
01
11
11
00
00
10
00
01
11
00
00
10
00
01
01
10
10
10
00
01
10
10
00
01
10
10
10
01
00
10
10
00
10
11
10
10
01
00
10
10
10
00
11
10
00
10
10
00
10
11
00
01
11
01
01
11
01
00
10
01
10
10
01
11
00
00
01
01
01
00
11
00
01
00
11
10
10
10
00
00
00
10
11
00
00
10
00
00
00
10
11
10
00
11
00
00
01
11
00
00
01
10
10
10
00
00
00
00
10
10
00
10
00
10
10
00
10
10
10
10
10
00
11
00
11
10
10
01
10
10
10
10
01
00
10
10
00
10
10
10
00
01
10
01
00
01
10
01
10
10
01
00
00
10
01
01
10
11
00
01
01
00
10
10
10
01
00
11
10
00
01
10
11
11
00
00
00
10
10
11
01
01
10
11
11
11
00
10
11
00
01
00
00
10
11
10
01
00
01
00
11
10
11
10
01
00
10
11
00
00
10
10
01
00
11
11
10
10
11
00
10
10
00
01
00
01
11
10
11
11
00
11
10
10
01
10
10
10
00
01
10
10
00
11
00
00
11
00
00
11
10
00
00
01
10
11
10
00
01
01
10
00
11
10
00
00
00
10
10
00
10
00
10
00
11
01
10
10
10
10
00
11
00
10
10
10
00
00
10
00
01
10
00
11
10
00
00
10
10
11
10
11
10
10
00
10
11
01
00
11
10
10
11
11
00
00
00
10
00
10
00
11
01
00
10
01
11
00
10
00
00
11
11
00
00
10
11
00
11
11
01
00
01
00
01
00
11
10
01
01
10
10
01
10
10
00
00
10
11
00
11
00
11
01
00
00
10
00
00
11
10
10
00
11
01
10
00
00
10
10
00
00
10
11
10
00
11
00
00
10
01
10
11
11
10
00
00
10
00
10
10
10
11
10
01
11
11
10
00
10
11
00
00
01
11
10
01
10
01
10
00
01
10
10
10
00
00
10
00
10
11
10
01
00
01
01
00
10
10
00
00
00
10
00
01
11
10
11
10
10
00
01
00
10
10
01
11
00
00
11
00
10
10
11
00
00
01
11
00
10
00
01
10
01
11
01
00
01
00
10
01
00
10
10
00
01
11
01
00
01
10
10
11
10
10
00
11
10
11
01
00
01
11
10
10
10
01
10
00
00
01
00
10
10
10
00
00
00
00
01
00
10
10
01
00
11
11
01
01
00
00
11
11
10
10
11
00
00
00
01
10
01
00
11
10
10
01
01
11
10
10
00
01
01
01
10
11
11
10
11
11
00
00
00
11
00
01
10
10
11
00
00
10
10
01
01
10
10
10
01
10
10
11
10
00
01
00
11
00
00
00
00
10
00
10
11
10
00
00
01
00
10
00
10
10
00
10
00
00
11
10
10
10
10
01
00
10
10
10
11
00
10
00
11
00
01
10
10
10
11
00
00
01
01
10
11
00
00
00
00
10
10
10
00
11
10
10
01
00
10
10
10
01
00
11
00
01
01
00
10
01
10
00
00
10
00
11
01
00
11
10
00
10
11
01
10
10
10
00
00
00
00
11
00
01
10
11
10
01
00
10
01
00
01
00
11
00
00
10
10
11
01
11
11
00
01
10
00
00
11
10
00
10
10
10
00
10
11
00
11
10
10
10
00
10
10
10
00
00
10
00
10
00
00
10
10
01
11
10
10
01
10
11
01
00
10
10
01
01
00
00
10
01
00
10
00
11
00
00
10
10
10
10
01
00
00
01
10
00
11
00
10
10
01
01
00
10
00
10
10
10
11
00
01
00
00
01
10
00
01
01
10
00
00
11
00
11
11
11
01
01
10
10
10
01
10
00
01
10
11
00
10
10
00
00
10
00
10
11
01
01
01
11
00
00
00
00
01
10
10
11
11
00
11
01
01
11
10
00
00
00
10
00
00
11
11
10
01
00
00
11
11
00
00
01
10
00
00
10
00
11
10
00
10
01
01
10
10
00
00
10
11
10
10
00
00
11
10
10
00
00
00
11
00
01
10
11
01
00
00
10
10
00
00
10
01
00
10
11
11
10
10
00
11
00
01
00
00
10
10
01
01
01
11
10
10
00
00
10
10
10
00
00
00
00
01
00
11
10
00
00
10
00
01
00
00
01
10
01
10
10
10
00
10
01
00
10
10
10
00
11
00
00
10
00
00
00
11
00
00
10
11
00
10
10
00
11
01
10
11
10
00
01
00
00
01
10
11
11
10
10
10
01
00
11
10
01
11
11
00
11
10
00
01
10
10
00
10
10
00
00
00
01
11
10
11
10
10
10
11
00
10
01
00
11
11
00
00
00
11
10
01
11
00
11
10
10
10
00
00
11
01
00
10
11
10
10
00
00
11
10
01
00
01
10
10
01
01
01
10
10
01
00
11
10
10
01
00
11
11
00
00
00
10
00
11
10
00
10
10
00
10
00
10
10
00
01
00
01
00
10
00
11
00
00
10
10
00
11
10
00
11
00
00
00
00
10
01
01
00
01
11
00
11
00
10
10
10
00
00
10
10
00
00
11
11
00
11
10
00
10
00
00
10
11
11
00
11
11
00
00
00
11
10
11
01
10
00
00
00
11
00
00
10
10
00
10
10
00
00
00
01
11
10
00
00
00
10
00
00
00
11
01
00
00
00
00
10
10
11
11
00
00
11
01
10
00
00
10
10
00
10
01
01
00
00
00
01
00
10
00
10
11
10
00
01
10
00
00
10
10
01
11
01
00
10
00
10
11
00
10
11
00
10
11
00
01
01
11
10
01
10
11
10
00
00
01
11
10
00
10
01
01
11
10
01
10
00
01
01
10
10
00
01
11
00
10
10
11
00
00
10
11
01
00
10
01
10
11
10
11
00
00
11
00
10
00
01
10
00
00
11
11
00
00
00
00
10
11
00
00
00
00
00
01
10
11
11
00
10
00
10
00
00
10
01
10
10
00
11
10
11
11
00
10
00
00
10
10
01
11
11
11
00
00
00
10
00
00
10
10
00
10
00
01
10
11
10
00
01
11
00
00
01
01
00
00
01
10
11
10
00
01
11
11
10
01
00
10
10
11
00
11
10
01
00
11
11
10
10
00
00
10
11
01
00
11
10
10
10
11
00
10
10
00
00
00
10
11
10
01
11
01
11
00
01
11
01
00
10
10
10
10
11
00
00
00
00
11
00
01
11
00
10
01
10
00
01
10
10
11
10
00
00
00
01
01
00
10
10
10
00
11
00
00
00
10
01
10
00
00
10
11
10
00
00
00
01
10
10
11
11
11
00
11
10
00
10
10
10
10
01
01
00
00
00
01
10
11
00
00
11
00
10
10
11
00
01
11
10
10
01
00
10
01
01
10
01
00
11
00
00
10
00
10
00
01
11
01
01
00
00
00
00
10
10
00
00
00
10
00
10
01
11
11
00
11
00
01
11
00
11
11
00
11
00
01
11
10
00
00
00
10
00
11
10
00
00
01
10
01
00
10
10
00
10
00
10
00
10
10
00
10
00
00
11
00
00
11
00
01
01
01
11
00
01
10
10
00
00
01
10
10
01
10
11
00
10
10
00
01
11
00
00
00
11
10
11
01
10
00
10
10
01
11
00
00
10
10
00
01
11
00
00
11
00
00
01
01
10
00
00
10
10
00
10
00
00
00
10
10
10
10
10
01
00
00
10
10
00
00
10
10
01
10
00
00
11
10
10
01
00
10
11
10
11
00
01
10
01
11
10
00
00
00
10
10
00
00
10
00
11
01
00
11
11
00
00
10
10
00
00
10
01
00
00
10
00
01
10
01
00
10
10
00
11
10
00
01
10
01
00
10
10
10
00
01
00
11
10
00
00
00
10
01
11
00
01
11
00
01
11
00
10
10
01
10
10
11
01
01
10
10
00
11
11
10
01
11
00
00
00
01
01
10
11
10
00
00
10
00
10
11
00
00
01
10
10
00
11
11
11
01
00
10
00
10
10
01
01
11
00
10
10
10
10
11
00
01
10
10
00
00
00
11
10
01
11
10
10
11
00
00
00
11
10
00
00
00
11
10
11
10
00
10
00
01
10
11
11
10
10
00
10
01
00
01
10
11
10
00
00
00
10
11
00
01
10
00
11
01
11
10
01
00
11
11
01
01
10
10
00
00
10
10
00
01
00
01
00
00
10
01
10
00
10
10
11
00
00
11
00
10
10
00
00
10
10
01
10
10
10
01
01
11
00
01
01
11
00
11
10
01
00
10
00
00
01
00
11
10
10
01
01
11
10
00
10
11
10
11
00
01
10
10
00
00
01
11
11
10
10
10
00
10
11
01
01
01
01
11
10
00
11
10
00
00
01
10
10
00
10
01
10
00
01
01
10
00
10
00
00
10
10
11
11
01
10
00
00
10
00
01
01
11
11
10
10
10
01
01
01
10
00
00
10
00
11
10
00
00
11
00
00
10
10
10
11
11
00
11
00
10
11
01
00
00
00
11
00
10
10
00
00
00
10
00
01
10
10
11
10
11
10
11
00
10
01
00
00
00
10
01
00
10
10
01
00
00
00
11
00
00
11
10
11
00
10
11
00
00
11
00
01
00
10
11
00
10
10
10
00
10
01
10
01
00
10
00
11
11
11
00
00
10
00
10
10
11
00
11
00
01
11
10
10
00
00
10
11
11
01
00
00
10
01
00
01
00
11
01
11
00
10
11
10
01
00
10
10
00
00
00
10
10
00
00
10
10
11
11
00
00
01
00
01
10
00
00
00
01
01
11
10
10
10
00
00
01
00
10
00
01
10
00
10
10
01
00
00
00
10
10
00
00
11
11
00
00
10
00
10
00
00
11
01
10
00
00
01
00
00
10
11
11
11
10
10
01
01
11
11
10
01
00
11
00
01
00
11
00
01
10
10
00
10
00
11
00
00
00
01
10
10
10
10
10
00
00
01
10
01
00
00
11
10
00
00
10
11
10
01
00
00
10
00
11
01
11
10
01
01
00
00
00
10
11
11
00
00
10
00
00
00
01
11
10
00
00
10
10
00
00
11
00
10
10
10
11
10
10
00
00
10
10
00
00
01
01
00
11
11
00
00
10
00
10
00
01
11
00
11
10
10
01
01
01
00
10
10
01
10
10
11
10
00
00
11
00
01
00
00
00
00
00
00
10
10
01
10
01
10
10
00
00
11
11
11
00
00
11
10
11
00
10
11
00
00
00
10
10
00
10
01
00
10
01
00
10
00
00
00
00
10
10
10
00
11
01
00
10
10
01
00
01
00
00
10
00
10
01
00
10
10
10
10
01
11
01
11
10
10
01
01
01
10
00
11
10
00
00
10
11
11
10
00
01
10
00
10
10
00
00
11
10
00
00
10
10
00
00
10
00
00
10
11
00
00
10
00
10
10
00
10
01
00
10
10
00
00
10
11
11
11
00
00
00
11
10
00
10
10
01
00
01
00
10
11
10
10
10
10
00
10
10
00
11
10
01
10
11
00
00
11
10
01
10
11
00
11
10
00
10
11
00
10
11
00
10
11
00
00
00
10
11
00
01
10
00
00
10
00
00
00
10
10
10
00
01
00
11
10
10
10
11
00
00
11
10
10
10
01
10
10
10
11
00
10
00
00
10
00
00
11
11
10
00
00
10
00
00
11
10
00
00
01
10
11
00
00
01
10
10
01
10
11
00
00
01
10
10
10
10
00
00
00
00
01
10
00
00
00
10
10
10
01
00
11
01
11
10
00
00
01
10
00
00
11
01
01
11
11
00
01
10
00
01
10
00
00
11
11
10
00
00
00
11
00
11
10
00
01
00
11
10
01
11
00
00
11
01
00
00
10
10
01
11
11
10
00
10
00
11
00
00
10
10
00
00
00
11
11
01
10
11
00
00
00
10
00
01
10
11
10
00
00
00
10
10
10
11
10
00
11
00
10
10
00
11
01
00
11
11
00
10
00
11
11
00
01
00
00
00
11
00
10
10
01
01
11
01
00
10
00
11
10
01
00
00
10
00
10
00
10
10
11
11
01
10
01
10
11
10
11
01
00
10
10
00
00
00
10
00
00
11
11
10
01
00
00
00
10
11
00
10
11
11
00
00
00
00
11
11
10
01
10
01
10
10
01
00
01
00
00
11
10
00
10
00
11
10
00
01
11
10
00
00
10
10
01
10
10
10
10
00
10
00
00
11
10
00
10
01
10
01
00
10
00
01
10
11
10
00
00
10
01
11
00
00
10
00
11
01
00
11
01
10
11
01
11
01
00
10
00
00
01
01
10
11
11
00
01
00
10
10
01
01
00
10
10
01
01
00
00
10
01
11
00
10
10
00
01
10
00
00
10
01
10
00
00
01
10
00
10
11
10
01
01
10
01
10
00
00
10
11
00
01
10
00
00
01
10
00
10
10
00
11
01
11
00
10
10
10
10
01
10
11
00
00
10
01
10
01
00
11
11
01
00
00
11
11
10
01
01
11
00
00
00
10
10
00
10
00
00
00
10
10
00
01
00
00
00
11
00
10
00
01
11
10
11
00
00
10
00
11
11
00
00
10
00
11
10
11
00
01
00
10
01
10
10
00
01
00
10
00
11
10
00
00
10
10
10
10
00
10
10
10
11
01
10
10
11
00
00
10
11
10
00
01
00
11
00
01
01
01
00
00
11
11
11
00
10
10
01
00
10
00
00
10
10
11
10
01
01
00
00
01
01
10
00
00
10
00
10
10
10
10
10
01
00
10
10
01
11
00
11
00
00
00
10
11
00
11
11
10
10
10
10
10
01
00
01
01
11
01
11
01
00
11
11
00
00
11
10
00
00
10
00
00
11
11
10
10
00
00
00
00
10
00
00
11
11
11
00
00
11
10
11
00
11
11
00
11
10
11
00
10
00
00
10
11
00
01
10
11
10
00
00
01
10
10
00
01
11
10
11
10
00
00
11
10
01
10
10
10
00
00
11
00
01
10
10
00
10
00
00
01
10
01
00
01
00
00
00
10
01
00
10
11
10
10
11
11
00
00
10
00
01
11
10
01
11
00
01
01
11
11
10
00
10
10
00
11
10
00
00
01
00
10
00
11
10
00
10
11
00
00
00
11
10
10
11
00
00
10
10
00
01
00
10
11
10
10
11
10
11
11
00
01
10
10
01
00
10
00
10
11
10
11
10
11
00
10
00
00
10
10
00
00
10
11
10
10
00
01
10
00
10
01
11
00
10
11
10
10
00
11
10
00
00
10
10
10
10
11
00
01
00
00
00
01
10
10
00
00
10
10
00
00
10
01
01
01
00
01
01
10
11
00
10
10
00
00
00
10
10
01
00
10
10
10
00
00
10
10
00
10
10
00
00
00
01
11
10
00
00
10
00
11
10
00
10
10
01
11
00
11
11
00
10
10
10
10
00
01
00
10
10
00
10
00
01
00
10
10
01
10
10
00
00
00
10
10
10
01
01
10
00
01
11
00
00
00
00
00
00
10
11
10
11
00
00
00
11
10
00
00
10
10
10
00
01
11
00
10
10
00
00
11
11
00
00
01
10
10
11
10
01
00
01
00
00
10
10
10
01
11
00
10
01
10
11
10
00
11
10
01
00
00
10
10
11
01
00
11
00
10
11
01
10
00
00
10
10
10
01
01
00
10
10
10
00
00
10
01
10
00
01
10
00
00
11
10
10
00
00
10
00
01
00
00
10
01
11
00
00
11
01
10
11
10
00
00
00
00
00
10
10
10
00
01
10
10
10
11
00
00
01
00
10
10
10
01
00
10
10
01
00
01
10
11
01
11
00
00
11
10
00
00
10
11
01
01
01
01
10
01
00
11
10
10
00
00
01
10
10
11
01
01
11
10
00
00
01
10
00
01
10
10
10
10
00
10
10
00
11
00
10
10
01
10
00
10
00
01
01
10
10
10
00
00
10
11
00
00
10
01
11
00
11
00
00
10
10
10
00
10
11
10
10
11
10
10
11
10
00
01
10
00
01
11
10
00
00
10
01
10
00
00
11
10
10
10
00
11
00
11
11
01
10
11
00
00
01
10
11
10
00
00
01
00
10
11
01
00
01
10
00
11
00
10
10
10
00
10
00
00
10
01
01
10
10
11
01
00
00
10
10
00
10
00
11
10
01
10
01
00
00
11
01
11
11
11
10
11
00
00
11
11
01
00
00
11
00
00
11
10
11
00
11
00
10
10
01
00
10
10
10
10
11
10
11
00
01
10
00
11
10
00
00
00
00
11
10
10
10
00
00
10
00
01
00
11
10
00
00
01
01
10
01
00
10
10
10
11
11
00
01
01
00
01
10
00
00
01
10
11
00
10
01
11
01
10
01
00
00
11
00
00
10
11
00
10
00
01
11
00
00
00
00
10
00
10
10
00
00
01
11
11
10
00
11
10
11
00
10
10
10
01
00
00
01
00
11
10
11
00
00
10
00
11
11
10
00
11
00
11
00
00
10
10
10
00
00
11
00
00
00
10
00
00
01
10
10
11
10
00
10
01
11
11
00
00
10
11
10
00
00
11
10
00
10
10
01
11
00
00
00
10
10
00
10
00
11
00
00
11
00
01
10
00
11
10
00
00
01
10
11
10
00
00
10
10
01
10
10
11
00
10
10
00
00
00
10
00
11
10
10
10
00
00
00
01
11
11
10
10
00
01
01
10
01
00
00
00
11
10
01
00
10
11
11
00
01
11
01
00
10
10
00
00
10
11
00
11
00
10
00
10
10
01
00
10
00
10
00
10
00
11
11
00
10
00
10
11
00
01
00
10
10
01
00
01
01
10
10
00
10
01
01
11
10
10
01
11
00
00
10
10
10
00
10
00
00
10
00
00
01
10
10
10
10
00
00
01
01
10
10
00
10
01
10
00
01
10
11
01
11
11
11
00
00
00
10
10
01
00
10
11
11
10
10
00
11
00
01
00
10
10
10
00
00
00
10
10
10
01
01
00
10
10
00
10
11
11
01
01
00
11
10
10
10
10
00
10
11
01
10
10
11
00
00
00
11
10
01
00
10
10
10
11
01
00
11
01
00
00
10
00
01
00
00
00
10
10
00
10
10
00
00
10
01
10
11
01
10
10
00
01
00
11
11
01
10
10
00
00
01
10
10
01
01
01
01
10
11
00
11
01
01
10
11
10
01
01
11
00
11
00
00
01
00
10
10
00
00
11
11
00
01
00
00
00
10
10
10
00
00
11
10
10
01
10
11
00
10
10
00
01
00
00
10
10
01
10
00
01
10
01
11
10
01
11
01
10
01
00
00
11
11
10
00
10
10
10
00
10
00
10
00
10
00
00
10
11
10
00
10
01
00
10
01
10
01
00
00
10
00
00
11
10
00
00
10
10
11
10
00
00
11
01
01
00
11
10
00
11
11
10
11
10
01
01
10
01
00
00
11
10
00
10
10
00
00
01
00
01
00
00
01
01
10
10
10
10
10
10
00
10
10
00
10
11
10
11
10
00
10
10
11
01
00
10
01
11
01
01
01
00
10
00
10
10
11
11
01
00
11
00
11
10
10
00
00
10
10
11
01
01
10
10
01
10
10
00
11
11
01
00
00
11
00
10
10
00
00
00
10
10
10
10
00
10
11
01
00
10
00
10
10
00
10
10
10
01
00
10
00
11
10
01
11
10
01
00
00
10
11
00
10
10
01
10
00
00
10
11
00
11
10
10
11
11
00
01
01
10
00
10
01
11
11
11
10
00
01
10
11
00
10
10
00
00
10
00
00
10
10
00
00
10
11
00
00
01
11
10
01
00
00
00
11
00
00
10
10
10
00
11
10
00
00
00
10
00
11
01
00
10
11
01
01
11
00
01
01
10
11
11
10
00
11
11
00
11
00
00
00
10
10
00
10
10
10
10
00
10
10
00
00
01
11
10
10
01
01
10
11
00
00
11
10
10
00
00
11
11
00
01
00
11
10
00
11
10
00
00
10
10
11
10
00
00
11
10
01
00
00
10
01
10
10
10
10
10
00
00
11
00
01
00
00
10
01
10
00
01
11
00
01
11
10
11
00
10
10
11
00
10
11
00
11
00
11
11
10
10
01
00
11
00
01
10
00
00
11
01
10
10
01
10
00
01
00
00
10
01
11
10
00
10
01
00
10
10
10
01
01
11
10
00
01
01
11
01
01
11
00
10
10
00
10
11
10
00
00
10
00
01
10
10
01
00
01
01
01
00
00
10
01
00
11
10
10
01
10
00
10
10
00
10
00
11
10
00
00
10
00
10
11
11
00
01
10
00
00
01
11
10
01
00
00
00
00
11
00
11
10
11
00
00
01
11
10
11
00
00
00
10
10
00
01
10
10
00
01
00
00
10
10
01
00
10
00
00
10
00
01
10
10
01
00
11
00
10
00
10
10
00
10
11
00
01
01
10
10
10
11
10
11
00
00
00
10
00
00
00
10
00
00
10
10
10
10
10
01
10
11
00
00
00
00
01
00
11
10
11
10
01
10
01
10
10
00
01
11
01
01
10
10
11
00
01
10
10
01
10
00
11
10
01
11
11
10
10
00
01
10
10
00
00
10
10
11
01
01
10
10
10
11
01
00
01
11
10
10
11
10
00
00
01
10
00
01
10
11
10
00
00
10
00
10
10
00
11
11
10
10
01
00
10
00
11
10
00
00
10
00
00
10
10
00
01
00
10
00
00
10
11
10
01
10
10
00
01
10
10
10
11
10
11
00
00
01
11
01
00
10
11
01
00
10
10
11
10
00
01
11
10
00
00
10
10
01
01
00
11
01
00
00
10
10
01
00
10
00
10
10
00
00
10
00
00
00
10
10
11
11
00
00
00
11
01
10
10
10
10
10
01
01
00
11
10
01
00
10
11
01
10
11
00
00
00
11
10
00
11
10
11
10
00
11
00
00
10
10
00
00
01
10
00
10
01
01
00
10
11
11
00
00
01
10
00
00
10
10
01
00
00
00
00
11
10
10
00
00
00
01
10
00
01
01
10
10
10
10
01
01
10
10
00
10
00
00
10
10
01
10
10
10
00
01
00
10
11
00
00
00
00
00
11
00
10
10
00
10
11
11
00
10
00
10
00
11
11
00
10
00
00
11
01
01
10
11
00
00
00
10
10
10
10
00
00
10
00
01
10
10
10
01
01
11
10
00
01
11
11
11
01
00
10
11
00
01
10
10
10
01
00
10
01
01
00
00
10
00
11
11
10
10
10
00
10
10
10
01
00
10
11
11
11
10
00
00
00
11
00
10
10
00
10
10
10
00
00
00
01
00
10
00
01
00
11
10
11
00
00
11
01
10
10
01
00
00
00
10
00
00
00
10
01
00
10
10
01
00
11
11
11
01
00
00
11
10
10
11
00
01
00
10
10
00
10
00
11
10
01
01
11
11
00
10
10
01
01
01
10
10
10
10
11
10
10
01
00
00
10
00
01
10
00
00
11
00
10
10
00
10
10
10
01
11
00
01
10
00
11
11
10
00
00
00
10
11
00
10
11
11
10
01
10
00
01
01
11
00
01
00
10
10
00
10
01
10
10
00
10
11
01
00
10
10
01
11
01
11
00
01
10
11
00
00
01
10
00
00
10
00
01
00
11
10
01
10
10
01
00
00
10
00
01
11
11
00
00
11
10
11
10
10
01
00
00
10
01
01
10
00
11
11
10
01
10
10
10
10
00
11
10
10
00
01
11
00
00
00
10
00
10
00
00
10
10
00
11
11
00
11
10
00
10
10
00
10
10
00
11
11
11
10
10
01
10
00
00
00
10
00
00
11
11
00
11
01
10
10
10
00
10
00
00
11
00
01
10
10
11
00
00
11
00
10
01
10
00
10
11
00
01
00
10
10
10
00
00
00
10
11
10
10
01
10
01
00
00
00
10
10
01
01
10
01
00
10
11
11
01
11
10
01
10
10
00
00
11
10
00
00
10
10
00
10
10
10
10
11
01
01
10
11
10
10
00
00
10
00
00
00
01
11
01
10
10
01
10
01
00
10
10
00
00
00
00
01
00
01
00
10
10
01
01
11
10
00
11
11
01
00
00
11
01
00
10
11
10
11
10
00
00
10
10
00
01
10
10
00
00
11
11
10
00
10
11
10
00
11
00
00
00
11
10
01
10
10
00
11
11
01
00
11
00
01
00
11
10
11
01
01
00
10
00
00
01
01
01
10
10
00
00
10
00
00
00
00
00
01
10
00
01
00
00
11
01
00
01
00
11
10
11
11
11
01
00
00
01
10
10
10
10
00
11
10
10
01
01
10
11
00
01
00
00
11
11
00
00
10
10
00
11
10
01
01
10
10
01
00
01
10
10
10
00
00
10
00
00
01
00
10
10
01
00
11
00
01
00
11
00
00
10
10
00
00
10
00
10
10
01
10
11
00
00
10
10
00
00
01
00
00
11
00
11
00
00
10
00
10
11
10
01
11
00
00
00
00
00
11
10
01
11
01
00
01
00
10
11
01
01
00
00
00
10
10
10
10
10
10
11
11
11
11
11
11
01
00
00
11
00
00
01
00
10
10
11
10
00
00
11
11
00
10
00
00
01
00
01
10
10
00
11
10
00
10
10
00
11
00
11
00
10
10
01
01
00
10
01
01
11
10
01
00
10
10
10
01
11
10
01
00
01
00
10
01
11
10
00
10
10
00
11
11
11
00
10
10
00
10
00
00
10
01
00
00
01
10
11
01
10
11
00
00
00
01
11
10
11
01
00
10
00
00
00
11
10
00
10
00
10
11
00
01
00
00
10
00
00
10
10
00
10
00
10
11
10
00
10
10
01
01
10
11
01
00
00
11
00
11
00
00
11
01
10
11
01
10
00
10
00
00
10
01
01
00
10
10
01
11
10
10
10
01
10
10
00
00
10
00
00
10
10
00
00
01
00
10
11
01
10
10
10
00
00
00
10
11
11
10
10
10
00
00
01
11
10
00
00
10
10
11
00
10
11
00
10
10
11
00
10
01
10
11
11
11
11
10
10
00
11
01
00
10
10
01
10
00
00
01
00
10
01
01
11
00
11
10
10
00
01
10
11
10
10
00
01
00
00
10
10
10
11
00
00
11
11
10
00
11
11
10
10
01
00
00
10
00
01
11
10
10
01
10
00
10
10
00
00
10
10
10
00
00
00
01
01
11
10
10
01
11
10
00
01
11
11
10
10
01
00
00
11
10
11
01
10
00
00
11
00
10
01
11
11
10
10
00
10
00
10
10
10
00
01
11
10
00
00
00
10
10
01
00
00
11
10
10
10
10
01
00
11
00
10
01
00
10
10
00
10
00
01
11
11
00
10
10
00
11
01
10
10
00
00
00
10
10
00
11
00
00
11
00
10
00
01
10
01
00
11
00
10
10
11
00
00
01
10
01
00
00
11
10
00
10
10
00
01
00
00
10
00
10
11
10
01
11
10
10
00
00
10
10
01
10
10
00
10
10
01
11
10
10
10
11
01
10
10
00
00
00
11
10
11
11
10
10
00
11
11
00
00
00
01
10
11
00
10
11
10
11
01
10
10
00
01
00
10
01
10
00
11
10
01
00
00
10
10
10
00
00
10
10
11
00
10
00
00
11
01
00
10
10
01
00
01
00
00
00
00
00
10
10
00
10
10
00
10
11
10
10
00
11
10
11
10
00
10
11
01
10
10
11
10
01
01
01
10
01
10
11
11
11
00
00
10
00
00
10
10
01
00
11
10
10
01
00
10
00
00
11
01
10
10
11
11
10
00
10
10
10
00
01
01
01
10
00
00
00
11
01
01
11
11
11
01
11
10
00
10
11
00
11
10
01
10
00
00
10
00
00
11
10
10
10
00
01
11
10
00
00
00
11
01
00
10
10
10
01
00
01
11
10
01
11
10
10
10
00
00
01
10
01
00
11
11
10
00
00
10
11
10
01
01
10
11
00
01
11
11
00
11
10
01
00
10
10
00
11
00
00
10
01
11
10
11
00
10
10
01
10
10
11
00
00
10
11
00
10
11
10
11
10
01
00
01
00
01
00
11
10
01
10
01
11
10
11
00
10
10
00
01
11
10
11
11
01
11
01
10
00
01
00
11
10
00
00
10
00
10
10
00
10
10
10
10
10
10
10
10
00
10
00
00
10
11
10
01
00
11
11
11
10
10
10
01
00
00
00
10
11
00
00
11
00
00
00
11
00
11
00
00
10
10
01
00
01
11
10
10
00
00
00
00
10
11
00
00
10
00
00
01
00
00
10
01
00
10
00
11
11
11
11
11
10
01
10
00
00
01
10
11
01
00
01
01
00
10
10
11
01
01
10
00
10
10
00
01
01
10
10
01
11
01
00
11
00
00
00
01
11
01
10
11
11
00
10
10
00
01
00
11
01
01
10
10
00
11
01
01
10
10
10
00
10
00
00
11
01
11
10
10
01
11
00
01
10
11
01
01
01
11
11
00
00
10
00
10
10
11
00
10
10
00
10
00
10
00
10
00
10
00
10
00
10
11
00
11
00
10
10
10
01
00
10
00
10
11
00
10
11
11
10
01
10
00
11
01
01
00
01
10
00
11
10
00
10
10
00
00
00
10
01
10
11
10
10
10
10
00
01
10
11
10
10
01
11
10
00
01
10
00
10
10
00
00
11
10
10
00
00
10
10
01
10
11
10
00
00
10
01
00
00
10
00
00
11
10
10
10
00
00
10
10
00
00
10
10
11
00
10
10
01
10
01
10
10
10
10
10
01
00
01
10
11
00
10
10
10
10
00
10
00
10
01
01
00
01
00
11
10
10
10
10
01
11
11
00
00
10
00
00
01
01
10
10
01
11
10
10
00
00
10
00
10
10
11
00
00
11
10
00
10
00
00
10
11
10
11
11
10
01
10
10
01
11
00
11
11
00
01
10
10
10
00
00
01
11
11
00
00
10
00
10
10
01
00
10
11
10
00
00
00
01
10
10
01
10
10
11
11
01
00
10
10
00
00
10
11
00
01
11
00
10
10
00
01
01
11
10
00
11
10
00
01
00
11
00
11
01
11
10
00
10
00
10
10
00
10
00
10
10
01
11
10
00
10
11
01
00
10
11
01
10
00
00
01
00
11
10
00
10
00
11
11
10
11
11
00
01
10
10
01
10
00
01
01
10
00
10
10
00
10
01
10
10
00
00
00
01
11
10
01
00
01
00
11
11
01
11
10
10
00
01
11
00
00
10
01
00
11
10
11
10
01
01
10
01
10
00
00
10
00
10
00
00
00
01
00
01
11
00
11
10
10
10
00
00
10
00
01
00
10
00
00
10
00
00
10
00
01
01
11
01
11
11
10
10
00
01
10
10
01
01
10
10
00
10
00
10
11
10
11
01
01
00
00
11
00
11
10
10
11
10
11
01
00
11
00
10
10
00
01
00
01
11
11
11
10
00
10
01
10
11
00
00
01
10
00
10
10
00
00
11
00
11
11
00
11
11
10
00
11
10
01
00
00
11
10
10
10
00
00
10
10
01
01
11
00
00
11
00
00
11
11
01
01
10
00
01
10
10
00
00
11
10
00
01
01
00
10
10
01
10
10
10
00
00
01
11
10
10
01
00
00
01
11
00
01
00
11
00
00
01
10
10
00
11
10
10
01
00
00
00
00
11
00
10
10
10
10
01
10
11
00
10
00
10
10
10
01
00
00
11
10
00
10
10
00
11
01
10
11
10
00
00
01
00
00
10
11
00
10
10
01
00
00
00
10
00
00
10
10
00
01
00
10
00
00
00
00
10
01
10
00
01
00
11
11
10
00
00
01
10
00
00
01
10
00
10
10
01
00
10
00
00
00
10
10
10
10
00
01
01
00
00
00
00
10
10
11
10
10
11
00
00
01
01
01
10
00
10
00
00
10
00
00
01
11
10
00
11
11
10
01
00
00
10
10
11
00
00
10
11
00
00
10
01
10
10
01
11
10
00
00
00
10
01
10
10
10
10
11
11
11
10
00
00
11
00
00
11
10
10
10
10
01
01
11
11
10
00
00
10
00
00
10
10
00
01
10
01
11
10
10
00
01
11
10
10
10
10
00
00
00
11
10
00
00
01
11
10
11
10
00
00
10
00
00
10
11
00
10
00
11
00
00
11
10
11
01
11
11
01
01
01
00
10
11
10
00
11
01
00
10
10
00
01
10
10
11
00
10
01
00
00
01
00
00
00
01
10
11
00
10
10
00
01
10
00
00
00
01
00
10
11
01
01
11
11
00
00
00
10
00
10
10
00
10
00
00
10
10
11
00
11
00
01
00
00
01
00
11
01
01
10
11
00
11
01
01
11
10
11
10
11
00
00
10
00
01
11
00
00
10
00
10
00
00
10
01
00
00
10
10
10
10
00
10
10
00
10
10
00
00
01
00
10
00
00
01
01
10
10
10
00
00
10
11
00
10
10
00
01
00
10
00
11
11
11
00
01
11
10
01
00
10
10
10
00
00
00
10
01
10
11
00
10
10
11
00
00
00
10
01
10
10
00
01
10
01
10
10
01
01
10
11
00
00
11
10
00
10
10
10
11
10
01
10
10
01
00
10
10
00
11
00
01
00
10
01
10
10
10
00
11
10
11
00
10
00
00
10
01
11
01
10
10
10
00
00
10
00
11
00
01
10
10
10
00
10
00
01
10
10
01
11
01
01
11
00
11
11
00
10
10
10
00
10
10
10
00
11
10
10
10
00
00
00
00
00
10
00
11
01
10
01
11
00
11
11
00
10
00
00
10
10
11
11
10
10
11
00
01
11
00
10
10
00
00
01
00
11
01
11
10
11
10
01
00
01
00
11
11
10
11
10
11
10
00
11
01
11
01
11
11
00
00
11
10
00
00
00
10
10
11
01
00
01
01
10
11
00
01
10
01
01
10
00
00
10
10
11
00
00
00
00
10
11
11
11
00
10
10
10
01
01
11
00
00
00
11
10
01
10
11
11
10
01
00
11
01
10
11
11
01
01
10
11
01
10
10
01
00
00
10
11
10
00
00
00
11
10
10
10
00
00
11
00
10
10
00
00
00
10
01
00
10
00
11
00
10
10
01
10
11
10
00
00
00
10
10
00
00
00
11
01
01
10
10
01
10
01
00
11
00
11
00
01
01
00
10
10
11
00
00
10
11
10
01
10
00
10
00
01
00
11
10
00
00
00
10
00
00
11
11
10
11
10
10
10
01
01
11
01
01
10
10
11
10
11
00
10
11
01
00
00
11
10
10
00
10
10
11
10
10
01
10
11
10
11
10
00
00
10
00
00
00
00
01
10
00
11
10
01
10
01
10
00
00
10
10
01
11
00
11
00
11
00
00
10
10
00
11
00
00
00
11
10
00
11
00
01
10
11
11
00
00
00
00
10
10
00
10
11
10
11
10
00
00
10
11
00
11
10
11
11
00
11
10
00
00
01
11
10
11
00
01
00
01
10
10
00
00
10
10
01
00
00
00
10
00
10
10
00
00
10
00
01
11
10
11
01
10
01
10
11
00
00
11
10
10
01
01
10
01
10
10
10
00
00
10
10
10
00
00
00
10
11
11
10
00
00
10
00
00
01
10
11
11
10
01
00
10
01
00
11
10
01
00
10
11
00
10
10
10
01
01
10
01
10
01
10
00
10
10
00
01
10
00
10
10
11
11
10
10
10
00
11
10
01
00
10
00
11
10
11
01
00
01
10
11
10
10
01
11
10
00
01
11
10
00
01
10
01
00
00
01
01
11
10
00
11
10
00
00
00
00
01
01
10
10
01
11
10
00
11
11
00
00
00
10
10
10
10
01
11
01
00
00
10
00
11
00
00
10
11
11
11
10
00
00
11
00
10
01
00
10
11
10
11
01
01
10
00
01
10
11
11
01
01
10
11
00
10
10
01
00
11
10
00
00
00
10
00
10
10
01
00
01
00
01
10
00
01
01
00
11
00
01
11
10
01
10
10
01
10
11
10
01
00
00
11
00
01
10
00
10
01
10
00
00
10
10
00
00
01
10
00
00
10
01
10
11
10
00
01
00
00
00
00
10
10
00
10
01
00
00
10
11
01
11
01
01
10
10
10
01
01
10
00
00
00
01
00
11
10
10
10
00
00
11
10
00
00
10
00
00
11
11
11
01
00
11
00
11
11
00
01
10
10
10
00
00
10
00
01
00
00
01
00
00
00
11
01
10
10
10
00
10
00
00
11
00
01
10
10
01
11
00
00
00
11
00
11
01
01
11
00
01
00
10
01
00
10
00
10
10
01
01
10
01
00
10
11
00
11
11
10
00
10
00
10
10
01
10
10
00
00
00
10
00
10
11
01
11
00
10
10
11
00
01
10
10
01
10
00
10
10
01
10
11
00
01
00
10
00
11
01
00
11
10
10
11
01
10
10
10
00
10
10
00
10
11
11
00
00
10
10
11
10
00
00
11
11
10
00
10
10
00
11
00
00
01
10
10
11
10
00
10
10
10
10
00
00
01
10
10
01
10
00
00
10
00
00
00
00
00
10
00
10
01
00
01
11
10
00
00
11
11
10
00
00
01
00
00
10
00
00
10
01
10
10
00
11
11
01
00
00
11
00
00
10
11
10
10
01
01
00
10
10
00
00
11
00
00
00
00
00
01
00
01
00
10
10
10
01
10
11
10
11
10
11
00
00
01
11
00
00
01
10
01
00
10
00
00
00
00
00
10
01
00
01
10
00
00
11
00
10
00
10
01
01
10
10
10
00
10
10
00
00
10
00
00
11
01
01
11
10
10
11
01
00
00
10
11
00
10
10
00
10
01
10
10
01
10
00
10
10
00
10
11
10
00
01
11
00
00
00
10
01
00
11
10
00
11
01
10
00
00
10
10
11
00
01
00
10
00
00
00
10
11
01
11
10
10
01
00
10
10
10
00
01
01
01
00
00
10
11
01
10
11
01
00
11
01
00
11
10
01
00
01
11
01
01
00
11
10
10
11
01
10
01
10
10
10
10
01
01
00
11
00
00
00
00
10
00
10
10
10
10
01
00
01
00
00
00
10
11
10
10
00
01
11
11
01
10
01
00
01
01
10
10
01
01
10
01
01
11
11
10
00
00
11
00
00
10
10
10
00
00
10
11
00
00
00
00
11
11
00
10
10
00
10
10
01
00
10
01
00
00
10
10
00
10
00
10
01
10
10
00
10
11
00
00
00
00
10
00
10
00
01
10
00
00
00
10
10
10
01
01
11
10
11
10
01
00
11
11
00
01
10
01
01
01
10
11
01
00
01
11
00
11
11
00
01
10
10
00
10
10
00
00
11
00
11
11
11
10
10
10
00
00
10
01
00
11
00
11
01
01
11
10
10
00
00
01
11
11
00
10
00
10
10
11
01
00
11
01
01
10
01
00
00
10
10
10
11
00
10
10
00
11
00
01
11
11
01
01
11
00
01
10
10
00
00
10
00
00
10
11
11
00
10
10
01
11
01
01
00
11
11
00
01
10
10
11
11
00
10
00
10
11
10
00
00
00
11
10
00
10
00
10
00
00
00
10
00
01
00
10
11
01
10
00
10
11
10
10
00
00
10
00
00
01
11
10
00
11
11
00
00
11
00
01
00
10
10
11
00
00
11
11
00
01
01
00
10
10
00
10
11
01
10
00
10
00
00
10
00
00
10
10
00
10
00
00
01
10
00
00
00
10
11
11
01
10
11
10
01
11
00
01
10
11
00
00
00
10
11
00
00
00
10
10
00
01
11
01
00
01
11
10
01
00
10
00
10
11
11
10
00
10
11
01
01
10
01
10
00
01
01
11
00
10
11
01
00
10
11
10
00
00
11
01
11
10
00
01
11
00
00
10
10
01
10
10
01
10
11
00
00
10
10
00
00
10
11
00
00
01
10
11
00
10
00
00
11
00
10
11
00
10
10
00
00
01
10
10
01
00
10
01
10
01
11
00
00
01
10
01
01
10
10
10
11
10
10
00
01
00
11
00
10
10
01
00
01
10
11
01
11
10
00
11
10
01
10
01
00
11
10
00
00
10
00
01
11
11
00
00
11
10
11
00
00
10
11
10
10
00
00
01
01
10
10
01
10
11
00
00
00
10
10
10
00
00
10
10
11
00
01
10
00
01
00
10
10
00
00
10
10
10
01
01
10
00
10
00
10
10
00
01
10
10
01
10
11
00
00
01
00
01
00
11
10
11
10
10
00
00
11
11
01
01
10
01
00
01
00
00
00
10
00
00
00
10
11
00
10
00
01
00
10
00
00
10
11
01
11
01
01
11
00
10
10
01
00
11
10
01
00
00
10
00
00
00
00
11
10
10
00
00
00
10
11
10
10
10
10
01
11
01
01
10
11
11
10
00
11
10
00
10
11
01
01
10
11
00
10
10
00
00
10
10
00
01
11
10
00
11
01
10
01
00
10
10
10
01
00
11
10
10
00
11
10
10
10
00
10
01
00
10
10
11
10
01
10
10
00
00
00
11
00
01
00
11
10
00
11
11
00
10
11
00
01
10
00
00
10
10
00
10
11
00
00
00
10
00
00
00
00
11
00
10
10
00
01
00
01
00
10
10
01
01
01
11
10
00
00
01
10
00
00
00
10
11
00
00
10
10
00
00
00
11
10
00
10
10
10
10
01
01
10
11
10
01
11
10
01
11
10
00
01
10
10
00
01
10
11
01
00
00
00
01
00
11
10
00
01
10
11
01
10
10
10
00
01
10
10
01
10
01
10
10
00
00
00
10
11
10
01
10
00
10
00
01
10
11
00
11
01
10
01
10
11
11
10
00
00
00
11
10
00
01
10
00
10
01
10
11
10
11
11
10
01
01
10
01
01
10
10
01
00
01
10
11
10
00
00
10
10
01
00
11
00
01
00
10
01
10
10
00
10
00
00
00
10
10
01
01
10
01
11
10
11
00
00
10
00
01
00
10
11
01
10
00
10
11
10
00
00
00
11
10
00
10
11
00
11
00
10
10
00
10
00
00
10
01
10
10
01
10
00
11
00
01
00
01
00
10
10
01
11
11
00
00
10
10
01
00
10
11
00
00
10
00
10
00
01
01
00
10
11
00
10
00
01
10
10
00
01
10
10
00
10
10
11
00
10
00
00
10
00
10
00
01
01
10
00
00
10
00
00
10
10
00
10
00
01
00
01
01
00
11
11
10
00
11
10
01
10
10
10
01
00
01
00
11
00
00
10
11
11
01
10
11
00
01
00
11
10
00
10
00
00
00
10
11
00
01
10
01
00
01
10
00
10
01
10
11
10
10
00
01
00
01
00
10
11
00
10
00
00
00
00
01
10
01
10
11
00
10
10
00
01
10
10
00
00
10
10
00
01
11
10
11
10
00
00
10
00
11
10
00
01
10
10
11
01
11
01
01
10
00
10
00
00
10
10
01
00
10
11
11
00
10
10
10
00
00
11
00
10
01
00
00
10
00
10
00
01
10
10
00
11
10
11
00
00
10
10
00
00
00
10
01
00
10
01
10
11
10
00
01
11
11
00
10
11
10
00
10
10
00
00
00
01
11
11
00
11
00
10
10
11
10
00
10
00
11
01
10
01
10
11
10
10
10
00
10
01
11
00
10
10
00
10
00
01
00
10
00
10
10
10
00
00
00
10
10
10
10
10
00
00
10
11
00
10
10
10
01
00
01
00
00
10
10
01
10
00
00
11
10
11
01
10
11
10
10
00
11
10
10
10
01
10
11
00
00
10
00
01
10
00
01
11
00
01
00
11
00
00
11
10
01
01
00
00
00
01
00
00
11
11
11
00
01
10
00
00
11
01
01
11
11
10
10
00
10
10
00
01
00
10
00
10
01
00
01
10
00
00
00
00
00
00
01
00
11
11
10
11
00
11
00
10
00
00
11
10
01
00
01
10
11
10
00
10
10
00
00
10
10
10
00
01
00
10
11
00
11
11
10
00
00
00
00
11
10
00
11
00
01
00
00
11
01
01
11
01
11
01
01
00
00
01
00
00
11
10
00
00
00
01
10
00
10
11
10
00
10
01
11
10
00
00
00
10
11
10
11
01
01
00
01
00
00
11
01
11
10
00
10
01
00
00
11
10
00
00
11
10
10
00
01
10
11
11
10
10
10
00
00
10
00
00
11
10
11
11
10
10
10
10
00
10
10
00
00
01
01
10
10
11
00
10
11
00
10
00
00
10
01
10
10
10
00
10
10
00
00
00
10
10
00
00
10
00
10
10
10
11
00
10
00
00
11
10
11
10
10
10
01
11
10
00
01
00
11
01
10
01
11
00
01
00
10
10
11
10
10
10
00
00
00
00
00
10
10
01
10
00
01
00
11
00
11
11
01
00
01
10
10
10
11
10
01
01
10
00
00
01
00
10
10
00
10
10
10
01
11
10
00
00
10
11
00
10
11
10
00
11
10
11
00
01
00
11
10
00
10
00
00
00
11
10
11
00
01
11
10
01
10
10
11
10
00
10
10
01
00
10
10
00
00
10
10
11
01
01
00
10
11
10
00
00
00
10
00
10
10
10
10
11
00
00
10
00
00
10
01
11
10
00
10
10
11
10
01
00
00
10
11
00
00
00
00
11
10
01
11
11
01
01
10
11
10
00
00
11
00
01
10
10
00
10
10
01
10
10
00
10
01
11
10
00
10
01
01
00
11
00
11
10
11
11
00
01
10
10
11
01
00
01
11
10
01
00
00
11
10
01
01
00
10
00
00
11
10
00
00
10
00
00
01
10
00
10
11
00
10
10
01
01
10
01
01
10
10
10
10
11
10
01
00
00
00
00
00
01
11
00
00
11
00
11
10
10
01
00
00
00
11
10
01
11
10
11
00
11
10
01
00
00
01
10
00
00
00
10
01
11
10
11
00
01
10
11
00
01
00
10
11
00
10
10
10
00
11
00
00
10
11
00
00
00
00
01
10
00
01
10
01
01
10
10
00
10
10
10
01
10
01
10
00
00
00
11
10
11
00
01
11
10
10
10
01
01
11
00
10
10
00
10
11
00
00
10
11
10
10
10
10
00
00
00
10
01
00
00
01
00
10
01
10
10
10
01
01
01
10
11
01
11
11
01
01
10
10
01
00
11
01
01
10
10
00
10
10
10
01
00
10
01
01
11
00
10
11
10
00
01
00
11
10
00
01
10
00
11
01
00
00
10
10
11
10
00
10
01
00
11
00
00
00
10
00
11
00
01
00
10
10
11
00
00
00
11
10
10
11
10
10
10
01
01
00
00
01
00
11
00
00
10
10
01
00
10
10
00
10
10
00
11
10
00
10
11
00
00
00
10
10
11
10
00
00
11
10
10
10
10
10
00
00
01
01
10
10
00
01
01
00
10
00
00
00
01
00
10
10
00
01
11
10
01
00
10
10
00
01
10
10
00
00
10
01
00
10
11
01
10
00
11
10
10
00
01
10
10
10
01
10
00
00
10
00
00
10
10
11
00
01
00
11
01
10
01
10
10
00
11
11
00
11
10
00
00
11
11
10
00
01
00
00
00
10
10
11
11
01
01
10
01
01
00
10
11
10
11
10
00
01
00
11
00
00
10
10
00
11
01
00
10
10
10
01
10
00
00
01
10
00
10
11
10
10
10
10
11
01
01
10
10
10
10
00
00
11
10
00
11
10
11
00
00
10
00
10
00
10
00
11
00
01
01
10
00
00
00
00
10
10
00
00
10
00
10
00
00
10
10
10
10
10
10
01
10
00
10
10
10
00
01
11
10
10
11
00
00
01
00
01
00
10
10
00
00
01
11
10
00
00
00
11
00
00
10
00
10
10
01
11
00
00
00
00
00
10
11
10
10
00
01
00
00
01
01
00
01
10
11
11
00
00
10
10
10
10
01
00
11
11
00
10
00
11
10
10
10
00
10
10
00
10
01
11
00
10
10
00
10
01
00
10
10
10
01
11
00
00
00
00
10
01
10
00
01
10
11
10
10
10
00
01
11
10
11
10
10
11
10
00
01
10
11
11
00
10
00
00
01
10
01
10
10
00
10
11
01
10
10
01
00
01
00
01
10
10
00
10
11
01
00
00
10
10
11
00
00
01
11
10
11
01
10
10
10
10
00
10
00
10
10
11
01
01
10
10
00
10
10
10
10
01
01
11
00
11
01
01
11
11
00
10
00
01
00
11
11
11
00
01
11
01
00
10
11
00
00
11
00
00
00
00
00
01
01
10
00
11
00
01
00
10
00
11
10
10
01
01
11
11
01
11
10
10
00
00
11
10
00
00
10
10
00
10
10
11
00
01
00
11
11
10
00
00
01
10
00
01
10
11
00
01
00
10
10
10
10
01
00
10
11
00
11
00
11
01
00
00
00
00
10
00
00
10
10
10
00
10
00
11
11
11
10
10
00
00
11
00
00
00
10
11
01
00
11
01
00
10
11
00
00
00
10
10
01
10
00
00
00
10
01
10
11
00
00
00
10
00
10
01
01
11
00
00
10
01
00
11
00
01
00
10
11
01
01
00
01
10
00
11
10
00
01
00
10
00
01
11
10
10
00
00
01
10
01
00
10
11
10
11
10
11
00
10
00
01
11
00
10
11
11
11
11
11
00
00
01
00
01
00
11
11
01
11
00
00
10
00
00
10
10
01
00
00
00
10
10
01
00
10
10
00
10
00
00
01
00
00
11
10
11
10
10
00
10
00
00
00
01
10
10
00
01
00
10
11
00
00
11
10
10
01
10
00
00
10
00
00
01
11
01
01
10
00
10
11
01
01
10
11
00
01
10
10
00
00
00
10
10
01
00
10
00
10
00
10
10
11
01
00
01
10
10
00
10
10
10
11
11
00
00
10
01
10
00
00
10
10
00
10
11
11
00
10
10
00
10
10
00
00
00
11
11
10
11
00
10
01
00
10
00
00
01
01
10
10
11
00
11
00
11
00
01
00
10
10
00
10
11
10
00
00
01
01
11
11
11
10
00
00
11
10
00
00
10
10
01
10
10
11
00
01
01
10
01
01
00
10
10
01
10
10
11
11
10
11
01
00
01
10
10
00
10
11
00
00
11
10
00
10
00
01
01
11
11
01
10
01
01
01
00
10
11
00
01
00
01
10
11
00
11
01
00
11
11
10
01
10
10
00
10
10
01
11
10
10
10
10
10
01
10
01
00
10
10
01
00
00
00
10
00
11
10
01
11
11
11
00
01
00
11
00
01
10
10
00
01
00
10
00
00
00
10
10
01
01
00
01
11
10
11
00
10
00
10
00
00
10
10
11
00
10
10
01
00
00
01
00
11
10
11
00
10
00
10
10
11
00
10
01
00
10
01
10
10
11
10
01
11
01
10
00
10
00
00
11
01
10
00
00
00
10
00
00
11
10
00
00
00
11
10
01
00
11
01
01
11
11
00
00
01
10
00
01
10
10
10
00
11
00
11
11
01
00
10
10
00
00
10
10
00
00
10
00
00
00
00
01
11
00
00
11
11
10
10
11
00
11
10
00
00
11
10
10
11
10
00
11
11
00
10
10
01
10
11
00
11
11
00
00
01
01
10
00
00
01
10
10
10
00
00
00
00
11
00
00
10
10
00
01
10
10
10
00
00
10
10
00
10
10
00
00
10
00
10
01
01
00
00
10
01
10
00
10
00
00
11
10
00
00
10
01
01
01
11
00
00
11
10
11
10
11
00
10
10
00
00
11
11
01
00
11
10
00
10
10
00
00
10
10
00
00
11
01
11
10
11
00
00
01
11
10
10
10
00
10
00
11
10
01
00
10
00
10
10
00
10
00
11
10
11
10
11
00
10
10
10
10
00
10
11
11
11
11
10
00
00
00
10
11
00
10
00
11
00
10
11
01
11
00
01
00
01
00
11
00
00
01
00
00
10
11
00
11
10
00
10
11
11
00
01
10
10
00
00
00
10
10
10
00
00
10
11
01
11
10
10
00
10
00
10
10
11
00
11
10
01
01
00
01
10
00
00
10
11
00
00
00
00
11
10
10
01
11
11
10
11
00
00
11
10
01
10
00
00
11
00
11
10
10
00
01
10
00
00
11
00
00
00
10
10
00
00
01
11
10
10
00
00
11
01
00
00
10
01
00
10
00
10
10
00
01
10
00
10
10
00
00
10
10
10
01
01
00
10
00
10
10
01
11
00
00
00
00
01
10
10
00
01
11
11
01
01
00
10
00
10
01
10
11
00
00
00
01
10
01
10
11
10
00
11
01
11
10
01
00
00
10
10
10
00
01
10
10
01
10
10
00
00
11
00
00
11
00
10
00
11
00
10
10
00
10
01
10
00
11
10
11
10
01
00
10
00
11
10
00
00
11
11
10
01
01
10
00
00
01
00
10
10
11
11
01
00
00
01
10
00
00
10
10
01
10
10
00
10
11
01
00
01
10
10
11
00
10
00
11
00
10
11
10
10
11
00
00
00
11
10
00
10
01
10
10
10
00
00
10
00
01
10
10
11
00
11
10
00
11
00
01
10
10
00
11
00
11
00
01
11
10
00
00
00
01
00
11
10
00
01
01
10
00
00
00
11
10
10
10
00
01
00
11
00
10
01
11
00
11
00
01
10
10
10
00
00
11
00
01
00
10
10
10
10
00
10
11
10
00
10
00
11
10
00
01
10
01
00
10
10
10
10
10
10
00
11
10
00
11
01
01
10
11
11
10
00
00
00
10
11
01
00
00
01
01
11
11
10
00
01
10
00
10
10
10
00
10
11
01
00
00
01
10
11
00
01
11
11
00
01
01
10
00
01
11
10
11
00
11
01
00
01
10
10
00
11
10
10
00
10
01
10
00
01
00
10
11
10
00
10
10
01
01
00
00
01
00
00
00
11
10
00
01
01
01
00
10
00
10
11
00
11
10
00
00
10
00
01
10
00
01
00
10
00
00
10
11
10
00
01
01
10
10
11
00
00
11
11
10
00
10
00
00
11
01
00
10
01
10
10
11
11
11
10
00
00
00
01
11
00
11
01
10
10
11
10
00
00
11
00
10
10
01
10
01
11
00
10
01
11
10
00
00
10
00
10
00
00
11
01
01
01
10
10
00
00
11
00
00
10
10
00
01
00
00
00
10
10
01
10
00
00
10
00
11
00
10
10
11
01
00
01
00
00
10
11
00
10
10
10
00
00
10
11
10
10
00
11
11
01
11
00
11
01
10
10
00
01
11
00
00
11
10
00
10
10
00
01
11
11
00
00
01
00
00
00
00
00
11
00
10
10
00
01
10
11
00
11
00
11
10
11
10
00
00
00
00
00
10
10
00
00
01
00
00
00
00
10
00
10
01
00
10
00
01
10
00
11
01
10
00
00
10
01
01
01
10
10
01
01
00
10
00
11
11
00
11
00
00
11
00
11
10
10
01
01
00
10
00
00
00
10
00
11
00
00
01
00
00
11
10
01
00
10
01
10
10
10
01
11
00
10
10
01
00
10
01
11
11
10
01
01
01
10
11
00
11
00
00
10
01
11
11
11
00
00
10
11
00
00
10
00
00
11
00
00
00
11
10
10
00
10
11
00
00
10
01
01
01
00
10
10
01
00
01
00
10
10
10
10
00
10
11
11
01
01
10
01
10
00
00
00
01
10
10
00
01
00
10
11
00
10
00
10
10
10
01
10
10
00
00
00
11
00
10
10
10
11
01
00
01
00
01
11
11
00
00
10
10
11
10
01
10
10
00
10
11
11
01
01
10
10
11
10
01
00
00
10
10
00
01
11
00
00
10
01
00
10
10
00
00
10
00
10
00
00
10
00
01
11
01
11
01
01
10
00
11
10
01
00
00
01
11
10
01
10
11
10
00
00
10
10
00
00
11
10
00
11
00
11
01
10
10
00
00
10
11
10
11
01
01
00
01
00
10
01
00
10
11
00
01
11
11
11
01
10
10
10
00
10
00
01
10
11
00
11
10
10
00
11
00
01
00
10
00
11
00
10
10
00
11
00
00
00
10
10
11
00
01
11
00
01
10
01
01
00
10
01
00
10
10
11
00
11
10
01
00
01
00
10
00
00
10
00
01
11
01
00
00
10
10
11
11
11
00
10
00
00
10
10
11
00
11
00
01
00
00
00
00
10
10
00
10
00
01
10
00
10
00
11
10
00
11
11
10
10
00
00
11
01
00
10
11
00
00
01
11
10
01
00
11
00
01
10
00
11
00
10
10
10
01
11
10
00
00
10
01
11
10
01
00
10
10
10
00
01
10
10
01
01
11
11
00
11
10
00
10
01
00
10
10
01
00
11
01
10
00
00
10
10
00
01
10
10
00
11
10
00
10
10
10
11
00
00
00
00
10
00
10
01
11
01
11
11
01
11
00
00
00
11
10
01
10
10
00
10
00
01
00
11
11
00
10
01
00
10
10
10
11
00
10
10
00
01
10
00
01
00
00
00
00
00
11
00
10
00
01
11
00
10
10
01
00
10
01
01
11
01
00
01
10
10
00
01
10
11
00
01
10
00
10
10
00
01
10
10
11
01
11
10
10
10
00
00
00
10
11
11
00
01
11
10
01
01
00
10
11
00
10
10
00
10
10
11
00
00
10
11
00
10
10
00
10
00
00
10
01
11
00
10
00
00
01
01
00
01
10
00
01
10
10
00
00
10
00
10
10
10
00
10
01
10
10
10
01
00
00
00
10
11
11
00
00
00
00
00
01
10
10
00
00
00
00
10
01
10
00
01
10
11
10
10
01
01
10
10
10
01
00
00
00
00
01
00
10
11
00
11
00
00
10
00
00
00
10
10
11
00
10
00
00
10
10
11
11
11
00
00
10
00
00
10
11
00
00
10
11
00
01
00
10
00
00
01
01
00
11
11
00
01
01
01
01
00
10
11
00
01
11
00
10
00
00
10
10
10
11
10
10
00
00
00
00
10
10
10
10
01
10
10
00
11
11
11
01
10
11
00
00
01
10
10
00
11
00
00
00
01
10
10
10
11
00
10
11
01
01
11
11
00
01
00
00
01
10
10
10
00
01
00
10
10
01
01
11
10
10
00
10
00
00
11
10
10
10
10
01
00
00
00
10
10
10
01
10
00
10
10
10
00
10
00
10
00
01
00
00
10
00
01
00
00
11
00
01
11
11
01
00
00
10
10
01
11
10
00
10
00
11
10
00
00
11
10
11
11
11
00
01
10
11
00
01
00
10
01
01
10
10
11
00
01
00
11
10
01
00
11
10
00
00
00
00
10
11
00
00
11
10
00
10
10
01
00
00
11
10
00
11
10
00
10
11
00
11
10
00
01
01
00
10
10
00
11
00
00
11
00
11
11
10
01
00
01
10
00
01
00
00
10
11
00
00
01
11
11
10
00
01
10
00
10
00
01
10
10
00
10
00
10
00
11
01
01
00
00
11
10
10
01
00
10
11
10
01
10
00
01
11
10
10
01
00
10
00
00
11
10
00
00
10
01
11
00
00
00
11
10
10
00
00
10
11
10
10
10
00
00
10
01
00
10
10
01
10
10
11
00
01
00
10
11
10
01
00
00
10
11
00
00
00
10
10
01
10
00
10
10
10
00
11
00
00
10
00
10
10
10
01
11
10
11
01
11
01
01
10
00
01
00
00
10
00
00
00
11
10
11
00
10
11
10
00
00
00
10
00
00
00
01
11
10
11
00
11
10
10
11
10
11
10
01
01
10
10
01
10
11
00
10
10
10
11
10
10
00
11
00
01
10
10
10
00
10
00
01
10
00
10
11
10
00
11
10
00
10
11
10
11
01
01
11
11
11
10
00
00
00
11
00
01
10
10
00
00
10
01
00
11
10
00
00
10
10
00
01
01
10
01
10
00
10
01
01
00
11
11
00
10
00
11
11
10
00
01
01
00
01
10
10
10
10
00
11
01
00
10
00
01
11
10
11
00
00
00
10
10
00
10
00
00
01
00
10
10
10
11
11
10
10
11
00
10
00
00
00
10
11
10
11
00
00
00
00
00
00
10
10
00
00
00
10
00
00
11
10
11
00
00
10
11
01
01
10
11
01
11
00
10
10
00
11
01
10
11
00
00
10
00
00
11
01
00
00
00
00
10
10
00
10
00
11
01
10
00
11
10
10
10
00
01
11
00
01
00
10
10
11
00
00
11
10
10
00
10
10
00
01
00
01
00
00
10
11
00
01
10
10
10
11
10
11
01
01
11
11
00
00
01
10
00
01
11
11
01
00
01
01
10
11
10
00
01
10
10
01
10
00
00
10
10
10
10
01
10
11
11
00
11
10
00
10
00
01
01
11
10
11
10
00
00
10
00
00
10
00
10
10
01
11
10
00
00
10
10
00
00
10
01
00
00
00
00
00
00
11
00
00
00
00
10
01
10
11
10
10
10
00
10
10
00
01
00
10
00
10
11
00
00
10
01
00
10
10
00
11
10
10
10
11
00
10
00
00
10
01
11
10
00
10
01
11
11
11
11
01
00
10
10
01
10
01
00
10
00
01
01
11
10
10
11
10
01
10
00
00
10
10
00
11
10
01
10
10
10
11
11
00
00
10
10
00
11
00
10
00
11
01
01
00
10
01
00
10
10
00
00
10
11
00
01
00
10
11
00
11
10
00
00
10
10
11
10
00
00
10
00
01
10
01
10
10
00
00
01
11
01
00
00
00
10
01
10
11
00
00
11
11
01
01
00
00
00
00
10
00
00
10
10
00
01
00
00
10
11
01
00
11
00
00
10
10
10
11
11
10
01
11
10
01
00
00
00
11
10
00
00
10
10
10
11
00
00
10
11
10
11
11
00
11
10
00
10
00
00
10
11
01
10
11
01
01
01
10
00
01
11
10
00
00
10
10
11
11
11
00
10
00
00
00
00
10
11
00
10
11
01
10
00
00
11
00
00
11
11
01
01
11
00
00
10
00
11
10
10
00
00
11
10
01
00
00
00
01
10
11
11
10
10
01
00
11
00
00
10
11
00
00
10
10
00
00
00
00
00
10
10
11
01
11
01
01
10
10
10
11
00
01
10
11
00
00
00
00
01
10
00
00
10
01
10
11
00
01
10
10
00
10
10
00
11
00
01
01
10
01
00
10
01
01
10
11
00
00
10
10
10
11
00
00
00
10
00
00
10
01
10
11
10
00
10
00
10
10
10
00
01
10
11
01
10
11
11
00
01
10
11
10
00
10
10
00
01
11
11
11
10
10
10
01
01
00
11
11
11
10
01
10
01
00
11
00
01
00
11
10
01
00
10
01
10
10
01
00
10
10
10
11
10
00
01
11
11
10
10
01
01
10
10
10
01
11
00
00
11
00
00
10
10
10
11
10
11
00
11
01
01
11
01
00
10
10
01
01
11
10
00
00
10
00
10
11
10
00
00
01
01
01
00
11
10
10
00
00
11
11
11
00
01
00
11
00
01
00
10
01
00
11
01
10
11
10
10
00
00
11
10
00
01
10
10
00
00
00
10
11
10
00
10
00
00
11
00
10
10
00
00
10
00
00
01
01
00
00
01
01
11
00
10
11
01
10
01
00
10
10
10
10
00
00
10
00
10
11
10
00
01
10
00
10
00
00
01
10
10
01
10
11
00
11
01
11
00
00
01
10
11
11
00
00
01
11
00
00
10
10
00
00
10
10
01
00
00
10
10
10
00
00
10
00
10
00
00
10
00
11
11
11
10
11
01
01
10
01
11
10
00
11
11
00
11
10
01
00
10
01
01
11
10
10
00
00
00
00
00
11
10
11
11
00
10
01
10
00
00
00
10
01
00
00
00
01
01
11
10
10
00
00
10
00
00
10
10
10
00
10
10
11
00
11
01
10
01
10
10
00
00
10
00
10
11
01
01
10
01
00
00
00
00
10
10
01
00
01
00
10
01
01
10
10
00
00
10
11
01
11
11
10
00
10
00
10
01
10
10
00
00
00
11
00
11
00
00
11
10
01
00
10
01
10
10
00
11
10
01
01
01
01
10
10
00
00
01
10
11
01
10
00
11
00
10
10
00
01
11
01
10
10
01
10
10
00
10
00
00
01
00
11
10
10
01
00
10
11
00
00
10
01
11
00
10
00
01
10
01
10
00
10
00
00
10
10
01
10
00
01
00
00
01
10
10
10
11
11
00
01
11
00
11
10
00
01
10
10
10
10
01
10
11
11
11
11
00
00
00
00
10
00
11
10
01
01
01
10
01
00
10
10
01
00
10
01
10
01
10
00
00
10
11
10
00
00
10
11
00
00
01
01
10
00
01
00
00
10
00
00
00
11
10
10
11
00
01
00
00
11
11
00
11
10
01
10
01
00
01
00
00
11
10
10
01
10
11
11
10
10
11
10
00
00
10
10
01
10
00
01
10
11
00
00
01
10
11
10
10
11
00
11
00
10
11
01
00
01
00
00
00
11
01
01
00
11
11
01
00
01
10
10
11
00
00
10
10
10
10
00
00
11
00
11
10
00
00
10
10
10
10
00
11
00
00
11
11
00
00
10
11
11
01
01
10
00
10
00
01
10
10
01
10
00
10
00
10
10
00
00
10
10
11
00
11
10
11
00
00
00
01
10
10
10
00
11
11
01
00
00
10
01
10
10
00
01
00
10
01
00
11
10
10
10
11
11
01
11
00
00
10
10
11
00
10
11
00
11
01
00
10
01
01
00
00
11
01
00
10
10
11
00
01
11
10
00
01
11
01
00
10
01
01
01
00
10
01
11
00
01
10
10
00
10
00
00
10
11
11
00
10
10
01
01
00
10
11
01
11
10
11
01
00
10
10
10
01
10
10
00
00
10
11
10
00
10
00
00
01
01
10
11
11
11
10
00
10
00
00
00
10
10
11
00
00
10
10
00
10
00
11
01
00
10
10
10
01
01
01
00
01
00
00
00
00
00
10
11
01
10
11
10
11
11
01
10
00
00
00
11
10
01
10
10
10
00
00
00
11
10
01
11
10
00
10
10
11
10
01
00
00
11
11
10
11
10
10
10
10
01
10
00
01
10
11
01
11
10
11
01
10
10
00
00
00
00
10
10
00
00
00
10
00
01
00
11
00
10
00
00
01
10
11
00
00
10
10
10
00
00
10
00
01
00
10
00
11
00
10
11
11
00
01
01
10
01
00
11
11
00
01
00
10
11
10
00
10
10
01
11
11
11
10
01
01
01
10
10
00
00
01
10
11
00
11
11
01
11
11
00
00
00
11
10
10
01
00
10
10
00
00
00
11
10
11
01
01
10
10
11
01
00
10
00
01
00
00
11
10
00
00
10
00
00
11
10
00
00
10
00
11
10
01
00
10
10
01
00
10
10
00
01
00
10
10
10
11
11
00
11
00
00
00
11
00
00
01
10
11
11
10
00
00
10
10
11
00
01
00
00
11
11
11
00
00
11
00
00
00
10
10
10
00
00
01
10
10
01
11
11
11
11
00
01
10
01
11
10
00
00
10
11
00
10
10
00
10
00
01
00
01
10
01
01
10
00
00
01
10
10
00
10
00
01
00
00
00
10
00
10
11
10
11
10
00
00
00
00
10
01
00
11
11
10
10
11
00
01
10
10
11
11
10
00
00
01
10
01
00
00
10
00
10
10
10
00
00
10
00
11
10
11
10
10
00
00
00
11
11
00
00
01
11
11
01
10
00
01
01
00
10
11
10
10
00
11
01
01
00
11
00
01
10
00
10
11
11
00
11
10
01
01
01
11
00
01
10
10
00
00
00
10
10
00
11
00
00
00
11
11
10
00
01
10
10
01
00
10
00
00
10
10
11
00
00
00
10
10
10
00
00
10
10
10
10
10
00
00
01
11
10
00
00
10
00
01
01
01
00
10
00
10
11
10
00
00
11
10
10
00
11
11
00
10
11
00
00
11
10
01
00
11
00
10
00
00
10
10
10
11
00
01
00
00
10
01
10
01
01
10
00
10
00
00
00
11
10
10
01
01
10
01
00
11
10
00
10
01
00
10
10
00
10
10
00
10
00
01
00
01
10
10
00
00
10
00
11
10
00
01
10
11
00
00
10
10
00
00
10
00
00
10
10
00
10
10
01
10
01
10
10
00
11
00
11
00
01
01
01
10
11
00
00
10
10
10
10
11
00
01
11
10
01
00
00
10
10
00
10
01
11
10
10
01
10
00
01
11
01
10
01
00
10
00
10
10
00
10
10
01
10
01
00
00
00
10
10
10
01
00
11
00
00
00
10
00
00
01
10
10
01
01
00
01
00
10
10
01
01
11
11
00
10
10
11
00
01
11
11
00
00
00
10
00
00
10
10
10
00
10
00
00
11
00
10
11
00
11
00
00
10
01
10
01
00
11
01
11
10
11
10
00
10
00
00
10
10
00
00
11
10
01
00
01
10
11
10
00
11
10
11
10
10
10
10
00
10
01
00
00
11
10
10
11
10
01
00
01
00
11
10
10
10
01
10
00
00
10
10
10
00
00
11
10
10
00
11
00
10
10
00
00
00
10
10
00
00
10
01
00
11
11
01
01
10
11
01
11
10
10
11
01
01
10
00
01
00
10
00
10
00
01
10
00
11
11
11
00
10
11
10
00
10
00
01
10
00
10
00
00
00
10
00
11
10
00
10
01
10
10
10
11
01
00
00
00
01
00
00
10
10
10
01
00
01
00
10
10
00
10
00
00
11
10
00
00
00
00
11
00
10
01
00
10
11
00
00
00
10
11
10
01
00
10
00
10
00
10
00
00
00
01
10
01
00
00
10
01
00
11
11
01
10
11
10
10
00
10
00
10
00
01
00
00
11
10
00
10
10
01
01
00
10
10
10
01
01
10
10
10
00
00
11
00
01
01
11
00
11
10
01
10
10
01
10
00
10
10
00
10
00
01
00
11
00
01
00
10
11
10
10
00
01
00
11
10
10
10
10
01
00
11
10
00
10
10
11
00
10
10
10
11
10
01
00
00
11
00
10
00
01
10
00
01
01
10
10
11
00
10
01
00
10
00
11
11
00
10
00
01
10
01
00
10
01
10
10
00
01
10
01
00
00
10
10
00
10
10
01
10
01
00
00
11
00
00
10
10
00
11
11
11
10
01
00
11
10
10
01
10
10
00
11
10
11
10
00
00
10
00
01
11
10
00
10
10
00
11
10
01
00
10
00
00
00
10
10
10
00
00
00
00
11
00
00
10
10
01
10
00
01
00
01
00
00
10
00
11
01
11
11
00
00
00
10
01
00
10
10
00
01
00
10
00
10
11
01
01
00
00
00
10
00
10
10
01
11
00
01
00
10
00
00
11
01
00
10
11
00
10
00
00
10
10
01
10
10
00
10
00
01
01
11
10
01
10
00
11
00
00
10
11
00
10
10
01
01
00
10
10
01
00
00
10
10
10
00
00
10
10
00
00
00
10
10
11
01
00
01
01
11
00
10
00
10
11
10
01
00
01
00
01
00
10
00
00
10
10
00
10
01
10
11
10
01
00
10
01
10
01
11
11
11
00
10
10
10
00
00
10
11
10
00
01
11
00
10
00
10
00
01
10
01
00
01
00
10
11
01
01
11
01
00
11
11
10
00
00
11
11
01
01
11
01
00
10
00
00
11
11
00
10
01
00
00
10
11
11
11
10
00
11
01
10
01
01
10
11
00
00
10
00
00
01
00
11
00
01
00
10
11
10
11
00
10
01
10
10
00
10
10
11
01
11
00
00
10
10
00
10
01
01
10
01
11
11
01
01
11
11
10
10
01
01
11
10
10
10
00
10
00
00
10
00
00
11
11
11
10
10
00
11
00
00
10
00
01
11
00
00
01
00
01
00
01
10
10
11
10
11
01
01
10
10
00
00
00
01
00
11
11
10
11
11
00
01
01
01
11
10
01
10
00
00
00
10
11
11
00
10
10
00
10
00
10
11
10
10
10
00
10
10
00
11
10
00
10
00
11
00
10
00
01
00
01
11
10
11
01
11
11
01
01
01
10
01
01
10
11
00
01
00
10
10
10
01
00
01
01
00
10
01
10
11
10
00
10
11
01
11
11
10
10
10
00
00
10
10
00
00
10
10
01
00
10
01
01
00
01
10
00
11
00
11
11
00
01
10
01
00
01
10
10
01
00
10
11
10
00
11
00
11
01
11
01
00
11
00
00
00
10
10
01
01
10
11
00
00
00
00
01
01
10
11
01
10
00
10
11
10
10
00
11
11
00
00
10
10
00
01
00
00
01
00
11
11
00
00
00
10
10
11
10
01
11
00
10
00
10
11
00
00
10
11
01
00
11
01
10
00
10
10
00
01
10
11
10
00
00
00
11
10
10
01
10
11
11
11
00
01
00
11
10
00
00
00
10
00
10
10
01
10
01
10
10
01
01
00
10
00
00
10
10
11
10
00
00
00
00
01
11
00
01
10
00
10
11
11
10
00
00
11
10
00
10
11
10
11
10
00
00
10
10
10
11
00
10
10
00
10
00
00
10
00
00
01
10
01
00
11
00
10
11
10
00
01
00
10
10
10
11
00
11
10
01
10
10
00
01
10
01
11
11
01
00
10
00
00
10
10
01
00
00
01
00
01
11
01
00
00
11
10
00
01
10
10
00
10
00
11
00
10
11
00
10
11
00
10
00
01
10
00
00
10
00
11
01
01
10
00
10
10
00
10
00
00
10
10
00
11
10
00
10
00
00
10
00
10
11
10
00
00
00
10
10
00
00
00
10
00
01
11
10
00
01
10
01
01
11
10
00
00
00
11
00
10
11
10
00
10
10
00
10
10
10
10
10
00
00
01
01
10
01
00
10
11
01
10
10
11
00
11
00
00
11
00
01
11
10
10
10
00
10
10
01
00
01
11
11
10
00
00
01
10
01
00
10
10
11
10
01
00
01
00
10
10
00
00
00
01
10
10
10
10
00
00
10
00
10
11
00
01
00
10
01
00
10
10
01
00
01
10
10
10
00
01
01
00
11
01
10
01
00
10
10
11
00
01
11
01
11
11
00
00
10
10
01
00
11
10
10
10
11
01
10
00
00
00
01
11
10
01
10
00
00
00
00
00
11
10
10
00
10
10
00
10
10
10
11
00
10
00
10
01
01
11
01
00
00
10
00
00
10
11
10
00
00
11
10
00
00
01
10
11
11
11
11
10
00
10
10
00
00
10
10
01
00
10
10
00
01
01
10
00
11
11
11
01
00
10
10
01
00
10
00
00
10
00
00
10
00
10
00
10
00
00
00
10
00
01
10
10
01
10
11
00
10
10
00
10
10
00
00
00
01
01
10
10
10
00
00
01
10
10
10
00
10
11
11
00
01
11
10
11
00
11
00
00
11
10
10
11
00
00
11
10
00
00
01
01
00
00
10
10
11
10
00
00
01
10
11
11
10
01
01
11
00
01
10
11
00
10
00
00
10
11
10
01
00
10
00
10
10
10
00
10
10
10
01
10
00
00
00
00
10
10
01
00
10
00
01
01
01
10
01
01
11
11
10
10
00
10
11
10
00
11
00
00
00
00
00
00
10
10
00
01
00
00
10
11
01
10
11
11
10
00
00
01
10
00
00
10
10
00
01
11
00
10
00
00
10
10
00
10
10
01
10
10
10
10
11
00
01
00
10
10
00
11
00
11
01
01
00
00
00
11
10
10
00
11
01
10
10
00
00
11
00
10
10
01
01
11
00
00
11
00
01
10
11
00
00
10
01
01
10
00
01
10
00
10
00
10
11
11
10
11
00
10
01
11
10
00
10
01
10
00
00
01
00
11
00
11
11
10
10
00
10
00
00
10
00
01
10
10
11
00
11
11
00
00
01
10
00
01
10
11
00
01
10
00
01
11
01
00
01
10
10
10
10
00
00
10
10
01
00
01
00
10
00
00
00
10
01
00
10
00
10
10
10
00
10
00
11
00
10
10
00
01
01
10
10
00
00
10
10
00
01
11
01
00
01
00
00
00
10
10
01
00
11
11
00
00
10
10
10
00
10
01
00
11
11
10
10
01
11
10
10
00
10
10
00
10
10
00
10
00
00
11
00
01
00
01
01
01
11
10
00
00
00
11
11
01
00
11
11
00
01
11
10
00
10
11
10
00
10
10
00
11
01
00
10
01
01
10
00
10
00
10
10
00
01
00
11
00
11
11
00
10
10
01
00
10
10
11
10
01
10
00
00
10
00
11
10
00
10
00
01
11
01
10
00
01
00
00
10
00
10
11
00
10
01
01
00
01
10
00
01
00
10
11
11
10
01
00
01
10
10
00
00
00
10
11
00
10
00
01
01
01
00
11
11
00
01
00
10
10
01
01
00
00
10
00
11
11
10
01
00
10
00
01
10
01
10
10
01
00
01
00
10
00
11
10
10
01
00
11
01
10
11
11
01
11
00
01
00
01
10
11
00
10
11
00
10
10
01
01
10
01
11
00
10
10
01
00
00
10
10
01
10
11
11
10
10
10
00
01
00
10
10
00
00
10
11
00
00
10
11
10
00
10
10
10
01
00
00
10
00
11
11
10
00
10
10
10
00
01
01
10
10
10
11
11
10
00
10
00
10
00
00
11
01
00
10
10
00
00
11
11
11
01
10
11
00
10
11
00
00
00
01
10
01
00
11
01
00
00
10
10
00
10
01
00
00
10
11
11
01
10
00
01
11
10
10
00
10
10
00
11
11
10
00
00
10
10
00
00
10
10
01
11
10
11
10
01
11
10
00
00
00
11
10
00
11
01
11
00
11
11
00
10
00
10
10
00
00
00
10
11
11
10
00
00
10
00
11
10
11
01
10
00
01
10
01
10
00
00
10
11
10
10
00
00
00
10
10
00
10
10
10
10
10
10
10
00
00
00
00
00
00
10
11
00
11
00
00
10
10
00
01
01
10
00
01
00
10
01
00
00
10
11
00
11
11
11
10
00
01
10
11
00
01
10
10
00
10
01
00
00
00
11
01
00
10
00
01
01
11
10
10
10
10
00
10
00
00
00
11
00
00
01
01
11
10
10
11
00
10
10
00
11
11
00
00
00
10
00
10
11
00
01
10
11
11
01
10
00
01
11
01
00
10
11
10
11
00
00
10
01
10
10
01
10
00
10
10
01
10
00
00
00
01
00
01
11
00
01
10
00
11
01
00
10
10
00
11
00
10
00
00
01
01
10
10
10
11
11
11
01
00
00
00
01
11
11
00
01
00
11
10
10
00
01
11
11
10
00
10
10
01
00
10
10
11
11
11
11
00
11
11
00
11
01
01
11
10
00
00
10
10
00
01
11
11
00
10
00
10
10
00
11
10
11
11
01
10
01
10
00
00
11
00
00
10
10
10
00
01
11
00
00
00
01
01
11
01
10
10
10
00
10
00
10
11
11
01
00
00
01
00
00
11
10
01
00
00
10
00
00
01
00
10
10
00
01
10
01
00
11
10
10
11
10
10
00
00
11
00
10
00
00
00
00
10
01
00
10
10
00
01
10
01
11
10
10
10
00
00
10
11
01
00
10
00
00
01
00
01
10
11
00
01
00
00
10
10
10
00
00
11
01
00
00
10
00
00
10
00
11
10
00
10
01
00
00
10
00
00
00
10
10
10
10
11
00
10
01
01
10
00
00
00
10
01
10
10
01
10
11
11
00
10
10
00
10
00
00
10
10
01
10
00
00
00
11
00
11
11
11
00
00
00
10
00
00
11
10
00
10
10
00
01
01
00
00
00
10
00
10
00
01
10
11
01
01
10
10
00
00
00
10
11
00
01
00
10
10
10
11
01
11
10
11
10
00
10
01
00
10
01
10
10
11
10
00
10
10
11
00
10
10
01
10
11
00
10
11
10
11
00
00
00
00
01
00
11
10
10
01
11
11
00
00
10
00
00
00
10
11
01
10
10
10
01
10
00
01
10
11
10
10
00
00
01
10
11
00
11
00
00
11
10
10
00
10
11
00
00
01
01
01
00
10
00
11
01
10
00
00
00
00
00
10
01
10
10
01
00
01
00
01
10
10
00
00
00
10
11
01
01
10
00
01
00
00
01
10
11
10
11
11
00
00
00
01
10
10
11
00
00
10
00
00
00
01
11
01
00
10
00
10
10
10
11
00
00
00
11
10
00
11
10
10
00
01
01
11
10
00
00
01
10
11
00
00
10
10
00
00
00
11
00
10
10
00
00
00
00
11
00
10
11
00
10
10
11
10
00
10
00
00
10
10
00
01
11
10
10
00
10
10
11
01
10
10
00
01
11
00
10
10
00
11
11
00
10
11
00
10
10
00
01
11
10
00
11
11
11
01
11
10
10
00
00
00
10
10
00
11
10
10
11
00
10
10
00
00
10
10
01
00
11
10
10
10
01
01
10
00
00
10
00
10
00
10
00
10
01
00
00
10
01
10
00
00
10
10
11
00
01
00
11
10
00
10
10
10
10
01
00
01
00
00
00
10
10
10
01
00
10
10
00
10
00
00
10
00
01
00
10
01
10
01
00
10
00
11
10
00
00
11
10
11
10
10
10
11
11
01
10
11
10
00
00
01
00
11
10
01
00
10
00
10
11
10
11
00
11
00
01
10
00
00
00
11
11
10
10
10
00
10
00
11
11
00
11
00
00
00
10
00
00
11
01
00
00
10
10
00
10
01
11
11
01
10
10
01
11
11
00
01
11
01
01
00
00
11
10
00
00
10
10
01
00
11
00
00
00
10
00
00
10
11
01
01
11
10
00
00
10
10
11
00
10
01
00
10
10
11
01
11
10
00
00
11
01
00
10
10
00
11
10
00
00
00
00
01
00
10
10
00
11
11
00
11
11
00
01
00
10
01
01
10
00
10
00
11
01
01
10
10
00
10
00
10
00
00
00
00
01
11
10
11
00
01
10
00
00
10
11
10
00
00
10
11
01
00
10
00
10
10
00
10
01
10
01
10
01
01
00
00
00
00
10
10
11
00
00
10
10
00
10
11
11
10
00
11
11
11
10
10
10
10
00
00
11
11
00
10
00
10
00
00
00
01
00
11
00
01
10
10
01
00
00
11
10
00
11
00
00
00
00
00
01
10
01
01
11
11
01
00
11
10
00
01
10
10
01
01
11
01
10
10
10
01
00
01
10
11
01
10
10
00
11
10
10
00
10
00
10
00
11
01
00
01
00
10
00
01
10
00
00
10
00
01
00
10
01
00
10
10
10
01
01
11
00
11
10
01
00
00
10
10
10
00
00
10
00
00
00
00
10
10
10
01
10
01
00
10
01
01
00
00
10
11
10
00
00
00
00
00
11
11
10
11
01
11
11
00
11
10
00
01
10
00
00
11
10
00
00
00
10
10
11
10
00
10
11
10
01
00
00
00
11
11
00
00
10
01
10
01
10
10
11
00
00
01
00
00
00
00
10
01
00
10
00
01
00
10
01
10
10
01
10
01
00
10
10
00
11
00
00
10
00
01
11
10
00
10
00
01
00
11
10
10
10
01
00
10
10
01
00
10
01
11
00
11
10
10
01
00
01
11
00
10
10
01
01
00
00
00
00
10
10
10
10
00
00
10
01
00
00
00
00
11
00
00
01
10
11
10
00
10
00
01
10
00
00
11
10
10
00
00
00
11
10
11
10
01
01
01
10
00
00
10
00
01
10
10
11
10
00
10
01
01
10
10
00
10
01
00
11
10
01
01
10
01
00
01
10
01
00
01
11
10
11
00
10
10
10
01
11
01
10
00
10
10
11
00
11
11
01
10
10
10
01
00
10
10
10
00
10
10
00
01
01
10
10
01
10
01
10
10
00
01
01
01
01
10
00
00
10
10
01
00
11
00
10
01
01
00
10
01
01
10
00
00
10
00
00
00
01
10
11
11
11
00
00
10
10
00
10
00
00
10
11
00
00
11
10
10
00
10
11
00
01
10
10
01
11
10
01
11
00
01
10
11
00
00
10
01
00
11
00
01
10
10
00
10
00
01
00
11
10
11
00
11
01
00
11
10
00
11
00
00
10
11
00
00
10
10
11
01
10
00
01
10
11
11
01
10
11
00
00
00
10
10
01
11
10
01
01
00
00
00
10
01
01
11
10
01
00
11
10
01
10
10
11
00
01
10
01
10
10
00
11
10
01
00
10
00
10
00
10
00
01
10
01
11
00
10
10
10
01
00
10
11
11
10
01
11
00
01
00
00
10
11
00
01
10
11
00
11
11
00
10
00
00
00
01
10
10
00
10
00
00
10
10
01
01
00
00
10
01
00
11
01
00
10
11
00
00
00
11
10
00
10
10
00
00
00
00
01
10
10
00
11
01
01
00
10
01
00
00
10
00
01
00
00
10
00
00
01
01
11
10
11
10
00
10
10
01
10
00
00
10
11
00
00
11
00
01
10
00
10
00
01
10
01
00
10
00
00
10
10
10
00
10
10
00
10
00
00
00
00
11
11
11
10
00
00
00
01
10
11
00
01
00
10
00
01
00
11
10
00
00
00
00
10
10
00
11
10
10
01
00
10
10
00
10
11
00
11
00
00
10
10
10
10
10
00
10
00
00
11
10
10
11
00
11
00
01
00
00
01
00
10
00
10
10
11
00
00
11
00
10
10
00
01
01
10
10
10
10
11
11
10
01
01
01
10
10
00
11
00
00
11
11
01
00
01
01
00
10
00
00
11
11
11
10
11
00
00
00
10
10
01
00
10
00
10
10
11
01
01
10
00
10
00
01
10
00
10
11
10
00
10
11
11
10
00
10
10
01
10
10
01
10
11
11
00
10
10
01
11
11
11
00
10
10
00
10
00
10
10
00
01
00
10
10
10
00
00
11
10
00
10
11
10
00
10
00
00
00
00
00
00
01
10
10
11
10
11
00
00
00
10
10
01
00
11
11
01
00
00
01
10
01
00
01
10
11
00
11
01
00
10
10
00
11
01
00
01
01
11
11
00
10
11
00
00
01
10
10
10
11
00
11
10
00
01
11
00
01
00
10
11
11
00
00
01
11
11
01
00
01
10
00
00
10
10
00
01
10
00
10
01
11
10
11
11
10
00
01
00
00
10
00
10
10
01
00
10
10
00
10
11
00
00
00
10
11
10
11
00
00
10
00
11
00
10
01
11
10
10
00
10
00
10
11
00
00
00
00
10
11
00
10
01
00
00
00
00
10
00
00
10
11
00
00
00
00
10
10
01
00
10
01
11
11
11
00
00
00
10
01
11
01
01
10
11
10
00
10
10
00
10
11
00
10
00
10
10
10
00
11
10
11
00
11
10
00
00
10
00
01
01
00
10
11
01
00
00
11
00
00
10
11
10
00
00
00
10
10
11
11
11
00
11
00
01
00
11
01
11
11
10
00
00
00
00
10
11
00
01
11
11
00
10
01
00
00
11
01
00
00
00
00
10
00
11
01
01
00
01
10
01
11
11
01
01
11
00
11
10
10
10
11
00
01
00
10
00
10
00
00
10
00
11
10
10
00
00
01
10
00
00
10
01
10
01
00
11
00
01
00
11
10
00
10
11
00
10
10
00
10
00
00
11
00
00
10
10
10
00
00
11
01
00
11
00
01
11
00
01
10
00
00
10
10
10
10
00
00
10
10
10
00
01
10
00
00
10
10
11
10
00
10
00
00
10
11
00
10
10
10
00
10
10
00
10
01
10
11
11
10
00
01
10
10
00
00
10
10
00
01
00
10
11
00
00
01
11
01
00
00
11
11
00
10
00
00
10
10
01
01
10
10
01
11
10
01
10
00
00
11
10
10
10
00
10
01
01
01
00
01
00
11
10
00
11
11
11
01
10
10
00
00
11
10
00
00
11
10
10
10
10
00
00
00
10
10
01
00
11
00
00
11
01
10
10
10
01
00
00
00
10
00
10
10
00
00
00
11
01
01
10
00
00
10
10
00
11
11
11
00
00
11
01
11
00
00
00
00
00
01
10
11
01
01
11
00
10
10
01
01
11
11
00
10
10
01
00
10
10
01
01
10
00
00
00
10
00
00
10
01
00
11
01
10
01
00
00
00
10
10
00
00
10
01
01
10
11
00
10
10
01
10
10
00
01
11
11
00
10
10
01
10
10
00
00
10
11
10
00
00
10
10
10
10
00
00
10
11
00
10
00
11
00
11
00
11
00
11
01
00
11
11
10
00
01
10
10
00
00
00
10
10
10
01
01
11
10
00
11
11
11
11
00
01
10
00
00
01
10
00
10
11
10
10
01
10
00
00
01
01
01
10
10
01
10
00
00
10
10
00
01
00
10
00
10
00
00
00
01
01
11
01
11
10
11
00
11
00
00
10
11
10
01
00
11
11
00
10
00
10
01
00
11
01
00
10
10
11
10
11
01
10
01
11
00
01
00
00
11
00
00
11
10
01
00
00
10
11
11
11
10
00
01
00
01
00
10
10
00
01
00
10
10
10
01
10
11
10
10
11
10
10
11
10
00
01
10
00
01
11
11
01
00
10
00
01
00
00
10
11
00
11
10
00
11
11
10
10
11
10
00
10
00
00
10
10
11
01
00
00
10
10
10
10
00
11
10
11
10
00
11
00
00
00
01
10
01
00
10
01
10
10
00
10
10
11
10
00
00
10
10
10
11
10
01
10
10
00
00
11
11
00
01
00
00
00
10
11
00
10
11
00
00
00
10
01
00
10
10
11
01
00
01
10
10
10
01
00
10
10
01
11
10
00
11
10
10
00
00
00
11
11
00
11
11
11
00
10
10
01
10
10
01
01
10
10
11
00
00
01
10
11
10
00
00
10
10
00
11
10
10
00
10
11
10
00
01
11
10
01
00
10
10
01
00
10
10
01
10
10
10
00
00
10
10
00
11
10
10
10
10
00
10
10
00
10
10
11
11
10
00
10
01
11
11
00
01
10
01
10
11
01
11
00
01
00
10
10
11
00
00
00
10
10
11
10
10
00
01
11
11
01
10
00
10
01
00
01
10
10
01
10
11
10
10
01
00
01
10
01
00
00
11
10
10
00
00
11
00
01
10
00
00
00
00
11
00
00
10
00
10
10
10
01
00
10
00
00
10
00
10
10
10
00
00
00
01
01
10
00
00
01
11
10
11
11
11
00
00
10
10
10
00
01
11
01
11
00
10
00
01
00
11
10
10
00
00
00
10
10
00
01
11
11
00
10
10
00
10
10
10
00
00
10
00
10
00
01
11
00
00
10
11
00
00
10
11
00
00
00
00
11
10
00
10
11
00
01
00
11
00
11
00
10
10
00
01
01
10
11
10
00
01
10
11
00
11
00
10
00
11
11
00
11
01
10
01
10
00
01
01
10
10
10
00
10
00
10
11
11
11
00
00
01
00
10
10
01
00
10
00
11
01
01
11
11
10
01
00
10
00
00
10
10
10
00
10
00
10
00
00
00
00
00
10
10
00
10
01
10
10
00
10
10
01
10
10
00
11
10
00
00
01
11
00
01
11
11
11
10
00
00
10
10
11
00
00
00
10
10
11
00
00
01
00
11
00
01
10
11
00
10
11
00
00
10
00
01
00
10
00
10
10
01
11
00
10
10
01
11
10
01
10
11
01
11
11
10
01
00
11
10
01
00
10
11
00
10
10
10
01
01
10
10
11
01
00
11
01
00
11
10
00
01
00
11
00
10
11
10
00
00
11
11
01
11
01
10
11
00
00
01
11
10
10
10
10
01
11
00
00
01
11
11
00
00
00
11
01
00
10
11
00
10
10
10
00
10
00
00
10
00
10
10
00
00
00
11
10
10
01
01
11
11
00
00
11
00
01
10
10
01
10
11
10
00
00
00
10
00
11
00
11
01
00
10
01
00
00
00
10
00
10
00
00
10
11
00
00
00
10
11
00
00
00
10
10
00
10
01
10
11
10
01
01
00
01
10
11
01
11
11
01
00
11
00
00
00
10
11
00
00
00
01
10
01
00
00
11
10
00
01
10
11
10
11
00
10
00
10
10
01
00
11
10
00
01
01
00
11
11
00
01
01
11
10
00
01
10
00
01
11
10
00
11
10
10
10
00
00
10
01
10
01
01
11
11
10
11
11
10
01
10
11
00
10
00
00
11
10
00
00
00
00
11
00
00
10
11
10
11
00
00
00
00
10
10
10
01
00
10
00
00
00
00
11
10
01
10
10
00
00
11
00
00
10
00
01
00
11
10
10
00
10
11
00
01
10
10
01
00
11
00
10
10
11
01
00
10
10
10
10
10
11
00
00
11
00
00
01
00
10
10
10
00
00
00
11
00
00
10
11
00
00
01
10
11
10
10
00
00
10
10
00
00
10
11
00
10
00
00
00
00
10
01
01
10
01
00
10
11
11
00
10
00
10
10
10
11
00
11
10
11
00
10
10
01
00
10
00
00
10
11
11
00
00
11
00
11
01
01
11
10
10
10
11
00
10
00
01
00
11
00
00
10
11
10
00
10
10
01
00
11
10
00
11
01
11
10
01
01
11
11
10
10
01
00
01
00
10
00
00
11
10
10
10
00
00
10
11
00
10
10
01
01
10
10
10
00
01
11
10
00
00
10
10
00
00
00
10
10
00
10
00
10
10
01
01
11
00
11
10
00
01
11
00
00
01
10
10
10
11
00
00
00
11
00
00
01
01
10
00
10
10
10
10
00
00
10
10
00
01
11
10
10
10
10
10
10
00
11
10
01
11
00
00
00
11
01
10
11
00
00
10
00
00
10
00
00
00
10
10
00
01
11
00
10
11
00
10
01
00
10
10
00
10
01
10
01
01
01
00
01
00
11
01
01
00
10
00
10
10
10
01
00
10
01
00
10
10
00
10
00
10
11
01
00
00
10
01
10
00
00
10
10
01
10
11
00
00
10
11
00
00
01
00
00
11
00
11
00
00
11
00
01
11
01
11
01
00
01
00
11
10
10
00
11
01
00
10
10
10
10
01
01
01
10
10
00
11
01
01
11
10
00
00
00
01
10
00
00
11
11
10
10
01
10
10
11
00
00
10
00
00
00
00
10
00
10
00
10
00
01
00
11
10
10
10
10
10
01
01
11
10
01
00
01
10
01
11
10
01
00
10
10
11
00
00
10
10
10
00
00
11
10
00
01
10
01
00
01
00
01
11
10
00
01
10
11
10
10
10
10
01
10
11
00
01
11
01
00
00
01
10
01
00
01
10
10
00
10
10
01
00
00
00
10
10
10
10
10
10
01
01
00
01
10
00
00
10
00
10
10
01
10
00
01
00
10
01
10
10
10
01
11
01
00
10
00
00
11
00
01
00
10
10
11
10
10
00
11
00
01
01
01
10
11
10
01
00
10
11
00
11
00
00
10
10
10
10
10
10
00
10
11
11
00
11
10
00
00
00
00
11
10
00
11
10
10
10
00
10
00
10
10
11
00
00
00
11
01
10
10
01
00
01
01
01
10
11
00
11
01
00
11
10
10
00
10
00
11
10
01
10
01
11
00
01
10
10
01
00
00
01
00
10
00
11
10
01
10
10
01
00
10
00
10
11
00
01
01
00
10
11
11
01
10
11
00
00
10
10
00
11
10
00
10
10
00
00
10
11
00
01
10
11
10
11
10
10
00
11
10
10
10
10
00
00
11
00
01
01
10
00
10
00
01
10
10
01
10
10
00
10
10
10
10
00
10
00
00
10
00
10
01
00
00
10
10
10
10
00
11
00
01
00
01
10
11
10
10
10
01
10
01
00
10
00
10
10
00
00
11
00
10
10
00
10
00
10
00
01
10
10
01
00
11
00
10
00
01
11
10
00
00
00
00
11
10
01
00
00
00
10
00
00
10
10
10
00
10
00
11
00
01
11
10
01
01
00
00
00
00
01
10
10
10
01
11
11
11
00
01
11
00
10
10
01
00
00
11
11
01
10
10
00
00
10
10
00
00
11
10
10
00
11
01
00
00
00
11
10
01
11
00
00
10
00
10
01
10
10
00
00
00
10
11
00
01
00
00
10
10
00
10
10
11
10
00
11
00
00
00
10
01
11
01
00
00
00
10
10
11
00
10
01
00
10
00
00
10
01
01
11
00
00
10
11
11
01
00
00
00
11
00
10
00
00
01
01
11
10
11
00
00
00
10
11
10
00
00
00
10
00
01
00
10
01
00
00
10
10
10
01
00
10
10
00
00
10
10
01
00
10
00
11
10
11
01
00
01
10
11
00
11
11
11
11
00
11
11
00
00
01
10
10
10
00
01
11
11
00
10
10
01
10
01
00
10
01
01
00
11
10
11
00
00
10
01
10
00
01
10
11
01
00
00
00
00
11
10
11
10
11
11
10
00
01
00
11
11
01
01
10
10
10
00
00
11
10
01
00
01
00
00
01
10
00
11
10
00
00
01
00
00
00
10
10
00
10
00
10
10
00
01
00
11
10
01
10
01
01
11
10
00
00
11
10
01
00
10
10
01
01
10
11
01
01
11
00
01
11
10
00
10
10
10
00
00
00
10
11
00
11
10
00
10
10
00
10
01
00
00
11
10
00
01
00
10
00
01
01
00
11
00
00
10
10
10
10
11
00
00
11
10
10
10
01
10
01
00
11
10
00
10
10
10
11
11
01
11
11
00
10
10
00
00
10
10
10
00
00
11
10
10
11
01
10
10
01
00
10
10
00
00
10
00
00
10
00
01
11
10
11
00
01
00
10
01
01
01
10
11
10
11
10
01
00
11
10
01
11
00
01
10
10
01
00
10
11
10
00
10
10
00
10
11
00
11
10
00
00
10
00
00
01
10
10
10
00
11
00
00
01
01
00
00
01
10
10
01
10
10
11
01
00
00
11
11
00
01
01
00
10
01
10
10
10
10
00
00
00
11
00
00
00
10
00
00
00
11
01
01
01
10
01
00
10
10
10
00
00
01
10
11
00
10
00
00
00
00
11
10
01
10
00
10
00
01
11
00
00
00
00
10
11
00
00
11
10
00
00
00
10
00
11
11
01
01
00
01
00
00
11
10
10
00
00
11
11
00
00
00
00
00
10
11
10
01
01
10
10
10
00
00
00
10
00
10
10
10
10
00
00
00
00
00
00
01
10
11
10
11
01
01
11
10
11
11
00
00
10
00
01
10
01
11
01
11
00
01
10
00
11
00
00
10
00
10
10
00
10
00
10
00
10
10
00
11
00
10
00
01
10
01
01
11
00
01
10
11
00
01
11
11
00
00
01
10
01
00
10
11
10
10
00
11
10
01
00
00
10
10
10
01
00
10
10
11
01
01
10
10
00
10
00
00
10
10
10
10
00
10
11
00
00
11
01
00
00
01
10
01
11
10
10
00
10
10
00
00
00
00
10
00
00
00
10
10
10
01
10
10
11
10
10
10
10
00
00
10
00
10
11
10
10
10
11
10
01
10
01
00
10
00
10
00
00
10
00
11
10
10
10
00
00
11
00
11
00
10
10
01
10
01
10
10
10
11
11
10
10
00
11
01
00
10
01
10
00
10
11
11
00
00
11
11
10
00
11
10
00
00
10
00
01
00
11
10
00
10
10
10
00
00
11
01
10
10
00
10
00
11
00
11
00
00
00
10
10
10
10
01
00
11
10
00
00
11
00
01
10
00
10
11
10
10
10
00
00
01
00
11
10
10
01
10
10
00
00
10
10
00
10
10
00
00
01
01
10
01
10
00
11
10
01
00
10
00
10
10
00
01
11
01
11
10
11
10
00
10
01
01
11
11
00
10
00
00
10
10
00
00
00
10
00
01
01
01
11
00
01
10
11
01
00
00
10
00
11
00
00
00
00
01
00
00
01
10
11
10
00
00
10
10
10
10
01
00
10
01
01
11
10
10
10
10
10
11
00
00
01
10
11
01
10
11
01
10
00
10
00
10
11
01
10
10
00
01
00
01
10
01
11
11
11
00
11
11
11
11
01
00
11
11
11
00
00
10
11
00
00
11
01
00
10
10
10
00
00
11
01
11
10
00
00
00
11
01
01
10
10
00
00
00
00
10
10
00
01
01
00
00
11
10
00
00
10
01
00
00
00
00
10
00
10
00
00
10
00
10
00
10
10
10
10
10
11
00
01
01
10
10
00
00
00
01
10
10
01
01
10
00
00
01
10
11
01
10
10
00
00
11
10
00
10
00
10
11
01
00
10
01
11
10
00
10
10
10
00
11
00
00
11
10
00
00
01
11
00
10
10
11
10
00
01
10
00
11
10
10
11
10
01
11
10
11
01
10
10
00
01
10
10
11
01
00
10
00
01
11
10
00
01
00
10
10
01
11
11
10
11
10
01
00
01
10
10
10
00
11
10
00
01
10
11
11
10
01
10
00
01
01
10
10
01
00
00
10
10
10
11
10
01
10
01
01
10
11
10
11
00
01
10
01
10
00
11
00
01
10
10
00
00
10
01
10
10
10
01
00
10
10
10
11
00
10
00
10
11
10
10
00
10
11
00
11
10
00
00
11
01
00
00
11
11
11
11
00
00
10
10
11
11
00
00
11
11
00
10
00
00
11
01
10
11
11
01
10
00
11
10
10
11
01
11
10
10
11
01
01
10
01
01
10
11
00
10
10
00
11
11
01
00
01
00
10
11
00
00
00
11
11
11
00
00
01
10
11
10
10
00
00
10
10
10
10
10
00
01
10
00
11
01
10
10
11
01
00
00
00
10
00
00
10
00
10
00
01
10
11
00
00
01
10
11
11
10
00
10
10
00
00
10
11
11
10
00
11
10
11
11
00
00
11
10
00
00
10
00
00
10
11
00
01
00
11
00
00
10
10
00
00
00
10
01
00
10
00
10
00
10
00
01
11
00
10
10
00
00
11
10
01
10
11
01
01
01
01
00
10
00
10
11
01
00
10
00
00
10
01
11
01
00
00
00
00
10
10
00
00
10
10
00
11
10
00
11
11
00
00
11
00
10
10
01
10
10
00
10
00
10
00
00
10
11
10
10
11
10
00
01
00
10
01
10
11
00
01
00
00
01
00
10
10
11
11
00
10
10
10
10
01
00
11
10
01
00
10
01
01
10
10
00
00
10
11
10
00
10
00
10
11
00
01
01
10
10
10
10
01
10
10
10
11
10
01
01
01
01
11
10
10
01
00
00
00
11
01
10
01
10
10
00
10
10
00
01
00
00
11
00
00
00
10
10
00
10
10
00
00
01
01
00
00
00
10
00
01
10
11
01
00
01
00
01
10
10
01
11
11
01
00
10
10
01
01
11
11
00
00
10
10
00
00
10
00
10
11
00
10
11
11
10
00
10
11
11
10
00
00
10
01
00
11
11
11
00
00
00
11
01
10
10
00
10
01
01
11
10
01
10
00
01
10
11
10
00
11
00
00
10
10
00
10
10
00
00
10
00
10
10
00
01
00
10
01
10
01
10
00
10
00
00
10
10
01
00
10
11
11
00
01
00
10
11
00
00
10
00
00
00
00
00
11
11
01
10
00
00
00
10
00
01
11
11
00
10
11
10
00
11
00
01
00
01
10
10
00
10
11
00
01
10
11
00
00
00
11
10
00
10
00
00
11
10
10
01
10
11
01
10
11
00
00
00
11
00
01
10
11
10
01
10
11
10
00
10
11
00
00
10
10
00
00
01
00
10
00
11
10
10
10
11
10
01
00
00
10
00
00
00
00
01
10
11
00
00
10
01
10
01
11
11
10
10
10
01
01
10
00
00
00
11
10
11
10
11
00
00
10
10
10
00
01
10
01
10
00
00
10
01
11
00
10
11
10
00
00
11
00
01
11
00
01
11
10
01
01
10
11
10
00
11
00
00
10
11
11
00
10
11
00
00
11
10
01
00
11
10
10
01
00
01
00
10
10
00
10
01
10
10
00
01
11
10
10
01
10
00
11
10
00
01
00
00
00
10
00
00
10
01
00
01
11
10
10
10
00
00
11
00
00
00
00
11
11
11
10
11
10
01
11
00
00
10
00
01
00
01
10
10
10
00
00
10
00
10
01
00
10
00
00
11
10
11
10
00
10
10
00
10
00
01
10
10
10
00
00
00
11
10
10
01
10
10
00
00
10
00
10
01
01
10
11
00
10
10
00
11
00
10
10
00
01
00
01
00
11
11
00
11
00
11
00
01
11
11
01
00
10
11
00
00
00
10
10
00
01
11
10
10
00
00
11
10
11
01
00
00
00
01
10
01
00
10
00
11
11
00
00
10
00
00
10
00
00
11
11
10
01
10
00
00
11
11
00
00
10
10
00
10
01
00
00
00
01
00
10
11
00
11
10
10
00
00
01
10
10
01
11
10
10
10
00
00
01
10
10
11
00
01
01
10
00
10
00
00
11
10
10
11
01
00
10
10
10
10
01
00
01
10
11
01
01
10
01
00
11
01
00
10
11
00
10
10
01
01
00
11
10
11
00
10
10
11
10
01
10
00
01
10
00
11
10
00
11
10
01
10
10
00
00
00
10
11
00
01
10
01
00
10
11
10
00
10
00
00
01
00
10
00
00
10
10
10
00
00
10
10
11
10
00
10
10
00
00
10
00
00
00
11
10
11
01
00
00
00
01
10
10
01
10
10
00
10
10
10
00
00
11
00
10
11
00
10
11
11
10
10
11
00
00
11
11
00
11
01
00
00
10
11
00
10
01
01
00
10
10
10
10
00
00
00
10
00
10
10
00
00
10
11
01
11
00
01
11
10
01
10
11
00
01
01
10
10
11
00
00
10
10
00
00
10
10
01
11
10
11
10
11
00
10
00
00
01
01
00
10
11
11
10
10
00
00
00
00
00
11
11
01
10
00
00
10
11
01
11
01
00
10
11
00
00
10
10
01
11
10
11
11
01
11
10
00
01
01
01
10
11
00
10
10
10
10
00
00
10
10
10
01
00
10
11
10
00
00
11
01
10
10
00
00
01
00
10
10
11
10
11
11
00
00
10
01
11
10
00
00
00
00
01
11
10
01
10
11
01
01
00
10
10
00
10
10
01
00
00
11
00
01
10
10
11
11
00
11
00
01
10
00
00
11
10
00
00
11
00
11
00
11
10
00
10
10
00
01
10
11
00
00
00
11
11
10
11
00
00
11
01
01
10
11
10
01
01
00
00
10
00
00
01
10
00
00
10
00
10
10
11
00
11
10
10
10
00
00
10
10
00
10
10
10
11
10
10
00
10
10
00
11
00
00
00
10
10
10
00
10
11
01
01
10
10
10
01
11
01
00
10
01
00
11
10
00
00
01
00
10
00
10
10
00
10
01
00
11
10
00
11
11
00
10
10
11
01
10
10
10
00
00
00
00
11
01
00
11
10
01
01
10
01
10
10
00
00
11
10
00
00
11
11
10
11
00
00
10
00
01
01
01
10
01
11
01
10
11
01
10
00
00
10
11
10
10
10
00
11
10
00
10
00
01
11
10
01
10
10
10
00
01
10
10
00
00
10
10
00
10
10
00
10
01
01
10
11
10
01
10
10
01
00
10
10
10
00
10
10
11
10
01
01
00
10
00
00
11
00
11
11
00
11
00
11
00
00
10
00
10
10
01
00
00
00
01
01
10
10
00
11
11
00
10
10
11
11
00
10
00
11
11
01
01
00
00
00
00
11
10
11
01
00
00
00
00
01
00
10
11
10
11
11
00
11
10
00
10
11
01
00
00
00
11
01
11
10
00
00
10
00
11
11
00
10
01
00
00
00
11
10
01
01
00
00
01
10
00
10
01
10
10
01
11
01
10
00
00
00
00
00
10
10
10
00
00
00
00
10
11
10
00
10
11
00
00
10
11
00
01
00
00
00
01
01
00
10
10
00
00
11
01
11
10
00
10
01
11
10
00
10
00
00
00
00
01
01
01
11
11
11
11
10
00
10
11
00
00
10
10
10
00
10
11
00
11
01
00
11
10
01
00
10
10
00
00
10
11
00
11
10
10
10
10
00
00
01
10
10
00
11
00
11
00
00
00
00
10
10
11
01
10
01
11
10
10
01
00
11
10
01
00
00
00
10
10
01
00
10
11
01
00
10
10
01
00
10
10
11
00
11
10
00
00
10
11
00
00
10
10
01
01
00
01
10
11
10
00
10
10
00
00
10
10
00
11
01
10
01
00
00
11
11
01
10
10
00
11
11
00
10
11
00
10
11
10
01
01
10
00
00
00
10
10
00
10
10
00
10
11
00
10
11
11
00
10
01
10
10
10
00
01
01
01
10
10
00
10
01
10
01
01
10
11
10
10
10
00
01
10
01
10
01
10
00
00
10
10
11
10
10
00
01
11
10
00
00
01
11
01
11
11
00
11
11
01
11
10
11
01
00
11
01
00
10
11
00
11
01
00
00
00
01
11
00
10
10
01
10
01
00
10
01
00
11
10
00
10
00
10
10
00
10
11
00
00
11
00
00
10
00
00
11
10
10
10
00
10
01
01
11
01
00
11
00
00
10
10
00
00
10
10
10
00
11
01
11
00
00
00
00
00
01
00
10
01
00
00
00
00
11
10
01
10
10
01
11
10
00
10
11
01
00
10
10
00
01
10
11
01
01
10
00
10
10
11
00
11
11
00
10
00
00
10
10
00
01
00
10
11
10
10
00
00
10
10
01
11
01
00
10
01
00
10
01
01
01
11
00
00
11
10
00
01
11
10
10
00
10
01
00
00
01
10
11
00
00
00
00
11
10
11
00
11
10
01
10
00
00
11
00
01
00
11
10
10
10
00
10
11
01
00
00
01
11
10
11
10
01
00
10
11
01
01
11
01
00
11
00
10
00
00
10
10
00
11
10
00
11
00
10
00
11
01
00
00
01
11
10
11
10
00
11
11
10
00
10
11
10
11
11
10
01
00
10
10
01
10
01
10
11
01
01
00
01
10
01
11
10
00
10
01
00
11
10
00
01
00
00
11
00
00
11
00
01
10
10
00
11
00
00
10
01
00
10
00
10
00
10
10
00
10
10
00
10
00
10
00
10
00
10
10
11
01
10
01
00
11
10
01
10
01
00
10
01
11
10
00
11
10
00
01
10
10
10
10
00
11
11
11
01
10
00
00
00
10
10
01
10
10
00
10
00
11
10
00
00
10
01
10
10
10
00
11
01
00
10
00
01
01
00
10
11
11
10
01
01
01
11
00
10
10
00
00
01
01
11
10
00
00
11
00
11
10
00
10
11
10
00
11
11
00
00
10
10
10
01
11
00
11
01
10
00
11
10
01
01
00
10
00
10
11
01
00
10
10
00
00
10
10
01
10
00
00
10
01
10
00
10
10
00
10
10
00
00
10
01
00
10
11
00
00
10
10
10
00
10
00
00
10
11
10
11
00
11
10
00
00
10
10
00
00
10
00
00
10
11
00
00
10
10
00
00
11
10
00
10
10
00
01
00
01
00
11
00
11
01
00
00
11
10
10
11
01
01
11
10
00
00
10
10
11
00
00
10
00
01
10
00
11
10
01
01
11
10
10
10
10
01
00
11
10
00
10
00
11
10
01
00
10
01
00
10
00
10
10
01
00
10
00
10
00
00
00
10
00
00
11
10
11
11
00
01
11
10
00
10
10
01
00
11
10
00
00
11
11
00
01
10
10
00
10
11
01
01
10
00
00
00
10
00
11
11
10
10
11
00
01
00
01
11
10
00
00
11
10
00
01
10
10
10
00
00
10
01
10
01
01
11
01
10
01
00
01
10
10
10
00
00
10
10
01
00
11
00
10
10
11
00
01
10
00
00
10
00
11
01
00
01
11
10
01
10
11
00
10
10
10
00
01
00
11
10
11
10
10
11
10
00
00
11
00
11
00
11
00
01
10
11
10
00
00
11
11
00
00
11
10
01
10
00
00
10
01
00
10
10
10
10
11
10
11
11
10
01
01
00
10
01
00
00
00
11
10
11
11
10
11
01
11
00
01
01
01
10
10
00
00
10
10
00
11
11
01
00
10
10
10
00
00
00
11
10
00
10
00
10
01
00
11
10
00
10
01
10
11
10
00
01
10
10
10
01
00
00
00
00
01
10
10
01
00
01
00
00
00
11
10
10
10
00
01
11
00
11
01
11
01
01
10
00
00
10
11
01
00
01
10
01
10
00
00
11
00
00
11
10
10
10
01
10
00
01
10
01
10
00
00
11
10
00
01
10
10
00
01
01
11
00
01
10
10
00
10
10
01
10
00
10
10
01
00
10
00
00
10
11
01
01
10
10
01
10
10
11
00
00
10
11
01
00
11
10
00
10
10
00
10
10
01
11
10
01
00
00
01
11
10
11
10
00
01
11
10
10
00
00
00
00
00
10
00
10
00
00
11
11
10
10
10
01
01
01
00
01
10
11
10
00
01
01
00
11
00
10
00
00
11
01
01
10
00
10
11
01
00
00
11
10
10
10
10
10
10
11
00
11
10
00
01
10
10
01
01
10
01
01
10
01
00
01
00
01
11
10
11
00
11
00
00
01
10
10
00
11
10
00
11
11
00
01
11
00
10
00
01
11
10
00
10
10
00
10
00
11
11
00
01
00
01
10
00
10
00
00
11
11
00
00
00
10
11
10
00
00
01
10
10
00
11
00
00
10
00
00
00
11
01
00
10
00
11
10
00
01
00
01
11
00
11
00
00
11
10
00
01
01
10
00
10
11
10
11
00
01
10
01
11
10
11
00
10
10
10
00
01
01
11
10
11
01
10
10
00
00
11
10
00
10
11
10
10
10
00
11
10
00
00
01
10
10
10
00
10
01
10
11
00
00
11
00
00
11
00
01
00
11
11
00
00
10
10
00
00
10
11
10
00
10
00
01
11
11
10
00
10
00
01
00
10
10
10
00
10
01
00
01
11
01
01
00
00
00
00
10
11
00
00
11
10
10
01
01
10
10
00
00
01
00
10
01
10
10
00
10
01
11
10
11
11
00
11
10
00
10
10
00
10
01
00
10
10
00
01
00
10
11
10
01
01
10
00
01
00
11
11
01
01
10
00
10
10
10
10
00
01
01
01
11
00
11
11
10
01
00
10
00
11
10
00
00
10
01
11
10
00
10
10
00
10
00
11
10
00
10
01
01
10
00
10
11
00
00
00
00
00
01
00
11
10
00
10
00
10
10
00
11
00
00
00
01
00
10
01
10
11
10
00
01
01
00
11
10
10
00
00
10
00
00
10
10
10
00
10
00
01
11
10
01
11
00
00
11
00
00
00
11
00
00
11
10
11
11
10
01
01
00
00
00
11
10
10
10
00
10
00
10
10
00
00
10
01
01
11
00
00
00
11
00
01
11
10
00
11
00
00
10
01
10
10
11
00
00
10
01
10
10
10
01
10
11
11
01
10
11
10
00
01
10
10
10
01
10
01
11
10
01
01
10
11
10
00
00
00
11
01
00
10
10
01
00
00
10
10
01
00
10
10
00
00
00
00
00
11
01
01
10
11
01
00
00
11
10
00
01
11
11
00
10
10
01
10
01
00
11
00
10
10
00
00
11
01
11
00
10
10
00
10
10
00
00
11
00
10
10
01
00
10
10
00
00
00
10
10
00
01
10
00
11
11
01
00
00
10
10
10
01
00
11
11
10
00
00
10
10
10
00
11
00
11
10
00
01
00
10
10
00
01
01
10
10
00
01
01
00
10
00
10
00
00
00
10
10
10
01
00
00
00
00
10
01
00
01
10
00
10
11
10
00
10
10
00
11
10
00
10
10
10
10
10
01
01
10
01
00
11
10
10
01
10
11
10
00
00
01
10
10
10
00
10
00
10
11
00
01
10
00
00
00
10
10
10
00
10
10
01
00
10
11
10
00
11
00
01
01
11
01
11
11
00
11
10
10
01
10
01
01
00
10
01
01
10
10
00
11
10
00
00
11
11
01
00
11
00
01
10
10
11
00
00
10
10
00
00
01
00
10
10
00
01
00
00
10
11
11
10
00
01
00
00
11
11
00
10
11
00
11
10
10
11
10
01
00
01
00
10
01
10
01
11
11
10
00
10
00
00
01
10
10
00
00
00
00
00
10
11
00
00
11
11
01
11
00
01
10
11
00
10
10
00
00
11
00
00
01
10
11
00
01
10
00
11
10
10
01
10
10
11
11
00
00
10
11
10
01
00
11
10
01
11
10
01
00
10
10
00
00
10
10
00
00
10
10
10
00
11
10
11
10
11
00
11
10
00
00
00
11
11
10
00
10
10
01
00
01
10
01
00
00
00
10
11
11
00
00
10
11
01
10
11
00
10
10
00
00
00
10
00
00
00
10
11
00
01
00
00
10
00
00
10
10
00
01
10
10
01
01
11
10
01
01
10
00
00
10
11
00
00
10
00
00
10
10
10
00
00
10
00
00
10
10
00
00
00
11
11
01
00
00
11
10
01
00
10
10
01
10
11
01
01
11
10
00
10
11
00
00
10
00
00
00
00
10
10
00
00
10
10
10
00
10
10
11
00
01
00
00
10
11
10
11
10
01
01
00
00
00
00
11
00
01
10
10
01
10
10
00
00
10
10
10
00
00
00
11
10
00
00
10
00
01
11
00
11
11
11
01
00
10
11
10
10
00
00
11
01
00
10
11
01
10
11
10
01
00
00
00
10
11
00
10
11
00
11
00
00
10
10
00
11
10
00
00
00
00
01
11
00
10
11
10
00
01
11
10
10
10
00
11
10
01
00
00
10
10
00
10
11
10
10
00
00
10
01
00
11
00
10
00
00
00
10
01
00
10
00
00
10
10
10
10
00
01
10
10
10
01
11
01
01
00
01
00
11
11
00
01
10
10
00
10
10
01
00
10
00
01
10
10
10
00
00
00
11
11
11
10
01
10
10
10
10
10
00
00
00
10
01
11
11
00
11
01
00
10
10
00
00
01
11
11
00
10
10
11
11
10
01
00
10
11
01
00
10
11
00
10
00
00
10
10
10
00
10
10
01
00
10
00
01
11
00
00
10
10
10
10
00
00
00
10
00
11
01
00
10
01
01
10
01
11
10
00
00
10
10
10
01
01
00
00
00
00
00
01
00
10
11
10
11
10
10
10
11
00
00
10
10
00
10
10
00
10
10
11
10
10
00
01
11
10
11
00
11
10
00
00
01
00
10
10
00
10
10
00
11
00
01
01
10
01
00
10
10
00
00
11
00
01
00
10
10
01
00
00
10
11
01
10
00
01
00
11
01
11
10
00
00
00
00
11
11
01
11
00
10
10
10
11
11
00
00
00
10
00
10
10
11
00
11
00
00
00
00
10
00
00
10
10
10
00
00
00
11
11
11
00
00
00
11
01
10
10
01
00
11
10
00
01
10
00
01
11
10
00
01
10
01
11
01
10
00
01
01
10
10
01
00
10
10
00
00
10
11
10
00
01
00
00
00
00
00
01
11
11
10
10
10
00
00
10
11
00
00
10
00
00
10
11
00
10
10
11
10
10
10
10
11
11
00
11
00
00
00
11
01
11
10
00
00
00
01
01
10
10
01
01
11
00
00
10
10
00
10
10
00
00
11
10
00
10
11
00
10
11
01
01
01
10
11
11
11
01
10
00
01
10
01
10
10
00
00
11
10
01
00
11
00
11
01
11
00
00
10
10
10
00
10
01
00
00
11
00
10
10
01
11
00
01
10
10
01
10
10
01
11
00
11
00
10
00
00
10
01
00
01
11
10
01
01
11
00
10
11
00
10
10
00
01
00
00
10
00
00
00
11
10
00
00
10
10
10
10
00
00
10
00
00
00
01
10
10
11
10
10
10
00
00
10
10
01
00
00
10
00
10
01
10
10
01
11
10
00
01
11
10
00
10
10
10
10
10
01
10
10
00
01
10
01
10
00
10
00
10
11
00
01
10
10
01
00
00
11
11
00
10
11
11
01
01
01
10
01
10
10
00
00
11
10
00
11
00
10
11
11
00
01
01
01
10
00
11
10
00
01
00
00
11
00
11
10
10
10
01
10
00
00
01
00
00
00
10
10
00
00
00
11
01
11
11
01
00
10
11
11
11
00
10
10
10
00
00
01
10
11
01
00
11
10
00
10
00
01
10
00
01
11
01
11
00
11
00
10
10
11
01
00
00
10
11
10
11
10
00
10
10
10
11
11
01
10
10
00
10
01
00
00
10
00
10
11
11
10
00
01
00
01
00
11
10
11
10
01
10
11
11
10
00
11
00
00
00
00
11
10
00
01
01
10
10
00
00
10
01
00
10
00
00
01
00
01
10
10
00
10
11
00
00
11
10
10
11
00
01
10
11
00
00
11
10
10
00
10
10
00
11
00
00
10
01
10
00
00
10
01
10
10
11
01
01
01
00
10
10
00
00
01
10
10
00
01
10
10
00
00
00
11
00
00
01
10
00
00
10
10
00
01
00
00
00
10
00
11
11
01
10
00
11
11
00
00
10
10
01
00
10
10
00
11
00
11
00
01
01
10
10
10
10
01
00
11
00
01
00
10
11
10
10
00
01
10
11
01
00
01
11
00
00
00
01
01
10
10
10
11
11
00
00
00
10
01
11
00
01
10
10
00
10
10
01
00
10
10
00
00
10
01
10
11
01
10
11
00
00
01
10
11
00
11
10
00
11
00
01
01
10
11
01
10
01
10
10
10
00
00
11
10
01
10
11
10
00
00
10
11
00
10
01
11
11
00
11
10
10
10
01
01
10
10
00
01
10
11
00
10
10
00
01
10
10
00
10
11
10
11
00
00
11
10
00
00
10
10
11
11
01
10
10
00
00
01
11
11
10
00
00
10
10
11
01
00
01
00
11
11
00
11
10
00
00
01
10
00
10
11
01
01
01
10
11
11
01
01
10
10
10
01
10
10
11
01
00
00
00
00
10
01
01
11
10
10
11
00
00
00
10
10
00
00
10
10
00
10
00
11
01
01
00
11
11
10
00
11
00
10
10
00
11
10
00
00
10
11
11
01
10
10
00
10
01
01
10
00
00
11
00
00
10
10
00
00
10
10
01
00
11
00
00
10
10
00
10
01
00
00
01
10
01
11
10
10
00
00
00
10
10
00
10
00
01
10
00
10
00
10
10
10
11
00
00
10
10
00
00
00
11
00
00
01
10
00
01
01
11
00
10
11
10
00
10
00
01
10
10
10
11
01
11
11
00
10
01
10
10
11
00
01
10
10
11
11
10
01
00
01
00
00
11
11
10
11
00
00
10
00
01
00
10
10
10
01
00
00
10
00
00
00
01
10
10
01
00
10
10
11
10
01
00
10
01
10
11
00
01
10
01
00
00
10
10
10
00
01
10
11
10
10
10
00
00
10
00
01
00
10
00
10
10
10
00
10
10
00
10
01
00
01
11
11
00
00
00
01
00
10
10
00
11
00
00
00
10
00
00
01
10
10
00
01
00
00
10
01
00
10
00
10
00
00
00
01
00
10
11
10
11
11
01
00
11
00
00
00
10
11
00
00
11
00
10
10
10
00
00
11
11
10
00
10
01
10
01
00
10
10
00
11
00
00
10
01
01
00
11
10
11
00
00
11
01
11
10
01
00
00
00
00
10
11
10
01
00
10
11
00
01
10
01
00
10
00
10
00
00
10
11
00
01
10
10
00
11
00
00
11
00
00
10
11
10
01
11
01
00
11
10
00
01
11
00
00
10
10
00
00
10
01
10
00
00
01
01
11
10
00
10
01
00
00
01
10
01
10
00
10
11
00
10
00
00
00
10
00
00
10
00
00
00
11
11
00
00
10
00
00
00
10
10
00
00
10
01
11
00
01
10
00
11
11
01
11
11
00
10
00
10
00
01
11
11
11
01
00
00
01
00
10
01
01
10
10
11
11
01
01
10
11
11
01
00
11
00
01
00
00
10
10
01
10
01
00
00
01
10
01
00
11
10
00
01
10
11
10
01
01
10
00
01
10
11
00
00
10
10
10
01
00
00
10
11
10
00
10
10
11
10
00
11
10
01
01
00
10
10
01
01
11
10
10
10
10
01
00
11
00
00
10
11
00
00
00
10
10
10
00
10
00
01
00
11
00
00
01
10
11
00
00
11
00
00
10
10
01
00
01
00
10
01
00
10
10
01
01
11
01
00
11
10
10
00
10
00
00
10
10
10
00
01
00
11
11
11
00
11
00
00
10
10
10
10
00
00
01
00
00
11
10
11
10
11
00
00
01
10
10
01
00
00
00
00
10
10
01
10
11
11
00
10
10
00
00
00
10
11
10
01
01
00
10
00
11
11
11
01
00
11
00
10
00
01
10
10
11
00
11
00
01
10
11
11
00
00
10
00
00
00
11
10
01
01
10
10
01
00
10
10
11
11
00
01
10
01
00
01
10
11
01
00
00
10
00
10
00
10
10
00
10
11
01
11
00
00
00
10
10
10
01
00
00
10
01
00
11
11
00
00
00
01
01
00
11
00
11
10
01
10
11
00
00
11
10
10
10
00
00
11
10
00
01
10
10
01
10
01
01
10
10
10
01
00
00
10
01
00
10
00
10
11
00
00
10
00
00
00
11
10
00
10
00
01
00
11
10
10
00
10
10
10
00
00
10
00
11
01
10
11
00
01
10
01
11
01
00
10
00
00
11
11
00
00
11
00
01
00
01
10
10
10
00
10
10
11
00
00
00
11
10
00
01
11
10
11
11
00
11
00
10
10
00
00
10
00
00
01
00
01
11
10
00
10
10
00
00
10
11
00
00
11
10
00
00
10
10
00
00
10
10
11
10
10
01
00
01
00
00
01
00
10
10
11
00
10
00
11
01
11
00
10
11
10
10
00
10
00
00
00
00
11
01
10
11
11
10
00
10
10
00
10
11
00
10
10
00
11
10
00
00
00
10
01
00
10
10
00
10
11
00
00
00
00
10
00
10
10
01
00
10
10
10
00
10
10
00
00
10
01
00
10
10
10
10
11
00
01
01
11
01
11
11
00
00
10
10
00
01
00
01
11
01
00
11
10
00
10
00
10
11
11
00
10
01
00
10
10
01
00
10
00
11
11
01
11
10
10
00
10
00
00
00
11
00
11
11
00
10
10
00
10
00
00
00
00
01
00
01
10
01
10
01
00
10
01
01
00
11
10
00
00
10
11
10
01
00
00
00
01
00
10
00
00
00
11
10
01
10
11
10
01
10
01
01
10
01
01
00
00
00
10
01
11
11
00
00
11
00
00
10
10
00
11
00
01
00
11
01
01
10
00
01
10
01
00
11
10
10
01
01
10
10
11
00
10
00
11
10
11
10
00
10
10
00
00
00
10
11
10
10
00
10
01
10
00
10
01
00
11
00
10
00
01
10
11
00
00
10
10
00
10
00
00
11
01
01
01
01
00
11
00
11
11
00
01
10
00
01
10
10
01
10
10
10
11
10
10
11
01
10
01
10
00
00
10
11
11
10
10
00
01
10
11
01
10
10
11
00
11
10
00
00
11
10
01
00
01
10
11
00
01
10
11
10
00
00
00
11
10
10
01
10
10
00
11
11
11
00
10
01
00
00
01
10
10
11
10
00
00
11
10
10
00
01
00
00
10
10
10
01
10
10
10
00
00
00
11
00
00
10
01
00
11
01
00
10
00
01
11
00
00
00
10
10
00
10
10
11
11
10
00
00
10
10
10
00
00
10
00
01
01
00
11
10
11
10
01
11
10
10
00
10
00
10
10
00
10
00
11
00
01
00
11
10
00
10
01
00
10
10
00
10
01
00
11
01
00
11
10
00
01
10
11
00
11
00
10
10
10
10
00
00
10
01
10
11
10
10
00
10
00
00
00
11
00
00
10
11
01
10
00
01
00
10
10
00
00
11
11
00
00
10
11
10
10
01
00
11
10
01
11
10
10
01
01
00
00
11
10
00
00
01
10
01
00
10
10
01
10
10
00
00
00
00
10
11
10
00
00
11
11
10
00
01
10
11
11
01
00
01
10
00
00
11
10
11
01
00
10
11
10
11
11
10
11
00
00
10
00
11
00
11
10
00
10
10
01
01
10
11
10
00
10
11
01
00
11
10
10
00
11
10
00
01
00
11
01
00
11
10
10
00
00
10
10
00
01
10
01
10
10
00
00
10
11
10
00
01
00
10
10
11
00
01
00
00
11
00
00
10
11
01
11
10
00
00
00
01
10
00
00
01
00
01
00
10
01
00
11
11
11
01
01
11
01
00
10
00
01
10
10
11
01
00
10
11
10
10
00
11
00
10
10
01
10
00
10
10
00
00
00
01
10
00
10
11
01
10
00
10
10
11
10
01
00
10
10
10
00
10
00
00
10
00
10
11
00
10
10
10
00
01
11
10
00
00
00
10
10
00
11
11
10
00
00
10
00
01
00
01
00
00
11
00
10
00
10
11
11
10
00
11
11
00
10
10
10
10
01
10
00
11
10
00
10
00
00
01
10
00
10
00
10
10
10
00
01
11
00
00
00
10
10
00
10
00
10
01
10
01
00
01
10
10
00
01
00
10
11
01
01
10
00
10
10
10
00
00
00
11
10
10
01
10
00
10
00
00
11
11
10
01
00
00
00
00
00
10
10
01
10
11
11
01
00
10
00
00
00
00
00
10
10
10
10
01
01
00
11
00
00
00
10
10
11
11
01
01
10
10
00
10
11
01
00
10
01
00
01
00
10
00
00
00
00
10
10
10
10
11
00
11
01
11
00
00
11
01
10
11
00
00
11
11
00
01
10
11
10
11
00
11
00
10
00
01
10
10
10
11
10
00
00
00
00
01
01
00
10
01
00
01
00
10
01
10
10
10
10
10
10
01
00
11
11
10
00
01
00
10
00
00
10
11
00
00
00
01
00
00
11
11
00
10
00
00
10
00
00
10
10
10
01
10
00
10
01
00
10
00
00
10
01
10
10
01
01
10
11
00
00
00
10
01
10
10
00
00
01
10
00
10
10
01
10
01
10
00
11
10
10
10
11
00
00
01
00
01
10
10
00
10
00
10
10
00
10
10
10
11
10
00
10
01
10
00
11
10
00
11
10
01
11
10
00
10
10
01
00
10
10
00
01
10
00
10
00
00
01
01
00
11
00
01
10
11
11
10
00
10
00
00
01
11
10
01
10
01
11
10
10
00
00
01
11
00
01
00
11
10
10
00
01
00
11
10
00
00
01
00
11
11
10
10
11
10
00
10
10
00
11
00
00
10
10
01
01
11
01
00
10
00
11
00
00
10
11
10
10
01
11
11
00
11
00
10
10
00
11
11
00
00
00
10
01
00
00
00
01
11
10
11
10
01
10
00
00
00
00
01
01
11
10
10
00
10
10
00
00
11
10
01
01
00
11
10
10
00
01
10
10
00
00
11
00
10
10
10
00
01
11
10
11
01
00
10
10
00
00
01
00
00
11
10
10
10
01
00
01
11
10
11
10
11
01
10
11
00
00
10
11
10
11
00
01
10
00
10
11
10
01
10
11
11
10
10
11
10
01
10
00
10
10
00
01
00
01
10
10
10
10
00
10
00
10
10
00
11
01
10
11
11
01
01
10
01
10
10
01
00
01
10
11
10
10
10
11
10
00
00
10
10
10
10
01
00
10
10
11
01
10
10
00
10
11
01
11
00
00
10
10
00
00
11
10
11
00
00
10
11
11
01
10
11
10
11
00
00
11
00
00
11
10
10
10
00
01
01
10
11
11
01
00
11
10
01
10
10
00
00
01
11
11
01
00
10
01
10
11
10
00
11
00
10
00
10
10
10
01
00
10
10
00
10
00
00
11
01
00
11
10
10
00
00
10
10
00
00
10
10
10
10
00
11
01
01
10
10
10
00
00
00
11
00
10
10
00
10
00
11
00
01
11
11
00
11
10
00
10
11
01
00
01
10
00
11
00
11
10
10
01
11
01
00
10
11
00
10
00
10
10
11
01
01
00
10
00
10
01
10
01
00
10
00
11
10
10
00
01
10
10
00
11
01
01
00
10
11
10
10
00
00
10
10
00
00
00
00
11
11
10
00
01
11
01
10
01
10
00
00
01
10
11
01
00
11
11
00
10
00
01
10
11
00
10
11
01
10
10
00
01
00
00
10
11
11
00
00
10
11
00
01
00
00
00
01
11
10
10
10
10
00
00
00
00
10
00
10
10
01
00
00
01
01
10
10
10
10
01
01
00
00
11
10
11
00
01
00
01
10
10
01
10
01
00
00
10
10
00
00
00
11
10
00
10
10
00
10
00
00
10
00
00
10
00
00
11
11
00
01
10
11
10
00
00
10
10
10
11
00
01
00
00
10
00
00
01
11
10
10
00
11
00
00
11
10
11
10
10
00
00
00
00
10
01
10
10
00
11
00
00
10
10
10
00
00
10
11
01
11
01
10
11
00
10
01
11
11
00
10
10
01
00
10
10
01
00
11
10
00
10
01
11
00
00
10
01
00
00
10
10
11
00
11
10
10
01
10
00
10
00
11
11
00
11
00
10
00
11
00
01
11
01
00
00
10
10
10
00
00
00
00
11
11
11
00
11
10
11
11
01
00
01
11
00
10
10
11
00
01
11
10
00
11
10
00
01
11
10
11
00
01
00
00
11
10
01
01
00
10
10
10
11
00
01
00
11
00
00
10
01
11
11
10
00
10
00
10
00
00
00
10
10
00
10
00
00
10
00
10
00
11
10
01
00
01
10
11
01
10
00
00
01
10
10
11
00
11
11
00
01
00
01
01
01
00
10
10
00
00
10
00
01
01
11
00
10
00
10
00
10
10
00
10
10
10
00
10
11
11
10
00
10
10
00
00
00
11
11
00
10
11
11
01
10
11
00
01
01
11
01
01
01
11
10
00
10
10
11
00
00
11
10
00
10
00
00
11
10
11
00
00
01
10
10
11
10
00
10
10
01
00
10
10
10
00
11
11
01
01
11
01
00
11
00
01
10
00
00
10
10
10
10
01
11
10
11
01
00
00
10
10
10
00
00
10
00
10
01
11
11
01
01
10
11
10
01
10
00
00
00
10
10
00
10
10
10
10
11
11
10
10
00
00
10
00
10
00
11
00
01
00
00
11
11
00
10
11
00
11
00
11
01
01
00
10
00
00
10
01
10
10
00
00
10
11
01
11
01
01
00
10
10
01
10
11
00
01
11
01
00
10
01
10
11
00
11
11
11
10
00
00
10
10
10
11
01
00
01
00
11
11
11
00
10
10
00
11
01
00
10
01
00
01
01
10
10
00
10
10
11
00
01
11
10
00
11
10
11
10
10
00
00
11
11
00
01
11
01
00
00
10
10
01
00
00
10
10
01
10
00
00
11
11
00
00
01
11
01
00
11
10
00
00
00
00
10
11
10
11
01
11
10
00
00
11
00
00
10
10
00
10
10
00
01
00
01
11
01
01
01
10
00
10
10
00
01
00
10
10
00
10
11
10
10
00
00
00
00
10
10
11
10
01
00
00
00
10
00
00
10
11
00
01
00
10
10
11
11
10
10
01
00
10
01
10
10
00
01
10
11
10
00
11
10
01
01
00
11
00
01
10
11
10
01
11
10
10
01
10
10
11
01
11
01
10
10
00
00
00
10
10
00
11
01
00
00
01
00
00
10
00
00
10
00
10
10
11
00
00
11
00
11
00
10
10
01
10
01
00
10
11
11
01
01
01
00
00
10
00
10
10
00
01
00
01
00
11
10
00
00
10
01
00
10
10
10
11
10
00
10
11
01
11
11
00
00
00
11
10
10
00
10
01
00
10
11
11
10
11
10
11
11
00
00
01
00
00
10
11
10
10
10
10
00
10
10
00
10
10
10
00
00
00
10
00
10
10
00
10
01
00
00
11
00
10
11
00
11
01
11
01
10
10
10
00
00
00
11
11
11
00
10
01
10
01
10
01
00
11
10
10
01
00
10
10
10
01
01
10
01
11
00
00
11
11
00
10
00
01
10
10
10
10
00
10
00
00
10
00
01
10
10
00
00
00
01
00
10
10
10
00
00
01
11
01
01
00
10
00
10
00
00
00
10
11
11
01
11
01
00
00
01
11
11
00
00
11
10
00
10
10
10
10
00
00
10
00
10
01
11
00
01
00
00
11
10
10
01
10
00
10
10
00
10
01
10
10
00
11
10
10
01
00
00
00
00
10
00
00
11
11
00
10
10
01
10
01
01
11
10
01
10
10
10
00
10
11
10
00
00
10
10
10
00
00
01
10
11
11
11
01
10
10
00
00
10
11
01
00
10
01
10
00
11
10
10
10
10
10
10
01
01
01
01
10
10
11
11
00
00
10
10
00
00
01
10
00
00
11
10
01
10
00
11
00
11
11
00
00
11
10
11
10
00
01
10
11
10
11
10
10
00
00
00
11
10
00
10
01
00
10
01
10
00
10
01
11
01
00
10
01
10
10
00
10
11
01
01
11
00
00
01
00
00
00
01
11
10
10
00
00
10
00
10
10
00
01
00
11
00
01
00
01
01
01
00
10
10
00
01
11
10
00
00
11
10
11
11
00
10
10
10
10
10
00
00
11
00
10
11
10
11
00
00
00
10
00
10
00
00
11
10
00
10
01
00
10
10
00
11
11
11
11
10
11
00
00
10
11
00
00
10
10
11
11
00
11
01
01
00
00
00
10
10
01
00
00
10
01
00
01
11
11
11
00
11
11
01
00
01
10
11
10
00
01
10
00
01
11
11
10
11
00
11
10
11
10
01
00
10
11
00
00
10
00
00
10
01
01
11
00
10
00
11
10
00
10
10
10
11
10
01
00
00
00
10
10
01
00
00
10
11
00
10
00
10
00
10
10
01
00
10
01
00
00
11
00
00
00
01
10
10
10
00
00
00
11
10
00
11
01
10
10
10
00
00
01
00
10
00
00
00
00
10
10
00
00
10
10
10
11
00
11
11
00
00
01
00
10
00
10
01
00
11
01
10
10
01
10
10
00
00
10
00
10
00
01
10
01
11
10
11
10
10
01
11
00
01
10
10
10
01
00
10
01
01
11
10
01
00
00
10
01
11
10
10
10
01
01
10
11
00
01
10
00
11
10
00
00
00
11
00
00
10
00
00
00
01
01
00
10
01
10
01
00
00
00
11
10
10
11
00
00
00
00
00
01
00
10
10
10
00
10
10
00
10
11
00
01
00
00
00
10
10
01
10
11
00
00
10
10
00
10
11
10
01
11
01
00
11
10
10
00
00
10
11
10
01
01
11
00
00
10
10
01
00
00
10
11
00
01
00
11
11
10
01
01
00
10
10
01
00
11
10
00
00
11
00
10
00
01
11
10
01
00
11
10
01
00
10
10
00
11
10
00
00
10
10
10
00
00
00
10
01
01
00
10
00
10
01
00
11
01
00
11
00
11
10
11
01
01
10
01
10
10
00
00
11
11
10
01
00
11
00
00
10
10
10
11
00
00
00
10
00
01
10
00
10
10
00
00
00
10
01
01
10
10
01
00
10
10
11
00
10
10
00
10
10
10
00
11
00
00
10
00
11
00
01
01
01
10
10
00
01
00
01
10
10
10
10
01
00
00
10
10
00
01
00
10
01
10
00
10
01
00
11
10
11
10
00
10
00
10
10
00
00
00
10
01
00
10
10
11
01
11
11
01
00
00
10
01
10
10
00
01
10
10
00
10
10
00
00
11
11
00
00
01
00
10
10
00
10
00
10
11
10
00
10
00
01
11
10
01
10
00
00
00
00
10
11
01
10
00
11
00
01
10
10
00
10
11
00
10
10
01
01
00
10
11
10
11
00
01
00
10
11
10
10
00
00
11
01
10
11
10
10
00
10
00
10
01
00
00
10
10
01
10
00
11
10
10
10
00
00
10
01
00
11
10
10
00
01
00
00
00
11
10
00
10
01
10
10
01
10
11
11
00
01
10
00
11
00
10
10
01
01
11
11
00
10
01
01
01
11
10
01
01
00
10
00
01
10
11
10
00
00
00
10
11
10
10
00
10
00
00
10
10
10
01
00
00
00
00
00
11
11
01
10
11
11
00
11
00
10
11
10
01
01
10
10
10
00
10
00
00
10
01
10
11
10
00
10
11
10
00
01
11
11
00
01
00
11
11
10
11
00
10
10
00
00
00
11
10
00
10
00
00
00
00
10
10
00
00
10
00
11
00
11
00
10
00
00
00
10
01
11
10
10
00
11
01
11
00
00
11
00
11
11
00
01
01
10
11
10
01
10
11
00
01
00
01
10
11
00
00
10
11
10
10
01
01
00
10
00
00
11
10
10
11
10
00
10
11
00
01
01
01
11
01
00
10
01
00
10
10
01
00
00
10
00
00
11
10
10
00
00
01
11
11
11
11
00
00
01
01
10
10
01
11
01
10
11
00
10
10
11
10
00
01
10
00
00
10
01
10
00
01
11
10
11
00
10
00
10
10
01
00
10
11
00
11
00
10
10
00
00
00
10
10
10
11
10
00
00
00
00
10
10
00
01
10
10
10
00
01
00
10
10
10
10
10
00
01
00
10
10
00
10
00
00
10
01
00
01
00
11
11
10
01
11
01
00
00
11
00
01
10
00
00
10
10
00
01
11
00
10
01
00
10
10
10
01
00
10
00
00
00
10
11
10
00
00
01
00
00
00
11
00
00
01
11
01
00
10
00
00
11
00
10
11
00
10
01
11
01
10
00
01
00
10
10
10
00
10
10
00
00
00
10
00
10
10
01
01
00
00
00
00
11
10
10
11
10
00
01
00
00
00
01
10
00
01
00
10
10
10
11
00
10
00
00
00
11
11
00
10
10
00
11
10
00
11
00
10
01
11
10
10
00
00
00
10
11
00
01
01
10
00
01
00
01
00
11
01
10
10
10
00
00
01
10
10
11
00
10
00
01
11
10
11
00
10
10
01
10
11
01
00
00
00
01
01
00
11
11
01
00
01
00
01
10
11
00
00
10
00
10
10
11
01
10
10
01
10
00
10
00
01
00
01
00
11
11
10
10
10
00
01
11
10
11
10
00
10
00
00
11
10
01
00
10
01
11
10
10
00
01
10
00
00
00
10
10
11
01
00
11
11
10
10
11
00
01
00
11
01
01
01
10
11
00
00
10
10
01
01
10
00
11
01
00
10
00
00
01
01
10
10
01
00
11
10
00
01
10
10
00
00
10
00
00
10
10
01
00
00
01
11
11
00
10
01
10
00
10
01
00
10
01
10
01
11
01
01
01
00
00
11
10
10
00
00
11
10
10
10
00
00
01
11
10
10
01
10
00
10
10
10
00
00
11
10
00
10
10
00
11
00
01
10
11
01
11
00
11
10
00
00
11
10
00
10
10
01
10
10
01
00
11
00
11
00
11
10
00
00
00
01
10
01
10
00
01
11
10
00
00
10
10
00
01
10
00
00
00
10
10
01
10
10
00
00
00
00
11
01
11
00
00
10
00
10
11
10
00
01
11
00
01
11
10
10
00
00
10
10
00
10
10
10
00
11
01
10
00
00
01
10
10
00
00
00
00
10
10
10
00
10
01
01
00
11
10
10
00
10
11
11
00
00
10
01
00
00
00
10
00
00
10
11
10
10
10
10
11
10
00
00
00
00
10
10
10
10
00
11
11
11
10
00
10
10
00
01
00
01
10
10
10
00
10
00
10
10
10
00
01
01
01
01
11
11
00
01
00
00
11
11
00
00
01
11
10
00
01
00
10
10
11
10
00
11
10
11
11
10
01
10
10
00
00
10
01
01
11
01
00
00
10
10
01
00
10
00
00
11
00
00
10
11
10
10
10
01
00
00
01
00
10
00
00
01
01
00
10
10
01
10
00
10
10
10
10
00
01
00
10
01
00
11
00
11
10
10
00
10
10
10
00
01
10
00
11
10
11
10
10
01
01
10
11
01
01
11
00
10
11
10
01
10
10
00
00
00
00
10
11
01
00
11
01
00
01
10
00
10
00
01
00
00
01
10
00
00
11
10
11
00
00
10
00
00
00
10
01
00
10
10
10
10
10
10
00
01
10
10
00
10
10
00
00
11
01
10
11
10
00
00
10
01
00
00
10
10
10
01
00
10
01
11
10
00
00
00
11
01
00
11
11
00
10
10
10
01
00
00
00
11
10
01
11
10
01
00
10
00
10
11
00
01
00
11
00
01
00
01
11
11
00
11
01
10
10
00
00
01
11
10
01
01
00
00
10
00
00
11
10
01
11
11
11
11
00
00
00
01
01
10
10
01
11
10
10
11
10
00
00
10
10
01
10
01
01
10
01
01
01
10
10
01
01
01
10
10
01
10
11
00
10
00
01
11
00
00
11
00
01
10
10
10
00
00
00
00
10
11
10
00
00
10
00
00
10
10
00
10
01
00
11
10
01
00
01
10
01
10
00
00
11
10
11
01
01
00
01
10
10
00
11
11
01
10
10
01
00
00
01
11
10
10
00
01
10
10
00
11
10
10
01
00
00
10
01
10
11
01
00
00
10
00
10
10
10
00
10
10
01
10
00
10
10
10
10
11
00
10
10
01
10
01
01
01
10
10
00
00
11
00
00
11
11
00
11
11
00
10
11
00
11
00
11
00
11
00
01
11
10
10
00
00
00
11
10
11
11
00
00
10
01
10
00
00
10
01
01
11
10
10
00
10
01
00
10
11
00
00
00
00
10
11
00
00
01
11
00
00
01
01
11
11
11
01
01
10
10
00
00
10
01
00
11
11
00
10
01
01
00
10
11
00
01
11
11
10
00
11
10
10
00
00
10
00
00
00
00
11
10
10
01
11
00
10
10
00
10
10
10
00
11
10
01
10
00
10
00
00
10
00
10
10
00
00
01
00
01
00
10
10
01
01
00
11
10
00
01
10
10
00
00
00
00
10
00
01
10
11
00
10
01
01
00
10
00
01
00
11
10
11
00
10
00
00
00
11
11
00
00
10
00
10
01
00
11
10
11
00
00
00
10
00
00
01
10
11
10
11
11
01
10
01
10
10
00
00
01
10
01
01
00
10
11
11
10
00
01
10
00
00
10
00
10
01
10
00
01
10
00
11
10
11
00
10
00
10
00
00
10
00
10
10
00
00
10
10
00
11
11
01
00
00
11
00
10
11
00
01
00
00
10
11
01
00
10
11
11
00
01
01
10
00
01
10
01
00
11
01
11
00
00
10
00
10
10
00
10
10
00
10
00
00
00
11
10
00
10
11
01
00
11
10
00
00
10
10
10
10
00
10
10
00
10
10
10
10
00
11
01
10
00
01
10
10
00
01
10
10
00
10
00
10
00
00
00
10
11
11
10
10
00
10
11
01
00
00
11
00
11
11
11
10
00
10
00
01
11
11
00
00
00
11
01
11
10
00
00
00
01
01
00
11
11
00
00
11
10
01
01
11
10
00
11
11
00
00
00
10
00
11
11
01
01
01
00
00
10
10
10
10
01
00
10
11
00
10
10
00
01
10
11
00
11
11
10
00
10
01
10
10
00
00
00
11
11
01
00
00
11
00
00
10
11
10
11
11
00
00
00
11
10
11
00
11
10
10
00
10
00
00
10
00
01
10
11
10
10
00
10
00
00
10
10
00
00
10
10
00
11
11
00
00
00
00
11
00
10
00
10
10
01
11
11
10
00
10
10
01
01
00
11
01
00
10
11
00
11
01
00
10
01
01
00
11
00
00
10
10
11
00
10
11
10
10
11
00
00
01
10
11
10
00
01
10
10
11
10
00
11
11
00
00
10
00
11
10
01
00
01
10
10
00
11
10
01
11
10
00
10
10
00
00
10
01
10
10
10
10
10
01
11
00
10
10
11
00
10
10
00
00
10
11
00
00
01
00
10
00
10
10
11
00
10
00
10
00
10
10
01
00
01
11
00
00
10
10
00
00
10
00
00
10
01
10
00
00
00
00
10
10
10
00
10
11
10
10
00
01
10
00
11
01
00
00
11
10
00
11
01
00
10
11
00
01
10
00
10
00
11
10
11
00
00
11
10
11
00
10
10
11
00
00
10
10
11
11
10
00
00
00
10
00
11
00
00
00
00
00
10
10
00
00
11
11
01
00
01
10
11
10
00
00
11
01
01
00
00
11
10
00
01
10
01
01
00
11
11
10
11
11
00
01
00
10
10
00
01
11
10
01
10
00
10
10
00
01
10
01
00
00
10
10
10
10
00
01
00
00
01
00
00
10
10
11
01
00
00
00
10
10
00
00
11
01
00
11
00
10
01
00
10
10
00
00
10
10
11
10
10
01
00
00
10
00
00
00
10
10
10
00
10
10
00
11
11
10
11
00
00
00
00
10
10
10
00
00
10
11
00
11
00
10
10
10
10
10
11
01
11
00
00
00
00
00
10
00
01
00
10
00
11
10
10
10
00
00
10
10
00
10
00
00
01
10
10
10
00
00
11
00
00
10
10
00
01
10
11
00
00
00
00
00
01
01
11
11
00
00
01
00
10
11
00
01
00
10
10
01
00
01
10
10
10
01
11
00
01
10
00
10
10
00
10
00
00
00
10
11
10
01
10
00
00
11
00
01
11
11
00
00
11
00
11
00
00
10
10
01
10
00
00
10
10
00
00
01
10
00
01
11
11
00
01
11
11
00
00
01
10
00
01
10
11
00
10
01
10
00
00
00
10
00
10
11
10
10
01
00
00
00
01
00
00
11
01
00
01
11
01
00
01
00
01
11
10
11
00
10
00
10
10
10
01
01
11
10
00
11
10
10
10
00
01
00
10
10
10
00
00
10
00
11
11
10
00
10
11
11
10
00
00
10
00
01
10
01
00
00
11
00
11
11
10
01
10
10
10
10
00
10
11
00
10
00
00
10
11
11
01
11
11
00
00
10
00
01
11
10
10
10
01
00
11
00
00
00
00
10
10
00
00
00
11
00
11
00
11
10
10
11
10
10
00
11
00
01
10
10
10
10
01
00
00
10
10
00
10
10
00
00
10
00
10
00
00
00
01
00
11
10
00
10
10
00
11
00
00
00
11
00
00
10
01
10
00
00
10
10
00
00
01
10
01
10
10
00
00
00
11
00
01
10
00
00
10
11
01
11
11
00
10
01
00
01
01
10
11
11
01
00
11
10
01
10
01
11
01
10
11
00
00
10
11
00
10
10
00
10
10
01
01
10
11
10
10
00
11
11
01
11
00
10
10
00
00
10
10
01
00
00
11
10
00
00
10
01
01
10
01
00
00
10
01
10
10
11
00
10
10
10
00
00
10
00
11
10
10
11
00
01
11
00
10
11
00
01
10
01
00
00
10
01
01
10
11
10
00
10
10
00
11
10
00
11
11
01
10
00
10
00
10
00
01
10
11
11
01
11
01
01
10
00
00
00
11
01
11
10
10
00
01
11
00
01
00
10
10
01
01
01
10
00
11
10
01
00
11
10
10
10
01
11
11
10
00
11
01
10
10
00
00
11
10
00
11
10
01
11
10
11
10
10
00
00
10
00
00
10
10
01
11
11
01
11
10
01
00
10
00
10
01
00
10
00
10
10
11
01
11
01
00
00
11
10
10
10
00
10
10
10
00
10
00
00
10
11
10
01
10
00
01
00
01
10
00
00
10
11
10
00
00
11
10
00
10
00
00
00
10
10
00
11
10
01
10
01
10
11
00
01
00
11
10
01
10
00
11
10
10
00
01
10
11
00
00
00
01
11
10
11
00
00
10
00
11
00
11
10
11
00
10
10
00
00
10
10
00
10
10
10
11
11
10
10
00
10
11
10
00
00
10
10
00
00
11
00
11
10
11
00
10
11
00
10
11
11
00
00
10
01
10
01
01
01
11
10
10
01
01
11
11
10
10
10
01
01
01
10
11
01
00
00
00
01
10
00
11
11
00
00
11
00
10
11
00
00
01
10
01
11
00
11
10
10
01
10
10
00
10
10
00
11
01
00
00
10
10
10
10
00
10
01
11
00
00
11
10
01
00
11
00
11
01
00
00
00
10
10
00
10
10
01
00
00
10
10
01
00
01
00
10
10
11
11
01
10
10
10
10
00
10
00
00
10
00
10
10
01
00
01
10
11
00
01
00
01
10
11
00
00
00
10
10
10
01
00
10
10
00
01
10
10
01
00
00
10
10
10
10
10
11
11
00
01
01
10
10
10
10
01
00
10
00
01
01
01
10
01
00
01
10
10
10
00
00
10
11
00
00
10
01
10
00
10
10
10
00
10
00
01
11
10
10
00
11
11
00
11
01
01
10
11
00
00
00
00
10
11
01
00
00
10
00
01
11
00
11
00
00
00
11
00
00
10
10
10
11
10
10
10
00
01
11
10
10
01
10
01
11
10
10
11
11
00
01
11
00
10
10
00
00
10
10
00
01
00
00
11
10
01
10
10
00
10
01
00
11
11
00
11
10
10
10
10
00
00
10
10
01
10
00
10
11
11
11
00
10
01
11
00
10
00
00
11
00
11
11
11
10
10
11
01
10
11
00
00
01
00
00
01
01
11
01
11
00
10
10
10
00
00
11
10
00
01
10
00
11
00
10
11
11
00
00
10
00
00
00
10
10
00
00
10
00
00
10
10
10
00
11
10
01
10
10
00
11
11
01
01
10
00
00
10
01
11
11
10
00
10
10
01
11
01
01
00
00
10
00
01
00
10
11
00
01
01
01
11
00
10
10
00
10
00
00
11
00
11
11
00
11
01
00
10
10
01
00
00
10
00
11
00
00
01
10
11
11
00
00
00
00
11
10
01
11
11
00
00
10
00
11
10
01
01
01
00
11
10
10
10
00
00
10
00
10
01
00
01
00
01
11
11
11
01
00
10
11
00
01
10
10
01
00
11
00
11
10
00
00
00
00
00
10
10
00
10
00
11
00
01
10
11
10
10
11
01
11
10
01
01
00
00
00
11
11
01
01
11
00
00
01
10
10
00
01
10
10
10
00
00
00
11
00
10
11
11
01
11
01
00
10
00
01
11
00
01
11
10
01
01
10
11
01
00
00
00
00
00
10
10
01
01
10
11
10
10
00
10
10
11
00
01
00
01
00
00
00
00
10
10
00
00
11
11
00
00
11
00
01
10
00
01
10
00
10
10
11
00
00
10
00
11
10
00
00
11
11
00
00
10
01
01
10
00
00
10
11
11
00
00
10
10
10
01
00
10
10
11
10
10
00
10
01
00
01
00
10
00
11
00
00
10
11
00
11
01
10
00
01
10
11
11
11
10
01
00
11
11
01
00
00
00
10
10
10
00
10
00
10
10
01
00
10
11
11
00
00
00
11
10
00
01
10
11
00
10
10
11
00
01
01
11
11
00
00
00
01
11
11
00
00
11
01
10
00
01
10
10
00
10
11
10
11
10
00
00
00
00
10
10
01
11
11
01
11
11
01
00
00
01
10
10
00
10
10
10
10
00
10
00
00
00
10
10
01
00
11
00
00
10
01
00
00
00
10
10
01
10
00
11
10
10
10
10
00
00
00
10
11
10
00
00
01
01
00
01
10
00
11
11
11
00
00
10
11
00
00
10
01
00
01
00
00
10
10
10
10
01
00
00
10
10
11
11
10
00
01
11
11
00
11
00
00
10
00
10
10
00
10
01
10
10
01
01
10
10
10
01
00
00
01
10
11
00
00
00
00
10
11
11
00
00
01
01
00
11
01
00
00
11
10
00
00
01
00
11
11
10
10
10
00
10
10
00
11
11
00
00
11
00
01
10
01
10
10
11
10
00
00
00
10
00
01
10
10
00
11
00
10
10
00
10
00
11
10
01
10
11
10
01
11
00
10
00
00
11
00
10
01
11
10
01
00
00
10
00
11
10
01
11
11
00
00
00
10
01
11
00
01
10
00
00
00
10
10
00
11
10
00
00
10
00
00
11
01
01
00
11
11
11
10
01
00
00
00
10
10
01
01
00
01
01
11
00
10
10
00
10
10
00
10
00
10
10
10
01
00
11
10
10
00
11
01
10
10
00
00
00
01
11
10
00
00
01
10
10
01
00
00
00
01
10
00
10
10
10
11
01
11
00
10
00
10
00
00
10
11
10
01
00
00
00
01
10
00
01
11
10
00
10
10
00
01
10
00
01
10
00
00
01
11
10
00
11
10
11
00
00
10
00
10
10
00
00
10
10
00
01
10
10
10
10
10
10
00
00
00
10
00
10
10
11
01
00
11
11
00
00
10
00
10
10
00
01
10
10
11
10
10
00
01
10
11
00
01
00
00
11
11
10
00
00
10
11
10
01
10
11
10
10
00
00
01
11
01
00
00
00
00
10
10
10
00
00
10
11
00
01
10
10
10
00
11
00
00
10
00
11
10
11
00
10
00
00
11
10
00
00
10
00
11
00
10
01
01
00
00
10
01
00
10
11
11
01
00
00
00
10
10
10
01
00
00
11
01
10
10
10
11
10
10
00
10
00
00
10
00
10
11
10
00
00
00
10
10
00
00
00
10
11
00
10
00
10
10
01
00
01
11
10
10
00
11
00
00
10
10
00
00
11
00
00
10
00
00
00
10
11
00
10
00
10
11
00
01
10
10
10
11
00
10
01
01
01
00
00
10
11
01
01
01
10
00
11
00
00
00
10
10
01
10
00
10
10
00
10
01
01
11
01
11
00
00
11
00
00
11
00
10
00
00
11
10
10
10
10
00
10
00
10
00
01
00
10
01
10
11
10
01
00
10
10
01
10
10
01
00
00
01
11
10
00
00
01
10
00
00
11
10
11
00
00
10
10
00
10
10
01
11
01
10
10
00
11
00
01
01
11
11
01
10
00
10
11
00
00
01
01
11
10
01
01
11
10
10
01
00
00
11
10
10
00
11
01
01
00
10
00
01
11
10
10
00
10
00
01
01
11
01
00
10
10
01
00
10
11
00
01
10
01
11
00
00
10
10
00
01
10
10
00
00
00
00
00
00
10
00
10
10
00
10
11
10
01
10
10
01
10
10
10
00
00
11
10
00
10
10
01
00
00
10
00
01
10
10
10
01
00
00
10
10
11
10
00
10
00
00
10
00
00
01
10
11
00
11
11
00
00
10
01
01
11
11
00
00
10
01
00
10
00
00
11
00
00
11
10
00
10
00
11
01
00
10
00
00
10
00
10
10
00
01
10
01
10
11
10
00
00
00
10
10
10
01
01
01
01
10
10
01
10
11
10
11
00
11
10
00
10
10
00
10
10
01
01
11
00
00
00
10
00
00
10
11
00
01
10
11
00
10
00
00
10
01
10
10
10
10
01
10
10
00
00
00
01
10
10
10
00
10
10
00
10
11
01
10
01
00
00
10
11
00
11
00
10
10
10
11
01
11
11
10
00
10
10
00
00
10
10
01
01
10
10
00
00
10
01
00
01
00
11
11
01
01
10
10
00
11
11
10
00
00
00
10
10
10
10
10
00
11
01
01
00
01
10
10
00
00
11
10
10
00
10
01
00
00
01
11
01
01
11
01
10
10
11
11
00
01
10
10
00
11
00
01
10
10
00
00
10
10
00
00
01
00
00
11
10
10
10
00
11
00
00
00
00
01
10
00
11
10
00
00
10
01
00
00
10
11
10
10
01
10
00
00
01
11
01
10
10
00
10
00
00
10
10
01
11
01
01
11
10
10
01
00
00
10
11
00
00
10
00
01
00
00
10
11
10
10
00
01
10
11
10
01
00
11
10
11
11
00
11
10
00
00
00
10
00
01
00
00
10
10
00
10
01
00
01
10
00
00
10
10
10
00
00
00
00
10
00
10
10
10
00
00
10
10
11
00
01
10
00
10
10
10
01
10
00
00
00
01
00
01
11
10
01
00
10
10
01
11
00
00
01
10
00
00
10
00
01
00
11
00
00
00
10
00
10
10
00
01
10
00
00
00
00
01
00
10
10
11
10
10
10
11
11
11
00
01
10
10
10
11
00
01
10
10
01
00
00
00
10
00
00
11
10
10
10
01
00
00
00
01
01
00
00
10
11
00
11
10
01
11
11
10
10
01
00
10
10
10
00
11
01
01
00
10
10
10
01
11
11
10
01
10
10
01
00
10
11
10
00
00
11
00
00
10
00
00
00
11
10
01
10
10
00
10
01
00
10
10
00
00
01
01
01
00
10
10
10
10
10
11
10
00
00
00
00
10
01
10
11
00
10
00
00
00
10
01
00
10
10
10
10
00
01
10
01
00
10
00
00
01
00
11
10
01
11
10
01
10
00
00
10
11
01
00
11
01
11
11
10
01
10
00
00
11
10
00
10
00
00
10
00
11
00
11
00
10
11
00
10
10
10
00
11
00
10
00
11
01
01
00
00
11
11
01
10
11
00
10
11
11
00
01
10
11
01
00
10
01
10
10
10
00
01
10
01
00
10
00
11
00
11
10
00
00
00
01
10
10
01
00
00
10
10
00
00
10
10
10
01
10
00
00
10
00
10
00
00
00
10
10
00
00
01
00
00
10
10
01
11
10
10
10
01
00
10
10
00
10
00
10
11
00
11
00
11
10
00
11
10
11
10
01
01
00
00
00
10
10
01
01
11
10
00
01
10
00
00
10
10
00
01
11
00
00
11
10
11
00
01
10
10
10
10
11
00
01
10
10
00
10
10
10
00
00
10
11
10
11
00
00
10
00
01
00
00
10
01
00
00
01
11
00
00
00
01
11
00
10
00
10
01
10
11
10
00
00
00
00
01
10
00
11
00
10
00
01
10
10
11
00
00
10
10
00
00
10
00
00
01
11
00
00
00
00
10
10
00
10
00
01
10
10
01
10
01
00
00
10
11
10
00
11
10
10
11
00
01
01
11
10
11
10
01
11
00
11
01
00
11
11
00
01
11
10
10
10
11
10
01
01
00
00
00
00
10
01
01
11
00
00
01
00
00
00
10
10
10
01
00
01
01
10
11
00
01
10
11
10
00
00
00
10
11
11
11
01
10
10
01
00
10
01
01
10
00
01
10
01
10
00
00
11
11
00
10
01
01
11
11
10
00
10
11
01
10
11
01
10
00
11
00
01
11
01
00
10
10
10
10
00
01
10
10
10
00
10
00
01
00
10
00
00
01
00
00
10
11
00
00
11
10
00
00
10
01
00
11
00
01
11
00
01
10
11
00
00
10
01
01
10
00
00
11
10
00
10
10
11
11
00
00
11
00
01
11
00
11
11
00
00
11
11
11
01
00
10
11
11
01
00
00
00
01
10
00
10
11
00
11
10
00
11
10
00
00
00
11
10
10
10
10
01
00
00
11
10
01
10
10
00
10
10
01
11
10
01
00
11
00
10
01
00
10
10
00
01
11
00
10
10
10
00
00
00
10
10
00
00
10
11
00
00
00
10
10
01
10
10
11
01
00
11
10
01
00
00
00
10
01
10
10
01
11
01
00
10
00
10
10
11
00
01
00
00
11
10
10
00
01
01
01
10
10
00
00
10
00
00
10
00
10
10
00
00
10
00
11
01
10
00
10
00
00
00
11
10
01
10
10
01
10
01
11
00
01
01
10
11
10
10
00
01
11
10
00
00
10
01
01
10
00
10
10
00
01
11
10
01
10
11
10
10
00
01
10
01
11
10
11
00
00
11
00
01
10
01
00
10
10
10
10
00
01
01
00
10
00
10
10
10
11
10
00
01
00
10
11
00
10
01
11
01
11
01
00
10
00
11
11
00
00
10
01
01
01
10
11
01
01
10
01
00
11
11
00
01
11
11
10
01
10
10
01
00
10
10
10
11
00
10
11
00
01
00
01
00
00
00
00
00
11
01
11
10
00
01
10
10
00
11
11
00
01
11
00
10
01
00
10
00
01
10
10
00
11
00
00
10
00
11
10
01
00
10
10
01
00
10
10
01
10
11
00
00
00
00
11
11
00
01
00
10
00
10
00
00
00
01
10
10
01
00
01
11
00
01
10
10
00
10
10
00
00
10
01
10
11
10
10
00
01
10
11
00
00
00
00
10
00
00
10
10
11
11
10
00
11
01
10
01
00
10
10
10
10
00
11
10
00
00
00
00
11
10
10
10
11
01
11
11
10
10
10
00
01
00
01
10
01
00
10
00
01
10
10
00
10
10
01
10
00
10
00
10
01
10
10
10
10
10
01
00
00
10
10
11
00
00
01
00
00
11
00
10
10
00
00
00
01
10
00
11
10
01
10
00
10
11
00
11
00
01
01
00
00
10
10
00
00
11
10
10
00
10
01
10
11
01
11
10
10
10
10
11
00
11
10
10
00
10
10
10
10
00
10
00
00
10
00
00
00
10
00
11
00
11
00
00
10
00
10
01
01
00
11
01
11
10
10
11
00
10
10
00
01
00
01
10
00
00
11
00
01
10
10
01
00
11
10
11
01
10
01
00
00
00
10
11
10
01
00
01
11
00
01
10
00
01
00
10
01
11
00
10
00
00
11
01
10
01
00
11
00
10
11
01
11
01
10
00
00
10
01
11
11
01
00
10
10
00
10
00
01
11
11
00
10
10
00
00
11
10
01
10
11
01
00
00
10
11
10
00
00
01
11
10
00
10
10
11
00
00
10
00
11
10
00
00
10
10
11
11
10
10
00
11
00
00
00
00
10
10
10
11
11
01
00
10
10
10
11
00
11
10
00
00
00
00
00
01
10
11
10
00
11
01
00
10
11
00
00
11
00
00
11
10
00
00
01
10
01
10
00
10
11
10
00
10
10
01
10
00
00
10
10
01
00
10
01
00
11
01
00
10
11
10
10
00
11
10
01
01
00
00
00
00
10
10
00
11
10
10
00
11
10
01
00
01
10
00
10
10
01
01
01
10
11
10
10
00
11
01
00
11
00
00
10
00
01
10
01
11
11
00
01
11
00
00
11
10
01
11
00
01
11
01
00
10
10
11
01
00
11
00
10
00
11
10
01
00
10
10
10
00
01
10
10
01
00
00
10
10
01
00
01
10
10
10
10
10
00
00
10
10
00
01
00
01
00
01
00
10
11
00
11
10
01
10
00
11
11
00
10
10
00
00
10
00
01
11
10
11
10
11
10
00
00
00
11
00
10
01
10
11
10
10
00
00
10
10
11
01
01
10
00
00
11
10
01
10
10
00
00
10
10
10
01
10
10
01
11
10
01
11
01
10
10
00
11
10
11
11
01
00
10
00
11
10
00
11
10
00
00
00
11
11
00
11
00
01
01
10
01
00
01
10
10
01
10
10
10
10
10
00
00
01
11
10
10
00
01
01
10
00
00
00
10
10
10
11
01
01
10
10
00
01
00
01
10
11
10
10
10
11
10
01
00
11
00
00
10
00
10
00
11
10
00
01
00
10
01
00
00
10
10
10
10
01
11
00
01
00
10
10
11
10
10
10
00
00
11
10
00
01
01
10
01
01
10
10
00
11
10
00
00
00
00
11
11
10
00
00
11
11
00
01
10
00
01
11
11
10
00
00
10
01
10
11
00
00
01
01
00
10
00
00
10
10
00
00
11
10
11
00
10
00
01
10
00
00
11
10
00
10
00
11
10
00
00
10
10
11
10
01
10
10
11
01
00
10
00
00
11
00
01
01
01
10
01
11
10
10
11
00
01
01
11
10
00
00
01
00
01
00
10
01
00
00
11
00
00
00
10
00
01
00
01
00
10
10
10
11
01
00
11
00
10
01
10
11
01
01
10
11
11
11
00
00
10
01
00
11
11
01
00
10
01
00
01
00
11
10
00
01
10
00
00
11
10
00
11
00
11
11
10
00
10
01
11
11
00
11
10
00
01
10
10
00
10
01
00
00
00
10
00
10
01
01
00
00
10
00
01
11
10
10
00
11
01
00
00
10
10
11
11
01
10
11
00
10
00
10
00
10
00
10
10
01
01
11
11
01
00
10
10
01
10
10
01
11
10
00
00
11
10
00
10
01
00
11
01
00
00
10
10
01
01
10
10
10
10
10
01
01
11
00
01
01
10
00
10
10
00
01
10
10
01
01
11
00
10
10
10
11
00
10
10
00
10
11
10
00
00
10
01
01
10
01
00
10
00
00
11
00
01
10
10
10
10
10
10
10
01
00
10
00
00
11
10
00
00
10
11
01
00
11
00
01
00
11
10
11
00
00
10
11
00
00
10
10
00
00
10
01
11
01
01
10
10
00
10
00
00
10
11
00
11
00
11
11
11
10
11
10
01
01
10
01
11
01
01
01
10
10
01
00
01
01
10
11
00
10
01
00
00
10
10
00
10
10
00
00
10
10
10
11
11
10
00
00
01
11
11
01
00
10
10
10
00
10
10
00
00
00
00
10
10
11
00
10
11
10
00
10
00
00
00
10
11
10
01
10
00
00
10
01
00
00
00
01
00
11
01
10
11
00
10
10
10
01
00
00
10
00
01
10
10
00
10
00
00
10
11
01
00
01
00
11
00
01
01
01
01
01
00
10
10
00
10
11
00
00
10
11
10
10
11
00
11
01
00
01
10
01
11
01
10
10
01
01
10
10
10
00
10
10
00
00
10
11
00
00
00
10
01
01
01
00
00
00
00
00
10
10
10
10
10
01
10
01
01
11
01
10
01
01
00
10
10
01
01
10
11
10
00
00
11
11
01
00
10
11
00
10
00
10
10
00
00
10
11
00
00
10
10
10
10
11
01
10
10
00
01
00
01
10
10
00
00
10
00
10
11
11
10
00
01
01
11
11
00
00
11
10
01
00
10
10
00
11
01
00
00
10
00
10
01
01
10
10
10
00
10
00
01
11
10
10
00
00
00
00
10
01
01
11
00
00
00
00
11
10
10
00
00
01
10
10
00
00
01
11
10
01
00
11
10
10
01
00
10
01
01
11
10
00
10
00
00
01
11
10
10
00
00
11
00
10
00
10
10
00
11
11
10
10
00
01
00
11
11
10
10
00
10
10
00
00
00
10
10
11
10
01
11
01
11
00
01
11
01
00
11
10
00
10
10
10
00
01
00
11
10
00
00
10
10
10
01
00
10
01
01
01
00
11
10
11
00
10
11
00
00
11
01
00
00
10
10
01
00
01
00
00
00
01
01
11
10
00
00
10
00
10
10
00
11
00
00
00
11
10
00
11
00
11
10
01
11
01
01
10
00
01
10
00
00
00
11
10
01
00
01
10
00
10
01
00
10
10
01
10
01
00
11
00
11
00
10
11
01
10
10
00
10
10
00
10
10
10
10
00
00
10
00
01
10
00
11
10
00
01
11
00
10
10
10
00
01
10
11
10
00
01
11
00
10
00
00
01
00
11
10
01
00
10
10
01
11
10
10
00
00
10
01
01
10
01
11
11
00
01
00
10
00
01
10
11
10
11
00
11
11
01
10
11
11
00
10
10
11
00
10
01
11
10
10
00
00
10
10
01
01
10
01
00
00
01
11
10
10
00
00
00
11
00
01
01
10
00
11
01
10
10
01
11
10
10
00
01
10
10
01
01
11
10
00
00
10
10
00
10
11
10
10
00
10
11
10
01
00
00
00
00
10
10
00
10
11
01
11
00
01
10
10
00
11
10
00
10
10
10
10
01
00
10
00
11
10
00
11
11
10
01
11
10
11
00
00
01
00
11
11
00
01
01
10
01
01
10
11
01
01
10
10
01
11
10
11
10
00
00
00
10
10
00
01
01
11
10
11
00
01
01
10
11
00
00
11
10
11
00
10
11
01
11
10
00
10
10
00
10
00
00
00
00
10
10
00
01
10
00
10
10
10
00
11
00
11
10
01
00
10
00
00
10
11
10
00
10
11
10
00
00
00
10
00
00
00
01
11
11
00
11
10
10
10
00
11
10
00
10
10
00
01
01
01
01
10
00
10
11
11
11
00
00
10
00
01
00
00
10
00
10
01
01
10
11
00
11
10
10
10
00
11
10
10
00
00
00
10
10
00
10
00
11
00
10
00
11
01
00
10
10
11
00
00
00
01
10
00
00
10
11
00
00
11
10
10
10
11
00
00
10
01
01
01
11
00
01
10
01
00
11
11
01
10
10
10
00
10
10
00
00
01
11
11
00
00
10
01
10
10
01
11
01
00
10
10
00
01
11
00
11
10
01
10
01
00
11
10
00
00
10
10
00
11
10
01
00
01
00
00
10
00
00
10
10
00
10
11
10
11
10
11
10
10
11
10
00
00
11
00
00
00
10
11
10
10
00
10
11
10
11
00
10
00
00
11
00
00
01
10
10
11
01
10
11
10
10
00
01
10
00
00
10
00
00
01
11
00
01
10
00
00
01
11
11
11
00
00
01
10
00
10
11
01
00
11
11
00
10
11
01
11
00
00
11
10
11
00
01
10
10
01
00
11
00
01
10
10
00
11
10
00
00
10
10
00
10
10
10
10
00
10
00
01
00
11
00
11
11
00
00
00
10
10
10
00
00
01
10
10
10
10
00
11
10
11
10
00
00
10
00
10
10
00
01
10
10
10
10
00
10
00
00
11
01
01
11
01
01
00
00
11
11
00
10
00
00
10
10
10
10
10
11
11
11
10
11
00
10
11
11
00
00
00
10
11
00
10
00
10
11
11
11
01
11
10
01
11
11
10
00
00
10
01
11
11
00
00
01
00
10
11
10
01
00
01
10
10
01
01
00
00
00
10
11
11
10
11
00
00
11
10
10
00
01
00
10
10
00
10
10
01
10
00
10
10
10
10
00
00
01
10
10
11
00
00
10
00
01
00
10
11
00
11
10
00
10
10
01
10
00
01
00
00
11
11
01
10
10
00
00
01
10
10
10
01
00
10
10
01
00
10
00
00
10
10
00
10
10
10
00
00
00
00
01
00
00
10
11
11
00
11
10
10
00
10
00
00
00
10
10
00
00
10
00
01
00
01
00
10
01
10
10
01
10
10
01
00
10
00
00
11
01
10
00
11
00
10
10
10
00
00
11
10
01
10
00
01
10
00
00
00
11
00
10
10
00
11
00
10
10
00
00
01
00
11
00
00
00
10
00
10
11
01
00
10
00
01
00
10
11
10
11
01
00
01
10
00
01
00
11
00
00
11
10
00
00
00
10
11
10
11
10
00
00
11
10
01
01
11
00
00
01
11
01
11
10
01
10
01
11
01
01
11
00
01
01
00
01
10
10
11
01
10
10
01
00
11
11
10
10
00
01
01
01
10
01
00
11
10
10
00
11
10
00
11
10
10
10
00
11
10
10
00
00
10
00
10
01
00
11
10
01
10
00
00
10
11
00
10
11
01
00
01
11
00
00
11
00
10
10
00
00
00
11
11
00
00
10
00
00
10
10
10
01
10
00
00
10
10
01
10
10
10
11
00
10
10
00
00
00
11
00
00
10
10
00
10
00
00
10
11
10
00
10
00
10
11
10
10
10
00
00
10
00
10
10
00
11
01
11
11
11
11
00
00
01
10
10
00
11
10
01
00
10
11
01
00
00
11
11
10
11
01
00
01
01
00
10
00
01
11
00
00
00
10
11
00
00
11
01
10
10
10
10
01
00
10
00
01
10
01
10
10
00
10
11
10
10
01
10
00
10
00
01
10
00
10
10
11
10
10
00
00
11
00
10
11
10
10
00
00
11
00
11
01
10
10
01
10
11
00
01
11
00
10
00
10
10
00
00
10
10
01
10
11
10
10
10
01
00
00
00
10
10
11
11
01
00
00
10
10
11
11
01
00
00
10
10
01
10
11
00
00
01
01
10
00
01
10
01
00
10
10
11
11
10
11
00
00
11
10
00
00
01
00
00
11
10
11
00
01
10
10
10
11
00
00
00
10
11
10
01
01
00
11
00
01
10
11
00
00
10
10
01
10
11
00
00
11
00
11
00
11
10
00
01
01
01
00
00
11
10
11
10
01
00
10
10
00
00
11
11
00
00
11
00
01
01
11
10
00
00
10
00
00
01
10
10
10
11
00
00
11
10
00
10
11
00
10
00
10
10
00
00
01
01
10
11
10
10
00
00
10
11
10
00
00
10
01
01
10
10
11
01
01
00
00
10
00
00
00
10
10
00
11
01
00
11
10
11
00
10
01
10
10
01
10
11
11
10
00
10
10
00
00
11
11
01
10
00
01
10
00
01
00
10
11
01
11
00
00
00
00
11
01
00
10
01
01
01
10
11
10
00
00
01
10
10
00
11
10
00
10
11
10
01
00
10
01
11
11
00
10
10
10
10
11
01
01
01
11
00
10
10
00
00
11
00
00
11
10
10
11
11
00
00
11
11
11
00
00
10
01
00
10
10
00
01
10
00
01
10
10
10
00
11
10
01
00
11
10
01
11
10
00
01
00
10
00
10
00
00
10
10
00
00
00
01
00
00
11
10
00
10
01
00
10
00
00
10
10
10
01
10
00
00
11
11
10
00
11
10
11
00
01
00
00
00
10
10
01
10
11
00
01
10
10
00
01
11
01
10
01
00
00
10
00
00
10
00
00
10
00
01
01
00
11
11
10
10
00
00
00
10
11
00
11
01
10
00
00
00
11
10
00
10
10
00
01
00
10
00
10
01
00
10
11
01
11
01
01
10
11
00
01
00
11
11
00
11
11
10
01
11
11
10
11
10
00
10
10
01
01
11
10
10
10
01
00
10
00
01
10
11
00
10
11
00
00
11
11
01
01
10
10
10
00
00
01
10
11
01
00
01
00
10
01
10
10
10
00
00
10
01
01
00
00
01
10
11
00
10
10
10
01
00
10
11
11
11
00
01
11
00
10
11
01
00
10
11
01
10
00
00
11
11
00
10
10
00
10
10
01
01
11
10
10
11
11
10
11
01
10
00
00
11
01
00
10
10
00
11
10
10
00
00
10
11
00
11
00
00
10
00
00
11
10
00
10
10
00
00
00
11
01
10
10
00
01
01
10
10
10
11
10
01
11
10
00
00
10
11
11
00
01
00
00
01
10
10
11
00
00
00
00
10
01
11
00
10
00
00
10
10
01
01
11
10
00
10
11
11
10
10
00
00
11
00
00
00
11
11
11
00
00
11
10
10
00
00
11
10
00
01
00
10
01
11
10
10
00
01
11
11
10
01
00
10
01
01
10
10
00
01
01
11
01
01
01
00
10
00
10
01
00
10
00
00
10
10
00
10
00
00
10
00
10
01
01
00
10
10
00
01
10
00
00
11
00
00
00
10
11
01
00
01
10
11
00
10
01
01
10
01
00
11
01
00
11
00
00
10
10
00
00
10
11
00
10
10
00
00
01
00
00
10
11
10
00
00
11
00
01
10
00
00
00
10
01
11
10
10
11
10
01
00
10
01
00
10
00
11
10
10
00
00
01
10
10
01
10
00
11
00
00
10
10
00
00
10
10
00
01
10
10
10
10
10
00
00
01
11
00
00
00
10
00
00
00
10
00
10
10
01
10
00
10
01
00
10
01
00
11
00
11
10
10
01
10
10
00
10
00
01
01
00
11
10
00
10
00
01
00
10
10
10
00
11
01
10
01
01
00
10
10
00
01
11
10
00
00
00
10
10
10
11
10
00
00
00
11
10
10
00
10
10
11
00
10
00
01
01
11
00
00
00
11
10
10
11
00
01
00
10
10
11
11
00
10
10
00
10
01
01
10
11
11
11
00
10
01
10
01
00
00
11
11
10
11
11
00
10
10
01
10
10
00
00
11
00
00
10
10
00
01
10
00
00
10
11
10
10
00
10
10
00
00
00
10
10
00
00
10
01
00
00
10
10
00
00
11
10
01
10
10
00
00
01
00
10
10
00
00
11
01
01
00
10
11
11
10
00
00
11
10
11
10
00
00
10
11
00
00
11
10
10
11
10
00
00
10
01
01
00
10
10
10
00
01
00
10
11
11
10
00
10
00
10
10
01
01
10
11
01
00
00
10
10
00
01
10
10
10
01
00
11
11
00
10
01
00
11
00
00
01
10
11
01
10
11
00
01
10
10
00
10
10
11
01
10
10
01
00
10
00
00
11
11
10
00
11
00
01
00
10
10
01
00
11
00
00
01
11
11
10
01
01
00
00
11
00
01
11
11
10
10
00
10
10
01
00
00
10
10
11
11
00
10
00
00
10
00
10
10
00
10
00
00
00
10
11
10
00
01
11
00
01
01
10
10
00
10
11
01
10
01
10
10
10
11
00
10
01
11
11
11
10
00
10
11
00
11
11
00
11
10
00
01
00
01
10
11
10
00
00
00
00
00
01
10
10
00
00
10
10
11
10
11
00
10
10
00
00
00
00
11
10
11
11
01
01
00
10
01
11
11
00
10
10
01
01
00
00
01
00
11
00
10
10
01
11
00
00
10
01
00
01
01
00
00
10
11
11
00
00
00
10
11
00
00
00
00
11
11
11
10
00
10
00
00
11
11
10
01
00
00
01
11
00
01
01
10
10
00
11
11
11
00
10
10
00
11
10
00
01
10
00
10
10
10
00
10
10
00
01
10
10
01
10
11
10
00
10
00
10
10
00
01
01
10
00
01
00
10
01
00
10
01
00
11
01
10
11
00
01
10
00
00
11
10
00
01
00
00
10
10
00
00
10
10
01
11
11
10
11
01
00
10
00
00
10
11
10
01
10
10
00
01
10
10
00
00
00
00
11
11
11
01
01
00
11
11
01
00
10
10
00
01
11
10
00
01
00
00
10
00
00
10
00
01
10
01
00
11
11
11
10
00
00
10
10
10
00
00
01
11
10
11
00
00
11
00
10
00
10
10
00
10
01
11
00
00
00
10
10
01
11
10
11
00
01
01
00
10
10
10
00
01
10
10
10
00
10
11
00
01
00
11
11
11
10
10
10
00
11
10
00
00
00
01
10
00
10
10
01
10
10
00
11
10
00
00
10
11
11
00
10
01
00
00
00
00
11
10
11
00
00
11
00
00
10
10
00
00
10
10
01
10
11
00
10
11
11
00
00
00
10
01
00
10
00
01
00
11
10
00
00
00
01
10
10
00
10
00
01
11
01
00
01
00
10
00
00
10
10
11
00
10
11
00
01
00
10
10
11
00
00
11
10
00
10
10
00
10
01
00
10
11
01
01
10
10
11
00
11
10
11
00
10
10
00
11
00
00
10
11
00
11
11
00
10
11
10
01
00
10
10
00
00
10
10
01
10
01
10
10
10
00
11
00
10
11
11
00
10
01
00
10
10
00
00
00
10
11
10
00
00
01
11
10
10
01
00
11
10
10
11
10
10
10
00
00
00
11
01
10
11
01
00
11
01
01
00
01
10
11
11
00
00
11
10
01
01
10
10
00
00
00
10
11
00
10
11
00
00
00
00
11
01
00
11
00
10
10
10
11
01
00
01
00
11
10
10
00
00
00
11
11
10
01
01
10
00
10
00
01
10
10
01
01
11
00
11
10
00
10
11
10
00
00
10
10
10
00
00
10
11
10
10
00
10
11
10
01
00
10
10
10
00
00
10
11
00
00
00
00
10
10
01
00
01
11
10
11
11
10
11
10
01
10
01
00
11
00
00
11
00
10
10
01
10
01
11
00
00
00
00
10
10
10
00
10
10
01
01
01
00
10
11
10
01
00
11
10
10
00
00
10
11
01
00
10
01
01
00
00
00
10
11
10
00
00
10
11
10
10
00
00
00
10
10
01
00
11
10
11
11
11
00
01
01
10
11
01
10
01
01
11
00
01
10
11
00
01
11
10
00
00
00
00
10
11
00
11
10
10
10
00
10
00
00
10
10
10
00
01
10
01
00
01
10
10
11
01
01
10
10
00
10
10
11
01
00
10
10
01
00
01
10
01
00
10
10
10
11
00
11
10
10
01
00
00
11
00
00
11
10
10
11
00
00
10
01
00
10
10
10
00
10
10
01
00
11
10
10
10
01
10
10
00
00
00
10
10
11
00
11
00
10
10
00
10
10
10
01
00
10
10
00
10
01
00
11
00
01
01
10
11
10
01
00
01
10
01
10
10
11
11
00
00
00
10
01
10
11
00
00
10
11
00
00
01
01
00
01
01
11
00
01
00
01
11
10
11
11
11
00
01
10
10
00
00
00
01
10
00
00
10
10
11
00
11
11
11
00
10
11
01
00
11
11
11
01
11
10
00
11
10
01
01
00
11
10
11
11
10
01
01
00
00
10
10
11
10
00
10
00
00
01
00
10
01
01
00
10
11
00
10
10
11
01
00
11
11
00
00
00
10
11
11
00
01
10
10
01
01
10
11
10
00
00
10
10
10
00
00
00
10
10
10
10
00
01
10
10
10
10
11
00
01
00
00
10
01
00
10
00
10
10
10
10
00
00
00
00
01
10
10
10
10
10
00
01
10
00
10
10
00
10
10
00
10
01
11
10
01
10
10
11
00
00
01
10
10
11
10
00
00
01
10
10
00
01
00
10
01
10
00
00
11
01
00
11
10
10
00
01
11
11
00
10
11
00
01
10
11
00
01
00
00
10
11
01
00
11
00
11
11
00
01
11
11
00
01
10
11
00
00
10
10
01
00
00
11
10
00
10
11
00
00
00
10
00
11
00
00
10
00
00
01
10
10
11
00
10
10
10
00
11
01
01
10
10
10
10
10
11
00
00
00
11
00
11
00
00
10
00
10
10
00
00
10
01
11
11
10
00
10
10
10
00
00
10
00
00
00
10
01
00
00
10
00
10
00
01
10
00
00
00
00
01
00
10
10
10
00
01
10
11
10
00
01
00
01
10
11
00
10
00
00
11
10
10
01
10
01
11
10
01
01
10
00
10
10
11
11
01
01
10
01
00
01
01
10
01
10
01
00
11
10
10
00
00
00
10
10
01
10
00
01
01
11
10
11
00
01
00
11
00
00
11
11
01
00
11
01
11
00
00
11
01
01
01
10
10
11
00
00
00
11
10
10
00
00
00
10
10
11
01
10
01
00
10
10
11
01
00
11
10
10
10
00
00
00
10
10
00
10
00
00
11
10
01
00
11
00
10
00
01
00
10
11
00
00
00
10
10
10
10
00
10
00
01
01
01
10
00
10
10
00
01
00
10
11
00
01
10
10
01
10
10
00
00
11
01
00
10
10
01
11
00
01
10
10
10
10
00
00
10
10
11
00
00
10
00
10
00
10
10
10
10
10
11
00
01
11
10
10
11
01
00
00
11
00
11
10
01
00
10
10
00
00
10
00
10
11
10
01
11
01
10
10
10
01
00
00
00
10
10
10
11
00
00
00
10
10
10
10
10
10
10
00
10
11
00
11
01
00
11
00
00
10
00
01
11
01
01
00
00
11
11
00
00
10
10
10
00
01
00
10
10
00
01
01
00
00
00
10
00
00
10
11
01
11
10
00
01
00
10
00
00
11
10
10
01
10
11
00
11
11
11
00
00
10
10
11
01
00
10
11
11
00
10
11
00
01
10
10
11
10
00
00
01
11
10
10
00
01
10
10
00
00
10
10
01
01
00
10
11
10
01
00
10
11
00
00
01
10
10
10
01
10
01
10
11
00
00
10
11
01
00
10
10
00
00
11
10
00
01
10
00
00
00
10
00
10
10
01
00
01
00
00
10
00
10
10
00
01
11
00
01
00
10
10
00
10
10
00
00
00
11
10
11
01
01
00
01
00
11
00
10
10
00
01
11
11
01
10
10
10
10
10
00
10
11
00
01
01
00
11
00
11
00
01
10
00
00
01
01
11
00
10
00
00
00
00
11
10
00
00
11
10
10
00
01
01
01
10
10
10
11
10
10
00
00
10
11
10
00
00
10
00
01
10
10
01
10
01
10
00
01
00
01
10
01
11
00
10
11
11
01
00
00
10
01
01
10
11
01
10
00
11
10
01
00
11
01
00
10
10
00
10
10
00
01
10
01
10
01
10
10
00
00
01
11
10
01
11
01
11
11
01
11
10
00
00
10
11
00
01
11
11
10
00
00
01
10
10
00
01
01
10
10
10
10
10
10
01
01
00
10
00
01
00
00
10
10
00
11
00
01
00
00
00
10
00
00
00
11
10
01
00
00
01
00
11
00
11
10
11
00
10
00
01
11
10
10
01
10
01
11
10
01
11
00
11
10
01
00
01
10
11
00
00
00
10
10
01
00
10
11
10
11
01
00
01
10
10
00
10
11
00
10
11
00
00
00
11
00
01
10
00
11
10
10
10
01
00
10
00
10
10
11
10
01
00
01
10
01
10
01
00
11
00
01
00
11
11
00
11
10
11
00
11
11
00
00
10
10
00
10
10
10
00
11
00
01
01
11
10
00
10
00
01
10
10
00
01
10
11
11
10
01
00
10
11
00
00
10
11
01
01
11
10
01
00
00
10
01
01
00
01
10
00
11
00
00
10
10
01
10
11
00
11
11
01
01
11
00
01
11
10
10
00
00
10
10
00
10
00
11
10
01
00
10
01
00
11
11
10
10
01
00
11
00
11
00
00
10
10
11
01
10
11
10
10
00
00
00
00
10
11
10
00
10
00
10
10
00
01
01
11
11
00
00
00
10
00
00
10
10
10
10
01
00
11
10
00
10
10
11
00
00
00
01
00
10
10
10
00
10
00
10
11
00
10
10
10
11
10
11
00
00
10
00
10
10
10
00
00
11
01
10
00
11
00
00
00
11
11
00
10
10
00
11
10
10
11
00
00
00
10
00
10
11
00
00
11
10
10
00
00
11
00
00
11
10
11
01
10
11
01
01
00
10
10
00
00
00
10
00
00
10
00
01
10
11
00
00
10
00
00
10
11
11
01
01
00
00
10
01
00
10
10
01
00
00
01
10
11
00
10
10
10
00
00
10
00
11
11
01
01
01
10
00
10
10
00
01
10
00
11
10
10
11
11
00
00
10
10
01
00
00
11
00
01
10
01
11
01
11
00
10
01
01
11
00
10
10
10
00
00
01
01
10
10
01
10
10
11
10
01
00
00
01
10
11
11
10
00
10
01
10
00
00
00
10
10
00
10
11
10
00
00
00
10
10
00
10
11
00
01
11
00
10
11
00
01
00
10
10
01
00
01
00
10
11
10
01
10
00
01
10
10
10
00
01
00
01
10
00
01
10
10
00
00
10
11
00
10
01
00
00
01
01
10
00
11
11
11
01
11
00
01
00
00
10
00
00
10
11
01
11
01
00
10
10
11
00
00
10
11
10
11
10
10
00
00
01
10
11
10
10
00
00
01
10
00
00
11
00
01
10
01
00
01
01
11
00
01
10
10
10
00
10
10
10
01
00
00
00
00
11
01
10
10
01
00
10
11
11
11
01
10
10
10
00
10
11
00
00
11
11
10
00
00
10
10
10
01
11
11
01
10
01
10
11
00
10
01
01
10
10
10
00
00
10
10
00
10
10
10
11
01
10
10
10
10
01
11
01
10
00
10
10
11
10
00
01
10
00
10
10
00
10
01
00
01
10
11
10
11
01
01
10
11
11
00
01
10
10
11
01
01
10
01
00
00
11
11
10
00
00
00
00
01
11
10
00
01
11
11
00
10
10
01
11
01
00
10
10
10
00
00
10
01
10
00
00
11
00
11
00
11
11
10
11
00
00
10
00
00
00
01
11
01
11
00
10
10
01
00
00
11
10
10
10
10
10
10
00
10
01
10
10
01
10
10
00
00
10
00
11
11
10
10
01
10
11
00
00
10
10
00
00
11
10
00
01
11
00
10
01
00
01
11
00
10
10
10
00
11
11
00
11
00
10
00
00
10
10
10
01
00
11
11
10
00
00
10
10
01
01
01
00
10
10
10
00
01
11
10
11
10
10
00
00
00
10
10
00
11
11
11
10
00
10
11
00
00
00
10
10
10
00
00
01
10
00
00
00
10
10
00
00
11
10
01
00
10
00
00
10
11
00
00
01
10
10
01
11
00
10
11
11
01
00
10
10
01
10
11
00
00
10
00
01
10
00
01
00
10
00
11
11
11
00
10
01
11
10
01
00
11
00
00
10
01
01
11
11
10
00
00
00
10
00
01
11
01
00
10
00
00
00
00
10
10
00
00
00
11
11
10
10
00
00
10
00
11
10
11
01
00
11
10
00
01
01
10
00
10
00
00
10
00
00
10
10
01
11
01
10
01
00
00
00
10
01
11
10
00
10
11
00
00
01
11
00
01
11
11
10
00
00
11
10
00
00
10
10
10
00
00
01
11
11
00
10
10
11
11
01
01
10
11
00
00
01
10
11
10
00
01
00
11
11
00
00
01
00
10
10
00
00
01
10
10
01
00
11
00
10
01
10
00
00
00
10
00
00
10
10
00
00
10
10
01
00
10
11
01
11
00
00
10
11
10
11
00
00
01
10
10
00
00
10
00
00
10
00
01
11
10
10
00
00
00
01
10
01
00
10
00
01
00
00
10
10
01
00
00
10
11
01
10
10
00
01
00
01
00
11
10
01
11
11
11
01
01
00
00
10
11
11
00
00
10
10
00
10
11
00
11
00
10
01
00
11
00
00
01
10
10
01
10
11
10
10
01
01
10
11
11
01
11
10
00
00
10
10
10
01
01
11
00
10
01
00
10
01
00
10
11
10
01
01
11
11
11
01
01
00
00
10
10
01
00
10
10
10
11
11
00
10
00
10
10
10
11
00
10
01
00
10
11
01
00
10
10
11
10
00
00
11
11
00
10
00
01
10
10
10
00
00
00
00
11
01
00
01
00
01
11
00
00
01
10
10
00
00
11
00
00
10
11
01
00
00
10
11
10
00
01
10
11
01
10
01
10
01
11
00
00
11
11
00
00
11
01
00
10
00
00
11
00
01
10
00
00
00
00
10
10
00
00
10
00
10
00
10
11
00
10
01
01
00
01
11
00
00
01
10
11
10
01
00
00
00
11
00
01
10
11
10
11
01
11
00
01
10
11
11
00
00
10
10
00
11
11
01
00
10
01
11
11
10
11
00
01
00
00
01
10
10
00
10
10
00
00
11
10
00
00
10
10
00
10
00
10
00
10
10
00
10
11
10
10
00
00
10
11
11
01
10
00
11
00
11
10
01
01
01
11
10
10
00
10
10
10
10
01
11
11
00
10
10
10
10
00
00
00
00
00
10
01
10
10
10
10
11
10
11
00
10
01
00
11
00
01
10
10
11
10
11
10
00
00
10
01
01
00
01
00
10
01
11
00
01
10
10
00
00
00
10
00
00
10
10
00
00
10
10
00
01
00
01
00
01
00
10
01
10
10
00
10
01
00
01
11
11
01
11
00
10
10
00
01
10
10
11
01
10
11
00
11
10
01
10
00
10
10
10
00
01
10
10
11
00
00
11
01
00
11
00
01
10
00
01
00
10
11
11
01
00
00
10
10
00
11
00
00
00
10
10
00
00
01
10
11
01
10
00
00
00
10
10
00
10
10
00
10
01
11
01
11
00
01
01
11
10
10
11
11
00
00
00
10
01
10
11
00
00
10
10
11
10
10
00
10
11
10
11
01
00
10
00
11
01
10
10
01
11
01
10
01
00
00
10
10
00
10
00
10
10
00
00
11
11
00
11
00
10
10
10
01
00
01
10
00
00
00
00
00
00
10
10
00
10
01
10
00
01
10
10
11
00
01
10
11
10
11
00
10
00
00
01
10
00
01
00
00
10
10
10
11
01
01
10
10
10
10
10
11
00
01
10
10
01
00
00
11
01
10
10
00
00
00
10
11
10
11
00
10
10
11
11
01
00
11
10
10
01
01
10
11
01
10
11
10
01
10
11
00
00
01
10
01
10
00
00
00
11
01
11
10
01
01
10
11
11
01
11
10
00
01
00
10
00
10
10
11
10
00
10
10
11
10
01
10
10
00
00
00
01
10
11
11
11
01
11
10
01
11
10
01
01
00
11
10
11
11
01
00
00
10
11
10
10
01
00
10
10
11
01
10
10
01
00
10
00
00
00
00
10
10
01
01
10
00
01
00
00
10
10
10
00
11
00
00
11
10
00
11
00
00
11
01
00
01
11
10
11
10
10
10
00
01
11
11
00
01
00
10
01
10
10
11
10
01
10
01
00
00
00
00
11
10
11
00
01
10
10
01
11
01
01
10
11
01
01
10
10
00
01
10
10
11
00
10
10
00
10
00
01
10
11
01
11
01
00
10
00
01
10
00
11
10
10
00
01
11
10
00
10
01
00
10
00
00
11
10
01
00
11
11
00
11
11
10
10
11
10
00
01
10
00
10
10
00
10
11
00
00
11
10
00
00
10
00
10
10
00
10
10
10
00
01
10
10
00
11
11
10
10
10
10
01
11
11
00
00
00
10
00
00
00
10
10
01
10
10
00
00
10
00
00
10
00
11
11
01
01
00
01
10
01
01
10
00
00
10
11
01
01
11
10
10
10
00
10
00
01
11
00
01
11
10
01
10
11
11
01
00
00
10
11
10
00
11
01
10
10
00
00
00
10
00
01
00
10
00
10
10
00
00
00
10
11
11
10
00
00
10
01
10
00
00
10
10
10
01
10
10
01
00
00
11
00
10
10
00
11
00
11
01
10
00
11
00
00
10
00
10
00
00
10
00
00
00
10
01
00
00
10
11
10
11
00
00
11
11
01
10
11
00
11
00
10
10
00
00
11
01
01
11
00
00
11
00
10
01
00
01
11
01
10
10
01
00
10
11
00
10
00
10
10
01
00
11
00
00
00
01
10
00
01
00
11
10
00
00
10
10
01
00
10
01
00
11
11
00
00
10
10
00
10
10
11
11
00
01
00
11
10
01
00
00
10
10
00
00
01
10
00
10
00
01
00
11
10
00
11
10
01
10
00
01
10
10
00
00
10
01
01
11
10
01
00
00
10
00
00
10
11
10
01
00
00
00
01
00
10
10
01
11
10
00
10
00
10
10
00
00
01
10
10
00
10
01
11
01
00
11
10
00
10
10
10
00
11
01
11
00
10
10
10
01
01
00
10
00
00
11
01
00
00
11
11
10
00
00
01
10
00
10
00
00
10
01
00
10
10
00
00
11
00
11
00
01
01
00
10
00
01
10
11
11
01
01
10
10
10
00
00
10
10
00
01
10
10
00
01
01
10
01
00
00
10
11
11
00
01
10
10
11
01
00
10
00
11
01
11
01
10
10
00
01
01
00
00
11
10
10
00
00
10
10
10
00
01
00
00
10
10
10
11
10
10
10
00
10
11
10
00
10
00
11
10
11
10
10
00
10
00
00
10
10
01
10
11
11
00
01
11
00
11
00
00
00
10
11
11
01
01
11
10
00
10
10
11
00
11
00
11
10
11
10
00
10
00
11
10
10
00
11
01
00
10
00
11
00
10
00
01
00
10
10
00
11
10
00
01
10
10
00
00
10
10
00
00
10
10
10
11
10
00
11
10
01
10
10
10
10
10
11
00
00
11
00
01
01
11
00
00
10
10
10
00
00
10
10
10
01
01
10
10
01
10
00
00
01
10
00
10
10
01
10
00
01
10
00
10
10
11
10
00
10
10
01
11
00
01
11
00
10
10
10
10
00
00
01
00
10
00
11
01
00
00
10
10
10
10
00
00
11
01
11
10
10
11
01
01
00
00
10
11
11
11
00
10
00
11
11
01
00
10
00
01
11
01
01
10
10
00
10
00
10
11
01
01
10
00
00
00
01
10
00
00
01
10
11
10
00
10
00
00
10
00
10
00
00
11
10
00
00
00
00
10
10
10
00
10
00
00
01
01
01
11
10
11
00
01
10
01
10
00
01
10
10
00
01
00
11
10
11
11
10
11
11
10
00
00
10
11
00
01
01
01
11
10
01
00
01
10
10
00
00
11
01
00
10
10
11
00
10
00
10
10
11
00
11
01
01
10
00
00
10
00
00
00
00
00
10
00
00
10
10
10
10
10
10
00
00
11
10
01
10
00
10
00
10
10
00
00
11
10
01
10
00
00
10
11
00
01
10
00
00
10
11
00
01
11
00
00
10
10
01
11
00
01
10
11
01
10
10
00
10
01
11
10
00
11
10
10
00
11
01
00
10
00
10
10
11
00
10
10
11
11
01
01
10
10
01
01
11
00
00
01
01
00
00
10
10
00
00
10
00
00
10
01
10
11
11
01
00
10
10
00
01
11
10
00
00
10
00
10
00
00
10
01
00
01
10
11
10
10
10
00
00
10
00
01
10
11
11
10
00
10
00
10
01
01
10
10
10
10
10
01
01
11
00
10
01
11
10
00
00
10
10
00
10
11
00
01
11
01
00
00
11
10
01
11
00
00
10
00
10
01
00
10
11
00
01
10
11
01
00
00
10
11
10
10
01
10
01
10
10
00
00
10
11
01
01
00
01
11
10
10
10
11
11
00
01
01
11
10
10
10
10
00
00
10
10
01
01
10
10
00
11
00
10
00
10
10
00
00
01
11
11
10
10
00
11
10
00
10
10
10
10
10
10
01
10
10
00
11
01
10
10
11
00
01
10
00
00
10
10
10
00
01
01
00
11
01
01
11
11
11
01
10
10
00
00
10
10
00
00
00
10
11
01
10
11
10
01
10
00
01
01
00
11
11
00
11
10
00
00
10
10
10
00
01
10
11
00
11
10
00
01
11
10
01
00
00
10
01
10
10
10
01
11
01
10
11
00
01
00
00
10
11
01
10
00
00
10
10
10
00
00
00
10
10
10
10
00
00
10
00
00
10
00
00
00
01
10
00
00
11
10
10
10
10
01
10
01
00
00
10
00
00
10
01
10
10
00
00
11
01
10
01
11
01
10
00
00
00
11
10
01
01
11
00
00
01
10
11
00
00
11
10
11
00
11
11
00
10
11
00
10
10
00
01
01
10
10
00
11
10
00
00
10
00
10
11
10
00
00
01
10
01
00
11
01
00
00
11
10
00
11
10
10
10
11
01
01
00
11
00
00
10
10
00
01
10
10
11
10
00
00
00
10
11
11
10
10
10
00
11
01
10
10
01
01
00
10
10
00
01
10
10
11
10
01
10
00
00
00
00
10
00
10
10
01
11
10
01
10
10
01
01
00
11
00
10
11
10
00
01
10
10
11
00
00
10
01
11
11
11
11
11
01
01
10
00
00
10
11
00
11
00
00
01
00
10
10
01
00
00
10
10
01
10
00
00
01
01
10
11
10
10
00
01
10
10
01
01
11
01
10
01
00
11
10
00
00
10
00
01
10
11
00
01
10
11
00
00
10
00
00
00
00
01
00
10
10
11
01
00
01
10
10
01
01
00
01
11
11
01
00
00
00
10
10
11
00
00
10
10
10
10
01
10
10
00
01
10
00
10
10
00
10
00
10
00
10
00
00
01
00
10
10
11
00
11
00
00
00
10
01
00
11
10
00
00
00
10
00
10
10
01
11
10
10
10
10
00
00
00
00
10
00
11
10
00
00
10
10
10
00
10
01
00
10
00
00
10
10
01
01
10
10
00
00
10
10
10
00
00
00
10
10
00
10
11
10
11
01
11
10
01
00
10
11
10
01
00
10
11
11
01
01
11
00
00
11
11
10
10
00
00
00
00
11
10
00
10
10
11
01
01
10
00
11
00
10
00
00
10
11
01
01
01
00
10
10
10
00
10
11
10
00
11
01
01
10
01
00
10
11
10
01
00
10
10
11
00
10
01
00
10
10
00
10
10
00
01
00
10
00
11
11
01
10
10
00
11
01
11
01
00
11
10
10
00
01
00
11
00
11
00
10
10
00
10
11
00
00
11
10
00
00
01
10
00
00
10
10
10
00
01
00
11
01
10
10
11
10
00
00
11
01
01
01
01
10
01
10
11
10
00
00
10
10
01
10
10
11
00
00
10
10
10
10
01
00
00
11
00
00
01
10
11
00
01
10
11
01
01
11
10
01
01
11
01
10
10
00
10
00
10
11
10
01
00
10
00
10
00
11
01
00
11
10
10
10
01
10
10
01
00
10
11
01
10
10
10
00
00
10
00
00
11
10
00
00
00
11
10
01
01
10
10
01
01
10
11
11
11
00
00
00
10
10
01
00
10
00
00
10
10
00
01
00
10
11
00
10
00
10
10
00
10
10
00
10
10
11
00
10
10
00
00
00
10
10
01
00
10
00
00
00
10
10
10
00
01
10
01
10
11
01
11
00
10
11
00
00
10
00
00
10
01
00
10
00
01
11
00
00
00
00
10
10
00
10
11
01
00
01
10
10
00
10
00
10
11
00
00
10
11
11
11
00
01
00
00
10
10
10
01
00
11
01
01
00
00
00
00
00
10
11
11
10
10
11
11
10
10
10
00
10
00
00
10
10
01
10
00
10
00
00
10
11
11
10
10
11
10
10
10
00
00
00
11
00
00
10
01
00
01
00
00
10
00
00
11
00
01
00
00
00
10
11
10
00
00
00
10
00
10
00
01
10
00
01
11
11
01
01
10
00
01
00
00
10
11
11
00
01
01
10
10
10
01
00
10
11
10
10
00
00
01
11
11
00
11
00
01
00
10
10
00
00
00
10
11
00
00
00
00
00
00
10
10
01
00
11
01
11
00
00
10
00
00
10
10
01
11
11
10
01
00
00
00
11
10
00
10
10
00
10
00
11
00
10
00
10
10
00
10
00
10
00
10
10
10
10
01
11
01
01
11
10
01
11
00
01
10
11
00
00
11
11
11
00
01
11
00
10
00
00
11
00
01
11
11
10
10
00
00
10
10
01
01
10
01
10
00
10
10
00
10
00
01
10
00
01
10
10
11
10
00
11
10
10
00
11
00
10
11
10
10
01
10
11
00
10
00
10
11
00
00
10
00
11
11
00
10
10
01
10
01
10
11
11
11
01
01
00
10
00
01
00
10
00
00
01
10
10
01
10
10
00
10
10
00
10
10
10
10
00
01
00
01
01
01
10
10
10
11
00
01
00
10
10
00
00
10
00
10
10
10
00
10
00
10
10
11
00
11
10
01
11
10
00
01
10
11
00
01
01
00
01
10
10
01
11
11
10
11
00
00
01
10
00
00
10
10
11
11
10
00
11
10
11
01
00
11
10
00
00
00
00
10
11
01
00
00
10
11
10
00
10
00
00
11
01
10
10
00
10
10
00
11
11
00
10
11
00
00
11
10
01
00
00
00
10
11
00
11
11
11
00
11
10
10
10
00
00
10
01
00
01
00
00
10
10
10
00
00
10
10
00
01
11
10
00
10
10
01
10
10
00
00
00
10
00
01
11
10
00
11
11
10
00
00
10
10
10
00
00
10
00
01
11
11
00
10
10
10
00
00
10
00
11
10
10
01
01
01
11
00
00
10
11
11
11
00
01
11
11
00
00
10
10
11
00
01
10
10
10
01
10
11
10
01
10
01
01
10
11
00
00
00
00
10
01
11
10
10
00
11
00
01
01
11
01
00
10
01
00
11
00
00
10
10
11
01
11
11
00
01
11
10
11
11
01
00
00
10
00
10
11
10
01
11
11
10
01
00
01
11
10
01
00
10
00
00
10
10
11
00
01
11
01
10
00
11
11
01
00
10
11
00
01
10
00
00
10
10
01
11
11
10
01
00
10
00
01
00
00
10
10
10
01
10
00
10
10
11
00
00
10
10
00
00
10
10
01
00
10
11
00
00
11
10
00
01
11
11
00
00
10
10
00
00
10
00
00
10
01
00
01
00
10
11
11
01
01
00
10
00
00
10
01
11
10
01
11
01
00
00
01
01
11
10
01
00
10
10
11
00
10
11
00
00
00
11
10
10
00
11
10
10
00
00
00
10
10
01
10
11
10
00
10
11
10
01
00
11
10
00
00
10
11
00
00
00
00
10
00
01
10
10
00
11
00
11
01
01
01
10
11
00
00
10
10
10
01
11
10
10
00
00
11
00
10
01
01
10
10
00
01
00
10
11
00
00
00
10
00
00
10
11
00
11
00
11
10
10
00
01
10
00
10
10
01
00
10
11
10
11
11
10
10
10
00
11
00
01
00
00
10
01
00
00
01
10
01
10
00
10
00
01
10
01
01
10
11
11
11
00
01
10
01
10
10
00
00
01
10
01
10
10
01
11
10
01
11
00
00
00
00
10
10
00
00
01
00
01
01
10
11
10
11
00
01
10
10
00
01
10
11
10
01
00
10
10
10
01
00
01
10
00
11
00
00
00
00
11
10
01
11
10
11
00
01
01
10
11
00
01
10
00
01
11
00
10
10
00
10
10
11
01
00
10
00
10
10
10
10
00
10
00
10
10
10
00
01
11
01
10
10
00
00
00
00
00
10
11
00
11
11
00
00
11
10
11
10
01
00
00
10
10
10
00
00
10
00
10
01
10
11
01
10
01
11
10
00
00
10
10
10
00
00
10
00
01
10
00
01
00
11
00
11
10
00
10
00
01
01
10
11
10
11
00
10
10
01
00
00
00
11
00
10
10
11
10
10
00
00
00
10
10
10
00
11
11
01
10
11
10
00
10
11
10
00
01
00
00
00
00
01
01
11
10
00
10
01
00
00
11
00
10
00
00
10
00
00
01
10
11
01
00
01
00
11
11
10
01
00
10
11
11
00
01
10
11
11
11
10
10
00
01
10
10
00
00
11
00
00
10
00
01
00
01
10
11
00
00
10
10
01
10
01
00
00
11
10
01
10
10
00
00
10
00
01
11
10
00
01
01
11
11
10
10
11
00
00
00
11
10
10
10
10
10
00
01
00
01
00
10
11
00
11
01
10
11
00
00
11
00
00
10
10
01
00
10
11
00
11
00
01
10
10
01
00
00
00
11
01
00
10
10
11
11
00
00
00
00
10
01
00
10
00
10
10
00
10
11
00
00
00
10
00
00
00
00
10
01
10
10
11
10
00
01
11
11
00
00
00
11
11
00
10
10
00
00
10
10
00
00
00
00
11
11
00
10
11
00
00
01
01
00
11
10
10
10
11
01
01
11
11
10
00
11
00
01
10
11
00
00
11
00
11
11
01
01
10
11
10
10
10
11
00
00
11
10
10
00
10
00
10
10
01
10
11
11
11
00
00
00
10
10
10
10
00
00
00
10
10
00
00
01
11
00
10
11
01
01
10
10
00
11
01
10
01
00
10
11
10
10
10
00
00
00
00
10
00
00
10
10
10
01
10
10
01
00
10
00
00
10
00
10
10
10
01
11
00
11
00
00
10
11
11
00
00
11
01
01
01
10
11
00
01
10
01
00
10
10
00
00
10
00
00
11
10
11
10
10
00
00
10
01
00
10
00
01
11
01
00
00
10
00
01
10
00
00
01
10
00
10
10
01
00
10
10
11
01
11
11
00
00
00
00
10
10
11
00
01
11
00
11
10
00
10
01
00
00
00
10
11
11
01
01
11
00
10
01
00
10
00
01
10
10
00
00
11
11
00
11
10
01
00
00
11
10
00
00
00
10
00
10
11
01
10
10
01
01
11
10
10
11
00
00
00
01
00
00
10
00
01
01
10
10
11
10
00
01
10
11
10
01
00
00
10
10
10
00
00
11
11
10
01
00
10
00
10
10
11
00
00
10
10
00
00
10
10
01
10
00
01
00
00
10
10
00
11
10
11
10
00
01
00
00
11
00
00
00
01
11
00
00
11
01
00
00
11
10
00
01
10
01
10
00
00
11
10
00
00
10
00
11
11
00
00
10
11
10
10
11
10
01
10
00
00
00
10
01
00
10
01
10
00
11
00
01
00
00
11
00
00
10
00
01
10
10
00
11
10
10
00
10
11
00
11
00
00
01
00
10
11
10
00
00
01
11
10
00
00
01
11
10
10
10
11
00
01
10
10
00
00
00
01
10
10
00
11
11
10
00
00
11
00
00
00
00
10
10
01
01
01
11
00
01
10
00
10
00
00
11
10
00
00
11
00
10
10
00
00
11
00
01
10
11
01
10
10
10
01
00
11
10
00
10
10
11
01
00
01
00
10
00
00
11
11
00
00
00
01
01
00
11
10
11
10
00
10
11
10
01
01
10
11
01
00
11
10
01
11
10
00
00
10
11
10
10
00
00
01
01
10
10
00
10
00
00
11
10
10
00
10
00
00
10
00
10
10
11
11
01
01
10
10
00
11
11
00
00
10
10
00
11
00
10
10
00
10
10
00
11
00
00
01
00
10
10
10
00
00
00
10
00
10
11
01
00
00
10
10
10
00
00
10
10
10
00
00
10
01
00
00
00
00
00
11
11
10
01
00
10
10
00
10
10
01
00
00
00
01
10
10
10
00
00
11
00
10
00
10
11
10
01
01
00
10
01
00
10
11
00
00
11
11
00
00
10
10
10
00
00
01
11
11
01
01
10
01
10
00
01
11
10
00
00
10
00
11
01
00
11
00
00
01
01
10
11
10
01
00
10
00
00
01
11
01
00
10
01
11
00
11
00
11
00
00
01
00
10
11
11
10
00
01
00
00
00
10
10
00
01
00
01
11
10
01
10
11
00
10
10
01
11
11
00
00
01
00
01
00
10
01
10
10
11
01
01
00
10
10
10
00
00
00
10
10
01
00
00
00
00
10
11
00
10
01
00
01
01
00
11
01
11
11
10
01
01
11
10
00
00
10
00
11
01
00
10
00
11
10
10
10
00
10
11
00
10
11
00
01
10
00
10
10
00
00
10
01
00
10
10
10
00
10
10
00
11
10
10
00
11
00
11
10
01
10
11
10
11
01
10
00
00
00
01
11
10
00
11
01
10
00
00
10
01
01
10
01
00
00
10
10
00
11
11
11
00
00
11
11
01
00
00
10
00
01
00
00
10
10
10
10
10
11
01
00
00
10
10
10
00
10
01
00
10
00
10
10
01
00
11
10
11
11
10
11
10
00
01
10
11
00
10
11
01
10
10
00
00
11
11
00
11
00
11
10
10
00
00
10
10
11
00
00
10
10
01
00
11
00
11
10
10
00
00
10
10
10
10
10
10
00
00
11
00
00
10
11
01
11
10
00
10
00
00
11
10
01
10
01
10
00
11
00
01
10
01
11
10
10
10
00
10
11
01
00
00
00
10
00
00
10
01
10
10
00
00
00
00
10
10
00
01
01
10
11
10
00
10
00
00
00
00
10
00
10
10
00
01
00
10
01
01
10
00
01
00
01
10
11
00
00
10
10
10
01
01
10
00
00
00
00
10
00
10
01
10
00
00
01
00
00
00
10
10
00
10
10
01
11
01
00
00
00
00
10
11
01
00
01
10
00
10
11
00
10
10
00
01
01
00
10
11
00
10
01
11
10
11
00
01
01
10
11
00
00
10
10
00
00
01
10
00
11
10
10
11
10
00
10
10
10
00
00
00
10
10
00
00
10
01
10
10
01
10
11
11
00
00
10
10
00
01
10
01
10
00
00
01
10
11
00
00
11
10
10
00
00
10
00
10
00
10
10
00
11
00
00
01
00
10
11
00
01
10
01
00
10
01
10
00
00
01
00
11
01
00
10
01
00
10
10
01
11
01
00
11
00
10
01
11
10
00
01
10
01
10
01
00
11
10
00
00
11
10
11
01
00
10
10
11
00
11
10
10
00
01
10
10
10
01
01
10
00
00
10
00
01
10
01
00
10
11
01
00
10
10
10
10
11
00
10
00
00
10
11
11
11
01
00
10
00
11
01
00
11
10
11
11
00
00
00
00
10
10
00
00
11
10
00
10
10
00
11
00
11
10
00
00
10
11
11
11
00
00
10
10
10
00
00
11
10
01
10
10
10
00
00
11
10
00
00
01
11
01
11
10
11
10
00
10
10
00
01
00
11
01
00
10
10
10
10
10
01
00
01
10
10
00
10
10
10
00
10
10
11
11
00
00
01
11
11
00
00
10
10
00
00
00
10
00
00
10
10
00
01
10
00
11
00
11
11
00
00
10
10
00
10
11
10
10
01
00
01
10
10
10
01
10
00
00
10
00
10
10
00
01
00
10
10
11
10
11
01
00
10
00
10
11
10
10
10
00
00
11
10
11
00
10
01
00
10
00
10
00
01
00
01
00
10
11
10
00
11
01
00
01
10
10
00
01
10
00
00
11
10
01
00
10
10
00
01
10
11
01
00
00
00
00
11
00
01
10
01
00
01
00
11
10
00
11
00
11
01
00
11
01
00
00
11
10
10
10
00
00
01
10
10
00
00
10
10
10
00
11
00
01
10
01
00
01
00
10
10
00
00
10
00
00
10
10
10
00
10
10
00
10
10
11
00
00
00
10
11
10
01
01
10
11
11
10
01
01
10
10
10
00
10
11
00
01
00
10
10
00
00
10
01
01
10
10
10
00
10
10
10
00
10
11
10
00
00
01
01
10
01
11
10
00
00
01
10
00
11
10
00
00
01
11
11
00
01
10
10
00
00
00
11
10
00
11
10
00
00
00
11
00
00
00
10
00
01
10
11
00
01
10
00
10
00
00
11
00
00
10
10
11
11
00
00
10
10
10
10
00
01
01
11
10
11
00
10
00
10
11
10
10
00
01
01
10
01
11
10
10
00
01
11
10
01
11
10
01
10
01
00
11
10
10
10
00
10
00
10
11
10
00
11
11
00
00
01
10
01
10
10
01
00
10
01
11
11
10
11
00
01
00
10
00
01
11
11
10
00
00
00
01
00
00
10
10
11
00
11
01
10
11
11
00
00
01
10
00
01
01
01
00
00
10
00
10
00
10
10
10
00
11
01
00
10
10
01
00
01
00
10
10
01
10
00
10
10
01
00
01
00
10
00
01
00
10
11
00
10
11
10
00
00
10
00
11
11
00
10
01
10
01
10
11
01
01
11
01
11
10
00
00
10
10
00
01
01
10
01
00
10
10
01
11
00
00
10
11
00
11
10
00
00
11
00
11
10
01
00
10
00
11
11
01
01
01
00
10
10
00
01
10
11
10
10
10
00
10
00
10
10
10
11
00
00
00
10
10
10
00
00
10
11
10
10
11
00
00
10
00
00
01
11
00
10
11
10
00
00
00
10
11
01
00
00
01
10
10
00
00
10
10
00
01
10
11
10
00
11
10
01
11
00
01
10
10
00
00
11
11
00
01
00
00
01
00
01
11
10
10
00
10
10
10
00
00
10
10
10
11
00
11
11
10
01
11
00
11
00
00
10
10
01
10
10
10
10
10
10
00
00
00
01
00
11
00
10
11
01
00
11
11
00
01
10
11
00
01
00
11
00
00
10
01
10
10
10
10
01
00
10
11
01
01
10
01
10
01
10
00
00
11
10
01
01
10
11
00
11
00
00
10
01
00
10
00
00
10
10
10
00
00
01
00
01
00
00
10
11
01
00
11
10
10
00
00
10
11
11
01
00
00
10
10
10
00
11
10
10
00
00
10
10
00
00
00
10
11
11
10
00
11
00
00
11
00
10
11
01
01
11
11
00
01
11
11
10
10
00
00
10
10
10
01
00
00
01
11
01
11
11
01
00
10
10
01
00
00
11
11
00
10
11
10
00
00
00
10
00
10
11
11
10
10
11
11
10
10
00
11
00
00
11
01
10
10
00
00
10
11
11
01
00
00
01
00
00
00
11
10
10
10
00
00
10
00
00
10
00
10
00
11
00
10
11
01
01
00
11
10
01
11
10
01
00
11
10
00
10
10
00
00
10
11
01
10
00
00
00
11
00
00
00
11
10
00
00
10
10
00
01
10
00
00
00
00
10
11
00
00
10
10
10
01
00
11
10
01
01
10
00
10
00
00
01
10
00
00
10
01
10
10
11
10
00
10
10
01
11
11
00
10
00
00
10
11
00
10
00
10
00
10
00
00
10
00
00
10
11
00
00
10
00
01
00
00
10
00
00
00
11
00
11
10
00
00
00
10
00
00
10
00
00
01
10
10
10
11
00
11
10
10
10
00
00
10
10
00
10
10
00
01
10
10
10
00
00
10
01
10
10
10
00
00
10
00
00
11
11
11
00
10
00
11
01
01
10
00
01
00
01
10
00
00
10
10
01
00
10
00
00
10
01
01
10
10
11
10
10
01
01
00
11
00
11
10
11
01
10
10
01
01
01
00
00
11
00
00
01
10
10
10
01
11
11
00
10
01
00
01
00
10
11
11
10
11
11
01
10
01
00
11
01
00
10
10
01
00
01
11
10
00
00
01
10
01
01
01
10
00
11
10
10
10
00
00
10
11
01
01
00
00
10
10
10
11
00
10
00
00
10
00
11
00
01
00
10
00
10
11
10
01
00
00
00
10
00
00
01
01
10
01
11
10
10
10
00
10
11
01
11
11
01
11
00
00
10
10
00
00
00
01
00
01
00
00
10
11
11
00
00
01
10
10
00
11
00
01
10
11
10
00
00
11
00
01
01
11
00
00
10
01
10
00
10
10
10
11
01
00
00
00
10
11
00
11
11
00
10
10
10
01
10
00
01
11
00
10
00
00
00
11
10
11
10
00
00
10
01
11
00
01
11
00
00
00
00
11
11
10
10
11
00
01
10
10
10
01
10
11
00
01
11
01
11
00
11
00
11
01
01
10
11
11
00
00
11
10
00
11
01
00
00
10
00
00
01
10
10
01
10
10
00
00
01
11
10
11
10
01
01
01
01
00
01
10
01
01
11
11
00
10
10
11
10
00
00
00
00
10
01
10
11
00
00
00
10
00
01
00
11
10
10
01
00
00
01
01
11
10
00
11
10
10
00
10
10
10
11
00
10
01
00
10
11
01
00
10
00
10
10
00
11
01
01
00
10
10
00
10
00
11
10
00
01
00
10
10
10
10
11
01
11
01
00
00
10
00
10
10
00
00
00
01
01
00
00
10
10
10
10
00
01
10
01
00
11
11
10
00
10
00
01
10
00
11
00
10
00
01
10
00
00
10
10
00
10
01
10
01
00
00
10
01
10
00
10
10
10
10
11
00
00
00
10
00
01
01
00
00
10
10
01
10
11
11
00
10
00
10
11
01
01
11
11
00
11
00
00
11
00
01
10
01
10
11
00
01
00
01
10
10
01
00
10
10
11
01
00
10
00
00
11
11
10
00
00
00
10
10
10
10
01
11
10
10
10
01
00
00
11
10
00
11
01
01
01
11
00
10
10
10
11
01
01
10
10
10
11
00
00
10
10
00
00
10
10
00
00
11
00
10
10
01
00
11
00
00
10
10
00
10
10
00
00
10
10
10
01
10
01
10
11
01
11
10
00
00
10
11
01
01
11
10
00
11
10
00
11
00
10
10
11
11
10
00
01
01
01
00
01
11
10
00
01
10
11
00
01
00
01
00
10
10
00
10
10
10
00
10
01
10
10
10
10
11
10
10
01
01
11
11
01
00
11
00
00
01
00
10
11
01
01
11
10
10
10
00
10
00
00
10
10
10
10
10
10
00
00
10
00
01
10
10
00
00
00
01
10
00
01
10
00
00
10
00
10
10
10
10
01
10
10
00
00
10
10
00
00
00
00
10
01
11
00
00
11
10
01
00
10
00
10
11
01
01
00
11
10
11
00
10
00
00
11
10
10
10
11
10
10
10
01
10
11
01
11
00
10
00
01
00
00
00
10
10
00
10
00
00
01
10
01
11
10
00
00
11
00
10
00
10
11
00
00
00
00
10
00
00
00
10
10
10
00
01
00
10
11
01
00
10
10
00
10
10
00
00
10
10
11
10
00
00
11
10
00
10
10
11
00
11
00
10
10
00
01
00
00
10
11
00
01
00
11
10
01
10
10
10
10
10
10
01
10
11
00
00
01
10
10
00
11
11
11
00
10
11
10
01
00
10
11
10
01
11
00
00
10
11
01
10
11
00
11
01
11
00
00
01
10
00
00
10
10
00
10
10
01
00
01
11
00
11
10
10
01
01
11
01
10
10
11
11
10
00
00
10
00
00
11
00
01
00
01
11
00
01
00
10
10
10
10
01
00
10
10
11
00
00
11
00
10
11
00
01
10
10
00
01
00
11
10
00
10
10
11
11
10
01
01
00
00
00
01
11
00
00
11
00
11
00
00
10
00
10
11
10
10
11
10
00
11
00
00
11
00
00
10
10
10
00
01
11
01
11
11
11
11
11
00
01
00
10
10
01
01
10
10
00
00
00
10
10
11
00
00
01
10
01
00
10
10
00
00
10
10
00
10
00
10
10
00
00
10
11
11
01
10
10
00
10
10
11
00
00
10
10
10
11
01
00
01
10
00
00
00
10
10
00
10
01
00
10
10
10
00
10
10
10
00
00
10
10
01
11
11
00
00
10
11
10
10
00
00
11
01
10
11
10
01
10
00
00
00
10
10
00
00
00
10
10
00
01
00
10
00
10
11
00
00
00
11
10
01
00
01
10
00
10
11
10
00
00
10
10
01
10
00
10
00
10
10
00
10
10
00
11
00
01
11
00
10
10
10
10
11
01
01
10
11
10
10
11
01
00
11
01
01
10
00
00
00
00
00
10
11
11
11
10
11
11
01
00
10
00
00
00
10
10
01
10
00
10
11
10
00
10
00
01
10
10
11
01
11
10
10
00
10
11
10
11
01
00
00
00
00
10
00
01
01
00
10
10
00
01
01
10
01
01
10
00
10
00
10
00
10
11
00
01
11
10
11
10
10
00
10
11
01
00
10
11
00
10
00
10
11
10
01
01
10
00
10
10
00
11
10
01
10
00
10
00
10
00
11
01
11
10
01
00
10
10
10
10
00
10
11
01
11
00
11
10
10
00
00
11
10
00
01
01
01
10
00
00
11
10
00
00
10
10
11
10
10
11
01
00
10
00
01
10
10
10
00
00
10
00
10
10
00
00
11
01
11
10
00
11
00
10
01
01
11
10
10
01
10
10
01
11
00
00
10
00
11
11
10
10
11
01
11
11
00
01
01
10
10
10
00
00
00
10
10
01
00
01
10
10
10
00
00
11
00
10
11
01
00
00
01
10
00
11
10
11
00
00
10
11
01
11
00
01
00
11
11
01
11
01
00
10
01
00
01
10
10
00
01
10
10
00
01
11
10
10
00
10
01
10
00
10
10
11
01
01
11
10
01
10
00
10
00
00
11
10
10
11
00
11
10
11
00
10
10
11
11
00
00
00
11
11
00
11
00
00
00
11
01
00
10
10
00
11
10
01
11
00
01
10
11
10
01
01
00
10
11
01
01
11
10
01
00
10
10
00
00
11
00
01
00
00
00
10
10
11
10
00
00
00
10
10
00
10
00
00
10
01
10
10
10
00
01
01
10
10
10
00
10
11
00
10
11
00
10
11
10
00
11
10
00
00
10
00
00
00
00
11
10
10
10
10
01
01
00
10
00
00
00
00
10
11
11
00
00
11
10
01
11
00
00
00
10
10
10
00
11
10
11
11
00
10
10
10
00
11
00
00
11
10
10
10
00
10
01
00
01
10
10
10
11
10
00
01
10
00
01
10
01
00
11
01
00
00
00
01
10
10
00
00
10
00
11
10
00
01
00
10
11
11
00
01
10
00
00
10
11
01
00
10
01
00
10
10
01
00
00
00
11
11
00
00
01
11
10
00
00
00
00
00
00
11
10
00
01
11
10
00
10
10
10
11
00
01
11
00
00
11
11
10
11
00
00
00
10
10
10
00
00
00
01
00
11
01
11
10
10
01
10
10
01
01
00
10
11
10
10
01
00
10
10
10
10
10
00
11
00
01
10
11
10
00
10
00
10
10
00
00
01
10
11
01
00
11
00
11
10
00
00
11
01
11
10
01
01
00
11
10
00
01
10
11
00
01
10
11
01
00
00
11
00
01
10
00
10
01
10
11
10
10
11
11
00
00
11
10
01
00
10
00
00
00
00
11
11
10
00
10
00
00
00
00
10
00
00
11
10
10
11
10
00
10
10
01
01
10
00
01
10
10
10
11
01
11
10
00
00
10
10
00
11
10
01
10
01
01
00
00
10
10
00
00
00
01
10
00
00
10
10
10
00
10
10
00
10
11
10
10
00
10
10
00
11
11
00
00
00
00
00
00
10
11
00
01
01
10
10
10
00
10
01
00
00
11
11
10
01
00
10
11
00
00
10
10
01
00
00
11
00
00
10
11
10
00
10
10
10
10
00
00
11
01
00
11
11
01
01
10
10
10
10
01
00
00
11
10
00
01
00
10
01
00
11
00
11
00
11
10
00
00
11
00
00
11
10
01
00
11
11
00
00
00
10
00
10
01
00
10
10
10
10
00
00
11
01
00
10
10
10
00
00
10
10
10
00
01
00
10
10
10
01
01
10
10
01
00
10
10
01
10
11
01
00
10
00
00
00
00
10
10
00
00
11
10
00
01
10
01
11
00
00
00
10
10
11
00
00
11
01
01
11
00
01
10
10
00
10
10
11
01
00
00
11
01
10
00
00
11
01
00
11
00
00
11
01
00
10
10
00
00
00
11
00
10
00
01
00
01
10
00
11
10
00
00
10
11
00
11
01
00
00
10
01
00
00
00
10
00
00
10
10
01
00
01
00
10
11
10
00
11
00
00
11
00
10
10
00
00
01
10
10
01
10
00
10
00
01
00
10
00
01
11
00
10
10
00
10
11
00
10
00
00
10
00
01
11
11
01
01
10
10
10
01
10
11
01
00
10
10
00
01
10
10
00
11
10
10
00
01
10
00
00
10
00
00
01
00
10
10
01
10
10
00
00
10
10
00
10
00
10
10
00
00
00
01
10
10
00
10
10
01
10
01
01
10
10
11
00
01
01
10
10
00
00
10
00
00
10
10
00
00
10
10
01
00
10
10
10
00
00
01
00
01
01
10
00
11
10
10
01
10
00
10
10
11
10
01
01
00
11
00
10
10
00
11
10
00
00
00
01
10
11
11
10
01
10
00
00
01
10
00
00
01
00
10
10
10
11
10
10
11
10
10
10
01
00
00
11
00
01
10
00
00
10
10
00
00
11
11
01
11
10
10
00
10
01
00
01
10
10
11
01
10
11
10
00
00
10
11
10
10
00
00
10
10
00
01
00
01
10
11
01
00
00
10
00
00
11
00
10
10
10
10
11
01
00
10
10
00
00
00
00
00
10
10
11
00
11
11
10
01
01
11
10
00
00
10
11
00
11
10
01
01
01
00
00
00
11
10
01
11
11
11
10
10
00
10
10
00
01
11
11
01
00
10
01
11
11
10
00
01
11
00
11
10
00
00
00
10
01
10
11
11
11
01
11
01
00
10
10
10
01
10
01
11
00
10
10
10
00
10
01
00
00
00
11
11
00
01
10
00
11
00
11
10
01
01
01
10
10
10
00
00
10
11
00
10
10
01
00
11
10
10
10
11
11
01
01
10
01
10
00
10
10
01
10
00
01
00
00
10
01
11
11
01
00
10
00
10
11
00
10
10
11
01
00
11
11
10
01
10
11
00
10
10
10
00
10
01
00
10
10
10
10
10
10
00
11
10
00
00
00
10
10
00
10
10
10
00
11
01
00
00
00
10
00
10
10
01
01
00
11
10
01
00
01
11
01
00
11
10
00
10
00
00
11
00
01
00
10
00
10
00
10
11
00
01
10
10
10
10
00
00
00
10
11
00
00
11
00
11
00
10
00
00
11
10
11
01
10
10
10
11
01
00
11
00
00
01
01
10
00
10
10
11
10
10
00
00
10
10
00
01
00
00
10
00
01
10
00
11
00
01
00
00
10
10
00
00
01
11
10
00
11
00
00
10
01
00
10
00
10
01
11
10
00
10
10
00
10
00
01
10
10
11
00
11
01
10
00
10
10
11
10
00
10
00
00
11
00
00
10
10
11
11
11
00
11
00
00
00
11
01
00
00
10
11
00
10
10
10
00
01
10
10
00
11
11
00
00
10
10
10
10
01
01
11
00
10
00
10
00
00
10
10
00
00
10
10
00
00
10
00
00
11
10
11
11
00
10
10
01
00
00
10
10
10
00
10
01
00
00
01
10
00
11
10
01
10
00
11
01
01
00
10
10
00
11
00
11
11
10
01
00
10
01
01
11
00
10
00
11
11
01
00
10
01
01
01
01
11
10
10
00
10
11
00
00
01
11
11
10
00
01
01
10
10
10
01
00
01
11
10
01
00
00
10
01
01
01
00
11
00
10
10
11
00
11
10
00
00
11
10
00
10
10
10
10
00
00
10
10
10
00
10
00
10
10
00
11
00
00
00
10
01
10
00
01
10
10
10
10
10
01
11
11
00
10
10
00
10
00
01
11
00
10
01
00
01
00
00
10
10
00
10
01
00
11
00
10
10
00
01
00
11
10
00
01
11
10
10
00
00
10
00
01
01
01
10
10
00
01
10
00
00
11
00
01
11
11
01
11
11
10
11
01
10
11
00
00
10
11
11
00
01
10
11
00
10
01
00
00
11
01
00
10
11
00
01
00
10
00
10
11
01
01
10
11
10
01
00
10
01
01
01
10
10
00
00
11
01
00
10
11
01
10
01
00
00
10
00
00
10
10
10
00
01
01
01
00
01
00
11
11
11
00
00
01
10
00
01
00
11
10
00
00
11
00
11
01
00
11
10
00
01
11
00
00
10
11
00
00
11
00
10
00
01
10
11
00
01
00
00
00
00
01
10
00
00
01
10
01
00
10
11
00
00
01
00
11
00
10
00
11
10
01
00
01
11
01
10
10
00
01
00
10
10
01
00
10
10
10
00
00
10
10
01
01
11
00
00
10
10
00
01
11
11
10
01
01
10
00
10
10
00
00
10
00
00
10
11
00
00
01
00
00
11
10
10
00
00
10
00
00
11
10
10
00
00
00
11
10
11
00
00
00
10
00
00
10
11
00
11
10
10
01
10
10
10
00
00
10
10
01
11
11
00
10
10
10
11
10
10
00
11
00
10
00
01
10
00
00
01
00
10
10
00
00
00
00
00
10
01
11
01
10
01
10
00
00
00
00
11
11
11
10
10
10
00
01
11
10
00
01
00
11
00
00
10
10
11
10
11
00
10
11
01
00
10
00
00
11
01
01
00
10
10
10
01
11
10
00
11
00
10
10
00
00
11
01
10
00
01
00
00
01
01
11
10
01
10
10
00
00
10
10
01
10
10
01
10
01
11
00
01
00
00
10
10
01
11
00
00
01
10
10
00
00
11
01
01
00
00
01
00
00
10
00
10
10
10
00
10
10
00
10
10
11
00
01
10
01
00
10
11
01
00
10
00
01
11
00
10
01
01
11
01
11
10
10
10
00
00
10
10
00
10
00
00
00
11
10
00
11
00
10
01
00
10
10
11
10
00
10
10
11
01
10
00
01
00
01
10
10
10
10
00
01
01
01
11
10
11
00
00
11
00
00
10
10
00
01
10
10
11
10
10
01
00
01
00
01
00
00
00
10
11
10
10
00
11
10
00
01
10
01
00
01
11
10
11
00
11
10
00
01
01
01
10
10
01
01
01
10
10
00
01
11
00
00
00
11
00
10
10
10
00
00
10
00
10
11
10
10
00
00
10
11
10
01
00
11
01
10
10
00
00
11
10
00
10
00
01
00
01
00
00
11
01
01
01
11
01
10
11
00
11
10
10
00
00
10
10
10
00
01
00
00
11
00
10
10
11
10
11
00
01
10
01
00
00
10
11
01
10
11
00
00
00
11
10
00
10
10
10
01
00
00
00
01
10
10
01
10
10
01
00
00
00
00
10
10
11
00
10
00
11
11
00
10
00
01
11
00
10
10
10
01
00
10
10
00
01
00
00
10
00
01
00
00
00
01
00
10
10
10
00
00
10
10
00
00
00
01
00
11
01
11
10
11
01
10
10
01
10
10
01
00
01
10
00
11
10
00
00
10
10
00
10
10
10
11
10
01
00
10
10
00
01
10
00
00
01
00
01
01
10
11
00
00
10
01
00
10
00
00
10
10
01
10
10
10
00
01
11
00
00
01
10
10
11
01
11
10
01
10
01
01
10
00
10
10
00
10
01
00
01
10
11
10
01
10
00
00
11
10
10
10
01
11
10
10
10
10
10
11
00
01
11
01
10
00
00
01
10
10
00
00
01
10
10
10
10
00
10
01
01
11
01
00
01
10
00
10
00
00
00
10
10
01
00
10
10
10
10
00
11
00
00
01
00
10
00
10
00
11
01
00
00
10
10
10
10
00
10
00
01
10
00
00
01
10
00
01
10
11
01
00
01
10
10
11
00
10
00
00
11
00
11
10
10
10
11
00
10
00
00
10
10
10
00
01
11
10
11
00
00
10
00
01
11
11
00
10
10
10
01
01
10
00
00
10
00
10
10
11
00
00
00
00
11
10
00
00
01
00
11
10
10
10
10
00
11
00
01
00
00
11
10
10
00
00
10
00
11
11
01
01
00
10
01
01
11
10
01
00
11
01
10
00
11
00
10
11
00
10
01
01
11
00
00
00
00
10
00
00
10
10
00
01
01
11
10
01
00
00
00
00
10
11
10
10
10
01
01
00
10
00
10
11
00
00
00
10
11
00
00
10
10
01
00
00
10
11
00
01
10
11
00
10
00
00
00
11
10
00
00
00
10
01
11
10
10
11
00
00
10
10
01
00
00
00
11
10
00
00
10
10
10
00
10
11
00
00
11
01
10
10
10
10
00
10
00
01
01
00
00
00
11
10
10
01
01
10
00
11
00
01
11
10
00
01
10
01
10
00
10
10
10
11
11
01
11
10
00
00
00
00
11
10
00
00
10
10
11
01
10
00
01
10
10
01
00
11
10
00
11
10
00
00
00
10
10
00
01
00
10
10
10
01
00
10
00
00
11
11
00
10
00
01
10
10
00
11
10
01
00
11
00
10
11
01
10
11
11
11
10
11
00
10
00
00
10
00
01
01
00
01
10
00
10
11
00
11
11
10
01
10
01
10
10
00
01
01
10
11
00
00
00
10
10
11
00
00
11
11
11
01
00
00
11
11
01
10
11
01
11
00
01
10
11
10
01
00
10
11
01
11
10
01
00
11
11
01
01
00
10
00
10
00
11
10
11
10
10
10
00
00
00
00
10
10
10
11
00
10
10
00
01
10
00
01
10
01
00
00
00
11
10
00
10
11
00
00
10
11
01
11
10
10
10
10
10
01
11
10
10
10
10
00
01
00
01
00
10
10
00
00
10
11
11
00
10
10
00
11
00
00
10
00
10
10
01
11
11
01
00
00
10
10
01
10
11
01
01
00
10
00
00
00
10
10
01
11
00
01
11
11
00
11
11
11
00
00
00
00
00
11
00
00
01
00
00
00
10
10
11
00
01
11
10
00
10
01
01
10
11
11
01
10
10
00
00
11
10
00
10
00
00
10
01
10
10
00
10
10
00
10
00
10
10
00
01
10
11
01
00
11
10
10
10
00
00
11
11
00
11
10
00
11
00
01
10
01
00
00
00
10
10
00
10
11
10
00
11
10
10
00
00
10
10
00
01
00
10
01
11
00
11
00
01
00
10
10
10
01
01
00
00
10
01
10
10
00
00
10
00
11
10
11
00
01
00
10
11
00
00
00
10
10
10
11
00
01
10
00
00
01
10
01
00
10
00
00
11
00
10
10
10
01
10
11
10
00
01
10
01
00
00
00
11
11
01
00
11
01
10
00
00
00
00
10
00
10
11
01
10
01
01
00
10
10
01
10
10
00
00
11
01
11
11
00
00
01
11
10
00
10
00
10
01
10
11
11
10
00
01
01
01
10
10
00
00
10
01
00
00
00
10
00
11
11
10
00
00
10
10
01
10
11
00
10
10
00
00
10
10
00
11
01
10
10
11
11
01
00
10
10
10
11
00
00
11
01
00
01
10
10
10
01
00
01
01
10
10
11
10
01
10
10
00
11
11
10
00
01
11
10
00
11
10
00
11
10
00
10
10
10
00
10
00
11
00
00
10
00
10
01
00
11
11
10
11
00
00
00
00
10
11
00
01
11
10
01
10
10
00
10
11
00
00
10
00
10
00
10
10
00
01
11
11
10
00
10
00
10
10
10
00
01
10
11
01
10
01
01
00
00
10
01
01
10
10
11
10
01
00
11
00
00
01
00
00
10
10
01
00
01
00
11
00
11
10
00
01
01
10
10
01
10
01
10
10
00
00
00
11
01
00
10
01
10
01
11
10
00
11
00
10
10
00
00
11
01
00
00
00
10
11
00
01
10
00
10
10
00
10
10
01
00
00
11
10
01
00
10
01
10
10
00
00
10
01
01
00
10
10
00
01
10
01
10
10
10
00
00
00
11
10
00
00
10
10
10
00
00
10
10
10
10
00
00
10
00
01
00
00
10
11
01
01
11
01
10
10
00
11
10
10
00
00
00
10
00
01
00
00
01
10
11
10
01
10
10
10
00
11
00
10
10
10
10
01
00
00
11
10
01
00
00
11
11
00
11
01
10
10
00
00
11
10
01
10
11
00
01
11
00
11
10
00
11
10
00
01
10
10
00
11
10
10
00
00
00
10
00
00
10
10
10
01
10
11
10
01
00
11
11
01
01
10
11
01
10
11
00
01
10
10
11
00
01
11
10
00
10
01
01
11
10
01
10
10
00
00
10
01
00
01
01
11
11
10
10
00
01
10
00
10
10
11
00
11
01
00
10
00
00
00
00
10
10
00
00
00
11
10
01
10
10
00
00
00
00
10
10
10
01
00
10
00
00
10
10
00
00
00
10
00
01
10
00
10
01
00
10
00
00
01
10
11
00
01
00
11
11
00
01
10
01
00
11
10
10
10
01
10
10
00
10
11
01
10
00
10
10
00
00
00
11
00
10
00
10
00
00
10
01
11
01
10
00
00
11
10
10
01
11
01
00
10
00
01
11
11
10
00
01
11
10
00
00
10
00
11
10
00
00
10
10
00
00
10
10
10
10
00
00
00
11
00
10
10
10
00
01
10
11
11
11
10
01
01
00
11
10
10
10
10
01
00
11
10
10
01
01
00
10
00
10
10
11
11
01
10
10
11
00
11
01
00
11
10
01
10
11
00
00
10
10
01
01
10
10
10
00
11
10
00
10
10
00
00
00
10
00
11
11
00
01
10
10
00
00
00
11
11
00
01
01
00
01
00
00
00
10
11
00
00
10
00
11
10
00
01
01
10
10
10
00
01
11
10
10
00
00
10
01
00
00
10
10
00
00
10
01
00
00
10
11
10
00
00
10
11
01
11
01
10
11
10
00
00
00
10
00
00
11
11
01
00
01
00
00
11
01
01
00
11
11
00
00
10
11
01
01
10
00
00
11
10
01
01
00
00
10
00
00
01
10
10
01
10
00
10
01
11
10
01
01
10
01
10
10
01
10
11
10
11
00
10
10
11
11
01
00
11
10
00
10
00
10
10
01
00
10
10
10
00
00
00
10
10
11
00
10
10
10
11
01
00
00
00
10
01
10
10
00
00
01
00
10
00
10
11
00
11
10
01
10
00
00
10
10
00
01
11
11
10
11
11
01
00
01
10
11
00
01
10
10
00
00
00
10
00
10
00
10
01
00
01
00
00
01
10
01
10
00
00
10
10
10
10
00
10
10
11
00
00
00
11
10
10
01
01
11
01
00
10
10
10
11
00
00
10
10
10
00
00
11
00
10
01
00
10
00
11
00
00
11
11
01
01
00
00
10
10
00
00
10
10
10
00
10
10
00
10
00
11
10
00
00
10
01
10
10
00
11
10
10
11
10
01
00
10
00
10
00
00
10
10
01
01
01
00
10
00
01
11
01
00
11
10
10
01
00
10
00
01
11
01
10
00
00
10
00
00
00
11
10
01
10
10
00
00
00
01
11
10
11
01
10
00
10
01
00
00
01
10
11
10
10
01
11
00
11
01
00
01
00
10
11
00
00
11
00
01
01
11
00
00
01
10
00
00
10
10
01
10
01
10
10
01
11
10
10
00
00
10
10
10
01
00
11
11
10
10
01
00
00
00
01
10
10
01
01
11
00
11
10
00
10
00
00
01
10
00
10
01
10
10
00
10
01
00
00
10
10
00
10
00
10
10
11
00
11
10
11
10
10
00
10
10
00
01
00
01
00
00
00
00
10
11
00
00
10
10
01
01
00
00
01
11
01
11
10
11
11
00
01
11
11
00
10
10
01
01
10
11
00
00
11
11
00
00
00
00
00
10
00
00
11
10
11
10
10
01
01
10
11
00
00
01
10
10
11
10
00
10
10
00
00
10
01
00
10
01
11
11
10
01
11
10
00
01
11
00
00
11
11
11
00
10
01
01
11
00
01
00
01
11
00
11
10
10
10
10
01
01
00
10
10
00
10
10
10
01
11
00
00
01
01
10
10
11
00
10
10
01
00
10
00
00
11
11
00
01
01
10
00
00
10
10
00
00
10
10
00
00
00
10
10
11
01
00
00
10
10
10
11
01
00
11
10
01
10
01
00
11
10
10
10
00
01
10
10
10
10
01
10
10
01
01
00
00
01
01
11
00
10
00
01
01
11
10
01
00
11
10
00
00
01
10
00
10
10
01
00
00
10
01
01
10
00
01
01
01
01
10
10
00
10
11
00
01
10
00
10
11
11
00
01
10
10
00
10
01
00
01
11
11
10
10
00
00
00
10
00
00
00
10
01
00
00
10
00
10
10
01
00
10
10
01
00
01
01
10
00
00
00
10
00
10
10
01
00
00
00
10
10
11
11
00
00
00
00
00
00
11
10
10
00
01
00
11
00
00
00
10
10
10
00
10
10
01
00
11
00
00
10
10
00
01
10
10
00
11
11
00
01
01
00
10
10
01
11
10
00
00
00
10
01
10
10
11
10
00
10
11
00
10
00
01
10
10
00
10
00
01
00
01
00
00
11
10
00
11
10
00
00
10
11
00
10
01
11
00
10
01
00
00
10
00
00
01
10
11
11
11
00
10
11
10
10
00
10
11
01
11
10
01
01
11
11
01
00
10
00
01
00
11
10
00
10
00
11
11
10
11
10
10
00
01
01
11
10
00
00
00
10
00
11
10
10
00
01
10
00
00
11
10
00
10
10
01
10
11
00
01
11
10
10
00
01
10
00
00
11
00
01
10
10
11
11
10
11
10
00
10
11
00
01
10
10
00
10
11
01
11
11
00
10
10
01
10
01
00
10
10
10
00
01
10
10
01
00
01
10
00
00
01
01
00
11
11
11
10
00
00
10
01
01
10
10
01
00
11
01
10
10
10
11
00
00
01
10
00
01
00
00
10
00
11
00
10
01
10
00
00
10
00
00
11
10
10
00
10
10
10
00
11
10
01
00
11
00
01
11
11
00
00
10
11
11
00
00
10
10
10
11
10
01
10
10
00
10
10
11
11
00
10
01
00
01
00
00
10
00
10
11
00
00
00
00
00
01
01
10
10
10
11
10
10
00
00
00
10
10
11
00
00
11
01
11
00
11
11
00
10
11
00
10
00
00
11
11
00
00
10
10
10
01
00
10
00
01
10
11
10
00
01
00
01
11
11
00
00
00
00
00
10
10
10
00
00
10
11
00
11
10
01
11
00
00
00
10
11
00
01
00
00
10
00
01
00
01
11
00
10
00
01
11
01
10
10
01
01
00
11
11
00
00
00
01
00
11
10
00
01
10
00
00
00
10
10
10
10
10
01
10
00
01
00
10
11
10
01
01
01
10
10
00
01
00
11
10
00
00
11
01
10
10
11
00
10
11
01
10
11
10
11
01
00
01
10
10
00
00
10
10
00
00
10
00
01
10
00
00
11
10
00
11
10
00
00
11
10
11
00
10
10
11
11
11
10
01
00
00
00
10
10
10
10
01
00
00
01
01
10
10
00
00
01
00
10
10
11
11
00
10
00
00
11
10
10
10
00
00
10
11
01
11
00
10
00
10
01
01
10
00
00
00
01
10
10
11
00
01
10
01
10
11
00
00
10
10
01
00
01
10
10
10
00
10
10
01
00
01
00
10
00
00
10
11
10
01
00
00
10
11
01
01
11
00
00
10
11
10
10
00
00
01
10
11
00
00
10
11
01
11
10
00
10
11
00
11
00
10
00
00
11
10
10
00
00
10
00
10
00
10
11
10
01
00
10
00
10
11
10
00
00
01
00
00
10
11
11
00
00
10
00
01
00
10
10
00
00
01
11
01
11
10
10
11
11
10
00
00
11
11
11
00
10
10
00
00
00
00
10
00
10
01
11
00
11
10
11
00
01
10
10
10
01
00
10
00
01
00
10
00
10
10
10
10
00
10
10
10
10
00
00
01
00
10
10
11
10
11
00
01
10
11
00
01
01
10
00
00
11
01
10
11
01
01
11
00
01
10
11
10
00
10
10
00
11
11
01
10
10
10
10
01
00
00
10
10
00
11
10
10
10
00
10
11
00
00
10
11
00
10
10
00
01
00
10
00
00
11
00
01
10
10
00
10
01
00
00
00
00
00
11
11
00
10
10
10
00
10
10
01
11
10
11
10
00
00
01
10
00
10
10
01
00
00
10
11
10
00
11
00
01
01
00
01
10
11
00
11
10
00
10
11
10
00
11
11
10
11
01
01
10
01
01
00
10
10
11
00
00
10
11
10
01
00
10
00
00
01
11
00
00
01
10
00
00
10
10
00
00
00
10
11
01
11
00
10
10
10
10
00
00
10
00
00
11
10
00
11
11
01
11
10
01
10
10
00
01
10
10
10
00
00
11
00
01
10
01
00
10
00
00
10
10
10
00
10
10
00
10
10
01
11
01
10
11
10
11
11
01
00
00
11
00
00
10
01
01
10
11
10
00
00
00
01
01
00
11
10
11
11
01
10
10
00
00
11
11
00
01
00
10
10
10
00
10
11
00
10
00
10
00
10
01
01
11
00
11
01
11
00
00
10
10
00
00
11
10
00
00
11
00
11
10
10
10
00
10
00
10
01
00
10
10
00
11
10
00
10
00
00
00
00
10
10
00
01
10
00
10
10
01
00
10
01
10
11
00
10
11
00
00
11
10
11
00
01
10
00
00
10
00
01
01
11
10
11
11
00
01
00
00
01
10
10
00
11
10
00
00
10
00
01
10
00
10
00
00
01
11
10
10
10
10
00
00
01
00
01
01
10
10
11
00
00
01
10
10
00
10
01
00
01
00
11
01
11
10
00
00
10
00
10
10
00
01
01
11
01
11
11
11
10
01
00
10
10
00
11
10
01
01
00
10
10
01
10
11
00
10
10
10
00
01
00
00
10
11
00
01
10
11
00
10
01
01
10
00
11
00
11
11
11
10
01
00
11
00
01
11
00
10
01
00
11
01
00
11
01
11
11
10
01
00
10
00
00
10
11
00
00
10
00
01
10
10
00
10
10
00
00
00
10
10
01
10
00
11
10
10
00
00
10
00
10
11
10
01
10
10
01
00
11
11
11
00
00
11
00
01
10
00
10
10
00
10
10
00
10
11
00
10
10
10
11
00
11
00
01
10
01
00
00
11
10
11
01
10
10
10
00
10
01
01
01
00
00
01
10
10
00
00
00
00
10
00
10
10
01
10
01
10
01
10
10
10
10
01
01
00
11
10
00
00
11
00
00
11
11
00
10
10
11
01
11
11
01
01
00
01
11
00
00
11
00
10
10
00
11
00
01
01
00
10
11
10
10
00
01
10
10
10
01
10
01
10
00
01
10
00
10
10
00
00
10
10
10
00
11
11
10
01
01
00
00
00
10
10
10
00
10
10
00
01
10
10
00
01
10
10
01
00
00
10
01
10
01
00
10
01
01
10
10
00
00
01
00
10
10
01
01
00
01
10
00
10
10
00
11
10
00
01
10
11
10
10
00
11
10
10
00
00
10
10
11
10
10
01
01
10
11
10
10
10
00
00
00
10
00
11
10
10
00
01
00
10
00
11
10
10
01
00
00
11
00
10
11
00
01
00
00
10
01
10
10
10
10
11
10
01
01
11
00
10
10
00
10
00
10
11
11
00
10
00
10
01
01
10
00
00
00
00
10
11
10
11
11
01
00
11
10
00
11
11
00
00
10
10
10
11
00
00
10
10
10
11
00
10
10
10
01
00
00
00
10
10
11
00
00
10
10
01
00
00
10
00
01
00
00
10
00
00
10
11
00
00
11
01
01
00
10
00
10
10
10
00
11
10
00
00
01
10
10
01
00
10
00
01
01
10
11
10
01
01
00
10
01
01
01
00
00
01
01
01
10
10
01
00
10
01
10
01
11
10
01
00
10
10
00
00
11
10
00
10
01
00
01
10
10
00
10
10
01
10
11
00
00
10
11
01
10
01
00
10
00
00
00
11
10
01
11
00
01
00
00
10
10
00
00
10
11
10
10
10
10
10
01
10
11
10
01
00
01
01
00
00
00
00
10
00
01
10
11
01
01
10
11
11
00
01
10
11
10
01
00
10
01
01
11
11
10
00
00
01
00
00
10
10
00
00
00
01
11
10
00
10
10
01
00
11
00
10
01
10
11
00
00
10
10
01
11
11
10
00
11
01
11
10
01
01
00
10
10
00
10
10
00
00
10
10
10
01
10
00
10
00
10
10
00
10
00
00
01
00
10
10
11
10
11
00
01
11
10
10
01
11
10
10
00
10
10
11
10
01
01
10
01
11
10
10
11
11
10
01
00
01
00
10
01
01
10
10
01
01
10
01
10
10
00
10
01
01
11
11
01
00
00
10
10
01
00
01
11
11
00
01
10
10
00
11
11
00
10
01
01
10
01
11
10
11
01
00
01
11
11
00
01
10
11
00
00
01
01
00
11
11
01
10
10
10
00
00
11
00
00
01
01
10
00
00
10
00
10
10
11
00
00
11
10
00
00
00
11
10
10
00
10
10
10
00
00
10
00
10
10
11
01
00
10
10
11
11
10
11
10
00
10
10
00
01
11
10
10
11
01
00
01
10
00
00
01
10
10
10
00
10
11
00
00
10
11
11
10
01
00
10
10
00
00
10
10
00
01
10
10
00
00
00
01
00
11
10
00
10
10
01
01
10
11
10
00
10
10
00
11
10
11
10
00
00
00
11
10
11
01
11
01
10
10
10
00
01
10
11
00
00
10
01
00
00
10
10
10
01
00
10
10
10
00
10
10
00
10
10
00
00
10
01
01
00
00
10
11
10
00
00
00
10
10
11
01
01
10
01
00
10
00
00
11
10
00
01
11
10
01
11
10
10
00
00
10
10
00
00
11
01
00
10
01
10
00
01
11
00
00
00
10
00
11
00
10
10
10
00
10
01
00
11
10
11
00
10
00
11
01
00
00
00
10
10
11
00
00
10
10
10
11
10
10
01
00
00
00
00
11
00
10
01
11
10
11
00
01
00
00
10
10
11
11
10
00
01
01
00
00
00
00
00
10
10
00
10
01
11
11
00
01
11
11
00
00
11
11
00
01
10
10
00
00
11
10
10
00
01
11
00
00
11
11
00
10
11
01
01
10
10
11
00
01
10
10
01
00
00
11
10
01
10
00
00
10
10
01
10
00
11
11
10
00
01
10
11
00
01
01
11
10
00
10
10
00
01
01
11
10
11
00
00
01
10
11
00
01
10
10
00
00
00
11
10
00
00
00
10
00
01
11
01
00
10
10
10
00
00
11
10
00
10
10
01
10
10
00
01
11
10
10
01
00
10
10
01
10
00
00
10
00
00
10
11
01
01
10
00
00
10
10
10
00
00
10
00
00
10
00
11
10
10
01
10
00
11
10
10
00
00
11
11
01
01
11
01
11
00
11
11
00
00
00
00
10
10
10
00
00
01
01
11
10
01
00
10
00
00
11
10
11
01
00
00
01
01
00
11
10
00
00
11
10
00
00
10
00
10
01
00
01
10
00
11
01
01
00
11
10
10
00
11
00
01
01
11
01
00
11
11
00
00
00
11
10
10
00
11
11
11
10
01
00
00
10
10
00
00
11
01
11
10
01
11
01
10
00
10
11
00
00
00
10
11
10
00
01
11
00
00
01
10
10
00
11
10
10
00
00
01
11
10
00
10
00
00
10
00
01
10
10
10
10
00
11
10
01
10
11
10
11
10
00
10
11
10
00
01
00
11
00
11
00
10
11
10
11
00
11
10
00
10
01
00
10
00
00
00
10
01
10
10
01
10
10
10
10
01
11
10
00
10
11
00
01
11
10
10
00
01
00
10
11
10
11
10
00
00
10
10
10
00
00
00
01
00
10
00
11
00
11
00
10
00
01
10
10
01
01
01
01
10
00
10
11
01
11
11
01
00
10
10
00
10
10
00
10
11
10
11
10
00
10
10
10
01
10
11
00
10
10
00
00
10
11
00
00
10
00
00
00
01
10
10
00
11
10
10
01
00
00
01
11
10
00
01
01
01
11
00
00
10
00
00
11
10
10
00
00
01
10
00
01
10
00
00
00
10
00
01
01
10
11
01
00
10
10
10
10
00
00
10
00
01
00
00
00
10
11
00
01
00
00
01
11
11
10
00
11
00
10
10
01
10
11
11
01
00
10
10
01
10
11
10
00
01
10
00
00
11
10
10
00
10
10
00
00
10
11
00
10
11
10
00
10
01
01
10
10
00
10
10
10
00
01
11
10
10
10
01
00
11
11
01
00
10
01
00
00
10
10
10
10
00
10
10
01
00
10
01
01
10
01
10
01
01
00
00
10
00
00
00
10
01
00
11
11
00
00
10
10
00
00
10
10
10
00
10
00
10
10
10
10
01
11
01
00
00
10
11
00
10
00
01
10
10
11
11
10
00
01
11
10
00
00
11
10
10
00
00
10
11
00
00
10
11
00
10
11
00
10
01
10
10
11
10
11
11
00
01
01
00
00
01
10
00
10
10
00
10
10
10
10
00
00
00
11
01
00
00
10
10
01
00
11
10
11
11
10
10
00
00
11
00
01
11
00
00
01
00
10
00
01
01
10
11
11
00
01
10
00
10
00
00
11
00
01
01
10
00
01
10
11
10
00
01
01
01
00
10
10
00
10
00
10
11
00
10
11
10
01
00
00
11
10
10
00
00
10
11
01
00
01
10
10
10
10
11
01
10
00
00
00
01
11
11
10
00
01
10
00
00
01
11
10
10
10
10
11
10
01
10
10
10
11
10
11
00
01
00
01
10
00
00
10
11
00
11
11
10
10
00
10
10
00
00
00
11
00
00
10
00
01
11
11
11
01
11
01
00
10
01
00
10
00
01
11
00
10
10
00
00
10
10
01
10
11
11
01
10
00
11
01
10
01
01
10
11
01
00
00
01
11
10
00
01
10
10
10
00
10
10
11
11
11
01
00
00
10
11
00
00
00
10
11
01
10
11
00
01
00
01
11
00
11
10
01
01
00
11
11
10
01
00
11
01
11
11
11
10
01
10
10
00
00
11
10
01
00
01
00
11
00
00
00
10
11
10
10
01
10
10
10
10
10
11
11
00
01
10
00
10
01
00
01
11
10
00
01
10
10
11
00
10
00
00
11
10
01
00
10
01
01
11
10
00
11
00
00
01
01
11
10
00
00
11
00
01
01
01
10
10
10
10
01
01
10
10
00
00
10
00
01
00
01
00
00
00
01
00
10
10
10
10
00
11
00
10
01
00
00
10
00
01
10
01
01
10
00
11
01
01
10
00
00
11
10
00
10
10
00
00
00
00
00
10
10
00
00
00
00
01
10
00
11
10
00
10
11
10
10
01
00
00
10
10
01
00
10
10
01
00
11
10
11
11
11
00
10
00
11
10
00
00
11
11
00
00
11
00
00
10
10
01
10
10
00
11
10
10
00
00
10
10
10
11
01
11
00
00
11
10
00
10
00
01
00
11
01
11
11
10
10
00
10
11
00
00
00
01
11
01
10
11
11
11
10
01
10
11
00
00
10
00
00
10
11
01
00
10
10
00
11
11
00
11
10
00
00
10
10
00
00
10
00
11
00
10
00
01
10
00
10
10
10
00
00
10
00
00
00
10
10
01
10
01
10
00
10
01
10
01
10
11
00
00
10
10
01
10
01
00
00
11
01
00
11
11
10
11
00
00
10
01
00
01
10
10
00
01
10
11
00
00
01
10
00
00
00
00
10
10
10
10
00
11
00
00
10
10
00
01
10
01
00
11
00
10
00
00
11
11
10
10
00
00
00
00
00
11
00
00
00
00
11
00
00
11
10
00
00
10
01
00
11
00
10
11
11
00
10
00
00
10
10
11
10
00
01
10
10
11
00
00
00
10
11
10
00
00
11
10
00
00
11
11
10
00
00
10
10
10
01
01
10
00
10
00
00
00
10
00
10
10
00
11
01
01
01
00
10
10
10
10
01
00
11
01
00
11
00
00
10
10
11
11
00
01
00
01
10
10
10
01
10
10
10
01
00
01
11
11
11
00
10
10
00
00
10
10
00
00
01
01
00
10
01
10
11
11
11
01
10
10
10
10
11
11
01
01
11
10
01
00
10
00
00
11
11
11
00
01
11
10
00
01
00
10
11
00
01
00
10
10
11
01
00
00
01
11
10
00
11
11
01
01
11
01
10
11
01
01
10
11
00
01
00
11
10
10
00
01
00
11
00
11
10
01
10
10
00
10
00
00
10
00
00
10
10
10
10
00
11
00
11
10
01
10
00
00
10
10
01
10
00
01
00
00
00
11
10
10
10
01
00
10
11
01
00
00
00
11
01
10
00
00
01
01
00
10
00
10
10
10
11
01
10
00
10
11
10
01
10
10
01
00
11
10
00
00
01
00
01
10
10
11
00
00
00
11
10
10
00
00
11
01
00
10
11
01
01
11
00
10
10
00
10
10
01
00
10
00
00
10
00
00
00
10
00
01
11
11
00
00
01
00
11
10
10
01
11
10
00
10
10
10
10
11
01
10
10
10
10
00
00
00
01
10
01
10
01
10
01
10
10
11
00
10
11
10
00
10
10
00
00
01
00
11
10
10
10
11
11
00
00
10
00
10
11
11
01
00
10
10
00
00
10
11
00
00
00
01
10
10
00
01
10
00
01
10
01
11
10
00
10
11
00
00
01
01
01
01
00
11
11
11
11
11
10
00
00
01
10
11
00
00
01
00
11
10
10
00
10
01
01
10
10
00
10
10
10
10
00
00
00
11
00
00
10
00
01
01
10
10
00
10
00
00
10
00
00
10
10
00
11
01
11
01
00
11
00
01
10
01
00
10
11
00
11
10
01
11
11
00
10
10
01
00
10
10
00
00
01
10
00
10
11
00
10
00
00
00
00
10
01
10
10
00
00
11
10
11
00
10
01
10
11
10
10
01
10
00
00
00
10
11
10
00
11
10
11
10
10
11
00
10
00
00
11
10
00
00
10
10
00
00
10
00
10
10
01
00
00
10
10
10
00
10
10
01
00
11
10
00
10
11
10
11
11
00
00
00
11
01
00
10
10
00
10
00
00
01
11
01
00
10
10
00
11
11
00
00
11
10
00
01
10
10
11
00
00
00
00
10
10
00
00
10
10
10
10
00
00
11
00
01
11
10
01
10
10
01
00
00
10
11
01
01
11
10
10
00
01
00
10
11
01
00
10
10
10
00
10
11
10
01
00
11
01
00
01
11
01
01
00
10
00
00
10
01
00
11
00
10
10
10
00
00
10
11
00
11
01
01
00
01
10
10
01
10
10
01
00
11
01
01
00
01
11
00
01
10
11
00
11
10
01
11
11
00
00
10
11
01
00
10
11
10
01
00
00
01
11
11
01
10
10
00
11
10
00
01
10
00
00
11
10
10
10
00
11
10
00
00
00
10
00
00
11
10
00
10
00
00
10
00
00
10
00
10
01
10
10
10
00
01
00
10
11
10
10
01
10
10
00
01
00
11
11
10
10
00
00
00
01
00
11
00
01
01
00
00
10
10
10
00
01
11
10
00
10
10
00
10
11
00
11
00
01
01
00
01
10
10
00
00
10
01
00
11
10
11
00
00
00
00
10
10
00
11
01
00
00
10
00
01
00
01
10
00
11
11
11
00
01
10
00
11
00
11
10
01
00
00
10
10
11
00
11
00
01
00
10
11
00
10
11
00
11
10
01
00
10
10
00
01
00
10
10
01
00
01
00
10
01
00
00
11
11
01
00
10
00
10
11
00
10
00
00
00
11
11
11
10
00
01
11
10
10
00
00
11
00
10
10
10
10
00
10
00
00
01
00
11
10
10
10
11
11
00
01
11
11
01
01
10
00
10
10
10
10
01
00
01
00
11
10
10
00
01
00
10
01
10
01
00
00
00
01
11
10
10
00
11
00
01
10
10
00
11
00
00
11
11
01
00
00
10
10
10
10
01
01
01
01
11
10
00
01
10
00
01
10
11
01
00
00
10
00
01
00
00
10
10
10
10
10
10
10
00
00
10
10
10
01
00
00
00
10
00
00
00
00
00
00
01
01
11
10
00
00
11
11
01
11
11
00
10
00
11
00
00
10
10
00
10
00
10
11
00
01
00
10
10
10
00
01
10
10
00
01
00
10
00
01
10
11
01
10
10
11
00
00
01
00
00
00
11
10
00
00
00
10
10
10
10
00
00
00
00
10
00
10
11
00
00
10
00
00
10
00
10
10
01
11
11
11
10
00
00
10
11
00
00
11
10
11
11
10
00
00
10
00
01
10
10
00
00
11
01
00
11
10
00
00
00
01
00
11
11
11
11
00
10
00
01
10
00
10
10
10
00
00
10
00
10
10
01
00
10
01
10
00
00
11
01
01
10
00
11
10
00
01
10
11
00
10
01
00
00
10
11
00
10
10
00
10
10
11
11
00
00
00
11
00
01
11
01
00
01
00
10
01
00
00
11
00
01
10
10
00
10
10
00
00
00
10
10
01
10
01
11
01
10
10
00
11
00
00
01
10
00
00
00
10
01
10
00
01
11
00
00
11
00
00
11
10
00
10
00
00
00
00
10
00
11
11
00
00
00
10
11
00
10
00
11
10
10
10
10
00
00
01
10
11
01
10
11
00
01
10
11
00
11
10
11
00
00
11
00
11
10
01
01
10
10
01
11
10
00
00
11
00
01
00
11
11
10
10
00
00
11
10
00
11
10
11
01
00
00
10
00
01
11
10
10
10
00
00
10
11
00
00
01
10
10
00
10
00
00
00
11
11
01
00
10
10
00
10
10
00
00
10
10
10
11
01
11
01
00
10
00
10
10
00
10
00
01
10
00
01
01
10
11
11
00
11
01
00
01
10
10
11
00
01
10
01
10
10
00
10
01
01
10
11
00
01
10
01
10
11
01
11
01
01
11
10
10
00
10
10
01
01
11
00
10
10
01
00
00
00
10
00
00
00
10
10
10
10
01
11
10
00
01
00
10
00
00
01
00
00
10
01
00
00
00
11
11
11
10
10
00
00
01
00
11
00
10
11
00
01
11
11
01
11
11
01
00
10
10
00
01
10
10
00
10
10
00
10
00
00
00
00
11
11
01
10
10
01
00
00
10
00
00
11
10
00
10
10
00
11
00
10
00
00
11
11
11
00
10
01
00
01
01
10
01
10
10
11
10
01
00
11
10
00
01
10
11
00
01
10
00
01
10
00
00
00
10
10
01
11
00
01
00
00
00
00
10
10
01
01
10
00
11
01
01
00
10
01
10
00
01
11
10
10
00
01
10
10
11
10
10
00
11
00
00
00
00
10
10
00
00
00
00
01
11
01
10
00
10
10
00
10
00
11
11
00
10
00
10
10
10
00
00
00
00
11
10
11
00
01
10
01
00
10
00
10
10
00
10
00
01
01
10
01
01
00
11
01
00
11
10
10
11
00
01
00
10
01
10
00
10
11
10
10
01
01
01
10
01
10
11
00
10
00
00
10
11
00
11
01
00
00
10
00
00
10
11
01
01
10
00
10
10
11
01
00
10
10
11
10
10
00
01
10
10
01
01
01
00
11
10
10
11
00
11
00
00
11
10
01
10
00
00
10
10
11
00
01
00
10
10
11
11
01
11
11
01
00
01
00
11
00
00
10
01
01
10
00
11
11
00
11
10
00
00
10
10
00
10
01
10
00
01
01
00
10
01
00
01
11
01
10
00
00
10
00
01
00
10
10
00
10
10
00
11
10
00
10
01
00
10
11
00
00
10
10
01
01
11
10
10
10
11
11
01
10
10
00
10
11
10
10
01
11
11
00
01
10
10
10
10
00
00
01
10
00
11
01
10
10
10
11
00
00
10
01
10
11
00
00
10
10
01
00
11
10
00
00
01
10
10
10
00
00
11
11
00
10
10
00
10
01
10
00
10
00
00
10
10
10
10
01
10
11
11
10
10
00
10
10
00
01
00
10
11
01
11
01
00
11
11
11
00
01
10
10
10
01
00
10
10
10
00
10
10
01
00
00
11
00
10
10
00
10
10
00
00
00
00
00
11
10
11
10
10
11
00
11
00
10
10
00
10
00
00
10
10
00
00
10
00
11
10
01
00
11
10
10
11
11
00
01
01
10
01
10
11
00
01
00
01
10
00
10
00
01
10
10
01
01
10
10
11
00
00
00
00
10
00
10
10
00
11
10
11
01
00
10
00
10
00
00
10
00
00
00
00
11
11
01
11
01
00
00
00
11
10
01
01
10
11
11
10
00
10
10
00
01
10
01
00
11
11
00
00
10
10
00
00
11
01
11
00
10
01
11
10
00
11
10
00
00
10
00
00
00
00
00
10
10
01
11
00
10
10
10
00
10
10
00
00
01
11
01
00
00
11
11
00
11
00
00
11
00
11
00
01
11
00
10
00
10
10
10
10
00
01
01
01
11
01
00
00
01
10
10
10
10
00
10
10
00
00
10
01
10
00
00
01
00
11
01
10
10
00
11
11
00
01
11
10
10
00
00
11
10
11
00
00
11
10
11
11
10
01
00
11
00
00
10
11
00
00
10
10
00
10
00
00
01
00
00
00
10
10
00
11
10
00
10
01
11
11
00
10
00
10
10
00
01
10
10
11
10
11
00
10
00
11
11
00
00
10
11
10
00
00
10
10
01
00
11
10
00
10
01
00
10
01
00
00
00
00
11
10
11
11
10
11
10
01
10
10
11
00
01
11
11
10
00
01
10
10
00
00
10
00
00
10
10
10
00
00
10
10
10
00
01
10
00
00
00
00
00
11
10
00
01
10
00
10
01
11
10
01
00
00
01
00
10
10
00
00
11
10
01
00
00
10
01
00
10
10
00
10
11
00
00
11
10
00
10
00
10
11
00
10
10
10
11
00
00
00
00
01
01
11
01
00
10
11
10
01
01
11
10
01
01
10
01
00
11
11
01
01
10
01
11
10
00
00
10
11
00
11
11
10
10
00
01
10
01
01
00
00
10
10
00
11
01
10
11
00
10
10
00
01
00
01
10
01
11
00
01
11
00
01
01
10
10
00
00
10
10
00
11
10
00
01
00
10
10
10
00
01
10
11
10
01
00
00
11
11
11
10
00
11
00
01
00
00
10
11
00
10
10
00
00
00
00
10
10
10
00
11
10
00
11
10
10
00
01
00
10
11
11
00
11
10
10
10
01
01
00
11
10
01
00
01
10
00
01
10
11
01
01
10
01
10
10
00
00
10
10
11
00
10
10
10
10
10
01
11
01
11
01
01
10
01
00
10
10
01
01
10
10
01
00
10
01
11
11
01
00
00
00
11
11
00
01
10
00
10
00
10
10
01
00
11
10
10
00
10
00
10
00
01
00
11
00
00
00
10
01
10
11
01
00
00
00
11
11
00
01
00
10
00
00
01
01
10
10
00
01
00
11
10
01
10
01
10
10
00
11
10
01
11
10
10
10
00
01
11
10
00
10
00
00
10
11
00
00
11
01
11
00
11
10
00
00
10
00
01
00
01
11
10
01
00
00
00
10
10
00
10
10
00
00
10
10
01
01
00
00
10
10
00
00
01
10
01
00
11
11
10
10
11
00
00
00
11
00
00
00
10
10
00
11
00
01
00
01
00
00
10
00
10
11
10
00
10
01
01
11
00
00
01
00
00
10
10
00
00
00
10
00
10
01
11
10
01
01
10
10
10
00
00
10
10
10
11
10
01
00
10
00
00
00
00
10
00
10
11
10
10
10
01
10
11
00
11
00
11
10
00
00
10
01
00
00
10
10
10
01
00
10
00
01
11
00
10
01
10
11
00
10
10
01
01
11
00
00
01
01
00
00
10
11
11
00
00
00
00
00
10
10
00
00
10
11
11
00
00
10
10
10
01
00
01
10
00
00
01
00
11
01
10
00
00
01
11
01
00
00
10
00
10
00
00
10
01
00
10
10
01
11
00
10
10
00
10
00
11
01
10
11
11
11
10
01
01
01
10
10
10
10
10
00
01
10
00
00
01
10
01
10
00
01
10
10
11
00
10
10
10
01
11
01
00
01
10
11
11
01
01
10
10
00
10
11
10
10
01
10
10
10
11
01
11
00
00
00
01
01
11
10
01
00
00
10
10
10
00
00
10
01
01
10
10
01
01
00
00
00
11
11
00
11
10
11
00
00
10
00
00
10
11
10
11
00
10
10
10
10
00
00
10
01
00
11
11
01
00
10
00
10
00
01
00
10
10
00
00
10
10
00
11
01
10
11
00
10
00
01
11
00
10
10
11
00
00
01
10
10
01
11
10
11
10
01
00
11
11
00
00
11
01
01
10
10
00
11
11
00
00
10
11
11
10
01
00
11
00
10
10
00
11
01
10
10
10
10
11
10
00
10
00
01
11
00
01
00
10
10
00
00
11
10
01
11
00
11
00
00
10
10
10
00
00
10
11
10
01
00
10
01
01
00
11
10
01
00
00
00
10
10
00
11
00
00
10
11
00
11
01
10
00
10
10
01
10
01
10
10
00
01
10
10
10
01
00
11
00
00
00
00
01
11
11
01
01
00
00
00
10
01
11
10
01
11
10
10
00
00
11
11
00
10
11
00
10
11
01
11
10
01
10
01
00
11
01
00
10
10
01
10
00
01
01
01
11
10
11
00
11
10
00
01
11
10
11
00
00
00
11
10
10
00
00
00
10
00
10
10
10
10
11
00
00
10
00
10
10
10
00
10
00
10
00
00
10
11
01
10
10
10
00
10
01
10
10
00
11
10
10
00
00
00
00
11
10
10
01
00
10
11
10
10
11
00
00
00
11
01
00
10
10
10
10
01
01
00
00
10
10
10
10
10
00
00
00
00
11
10
10
11
11
10
10
00
01
10
00
10
00
01
10
00
11
00
11
00
01
10
10
10
10
10
00
11
10
10
01
01
01
00
10
00
11
10
00
00
10
10
11
00
00
10
01
00
00
00
10
11
10
10
00
00
10
10
00
01
00
11
00
00
10
10
01
11
11
00
00
10
10
00
10
11
01
11
10
11
10
10
00
00
10
10
11
00
00
10
10
10
10
00
00
00
11
10
01
00
00
11
11
01
01
00
01
10
11
00
10
10
11
01
00
00
00
10
10
10
01
10
01
01
01
11
01
00
00
11
10
00
00
11
10
01
00
10
00
01
10
10
10
00
10
01
11
10
01
00
10
00
00
00
00
11
10
00
00
01
10
10
10
01
10
10
10
00
00
00
00
00
01
00
01
10
10
00
01
01
10
11
00
10
10
10
01
01
11
10
00
00
00
00
10
00
00
10
10
00
11
10
10
00
00
01
00
10
11
00
01
00
00
10
00
00
01
10
10
10
10
00
00
00
00
01
10
00
00
10
10
00
00
10
10
00
00
01
00
11
10
11
10
00
10
00
10
10
01
11
10
11
11
00
01
11
10
01
10
10
10
00
00
11
00
00
11
01
11
10
00
10
00
01
00
10
10
10
01
11
00
01
00
10
11
11
10
10
01
11
11
10
11
01
01
00
00
11
11
01
00
01
00
00
01
11
10
10
11
01
00
01
10
11
10
01
10
10
01
10
10
00
10
10
00
11
10
11
00
10
00
00
10
00
01
10
00
00
00
11
11
00
10
00
01
00
01
10
01
11
00
11
11
11
11
10
10
00
00
10
00
01
10
10
00
10
00
00
10
11
00
01
11
00
01
11
10
00
00
10
10
00
00
10
10
01
11
00
10
00
00
00
00
10
10
01
00
00
11
00
11
11
00
00
11
01
00
10
10
00
00
00
10
00
00
00
00
00
00
01
00
01
00
11
01
00
11
00
00
10
01
00
11
10
10
11
00
00
00
10
11
10
01
00
11
00
00
11
10
00
10
01
11
00
01
00
00
00
00
10
00
01
10
11
10
10
11
00
10
11
01
00
01
10
00
11
10
01
10
01
00
01
10
10
00
10
10
00
10
10
00
00
11
00
00
10
01
10
11
00
00
00
11
01
11
01
00
00
10
10
10
00
00
10
10
00
00
10
00
10
11
10
11
00
00
10
00
00
10
01
00
11
10
01
11
10
11
00
10
01
00
10
00
10
10
10
00
10
00
00
10
10
00
11
00
01
10
00
00
01
11
10
00
11
11
01
01
10
10
11
01
10
00
00
00
10
11
00
11
11
00
01
10
10
00
11
00
01
11
10
01
01
10
00
11
11
01
00
11
11
00
00
11
01
00
11
10
00
00
00
10
11
00
01
11
10
00
10
11
01
00
10
00
01
01
11
10
00
11
11
10
00
11
01
00
11
11
10
01
10
00
00
10
01
10
11
01
11
00
00
00
01
10
00
01
11
10
10
00
11
00
10
00
00
11
10
11
01
10
00
10
01
00
11
10
00
00
00
11
10
10
00
00
01
00
00
10
10
01
10
11
10
01
00
00
11
00
00
11
00
00
11
10
11
00
10
11
11
01
00
10
10
01
00
00
10
10
11
10
00
00
10
10
00
11
10
10
10
11
10
00
00
10
10
00
00
10
00
10
10
00
11
11
11
00
01
00
10
01
10
11
00
01
00
00
00
10
00
00
10
10
01
00
11
10
10
00
10
11
10
00
00
01
01
01
00
10
11
00
00
00
10
11
00
00
01
00
11
10
01
10
00
10
10
00
00
00
00
10
01
00
11
01
11
00
10
10
11
10
01
10
10
11
00
10
11
01
01
01
01
00
00
00
10
11
11
00
00
10
10
00
10
10
10
10
00
10
11
00
00
10
00
10
01
01
11
00
00
00
00
01
11
00
01
11
10
10
00
11
00
00
11
00
01
10
11
00
00
10
00
01
00
11
00
10
10
01
00
00
10
10
01
00
11
10
01
11
01
10
11
11
11
11
01
00
10
00
00
10
10
10
00
00
11
11
01
10
10
01
10
00
10
00
00
10
11
00
01
00
10
10
10
00
01
00
10
10
11
10
10
11
00
00
10
11
10
01
00
10
00
00
00
10
01
00
00
11
00
10
00
00
10
11
00
00
10
11
10
10
00
10
11
00
01
01
11
11
10
11
11
00
00
10
10
10
10
10
01
00
01
00
01
11
10
00
01
10
10
00
00
11
00
00
10
11
11
01
11
10
00
10
10
00
00
10
10
10
10
11
01
10
00
01
11
11
01
10
01
00
01
10
00
11
10
00
00
10
00
00
01
10
11
00
11
10
00
10
00
00
10
10
00
00
10
10
10
01
01
10
10
00
00
11
10
00
00
11
00
10
11
01
00
01
11
11
10
11
00
00
10
11
00
00
00
01
01
11
10
00
10
00
00
11
11
00
00
00
01
11
11
00
10
00
10
10
00
10
10
00
00
00
10
00
10
10
10
10
10
10
10
01
01
00
00
00
10
00
00
00
10
10
00
11
00
10
11
00
11
10
00
00
11
10
10
11
01
11
10
11
01
01
11
01
10
01
01
10
00
10
11
11
00
10
01
00
00
10
10
00
00
01
10
00
10
01
00
11
00
00
10
01
00
10
10
11
10
00
10
10
01
01
11
00
11
10
11
00
01
10
00
00
00
10
10
01
11
10
10
10
01
10
10
01
00
00
10
00
10
11
00
10
11
11
11
10
10
01
01
10
11
10
01
10
01
00
10
10
00
00
10
00
01
01
11
00
10
00
11
10
11
11
00
10
10
00
00
10
10
00
10
10
01
01
10
10
00
00
00
01
11
10
01
10
01
00
00
01
01
11
10
11
00
00
10
10
00
10
10
00
11
01
10
10
10
00
10
10
00
10
10
10
00
10
01
01
01
01
10
11
10
01
01
00
11
11
10
00
00
10
00
10
10
10
01
11
00
00
00
10
01
10
11
00
10
10
11
11
00
00
11
10
01
11
01
00
00
00
11
00
11
00
01
00
11
11
10
10
01
01
00
00
00
10
10
00
00
00
10
00
10
11
10
00
01
01
00
10
01
11
10
10
00
00
11
01
00
01
10
10
00
01
10
11
01
00
10
10
00
10
00
00
11
10
01
10
00
11
01
01
10
10
10
11
10
10
01
01
10
10
11
11
10
11
01
00
11
00
00
10
11
01
00
00
11
00
10
01
11
11
01
00
01
10
11
10
00
01
10
10
01
10
00
00
00
10
01
00
11
11
00
00
00
10
10
00
11
00
00
10
01
11
01
11
10
00
00
01
10
10
00
00
00
01
10
11
00
00
00
00
01
00
10
11
00
11
10
00
00
11
10
11
11
00
11
11
10
01
11
10
10
00
00
10
10
11
10
01
11
00
10
10
00
00
01
11
10
00
00
10
10
10
01
10
00
00
00
01
00
00
10
10
00
00
10
11
00
00
00
10
00
11
01
01
00
01
10
11
00
01
01
10
10
10
10
00
10
11
01
10
00
11
11
01
10
00
10
10
00
00
11
10
00
10
10
01
11
00
01
11
11
01
10
00
10
10
00
10
00
00
11
00
00
10
10
00
11
11
01
11
10
10
10
00
00
00
10
00
00
11
10
11
10
00
01
00
10
01
00
10
00
11
10
01
00
11
10
00
01
10
00
01
11
01
11
01
11
10
00
00
01
11
10
01
10
10
11
00
11
10
10
01
01
00
10
10
00
00
01
11
00
11
10
00
00
10
11
11
00
01
00
01
10
01
00
11
11
01
10
10
00
11
10
01
11
11
10
00
00
11
01
00
11
10
01
00
10
01
10
01
01
10
10
10
01
00
00
10
11
00
00
00
01
00
10
01
10
11
01
10
11
10
00
00
10
10
00
00
10
11
01
01
10
00
01
01
00
11
00
00
11
01
11
10
00
00
00
00
01
11
00
10
00
01
11
10
10
00
00
10
11
10
01
00
10
10
00
10
10
01
01
00
01
11
10
11
00
00
10
01
11
10
10
01
00
10
01
11
10
01
01
11
00
01
10
00
01
00
10
10
00
10
00
10
10
10
10
11
10
10
10
00
00
11
10
10
11
11
00
01
10
00
00
11
11
11
01
00
10
10
10
01
00
10
00
10
00
01
11
10
00
10
00
00
11
00
01
00
10
00
10
10
00
00
10
00
10
10
01
00
01
00
10
11
00
00
11
00
00
00
01
01
00
10
00
00
01
10
11
00
11
01
01
00
01
00
10
10
11
11
11
10
00
01
10
11
00
00
00
00
00
10
10
00
11
00
10
11
10
00
00
11
00
00
00
11
10
00
00
00
10
00
01
10
00
11
00
10
00
11
11
11
10
01
00
01
10
10
00
00
00
10
00
00
11
10
11
00
10
00
11
00
00
00
10
10
01
10
10
10
00
10
01
10
10
01
00
10
10
11
00
11
10
00
10
01
10
00
01
01
11
11
10
10
00
11
11
01
00
00
10
10
10
00
00
10
00
10
10
10
00
10
01
00
10
00
00
00
11
10
01
11
10
10
01
00
10
10
00
10
11
00
10
11
00
11
00
00
10
10
01
01
11
10
00
00
11
00
00
10
01
10
10
10
00
11
10
11
10
10
11
00
01
01
10
10
11
00
10
10
00
01
11
10
00
00
00
10
11
10
11
00
10
11
00
10
00
10
10
10
11
00
01
11
10
00
00
10
11
10
00
01
10
10
01
00
10
10
00
00
01
01
10
00
11
00
00
10
10
00
00
10
11
00
10
10
11
10
00
10
10
10
00
00
00
00
00
11
00
01
00
10
11
00
10
11
10
01
11
10
01
10
00
00
00
10
10
00
01
10
10
00
10
00
10
00
11
10
11
10
01
00
00
11
00
10
00
10
10
11
01
00
00
10
11
01
11
00
10
11
00
00
10
01
00
00
10
11
10
10
10
00
01
10
01
10
00
01
10
00
01
10
00
10
00
01
10
00
10
11
11
00
01
10
00
01
00
10
11
00
00
10
10
00
10
00
10
01
00
11
11
10
11
10
10
00
00
00
11
01
11
10
01
10
10
00
00
01
11
10
01
10
10
01
00
10
00
00
10
01
01
00
10
10
11
01
10
11
10
10
01
00
10
10
10
00
00
00
10
11
00
00
10
10
00
10
10
11
00
10
10
10
01
00
00
00
00
00
11
01
01
10
11
11
00
10
00
10
11
00
00
00
10
10
01
10
10
00
11
10
00
11
00
11
00
01
10
11
10
10
10
00
10
10
01
01
10
10
00
10
10
01
00
11
01
00
00
00
11
10
11
01
00
10
10
00
01
10
11
10
10
00
01
00
10
11
00
10
00
00
10
00
00
10
00
10
00
10
10
11
01
01
10
11
00
10
10
00
01
10
00
11
01
01
00
00
10
00
00
00
11
00
00
10
00
10
11
00
01
10
10
10
10
00
00
10
10
00
00
00
00
10
10
10
00
00
10
01
11
00
10
10
00
10
00
01
11
00
00
10
00
01
00
11
10
11
00
11
11
00
10
10
11
01
00
11
10
00
01
10
01
00
11
00
00
10
00
01
10
10
01
10
10
11
10
00
00
10
11
10
00
11
10
01
10
01
01
10
00
10
11
00
01
00
11
00
00
10
00
00
10
10
00
10
10
00
11
10
10
10
01
01
00
00
00
10
10
10
00
01
01
10
10
00
10
00
00
11
11
00
00
10
00
01
10
10
01
00
10
10
10
00
10
11
00
00
01
11
10
11
11
01
00
10
01
10
11
10
00
01
11
11
11
11
00
01
01
10
10
00
00
10
00
00
00
10
00
00
01
00
10
00
00
10
00
01
10
00
11
00
01
01
00
01
11
10
00
10
10
00
00
10
10
10
00
10
10
00
01
11
01
01
10
01
00
00
11
00
01
10
11
00
10
10
00
01
10
10
10
11
11
01
11
10
00
01
11
10
00
01
10
00
11
00
00
01
00
10
00
00
00
11
10
00
00
11
00
01
10
11
10
10
10
00
00
10
10
00
00
00
00
11
10
00
10
10
10
00
00
11
10
11
01
00
00
00
11
11
10
00
01
10
01
01
11
10
10
10
00
00
11
00
01
10
01
01
10
00
00
01
10
10
01
10
11
11
00
10
10
01
00
11
10
01
00
10
00
11
10
00
00
10
00
11
00
00
10
10
00
10
11
10
00
01
11
00
00
10
00
10
10
01
01
11
11
00
10
00
00
10
11
00
01
10
00
01
10
00
00
11
11
10
11
10
01
00
00
11
10
10
01
10
01
10
00
01
01
11
10
10
00
00
00
11
10
00
00
10
11
00
10
11
11
00
01
00
00
00
00
01
10
10
00
10
00
10
10
01
10
11
11
01
10
10
11
00
00
11
01
10
11
10
10
00
11
00
10
00
00
01
00
10
10
01
11
01
11
11
00
01
00
11
00
00
10
10
10
00
00
10
00
11
11
10
10
01
01
11
00
11
00
01
10
00
11
10
01
01
00
10
10
10
11
01
00
10
01
10
00
10
10
00
11
01
00
11
10
00
11
00
10
10
00
00
11
00
00
10
10
01
10
11
11
00
10
01
10
10
10
01
01
10
10
00
01
00
01
10
10
11
00
01
01
00
10
10
00
11
10
01
10
00
01
10
00
01
01
10
11
10
00
10
10
10
01
00
11
01
10
00
11
10
11
00
00
10
00
01
00
00
10
00
10
01
11
01
10
01
00
00
00
11
00
01
10
10
10
00
01
11
00
00
00
00
00
11
01
00
10
10
10
00
10
10
01
00
11
00
01
10
01
01
01
00
10
01
10
10
00
01
10
00
00
10
10
11
10
11
00
10
01
01
01
00
00
10
01
00
01
00
10
10
00
10
10
10
01
10
11
00
01
10
00
01
11
10
01
11
11
10
01
00
00
00
10
10
11
10
00
10
00
11
10
00
00
00
10
10
01
01
10
10
10
00
00
01
00
00
10
00
01
10
11
11
10
01
10
00
00
01
10
10
01
01
00
10
10
00
10
10
10
10
10
10
01
00
00
01
01
00
10
11
00
00
11
10
11
00
10
11
10
01
00
10
11
01
00
00
10
10
10
10
00
00
00
00
00
00
00
10
11
01
01
00
00
11
00
10
00
11
10
01
00
10
10
00
00
01
00
10
00
01
10
10
00
10
00
10
11
10
11
00
00
10
10
10
00
01
10
01
10
10
10
10
00
11
10
00
00
00
11
11
11
00
11
00
01
01
10
10
10
00
01
01
10
01
11
10
10
00
00
11
11
10
10
01
00
10
00
11
10
00
10
00
00
10
00
00
11
00
00
11
11
10
01
00
10
01
10
00
01
10
11
10
11
00
11
00
11
10
00
10
10
01
01
00
11
00
00
00
10
01
01
11
10
10
00
10
00
10
11
01
00
11
00
01
00
00
10
00
00
10
11
10
00
00
10
11
10
00
00
10
00
00
10
00
10
10
00
00
11
00
11
01
00
01
10
10
01
10
00
10
00
01
10
10
00
00
10
10
11
00
00
11
10
10
10
00
01
10
00
00
11
10
10
10
11
01
11
01
01
10
10
01
10
11
00
00
01
11
01
11
10
00
10
10
01
10
01
01
10
11
10
00
10
10
00
10
10
00
10
00
10
00
00
10
10
10
11
00
01
10
10
00
00
11
10
11
00
01
11
01
00
00
10
10
01
10
01
10
11
00
10
10
11
10
01
00
10
11
10
01
10
10
01
10
01
10
10
00
10
01
10
11
00
01
11
11
00
11
00
01
00
11
00
00
10
10
10
01
00
00
10
00
00
11
10
11
11
00
01
10
00
10
11
00
10
10
01
00
10
10
10
00
11
11
00
00
11
11
10
10
10
00
01
11
10
10
11
00
01
00
10
01
10
10
10
10
00
11
10
00
10
10
10
00
00
10
00
00
01
01
10
00
10
10
11
10
00
10
10
00
00
10
01
00
10
10
01
00
00
10
10
01
10
10
00
00
01
10
10
00
01
10
00
10
10
01
00
00
00
10
00
10
11
01
10
00
11
10
00
10
10
01
10
10
00
00
00
10
11
00
00
10
11
00
00
11
10
01
11
01
00
10
01
01
10
00
10
10
00
10
11
00
01
10
00
01
00
00
01
10
10
00
01
01
10
11
00
01
10
10
10
01
10
00
00
10
10
01
10
10
11
00
01
00
00
10
11
10
00
10
10
10
10
11
00
00
10
00
00
01
00
11
00
01
00
01
00
00
11
11
10
00
11
10
01
00
00
11
00
00
01
00
11
10
00
00
11
00
00
10
10
10
10
10
00
00
00
00
00
10
10
00
00
00
11
00
00
11
00
10
10
11
01
00
10
01
11
11
00
00
10
11
10
11
11
00
01
11
10
00
00
10
01
00
11
11
10
00
10
11
01
10
01
11
11
01
00
10
10
01
00
00
10
00
10
11
00
01
10
11
10
11
00
00
00
10
11
00
10
10
00
00
11
11
01
00
11
11
10
11
11
00
01
00
01
10
11
00
10
10
01
01
11
10
00
00
10
01
10
00
01
11
01
10
10
10
11
00
11
01
01
01
10
00
00
11
11
10
01
01
00
00
11
10
01
10
11
00
11
00
10
00
00
10
00
10
11
00
00
10
00
10
10
10
11
10
00
10
00
11
10
01
00
01
01
01
00
00
10
10
10
10
10
11
00
01
11
01
00
11
11
00
00
10
00
00
00
11
01
01
00
11
11
00
00
11
10
00
11
10
10
11
10
10
01
10
00
10
00
00
01
11
00
00
00
10
10
10
11
00
00
10
00
00
10
01
10
10
10
00
11
10
00
01
10
10
01
01
01
10
11
11
11
01
00
00
00
10
11
10
01
10
10
00
01
11
10
11
00
10
11
10
01
00
00
00
11
11
01
00
11
10
01
00
10
00
10
10
00
10
11
00
10
01
00
11
10
10
01
10
01
10
10
00
10
00
10
00
10
10
00
00
11
01
00
10
10
00
10
10
01
00
00
10
11
10
00
00
10
01
00
11
00
10
00
00
11
10
10
00
00
10
11
10
10
00
11
11
10
10
00
10
10
01
00
10
11
01
00
11
01
01
01
11
00
10
10
00
11
10
01
10
00
00
10
10
10
01
00
00
11
01
00
00
10
11
10
00
00
10
11
10
00
00
11
00
01
01
11
10
01
01
10
00
01
00
10
01
00
10
10
10
00
10
10
01
11
10
00
01
00
01
01
11
10
10
00
01
10
10
00
10
00
00
10
01
10
10
01
11
01
11
00
00
11
00
11
11
01
00
11
10
01
00
10
00
00
10
11
11
00
10
11
00
10
10
00
11
10
00
11
00
11
10
00
10
10
01
01
10
00
10
10
00
01
10
00
01
00
00
10
10
00
00
10
00
11
00
10
10
10
11
10
01
11
00
01
00
10
00
11
00
00
11
01
11
10
00
11
10
00
11
00
00
10
01
10
11
00
01
11
11
00
10
10
11
00
01
00
11
10
00
00
01
01
11
11
10
10
00
01
00
10
10
00
11
10
01
10
10
10
10
00
00
11
10
00
01
10
11
00
00
11
00
00
10
10
01
00
11
00
10
00
10
11
10
11
00
00
00
11
01
01
10
00
11
10
00
10
01
00
11
10
10
01
00
01
10
10
10
00
00
00
10
11
01
01
10
10
00
10
00
00
10
11
00
11
01
00
00
11
11
00
10
10
11
11
01
10
00
01
00
10
00
11
10
11
10
11
01
10
10
00
10
10
11
00
01
10
00
00
10
00
00
00
11
10
01
10
00
10
00
00
01
00
11
01
11
10
10
00
10
00
01
10
11
01
01
10
00
10
00
10
01
00
10
00
01
10
11
00
11
10
00
10
10
00
00
01
10
10
00
10
10
00
01
01
10
10
11
10
01
11
10
10
00
00
11
10
00
00
10
10
11
11
00
01
01
10
10
01
11
00
10
11
00
00
00
10
11
01
10
00
11
11
01
00
00
10
10
01
10
10
00
01
00
10
10
10
10
00
11
01
11
10
00
11
00
00
00
10
10
10
00
00
01
10
10
10
00
00
00
01
10
00
10
10
10
00
11
11
10
00
00
00
10
11
00
10
10
00
01
00
00
10
00
11
10
11
00
00
01
10
10
10
00
00
10
01
10
00
00
01
10
10
01
10
00
01
10
10
11
00
00
11
01
01
01
11
01
00
11
10
10
00
10
11
00
00
11
00
01
01
11
10
00
00
10
10
10
10
00
01
01
00
01
10
00
11
11
01
10
11
01
00
00
11
01
01
10
10
10
00
01
10
10
00
10
00
10
11
00
00
11
00
11
10
10
10
00
00
10
10
11
00
00
10
00
10
01
01
00
01
00
11
11
00
01
00
00
10
10
00
10
01
11
10
00
01
00
00
00
00
10
01
00
10
11
10
00
01
11
10
00
00
01
00
10
10
11
10
00
00
10
00
11
01
01
00
10
11
11
11
01
00
10
11
00
10
00
00
11
10
10
00
00
00
11
11
00
10
10
10
00
10
00
01
00
00
00
01
00
10
01
11
10
01
00
00
11
00
11
01
00
11
11
01
01
10
10
00
00
10
10
00
01
11
10
01
00
10
10
01
00
11
10
10
00
01
11
10
10
00
00
10
11
00
00
10
11
10
11
11
00
00
10
10
11
00
11
11
01
10
10
11
00
10
11
00
01
00
11
11
10
10
10
11
11
00
01
01
11
10
10
11
10
01
01
11
10
10
10
10
00
00
01
11
00
01
11
11
11
10
00
10
10
00
10
10
00
11
11
00
11
01
11
10
11
01
10
01
00
00
00
01
10
10
10
10
00
10
10
00
11
00
00
10
10
10
01
10
10
11
11
01
00
11
10
00
01
00
00
10
00
10
01
01
00
10
10
00
01
00
11
00
01
01
00
00
10
00
01
00
11
00
00
10
10
00
00
00
10
01
00
10
10
00
00
10
00
01
10
10
10
11
10
01
00
00
00
10
11
00
10
00
00
10
10
10
01
00
10
00
10
00
10
10
10
00
00
00
01
10
10
00
01
10
00
10
10
00
00
00
00
01
00
10
00
10
00
10
11
00
00
11
00
10
00
00
01
10
00
00
10
00
00
10
10
11
01
11
10
00
01
00
11
00
10
11
11
00
00
01
10
11
01
01
01
10
10
01
10
11
00
01
10
10
00
11
00
00
10
10
10
10
00
01
00
10
00
00
10
10
10
10
10
01
11
11
10
00
00
10
01
01
00
11
10
00
01
00
11
00
10
10
00
11
10
10
00
01
10
10
00
10
10
00
00
10
01
00
00
00
11
11
10
10
10
10
00
00
10
10
01
00
10
00
11
10
01
00
10
10
00
11
10
10
00
01
00
00
00
10
00
01
00
01
11
11
01
11
01
11
11
00
11
10
01
11
10
01
00
00
11
11
00
01
11
10
00
11
10
00
10
10
01
11
00
00
00
00
10
10
00
00
10
10
01
01
00
01
10
10
00
00
00
10
11
00
00
00
11
10
00
00
01
10
01
10
10
01
10
00
11
00
00
01
00
10
10
01
00
00
11
01
00
10
01
10
00
10
00
00
00
10
01
10
10
00
10
00
01
01
10
00
00
00
00
00
10
11
00
10
10
00
10
11
10
10
10
01
01
00
00
10
00
01
01
10
00
01
10
11
11
01
10
10
00
00
10
10
00
00
00
01
10
00
00
11
00
00
10
11
10
00
01
11
01
00
00
11
11
00
00
10
00
10
10
10
10
00
01
11
00
01
01
10
00
10
00
01
11
11
00
00
00
00
10
10
00
11
00
00
00
00
00
10
01
01
01
10
00
11
11
01
00
11
10
00
00
10
11
01
00
10
10
10
01
01
10
10
00
01
00
10
10
10
00
11
00
00
11
00
01
11
00
00
01
11
10
01
00
01
10
11
11
11
01
00
11
00
10
11
11
10
11
00
01
00
00
00
11
00
00
10
10
10
11
00
11
10
00
10
00
00
10
00
00
00
01
00
11
00
11
10
00
10
00
01
01
10
10
00
00
11
10
10
10
11
00
00
00
01
10
00
01
10
00
10
10
10
10
10
01
00
10
00
10
00
11
00
01
10
01
10
11
10
10
00
00
10
11
11
00
10
10
01
10
00
01
10
00
10
01
00
11
00
00
11
10
11
01
00
11
10
10
00
00
10
10
00
00
00
00
00
11
11
11
00
10
00
00
10
11
11
10
01
00
11
01
00
10
10
01
00
11
10
10
00
00
00
11
00
00
10
00
00
11
10
10
11
01
00
10
10
01
11
11
01
10
11
11
01
00
10
10
01
00
11
11
00
10
01
01
11
01
01
00
10
00
00
00
10
10
00
01
00
00
01
10
10
00
10
10
00
00
00
00
01
01
10
10
11
01
10
00
10
11
11
01
01
11
00
11
01
00
10
10
10
11
00
00
01
01
10
00
00
10
01
00
11
01
00
00
10
00
10
01
00
10
00
10
10
00
10
10
11
10
10
00
01
01
10
10
11
10
00
01
00
00
10
01
01
00
00
11
10
01
10
11
00
00
00
10
10
01
11
11
11
01
00
10
11
10
10
00
00
00
01
10
11
10
01
00
11
10
10
10
10
00
00
00
00
00
01
01
10
01
00
00
00
00
00
01
10
10
10
00
10
00
01
10
11
00
01
10
10
00
11
11
11
00
00
10
01
10
10
01
01
11
10
01
11
11
10
01
01
10
10
00
00
10
01
00
11
10
01
01
10
01
10
10
00
11
10
11
00
00
10
10
01
00
11
11
10
01
10
00
00
10
10
00
10
00
00
00
00
10
01
10
00
10
10
10
11
11
00
00
01
00
00
10
00
10
10
00
00
01
10
00
01
01
00
00
10
10
00
00
10
10
01
00
11
00
00
00
01
01
10
00
01
01
11
01
11
10
01
01
11
10
00
00
10
00
00
10
10
00
10
10
01
01
10
10
10
10
10
11
00
00
11
00
10
10
00
10
10
11
00
00
11
11
00
10
10
00
10
10
00
11
01
00
11
01
00
10
10
10
10
11
00
01
10
01
01
10
00
11
00
00
10
10
10
01
10
00
01
10
11
01
11
10
00
01
00
01
10
11
11
01
10
10
00
10
00
00
00
11
00
01
10
00
00
11
00
00
01
11
00
10
01
01
01
10
10
11
00
00
11
00
10
10
00
01
00
11
11
10
11
11
00
01
01
00
00
10
10
00
11
10
10
01
10
11
00
00
00
00
10
00
00
11
00
01
11
10
10
11
00
10
01
01
11
00
11
10
01
00
10
10
01
00
01
00
10
11
00
10
11
00
00
00
01
01
10
00
00
11
01
00
00
10
10
00
10
00
10
10
00
11
00
11
00
10
10
10
01
00
00
00
00
00
01
11
10
10
10
00
01
01
00
00
01
10
01
01
10
10
10
01
00
10
10
11
00
01
01
00
10
10
10
10
01
10
00
01
00
00
10
10
10
11
00
00
00
11
00
01
10
10
10
11
00
10
00
10
00
11
00
00
00
00
10
01
11
11
01
01
01
11
00
00
11
10
00
00
10
11
00
00
10
00
11
11
00
10
10
00
10
00
00
11
10
00
11
10
10
00
10
00
00
01
00
00
00
10
10
00
00
00
11
11
10
01
01
00
11
00
00
10
10
00
00
11
10
01
10
11
11
00
10
10
00
10
11
10
11
00
01
10
00
11
01
11
10
10
00
10
00
00
00
11
10
00
00
00
11
11
00
11
00
00
10
10
00
10
10
00
00
10
10
11
10
10
10
10
01
01
10
01
11
01
11
01
00
00
00
10
10
00
11
10
10
01
00
00
00
10
01
00
10
10
11
11
00
01
00
01
00
01
10
10
10
00
10
10
10
01
00
10
10
00
00
10
10
01
11
11
00
10
10
01
10
10
10
00
10
10
00
00
10
11
00
10
01
10
00
10
00
01
01
10
11
01
01
01
00
00
00
11
10
10
01
00
11
11
11
00
01
00
10
00
11
10
01
00
11
10
01
00
10
10
11
00
01
00
11
11
10
01
11
01
00
00
00
00
10
00
00
01
11
10
10
00
01
00
00
11
01
01
00
10
01
11
10
01
10
10
01
10
00
10
00
11
10
00
00
10
00
10
10
00
00
10
00
10
00
11
10
10
10
00
11
00
00
01
00
10
00
01
00
00
00
11
00
11
01
00
00
11
10
00
00
10
10
00
00
10
10
00
00
00
10
11
01
00
00
01
00
10
11
10
10
11
00
00
00
10
10
00
11
00
10
11
00
11
00
11
00
10
00
10
10
00
11
11
10
10
01
11
00
00
10
10
01
01
01
00
10
01
00
11
00
01
10
10
01
00
11
01
00
10
00
10
10
11
00
00
10
00
01
00
00
00
01
10
10
10
01
10
01
11
00
11
10
11
00
11
01
00
10
10
10
01
00
10
11
10
00
10
00
00
10
10
01
00
10
11
10
01
10
10
01
00
01
11
10
11
00
01
10
00
00
10
10
10
00
01
01
01
11
10
10
10
11
00
11
10
01
00
01
00
11
11
11
01
00
01
11
10
00
11
00
01
10
10
01
10
01
11
00
00
10
01
11
11
00
11
11
00
01
10
00
00
10
00
10
00
01
10
00
00
00
10
11
11
10
10
10
01
10
00
01
10
01
10
10
00
01
10
00
10
11
10
01
11
01
00
00
00
10
10
01
00
00
10
10
10
10
10
11
01
00
11
00
10
00
00
00
10
10
01
10
01
11
01
00
10
10
01
01
10
00
10
10
00
00
01
00
00
01
00
00
10
10
01
00
10
11
00
11
11
00
11
11
01
00
01
11
10
10
00
00
10
10
01
10
00
00
00
00
11
01
10
00
10
11
10
00
00
10
01
00
00
10
00
00
00
00
10
11
01
01
00
10
10
10
00
01
00
10
11
00
01
11
10
01
10
11
10
00
00
10
10
01
00
01
01
01
10
11
00
00
01
10
10
00
11
10
00
10
01
00
11
00
10
10
10
00
11
11
00
00
00
11
11
01
10
00
00
00
10
00
01
10
01
10
11
10
00
01
10
11
11
00
00
10
01
00
10
01
00
11
01
01
11
01
00
11
10
10
11
00
00
10
01
01
10
01
01
10
10
11
10
00
00
11
10
11
01
01
00
01
00
11
10
00
00
10
11
00
11
10
00
10
11
10
11
11
00
10
00
11
10
00
01
11
10
01
00
00
00
01
10
10
00
00
11
11
01
10
11
10
00
10
10
00
00
00
11
11
10
10
00
10
10
10
10
10
11
10
00
00
00
00
00
10
10
00
11
10
00
01
00
00
00
00
10
11
00
00
00
10
01
11
01
10
10
01
10
11
01
00
00
10
10
10
00
00
00
01
11
10
00
10
10
00
00
00
10
01
10
11
10
00
00
10
00
00
11
00
01
10
01
01
11
00
10
01
00
10
00
11
10
10
00
01
10
01
11
00
00
00
10
10
11
01
01
01
10
00
01
11
00
10
11
01
00
00
10
10
01
00
01
11
11
10
00
00
01
00
11
00
00
10
10
10
11
10
00
00
10
00
10
10
11
10
01
00
01
01
10
01
00
00
11
10
01
11
10
00
00
11
01
11
10
10
00
00
10
10
10
00
11
11
10
10
00
11
00
00
01
00
00
01
10
00
01
11
00
01
11
11
11
01
11
00
11
10
01
00
10
11
01
10
10
01
01
01
00
10
10
00
11
00
10
10
10
00
10
10
10
00
11
10
11
10
10
00
00
00
00
10
10
00
11
01
01
01
10
10
11
00
00
00
10
10
11
01
00
10
00
00
10
10
01
01
11
10
11
00
10
01
00
01
11
00
01
11
00
00
11
10
00
11
11
00
01
00
01
00
00
11
01
00
10
10
00
10
00
01
10
10
01
00
01
01
00
00
10
10
00
00
10
00
11
10
11
00
11
00
10
10
10
10
00
10
10
00
01
10
11
10
00
01
01
11
01
00
10
11
00
01
11
10
00
10
00
10
00
11
00
01
00
01
11
10
00
00
10
11
00
11
10
10
00
10
00
10
01
01
11
00
10
01
10
10
10
00
00
10
11
01
11
00
01
00
10
10
10
10
01
01
10
01
10
01
00
00
10
10
00
00
00
10
10
00
01
10
00
00
00
11
11
10
00
00
10
01
01
10
10
01
10
11
10
01
00
00
00
00
11
10
01
10
10
10
01
00
01
00
11
11
11
00
10
00
00
00
10
10
01
00
00
00
11
00
01
11
11
00
00
00
00
01
10
10
10
10
01
01
00
10
00
10
10
10
10
11
10
00
00
10
10
00
00
01
10
10
10
10
01
10
10
00
10
01
00
01
10
00
00
00
10
11
00
00
00
10
00
11
00
10
11
00
00
00
00
10
10
00
10
00
01
10
11
00
00
10
11
10
01
00
11
00
11
01
00
11
10
00
00
00
11
10
10
00
01
00
11
01
00
11
00
10
00
11
10
00
00
10
10
10
00
00
01
00
00
00
10
10
10
11
10
11
00
00
11
10
00
00
10
10
10
11
00
01
10
10
10
11
10
01
11
01
00
01
00
10
10
10
00
00
11
11
11
00
11
00
10
11
00
10
10
01
00
00
01
00
10
10
10
01
10
01
00
10
00
00
01
10
10
00
00
10
00
01
00
00
01
10
10
10
01
10
00
00
10
00
11
11
01
10
11
00
10
10
10
00
00
10
10
00
00
11
00
10
00
11
10
10
10
00
00
00
01
10
00
11
01
10
00
11
10
00
10
00
10
11
00
00
10
00
10
10
11
01
10
11
10
00
10
10
10
01
11
11
11
10
11
10
11
01
00
10
10
00
00
10
10
00
10
00
01
11
01
00
00
00
10
10
01
00
01
11
00
01
10
01
10
01
01
10
01
01
11
11
10
00
10
10
00
01
00
10
10
00
10
00
11
10
10
01
00
01
00
00
00
11
01
00
01
00
11
10
01
10
10
01
01
10
11
00
00
01
10
10
10
00
01
10
00
00
00
00
00
10
10
00
01
11
01
00
10
11
11
01
10
10
00
01
10
01
00
00
01
10
10
01
00
11
11
10
11
10
00
10
01
01
11
11
00
10
01
00
11
10
00
00
00
11
10
00
00
10
00
10
00
00
00
11
01
10
00
10
01
01
00
01
10
10
10
01
10
10
00
00
11
10
00
00
10
10
01
11
10
00
00
10
00
10
10
00
11
01
00
10
00
10
10
10
00
10
10
00
10
00
01
00
00
10
00
01
10
00
10
00
00
11
11
11
10
00
11
00
00
00
10
00
10
11
00
10
01
01
10
10
00
00
10
01
00
11
10
00
10
10
00
11
11
01
00
10
01
11
11
00
00
11
10
11
11
00
01
00
10
00
00
11
00
00
01
11
00
00
00
00
10
00
00
10
00
01
00
10
01
00
10
10
10
00
00
00
10
01
10
11
01
10
10
00
00
10
10
00
10
10
10
01
00
01
10
10
00
10
10
01
10
11
01
00
11
00
11
10
01
00
10
01
00
10
11
00
00
11
00
00
00
10
11
10
00
00
00
10
01
10
01
10
10
10
01
00
11
10
00
01
00
00
10
10
00
01
00
10
11
10
11
00
11
11
10
11
10
11
00
00
00
10
00
10
10
01
01
01
00
01
11
11
10
01
10
11
10
00
00
00
00
10
11
00
10
01
10
00
00
10
10
10
00
01
00
10
00
10
01
10
01
10
00
00
00
11
10
00
01
11
11
01
10
01
00
00
11
10
00
00
00
10
01
00
01
00
01
11
00
11
10
01
00
11
10
01
10
11
00
00
00
00
10
10
00
00
11
11
10
01
00
10
00
01
00
00
10
10
11
00
00
00
00
10
10
00
10
10
10
10
10
00
11
00
00
10
00
10
10
01
00
11
10
00
10
10
10
10
10
00
01
11
11
01
00
11
10
00
00
10
10
10
10
00
10
10
11
11
01
11
00
00
10
01
10
00
01
11
10
00
00
00
01
00
10
01
10
11
10
11
10
01
00
11
10
00
11
10
00
00
10
10
01
00
00
00
10
00
10
10
10
00
00
10
01
11
10
01
11
00
10
10
01
00
01
10
11
00
10
10
01
00
10
00
10
00
00
10
10
00
01
10
00
11
01
00
00
10
11
10
00
10
00
00
11
00
01
00
10
11
01
10
01
11
11
00
01
10
00
01
00
10
11
10
10
00
00
10
10
01
00
00
00
10
00
10
10
01
00
00
11
10
01
11
00
10
10
00
10
10
00
01
01
10
10
00
10
10
10
01
01
11
01
00
00
10
00
10
00
00
10
00
00
00
00
11
01
00
11
11
00
10
00
00
00
00
11
11
11
11
10
10
01
00
00
11
10
01
01
11
00
11
00
01
00
11
11
10
01
01
00
11
10
10
10
11
00
11
11
00
01
00
01
10
11
00
00
11
10
00
10
10
00
11
00
10
01
11
01
10
00
10
11
00
10
00
01
00
00
01
10
00
00
00
01
11
11
11
01
00
00
10
11
01
01
11
10
00
00
00
11
00
00
00
10
10
01
01
10
10
00
10
00
10
11
00
10
10
10
11
10
00
00
11
10
01
01
01
11
01
01
10
01
00
10
11
10
00
00
11
00
01
00
10
10
11
00
00
10
11
10
01
10
01
00
00
00
10
01
00
00
11
10
00
10
11
10
00
00
01
11
00
00
10
10
01
01
11
11
00
11
00
10
00
11
10
00
00
00
00
10
00
11
01
10
10
11
10
00
00
10
11
00
10
10
10
00
00
01
10
00
01
01
00
10
10
11
10
10
00
00
00
10
00
11
00
01
11
00
10
01
01
00
01
10
00
00
00
10
01
11
11
10
01
00
10
11
10
00
01
10
10
00
01
10
11
10
10
00
00
00
11
00
10
10
00
10
00
10
11
00
11
11
11
00
10
00
00
10
10
00
00
01
01
10
00
00
10
00
01
10
10
00
00
00
01
10
00
00
10
00
10
00
01
00
01
01
10
10
10
00
00
01
10
11
00
01
01
11
11
01
10
11
11
01
01
01
11
11
01
10
10
00
10
01
00
11
10
10
01
11
00
11
11
00
10
00
00
00
00
11
10
00
01
00
11
01
10
11
10
00
10
00
00
10
01
00
00
10
01
00
10
11
00
10
10
10
01
00
00
01
11
11
01
11
00
10
10
00
00
10
00
10
00
00
10
00
00
10
00
10
10
01
00
11
00
00
10
10
00
01
00
11
10
01
00
01
10
00
10
10
10
00
00
11
10
00
10
10
10
10
00
00
10
00
00
11
00
01
00
10
00
00
00
00
00
11
00
10
10
01
00
11
11
10
10
11
00
00
10
00
10
00
00
00
01
10
00
10
11
10
00
00
10
11
11
00
10
10
01
00
00
01
10
01
01
10
10
00
00
01
00
00
00
10
10
00
00
11
11
11
11
00
00
00
00
10
00
10
10
00
01
00
10
11
00
00
11
10
01
01
11
11
01
10
00
11
10
10
00
10
00
10
10
00
10
10
11
00
00
10
11
01
10
00
00
01
00
11
01
10
10
10
11
01
01
10
11
00
10
10
00
10
00
01
11
10
11
10
00
10
01
00
01
10
10
11
10
10
00
00
10
10
01
10
11
00
01
01
00
10
11
10
01
11
10
00
10
10
10
10
00
00
00
00
10
00
00
00
11
01
11
10
10
01
10
01
10
10
01
00
11
01
00
10
11
10
00
00
01
10
11
00
00
10
11
11
11
11
01
10
00
10
11
00
10
10
00
01
01
11
10
11
00
01
11
01
01
10
01
00
00
10
00
11
11
11
00
10
10
01
01
11
00
10
11
00
11
10
00
00
00
10
00
01
11
10
01
10
10
01
00
10
00
11
10
10
10
00
11
10
11
11
00
00
01
00
10
00
00
11
11
01
11
00
11
00
11
11
01
00
10
01
01
00
00
10
10
00
11
10
00
00
00
01
00
10
10
00
00
10
01
00
11
11
00
00
11
00
00
01
11
01
01
10
11
10
01
11
10
00
10
11
01
11
10
00
10
00
10
10
11
10
11
10
00
00
01
10
10
01
01
00
11
01
10
00
10
11
10
10
01
00
00
11
01
10
10
10
00
10
01
00
10
10
00
00
00
01
11
00
10
10
11
10
01
01
00
10
10
00
00
01
10
00
00
00
00
10
00
10
00
11
10
00
10
11
10
00
11
00
10
11
10
00
01
10
00
11
10
10
11
10
00
00
10
10
01
10
10
01
00
10
10
00
10
11
01
11
00
00
00
00
10
01
11
10
10
01
00
01
10
00
10
10
00
01
10
10
10
10
10
11
00
01
10
00
00
11
10
11
00
00
10
00
00
11
10
10
01
10
00
01
01
10
01
00
11
01
01
11
10
00
00
00
00
10
10
00
00
10
00
10
01
00
00
01
11
11
10
11
01
00
11
01
00
10
10
00
01
10
11
00
10
10
10
10
10
00
00
10
00
11
10
01
00
00
10
01
10
10
10
00
11
10
10
10
00
00
00
01
00
00
10
01
11
00
00
11
00
00
01
10
10
01
00
01
01
10
01
00
00
11
10
01
00
11
01
11
00
10
10
00
10
10
01
00
01
10
10
00
11
10
11
00
00
10
01
00
10
10
00
01
00
00
00
10
10
10
10
00
11
00
10
00
10
10
00
00
11
10
11
10
01
11
00
11
11
10
00
01
10
10
00
01
10
01
11
01
00
10
00
11
11
00
10
10
00
00
10
00
00
10
11
00
00
10
00
10
00
11
00
00
10
00
11
10
00
11
10
01
00
00
10
10
00
11
00
00
10
00
10
10
00
01
00
11
00
10
10
10
01
01
00
10
01
00
01
10
11
00
00
10
00
10
10
10
01
00
00
10
10
11
00
01
01
10
01
11
11
01
00
10
10
10
00
10
10
00
00
11
11
00
10
00
00
00
00
10
00
11
00
00
10
00
00
10
00
01
10
10
11
11
10
10
00
00
11
00
01
10
10
00
01
11
00
01
11
00
00
01
10
10
10
00
00
01
10
01
01
10
01
10
00
10
10
00
11
01
00
00
10
10
11
00
00
00
11
10
10
10
11
11
10
10
00
00
01
01
10
11
10
10
10
10
00
00
11
10
10
01
00
01
00
01
01
10
11
10
10
11
10
00
00
01
11
00
00
10
10
00
00
00
10
00
00
00
00
00
11
10
00
10
01
10
00
11
01
11
10
00
10
01
00
10
01
10
10
00
10
00
00
00
10
10
10
00
01
00
10
10
01
10
01
00
11
00
10
11
10
11
00
10
10
11
11
01
10
01
00
00
11
11
11
10
10
11
00
00
00
11
10
01
00
10
10
10
10
01
00
10
10
01
00
00
01
10
01
00
11
10
00
00
10
11
00
00
01
10
00
00
10
01
01
10
11
00
10
10
10
00
01
00
10
00
11
00
01
10
10
00
01
01
10
10
01
11
00
11
10
00
00
10
11
00
11
10
01
01
01
01
01
00
00
00
01
01
10
10
10
00
01
00
00
11
10
10
11
10
01
00
00
01
10
10
10
10
00
01
11
11
10
00
01
10
11
11
00
01
10
00
01
11
00
01
10
01
00
10
10
10
11
00
00
10
00
00
11
10
11
00
10
00
01
00
10
10
00
11
10
00
01
10
10
00
01
11
00
10
10
01
10
01
00
01
10
01
10
11
10
00
00
10
01
00
10
00
00
11
01
10
10
11
01
10
10
01
10
10
10
10
00
01
01
00
11
11
10
10
10
10
01
01
11
10
01
00
00
00
10
11
00
00
00
11
10
00
10
01
01
00
00
10
11
01
00
10
10
10
00
00
11
01
10
11
10
01
10
10
00
00
00
10
10
01
01
00
01
00
01
00
00
01
00
11
10
00
10
10
10
00
11
11
10
00
01
00
00
10
10
00
11
01
10
10
10
00
00
10
11
10
00
00
10
10
10
00
00
00
10
00
10
10
01
10
10
00
11
00
01
00
11
11
00
10
11
00
00
10
10
00
01
10
00
11
00
00
10
10
00
10
10
00
11
01
10
01
00
11
00
11
10
01
10
00
10
10
10
10
10
01
11
00
00
00
00
01
11
10
10
10
00
00
11
10
01
10
00
00
10
11
00
11
10
10
00
11
11
01
01
10
10
00
01
10
10
00
00
00
11
00
01
00
10
10
10
00
11
11
01
10
10
01
00
11
11
01
00
00
10
01
11
11
11
10
01
00
10
11
01
01
01
10
11
01
00
10
00
00
10
10
00
11
10
10
10
01
10
00
00
00
10
00
10
11
00
00
01
10
00
11
10
10
10
00
11
10
11
01
00
11
10
00
00
10
11
10
00
00
00
00
11
00
10
00
10
00
10
10
01
10
11
01
01
01
01
01
00
01
10
10
10
10
10
00
10
00
01
00
11
10
10
01
11
10
01
01
10
10
00
11
01
00
01
11
11
00
01
11
01
10
10
01
00
11
11
00
00
10
10
10
01
00
01
10
11
10
10
00
01
00
11
01
00
10
10
00
00
00
10
01
11
00
00
00
10
10
10
10
10
01
11
00
11
11
10
00
10
00
10
10
01
00
01
00
10
10
01
01
01
10
11
10
01
00
00
00
11
11
00
10
00
00
01
10
11
01
10
01
00
10
01
10
10
01
10
00
11
00
00
00
01
11
00
00
10
00
00
01
00
11
01
00
10
00
00
10
11
01
01
00
01
01
10
11
00
00
11
01
01
00
11
10
01
10
00
11
10
01
01
10
00
10
01
01
11
10
10
10
01
00
10
11
00
00
01
10
00
10
11
00
10
10
10
00
00
10
10
10
00
11
10
01
00
10
10
00
10
10
10
11
10
01
00
00
00
10
10
00
10
10
01
00
10
01
00
10
10
01
01
01
00
11
00
10
11
01
01
11
00
11
00
10
10
00
10
00
00
10
10
01
10
10
00
10
11
01
01
10
01
10
00
10
10
00
00
01
11
00
01
00
00
10
10
01
11
00
00
10
00
10
00
10
00
00
11
01
01
10
10
10
10
10
10
11
00
00
10
00
10
10
11
01
00
10
10
10
10
10
10
00
00
00
10
00
10
11
11
11
10
01
00
00
10
10
00
00
11
10
11
10
00
00
10
00
00
11
10
10
00
00
10
00
01
10
10
10
00
00
00
10
10
00
10
01
00
01
11
11
00
10
01
10
10
01
00
10
00
00
10
10
10
00
01
01
01
10
10
11
01
01
10
10
00
11
00
00
10
11
00
00
00
00
10
00
10
10
01
00
00
00
10
11
01
00
10
11
00
01
00
10
11
11
00
01
11
11
10
01
00
10
10
00
10
00
01
01
01
10
11
01
00
10
00
11
00
00
10
01
00
11
01
00
00
11
10
11
11
01
10
10
01
10
10
00
00
01
10
10
10
01
00
10
00
10
00
00
11
00
00
10
10
01
10
00
00
00
00
00
10
10
10
00
01
00
00
10
11
00
00
00
10
10
01
10
11
00
00
00
01
10
01
10
10
00
11
01
10
01
01
10
00
10
10
11
00
01
11
10
11
10
00
10
10
10
00
11
10
00
10
11
11
10
00
01
10
01
00
00
10
10
00
10
00
01
11
01
10
11
10
10
00
00
11
10
01
00
10
10
00
11
00
11
10
10
10
01
01
10
01
00
10
10
10
01
10
10
01
10
11
00
10
10
00
00
10
11
00
00
01
11
11
00
00
00
00
01
10
11
11
11
00
10
10
00
01
11
00
00
10
10
00
00
10
10
01
01
11
11
11
10
11
00
11
00
00
00
10
00
01
11
10
01
01
01
01
10
10
00
00
10
01
00
11
11
10
10
01
01
11
11
01
01
11
10
00
01
10
11
00
00
11
00
01
10
00
01
00
10
11
10
10
10
10
00
00
01
00
01
10
10
01
10
11
00
10
11
10
01
10
00
00
10
00
00
10
10
01
10
10
10
10
10
10
00
11
00
10
11
00
00
00
00
10
01
00
11
10
01
00
00
01
10
00
11
10
10
01
00
00
00
10
00
10
10
11
11
00
01
10
10
01
10
00
11
10
01
00
01
10
01
01
10
11
00
00
00
11
11
01
00
11
10
00
10
00
10
10
10
00
10
00
00
10
10
10
11
10
11
10
00
00
00
00
11
10
00
00
01
10
10
01
10
01
11
11
01
11
01
00
00
00
01
10
01
00
10
01
10
01
01
00
10
00
00
10
00
00
10
10
01
10
00
00
10
01
00
01
01
10
10
10
00
10
10
00
00
00
00
10
10
10
10
00
10
10
01
00
00
10
00
00
10
10
10
00
01
10
00
10
10
10
10
11
00
00
10
10
01
10
00
00
10
10
01
01
01
11
11
10
11
11
10
01
00
11
10
10
00
10
10
00
00
10
11
01
01
11
10
10
10
00
01
10
11
00
11
11
01
10
10
10
01
00
00
00
11
11
10
00
10
00
11
01
11
00
00
11
10
11
00
01
11
00
10
10
11
01
00
10
10
00
10
00
10
00
11
11
01
11
11
10
01
01
00
11
11
00
00
00
00
10
10
01
10
00
00
11
10
10
01
10
10
11
01
11
10
01
11
10
10
00
00
10
00
00
00
11
10
00
10
10
10
01
10
10
10
00
11
00
00
10
00
00
10
01
00
00
00
00
10
10
01
01
11
10
10
11
00
01
00
10
00
00
10
10
11
00
00
00
01
01
01
10
10
01
10
01
10
10
00
11
00
10
11
00
11
00
01
10
00
00
00
00
10
00
00
00
11
10
11
00
00
11
11
10
11
10
00
10
00
01
10
01
01
00
00
00
10
11
11
01
01
00
10
11
00
00
10
10
01
01
10
10
01
00
11
11
00
00
10
01
10
00
10
00
11
11
00
10
10
10
01
10
10
10
10
00
11
00
00
00
00
10
11
00
00
10
01
00
10
00
10
10
00
00
11
00
00
00
00
00
01
10
10
10
10
00
00
01
00
01
10
00
10
01
11
00
01
00
01
00
10
10
01
10
10
00
00
10
11
10
01
10
01
11
00
10
10
10
00
00
10
00
00
10
00
10
01
10
11
11
10
00
01
11
00
00
11
01
10
00
01
00
10
00
10
01
01
01
01
00
11
11
10
11
11
01
00
00
10
10
00
01
10
11
11
00
00
00
10
10
01
00
00
10
10
11
11
10
01
10
00
00
11
00
01
11
11
00
00
00
10
10
00
00
01
11
11
00
10
10
11
01
01
11
11
00
01
10
00
00
10
10
00
00
11
10
00
10
00
10
10
10
01
10
01
00
01
10
11
11
01
00
10
11
01
00
11
01
00
10
00
10
10
10
00
00
00
10
11
00
10
00
10
00
11
01
00
01
10
11
01
01
00
10
10
01
00
00
10
11
11
00
00
00
00
10
11
00
00
00
00
11
00
11
11
10
01
10
11
01
10
10
01
00
11
10
01
00
00
10
01
00
01
01
10
00
01
10
11
11
11
10
10
01
00
00
11
00
00
00
00
10
00
00
11
00
11
00
00
10
00
00
01
10
10
10
01
11
10
10
11
00
11
10
10
11
01
01
11
10
00
10
00
01
00
10
10
10
01
10
10
01
01
11
10
10
10
00
10
01
00
11
11
10
00
01
01
10
11
00
01
00
10
11
01
00
11
11
01
00
00
10
00
01
11
10
01
01
10
00
00
10
10
10
00
10
01
00
10
10
00
01
01
00
10
10
00
00
10
01
00
00
10
10
00
11
10
11
00
01
10
01
10
10
10
00
11
10
00
11
10
00
00
00
00
00
10
11
00
01
01
10
10
11
11
00
00
10
11
00
00
10
01
00
11
00
00
10
00
10
00
10
10
10
00
01
10
11
10
00
01
10
11
10
10
00
00
10
00
01
01
11
10
10
10
10
00
00
00
10
10
10
00
10
11
10
01
10
10
10
00
10
00
01
10
00
01
00
00
00
01
11
01
11
10
11
11
10
10
10
00
01
11
11
11
11
00
00
01
11
10
01
10
00
01
10
11
11
10
00
11
11
10
10
00
10
10
10
01
01
01
00
11
00
10
11
10
10
01
10
00
00
00
00
00
10
11
10
10
01
10
11
11
01
11
10
01
11
00
10
11
01
00
10
10
10
00
00
10
00
01
11
00
10
11
10
00
01
01
10
01
00
10
11
01
10
11
00
00
01
10
01
01
00
00
00
01
10
01
00
10
00
01
11
10
10
01
00
01
01
00
10
10
10
00
00
10
10
10
01
10
00
10
01
11
00
11
10
00
00
10
00
00
10
10
11
00
00
01
10
10
01
10
00
01
00
00
11
11
10
11
11
00
11
10
00
10
11
00
01
01
10
00
01
10
01
00
11
00
00
10
01
10
00
10
10
00
11
10
00
10
10
10
11
00
00
00
00
10
00
11
00
10
01
10
10
01
00
00
10
11
01
00
00
10
10
10
10
00
00
10
10
10
10
10
10
10
00
00
00
00
00
10
11
10
10
10
10
01
00
10
01
10
00
00
11
10
11
00
10
10
10
10
00
10
01
11
11
11
11
11
00
01
00
10
00
10
10
00
10
00
00
00
10
11
11
11
00
10
01
10
10
10
00
00
01
11
10
01
00
01
00
01
10
01
00
10
01
00
10
00
11
10
10
10
00
11
11
00
00
11
10
00
00
01
10
01
10
10
01
01
10
00
11
01
10
10
00
00
00
00
10
10
00
10
01
10
11
00
01
10
00
11
00
00
10
11
01
00
10
00
00
01
00
10
10
00
11
00
01
10
00
00
00
11
00
01
11
01
10
11
10
00
11
10
10
00
10
10
00
01
00
00
10
00
10
00
00
11
00
00
10
11
00
00
10
00
00
10
00
10
11
01
10
10
10
00
00
00
00
01
11
01
10
10
01
10
11
00
00
10
00
01
00
00
10
01
11
00
00
01
00
10
10
01
00
11
11
10
11
11
01
11
01
01
10
01
01
11
01
01
11
10
10
10
01
01
10
10
00
00
00
10
00
11
01
01
00
00
10
11
00
11
10
10
00
00
11
00
01
10
00
00
00
10
11
10
01
10
11
11
00
10
11
00
00
10
11
00
01
10
11
11
00
11
00
01
00
10
10
00
10
11
10
00
00
11
00
10
10
01
00
11
00
11
00
10
11
00
10
11
00
11
11
10
00
00
10
01
10
11
00
11
10
01
10
00
10
10
01
01
10
11
10
10
11
10
00
00
11
10
00
11
10
10
10
10
01
00
01
00
00
10
10
00
11
10
00
00
11
11
10
00
01
10
11
10
11
00
10
00
10
01
11
00
00
00
10
00
10
11
01
00
00
10
00
00
10
10
10
00
10
00
10
11
11
01
01
00
10
10
00
11
10
01
01
10
11
00
11
01
01
10
00
00
11
01
01
10
00
00
01
01
01
01
11
10
00
01
10
10
11
00
00
11
11
00
00
01
10
00
00
10
11
00
11
10
10
10
10
10
00
10
01
10
00
00
11
10
10
10
10
11
01
11
01
01
01
00
11
00
00
00
10
11
10
11
00
10
01
10
00
10
00
00
00
01
10
11
00
11
01
01
01
01
00
00
00
11
10
00
00
10
00
10
00
00
11
10
01
11
11
00
11
00
11
00
00
11
11
11
10
10
10
10
10
01
10
00
11
10
00
10
11
10
01
10
00
00
11
00
00
10
10
00
10
01
10
00
10
10
10
10
00
11
00
00
00
10
10
01
01
10
00
01
01
10
01
00
10
00
10
00
10
10
00
10
01
10
10
00
11
10
00
00
11
10
10
00
01
01
00
10
00
10
11
00
00
10
10
00
01
01
00
11
00
00
11
01
10
00
00
10
11
00
00
10
01
10
00
00
00
10
10
11
00
10
11
11
10
11
00
00
00
00
01
11
10
11
00
00
00
00
11
11
10
01
10
00
00
00
01
00
10
10
10
00
11
01
00
01
11
10
00
10
01
01
00
11
00
10
01
10
00
10
00
00
10
10
01
00
10
01
01
00
00
00
10
01
11
11
10
00
01
10
00
00
10
11
01
10
01
00
10
01
00
00
10
01
01
10
00
10
11
00
00
10
10
10
00
10
00
11
00
01
11
01
00
00
10
11
00
00
01
11
11
10
01
10
11
00
11
10
00
00
00
11
10
10
01
10
10
01
01
01
10
10
10
00
00
11
00
01
10
11
10
11
00
10
11
00
10
10
00
00
00
10
01
10
10
00
00
01
10
01
01
01
00
10
00
01
01
10
11
00
00
11
11
00
00
10
10
01
00
10
10
00
00
00
01
10
00
00
10
00
10
11
10
01
10
01
01
10
10
10
01
00
01
00
10
00
00
10
10
00
00
10
01
01
11
11
11
01
00
00
01
00
11
11
00
00
10
00
10
00
01
01
11
01
10
01
01
10
00
10
10
10
00
00
11
11
01
00
10
10
10
00
01
10
00
00
10
00
10
01
10
00
00
11
00
00
00
00
11
11
01
00
00
10
00
00
10
10
00
11
00
11
11
00
11
11
10
00
11
10
00
10
11
00
11
10
10
10
11
01
01
01
10
00
00
10
00
00
11
10
10
00
00
10
11
10
00
00
01
00
00
00
10
00
10
10
00
10
10
11
10
11
10
10
10
01
01
10
10
01
01
10
10
11
01
01
11
10
01
01
10
10
00
01
11
11
00
01
11
01
00
00
11
10
00
01
11
10
01
00
00
11
10
00
00
10
10
00
00
01
10
11
11
11
01
10
10
10
11
00
00
01
11
11
10
11
00
00
10
00
01
11
00
10
11
00
10
11
00
01
10
11
00
00
00
10
00
01
01
11
10
00
00
11
11
01
00
10
00
00
10
10
10
00
11
10
10
00
01
00
00
11
10
00
10
01
10
00
10
10
00
00
01
11
10
10
00
10
00
11
11
01
00
11
11
01
11
10
00
11
10
00
10
11
01
00
10
10
00
10
10
11
01
00
11
10
01
11
11
00
01
00
00
11
01
10
10
10
00
10
11
10
00
00
10
00
11
11
01
10
10
00
00
10
10
10
00
01
10
00
10
00
10
00
10
11
00
01
00
01
10
00
00
10
10
00
10
00
00
01
10
10
00
10
10
10
00
10
11
10
01
00
01
00
10
10
10
00
00
10
10
10
01
00
10
01
10
01
01
11
11
01
10
11
00
00
00
11
10
00
10
11
11
11
10
11
00
00
10
00
00
11
01
00
11
10
00
10
00
11
01
10
00
11
11
10
10
00
11
10
00
00
10
10
10
11
00
11
10
10
10
10
10
00
11
10
00
01
00
10
00
01
10
00
11
11
01
00
11
10
10
10
01
10
11
01
00
11
00
00
11
01
11
01
00
10
11
00
01
00
11
01
01
11
10
10
00
10
10
10
01
00
10
01
11
00
00
10
01
11
10
01
10
10
10
01
00
11
10
10
10
00
00
11
00
01
10
10
10
11
01
11
00
10
10
01
10
11
01
10
00
00
10
00
01
00
10
11
10
10
10
11
00
00
10
11
00
00
10
10
00
10
10
00
10
10
01
00
11
10
10
00
00
10
01
00
11
00
00
10
10
00
00
00
11
10
10
00
00
01
11
10
00
10
00
00
00
00
10
10
11
00
00
01
01
01
10
01
11
01
00
01
10
11
01
01
01
10
01
00
00
10
10
01
00
10
10
11
11
01
00
01
10
10
01
11
10
10
00
00
01
00
00
11
11
10
10
01
10
10
10
10
00
00
10
00
10
11
11
11
01
00
00
01
00
11
10
01
00
00
01
10
01
01
11
10
10
10
00
11
11
00
00
11
10
00
00
10
10
10
10
10
01
01
11
11
10
00
00
01
11
10
01
00
00
10
10
10
01
10
10
00
10
01
00
00
11
01
11
01
00
10
00
00
10
00
11
11
01
00
00
00
00
11
10
00
01
11
00
11
00
10
11
01
00
10
11
10
00
00
00
00
10
10
10
10
11
11
11
10
11
01
11
01
00
10
01
01
11
11
01
00
01
00
10
10
10
00
01
10
10
00
11
11
11
10
11
01
11
00
11
00
00
00
10
11
01
00
11
10
00
00
10
10
00
00
00
00
11
10
00
00
10
10
01
00
00
01
10
00
11
00
11
11
00
00
00
11
00
10
10
11
10
11
10
01
00
01
00
10
10
10
11
00
00
00
10
10
00
11
00
10
10
11
10
10
01
01
11
00
00
10
00
00
00
01
11
01
10
00
10
10
01
10
11
01
00
00
10
10
10
01
11
10
01
00
01
01
10
11
00
01
10
11
00
00
01
11
00
00
11
10
10
10
10
00
00
11
10
00
10
01
00
11
11
01
10
11
01
10
10
00
10
10
00
10
00
00
10
10
10
11
01
10
01
11
11
10
01
00
11
10
00
00
00
10
11
10
01
10
00
00
00
10
00
00
10
00
10
10
10
10
01
00
01
10
11
10
11
00
01
01
00
01
10
01
00
00
10
10
01
01
11
10
01
01
00
11
00
00
10
11
10
10
00
01
11
10
10
00
11
10
00
10
10
00
11
10
00
00
00
01
10
11
10
01
10
11
00
01
00
00
10
10
10
01
01
10
00
11
10
10
00
00
10
00
00
00
10
00
11
10
11
00
01
00
10
01
10
11
00
10
10
00
10
00
10
11
10
10
10
10
00
00
11
00
01
10
01
00
01
11
11
00
11
11
00
10
10
00
00
10
11
10
01
00
00
10
00
00
10
10
01
00
10
01
01
11
11
00
11
00
01
01
10
10
00
10
10
11
10
10
11
01
01
00
00
01
10
10
00
10
11
11
10
10
01
00
11
00
10
01
00
01
11
10
00
01
00
01
10
11
11
10
00
00
11
10
01
10
10
01
00
10
10
10
00
01
10
01
10
10
10
10
11
00
01
10
00
00
10
00
01
00
10
10
00
00
10
11
00
10
10
00
10
10
11
10
00
10
11
00
00
10
10
00
00
00
10
00
01
10
01
00
01
10
11
11
00
11
10
01
00
00
10
10
00
01
10
01
10
10
00
01
10
10
00
00
11
00
01
00
10
10
10
10
01
01
10
00
11
10
00
11
00
00
00
01
00
10
01
10
11
00
10
10
00
11
11
10
01
10
00
00
10
00
01
00
11
11
10
10
00
00
11
10
00
10
11
11
11
10
11
00
11
00
11
00
00
10
10
10
11
10
01
00
00
00
10
01
00
01
10
10
00
10
00
01
10
00
11
11
10
01
10
10
10
01
10
00
11
10
11
11
01
10
11
01
10
10
01
01
10
00
00
00
11
10
10
11
01
10
11
11
00
00
10
10
10
10
11
00
11
10
00
01
10
01
11
01
00
11
10
00
10
10
00
00
00
10
00
00
01
10
10
00
00
10
00
11
10
01
01
10
00
01
10
11
00
11
10
00
01
00
00
00
11
10
10
01
01
00
11
01
00
00
10
01
00
11
10
01
10
01
10
01
10
10
10
01
00
11
10
01
00
10
00
01
11
10
00
00
10
00
10
10
10
00
00
11
00
00
01
11
10
10
10
00
11
01
01
10
00
10
01
10
10
00
11
00
10
00
01
11
00
01
11
11
11
10
00
01
10
10
01
00
10
01
00
10
10
01
10
11
10
01
00
00
11
11
00
11
10
00
10
00
00
10
00
00
00
00
10
10
11
00
00
00
11
00
01
10
11
10
01
10
11
10
00
01
10
00
00
00
11
10
00
10
10
11
10
01
00
10
01
11
10
00
10
10
11
00
01
00
10
00
00
11
10
01
00
00
00
11
00
10
10
00
00
11
00
00
00
10
11
00
11
10
00
01
11
01
10
11
01
10
11
11
10
01
01
10
00
10
01
10
00
00
11
00
00
01
10
11
11
00
00
10
00
11
10
10
10
10
00
10
10
00
01
00
00
10
00
10
01
10
11
10
00
00
00
10
01
01
00
11
00
10
01
10
11
00
00
10
00
10
10
00
01
00
11
11
00
10
00
01
10
10
01
10
01
01
10
01
01
10
10
10
00
01
10
10
00
10
01
11
10
00
10
11
01
00
11
10
10
10
10
00
01
10
11
00
01
00
00
01
10
10
01
00
00
10
10
00
10
10
11
10
10
01
01
00
00
00
10
01
01
10
00
10
01
10
11
10
00
00
00
01
00
10
11
00
00
00
10
00
11
10
01
01
10
01
00
01
10
10
10
10
01
01
11
11
10
10
10
01
11
01
01
00
11
10
10
00
00
10
10
00
01
11
11
10
00
10
10
00
00
00
10
01
00
00
01
10
00
01
00
10
00
00
10
00
11
10
00
01
10
00
10
10
01
10
00
10
11
01
10
00
00
11
00
00
10
10
10
00
00
11
11
10
01
10
10
11
01
01
00
00
11
10
10
01
10
11
10
10
00
11
00
00
00
10
00
01
11
01
00
11
01
10
10
01
10
11
00
11
00
10
10
00
01
10
11
01
00
11
00
10
00
00
10
10
11
11
10
00
01
11
00
00
00
00
00
11
00
10
10
00
11
10
10
00
01
10
11
10
01
00
00
10
10
10
00
10
10
00
01
00
10
00
00
11
10
10
01
11
10
00
10
00
00
01
10
00
00
11
01
00
01
10
01
10
00
00
10
00
00
10
00
10
00
10
11
11
10
00
00
01
01
00
10
10
11
11
01
00
11
10
10
00
00
10
11
00
11
10
00
00
11
10
01
11
10
10
01
00
11
10
00
00
11
10
00
10
11
00
01
01
00
00
00
00
10
00
00
00
00
11
11
01
00
00
00
10
11
10
10
01
00
10
00
00
01
10
00
00
00
00
11
00
01
00
10
11
11
10
11
10
00
01
00
01
10
01
11
01
00
10
10
00
10
10
00
00
01
11
11
00
11
10
01
10
00
11
10
00
01
10
10
11
10
11
11
11
01
00
11
10
01
10
00
00
10
10
10
10
00
01
10
00
00
10
01
00
10
00
10
10
11
10
01
00
10
00
00
00
00
10
10
10
00
11
00
00
11
11
00
10
00
01
10
00
01
00
00
10
10
10
00
00
11
10
00
10
01
00
00
10
10
00
00
10
11
00
10
11
01
10
00
00
10
10
00
10
00
10
10
00
00
10
01
00
10
10
00
00
10
10
00
10
10
00
11
01
00
00
10
11
00
10
10
11
00
01
01
11
00
10
01
00
00
10
00
00
01
10
10
10
10
11
10
10
00
00
10
10
11
11
00
00
00
00
00
10
11
00
00
00
10
01
00
10
00
10
10
01
10
11
01
11
00
10
10
00
01
00
10
10
00
10
11
00
10
10
01
00
00
01
00
11
01
11
10
10
01
01
10
10
01
10
11
11
11
01
01
10
10
11
00
11
00
10
10
10
00
11
10
11
01
00
00
00
01
10
00
00
00
00
10
00
11
11
11
00
00
00
00
10
10
00
11
10
11
00
01
00
10
10
00
01
10
11
00
10
11
11
11
11
00
00
00
10
10
10
00
01
10
10
10
10
11
01
01
00
01
00
10
00
11
10
01
10
10
10
00
00
11
10
01
00
10
10
10
11
10
00
00
00
11
01
11
11
00
01
00
00
10
10
00
00
10
01
00
10
10
00
00
10
00
00
11
00
00
00
10
01
10
10
01
01
01
00
00
10
10
11
00
11
11
10
00
00
10
11
00
00
10
10
10
11
01
10
01
01
11
00
01
00
10
11
01
10
10
00
00
01
11
11
10
10
10
11
01
01
10
11
01
00
10
00
01
10
10
00
01
10
10
01
00
10
11
00
00
00
00
01
10
00
01
10
10
11
10
00
00
01
10
00
00
10
00
00
10
11
00
00
11
00
11
11
00
00
11
01
10
00
00
01
11
11
10
01
10
01
00
01
01
10
10
10
00
01
10
10
10
10
00
00
00
10
01
10
00
01
10
10
11
10
11
00
00
10
01
00
10
00
00
11
10
00
00
10
00
00
11
10
10
11
10
00
01
01
00
00
10
10
00
10
10
00
11
10
10
11
10
00
11
10
00
10
10
00
00
01
00
10
10
01
10
10
10
11
10
00
00
00
00
11
10
11
10
10
00
11
10
01
01
10
10
10
01
10
11
00
10
10
00
10
11
10
00
10
00
00
10
10
01
00
11
10
00
00
01
00
00
01
11
10
00
10
10
01
00
01
10
00
00
11
00
01
01
01
10
11
00
00
00
11
11
10
11
01
01
00
10
10
00
00
11
11
00
00
10
11
01
00
01
11
10
00
10
00
00
10
11
01
01
00
10
10
01
10
00
01
10
00
10
11
01
00
10
10
01
11
00
10
10
10
10
00
00
00
00
11
00
00
01
01
10
10
10
11
10
10
00
00
00
10
01
10
11
10
01
00
10
11
00
01
01
10
10
00
11
00
00
10
01
00
00
00
00
10
00
01
10
10
11
00
10
10
00
01
11
10
11
00
11
10
01
00
11
00
00
10
01
01
10
01
00
00
01
10
10
00
11
10
11
10
01
00
11
10
11
10
01
10
11
00
01
01
10
10
10
01
01
01
01
10
01
11
00
00
11
11
11
01
00
11
00
00
10
10
11
00
10
11
10
01
00
10
01
11
00
00
00
10
01
00
00
00
00
00
00
11
11
01
00
01
10
00
11
00
00
00
00
10
10
10
01
11
10
10
01
10
00
10
10
00
01
10
11
00
00
10
00
10
10
10
00
00
00
00
11
10
00
00
00
11
01
10
10
11
11
10
01
00
00
10
11
10
10
00
01
00
10
11
00
01
11
00
10
00
10
00
00
10
10
10
10
01
01
10
10
10
00
11
01
00
01
10
00
00
10
01
10
00
10
10
00
01
10
11
11
00
10
11
00
00
11
10
10
10
00
00
10
10
01
00
01
10
10
10
11
00
11
11
00
01
10
01
10
10
00
11
00
10
10
00
10
11
00
01
10
01
01
00
00
10
11
11
01
11
00
00
10
10
10
11
11
00
10
11
10
11
10
00
01
00
10
01
00
10
10
01
00
10
10
01
00
10
00
10
10
00
10
10
10
11
10
10
00
00
00
10
00
00
10
01
01
01
00
01
10
00
10
10
00
00
11
10
10
10
00
00
10
01
11
11
10
00
00
10
00
01
01
11
00
00
10
10
00
00
11
10
10
10
01
11
11
01
10
10
01
00
10
11
00
01
11
01
10
10
00
00
00
10
10
01
00
00
11
11
00
00
11
10
10
11
00
11
01
11
11
00
10
11
01
11
11
10
00
01
10
00
11
01
01
01
11
10
01
10
00
10
11
00
01
01
00
00
01
01
11
10
00
00
10
10
00
10
10
00
00
10
10
11
01
00
01
10
00
10
00
00
00
01
10
01
10
10
10
01
00
01
01
10
10
10
00
00
11
10
10
11
11
11
00
00
00
10
10
00
00
10
01
00
10
00
00
11
11
10
10
01
10
01
00
10
00
00
00
11
10
01
00
11
10
10
10
00
11
10
10
00
10
11
00
10
10
01
10
10
10
00
01
00
00
10
11
00
00
10
01
00
00
10
10
01
00
00
00
10
01
10
10
10
10
10
10
01
00
01
00
10
01
11
10
00
00
01
11
00
01
00
10
10
11
00
11
10
00
10
00
10
10
10
10
10
10
00
00
10
11
10
01
00
00
00
11
01
00
11
10
10
00
00
10
10
00
01
00
11
10
10
10
11
10
00
10
01
00
11
00
01
01
11
10
00
00
11
00
01
00
10
00
00
11
11
10
00
01
00
10
11
10
00
00
00
10
01
11
00
00
10
01
00
11
10
11
11
00
00
10
01
01
10
10
00
00
01
00
11
11
00
11
00
00
10
00
01
11
01
00
10
10
11
11
10
01
00
10
10
00
01
01
01
11
10
11
00
10
10
10
00
00
00
10
00
10
11
10
01
10
00
10
11
10
00
10
10
00
10
10
00
01
10
00
11
10
01
01
00
00
01
10
11
10
00
01
10
10
00
00
11
11
10
10
01
01
10
10
01
10
00
10
10
01
00
11
00
10
01
11
10
01
10
10
10
11
00
00
10
10
10
00
01
10
00
00
10
10
00
01
00
10
11
11
11
11
10
00
00
00
11
11
10
00
11
11
10
00
10
10
10
00
11
01
00
11
10
11
11
10
00
01
01
10
10
10
10
10
01
10
00
10
00
00
00
11
10
00
01
00
01
10
11
00
00
01
10
01
10
10
01
10
11
01
10
10
00
01
11
10
00
00
10
11
10
11
10
00
01
00
01
10
10
11
10
10
10
00
01
11
10
00
00
11
10
11
00
10
10
00
10
10
10
00
01
11
00
10
11
11
10
00
01
10
00
11
10
10
00
00
11
10
10
00
11
10
10
10
01
01
00
00
00
00
11
11
10
01
01
11
10
01
00
00
00
10
00
00
11
10
01
00
10
00
00
10
11
01
00
00
10
10
01
11
00
11
10
00
10
10
00
00
00
11
10
11
00
11
01
00
01
10
01
00
00
10
11
10
11
10
00
00
10
10
00
00
10
00
00
11
11
10
01
10
01
00
00
10
10
00
11
10
00
11
00
00
10
00
10
00
00
10
00
10
00
11
00
00
00
00
00
00
00
10
11
10
00
10
00
10
10
10
00
11
01
00
00
01
10
00
10
10
01
00
11
10
01
10
10
01
01
01
11
00
00
11
10
11
11
01
00
00
10
10
11
00
10
11
01
11
10
10
10
11
11
11
00
10
10
10
00
00
11
10
10
00
00
01
00
10
11
10
10
10
10
01
11
00
01
11
00
01
10
00
00
00
10
11
10
00
10
00
00
10
11
10
01
10
10
00
00
10
10
11
00
01
11
11
00
10
00
10
11
01
10
11
00
00
10
00
11
01
00
10
00
00
11
00
01
10
11
01
10
01
00
10
11
11
00
01
00
10
10
00
10
11
00
00
00
00
00
11
11
10
00
10
11
00
11
01
10
10
00
10
10
00
00
00
00
00
00
11
00
11
10
10
10
00
11
01
01
10
10
00
00
01
10
11
00
00
00
00
10
10
11
01
11
00
00
11
10
00
00
00
01
11
00
01
00
10
11
00
10
01
00
10
00
00
10
10
10
00
00
11
00
11
11
01
11
00
00
01
10
11
00
10
11
01
01
10
00
00
10
00
00
00
10
10
10
00
00
01
10
01
10
10
10
00
10
00
00
11
10
01
01
00
00
00
00
11
11
01
00
10
00
00
11
10
00
10
11
10
00
10
10
10
10
10
11
00
00
11
01
10
10
10
11
00
00
00
10
10
11
11
01
00
11
01
10
10
11
10
01
00
00
11
10
00
10
10
10
01
01
11
10
11
00
10
01
11
10
00
10
10
00
00
11
00
00
00
10
10
10
10
11
10
00
11
00
10
10
01
00
10
00
00
10
10
00
10
10
00
00
01
10
00
00
11
10
01
11
11
00
00
11
10
01
00
00
10
10
10
11
00
01
10
00
11
11
11
00
00
11
10
10
10
00
11
10
01
00
10
00
00
10
10
11
01
01
10
00
10
01
11
01
00
10
01
10
11
00
01
10
00
10
01
01
11
10
00
10
10
00
00
01
10
10
01
00
01
11
10
00
10
10
10
01
00
11
10
10
00
01
11
00
10
10
00
10
11
11
00
00
10
01
10
10
00
01
10
01
10
01
10
11
10
01
00
10
10
10
11
01
00
11
00
01
10
10
10
00
01
10
00
10
10
00
10
00
00
10
10
10
00
10
11
00
11
00
10
10
01
00
00
11
01
01
10
00
00
00
00
11
10
01
10
10
11
11
00
00
00
11
10
01
01
10
00
00
00
00
01
10
10
00
00
10
11
11
00
00
00
10
11
00
00
10
11
10
11
10
00
10
10
10
00
10
10
00
10
01
11
00
01
10
11
00
10
00
00
00
10
01
11
11
10
11
00
00
10
10
00
10
10
00
10
00
10
10
00
11
10
00
10
10
00
10
10
00
10
11
01
00
10
11
10
10
00
00
00
10
10
10
11
00
10
00
00
00
10
01
00
11
01
01
10
01
00
00
10
00
11
11
01
10
10
10
11
10
00
10
10
01
00
01
11
10
01
11
11
00
10
10
00
00
10
10
00
00
10
10
01
10
10
00
01
01
00
10
10
00
00
10
00
10
00
11
00
01
00
00
01
01
01
10
10
00
10
10
11
00
00
01
10
10
00
10
01
10
11
01
10
10
10
00
10
10
00
00
01
01
10
10
00
10
00
10
10
00
00
10
10
10
00
00
11
10
11
10
11
00
00
10
00
00
10
10
10
01
01
01
00
01
00
10
00
10
10
10
10
00
00
01
11
11
11
00
10
10
10
00
00
10
00
01
10
10
00
10
00
00
00
00
10
01
01
10
01
00
00
01
00
10
10
10
00
10
00
00
10
00
11
11
11
11
01
10
10
11
00
10
00
01
10
11
10
11
00
01
01
10
01
00
00
00
10
11
00
10
10
11
00
01
10
10
00
00
10
01
00
10
10
00
10
00
11
11
10
01
11
10
00
00
11
00
11
10
10
00
01
11
10
11
00
10
10
01
10
10
10
00
00
10
01
00
11
11
10
01
10
10
00
11
10
10
10
10
11
01
01
00
11
00
00
10
01
00
11
01
01
10
01
10
10
11
00
11
10
00
00
01
00
11
10
11
10
01
10
10
10
10
01
00
01
10
10
00
00
11
00
00
10
01
11
11
10
10
10
00
11
11
10
00
10
11
00
11
10
11
00
01
00
10
10
00
11
01
01
11
01
00
01
11
11
10
00
01
00
11
10
00
00
00
10
11
00
00
10
00
11
10
00
00
11
10
00
00
10
11
00
01
00
11
01
10
10
01
00
10
10
00
11
11
00
01
11
00
01
00
10
00
01
11
00
00
10
10
00
01
10
01
01
10
00
10
11
01
00
10
11
11
10
01
11
01
10
01
00
10
10
11
11
00
00
00
10
10
10
01
10
11
11
01
00
11
01
10
00
00
10
10
00
10
00
10
10
00
00
11
01
00
10
00
11
00
10
10
01
00
10
00
10
10
00
00
11
00
00
00
00
00
00
00
00
11
10
10
10
00
00
11
11
00
10
10
00
00
10
10
10
00
00
01
10
10
01
00
01
00
00
10
11
00
00
11
11
10
01
00
00
10
00
10
11
01
10
00
00
00
11
11
10
00
00
10
11
00
01
10
00
10
00
11
10
10
00
10
00
11
01
00
10
10
00
00
11
10
11
10
01
00
10
00
10
10
01
11
11
10
11
10
11
00
00
10
01
00
01
01
10
00
00
00
11
10
01
10
11
00
10
10
00
11
10
01
00
11
10
01
01
10
11
00
10
11
10
00
00
10
10
00
01
11
00
10
11
00
01
10
10
10
10
00
01
00
11
10
00
10
10
11
10
11
00
00
10
10
11
01
10
11
01
10
00
00
10
01
00
10
00
10
01
00
00
00
00
10
10
10
10
00
11
10
10
11
00
10
00
01
11
10
10
10
10
10
10
11
00
01
10
00
11
00
00
10
10
01
01
10
00
00
11
00
00
01
10
10
00
00
10
10
00
10
10
01
00
10
01
01
11
00
11
00
11
00
11
00
11
11
00
00
01
10
00
10
01
00
11
10
10
11
10
00
10
01
00
10
00
10
11
00
10
01
10
10
00
11
10
10
11
10
10
10
01
00
00
01
10
11
11
00
11
00
00
00
01
11
00
00
10
00
00
11
10
00
01
11
11
11
10
10
11
00
11
00
01
10
10
01
00
10
00
10
10
00
01
00
11
10
10
00
00
10
01
11
10
11
00
01
00
00
10
10
01
10
10
00
01
00
10
11
00
11
10
01
01
00
00
10
10
01
00
10
00
00
11
01
11
00
00
00
00
11
11
00
00
00
10
10
01
00
01
10
10
10
01
00
10
10
01
11
10
00
01
00
11
00
10
10
10
11
00
00
10
10
01
11
00
01
01
00
00
10
00
11
10
00
00
00
10
00
00
10
10
00
01
11
11
10
00
01
00
10
11
10
00
01
00
10
11
00
00
00
00
00
10
10
01
10
10
11
11
01
00
10
10
00
10
00
10
00
11
10
01
01
01
10
10
00
10
10
11
10
00
01
10
11
10
01
00
01
01
10
01
10
11
01
00
00
11
10
00
10
10
00
00
01
10
11
00
00
01
00
10
10
00
10
11
10
10
00
10
10
01
10
11
10
01
01
00
10
10
11
11
00
01
00
00
10
00
10
10
01
00
11
01
11
10
11
11
10
00
01
10
10
00
01
11
00
11
11
01
00
11
11
11
00
00
01
00
10
10
00
01
10
10
00
10
10
11
10
00
10
00
10
10
00
10
10
01
00
01
00
10
00
01
00
11
11
00
01
00
11
10
10
00
10
11
00
01
10
10
01
00
00
01
01
10
11
00
01
00
10
11
10
00
10
01
01
00
00
10
10
00
00
00
11
10
01
00
10
00
00
00
10
11
00
11
10
11
00
01
10
00
10
11
00
01
00
01
10
00
10
11
00
10
10
00
01
00
01
10
10
00
00
10
00
10
01
00
10
10
11
00
11
00
10
10
00
10
00
01
10
10
11
01
01
00
10
10
01
10
01
11
00
00
01
11
10
10
00
00
11
10
10
00
00
10
00
00
10
01
00
00
00
00
00
10
10
00
00
11
11
10
11
10
10
10
00
10
10
10
10
10
10
01
00
10
11
00
10
00
01
00
00
01
00
01
01
00
11
11
10
00
01
10
00
00
10
11
00
00
00
01
00
00
10
10
11
11
01
00
11
11
10
01
00
10
01
10
10
10
10
10
00
00
11
10
00
10
10
00
10
10
01
11
01
01
01
11
01
00
01
11
01
10
10
00
00
10
11
01
00
01
00
00
00
00
10
00
10
10
10
00
10
11
00
01
00
00
00
10
10
11
00
00
01
10
00
00
10
11
11
10
01
10
00
01
11
01
10
10
00
00
00
10
00
10
01
00
00
00
10
10
11
01
01
00
01
00
00
11
10
10
00
00
10
11
00
10
00
10
10
10
00
00
11
00
10
10
00
10
11
10
01
00
10
00
10
10
10
00
10
10
00
00
00
10
00
00
11
11
11
00
11
00
01
10
10
00
00
00
10
10
01
00
11
10
01
11
01
00
01
00
11
10
00
00
10
01
01
10
11
10
11
01
01
00
10
00
10
01
10
10
01
01
10
11
11
00
00
11
11
01
00
01
11
01
00
11
10
10
00
10
10
00
01
11
00
01
01
00
11
00
01
10
01
10
10
10
00
10
11
01
00
11
11
11
10
11
00
10
10
00
00
01
00
11
11
10
00
01
11
10
00
00
10
01
00
11
00
10
00
01
00
00
10
10
10
00
00
11
11
00
01
00
01
10
10
10
10
01
10
10
00
00
11
10
00
00
00
00
00
00
00
10
11
10
11
10
00
10
11
10
11
01
10
00
00
11
00
00
10
10
10
10
00
00
00
00
01
00
00
00
00
11
00
01
00
00
11
01
10
01
01
01
10
10
00
10
10
01
01
10
00
10
10
00
01
10
10
01
00
01
01
01
10
00
11
11
10
10
01
00
11
00
00
11
10
00
01
01
10
10
01
00
00
01
00
00
10
10
10
01
00
11
10
00
10
11
10
00
00
10
10
10
10
00
00
00
00
00
10
11
01
10
01
00
01
11
00
11
01
00
00
10
10
00
10
00
10
10
00
10
00
10
00
00
11
10
10
10
11
00
11
00
00
10
10
00
01
00
10
11
10
00
10
00
00
11
10
01
10
10
10
10
00
10
10
00
11
11
11
00
00
00
11
01
00
00
10
00
10
00
10
10
00
00
01
00
00
01
10
00
11
00
11
01
00
11
10
01
10
10
00
01
00
11
00
00
10
00
10
10
00
00
11
10
10
01
00
10
00
10
11
10
00
11
10
10
10
00
01
10
10
00
00
10
00
10
00
01
01
01
01
01
00
11
10
00
11
10
11
01
10
11
11
01
01
10
11
00
00
10
10
01
11
01
10
00
10
11
00
11
10
00
00
00
01
00
10
10
00
00
01
00
00
10
10
10
00
10
00
11
10
11
11
01
11
10
11
10
00
00
00
11
01
01
10
10
00
10
10
11
00
00
11
00
11
10
00
00
11
10
01
00
11
10
01
01
10
00
10
01
11
11
00
00
00
11
01
00
01
10
11
10
00
00
00
00
11
01
01
10
10
00
01
00
10
10
10
00
11
10
01
00
00
10
10
00
11
10
01
11
00
00
11
10
00
10
00
10
10
00
10
00
01
10
11
00
11
00
11
00
00
10
10
00
01
00
00
10
00
01
01
10
10
01
00
11
00
11
11
00
11
11
11
01
01
00
10
11
00
01
10
10
00
10
00
01
10
11
00
00
11
01
01
11
10
00
10
00
00
01
10
10
01
01
10
00
10
00
01
01
01
00
01
10
01
10
10
10
10
01
00
10
11
00
00
10
00
01
10
00
10
10
10
00
10
10
10
00
00
00
00
10
00
10
00
01
00
10
01
00
00
00
00
11
00
10
10
00
10
00
01
00
10
10
10
11
00
10
11
00
00
11
00
10
10
00
11
00
10
01
00
11
10
11
00
01
00
10
11
11
01
00
00
10
10
10
00
11
00
11
00
00
11
10
01
11
11
00
00
01
00
00
00
10
10
00
00
10
00
10
11
01
10
10
10
00
01
01
11
10
01
01
00
10
00
00
10
10
01
00
11
11
01
10
10
00
00
00
00
10
01
10
11
10
01
00
11
00
10
00
10
10
01
00
11
00
00
10
00
10
01
00
10
01
10
10
00
01
10
00
00
11
11
10
00
10
11
10
10
00
01
10
01
10
10
00
00
01
10
00
00
10
11
10
00
10
00
10
11
11
01
11
11
10
00
00
00
10
11
00
01
00
11
01
00
10
01
00
10
10
01
10
10
11
10
10
01
10
10
00
10
01
01
10
00
00
01
00
00
10
10
11
01
11
01
00
01
10
00
00
00
10
10
11
11
01
00
00
01
10
11
00
00
10
10
00
10
11
10
11
01
11
10
00
11
10
01
00
01
10
10
00
01
00
10
01
00
11
11
00
00
11
00
00
10
10
11
00
10
10
00
00
00
00
01
00
00
01
10
10
00
11
10
00
01
10
10
11
10
00
00
10
10
11
11
01
00
00
01
11
00
10
10
11
00
10
00
00
11
11
00
01
10
01
10
10
01
01
10
11
10
00
11
00
00
00
00
10
10
00
01
00
00
00
11
10
11
01
10
01
00
00
00
10
00
10
11
01
10
00
10
00
00
11
00
11
10
10
10
01
01
11
10
00
00
00
00
01
11
11
00
11
11
01
00
11
10
00
00
11
01
10
11
01
01
00
10
10
10
00
00
10
10
01
00
11
10
00
00
00
00
00
11
10
01
10
00
10
10
00
00
10
10
10
11
01
11
11
10
11
00
10
01
10
10
00
01
11
10
00
11
00
00
10
10
10
00
11
10
00
10
10
00
10
00
01
11
01
11
10
00
00
11
10
11
10
01
10
10
00
10
10
00
00
10
01
00
01
00
10
00
10
11
01
10
10
10
10
00
00
01
01
10
00
11
10
00
00
11
00
10
11
00
10
10
01
10
10
10
00
00
10
00
10
10
11
10
00
00
00
01
00
10
11
10
01
00
01
01
00
11
10
10
01
00
00
00
10
10
01
00
10
00
00
10
11
10
01
00
10
00
00
11
00
10
11
01
11
10
10
00
01
11
01
00
11
11
00
10
00
01
11
00
00
11
10
10
10
10
10
00
01
01
11
10
00
00
10
10
00
11
10
11
00
10
01
00
11
11
00
00
00
00
11
11
00
00
00
11
10
00
10
11
00
10
10
00
00
11
01
00
11
10
01
01
11
11
10
01
00
11
10
00
01
10
11
01
10
00
10
10
00
10
00
00
01
00
10
00
00
10
10
00
01
00
10
10
11
10
11
10
10
10
00
11
11
00
00
10
10
00
10
11
00
00
00
10
10
10
00
01
00
00
01
11
01
01
00
10
00
01
10
11
01
11
00
11
10
00
10
00
00
10
10
10
10
01
01
01
10
00
10
01
00
01
10
01
00
10
01
00
11
10
10
00
10
10
00
10
10
10
00
10
10
00
00
10
11
10
01
01
00
10
00
10
10
10
01
00
01
10
10
01
00
00
11
10
00
00
10
01
11
10
10
01
00
01
11
11
10
00
00
01
10
11
01
01
10
00
11
10
10
00
01
00
00
10
00
10
10
10
11
00
10
00
01
00
01
00
00
00
00
11
00
00
10
00
01
10
11
10
11
00
01
10
10
00
00
10
00
11
10
00
11
11
01
00
00
11
10
00
00
01
11
10
00
00
00
00
11
10
00
10
01
11
10
10
10
10
10
11
10
00
01
00
10
00
10
10
11
10
00
11
00
00
01
00
10
10
00
00
10
11
01
10
00
10
00
00
01
00
10
00
11
00
00
10
00
01
01
11
11
11
10
00
00
01
01
10
11
01
10
10
10
00
00
00
01
10
11
00
00
00
01
00
00
00
11
01
10
00
10
11
00
10
11
10
10
00
11
01
00
10
10
01
00
01
00
11
01
00
10
00
00
00
00
10
10
01
10
00
10
11
10
00
00
10
10
00
00
11
01
00
01
10
10
11
10
00
01
10
11
00
10
00
10
10
10
01
00
11
01
10
10
00
10
00
00
11
10
00
00
10
00
01
10
11
00
00
10
10
10
11
00
00
10
00
00
11
00
00
00
10
11
11
11
00
11
00
00
10
11
11
00
00
10
10
00
00
00
01
00
11
00
00
11
10
00
11
11
01
10
10
01
00
01
11
00
00
00
00
00
10
10
11
01
01
10
00
00
00
00
01
01
11
11
00
10
00
01
10
00
00
10
10
00
11
11
00
01
10
00
10
00
01
00
00
10
10
10
10
10
11
00
01
10
00
00
01
10
10
11
00
00
11
00
00
00
11
00
00
00
11
10
01
10
10
00
11
10
11
11
01
01
10
00
11
10
10
11
00
00
10
11
00
01
10
00
00
00
00
10
11
00
00
01
01
10
10
10
00
00
00
11
00
00
00
10
00
00
00
11
00
00
00
11
01
00
00
00
01
11
10
10
10
00
00
00
01
10
11
00
11
10
10
00
01
00
00
00
10
00
10
01
01
10
10
00
11
01
00
10
10
10
10
00
10
00
11
10
01
10
10
01
01
11
10
10
00
01
11
10
00
00
11
10
01
01
10
11
00
11
10
00
00
11
10
00
10
10
00
00
10
01
10
10
10
00
11
11
00
11
10
01
00
11
00
01
00
11
10
00
10
00
01
11
00
01
10
11
01
10
00
11
00
10
00
01
10
00
00
11
10
00
00
01
10
11
10
01
10
11
10
10
10
00
00
00
10
00
10
10
00
00
00
10
00
01
00
00
10
10
10
00
10
10
11
11
11
00
00
00
11
10
10
11
00
01
11
11
11
11
00
00
10
01
10
11
00
10
10
00
01
10
01
00
11
11
01
01
10
10
00
00
10
10
00
01
00
10
10
10
10
01
00
10
00
11
00
10
10
10
00
11
00
01
01
11
10
11
11
01
01
11
10
01
10
00
11
00
10
10
10
00
01
00
00
00
10
10
00
00
10
10
00
01
10
10
10
10
11
00
00
11
00
00
01
10
11
10
10
01
00
00
11
10
00
00
00
00
00
10
10
11
10
00
01
10
00
00
10
00
10
11
10
01
11
10
01
00
01
00
00
00
00
10
11
00
10
01
10
00
00
00
00
10
00
10
10
00
01
11
01
01
11
00
01
00
10
11
00
00
10
10
00
00
01
10
00
10
10
10
11
10
10
01
01
11
10
00
11
00
01
10
00
00
10
10
00
10
11
00
01
10
00
10
10
00
01
10
11
10
00
10
01
00
11
10
10
00
11
10
01
11
11
00
01
00
01
00
10
10
00
00
11
00
00
11
11
10
01
11
00
01
10
01
00
10
11
10
01
00
01
10
01
00
00
10
11
01
11
00
00
00
00
10
00
11
10
10
00
10
00
00
00
10
10
10
10
10
00
10
10
11
01
10
00
00
10
10
00
11
10
01
10
10
11
00
00
00
00
11
11
00
10
10
10
10
10
01
00
00
10
00
01
10
00
11
10
00
01
00
10
00
00
10
11
00
00
11
00
01
00
00
10
00
10
10
01
00
10
11
01
11
01
01
10
10
10
10
10
00
01
10
10
01
10
01
11
10
00
10
11
01
10
11
01
00
10
00
10
00
10
00
10
00
11
00
00
00
01
01
10
10
10
11
00
10
01
10
11
01
10
01
10
10
10
11
01
11
00
00
00
00
11
00
00
10
10
00
10
10
00
00
10
01
00
01
01
11
11
11
01
00
10
00
00
11
00
00
10
10
10
10
01
00
10
01
00
00
01
01
11
10
00
10
11
00
11
11
00
00
10
10
00
00
10
10
11
11
00
00
11
10
00
01
00
10
11
11
10
01
10
00
11
10
00
00
11
11
10
01
00
11
10
01
10
10
11
00
01
11
10
00
10
11
00
10
00
10
10
10
11
01
11
00
10
00
10
11
11
01
00
10
00
01
00
10
10
01
10
10
10
10
00
01
00
11
00
01
01
01
00
10
00
10
00
10
10
10
11
10
11
00
01
00
01
00
10
00
00
00
10
10
01
00
00
00
11
10
11
00
00
10
10
00
01
11
11
01
10
11
00
01
01
10
10
11
10
11
10
00
11
01
00
10
10
01
11
10
00
11
10
11
10
00
01
00
00
00
01
10
00
10
10
00
10
10
00
00
10
10
11
01
00
11
10
01
10
10
00
01
10
10
01
00
00
11
10
10
00
10
10
01
00
11
11
10
01
01
00
11
00
00
11
10
01
10
10
00
01
11
00
00
10
00
00
00
11
00
00
10
00
10
10
00
11
10
00
10
10
00
10
00
01
00
11
00
00
10
10
01
00
00
10
10
00
10
00
10
00
01
00
00
00
10
00
00
11
00
01
01
00
10
10
10
10
11
10
00
11
01
10
11
10
10
00
00
01
10
10
11
11
00
00
00
00
10
10
01
11
11
01
00
01
01
10
00
10
00
00
10
01
11
11
00
11
00
00
00
00
11
10
11
00
01
00
10
01
00
11
00
00
11
01
01
11
10
00
11
10
00
10
10
00
11
00
00
00
00
10
00
10
10
11
10
01
00
00
10
01
00
00
00
10
10
11
00
01
00
11
00
00
11
11
01
00
01
10
00
10
10
00
00
10
10
10
10
10
10
10
01
10
01
10
00
00
10
01
01
00
01
10
00
00
01
11
10
11
01
00
10
10
11
10
00
00
10
01
00
00
11
10
00
10
00
11
00
00
10
00
00
10
10
00
10
00
11
11
00
00
00
11
00
00
11
10
01
10
10
00
10
00
10
10
00
10
00
01
10
00
10
00
00
11
00
00
01
00
11
00
01
00
00
10
11
00
00
01
10
10
00
11
01
10
10
00
01
11
10
00
00
10
10
11
10
10
11
00
00
01
01
00
11
00
01
11
00
10
11
01
00
10
10
01
00
10
10
11
01
11
00
00
00
10
00
11
00
01
11
11
10
00
00
10
01
11
11
00
00
00
11
01
00
10
10
01
10
00
00
10
10
00
00
10
11
01
10
00
11
00
00
00
10
00
00
00
10
00
10
10
11
00
10
00
11
10
00
01
11
00
01
01
00
11
10
11
00
00
11
00
00
11
10
00
10
00
11
10
00
11
10
00
00
10
10
10
00
00
10
11
10
11
10
01
10
01
00
10
11
00
10
11
11
01
11
00
01
10
11
01
00
00
10
10
10
10
00
11
11
00
01
10
00
01
00
10
11
10
00
00
11
10
01
10
00
01
10
00
01
10
10
01
00
00
10
00
01
11
10
01
10
01
10
00
10
11
11
01
00
01
10
11
00
10
11
01
00
01
00
11
10
10
00
10
00
01
10
10
00
10
10
00
11
00
00
00
11
10
00
10
01
10
10
01
00
10
10
01
11
00
01
10
01
00
11
10
00
11
11
00
10
00
10
00
00
00
11
00
10
11
00
01
11
11
10
10
00
10
00
00
11
11
10
11
00
01
00
11
10
00
00
00
01
11
10
00
00
10
01
00
10
10
01
10
00
00
01
00
00
11
10
00
00
11
11
01
00
00
01
11
10
00
00
11
10
10
00
01
10
00
00
10
00
10
11
00
00
10
10
00
01
10
10
10
10
01
11
11
10
10
00
01
00
01
10
11
10
00
00
10
10
00
00
10
01
10
10
00
01
10
01
00
00
00
10
01
00
11
11
10
10
10
00
10
00
11
00
00
00
10
11
00
10
10
00
00
10
10
00
01
00
10
00
11
00
00
11
10
10
01
00
10
10
10
00
11
00
11
10
01
10
00
10
11
11
10
00
00
01
00
10
10
10
00
11
00
10
10
00
10
00
11
11
00
10
10
10
00
00
10
00
00
00
00
01
11
00
10
00
10
00
11
10
10
01
00
10
10
01
11
10
00
00
11
01
00
01
00
10
00
01
11
10
00
00
10
11
10
00
11
10
01
00
10
10
10
00
10
10
00
00
00
00
01
00
00
10
10
10
10
01
11
00
00
00
10
11
11
11
00
00
00
00
10
00
10
10
00
00
10
10
00
10
11
00
00
11
00
10
10
10
01
11
11
11
11
01
10
11
00
01
11
10
00
11
11
00
01
10
11
00
00
00
10
00
10
11
01
11
00
01
11
10
10
01
11
10
01
11
10
00
01
10
00
10
10
11
00
00
10
10
00
11
00
10
10
10
10
10
00
01
00
00
11
10
10
10
11
10
01
01
00
00
00
10
10
10
00
00
01
11
10
10
01
11
01
00
11
11
10
01
00
01
00
11
11
00
00
10
00
00
00
11
01
11
00
00
11
11
00
00
11
11
00
10
10
11
10
01
00
11
10
11
11
10
00
11
10
00
10
10
10
11
11
11
10
10
00
00
00
01
00
10
10
01
11
01
10
10
00
00
10
10
00
00
10
10
10
00
10
10
00
11
10
01
01
01
10
10
10
00
10
01
10
10
00
10
00
11
10
10
11
00
01
10
11
10
10
01
00
10
11
10
10
00
00
10
00
00
10
10
00
00
00
10
10
00
10
10
11
10
00
10
00
00
00
00
01
00
11
11
10
01
00
11
10
10
00
11
11
01
11
11
00
10
11
00
01
01
10
10
01
01
11
01
10
10
11
00
01
10
01
01
10
01
00
10
10
10
10
01
10
00
00
01
10
01
10
10
01
00
00
01
11
10
00
11
11
00
10
01
01
00
11
10
00
10
10
00
10
10
00
11
11
01
10
01
10
10
00
00
10
00
01
10
00
00
10
11
01
10
10
00
10
10
00
00
10
01
00
10
00
00
00
10
10
00
00
11
10
00
10
10
11
00
00
10
10
10
00
00
10
00
01
01
11
01
01
00
00
01
10
00
01
10
11
00
10
01
11
10
00
00
11
10
10
00
00
11
10
11
00
10
10
10
01
00
00
11
10
00
00
10
11
00
00
00
00
10
11
01
01
00
01
10
01
00
11
10
00
11
00
00
11
10
11
11
10
01
00
10
01
01
10
11
00
01
00
10
00
01
11
10
11
00
01
10
00
00
00
01
10
11
00
10
01
00
10
00
10
10
00
00
01
11
11
01
10
11
11
00
00
10
10
00
10
11
10
01
11
00
10
01
00
11
00
01
01
10
01
01
00
11
10
10
01
00
10
00
10
10
10
00
01
00
11
00
10
00
00
10
10
00
10
00
00
11
10
00
01
11
10
10
00
10
10
01
00
00
10
10
00
00
10
11
10
11
11
01
10
11
11
10
10
01
11
10
01
00
11
10
10
01
00
10
10
10
00
00
10
10
11
00
00
01
10
01
11
00
01
10
11
10
01
00
00
10
10
10
11
10
00
10
10
10
10
11
00
10
11
11
00
11
11
01
10
00
00
10
10
01
01
00
01
00
11
11
01
10
11
11
00
10
10
01
01
11
10
01
00
00
11
01
01
01
10
10
10
01
10
10
00
00
11
11
00
10
00
00
10
10
11
01
10
11
11
01
01
00
00
00
10
10
10
00
01
00
00
01
10
10
11
10
00
01
01
10
10
00
00
00
01
11
10
11
00
10
11
00
00
00
11
00
11
10
01
11
01
00
00
10
10
10
01
10
10
00
10
00
11
00
01
00
10
00
10
00
10
10
11
11
11
10
01
01
00
11
11
01
00
00
10
10
00
00
01
10
10
00
00
10
00
00
10
11
01
11
11
00
10
11
01
00
10
00
01
11
10
10
10
00
10
00
10
10
10
10
01
10
10
00
11
01
00
10
11
01
00
11
00
00
01
00
11
11
10
00
10
10
10
01
01
11
10
11
01
10
00
11
11
00
01
10
01
01
11
00
00
11
00
10
10
10
00
00
00
00
00
00
00
00
01
10
11
00
10
10
10
00
11
00
00
11
00
01
10
00
11
10
10
10
10
00
01
00
10
10
01
10
10
10
00
10
10
00
00
01
01
10
10
00
10
10
01
00
10
10
10
00
00
00
00
10
10
11
00
10
10
00
11
11
00
00
10
10
11
00
01
11
00
10
00
00
11
10
01
11
00
11
00
00
10
00
10
00
10
11
10
01
10
00
11
11
01
10
10
00
10
11
00
11
10
01
10
00
00
10
00
00
00
10
11
00
11
10
10
10
00
11
11
11
00
00
10
01
01
00
10
10
10
10
10
01
10
10
00
00
11
00
10
10
10
00
00
10
10
10
00
11
11
00
11
00
10
01
01
11
10
00
11
10
10
11
00
00
11
01
01
00
10
11
10
01
00
00
10
11
11
10
00
00
10
00
10
11
01
10
10
10
11
01
10
00
00
01
11
00
11
11
00
01
10
10
01
01
10
11
11
00
00
10
11
11
00
01
00
11
01
00
11
10
00
10
00
00
11
10
00
10
10
11
01
10
00
10
11
10
00
00
10
11
01
00
10
11
10
00
10
00
00
10
01
10
11
10
00
00
10
00
01
10
10
11
11
01
11
01
11
00
01
10
11
01
00
11
10
00
01
10
11
10
10
01
10
00
00
10
10
01
00
11
01
01
11
00
11
00
10
10
10
00
00
00
10
10
00
10
00
00
00
10
10
00
10
00
00
10
00
00
10
10
10
00
00
10
11
01
00
10
00
10
10
10
10
00
00
10
10
00
00
11
01
00
10
11
00
10
11
10
00
00
01
11
11
00
10
00
00
10
00
01
11
10
01
01
10
10
00
00
10
10
00
00
10
10
11
10
10
00
00
00
00
10
11
11
11
00
10
00
00
11
00
00
10
01
00
10
11
11
10
00
00
11
00
01
10
01
00
10
10
10
00
11
01
11
11
01
10
01
11
01
10
10
00
01
11
11
10
00
01
00
11
00
01
10
10
00
00
10
01
10
10
01
11
01
00
01
10
10
00
00
10
00
10
10
00
00
01
10
10
00
10
01
00
00
10
11
11
11
00
01
00
00
00
00
10
00
00
10
10
00
01
01
10
10
10
11
01
11
00
00
10
10
01
00
11
10
10
10
00
00
01
00
11
10
00
00
00
00
11
10
00
10
01
00
11
00
11
10
00
10
01
10
11
00
00
00
10
00
10
10
00
00
00
00
10
00
01
10
00
11
01
10
01
01
00
10
01
00
11
11
00
10
11
00
01
10
10
01
10
11
00
00
10
00
01
10
00
01
00
11
10
10
01
01
10
10
10
00
00
10
00
01
01
10
01
11
11
10
01
11
01
10
11
11
00
00
10
10
11
00
00
00
10
11
00
00
10
10
00
11
00
10
01
10
01
11
01
00
01
00
10
01
00
00
00
11
10
10
11
00
11
10
10
10
10
01
00
00
11
10
10
10
10
01
11
10
10
10
10
10
00
01
10
11
11
01
10
00
10
10
10
01
00
00
00
10
10
10
01
01
00
10
10
10
00
10
11
00
10
11
10
00
11
10
10
10
10
10
10
10
00
10
11
11
01
00
10
00
11
01
00
00
10
10
10
11
01
01
00
01
10
00
00
11
11
00
00
11
11
00
00
00
10
00
10
00
10
10
10
10
10
10
11
11
00
11
01
00
11
11
00
00
00
00
10
00
10
00
00
10
10
10
00
00
11
10
11
11
10
11
00
10
10
10
11
01
00
11
11
01
10
11
01
00
10
11
10
01
01
10
11
11
01
00
01
10
10
00
00
11
00
10
11
10
00
00
10
11
01
11
11
00
11
00
00
00
10
10
00
10
01
00
10
11
01
10
01
00
10
00
01
00
10
10
00
10
10
11
00
00
00
00
11
00
01
01
01
10
10
10
10
01
00
01
00
11
11
00
00
10
01
11
11
11
01
10
00
10
10
01
01
10
01
11
00
10
10
00
10
11
10
01
00
10
01
01
11
11
01
00
11
00
10
10
00
01
10
10
00
00
10
00
11
11
10
01
00
01
11
11
10
11
10
00
01
00
11
01
10
11
01
00
11
00
00
11
11
10
00
01
00
00
10
01
01
11
11
00
10
10
10
11
10
00
00
10
01
01
01
00
10
10
10
11
11
10
00
00
00
11
10
00
00
10
10
10
00
11
00
11
11
00
10
01
10
10
01
00
10
01
00
00
00
11
00
10
00
10
00
00
10
01
11
10
10
00
10
11
10
10
00
01
11
01
10
11
11
00
01
10
11
11
01
01
00
11
00
10
10
00
00
11
01
01
11
11
01
01
10
00
10
10
01
01
11
10
11
11
01
00
00
00
10
10
00
10
10
00
10
00
10
01
01
00
00
00
00
10
01
00
11
11
10
00
00
00
10
10
00
10
10
10
00
10
11
00
00
00
00
00
11
00
00
00
11
10
10
10
01
00
10
11
00
11
10
00
10
10
10
00
01
10
00
01
00
00
10
11
00
10
10
10
01
10
10
00
10
11
00
11
11
00
00
10
01
01
00
11
01
00
11
11
10
01
00
10
10
00
01
00
10
11
11
10
00
00
10
10
10
01
01
00
11
10
01
00
00
11
10
00
00
00
10
10
10
01
00
10
01
00
11
11
11
11
00
00
00
10
10
00
00
10
10
00
10
00
10
01
00
10
00
10
00
00
00
11
01
00
11
00
10
11
10
01
10
10
01
11
10
00
10
11
10
00
00
01
10
11
10
00
01
11
10
00
00
01
10
11
00
10
10
01
10
11
00
00
10
01
10
11
10
11
00
10
11
00
10
01
00
10
11
10
01
00
00
11
00
10
00
10
11
00
10
10
00
00
01
10
11
01
00
00
00
00
00
00
01
10
11
10
00
00
00
10
10
11
11
00
01
00
00
01
00
00
10
00
00
10
00
00
10
11
10
11
01
10
01
00
11
10
00
00
10
10
00
10
10
00
01
10
00
00
01
10
00
10
10
10
11
11
00
10
10
10
11
10
01
11
10
10
10
01
00
01
00
00
10
00
10
10
10
00
00
11
10
10
11
10
10
10
00
00
01
00
10
10
11
10
00
01
00
10
01
00
10
01
01
11
00
00
11
10
11
00
00
00
00
11
11
00
00
10
10
10
10
01
00
10
10
01
00
00
10
10
00
01
01
00
00
01
00
10
10
10
10
01
11
10
11
10
00
00
00
11
11
10
01
00
10
00
10
10
00
00
11
11
10
01
00
01
11
10
00
11
10
00
00
10
11
01
01
10
01
10
00
00
11
10
00
01
10
10
10
00
01
10
10
00
00
10
00
00
10
10
00
10
11
00
10
00
10
00
01
10
00
01
10
11
10
10
10
10
00
01
01
10
00
10
10
11
10
10
10
11
00
00
00
00
11
11
01
11
10
00
11
00
10
00
01
10
01
00
00
10
10
01
01
00
11
00
01
11
10
01
00
01
10
10
10
10
10
00
10
11
11
00
00
11
00
00
00
00
10
00
00
10
11
01
11
10
00
10
10
00
00
01
11
01
10
10
10
11
10
01
00
10
00
11
00
11
10
00
01
11
00
10
10
01
11
00
00
10
01
00
00
00
11
01
00
00
11
01
10
00
00
01
11
00
11
10
10
10
10
01
11
10
01
11
00
11
01
00
11
01
00
00
10
10
11
01
01
00
00
10
10
00
00
10
11
00
00
00
10
01
11
10
00
00
00
10
00
00
10
11
00
00
00
00
10
00
10
11
10
00
10
11
00
01
10
00
11
10
10
10
10
00
00
11
10
11
01
10
01
10
10
10
00
00
00
01
10
10
00
00
10
11
00
00
10
11
00
10
00
10
11
01
11
10
10
00
01
10
00
01
10
01
00
11
11
11
01
10
11
01
00
00
10
00
00
11
11
10
00
10
10
01
10
11
11
11
00
10
11
01
11
01
10
11
01
00
00
00
10
10
10
00
10
10
00
11
00
01
00
00
11
10
10
11
00
00
00
10
01
01
00
11
10
00
10
00
10
10
11
01
00
11
00
01
00
10
01
10
11
00
00
11
10
10
00
00
01
01
00
10
00
10
10
10
11
01
00
11
10
10
10
00
11
00
11
01
00
10
11
10
00
10
10
01
10
11
01
01
10
00
10
10
10
00
10
11
11
00
00
00
11
10
00
00
10
01
10
10
00
00
01
01
01
11
11
00
01
10
00
10
11
01
00
00
10
00
10
10
10
00
10
10
11
10
01
01
10
00
00
00
10
10
00
10
01
01
11
01
10
01
10
00
00
00
10
01
10
11
11
01
00
01
01
00
11
10
10
00
00
10
01
10
00
00
00
10
11
10
10
11
11
11
10
00
00
11
10
10
11
00
01
11
01
10
10
00
01
01
01
00
10
10
00
11
10
00
11
00
01
10
00
00
01
11
10
10
11
10
00
11
11
01
11
10
00
00
10
11
11
00
00
11
00
10
01
11
11
10
10
00
11
11
11
10
01
10
10
11
01
01
11
10
11
00
10
10
00
00
01
00
10
10
00
10
11
00
00
01
10
10
00
00
11
00
11
10
00
10
10
00
00
00
11
10
00
10
11
11
10
01
10
10
00
00
01
01
00
11
10
00
10
01
11
10
10
00
10
00
00
10
10
10
00
01
01
00
00
01
00
00
10
10
00
00
00
00
10
11
10
00
01
00
01
00
11
01
00
00
10
11
10
01
00
10
00
01
10
00
00
00
10
10
00
10
10
10
00
10
00
10
10
10
10
01
10
11
01
01
01
11
10
10
00
01
01
11
00
00
11
10
10
01
10
10
11
10
00
01
11
00
01
00
10
10
10
10
00
10
10
11
00
10
10
10
10
00
00
11
11
00
10
10
01
10
11
00
01
10
01
00
11
00
01
11
00
01
11
01
01
10
11
00
00
00
00
00
10
00
11
00
00
01
10
10
10
00
01
11
10
10
10
00
01
00
00
10
10
10
01
00
10
10
10
01
10
10
00
00
10
10
10
01
00
10
10
00
00
11
10
10
10
00
01
00
00
00
01
10
00
00
10
11
10
11
01
11
10
10
10
01
00
00
10
11
10
10
01
00
10
11
01
10
00
10
00
00
11
10
11
01
00
00
00
10
10
00
11
10
00
00
10
10
00
10
00
10
10
10
10
10
11
11
10
00
11
01
01
11
01
01
10
00
00
01
10
10
10
10
01
01
10
01
01
11
10
01
01
10
01
01
11
10
10
00
00
10
00
01
10
10
00
00
00
10
10
00
11
11
00
01
00
10
11
00
10
10
11
01
01
01
10
10
10
00
00
11
11
10
00
00
00
00
01
00
00
11
10
10
00
00
10
01
00
11
01
10
00
10
01
10
10
00
00
11
10
00
10
01
00
10
00
10
00
01
10
10
11
10
01
01
00
10
10
00
11
10
00
10
11
00
10
00
00
11
10
00
00
00
10
10
00
00
01
01
00
10
10
10
01
00
10
11
00
00
11
01
01
11
01
10
00
10
11
00
00
00
00
00
00
11
10
01
00
01
10
01
10
10
11
11
10
00
00
10
10
10
01
00
10
10
10
00
00
10
11
11
10
01
00
00
00
01
00
10
11
01
10
10
10
10
00
10
10
10
10
00
11
10
00
00
10
00
01
00
11
10
01
00
01
10
00
11
10
10
00
00
11
10
00
10
00
00
10
10
01
00
10
00
00
01
11
00
00
01
10
00
01
10
11
00
10
11
00
11
00
01
00
00
00
11
10
01
00
11
01
11
11
00
11
11
10
00
11
01
00
10
10
01
00
11
00
10
01
00
01
00
01
10
11
01
11
00
01
00
10
11
00
01
10
10
11
10
00
10
11
01
10
10
00
11
10
00
00
11
00
11
01
01
11
10
11
01
10
10
10
01
10
11
00
10
01
00
10
01
00
00
00
10
10
10
10
11
00
01
11
10
00
00
10
01
00
10
00
01
10
11
11
10
00
10
10
00
11
11
00
10
10
01
10
00
00
10
10
10
10
11
01
01
00
10
10
10
01
00
10
10
10
00
10
01
00
11
10
11
10
00
10
00
11
10
10
00
00
01
00
00
00
11
00
10
11
01
11
11
10
00
01
10
11
10
11
01
00
10
00
10
11
10
01
00
00
00
10
10
00
10
10
00
00
10
10
10
00
10
11
10
10
00
00
10
10
10
00
00
00
01
11
01
10
11
10
11
00
11
00
10
11
00
10
10
00
00
10
00
01
00
00
00
11
00
00
00
11
01
10
10
00
00
10
00
00
00
11
00
11
00
01
10
00
00
10
00
00
10
10
11
10
10
10
01
00
10
10
01
00
11
10
10
10
10
00
00
11
10
10
00
10
11
01
11
00
10
11
10
00
01
10
00
11
10
10
10
00
00
10
10
00
00
11
00
10
11
00
10
11
00
01
00
11
10
01
00
10
10
00
10
00
01
10
00
00
10
10
00
01
10
10
11
10
10
00
00
00
11
10
11
10
01
01
00
00
01
01
00
00
00
10
11
10
01
11
11
01
01
10
10
00
10
00
00
10
11
00
10
00
11
10
11
00
00
10
11
00
01
11
10
00
00
00
01
10
10
00
00
00
10
10
10
00
10
00
00
00
01
01
00
00
11
11
11
10
00
10
11
00
00
10
10
00
00
00
11
10
00
00
00
01
10
00
11
11
00
01
00
10
00
00
10
11
10
00
01
11
11
10
00
01
10
01
00
10
00
01
11
11
11
01
00
10
00
11
10
00
10
11
00
01
10
10
10
10
10
01
10
11
00
00
10
10
00
01
00
10
10
00
00
10
00
00
01
00
00
11
10
00
00
10
00
10
00
10
11
00
00
00
11
00
00
11
11
10
01
10
10
11
00
01
10
11
01
11
00
10
00
10
10
01
00
11
00
10
10
00
00
11
11
11
11
11
10
10
10
10
10
00
01
00
10
10
00
01
11
10
10
11
01
10
00
11
00
01
00
10
11
11
00
01
00
10
10
00
01
00
11
10
00
10
01
00
10
10
10
01
00
00
00
10
00
11
10
10
00
00
00
10
11
01
11
10
01
10
00
01
10
00
00
00
00
10
10
10
11
01
11
01
00
11
10
00
00
00
10
00
00
10
01
10
00
11
10
10
01
10
10
00
10
00
11
01
10
00
10
00
11
00
00
11
01
00
01
01
10
00
10
00
10
11
00
00
00
11
00
10
10
10
01
00
10
10
01
10
01
01
11
01
00
11
00
10
10
00
00
11
01
11
10
01
01
00
10
01
01
11
00
00
00
00
00
10
11
10
01
01
10
01
11
00
10
11
00
01
11
10
01
11
10
00
10
11
01
00
10
10
11
00
11
00
11
10
01
00
00
00
11
00
00
00
10
10
00
01
10
00
11
01
00
00
10
10
10
00
01
10
00
00
11
01
10
10
00
00
10
00
10
10
00
00
10
00
01
01
10
11
10
11
10
10
10
00
00
00
00
11
00
00
00
10
10
00
00
00
00
01
10
00
00
00
00
11
11
10
10
01
10
10
10
00
01
00
01
11
11
10
01
00
11
00
10
00
00
11
10
10
00
00
10
01
00
01
00
11
01
01
11
00
11
00
10
11
01
00
11
00
10
01
00
10
10
00
00
10
00
01
11
10
00
10
11
10
01
00
10
10
00
10
10
10
11
10
00
10
00
10
01
10
10
11
00
00
00
00
10
10
00
00
11
00
10
00
01
00
11
10
00
10
11
00
00
00
10
10
01
00
11
00
00
00
11
11
10
10
00
10
11
00
11
10
11
01
11
00
00
01
11
00
00
01
01
11
00
10
00
10
00
10
10
00
01
10
11
10
01
01
01
11
10
01
01
01
11
10
00
10
10
00
10
11
00
00
10
00
10
10
00
10
00
10
11
10
01
11
00
10
00
01
11
10
00
01
10
10
00
11
10
10
11
10
00
10
10
00
00
00
10
10
10
00
00
10
10
01
00
01
10
00
00
11
00
11
10
01
00
11
01
00
10
01
10
01
01
10
00
00
10
11
10
11
10
10
00
00
11
11
01
01
00
10
10
00
00
11
10
00
00
00
10
00
00
11
00
10
10
10
00
01
11
00
00
10
01
11
01
11
11
10
00
10
11
11
00
00
01
00
10
10
10
11
00
10
00
00
00
00
00
00
10
00
11
00
10
00
11
10
00
10
00
00
11
11
00
11
11
00
10
00
00
00
01
11
01
00
10
00
01
10
10
00
00
00
11
00
10
10
00
11
01
00
10
10
01
00
10
01
11
10
01
00
01
10
10
11
01
11
00
10
10
01
00
10
11
10
10
10
10
00
01
10
11
10
01
10
00
01
10
10
00
10
10
00
10
01
00
11
00
01
10
11
00
10
10
11
11
01
00
11
00
11
11
01
00
10
10
10
11
01
00
00
01
00
11
11
10
10
01
10
01
01
10
01
00
00
11
10
00
00
10
10
01
00
10
11
10
10
10
00
11
10
00
11
00
00
11
00
00
00
10
11
10
00
10
00
00
10
00
00
01
10
00
11
11
11
01
11
10
01
10
11
10
00
01
00
10
10
10
00
11
10
00
01
11
11
10
01
10
10
00
10
00
00
10
00
01
01
01
00
10
00
11
00
10
11
00
00
01
00
11
10
10
10
01
00
11
10
00
00
11
11
10
10
00
00
10
01
01
00
00
01
00
00
01
10
11
00
01
11
00
00
00
00
11
10
11
11
10
01
00
01
11
00
10
10
00
10
00
00
10
10
10
00
10
00
01
11
10
10
10
00
00
10
10
10
01
00
00
10
10
11
00
00
01
11
10
00
10
11
00
01
00
01
10
11
00
10
10
01
00
10
10
00
11
01
01
00
11
10
01
11
00
10
10
00
00
10
00
00
10
10
10
00
00
00
10
10
01
01
00
10
01
10
01
10
00
10
10
01
00
00
10
00
11
10
11
10
00
10
00
10
00
11
11
10
00
00
00
10
11
11
01
00
01
11
00
00
10
01
00
00
11
10
10
00
10
01
01
11
10
00
01
00
00
10
01
00
10
10
00
11
10
00
10
00
01
11
10
01
10
10
01
01
00
10
11
00
11
11
00
01
10
00
01
10
10
11
10
01
10
10
00
00
01
10
10
00
10
11
10
11
00
00
10
10
11
00
11
10
01
10
10
00
00
10
10
00
01
01
11
10
01
00
00
10
00
10
10
01
10
10
00
10
10
00
11
10
01
00
10
00
11
00
10
10
01
00
11
11
10
00
00
11
00
10
00
00
11
00
00
10
00
01
00
11
00
00
10
01
10
11
00
00
01
10
00
11
10
00
00
10
01
00
10
10
00
01
00
01
10
01
10
00
10
10
00
00
10
10
00
00
00
01
10
11
01
00
10
11
00
10
00
01
00
10
00
10
11
00
00
01
11
10
00
10
10
00
00
10
10
00
00
10
00
10
10
10
00
10
11
00
00
10
10
10
01
00
00
10
10
10
00
10
00
01
10
00
10
10
10
00
00
11
00
11
10
10
11
01
00
10
00
01
00
01
10
11
00
00
01
00
00
11
10
01
00
10
00
10
10
00
10
10
00
10
00
01
10
11
10
10
10
10
01
10
11
01
00
10
00
00
00
01
10
11
11
01
01
00
00
11
10
00
00
10
00
00
10
10
01
00
11
10
01
00
01
10
10
00
00
10
11
00
00
10
00
10
10
01
10
10
10
10
11
00
10
01
00
10
10
01
01
11
10
01
00
01
00
10
11
01
00
10
00
00
11
10
01
00
10
00
10
00
10
10
00
10
01
00
01
00
10
10
10
00
00
11
10
00
10
10
10
11
00
00
10
11
01
01
10
10
00
00
10
00
10
10
10
00
11
10
10
00
01
10
00
10
10
10
01
00
00
01
10
11
10
10
11
00
00
11
01
01
10
00
01
00
11
11
01
01
01
10
11
11
10
10
11
00
00
11
00
00
00
00
10
10
00
00
01
10
11
10
00
10
10
10
11
10
10
10
00
11
10
00
01
00
11
01
10
01
10
00
10
00
00
10
11
10
01
11
00
00
10
10
01
10
01
11
11
00
00
00
01
00
11
11
10
00
10
10
00
10
10
10
01
10
01
10
10
11
10
01
01
10
10
10
10
00
10
11
00
00
00
11
00
01
10
00
10
10
11
01
11
10
00
11
00
10
10
01
01
00
00
11
10
01
00
10
10
00
00
01
01
10
10
10
00
00
11
10
00
10
01
01
10
10
11
11
10
10
01
00
10
10
10
10
01
10
00
11
01
00
11
10
00
11
01
00
10
10
01
01
00
11
10
00
11
00
10
00
00
00
00
10
10
00
00
00
10
10
11
11
10
11
10
00
10
00
10
01
01
10
10
10
10
11
00
10
01
00
00
10
01
00
01
11
10
01
00
11
01
10
10
00
11
10
10
01
10
00
10
00
01
00
01
10
00
01
10
10
00
00
00
10
11
11
00
00
10
11
11
00
10
10
00
10
00
00
10
10
10
10
00
00
00
11
01
00
11
00
00
00
11
10
10
10
11
10
01
00
00
00
11
10
10
01
10
00
00
10
10
11
00
00
10
00
01
10
10
10
01
10
00
00
00
00
00
10
10
10
01
10
01
10
10
11
11
10
11
10
00
10
10
10
01
00
10
11
10
00
00
10
01
01
00
00
11
10
10
00
01
11
11
00
11
01
00
11
01
00
11
10
01
10
11
00
11
10
00
10
01
00
10
00
00
11
10
10
10
00
00
11
01
10
10
01
00
10
00
11
10
10
00
00
11
11
01
01
01
00
00
10
00
01
10
10
10
10
10
01
00
11
00
00
00
10
10
00
10
10
10
00
10
10
11
01
10
10
01
00
00
00
10
11
01
01
10
10
00
01
10
00
00
10
10
10
10
01
11
11
10
10
01
10
00
10
11
00
11
01
11
00
00
01
00
01
10
11
01
00
11
10
00
10
00
00
00
10
11
01
10
00
01
11
10
01
00
11
10
10
11
00
00
11
10
00
10
10
00
00
10
10
00
01
10
10
00
10
10
00
00
11
10
00
01
10
11
11
00
11
00
00
10
10
10
00
10
11
00
10
10
00
01
10
10
00
01
10
10
00
00
00
00
10
10
00
00
11
00
01
10
00
11
01
01
00
01
00
10
01
00
10
11
10
00
10
10
00
01
10
11
10
00
00
10
01
10
00
01
11
00
11
11
10
01
10
10
10
00
10
00
10
10
00
11
00
11
00
11
00
11
10
01
00
10
11
00
00
10
00
10
00
01
10
10
00
10
11
10
11
11
11
00
01
00
11
00
00
00
11
10
00
10
10
11
00
01
11
01
01
10
00
10
10
01
01
11
10
00
11
01
11
01
01
10
11
10
00
01
10
10
01
00
10
00
00
10
01
00
10
00
10
10
00
00
00
11
00
01
11
00
10
10
10
01
11
10
10
00
10
11
00
01
01
10
11
10
00
10
10
00
00
00
10
00
10
11
00
10
01
00
10
00
10
11
10
10
10
01
11
11
11
01
01
00
11
11
00
11
10
00
11
11
11
00
10
10
00
10
10
01
01
00
01
00
11
00
10
00
00
01
11
11
10
01
01
01
10
00
10
00
00
10
00
10
01
01
10
01
10
11
00
01
10
11
11
01
01
10
01
00
01
10
00
00
10
10
01
10
00
00
10
00
10
00
11
11
11
10
00
10
11
01
00
01
11
10
11
10
10
01
11
10
00
11
01
01
01
11
00
00
10
11
10
10
00
01
11
01
10
11
11
01
00
01
10
11
00
00
00
10
10
00
11
10
10
10
00
11
10
11
11
10
11
01
00
10
11
00
01
11
11
10
01
00
10
01
00
11
11
01
00
00
10
11
01
10
11
00
00
00
01
00
01
10
10
00
11
00
10
11
01
10
10
00
00
01
10
11
00
00
00
10
00
00
10
10
01
01
00
10
11
00
10
00
00
01
10
00
10
10
10
10
00
00
10
10
01
00
00
10
10
10
10
10
01
10
00
10
00
00
00
01
10
00
11
01
01
01
00
10
11
00
10
11
00
01
00
10
10
10
01
00
00
10
00
11
10
01
11
00
00
11
00
11
00
01
10
11
01
00
10
10
10
00
00
10
00
11
10
00
10
10
10
00
00
10
10
00
11
00
11
11
00
10
11
00
00
01
10
00
00
00
00
10
10
00
10
11
10
01
00
11
10
00
10
00
10
00
00
11
00
01
10
10
11
11
01
01
00
00
00
10
10
11
00
00
00
10
10
01
11
00
10
10
00
00
01
10
10
00
11
00
01
00
10
11
11
00
01
01
11
11
01
10
11
01
00
10
11
00
00
10
11
01
00
10
11
10
11
01
00
01
00
10
00
11
11
00
11
10
11
00
11
10
00
00
10
10
00
00
10
00
01
01
11
01
10
11
00
00
11
01
00
10
01
00
11
01
00
10
10
11
00
00
00
00
10
00
10
10
11
00
00
01
11
00
00
00
00
00
10
00
11
00
00
00
00
01
11
00
00
00
01
10
10
11
10
10
10
01
00
00
00
10
11
00
10
10
01
10
10
00
01
10
11
10
00
11
00
10
00
01
10
11
00
00
01
00
01
10
00
00
11
11
00
10
11
11
11
00
11
00
10
10
00
00
10
10
00
01
01
11
10
00
00
11
10
10
00
10
11
11
11
01
01
10
11
01
11
11
01
01
10
10
00
10
00
01
10
11
10
10
10
00
11
00
00
10
10
00
00
10
10
10
10
01
00
00
10
10
11
10
00
10
01
00
00
11
10
00
01
11
10
11
11
00
00
11
11
11
10
01
01
01
10
10
11
10
01
10
00
10
11
11
11
01
01
00
00
11
00
00
11
10
11
10
01
00
00
10
10
00
11
10
00
11
01
00
10
01
01
01
00
11
11
00
01
01
10
10
11
00
00
10
01
00
00
00
10
00
10
10
10
10
11
01
01
11
10
11
11
10
10
00
01
10
10
01
00
10
01
00
10
01
00
00
11
10
10
00
11
00
01
10
11
00
01
00
01
10
10
10
00
10
11
10
00
11
00
11
11
11
10
01
01
10
00
01
10
10
00
00
00
11
00
00
00
00
11
00
00
00
11
10
10
01
00
11
00
00
10
11
01
11
01
00
11
11
00
10
10
00
10
00
00
00
00
00
00
10
11
10
00
11
10
00
00
00
11
01
00
11
10
00
11
10
01
00
10
10
10
00
11
11
10
01
10
11
00
00
01
10
00
00
00
10
11
00
01
10
11
00
00
11
00
10
10
00
01
00
01
11
00
00
00
01
10
00
01
01
00
01
10
10
00
00
11
00
00
10
01
10
10
00
10
10
01
10
10
01
00
00
01
00
01
11
01
00
10
01
00
00
10
00
00
00
10
10
11
00
11
11
01
01
00
00
10
10
00
01
10
10
10
00
10
11
10
00
00
11
10
10
00
01
00
11
00
10
01
00
01
00
10
00
11
10
10
10
00
00
00
10
00
10
10
11
11
10
10
11
00
10
00
10
11
10
10
10
10
00
00
01
10
10
00
10
01
11
10
00
01
10
00
01
10
11
00
10
00
10
10
00
11
11
11
01
00
00
01
10
10
00
00
10
10
00
00
10
01
00
10
11
10
01
00
10
00
00
00
10
11
01
11
00
01
11
10
10
01
00
11
10
00
11
10
11
00
00
11
00
01
11
10
00
10
00
00
10
01
11
10
10
00
01
01
00
01
10
10
01
01
01
00
11
10
00
10
10
10
01
00
00
00
00
00
11
01
10
10
00
00
11
00
00
10
11
00
00
01
01
01
01
00
11
11
10
00
00
10
00
00
10
00
10
10
10
01
11
10
01
10
10
01
01
00
10
10
00
00
10
00
00
00
00
10
00
01
00
00
00
00
10
11
10
00
00
00
10
11
01
10
10
11
10
00
10
10
10
00
00
01
00
10
10
10
10
01
10
01
00
00
10
11
10
11
01
00
00
10
01
01
10
11
11
10
00
10
00
11
11
10
10
00
10
00
11
01
01
11
01
00
11
10
11
10
00
01
10
11
00
11
11
00
00
00
10
11
01
11
10
00
00
01
10
11
10
01
10
10
10
11
00
00
01
00
10
11
00
00
00
10
01
00
00
10
11
00
01
00
00
10
01
01
10
10
10
01
00
10
10
11
00
10
01
00
10
10
10
00
00
00
00
10
00
10
10
10
10
10
10
01
00
01
10
10
00
11
00
10
10
01
10
00
11
10
10
01
01
10
10
01
01
10
10
00
10
00
00
00
00
01
11
10
01
11
00
11
10
11
10
00
00
01
00
00
01
00
00
00
11
10
00
10
00
10
11
01
10
10
11
00
11
10
10
00
00
10
11
01
00
11
10
00
00
01
10
10
00
01
01
01
10
11
10
10
01
00
11
11
00
11
00
10
00
00
01
00
10
10
11
11
01
11
11
00
00
10
10
01
01
10
10
10
01
01
00
10
10
00
11
00
01
00
11
01
10
11
00
01
11
10
00
10
11
00
10
10
00
10
01
10
10
01
10
11
00
00
10
01
00
10
10
00
00
01
10
10
10
01
00
00
00
00
10
00
10
11
11
10
11
01
00
11
01
00
00
11
10
00
00
10
10
00
00
00
00
11
10
01
10
00
01
00
10
10
10
10
01
10
10
00
01
11
00
10
01
11
11
00
10
01
11
01
00
00
11
10
10
11
00
11
01
00
01
00
00
01
01
00
00
10
10
11
11
01
00
11
01
10
10
10
10
00
01
10
00
01
00
11
00
11
00
00
10
00
10
10
10
00
00
10
10
10
00
10
11
10
10
00
10
01
00
10
00
11
11
11
10
00
10
10
00
10
00
00
11
10
00
10
00
11
00
00
00
01
00
10
10
01
10
00
01
10
01
00
11
10
11
10
00
10
00
10
00
11
11
10
00
00
00
00
00
10
11
01
00
10
00
10
01
01
10
00
00
00
10
10
10
11
10
10
00
00
01
00
00
11
11
00
00
11
00
01
01
11
00
10
10
01
10
10
10
00
11
10
00
10
01
00
00
01
00
00
10
01
01
10
10
10
00
10
01
10
00
11
11
11
00
10
10
00
10
11
00
01
10
01
10
11
11
10
11
11
00
01
10
11
10
00
01
10
00
00
00
10
10
00
00
00
10
10
00
01
01
01
11
00
00
10
10
00
10
10
00
10
10
10
10
00
00
10
10
10
00
00
11
11
00
11
10
00
10
10
10
00
10
11
00
10
01
00
10
00
10
10
11
01
01
11
11
01
01
00
10
10
00
00
10
10
00
01
00
10
00
00
10
11
10
10
00
11
11
10
10
10
00
11
10
10
00
01
11
01
00
00
10
11
00
10
00
01
10
11
10
01
00
10
10
01
11
00
01
10
01
10
01
11
01
00
10
00
00
01
10
00
10
11
10
11
00
00
00
11
11
10
01
00
01
10
10
00
00
01
11
10
11
11
00
11
11
00
10
11
01
00
01
10
11
00
10
00
00
11
10
11
01
00
10
00
01
10
00
01
11
01
10
10
01
00
10
00
10
10
01
11
00
00
00
00
00
11
00
01
11
10
00
00
10
10
10
11
01
11
11
00
11
00
01
00
11
11
10
11
00
00
10
10
00
00
10
11
00
11
01
00
00
01
10
00
00
11
10
00
01
11
11
11
00
10
10
10
10
01
00
10
00
00
11
00
10
10
10
11
00
10
00
00
00
11
00
00
00
11
10
10
01
01
10
10
00
11
10
10
00
11
11
00
10
01
10
10
10
00
00
00
10
00
11
10
11
11
01
10
10
10
00
01
10
00
00
10
10
11
00
00
10
00
00
00
00
10
01
10
10
00
01
01
00
00
10
11
00
10
01
01
10
11
01
10
11
01
10
00
11
11
01
11
10
10
01
00
10
10
00
00
00
10
00
11
10
11
00
00
10
10
01
00
10
01
00
10
10
10
00
10
11
10
10
11
10
01
10
00
00
10
00
10
00
00
10
10
01
10
01
10
00
11
10
00
00
00
10
10
00
10
01
11
00
11
00
10
10
10
10
01
11
10
10
00
10
00
10
10
10
00
10
01
00
10
00
00
01
10
01
01
00
10
00
10
01
11
10
01
00
01
11
01
01
10
10
00
00
10
01
00
11
10
00
00
00
10
11
10
00
10
00
11
01
01
10
00
10
01
00
01
00
11
10
01
00
11
00
00
00
10
00
01
11
01
11
11
10
01
10
11
00
00
10
00
00
10
11
00
00
10
10
10
01
00
00
00
11
00
11
00
00
11
11
01
10
00
00
00
10
11
11
00
10
01
10
00
00
11
11
01
10
00
10
11
00
10
00
00
10
00
00
11
01
11
00
10
10
00
10
00
11
10
01
10
00
00
00
00
11
00
00
11
10
00
10
01
11
10
11
11
00
01
10
01
10
11
00
00
01
11
00
01
00
11
10
00
00
00
11
10
00
00
10
10
00
01
10
00
00
01
11
00
11
10
00
11
00
00
11
10
00
00
10
00
01
10
01
00
00
00
01
10
00
00
10
10
00
11
10
01
01
10
01
10
00
11
10
01
11
00
11
01
01
10
11
00
00
00
11
10
00
11
10
10
11
00
00
10
00
10
10
01
10
01
00
00
10
10
10
00
00
11
10
00
01
10
00
00
00
00
00
10
00
10
11
00
11
00
11
01
11
11
01
01
10
10
00
11
10
00
10
00
11
10
00
00
00
00
10
00
01
01
01
10
01
10
10
00
00
01
11
10
10
10
00
10
00
00
00
10
00
00
10
01
00
00
10
10
00
01
01
00
00
10
10
10
01
10
10
11
01
00
00
10
10
00
10
00
10
10
01
11
01
01
00
01
00
11
10
00
00
10
11
00
10
11
11
01
00
01
01
11
01
10
00
01
10
01
00
11
11
00
01
01
10
01
10
10
10
00
00
11
00
01
01
01
00
10
11
01
10
11
10
00
00
10
10
10
01
00
10
00
10
10
00
11
10
01
10
00
00
01
00
00
01
10
01
00
00
11
10
01
01
00
00
10
10
10
00
00
11
00
00
01
10
00
01
00
01
10
11
11
10
11
10
01
00
00
00
00
10
10
10
00
00
00
11
00
01
10
10
00
00
00
11
11
00
10
01
10
00
00
11
01
10
10
11
10
11
10
00
01
00
01
11
10
00
10
01
11
00
00
01
00
01
10
10
01
11
10
10
00
00
10
11
00
00
11
10
00
10
11
11
00
11
10
10
01
01
11
10
00
00
10
00
10
10
01
10
11
11
01
10
00
00
11
11
00
01
01
00
00
10
10
10
01
01
00
00
00
10
10
00
10
10
11
10
00
00
00
00
10
00
10
10
00
01
00
10
10
00
00
00
11
00
11
10
00
01
10
11
00
11
10
00
00
11
00
00
01
10
00
11
00
00
01
00
10
10
00
11
00
10
00
00
10
00
00
10
10
11
00
10
00
10
11
00
10
11
10
11
10
01
01
00
10
00
00
11
10
01
10
10
01
11
10
00
01
10
00
11
00
01
01
00
01
01
10
10
00
00
00
01
10
10
01
00
10
10
10
10
00
11
11
01
10
00
10
01
01
00
01
10
00
10
11
11
00
10
00
01
01
00
00
10
11
01
10
10
10
01
10
00
01
00
10
10
11
00
00
11
00
11
11
10
10
10
10
10
11
10
01
10
01
00
00
00
01
10
11
00
00
00
00
10
11
10
00
00
00
11
00
10
10
00
10
10
10
01
10
11
10
00
00
00
10
10
10
00
01
10
00
11
01
10
00
10
10
00
01
01
00
00
11
11
11
11
00
00
10
01
00
01
10
11
11
01
00
00
10
11
10
00
01
10
10
10
10
10
10
10
01
00
01
00
11
00
11
10
10
00
01
00
00
10
11
11
00
01
00
10
11
01
10
11
01
11
00
00
01
10
00
11
10
00
00
11
00
00
10
10
11
10
11
01
00
00
10
00
10
10
00
10
00
00
01
00
01
10
10
00
00
00
11
00
00
10
01
00
01
00
00
10
10
00
00
10
10
00
10
01
01
00
11
10
00
10
01
00
00
01
10
00
11
10
10
10
10
00
10
11
10
11
10
01
00
10
10
00
10
10
00
00
01
01
10
00
01
01
01
00
10
10
10
10
00
00
10
00
10
01
10
11
01
00
10
00
00
00
11
11
11
00
10
10
01
00
10
01
10
11
00
01
00
00
10
11
01
10
01
00
10
10
11
00
01
00
10
01
01
01
10
00
01
11
00
10
00
01
01
00
10
00
00
00
00
10
11
01
11
00
00
01
00
10
00
11
10
11
01
10
00
00
10
01
10
11
00
00
00
11
00
10
11
01
10
11
00
10
00
01
10
01
10
00
00
00
10
10
11
00
11
10
10
11
10
00
00
11
10
10
01
10
00
00
11
10
10
00
00
10
10
11
10
10
11
01
00
10
10
00
00
10
10
10
00
00
10
00
00
00
00
00
10
10
01
00
00
11
10
01
00
00
11
01
10
00
00
10
00
11
00
10
11
10
11
00
01
11
11
00
00
01
11
00
00
01
10
01
00
00
11
10
00
00
10
00
01
01
10
00
00
10
10
01
10
01
11
01
10
01
00
10
11
10
00
00
10
11
00
01
10
01
10
11
01
01
00
10
11
10
00
00
11
10
11
00
01
11
00
00
11
11
00
00
10
00
01
00
00
10
10
01
11
00
00
00
11
10
11
00
00
10
00
00
10
11
00
00
10
10
01
10
00
10
10
11
00
01
10
10
10
00
00
11
11
00
01
01
01
01
10
00
00
01
10
11
00
00
10
10
11
10
00
00
11
00
00
10
10
11
00
00
11
10
00
01
10
10
01
10
00
01
01
01
00
00
10
10
10
10
10
01
01
10
10
00
10
11
00
11
00
01
00
11
01
01
00
10
10
00
01
00
00
10
00
10
00
01
10
10
10
10
10
01
00
01
10
01
11
01
10
01
00
10
10
00
00
11
01
01
01
00
11
00
10
11
00
01
11
11
11
00
01
10
10
01
00
11
10
01
00
10
10
00
11
10
10
00
00
01
10
11
01
10
11
10
00
10
00
10
10
01
00
00
10
11
10
00
11
10
10
11
00
10
11
00
01
01
11
11
00
01
00
00
11
01
10
10
11
00
00
10
10
11
10
00
00
01
10
10
11
00
00
10
10
10
00
11
10
00
00
00
10
10
01
00
00
11
10
00
10
00
11
11
10
00
11
10
00
11
01
00
10
11
11
00
01
10
00
10
00
01
10
11
01
10
01
10
11
10
11
01
01
10
10
01
00
10
10
10
01
00
11
00
00
00
11
00
00
00
01
10
01
00
11
01
10
10
01
10
10
01
01
01
00
00
11
10
01
10
10
10
11
00
00
01
11
11
00
01
10
10
10
01
00
00
10
11
01
11
11
00
11
00
10
10
10
00
01
01
10
00
01
01
01
01
01
10
11
01
10
10
01
00
10
10
00
10
10
10
10
10
00
10
11
10
11
01
00
00
10
11
00
01
11
10
10
10
00
01
00
00
10
00
10
10
10
10
10
10
10
10
11
11
11
01
10
11
10
01
10
11
01
00
11
01
00
10
01
11
00
01
11
00
00
00
11
00
00
01
00
10
00
00
11
01
00
11
10
10
00
10
01
00
00
01
11
11
00
11
10
10
10
01
10
11
00
10
10
00
00
00
00
10
10
00
00
11
00
00
01
10
01
10
10
10
10
11
10
11
00
00
11
00
10
11
11
11
10
00
00
00
10
00
00
00
10
10
01
10
00
00
10
00
10
00
10
01
00
01
01
00
01
11
10
10
10
00
11
11
10
00
10
01
00
00
10
10
00
10
11
00
01
11
10
01
10
11
10
10
00
11
00
01
01
10
10
00
00
01
00
10
00
10
10
11
11
01
01
00
00
00
10
10
10
00
01
10
00
01
01
01
11
11
11
00
11
11
00
01
11
10
00
10
10
00
00
10
10
10
00
00
10
00
00
10
00
01
01
11
10
11
10
00
10
00
11
10
10
00
00
00
10
11
00
00
01
00
00
10
00
11
00
00
11
10
00
10
10
10
00
00
00
01
00
11
11
00
01
01
00
10
00
01
10
00
00
10
10
00
10
00
00
00
10
00
00
00
00
00
11
00
10
10
00
01
00
11
00
01
11
11
00
00
10
00
11
10
00
01
10
10
10
00
11
11
01
00
11
00
00
00
11
00
01
10
10
11
01
00
00
01
11
11
10
10
00
10
10
00
10
11
10
10
01
00
01
01
11
01
10
10
00
01
00
10
10
01
11
10
01
01
11
10
00
10
01
10
10
10
10
10
00
01
00
01
10
10
01
01
11
01
00
10
11
11
11
10
01
00
10
10
01
01
11
01
01
10
00
01
10
00
11
11
11
01
11
11
01
10
11
01
01
11
10
01
01
01
10
10
11
00
10
00
00
00
00
10
00
10
00
01
10
00
10
00
00
00
00
11
10
00
10
10
01
01
11
00
00
11
00
10
10
10
01
10
00
00
00
01
00
00
10
11
00
10
11
10
10
11
00
00
00
11
10
10
11
00
00
11
11
11
00
10
10
00
01
00
01
11
00
00
11
10
00
00
10
10
00
00
10
00
00
00
10
00
11
11
00
01
00
01
10
11
00
10
10
00
10
10
11
00
01
11
10
10
11
01
01
00
10
11
10
00
00
10
00
10
00
00
11
00
11
11
11
11
10
01
00
00
10
01
00
10
11
00
10
10
10
00
00
00
00
11
00
11
11
11
01
10
10
10
00
10
11
01
10
00
00
10
11
00
01
01
10
10
00
10
11
10
00
10
00
00
10
10
01
00
10
00
01
10
10
10
00
00
10
10
10
00
00
00
00
01
10
00
10
00
11
11
00
10
10
00
00
10
10
01
10
01
00
01
01
10
10
00
10
10
01
01
00
00
10
10
10
00
00
00
00
10
11
11
10
10
10
00
11
01
00
00
00
11
00
01
00
00
11
11
00
11
10
00
00
01
10
11
11
11
11
01
00
11
10
00
01
10
10
10
00
00
00
10
10
10
10
11
01
10
00
00
01
00
10
00
10
10
10
01
00
01
11
00
01
10
10
01
01
00
01
10
11
10
00
11
01
00
00
00
10
10
10
00
00
00
00
10
10
00
10
00
01
00
00
00
00
11
11
00
00
00
10
00
00
10
01
10
11
10
01
00
01
00
01
00
10
11
00
10
10
10
00
11
00
11
01
11
10
10
00
00
10
00
00
10
10
10
01
10
10
00
01
00
10
01
00
10
00
00
10
10
00
10
00
10
11
00
10
11
10
10
01
00
00
10
11
01
11
10
00
10
10
10
00
00
01
00
10
10
10
00
00
00
00
10
00
10
11
10
11
01
10
11
00
00
00
11
11
10
01
00
11
10
10
00
00
11
11
00
01
11
10
01
00
01
11
00
00
10
10
00
00
10
00
00
00
00
11
10
00
10
01
00
11
00
00
10
00
11
11
00
00
10
11
10
00
10
11
10
01
01
00
00
11
00
10
00
01
00
01
11
00
00
10
00
00
11
10
00
10
10
00
10
01
11
10
10
01
10
10
10
10
00
10
10
00
11
00
10
01
01
01
00
10
11
11
10
10
00
00
00
00
01
10
10
10
00
10
00
01
10
11
10
10
00
00
10
11
01
01
10
10
01
11
01
01
11
10
00
10
10
00
01
11
11
00
01
01
01
10
00
10
00
01
11
10
00
10
10
01
11
01
00
00
11
01
01
10
10
00
01
10
10
10
00
01
00
00
00
10
10
10
00
10
10
00
10
10
01
10
00
10
10
00
00
00
00
01
10
11
01
11
00
01
00
00
00
10
11
01
11
11
01
01
01
00
01
00
00
10
10
01
10
01
00
00
11
00
10
10
00
01
11
11
10
10
00
00
01
00
10
11
11
00
10
01
00
01
10
10
11
00
00
00
10
10
10
00
11
10
10
11
10
01
00
00
10
10
01
10
10
01
00
10
10
10
00
00
01
01
00
00
01
10
11
01
00
11
10
01
01
10
11
00
10
00
01
10
10
01
01
00
10
10
01
00
01
00
10
01
00
10
00
00
10
00
11
11
00
01
01
11
10
10
01
01
10
00
00
10
10
00
10
10
10
00
00
10
00
10
10
10
00
10
11
00
11
10
00
11
10
01
01
01
11
00
00
10
00
11
10
01
00
00
00
01
10
11
11
11
01
01
10
10
00
01
11
11
00
00
11
10
00
00
10
01
10
10
01
01
10
10
01
00
10
10
00
01
10
11
10
01
01
10
11
01
00
11
10
00
00
00
00
11
11
00
00
11
10
10
00
10
10
11
01
00
00
00
10
10
00
11
00
01
10
10
10
11
10
11
10
10
00
00
01
10
11
00
00
01
11
10
00
00
00
00
11
11
10
10
10
10
00
10
00
00
10
00
00
00
10
00
10
10
00
00
10
00
10
10
00
10
10
10
10
00
10
00
00
01
11
10
00
11
10
00
10
10
00
10
00
00
10
10
00
00
10
00
01
01
10
10
00
01
10
10
10
10
00
11
00
11
00
11
00
01
00
00
10
10
00
00
10
10
10
11
00
01
10
01
00
10
00
01
10
01
10
11
00
11
10
00
10
10
11
10
01
00
10
00
11
01
00
00
00
10
11
00
00
10
01
00
10
10
00
00
10
10
00
01
11
10
01
00
01
10
01
01
01
01
01
10
10
00
00
00
11
10
00
10
01
10
10
00
00
11
11
11
01
00
10
11
01
10
11
00
10
00
10
10
01
10
01
00
01
11
10
11
00
00
00
00
11
10
10
00
00
10
00
01
01
10
10
11
00
10
01
01
11
01
00
01
01
01
10
00
01
10
01
00
00
11
10
10
10
00
01
11
00
00
00
11
00
01
01
00
10
10
00
10
00
10
01
00
01
01
10
00
10
10
10
01
00
00
00
00
10
00
10
10
00
10
11
00
00
11
01
01
11
00
11
01
00
00
00
10
10
00
10
10
00
00
00
11
10
01
01
01
01
01
11
10
00
10
00
01
10
10
11
00
00
00
00
11
00
10
11
10
00
00
11
10
00
10
00
01
00
01
10
11
01
00
00
10
01
10
10
00
10
11
01
01
01
11
11
10
01
10
11
01
01
10
10
00
00
11
10
01
00
01
10
00
10
00
00
10
10
10
10
10
00
00
10
00
00
00
10
11
11
00
10
00
10
00
10
01
11
10
00
00
01
00
01
10
11
10
01
01
10
10
00
00
10
00
11
10
00
11
10
00
10
00
10
00
00
11
00
10
10
11
00
00
00
01
10
10
10
10
10
10
00
00
10
00
00
01
00
10
10
01
11
10
00
11
11
11
10
00
00
00
10
11
10
00
00
10
00
00
00
11
11
11
11
11
11
11
11
11
01
00
00
11
10
00
01
10
10
00
00
10
10
00
01
11
01
11
11
10
11
00
00
11
11
01
10
01
00
01
10
00
00
11
11
01
00
10
00
00
10
11
01
00
11
00
11
01
10
10
10
00
00
01
10
00
10
10
00
11
10
01
00
11
00
00
01
11
10
00
11
10
10
10
01
00
00
00
01
10
10
00
00
11
10
11
01
00
10
10
10
11
00
01
00
11
11
00
10
01
11
10
00
00
10
01
10
01
10
10
01
00
10
10
01
00
11
10
00
10
11
11
00
10
11
00
01
10
10
00
01
10
10
10
11
11
10
10
01
01
10
10
00
00
11
10
00
01
01
01
10
10
00
10
10
10
11
10
10
00
10
10
00
00
11
01
01
11
10
00
01
10
10
11
01
01
10
10
10
00
00
00
00
11
10
10
00
01
10
11
10
01
00
01
01
10
11
00
11
10
01
00
10
00
11
11
00
00
10
00
10
00
00
00
00
00
00
10
10
01
00
11
10
10
00
10
11
10
10
11
01
10
01
00
11
00
10
00
01
11
10
10
00
10
00
01
11
10
00
01
00
10
11
00
00
00
10
01
10
11
00
10
10
10
00
10
10
11
01
00
10
00
00
00
01
00
00
11
00
01
01
11
10
10
10
10
10
10
10
01
00
00
00
00
01
10
01
00
10
01
00
01
00
01
10
10
11
10
00
00
01
10
11
00
01
10
10
01
11
01
00
00
10
10
11
10
01
00
10
10
00
00
00
10
00
11
10
00
10
01
10
11
10
00
00
10
10
00
01
10
11
00
01
10
00
00
10
01
10
00
01
01
01
01
00
11
10
10
00
10
10
00
01
10
00
00
10
00
10
11
00
11
10
11
00
01
10
11
00
00
00
01
01
10
11
11
01
10
00
11
10
10
00
00
10
10
00
11
10
01
00
10
00
00
10
00
10
10
10
00
00
11
00
10
10
10
10
11
10
00
00
11
10
11
11
01
00
01
01
01
10
10
00
01
10
11
10
00
10
01
00
10
00
00
10
10
10
00
11
10
10
10
10
01
00
01
10
11
10
01
00
00
00
10
11
00
00
01
01
10
10
00
01
11
11
00
10
00
00
10
10
10
00
00
10
10
00
00
00
00
11
10
10
01
01
00
00
01
01
01
00
10
10
10
01
10
00
01
00
00
00
00
11
10
11
10
11
00
10
00
00
10
10
00
10
10
11
00
10
00
01
11
10
01
01
10
01
00
10
00
01
10
01
10
10
11
00
10
00
10
10
11
10
01
00
11
10
10
10
01
00
10
00
10
11
10
01
00
01
10
11
01
11
10
01
10
11
00
00
01
00
00
01
00
11
01
10
01
10
10
00
00
10
11
00
00
10
11
00
01
00
10
01
11
10
00
01
10
10
10
00
01
11
10
01
00
10
10
00
00
11
10
00
01
10
00
00
00
10
11
10
10
10
10
00
00
01
11
10
10
00
00
00
10
00
11
10
10
00
01
00
11
10
00
00
01
11
10
00
00
10
10
10
01
01
11
11
01
00
00
11
10
00
10
11
00
01
10
11
00
11
01
00
10
00
10
11
00
00
10
11
10
11
10
00
00
00
00
00
10
00
10
10
00
10
11
01
00
00
00
10
10
00
10
10
01
10
00
01
01
10
10
01
10
10
00
01
01
10
01
01
10
11
00
00
10
10
11
11
00
00
00
10
10
10
01
11
00
00
00
01
01
00
10
10
10
10
10
00
00
10
10
10
00
11
10
00
10
10
10
00
00
10
01
11
10
10
00
01
00
10
10
10
01
10
10
10
00
01
11
01
11
01
00
11
01
00
10
10
00
00
10
11
00
01
11
10
11
10
10
01
11
00
10
10
10
11
10
11
00
10
01
10
01
01
01
10
10
01
00
10
10
00
11
10
00
01
00
01
10
11
11
01
01
01
00
10
00
01
10
01
00
00
10
10
00
11
11
10
00
00
11
10
10
00
01
01
00
00
11
00
00
00
10
10
10
11
10
00
10
00
10
11
11
11
10
01
11
10
11
10
00
00
10
10
01
10
11
00
00
01
00
00
11
00
00
10
00
10
00
11
01
00
00
10
10
10
10
11
10
00
10
10
01
00
11
00
01
10
10
11
10
00
00
10
10
01
00
10
10
00
00
00
10
10
00
00
00
01
00
10
10
10
00
11
10
00
00
10
11
00
10
10
01
00
00
10
00
00
11
01
11
11
11
10
00
00
01
10
11
10
00
00
00
10
10
00
00
00
00
10
11
10
11
00
00
11
10
10
00
10
11
10
00
10
11
10
00
00
10
01
10
00
00
00
10
01
10
00
01
01
10
01
10
10
11
10
10
00
00
11
01
01
10
10
11
01
00
01
10
10
01
10
00
00
01
11
10
00
00
11
10
10
10
11
00
11
00
00
10
00
11
01
11
11
00
00
10
11
11
00
00
00
00
00
01
11
00
10
01
10
10
00
10
00
01
10
10
10
00
01
11
01
01
10
00
01
10
00
01
10
11
00
10
00
10
10
01
01
11
00
01
00
00
01
10
10
00
11
11
10
00
10
00
00
00
10
00
00
10
11
11
00
10
10
01
01
10
11
00
00
11
00
01
11
00
10
01
00
11
01
01
10
00
11
11
01
11
10
00
10
10
00
01
10
00
01
10
01
10
10
01
00
11
10
11
00
10
10
00
10
11
10
00
10
10
10
00
11
10
00
00
11
00
00
00
11
01
00
00
10
11
01
00
00
10
00
00
00
10
10
10
11
10
00
00
01
10
11
10
00
00
10
10
00
10
10
10
01
11
10
10
00
11
01
11
10
01
00
00
10
01
10
10
00
01
01
10
01
10
00
10
10
00
00
11
01
00
10
10
10
10
01
10
10
00
00
00
00
10
10
00
01
00
00
00
10
11
01
01
11
10
01
00
11
11
11
01
00
00
00
01
10
10
01
10
00
10
01
11
00
00
11
10
01
00
11
00
10
01
00
10
10
10
11
11
00
10
00
00
10
10
10
10
10
00
10
10
11
01
00
10
00
11
00
00
00
10
11
00
00
10
10
10
00
10
10
11
00
00
01
10
10
10
00
00
00
10
10
00
00
00
00
00
11
01
00
00
10
01
00
11
00
10
10
11
11
00
11
10
10
00
00
10
10
00
01
01
11
11
00
10
10
00
01
10
01
01
00
01
00
11
00
01
10
11
10
10
00
00
00
10
01
00
00
10
01
10
00
11
10
11
11
01
10
10
10
10
00
01
01
00
01
11
10
00
00
00
10
11
00
10
10
11
01
11
00
11
10
10
10
10
11
00
10
00
00
10
10
01
00
00
10
11
10
11
00
00
10
10
00
10
10
00
10
10
00
00
01
10
00
11
10
00
00
10
01
10
10
00
11
10
00
01
01
01
10
00
00
00
10
01
10
11
10
11
10
11
01
01
10
00
00
11
10
01
00
00
01
11
10
00
10
10
01
11
01
00
00
11
11
10
11
10
01
00
00
00
10
10
10
11
01
10
01
10
10
00
00
10
10
01
00
10
10
00
10
10
01
01
00
11
10
00
11
01
01
01
10
10
10
01
01
00
11
10
11
00
11
00
11
10
01
11
10
10
11
00
01
10
00
11
00
00
10
00
00
00
00
00
11
11
01
11
11
11
10
11
10
10
11
00
11
00
11
01
10
01
00
10
00
01
10
00
00
10
00
11
01
10
11
10
00
00
10
01
10
11
00
01
11
10
01
11
10
00
10
00
00
00
10
10
00
10
01
11
10
00
10
00
00
11
10
00
00
11
10
01
00
11
00
01
10
10
01
01
00
00
01
10
11
10
11
01
01
10
10
00
01
10
10
10
00
11
11
00
00
11
00
01
10
01
00
10
10
00
01
10
11
00
00
10
00
00
10
00
00
11
10
11
10
00
01
00
01
00
11
10
10
10
01
10
11
10
00
00
10
10
00
10
10
00
10
11
00
10
10
00
00
10
10
00
00
01
01
01
00
00
01
10
00
00
00
10
00
00
10
00
10
11
10
01
00
10
01
00
10
10
10
01
00
11
00
10
10
11
00
01
10
11
10
10
10
00
01
00
11
11
01
01
10
00
00
10
10
00
00
11
10
10
10
00
00
11
00
10
01
00
10
10
11
10
11
00
10
01
10
00
00
00
10
10
00
00
00
10
11
10
00
11
10
10
01
00
10
11
01
01
00
10
10
00
01
10
00
11
10
11
10
10
01
00
10
01
01
11
00
10
00
11
10
11
00
10
10
11
00
01
01
11
10
10
11
10
11
01
00
01
10
10
01
10
10
01
00
10
11
00
10
10
00
10
10
01
00
10
10
10
10
10
10
00
00
11
00
01
10
10
01
00
11
00
01
00
01
11
11
00
10
01
01
10
10
00
10
10
00
01
00
00
00
00
10
00
10
11
10
10
00
00
00
10
00
00
10
01
11
10
00
10
10
10
10
10
01
01
10
11
10
10
10
00
11
00
10
00
01
10
10
11
00
11
10
10
10
11
00
01
00
11
11
10
00
11
10
01
01
10
01
01
00
01
10
10
00
00
10
10
11
00
01
00
01
00
10
10
00
10
10
01
01
11
00
01
00
00
00
11
10
01
10
10
10
00
00
11
01
00
00
10
00
10
11
01
00
10
11
00
00
10
10
10
00
01
10
00
01
01
11
10
00
00
10
00
11
10
01
10
01
01
10
00
10
10
11
10
00
00
00
10
01
00
11
10
01
00
00
10
10
00
00
01
10
01
10
01
00
00
00
01
00
10
10
01
10
01
00
10
00
00
00
00
10
10
10
00
10
01
00
11
00
01
11
01
10
10
01
00
11
10
00
00
10
11
00
00
11
10
10
11
00
11
10
11
01
01
01
10
00
00
10
10
11
00
00
11
01
10
01
11
11
01
00
00
10
00
00
10
11
00
01
10
11
00
10
10
10
10
00
11
11
00
00
11
10
00
00
10
11
00
01
10
10
00
00
10
10
00
00
00
10
11
00
10
10
11
11
11
00
11
11
10
10
01
11
11
00
01
01
01
00
11
00
01
10
00
10
10
11
01
10
10
11
01
01
10
00
10
00
01
11
00
00
11
00
10
10
00
01
10
01
10
11
11
10
01
10
10
01
00
11
10
01
00
10
01
10
01
01
01
10
10
10
01
10
10
00
00
10
00
00
10
11
01
00
10
01
10
11
10
10
10
10
00
00
00
00
00
10
11
10
11
00
00
00
10
11
00
11
11
11
11
01
10
10
01
01
00
10
10
01
11
11
00
11
00
00
01
00
11
11
11
00
00
10
10
11
00
00
10
00
01
00
01
10
11
00
00
00
10
10
00
00
10
00
10
11
10
01
10
11
00
10
10
10
00
00
10
10
01
01
00
10
11
00
00
00
11
10
00
00
10
01
00
10
00
00
00
00
00
10
11
10
10
00
11
11
11
11
00
00
01
10
11
10
00
01
10
00
10
00
01
10
10
00
10
10
11
01
00
00
10
00
01
01
10
10
10
01
01
00
10
10
00
01
01
11
01
01
10
00
01
00
11
10
00
01
10
00
10
00
00
11
10
00
00
11
00
10
10
00
00
01
10
10
10
00
11
00
10
00
11
11
00
11
00
11
11
11
00
01
10
10
00
00
10
10
10
00
01
01
11
10
10
00
10
10
00
11
10
10
10
10
10
00
00
10
01
01
10
10
01
00
01
11
10
01
00
01
00
10
10
11
11
01
01
11
10
11
01
11
10
00
00
01
11
10
10
10
01
10
00
00
00
11
10
00
00
10
11
00
00
10
10
10
00
10
00
00
11
01
10
10
11
11
00
01
11
10
01
00
00
10
11
00
01
00
00
10
10
01
10
10
00
11
10
11
10
01
00
01
00
10
00
10
00
00
10
11
01
01
11
01
10
10
00
10
10
00
00
11
00
00
11
00
10
01
00
11
00
01
10
10
00
01
00
10
11
10
10
00
00
00
10
00
10
00
00
10
10
10
10
10
01
10
10
00
10
00
00
00
10
00
00
10
01
00
00
10
00
11
01
00
10
00
11
11
00
10
11
01
11
00
00
10
10
10
01
00
10
11
00
10
11
00
10
01
10
10
00
11
01
10
00
01
11
00
01
11
11
01
11
11
01
00
10
01
01
10
10
10
00
10
10
00
01
00
10
10
10
00
00
00
11
11
01
10
00
11
10
00
00
01
00
11
00
01
10
11
10
00
00
11
01
10
10
10
11
11
11
01
00
01
01
01
01
11
10
00
01
11
11
00
00
11
00
00
00
10
10
00
01
10
11
10
10
01
00
11
00
10
11
11
11
10
00
00
00
00
11
00
01
11
11
00
01
00
00
01
00
11
10
00
00
10
11
01
10
10
00
10
11
10
01
01
00
01
01
00
00
01
10
10
00
11
00
00
11
00
10
01
11
00
00
10
00
10
00
00
10
00
10
00
00
10
00
11
11
10
11
00
10
10
00
00
10
01
00
01
11
00
00
10
10
00
01
10
10
10
10
10
01
00
00
01
10
01
00
10
10
10
00
00
10
11
10
01
11
10
11
10
10
10
10
01
00
00
11
10
10
11
00
10
11
00
10
01
00
00
00
11
01
10
10
10
10
01
01
10
10
10
10
01
01
00
01
01
11
11
01
00
10
10
00
00
11
10
00
01
10
01
00
11
10
10
10
00
00
10
00
00
11
00
10
00
10
00
11
00
01
11
11
01
10
00
01
00
00
10
11
00
10
00
10
10
00
01
00
10
10
00
01
00
00
11
11
11
10
00
00
10
01
11
10
00
01
11
10
00
01
00
00
10
00
11
10
11
00
00
10
00
01
10
01
00
11
11
01
10
01
00
00
00
10
00
00
10
10
11
00
00
10
00
01
10
11
01
00
10
00
00
10
10
01
10
00
01
10
11
10
10
01
00
10
10
00
10
01
10
11
00
11
00
00
11
10
01
01
11
01
00
10
10
10
00
10
11
00
01
11
01
11
11
10
10
10
00
01
00
10
11
10
00
10
10
01
00
10
10
10
11
10
01
00
00
10
00
00
01
00
10
10
00
00
10
11
00
11
11
10
11
11
01
00
11
11
10
10
01
00
10
10
01
11
00
10
10
11
10
01
00
01
00
11
01
00
10
10
11
00
00
01
01
10
10
00
10
10
00
10
11
00
00
00
00
01
11
01
10
11
10
00
11
10
11
01
01
00
01
10
10
01
10
00
00
00
11
11
01
10
01
10
00
00
00
00
10
10
00
00
10
10
01
11
00
10
10
11
10
00
01
11
10
00
00
11
00
10
11
10
00
01
10
11
10
00
01
10
10
10
11
01
00
10
10
00
01
10
00
00
10
10
10
11
10
00
10
10
00
00
11
10
00
00
11
00
00
01
10
11
01
10
10
11
00
01
10
00
11
10
01
00
00
10
00
11
11
10
01
00
00
00
01
00
10
00
10
01
00
00
10
10
10
10
01
10
00
11
10
10
00
00
00
10
11
00
00
11
10
11
01
11
01
01
10
10
01
10
11
10
01
00
00
01
00
11
10
11
01
10
11
00
10
11
11
00
00
11
10
00
00
00
10
01
10
10
00
00
10
11
10
01
11
10
00
11
10
00
00
10
10
00
11
01
00
00
11
10
00
00
11
10
00
01
01
11
11
10
00
10
10
00
10
10
00
10
00
00
10
10
10
10
10
10
11
01
00
00
10
01
10
00
00
11
11
01
01
10
00
01
10
00
01
11
10
10
00
11
11
10
11
00
00
10
10
10
01
01
10
00
00
00
10
00
00
10
10
00
10
10
01
11
11
11
10
01
10
00
10
11
00
11
10
00
11
01
10
01
00
00
00
00
10
11
11
00
00
11
10
01
00
11
10
00
00
00
10
10
01
00
00
00
00
01
11
10
11
11
00
10
11
00
00
10
10
00
00
00
11
00
11
10
00
00
00
11
10
10
01
10
11
11
00
01
00
01
11
01
00
00
11
11
10
00
00
00
00
10
10
10
00
01
10
11
10
10
10
10
01
00
01
10
01
01
00
00
11
00
11
10
01
10
11
00
01
00
10
10
00
01
11
11
01
00
10
10
01
00
00
10
10
11
00
01
00
00
10
00
00
10
11
00
00
10
10
00
10
11
00
10
00
00
10
10
11
10
11
01
11
10
11
11
00
00
11
10
10
00
00
00
10
10
11
10
01
11
00
01
11
10
00
00
10
10
10
00
00
10
10
10
01
10
00
11
10
11
11
10
11
11
10
00
10
00
00
00
00
10
10
00
10
01
10
10
00
10
10
10
00
00
10
00
11
11
10
11
10
10
01
00
01
10
11
11
11
00
00
00
10
11
10
01
10
01
01
11
10
00
00
10
10
01
11
10
00
11
00
01
00
11
00
01
00
00
00
11
11
00
00
10
01
11
00
11
10
10
00
11
01
11
10
00
11
01
10
00
10
11
11
00
00
00
10
01
10
11
00
10
00
10
10
01
00
10
11
00
11
10
00
00
10
01
01
10
10
10
00
01
01
00
10
00
10
10
10
10
00
00
10
11
01
00
00
00
10
01
01
11
00
11
10
00
01
11
10
01
00
10
10
10
11
11
10
00
01
00
01
11
10
00
00
11
10
00
00
11
00
00
10
00
11
10
00
11
00
00
10
10
11
01
00
00
01
10
11
11
11
00
01
10
10
00
01
10
01
00
10
10
10
01
11
00
00
01
11
00
11
11
00
11
10
11
00
11
00
01
11
00
10
10
10
00
10
00
11
01
01
10
00
10
10
10
10
11
00
01
01
00
00
01
00
00
01
11
10
00
01
10
11
00
00
01
10
10
10
11
11
10
01
01
11
10
11
00
01
10
10
10
00
11
10
10
00
00
00
11
10
10
00
00
10
00
10
10
10
00
00
10
10
01
00
10
10
00
01
00
00
10
00
00
10
00
00
11
00
10
00
10
11
00
01
01
11
00
00
10
11
01
01
10
10
00
00
10
10
01
00
10
10
10
10
10
10
10
00
10
00
00
11
10
10
00
00
10
10
10
01
00
10
11
10
00
10
00
00
10
11
10
00
00
00
00
11
10
10
00
01
10
00
00
10
10
00
11
11
01
00
01
10
10
10
00
00
00
10
01
10
11
00
00
10
00
10
01
00
11
00
10
00
01
00
01
10
00
00
10
10
10
10
00
00
10
11
01
01
00
10
10
10
01
10
10
11
00
01
00
00
10
01
10
00
10
10
10
00
00
01
00
10
10
11
11
01
00
11
00
10
10
10
10
00
11
10
10
11
11
00
00
00
11
11
11
01
00
11
10
01
00
10
00
00
00
10
10
00
01
10
11
00
00
01
01
10
10
01
01
00
11
00
00
10
10
10
00
11
11
10
00
11
00
00
10
11
10
00
10
01
10
11
10
11
10
00
00
00
10
00
01
01
10
00
10
00
00
00
10
10
10
01
10
00
11
00
00
00
01
00
11
00
10
00
01
00
10
10
01
10
01
01
10
11
10
01
00
10
10
01
11
10
00
00
11
01
10
00
00
01
10
01
10
00
00
11
00
00
00
10
10
11
10
01
00
01
10
01
00
10
10
01
00
00
00
10
10
10
00
00
01
10
10
10
10
00
11
11
00
10
11
00
10
10
01
00
11
00
00
01
01
00
11
10
01
11
10
01
01
10
11
11
01
01
00
01
10
11
01
10
10
00
10
01
11
11
10
11
00
10
10
00
00
11
11
10
01
00
10
10
00
10
11
10
00
00
00
00
00
01
01
11
10
00
01
10
11
00
10
11
00
00
00
00
10
10
10
00
10
10
00
00
00
01
00
10
00
00
11
10
11
10
10
00
10
01
11
00
00
11
01
00
11
00
10
00
00
00
11
10
01
00
10
10
00
00
10
01
00
01
10
01
00
10
10
00
11
11
01
00
00
10
11
00
00
00
11
11
01
10
00
01
00
11
01
10
11
00
00
10
00
10
11
01
01
10
10
00
00
11
00
11
11
00
00
10
10
00
10
11
10
00
10
10
00
10
00
00
10
10
01
10
11
00
00
11
10
10
11
00
01
01
00
01
01
10
11
01
11
00
00
10
00
11
10
00
01
00
10
00
11
10
11
00
00
11
10
01
10
10
00
00
00
10
11
01
10
00
11
00
10
00
01
10
00
11
11
10
00
00
10
10
00
00
11
11
01
00
10
00
11
01
01
10
10
10
00
01
11
00
00
10
10
00
10
11
11
01
00
10
11
00
10
00
00
10
11
00
01
10
10
00
01
11
00
10
11
10
01
10
10
10
11
10
00
00
10
10
00
10
00
10
10
00
00
00
00
01
10
10
10
10
10
01
00
10
10
10
00
11
01
10
10
01
11
10
00
10
01
00
00
00
00
00
10
10
11
10
01
00
10
10
00
11
00
10
11
00
00
10
11
00
00
11
01
10
00
11
10
11
10
00
11
10
00
00
10
00
10
11
01
01
00
01
11
10
10
10
10
00
00
10
00
00
00
00
00
10
01
11
10
01
01
10
10
10
10
11
01
01
10
00
10
00
01
10
00
01
10
11
11
01
11
11
00
01
10
10
10
00
01
10
10
00
10
10
00
00
00
11
10
01
11
00
11
00
01
11
00
00
11
10
01
00
00
10
00
00
10
00
00
11
10
10
01
11
11
01
11
00
00
00
10
10
00
00
10
10
00
01
00
00
10
00
10
01
00
10
01
00
00
00
00
11
00
11
10
10
00
00
00
00
00
10
01
11
01
10
10
10
01
10
00
10
00
01
00
10
10
11
00
10
10
10
10
00
00
11
10
10
00
01
10
01
00
00
10
00
00
00
11
00
10
10
00
00
10
11
01
11
01
00
01
10
01
01
10
00
10
10
10
11
00
10
00
10
00
10
10
00
10
11
10
10
10
00
01
00
11
10
01
10
10
10
00
00
11
01
11
00
00
11
10
00
01
10
10
10
10
00
11
01
01
00
00
10
10
00
00
00
10
00
01
10
11
01
11
01
00
11
10
10
00
00
11
00
10
11
10
01
11
10
00
10
00
10
10
11
01
01
00
01
11
10
00
11
10
00
00
10
01
00
11
11
01
01
10
11
10
00
00
10
10
00
01
00
00
00
11
01
01
10
10
01
11
10
10
00
11
00
00
10
11
00
00
11
10
10
10
00
00
00
10
11
11
00
11
10
10
10
00
10
00
10
10
01
01
01
00
10
00
00
10
00
10
11
00
01
10
10
01
00
10
11
10
10
01
00
00
11
10
00
11
10
11
01
00
00
00
10
10
00
00
11
01
00
10
01
00
10
01
00
10
00
00
10
10
00
00
11
11
10
01
01
10
01
11
10
11
00
01
00
10
10
11
00
00
10
00
10
11
00
11
10
10
10
10
11
00
11
10
11
10
00
00
10
00
10
10
00
00
11
00
00
11
11
01
01
01
10
01
00
01
10
10
00
00
10
00
10
11
10
01
00
11
00
11
01
10
01
01
00
10
10
10
10
11
01
00
11
01
01
01
10
11
01
10
11
00
00
10
10
10
10
00
01
10
11
00
10
11
00
00
11
10
01
00
10
01
00
11
10
00
00
10
10
10
00
00
01
11
01
01
10
00
01
10
10
10
10
01
10
11
01
10
10
00
10
10
11
00
10
00
10
11
00
00
00
10
11
01
11
01
10
10
00
00
10
11
10
00
00
10
00
10
00
00
10
10
11
00
00
10
10
10
11
00
01
00
10
10
10
00
00
00
00
11
10
11
00
10
00
00
10
01
01
10
10
10
11
00
00
00
10
10
01
00
01
01
01
10
01
01
10
01
01
10
10
00
00
11
11
11
01
01
01
00
10
10
11
01
10
00
00
10
11
10
00
00
10
10
00
10
10
00
00
00
00
00
10
10
11
00
11
11
00
00
00
10
00
10
11
00
10
11
01
01
01
00
00
11
10
00
10
11
00
01
10
10
11
01
00
11
00
10
00
10
00
00
10
11
11
11
01
00
01
00
00
10
10
00
00
10
01
11
10
10
01
10
00
10
10
00
00
11
11
11
00
10
11
11
01
10
10
01
11
01
11
11
00
00
00
00
00
11
11
01
10
00
10
01
10
10
00
10
10
10
11
00
01
10
00
10
01
00
11
00
00
10
01
10
11
10
01
00
01
00
11
10
11
00
10
10
11
01
01
00
00
10
10
01
00
11
10
00
01
00
00
00
10
11
10
11
01
00
10
00
00
10
11
01
00
10
11
00
10
00
10
10
00
00
11
11
00
01
10
10
11
01
10
00
01
10
11
10
00
11
10
11
10
01
10
00
10
01
11
11
10
00
00
01
10
10
00
10
10
10
01
00
00
11
01
11
11
10
01
10
00
10
11
01
00
00
11
00
00
11
01
00
11
01
11
10
01
00
01
11
10
10
01
10
11
11
01
10
01
10
00
10
11
00
00
11
10
01
10
01
10
11
00
00
11
01
00
11
11
10
10
00
01
10
11
10
10
00
01
00
00
11
11
10
11
00
00
00
00
10
11
00
00
01
10
00
01
00
00
10
00
10
10
01
10
01
10
10
10
10
00
00
00
11
11
00
00
00
00
10
10
01
11
10
11
10
00
10
00
11
10
00
01
00
10
11
10
00
00
11
10
00
00
00
00
10
10
10
11
10
10
00
11
00
01
00
11
11
10
00
00
10
10
10
00
01
10
11
10
11
00
00
01
10
00
01
11
10
01
11
11
10
00
00
00
00
10
10
00
10
10
01
10
00
10
11
10
01
10
10
10
00
10
10
11
00
00
00
10
10
01
10
11
00
10
01
00
00
00
10
10
00
01
00
00
00
10
00
00
00
10
10
10
11
00
00
11
10
00
00
10
10
10
01
01
10
11
10
10
10
00
00
10
00
00
10
11
11
00
11
10
11
10
11
10
10
10
00
01
10
00
00
00
11
10
01
00
10
11
00
11
10
00
01
10
01
11
11
10
10
00
01
00
10
10
00
11
10
10
10
00
00
00
11
10
01
01
11
00
00
10
00
10
10
10
01
00
10
10
10
01
00
00
10
10
10
10
01
11
00
01
01
11
01
00
00
01
10
10
00
10
10
10
00
00
01
11
11
10
10
11
10
00
00
11
01
10
11
10
00
11
00
00
11
11
01
10
10
00
01
00
10
10
01
00
10
10
11
10
01
10
01
10
01
00
00
00
00
01
10
11
00
00
01
11
00
00
10
00
01
01
10
00
00
10
10
11
01
10
01
01
11
10
00
11
10
00
00
01
11
10
01
10
01
00
11
10
00
10
11
10
00
00
11
00
10
11
00
00
11
10
00
00
10
10
11
01
01
00
11
00
00
00
10
11
01
01
10
11
01
00
11
00
00
10
00
10
10
00
00
00
10
10
00
00
00
00
01
10
00
01
10
00
10
00
01
00
10
00
01
01
01
10
10
01
00
10
11
11
00
00
00
01
01
10
11
10
01
00
11
10
10
01
00
10
10
11
00
10
11
10
11
00
00
00
11
10
10
00
01
10
10
11
00
01
01
10
10
01
01
00
11
10
00
11
00
11
10
11
00
00
00
10
10
01
11
00
10
00
00
00
00
10
10
00
01
00
10
10
00
10
10
01
10
10
00
00
11
01
10
10
01
01
10
11
10
10
11
00
01
00
00
11
11
00
10
01
00
00
10
11
00
00
00
10
10
01
11
11
01
00
01
01
10
11
10
00
00
10
11
11
00
00
10
10
00
11
00
10
11
10
11
00
01
00
10
10
01
10
10
00
01
10
11
10
00
10
10
10
01
01
10
10
00
00
10
00
10
10
00
10
01
10
11
00
10
00
10
00
10
00
01
10
10
00
00
10
11
01
00
01
10
00
11
10
01
10
00
01
10
00
11
11
01
10
11
11
01
10
10
00
00
10
10
00
00
11
11
00
01
10
00
00
10
10
10
01
00
01
11
10
01
10
10
01
11
10
10
11
00
10
00
10
10
00
11
10
11
10
10
00
10
00
01
01
01
00
11
11
10
00
00
10
01
10
00
00
11
00
10
10
01
01
11
01
10
10
00
01
00
00
11
10
00
01
00
00
00
11
10
10
00
01
01
10
10
10
00
11
01
00
10
10
10
00
00
11
10
00
11
10
10
10
01
00
11
00
00
10
11
00
00
11
10
00
10
11
00
10
00
11
10
10
11
01
11
10
00
00
11
00
10
01
00
01
00
01
11
11
11
10
00
00
10
10
00
11
10
00
10
10
10
00
01
00
01
00
00
01
00
00
10
00
00
10
00
01
00
00
00
10
01
11
10
10
10
00
00
10
11
00
00
01
00
01
11
00
00
11
01
00
10
10
00
10
00
01
11
11
00
11
00
00
10
01
10
00
11
10
11
10
01
00
00
10
00
00
11
10
10
11
10
11
10
11
11
11
10
01
00
00
11
11
10
10
00
00
00
11
10
10
01
01
01
01
01
10
00
10
10
00
00
10
11
01
10
10
11
00
10
00
00
10
10
10
11
11
01
10
11
01
00
00
11
01
10
11
00
00
00
11
10
10
01
10
00
10
00
00
00
00
11
00
00
01
10
11
10
00
11
10
00
11
10
00
00
10
10
10
11
01
00
11
11
11
01
10
10
10
00
11
00
00
11
10
10
00
11
10
10
00
00
10
01
00
10
10
11
01
10
00
00
10
00
11
01
00
00
10
00
01
10
10
00
10
00
00
01
10
00
01
10
10
11
00
11
10
10
00
11
10
10
10
00
11
11
00
11
00
11
00
00
10
00
10
11
10
01
10
10
01
00
10
01
11
00
11
10
00
11
01
01
10
10
00
00
11
10
10
10
10
11
11
01
00
11
11
00
00
10
10
01
11
00
01
11
01
10
11
00
11
00
10
01
01
00
10
00
00
00
00
10
10
00
11
01
10
01
10
00
00
10
10
01
01
10
10
10
11
00
01
10
00
00
11
00
00
10
10
10
00
10
11
10
10
01
10
10
10
11
00
00
11
10
00
00
10
01
00
10
10
00
01
11
00
00
00
11
10
00
00
10
10
10
10
10
10
10
00
00
11
10
00
00
00
01
00
11
11
00
01
10
01
10
00
00
00
00
11
01
00
00
10
10
01
10
11
10
00
11
10
10
00
00
00
11
10
10
00
00
10
00
00
10
01
00
11
00
01
01
10
00
01
10
10
01
01
00
10
10
00
01
00
10
00
01
10
10
10
10
10
00
00
01
01
10
11
11
10
00
00
00
11
00
00
11
11
10
00
01
00
11
11
10
00
10
00
00
10
10
11
00
00
11
10
01
00
10
00
01
01
01
00
10
00
00
10
00
10
00
10
10
10
00
00
11
01
10
01
00
00
10
01
01
11
11
00
10
10
00
00
10
10
11
00
11
10
01
00
01
11
11
11
00
00
00
10
11
00
10
11
10
10
01
11
01
01
10
10
10
00
00
01
00
11
10
11
11
00
01
10
00
01
01
11
10
00
01
11
10
00
10
00
00
10
10
10
10
11
01
11
10
10
01
01
11
10
01
00
10
10
00
00
10
11
10
10
01
00
00
01
00
10
00
00
01
11
01
11
01
01
00
00
11
10
01
01
10
01
00
10
01
00
10
10
01
00
11
00
11
00
01
01
10
11
00
00
11
10
00
00
10
11
01
00
10
01
00
00
01
10
00
00
11
01
10
10
00
11
10
11
00
10
10
10
10
10
11
00
11
00
01
10
00
01
01
11
11
00
01
00
10
10
00
10
11
00
10
01
10
01
01
11
11
01
00
11
01
10
01
01
11
00
00
10
11
01
01
00
10
00
10
11
00
10
11
00
11
00
11
00
01
00
11
11
00
10
10
10
11
00
00
00
10
00
01
10
01
01
11
10
10
00
00
11
00
10
10
00
00
00
11
10
00
01
00
11
10
10
00
10
00
10
10
01
00
10
00
00
10
01
00
01
10
00
10
00
10
00
01
11
10
00
00
10
01
10
10
01
10
10
10
10
01
11
10
00
10
10
11
00
00
10
10
00
00
10
10
10
01
00
00
01
10
00
10
11
00
00
00
00
00
10
11
10
01
01
00
00
11
10
00
00
10
10
11
01
00
10
10
00
11
11
00
11
11
00
10
00
00
10
11
00
11
00
01
00
00
10
10
10
01
00
11
10
10
11
00
10
10
10
00
01
00
01
10
10
00
11
11
01
01
01
00
11
00
11
10
11
00
00
01
10
00
00
00
00
00
01
10
01
00
00
11
10
11
11
00
00
10
00
01
00
11
00
01
00
10
10
00
00
10
01
00
11
10
11
11
10
10
11
11
01
11
10
01
01
11
01
00
10
11
11
10
00
00
10
10
00
10
11
00
00
01
01
10
10
00
01
10
11
00
10
10
10
00
10
01
10
10
10
10
01
10
10
10
10
10
00
00
10
00
11
01
00
10
10
11
00
10
11
10
00
11
10
00
11
00
11
11
00
00
10
01
00
10
10
00
00
00
00
01
10
10
10
10
00
11
10
01
10
10
11
10
10
01
00
11
01
10
10
00
00
00
00
01
00
10
10
00
11
00
10
11
11
10
01
10
01
11
11
10
10
10
10
01
00
01
00
01
10
10
00
00
10
10
00
00
10
11
00
01
01
11
10
10
10
00
10
10
11
00
11
01
00
11
00
01
00
10
10
00
01
10
00
01
00
00
11
10
11
01
00
10
10
00
10
10
00
00
11
10
00
11
10
10
00
00
01
11
11
01
11
10
01
10
00
00
10
00
11
00
00
10
10
00
00
00
10
10
01
10
01
00
11
10
00
11
01
01
10
10
11
10
10
01
10
11
00
00
10
10
01
00
11
01
00
00
11
10
01
00
10
10
00
00
10
10
00
00
10
10
10
10
10
00
00
10
00
00
00
00
10
01
01
10
10
00
10
11
01
00
11
11
00
10
01
00
10
00
00
11
00
10
00
11
00
10
00
10
01
10
11
01
00
10
00
11
00
00
10
11
10
11
00
00
10
11
10
00
00
10
01
00
00
00
00
10
11
10
00
00
11
10
11
11
01
00
10
00
00
00
11
10
11
11
01
00
11
10
01
10
10
01
00
10
10
11
11
10
00
01
00
11
00
10
11
00
11
00
10
10
00
11
10
11
01
00
00
11
10
01
11
10
10
10
10
00
11
01
10
10
00
00
00
00
11
11
00
11
10
00
01
00
11
01
01
00
11
01
11
10
01
10
10
00
01
10
00
00
11
10
11
10
11
00
01
00
01
11
11
00
00
01
10
00
10
10
00
00
00
00
10
01
10
10
11
10
00
11
11
11
10
01
10
10
00
00
00
00
10
10
00
00
10
10
00
00
00
00
00
10
00
00
10
00
11
10
01
01
11
10
00
00
10
10
10
11
01
11
10
10
00
10
11
01
01
00
10
11
00
01
00
11
10
00
00
01
10
11
11
00
11
11
11
00
10
11
00
00
10
00
00
00
00
11
00
11
10
00
10
00
01
10
10
01
01
10
10
10
11
00
10
00
01
10
10
11
00
10
10
00
00
10
11
00
00
10
00
10
10
10
11
11
00
00
00
11
00
01
00
11
11
00
00
11
10
01
01
11
10
01
10
11
00
00
01
00
10
00
01
01
11
01
01
01
00
00
00
00
01
10
11
00
10
11
10
00
10
10
10
10
01
11
00
00
01
01
10
01
00
10
11
00
01
01
10
00
00
01
10
10
00
00
11
10
00
01
00
10
01
10
10
01
00
00
00
10
10
00
00
00
10
10
11
00
11
10
00
10
00
00
00
11
10
10
10
10
11
00
10
01
11
10
00
01
00
01
00
01
11
10
10
10
00
00
10
00
11
11
01
00
11
10
11
00
10
10
00
11
11
10
10
00
00
00
00
10
00
00
00
00
10
00
01
00
00
10
10
11
10
00
01
11
11
00
10
10
10
01
00
10
00
11
10
10
11
10
01
10
10
00
10
01
10
10
01
10
11
00
10
00
00
00
01
01
10
11
11
11
10
01
00
00
11
10
10
10
01
00
10
10
00
10
10
11
00
11
00
01
00
10
11
10
10
01
10
10
10
10
00
10
10
01
10
10
10
00
00
11
10
10
10
01
10
11
00
01
00
10
00
11
01
00
10
10
00
10
01
00
10
10
01
10
00
10
10
01
00
10
11
10
01
00
10
10
10
10
10
11
01
00
01
00
11
10
01
10
10
00
00
10
11
01
00
10
01
01
01
01
10
11
00
00
11
01
00
10
10
01
00
00
10
11
10
00
01
11
01
00
00
11
10
10
01
01
00
00
11
00
10
10
10
01
10
00
00
11
10
10
10
00
01
10
10
10
10
10
10
00
00
11
00
00
01
10
10
01
01
10
11
11
10
10
00
00
11
10
00
00
00
11
10
11
00
00
10
10
00
10
10
00
10
11
11
11
00
00
11
11
10
10
11
00
00
10
01
11
11
10
00
10
10
10
11
01
01
11
01
00
10
10
00
10
10
00
00
11
10
10
00
01
00
00
10
10
01
10
11
00
10
10
10
01
00
01
10
11
00
11
00
10
11
00
00
10
11
10
00
00
10
00
00
00
00
10
00
10
11
10
10
10
01
00
10
10
00
11
10
10
00
00
11
01
00
11
00
00
00
01
00
10
10
00
01
00
01
10
11
10
00
10
10
00
00
10
11
10
01
10
11
00
00
00
00
00
10
11
10
11
10
00
00
00
00
00
10
11
10
10
00
11
00
10
01
00
10
11
01
01
00
11
11
10
00
11
10
01
01
10
00
01
11
10
11
00
01
10
10
10
11
01
00
10
10
10
01
10
00
10
00
11
10
11
10
00
00
00
10
00
00
10
00
10
11
01
01
10
10
11
10
11
10
00
00
00
11
11
01
01
10
00
00
00
10
01
00
10
01
10
00
00
11
00
11
00
10
10
00
00
00
01
10
00
00
00
00
01
00
00
00
11
00
01
00
11
00
10
01
00
11
01
01
10
01
10
11
01
01
10
11
00
00
00
00
01
00
10
10
01
11
00
10
00
10
10
00
10
11
00
10
10
10
00
01
00
01
00
01
10
00
01
11
10
01
11
01
00
10
11
00
10
11
10
01
00
10
11
01
00
10
00
10
10
10
10
01
00
11
00
00
00
00
10
10
11
00
00
10
00
00
00
11
00
11
10
00
00
10
00
00
01
11
00
10
10
00
01
01
10
00
00
01
00
00
00
00
11
10
10
01
10
00
10
11
00
11
11
11
01
01
00
11
01
00
10
10
00
10
00
00
10
10
01
10
10
11
00
11
10
00
10
10
01
00
10
10
11
11
00
10
11
00
00
10
00
10
00
01
11
11
01
00
00
00
01
10
00
00
11
00
10
10
01
10
11
00
00
10
10
01
10
00
10
10
01
11
01
00
00
00
00
01
01
11
10
00
10
10
10
00
00
11
10
10
11
10
00
01
00
10
01
00
11
11
10
11
10
11
00
00
01
10
01
10
11
00
00
10
10
00
01
00
11
00
01
10
10
10
00
00
10
00
00
11
11
10
10
00
10
10
10
10
01
01
00
10
00
11
10
01
01
10
10
00
11
01
10
00
01
10
10
01
10
10
00
00
00
10
10
00
01
00
10
00
10
10
10
01
00
01
10
01
00
00
01
11
10
00
00
10
00
00
00
10
10
01
10
00
10
00
00
10
01
10
00
00
10
00
00
10
10
00
10
10
10
11
10
01
01
01
11
11
00
00
10
00
00
10
10
00
11
00
11
00
00
01
11
11
10
00
01
10
10
01
01
10
10
01
10
00
00
10
10
01
01
10
01
01
00
00
10
11
00
01
11
00
10
00
00
10
01
10
10
10
10
00
10
11
01
10
10
00
10
00
10
01
00
10
00
01
10
01
10
00
10
10
01
10
00
00
10
10
00
10
11
00
10
01
10
01
11
00
11
10
11
00
10
10
10
10
00
00
01
11
00
10
01
00
00
01
10
00
10
10
10
11
01
00
01
10
10
00
11
11
00
00
10
11
10
00
00
11
11
11
00
01
00
01
00
01
00
11
11
10
01
10
01
00
01
01
11
10
00
10
10
10
11
00
01
10
10
01
11
00
10
11
00
11
11
00
01
10
10
10
00
10
10
01
01
10
00
10
00
01
00
10
00
00
00
00
10
10
00
00
11
00
10
00
00
11
10
10
00
10
00
10
00
00
11
10
00
00
10
10
01
10
11
10
00
10
11
10
00
11
11
00
10
00
00
10
10
00
01
10
10
00
10
10
00
11
10
10
01
10
01
10
10
00
01
10
10
11
01
00
01
00
11
01
00
00
11
10
00
10
11
11
10
00
00
01
01
10
00
10
00
00
10
00
10
00
00
10
10
11
00
11
11
11
00
00
10
00
00
00
01
11
11
00
01
01
10
10
10
00
00
11
10
00
00
10
00
01
01
10
00
00
10
10
10
10
01
01
10
00
01
00
01
00
11
10
10
01
00
11
10
10
00
11
00
00
01
00
01
00
00
10
10
10
11
00
10
01
10
01
00
11
10
10
00
01
00
10
10
01
00
11
10
00
10
10
10
00
01
10
10
10
01
10
10
10
11
01
00
11
11
00
01
01
10
00
00
10
10
10
01
01
10
10
01
10
01
00
01
10
00
10
10
00
01
10
10
11
10
01
10
00
01
10
01
10
01
00
11
00
00
00
10
00
00
11
11
00
10
11
00
01
11
11
01
00
11
10
00
01
01
00
11
01
01
10
10
00
10
11
00
11
10
11
00
10
10
00
10
11
00
00
00
11
11
10
00
00
01
01
00
11
11
00
10
01
11
10
00
01
01
00
01
00
10
00
10
11
00
01
00
01
01
01
10
01
00
10
10
00
01
10
10
00
10
10
11
10
01
10
10
00
00
10
10
10
01
11
01
00
00
00
10
01
00
11
10
10
11
11
00
01
11
11
01
10
00
10
11
11
00
00
10
00
10
10
11
01
01
01
00
00
10
00
00
11
00
00
01
10
10
00
10
00
10
00
10
11
10
11
01
01
10
00
00
10
00
00
11
10
00
00
00
00
10
00
01
01
10
10
10
00
00
10
01
00
10
10
00
11
10
00
10
10
00
00
10
01
10
11
00
00
01
11
01
10
11
00
11
00
10
11
00
11
00
11
11
10
00
00
10
01
10
11
01
10
01
10
00
11
00
01
11
00
01
10
01
10
10
01
00
11
10
01
00
11
11
00
00
00
10
10
11
00
00
11
11
01
00
10
11
10
10
01
00
10
01
10
11
10
00
11
00
01
11
00
10
01
01
10
00
00
10
00
00
00
00
00
00
10
10
10
10
11
10
00
10
10
00
10
10
11
10
10
01
10
10
10
01
00
00
00
10
00
10
10
10
10
11
11
00
10
10
00
11
01
01
00
10
10
01
00
10
00
00
00
10
10
00
11
10
01
00
00
11
00
11
10
10
01
00
10
10
10
00
11
10
01
00
10
00
10
10
10
00
01
11
10
00
01
10
00
01
00
10
11
10
11
11
00
00
01
10
00
00
10
11
00
00
11
10
01
00
00
01
11
10
01
01
11
01
01
01
10
11
11
00
01
11
11
00
00
00
00
11
11
11
00
11
01
01
00
10
00
10
11
01
00
11
00
00
10
01
00
10
00
01
00
10
10
00
10
11
10
10
11
01
00
00
01
10
00
00
01
10
10
01
10
00
10
01
00
10
00
00
01
11
00
00
00
11
01
11
00
01
00
00
10
10
11
00
10
00
00
00
00
00
11
10
01
01
10
11
10
10
00
10
00
01
11
11
00
10
10
00
10
11
10
00
11
01
00
00
10
10
00
01
10
11
10
11
00
11
11
00
01
10
10
10
00
01
10
10
00
10
01
00
10
10
10
10
00
00
10
10
01
10
11
01
00
00
00
10
00
01
00
00
00
10
11
11
11
11
10
01
10
00
00
11
10
00
10
00
01
10
00
00
11
10
00
00
00
00
10
10
11
10
01
11
11
10
00
00
01
00
11
01
00
00
11
01
10
00
01
11
11
01
10
00
00
00
11
11
01
00
00
10
00
11
00
10
11
11
00
01
00
11
00
00
10
10
00
00
10
10
00
10
11
00
00
00
00
10
00
00
11
11
00
11
10
11
00
10
10
01
11
11
01
01
00
01
00
10
01
01
00
01
11
10
00
00
00
00
11
11
10
01
00
00
00
11
10
01
00
00
11
00
10
00
00
10
11
01
00
00
11
10
00
00
10
00
01
00
11
11
00
11
11
00
00
10
10
11
00
10
01
00
10
10
10
10
10
00
00
10
10
01
10
00
10
00
00
10
11
10
01
00
10
10
10
01
00
00
00
10
10
00
10
10
10
01
10
10
01
00
10
00
11
00
10
10
01
01
00
10
11
10
00
11
11
10
00
11
10
00
00
00
00
11
10
01
11
00
10
01
00
11
00
10
00
00
10
10
10
00
11
11
01
10
10
10
10
00
00
10
10
01
11
11
10
11
01
10
01
01
00
11
11
00
00
11
10
11
10
00
11
11
00
10
00
00
01
10
10
00
00
10
10
00
01
10
10
00
11
01
00
10
01
00
10
01
00
11
00
00
10
10
10
10
11
00
01
00
01
11
10
10
01
10
00
00
10
11
01
01
11
10
01
11
10
00
10
11
00
11
10
10
10
01
01
10
01
11
11
10
00
00
10
00
01
00
11
01
01
11
01
11
00
10
11
10
00
00
10
10
00
00
11
10
01
11
10
00
10
10
10
10
00
10
01
10
11
01
10
01
11
01
10
00
01
10
10
00
10
10
10
11
00
00
10
10
11
00
10
00
10
00
00
10
00
10
10
01
11
10
11
00
00
11
10
00
01
00
10
00
00
11
10
10
10
00
11
10
11
00
10
00
00
00
00
11
01
00
11
11
00
10
10
00
00
10
10
10
10
10
10
00
00
11
00
10
01
00
10
01
00
00
00
11
10
10
00
01
00
11
10
10
01
00
10
00
00
10
00
00
00
00
10
00
11
10
01
00
11
00
11
10
00
10
10
10
00
10
01
10
11
11
00
11
11
01
10
00
00
10
11
00
00
11
10
00
10
00
00
10
00
01
10
11
11
10
11
00
11
01
00
10
10
10
11
10
01
10
11
00
01
01
00
11
10
00
01
10
10
10
10
00
00
11
11
10
00
11
10
00
01
00
11
00
00
01
10
00
01
10
10
00
10
10
10
00
10
00
00
00
10
00
00
10
11
01
00
10
10
10
11
00
01
10
01
00
10
11
00
10
11
10
00
01
10
10
00
10
00
11
00
10
10
00
10
11
10
01
00
10
00
01
11
10
10
10
01
01
10
01
10
00
11
10
10
10
00
00
00
00
11
10
00
01
10
10
10
00
00
00
10
00
01
10
10
01
00
00
10
01
00
01
01
11
10
10
10
00
11
10
01
00
10
10
11
00
10
10
00
00
11
11
01
00
10
11
00
00
11
00
01
11
01
01
11
11
00
00
10
10
00
00
10
10
00
00
10
11
00
01
00
01
00
11
10
11
00
10
01
01
11
10
10
00
01
10
00
00
10
00
00
00
11
10
10
00
10
01
00
00
11
00
01
10
10
00
01
11
11
11
00
11
01
00
11
01
10
00
01
10
00
00
10
10
10
10
00
01
11
10
00
00
10
00
11
10
11
10
01
00
00
10
00
00
10
10
00
01
10
10
00
00
01
01
11
10
11
01
10
10
11
00
00
10
10
10
01
00
10
11
00
01
10
01
00
10
01
01
10
11
10
00
10
10
00
11
10
00
01
10
10
00
00
10
11
10
11
10
10
00
01
11
00
11
01
00
10
01
11
10
10
01
00
10
10
00
10
01
10
01
10
10
10
00
01
01
01
11
10
11
11
01
00
00
11
10
10
00
00
01
00
11
10
00
00
11
00
01
00
11
10
00
00
00
00
10
00
00
00
00
11
10
01
00
11
00
10
11
10
00
00
00
11
10
00
01
00
00
10
01
10
11
01
00
00
10
10
01
10
00
00
10
10
10
00
10
01
00
10
00
10
10
01
00
00
00
00
11
10
10
00
10
10
10
00
01
00
10
11
01
11
11
00
00
10
11
01
00
11
11
00
00
11
00
10
00
01
10
11
10
11
00
11
10
01
00
10
11
00
10
11
00
10
00
00
10
00
10
11
10
00
00
11
11
00
01
01
10
10
11
00
00
10
00
10
00
10
10
00
10
00
00
10
10
00
00
10
01
00
00
10
11
10
11
10
11
00
10
11
10
00
01
10
10
11
01
10
10
00
00
11
10
01
00
00
00
10
10
11
10
11
10
11
00
11
00
10
10
00
10
10
01
01
11
10
10
00
11
11
00
10
10
00
10
10
00
10
10
00
11
10
01
11
00
11
10
00
10
10
01
10
10
00
00
10
00
00
00
11
10
01
00
11
10
00
10
10
01
00
01
00
01
00
11
10
01
10
11
00
10
01
01
01
10
10
00
10
10
10
11
00
01
10
11
10
01
00
10
10
00
00
10
00
00
10
11
01
00
10
10
00
11
11
00
10
11
11
10
10
10
10
10
00
10
00
00
00
01
11
10
11
00
00
11
00
00
10
10
10
00
10
00
11
00
00
10
00
10
10
00
11
10
11
10
00
01
00
10
11
00
00
11
10
00
00
00
10
00
01
11
10
10
11
10
10
10
11
11
00
00
00
01
11
10
01
00
00
10
10
00
00
10
11
10
00
00
01
00
11
10
10
11
11
10
01
00
00
11
10
00
00
11
11
10
11
10
10
10
01
00
01
01
10
11
00
00
00
10
00
11
11
10
00
01
00
01
00
10
10
00
00
00
10
10
00
01
11
11
00
10
01
00
10
00
10
10
00
01
01
00
11
10
11
01
10
10
01
01
10
00
10
01
10
11
01
00
10
11
11
10
00
10
10
11
00
00
00
10
10
11
10
11
00
11
01
00
10
10
11
00
00
10
11
00
00
10
01
00
01
10
00
10
10
00
00
00
10
10
10
00
10
11
10
01
10
11
10
01
10
01
00
10
10
00
00
10
11
00
11
11
10
10
00
00
01
10
11
10
10
00
01
00
11
10
11
00
11
01
10
00
10
01
00
00
11
10
01
00
00
11
11
00
11
00
00
00
11
10
11
10
00
00
00
00
00
00
11
10
01
00
11
10
00
10
10
00
10
11
00
11
10
10
00
00
10
00
10
11
11
01
00
00
11
10
01
01
11
10
10
10
00
10
00
10
10
00
01
01
01
00
10
01
11
10
01
10
10
11
00
10
00
01
11
00
11
10
10
00
00
00
10
00
00
01
10
10
10
00
00
10
10
00
11
10
10
00
00
10
11
10
00
00
10
00
10
11
10
01
11
10
00
00
00
10
10
00
00
10
00
10
10
10
10
01
10
11
01
00
11
11
00
11
10
00
11
11
10
00
00
10
11
10
00
00
01
10
10
00
00
11
10
10
00
11
00
10
10
10
10
11
10
01
01
11
00
01
01
10
01
01
10
00
10
10
10
11
01
11
10
01
10
01
01
00
00
01
10
00
10
11
00
00
01
00
10
11
10
10
00
01
00
00
10
00
10
00
10
00
00
00
10
11
00
00
01
00
10
10
01
00
00
11
11
11
01
00
01
11
00
11
10
10
00
11
11
00
01
11
11
11
10
00
01
11
11
10
00
00
10
10
01
10
10
01
00
10
10
01
11
01
01
11
11
11
10
00
10
10
00
00
10
11
01
01
00
10
00
10
10
00
01
10
10
00
00
11
00
11
11
00
00
00
01
10
11
01
00
10
00
10
10
11
01
10
11
01
10
00
00
10
01
00
10
10
00
10
00
10
10
00
11
01
00
10
00
11
10
11
00
01
10
00
10
01
10
10
00
00
10
10
01
00
00
10
10
10
10
10
00
11
10
11
00
00
10
10
00
11
00
10
10
00
11
10
10
00
11
01
00
10
11
11
00
00
11
00
00
10
10
10
00
01
10
01
11
00
00
00
10
10
11
00
01
10
00
11
11
10
10
10
00
01
10
00
10
00
10
10
01
01
01
00
10
11
10
10
01
00
10
10
00
10
00
00
10
11
10
01
00
00
00
11
10
01
10
00
10
10
00
01
01
11
10
01
10
11
00
01
00
00
00
01
10
01
10
11
00
00
10
01
00
10
10
00
10
00
10
00
01
10
00
01
00
11
10
01
00
00
10
00
01
00
10
10
11
11
10
10
00
10
11
11
00
11
10
01
10
10
11
00
11
10
10
11
10
10
01
01
10
00
11
10
10
01
10
11
00
01
01
11
00
00
01
00
00
10
10
00
10
10
00
11
10
11
00
00
00
00
10
10
11
00
10
10
00
00
11
00
00
00
11
00
11
10
10
00
01
10
10
11
00
00
10
11
00
00
10
01
11
00
10
11
10
10
00
01
01
11
10
10
00
00
11
01
00
10
01
11
01
10
00
00
10
00
00
11
01
00
01
10
00
10
10
10
00
11
10
10
01
00
01
00
11
10
00
00
01
01
10
10
00
00
00
10
10
01
01
00
11
00
10
10
00
00
10
00
00
00
00
00
10
11
01
10
01
10
01
10
10
00
00
00
11
10
10
01
10
00
10
11
00
10
00
01
00
01
10
11
10
00
00
10
10
00
01
10
10
00
10
00
00
01
00
10
00
00
11
10
01
00
01
10
10
00
00
10
10
00
00
00
10
10
01
00
10
10
00
10
00
11
11
10
00
00
10
01
00
10
10
01
00
01
00
11
00
10
10
11
10
01
10
00
00
01
11
10
10
10
10
00
11
01
01
00
11
01
10
00
10
10
00
00
10
10
10
10
00
10
00
10
01
11
00
10
00
01
00
10
10
10
10
10
11
01
10
01
00
10
11
01
10
00
00
11
10
00
11
00
01
00
10
10
10
00
00
11
10
10
00
01
11
00
11
10
01
10
11
10
10
01
00
11
10
00
01
01
10
00
01
10
11
00
10
01
00
11
01
00
11
00
01
00
00
11
00
00
11
00
01
00
10
00
01
10
11
01
00
00
10
10
01
01
11
11
00
00
10
01
00
10
11
11
00
10
10
00
10
01
00
11
10
01
11
01
11
10
00
00
00
11
00
00
11
00
10
00
00
11
10
01
10
01
00
00
11
11
00
00
10
01
11
10
01
10
11
10
10
00
00
01
10
10
11
11
10
10
00
10
01
10
11
01
00
11
00
00
11
00
10
00
01
10
11
10
00
01
10
00
10
10
00
11
00
01
11
00
10
00
00
11
00
10
00
10
10
00
10
00
01
10
10
11
10
10
10
10
10
10
00
00
00
10
00
01
10
11
00
00
00
00
10
10
11
01
00
10
10
00
00
00
00
11
10
00
00
11
01
01
01
10
11
00
00
11
01
10
11
00
00
00
01
01
00
10
10
10
01
00
11
10
01
00
10
10
00
10
10
10
00
10
11
11
11
11
01
10
00
00
10
10
00
01
10
10
00
10
00
10
10
01
11
10
00
00
00
10
11
11
01
11
11
00
11
11
01
01
11
10
01
10
01
00
11
00
00
11
11
00
01
01
10
11
00
00
10
11
11
11
10
10
01
00
10
00
01
10
00
01
01
10
10
11
10
00
11
01
00
00
11
11
10
10
10
00
00
00
00
11
00
10
10
00
10
10
10
10
11
00
00
10
10
01
00
00
01
00
10
00
10
00
01
11
11
00
11
10
10
10
00
10
11
00
00
10
10
01
10
10
00
10
10
11
11
00
01
10
10
00
11
10
00
00
10
00
00
10
11
01
11
10
00
11
00
00
10
10
00
11
10
10
00
00
01
10
00
10
00
00
10
00
00
00
00
10
10
00
00
10
00
10
10
00
10
00
00
11
10
00
11
00
00
11
10
10
01
00
10
10
10
00
10
10
10
01
00
10
10
01
00
00
11
10
10
11
10
01
00
10
10
10
00
01
00
10
01
10
00
00
10
10
00
10
11
00
00
10
00
10
01
00
11
10
11
11
10
00
01
01
10
01
10
11
00
11
00
01
10
10
11
00
00
10
10
00
01
01
10
10
11
10
10
01
11
00
00
00
00
11
10
11
00
00
11
10
10
00
11
11
10
11
10
00
11
01
10
00
01
10
00
11
10
00
00
10
00
10
11
01
10
10
11
00
10
01
10
00
00
01
00
10
10
00
10
10
11
10
01
00
10
11
00
10
10
01
01
00
10
01
01
01
10
01
00
00
10
10
10
00
10
10
11
00
10
01
00
11
00
10
10
10
11
10
11
01
11
10
10
10
00
10
01
00
11
10
10
10
10
10
11
01
01
10
00
00
11
10
01
01
01
11
11
10
10
10
00
00
11
10
00
00
11
10
10
00
01
11
00
10
10
00
10
01
00
10
00
01
00
01
00
10
00
00
00
00
11
11
01
11
00
01
00
01
01
10
11
00
00
01
10
11
11
00
00
00
11
00
10
10
11
00
11
11
00
10
11
10
11
11
01
10
10
00
10
11
00
11
10
10
00
10
00
10
01
00
10
11
10
10
10
01
01
01
11
10
00
10
11
01
00
10
11
11
00
00
10
00
10
10
00
11
01
01
11
00
10
11
10
11
00
00
10
11
00
00
10
10
01
10
01
00
00
11
11
01
00
01
11
11
00
11
11
00
11
01
00
10
00
00
10
10
01
10
10
00
10
00
01
00
00
10
10
11
00
00
01
00
01
10
10
11
01
01
00
11
10
01
10
10
10
01
01
10
00
00
00
10
11
00
11
11
10
00
10
11
10
00
00
10
11
11
00
01
10
00
11
10
11
10
11
00
11
10
01
10
00
10
10
00
01
01
10
00
11
00
01
10
10
01
10
10
10
00
01
10
10
01
01
01
00
10
10
00
00
10
11
00
01
10
10
11
00
10
11
01
10
01
00
11
11
00
00
10
00
01
01
10
10
10
01
10
10
00
00
00
11
10
11
11
10
10
11
00
00
11
11
10
00
00
01
11
00
00
01
01
10
01
10
11
10
00
00
10
00
11
01
00
10
11
11
00
10
01
00
10
00
00
10
10
00
10
10
10
11
10
10
11
10
10
00
01
10
00
00
00
00
10
00
00
10
10
10
11
11
01
10
11
00
01
01
00
01
10
10
01
00
10
11
11
00
00
00
11
10
01
00
00
10
10
10
00
11
10
11
00
10
00
00
10
00
01
10
00
11
10
10
00
00
00
10
10
01
10
10
00
10
01
01
10
11
10
00
01
00
00
10
10
00
10
01
11
11
01
00
10
00
00
00
11
10
01
10
10
10
00
01
00
10
10
10
10
10
10
00
11
00
00
01
00
01
00
11
10
00
00
01
10
01
00
10
10
00
10
10
00
11
00
00
10
00
10
11
00
11
10
00
01
10
10
10
10
10
10
01
00
10
00
00
10
00
10
11
11
00
01
01
00
11
10
10
10
01
00
11
10
00
11
00
01
11
10
01
10
10
00
11
10
10
11
10
11
00
11
11
01
10
10
00
01
00
11
00
11
01
01
10
11
10
00
01
10
00
10
00
10
11
00
00
11
10
10
10
00
11
00
00
01
00
01
01
10
00
00
10
10
00
00
10
11
00
01
00
10
10
01
11
01
00
10
10
10
00
00
10
11
00
01
11
10
01
10
11
00
01
11
10
10
01
01
00
01
10
10
10
01
10
11
00
00
00
00
00
11
00
00
10
00
00
10
10
11
00
01
10
10
00
00
00
00
10
00
10
10
11
10
00
01
00
10
00
10
00
10
10
00
11
11
00
01
10
10
00
00
00
10
11
10
10
10
00
10
01
11
00
01
01
10
00
11
11
10
00
00
00
10
10
00
10
10
11
10
00
11
00
01
10
01
11
11
01
00
01
11
11
00
10
11
11
00
10
10
00
00
00
00
00
11
10
10
11
00
01
00
00
00
01
10
01
11
10
10
00
00
01
10
10
10
10
01
00
00
01
01
00
00
01
10
11
01
00
10
10
00
10
00
00
10
10
01
01
10
00
10
10
00
10
00
10
00
00
10
01
00
01
10
10
10
10
10
11
00
11
00
01
00
10
01
10
00
10
00
00
00
10
10
11
11
11
10
10
01
10
01
00
10
11
10
00
00
11
10
11
00
00
10
10
01
10
01
01
10
00
00
10
00
00
00
11
00
00
10
11
00
00
10
10
00
10
00
10
00
11
11
01
01
11
00
10
10
01
00
01
11
10
00
01
01
10
01
00
10
10
01
01
10
01
10
10
00
00
01
00
11
11
00
01
01
00
00
01
11
10
11
00
10
01
11
01
00
10
10
01
00
00
00
11
11
10
11
01
10
10
10
00
01
00
10
10
00
11
11
00
01
00
11
01
00
11
10
11
01
00
01
01
10
11
11
01
11
11
01
01
00
10
10
01
00
10
10
00
01
00
01
00
10
10
10
10
10
10
11
00
01
00
11
00
00
00
00
10
01
10
10
10
11
01
10
11
10
11
11
11
01
10
10
00
00
10
10
00
00
00
01
00
10
01
10
11
01
00
00
11
11
00
11
10
00
11
11
00
00
11
10
10
10
00
00
11
10
11
10
00
10
10
00
10
10
00
10
10
00
00
00
00
10
00
00
11
11
01
00
00
01
11
00
10
11
00
01
10
00
00
01
10
11
10
00
00
10
10
00
01
10
00
00
10
00
00
10
01
10
00
11
10
10
00
10
10
11
11
01
01
10
01
11
10
00
01
10
10
10
10
11
00
01
00
11
10
00
11
00
10
10
00
00
00
10
10
00
00
11
01
10
00
00
01
10
00
00
11
10
10
10
00
00
10
11
01
11
10
11
11
10
11
10
11
00
10
00
11
10
01
10
10
01
11
11
00
10
10
01
00
10
10
00
00
00
10
10
11
01
10
01
00
11
11
10
11
00
10
10
11
00
00
10
10
00
00
11
11
10
01
00
00
10
10
10
00
01
11
10
00
00
00
11
10
01
11
10
00
01
01
11
10
00
10
10
01
01
10
11
00
01
10
00
00
10
00
01
11
11
00
00
10
10
11
10
11
00
00
10
10
01
00
01
00
00
11
00
10
10
10
00
10
00
10
10
00
00
00
01
01
10
00
00
11
01
00
01
11
10
00
00
11
01
11
10
01
01
00
10
10
10
01
00
11
10
11
01
00
10
10
11
01
00
11
10
10
01
10
10
10
00
00
10
00
10
00
00
10
01
01
11
00
00
11
10
10
11
01
00
00
10
00
00
00
00
10
10
10
10
00
00
11
00
00
10
00
11
10
00
01
10
10
01
10
01
01
00
10
10
10
00
10
10
11
10
00
10
10
10
01
00
00
00
10
10
10
11
00
00
10
00
10
01
11
11
01
00
00
00
10
01
00
10
11
10
11
10
10
00
00
10
00
01
00
10
00
00
11
10
10
10
00
01
01
10
00
01
10
11
00
10
00
00
00
10
01
00
01
10
10
01
00
01
00
00
00
00
01
01
10
00
00
00
00
10
10
10
01
10
11
10
11
00
00
00
01
01
10
01
01
00
10
01
01
10
11
00
10
00
10
10
00
00
11
10
01
11
01
10
00
00
00
00
10
10
01
00
10
10
01
00
10
10
00
00
10
00
10
10
11
10
00
10
01
01
00
01
10
10
00
00
11
10
00
10
10
00
11
10
10
10
10
00
10
11
00
01
10
00
00
00
00
01
10
11
10
10
00
10
00
10
10
00
01
00
01
10
00
01
00
11
10
10
01
11
10
00
10
10
00
10
00
10
00
01
10
01
10
10
10
11
11
01
01
10
11
00
10
00
10
10
00
01
10
01
00
10
10
00
11
00
10
10
00
11
00
11
11
10
00
10
11
10
00
00
10
00
00
00
10
10
10
11
00
11
00
10
00
10
10
01
01
11
01
01
00
01
10
11
00
01
11
10
11
10
00
00
00
11
10
01
00
11
10
10
11
01
11
11
11
00
00
10
00
00
10
11
11
10
00
00
10
00
00
11
11
01
00
11
00
01
01
00
00
00
10
00
01
11
10
10
00
00
11
10
11
11
10
00
00
10
11
10
00
00
10
10
00
00
10
10
10
10
01
01
11
10
00
10
11
00
11
00
00
11
00
10
10
00
00
10
00
11
00
00
00
01
10
00
10
01
11
11
00
01
10
11
10
01
00
11
01
01
11
11
00
00
10
11
10
01
00
11
01
10
10
10
10
01
10
11
01
10
10
00
00
00
00
10
10
01
11
11
10
00
00
10
10
10
10
00
00
00
00
11
10
00
01
11
00
11
10
00
10
10
00
10
00
11
01
01
00
00
10
10
00
00
00
00
11
01
10
10
01
00
00
00
00
10
00
10
10
10
01
00
10
01
10
10
00
11
00
01
10
10
10
00
10
10
00
00
10
10
11
01
00
10
01
00
00
10
10
10
10
00
11
00
00
11
10
11
10
00
10
01
01
00
10
10
10
00
10
00
10
11
01
00
11
01
10
10
01
00
10
11
01
10
11
00
01
11
00
00
00
00
10
01
00
11
00
01
00
11
11
11
00
00
00
10
10
00
10
10
00
10
00
11
00
00
10
10
00
11
10
11
01
10
00
00
11
00
01
10
01
11
10
10
01
00
10
01
00
00
00
00
10
10
01
00
00
10
01
00
00
00
10
10
11
00
00
00
00
11
11
00
00
00
10
00
10
10
10
10
11
00
00
11
01
10
10
00
01
11
10
00
01
10
10
11
00
11
00
10
10
10
01
00
10
10
00
11
11
10
01
00
10
10
10
01
10
10
01
11
10
10
01
01
11
00
00
10
10
00
01
10
10
00
00
00
01
11
11
11
01
00
00
11
10
00
10
00
00
10
11
10
10
10
10
10
11
10
11
10
00
00
00
00
00
00
01
10
01
10
00
11
10
00
11
10
01
00
00
00
10
10
11
00
11
10
10
10
01
01
10
10
00
10
01
00
00
10
00
00
01
00
10
00
11
11
10
11
00
10
01
10
01
00
00
11
00
00
11
10
01
01
10
01
10
10
10
10
00
00
10
10
10
10
11
10
11
00
10
00
00
01
00
00
10
01
00
10
00
00
00
10
00
11
11
00
10
10
10
10
00
10
01
00
11
00
00
00
11
00
10
10
10
10
00
00
10
10
10
01
00
11
10
10
00
11
00
11
00
01
11
10
00
11
00
00
10
00
10
11
11
10
00
00
10
10
00
00
00
00
01
10
10
11
11
00
01
10
01
11
00
01
10
10
11
00
01
01
11
10
00
10
10
10
01
00
11
10
01
00
01
00
10
10
00
00
10
01
01
00
10
11
00
01
11
10
11
10
10
01
00
11
00
10
10
10
00
01
00
10
00
10
11
10
00
00
01
10
01
10
10
10
00
10
00
10
10
11
01
10
11
10
00
10
11
10
01
00
01
10
10
01
00
10
10
01
01
01
10
01
00
10
10
11
00
01
00
10
10
01
00
10
01
00
10
00
00
11
10
10
00
01
10
11
01
01
10
11
00
10
11
00
01
00
10
10
11
00
00
10
11
10
00
01
00
01
00
11
00
00
00
00
10
11
01
00
10
11
00
00
11
01
10
11
10
00
01
10
11
10
11
01
00
00
00
01
10
00
01
11
00
00
00
01
10
01
10
10
00
10
11
00
00
00
00
01
10
10
01
00
00
00
11
10
01
00
10
00
10
00
01
10
10
10
00
00
10
10
10
11
01
00
10
10
10
00
00
00
10
10
01
10
10
00
00
10
11
10
00
10
11
00
11
00
01
11
00
00
10
11
00
11
10
01
11
10
11
00
00
11
10
00
00
10
10
01
00
10
10
00
00
10
10
01
00
10
00
10
00
00
10
10
00
01
10
00
10
10
01
00
11
11
00
11
00
10
11
01
00
00
11
11
01
00
10
00
01
11
01
11
10
00
10
11
01
00
11
00
11
00
10
11
10
11
01
10
10
11
10
10
10
00
00
10
11
01
00
10
00
11
10
11
01
11
11
00
00
10
01
00
10
11
10
10
11
10
01
00
00
11
10
01
00
10
00
01
01
10
01
10
10
01
10
01
01
01
11
00
00
11
11
00
00
10
00
00
11
00
11
10
10
00
11
10
11
11
00
00
01
00
10
01
00
10
00
00
00
10
10
01
11
01
10
01
00
00
10
10
10
00
00
11
11
00
10
10
10
10
00
01
00
00
00
00
00
11
10
10
01
11
10
01
01
01
11
10
00
00
00
10
10
01
01
11
00
10
10
01
10
00
00
10
10
00
00
01
01
00
00
00
00
10
00
10
01
00
10
00
10
00
10
10
00
00
10
11
01
01
01
00
11
00
11
10
00
10
10
01
00
01
00
10
10
11
10
11
11
11
00
10
10
11
11
00
01
10
10
10
00
01
10
00
00
11
00
10
00
00
01
11
10
10
01
11
00
00
10
01
01
00
00
10
10
11
10
01
10
11
11
00
01
10
11
00
10
00
00
10
11
11
01
00
10
01
00
01
01
10
11
00
10
01
00
10
00
01
00
00
00
10
11
00
00
11
10
00
01
00
00
00
11
10
00
01
00
01
10
00
00
11
00
10
11
00
10
01
10
10
11
00
00
00
10
00
10
01
11
10
10
11
01
01
00
01
00
11
01
11
00
11
00
10
10
11
01
11
00
01
01
00
01
10
11
00
00
00
01
00
10
10
00
10
00
01
10
00
10
00
00
01
01
10
00
10
00
10
10
10
10
11
00
00
00
00
11
00
00
10
10
01
10
00
01
10
11
00
00
11
10
01
01
10
10
00
10
00
00
10
10
01
10
10
00
10
10
01
11
11
11
01
11
11
10
01
11
01
01
11
10
01
11
11
00
01
10
11
00
00
10
11
01
00
00
11
00
10
10
11
10
00
10
10
01
11
11
00
10
00
11
10
10
00
01
00
11
10
01
11
01
00
11
00
01
01
10
00
10
10
00
00
11
00
10
11
10
00
10
10
00
10
10
11
11
01
11
01
00
00
00
00
01
10
11
11
10
10
11
10
00
10
10
10
00
00
10
00
00
00
01
01
01
10
10
00
00
01
10
10
00
10
10
00
10
10
10
00
01
10
00
10
11
00
00
11
10
00
01
01
11
00
00
10
11
01
01
01
10
11
00
10
11
10
00
00
01
10
01
11
00
11
10
00
00
10
11
10
01
00
11
11
00
11
01
00
10
00
00
11
10
10
00
00
10
01
10
10
01
10
10
10
00
00
01
00
11
00
01
10
10
10
01
00
10
11
00
01
00
01
10
11
10
00
01
11
01
00
11
10
01
00
10
00
01
00
11
11
10
11
01
00
10
10
01
01
10
01
00
11
01
00
00
10
10
00
10
10
00
10
11
01
00
10
00
00
00
11
11
10
01
00
00
00
00
10
10
11
00
01
10
00
00
00
11
10
00
01
10
10
00
00
10
10
00
01
01
10
11
10
00
00
01
00
01
10
10
11
10
01
01
10
10
01
01
11
10
00
00
11
00
00
10
10
01
00
11
10
00
00
10
00
11
00
00
10
10
10
10
00
01
00
11
00
01
00
00
10
10
01
00
10
11
01
01
01
00
11
10
11
00
10
00
10
11
01
10
11
10
01
10
10
00
10
11
01
00
10
10
00
10
10
01
00
00
00
10
00
11
00
00
01
00
01
10
01
11
10
00
00
00
10
10
10
10
00
00
10
10
10
11
01
01
00
01
01
10
11
11
01
11
00
00
11
10
00
10
00
10
10
11
11
11
10
10
10
01
01
00
01
11
01
10
10
00
10
10
00
00
11
00
01
11
11
00
10
10
00
10
11
00
00
00
00
11
10
10
10
00
11
11
10
01
10
00
00
00
11
01
11
10
10
01
10
00
11
10
01
00
10
10
00
01
00
01
11
01
10
00
10
11
10
10
00
00
10
00
11
10
10
01
10
11
11
01
01
11
11
00
00
10
00
01
10
11
00
00
01
00
10
00
00
10
11
01
10
11
10
10
01
01
10
10
00
11
10
00
00
11
10
10
00
00
10
00
10
10
01
00
10
01
10
10
01
00
00
00
11
00
00
11
10
01
10
00
00
01
10
00
00
00
10
10
10
11
00
10
01
01
00
11
11
01
00
10
00
01
10
11
01
00
10
00
01
10
10
00
01
11
10
00
11
10
11
10
01
00
10
11
10
10
00
11
00
11
10
10
10
01
00
11
10
10
00
00
00
01
01
11
11
01
00
10
10
00
10
10
00
00
00
00
01
10
00
10
10
10
01
11
10
10
00
10
11
10
00
11
01
01
00
00
01
11
01
00
00
11
10
01
10
10
00
00
10
01
10
11
00
00
00
10
00
10
10
00
00
11
00
10
10
01
10
01
00
11
01
00
01
00
00
10
00
00
10
00
00
00
10
11
00
01
11
01
00
01
10
10
00
10
11
00
10
10
00
11
10
10
01
00
11
10
11
00
01
10
10
01
10
01
01
10
10
10
00
01
10
10
01
11
00
10
10
01
00
01
00
10
10
00
11
00
01
11
00
01
00
11
11
10
01
00
11
10
11
11
00
00
10
00
00
01
10
00
01
00
10
11
11
00
10
10
00
11
00
10
10
11
11
01
01
10
01
01
10
00
10
11
11
01
00
10
00
10
10
01
00
10
01
10
01
10
00
01
00
01
00
01
11
10
00
11
00
00
00
10
11
00
11
00
01
11
00
01
00
10
10
00
00
00
01
10
10
10
01
00
10
01
10
00
10
10
11
10
00
11
10
10
10
00
01
11
11
00
01
10
10
00
10
01
00
00
01
00
00
11
11
11
11
01
10
01
00
00
01
10
10
00
01
01
01
00
01
01
01
00
10
00
00
01
11
10
00
11
00
01
00
01
00
00
11
10
00
00
10
01
10
01
11
10
00
00
00
00
00
10
00
00
10
10
11
10
01
11
10
10
01
11
10
01
00
01
00
11
00
10
00
10
10
00
00
10
10
11
01
00
00
00
00
10
00
10
11
00
01
11
01
00
11
11
00
01
10
10
10
01
01
11
00
11
00
00
10
11
00
01
11
00
01
00
10
00
11
10
00
00
10
10
10
00
01
10
00
00
00
00
10
01
10
10
11
01
01
00
10
11
01
00
01
00
11
01
11
00
00
01
10
10
00
01
10
01
11
11
10
00
00
00
10
11
11
00
00
10
10
00
10
11
01
00
10
10
10
00
00
01
01
10
01
10
00
00
10
10
01
00
00
01
10
00
00
11
11
01
00
01
10
00
01
10
01
11
10
01
00
11
10
01
11
10
00
00
01
10
01
01
00
10
10
11
10
11
00
00
00
10
11
01
00
11
00
10
10
00
10
10
00
00
11
10
10
10
00
10
01
10
10
00
10
10
00
10
00
01
10
10
00
00
11
01
00
10
11
00
00
01
00
10
10
11
11
00
01
00
11
10
11
10
01
11
01
00
11
00
00
00
10
11
01
10
10
00
01
00
01
11
00
10
01
00
00
00
00
10
00
01
11
10
01
11
00
11
10
00
11
11
00
01
01
11
10
00
10
00
10
10
00
00
10
00
01
11
01
10
10
00
11
10
00
01
10
11
01
10
11
01
11
01
01
11
11
01
00
00
01
10
10
01
00
10
10
11
00
00
11
11
10
01
01
00
00
10
00
00
10
10
11
11
00
00
01
11
10
11
00
01
10
00
00
11
10
01
11
10
11
10
11
00
11
10
00
01
10
00
10
10
00
11
00
00
00
00
10
11
00
10
10
00
01
10
10
00
00
11
00
10
00
00
00
01
00
11
00
01
10
01
10
11
11
00
10
10
00
01
00
10
10
01
10
01
00
11
10
00
00
10
00
01
10
00
00
10
00
11
10
01
10
01
11
00
00
00
00
11
00
11
10
00
00
00
10
01
01
10
10
01
00
01
01
10
10
00
10
00
00
10
10
11
00
00
10
10
10
00
01
01
10
01
10
11
00
01
11
11
11
01
00
10
10
00
10
10
01
00
00
10
10
01
10
10
01
11
01
10
10
10
00
00
11
10
11
11
01
01
00
10
11
11
10
10
00
01
01
10
11
10
01
00
00
01
10
10
10
10
00
01
10
00
10
00
00
10
10
10
00
00
11
01
11
10
01
01
00
00
01
10
11
00
00
00
11
00
11
00
00
11
10
11
11
10
01
00
00
10
00
10
11
01
00
10
01
11
11
10
10
00
10
10
00
01
00
10
10
10
01
10
10
01
00
10
00
00
11
10
10
00
10
00
00
00
00
10
10
01
10
11
00
10
01
11
10
11
00
01
00
10
10
00
11
11
00
01
00
00
10
10
10
10
10
11
00
01
00
01
10
01
00
11
10
00
01
11
10
00
11
10
10
00
01
10
00
00
10
11
01
11
00
11
10
00
00
01
10
10
10
00
10
10
00
10
00
01
00
00
11
10
10
10
00
11
01
01
10
00
00
00
00
01
00
10
10
10
00
00
00
00
10
11
10
10
10
10
00
10
10
10
00
10
10
00
00
10
00
00
11
00
10
11
10
11
10
10
10
00
00
01
10
00
01
10
00
00
01
00
10
11
00
10
11
00
10
00
00
10
00
10
00
00
01
10
11
00
10
00
01
10
10
10
10
01
00
10
00
00
00
00
11
10
10
00
10
00
11
00
00
10
11
10
11
00
00
01
01
10
11
01
01
01
10
10
00
10
10
10
00
00
11
00
01
11
10
00
10
01
10
01
00
11
01
11
10
10
10
00
10
10
10
01
00
00
00
10
11
10
11
11
11
00
00
11
10
00
01
10
00
10
10
11
00
00
10
01
00
01
10
10
01
00
10
10
00
00
00
00
10
01
01
00
00
11
00
10
11
01
00
11
00
10
10
01
00
11
11
00
10
00
11
10
00
00
11
01
11
11
01
01
00
10
11
00
00
10
11
00
01
00
00
00
00
10
10
10
00
01
00
00
10
10
00
00
11
01
01
10
10
00
00
10
10
11
00
11
00
11
00
00
11
01
00
00
11
10
11
01
10
00
00
10
10
00
00
00
10
11
10
00
00
10
01
01
00
10
11
00
01
11
11
11
01
01
01
10
11
01
01
10
00
00
10
11
00
00
10
10
10
00
00
11
10
11
10
11
10
11
00
00
10
10
11
00
00
11
00
11
00
00
10
11
10
00
11
10
10
11
00
01
10
10
10
00
00
10
01
01
10
00
10
10
00
00
01
00
11
10
10
11
00
11
10
10
10
10
00
01
10
00
10
10
00
10
00
11
00
10
10
00
00
10
00
10
10
00
01
00
10
10
10
10
01
00
11
10
00
00
00
10
00
01
11
10
11
00
01
00
00
00
01
11
11
10
00
00
10
00
10
01
01
00
00
11
11
01
10
00
10
10
00
11
10
00
00
00
11
10
10
00
10
10
00
10
11
01
10
11
11
10
10
00
00
11
11
01
01
00
10
01
10
10
00
00
10
01
10
11
10
00
11
01
01
00
00
10
00
00
01
01
11
11
00
00
11
10
00
11
10
01
00
00
00
10
01
10
10
01
00
11
00
11
10
00
01
01
10
11
01
00
10
00
00
10
10
01
11
01
00
00
10
11
01
10
10
01
10
00
01
10
00
01
00
10
01
10
00
10
10
00
01
00
01
10
01
01
11
01
11
00
10
00
00
10
00
11
11
00
10
00
00
10
01
00
10
10
00
11
01
00
10
11
00
10
00
00
11
10
00
00
11
00
00
00
10
00
10
10
10
11
00
11
01
00
01
10
10
00
01
10
10
00
00
11
10
10
01
10
10
10
11
10
00
10
01
00
00
10
10
11
01
10
11
11
10
00
00
10
00
10
11
00
10
10
01
10
01
11
10
10
00
00
01
00
00
10
11
00
10
10
00
10
10
00
01
00
10
10
01
10
10
01
01
01
00
10
11
10
00
10
00
00
10
10
01
01
00
10
00
10
01
00
11
10
00
10
10
11
00
00
10
00
00
10
11
00
10
10
00
01
00
11
11
00
00
00
01
11
10
00
00
11
00
00
11
01
11
10
00
11
00
00
11
01
10
00
10
00
10
11
00
11
00
10
00
00
10
11
11
00
01
00
10
00
11
10
00
00
10
00
11
10
10
00
10
00
01
10
10
10
01
10
10
00
10
11
00
00
10
01
01
11
10
11
10
00
00
01
11
11
01
00
00
10
10
00
00
10
01
11
11
11
00
00
10
00
00
10
10
01
11
10
11
11
01
01
01
00
01
00
10
00
10
10
00
00
11
10
00
10
10
00
01
10
01
00
01
00
10
10
11
10
00
10
10
11
01
01
00
01
11
11
00
10
00
00
10
00
10
11
11
11
00
00
11
01
10
01
00
10
10
10
00
00
10
11
10
00
10
00
10
11
01
01
10
10
10
10
00
00
11
10
00
10
01
01
01
01
00
10
01
10
00
00
10
01
10
10
10
10
10
10
11
11
11
01
11
01
11
10
10
00
00
11
00
00
11
01
00
01
01
01
00
00
10
10
01
00
00
10
10
01
01
11
10
00
00
00
00
10
01
00
11
00
10
01
10
00
11
10
01
11
10
01
10
01
01
10
10
11
10
00
11
11
01
11
00
00
11
00
01
00
11
10
11
01
10
01
00
00
10
11
00
11
10
01
00
00
11
10
10
00
00
11
00
01
10
11
00
10
10
11
01
00
01
00
00
10
01
10
00
00
10
10
00
10
10
00
10
01
10
00
00
11
10
11
00
01
10
10
10
10
10
00
10
01
00
11
01
10
01
11
10
10
10
00
10
10
00
10
10
11
01
10
00
01
01
10
00
11
10
10
11
10
00
00
10
00
00
01
10
11
00
11
10
10
01
01
00
10
11
00
01
10
11
10
10
00
00
00
10
10
00
10
10
01
11
00
00
00
10
00
10
11
10
11
11
11
10
01
00
00
00
10
10
10
00
00
00
00
01
10
01
01
10
10
00
10
00
10
10
00
00
10
10
00
10
10
01
10
00
00
00
00
00
00
01
10
01
00
10
10
10
00
00
01
10
10
01
10
00
00
10
11
01
00
11
00
11
00
10
01
00
10
11
00
01
00
10
11
11
00
01
11
10
00
00
00
00
10
11
10
00
00
10
01
01
11
10
00
00
00
00
00
10
11
10
00
00
10
10
00
00
01
01
10
01
01
10
00
00
10
10
11
00
00
11
10
01
11
01
00
01
01
00
00
11
01
00
00
10
10
00
10
01
11
11
10
10
01
00
01
01
10
10
00
00
10
00
00
10
10
00
11
10
11
00
11
10
10
00
10
00
11
00
00
00
00
00
10
01
10
10
01
00
01
01
10
01
10
10
10
11
00
01
10
10
11
00
00
11
10
00
00
11
00
00
10
10
01
00
11
01
00
10
00
10
11
01
00
10
01
00
00
01
10
00
10
00
00
00
10
10
10
10
00
11
11
10
11
11
11
01
11
00
11
11
01
00
00
10
10
10
10
00
11
11
00
11
11
00
11
00
01
00
11
11
11
10
00
00
10
00
11
00
00
10
10
10
00
00
10
01
01
10
00
10
10
00
00
10
00
00
00
00
10
01
01
11
11
10
00
00
10
11
10
01
10
11
00
00
11
11
00
01
10
10
10
10
01
01
10
10
01
10
01
00
10
11
00
10
00
11
10
01
01
01
11
11
00
10
10
10
10
10
10
00
10
10
00
01
00
10
00
00
11
10
01
10
01
00
11
11
01
10
10
00
10
00
00
00
00
10
00
11
00
10
11
11
00
00
00
00
11
01
10
01
10
01
00
10
00
00
10
11
10
00
00
01
11
10
11
00
00
10
10
10
01
10
10
10
01
10
11
00
00
10
00
01
10
11
00
11
00
10
00
00
10
10
00
10
10
10
00
10
11
00
11
01
00
01
00
01
00
00
00
10
00
00
10
11
10
01
10
10
00
11
00
00
01
10
00
11
00
00
10
00
10
11
11
10
00
00
00
00
11
00
10
01
01
10
11
10
01
10
11
10
10
00
00
00
10
10
00
10
00
10
00
00
01
01
11
10
01
10
00
00
10
11
10
10
01
00
10
00
01
10
00
11
10
00
00
10
10
10
00
10
10
11
01
00
11
00
11
01
00
10
10
00
00
10
11
00
00
00
00
11
10
11
10
01
10
11
11
11
10
10
11
10
00
00
00
01
10
10
00
11
10
01
10
10
11
01
01
11
10
00
01
10
00
01
00
00
00
10
00
00
00
10
10
11
00
00
11
01
11
10
00
00
11
10
11
10
01
10
00
10
10
01
11
11
10
00
00
10
00
11
10
10
00
11
10
10
11
00
10
10
00
00
00
01
10
01
10
00
11
00
01
00
10
10
00
00
10
01
00
00
10
11
10
01
00
10
01
10
10
00
01
00
11
10
10
11
10
00
00
10
01
11
11
00
00
10
01
10
11
11
11
00
00
01
00
11
10
00
11
00
11
10
11
00
10
10
00
10
11
10
01
11
10
10
01
01
10
00
01
00
10
01
10
11
10
00
00
01
11
11
10
00
01
10
01
00
10
10
00
10
10
11
10
00
01
00
00
10
00
10
10
11
11
10
10
00
10
00
00
10
01
00
01
11
11
00
11
10
01
10
11
10
11
00
10
00
01
01
01
11
10
00
00
10
01
11
10
11
01
00
01
00
11
10
01
00
11
11
11
10
00
10
10
10
00
01
11
00
00
01
00
00
10
10
00
11
10
10
00
01
10
11
00
01
10
00
10
10
10
00
10
00
10
00
00
11
01
00
00
11
00
00
11
10
10
10
00
00
00
00
10
10
10
11
11
00
10
00
01
11
10
10
10
00
10
10
01
10
11
00
00
10
10
11
01
00
11
01
10
10
00
10
11
11
10
01
11
10
10
10
01
10
11
00
11
10
00
00
10
01
00
01
10
11
10
00
00
00
11
00
00
10
00
00
10
00
10
00
00
10
01
11
11
01
10
01
00
11
10
11
00
01
10
00
11
00
00
00
11
10
10
00
00
00
01
00
10
10
01
10
00
10
10
11
00
00
10
01
00
00
00
10
10
00
00
11
00
01
01
11
11
10
01
00
10
11
00
00
10
00
00
10
10
00
00
10
11
00
11
10
01
10
10
01
10
10
10
00
00
11
10
00
10
00
01
10
10
01
10
01
11
10
00
10
10
10
11
00
00
10
11
01
00
10
01
00
00
11
10
00
00
10
00
10
11
10
00
00
10
10
10
10
00
00
00
11
01
00
11
01
10
10
11
11
00
11
10
10
00
10
10
00
01
10
10
10
00
10
11
11
00
00
11
00
00
00
10
11
00
11
00
10
00
11
10
10
01
00
11
00
00
10
10
00
10
11
01
00
11
01
10
10
10
10
01
00
11
10
01
10
00
01
10
00
01
01
10
01
10
01
01
10
10
11
01
10
11
01
00
00
10
01
10
00
01
10
10
10
11
00
11
10
00
01
10
00
00
10
11
10
01
00
10
10
01
10
01
00
11
00
11
10
00
00
11
10
00
10
10
00
11
00
01
10
10
00
00
10
10
10
01
10
11
01
10
10
11
10
00
00
10
01
10
10
01
00
00
00
01
00
00
10
00
00
10
01
10
00
10
00
00
10
00
11
10
10
00
10
10
10
00
10
11
11
00
11
00
01
00
11
11
11
01
01
11
01
01
10
10
10
00
00
11
00
00
11
00
10
10
00
01
00
10
10
10
10
00
10
01
00
10
01
01
00
10
00
00
10
10
10
00
00
10
10
10
10
00
00
10
00
00
00
01
00
11
10
01
11
10
00
11
10
01
01
01
00
00
11
10
00
01
01
10
00
00
10
11
00
00
11
11
01
11
00
11
01
10
11
11
01
00
11
00
10
00
01
10
01
10
10
01
00
10
00
10
11
10
00
10
01
00
10
01
00
10
00
00
11
10
00
10
10
00
10
11
00
10
11
00
10
01
10
00
00
11
00
10
00
10
01
00
01
10
01
10
00
00
00
00
11
01
00
00
10
10
10
00
11
01
10
01
10
10
00
11
00
00
11
00
00
00
01
00
00
00
10
10
00
01
10
11
10
01
00
00
10
10
10
11
01
11
00
10
11
01
10
00
00
10
10
10
00
00
00
10
10
10
10
00
11
10
01
00
01
10
00
00
00
01
11
10
10
10
11
11
10
01
00
01
00
11
10
11
11
00
10
10
11
00
01
00
01
10
10
01
01
10
10
00
01
11
00
00
10
00
00
00
00
10
11
10
00
01
00
11
10
11
00
00
00
00
10
01
10
11
10
10
00
01
10
00
01
11
11
00
11
11
00
00
10
11
00
01
10
01
00
10
10
11
01
00
00
11
11
10
10
01
00
10
10
00
00
10
11
11
11
01
00
00
01
10
00
00
10
11
10
00
11
00
00
00
10
00
01
11
00
11
10
10
00
10
11
00
10
10
10
11
10
00
00
00
00
11
11
10
00
10
10
00
00
00
11
11
00
10
10
10
10
00
00
01
10
10
00
00
01
10
10
00
11
01
11
01
11
10
01
10
00
00
11
11
00
01
11
10
11
10
00
01
10
11
00
11
00
00
01
10
00
00
01
10
11
00
00
00
10
10
10
01
00
00
10
11
11
01
10
10
00
11
11
10
10
00
00
10
10
01
10
10
00
00
10
10
01
00
00
11
10
10
10
01
00
00
00
11
00
00
00
10
10
01
00
11
11
01
10
00
10
10
01
01
11
00
00
00
00
10
01
10
01
00
00
10
11
11
10
11
00
10
00
00
01
10
10
00
00
00
01
10
00
10
01
11
11
00
11
10
01
10
10
10
00
00
00
10
10
10
11
10
11
01
00
00
11
10
00
00
10
10
00
11
00
00
00
10
10
00
01
01
00
10
10
00
01
11
01
10
11
10
10
11
10
11
00
01
01
11
10
00
01
10
11
00
00
11
10
00
00
00
10
00
00
10
01
00
11
01
00
11
00
00
00
00
10
10
00
00
01
00
10
00
01
00
01
11
11
01
00
10
10
00
01
11
01
10
00
11
10
00
10
10
00
11
11
01
10
10
11
10
10
11
01
00
01
10
00
01
01
10
11
00
00
11
10
10
00
01
10
00
01
10
10
10
11
01
11
00
00
00
10
11
10
01
11
00
00
11
11
00
11
10
11
10
10
01
10
11
00
01
10
01
11
10
00
01
00
10
10
01
01
00
10
10
10
00
00
10
10
10
00
00
00
01
10
10
10
10
11
00
00
00
10
11
10
10
01
00
10
00
01
10
10
11
11
11
00
11
00
10
10
01
10
10
10
00
00
11
11
11
11
00
10
11
10
11
10
00
00
11
10
11
10
00
10
00
01
01
01
10
10
00
00
10
11
01
10
00
00
10
00
11
10
00
00
11
10
01
10
10
00
00
10
10
01
00
10
00
10
00
01
01
01
11
10
10
00
01
10
01
01
11
00
00
10
00
01
11
01
00
10
00
10
00
00
10
10
00
00
00
10
01
10
10
00
00
10
11
00
00
00
01
10
01
10
11
00
10
01
10
11
00
10
01
01
11
11
00
00
01
10
00
10
11
01
01
00
11
11
00
00
01
00
11
11
00
01
10
00
10
01
00
10
11
01
10
10
01
10
10
11
00
10
10
01
10
00
10
10
00
00
00
00
10
11
10
00
10
10
11
01
01
10
11
00
00
01
11
00
00
00
11
10
10
10
10
00
00
10
10
10
00
00
00
10
00
00
00
11
00
10
10
00
00
00
00
10
11
10
11
10
00
00
10
10
00
10
10
10
10
00
10
11
10
00
10
10
00
01
10
10
10
01
11
01
00
11
00
00
00
10
00
01
10
10
10
00
10
10
10
10
00
00
01
01
00
01
11
10
00
11
00
00
10
01
00
01
00
11
01
10
00
00
10
10
11
10
01
01
11
00
00
10
00
11
10
10
10
00
01
10
01
10
11
00
00
10
00
01
11
00
11
11
10
10
10
11
01
10
10
10
10
00
00
00
10
10
00
00
00
10
01
10
01
01
00
10
00
10
00
00
10
10
00
00
00
10
00
01
01
10
00
10
01
10
11
01
10
11
00
00
10
10
00
10
10
00
11
11
10
00
01
01
00
10
11
01
00
11
10
01
10
10
10
11
01
00
00
11
10
11
10
10
00
00
10
10
10
01
01
10
00
00
00
01
00
10
10
00
10
10
00
01
10
10
00
00
00
10
10
00
11
11
11
01
00
10
11
10
01
01
10
11
00
10
01
00
11
10
00
01
00
00
00
00
10
10
00
10
11
01
11
11
00
01
00
11
10
01
10
10
01
01
00
10
00
01
00
11
00
01
01
00
00
10
11
00
00
11
10
11
01
11
00
11
00
00
00
10
10
00
10
10
10
01
00
01
11
00
01
10
11
01
00
11
01
00
10
01
00
01
11
10
01
01
00
00
01
11
01
00
10
10
10
00
01
11
11
10
00
10
00
11
10
10
10
10
00
01
00
00
10
10
00
00
11
11
00
00
11
11
00
01
00
11
00
11
10
10
01
00
10
10
10
01
01
11
00
00
11
00
01
10
10
01
10
11
00
10
01
11
11
00
10
01
10
00
00
10
10
00
00
10
11
00
10
11
10
10
11
00
11
11
01
00
10
00
10
00
00
00
11
10
11
10
01
00
10
00
10
10
00
10
10
11
00
00
00
00
10
10
00
00
10
11
00
01
10
10
01
10
11
11
00
10
00
11
10
10
01
01
10
00
00
11
01
00
10
00
00
10
00
00
00
11
00
10
01
10
00
00
10
10
10
00
10
00
11
00
00
11
10
10
10
10
00
10
10
00
01
11
10
11
10
00
10
10
00
11
10
00
10
00
10
11
00
01
01
11
10
10
00
10
10
11
01
10
00
01
10
10
10
00
01
11
10
01
00
01
10
10
11
01
01
10
00
00
00
11
10
00
01
00
01
10
10
10
00
00
10
00
00
10
01
11
01
01
11
10
01
10
11
00
00
11
11
01
11
00
00
10
00
01
10
00
00
10
10
00
11
10
00
00
01
10
00
10
11
00
00
00
00
01
01
00
10
10
10
10
00
10
11
11
00
10
00
01
10
10
00
01
10
11
10
10
10
00
10
00
00
10
01
11
11
10
01
00
01
00
10
01
00
11
10
00
11
00
01
11
10
11
00
10
00
10
11
00
01
11
10
11
00
10
00
11
10
00
01
10
01
00
00
00
01
10
10
10
01
11
00
00
11
00
10
10
11
10
10
00
00
01
00
00
01
11
11
10
00
01
11
00
00
10
10
01
10
10
00
00
10
10
10
01
10
00
10
00
11
00
01
10
00
00
00
11
00
00
10
01
10
01
00
00
01
11
11
00
00
10
00
10
00
11
10
00
00
11
10
11
01
00
00
10
00
00
10
11
10
01
00
01
00
10
10
01
01
11
01
00
10
10
11
11
01
01
01
11
10
10
10
00
01
10
10
01
11
00
01
10
10
01
01
10
01
10
11
00
00
10
01
10
11
00
11
01
00
11
00
10
10
00
00
00
10
11
11
10
10
10
10
10
01
00
01
11
10
01
10
00
10
01
01
11
10
00
10
11
11
11
01
00
01
10
10
00
11
10
00
01
01
01
10
01
10
11
11
00
11
10
01
01
00
11
00
01
01
10
11
00
01
10
01
11
10
10
00
11
10
00
00
11
11
00
00
01
01
10
01
10
10
10
01
11
10
10
00
00
10
00
01
00
11
01
00
00
10
10
10
10
00
01
00
10
00
10
00
10
10
00
11
11
10
01
00
00
00
10
00
10
10
11
01
01
00
01
00
00
00
11
10
00
10
10
10
01
11
00
00
01
11
11
00
00
11
10
00
00
00
11
11
00
10
10
01
10
01
00
01
10
00
11
10
10
11
00
00
00
00
11
10
00
01
10
10
11
10
10
00
11
10
10
01
00
01
11
00
10
10
10
00
00
11
00
00
10
00
00
10
00
00
00
10
00
10
10
01
10
10
00
01
00
10
10
00
00
00
01
11
00
11
00
00
10
11
00
11
10
10
10
00
00
00
01
00
10
10
11
01
11
10
01
10
11
10
10
11
00
10
00
10
11
11
00
01
11
11
11
11
10
10
00
01
10
11
00
01
00
10
00
01
00
11
00
10
01
01
10
00
10
00
00
00
10
10
00
10
10
11
00
00
00
11
00
10
10
00
10
00
10
10
11
00
00
10
10
10
01
11
01
10
10
11
10
10
01
11
10
01
00
10
10
00
01
01
00
10
10
00
00
00
10
00
00
00
10
10
00
10
10
00
10
11
10
00
11
10
00
11
00
00
00
11
10
00
11
01
00
10
10
10
11
01
01
00
11
00
01
00
10
10
00
11
00
01
10
01
00
00
00
00
11
10
00
01
00
10
00
01
11
01
10
11
00
10
01
00
10
10
01
10
00
11
00
11
00
10
10
01
10
11
10
01
11
11
10
00
10
01
01
11
01
00
10
10
11
00
10
10
01
00
00
00
10
00
11
11
00
00
10
10
11
01
11
10
01
00
10
10
00
01
11
11
00
01
10
11
01
10
01
00
00
10
11
00
00
01
10
10
00
10
10
10
00
00
00
10
10
11
01
00
00
11
00
00
00
10
11
10
01
01
10
01
00
01
10
11
00
00
10
00
00
10
01
00
00
00
00
01
00
10
00
01
10
10
00
00
00
11
11
11
00
00
11
10
10
11
01
01
01
10
10
11
00
00
01
10
10
00
00
10
00
00
10
01
00
10
10
01
00
00
00
10
10
10
11
11
00
00
00
10
00
00
11
00
10
10
01
10
10
00
00
00
10
00
10
01
00
01
10
00
11
10
00
00
10
10
00
01
11
11
01
10
11
10
00
00
11
01
00
00
01
00
10
10
00
00
01
10
11
11
00
11
10
00
10
11
00
00
10
10
00
10
11
00
10
10
00
01
10
10
11
00
01
10
01
11
10
10
00
11
10
11
00
00
00
01
11
11
11
11
00
01
10
10
01
11
00
00
00
10
00
01
00
10
10
00
10
00
01
11
10
10
10
10
01
01
00
00
10
00
00
01
00
00
10
01
11
10
01
01
10
00
10
10
01
00
01
01
10
01
00
11
10
11
01
00
10
10
10
00
10
10
00
00
11
00
01
00
11
11
11
10
00
00
10
10
00
01
11
10
01
00
11
01
01
00
00
11
10
10
00
00
10
00
00
11
00
00
01
10
01
01
10
10
01
00
11
01
10
10
10
11
01
01
10
11
11
00
00
00
00
10
00
00
11
10
00
00
10
10
10
10
00
10
01
00
10
10
01
01
00
10
11
01
01
11
10
01
00
11
00
00
00
10
00
00
11
10
10
00
00
10
00
11
10
11
01
00
00
00
00
10
00
10
01
00
10
11
00
10
00
01
10
01
00
00
01
10
00
11
10
01
10
00
10
10
10
10
01
01
10
00
01
10
10
01
00
10
10
11
10
10
00
00
10
01
10
11
10
00
11
00
00
00
00
10
10
01
10
01
10
10
01
00
10
11
00
01
00
10
00
00
01
00
00
10
10
00
11
01
10
11
11
10
00
10
10
01
11
01
00
10
01
10
10
00
11
00
01
00
10
10
10
00
00
01
10
00
00
00
10
11
01
00
10
00
00
00
10
00
00
10
11
11
00
10
00
10
10
10
10
00
10
00
01
00
11
10
11
00
00
00
00
11
10
11
00
00
00
00
11
01
00
10
10
11
10
01
10
01
00
00
11
01
10
10
10
01
10
01
10
10
01
10
10
00
10
10
11
10
00
11
10
00
01
00
00
00
00
11
10
00
01
11
01
00
01
11
11
11
10
00
01
00
01
00
10
00
00
10
10
11
10
00
11
10
10
10
00
00
00
00
10
10
00
11
11
10
10
00
01
00
10
00
11
10
01
00
10
01
11
00
01
00
11
00
00
01
11
00
01
00
10
10
10
10
01
01
00
11
10
00
01
10
11
10
01
00
10
11
01
10
10
01
00
00
11
11
10
00
01
10
00
00
10
00
10
10
00
00
10
01
00
01
01
00
10
01
00
10
10
00
10
11
10
10
00
11
10
11
10
00
00
00
00
10
11
00
11
00
11
00
11
01
00
10
10
10
00
00
11
10
00
00
01
00
10
10
01
10
00
00
11
10
10
00
10
00
11
10
00
10
00
00
00
00
11
10
00
00
00
10
10
00
01
01
11
10
00
00
11
10
00
10
11
00
00
00
01
00
10
00
10
11
11
10
10
00
00
01
10
10
01
10
00
10
10
00
01
11
01
10
10
10
11
11
01
11
11
10
10
10
01
00
11
11
11
10
10
01
01
01
10
11
10
00
01
00
01
10
01
01
11
11
10
00
00
01
00
10
10
01
00
10
11
00
11
00
11
10
00
11
11
11
01
10
11
00
10
10
00
00
10
00
10
10
10
10
01
01
00
11
00
00
10
00
01
00
11
11
10
00
10
11
11
11
00
10
00
10
00
10
10
00
00
10
11
00
11
00
11
11
00
01
00
10
10
10
00
00
11
10
10
00
00
01
00
00
10
10
01
10
10
10
00
11
00
00
11
00
00
00
10
10
01
01
10
10
00
01
01
00
00
10
01
01
00
00
10
10
00
00
10
10
10
10
10
00
01
10
00
11
10
01
10
11
11
01
10
10
11
00
00
01
01
10
11
00
01
00
10
10
00
00
11
00
10
11
10
00
00
10
00
00
11
00
10
01
10
10
00
00
01
11
10
00
10
01
00
11
01
11
00
01
00
00
11
11
10
11
10
11
11
00
10
00
10
00
11
11
01
11
00
10
11
01
00
11
00
00
01
10
11
01
10
10
00
00
11
00
01
10
10
11
10
10
10
01
00
01
01
10
00
00
10
00
10
10
00
00
10
01
10
00
10
11
11
00
10
11
00
10
01
00
11
11
00
10
01
00
00
00
11
00
10
00
10
11
00
00
10
10
11
00
00
11
01
11
00
11
01
00
11
00
10
00
10
11
01
01
00
01
10
10
01
00
01
10
01
00
00
10
10
10
10
00
00
11
00
11
01
11
01
01
00
01
10
11
00
00
10
10
11
10
10
00
00
10
00
00
00
10
00
00
11
00
11
00
10
00
10
11
00
10
10
00
00
11
00
00
10
11
10
11
11
00
01
10
10
11
11
00
01
10
01
00
11
01
00
10
11
10
10
00
01
10
10
01
01
00
11
11
00
10
10
00
10
10
00
10
10
11
10
00
10
01
01
00
00
10
10
10
00
00
11
10
00
01
11
10
01
10
11
11
00
00
10
01
00
00
10
11
00
00
00
01
00
01
00
01
10
10
10
00
01
00
01
11
11
00
11
00
10
10
10
01
00
11
10
11
01
00
00
10
11
01
00
01
11
11
11
00
00
00
00
10
00
00
10
10
11
10
00
11
00
10
01
11
00
10
01
00
10
00
11
11
01
10
11
00
01
00
00
11
00
00
10
10
01
10
10
00
01
10
10
01
10
11
10
11
00
01
00
10
10
01
10
01
00
10
11
00
10
01
11
01
00
10
01
00
10
10
10
00
01
00
10
00
01
00
10
00
00
00
00
00
10
10
01
00
10
00
00
01
10
11
01
00
10
01
00
00
10
10
11
00
00
10
10
00
10
11
10
00
11
01
01
00
01
10
01
00
00
11
01
01
00
10
10
01
10
01
11
10
01
10
10
10
11
00
00
00
10
11
10
00
00
11
11
10
00
01
11
00
11
10
10
00
01
01
10
00
10
01
10
11
00
11
01
11
00
00
00
10
01
00
10
11
00
10
11
11
11
10
00
00
10
10
00
10
11
00
01
10
10
00
00
10
00
11
10
00
10
01
10
00
01
10
00
00
00
10
10
00
00
11
00
10
10
01
10
01
00
01
00
11
00
00
00
10
11
00
00
10
00
00
00
10
10
00
10
10
00
00
11
00
01
10
00
00
10
10
00
00
10
10
00
00
11
00
00
11
11
00
01
11
00
11
00
10
00
00
10
00
01
10
11
10
10
00
10
00
00
00
11
00
10
10
01
00
00
01
11
11
10
11
00
00
00
10
11
00
01
11
01
11
00
10
00
10
11
00
10
10
01
00
10
10
00
10
00
00
10
10
00
01
11
11
01
01
10
10
10
10
00
00
11
10
00
00
10
10
00
01
11
01
10
01
11
00
00
10
10
00
10
11
00
11
10
10
10
00
11
10
11
00
01
00
00
10
10
00
00
10
00
11
10
00
11
10
11
00
00
11
10
01
00
00
10
10
10
00
10
00
00
10
00
00
10
11
10
11
10
10
10
00
00
01
01
10
10
10
11
01
00
00
00
11
11
01
11
11
01
10
10
10
10
01
01
00
10
01
11
10
00
10
11
11
11
00
00
10
11
10
00
10
01
11
10
10
10
11
10
11
01
01
01
00
01
10
00
00
10
11
10
00
01
00
11
00
01
11
01
00
00
01
00
10
11
11
00
10
00
00
10
00
01
11
10
10
11
00
00
10
11
00
01
10
00
11
11
10
10
00
00
10
10
00
10
00
00
00
11
00
00
11
10
10
01
00
00
00
11
00
01
10
10
10
11
01
10
00
00
10
10
00
10
11
01
01
10
11
10
00
11
00
01
11
10
00
10
01
10
10
00
00
10
10
00
10
00
01
00
10
10
00
10
11
11
00
10
10
10
00
11
10
10
11
00
11
00
00
00
11
00
00
00
01
10
10
01
10
10
10
10
00
01
00
10
00
10
00
01
10
11
00
00
11
11
10
11
11
00
11
10
00
01
10
11
01
11
10
00
01
10
01
00
11
11
10
01
01
10
10
00
00
10
00
01
10
10
00
10
00
01
00
10
00
11
10
00
00
11
01
01
00
10
11
11
11
00
10
00
01
00
00
11
10
10
00
00
00
00
11
11
10
10
11
00
00
00
10
10
11
00
01
10
10
11
10
11
00
00
10
11
00
01
00
00
10
11
11
11
00
00
10
10
01
01
00
10
10
00
11
11
00
11
10
10
00
11
10
00
00
10
10
00
11
11
00
01
00
01
00
00
10
00
10
10
00
00
10
00
11
01
10
11
10
01
00
01
11
00
10
01
10
10
10
10
10
10
01
11
10
10
10
11
00
00
00
00
01
00
00
10
01
10
01
10
10
10
01
10
11
01
01
10
11
10
10
10
01
00
01
01
01
01
11
01
11
00
00
10
01
00
10
10
00
10
10
10
10
11
11
00
00
00
00
00
10
11
10
01
10
00
11
00
10
00
00
11
00
00
00
10
11
01
11
00
11
10
10
01
00
10
10
01
00
10
00
01
10
10
00
10
10
10
00
00
00
10
00
00
11
00
10
00
00
10
00
10
10
01
01
11
10
11
10
00
10
00
00
00
10
11
01
11
10
00
11
10
00
10
11
00
00
10
00
11
10
00
10
01
11
00
11
11
10
01
00
10
11
00
10
01
10
11
00
11
00
01
01
00
00
10
00
00
00
10
11
01
11
00
10
10
00
00
00
10
10
10
11
00
00
00
10
00
11
00
10
00
11
10
01
00
10
10
10
00
01
10
10
01
10
00
10
10
11
10
11
00
01
11
10
11
01
11
10
01
00
00
00
00
10
10
00
00
01
01
00
10
10
10
01
10
00
00
00
01
01
11
11
01
01
00
10
00
00
10
00
10
10
11
11
10
00
00
10
11
01
00
01
10
00
00
10
10
10
10
00
00
10
11
10
00
00
00
01
10
10
00
01
10
10
10
10
00
00
01
00
11
01
00
11
10
11
01
01
11
01
01
10
10
11
00
01
10
11
00
01
00
10
10
00
00
11
01
00
01
01
01
11
00
00
10
10
00
00
10
11
11
00
01
00
11
10
00
00
10
00
10
11
10
00
11
01
10
11
10
11
10
01
00
11
00
00
11
10
10
00
10
10
10
00
00
00
00
10
10
00
01
10
10
00
11
01
01
10
10
10
11
01
00
10
10
10
01
11
00
10
10
01
01
00
01
10
10
01
11
10
10
00
00
10
01
00
10
10
01
00
01
10
11
10
01
00
00
00
11
10
11
01
00
10
00
10
10
10
10
00
10
10
00
00
11
00
11
10
00
10
00
11
00
00
10
00
10
11
10
00
00
01
01
00
00
10
00
11
00
00
01
10
11
00
01
00
10
00
10
00
00
01
00
11
10
01
11
00
00
11
00
11
10
00
11
10
00
11
10
00
10
00
01
00
11
01
00
10
10
11
11
11
00
00
00
10
00
01
11
11
00
10
01
11
00
00
10
10
10
00
11
00
11
10
10
10
00
10
00
01
11
11
11
00
00
00
00
11
00
00
11
00
00
11
10
10
00
00
00
10
11
00
10
10
00
00
00
00
10
10
10
01
00
10
11
10
11
01
00
01
11
10
10
10
00
11
00
00
00
10
00
00
10
10
00
00
00
00
10
00
10
10
00
00
10
00
00
10
00
10
10
10
00
00
00
01
00
10
00
00
10
01
00
10
00
00
00
01
10
01
00
00
10
00
00
10
10
00
11
00
01
11
10
10
01
00
00
01
10
10
01
00
00
01
10
11
01
01
10
10
01
01
10
01
00
10
11
10
00
00
11
11
11
00
01
01
10
01
11
10
11
00
01
00
00
11
00
00
10
01
00
10
10
10
10
10
10
00
01
10
11
10
11
00
00
11
01
11
10
10
00
10
00
10
11
00
10
10
01
00
00
11
10
01
00
10
10
11
01
00
00
11
10
01
01
11
10
10
00
10
00
00
00
10
00
00
00
01
00
11
10
00
00
01
11
00
01
00
01
01
00
11
10
00
01
00
01
10
10
10
01
10
11
01
00
00
10
10
10
11
00
01
10
10
00
00
00
10
10
00
00
10
01
11
11
00
00
00
00
00
11
11
10
10
00
00
11
11
01
01
00
10
10
00
01
00
10
11
00
01
01
10
11
00
10
00
00
10
00
11
00
10
11
00
00
10
10
01
01
11
10
00
00
00
10
10
00
10
11
00
00
00
10
00
00
00
11
10
01
10
10
00
00
00
10
00
01
10
00
10
10
10
00
11
00
01
01
11
10
01
00
01
11
10
11
11
01
01
00
00
00
11
10
00
01
10
11
11
00
00
01
00
00
10
10
10
00
01
10
00
11
00
10
11
11
00
00
10
00
00
10
01
11
10
01
00
11
10
00
11
00
00
10
01
11
01
00
10
00
00
11
10
10
00
11
10
01
10
10
11
00
01
00
00
10
00
01
01
11
10
10
10
00
10
10
01
00
10
00
00
10
11
10
10
00
10
00
01
11
11
10
10
10
01
10
00
00
10
01
11
00
01
10
00
11
11
10
10
00
00
01
10
10
00
00
00
10
10
00
11
11
10
00
10
10
10
00
10
01
11
11
00
11
11
00
01
10
01
00
10
00
11
10
10
01
11
10
10
11
10
10
00
10
11
00
10
11
00
00
00
10
00
00
11
11
10
10
11
00
11
11
01
00
01
11
10
00
10
00
00
10
00
11
10
00
01
01
01
00
10
00
01
10
11
10
00
00
11
00
00
00
10
00
10
11
00
11
01
01
10
10
10
00
00
11
10
01
00
00
10
01
10
10
00
11
10
11
01
00
00
10
11
00
01
11
10
10
01
00
10
10
01
01
11
11
00
10
10
00
01
00
11
10
10
10
11
00
01
10
11
11
00
00
00
10
10
10
01
10
10
10
11
00
01
10
10
10
10
10
00
01
10
11
10
00
10
01
10
10
01
00
11
10
10
00
00
11
00
00
10
11
11
10
10
01
00
01
11
10
00
00
10
11
01
10
11
00
00
10
11
10
11
01
00
01
11
00
00
10
11
00
10
10
11
10
10
00
00
00
01
10
00
10
00
10
00
01
10
01
00
11
00
10
11
00
00
10
10
10
00
00
10
11
00
10
10
01
10
00
00
10
10
00
01
00
11
01
00
00
10
00
00
01
10
11
10
10
00
00
10
00
01
00
11
01
10
00
00
10
10
01
00
10
01
00
00
10
10
00
00
00
01
10
11
00
10
10
00
00
10
01
00
10
10
00
00
10
00
00
11
10
10
10
01
01
10
00
11
10
01
01
00
11
10
10
10
11
01
00
10
01
10
11
11
10
11
00
11
00
10
00
01
00
10
10
00
10
10
10
00
10
00
10
00
00
00
00
00
11
00
11
01
01
10
10
00
10
11
00
00
11
10
01
01
11
00
01
01
00
01
10
10
10
00
00
10
10
00
10
10
00
00
10
10
00
10
10
00
01
10
00
11
00
00
11
11
10
10
00
11
10
00
00
00
10
10
00
10
00
01
11
11
10
00
10
10
10
01
00
10
11
00
11
00
10
10
00
10
10
11
00
01
10
00
00
00
11
00
10
01
01
00
00
01
11
11
01
10
10
01
10
00
11
10
00
10
00
00
10
10
11
01
10
01
10
00
01
11
10
00
00
11
10
00
00
10
10
01
00
10
00
11
11
00
11
00
00
00
00
10
10
10
10
01
00
00
10
00
00
10
00
00
01
10
11
01
10
11
01
00
11
00
00
10
10
10
00
00
11
11
01
01
10
10
10
10
00
00
10
00
11
10
00
10
11
10
10
01
10
11
10
10
00
00
10
10
01
00
00
00
11
10
00
00
00
10
11
01
01
00
11
11
11
00
01
11
00
10
11
00
10
01
01
11
10
01
00
10
00
00
10
10
10
00
00
10
10
10
10
00
00
10
10
01
00
10
01
00
00
10
00
00
10
00
01
10
10
00
00
11
00
00
10
11
01
00
01
10
00
10
00
01
10
10
01
00
00
00
00
10
00
10
10
10
01
00
00
11
10
01
00
01
11
00
10
00
00
11
10
11
01
01
00
01
11
10
10
11
11
00
00
01
10
10
00
10
11
10
00
00
00
01
01
00
00
10
10
11
01
00
11
00
11
11
10
10
00
00
00
11
10
11
01
01
10
10
11
11
00
01
00
01
00
10
10
10
01
01
00
10
00
00
01
10
10
01
01
11
10
01
00
10
10
01
10
00
10
10
10
00
01
00
10
00
11
00
01
10
10
10
10
10
11
10
01
11
10
10
10
10
00
00
10
01
01
10
10
10
11
00
10
11
01
10
00
10
11
01
00
00
10
10
10
00
10
00
00
10
00
10
01
00
00
10
11
11
11
00
11
11
10
00
10
11
10
00
00
00
10
11
00
00
10
00
00
00
00
11
10
00
10
00
11
00
00
01
10
11
00
00
10
10
11
00
01
01
11
11
00
10
10
10
00
01
11
11
00
00
11
01
01
10
11
00
00
00
01
10
11
00
00
10
11
00
00
00
11
11
10
00
11
01
00
11
11
00
11
11
00
10
10
01
01
10
10
00
00
00
10
00
00
10
10
00
00
11
11
10
01
10
00
10
00
01
10
10
00
10
10
10
01
10
01
10
01
11
11
01
00
00
10
10
11
11
00
01
11
00
00
00
10
00
00
10
00
00
10
10
00
11
11
00
01
00
00
00
10
00
10
10
10
11
01
00
00
00
00
01
10
00
10
10
01
10
10
10
11
10
01
00
11
01
10
10
01
10
11
00
00
10
00
01
00
01
00
10
10
11
10
01
01
10
00
01
00
10
00
00
01
00
00
10
10
00
10
10
10
00
01
00
00
00
10
00
10
10
01
00
00
00
00
10
10
00
00
01
01
01
00
00
10
10
10
00
01
11
00
10
10
00
00
01
10
10
01
10
11
10
11
00
01
00
10
11
01
01
10
10
00
10
00
10
00
01
10
10
10
10
00
01
10
00
00
11
11
10
11
00
00
11
01
10
11
10
11
10
11
00
00
11
11
11
01
10
10
01
00
01
01
11
01
11
11
01
00
10
00
00
10
10
11
00
00
00
10
10
11
00
00
01
00
10
10
01
10
10
01
00
01
11
00
00
10
00
00
10
11
10
00
00
11
11
11
00
01
11
01
00
10
10
11
00
00
10
10
11
10
11
00
10
10
00
10
10
00
10
00
00
00
00
11
10
11
01
10
11
01
10
10
00
01
10
10
00
00
00
00
10
11
00
00
00
00
11
10
01
10
11
10
00
10
10
11
01
01
10
10
10
10
10
00
00
10
00
00
00
11
10
11
01
00
10
00
11
10
01
00
01
11
11
10
10
11
01
00
11
10
01
00
01
01
10
11
01
10
11
10
00
00
01
11
00
11
11
00
11
11
00
01
00
10
11
00
00
10
00
00
11
00
10
00
10
10
10
00
00
10
10
00
11
10
00
00
10
00
00
10
11
00
10
11
00
01
00
10
10
01
10
11
00
00
00
11
00
00
10
01
01
10
00
00
00
10
00
11
10
10
10
01
10
11
00
10
10
00
01
00
00
10
10
10
00
10
10
00
00
11
00
10
00
00
00
00
10
00
10
10
10
11
10
01
10
01
10
00
01
11
11
10
11
01
10
11
01
00
11
10
01
00
10
00
00
11
10
00
01
10
10
11
00
00
00
11
10
00
11
10
01
00
00
10
11
00
10
00
01
10
10
00
01
01
01
11
11
01
10
00
00
00
00
10
10
11
00
10
00
00
00
10
10
11
00
01
11
00
10
10
10
01
10
10
00
01
00
00
10
11
11
10
11
10
10
01
00
10
00
01
00
11
00
11
01
01
11
10
00
00
00
00
01
11
11
10
10
00
00
00
01
00
10
01
10
10
11
00
00
00
11
00
11
10
00
10
00
01
00
01
10
11
11
01
00
00
11
00
11
10
00
10
00
00
11
00
00
10
01
00
11
10
01
00
10
11
10
11
00
11
11
11
00
01
10
10
00
00
10
10
00
00
00
10
11
10
11
10
10
10
11
10
10
00
01
00
10
00
10
01
01
10
00
11
11
01
00
10
10
01
00
10
10
00
00
00
10
00
10
10
00
00
01
00
10
00
10
00
00
01
10
10
10
00
11
10
11
00
00
00
10
10
00
00
00
10
01
00
10
11
01
10
00
01
10
00
11
01
00
00
00
00
10
00
00
11
10
00
01
00
00
00
00
00
00
11
10
01
10
00
01
00
01
00
11
10
00
11
00
00
10
01
00
00
11
01
00
00
00
11
00
00
10
10
01
11
11
00
10
11
00
01
10
01
01
01
01
11
01
11
10
10
10
10
11
01
00
10
11
00
00
00
00
11
10
10
00
10
01
11
00
00
00
10
00
00
01
10
11
00
11
00
11
00
01
00
11
00
00
11
10
10
00
00
10
10
10
11
01
00
10
10
01
10
00
00
01
10
00
01
10
11
00
00
10
00
00
01
00
10
10
10
11
10
10
00
10
11
00
10
10
01
11
00
11
10
00
00
01
01
11
10
00
00
01
01
10
10
00
00
11
00
10
10
11
10
11
01
11
01
00
01
00
10
10
00
00
10
00
11
11
00
00
00
00
01
00
10
01
01
10
01
00
01
00
00
10
01
00
10
00
10
11
10
01
00
11
00
00
10
01
10
10
01
10
10
11
00
11
10
00
00
10
00
10
00
00
00
00
11
10
00
01
00
10
00
00
11
10
11
10
10
10
00
00
10
10
11
10
01
00
00
00
10
01
10
01
01
00
10
10
10
10
00
00
11
01
00
10
00
00
01
00
11
10
01
00
00
10
10
00
01
00
00
10
00
11
10
01
10
10
11
00
01
00
10
10
01
10
11
10
11
01
10
00
00
10
11
00
01
10
01
00
11
11
00
11
00
10
10
00
01
00
10
00
00
11
00
11
10
10
01
01
00
11
00
00
01
00
10
11
01
00
11
10
00
01
10
00
10
10
00
10
00
11
10
01
10
10
00
00
11
10
11
00
00
10
10
10
01
10
01
00
00
01
11
00
10
10
00
10
10
00
00
11
00
00
00
11
10
00
10
01
00
10
00
00
00
10
11
10
00
00
10
01
10
11
00
10
01
10
10
00
00
00
00
00
10
10
10
00
00
10
01
01
10
11
00
00
10
11
10
00
10
01
11
11
11
00
01
01
11
00
01
10
01
00
11
11
00
11
11
10
00
10
11
10
00
10
00
01
00
01
00
11
11
01
00
00
01
10
00
00
10
10
11
11
00
00
10
11
10
11
10
11
10
00
00
00
11
10
11
00
00
10
10
00
11
10
00
01
00
10
01
10
10
00
00
11
10
10
00
00
10
01
10
11
11
10
10
11
10
00
00
10
10
00
10
00
00
10
10
00
00
00
10
10
01
10
10
00
00
11
10
10
10
01
10
01
00
10
00
00
01
11
00
01
10
10
00
00
11
10
10
11
10
01
00
11
00
11
00
10
10
00
00
10
11
00
10
10
10
10
11
10
11
10
11
10
00
00
01
10
00
00
10
10
11
01
01
10
00
00
10
01
00
10
10
10
10
00
00
00
00
10
11
00
10
10
11
01
11
11
10
10
10
11
01
01
10
10
00
00
00
11
10
00
00
01
10
01
01
10
00
10
11
00
00
10
11
11
10
10
01
01
10
01
01
00
11
00
10
00
11
10
11
10
11
10
11
01
10
00
00
00
11
10
00
01
10
10
01
10
11
00
10
01
00
11
01
01
10
10
01
00
10
11
00
11
01
11
10
00
10
00
00
10
10
00
00
00
10
00
01
11
01
00
11
11
10
01
01
01
01
11
11
01
10
10
10
01
00
00
10
00
00
10
10
11
00
00
01
00
10
11
10
01
00
11
10
10
10
11
10
00
10
10
10
00
00
00
10
01
10
11
00
00
11
10
10
01
10
10
11
00
00
11
10
00
10
10
00
00
00
10
01
01
11
10
10
10
10
10
00
10
11
00
00
00
11
01
10
10
10
01
11
11
00
10
10
11
10
00
01
10
01
01
10
10
10
11
00
01
00
01
00
11
10
00
00
10
01
01
10
00
10
11
00
10
00
10
00
01
10
11
10
10
01
11
10
00
10
01
11
01
10
00
00
00
01
11
00
00
10
00
00
11
10
10
10
00
00
11
00
11
00
10
11
01
11
11
11
00
10
01
01
10
11
01
01
11
00
00
10
11
00
01
10
10
00
01
00
10
10
01
00
00
10
11
10
11
00
10
11
00
01
00
01
10
01
11
11
00
10
00
10
01
01
11
01
01
01
11
10
00
00
10
00
01
10
11
10
10
10
00
01
11
00
00
11
11
10
00
00
01
10
11
01
10
10
00
11
10
00
00
11
10
11
10
10
00
00
11
01
11
10
00
00
10
11
00
00
11
10
00
10
11
01
01
11
01
10
11
10
11
10
00
10
10
00
00
11
01
11
00
00
10
00
01
11
10
00
01
10
11
10
11
00
00
00
10
01
01
11
10
00
10
00
10
11
01
01
11
01
10
10
10
01
00
10
10
00
11
11
10
11
00
11
01
00
10
10
00
00
10
10
00
10
10
10
00
10
00
01
00
00
00
10
01
10
00
01
00
10
11
10
10
01
00
00
10
00
00
01
10
10
00
01
11
11
00
01
11
10
00
10
10
10
11
01
00
10
00
01
01
10
10
01
00
10
00
00
10
10
01
11
11
10
00
00
00
00
10
01
10
10
11
11
11
00
10
00
10
01
00
10
10
00
10
10
01
00
00
10
00
01
00
10
10
10
00
10
11
00
10
10
01
00
10
11
01
10
01
00
10
11
11
11
00
00
10
01
11
00
00
10
10
01
10
00
00
10
00
00
00
01
10
10
11
10
00
01
10
10
11
00
10
10
10
01
00
11
10
10
01
10
01
10
01
00
00
10
01
01
11
00
00
01
10
00
00
11
11
11
10
01
00
01
00
00
10
10
10
00
00
10
00
00
01
00
11
01
10
00
01
10
00
10
10
10
11
00
10
11
10
00
10
10
00
01
11
00
10
10
11
00
00
10
00
11
10
01
00
10
10
01
11
11
00
00
01
00
11
10
11
01
11
01
11
10
00
01
00
00
10
11
00
00
11
00
11
10
10
01
10
10
01
11
11
01
11
10
10
00
00
01
10
10
01
10
11
00
11
00
10
00
11
10
00
10
00
10
10
00
00
10
11
10
01
01
11
00
11
10
00
01
10
11
00
10
10
10
00
01
11
10
10
00
10
00
11
00
00
00
10
01
01
10
10
10
00
00
10
00
10
00
01
00
00
11
00
11
10
00
00
10
01
10
01
11
10
00
00
10
01
10
00
10
10
00
01
00
01
01
10
00
10
10
00
11
11
11
00
11
00
01
01
10
11
00
00
11
00
01
10
10
10
10
11
00
10
11
00
10
11
00
01
00
00
10
01
10
00
01
11
10
01
11
11
01
00
00
10
11
00
00
10
10
00
10
01
00
11
00
00
10
11
11
10
10
00
10
11
00
00
11
10
11
10
01
10
10
00
01
11
10
00
01
11
00
00
00
10
10
00
10
10
01
11
00
10
11
00
00
00
00
00
01
11
11
00
01
00
01
10
11
00
01
10
00
10
11
01
00
01
10
10
00
01
10
10
01
00
10
11
10
01
11
10
10
00
00
01
01
00
10
00
00
11
01
00
00
10
10
10
10
11
00
10
00
10
11
10
00
01
00
10
11
10
00
00
00
10
00
10
11
00
11
01
00
10
00
01
11
00
01
00
11
00
11
10
10
01
10
10
01
00
11
00
10
10
10
00
10
00
00
10
01
00
00
00
00
10
00
00
01
00
10
10
00
11
00
10
01
10
00
10
10
00
00
01
01
11
00
00
10
10
11
10
10
10
11
00
10
00
00
10
00
10
10
11
10
00
00
10
01
11
10
00
11
01
00
11
00
01
00
11
00
11
10
11
11
00
00
11
00
10
10
10
00
00
10
10
10
01
00
11
00
10
10
01
00
00
11
10
10
11
01
01
00
10
01
01
10
00
00
11
10
00
10
10
00
00
11
01
10
10
01
00
00
10
00
00
00
00
11
10
01
10
00
00
01
11
10
11
01
00
11
01
10
11
00
00
00
11
10
10
01
01
11
00
01
00
10
01
01
01
11
00
01
00
00
00
10
10
00
00
10
10
00
10
11
00
10
01
00
10
10
01
01
00
11
11
11
00
00
11
10
11
00
00
10
00
00
11
11
00
00
01
00
10
10
11
01
11
00
00
10
10
00
01
10
10
00
00
01
10
11
01
00
10
00
10
10
00
00
01
11
10
01
00
01
00
00
11
11
11
00
00
10
10
11
00
11
10
00
00
00
10
00
00
10
00
10
11
00
10
10
10
01
10
10
00
01
10
10
11
00
00
11
01
11
00
10
01
10
00
00
10
10
01
11
10
10
10
00
01
10
00
01
00
10
10
10
00
00
00
10
10
01
00
10
00
11
11
10
00
01
11
10
00
10
11
10
10
00
10
10
01
11
00
00
10
10
10
10
10
00
00
10
10
00
11
01
10
00
11
01
00
01
11
11
10
00
00
01
10
10
11
01
11
00
10
00
00
01
11
10
01
00
11
10
00
00
10
00
01
11
01
00
11
00
00
11
00
01
10
11
01
11
11
10
10
01
10
01
10
10
00
00
10
10
10
00
01
00
10
10
11
10
10
01
00
01
10
00
00
00
00
01
00
10
00
10
10
10
00
01
00
10
00
10
10
00
10
11
01
11
11
00
10
00
01
01
00
10
10
00
01
01
10
00
00
10
00
10
11
10
01
00
11
11
00
01
01
00
00
10
10
00
01
00
10
10
00
01
11
11
00
00
01
01
11
11
00
01
01
00
10
10
10
00
01
11
01
00
00
00
00
00
00
10
10
00
00
00
10
11
01
11
11
00
10
10
10
11
01
10
10
10
00
11
11
00
10
00
01
10
10
00
00
11
10
00
01
00
10
00
00
11
11
00
10
11
00
00
11
11
00
01
00
10
00
10
10
10
01
00
01
10
00
00
10
00
00
10
11
11
00
11
10
10
10
11
00
01
00
00
01
01
00
00
10
10
00
10
11
10
10
11
01
00
10
11
00
00
11
11
00
10
00
01
10
10
01
10
10
00
00
00
00
01
10
00
11
11
00
11
00
00
00
00
10
11
00
01
11
10
00
00
11
10
10
00
10
11
10
01
10
10
00
10
11
10
10
00
00
00
00
11
10
01
10
11
10
10
10
01
01
11
00
00
10
01
11
00
01
10
10
10
10
10
10
00
10
00
11
10
10
00
00
00
11
11
01
10
10
01
00
00
00
00
10
01
10
11
11
10
11
00
11
10
00
01
00
01
00
10
10
10
10
10
00
10
00
00
11
01
11
00
01
00
10
10
00
11
11
00
00
01
10
10
00
11
00
01
11
10
11
01
11
01
10
10
10
00
00
11
00
00
11
10
01
00
11
00
10
11
00
01
10
00
00
10
00
00
10
11
11
01
00
00
10
01
00
10
11
10
01
00
00
10
10
00
10
00
00
00
10
10
00
10
10
01
01
10
00
00
00
00
11
01
11
10
00
00
01
10
10
11
00
01
10
10
10
00
00
00
01
11
00
10
10
01
10
11
00
11
00
11
10
11
10
00
00
11
10
00
11
00
10
10
01
10
10
10
10
10
00
11
10
01
00
00
00
10
01
00
00
11
01
00
00
10
11
10
01
01
00
11
11
00
01
00
00
10
10
10
10
01
00
10
01
11
11
01
00
10
00
11
00
00
10
11
10
10
10
10
00
10
00
01
11
01
00
01
10
10
10
01
00
10
10
00
00
10
11
01
11
00
01
00
00
00
11
00
00
10
10
01
00
01
10
00
10
11
11
10
00
00
00
11
10
00
01
10
10
10
10
01
00
10
00
01
01
10
00
00
11
10
01
10
10
01
10
10
00
01
10
00
00
10
00
00
01
10
00
00
11
11
01
00
10
00
10
11
01
00
10
01
01
00
00
11
10
10
01
00
10
10
00
10
00
00
10
00
00
01
11
11
10
00
10
11
11
11
00
00
01
11
10
11
01
00
10
11
00
01
00
10
00
00
11
01
10
10
11
11
11
01
11
11
00
01
10
10
00
00
00
10
00
00
00
00
00
10
00
11
10
11
00
10
00
11
01
11
10
00
01
00
01
10
10
10
11
00
00
10
10
00
11
00
10
01
00
01
00
10
11
00
10
00
11
10
01
10
01
10
10
00
10
10
00
00
10
10
00
10
00
10
10
10
10
10
00
01
10
00
10
01
01
10
10
11
01
00
11
10
00
11
00
11
10
00
00
00
10
00
10
10
00
11
00
00
10
11
11
10
01
10
01
01
00
00
10
01
01
11
10
00
00
10
10
00
10
10
11
10
10
01
11
00
01
10
10
10
01
01
01
10
11
01
10
00
00
11
11
00
01
11
01
11
10
00
00
10
11
10
01
00
01
01
10
11
00
01
00
10
10
00
00
11
11
00
00
00
11
10
00
10
10
01
01
00
10
11
10
10
11
01
00
01
10
11
10
00
10
00
10
10
01
00
00
10
00
10
10
10
01
01
11
11
00
10
00
00
10
00
00
10
00
11
10
10
00
11
10
11
10
00
00
10
00
00
10
00
11
10
10
10
10
00
01
10
10
01
00
11
10
10
10
11
10
00
11
00
10
10
10
00
00
11
10
10
01
00
00
11
10
10
01
10
10
01
01
01
11
00
00
11
01
00
01
00
10
10
00
10
10
10
01
01
11
00
00
11
10
01
00
11
10
00
00
10
01
11
00
00
01
01
01
10
10
11
10
00
01
00
01
11
10
10
00
11
01
00
11
10
00
00
10
00
01
10
10
10
00
10
00
01
10
01
10
10
01
11
10
00
10
10
10
10
00
00
10
01
00
11
10
00
00
00
10
00
00
10
11
00
11
11
00
10
00
11
10
11
00
10
10
11
01
00
11
10
00
01
00
00
10
10
00
10
10
10
00
01
00
10
10
10
01
10
11
10
00
00
01
01
00
01
11
10
01
11
00
10
10
10
00
10
00
01
10
00
01
00
10
11
10
10
01
00
01
10
10
00
10
10
11
00
11
10
00
00
11
00
00
01
01
11
10
10
00
00
11
11
00
00
10
01
10
11
01
11
11
00
11
10
10
01
01
11
00
01
10
10
01
11
10
00
01
10
10
11
01
00
01
11
01
00
01
11
11
00
00
10
10
10
00
11
10
10
01
00
10
00
01
10
01
00
00
11
00
10
10
11
00
11
11
00
10
00
00
10
11
00
01
00
10
00
10
00
11
10
01
11
10
11
01
10
11
00
01
11
10
00
10
01
10
10
01
00
11
00
01
10
10
10
10
00
00
00
10
10
10
11
00
00
00
11
10
10
00
01
00
10
10
10
11
00
10
01
00
01
00
11
10
11
00
00
00
10
10
00
11
10
10
00
01
11
10
01
10
01
00
00
00
10
10
10
00
01
00
11
00
00
10
10
00
00
00
10
10
00
00
10
11
10
10
00
10
10
01
00
00
00
11
00
00
10
00
10
10
00
00
00
00
10
10
01
11
00
11
00
01
10
10
00
01
00
10
00
00
00
11
00
01
01
10
11
01
00
10
11
01
00
10
10
00
00
00
10
00
01
10
10
01
10
00
01
00
10
10
10
10
11
01
00
10
11
01
10
11
10
10
10
10
01
10
01
00
10
10
01
01
10
00
01
00
10
01
00
11
01
00
11
10
00
10
10
00
00
10
00
00
10
10
10
10
10
01
10
01
10
10
11
00
10
10
00
01
00
00
10
00
10
10
10
00
00
01
00
10
11
00
10
11
00
10
00
00
10
01
11
00
01
00
00
10
00
00
10
01
11
10
01
10
10
01
11
00
11
11
10
00
00
11
01
00
00
10
10
01
00
00
10
10
10
00
10
10
01
10
00
01
10
00
10
10
00
10
00
00
11
00
00
10
00
10
10
11
00
10
10
11
00
00
11
01
00
00
00
10
10
10
01
00
10
11
10
11
00
00
00
00
00
10
10
01
01
00
10
00
10
00
00
11
10
10
01
11
01
11
10
01
10
10
10
01
10
11
00
01
01
10
00
10
11
11
01
00
00
11
00
10
00
11
01
00
00
00
00
10
00
00
10
00
00
11
01
10
01
11
00
10
00
01
01
11
10
10
00
00
01
10
11
00
01
10
01
00
10
10
10
00
00
00
10
10
11
00
00
01
00
10
01
10
10
11
10
10
10
01
01
11
10
00
00
00
10
00
00
10
01
01
10
00
10
10
00
01
10
10
11
10
00
00
01
11
11
00
01
00
10
00
10
10
00
10
00
00
10
01
10
01
11
11
10
11
10
10
00
00
00
00
00
00
10
10
10
10
00
00
00
00
00
01
10
00
00
10
10
00
00
11
00
00
00
10
10
10
11
00
01
10
00
00
01
01
00
00
11
11
11
01
00
01
00
11
10
11
00
10
10
00
00
10
01
01
11
10
11
01
00
11
11
00
11
10
01
01
11
00
00
00
11
10
00
01
10
11
11
00
00
11
00
01
11
10
10
01
00
10
00
00
00
00
11
00
00
10
10
01
10
10
00
00
10
10
11
10
10
00
00
10
11
10
00
00
00
01
11
00
00
10
11
11
00
11
01
10
11
00
11
10
10
01
11
10
00
00
11
11
00
01
11
10
00
00
00
10
11
10
01
00
10
00
00
00
10
00
00
10
10
10
00
00
00
11
00
00
00
00
10
11
00
01
10
10
00
11
00
10
10
11
01
10
11
00
10
00
10
10
00
00
00
01
11
11
01
01
00
00
10
01
11
11
11
00
00
01
00
10
01
01
00
11
11
00
11
10
11
01
00
10
10
00
00
10
10
11
00
11
00
00
10
00
10
00
00
10
00
01
10
00
11
10
00
00
11
00
10
10
00
10
00
10
00
00
11
01
00
01
00
00
00
10
11
10
00
00
10
10
01
10
00
01
10
01
11
10
01
11
10
10
10
00
10
11
00
10
00
11
10
11
10
00
11
11
01
01
00
11
10
00
00
10
00
10
10
11
10
10
00
01
00
10
10
00
00
10
10
00
00
00
01
10
10
01
01
00
00
01
11
01
00
10
10
00
10
11
00
01
10
10
01
00
11
00
01
10
10
00
01
10
10
00
01
01
11
00
10
10
11
00
10
10
00
00
00
10
11
00
00
10
01
01
01
10
00
11
11
10
00
00
10
10
00
11
10
01
10
00
00
00
10
11
10
00
01
01
10
00
00
01
01
00
11
10
00
00
00
11
10
00
00
00
10
10
00
01
10
10
00
10
00
00
10
10
11
00
10
00
00
00
10
11
00
11
00
11
10
00
11
00
00
01
00
10
10
00
00
10
11
00
10
11
01
11
00
01
01
00
10
10
01
00
00
00
10
00
00
00
11
11
11
11
01
00
00
11
00
00
10
10
00
01
10
01
01
10
00
11
00
01
01
10
11
10
00
00
00
00
00
10
11
10
00
00
10
10
00
10
10
10
00
10
01
10
10
11
11
11
10
00
00
00
11
10
11
01
01
00
10
11
10
00
01
11
10
10
00
01
10
10
10
01
10
10
00
10
11
01
00
10
10
10
00
01
01
11
10
01
00
00
10
00
00
10
10
10
10
01
00
11
00
11
10
01
10
00
10
10
00
01
00
01
11
00
00
01
11
10
10
00
00
01
10
00
10
10
00
00
00
00
11
00
10
10
10
01
00
10
00
10
00
11
10
00
11
00
11
11
01
11
10
10
01
01
00
00
10
11
00
00
10
11
11
01
01
00
11
11
01
00
10
10
00
10
01
00
10
10
00
00
00
10
00
10
10
11
01
00
11
00
01
10
10
10
10
01
00
01
11
01
10
01
01
10
01
01
10
10
10
01
10
11
01
00
10
10
11
00
10
11
10
10
01
10
11
01
00
10
00
10
11
10
01
11
00
00
10
00
10
00
00
10
00
01
10
10
10
11
00
01
00
00
00
00
10
01
11
10
10
01
01
01
00
10
01
10
10
10
01
00
10
01
00
00
10
01
00
00
00
10
10
10
11
00
01
10
00
10
00
00
10
00
01
00
00
10
01
10
11
11
00
10
10
01
10
00
01
10
10
11
10
00
00
00
00
00
10
01
01
00
10
00
10
10
01
11
11
00
01
11
00
00
10
00
10
10
01
10
01
00
10
10
10
00
10
10
00
11
00
10
01
11
10
00
00
00
10
00
11
10
10
10
01
10
00
01
11
00
00
10
00
01
00
01
10
00
00
10
00
01
10
10
01
10
10
10
10
10
10
00
00
00
01
01
10
11
11
00
01
11
01
00
10
10
00
10
10
01
01
10
00
10
10
01
00
11
10
00
00
10
11
10
11
00
10
11
00
10
00
01
00
10
00
00
10
00
11
01
10
11
00
11
00
01
11
11
00
01
10
10
11
01
01
10
10
01
00
00
00
10
10
00
10
11
10
10
10
00
00
00
10
11
01
00
01
00
10
10
10
00
01
10
00
01
10
10
10
11
10
10
10
11
11
11
10
10
01
00
01
01
00
11
11
00
10
00
00
11
00
01
01
11
10
10
00
01
10
10
00
11
01
01
00
10
10
11
10
00
00
10
00
01
10
01
00
00
11
00
10
01
00
10
00
11
01
01
00
10
00
00
01
10
10
00
10
00
10
00
01
11
10
10
10
10
10
01
01
00
00
00
00
11
10
00
01
00
01
10
10
10
10
00
10
11
00
10
00
00
10
00
10
10
10
00
10
01
00
01
11
01
00
00
11
10
00
00
10
11
11
00
00
10
10
00
10
01
01
10
00
11
10
11
01
00
00
00
00
11
00
10
11
11
00
10
01
00
01
10
00
00
10
11
00
11
10
00
01
11
00
00
11
00
10
00
00
10
00
10
00
00
11
00
10
00
10
11
00
00
11
10
10
11
00
00
01
10
00
00
01
10
10
01
10
11
10
00
10
00
10
11
00
00
11
11
10
10
00
10
00
10
10
00
10
00
10
00
10
00
01
00
01
10
01
10
00
10
10
01
10
00
00
10
00
00
11
10
10
01
10
10
11
10
00
10
10
01
00
00
00
01
00
01
00
10
00
11
10
00
01
10
00
00
11
10
01
10
01
11
10
01
11
10
00
10
10
10
10
01
00
11
11
10
10
10
11
01
01
10
11
10
00
11
00
01
00
00
11
00
01
10
01
00
01
11
11
00
00
10
10
01
00
11
00
00
11
00
10
11
10
01
00
01
01
10
01
00
10
10
00
10
10
11
00
00
00
00
00
11
10
11
00
00
00
11
00
00
11
10
10
11
10
01
10
11
10
00
01
10
00
10
10
00
10
11
00
00
10
00
10
10
00
10
10
11
10
00
11
00
11
01
10
11
00
10
00
11
10
01
10
10
10
10
00
00
00
11
01
10
00
10
10
00
10
10
00
00
00
10
01
10
01
00
11
00
01
00
10
01
01
11
11
10
00
00
10
00
01
00
10
10
01
00
10
10
00
10
10
11
11
11
01
00
00
00
11
11
01
01
11
01
11
01
00
10
10
10
00
00
00
10
00
10
10
00
10
10
10
11
10
00
00
00
10
10
00
10
01
00
10
00
00
00
10
11
11
01
10
00
11
00
11
10
01
01
10
00
11
11
10
10
10
00
11
10
10
10
00
11
00
00
00
11
01
10
00
01
10
00
00
11
11
00
01
10
11
01
01
00
10
00
10
10
01
10
00
10
00
01
11
00
01
00
11
00
00
11
00
01
11
11
00
00
00
00
11
01
00
11
10
00
10
00
00
00
11
11
11
01
11
00
00
10
10
10
01
00
11
10
00
01
11
01
00
01
10
10
00
00
10
10
11
01
00
10
00
01
10
01
10
11
10
01
10
00
01
10
10
00
00
10
01
01
10
00
10
10
00
00
00
00
11
00
11
00
01
00
01
00
00
00
10
10
01
11
11
01
00
10
01
11
00
00
11
10
11
10
10
10
11
10
00
10
11
01
00
10
11
11
01
11
10
01
10
00
01
10
10
10
01
00
11
10
01
10
00
10
00
01
10
10
11
01
10
11
00
00
00
10
01
00
11
00
11
10
00
10
00
00
10
10
00
10
10
10
10
00
00
10
10
10
00
00
01
00
11
11
11
00
00
01
10
00
01
00
10
10
00
00
11
00
01
10
10
10
11
00
00
01
11
10
10
10
00
01
00
01
00
10
00
11
10
00
00
10
11
11
10
10
10
01
01
10
01
00
00
00
01
10
10
00
01
10
10
10
10
11
10
11
00
00
11
10
01
10
10
00
00
10
10
00
01
10
10
00
01
00
00
00
01
01
00
11
10
01
01
11
11
01
01
01
00
11
01
10
10
10
00
01
11
10
10
00
10
10
00
01
10
10
10
01
00
01
10
10
01
00
00
10
10
00
00
11
11
01
10
11
10
00
10
10
00
01
10
11
01
01
00
10
11
00
01
11
10
00
10
11
00
10
10
00
00
10
10
10
01
10
01
11
10
11
10
01
00
10
11
10
00
00
10
10
01
11
11
00
00
00
00
11
10
10
00
00
01
00
11
10
00
01
10
11
01
10
11
00
11
00
00
10
11
10
00
00
00
00
01
10
10
00
10
00
00
00
10
11
00
10
01
01
00
00
00
10
01
00
10
00
10
10
00
10
00
00
10
00
10
11
00
11
01
11
10
11
10
00
00
10
11
11
01
00
10
11
10
10
11
00
00
11
00
00
11
11
00
11
10
00
11
10
00
10
11
00
10
01
00
10
10
00
00
00
10
11
10
00
10
00
00
00
00
11
11
11
11
10
10
00
10
10
01
00
11
10
10
00
10
01
00
00
10
01
00
10
00
11
00
10
00
00
11
11
10
11
00
10
00
01
00
10
10
11
10
00
00
10
00
00
10
11
10
10
10
11
00
11
11
01
01
00
00
10
10
00
00
00
10
10
01
10
10
00
00
11
10
10
00
10
01
00
00
01
11
00
10
01
10
00
10
00
11
10
00
01
11
00
11
10
00
11
00
00
10
00
01
10
10
10
10
00
10
11
00
01
10
01
11
10
00
01
00
10
00
00
01
00
10
11
00
00
00
01
01
00
10
10
10
01
10
00
11
10
10
10
00
00
11
00
00
11
10
10
00
01
00
10
11
10
00
00
11
01
00
10
10
01
01
11
11
01
00
01
00
10
11
10
01
11
10
00
00
10
10
10
00
01
11
10
00
10
10
01
11
11
11
00
11
01
00
00
11
10
00
10
10
10
11
01
01
00
10
01
00
10
10
00
00
10
01
00
00
00
10
10
00
10
00
01
10
00
11
10
00
00
00
10
00
01
00
01
01
01
10
00
00
00
10
11
00
01
00
11
10
00
00
10
10
10
01
10
11
00
00
00
01
10
01
00
10
00
10
10
11
00
01
00
11
01
10
11
11
01
01
00
10
00
11
11
11
10
00
00
00
11
10
00
00
11
11
01
10
10
01
10
10
10
10
01
00
01
01
00
10
01
00
00
11
01
10
01
00
10
10
10
00
10
10
10
01
01
00
10
00
00
00
11
00
01
00
10
10
10
11
00
00
11
00
10
10
11
01
01
01
10
11
11
00
00
01
01
00
00
10
10
10
10
00
10
10
00
00
01
01
10
10
11
00
10
10
00
00
00
11
00
00
10
01
10
00
10
10
01
00
10
11
10
01
11
00
01
00
10
00
01
10
10
10
00
11
10
10
00
01
10
11
10
00
00
10
01
01
00
11
00
01
00
10
11
01
10
10
00
00
00
10
11
11
10
00
10
10
01
00
10
10
00
11
10
11
00
01
01
01
01
11
11
01
01
10
01
00
10
10
00
00
00
10
10
10
10
10
10
00
10
00
01
00
11
11
10
00
11
10
01
10
10
10
00
01
10
00
11
10
00
00
10
01
00
10
10
00
10
11
11
10
10
01
01
01
11
00
01
10
11
00
00
10
01
01
11
00
11
00
10
00
01
00
11
10
10
00
10
00
00
00
10
10
10
10
00
00
01
00
00
00
01
10
00
00
10
01
10
11
11
11
00
10
00
10
00
00
10
11
11
01
11
11
01
01
00
10
11
11
00
01
11
11
11
00
01
10
10
00
01
10
11
01
00
00
00
10
10
10
00
00
11
01
00
11
00
00
11
10
01
01
10
10
11
10
01
10
10
00
00
11
11
10
00
10
00
10
10
10
00
11
10
01
01
10
11
01
00
01
00
01
10
00
00
11
11
11
11
01
11
00
10
11
00
10
10
10
01
11
00
00
00
00
00
00
10
10
00
00
00
11
00
11
00
10
10
10
10
00
10
10
00
00
00
00
11
00
00
10
11
11
11
10
10
01
11
00
01
11
10
00
10
10
00
11
01
10
00
00
10
01
01
10
11
00
10
01
00
01
10
10
00
10
11
11
00
00
00
10
10
11
00
00
01
10
10
11
10
00
01
10
10
10
01
00
00
01
00
01
10
10
10
10
00
10
11
00
00
11
10
00
10
10
00
01
00
01
00
00
11
00
01
10
01
11
10
10
10
11
01
01
11
01
00
10
00
00
10
10
00
00
01
00
01
10
10
11
01
00
10
01
01
11
00
10
10
00
00
10
11
00
00
10
00
11
00
00
10
11
00
11
01
11
00
11
00
00
01
11
10
01
00
01
10
00
00
00
10
10
00
00
11
10
10
01
10
10
00
00
00
00
10
10
10
10
10
00
01
10
01
01
00
10
11
00
10
01
00
10
01
00
11
01
01
01
11
10
00
00
11
10
00
10
11
11
01
10
00
10
10
00
00
10
10
00
11
00
10
00
10
01
10
10
00
10
10
01
10
10
01
01
11
00
01
11
10
00
00
10
00
00
10
00
00
00
11
00
00
10
01
10
10
00
00
00
10
10
01
01
01
00
10
10
10
00
00
10
10
01
00
10
11
10
00
11
01
11
10
00
10
10
01
01
10
10
00
01
10
11
10
01
10
00
11
00
00
11
00
01
01
10
10
00
01
11
10
00
00
10
00
10
10
10
00
10
00
11
00
00
10
10
00
10
01
00
11
11
00
10
00
11
10
00
00
00
01
00
00
00
10
10
10
00
11
00
10
10
01
10
01
01
01
00
00
10
10
00
00
00
10
10
00
10
00
10
01
01
00
10
01
01
00
00
10
10
00
00
00
01
01
01
00
10
10
10
11
11
10
10
01
00
11
01
10
00
10
11
00
00
10
00
00
01
00
11
10
11
01
00
00
00
11
10
00
01
11
00
11
00
01
00
10
11
11
10
01
10
00
10
11
01
10
00
00
10
01
00
00
10
10
01
01
00
10
10
00
11
00
01
10
01
00
00
00
10
10
01
10
01
00
11
00
10
10
01
11
00
00
10
01
00
11
10
00
00
11
01
10
00
00
10
10
01
01
11
10
11
10
00
01
00
10
00
00
10
00
10
00
11
10
01
00
11
10
11
01
01
00
10
00
00
10
11
10
00
10
00
10
01
00
00
11
10
01
01
00
10
00
10
00
01
00
10
11
01
11
00
11
00
11
10
11
00
01
10
00
11
10
01
10
00
01
10
10
10
00
01
10
01
00
10
10
01
00
01
00
10
10
11
01
00
10
00
10
01
10
10
01
11
00
11
10
10
00
10
11
10
11
01
10
00
00
11
00
11
10
10
11
00
00
11
10
10
00
10
10
00
10
00
10
11
10
11
10
01
01
10
11
10
00
01
10
01
10
10
00
10
10
00
00
10
00
00
00
10
11
00
00
00
00
01
00
00
11
00
10
01
11
00
01
00
00
11
10
11
01
10
11
01
10
11
10
00
00
00
11
10
01
00
10
10
00
10
10
10
01
11
10
00
10
10
00
10
00
10
10
00
00
00
00
00
10
11
00
00
00
00
01
00
01
10
00
11
00
11
10
00
11
10
11
10
01
00
10
00
00
00
10
01
00
11
00
01
00
11
01
10
00
01
00
10
00
10
10
10
10
10
00
01
10
10
11
11
00
00
00
00
01
10
00
01
10
00
01
00
10
01
01
00
11
00
00
11
00
10
00
01
10
00
10
11
01
00
10
10
11
01
10
11
00
11
10
00
01
00
10
10
00
01
10
00
00
10
10
01
10
01
01
11
00
10
10
01
00
10
10
00
00
00
00
10
10
01
11
10
01
00
11
00
10
00
00
10
01
01
10
10
01
00
01
10
10
10
10
00
00
00
11
11
00
00
11
10
11
10
01
00
10
01
00
00
10
10
00
00
10
10
10
00
10
10
10
00
00
00
10
10
01
00
11
01
01
11
00
00
11
10
00
00
11
10
10
00
11
11
01
00
00
10
00
11
01
01
11
00
11
10
00
00
01
11
11
00
00
00
10
11
00
01
10
00
00
10
00
10
11
00
00
10
10
00
10
10
01
10
11
11
10
10
10
10
10
00
10
00
00
10
11
11
01
00
10
00
00
11
11
10
10
10
01
10
10
01
00
00
10
00
10
01
11
10
11
00
11
10
11
11
10
10
01
11
11
00
10
01
10
00
01
10
01
00
00
11
01
01
11
11
00
01
10
00
11
10
01
01
00
11
01
10
00
11
10
10
00
01
10
11
00
00
00
10
01
10
10
10
11
11
11
10
00
11
10
10
10
00
00
01
00
01
11
10
10
10
11
10
01
11
10
01
10
00
01
00
11
00
00
11
10
10
10
11
01
11
10
00
10
00
10
10
01
10
11
00
11
10
00
00
01
10
10
00
01
01
10
11
01
00
00
11
11
01
10
00
00
10
10
01
00
10
10
10
01
10
00
00
10
11
00
10
10
10
11
10
10
10
10
00
00
10
11
00
11
01
00
11
00
01
11
10
00
01
00
11
00
10
11
00
11
11
10
00
00
00
00
00
00
10
11
01
11
10
01
01
11
00
00
10
11
00
10
10
11
01
01
00
11
10
10
01
00
10
10
00
10
10
00
10
10
10
00
10
10
01
11
10
01
10
01
00
00
10
10
00
10
10
01
00
01
01
11
10
11
00
00
11
10
10
10
00
00
00
00
01
10
11
10
10
00
11
11
00
00
10
10
00
10
10
10
10
01
00
00
10
11
10
10
00
00
00
01
00
11
11
10
01
10
00
00
11
10
11
10
00
11
11
10
00
00
11
00
00
10
00
10
10
00
00
00
10
10
10
10
00
00
10
11
10
11
00
00
00
11
00
10
10
01
10
11
01
10
00
10
10
00
10
01
10
00
01
01
11
00
10
00
00
01
10
01
00
01
10
11
00
01
11
10
11
00
00
10
10
11
10
01
00
00
00
11
10
01
10
10
01
00
00
10
10
01
00
00
00
00
10
00
11
10
01
00
10
10
10
00
10
11
01
00
01
00
00
11
00
01
01
10
10
10
01
00
11
10
10
00
10
01
00
10
10
11
00
01
01
10
01
00
00
01
10
10
11
00
01
11
00
10
11
10
11
10
01
00
10
01
10
10
01
01
11
10
01
00
10
10
10
10
10
11
00
10
10
10
01
10
00
10
10
10
11
10
10
10
00
10
00
00
11
00
00
10
11
00
00
10
10
10
00
01
00
01
11
01
10
01
01
00
00
10
10
00
11
00
10
00
10
00
00
00
01
11
00
10
01
00
00
10
01
01
10
00
10
10
11
00
10
10
00
01
00
00
01
11
00
11
11
00
10
11
10
10
10
10
11
10
10
00
00
10
00
11
01
00
10
01
11
01
00
01
10
10
00
10
11
00
00
10
10
00
10
00
10
11
01
00
10
10
11
00
01
01
10
11
11
00
11
01
01
10
00
00
01
10
10
01
10
10
00
11
00
00
00
10
10
01
11
01
00
10
10
10
01
11
00
01
10
10
01
10
01
11
00
00
10
10
00
00
10
10
10
10
10
10
01
10
11
10
11
10
10
10
00
11
10
00
11
10
00
01
10
10
10
00
01
01
01
01
10
10
00
00
10
00
01
00
11
00
10
10
00
01
00
10
00
00
11
11
00
00
00
00
11
10
11
00
00
10
01
11
10
11
10
00
10
00
01
10
11
00
00
11
10
11
10
00
00
01
11
11
10
01
11
00
10
10
00
10
10
11
01
00
00
10
10
00
01
11
10
11
00
00
10
10
11
10
10
00
00
01
11
00
00
00
10
01
00
00
10
10
00
01
11
10
00
10
00
00
11
10
10
11
01
01
01
00
10
10
11
00
01
10
10
00
00
10
01
00
00
11
10
00
10
00
00
11
11
10
10
00
11
00
10
10
00
00
10
10
10
00
10
01
10
11
10
00
01
11
10
11
01
00
00
10
00
11
01
11
10
10
00
10
10
01
11
00
00
10
10
11
00
01
00
11
10
00
11
11
00
10
10
01
11
00
00
00
00
10
00
00
01
11
11
10
00
10
00
10
01
00
10
00
01
00
01
00
00
10
00
10
00
00
10
11
10
00
10
10
11
00
01
11
11
10
01
10
11
00
00
10
00
00
10
10
01
00
00
01
10
00
10
10
00
10
10
00
10
10
10
11
10
00
11
01
10
10
10
10
10
10
00
01
11
10
01
10
10
01
00
00
01
01
00
00
10
11
10
10
10
10
00
10
00
10
00
10
10
01
11
00
10
10
00
00
01
10
10
00
00
00
00
10
01
11
11
10
11
01
10
10
00
10
10
10
00
00
01
11
00
00
10
11
01
11
11
10
01
00
01
10
00
00
10
11
01
10
11
11
00
11
11
00
01
00
11
10
01
00
10
00
01
10
10
00
10
10
00
11
00
00
10
11
00
11
10
01
01
10
00
10
01
00
00
11
00
00
00
11
00
11
00
10
11
01
00
11
11
00
01
00
00
10
11
01
00
00
10
10
00
10
10
00
00
00
01
10
00
10
01
11
10
00
00
10
10
00
00
10
10
10
01
00
10
00
10
00
10
00
00
10
10
11
00
01
10
10
10
10
11
01
10
10
10
11
00
00
00
00
00
00
00
10
10
00
10
10
01
00
00
10
10
11
10
00
01
00
11
01
10
10
11
01
11
00
00
00
00
10
11
11
01
01
11
10
00
00
10
00
10
11
00
01
10
01
10
10
11
01
01
10
10
00
11
11
00
00
01
00
10
00
01
10
00
10
10
00
10
10
10
01
00
00
10
10
10
00
10
01
11
10
01
00
10
10
00
00
00
10
10
10
11
10
00
10
00
10
00
00
00
10
11
00
10
01
00
10
01
00
00
00
11
11
00
00
11
10
01
10
10
11
00
10
00
11
11
00
00
10
00
00
01
01
00
01
00
00
10
10
10
00
00
11
00
00
01
00
10
00
00
01
10
11
11
11
11
00
10
00
01
10
10
01
01
00
00
01
10
10
01
00
11
10
00
11
10
01
00
11
10
10
10
00
10
00
10
10
10
01
11
00
10
01
00
11
00
00
11
01
01
00
10
10
00
10
10
10
01
00
00
10
01
01
00
10
11
01
00
00
11
11
10
00
00
00
10
10
00
11
01
10
00
00
10
01
10
01
10
11
11
00
00
10
11
00
01
10
00
01
01
00
00
01
11
10
11
10
00
00
00
01
00
01
11
00
11
01
00
10
10
00
00
10
10
10
01
11
00
11
10
10
00
00
00
10
11
00
01
11
00
10
01
01
11
00
10
00
00
10
10
10
01
01
10
10
00
00
11
10
10
10
00
01
01
00
01
10
10
00
01
10
10
10
00
10
11
10
10
01
00
01
00
10
10
00
01
01
00
11
00
01
00
10
10
10
00
10
10
01
01
10
00
10
10
01
10
11
10
10
00
01
11
10
11
00
00
11
01
01
10
00
00
00
01
00
10
10
01
10
10
10
10
00
00
10
10
11
00
10
00
10
01
01
10
10
10
00
10
00
11
00
00
00
00
10
01
11
10
00
00
11
01
10
01
01
00
01
01
00
10
00
11
10
00
00
11
10
11
10
00
10
00
10
11
11
00
11
00
10
00
10
11
10
00
00
00
11
11
00
01
10
11
01
10
10
01
11
11
01
01
11
10
00
00
00
10
00
00
10
01
11
10
10
11
10
00
01
10
10
10
01
00
00
11
01
01
00
01
10
11
11
00
00
10
11
00
10
11
10
01
11
10
01
10
00
00
10
10
10
10
01
10
10
01
10
10
00
00
00
00
10
11
01
01
10
00
10
00
01
10
11
01
00
00
11
10
00
00
10
10
10
00
10
10
01
00
01
11
00
10
01
11
01
00
11
00
01
00
00
10
10
01
01
10
11
00
00
10
10
00
11
11
01
01
00
10
01
01
10
10
00
00
00
01
10
10
11
00
11
10
00
00
10
00
10
10
11
01
00
10
10
10
11
10
00
00
11
10
00
00
10
00
01
10
00
00
00
10
10
00
10
00
10
11
11
11
10
00
01
10
11
11
11
11
10
11
10
01
00
11
10
01
00
10
10
01
10
10
10
00
11
11
00
00
00
10
00
00
10
01
10
00
00
10
00
00
01
11
11
01
01
01
10
00
11
10
00
01
10
10
10
10
01
00
01
00
00
11
10
10
00
10
10
10
10
10
01
00
11
10
00
00
10
10
00
00
11
11
00
00
11
01
01
11
11
01
11
11
00
00
10
11
00
00
10
11
10
01
00
01
10
00
00
00
00
11
10
10
10
01
10
10
00
00
00
00
11
10
00
10
01
10
10
00
01
10
10
01
10
10
11
01
11
11
01
00
00
10
11
00
00
11
10
01
10
11
01
10
00
11
11
00
10
11
10
01
00
00
10
11
10
01
11
11
00
01
00
10
01
01
11
10
00
01
10
11
01
00
10
10
10
11
11
00
00
11
00
00
01
10
11
10
00
01
00
10
00
10
11
11
01
10
11
01
00
10
01
00
00
10
11
11
00
00
10
00
00
00
00
00
10
10
10
00
00
11
10
10
10
00
01
00
00
01
10
00
10
00
10
00
00
00
01
11
10
10
10
00
00
11
10
10
00
11
00
11
00
10
10
10
10
10
10
01
10
00
00
00
00
01
11
01
10
10
01
00
10
10
10
01
01
10
01
10
00
10
10
00
01
10
10
00
00
11
01
00
01
10
01
11
00
00
01
10
00
10
10
11
00
00
10
10
01
10
10
00
00
00
01
10
11
10
11
10
11
10
00
00
11
10
00
10
10
10
00
00
00
10
00
01
11
10
01
01
01
00
00
10
00
10
10
01
00
00
10
11
11
10
00
00
01
10
01
01
10
10
10
10
00
01
01
11
10
00
10
10
10
01
00
11
10
10
01
00
11
10
10
11
00
11
10
00
11
11
10
11
00
00
00
00
11
10
00
00
10
10
00
01
10
11
01
01
01
10
10
00
01
10
11
00
00
01
10
00
10
11
00
11
11
10
00
10
10
01
10
10
00
00
10
10
10
10
01
00
01
10
10
10
10
10
00
01
10
10
01
01
01
10
10
01
10
11
00
10
10
00
00
00
00
11
00
00
10
11
00
00
10
10
11
00
11
00
11
10
10
11
01
11
10
11
00
11
01
01
10
10
00
10
10
10
10
00
01
10
10
10
10
00
11
10
00
10
10
00
10
10
00
01
10
10
00
01
01
11
01
01
00
00
00
10
10
00
11
00
11
01
01
01
10
10
01
00
10
10
00
00
00
10
00
10
00
01
10
11
10
00
10
11
00
00
00
10
01
10
01
11
00
00
01
01
00
10
11
00
00
00
10
11
01
11
10
10
00
01
01
00
01
00
10
11
10
00
10
00
00
11
10
11
00
00
11
10
01
01
10
10
00
01
11
00
10
11
10
11
10
00
01
01
10
00
11
10
00
01
10
11
10
10
10
01
10
10
11
01
01
11
11
10
01
10
11
00
01
10
10
10
11
11
00
00
10
00
00
00
01
00
01
01
10
01
10
00
00
00
10
00
01
10
00
00
10
10
01
00
10
00
10
10
00
01
10
10
00
00
00
10
10
01
00
11
01
00
01
00
10
10
01
00
10
10
00
11
01
00
00
10
01
00
11
10
01
10
00
10
10
00
10
10
10
10
01
01
00
00
10
00
01
10
00
00
11
10
00
00
10
01
10
10
11
01
11
10
10
00
00
11
00
10
11
01
10
00
10
10
10
01
00
00
01
11
10
00
10
11
00
00
10
11
01
00
01
00
11
00
11
10
00
11
10
10
00
00
00
10
10
00
00
00
11
10
10
01
01
10
10
10
01
10
10
10
00
00
01
11
11
01
10
00
00
00
10
00
00
10
10
00
00
00
11
10
00
11
00
00
00
01
00
11
11
11
11
01
00
10
00
01
10
10
01
01
01
01
10
11
10
10
11
01
00
10
10
00
00
10
11
00
11
10
10
00
11
10
01
11
10
00
00
11
10
01
01
11
10
11
00
10
00
00
11
00
00
10
10
00
00
11
10
10
10
11
00
10
01
00
10
00
00
00
10
00
00
11
11
10
01
10
01
00
00
10
10
00
00
10
10
10
10
11
10
10
10
00
00
11
00
10
10
00
10
10
00
01
00
00
00
10
01
00
10
10
10
10
10
00
01
00
01
00
01
11
11
00
01
11
10
00
01
10
00
01
10
11
00
01
10
00
00
00
11
11
01
00
10
10
10
10
00
11
10
00
01
01
10
10
11
01
01
00
00
00
00
10
11
10
01
11
10
11
01
00
00
00
00
01
00
10
10
01
10
01
11
10
01
00
00
01
01
11
00
00
10
11
10
11
01
00
10
10
10
10
00
11
10
00
00
10
00
10
11
00
00
10
10
00
00
01
11
10
10
01
10
10
10
11
10
10
00
01
11
01
11
00
01
10
10
00
10
10
00
11
11
01
10
11
01
00
00
01
00
10
00
01
01
10
10
00
01
10
01
10
10
10
00
00
10
10
00
00
01
01
10
00
00
11
11
11
00
00
10
00
10
01
10
10
00
10
10
11
00
10
00
00
01
10
10
01
11
11
11
11
00
11
11
01
00
10
11
10
01
00
10
10
00
01
10
00
00
10
10
01
10
10
11
10
00
11
11
10
01
10
00
10
00
01
11
01
00
10
11
10
01
01
00
10
10
01
00
00
10
01
01
10
10
00
00
11
10
11
10
00
01
01
00
00
11
11
00
01
11
10
10
00
00
10
10
00
00
10
00
11
10
10
01
00
10
00
00
10
11
01
11
00
00
10
01
11
00
10
10
00
10
01
00
01
01
11
10
10
01
01
10
00
00
00
10
11
00
00
00
11
00
10
11
11
00
10
00
10
10
01
11
00
00
10
10
10
01
00
10
11
00
01
00
01
10
00
10
10
10
00
01
10
10
10
11
10
11
10
10
01
00
10
00
00
10
11
00
01
10
10
00
10
10
11
10
11
11
01
10
01
10
00
11
11
10
00
00
10
00
10
10
01
10
01
00
00
10
10
00
01
00
11
10
00
10
10
01
00
10
01
00
11
01
00
11
10
00
10
10
01
00
01
10
01
00
11
10
01
00
10
00
11
00
00
00
11
10
00
10
10
01
01
00
10
10
00
00
00
01
10
01
00
10
10
11
00
10
10
00
01
00
00
11
11
10
10
10
11
00
00
10
01
00
00
11
11
10
00
10
01
01
00
10
10
11
00
10
00
00
10
11
00
00
00
10
11
11
10
10
00
10
10
00
00
00
00
10
00
00
00
00
10
00
11
00
10
10
00
00
00
10
10
00
01
00
10
10
00
00
00
00
10
01
00
10
10
10
10
00
11
11
01
10
00
10
11
10
01
00
11
11
00
11
10
11
00
10
10
01
11
00
11
10
00
00
10
11
01
01
10
10
10
00
00
11
10
00
00
00
00
00
11
11
00
01
11
00
10
00
10
00
10
11
01
10
00
10
01
00
00
00
10
00
00
10
10
00
00
10
00
01
00
11
00
10
10
00
00
01
00
10
00
01
11
00
00
10
10
00
10
10
00
10
00
01
01
10
10
01
11
00
10
10
10
00
10
00
11
00
00
00
00
00
00
10
00
11
00
10
10
11
10
00
00
10
10
10
00
00
10
00
00
11
10
11
10
01
01
10
10
01
00
10
10
11
10
00
10
01
10
10
11
10
10
00
01
00
01
10
10
00
10
10
10
10
00
11
10
00
10
01
01
00
11
01
11
11
00
11
10
10
00
00
11
10
11
00
01
10
00
10
00
11
11
10
01
01
00
00
11
10
00
00
00
00
10
10
11
10
01
00
00
00
00
10
00
10
00
10
10
10
11
10
10
11
11
00
10
00
11
10
11
01
01
01
11
01
00
00
10
11
00
00
10
00
10
10
10
11
01
01
10
10
11
10
01
10
10
10
00
00
00
00
11
00
00
10
11
10
10
10
00
01
10
00
10
10
10
01
00
00
11
00
01
10
10
10
00
00
10
11
00
11
01
00
00
00
10
11
10
01
01
10
10
00
01
00
00
10
10
10
11
01
00
00
00
10
10
11
00
10
10
01
00
10
10
10
10
00
01
11
11
10
10
11
01
01
10
00
01
11
00
01
01
10
00
01
00
10
11
00
00
11
01
01
10
11
10
10
10
11
00
11
10
00
10
01
11
11
00
00
10
00
10
00
11
10
00
01
00
10
11
00
01
11
01
00
00
10
11
10
01
10
10
01
10
11
00
11
10
10
00
00
11
10
00
01
10
01
01
00
11
01
11
10
10
01
00
00
11
00
10
10
10
10
00
11
00
10
11
11
01
01
01
10
00
11
10
00
01
10
01
00
11
00
11
00
01
11
10
01
00
10
01
00
10
10
11
00
00
00
11
10
10
10
10
01
00
11
00
11
00
00
00
10
01
01
10
10
11
00
11
11
10
00
11
01
00
11
10
00
10
10
10
10
00
00
11
00
00
11
01
01
10
01
01
10
10
00
01
10
11
00
10
11
00
01
01
01
01
10
10
00
10
10
10
00
01
10
11
00
10
10
00
10
10
00
00
10
10
01
01
00
00
00
10
00
10
11
10
00
10
11
00
11
10
01
00
10
11
00
10
00
10
11
11
00
00
00
00
00
00
10
11
10
11
10
10
10
01
10
01
00
01
11
10
00
11
10
00
00
10
10
00
00
00
01
00
00
10
10
00
10
10
01
11
01
10
00
00
00
11
11
00
00
01
10
10
00
11
10
00
11
00
11
11
00
00
01
11
10
11
11
00
11
01
01
10
10
10
10
00
10
10
10
10
00
10
01
00
01
01
10
00
11
10
10
00
00
00
11
10
00
01
10
10
01
00
11
01
00
00
10
01
10
00
00
10
00
11
00
00
01
10
10
00
00
11
11
10
00
00
10
10
10
11
00
00
00
11
01
01
10
11
00
00
11
00
00
11
10
01
00
10
00
00
00
11
00
01
11
00
10
11
00
11
01
00
11
11
00
01
10
10
11
01
00
11
11
10
00
11
10
00
00
01
10
10
00
10
00
11
10
00
10
10
11
00
01
10
11
00
01
01
10
00
01
00
10
10
00
01
00
10
10
10
01
01
00
10
00
00
10
10
00
10
00
00
00
00
00
00
00
00
00
10
01
10
00
10
10
11
00
01
11
10
00
01
00
11
10
00
00
10
01
01
00
10
10
01
10
00
01
10
01
00
10
01
10
01
10
10
00
00
10
11
00
01
00
11
11
10
01
10
11
00
00
00
01
10
00
10
11
01
11
10
11
00
11
10
00
00
10
11
00
10
10
01
10
00
11
10
11
00
11
11
11
10
00
00
00
00
00
01
10
10
00
11
10
10
10
10
10
11
10
00
00
11
00
00
00
11
00
10
10
00
10
11
10
00
00
10
00
01
01
00
10
11
10
00
11
10
10
10
00
01
10
10
11
01
00
11
00
01
11
11
00
10
11
00
10
00
00
11
10
10
00
00
01
10
00
01
00
10
00
10
10
10
00
00
11
10
01
11
01
01
10
10
00
00
10
00
11
10
00
00
11
00
01
10
01
11
01
00
01
01
10
10
01
00
10
00
11
10
01
00
00
10
10
10
00
10
10
01
00
10
00
00
00
10
10
10
00
01
10
10
00
11
11
10
00
11
00
11
00
00
11
10
01
00
00
10
00
10
11
11
10
00
10
00
01
10
00
01
01
10
11
00
10
00
01
10
10
01
10
10
01
10
00
10
11
00
00
01
10
01
10
11
10
00
00
10
10
11
00
00
10
10
11
10
11
10
00
10
10
00
00
11
10
11
00
11
00
10
11
00
01
10
11
01
00
00
11
10
00
11
00
01
00
10
01
00
11
11
01
10
10
00
11
10
10
00
01
10
11
00
00
00
10
00
10
10
00
10
11
00
01
10
10
10
00
00
10
10
00
00
10
10
00
10
00
01
10
01
11
00
01
10
00
01
01
11
10
01
10
10
10
01
00
11
10
01
00
11
11
00
00
10
10
00
00
10
11
00
00
11
11
11
10
00
00
01
00
10
01
01
00
00
01
10
10
00
01
10
10
00
00
01
11
10
10
00
00
00
11
10
01
10
01
00
11
11
00
10
10
00
11
00
00
00
10
00
00
11
00
10
10
00
00
11
00
11
11
01
11
10
10
00
10
00
11
10
01
10
10
10
11
10
10
10
01
01
11
01
01
00
11
00
01
11
10
00
00
10
10
01
00
01
00
10
10
01
10
11
01
01
00
11
10
01
10
10
00
00
00
10
10
00
00
10
10
01
01
01
00
10
10
11
00
10
10
01
00
10
00
00
11
10
11
10
00
10
00
11
00
10
01
01
01
10
00
11
00
00
10
10
01
10
10
11
00
01
10
00
00
10
10
00
10
10
10
10
10
01
11
10
01
00
10
01
10
10
01
10
10
10
00
00
01
00
11
10
10
00
10
01
00
10
01
01
00
00
11
10
00
10
00
00
01
11
10
01
10
10
01
01
00
10
00
00
10
11
01
00
10
00
00
10
11
00
10
01
01
10
00
00
00
10
10
01
01
10
11
10
00
00
10
10
11
00
00
10
11
10
10
00
00
00
10
00
11
10
10
11
10
00
10
10
01
00
01
01
11
00
00
01
00
10
10
10
00
10
10
10
11
00
00
01
11
11
00
01
10
01
10
11
00
00
10
10
10
00
00
10
01
00
00
10
11
01
00
10
00
00
00
10
01
00
11
00
11
10
11
01
01
10
10
00
00
10
00
00
10
11
10
11
01
00
00
01
00
00
10
10
00
11
00
01
11
01
00
01
00
00
01
00
11
10
10
10
10
01
01
00
10
10
00
00
10
00
00
10
01
01
00
10
00
10
00
10
01
00
10
11
10
11
00
10
01
10
01
01
10
10
10
00
01
10
00
00
10
11
00
11
10
10
00
10
00
00
01
01
11
01
11
11
00
10
11
00
10
10
00
00
00
10
00
11
10
01
10
01
01
10
00
00
01
10
01
11
10
10
01
00
01
10
11
10
01
10
10
01
00
11
00
00
01
00
11
11
10
01
00
00
00
11
01
00
01
00
11
10
11
11
11
10
01
00
10
10
00
10
11
00
00
01
10
00
10
00
00
11
10
00
00
11
10
10
11
00
00
10
10
11
11
01
00
00
10
00
10
11
00
00
00
11
01
01
10
11
01
00
11
11
10
01
00
11
01
00
11
00
00
10
00
00
01
10
11
10
01
10
10
00
11
01
10
01
00
10
00
11
00
10
11
01
01
01
10
10
00
01
11
00
00
10
01
10
10
10
01
11
00
00
11
11
00
00
10
11
00
00
00
00
10
10
00
00
01
01
11
00
00
11
10
00
00
00
11
11
11
10
10
00
00
10
11
00
00
00
11
11
00
10
00
10
00
00
11
10
00
00
00
01
11
00
00
11
11
11
11
10
10
01
10
11
11
01
10
11
00
00
11
01
00
10
00
00
11
11
10
01
10
11
10
00
00
10
00
01
00
10
11
10
10
10
10
01
00
10
00
01
00
00
00
00
10
10
10
10
00
10
00
00
00
00
10
01
11
10
11
10
10
11
10
01
00
11
11
00
00
10
00
11
00
00
10
01
01
00
10
10
00
10
11
00
10
10
00
10
00
10
11
10
01
10
10
00
00
00
11
01
10
01
10
00
10
01
10
01
00
10
00
01
10
10
00
01
00
10
11
10
00
00
01
00
10
10
11
10
00
00
00
00
10
00
01
00
11
10
11
10
00
10
00
01
11
00
00
10
11
10
00
10
11
10
01
00
10
10
00
10
00
01
00
10
10
01
01
11
10
11
10
01
10
00
00
10
10
01
00
10
01
10
11
11
11
00
00
01
00
00
10
00
01
01
10
10
10
11
01
00
10
00
10
11
10
10
01
10
00
10
01
10
11
01
01
10
01
00
10
10
00
10
10
11
00
00
10
10
11
00
10
11
10
11
11
00
11
10
00
01
10
11
01
11
10
00
10
01
10
00
01
11
00
00
10
11
10
01
00
10
10
00
10
00
01
11
01
00
10
00
00
00
10
00
00
10
10
10
00
01
00
00
11
10
01
01
11
10
10
00
10
11
01
11
10
10
10
11
10
00
11
10
01
01
10
10
10
00
00
11
11
00
11
00
10
11
11
11
00
10
11
00
11
00
10
01
11
10
10
00
01
01
10
10
00
00
00
00
10
00
00
10
00
10
00
01
10
01
00
10
10
00
00
10
00
00
10
10
10
10
00
11
00
10
01
01
11
11
10
00
10
10
10
01
00
10
00
00
10
00
01
10
00
00
00
00
11
10
00
00
10
10
00
00
10
11
00
10
00
10
10
00
00
10
01
01
11
01
10
10
00
00
11
00
00
10
10
00
01
10
10
01
00
00
11
01
10
11
01
01
11
10
10
00
00
01
00
10
10
00
00
00
00
10
11
00
10
00
11
00
00
10
10
10
01
11
01
00
00
11
00
10
11
01
00
01
00
01
00
01
01
00
00
10
10
11
11
01
10
01
10
00
10
11
00
00
10
00
11
10
01
00
11
01
10
11
10
01
10
11
01
01
00
10
00
10
10
01
10
00
10
00
01
00
01
10
10
01
10
11
00
00
10
01
11
10
00
10
00
00
00
00
11
00
10
10
01
11
01
00
10
00
10
10
01
00
01
10
10
11
10
10
00
11
10
01
00
00
10
00
10
10
10
10
10
00
10
00
01
01
00
10
10
11
10
01
01
01
11
11
00
00
10
11
10
01
00
11
01
00
10
00
11
10
01
00
10
00
00
00
00
10
11
10
11
10
01
10
00
00
00
01
11
00
01
00
11
10
10
00
00
11
11
01
00
00
10
11
01
11
11
10
00
11
10
00
00
10
10
01
10
11
00
01
01
10
10
11
10
00
00
10
11
01
00
00
00
00
01
10
10
00
01
01
00
01
00
10
01
00
10
00
00
11
10
10
10
10
00
00
00
01
00
10
00
00
10
01
10
01
10
00
10
10
01
11
00
01
11
00
10
00
11
11
11
00
00
10
00
10
11
10
00
00
10
11
00
11
11
11
10
10
00
10
10
01
00
01
11
01
10
01
10
00
00
00
10
10
00
00
11
11
10
10
00
00
01
01
11
10
00
00
10
01
10
11
00
10
11
10
00
11
00
00
10
00
00
10
01
00
10
11
10
00
01
00
00
10
10
00
01
10
11
00
10
11
01
10
10
00
01
10
01
10
00
10
10
11
10
10
10
00
00
00
00
00
11
00
10
10
11
10
11
00
00
11
11
01
00
01
10
00
11
10
00
10
00
00
11
11
00
01
10
00
01
01
10
00
11
10
00
00
10
00
01
11
10
10
00
00
11
01
00
01
01
11
10
10
10
10
11
00
00
10
10
00
10
10
01
11
11
00
00
10
10
01
10
11
00
10
10
10
00
10
10
10
00
00
10
01
00
00
00
10
10
01
11
10
10
11
10
11
10
00
00
10
01
10
00
00
10
01
00
10
00
11
10
10
00
11
11
10
00
11
10
00
00
11
00
01
00
11
00
10
11
01
01
11
11
00
00
01
01
10
10
00
00
10
01
11
00
01
11
11
00
11
00
00
11
01
10
10
10
00
00
00
10
10
00
01
01
10
00
10
01
11
11
11
10
01
00
10
10
01
10
10
00
00
11
00
00
11
10
00
10
10
00
00
10
10
00
10
00
11
10
00
00
01
10
10
10
10
01
00
01
00
11
11
10
00
10
10
01
01
11
10
01
01
00
01
01
01
10
10
01
11
00
01
11
10
00
11
11
10
00
00
00
10
10
01
10
10
00
10
10
00
01
10
00
01
00
11
10
11
00
11
10
10
10
01
00
10
10
11
10
00
10
10
10
11
10
00
10
10
01
10
10
11
00
01
10
10
11
11
00
00
10
10
00
01
11
00
11
00
00
00
10
11
01
10
10
00
11
00
00
00
11
10
10
10
00
00
10
00
10
10
01
00
10
11
10
10
11
01
01
00
10
00
11
10
10
00
10
10
01
00
11
10
00
10
10
01
01
10
00
11
00
00
10
00
10
10
11
00
00
11
10
01
10
10
01
10
00
00
11
11
00
00
00
01
10
00
11
11
00
00
10
01
00
11
00
00
01
10
10
10
00
00
11
10
00
00
10
01
10
11
00
10
01
00
01
11
10
10
10
01
00
00
10
10
11
10
00
00
00
00
10
01
10
10
10
10
10
00
00
00
00
11
10
11
00
11
10
01
00
10
01
00
11
11
11
00
10
00
10
00
00
11
10
00
10
10
00
10
10
00
01
01
01
00
10
00
10
00
00
11
01
01
10
11
00
11
10
00
01
10
00
00
10
11
10
11
01
11
00
01
11
10
11
00
10
00
10
10
00
01
11
10
01
11
00
00
00
10
10
10
00
01
10
10
11
00
00
00
10
11
01
01
00
10
00
00
00
10
10
00
10
10
11
10
11
01
10
11
10
00
01
00
11
10
00
10
10
00
11
00
01
01
10
00
00
00
01
01
10
10
11
10
00
01
00
00
01
00
11
01
10
00
10
01
11
11
01
10
01
00
11
01
01
11
10
11
00
01
00
11
10
01
01
01
01
11
00
01
00
10
11
00
01
10
10
10
10
00
10
10
01
00
10
10
00
10
00
01
00
00
10
10
10
00
01
01
10
10
10
11
01
11
10
10
00
10
11
01
00
10
01
00
01
10
01
00
10
10
00
11
11
00
00
11
00
00
00
10
11
01
11
00
10
00
10
11
10
11
01
10
10
00
00
00
11
10
10
00
00
10
11
10
00
10
11
00
10
10
10
01
00
11
01
00
11
10
00
00
01
10
01
00
01
00
01
10
10
00
01
01
01
10
11
10
00
00
10
00
00
00
11
10
00
00
10
00
10
00
00
11
11
00
00
11
10
00
11
10
00
11
10
00
00
00
00
10
00
00
01
10
00
01
00
00
10
10
10
11
10
10
11
11
00
01
01
00
01
11
10
00
01
00
10
01
01
11
10
00
01
10
01
00
10
10
00
00
11
10
00
01
11
01
10
00
00
10
11
10
00
00
00
00
00
00
10
10
11
10
10
11
10
01
01
11
10
11
01
01
10
10
10
00
11
11
00
10
01
01
00
00
10
00
00
10
01
00
10
10
10
01
01
00
10
01
10
11
01
10
10
00
01
10
10
01
00
10
00
01
10
11
01
00
10
11
11
10
10
00
11
10
00
10
00
10
10
00
11
10
10
01
01
10
10
11
10
00
00
10
00
00
00
10
10
01
00
01
10
11
00
11
00
01
10
10
10
10
00
01
01
10
11
01
00
10
11
10
10
10
00
01
11
10
10
00
00
11
10
01
00
10
11
01
11
00
11
00
00
11
10
10
01
10
11
10
10
00
00
10
10
01
01
00
00
11
10
00
10
11
00
01
10
00
00
11
00
01
00
11
10
01
10
00
01
10
01
00
10
10
00
00
10
11
00
10
01
10
10
01
00
10
01
00
10
10
00
01
10
10
01
10
10
01
10
11
11
00
11
10
00
00
00
01
01
00
10
00
10
11
00
01
00
01
11
00
00
10
11
00
11
10
11
10
10
00
10
10
01
00
00
10
10
00
00
00
00
10
00
10
01
11
10
00
11
10
01
00
00
10
00
00
10
00
00
00
10
11
10
10
11
01
10
01
10
00
11
00
10
00
00
10
11
10
00
01
10
10
00
00
10
10
00
00
00
00
11
10
10
10
10
01
11
11
00
10
10
10
10
11
10
00
00
01
10
11
10
11
11
10
01
00
00
10
10
01
00
10
11
01
00
00
10
10
10
00
01
11
11
01
10
11
00
01
11
10
10
00
11
10
01
01
00
11
10
00
11
11
00
10
11
00
00
10
00
10
11
00
00
00
10
11
10
00
01
00
01
11
10
10
00
10
11
01
00
00
10
00
00
00
10
10
01
10
00
10
01
10
01
00
10
10
11
10
01
00
10
10
10
01
00
00
10
00
11
00
01
11
00
10
11
00
11
10
01
10
10
11
00
10
00
01
11
11
10
11
01
00
00
01
00
11
11
10
10
10
01
10
01
00
10
11
11
10
01
01
00
01
10
10
11
00
10
00
00
10
00
10
11
00
00
10
00
00
10
10
01
10
10
10
00
11
11
11
01
00
00
00
01
00
11
10
10
10
00
10
00
01
10
00
00
01
01
10
01
10
01
00
00
10
10
00
01
01
10
01
00
01
10
10
01
10
10
00
10
00
10
10
10
10
00
11
10
00
01
00
10
11
00
11
11
00
00
00
10
01
01
11
10
01
00
11
00
01
10
00
01
10
11
01
10
01
01
10
00
10
10
10
00
01
10
10
11
00
00
10
10
00
10
01
01
00
11
10
10
01
10
01
00
10
11
00
10
00
10
11
00
01
00
10
11
11
00
10
00
00
00
00
00
10
01
00
00
11
10
00
10
10
10
00
00
01
10
00
01
10
01
00
10
00
00
00
11
00
10
10
10
10
11
01
01
11
00
00
01
10
01
01
10
10
00
00
00
11
10
10
00
00
00
10
10
10
10
00
11
10
10
00
00
00
10
10
01
00
01
00
00
00
11
00
01
11
10
11
00
10
01
01
10
00
10
10
10
00
00
11
10
01
10
10
01
10
01
11
11
00
00
10
01
10
10
10
01
11
00
11
10
10
00
00
00
10
11
00
10
10
00
00
10
10
00
11
11
11
10
00
00
00
01
10
11
00
00
00
10
11
10
01
00
10
11
00
01
10
11
00
01
01
00
00
00
11
01
11
10
11
00
01
11
00
01
11
11
00
10
10
10
00
00
00
10
10
00
10
11
10
00
10
10
10
10
01
10
10
01
11
11
00
10
00
10
10
10
00
00
01
01
01
10
01
00
11
10
00
00
10
00
01
00
11
10
01
10
00
11
00
00
11
11
00
01
11
10
10
01
11
10
10
00
00
10
01
01
10
10
10
11
10
00
01
01
10
10
10
00
11
10
00
00
10
00
00
10
11
00
00
00
11
00
10
01
00
11
00
10
00
01
10
01
10
10
10
00
11
00
00
00
00
00
01
11
10
11
11
00
00
10
11
01
10
10
10
00
01
10
00
01
00
00
10
10
10
00
01
10
00
00
10
01
00
10
00
10
00
00
00
10
10
00
11
11
01
11
01
01
11
10
00
00
11
11
00
01
00
10
10
10
00
00
00
10
00
00
00
00
10
10
00
10
01
00
10
01
10
10
11
00
10
11
01
00
10
11
00
11
00
00
10
10
11
00
10
11
10
00
10
00
01
00
00
01
10
01
00
10
00
01
11
10
00
01
00
10
11
00
10
10
00
00
00
00
00
11
10
11
01
11
10
01
01
00
01
10
00
00
00
10
01
00
10
10
00
10
00
10
00
10
10
01
00
00
10
10
10
10
10
00
10
10
11
10
01
11
10
01
10
10
01
00
10
01
11
11
11
00
00
11
10
10
01
10
01
00
10
11
10
00
10
10
00
00
11
01
00
01
01
00
10
01
01
10
00
10
11
10
10
01
10
00
01
00
11
00
10
11
00
00
00
01
11
00
01
01
00
00
00
11
10
01
01
10
01
01
01
10
11
01
00
01
00
00
00
11
10
10
00
01
01
11
11
10
10
00
00
00
10
10
00
00
10
10
11
10
00
01
10
10
01
01
11
10
00
00
10
10
10
01
01
00
10
00
00
11
00
11
11
11
01
10
00
00
00
10
01
00
10
00
10
10
10
10
00
01
01
01
00
10
10
01
01
00
00
11
10
10
00
00
10
01
00
11
10
00
01
10
00
01
10
10
00
01
10
10
01
10
00
00
00
10
00
00
11
11
10
00
00
00
10
00
01
10
00
00
10
10
10
10
11
11
00
10
00
11
00
00
10
01
00
11
00
00
10
10
00
00
11
10
10
00
11
00
11
11
00
01
10
10
00
00
10
10
00
00
01
10
00
00
01
00
10
01
10
01
00
01
01
10
10
00
10
10
00
01
10
11
00
01
11
10
01
11
00
00
11
10
10
10
00
01
00
10
00
10
00
01
00
00
11
00
10
10
00
11
10
01
01
10
10
01
10
11
10
11
10
01
00
01
10
11
11
00
00
10
00
00
01
10
11
10
10
00
10
00
10
10
10
10
01
10
11
01
10
10
00
10
00
10
10
10
00
00
10
01
00
01
10
01
00
00
00
10
10
00
00
10
11
00
00
01
10
01
10
10
11
00
10
00
00
11
01
10
00
00
00
00
10
01
11
00
01
11
01
01
00
10
01
00
11
10
01
00
00
10
00
10
10
01
01
00
11
10
10
00
00
11
10
10
00
00
00
01
10
00
10
10
10
01
11
10
11
00
00
00
11
10
11
10
00
01
01
01
11
10
11
11
01
00
10
11
00
11
00
00
11
10
10
11
10
01
10
00
00
11
00
10
10
01
11
11
01
11
00
00
01
10
11
00
11
10
00
00
00
01
11
01
01
01
10
00
00
00
10
10
00
00
01
11
11
00
10
01
00
01
10
11
11
10
10
01
00
10
10
00
10
00
11
01
11
00
00
00
01
01
00
10
10
01
11
00
11
00
01
01
10
10
10
00
01
00
00
01
10
11
10
10
11
10
00
10
10
00
00
01
10
01
11
11
10
00
01
00
11
11
11
10
01
10
11
00
01
00
10
00
00
10
10
01
11
11
11
01
10
11
11
01
10
11
01
01
10
00
00
11
10
00
00
11
01
10
10
11
10
00
00
11
10
10
10
00
10
10
01
00
11
10
00
01
00
11
10
10
00
00
10
00
01
10
00
01
10
10
01
00
10
00
00
10
10
01
10
00
00
10
10
00
00
00
00
00
00
10
00
00
10
00
10
00
00
11
10
10
11
10
11
01
00
00
10
11
10
10
00
10
10
00
10
10
00
01
01
00
01
01
10
10
00
10
10
00
00
00
10
10
01
10
01
10
11
00
11
10
11
00
00
01
01
00
10
10
01
10
10
00
10
10
00
01
10
00
00
10
10
01
11
11
10
00
00
11
00
11
10
00
00
10
00
01
10
10
01
10
10
10
00
01
10
10
00
00
10
01
00
10
10
00
00
01
00
01
00
10
10
00
10
10
00
01
10
11
10
11
10
10
10
01
01
01
10
00
00
00
10
00
00
10
11
00
10
10
11
10
10
01
00
00
00
10
10
01
11
10
00
10
11
10
01
00
10
01
10
10
00
10
01
01
10
11
00
00
00
10
01
10
10
00
11
00
00
10
10
11
11
00
00
11
11
11
01
10
10
10
10
00
11
11
00
01
00
10
10
10
01
01
01
10
10
11
00
10
10
00
01
00
01
11
00
10
11
00
01
11
00
00
10
11
01
11
00
00
11
00
10
00
00
10
00
10
10
01
01
01
01
10
10
10
10
01
00
10
10
00
11
10
11
10
11
00
00
11
00
01
00
00
10
10
10
10
00
11
10
01
11
10
00
10
00
10
11
11
10
01
00
10
00
00
11
11
00
00
11
00
11
00
00
00
00
00
00
00
11
10
00
00
10
11
10
00
10
10
11
11
10
00
10
00
01
11
11
01
10
10
00
11
00
00
10
11
10
00
00
00
00
00
00
11
01
10
10
00
01
01
10
11
00
01
10
00
11
11
00
11
11
01
00
11
00
00
00
10
11
00
01
10
10
01
00
00
00
10
10
11
10
00
10
10
00
10
11
10
00
01
11
00
10
10
01
11
10
11
10
00
10
01
11
00
11
11
01
10
00
10
01
00
10
10
01
00
11
00
00
00
00
11
00
10
10
10
00
10
10
00
00
00
10
01
11
01
10
11
11
01
10
11
01
01
00
01
10
10
11
01
00
11
10
11
11
10
00
01
01
11
11
01
10
10
00
00
11
00
00
00
10
10
10
00
00
00
00
01
00
10
10
00
00
00
10
10
00
10
11
00
11
10
11
11
10
10
00
01
10
10
00
10
00
10
10
00
00
10
10
10
00
00
00
00
10
11
10
11
00
01
10
01
00
10
01
00
10
11
10
10
10
01
00
10
11
10
10
01
10
00
10
10
10
10
00
00
00
10
00
10
00
01
10
01
10
01
10
10
10
01
10
10
01
01
00
10
01
10
11
00
00
10
00
00
10
10
11
01
01
00
00
10
00
10
10
00
01
10
10
01
10
11
01
10
00
10
10
10
11
01
10
00
00
10
00
10
10
01
10
00
11
00
10
11
10
01
00
10
11
10
10
10
10
11
01
00
10
10
11
00
01
00
00
11
10
10
10
00
11
11
00
00
00
00
10
10
11
10
10
01
01
10
00
11
10
00
01
10
10
01
10
11
10
01
10
00
10
00
00
11
00
11
01
11
11
11
00
01
10
10
00
10
10
00
01
00
11
10
00
01
01
00
11
00
00
00
00
10
10
10
10
00
10
10
01
10
11
10
01
00
10
00
11
01
01
00
11
11
01
11
11
00
00
01
10
10
00
11
10
11
00
00
00
00
00
10
01
00
01
00
10
00
01
10
10
10
00
11
01
10
00
10
10
10
00
00
10
01
01
10
10
01
00
10
01
10
00
00
11
10
01
10
00
01
11
10
01
00
11
00
11
00
01
11
11
10
01
10
11
01
01
01
10
10
00
00
10
10
00
00
01
10
10
01
00
00
00
10
11
10
10
00
10
00
00
00
00
10
11
00
11
00
10
00
00
01
10
11
01
00
01
00
01
00
00
10
00
10
10
10
10
11
10
00
01
00
01
00
10
11
10
01
00
01
10
10
10
01
11
00
10
10
00
00
10
00
00
00
10
00
00
10
11
01
00
10
00
00
10
10
10
00
01
10
10
11
10
00
00
00
00
11
01
11
10
00
00
00
11
01
10
00
11
01
01
00
01
10
01
00
00
00
11
00
00
01
11
01
11
01
11
10
11
00
11
00
00
10
00
10
00
10
10
11
00
01
00
00
00
10
01
00
11
10
11
00
10
10
00
10
00
00
10
01
00
11
01
00
11
00
00
01
00
10
01
00
10
00
00
01
00
11
10
01
10
10
10
10
01
10
10
00
01
11
00
00
01
01
11
10
11
01
10
11
01
11
10
00
01
00
01
10
00
01
10
10
11
10
01
10
01
00
11
11
01
11
00
00
01
01
11
00
00
10
10
01
10
00
00
00
11
01
10
10
01
10
00
01
11
00
00
01
11
00
01
10
01
00
10
00
00
11
10
11
00
00
10
10
01
00
10
10
10
10
01
01
00
00
01
01
10
10
00
00
00
00
10
11
00
10
00
00
00
10
00
00
10
10
00
11
10
11
10
00
10
01
00
10
10
01
00
10
01
10
11
00
00
10
11
11
10
10
00
00
10
10
00
00
10
10
11
11
11
11
10
10
10
00
00
10
10
00
10
00
01
01
00
11
10
11
01
10
01
00
01
10
00
01
00
10
11
01
11
10
10
10
00
11
00
10
00
10
10
10
10
00
11
10
01
00
00
01
10
11
11
00
00
00
01
10
10
10
01
00
01
10
00
00
10
11
10
01
00
00
11
00
11
00
11
10
00
01
10
01
11
00
01
00
10
00
01
11
00
00
10
01
00
11
00
11
11
00
10
00
00
01
00
10
10
00
10
00
00
10
11
00
00
01
00
10
00
10
10
10
00
11
10
11
11
01
00
00
11
11
00
00
00
11
10
00
00
01
00
00
00
11
10
01
01
10
10
00
00
00
00
10
10
01
11
01
00
10
00
10
10
01
00
10
10
00
00
10
10
10
00
01
10
01
10
01
10
00
10
10
11
00
00
10
00
11
00
00
10
10
10
10
00
00
11
10
00
11
10
10
10
11
00
11
00
10
00
10
10
00
10
10
10
10
00
10
11
00
00
01
11
00
00
11
11
10
10
01
00
00
10
01
00
00
00
10
00
10
00
00
10
11
00
00
10
10
00
11
00
10
00
01
00
00
00
00
10
11
01
00
01
10
10
00
01
11
11
01
01
10
00
10
00
10
00
00
10
11
10
10
11
11
10
00
01
00
11
01
10
10
00
11
11
00
10
10
10
00
10
10
01
11
10
00
01
10
01
10
00
11
01
01
11
00
11
00
11
00
00
10
11
01
00
10
10
10
01
00
11
00
11
10
00
11
11
01
00
10
11
00
00
01
00
11
11
01
01
11
11
01
00
10
10
01
10
11
00
00
10
11
00
11
10
01
01
10
00
00
11
10
10
00
10
00
01
10
00
01
10
10
00
00
10
11
01
00
01
10
01
01
10
11
00
00
11
10
01
11
10
00
00
10
10
00
01
01
11
11
01
10
11
11
00
10
11
10
00
10
01
00
10
00
10
10
01
10
01
00
00
00
00
10
00
00
10
10
00
00
10
00
00
00
00
00
01
01
00
11
00
10
10
00
01
00
10
10
10
00
00
11
11
00
00
10
10
11
00
10
10
00
01
00
00
01
01
01
11
11
10
10
10
01
00
10
10
01
00
10
10
00
10
00
00
10
00
11
00
00
10
00
00
10
11
00
10
11
01
00
10
00
11
00
10
00
10
10
00
10
10
11
00
01
01
11
11
11
10
10
01
01
11
00
00
10
11
00
00
01
10
10
00
10
00
11
00
01
10
00
01
10
11
00
10
01
00
01
10
11
00
00
10
11
10
00
01
10
01
11
00
01
10
00
01
11
10
00
00
00
01
10
10
00
01
01
00
10
11
00
00
01
00
00
11
10
11
00
11
11
00
00
11
10
01
00
10
00
10
10
00
00
10
00
10
00
11
00
01
01
01
10
10
00
00
11
10
11
01
00
11
01
11
10
00
11
10
01
10
11
01
00
10
10
00
00
10
10
00
00
00
00
00
10
11
01
00
11
00
00
00
11
10
01
00
10
00
01
00
01
01
10
10
11
00
00
10
10
10
10
00
00
01
11
01
11
11
00
00
01
10
10
11
00
00
10
10
00
00
00
00
10
10
11
00
10
00
00
10
00
10
00
11
00
11
10
01
11
11
10
11
00
01
00
00
10
10
00
01
01
00
00
10
01
10
00
00
01
10
10
10
10
01
10
10
00
00
10
01
10
11
01
11
00
01
00
00
11
10
10
10
00
00
10
11
00
01
00
11
10
10
11
10
00
01
11
10
11
00
11
00
00
00
11
10
00
10
11
11
01
00
10
00
00
01
11
11
01
10
01
11
00
00
10
10
00
10
10
01
10
00
00
11
00
00
01
00
10
10
01
10
01
00
00
00
10
11
10
01
01
10
10
01
00
00
10
11
01
10
10
11
11
00
11
01
01
10
10
10
01
11
10
10
00
00
10
00
11
10
01
10
10
10
10
10
10
00
00
10
10
00
10
01
10
01
00
11
00
11
10
00
00
10
00
01
00
00
10
11
10
11
10
00
01
00
01
10
01
00
10
10
10
10
01
10
11
11
00
00
10
10
10
11
00
01
10
10
10
00
00
00
00
11
10
00
10
00
00
00
10
11
00
01
00
00
10
10
11
11
00
01
10
10
10
00
11
10
01
01
10
00
10
10
11
11
00
00
11
10
10
00
00
10
10
01
10
00
01
10
10
01
00
11
00
00
11
00
10
01
00
11
00
01
10
10
10
00
10
00
00
10
11
10
10
10
10
01
00
01
00
10
11
10
00
00
00
10
10
00
00
00
10
10
01
00
00
10
10
10
01
00
11
10
00
10
10
00
00
01
11
01
10
11
10
00
00
11
01
10
00
00
10
11
10
01
00
00
11
00
10
00
01
10
10
10
01
10
10
10
00
01
00
11
10
00
11
00
01
10
00
11
10
00
00
11
10
00
10
10
10
01
11
00
11
11
01
10
10
10
10
00
00
11
11
10
11
00
00
10
01
00
01
11
10
10
10
00
00
00
00
10
10
10
00
01
11
01
01
10
00
00
00
00
01
11
11
10
00
10
00
11
10
01
00
01
01
11
10
11
00
01
11
00
10
10
01
00
01
00
10
00
00
10
01
10
10
01
10
00
00
00
11
10
10
00
10
10
01
00
00
11
00
10
11
10
11
00
01
10
11
00
10
00
11
11
00
00
10
10
11
10
00
00
01
10
10
00
01
10
10
00
11
10
10
10
10
11
01
01
00
11
01
10
10
00
00
10
00
10
10
00
00
00
00
01
01
10
11
10
00
01
10
01
00
10
11
01
10
01
00
01
00
10
11
11
00
01
10
10
10
11
01
10
10
00
00
00
01
00
11
01
11
01
10
11
00
11
00
10
10
11
10
00
00
10
10
00
01
10
00
11
00
01
10
00
10
10
01
00
10
10
01
00
00
01
10
10
10
00
10
00
01
00
10
10
10
01
10
00
00
11
00
11
01
00
11
10
01
01
00
10
00
10
01
10
10
10
01
00
11
10
00
10
00
10
00
01
10
00
01
10
10
01
00
10
00
01
10
00
10
00
01
00
00
01
00
11
00
10
10
10
11
10
01
01
10
01
00
00
10
10
00
10
11
11
00
01
01
10
01
00
10
11
01
10
00
00
10
11
01
01
11
10
01
10
11
11
00
11
01
11
00
00
10
01
10
01
10
10
00
10
00
00
10
10
00
10
10
01
10
01
01
01
10
11
00
10
00
00
00
11
00
00
11
10
10
00
00
10
11
00
11
10
01
11
10
01
00
00
01
10
11
11
00
00
00
01
10
01
00
10
11
10
10
00
10
10
01
10
01
00
01
00
11
11
00
10
10
01
11
00
00
10
01
00
00
10
11
00
00
00
10
00
01
00
10
10
00
10
10
11
00
00
10
11
00
11
01
00
01
00
10
11
00
00
10
11
11
10
01
10
10
10
10
00
01
01
10
10
00
00
01
10
10
11
01
00
11
00
11
00
10
00
10
11
00
10
11
01
01
00
00
10
11
10
11
10
00
10
10
01
01
10
01
00
11
01
10
01
10
10
10
10
00
00
01
11
01
00
00
00
10
10
00
00
10
01
11
00
00
10
00
00
00
11
10
10
01
00
10
11
00
00
11
00
10
00
01
10
01
10
11
00
00
00
00
10
10
10
00
10
01
00
11
00
11
11
10
00
00
11
10
10
00
01
10
10
00
00
00
00
00
11
10
11
10
11
00
00
00
11
00
01
00
11
01
11
10
00
10
11
11
01
00
11
10
00
00
00
11
10
00
11
00
10
10
00
11
01
00
10
01
11
10
01
11
10
00
01
00
01
10
11
00
01
01
01
11
11
10
00
01
00
10
10
01
00
11
10
11
10
11
00
00
11
10
00
00
00
11
10
10
00
00
00
10
01
10
00
10
00
00
01
10
00
11
00
01
11
00
11
10
00
10
01
01
10
11
00
10
00
10
11
00
10
10
11
11
00
11
10
10
00
01
10
10
00
00
11
10
00
10
01
00
11
00
10
00
01
10
00
10
10
00
01
10
10
00
00
00
10
10
10
00
11
00
11
00
10
10
10
00
01
00
00
10
11
00
00
01
01
10
10
10
11
00
00
10
11
01
01
10
11
00
01
00
01
00
10
00
00
10
10
00
01
10
01
10
00
00
00
10
01
00
10
10
10
01
11
10
10
10
00
00
01
01
01
10
00
00
00
01
11
00
01
00
11
10
00
00
10
01
00
11
10
10
10
10
00
10
10
01
10
10
10
11
01
11
01
10
00
11
00
01
11
10
00
01
10
10
10
01
10
00
00
10
00
00
10
10
11
00
01
01
10
11
10
00
00
10
10
00
10
11
10
00
01
00
00
10
00
01
00
00
11
00
00
10
00
01
11
00
00
10
11
00
00
00
10
00
10
10
00
10
00
10
00
10
11
00
00
10
00
00
10
01
00
01
00
00
11
00
10
11
10
00
10
00
00
10
11
10
01
00
11
11
10
00
01
01
10
10
00
00
11
00
10
11
00
00
01
00
11
11
00
00
00
11
01
00
10
11
11
00
10
10
00
00
10
10
01
10
11
11
10
10
11
10
01
11
10
01
00
10
01
10
10
00
11
10
10
10
00
01
00
00
11
10
00
10
01
10
00
10
10
10
10
00
01
10
00
10
00
00
10
00
10
11
00
11
10
00
00
00
10
01
01
10
10
10
11
10
00
01
10
00
01
11
00
01
00
00
00
10
10
10
00
01
10
00
10
01
10
10
10
10
00
10
10
00
10
00
00
10
00
10
00
11
10
10
00
00
10
10
10
10
10
10
10
10
01
10
00
01
00
10
01
01
10
01
11
00
10
11
01
11
10
00
11
10
00
00
01
10
10
10
10
00
11
10
01
01
01
01
01
10
10
00
11
01
00
10
11
00
00
01
11
10
00
00
00
10
01
00
11
00
01
00
00
00
11
01
00
10
11
00
11
11
00
10
10
10
01
11
10
00
10
10
00
10
01
01
01
11
10
11
10
10
00
00
10
11
11
01
00
11
00
11
10
10
00
01
10
11
00
10
10
01
10
11
00
00
10
10
10
01
10
11
11
00
01
01
10
10
11
00
11
00
11
10
01
00
00
00
11
10
01
00
00
11
00
01
10
00
00
10
10
10
10
01
10
10
01
01
11
10
10
10
01
11
01
00
00
10
00
10
10
00
00
01
10
11
10
11
00
00
10
10
00
11
10
01
11
01
00
00
01
11
10
01
01
00
00
01
10
10
01
10
10
10
01
01
01
00
00
00
10
10
00
00
11
10
11
10
01
10
00
00
00
00
01
01
10
01
00
11
10
10
01
00
10
00
10
10
10
00
00
10
10
01
10
00
10
00
01
01
10
10
10
10
10
10
10
10
11
11
00
00
01
10
00
10
11
10
10
00
10
11
10
10
00
00
11
11
00
00
10
10
00
01
10
00
10
10
10
00
01
00
10
00
10
10
10
10
00
01
11
00
11
10
01
00
00
10
11
11
00
00
10
00
00
10
11
10
00
10
10
00
10
00
01
01
01
10
10
10
10
00
10
10
00
00
01
10
01
10
10
00
00
11
01
10
10
00
10
10
11
00
01
10
10
11
00
10
00
00
00
00
10
11
10
00
10
10
00
01
10
10
01
00
01
10
11
10
10
00
00
01
10
10
01
10
10
01
00
00
10
11
01
01
00
00
00
11
00
11
01
10
00
00
00
10
10
01
11
11
00
01
11
11
01
00
00
00
00
10
01
01
11
01
11
01
10
11
01
00
11
00
10
10
10
01
00
01
10
11
01
10
00
10
10
10
00
00
10
11
10
00
11
01
00
10
10
00
00
11
01
10
10
00
01
11
01
10
00
10
11
01
11
10
10
11
10
00
00
10
10
00
00
01
01
10
00
11
01
00
00
10
11
10
01
00
10
01
01
10
10
00
00
00
01
11
10
01
10
10
10
11
00
10
10
01
10
01
00
10
01
11
01
00
11
10
11
01
10
10
01
00
10
11
00
10
00
01
10
00
01
01
00
10
00
10
00
01
00
00
10
11
01
00
10
01
00
10
10
10
10
10
10
00
00
11
10
01
01
00
01
11
01
01
11
11
01
11
10
01
01
01
10
10
00
11
10
00
10
11
01
10
10
01
11
10
00
00
10
01
00
00
10
10
11
11
10
11
11
01
00
10
00
00
00
10
01
00
11
00
10
10
00
00
11
10
00
00
10
11
00
11
10
00
00
10
00
10
00
10
10
00
11
11
10
10
00
00
00
11
10
10
11
01
10
10
00
00
10
00
00
01
10
10
00
10
11
00
00
00
10
11
00
10
10
00
10
10
11
11
01
00
11
10
10
00
01
01
10
10
00
01
11
00
10
10
00
00
00
00
10
11
00
01
11
10
10
00
10
11
10
00
10
01
00
10
01
10
11
10
00
01
00
00
10
00
11
10
11
10
01
01
01
00
00
00
10
10
10
00
00
10
10
00
00
11
10
01
11
10
11
11
01
11
10
00
00
00
10
00
00
10
11
00
11
01
00
10
10
10
11
11
01
11
11
10
00
11
01
10
11
00
11
10
00
00
00
11
10
00
00
01
10
11
11
00
10
01
01
10
10
10
00
00
00
00
11
01
00
10
00
11
00
01
10
10
00
11
00
10
01
10
10
00
00
10
00
01
01
01
10
11
00
00
00
11
10
00
10
11
10
11
10
01
00
10
00
10
10
11
00
11
11
00
10
10
00
11
10
00
00
11
10
00
00
00
00
00
10
11
00
10
00
00
10
00
10
11
00
10
00
00
10
00
10
00
11
00
01
00
10
11
11
00
00
00
10
10
11
10
00
00
00
00
11
11
00
00
11
00
10
00
10
11
00
00
00
10
01
11
00
10
10
00
00
10
01
11
10
00
10
00
00
11
10
11
00
10
00
10
10
01
00
11
10
00
00
10
00
00
10
00
11
01
10
11
10
00
10
11
01
11
01
00
11
10
00
10
10
00
00
00
01
10
11
11
00
00
01
11
10
10
00
00
11
10
11
10
10
01
11
00
00
01
10
11
00
01
10
10
00
00
10
10
00
00
11
00
01
01
00
11
01
10
10
10
01
00
00
10
00
10
10
11
00
10
10
11
00
10
10
01
10
10
00
00
10
10
11
00
00
01
00
10
10
00
00
10
10
00
10
00
00
10
11
00
00
01
10
10
11
10
01
10
10
00
10
11
10
00
01
10
10
10
10
00
10
10
00
10
00
00
01
01
11
10
01
10
11
00
00
01
00
10
10
10
10
10
01
00
10
00
00
10
11
01
10
00
11
10
01
01
01
10
10
10
01
00
10
11
01
10
10
00
01
00
11
10
00
00
10
00
01
11
10
01
10
10
00
10
00
10
11
00
11
01
11
10
11
00
11
11
00
01
00
10
10
10
00
00
11
10
10
10
11
00
11
10
00
00
11
00
00
11
11
01
10
10
00
10
00
01
01
10
10
00
00
01
01
10
11
00
01
00
00
10
11
00
00
10
10
00
11
00
10
10
01
00
11
10
00
00
11
00
01
10
11
00
01
10
11
00
11
00
01
00
10
10
00
01
00
00
10
00
01
10
00
11
01
10
10
00
11
10
00
10
10
11
10
00
01
00
10
11
10
11
01
01
00
01
01
01
00
10
00
00
11
10
11
00
10
10
10
10
01
10
10
11
01
00
10
11
00
01
00
10
10
01
00
11
11
00
00
10
00
00
00
10
10
00
11
10
10
10
00
00
10
10
00
00
10
01
11
11
01
11
10
00
00
10
10
00
00
01
00
10
10
10
01
10
00
10
11
10
10
00
00
01
00
10
10
00
00
11
00
11
00
10
00
00
00
10
00
10
10
00
10
00
01
10
11
00
10
10
10
11
00
00
10
00
10
11
00
00
00
01
01
11
11
10
00
01
10
01
10
11
00
10
10
10
01
00
01
00
11
11
10
10
10
00
01
00
11
11
10
00
10
10
01
01
10
01
10
10
01
10
10
00
00
10
00
00
11
00
01
11
10
00
11
00
11
10
00
00
01
00
10
10
01
11
11
01
10
10
01
01
00
00
10
01
10
10
10
10
00
10
01
01
11
01
10
10
00
00
11
10
00
00
01
01
00
00
10
10
10
11
10
01
10
11
11
10
11
00
00
10
01
00
01
00
11
00
10
00
00
01
00
10
00
10
11
10
10
00
10
10
00
01
00
01
01
01
10
01
00
01
10
10
01
10
11
00
00
10
11
00
00
10
10
10
00
00
00
10
00
00
00
11
10
11
11
10
10
11
01
01
01
10
11
10
00
10
00
10
11
00
00
11
10
00
11
10
10
10
11
00
00
11
10
10
00
10
00
00
10
11
10
00
01
10
11
00
11
00
00
01
10
01
00
01
11
10
10
10
11
01
10
10
01
00
00
10
01
00
01
00
10
10
11
10
00
00
10
10
10
10
10
00
10
00
01
10
01
11
01
00
11
10
00
01
11
01
11
10
01
00
10
10
00
00
10
10
01
00
01
10
00
11
10
10
01
10
10
10
00
10
00
11
11
11
00
00
10
00
01
11
10
10
00
00
00
10
10
10
10
11
10
00
11
01
10
01
10
01
00
10
10
00
11
00
01
11
11
11
10
00
00
00
00
10
10
00
11
11
10
00
00
10
01
01
01
11
10
01
00
11
00
00
00
10
00
10
10
00
01
10
10
10
01
10
00
01
00
00
00
00
10
01
00
11
11
01
00
00
11
00
00
00
10
10
11
01
01
00
00
10
00
10
10
00
10
11
00
00
01
10
10
00
00
00
00
10
00
00
10
00
10
10
00
00
00
10
01
11
01
01
10
01
00
00
11
10
01
01
00
10
10
10
11
10
01
10
00
01
00
01
10
00
00
11
11
11
00
01
00
01
11
11
10
00
00
10
00
10
10
00
11
00
10
01
00
01
11
00
01
00
10
00
01
11
10
00
00
10
10
00
10
10
11
01
10
10
01
00
00
11
11
00
01
00
00
10
10
01
10
10
10
10
00
10
00
10
00
00
00
00
00
10
00
11
00
00
11
10
10
10
10
01
10
10
00
01
10
00
10
10
10
10
00
10
10
00
10
00
11
11
11
11
00
00
00
00
00
01
10
11
00
10
10
01
00
10
01
00
10
00
10
11
00
00
00
10
00
11
00
01
01
10
10
10
10
00
00
10
01
00
01
00
00
00
00
10
10
00
01
01
10
00
00
00
00
10
00
10
10
00
00
01
10
00
11
00
10
10
00
00
10
00
01
10
11
00
01
10
01
10
10
11
11
10
01
10
10
10
10
00
01
01
10
10
10
00
10
10
01
01
11
11
00
00
01
11
11
10
00
01
10
11
10
10
00
00
00
10
10
00
10
11
10
00
10
11
00
11
00
10
01
11
01
01
01
10
11
00
00
11
10
11
00
01
10
11
00
10
10
01
11
01
01
10
00
01
10
00
00
10
10
00
10
10
10
10
00
00
00
10
10
00
10
01
00
00
10
10
00
10
00
01
10
11
11
10
10
10
11
00
11
11
00
00
00
10
10
01
00
00
10
10
01
00
00
11
01
00
10
00
00
10
01
01
10
10
00
01
10
11
00
01
11
00
11
11
00
01
11
10
11
01
00
10
01
01
11
11
00
00
10
11
00
01
10
10
00
01
00
10
11
10
10
00
10
10
10
10
00
00
11
10
00
10
10
00
10
10
00
01
10
11
00
10
10
01
00
10
11
10
10
01
00
00
10
10
10
10
10
11
10
11
10
00
10
10
10
01
01
10
11
11
11
10
00
10
10
10
00
10
10
00
10
00
00
00
10
01
10
00
10
10
10
10
10
00
01
10
10
00
01
10
00
00
10
00
10
00
10
10
10
01
10
11
00
11
00
10
00
00
00
01
10
10
10
10
10
00
01
10
10
10
01
01
00
10
10
00
10
10
00
10
10
00
00
00
00
11
00
00
10
01
01
10
00
00
00
11
10
00
10
11
11
11
10
01
00
01
00
00
00
10
11
01
00
10
10
00
00
00
10
00
00
11
00
11
10
10
10
11
10
00
10
01
10
10
00
00
11
00
00
10
00
00
10
10
10
10
01
00
10
01
10
00
10
11
01
00
11
01
10
10
01
10
11
00
00
00
10
11
00
11
11
11
11
11
10
11
00
01
10
01
00
01
11
10
01
00
01
10
11
10
01
01
10
11
10
11
01
00
10
01
11
11
00
01
10
11
00
01
00
11
01
10
10
00
01
10
10
00
00
10
00
11
00
01
00
01
00
11
01
11
10
11
00
00
10
10
00
01
00
00
10
01
00
00
01
00
00
10
01
11
00
00
10
11
00
00
10
11
01
10
11
00
11
10
00
00
10
10
00
10
00
10
10
10
00
11
11
11
00
11
11
11
01
10
00
00
10
01
00
10
11
10
00
10
01
11
10
01
01
10
10
10
01
10
10
01
00
10
11
11
11
01
00
00
11
01
00
10
00
00
00
10
10
00
00
10
11
11
01
10
10
01
10
00
10
11
00
10
00
00
10
11
00
00
00
00
00
10
10
11
10
00
00
11
00
11
11
00
00
01
00
10
11
01
11
00
11
00
00
01
01
10
11
00
01
10
01
00
10
10
00
00
01
01
10
10
10
10
11
00
10
10
01
10
00
00
00
00
00
01
11
10
10
00
10
00
01
00
10
10
10
10
00
01
10
00
10
01
11
10
00
00
01
10
00
11
10
11
00
10
10
00
00
11
00
00
10
10
00
10
10
01
11
10
00
00
00
10
11
11
00
00
11
01
11
10
11
00
00
11
11
00
00
00
10
00
01
11
01
10
00
00
10
00
00
11
11
00
10
00
10
01
01
01
01
00
11
10
01
11
00
10
01
00
10
00
10
10
01
10
00
01
10
00
01
00
11
11
01
01
10
11
10
11
10
00
00
10
01
00
00
10
00
11
00
11
11
00
11
00
11
01
01
10
11
10
00
11
10
00
11
10
00
11
10
10
10
00
01
00
10
00
10
11
01
11
00
11
10
00
00
10
00
11
00
01
10
01
10
00
10
10
00
10
10
01
10
00
00
01
10
01
10
00
10
11
10
01
00
11
11
10
01
10
01
10
10
01
00
10
00
00
10
11
00
00
01
00
00
01
10
10
00
11
11
00
00
00
11
00
10
00
10
10
10
01
00
11
00
00
01
10
10
00
11
11
01
10
10
11
11
00
10
00
00
10
00
01
11
11
01
11
00
00
10
10
00
01
00
00
10
10
00
00
11
10
00
11
00
11
10
10
00
10
11
00
00
00
10
10
00
01
00
00
00
10
11
01
00
10
11
00
01
11
10
00
00
11
10
10
00
11
00
10
10
00
10
10
10
10
10
00
11
11
10
10
00
00
11
11
01
01
11
10
00
10
10
10
00
00
10
11
10
10
10
11
00
10
11
11
10
01
00
01
01
01
10
11
00
01
00
01
00
10
10
00
10
11
00
00
11
11
10
00
00
10
11
00
00
10
10
00
01
11
00
11
10
00
10
11
11
11
00
00
11
10
01
00
10
11
00
11
00
10
10
11
00
00
11
00
01
10
10
01
10
10
11
00
00
01
10
10
00
10
10
00
00
10
10
10
11
00
10
11
10
10
00
10
00
00
00
10
10
10
11
10
10
11
01
10
10
10
00
00
00
01
10
01
00
11
10
00
00
00
01
11
10
01
01
00
00
01
00
01
10
11
10
00
01
00
01
11
11
01
00
11
10
01
11
10
00
01
01
10
10
01
00
00
01
10
10
00
00
00
00
10
10
10
01
11
10
11
11
00
00
00
00
11
00
00
11
00
10
10
00
10
10
00
00
11
11
00
01
10
00
10
10
01
00
00
10
10
00
10
01
11
01
10
11
11
00
00
00
10
01
10
10
00
10
01
10
11
01
00
10
00
00
00
01
00
10
10
11
01
01
10
10
10
10
10
00
00
11
10
11
10
00
10
10
00
00
10
10
11
10
00
00
01
00
00
00
10
00
10
10
01
01
10
00
10
00
00
00
01
10
10
10
10
11
00
10
10
01
00
10
10
10
00
00
00
00
11
10
01
00
10
01
00
01
00
01
10
10
00
00
10
10
10
01
10
10
10
00
00
11
10
11
11
11
11
00
10
10
00
11
10
01
00
00
01
11
00
00
00
11
11
01
00
11
11
00
10
00
01
11
00
10
10
10
10
11
10
10
01
00
01
01
10
00
00
11
00
00
00
00
10
00
10
10
01
00
10
10
11
10
00
01
11
01
11
11
10
10
10
10
10
00
00
11
10
00
00
00
00
11
00
01
10
11
00
01
10
10
10
01
10
11
10
01
00
10
10
10
11
01
10
10
01
10
10
11
10
01
00
10
10
10
00
10
01
00
10
10
00
11
10
11
00
10
01
00
10
11
10
01
11
10
01
01
10
11
00
10
00
01
10
00
00
10
10
11
10
00
00
11
00
00
00
10
00
00
01
00
00
10
10
00
10
10
00
00
11
10
00
00
10
00
11
10
11
00
00
00
01
00
10
11
00
01
10
10
00
00
00
10
10
00
01
11
10
00
00
00
10
00
00
10
00
00
11
11
10
01
00
11
11
01
10
00
10
11
10
00
01
00
00
10
00
11
10
01
00
01
00
00
01
10
11
00
01
10
10
10
10
00
00
10
11
00
10
11
10
10
00
00
00
10
00
00
01
00
01
11
00
10
10
11
00
00
00
10
10
00
00
10
11
01
01
01
10
10
00
10
11
10
01
00
00
11
01
10
10
10
00
00
00
11
10
10
00
10
00
01
11
10
00
11
10
00
10
01
00
00
00
11
00
10
10
00
10
00
00
10
01
01
10
01
11
01
00
00
01
01
11
10
00
10
10
00
10
00
10
01
10
01
11
00
00
10
01
11
00
01
11
01
01
01
10
01
00
10
00
10
00
11
10
11
00
01
10
11
00
11
10
01
11
11
10
00
00
10
00
00
10
10
10
11
00
10
01
10
10
10
00
10
00
01
10
10
10
01
01
00
10
10
00
00
11
11
00
10
11
00
00
11
10
00
01
11
11
00
10
11
00
10
10
10
00
00
11
10
01
01
01
10
10
01
10
10
00
01
10
00
10
11
00
11
00
01
00
01
10
00
00
10
00
00
10
11
01
00
10
01
00
11
10
00
00
10
01
00
10
10
11
00
10
11
00
10
11
10
00
10
10
00
11
00
00
11
01
00
01
10
11
01
11
11
10
00
01
00
00
01
10
10
00
00
01
00
10
10
00
00
10
10
00
00
00
00
00
00
11
10
00
00
11
00
01
10
01
10
01
00
10
11
11
01
00
10
00
10
00
10
11
00
00
01
00
00
01
11
01
01
10
10
10
00
00
11
10
00
10
00
01
00
00
10
01
00
11
10
11
00
10
11
00
00
10
10
01
10
00
00
00
10
00
10
10
00
10
00
00
00
10
11
11
01
01
01
00
00
10
11
00
00
10
11
00
00
11
10
11
11
00
00
00
10
11
00
00
11
10
11
11
01
00
00
10
11
10
10
01
00
10
10
01
00
00
10
10
00
10
01
00
10
00
10
11
00
11
11
01
00
11
11
11
00
00
10
01
11
00
10
11
10
01
10
01
10
01
11
01
01
11
00
10
10
01
10
00
00
10
01
00
01
11
00
00
10
00
00
11
10
00
00
10
01
01
10
10
01
10
10
01
01
00
10
11
00
00
11
10
11
10
10
00
01
01
10
01
00
10
11
00
10
01
00
11
01
10
10
00
10
10
01
00
11
10
00
01
00
11
11
01
00
10
00
01
11
10
11
00
00
01
00
01
11
10
01
10
00
10
00
01
00
00
10
00
00
00
11
10
00
10
11
00
11
10
01
00
01
10
11
00
00
10
10
00
00
10
10
10
10
00
00
00
11
10
11
00
11
10
10
10
00
00
10
00
01
00
10
10
00
10
01
00
10
10
00
00
11
00
11
00
01
00
10
00
00
11
01
00
10
00
00
11
00
01
10
11
00
00
11
00
10
10
10
00
00
00
10
10
00
10
01
00
10
10
01
10
00
10
00
11
00
10
10
00
10
01
10
10
10
01
01
10
11
00
01
11
00
10
10
01
00
10
10
11
00
00
10
10
00
00
10
00
01
11
01
00
00
01
01
10
11
00
00
01
01
10
00
11
11
00
11
10
10
10
10
10
00
00
11
10
10
11
10
01
00
01
01
00
10
10
01
01
10
00
10
10
11
00
01
00
10
11
11
10
10
11
00
10
00
00
10
11
00
11
10
00
10
11
10
00
11
10
00
01
00
10
00
00
01
00
11
10
11
00
00
11
10
00
01
01
11
00
01
10
10
01
00
00
00
11
11
10
00
00
00
10
10
10
11
00
10
00
10
00
10
01
00
00
10
01
11
11
10
00
01
00
01
00
00
10
01
10
11
00
00
10
11
10
01
10
00
00
01
01
10
00
01
10
10
10
11
01
10
10
00
00
00
10
10
10
00
01
10
00
10
00
10
00
01
11
10
00
11
00
11
10
00
00
10
00
10
00
00
11
00
11
10
10
11
10
11
00
10
10
00
10
01
00
11
00
10
00
01
00
11
00
00
01
11
01
10
10
00
10
00
10
10
01
01
00
10
11
11
00
01
10
10
11
10
00
11
00
10
01
00
01
00
00
01
10
00
10
10
00
00
11
00
00
10
10
01
00
10
11
00
11
00
00
01
00
01
11
00
00
10
00
00
10
10
10
01
00
10
10
11
00
11
10
01
11
11
10
00
01
11
01
11
00
01
10
11
10
10
00
10
10
11
00
00
00
10
00
00
00
11
01
10
01
10
00
10
00
11
11
00
00
00
10
10
01
01
01
01
10
10
00
11
10
11
00
00
10
10
01
00
10
11
00
11
10
11
10
00
01
01
01
11
11
11
00
00
10
00
00
10
10
00
10
11
10
10
10
00
01
00
00
10
00
01
10
10
00
01
00
01
10
01
01
10
00
10
10
11
01
01
11
11
01
10
10
00
11
10
11
11
00
01
01
00
10
00
10
00
00
01
10
11
11
10
11
10
11
10
10
01
00
10
01
00
10
10
11
00
01
00
10
01
11
00
01
10
11
00
00
00
10
10
10
00
01
01
10
10
10
10
10
10
11
11
00
00
01
10
01
01
00
01
00
10
11
10
00
10
00
01
10
00
10
10
01
10
00
10
10
00
00
11
10
11
00
10
10
00
10
00
11
10
01
01
10
01
01
00
10
10
01
01
10
10
01
00
01
00
10
01
00
01
10
00
00
00
01
00
00
10
10
10
00
01
01
11
01
00
01
11
10
00
10
00
11
10
01
10
00
00
00
10
01
01
10
11
01
00
01
10
10
00
00
10
01
00
01
00
10
01
10
10
00
01
10
10
00
00
10
10
01
10
10
00
11
10
00
10
00
01
10
01
01
10
00
01
10
10
00
10
10
10
11
00
00
00
10
10
11
11
00
10
00
00
00
10
11
11
10
00
10
01
11
10
10
00
00
10
00
00
00
10
00
01
00
10
01
00
00
11
11
01
10
10
00
01
00
10
11
01
01
00
10
00
10
01
11
01
00
10
10
10
01
11
11
00
00
10
01
00
10
10
00
00
11
00
01
00
10
00
00
11
10
10
10
10
00
01
00
10
00
10
00
00
01
10
00
00
11
00
00
11
00
00
10
10
10
01
00
10
11
10
10
10
00
00
00
10
10
00
00
00
00
11
11
11
01
00
00
11
01
00
10
10
01
10
00
00
01
10
01
00
00
00
11
00
10
01
00
11
10
11
10
00
00
11
10
01
01
01
00
00
00
10
10
00
10
11
10
10
10
10
01
01
10
10
01
01
00
01
10
11
10
00
00
00
10
10
00
10
11
10
00
10
11
11
01
10
10
11
00
11
10
01
00
00
10
11
01
00
11
10
00
10
11
11
01
10
10
10
10
00
00
11
00
01
01
00
00
01
10
10
01
00
11
10
10
00
01
10
10
00
10
10
01
00
10
10
00
01
00
01
10
01
11
00
11
10
11
10
10
10
11
10
01
01
11
00
11
10
10
00
00
10
10
01
00
11
00
10
00
11
01
00
10
10
10
10
00
00
10
11
11
11
10
10
00
10
11
00
10
11
01
01
10
10
10
01
00
00
00
11
10
01
10
10
01
01
01
11
10
01
00
10
00
01
10
10
11
00
11
00
00
01
10
10
00
00
10
00
00
11
10
01
01
00
00
11
00
01
10
10
10
10
10
10
00
01
00
10
10
10
01
00
00
10
01
00
00
10
10
00
10
01
00
01
10
10
00
01
11
10
10
00
10
10
10
10
11
00
11
00
01
00
00
00
10
00
00
10
10
00
11
10
10
10
00
11
01
00
00
00
10
11
10
00
00
10
00
01
11
11
01
10
00
01
01
11
00
00
00
11
10
00
11
10
00
10
11
00
10
10
00
00
10
10
01
00
00
10
00
11
00
00
00
00
00
11
01
01
11
00
11
00
00
10
10
11
10
00
00
10
01
11
01
10
01
10
00
00
10
10
01
10
00
01
10
11
10
01
00
11
10
00
01
11
10
11
10
01
01
10
10
00
00
11
10
10
10
00
11
00
00
10
11
10
10
10
00
10
10
01
00
10
10
10
01
00
11
00
10
11
00
10
00
11
11
10
10
10
10
00
11
00
10
01
00
11
00
11
10
10
00
11
00
00
00
00
10
10
10
01
00
11
00
00
10
10
10
10
01
11
00
00
11
01
10
01
01
11
10
00
10
00
00
11
11
00
00
11
10
10
01
10
10
10
10
00
00
10
11
00
11
10
11
01
01
00
10
00
01
11
01
11
11
01
00
10
01
10
11
00
00
10
10
00
11
10
01
11
10
10
11
00
10
10
00
10
11
00
11
00
10
00
10
10
11
10
11
10
00
00
00
10
00
10
01
00
11
10
10
01
01
11
11
11
10
00
00
01
10
10
00
00
10
00
00
10
00
00
01
10
00
10
10
00
10
10
11
10
00
10
11
10
00
11
00
10
11
00
11
10
10
00
00
11
00
11
10
00
11
10
00
10
00
11
10
01
10
10
00
00
01
00
00
11
00
00
11
01
00
10
11
00
01
10
11
00
10
01
11
00
01
00
01
11
10
11
00
01
10
10
10
11
00
01
01
10
00
00
10
11
11
01
10
00
00
00
01
00
00
10
11
10
11
00
10
10
10
10
00
10
11
00
00
00
00
10
00
01
10
01
10
00
00
00
01
11
00
01
10
11
00
11
00
00
01
10
00
01
11
11
11
10
00
10
10
00
00
10
10
10
00
10
10
10
10
00
01
10
00
00
11
00
10
11
01
00
00
10
10
00
00
11
11
00
01
00
00
01
00
10
10
00
00
10
10
01
00
11
10
00
10
10
10
00
11
10
01
00
01
10
10
11
00
11
10
00
00
00
10
10
10
00
11
11
11
11
10
00
01
01
01
10
01
01
10
10
10
01
00
10
10
10
00
10
00
10
01
00
10
10
00
10
10
00
10
10
10
10
00
11
00
10
00
00
00
10
10
01
11
10
00
00
01
01
10
01
00
00
10
01
01
11
10
10
11
01
10
10
10
11
00
01
00
10
10
01
00
00
10
10
11
10
11
11
00
00
00
00
01
00
11
01
11
01
00
01
10
10
10
10
01
00
00
10
10
10
00
11
10
00
10
10
10
00
01
00
11
00
10
00
10
01
01
10
01
00
10
11
00
01
01
00
11
10
10
00
01
10
10
00
00
10
10
00
01
10
00
11
10
00
01
10
11
00
01
10
01
10
01
01
10
01
00
00
10
10
01
10
11
01
00
00
01
01
01
10
10
11
10
00
01
11
10
10
00
00
10
10
11
00
01
11
10
10
10
11
01
10
10
00
10
10
00
00
10
10
11
10
11
10
00
00
01
10
11
00
10
01
00
00
00
00
11
10
00
01
00
11
01
10
10
11
00
01
00
11
00
00
10
01
10
10
10
11
00
11
10
00
00
11
00
11
00
01
10
00
11
11
11
00
00
00
00
10
10
11
01
10
01
11
11
00
00
01
01
10
10
10
00
01
00
10
10
01
10
10
01
00
11
00
11
10
00
01
11
11
01
01
11
10
01
10
10
00
01
10
10
10
00
00
00
10
11
10
01
01
10
10
11
01
10
11
00
01
10
10
00
00
00
10
10
10
00
00
00
10
10
00
01
00
01
01
10
10
01
10
01
01
10
00
10
11
00
01
10
11
00
10
01
10
11
00
00
01
00
11
10
11
10
10
10
00
00
10
00
01
11
00
01
10
00
00
11
10
10
01
01
01
11
11
11
01
10
01
11
00
00
10
10
11
01
00
11
10
00
00
10
00
00
11
10
10
01
00
00
10
10
10
00
01
11
00
00
00
01
10
00
01
10
11
00
10
00
00
01
00
00
11
10
00
10
00
01
00
10
10
10
10
10
10
00
10
01
00
00
01
11
00
00
01
01
10
00
10
10
10
00
00
01
00
11
01
11
00
00
01
10
10
11
01
00
01
10
11
00
00
00
01
11
10
00
00
00
00
00
10
11
01
10
11
00
10
10
00
10
00
10
10
10
00
00
11
00
11
00
11
01
10
00
11
01
10
11
00
00
01
11
11
00
01
10
01
00
10
00
00
10
10
10
00
10
00
01
00
10
00
11
10
00
11
10
10
00
00
10
11
11
01
01
10
01
01
01
11
01
01
00
00
11
10
01
01
00
11
00
00
11
01
11
01
10
10
10
10
10
01
00
10
10
10
01
10
00
00
00
10
10
10
11
10
10
00
00
00
10
10
00
00
11
11
00
10
01
10
00
11
01
11
10
01
10
00
10
11
11
00
00
00
11
00
10
11
00
01
11
10
01
10
11
10
01
10
10
00
00
10
10
00
00
11
01
01
10
00
00
10
01
01
10
10
11
00
00
10
10
01
10
00
01
01
11
01
11
10
00
01
01
10
11
01
00
10
00
10
10
00
00
00
00
10
00
10
00
00
10
10
11
11
00
00
11
11
11
00
10
00
00
10
10
00
00
10
11
10
01
00
01
10
10
01
10
11
01
00
10
10
01
10
11
00
00
10
10
10
01
10
01
10
01
10
10
00
10
00
00
10
01
10
00
10
10
10
01
00
10
00
01
01
10
00
00
10
00
00
00
11
10
01
11
00
01
00
00
10
11
00
10
01
00
11
01
10
10
01
00
01
11
00
10
11
01
01
10
11
00
00
10
10
00
00
00
10
00
01
11
01
11
10
00
01
10
00
01
00
11
00
01
10
11
10
00
01
10
10
10
00
00
10
10
00
10
10
00
00
11
10
00
10
10
00
10
01
01
00
01
10
11
00
01
00
11
00
00
01
01
11
10
01
01
10
10
10
00
00
10
00
11
11
00
00
11
10
10
10
00
00
00
00
01
00
10
00
11
10
11
10
00
00
01
10
00
00
10
10
11
01
11
00
01
10
00
00
10
01
01
10
10
01
10
10
00
10
01
01
10
01
10
11
00
10
10
00
01
10
01
10
10
11
00
10
01
01
10
00
00
00
10
00
01
10
10
00
11
10
01
11
00
11
01
10
10
10
01
00
10
10
10
10
00
00
00
11
11
00
01
10
01
01
10
10
00
01
10
01
00
10
10
11
00
00
10
10
10
10
11
01
00
10
10
01
00
10
11
00
00
00
10
10
00
00
10
00
01
11
10
01
00
01
10
10
00
01
10
11
00
11
01
11
10
11
00
01
11
11
00
00
00
00
11
01
10
11
10
00
10
10
10
00
01
10
00
01
10
00
00
10
00
00
01
10
11
11
00
01
11
10
00
00
10
00
00
11
10
00
00
01
11
00
11
10
11
01
10
10
10
10
01
00
10
10
11
10
01
10
00
11
11
10
00
01
10
10
10
11
11
10
00
01
00
00
00
10
10
01
00
01
00
10
10
10
01
01
00
10
10
01
11
10
00
00
10
10
01
10
10
00
00
10
10
11
00
11
01
00
01
10
10
10
01
11
01
01
10
01
00
00
00
01
00
10
10
00
01
00
10
10
01
10
10
01
00
10
00
01
00
01
11
11
00
01
01
00
00
11
10
00
10
11
01
10
00
00
00
01
11
10
00
10
10
00
10
10
10
01
01
10
00
00
10
10
00
00
10
11
00
00
00
00
00
11
01
01
11
10
10
01
00
00
10
10
01
11
10
10
10
00
11
01
00
11
00
00
00
00
11
11
01
00
01
10
10
10
00
00
00
10
00
00
01
11
10
10
10
11
10
00
10
11
00
00
10
11
11
10
10
00
10
00
00
10
10
01
10
00
00
00
11
00
01
01
10
10
00
10
11
01
00
11
10
01
10
10
00
10
01
00
00
11
10
10
00
00
00
01
11
01
00
10
01
10
10
00
11
10
01
10
10
00
01
10
00
00
00
11
00
00
10
00
00
10
01
00
10
11
10
00
01
00
00
00
10
11
10
01
00
10
10
10
00
00
01
10
10
10
00
00
00
11
01
00
00
01
00
10
11
00
11
00
11
00
11
00
00
11
01
10
10
10
01
00
01
10
11
10
01
00
10
10
10
00
00
11
10
10
01
00
01
11
10
10
10
10
00
00
10
00
11
00
11
11
01
11
11
01
00
00
10
10
00
11
10
01
01
00
11
10
10
01
00
10
00
10
00
10
11
10
11
10
10
01
10
11
10
11
00
00
10
11
00
01
10
10
10
00
11
01
00
00
10
00
10
00
11
01
10
00
00
01
10
10
10
01
00
10
10
00
11
11
00
11
01
00
10
10
01
10
01
01
01
11
00
01
10
01
10
11
10
00
10
11
01
00
10
11
10
00
01
10
10
01
10
10
00
00
00
00
11
10
10
10
01
11
00
01
10
01
10
10
10
11
11
00
10
01
11
01
10
10
00
00
01
10
11
10
01
00
10
00
10
10
00
00
00
11
10
10
00
10
10
11
10
01
10
01
00
11
01
01
11
10
00
10
01
00
10
10
00
00
10
11
00
11
00
10
10
10
00
01
10
00
11
11
10
10
10
11
00
00
10
00
00
11
00
00
10
00
10
00
10
00
00
00
01
10
01
00
01
00
00
10
10
01
01
10
10
10
01
01
00
11
10
11
01
10
01
11
00
00
11
01
01
10
11
00
11
00
01
10
11
00
10
01
00
00
01
10
10
10
00
01
00
10
00
00
10
00
00
10
11
00
10
10
10
00
01
11
00
11
01
01
00
01
10
10
01
10
00
01
10
00
01
11
10
00
00
11
10
10
00
00
10
01
10
11
10
01
01
11
00
01
01
10
11
00
00
10
10
00
10
10
01
11
11
00
00
00
01
10
10
00
00
00
00
10
10
01
00
01
01
00
10
11
11
00
00
10
10
00
01
00
00
00
10
00
00
10
10
00
00
00
00
00
10
10
01
10
11
01
10
00
10
11
01
00
11
00
10
10
11
00
10
10
01
00
01
00
01
00
01
10
00
11
10
10
00
00
11
10
00
00
00
00
00
01
01
01
11
10
00
00
10
10
00
01
10
00
10
10
10
10
01
11
10
10
00
10
00
11
10
10
11
00
01
10
00
01
01
01
01
10
00
00
10
00
11
10
10
10
00
00
10
00
11
00
00
00
10
10
01
11
10
01
01
10
11
00
01
11
10
01
00
10
11
00
00
11
10
01
01
01
10
10
00
01
01
10
11
00
10
00
01
10
10
10
00
00
10
10
11
00
01
11
10
10
00
10
01
10
10
10
11
10
10
01
00
10
01
10
00
10
01
10
10
00
10
10
10
01
01
00
10
10
00
00
00
11
10
01
01
10
00
10
01
11
00
00
00
00
00
01
10
11
10
01
10
00
10
01
10
10
11
11
10
00
10
00
10
10
00
10
10
01
11
10
11
11
11
10
01
10
10
00
01
10
10
10
00
10
00
10
01
10
11
11
11
00
10
10
00
00
11
01
00
00
10
10
00
10
10
10
00
00
10
10
11
10
01
01
10
01
01
00
10
10
01
10
10
00
11
11
00
00
00
10
11
10
01
01
00
00
10
10
00
01
10
10
11
10
01
00
00
10
00
10
01
01
00
10
10
00
01
01
10
10
10
00
11
01
00
00
01
01
10
01
00
10
00
00
10
00
00
00
00
10
00
00
00
00
10
00
00
01
10
01
11
10
11
01
00
10
01
10
00
01
00
01
10
01
00
01
00
01
10
10
10
10
00
00
10
01
10
11
11
11
00
01
00
00
11
00
00
10
11
10
00
11
10
01
10
00
00
10
11
10
11
00
01
10
11
01
01
00
00
00
10
10
00
00
10
10
10
10
10
00
01
10
00
10
11
01
00
00
10
11
00
10
11
01
00
00
10
10
10
11
01
11
01
01
01
11
01
11
00
00
10
11
10
00
00
11
10
00
10
00
10
11
00
11
00
00
10
10
01
01
10
10
00
00
01
11
10
11
00
11
00
00
00
00
11
10
10
00
00
10
10
01
11
10
10
10
00
10
10
10
10
10
00
00
11
01
00
00
00
00
00
10
00
11
11
01
01
11
00
00
00
00
00
10
10
10
10
11
11
01
00
00
10
00
11
11
00
00
10
00
01
10
00
10
00
01
10
11
00
11
10
00
11
11
10
01
10
01
00
10
10
01
11
11
10
01
01
11
11
01
10
11
00
00
00
11
10
00
10
01
01
10
00
00
00
10
10
00
00
00
01
10
00
01
10
11
11
11
00
01
00
10
10
00
00
10
11
10
01
01
10
11
11
11
11
01
00
01
00
10
10
00
10
10
00
11
10
00
11
10
01
11
10
10
10
11
00
00
00
01
11
11
10
00
10
00
10
10
00
00
10
00
00
10
10
10
00
01
10
10
11
00
01
00
00
10
10
00
00
01
11
10
01
01
00
11
00
01
10
01
00
11
10
00
00
10
10
00
00
10
01
00
10
11
10
00
10
10
00
10
00
11
10
00
10
01
00
10
11
00
11
11
10
10
00
00
00
00
10
00
10
01
00
10
10
00
10
00
00
10
00
00
00
01
00
11
11
10
01
10
00
10
11
00
01
00
11
11
00
10
00
11
00
01
11
10
10
10
11
00
00
10
11
10
00
01
01
00
01
10
11
00
10
00
10
11
00
01
10
11
00
00
10
00
10
00
10
10
10
01
10
10
10
10
10
11
10
00
00
00
00
10
10
00
10
10
01
10
10
00
11
11
11
00
00
01
10
10
00
11
11
11
10
10
01
00
00
01
11
00
10
11
01
01
10
11
00
00
00
11
10
01
10
10
10
00
11
00
00
11
00
00
11
01
11
01
00
00
10
10
00
01
00
10
00
00
10
00
11
00
11
00
00
10
10
11
01
10
00
11
10
10
00
00
11
00
10
00
10
10
00
11
01
11
00
00
10
10
01
11
00
01
10
10
01
11
01
10
10
01
10
10
10
00
00
11
01
10
01
00
11
01
00
01
10
11
01
00
10
00
11
10
00
00
10
10
10
10
00
10
11
01
10
11
11
10
00
00
00
10
11
00
10
00
11
11
01
00
01
10
10
11
10
10
01
00
10
11
00
10
10
10
10
10
10
00
10
11
00
11
10
00
01
01
10
11
01
01
01
00
11
10
11
01
00
10
10
01
01
00
01
01
11
10
10
01
10
01
10
01
01
00
10
10
10
01
00
11
10
00
01
11
01
00
10
10
11
10
10
00
11
10
10
00
00
10
11
01
10
10
10
01
00
10
10
00
01
10
10
00
00
11
01
00
11
00
00
11
00
00
00
01
10
00
11
01
01
11
11
00
10
10
10
10
00
00
10
10
00
11
01
00
11
11
00
00
01
01
11
10
11
11
00
10
01
00
10
10
00
00
01
00
00
10
01
00
00
10
10
10
01
11
00
11
01
00
10
10
00
00
01
10
10
10
10
01
10
01
00
11
01
10
11
10
10
00
10
10
00
00
01
11
10
00
10
11
10
10
11
00
00
00
01
11
00
00
10
11
00
11
01
10
10
11
10
00
00
00
10
00
11
10
01
00
10
10
11
10
01
10
10
11
10
11
01
10
11
11
00
00
00
00
00
10
10
00
11
11
10
00
10
11
01
11
10
01
00
10
10
01
11
00
01
10
11
10
10
01
00
11
10
01
00
01
01
10
00
01
00
10
11
00
10
10
00
00
10
11
00
10
10
01
00
10
01
10
00
00
11
10
01
10
00
10
10
00
00
00
11
00
11
10
10
01
00
00
01
10
10
11
10
10
10
11
10
11
00
00
01
11
01
10
00
00
10
00
01
10
10
00
00
00
10
00
01
11
01
11
10
01
10
10
00
00
10
10
01
10
11
10
00
00
00
11
00
00
11
00
10
10
10
10
11
01
00
10
01
01
00
00
00
00
10
01
10
10
01
00
00
10
11
10
00
01
01
00
00
10
11
10
11
00
10
10
01
11
00
00
10
10
11
00
10
10
00
00
00
10
00
01
10
11
11
10
11
01
00
00
00
11
11
11
11
01
10
01
00
11
01
01
10
10
10
00
10
01
01
11
10
00
01
00
01
10
00
00
00
10
01
01
10
10
10
10
10
00
10
00
00
01
00
00
10
10
01
11
10
10
00
11
11
10
01
11
10
00
00
00
10
01
00
11
00
00
11
00
10
10
10
00
00
10
00
11
11
10
00
01
00
00
01
10
00
00
00
00
10
00
11
10
11
00
11
01
00
01
00
10
10
10
00
00
00
10
01
11
10
10
11
10
00
11
11
01
00
01
00
10
10
00
10
10
10
00
10
10
00
00
11
00
10
11
00
01
10
01
11
11
00
10
01
00
00
10
01
11
10
10
01
01
00
00
00
11
10
00
10
11
00
00
10
10
00
00
10
01
00
10
00
01
10
10
01
01
10
01
10
10
10
11
10
00
10
10
11
00
01
01
00
11
00
00
00
10
10
00
10
10
00
00
11
10
00
00
01
11
01
00
01
10
11
10
00
11
10
11
01
11
01
00
11
10
10
01
10
10
00
00
00
00
10
11
00
01
00
10
10
01
00
00
10
10
11
00
00
01
11
01
01
11
00
11
00
10
10
00
10
10
11
00
11
00
00
10
00
01
01
10
00
10
11
00
10
10
00
00
00
00
10
01
01
11
01
00
10
01
01
10
10
01
10
01
00
00
00
00
10
00
10
10
10
11
01
10
11
01
00
01
00
10
11
00
00
10
11
10
10
10
00
11
10
01
00
11
11
10
11
01
00
01
01
10
01
10
11
10
01
00
10
01
01
10
10
00
10
10
00
00
10
01
00
00
10
10
00
00
00
01
01
00
00
11
01
01
10
10
10
00
00
11
11
01
00
01
10
00
11
10
01
01
01
10
10
00
00
00
11
10
00
10
10
00
10
00
00
01
10
10
00
10
00
00
11
10
10
11
00
10
10
10
00
10
00
00
00
10
11
00
10
01
10
10
00
10
11
10
00
00
00
10
01
00
00
10
10
10
10
10
01
01
11
00
10
10
01
01
10
10
00
11
10
10
10
00
10
10
00
00
10
11
10
10
11
10
11
10
01
00
10
01
01
00
11
00
00
10
00
00
10
10
00
00
11
00
10
11
11
01
10
11
00
11
01
11
01
01
10
10
11
11
00
10
10
10
00
00
11
00
00
10
10
00
10
00
11
01
00
10
01
00
00
10
00
00
00
10
10
11
01
01
00
11
10
00
10
00
00
10
11
10
10
00
00
01
01
00
10
10
01
00
10
00
01
00
00
10
11
10
01
01
01
10
11
10
01
00
11
10
01
10
10
01
00
00
11
00
00
10
10
00
00
00
10
10
01
10
00
00
01
00
10
11
10
00
11
11
01
10
11
00
10
00
00
11
10
11
00
00
00
01
00
00
10
10
00
00
10
11
10
11
10
10
01
00
00
10
11
00
00
10
10
11
10
10
10
10
10
11
01
11
00
00
11
11
00
01
00
10
11
01
01
10
10
00
00
10
01
11
11
00
00
00
10
10
11
10
00
11
10
11
01
00
11
10
10
00
11
11
11
00
00
10
10
00
00
00
10
00
10
01
10
00
01
10
11
00
11
11
10
01
10
10
00
10
11
11
00
01
01
10
00
10
00
11
10
11
01
00
00
10
10
10
10
00
11
00
00
10
00
00
00
11
01
11
00
00
10
11
01
00
11
11
10
00
11
10
00
10
10
10
01
11
11
10
10
01
10
00
00
01
11
01
00
01
00
10
00
10
10
00
01
10
00
11
11
00
10
01
01
00
00
11
11
01
10
00
10
11
01
01
11
10
00
10
10
01
01
10
11
10
00
00
10
00
01
10
10
10
00
10
01
00
00
10
10
10
11
00
10
00
01
11
10
00
01
11
10
10
01
10
10
11
00
01
11
01
11
10
10
00
10
10
01
11
10
00
10
10
00
10
00
01
10
00
01
10
10
00
10
10
00
00
10
00
01
10
00
00
11
10
00
01
10
10
00
10
00
11
10
10
10
10
10
00
00
01
01
10
01
10
11
00
01
10
01
00
00
10
00
01
10
10
11
01
00
10
10
10
11
00
10
10
00
00
01
10
10
10
00
00
11
10
00
00
00
01
00
00
10
01
10
01
01
10
00
00
10
00
00
11
10
00
00
10
00
10
11
10
00
01
10
10
10
00
10
10
11
00
11
10
10
11
10
11
01
10
11
10
01
10
00
01
01
10
00
10
01
11
10
00
10
11
11
01
00
10
01
00
00
11
10
01
10
10
00
10
10
01
10
10
10
01
00
11
00
11
01
00
00
01
01
11
01
01
11
00
10
01
11
00
00
10
10
00
01
10
00
10
10
10
10
11
10
11
01
01
00
00
01
10
00
01
10
10
10
10
00
00
10
10
00
00
00
01
10
10
01
11
10
01
00
10
10
00
00
01
01
00
10
00
11
10
01
11
11
01
01
11
01
00
11
00
11
11
00
00
10
01
10
10
00
00
10
00
00
10
00
10
10
11
01
01
01
10
10
00
11
00
00
10
11
00
01
00
10
00
00
01
01
00
11
11
10
00
00
10
00
00
00
11
00
01
01
10
10
00
10
11
00
10
00
10
10
01
10
00
01
10
10
00
00
10
11
11
01
00
01
00
01
01
01
11
10
01
01
01
00
11
11
00
10
10
10
00
10
10
00
00
11
00
00
01
10
10
11
01
01
00
00
11
10
00
01
00
10
10
10
10
00
01
01
10
10
10
11
10
01
00
10
11
00
00
10
10
00
11
11
00
00
00
10
10
10
11
01
10
01
00
00
01
10
11
01
01
10
00
11
10
00
11
10
00
11
01
01
11
10
01
10
01
01
01
10
10
10
00
01
11
00
11
10
10
11
00
01
10
01
01
01
01
01
00
10
00
00
10
00
10
10
10
00
00
01
01
11
10
00
11
10
11
00
10
10
10
11
10
00
00
01
01
01
00
10
10
00
00
00
10
10
00
00
01
10
00
00
01
01
01
10
10
01
00
10
10
10
01
10
11
01
10
11
11
11
00
10
10
10
00
10
10
00
10
10
00
00
00
10
00
01
10
11
11
11
11
00
01
01
10
10
10
10
01
00
11
10
00
00
10
00
00
00
11
00
01
00
00
10
11
00
10
00
00
00
10
11
11
11
01
10
01
10
11
01
10
00
00
10
00
10
10
00
00
00
10
10
10
10
00
10
10
11
01
10
00
11
01
00
10
10
00
00
11
00
10
01
00
10
00
11
00
00
01
00
10
10
10
10
00
10
00
10
01
10
10
10
00
10
10
10
00
10
01
11
00
11
10
10
11
10
10
10
00
01
11
11
00
00
01
11
00
00
10
10
01
11
11
00
00
10
00
10
10
00
01
10
00
10
11
01
00
00
10
10
00
01
01
10
00
10
00
10
10
10
00
01
10
10
11
10
00
10
11
00
00
11
10
10
11
01
01
11
10
00
10
00
00
11
10
00
11
00
10
10
01
00
10
11
00
11
00
10
00
01
11
00
01
11
00
10
00
01
00
00
10
01
10
10
10
01
00
00
01
10
10
10
10
01
01
10
00
00
00
00
00
10
10
00
00
01
10
01
10
11
11
00
00
10
10
10
10
00
00
01
10
00
00
10
01
10
11
11
10
01
11
01
11
10
01
11
10
00
00
10
00
00
10
00
11
10
10
11
00
00
00
11
00
00
10
10
00
10
00
10
10
01
01
10
11
00
01
01
11
00
11
11
01
01
11
11
01
11
11
00
00
00
10
10
10
10
00
00
11
10
00
10
00
00
10
00
00
00
11
11
10
11
11
01
00
10
00
01
00
10
10
00
01
00
10
10
01
00
11
01
01
01
10
01
01
10
00
00
10
01
00
10
11
10
10
00
10
11
00
00
00
00
11
00
01
10
01
00
11
00
01
01
00
01
11
01
00
00
10
00
00
11
00
01
01
11
10
11
10
00
01
10
11
10
10
00
01
10
11
01
00
10
11
01
01
01
10
10
01
01
10
10
00
01
01
10
00
10
00
00
01
11
11
10
10
10
01
10
10
00
01
00
10
11
00
00
10
11
10
10
01
10
00
01
11
10
00
10
10
11
10
00
10
00
01
10
00
10
10
10
00
00
11
10
01
00
00
01
10
01
00
00
11
10
00
00
10
10
11
10
11
00
10
00
11
00
10
10
00
10
00
10
01
00
00
10
10
00
11
11
01
11
01
11
10
01
10
10
00
11
11
10
10
00
10
10
00
00
10
10
00
01
00
00
00
10
00
01
00
10
01
00
10
00
10
10
01
11
10
10
11
10
00
00
00
10
01
01
10
11
11
10
10
11
01
00
11
10
00
00
10
10
10
00
01
00
10
00
10
00
11
10
10
10
01
00
01
11
11
10
00
11
10
10
00
01
10
00
10
00
11
10
01
11
10
00
10
01
00
00
00
11
10
10
10
01
10
00
10
00
10
11
10
10
01
00
00
10
10
00
01
01
00
00
11
10
01
10
11
10
11
00
00
10
11
00
00
11
11
11
10
01
10
00
11
01
10
00
10
11
00
00
10
00
01
10
00
11
00
10
10
01
00
10
00
00
00
11
10
10
11
10
10
01
10
11
00
10
11
11
01
00
00
00
11
11
00
01
00
00
10
10
01
10
00
00
10
00
10
00
00
11
10
11
10
10
01
00
10
10
11
00
11
10
00
10
00
00
10
00
00
00
10
11
00
10
00
00
10
01
10
00
10
11
00
00
10
11
11
10
10
11
00
11
11
00
00
10
11
01
11
11
00
10
00
11
10
00
00
10
11
00
01
10
10
11
10
11
01
00
00
01
10
10
00
10
11
01
11
00
00
00
11
10
11
00
01
00
10
00
01
11
11
00
00
00
11
11
10
10
01
00
11
00
00
00
10
00
10
00
00
00
00
10
11
01
00
01
00
10
10
10
00
00
10
11
01
10
10
01
00
00
10
01
10
10
00
10
10
01
10
11
01
11
10
01
10
11
00
01
00
00
10
10
10
00
10
10
11
01
10
01
11
00
00
10
10
00
01
10
00
10
00
10
00
10
00
01
10
01
00
00
11
10
10
10
10
00
01
10
00
00
10
10
00
00
11
10
01
10
00
00
00
00
00
10
10
11
00
01
00
10
00
00
11
10
11
00
10
01
01
10
01
01
11
11
11
00
10
00
00
10
00
01
11
10
10
10
00
10
11
00
00
10
10
00
00
10
11
00
11
10
00
00
11
00
00
11
00
01
10
01
10
00
00
01
01
10
11
01
00
11
00
10
10
01
00
00
01
10
11
10
10
01
00
11
00
10
10
10
10
00
00
00
00
11
00
01
01
10
10
01
00
10
01
00
10
10
00
00
00
10
10
10
11
10
00
00
01
00
11
01
11
10
11
11
11
01
01
10
00
00
10
01
01
10
00
10
11
01
01
10
11
00
10
10
00
10
10
00
00
00
11
01
00
11
10
01
00
11
01
00
11
10
01
11
10
01
10
10
00
10
10
10
00
00
00
00
11
00
11
11
01
11
00
11
10
01
00
01
10
11
11
01
01
11
00
00
10
11
00
10
00
01
11
11
00
01
00
01
10
01
00
10
01
00
10
01
10
10
10
10
10
00
10
00
00
00
01
11
11
10
00
01
00
10
00
00
10
00
11
10
10
01
00
00
10
10
01
10
10
10
10
10
00
00
10
10
01
01
00
10
01
00
01
11
10
01
01
00
10
11
00
10
11
00
10
00
11
01
01
10
10
10
00
00
11
01
00
10
00
00
00
11
10
10
00
11
10
10
00
00
00
00
00
00
10
11
10
00
00
10
10
10
10
00
00
01
00
10
10
00
00
11
00
00
11
00
11
10
11
11
01
01
11
10
00
00
10
00
00
10
10
01
01
10
11
10
10
00
10
11
10
01
00
01
01
10
10
00
11
10
00
10
10
11
00
01
01
01
00
11
10
01
11
10
01
00
00
10
10
10
10
00
00
01
00
10
10
01
00
11
11
00
00
00
11
11
10
00
01
00
00
10
00
00
00
10
10
01
10
11
11
01
00
01
01
10
01
00
10
11
00
10
01
11
10
11
11
00
11
00
10
01
01
10
00
01
10
00
00
11
10
11
11
00
10
11
00
00
01
11
10
11
00
01
00
10
10
10
10
00
11
10
00
01
11
00
11
00
10
00
00
01
01
11
10
10
01
10
10
01
00
10
10
00
10
01
00
10
10
01
01
01
11
10
10
01
01
00
10
11
10
11
11
10
00
00
10
10
00
00
10
10
00
10
00
01
10
00
00
01
10
10
10
10
00
00
01
00
10
10
10
10
00
00
00
10
01
00
00
10
00
10
10
11
01
10
01
00
01
10
01
01
10
00
10
00
00
10
10
01
01
10
10
10
11
00
00
01
10
00
10
10
00
00
10
11
01
11
01
00
10
00
10
10
10
10
00
11
10
11
01
10
01
10
11
00
00
10
11
00
11
10
00
00
10
11
10
10
01
11
01
10
00
00
11
00
10
11
01
10
10
01
00
10
10
11
00
10
00
00
10
00
11
10
00
11
10
01
01
10
11
11
00
01
00
10
10
10
00
10
00
01
11
01
11
01
01
11
10
11
00
01
00
10
10
00
01
10
00
00
10
00
00
00
10
10
10
10
00
11
10
10
10
10
10
10
00
00
00
10
10
11
10
10
01
00
00
01
10
01
10
00
10
11
10
01
10
10
00
10
01
01
01
10
10
01
01
00
00
11
11
00
00
10
01
10
00
10
10
00
10
10
10
10
00
10
00
00
10
00
01
11
11
01
10
01
00
11
01
10
10
01
10
00
10
00
01
10
10
00
10
10
01
10
10
00
11
11
10
00
00
10
10
10
01
10
10
00
00
01
10
00
11
10
00
10
10
01
00
00
11
11
11
01
10
00
00
10
11
00
00
11
00
01
00
10
10
00
00
11
00
01
10
11
11
10
00
01
11
00
10
01
00
10
00
10
10
11
10
00
10
10
00
00
00
00
10
11
00
01
11
01
10
11
01
10
10
01
10
00
00
10
00
01
00
10
10
11
10
00
11
01
01
01
00
11
01
10
00
00
10
10
10
00
00
10
00
10
00
00
10
10
11
10
11
00
11
10
10
00
10
10
01
11
10
11
00
01
11
01
01
11
11
01
10
11
01
10
10
11
00
00
00
11
00
00
11
11
01
00
10
11
00
10
00
00
11
10
00
00
10
00
00
01
00
01
00
10
10
10
11
01
10
01
10
01
00
10
11
00
00
11
11
00
00
01
00
00
01
11
00
10
10
00
01
10
10
00
00
10
01
01
11
11
00
10
00
10
11
00
01
11
00
10
11
00
10
00
01
10
10
00
01
10
10
10
11
01
10
10
00
01
11
00
10
00
00
11
10
00
00
10
00
11
01
11
10
00
11
11
00
10
11
01
10
10
11
00
00
00
00
11
00
01
10
10
10
00
01
00
10
11
10
11
01
10
00
10
00
00
10
11
10
00
01
00
10
11
11
01
01
11
11
10
10
11
00
01
10
10
01
01
10
10
00
00
00
10
10
10
10
01
01
00
10
00
10
01
01
11
10
00
00
10
10
00
00
00
10
10
00
10
10
00
01
10
00
00
00
10
10
00
00
10
10
00
00
00
11
00
10
00
00
10
01
00
00
10
10
01
01
11
10
10
01
11
10
01
00
00
00
00
10
10
01
00
10
00
10
00
11
10
10
01
00
00
00
01
10
11
00
11
01
00
01
00
01
10
00
01
00
00
10
11
10
11
00
00
11
00
00
01
00
10
01
10
11
10
11
11
10
01
01
01
10
00
10
10
00
00
00
00
11
10
00
00
11
10
01
10
10
01
00
00
10
00
10
11
01
00
01
10
10
11
01
00
00
10
10
00
10
00
10
11
01
10
00
00
10
00
01
01
00
10
11
00
10
01
01
10
00
10
10
00
00
01
01
01
11
00
10
10
10
10
00
00
11
10
00
10
10
10
10
10
11
00
11
01
00
11
00
01
00
10
10
00
00
00
00
11
00
00
00
10
00
01
11
00
11
11
00
10
01
10
11
10
10
00
01
10
11
10
01
01
01
00
00
00
10
10
01
10
01
11
10
11
10
00
11
10
11
10
01
00
10
11
00
00
11
01
00
11
00
01
11
11
10
10
10
00
00
11
01
10
10
10
00
10
10
01
11
01
11
00
00
10
11
10
11
00
00
00
10
01
11
01
10
10
11
00
10
01
01
10
10
01
10
00
00
10
00
11
10
10
10
01
10
00
00
11
11
11
10
01
01
01
00
10
10
01
10
11
00
00
11
10
11
00
11
01
00
01
00
10
10
00
00
00
10
10
00
01
01
00
01
11
11
00
00
01
00
00
10
10
00
00
10
00
00
00
11
00
11
10
00
10
10
10
11
00
00
10
10
00
00
00
11
00
00
00
10
10
10
00
10
11
00
10
01
01
00
00
00
10
11
10
10
10
00
01
00
00
10
01
11
11
00
00
01
00
00
11
00
00
01
10
00
11
10
00
00
10
11
00
00
10
01
00
10
11
10
11
10
00
00
11
10
00
10
10
10
10
10
10
11
01
00
00
10
01
10
01
01
11
11
10
10
00
01
00
01
10
10
11
01
00
00
01
11
00
00
11
11
00
11
00
00
10
10
00
10
00
00
10
10
10
01
01
10
10
00
10
10
10
10
00
00
10
11
00
00
10
11
11
01
00
10
00
10
10
10
00
00
11
00
01
01
11
01
00
10
10
00
10
00
00
10
01
10
11
01
10
10
00
11
01
11
00
10
01
00
10
01
10
11
10
00
00
10
00
01
10
10
00
11
10
01
11
10
11
00
10
10
01
00
11
11
00
11
00
10
10
01
00
11
10
00
00
11
00
10
00
00
01
10
00
10
00
10
00
11
00
01
00
11
10
11
10
00
01
11
11
10
00
00
10
00
10
00
00
10
00
01
10
00
11
00
01
00
01
10
00
00
01
11
11
11
01
11
10
00
00
01
01
10
00
10
11
00
11
00
10
00
00
00
10
10
00
10
10
00
00
01
10
10
01
00
11
00
11
00
00
10
00
10
10
01
00
01
11
11
10
01
00
10
11
00
10
10
10
01
00
11
00
00
10
10
11
00
00
11
11
00
00
10
10
10
11
01
11
01
00
10
00
00
11
10
00
10
00
10
00
00
01
11
10
11
00
00
10
11
01
10
00
00
10
00
00
01
11
10
00
01
00
11
10
11
00
00
10
10
10
01
10
11
01
00
10
01
11
01
10
10
00
10
11
10
01
00
00
00
10
10
10
01
10
11
01
10
10
10
01
00
10
10
01
01
01
00
10
01
10
00
01
00
01
11
00
00
11
10
11
00
11
10
10
01
00
01
11
00
00
01
10
10
10
01
00
10
10
11
00
10
01
00
00
10
10
01
01
11
00
11
10
10
11
10
10
00
11
10
00
00
00
10
01
00
00
10
10
00
10
01
10
11
00
01
00
10
10
10
10
10
00
00
10
10
00
00
10
01
00
01
10
00
01
01
10
10
10
00
01
11
00
00
01
00
10
11
01
11
01
10
11
00
10
11
01
00
10
10
01
00
10
00
10
10
00
10
00
01
11
00
00
11
10
10
01
00
10
10
10
00
10
10
01
10
10
00
10
01
00
01
00
11
10
01
10
10
00
00
01
11
00
00
10
01
10
01
00
10
10
10
10
00
11
10
10
10
01
11
10
01
00
00
11
00
11
00
11
10
10
11
11
00
01
10
10
00
00
10
00
11
10
00
00
00
01
10
11
01
10
10
00
10
01
00
10
01
11
11
11
11
11
00
00
11
11
00
00
10
11
10
00
10
01
10
10
11
10
00
10
01
01
10
00
01
00
01
10
10
01
01
11
11
00
00
10
10
11
00
10
11
00
00
11
10
00
01
11
01
00
10
00
01
10
10
01
11
10
00
10
10
10
00
01
11
10
10
00
10
00
00
01
10
01
10
11
10
00
10
00
10
10
10
00
10
10
00
11
10
01
10
10
11
00
00
10
00
01
11
00
00
10
10
11
01
01
10
00
01
10
10
01
00
10
11
10
11
01
01
11
10
10
00
00
11
10
01
00
10
10
10
11
10
00
00
00
10
00
10
10
10
01
00
10
01
00
01
10
10
01
01
00
01
11
01
10
00
11
10
00
01
00
11
11
01
11
10
00
00
00
01
01
11
10
10
11
10
10
01
00
11
00
10
10
00
10
00
01
00
01
10
01
01
00
11
10
10
00
10
00
10
00
00
01
10
11
01
10
01
10
00
01
01
11
10
01
00
00
10
10
00
00
10
10
00
10
01
10
01
10
11
10
11
10
00
11
11
10
00
00
00
10
10
10
10
00
00
11
00
11
01
00
11
00
11
00
10
11
10
00
00
01
00
00
00
00
10
11
10
10
00
00
10
00
00
01
01
10
00
10
11
11
11
00
00
10
00
10
10
11
00
00
00
00
10
00
10
11
10
00
01
00
00
00
00
10
10
01
11
00
11
10
00
01
10
11
10
10
00
01
10
00
00
10
11
00
00
00
11
01
10
10
00
11
10
00
00
10
10
00
00
01
10
10
11
10
01
10
00
00
11
10
10
01
00
00
10
00
10
10
00
00
01
11
10
00
10
10
00
11
10
01
00
01
01
10
00
01
01
11
00
00
00
10
10
11
00
01
11
00
00
10
00
11
00
11
11
01
11
01
00
11
00
00
00
11
00
10
10
00
10
10
00
00
01
10
00
11
10
10
00
10
00
00
10
11
10
00
10
10
00
00
00
11
10
10
01
10
10
01
01
11
10
11
00
01
10
11
10
00
00
11
01
00
11
00
11
01
01
10
10
10
00
00
10
11
00
00
01
01
10
10
10
00
10
00
00
10
10
11
01
10
00
11
11
00
00
11
10
11
10
00
01
10
11
10
00
00
11
11
10
10
11
00
10
00
10
00
11
10
01
01
00
11
00
11
10
01
00
00
11
10
10
00
00
01
11
00
00
11
00
10
01
00
11
01
00
11
00
00
11
11
01
10
10
00
00
00
00
10
11
11
11
00
00
01
11
10
01
01
10
01
01
11
01
00
01
10
10
00
00
10
10
00
00
00
00
00
00
10
10
00
00
00
00
01
11
00
10
11
00
01
00
10
10
00
10
10
10
00
10
00
00
10
01
01
00
11
10
11
01
01
10
00
01
11
01
00
10
00
10
10
10
11
01
00
10
11
01
10
00
11
10
00
10
00
00
10
10
00
00
10
00
10
10
00
10
01
10
00
10
11
10
10
00
01
00
10
11
01
10
10
10
00
01
01
11
11
00
11
00
00
00
10
10
10
11
00
01
10
00
01
11
00
00
01
10
00
10
10
10
00
00
10
10
00
11
10
00
01
10
10
00
10
10
10
01
10
01
00
01
00
11
10
10
10
01
01
10
01
01
00
10
00
01
00
00
10
10
10
01
10
11
00
00
11
10
11
10
10
00
10
10
11
10
01
01
10
01
00
00
10
00
00
10
10
10
10
00
00
11
10
00
00
10
00
00
11
01
11
10
00
00
00
01
10
00
00
00
11
00
10
00
10
11
00
00
01
10
10
11
00
01
01
10
10
10
10
00
01
10
10
11
01
01
10
00
10
01
01
11
00
10
01
00
01
01
10
00
11
11
00
10
11
10
11
10
00
11
00
00
01
10
11
10
11
00
00
10
01
10
10
00
01
00
10
00
01
00
00
10
11
00
11
10
01
10
00
00
10
00
00
11
10
10
00
11
01
00
11
11
00
00
01
10
01
10
10
00
11
10
10
11
00
01
11
00
00
10
10
10
11
00
01
00
11
00
00
11
00
10
11
10
00
01
10
10
11
11
01
11
10
01
10
10
00
00
10
10
01
00
10
10
11
11
10
00
11
00
00
11
00
10
00
00
00
00
10
10
01
10
11
00
10
10
00
10
10
10
01
00
10
10
10
00
01
00
00
01
01
10
00
10
10
01
10
01
00
10
11
00
00
01
10
11
00
10
00
10
00
00
01
10
10
01
01
00
01
10
10
00
11
10
01
01
10
11
10
00
00
00
10
01
00
11
00
10
00
11
00
11
00
01
01
11
11
00
10
00
10
00
01
10
10
01
00
10
10
11
01
00
10
10
01
10
00
00
10
00
00
10
11
00
10
10
10
10
00
10
11
11
00
10
11
00
00
11
10
10
11
11
00
01
10
11
00
00
00
01
11
10
10
01
00
11
11
00
00
10
00
11
00
00
11
10
10
10
01
00
11
10
01
00
10
11
00
10
00
01
10
10
10
10
10
10
00
00
00
10
10
00
10
11
00
10
10
10
00
01
11
00
10
10
01
00
11
11
00
00
11
00
11
10
01
10
11
00
01
00
00
10
11
10
11
00
00
01
10
11
00
10
11
11
10
00
00
00
10
11
11
00
01
10
10
10
10
00
01
11
10
00
10
10
00
10
11
00
10
00
01
01
11
01
10
11
00
11
01
01
10
11
11
00
01
11
10
00
00
10
11
10
00
11
11
10
10
00
00
01
00
01
10
10
10
10
00
00
01
10
11
10
00
11
00
01
10
10
01
10
00
00
00
11
01
10
10
00
00
01
10
00
11
00
10
00
00
11
00
10
00
01
10
01
10
10
11
00
01
10
10
00
10
11
00
00
10
00
00
10
10
01
00
11
10
10
01
00
11
10
10
00
00
10
10
11
01
00
11
10
10
01
00
11
10
01
00
10
10
00
00
10
10
00
00
01
01
00
00
10
10
00
01
10
00
10
10
00
00
10
00
00
00
00
10
11
00
00
10
01
10
10
10
00
10
00
00
10
01
01
10
11
00
10
10
00
01
11
00
00
00
11
00
01
00
00
11
11
11
01
00
00
10
11
10
10
01
01
10
00
11
11
11
00
01
11
10
11
10
01
01
00
11
10
10
01
00
11
00
11
10
01
11
10
11
00
11
00
01
10
10
01
00
10
10
10
00
00
10
10
01
01
10
00
01
10
00
00
00
11
11
01
00
10
01
00
00
11
10
00
00
10
10
00
00
10
00
10
11
00
00
10
10
10
10
00
10
11
11
00
00
10
00
00
01
00
00
10
00
00
00
00
11
00
01
01
10
11
00
00
10
01
00
10
00
11
00
00
00
10
00
01
10
10
10
01
00
00
10
10
00
00
01
11
00
01
00
00
10
00
11
10
10
10
10
00
11
10
01
01
10
10
00
11
10
01
00
11
00
00
11
10
00
01
01
10
01
11
10
00
10
01
01
01
10
01
00
10
01
00
01
10
11
00
00
11
10
10
01
10
01
00
11
00
01
10
00
10
10
01
00
00
10
00
10
11
10
11
00
00
00
00
11
00
10
11
00
00
11
00
01
10
00
11
10
00
10
10
00
01
10
10
11
00
10
00
11
11
10
10
10
00
00
10
10
00
00
11
00
10
00
10
00
01
10
01
10
00
00
11
10
11
01
00
00
11
10
00
00
01
10
10
01
01
11
11
01
00
00
11
00
11
10
01
01
11
10
00
10
10
11
00
01
10
10
11
10
00
01
11
10
00
00
00
11
10
10
10
00
01
00
11
10
11
10
10
00
00
01
10
10
00
00
10
01
00
10
01
00
11
10
00
00
10
00
01
10
11
00
01
11
11
11
00
01
10
11
00
10
10
00
00
01
11
00
11
00
10
00
10
10
00
00
11
10
10
11
00
01
11
00
01
10
11
00
10
10
10
01
01
11
00
10
10
01
00
00
10
00
00
01
10
10
00
10
11
10
00
10
10
00
10
10
10
10
00
01
10
01
00
11
00
01
10
00
00
00
00
10
10
11
10
10
10
00
10
01
10
11
00
11
10
11
10
00
10
11
00
01
10
01
11
11
01
01
01
10
00
00
00
11
10
01
10
00
10
10
00
11
10
01
00
01
00
11
00
00
01
10
00
10
00
00
10
10
00
00
11
10
00
10
01
01
00
10
00
01
10
10
00
10
01
00
10
01
10
10
00
11
10
00
00
01
00
00
01
10
01
10
10
00
00
10
10
10
00
00
00
10
10
00
00
10
11
00
11
10
10
10
00
00
11
01
00
11
10
10
10
00
01
00
01
10
00
00
00
10
01
00
11
00
11
01
00
10
10
11
00
11
10
00
10
11
11
10
00
00
10
00
10
00
10
10
10
11
11
01
00
10
00
01
10
10
10
00
01
01
01
00
00
11
00
00
01
00
11
10
10
01
11
00
10
10
00
11
10
00
01
00
00
10
00
10
11
00
01
10
10
10
00
10
00
10
00
00
00
11
11
00
11
10
10
00
11
01
01
00
10
00
10
00
10
10
00
00
00
00
00
10
10
10
10
10
10
10
10
00
10
11
01
10
00
10
00
11
00
00
10
11
10
10
11
00
11
11
11
00
00
10
00
10
10
01
00
00
11
10
00
00
11
10
01
10
10
00
11
10
10
10
00
11
10
01
01
10
10
10
10
10
10
01
10
10
10
00
01
00
10
10
10
01
11
10
01
00
10
11
01
00
01
00
11
00
10
10
00
11
11
01
01
01
01
11
01
10
11
01
00
11
10
01
10
00
01
10
10
01
01
10
00
00
00
00
11
10
10
11
11
01
10
01
11
10
01
00
00
10
10
10
01
00
10
10
01
10
10
00
00
00
10
11
00
10
11
00
01
00
10
00
00
01
11
10
10
11
10
10
00
00
01
10
00
10
01
10
10
11
11
00
01
11
00
00
10
01
11
10
01
10
00
00
10
10
01
00
10
00
00
10
00
10
00
00
11
00
10
10
00
01
10
10
00
00
00
00
10
10
00
10
01
10
10
11
10
11
11
01
01
01
10
10
10
01
00
11
10
11
00
00
11
00
10
11
11
01
10
01
00
10
01
00
10
00
11
00
00
00
11
10
01
10
01
01
00
00
10
11
01
10
00
11
11
10
10
00
00
00
11
00
11
10
00
01
10
00
01
10
10
10
00
00
11
00
10
10
10
10
00
01
01
00
10
10
00
01
10
01
10
10
01
00
10
00
01
10
00
10
00
10
00
00
10
10
01
10
11
00
00
10
00
00
10
00
00
00
10
00
00
11
01
11
10
10
00
10
00
10
11
01
00
10
10
00
10
11
01
10
01
00
00
11
11
10
11
01
00
11
10
10
00
10
10
01
00
10
00
00
10
10
10
01
00
11
10
11
10
11
00
01
10
11
10
00
11
10
11
01
01
10
10
00
00
01
10
01
10
00
00
00
10
10
10
00
00
10
10
00
00
11
10
11
00
01
10
10
00
01
10
10
11
01
10
10
00
01
00
01
11
10
01
10
00
00
10
11
11
00
10
00
00
10
10
00
00
10
10
00
00
00
01
00
10
10
01
10
01
11
11
00
11
10
11
00
10
01
00
11
10
00
00
11
00
01
10
11
10
10
01
00
11
10
00
10
11
11
01
01
10
01
11
00
01
01
11
11
00
00
10
10
00
00
10
11
10
00
00
10
00
00
10
01
10
11
10
00
00
00
00
01
00
10
10
01
10
10
00
11
10
00
10
10
10
01
11
01
00
01
10
01
00
10
11
10
00
00
11
10
00
00
10
01
00
10
10
00
01
10
11
10
11
10
11
00
00
10
11
10
01
11
11
00
10
10
00
11
01
10
10
00
00
01
11
00
01
10
10
10
10
01
00
00
11
10
00
11
01
01
00
00
10
00
10
01
10
10
00
10
01
00
10
00
01
00
10
10
01
00
01
10
11
10
00
11
00
10
10
10
00
10
00
00
01
11
11
00
00
11
10
10
10
11
01
10
11
00
00
10
01
00
11
10
00
00
10
00
11
01
01
10
01
10
10
01
00
00
10
10
00
00
00
10
10
01
00
01
11
10
01
00
10
11
10
11
01
00
11
00
10
00
00
10
10
10
10
00
01
10
00
01
10
00
01
10
01
10
10
01
00
00
10
11
00
00
01
10
00
00
00
10
11
01
01
00
01
10
11
01
11
00
00
10
10
00
01
10
11
10
10
10
11
00
11
00
10
00
00
00
10
00
00
10
10
00
10
00
10
11
00
00
01
10
00
00
01
10
10
01
11
00
10
00
01
11
00
01
00
10
11
00
10
10
11
01
01
10
01
00
00
10
11
10
11
11
11
00
00
11
00
10
00
01
11
00
01
10
01
00
01
00
11
10
00
10
00
00
10
11
11
00
10
10
11
10
00
10
10
00
10
00
10
10
01
00
00
00
10
10
10
10
10
00
01
00
01
00
01
00
11
10
10
00
01
00
10
11
00
10
00
00
10
10
00
01
10
11
10
00
00
11
11
00
00
10
01
00
00
01
10
11
01
10
00
11
10
10
10
00
00
00
00
11
11
10
01
10
11
11
11
10
01
11
01
10
10
10
00
00
11
11
01
00
00
10
10
00
10
11
00
10
00
10
10
10
01
00
01
10
00
10
10
01
10
00
00
01
00
01
10
10
10
00
11
00
00
10
00
10
10
01
10
11
11
00
11
10
01
10
11
00
00
01
11
01
01
10
11
00
10
10
10
00
01
10
00
10
10
00
10
01
00
01
10
10
01
10
10
01
11
10
01
01
00
00
11
11
10
00
00
00
00
00
00
00
01
10
01
11
01
10
00
00
01
01
10
11
10
11
01
01
00
01
10
11
10
11
10
10
00
00
10
10
01
10
10
00
10
10
00
00
00
01
00
11
10
10
01
01
00
00
10
10
01
00
10
00
10
10
01
10
10
01
00
00
10
10
00
10
00
00
10
11
00
11
10
10
01
00
00
11
10
00
00
00
11
11
00
00
00
10
10
00
00
11
01
01
00
11
10
10
10
00
11
11
01
00
00
10
11
10
10
11
00
00
10
01
10
00
10
10
01
00
11
10
00
11
01
01
10
01
01
10
10
10
00
10
10
01
01
00
11
11
10
11
00
00
11
01
00
11
11
00
10
10
10
11
10
01
11
10
11
01
00
00
01
10
10
00
00
11
10
10
00
00
10
11
01
11
01
00
01
10
10
11
00
11
11
00
00
01
10
10
10
01
01
00
00
00
10
11
00
11
11
01
00
00
10
11
00
00
11
10
00
10
00
00
11
10
00
10
01
10
10
11
00
11
10
10
10
10
00
10
10
00
10
00
11
10
00
10
10
10
01
10
10
10
00
00
00
00
00
01
10
11
11
00
00
01
10
10
00
11
00
10
00
10
00
00
00
00
11
00
00
11
11
01
10
11
10
01
00
01
11
01
00
11
00
00
01
00
10
10
00
11
11
00
00
00
10
01
00
10
11
00
11
00
00
00
00
00
01
00
10
01
10
00
01
00
10
11
11
01
10
10
11
01
10
11
00
10
10
01
00
00
10
11
11
01
00
00
11
00
00
00
00
10
11
11
10
11
00
01
00
00
01
10
10
00
10
10
10
00
10
10
00
00
01
10
10
00
00
10
00
10
11
00
11
10
10
01
01
10
01
00
00
00
00
10
00
00
00
11
10
10
00
11
10
00
00
00
00
10
01
11
11
10
10
10
00
00
01
10
11
00
01
10
10
00
00
10
11
11
00
11
00
10
10
01
01
11
10
01
11
00
10
10
01
10
00
00
11
10
01
00
11
11
00
00
10
00
10
00
00
11
11
01
00
00
01
10
10
10
01
00
01
10
10
10
00
11
10
01
00
00
01
10
00
01
11
10
10
10
11
10
10
00
00
10
00
10
10
00
00
00
11
10
00
10
10
00
10
11
00
10
01
11
10
00
00
10
10
10
00
01
00
11
00
00
11
11
00
01
11
10
10
01
00
11
00
10
10
00
10
00
00
00
10
00
11
10
10
00
10
01
11
01
01
00
00
10
00
00
10
11
01
00
10
00
10
10
01
01
11
11
01
00
11
11
11
10
00
00
10
00
10
10
00
11
11
00
11
10
00
11
00
10
11
01
00
10
00
00
00
11
10
00
10
11
10
11
00
11
10
00
10
10
00
10
00
00
01
00
11
10
01
00
10
11
10
00
00
00
11
00
01
11
00
01
01
01
00
00
10
00
10
10
01
11
00
10
10
01
10
00
01
10
10
10
00
00
10
11
10
00
01
10
00
11
10
00
00
11
01
00
10
01
01
11
00
11
10
01
11
00
00
01
10
10
00
00
11
01
11
01
10
00
00
01
10
10
01
00
00
00
11
11
10
00
11
11
00
10
10
11
01
00
00
10
00
01
00
00
10
00
10
01
11
10
11
00
10
10
00
11
10
10
01
00
11
01
01
01
11
10
00
10
11
10
11
11
00
00
00
00
11
10
01
00
10
00
10
01
00
11
10
01
01
01
00
11
11
10
10
11
00
00
10
10
01
00
10
01
01
00
01
11
10
10
00
11
10
10
00
00
01
00
10
10
00
00
01
00
11
10
10
01
00
10
00
01
11
10
00
00
10
00
11
10
11
10
00
00
00
10
01
10
11
10
00
00
10
01
00
00
10
10
00
10
01
00
00
10
10
01
00
01
00
00
01
00
00
01
10
10
10
10
01
01
10
00
10
10
10
11
00
10
10
10
11
01
00
10
00
10
11
10
10
01
01
00
00
00
10
00
00
00
11
11
11
10
10
10
10
01
11
00
01
10
00
11
00
10
00
00
10
11
00
11
10
10
11
10
10
10
01
00
10
11
01
01
00
10
10
11
01
00
10
10
01
10
10
01
00
11
00
11
10
00
01
10
00
00
00
10
10
00
01
10
10
10
11
10
00
00
01
00
11
00
10
01
01
00
10
10
00
10
01
10
10
11
11
10
00
11
00
11
10
10
00
01
10
00
01
10
10
10
00
00
01
00
11
10
01
00
10
10
00
00
10
01
01
10
11
10
11
11
00
11
10
00
00
00
10
10
00
00
10
01
10
01
00
10
10
10
10
00
10
10
01
00
00
01
10
00
00
11
00
01
01
11
10
11
10
01
00
00
10
00
11
11
01
10
00
01
00
01
10
11
00
11
10
00
10
11
10
01
10
11
00
01
00
01
11
10
10
00
01
10
10
00
00
11
10
00
00
01
00
00
10
10
01
10
00
00
10
11
01
00
11
11
00
00
00
00
01
01
10
00
00
11
11
00
00
01
00
00
11
10
11
00
10
10
11
00
01
10
11
10
00
00
10
10
00
00
10
01
00
11
00
00
01
00
11
10
00
00
10
00
10
01
01
11
11
00
00
10
10
10
10
00
01
10
00
00
11
01
10
11
00
10
01
01
11
01
01
10
00
10
10
00
11
11
10
00
10
00
10
11
00
00
10
11
01
11
10
00
00
10
10
10
11
10
10
10
10
10
00
00
00
00
10
10
10
00
00
00
00
01
00
01
10
00
10
10
00
11
01
00
11
01
01
11
10
10
10
00
01
10
00
01
10
11
11
01
01
01
10
10
10
11
00
00
11
10
10
00
00
10
10
11
11
11
00
01
01
10
00
00
11
11
10
00
01
10
10
00
10
01
01
00
11
10
00
11
00
00
10
11
01
11
00
00
00
11
10
00
00
00
10
00
10
10
10
11
10
10
00
00
11
00
00
11
00
10
10
00
10
00
01
10
00
10
10
00
10
11
01
11
01
10
11
10
00
01
00
10
11
00
11
00
10
10
01
00
00
00
10
11
01
00
11
11
10
00
00
01
01
01
10
00
11
00
00
10
00
10
11
01
10
01
10
00
11
11
10
10
01
00
10
10
00
10
10
01
01
10
00
10
00
00
00
11
11
00
00
01
00
00
00
00
10
10
01
10
11
00
01
10
10
10
00
00
00
00
11
01
00
11
10
01
01
10
00
01
11
11
11
00
10
10
10
00
01
11
10
00
10
00
01
10
00
11
11
00
11
00
10
01
00
10
01
01
10
00
10
00
01
11
00
10
10
00
10
01
11
00
11
10
10
00
10
01
00
11
10
01
01
01
11
10
10
00
00
01
10
10
10
00
00
10
00
01
00
00
10
11
01
00
00
10
10
01
00
00
11
01
01
11
10
00
10
00
10
00
01
10
11
11
00
11
00
11
10
00
10
00
10
11
11
00
00
00
10
01
00
00
10
10
11
10
00
00
10
10
00
10
11
11
11
10
01
00
00
00
10
00
11
00
01
00
10
11
01
10
10
00
01
10
11
00
10
00
00
00
00
10
10
10
01
00
00
00
00
00
10
01
00
10
01
11
00
00
11
00
00
10
00
00
00
00
00
01
10
10
11
10
00
01
10
10
00
00
10
01
00
10
11
01
00
00
11
10
11
10
00
11
11
11
00
00
10
00
00
10
10
00
11
10
01
11
00
10
10
00
00
00
00
10
01
01
00
11
01
10
10
00
00
10
11
00
10
00
01
00
00
10
10
01
00
10
01
01
10
10
00
01
11
11
00
01
11
10
01
10
10
00
10
10
00
00
10
10
01
01
00
10
01
00
11
00
10
11
10
11
00
10
01
01
10
10
00
01
00
00
10
11
10
11
00
01
00
01
10
11
00
00
00
10
00
00
01
11
00
00
01
00
00
00
10
00
10
11
01
10
11
00
01
10
10
01
00
10
10
01
00
11
11
00
01
10
10
11
01
01
00
01
11
10
11
00
00
11
01
11
10
10
00
00
11
10
10
00
01
00
11
11
00
11
11
01
00
00
10
11
01
10
10
00
00
00
00
10
11
00
10
10
10
10
00
00
11
01
11
11
00
01
10
01
00
00
11
10
10
10
10
01
11
00
00
00
10
10
00
00
01
00
10
10
10
10
10
00
00
10
00
10
10
10
00
10
10
11
00
00
01
10
00
01
10
11
01
00
11
11
01
00
11
11
10
01
00
11
10
00
00
00
01
11
10
00
10
10
10
00
01
10
01
00
10
10
11
00
11
10
01
10
11
10
00
00
10
01
00
10
10
10
10
01
11
00
00
00
11
11
00
00
00
00
10
10
10
11
00
00
00
00
01
00
11
11
01
10
11
01
00
00
11
10
11
00
00
01
11
00
11
10
00
10
00
00
10
10
10
10
00
00
00
11
00
01
00
10
00
00
10
11
00
00
01
00
00
00
10
11
11
11
10
10
01
01
10
10
01
00
10
00
00
10
10
00
00
00
10
00
00
11
11
10
10
11
10
11
01
01
00
01
10
00
01
00
10
11
00
10
11
10
01
10
00
11
00
00
01
01
10
10
01
10
10
00
00
01
01
10
11
11
10
00
10
11
00
00
10
10
10
01
00
00
10
10
00
10
11
00
10
10
00
11
10
10
01
11
10
00
00
10
01
00
11
10
01
10
10
10
00
10
10
10
00
00
01
00
01
11
11
01
00
11
10
11
00
10
11
00
11
10
01
01
10
10
00
10
00
00
11
10
10
11
10
00
10
10
01
11
10
00
10
10
10
10
10
01
00
00
01
11
10
10
10
00
01
11
11
00
10
10
11
01
11
10
00
10
01
00
11
10
00
00
10
10
01
10
10
10
01
01
00
01
10
10
11
00
00
01
10
10
11
10
10
01
00
00
10
01
01
00
00
10
10
01
11
01
01
10
10
10
10
00
11
10
01
10
10
10
10
11
00
11
10
10
00
00
01
01
10
00
11
10
10
00
00
01
00
10
10
11
00
00
10
10
00
11
11
00
10
01
01
01
00
10
00
10
00
01
01
00
11
10
00
10
00
01
10
01
00
11
10
00
01
10
11
00
10
11
11
01
00
10
11
10
01
00
11
00
00
11
00
10
00
00
10
00
10
10
10
00
11
01
10
01
01
10
11
11
00
10
10
00
10
10
00
11
10
01
00
11
00
00
10
00
11
10
10
00
00
00
01
00
11
00
10
10
00
00
10
00
00
10
11
00
11
00
10
00
00
10
11
00
00
00
10
01
10
01
10
11
00
01
11
10
10
00
10
00
11
10
01
10
10
01
00
10
00
11
10
01
00
10
10
00
11
11
11
01
10
10
10
00
00
10
11
01
00
10
11
11
10
10
01
11
10
00
11
01
10
01
10
01
00
00
10
00
01
11
00
01
10
11
00
00
11
10
11
00
00
10
00
10
01
10
10
01
00
10
00
10
01
11
10
00
10
11
00
10
01
10
10
00
00
10
10
01
00
00
10
10
01
00
00
10
10
10
01
01
00
00
11
01
10
10
00
00
00
00
00
11
01
00
00
00
11
10
11
10
01
00
10
11
10
00
00
00
10
01
10
01
11
10
10
10
01
00
11
11
01
10
00
11
10
10
00
00
11
00
11
10
10
00
01
10
11
10
01
10
00
00
10
10
01
10
00
01
00
10
10
11
10
10
00
00
00
10
10
00
10
01
00
10
01
10
00
00
10
10
11
11
01
10
00
10
10
00
00
00
10
10
11
11
11
00
01
00
00
00
01
00
11
00
10
00
00
00
10
11
11
10
11
00
11
10
11
00
01
10
10
00
00
00
11
11
00
00
10
10
00
10
00
10
10
10
00
00
00
10
01
00
01
11
10
01
01
00
11
00
00
10
10
00
10
00
10
01
11
01
00
11
10
01
11
10
00
00
11
00
01
11
10
01
00
11
10
01
00
10
10
01
10
10
00
00
00
00
11
10
00
01
00
10
10
10
10
10
01
00
00
10
11
10
01
10
10
01
00
10
11
01
01
00
10
00
00
00
10
10
00
10
10
11
11
00
01
10
01
11
00
00
01
00
10
10
01
01
11
11
11
10
10
11
11
00
00
10
01
01
00
10
10
10
10
11
10
10
00
01
00
10
11
11
11
00
10
11
10
01
00
01
10
00
00
01
00
10
11
01
00
00
01
01
10
01
00
10
00
00
11
01
10
00
10
00
10
10
00
10
10
01
10
11
00
00
10
11
10
00
01
10
11
01
00
00
00
10
11
01
01
10
01
00
00
00
11
00
00
01
10
00
00
00
11
01
11
10
01
00
10
11
01
11
10
11
00
01
01
10
10
01
11
10
01
00
01
10
01
11
11
00
00
00
11
11
00
00
11
10
00
01
10
11
10
00
00
10
10
10
00
10
10
11
00
11
00
10
11
10
00
10
00
00
10
10
10
00
01
10
10
11
00
01
10
01
01
10
10
11
00
10
10
00
00
00
00
10
01
10
00
01
00
10
10
01
00
11
11
00
10
11
01
10
10
10
01
00
10
00
01
00
10
10
00
11
11
10
01
01
00
11
01
01
10
00
01
10
10
10
01
10
10
10
01
10
10
10
00
11
11
00
00
01
11
00
11
11
00
00
10
10
00
11
10
01
01
10
11
11
10
00
01
10
01
00
10
10
00
10
00
00
00
10
11
00
10
00
01
11
01
10
11
10
00
00
01
00
11
11
01
01
00
00
10
10
00
00
11
10
00
00
00
01
11
11
10
00
10
00
00
11
01
00
10
01
10
01
01
10
11
10
00
00
00
11
10
10
00
10
11
01
10
11
11
10
01
10
10
00
01
00
00
10
10
10
10
00
01
10
11
11
00
10
01
01
01
10
10
00
10
10
00
01
11
01
00
00
11
00
11
01
00
11
00
10
10
10
00
00
10
10
00
10
11
10
00
00
00
10
10
11
00
10
10
10
00
00
00
11
10
11
11
00
10
01
11
10
00
01
10
00
00
10
01
00
10
10
00
10
01
01
10
00
00
10
01
10
10
00
10
01
01
00
00
01
00
10
10
11
10
11
00
01
11
10
11
00
00
00
11
10
01
10
10
00
00
00
10
00
01
10
00
11
10
00
11
10
01
11
11
01
00
10
10
10
00
10
11
00
01
10
01
10
10
01
00
10
00
00
11
11
11
00
10
11
11
01
00
11
10
01
00
11
00
00
10
10
00
10
10
00
10
00
01
01
10
10
01
00
10
11
00
00
10
10
11
00
10
00
01
10
10
00
00
00
00
10
11
00
11
00
10
11
01
00
00
10
10
01
11
11
00
11
00
00
01
10
01
01
10
01
00
00
10
10
01
10
00
00
00
01
00
01
11
01
11
00
11
10
10
10
10
01
00
00
10
10
10
10
00
10
00
01
10
00
00
00
01
11
01
01
00
00
01
10
00
10
10
00
00
00
10
00
10
00
10
10
01
10
10
10
00
11
00
01
11
10
01
11
00
10
00
01
11
10
01
00
00
11
10
10
11
11
10
10
01
00
10
11
00
00
00
10
10
01
00
10
00
10
10
00
10
10
00
01
01
01
10
00
11
00
10
11
00
10
00
01
10
11
00
00
00
11
00
10
00
00
00
10
01
00
10
10
00
10
10
11
10
01
10
10
10
00
00
01
01
10
00
01
11
10
11
00
10
10
00
10
01
00
11
11
10
01
10
00
10
10
00
11
10
11
00
11
00
10
10
10
01
00
10
00
00
11
01
11
11
11
00
10
10
11
00
10
11
00
00
00
00
11
11
11
10
10
10
01
00
00
00
10
10
01
10
11
10
10
10
11
00
00
11
01
00
00
10
10
00
00
00
00
01
10
10
11
10
10
10
01
11
00
10
00
01
10
10
00
10
01
00
01
11
11
00
00
10
00
10
10
10
00
11
10
11
00
00
00
11
00
11
00
00
10
00
01
11
11
01
00
10
10
10
10
00
00
01
00
10
00
10
01
10
00
11
10
00
10
01
10
01
10
11
11
00
00
10
10
00
00
10
10
01
00
11
01
00
00
00
00
01
01
01
10
10
00
10
10
01
10
11
01
10
01
00
11
11
10
00
10
10
00
00
10
10
11
10
10
00
10
10
11
11
00
10
01
00
10
00
00
01
10
10
11
01
10
11
11
11
01
10
00
10
01
01
11
01
00
10
11
11
10
01
10
10
01
00
01
10
00
00
10
00
00
00
10
00
10
10
00
00
10
00
11
10
11
11
10
00
00
10
01
00
01
11
10
10
10
10
10
00
00
00
01
10
10
10
01
00
00
10
10
10
11
00
10
11
10
11
00
01
10
10
10
10
01
00
10
10
01
00
10
01
00
00
10
11
10
00
10
01
10
11
11
01
10
01
00
00
00
10
11
00
00
10
11
11
10
01
00
10
11
10
00
00
00
10
11
11
11
10
10
01
00
10
00
01
10
10
00
01
00
10
11
10
01
11
10
00
10
00
10
10
00
01
00
00
10
11
01
00
10
00
11
10
00
10
01
11
10
11
00
10
10
00
01
00
00
11
11
10
01
11
10
00
10
00
10
10
00
11
11
10
01
00
10
01
11
10
11
00
10
01
00
01
00
11
01
01
10
10
11
00
00
10
10
01
00
00
10
10
00
10
01
11
10
00
00
10
10
00
01
10
01
10
00
10
11
01
00
00
11
10
01
10
00
00
10
00
10
00
00
11
11
00
01
10
00
01
00
10
10
00
00
10
00
00
10
01
10
01
10
10
10
10
01
10
10
10
00
01
10
00
10
00
10
00
11
10
11
00
01
10
10
00
00
01
00
10
10
00
10
01
10
10
01
10
10
11
01
00
10
01
01
00
00
10
10
11
01
00
00
00
10
10
01
00
10
10
00
00
00
10
10
00
11
01
11
11
10
01
00
00
10
11
00
01
10
11
01
11
10
00
00
10
01
00
10
00
01
00
11
00
00
01
10
10
11
00
01
01
11
10
00
10
10
10
01
00
10
10
10
00
11
11
11
01
00
00
10
01
00
01
00
00
11
00
11
10
11
00
00
11
10
00
01
11
11
11
00
01
00
10
11
10
00
01
00
10
00
01
10
11
01
00
10
11
11
10
01
00
11
00
00
10
00
01
00
11
10
10
00
10
10
00
10
10
10
00
10
10
00
10
00
10
10
01
00
01
10
01
00
01
10
10
00
00
00
10
11
01
00
01
00
10
11
00
10
10
00
01
01
10
00
10
10
00
00
11
10
00
00
11
11
10
01
10
10
10
00
01
00
01
10
00
10
10
00
10
10
00
01
11
01
10
10
00
10
10
11
01
01
10
00
11
00
10
10
10
00
00
01
11
00
11
10
00
01
00
10
11
00
01
00
01
10
10
10
00
11
10
00
00
01
00
10
00
00
11
10
11
00
10
00
01
10
11
11
01
11
10
00
00
11
11
11
00
01
00
00
11
00
10
10
00
01
10
01
10
10
00
00
00
00
11
11
10
00
10
00
11
11
00
01
00
11
00
10
01
10
11
01
10
10
00
00
10
01
11
10
10
10
10
10
00
00
00
10
01
10
00
00
10
10
01
00
10
10
11
11
10
11
00
00
00
10
10
11
01
00
10
00
10
00
01
10
10
11
10
10
11
11
00
11
10
11
00
01
10
00
10
10
01
10
11
10
01
10
00
00
00
10
11
10
01
00
10
00
01
01
01
10
10
00
10
10
00
00
10
10
00
00
11
01
01
11
10
10
11
10
01
00
11
10
01
00
10
10
01
10
11
10
00
00
00
11
10
01
00
01
00
00
10
00
00
10
10
00
10
11
00
00
00
00
10
11
00
00
10
10
00
00
10
11
00
01
00
10
10
00
10
10
11
00
11
10
00
10
00
11
01
01
00
10
00
10
10
01
10
10
01
00
10
00
00
00
10
10
10
00
01
01
10
10
01
00
10
11
01
00
01
11
10
10
01
00
01
10
10
11
01
00
10
10
00
00
00
00
10
00
00
10
10
10
00
10
11
10
11
10
00
11
00
00
00
10
11
01
01
01
00
00
11
01
01
10
10
01
10
11
01
01
11
00
11
00
01
01
00
10
11
11
01
10
10
01
10
11
10
10
01
00
10
01
00
10
11
00
00
00
10
11
10
00
00
10
10
00
00
00
01
10
11
10
00
11
00
00
01
00
10
10
01
10
10
10
00
11
11
00
00
01
00
00
01
10
10
01
10
10
01
10
00
11
10
00
00
01
10
10
00
11
11
01
01
00
11
10
11
00
11
10
00
10
01
00
10
10
10
00
10
00
00
10
01
10
10
10
00
10
00
11
00
01
11
00
10
00
10
10
00
01
10
11
00
00
11
10
00
01
00
11
01
00
01
10
00
11
01
01
10
00
10
01
00
00
10
10
00
01
00
11
00
00
00
00
10
00
11
10
01
11
11
10
00
10
11
10
00
00
00
01
10
01
00
01
11
01
10
10
10
00
10
01
00
10
11
10
01
10
10
11
11
01
10
10
01
11
00
00
11
10
11
00
11
00
00
10
10
10
01
11
10
10
10
00
00
10
00
10
10
10
10
00
10
01
10
11
10
10
00
11
01
00
00
10
00
10
11
00
01
00
01
10
10
11
11
01
00
10
10
00
10
10
00
11
10
00
10
10
11
11
00
00
10
10
00
11
00
00
00
11
10
01
10
00
00
10
10
01
00
10
00
00
11
11
11
10
00
10
01
00
10
10
00
00
10
10
00
10
10
11
01
01
01
11
10
10
10
10
01
01
11
10
10
11
00
01
11
00
00
00
11
00
00
10
10
01
00
00
00
11
00
01
10
10
11
10
10
11
00
10
10
01
10
11
00
01
10
10
00
01
00
11
10
01
01
11
01
11
10
00
00
10
11
00
00
10
10
01
11
11
00
00
10
01
11
11
01
00
11
00
10
00
00
01
00
10
10
00
10
10
11
10
00
10
01
10
10
10
00
10
01
00
11
01
01
10
11
10
10
00
00
00
00
01
11
11
00
10
11
01
00
10
10
00
01
10
10
00
10
10
11
10
00
00
11
00
10
10
10
10
00
00
00
10
11
00
01
01
10
10
10
10
00
00
00
01
00
10
10
10
00
00
00
00
00
01
10
00
11
10
10
11
01
10
00
00
10
11
11
00
01
10
10
11
00
00
11
10
00
01
10
10
00
01
00
10
01
11
01
01
11
11
10
10
01
00
10
00
10
10
10
00
11
01
00
00
00
11
10
01
10
00
10
10
01
00
00
11
00
01
01
01
10
01
00
10
00
00
10
10
11
00
11
10
10
01
11
11
01
10
00
11
10
11
11
01
00
00
00
01
10
01
00
11
10
00
01
11
10
01
10
11
00
00
00
01
11
01
10
11
10
10
10
00
01
10
10
01
00
10
10
10
01
01
00
11
00
11
00
01
11
10
00
00
00
00
11
10
10
11
00
10
10
11
10
10
00
10
00
10
10
01
01
00
00
01
10
00
10
10
01
10
10
00
00
10
00
10
10
11
00
00
10
00
11
11
11
00
10
00
11
10
00
00
10
00
01
10
11
11
10
10
00
00
10
11
00
10
11
10
00
10
00
00
11
11
10
10
00
11
00
01
00
00
10
10
10
01
10
10
10
00
00
00
00
11
10
10
10
00
01
01
11
10
00
00
00
00
10
10
01
00
01
00
00
10
10
00
10
01
11
10
11
10
00
10
11
10
10
00
00
00
01
10
10
11
00
00
00
10
00
01
11
00
10
00
11
10
01
10
11
00
01
10
10
11
00
11
00
11
10
00
00
01
00
01
01
10
10
10
01
01
10
10
01
00
10
10
00
01
10
01
10
11
00
10
00
10
10
00
00
10
10
10
00
00
10
11
00
01
01
11
10
00
10
10
11
11
11
00
00
10
10
00
00
11
11
00
01
00
10
11
00
10
11
00
01
00
10
10
10
10
01
11
10
00
00
00
11
11
01
00
01
10
11
00
00
10
10
11
00
10
10
00
11
10
00
11
00
11
10
10
01
01
11
10
11
00
00
10
10
11
00
01
10
01
10
10
11
00
00
00
00
11
00
01
11
00
10
01
00
10
10
00
11
11
01
00
11
11
10
10
01
00
10
00
01
11
01
01
10
10
10
00
10
10
01
00
01
10
10
11
11
10
00
00
10
11
00
10
00
10
10
00
00
00
10
10
01
01
00
10
00
11
11
00
01
10
10
10
00
10
01
10
10
00
10
00
00
00
10
10
01
00
00
10
10
11
00
01
10
11
10
10
00
00
10
01
11
11
00
01
10
10
01
11
10
00
01
10
10
00
00
11
10
10
00
10
10
10
00
11
00
00
01
00
01
00
10
10
10
10
00
01
10
11
00
10
01
00
10
10
01
00
00
10
11
01
00
00
01
10
01
11
10
00
00
00
10
11
00
10
10
10
10
10
00
00
00
10
01
00
00
00
00
00
00
10
10
11
00
00
11
10
11
01
01
00
10
00
00
10
10
00
00
00
00
01
10
10
11
11
11
00
00
01
10
01
01
01
11
10
00
00
10
10
00
01
10
00
10
00
00
11
10
11
00
11
01
01
00
10
10
00
00
01
00
10
00
11
11
01
00
10
10
00
10
10
10
00
00
10
10
00
00
11
11
01
11
00
11
00
00
01
10
00
01
00
10
00
10
11
10
01
11
11
00
10
00
11
11
00
01
01
10
01
10
10
10
00
01
10
10
00
11
01
10
10
00
10
01
11
11
01
01
11
10
00
10
00
10
01
00
10
10
01
00
10
00
01
10
00
11
11
10
10
10
01
10
11
01
00
00
00
10
10
10
10
00
01
11
10
00
01
00
00
00
00
11
00
11
01
00
00
00
11
11
00
00
10
00
01
01
10
10
00
10
00
01
11
00
11
00
11
10
00
10
01
00
10
00
01
00
01
10
00
00
10
00
10
11
00
00
00
10
00
10
00
10
10
10
10
10
00
10
01
00
10
00
11
10
00
01
00
10
11
01
11
10
00
10
10
11
00
00
10
11
01
01
00
10
00
00
01
00
10
10
00
11
00
00
11
01
01
10
00
10
00
00
01
00
00
11
00
10
11
00
01
00
00
10
11
00
10
10
00
10
11
10
10
10
00
00
00
01
00
00
10
10
10
00
11
10
00
00
10
11
11
11
00
10
10
11
00
10
10
00
10
10
10
11
10
01
01
00
01
01
00
11
00
10
11
00
11
00
01
00
11
01
01
10
01
00
10
10
01
11
10
01
00
00
00
10
10
00
00
11
00
00
10
10
01
11
00
11
00
10
01
00
10
00
00
10
01
01
10
00
10
00
01
10
10
10
00
01
10
00
10
00
01
10
10
10
00
10
00
10
11
01
11
01
00
10
11
11
11
10
01
00
00
10
11
11
00
11
01
10
11
00
11
10
00
00
00
00
01
01
11
11
10
11
01
00
01
01
10
10
01
10
01
01
10
01
10
10
00
00
10
11
11
11
10
11
00
01
10
00
10
01
10
10
01
10
10
10
00
00
10
00
00
10
11
01
00
00
10
00
00
10
11
00
10
00
11
10
00
00
10
01
01
00
11
00
10
10
10
00
00
00
11
10
00
11
11
01
00
10
00
10
10
01
11
00
11
10
00
00
00
00
11
10
01
00
01
00
00
01
11
10
10
00
11
00
01
01
01
10
01
01
10
10
00
00
00
10
00
11
10
00
10
11
11
11
10
10
10
01
00
10
10
00
01
00
01
00
00
10
10
00
10
01
00
11
00
01
10
01
10
10
10
00
10
00
10
11
01
11
00
10
11
10
00
10
10
00
10
10
10
01
11
10
11
00
01
00
11
10
00
00
01
10
10
00
00
10
10
11
00
10
00
11
10
00
10
10
01
00
01
10
00
00
01
00
01
11
10
00
01
10
11
00
00
01
10
10
10
10
01
00
11
10
00
10
11
00
00
10
10
00
01
01
11
00
11
10
00
01
11
11
00
10
11
01
00
10
11
01
11
10
01
01
00
11
10
11
01
00
10
00
10
00
01
10
00
00
10
00
10
00
10
10
00
01
11
11
11
10
11
10
10
10
01
00
00
10
10
01
00
00
00
11
10
00
11
10
10
10
01
11
10
01
00
00
00
00
11
00
10
10
10
01
10
00
01
11
01
00
10
10
10
01
00
10
10
01
01
11
10
00
11
00
11
10
10
01
10
00
11
01
01
10
00
11
00
00
11
01
10
00
00
10
00
01
10
00
00
00
01
00
11
10
01
00
00
10
01
01
10
10
00
00
00
00
10
10
10
11
00
11
00
00
10
11
00
00
10
10
00
10
01
00
10
00
01
10
10
10
00
10
00
11
10
11
00
01
10
10
10
10
00
01
00
01
00
10
10
10
10
00
10
10
10
00
00
10
00
00
10
00
01
10
01
00
10
11
11
10
10
00
00
10
10
11
11
00
01
00
11
11
11
00
01
11
10
10
01
01
11
01
00
10
11
11
10
10
10
00
10
10
11
00
11
10
10
00
00
00
00
11
10
10
00
10
00
10
11
00
00
10
11
10
11
00
00
10
10
01
10
01
00
11
00
11
10
00
00
10
11
01
00
10
00
01
01
01
01
10
10
00
00
00
11
10
11
10
01
01
01
00
00
01
11
00
10
10
11
00
00
00
10
10
00
00
10
00
00
00
11
01
01
10
00
01
10
01
00
11
00
00
10
11
00
10
10
00
00
10
00
00
00
11
00
10
00
00
00
00
00
11
10
10
10
00
01
10
11
00
00
00
11
10
00
00
10
11
00
00
10
00
10
10
00
10
10
01
00
10
11
00
10
11
00
01
00
10
10
10
00
10
01
00
10
00
11
10
00
10
10
00
10
10
10
00
00
11
10
01
00
11
10
10
00
01
01
10
11
01
10
01
01
11
11
01
00
01
00
00
11
10
00
10
11
00
01
00
00
00
11
01
10
00
00
01
00
10
00
10
10
01
00
00
11
10
10
00
10
11
10
01
10
10
00
00
00
01
01
11
01
11
00
00
10
01
00
10
10
01
00
00
10
10
00
00
01
01
00
00
10
11
01
10
10
00
00
10
11
11
00
00
10
10
01
10
00
01
01
10
10
10
10
10
01
10
10
10
00
00
10
00
00
00
00
01
10
11
11
01
01
10
11
10
11
01
00
11
01
10
11
10
00
01
10
00
01
00
11
10
11
11
00
10
10
11
00
10
10
00
00
01
01
00
10
10
10
10
00
01
00
10
10
01
00
10
10
00
10
10
10
10
00
00
01
00
00
10
10
10
01
00
10
10
00
00
00
00
00
00
10
00
11
10
00
10
11
10
11
00
11
00
00
00
00
10
10
10
00
10
10
00
00
10
00
10
00
10
00
00
11
10
10
00
01
11
00
00
10
10
11
00
00
00
00
11
11
10
00
00
10
10
10
00
01
11
00
11
00
11
01
10
10
00
11
10
01
00
10
10
01
10
11
00
01
10
01
10
01
00
11
00
00
00
10
11
00
00
10
00
11
10
10
00
00
00
10
10
10
10
00
00
11
00
00
01
10
00
00
00
10
10
10
11
00
00
10
00
00
00
00
10
11
11
00
01
10
10
11
11
11
01
01
10
00
00
10
11
00
10
11
00
01
11
11
00
10
10
11
00
00
10
01
10
10
00
01
11
10
01
10
00
01
10
00
10
01
00
01
10
10
10
00
00
01
11
10
10
00
10
00
10
10
11
01
11
00
00
10
00
11
10
11
00
10
00
00
10
11
00
01
10
11
11
11
10
11
11
11
00
10
11
01
00
00
00
01
01
10
11
01
11
00
10
10
01
00
01
00
10
10
00
10
01
10
10
00
10
01
10
10
01
10
10
10
00
01
11
01
00
01
10
00
11
10
10
00
00
10
10
01
00
01
11
01
01
01
11
11
10
01
11
10
00
11
10
01
00
01
01
00
10
01
00
10
00
00
10
10
00
00
01
11
10
00
10
01
10
10
00
01
11
01
10
01
10
10
10
10
01
11
00
01
11
11
10
10
00
00
01
10
11
01
00
10
00
10
11
11
10
01
11
01
10
01
01
00
10
11
01
10
10
00
11
01
11
00
00
10
10
00
01
11
10
00
10
00
01
00
11
10
00
00
11
01
00
01
10
01
11
10
01
00
10
11
10
01
00
01
10
00
00
00
10
11
00
01
01
10
00
10
10
01
01
11
00
10
11
10
00
00
10
10
10
10
01
11
10
00
00
01
01
11
11
01
01
00
10
00
00
11
10
10
10
00
00
10
10
00
10
00
00
00
00
01
01
11
01
10
10
11
01
10
11
00
01
10
00
10
10
00
00
10
11
00
11
00
10
00
00
00
10
11
01
10
00
10
10
10
00
11
10
10
10
10
11
10
01
00
11
00
11
11
00
11
10
10
01
10
10
10
01
00
11
11
00
00
10
01
10
10
10
00
00
11
00
01
10
10
11
11
01
01
11
10
10
10
01
00
10
10
10
10
10
01
00
00
00
10
10
01
00
00
00
11
00
11
01
01
01
11
00
10
00
00
00
10
10
00
01
00
10
01
00
00
11
00
10
10
10
11
00
00
11
10
10
00
00
01
00
10
10
10
00
10
00
11
10
01
10
01
01
11
00
00
01
11
10
00
11
10
00
10
00
00
10
10
00
00
10
10
00
00
10
10
10
00
01
10
00
10
00
10
11
00
01
00
11
00
10
00
00
00
11
11
01
00
00
10
11
00
10
10
00
01
11
01
01
01
00
11
01
00
10
10
01
10
11
00
10
00
10
11
00
00
11
10
10
00
00
10
10
00
00
00
11
00
11
10
11
10
00
01
00
00
10
01
00
00
10
10
01
10
10
00
01
10
11
01
00
10
10
11
00
11
10
01
10
01
00
01
11
10
00
11
10
00
00
10
10
00
10
01
10
11
00
00
00
00
10
01
10
11
10
11
00
11
11
00
00
10
00
00
01
10
11
00
00
01
10
00
00
10
10
00
11
11
00
00
10
00
01
00
11
00
11
01
10
00
00
11
00
01
11
11
00
00
10
10
00
00
10
10
10
00
11
10
10
00
00
01
01
00
01
10
10
10
11
11
00
00
01
10
00
00
10
00
00
10
01
11
11
11
11
10
11
10
00
00
10
10
10
00
10
10
10
11
01
01
00
11
00
00
10
00
11
11
11
00
00
00
00
00
11
01
00
10
11
10
01
10
00
00
10
10
00
10
10
01
11
00
01
01
11
01
10
00
10
00
00
00
11
01
00
00
00
00
10
00
01
00
10
01
00
01
11
10
10
10
10
01
11
00
01
10
10
01
10
10
10
01
00
10
01
00
00
01
11
10
01
00
10
00
11
10
10
11
01
01
11
11
01
00
00
10
01
10
11
01
10
01
01
11
00
11
11
01
01
01
10
10
00
00
00
00
11
10
00
10
00
00
11
00
11
10
00
10
00
10
00
10
11
10
10
00
00
00
01
00
00
00
10
01
01
00
11
00
10
10
00
01
11
10
01
10
00
10
10
00
01
10
10
10
11
10
01
10
01
00
01
11
10
10
00
00
01
11
11
00
10
01
10
11
00
10
00
10
10
00
00
00
10
00
10
00
10
11
10
01
00
11
00
00
10
10
00
10
01
00
10
10
01
00
00
10
00
01
10
10
00
10
00
00
00
00
10
10
10
00
11
10
10
01
00
00
00
10
10
00
00
10
10
00
01
00
11
01
10
11
10
00
00
10
00
10
00
00
00
00
10
10
10
11
00
01
00
00
10
11
10
10
11
01
00
10
01
00
10
00
10
11
00
00
11
00
00
11
11
00
11
11
11
00
01
10
10
00
00
00
10
00
11
11
10
10
00
10
11
00
11
00
01
11
00
10
01
01
10
10
00
11
10
00
10
10
00
00
00
00
01
10
10
01
00
11
01
10
10
10
00
00
00
10
10
10
00
00
00
10
00
10
00
01
00
10
11
01
01
11
10
11
10
01
00
00
11
10
10
10
10
01
10
01
00
11
11
11
11
00
00
11
10
01
00
10
10
11
01
00
00
10
00
00
00
10
01
10
10
00
00
11
00
01
11
00
10
00
01
10
10
10
11
11
00
10
00
11
10
00
00
10
11
10
00
10
01
00
11
11
00
01
10
11
10
00
01
10
01
01
10
10
10
10
11
10
00
00
10
10
11
10
00
01
10
10
00
00
11
10
00
00
10
11
11
00
10
01
01
10
11
01
00
11
10
11
00
11
10
01
10
10
00
00
00
00
00
10
10
10
01
11
00
00
00
11
00
11
01
10
10
00
11
00
01
10
10
10
10
00
01
00
10
00
11
00
11
00
00
00
00
11
10
11
10
10
10
00
10
00
11
10
00
00
10
10
00
10
10
00
00
00
10
00
11
10
01
01
11
00
10
00
11
11
01
00
10
10
00
00
01
10
11
10
10
10
01
00
00
11
11
10
10
11
11
00
10
10
01
00
10
01
01
11
01
10
01
10
00
01
01
10
00
00
11
00
00
10
01
00
11
00
10
00
00
00
00
11
10
11
00
10
11
10
11
00
00
10
10
01
00
00
11
00
11
00
11
11
01
00
11
01
01
11
00
10
11
10
00
01
00
10
00
00
10
11
00
10
10
10
11
10
10
00
00
10
00
00
00
00
11
10
11
00
11
10
00
00
10
10
01
00
10
10
00
00
10
00
01
10
11
10
01
10
11
00
00
00
00
10
11
10
00
10
00
01
11
11
01
01
00
10
11
10
01
10
11
00
01
10
00
00
10
10
11
10
01
10
01
01
10
00
00
10
10
00
01
10
10
10
10
10
00
01
10
10
00
10
10
01
11
10
11
00
00
10
01
00
10
00
10
00
00
00
10
00
00
01
01
11
01
11
00
00
01
00
11
10
01
01
01
10
10
11
00
11
10
10
00
00
00
00
10
10
11
00
00
10
11
11
10
00
00
00
10
00
01
11
11
00
11
00
11
10
10
10
00
01
11
00
00
10
10
01
11
00
00
10
11
11
00
10
00
10
00
10
10
10
10
00
10
00
10
10
00
10
00
01
00
10
11
10
00
00
01
10
00
10
10
00
01
10
00
10
00
01
01
11
11
10
00
01
00
10
10
01
00
10
01
11
10
00
11
11
00
01
01
10
11
00
00
00
10
11
10
01
01
00
00
10
10
00
00
10
10
00
00
10
00
11
11
00
00
10
11
01
00
00
10
01
10
00
10
10
00
00
01
00
10
10
00
00
10
01
01
01
00
00
01
00
11
01
11
10
00
10
10
00
11
00
00
11
10
10
10
10
10
00
10
01
11
10
00
10
11
11
00
11
00
00
10
01
10
00
10
10
10
01
00
01
10
11
00
00
10
01
00
01
10
10
00
00
10
01
00
10
10
01
10
10
10
01
10
11
00
10
00
00
10
00
10
10
00
00
11
10
10
00
00
10
10
11
00
10
11
10
01
10
11
00
00
00
10
00
11
01
00
10
10
11
10
01
11
00
01
10
11
00
00
00
10
00
00
00
10
10
00
00
00
10
11
10
10
00
00
01
11
11
10
10
00
01
10
10
01
00
00
10
01
10
00
10
00
01
11
10
10
10
00
00
11
00
00
10
10
00
10
00
01
11
11
01
11
00
11
11
01
00
00
11
10
00
11
00
01
10
00
10
01
01
10
00
00
11
00
10
10
00
10
11
01
00
00
10
01
10
00
10
10
10
00
00
01
00
11
01
00
00
10
10
01
01
10
10
00
10
00
00
10
01
01
11
00
11
00
01
10
00
11
00
00
10
00
00
00
00
01
00
01
11
10
10
10
11
00
00
10
01
10
10
00
00
11
00
00
01
01
00
10
01
00
10
10
11
01
00
10
10
00
00
01
01
11
10
10
01
10
10
01
00
10
00
11
11
11
00
01
01
00
01
11
00
00
00
11
10
00
10
00
00
10
10
10
00
10
10
11
00
01
01
11
10
01
10
00
11
01
01
11
10
01
10
10
10
00
01
10
00
00
10
10
00
01
00
11
11
10
11
00
10
01
00
10
10
10
00
00
01
10
11
00
00
00
00
10
10
10
10
10
00
01
10
01
10
10
00
10
10
00
10
10
01
01
01
10
10
10
01
11
11
10
01
11
10
11
11
10
01
01
11
00
10
11
10
10
01
00
11
10
11
00
10
10
10
00
10
00
00
00
11
11
10
01
01
10
10
10
00
00
10
10
10
01
00
11
10
00
01
10
10
00
10
10
00
00
11
00
00
00
10
10
01
01
10
00
10
11
00
00
10
00
00
00
00
10
00
11
11
11
11
10
00
10
10
10
00
00
11
01
11
01
00
00
00
01
10
01
11
01
00
11
11
11
10
01
00
10
10
01
00
10
00
00
11
01
10
11
10
00
10
00
00
01
10
11
10
00
00
10
10
01
10
10
00
00
00
11
10
00
10
01
10
00
10
00
00
10
11
10
10
00
11
00
01
00
00
00
10
00
00
10
10
10
11
10
01
10
01
10
00
11
11
00
01
10
10
00
11
01
01
10
10
11
10
11
00
00
10
00
00
11
00
00
10
10
00
00
10
10
01
10
00
01
10
10
10
10
00
11
10
01
00
10
11
10
01
00
10
10
01
10
01
00
01
10
11
01
10
11
01
10
00
00
10
10
10
00
00
10
11
10
11
00
01
10
10
11
00
10
10
00
00
01
00
11
11
00
00
10
01
00
10
10
00
00
10
10
10
11
10
10
00
01
00
00
00
01
11
00
01
00
00
00
10
10
10
01
00
10
10
10
00
01
10
10
11
10
10
00
00
10
01
00
10
00
01
10
10
10
00
10
01
10
01
00
11
10
00
00
11
10
00
00
11
11
10
00
00
10
10
10
01
10
10
01
00
00
01
10
01
00
11
10
10
01
00
11
01
01
11
10
11
00
11
00
10
10
00
00
01
10
11
11
00
11
00
01
11
11
11
00
00
11
00
00
00
10
00
00
00
10
00
11
10
00
11
00
10
00
00
10
01
00
10
00
00
10
00
10
10
01
00
00
10
00
01
10
01
01
10
11
00
00
10
00
00
11
00
00
10
01
01
00
00
01
00
11
00
10
10
01
00
10
10
01
10
10
10
01
10
01
11
00
10
10
00
10
10
10
10
11
10
00
01
11
01
11
11
10
00
01
10
10
11
11
01
11
11
01
00
00
10
11
00
01
11
00
10
01
10
11
00
01
01
11
10
11
00
00
00
11
01
01
00
10
10
10
00
00
00
10
00
10
10
00
00
01
00
11
10
11
00
10
01
00
01
00
00
11
10
11
00
10
10
10
00
11
00
00
00
10
00
10
10
11
01
10
01
10
00
00
00
10
00
01
11
01
11
10
11
11
01
10
10
00
00
00
10
00
00
10
01
10
11
01
10
00
10
11
00
00
10
00
01
00
10
11
10
01
11
01
11
10
01
01
10
10
10
00
01
10
00
10
00
00
00
10
10
10
00
00
11
11
10
00
01
00
10
10
11
10
10
10
00
11
01
10
10
00
11
00
00
10
11
00
01
10
11
00
10
10
00
01
10
00
11
11
00
00
11
00
00
00
01
00
11
00
01
10
10
10
00
10
10
01
01
10
10
01
00
10
00
10
10
00
00
10
00
10
00
10
00
11
10
11
00
01
10
01
10
10
11
01
10
11
00
01
01
00
01
10
10
10
10
00
11
10
00
11
11
10
00
01
10
00
10
00
01
10
00
10
10
10
11
01
11
00
01
11
10
10
00
10
00
10
00
00
10
10
00
11
10
00
10
00
10
00
11
11
10
00
00
11
10
11
00
00
11
10
00
01
10
11
10
11
00
11
00
00
11
10
11
00
00
10
10
00
00
00
00
10
01
00
01
00
00
10
00
00
00
11
11
00
01
00
00
11
10
11
10
10
00
11
10
11
00
10
10
01
01
11
00
00
00
11
11
01
00
10
11
01
01
01
11
11
01
10
00
00
10
00
10
11
10
00
00
01
10
10
01
00
10
00
10
11
01
00
11
10
00
00
10
10
11
10
00
11
10
11
10
01
01
01
11
01
11
11
11
01
01
10
10
00
01
10
10
00
00
01
10
10
10
00
00
11
10
01
10
10
11
10
00
01
11
11
00
10
00
01
10
10
10
00
00
01
00
10
11
10
01
11
11
11
10
10
00
00
11
10
00
00
10
10
10
11
10
00
00
11
00
00
01
00
10
00
00
11
00
00
11
00
00
11
10
10
10
10
01
10
10
11
00
10
10
00
11
00
00
11
11
10
01
00
01
10
10
10
00
11
01
01
10
00
11
00
11
10
11
10
00
10
10
01
00
11
01
00
10
00
10
11
10
00
10
10
00
11
00
10
00
01
00
10
00
01
00
10
01
01
00
10
11
11
10
00
10
10
01
00
11
00
01
10
10
01
00
00
01
10
10
00
11
10
10
10
00
01
11
10
01
00
01
11
11
10
11
00
00
00
11
00
00
10
10
00
10
10
00
00
10
11
00
00
11
01
01
10
11
00
01
00
11
10
10
00
00
11
10
01
00
00
10
10
00
10
11
10
00
11
11
00
01
01
11
00
10
01
11
00
01
10
10
11
10
11
01
10
10
00
10
10
00
11
00
00
00
10
10
00
00
01
01
11
11
00
10
01
10
11
11
10
00
01
00
00
01
00
10
10
01
00
01
10
10
10
01
10
01
10
00
01
00
10
10
01
00
00
11
11
10
10
10
00
00
10
11
10
11
00
00
00
10
00
01
11
11
01
01
01
11
10
11
01
01
01
10
10
10
01
00
00
00
10
11
00
01
11
00
00
10
10
01
10
10
00
00
00
01
10
11
11
00
01
00
10
00
01
10
10
10
00
10
11
11
00
10
00
00
11
10
10
10
00
10
10
00
01
00
00
11
10
10
00
10
00
01
11
10
01
01
00
00
00
11
00
10
11
00
10
11
00
10
00
00
11
00
01
00
10
00
00
11
01
10
10
10
10
11
01
00
00
00
11
00
11
00
10
00
00
10
00
10
11
01
01
11
00
10
11
10
01
10
00
01
10
10
10
10
00
00
00
10
00
10
10
00
11
00
00
00
01
00
00
00
10
00
00
11
00
10
10
00
00
10
01
01
00
00
10
00
11
00
01
10
11
00
10
01
01
10
10
00
00
11
10
10
00
10
01
01
01
10
00
00
01
00
10
00
00
10
00
10
00
01
00
01
10
01
00
01
10
11
00
00
11
10
11
11
10
00
10
10
01
00
11
11
01
00
01
10
01
10
11
00
00
11
00
10
10
10
10
10
11
11
01
10
01
01
00
10
11
00
01
01
10
10
01
10
00
00
10
10
00
10
00
01
11
00
01
10
10
00
01
10
10
00
01
10
10
01
00
11
10
00
10
10
00
01
00
10
10
10
00
01
10
01
11
11
00
10
01
10
10
00
01
10
11
00
01
10
00
01
10
01
10
00
00
01
01
00
00
00
01
10
10
10
11
00
00
00
10
11
00
01
00
00
01
10
11
00
00
10
00
10
01
00
11
10
00
01
00
00
10
11
10
00
10
01
00
00
00
11
10
00
10
01
00
11
01
01
10
00
00
10
10
10
00
00
10
11
10
01
00
11
10
01
10
10
00
01
01
11
01
00
10
10
00
10
11
10
00
00
10
00
01
01
00
10
01
00
01
01
10
01
00
11
00
10
11
10
10
00
10
11
10
11
10
10
00
10
11
00
10
10
01
00
00
10
00
10
00
00
01
11
10
01
10
11
11
00
00
10
10
00
11
10
00
00
00
11
10
11
10
11
00
00
00
01
00
11
10
00
10
10
00
11
00
10
10
00
01
10
10
01
10
11
01
00
11
11
10
00
00
10
00
01
10
10
10
01
10
10
00
00
00
10
10
00
00
00
10
00
00
00
00
10
10
10
10
00
00
10
10
10
01
10
01
11
10
11
00
10
11
01
00
11
10
01
10
00
00
11
00
01
10
10
11
01
10
10
00
00
00
01
11
00
01
10
11
11
11
10
10
10
00
01
11
00
00
01
10
00
11
11
00
10
00
00
10
00
11
10
10
11
00
11
10
01
01
10
10
01
11
10
10
00
01
10
10
11
11
01
11
01
00
11
10
10
00
00
10
00
10
00
10
00
10
00
01
00
10
10
10
00
00
10
10
10
00
00
11
10
01
01
10
00
10
00
10
11
00
11
01
10
00
10
10
00
00
11
10
01
01
10
10
00
00
11
10
00
10
00
00
10
01
11
10
11
11
00
11
10
00
00
10
10
01
10
11
10
11
00
11
00
00
11
11
00
10
10
00
10
10
00
01
11
10
00
10
01
11
10
00
11
10
10
10
00
00
00
11
00
10
10
00
00
11
10
10
01
01
11
10
00
00
00
00
10
00
11
00
00
00
00
00
00
10
01
01
10
00
10
10
10
00
01
10
01
00
01
11
10
00
01
00
11
00
00
01
10
10
00
10
11
11
10
11
01
00
00
00
00
11
10
00
10
11
00
11
10
00
00
00
10
01
00
10
10
10
00
11
10
00
00
10
00
10
10
01
11
00
10
00
01
00
10
00
10
10
11
01
01
10
00
00
00
11
10
10
01
10
11
10
10
00
00
00
10
10
00
10
10
00
00
01
10
00
00
11
01
10
01
10
01
01
00
10
00
11
11
00
10
00
01
00
11
10
10
10
11
01
00
10
10
10
00
11
01
01
11
10
00
11
11
01
01
10
10
00
11
11
10
00
10
10
00
00
01
10
10
11
10
10
00
00
11
00
01
11
10
00
00
00
01
11
10
10
10
11
01
01
00
10
11
11
00
00
10
01
10
10
10
10
00
01
10
10
00
10
01
10
10
00
00
11
01
10
11
01
00
10
10
10
00
10
11
00
01
10
01
10
10
01
01
11
10
01
01
10
11
10
01
00
10
10
00
10
11
00
00
00
10
10
00
00
01
00
11
11
00
11
10
01
01
11
10
00
00
10
10
01
00
10
10
00
01
10
00
01
11
10
00
10
00
10
11
01
10
10
01
10
00
10
11
10
01
00
00
10
10
00
00
01
11
11
10
10
11
01
10
00
00
00
10
11
00
10
10
00
01
11
00
01
01
00
10
10
10
00
01
10
10
01
10
00
10
00
00
00
10
11
10
00
10
00
10
00
10
01
11
10
00
00
01
11
00
01
10
00
10
11
00
00
01
10
10
11
00
00
00
00
00
10
10
10
00
10
10
11
00
11
10
11
10
01
10
11
00
00
00
10
11
10
10
00
00
00
10
01
01
10
10
10
01
00
11
10
00
10
11
00
01
10
10
10
11
00
00
10
01
11
10
01
11
10
01
01
11
00
00
10
11
00
10
00
10
00
11
00
00
10
10
11
01
10
11
00
00
00
00
01
10
10
00
10
01
10
00
10
01
00
10
00
10
00
00
10
00
10
00
00
10
01
10
00
01
10
01
00
00
10
00
01
00
00
10
01
01
11
00
00
00
00
01
01
10
10
00
10
01
00
10
01
00
01
00
10
10
10
00
00
00
10
00
01
10
10
10
11
00
10
10
00
00
11
10
00
00
11
10
11
10
00
01
01
00
01
11
10
11
10
10
10
01
01
01
00
00
10
00
00
11
10
11
01
01
10
00
10
10
00
00
10
10
10
01
10
01
10
11
00
00
10
00
11
10
00
11
10
00
11
11
10
10
00
01
11
10
01
00
01
11
11
00
00
11
10
11
11
00
10
10
11
00
10
00
01
10
10
01
00
00
10
10
01
10
01
01
00
00
01
00
11
11
11
00
11
00
00
10
10
00
10
10
00
00
10
10
00
11
01
10
10
00
01
00
00
10
11
10
10
10
00
10
01
10
10
00
00
00
01
01
10
10
11
00
10
00
01
01
00
10
10
00
10
11
00
01
00
01
10
01
10
11
10
01
10
11
11
10
00
00
00
11
00
01
10
10
10
00
01
00
00
10
00
00
01
10
10
10
10
11
10
01
10
11
00
01
10
11
00
00
11
01
10
10
10
00
00
10
10
00
10
00
00
10
00
10
11
01
01
10
10
01
11
11
11
10
01
00
01
00
10
11
01
00
01
10
10
00
10
00
10
00
00
00
11
10
00
11
00
10
00
00
11
11
00
01
00
00
10
00
01
11
00
10
00
00
00
00
10
10
01
11
11
11
10
10
11
10
00
01
11
11
10
11
10
01
01
10
01
00
10
10
10
00
10
10
01
00
10
00
10
01
01
10
10
10
01
00
01
00
10
11
10
11
10
00
00
10
00
10
00
01
10
10
00
00
10
11
00
10
11
00
11
01
10
11
10
00
00
10
11
00
01
11
00
11
00
10
10
10
01
00
10
11
10
00
11
01
00
00
10
11
00
01
10
00
11
10
01
11
10
00
10
00
10
00
00
11
00
10
11
00
01
00
00
00
00
00
10
01
00
10
00
00
11
11
11
00
01
10
10
11
01
11
10
01
00
00
10
00
10
10
00
01
10
10
10
00
01
10
11
01
00
10
01
11
00
10
00
01
11
10
10
00
00
10
10
00
10
10
00
00
00
01
10
10
10
10
01
10
10
00
00
11
10
00
01
11
00
00
10
00
00
11
10
11
11
00
10
10
00
00
10
10
10
10
00
00
11
00
11
00
10
11
11
11
01
11
10
00
01
11
11
00
00
10
00
10
10
00
00
10
00
10
00
00
01
11
01
10
10
01
10
10
10
00
01
10
10
11
10
10
10
00
10
10
00
00
00
00
01
10
10
11
10
10
10
10
01
00
10
10
10
00
10
00
10
10
00
00
10
00
10
01
10
11
11
00
00
10
01
10
10
11
00
00
10
10
10
00
10
00
00
01
11
10
00
10
00
10
01
10
10
00
01
10
10
10
00
10
10
10
11
10
01
10
10
00
00
10
01
00
11
10
10
11
10
10
01
10
10
00
10
00
00
01
00
00
10
01
00
11
10
01
00
10
11
00
00
10
11
00
11
10
10
01
00
01
01
10
10
10
01
00
00
10
10
10
01
00
00
10
11
01
01
00
00
11
11
00
00
11
11
00
11
10
00
00
00
10
00
00
11
11
00
11
10
00
01
00
01
00
10
00
11
00
10
11
00
10
01
00
11
01
10
11
01
10
00
00
10
10
11
00
01
10
00
10
00
01
00
11
11
00
00
11
10
00
00
10
10
00
11
11
00
00
00
10
01
10
10
10
00
00
01
00
00
11
10
01
01
00
11
10
10
01
00
11
00
10
11
00
11
00
10
00
11
10
10
00
01
00
11
10
11
00
10
01
01
11
10
10
10
11
00
10
01
01
11
10
01
00
10
10
00
00
11
11
00
00
00
11
01
00
00
00
01
00
10
10
00
00
10
01
01
10
10
00
10
10
00
10
00
10
11
10
10
00
00
01
10
10
11
10
00
01
00
00
10
10
10
01
01
11
10
11
11
11
00
00
10
01
11
10
01
10
01
01
10
01
01
11
00
00
10
10
10
01
00
10
10
00
11
00
01
10
10
00
10
10
00
00
10
10
10
00
10
01
11
00
10
10
10
00
00
00
01
10
10
01
10
11
11
11
10
01
10
01
00
10
10
00
01
00
11
10
10
11
10
00
10
01
00
00
01
10
10
00
00
00
11
00
01
10
10
01
00
11
10
11
10
10
10
00
10
10
11
00
00
00
10
00
10
00
01
01
01
11
11
10
10
10
00
11
10
01
01
00
11
10
10
01
00
10
10
01
00
01
01
11
00
10
11
10
00
00
11
00
00
10
11
10
01
00
00
10
10
00
10
10
11
01
10
10
00
00
00
00
01
10
11
00
00
10
00
00
11
00
01
00
00
00
01
01
11
01
11
10
01
10
11
10
00
01
10
11
00
10
10
00
00
01
10
10
00
00
10
10
00
01
01
11
01
10
00
11
00
01
10
11
10
01
10
00
00
00
00
11
00
00
10
10
01
10
01
10
10
10
00
00
10
10
01
01
10
10
01
01
01
11
10
11
11
00
01
10
00
00
00
01
10
01
10
10
11
01
10
01
01
10
10
01
11
10
00
00
10
00
00
11
11
00
10
10
00
10
10
11
00
11
00
01
00
10
11
00
11
00
10
10
11
10
00
00
00
01
10
11
10
10
00
01
00
11
10
01
10
00
00
10
10
01
00
01
10
11
10
10
10
00
00
00
00
10
10
10
10
10
10
00
10
10
00
00
10
00
00
00
11
01
01
10
10
00
10
10
11
01
00
00
10
10
11
10
01
01
00
00
10
10
10
10
00
10
00
00
11
00
01
10
00
10
11
10
01
10
10
00
00
00
01
10
10
00
00
00
00
11
10
10
00
01
00
10
01
00
10
10
11
00
10
01
10
10
01
00
01
11
11
10
10
00
11
11
01
01
00
01
00
00
10
00
10
10
00
01
00
11
00
01
01
00
11
10
00
00
11
10
10
01
00
10
01
10
01
01
10
00
00
10
00
01
11
10
10
00
01
01
01
11
00
10
01
10
10
11
00
00
10
10
10
10
10
00
01
10
11
00
11
11
01
01
01
10
11
00
00
00
00
10
10
10
01
11
11
10
10
11
01
10
10
00
00
10
10
11
10
11
10
10
10
01
00
11
01
01
10
01
10
10
00
00
00
01
10
10
10
11
01
00
10
10
11
01
11
00
00
10
10
00
00
00
01
01
10
01
10
10
10
01
00
00
10
10
10
10
10
01
11
11
01
01
01
01
10
10
01
11
11
01
00
01
11
00
10
10
10
01
01
11
10
00
00
00
11
00
00
10
00
10
00
00
10
00
11
11
01
11
00
10
00
11
11
01
00
10
00
10
01
00
11
00
00
01
00
10
11
10
00
01
10
10
11
01
01
11
00
11
00
00
10
00
11
01
11
11
00
11
00
11
11
00
11
00
10
10
10
00
00
00
01
10
10
01
00
01
11
10
10
01
01
11
10
01
00
11
01
01
10
10
00
00
11
11
10
00
01
00
00
11
11
11
10
00
11
01
11
00
01
11
10
01
00
10
00
01
11
00
00
10
10
10
00
00
00
10
01
00
10
11
10
11
00
10
10
00
11
10
00
00
11
00
01
00
00
11
00
01
00
00
10
11
00
00
10
11
10
11
00
10
10
00
00
10
10
10
11
11
01
01
00
00
10
00
00
01
11
10
00
11
11
00
11
11
11
10
01
01
10
00
01
00
10
10
00
11
10
11
00
00
00
10
10
01
00
11
00
00
00
10
10
00
00
01
11
11
00
11
00
00
00
00
11
10
10
10
10
00
10
10
01
00
00
10
01
10
00
01
10
01
01
11
10
10
01
00
00
00
10
11
10
00
11
10
01
10
10
00
00
10
10
11
10
10
00
10
00
10
10
00
11
00
10
11
11
01
10
11
00
10
10
00
01
10
11
01
01
11
00
00
00
10
01
10
11
10
10
00
10
10
00
00
10
11
10
11
00
10
01
00
00
00
10
10
00
10
10
01
10
01
01
10
00
00
00
10
10
00
01
00
10
10
11
11
00
00
11
00
11
00
11
10
01
01
11
00
00
10
11
10
00
00
11
11
00
00
11
00
10
01
00
10
10
00
01
11
11
10
10
00
00
11
10
00
00
00
10
11
11
10
00
10
10
10
10
00
10
10
01
01
10
00
01
01
01
01
00
11
10
10
00
01
10
11
00
00
00
00
00
10
10
10
10
00
00
11
01
01
00
00
00
00
01
11
10
00
11
10
11
00
11
01
00
11
00
11
11
10
00
01
00
10
11
00
01
01
10
10
01
10
11
00
01
00
10
00
00
11
10
11
00
10
10
10
00
00
00
10
11
00
01
10
10
00
11
10
11
11
00
10
00
01
10
00
00
11
10
00
01
01
10
10
10
10
01
00
01
10
01
00
10
10
10
10
00
01
10
00
10
10
00
11
11
10
00
00
10
10
01
00
01
10
10
11
10
00
01
00
00
11
10
10
10
01
10
01
10
11
10
10
11
01
00
10
00
01
00
11
00
00
10
10
10
01
00
10
00
10
00
01
00
10
01
00
00
10
00
00
10
11
11
11
01
00
10
00
11
10
11
00
00
10
01
00
11
00
10
10
00
01
10
00
10
10
00
11
11
10
00
00
00
01
10
01
00
00
10
00
00
00
00
11
00
00
10
00
11
10
00
11
01
00
10
01
11
00
10
10
00
01
00
00
11
11
01
00
01
10
01
11
00
10
11
00
00
10
10
00
01
10
10
10
00
01
10
11
10
10
01
00
01
01
10
10
10
01
10
10
00
01
01
11
01
01
00
10
01
00
00
10
10
01
00
10
10
11
11
11
00
00
00
00
10
11
01
00
10
10
00
00
00
10
11
01
11
10
11
11
11
00
00
10
10
00
01
00
00
10
01
00
01
01
00
10
00
10
10
00
00
10
11
10
10
10
10
10
11
00
01
00
10
10
10
10
10
11
00
00
10
00
10
01
10
01
10
11
01
11
11
00
11
01
10
11
10
11
00
10
11
11
00
01
00
00
10
10
01
00
00
00
01
11
00
10
00
10
00
01
10
11
10
10
01
00
10
11
11
00
01
00
10
00
00
00
10
11
10
10
01
00
00
01
01
10
11
01
00
10
01
00
10
01
00
10
10
00
00
00
10
01
01
01
10
00
00
00
00
10
11
00
11
10
10
10
00
01
00
00
10
00
10
10
01
10
10
00
11
00
00
01
00
00
01
11
10
10
10
01
01
00
10
01
00
10
10
00
10
10
00
00
10
00
10
00
00
00
00
11
10
10
00
11
10
00
10
00
01
11
10
10
10
10
11
00
11
10
10
11
00
10
11
00
00
11
00
11
00
00
11
10
01
10
10
00
10
11
10
10
00
00
11
10
10
00
10
10
10
00
01
11
11
00
10
10
10
11
10
01
00
11
00
10
10
00
01
11
10
01
01
10
01
01
01
10
00
01
11
10
10
00
00
11
10
01
10
10
01
11
01
01
10
10
01
01
01
10
10
00
10
10
01
00
10
11
11
00
10
00
10
11
01
01
11
10
11
10
10
00
11
10
00
11
00
01
00
10
10
00
10
00
01
11
00
10
00
10
10
00
00
10
01
01
10
11
11
11
11
10
10
00
10
10
10
00
00
00
10
10
11
00
01
10
10
00
01
00
11
00
00
00
01
10
00
10
00
00
10
00
10
00
10
10
10
00
00
00
00
11
11
00
00
00
10
00
01
11
10
10
00
01
00
01
11
00
11
00
00
00
01
11
10
11
11
10
10
01
00
10
10
01
00
10
10
11
00
01
01
00
00
10
01
11
10
01
11
01
10
10
00
00
01
10
01
10
11
01
00
00
01
01
10
00
10
11
00
01
11
10
00
00
00
00
00
10
00
00
00
00
10
11
01
11
01
01
00
10
11
01
11
10
01
01
00
10
11
00
00
11
11
10
11
01
00
00
00
10
10
01
00
10
01
10
00
10
00
10
11
00
10
00
00
01
10
00
10
10
11
10
11
11
10
10
00
00
00
11
10
01
10
00
10
10
00
00
00
10
00
00
01
11
10
00
01
10
01
10
00
10
10
11
10
01
00
10
00
11
01
10
10
10
01
11
10
00
11
11
01
00
00
00
10
00
10
10
00
10
10
11
00
00
11
10
01
01
10
00
10
10
00
00
00
10
10
10
00
11
10
10
00
00
10
10
11
01
11
00
00
00
11
10
01
00
10
10
11
10
00
11
10
01
00
01
10
00
10
00
00
11
11
01
01
11
11
10
01
10
10
01
00
01
10
01
01
00
11
11
11
01
00
11
10
01
00
10
11
01
10
11
10
00
00
11
00
01
10
10
00
10
10
01
10
00
10
10
11
11
00
10
10
01
10
10
00
00
00
00
10
01
00
11
01
01
10
10
00
00
00
10
00
10
11
00
00
00
10
10
00
10
00
00
01
01
10
00
01
10
00
00
10
10
01
10
00
10
10
00
01
00
00
10
11
10
10
00
00
01
11
00
01
01
10
00
00
10
10
00
01
10
10
00
00
10
10
01
11
10
10
01
00
11
10
10
01
01
00
10
10
00
01
00
11
00
10
10
00
11
00
10
10
10
00
11
00
00
00
11
01
00
10
10
10
10
00
00
01
10
01
00
11
10
01
00
10
10
11
10
00
01
10
00
10
00
01
00
11
01
11
10
11
00
10
00
01
00
10
11
00
01
10
01
10
10
00
01
00
10
00
01
10
00
10
11
00
01
00
01
10
00
11
11
00
01
00
11
01
00
11
11
00
00
11
10
00
10
10
10
00
01
10
11
00
00
10
11
00
00
10
11
11
10
10
00
10
10
00
00
00
10
01
00
00
01
00
00
11
10
00
00
10
00
01
11
10
00
10
00
01
01
11
00
11
10
10
10
00
10
11
00
00
00
10
10
00
10
00
11
00
00
10
01
00
10
10
01
11
01
01
00
10
10
00
00
01
10
10
00
10
00
01
01
00
11
11
00
10
01
10
10
11
11
00
10
10
00
10
10
11
10
01
01
01
11
10
01
10
10
10
10
00
01
10
10
10
00
10
10
10
00
11
10
00
00
01
00
10
11
11
10
00
01
11
10
00
00
00
10
10
11
10
01
11
10
10
00
10
00
00
11
10
10
00
00
01
00
01
10
00
00
01
11
10
11
01
10
10
00
10
10
00
11
01
01
11
00
10
00
01
00
11
00
01
11
01
01
01
10
11
11
00
00
10
10
00
10
00
11
11
10
10
10
10
01
00
11
10
00
11
10
01
01
00
10
01
11
10
01
00
11
00
01
00
11
10
00
10
00
01
10
00
01
00
00
00
10
11
10
10
00
00
11
10
10
01
00
00
00
10
11
10
10
10
00
10
00
01
10
11
00
11
00
10
10
01
10
10
00
01
00
00
01
10
10
01
00
01
00
10
10
10
00
00
00
11
11
10
10
00
10
01
11
01
00
10
00
00
10
10
10
10
10
11
00
01
00
00
10
00
10
00
00
10
10
00
00
00
11
00
10
11
00
10
00
11
11
00
00
11
10
01
10
11
01
10
01
00
00
10
00
01
01
10
10
10
00
11
00
00
11
10
01
00
11
00
01
01
00
10
10
01
00
10
11
01
00
11
11
01
01
10
10
00
10
10
10
00
01
10
11
10
11
11
10
01
01
01
00
10
11
00
00
10
10
00
10
10
10
01
00
00
10
11
00
00
00
11
11
00
00
00
10
00
00
11
00
10
10
11
11
10
11
11
10
10
11
01
00
10
10
00
01
10
10
10
00
01
11
10
10
01
10
11
00
10
01
00
10
11
00
00
10
00
00
10
10
00
10
11
01
01
01
10
11
00
00
10
01
00
11
10
01
00
10
10
00
10
10
10
00
10
00
01
00
10
10
10
00
01
00
01
01
10
10
10
10
11
00
00
11
10
01
01
10
01
10
10
10
00
00
10
01
01
11
10
11
00
01
01
00
00
10
10
00
10
10
10
00
01
10
11
00
10
11
01
10
10
00
00
10
11
01
10
10
00
10
00
10
01
10
00
00
11
10
00
00
10
10
00
00
10
00
00
00
11
00
01
01
00
10
10
10
10
00
00
01
11
10
01
01
10
00
10
10
00
10
10
11
01
01
00
10
10
01
10
10
10
11
00
01
11
10
00
01
11
01
00
10
10
11
00
10
11
00
01
10
00
10
00
10
01
00
11
10
00
00
11
00
00
10
10
01
10
01
00
10
00
01
10
11
01
00
10
01
00
10
10
00
11
10
01
01
01
01
10
10
01
10
11
10
11
00
01
10
10
10
00
00
11
00
00
00
10
01
11
01
00
00
10
11
00
11
00
00
01
10
00
00
10
10
01
00
11
00
10
01
10
10
00
00
10
10
00
00
10
11
10
00
00
10
10
11
10
00
11
10
11
01
10
10
10
00
01
01
10
10
00
00
00
00
00
01
10
11
11
10
10
11
11
01
00
11
10
01
01
10
00
11
00
00
10
10
00
00
00
00
10
10
11
10
10
10
00
10
00
11
00
00
11
10
00
10
10
00
11
11
10
01
00
11
11
10
01
00
00
11
00
00
11
10
10
01
01
11
01
11
10
01
00
01
00
10
10
00
10
10
10
00
00
11
00
10
00
01
11
10
10
10
00
11
10
00
01
00
10
10
11
00
10
00
01
00
10
10
10
01
00
00
10
10
10
10
10
00
00
10
11
11
00
01
00
10
11
01
00
10
10
10
10
00
00
10
00
00
10
10
11
10
00
11
00
00
11
00
00
00
10
11
01
00
01
11
11
00
00
00
00
01
10
10
00
00
10
00
11
00
00
11
01
00
10
01
10
10
00
10
00
01
10
11
00
01
00
11
10
11
10
01
11
10
10
00
00
11
11
01
01
10
11
00
11
01
01
11
10
00
01
00
10
00
00
10
11
00
10
00
00
10
10
10
10
00
00
01
11
10
11
11
10
11
00
01
00
11
10
11
10
00
00
00
00
01
10
01
01
10
10
10
01
11
11
00
00
10
01
01
10
11
00
00
10
01
11
01
00
10
10
00
00
10
00
01
10
10
01
10
10
00
00
11
00
01
10
00
00
11
00
11
10
00
00
00
00
10
11
01
01
10
10
11
10
10
11
00
01
10
01
11
10
00
01
10
10
01
10
00
00
10
11
00
00
10
10
00
11
00
00
10
10
11
10
10
10
11
00
11
10
01
01
00
11
00
11
10
00
01
01
11
10
00
10
00
00
10
11
00
00
10
00
00
10
01
00
00
01
11
00
00
00
10
11
11
00
01
01
10
11
10
01
10
00
10
10
11
01
10
00
10
11
00
00
00
11
10
11
10
00
10
10
01
11
00
00
10
00
10
00
10
10
00
10
00
10
10
10
00
11
00
00
01
01
10
00
11
10
00
01
10
01
00
10
01
10
00
01
10
11
00
00
10
10
01
00
10
00
10
01
00
00
01
11
00
10
10
10
10
00
00
10
01
00
01
00
10
10
10
00
10
10
10
10
11
00
00
11
00
01
10
00
11
10
01
00
00
10
00
01
00
11
10
00
10
00
10
10
01
01
00
11
10
11
00
10
01
11
00
00
01
10
10
01
11
10
01
00
00
10
10
00
00
00
11
00
10
10
10
10
01
10
00
00
01
10
10
00
10
01
10
00
10
00
11
00
11
00
01
10
00
01
00
11
00
10
10
10
10
10
00
00
10
01
01
11
10
00
01
10
10
10
00
00
00
10
10
00
00
00
00
00
10
10
10
11
10
10
00
00
00
01
10
01
00
10
00
10
10
10
01
00
11
00
00
00
10
10
10
01
00
11
10
01
11
10
11
01
00
10
00
01
11
00
01
11
00
10
01
10
00
00
01
00
00
00
10
10
10
11
10
00
00
10
10
10
00
00
01
10
10
10
10
01
11
11
01
00
10
01
10
11
01
00
10
10
10
00
00
10
01
10
00
11
00
10
00
01
10
10
00
00
10
10
01
10
10
00
00
00
10
00
00
11
10
10
00
10
11
01
01
11
10
10
00
10
10
10
01
01
11
01
01
00
10
10
00
10
10
00
00
11
10
11
11
10
00
00
10
01
10
00
00
00
01
01
10
10
10
10
01
01
10
00
01
10
01
10
10
11
10
00
00
10
11
10
00
00
00
00
10
01
10
10
00
00
01
00
11
11
00
10
00
00
10
10
00
10
00
00
00
10
00
10
00
00
00
11
01
10
00
10
10
10
00
00
10
10
01
10
00
00
11
11
01
10
10
10
01
10
11
01
00
10
10
10
00
11
10
00
00
10
11
10
00
10
00
11
00
11
11
00
11
10
00
00
00
11
11
00
01
00
11
10
10
10
01
01
11
01
10
11
01
11
00
11
11
00
01
11
00
11
11
00
00
10
11
01
11
10
01
10
10
00
11
11
01
00
11
10
11
10
01
01
10
10
01
10
11
10
00
11
10
01
00
10
00
01
00
00
10
10
11
00
01
11
00
10
10
00
11
10
01
10
10
00
10
10
00
11
11
01
00
10
10
10
01
01
00
11
00
00
11
00
10
10
01
00
00
10
10
01
00
11
00
01
10
00
10
00
00
10
11
01
00
10
10
00
10
00
00
10
01
00
11
11
00
10
00
01
10
01
00
10
10
00
00
10
00
01
00
11
00
10
00
00
10
10
10
01
10
10
10
00
00
00
10
10
00
00
00
00
00
10
10
00
10
11
01
10
11
00
01
11
10
00
00
10
00
10
10
11
01
00
11
00
10
10
10
00
00
10
11
11
01
11
01
10
10
10
11
11
01
01
00
10
00
00
10
00
00
10
10
10
01
11
01
00
10
00
00
00
00
11
10
11
01
01
10
00
00
10
01
00
00
01
00
11
00
00
10
10
00
01
10
10
00
10
11
00
00
10
11
10
00
00
10
10
00
01
00
10
00
00
00
01
00
00
00
11
01
01
10
01
01
11
11
00
01
11
01
01
10
10
01
00
10
10
01
01
11
10
10
00
10
01
10
00
10
00
10
11
01
00
10
01
10
10
00
10
00
01
10
10
00
01
10
01
10
00
00
10
01
00
00
10
10
00
00
10
00
10
01
00
10
10
11
10
10
00
00
01
01
00
11
11
01
01
01
00
11
11
00
00
00
10
10
00
00
10
10
01
00
10
11
10
10
01
01
00
01
10
11
01
11
10
00
01
10
01
00
01
10
10
00
10
00
10
11
00
11
00
11
00
01
10
11
00
00
00
01
11
11
00
10
01
00
01
00
00
10
10
00
00
00
10
00
01
10
10
11
11
00
01
11
01
00
10
10
00
11
10
00
10
10
00
10
01
10
00
00
10
11
00
01
00
10
10
10
10
10
00
00
00
00
10
11
10
01
10
10
10
11
00
11
00
00
11
10
10
00
11
11
00
00
11
00
00
00
00
10
10
00
10
01
01
11
11
11
11
01
10
10
10
00
01
11
10
00
00
00
10
10
00
00
01
11
10
10
00
01
00
11
00
11
00
00
01
10
11
01
10
10
10
01
10
00
00
01
10
10
10
00
11
11
00
11
10
10
10
10
00
00
10
10
10
00
10
11
00
00
00
00
10
10
00
00
01
10
01
00
11
10
11
11
10
01
00
11
00
11
11
10
00
00
10
10
10
01
10
10
00
11
00
10
00
10
00
11
10
11
10
00
10
00
11
01
10
10
10
00
10
10
01
10
10
00
01
11
00
10
11
11
00
00
00
01
01
10
10
10
10
00
00
01
11
10
10
01
10
11
11
11
11
10
00
10
00
01
11
00
01
10
00
00
01
10
11
00
00
10
11
10
01
00
11
11
00
11
10
00
00
10
10
10
01
00
11
11
00
10
01
01
11
11
01
01
11
11
10
10
01
00
00
00
11
10
11
01
10
00
01
10
01
00
00
10
10
11
10
00
01
10
00
01
00
10
10
10
00
00
00
01
00
11
00
01
00
10
10
11
10
00
11
10
00
11
11
10
01
10
00
10
11
10
01
00
01
10
01
10
10
11
00
11
10
10
00
00
11
10
11
00
01
10
00
00
11
01
00
10
10
10
10
10
00
00
00
10
10
00
01
11
11
10
00
00
11
11
01
10
00
10
00
00
10
00
01
10
01
00
11
10
01
00
11
10
01
01
10
10
00
00
10
10
10
00
00
01
11
00
10
11
10
00
00
11
00
00
00
00
11
00
01
11
00
01
10
10
00
10
10
00
10
11
10
11
10
00
00
00
11
00
10
01
00
00
11
11
10
00
10
10
01
11
01
10
10
11
11
00
00
10
11
00
00
00
00
00
01
10
01
00
10
00
10
10
00
11
00
11
00
01
01
10
00
00
10
10
11
10
01
00
00
00
10
10
10
10
00
00
10
10
11
11
00
00
10
11
11
01
00
11
10
00
10
01
01
01
10
10
01
10
00
10
00
00
11
10
00
10
00
10
10
10
11
10
00
10
10
00
11
10
01
00
10
01
10
01
11
01
00
10
10
00
00
11
00
11
11
10
00
11
10
01
00
01
10
10
01
01
00
10
00
01
10
10
10
00
10
11
11
10
01
01
01
10
11
10
10
00
00
11
10
01
10
00
00
10
00
01
01
10
01
00
10
10
10
01
10
10
00
00
10
10
00
10
10
11
10
00
10
00
10
11
10
00
00
01
10
00
01
10
10
11
00
10
11
10
00
00
10
10
00
01
11
00
01
01
00
11
00
00
11
00
01
01
10
11
01
00
11
11
00
00
01
00
11
00
00
11
01
10
10
00
00
01
11
11
11
10
11
01
00
00
10
11
00
00
00
11
11
11
11
10
10
10
00
00
00
00
10
00
00
10
10
00
01
11
10
00
11
10
11
11
00
10
10
00
10
11
00
11
01
10
10
00
00
00
00
00
11
10
10
00
01
11
01
00
10
10
01
01
01
00
01
10
10
00
10
10
00
00
10
11
10
10
10
01
10
00
00
10
00
11
01
11
01
00
01
11
10
00
00
10
10
10
00
00
10
00
10
00
01
11
11
10
01
01
11
01
00
00
11
01
10
10
01
00
11
10
11
00
10
00
10
10
00
00
10
10
00
00
11
00
10
10
00
00
00
01
10
10
10
00
00
00
10
10
00
00
10
10
00
00
00
00
00
10
10
00
10
00
10
10
10
00
00
00
01
10
11
00
10
11
01
10
10
00
11
01
10
10
10
11
00
10
01
00
01
00
00
00
10
00
10
10
01
10
00
01
01
11
10
01
00
00
10
10
00
00
01
10
10
11
11
11
10
01
01
10
10
11
00
01
00
10
11
00
10
11
01
00
11
10
01
10
10
00
00
10
10
10
00
01
10
00
01
11
00
00
11
00
10
10
10
11
10
10
00
10
00
00
10
00
00
00
00
00
10
00
01
00
01
11
01
10
00
10
11
10
01
10
10
01
00
01
01
10
10
00
10
10
11
00
00
11
01
01
10
10
01
11
01
00
10
10
10
11
00
10
00
01
00
00
01
11
00
10
10
01
01
10
11
00
10
11
10
10
10
00
00
10
00
01
10
10
11
11
11
10
00
01
00
10
10
01
00
11
10
10
00
10
01
10
11
00
00
10
00
00
11
10
00
11
11
10
10
11
00
00
00
00
11
01
10
10
11
11
11
10
00
01
01
11
10
10
00
00
01
00
11
10
00
00
10
01
00
11
10
10
01
11
10
00
00
10
10
00
10
00
10
00
00
11
11
10
10
01
10
00
01
10
00
00
10
11
10
10
00
01
01
01
10
00
10
10
11
01
01
11
00
10
01
00
11
01
00
11
10
11
10
01
10
01
00
10
01
00
00
00
00
11
00
10
11
00
01
00
10
10
10
01
01
10
11
10
11
11
10
01
10
01
01
00
01
10
11
00
10
10
00
01
11
11
00
00
11
10
10
11
00
00
10
10
00
10
10
11
01
00
01
10
00
01
10
10
00
01
10
11
10
01
00
00
00
11
10
10
00
00
00
10
00
11
11
00
00
10
00
10
10
01
10
01
10
00
00
10
00
01
10
11
10
10
01
10
10
01
10
10
10
10
01
10
00
00
10
11
00
01
00
00
11
11
10
00
00
10
00
00
10
00
01
11
11
10
00
00
01
01
10
00
10
10
10
11
00
00
11
11
01
01
10
11
10
10
01
10
00
00
00
11
00
00
11
00
00
01
10
11
10
00
10
10
00
00
11
01
11
10
00
11
10
10
00
11
01
00
11
00
11
10
00
00
11
00
01
01
11
10
00
11
10
01
01
01
10
10
00
10
10
01
10
11
01
11
00
10
01
10
11
11
00
00
10
00
00
11
10
10
01
00
00
10
11
00
10
00
00
10
10
11
00
01
11
10
00
10
10
00
10
10
01
00
11
10
10
00
00
00
00
00
10
00
00
01
00
00
00
10
00
10
11
00
01
01
01
10
10
01
10
11
00
00
10
10
00
01
10
00
00
10
00
10
11
10
00
00
11
10
00
01
10
10
11
01
10
00
11
11
00
00
00
11
10
10
11
01
10
11
00
11
11
01
00
00
00
11
10
01
00
10
00
01
11
10
11
10
10
10
00
00
01
00
10
10
10
10
01
10
11
01
01
10
01
00
00
10
11
10
10
01
00
01
10
10
10
10
10
00
11
10
01
11
01
11
00
01
01
00
11
11
00
01
10
10
10
00
00
10
10
00
11
00
00
00
00
10
11
10
00
10
00
10
00
01
11
11
00
10
10
11
00
01
10
00
00
10
10
10
01
10
01
01
10
01
10
10
00
00
00
10
00
00
10
00
11
00
00
00
11
10
10
10
01
11
00
11
00
00
10
01
00
01
10
11
11
00
10
11
11
01
00
11
11
11
01
01
01
00
01
10
11
01
00
10
11
00
01
11
01
00
00
11
11
00
00
00
10
00
10
10
10
01
11
01
01
11
00
10
01
00
00
10
10
00
10
00
11
11
00
00
11
10
10
00
10
00
10
10
01
00
11
10
10
11
10
10
11
00
00
10
00
00
11
10
00
10
10
00
00
10
10
10
00
10
00
10
10
00
01
10
00
00
10
00
11
11
11
11
01
10
00
10
00
11
10
00
00
00
11
11
11
10
10
00
10
11
01
11
11
00
00
10
00
00
10
01
01
11
10
00
10
11
10
00
00
10
11
01
10
01
00
00
00
11
00
11
01
00
00
10
11
01
00
10
10
10
01
11
01
11
11
00
01
10
10
10
00
01
00
01
10
11
10
10
01
10
10
00
01
10
10
11
00
00
00
11
01
00
00
11
10
10
10
01
00
00
00
01
11
10
00
00
00
01
10
00
01
10
11
00
11
10
01
00
11
10
00
01
11
10
10
10
00
11
11
10
00
10
00
00
00
00
10
00
00
10
10
11
10
10
00
10
10
10
00
10
10
11
10
01
00
01
11
01
10
01
01
11
11
01
10
11
01
00
00
11
00
00
10
10
10
00
10
00
11
11
01
01
10
00
00
00
00
01
10
11
10
00
10
10
00
00
11
00
00
01
10
01
01
00
10
10
00
00
01
10
10
01
00
00
00
00
00
00
11
01
01
11
10
11
11
00
01
00
01
10
10
00
10
10
00
00
10
00
00
00
00
01
01
00
00
11
11
00
00
11
11
10
01
10
00
01
00
00
01
11
11
00
11
10
11
10
00
10
10
10
10
01
00
10
11
01
10
11
01
00
11
00
00
10
10
00
00
11
10
10
00
01
11
00
00
10
00
10
00
00
10
11
00
10
00
00
00
11
10
10
10
11
00
10
00
01
10
00
00
01
00
10
10
00
10
10
01
00
10
00
10
00
00
10
00
01
11
00
11
00
10
10
00
00
10
01
10
11
00
11
11
10
10
00
01
10
01
11
11
00
00
01
00
10
10
00
00
10
11
10
01
01
10
01
01
10
00
11
10
00
00
10
11
01
00
10
00
00
10
00
00
00
10
10
11
10
10
00
11
00
00
00
10
00
01
10
00
00
10
10
11
10
01
01
00
01
00
10
10
11
00
01
11
10
11
00
01
01
10
10
10
00
10
00
01
10
00
01
10
00
11
00
01
11
00
01
01
01
00
10
10
10
11
00
00
11
01
01
11
11
10
11
10
01
01
11
01
00
10
01
01
11
10
00
00
00
00
10
00
10
10
11
01
01
11
01
10
00
11
01
10
10
00
11
11
01
00
10
10
01
00
10
10
10
00
01
00
10
00
01
10
01
00
11
10
00
11
10
10
00
01
11
11
01
10
11
10
00
01
10
11
00
01
00
01
10
00
00
10
11
00
10
10
11
00
01
00
11
00
10
10
00
10
11
00
00
00
10
00
10
00
00
11
11
00
00
10
10
10
10
00
10
10
00
10
01
00
10
11
00
01
10
11
10
00
01
01
00
11
00
01
10
11
10
11
11
00
10
11
10
00
01
00
01
11
10
01
10
10
01
10
10
10
10
00
00
00
11
10
10
00
01
11
00
10
10
00
10
00
11
10
00
00
11
00
00
00
10
01
10
00
10
01
00
00
11
10
00
10
00
00
10
00
11
11
10
00
10
00
00
11
10
10
01
00
01
10
10
01
11
10
01
00
10
00
00
00
00
10
10
00
10
00
00
01
00
11
01
00
00
01
10
01
10
01
10
11
10
01
11
11
00
10
10
10
10
00
01
00
10
01
11
01
11
00
10
10
00
10
00
00
10
11
11
11
01
10
00
11
00
10
01
01
00
10
10
01
01
10
10
10
00
10
11
00
10
11
00
10
00
10
00
10
11
00
10
11
00
00
11
11
01
01
01
00
00
11
11
01
00
10
10
10
01
11
01
00
10
10
10
10
00
00
11
10
00
01
00
11
11
00
10
10
00
01
10
10
00
01
11
00
00
00
11
01
10
10
00
10
11
00
10
11
00
11
00
10
01
01
10
00
10
01
01
10
01
00
10
10
10
10
10
00
10
11
00
10
01
10
00
10
10
01
11
00
10
11
00
11
11
00
01
10
01
01
00
11
11
00
00
00
10
10
00
10
01
10
11
10
01
11
10
11
00
00
10
11
00
00
10
11
10
01
00
10
00
00
00
10
00
01
11
11
00
10
00
11
10
10
01
00
11
11
01
01
00
01
00
01
10
10
01
01
11
10
11
00
11
10
10
00
00
11
10
01
00
00
11
11
10
10
00
00
00
10
00
01
00
11
11
10
10
01
01
01
00
11
00
01
10
10
11
00
00
10
10
00
00
10
11
00
00
10
00
10
10
00
10
10
00
11
00
10
01
10
10
00
10
00
00
11
10
11
00
00
10
11
10
00
10
10
01
10
01
00
00
10
10
01
11
10
01
10
00
00
01
00
10
10
00
01
00
00
10
11
10
10
10
00
10
10
01
10
00
11
11
00
10
10
00
11
00
00
00
10
11
10
10
00
10
00
01
00
10
01
10
10
00
10
00
00
00
10
10
10
10
01
00
11
01
10
10
10
10
00
00
11
10
10
10
00
11
10
01
10
10
11
10
10
10
00
00
00
01
11
01
01
01
11
00
11
10
00
10
00
10
10
01
10
00
00
11
00
11
00
00
10
11
01
00
11
10
10
11
11
00
01
10
10
10
10
10
01
01
10
01
00
10
10
10
01
01
00
00
10
00
00
10
10
11
10
00
00
10
00
00
00
00
00
01
10
11
00
10
10
11
10
01
00
10
01
00
10
00
00
00
10
00
00
00
01
11
00
10
00
00
10
00
00
10
11
00
11
01
01
10
01
00
10
10
10
10
00
00
11
00
01
10
01
10
11
11
11
11
10
00
00
01
10
00
10
10
10
11
10
00
00
10
11
11
11
00
11
10
00
00
00
10
00
00
10
00
00
10
00
00
00
00
01
10
00
10
00
00
10
00
10
00
10
11
00
11
11
01
10
01
00
10
00
00
11
10
00
00
00
01
11
01
11
01
01
11
10
01
01
11
10
00
01
00
01
01
11
10
10
10
11
00
00
11
01
11
00
11
10
01
00
10
11
00
00
10
11
00
01
00
01
11
10
10
10
10
11
01
00
00
10
00
11
00
00
10
00
10
10
00
11
10
00
00
00
10
10
01
11
10
00
11
11
10
00
01
00
10
10
00
11
10
10
00
11
00
10
10
00
00
10
00
10
01
00
00
10
01
01
00
11
00
01
00
11
10
11
11
00
01
00
10
01
11
10
10
00
01
10
10
11
01
00
10
00
00
00
10
00
10
01
10
00
10
10
00
11
00
00
10
11
10
11
11
00
10
10
00
01
00
00
00
10
01
11
10
10
10
10
11
00
01
00
01
01
10
00
00
10
01
11
10
10
00
10
10
00
01
01
10
10
01
00
01
00
00
10
00
01
10
10
00
10
00
11
10
00
01
10
10
01
00
01
10
11
11
11
10
10
10
01
00
11
01
11
11
11
10
00
11
10
10
10
00
00
10
00
10
10
01
01
10
10
01
00
00
00
00
11
01
01
00
10
11
00
01
00
10
11
11
00
01
11
00
10
00
01
01
00
10
10
11
11
11
00
10
11
11
01
00
10
11
00
00
10
10
01
00
00
10
10
00
11
00
01
11
10
00
10
10
00
01
10
10
00
00
11
10
10
11
00
00
00
10
00
00
10
11
00
11
10
01
00
10
10
11
10
00
01
10
00
10
00
00
10
00
10
00
00
00
00
00
11
10
10
01
10
01
00
01
00
11
10
00
00
10
11
10
01
00
00
00
10
01
10
11
11
00
11
00
01
00
01
11
10
01
10
11
00
01
10
10
00
10
11
10
00
00
10
10
00
10
01
00
00
11
10
00
00
10
10
01
00
11
11
10
10
11
00
01
01
00
10
10
00
01
00
11
11
10
00
00
10
11
00
01
00
00
10
00
10
00
10
11
00
11
11
01
11
10
10
01
00
01
10
10
00
10
10
00
10
00
01
10
10
10
00
00
11
10
11
01
01
00
00
00
00
10
10
00
00
01
11
10
10
00
01
10
11
01
00
10
10
11
10
11
01
00
10
11
10
10
00
11
00
10
10
00
10
10
01
10
01
00
00
11
11
11
01
01
10
01
01
11
10
00
00
10
00
00
11
10
10
10
11
10
01
10
10
00
00
11
11
01
00
10
11
10
00
10
10
01
10
00
11
10
01
01
00
01
00
11
10
00
01
01
01
11
11
01
11
10
00
11
10
00
00
10
00
11
10
00
00
10
11
00
10
10
11
11
11
00
10
01
00
00
00
10
10
00
00
00
00
00
00
00
01
10
10
00
11
00
10
10
00
00
00
11
00
10
01
01
10
00
10
01
01
10
11
01
11
00
10
10
01
01
11
10
01
00
11
11
00
01
10
00
11
00
11
00
10
11
00
00
10
10
00
00
11
00
00
00
01
00
11
00
11
00
11
10
10
00
00
00
10
01
00
00
10
11
10
10
00
10
00
00
00
01
10
01
01
11
01
00
11
11
10
00
00
10
10
01
10
00
11
00
10
00
01
10
11
00
00
00
10
00
10
10
00
10
00
10
10
00
00
10
01
10
00
10
01
00
11
00
01
01
11
11
00
01
11
00
01
01
10
10
11
10
10
00
00
01
10
01
10
11
10
10
00
01
10
10
01
00
01
11
10
10
10
00
01
01
11
00
01
00
10
11
00
10
00
00
10
10
10
01
10
11
00
10
01
00
10
10
01
01
10
11
01
10
00
11
11
10
00
10
11
00
00
00
00
10
00
10
00
00
11
00
10
11
10
10
10
10
10
10
00
00
10
10
10
01
01
01
10
00
00
10
10
00
11
10
10
00
01
00
01
11
10
00
00
00
01
00
10
00
00
01
00
00
11
01
10
10
00
01
10
10
00
10
10
01
00
00
10
00
00
01
01
00
10
01
01
10
11
00
01
00
10
10
00
11
00
00
10
11
01
00
00
10
01
11
00
00
01
10
11
10
00
00
00
10
10
01
10
00
10
00
01
10
11
11
00
10
10
01
10
00
11
01
10
10
01
01
10
10
00
10
11
00
10
01
10
11
10
10
00
00
10
11
01
10
00
00
00
01
11
10
00
01
00
10
11
00
10
10
11
10
01
10
10
00
10
00
00
10
00
10
10
10
00
01
00
10
10
10
01
00
10
00
10
10
11
00
01
10
01
10
00
10
10
00
00
11
10
01
00
10
10
10
00
00
11
10
10
11
00
10
00
00
10
00
10
00
10
00
00
00
11
00
01
00
00
10
00
10
11
01
01
00
10
00
10
00
01
00
10
10
01
11
00
10
11
11
10
10
10
00
10
00
00
11
00
10
00
00
00
11
11
11
11
11
11
10
01
01
01
11
10
00
10
00
00
10
10
01
00
10
11
00
01
01
10
00
01
00
10
00
00
01
11
11
01
11
00
10
10
00
00
10
10
10
00
10
11
01
10
11
00
00
11
11
00
01
10
00
01
01
10
10
00
00
00
00
11
00
10
10
00
10
01
01
01
10
00
10
10
10
11
01
00
00
11
10
10
10
00
00
10
10
10
10
00
01
01
00
10
01
10
10
11
00
00
00
01
10
10
11
00
10
01
00
10
00
10
10
10
11
00
00
00
11
11
01
00
10
00
10
01
00
10
00
00
00
10
01
10
01
00
11
10
01
10
10
10
00
00
11
11
01
01
10
00
10
00
10
11
01
00
01
00
00
11
10
10
11
10
01
10
11
10
10
00
11
00
01
00
10
11
01
00
00
00
10
10
00
10
10
10
00
00
00
00
10
11
11
01
10
01
00
00
00
00
01
11
11
10
11
01
00
00
10
00
01
00
10
10
00
11
10
00
00
01
11
00
11
00
10
10
10
01
00
01
11
01
01
10
10
00
01
10
10
00
00
10
10
00
11
00
10
01
10
11
10
00
00
01
10
00
11
10
11
01
00
11
10
11
10
00
10
10
00
00
11
00
10
10
00
10
11
10
10
01
00
00
00
01
00
11
10
10
00
10
10
00
01
11
10
00
10
00
01
11
10
10
01
01
00
11
00
10
10
01
00
11
10
11
00
01
00
01
10
00
10
10
11
00
00
10
00
11
00
11
00
01
10
10
10
10
01
01
11
01
01
11
10
00
00
11
11
01
00
11
10
00
11
10
10
00
00
10
00
10
01
10
10
01
00
10
01
00
10
10
00
10
11
10
00
10
10
10
11
10
00
00
10
10
11
01
10
01
01
01
00
10
10
00
10
01
01
10
00
00
00
00
00
11
11
00
10
10
00
01
01
10
00
00
00
00
11
10
01
11
11
00
11
00
00
00
10
10
00
11
00
11
00
00
10
11
01
00
01
10
10
00
00
11
01
00
00
00
10
10
00
00
11
00
00
01
00
10
10
10
00
10
11
10
00
00
10
01
00
10
11
10
10
11
11
01
00
00
00
10
10
01
10
10
01
10
10
00
10
10
10
00
00
11
10
00
10
00
11
10
00
01
00
10
10
11
01
10
11
00
10
01
10
11
10
00
00
10
00
01
10
11
10
00
01
00
11
10
00
00
10
11
01
00
01
10
10
00
00
00
10
01
00
00
01
11
00
01
10
11
10
00
10
11
00
10
10
01
00
01
00
10
00
01
01
10
01
01
01
10
01
00
10
01
00
00
01
10
11
11
01
10
01
00
11
11
10
00
00
10
11
00
00
10
00
00
10
11
01
10
10
00
00
00
10
00
01
10
11
00
00
01
11
01
00
01
10
10
11
10
11
00
01
10
00
01
10
10
00
00
10
00
00
00
10
10
01
10
10
00
10
00
11
10
10
10
00
00
10
00
00
01
10
01
11
10
01
10
00
00
10
10
10
01
01
01
10
10
00
11
10
00
00
11
11
00
00
10
10
01
10
00
00
01
10
00
00
10
10
00
10
10
11
00
10
10
10
01
00
01
01
10
11
10
10
00
00
10
10
00
10
00
00
10
01
01
10
11
01
01
01
00
10
10
10
01
00
01
00
00
11
11
01
10
10
00
00
10
00
01
11
10
10
11
00
01
10
01
01
10
11
10
00
11
01
01
11
10
00
01
11
10
00
00
11
10
00
00
11
00
10
10
10
10
00
11
11
01
01
10
00
01
00
01
00
11
10
00
10
10
00
01
10
11
10
01
00
10
11
01
10
10
00
00
11
11
00
01
00
10
00
10
10
00
00
10
10
10
01
11
10
00
11
01
00
01
10
10
00
10
00
00
01
11
11
00
01
01
10
00
00
00
10
00
00
10
01
00
10
10
11
10
00
10
11
10
00
00
10
01
01
10
01
01
11
00
00
00
10
10
00
00
11
01
00
11
10
00
00
10
00
00
00
00
00
10
10
00
00
11
11
10
00
10
10
01
01
01
10
00
10
10
01
11
01
01
00
11
11
00
10
01
10
01
10
10
00
11
10
00
11
11
01
00
00
00
10
11
00
10
10
11
00
10
01
00
01
10
10
11
11
00
01
10
11
11
10
00
00
01
10
10
10
11
01
00
01
11
10
01
10
10
00
00
11
10
01
11
10
00
01
11
10
00
00
01
10
10
11
00
01
00
01
10
11
00
01
10
11
00
00
11
10
01
00
10
10
11
00
00
10
10
10
10
00
10
11
10
10
10
00
11
01
10
11
00
00
10
11
00
00
00
11
01
01
11
00
01
10
00
10
11
00
00
10
10
01
11
10
01
01
11
00
01
10
11
10
00
10
10
00
01
10
11
10
10
00
11
10
10
10
00
00
01
00
10
00
00
10
10
10
01
01
10
01
00
10
11
10
00
10
10
00
10
01
11
11
00
00
01
10
11
10
00
00
01
00
00
01
10
00
10
10
10
01
01
10
00
01
11
00
10
10
10
00
00
00
01
10
10
00
00
10
10
01
10
11
11
00
10
11
00
00
11
00
10
10
10
01
10
11
01
01
00
00
01
01
00
10
10
00
10
10
11
10
11
11
00
10
00
10
11
01
00
01
01
11
10
01
00
01
00
10
10
00
00
10
11
00
10
01
01
10
11
10
00
10
11
00
10
00
01
10
10
10
00
00
11
10
00
10
11
10
01
10
10
10
01
00
01
11
00
10
10
00
00
00
10
11
00
01
11
10
01
10
10
00
10
11
01
10
10
10
10
10
10
01
00
00
10
01
00
00
10
10
00
01
10
00
10
00
00
11
00
10
10
10
10
01
11
01
00
10
00
10
11
01
11
10
00
00
10
10
00
00
10
10
11
00
01
10
10
00
00
00
10
00
01
11
10
10
10
11
10
00
00
00
10
10
10
00
00
10
10
10
10
01
00
10
00
00
10
10
11
01
01
10
11
00
11
10
10
11
01
10
00
10
10
10
01
00
10
00
11
10
00
10
10
00
11
11
01
10
00
10
10
11
01
01
10
00
00
00
10
10
10
01
01
10
10
00
00
01
00
01
10
10
11
11
00
01
11
00
10
01
11
11
00
00
10
11
01
01
00
10
00
00
10
10
10
00
01
01
11
00
00
11
10
00
01
10
11
00
10
11
10
01
00
01
10
10
01
10
00
00
00
10
01
01
01
00
10
11
10
11
00
10
11
00
11
11
00
00
10
10
00
00
00
10
10
11
10
10
00
00
10
00
01
01
01
11
00
00
10
10
00
01
10
10
00
01
01
00
10
10
00
11
01
10
00
01
00
11
10
01
11
00
00
00
00
11
10
01
10
10
11
10
00
01
01
10
00
00
10
11
01
00
10
10
01
00
00
00
01
11
10
01
00
11
10
11
11
00
00
10
00
01
10
10
00
00
10
00
11
10
00
00
10
00
10
00
11
10
01
00
11
00
10
10
00
00
10
10
00
00
11
10
11
10
10
10
01
01
10
10
01
00
10
10
01
01
00
10
11
00
10
00
11
00
00
10
11
00
01
00
01
00
01
10
10
10
00
00
10
01
00
01
01
00
10
00
10
01
10
10
10
00
10
10
10
10
10
11
11
00
11
10
01
11
00
11
10
00
00
01
10
10
10
01
00
00
01
10
00
01
01
01
10
01
10
00
10
10
00
00
11
10
10
00
00
10
10
01
10
01
00
11
10
10
00
00
10
10
00
01
11
10
10
00
10
10
00
10
00
00
01
10
11
00
00
11
10
00
00
00
10
10
00
01
10
10
10
00
00
10
00
01
00
10
00
00
10
10
00
10
11
01
00
00
10
11
10
10
10
00
00
10
10
11
11
10
01
00
00
11
10
10
00
00
10
00
10
11
00
10
11
00
10
00
10
10
00
00
11
01
00
00
11
10
00
01
00
11
00
00
11
01
01
10
10
11
10
10
00
00
00
10
10
00
00
10
11
11
00
11
00
00
10
10
10
01
10
10
01
11
11
11
10
11
00
01
10
10
00
01
01
00
10
10
10
11
01
01
00
10
00
01
10
11
00
00
00
00
11
00
10
11
00
00
11
01
10
11
10
11
11
11
01
10
11
00
00
01
10
10
01
10
10
10
00
10
10
01
00
11
00
01
00
10
10
00
10
11
11
10
00
00
11
10
10
11
01
01
00
00
10
00
00
00
11
01
00
10
11
00
00
10
10
10
11
10
01
10
10
00
00
10
11
00
10
10
11
00
11
00
00
00
10
01
10
01
00
11
10
11
10
01
00
10
10
01
00
01
11
11
10
00
10
11
10
01
00
10
00
00
00
00
01
11
01
00
00
00
00
00
01
01
10
00
10
10
11
01
11
11
00
00
00
10
10
00
01
10
11
11
00
10
10
11
10
00
00
11
11
01
00
11
01
11
10
10
11
00
01
01
00
00
01
10
10
01
00
11
01
01
11
11
01
01
00
10
00
00
10
11
11
01
00
01
10
11
00
10
00
00
10
10
00
00
00
10
01
00
10
10
10
10
10
01
01
10
01
11
00
00
01
10
11
01
00
11
10
01
00
00
00
11
01
01
00
11
11
00
10
10
10
01
10
00
01
00
10
10
10
10
10
10
10
00
10
11
00
01
10
01
10
10
00
00
00
11
00
00
01
01
01
10
00
00
11
11
01
00
10
00
11
11
00
11
11
01
11
00
10
00
00
00
00
11
11
00
00
10
00
11
01
00
10
00
11
11
01
00
00
10
10
00
00
10
10
00
00
00
00
00
11
00
10
00
00
00
00
00
10
11
00
00
10
01
00
01
10
01
00
01
01
10
11
00
10
00
01
10
00
10
11
01
10
10
10
01
00
10
01
00
10
00
00
01
01
01
10
10
10
00
01
10
10
00
00
11
10
00
00
11
10
00
00
10
00
00
01
01
01
11
01
00
00
10
10
10
00
00
10
10
10
00
10
10
01
11
10
00
10
10
01
00
11
01
00
00
00
10
00
10
01
10
00
01
10
10
11
10
00
00
00
11
00
10
11
10
01
00
10
00
01
00
10
11
00
11
11
00
00
00
00
10
10
11
00
00
00
00
00
11
10
11
10
10
11
00
11
11
00
01
00
00
10
10
01
10
01
00
00
11
00
00
01
00
01
00
10
11
10
00
00
00
10
10
00
10
10
00
00
11
10
10
10
10
00
10
11
10
00
00
01
10
00
10
01
00
01
01
00
00
10
11
10
01
00
10
01
00
00
00
01
10
11
01
00
00
11
01
00
10
10
10
01
00
11
10
00
11
10
11
00
01
01
00
10
10
00
00
00
11
11
00
10
10
10
10
11
00
11
11
01
01
10
10
10
11
00
10
10
00
00
10
01
00
00
10
10
11
10
11
00
00
00
10
10
10
10
00
00
00
10
11
01
10
10
00
00
01
10
00
00
11
11
00
10
10
10
00
01
10
10
01
10
11
10
01
00
11
00
10
10
00
10
10
10
01
10
01
10
10
00
01
00
10
00
11
00
10
01
10
11
10
00
10
11
11
00
10
10
00
11
10
01
00
10
11
00
10
01
10
11
00
00
10
01
01
11
01
00
11
00
10
10
10
00
00
11
10
01
10
11
01
10
10
10
10
00
10
00
00
10
11
00
11
10
11
10
10
10
00
01
10
10
00
10
10
10
00
00
00
10
00
10
00
01
00
10
10
01
10
10
00
00
01
11
11
00
11
01
00
00
10
10
00
00
11
10
10
10
00
11
11
10
00
00
10
00
10
01
00
10
10
11
00
01
10
10
00
00
10
00
10
10
00
11
01
01
00
00
11
00
01
11
10
01
01
10
00
10
10
01
00
01
01
00
00
10
10
10
10
01
10
00
00
01
10
10
00
10
10
10
01
00
10
10
10
10
00
10
00
10
10
11
00
00
01
01
01
10
10
00
01
10
00
10
11
01
11
01
10
01
01
00
10
00
00
10
00
00
00
10
11
00
11
10
00
01
00
01
11
10
10
00
00
00
00
10
10
00
00
00
11
10
10
11
00
11
01
00
11
10
11
00
11
00
00
10
10
10
10
00
00
00
11
00
01
10
10
10
00
10
10
10
00
10
11
00
00
10
00
00
10
10
00
00
11
10
01
10
00
00
01
00
10
10
10
00
11
10
01
11
00
00
10
00
10
00
00
00
11
10
00
00
10
00
11
10
11
10
11
11
00
01
01
00
11
00
10
10
01
10
10
10
00
00
10
10
00
00
10
00
01
10
10
01
11
11
00
00
00
01
10
10
00
10
10
10
00
00
01
11
11
11
00
00
00
00
01
11
10
11
10
00
01
01
10
00
00
11
00
11
11
01
01
00
10
00
00
10
10
00
01
10
10
10
10
00
10
01
00
10
00
00
01
10
11
00
10
10
10
10
10
11
00
10
11
01
10
11
11
01
11
10
01
10
10
00
00
01
00
10
10
10
01
01
10
10
11
10
11
00
01
01
00
00
10
01
00
01
11
00
10
11
11
10
10
00
01
11
00
01
11
01
01
10
11
00
00
11
00
00
10
10
00
00
10
10
10
00
01
10
10
10
11
10
11
10
00
11
01
00
10
10
10
11
00
11
01
01
00
01
01
00
10
10
10
01
00
10
01
00
11
10
00
10
10
00
10
01
00
00
11
01
11
01
01
11
10
01
00
10
10
00
01
11
10
01
01
10
11
00
10
10
00
00
11
00
00
11
10
00
00
00
00
10
10
01
01
00
10
10
00
01
01
11
00
10
11
00
10
10
00
00
00
00
00
10
00
10
00
10
00
10
10
11
01
00
10
00
10
00
10
10
01
10
00
00
01
00
00
00
10
00
00
00
00
01
11
10
10
11
10
11
01
00
10
01
10
01
10
10
00
10
10
10
00
00
00
00
10
01
11
10
11
10
11
11
01
11
10
10
01
10
10
00
11
10
11
00
01
10
10
10
01
10
11
10
00
01
11
11
10
10
01
00
01
10
10
01
00
01
00
10
10
10
01
11
10
01
00
00
00
11
11
00
01
01
00
11
01
10
10
10
00
00
11
11
01
10
00
10
10
01
01
11
00
01
10
01
10
10
01
00
00
10
10
00
11
01
00
00
10
10
11
01
00
10
10
00
01
10
00
00
00
01
10
00
10
11
00
11
10
00
00
01
10
10
11
00
11
11
11
00
11
11
11
10
00
00
00
01
10
10
01
10
10
10
11
00
10
01
10
11
10
00
00
01
10
10
00
10
01
01
10
10
11
00
10
00
11
00
11
00
00
10
01
00
01
10
01
00
11
01
11
10
00
01
10
00
10
01
00
10
01
11
00
10
01
11
11
00
00
01
00
01
01
00
10
10
00
00
10
10
00
11
10
10
11
11
00
11
00
01
00
10
11
00
11
00
10
10
01
10
00
11
01
01
10
11
10
00
10
00
11
10
00
00
10
11
11
00
10
11
11
11
00
01
01
10
11
10
00
01
01
11
10
01
10
00
00
10
10
00
01
10
10
00
00
00
10
00
00
10
10
00
00
11
11
00
00
01
10
11
00
01
00
10
11
01
00
11
01
00
10
10
10
10
00
00
10
11
00
00
10
11
10
00
11
00
00
10
10
11
10
11
10
10
10
00
10
00
10
11
11
00
10
10
00
00
11
00
11
10
11
10
00
10
10
01
00
00
01
10
10
10
01
10
01
10
01
01
00
00
10
10
01
00
00
10
10
10
10
10
00
01
10
11
00
10
11
00
11
01
11
11
10
00
00
00
10
11
00
00
11
10
00
11
01
10
10
01
10
01
00
10
00
11
10
00
00
10
01
11
10
11
00
11
00
10
01
10
10
00
10
10
00
00
00
01
01
11
11
00
10
00
10
00
11
10
01
10
10
00
10
10
01
10
10
10
01
00
01
00
00
00
10
01
10
10
00
00
11
00
00
11
10
01
00
10
00
00
01
10
11
00
00
10
11
10
00
00
00
11
10
11
10
01
00
10
01
11
10
00
01
10
00
01
00
10
11
01
01
00
10
11
11
11
00
01
11
10
00
00
00
00
00
11
00
10
00
00
00
00
10
10
00
11
00
11
00
10
10
00
00
00
00
10
01
10
10
00
01
00
10
01
11
11
01
01
10
01
10
00
01
11
10
01
10
11
11
01
00
01
10
11
11
00
00
10
10
01
11
10
10
10
00
00
00
10
10
00
00
11
00
11
11
00
10
10
10
01
10
10
11
10
10
10
00
00
00
11
00
10
10
11
10
10
00
11
11
01
11
10
10
00
00
01
10
10
11
00
10
00
10
00
00
00
00
01
00
10
10
01
00
10
00
01
10
00
11
10
00
11
00
10
00
00
01
11
01
10
11
01
01
10
01
00
11
11
11
10
00
00
11
10
00
00
00
11
11
11
10
10
01
00
10
10
11
01
00
10
01
00
10
01
11
10
11
00
00
11
10
00
01
00
11
10
10
10
10
00
00
11
10
00
00
01
00
10
00
01
10
00
10
00
10
00
11
10
10
00
10
10
00
10
10
01
00
10
00
00
00
11
00
10
10
10
11
10
11
00
10
11
10
10
00
11
10
00
10
01
01
10
00
10
10
11
11
10
00
01
10
10
00
01
01
11
01
10
01
00
00
00
10
00
11
10
00
01
10
10
00
00
11
10
10
01
11
11
10
10
01
11
10
00
10
10
01
01
11
00
11
00
11
10
00
01
10
11
10
11
00
10
10
00
10
10
00
00
10
00
01
10
00
01
10
01
01
00
11
01
10
01
00
00
01
11
10
10
01
01
00
11
10
10
11
00
11
01
10
11
10
11
01
10
10
10
00
00
10
10
00
00
10
10
10
00
10
01
10
00
10
00
10
00
00
00
10
10
00
10
10
11
11
00
00
10
10
00
01
00
10
11
00
10
00
00
10
00
00
10
00
01
11
10
00
00
10
11
00
01
01
10
00
00
00
00
00
00
00
10
10
01
00
11
10
00
10
11
00
00
00
10
10
00
11
00
00
11
00
00
10
00
10
00
10
10
10
10
10
01
00
11
10
00
01
10
01
01
10
11
00
01
11
00
01
10
10
10
00
01
10
10
10
10
00
01
01
10
00
00
10
01
10
01
01
10
10
00
10
10
10
10
10
00
10
10
00
00
00
10
11
01
00
00
10
01
00
10
10
01
01
10
10
00
11
10
01
10
10
11
00
11
10
00
00
10
11
00
11
11
01
00
00
01
10
00
01
11
00
00
01
01
00
10
11
10
00
00
10
01
00
01
10
10
00
10
00
01
01
10
10
11
10
10
10
10
10
00
11
00
00
11
10
10
00
01
01
00
11
11
00
00
00
10
00
00
10
00
10
00
11
10
00
01
10
10
00
10
10
10
10
11
11
10
01
01
11
10
01
00
10
01
01
11
00
10
11
11
01
00
11
00
10
10
00
01
10
10
00
11
11
00
11
10
10
10
00
01
00
10
10
01
01
10
00
00
11
10
11
10
00
00
00
10
01
10
11
11
00
00
10
00
00
01
10
10
11
00
01
00
10
10
10
01
00
10
00
00
11
11
00
00
10
10
00
11
00
10
10
00
00
11
00
00
00
11
10
01
00
00
01
10
01
10
10
10
11
01
11
10
01
00
10
01
11
01
11
01
00
00
00
11
10
00
00
10
01
10
10
00
00
10
11
10
10
11
00
01
00
10
01
10
10
00
11
11
11
00
11
10
10
00
10
10
00
00
10
11
10
00
01
10
11
10
00
10
01
10
11
10
00
10
10
00
01
00
11
01
10
11
00
01
10
00
00
10
10
00
01
10
01
01
10
00
01
00
00
01
11
10
00
01
11
11
10
01
10
11
10
00
11
10
01
10
11
00
01
10
01
11
00
10
10
10
00
10
11
11
00
11
11
10
10
01
10
10
11
00
00
00
00
11
11
10
10
10
11
10
00
11
00
01
11
00
10
00
10
00
00
10
10
01
10
11
00
11
10
00
10
10
01
00
00
00
01
11
10
10
00
10
01
01
10
01
10
00
10
10
00
10
10
00
00
01
10
10
00
00
10
10
00
10
00
00
00
10
01
00
10
10
11
01
00
10
00
11
00
00
10
10
10
10
10
01
00
10
01
10
11
01
10
00
10
11
00
00
10
00
10
00
10
11
10
01
10
10
10
00
11
11
10
10
01
10
10
11
10
01
01
00
10
10
10
00
01
11
00
00
01
10
11
00
11
00
11
10
10
11
01
11
10
11
00
01
00
01
00
10
10
01
10
11
10
00
00
11
10
00
11
10
11
01
01
11
00
10
11
01
01
10
00
00
10
10
10
00
11
01
00
00
00
00
11
10
10
11
10
00
11
00
01
00
01
10
00
10
01
00
10
01
00
10
00
00
00
10
10
11
10
10
11
10
00
10
00
00
10
10
00
10
11
00
10
00
00
10
00
01
00
01
11
00
00
10
01
01
00
11
10
00
10
00
01
10
00
00
00
00
01
10
00
01
00
11
00
10
01
00
00
11
11
00
01
10
10
00
00
11
00
01
11
00
01
11
00
00
00
10
11
00
01
00
00
10
11
10
01
00
10
10
00
00
11
11
00
10
00
11
11
10
00
10
10
10
11
01
01
00
10
10
10
10
00
00
00
01
01
00
00
10
01
01
01
00
10
11
01
10
11
00
01
00
10
00
10
00
10
11
01
01
10
10
10
10
00
00
10
10
10
11
00
10
10
10
10
11
00
00
00
00
10
00
00
11
01
01
00
10
10
11
11
00
11
10
11
10
10
00
00
10
10
10
01
00
10
00
10
11
01
10
00
00
00
00
00
11
00
00
10
11
11
01
01
01
00
10
10
00
00
10
11
00
01
01
00
00
00
10
11
10
01
10
01
10
00
00
10
10
00
01
10
10
01
00
10
10
00
10
01
10
11
01
00
10
00
00
10
00
10
10
10
00
11
10
10
01
01
01
01
00
10
01
00
11
10
01
10
10
00
10
01
00
10
00
11
00
11
00
01
11
10
01
00
11
10
11
00
00
10
10
10
01
10
10
10
01
01
00
01
00
10
10
00
01
10
10
01
10
01
11
11
10
00
11
00
10
00
01
10
00
01
00
00
00
10
00
00
00
00
00
10
00
11
11
01
10
11
10
10
00
10
11
10
01
00
01
00
11
00
10
00
00
11
00
00
00
00
10
10
10
11
01
00
01
11
11
10
01
01
10
00
01
11
11
01
11
10
11
00
01
11
10
00
10
00
10
11
00
00
01
11
11
10
11
00
10
11
11
10
01
00
11
10
01
11
10
01
00
10
10
00
00
11
11
00
10
00
11
10
11
10
01
00
10
00
11
11
00
00
10
10
00
10
00
00
01
11
10
11
11
00
10
10
00
10
10
00
00
11
00
00
01
10
00
10
11
11
00
01
10
10
10
11
00
10
10
00
00
11
10
10
00
10
00
01
11
00
10
10
00
11
10
10
01
11
00
00
00
10
00
00
00
01
11
11
10
01
00
11
10
00
00
10
10
01
00
10
00
10
00
10
00
00
11
10
11
10
01
00
00
00
10
01
00
10
10
11
10
10
00
00
01
11
00
10
10
01
00
01
11
00
01
10
10
01
10
10
10
10
10
00
01
01
10
10
01
00
10
00
11
11
10
10
11
10
00
10
00
11
00
01
10
10
01
01
00
10
11
00
11
10
00
00
01
10
11
00
01
00
10
01
00
00
00
11
10
00
10
11
00
11
10
00
01
01
01
00
10
10
11
11
00
01
10
11
00
00
00
00
11
11
00
01
11
11
00
10
10
10
10
00
00
10
10
00
10
01
11
00
10
10
11
10
11
00
00
10
00
10
10
10
00
10
10
01
00
01
01
10
00
00
01
10
10
00
10
00
11
10
00
00
01
00
11
00
01
00
00
10
10
10
10
10
01
00
10
10
00
11
00
00
10
10
00
11
00
11
10
11
00
01
01
01
11
11
11
01
01
00
10
00
00
11
11
10
10
10
01
10
11
10
10
11
00
00
11
10
00
10
01
00
11
00
10
00
01
10
11
00
00
10
00
11
10
00
00
11
10
01
00
11
10
11
00
11
01
00
11
10
00
00
10
00
01
10
10
00
00
10
11
10
10
00
10
11
00
01
10
00
01
00
00
10
00
00
11
00
00
10
00
00
11
11
10
11
00
01
01
00
11
00
10
01
11
10
00
00
00
11
00
10
10
10
00
11
10
11
10
11
00
00
00
00
11
10
11
01
10
11
10
10
11
00
10
11
01
00
11
00
00
10
10
01
10
01
01
11
00
10
10
00
10
10
10
00
00
00
10
00
00
10
10
10
00
11
10
10
11
10
10
00
00
10
01
10
00
10
00
10
00
00
11
10
01
10
11
00
01
10
00
10
00
10
10
10
01
10
00
10
00
00
11
01
01
10
00
00
10
11
10
11
11
00
11
11
00
10
01
00
01
11
10
11
10
01
00
10
10
11
10
00
01
11
01
11
11
10
00
00
10
11
00
00
11
01
00
00
10
10
10
00
00
01
00
11
10
11
01
00
10
10
10
10
10
00
11
10
11
00
00
10
00
01
01
00
11
10
11
01
00
01
11
01
10
11
01
10
10
00
00
01
10
10
10
00
01
00
11
11
10
00
00
10
10
00
10
00
10
00
01
00
11
01
00
00
00
11
10
10
10
01
00
00
10
10
11
01
00
00
10
11
00
10
10
01
00
11
10
01
01
00
00
10
10
00
01
01
00
10
10
11
11
01
01
11
01
00
11
00
01
10
10
00
10
00
01
10
10
11
10
00
10
11
00
01
01
10
00
00
10
11
01
00
10
00
10
10
00
11
01
10
11
00
01
00
00
00
11
10
00
10
10
01
01
00
01
01
10
01
00
10
01
01
10
00
11
11
10
11
00
00
00
11
10
00
10
11
01
01
01
10
01
00
10
11
00
01
01
01
11
10
00
00
10
01
11
10
00
11
11
00
10
10
10
00
00
11
01
01
10
00
10
00
10
10
00
01
00
01
10
10
00
00
10
10
11
00
00
11
11
11
01
10
10
11
00
11
00
00
00
10
10
00
01
11
10
10
11
10
10
00
00
10
11
00
00
10
10
10
10
00
10
00
00
10
10
00
10
11
10
00
00
00
11
10
11
10
10
00
10
01
00
00
10
10
10
10
00
10
01
01
10
11
11
00
00
10
01
00
00
10
11
10
00
00
10
00
00
00
11
00
10
01
00
11
10
01
00
00
10
00
00
11
10
10
00
00
10
01
10
00
01
10
01
00
11
11
00
10
10
00
01
00
11
11
00
01
11
01
00
00
10
00
11
10
00
00
11
01
01
10
10
00
00
11
10
10
01
01
10
00
01
10
01
00
10
10
00
00
10
00
01
00
10
11
11
01
00
00
10
10
01
01
11
00
11
00
00
10
00
01
10
11
10
00
00
10
00
10
01
00
01
10
01
00
10
10
10
10
01
00
00
10
10
00
10
10
01
00
00
10
10
10
00
01
10
10
00
00
11
00
01
00
01
10
10
10
00
10
10
00
01
00
01
00
10
10
10
01
01
10
10
11
01
10
11
01
00
11
01
10
11
11
10
00
00
01
10
00
10
01
01
00
01
00
01
10
00
00
10
10
00
10
01
11
11
10
10
10
10
10
00
10
10
10
10
00
01
01
00
11
10
00
00
00
00
01
10
11
10
00
00
00
00
00
11
10
00
00
01
10
10
00
10
10
00
00
01
10
10
00
01
11
00
11
10
00
01
11
11
00
00
11
00
00
10
11
00
10
00
10
00
11
11
00
01
00
10
10
11
11
10
10
10
10
01
00
00
00
00
01
10
10
11
00
00
10
00
10
10
01
00
10
10
01
10
10
10
01
01
00
01
00
11
00
00
00
00
11
10
10
00
01
00
10
00
00
01
10
01
00
00
00
00
11
10
00
10
10
10
00
00
11
01
10
10
10
11
00
00
00
01
00
11
00
00
11
00
10
00
11
10
00
00
10
11
01
11
01
10
10
10
10
00
10
11
10
10
10
10
00
00
00
10
01
00
11
10
01
01
01
01
10
11
00
00
01
10
10
10
00
00
11
10
11
11
01
11
01
10
00
10
10
00
00
01
00
10
00
11
00
00
10
10
01
11
11
00
01
10
10
10
00
10
00
00
10
10
00
11
10
00
00
10
01
10
01
10
10
10
10
10
10
01
00
10
00
01
10
11
00
01
10
11
00
10
11
00
10
11
10
00
01
11
11
01
11
10
00
00
00
00
00
10
10
11
00
10
00
00
00
10
00
01
10
10
00
01
10
10
10
11
00
10
00
00
01
00
10
01
10
10
10
01
11
00
10
11
00
10
00
00
00
00
10
10
11
00
01
10
10
11
10
10
10
00
00
00
10
00
00
01
01
01
00
10
00
10
01
00
10
10
00
01
10
01
00
11
10
00
11
10
10
00
01
11
00
00
11
10
01
10
01
00
01
00
11
11
11
01
01
10
10
10
00
01
01
10
10
10
10
11
11
01
10
10
00
00
10
00
00
10
11
00
10
00
10
10
00
00
00
00
00
00
11
01
10
10
00
10
10
10
00
11
10
01
11
01
10
11
00
00
01
11
11
11
00
01
10
11
01
10
10
00
00
10
00
00
10
00
00
10
10
00
10
00
11
11
00
01
11
01
10
10
00
00
10
10
01
10
10
11
11
10
00
01
10
11
00
00
10
01
10
11
01
00
00
11
11
11
01
10
10
11
10
00
00
11
01
00
00
00
10
00
00
10
01
10
01
11
00
10
00
01
11
11
10
01
10
00
01
10
10
00
10
10
10
11
01
01
10
10
10
10
00
10
10
00
10
00
10
00
10
00
00
00
01
10
01
10
00
00
10
00
00
01
10
10
00
00
01
11
01
10
10
00
01
10
01
11
11
01
11
00
01
00
11
11
00
01
10
11
00
01
10
11
00
01
01
01
01
00
00
10
10
01
10
00
00
01
00
10
00
11
10
10
11
00
01
00
00
11
00
00
10
10
11
10
10
00
01
01
00
01
00
01
11
11
11
00
00
10
01
10
11
00
00
00
00
11
00
11
10
11
11
00
10
10
11
00
01
10
10
10
10
00
10
10
01
00
10
11
00
00
10
10
10
00
00
01
00
00
10
01
10
10
01
00
01
11
10
01
00
01
00
11
10
01
10
11
11
00
01
10
11
01
11
10
00
00
10
11
00
00
00
00
10
10
10
10
01
00
01
10
10
00
11
00
00
00
10
10
01
11
00
10
11
11
11
10
00
00
10
10
00
00
10
00
11
10
11
11
00
00
10
10
00
10
00
01
10
10
10
01
10
11
01
10
01
00
10
00
00
10
01
00
11
01
00
11
01
00
00
10
10
01
01
01
10
00
00
11
00
11
11
00
10
10
00
00
11
10
00
00
11
10
00
00
00
10
10
11
00
11
11
01
11
00
00
00
10
10
00
10
11
10
00
10
00
10
00
01
10
10
11
10
10
00
00
00
11
00
01
10
00
00
00
00
00
10
10
11
10
11
10
00
01
01
10
01
01
01
10
10
10
11
00
10
00
01
00
00
01
10
00
10
10
01
00
10
11
10
01
11
00
01
00
10
10
00
10
00
01
11
10
11
00
10
00
10
10
00
01
01
10
01
01
11
01
10
01
11
10
11
10
01
00
10
00
10
10
00
11
10
01
01
00
00
10
00
10
11
10
10
00
00
10
00
01
10
01
00
00
10
11
00
00
00
10
11
11
11
00
10
00
10
11
00
11
10
01
10
01
00
10
00
01
11
01
10
10
10
11
01
11
10
10
11
00
00
00
00
10
11
00
01
10
11
01
10
10
01
00
00
00
01
00
01
10
10
10
00
01
11
10
01
10
00
10
11
10
00
00
10
00
00
00
10
00
01
01
00
11
10
11
10
10
11
00
01
10
11
01
11
00
10
11
01
10
10
10
01
01
10
11
01
00
11
00
00
11
11
01
01
00
10
10
00
00
00
11
11
00
00
01
10
00
10
10
00
00
11
11
11
11
00
11
00
10
11
00
00
10
00
01
10
00
01
11
10
10
00
11
00
10
10
00
10
11
00
10
10
10
00
10
01
10
00
00
10
01
00
00
10
10
01
10
10
00
01
11
11
10
11
00
00
00
00
10
10
00
01
00
01
10
00
10
10
10
01
10
01
00
11
00
10
10
10
11
01
11
11
01
00
10
01
01
00
10
11
00
01
01
00
11
10
00
11
10
10
00
00
10
01
10
01
00
01
00
00
00
00
00
10
01
01
00
10
11
10
00
00
10
10
01
00
01
00
00
10
00
00
00
00
10
00
10
01
01
11
00
00
10
10
01
00
11
11
00
00
11
01
10
11
00
10
10
01
00
10
01
00
10
10
00
00
10
00
10
00
00
10
10
00
10
10
01
00
01
11
00
10
01
00
10
11
11
11
01
00
01
01
00
01
11
10
01
00
00
10
11
00
10
10
10
00
00
10
00
10
11
00
11
10
10
10
00
00
10
00
00
01
10
00
01
10
00
11
01
10
01
10
10
10
11
01
11
01
10
11
00
11
00
00
10
10
00
10
10
10
10
00
00
00
00
00
01
10
10
01
10
10
01
00
00
10
10
10
11
00
10
01
00
01
10
01
10
01
01
00
00
11
10
01
01
10
00
11
00
00
10
10
11
00
00
10
10
00
00
10
01
00
00
00
00
00
10
10
01
10
11
01
00
10
00
00
01
10
10
01
10
01
10
01
00
01
01
10
01
00
00
11
10
01
10
00
01
01
10
00
11
11
01
00
10
01
10
00
00
10
01
10
00
11
11
00
00
00
00
00
00
00
10
11
00
01
00
10
01
10
01
10
10
00
10
11
10
00
00
11
00
10
00
11
10
10
00
10
00
10
00
00
01
01
00
10
10
00
01
11
10
00
11
01
01
11
01
01
11
01
00
11
10
01
11
10
00
10
01
00
00
10
10
00
10
01
00
11
10
00
01
10
11
10
11
00
11
10
11
11
00
11
10
01
00
00
10
10
00
00
00
01
10
11
00
01
10
00
10
10
00
10
00
00
01
10
01
00
10
10
10
10
00
01
10
10
00
00
00
01
10
11
10
01
01
01
01
00
11
11
00
01
10
10
00
10
00
00
00
10
10
11
01
10
00
00
00
01
10
11
00
01
10
01
11
10
11
00
00
00
11
10
10
00
00
11
10
11
00
00
10
01
10
10
00
00
01
01
11
10
11
11
00
10
11
01
00
11
10
10
10
10
00
00
10
10
00
10
00
10
00
00
11
10
00
10
01
00
00
10
10
11
01
01
10
00
00
11
10
01
00
00
10
11
00
00
10
10
11
10
00
10
10
10
01
00
10
10
00
00
11
10
01
10
10
00
01
00
11
00
11
00
01
10
10
00
01
00
00
10
11
10
00
10
10
00
01
00
10
00
11
00
00
11
10
01
10
10
00
10
10
00
11
00
11
10
11
00
10
10
00
10
00
11
10
00
01
10
10
11
00
00
10
00
00
10
01
10
00
01
11
10
10
01
00
00
00
11
10
00
00
10
10
10
10
00
00
00
01
10
00
11
00
00
10
00
00
10
10
00
00
00
01
11
10
10
01
00
01
00
00
10
10
10
11
01
00
01
11
01
01
00
10
10
10
01
00
10
11
00
01
01
01
11
01
00
10
00
10
00
00
10
11
00
11
00
11
01
01
11
11
10
00
01
10
10
00
01
00
01
10
10
11
10
10
10
10
00
00
00
11
10
00
00
10
11
11
01
01
01
10
01
10
10
10
10
00
00
10
00
10
10
10
10
10
00
01
00
11
00
00
10
00
00
00
00
11
11
10
11
10
00
11
11
00
01
00
10
10
10
10
10
00
01
11
11
00
10
01
00
10
10
10
00
11
11
00
10
11
01
00
00
00
01
11
01
11
10
00
10
01
01
01
11
00
11
11
00
10
00
00
10
00
01
10
01
11
11
11
00
10
00
00
10
01
11
00
00
01
11
00
10
10
10
10
00
00
10
10
01
10
00
10
10
00
10
00
00
11
10
00
10
00
11
01
01
10
11
10
11
11
01
10
11
00
01
10
11
01
00
01
10
10
01
11
10
11
11
01
00
10
10
00
11
00
01
10
00
10
11
10
00
11
00
01
00
00
10
10
10
00
00
00
00
00
00
00
10
11
00
01
10
11
10
01
00
10
11
00
10
10
01
00
00
10
11
00
00
00
00
10
01
01
11
10
00
00
10
01
01
00
01
00
10
00
11
00
00
00
10
10
00
00
10
10
00
01
00
00
10
01
01
10
11
11
10
01
01
00
00
00
10
10
10
00
00
11
00
00
00
01
00
00
10
00
00
11
10
10
00
10
10
10
00
10
10
00
00
11
10
00
01
00
00
11
00
10
00
11
01
01
01
11
00
01
00
10
10
10
10
10
00
01
10
01
10
01
11
01
01
10
11
00
01
11
00
11
10
00
00
10
00
11
10
01
00
10
10
11
10
00
01
10
11
01
10
11
01
10
10
01
10
10
01
00
01
10
10
00
11
00
10
11
00
10
00
00
00
00
11
11
00
11
11
00
11
00
00
10
11
10
10
01
00
11
00
00
00
10
10
10
10
01
10
10
10
11
10
01
01
00
10
10
00
00
01
10
01
11
11
01
10
01
00
10
11
10
11
10
11
00
00
00
10
11
00
10
01
00
11
00
00
00
10
00
01
11
10
10
10
10
11
11
00
10
11
11
10
00
11
00
00
10
00
01
00
01
10
11
11
10
01
11
11
11
01
00
00
00
11
00
10
10
11
10
01
10
00
00
00
01
01
01
10
01
01
00
11
11
00
00
00
10
00
00
10
11
00
10
00
01
10
11
11
10
00
11
10
00
10
10
00
00
10
11
01
10
11
00
00
11
00
00
11
01
10
11
00
00
11
10
00
00
11
00
11
11
00
10
10
00
10
10
00
00
10
00
10
01
11
10
11
10
01
00
10
11
11
01
10
00
01
11
00
01
10
00
11
00
00
00
01
11
01
01
01
10
10
10
10
11
01
00
10
10
00
11
01
10
00
11
10
01
01
10
00
10
00
01
10
11
10
00
01
10
00
00
10
10
10
00
10
11
00
00
10
10
10
10
01
10
01
10
11
10
10
01
10
10
00
00
11
10
00
10
10
00
10
01
00
01
11
10
10
10
00
11
00
00
10
11
00
10
11
00
01
00
10
01
11
00
10
11
01
01
11
10
00
01
10
10
00
01
10
11
00
00
10
00
00
10
11
00
01
00
11
10
00
00
00
10
11
11
10
01
00
00
10
01
01
10
10
00
00
10
11
01
00
00
10
00
11
11
00
01
10
10
10
01
00
10
11
01
11
00
01
01
10
10
00
10
10
10
00
00
00
10
10
01
00
11
11
11
10
10
10
01
10
10
00
00
10
10
00
10
10
11
11
00
10
10
00
10
00
10
00
00
01
00
00
00
10
11
01
10
00
10
10
10
01
00
11
01
01
10
10
10
01
01
11
01
01
11
11
01
10
10
01
00
11
10
10
01
00
00
10
10
01
00
10
01
01
00
00
10
10
00
01
00
11
01
00
10
10
00
00
00
10
00
00
10
10
10
01
01
00
11
10
00
10
10
00
01
01
11
00
00
10
10
00
00
10
01
10
10
11
01
00
10
00
00
10
11
10
01
10
11
01
10
10
00
00
11
10
00
10
00
01
11
00
10
00
10
11
10
01
01
11
10
10
01
01
00
11
01
01
00
11
11
00
00
10
00
10
01
00
11
01
11
10
11
00
10
01
00
10
11
11
10
00
00
10
00
00
11
10
11
10
00
00
11
11
00
01
01
10
11
10
10
10
10
00
11
11
00
01
01
10
01
11
00
10
11
11
01
00
00
01
10
10
00
10
00
11
11
01
10
10
00
10
00
01
00
11
10
01
10
01
00
10
10
00
00
10
10
01
10
00
00
10
10
00
11
10
10
00
11
00
10
00
01
11
11
00
10
10
00
00
10
01
00
11
00
10
10
00
10
10
00
00
10
01
10
00
00
10
00
10
11
11
10
00
00
00
00
10
11
01
00
01
10
10
10
01
10
00
10
00
00
11
10
10
01
10
11
00
00
00
11
00
00
00
11
00
01
11
10
00
10
01
00
11
10
00
00
00
11
10
10
01
00
00
00
11
10
11
10
10
10
00
00
10
00
00
10
00
11
10
10
10
00
11
10
00
10
11
00
10
10
11
10
00
11
10
00
00
10
00
00
10
10
01
00
11
11
00
01
10
10
10
00
00
00
10
10
01
10
11
11
10
01
01
01
10
11
01
10
10
01
00
10
00
01
10
10
00
11
01
10
10
10
01
01
11
10
00
01
00
00
10
11
10
00
00
11
10
10
11
00
00
10
10
10
11
10
00
10
00
00
00
10
10
10
00
11
11
00
00
10
11
11
01
10
01
00
11
11
11
00
10
10
01
10
11
01
11
00
10
10
00
10
11
10
10
00
10
01
10
10
01
10
11
10
01
01
00
11
11
11
00
10
00
00
11
10
11
10
01
11
00
10
00
10
10
00
00
01
10
10
10
01
10
00
00
10
01
01
11
10
01
11
10
01
01
10
11
11
00
00
10
00
10
10
00
11
11
10
01
01
10
11
00
10
10
00
00
11
10
01
10
11
10
11
00
00
00
10
10
00
00
11
11
10
00
11
00
11
10
00
00
00
00
11
00
00
01
10
01
00
10
11
10
10
10
01
00
10
10
10
00
10
11
00
10
10
10
00
10
10
00
01
11
11
11
00
00
10
00
10
10
11
00
11
11
01
01
01
01
10
11
01
00
11
10
00
00
10
10
11
00
10
01
00
11
10
10
01
00
10
10
00
00
10
00
00
11
10
01
11
10
10
10
00
00
10
01
00
10
10
11
10
11
11
11
10
00
00
10
00
00
01
01
10
01
10
01
11
00
01
10
00
00
10
10
10
01
00
10
00
00
11
10
01
10
01
11
10
00
00
10
00
00
10
11
11
00
00
00
11
11
00
01
00
00
00
00
10
10
00
00
00
01
10
11
10
00
01
11
11
00
00
10
00
10
10
01
00
10
10
01
10
10
01
00
00
00
00
10
10
10
10
10
10
10
10
10
10
11
00
10
00
10
10
00
00
10
00
10
10
00
00
01
10
10
00
00
00
10
10
10
01
10
10
10
00
10
10
01
00
11
00
00
10
11
00
00
10
00
01
10
10
01
10
11
00
01
11
00
00
11
11
10
01
00
10
11
00
10
01
00
11
11
10
11
00
00
01
11
11
00
11
10
01
00
00
11
01
00
10
10
00
00
11
01
10
10
10
10
10
10
01
00
01
00
01
00
10
10
01
00
11
10
00
01
10
10
00
00
11
00
00
00
10
10
00
00
10
01
10
10
00
10
10
00
00
10
10
11
11
11
00
00
01
11
01
00
00
11
10
00
10
00
11
11
10
11
10
00
01
01
10
10
10
00
10
10
00
00
00
11
11
01
11
10
00
00
00
11
11
01
10
00
00
11
00
00
10
11
11
10
11
00
00
11
01
00
00
10
11
00
00
10
10
10
00
01
01
10
11
01
10
00
00
01
10
10
10
10
10
00
11
10
01
00
10
00
10
00
10
10
01
00
10
00
10
00
10
01
00
00
10
01
10
10
00
00
00
00
11
10
01
00
01
00
11
11
00
00
01
01
10
11
01
10
10
10
00
01
10
11
11
11
00
11
11
11
00
00
10
11
00
00
01
10
00
00
00
10
00
01
11
01
00
01
01
01
00
11
11
00
01
10
00
10
01
11
11
00
01
11
10
00
10
11
10
00
01
01
10
10
01
10
01
10
10
00
00
01
11
01
01
11
10
11
01
10
11
10
10
01
00
11
00
01
00
10
10
10
00
00
10
10
00
10
10
00
00
00
10
10
01
11
10
11
01
00
00
11
10
10
11
00
00
01
10
10
00
10
10
10
11
01
00
01
00
10
00
00
01
11
10
01
01
00
10
10
00
11
10
11
10
00
11
00
01
10
11
00
00
10
11
00
01
11
11
11
01
10
01
00
10
00
01
10
10
01
00
11
10
11
00
00
11
01
10
10
00
10
11
00
00
01
00
00
00
10
10
11
00
11
11
01
10
10
10
00
00
01
00
11
11
00
10
01
10
11
00
01
10
10
10
00
10
01
00
10
00
10
10
01
10
01
10
10
00
01
00
10
00
00
10
00
10
11
11
00
01
10
11
11
10
00
00
10
00
00
11
00
00
10
00
01
01
00
10
10
00
00
00
01
10
10
00
00
10
00
00
01
00
01
01
10
11
11
01
10
00
00
00
10
11
00
00
10
10
00
10
10
00
10
10
10
00
10
00
00
00
10
01
11
00
00
10
00
00
10
10
00
00
10
10
10
01
10
01
00
11
10
11
00
01
00
10
10
01
00
10
01
00
10
11
00
00
10
11
00
00
11
00
01
11
01
11
10
01
11
10
10
10
00
01
10
10
10
01
10
00
11
00
10
01
11
10
10
11
10
01
00
00
10
10
00
10
10
00
00
11
10
01
11
01
10
10
10
00
00
11
11
00
01
10
11
00
00
01
00
11
00
01
10
10
00
10
01
01
11
11
01
01
01
01
10
10
10
00
00
10
00
10
11
00
11
00
00
00
10
10
10
00
00
10
01
00
00
10
10
01
00
11
10
00
01
11
00
00
10
10
10
10
00
01
11
10
01
11
10
10
00
11
10
10
01
11
11
10
01
00
00
00
00
01
10
11
01
00
11
00
11
00
10
10
00
01
00
10
10
00
01
01
10
11
01
01
10
00
00
10
01
00
11
10
10
00
00
10
00
00
11
10
00
00
10
10
00
00
10
00
00
00
01
01
00
10
10
00
10
00
00
00
11
10
00
01
11
10
00
00
11
11
00
01
00
01
10
01
01
10
10
01
10
10
10
00
01
10
00
00
00
10
10
10
10
00
00
01
10
00
11
01
01
11
00
11
01
01
10
11
00
10
01
10
00
00
11
01
01
00
11
10
00
10
11
00
00
10
00
11
10
10
10
10
10
00
11
00
01
10
10
00
10
10
01
00
11
00
01
10
10
10
11
00
00
00
00
11
01
10
10
10
01
00
00
10
00
01
00
00
11
00
01
00
00
11
10
00
10
10
00
11
01
10
10
00
10
11
10
01
00
11
10
00
01
10
11
00
01
10
10
01
00
10
10
00
01
10
11
00
01
10
00
00
00
10
10
01
00
10
10
01
01
01
11
00
11
00
00
10
01
01
01
10
10
00
10
00
10
10
00
10
10
10
11
00
00
01
01
10
10
00
00
10
10
10
00
00
00
01
11
11
11
00
11
11
11
10
01
01
10
00
00
01
00
10
10
11
10
11
10
00
00
01
00
10
10
01
00
10
10
10
00
00
00
00
10
10
10
10
10
10
01
01
10
01
00
00
10
11
11
00
11
10
10
00
11
10
01
01
11
10
10
10
00
10
00
00
10
10
00
10
10
10
00
01
10
00
10
11
00
01
00
01
10
10
11
01
10
11
10
00
00
10
10
00
01
10
11
11
10
11
01
00
00
11
10
00
10
11
10
00
00
10
00
11
00
00
10
11
00
01
10
11
10
00
10
00
00
10
00
00
01
10
11
10
10
00
00
10
10
00
11
10
00
00
00
00
01
11
00
01
10
01
10
10
00
10
10
01
10
10
10
00
00
00
01
01
10
11
11
00
10
00
00
11
10
11
10
10
10
00
11
00
11
11
01
00
10
00
00
11
10
10
01
01
00
01
00
11
10
10
10
11
00
00
10
11
01
01
11
10
00
00
10
01
10
10
00
01
00
10
10
00
00
11
00
10
10
01
00
11
10
10
11
10
00
01
01
11
11
01
00
11
00
11
10
01
00
10
11
01
00
01
10
10
11
01
00
10
10
00
10
10
00
10
10
00
00
01
01
10
11
10
11
11
10
00
01
01
00
11
10
11
00
01
11
10
00
00
01
10
11
11
00
01
11
01
10
11
00
10
10
10
00
00
10
10
00
00
01
00
11
10
10
10
00
11
00
10
10
10
11
00
00
01
10
11
00
01
01
10
00
10
10
01
11
10
00
10
10
00
01
10
10
00
00
00
01
01
00
11
10
01
01
10
11
00
00
11
00
01
01
01
10
00
00
10
10
01
10
11
00
00
00
10
00
00
00
00
11
01
10
10
00
10
00
10
00
00
10
11
00
11
01
01
10
01
10
00
01
11
01
11
00
10
10
11
00
11
10
01
00
10
10
00
00
10
10
00
10
10
00
10
11
00
10
10
00
10
00
11
00
01
10
10
10
01
10
00
10
10
11
11
01
11
11
00
10
10
00
10
11
01
01
10
11
11
00
10
10
11
10
00
00
00
00
00
10
10
10
11
01
00
10
01
11
10
01
11
10
11
00
01
01
11
10
11
11
00
10
01
00
11
11
00
11
10
11
00
11
10
01
01
01
01
10
00
00
10
10
10
00
10
11
00
00
10
11
10
10
00
01
01
01
00
11
00
00
10
11
10
00
00
10
01
10
10
00
10
10
01
10
10
00
00
11
00
00
00
11
10
00
00
00
10
00
01
10
10
11
11
01
11
11
00
01
00
10
01
10
10
00
01
10
10
00
01
10
10
00
10
00
01
11
11
10
10
00
00
11
11
01
10
00
00
11
00
10
11
11
01
11
01
00
00
00
11
10
00
00
11
10
10
11
10
00
10
10
01
00
01
10
10
00
10
01
11
00
00
10
00
00
00
10
10
01
10
01
10
11
10
10
01
00
11
11
01
00
00
10
01
01
10
10
00
01
10
01
11
00
00
00
11
00
00
11
10
10
01
11
00
10
11
01
00
01
10
10
10
00
00
00
00
10
10
00
01
00
00
01
11
10
10
10
01
00
10
00
00
11
00
10
10
00
00
00
00
11
00
01
10
00
00
01
01
10
10
01
01
10
10
11
10
11
11
00
01
01
10
00
10
10
01
11
10
11
00
10
10
00
10
10
01
01
10
10
10
10
11
01
00
10
00
10
00
10
00
10
11
00
10
10
01
00
10
00
10
01
00
00
10
01
00
01
00
01
10
11
00
10
10
00
00
10
10
01
10
11
11
11
01
10
00
10
01
00
11
01
00
00
01
00
00
00
11
10
00
00
01
10
01
00
10
10
11
00
01
00
11
11
00
00
10
11
00
01
11
00
00
01
01
10
01
00
11
10
11
10
01
11
01
01
11
00
00
10
10
10
00
10
01
01
00
00
01
00
10
01
10
01
00
10
00
01
10
00
10
10
10
00
01
10
10
00
00
00
10
10
00
10
10
10
00
11
00
00
00
10
01
00
01
10
00
00
10
10
01
01
10
00
00
10
01
00
10
10
01
01
10
00
10
10
01
10
00
00
01
01
10
00
00
01
01
00
10
00
01
11
11
00
10
10
11
00
00
11
00
10
00
11
10
10
10
00
10
10
11
10
11
00
01
10
00
00
11
10
01
01
10
10
00
01
01
10
10
01
10
00
01
00
11
00
00
11
01
01
00
10
00
10
01
00
00
11
00
00
00
01
10
11
10
00
00
00
00
10
11
00
01
00
01
01
01
11
00
00
10
10
11
10
00
00
10
00
00
01
00
11
10
00
11
10
00
00
01
10
11
10
01
10
00
00
10
10
00
00
10
11
00
10
10
11
10
10
10
10
00
00
01
10
11
00
10
10
01
00
10
11
00
10
00
01
01
01
00
00
00
01
11
10
00
01
10
10
10
00
10
10
01
00
11
11
10
00
01
00
01
00
10
10
01
10
11
10
11
00
01
01
10
11
01
10
00
10
10
01
10
00
11
00
10
00
00
10
10
01
00
11
10
01
01
11
11
11
10
00
00
10
00
00
11
11
01
11
10
10
00
01
10
10
00
01
10
10
01
10
01
00
01
11
11
10
00
00
10
10
00
10
10
00
10
10
10
00
01
11
00
10
11
00
00
10
00
11
01
11
10
11
10
00
11
00
01
00
10
10
00
00
01
01
00
00
01
10
10
10
01
01
00
10
11
10
11
00
10
00
01
10
11
11
00
00
11
00
00
11
11
00
00
10
11
10
00
00
00
01
00
00
00
01
00
11
10
01
01
10
10
00
01
11
11
10
00
00
11
10
00
00
10
10
01
01
01
00
10
00
00
11
10
00
00
10
01
00
00
10
11
10
11
00
10
01
10
01
10
00
00
10
00
01
10
10
10
11
00
01
00
11
10
01
00
11
10
01
10
10
00
01
00
10
10
01
10
10
00
00
10
00
10
01
10
10
10
00
00
00
00
10
10
00
10
00
00
10
11
01
01
01
10
00
00
00
10
11
00
00
10
10
11
11
00
10
00
00
10
10
01
00
10
10
00
11
00
00
10
10
01
00
11
00
10
11
10
00
11
11
01
11
10
10
00
11
10
11
00
00
11
11
11
00
00
10
11
00
11
01
00
01
11
11
00
11
00
00
00
11
00
01
00
10
01
11
10
00
10
10
00
11
11
01
01
00
00
00
00
00
00
11
11
10
10
10
01
10
00
00
10
10
01
10
11
00
00
10
10
00
10
10
00
10
10
10
00
00
00
11
00
01
01
11
10
00
10
00
00
10
10
01
10
00
00
00
00
00
00
10
00
01
01
01
00
10
00
11
11
01
00
11
00
00
10
11
10
00
00
01
10
00
11
10
00
10
10
11
11
00
00
00
10
00
10
00
10
10
00
10
00
00
00
10
10
10
10
10
10
01
00
11
00
01
00
01
11
10
01
01
01
11
10
00
00
10
00
11
10
01
00
00
11
11
00
00
10
11
00
00
00
10
00
00
10
00
00
00
11
10
00
10
10
11
10
10
01
10
10
10
10
10
00
00
01
10
10
00
01
10
10
00
00
10
00
00
00
11
10
00
10
10
00
01
10
00
10
10
10
00
00
00
10
00
00
00
10
10
10
10
00
01
00
00
01
11
00
10
01
10
00
00
00
10
00
00
00
00
01
11
00
10
00
01
00
11
00
01
00
11
00
01
10
10
00
01
10
11
01
11
10
11
10
00
00
00
11
11
01
00
10
00
11
01
01
11
10
10
00
01
10
11
01
00
10
00
00
11
10
10
00
00
01
00
10
00
01
00
00
00
10
00
11
10
10
00
00
01
01
10
00
00
10
00
11
00
11
10
11
11
11
10
01
10
00
11
11
11
00
00
10
00
00
11
10
00
10
00
01
11
00
10
01
11
00
00
00
10
00
01
01
00
10
10
01
00
10
10
01
11
11
10
00
11
00
00
10
10
10
10
00
10
11
01
10
00
00
00
11
00
00
10
01
11
11
00
00
10
01
01
11
00
01
00
00
10
10
10
00
11
00
00
11
11
10
00
01
01
11
00
10
10
00
00
01
11
00
01
11
01
10
10
11
00
00
10
00
10
10
01
10
10
01
11
00
11
10
01
11
10
01
00
00
10
11
10
00
10
00
10
11
10
00
00
10
11
00
10
00
01
11
11
11
00
00
11
00
01
11
00
00
10
00
10
01
01
10
10
00
01
10
10
00
10
10
11
10
01
11
11
00
00
11
00
00
10
10
00
01
10
11
10
01
00
10
10
00
11
10
10
00
00
11
00
00
01
10
10
10
01
00
01
11
11
00
10
00
00
10
10
10
00
10
01
10
00
10
10
10
10
00
10
10
01
01
01
10
10
10
01
01
10
10
00
10
10
00
10
01
00
10
00
01
00
00
10
11
00
00
01
11
00
01
00
11
00
10
11
01
00
10
10
10
00
11
10
00
01
11
00
10
01
00
01
10
11
00
11
10
10
10
00
01
01
10
10
11
00
00
00
10
11
10
11
00
00
10
10
01
00
10
01
01
01
00
10
00
10
00
10
11
00
00
10
11
10
00
11
00
00
01
01
11
00
10
01
01
10
01
11
10
00
01
00
01
10
10
00
10
00
01
10
01
10
00
00
01
01
11
00
11
01
00
01
00
01
11
10
10
10
00
00
10
00
00
11
11
10
10
11
11
10
10
00
00
10
00
01
00
10
00
10
11
10
01
10
11
00
00
01
10
10
01
00
01
11
11
00
10
00
00
01
10
10
01
10
01
00
01
11
01
01
10
10
00
10
10
00
00
10
11
00
11
11
10
01
01
11
00
01
00
00
11
10
01
01
00
11
10
10
00
00
10
00
00
10
00
00
00
01
10
01
10
10
11
01
10
10
10
00
00
11
11
00
11
11
10
00
00
00
10
11
01
11
10
00
00
11
01
00
10
11
11
10
00
00
00
01
00
11
01
00
10
10
11
00
00
01
10
11
10
00
00
00
00
00
10
11
10
00
00
10
00
00
11
01
10
10
00
00
01
00
10
10
01
00
10
01
10
11
11
00
10
10
10
01
10
00
01
10
01
11
00
10
00
00
10
00
01
11
00
00
00
00
00
10
00
01
11
00
00
11
00
01
00
11
10
01
01
11
10
00
10
11
11
01
10
10
10
01
00
00
10
10
11
10
00
10
00
00
01
01
11
00
00
11
00
00
11
00
00
10
01
10
10
00
01
01
10
10
00
10
10
10
01
10
11
11
01
00
01
01
10
10
00
00
10
11
01
11
11
11
00
10
00
11
00
10
10
00
01
10
01
00
00
10
01
10
01
11
10
01
01
01
11
00
01
10
01
00
11
10
01
10
11
00
00
00
10
10
01
10
00
00
10
00
10
00
01
00
00
10
00
00
11
11
00
11
10
01
11
10
00
00
00
00
10
10
10
00
01
10
11
00
00
11
10
01
10
10
01
01
01
10
10
10
10
00
00
00
11
10
00
10
01
10
10
00
10
11
10
10
00
10
10
10
00
00
10
11
00
00
01
11
10
00
00
00
00
10
10
01
01
11
11
00
00
11
10
00
00
11
11
11
00
00
01
11
10
00
01
11
00
10
01
00
10
10
11
10
01
01
00
10
10
00
00
10
11
11
10
10
10
00
10
00
00
11
10
11
10
00
11
00
11
00
01
11
00
01
10
10
01
10
00
10
00
01
00
11
00
00
00
00
10
10
11
01
00
10
00
11
10
00
00
01
10
11
11
10
00
00
11
10
00
11
10
01
00
00
11
00
10
11
00
00
01
11
00
00
00
00
10
11
11
11
11
10
10
00
00
10
10
00
00
00
10
01
00
00
10
10
10
11
10
10
01
10
00
00
10
01
00
11
11
10
01
00
11
01
10
10
11
00
01
10
10
11
01
01
10
00
10
00
01
11
01
00
01
11
00
01
10
11
01
00
11
10
10
00
00
10
00
00
10
10
00
00
10
00
10
00
00
01
01
11
00
01
01
01
10
11
00
00
00
01
10
11
01
10
00
11
10
01
11
01
00
10
10
00
10
11
00
10
11
00
10
11
10
00
01
11
10
01
10
11
00
00
11
00
10
01
10
11
11
01
10
11
00
10
11
00
01
10
10
00
01
01
11
11
01
01
11
11
00
11
11
01
00
10
10
00
01
11
00
11
11
01
10
11
10
10
10
00
00
00
00
10
11
10
11
01
01
00
10
10
00
11
10
00
00
10
11
00
00
10
01
01
11
11
00
01
11
00
11
00
00
00
00
10
10
11
11
10
00
10
10
11
00
01
10
10
00
10
00
01
10
10
00
00
10
01
00
00
01
10
00
10
10
10
01
11
10
11
00
00
00
10
00
11
10
01
10
00
00
00
00
10
10
00
01
10
11
10
11
00
01
11
10
00
00
11
11
11
01
10
10
00
01
10
11
10
00
00
10
11
00
10
10
10
11
10
00
10
01
10
10
10
00
00
10
00
01
00
01
10
00
10
10
10
10
10
00
01
00
11
10
01
00
10
00
00
00
10
10
01
10
00
00
00
00
10
10
00
00
00
00
00
10
00
00
01
00
10
00
00
10
10
10
00
00
11
10
10
10
01
00
01
11
10
00
00
00
01
10
11
00
00
11
01
00
11
10
11
10
00
00
10
10
01
10
10
01
11
11
01
00
10
10
00
00
11
10
00
01
00
10
10
00
10
00
10
10
10
00
00
01
10
11
00
00
00
00
01
00
00
10
11
01
01
01
11
10
10
11
00
11
00
01
10
10
00
10
10
00
01
00
00
01
10
11
01
10
11
01
10
01
01
11
11
01
01
01
10
11
00
00
01
00
10
01
00
11
11
10
01
10
01
11
01
10
10
10
00
01
00
00
10
10
01
11
10
00
00
11
11
00
00
00
11
10
00
00
11
01
01
00
11
11
10
01
10
11
10
00
01
00
10
10
11
00
01
00
10
10
00
10
10
01
00
00
11
00
01
11
10
10
10
11
00
10
11
01
11
11
00
10
10
00
01
10
00
01
00
01
11
00
10
10
10
00
00
10
11
00
01
00
00
10
00
10
00
10
10
00
10
00
10
10
00
01
00
00
10
00
11
10
11
10
01
00
01
11
10
00
01
10
00
10
11
00
11
10
01
00
11
00
00
00
00
11
00
00
10
00
10
10
00
10
00
00
11
10
10
11
10
11
10
11
10
01
01
01
10
10
00
01
11
11
00
00
10
00
01
10
00
01
10
11
10
01
10
00
00
10
10
10
10
01
00
01
00
01
01
00
00
10
10
01
00
10
00
00
00
10
11
00
00
10
10
11
01
00
00
01
10
10
01
10
01
00
00
11
10
01
00
11
10
10
01
11
10
11
01
00
10
00
11
10
11
00
01
10
00
10
10
11
10
01
10
10
10
10
00
01
00
10
10
10
10
11
01
00
00
01
10
00
11
10
11
11
00
10
01
01
11
11
01
01
11
10
10
10
00
01
11
11
00
00
10
00
11
00
00
10
10
11
11
11
01
00
01
10
00
01
00
10
11
10
00
10
11
00
00
10
10
10
11
10
10
00
01
00
10
10
00
10
10
10
00
11
10
01
00
01
01
11
01
00
00
01
10
10
11
00
00
00
00
10
01
10
10
11
10
00
11
10
10
10
01
00
10
10
00
11
11
01
01
11
10
10
00
10
00
00
10
00
00
11
01
01
10
10
01
10
01
00
00
00
00
10
10
00
10
10
11
00
01
00
00
01
00
01
11
11
00
10
01
00
00
11
11
00
10
10
00
00
11
00
00
00
11
00
10
10
10
00
10
11
11
10
11
10
00
11
01
00
00
10
11
01
00
00
00
11
01
11
10
11
00
01
11
00
00
10
10
00
00
10
10
00
01
10
10
11
11
00
01
00
10
11
11
01
10
11
00
00
11
10
10
00
00
01
00
11
00
01
01
00
10
00
00
11
01
01
01
11
00
10
10
00
10
11
11
00
00
11
01
01
00
10
00
10
11
01
00
10
10
00
10
01
00
10
10
01
00
11
01
10
10
10
00
00
00
10
00
10
00
00
10
00
00
11
10
10
01
11
00
00
10
10
11
00
00
00
10
10
10
10
01
10
10
10
11
10
10
00
00
10
00
00
10
11
10
00
00
01
01
01
01
10
10
10
10
01
00
01
11
11
11
00
00
10
11
01
00
10
11
00
01
00
01
10
10
11
11
00
00
11
01
00
01
10
10
10
00
10
10
01
10
10
01
01
00
11
10
10
10
10
10
00
00
00
11
01
00
11
11
01
10
10
11
10
01
00
00
01
01
10
11
10
10
10
00
00
00
10
10
11
10
00
10
11
10
11
01
00
11
00
10
00
01
10
00
00
10
10
10
00
00
11
11
10
11
11
00
00
11
00
01
00
11
10
00
01
10
01
00
11
00
10
11
00
10
10
00
00
00
10
11
11
10
00
10
10
10
00
10
01
00
11
10
00
11
10
10
00
11
10
01
00
10
00
00
00
01
10
11
10
10
01
01
11
10
00
00
01
10
00
01
11
10
00
11
00
10
10
00
11
00
01
10
11
10
01
01
10
10
00
00
10
11
01
01
01
11
10
01
00
11
11
01
00
11
11
00
10
10
11
10
11
00
00
10
10
00
10
10
00
00
00
00
11
00
00
11
01
11
00
11
00
11
10
11
01
00
10
00
01
11
10
10
00
00
10
00
01
10
10
00
00
01
00
00
10
10
00
00
10
10
00
00
01
10
01
01
10
10
00
00
11
10
00
10
10
01
00
00
00
10
11
00
01
11
00
10
10
00
00
00
10
11
01
00
00
01
01
00
10
11
11
00
01
10
10
00
00
11
00
00
10
10
00
01
11
10
00
01
01
00
10
11
10
01
10
00
01
10
10
01
00
11
10
00
00
00
10
11
01
10
00
00
10
10
10
01
10
00
10
10
10
00
00
00
10
10
11
00
00
11
00
10
10
10
10
10
00
00
10
01
01
11
01
00
10
00
00
00
11
10
01
01
01
00
11
10
10
00
01
01
11
11
00
01
10
01
00
00
10
10
00
01
00
10
00
00
00
00
10
11
00
00
00
01
10
10
10
10
00
01
11
01
00
10
10
00
00
11
00
01
10
11
00
01
10
10
00
00
00
01
10
10
10
11
01
11
10
10
10
00
00
10
00
00
00
10
10
00
10
10
10
00
01
01
00
10
00
00
00
11
10
00
00
10
11
01
00
10
10
01
10
10
01
01
10
01
00
01
11
11
10
10
00
00
11
10
10
01
00
11
10
00
01
10
10
00
01
11
11
00
10
10
10
01
00
01
11
10
00
00
00
00
11
10
10
00
00
00
10
00
11
10
00
11
00
01
00
01
10
00
00
10
00
00
00
10
11
11
00
10
01
00
11
00
00
11
10
11
10
11
00
00
10
00
11
11
00
00
00
10
01
10
10
11
00
00
00
01
10
00
11
10
00
10
00
00
10
00
00
10
10
00
10
10
10
01
10
00
00
00
01
01
00
10
01
00
01
10
11
01
10
00
00
10
10
01
00
10
00
11
10
11
10
10
00
00
10
10
01
00
00
10
01
00
00
00
01
01
10
01
10
10
10
10
00
01
00
10
00
00
10
00
11
10
10
11
00
00
01
10
01
01
00
00
00
00
00
01
10
11
10
00
00
01
00
11
10
00
10
00
01
10
11
00
00
10
01
00
00
11
10
10
00
01
10
10
00
10
10
00
00
00
10
10
10
10
11
10
00
00
01
10
11
01
01
11
10
10
11
00
00
00
10
10
00
10
11
00
01
10
01
00
10
11
01
00
10
10
00
10
00
00
11
00
10
00
11
00
10
11
10
01
10
00
00
11
10
00
00
10
01
01
11
00
11
00
01
00
00
10
10
01
10
11
00
00
10
01
00
00
10
10
00
00
00
10
00
11
10
10
01
10
10
01
10
10
10
00
01
11
10
10
10
11
01
00
10
10
01
01
11
00
10
00
01
10
00
00
10
10
00
01
11
01
01
01
11
00
00
11
01
01
11
01
00
00
00
10
10
00
01
00
11
00
01
10
11
01
00
01
11
11
01
00
01
11
00
10
11
11
00
11
10
00
00
01
10
00
00
10
10
01
11
00
00
00
00
01
10
11
01
00
10
01
10
00
01
10
10
11
01
01
00
10
00
00
00
11
11
00
10
10
00
01
00
11
11
00
00
10
01
11
10
10
01
01
10
10
00
00
10
01
00
11
01
00
10
10
01
00
11
10
11
11
00
01
10
11
01
00
10
11
00
00
00
01
10
11
10
10
00
11
00
11
10
01
10
10
11
10
01
00
10
11
10
01
10
11
00
00
10
00
00
10
10
00
10
10
00
11
11
00
00
10
00
00
00
10
11
10
00
10
10
11
10
00
10
00
00
10
00
10
00
10
01
00
00
00
10
11
00
01
10
00
01
10
00
11
10
00
11
00
01
11
10
11
10
00
01
00
10
00
00
11
11
11
10
00
10
00
00
00
10
11
00
00
00
10
11
10
10
00
00
01
00
00
11
10
10
00
01
11
11
10
00
00
10
11
00
00
10
00
10
10
00
10
01
00
11
10
10
00
00
00
10
00
00
10
10
00
00
10
10
10
10
00
00
00
00
00
11
11
00
00
00
11
00
10
00
00
10
01
00
10
00
01
00
10
01
00
01
10
11
10
11
00
10
11
01
01
10
10
10
10
11
00
10
10
00
10
10
10
01
01
00
10
00
10
10
10
00
00
00
00
11
01
11
10
01
00
01
11
10
10
00
10
01
01
00
10
11
11
10
10
01
10
01
01
10
11
11
10
00
00
10
10
00
01
00
00
00
10
11
10
10
00
01
10
00
00
01
10
10
00
10
11
10
10
01
01
01
00
10
00
10
01
10
10
00
11
01
01
00
10
00
00
00
00
01
10
01
00
10
11
11
01
00
00
00
11
00
11
11
01
00
01
10
00
11
00
00
10
01
00
00
00
10
11
00
10
00
11
10
01
10
10
10
00
00
00
01
10
10
10
10
10
00
00
00
00
00
00
01
11
10
10
00
01
10
01
00
00
00
00
11
10
10
00
00
10
10
00
00
00
01
10
10
10
00
10
00
00
10
11
00
11
11
01
01
00
10
11
10
00
00
00
01
00
00
10
01
00
10
11
01
10
00
01
01
01
10
00
01
10
10
00
00
11
00
10
10
01
10
11
00
00
01
10
01
10
11
00
10
10
10
01
00
10
10
01
10
10
00
01
10
01
10
11
01
11
00
00
10
11
10
00
01
10
00
01
10
00
00
01
11
10
00
01
01
01
10
11
10
11
00
00
00
11
11
00
10
10
01
10
10
11
00
01
00
01
11
11
11
11
00
01
00
11
10
00
10
10
01
01
00
10
10
01
00
00
01
11
01
01
10
00
10
10
00
10
10
10
00
00
01
01
10
11
11
01
10
10
00
01
11
10
10
01
10
11
00
11
11
00
00
10
01
00
11
00
10
10
01
00
10
00
01
01
10
00
10
11
10
01
10
00
10
11
10
01
00
10
00
10
10
10
01
00
10
11
00
00
11
10
01
10
01
01
10
11
10
11
00
01
00
10
10
01
10
10
01
00
11
11
00
00
10
10
01
00
11
00
00
10
10
00
01
10
10
10
00
00
10
00
00
10
10
00
01
11
01
01
11
01
11
00
10
01
10
11
00
01
10
00
10
10
10
01
10
10
00
01
10
00
00
01
00
00
10
01
00
01
00
10
10
01
00
10
10
10
11
10
10
00
11
00
10
10
10
10
11
10
00
00
00
10
00
11
10
10
00
11
01
10
10
11
10
11
00
01
10
11
10
10
00
00
01
10
01
10
00
00
01
00
11
10
00
11
10
10
10
10
01
00
10
01
00
11
11
10
11
00
00
11
00
00
11
00
01
11
01
11
10
10
10
11
01
01
11
00
01
00
11
00
00
10
10
11
00
10
10
10
11
10
11
00
00
00
11
10
00
10
11
10
00
10
10
00
10
10
01
11
10
10
00
01
00
00
01
11
11
10
10
10
01
11
10
00
10
10
01
10
00
00
10
00
10
10
11
00
00
10
10
11
10
10
00
01
10
11
10
01
10
00
11
10
00
00
10
10
00
00
10
10
01
10
00
00
00
00
10
10
11
11
00
10
10
11
01
01
01
00
00
00
11
10
10
00
11
10
00
10
10
01
00
11
00
10
10
10
00
01
00
10
11
01
00
00
00
11
10
01
01
00
11
00
11
11
01
01
01
11
11
01
10
10
00
00
11
10
00
00
00
00
10
00
00
10
11
00
10
11
11
11
01
10
11
00
01
00
10
10
10
01
01
00
00
10
10
10
01
01
10
00
00
11
10
11
00
10
00
10
00
01
01
11
00
01
00
00
10
00
11
10
11
10
01
11
00
10
10
00
10
00
01
10
10
00
00
10
10
10
10
01
01
11
01
00
01
01
10
10
01
00
10
10
00
10
10
11
10
00
10
00
01
00
11
00
00
01
11
10
01
11
00
01
10
10
10
11
00
00
01
10
00
00
10
00
00
10
10
10
00
10
01
00
10
00
10
10
10
10
01
01
10
00
01
10
00
00
11
11
00
10
00
00
11
00
11
10
01
00
01
00
01
01
10
00
00
00
11
10
01
10
10
00
10
00
01
00
10
01
01
00
00
01
01
11
10
00
01
00
01
10
11
00
11
10
10
10
01
10
10
00
00
10
00
10
10
00
10
11
01
00
11
00
00
11
01
01
11
11
11
11
01
01
11
00
00
01
11
00
00
10
10
11
00
00
11
11
01
01
00
11
00
01
00
10
01
00
10
11
10
00
10
01
01
11
11
10
10
10
00
00
11
11
01
01
10
10
11
10
11
00
00
10
00
11
01
10
11
10
00
10
10
01
00
10
00
10
01
00
10
10
10
00
10
00
11
00
00
10
01
10
10
00
10
11
10
00
01
10
11
01
00
10
01
10
10
11
11
00
10
01
01
10
10
10
00
01
00
10
11
01
00
11
10
10
11
10
01
00
00
01
10
00
10
00
01
10
10
11
10
00
10
10
10
00
10
11
00
10
10
01
10
10
11
10
10
00
01
11
01
00
11
10
01
11
00
00
11
11
11
00
01
01
11
10
00
11
10
11
01
01
11
00
00
10
00
00
01
10
10
00
10
11
01
10
00
00
00
00
11
11
00
01
00
01
10
10
10
11
00
00
10
00
00
00
00
11
10
10
00
01
10
11
00
00
01
00
11
10
10
00
00
11
00
10
11
00
10
00
10
10
11
10
00
11
00
10
10
00
11
00
00
10
11
00
01
00
11
01
00
00
00
10
10
00
01
11
10
01
10
11
00
10
10
00
10
11
10
10
00
11
00
10
10
01
10
10
10
00
00
00
00
10
00
01
11
10
10
01
00
01
00
11
01
11
10
10
01
00
00
11
10
00
00
10
01
00
10
00
11
00
00
11
10
00
00
10
00
00
10
11
10
10
00
01
00
00
01
11
11
00
00
10
00
00
01
10
11
10
10
00
00
11
10
00
10
11
10
10
11
10
10
00
00
00
00
00
00
10
00
11
10
00
10
10
01
00
10
00
11
10
00
01
10
00
00
10
11
01
00
11
10
00
01
00
01
10
11
00
11
10
11
10
01
01
10
10
11
00
00
00
10
10
10
10
00
01
00
10
11
00
11
01
00
10
11
00
00
00
10
11
10
00
10
00
00
00
00
11
00
01
00
01
10
00
01
10
01
01
00
11
11
01
10
11
01
00
00
10
10
00
10
10
11
00
00
01
00
00
01
10
00
10
11
01
10
10
11
01
01
11
10
11
01
10
10
11
11
00
00
00
11
00
00
11
01
10
01
00
00
10
10
00
10
10
00
10
10
00
01
10
01
00
01
10
10
00
01
00
11
00
00
11
00
10
10
00
11
11
10
01
00
00
10
00
10
10
00
10
00
00
10
10
01
11
00
00
01
10
01
10
01
10
10
11
00
10
00
10
10
10
10
01
00
11
11
11
01
10
01
01
00
11
01
11
11
10
01
01
10
10
01
00
10
10
00
00
10
11
01
10
01
00
10
10
00
00
10
10
00
11
10
10
01
10
10
10
00
01
00
11
10
10
10
00
01
10
10
00
00
11
11
10
01
01
10
00
11
00
00
01
11
11
00
01
10
10
10
00
11
10
11
00
00
10
11
01
00
10
10
11
10
10
01
00
10
01
00
11
10
00
01
10
10
10
00
00
00
10
10
01
00
10
00
00
00
10
11
00
11
10
11
00
00
00
10
00
01
10
10
11
01
00
10
00
01
01
10
10
00
10
11
01
10
11
11
11
10
00
00
00
01
10
10
01
10
11
11
10
00
10
10
10
11
10
01
11
00
00
00
11
10
01
11
01
00
10
00
00
01
10
10
00
01
10
01
00
00
00
10
00
00
00
10
00
00
11
10
00
10
00
00
01
10
11
10
01
00
00
10
01
00
01
01
10
10
10
10
01
00
10
10
00
10
11
11
00
11
10
10
00
10
10
00
10
10
00
00
11
01
00
00
11
01
10
01
00
11
00
10
00
01
10
10
01
11
10
11
10
01
10
11
11
00
11
10
01
01
00
10
11
00
00
10
10
00
10
11
11
00
11
10
00
00
00
11
00
00
11
00
00
01
10
01
00
00
00
00
01
10
00
00
00
10
00
10
00
00
00
00
10
00
10
11
11
10
01
00
00
00
11
00
00
00
10
01
00
00
00
10
11
00
10
11
11
01
11
01
10
00
00
10
10
00
00
10
00
10
11
11
10
10
10
01
10
00
00
10
10
01
11
11
10
00
00
11
00
10
11
10
10
10
00
01
10
10
01
11
10
01
00
10
10
00
00
10
10
00
01
00
10
11
00
00
01
10
11
11
11
01
10
10
01
01
01
10
10
01
11
10
00
00
10
10
00
10
10
11
10
11
11
01
11
10
00
10
10
10
01
00
10
11
10
10
11
00
00
00
00
10
10
10
11
00
00
10
00
01
11
00
00
00
01
10
01
10
10
01
10
00
10
00
00
11
11
10
10
00
00
11
10
00
10
00
00
10
00
11
01
01
10
01
10
01
00
11
10
01
00
00
00
11
11
10
00
00
00
10
10
00
10
10
01
10
11
00
01
10
10
10
01
10
10
01
10
10
11
00
01
11
10
11
10
10
01
10
01
10
11
01
01
10
11
01
00
00
11
00
01
10
00
10
00
00
00
00
10
11
11
11
10
11
00
10
10
10
00
10
10
01
00
01
10
10
00
10
01
00
10
10
10
00
10
00
00
10
00
11
01
01
10
10
10
00
10
00
00
11
10
00
01
10
11
00
10
10
00
10
10
01
01
01
10
00
10
11
01
11
11
00
11
00
10
10
00
00
00
10
11
00
10
00
00
01
00
00
10
11
10
00
00
10
10
00
10
01
10
11
01
01
01
10
00
00
10
00
10
10
01
01
01
00
01
00
00
10
10
01
00
10
10
00
10
00
10
10
01
10
01
01
01
11
10
10
01
00
10
10
00
00
10
01
00
00
10
10
00
01
01
01
10
10
00
00
01
10
10
00
00
10
00
10
10
10
10
00
00
01
00
01
11
00
00
01
00
11
10
00
10
00
00
00
10
11
00
00
11
10
10
11
10
11
10
10
10
10
00
00
10
00
00
00
00
11
00
10
10
11
11
10
11
00
00
10
01
00
10
00
00
01
11
00
10
11
00
10
10
10
10
01
11
00
01
11
00
10
11
00
00
01
10
11
10
00
00
10
10
00
01
10
01
10
01
00
01
00
11
10
10
10
01
10
10
10
00
01
10
11
11
11
01
00
10
11
10
11
00
01
00
11
10
11
00
00
10
10
00
00
10
10
00
01
11
00
10
00
11
00
00
01
10
00
11
10
01
00
11
10
10
00
11
00
00
10
10
00
10
00
00
11
10
00
01
10
11
01
00
10
10
10
10
01
01
10
10
00
01
10
11
00
01
00
11
01
10
10
00
00
10
10
11
00
01
10
10
10
00
00
10
11
00
10
00
11
00
10
00
01
11
11
00
00
10
01
01
00
01
10
11
10
00
01
00
01
00
01
10
00
11
01
10
10
10
00
01
10
01
00
11
01
01
00
00
10
10
11
10
00
01
10
10
10
00
01
10
00
00
01
00
00
10
10
10
01
00
11
10
01
00
10
00
00
10
10
00
00
01
10
10
10
00
10
10
10
00
01
11
01
10
00
00
00
01
10
11
01
00
10
10
11
00
11
10
00
00
10
10
10
11
10
10
10
11
10
01
00
11
10
00
10
11
00
00
10
11
11
10
11
00
00
10
01
10
10
01
00
01
01
00
00
00
10
00
00
10
10
00
01
11
00
10
00
01
00
00
10
00
00
11
10
10
10
00
11
01
11
00
11
10
11
11
11
10
00
00
10
01
00
11
11
01
01
00
10
00
00
10
10
11
10
10
00
00
00
00
10
11
00
00
11
10
00
00
10
11
00
00
10
00
01
00
10
10
00
01
11
10
10
00
10
11
00
01
00
11
01
00
00
10
10
00
00
00
10
10
10
10
11
10
00
01
01
01
11
10
00
00
11
11
00
01
10
00
00
00
00
00
01
10
01
11
10
00
00
01
10
01
00
10
00
01
10
11
11
10
00
10
11
00
01
10
11
10
10
10
01
00
10
10
00
10
10
00
00
10
00
00
10
01
10
10
01
00
00
01
10
01
10
11
01
10
00
00
10
00
11
10
11
10
01
01
00
01
11
00
11
00
01
11
10
10
10
00
00
10
10
00
01
00
11
10
00
01
01
01
10
10
00
11
00
11
10
00
00
10
00
10
01
01
00
01
11
00
10
00
01
11
10
10
00
00
10
11
01
01
10
11
00
00
00
10
10
11
10
00
10
11
00
00
01
10
01
01
11
10
01
10
11
11
00
01
10
11
11
01
11
00
00
10
01
00
10
11
00
10
10
01
10
10
00
00
01
01
00
11
10
11
11
01
00
10
10
00
00
10
01
01
01
11
10
00
10
00
01
10
01
00
11
00
01
10
10
10
01
01
11
01
00
11
10
10
00
00
11
10
11
00
00
10
00
11
10
10
01
00
10
10
10
10
00
01
10
11
11
00
00
10
01
11
00
10
00
01
00
00
10
10
10
01
11
00
00
10
10
00
11
00
10
00
11
10
01
11
00
10
10
01
00
11
01
00
10
00
00
00
00
11
10
10
00
00
10
01
10
10
11
00
10
10
10
00
00
00
11
11
01
01
00
11
10
00
00
11
10
00
00
01
00
10
01
11
10
10
10
00
01
10
10
00
00
11
10
01
00
00
00
00
01
10
01
10
10
10
11
00
11
00
00
10
00
00
10
00
01
11
11
01
11
10
10
00
11
11
01
01
11
01
10
11
10
10
00
00
10
10
00
10
10
11
00
11
10
10
01
01
11
00
10
10
00
01
00
00
10
01
10
00
00
00
01
00
10
10
01
10
01
10
00
10
11
00
10
00
10
10
10
00
00
01
11
11
11
11
00
10
00
00
01
11
10
00
00
00
11
00
01
10
00
00
10
11
10
00
11
00
11
01
01
10
00
00
00
00
00
10
11
10
00
10
00
10
00
00
01
11
00
00
10
11
00
00
10
10
00
11
11
01
11
10
00
00
10
10
10
01
00
01
10
01
10
11
10
00
01
10
10
00
11
10
00
10
11
01
00
11
10
10
00
11
01
10
01
00
10
00
10
10
00
10
10
00
10
10
10
01
01
10
00
00
11
11
11
10
10
01
00
00
00
11
11
00
00
10
00
00
10
10
10
00
00
10
11
11
11
00
00
00
01
00
10
10
10
01
10
10
01
00
11
10
00
00
00
10
10
00
00
10
00
00
10
10
10
01
11
11
00
00
00
10
00
11
00
01
11
10
00
00
10
10
11
11
10
00
00
11
10
00
01
10
00
01
10
00
00
10
01
00
10
10
00
01
10
00
11
00
00
00
10
00
00
00
01
11
00
10
10
11
00
11
10
01
10
10
01
00
01
10
10
11
11
10
01
11
10
11
01
01
10
10
01
00
11
00
00
10
10
00
11
00
00
11
01
11
01
11
10
01
00
10
10
11
11
00
01
10
00
00
10
00
01
10
01
10
11
00
11
10
01
10
00
00
10
11
00
10
00
10
10
00
00
10
10
10
11
10
00
10
10
10
11
10
01
00
10
00
10
10
00
10
01
00
10
10
00
10
00
00
10
11
01
00
00
10
10
00
10
00
00
00
11
10
10
00
10
01
01
11
10
00
00
11
00
10
00
01
00
00
10
10
11
01
00
11
00
10
10
11
01
00
01
11
10
10
00
00
01
01
00
10
01
11
10
00
10
10
11
00
00
11
00
00
11
01
01
00
01
01
01
00
10
10
00
00
11
10
00
10
00
10
10
01
00
00
10
10
01
01
11
10
11
00
00
10
00
01
10
01
00
10
10
10
00
11
10
00
10
00
00
10
00
00
11
10
10
00
01
10
00
00
10
10
00
00
10
00
00
10
01
11
01
11
00
11
00
10
11
00
10
10
00
00
11
00
11
10
00
10
11
00
00
00
11
01
10
10
00
00
11
00
01
10
00
01
10
10
10
01
00
00
10
10
00
00
10
00
00
00
01
00
11
00
00
11
01
10
10
10
01
10
00
00
10
00
01
11
10
00
00
10
11
11
00
10
00
10
10
00
00
01
11
00
00
00
10
11
10
00
01
01
11
10
01
01
10
10
01
01
10
11
00
00
10
10
11
00
10
10
00
00
10
10
00
00
01
11
00
10
11
11
11
00
11
00
00
10
11
11
00
00
10
11
00
10
00
10
01
10
01
00
00
11
11
01
00
00
10
11
01
10
11
00
00
10
11
01
10
00
11
11
01
00
10
11
00
10
00
10
10
01
00
01
00
00
00
11
10
00
00
10
01
01
00
11
10
10
10
01
11
10
10
00
11
10
00
01
10
10
01
00
01
00
00
10
00
00
00
00
11
11
11
10
00
00
00
11
00
10
10
10
01
01
10
10
00
01
00
00
00
00
01
11
01
11
00
10
11
10
01
11
10
00
10
10
10
01
01
00
10
00
10
00
01
11
00
10
10
00
00
00
00
11
00
00
00
00
00
10
01
10
10
10
01
01
00
10
00
00
00
11
00
11
00
10
10
11
11
00
01
10
11
10
10
10
10
10
01
00
00
01
10
11
01
01
10
00
00
11
00
01
00
10
01
01
00
00
10
11
01
01
11
11
10
10
11
11
01
00
10
10
10
00
00
00
10
11
01
10
00
00
10
10
00
11
11
01
00
11
00
10
00
00
10
00
00
10
00
01
10
11
10
00
11
00
00
00
00
10
00
00
01
10
10
01
00
00
00
00
10
11
00
11
11
10
11
00
10
00
01
10
11
10
00
00
01
10
00
10
11
10
01
00
00
10
00
00
00
10
10
00
10
01
00
00
11
00
11
00
00
10
10
00
10
00
10
01
01
10
11
10
01
00
11
10
00
00
10
10
00
00
11
10
00
11
00
11
01
01
10
00
11
10
10
00
11
10
00
10
00
00
10
01
00
01
10
00
00
00
10
11
00
01
11
01
11
01
01
10
10
01
00
11
10
00
00
11
01
11
11
11
10
10
00
10
10
00
00
01
00
10
00
00
00
10
10
11
11
11
00
01
00
00
10
10
01
00
00
10
10
11
11
00
11
00
10
10
01
11
00
00
11
10
11
00
10
10
00
10
11
01
00
01
10
11
00
00
01
00
10
11
01
00
10
00
11
10
10
11
00
01
00
10
10
00
10
10
10
00
10
10
01
00
00
10
10
10
00
01
00
10
01
10
10
10
11
11
01
00
00
00
11
10
11
00
00
11
11
00
00
00
11
00
00
00
00
00
00
00
10
00
00
01
01
11
10
10
01
00
01
11
00
01
01
01
00
10
10
10
00
00
00
10
10
00
01
10
00
10
00
11
10
00
00
01
10
10
00
00
10
00
10
10
00
00
10
00
00
00
10
01
00
10
11
00
01
10
10
10
00
00
01
10
01
00
11
10
10
10
00
00
11
10
00
10
00
11
10
10
01
00
11
10
00
00
01
10
10
00
01
10
11
10
10
00
00
10
10
01
00
11
00
00
01
00
00
10
01
00
01
01
10
01
00
01
11
10
00
10
11
00
11
11
00
11
10
10
10
00
01
01
00
10
10
00
00
00
10
10
10
00
00
10
00
00
01
11
01
10
11
00
00
10
10
10
00
11
00
01
01
01
11
00
01
10
00
10
11
00
10
10
00
00
10
11
10
10
00
11
00
00
10
10
00
00
01
11
10
00
10
00
00
00
01
11
00
00
10
10
11
00
10
10
01
11
10
00
00
01
10
01
11
01
10
11
00
10
11
01
01
10
10
01
10
10
01
00
01
10
11
01
10
10
11
11
00
10
11
00
00
11
00
00
00
00
11
00
00
00
01
10
01
10
10
10
11
11
00
00
11
00
11
01
11
11
10
11
00
00
11
00
00
00
11
11
00
10
10
10
00
10
00
00
10
10
01
01
10
11
11
10
00
00
00
10
00
00
10
00
11
11
11
00
10
00
10
01
10
10
00
00
10
00
00
00
10
11
11
10
11
00
10
10
10
10
00
11
00
11
00
10
01
00
01
10
10
00
00
10
10
10
00
11
11
00
00
00
11
10
01
00
10
00
01
00
11
00
01
11
01
00
01
11
10
00
10
10
10
00
00
00
11
10
00
01
00
11
10
10
01
10
10
00
10
10
00
00
00
00
01
01
10
01
01
10
10
01
00
10
11
00
00
10
10
00
10
11
10
10
10
10
10
00
00
10
10
10
00
10
10
11
00
00
10
00
00
11
10
10
00
10
01
01
00
10
10
01
10
11
00
01
00
11
11
10
10
00
01
00
00
10
11
11
01
11
10
00
11
01
01
11
10
00
10
00
01
10
10
10
10
00
00
10
01
10
10
10
11
00
10
01
10
11
00
11
00
10
01
00
01
10
10
00
00
00
10
11
10
01
10
11
10
10
10
01
10
10
01
01
01
00
00
10
11
00
00
00
10
10
01
00
10
11
00
00
10
11
00
10
10
00
00
00
01
10
10
01
10
00
00
01
10
10
11
00
11
00
11
10
11
01
00
11
10
10
11
01
00
10
10
01
10
11
00
01
00
10
11
10
11
01
00
10
00
00
01
10
11
01
00
01
10
11
01
10
00
10
11
01
00
10
00
01
10
00
00
11
10
10
00
00
00
01
11
00
10
00
00
11
00
11
10
01
01
00
01
00
10
10
10
00
10
01
11
00
00
00
11
01
11
01
01
00
00
11
00
11
11
01
00
00
01
00
11
01
01
10
11
00
10
00
00
11
10
10
01
10
10
10
00
11
10
00
11
00
00
10
11
10
00
00
00
00
01
10
11
00
00
11
10
01
01
00
10
00
10
11
00
01
11
10
11
01
00
00
00
00
00
10
11
10
11
01
00
00
00
10
10
11
10
01
00
11
10
11
01
11
11
00
01
01
10
10
10
01
00
10
11
01
00
11
01
11
00
11
00
00
10
10
11
00
00
11
10
00
10
10
00
01
11
11
10
00
10
01
00
00
11
11
10
00
10
10
00
10
01
10
01
00
10
01
00
01
10
10
01
11
11
01
00
11
11
10
10
00
00
10
10
00
00
00
00
10
10
10
00
11
00
11
00
00
10
00
01
10
01
00
00
10
10
10
00
10
10
10
00
00
10
00
00
01
10
00
00
00
10
11
00
11
00
01
01
01
10
10
10
01
00
10
00
10
10
10
00
00
00
00
00
10
01
11
11
01
10
00
11
11
00
11
10
01
00
01
00
10
00
10
00
10
10
00
10
10
01
01
00
11
10
00
11
10
10
01
01
10
10
00
11
01
01
10
10
10
10
10
00
10
11
10
00
10
10
11
10
11
00
01
01
00
00
00
10
11
00
01
10
11
01
11
00
00
01
00
11
10
10
10
11
11
11
10
01
00
10
11
01
00
10
01
01
01
11
00
00
11
00
10
10
00
10
10
00
01
01
10
10
01
00
10
01
10
01
10
10
00
00
10
00
11
10
11
11
10
11
11
11
10
11
00
00
00
10
00
00
01
10
10
00
00
10
00
00
10
00
10
10
00
00
00
00
11
00
01
11
00
10
11
00
10
01
00
01
00
10
10
10
10
10
10
00
11
00
01
01
10
10
00
00
00
11
10
10
11
00
11
00
01
10
00
00
00
00
11
00
01
00
10
10
00
00
10
00
11
10
00
00
00
10
11
00
01
01
10
00
10
01
01
01
10
00
00
00
00
00
00
10
00
10
01
11
00
10
00
01
10
10
00
10
00
10
11
00
00
00
10
00
11
10
10
01
10
11
00
11
10
01
10
01
00
11
11
00
10
10
01
00
11
11
00
10
00
10
10
10
01
01
10
10
00
00
01
10
10
01
00
00
00
11
00
00
10
10
00
01
00
11
10
00
00
10
11
11
10
00
10
00
11
01
00
11
10
10
01
00
10
10
00
01
10
10
00
00
11
00
10
10
00
00
00
10
11
00
00
01
10
10
00
00
10
10
00
10
00
00
01
10
10
00
00
10
01
01
01
01
01
01
10
10
11
00
00
11
11
10
01
01
00
00
10
11
11
01
00
00
10
00
00
10
10
01
00
10
01
00
11
00
10
10
11
11
00
01
11
00
00
10
01
01
10
10
10
00
00
11
00
00
00
00
00
10
00
10
11
01
00
11
10
01
01
00
10
00
10
00
00
11
00
00
00
01
00
00
01
11
10
00
10
10
10
00
11
10
10
00
00
01
11
10
11
11
00
00
00
11
11
10
01
00
01
10
10
10
10
00
01
00
10
10
00
10
10
00
00
10
11
10
10
00
11
00
10
00
00
10
11
10
01
10
01
00
10
10
00
10
10
00
10
00
10
10
10
10
01
01
11
11
10
10
00
00
10
00
01
10
00
01
11
00
01
10
10
00
10
10
01
10
10
00
01
11
00
00
00
00
10
00
10
10
01
01
10
00
00
10
10
10
10
00
01
10
10
10
11
10
10
01
00
10
00
00
01
10
11
11
11
10
10
11
00
11
00
01
10
01
00
10
00
11
10
01
11
00
00
11
00
01
00
11
10
00
01
00
01
00
01
10
10
01
01
11
10
00
00
00
00
00
00
01
10
00
10
01
10
00
11
10
00
00
11
01
00
00
10
01
11
10
00
01
10
00
10
10
10
00
10
01
10
10
00
01
10
00
00
01
10
11
00
00
11
10
10
10
10
00
00
10
01
10
10
00
00
11
00
01
11
11
10
00
00
10
10
00
10
00
11
00
00
10
10
01
10
10
10
00
10
01
11
00
10
11
01
10
10
00
00
10
00
10
10
11
00
10
01
00
00
11
00
10
00
01
10
01
10
11
11
00
11
11
11
01
10
10
00
10
10
10
00
10
01
10
01
00
10
01
00
10
01
01
01
10
00
00
00
10
10
11
01
10
00
11
11
11
10
00
10
00
11
00
10
11
11
00
01
01
00
10
00
00
10
01
10
11
11
01
11
10
00
00
11
00
01
10
10
10
00
10
01
10
01
00
00
01
10
01
00
11
10
00
00
10
00
00
11
01
01
10
00
00
10
00
00
01
10
00
00
00
00
00
00
00
10
10
00
10
10
10
00
01
00
01
00
01
00
11
10
00
11
10
10
00
00
10
01
01
01
01
11
01
01
10
10
10
00
00
11
11
01
00
00
01
01
10
11
11
01
10
10
10
00
01
00
00
10
00
00
01
10
10
00
00
00
00
10
11
10
10
00
10
10
10
01
10
01
00
01
00
11
01
10
11
00
10
00
01
10
01
01
00
00
00
10
10
00
10
01
00
11
10
01
00
11
01
10
10
00
11
00
01
11
00
10
01
00
11
10
10
10
01
00
11
00
00
00
00
10
10
11
00
10
01
01
11
10
10
10
11
00
01
01
10
10
01
00
00
00
10
11
01
10
10
01
11
10
01
10
10
10
01
01
10
00
01
10
10
00
11
10
11
10
10
00
01
10
00
00
10
00
00
01
00
11
01
00
00
10
10
00
00
10
10
10
11
10
11
10
11
00
01
01
00
10
11
10
11
01
00
11
01
01
00
00
01
00
11
10
10
01
10
10
01
00
10
10
00
01
00
00
10
10
00
10
10
00
10
11
00
00
10
10
00
01
00
01
10
10
00
00
01
11
11
01
00
10
10
10
10
10
00
01
11
10
01
01
01
10
01
00
01
10
10
11
01
01
00
11
00
10
01
01
11
10
01
01
11
00
00
00
10
10
00
10
10
00
01
10
00
01
00
01
10
01
10
11
00
10
10
00
00
10
01
01
10
11
10
11
00
11
10
01
00
10
11
00
11
10
01
11
10
10
11
10
00
10
10
00
01
00
10
00
00
10
01
00
00
00
10
10
00
10
00
00
11
00
01
00
10
11
01
00
10
10
10
01
10
00
00
00
10
00
11
10
10
11
01
01
00
11
00
10
11
11
01
10
01
00
01
00
00
10
10
10
01
00
10
11
10
10
10
10
01
11
10
10
00
00
00
10
11
00
10
00
10
10
01
01
10
00
01
10
11
10
01
11
10
11
11
01
00
00
10
01
00
10
10
00
01
11
10
11
10
00
00
10
01
00
10
10
10
01
00
10
10
00
00
10
00
10
10
01
10
01
00
01
10
00
11
00
10
10
10
10
11
10
11
00
00
11
01
10
01
01
00
10
10
10
00
10
11
00
11
01
11
00
01
01
10
10
00
00
11
01
11
11
10
01
11
11
11
01
00
10
10
10
01
00
10
11
00
00
00
00
01
10
10
11
11
00
00
01
00
00
10
10
00
10
11
00
11
01
10
11
00
11
00
00
10
10
10
11
10
00
10
00
00
00
00
10
10
00
10
10
11
01
00
01
01
10
00
10
00
10
10
00
10
10
01
10
01
00
00
10
11
10
11
10
01
10
01
00
10
10
10
10
00
10
01
10
11
11
01
00
01
00
10
01
00
10
10
10
00
00
11
00
00
10
00
00
10
10
10
10
10
00
10
10
10
00
01
10
11
10
10
00
00
00
11
00
01
00
10
10
10
00
01
11
10
01
00
00
10
00
00
01
00
10
11
01
00
11
11
11
11
10
01
01
11
10
01
00
11
11
00
11
10
10
10
01
01
10
11
01
11
00
10
00
11
10
00
10
00
00
11
11
00
01
00
10
11
00
01
10
11
10
10
00
00
10
10
01
10
10
10
10
10
11
00
01
11
10
01
10
00
01
00
10
10
10
00
10
10
00
01
11
11
10
00
00
10
10
00
11
00
10
10
01
00
00
11
11
11
00
10
00
10
00
01
00
11
10
10
11
10
10
11
10
01
00
00
01
00
00
10
10
01
00
00
10
10
00
10
11
10
10
00
01
00
01
10
00
00
10
01
01
00
10
10
11
00
00
01
11
00
00
10
11
11
00
11
10
00
00
00
10
10
01
00
00
10
00
11
01
11
11
00
00
11
01
10
00
01
10
01
10
10
10
00
00
10
10
00
11
10
01
00
10
00
00
10
00
11
10
01
01
00
00
10
10
01
00
10
10
00
00
10
00
00
00
00
10
00
00
00
11
01
11
01
10
01
10
10
00
00
11
11
01
10
01
00
01
10
10
11
01
11
11
00
11
00
00
11
00
00
11
10
10
00
11
10
01
00
10
10
00
00
00
00
10
01
10
01
10
10
10
10
11
00
11
10
00
00
00
10
00
10
10
11
10
11
00
00
00
10
01
00
10
10
11
00
00
00
01
11
10
01
01
01
11
10
11
00
00
10
10
10
11
00
00
00
10
00
01
10
00
10
00
00
00
10
11
01
01
00
00
01
10
00
00
10
10
00
00
11
00
11
10
00
00
11
10
11
10
00
11
00
11
10
00
00
01
00
10
00
01
01
11
10
00
00
00
00
10
11
00
00
00
00
01
10
00
00
10
10
10
11
10
01
01
00
10
10
00
01
10
10
01
10
00
00
10
10
11
10
01
01
10
00
00
01
10
01
00
10
00
11
10
00
00
10
11
10
10
01
01
01
00
10
00
11
00
01
00
10
01
10
10
10
00
00
10
10
01
11
10
00
00
10
01
00
11
11
10
11
00
00
00
00
10
00
01
00
00
10
11
01
00
00
11
10
10
01
00
00
10
10
10
11
00
00
11
10
00
10
10
10
00
10
11
00
11
00
10
00
00
00
10
00
00
10
01
10
11
00
00
00
00
10
00
10
10
10
01
01
10
00
00
10
00
10
10
10
00
11
11
00
10
00
00
10
10
00
00
10
00
00
10
10
10
00
10
11
00
00
00
00
10
10
01
10
00
10
00
10
01
11
10
00
00
00
01
10
10
00
10
11
10
11
00
11
00
10
00
00
10
01
10
10
00
11
00
10
10
00
01
11
10
11
11
10
01
00
00
00
11
10
11
01
00
11
11
11
00
01
01
10
00
01
11
00
01
10
10
00
00
00
00
11
10
10
01
10
00
00
10
10
00
00
10
10
10
10
11
00
10
11
10
10
01
01
10
10
00
01
11
10
01
11
10
00
00
00
10
10
00
11
11
11
11
10
00
01
00
10
10
11
00
00
11
00
01
11
11
00
00
10
10
00
01
10
00
01
11
10
11
10
10
00
10
10
01
00
10
00
00
00
00
01
10
10
00
10
10
10
10
11
00
01
01
00
10
01
10
01
10
11
00
00
01
00
11
11
01
01
01
00
00
00
11
00
10
11
00
00
00
01
11
10
00
00
01
10
00
11
11
00
00
00
10
00
10
10
01
00
10
10
10
10
11
00
00
11
01
10
00
00
00
11
00
11
00
10
10
10
11
00
00
00
10
01
10
01
00
01
11
10
10
10
00
01
10
00
10
00
01
10
01
10
00
11
10
11
10
01
00
01
11
11
01
00
10
01
00
10
11
10
01
10
11
00
00
11
11
10
01
00
00
00
10
10
00
00
10
00
10
00
10
01
01
01
00
11
00
01
11
10
00
01
00
10
10
01
10
10
00
00
10
10
00
10
00
00
11
01
10
00
10
01
00
10
00
00
10
00
00
11
10
00
00
10
00
10
10
10
10
11
01
00
10
01
00
11
01
11
00
00
01
10
10
00
01
01
01
01
01
00
00
10
10
00
01
11
10
01
00
00
00
10
00
00
10
10
10
10
00
10
00
00
00
00
10
10
11
00
10
00
00
01
10
10
00
01
10
10
00
10
11
00
11
01
10
10
01
10
10
10
10
00
00
11
11
01
01
01
10
10
01
00
01
10
10
11
11
11
00
11
10
01
11
00
00
10
10
01
10
10
00
00
00
10
10
01
01
01
01
10
00
10
00
00
00
10
10
00
01
00
11
01
00
10
00
00
00
00
10
10
00
10
11
10
00
01
00
00
10
10
00
00
01
10
00
11
10
10
10
11
01
00
10
10
00
00
01
00
10
00
01
10
01
00
10
10
01
10
10
00
00
01
01
10
00
00
10
00
10
10
00
00
00
10
10
10
10
01
00
01
10
11
01
11
01
10
00
00
10
10
11
10
00
10
10
10
00
00
00
11
11
11
11
00
10
10
10
10
10
01
00
10
10
10
10
01
00
00
00
00
00
10
01
01
10
11
00
01
10
00
10
00
00
10
10
00
00
01
00
10
00
10
00
10
00
00
00
11
11
00
00
01
01
00
10
11
11
11
01
10
10
01
00
10
11
00
01
10
01
10
00
01
00
00
11
10
00
11
10
11
01
10
00
00
10
11
00
00
01
10
01
00
10
11
10
11
10
10
10
11
10
00
10
10
10
10
10
10
01
10
10
11
10
10
00
00
00
10
00
11
10
01
00
11
11
11
10
01
11
11
00
01
10
01
00
11
00
00
11
10
01
01
00
11
11
10
10
10
01
00
11
01
10
10
10
10
11
01
00
11
00
01
10
10
00
01
11
10
10
00
00
00
10
10
10
10
01
10
10
00
01
01
10
10
01
01
10
01
11
11
01
00
10
10
11
00
01
10
11
01
10
11
00
00
11
10
10
00
00
10
10
11
01
10
00
10
10
00
10
00
01
11
01
00
00
11
00
10
10
00
00
10
00
11
00
01
10
00
00
10
11
00
10
11
00
00
00
10
00
11
10
11
11
10
10
11
10
10
00
00
00
11
10
00
10
10
10
11
10
00
01
00
10
10
00
10
10
00
00
10
10
11
10
11
00
00
00
10
10
10
00
10
01
00
10
00
10
00
10
11
00
01
10
10
10
11
01
10
10
00
00
00
10
10
10
00
11
11
00
01
01
10
00
11
10
00
00
10
10
11
00
01
01
01
11
00
00
11
01
00
00
10
10
00
00
01
10
11
10
01
11
01
11
10
10
00
00
00
00
10
00
10
00
01
00
11
01
10
10
10
10
01
10
00
01
11
00
10
10
00
00
10
10
11
10
11
11
00
00
01
01
00
01
10
11
10
00
11
00
11
11
10
00
00
10
10
10
00
00
10
11
10
00
10
10
10
11
00
10
00
01
01
01
00
10
10
01
00
11
11
00
00
00
10
10
10
11
00
01
00
10
10
10
00
01
01
01
01
00
11
00
00
10
00
00
01
10
10
00
00
10
01
00
01
00
00
10
10
00
11
01
01
00
11
00
00
00
01
10
10
00
00
10
10
00
11
01
00
00
10
00
00
00
10
10
00
10
10
10
00
00
00
10
10
10
11
10
10
10
01
01
01
00
00
10
11
10
11
11
00
00
11
10
01
11
10
00
10
10
10
00
00
00
01
10
00
10
00
10
10
00
10
10
00
10
10
01
10
10
11
10
10
10
00
01
11
00
10
00
10
01
00
11
01
00
00
11
00
01
11
00
10
10
01
11
11
10
00
00
00
10
01
00
10
01
10
01
00
11
10
11
00
10
11
00
10
00
01
10
01
01
00
10
10
00
00
00
01
10
00
00
10
11
00
01
11
11
00
11
01
10
00
00
00
10
11
10
11
01
00
00
00
01
10
00
00
01
10
01
11
11
11
00
01
10
01
00
00
10
00
11
00
00
11
10
01
11
10
10
10
10
00
10
00
00
10
00
00
00
10
11
10
01
00
10
10
01
11
00
10
11
10
00
01
10
10
00
00
10
11
00
00
01
00
11
10
11
10
01
00
10
10
00
11
00
11
10
00
11
11
11
10
01
01
10
10
00
10
11
10
01
00
00
00
10
10
11
00
01
00
10
10
10
00
10
01
00
11
00
10
10
10
00
01
01
10
00
00
01
01
10
00
11
00
00
00
00
11
00
10
11
10
00
01
10
01
01
00
10
00
00
11
11
00
10
01
00
01
00
11
10
10
00
00
11
10
01
00
10
01
00
00
01
10
10
10
00
00
10
10
10
00
00
00
00
11
10
10
00
10
00
10
10
00
00
10
00
00
10
10
10
10
10
10
00
10
10
10
00
00
00
00
10
01
10
00
00
00
10
00
10
00
00
10
00
00
10
11
10
01
10
01
01
00
11
00
10
11
00
00
10
00
00
10
11
11
00
10
01
01
00
10
10
00
10
00
11
00
01
00
10
10
00
00
10
10
00
11
11
00
10
10
00
00
01
10
10
00
00
01
10
11
01
01
01
10
10
10
00
00
10
11
01
00
11
11
11
00
00
00
00
11
11
00
01
11
11
10
00
01
10
11
00
00
10
10
00
11
00
01
10
00
01
10
11
10
01
00
10
00
10
10
10
11
00
00
00
10
00
11
11
00
11
01
10
10
01
10
10
00
01
01
10
00
00
00
11
11
11
10
10
00
10
00
11
00
00
10
01
11
00
11
10
11
10
00
00
10
10
11
00
00
00
00
10
00
10
00
00
10
00
01
10
10
00
01
01
01
10
10
01
00
10
00
10
11
00
10
00
11
00
01
00
10
10
11
10
01
00
10
10
10
00
01
10
11
00
11
01
11
00
10
11
00
01
01
11
01
01
10
11
10
00
10
10
00
00
00
11
10
10
01
00
11
11
10
00
01
10
00
00
00
00
10
11
11
01
00
11
10
01
00
10
10
00
10
10
00
01
01
11
10
00
01
01
01
11
11
01
01
10
00
10
10
01
01
10
11
00
00
01
11
01
00
10
10
10
00
10
00
01
10
01
01
11
10
00
10
00
10
10
10
10
10
00
01
00
01
11
10
10
10
11
00
10
11
00
11
10
11
00
10
11
10
10
00
00
11
00
00
01
10
01
00
10
01
10
00
10
10
10
00
00
00
11
00
00
00
00
11
00
01
10
10
01
10
10
00
11
11
10
01
00
01
00
10
10
00
00
11
10
01
10
10
01
10
00
01
10
10
10
11
01
01
11
00
00
11
11
00
11
11
00
10
10
00
01
11
01
10
11
11
10
11
10
10
00
01
10
11
10
00
10
01
00
11
00
00
01
11
10
00
01
10
10
10
01
10
00
11
11
01
10
10
00
00
00
00
00
10
11
10
10
10
10
00
00
00
00
11
10
11
11
00
00
00
00
11
00
00
10
00
00
10
00
00
00
11
00
00
00
00
10
11
10
10
10
00
10
00
11
11
00
01
10
10
11
01
01
11
11
00
01
01
00
01
10
11
00
00
11
11
00
01
00
11
01
11
11
00
00
10
01
10
11
01
00
00
11
01
10
10
01
11
01
01
01
01
10
00
00
11
11
00
00
00
10
10
00
10
10
11
10
11
00
11
01
11
11
00
10
10
00
00
10
01
11
11
00
10
10
01
10
10
11
00
01
11
01
01
10
11
00
01
10
11
00
10
00
00
11
11
01
01
00
10
10
10
00
00
11
11
11
00
10
00
10
11
00
11
10
00
10
00
01
11
00
01
10
10
00
10
11
11
10
01
11
10
00
11
11
00
10
10
00
00
00
00
10
00
10
11
10
00
10
01
10
10
11
01
00
00
01
10
11
00
11
11
10
00
00
10
10
10
00
00
10
00
00
10
01
00
10
00
00
10
00
00
10
00
11
00
00
11
00
10
10
00
00
11
00
00
00
00
01
01
01
01
00
10
11
10
00
11
10
00
01
01
10
00
10
00
00
01
00
10
10
10
11
00
01
01
00
10
00
10
10
01
11
10
10
01
11
10
00
00
10
10
11
00
00
10
11
11
01
00
10
11
01
01
10
01
01
10
00
10
11
00
00
11
11
00
10
11
10
00
10
00
01
01
01
10
00
10
10
00
01
00
10
00
01
10
10
00
00
00
01
00
11
10
00
01
10
00
00
00
10
11
00
01
11
10
00
10
01
01
10
10
10
10
10
01
00
10
00
00
00
01
10
00
11
10
00
11
10
00
10
11
00
00
00
10
10
01
01
10
10
10
00
00
00
10
11
11
00
00
10
01
01
00
00
11
00
00
00
10
10
10
00
00
00
11
00
00
01
00
11
11
01
11
11
10
10
10
00
00
10
10
01
01
01
11
10
00
00
00
10
10
10
00
00
11
10
00
11
00
00
00
10
11
11
00
00
00
00
00
00
00
10
10
00
00
11
01
00
01
00
01
10
10
00
00
11
10
10
00
10
10
00
00
01
00
10
00
10
10
11
10
00
10
10
00
10
10
00
01
10
11
00
11
10
11
00
01
00
10
10
00
00
11
10
10
00
01
10
11
00
01
00
10
11
11
01
00
10
10
11
00
00
10
10
10
00
01
00
11
11
10
00
11
11
00
00
00
11
11
01
01
00
10
11
10
10
01
10
10
00
01
10
10
10
00
10
11
10
10
00
00
10
00
01
10
01
10
01
11
01
00
11
10
01
00
10
01
00
00
11
10
01
00
00
11
10
10
10
00
00
00
10
10
10
00
01
00
10
11
11
10
00
10
00
11
01
10
11
10
10
01
11
10
00
00
10
10
00
00
10
10
01
11
10
10
10
11
11
01
00
00
00
01
10
11
10
10
00
00
01
10
10
00
11
00
10
00
10
10
01
10
10
01
00
00
01
00
01
11
10
10
00
10
00
11
00
01
10
11
10
10
10
10
10
00
10
00
11
10
11
10
01
00
11
11
00
00
10
10
11
00
00
10
11
01
00
00
11
10
00
10
01
00
11
11
01
01
11
11
00
10
10
11
00
00
10
00
10
11
00
00
00
10
10
00
10
01
10
00
00
00
11
10
00
01
10
11
00
00
10
10
01
11
10
01
11
00
10
00
00
10
10
10
10
00
10
10
10
10
11
11
00
00
00
10
10
10
00
00
11
01
01
11
00
00
00
10
10
00
00
11
11
01
11
10
10
00
10
00
00
11
11
00
11
11
01
00
10
10
00
00
10
10
00
00
10
00
11
00
01
11
10
11
00
10
10
10
00
01
01
10
10
11
00
11
11
00
00
10
00
01
00
10
11
11
00
11
00
00
11
00
10
10
10
01
10
10
00
01
10
00
01
10
00
01
10
00
10
11
01
00
10
00
10
11
01
11
10
00
10
10
11
00
00
10
00
10
01
10
10
00
00
00
10
00
10
10
01
01
11
11
10
01
11
10
01
01
11
10
10
00
01
11
10
01
00
10
10
11
01
01
10
10
01
10
01
00
11
10
01
10
11
00
00
11
10
00
00
00
01
01
00
11
01
01
00
00
10
11
00
00
00
00
00
00
01
11
10
10
00
00
00
00
10
01
10
11
11
00
00
10
10
00
10
11
01
01
11
10
00
10
00
11
10
00
00
00
00
00
00
10
10
11
10
10
10
00
00
10
11
00
01
00
11
11
01
01
11
10
00
10
10
01
01
11
10
11
10
00
11
10
00
01
01
10
00
10
10
10
01
10
11
01
10
10
00
00
00
10
10
00
00
10
11
00
00
11
10
01
01
10
10
00
11
10
10
01
00
10
10
00
01
11
11
11
11
00
00
11
10
10
00
00
10
11
00
11
11
00
01
11
11
01
00
10
10
10
00
01
10
00
00
11
10
10
00
10
10
01
11
10
00
00
10
11
00
11
01
10
00
10
10
00
10
10
00
00
10
10
00
00
00
11
11
00
10
00
10
10
11
00
00
10
10
00
01
11
11
00
01
01
11
10
01
00
10
00
11
00
00
01
10
00
10
10
10
10
10
01
00
10
11
10
01
10
00
00
01
10
10
00
00
11
00
00
11
10
00
00
01
00
10
10
01
00
11
00
00
10
00
00
00
10
11
11
01
00
11
00
11
01
01
00
11
10
00
11
10
11
00
00
10
10
10
00
11
01
00
10
00
00
00
11
00
10
01
10
00
00
10
01
00
00
11
00
00
10
00
00
00
10
11
10
10
01
10
00
01
11
10
01
10
10
11
01
10
11
00
00
11
00
01
11
10
00
01
00
00
01
10
10
11
11
00
11
10
11
00
11
00
01
01
10
01
00
10
10
00
01
10
10
00
11
11
00
00
10
10
10
00
00
01
00
11
11
11
00
00
11
00
10
10
00
01
01
01
11
10
00
11
10
01
01
11
00
11
10
01
10
10
00
10
10
01
01
00
10
11
00
11
11
10
10
00
01
10
00
00
10
10
00
01
00
00
10
00
00
01
10
01
11
10
10
00
10
00
00
11
10
00
11
00
00
10
10
10
10
10
10
11
10
00
00
01
00
01
10
11
01
10
00
01
00
11
10
11
00
00
11
01
11
11
01
00
10
10
00
01
00
10
10
10
00
10
11
00
10
11
01
00
01
00
00
10
00
11
01
10
10
00
01
10
00
11
10
01
11
10
01
00
00
00
00
11
00
00
10
10
00
10
11
00
11
10
10
10
10
10
01
10
11
01
00
10
10
00
00
10
10
10
01
00
10
11
10
01
10
00
10
11
01
00
00
10
01
01
00
01
10
11
10
11
10
10
00
01
00
00
11
00
11
11
00
10
10
00
01
00
10
10
11
00
10
01
00
11
10
10
00
10
11
00
10
10
10
01
10
00
00
10
10
01
10
00
00
10
00
11
10
10
11
01
00
00
01
00
10
10
01
00
01
00
00
01
11
10
00
00
10
11
00
00
00
11
00
01
01
10
01
00
10
10
01
00
11
00
00
00
00
11
10
01
00
10
10
00
10
01
10
11
10
00
00
10
11
10
01
00
11
10
10
00
00
00
10
10
00
00
10
11
01
10
01
11
00
11
11
01
00
11
10
01
10
11
00
00
10
00
11
10
10
01
10
10
11
11
10
10
10
01
10
01
00
10
00
01
01
00
11
10
00
10
10
00
00
10
10
11
00
00
01
00
10
00
00
00
10
00
01
01
11
10
11
01
11
10
10
10
00
01
10
00
10
10
00
10
00
00
00
10
01
00
10
10
00
01
00
01
11
10
10
10
11
01
11
10
00
00
10
01
10
01
10
01
00
00
10
10
11
00
00
10
00
01
00
00
10
00
11
01
11
00
10
10
10
00
10
10
00
10
10
11
01
10
01
10
01
00
11
01
10
11
10
00
00
01
00
00
00
01
00
00
01
10
10
10
00
11
00
00
11
01
00
10
01
10
00
11
10
00
01
00
00
10
01
10
11
10
11
00
10
10
01
11
11
11
00
00
01
00
11
11
00
00
11
10
00
01
10
10
10
10
10
01
00
00
10
10
01
00
10
10
00
01
10
00
00
11
11
00
10
00
11
10
00
01
10
01
00
01
10
00
10
00
00
00
10
10
10
01
10
00
00
11
00
10
10
00
00
00
11
00
10
10
00
11
10
10
10
01
10
00
00
10
00
01
11
10
11
00
10
10
00
10
10
01
00
00
11
00
11
10
00
00
10
00
00
10
10
10
00
00
01
01
00
10
00
00
10
00
10
10
10
10
01
11
00
10
01
10
00
01
00
00
10
11
00
01
10
01
10
10
11
10
01
11
01
00
10
11
00
11
11
10
00
00
00
10
00
00
00
10
11
10
10
10
10
00
00
01
01
11
00
11
10
01
11
00
11
11
00
00
01
10
10
10
00
11
10
00
00
11
11
10
00
01
10
01
00
11
00
10
00
01
10
00
10
10
10
01
00
00
00
01
10
10
01
10
10
01
01
10
00
01
01
11
01
10
10
10
01
00
11
00
01
11
10
01
00
10
11
10
00
00
10
00
00
11
10
00
10
10
01
00
10
10
11
10
11
10
00
00
11
11
00
10
01
00
01
10
00
00
10
11
11
10
00
00
11
01
10
00
00
10
11
10
01
11
11
00
00
10
00
01
10
11
11
01
00
11
10
10
01
10
00
10
01
00
00
11
10
10
00
10
00
11
01
00
00
11
01
00
10
11
00
00
11
10
00
00
11
00
01
00
10
11
10
11
00
10
10
01
00
11
00
10
10
10
00
00
10
10
01
11
10
10
10
10
10
11
10
01
00
00
01
10
10
00
00
11
00
10
01
01
00
10
10
10
10
11
00
00
00
01
10
00
01
10
11
01
00
10
00
01
11
00
00
00
10
00
00
10
00
00
10
10
00
00
10
01
00
01
10
00
10
10
10
01
10
10
10
00
00
11
00
00
00
00
00
10
10
01
00
01
00
00
00
11
10
11
10
10
00
01
00
00
11
00
10
10
00
00
00
11
00
01
10
01
00
00
00
11
10
10
00
01
00
00
00
10
10
01
00
00
00
11
01
00
10
00
11
11
10
10
00
11
10
10
01
00
10
00
11
10
00
10
10
10
00
00
00
00
01
10
01
10
00
11
10
10
00
01
10
10
00
00
01
10
10
11
00
00
00
10
10
11
00
10
10
00
00
10
10
10
10
10
10
11
00
11
10
00
00
10
01
11
00
00
10
10
01
00
11
10
00
10
01
00
00
10
11
10
00
10
11
00
10
01
00
11
10
00
10
11
11
10
11
11
10
11
00
00
00
10
11
00
01
11
10
00
01
01
00
10
11
11
10
01
11
10
01
00
00
01
10
10
10
11
00
01
10
10
10
00
11
11
10
00
11
10
00
10
00
00
00
11
11
10
10
00
11
10
00
10
01
00
00
00
11
10
00
11
01
01
11
11
11
00
00
10
11
00
10
11
01
10
10
00
10
00
10
10
00
10
10
01
01
11
00
10
00
00
00
10
10
01
00
00
11
10
00
00
10
10
01
00
11
11
11
01
00
00
00
10
00
00
10
11
10
01
00
00
00
11
00
00
01
10
00
01
00
10
01
10
11
11
10
10
00
10
10
10
00
00
10
00
11
10
10
10
00
10
10
00
00
11
01
10
11
01
00
10
01
00
01
01
10
10
11
10
01
10
10
00
00
10
10
00
10
00
11
01
01
10
10
00
10
10
11
00
00
01
01
11
11
11
00
11
11
10
10
00
01
00
10
11
10
11
00
01
01
00
00
11
11
11
00
01
10
00
10
00
00
10
10
00
11
10
00
11
10
10
00
00
00
00
00
10
10
11
10
10
10
11
00
01
01
10
01
00
10
00
11
10
10
00
11
11
01
01
00
10
01
01
11
01
00
10
10
00
11
11
00
01
10
11
10
00
10
01
01
00
11
00
11
00
10
10
00
11
01
10
10
00
01
00
01
11
10
10
00
10
11
00
00
10
11
01
01
10
00
11
10
11
00
00
00
00
11
11
00
11
10
00
00
00
10
00
10
10
10
01
10
01
01
10
01
10
01
00
11
11
10
01
00
01
11
10
00
01
10
10
10
10
00
10
00
10
00
01
00
01
00
00
11
10
10
00
00
00
00
10
10
10
01
10
01
00
10
00
11
00
01
10
10
10
00
00
11
11
01
11
10
10
10
00
00
10
11
00
00
00
00
10
00
01
01
10
10
11
10
10
10
10
00
00
00
10
00
00
00
00
10
10
01
11
01
11
10
10
01
00
01
00
11
00
10
10
10
00
01
00
11
00
00
10
00
10
11
00
00
00
01
00
00
10
11
10
01
00
10
00
00
10
01
11
10
10
10
11
00
11
11
11
00
00
11
11
00
01
11
10
01
00
00
10
10
00
10
01
00
11
00
01
00
00
10
10
01
00
00
11
00
11
01
10
11
00
01
10
10
01
00
10
10
10
01
11
00
11
11
00
01
10
00
00
10
00
10
01
01
00
10
00
00
01
00
10
10
10
10
01
01
11
10
11
00
00
00
10
11
00
01
10
00
10
10
10
01
11
11
01
00
10
10
10
01
10
10
00
00
00
10
11
01
10
00
00
10
01
10
11
00
00
10
10
00
10
10
00
11
10
01
10
10
00
10
00
01
00
11
10
10
00
01
00
00
10
01
00
11
10
10
10
00
10
10
00
10
10
00
10
10
00
10
00
00
10
10
10
00
10
00
00
10
10
10
10
11
11
01
01
01
10
11
10
00
00
00
10
10
10
00
00
10
01
00
10
00
00
10
00
01
01
01
00
10
01
01
10
10
10
00
11
01
00
10
10
01
10
00
11
10
01
00
11
10
10
00
01
11
00
00
10
11
10
10
01
01
01
10
10
11
00
01
10
01
01
10
10
10
00
10
10
00
00
10
10
00
00
10
00
10
01
10
11
01
01
01
01
10
10
00
00
10
10
00
01
11
00
00
00
10
10
01
00
11
11
00
11
11
01
10
10
00
10
10
01
00
00
00
00
10
00
01
01
00
10
10
10
10
10
00
10
10
11
00
11
00
10
10
10
10
00
00
11
00
10
00
00
10
00
00
11
10
10
00
00
00
10
10
10
10
10
11
00
11
00
10
00
11
11
01
01
10
01
10
10
10
00
01
10
10
11
10
01
10
11
00
00
11
11
01
00
10
00
00
10
11
11
00
00
11
00
10
01
01
11
00
00
00
00
11
00
11
10
00
01
10
10
10
01
11
10
10
10
10
10
10
10
00
00
10
10
11
01
01
00
10
00
11
00
10
00
00
11
11
11
10
00
00
11
10
00
01
10
11
01
01
10
10
10
00
01
00
01
11
00
01
00
10
11
10
01
01
00
01
10
10
10
00
00
10
10
01
10
10
01
00
11
00
10
10
10
00
11
00
00
10
00
10
10
10
10
10
00
10
01
10
10
01
11
11
10
10
10
00
00
10
01
00
11
10
11
00
00
10
10
00
00
01
10
11
11
10
01
00
01
00
10
10
11
00
00
00
01
00
11
01
10
11
00
01
11
00
00
10
00
01
01
11
01
01
01
10
11
01
10
00
00
00
11
01
01
11
10
10
10
11
10
00
10
11
10
00
00
10
10
00
01
00
01
10
00
00
00
10
10
10
01
01
10
00
10
10
01
00
00
11
00
01
00
00
00
11
10
00
00
00
11
11
10
10
01
00
00
00
00
10
10
10
11
11
01
00
00
00
11
00
00
11
10
10
11
00
00
00
10
10
00
00
01
10
10
01
10
01
01
10
10
11
01
00
11
11
00
10
00
00
11
00
00
10
10
10
10
10
01
10
00
00
01
10
11
00
01
00
10
10
00
00
10
10
00
10
10
11
10
00
10
10
01
00
11
10
01
00
00
11
10
00
00
01
10
00
10
00
11
00
11
10
10
00
00
00
11
10
00
10
11
01
00
01
00
11
00
11
11
11
01
00
00
11
11
01
11
00
00
11
00
10
10
00
00
00
10
11
10
10
10
10
11
00
10
00
00
10
10
10
00
00
10
00
11
10
00
11
01
10
10
00
00
11
10
10
00
10
00
10
00
11
00
00
11
11
10
01
00
11
11
00
11
01
00
00
11
11
11
10
00
01
10
10
01
00
10
00
11
11
00
11
00
00
11
01
11
11
00
11
01
10
00
01
10
10
11
00
00
01
00
10
00
00
11
11
01
00
10
11
00
00
01
10
11
00
01
00
11
00
10
00
00
10
11
11
00
11
10
01
11
10
01
00
10
10
01
00
01
00
10
11
00
11
01
00
10
01
00
10
00
00
10
10
11
01
10
11
10
01
00
00
00
01
00
10
00
00
10
10
00
00
10
11
00
01
11
00
10
00
00
10
10
00
01
00
10
01
10
00
01
10
01
10
10
10
01
10
11
11
01
01
10
00
00
01
00
10
11
00
10
10
00
00
01
00
01
01
10
11
00
00
00
01
11
11
01
00
00
00
00
11
11
01
10
11
00
11
10
11
10
00
11
10
00
10
00
10
10
01
00
11
00
00
00
11
10
00
10
11
11
10
01
00
00
11
10
01
00
01
00
10
10
00
10
01
00
10
11
10
10
10
10
00
10
11
01
10
10
10
01
10
10
00
10
10
11
10
01
00
11
10
10
00
00
11
11
10
00
10
10
10
11
01
01
10
01
01
00
10
10
01
01
10
10
10
10
00
10
01
01
11
00
00
00
00
00
11
00
01
00
01
00
00
10
10
01
11
11
11
11
00
00
00
10
10
01
01
10
11
10
11
00
10
10
00
11
11
10
11
00
01
00
00
10
10
10
00
00
01
11
10
01
10
11
01
10
10
01
00
10
10
00
01
10
00
00
00
00
10
10
01
00
01
00
10
00
10
10
11
10
01
00
01
00
11
00
10
10
00
00
00
01
10
00
00
10
00
00
10
10
10
00
11
10
11
10
11
11
00
11
01
10
10
10
01
00
11
10
10
00
11
10
10
01
00
10
10
10
00
00
10
10
01
01
00
11
00
10
11
01
01
10
10
11
01
10
10
01
00
11
10
00
10
01
10
11
00
11
10
10
11
00
01
00
11
00
10
10
10
11
00
00
11
10
11
00
00
00
11
01
10
00
01
00
10
01
00
00
00
11
10
11
11
01
10
11
00
01
11
10
11
10
11
00
11
10
01
00
10
00
00
10
10
10
00
11
10
10
00
10
00
11
10
01
11
11
00
01
01
10
10
01
00
10
00
11
10
00
01
10
10
00
01
01
11
10
01
00
11
01
10
10
00
00
10
11
00
10
00
10
11
10
00
00
00
11
10
10
00
00
00
10
00
10
11
10
01
00
10
01
10
00
00
10
10
11
00
00
11
10
11
00
11
00
00
00
10
01
01
00
10
10
01
00
00
10
10
00
01
00
11
10
00
10
10
00
10
10
00
11
10
00
00
00
10
11
10
00
00
10
10
01
10
10
11
11
00
01
00
10
00
10
01
10
10
00
11
11
11
00
00
10
10
10
10
11
00
11
00
00
10
10
11
00
00
10
00
00
01
01
10
10
10
00
00
00
00
11
10
00
00
10
11
10
01
10
10
10
11
00
00
00
10
01
00
10
11
10
11
00
00
00
01
10
01
00
11
10
00
00
10
01
10
01
01
00
01
10
11
11
00
00
00
00
10
10
00
01
01
11
11
00
10
10
01
00
10
00
00
11
10
01
10
10
01
10
10
10
00
00
10
01
01
10
01
00
10
00
00
00
10
10
01
01
10
00
00
11
10
01
10
10
00
00
00
10
11
00
10
01
10
10
11
00
01
10
01
01
00
10
11
00
11
10
01
00
00
01
10
01
00
11
10
10
10
11
10
00
00
10
01
01
10
00
10
10
00
00
10
10
11
10
10
00
01
00
00
01
10
01
01
00
00
01
10
10
01
00
10
00
00
10
00
01
11
10
01
00
11
01
11
10
01
10
10
00
00
01
10
00
01
10
00
11
11
00
00
00
10
10
00
01
00
10
10
11
00
11
00
00
10
10
00
01
11
10
00
00
11
01
10
11
00
00
10
01
11
10
11
00
10
00
10
01
00
10
01
00
10
00
10
10
10
00
00
10
10
00
11
10
10
10
11
00
01
10
11
11
00
10
11
01
00
10
11
11
01
00
00
01
10
10
01
00
11
00
00
10
10
10
00
00
10
01
10
10
01
10
11
11
11
01
00
00
10
00
01
10
01
00
10
00
10
10
01
00
10
10
11
10
00
01
00
00
10
11
10
10
00
10
01
01
10
00
01
10
11
00
00
10
01
10
11
01
00
01
10
10
01
01
00
10
10
00
00
01
10
10
10
10
00
10
01
00
10
01
11
10
10
01
00
10
10
00
10
00
11
10
10
10
00
00
01
00
10
11
11
00
10
00
10
10
00
11
01
11
10
00
10
00
10
00
00
10
00
00
10
10
00
00
11
10
01
01
10
00
11
10
00
00
10
11
10
11
10
00
00
11
10
10
00
10
10
10
00
00
00
11
01
10
10
00
10
11
00
00
10
00
10
01
11
11
11
11
01
00
01
10
10
00
01
00
11
00
11
10
10
11
00
11
10
01
00
01
01
10
11
11
10
01
01
00
10
10
00
00
01
10
01
11
11
10
10
00
10
10
01
00
10
10
00
00
00
00
00
10
10
10
00
01
00
01
11
10
01
00
01
00
00
10
10
11
11
11
00
10
10
10
10
00
00
00
01
10
10
00
11
00
10
01
00
11
00
00
01
00
01
00
00
10
11
10
11
10
00
01
11
10
11
10
10
00
00
10
00
10
11
10
01
00
00
11
10
00
10
10
01
00
10
00
10
10
01
11
10
00
11
01
01
10
10
01
01
01
10
10
01
00
10
00
10
10
01
10
00
01
00
10
00
11
11
11
00
01
00
10
10
01
00
01
00
10
00
01
10
10
00
00
11
10
00
00
00
11
01
10
00
10
10
00
01
01
10
11
01
00
00
01
11
11
00
00
10
01
10
00
10
10
00
10
10
11
10
01
00
11
01
00
00
01
01
10
10
01
00
10
11
01
01
11
10
10
10
00
01
10
10
01
00
10
10
10
00
01
10
11
00
11
11
00
10
10
11
00
11
00
01
10
01
10
00
00
10
10
00
00
10
10
00
10
11
11
10
10
00
10
00
00
10
00
10
10
10
00
00
10
11
00
11
00
10
00
00
11
01
00
10
11
00
00
01
01
10
01
10
10
00
00
01
10
00
00
10
00
00
10
10
01
11
11
01
00
00
10
10
10
10
01
00
10
00
10
11
01
00
00
00
10
10
01
10
11
01
10
10
10
00
00
11
10
11
10
01
00
11
00
00
10
11
01
00
00
00
01
11
11
00
11
00
00
00
00
00
00
00
10
01
10
00
01
01
11
11
00
10
11
10
10
00
00
11
00
01
10
01
10
10
01
00
10
11
11
00
01
10
00
00
00
11
01
00
10
01
10
11
00
10
11
10
10
00
01
10
00
00
00
00
10
00
01
11
10
10
00
00
10
10
00
10
00
11
01
10
10
01
00
11
10
01
10
11
00
10
10
01
10
10
10
00
01
11
11
10
00
01
10
10
11
00
01
00
00
00
00
10
10
01
10
10
10
01
10
01
11
11
10
10
11
01
00
00
01
00
00
11
01
00
10
00
01
01
11
10
11
00
10
00
10
10
00
01
10
00
00
10
00
10
11
00
11
11
00
00
00
11
10
11
00
10
11
01
00
10
00
01
11
01
00
01
00
10
10
00
10
00
10
11
10
10
01
10
10
10
10
00
10
11
00
00
10
00
10
00
10
00
11
01
01
10
00
00
01
10
10
01
00
10
10
00
11
10
00
00
11
10
01
00
10
00
00
11
10
00
01
00
00
01
01
11
00
00
11
00
00
10
01
10
10
00
11
10
01
01
00
00
00
11
00
01
11
10
00
01
10
11
10
00
10
00
01
10
10
00
10
00
10
10
10
11
01
00
11
10
10
01
00
10
00
10
01
10
11
00
10
00
00
11
10
00
01
10
00
11
00
01
01
00
10
11
10
11
11
00
00
01
10
00
00
10
10
01
11
01
10
11
10
01
10
11
00
00
00
00
10
10
00
10
11
10
00
01
00
01
00
11
10
00
11
11
11
00
01
10
01
11
10
11
00
01
10
00
00
00
01
10
11
01
00
01
00
11
01
01
11
10
10
01
00
10
00
01
11
01
10
01
10
10
10
10
00
00
00
01
10
00
11
11
01
11
10
00
10
01
00
10
10
01
01
10
11
00
00
01
10
10
11
10
10
01
11
11
10
01
00
00
00
01
10
11
00
01
10
10
10
00
11
01
01
10
10
00
00
11
00
00
01
11
10
00
01
00
01
01
00
10
10
10
10
01
00
11
10
00
10
11
00
00
10
10
01
11
10
00
10
00
11
11
00
10
01
00
01
11
10
10
11
00
10
00
00
10
10
11
01
00
10
10
10
00
10
00
00
11
00
01
10
00
10
10
10
00
00
10
00
00
00
00
10
11
11
00
11
10
11
00
11
11
10
01
00
00
10
00
00
00
01
10
11
11
10
00
10
10
00
00
10
10
10
00
01
11
01
01
00
10
10
00
11
00
01
10
11
00
01
11
00
00
01
00
11
11
10
10
00
00
10
00
01
01
10
01
11
01
10
00
00
10
10
00
00
11
10
10
10
10
10
00
10
01
00
10
00
10
01
00
10
00
11
11
10
11
10
10
10
00
11
10
10
01
00
10
01
00
11
01
11
01
11
10
10
10
00
11
00
00
00
00
10
00
00
00
10
10
11
00
01
11
10
01
01
01
01
11
10
00
00
10
10
01
00
00
11
00
00
01
11
10
11
00
10
11
01
00
10
00
00
11
10
00
01
10
10
00
10
01
00
11
10
00
11
00
10
00
00
10
01
10
11
10
00
00
10
00
10
01
00
00
00
01
00
11
10
11
00
10
01
00
10
11
10
01
00
00
11
01
00
00
00
00
00
00
11
01
11
00
00
11
00
10
00
10
10
10
00
10
11
10
00
10
10
00
11
10
00
10
10
10
00
00
10
00
10
10
11
10
00
00
01
10
00
01
10
10
01
00
01
00
11
10
00
00
11
00
10
00
00
00
00
10
10
10
10
01
10
10
10
00
10
00
00
10
10
00
00
10
00
01
01
11
00
01
00
00
11
00
10
11
01
11
01
00
10
10
00
10
00
01
10
10
10
00
00
11
00
00
00
01
11
10
01
10
11
00
01
10
00
01
11
00
11
10
01
11
11
11
10
10
01
10
11
00
00
10
10
10
00
01
11
00
10
10
01
01
01
10
01
10
11
00
11
00
00
01
10
10
11
01
01
11
10
10
01
01
10
11
01
00
10
01
11
10
01
01
00
11
11
00
10
10
00
00
11
11
00
10
00
00
10
01
10
11
10
01
00
11
10
00
01
10
10
00
00
11
10
11
11
00
01
00
10
00
10
00
11
11
00
00
10
11
11
00
00
01
01
11
10
00
11
00
11
01
00
10
10
10
10
10
10
01
00
10
00
00
00
10
00
01
10
00
00
10
00
00
01
10
11
00
10
00
00
10
00
11
10
10
10
10
10
10
00
01
01
11
10
10
10
10
10
00
01
00
00
00
10
00
00
01
00
11
11
11
10
01
01
10
00
11
10
01
10
00
10
00
11
10
10
01
01
10
00
11
01
11
00
10
11
11
10
10
10
01
10
11
01
00
10
00
10
10
00
00
01
00
00
11
10
10
01
01
10
00
10
10
00
10
11
00
00
10
00
00
10
01
01
00
11
11
10
11
00
11
00
10
11
11
00
10
01
00
11
00
10
10
10
00
00
10
00
10
10
10
10
10
00
00
01
00
01
11
10
00
10
00
10
10
00
00
01
10
01
11
10
10
11
10
10
01
01
11
11
10
10
11
00
10
10
00
00
00
00
00
00
00
11
00
10
11
10
10
00
10
11
10
00
00
00
01
00
10
00
00
10
01
01
00
01
10
11
10
01
00
10
10
00
01
11
00
00
00
10
10
00
00
10
01
10
00
10
00
01
00
11
01
10
00
10
01
00
01
10
10
10
10
00
01
01
10
00
01
11
01
01
11
01
00
10
10
01
01
10
01
00
10
10
10
01
01
10
10
00
11
11
00
00
10
10
00
10
00
10
10
00
11
00
01
00
01
00
10
00
11
11
01
10
01
01
11
00
10
01
00
10
10
10
00
00
10
00
01
10
01
11
10
01
10
10
00
11
00
10
10
10
01
00
10
10
01
10
10
00
01
01
10
01
00
10
10
10
00
00
11
11
00
10
10
10
10
00
11
00
10
11
10
01
00
00
00
01
00
10
10
11
01
00
10
11
00
00
10
01
00
11
10
01
00
10
10
10
00
10
10
00
11
10
00
00
11
10
01
01
10
00
01
10
10
00
00
10
00
00
10
01
10
01
10
00
00
10
11
01
00
10
00
10
00
01
00
00
10
10
00
00
00
00
00
01
10
10
10
10
10
11
00
00
00
01
01
00
11
10
10
01
11
00
01
01
10
00
00
00
00
00
11
00
01
00
00
10
11
00
10
11
00
11
00
10
00
00
00
01
01
11
01
00
01
01
01
10
00
01
10
01
00
11
10
00
10
11
00
10
00
10
11
10
10
00
01
10
10
00
11
11
10
00
00
10
00
00
11
11
01
11
11
00
00
00
10
00
01
10
00
11
10
11
01
10
10
10
11
01
00
10
11
10
00
11
01
00
00
10
10
10
00
01
00
00
10
11
10
10
10
10
10
00
00
10
10
01
10
11
11
10
00
00
00
10
11
11
11
00
00
00
00
10
00
01
11
10
01
10
10
10
00
01
00
10
10
01
11
01
00
11
00
10
10
11
00
00
00
10
10
00
11
10
00
11
10
10
00
10
00
00
01
01
10
01
01
00
01
10
11
10
11
01
11
01
01
11
10
11
01
00
01
00
10
11
10
00
10
10
00
00
10
00
00
01
00
10
10
11
00
00
11
00
00
11
11
10
10
01
01
00
11
10
00
00
00
10
00
00
11
11
00
01
01
10
11
00
01
11
01
00
01
10
00
10
10
00
01
00
11
01
00
10
10
00
00
10
00
00
10
10
01
11
10
11
00
01
11
00
11
10
10
00
10
00
00
11
10
10
01
11
00
00
11
00
00
11
01
00
00
00
10
00
00
10
00
10
01
01
10
11
01
01
10
10
01
10
10
00
10
01
00
10
01
00
10
10
00
00
10
00
00
11
10
11
10
10
00
01
00
10
11
00
00
00
00
10
11
00
10
00
00
01
10
11
10
11
10
00
01
10
01
10
00
00
01
11
00
00
00
11
00
10
10
01
01
10
00
01
10
10
00
10
10
11
00
01
11
10
00
01
10
01
00
10
11
10
01
10
10
00
11
01
00
10
11
01
00
00
10
00
00
11
10
11
10
01
10
00
10
10
01
00
00
00
10
11
00
00
10
00
01
10
00
11
00
01
01
10
10
11
11
00
11
00
00
00
10
10
01
00
10
10
11
10
01
00
01
01
00
01
00
10
11
10
10
11
01
00
00
10
00
11
00
11
10
00
00
10
10
00
01
01
10
01
00
10
00
10
00
00
10
00
01
10
00
00
10
10
10
10
10
00
11
00
00
00
11
00
10
10
10
10
00
00
11
10
11
11
10
10
10
11
00
10
11
10
00
10
00
00
00
10
10
10
01
00
10
01
00
01
01
11
11
01
11
01
10
10
00
11
00
10
11
00
00
10
10
11
00
01
01
10
10
11
00
10
00
01
00
01
11
00
00
11
00
11
10
10
11
01
00
01
00
10
01
01
10
10
00
00
11
00
00
11
00
00
01
10
10
10
11
00
00
00
01
01
10
11
00
01
10
10
10
00
00
10
11
00
01
10
11
00
01
00
10
10
00
00
10
10
00
01
10
10
10
10
10
10
11
01
01
11
10
00
00
10
00
01
10
10
10
11
10
00
00
11
01
01
01
00
10
00
01
10
00
00
10
11
01
11
10
10
00
00
00
11
00
00
11
00
10
11
01
00
01
10
00
00
00
00
10
00
10
10
00
11
10
10
00
01
10
11
00
10
00
01
10
00
10
01
00
11
10
01
10
11
00
00
10
10
10
11
10
10
00
10
11
10
10
00
00
10
00
11
00
00
00
10
11
00
01
11
00
10
10
00
10
00
00
00
10
10
00
00
00
00
00
11
00
00
11
10
00
10
10
00
00
10
10
10
10
11
00
11
00
01
00
10
11
00
11
10
10
01
00
00
00
00
11
11
11
00
00
10
00
00
10
10
11
11
01
10
01
01
11
11
00
00
10
00
10
10
00
00
01
10
00
00
01
10
10
01
10
11
11
10
00
00
11
01
01
11
00
11
10
11
10
11
11
00
01
11
11
01
11
10
00
01
00
11
10
01
11
10
01
00
01
00
11
10
00
01
00
10
00
10
10
10
10
11
01
00
10
01
00
01
00
10
00
10
10
10
00
00
10
10
11
00
11
10
10
01
00
00
00
00
01
00
10
00
00
10
01
00
11
00
00
00
00
11
01
10
11
10
00
00
11
11
10
00
00
10
10
00
00
00
10
00
11
10
10
10
10
11
01
00
11
10
01
00
10
10
11
10
10
10
00
10
00
00
11
00
00
01
10
11
00
10
10
00
11
10
00
00
10
10
11
01
00
01
00
00
11
01
01
10
00
01
00
10
00
00
10
00
00
10
10
00
10
01
11
10
10
10
01
10
10
00
11
11
11
10
00
10
10
11
00
11
10
00
01
10
11
11
00
00
00
00
01
01
11
00
10
00
10
10
00
01
11
11
01
00
00
10
10
01
01
01
00
10
10
10
10
10
00
00
01
00
10
10
00
11
10
00
00
00
00
11
10
10
00
01
10
00
00
11
00
00
10
10
10
01
11
01
10
01
11
10
01
11
11
00
00
11
00
00
11
10
00
10
01
01
00
00
10
10
10
00
11
10
10
10
01
00
01
11
10
10
01
10
00
10
11
01
10
01
00
10
00
00
11
10
00
00
01
10
01
10
10
10
00
00
01
00
10
01
01
10
01
00
10
01
00
00
10
00
00
01
00
10
10
00
01
00
00
10
11
10
00
00
10
00
00
00
00
00
00
10
10
00
10
11
01
10
00
00
01
10
10
11
00
01
11
10
00
11
00
11
10
10
01
10
10
00
10
10
10
10
00
10
11
10
10
01
10
11
00
10
11
00
00
00
10
11
00
00
00
10
01
01
10
10
10
00
01
01
01
00
10
11
10
10
00
10
10
00
00
00
10
00
00
01
00
10
11
10
10
10
10
00
01
00
10
01
10
10
00
00
00
11
11
01
00
00
00
10
11
01
00
10
10
00
00
01
10
11
10
11
10
10
10
00
00
10
00
00
01
10
10
11
10
01
10
00
00
00
11
10
01
00
11
00
00
10
01
00
11
10
11
10
11
10
10
00
01
10
10
10
01
10
10
01
00
10
11
10
11
01
00
11
00
11
10
10
00
10
10
00
10
10
11
00
00
00
10
01
01
00
01
10
10
00
11
00
10
10
10
00
00
00
01
10
01
10
11
10
01
00
11
00
01
00
11
10
00
10
10
10
00
00
11
00
11
10
00
00
00
11
11
11
10
10
10
01
10
10
00
00
10
00
10
11
10
11
00
11
00
10
01
11
00
00
00
11
00
00
10
00
10
11
01
00
10
00
01
10
10
10
00
00
10
01
00
00
10
00
10
11
00
00
10
00
10
00
00
10
10
00
00
01
11
00
10
00
00
10
01
10
11
11
11
11
11
00
01
10
11
10
00
01
11
01
01
01
10
00
10
11
11
01
10
11
00
11
00
10
10
00
00
10
00
01
00
11
11
11
10
11
10
10
11
10
00
00
00
10
11
01
01
00
00
10
10
11
00
11
10
01
01
00
00
11
10
00
10
11
00
11
10
01
11
10
10
00
10
10
10
00
01
01
11
10
10
00
10
00
01
10
10
11
10
01
00
10
10
00
00
00
00
01
10
11
00
00
10
11
00
00
10
11
10
10
11
10
01
11
01
01
10
11
01
01
10
00
10
01
00
01
10
10
00
01
10
00
10
11
01
01
10
10
00
10
01
10
11
00
10
00
10
11
01
11
11
11
00
00
00
10
10
01
00
10
00
00
10
10
10
11
01
00
00
00
00
00
00
10
00
00
11
11
00
00
11
00
10
10
11
00
00
01
00
10
10
10
01
01
11
00
00
10
10
10
10
01
00
01
01
10
01
10
10
00
10
01
01
10
10
01
10
10
01
10
10
10
01
00
10
00
00
11
10
10
01
11
01
01
00
00
10
10
10
10
01
00
11
11
01
01
00
01
11
00
01
01
10
11
00
01
10
00
00
10
10
11
00
01
00
00
10
00
01
01
00
11
01
00
10
00
11
00
10
10
00
00
00
10
10
10
00
11
10
10
00
10
00
10
10
01
00
01
00
10
10
00
00
11
11
01
01
01
00
10
11
01
00
10
10
00
00
00
10
10
01
10
11
01
00
00
10
10
10
10
00
01
10
10
10
11
10
00
11
00
01
00
10
00
00
00
10
01
10
00
10
11
00
10
11
01
10
10
10
11
10
10
10
00
00
00
00
00
10
11
00
01
11
11
10
10
01
01
10
11
10
00
10
10
01
00
11
10
10
11
11
00
00
10
10
00
10
00
10
11
10
01
00
10
10
01
01
00
10
10
01
10
00
11
00
10
01
00
10
11
00
01
00
10
00
00
01
10
10
00
00
10
01
10
11
11
01
10
11
00
10
11
00
00
10
10
11
11
01
10
01
10
10
01
01
00
10
10
00
10
00
10
10
01
00
11
00
10
10
11
11
10
10
00
00
10
11
01
11
10
01
00
11
00
01
00
00
11
11
01
00
10
10
01
00
10
10
00
11
00
11
10
10
01
00
11
01
10
10
00
00
11
01
00
01
00
01
01
01
10
00
10
10
10
11
00
00
01
11
10
01
11
10
10
10
10
00
11
11
00
11
00
10
01
10
11
01
01
11
01
00
00
10
11
00
10
10
00
01
00
01
10
00
00
10
10
00
00
10
10
01
11
00
10
00
10
01
00
11
00
10
01
11
10
00
00
01
01
00
10
10
01
00
00
10
00
00
00
01
10
00
01
00
00
10
00
11
10
00
00
10
00
11
10
00
10
11
00
00
10
10
00
00
00
10
01
00
00
10
10
00
10
00
10
00
00
00
01
10
00
10
00
10
10
00
00
11
00
10
10
00
01
00
10
00
11
01
11
10
10
10
11
00
00
01
10
00
10
01
00
11
01
00
01
00
10
10
01
10
11
00
00
01
00
00
00
10
10
10
01
11
01
00
10
10
10
10
00
00
00
10
01
11
01
00
11
10
00
10
10
00
00
00
10
10
00
00
01
10
01
01
10
00
11
10
11
10
00
00
00
11
00
00
10
10
00
00
10
11
10
11
11
00
10
10
00
01
00
10
11
11
01
00
01
01
10
00
10
10
00
11
00
11
11
10
11
00
11
00
01
10
10
10
00
00
10
00
10
11
00
11
10
00
00
10
00
10
01
00
10
10
10
00
00
10
11
10
00
11
00
01
00
00
00
00
00
11
10
11
01
01
00
00
10
00
00
10
00
10
01
01
11
10
00
11
11
10
00
00
10
10
00
00
10
00
10
10
01
11
00
00
10
00
00
00
10
10
00
11
00
00
10
10
00
00
00
10
00
00
10
11
00
11
00
11
00
10
01
00
11
11
00
01
00
10
11
00
00
10
01
00
11
10
11
10
11
00
00
11
11
10
00
10
10
00
10
10
00
01
00
01
11
00
00
01
10
00
01
11
10
00
11
10
00
10
10
10
00
10
10
00
10
11
01
10
01
10
00
10
10
10
00
11
11
10
01
00
11
11
01
10
11
00
00
10
11
01
00
10
01
00
10
01
10
01
10
01
10
10
00
11
10
00
11
11
01
10
00
00
00
10
01
11
11
11
11
00
00
01
10
10
00
00
11
11
00
00
00
00
00
01
11
10
00
00
00
10
11
01
10
10
10
10
11
11
11
00
00
00
01
10
00
10
11
10
00
00
00
01
11
10
11
00
10
11
10
00
01
00
10
11
10
01
01
11
00
00
10
10
10
10
00
00
10
11
11
00
10
10
11
10
00
10
00
00
00
11
11
10
01
00
11
01
00
01
10
10
00
11
01
01
10
11
00
00
11
11
10
00
10
01
10
10
00
11
11
00
01
00
00
01
11
11
00
00
11
00
00
01
00
11
01
10
10
11
00
00
10
10
10
00
10
11
00
01
10
10
01
11
00
00
00
11
10
01
11
00
01
00
00
10
00
00
10
10
00
00
10
11
00
00
01
01
10
11
01
10
10
01
00
10
10
10
00
10
10
01
10
10
10
01
10
11
01
00
00
10
10
00
00
10
10
10
10
00
00
10
00
00
01
01
00
11
10
10
11
10
10
01
10
11
00
01
00
11
00
10
11
00
10
01
10
10
01
01
10
10
01
00
00
11
00
11
10
00
10
00
10
10
00
00
00
10
00
00
10
00
01
01
10
10
01
01
00
00
00
01
01
00
10
10
10
01
10
11
00
11
10
01
01
01
00
10
11
00
01
10
10
00
00
11
10
11
01
00
10
01
00
10
01
10
10
11
00
00
00
11
10
00
10
01
01
10
11
00
10
00
00
01
00
10
11
10
11
10
01
01
00
10
00
11
10
01
00
10
10
11
00
10
10
00
11
10
00
10
10
10
00
10
10
10
01
00
01
10
10
01
11
00
00
01
10
00
00
10
10
00
10
01
00
10
01
01
00
10
10
10
00
11
11
00
00
10
10
00
10
11
00
11
10
00
00
01
00
00
10
10
01
10
01
00
01
10
11
01
00
10
11
10
00
00
11
00
11
00
10
00
00
11
11
00
00
10
10
00
00
00
00
00
01
10
10
00
01
11
10
00
11
00
10
00
01
10
01
10
11
10
00
11
01
00
10
00
00
00
10
01
10
10
10
11
00
00
10
10
11
00
01
01
11
01
00
10
11
10
00
10
01
00
10
11
00
10
00
11
11
00
10
10
00
01
00
10
11
00
00
00
00
10
00
00
10
11
00
11
00
10
01
00
10
00
00
10
00
11
10
10
01
00
11
00
00
11
10
00
01
11
11
10
01
00
00
00
00
00
11
11
00
01
00
10
10
00
11
11
00
00
01
00
01
10
10
00
01
00
01
10
11
11
00
00
01
10
01
10
00
10
00
00
00
11
10
00
11
10
10
00
01
00
11
00
11
10
10
01
00
11
10
00
01
00
01
10
11
01
11
10
10
01
11
11
10
10
00
01
00
10
10
00
01
10
11
11
01
00
00
00
10
01
00
10
10
11
10
00
00
00
01
00
00
11
10
00
11
10
00
00
00
11
10
11
00
10
10
00
01
00
10
11
00
00
10
00
10
11
10
01
00
00
00
10
10
00
00
11
11
00
00
00
00
00
00
00
00
10
10
00
10
10
00
01
00
00
10
10
01
11
00
11
10
00
10
00
00
11
01
11
01
10
00
01
10
10
11
10
00
00
10
10
01
11
00
00
10
11
10
00
00
10
11
01
00
11
11
10
00
10
10
00
11
01
00
11
11
11
00
10
11
11
01
00
10
10
00
11
11
00
00
00
00
00
11
01
10
10
11
00
01
01
10
11
01
01
01
01
11
10
00
01
00
10
11
01
10
10
10
10
10
10
00
10
10
00
10
00
00
10
00
00
00
11
00
01
00
00
10
01
10
00
10
10
10
10
10
01
10
10
11
01
00
00
00
00
10
00
10
01
00
10
10
11
01
01
01
10
00
10
00
01
10
11
10
00
10
10
01
01
01
10
10
10
01
11
10
01
01
10
10
10
11
00
01
10
00
00
00
00
01
00
10
10
01
11
10
01
11
11
11
00
01
10
10
00
01
10
00
10
01
01
10
10
11
11
10
11
01
10
10
00
01
10
01
00
00
11
00
10
10
11
01
00
00
10
10
10
00
01
11
11
00
00
01
11
10
00
10
11
00
10
10
00
10
10
00
00
11
00
00
10
00
01
10
00
00
01
10
10
11
00
10
10
11
10
00
00
00
11
01
01
10
10
00
00
10
10
01
01
10
10
10
00
11
01
01
10
10
10
01
01
10
10
00
10
01
10
10
01
10
00
10
11
01
00
11
11
01
01
10
00
11
11
01
00
10
11
00
00
10
11
00
00
00
01
10
11
00
11
00
10
00
10
01
00
10
10
11
01
01
00
10
00
10
10
00
10
10
00
01
10
00
10
00
00
00
00
11
10
00
10
00
00
10
00
00
00
00
00
10
00
01
10
00
10
10
01
00
11
10
00
01
10
10
00
01
00
01
11
01
11
11
11
10
11
00
11
10
00
00
10
10
01
01
10
10
00
00
10
00
11
01
10
10
11
11
10
10
10
10
10
00
01
00
00
10
11
00
10
10
00
01
10
11
00
10
00
10
10
00
10
10
00
01
00
11
00
10
10
00
10
10
00
10
00
11
00
11
00
11
10
00
11
10
00
00
11
00
10
10
00
10
00
01
01
11
10
01
01
10
01
00
11
10
00
01
01
10
10
10
01
00
10
10
01
11
10
10
11
10
10
00
00
10
11
01
11
00
00
10
01
10
01
00
10
10
10
11
00
00
10
10
10
00
10
11
00
01
10
00
00
10
00
10
10
00
00
01
10
10
00
00
10
01
11
00
00
11
00
11
10
10
11
11
10
00
10
10
11
01
01
01
10
00
00
10
01
00
01
10
01
11
00
00
10
00
11
00
00
10
10
10
10
10
01
10
10
00
01
10
00
00
10
11
00
00
11
10
11
10
01
11
00
01
10
10
01
01
10
00
01
01
11
10
10
00
10
10
00
01
10
00
01
11
11
01
01
10
10
10
00
00
11
10
00
01
10
00
00
10
00
01
10
10
01
11
10
00
01
01
11
00
00
01
11
10
00
10
10
01
00
10
01
01
01
00
01
00
00
10
10
10
00
10
10
10
01
01
10
10
00
00
00
11
10
11
01
10
11
10
01
00
11
00
00
00
10
11
10
01
00
10
10
00
10
00
01
10
10
01
11
10
00
10
10
01
10
01
10
00
00
11
00
00
01
01
11
00
00
10
10
11
11
11
10
01
00
10
11
00
11
11
00
10
01
11
00
10
11
11
11
00
00
01
10
10
10
10
00
00
10
00
01
11
00
00
00
11
10
11
10
00
01
10
10
11
10
00
01
10
10
11
00
00
00
11
00
00
10
00
00
10
01
10
10
01
01
10
00
10
01
10
00
00
10
01
01
11
11
11
00
00
10
01
10
10
00
00
11
11
11
10
00
00
01
11
10
01
11
10
00
00
00
01
11
11
10
01
11
00
00
10
00
00
10
00
10
10
11
11
00
10
10
10
10
10
00
00
00
10
10
10
00
00
10
00
01
11
11
11
10
10
10
00
00
00
00
10
00
10
00
01
10
10
10
10
01
00
11
11
00
01
01
01
00
11
11
10
10
00
10
00
11
01
00
01
10
11
10
00
00
00
10
10
00
00
11
10
10
00
10
00
00
10
11
00
00
00
10
10
01
10
11
01
00
10
00
01
00
10
00
10
00
00
00
10
00
01
01
01
01
00
01
10
01
00
01
10
11
11
00
00
10
10
00
00
11
00
10
10
00
11
11
00
00
11
11
10
10
10
10
11
10
00
01
00
00
10
00
00
10
00
11
10
10
10
10
01
10
01
00
00
00
10
00
00
10
00
00
01
10
00
10
00
11
01
00
10
00
10
10
10
10
00
11
11
10
11
10
00
11
00
11
00
00
10
01
01
11
11
11
11
01
10
11
10
01
01
00
00
00
11
10
01
01
10
10
10
00
11
00
10
11
00
00
01
01
11
11
01
00
11
00
10
00
00
10
10
00
00
00
00
10
00
10
10
10
01
01
10
00
00
10
01
11
11
01
00
01
01
11
01
00
10
01
00
11
10
01
00
00
10
00
01
10
11
00
01
10
01
01
01
10
10
10
10
01
00
10
00
10
00
00
00
10
00
01
10
01
10
00
00
00
01
01
11
10
10
00
00
00
00
11
10
10
11
10
00
01
00
11
10
00
00
01
10
00
01
00
11
10
11
00
11
10
01
01
10
10
00
10
11
11
00
00
00
10
10
10
00
01
10
00
00
01
11
01
00
00
01
10
10
10
01
00
11
10
10
01
00
10
11
00
00
11
00
11
10
10
00
00
00
10
01
10
10
00
00
10
01
01
11
11
11
00
10
01
01
11
10
01
01
10
00
00
10
10
01
01
10
00
10
01
10
11
00
10
00
00
01
01
01
00
10
10
10
00
00
10
10
10
00
00
01
01
10
11
10
01
01
10
10
00
11
10
10
00
00
10
10
10
00
10
11
01
11
10
11
10
01
10
10
01
00
10
11
00
01
00
10
10
01
10
10
00
00
00
00
00
10
10
10
00
11
01
00
10
01
01
01
11
01
11
10
01
10
11
00
01
10
10
01
00
10
10
00
01
01
01
10
10
11
10
01
00
11
00
00
10
11
00
10
01
00
10
00
10
01
10
11
10
00
00
00
11
11
10
00
10
00
00
00
10
00
00
10
10
00
00
11
10
01
11
11
01
10
10
10
01
01
10
00
00
10
10
00
00
10
11
10
00
11
00
11
00
10
01
10
11
01
01
11
10
10
01
11
00
00
10
10
10
00
00
01
00
01
00
01
10
01
10
01
10
11
00
00
01
11
10
01
00
10
00
11
11
01
10
01
00
01
11
00
11
10
00
10
10
11
10
10
00
11
10
10
01
01
11
10
01
10
10
10
00
01
11
00
10
01
10
10
01
10
11
01
11
01
10
01
11
10
00
00
00
11
00
10
10
00
00
11
10
00
10
10
11
00
10
10
10
01
11
01
00
11
10
01
01
00
10
10
00
00
11
10
00
00
01
10
11
01
01
00
10
11
01
10
11
00
10
10
11
10
00
11
00
11
00
10
11
10
10
10
11
00
01
10
10
00
10
01
00
10
11
01
00
00
00
00
00
00
10
10
01
01
10
10
00
00
01
11
01
00
10
11
10
10
01
10
01
00
10
01
10
11
01
00
10
00
11
11
10
00
01
00
00
10
10
00
01
10
00
10
10
10
10
00
10
11
10
00
00
01
10
01
11
10
10
00
00
01
00
10
00
00
10
10
10
00
11
11
00
00
10
10
10
01
11
10
00
01
00
10
10
10
10
01
00
11
00
00
11
00
11
11
01
00
10
01
10
11
10
01
00
11
01
10
11
00
10
11
01
00
00
00
10
10
00
01
00
10
10
00
10
00
10
11
01
10
00
11
01
00
00
10
11
01
00
10
10
10
00
10
00
00
11
00
01
10
01
10
00
11
10
10
00
01
01
10
01
10
10
00
11
10
10
10
01
11
10
10
00
00
01
01
00
01
11
10
00
00
10
11
01
01
01
00
11
01
10
00
10
10
00
01
10
11
01
10
00
00
10
10
01
00
01
10
00
00
11
11
11
00
00
11
10
10
10
00
10
01
00
10
00
01
10
11
00
01
10
00
00
11
10
11
00
00
10
10
10
01
11
00
10
11
00
00
11
11
01
00
00
10
11
00
10
01
00
11
11
10
10
00
01
10
00
00
10
00
10
10
00
00
10
10
10
01
10
10
00
00
11
10
00
01
00
10
10
00
11
00
10
00
00
10
00
00
11
11
01
00
11
11
10
10
00
01
11
10
00
00
00
01
00
10
11
01
11
10
00
11
00
00
11
01
00
10
10
11
01
00
00
10
00
01
00
10
10
10
00
11
01
01
00
00
10
01
00
00
00
11
10
01
00
10
01
11
01
00
01
00
11
00
10
11
00
10
11
10
11
10
10
00
00
00
10
00
01
10
00
00
00
11
11
11
00
00
10
11
00
11
01
00
11
01
00
10
10
00
01
10
11
10
00
11
00
10
10
10
01
01
10
11
01
10
01
00
10
01
00
01
10
11
00
01
00
11
10
00
00
00
11
10
10
01
10
01
00
00
11
00
00
10
00
01
10
11
00
10
01
01
10
00
00
10
00
10
10
01
00
10
01
00
11
10
00
01
10
00
00
00
10
11
00
10
00
00
00
10
10
00
10
10
01
10
11
11
00
00
10
00
10
00
00
00
00
10
01
10
10
00
10
11
10
01
01
11
10
00
00
11
11
01
01
00
10
11
01
00
00
11
10
10
00
00
00
00
00
10
10
00
01
11
01
10
10
10
01
00
01
01
10
01
10
10
11
11
01
00
00
10
10
00
00
11
10
00
01
01
01
11
01
01
10
00
10
11
00
00
01
10
11
11
00
10
00
00
10
10
00
00
10
10
00
11
10
10
10
00
00
10
10
00
00
10
01
01
00
00
00
10
00
01
01
11
00
00
10
10
01
10
10
00
10
01
01
01
01
10
00
00
00
10
11
01
10
01
10
10
10
10
10
00
10
00
00
10
00
11
01
00
10
10
10
00
00
10
00
10
01
00
00
01
00
00
00
11
10
00
00
10
10
10
11
01
01
11
00
00
00
11
10
00
01
10
01
00
00
11
01
00
10
00
01
10
10
00
00
11
01
01
11
11
00
10
10
10
11
00
01
10
11
10
10
00
01
11
10
10
10
11
01
00
01
10
10
00
00
00
10
10
10
01
11
00
00
10
10
11
00
01
00
10
11
00
10
01
10
10
10
11
11
00
10
01
00
00
00
10
00
01
10
10
10
10
10
10
00
01
00
00
01
01
11
00
01
10
10
00
00
11
10
10
00
00
10
01
10
00
11
00
11
01
01
10
00
11
00
00
10
00
01
11
01
00
00
11
10
00
11
10
01
11
11
10
00
00
00
01
01
10
11
00
11
10
01
10
01
01
11
11
01
11
10
00
11
10
01
10
00
01
00
01
00
00
10
10
00
00
01
11
11
01
00
00
10
10
10
10
00
00
00
10
11
01
00
00
01
10
10
11
00
01
00
00
10
10
01
11
10
00
11
10
10
11
00
10
00
00
11
00
10
00
10
00
10
00
00
01
10
11
10
10
00
10
00
00
10
10
01
00
10
10
00
00
01
00
11
00
01
10
01
01
10
01
00
11
10
11
01
01
10
00
10
10
10
00
00
11
11
10
10
11
10
00
10
01
01
00
01
10
00
11
10
10
10
11
01
00
10
10
11
10
01
00
01
00
11
10
01
01
10
10
10
10
00
01
11
11
10
01
11
10
00
01
00
11
10
01
00
00
11
10
10
11
00
10
11
00
00
01
11
00
10
10
10
11
00
00
00
10
10
10
00
10
10
10
00
11
10
01
01
10
00
01
00
11
01
01
11
10
00
11
00
00
01
11
11
00
00
11
10
01
00
11
10
00
00
11
00
10
10
00
00
00
11
01
10
01
01
11
01
10
10
10
01
00
01
10
10
00
00
00
01
10
00
01
11
10
00
11
10
10
00
11
10
01
00
01
00
00
00
11
10
10
00
01
11
10
01
01
00
11
10
01
11
10
10
00
00
10
00
01
01
00
10
11
10
10
10
10
10
11
10
01
00
10
10
00
11
10
00
00
10
10
10
00
11
00
00
10
01
11
00
10
01
01
10
10
10
00
10
10
00
10
11
00
10
00
01
00
10
00
10
10
00
11
00
11
10
00
10
10
01
10
00
00
11
10
11
01
01
00
01
11
10
00
01
00
10
10
01
10
00
00
10
11
10
11
00
00
11
01
00
00
10
00
10
00
10
10
10
11
10
00
00
11
00
00
00
10
10
00
00
10
11
11
11
11
11
10
00
01
10
11
00
01
10
01
10
00
00
10
10
01
10
10
00
01
10
00
11
00
10
00
00
10
10
01
10
11
00
01
00
10
10
00
10
10
00
10
10
00
00
10
00
00
10
10
01
00
11
10
11
11
01
10
10
01
11
01
01
00
11
00
01
10
10
11
00
01
11
01
00
00
10
00
10
11
10
10
01
11
01
10
01
00
10
00
00
10
00
00
10
00
11
01
10
00
10
10
00
11
10
00
00
01
10
00
10
10
01
11
10
11
00
10
10
00
00
01
10
11
01
01
11
11
00
11
01
00
10
10
11
01
10
11
00
10
10
10
00
10
10
00
11
00
11
00
10
01
00
11
10
10
00
00
00
00
11
00
11
11
10
11
10
10
00
01
10
11
11
00
01
00
00
10
11
00
01
00
10
11
01
00
00
01
10
01
10
10
10
01
11
01
00
10
00
01
00
01
00
11
10
00
10
00
10
00
10
10
01
11
11
10
01
10
00
00
10
00
10
10
01
11
10
01
11
00
10
00
01
10
00
00
10
10
00
00
11
11
00
11
10
00
01
00
00
11
10
10
00
10
00
10
01
01
11
11
10
10
10
00
00
00
01
10
10
00
10
00
10
01
10
01
01
00
11
00
00
00
00
10
01
10
11
10
10
10
10
01
01
00
10
11
10
00
00
10
10
00
00
10
10
01
10
00
00
00
00
01
10
01
11
10
00
10
00
00
11
10
00
00
10
10
01
00
10
10
00
01
00
00
10
11
00
11
00
00
00
11
11
00
10
11
00
00
10
00
10
11
00
01
10
00
01
11
10
00
10
10
10
00
01
10
10
01
10
00
00
01
00
11
00
01
10
00
10
10
11
11
10
00
00
10
00
00
00
10
10
00
11
10
01
00
10
00
00
11
00
10
00
11
10
10
11
00
01
00
10
10
11
10
10
11
01
11
00
01
11
01
01
00
00
10
10
10
00
10
11
00
11
00
00
00
00
11
11
10
00
10
11
10
00
10
00
01
00
10
01
01
10
01
00
00
11
00
10
10
00
01
00
10
11
00
00
00
00
10
10
00
11
10
00
11
00
10
11
10
01
01
11
10
00
10
00
10
00
01
10
01
10
11
11
11
11
10
10
00
00
11
11
10
00
11
11
10
11
01
11
01
10
11
00
00
10
10
00
01
10
10
01
01
00
11
10
01
01
00
00
10
01
00
00
10
10
11
01
00
01
00
10
10
01
00
00
10
10
10
10
00
10
10
01
00
11
01
10
01
11
00
01
11
10
10
11
01
00
10
10
00
00
10
00
10
10
11
00
01
10
00
01
00
10
10
00
00
11
01
11
11
00
10
10
00
00
10
10
00
10
10
10
10
00
10
00
01
10
10
10
10
00
00
01
10
10
10
01
10
10
01
01
10
10
11
10
11
01
00
10
11
01
00
10
11
11
10
10
11
10
00
01
10
00
00
10
10
10
00
10
00
01
01
01
11
00
10
11
01
10
11
00
10
00
10
01
00
10
01
10
01
00
00
11
01
00
11
10
00
10
10
01
00
10
10
00
10
01
10
01
10
10
10
00
10
00
11
10
10
01
10
11
00
01
11
10
00
00
01
10
01
00
10
00
00
00
10
10
00
10
00
11
01
10
10
10
00
11
00
01
00
10
00
00
10
00
01
10
11
10
11
00
00
10
10
01
00
10
10
00
00
10
11
00
10
10
01
00
10
10
11
10
00
01
00
10
00
10
10
11
10
00
10
00
01
00
11
10
11
10
10
11
00
11
10
00
01
11
10
10
11
01
11
11
01
01
11
10
00
10
10
10
00
01
11
10
01
10
01
01
10
10
11
00
00
01
10
10
01
10
00
00
10
00
11
10
00
10
11
10
00
11
10
11
00
01
01
00
11
00
10
10
10
01
10
00
00
10
00
00
10
10
11
00
00
01
10
00
00
10
11
01
00
10
00
00
10
00
10
00
00
10
00
01
00
00
10
10
00
00
00
00
11
01
00
11
00
11
01
11
01
11
10
00
00
00
11
11
01
01
11
01
11
00
10
10
00
00
10
11
00
00
10
10
01
11
00
01
11
01
11
10
00
01
00
10
00
01
10
11
01
01
01
01
01
00
10
10
00
11
10
01
01
10
00
11
10
00
00
10
10
10
11
00
00
10
10
10
10
10
00
11
11
00
00
00
10
10
10
01
01
11
10
00
10
00
01
11
10
01
01
00
11
00
11
00
01
11
10
00
00
10
11
11
00
01
11
11
10
10
10
11
10
11
10
00
01
01
10
00
00
10
10
11
10
00
00
01
00
11
11
11
01
10
10
11
00
00
10
10
00
01
11
01
11
10
00
00
11
10
10
01
10
10
00
01
01
11
00
11
00
00
01
10
01
00
00
01
11
00
00
00
00
01
11
00
00
11
11
00
11
01
00
00
11
11
01
10
11
00
10
00
00
10
10
10
00
00
00
00
10
10
11
10
00
11
10
00
10
00
10
11
11
00
10
10
00
00
01
00
10
11
01
10
11
00
00
10
00
11
00
00
00
00
00
00
01
10
00
00
11
10
00
00
10
00
00
10
11
00
10
00
11
11
11
11
10
00
00
10
01
00
10
10
01
10
01
11
10
11
00
01
11
00
01
01
10
10
00
00
10
00
10
01
00
10
01
10
01
00
11
10
11
10
10
10
00
11
00
11
11
00
01
10
00
10
10
01
11
10
11
10
10
00
11
00
00
10
00
00
11
10
00
10
00
00
11
11
11
10
00
00
10
11
11
00
01
10
00
00
00
11
00
01
10
00
01
01
00
10
10
11
00
00
10
10
00
10
00
10
01
00
11
00
00
11
10
10
11
11
00
10
10
00
00
00
10
01
00
11
00
10
10
00
10
10
10
00
11
10
00
11
01
11
11
01
10
10
10
01
00
10
10
00
11
00
11
10
00
11
00
00
10
10
10
00
11
10
00
10
11
00
10
00
10
10
10
11
01
11
11
10
00
01
00
00
11
10
00
11
00
00
00
10
00
10
10
01
11
00
00
01
00
00
11
11
10
01
00
10
00
01
10
11
00
00
00
00
01
10
00
00
10
01
00
10
10
01
10
11
11
10
01
01
10
10
01
00
10
00
11
11
10
00
00
11
10
11
10
01
01
10
01
10
10
01
00
00
01
10
10
01
11
00
10
10
10
00
00
00
10
10
01
00
00
10
11
10
00
00
11
00
11
01
10
11
01
00
00
00
11
10
10
00
10
11
10
10
01
00
01
10
11
00
00
00
10
10
10
00
10
01
00
11
10
00
10
00
00
11
01
00
10
01
00
00
10
10
00
11
10
00
10
10
00
00
11
00
11
00
10
10
00
01
01
00
11
11
01
11
00
00
11
00
00
10
10
01
10
10
00
00
11
10
11
00
00
00
10
00
11
00
00
11
10
10
10
11
01
10
11
01
00
00
10
10
00
01
11
10
10
00
10
10
00
01
10
10
10
01
00
10
00
00
00
00
00
11
01
11
11
00
00
00
01
10
10
00
00
10
10
10
01
00
10
10
00
11
00
01
10
11
00
00
01
10
10
01
10
00
00
11
00
01
00
00
01
00
11
10
10
00
10
00
00
11
00
10
00
01
01
11
10
10
10
10
10
00
01
11
00
11
10
11
10
01
11
11
10
01
00
00
00
10
00
10
11
01
00
00
10
00
11
01
10
11
00
10
01
11
00
10
11
00
11
11
10
00
01
00
10
11
00
00
11
01
10
00
10
11
10
00
00
00
01
10
01
01
10
10
00
00
10
10
00
11
00
10
11
01
10
10
00
01
00
01
00
00
10
01
10
11
10
00
10
10
01
10
01
00
10
11
11
00
10
00
00
10
11
00
01
10
01
11
11
01
00
10
00
11
10
00
01
10
10
11
00
00
01
10
00
00
11
01
01
11
01
01
01
10
11
11
00
00
00
10
11
01
00
01
00
10
01
00
00
00
10
00
00
10
00
10
10
10
10
00
00
00
10
11
11
10
01
10
00
01
10
10
01
10
01
11
10
01
11
10
11
10
00
00
11
10
00
01
10
00
00
10
10
01
00
00
10
00
00
01
00
10
00
01
10
11
10
00
00
01
11
10
10
00
00
10
10
10
01
01
10
00
00
11
00
00
00
01
01
11
10
01
10
10
10
00
00
11
11
10
00
00
11
10
00
01
10
10
10
01
10
00
00
11
11
10
00
00
00
11
00
00
01
10
10
10
00
10
00
00
10
00
00
00
01
00
10
00
00
10
01
11
00
00
00
00
01
00
11
00
10
10
00
10
10
00
01
10
10
01
10
00
11
10
00
00
10
10
10
00
01
00
11
11
10
00
10
01
00
11
11
01
01
11
10
00
10
10
11
11
00
00
00
10
10
01
00
00
11
10
11
00
00
01
01
00
00
10
10
01
11
10
00
00
11
01
01
00
00
10
10
11
10
11
01
10
00
01
11
10
11
00
00
01
00
01
11
11
11
01
11
10
10
00
00
10
01
00
00
01
01
11
00
01
11
00
00
01
10
10
00
00
00
10
00
00
00
10
01
10
10
11
11
00
00
10
00
10
10
00
11
00
01
11
11
10
10
10
11
00
01
00
00
10
01
00
01
10
10
10
10
00
10
10
00
00
10
11
01
10
01
11
10
10
00
00
00
10
10
00
10
11
10
00
01
00
01
00
10
10
00
10
00
00
11
11
00
11
00
00
01
00
00
00
10
10
00
10
10
10
00
00
11
00
10
00
00
10
10
00
11
00
01
10
11
00
00
10
10
10
01
11
11
10
01
01
01
11
00
00
10
10
11
11
00
00
01
10
10
00
00
01
00
11
01
01
10
00
11
10
01
00
10
11
10
00
10
11
01
00
01
10
00
10
10
00
10
10
01
00
10
00
10
00
00
01
11
10
10
11
01
11
10
00
11
00
01
00
00
10
00
00
00
10
10
00
00
10
10
11
11
01
10
10
11
00
11
10
00
11
10
11
00
00
11
11
00
01
00
10
00
01
10
00
00
00
01
00
00
10
10
00
01
11
10
00
10
01
00
00
01
11
11
00
00
10
00
01
00
00
10
10
10
10
11
00
10
10
11
00
00
10
00
01
10
11
10
01
10
11
10
11
10
00
00
11
00
00
01
10
00
11
00
10
10
00
10
01
11
00
00
10
00
01
01
11
10
11
10
11
01
01
10
10
01
10
10
00
00
10
11
01
01
11
00
00
10
10
01
01
11
00
10
01
01
10
11
10
00
00
10
10
01
01
00
10
01
10
10
10
10
00
00
00
00
01
10
10
10
10
00
00
00
00
00
00
00
10
10
11
10
11
10
00
10
01
11
10
10
10
10
10
10
01
01
01
01
10
10
11
00
00
10
10
01
10
01
10
10
01
00
10
10
00
10
11
00
00
11
00
10
00
00
10
10
00
01
10
00
11
01
00
11
10
10
10
00
11
10
00
00
11
11
00
01
10
10
00
00
00
10
11
00
10
11
00
00
10
10
10
00
00
10
00
00
00
01
00
11
11
10
01
10
10
10
10
00
00
00
00
10
10
10
10
01
10
01
10
11
00
01
11
00
00
01
10
10
00
00
11
01
00
11
10
10
11
01
01
00
10
10
00
10
01
01
00
11
11
10
00
10
10
10
00
01
00
01
00
10
10
10
11
00
01
01
10
00
00
00
10
01
10
10
01
10
01
10
10
11
00
00
10
01
01
10
10
10
00
01
10
00
10
10
10
01
00
00
00
10
00
10
11
01
10
00
00
11
00
11
10
00
10
01
00
10
00
00
11
00
01
01
01
00
00
01
11
11
10
01
00
11
10
11
11
01
01
10
01
01
10
11
00
10
00
10
11
00
10
10
10
10
01
01
00
01
10
11
01
00
11
01
10
01
01
10
10
10
00
01
10
10
00
00
01
01
00
10
10
10
00
11
11
00
01
10
01
10
11
10
11
10
01
00
11
00
01
10
11
01
00
10
10
00
00
00
00
10
11
10
10
00
00
00
00
01
00
10
10
00
11
11
10
11
01
10
10
01
00
10
00
00
10
11
00
10
10
00
10
10
00
11
01
00
00
01
01
10
11
10
00
01
10
00
10
00
01
10
10
00
00
11
00
01
00
00
10
11
00
01
00
11
00
10
00
10
11
00
01
01
00
10
10
11
11
01
00
11
11
11
11
00
01
10
01
01
10
00
00
00
11
00
00
00
11
10
00
01
10
10
01
10
10
10
00
10
01
01
10
01
10
00
00
00
00
00
11
10
00
00
10
10
00
10
10
10
00
11
11
01
10
11
01
10
11
00
00
00
10
10
01
10
11
00
10
10
11
11
11
11
00
10
10
10
11
00
01
00
00
00
10
01
01
10
10
01
00
01
00
10
10
00
10
10
00
00
10
00
00
11
10
01
01
10
01
11
11
01
10
10
01
10
11
10
01
00
10
10
10
10
01
00
01
10
00
10
00
00
00
10
10
01
00
01
10
00
01
01
10
10
01
10
00
01
11
00
01
10
10
01
10
11
00
00
10
00
00
00
00
11
10
10
00
10
00
10
00
01
10
01
10
11
11
10
00
11
10
10
01
01
00
00
10
10
10
10
00
11
10
11
00
11
01
01
11
00
00
11
01
00
10
10
10
11
10
00
01
00
00
00
00
01
01
10
11
10
11
00
10
11
00
01
10
00
00
00
00
11
00
00
01
11
10
00
10
01
00
10
11
00
00
01
00
10
10
00
00
00
00
10
10
10
00
00
10
10
11
00
00
10
11
01
01
00
00
10
00
10
10
11
00
01
10
10
10
10
00
00
10
10
00
01
01
10
01
01
00
11
10
01
00
00
10
10
01
10
11
00
10
01
10
11
10
10
00
11
10
00
01
00
00
00
00
10
00
00
10
00
11
10
10
10
00
01
00
10
00
01
00
11
10
00
00
00
01
10
11
10
11
00
00
11
11
00
00
10
10
10
01
10
00
10
10
00
10
10
00
00
10
11
00
11
10
10
10
00
00
00
00
10
01
10
11
00
00
00
00
11
11
10
01
00
10
00
10
10
00
01
10
11
01
00
10
00
01
00
00
10
11
00
10
11
00
00
01
11
11
11
01
00
10
00
01
11
10
00
00
00
10
11
10
01
00
00
00
10
10
10
10
00
01
10
00
11
00
10
10
01
10
10
00
10
00
10
01
01
00
00
10
00
00
10
01
00
00
00
00
00
00
00
10
10
00
10
01
00
10
11
10
10
00
11
10
10
10
01
10
00
01
10
00
00
10
10
00
00
10
00
00
10
01
10
01
01
00
01
11
10
10
00
00
10
00
00
00
00
00
01
11
00
10
00
10
01
11
01
01
11
10
11
01
00
10
10
00
01
10
11
00
01
11
10
10
00
10
11
00
00
00
10
10
00
01
10
00
11
10
10
00
10
00
00
00
10
10
10
01
11
10
01
01
10
10
11
00
01
10
11
00
00
10
11
01
00
10
10
10
01
00
11
10
10
10
00
10
01
00
00
01
01
01
01
11
11
00
00
10
00
00
10
00
10
00
00
11
00
11
10
00
10
10
10
10
00
01
01
00
00
10
00
10
00
00
01
01
11
10
00
00
01
01
11
00
10
10
00
10
10
00
00
00
10
11
11
00
00
10
11
10
11
01
00
11
01
00
10
00
00
11
00
00
10
10
01
01
11
00
11
10
00
10
11
10
00
00
10
10
01
00
10
11
01
01
10
00
00
10
10
00
01
10
00
01
01
10
00
10
10
11
11
10
10
10
10
11
00
00
10
10
00
11
01
10
10
11
10
11
00
00
00
00
11
01
00
10
10
11
10
10
00
00
10
01
00
10
11
10
11
00
00
11
11
11
10
11
00
10
01
00
00
10
11
01
00
00
00
00
10
00
11
10
11
00
10
11
00
10
11
10
11
01
11
00
10
10
10
10
00
01
00
10
00
01
01
10
00
01
10
10
10
11
00
10
11
00
01
11
10
00
00
10
01
10
00
01
00
01
01
10
11
01
10
11
10
00
00
11
10
10
00
01
01
11
11
01
10
10
10
00
11
11
01
11
00
11
10
11
11
00
00
11
10
10
01
00
00
00
00
10
00
00
11
10
10
00
11
10
10
00
00
10
01
10
10
10
10
10
10
00
00
00
00
10
10
00
10
01
00
00
00
00
10
00
10
10
01
10
00
01
10
10
01
10
00
10
01
10
10
10
10
11
10
10
00
01
00
10
10
11
11
11
01
00
11
11
00
00
01
10
11
00
00
01
10
00
11
00
01
10
10
10
10
10
00
01
10
00
00
01
00
10
00
10
10
00
00
01
00
10
10
11
11
10
00
00
00
00
00
10
01
00
00
10
10
11
01
11
00
00
11
11
10
10
10
10
11
10
01
00
00
00
00
10
10
11
00
00
10
00
01
00
10
10
01
00
10
11
10
10
00
10
00
00
01
00
10
10
01
01
10
01
10
10
00
11
00
10
10
10
00
11
01
00
10
10
10
11
00
01
00
11
10
00
11
11
01
00
00
10
11
00
01
00
11
00
11
10
01
00
10
01
00
10
00
10
10
01
00
00
10
00
10
01
10
10
00
00
00
01
01
10
10
11
01
00
01
10
01
11
10
00
00
00
10
10
00
11
00
01
00
11
00
10
00
00
00
11
11
10
00
00
00
10
01
00
00
10
11
01
01
01
10
00
01
01
10
00
00
10
10
10
00
01
00
00
01
00
01
10
00
00
10
00
01
10
10
11
00
10
10
10
10
11
10
01
00
00
10
00
00
10
01
00
10
10
00
10
00
01
10
00
10
11
00
00
00
01
00
10
00
10
00
00
00
00
01
01
10
00
00
10
00
10
11
10
00
00
10
11
11
01
01
11
11
00
10
11
00
10
11
01
00
10
00
10
10
00
10
00
10
00
10
10
01
01
00
00
10
10
01
01
11
11
11
01
01
00
10
10
01
01
11
00
00
11
00
11
00
01
10
00
10
00
01
11
10
10
01
00
01
00
11
00
10
10
11
10
01
11
10
11
00
01
11
10
01
10
00
11
00
01
10
00
00
00
11
10
11
00
10
10
11
00
01
00
11
11
00
01
10
10
11
10
01
00
10
10
01
10
10
01
01
01
01
01
10
00
10
10
00
11
11
01
10
00
10
01
01
11
11
01
11
00
00
00
10
11
00
10
11
01
00
11
11
00
10
00
00
00
10
10
10
11
01
00
00
00
11
00
00
01
01
10
11
10
10
10
10
00
00
00
00
01
10
10
00
10
10
11
11
11
10
00
10
00
10
10
01
01
00
00
00
10
01
00
10
10
10
00
11
11
00
00
00
00
10
10
11
01
10
10
10
00
10
11
10
10
00
00
01
01
00
00
11
11
01
10
10
01
10
11
10
10
01
00
10
01
10
11
11
00
01
11
00
00
01
11
00
10
10
00
00
11
10
10
01
10
01
00
01
11
10
01
01
10
01
00
10
00
11
10
00
10
10
10
10
11
00
00
10
00
11
11
00
00
10
10
00
01
00
01
11
11
01
00
11
00
01
11
00
00
10
01
10
00
00
11
11
01
10
00
00
01
11
10
10
00
10
00
01
00
11
11
00
01
10
11
00
00
10
11
10
00
00
00
00
11
01
01
10
00
00
01
11
10
01
00
01
10
00
10
10
00
01
00
11
00
10
10
10
00
00
11
01
01
10
10
00
11
00
00
00
10
10
10
01
01
00
11
10
01
10
10
00
00
10
00
10
11
00
11
00
10
00
00
10
00
00
10
11
11
01
10
01
11
11
00
00
11
10
00
10
00
00
10
01
01
00
00
10
01
10
00
10
10
00
00
10
10
00
00
01
01
01
11
01
01
01
11
10
00
10
11
11
01
10
11
00
01
10
01
01
10
10
00
00
10
11
01
00
10
11
00
00
01
10
10
10
00
10
10
10
10
11
10
11
00
10
10
10
10
10
11
00
01
10
00
00
00
10
00
00
10
10
00
10
11
10
00
01
10
10
01
11
01
00
10
00
11
00
10
10
11
01
00
10
00
00
10
00
01
10
11
10
10
00
10
00
11
00
00
00
10
00
00
10
01
10
11
10
11
00
00
00
11
01
00
00
10
10
00
00
10
00
01
00
10
01
01
10
11
11
00
00
01
11
10
00
01
00
10
10
10
11
00
11
01
01
00
10
10
01
10
01
10
10
01
10
01
00
11
10
10
11
00
10
10
00
00
00
10
10
01
10
10
01
00
11
00
00
11
01
01
11
01
00
00
10
00
11
11
00
00
01
01
01
10
11
00
10
10
11
11
01
00
11
00
10
10
01
10
11
01
10
10
00
01
00
01
00
11
00
01
00
00
00
10
10
00
10
10
00
00
10
01
00
11
01
00
11
11
10
10
00
01
11
10
01
00
10
10
00
00
00
10
10
10
00
10
00
00
11
10
10
10
11
00
00
01
11
00
00
11
11
10
10
01
00
11
10
01
00
11
10
00
10
10
00
00
10
11
10
10
01
01
10
00
00
10
10
11
11
10
00
10
10
00
10
10
11
01
01
10
10
11
00
10
00
00
10
11
00
11
10
00
01
11
01
00
11
11
00
11
10
11
00
10
10
11
00
00
11
01
00
00
11
10
00
00
10
11
10
10
10
00
00
11
00
01
00
00
00
00
10
10
10
00
10
10
10
10
00
00
10
01
00
00
00
10
10
11
10
00
11
00
10
10
00
00
10
00
10
10
10
01
10
00
10
10
10
01
00
00
00
11
10
10
01
10
01
00
01
10
10
01
00
10
11
00
10
11
10
01
10
10
01
00
10
11
11
01
01
11
10
10
11
00
00
00
00
10
10
10
11
00
01
10
00
00
00
00
00
10
11
01
00
11
01
11
01
00
11
11
10
01
00
10
00
00
10
10
10
00
00
11
00
10
01
10
00
10
01
10
10
00
10
10
01
10
01
10
10
01
10
00
11
00
11
11
00
01
10
00
00
10
10
10
01
00
10
10
00
01
00
00
01
10
10
10
00
00
10
11
00
10
10
11
10
00
10
10
11
00
00
00
11
00
00
11
01
00
00
00
10
00
01
10
00
00
11
10
01
00
00
00
11
11
10
10
10
10
00
10
00
10
10
01
11
00
10
00
01
00
00
10
11
10
10
00
10
10
00
00
01
11
00
10
10
11
11
01
00
10
10
10
10
00
01
10
10
10
10
00
00
01
01
10
01
10
11
01
01
01
10
01
00
10
11
00
00
11
10
11
10
11
00
11
00
01
00
10
00
01
11
00
10
10
01
01
00
10
10
11
00
00
01
11
10
11
00
10
10
01
01
10
11
10
10
11
10
10
11
00
00
00
00
10
00
01
01
11
10
11
00
01
10
10
00
00
10
01
11
11
10
00
10
00
00
10
00
11
01
01
00
00
10
10
00
10
10
00
01
00
01
00
10
11
00
10
10
11
01
11
00
00
11
01
11
11
10
01
00
00
10
11
01
00
01
11
00
10
00
00
10
10
00
00
11
10
10
00
11
10
11
11
00
11
00
00
10
00
10
10
00
00
10
00
00
01
10
10
11
10
00
00
10
11
10
00
10
00
10
00
10
00
10
10
10
00
01
01
01
11
00
11
01
10
00
01
10
10
00
10
10
00
01
00
00
10
11
11
11
10
00
01
10
10
10
11
00
00
10
00
11
10
00
00
00
01
01
10
10
11
00
00
10
10
10
00
11
01
10
00
00
01
11
00
10
00
00
00
00
10
10
11
00
00
00
01
10
10
01
00
10
10
01
10
10
01
01
11
11
10
01
10
10
11
01
00
00
11
10
10
10
00
10
00
00
10
01
11
00
11
01
01
00
00
11
10
10
00
00
10
10
01
11
01
01
10
00
01
00
10
11
01
00
10
11
11
10
00
00
10
00
11
10
10
01
00
11
10
10
00
10
10
01
01
10
10
10
10
00
00
00
10
11
00
10
10
10
10
11
01
10
11
10
00
00
00
10
11
10
00
00
11
00
01
10
10
10
11
11
10
00
00
10
11
10
00
10
00
10
10
10
10
10
01
00
10
01
00
10
00
00
00
10
10
10
10
00
00
00
00
01
10
10
00
10
11
00
10
11
10
10
00
10
01
10
11
10
10
01
11
01
01
10
10
01
00
00
11
10
10
11
00
00
00
00
01
11
10
00
11
10
10
00
00
11
11
11
11
10
11
10
11
00
00
10
10
11
00
10
01
01
10
10
10
00
01
11
10
00
01
01
01
01
00
11
11
00
00
10
10
10
10
01
10
00
11
11
11
00
11
10
00
10
10
00
00
10
10
00
00
10
00
01
10
01
10
10
11
11
11
00
00
00
10
11
00
00
10
01
10
00
00
01
10
01
00
10
00
10
11
00
01
10
00
10
00
11
11
00
00
01
11
00
10
00
10
10
10
10
00
00
11
10
00
11
11
00
00
10
10
11
10
00
00
10
10
10
10
01
10
01
10
01
00
10
00
10
01
00
10
10
11
10
10
01
01
00
01
11
10
10
10
00
00
00
10
10
11
11
00
00
10
00
11
11
01
11
10
10
01
10
00
00
00
10
11
01
01
00
00
11
10
01
01
01
10
00
11
11
11
00
00
11
10
01
00
01
11
11
01
00
00
01
00
10
10
10
00
10
00
01
01
00
01
00
10
10
00
11
11
00
00
01
11
10
10
01
10
01
00
00
01
00
01
01
11
00
00
10
11
11
01
01
11
10
10
00
01
01
00
10
11
01
10
10
10
01
00
11
00
11
10
10
00
10
00
01
11
11
11
10
10
11
11
00
00
10
00
01
10
10
10
00
10
10
11
00
01
01
00
10
00
10
10
10
00
11
01
00
10
11
10
00
11
00
00
10
10
00
11
11
11
10
00
01
00
00
00
00
11
00
10
00
10
11
00
00
00
00
01
11
00
00
00
10
10
01
10
10
10
10
00
11
01
00
01
01
01
00
10
11
01
00
10
11
11
11
10
00
00
10
11
01
00
10
10
10
11
11
00
01
11
10
10
00
10
11
10
00
01
11
10
11
10
10
01
00
10
00
10
10
00
00
11
01
00
11
00
10
11
10
01
10
01
00
00
00
10
11
10
10
00
00
00
00
11
01
00
11
10
11
00
10
00
10
10
00
10
00
00
00
11
10
11
00
00
10
00
10
11
00
01
11
01
00
11
00
01
10
10
01
00
00
10
10
01
00
10
10
10
00
10
10
00
00
10
01
10
00
00
00
00
00
00
00
10
10
01
11
00
10
00
00
10
01
00
10
10
00
01
10
00
00
01
00
00
00
00
11
10
00
00
01
11
00
00
10
11
11
10
11
00
10
11
00
00
11
10
00
00
10
11
00
11
01
10
10
01
00
00
00
10
01
00
00
11
01
00
00
10
11
10
11
10
01
00
10
10
10
10
00
00
10
10
00
00
10
01
00
10
01
00
11
10
11
01
00
01
10
01
11
00
00
10
10
00
11
11
10
00
10
00
00
00
11
01
10
11
01
01
11
00
10
10
10
00
00
01
10
10
00
00
00
01
11
11
01
00
10
01
01
01
00
10
10
00
11
10
11
01
00
00
01
01
11
10
11
10
01
11
11
00
00
00
01
01
10
10
10
01
00
01
01
01
01
11
00
00
10
10
00
00
10
10
00
00
00
00
10
10
10
01
10
00
00
01
00
00
00
11
00
00
10
00
00
11
11
10
00
10
00
01
00
00
00
00
11
10
00
10
11
01
11
11
10
01
10
00
00
10
11
11
00
11
11
10
10
00
01
00
01
10
00
01
10
10
10
01
00
10
10
11
00
11
00
00
10
10
00
00
00
11
01
00
10
10
01
11
10
00
00
11
10
00
11
10
01
01
00
00
01
11
01
10
10
11
01
01
10
10
00
11
11
01
10
00
10
01
00
00
11
10
11
10
00
10
00
10
00
00
10
11
10
00
10
00
00
10
10
01
10
00
00
00
10
10
10
10
10
10
01
00
00
00
10
01
11
11
00
01
00
01
11
10
10
10
00
01
11
01
00
10
00
11
00
00
00
11
11
00
10
11
01
00
01
11
10
00
10
01
11
11
01
10
01
10
10
00
11
11
10
10
00
01
11
01
00
00
01
10
00
10
00
00
00
00
10
00
11
10
01
01
11
11
10
00
10
11
11
00
01
00
11
11
00
10
01
10
10
10
01
00
10
10
10
00
00
00
01
00
10
01
10
11
10
10
00
01
10
11
10
01
00
11
00
01
11
11
11
01
00
11
11
10
01
11
10
00
10
00
10
01
00
10
10
01
00
10
10
01
10
01
10
10
00
10
00
00
10
00
10
10
10
00
10
01
10
10
00
00
00
10
00
01
11
00
10
00
00
00
00
10
11
00
00
00
10
10
00
00
01
00
00
10
00
11
00
10
11
11
11
00
10
10
00
00
11
00
10
10
11
10
01
00
00
11
11
01
10
00
01
11
10
10
01
00
10
01
10
11
10
10
00
10
11
00
10
10
11
10
00
00
10
11
01
10
11
10
10
01
00
00
10
00
00
11
10
01
11
11
10
00
01
10
00
00
10
11
10
10
10
01
00
11
00
00
10
10
10
10
11
10
00
10
11
10
00
00
00
00
10
10
10
10
00
10
00
10
00
10
11
10
10
01
01
10
00
00
10
10
01
11
10
10
01
00
10
10
10
11
10
10
00
10
00
00
10
10
10
01
00
00
00
01
00
01
10
10
00
10
10
01
10
10
00
00
01
01
11
10
11
00
00
01
00
10
10
10
01
01
10
00
10
10
10
10
00
00
01
01
01
11
10
00
00
10
11
10
00
00
01
10
10
00
10
00
00
10
01
01
10
00
00
10
00
10
10
00
11
11
10
00
00
00
10
00
00
11
10
00
10
00
00
10
00
10
11
00
10
00
10
10
10
00
11
00
00
10
10
01
01
00
01
01
00
00
00
00
10
11
01
00
10
11
00
01
10
11
00
01
10
10
00
00
11
10
01
00
10
01
10
11
10
01
00
00
10
11
10
00
00
00
11
00
00
00
11
10
00
00
10
00
10
00
00
00
10
00
10
10
01
11
00
11
11
00
01
10
10
01
11
01
11
11
01
00
11
10
01
00
10
00
00
00
10
10
00
01
11
00
10
00
10
10
10
00
10
01
11
11
11
00
00
10
10
00
10
11
00
00
10
10
10
00
10
11
11
11
00
10
11
00
00
01
00
10
10
01
00
11
00
00
10
11
01
00
01
10
00
00
01
00
11
11
10
10
11
10
01
11
10
01
01
11
10
10
10
01
01
10
01
00
10
01
00
11
00
00
10
00
00
10
00
00
00
00
01
00
00
00
10
11
00
10
10
11
01
01
01
10
01
00
10
00
01
10
11
01
00
11
10
10
00
00
11
01
00
10
10
00
00
10
10
00
01
01
11
01
00
00
10
00
00
11
10
10
00
01
10
10
11
10
00
11
00
00
10
00
00
00
00
00
00
00
10
00
11
10
01
10
11
10
11
00
01
10
10
10
11
11
00
00
10
00
10
11
00
01
10
01
00
00
01
11
11
11
10
00
01
11
11
00
00
11
10
01
10
00
01
10
10
00
11
10
11
00
01
11
00
00
10
10
00
10
11
00
10
00
10
11
00
11
00
10
11
01
01
11
01
10
00
01
10
11
00
00
10
11
00
11
10
10
10
10
01
00
10
10
10
00
10
10
10
00
00
10
11
00
11
00
11
10
00
11
10
10
00
00
10
10
00
11
00
00
01
10
00
11
10
00
00
00
11
10
11
00
00
11
00
00
10
01
01
10
11
00
00
10
01
00
00
01
10
01
01
10
10
00
00
10
10
11
00
11
01
01
00
00
10
10
10
10
01
00
11
00
10
10
11
00
00
11
00
01
10
11
11
01
00
00
10
01
11
00
10
10
00
10
00
10
10
01
10
10
00
11
11
00
00
00
00
11
01
11
10
10
01
00
00
10
10
01
00
10
10
11
10
10
01
00
01
10
11
00
00
00
10
01
10
11
10
01
01
01
10
00
11
10
10
01
00
00
00
00
11
11
00
10
00
10
00
10
11
01
00
10
10
00
10
11
00
10
11
00
00
00
01
00
01
00
01
11
10
00
01
10
10
10
00
10
01
00
10
00
00
00
00
10
00
00
00
10
11
00
10
11
10
01
01
00
11
01
01
00
01
00
10
10
01
10
01
10
10
00
10
10
01
00
11
10
10
10
10
10
00
00
10
10
00
00
01
10
00
10
10
00
01
00
01
01
00
11
00
01
11
11
10
00
10
10
11
00
10
01
10
10
10
01
00
10
11
10
01
00
00
10
11
01
11
00
00
10
10
10
10
00
01
00
11
10
00
00
00
10
11
10
01
00
01
10
01
00
00
01
01
10
10
01
00
00
10
10
00
00
01
10
01
00
01
11
11
01
10
00
10
10
00
00
00
01
11
11
01
01
01
10
11
00
10
10
00
01
10
10
01
01
10
10
00
10
00
01
00
01
11
10
00
01
10
00
11
10
00
10
11
11
10
11
10
11
10
00
11
00
00
10
00
00
01
01
11
10
00
11
00
11
00
11
11
11
10
10
10
00
00
00
00
00
10
01
10
11
00
01
00
00
11
10
01
10
11
00
01
00
10
01
01
11
11
11
00
00
11
01
00
10
00
00
00
01
11
10
01
00
10
01
00
00
10
10
00
01
10
00
01
10
10
00
00
10
10
00
00
00
01
00
00
00
10
00
11
10
00
11
10
00
11
10
10
01
10
10
00
00
00
01
10
01
10
00
10
00
11
00
11
10
00
11
00
01
00
00
10
10
01
10
00
10
01
11
11
00
11
10
11
00
11
00
00
00
10
10
01
10
00
10
01
00
11
01
10
01
10
00
00
10
11
10
00
10
11
11
00
01
10
10
10
10
11
00
00
11
01
00
10
00
00
10
01
00
01
11
10
10
00
00
10
01
00
10
10
01
10
00
00
10
00
00
11
11
01
11
11
01
00
00
00
00
10
11
00
00
11
11
10
11
11
11
10
11
11
11
01
00
01
10
00
11
10
01
00
10
11
00
00
10
00
00
10
00
01
11
10
01
00
10
10
10
01
11
00
00
00
00
10
10
00
10
10
11
10
00
01
00
00
11
00
11
11
11
11
11
00
10
10
00
00
00
00
10
10
11
00
10
01
00
11
10
10
00
10
10
00
01
11
00
00
00
00
00
00
10
11
01
00
11
11
00
11
01
11
01
00
10
00
00
10
00
10
10
00
00
00
00
00
11
00
00
10
11
01
11
00
01
00
10
00
01
01
10
00
11
10
11
10
00
10
00
00
00
11
10
10
00
10
11
10
11
00
10
10
00
00
00
00
11
00
00
01
10
00
10
10
01
00
00
00
00
11
10
10
00
00
00
11
10
10
10
01
11
11
00
00
00
11
10
00
11
10
10
01
11
01
11
10
11
10
00
10
00
00
10
10
01
11
00
01
10
11
10
10
01
11
01
11
11
10
00
00
11
00
01
00
10
10
11
11
00
00
11
00
00
00
10
10
01
11
11
01
00
00
00
10
00
00
00
01
00
01
01
10
01
10
00
11
10
00
00
01
10
10
10
00
01
01
11
10
10
10
01
10
00
00
11
00
10
00
01
11
10
00
01
11
10
01
00
10
10
00
10
00
00
10
11
01
00
11
10
00
10
01
10
10
00
00
00
10
01
00
10
11
00
10
01
10
11
10
01
00
10
10
00
10
10
00
00
11
10
10
10
00
00
00
01
00
10
10
10
01
10
00
00
10
10
10
01
10
11
00
01
01
01
10
11
10
01
10
00
01
00
10
10
01
10
00
00
10
00
10
10
11
00
01
00
11
10
00
10
01
10
00
10
01
00
10
11
01
10
01
01
10
10
10
10
01
00
10
10
00
10
00
01
01
10
00
00
10
00
10
10
01
00
00
00
01
01
00
10
11
11
10
00
00
01
00
10
10
11
00
01
10
10
00
11
00
01
11
11
10
10
11
00
01
10
01
10
00
00
00
00
10
11
00
00
10
00
10
11
10
00
10
11
10
10
11
00
00
11
01
00
00
10
10
01
11
11
01
00
10
10
10
00
00
11
11
00
10
00
00
00
10
11
11
00
00
11
00
01
10
00
00
10
10
01
10
00
11
10
00
01
10
00
10
00
10
11
10
11
00
11
01
00
00
01
10
10
11
00
01
10
00
00
00
01
11
11
00
00
00
10
01
10
01
10
00
01
10
10
10
10
00
00
01
10
01
00
00
00
00
10
01
10
10
11
00
01
11
10
10
11
00
00
01
10
10
10
11
01
01
11
00
11
10
11
01
10
10
01
00
01
01
10
00
10
10
11
01
00
00
00
11
00
00
11
11
10
01
00
01
11
11
10
10
00
01
10
11
01
01
10
00
10
00
10
10
10
00
00
00
00
01
00
11
11
00
10
00
01
10
00
10
11
11
01
00
01
11
10
10
11
10
00
11
10
00
01
11
00
10
10
10
10
00
00
00
11
00
00
10
10
00
00
00
10
11
01
10
01
10
10
00
10
10
00
01
10
11
10
00
10
10
00
10
00
10
11
00
00
10
10
01
10
11
11
10
01
10
01
00
10
11
01
00
00
01
10
00
10
01
10
10
00
10
11
00
10
01
10
10
11
00
10
00
00
00
10
11
00
01
10
01
01
11
10
01
00
11
10
10
11
10
10
01
10
11
11
01
01
10
00
01
01
11
01
10
10
01
01
00
10
10
01
10
00
00
10
00
10
11
00
10
00
01
10
11
00
11
00
11
10
11
00
10
01
00
10
10
00
00
11
10
01
01
00
11
10
10
00
00
11
00
11
01
00
01
10
00
00
10
10
11
00
11
00
00
00
01
11
11
10
01
10
00
00
00
10
00
00
10
10
10
11
00
01
01
10
11
11
11
11
10
01
00
00
10
01
10
10
00
10
01
10
10
00
00
00
00
10
00
01
10
00
11
10
01
10
00
00
00
00
11
00
01
00
00
00
10
00
01
11
01
10
10
00
10
00
11
10
01
01
00
01
11
01
10
10
01
11
00
00
11
10
01
00
00
11
10
11
10
00
01
10
00
00
01
00
00
10
10
00
11
10
00
10
00
11
10
10
10
11
00
00
10
10
10
00
10
10
01
10
11
00
00
10
00
00
10
10
00
00
01
00
11
11
01
01
01
00
10
11
00
00
00
10
00
11
11
00
00
10
10
01
10
11
10
00
00
10
10
00
11
01
10
01
10
11
00
00
00
11
10
00
01
00
10
10
10
10
10
00
11
01
01
10
00
00
01
00
01
10
10
10
10
00
00
00
10
10
00
00
10
10
00
00
00
00
10
11
00
01
10
10
10
00
00
11
00
00
00
10
00
01
01
10
00
00
00
11
10
00
11
10
00
01
00
10
00
00
00
00
10
10
11
00
00
00
10
10
01
10
11
00
00
10
01
00
00
01
10
10
00
01
10
00
10
00
00
01
10
00
00
10
01
00
10
11
00
11
10
10
00
00
10
10
10
11
00
01
10
11
00
10
11
01
01
00
10
10
10
01
10
01
00
00
10
00
11
10
00
00
10
00
00
10
01
10
10
10
10
10
01
00
01
01
10
00
01
10
10
10
00
11
00
00
11
10
10
00
01
11
00
10
01
01
11
01
00
10
11
10
11
00
01
10
11
01
10
00
00
10
11
10
01
10
11
11
10
00
11
11
01
00
00
00
00
10
10
10
00
00
10
10
00
00
10
10
00
11
00
00
11
11
00
11
00
11
01
00
01
10
10
00
01
11
01
00
01
10
10
10
01
00
11
10
00
00
11
00
00
10
10
00
00
00
10
01
00
11
11
11
01
00
11
00
11
11
10
00
00
10
10
10
00
10
00
00
00
01
00
11
10
01
10
00
01
11
10
01
10
10
00
10
01
10
10
01
10
01
00
10
00
00
11
10
00
00
10
00
10
10
10
00
10
10
00
00
00
11
00
00
10
00
11
00
01
10
11
00
00
11
10
11
10
01
00
10
10
10
11
01
01
00
11
10
00
11
10
11
10
01
00
10
10
00
11
10
10
01
00
00
11
10
10
11
00
00
00
11
00
11
10
01
10
11
10
10
10
00
00
00
11
10
10
00
10
11
10
11
00
10
10
00
10
11
00
00
11
10
10
00
11
11
11
01
01
10
10
01
01
11
00
01
10
10
10
01
01
11
11
00
01
01
11
10
00
00
11
00
00
00
11
10
00
00
11
00
01
11
11
11
00
00
00
10
00
00
10
10
10
11
00
11
00
10
01
00
10
00
10
01
10
00
10
11
10
11
10
11
00
00
11
01
00
10
11
00
00
10
00
11
00
10
11
11
00
10
00
00
11
01
00
00
10
00
10
10
01
10
11
10
10
11
10
00
00
11
10
00
11
00
11
10
11
10
00
01
10
11
00
10
11
11
10
00
10
11
00
01
00
10
00
00
10
10
00
00
10
10
01
11
10
10
00
10
11
10
00
00
11
11
00
10
00
11
11
01
00
10
00
01
00
00
10
10
00
01
00
11
11
10
10
00
01
10
00
10
00
00
00
11
01
00
00
10
00
01
01
10
10
00
10
10
01
01
10
10
00
01
10
00
01
00
10
00
00
01
01
00
11
10
01
00
00
00
00
10
10
00
00
11
10
01
10
01
11
00
11
11
01
00
00
01
10
00
11
11
11
01
11
00
11
10
01
00
10
00
00
01
11
00
01
10
11
01
11
00
10
10
10
10
00
00
10
11
01
00
10
11
00
01
10
10
10
01
00
10
01
00
01
00
00
01
01
10
10
00
10
11
10
00
01
10
10
00
00
00
11
10
10
00
01
00
10
00
11
01
01
01
00
00
10
01
00
10
10
10
01
10
11
01
10
00
00
10
10
10
01
00
00
10
00
00
00
00
11
11
10
10
10
00
00
01
00
10
00
00
11
00
10
10
10
10
11
01
01
00
10
01
10
11
01
00
01
00
00
11
01
00
10
00
01
00
10
00
10
11
10
00
01
10
11
10
01
10
00
00
00
11
01
11
10
01
11
11
00
01
10
10
10
01
10
00
10
10
00
00
01
11
10
00
00
00
00
10
00
10
10
00
00
00
11
11
10
10
10
01
10
00
01
11
00
01
00
10
00
10
10
00
00
10
10
00
10
01
00
01
01
10
00
11
00
11
10
10
00
00
00
00
10
01
11
10
00
10
10
01
01
10
11
00
01
10
10
01
00
10
10
10
10
00
00
10
10
10
11
10
10
10
11
11
11
01
01
10
10
10
10
10
00
00
10
01
11
00
00
11
00
00
11
00
00
01
00
10
00
11
10
00
11
11
10
10
00
01
11
01
00
00
00
10
10
00
00
11
01
01
10
10
10
00
01
11
10
00
10
11
10
01
01
11
01
01
00
01
00
11
10
00
11
11
01
00
00
10
00
10
00
00
01
00
00
10
11
10
00
00
11
10
01
01
10
11
01
00
10
10
01
01
10
10
11
11
11
00
11
10
01
11
11
00
00
01
11
10
01
00
10
11
10
00
10
10
01
10
10
01
10
11
10
10
01
01
10
10
01
00
10
10
00
01
00
01
11
00
00
10
10
01
00
10
10
01
00
10
00
01
10
10
10
01
00
00
11
10
10
11
10
01
00
10
10
00
10
00
01
11
10
10
10
01
00
01
00
10
00
00
10
11
10
01
11
00
10
10
00
01
01
10
10
10
10
01
01
11
00
10
11
00
00
00
11
10
00
11
10
00
01
00
00
10
10
11
00
00
10
10
10
00
11
11
00
00
01
00
10
00
00
00
10
11
11
10
01
00
00
00
01
10
10
10
00
00
00
00
11
01
00
11
10
10
01
10
10
10
10
00
10
00
00
00
10
10
00
11
10
00
00
10
01
00
01
00
00
10
01
01
01
10
00
11
11
00
00
11
10
01
11
11
10
00
00
01
11
00
01
11
10
01
00
10
10
01
00
10
00
10
00
11
10
01
00
00
11
10
01
10
00
01
00
10
10
01
00
00
10
11
01
10
10
00
00
00
00
00
00
11
10
10
00
00
11
10
11
11
00
00
10
10
01
10
00
00
10
10
00
01
11
10
11
00
10
10
01
00
11
01
00
01
01
11
00
00
11
10
10
00
00
11
10
11
01
00
10
10
00
00
00
11
11
10
00
10
11
00
00
00
11
00
10
10
00
10
10
10
10
00
00
10
01
00
00
10
10
00
00
10
11
00
10
01
00
01
00
00
00
01
10
10
01
00
10
00
10
10
00
10
01
00
11
10
11
10
00
10
10
00
00
01
11
00
10
01
10
11
10
10
10
11
10
10
00
00
00
01
10
00
01
10
00
10
00
10
10
00
11
11
01
10
00
01
01
00
01
10
11
01
10
10
01
00
10
00
01
00
10
10
11
00
01
11
01
00
10
11
10
01
00
11
10
00
00
10
10
00
10
11
00
10
01
01
10
10
00
00
11
10
00
10
11
11
00
10
10
00
00
10
00
00
00
01
10
11
00
00
11
00
11
10
00
01
00
10
00
11
10
11
11
00
00
10
11
10
10
00
00
10
10
11
10
01
10
11
11
00
01
11
10
00
11
10
00
01
10
10
10
11
01
01
01
10
10
00
00
01
00
11
10
00
00
00
01
01
00
10
00
10
10
00
10
01
10
11
10
11
01
10
10
10
00
00
11
11
01
11
11
00
00
10
01
00
10
11
10
00
00
11
10
10
00
00
10
10
10
01
10
00
10
01
10
10
10
10
01
00
11
00
10
10
01
10
00
10
00
11
01
00
10
01
00
01
10
01
00
11
00
11
10
00
11
01
01
10
00
01
01
11
00
01
11
10
11
01
00
10
00
00
01
10
10
10
00
01
11
01
10
11
00
10
10
00
00
10
11
00
00
00
00
10
11
00
00
11
11
00
00
11
10
01
00
10
00
00
10
11
10
11
01
10
11
11
10
11
10
01
01
10
10
00
11
00
00
10
11
10
10
00
00
10
10
10
00
00
10
11
00
00
01
10
00
11
00
00
10
00
00
11
10
00
00
10
10
10
10
00
00
11
11
10
00
11
10
00
11
11
10
10
10
01
10
10
00
00
00
11
11
10
00
01
00
00
01
10
01
01
10
10
11
01
10
00
00
10
00
00
00
10
00
10
10
11
01
10
01
10
10
00
00
00
00
00
10
10
10
00
10
10
01
01
10
01
00
00
00
01
00
00
00
00
01
10
11
00
00
10
10
11
10
10
00
10
01
10
10
10
01
00
00
11
11
00
01
01
10
01
10
00
10
11
00
01
10
11
10
11
01
00
11
10
10
00
00
00
10
00
01
00
10
10
00
10
00
10
00
11
10
10
10
00
01
10
01
01
10
00
00
01
11
00
01
11
10
10
11
00
10
10
00
00
01
00
10
11
00
11
00
11
00
01
11
10
11
00
11
10
00
01
00
11
00
10
01
00
01
10
10
00
00
11
11
00
01
01
00
10
10
00
11
11
01
00
01
10
11
01
01
10
10
10
00
10
11
00
10
10
00
10
11
00
00
00
10
10
01
00
00
10
00
01
10
11
10
11
00
11
00
10
10
01
10
00
00
10
10
10
11
10
10
00
00
00
00
00
10
01
00
00
00
00
11
01
00
00
00
10
11
00
10
11
11
00
00
00
10
00
01
00
00
10
01
10
11
11
00
01
00
10
10
10
00
11
10
10
10
10
01
10
11
10
00
00
11
00
00
11
01
00
00
11
10
01
00
00
00
10
00
00
10
00
10
10
00
10
00
10
10
10
00
00
00
10
10
10
01
10
01
01
11
00
01
00
11
00
00
10
00
00
10
11
10
01
00
10
11
00
01
10
11
00
11
10
10
00
00
10
00
00
00
00
00
10
00
10
10
10
10
00
00
01
10
10
00
10
10
10
11
10
01
10
10
10
00
00
00
00
11
11
00
11
11
00
10
10
10
00
10
10
11
10
00
10
00
00
01
10
10
10
00
00
00
00
00
00
10
00
11
10
11
00
00
01
01
10
10
11
00
00
00
11
10
01
00
11
00
11
00
00
01
00
01
11
11
11
00
11
10
00
11
00
01
11
10
10
00
00
01
00
11
10
10
00
11
00
01
10
10
00
00
00
11
10
11
11
10
11
11
00
10
10
00
01
11
11
00
10
11
10
00
10
00
00
10
01
10
00
01
11
10
10
00
10
10
10
01
00
00
10
10
10
10
01
10
11
10
11
10
00
00
11
11
01
00
00
01
00
01
10
10
00
01
00
10
11
01
01
10
01
00
00
00
10
10
10
11
00
00
10
10
00
01
10
00
01
10
10
11
00
01
10
10
10
01
11
11
11
01
00
00
00
10
00
00
10
10
11
01
01
10
00
00
00
00
10
01
01
01
00
01
00
10
10
01
11
01
11
10
10
01
00
00
01
10
11
10
11
00
00
01
10
10
00
10
11
10
10
00
10
01
00
11
11
00
10
00
10
01
00
10
10
00
01
01
00
00
10
00
01
10
10
11
00
00
01
11
00
10
01
00
00
10
10
11
11
01
00
00
00
10
10
10
00
00
10
10
11
00
01
00
00
00
00
00
10
10
00
11
10
00
11
00
10
11
00
11
01
01
00
10
00
10
10
00
10
10
10
01
00
10
10
10
10
00
00
11
01
10
01
01
10
00
01
01
10
01
00
00
10
11
01
10
01
00
10
01
11
10
10
10
11
11
00
00
00
10
00
00
10
00
00
11
00
01
10
11
00
01
10
10
00
00
01
11
01
10
00
00
11
01
10
10
00
00
10
11
11
01
01
00
11
01
00
10
10
00
01
01
10
10
11
10
00
10
00
00
00
11
10
10
00
00
10
00
10
10
11
10
10
01
01
10
00
10
10
00
00
01
10
10
00
00
00
00
01
10
11
10
00
01
01
00
10
00
11
11
11
01
10
01
00
10
00
10
10
00
00
00
01
01
10
01
11
00
00
10
11
11
00
10
00
01
00
00
10
11
01
11
10
00
10
00
10
00
00
10
10
01
00
10
00
10
00
11
11
00
00
10
10
01
01
10
11
01
10
01
00
11
10
11
00
00
00
00
01
10
00
00
11
01
01
10
10
10
00
01
00
10
00
10
11
10
10
00
00
11
10
00
00
11
00
00
11
01
11
10
00
00
01
10
10
11
00
10
11
10
00
10
11
00
00
00
00
10
00
10
00
11
10
11
11
10
00
00
10
11
00
01
10
00
10
10
00
00
00
10
10
00
00
11
00
01
10
01
10
10
00
11
10
10
10
11
00
01
11
00
10
10
00
00
01
10
00
00
00
10
10
10
11
00
11
10
01
00
00
00
11
11
10
00
00
01
10
00
00
10
00
10
11
00
10
10
00
00
10
00
00
01
10
11
11
10
11
11
01
10
10
00
10
00
00
10
10
00
00
00
11
11
11
00
00
10
01
10
11
01
01
10
10
01
11
10
00
11
10
11
00
01
00
00
00
00
01
01
11
10
00
00
11
01
01
01
10
10
10
00
11
00
01
10
11
00
00
10
10
10
11
00
10
00
00
00
10
10
01
01
10
01
00
01
10
00
01
10
10
00
11
10
01
01
00
11
00
00
00
01
11
01
01
10
10
00
00
00
01
10
11
01
00
10
01
00
11
01
00
10
11
01
11
00
00
01
00
01
11
11
00
10
10
10
11
10
00
01
11
10
00
11
00
01
10
00
10
10
01
10
00
00
10
10
01
10
01
00
01
11
11
11
10
11
01
00
10
11
00
00
00
10
10
00
11
00
11
10
10
01
10
10
01
01
11
11
10
01
11
10
00
10
01
00
00
10
11
00
11
10
11
00
10
10
00
00
11
10
01
01
10
00
10
00
00
00
11
11
10
11
10
00
10
11
00
11
10
01
11
10
00
10
11
00
00
00
11
10
01
00
01
11
10
00
10
10
00
11
11
00
01
01
10
10
01
01
01
10
10
10
00
00
11
01
00
01
10
11
00
00
00
00
10
10
10
10
00
01
10
11
01
00
11
10
10
10
10
00
10
10
00
10
01
00
10
01
00
00
00
11
00
00
11
10
01
11
10
00
10
11
01
00
11
11
01
00
00
00
10
10
01
10
10
00
00
01
10
10
00
00
11
00
00
10
10
11
00
00
00
00
00
00
00
00
10
10
00
11
11
11
01
01
00
10
00
00
00
10
10
00
00
01
00
11
10
10
11
10
11
10
10
00
11
01
01
10
00
11
01
00
01
11
10
00
00
10
10
00
00
00
10
10
00
00
10
10
00
10
01
01
10
11
01
11
00
10
00
11
10
11
00
00
10
00
10
01
01
10
00
11
10
00
00
10
10
10
11
00
00
00
00
10
11
00
10
01
10
10
00
10
10
01
00
10
00
00
10
10
10
00
01
10
01
10
01
00
11
11
00
01
00
10
10
00
10
10
11
01
00
10
10
00
11
00
10
11
00
11
11
01
00
00
01
10
11
10
00
01
00
00
11
00
00
11
10
10
10
00
10
01
10
01
01
01
00
10
00
01
01
10
10
10
00
11
10
00
11
10
00
10
00
00
00
11
10
01
10
00
11
10
00
11
11
00
00
11
00
10
10
01
10
00
10
10
01
10
00
10
10
00
10
00
00
00
01
11
11
10
11
00
01
10
01
10
11
11
01
10
00
11
00
00
10
01
10
01
01
01
00
10
10
11
10
10
01
00
10
11
01
01
11
01
10
10
00
11
10
00
01
10
11
11
00
11
10
11
01
00
11
10
00
10
00
01
11
01
00
10
11
10
10
00
00
10
00
00
10
10
00
10
10
11
10
00
01
00
00
10
00
10
10
01
00
11
10
01
00
00
10
11
01
00
00
11
01
01
01
10
00
10
11
00
00
10
11
10
11
10
00
01
10
10
00
01
10
10
00
11
00
00
00
01
11
10
10
11
11
00
10
11
00
01
00
10
10
11
10
01
00
10
11
00
10
10
01
10
10
00
10
00
00
10
00
00
11
11
00
01
00
00
11
00
00
11
11
00
00
00
01
10
11
10
01
01
10
10
11
01
00
01
10
11
10
10
00
01
10
11
01
01
11
10
10
00
11
11
10
00
00
00
01
11
00
11
10
10
10
10
10
11
10
00
11
00
10
10
00
10
10
11
01
00
00
10
10
10
10
01
01
11
00
00
00
10
10
00
00
11
11
00
10
10
00
00
00
10
00
11
10
11
00
11
00
10
00
00
10
11
00
11
10
10
00
10
00
10
01
01
10
10
10
11
11
01
10
00
00
11
10
00
00
11
10
10
11
01
00
00
11
10
11
10
00
10
00
00
01
11
11
00
01
00
10
00
11
00
00
00
01
11
10
00
10
11
01
10
00
10
11
00
01
00
10
11
10
10
00
11
10
10
01
01
01
10
10
00
00
01
11
00
11
11
01
01
11
00
01
11
11
00
10
11
00
00
10
10
01
01
11
00
00
00
00
00
00
10
10
10
11
11
11
00
00
10
10
10
10
00
00
01
01
10
10
00
00
00
11
00
00
10
10
11
00
11
10
11
10
01
00
11
10
01
10
10
10
01
00
10
01
10
01
01
11
00
10
00
00
10
10
11
00
10
01
01
10
00
00
00
01
11
00
00
10
00
01
00
11
11
10
00
01
10
01
10
10
00
11
10
00
00
10
10
11
00
00
01
10
00
01
10
11
00
10
00
10
11
10
11
00
10
01
00
10
00
00
10
11
00
00
10
00
01
10
00
10
01
00
11
00
00
10
11
00
00
00
10
10
00
00
10
10
11
10
00
01
10
01
11
11
11
00
00
11
00
11
11
11
01
01
11
01
01
10
00
01
10
01
11
00
00
01
10
11
00
00
10
10
10
00
00
10
00
00
10
10
00
00
00
10
11
00
00
10
00
00
00
00
10
00
00
00
10
00
00
11
10
01
01
00
10
00
10
11
01
01
11
10
11
10
01
01
00
11
10
10
10
00
01
11
01
01
11
10
10
00
10
10
00
01
11
11
10
00
00
00
11
00
10
10
00
00
10
00
00
00
10
00
10
01
10
01
00
10
00
11
01
11
00
00
01
10
00
01
10
01
00
01
10
11
01
10
10
00
01
10
01
00
10
11
00
10
01
00
10
00
00
10
00
10
10
00
01
00
11
11
11
10
01
10
00
00
11
11
01
01
11
01
00
01
00
01
10
10
11
01
10
11
11
10
00
00
10
10
00
00
00
00
00
01
10
01
10
11
11
00
10
10
01
00
10
10
10
11
01
00
00
11
00
01
10
11
10
01
00
10
01
00
10
11
10
01
00
10
01
11
11
01
11
10
01
01
11
10
00
01
10
00
00
10
10
01
00
10
01
01
00
01
11
10
10
11
01
00
00
00
01
10
10
10
00
10
00
10
10
10
00
10
10
10
10
00
10
10
00
00
10
00
00
00
11
11
01
10
00
10
10
00
11
10
00
01
01
10
10
10
10
00
10
01
01
10
11
00
11
10
10
01
11
00
01
00
10
10
10
10
00
01
10
10
00
00
11
10
10
00
10
11
00
01
11
00
10
00
00
00
01
01
10
00
11
00
00
10
11
11
10
00
10
00
00
10
01
10
00
11
10
00
00
11
11
01
01
10
10
10
01
00
10
10
00
11
10
10
00
01
10
00
11
10
10
00
10
10
00
10
01
00
10
10
00
00
00
00
11
00
11
11
10
10
01
00
00
01
10
10
00
10
10
11
10
01
00
11
00
10
00
10
11
10
01
00
10
10
01
10
00
01
01
01
00
00
10
01
10
11
10
01
10
11
00
11
00
00
01
10
00
00
10
10
10
10
00
10
00
11
10
00
11
10
00
00
00
11
10
00
00
11
10
11
01
11
10
01
11
10
00
00
00
00
00
11
11
10
11
01
10
10
10
00
00
00
10
10
10
00
00
11
11
00
01
00
00
00
01
00
11
10
00
11
00
11
10
01
00
00
01
10
11
10
10
00
11
00
10
10
00
00
00
00
10
11
00
00
11
10
01
11
10
01
11
00
00
10
10
10
11
01
11
00
00
11
00
11
10
01
01
11
00
00
10
10
10
10
11
01
00
00
10
00
00
00
00
10
11
11
10
01
00
00
11
10
00
00
10
00
10
00
00
00
00
00
01
01
01
00
10
10
00
10
00
11
11
00
01
00
01
00
00
10
10
00
00
01
11
01
00
10
10
00
00
11
10
01
01
00
10
10
10
00
01
10
10
11
11
01
01
10
11
11
00
00
00
00
00
11
10
00
10
00
00
10
10
01
10
11
00
11
10
00
01
01
10
00
10
11
11
11
01
11
01
10
00
00
10
10
01
00
11
00
10
01
10
11
00
10
11
01
00
10
10
01
01
00
01
10
10
00
10
11
00
00
10
00
11
00
00
01
10
01
01
10
11
00
11
10
10
00
00
01
10
10
01
11
10
00
01
11
10
00
10
10
01
00
10
01
10
00
01
10
10
10
00
10
11
00
00
10
00
10
00
00
00
00
10
10
11
00
11
00
01
10
10
01
11
01
01
11
10
10
00
00
10
10
10
00
01
10
10
01
00
10
10
01
00
10
01
10
10
01
10
00
01
01
01
10
11
01
10
10
10
00
11
10
01
10
11
00
10
10
00
01
10
00
10
00
01
10
10
00
01
11
11
00
01
10
11
10
00
10
11
00
11
10
01
01
11
11
11
01
01
10
10
00
00
00
10
11
10
01
00
00
10
10
01
00
00
10
11
01
10
11
00
00
10
10
00
10
00
00
11
01
11
11
10
10
00
00
10
01
01
11
11
01
00
01
00
10
10
01
01
11
00
11
10
10
11
01
00
01
11
11
01
00
00
11
10
10
10
01
00
11
01
10
01
01
11
00
00
10
10
10
00
10
00
01
01
10
00
00
10
10
00
00
00
10
10
01
11
10
11
00
00
00
10
10
10
01
00
00
01
00
10
10
10
00
00
11
10
00
10
11
10
10
01
00
00
10
00
01
10
00
00
01
10
10
01
10
10
00
00
01
11
11
00
00
00
10
10
01
10
11
10
00
01
01
00
10
10
11
01
10
10
00
01
10
01
01
10
10
11
00
11
10
00
10
01
11
01
11
00
01
11
00
00
11
10
10
11
00
11
10
11
00
00
10
00
10
10
10
10
00
01
11
11
10
10
10
10
10
00
00
10
00
01
01
10
00
01
10
01
10
11
00
11
10
00
00
11
00
01
00
11
10
10
00
00
10
00
10
10
10
00
10
10
01
00
10
00
00
00
00
10
11
10
00
01
01
00
10
11
01
00
10
00
10
00
10
10
00
01
11
00
00
11
00
11
11
10
10
11
00
00
00
01
00
00
10
10
10
10
01
01
00
10
10
10
00
00
10
10
00
01
01
10
10
10
11
01
01
11
10
01
11
10
11
11
00
10
10
00
00
01
01
00
01
11
10
11
10
00
00
10
00
01
10
11
00
00
00
11
01
10
10
11
00
00
00
10
10
11
10
00
00
10
11
10
10
00
10
01
00
11
01
11
10
11
11
01
01
10
10
10
01
00
11
00
00
10
01
00
10
00
00
10
10
11
00
10
10
11
11
00
00
01
00
01
11
10
00
01
01
10
11
01
11
00
11
00
01
01
00
10
11
01
00
10
00
00
00
10
01
11
00
11
10
01
10
10
10
10
10
10
00
00
10
11
10
10
01
00
01
01
00
10
10
10
01
01
10
00
01
00
01
01
01
10
10
01
01
10
10
00
00
11
00
00
00
00
00
10
10
11
10
00
01
00
00
10
11
00
11
11
01
11
10
00
10
10
01
10
11
00
10
11
01
00
11
00
00
00
00
01
10
00
01
11
01
00
01
10
01
00
00
10
10
01
00
01
00
00
10
01
00
10
01
01
00
00
01
00
10
10
00
00
10
11
10
00
00
00
10
10
00
01
11
11
01
11
00
01
10
00
01
11
10
00
10
10
10
01
00
11
01
11
01
00
10
00
00
11
00
00
11
10
11
00
11
00
11
11
11
00
00
10
01
00
11
11
01
00
10
00
10
10
00
01
00
10
00
10
01
00
01
00
00
10
11
00
01
01
10
11
01
10
00
10
10
00
01
00
11
00
01
10
00
00
10
00
00
10
10
10
00
11
00
00
00
00
00
10
11
00
10
11
10
01
11
11
00
00
10
00
10
11
00
00
00
01
00
00
11
10
00
00
00
01
10
11
00
10
01
10
10
01
10
00
00
11
10
00
00
10
00
01
11
00
00
00
00
01
11
10
10
10
00
00
10
00
00
00
00
00
00
10
11
10
00
11
00
11
11
11
00
00
00
00
00
01
11
10
11
10
11
01
00
11
10
00
00
00
11
10
01
11
00
10
10
11
00
01
01
01
10
10
00
10
10
10
01
00
01
10
10
00
10
11
10
11
00
11
11
01
00
10
10
01
10
00
01
11
10
10
01
00
10
00
11
11
00
00
10
11
00
00
10
10
00
10
00
00
11
00
00
01
00
10
10
11
01
00
10
01
10
10
01
11
10
01
11
00
11
00
01
11
00
10
10
01
11
00
00
11
11
10
11
00
00
11
11
00
11
10
00
00
10
10
10
10
00
01
00
01
10
10
10
11
10
01
10
11
00
10
10
00
10
11
10
00
01
01
10
00
10
10
00
01
00
11
10
11
00
00
00
10
10
00
00
11
01
00
01
00
00
11
10
10
00
10
10
11
10
00
00
01
00
10
00
00
11
00
01
01
01
10
01
10
01
00
01
10
10
10
00
11
10
01
00
10
10
01
10
10
10
01
10
10
01
10
01
10
00
01
01
11
10
11
00
00
01
01
10
10
00
10
01
00
00
00
00
00
00
10
10
00
10
10
11
10
00
01
10
11
10
00
10
11
11
00
10
10
11
00
10
00
00
11
00
00
10
10
01
11
01
01
10
10
10
10
00
01
11
10
00
10
10
10
00
00
00
10
10
10
11
10
10
11
10
00
01
01
10
00
10
10
00
00
00
01
01
00
00
10
10
01
00
00
01
00
00
01
01
10
11
10
10
10
01
11
11
10
11
01
01
01
00
00
11
10
00
11
00
00
10
00
10
11
10
00
00
11
10
10
10
10
01
00
01
10
10
01
10
10
10
11
10
00
01
01
00
01
01
10
01
00
00
10
10
00
10
00
00
11
00
10
01
00
01
10
10
00
00
11
10
01
10
11
10
10
01
10
01
10
00
00
10
00
00
11
11
10
00
10
10
10
10
00
10
01
00
00
01
10
10
10
10
00
10
11
01
00
10
00
00
01
00
11
01
10
10
00
00
10
01
00
10
10
01
00
01
10
01
11
00
10
10
00
11
10
00
00
10
11
10
00
10
11
00
00
11
10
01
11
10
01
00
10
10
10
00
10
10
00
00
01
01
11
10
10
10
10
00
00
00
00
10
00
10
01
00
00
00
11
10
11
11
01
11
10
10
00
01
11
10
00
00
10
10
10
11
01
10
10
10
10
10
10
01
10
11
10
11
10
00
10
01
11
11
01
11
10
00
10
10
01
00
10
11
01
10
01
10
11
00
10
10
00
00
10
11
00
00
00
01
10
00
10
10
10
00
00
00
10
00
11
10
11
10
00
10
01
01
11
11
00
00
00
00
10
00
00
01
10
00
10
01
01
10
00
11
10
00
10
00
11
10
00
00
00
10
01
00
11
00
11
11
11
01
00
10
10
00
00
11
10
01
10
11
11
00
00
00
10
10
00
00
10
00
00
00
00
01
11
00
11
00
10
11
11
01
10
00
00
10
10
11
01
00
00
00
10
01
10
01
10
11
00
10
00
01
10
10
11
00
00
10
10
01
01
00
10
10
01
00
11
10
00
00
00
11
01
00
10
01
10
10
10
00
00
10
11
00
01
10
00
01
10
10
00
11
11
10
11
00
11
10
00
10
10
11
10
01
00
11
10
00
10
11
10
01
00
10
11
10
01
10
01
00
11
00
01
10
11
10
00
01
00
10
11
11
01
01
10
00
11
00
11
11
01
00
10
10
00
00
01
00
11
11
10
10
00
00
10
10
00
00
01
00
10
11
00
00
10
10
10
00
11
00
00
10
11
00
01
11
00
10
11
00
00
10
11
00
10
10
10
01
11
00
10
00
10
00
00
01
00
10
11
01
01
10
10
10
00
10
10
01
01
10
10
00
00
10
10
00
00
00
11
00
01
11
11
10
00
00
11
01
01
00
10
10
10
00
01
01
01
01
10
10
11
00
00
01
11
11
10
10
11
10
10
00
00
00
01
10
00
10
11
00
10
10
10
10
00
00
00
01
10
10
11
10
10
00
11
10
01
00
11
01
11
00
00
01
11
11
00
00
10
11
01
10
10
01
01
11
11
11
00
01
00
01
00
10
11
00
11
10
10
00
10
00
00
10
11
10
00
10
10
10
00
01
10
10
00
00
00
01
10
10
10
01
10
10
01
01
00
10
10
00
00
01
11
10
10
01
11
01
01
00
01
11
11
10
11
00
00
10
10
00
01
00
00
10
11
10
00
11
00
00
10
10
11
00
01
01
10
11
00
11
00
01
11
11
11
10
10
00
11
00
00
10
10
10
00
10
10
11
00
10
10
10
00
10
10
00
11
10
00
00
10
10
10
11
10
01
01
10
00
10
10
10
00
00
10
00
10
00
00
10
00
11
00
00
00
10
10
00
11
11
00
00
11
10
00
10
00
11
01
01
00
10
01
10
00
01
10
11
00
00
10
00
10
00
00
10
00
01
00
00
11
10
00
11
01
00
11
10
10
00
01
10
10
11
00
11
11
10
00
00
11
10
01
00
11
00
00
00
10
01
00
11
00
11
10
00
10
00
10
10
10
01
00
10
01
00
10
10
00
10
00
01
10
10
01
01
00
00
01
01
00
10
10
00
01
10
11
10
00
00
00
01
00
11
10
00
10
00
10
11
11
00
11
00
11
10
10
10
00
00
10
00
01
00
11
10
11
01
01
00
10
10
01
01
10
10
11
00
00
10
00
00
10
00
11
10
10
10
11
01
01
11
00
10
11
01
00
00
11
11
11
00
10
10
10
10
11
10
10
11
10
00
00
01
11
00
00
00
00
10
00
10
00
11
11
00
01
10
01
00
01
11
00
00
10
00
00
10
00
00
00
10
01
10
11
00
10
11
01
11
00
00
00
10
10
00
10
10
00
10
10
11
00
00
10
00
01
01
00
11
11
00
01
11
10
00
00
11
10
10
01
00
00
10
10
00
00
00
11
00
00
10
10
10
00
10
10
01
01
01
01
10
10
00
00
10
10
01
00
11
00
00
01
01
00
10
01
01
11
10
10
01
00
11
00
10
10
10
10
00
00
11
01
01
00
00
10
10
00
10
10
10
10
11
10
01
10
11
10
00
11
01
10
00
10
11
00
10
00
00
11
10
10
00
10
10
10
11
10
10
01
00
01
10
10
00
00
10
01
11
11
01
01
11
11
00
10
10
00
10
10
00
00
10
10
00
00
10
10
10
11
10
01
00
10
10
10
00
01
10
10
00
01
10
00
01
11
11
01
00
01
00
11
10
11
00
01
11
10
00
10
10
00
10
01
11
00
00
00
01
10
10
10
01
10
10
00
00
01
01
11
11
10
10
00
10
10
10
00
00
10
00
01
11
10
01
01
10
11
01
00
11
11
01
10
00
00
11
10
00
01
10
10
00
00
10
10
00
10
00
01
11
10
10
00
00
01
11
10
00
00
00
00
00
00
11
11
10
01
01
10
00
00
01
00
10
10
00
00
00
11
10
00
11
01
11
11
00
00
10
00
00
11
10
00
00
00
10
10
11
01
10
00
00
11
00
10
11
10
10
10
01
01
10
11
10
00
10
10
01
11
11
11
11
01
01
11
01
00
11
11
00
01
11
11
00
00
00
10
10
00
00
11
01
01
10
10
11
01
00
10
10
00
00
10
01
01
11
10
11
01
00
10
10
10
10
00
11
00
01
00
11
00
00
00
10
01
00
01
10
10
00
10
00
00
10
00
01
10
01
00
10
10
00
00
11
01
00
01
10
10
10
00
00
00
00
10
10
10
01
01
10
00
11
00
01
10
10
00
00
10
10
10
11
00
00
01
10
10
10
00
11
10
10
00
10
11
11
00
00
11
10
10
10
10
00
01
00
00
10
00
00
01
00
10
10
00
11
10
10
01
10
10
11
11
00
10
10
00
00
01
11
11
00
01
01
01
10
00
10
10
10
00
01
11
10
00
00
10
10
10
00
01
00
11
10
00
10
00
10
10
10
00
00
01
00
10
10
00
10
01
00
10
00
11
00
01
00
10
00
11
00
10
10
00
10
10
10
01
00
10
11
10
10
10
10
00
01
10
10
10
11
10
00
00
10
01
01
11
00
10
10
01
01
00
01
10
11
10
01
10
10
10
00
10
10
00
00
01
01
11
10
00
11
10
11
00
01
10
11
00
01
10
10
01
10
01
11
10
00
10
10
01
00
10
10
10
01
00
10
10
00
00
00
00
11
00
00
00
00
00
00
00
10
10
00
11
10
00
10
01
00
00
00
00
01
11
01
11
01
10
10
01
10
10
11
00
00
00
10
11
10
10
00
10
00
10
10
01
00
00
11
10
00
10
00
00
10
10
00
10
10
10
10
00
10
01
10
01
01
10
01
10
00
10
00
01
00
00
10
00
01
00
00
00
01
11
10
00
00
10
10
01
10
10
11
10
10
10
10
01
10
11
00
11
10
01
10
10
10
00
10
10
10
10
00
01
00
11
00
01
01
10
10
10
00
00
10
10
00
00
10
10
11
01
11
11
11
00
01
00
11
10
00
01
00
01
00
10
11
10
01
01
00
11
10
01
10
11
00
01
11
01
11
11
10
00
00
11
11
10
00
00
10
00
00
10
10
10
01
01
00
00
10
00
11
11
00
11
01
11
00
11
01
00
11
10
00
00
10
10
00
10
10
10
01
11
00
01
00
00
00
00
11
00
00
10
00
11
10
00
10
11
00
00
00
10
11
00
00
10
10
11
00
01
11
10
00
10
10
01
00
11
00
11
00
11
10
11
01
00
10
10
00
00
01
00
00
10
11
01
10
01
00
00
10
01
00
10
10
01
00
10
01
00
10
10
00
11
00
10
00
10
10
11
11
00
11
00
10
01
01
11
10
00
00
11
11
10
00
01
00
01
00
00
00
00
01
10
00
00
10
00
11
10
10
01
10
00
11
10
00
00
00
00
00
01
00
10
01
10
01
01
00
10
10
00
01
01
10
00
00
00
10
00
01
10
11
00
10
10
10
11
01
01
10
00
10
01
11
01
11
10
00
00
11
01
01
10
01
11
01
10
10
10
01
01
11
01
00
00
10
11
00
10
11
00
00
00
11
10
01
01
10
10
11
00
01
11
10
10
11
10
00
01
10
00
10
01
01
00
10
00
10
01
11
00
10
11
01
00
00
00
10
10
10
11
00
01
00
10
00
10
00
00
10
10
10
01
00
11
10
00
00
01
01
00
10
10
10
11
10
00
10
10
00
10
00
11
10
10
00
11
00
00
11
10
00
11
00
00
11
10
00
10
01
10
10
11
01
10
01
11
10
10
11
01
10
10
00
00
01
10
11
00
00
00
10
00
01
00
10
10
00
01
00
10
11
01
10
10
10
11
01
00
11
00
01
10
00
00
10
01
00
00
11
10
01
00
01
00
00
11
10
11
11
11
00
00
10
10
00
00
10
10
00
11
10
11
00
01
01
00
10
10
00
00
00
11
11
01
10
00
10
10
10
00
00
11
00
10
10
01
01
11
01
10
01
00
00
01
00
10
11
10
00
11
10
10
01
10
11
10
10
00
11
10
00
00
10
00
00
00
01
10
11
00
01
11
11
01
10
01
01
00
01
10
10
00
10
10
11
00
00
00
01
11
11
00
10
10
10
00
01
01
10
10
11
11
01
11
10
10
00
00
11
11
01
01
11
11
10
10
00
11
00
01
10
10
01
00
00
00
11
10
10
00
10
00
10
10
01
00
10
10
10
11
00
10
01
00
11
11
00
01
10
00
00
10
10
11
01
01
10
11
00
10
00
10
10
11
01
00
01
10
10
11
11
11
00
00
10
01
11
10
10
00
00
01
00
01
10
10
01
10
00
01
00
00
00
01
11
00
00
11
00
00
00
00
11
00
00
10
01
00
00
10
11
10
01
01
01
10
00
10
10
10
00
01
10
01
10
00
00
11
10
01
01
10
10
00
10
00
00
10
10
01
00
11
11
00
00
00
01
01
11
11
00
10
11
00
00
01
10
11
00
01
11
10
11
11
01
00
01
00
00
01
01
10
10
11
10
00
00
10
10
01
01
11
10
00
10
00
00
10
10
01
01
11
00
10
11
00
10
00
00
10
10
00
10
00
10
00
00
11
11
11
10
01
01
00
11
01
00
10
01
00
11
10
11
10
00
11
00
10
00
11
11
10
00
01
10
11
01
00
00
11
10
00
11
10
01
00
01
10
01
00
11
10
10
10
00
01
10
10
00
10
10
01
00
00
10
10
01
10
10
11
01
10
01
10
00
00
00
00
01
10
10
00
00
10
10
00
00
00
10
11
00
11
01
10
00
01
00
10
10
00
10
00
10
00
00
10
10
00
00
01
11
10
10
10
01
11
11
01
11
01
00
01
11
00
00
10
10
00
00
10
11
01
01
10
10
10
10
00
11
11
00
00
11
11
10
01
10
10
11
00
00
01
10
10
10
00
10
11
00
00
10
00
00
11
00
10
01
00
10
00
01
00
10
10
10
01
00
00
00
01
00
00
10
10
11
00
11
11
11
01
01
01
10
00
00
10
11
00
01
10
10
00
00
10
00
01
11
11
10
00
00
10
10
11
10
11
11
00
00
10
00
00
00
11
10
00
01
10
00
01
01
11
10
01
10
10
10
10
10
00
11
10
10
00
00
01
00
10
11
00
00
10
11
00
01
10
00
01
10
10
01
10
10
10
00
01
00
10
11
00
10
00
10
10
10
01
10
01
10
00
00
00
11
00
00
10
00
10
10
10
01
10
10
00
00
00
00
11
00
00
11
10
00
00
01
11
01
10
10
11
10
00
00
11
10
10
00
00
10
10
01
00
11
11
01
11
00
01
00
11
00
11
10
00
11
10
00
00
01
10
10
00
10
01
00
10
11
10
01
10
10
00
10
11
10
10
00
00
10
10
11
10
01
10
10
00
01
10
00
00
10
01
00
11
10
00
01
01
11
00
00
10
10
00
01
10
10
00
01
10
10
10
10
10
00
10
00
01
11
11
11
10
10
10
00
01
10
11
00
10
00
00
11
01
10
11
10
00
00
10
00
11
00
00
01
00
01
10
11
01
00
11
10
11
00
11
00
11
10
00
11
10
00
10
00
00
00
10
01
01
10
10
10
00
00
00
01
00
10
11
00
00
10
10
11
00
11
10
00
00
11
01
00
01
01
01
10
01
00
11
10
01
10
10
10
00
00
10
10
10
00
11
00
00
00
11
01
01
10
11
00
00
00
10
00
01
01
01
10
10
10
10
10
00
10
10
10
00
00
01
10
00
11
00
00
00
11
10
01
10
10
00
10
00
10
00
00
01
11
00
00
10
10
00
00
10
11
00
01
00
11
11
10
01
01
11
10
00
01
10
00
00
00
10
11
01
10
00
01
11
00
00
10
11
00
00
10
11
00
00
10
11
00
00
01
00
11
10
11
10
10
00
00
00
10
10
00
00
00
10
10
00
01
00
11
10
11
10
00
00
00
11
10
10
01
10
00
10
11
11
01
00
10
00
00
11
11
10
11
01
11
10
01
11
11
00
00
01
11
10
00
00
11
10
00
00
01
00
01
00
00
00
11
00
01
10
11
00
11
01
10
00
01
01
10
00
00
10
00
10
00
00
10
10
10
10
00
00
00
00
00
00
00
00
00
00
11
11
10
00
00
11
01
00
11
10
00
00
10
10
00
00
10
11
01
10
10
10
00
10
10
00
00
11
11
10
11
00
00
10
10
00
10
00
11
00
00
01
01
10
01
01
00
10
10
10
10
10
00
00
10
00
00
00
01
00
00
00
10
01
00
00
10
01
00
11
10
11
01
00
10
00
10
10
10
01
00
01
11
11
10
00
10
11
00
11
01
01
10
00
10
00
11
00
00
10
10
00
01
00
10
00
01
11
01
10
10
10
11
10
10
00
00
00
10
01
00
01
10
10
10
11
01
10
01
11
10
00
10
01
10
00
00
01
10
11
10
10
00
01
01
10
10
01
00
01
00
10
11
11
00
00
11
11
01
00
00
11
10
00
10
10
00
00
00
00
00
10
00
10
10
11
00
00
11
11
00
00
01
10
01
01
11
00
10
10
01
11
00
00
10
11
01
00
11
10
10
00
00
10
10
00
00
10
00
00
01
00
10
00
00
10
01
00
01
10
10
00
10
01
10
10
10
11
01
11
00
11
00
00
00
10
00
00
00
10
00
10
11
11
10
01
11
01
10
10
10
01
00
10
00
11
11
11
11
10
11
00
11
00
00
10
10
00
00
11
11
10
01
00
10
10
11
00
11
10
00
10
11
11
10
00
00
01
10
00
10
10
10
10
01
01
10
01
00
00
00
10
10
00
01
10
11
00
10
10
10
10
10
00
01
11
10
00
10
01
01
11
01
01
00
00
10
00
10
10
00
01
01
10
10
00
10
11
01
10
00
01
11
00
10
01
01
01
01
00
11
10
11
11
11
11
00
00
10
00
00
10
00
10
11
00
10
00
00
00
11
01
10
10
00
01
11
10
10
11
00
01
01
00
10
10
00
11
10
00
10
10
00
11
10
01
11
01
01
10
00
01
11
10
01
00
10
01
10
00
00
10
10
10
10
01
01
10
01
10
00
00
01
00
10
10
10
01
10
00
00
10
10
00
10
11
10
00
01
01
00
10
11
01
11
01
01
10
01
01
10
10
00
11
00
00
11
00
10
10
01
10
00
00
10
00
10
11
00
11
11
00
00
10
11
10
00
00
10
11
11
10
11
10
00
10
00
00
00
10
10
00
10
10
10
00
00
10
10
10
01
10
10
10
00
11
10
11
10
10
00
11
00
01
11
00
00
11
01
01
10
10
01
01
10
10
10
10
00
01
00
10
11
00
10
00
00
00
11
00
00
10
11
11
10
01
10
10
00
00
10
10
10
00
00
10
00
10
10
10
11
01
10
10
00
00
10
11
10
00
00
10
00
00
10
10
01
11
11
11
01
11
00
01
00
00
10
11
10
00
10
10
10
11
00
00
00
10
01
00
10
11
11
10
00
10
11
01
00
01
11
10
00
00
10
10
01
00
01
10
00
00
00
11
10
01
10
11
01
10
10
00
00
10
00
00
11
00
11
00
10
01
01
11
10
11
00
00
11
11
00
11
10
00
00
11
11
00
10
11
10
11
01
00
10
01
00
10
11
00
00
10
00
01
10
10
00
10
00
01
01
10
00
00
11
10
00
11
00
00
11
01
11
00
10
00
01
10
10
01
00
00
11
11
00
11
10
11
11
10
00
00
11
10
10
10
00
00
11
11
00
00
10
00
01
10
11
10
10
10
00
00
00
00
10
10
00
10
00
10
10
00
10
00
01
00
01
00
00
10
01
01
10
00
00
01
10
00
11
11
10
01
00
01
11
10
00
01
10
10
11
01
10
11
01
10
00
00
10
01
10
10
10
10
00
01
01
01
10
10
10
00
10
11
01
00
00
00
00
00
00
11
11
11
10
10
00
01
00
10
00
11
10
11
00
01
00
01
01
10
10
01
10
00
00
11
11
11
01
01
00
10
00
10
00
00
10
10
00
01
10
10
01
10
10
10
01
01
01
10
10
10
11
00
10
01
10
00
10
01
00
10
11
01
10
01
00
11
00
00
00
00
10
11
00
01
00
11
01
00
10
10
10
01
00
11
10
01
10
10
10
00
00
10
11
00
10
11
01
00
00
10
10
10
10
00
00
10
10
00
10
01
00
10
10
10
00
00
00
01
10
01
00
00
00
10
11
10
11
00
00
10
00
11
00
10
11
10
10
11
10
01
11
01
01
10
00
01
10
10
11
00
00
11
00
10
01
10
00
00
10
10
00
00
10
11
11
01
10
11
01
00
10
11
00
10
01
01
00
00
00
11
10
00
10
10
00
00
00
01
00
00
10
10
11
10
01
00
10
11
00
01
11
01
00
10
10
10
10
00
01
11
00
00
11
00
11
00
10
11
01
10
10
01
01
01
11
10
01
11
10
00
00
11
10
01
00
00
10
00
00
10
00
11
11
10
01
10
10
00
00
10
00
00
10
01
10
01
00
00
01
10
10
10
01
00
01
11
10
00
01
00
00
10
00
11
00
00
10
01
10
01
10
10
10
00
00
10
11
00
00
00
10
01
00
10
11
10
01
01
00
10
01
10
00
00
10
00
11
00
11
01
10
10
00
01
00
00
10
10
00
00
01
00
10
10
10
00
10
10
10
10
01
01
11
01
11
00
00
00
11
00
10
10
00
01
10
10
01
11
11
11
01
10
00
01
11
00
00
11
10
11
00
00
11
00
11
10
00
00
10
01
00
10
10
00
00
00
00
01
10
10
01
00
10
01
00
10
10
11
00
11
10
01
10
11
10
00
01
11
01
00
01
10
00
10
10
01
00
00
00
00
11
10
00
10
10
01
00
10
11
11
01
00
11
00
00
11
10
00
00
11
10
01
01
10
10
00
00
10
00
11
10
00
00
01
00
10
10
00
01
11
10
00
01
10
00
00
10
10
10
10
00
10
10
10
10
10
00
00
10
10
00
00
00
10
10
00
11
00
01
00
11
00
11
00
10
01
10
00
00
11
00
00
00
10
00
11
00
01
10
00
01
00
11
01
10
10
11
00
00
00
00
11
00
00
11
10
00
11
00
01
00
10
10
01
01
11
10
11
00
10
01
00
01
10
10
00
01
10
00
10
00
00
11
00
10
00
00
10
01
00
11
11
10
10
01
01
11
00
01
00
01
10
10
10
00
00
10
00
01
10
11
10
10
01
00
10
00
00
00
10
00
01
00
10
00
10
10
01
00
10
01
10
01
11
00
10
11
00
01
00
11
10
01
00
10
00
01
00
10
00
00
01
00
01
11
10
10
11
10
11
00
00
10
00
00
10
00
01
00
11
11
00
10
00
10
00
11
10
01
10
00
10
00
00
01
10
10
11
01
00
00
00
10
00
00
00
10
00
00
10
01
01
00
01
00
00
10
01
11
10
10
00
01
00
01
10
10
11
01
01
01
01
01
10
00
00
10
11
10
01
01
10
00
11
10
10
11
01
10
10
00
11
11
00
10
10
01
00
11
00
01
11
10
10
00
01
10
10
01
00
01
10
10
00
01
10
00
01
10
10
01
10
10
11
01
00
11
01
10
10
00
00
00
10
10
10
10
01
10
10
00
00
00
00
01
10
00
01
11
11
10
10
01
10
10
10
00
00
00
11
10
01
00
10
01
00
10
01
01
10
11
10
00
10
01
11
11
00
00
10
00
10
10
10
00
10
10
00
00
00
10
10
10
10
10
00
00
01
10
11
11
01
01
10
10
11
00
10
10
01
00
00
10
10
11
10
00
11
10
01
01
01
10
00
00
10
01
11
10
00
00
00
01
10
11
11
00
00
01
01
00
00
10
10
10
00
00
10
00
00
10
00
00
10
10
01
00
11
00
00
10
10
10
11
00
10
00
11
00
00
01
00
10
10
10
11
01
10
11
10
11
00
00
10
10
10
00
00
00
11
10
01
01
01
11
00
10
11
10
00
10
10
01
00
00
10
10
01
01
00
01
10
01
11
00
00
10
10
10
00
00
01
10
10
11
00
00
10
11
10
00
00
11
01
01
11
00
00
10
01
01
00
11
00
00
10
11
00
00
11
10
00
10
10
10
00
10
01
11
11
01
00
10
00
00
01
11
11
01
00
01
00
10
00
00
10
00
01
10
10
10
00
00
11
11
00
10
10
00
11
00
00
10
11
11
10
11
00
00
00
10
11
01
01
10
01
01
00
00
10
00
10
00
00
11
00
01
01
00
00
01
10
11
11
10
01
00
10
00
00
10
00
01
11
10
00
00
10
10
00
01
00
10
10
11
11
11
10
01
00
10
01
00
10
01
00
10
01
10
11
10
01
01
00
11
11
10
00
00
10
00
00
11
00
10
00
01
10
00
00
10
11
01
00
10
10
10
00
00
01
11
10
00
01
10
10
00
11
01
10
10
01
11
01
11
01
00
00
00
10
11
00
10
10
10
00
01
00
00
11
11
00
00
10
10
01
10
10
10
00
10
00
10
10
00
10
00
11
00
10
11
11
10
00
10
00
10
00
00
10
11
00
10
10
10
00
01
11
11
01
01
10
11
00
10
10
00
11
00
01
10
10
01
11
11
10
01
00
00
10
01
10
10
10
00
11
11
00
01
10
11
10
01
01
01
11
10
10
00
01
00
10
01
00
01
00
10
10
10
10
01
10
10
00
00
10
11
10
10
10
11
10
10
00
00
11
10
10
01
00
10
01
00
11
01
11
10
10
01
10
11
01
00
10
00
00
00
01
11
10
01
10
00
00
00
10
01
11
11
01
01
10
10
00
00
00
10
10
00
10
00
10
10
01
11
00
10
00
01
01
10
11
00
10
10
11
00
00
10
10
11
00
00
10
00
00
10
10
10
11
10
00
00
00
00
00
10
10
00
00
10
11
10
10
00
10
10
10
10
00
10
00
01
10
10
00
10
10
01
10
00
11
10
11
10
01
01
10
10
01
01
11
10
10
00
01
11
00
10
11
00
11
10
00
01
10
10
10
10
01
01
10
10
01
01
00
10
01
10
11
01
01
10
10
01
10
10
00
00
11
10
10
00
01
00
01
01
10
10
00
00
11
01
00
11
00
11
10
00
01
10
00
00
00
00
10
10
11
11
10
11
11
10
10
01
01
11
01
00
00
01
00
11
11
10
00
00
11
10
00
01
01
01
10
10
00
01
00
10
01
01
11
00
00
00
00
10
11
10
01
01
11
10
00
10
01
10
11
10
01
01
10
10
10
00
00
01
01
00
01
10
11
10
10
00
10
00
00
10
10
00
00
00
01
01
01
11
00
11
00
10
01
10
10
01
00
11
10
10
01
10
00
00
11
10
10
01
00
00
11
00
10
00
10
10
10
00
01
10
11
01
10
10
00
00
10
00
01
11
10
00
00
11
00
01
11
01
10
00
00
11
10
11
00
01
10
01
10
10
01
00
00
00
00
10
10
00
10
10
00
10
00
10
11
11
10
11
00
10
00
11
00
11
00
10
00
00
00
11
00
00
10
10
11
00
00
10
10
10
00
01
10
01
00
10
10
10
11
00
00
10
01
00
01
01
00
10
10
10
00
00
11
10
10
11
00
10
10
10
01
10
00
00
01
00
01
10
10
00
00
10
00
11
10
00
01
00
11
11
11
00
00
10
00
10
11
11
11
01
10
00
00
01
00
10
00
10
00
00
10
01
10
10
00
01
10
10
11
10
10
11
00
01
10
10
11
10
11
01
00
10
00
01
10
11
00
00
00
10
10
01
11
00
00
10
10
10
00
00
10
10
00
01
00
00
00
01
10
10
10
10
11
00
10
00
00
10
10
00
00
00
10
01
11
01
10
01
00
01
00
00
00
10
10
00
11
10
10
10
10
10
11
11
01
11
01
10
00
00
10
11
01
00
00
00
11
10
10
00
10
00
00
00
10
10
00
00
11
10
01
00
01
00
00
10
01
10
10
11
01
01
01
00
10
11
00
00
10
01
10
10
00
10
01
00
01
00
10
10
10
00
10
10
01
00
00
00
10
10
00
11
10
11
00
10
10
00
10
11
00
00
10
10
00
10
00
01
00
11
10
00
11
01
10
10
01
01
01
10
10
10
00
11
00
01
01
11
10
00
10
00
00
10
11
01
01
10
10
00
00
10
10
00
00
01
00
01
10
00
00
10
11
00
11
10
11
01
11
11
10
01
01
00
10
00
01
11
11
10
01
10
00
00
10
10
00
01
00
10
00
10
00
10
00
01
10
01
00
00
01
01
10
11
01
00
10
01
10
10
01
00
00
01
00
10
10
00
10
00
01
11
00
10
10
00
01
11
00
10
10
00
10
10
00
01
10
01
00
10
01
00
00
10
10
01
00
00
00
10
10
01
00
10
11
11
01
00
10
10
01
00
00
10
10
00
11
10
00
10
11
10
01
10
11
00
10
10
01
00
10
11
00
10
00
00
10
10
11
00
11
10
10
10
00
10
10
01
01
00
01
10
00
10
10
11
01
00
00
00
00
10
10
10
00
11
10
00
11
10
00
00
10
11
00
11
10
10
01
11
11
00
10
10
10
11
10
11
00
00
10
01
10
10
10
00
01
11
11
00
01
01
11
00
01
10
01
01
10
01
11
10
10
10
00
11
01
01
10
00
00
10
01
00
10
10
10
10
00
10
00
00
10
10
10
01
10
01
10
00
10
00
01
11
11
01
00
00
00
00
00
10
10
00
10
10
10
01
10
11
00
00
10
01
10
10
00
10
10
00
10
00
10
10
10
00
00
10
11
00
10
10
10
00
00
11
01
11
01
10
00
00
01
11
10
00
00
00
10
00
00
01
11
11
10
01
00
10
11
00
10
11
00
01
00
11
11
11
11
01
10
01
10
10
01
00
10
10
01
00
00
01
11
01
00
10
10
10
00
01
10
10
00
00
10
01
11
10
11
10
10
00
10
00
10
10
00
01
00
10
10
11
00
10
11
01
10
01
10
11
01
11
00
00
00
10
10
00
00
01
01
10
00
10
00
01
10
10
11
00
01
00
00
11
11
00
01
00
01
01
10
10
01
00
10
00
10
10
00
00
00
00
00
11
11
10
10
01
00
11
01
01
11
00
01
10
00
01
11
00
00
00
10
00
11
11
00
01
10
01
10
10
11
00
10
11
10
01
10
10
00
11
11
00
11
10
00
11
10
00
10
10
00
11
01
10
00
00
10
10
00
11
11
00
00
11
00
00
11
01
10
10
00
01
10
11
00
10
10
01
10
00
10
10
00
00
01
10
10
00
10
00
11
10
00
10
11
11
01
10
00
10
10
11
01
11
10
00
01
10
00
11
11
11
01
10
00
10
10
00
10
00
11
01
00
10
10
11
01
00
01
10
10
11
00
00
11
10
00
00
10
11
10
00
11
00
00
10
11
00
00
10
01
00
01
01
00
10
00
11
10
01
00
00
00
00
10
10
10
00
10
10
01
00
01
00
00
00
10
11
10
10
10
00
00
01
00
10
10
10
11
01
10
00
00
10
10
00
10
01
10
11
10
10
00
11
10
00
10
11
01
01
01
10
10
01
00
10
11
00
00
01
11
11
01
01
00
01
00
00
10
11
11
00
00
11
10
00
01
00
10
00
10
10
00
00
11
01
00
00
10
10
10
00
00
10
10
01
00
00
11
10
11
10
10
00
01
00
10
11
00
00
10
10
00
01
10
10
01
10
10
00
00
10
10
10
01
10
11
00
11
10
10
00
00
01
00
10
10
00
00
11
00
00
00
10
01
10
00
10
10
11
10
00
00
10
10
00
10
00
11
00
00
00
11
00
11
10
00
00
10
10
11
11
01
01
11
10
10
11
00
00
00
10
11
01
01
11
00
01
11
10
00
00
11
10
01
00
01
00
01
00
00
11
10
11
00
10
11
01
11
11
10
00
10
00
00
11
10
00
00
11
00
01
10
11
10
10
11
10
10
10
11
01
10
00
11
00
00
10
10
00
00
01
00
00
01
10
10
11
10
00
10
10
10
00
11
00
11
10
11
10
11
10
10
00
00
00
10
11
00
00
10
10
11
10
11
11
10
10
01
01
01
11
10
10
10
00
10
10
00
01
10
10
11
10
00
11
10
10
00
01
01
00
10
00
00
10
00
00
11
10
10
00
00
10
01
10
10
11
10
10
10
00
10
10
00
00
10
00
10
01
00
10
11
01
10
00
10
10
00
10
01
00
11
00
00
10
10
00
01
10
01
10
10
10
10
00
00
11
10
11
00
01
00
10
01
00
01
11
10
01
10
01
11
11
00
11
10
10
11
01
00
11
01
00
00
10
01
00
10
10
10
10
00
10
10
10
00
01
00
00
00
10
10
00
11
10
01
00
01
10
10
01
00
10
11
00
10
11
00
11
11
00
11
01
11
00
10
00
10
00
00
10
10
10
01
10
01
01
11
11
00
11
10
01
01
10
10
00
00
10
10
10
00
10
01
11
11
01
11
11
00
10
10
00
00
01
11
11
10
00
00
11
11
10
01
00
10
00
00
01
00
10
10
11
00
01
01
10
00
01
00
11
11
10
11
01
10
10
11
10
00
11
10
01
10
00
11
10
00
10
00
01
10
11
01
10
11
00
10
00
10
11
10
01
01
10
10
00
01
11
00
01
10
00
00
10
01
00
01
11
10
10
10
10
00
01
11
10
01
10
00
10
10
01
01
10
10
01
00
00
10
01
01
10
00
01
10
10
11
01
01
11
00
00
01
10
00
10
10
00
00
01
10
11
01
00
10
01
00
10
00
11
10
01
01
01
10
01
10
10
00
10
10
00
10
11
11
00
00
00
10
10
00
01
10
00
00
00
11
01
10
10
10
00
11
10
00
00
00
10
01
00
10
01
00
11
00
11
00
10
11
00
10
11
11
01
10
11
01
11
11
01
00
10
10
10
00
00
10
00
10
10
10
00
01
10
11
10
00
00
00
10
10
00
00
01
00
00
00
00
10
10
00
10
10
10
00
00
00
00
00
01
11
00
10
11
11
00
01
00
00
00
11
10
10
10
01
00
00
10
00
00
10
00
00
10
01
10
10
00
00
00
10
00
00
10
10
10
01
01
00
01
10
00
00
01
10
10
10
01
10
00
10
11
01
01
11
11
00
00
10
10
00
01
10
00
00
00
01
10
10
10
00
01
11
10
10
11
10
11
10
11
00
00
00
11
00
01
10
00
00
10
10
01
11
11
00
10
00
00
10
00
00
10
10
01
01
10
00
00
00
10
10
10
11
10
01
00
01
10
01
00
10
10
00
11
11
01
01
10
11
00
10
01
00
11
11
01
10
10
00
01
10
00
01
01
10
10
11
01
00
10
11
01
10
01
01
11
00
01
10
00
11
10
01
10
01
10
01
00
00
11
11
11
10
01
01
00
00
11
00
00
10
00
11
11
00
11
00
00
11
10
00
11
10
00
01
10
00
10
00
00
10
10
01
00
10
00
10
10
10
00
10
01
00
00
10
10
00
00
10
01
00
00
10
01
10
01
10
00
00
10
10
00
00
10
11
01
10
00
11
10
10
01
10
00
01
00
11
11
00
10
10
10
00
00
11
10
00
10
00
00
00
11
01
01
11
10
10
10
01
00
10
10
01
01
10
00
10
01
00
11
01
10
11
00
00
01
10
10
01
00
01
10
01
00
00
00
11
00
00
10
10
00
10
10
01
11
10
10
10
10
00
00
10
00
01
10
01
10
10
00
00
10
01
00
10
11
00
00
10
10
00
11
10
11
00
01
00
01
10
10
10
01
10
10
10
00
10
01
00
10
00
10
00
11
10
00
00
10
00
10
10
10
11
00
00
00
11
01
11
00
10
10
00
00
10
01
01
01
10
01
10
10
01
10
11
00
10
10
11
11
00
11
10
10
10
00
00
11
10
10
11
01
01
11
00
10
01
01
01
11
10
00
00
10
10
01
00
10
10
11
11
00
00
11
11
10
00
01
01
00
00
00
11
10
01
11
10
00
10
10
00
11
11
00
10
00
10
01
10
11
00
01
10
00
10
10
01
10
00
00
01
10
00
00
00
10
10
00
01
10
10
11
10
00
01
01
11
10
01
01
10
00
01
01
00
01
11
10
01
00
10
10
00
01
00
11
10
01
01
00
00
10
01
10
10
00
00
11
11
00
10
11
11
10
01
00
00
00
11
10
00
11
10
00
01
10
00
10
01
00
10
01
01
10
11
10
11
00
00
10
00
00
10
00
00
11
11
10
00
00
01
00
11
10
10
10
00
01
01
10
10
11
00
01
10
10
10
00
10
00
00
10
11
00
10
00
10
00
10
01
10
10
10
01
01
00
11
00
10
00
01
10
00
00
10
10
10
00
11
00
00
10
00
10
00
00
11
11
00
00
10
10
10
01
01
11
00
00
10
10
10
01
10
10
10
11
01
01
11
11
01
00
11
01
00
00
00
11
10
00
01
10
10
01
11
11
10
11
10
00
00
10
10
10
00
00
10
00
01
10
00
10
01
11
11
10
10
01
00
00
10
10
00
01
00
00
01
10
00
00
00
10
10
01
01
00
10
10
10
11
00
01
00
00
00
10
11
00
10
11
10
00
00
10
10
01
10
00
11
10
10
00
00
10
11
10
00
00
10
10
01
10
11
00
00
01
00
01
10
10
01
00
11
11
00
00
10
10
10
10
11
10
10
00
00
01
00
10
00
10
10
10
11
11
10
00
10
11
00
11
01
00
00
10
11
00
00
00
11
11
00
10
11
10
01
10
10
00
01
10
01
01
11
00
00
11
01
11
10
10
01
00
00
11
00
00
10
10
10
00
10
00
00
11
00
00
10
10
00
10
10
01
00
00
10
11
10
01
10
11
10
10
10
00
00
10
00
11
00
00
10
01
00
00
10
11
10
01
00
10
00
11
11
10
10
00
10
11
10
01
00
10
01
10
00
00
11
11
00
00
10
01
00
00
00
11
00
01
11
00
10
01
10
10
11
00
01
10
00
10
01
11
10
01
01
10
00
01
10
10
10
10
11
11
00
00
00
11
10
11
01
10
01
11
00
10
11
00
01
01
11
01
10
10
11
11
10
11
00
01
00
11
10
10
00
00
00
00
01
10
10
10
01
11
10
00
00
00
10
10
11
11
00
00
00
11
10
00
11
00
00
10
01
00
10
10
11
01
10
10
10
00
10
10
01
10
11
10
00
11
00
01
00
01
11
11
01
00
00
10
10
10
10
01
00
00
01
10
10
01
10
11
01
10
10
00
10
10
00
00
01
01
11
11
10
01
11
01
00
10
10
10
10
00
10
10
01
01
11
01
01
00
01
00
11
00
00
01
00
10
11
00
11
11
10
11
01
00
10
10
01
10
10
01
10
10
00
00
00
00
11
11
11
00
10
00
01
00
10
00
01
01
00
00
11
10
11
11
00
11
01
11
11
11
01
00
00
11
00
10
11
10
10
10
11
01
01
01
10
10
00
10
00
11
00
00
00
11
11
01
10
00
01
01
10
11
10
10
10
00
00
01
00
10
00
10
01
10
01
11
10
01
10
01
10
00
00
10
10
00
00
10
00
10
11
00
00
00
10
00
00
11
11
00
10
11
00
11
00
01
10
01
10
10
10
00
10
10
00
01
01
00
10
00
00
10
11
00
00
10
00
00
00
00
11
00
01
10
11
01
11
10
11
00
00
00
10
11
00
00
01
11
10
00
00
00
01
00
11
10
10
01
00
00
00
01
10
01
10
10
01
00
11
11
11
00
00
10
01
00
10
01
11
10
01
00
01
11
00
00
10
00
00
11
11
01
10
11
11
00
00
10
11
10
10
00
00
00
00
10
11
11
00
01
00
00
10
10
10
10
10
00
00
11
00
11
01
01
11
00
10
11
00
00
10
11
10
01
01
00
11
00
00
11
00
00
10
01
10
11
10
01
10
00
01
11
01
00
01
10
11
00
11
10
00
01
10
01
00
00
10
10
00
11
10
01
11
10
00
01
10
00
10
10
10
01
00
00
00
10
10
10
00
10
00
10
10
01
00
10
10
01
10
01
10
10
11
00
01
10
00
00
00
00
10
00
10
00
00
10
10
01
00
10
00
10
10
10
10
11
00
00
00
00
01
00
10
10
00
00
11
10
00
00
01
00
00
01
00
00
01
10
10
01
00
00
00
10
10
01
00
01
00
10
01
00
00
00
00
11
11
00
11
00
01
11
01
10
10
00
01
01
10
10
00
00
11
11
10
11
10
10
10
00
00
01
00
11
10
01
00
10
01
00
00
10
10
01
10
10
10
10
01
00
10
10
01
00
10
10
10
00
10
00
00
01
10
10
10
00
00
11
00
10
11
01
00
10
00
10
00
00
10
00
00
00
11
01
10
11
10
00
01
00
00
10
11
01
00
00
10
10
10
10
10
10
10
11
00
10
01
11
01
10
11
00
00
00
10
10
01
01
10
11
00
00
11
10
10
00
01
00
11
10
00
10
10
11
00
11
11
10
01
00
00
00
01
10
11
00
11
01
11
11
00
00
11
10
00
11
10
00
00
00
10
00
00
00
10
00
00
00
10
11
11
10
10
00
00
01
00
11
10
01
00
11
11
11
11
10
10
00
00
10
11
00
11
10
01
00
00
11
00
00
11
01
10
10
10
00
00
10
01
10
00
00
00
00
10
10
01
10
00
00
10
11
10
00
10
11
00
00
00
10
01
00
11
01
10
00
00
10
01
00
11
01
00
10
00
00
00
00
11
00
10
10
10
00
01
10
01
10
11
00
10
00
10
01
00
10
10
10
00
01
11
00
01
00
11
11
01
11
10
00
11
10
00
00
11
11
00
11
10
00
00
10
10
10
01
01
11
11
01
01
10
10
00
11
11
01
00
11
00
10
10
10
00
01
10
10
00
00
10
01
10
01
10
00
00
10
01
10
01
00
11
00
00
00
10
10
00
11
01
01
11
00
11
10
10
01
11
11
00
00
10
01
00
10
01
10
10
10
10
00
10
10
10
10
10
00
10
01
00
10
11
00
10
10
01
00
11
00
11
10
10
00
01
11
10
01
00
00
00
10
10
10
01
01
01
10
00
10
10
10
00
00
10
00
10
00
01
00
10
10
11
01
11
00
00
10
00
00
11
11
00
00
11
10
10
10
00
00
00
10
11
11
01
01
11
00
10
00
01
01
10
10
10
01
11
10
10
10
10
00
11
11
00
00
10
11
00
10
01
01
10
01
11
10
10
01
00
11
00
00
01
11
11
01
10
11
10
00
10
10
00
00
10
11
10
00
00
11
01
11
11
00
10
10
10
00
01
10
11
00
00
00
00
11
10
00
00
11
10
00
11
10
11
11
01
11
10
10
00
10
10
01
01
00
00
10
01
10
00
00
10
00
11
00
00
11
00
10
10
10
00
00
10
10
00
00
10
11
10
10
11
00
10
10
00
00
10
10
00
01
10
11
10
10
10
10
11
00
10
10
00
00
10
01
00
10
10
00
10
10
00
11
00
00
01
00
10
01
00
10
10
00
00
01
11
11
10
00
10
00
10
00
00
10
10
01
10
00
10
11
10
01
00
10
10
10
11
00
10
10
10
00
10
00
10
01
10
01
00
10
00
11
00
10
00
10
00
11
10
01
10
00
10
00
00
00
00
10
00
10
10
00
00
10
11
00
01
10
01
10
11
11
00
00
10
11
01
11
10
00
10
10
11
01
00
11
01
10
01
10
10
00
01
10
00
01
00
01
01
00
11
11
10
11
10
00
11
00
00
11
11
10
01
01
10
11
00
01
00
10
11
01
10
10
10
01
10
00
10
00
00
00
00
01
10
10
11
10
10
10
00
00
00
10
11
01
10
00
10
10
00
01
00
00
01
10
11
10
10
00
11
00
00
01
11
01
01
10
11
10
10
01
00
10
11
01
11
10
00
00
00
00
10
10
00
00
00
10
01
00
00
00
00
00
01
00
11
10
01
11
01
10
11
00
00
00
10
11
00
10
11
00
01
00
00
10
11
10
01
10
10
00
00
10
00
10
10
10
00
01
10
10
10
10
10
00
00
00
00
10
00
01
10
10
00
00
10
00
10
11
10
11
00
00
00
10
00
11
00
00
00
01
10
10
00
00
00
01
11
11
00
00
00
10
00
01
01
10
10
10
10
00
00
10
10
10
10
11
10
01
10
11
10
10
10
01
00
10
00
00
00
11
00
00
10
11
00
10
00
00
00
01
10
00
00
11
00
01
10
10
11
11
00
00
01
10
10
00
00
00
10
11
10
10
11
00
10
10
01
10
01
11
01
11
00
10
10
01
00
01
10
01
11
10
00
10
10
10
01
00
00
00
10
00
00
11
11
10
00
10
00
00
10
10
10
00
00
00
00
00
10
00
01
11
00
00
11
01
01
00
01
11
10
00
10
10
00
11
10
10
01
01
10
11
11
00
01
10
10
00
11
10
00
00
10
11
00
11
01
01
10
10
10
10
10
00
00
10
11
11
11
00
10
10
01
01
11
00
00
00
01
10
10
10
00
10
10
00
01
11
10
00
00
00
10
11
10
00
10
10
10
10
00
10
10
00
10
01
10
10
10
01
00
00
01
10
11
01
11
01
00
11
11
01
00
01
10
10
01
00
10
11
01
10
00
00
01
10
10
10
00
01
11
10
01
11
10
01
00
00
10
10
00
01
11
11
00
01
11
10
00
00
10
11
01
01
00
01
10
10
01
01
11
11
00
01
00
10
10
00
00
11
01
11
10
00
10
10
11
11
10
00
11
00
10
01
01
10
10
10
10
00
10
10
11
00
00
11
00
10
10
00
00
00
10
10
00
01
10
01
01
11
00
00
10
00
01
10
11
00
10
01
10
01
10
11
00
10
01
00
00
10
00
01
01
11
10
10
00
11
10
01
01
00
10
11
10
00
10
01
00
10
00
10
00
00
01
10
11
10
01
10
10
00
00
10
10
10
11
01
11
01
10
00
00
00
00
10
11
00
10
10
00
11
00
10
00
01
10
10
01
10
11
00
00
10
00
00
10
00
00
00
11
01
11
10
00
00
00
10
00
10
10
00
00
10
10
11
10
01
00
00
01
00
11
10
11
10
01
01
10
10
01
00
10
01
10
10
11
00
00
10
10
00
10
10
10
11
00
00
10
10
10
11
11
00
00
01
00
11
11
01
11
10
10
11
00
01
01
00
01
11
00
10
00
11
01
00
10
01
00
10
01
00
00
00
10
01
00
00
00
10
00
00
10
00
11
10
00
01
10
00
10
10
01
00
10
10
10
00
00
11
11
01
11
00
00
00
10
10
00
11
11
00
10
00
00
10
10
00
10
00
01
10
10
10
00
01
11
11
00
01
10
10
11
01
01
10
00
00
01
10
01
00
10
10
01
10
10
11
11
10
11
00
00
10
01
00
10
11
00
10
01
01
11
11
00
00
00
00
00
10
01
01
11
01
11
10
00
10
11
10
00
00
10
10
01
10
00
01
11
11
11
01
10
00
11
00
00
10
10
01
00
01
00
10
00
10
10
10
00
00
00
01
10
01
00
11
10
00
10
01
00
10
10
00
01
11
01
11
00
00
01
11
10
00
00
10
01
00
01
10
10
10
01
10
01
01
10
01
11
00
10
10
00
10
10
10
00
01
00
01
00
00
11
10
10
10
10
00
01
10
10
10
00
00
00
01
10
11
00
11
10
10
11
10
10
00
10
10
01
01
10
01
01
01
11
00
10
00
01
10
10
00
00
00
10
10
10
11
10
00
00
00
10
10
00
10
10
01
00
00
00
00
00
01
10
00
10
10
01
10
00
11
10
00
00
00
10
11
01
01
00
00
00
00
01
00
00
10
10
01
11
01
00
00
00
00
00
10
11
01
01
10
00
01
01
01
01
10
00
10
01
01
00
10
10
10
10
01
01
11
10
00
11
10
01
01
01
11
10
01
10
00
10
00
00
11
11
00
01
10
10
11
01
11
01
01
10
10
10
11
10
00
00
00
11
11
00
10
00
01
10
10
11
00
10
00
10
01
10
00
01
10
10
01
00
10
10
11
10
10
10
10
00
01
00
00
10
01
00
00
10
01
10
11
10
10
00
01
10
00
11
10
00
00
11
01
11
01
00
11
00
11
01
01
10
00
00
11
10
01
00
11
10
01
10
00
00
10
01
00
10
00
01
10
10
01
00
00
01
10
11
10
10
00
00
10
00
10
10
11
10
10
01
00
00
00
11
11
11
00
10
11
00
00
10
01
00
10
01
10
11
00
11
10
00
11
10
10
10
00
01
10
10
00
00
10
10
01
11
00
11
01
10
10
11
00
00
01
00
10
10
11
00
00
10
10
00
11
10
10
00
01
01
10
10
00
01
11
11
10
10
00
00
00
10
10
00
00
10
10
10
00
11
11
00
01
11
11
00
11
10
01
01
10
10
01
00
00
00
11
10
10
10
00
10
00
01
00
00
00
11
10
00
10
01
01
11
10
11
01
10
00
00
00
00
10
10
11
01
10
01
10
10
10
00
00
10
00
00
10
00
11
01
00
10
10
10
00
00
00
11
10
01
01
01
10
10
10
10
10
01
00
00
11
11
10
10
01
10
01
11
00
00
01
01
10
00
10
00
10
11
01
01
00
11
10
00
01
10
10
10
00
01
00
10
10
10
00
01
10
00
01
00
11
01
00
01
00
10
10
01
00
00
00
10
10
00
11
00
10
00
01
10
11
10
10
10
00
00
00
10
01
01
01
11
01
00
10
00
11
01
00
10
11
11
11
00
01
11
10
01
10
00
11
10
00
01
00
11
01
10
01
11
10
11
11
00
00
10
10
11
11
01
01
11
01
00
01
11
10
01
01
11
00
01
11
00
11
10
00
01
11
11
00
01
10
11
00
10
00
00
00
10
10
10
11
01
01
01
11
01
00
11
10
00
00
10
10
00
00
10
01
00
11
01
01
10
11
10
00
00
00
10
11
01
00
10
10
00
10
00
00
10
00
11
01
01
10
00
10
01
01
10
11
01
10
00
00
10
10
11
01
10
11
10
01
11
00
01
01
11
11
10
00
11
11
00
00
00
10
10
00
00
10
11
10
00
10
01
01
11
00
10
00
10
10
00
10
10
10
01
10
10
10
10
00
10
10
01
00
01
00
10
11
00
00
00
00
10
01
10
01
10
10
00
11
10
10
10
11
11
10
11
00
10
11
00
01
11
11
00
01
11
00
10
10
00
01
10
10
00
10
01
10
10
10
10
10
10
11
10
11
00
00
00
10
00
11
01
10
00
00
10
11
01
10
00
00
00
01
00
10
11
00
01
00
11
01
10
00
00
00
11
01
11
10
01
10
00
10
10
00
00
10
10
10
10
01
01
11
10
00
11
01
10
00
10
10
00
01
01
00
10
00
11
10
01
01
10
10
10
01
11
01
00
00
11
10
11
10
01
00
00
11
00
10
00
11
10
00
10
10
01
00
10
00
10
11
00
00
10
11
10
01
10
00
00
00
00
10
00
00
10
01
00
11
10
10
10
10
10
10
00
00
11
10
01
00
11
10
10
00
00
01
00
10
00
10
10
11
10
00
10
10
10
10
00
00
10
00
00
10
10
01
11
00
01
11
10
11
10
00
10
00
00
01
10
10
00
10
00
10
01
10
10
00
10
01
10
00
01
10
11
10
00
10
00
00
11
11
00
01
10
10
01
01
11
10
00
00
01
01
01
10
01
11
00
00
00
00
10
10
01
00
10
00
10
01
10
01
10
10
00
01
00
11
10
01
00
10
00
00
10
11
01
00
01
11
11
00
00
10
01
00
10
10
00
00
00
10
10
01
00
11
10
01
00
10
01
11
11
01
10
10
01
00
11
10
01
10
10
00
11
00
01
00
11
11
11
10
00
00
11
01
01
11
10
01
01
01
00
00
10
10
11
01
00
10
10
00
01
00
10
01
01
10
11
00
00
11
11
00
00
10
01
01
10
11
10
00
01
01
00
11
00
00
10
00
01
00
10
10
10
00
00
00
11
01
10
00
00
10
00
01
10
11
00
01
10
00
11
11
01
01
10
10
01
10
00
00
11
01
01
01
00
00
00
10
00
10
10
10
11
10
11
00
00
01
00
11
11
00
01
10
10
10
00
01
00
00
10
10
00
00
10
00
10
10
10
00
11
10
00
00
00
00
00
10
10
00
00
00
10
01
00
01
10
10
00
10
01
11
10
10
10
00
00
00
10
00
00
10
10
01
11
00
01
10
01
00
10
00
10
01
11
10
00
10
10
00
11
00
10
01
00
10
00
10
00
01
10
10
00
10
11
00
01
00
10
10
10
00
11
10
01
00
10
00
10
00
00
01
10
00
01
00
00
11
00
10
10
01
00
11
00
10
10
11
01
00
11
10
00
00
10
01
10
00
01
10
10
01
00
11
10
01
10
01
00
00
10
00
11
00
10
10
00
01
01
10
01
00
11
10
01
00
10
11
10
10
01
01
01
10
10
01
00
10
10
10
00
00
10
00
00
11
00
00
10
11
11
10
11
01
10
01
01
11
01
00
10
10
10
00
01
10
10
11
00
00
01
11
00
00
10
11
01
01
10
11
10
00
00
01
10
10
10
00
11
10
00
00
01
10
11
01
10
10
10
01
00
10
10
00
00
00
01
10
01
10
11
11
00
01
10
10
00
00
10
10
01
01
00
00
11
11
00
00
11
01
00
10
11
01
01
11
10
10
01
00
11
11
00
01
00
10
01
00
10
01
11
11
01
00
01
10
10
00
10
10
01
10
10
00
00
00
00
00
10
10
10
01
10
00
00
00
00
00
01
11
00
00
00
01
11
10
11
10
10
00
00
01
10
00
01
00
00
00
11
10
00
00
10
01
00
11
00
00
11
10
10
00
10
00
10
00
11
00
01
01
00
00
00
10
11
01
00
11
10
11
10
10
00
00
00
10
00
01
10
11
00
11
10
01
11
10
00
00
10
10
00
01
10
11
10
10
00
00
10
11
00
00
10
00
01
11
10
00
01
00
00
10
00
11
00
00
10
00
00
10
10
10
10
00
00
01
10
00
01
10
11
11
01
00
11
10
01
10
10
10
10
01
00
11
00
10
10
10
00
10
11
01
00
00
00
00
10
01
11
01
00
00
11
10
01
10
00
00
00
11
01
10
11
11
01
01
10
00
10
11
00
01
01
11
10
10
01
00
11
10
10
01
10
00
01
10
10
11
10
10
10
10
10
01
01
10
10
00
10
01
11
10
01
00
00
00
11
11
10
01
00
10
10
11
10
01
10
01
11
10
10
10
10
00
11
11
10
11
01
11
00
01
01
10
10
01
10
11
01
00
01
01
01
10
01
00
00
11
10
00
00
00
10
10
10
00
11
10
11
00
00
10
10
10
00
11
10
00
01
00
10
11
10
00
10
10
01
00
10
00
11
11
01
00
10
01
10
00
00
10
10
01
00
00
11
10
00
01
01
10
01
11
10
00
10
01
00
10
11
10
01
11
00
00
00
10
10
10
00
01
00
11
10
00
00
01
01
01
11
10
11
11
01
10
01
00
00
00
10
10
00
00
10
00
10
00
10
10
11
01
11
00
01
00
00
10
00
10
11
11
01
00
10
00
10
10
00
10
00
11
10
01
00
01
10
10
10
00
00
10
10
01
00
00
00
01
01
10
01
10
10
10
01
01
01
00
10
00
10
00
00
11
10
00
00
10
10
00
10
11
10
11
00
01
10
11
10
10
10
00
01
00
00
10
10
01
00
00
10
00
00
00
11
00
01
11
00
11
10
01
00
00
01
10
11
00
11
10
10
01
00
10
00
00
11
00
00
10
10
11
00
10
00
00
10
11
10
10
10
00
10
00
00
00
10
10
11
00
00
00
00
10
10
00
11
00
01
10
10
00
10
01
11
10
01
01
00
00
00
11
10
00
00
10
10
00
00
10
10
10
10
10
00
00
01
00
01
10
00
10
10
10
00
00
10
10
01
00
10
11
01
00
10
00
00
10
01
10
10
01
00
00
10
00
10
01
00
01
00
01
11
01
10
10
00
10
01
01
10
11
00
01
11
10
01
00
00
00
00
10
00
00
11
00
11
00
00
10
00
00
10
01
00
01
01
10
01
10
01
01
00
10
10
10
10
00
01
00
11
10
00
11
01
00
11
10
01
10
00
01
00
01
11
00
00
00
10
00
00
11
01
11
10
00
00
10
00
11
11
00
01
10
10
10
00
10
10
00
00
01
00
10
00
00
10
00
11
10
01
00
01
00
00
01
11
00
01
01
00
10
01
10
11
10
10
11
00
00
00
10
10
10
00
00
11
00
00
01
00
00
11
10
10
01
01
10
10
00
11
01
00
00
10
10
11
01
00
11
00
00
01
10
00
00
00
10
10
00
10
10
00
00
00
10
00
10
10
01
11
10
01
00
01
11
11
01
00
11
01
11
10
11
01
01
10
00
01
10
11
00
01
10
00
00
00
11
00
10
11
00
00
10
10
00
00
01
01
11
10
10
00
10
11
11
01
11
00
10
00
10
01
01
11
00
10
00
11
10
01
10
00
00
10
00
11
11
10
01
00
00
01
10
01
11
11
01
11
10
00
11
11
10
00
00
11
00
10
01
10
00
00
00
00
10
10
00
11
10
10
10
00
10
00
01
11
10
00
00
10
10
11
10
10
00
00
00
00
00
10
01
10
10
00
00
11
00
01
00
01
11
01
11
00
10
10
11
10
00
00
10
00
01
10
11
11
01
01
11
10
00
00
00
10
10
00
10
00
10
00
00
00
10
01
00
00
10
01
00
10
10
00
00
11
01
00
11
01
01
10
01
10
00
11
00
00
10
10
10
10
01
00
10
11
10
01
00
00
00
00
00
00
11
11
11
00
10
01
10
10
10
11
00
00
10
01
11
00
00
00
10
01
00
10
10
11
00
01
10
10
00
00
10
10
00
00
00
11
10
10
10
01
10
10
00
00
10
11
10
01
10
11
11
00
01
00
00
10
01
10
11
01
00
11
00
11
01
01
10
11
00
00
11
10
10
01
10
10
10
10
00
11
10
00
11
00
01
01
10
10
00
10
01
01
10
11
01
00
11
01
00
10
01
00
01
00
10
10
10
10
00
00
10
11
00
01
10
10
10
11
10
00
01
11
11
10
10
01
10
01
00
10
00
00
10
10
00
00
10
11
01
00
10
11
10
00
00
10
00
00
01
00
10
10
10
00
10
11
11
10
00
01
11
11
00
10
11
10
01
00
10
10
00
10
00
00
10
10
11
10
00
10
10
01
10
11
00
00
00
00
10
00
10
01
11
10
10
00
00
10
10
10
01
00
10
00
10
10
10
10
01
00
00
11
11
00
11
10
01
10
01
10
10
00
01
00
10
00
00
10
10
00
01
10
01
10
11
10
10
11
00
10
00
00
10
01
10
00
10
00
01
01
10
10
01
00
00
01
00
11
00
00
10
00
00
11
11
10
11
00
10
10
00
00
11
01
01
11
00
00
01
11
11
01
01
11
10
01
11
11
01
01
00
11
00
00
00
10
10
00
01
10
10
00
00
10
10
00
10
10
00
00
01
00
11
00
10
01
10
00
10
00
01
10
11
00
00
11
00
11
00
11
11
10
00
00
00
10
10
10
00
10
00
01
10
10
10
01
00
01
00
01
00
10
00
00
00
11
10
10
11
01
11
01
01
00
00
11
10
10
00
00
10
11
01
10
10
00
10
00
11
10
10
00
00
10
10
10
01
01
00
01
00
00
10
01
01
10
10
01
10
10
11
00
11
10
00
00
00
00
11
00
00
00
00
00
00
10
11
00
00
00
01
10
01
00
10
11
10
11
00
00
11
00
10
11
01
01
00
00
00
10
10
01
10
01
00
11
00
00
00
10
00
00
10
10
11
00
00
10
11
01
11
11
01
00
11
00
00
11
00
10
11
11
10
10
00
00
10
01
01
10
10
11
10
00
00
00
00
11
11
00
01
10
10
10
10
00
10
00
00
00
00
10
10
00
10
00
10
10
00
00
10
11
10
10
10
00
11
10
10
01
00
00
00
10
00
10
00
10
11
01
11
11
00
10
01
10
11
01
00
10
01
01
10
10
11
01
11
00
01
00
11
10
01
00
11
01
01
10
11
11
00
11
11
00
01
01
10
10
00
01
01
10
11
10
00
11
00
00
10
01
00
10
10
00
00
11
11
00
01
10
10
11
01
10
01
00
10
00
00
00
10
10
00
10
11
01
10
10
00
01
10
10
10
01
00
10
01
11
00
00
11
01
10
01
11
10
01
00
00
00
00
11
10
00
10
01
01
01
00
00
01
01
11
10
00
01
01
10
00
11
11
11
11
00
10
10
00
00
10
10
01
11
00
00
10
00
11
00
01
11
00
00
00
00
10
10
11
10
00
00
11
01
01
00
00
11
10
00
11
10
01
00
11
00
00
00
01
00
10
01
01
01
10
10
00
00
10
10
10
10
01
01
10
00
01
00
00
10
00
10
11
00
10
10
10
00
10
10
00
11
11
00
10
11
11
01
11
10
01
00
00
00
10
10
01
01
10
11
10
00
00
10
11
11
01
10
00
10
10
11
01
00
11
00
01
00
00
00
11
11
00
10
10
01
01
00
01
10
00
00
00
10
10
00
00
11
10
11
00
11
10
10
10
00
11
10
00
00
00
10
11
00
01
00
01
10
10
00
00
01
00
11
00
00
00
10
00
00
10
10
10
00
10
10
00
01
00
10
10
10
00
10
00
00
00
11
10
00
00
00
10
00
00
10
00
10
01
10
11
00
10
00
00
11
01
11
11
01
10
00
10
01
10
10
00
00
10
10
00
10
10
11
11
00
00
11
11
10
00
11
11
10
10
00
00
11
00
11
11
10
01
10
00
10
00
00
10
10
00
11
00
10
10
11
00
10
10
01
11
00
10
00
00
00
01
11
10
11
01
00
01
10
00
00
00
10
01
00
11
10
01
00
10
01
10
11
10
00
00
10
10
11
00
00
01
00
10
10
00
10
10
10
00
01
00
00
10
00
11
01
10
10
11
00
00
01
10
10
10
10
11
11
10
01
10
10
00
00
11
10
01
00
00
01
10
00
01
10
10
11
00
11
11
00
10
11
00
01
10
11
10
11
00
00
00
10
00
00
10
11
01
10
10
00
11
00
01
01
10
10
00
10
10
11
01
10
10
01
01
10
10
01
01
00
11
10
00
01
00
01
01
10
10
11
11
10
00
10
01
10
10
00
00
01
10
01
01
11
11
11
10
11
10
11
00
00
10
11
00
10
00
00
10
00
11
10
10
10
10
00
10
01
11
11
00
10
00
00
10
11
10
01
01
11
10
01
10
10
01
00
11
10
01
00
10
00
01
00
10
00
01
00
10
00
11
11
00
11
10
11
01
01
10
00
00
10
10
00
00
10
00
00
11
10
10
01
00
10
10
10
10
10
00
00
00
11
00
10
01
10
11
10
10
10
00
11
00
00
00
01
10
10
11
00
10
00
11
10
01
00
00
10
11
10
11
11
10
00
00
10
11
10
01
10
10
11
10
01
10
00
00
10
10
10
10
01
01
11
11
01
00
00
00
10
10
11
10
11
00
01
01
00
10
01
00
00
10
00
00
10
10
10
10
01
10
01
00
10
01
10
00
00
01
10
10
01
00
10
10
01
10
01
00
10
00
01
11
10
01
00
01
10
01
00
11
00
00
00
10
11
01
10
10
00
10
11
11
10
10
11
00
00
10
11
01
11
10
00
00
00
10
10
11
00
11
01
10
00
01
10
00
10
10
11
01
00
00
01
10
00
10
10
00
00
00
10
10
01
00
01
10
00
01
11
01
01
00
10
00
10
00
00
00
10
10
00
11
11
10
10
00
11
01
10
00
10
11
00
10
00
10
10
00
01
00
00
10
10
00
00
10
00
10
10
11
00
00
00
00
11
00
11
11
10
10
10
10
01
00
11
10
10
10
11
10
00
11
00
00
01
01
10
11
00
00
00
10
10
10
11
00
10
01
00
10
10
10
01
00
00
10
01
01
01
10
10
10
00
00
00
10
11
10
11
10
00
00
00
00
10
00
10
11
00
10
00
11
01
00
00
10
00
10
10
01
11
01
10
10
00
10
00
11
10
01
11
00
01
11
10
00
00
00
01
01
01
10
01
10
10
01
00
01
11
01
00
10
10
01
10
10
10
10
11
00
11
11
10
11
10
11
00
01
11
10
01
00
01
00
11
11
10
10
10
00
01
00
11
00
00
10
01
11
00
00
00
00
01
00
01
01
11
01
00
10
11
10
11
11
00
01
11
10
00
00
10
00
00
11
01
10
10
00
00
10
01
01
01
10
10
00
00
00
11
10
10
00
01
00
00
11
10
11
11
11
01
00
10
10
00
00
01
10
01
10
11
10
11
00
01
11
11
00
00
00
00
00
10
11
00
11
11
01
10
10
00
10
10
00
00
10
10
11
01
11
10
11
01
10
10
10
00
00
10
10
00
00
10
10
00
00
11
10
00
00
00
11
10
10
00
00
01
00
01
11
10
00
11
11
01
01
11
10
00
11
01
10
10
00
01
00
00
01
10
00
10
11
00
01
11
11
01
00
01
00
10
00
00
10
10
11
00
01
00
01
01
10
01
10
00
00
10
00
00
00
10
00
10
10
11
10
01
00
10
01
00
11
11
10
10
10
00
01
11
10
01
10
10
01
10
01
00
01
10
10
10
01
11
10
01
00
11
00
00
00
11
10
00
10
11
00
00
11
11
00
00
01
00
10
11
00
10
10
00
00
00
10
00
00
10
00
00
10
00
01
11
00
11
10
01
00
10
10
01
00
01
01
11
01
00
01
11
00
01
00
00
10
00
10
10
10
01
00
11
01
01
00
10
01
01
11
10
00
10
10
00
10
00
01
11
10
00
10
00
00
00
10
00
01
10
10
10
01
01
10
00
10
01
00
00
00
10
01
00
00
10
10
10
00
01
10
00
01
00
00
01
00
11
00
01
10
01
00
10
00
01
10
10
01
00
01
01
10
10
10
10
10
00
00
11
11
00
11
00
01
11
00
10
10
00
00
00
11
00
10
10
11
00
10
00
00
10
00
00
11
10
10
10
00
00
10
10
10
00
11
00
00
10
00
10
11
00
00
00
01
11
00
00
10
10
11
00
01
10
01
10
10
00
10
00
00
10
00
10
10
00
00
01
00
00
01
11
10
10
10
00
10
00
01
10
11
10
00
00
00
00
10
00
00
10
10
00
01
10
01
00
11
11
00
10
00
01
10
10
00
10
10
00
11
10
01
00
01
11
00
10
10
01
00
01
10
11
10
01
00
00
11
11
11
10
10
00
11
10
10
10
01
00
10
10
11
11
11
01
01
10
10
00
00
01
10
10
00
00
11
00
01
11
01
01
10
01
00
00
11
10
00
01
10
10
00
01
11
00
11
00
11
11
00
01
10
11
01
00
10
10
00
00
10
10
11
00
00
10
00
00
00
10
11
10
01
10
10
10
00
10
10
10
00
00
00
00
00
11
11
00
00
10
00
01
11
11
11
10
00
01
11
10
00
10
10
11
11
10
00
00
10
00
10
01
01
10
10
10
01
11
10
01
00
01
00
10
01
00
01
10
10
01
10
00
00
11
10
01
00
10
00
01
00
00
01
10
10
00
11
01
10
10
10
00
00
00
10
11
11
10
01
10
00
00
00
00
00
00
10
10
00
11
00
10
00
10
10
10
10
00
10
01
10
11
11
10
10
00
10
11
10
01
00
01
00
11
11
01
11
00
01
10
10
00
10
10
11
01
11
10
01
10
11
10
00
01
10
01
10
01
01
00
00
00
00
10
01
00
11
10
00
10
10
00
00
01
10
00
10
00
10
10
01
00
00
10
01
00
10
10
00
01
11
10
10
00
10
11
10
11
10
01
01
01
00
00
00
11
10
11
11
01
10
00
11
11
01
11
00
00
01
00
11
10
10
00
00
11
01
00
10
10
00
11
00
10
00
10
01
01
00
01
10
11
10
11
10
10
10
00
00
00
10
11
10
01
10
00
10
00
00
10
10
00
11
10
10
00
01
11
00
01
11
00
00
10
10
11
10
01
01
01
01
11
10
10
00
00
10
11
01
10
00
00
01
00
01
11
10
11
00
10
10
11
01
00
10
10
01
00
10
10
10
00
01
00
00
01
10
10
10
11
01
01
01
00
11
00
10
11
00
11
10
00
01
11
01
00
01
10
11
10
10
01
01
11
01
01
10
01
10
10
01
00
10
11
00
00
00
10
11
00
10
00
10
10
11
10
10
01
11
10
10
10
00
00
11
10
10
01
00
00
00
00
10
10
11
10
00
10
10
10
10
10
00
10
01
11
10
10
00
00
10
00
00
01
10
00
11
01
01
00
11
11
00
00
00
01
10
11
00
10
00
01
00
00
10
10
01
11
00
00
10
10
10
00
10
00
00
10
10
11
11
11
00
00
11
00
11
11
00
00
01
11
10
11
00
00
00
10
11
10
01
00
11
01
01
01
10
11
11
11
00
00
10
11
00
01
10
11
10
01
01
00
00
10
10
00
11
11
00
11
00
00
10
00
11
00
11
10
00
00
00
00
10
00
00
10
00
10
00
11
10
00
00
00
11
00
00
11
10
01
00
10
10
00
11
11
00
01
01
10
10
01
01
00
11
00
11
11
01
10
00
00
10
10
01
11
00
10
11
00
01
10
00
00
10
00
00
10
00
00
10
01
10
10
11
00
10
11
00
10
11
11
00
11
10
01
10
10
11
10
00
00
01
10
01
10
01
00
10
00
10
00
00
00
10
10
11
00
10
10
10
00
00
10
10
01
01
00
00
10
00
11
01
00
00
10
10
00
10
10
01
00
11
00
00
10
11
00
00
11
10
01
00
00
11
01
01
10
10
00
10
00
00
10
10
00
00
00
11
01
00
11
00
10
10
00
00
00
10
11
01
10
10
10
00
00
11
01
00
10
10
10
00
00
00
11
01
01
10
00
10
11
10
11
10
00
10
10
10
00
11
01
11
01
01
10
10
11
01
10
11
00
01
11
00
11
10
10
00
10
00
00
00
10
11
00
00
10
11
11
00
10
10
10
00
11
00
11
00
10
11
10
01
00
10
10
11
00
11
11
01
10
00
10
10
00
11
00
01
10
10
01
00
10
10
10
11
11
01
10
10
00
01
10
00
11
10
11
10
10
01
10
00
00
00
00
11
01
00
10
11
10
00
10
11
01
01
00
01
00
01
00
11
00
00
10
11
10
00
10
11
01
01
11
00
10
10
10
01
00
11
11
10
10
00
01
00
00
10
11
01
00
00
10
10
01
10
10
10
00
10
10
10
11
01
10
01
01
00
00
00
10
11
01
00
00
10
10
00
01
10
00
10
11
10
01
00
10
01
01
01
00
00
11
11
10
10
00
10
00
01
11
00
10
11
00
01
10
00
10
11
11
00
00
01
00
10
00
11
10
10
00
00
11
10
11
01
10
00
00
00
00
10
10
11
10
00
10
10
10
01
11
01
10
10
11
00
01
10
00
00
10
10
10
00
01
00
11
10
10
10
01
00
11
10
00
10
10
11
01
10
00
11
10
11
11
11
00
11
10
00
10
10
00
10
10
10
10
11
10
01
11
10
10
10
11
00
10
10
00
10
10
00
00
11
11
11
01
11
00
00
10
01
10
00
00
11
00
00
10
00
10
01
10
10
10
10
11
00
10
00
11
10
00
11
00
00
00
10
01
00
01
10
01
01
00
10
10
11
00
10
00
00
10
00
11
00
00
11
00
00
00
10
10
00
00
10
10
00
00
10
00
10
00
01
00
10
11
01
11
10
10
10
00
00
11
00
00
01
00
01
10
10
00
01
01
11
11
10
01
10
00
00
01
10
10
00
10
10
10
00
01
11
10
00
10
01
10
11
11
10
01
00
10
00
10
10
11
01
01
00
00
10
10
10
00
01
10
00
10
10
10
00
00
01
10
10
10
11
00
00
10
00
00
00
00
00
11
01
10
10
00
11
01
11
10
11
10
10
01
11
00
01
11
00
10
01
00
01
11
11
10
00
00
10
00
00
00
00
00
11
00
10
11
11
10
01
10
10
01
01
11
00
00
10
01
00
10
00
11
00
00
00
00
11
10
00
01
00
11
11
00
00
10
11
00
01
11
00
10
00
01
00
11
10
01
00
10
11
00
10
10
11
11
11
10
00
01
00
01
11
10
00
10
01
01
10
11
01
00
10
00
00
00
10
10
11
11
11
11
01
01
00
00
00
01
11
11
01
01
10
10
00
10
10
10
01
01
00
10
01
01
10
01
11
10
00
00
01
00
10
10
00
01
10
11
00
11
00
10
00
00
01
10
01
00
00
10
10
00
00
10
10
00
10
10
10
00
10
10
10
00
00
11
00
01
10
10
00
00
00
10
00
00
00
10
10
00
01
10
11
11
01
10
10
11
00
11
00
00
10
01
00
10
11
00
10
10
10
10
00
10
01
10
11
11
10
11
11
11
01
11
01
00
10
10
01
00
10
11
01
00
01
00
11
00
10
00
10
10
00
00
01
00
10
10
11
10
01
10
01
10
10
00
01
00
11
10
00
01
10
01
00
00
10
11
01
00
10
10
00
00
11
10
10
11
10
10
10
01
00
00
10
00
10
10
01
10
11
00
10
11
00
00
11
10
00
10
01
00
11
10
00
10
01
00
10
11
00
11
00
10
10
01
11
00
11
10
10
10
00
10
10
00
00
01
00
10
11
11
01
01
10
10
00
01
10
01
10
10
10
10
10
01
10
10
10
00
10
01
10
00
10
11
00
00
10
11
01
00
10
10
01
10
10
01
10
00
10
11
00
00
10
10
10
00
11
00
00
00
10
00
00
10
11
10
01
00
00
00
00
01
10
11
00
00
00
10
10
10
11
01
11
10
11
00
11
11
11
10
00
01
00
11
00
00
10
00
11
10
00
00
11
00
10
00
00
10
10
11
10
01
10
10
11
01
01
00
11
01
01
00
10
11
00
11
00
00
10
10
00
00
10
10
10
10
11
00
00
01
11
10
10
00
00
00
10
11
11
00
00
01
11
01
01
10
00
00
11
00
10
10
01
10
00
01
01
11
10
01
10
10
00
00
11
11
00
01
01
01
00
11
10
11
10
00
01
10
00
00
10
10
11
11
10
10
00
00
00
10
01
10
10
10
11
10
10
10
00
00
00
00
00
00
00
10
00
00
10
00
10
11
00
11
10
11
00
10
01
00
00
11
10
10
00
10
00
01
00
01
10
00
10
10
01
10
01
11
11
00
11
10
00
10
10
10
00
01
10
00
00
01
01
10
00
10
11
01
11
10
00
11
10
00
00
01
10
10
10
01
00
10
10
00
01
11
11
11
00
10
01
10
11
00
01
11
00
00
10
00
10
11
10
00
00
01
00
10
00
01
01
10
00
01
11
10
00
10
10
00
10
00
00
10
11
00
00
00
00
00
01
11
01
00
11
11
10
00
10
00
11
00
00
11
01
00
10
00
00
00
01
00
10
00
10
01
00
10
10
10
11
11
10
00
11
11
00
00
10
01
00
10
10
00
10
11
10
00
10
10
00
01
10
00
10
10
00
00
00
10
00
10
00
00
10
01
00
11
10
00
10
00
00
11
11
01
10
10
10
01
11
01
10
11
00
01
10
01
00
11
00
00
10
10
01
00
10
00
10
01
10
10
00
10
00
10
10
00
11
10
11
10
01
10
10
01
10
01
00
10
11
01
00
00
00
10
01
01
10
11
10
10
01
00
00
00
00
10
00
11
00
10
11
10
00
00
00
10
01
11
11
01
00
00
00
01
00
10
10
01
00
00
00
00
00
11
00
10
00
10
11
11
00
10
10
00
11
00
01
10
10
10
00
11
00
00
10
00
10
00
00
10
11
01
00
01
00
11
10
00
11
11
11
11
10
01
11
11
00
10
00
00
00
10
10
11
01
01
01
01
01
00
11
01
10
01
11
10
00
00
10
00
11
10
00
10
10
11
00
00
11
01
10
10
11
11
00
00
00
11
11
00
10
00
11
10
00
11
11
01
11
00
00
10
10
01
00
10
10
01
00
00
10
10
00
00
10
00
00
01
10
01
10
00
10
00
00
00
11
10
00
00
00
10
01
11
10
11
10
10
01
01
11
00
00
10
00
00
10
11
01
01
11
10
10
00
10
01
01
10
10
11
01
11
00
01
10
11
00
00
00
10
10
01
00
10
00
10
00
00
11
01
01
10
10
10
11
00
10
00
00
10
00
00
10
00
00
00
11
00
10
01
00
11
10
10
00
10
10
00
00
00
00
10
00
01
01
00
10
00
01
00
00
00
11
11
01
10
10
11
00
00
01
01
10
10
00
10
10
01
00
00
11
10
10
11
00
10
00
10
10
00
01
00
00
11
10
00
01
10
10
01
00
11
00
11
10
00
00
00
01
10
00
11
01
01
10
10
10
00
00
01
01
11
11
10
10
00
10
11
00
00
10
10
00
00
00
10
00
00
00
11
10
10
00
00
10
10
00
00
01
00
10
11
10
01
10
01
01
10
10
00
11
10
00
00
00
00
00
00
10
11
00
00
00
00
00
00
01
00
10
10
00
10
10
01
10
00
10
00
11
00
10
00
11
11
11
11
00
01
11
11
11
01
01
10
10
11
00
00
11
11
00
01
10
11
00
10
11
10
01
00
00
11
11
10
01
10
00
01
00
00
11
10
00
10
10
10
11
11
11
10
01
11
10
00
00
01
01
11
10
01
10
00
00
10
00
11
10
01
00
10
00
11
00
10
00
00
00
11
01
01
00
11
10
01
11
10
10
01
00
10
00
00
10
10
01
00
00
10
01
00
01
10
10
01
01
00
10
00
10
10
00
11
00
00
01
10
01
11
11
00
10
00
01
00
10
11
11
01
10
10
01
00
00
10
10
10
11
10
01
11
10
11
00
01
01
10
10
11
01
01
00
11
01
11
01
00
10
10
10
01
10
10
00
11
10
00
10
10
01
10
01
10
10
00
10
00
00
00
10
10
11
00
10
01
00
10
10
00
00
11
00
00
10
00
11
00
10
10
11
01
00
01
00
11
10
00
10
10
00
00
00
00
11
10
00
00
10
00
10
00
00
01
01
10
00
11
10
01
00
00
10
10
00
00
00
11
00
00
11
00
10
10
10
11
11
01
01
10
01
10
11
10
10
00
11
11
10
11
00
01
10
11
10
10
00
00
00
01
00
11
10
10
00
00
01
10
01
00
10
11
11
01
11
11
10
00
01
10
00
01
11
11
10
00
00
11
10
11
01
01
11
00
10
10
11
01
11
11
00
00
00
10
00
00
11
10
01
10
01
01
00
11
00
00
10
00
00
00
00
10
01
10
10
11
11
00
00
10
10
00
00
11
10
00
10
10
10
00
01
10
00
10
01
00
10
01
10
01
00
11
11
00
10
00
00
10
10
10
01
01
01
10
11
01
11
00
00
10
10
01
10
10
01
11
01
11
10
00
10
11
10
01
00
10
00
00
10
00
10
10
00
00
00
01
10
10
10
10
00
11
01
01
00
10
10
10
01
11
10
01
00
00
01
00
11
10
10
01
11
10
10
00
10
00
00
00
10
10
00
01
10
10
11
10
11
10
11
00
00
00
10
10
01
10
11
11
01
10
01
00
01
10
10
01
10
01
11
01
00
10
10
00
00
10
00
00
00
00
10
11
00
11
10
10
10
00
11
00
00
00
00
11
11
00
00
10
00
01
10
11
00
00
00
11
11
00
00
10
00
10
00
11
10
01
00
00
10
11
10
00
11
11
11
00
00
10
00
10
10
00
00
10
00
00
10
00
00
00
00
01
01
11
00
00
10
10
10
11
10
00
00
01
10
10
01
10
01
00
11
01
10
00
01
11
10
00
11
00
10
11
00
10
10
01
10
01
00
00
00
00
11
00
10
11
10
10
10
11
00
01
10
01
00
10
10
10
10
01
01
10
01
01
10
10
10
10
00
11
11
00
10
00
11
10
11
10
00
00
10
10
00
11
10
01
00
01
11
10
10
10
00
10
00
00
00
10
01
10
10
01
00
00
11
01
11
00
01
10
10
00
00
10
11
00
00
00
10
10
10
00
00
01
10
00
01
11
11
00
11
01
01
11
10
11
00
10
10
01
01
11
01
10
01
10
00
00
00
10
10
10
01
11
10
11
00
01
10
00
11
01
00
10
10
10
00
01
01
01
01
11
10
00
00
00
10
10
01
00
11
00
11
01
10
00
10
10
00
11
10
01
00
00
11
10
01
10
11
01
00
01
11
00
01
11
10
00
00
10
00
10
10
00
00
10
10
00
01
11
10
11
01
01
11
00
00
10
11
00
10
00
00
10
00
11
11
11
01
01
00
00
10
10
01
01
10
10
10
00
00
00
00
10
11
00
11
01
01
00
10
10
00
10
00
01
10
00
00
00
11
10
10
10
01
01
10
11
10
10
11
01
10
01
10
00
00
00
01
00
11
10
01
10
01
11
01
00
00
00
10
01
00
11
10
01
11
10
10
00
00
10
10
10
00
01
00
10
01
00
00
00
01
11
10
00
10
11
11
00
00
00
00
11
01
10
11
11
01
10
11
00
00
10
11
00
00
10
11
01
00
10
10
10
00
11
10
01
10
00
00
01
00
11
01
10
01
10
01
01
01
00
10
00
00
01
10
10
11
11
10
00
01
11
10
11
11
00
00
00
00
11
10
00
00
01
01
01
00
10
10
00
01
10
10
01
01
00
11
00
00
10
10
11
10
01
00
10
10
00
10
10
10
00
10
10
10
10
10
10
01
10
10
00
01
10
00
10
00
00
11
00
10
00
11
10
01
00
10
11
00
01
00
10
10
00
00
10
10
11
11
00
01
10
01
00
00
11
10
01
01
11
11
00
10
11
00
00
10
01
10
10
00
10
00
00
00
10
00
00
01
00
10
10
10
00
10
10
00
11
10
00
11
00
01
11
10
00
11
01
10
10
00
00
00
00
10
00
10
10
00
11
10
11
11
01
10
10
00
00
11
10
01
01
01
10
10
11
00
00
10
10
00
11
10
01
11
01
10
11
10
11
10
00
00
10
10
00
00
10
10
00
00
11
00
10
10
10
01
10
00
10
11
00
10
00
10
10
10
00
00
00
11
01
11
11
11
11
10
00
00
11
10
00
00
11
10
00
11
10
01
01
00
00
10
10
10
11
10
10
00
10
00
00
01
00
11
11
11
11
01
11
00
10
00
10
10
00
01
10
10
00
01
10
01
00
01
10
00
11
00
00
10
10
00
00
00
10
00
00
10
01
11
10
10
00
10
10
01
01
00
00
10
01
11
00
10
10
11
11
11
01
10
00
00
11
00
10
00
01
11
11
00
00
01
01
00
10
11
00
10
00
00
00
00
11
10
11
01
01
11
00
10
00
10
10
10
00
00
10
00
00
01
10
00
00
11
10
10
10
11
10
10
00
10
00
01
10
01
00
10
01
10
01
00
10
11
00
11
00
10
11
00
00
01
10
10
00
11
10
10
00
00
10
11
10
10
11
00
01
01
10
10
01
10
10
00
00
10
11
01
00
10
01
01
00
10
11
10
10
00
11
00
11
11
01
10
10
00
00
00
10
01
11
10
01
00
00
11
00
00
00
11
10
10
11
00
01
00
00
11
00
01
10
00
00
00
11
01
10
10
00
01
11
00
00
10
00
10
10
01
10
00
10
11
00
00
11
10
11
00
00
01
10
00
00
00
10
00
01
11
11
10
00
10
01
00
10
10
00
00
00
10
00
10
10
10
10
11
11
10
11
10
10
10
01
01
10
10
11
00
01
00
00
10
10
11
00
11
10
00
10
11
00
00
11
00
00
10
10
11
00
11
11
01
01
11
00
00
10
00
01
10
11
00
01
00
11
10
10
10
01
00
11
00
00
10
00
10
00
11
00
00
01
00
11
00
00
01
10
11
11
10
10
00
01
00
01
11
10
10
11
01
00
01
10
10
01
00
01
00
11
01
00
10
10
11
00
01
11
01
00
10
00
10
10
10
00
00
00
01
10
01
00
00
10
10
10
10
00
01
10
11
10
10
10
10
00
00
11
10
00
00
00
10
00
01
10
00
10
10
00
01
11
10
10
01
10
11
00
01
00
01
10
01
11
11
11
10
00
00
00
01
00
11
11
10
10
01
10
11
00
10
00
01
01
00
11
10
00
11
10
00
10
00
11
10
00
00
00
10
01
00
11
10
11
01
10
00
00
01
01
10
10
00
10
11
01
10
10
10
01
00
01
10
11
11
00
11
11
00
00
10
01
00
00
11
11
00
10
00
00
00
10
10
00
00
11
10
00
01
10
11
11
01
01
00
01
10
10
11
01
01
11
10
00
11
01
00
10
11
10
10
00
00
10
10
00
01
10
10
00
11
10
01
00
00
00
10
00
11
11
10
00
01
01
00
00
10
11
10
00
00
00
10
11
01
00
00
00
11
10
01
01
10
10
01
00
00
10
10
01
10
00
00
00
11
10
10
01
11
01
10
10
01
00
10
11
00
00
10
10
10
11
10
00
00
10
10
00
01
10
01
10
01
01
10
10
01
01
11
10
00
10
11
10
01
01
10
10
01
10
01
00
00
10
00
10
00
10
11
00
01
00
00
10
10
01
10
11
01
10
01
01
10
00
10
10
10
10
00
00
11
10
01
10
00
00
10
10
00
00
11
10
00
11
10
01
01
00
10
11
10
00
01
10
00
10
01
11
00
10
11
00
01
00
00
10
10
10
00
00
10
01
11
10
01
10
00
11
01
01
10
00
00
00
00
10
10
00
00
10
10
10
11
11
00
00
00
11
01
00
10
10
10
00
00
01
10
10
01
00
10
10
00
00
10
11
00
00
00
10
11
01
00
11
11
10
10
00
10
10
01
01
01
00
11
10
01
10
00
01
10
01
00
11
10
00
00
10
01
11
11
01
01
00
10
01
01
10
10
00
10
11
00
10
00
00
01
00
10
00
01
11
01
00
00
00
11
10
00
10
10
10
10
11
00
11
10
10
10
01
00
01
00
10
01
11
11
11
00
00
11
01
10
01
01
10
11
00
11
11
11
01
00
01
01
10
10
10
10
01
01
10
00
00
10
00
00
11
10
01
00
00
01
00
10
10
00
11
11
10
00
00
10
00
01
10
10
10
11
00
01
00
10
10
00
10
01
01
11
00
01
10
10
10
00
00
10
00
00
11
10
00
10
11
00
01
10
10
10
00
10
00
11
00
10
00
10
01
11
10
00
10
10
00
00
10
10
01
00
11
00
10
10
11
00
00
10
10
01
00
00
00
11
00
10
10
11
00
10
01
00
10
00
00
00
10
11
00
10
10
10
00
10
11
11
10
10
10
00
00
10
10
00
01
10
01
01
10
01
01
00
10
01
01
00
00
10
10
10
00
10
11
01
10
10
00
00
00
10
10
00
00
00
01
01
00
10
00
00
10
01
01
11
10
00
00
01
11
10
11
10
00
10
00
10
10
01
00
11
00
10
11
10
10
00
10
10
10
10
01
00
00
00
00
01
10
10
10
00
11
11
11
01
11
11
00
10
00
00
00
01
11
10
01
00
11
11
00
10
10
00
01
10
00
00
11
10
11
00
00
11
10
11
01
10
10
11
00
00
10
10
11
00
10
00
00
11
10
01
00
00
10
10
00
00
11
10
11
00
00
00
00
00
10
00
01
10
11
11
11
11
10
00
10
10
01
00
01
10
10
10
01
10
10
00
10
10
01
00
10
00
01
00
01
10
00
00
11
10
10
10
00
11
10
01
11
00
10
10
10
10
10
00
00
10
00
00
00
11
01
11
11
00
11
10
10
10
11
01
01
11
00
01
10
10
00
10
11
00
00
10
11
00
11
01
01
01
10
10
01
00
01
00
10
00
00
10
10
00
00
10
00
01
11
10
00
10
10
00
00
11
10
01
10
10
00
00
10
00
10
10
00
10
10
00
00
11
10
10
00
00
00
11
10
00
00
10
00
10
10
10
11
00
10
00
00
00
11
10
01
00
10
10
01
11
10
11
00
10
10
10
00
10
10
00
00
11
00
10
10
00
10
00
01
00
01
11
10
00
01
01
10
01
00
01
10
00
10
10
00
01
00
10
10
11
10
10
00
00
00
10
01
00
11
10
11
01
10
11
11
01
00
10
11
00
10
10
00
00
10
01
00
11
00
10
00
00
01
00
00
10
11
00
00
10
10
11
11
00
01
00
01
01
10
10
10
10
00
00
00
10
00
00
00
11
10
11
10
01
01
01
00
10
00
11
10
01
01
10
00
00
11
10
10
01
01
10
11
01
00
10
11
10
11
00
00
01
00
11
10
00
00
00
00
00
11
10
10
10
00
00
11
01
01
10
11
10
00
01
00
00
10
11
11
10
01
00
11
11
11
11
00
01
00
00
10
10
01
01
01
10
11
10
00
10
11
00
00
11
10
11
00
00
00
10
00
01
11
01
10
01
10
00
00
10
10
00
00
10
10
01
00
00
00
10
10
00
11
11
10
11
10
00
01
10
10
00
00
10
11
11
10
00
10
11
11
10
00
00
11
10
10
01
00
10
00
10
01
11
00
10
10
00
01
01
11
00
00
01
01
10
10
00
00
10
00
11
11
01
11
11
00
11
00
00
11
11
00
00
00
10
00
00
00
10
00
00
10
10
10
00
10
00
10
10
10
11
00
01
10
00
00
10
11
00
10
11
00
01
00
11
00
10
10
01
10
10
10
10
00
00
01
10
00
01
11
10
00
00
10
10
01
01
00
10
00
11
11
00
10
00
10
11
11
00
01
00
10
00
10
00
11
10
00
10
10
00
11
00
00
00
10
01
01
00
11
11
01
01
00
10
10
01
00
00
10
11
10
10
10
01
01
10
10
11
10
01
00
01
10
10
00
10
10
00
00
00
10
10
11
11
00
01
11
11
00
00
01
11
10
00
10
10
00
01
00
01
10
11
10
10
10
11
01
00
01
10
10
01
01
00
01
11
11
11
10
00
00
00
00
10
10
00
00
00
00
10
01
11
00
00
10
10
10
10
01
01
01
11
00
00
01
11
10
00
00
10
11
10
10
00
10
10
01
10
01
10
00
00
10
01
01
00
11
11
11
01
01
11
11
10
01
01
10
01
00
10
10
01
01
01
00
10
01
00
10
00
00
00
01
11
00
00
01
10
00
01
10
00
11
00
01
10
00
00
10
01
10
01
00
10
01
11
11
01
11
00
01
01
01
10
11
00
10
10
10
00
01
10
10
10
00
00
00
10
10
00
00
10
10
01
00
00
11
10
11
11
00
01
11
11
01
00
10
00
11
00
00
10
11
11
11
10
01
01
10
10
10
10
00
00
00
11
00
00
01
00
01
10
00
00
01
00
11
00
00
00
11
10
00
11
00
01
10
00
00
01
00
00
00
10
11
00
10
10
11
01
01
00
10
11
11
10
11
00
01
11
10
01
10
10
01
00
10
01
00
01
01
00
11
10
10
00
00
10
10
01
01
00
11
00
00
01
10
00
00
01
10
00
00
10
11
01
10
11
00
00
10
11
10
01
00
11
00
11
00
00
00
11
00
01
00
11
00
10
10
01
11
00
00
11
00
01
00
00
10
11
01
00
10
10
00
00
10
10
00
00
10
10
00
10
10
10
10
00
10
10
00
00
10
11
10
10
10
11
10
01
01
10
00
00
10
10
11
11
00
11
01
10
10
11
10
11
10
01
01
10
10
00
00
11
10
00
11
11
11
00
11
10
00
11
11
00
11
10
01
10
01
01
11
01
00
01
01
11
10
01
10
10
00
00
10
11
11
10
00
10
00
00
10
10
00
00
00
10
00
00
10
11
01
10
00
00
10
10
10
00
00
11
10
10
00
01
10
10
01
00
00
10
11
00
01
10
01
00
11
11
10
10
00
00
10
11
10
10
10
00
00
10
00
00
11
10
10
10
11
10
10
01
00
10
11
10
00
00
10
11
01
00
10
00
10
00
10
10
00
01
11
10
10
00
00
10
10
10
00
10
00
10
01
11
10
10
00
00
00
10
10
01
11
10
00
10
10
10
10
00
00
10
00
11
01
00
01
00
01
01
11
00
10
10
00
00
00
11
11
00
10
10
10
00
11
00
11
01
10
10
11
11
10
11
00
11
00
00
00
00
10
10
00
11
10
10
01
11
10
10
10
00
00
11
11
00
00
11
01
10
11
11
10
01
01
10
10
01
00
00
00
10
11
00
00
10
10
01
00
11
10
10
01
00
11
11
10
00
00
10
10
01
01
11
10
10
00
00
00
11
10
10
00
10
01
10
10
00
11
00
00
11
01
10
10
01
00
00
00
01
11
10
11
00
00
10
11
11
01
00
01
00
10
11
01
00
10
10
00
00
11
10
01
00
10
00
01
00
01
10
10
01
00
11
00
01
11
10
00
10
00
00
00
10
10
00
00
00
10
00
00
10
00
11
11
11
00
00
10
10
10
00
00
11
00
00
00
00
01
00
11
01
00
11
00
00
11
00
01
11
00
00
11
10
10
01
01
10
00
00
10
00
00
10
10
11
00
11
11
11
00
10
10
10
10
01
10
00
00
10
00
10
10
01
00
00
10
11
00
11
00
10
10
10
01
00
10
00
00
10
00
00
10
11
01
01
10
00
00
01
10
10
00
11
11
11
01
00
10
10
10
11
10
00
01
00
11
10
10
11
10
00
11
10
10
11
10
00
01
01
00
00
10
10
11
01
10
00
01
10
11
11
01
00
10
11
00
00
00
10
10
10
00
01
01
00
00
00
01
00
01
10
10
01
01
10
10
01
00
10
11
00
01
10
01
10
10
01
01
00
10
00
00
00
10
00
10
00
00
00
10
01
10
01
11
10
10
10
01
00
00
00
00
10
01
10
10
01
00
01
11
00
10
10
10
10
00
01
10
11
00
11
10
10
00
00
10
10
00
11
01
00
11
11
00
11
00
00
10
01
10
00
01
10
00
00
10
00
00
10
11
00
01
11
10
11
00
01
10
11
01
01
11
11
11
00
00
11
10
01
00
10
11
11
10
01
01
10
00
00
10
10
10
00
00
11
10
10
01
00
01
00
00
10
10
10
00
10
10
01
10
00
01
00
00
11
11
10
00
10
11
10
00
10
10
10
11
10
10
01
10
01
00
10
10
10
01
00
11
10
10
00
00
00
11
11
01
00
00
10
00
01
11
11
10
11
11
00
10
00
10
01
01
00
01
10
10
10
10
10
11
10
01
01
10
00
10
10
01
00
10
10
01
00
10
01
01
10
10
10
10
00
00
00
00
10
10
00
00
11
00
01
00
01
10
10
01
11
11
00
00
10
11
01
10
11
01
10
10
10
00
00
10
10
00
01
00
01
10
10
10
11
01
00
01
10
10
11
01
00
10
11
01
10
00
10
01
10
10
00
11
10
00
10
00
00
11
00
11
10
01
10
11
11
00
00
10
11
00
01
00
00
11
10
00
00
10
10
10
00
00
01
00
00
11
10
10
11
01
11
10
10
00
10
10
11
00
00
11
10
01
00
11
10
00
10
10
00
00
01
11
01
00
10
00
10
00
00
10
10
01
10
10
00
01
00
01
00
10
00
10
10
10
10
00
01
10
00
01
11
11
10
11
01
01
10
10
10
01
00
01
01
10
00
10
10
01
01
10
00
00
00
00
00
11
10
01
00
10
10
01
00
10
10
00
10
11
11
01
01
00
11
01
01
10
10
00
11
11
00
10
11
00
00
01
10
00
01
10
10
10
11
00
10
10
10
00
00
00
11
01
00
10
10
10
11
00
00
00
00
10
10
01
10
01
00
11
10
10
11
10
11
00
00
11
10
00
10
00
01
00
10
01
10
10
00
01
00
00
00
10
11
00
00
10
10
10
10
00
01
10
11
00
11
11
11
10
00
10
10
00
00
10
01
00
01
10
00
10
11
01
10
11
00
00
10
11
00
11
10
11
10
00
10
00
00
10
10
00
01
01
11
10
01
10
00
00
01
11
10
01
00
01
10
00
10
10
00
01
01
00
10
10
00
11
10
00
00
10
10
10
00
00
01
11
10
11
10
00
10
10
00
01
01
10
00
10
10
11
11
00
11
10
00
10
00
10
00
10
10
01
00
10
10
10
00
00
00
01
00
11
10
10
00
10
01
11
00
01
00
00
10
00
00
10
10
01
10
01
10
10
11
10
11
00
10
10
10
10
00
00
00
00
11
00
10
01
00
00
01
11
10
10
11
00
10
00
11
00
10
10
00
10
01
11
00
00
00
11
00
00
00
00
10
11
00
00
00
10
01
10
00
00
00
11
01
00
10
00
10
01
01
11
00
10
01
01
11
10
11
00
01
10
11
10
00
00
10
10
00
00
10
10
01
10
11
10
01
00
11
10
10
00
00
11
10
00
01
00
10
11
10
10
10
00
10
01
00
00
00
00
00
01
00
00
10
00
10
11
00
01
00
00
10
00
10
10
00
01
00
01
11
01
01
11
00
10
01
00
11
00
01
10
00
00
11
00
00
01
11
10
10
00
11
00
01
00
00
10
11
00
10
10
11
10
01
00
00
01
11
10
10
01
10
11
01
11
01
00
10
00
00
01
00
00
10
00
00
01
10
10
10
10
00
00
00
00
01
01
11
11
00
00
00
00
10
11
10
11
01
01
00
10
11
10
11
01
01
11
10
00
01
01
00
11
11
10
00
10
10
00
10
01
00
11
10
00
00
00
11
10
11
00
11
01
10
10
10
00
10
11
00
01
10
10
10
00
10
10
10
10
00
00
00
10
10
10
01
00
00
01
11
10
00
01
01
00
10
10
11
00
10
10
00
01
00
00
10
01
10
01
00
00
10
11
10
00
00
10
01
01
11
11
01
11
00
10
11
00
10
10
11
00
11
10
00
00
00
00
10
01
10
00
11
01
00
00
11
10
00
10
00
10
10
10
11
00
00
00
01
10
00
10
11
00
00
11
00
10
01
00
00
10
10
00
01
00
01
00
10
11
11
11
10
01
00
00
10
10
10
01
00
10
11
10
01
00
01
11
00
11
10
00
00
11
10
10
10
00
10
00
00
11
00
10
01
10
00
11
10
10
11
11
01
00
10
10
00
00
00
01
00
11
10
10
10
10
00
00
11
10
00
11
00
01
00
01
10
00
00
01
00
10
01
00
11
00
11
11
10
00
10
00
01
00
11
00
10
01
10
10
10
00
11
11
11
00
00
00
00
10
00
00
00
10
01
00
01
01
11
01
10
10
00
01
11
00
01
10
00
11
00
00
00
01
10
01
01
00
11
00
00
11
00
00
11
10
01
10
10
00
10
11
00
10
10
10
11
00
00
11
11
10
01
11
01
11
00
00
10
01
01
00
01
10
00
10
00
01
00
11
10
00
10
11
01
00
11
11
10
00
01
11
00
00
10
11
00
01
10
10
00
00
00
11
10
00
10
00
00
10
11
10
10
00
10
00
00
00
00
00
10
10
10
00
10
00
00
10
01
00
11
10
10
00
00
00
01
10
11
01
00
10
01
00
10
00
00
00
10
10
10
01
11
10
10
10
01
00
00
00
00
00
01
01
11
11
00
10
01
10
10
11
10
00
00
10
00
10
01
10
00
01
00
11
10
10
10
10
01
00
11
10
11
11
01
00
01
10
00
01
10
10
00
00
10
01
00
01
11
01
10
01
00
10
10
10
01
00
10
11
01
11
10
01
00
10
10
10
01
01
01
01
11
10
00
00
00
10
00
10
11
10
11
10
00
10
10
00
01
11
10
10
01
11
01
10
10
00
10
10
00
00
00
10
01
00
10
10
11
00
01
10
10
00
00
00
10
01
01
10
11
01
00
11
01
00
00
00
11
00
01
10
00
10
00
10
00
01
00
01
00
10
00
10
00
01
10
11
01
01
00
00
11
11
10
00
11
10
10
01
10
10
00
00
00
01
11
01
00
10
01
00
11
10
00
01
10
01
10
10
00
01
10
11
10
01
01
10
01
10
00
00
10
01
10
11
00
00
11
11
00
10
01
00
10
00
00
10
00
00
00
00
00
11
00
11
01
00
01
01
10
11
10
00
10
10
00
10
10
01
10
00
00
10
10
11
10
10
01
11
11
11
00
00
00
11
00
01
11
10
00
10
10
00
00
10
11
01
00
00
00
00
00
10
00
11
11
11
11
11
11
11
10
00
10
01
00
10
10
01
00
01
00
10
00
10
10
11
00
01
10
11
10
10
01
01
00
11
00
00
11
11
11
10
00
00
10
11
11
11
00
01
10
01
10
10
00
00
00
10
11
00
11
11
00
01
00
00
10
01
00
00
11
11
10
00
11
10
00
00
00
01
10
10
10
00
10
00
10
01
10
11
11
11
11
10
11
10
10
00
00
10
11
10
11
10
10
00
10
01
10
11
00
10
11
00
00
01
00
00
11
11
11
10
10
10
00
00
10
00
00
00
00
10
00
11
01
10
10
11
01
00
01
00
00
00
11
01
10
00
00
00
00
10
01
10
10
10
00
11
11
10
11
01
00
11
10
10
00
00
10
01
10
11
11
01
10
10
01
10
00
00
00
11
00
10
11
01
01
00
00
11
10
10
00
00
10
10
11
00
01
10
11
01
01
11
01
10
10
10
00
10
10
11
00
00
11
01
00
00
11
11
11
10
00
10
00
01
01
10
11
01
10
01
00
00
10
00
01
00
00
10
11
11
01
10
10
11
10
01
01
01
10
10
00
00
00
10
10
10
00
00
10
01
10
10
00
10
00
00
10
00
00
10
00
00
00
10
11
10
10
00
10
00
00
10
10
01
01
11
10
00
10
10
00
00
10
10
11
10
11
00
10
10
10
10
00
11
00
00
10
11
11
01
00
10
00
10
00
00
11
11
10
10
00
00
00
10
00
01
01
10
00
11
11
00
11
00
00
01
11
10
01
11
10
00
10
10
10
00
01
10
11
10
10
00
10
01
00
10
11
10
10
00
11
10
01
11
11
00
01
00
01
00
11
11
00
01
10
00
00
00
10
10
01
11
00
00
00
11
11
10
10
10
10
01
00
10
01
01
11
10
11
00
11
11
00
01
00
10
11
10
01
10
10
11
11
00
00
01
00
01
10
10
11
10
00
01
10
10
01
10
01
01
11
10
10
10
11
10
00
10
10
01
11
00
00
00
00
10
00
10
11
00
00
11
11
10
00
11
00
01
10
00
00
01
00
11
10
01
11
10
10
00
00
00
10
11
00
11
10
00
01
00
01
10
00
11
11
10
01
00
10
00
11
00
11
10
00
10
11
00
00
10
01
11
10
00
00
00
10
00
10
00
01
01
11
10
00
10
11
00
01
10
10
11
01
10
00
01
01
11
01
10
01
00
00
10
10
00
10
10
01
11
01
01
10
10
10
10
11
10
01
00
00
11
10
11
10
10
01
00
10
11
10
01
11
00
00
10
10
00
10
11
00
01
00
10
00
00
00
10
11
01
00
01
10
01
00
11
10
01
10
10
00
10
10
01
00
11
00
00
00
10
01
10
10
00
10
10
00
10
00
00
00
10
00
11
00
00
11
00
01
10
10
00
10
01
10
10
00
10
10
10
10
10
10
01
10
10
00
10
10
00
00
00
01
01
10
10
11
11
00
10
00
11
11
00
11
00
00
01
00
01
00
10
11
10
00
00
01
10
00
01
01
10
01
00
00
01
10
01
10
10
00
11
11
11
00
01
10
10
01
10
10
00
01
10
10
01
00
10
10
01
10
00
10
11
00
00
10
01
00
00
00
10
10
10
11
10
10
01
11
10
10
11
00
00
01
10
10
10
01
01
10
11
11
11
01
01
00
11
11
00
00
10
10
00
10
00
01
10
01
00
00
10
00
00
01
11
10
10
11
00
00
00
10
10
00
00
11
01
00
10
00
10
01
00
01
10
01
00
10
01
11
01
11
10
00
00
11
01
10
11
00
10
00
00
10
10
00
00
00
10
00
10
01
01
00
00
11
00
10
10
00
01
10
11
10
01
01
00
10
10
00
00
00
11
10
00
00
10
11
00
00
11
11
00
10
01
00
01
01
01
11
10
00
10
01
10
11
00
00
00
11
11
01
00
11
10
00
00
00
10
00
00
10
10
10
10
11
00
00
00
00
01
00
11
11
00
01
01
10
10
00
00
10
10
00
11
10
10
00
10
10
00
01
01
11
11
10
10
00
00
00
11
10
00
11
11
01
11
10
10
10
10
11
00
00
11
00
10
11
10
00
00
00
01
11
10
01
00
11
00
01
00
00
01
00
00
10
10
00
01
10
10
00
01
10
00
00
11
01
01
00
10
10
00
10
01
01
10
01
00
00
01
00
01
10
10
01
10
10
01
00
10
10
00
00
10
01
01
00
01
10
10
00
10
10
00
00
10
10
00
01
10
11
00
01
00
11
10
01
10
10
11
01
01
10
00
00
00
01
10
00
00
10
10
00
01
11
10
11
01
00
10
01
00
01
11
11
10
11
10
00
11
10
11
00
10
10
11
00
01
00
10
00
11
10
00
10
00
00
10
10
01
10
10
00
00
10
10
00
00
11
10
10
11
10
10
10
11
01
10
11
01
00
10
11
00
00
00
10
00
00
11
10
11
00
00
00
01
00
11
10
10
10
11
10
01
00
10
01
00
10
11
11
00
11
11
00
10
10
00
10
11
10
10
00
00
00
11
00
00
11
00
00
11
00
01
10
11
00
10
11
00
01
10
10
00
01
10
01
01
00
00
10
10
10
11
01
00
10
11
00
10
00
00
10
11
00
00
00
00
10
11
00
01
10
10
00
10
00
10
01
01
10
10
01
01
11
00
11
10
00
10
10
00
00
00
11
00
01
11
10
10
10
10
00
10
00
01
10
10
10
11
01
00
11
00
00
10
00
00
10
10
00
10
10
10
10
01
01
00
00
11
00
00
00
00
10
10
10
10
00
00
10
10
10
10
00
01
11
10
01
00
10
00
10
01
00
10
11
10
00
01
00
01
11
01
11
10
10
10
00
00
10
11
00
01
11
10
00
11
10
11
10
01
10
11
00
10
00
11
10
11
10
00
00
00
10
01
00
11
10
00
00
00
11
11
10
01
01
01
11
10
11
10
00
00
10
00
01
00
00
11
11
10
00
11
11
00
10
10
01
00
10
00
00
10
11
10
10
10
11
01
00
10
00
10
10
10
01
00
10
10
10
00
10
10
10
11
00
11
10
00
01
00
10
00
11
11
00
01
10
01
00
00
10
11
10
10
10
01
00
10
01
01
01
11
11
00
11
01
00
01
10
11
10
10
00
00
01
10
10
01
00
10
10
00
10
01
00
01
00
10
01
00
01
00
01
10
00
10
11
00
00
10
11
10
10
10
10
00
10
01
00
10
10
00
00
00
10
10
11
01
11
01
01
10
00
01
00
10
00
10
10
01
10
01
11
10
10
10
00
01
10
10
00
10
00
11
10
00
00
11
00
01
00
10
10
10
00
10
01
00
01
10
10
00
10
11
00
00
01
11
00
11
10
10
10
00
11
01
10
11
00
10
10
11
00
10
10
00
11
00
11
01
10
11
00
11
10
11
10
01
10
11
00
01
10
10
11
00
01
10
10
00
11
00
00
10
10
10
00
10
01
01
00
00
01
00
01
00
01
10
10
00
10
10
00
00
10
01
10
10
00
10
10
10
10
10
11
01
00
11
10
01
10
10
01
10
00
11
11
00
00
00
00
11
11
00
10
01
10
10
00
10
00
11
00
00
10
10
11
00
11
10
01
10
11
00
10
01
01
00
11
01
00
11
00
00
00
00
11
10
00
01
10
11
11
00
00
01
10
11
01
01
10
01
00
11
10
01
00
11
10
00
11
10
10
10
10
00
10
10
00
00
11
01
10
00
10
11
00
00
10
01
00
10
10
10
01
10
00
01
11
00
00
10
11
01
11
01
01
10
11
11
01
00
10
11
00
00
11
11
01
00
11
11
10
00
01
10
10
00
10
00
00
00
00
10
00
01
11
01
10
00
00
10
11
01
10
10
11
01
00
01
00
00
11
00
10
00
11
10
10
10
00
10
00
11
00
11
10
11
10
11
10
01
10
10
10
00
00
00
11
10
10
10
00
10
10
10
11
00
01
01
00
10
11
11
10
11
01
11
00
00
00
00
00
10
10
01
10
10
11
01
01
11
10
00
00
00
11
00
01
10
10
01
10
01
00
00
10
10
10
10
00
01
01
00
10
10
11
01
01
00
01
01
10
01
01
00
10
11
10
10
10
01
00
10
00
01
01
11
10
00
00
10
10
01
00
00
10
00
10
11
00
11
01
00
00
10
00
11
00
00
00
11
00
10
10
10
10
00
00
00
10
01
01
00
01
10
01
01
00
10
00
00
11
00
01
01
10
11
10
10
11
11
10
00
00
11
01
00
00
10
10
00
10
01
00
11
10
00
00
10
01
10
00
00
10
10
10
10
00
00
00
11
10
10
00
00
10
00
01
11
01
00
00
10
01
00
10
10
01
10
00
01
10
00
10
01
01
00
01
00
10
10
10
11
00
00
01
00
00
01
10
10
10
11
01
00
10
10
11
10
11
01
10
01
00
10
00
10
10
10
00
00
00
10
00
01
00
10
10
00
00
00
11
11
11
00
10
11
11
00
00
01
11
10
00
01
10
11
11
10
11
10
01
10
10
00
00
00
10
00
01
01
11
11
00
10
10
00
10
10
00
00
00
00
01
10
10
11
10
01
00
00
10
00
01
00
00
11
00
10
11
00
00
00
00
00
10
10
10
10
01
00
10
00
10
00
00
10
11
11
00
00
10
10
10
00
01
10
10
00
00
10
10
01
10
10
11
11
10
11
00
01
00
11
01
10
10
10
01
00
01
00
11
10
00
01
10
10
00
01
10
10
00
11
00
01
10
00
00
01
11
10
11
00
00
11
10
00
10
11
01
11
00
10
11
01
00
00
11
10
01
11
01
00
11
11
00
11
10
10
00
11
10
10
11
00
00
01
10
00
11
00
00
10
01
01
10
10
00
10
10
10
11
00
01
00
10
00
00
01
10
00
01
01
11
00
10
10
01
10
10
00
01
11
10
10
00
00
10
01
01
11
10
00
10
00
10
10
10
10
10
10
00
01
10
11
10
01
10
11
00
00
10
11
00
10
10
00
00
10
01
11
00
00
11
11
00
10
01
01
00
00
11
10
10
00
01
11
11
10
00
10
00
00
10
10
10
10
11
00
00
11
11
10
10
01
10
01
10
10
01
01
11
01
11
10
10
10
01
10
01
10
10
10
00
00
00
10
11
01
10
00
10
00
10
00
10
11
11
01
01
10
01
11
10
00
10
10
01
01
10
10
00
00
10
01
10
00
11
01
10
01
01
10
01
01
11
11
01
01
00
10
11
10
10
01
00
01
11
00
00
01
10
00
00
01
10
00
00
10
00
00
10
11
00
11
00
00
01
11
10
00
10
11
01
10
10
01
00
00
01
01
10
11
00
10
11
11
10
01
11
11
10
00
01
10
10
10
00
10
10
01
00
01
11
10
00
10
00
11
10
00
00
10
10
00
00
11
01
00
01
10
11
01
10
00
01
00
11
10
01
10
11
10
00
00
00
10
00
10
11
10
01
00
10
01
10
01
11
10
00
00
10
10
10
10
01
01
00
11
00
00
00
11
10
01
00
10
11
00
00
00
10
11
00
01
10
01
00
00
00
10
10
01
00
11
01
00
10
10
00
10
00
00
11
01
10
01
10
00
10
00
00
10
11
10
00
00
10
00
11
01
11
01
01
00
00
10
10
00
10
10
00
01
10
01
10
00
00
10
00
10
10
01
11
00
00
10
10
11
00
01
10
10
00
01
11
10
00
00
11
01
00
10
00
00
00
10
10
00
10
10
10
10
00
10
00
00
11
00
10
11
01
00
11
10
11
11
11
00
00
00
00
10
10
00
01
11
11
01
00
00
10
01
00
00
10
10
00
01
01
11
00
01
01
10
11
01
00
10
01
00
10
00
00
10
10
00
00
11
10
10
10
10
00
11
00
00
10
01
00
11
10
11
00
11
10
00
11
00
00
00
00
10
11
10
10
11
10
10
00
00
11
10
00
00
01
00
10
00
00
01
00
10
11
10
10
11
00
10
11
10
00
00
00
10
11
00
01
10
10
00
11
11
10
10
00
00
10
11
10
10
01
01
00
11
00
10
10
10
00
11
00
00
10
10
10
01
10
11
10
00
10
01
00
00
10
10
11
10
10
11
00
00
00
00
10
00
01
10
00
01
11
10
10
00
10
11
11
10
00
00
00
11
00
11
00
01
10
01
01
10
00
00
10
10
00
01
00
11
11
10
00
01
00
10
10
00
00
01
01
11
10
10
11
11
11
00
00
11
10
00
10
00
00
11
00
00
11
11
00
10
11
10
11
00
00
10
10
01
01
11
10
11
01
00
00
01
10
11
11
00
01
00
10
10
11
10
11
00
11
01
10
01
00
10
10
10
00
00
00
11
01
10
10
01
01
01
10
11
00
00
11
10
00
01
10
11
00
11
01
00
10
11
10
00
00
10
00
10
01
10
10
00
11
00
01
10
10
00
10
00
11
11
00
01
11
00
10
11
00
10
10
10
00
11
10
01
11
11
10
00
00
10
11
00
00
10
00
00
10
01
00
01
01
10
10
11
00
10
01
00
10
00
10
01
10
01
01
10
00
10
00
10
10
00
00
10
00
00
01
00
00
01
11
00
00
00
11
10
10
10
10
11
01
10
11
00
01
11
01
00
00
10
10
01
10
11
00
10
00
00
00
01
00
10
01
11
11
01
10
11
00
00
11
01
10
10
00
01
10
11
00
00
10
00
00
10
00
11
10
00
10
10
10
00
10
10
10
00
11
01
10
10
10
00
00
10
01
01
01
10
11
00
00
11
00
00
10
11
10
11
11
00
01
10
01
00
00
00
01
10
10
10
10
10
00
00
10
11
00
01
10
00
10
00
00
01
11
10
01
00
01
10
00
11
10
10
00
01
10
10
00
00
00
01
01
10
00
10
00
00
01
00
10
10
00
00
01
10
11
10
00
10
10
00
00
10
11
10
10
10
00
10
01
11
00
10
10
01
00
10
00
11
10
01
11
10
11
00
10
10
10
00
01
10
11
10
10
01
10
10
10
01
00
10
11
01
01
00
10
10
01
00
11
11
10
10
00
11
10
10
01
10
00
00
10
01
10
10
10
10
10
11
11
10
01
01
01
11
10
01
10
01
00
10
10
00
10
10
10
00
01
11
11
01
10
11
10
10
01
00
10
01
00
10
10
10
00
00
11
10
01
10
00
00
00
10
11
01
00
01
10
10
00
01
11
00
00
10
10
11
10
00
11
10
10
00
10
10
00
10
01
10
00
00
10
11
11
11
01
01
01
00
11
01
10
10
00
01
10
11
00
10
10
11
10
00
10
10
00
00
10
10
01
11
10
00
10
01
00
00
00
10
00
01
10
10
10
10
10
10
00
00
11
10
00
10
10
10
11
11
10
10
10
10
00
11
00
00
01
00
10
10
10
00
01
11
00
00
10
10
00
10
10
10
00
00
11
11
10
01
00
00
00
01
11
01
11
10
10
10
10
01
00
10
10
00
10
11
00
10
00
01
10
01
10
00
00
11
11
10
11
01
01
00
11
10
01
11
11
00
10
10
01
10
10
10
01
01
10
00
00
00
00
10
01
10
10
11
00
01
10
10
00
11
11
00
00
10
10
00
10
01
00
00
10
11
01
00
00
11
10
01
01
11
00
10
00
00
00
10
11
10
10
00
01
10
10
01
00
10
10
10
11
00
10
00
00
01
10
10
01
10
10
01
01
00
00
00
10
01
11
01
10
10
10
11
00
11
10
11
10
11
11
00
00
01
01
11
01
00
11
10
11
10
10
11
01
00
01
00
10
00
10
11
00
11
11
00
00
00
10
10
00
01
10
01
00
11
00
11
00
10
10
00
00
01
11
01
10
00
10
10
10
10
10
11
11
00
01
01
11
10
10
00
00
10
10
11
01
11
00
01
00
10
00
00
11
10
01
01
01
10
10
00
01
01
10
01
10
11
10
01
00
00
10
00
00
11
10
10
00
01
10
11
10
00
00
11
10
00
00
10
10
10
11
00
01
10
00
00
10
01
01
00
00
00
11
00
01
00
10
01
00
00
10
10
00
00
11
11
00
10
10
00
11
00
10
01
11
00
10
01
00
10
01
10
10
10
10
01
00
00
10
10
00
00
00
10
00
01
10
11
10
10
00
00
11
01
10
00
00
10
10
01
11
11
01
10
00
10
10
00
10
11
00
11
11
10
10
00
00
10
10
00
10
10
10
00
11
00
11
11
11
11
01
01
00
01
00
10
10
10
10
00
10
10
10
00
10
01
01
00
00
10
00
10
00
00
11
11
10
01
00
00
10
10
10
01
00
11
00
00
10
00
10
00
10
10
11
10
00
00
00
11
01
11
11
10
11
11
10
00
10
10
00
10
10
00
11
00
01
01
10
00
10
10
01
10
11
10
11
01
10
10
01
00
00
00
10
10
00
00
01
00
11
10
01
00
00
11
10
10
10
10
00
00
10
10
00
00
10
01
01
10
01
01
10
11
00
00
10
01
00
00
00
10
10
11
00
10
00
00
01
11
11
00
01
10
10
00
11
00
10
00
00
00
00
01
00
10
01
10
10
00
00
10
10
01
10
01
01
00
11
00
00
10
11
10
11
00
01
10
11
01
00
11
10
00
00
00
11
10
11
10
01
10
01
10
01
10
10
11
01
00
11
01
11
00
00
01
00
00
10
10
00
00
00
10
00
00
00
11
00
00
10
01
10
00
00
10
10
00
10
10
10
01
01
00
11
00
00
00
00
10
00
11
10
11
10
10
11
01
00
00
00
10
10
01
00
11
10
10
01
00
10
00
00
11
01
11
11
00
00
10
00
00
01
10
11
01
10
01
00
01
00
11
10
10
10
01
00
10
10
01
01
11
01
01
10
00
10
10
11
10
01
01
00
10
00
11
10
01
01
10
10
11
10
00
11
11
00
11
10
01
00
10
10
10
00
00
10
10
11
01
10
01
10
01
01
10
01
10
11
00
10
10
00
01
11
11
00
01
01
01
10
00
10
11
00
01
01
10
00
00
10
00
00
10
00
01
10
01
11
00
00
11
00
00
00
10
10
01
10
10
10
00
00
00
00
01
10
10
10
10
00
10
10
01
01
00
11
11
00
10
10
01
11
10
01
11
00
01
00
01
11
00
00
00
11
10
00
00
00
00
01
10
10
10
00
00
00
10
11
01
00
10
11
10
10
11
10
11
01
01
01
00
11
11
10
11
10
01
00
00
00
00
10
11
10
10
01
00
11
01
00
01
10
11
01
01
10
11
00
00
00
11
10
01
00
10
10
01
00
00
10
00
10
01
01
00
11
10
00
00
11
00
10
10
10
11
01
01
10
01
10
10
10
00
00
00
10
11
01
10
00
00
00
10
11
10
10
01
10
10
10
00
00
01
00
01
10
10
01
01
10
10
01
00
11
10
00
11
10
01
10
10
11
10
11
00
00
11
00
00
10
10
00
00
10
10
00
01
10
00
11
11
00
00
01
00
00
10
10
11
00
10
11
10
10
10
01
11
01
10
10
10
00
00
11
11
11
01
00
00
00
00
10
10
00
01
10
11
01
00
00
00
10
11
01
00
00
00
00
01
10
10
00
01
10
10
01
00
01
10
00
10
11
00
00
10
10
01
10
10
11
00
11
10
00
11
01
00
00
10
10
00
10
11
00
11
11
10
10
11
10
10
11
00
00
10
01
10
10
10
00
10
00
01
11
10
00
01
10
01
00
11
10
11
10
00
00
10
11
01
00
11
01
10
10
10
10
00
00
01
11
01
00
00
11
00
00
11
11
10
01
10
00
00
01
11
10
00
01
10
00
00
10
10
11
00
10
11
00
10
10
00
00
00
11
00
00
10
10
00
00
00
01
00
10
01
00
11
10
00
10
01
10
00
00
00
10
10
11
00
00
00
11
10
00
00
00
00
00
01
10
00
10
11
00
11
10
01
01
10
10
01
10
11
00
01
10
11
00
00
10
10
00
00
10
10
00
00
01
00
00
00
11
01
00
11
01
11
01
00
11
01
01
11
11
10
11
01
00
10
10
10
00
10
10
10
00
00
10
10
11
10
11
11
10
01
00
10
01
01
11
11
00
01
00
11
10
10
01
00
10
11
00
00
01
00
00
10
00
10
00
01
00
10
00
00
10
00
10
10
00
10
01
00
00
11
11
10
11
00
01
11
11
00
00
11
01
11
11
00
01
00
10
01
10
01
00
11
10
00
00
10
10
00
10
11
00
10
10
10
01
00
00
01
00
10
10
11
11
10
00
00
10
10
00
10
11
00
11
10
00
11
00
10
11
00
01
11
11
11
00
10
00
01
00
00
11
10
00
00
01
10
01
00
10
00
11
10
01
10
11
00
01
10
10
10
00
10
01
10
11
00
00
01
01
01
00
10
10
10
11
00
11
10
00
00
00
01
10
00
00
00
01
11
11
10
01
11
11
00
00
00
11
11
01
00
10
10
10
10
00
11
10
10
00
00
00
00
00
10
10
01
00
00
00
10
10
11
11
10
00
11
10
00
10
00
00
01
10
10
00
00
10
10
11
01
00
00
10
10
11
00
00
10
01
10
10
00
00
11
10
00
00
11
11
11
00
10
10
00
00
10
01
00
11
11
10
01
01
01
01
10
10
01
10
11
11
00
11
00
00
10
01
01
10
11
00
11
00
00
11
11
10
01
01
10
10
01
00
01
11
01
01
01
01
11
10
01
10
00
00
10
10
11
00
11
00
10
10
00
10
00
11
11
10
00
00
10
00
01
10
01
00
10
00
00
10
01
00
11
00
01
10
01
00
11
01
00
10
10
10
00
10
10
10
00
00
10
01
10
10
10
00
10
01
10
00
10
00
11
10
01
11
10
01
10
00
00
00
00
10
10
00
00
10
11
10
10
10
11
00
00
10
01
00
00
11
10
00
00
00
10
10
11
00
11
00
11
10
10
00
01
11
11
10
00
00
00
00
01
10
10
10
01
01
01
10
01
11
10
00
10
10
00
00
10
01
00
11
10
00
10
00
00
10
10
01
00
10
10
10
10
00
10
00
00
10
10
10
00
10
11
10
00
01
00
00
10
10
01
10
00
10
10
00
10
10
00
10
00
10
00
00
00
00
11
11
00
11
11
11
11
11
10
11
00
01
00
00
10
10
00
01
11
10
11
00
10
10
01
01
11
11
00
00
01
00
11
00
01
11
10
11
00
10
10
00
01
10
00
01
01
01
01
00
10
10
10
11
01
10
00
00
00
10
11
00
00
10
10
01
00
01
00
10
00
11
11
11
11
00
10
11
10
01
00
10
10
10
00
10
10
00
00
10
10
00
10
00
11
11
00
01
10
00
10
10
11
10
00
10
01
10
10
01
00
00
00
00
11
01
10
00
10
10
10
00
00
11
10
10
10
10
00
10
00
01
11
10
00
00
10
01
00
10
10
01
00
10
00
01
00
01
01
10
01
00
11
01
00
10
00
01
10
10
00
01
10
00
01
10
01
00
00
00
10
00
10
11
00
00
10
10
01
10
10
00
10
10
10
10
00
11
11
10
01
11
00
01
10
00
01
10
10
10
01
00
10
10
00
10
10
10
00
11
11
11
01
01
01
10
11
00
00
10
10
11
00
10
11
00
01
00
01
00
00
00
10
11
00
10
01
10
00
11
00
00
00
00
11
10
00
10
10
10
10
10
01
00
11
00
00
10
00
00
00
00
10
11
00
11
10
00
01
00
01
10
11
00
01
00
10
10
00
10
11
00
00
10
10
10
10
00
11
10
11
11
01
00
00
11
00
01
00
00
10
11
10
10
10
01
00
10
01
00
10
01
11
10
00
10
10
10
01
01
00
00
01
10
10
10
00
01
10
01
10
00
00
10
00
10
10
00
10
01
10
00
01
10
00
00
00
10
01
10
11
11
10
10
00
10
11
01
01
01
01
10
00
10
10
11
01
00
10
00
00
11
11
10
10
00
00
10
00
00
00
10
00
00
11
11
01
00
11
10
00
00
11
10
00
00
11
10
11
00
10
00
00
10
10
11
01
00
10
00
01
11
00
11
10
00
10
01
11
10
01
00
00
10
11
10
11
11
01
10
10
01
01
10
00
00
10
00
11
11
00
10
11
01
01
00
00
01
01
10
10
10
00
10
00
00
11
10
00
00
00
00
00
10
11
11
00
10
01
10
00
11
10
01
10
11
00
10
11
10
10
10
11
01
00
10
00
00
00
00
11
11
01
00
10
00
00
10
11
00
11
00
01
01
11
10
01
00
11
00
01
11
10
11
00
00
11
00
01
00
10
10
10
00
00
10
01
11
11
01
01
10
11
00
10
01
10
10
01
01
00
10
10
11
00
01
10
01
10
11
10
10
10
00
00
10
01
11
10
11
01
10
11
00
01
10
00
01
11
10
01
10
00
00
10
10
10
10
01
00
00
00
00
00
10
10
01
00
11
00
00
10
00
10
00
10
01
10
00
10
11
10
10
11
01
10
11
10
00
00
00
00
10
10
01
00
10
00
00
10
00
11
11
10
00
00
11
01
10
10
01
01
10
00
10
01
00
01
01
11
11
00
00
10
00
10
01
10
11
00
00
00
00
00
00
10
10
01
10
10
00
00
00
11
10
00
00
01
10
10
10
00
10
10
10
11
00
00
10
01
00
00
01
10
10
10
10
01
10
10
01
00
01
01
10
10
11
01
01
00
11
01
00
11
00
10
00
10
10
00
01
00
01
10
11
10
00
10
01
00
10
00
01
01
10
11
00
11
11
00
10
10
10
00
00
10
00
11
00
00
01
10
10
01
00
11
01
11
10
10
00
01
11
10
00
00
01
11
00
10
11
01
00
10
00
11
10
01
11
00
01
10
00
00
10
10
01
11
10
00
00
00
00
00
11
11
00
10
01
10
10
01
10
01
00
10
11
11
00
10
11
00
00
11
10
01
00
10
10
10
01
10
11
00
00
00
01
10
10
10
10
01
01
10
01
11
11
10
10
10
01
11
10
00
00
10
00
00
10
00
00
10
11
10
11
10
00
00
11
00
00
01
10
10
01
01
01
00
00
11
11
00
00
11
10
01
00
10
10
00
00
00
11
10
00
10
10
01
11
10
01
10
00
10
00
00
00
00
11
01
01
01
00
00
10
11
00
00
11
10
01
00
00
00
10
00
00
10
11
10
00
11
10
00
00
01
00
11
00
11
00
10
11
00
10
00
00
11
00
10
00
10
00
01
00
00
10
10
10
10
00
10
00
10
01
10
01
10
00
00
00
00
11
10
01
01
00
10
01
10
10
01
10
10
10
00
00
00
10
01
00
11
10
00
10
00
00
10
10
00
11
10
10
10
01
10
00
10
10
01
00
11
00
10
11
10
01
10
00
00
11
10
10
00
00
11
10
10
11
01
10
00
10
01
10
10
10
11
00
00
11
10
00
00
00
00
10
11
01
01
10
10
00
11
11
10
10
00
00
00
10
11
01
00
10
11
10
00
01
10
10
11
00
00
10
10
10
10
01
00
00
10
10
10
00
01
11
00
10
01
01
10
10
10
00
00
10
11
00
10
00
01
10
11
10
00
00
11
10
00
00
11
01
11
00
00
10
11
01
10
10
00
10
10
11
00
00
10
10
10
00
00
01
10
11
00
10
10
10
01
00
11
10
10
00
00
10
01
10
10
11
10
10
10
01
00
00
10
10
00
11
01
10
00
10
00
11
00
00
11
11
10
00
01
00
00
00
10
11
01
10
11
10
01
00
00
00
00
01
10
00
10
10
11
00
10
01
00
00
00
00
10
00
00
10
11
10
11
01
00
11
00
01
10
10
00
00
11
10
10
00
00
10
00
00
10
11
00
01
00
11
01
00
00
10
00
00
10
01
11
10
01
11
01
11
01
01
10
01
10
01
00
01
10
10
10
01
00
00
11
01
00
11
10
01
00
10
00
10
00
01
01
10
00
10
10
10
01
10
10
10
00
00
10
01
00
01
11
11
00
11
00
10
00
01
10
10
00
00
01
10
10
10
11
10
01
01
10
10
00
11
01
10
11
00
01
11
10
01
00
00
00
00
10
10
11
00
11
00
10
00
10
00
00
00
11
10
00
00
10
11
00
00
00
00
01
10
01
00
10
01
10
10
01
10
11
10
00
10
11
10
00
00
00
00
10
10
01
10
11
10
00
10
00
00
10
00
00
01
00
10
01
00
01
10
00
11
00
01
10
01
01
00
10
00
11
10
00
10
11
00
11
11
00
00
10
00
00
01
10
10
01
00
00
10
10
00
01
10
10
01
00
11
01
01
10
01
00
11
00
00
11
10
00
11
10
00
01
11
10
10
10
00
10
01
00
10
10
00
10
00
00
01
01
00
10
10
10
01
00
01
10
10
00
00
10
10
11
10
00
10
11
10
11
00
10
00
01
00
11
00
01
01
00
01
00
10
00
11
10
11
11
00
00
10
00
00
00
10
10
10
00
01
10
00
10
11
00
01
01
11
10
01
01
10
11
11
01
11
00
00
10
10
00
01
10
10
00
00
10
01
00
00
10
11
00
01
00
11
10
10
01
00
11
10
01
00
10
10
10
11
00
10
10
10
11
01
10
10
01
00
01
11
11
00
00
00
11
00
01
10
11
00
00
01
10
11
00
01
10
00
00
01
10
00
00
10
10
00
10
10
11
00
00
10
10
11
11
00
00
10
10
10
11
01
10
00
00
00
00
01
01
00
11
01
00
01
00
00
11
10
11
11
00
11
00
01
10
10
00
01
00
01
10
10
10
00
00
11
01
00
01
00
10
00
00
11
01
01
10
00
00
10
10
10
01
01
10
01
00
10
00
00
10
10
10
11
00
11
00
00
01
10
10
10
10
00
10
10
10
10
10
11
01
10
11
00
01
11
01
01
11
11
01
00
11
11
01
00
00
10
10
00
00
00
10
00
00
10
11
10
10
00
01
10
00
00
00
01
11
10
10
00
10
01
00
10
10
10
11
00
01
00
00
10
10
01
10
01
11
10
10
10
10
01
01
10
01
00
11
10
11
00
11
10
00
10
10
11
01
00
01
10
00
11
10
10
00
00
11
11
00
01
10
00
01
11
00
01
11
11
10
11
10
00
00
11
10
00
01
00
01
10
10
10
01
11
00
01
10
10
10
00
01
10
11
01
00
11
00
01
11
10
00
00
10
10
10
00
00
00
11
00
11
10
10
01
11
00
00
11
00
10
11
10
11
10
10
00
00
10
00
01
11
10
10
10
00
11
11
11
00
00
01
11
10
00
10
10
00
00
00
10
00
10
01
10
01
01
00
11
00
11
00
00
11
00
01
11
00
00
00
11
10
00
10
11
10
01
00
00
00
10
00
10
10
11
00
11
10
00
10
10
00
00
10
00
00
01
10
11
10
11
10
10
10
10
00
00
10
11
00
01
10
00
00
00
10
00
01
10
10
10
00
10
00
00
11
10
00
01
00
01
10
00
10
00
01
10
11
00
01
11
00
00
10
10
01
00
11
01
01
10
10
10
01
00
10
11
00
10
10
00
01
10
11
00
10
00
00
10
00
01
10
00
11
01
11
00
10
10
10
00
01
01
10
00
10
00
10
11
10
10
00
01
10
11
00
00
10
11
10
00
00
10
11
10
00
10
00
11
11
01
01
10
00
11
00
01
10
10
01
10
00
01
00
10
10
01
00
00
10
10
11
00
10
10
00
00
10
00
10
11
10
01
10
10
10
11
01
10
01
11
10
10
10
10
10
00
00
10
11
01
00
11
10
10
10
10
11
10
10
00
00
00
01
10
00
00
11
10
10
10
01
10
10
01
00
10
10
01
00
11
10
00
00
00
00
00
01
10
01
00
10
11
10
01
10
00
00
01
10
10
11
00
00
00
00
11
11
00
00
11
10
00
01
11
01
00
10
00
01
01
10
10
00
10
00
10
10
10
11
01
01
10
00
00
00
01
00
00
10
10
11
01
00
10
00
00
01
00
11
00
01
10
10
10
11
11
01
10
10
10
10
10
01
01
00
00
00
01
00
00
10
10
10
10
10
00
11
01
10
11
01
01
00
00
10
10
00
00
11
11
10
01
01
10
01
10
11
00
00
10
11
00
00
10
10
11
10
00
00
00
00
10
10
00
00
11
00
10
00
00
10
00
01
10
11
01
10
10
00
10
00
11
01
11
11
00
00
10
10
00
11
10
00
00
00
00
00
11
11
11
01
00
11
11
11
01
01
11
00
10
10
01
01
01
10
00
00
10
00
01
01
10
10
00
00
00
10
10
11
00
00
01
10
10
00
00
10
11
01
10
01
01
00
10
00
00
10
10
11
01
00
00
00
00
10
10
01
11
01
10
10
10
10
10
00
10
10
00
00
10
10
10
00
01
10
01
01
11
10
10
00
00
10
01
10
00
10
10
10
01
11
00
10
00
00
00
01
10
10
10
01
00
00
01
10
01
00
10
00
00
10
10
10
00
00
10
11
10
00
10
11
00
00
11
10
10
00
00
11
11
01
11
01
11
11
01
10
01
10
10
00
00
10
10
10
10
00
00
00
10
10
01
10
00
10
11
00
00
10
00
11
00
11
10
00
10
10
10
00
01
11
10
10
00
00
00
10
01
00
00
11
11
00
10
11
00
11
00
10
00
10
10
10
00
10
01
01
01
01
10
00
00
10
10
00
00
00
00
11
11
01
01
00
00
10
01
01
00
10
10
10
10
00
01
00
11
11
10
11
10
01
00
11
10
01
11
10
01
01
11
10
10
00
00
01
01
10
11
10
00
00
10
00
11
10
00
01
11
11
11
11
00
00
01
00
11
00
01
10
00
00
11
10
10
10
00
01
00
01
00
01
11
00
00
00
10
10
01
00
11
11
00
11
10
00
10
10
00
00
10
11
00
00
10
00
00
11
00
11
01
00
00
10
00
00
00
10
11
00
00
10
00
11
10
10
11
10
10
11
01
00
00
00
10
00
00
10
00
00
10
00
01
01
01
10
10
11
10
11
11
00
01
00
10
10
10
11
00
00
11
01
10
01
10
01
11
00
01
10
11
01
00
10
10
00
00
01
10
10
00
00
10
10
01
10
10
01
00
10
00
10
11
10
10
00
01
10
00
00
10
00
00
10
00
11
00
10
00
00
01
01
01
10
00
00
01
00
11
10
01
01
11
00
00
00
10
00
01
11
11
00
00
10
00
00
10
11
11
01
10
00
01
10
11
10
11
00
01
11
11
00
10
11
00
10
10
00
01
10
01
11
10
00
10
00
10
10
01
01
11
10
10
11
11
10
01
10
10
00
00
01
10
00
00
01
00
10
10
00
11
10
11
10
00
01
00
10
10
00
00
11
00
00
11
00
01
00
10
10
10
00
00
00
11
10
00
11
00
11
10
10
00
10
01
01
00
10
01
01
00
10
01
11
10
01
00
11
10
11
01
01
11
10
10
11
11
00
00
10
10
10
01
11
00
01
10
00
11
10
00
10
10
00
11
00
00
11
10
10
10
11
01
11
10
01
10
00
00
00
11
11
10
11
00
00
01
10
10
00
10
11
00
11
00
10
10
10
00
11
10
00
00
01
10
10
00
11
00
01
10
10
10
10
11
01
10
10
00
00
00
01
10
00
00
10
10
00
01
00
11
00
00
10
01
00
11
00
11
00
01
11
01
01
10
10
00
00
00
10
10
10
10
00
11
10
11
00
00
01
01
00
10
00
10
10
01
10
00
11
11
01
10
00
00
10
10
10
11
00
00
11
00
00
10
11
10
10
11
11
01
00
10
11
11
00
10
11
01
11
01
10
00
01
00
00
10
10
10
01
10
00
10
01
01
10
00
10
11
10
10
11
11
11
00
01
11
00
10
00
00
11
10
00
00
10
10
11
00
10
11
00
11
00
11
01
00
11
10
00
00
10
10
00
11
00
10
10
01
11
10
11
00
10
10
00
10
11
01
11
10
10
10
10
00
00
10
10
10
11
11
00
10
11
00
10
00
00
11
10
01
11
00
00
11
10
00
00
11
00
00
00
11
10
00
11
01
01
10
01
10
01
00
10
00
00
00
10
00
00
00
00
10
11
11
01
11
01
00
10
00
00
11
10
10
00
01
11
01
10
10
11
11
10
10
00
01
00
10
01
00
10
01
10
11
00
10
10
10
00
00
10
10
10
00
00
00
10
11
00
00
11
10
11
11
01
00
01
10
10
00
10
11
00
11
00
01
11
10
11
10
10
00
00
10
10
00
01
01
10
11
11
11
00
00
01
00
00
00
10
11
00
10
00
10
10
10
11
11
00
00
01
00
10
10
00
01
11
11
11
01
00
10
00
01
01
11
11
00
00
10
01
10
00
01
01
00
00
00
10
10
00
11
00
00
00
10
00
10
00
01
11
00
10
00
00
00
00
11
10
01
11
00
11
10
00
00
10
10
00
01
11
10
11
00
00
11
01
00
10
11
01
01
00
10
10
10
00
00
10
10
00
01
01
10
10
00
01
10
10
00
00
01
11
10
11
11
01
00
10
01
10
00
00
11
10
00
00
00
00
10
00
10
00
10
00
00
00
10
10
01
00
10
10
11
00
10
10
10
00
00
11
00
01
01
10
01
00
10
10
10
00
10
11
01
00
10
10
00
10
00
00
11
11
00
01
10
10
11
10
01
00
01
10
11
00
00
01
11
00
01
01
10
00
00
10
11
10
00
11
11
00
00
01
00
10
10
10
10
00
10
11
01
01
10
11
00
01
00
10
11
00
00
01
11
00
01
11
00
11
00
00
00
01
10
10
10
00
11
00
00
10
10
00
10
11
00
01
00
00
10
01
01
11
00
00
10
00
10
10
00
10
11
00
11
10
00
01
10
00
01
10
11
00
00
00
11
11
01
11
00
10
00
01
10
10
10
00
10
00
00
11
10
00
10
00
01
11
01
01
00
01
01
10
10
10
00
00
10
00
11
00
01
00
11
10
01
00
10
11
00
00
11
01
01
01
11
01
10
11
00
10
11
01
00
10
11
01
01
00
01
10
01
01
01
11
10
01
10
10
11
10
01
00
01
10
10
10
10
10
10
01
01
11
01
10
01
00
11
00
01
11
00
10
10
00
10
01
01
10
10
01
00
10
10
10
11
10
00
00
00
00
11
10
00
01
11
10
00
10
10
10
01
00
00
10
10
10
10
00
10
01
11
11
10
11
10
10
00
10
10
00
01
00
11
10
00
10
11
00
00
11
10
01
10
10
01
00
10
10
00
00
00
00
10
01
10
11
11
10
01
10
10
11
00
01
00
01
11
01
10
10
10
00
01
10
10
00
11
10
10
00
01
00
10
00
10
10
10
10
00
01
10
10
00
01
11
00
10
10
00
00
10
00
10
00
10
00
01
00
11
11
11
11
01
11
11
00
00
00
10
10
00
00
10
10
00
00
00
10
00
00
01
10
10
01
00
10
11
01
00
01
10
01
00
10
10
10
10
11
10
01
01
10
11
00
01
01
11
10
01
10
10
10
10
00
01
11
00
01
11
11
10
00
11
00
00
10
00
10
10
10
00
10
10
00
11
10
01
00
00
00
00
10
10
01
01
01
10
01
00
00
11
10
01
10
00
01
00
10
11
11
10
11
11
00
00
00
00
01
10
10
10
01
11
01
11
10
01
01
10
11
10
00
00
10
00
00
10
10
00
00
10
10
10
00
10
01
00
10
10
11
10
10
11
01
00
10
10
00
01
10
10
11
01
11
00
10
10
00
01
01
10
10
01
00
10
10
10
00
00
01
01
11
11
01
00
00
00
01
01
10
11
01
10
01
00
10
10
01
10
10
00
01
00
01
10
10
01
11
11
01
00
10
10
10
00
01
11
00
10
10
01
00
10
10
10
00
00
01
00
00
10
10
00
01
10
00
10
00
10
01
10
11
00
10
10
10
00
00
01
10
10
11
01
00
00
00
10
10
00
00
10
00
00
11
10
00
00
01
10
11
01
00
10
10
01
11
01
00
10
00
11
00
11
10
00
00
10
11
00
10
11
10
01
00
10
10
00
11
10
00
11
11
10
01
01
10
11
00
00
10
11
10
11
00
00
01
00
11
00
00
10
10
01
00
00
10
00
00
11
00
00
00
01
00
01
00
10
10
01
00
10
10
00
00
10
00
01
11
00
10
10
11
01
10
10
00
01
10
01
10
00
10
11
10
01
00
11
00
00
10
11
00
00
10
00
01
10
01
00
00
11
00
11
10
11
00
01
10
11
00
00
00
10
00
01
00
11
10
00
00
11
11
00
10
10
11
10
01
00
01
00
00
01
10
10
10
11
00
00
01
01
00
10
00
10
10
11
00
00
11
11
00
00
11
00
11
01
00
11
10
00
00
00
10
00
10
10
10
11
01
01
11
10
00
10
11
00
01
11
10
00
11
10
00
10
11
10
01
11
00
10
00
10
10
00
00
00
11
01
01
10
11
01
11
01
10
10
00
11
01
10
11
01
10
11
00
00
10
10
00
01
00
11
00
11
11
10
10
00
10
11
10
01
11
01
10
00
00
10
00
00
01
11
11
01
00
00
01
11
10
11
11
01
00
10
01
10
01
00
10
11
11
01
10
10
00
00
10
01
00
11
10
10
00
10
11
01
01
10
10
00
00
11
11
00
00
00
00
01
00
10
10
00
00
11
10
10
10
11
01
10
00
11
00
01
00
00
10
10
00
10
10
01
00
11
10
01
11
00
10
01
10
10
10
00
00
10
00
10
00
10
00
10
11
10
10
10
10
11
00
01
00
10
10
11
10
11
00
00
10
10
01
10
11
00
00
00
10
11
10
10
00
11
10
00
10
11
10
11
01
01
01
10
01
10
01
01
00
00
11
10
00
10
11
01
01
00
11
10
10
01
00
11
10
00
00
00
10
11
01
01
01
10
00
10
11
00
11
10
01
10
10
11
00
10
10
10
00
01
10
10
10
01
00
10
00
00
10
10
00
00
10
00
10
10
00
00
10
00
10
11
00
00
01
00
10
10
10
00
01
01
00
10
11
10
11
10
00
10
11
11
10
01
01
11
00
10
10
10
00
10
01
00
00
10
01
00
00
10
10
01
00
01
10
00
00
10
10
00
00
00
10
11
10
10
10
00
00
10
10
01
11
11
11
10
11
10
10
01
00
10
10
10
00
00
10
00
01
01
11
01
10
10
11
00
11
10
01
00
00
01
01
10
10
00
01
01
00
11
00
11
10
10
10
01
00
10
01
00
00
10
00
10
10
00
10
10
10
10
11
10
00
00
10
00
10
10
00
00
00
10
00
00
00
01
11
10
01
10
00
00
00
00
10
10
00
00
00
00
10
11
00
00
10
01
00
11
00
00
00
10
00
11
11
01
10
01
00
11
00
01
10
01
10
11
10
01
00
00
00
10
11
00
10
11
00
00
10
00
11
01
10
11
00
10
10
11
01
00
11
10
01
01
11
11
01
11
10
01
00
00
11
11
01
00
01
10
01
11
01
10
11
11
01
10
11
10
00
10
11
00
00
11
00
00
11
10
11
11
01
00
10
11
10
00
00
00
10
10
00
11
11
00
10
11
11
00
10
10
00
00
10
10
00
00
01
01
01
00
01
10
10
00
11
10
00
00
10
11
00
11
10
00
00
00
01
10
10
00
01
10
11
01
01
00
11
00
11
00
11
00
00
11
10
00
00
10
00
00
11
00
10
01
10
00
11
10
01
00
10
10
11
10
01
10
10
00
00
00
10
01
00
01
10
11
00
01
00
11
10
11
10
00
11
11
01
01
00
10
10
10
00
00
11
10
00
00
00
00
00
10
10
01
00
10
01
00
01
01
00
11
01
01
00
11
10
00
01
10
11
10
10
00
10
10
00
00
11
10
11
00
10
11
00
10
01
10
10
11
00
00
01
00
01
01
10
10
10
00
00
11
11
00
10
10
10
11
10
01
11
11
00
10
00
00
00
01
10
10
10
11
00
01
11
01
00
11
01
01
01
11
11
00
10
10
00
00
10
10
01
00
01
01
10
10
01
01
01
10
10
10
01
00
00
10
10
10
01
00
00
00
00
00
10
10
00
00
10
10
00
00
00
00
10
10
01
11
10
00
00
11
11
10
10
00
10
00
10
10
01
00
10
00
10
10
01
00
11
10
01
00
10
01
11
00
01
11
10
10
01
10
10
01
01
00
10
00
10
11
10
10
01
10
11
00
00
10
00
01
10
11
01
10
11
00
01
00
00
11
00
01
00
11
11
10
11
10
00
10
00
01
01
01
10
10
01
00
11
00
10
11
10
10
01
10
11
00
11
10
11
00
00
10
10
10
10
01
01
11
10
00
01
10
10
01
00
01
00
01
11
00
01
10
00
00
11
10
10
11
00
00
00
11
10
10
10
00
00
00
11
10
00
00
11
00
00
10
10
00
01
00
01
10
01
00
11
00
11
00
11
10
00
01
00
00
10
01
01
10
00
11
00
01
10
01
10
10
00
01
11
11
00
10
10
00
00
00
00
11
00
11
10
01
01
10
01
00
11
00
10
11
10
10
00
01
10
01
00
11
01
10
10
00
10
10
10
00
00
10
10
11
10
10
00
11
11
00
10
01
00
10
00
01
10
10
10
10
10
01
10
10
10
00
01
00
11
00
11
01
10
10
00
11
11
00
01
10
10
01
11
00
00
10
11
10
11
00
00
00
10
10
00
10
10
10
01
10
01
01
11
10
00
00
10
10
11
00
00
11
00
11
11
00
00
00
00
00
01
11
01
00
00
00
11
10
10
10
00
01
10
10
01
01
11
10
01
10
10
10
10
00
01
10
10
11
00
01
10
00
00
11
10
11
00
00
00
11
10
11
00
10
10
01
00
10
00
10
10
10
00
01
10
00
11
10
00
00
00
01
11
01
00
10
11
00
00
10
10
10
01
10
01
01
11
11
01
10
10
00
00
00
11
11
00
10
00
10
00
11
00
00
10
01
10
11
00
00
11
00
10
10
00
00
10
11
00
10
10
00
00
10
00
10
00
01
10
11
11
00
00
11
10
00
00
11
10
11
01
00
00
10
01
10
10
00
00
11
00
10
00
11
11
10
01
01
00
01
00
10
11
00
00
11
00
00
11
01
00
00
00
00
10
11
00
10
11
10
10
00
10
10
11
10
10
00
10
00
01
00
10
01
10
01
10
00
10
11
10
10
00
10
10
01
01
00
01
00
10
00
10
10
11
00
00
11
00
10
01
10
10
00
10
10
11
10
01
00
10
10
11
00
11
00
01
01
10
00
01
00
10
01
00
11
10
00
00
00
11
11
10
00
11
10
10
00
01
00
10
01
01
00
00
00
10
00
00
11
10
00
00
10
11
01
00
00
01
11
10
00
11
10
00
10
00
10
01
01
00
11
00
01
10
00
00
11
10
00
10
00
10
11
10
00
11
10
11
10
00
01
10
11
00
10
10
00
01
01
10
11
11
00
00
00
10
11
10
00
00
10
00
11
00
10
10
10
10
01
10
10
01
00
01
10
00
10
00
00
10
00
10
00
10
00
10
00
11
00
00
10
10
00
00
11
00
10
10
11
00
01
00
10
01
01
00
01
10
10
10
10
11
10
10
01
01
01
01
11
11
11
11
11
01
00
01
10
10
01
01
10
11
01
00
10
10
01
00
11
11
00
00
00
01
00
01
10
01
00
11
00
01
11
11
11
00
11
00
00
11
11
00
01
10
11
10
01
11
01
00
00
00
10
10
01
00
10
11
10
11
10
00
10
11
11
11
00
10
11
00
00
00
00
10
00
11
01
10
10
00
10
10
00
00
11
00
01
00
01
00
10
10
00
11
10
11
00
01
01
10
00
11
10
00
11
10
00
10
10
01
11
10
10
10
10
00
00
00
10
10
00
10
00
11
10
00
10
01
11
10
01
10
11
10
00
01
01
11
01
00
00
00
10
00
10
11
01
11
10
10
00
10
10
00
00
10
10
11
00
00
00
10
01
10
00
10
00
00
00
00
11
10
01
00
01
00
01
00
00
00
10
00
01
00
11
10
10
00
11
00
10
11
11
01
01
10
00
00
00
11
10
01
00
00
11
01
11
01
11
00
11
10
01
00
11
10
00
01
11
10
00
10
10
10
00
01
10
00
10
11
00
00
00
10
10
00
10
00
10
10
10
10
11
10
01
00
10
11
10
10
01
00
10
00
00
11
00
01
10
00
01
10
10
00
00
11
10
10
01
00
10
00
00
10
01
01
00
00
10
10
10
00
10
11
00
01
10
10
00
00
01
01
10
10
10
10
00
11
10
11
00
00
00
00
11
01
11
10
00
11
10
10
00
00
10
10
00
01
00
01
01
11
10
00
00
10
00
00
10
10
10
00
01
10
00
10
01
10
11
10
10
10
00
10
01
00
10
10
01
00
00
00
11
00
11
10
10
11
10
10
00
00
11
01
10
10
10
11
00
00
10
00
11
00
00
11
11
11
00
00
10
10
01
01
00
10
10
00
00
10
00
10
00
01
00
00
01
10
10
10
01
00
11
00
00
01
10
01
00
10
00
10
11
00
00
10
00
10
10
00
10
00
11
00
01
00
11
00
11
10
11
10
00
10
01
11
00
00
10
10
00
00
10
00
10
01
00
10
10
10
01
11
10
01
00
10
00
01
10
10
10
00
10
10
11
01
10
10
11
00
00
00
10
11
10
11
11
10
00
01
10
10
00
00
01
10
01
10
01
01
01
00
00
11
11
10
10
00
00
01
11
01
01
11
10
11
00
01
10
10
01
10
01
11
01
00
00
11
01
10
10
00
10
00
01
10
00
10
00
00
10
01
11
10
10
00
01
00
10
01
01
11
10
10
01
11
00
10
10
00
01
10
01
11
00
11
10
11
00
00
10
00
01
11
00
01
10
11
11
00
10
00
01
10
01
00
10
10
00
11
00
01
11
10
10
10
00
01
10
10
00
11
00
00
01
11
00
11
00
00
00
00
00
01
00
10
10
00
10
00
11
11
00
10
00
00
10
10
10
01
10
11
00
00
11
00
01
10
10
00
00
10
10
01
00
01
00
11
10
10
00
00
00
00
10
10
10
11
00
01
10
00
01
10
10
10
00
00
10
10
10
00
00
11
00
01
01
11
01
10
00
11
10
10
00
00
10
10
01
00
00
10
10
10
01
10
01
10
00
10
10
01
10
11
00
00
10
00
01
01
00
10
00
10
00
10
00
01
10
11
10
00
00
10
10
10
11
00
00
11
10
11
00
10
10
00
10
00
10
11
10
00
01
10
10
10
00
10
01
11
10
10
00
10
01
00
00
00
00
11
10
10
11
10
00
01
11
10
01
11
00
10
00
00
00
00
10
11
00
10
00
00
11
00
00
10
01
11
00
00
10
10
00
10
00
00
11
10
10
00
00
00
10
11
00
10
00
10
00
01
00
00
10
00
00
00
11
10
00
01
01
10
01
01
11
01
10
11
01
11
10
10
00
00
10
11
00
10
00
00
11
11
10
00
01
10
00
10
10
10
11
10
00
11
11
11
01
01
00
00
00
10
10
00
00
10
00
00
11
00
01
10
01
11
01
10
00
10
10
11
10
00
01
10
11
00
10
10
11
10
01
01
00
00
10
00
01
10
11
00
11
01
11
10
11
00
00
11
01
11
11
01
01
10
10
11
00
00
11
00
00
11
10
01
00
11
10
11
01
11
01
00
01
11
11
11
10
10
01
11
10
00
00
00
10
11
01
10
10
01
10
11
00
01
11
11
11
11
00
01
10
11
00
00
10
10
00
01
00
00
10
10
11
10
11
00
10
10
10
10
10
01
01
11
10
01
00
00
11
10
00
10
11
10
11
00
01
00
10
10
11
00
11
10
01
10
00
01
10
00
01
01
00
10
00
11
00
00
10
10
00
00
11
01
11
10
10
10
00
01
10
01
00
11
10
10
00
11
01
00
10
11
11
10
10
11
00
00
00
01
10
11
01
11
00
10
11
10
10
00
11
11
10
00
00
00
10
10
01
11
10
01
01
01
10
01
01
10
10
10
01
00
10
11
11
01
10
01
10
11
00
00
00
10
10
00
10
01
11
00
00
11
11
10
00
11
01
00
10
01
11
11
11
00
00
10
10
01
00
10
10
01
00
00
00
10
00
01
01
11
10
01
00
00
01
10
10
00
10
10
11
00
00
10
01
10
00
00
10
00
11
00
10
01
10
00
01
10
10
10
00
00
00
10
10
01
10
00
01
10
10
00
00
00
10
10
01
00
01
00
10
11
00
10
01
00
10
00
10
10
10
00
10
00
10
10
00
10
10
10
01
01
10
11
00
10
00
10
00
01
11
10
01
00
10
00
00
10
10
01
00
10
10
00
00
10
00
11
11
11
00
11
00
10
10
00
01
10
01
01
00
11
10
00
01
10
11
00
01
10
10
10
00
11
00
11
11
00
00
10
11
10
10
00
11
00
00
00
10
10
00
00
10
00
00
10
00
11
00
10
10
11
00
00
10
10
01
10
00
11
11
00
00
10
10
11
10
11
10
00
10
00
00
01
11
11
11
10
00
10
10
00
10
11
10
00
11
00
10
10
00
00
01
01
10
11
00
00
10
10
10
10
11
00
01
11
10
01
10
00
00
00
00
10
00
01
10
00
00
10
10
00
01
00
10
00
00
00
01
10
00
10
10
00
00
11
01
11
10
10
00
10
10
00
01
10
00
01
01
10
10
01
01
01
10
10
00
10
01
01
10
10
00
10
11
00
01
11
01
11
00
01
10
00
00
00
00
11
00
00
10
10
10
00
00
10
00
00
00
10
00
01
00
10
11
00
00
00
10
10
00
00
00
10
10
01
00
10
01
10
00
00
00
10
00
01
10
11
10
11
00
10
00
11
10
00
00
01
11
10
01
00
01
00
10
11
00
11
10
11
00
10
01
00
11
11
00
11
00
00
11
01
10
10
10
10
10
00
00
11
10
01
11
10
11
01
10
00
11
11
10
10
00
01
10
01
10
10
00
00
10
10
01
00
01
10
00
01
00
10
00
10
00
01
11
00
01
10
10
00
01
10
11
00
00
00
01
11
10
01
00
00
10
10
11
00
10
10
00
00
01
11
00
10
00
10
10
10
10
00
10
10
00
10
10
00
00
10
11
00
00
11
00
10
10
11
00
10
10
00
10
11
01
01
00
00
11
00
00
10
11
00
00
00
01
00
11
10
10
00
11
10
00
10
10
10
10
00
00
00
00
00
01
00
00
10
10
11
10
10
10
01
11
10
01
01
01
10
00
01
10
11
01
01
10
11
00
00
01
10
00
01
01
10
10
00
10
00
10
00
11
01
01
11
00
11
01
01
10
10
01
10
11
01
11
00
00
01
10
01
01
11
10
01
01
00
00
10
11
01
11
10
00
00
01
01
10
00
01
00
00
11
11
01
00
00
10
00
00
11
01
01
10
00
11
11
00
10
10
01
10
00
10
10
01
01
00
11
10
01
01
01
01
00
10
00
10
11
00
00
10
10
10
01
01
00
11
10
00
00
10
11
11
11
00
00
10
01
11
11
00
10
00
00
11
00
00
10
11
00
00
01
10
01
10
00
00
11
10
10
00
00
10
01
10
10
00
00
10
11
10
11
01
00
10
00
00
10
10
00
00
00
01
11
01
00
10
11
10
11
10
00
00
10
10
00
00
10
00
10
01
10
01
00
01
10
10
10
00
11
11
10
01
00
10
00
01
00
10
00
01
10
11
01
10
10
00
01
10
11
01
10
11
00
11
11
00
00
00
10
10
11
00
00
10
00
00
00
11
10
00
00
10
00
00
00
01
10
00
00
00
10
10
10
10
10
10
11
01
00
10
11
00
11
00
00
10
10
00
00
10
10
00
11
10
00
10
00
10
10
00
10
10
11
11
10
11
00
00
00
10
00
00
11
10
00
10
10
11
00
10
00
00
11
10
00
00
10
11
00
01
10
10
00
00
00
00
11
10
00
00
01
01
11
11
00
10
00
11
00
10
10
00
11
00
01
10
11
00
11
10
10
10
10
00
01
00
11
00
00
10
10
00
00
10
10
01
00
01
10
00
10
01
01
10
10
00
00
11
00
01
00
11
10
10
10
00
11
00
01
10
10
11
01
00
10
01
10
00
00
01
10
01
00
11
00
00
01
10
11
00
11
01
11
11
00
10
11
00
01
00
11
11
10
11
11
11
00
00
10
11
11
00
10
10
00
00
00
00
00
01
10
10
00
00
10
10
11
10
00
01
00
11
10
10
00
10
01
10
01
10
10
10
01
11
10
10
01
01
10
00
01
00
00
10
11
11
10
11
01
00
10
10
00
10
01
00
10
01
01
00
11
00
10
10
10
10
00
01
10
01
11
00
11
01
00
00
00
10
10
10
01
11
10
10
11
01
11
10
01
10
11
10
01
00
00
01
11
01
00
10
10
11
10
00
00
00
11
11
10
10
00
10
10
00
00
10
11
01
10
10
01
00
00
00
10
01
01
10
10
00
10
10
11
00
10
10
01
00
00
10
01
01
11
00
11
00
01
00
10
11
10
10
00
01
10
11
00
10
00
01
01
10
00
01
11
11
01
00
00
11
10
00
01
11
10
10
00
10
00
01
00
00
11
00
00
10
10
10
10
10
00
10
10
10
10
10
01
00
11
01
00
00
01
00
10
10
01
10
10
00
01
00
10
00
11
01
01
00
10
00
01
11
01
00
10
00
00
10
00
00
10
10
10
10
00
01
00
00
10
10
10
10
10
10
00
10
00
01
01
00
11
00
00
11
00
10
11
01
10
11
01
00
01
00
10
11
10
00
00
00
01
00
01
10
11
01
10
11
10
00
00
11
10
11
00
01
10
10
00
00
11
11
00
01
11
10
10
10
01
00
00
10
11
01
11
01
11
01
00
00
11
10
10
00
00
10
11
01
00
10
11
10
10
10
10
01
00
01
10
01
11
00
00
10
10
00
11
11
01
10
10
01
01
10
10
10
10
10
00
00
00
00
11
01
11
11
00
00
10
10
00
00
10
11
10
00
00
00
10
11
00
10
01
00
01
00
11
11
01
10
10
00
00
00
00
00
11
10
00
11
10
00
00
10
00
10
00
10
10
10
10
10
10
01
10
00
11
10
01
00
11
10
10
00
11
10
00
00
10
00
00
10
01
00
10
01
01
10
10
01
01
00
11
00
10
11
11
10
00
00
01
00
11
10
11
10
01
00
10
10
01
00
11
00
01
01
11
01
00
11
10
00
00
10
10
00
00
11
10
00
11
10
01
01
10
00
11
10
00
00
10
00
10
10
10
10
11
00
10
11
11
01
10
01
01
00
11
10
00
00
11
10
11
10
00
00
10
11
00
00
00
00
11
10
00
10
11
01
00
01
00
10
10
00
10
10
01
01
00
00
00
10
10
10
00
10
00
01
10
00
00
10
00
01
00
10
10
11
00
10
01
01
10
00
11
10
00
01
00
01
11
00
00
00
10
00
11
10
00
10
10
10
00
10
01
10
00
10
00
11
01
10
10
10
10
00
00
11
00
01
01
10
01
00
00
00
01
10
11
00
11
10
00
10
10
10
10
00
00
11
10
10
10
00
11
00
00
00
10
01
10
01
10
11
00
10
00
10
11
10
01
11
11
01
00
00
10
10
01
00
00
10
11
10
00
01
00
11
10
00
11
00
10
00
10
11
00
10
10
10
10
00
00
01
00
11
10
01
00
00
11
11
10
01
10
10
00
00
10
10
01
11
10
01
10
01
10
10
00
00
00
11
00
01
00
11
10
11
01
11
00
11
11
11
00
01
10
00
11
00
10
10
00
11
00
10
01
01
00
10
01
00
00
01
00
10
11
01
00
11
11
11
01
00
00
10
11
10
11
00
00
10
00
01
00
01
10
11
01
01
00
10
00
00
01
10
10
11
01
00
00
11
10
00
00
11
10
10
11
00
00
10
00
10
00
10
11
00
11
10
00
11
10
01
10
10
01
01
10
10
11
00
11
10
11
00
00
10
11
00
10
11
10
00
10
00
00
01
00
10
10
00
11
10
10
00
11
00
11
00
10
10
00
10
00
00
10
00
01
10
10
01
01
10
10
00
10
01
10
01
00
00
01
00
10
10
01
00
00
00
10
10
00
00
01
10
10
10
01
00
00
11
10
10
01
00
00
01
00
10
00
00
11
11
01
10
00
00
00
10
01
10
10
10
11
00
10
01
01
10
01
10
00
00
10
10
10
01
11
00
00
10
00
10
00
01
10
00
01
00
00
10
11
10
10
10
10
10
10
11
11
11
00
01
00
00
10
11
00
00
11
10
00
10
10
00
10
00
01
11
11
10
10
11
01
10
00
10
10
10
10
00
01
11
00
10
00
11
10
01
11
11
01
01
00
10
10
10
11
00
00
01
10
01
10
11
00
11
00
11
11
10
01
10
10
00
00
10
11
11
01
10
10
00
00
11
00
00
11
00
11
10
00
00
01
01
11
11
00
11
10
01
10
10
00
01
11
10
00
11
01
00
10
00
00
00
00
10
11
10
00
01
00
11
01
10
00
11
10
10
00
01
00
10
10
00
00
10
11
10
10
00
00
01
11
10
01
11
01
11
11
10
10
10
00
01
10
00
00
10
11
00
00
11
10
00
10
10
10
10
00
00
11
00
00
01
01
10
10
11
10
10
10
11
10
11
00
00
11
11
10
10
11
01
00
10
01
00
10
10
10
10
10
11
00
00
01
00
00
01
01
00
01
10
11
01
00
10
10
01
11
01
00
01
10
11
00
00
10
11
10
10
01
00
11
10
10
10
00
10
00
00
11
00
00
01
11
01
00
11
01
10
00
10
01
00
11
10
10
11
10
00
10
10
00
11
01
10
10
11
10
00
10
11
00
10
10
10
00
10
10
10
11
00
11
10
01
00
11
00
01
11
00
10
11
11
00
10
10
01
00
00
11
01
00
01
11
11
10
01
10
11
00
00
00
11
10
01
10
00
00
01
10
10
01
11
01
01
00
10
10
00
11
00
01
11
00
10
00
11
11
10
00
10
01
10
00
01
10
11
10
10
00
00
00
11
10
01
11
10
01
10
10
11
00
00
00
10
11
01
10
00
01
11
00
10
11
11
00
00
10
00
00
10
10
00
10
10
00
00
00
00
01
00
00
10
00
10
10
10
00
10
10
00
11
00
10
01
01
11
10
10
10
01
00
11
10
01
10
10
11
11
00
01
10
10
00
00
11
00
00
10
01
10
00
10
00
10
01
00
01
01
01
00
10
10
01
10
10
01
00
10
10
10
01
11
10
11
01
00
11
00
10
11
10
01
11
11
00
00
10
10
00
00
10
10
01
01
11
11
00
00
01
01
10
10
00
01
00
11
00
01
10
10
10
10
11
01
00
10
01
01
00
01
01
10
11
10
10
01
10
00
11
10
00
00
11
01
10
10
10
01
01
10
00
00
11
10
00
11
01
01
11
01
10
00
11
10
00
10
11
00
00
00
10
10
01
01
10
10
11
00
10
00
00
11
10
10
00
01
10
10
11
11
10
00
00
01
10
00
11
11
10
10
11
00
00
00
01
00
11
10
01
10
10
00
11
01
01
10
10
10
01
11
10
01
00
11
10
01
11
11
00
01
00
10
10
00
01
11
10
00
00
01
11
11
00
11
00
01
10
00
11
10
00
00
00
11
01
00
11
10
10
00
00
00
10
11
00
11
11
10
10
11
00
00
10
10
00
01
11
10
00
10
11
10
00
00
10
00
00
11
10
11
00
11
00
01
00
00
00
10
10
01
00
10
00
00
01
11
11
01
00
10
01
10
11
00
10
01
00
11
10
00
10
00
00
10
00
01
10
01
01
00
01
10
10
00
01
10
00
01
11
00
00
10
11
10
00
10
01
00
00
10
11
10
00
01
11
10
11
00
00
10
10
10
00
10
10
10
00
11
00
11
00
11
01
10
10
00
10
10
10
11
00
11
10
01
00
00
10
00
01
10
11
01
10
01
10
01
00
00
10
10
10
00
00
10
01
10
00
01
00
01
10
01
10
00
00
10
00
01
10
10
10
00
00
00
00
01
01
10
10
00
00
10
11
10
11
10
00
11
00
11
10
00
00
10
00
00
00
11
11
00
10
00
00
10
10
10
10
10
10
10
00
00
00
11
00
01
10
00
10
00
00
00
10
10
00
10
00
10
00
00
10
00
00
10
00
00
00
10
11
00
00
10
11
10
10
01
00
10
11
11
00
00
10
10
00
01
00
01
10
10
10
01
10
11
11
00
11
10
01
10
01
01
11
10
01
11
11
01
00
10
10
00
00
01
00
10
10
10
00
10
10
00
11
00
10
01
10
00
00
00
10
10
00
10
10
11
01
00
10
00
01
01
00
10
11
10
00
01
10
10
11
11
10
00
00
01
01
10
10
11
00
10
11
10
11
10
10
00
00
11
10
00
00
10
10
11
01
01
11
01
10
00
00
10
10
10
00
00
10
11
00
10
10
01
00
10
00
00
11
10
10
00
00
10
01
10
10
00
00
10
00
10
10
10
00
11
11
01
11
01
01
01
11
01
00
11
01
10
00
11
10
00
00
10
00
10
10
11
11
10
00
00
11
01
01
00
01
10
11
00
00
11
10
00
00
01
00
00
10
01
10
01
10
10
00
00
00
10
10
00
00
00
10
00
10
10
10
10
00
01
10
00
11
01
10
01
00
11
00
10
01
00
01
10
00
00
10
00
11
00
10
10
01
00
10
00
00
00
11
10
10
01
11
10
01
00
01
00
00
10
10
00
01
11
00
01
00
11
11
10
10
00
00
10
00
01
10
10
01
10
11
10
10
10
01
11
10
01
00
11
01
01
00
10
10
00
00
11
01
11
00
11
10
10
00
00
00
11
10
00
00
10
11
10
00
00
10
11
10
10
11
00
10
00
00
00
11
00
01
00
11
01
11
00
00
11
10
00
10
00
00
10
11
00
10
01
11
10
00
00
10
00
01
10
10
10
00
10
01
01
10
01
10
10
10
00
10
01
10
11
00
01
10
10
10
11
00
01
10
10
01
11
10
10
10
00
10
11
01
11
10
01
00
10
11
11
00
00
10
00
00
10
10
11
00
01
01
10
00
11
10
01
11
11
01
01
10
01
11
11
10
00
00
11
10
00
01
10
00
01
01
10
10
00
10
10
10
11
00
00
11
00
10
11
00
11
11
01
00
01
11
01
10
11
00
00
10
11
00
00
01
10
10
11
10
00
11
10
10
11
00
10
11
00
01
00
00
10
11
10
10
00
01
00
00
10
10
00
00
10
00
00
00
01
10
10
10
10
01
10
00
00
00
11
11
11
10
01
01
11
10
10
00
01
11
00
01
10
01
00
11
01
00
00
10
01
11
11
00
00
10
11
10
11
11
11
11
11
01
00
00
10
00
01
11
10
00
00
10
00
00
10
00
00
10
01
00
11
10
10
00
00
00
00
00
10
10
11
00
11
00
11
10
01
10
00
10
10
01
00
11
10
10
10
10
01
00
00
10
00
00
10
10
10
00
00
00
01
00
11
11
11
00
01
00
01
11
10
00
11
11
10
11
00
00
01
10
00
00
00
10
10
01
01
00
11
00
00
01
00
11
10
00
00
00
10
11
10
00
00
01
10
10
11
00
01
00
00
00
10
00
01
00
10
00
00
00
01
11
10
00
00
10
00
01
10
00
01
11
00
01
11
10
11
00
01
00
10
11
10
10
01
00
10
01
00
10
11
01
00
00
10
10
10
00
00
11
10
01
00
10
01
01
11
10
01
10
01
00
00
00
10
00
11
00
01
10
10
10
10
01
00
00
00
11
11
10
01
10
11
10
11
00
01
00
10
10
00
00
11
01
00
11
10
00
10
00
10
00
01
11
11
00
10
00
00
11
10
01
00
10
10
11
10
00
10
10
00
10
11
01
10
00
00
10
10
10
10
00
00
00
10
11
00
01
00
10
10
10
10
10
00
01
00
00
10
11
01
01
00
10
10
10
10
01
10
00
01
10
00
10
00
10
10
10
00
01
10
00
00
10
10
10
10
10
00
10
00
10
10
00
01
10
01
01
10
11
00
01
00
00
10
10
00
01
01
10
01
10
11
10
00
01
10
10
01
10
10
10
00
00
10
01
00
00
00
00
10
11
00
00
01
11
00
01
00
11
10
10
00
10
00
00
10
10
00
11
11
11
10
10
11
00
11
00
10
11
00
00
00
10
00
00
10
10
01
00
10
11
10
00
01
10
10
00
00
00
01
10
01
00
11
10
00
10
10
01
01
10
11
11
11
11
10
11
00
10
00
00
10
00
00
10
11
01
01
00
00
10
11
10
00
10
10
00
11
00
01
00
00
00
00
01
10
00
00
00
10
10
00
10
01
10
00
00
00
11
10
11
10
10
00
00
00
01
10
11
01
00
11
10
00
11
01
10
01
01
11
10
11
10
10
10
00
01
10
11
00
10
01
11
10
11
10
00
10
10
10
10
10
00
00
10
10
10
10
10
11
10
11
10
10
00
10
11
00
10
11
10
11
11
01
00
00
10
10
01
11
00
00
10
01
01
00
10
10
00
11
00
11
11
01
10
10
01
00
00
10
10
00
01
10
11
10
01
11
01
01
01
00
11
01
10
01
01
10
10
11
01
10
10
10
01
00
01
00
10
10
00
00
11
11
01
00
10
11
01
10
11
10
00
10
01
10
10
10
00
11
10
10
00
00
01
00
11
10
01
10
11
11
10
10
10
01
01
10
10
10
10
00
01
00
00
00
01
10
10
00
01
01
11
11
10
00
01
10
00
01
10
10
01
01
10
10
01
11
00
11
00
01
01
10
01
00
10
00
00
10
11
11
00
00
00
10
10
00
10
01
01
10
00
10
10
00
10
10
01
00
10
01
10
00
00
10
10
10
00
00
11
10
00
10
00
00
10
01
01
00
01
01
10
11
11
01
00
10
11
01
11
10
10
00
00
10
10
10
00
10
10
11
00
01
01
10
10
10
11
00
01
01
00
00
01
00
10
00
01
11
10
10
00
11
10
10
10
11
01
11
10
00
00
11
10
01
00
11
10
01
11
00
01
00
00
01
01
10
00
11
11
01
11
10
10
01
00
11
11
10
01
01
01
00
10
10
00
00
01
11
10
01
00
00
01
01
10
01
01
00
01
01
10
00
00
11
10
00
00
10
11
11
00
11
11
11
10
00
00
01
10
00
00
10
10
10
11
10
01
10
00
01
10
01
10
10
00
00
10
10
11
01
11
01
00
10
10
10
00
00
10
10
00
10
10
00
11
11
10
00
01
11
01
01
11
00
00
10
11
10
00
00
10
10
00
01
00
10
10
01
11
00
10
10
01
00
10
10
10
00
10
10
10
10
00
10
00
10
00
01
00
00
10
10
00
10
11
10
00
00
00
00
10
10
00
11
00
11
10
00
10
10
11
10
01
00
10
10
00
10
10
00
00
10
11
01
00
11
01
11
11
10
10
00
01
01
01
11
00
00
01
01
10
11
10
00
00
10
10
10
11
00
00
10
01
00
00
10
01
01
11
00
10
11
10
11
01
00
10
10
10
00
00
11
00
00
11
10
11
10
00
11
11
10
00
00
10
00
01
00
01
10
00
01
11
11
01
00
10
00
10
10
10
00
00
10
10
00
10
11
10
11
01
10
11
00
00
00
00
10
01
01
10
10
00
00
11
00
11
00
11
10
00
01
00
11
00
00
10
00
00
01
11
10
01
00
00
00
10
10
00
01
10
10
00
00
01
10
11
00
00
11
11
00
01
00
10
11
00
00
00
00
10
10
00
10
11
00
01
11
11
10
00
00
01
10
00
11
10
00
10
01
00
01
10
00
11
11
00
11
10
00
00
10
10
11
00
01
00
00
11
10
10
00
00
11
01
00
11
10
10
10
10
11
10
01
01
11
10
01
00
00
01
10
01
10
10
10
01
01
10
11
10
10
00
10
00
01
10
10
10
00
00
01
01
10
00
10
10
10
00
10
01
10
00
00
11
10
10
11
00
11
10
10
01
00
11
00
11
11
01
00
01
00
00
10
01
00
11
00
01
11
10
10
10
00
00
00
10
00
11
10
01
10
00
01
10
10
00
00
11
10
10
00
00
00
01
10
11
11
10
11
00
00
01
10
11
00
01
11
11
00
01
01
10
00
00
10
10
00
00
10
10
01
11
01
11
01
00
10
00
10
01
01
10
11
00
00
00
11
00
10
10
00
10
01
10
11
10
01
01
10
10
10
10
00
01
00
10
00
10
10
10
10
00
10
11
01
10
10
00
01
01
00
11
00
01
10
01
01
00
10
00
11
10
01
11
11
10
01
10
10
10
00
00
11
01
01
00
10
10
10
00
10
00
10
00
00
00
00
01
11
11
00
10
10
10
00
00
11
10
10
00
01
10
00
11
01
10
11
01
00
11
11
01
01
01
11
10
00
01
10
10
00
11
10
01
01
11
10
00
10
01
10
00
01
10
10
01
10
00
01
11
00
10
11
00
00
00
11
01
11
11
00
00
00
10
10
01
10
11
11
11
00
11
00
01
10
10
11
00
00
10
10
00
01
00
10
10
01
10
00
10
00
00
00
01
11
01
10
11
00
01
00
11
01
00
11
10
10
01
00
11
00
01
11
10
10
00
00
00
01
10
10
10
00
01
11
10
01
10
10
01
10
10
00
00
10
11
00
01
10
11
10
10
10
00
01
00
11
00
11
10
01
00
10
10
01
10
10
10
00
00
00
11
10
10
10
11
11
00
00
10
11
10
00
00
00
10
11
10
10
01
00
00
10
10
01
11
11
01
10
11
01
10
11
00
00
11
10
10
10
10
11
00
00
10
00
00
10
10
01
11
01
11
11
11
11
00
10
10
10
00
01
00
10
10
00
10
00
01
01
10
10
01
01
10
00
00
00
11
00
11
10
00
10
01
10
11
01
01
11
11
11
00
10
10
00
00
10
00
00
00
00
00
10
00
00
00
10
01
10
10
11
01
11
10
10
01
01
00
11
10
00
01
00
10
00
11
11
11
00
00
00
10
10
10
10
11
10
00
01
01
00
10
00
00
11
10
00
10
10
00
00
10
00
11
10
11
00
10
10
00
10
10
11
00
00
10
01
11
00
11
10
00
10
00
00
10
10
10
10
00
11
11
11
11
10
00
10
00
00
00
11
10
01
00
10
10
10
00
00
00
11
10
10
00
00
11
10
10
00
10
10
11
00
01
10
00
01
01
10
11
10
01
11
10
00
01
11
10
00
10
00
00
11
01
00
11
00
10
10
00
00
01
10
10
00
00
10
10
11
10
10
00
00
11
10
01
00
00
11
10
00
01
10
10
00
11
10
11
11
10
11
01
00
10
11
01
01
00
11
10
11
01
01
10
10
00
00
01
01
00
10
10
00
10
10
00
00
01
11
10
10
10
11
00
10
00
11
10
01
11
00
10
10
11
10
10
01
01
00
11
00
11
10
01
01
00
10
11
00
00
11
01
10
00
11
11
00
00
00
10
11
00
10
01
10
10
10
00
10
10
01
01
00
10
00
00
10
00
00
01
00
10
11
10
01
01
11
11
10
01
11
10
01
10
00
01
11
11
00
10
00
10
00
10
10
01
00
10
10
10
00
11
10
10
00
01
01
10
11
00
11
10
11
00
00
00
10
00
00
10
11
00
01
11
11
10
10
11
11
01
11
11
00
01
00
00
10
10
01
00
11
10
11
11
00
10
00
00
10
10
10
01
00
10
11
10
10
01
01
10
00
00
10
10
01
00
11
11
10
00
10
11
00
11
11
10
01
01
11
11
11
00
01
01
11
10
00
00
01
10
00
00
10
11
00
00
11
00
10
01
00
01
00
10
10
00
10
10
00
00
00
10
00
11
00
10
10
00
11
11
00
10
00
00
10
10
10
01
00
01
10
00
00
00
01
10
10
01
10
11
10
01
00
00
00
11
11
00
01
10
11
00
00
10
10
00
01
00
11
01
00
11
10
11
10
01
00
10
10
00
10
00
01
10
00
00
10
10
00
10
11
01
10
11
10
01
00
00
00
10
01
00
01
00
10
11
00
00
10
10
00
00
10
11
01
01
10
00
00
11
11
00
01
10
00
10
10
11
10
00
01
11
01
10
00
00
00
10
10
11
00
00
11
10
00
10
10
11
10
00
10
10
00
10
01
00
01
00
01
10
10
10
00
10
11
10
10
10
01
10
00
11
10
01
01
10
10
01
00
00
10
11
11
00
01
00
10
00
10
11
00
01
10
00
00
10
00
10
00
00
01
10
11
11
10
00
00
10
01
00
10
00
00
01
01
10
11
10
00
00
00
11
10
10
10
00
10
00
00
10
10
00
01
11
10
00
00
11
10
01
00
00
10
10
10
11
01
01
01
01
10
10
10
01
01
10
11
00
11
11
00
11
10
01
10
00
11
00
00
10
00
00
10
10
11
11
10
10
10
10
11
10
10
10
10
00
10
10
00
00
11
10
10
00
00
01
01
01
11
01
00
10
00
01
00
10
10
00
10
11
10
11
11
10
01
00
10
10
00
01
10
10
10
00
01
11
00
01
10
00
00
10
10
00
10
10
10
00
11
10
10
10
01
00
01
01
10
00
01
01
10
00
00
11
11
00
11
01
10
00
00
01
00
11
00
10
00
10
10
01
01
01
10
01
00
00
10
01
10
10
01
00
11
10
11
11
10
10
00
00
10
00
10
00
01
00
01
10
00
11
00
11
01
00
10
00
01
11
01
00
10
00
11
11
10
10
00
11
10
01
11
01
00
00
01
01
00
10
10
00
10
01
10
01
01
10
00
10
01
01
00
10
11
00
10
00
00
00
10
01
11
10
10
01
10
11
10
00
11
11
00
01
00
10
10
10
00
10
11
10
00
01
00
10
00
11
01
00
11
00
00
00
11
11
10
00
01
00
00
11
10
00
01
10
00
01
10
00
01
10
10
00
10
11
11
10
10
00
10
10
11
11
00
01
00
11
11
11
10
11
00
01
00
10
01
00
11
10
00
00
10
10
00
10
10
10
00
10
01
00
00
00
10
10
10
00
00
11
11
01
10
00
00
00
00
01
10
11
00
01
01
10
00
11
11
00
00
10
10
10
00
10
00
10
10
10
10
01
10
11
10
10
00
01
10
10
00
11
10
11
00
10
00
00
00
11
01
01
00
01
11
01
00
10
10
00
11
10
10
00
00
10
01
11
00
11
10
01
11
11
00
00
10
10
10
00
01
00
11
11
01
00
01
11
00
01
10
00
00
10
10
11
01
01
10
10
00
00
00
10
10
00
10
01
11
10
11
00
00
10
10
00
00
01
10
11
01
01
11
00
11
10
10
00
11
00
00
00
10
01
00
11
00
11
10
00
10
10
10
11
10
00
00
01
10
11
10
01
10
00
00
11
10
00
10
10
11
10
10
00
10
10
11
10
01
00
00
10
10
00
11
10
01
01
10
01
00
00
01
10
10
00
00
00
00
10
10
10
10
01
01
10
11
10
10
10
01
01
10
11
01
00
10
00
10
10
00
10
00
01
10
10
00
00
01
01
10
11
00
01
00
00
01
00
00
11
00
01
10
10
10
00
01
10
01
00
10
10
01
01
01
10
11
00
10
10
00
11
10
10
00
10
11
00
11
01
10
00
00
00
10
10
01
11
00
10
10
01
00
01
11
11
00
10
01
00
10
00
01
11
10
00
01
00
10
00
11
10
00
01
00
01
10
11
10
10
00
10
11
00
01
00
00
10
10
00
10
10
10
00
01
11
11
00
10
11
00
10
00
10
10
01
10
00
00
01
00
11
11
00
10
10
11
11
00
01
10
10
01
00
10
00
11
10
01
00
00
10
01
00
11
10
00
10
10
01
01
10
11
00
00
11
10
10
00
00
11
00
00
01
00
11
10
00
00
11
10
00
00
10
10
10
10
00
00
10
11
10
11
10
01
11
11
11
01
11
11
00
10
00
00
10
11
00
01
01
10
10
01
00
01
11
10
10
01
00
10
00
00
10
11
01
00
01
01
11
00
00
10
00
00
10
10
00
10
10
11
10
10
01
10
11
01
10
10
10
10
00
10
10
10
01
10
10
10
01
01
11
10
00
00
10
00
00
11
10
00
10
11
00
01
00
10
00
00
01
10
10
01
01
01
10
00
10
01
01
01
10
10
00
10
11
00
00
11
10
00
00
00
10
00
10
00
10
10
00
01
10
00
01
10
01
11
10
00
00
00
11
01
00
11
10
11
10
10
00
01
00
01
00
11
10
10
11
00
00
10
10
01
01
10
11
10
01
00
00
10
00
00
10
11
10
10
00
00
00
10
00
00
10
01
00
10
01
00
00
00
10
01
11
11
10
10
11
00
01
00
10
10
00
10
01
00
01
11
11
01
10
10
10
00
00
10
11
11
01
01
10
10
01
00
10
11
00
01
00
00
10
00
01
01
01
11
01
01
11
01
01
10
00
00
11
11
01
10
10
00
01
01
00
00
11
11
10
00
00
10
00
10
00
01
00
00
00
10
10
10
00
11
11
00
00
10
01
11
00
01
11
11
11
11
00
10
00
00
10
00
00
11
01
01
10
01
00
10
00
00
10
10
10
00
01
00
00
01
00
00
00
01
00
10
10
10
10
10
10
00
01
00
00
00
10
11
10
10
00
00
10
10
11
00
00
10
00
00
10
00
10
00
00
11
10
00
00
01
01
10
00
10
00
00
10
00
10
00
10
10
10
00
00
11
00
10
10
11
10
00
10
10
00
00
01
10
00
11
00
00
10
10
01
00
00
11
01
10
10
01
11
00
00
11
10
00
00
00
00
10
00
10
10
00
01
01
00
10
01
00
10
11
10
01
10
10
00
11
10
10
01
00
00
01
11
11
01
01
00
10
11
00
10
10
01
00
01
10
11
10
10
10
00
10
00
00
10
00
11
00
10
10
00
01
01
11
10
00
10
10
00
10
00
00
10
01
01
11
10
11
00
01
01
11
10
00
01
01
11
10
10
11
01
01
10
11
00
01
00
00
00
10
10
01
10
01
11
10
10
00
11
00
01
11
00
10
11
10
10
10
01
10
10
11
10
01
10
00
00
10
10
10
11
01
01
11
00
00
10
11
10
00
00
01
10
11
00
10
10
01
10
10
10
00
01
10
00
11
00
10
10
10
01
10
11
00
00
00
11
10
00
00
10
10
00
00
11
00
01
00
10
11
01
10
11
10
00
00
00
01
10
11
10
11
10
10
01
00
10
11
00
10
00
00
10
00
01
00
10
01
10
11
10
00
01
11
00
00
00
10
00
10
10
00
00
10
11
00
10
11
11
11
01
00
00
01
01
10
10
00
01
11
00
10
10
11
11
00
00
11
10
00
10
11
01
00
00
10
00
11
10
10
00
10
10
00
00
01
00
10
01
10
00
11
00
00
11
00
00
00
10
11
10
00
10
10
11
00
00
01
10
11
00
10
10
01
11
11
11
01
11
10
10
01
00
10
10
01
01
11
10
00
11
10
01
11
10
10
00
10
01
01
01
11
01
00
11
11
00
10
10
01
00
00
00
10
10
00
11
00
10
10
00
11
10
11
10
00
01
01
00
00
11
10
10
01
00
00
10
11
11
00
01
11
00
00
00
11
00
11
10
10
10
01
00
01
10
10
11
00
00
00
10
10
00
01
10
10
00
10
11
11
00
11
00
10
00
11
00
01
00
11
10
00
10
10
00
00
10
11
00
10
00
11
10
01
11
10
00
10
10
00
11
00
01
10
00
11
11
11
10
11
01
00
11
00
00
10
01
10
11
00
00
01
11
11
00
01
11
10
11
01
00
01
00
10
10
00
01
10
00
00
11
10
01
11
10
10
10
00
01
00
11
00
00
10
00
10
10
11
00
00
10
10
11
10
01
10
00
00
00
00
00
10
11
10
01
00
10
10
10
01
10
11
00
00
00
01
10
01
00
11
00
11
10
11
01
00
10
11
10
01
00
11
00
11
10
00
10
10
00
11
10
00
00
11
00
00
11
00
11
11
10
10
00
10
10
00
00
11
00
10
10
00
00
10
00
11
00
00
11
00
11
10
10
10
01
10
11
01
01
00
00
11
00
00
10
00
00
10
11
00
00
10
10
11
01
00
11
00
00
11
01
01
00
00
01
11
10
10
00
10
10
00
01
01
00
11
10
00
10
10
10
00
00
11
00
11
10
00
11
10
10
10
00
01
10
00
00
00
00
00
01
10
00
00
10
11
01
10
00
10
00
10
10
10
00
00
01
00
00
10
10
00
00
11
11
00
10
10
10
10
01
00
10
00
01
10
10
01
00
10
11
10
00
00
00
00
11
11
10
11
00
01
11
11
01
01
10
01
10
10
10
00
00
10
10
10
01
11
01
00
01
00
10
10
01
00
01
00
10
00
01
11
01
10
10
11
10
11
00
01
11
11
11
11
01
00
00
10
10
01
00
11
11
00
10
10
01
01
01
10
11
00
01
00
00
11
01
01
01
00
10
01
00
10
10
00
11
11
10
00
01
10
00
10
10
00
10
00
00
10
10
10
00
10
10
01
10
01
00
01
00
10
00
01
01
10
10
00
00
11
10
11
01
11
01
01
00
11
10
00
10
11
00
11
10
01
10
10
10
11
10
00
10
00
11
00
10
00
00
01
00
10
10
11
00
00
00
01
00
10
00
00
01
11
00
10
01
10
11
10
00
00
00
00
10
10
00
10
11
00
01
00
01
10
00
00
10
11
00
00
10
01
11
11
00
00
10
01
11
00
01
11
00
10
10
00
10
10
01
00
11
10
10
01
10
01
10
10
00
11
00
10
10
11
01
11
11
00
10
00
00
11
10
10
00
10
10
10
00
01
10
10
00
10
00
00
01
00
10
00
01
10
10
00
00
01
00
01
01
01
11
01
00
00
00
10
11
00
10
11
10
10
00
10
00
01
10
11
00
01
10
01
00
00
00
10
10
00
01
10
01
01
10
11
01
00
10
10
00
00
00
11
10
10
00
10
01
01
10
00
10
10
00
10
01
10
10
00
11
11
00
11
10
01
10
11
00
10
10
10
00
01
11
00
01
10
11
10
10
00
00
01
11
10
10
00
11
01
01
10
10
10
10
10
11
10
01
11
11
10
10
10
01
01
10
00
01
10
11
10
01
01
10
10
00
10
10
10
00
00
10
11
11
00
00
11
00
01
10
00
01
11
10
00
11
11
00
11
01
01
00
01
10
10
00
00
10
10
00
01
10
01
00
01
10
01
00
11
00
00
10
10
11
00
00
11
10
01
10
00
01
00
11
11
11
11
00
01
01
11
00
00
11
10
01
00
11
00
10
10
10
11
00
01
10
00
00
10
00
10
00
11
01
01
00
11
10
00
00
11
00
00
11
10
00
10
11
10
01
00
10
00
10
01
00
11
10
11
10
10
00
00
00
10
01
01
10
11
00
01
10
11
10
11
01
10
01
00
01
10
00
01
11
00
00
10
00
00
10
11
00
11
10
10
10
10
00
01
00
11
00
00
00
10
10
10
00
01
10
01
10
10
00
01
10
00
10
11
10
00
00
11
10
01
00
00
01
10
10
11
00
00
01
11
00
00
10
00
11
10
01
00
01
11
11
11
00
11
11
00
10
10
00
00
00
11
10
00
01
00
11
00
10
10
00
00
01
00
10
10
00
10
10
11
11
11
01
00
11
10
10
00
11
11
01
10
00
01
10
01
11
10
11
11
00
00
10
01
10
11
00
01
10
10
00
00
00
10
10
00
00
00
00
00
10
10
10
00
10
11
00
10
00
01
00
10
00
01
10
11
11
00
00
11
10
00
10
10
00
10
01
10
10
00
00
10
10
00
00
11
10
00
10
10
00
00
10
01
10
10
11
00
00
11
01
00
10
10
00
01
10
10
00
10
10
10
01
11
10
10
11
10
10
10
01
00
10
10
10
00
10
01
01
01
10
01
01
10
11
00
11
10
10
00
11
10
00
10
10
01
10
11
00
10
11
00
11
01
10
01
00
10
10
00
01
01
10
10
00
01
00
11
11
00
11
10
00
10
00
00
01
00
11
00
01
11
01
00
10
00
00
10
11
10
01
00
00
01
11
01
10
01
01
10
00
10
01
01
00
11
10
00
00
10
00
10
10
00
01
10
10
00
10
10
01
10
11
11
00
00
01
10
10
10
01
00
11
01
01
01
00
01
11
10
01
00
11
10
00
00
10
10
00
10
10
11
10
00
11
10
10
11
10
00
00
10
00
11
00
10
10
00
00
00
10
01
00
00
00
00
00
11
10
00
11
01
01
10
10
00
00
10
10
11
11
01
01
10
00
10
01
01
00
10
10
00
10
10
00
11
00
00
01
00
10
00
01
00
00
10
01
01
11
11
01
10
10
00
10
01
00
00
10
10
00
11
00
10
10
00
00
10
01
00
11
00
10
00
01
01
10
00
01
01
01
10
11
00
00
10
11
01
00
10
10
10
11
10
00
00
10
10
10
10
00
11
00
10
11
00
11
01
10
10
01
00
00
11
10
01
00
10
01
00
11
10
00
10
11
00
00
11
11
11
10
01
10
00
00
01
00
10
10
00
11
01
00
11
00
00
10
11
10
00
00
00
11
00
00
11
11
00
00
10
10
11
00
10
10
00
11
00
10
10
00
01
11
11
00
01
00
11
11
10
11
00
00
11
11
11
01
00
10
00
11
10
11
00
00
10
01
10
10
00
10
10
00
00
10
00
00
00
11
10
11
01
01
10
10
10
01
10
11
00
10
10
01
01
10
11
00
00
10
00
10
10
00
00
00
10
01
10
11
10
00
11
01
00
11
11
00
00
00
10
11
00
10
01
11
10
11
00
00
11
10
00
10
00
01
00
10
00
11
10
00
10
00
10
10
00
10
10
01
00
10
10
11
11
00
00
01
01
11
10
00
10
11
00
10
00
01
11
10
00
11
00
00
11
10
11
01
00
00
00
00
00
10
10
01
00
00
00
00
10
10
00
00
10
00
01
00
10
11
00
11
00
10
10
10
11
01
00
10
11
11
00
00
00
10
10
01
01
10
00
10
10
10
00
11
01
10
01
10
00
00
00
10
10
00
00
01
10
11
01
10
11
00
00
11
01
00
10
00
00
01
10
11
10
11
11
10
10
00
00
11
00
10
10
11
10
01
10
01
00
00
10
00
00
10
00
10
00
10
00
10
00
00
01
00
10
00
01
01
10
00
00
11
11
10
10
00
10
10
00
10
10
10
00
11
10
01
10
00
00
10
01
10
10
01
00
00
00
10
00
00
11
10
01
00
10
10
10
11
11
00
11
00
00
10
10
00
01
10
10
11
00
01
00
00
10
00
01
10
10
00
00
11
10
11
00
00
10
10
10
01
01
11
00
10
00
10
01
11
00
01
10
11
00
10
10
00
00
10
00
00
10
00
10
10
00
00
11
01
00
00
10
10
01
11
10
00
00
10
00
10
10
10
00
10
11
11
10
00
10
00
00
01
10
11
01
00
11
11
00
11
11
00
01
11
00
10
01
00
10
10
10
10
10
00
00
00
10
11
00
10
11
10
10
00
01
10
11
10
01
00
10
11
11
00
11
11
00
01
00
10
11
11
00
00
10
10
00
00
10
10
00
00
00
11
00
00
00
01
11
11
00
10
10
10
10
00
00
10
00
01
01
00
01
00
01
01
10
01
10
11
00
10
10
01
01
00
00
10
10
10
00
11
11
00
00
00
11
01
00
11
11
10
10
10
00
00
10
10
00
10
10
00
10
10
10
11
11
01
00
00
01
11
01
00
10
10
01
00
00
10
00
01
10
10
00
11
10
10
00
00
01
10
01
00
10
10
10
11
11
01
10
10
00
10
00
01
11
00
10
10
10
00
11
10
00
01
01
10
10
10
00
10
01
00
10
10
00
11
10
01
00
11
01
10
10
00
11
10
01
00
10
11
10
10
00
10
10
00
00
11
01
01
10
10
00
00
10
10
10
01
01
00
10
11
10
00
11
11
00
10
00
01
10
11
11
00
11
00
10
00
10
10
11
10
00
00
11
00
00
01
01
10
00
11
10
10
00
11
00
10
00
01
00
01
10
10
00
00
10
11
00
00
00
10
11
11
10
00
11
00
00
11
00
10
11
10
00
10
00
00
10
10
01
01
00
01
00
00
10
01
01
11
11
11
00
00
00
00
10
10
10
00
01
10
00
10
11
01
00
01
10
11
10
10
00
00
10
00
00
11
10
11
10
00
10
00
10
11
11
00
00
00
11
10
00
10
10
00
10
00
01
00
01
11
00
10
00
01
01
10
10
11
00
01
11
01
11
10
01
11
00
10
01
00
11
10
01
00
00
10
10
00
10
11
00
01
11
01
10
10
10
01
11
11
00
00
10
11
00
00
00
10
01
11
11
00
01
10
00
11
00
11
00
01
11
10
10
00
11
10
00
00
00
10
10
11
10
10
00
10
00
00
10
00
10
00
10
01
11
10
10
01
01
10
11
01
01
00
00
01
10
11
10
01
10
11
00
10
00
00
01
10
01
00
01
01
01
10
11
01
00
00
10
00
01
00
10
00
01
11
00
10
00
00
10
00
10
10
11
10
10
11
00
01
01
11
00
10
00
10
11
00
11
00
11
10
11
10
00
00
11
00
00
11
10
00
00
10
11
00
00
00
00
10
01
01
11
01
00
01
10
01
11
10
01
01
00
00
10
11
00
10
10
01
00
10
10
00
10
10
10
01
00
11
10
00
10
10
10
10
00
10
10
00
11
10
10
00
00
00
01
10
10
01
11
10
11
00
01
11
10
01
10
11
00
00
10
00
00
00
00
11
10
10
00
11
00
00
01
00
11
00
00
11
10
10
01
10
11
00
10
10
11
01
11
10
00
00
00
10
10
10
00
11
10
01
01
11
00
00
10
10
00
00
10
10
01
00
10
00
00
00
11
01
00
00
01
10
00
00
11
10
10
10
00
00
10
11
10
01
00
01
10
10
11
00
10
10
11
00
00
10
10
10
00
01
10
11
11
11
11
00
00
10
11
00
00
00
11
10
00
10
10
00
00
11
00
01
00
11
10
01
10
10
10
00
00
10
00
10
00
11
10
11
10
11
00
10
10
01
00
00
00
11
10
11
00
00
10
01
10
10
01
01
10
11
00
10
10
00
10
01
11
10
00
00
00
00
00
10
00
01
00
11
00
01
00
11
10
01
10
11
00
00
00
10
00
10
10
10
10
00
00
11
11
01
10
10
10
10
11
10
01
00
01
00
00
01
10
01
11
00
00
10
10
00
01
11
11
00
00
00
01
10
00
11
00
00
00
10
10
01
00
10
00
00
10
10
00
10
00
11
01
10
01
10
01
00
00
00
00
11
00
10
11
00
00
10
00
00
11
00
10
11
01
11
00
10
00
00
00
10
00
10
10
00
00
10
11
00
11
00
00
10
11
10
10
10
10
00
00
11
00
10
01
10
00
00
10
11
10
11
10
10
00
11
00
01
00
00
00
00
01
10
10
00
11
01
10
11
00
01
10
10
11
01
01
10
11
11
00
10
00
00
01
10
10
01
10
00
10
00
10
10
01
00
11
01
00
11
10
11
00
00
10
01
10
11
10
01
00
10
10
00
01
01
01
10
10
10
10
10
10
01
00
00
11
00
01
01
00
00
01
10
10
11
01
10
00
00
00
10
10
10
10
00
10
10
00
00
01
10
01
01
10
10
10
10
00
10
10
01
10
11
00
10
00
10
00
11
01
01
00
10
11
01
10
10
10
10
00
00
10
01
10
10
00
10
11
10
10
11
10
11
11
01
00
00
10
10
11
00
01
11
10
00
00
00
10
11
00
10
00
11
00
10
11
00
11
10
01
00
01
00
01
11
10
10
00
10
11
10
00
01
00
00
00
01
10
00
01
10
11
10
11
01
10
00
10
11
00
10
01
10
10
00
01
10
10
10
00
11
01
10
10
00
00
11
10
10
00
00
01
00
01
11
10
01
11
00
00
00
00
10
00
00
11
10
00
10
00
11
00
00
11
10
00
00
11
01
00
11
10
00
01
00
11
01
00
00
10
10
11
10
00
10
11
10
00
01
11
10
00
01
10
00
10
00
00
00
10
11
01
01
11
10
11
10
01
11
10
00
00
00
10
01
00
10
10
00
11
00
00
11
10
00
00
11
11
00
00
00
00
10
10
00
11
10
10
10
00
10
00
10
10
01
00
01
00
10
00
01
01
00
00
10
10
11
00
01
10
10
00
10
11
01
00
11
11
00
11
10
00
11
00
00
10
10
00
00
11
10
00
10
11
00
10
00
01
11
10
00
00
10
00
00
00
10
10
00
11
11
00
11
01
11
10
00
00
10
10
10
00
01
00
10
10
11
10
01
10
10
11
11
11
10
00
00
00
10
00
00
00
00
10
10
00
00
00
10
00
10
11
10
01
10
10
00
10
10
00
00
00
01
10
10
11
10
00
00
10
00
10
10
10
10
10
00
00
00
00
11
01
00
11
00
10
10
01
10
10
00
00
11
00
00
01
00
10
01
10
11
00
00
10
01
01
00
00
10
00
00
01
10
11
10
11
01
10
10
11
10
01
01
11
01
00
10
01
10
01
00
01
10
10
10
01
11
11
10
00
00
10
00
10
11
01
10
00
11
00
00
11
00
10
01
10
11
11
00
00
11
10
11
00
01
01
10
11
10
10
00
11
11
01
01
10
10
01
10
11
10
00
01
11
10
00
10
10
00
01
10
10
01
00
10
00
11
10
01
10
11
10
00
11
11
11
00
11
00
00
00
00
10
10
00
00
11
10
10
11
00
00
10
01
01
10
10
00
10
00
00
11
00
00
10
01
11
01
01
10
01
00
00
11
01
00
00
10
01
00
11
10
01
00
01
00
10
11
10
00
00
11
10
00
01
10
00
00
10
00
00
10
10
10
01
00
01
10
00
11
00
10
10
11
00
00
00
10
01
10
00
00
10
10
10
00
10
11
00
10
01
11
10
00
01
10
01
00
10
00
10
10
10
00
00
11
00
10
10
10
00
11
10
01
11
01
11
00
00
11
01
00
00
10
10
00
00
10
10
11
10
11
11
00
10
00
00
11
10
01
10
10
10
00
10
00
01
10
11
00
10
01
10
10
00
00
11
10
01
00
01
10
00
01
10
11
00
10
10
00
00
11
01
00
01
00
00
00
10
10
10
01
01
10
00
00
11
00
10
10
01
00
10
10
11
00
10
11
00
10
00
10
11
10
00
00
10
00
00
00
10
00
00
00
10
11
11
11
10
00
01
10
00
00
01
10
10
10
11
01
10
11
00
10
10
00
11
00
11
11
00
10
00
01
11
00
00
10
10
00
10
10
00
01
11
00
01
10
00
00
10
11
00
01
10
01
00
10
00
10
00
00
00
00
00
10
10
11
01
11
01
00
00
10
00
11
01
00
11
00
00
01
10
11
10
11
01
00
10
00
10
11
01
01
10
01
11
10
10
10
00
00
01
11
10
10
00
10
11
00
00
10
10
10
11
00
00
00
10
11
11
00
00
00
11
01
01
00
10
01
00
11
11
11
01
10
11
00
10
00
00
10
10
11
00
10
00
11
11
10
11
00
10
01
10
11
00
00
10
11
00
01
10
01
00
10
00
10
10
11
10
00
10
00
01
11
01
00
10
11
01
11
10
10
01
01
11
10
00
00
11
00
01
00
10
10
00
01
11
00
10
01
00
00
01
11
10
00
00
10
10
10
00
00
00
01
01
00
00
00
11
10
11
10
00
11
11
00
00
01
10
11
10
01
00
00
01
10
11
00
00
10
00
00
00
00
11
11
10
01
00
01
00
10
10
00
00
10
01
10
00
00
10
11
01
10
01
01
11
00
00
01
11
10
00
10
00
10
10
11
00
00
00
00
01
10
01
01
11
11
10
01
00
10
10
10
00
00
10
10
01
11
10
10
00
10
11
11
00
00
00
10
01
01
10
10
00
00
00
11
01
01
10
11
10
10
10
01
00
10
10
00
01
10
00
10
10
01
00
10
00
00
10
00
10
10
10
00
01
11
01
01
01
10
10
01
01
10
00
00
10
10
00
01
10
10
11
11
00
11
11
00
00
11
01
10
00
01
11
11
01
00
11
00
00
00
10
10
01
10
10
10
00
01
01
00
10
10
11
10
00
11
00
01
00
01
10
10
10
00
10
00
00
01
10
10
01
00
00
10
00
11
10
10
01
10
00
01
01
01
01
10
10
10
01
10
01
00
10
10
00
01
10
00
00
11
10
00
00
10
00
10
01
01
10
00
01
00
10
00
10
10
00
01
01
10
11
11
00
01
10
01
10
11
10
11
00
00
10
10
10
01
00
11
01
11
01
10
00
00
00
10
01
00
10
10
00
11
10
10
00
00
10
00
00
01
10
11
01
10
00
10
01
11
11
01
01
10
10
11
01
10
00
01
11
00
11
00
00
10
01
10
11
01
10
00
11
00
01
00
01
11
11
10
11
00
00
01
11
11
01
00
10
00
00
10
10
00
00
00
10
11
01
11
01
00
00
10
00
01
10
10
00
00
11
10
11
00
11
10
00
01
11
11
00
00
10
11
00
10
01
00
10
00
00
00
10
00
01
10
10
10
00
11
11
01
10
10
01
10
01
00
11
01
01
10
10
11
10
00
00
11
00
01
00
00
00
10
11
01
00
11
00
10
10
00
10
10
11
01
00
10
01
10
00
00
00
00
10
00
00
10
10
01
10
01
01
00
00
00
00
11
00
00
10
11
00
01
10
01
10
00
11
11
00
10
00
00
11
10
00
00
11
11
00
00
11
11
10
00
11
01
00
01
00
10
00
00
11
00
10
10
10
10
10
11
01
01
11
10
00
10
10
01
10
10
01
10
10
00
11
01
00
10
10
10
10
00
10
00
01
10
10
00
00
10
10
10
10
10
00
00
00
01
10
10
00
10
01
10
10
01
10
10
10
00
00
10
11
10
11
11
01
10
11
00
00
10
11
00
00
01
10
00
10
00
10
00
10
10
00
10
11
01
00
10
01
11
10
00
00
10
11
10
00
01
11
00
10
11
00
10
10
10
11
00
00
10
10
10
00
10
01
00
10
00
10
11
00
00
00
00
10
00
11
10
01
00
10
01
10
11
01
01
10
00
11
11
10
00
00
10
10
01
10
00
01
11
11
01
11
10
01
10
01
00
10
00
00
11
01
01
11
11
00
10
10
00
01
01
10
11
01
00
10
11
00
11
11
00
00
00
11
10
00
10
00
10
10
11
10
00
10
10
11
01
00
11
11
00
10
10
00
00
11
00
00
10
10
10
00
00
10
00
00
11
10
00
10
00
10
10
00
11
10
01
10
11
00
00
10
00
10
00
10
00
10
10
10
00
00
00
10
10
10
10
11
00
10
10
01
10
01
00
10
00
00
10
11
01
00
01
00
10
10
00
10
00
00
01
01
10
10
01
01
11
10
01
10
11
00
10
10
11
00
11
10
01
00
00
01
11
00
11
10
00
10
00
11
01
10
10
01
01
11
01
00
11
10
00
00
10
11
00
01
11
00
10
11
10
00
00
10
01
10
01
00
10
11
00
00
10
00
10
10
10
00
10
10
01
00
01
10
11
11
10
11
00
00
10
00
00
10
01
10
10
00
00
01
10
10
00
01
01
00
10
10
10
10
00
10
10
01
00
10
00
01
01
11
01
00
11
00
10
01
01
11
11
10
01
01
10
00
00
11
11
10
00
00
11
10
00
00
01
00
00
11
01
11
11
10
10
10
10
11
00
00
11
00
10
00
01
00
11
01
00
11
11
11
00
00
11
10
00
00
00
10
11
10
00
10
11
01
10
00
01
00
10
10
00
10
11
00
11
10
00
00
01
00
10
11
01
11
10
11
01
10
00
00
10
00
10
10
10
00
11
11
01
00
10
10
01
10
00
00
10
10
10
11
10
10
00
00
11
01
11
10
00
10
00
10
10
01
00
11
10
00
00
01
01
10
11
00
01
10
11
11
10
00
00
11
10
11
00
00
01
00
11
00
00
10
01
10
00
01
10
00
00
00
01
00
01
10
01
01
00
01
10
00
01
11
10
00
00
10
10
00
01
00
10
10
00
00
01
10
10
10
00
00
10
10
00
00
10
01
00
10
00
11
01
10
10
00
10
01
11
11
10
00
00
11
01
00
10
10
11
01
10
10
10
00
10
00
00
10
10
01
10
10
11
10
10
00
10
00
01
00
10
00
10
10
01
01
10
01
00
10
01
00
01
11
10
00
10
10
11
10
10
01
00
10
10
10
10
10
01
10
10
01
00
11
11
00
00
10
10
10
10
00
11
01
11
01
01
10
10
00
11
10
11
00
00
11
00
11
10
10
01
11
10
10
10
10
00
00
10
00
10
11
01
01
01
10
01
11
10
00
11
10
00
10
10
00
00
10
00
00
11
01
00
00
10
01
00
10
10
01
01
11
11
11
10
00
00
10
01
00
11
11
00
10
10
11
00
10
10
00
01
01
11
11
00
00
00
10
01
00
10
00
10
00
00
10
11
10
10
11
00
00
01
11
10
10
00
00
10
10
00
10
00
01
10
10
11
10
00
00
00
10
10
00
11
01
10
00
00
11
00
00
10
10
01
10
00
01
10
11
10
10
10
10
01
11
01
00
00
01
00
10
00
11
11
10
00
00
10
00
00
10
00
00
10
10
10
10
01
00
01
11
10
11
01
00
00
00
11
10
00
00
00
10
10
10
00
11
00
01
00
10
10
11
00
11
01
00
10
10
00
00
10
10
00
00
10
11
00
00
01
10
10
10
10
00
10
10
00
11
00
01
10
10
01
11
00
10
11
01
01
10
11
10
10
01
00
11
10
11
01
00
00
10
11
01
01
10
11
01
00
00
10
00
11
01
00
10
10
10
01
10
11
10
00
01
10
00
00
10
10
10
01
01
01
01
01
10
00
10
10
10
00
10
10
00
10
00
00
10
10
00
01
10
10
10
01
00
10
10
10
10
11
10
00
01
10
01
00
00
10
10
11
10
01
00
01
11
10
10
00
00
00
10
11
10
01
00
10
00
01
10
01
11
10
01
00
10
01
00
11
01
00
10
10
11
00
10
01
00
10
10
01
00
10
10
11
10
01
01
10
00
00
00
10
10
01
01
10
00
11
01
10
10
10
11
00
00
11
01
00
11
10
00
00
10
00
00
11
10
11
00
10
11
00
11
11
10
10
00
11
10
00
10
11
00
00
10
10
00
00
10
01
10
10
10
01
11
10
00
01
11
00
10
01
00
10
10
01
10
10
10
01
10
10
11
00
00
10
00
10
10
01
10
01
01
01
00
10
10
00
11
11
00
00
11
10
00
01
10
11
00
10
10
10
01
10
10
10
10
10
01
00
11
10
00
00
01
10
11
10
10
00
10
00
01
10
00
11
10
00
10
11
10
11
10
10
11
10
10
10
10
00
10
01
00
11
10
10
00
11
01
10
11
00
00
10
10
11
00
10
00
00
00
10
10
00
00
00
11
11
00
01
10
01
11
01
00
10
10
00
00
10
11
00
00
11
10
10
01
11
10
11
00
00
00
10
10
10
00
01
01
00
00
10
00
00
01
10
10
01
00
10
00
00
01
10
11
00
10
00
11
10
10
11
01
10
10
11
10
11
00
00
00
00
11
10
10
00
11
11
00
00
10
10
11
00
10
00
00
10
00
00
00
10
10
10
10
00
00
00
11
00
11
01
11
01
00
00
11
00
00
10
10
01
11
01
10
10
01
10
00
00
10
10
10
10
00
10
00
10
00
00
10
00
00
10
00
00
11
01
01
10
01
00
00
10
00
10
00
11
10
01
00
01
00
00
10
10
10
00
01
10
00
11
10
00
10
10
00
00
11
11
00
11
10
01
00
11
11
10
00
10
00
00
10
11
00
00
00
10
10
10
11
00
00
11
00
00
01
00
10
00
10
01
01
10
10
00
00
01
11
10
01
01
00
11
11
00
10
00
01
01
10
10
01
11
01
10
10
00
10
10
11
10
01
00
01
11
00
10
11
11
01
11
10
01
00
11
10
01
00
11
10
00
10
10
10
00
01
10
10
00
11
11
10
00
00
10
00
10
00
11
01
10
10
11
00
11
11
00
00
11
01
10
11
01
10
10
11
01
00
01
11
00
11
10
10
00
00
00
10
10
10
00
01
00
10
10
00
10
01
00
11
10
01
00
10
00
00
00
10
00
01
10
11
10
11
11
00
00
00
00
10
10
10
10
01
00
10
11
00
00
00
10
00
00
00
00
11
10
00
01
00
00
10
10
01
10
10
01
11
00
00
11
00
10
00
00
10
11
00
11
10
00
10
11
00
00
10
11
11
10
00
00
00
10
11
00
00
10
10
01
01
11
11
10
01
10
10
00
11
10
00
11
10
01
00
00
10
00
01
11
00
10
10
10
10
10
10
00
11
10
01
10
01
10
10
00
10
01
01
11
11
10
00
10
00
01
10
10
11
10
01
00
10
00
01
11
01
10
01
00
11
10
10
01
10
10
10
00
00
11
10
01
10
10
01
00
00
00
10
10
00
00
11
00
10
00
00
01
00
11
01
11
11
10
00
00
11
11
11
01
00
00
01
10
10
11
00
00
00
11
01
10
10
00
11
01
11
00
11
10
10
00
00
00
00
11
10
10
01
10
01
11
11
10
10
00
00
01
01
10
10
00
10
00
11
00
01
00
01
11
11
00
10
11
00
10
10
01
00
10
01
11
00
01
10
01
00
11
10
00
00
10
01
00
11
00
00
11
10
01
10
00
00
11
00
00
10
00
00
10
01
00
00
00
10
00
00
10
00
00
10
00
11
11
10
00
00
11
00
11
10
01
01
11
00
10
01
00
00
10
01
10
10
00
11
10
11
01
00
00
10
01
00
11
11
11
01
01
00
10
10
01
00
10
11
10
00
00
10
00
00
00
10
01
10
10
10
00
11
11
01
01
01
11
10
00
00
10
10
00
01
10
01
01
10
01
10
00
01
01
11
00
11
10
11
10
01
00
11
10
00
01
10
10
00
10
11
10
00
01
11
00
00
01
10
10
10
10
00
00
10
00
01
11
00
10
10
00
00
10
01
11
10
01
01
10
00
00
11
10
00
10
11
01
00
10
00
00
11
00
00
10
10
01
00
10
10
10
01
01
01
01
00
11
10
00
10
10
00
11
11
01
01
00
10
10
10
10
00
00
00
00
10
01
11
10
01
00
10
00
10
01
01
11
01
10
00
11
10
00
00
10
00
10
11
00
10
01
01
00
10
10
11
10
00
01
10
00
00
10
10
00
10
00
01
10
00
00
10
10
00
10
01
10
10
01
11
00
10
00
00
11
11
11
11
01
00
00
10
10
00
00
10
11
11
11
11
01
01
00
11
11
01
01
11
11
00
01
10
11
00
01
10
00
11
10
11
00
00
10
00
00
01
00
10
10
11
01
00
11
00
01
10
10
01
01
01
10
10
00
00
00
00
10
11
11
11
00
11
00
10
11
00
01
11
10
11
11
10
01
10
10
01
01
11
10
00
01
00
10
01
00
10
10
11
00
10
00
00
00
00
10
11
00
01
00
11
00
01
11
10
00
01
00
01
10
11
10
10
00
10
00
01
00
10
00
01
11
01
10
01
01
00
00
11
10
00
10
11
01
11
01
11
01
10
01
00
01
10
11
01
00
10
10
11
01
00
10
00
10
10
11
00
00
11
00
01
10
11
01
10
00
00
10
10
01
00
00
10
10
10
10
10
11
00
01
00
00
10
11
01
00
00
10
10
01
10
00
00
10
01
10
00
10
00
11
00
11
11
01
00
00
00
00
10
00
00
10
11
00
01
01
00
11
01
10
11
00
00
10
10
01
01
10
10
01
10
10
00
10
00
00
01
10
11
10
10
10
00
00
00
10
11
10
00
00
00
11
11
00
01
11
00
01
10
00
10
00
00
00
01
11
01
10
00
00
00
10
10
10
00
00
11
00
11
01
00
10
11
11
00
11
01
00
00
00
10
11
01
00
00
00
00
01
11
11
10
00
11
00
00
01
11
10
01
10
10
01
00
11
01
10
10
00
11
10
00
00
00
11
01
10
11
00
01
10
10
00
01
00
10
10
10
01
10
01
00
10
10
10
10
00
01
10
01
10
00
10
00
10
11
11
00
00
01
10
00
00
00
00
00
01
10
00
00
00
11
01
11
01
10
01
10
11
00
10
00
10
01
11
10
00
11
11
10
11
00
00
11
00
00
10
11
00
00
00
10
11
01
00
01
10
00
10
10
11
00
00
11
11
00
11
00
10
00
00
11
01
01
00
01
00
00
10
10
00
01
11
00
10
10
10
10
00
01
11
11
11
10
10
10
01
01
11
10
01
10
01
00
10
00
00
00
01
10
10
10
11
10
00
00
00
10
10
00
10
10
00
01
00
11
10
00
01
00
00
10
00
00
00
11
10
00
11
00
01
10
10
00
00
10
10
01
00
00
00
10
10
00
11
01
10
10
00
11
10
00
11
10
00
10
00
11
00
11
11
00
11
00
00
10
00
00
10
00
01
00
01
10
10
00
00
10
10
00
10
00
00
10
10
00
10
00
10
10
00
11
10
10
00
10
11
11
11
00
00
01
10
01
01
11
00
00
11
10
00
00
10
10
11
00
10
11
00
11
10
10
00
00
11
10
11
00
01
10
11
11
00
01
10
00
01
00
10
00
10
11
00
00
00
00
01
00
10
10
10
00
11
10
01
00
10
10
10
10
10
00
00
10
10
00
01
10
00
00
10
00
10
10
00
00
10
10
10
01
10
01
10
11
00
11
10
10
10
11
10
00
11
10
11
11
11
10
00
00
00
11
10
00
00
01
11
10
00
00
10
00
01
10
01
00
10
10
11
00
01
00
11
10
00
10
00
00
00
10
10
01
11
11
10
11
10
01
01
00
10
10
00
00
10
00
00
10
10
00
00
11
10
00
00
00
00
01
01
10
10
00
00
01
10
10
11
01
00
10
00
10
10
00
00
00
01
01
11
10
10
00
11
10
11
10
00
11
10
01
00
10
00
01
10
11
10
00
11
11
10
01
00
10
10
01
00
11
00
00
10
10
10
00
00
00
10
10
10
11
00
00
01
01
11
01
10
11
11
10
01
00
01
00
10
11
01
11
11
10
01
01
11
00
00
10
00
10
01
11
01
00
10
11
00
00
11
10
01
10
00
00
10
01
01
10
10
01
01
11
10
00
10
11
00
00
00
10
10
00
10
11
10
01
00
01
10
10
01
01
10
10
10
10
10
00
00
10
10
11
11
01
01
11
00
01
10
01
10
01
00
00
10
11
10
10
10
01
00
11
10
01
10
00
00
00
01
11
10
10
10
10
00
10
10
10
01
01
11
11
00
10
11
00
11
11
01
00
11
00
00
11
10
00
11
11
00
00
10
00
11
11
10
11
00
00
01
10
01
10
01
01
01
01
10
11
11
10
00
11
00
00
11
00
01
10
00
00
00
10
10
10
01
01
00
00
10
01
00
10
00
00
10
11
10
10
01
01
00
00
00
10
00
11
10
00
10
10
11
01
11
10
11
01
10
00
00
01
11
10
01
00
00
00
00
00
10
10
00
11
10
00
00
00
10
10
00
01
00
01
10
00
01
10
01
01
10
00
01
01
00
01
10
01
01
10
00
11
10
00
10
10
10
01
11
10
00
10
11
01
01
10
10
01
10
10
01
00
10
00
10
10
10
10
01
10
11
00
11
10
01
00
10
01
01
11
10
10
00
00
10
11
11
00
01
00
10
01
00
11
10
00
00
10
10
01
11
00
11
01
11
11
01
00
10
11
00
11
00
01
11
10
00
11
00
00
10
10
11
11
00
00
00
00
10
01
10
11
01
00
00
00
10
00
11
10
00
10
10
00
01
00
00
00
00
01
11
10
10
00
10
01
00
10
00
00
11
11
11
00
11
00
00
11
10
00
00
10
00
00
11
10
10
00
00
01
01
10
10
10
11
00
01
10
00
10
00
00
10
10
00
10
10
00
11
01
01
00
01
10
10
00
00
10
10
11
01
01
01
00
10
00
11
00
11
11
00
10
10
00
00
00
00
11
10
01
00
10
10
11
11
00
00
10
00
00
11
10
00
00
11
10
00
01
00
10
10
10
00
00
11
10
01
00
01
11
00
11
01
01
00
11
00
10
11
00
11
10
00
01
01
10
11
11
00
01
10
01
00
10
11
10
00
00
10
10
10
10
01
01
10
10
10
01
11
01
01
10
00
00
10
01
00
10
10
00
10
10
11
00
00
11
01
10
11
00
00
00
00
11
01
10
00
01
10
00
00
10
10
00
00
00
00
11
11
01
01
01
10
10
00
10
01
00
11
10
00
00
10
10
11
11
00
00
10
10
00
10
00
00
01
10
10
10
00
10
00
01
00
11
01
11
01
11
10
00
10
10
10
00
00
10
01
01
00
00
11
10
01
11
00
10
01
11
00
01
10
11
10
01
10
11
00
00
00
11
00
00
11
00
10
10
10
00
11
10
11
10
10
00
01
00
10
10
00
00
00
11
10
01
11
10
00
00
11
00
10
10
00
01
10
11
01
01
10
01
00
00
01
11
11
00
00
11
10
10
01
00
10
00
11
10
00
10
10
00
11
00
11
11
00
11
00
10
11
11
00
00
10
10
00
10
11
10
00
00
00
10
01
01
10
01
00
01
00
10
10
11
10
01
00
10
00
10
00
10
10
01
00
00
10
11
00
01
00
11
00
01
10
01
01
00
00
11
11
11
00
00
10
11
01
11
01
01
01
10
10
00
10
11
00
10
10
00
11
11
10
10
01
00
00
10
00
11
01
11
10
00
00
11
00
10
11
00
00
11
00
01
10
10
00
00
00
10
11
00
01
10
10
10
00
00
01
10
10
00
00
10
10
10
10
10
00
01
01
01
10
00
00
00
00
10
00
10
11
10
01
10
00
00
01
01
11
01
00
10
11
10
10
01
11
10
10
10
00
00
01
01
10
10
01
10
10
10
10
00
00
10
01
10
11
10
01
10
11
10
00
10
11
00
01
10
11
01
00
10
10
10
00
10
10
00
00
00
10
00
00
10
01
10
10
11
01
11
10
10
00
00
00
00
10
10
10
00
10
00
00
01
10
10
10
01
10
01
01
00
00
10
00
00
00
10
10
01
01
01
10
00
00
00
10
10
10
01
01
00
00
00
00
10
01
00
10
00
01
01
00
00
10
11
01
00
10
10
00
00
10
11
00
10
00
00
00
11
10
11
00
10
00
00
10
10
01
01
11
10
01
11
00
11
10
01
01
10
00
00
00
10
10
10
11
00
10
00
01
10
11
10
00
00
10
00
10
10
00
00
00
01
10
11
00
10
11
10
00
11
01
10
00
10
01
00
11
10
11
00
10
01
00
10
01
10
10
10
01
00
01
10
11
10
10
01
11
10
00
11
10
10
10
00
11
00
01
01
01
10
01
10
01
01
11
10
01
00
00
00
10
10
01
00
11
00
00
01
10
10
01
00
10
00
01
11
10
01
00
11
11
01
00
11
00
00
00
00
11
10
11
01
10
10
00
00
10
01
00
00
01
10
00
01
01
01
10
10
11
10
10
00
00
00
10
10
00
10
11
10
11
10
11
01
10
10
00
01
10
01
01
11
10
00
00
00
00
10
10
00
11
11
11
01
00
10
01
01
01
11
10
00
01
00
11
00
01
11
10
01
00
01
10
11
00
11
00
00
01
11
10
00
00
10
10
00
11
01
10
10
01
00
00
10
00
01
00
10
00
00
10
11
00
11
11
11
10
01
10
00
10
10
01
11
10
01
01
11
00
00
01
10
10
00
10
00
00
10
00
11
00
10
01
00
11
01
00
10
10
00
00
10
10
00
00
10
10
00
00
10
00
01
00
00
11
11
01
10
00
10
00
11
10
11
10
00
01
01
11
00
00
11
11
10
00
10
10
10
00
01
00
00
01
11
11
10
00
00
10
10
10
00
11
10
01
00
10
11
01
10
10
10
00
00
11
10
00
00
10
11
00
01
10
00
00
10
01
10
01
00
00
01
10
00
10
10
00
01
11
00
00
10
00
11
01
10
10
00
10
00
11
11
00
00
11
00
01
11
10
10
10
01
10
10
00
01
01
10
10
01
01
00
01
10
11
00
01
00
00
11
10
10
00
10
10
11
00
10
11
00
10
00
10
00
00
00
01
10
10
10
00
00
10
01
10
11
11
00
10
10
00
00
00
00
10
10
01
10
10
11
10
00
10
10
10
01
10
10
10
01
00
10
00
00
11
10
11
01
11
10
10
00
00
10
10
10
00
00
11
00
01
10
01
00
01
00
10
11
00
11
10
10
01
00
11
10
00
01
10
01
00
00
10
10
11
00
01
10
11
00
10
11
10
10
00
10
10
01
01
10
00
01
10
11
11
00
11
11
00
00
10
11
11
11
01
10
01
00
01
00
10
11
00
01
10
10
11
01
00
01
10
10
00
11
11
01
10
11
11
10
00
01
10
10
10
00
00
11
10
01
11
10
11
00
10
10
00
11
01
11
10
00
00
11
00
10
10
00
00
00
00
10
00
00
00
11
01
10
10
00
00
10
01
01
10
01
10
00
00
00
00
00
11
10
11
11
00
11
00
00
11
01
01
11
01
10
01
00
01
10
00
01
10
10
01
10
11
00
11
01
11
10
00
00
10
11
01
00
10
10
00
00
10
10
01
00
10
10
10
01
11
11
00
00
10
00
10
11
10
01
11
11
10
11
00
00
00
01
10
10
01
01
11
10
00
10
10
00
11
10
00
01
10
00
10
01
01
00
01
10
10
00
10
11
10
11
11
10
00
10
01
00
01
11
11
01
01
11
01
10
11
00
00
10
10
00
10
11
10
11
00
00
01
11
00
00
10
11
01
10
11
01
00
11
10
00
11
10
00
00
10
10
10
01
00
10
10
10
10
11
00
00
10
10
10
11
10
11
00
00
10
00
01
10
00
01
10
11
10
01
10
01
11
00
10
10
00
00
11
11
00
01
10
01
10
10
10
01
00
11
00
01
10
10
00
01
10
11
10
00
10
10
10
00
10
11
10
00
01
01
10
11
10
11
01
01
11
00
00
10
10
10
10
00
00
10
10
01
00
10
01
11
11
10
10
01
00
00
10
10
00
10
10
00
01
10
10
10
01
00
10
01
01
01
11
00
10
00
00
10
00
00
10
00
10
10
00
00
10
00
01
00
11
10
00
01
10
00
01
10
11
01
10
01
11
11
10
10
01
00
00
10
11
11
10
01
10
10
00
10
10
00
00
10
01
10
01
00
10
10
00
01
01
00
10
00
10
10
00
10
00
00
10
01
00
11
00
11
00
00
00
10
11
00
10
10
11
11
10
10
00
11
10
11
01
10
11
00
00
10
10
01
10
10
01
11
00
11
01
01
10
00
00
11
01
01
10
00
11
10
00
00
10
00
00
10
01
00
11
00
10
10
10
00
10
00
00
10
10
10
00
01
11
01
11
11
01
00
10
10
10
10
10
01
11
11
01
10
10
01
10
00
01
01
10
01
00
11
10
01
01
10
01
00
01
00
10
11
11
00
00
10
10
00
01
01
01
10
00
10
00
00
01
10
11
10
00
11
01
10
00
10
11
00
00
11
10
11
00
00
00
10
00
00
10
10
01
00
00
10
10
00
00
01
11
00
00
11
00
11
10
00
00
00
10
10
10
00
10
00
00
10
11
10
10
00
00
10
00
00
10
00
01
11
00
10
10
10
10
00
00
10
01
01
00
00
01
00
00
11
01
10
01
10
10
10
10
01
10
00
00
00
11
00
11
10
10
00
00
10
10
00
00
00
10
10
00
00
01
00
10
10
10
01
10
00
00
11
11
00
11
01
01
11
10
00
10
11
11
10
00
11
10
11
10
00
10
01
01
10
10
01
10
00
11
00
01
11
10
10
10
00
11
00
00
11
10
00
01
00
11
01
00
11
10
10
11
10
00
01
00
10
00
10
00
00
00
00
10
10
00
11
11
00
00
10
11
00
00
11
00
00
10
01
10
10
11
01
11
10
00
00
01
10
10
00
00
10
01
01
11
11
10
10
00
10
10
00
00
10
10
10
00
11
10
00
01
11
00
10
10
11
00
00
10
10
00
10
10
01
00
10
11
11
00
10
10
00
00
01
10
10
10
10
00
00
10
10
10
10
10
10
01
00
00
11
00
00
00
00
01
10
01
10
00
01
00
10
00
11
01
01
10
11
00
10
11
01
00
10
00
00
10
01
10
10
00
11
10
00
10
00
10
00
01
10
00
11
01
10
10
01
10
10
10
10
10
00
11
00
00
11
00
00
11
11
01
11
11
11
10
10
01
01
11
00
00
11
10
10
10
01
01
00
11
10
10
10
00
10
10
10
01
10
10
11
00
00
00
00
11
10
01
00
10
01
10
10
11
01
10
01
11
10
10
00
00
11
00
00
01
10
01
10
00
10
01
10
00
01
11
00
00
00
10
00
01
11
11
10
01
10
11
00
00
10
10
11
00
00
10
11
01
01
00
01
11
00
01
10
10
01
00
11
10
01
00
00
01
01
10
10
10
01
01
00
01
00
11
11
00
10
11
00
00
00
10
00
10
00
01
10
00
00
10
10
10
00
11
11
01
10
00
10
00
00
01
10
10
00
00
10
00
10
11
01
11
00
01
10
01
10
00
00
10
00
10
11
01
01
11
11
00
00
01
11
00
01
10
11
10
10
00
00
10
10
01
00
00
01
11
10
01
01
00
10
00
00
10
01
10
11
00
10
10
10
00
10
10
00
00
11
11
11
01
11
11
01
11
10
00
01
01
11
11
01
00
11
00
00
11
11
10
00
00
00
01
10
10
00
01
10
10
10
00
01
11
10
10
00
00
00
10
11
10
00
00
00
01
11
11
01
00
10
00
10
00
01
10
00
10
01
11
00
00
10
00
01
10
00
10
11
10
01
00
11
00
00
11
10
10
11
11
01
01
10
01
00
11
10
01
01
11
10
01
00
00
10
10
11
10
01
11
00
00
00
00
00
11
10
00
00
10
10
10
00
00
10
10
00
10
11
10
00
00
00
00
01
10
01
10
10
00
10
00
01
00
00
01
10
10
10
10
00
11
10
11
00
00
01
00
10
10
10
00
00
00
00
10
01
01
00
00
00
11
00
01
01
11
10
01
00
10
00
01
10
10
10
01
00
11
00
10
10
10
11
10
11
00
10
10
11
10
10
00
11
00
01
10
10
10
10
10
00
00
10
01
00
10
11
10
01
10
10
00
11
10
01
01
00
11
11
10
00
01
00
00
01
10
11
00
11
00
00
10
00
00
10
00
00
10
01
00
00
10
00
00
00
10
10
11
10
10
10
11
00
01
01
11
00
00
10
10
11
11
01
01
11
10
10
00
10
00
00
10
10
01
10
10
10
00
01
10
11
00
11
10
10
01
01
00
10
01
01
00
00
00
01
10
10
10
00
10
00
01
10
00
01
01
01
11
00
10
00
00
00
00
10
10
10
10
00
00
00
10
10
00
00
10
00
10
00
11
00
00
00
01
10
11
11
01
00
10
10
10
00
01
00
10
01
01
01
00
10
10
10
01
01
11
10
10
00
10
01
01
10
10
00
10
00
00
11
00
00
10
00
11
00
00
00
10
10
10
10
11
01
00
01
10
00
10
10
00
10
11
01
00
00
10
10
00
10
10
00
10
10
00
11
10
00
00
00
10
00
01
11
10
01
00
10
10
11
01
00
10
00
01
10
10
10
11
01
00
10
11
11
10
11
00
00
00
11
11
10
01
00
01
11
00
10
10
00
00
10
10
01
01
10
00
11
11
01
10
10
01
00
10
11
10
00
01
00
10
10
11
10
00
01
10
10
00
00
01
10
01
01
01
11
00
10
10
01
00
00
11
10
10
00
00
01
01
00
11
00
00
11
00
00
10
00
11
00
11
00
00
00
00
10
01
00
10
10
01
11
11
00
01
10
11
00
10
10
01
11
11
11
01
10
10
00
01
00
11
11
01
01
11
00
00
10
01
01
10
10
01
11
00
10
00
10
01
11
11
00
11
10
00
11
00
00
10
10
11
11
10
01
00
01
10
10
11
00
00
10
10
00
10
10
00
00
11
10
10
00
10
11
11
00
00
00
11
00
11
11
01
00
01
00
10
00
10
10
00
00
01
10
10
00
00
00
01
11
10
00
10
00
10
00
00
10
00
11
01
10
00
10
01
10
10
00
01
11
00
10
10
10
11
00
11
10
10
01
10
11
10
10
01
00
11
00
00
10
01
10
11
10
00
00
11
00
10
10
00
11
10
01
10
10
00
00
10
01
10
10
10
01
10
10
10
11
00
01
01
00
00
01
11
11
01
01
10
00
01
10
11
00
00
10
00
00
10
10
00
00
10
11
00
01
11
11
11
11
10
01
00
10
11
00
00
11
10
10
10
01
10
10
00
11
01
01
10
01
10
00
00
11
10
00
01
10
10
10
11
00
10
10
01
01
00
11
11
11
10
00
11
11
11
00
00
10
10
00
11
11
00
10
11
00
10
00
10
11
01
01
10
01
00
00
10
11
10
10
00
00
01
00
01
01
11
11
00
01
10
10
00
01
10
11
11
11
10
00
10
10
00
00
10
10
10
00
10
00
01
10
00
10
10
00
01
00
11
10
11
00
10
10
00
01
00
10
10
00
11
00
00
11
10
00
10
10
00
11
00
00
11
11
10
00
00
00
10
11
01
01
00
11
01
10
00
01
11
11
01
01
01
10
10
01
10
10
10
01
10
10
00
01
10
01
01
10
10
10
11
00
11
11
11
01
10
01
01
01
00
10
10
00
01
10
10
01
01
11
10
10
01
00
10
11
01
11
11
01
00
10
00
10
11
01
01
11
10
00
00
11
01
01
10
11
10
01
00
00
10
00
10
10
01
00
11
00
01
00
00
11
11
00
11
11
00
10
10
01
10
10
01
00
10
00
00
10
10
01
00
00
10
10
11
00
00
10
11
00
01
10
01
00
10
10
01
00
00
01
10
10
00
00
10
11
10
00
10
11
00
10
10
00
10
10
00
01
00
10
11
00
01
10
11
11
00
01
10
01
00
01
00
01
11
10
01
11
11
01
10
11
10
10
10
00
01
10
10
00
00
11
01
00
10
10
01
11
10
01
01
01
10
00
00
11
00
00
11
10
10
10
10
00
10
10
00
10
10
00
00
01
00
11
00
10
00
01
01
00
11
11
00
00
00
10
10
01
11
00
10
00
10
01
11
10
01
00
10
00
00
01
10
10
01
00
00
00
10
10
11
11
00
01
11
01
01
00
01
10
11
00
11
10
11
00
00
00
01
11
11
11
00
11
01
10
11
01
01
10
10
01
11
01
00
10
10
00
11
00
00
10
10
10
10
10
00
10
10
00
10
00
01
01
11
10
11
10
00
10
11
01
01
11
10
00
10
00
01
01
10
10
00
01
11
11
00
11
10
01
00
11
10
00
11
00
01
11
10
00
00
11
00
10
01
01
10
10
10
10
10
00
11
10
11
00
01
11
00
10
00
00
10
11
00
00
10
11
01
00
01
11
10
00
10
10
01
00
10
10
00
11
11
00
10
00
10
11
00
00
00
10
10
10
11
00
10
11
10
10
10
10
01
10
00
00
11
10
00
01
10
01
10
11
00
00
00
00
10
10
10
00
00
11
10
01
00
10
00
01
10
00
01
11
00
00
00
00
00
00
00
00
11
10
10
01
10
10
11
10
01
00
10
10
10
11
00
01
01
10
00
01
10
00
01
11
00
11
10
00
00
10
10
10
00
00
10
01
10
00
01
10
11
10
00
11
00
00
00
00
10
10
10
01
00
11
10
00
10
10
00
01
10
10
00
10
11
10
01
10
10
10
01
01
00
10
10
11
10
10
00
10
00
00
11
00
11
10
10
00
11
01
01
00
10
00
01
01
01
10
10
11
00
01
00
00
10
10
00
00
01
10
10
00
00
00
11
11
00
00
11
10
11
11
00
00
10
01
01
11
10
11
00
11
00
00
11
00
11
00
00
10
00
01
00
10
10
00
00
00
00
11
00
11
10
11
01
00
10
10
11
11
10
00
00
00
10
01
11
10
01
10
10
01
00
10
00
10
00
00
10
11
01
00
01
00
00
11
10
10
11
00
11
00
00
11
00
01
00
00
10
10
10
01
00
10
11
11
11
10
00
00
10
01
00
10
10
11
10
00
00
10
01
10
00
10
10
00
10
00
00
10
00
11
00
00
01
00
00
01
00
10
01
10
00
10
10
01
01
00
10
10
11
00
10
00
11
11
00
11
01
10
00
00
00
00
11
10
10
00
10
01
11
11
00
00
00
11
10
11
00
00
10
11
11
00
10
00
00
10
10
00
00
10
10
00
00
00
00
10
00
10
10
01
10
00
01
01
10
10
11
00
01
11
01
00
00
01
01
00
10
10
10
11
10
00
00
10
11
10
10
10
00
01
10
11
01
00
01
10
01
10
01
01
01
10
10
00
11
11
01
11
00
01
00
10
01
00
10
10
01
11
10
01
10
10
11
01
00
00
00
10
10
00
01
00
01
00
10
00
00
00
10
10
01
11
10
01
10
11
01
10
11
10
10
00
10
10
01
00
11
10
01
10
01
01
10
11
01
11
10
11
00
10
10
00
00
10
00
10
11
01
00
11
10
00
10
01
00
10
01
00
11
00
01
01
10
11
10
10
01
00
00
01
01
10
01
10
10
10
00
10
10
01
00
00
01
00
00
00
01
11
00
00
10
01
11
00
00
10
10
00
11
11
11
00
00
11
01
10
10
00
01
10
00
00
10
10
00
10
00
11
11
10
10
10
00
00
10
00
01
11
01
11
10
10
10
00
01
10
11
00
00
00
00
01
10
10
10
00
00
10
01
00
00
10
11
10
01
10
01
00
11
10
11
10
00
00
10
11
00
11
10
00
00
10
10
00
00
00
10
10
01
10
10
00
00
00
10
01
00
01
00
00
10
00
11
10
00
00
11
01
10
10
11
10
10
10
01
00
10
10
11
10
01
00
01
00
00
11
10
01
01
11
10
11
01
01
11
10
01
00
00
00
10
10
11
10
00
00
11
10
10
01
11
00
00
11
01
11
10
01
00
10
10
00
00
10
01
11
10
00
01
00
00
10
10
10
00
10
00
10
00
00
00
11
01
10
00
00
00
10
00
10
10
11
00
11
00
00
00
11
10
01
01
10
01
10
10
11
00
00
10
10
01
10
01
10
10
01
01
01
10
00
01
00
11
11
00
11
11
10
10
10
00
10
01
00
10
11
01
11
01
01
11
11
10
10
00
01
00
10
10
00
10
10
01
11
00
00
10
10
11
01
00
01
10
00
10
11
00
10
00
01
00
11
10
11
00
00
00
00
11
10
11
11
10
00
01
00
11
00
01
10
10
11
01
00
11
11
11
11
11
01
00
11
01
10
10
00
00
11
11
00
00
10
00
01
10
10
00
00
00
00
10
00
10
10
00
00
00
10
00
10
00
10
10
00
10
11
00
10
11
00
01
10
11
00
00
01
10
00
00
00
10
10
00
01
11
00
11
11
00
10
10
01
00
00
10
10
11
10
10
00
10
01
11
11
00
00
10
11
00
01
10
10
01
10
11
00
00
10
10
01
10
11
00
00
10
10
10
11
10
00
11
00
00
10
10
01
00
11
00
10
00
11
10
10
00
01
11
10
10
01
00
00
00
10
11
00
01
11
10
10
01
10
10
10
01
00
01
00
10
00
00
10
00
10
10
00
10
10
01
10
10
00
11
00
00
10
10
10
00
00
01
10
00
10
00
10
01
10
00
10
00
10
00
01
11
00
00
11
10
00
11
10
00
10
10
10
10
11
11
00
01
10
11
00
10
11
00
00
10
00
00
00
11
10
01
11
00
11
00
11
10
00
00
00
10
11
10
00
11
10
10
10
11
00
01
10
11
11
11
10
00
10
10
10
00
10
01
10
01
10
00
00
11
10
00
00
10
10
11
10
01
00
00
10
01
11
10
11
11
00
11
01
01
00
10
10
00
00
11
10
11
00
01
00
11
01
01
01
10
11
10
10
01
00
11
00
00
10
10
00
00
10
01
00
10
10
10
11
11
01
00
01
00
10
01
11
00
00
10
11
10
00
01
10
10
11
00
00
00
10
11
00
11
10
00
01
10
00
00
01
10
10
10
11
10
10
11
00
01
11
00
10
00
00
00
11
11
01
01
11
10
00
11
00
00
10
10
00
00
10
00
00
00
00
10
01
01
01
11
10
00
00
10
11
00
01
11
10
00
00
10
10
10
01
10
11
01
10
10
10
11
10
11
00
01
10
10
00
00
10
10
00
11
10
00
00
00
00
00
00
10
00
00
01
11
01
10
00
01
01
10
10
01
00
10
01
10
11
00
11
00
01
10
01
10
11
10
01
10
01
00
10
11
10
10
00
11
00
00
01
00
10
00
10
11
01
11
00
01
10
10
10
10
00
01
01
00
00
11
00
11
00
01
10
01
10
10
10
01
00
00
00
11
00
10
01
00
11
10
10
00
10
10
00
00
10
11
01
11
00
00
00
10
10
00
00
00
11
10
00
10
01
11
00
10
01
11
11
10
01
00
00
11
00
00
11
00
10
00
11
10
01
11
10
00
00
00
10
11
00
01
00
10
00
01
10
00
00
11
01
11
00
01
11
11
01
00
10
01
00
10
10
10
01
00
01
00
01
10
11
01
11
01
01
00
00
10
11
00
10
00
00
10
00
11
10
10
11
10
01
00
01
01
10
00
11
01
01
11
11
01
00
00
10
00
00
10
10
01
01
00
10
01
10
10
01
00
11
01
00
11
10
01
01
01
11
00
00
00
10
10
10
01
10
11
00
01
10
00
11
01
00
10
01
01
10
00
10
01
01
11
00
10
01
11
00
01
10
10
01
10
10
11
00
00
01
10
00
00
11
10
01
00
00
10
10
11
01
01
10
00
00
10
00
00
00
11
10
11
00
00
10
10
11
10
10
01
10
11
00
00
11
10
00
10
10
00
10
11
10
10
00
11
10
10
10
10
00
00
01
00
10
00
00
00
10
10
10
10
10
01
10
01
10
01
00
10
10
01
00
11
00
00
11
01
10
00
01
10
10
11
10
11
00
00
01
10
11
10
10
00
11
10
00
11
10
10
10
00
10
10
00
01
11
00
00
11
01
10
11
00
10
11
00
10
10
11
01
00
00
00
00
10
00
01
11
10
00
11
10
10
10
11
10
01
10
01
10
11
11
10
01
00
00
10
11
01
01
11
00
00
11
00
11
11
01
10
00
10
10
00
00
01
11
10
01
10
10
10
11
01
01
01
10
10
00
10
00
01
11
11
00
00
11
10
11
00
00
10
00
10
11
00
00
01
10
11
00
00
00
11
10
00
11
10
10
00
11
01
10
00
11
01
00
01
11
00
11
01
01
00
00
10
11
01
00
00
00
10
01
00
11
10
11
00
11
01
01
00
10
11
01
10
10
00
00
10
10
11
11
01
10
11
00
00
00
01
10
11
10
10
10
10
10
00
10
10
10
01
10
11
10
01
00
11
01
10
00
00
10
01
00
11
10
01
11
01
01
10
10
10
00
00
00
10
00
11
01
10
10
00
00
10
11
10
11
00
10
10
10
00
10
00
00
00
00
00
01
10
11
00
10
10
00
00
11
00
00
00
00
11
10
10
11
00
10
00
10
00
00
10
11
10
01
01
01
10
10
10
01
11
10
00
00
10
00
10
10
10
10
11
00
11
10
00
00
00
01
10
11
00
00
00
10
00
00
10
10
11
01
01
01
10
00
11
11
00
00
10
10
01
00
01
00
11
10
10
10
01
00
11
10
10
00
00
10
00
01
00
00
00
01
00
01
10
10
01
00
01
11
10
00
10
00
11
00
01
10
10
00
11
11
00
10
11
00
10
10
10
10
11
10
00
00
10
10
10
00
00
10
00
10
01
01
10
00
00
11
11
00
10
00
10
00
01
11
10
10
01
00
11
10
00
10
10
00
00
00
00
00
11
10
11
01
10
00
01
00
10
11
01
10
00
00
10
10
10
10
01
01
10
00
00
00
11
10
01
00
10
10
11
01
10
10
00
10
10
10
10
10
00
10
11
01
00
00
00
11
10
00
10
11
01
10
00
00
00
10
01
00
10
11
01
10
01
10
00
10
11
00
11
10
01
11
10
00
01
00
00
10
11
10
10
00
00
11
10
10
00
00
10
00
01
10
10
01
00
11
00
10
11
10
01
10
10
00
00
01
00
10
10
01
01
11
00
10
01
10
10
10
01
01
10
11
11
00
01
10
11
10
01
01
11
10
00
11
10
10
10
01
00
01
10
10
00
10
11
10
01
00
10
10
11
11
10
00
10
10
00
01
00
01
10
10
00
00
01
10
00
11
11
00
00
11
10
01
00
00
11
01
10
11
00
00
10
01
01
10
10
00
10
00
00
11
10
10
00
01
00
10
10
10
01
01
00
10
01
01
10
01
00
00
10
11
10
00
00
11
10
10
00
00
01
00
00
10
10
00
11
00
11
00
10
00
01
00
01
00
10
00
11
11
01
01
11
10
10
00
11
10
00
01
11
10
11
00
01
10
10
10
10
00
01
11
01
10
11
10
11
10
01
00
00
10
10
01
01
01
10
00
00
10
00
00
11
10
00
00
10
01
11
10
00
00
00
00
00
00
11
01
10
00
10
11
10
11
00
00
00
10
10
01
00
10
10
11
00
10
10
10
11
00
00
01
01
10
11
01
00
00
10
00
01
00
10
11
10
11
00
00
01
10
00
10
01
00
11
00
00
01
10
10
00
00
10
10
00
01
10
10
00
10
11
11
10
00
00
11
00
00
00
11
10
01
01
10
10
10
00
00
01
11
10
00
00
11
01
00
11
10
10
10
00
00
11
11
00
00
11
00
11
00
01
01
11
00
11
10
10
01
00
11
10
01
00
10
00
00
00
11
10
01
10
11
00
11
01
10
01
00
10
11
11
00
10
10
01
10
01
00
00
11
11
11
11
10
11
00
00
01
00
11
10
00
00
00
10
11
10
10
11
00
00
10
00
00
00
00
10
00
00
10
10
10
11
00
00
10
10
00
00
10
11
00
00
01
10
00
10
10
00
01
00
10
10
00
11
10
00
10
10
10
01
00
00
00
10
00
10
10
10
01
00
00
00
01
10
00
10
11
11
00
00
00
11
11
00
00
01
10
11
10
11
10
00
10
10
10
01
01
11
11
11
10
10
10
01
00
00
11
11
10
01
00
11
10
01
00
11
01
01
00
11
10
01
10
10
01
00
11
10
11
01
00
10
00
00
00
00
10
10
00
10
11
00
01
01
10
00
01
10
00
11
10
00
00
11
10
10
00
00
00
10
10
01
10
11
00
00
00
10
01
00
10
10
10
10
00
10
00
01
11
11
10
00
00
11
00
01
11
10
00
01
00
10
10
11
00
11
10
11
10
01
00
01
10
11
00
00
10
10
01
00
10
11
00
00
10
10
00
11
10
10
01
10
01
00
00
11
10
10
01
10
11
10
00
10
01
01
10
01
00
00
10
00
10
00
11
10
11
10
01
00
00
10
01
10
00
11
10
00
10
10
11
00
01
00
11
10
10
00
10
10
01
10
10
10
10
00
10
00
00
00
10
00
11
00
10
10
01
10
10
10
00
01
10
00
10
10
01
00
11
00
10
01
01
00
10
00
11
11
00
00
10
11
11
10
00
00
10
11
00
11
00
11
10
00
01
00
10
10
01
10
10
01
00
01
10
01
00
10
00
10
10
00
00
10
10
01
00
11
10
01
00
10
00
00
01
10
10
00
00
00
11
11
10
10
10
01
11
10
00
11
00
11
00
01
11
10
01
10
11
00
00
10
10
00
01
10
11
10
00
00
00
10
00
10
00
01
01
00
11
01
00
00
10
11
10
00
01
10
00
10
11
00
10
00
00
00
10
10
11
10
10
00
00
00
00
10
00
00
10
00
10
00
00
11
10
01
01
10
10
01
00
10
10
00
11
00
00
10
10
11
01
00
00
11
10
00
01
01
00
00
10
10
10
01
10
10
00
00
00
11
10
00
01
11
00
01
10
00
10
00
01
11
11
00
10
00
10
10
01
10
10
00
01
10
00
00
00
10
10
11
10
01
10
00
01
10
10
10
10
00
10
00
01
10
00
00
10
00
11
11
01
10
00
01
01
10
10
10
00
00
00
01
10
00
01
00
00
10
10
11
01
00
11
00
00
00
00
00
11
00
10
00
01
00
11
10
01
10
00
01
10
10
01
10
10
10
00
00
11
01
00
10
11
11
10
10
00
10
10
11
00
00
10
10
00
11
11
00
10
11
00
00
00
10
10
00
00
10
10
00
10
11
10
11
11
01
01
00
10
00
11
00
01
10
10
10
00
01
00
10
10
00
00
00
10
10
00
11
10
00
00
10
10
00
01
10
10
11
10
11
10
00
11
00
11
01
10
11
11
00
00
10
10
10
00
00
11
00
01
00
01
11
10
10
00
10
10
10
11
01
00
10
10
00
10
10
10
01
00
01
01
11
10
01
10
01
10
11
11
10
00
00
00
01
00
11
10
01
11
00
00
10
00
10
00
00
00
00
00
01
01
10
00
00
10
01
01
10
10
00
00
10
10
10
01
10
00
00
00
10
11
11
01
10
10
10
11
10
00
01
01
11
10
01
00
00
10
11
11
00
00
10
10
00
10
10
01
01
00
00
11
00
10
00
10
00
00
10
10
10
00
01
10
11
00
01
00
00
10
11
00
01
10
10
01
11
00
00
01
11
00
10
00
11
00
00
10
01
00
10
00
10
00
11
00
00
00
10
01
11
10
10
01
10
01
11
10
01
00
10
10
11
00
00
10
10
01
00
00
10
10
00
10
10
00
01
10
01
01
00
00
10
10
01
00
11
00
11
10
00
10
01
00
01
10
10
00
00
00
00
11
11
10
00
00
10
10
10
00
00
11
11
00
00
01
10
00
10
10
00
11
11
00
11
10
10
01
00
11
10
10
00
00
10
11
01
01
11
11
10
00
01
00
00
10
10
01
00
10
01
00
10
00
00
11
10
01
10
00
11
01
11
10
10
10
10
00
00
00
10
00
00
00
00
11
10
11
01
00
10
10
11
01
11
11
00
00
11
01
11
00
00
10
01
10
00
00
10
00
11
00
10
11
11
01
00
10
00
10
00
01
11
00
00
11
00
00
10
11
01
01
10
00
10
01
01
11
10
01
00
01
01
11
00
00
10
10
01
00
00
10
00
11
10
11
10
10
00
11
10
10
00
01
00
10
10
10
00
10
00
10
11
00
00
11
10
01
11
10
00
11
10
00
01
10
10
10
11
00
00
00
11
00
01
00
10
10
10
00
11
11
01
01
10
10
00
11
00
10
10
10
10
01
10
10
00
00
01
00
01
10
11
10
11
10
00
10
11
00
00
01
11
11
10
10
01
01
00
00
11
10
00
10
00
10
10
00
10
00
10
00
01
00
10
11
10
01
11
00
00
01
11
00
01
10
00
00
00
11
10
00
00
11
00
11
10
10
10
10
00
01
00
11
00
01
10
10
10
00
10
10
10
10
01
10
00
00
10
10
01
00
00
00
10
01
00
11
11
01
10
01
10
10
10
01
10
10
01
00
00
10
00
11
00
00
10
00
00
10
11
01
11
00
00
11
01
10
00
10
10
00
00
00
01
00
11
10
01
10
11
01
00
10
10
00
01
01
10
01
10
10
10
11
01
00
11
10
01
00
00
10
10
01
00
10
10
10
00
10
10
01
11
10
10
11
00
01
00
00
10
00
00
10
10
00
01
11
00
10
00
00
10
00
00
00
10
00
00
10
11
01
01
01
01
11
10
11
00
00
10
10
00
00
01
10
11
01
10
10
11
01
01
01
10
10
01
01
10
00
00
11
00
10
10
00
00
00
11
11
11
11
00
00
00
00
10
11
00
00
10
01
11
00
01
00
11
11
10
00
10
01
11
10
01
00
00
11
10
11
10
10
00
10
00
10
10
00
11
10
11
01
10
11
01
10
10
10
01
10
11
11
01
11
01
11
10
00
00
10
10
01
00
10
01
10
10
11
10
00
00
10
10
00
01
00
10
11
01
11
00
11
11
10
10
10
01
00
01
10
00
00
10
00
10
00
00
11
00
01
11
10
11
10
01
11
11
00
10
10
11
10
00
00
11
00
00
00
10
01
00
11
10
10
10
00
11
10
00
10
00
00
11
00
00
10
01
10
11
11
11
10
00
01
00
11
00
00
00
11
10
11
00
10
00
00
01
10
11
00
00
11
00
00
11
10
01
00
11
10
01
10
11
00
01
00
10
11
00
00
11
01
00
10
10
00
10
10
00
10
11
01
00
01
10
11
01
00
10
10
01
01
00
10
01
01
01
00
10
10
00
10
00
10
10
10
10
10
00
00
11
01
11
10
10
10
11
10
00
11
10
10
10
00
00
10
00
00
10
11
10
00
01
11
00
10
10
10
11
00
01
00
01
00
00
00
10
10
01
10
10
00
00
11
11
10
01
01
00
10
11
00
10
10
11
00
10
10
10
00
01
10
00
00
10
11
10
00
00
01
01
01
00
10
00
10
11
00
00
10
11
00
01
00
10
10
00
00
01
00
01
10
00
10
10
01
01
11
10
01
10
10
00
00
10
10
01
00
11
10
01
00
10
00
00
00
11
01
00
10
01
00
10
10
10
11
01
11
11
10
00
01
00
11
10
01
00
00
10
10
01
01
11
00
11
10
00
00
01
11
11
00
00
00
10
00
00
11
11
01
01
10
01
10
00
10
01
00
01
10
10
01
00
11
10
00
11
00
10
01
01
01
00
10
10
11
00
01
00
10
10
00
00
00
10
00
01
00
10
10
10
11
11
00
11
01
01
11
00
00
11
10
11
00
00
10
11
11
10
11
00
00
10
10
00
00
00
10
01
00
10
10
00
00
11
00
10
10
00
00
00
00
10
11
00
00
10
00
01
01
11
00
11
10
00
11
01
01
00
00
10
00
11
11
01
00
00
10
00
11
10
01
00
00
11
01
00
11
10
10
01
00
00
11
00
00
10
10
00
10
10
10
00
11
00
11
00
10
10
10
00
00
11
11
00
00
11
00
10
00
00
10
10
11
00
00
11
10
10
00
00
10
11
10
10
11
11
00
01
10
00
01
01
01
11
00
00
10
10
10
01
00
11
01
01
00
11
10
00
00
10
00
11
00
11
01
10
10
11
10
10
00
00
01
01
10
10
10
01
00
01
00
10
10
11
00
10
00
11
00
10
00
01
11
11
10
00
10
01
10
01
10
11
10
11
11
00
00
00
01
11
11
01
11
10
11
10
10
10
01
00
01
10
10
00
10
00
10
10
00
00
00
10
00
10
10
01
00
10
01
00
10
00
01
10
10
00
10
00
00
00
00
01
10
11
10
01
01
00
00
10
01
01
10
11
10
01
00
00
00
00
11
10
01
11
11
01
00
00
00
10
00
00
11
10
00
00
00
10
00
11
11
10
01
01
11
11
01
01
11
00
00
10
11
11
00
00
10
10
00
10
10
01
10
11
10
10
00
00
00
00
10
11
01
11
00
10
01
11
10
11
10
00
00
00
00
01
00
10
00
11
00
01
11
10
00
10
10
01
10
10
11
01
00
10
00
01
01
10
10
00
00
10
11
10
00
01
10
00
00
00
10
11
01
00
10
10
10
10
00
00
00
10
10
01
01
01
10
10
10
11
00
00
00
10
11
00
11
11
01
10
01
10
10
00
00
00
11
10
00
10
01
10
10
00
10
11
00
10
10
00
00
10
00
00
01
10
10
10
01
10
11
00
00
00
10
10
10
11
10
11
00
00
11
11
00
10
10
00
00
00
00
11
00
10
10
10
00
00
10
00
00
10
10
11
00
10
00
00
10
10
01
11
10
01
00
11
00
01
11
10
10
10
00
01
10
00
01
10
10
00
10
10
00
00
00
11
10
11
00
00
10
01
10
00
10
10
11
00
11
00
00
00
01
10
00
00
10
10
11
01
00
00
01
01
10
10
00
10
00
01
11
11
10
01
01
10
00
01
00
11
11
01
00
00
10
11
10
01
00
01
10
01
10
01
01
10
00
10
11
00
00
10
01
10
11
00
11
11
10
00
11
10
00
11
10
10
10
00
10
01
00
10
10
11
00
01
01
00
10
10
11
10
01
00
10
01
10
10
00
10
01
10
11
10
00
00
00
01
00
11
10
10
00
11
01
10
00
00
10
01
10
11
11
11
00
10
01
00
00
00
00
11
10
10
10
11
00
01
10
01
00
11
00
10
01
00
00
10
01
01
00
11
11
00
10
00
10
10
01
11
10
01
10
00
01
11
00
11
10
00
11
10
00
00
00
10
00
10
00
01
01
10
11
11
00
11
00
00
11
10
10
11
00
10
01
00
11
10
00
00
10
01
00
00
10
10
01
00
10
00
11
00
10
10
00
11
10
00
01
00
01
11
00
11
10
10
10
10
01
00
11
01
00
11
00
10
10
10
01
10
00
10
10
10
00
00
11
10
11
00
10
00
00
00
00
11
10
10
10
00
00
11
00
00
11
00
00
01
01
10
10
10
00
10
00
11
00
01
00
00
11
10
11
00
10
10
01
01
10
01
10
00
00
10
00
10
10
10
01
01
10
00
10
10
10
00
00
11
00
01
10
01
10
00
10
00
00
10
11
00
00
10
10
10
10
10
10
11
11
01
10
10
01
00
11
01
00
10
11
00
10
10
00
00
10
10
00
11
10
11
00
10
10
10
10
00
00
11
11
00
00
10
10
00
00
10
01
11
10
11
01
10
01
10
10
00
00
00
11
10
00
11
10
11
11
01
00
00
10
01
11
10
01
00
11
10
10
01
01
10
10
10
00
10
11
00
10
11
10
11
11
10
10
00
10
00
11
11
11
00
00
10
11
00
01
00
10
10
00
01
00
01
10
01
00
01
11
00
00
11
10
00
10
10
10
00
10
01
00
00
00
00
11
10
00
10
01
00
11
01
10
10
00
11
00
00
11
00
00
11
01
10
01
01
10
00
11
10
00
01
10
00
11
10
01
00
10
10
10
01
00
00
10
11
01
10
10
10
10
11
00
00
11
00
10
00
00
10
01
11
10
00
10
10
01
10
00
00
10
11
00
00
01
10
11
10
00
10
00
00
01
00
10
00
10
10
00
10
10
11
00
00
10
10
01
11
10
11
11
01
10
01
00
10
11
00
11
10
00
00
10
00
11
00
00
00
00
01
10
10
11
01
10
11
11
01
00
00
11
11
10
00
01
00
10
01
00
10
00
01
10
00
00
00
10
10
10
10
00
01
01
11
01
00
00
11
00
10
10
00
00
01
00
10
00
00
11
10
00
10
00
10
01
00
00
11
00
00
10
10
11
00
01
00
10
10
10
01
00
11
01
11
00
00
00
00
11
10
11
01
11
11
00
00
11
10
00
01
00
01
00
00
10
10
00
00
11
10
00
00
01
00
10
00
00
11
00
10
10
01
00
10
00
00
00
10
00
10
00
10
10
00
01
00
10
00
01
00
10
01
01
11
10
10
01
00
10
11
00
00
10
10
01
10
10
01
10
10
11
00
11
10
01
00
10
00
00
10
01
11
10
00
10
10
10
10
00
00
10
10
11
00
11
00
00
00
01
10
00
00
11
10
10
00
11
10
01
11
00
11
00
00
01
01
10
10
00
00
10
10
11
01
11
11
10
00
01
01
00
11
10
01
00
00
01
10
00
00
10
11
01
01
00
00
10
11
01
00
10
11
10
00
10
10
00
01
10
00
10
00
01
00
10
10
10
00
10
10
00
00
11
11
01
10
01
11
11
10
10
00
01
11
00
11
10
00
00
00
10
10
00
01
01
11
00
10
10
11
00
00
00
01
10
10
00
11
10
01
10
10
10
10
10
00
11
00
00
10
11
10
00
11
00
01
10
10
01
11
11
00
00
00
10
01
10
10
00
00
10
00
00
11
01
00
10
10
01
11
10
01
00
00
00
11
10
10
10
01
00
00
00
00
01
11
01
01
11
11
00
00
01
10
10
10
10
00
10
10
00
01
10
10
10
00
11
01
00
01
00
00
10
00
00
11
00
00
00
10
00
10
01
10
10
10
01
10
01
11
10
10
10
10
00
00
11
10
11
00
01
00
01
10
10
10
01
10
10
11
01
01
00
10
00
11
11
01
10
11
00
11
01
01
10
10
00
10
11
00
00
10
10
11
00
00
11
10
00
10
01
01
00
11
10
10
01
00
10
00
00
00
11
10
01
10
00
00
01
00
10
00
00
00
00
10
10
10
10
00
10
10
11
10
11
11
10
10
00
01
10
11
00
11
10
01
01
00
10
00
11
10
01
00
11
00
01
01
00
00
10
10
10
10
11
00
10
00
10
10
10
00
10
00
01
10
00
11
10
11
10
11
01
00
10
10
10
00
01
00
11
10
00
01
00
10
10
01
01
01
10
11
10
11
10
10
10
01
10
01
00
10
11
00
11
00
00
10
00
10
00
01
10
00
00
11
10
01
10
11
10
00
11
00
10
10
10
00
11
00
00
00
10
00
10
10
10
10
10
10
00
11
10
01
00
00
11
11
00
10
00
00
11
11
00
10
10
00
01
01
11
00
00
01
00
00
10
00
10
10
10
00
00
10
10
00
00
01
00
10
00
10
01
10
01
01
00
00
11
10
11
01
10
00
10
10
00
11
10
11
10
10
01
00
10
00
00
01
00
11
01
00
10
10
10
01
01
11
10
11
00
11
10
00
00
10
01
11
10
00
00
10
11
10
11
00
10
11
11
01
11
10
01
00
00
10
00
01
10
10
00
01
11
00
10
01
11
10
01
11
11
01
11
01
00
10
01
10
01
01
10
11
11
01
01
01
10
01
01
10
10
00
00
11
11
00
00
01
11
10
01
00
10
10
11
00
00
10
10
10
01
00
00
01
10
11
01
00
00
00
10
00
01
11
11
10
00
01
10
01
01
11
10
00
11
00
00
10
10
01
00
10
00
11
10
00
01
00
01
11
10
10
00
00
10
10
10
10
11
11
00
00
11
10
10
00
00
11
10
00
00
10
10
00
11
10
10
10
10
01
11
00
00
00
00
10
01
10
10
10
00
00
00
00
00
00
10
00
11
00
00
01
00
00
11
10
00
10
11
00
00
10
11
10
11
00
00
00
10
00
00
11
10
10
00
01
00
10
11
00
01
10
10
00
10
01
10
01
00
10
10
10
10
10
11
00
01
10
11
10
11
00
10
11
00
10
10
00
01
10
00
01
00
10
00
10
10
11
10
10
10
10
10
10
01
11
11
00
10
11
01
00
10
01
10
11
10
00
10
10
01
10
10
01
10
10
11
11
00
00
10
01
10
10
11
11
01
01
00
00
11
10
00
00
11
11
00
10
10
11
11
10
00
00
11
10
00
00
10
01
00
00
11
00
00
00
10
10
00
10
10
01
00
00
11
01
00
11
00
11
11
00
10
11
11
01
10
10
00
00
00
00
10
10
11
01
00
11
01
10
00
11
10
01
00
11
11
00
10
00
10
11
10
00
11
10
11
10
00
00
11
11
01
10
10
10
11
00
00
01
10
00
01
10
11
10
11
00
11
10
01
00
11
00
00
10
11
00
11
10
01
10
10
11
10
00
00
10
10
10
00
00
10
10
10
00
00
10
00
01
00
10
10
00
10
00
10
11
00
00
00
10
00
01
01
11
10
00
01
01
10
01
10
00
11
01
01
10
00
00
10
00
00
10
10
00
10
10
00
10
01
10
00
10
01
10
10
00
00
00
10
10
10
00
00
10
10
01
00
11
01
00
10
10
11
00
00
10
10
01
11
11
01
10
11
10
00
00
00
10
10
10
00
01
00
01
01
10
11
00
00
01
11
11
01
00
10
00
01
10
00
01
01
11
00
11
00
11
00
00
10
11
11
10
00
01
01
00
10
10
00
01
10
11
10
00
00
11
01
00
00
01
00
10
00
11
00
01
00
11
10
00
10
10
10
11
10
00
11
10
10
11
01
11
10
11
00
01
01
10
10
01
00
10
10
00
01
01
11
00
10
00
01
00
00
11
10
01
00
10
00
11
10
01
00
10
10
10
00
00
10
10
00
10
10
10
11
00
00
00
11
00
10
00
00
11
01
00
11
01
10
10
01
11
00
00
01
10
10
11
01
00
01
00
10
00
00
00
00
10
00
11
00
10
10
00
10
11
00
01
11
11
00
10
10
11
00
00
10
10
11
00
00
11
00
01
11
01
01
11
10
11
00
01
10
00
10
01
01
00
01
10
11
00
00
10
11
11
00
00
11
10
10
10
01
11
10
00
00
10
00
00
00
10
10
10
11
00
01
00
10
10
00
10
01
10
01
10
01
00
10
10
00
10
11
00
00
00
10
11
11
11
10
11
00
00
10
11
10
11
00
00
11
10
00
10
00
01
10
10
01
10
01
01
01
11
11
00
10
01
11
00
01
11
00
11
11
00
00
10
10
10
10
00
00
00
11
10
00
00
00
00
10
11
01
01
10
00
11
11
00
00
10
01
00
10
11
00
00
00
00
11
00
10
00
01
11
01
00
10
00
01
00
00
00
10
10
00
00
10
11
11
10
10
10
11
11
00
00
00
10
11
10
00
00
01
01
01
01
10
11
10
00
11
11
00
00
00
10
11
01
10
10
00
00
01
10
11
00
00
00
10
00
00
00
11
11
00
10
10
00
11
01
11
00
00
00
11
01
11
10
00
11
00
01
10
10
00
01
10
11
10
00
11
11
10
01
10
11
10
00
00
00
00
10
00
10
00
01
10
00
00
01
00
11
00
00
00
10
00
10
10
01
00
00
01
11
00
00
01
10
00
11
00
10
10
10
10
00
00
00
01
00
10
11
10
11
00
10
00
01
10
00
01
00
01
00
10
00
00
10
11
10
01
10
01
11
00
01
00
10
10
01
01
11
10
01
01
00
10
00
11
10
00
10
01
00
01
01
01
10
00
11
01
00
10
11
00
10
10
00
11
10
01
00
00
10
10
11
10
00
00
10
10
10
01
00
10
01
10
00
00
11
10
00
01
00
11
00
11
01
01
10
01
10
11
10
00
00
10
10
11
00
01
10
11
11
00
00
10
00
00
11
11
11
00
10
10
00
10
01
00
00
00
00
10
00
11
10
01
00
00
10
10
10
10
01
00
11
10
00
01
01
10
00
10
10
00
10
11
00
10
10
10
00
10
00
11
10
00
10
10
10
00
11
11
01
01
11
11
11
01
11
10
00
01
11
00
00
00
01
00
10
11
11
00
01
10
11
10
10
10
00
00
10
00
00
00
10
00
01
11
10
01
10
00
10
11
11
01
00
01
10
01
00
01
11
10
00
00
10
01
00
10
10
11
10
10
10
00
10
10
00
01
10
10
10
01
10
11
10
10
10
11
00
10
10
00
11
10
00
00
11
00
00
11
10
01
01
00
00
01
10
10
01
00
01
01
10
01
10
00
10
10
01
10
11
01
11
00
11
10
00
10
10
11
01
00
11
00
10
10
01
10
11
00
00
00
10
10
00
11
10
00
01
10
00
00
10
01
10
11
01
00
11
11
01
10
10
01
01
10
10
01
10
00
11
01
00
00
00
00
10
10
10
11
10
10
00
00
10
01
00
01
11
00
10
01
11
10
00
00
11
10
00
01
11
10
10
00
00
10
10
10
00
00
11
01
10
10
01
11
00
10
10
01
01
00
00
11
00
10
00
01
10
00
10
10
00
11
00
00
10
10
00
10
00
11
10
00
00
00
11
10
00
10
10
01
10
00
00
00
10
00
10
10
01
01
00
10
11
11
11
11
11
01
11
11
00
10
11
00
00
00
11
10
00
00
01
11
10
00
01
10
00
10
10
10
11
00
01
00
00
11
11
01
00
00
11
00
10
00
11
10
01
00
01
11
10
10
10
01
10
10
00
10
11
00
00
00
01
10
01
01
01
11
00
11
00
11
10
11
00
01
11
10
10
10
00
00
10
10
10
10
10
00
10
11
01
01
11
11
10
11
10
00
01
11
10
00
01
01
10
10
10
11
10
00
01
00
11
10
01
10
00
00
01
01
10
11
00
11
00
10
11
00
10
00
00
10
11
10
10
00
00
10
10
11
00
00
00
00
11
10
10
00
00
00
00
11
00
10
00
00
10
01
11
11
01
10
00
00
00
10
00
00
10
11
00
10
00
01
00
10
00
10
01
10
00
10
00
00
00
11
01
00
10
10
00
01
00
01
10
10
01
00
10
10
01
10
10
01
01
11
10
10
00
00
10
10
00
01
11
00
00
11
11
01
10
00
00
10
11
00
01
11
10
00
00
10
10
11
01
10
10
01
00
00
00
11
11
01
00
11
10
01
00
00
00
11
10
01
10
10
01
11
01
11
11
00
11
00
00
00
10
11
00
01
10
10
00
11
00
00
01
10
00
01
00
00
11
10
00
10
00
11
10
10
11
00
00
11
10
10
10
10
00
10
10
00
00
00
10
00
10
00
00
10
00
11
11
00
00
00
00
00
10
10
00
10
01
00
10
00
11
01
00
01
11
10
00
00
00
10
01
00
10
10
00
10
00
10
11
01
00
00
10
01
00
10
10
00
01
00
01
11
11
01
00
10
11
00
01
00
10
11
11
10
00
10
11
10
11
11
00
00
10
10
10
10
10
01
00
10
00
11
00
10
11
01
10
01
00
10
00
10
10
01
00
01
00
10
01
01
01
01
10
10
00
01
11
10
01
00
00
10
00
00
00
11
10
10
10
10
11
10
00
00
11
10
10
11
01
00
11
00
00
00
01
11
10
11
11
00
10
01
00
11
11
00
10
10
01
10
00
00
01
10
10
00
00
00
01
10
10
10
00
11
00
10
00
10
10
01
01
00
00
00
00
11
00
11
10
10
00
10
10
01
00
10
00
11
00
01
01
10
11
00
10
11
01
00
10
10
00
11
00
11
00
11
10
10
10
00
11
10
01
01
00
00
10
11
00
00
10
10
00
10
00
01
00
11
00
00
10
10
10
00
11
10
10
00
00
10
00
11
00
01
00
10
00
00
10
00
10
10
10
01
11
00
10
00
00
00
00
00
10
11
11
00
00
01
10
10
00
11
01
10
10
10
00
00
01
01
10
10
10
01
00
10
00
10
00
10
10
10
10
11
11
01
01
00
00
00
10
10
01
01
01
00
10
00
11
10
00
10
11
00
00
00
10
00
00
10
01
10
11
10
01
01
11
00
10
10
00
01
01
11
10
00
10
00
10
11
11
10
01
10
11
10
00
00
10
10
00
10
11
00
11
10
00
10
11
00
10
00
00
00
00
00
00
10
10
10
10
00
10
11
00
01
11
01
00
11
11
00
11
11
11
01
01
01
00
10
00
00
10
11
00
01
10
11
11
10
00
01
01
11
01
10
10
00
00
00
10
01
00
01
10
11
01
11
00
00
10
10
10
00
10
00
10
00
11
11
00
11
10
00
00
11
00
11
01
10
10
01
11
10
01
00
01
11
11
00
01
10
10
11
00
11
01
00
10
00
00
10
10
01
10
10
10
10
01
00
00
10
00
00
00
10
10
00
11
10
00
00
00
00
00
10
00
01
11
10
00
11
10
11
11
00
11
00
00
00
11
10
00
10
10
10
10
10
10
00
01
01
00
00
10
11
00
11
10
00
10
10
01
01
10
00
00
10
10
11
10
10
00
00
10
00
00
10
00
10
00
10
01
01
10
01
00
01
11
00
10
00
00
10
10
01
10
00
00
00
00
10
10
10
10
01
01
00
00
00
11
00
00
10
10
11
10
00
00
11
11
00
01
00
00
10
10
01
00
10
10
11
10
00
01
10
11
00
01
11
10
00
01
00
10
10
00
00
11
10
00
00
11
01
11
10
00
11
00
00
01
00
11
00
10
10
00
01
00
10
10
11
01
10
11
00
10
01
10
01
01
11
01
11
00
11
11
01
11
11
00
00
10
00
00
10
10
00
11
11
00
11
01
00
00
00
10
10
01
00
10
00
01
10
11
00
00
10
10
00
10
11
10
11
10
11
10
00
11
11
01
00
00
10
00
11
10
00
01
11
00
00
01
11
01
10
00
11
00
00
01
11
11
00
01
10
00
00
00
00
10
01
01
10
11
11
00
10
10
10
01
10
10
11
01
10
10
10
10
00
10
10
00
00
10
01
01
10
01
00
00
00
10
01
00
10
10
11
11
00
00
11
01
11
10
00
01
01
00
00
00
11
10
11
00
00
10
11
00
11
11
00
00
01
00
00
00
10
10
00
10
10
10
01
00
00
00
00
10
00
00
10
11
11
00
00
01
01
00
00
01
00
10
10
10
10
10
00
01
00
10
01
00
01
00
11
10
11
01
11
11
10
00
01
10
10
01
01
11
10
10
11
01
11
00
01
10
10
00
10
10
01
11
10
00
01
01
11
10
01
00
00
11
11
01
10
10
01
10
10
01
01
10
00
10
01
10
10
01
00
00
11
00
10
10
01
01
11
10
00
00
00
00
00
10
10
01
01
10
00
00
11
00
01
11
00
00
10
00
00
00
10
01
01
10
00
10
01
11
10
00
10
00
01
01
00
00
00
11
01
00
11
10
00
10
01
10
00
00
10
10
00
01
10
01
00
11
11
10
01
10
11
10
00
00
00
01
10
10
10
10
00
11
00
01
00
00
00
10
10
01
01
11
00
11
10
10
01
00
10
00
00
10
11
01
01
01
10
10
00
10
10
00
11
10
00
10
01
00
10
10
00
00
01
00
11
00
00
00
10
01
11
11
11
11
00
00
10
10
10
10
01
01
10
01
10
01
00
10
11
01
10
11
01
10
10
11
11
00
10
11
01
00
01
00
01
00
00
00
10
10
00
10
10
01
10
11
11
11
00
00
01
01
11
00
10
10
00
00
10
11
00
01
10
01
01
00
00
11
00
01
10
11
10
10
00
01
01
10
00
10
11
10
01
01
10
00
01
00
10
10
00
11
10
10
01
00
11
01
00
11
10
11
00
10
10
00
00
11
10
00
01
00
01
00
01
10
00
00
10
11
01
10
10
10
11
11
01
10
10
00
10
00
00
00
10
01
01
10
10
00
00
10
10
00
01
11
10
11
00
10
00
10
00
01
11
11
00
01
00
11
10
00
10
10
01
00
00
10
00
01
10
10
01
00
00
01
10
00
00
10
10
00
00
10
10
10
10
00
01
00
10
10
00
11
01
11
10
10
10
10
11
11
00
00
10
00
00
10
10
10
00
00
00
11
10
10
11
01
00
10
10
10
10
00
00
10
10
00
11
01
11
01
01
11
10
00
11
11
00
11
10
00
11
00
01
00
11
11
00
10
10
10
00
01
10
01
00
10
00
01
10
10
01
00
11
10
00
00
00
10
10
00
00
00
10
11
00
11
00
00
00
10
10
10
01
01
11
00
01
00
00
00
01
10
10
00
01
00
10
11
00
11
10
00
11
10
10
00
00
11
10
01
01
10
00
00
10
11
01
10
11
00
10
10
11
01
00
10
10
10
00
10
10
10
00
11
00
00
10
00
00
00
10
10
00
00
10
10
01
10
10
10
00
10
10
10
00
10
00
10
01
10
01
01
01
01
01
00
00
10
01
01
11
11
01
01
10
10
10
11
01
01
11
10
00
00
00
10
00
00
11
10
10
00
11
10
11
10
00
10
01
10
10
11
10
10
00
11
01
11
01
10
10
01
10
10
11
00
00
11
00
00
00
01
00
01
00
10
11
00
11
10
00
01
00
00
10
11
00
01
00
10
10
10
10
00
11
11
11
10
00
00
11
11
01
00
10
00
00
10
10
01
01
10
10
10
11
00
10
10
00
10
11
11
01
10
10
01
11
10
10
01
10
10
10
00
01
11
00
01
01
11
11
00
11
10
01
00
10
10
00
10
10
00
10
10
00
10
00
11
10
00
01
10
10
10
10
01
10
00
10
00
10
11
10
10
00
00
01
10
10
01
00
11
00
10
11
11
00
10
11
00
00
00
11
10
01
10
11
00
01
00
10
10
00
00
11
10
01
00
11
01
11
00
11
11
00
00
11
01
00
10
10
00
10
10
00
01
00
10
11
01
10
10
00
10
11
10
11
00
01
11
11
10
10
00
01
11
10
00
00
10
10
11
10
11
10
01
10
01
11
10
00
00
01
10
01
00
00
00
10
01
00
10
11
01
11
00
10
10
10
00
01
00
10
10
11
10
01
10
00
01
00
00
01
10
10
00
10
10
10
01
00
00
00
10
10
10
10
01
00
11
10
00
10
01
01
00
11
01
01
10
10
10
01
00
00
00
11
10
01
00
00
00
00
10
10
11
00
11
00
01
11
00
00
10
10
00
01
11
00
10
10
10
10
00
10
11
00
10
10
00
11
10
01
01
00
11
11
00
00
01
01
10
00
00
11
10
00
01
11
01
10
00
11
00
11
01
01
11
00
10
11
11
10
00
00
10
00
11
10
00
10
10
01
00
10
01
10
10
10
01
00
00
00
11
01
10
10
01
00
01
01
10
10
01
00
01
10
10
00
00
10
10
10
01
10
00
10
00
00
00
10
11
00
00
01
10
10
01
10
00
10
10
01
11
10
10
10
00
00
11
00
01
00
10
01
10
10
01
00
10
01
00
11
10
10
00
01
10
11
10
10
10
11
10
01
00
00
00
10
10
10
11
11
00
01
01
10
01
00
00
10
10
00
10
10
01
11
01
00
00
00
00
00
10
11
11
01
01
00
10
00
10
01
11
00
00
11
11
00
00
10
11
10
00
01
10
11
10
10
11
01
10
00
11
10
10
10
11
10
00
10
01
00
00
00
10
10
01
00
10
10
00
10
00
11
00
10
10
00
00
00
01
10
10
00
10
10
11
01
10
11
00
10
01
00
00
10
10
01
01
10
10
10
01
10
01
10
11
10
10
10
01
11
00
00
10
00
00
00
00
00
00
11
11
01
10
10
01
11
00
01
10
10
11
10
00
00
10
10
00
00
01
00
11
10
00
10
01
10
11
00
00
10
11
01
10
01
00
01
11
01
10
10
01
00
10
10
00
10
11
00
00
00
01
01
00
01
00
10
11
10
00
01
10
10
10
01
10
11
10
00
10
10
00
10
00
01
10
01
00
00
00
10
01
10
10
00
10
01
00
11
11
11
00
10
00
00
00
10
10
00
00
01
11
01
00
10
01
10
10
10
00
00
10
00
10
10
10
01
10
00
01
10
00
00
01
10
01
00
11
10
00
10
00
00
11
00
00
00
10
11
10
10
10
01
10
11
10
00
00
00
11
10
10
00
11
10
10
00
00
11
11
10
00
10
11
00
10
11
00
11
11
01
00
10
01
00
01
00
10
10
00
00
10
01
00
00
10
11
00
01
01
11
10
01
11
00
01
10
10
01
00
10
00
10
10
10
01
00
10
00
10
00
11
10
01
10
00
10
10
11
10
10
00
00
11
11
00
10
00
00
11
11
01
01
11
11
00
01
01
00
10
11
00
00
11
10
10
10
00
00
00
00
10
10
10
00
00
11
11
00
10
10
00
10
00
00
10
10
10
10
11
00
00
10
10
00
10
10
11
11
10
00
10
10
11
10
00
01
00
11
00
01
11
10
00
10
10
00
00
10
10
11
00
10
10
00
10
00
10
00
00
10
10
10
10
00
00
00
11
01
10
11
10
10
11
10
00
01
11
10
00
00
11
10
00
01
01
10
01
11
00
00
10
10
11
00
01
00
10
11
00
11
00
01
10
00
10
11
01
00
10
00
01
10
01
01
11
11
01
10
01
10
00
10
10
00
00
11
10
00
01
11
01
10
00
01
00
10
10
10
00
11
01
11
10
10
00
11
01
11
00
00
11
01
11
10
00
10
10
00
11
10
00
01
10
00
10
10
10
10
00
00
00
00
10
00
10
10
10
10
10
00
00
00
00
00
01
11
00
01
01
00
10
11
11
11
00
00
11
00
11
11
00
00
00
00
10
10
00
00
11
11
00
10
01
10
10
10
00
01
11
11
11
00
10
10
00
11
10
00
11
10
11
00
10
00
00
10
10
10
00
01
11
11
10
01
00
10
00
11
10
01
10
01
11
00
00
11
11
00
10
10
01
10
00
00
10
10
00
11
00
10
10
10
10
00
00
01
10
01
11
10
00
10
10
10
11
00
10
00
00
10
10
00
10
00
11
01
00
10
10
01
01
10
11
00
00
00
00
01
11
10
00
10
11
10
00
01
00
00
00
01
10
10
01
00
11
10
00
01
01
10
10
10
00
00
01
11
10
00
00
00
01
10
00
11
10
00
00
11
10
00
00
01
00
00
10
11
00
00
01
11
00
00
10
01
00
10
11
10
00
00
00
10
00
00
01
00
10
10
00
11
00
10
10
10
01
01
11
10
11
10
01
10
10
00
00
10
10
00
01
10
00
01
00
00
00
01
11
01
00
01
00
00
11
10
00
00
11
10
00
00
00
10
11
00
00
00
01
01
00
10
10
01
10
01
00
00
11
10
01
10
10
00
00
10
10
10
00
11
11
00
00
11
11
00
11
00
00
10
10
10
10
00
11
10
00
10
10
10
01
00
11
01
00
10
10
00
10
01
01
11
00
00
00
10
00
00
11
10
00
11
11
10
11
00
01
01
10
10
00
01
10
10
00
11
11
01
10
10
10
00
10
01
01
10
11
10
10
00
10
00
00
01
11
10
00
01
11
11
00
10
10
00
11
00
10
10
00
01
10
10
10
01
00
10
00
00
11
10
00
10
01
10
11
11
01
00
00
00
00
10
11
01
00
10
01
00
00
11
01
10
10
00
10
10
10
00
00
10
10
00
00
10
01
10
01
01
01
11
00
11
00
00
10
10
01
00
00
11
00
00
10
00
00
11
10
00
10
10
00
10
00
00
10
11
10
01
01
00
01
10
00
11
10
00
11
10
00
10
00
01
11
00
01
01
00
10
10
10
10
11
01
10
00
00
00
10
11
01
10
00
01
10
10
10
11
00
11
00
00
11
10
11
11
11
00
00
10
00
10
10
01
10
10
00
10
10
00
01
00
01
10
00
10
11
10
00
00
11
10
10
10
11
00
00
00
10
10
00
00
00
11
10
10
01
10
11
00
10
10
10
01
00
01
11
11
00
11
10
10
10
00
01
10
11
10
00
00
10
10
10
10
00
11
10
11
10
01
10
00
10
10
01
10
10
00
00
00
10
11
00
00
00
00
10
00
00
11
10
01
00
01
10
00
10
01
11
10
00
10
00
10
10
10
11
00
00
01
10
00
00
10
01
01
00
01
10
11
00
11
10
10
01
00
00
00
10
10
10
01
10
01
01
11
10
10
00
00
10
00
11
10
01
10
00
10
11
10
01
10
10
00
10
00
10
11
00
01
11
11
00
00
00
10
01
00
01
10
00
00
01
11
01
11
10
01
01
00
10
10
01
00
11
10
00
10
10
00
10
10
00
10
10
10
11
00
01
00
10
00
01
01
10
10
10
10
01
01
00
01
11
10
10
01
00
11
00
01
10
11
00
00
01
10
00
00
01
11
00
10
01
01
10
10
10
11
00
00
11
01
00
10
01
00
00
10
10
11
00
00
00
01
01
11
10
01
01
10
10
00
01
11
00
01
00
11
00
10
10
00
10
00
01
10
00
00
10
00
00
10
10
00
00
10
11
10
00
11
10
10
00
01
00
00
01
10
11
10
00
01
10
10
01
00
01
11
11
00
00
00
01
01
11
00
00
11
10
00
00
11
10
10
10
01
11
11
11
11
00
10
10
11
00
01
10
10
11
11
11
01
10
10
01
00
01
00
11
10
10
11
00
01
11
10
10
10
10
01
00
11
10
11
01
10
01
11
11
00
01
11
10
00
00
11
00
00
11
10
00
00
10
01
10
10
10
00
11
11
01
00
00
01
10
01
10
01
01
10
10
10
00
00
00
11
10
00
00
11
11
00
00
00
10
01
10
10
10
01
11
10
10
10
00
10
10
01
00
00
00
00
00
11
10
01
10
10
10
11
01
10
00
00
10
10
11
01
01
10
01
11
10
00
10
10
00
00
10
00
00
01
00
00
11
01
01
10
00
00
00
10
10
01
00
00
11
00
00
10
11
00
00
00
00
11
00
11
11
10
10
10
10
00
00
10
11
01
00
00
00
01
00
10
00
01
01
10
00
10
10
10
11
00
01
10
00
00
10
10
10
10
00
10
11
10
11
01
10
10
00
10
01
00
10
01
11
10
00
01
10
00
11
10
10
11
01
00
10
00
11
10
00
00
10
11
01
11
11
10
00
00
01
10
00
01
11
10
01
10
00
11
10
01
11
00
00
01
10
01
00
10
01
10
10
01
10
10
00
01
01
10
10
00
00
00
10
00
10
00
00
10
11
00
10
10
00
11
10
01
00
11
01
10
00
10
11
00
01
00
10
10
10
01
01
10
10
00
11
11
00
00
10
00
10
01
10
00
01
11
10
10
11
11
11
01
00
00
00
10
10
00
00
00
10
11
00
11
00
00
00
00
10
10
10
00
00
01
11
10
11
01
10
10
01
01
00
00
11
10
00
00
10
11
11
00
01
00
10
10
00
10
01
10
10
00
00
01
10
00
00
10
00
00
00
00
10
00
01
00
10
11
00
10
10
00
10
01
01
10
00
00
01
10
10
11
10
00
00
00
00
10
10
00
01
10
10
00
00
00
10
10
00
11
00
11
00
00
10
00
00
10
10
11
10
11
00
11
10
01
11
10
11
01
00
10
11
10
01
01
10
00
01
00
11
10
00
00
10
01
00
00
10
10
01
11
10
01
10
11
01
00
01
11
00
00
10
00
00
00
10
11
10
11
11
11
01
01
10
10
11
00
00
00
00
10
10
11
10
00
11
00
10
11
01
01
00
10
10
10
00
11
10
10
11
11
11
11
01
00
11
10
00
10
01
10
10
11
10
11
11
01
01
01
10
01
00
01
11
10
00
01
11
10
10
00
01
10
01
10
10
01
01
01
01
01
10
11
10
10
10
00
00
10
00
00
00
10
10
00
00
10
00
11
00
01
11
01
00
11
00
00
01
10
11
10
10
00
10
01
01
10
10
10
10
10
00
00
10
00
10
11
10
00
10
11
11
00
01
01
00
10
11
10
01
10
00
01
10
01
10
10
00
10
10
00
10
10
10
00
11
01
01
10
00
10
00
01
10
10
10
00
01
00
00
00
11
01
00
11
01
00
01
01
10
11
00
10
10
10
10
00
10
10
00
00
10
10
10
01
00
00
01
00
11
00
10
11
10
00
00
11
10
01
00
01
00
00
10
10
01
01
00
10
11
10
11
00
10
00
11
00
00
11
11
10
10
00
00
01
11
10
11
11
00
00
00
01
10
00
00
10
10
00
00
10
11
00
01
01
01
00
10
00
11
10
11
01
00
10
00
00
01
10
11
10
00
01
10
10
01
00
11
11
10
01
11
10
00
00
00
00
10
11
01
00
10
11
01
00
10
10
11
00
01
10
00
00
11
10
10
10
01
00
10
00
00
00
10
00
00
10
11
10
01
00
00
10
10
10
00
11
10
10
11
10
00
01
01
10
00
00
00
01
10
10
00
10
10
00
11
10
10
01
10
11
10
00
00
10
10
01
10
10
11
10
10
00
01
00
11
00
10
10
00
01
01
11
10
10
00
10
10
10
10
01
11
00
10
00
11
10
01
10
01
00
00
00
10
10
00
01
10
00
01
00
11
10
10
01
01
11
11
10
01
01
00
01
10
10
01
10
11
00
00
10
00
10
10
00
00
10
00
11
00
00
00
11
11
11
11
00
11
00
01
00
00
01
10
10
01
11
10
01
10
10
10
10
10
00
11
10
10
00
01
00
00
11
00
11
11
00
00
11
10
11
10
11
10
00
01
00
00
00
00
00
11
01
11
10
01
10
00
00
10
00
00
10
10
10
01
11
00
00
10
10
10
11
10
10
00
01
00
00
00
10
01
10
10
00
11
10
10
11
00
00
10
00
10
10
00
00
00
11
00
10
00
00
00
11
00
11
10
00
10
11
10
10
00
00
11
10
01
01
00
01
10
00
10
11
00
01
01
10
10
00
00
00
00
11
10
10
00
00
00
10
00
10
11
00
10
10
00
00
10
00
01
00
10
10
00
00
10
10
00
00
01
11
00
01
11
01
00
10
10
10
10
10
00
01
00
10
10
00
00
10
01
11
10
10
10
00
00
01
10
11
11
00
00
10
01
10
10
10
01
00
11
10
11
10
00
01
11
00
10
10
00
10
10
00
00
00
00
11
11
00
11
10
01
10
11
10
01
10
00
11
10
00
00
11
10
01
11
00
11
11
11
00
10
10
00
10
10
11
00
10
10
10
10
01
11
10
10
00
01
00
10
00
00
00
01
11
11
10
10
00
01
10
11
11
00
01
10
01
10
11
00
00
10
00
01
11
01
00
00
11
00
01
10
11
10
10
01
10
11
00
10
11
00
00
10
11
00
00
00
10
10
10
10
11
11
00
00
11
11
00
01
00
01
00
10
10
00
01
10
10
00
11
00
00
00
11
11
10
01
00
01
00
01
01
00
00
11
01
00
10
11
10
10
00
00
01
10
00
00
10
00
11
00
11
10
00
11
10
00
00
00
11
11
00
11
10
10
00
01
10
11
00
00
01
00
11
10
00
00
11
01
00
00
10
01
00
10
10
10
00
01
00
11
10
00
00
10
10
10
01
00
10
11
00
11
01
00
11
11
10
00
00
01
10
01
01
10
00
11
10
00
00
01
00
00
00
11
11
00
11
00
10
00
00
01
10
00
01
10
11
10
10
10
10
01
00
00
10
11
11
01
10
01
00
00
10
01
00
11
11
00
00
10
00
10
00
10
11
01
00
10
10
00
10
10
01
10
10
10
00
00
10
10
00
10
10
00
00
01
01
11
10
00
01
10
10
00
00
10
11
11
00
11
00
01
00
11
10
11
00
10
00
00
10
00
00
10
00
01
00
10
11
00
10
11
00
10
11
00
10
01
00
11
10
00
00
10
00
10
00
00
11
00
01
11
10
10
10
00
11
00
00
11
10
10
10
10
10
11
10
00
00
00
00
10
10
10
11
00
01
11
11
00
10
10
01
10
10
00
01
10
10
01
11
10
01
11
00
10
11
01
00
11
00
00
10
00
10
10
11
00
10
11
11
11
00
11
01
10
01
11
00
00
01
11
00
01
10
00
00
01
10
11
11
11
00
00
00
00
00
10
10
01
00
00
00
01
11
10
10
01
11
11
00
10
11
10
01
10
00
01
10
01
10
10
00
01
11
00
01
11
00
10
11
00
11
11
01
11
10
00
01
10
01
00
11
01
00
00
11
10
00
10
00
00
01
00
10
10
11
01
00
10
00
10
00
01
10
10
10
10
00
00
11
00
00
00
00
00
00
10
10
00
00
10
10
10
00
01
11
10
00
01
00
01
00
11
11
00
00
11
00
00
00
00
01
01
10
10
11
01
00
10
00
01
01
00
10
00
11
10
01
10
00
00
10
00
10
00
01
10
10
10
10
01
11
00
00
10
11
11
10
11
11
10
01
00
10
00
10
10
10
01
00
00
10
10
11
10
00
00
10
10
11
10
00
00
00
10
11
10
01
00
00
11
10
00
00
00
11
01
00
01
11
00
10
10
01
10
10
11
10
01
10
00
00
00
11
10
00
01
00
00
10
01
01
10
10
00
01
11
01
11
10
00
01
01
11
10
00
00
10
01
10
11
10
11
00
00
10
11
01
10
11
01
10
10
01
10
10
00
00
11
00
00
01
00
00
00
10
10
01
10
10
00
10
10
10
10
01
01
00
01
10
00
10
10
00
10
11
00
01
00
11
01
00
00
10
01
01
10
10
10
10
00
10
10
01
00
00
00
11
11
00
10
10
10
10
10
00
11
11
10
00
01
10
00
00
11
11
11
01
01
11
11
00
10
00
00
10
10
00
00
00
10
10
10
01
10
00
10
10
00
00
00
10
00
10
10
10
10
10
11
01
10
11
00
10
00
00
10
10
10
00
00
01
10
01
11
10
10
01
01
11
01
00
11
11
01
10
10
00
00
11
00
00
11
11
00
11
10
00
01
00
11
00
00
10
11
00
10
00
00
01
00
10
00
10
00
11
11
00
10
10
11
00
11
10
10
01
00
10
11
10
00
00
11
10
10
01
00
00
01
00
10
10
10
00
11
00
00
11
10
00
01
00
10
10
10
00
10
10
11
00
00
10
01
00
10
10
00
11
11
01
00
00
11
01
11
10
10
00
00
10
00
11
11
10
11
10
01
01
00
10
00
00
10
11
00
01
10
10
01
11
10
01
10
10
00
00
01
11
10
00
10
10
00
00
11
01
10
01
00
00
01
11
00
00
01
10
00
10
10
01
01
11
01
10
00
10
00
00
10
10
10
11
00
11
10
11
10
11
00
01
00
11
00
00
10
10
01
10
00
10
00
10
00
10
00
10
11
00
11
00
01
10
10
01
01
10
11
10
01
10
11
00
00
00
10
10
00
00
01
10
11
11
10
10
11
00
11
01
01
10
11
01
10
10
00
01
10
10
00
00
10
00
10
10
01
00
00
10
00
00
00
10
10
10
10
10
10
00
00
00
00
10
10
00
01
11
00
00
00
10
00
01
10
10
00
01
10
10
00
00
00
10
10
10
11
10
11
00
10
10
00
10
11
01
01
00
00
00
10
00
00
01
10
00
11
10
11
00
10
00
01
10
01
01
11
10
01
10
11
11
00
00
10
11
01
00
11
11
10
01
00
00
01
00
11
10
00
00
10
00
11
00
10
10
00
01
10
10
00
10
00
01
11
01
11
10
11
00
00
00
00
00
11
11
10
10
01
01
00
10
00
10
10
10
01
10
00
01
11
00
00
00
10
10
10
10
01
00
10
00
00
10
01
00
11
10
10
11
11
00
10
00
00
00
10
00
10
10
01
00
00
10
10
10
11
00
01
00
00
11
00
11
01
10
10
10
11
00
01
10
10
10
10
00
01
01
00
00
10
10
10
00
10
10
10
10
01
10
11
01
10
00
00
10
01
10
10
00
10
10
00
01
10
10
10
11
00
01
00
00
11
10
10
00
00
11
00
10
01
00
00
10
00
01
10
11
10
10
11
11
01
01
11
10
10
01
00
00
11
10
01
01
11
01
01
00
01
11
11
01
00
10
10
01
00
10
00
01
11
01
10
00
00
11
00
00
10
11
10
10
10
00
01
00
10
10
10
10
00
11
10
00
00
01
10
00
01
10
10
00
11
00
10
11
11
11
00
01
00
00
10
10
01
00
11
10
00
01
10
11
00
10
10
00
10
10
01
01
10
00
00
00
00
11
10
10
00
00
11
10
11
00
01
00
10
10
00
10
10
00
01
11
11
00
10
11
10
01
00
01
10
00
10
01
10
11
10
01
00
00
00
01
10
10
10
00
11
00
01
00
10
10
11
00
01
10
00
10
10
00
00
10
10
10
00
11
10
01
10
10
10
10
00
10
10
00
01
10
11
00
00
11
01
10
01
01
10
00
00
11
01
10
10
10
00
10
00
01
01
11
10
10
01
00
10
10
10
00
00
01
00
10
01
10
01
00
11
00
10
10
10
10
11
11
00
10
00
00
10
10
00
11
00
11
00
00
11
00
01
00
10
10
10
00
00
10
10
11
00
11
01
10
11
00
00
00
00
11
11
00
01
10
00
10
10
01
00
01
11
11
11
11
01
01
10
11
01
01
11
11
10
00
01
10
10
00
01
10
00
00
00
10
10
01
11
10
00
01
10
01
00
00
10
11
10
01
00
00
01
01
11
11
00
00
10
10
10
00
01
10
01
00
00
10
11
00
10
10
00
00
01
00
11
00
11
10
00
10
10
01
00
10
10
00
10
10
10
00
01
00
00
10
11
01
10
10
10
00
00
00
00
11
10
10
11
11
10
10
11
00
00
00
11
11
00
01
00
01
01
00
10
00
00
10
01
11
00
11
11
01
01
01
10
01
00
10
11
00
01
10
11
00
11
11
00
00
10
00
01
01
11
10
10
10
11
10
00
00
11
10
10
10
01
00
11
10
01
00
11
00
01
10
11
01
00
00
10
00
00
10
01
11
00
01
01
00
00
10
10
11
11
00
00
10
10
10
10
00
01
10
00
01
11
01
00
11
00
01
10
11
11
00
01
10
10
01
00
11
11
10
00
01
10
10
11
01
00
00
01
11
00
01
00
11
10
01
01
10
11
01
10
00
00
10
10
10
00
10
10
00
10
00
00
00
10
11
10
00
10
10
00
10
00
10
00
10
01
10
10
00
00
10
00
00
10
00
01
01
10
10
01
10
00
01
00
11
00
00
00
11
10
00
00
11
00
10
10
00
01
01
01
10
00
01
10
10
00
11
00
11
00
01
00
01
01
11
00
01
00
11
10
10
10
00
10
10
01
01
10
00
00
00
00
10
00
10
00
10
01
01
00
00
01
00
11
10
00
10
00
00
00
11
10
00
00
00
11
10
01
00
00
11
10
00
10
01
01
01
11
10
01
10
10
00
00
10
10
10
11
10
11
11
00
11
00
00
11
00
01
01
11
10
00
00
00
00
11
11
01
10
11
10
11
10
00
00
11
10
11
00
10
00
00
10
10
00
01
11
00
00
11
10
00
11
11
11
10
01
10
10
00
00
10
11
00
00
00
00
10
11
10
00
01
10
11
00
10
10
10
01
00
10
10
00
11
01
00
00
11
00
00
00
00
10
10
00
11
10
01
01
00
10
00
10
11
00
00
10
11
01
11
01
01
00
00
01
11
11
10
00
11
10
00
00
00
00
00
00
10
10
00
00
10
00
00
10
11
01
11
11
01
10
10
10
10
01
00
11
00
00
00
10
01
10
10
00
10
00
11
01
00
00
10
01
00
01
10
11
10
01
00
10
10
01
00
00
00
10
10
10
10
00
11
10
01
00
10
10
11
01
10
10
01
01
10
11
10
10
11
00
01
10
00
00
00
00
10
10
01
00
10
11
00
00
00
10
01
10
10
10
10
01
00
11
10
10
00
01
11
11
00
01
10
01
10
10
10
00
00
11
11
00
00
10
10
11
11
00
01
10
11
11
00
01
11
10
00
01
10
10
10
00
00
01
00
01
00
10
11
00
10
00
11
10
01
01
10
11
10
10
00
11
10
00
11
10
10
10
01
00
11
00
00
00
10
10
01
01
00
00
00
00
01
00
10
10
00
00
10
01
10
00
00
10
00
11
10
00
00
00
10
10
00
10
10
00
10
11
10
00
10
01
10
01
00
10
00
00
01
00
00
11
10
01
11
01
10
11
01
00
01
00
11
11
10
00
00
10
11
01
01
11
01
01
00
10
00
10
11
10
00
00
00
10
00
10
10
00
00
10
11
11
10
10
10
01
01
00
11
10
00
01
11
00
10
00
00
01
11
10
00
00
10
00
00
10
00
00
00
10
00
10
10
01
11
00
00
00
00
10
10
11
00
01
10
01
00
00
01
11
11
00
10
01
01
11
10
10
00
00
01
11
10
01
01
00
10
10
00
11
00
00
11
00
11
10
01
11
10
00
01
11
00
01
00
11
10
11
01
01
00
10
10
10
11
00
00
10
00
01
10
01
00
10
10
10
10
10
10
10
00
00
00
10
10
10
10
00
00
00
01
00
10
10
10
00
10
11
00
10
10
00
00
10
00
01
10
01
10
10
10
10
10
00
00
10
10
10
11
10
01
10
00
01
01
01
00
10
10
10
10
11
11
00
10
10
00
10
01
00
10
10
01
10
10
10
01
00
11
10
00
01
10
11
01
10
10
11
01
00
00
00
11
11
01
10
01
01
00
11
10
11
00
11
10
01
00
10
10
00
00
10
00
00
10
01
10
01
01
10
01
10
10
10
10
00
00
10
10
10
01
00
00
00
10
10
01
00
11
11
10
10
11
00
01
11
00
00
11
11
01
00
11
11
10
10
00
00
01
00
00
10
00
01
11
10
01
10
10
00
00
10
10
10
00
10
10
01
10
10
10
01
10
00
01
00
00
00
01
10
00
11
11
10
00
10
01
10
00
00
00
10
00
00
10
01
01
00
10
00
10
10
00
00
11
10
00
10
10
01
01
01
11
10
11
01
11
11
10
10
01
01
00
11
10
00
00
10
10
11
01
00
00
10
10
00
00
00
11
00
00
00
10
00
00
11
10
01
00
10
00
11
00
00
10
01
00
10
11
11
00
11
11
01
00
10
10
00
01
10
11
00
00
10
01
11
11
10
00
00
00
10
01
00
00
10
10
10
01
11
10
11
00
01
10
01
01
10
00
11
11
00
00
01
11
11
00
01
10
10
00
01
00
01
10
10
00
10
00
00
11
10
10
00
10
00
01
00
11
10
10
10
01
01
11
10
01
10
11
00
11
10
00
00
10
00
10
10
00
01
10
10
00
11
10
00
00
10
00
00
00
00
10
10
10
11
10
10
00
11
10
00
10
10
01
00
10
01
11
10
11
11
01
10
01
00
00
00
11
10
10
00
01
11
00
00
10
10
11
10
11
01
10
00
10
10
00
00
10
10
00
00
00
00
10
10
00
00
10
00
00
10
10
11
11
00
00
00
11
00
10
11
00
00
10
10
00
01
10
11
10
00
01
10
11
10
10
00
00
00
10
11
01
10
10
10
00
00
10
00
10
01
01
00
00
11
10
11
10
00
10
10
01
00
00
10
10
00
10
10
01
00
01
10
10
01
00
10
10
10
00
10
10
01
10
00
01
10
00
11
00
00
10
10
10
11
10
10
11
11
10
11
00
11
10
10
01
01
11
01
00
10
10
01
00
01
10
10
00
11
00
00
10
11
01
11
11
01
01
00
00
11
00
01
10
10
00
01
00
11
11
00
11
11
11
10
00
01
00
01
10
10
11
10
00
00
11
11
11
00
00
10
01
00
00
10
10
10
00
10
10
10
01
00
01
10
10
10
01
11
10
10
00
00
10
00
01
10
10
10
00
10
00
10
01
00
11
00
10
00
00
01
10
10
00
00
10
10
00
00
11
00
00
11
01
11
01
00
00
00
10
11
10
00
00
00
10
10
10
00
10
10
01
10
01
10
10
10
10
00
11
00
01
10
10
10
00
01
11
10
00
10
11
10
01
00
11
10
10
00
00
11
11
01
11
11
00
00
01
01
01
11
11
01
10
11
01
00
01
10
11
00
11
10
10
10
00
00
11
00
00
01
10
11
01
11
11
10
11
01
11
11
00
00
11
10
00
00
10
10
00
10
00
10
10
10
00
11
10
00
10
10
01
10
11
00
11
10
10
00
10
00
11
00
01
00
10
00
00
01
11
10
01
11
01
00
01
01
10
01
01
10
10
01
11
10
01
00
10
10
10
00
00
11
00
01
10
00
00
00
00
00
10
10
00
10
11
00
11
10
00
11
10
01
01
11
10
01
11
10
10
00
10
10
00
00
10
00
00
01
10
11
00
00
10
10
00
01
00
11
01
00
00
11
00
10
00
00
10
00
01
10
11
11
10
10
10
00
00
10
01
10
00
01
11
00
11
01
11
11
00
10
01
00
00
10
11
00
01
00
10
11
00
11
10
00
01
00
10
01
11
11
01
10
11
00
01
10
00
00
00
00
10
11
00
01
00
10
00
00
00
00
00
10
10
11
00
00
00
00
10
10
01
01
01
10
00
00
11
10
10
00
00
10
10
10
01
11
00
11
00
11
11
01
10
11
10
10
00
00
11
00
10
10
00
01
01
00
00
10
10
00
00
10
11
10
01
11
00
10
01
10
10
10
00
00
00
01
10
00
10
00
00
11
10
10
10
00
00
10
11
10
00
01
11
11
11
10
10
00
01
11
11
00
01
10
01
01
10
01
00
10
10
11
00
00
10
10
00
00
01
10
00
01
01
10
00
10
10
10
00
00
10
01
01
00
00
00
10
01
10
10
01
10
11
10
10
01
00
00
10
11
00
00
11
11
01
10
01
01
11
10
10
01
01
11
11
01
10
00
10
01
10
00
00
11
00
00
01
10
01
01
00
00
11
00
11
01
01
00
11
10
10
01
11
10
10
00
00
11
10
00
11
10
10
00
00
11
11
11
01
10
01
01
01
00
00
10
11
00
00
00
11
11
01
11
10
00
10
10
00
00
11
10
00
11
10
10
00
00
10
00
01
00
11
10
00
10
10
00
00
00
11
10
10
00
00
00
01
10
00
11
10
01
00
00
11
01
01
10
10
11
10
01
11
10
01
10
00
10
00
00
10
10
00
01
10
11
00
00
00
10
11
00
01
10
10
10
00
00
10
10
01
01
01
10
11
10
10
10
00
00
10
00
00
10
11
11
01
10
00
01
10
11
11
01
00
10
10
00
10
10
00
01
11
10
00
01
10
10
10
10
01
11
10
00
11
00
11
00
10
11
10
01
10
11
00
11
00
01
11
10
10
01
00
00
10
10
00
00
10
11
00
11
01
00
00
00
11
10
00
00
00
11
00
10
11
10
10
10
01
00
10
00
00
11
10
10
00
00
11
00
10
00
11
10
00
00
01
00
01
00
10
10
00
00
10
00
00
00
11
11
11
01
10
00
10
11
11
00
00
00
10
01
11
10
00
00
11
00
10
10
00
00
00
11
10
00
10
11
11
00
11
11
01
01
10
00
00
10
11
10
00
01
10
11
00
11
10
11
10
01
10
11
00
00
01
00
00
10
10
01
11
00
00
00
00
00
10
10
00
01
11
00
10
00
01
01
11
11
01
00
11
00
10
10
00
00
00
10
10
01
10
10
00
10
00
00
10
10
01
00
00
00
01
11
11
10
11
10
00
10
00
01
11
10
00
10
00
10
00
11
10
00
10
00
00
10
10
01
01
00
11
10
10
00
11
00
00
10
11
00
01
11
11
00
00
10
00
10
10
01
11
11
00
10
00
10
11
00
01
01
00
10
10
01
01
00
10
10
10
00
10
11
01
00
00
00
10
00
10
00
00
00
11
10
10
00
00
10
01
00
01
11
10
00
10
10
01
10
10
01
10
10
00
01
00
00
00
00
11
10
10
00
10
00
10
00
11
11
00
10
10
00
11
01
11
11
00
10
10
01
00
11
10
01
11
01
00
10
10
00
01
11
00
00
01
10
00
10
10
10
00
00
00
00
11
11
01
10
10
11
10
10
01
01
10
10
01
11
10
10
00
01
10
10
10
00
10
10
10
11
01
00
01
10
00
10
10
00
01
10
10
00
00
11
00
11
10
10
01
01
10
10
10
01
10
01
00
10
10
00
01
00
00
01
11
00
01
00
01
01
10
10
00
00
01
11
10
10
11
00
11
01
00
11
00
01
01
10
11
00
00
11
10
00
00
10
10
10
00
00
01
10
00
10
10
10
11
10
00
10
00
00
01
00
00
10
10
00
10
00
11
00
11
10
01
10
00
00
11
10
00
00
10
00
10
10
01
10
10
00
11
01
10
00
00
10
10
11
10
01
00
01
00
10
00
10
01
01
01
11
10
00
01
01
10
11
00
00
11
00
10
11
11
00
10
11
11
01
11
00
01
10
00
10
10
01
00
11
11
01
01
10
00
01
00
10
10
01
00
10
11
11
10
00
00
00
10
10
00
10
10
00
11
00
10
10
10
00
10
10
11
10
00
00
10
00
11
00
00
00
10
10
00
10
10
11
11
00
01
00
00
11
11
01
00
01
10
00
11
10
01
11
10
00
10
11
00
10
11
00
00
10
10
11
00
11
10
10
00
10
10
11
01
01
01
10
00
10
01
11
01
00
10
10
11
00
01
10
11
10
01
00
10
00
00
00
11
10
00
00
10
10
01
01
10
11
00
00
00
00
01
00
10
10
11
10
00
11
00
11
10
00
10
00
00
01
00
11
10
01
11
00
10
00
00
11
11
01
01
01
11
10
01
10
10
11
00
01
10
11
11
10
10
01
01
10
00
00
10
01
01
10
10
00
10
11
01
10
11
10
00
00
10
01
00
11
10
10
10
10
11
01
00
11
11
11
01
10
10
01
00
00
10
01
00
10
10
10
11
10
10
00
10
00
01
00
01
00
01
00
00
10
10
11
00
01
10
11
10
01
11
00
00
10
00
11
00
01
00
10
00
10
00
00
11
00
11
11
10
10
10
10
01
01
11
10
10
01
01
00
10
10
10
10
00
01
00
00
11
10
10
10
11
01
00
10
10
11
01
01
00
10
11
10
01
01
00
10
00
00
11
10
00
00
10
10
00
01
10
00
10
01
10
00
01
10
00
01
11
11
01
10
10
01
11
00
00
11
10
10
00
00
10
10
11
01
00
00
10
10
01
10
10
00
01
10
00
00
01
00
00
10
11
10
00
00
11
00
00
10
10
00
10
10
00
00
00
10
10
00
00
00
10
11
10
00
10
10
01
10
10
11
00
00
00
01
10
10
10
00
00
01
00
10
01
00
00
10
10
00
10
00
01
00
10
10
00
11
10
10
00
00
00
00
10
10
00
10
10
00
10
00
00
00
10
10
10
01
00
00
10
00
10
10
01
00
10
11
00
00
10
00
01
10
10
00
11
00
10
01
10
10
01
01
01
10
10
00
00
10
10
00
00
01
10
11
00
11
00
01
10
00
00
11
11
00
00
10
11
10
01
10
01
01
10
10
11
00
00
00
10
10
10
00
11
00
10
01
10
10
11
00
00
11
11
10
11
00
00
01
01
01
00
10
00
00
00
10
10
00
00
10
10
10
00
00
11
10
11
00
00
00
00
10
00
10
10
00
00
00
11
11
10
10
10
00
01
00
11
11
00
01
11
00
00
10
01
00
01
11
00
00
11
00
11
01
01
10
00
10
10
01
00
00
10
00
10
00
01
00
11
00
00
10
10
10
00
00
01
00
10
11
10
11
01
00
11
11
00
00
00
11
10
10
00
10
10
01
11
10
01
01
11
00
00
10
10
10
00
00
10
11
01
10
10
00
01
10
10
00
11
00
10
11
00
01
01
10
10
10
01
00
10
10
10
11
00
11
00
00
00
10
11
11
10
00
11
11
11
01
11
10
00
11
10
00
11
11
01
11
00
10
11
10
10
01
00
10
10
10
11
00
10
00
10
01
00
10
10
00
00
10
10
01
10
10
01
10
00
10
10
00
10
00
10
00
11
00
00
11
11
10
01
10
01
00
00
00
11
00
00
10
11
00
10
10
00
00
11
00
00
10
00
10
10
10
00
00
10
10
10
11
11
00
11
00
00
10
00
00
10
00
10
10
11
10
00
00
00
00
01
11
00
01
01
11
11
10
00
00
01
11
01
01
10
10
00
00
00
01
10
10
01
01
10
01
00
10
11
11
00
01
10
10
00
00
00
10
10
01
10
01
00
10
10
00
10
10
00
00
10
01
11
10
11
11
00
11
11
11
01
01
10
01
10
11
11
11
00
00
00
10
01
00
10
01
10
00
10
01
11
10
00
10
01
10
11
00
01
00
10
01
11
11
00
00
10
11
10
10
10
10
00
10
00
10
10
00
10
10
01
01
10
11
10
10
00
00
00
11
10
01
01
10
11
01
11
01
11
10
00
01
00
11
11
00
01
01
10
11
01
01
11
00
01
10
00
00
10
10
00
00
00
11
00
11
10
00
10
00
00
11
00
00
10
11
10
11
11
10
00
00
10
11
00
00
10
00
01
10
10
00
01
01
10
10
01
10
00
10
10
00
00
10
00
10
10
00
00
10
10
00
00
10
11
00
01
10
01
10
10
00
10
00
00
10
10
11
00
00
00
00
01
11
00
10
00
00
10
10
11
11
11
10
01
11
10
01
00
00
11
00
00
11
10
10
00
00
10
00
00
01
00
01
10
11
00
11
11
10
10
01
10
10
10
11
00
00
01
00
10
01
10
10
01
00
11
10
10
11
11
00
00
11
10
10
10
00
00
00
00
10
10
00
01
01
00
10
10
10
01
00
01
11
10
00
01
11
00
01
00
00
00
00
10
00
01
00
10
10
01
01
00
01
00
10
10
10
00
00
01
10
00
10
11
10
00
00
11
11
01
10
11
11
00
00
00
00
11
11
00
10
10
00
01
00
10
11
00
00
00
00
10
00
01
01
00
00
00
10
00
00
10
10
11
11
01
01
00
01
00
01
00
00
10
10
01
00
00
10
00
10
10
00
10
10
00
10
01
10
01
01
11
00
11
11
00
00
10
11
01
11
00
10
10
01
11
10
00
01
10
00
10
01
00
00
00
10
00
01
00
10
00
11
11
00
00
10
10
00
10
00
01
10
01
01
10
10
00
00
00
00
10
10
10
10
11
11
10
10
10
00
10
11
11
11
11
00
01
11
00
00
10
10
10
01
01
11
11
01
10
00
00
11
11
00
00
00
11
10
00
11
11
01
10
10
11
01
00
01
10
11
10
01
00
11
00
01
01
11
00
11
00
11
10
11
01
01
00
11
10
00
11
10
11
00
00
10
11
01
00
11
11
00
01
01
10
00
11
00
00
00
10
10
10
10
11
00
10
10
10
10
00
00
10
10
11
00
00
00
10
10
00
10
11
10
00
11
10
11
10
00
01
00
00
10
10
10
10
00
10
00
01
11
00
01
00
10
00
10
10
00
11
11
10
01
10
01
10
01
01
00
10
10
00
10
10
00
10
00
11
11
00
10
11
00
01
00
11
10
01
11
11
11
01
00
10
00
01
01
10
00
00
10
11
01
11
10
00
10
01
00
00
00
10
01
10
10
01
11
01
10
00
11
10
10
00
00
11
00
00
10
11
01
11
01
10
11
10
10
00
01
00
00
11
10
00
00
00
10
01
01
00
00
01
00
11
00
00
11
10
01
00
00
10
10
01
00
00
10
11
01
00
01
10
00
00
10
00
10
11
10
01
00
01
10
00
00
00
10
10
00
00
10
10
00
10
10
01
10
11
01
00
10
10
01
11
10
01
01
11
00
10
10
10
11
00
01
10
01
01
11
10
01
10
01
01
00
11
10
01
11
00
01
00
00
11
00
10
11
00
00
10
00
10
10
00
10
01
11
11
10
10
00
00
10
01
01
10
01
01
11
00
00
10
10
10
01
00
10
00
11
10
10
10
00
10
01
01
10
10
10
11
00
00
11
01
00
00
10
10
00
11
00
11
00
00
10
00
11
10
11
00
11
10
01
01
10
00
00
10
00
00
10
10
11
10
00
11
10
11
00
01
10
11
00
10
00
10
10
00
10
10
01
01
01
01
00
10
01
11
10
00
00
10
11
10
01
10
10
00
11
10
10
00
01
00
00
10
10
00
11
10
01
00
00
00
10
01
11
10
10
00
11
11
11
00
00
11
10
00
10
10
00
11
10
10
11
11
11
10
11
00
00
11
10
10
01
00
11
00
00
01
10
01
01
00
11
01
11
00
10
10
00
00
10
10
00
00
11
01
01
11
00
11
10
00
10
11
00
00
00
11
10
00
01
11
01
10
00
10
10
00
00
11
00
00
10
10
10
01
00
01
01
11
10
00
01
10
00
10
00
00
10
10
10
01
10
00
00
11
00
10
11
00
11
11
10
01
01
11
11
10
00
10
00
00
00
10
11
01
00
10
00
11
10
00
00
10
11
00
01
10
10
10
00
11
01
00
10
01
10
00
10
01
10
11
01
10
00
00
11
00
10
10
00
00
00
01
10
10
01
00
10
10
01
00
11
00
10
00
00
10
10
10
10
11
00
01
11
10
11
00
10
01
00
10
10
00
00
11
10
10
10
00
00
10
10
01
10
10
00
10
01
11
00
01
00
10
10
00
00
11
11
11
11
10
00
00
00
00
00
11
11
01
01
00
01
00
10
01
11
10
11
01
01
00
11
00
10
11
10
10
01
00
10
11
00
00
00
10
10
10
00
10
00
00
00
10
00
10
10
11
01
10
01
00
00
00
00
10
11
00
00
11
10
00
00
10
10
10
11
01
11
00
01
10
11
11
01
00
11
10
10
10
00
01
00
10
10
11
00
00
01
10
10
10
00
00
00
11
10
10
10
10
10
10
01
10
10
00
00
01
00
11
00
10
10
01
00
11
10
01
01
00
10
10
10
00
10
10
10
11
01
00
11
00
10
10
00
01
10
10
11
10
11
10
01
10
01
00
01
00
11
00
00
10
10
10
11
00
00
11
10
00
00
00
10
10
10
00
00
10
10
10
11
10
00
00
01
10
00
00
00
11
10
00
00
00
00
10
10
10
01
10
11
11
00
10
10
11
01
01
10
01
00
00
01
10
00
11
00
00
00
00
10
10
00
00
11
11
10
01
10
01
01
11
01
00
00
11
10
10
11
00
10
10
11
10
11
00
00
00
00
00
11
10
01
00
10
00
10
10
01
11
00
00
00
00
11
11
11
10
10
11
01
10
00
00
10
01
10
11
10
01
01
00
00
01
11
10
00
00
00
11
10
10
10
11
00
00
00
10
11
00
10
00
01
11
10
10
01
10
10
00
10
10
00
11
01
11
10
01
10
10
00
01
11
10
11
00
01
10
01
10
11
00
00
00
10
11
00
11
10
01
10
00
11
00
00
11
00
01
00
10
10
10
00
10
11
01
10
10
00
10
01
00
00
11
00
10
11
01
01
11
11
01
00
00
00
10
10
00
00
00
10
01
00
01
11
00
01
01
00
01
11
10
10
00
00
10
10
10
01
00
10
11
10
01
10
11
00
00
00
10
10
00
11
01
10
00
01
10
00
10
00
01
10
00
10
10
00
10
00
00
11
11
11
10
10
00
01
10
10
11
00
01
00
10
11
00
01
11
10
00
00
11
01
01
10
10
00
01
01
00
10
00
00
01
00
10
00
00
00
11
11
10
01
00
10
10
10
10
00
10
10
11
11
11
00
00
11
01
00
10
00
00
10
01
01
01
00
01
00
11
10
00
00
10
00
00
00
10
10
11
00
00
10
10
00
00
00
10
10
00
00
01
01
10
10
01
01
10
10
00
00
00
00
11
10
10
11
00
00
00
11
11
00
01
01
10
10
00
10
11
01
00
11
10
10
00
00
10
01
01
00
00
00
01
11
01
10
11
01
00
10
00
00
10
10
00
00
10
10
10
10
11
10
11
10
10
10
00
10
10
10
00
10
10
00
01
11
10
01
11
10
01
10
01
00
10
10
01
10
01
01
11
00
10
10
01
00
10
00
01
10
00
10
10
00
10
01
00
10
00
10
01
00
00
00
10
10
00
01
10
01
00
11
01
01
11
00
10
10
10
10
00
11
11
10
11
01
10
01
00
00
01
00
01
10
11
01
01
01
00
00
10
10
10
10
00
00
11
11
00
00
10
10
10
10
10
00
10
10
00
00
01
11
11
11
11
01
10
01
01
00
10
10
00
10
01
10
01
11
10
01
11
00
11
11
00
11
00
00
11
10
00
10
00
00
10
10
10
00
10
01
00
00
00
11
11
10
00
00
00
00
00
10
11
01
00
10
01
00
00
00
10
00
10
10
00
00
00
11
11
10
10
00
00
00
11
10
00
00
11
00
10
00
10
10
00
00
10
11
10
01
10
00
10
00
00
11
01
00
10
01
00
01
01
01
11
00
00
11
10
10
10
00
00
11
10
00
01
10
01
00
10
11
11
10
00
11
11
11
00
01
10
10
10
10
00
00
11
00
00
10
00
01
00
10
10
10
00
10
10
10
00
01
11
10
00
01
00
10
00
00
10
11
11
10
01
00
10
01
10
00
01
11
10
10
11
01
11
01
10
10
11
00
00
00
10
11
01
00
00
11
10
00
00
01
10
00
11
01
01
01
10
10
01
00
10
00
00
10
00
01
10
10
10
01
10
01
00
00
00
00
11
10
10
00
01
10
10
10
10
00
00
11
10
01
10
10
11
11
10
11
10
00
00
10
10
11
01
00
10
10
11
10
11
01
11
00
01
00
10
00
01
00
00
01
11
00
01
00
00
11
10
01
00
11
11
00
00
10
11
01
01
10
10
00
00
10
11
01
00
00
10
10
00
10
00
10
10
10
11
10
11
01
00
00
10
01
10
11
00
00
10
00
00
10
01
10
10
10
10
00
10
10
00
01
00
10
11
10
11
00
00
10
10
01
00
01
10
11
10
10
00
00
10
01
11
10
11
10
10
00
11
00
00
00
10
10
10
01
00
10
10
00
00
00
00
01
01
10
01
00
00
00
01
11
00
00
11
11
11
00
01
00
11
10
11
00
00
10
10
00
00
01
00
01
00
01
10
11
11
00
00
10
10
00
00
10
10
00
10
00
11
01
00
10
01
00
01
10
11
00
00
01
10
11
00
10
11
10
10
00
01
10
00
10
00
00
11
00
01
11
10
10
00
10
01
00
11
00
10
00
10
11
10
00
00
11
10
10
11
00
11
01
10
00
11
00
01
10
10
10
10
00
00
11
10
00
00
10
00
10
10
10
10
10
00
10
10
01
10
10
01
00
00
01
11
10
01
10
01
00
10
00
01
00
10
00
01
00
10
01
10
01
00
10
00
01
01
10
10
01
01
00
10
00
10
10
01
00
10
10
00
11
11
10
00
00
11
00
11
00
10
01
00
00
01
00
00
10
10
11
11
00
00
00
01
11
11
00
01
10
11
10
10
11
00
00
10
00
01
11
00
10
10
10
00
00
00
11
00
00
10
00
10
00
00
10
10
00
10
00
00
00
00
11
01
11
01
01
10
00
11
01
00
10
01
10
00
01
00
10
11
01
10
10
10
00
11
10
11
11
00
00
00
01
00
00
10
01
01
00
11
10
11
00
10
00
00
11
01
10
00
00
10
10
10
00
00
11
10
01
11
01
10
01
00
10
00
10
10
01
10
10
10
01
10
10
10
11
10
00
00
10
00
00
10
01
10
00
10
11
11
01
10
00
10
10
00
10
00
01
10
11
10
10
11
10
00
11
10
01
00
10
10
00
01
10
00
00
00
01
11
01
00
01
10
10
10
10
11
00
10
00
00
11
00
10
00
00
10
11
01
00
01
00
01
00
00
10
10
11
00
00
01
00
01
11
11
00
00
00
00
00
10
11
10
10
10
00
10
10
00
10
11
00
00
10
10
00
00
11
10
11
10
11
10
01
00
00
00
10
00
00
00
10
10
11
00
00
11
10
01
10
01
01
10
10
10
00
10
10
00
10
01
10
10
10
11
10
01
01
11
00
01
00
01
00
11
10
00
10
10
10
01
01
10
10
10
00
01
10
10
10
00
01
10
00
00
10
10
10
01
00
11
00
10
01
01
11
11
10
01
00
00
00
11
10
10
00
10
11
11
10
00
10
00
01
00
11
01
10
01
01
10
11
00
11
00
00
10
00
11
00
01
00
10
10
10
00
00
01
10
10
00
10
11
11
00
01
00
10
00
10
11
11
10
01
00
10
01
01
00
01
00
10
01
11
10
00
01
00
00
10
10
10
11
00
01
00
10
10
00
00
11
10
00
01
10
00
11
11
10
10
10
01
01
00
11
00
00
01
00
10
11
00
10
00
11
01
11
10
00
00
00
01
01
00
10
10
00
00
10
00
10
11
00
10
00
01
10
10
00
11
01
10
01
00
10
10
11
00
11
00
00
00
11
01
01
01
10
01
11
01
10
10
00
01
00
00
10
10
10
10
00
01
10
10
10
11
11
01
10
10
10
00
11
01
10
10
00
10
00
10
00
01
10
10
00
00
11
00
10
00
10
10
00
01
10
11
11
10
11
10
01
00
10
10
00
00
10
10
00
01
10
10
01
00
00
10
11
10
01
00
10
00
10
00
10
00
00
00
11
10
00
00
01
00
00
01
00
00
00
01
11
00
00
00
10
10
10
00
10
00
00
00
01
00
11
00
00
00
00
10
10
00
01
11
10
10
10
00
00
00
11
01
01
01
10
00
00
10
00
10
01
00
01
10
10
10
00
11
10
11
00
01
10
11
00
10
01
00
01
10
11
00
10
10
01
10
01
10
11
00
01
00
00
00
10
00
10
00
00
00
01
10
10
00
01
00
00
10
10
00
01
00
00
00
11
00
00
10
11
10
10
11
00
00
10
10
01
00
10
10
10
11
10
11
00
10
10
00
00
00
10
10
11
00
00
01
10
10
01
01
00
10
11
00
10
10
11
10
01
11
01
00
00
10
11
00
01
00
10
01
00
00
11
01
01
11
00
11
11
10
00
00
10
10
01
01
10
11
10
00
10
10
00
11
00
01
00
10
10
10
00
00
00
00
11
10
01
00
00
00
00
01
10
10
10
00
01
11
00
00
11
10
10
10
11
11
11
01
10
00
10
11
10
11
00
00
10
11
10
00
00
01
00
00
11
10
01
01
00
11
10
00
11
10
00
00
00
10
11
00
00
10
10
00
10
00
00
10
10
01
01
00
01
11
00
00
01
01
11
10
10
10
01
01
10
11
00
01
01
11
10
01
00
11
10
00
11
10
10
00
01
10
10
10
01
00
01
00
10
00
10
00
11
00
00
11
11
10
10
00
01
10
00
01
10
10
11
11
11
10
11
01
10
00
10
10
00
10
01
01
01
11
00
00
10
10
01
10
11
00
11
10
10
10
01
00
10
10
01
10
11
00
00
11
11
01
10
00
10
00
10
00
01
00
11
00
10
11
11
10
00
00
10
10
01
11
00
10
01
11
00
01
10
11
10
00
00
01
11
10
01
00
11
11
00
00
01
00
10
11
01
01
00
11
00
10
00
00
10
11
00
01
10
11
00
11
01
00
10
11
01
01
00
10
00
10
00
00
10
10
10
01
00
00
00
11
01
01
10
00
10
11
10
00
10
10
10
10
10
01
00
10
10
11
10
01
10
10
00
00
01
00
10
00
10
10
00
00
10
00
11
00
10
11
11
10
11
00
01
10
11
00
00
10
11
00
00
10
10
10
10
10
00
01
11
10
10
11
00
10
00
10
10
01
10
01
00
00
00
10
10
01
10
10
01
10
10
10
00
00
10
00
00
11
10
01
10
11
10
10
10
01
11
11
11
01
00
10
00
00
00
11
11
00
10
10
01
10
10
01
00
00
00
01
00
01
01
10
11
00
00
10
10
01
10
10
00
10
10
01
10
10
00
11
01
00
11
10
10
11
00
01
11
10
00
00
10
11
00
00
10
00
00
11
11
00
10
10
00
10
00
10
00
10
10
11
10
10
00
10
10
01
00
10
00
00
10
10
11
10
01
00
10
10
10
01
11
01
00
00
01
00
00
10
10
10
10
00
00
01
00
11
11
11
00
01
10
10
11
00
11
10
01
01
00
10
01
00
11
10
01
00
00
00
10
10
00
10
11
00
00
00
00
10
10
01
10
11
01
00
10
10
00
01
10
10
00
10
00
00
00
10
10
01
01
10
00
11
00
00
10
11
01
11
10
10
10
11
11
00
00
01
00
00
11
10
10
11
00
01
10
10
01
11
10
10
00
00
10
10
01
10
01
00
01
01
10
00
10
00
10
00
00
10
10
10
00
11
10
00
01
11
11
10
11
01
00
00
11
10
00
01
00
11
00
01
10
10
10
00
00
10
11
10
10
10
00
00
10
01
00
11
11
00
01
00
00
10
11
10
00
00
11
11
01
10
10
10
10
10
00
01
11
11
00
11
11
10
01
10
10
00
10
00
00
11
10
10
00
01
01
00
00
10
11
00
00
01
00
00
11
00
01
00
00
10
10
01
00
00
10
11
00
01
10
11
10
11
00
00
10
10
10
01
11
10
10
10
00
00
11
11
11
01
00
11
10
00
00
00
01
10
00
10
10
01
10
11
10
11
11
11
00
01
11
00
01
10
10
01
01
11
10
11
00
11
10
01
00
00
01
10
11
01
10
10
10
10
10
10
00
01
10
01
10
10
00
10
10
00
11
10
00
11
10
10
01
00
01
10
00
11
00
01
10
11
00
01
10
10
00
00
00
01
01
10
10
01
00
11
00
01
10
11
10
00
01
00
11
10
00
10
00
01
01
11
10
01
01
00
00
00
01
11
01
00
10
01
10
11
01
11
10
10
10
11
10
00
01
10
10
01
00
10
11
10
01
01
11
00
00
01
10
01
01
10
10
10
10
01
00
10
10
01
10
01
00
10
10
00
11
00
00
11
10
00
00
01
10
10
00
11
10
00
10
10
00
11
00
00
01
10
10
00
01
11
11
11
00
11
11
01
00
11
10
00
11
10
10
11
00
00
10
10
00
00
10
11
10
11
11
00
10
00
11
10
10
01
11
11
10
10
01
00
10
00
00
10
10
10
00
00
01
10
10
00
10
00
00
00
10
10
00
01
00
10
10
10
10
01
11
11
00
10
10
00
00
01
00
10
10
00
00
11
00
01
00
01
10
00
11
11
11
01
01
10
11
10
00
00
10
11
10
00
00
11
11
00
01
10
10
10
10
11
10
10
00
00
00
10
10
11
00
10
10
01
00
00
10
11
10
10
10
10
10
11
01
01
10
10
00
00
10
00
10
10
11
11
01
10
10
00
11
00
00
10
10
10
10
10
10
01
01
00
00
10
01
11
00
00
10
10
10
00
00
01
00
10
11
10
10
10
00
00
00
10
01
10
10
11
10
01
11
11
01
00
01
10
10
00
00
10
10
01
00
10
11
00
00
10
00
10
01
00
11
00
10
00
00
00
11
01
00
00
11
01
00
00
10
00
00
10
01
00
10
00
11
10
01
00
10
00
11
10
00
00
10
10
00
00
10
01
11
10
10
11
10
00
10
10
00
00
01
10
10
01
11
00
10
10
00
10
00
11
10
00
11
00
11
11
01
01
10
00
00
00
01
00
10
10
10
10
11
00
00
10
00
00
10
10
00
11
11
01
11
01
11
00
10
01
00
11
10
01
00
00
11
10
01
10
10
01
01
11
11
00
00
00
10
11
11
01
00
11
00
00
00
10
10
01
10
10
00
00
11
11
00
00
00
10
10
00
10
11
01
00
11
11
10
11
00
01
01
01
10
10
00
00
00
10
10
11
01
00
00
00
10
10
01
10
10
01
00
11
10
00
00
00
00
01
10
10
01
00
00
00
01
10
01
00
10
10
10
00
00
11
00
11
10
00
10
00
10
10
01
10
00
01
00
10
11
00
00
00
10
10
00
00
00
00
00
10
01
00
01
11
00
10
00
10
00
11
10
11
00
00
01
00
11
11
10
00
10
10
10
00
01
10
01
11
00
10
00
01
00
10
01
00
10
00
01
11
11
01
10
10
01
01
11
01
00
10
00
01
10
10
01
11
10
00
10
00
01
00
01
01
10
00
10
10
11
00
00
11
11
01
00
11
00
11
11
10
00
01
10
10
00
00
11
00
11
10
01
00
01
10
11
10
00
10
00
10
10
00
00
00
01
11
11
01
11
10
10
00
11
11
01
01
01
10
00
01
10
10
00
01
10
01
00
10
10
10
00
00
11
10
10
11
00
11
00
10
11
11
01
10
11
00
00
10
10
10
00
00
10
11
01
00
00
10
00
01
00
11
11
00
00
11
11
00
01
00
00
10
10
11
00
10
10
01
00
00
10
10
11
01
11
11
10
11
10
10
01
00
10
10
11
00
01
10
11
10
10
01
00
10
10
00
00
00
00
11
10
10
11
00
01
01
00
10
01
00
11
11
00
00
00
10
11
00
11
10
00
00
00
00
00
00
10
10
01
10
00
10
01
10
10
00
00
00
10
11
10
10
00
10
10
10
10
00
01
01
01
00
01
01
01
00
10
11
10
10
00
00
10
00
01
01
10
11
01
10
00
00
01
10
10
01
11
10
10
11
01
10
11
00
00
00
00
00
10
11
01
11
11
11
01
00
00
10
10
00
01
11
11
11
00
00
11
01
10
10
01
00
10
10
00
01
10
10
10
01
00
10
10
00
10
00
00
00
11
10
00
11
11
11
11
01
11
10
11
00
10
00
00
11
01
11
10
10
00
00
10
10
01
01
10
10
01
10
00
00
00
11
00
01
10
10
10
00
11
00
00
10
00
01
10
11
00
01
01
00
00
11
11
00
01
10
11
01
10
11
01
10
10
01
00
10
00
00
10
10
00
10
10
00
11
00
10
00
10
10
10
00
01
11
10
00
01
00
01
10
00
10
00
00
11
10
00
00
00
10
00
10
11
10
00
10
10
01
00
10
00
11
01
00
00
10
10
00
00
10
11
11
10
01
11
00
10
10
00
01
00
10
10
00
01
10
00
01
10
00
10
11
01
00
00
11
10
00
11
01
10
10
10
01
10
10
11
00
00
00
00
10
10
00
11
01
11
10
00
11
11
10
00
01
11
10
10
00
01
11
10
00
10
00
01
00
00
10
00
00
01
11
10
01
01
01
11
00
01
11
01
00
11
10
11
11
01
00
10
10
10
10
00
00
10
01
11
10
10
00
00
10
10
00
00
00
10
10
00
10
01
10
10
00
00
00
10
00
11
10
01
10
01
10
11
00
00
00
10
10
00
00
10
00
10
10
11
10
10
10
10
00
00
01
10
10
00
11
00
11
10
01
10
01
01
10
00
00
00
11
00
00
10
00
10
10
00
00
11
11
00
11
10
00
11
10
00
00
11
11
10
11
10
01
11
10
01
00
11
00
10
11
11
10
00
10
10
01
11
11
00
00
00
00
10
10
00
00
10
00
10
00
00
10
11
00
10
01
00
10
00
10
11
00
00
00
10
01
00
10
11
10
00
01
00
10
10
00
10
11
01
00
10
10
10
10
01
00
00
10
10
00
10
00
00
00
01
11
10
11
01
00
11
10
11
01
00
00
00
00
10
10
00
00
10
11
10
01
01
00
00
00
10
10
10
00
00
11
10
10
10
11
10
10
10
11
11
00
00
00
00
01
00
11
10
01
01
00
01
00
10
10
11
10
10
10
10
00
00
10
10
11
00
00
00
11
10
10
10
00
00
00
01
11
10
00
11
00
00
01
10
10
10
10
00
10
00
00
11
11
00
00
01
10
00
10
10
10
01
00
00
11
00
00
10
10
00
00
00
11
01
11
10
10
00
11
01
01
00
10
10
11
00
11
00
00
10
10
01
10
00
01
10
11
00
11
10
10
00
00
10
10
11
00
00
00
11
10
00
10
11
10
01
10
00
11
00
10
10
00
00
11
00
11
01
00
10
00
11
11
00
00
11
00
10
10
11
00
00
11
10
01
01
00
00
01
10
00
01
10
10
10
00
11
10
10
10
00
10
10
00
00
11
00
00
10
01
11
01
01
01
00
01
01
01
10
11
10
10
10
00
00
11
10
00
01
10
10
01
11
01
11
10
00
10
10
11
10
00
01
01
11
00
10
10
00
00
10
00
00
00
11
10
11
10
11
11
11
10
00
00
10
10
10
00
00
11
00
10
11
01
10
00
11
00
01
10
10
00
00
10
11
01
00
10
00
11
11
11
11
00
10
10
11
11
00
01
00
11
11
00
00
00
01
10
10
10
00
00
10
01
00
11
00
01
11
00
01
01
10
11
10
10
00
11
00
01
10
11
00
00
10
00
00
10
00
01
10
10
10
10
00
11
01
01
10
11
11
00
10
00
01
10
10
00
10
10
01
00
11
10
01
11
10
01
10
10
00
11
10
00
10
11
00
00
00
00
10
10
10
11
00
10
01
11
00
10
00
01
10
10
00
00
11
10
11
00
10
10
10
00
10
10
00
00
10
10
01
10
10
00
00
11
01
10
10
10
11
10
10
00
00
10
00
00
10
10
01
00
10
10
01
00
10
01
01
00
10
10
10
01
01
00
00
11
11
10
11
11
10
00
10
10
11
10
00
00
01
11
01
10
10
10
00
11
10
00
00
10
10
00
00
10
11
10
11
01
10
11
01
10
00
10
10
10
10
11
00
01
10
00
10
10
00
01
10
10
10
00
10
11
00
00
11
11
11
00
01
10
01
10
10
00
10
10
01
00
11
11
01
00
10
01
00
10
00
10
10
00
00
00
00
01
00
00
10
00
01
01
00
11
00
10
01
10
10
00
10
11
00
11
10
11
10
10
10
01
10
00
11
11
11
00
10
11
10
01
01
00
11
10
00
00
00
10
10
00
00
01
00
10
10
10
10
00
10
00
10
01
01
10
11
00
00
10
11
00
00
10
00
00
10
01
01
00
11
10
11
10
10
01
00
10
11
11
00
01
11
00
11
01
01
11
01
10
00
00
10
00
00
10
10
10
10
00
01
10
11
00
10
00
00
00
10
10
10
00
10
00
01
01
10
11
00
10
00
10
00
01
00
10
10
00
01
01
01
10
00
01
00
11
10
00
00
00
11
10
00
01
01
10
10
00
00
00
00
11
11
00
00
01
01
01
10
00
10
11
10
00
00
11
10
00
00
00
00
00
00
10
01
01
10
11
10
00
01
10
10
10
00
00
10
10
01
10
11
00
01
01
00
11
10
10
00
10
10
10
10
01
10
00
10
11
10
00
10
00
10
00
10
11
00
10
10
10
11
01
00
11
00
11
01
00
00
00
00
10
00
00
00
00
11
11
10
10
00
10
01
01
10
00
00
10
00
00
10
10
00
10
10
00
01
00
11
01
01
00
10
00
00
01
11
10
10
11
01
00
00
10
10
00
01
10
10
01
11
11
11
10
00
11
01
00
10
10
00
01
11
11
01
10
11
01
00
10
00
00
11
01
00
01
10
11
10
00
01
11
10
11
10
11
10
10
10
00
11
11
00
01
00
11
11
11
11
10
11
00
11
11
01
00
10
11
01
11
11
01
01
00
00
11
00
01
10
00
00
11
11
00
10
10
10
00
00
10
10
00
01
00
00
11
01
01
00
00
10
11
10
11
11
00
11
00
10
00
10
00
01
00
10
10
11
10
00
00
10
10
00
10
11
10
00
01
11
01
10
10
00
00
00
00
00
11
10
10
11
00
01
00
10
00
10
11
00
00
10
10
11
10
11
00
01
00
11
10
10
00
00
00
10
10
00
01
11
10
10
11
10
11
10
00
00
10
00
00
10
10
01
10
11
00
10
10
01
01
00
10
10
10
10
00
00
01
01
10
00
11
11
00
10
10
11
11
01
11
01
01
00
10
11
10
01
00
00
10
10
00
01
11
10
00
10
10
11
01
10
10
00
00
10
01
00
10
01
11
11
11
10
10
10
00
11
00
00
00
01
00
10
00
11
01
01
01
11
10
01
00
00
10
10
00
10
00
01
10
00
01
00
10
10
10
00
10
10
10
00
10
11
10
10
11
00
11
11
00
00
11
11
10
10
01
10
01
10
00
01
11
11
00
00
00
10
00
00
11
11
11
00
00
11
10
01
00
11
01
10
10
00
00
10
10
00
10
10
10
01
01
11
10
00
00
00
00
01
10
10
01
00
00
10
10
11
00
00
10
11
11
00
10
01
01
00
00
10
11
01
01
11
00
00
11
01
10
00
00
10
00
11
10
00
00
00
01
00
10
00
00
11
00
10
10
01
00
10
01
00
11
11
01
10
00
11
11
01
00
00
11
00
01
10
00
00
00
11
00
01
01
01
01
00
10
10
00
10
10
00
00
11
10
01
10
10
00
00
11
10
00
01
00
10
00
01
11
10
01
00
00
10
00
01
10
11
00
01
01
11
00
10
00
01
10
00
11
10
01
10
01
11
01
10
01
00
00
10
00
00
11
10
00
01
11
10
01
01
10
00
11
11
00
11
10
01
00
00
01
11
11
10
11
10
10
11
10
00
00
10
00
10
00
00
01
11
10
10
00
01
11
11
11
11
00
00
10
10
00
00
00
10
10
01
01
10
11
01
01
00
00
00
10
10
00
10
00
01
10
00
10
10
11
00
00
00
01
10
01
10
01
00
10
11
00
10
10
10
00
11
10
00
00
00
10
00
10
00
11
10
00
01
10
11
01
11
00
01
00
11
00
10
00
00
10
00
00
10
01
01
10
00
11
00
00
11
01
00
10
01
10
00
10
10
10
01
10
01
10
10
10
01
10
00
00
10
10
00
01
10
10
00
10
01
00
10
00
11
10
00
00
00
01
00
11
10
11
00
00
10
01
11
10
11
01
01
10
01
10
11
10
10
10
00
00
11
10
00
01
00
00
00
01
00
01
10
00
10
10
00
00
10
11
01
10
11
10
10
10
10
01
00
10
10
01
10
10
10
01
00
10
00
01
10
10
10
00
10
00
00
10
10
11
10
00
11
11
11
00
10
10
11
00
10
01
10
10
11
01
00
01
01
10
00
01
11
11
10
00
00
00
00
11
10
10
10
10
00
00
01
11
01
11
11
11
00
10
00
01
01
10
10
00
00
11
00
10
10
10
00
00
10
11
11
00
10
10
00
01
01
00
11
00
01
11
01
10
11
10
11
11
00
10
10
10
00
10
10
00
11
01
00
10
00
10
11
11
11
00
00
11
11
01
01
00
10
00
01
11
11
01
01
10
10
00
10
10
10
11
01
10
00
00
00
00
00
00
00
10
01
10
01
11
10
10
01
11
00
01
10
10
00
00
10
10
00
01
11
10
11
11
10
00
00
00
10
10
00
10
00
10
00
00
11
10
10
10
10
01
11
00
00
10
01
00
01
11
11
10
10
01
00
10
10
00
01
00
10
10
01
11
00
01
11
00
10
00
10
00
10
11
00
00
00
00
00
10
00
00
01
00
00
00
10
00
01
10
10
10
00
11
10
01
00
10
00
10
10
01
00
11
11
00
10
10
01
00
10
00
00
11
11
10
01
10
00
10
10
00
00
00
10
10
10
10
00
10
01
11
11
11
00
00
01
00
01
10
11
10
10
11
00
01
00
00
10
01
01
10
00
00
00
10
00
01
01
00
11
11
00
00
10
10
10
00
00
11
10
00
01
10
10
00
11
11
00
00
11
11
10
01
00
10
10
10
00
00
11
10
00
10
10
00
10
10
00
11
01
00
10
10
10
11
10
10
00
00
11
11
10
00
00
00
00
11
00
00
01
01
10
11
00
00
10
11
10
10
01
01
00
00
00
01
00
00
11
10
00
11
11
00
10
00
00
11
11
01
11
00
10
00
00
10
10
10
00
00
10
00
11
00
10
01
00
00
10
00
00
00
01
11
10
01
00
10
00
01
10
11
11
00
00
11
10
00
11
10
10
10
00
11
10
11
00
11
10
01
00
10
00
10
00
00
00
10
00
10
10
00
10
11
00
10
10
10
10
11
00
00
00
00
10
01
01
01
01
01
10
11
10
01
10
11
10
11
11
00
01
10
00
00
01
11
10
01
00
10
11
10
00
00
00
10
10
00
00
01
01
00
10
01
00
10
10
00
00
00
00
01
11
01
11
01
00
01
00
10
00
00
10
10
00
01
11
10
00
10
10
00
11
10
10
00
11
11
00
00
00
10
00
10
10
10
11
00
00
00
10
01
00
01
00
11
10
11
01
11
10
00
11
11
00
00
10
11
00
10
00
10
10
01
00
00
10
10
10
00
01
00
10
10
11
00
10
01
01
00
10
10
00
10
10
10
00
11
11
11
01
10
00
10
10
11
00
00
10
01
10
00
01
01
11
11
01
00
01
00
11
00
01
11
10
11
10
11
00
10
00
11
00
01
00
00
00
11
10
00
10
11
10
10
10
00
11
11
10
01
11
11
00
10
10
11
10
00
11
01
10
10
10
11
11
10
00
10
10
00
00
10
11
10
01
01
01
10
00
00
00
01
11
10
00
11
10
01
10
00
01
10
01
11
10
00
00
10
00
10
10
00
11
11
11
10
11
11
00
01
00
00
10
10
10
00
00
10
01
01
01
00
00
11
01
00
00
01
11
00
00
11
10
01
10
11
11
01
01
10
10
00
01
11
11
00
00
11
11
01
10
00
11
10
00
10
00
10
00
11
11
10
10
10
10
00
01
10
00
00
00
00
10
10
10
11
00
10
00
00
11
01
00
10
00
00
10
00
10
10
11
01
00
10
11
10
00
00
10
01
00
01
00
10
11
10
00
10
10
00
11
01
00
10
10
10
10
10
10
00
00
01
01
10
00
01
00
11
00
00
00
11
10
10
00
00
10
10
00
00
11
10
00
00
01
10
00
01
11
01
01
01
11
11
00
00
10
11
00
00
10
11
10
10
01
10
10
00
10
11
01
01
11
10
00
10
10
01
01
10
11
01
01
00
00
11
11
10
00
01
00
10
10
01
01
10
10
11
10
00
11
00
00
10
01
10
00
01
10
10
10
00
00
10
11
01
00
00
01
10
00
10
10
10
00
11
10
01
01
10
01
11
00
10
00
00
10
10
00
10
01
00
10
00
10
00
00
10
00
10
00
11
01
11
10
01
00
11
10
00
00
11
10
01
10
10
01
00
00
10
10
01
10
10
01
10
00
00
01
10
10
00
11
00
01
10
11
00
01
10
11
11
00
11
01
00
10
10
10
01
00
10
10
00
00
01
01
10
11
00
01
10
01
10
11
00
00
00
00
11
10
00
01
00
10
10
10
11
10
11
00
00
10
00
00
10
10
01
01
10
10
10
01
01
10
10
10
00
10
11
00
01
10
00
11
00
11
00
01
10
00
11
10
10
01
10
10
11
00
10
00
00
00
01
01
00
00
10
10
01
10
11
00
00
00
10
01
10
10
00
01
11
11
10
10
00
10
01
00
11
10
10
10
00
01
10
10
01
10
10
10
10
00
10
00
00
10
01
10
00
00
00
00
10
00
00
10
00
11
11
10
00
11
01
01
10
10
00
01
00
11
10
10
00
00
10
01
01
10
11
00
11
10
11
01
11
00
00
10
00
00
10
10
00
01
11
10
11
11
00
01
01
01
10
00
00
10
10
10
11
01
10
00
00
00
00
00
10
10
10
00
00
11
01
00
10
10
11
10
00
01
10
01
00
11
00
00
10
00
11
10
00
00
00
10
00
10
11
00
10
01
01
11
00
01
10
00
01
10
11
00
10
10
10
01
00
00
10
10
11
00
01
11
01
10
10
00
00
10
10
00
00
10
00
00
00
00
00
00
10
00
01
10
01
00
11
00
00
11
00
00
10
10
00
10
00
01
11
00
01
01
01
10
10
11
10
11
00
10
10
00
01
10
01
00
11
01
10
00
00
01
10
00
01
10
10
00
10
10
01
00
10
10
00
11
00
00
00
11
11
10
11
00
00
10
00
11
00
11
10
01
10
11
01
11
10
00
00
00
01
00
00
10
10
00
11
00
00
10
10
01
10
10
00
10
11
00
01
11
11
00
10
00
01
00
10
00
00
10
00
01
11
00
01
10
11
10
11
10
10
00
00
10
10
01
01
01
11
01
00
10
00
01
11
00
01
10
00
01
11
11
00
10
11
00
00
10
10
00
10
00
01
00
00
00
11
11
00
10
11
10
10
00
00
00
10
10
11
10
10
00
10
00
00
00
10
11
10
11
10
10
11
11
00
10
11
00
10
10
01
00
00
00
10
11
10
01
00
11
11
10
11
00
11
11
00
00
10
10
00
01
00
10
11
11
00
10
00
00
00
11
10
11
10
00
10
00
10
10
01
00
00
10
11
00
00
00
01
00
10
10
10
00
00
10
01
11
10
11
11
00
10
00
00
01
11
11
10
10
10
10
10
01
00
10
01
00
10
00
00
00
10
10
01
11
11
11
10
00
11
10
00
10
10
00
00
10
10
00
00
00
10
10
10
11
00
11
10
01
01
10
01
10
00
00
10
00
00
11
11
11
10
11
01
10
10
10
10
00
00
11
01
01
10
01
00
11
01
00
10
10
10
00
00
10
00
00
10
10
01
01
00
00
01
10
10
00
00
00
01
11
11
10
00
01
01
11
00
10
11
10
10
11
00
00
11
11
10
10
01
01
10
10
00
01
10
10
11
01
00
00
00
10
10
00
00
10
01
10
01
01
10
01
00
10
00
00
01
00
11
10
11
01
10
00
10
10
01
11
10
11
01
11
00
00
11
10
10
00
01
00
01
00
10
10
11
10
00
10
11
10
00
00
10
10
00
00
00
00
10
00
10
10
00
11
00
01
10
10
11
00
00
10
00
01
10
11
00
10
00
10
00
01
10
10
10
11
10
11
00
00
00
10
10
00
01
10
11
00
10
10
10
01
00
00
10
10
11
01
00
10
01
10
00
01
00
00
11
10
00
10
10
00
11
00
00
11
11
01
01
00
10
10
10
10
00
10
10
00
01
10
10
01
01
10
11
10
10
00
11
00
11
00
00
00
10
00
00
01
10
00
11
10
01
11
11
01
10
00
01
10
11
10
01
00
10
00
11
00
01
00
10
00
01
11
10
00
10
10
11
10
01
01
10
01
01
01
10
10
00
01
10
10
00
10
01
10
11
01
10
10
10
11
01
01
11
10
11
10
00
11
10
00
00
11
00
11
00
10
00
00
10
00
10
10
00
11
11
10
10
01
01
10
00
00
10
11
00
11
11
10
11
10
01
00
00
10
10
01
00
00
11
11
00
10
10
10
10
00
10
01
00
00
11
10
00
10
10
11
11
10
11
10
01
10
10
00
11
11
00
11
11
10
00
11
00
01
10
11
00
01
00
10
10
00
10
10
10
00
10
00
00
00
00
00
00
10
10
11
00
11
10
00
01
10
01
00
00
10
01
00
10
10
01
01
10
01
00
01
10
00
10
01
00
10
11
00
10
00
10
10
10
00
00
11
10
11
11
01
10
10
00
00
00
10
10
00
01
11
10
10
10
01
00
11
10
01
11
00
10
00
00
10
00
01
01
11
00
11
00
11
10
01
10
11
01
00
10
11
11
00
11
10
00
11
00
00
11
10
00
00
00
10
11
01
00
01
11
00
10
11
00
10
00
00
01
00
11
10
00
10
00
10
10
01
00
00
11
01
10
00
00
10
10
11
00
01
10
10
00
00
01
00
01
10
00
00
01
10
11
01
00
10
01
01
00
11
10
01
11
00
01
10
10
10
10
01
00
01
10
01
00
00
00
00
01
10
11
11
10
00
10
10
00
00
10
11
10
01
01
00
10
11
00
00
00
10
10
11
00
10
10
11
01
00
01
00
01
10
10
01
10
00
00
00
10
10
00
01
11
10
11
01
11
10
00
00
10
10
00
10
00
00
10
10
00
00
10
11
00
10
00
11
00
10
10
00
10
10
01
10
01
10
11
10
00
10
00
00
10
01
01
10
10
11
10
10
00
10
10
01
00
00
10
01
00
01
10
01
01
00
11
10
11
00
00
00
10
10
10
11
00
11
00
00
00
00
11
11
00
10
11
00
00
01
10
10
10
01
10
00
10
10
10
00
10
00
00
00
10
00
11
00
11
10
11
00
00
10
10
00
10
11
00
00
00
11
10
10
00
10
00
01
10
10
00
00
01
01
10
10
10
00
01
01
01
11
01
00
01
10
10
10
00
00
01
11
00
00
10
11
11
00
10
10
11
00
11
01
01
00
01
00
10
01
00
00
10
00
10
00
01
10
00
00
00
00
10
01
01
11
10
00
11
10
00
10
10
00
01
00
10
10
11
00
00
10
00
00
10
10
00
01
10
10
10
01
10
11
10
01
10
00
01
00
00
10
10
00
00
00
00
10
10
10
00
10
00
00
01
00
01
10
10
10
10
11
00
11
10
00
01
01
10
10
11
00
11
00
00
10
11
00
00
11
00
00
10
01
11
01
00
00
00
00
01
01
11
10
00
00
10
01
01
00
11
11
10
00
00
10
11
10
10
01
00
10
10
11
01
01
00
00
10
10
11
10
10
01
01
11
11
00
11
10
01
00
00
11
11
00
00
00
11
10
00
00
10
01
00
11
00
00
10
10
10
00
10
10
10
01
11
10
00
01
10
00
00
10
01
00
11
01
00
00
00
01
01
10
10
11
00
10
10
00
11
00
00
10
10
01
00
10
11
10
10
10
00
00
11
00
10
11
01
01
10
01
00
00
11
10
00
11
10
00
10
00
00
01
11
11
00
00
00
00
10
11
00
10
10
01
00
01
00
10
00
00
00
11
01
01
00
10
10
10
10
10
10
11
00
01
10
01
10
10
00
00
00
00
10
11
00
11
01
01
01
00
10
10
10
01
00
11
10
11
10
00
10
10
00
01
11
00
10
10
00
01
10
11
10
01
00
11
01
01
00
10
11
10
10
10
01
10
10
00
00
11
10
00
10
10
10
00
11
00
01
10
01
00
00
10
00
00
10
01
00
11
01
00
10
01
10
10
10
00
00
00
10
10
00
11
00
01
00
01
10
00
00
10
00
00
01
10
00
10
10
01
11
00
00
00
10
10
10
11
10
11
00
01
01
01
00
01
11
10
11
00
10
10
01
01
01
00
10
11
01
10
10
10
00
11
00
01
01
00
00
00
10
00
11
11
10
00
00
01
01
10
00
10
00
10
10
10
00
11
10
00
00
00
00
11
10
00
10
00
01
10
01
10
01
00
00
10
11
00
01
11
10
10
11
10
11
10
00
00
10
10
10
00
00
10
10
00
00
00
10
11
10
10
10
00
10
10
00
11
00
10
10
00
00
10
00
01
11
10
10
10
00
10
00
01
01
10
11
00
11
10
01
00
01
00
10
01
10
00
01
00
11
10
11
00
11
10
00
00
01
11
11
01
00
00
00
01
00
11
11
00
10
10
00
01
00
01
00
10
10
10
00
10
10
00
01
11
01
01
10
00
00
11
10
10
10
01
01
00
10
00
10
10
00
00
11
01
01
00
00
01
00
11
10
00
10
00
00
10
00
10
00
10
10
00
00
10
10
10
01
01
10
01
00
10
00
10
11
01
00
11
11
01
01
10
01
10
10
10
00
00
11
00
00
10
11
00
11
00
01
11
00
00
10
10
01
10
01
00
10
00
10
11
10
10
01
01
11
01
00
01
01
11
00
00
11
00
10
11
00
00
10
00
00
01
10
10
10
10
10
10
00
00
00
01
00
10
11
10
00
00
10
10
00
10
00
10
01
00
11
00
00
01
00
10
10
10
01
11
01
10
10
00
10
10
00
00
10
00
10
00
10
10
10
10
00
11
01
00
11
11
01
00
11
00
11
10
00
10
01
11
10
10
00
10
11
00
10
11
00
11
01
11
10
10
00
01
11
10
00
01
00
01
00
10
10
00
01
10
11
00
00
01
10
10
01
01
10
10
10
11
11
10
01
00
01
11
00
10
10
00
01
10
10
01
11
01
11
01
00
11
10
10
01
00
10
11
00
00
11
11
11
10
00
01
10
00
00
11
10
11
10
11
11
10
10
10
10
00
10
00
01
00
10
00
00
10
01
10
11
00
00
00
11
11
10
01
01
10
10
10
11
01
00
10
01
00
00
10
11
00
00
10
10
10
00
00
11
01
10
01
00
10
01
10
00
00
11
10
00
11
11
10
10
10
10
00
10
00
00
00
01
10
10
11
01
01
00
01
10
11
11
00
00
10
00
00
00
10
11
00
00
00
00
10
10
00
00
10
10
10
11
00
00
11
10
10
00
10
00
00
10
10
10
00
11
11
10
01
11
10
11
10
01
00
11
01
00
10
11
10
11
01
01
01
10
10
11
00
01
10
10
01
10
11
01
10
10
00
10
10
11
00
00
01
10
00
10
11
00
10
10
10
01
01
00
00
11
00
01
01
10
10
11
10
00
00
11
00
10
10
10
00
00
11
00
11
10
00
01
10
10
10
01
01
01
10
11
01
00
00
01
00
01
00
10
00
00
00
11
10
10
10
00
10
01
10
00
00
01
11
00
01
10
11
01
11
00
01
00
10
10
10
00
10
00
00
11
10
10
00
11
10
10
10
00
00
10
11
11
10
00
01
10
11
00
01
10
10
00
10
00
01
11
01
11
00
10
10
00
10
11
11
01
10
11
10
10
00
11
00
01
00
00
00
00
10
00
01
10
10
00
10
11
10
00
01
00
10
10
00
00
00
01
00
00
10
11
00
00
11
11
10
00
01
00
10
10
00
00
01
11
10
01
10
01
10
00
01
11
11
11
00
01
00
11
10
00
00
10
10
00
00
11
00
00
11
00
01
00
10
10
01
00
00
00
11
10
00
00
10
00
00
11
11
10
10
01
01
10
00
00
01
00
01
10
00
00
10
00
01
01
11
10
10
10
10
10
10
00
00
01
10
10
01
10
10
10
00
00
10
10
11
00
00
01
11
00
11
10
11
11
00
10
01
01
10
10
00
00
11
00
10
10
11
01
11
10
01
00
11
00
01
11
10
00
10
01
01
10
00
00
00
10
01
00
10
00
00
10
00
10
01
10
10
00
01
10
00
10
01
10
11
10
10
00
00
00
11
10
10
00
10
10
00
10
01
10
00
01
11
10
11
01
00
10
11
00
10
00
00
11
10
10
01
00
10
00
11
00
10
01
10
00
00
10
10
10
00
00
11
10
01
00
01
00
01
00
11
00
01
00
11
10
01
00
11
10
00
00
10
10
00
10
10
11
11
01
00
10
00
00
00
10
11
00
00
10
01
01
11
00
01
00
01
11
00
00
10
11
00
11
10
00
01
01
00
10
10
01
11
00
10
11
10
00
00
00
00
11
01
01
11
10
10
00
10
10
10
01
01
00
10
00
00
11
10
00
00
10
10
00
10
10
10
10
11
10
00
00
00
10
00
11
10
00
01
00
10
10
10
00
00
01
11
10
00
00
00
10
10
00
10
10
11
01
11
00
01
01
00
11
11
11
00
00
10
10
01
11
10
00
11
00
01
11
10
00
00
01
10
11
10
00
11
00
10
10
00
00
00
00
10
10
10
00
10
11
10
01
01
10
00
01
00
00
01
11
10
01
00
10
10
01
01
01
10
10
10
00
00
00
00
10
11
10
00
00
10
00
00
00
10
10
00
11
00
00
11
10
11
10
11
00
01
10
00
10
10
00
00
10
00
00
10
10
10
10
01
01
00
10
00
01
00
11
10
11
00
11
00
01
00
10
00
00
00
10
10
10
10
00
00
10
11
10
00
00
11
01
01
00
10
11
00
01
10
10
00
00
10
10
10
00
10
00
01
10
10
01
00
11
01
01
10
00
10
11
00
01
10
10
00
01
10
00
10
10
10
11
01
00
00
10
10
11
10
00
11
10
00
11
00
10
10
10
01
11
11
00
00
00
01
10
11
01
00
10
10
00
11
10
00
01
00
10
10
00
00
01
10
11
00
00
11
10
11
00
00
11
00
00
10
10
10
10
01
00
00
10
11
10
10
00
00
00
00
00
11
10
01
10
01
01
00
10
10
11
00
00
11
11
00
00
10
00
01
10
10
00
01
10
00
01
11
00
00
00
00
11
11
01
10
00
10
10
11
10
00
01
10
10
01
10
10
11
01
11
00
00
10
00
10
11
00
01
11
11
10
11
00
10
01
00
00
11
10
00
00
10
00
01
01
00
10
11
10
10
11
10
00
11
10
10
11
00
01
10
00
10
11
00
00
11
10
10
00
11
00
10
00
10
00
00
10
00
00
10
00
01
00
11
10
01
10
11
10
01
00
10
01
00
11
00
00
10
00
01
10
10
01
01
11
01
10
00
10
00
00
00
10
10
10
11
01
01
00
10
10
00
11
10
00
01
00
00
10
10
11
10
01
10
11
00
00
00
10
01
11
01
01
00
01
10
10
10
01
01
10
01
00
11
10
00
10
10
10
01
10
00
00
10
01
11
00
11
00
11
00
00
10
00
11
10
10
00
00
10
10
11
01
10
11
10
01
10
10
11
00
11
10
10
00
01
10
10
10
11
10
00
11
01
10
11
01
00
11
00
11
00
10
10
10
11
01
01
10
11
00
10
00
11
00
00
00
11
00
00
10
00
11
11
10
10
00
10
00
00
10
00
00
10
01
00
10
11
00
01
00
11
11
11
10
00
00
11
00
00
10
01
01
10
01
00
10
10
10
00
00
10
10
00
10
01
10
11
10
10
00
00
00
11
10
01
11
10
00
10
00
00
10
11
10
00
10
01
11
00
11
10
00
01
10
10
01
10
10
10
00
00
00
10
10
00
10
11
00
10
10
00
11
10
10
10
00
01
10
01
00
01
00
01
01
11
00
00
00
11
10
10
01
00
01
10
00
01
11
11
00
00
11
10
00
10
10
01
01
10
00
00
10
11
10
10
10
11
01
10
11
00
00
00
00
00
10
10
00
10
10
00
10
10
00
00
11
10
11
11
00
01
10
10
10
10
00
01
10
10
11
10
10
00
00
10
10
00
11
10
00
01
00
01
01
00
00
10
10
01
11
11
01
00
01
10
00
10
00
00
10
00
00
00
00
00
10
10
11
00
11
10
00
01
10
10
00
10
10
00
00
10
01
00
01
00
00
00
00
10
10
10
00
10
11
01
00
10
10
10
10
11
00
00
00
00
10
10
11
00
10
11
01
10
00
00
10
00
00
11
00
00
10
10
11
01
10
01
11
00
10
10
00
10
10
01
10
10
10
00
00
11
01
00
10
10
10
00
00
10
10
11
00
10
00
10
10
11
00
01
10
11
10
01
10
00
01
00
10
11
10
11
11
10
00
10
11
11
00
00
00
10
10
10
10
11
00
10
10
00
00
01
10
11
11
10
00
10
10
11
00
00
01
01
01
10
10
10
01
10
00
00
11
00
10
01
00
11
10
01
01
00
00
01
01
11
00
00
11
10
00
00
00
10
10
00
01
10
10
00
01
10
10
11
00
00
00
01
10
01
00
10
11
00
00
00
00
10
10
10
00
10
11
00
11
00
11
10
00
11
11
01
01
00
10
00
00
00
00
10
10
10
00
10
00
11
10
11
01
10
00
01
10
01
00
10
10
10
10
00
10
01
10
01
10
01
00
10
10
10
00
00
10
00
10
01
00
10
01
10
00
11
10
00
11
10
00
01
10
10
11
01
10
01
00
00
10
00
00
11
10
01
10
10
10
10
10
01
00
00
00
01
00
10
00
10
01
00
11
10
11
10
10
00
00
10
11
10
11
00
00
00
01
00
00
10
00
10
11
00
10
10
01
01
01
10
11
10
10
01
11
00
01
11
01
00
10
00
10
00
10
10
10
01
01
01
10
01
10
00
00
00
10
00
00
00
10
11
00
00
01
10
00
01
01
10
10
01
10
11
00
01
11
10
01
00
00
11
10
00
00
11
00
10
11
11
10
00
01
10
00
00
10
10
00
01
01
00
11
01
00
01
00
10
00
01
00
10
10
01
01
00
00
01
00
01
10
10
10
00
11
10
11
00
00
11
00
01
00
11
10
10
11
10
10
00
10
10
00
11
10
00
00
00
00
10
10
10
10
00
00
01
10
00
11
01
00
11
11
00
00
00
00
00
00
11
10
10
00
00
10
00
10
11
10
00
01
10
00
00
01
11
11
01
11
11
00
10
00
00
10
10
11
00
01
00
00
01
00
00
11
10
10
00
00
11
01
10
11
10
00
11
10
01
01
01
11
10
11
01
00
11
10
01
10
00
01
00
00
00
00
10
11
10
00
10
11
00
00
00
00
11
10
10
10
01
10
10
10
10
11
00
00
01
00
11
00
10
00
00
10
10
10
00
10
10
01
01
01
00
10
00
00
11
11
01
01
11
11
01
10
10
10
00
00
00
10
11
00
10
10
11
10
00
01
10
11
11
10
01
10
11
10
10
00
11
00
00
00
11
10
00
00
10
00
11
11
01
00
10
00
00
10
00
00
11
00
01
10
00
01
00
11
10
11
00
11
10
11
00
11
00
00
00
10
10
10
10
00
01
00
11
00
01
01
11
10
01
00
10
10
10
10
01
00
10
00
01
10
10
10
01
10
11
00
10
01
01
01
00
00
11
00
11
00
11
10
01
01
00
11
10
00
01
11
01
10
01
10
10
00
00
10
11
11
10
10
00
10
11
10
00
00
00
10
11
00
01
00
01
10
11
11
11
10
01
00
10
01
11
11
00
00
10
00
11
00
01
11
00
01
00
01
10
10
11
11
00
00
10
00
01
00
10
10
00
00
00
01
10
10
10
10
01
11
11
01
10
10
00
10
00
01
10
10
11
10
10
00
10
00
10
11
00
10
10
00
11
00
10
10
00
00
10
00
10
00
00
10
11
00
01
10
10
00
01
00
01
01
00
00
00
11
10
11
00
10
00
10
11
10
01
00
00
10
00
00
10
10
00
01
11
10
00
00
10
10
00
11
01
01
11
11
00
11
11
10
10
01
01
10
11
00
00
10
10
10
00
00
10
10
01
01
10
11
11
10
01
10
00
00
10
10
10
10
11
00
01
00
00
11
00
11
10
11
10
00
10
00
10
11
10
01
00
10
10
01
00
10
10
01
00
11
10
00
10
11
10
10
00
01
00
10
00
11
01
01
10
11
00
00
10
00
10
10
01
00
00
11
10
01
10
11
11
10
01
00
01
11
11
00
11
10
00
10
00
00
10
11
10
00
10
00
00
11
00
11
10
00
10
00
00
10
10
00
00
10
10
00
01
11
11
10
01
00
01
01
10
10
00
00
10
11
00
00
00
10
10
01
10
00
01
10
00
00
00
01
00
00
10
11
11
00
01
01
00
10
10
10
10
10
01
00
10
10
10
10
00
11
00
00
01
10
00
10
01
10
11
01
00
00
10
10
11
00
00
10
10
10
11
00
01
01
10
01
10
01
00
01
10
11
11
00
00
10
10
00
00
10
00
11
11
11
10
00
11
00
00
10
11
01
01
00
11
10
00
10
10
10
10
10
10
11
01
10
01
00
00
01
11
00
01
11
01
10
10
00
00
10
01
11
10
00
01
10
10
10
00
10
00
10
10
00
00
00
00
10
11
10
00
10
00
10
10
01
10
00
01
10
11
00
00
01
10
10
10
00
00
10
10
00
10
10
10
10
11
11
01
10
01
00
00
10
11
01
00
01
10
11
01
00
10
00
10
01
01
11
00
01
10
10
10
00
00
00
00
00
11
11
00
01
10
10
00
10
10
11
10
00
00
10
00
10
10
00
01
00
00
10
10
00
10
11
01
10
00
10
11
00
10
01
10
01
11
00
00
10
11
00
00
00
11
10
10
00
11
01
01
11
01
00
00
00
10
01
10
11
00
00
00
00
11
00
10
10
10
00
01
11
00
00
10
00
00
00
11
10
01
11
01
10
10
00
01
00
10
10
00
01
00
00
11
10
11
01
00
00
10
10
01
10
10
00
00
11
11
11
00
00
00
10
00
00
10
10
01
01
11
00
00
10
10
01
00
00
11
10
00
01
01
00
10
01
10
01
01
10
00
01
00
10
10
00
00
10
10
00
10
10
10
01
01
00
10
00
00
00
01
10
10
11
00
10
11
00
00
01
10
11
01
00
01
00
11
00
10
01
00
11
11
01
01
00
01
00
01
11
10
10
00
00
10
11
00
10
10
00
01
10
10
11
01
01
10
01
10
10
00
00
10
00
10
10
10
00
00
10
10
00
11
00
00
01
00
10
10
00
10
10
00
10
11
11
01
01
00
10
11
10
01
10
10
00
11
01
10
01
01
01
10
00
00
10
01
00
10
11
10
00
10
10
10
10
00
00
01
10
10
10
10
10
10
01
00
01
10
10
01
00
01
00
00
11
11
10
00
10
11
01
00
11
00
00
00
00
10
01
00
10
10
00
10
10
00
01
10
11
11
10
10
11
10
01
10
00
01
00
11
00
00
10
00
00
10
00
00
10
00
10
10
11
01
01
11
01
00
11
10
11
00
01
11
01
00
10
00
00
10
00
10
11
00
00
10
10
00
10
00
10
01
10
01
10
00
11
00
00
10
00
10
01
11
11
10
10
01
01
00
10
10
11
11
10
00
01
01
10
00
01
00
11
10
10
11
00
00
10
11
00
10
00
01
00
10
00
00
10
11
10
10
10
00
10
10
10
01
11
10
10
11
01
00
00
10
00
01
00
10
10
11
10
10
10
01
11
01
11
11
11
01
10
00
00
11
10
00
10
11
01
10
11
10
10
00
11
01
01
00
00
01
00
10
11
11
00
10
10
01
01
10
11
00
11
00
11
00
11
10
01
10
11
00
01
11
10
01
11
11
01
10
11
11
00
00
10
00
00
00
10
10
10
01
01
10
10
10
11
10
01
00
10
10
00
01
00
01
10
00
00
10
01
01
00
10
00
01
01
00
10
10
00
00
00
10
11
00
00
01
10
01
10
00
10
01
10
00
01
10
01
00
00
00
10
11
01
10
11
01
01
00
10
01
00
00
01
10
00
00
10
11
11
00
10
01
00
10
00
01
01
00
10
01
10
10
00
00
00
10
10
10
00
00
10
00
01
10
10
10
10
10
11
11
10
01
11
01
11
11
00
00
00
11
10
00
01
10
00
00
11
11
11
00
10
01
11
00
01
10
10
10
10
00
11
11
01
00
00
11
00
01
10
10
01
10
10
11
10
00
10
10
00
10
00
00
00
00
10
00
00
11
00
11
00
01
10
11
00
01
00
10
10
11
10
00
11
10
01
10
11
01
10
11
01
10
10
00
00
00
01
10
00
00
10
10
01
10
11
00
00
00
11
01
00
00
11
10
00
10
10
10
10
00
00
10
10
11
10
11
01
00
00
10
10
00
10
01
00
00
00
00
00
10
10
11
10
00
10
00
10
01
10
01
00
01
00
00
10
10
10
00
10
01
01
10
00
10
11
10
10
10
01
00
11
11
11
10
00
00
01
10
11
10
00
00
00
00
10
00
01
11
10
10
00
00
01
00
01
11
00
00
00
00
10
10
10
00
00
00
01
10
00
00
10
10
11
11
01
10
10
10
01
00
00
00
00
01
11
00
00
11
11
00
00
11
11
10
11
10
11
00
00
01
00
00
00
10
11
10
01
10
01
10
00
01
10
00
01
00
11
11
01
00
00
00
10
10
01
00
11
00
11
00
10
10
00
10
10
01
10
00
00
10
00
10
10
00
11
01
00
00
00
10
11
10
10
00
10
01
10
10
00
00
10
10
10
00
11
10
01
01
10
01
00
00
00
00
10
10
00
01
11
10
10
10
11
00
00
01
00
11
00
11
11
00
00
10
00
00
00
11
10
01
11
00
01
11
00
10
11
01
01
01
10
10
11
00
00
00
10
10
00
01
11
01
10
10
01
00
11
00
01
10
10
00
00
01
10
11
11
00
10
10
10
00
00
10
11
00
00
10
01
10
00
01
00
00
10
10
00
11
01
01
11
01
11
10
00
00
00
10
01
10
11
00
10
10
11
01
10
10
00
01
00
10
10
00
10
11
00
10
10
11
00
01
00
01
00
00
10
11
00
11
00
00
11
00
00
10
10
00
01
00
10
10
00
10
00
01
10
11
10
10
11
11
10
01
10
11
00
00
01
10
11
00
10
10
01
10
00
10
10
00
00
11
00
00
11
11
00
11
11
00
00
10
00
00
11
11
11
10
00
00
00
10
10
11
00
00
00
10
11
00
00
11
11
01
00
01
00
10
00
01
00
10
10
10
01
00
00
01
10
11
00
10
10
01
00
11
10
01
10
10
10
00
00
10
01
00
00
10
00
10
00
11
11
00
01
01
00
11
11
00
00
00
00
11
10
00
10
00
10
10
00
10
00
01
01
10
10
01
00
01
00
10
10
10
00
00
10
10
10
00
00
10
10
11
11
01
10
00
10
10
10
11
00
01
10
11
10
00
00
10
00
00
00
11
00
01
00
00
01
00
10
00
01
10
10
01
00
01
00
11
10
00
00
10
10
10
00
01
10
10
10
10
00
00
00
11
10
00
00
01
10
00
10
10
10
00
10
01
10
00
00
10
00
01
00
11
00
01
01
10
00
00
00
00
11
11
00
10
10
10
00
10
01
01
01
11
01
00
10
11
10
10
10
10
00
10
11
10
10
11
01
10
10
00
01
10
10
11
00
00
10
10
00
00
10
10
00
00
10
11
11
00
10
00
00
00
00
10
00
01
00
10
00
11
11
01
10
01
00
11
10
10
10
00
10
10
11
00
10
11
10
00
00
00
00
01
10
10
10
00
11
10
00
11
10
00
10
00
10
10
10
00
00
00
10
10
10
11
00
00
00
10
11
00
11
10
11
10
11
00
00
00
10
01
01
10
00
01
10
10
00
10
00
10
11
10
10
00
01
11
00
00
00
01
01
01
10
11
01
00
11
10
00
00
00
10
00
00
01
01
11
01
10
01
01
10
10
10
00
10
01
00
00
10
00
00
00
00
11
10
10
11
01
01
10
11
00
10
11
01
10
11
11
01
10
00
01
10
01
00
10
11
11
01
00
10
11
10
11
01
00
10
00
00
10
10
00
10
00
10
11
11
11
10
01
10
00
00
10
00
01
01
10
10
11
00
00
10
10
01
00
11
11
00
01
01
00
00
00
11
11
00
10
01
11
00
01
10
01
00
11
00
11
00
01
10
11
00
00
00
11
00
01
01
10
10
00
11
10
01
00
00
00
10
00
11
01
00
10
10
10
00
01
11
00
01
10
10
10
10
10
00
00
00
10
00
10
00
10
01
01
11
11
10
10
00
00
11
10
00
10
11
01
01
11
00
00
00
00
10
10
01
01
00
00
01
11
00
10
11
10
00
10
00
01
00
11
10
10
10
10
00
00
10
00
11
01
01
10
00
00
01
10
10
11
00
11
10
10
00
00
10
00
00
10
10
01
00
00
01
00
00
11
01
01
11
10
11
00
00
01
01
10
10
01
00
01
10
10
10
01
00
10
10
00
11
10
10
00
01
01
00
11
10
11
00
01
10
01
00
10
11
10
00
00
00
10
00
10
10
10
11
01
10
11
00
10
01
00
00
00
10
10
00
11
10
10
01
00
10
00
01
00
01
01
10
00
11
00
10
10
00
10
00
00
10
01
01
11
01
11
10
10
10
00
00
11
11
00
11
00
10
00
01
11
01
11
11
00
00
00
10
01
10
00
10
00
00
00
10
10
00
11
10
00
11
10
10
00
00
00
10
00
10
11
00
10
01
11
10
00
00
11
00
01
01
10
10
11
00
00
00
10
00
00
01
00
00
01
10
10
00
11
00
01
01
11
10
01
00
00
10
11
10
01
01
10
00
10
10
11
10
01
00
10
11
01
00
00
00
10
10
01
01
10
10
00
10
10
10
00
01
01
00
10
00
10
10
11
00
01
01
10
01
01
11
10
10
01
00
01
10
00
10
01
11
11
10
10
00
00
00
00
10
10
01
00
00
00
10
10
10
10
00
10
00
00
00
01
01
11
00
00
00
10
10
10
01
00
11
10
11
00
10
10
01
00
01
01
10
11
00
00
01
10
00
00
10
11
11
00
00
10
10
10
00
00
00
01
10
11
10
00
10
01
00
10
10
01
00
11
10
10
00
01
01
10
10
01
00
10
11
00
00
00
10
10
10
10
00
01
10
00
01
10
01
00
10
10
11
00
01
10
10
10
11
10
10
10
00
10
01
10
10
10
11
10
10
01
10
10
11
01
00
01
10
00
00
10
00
00
00
11
00
10
10
11
00
00
10
01
00
00
00
00
10
00
10
10
10
01
11
00
10
00
11
10
10
11
10
01
01
00
00
10
00
10
01
10
10
01
11
00
11
00
10
11
11
01
01
01
00
00
01
00
11
10
10
00
00
00
10
01
00
11
10
00
11
10
10
00
01
11
10
00
00
00
00
10
10
01
01
11
11
10
00
00
01
11
00
00
10
11
00
10
10
10
00
10
00
00
10
11
10
00
01
01
11
10
10
00
11
10
01
00
11
11
11
10
10
10
00
01
00
11
10
01
00
01
00
01
11
10
00
00
10
01
11
10
11
10
10
10
10
11
00
10
00
00
00
11
10
11
11
01
00
00
10
10
10
00
10
10
00
00
10
11
10
10
00
11
01
10
00
10
11
00
01
10
11
10
01
11
00
10
10
01
01
00
11
10
00
10
10
00
10
10
00
01
00
00
10
10
00
01
01
00
11
01
01
10
00
10
00
01
10
00
00
11
10
00
10
10
01
10
00
01
01
00
01
00
00
00
10
11
11
11
10
11
10
10
01
10
00
01
01
00
10
10
10
11
10
10
11
10
10
11
00
11
10
00
10
00
10
00
10
01
00
10
10
11
00
10
01
10
01
01
00
11
11
01
01
10
11
00
01
10
01
00
11
10
10
10
00
01
00
01
10
10
10
01
00
00
00
11
11
00
01
11
01
10
10
10
11
00
00
00
10
10
10
00
00
10
01
10
10
10
00
10
00
00
01
10
10
10
10
10
01
10
01
00
10
01
10
10
01
10
01
01
10
01
00
11
11
00
00
01
00
10
10
00
11
00
10
10
10
11
10
00
01
00
01
10
11
11
00
01
01
00
10
00
00
10
00
01
10
00
00
10
10
11
10
00
10
00
10
00
00
10
00
01
10
10
00
10
00
11
10
00
00
10
00
11
00
11
11
00
00
10
00
01
00
10
00
10
10
01
01
10
00
11
10
10
01
00
10
11
00
00
00
00
11
10
00
10
00
01
11
10
11
01
00
10
11
10
11
10
00
10
01
10
10
00
01
00
10
10
00
11
11
00
10
10
01
00
01
11
10
00
00
10
10
00
00
00
10
10
01
11
10
01
11
11
11
00
00
00
01
11
10
00
00
10
01
00
00
10
00
00
10
00
01
00
10
00
11
00
00
10
01
10
01
10
00
11
01
00
00
01
10
11
10
10
01
00
10
10
01
00
00
01
00
11
10
11
10
01
10
00
00
11
10
01
00
10
10
00
10
11
00
10
11
10
10
10
11
00
10
11
00
11
11
00
01
11
11
01
00
10
11
00
11
00
01
10
00
00
11
00
00
10
00
10
10
10
10
10
00
00
10
01
10
10
10
10
00
10
00
01
11
00
01
10
00
00
10
11
00
00
10
00
11
00
00
00
00
10
10
10
00
00
11
10
11
10
01
00
00
01
10
00
01
01
10
01
00
01
00
10
10
11
11
00
01
11
10
10
10
01
01
00
00
10
10
00
00
00
10
00
10
00
01
00
01
10
00
10
00
11
11
00
01
00
00
10
10
01
00
00
10
11
00
10
11
01
11
10
00
11
00
01
11
01
01
10
01
00
10
10
00
00
10
10
00
11
00
10
00
00
00
00
10
10
11
00
10
00
00
00
10
00
00
11
00
01
00
00
00
01
01
10
10
00
00
00
11
00
00
00
00
10
10
11
00
11
01
01
10
01
11
00
00
10
10
00
00
11
00
01
11
00
10
00
00
10
00
00
10
10
00
10
11
00
10
00
10
10
11
00
00
00
10
01
00
10
10
11
00
00
11
00
11
10
00
11
01
01
11
00
00
00
00
11
00
00
11
01
00
00
10
10
00
01
10
01
10
10
00
10
01
00
00
11
00
10
00
01
10
01
01
10
01
10
00
10
10
00
01
10
11
11
10
01
10
10
10
00
00
10
10
00
00
10
10
11
10
01
00
00
10
10
00
10
10
00
11
11
10
00
00
11
10
00
01
10
11
10
10
01
00
01
00
10
11
00
11
10
10
00
00
00
00
10
10
00
10
11
10
10
00
11
10
10
11
10
01
01
00
00
00
10
11
10
01
00
11
00
01
10
10
10
00
11
00
10
10
11
00
10
00
10
11
10
00
00
11
01
00
10
10
01
00
00
10
00
11
11
00
01
01
10
00
01
10
00
00
10
00
00
10
10
10
10
10
01
01
10
10
00
01
10
10
10
01
10
11
01
00
00
10
10
00
00
10
10
11
00
10
01
00
01
10
10
01
00
00
10
00
00
10
10
11
01
11
10
11
00
10
00
00
11
01
01
10
01
10
00
00
00
10
00
00
11
01
00
01
11
01
00
10
11
00
01
10
10
01
11
00
11
01
00
10
10
01
10
00
00
11
11
10
10
10
11
10
11
00
00
00
10
10
01
00
11
01
01
00
00
01
10
01
01
00
10
10
10
01
00
11
00
01
10
10
11
00
10
10
10
00
10
00
00
01
10
11
10
01
10
01
00
10
10
01
10
11
10
00
11
01
01
00
10
10
10
01
01
10
10
11
00
01
10
01
10
10
00
01
00
10
10
01
10
00
01
10
01
00
10
10
00
00
10
10
00
01
01
00
00
10
10
00
11
10
11
10
00
00
10
10
11
10
01
00
01
01
11
10
01
00
00
10
10
10
00
10
10
10
01
11
11
00
01
01
10
10
00
00
10
10
00
01
11
10
11
00
11
00
01
00
11
00
00
11
10
10
01
00
00
01
11
10
11
00
11
01
00
10
10
00
01
01
11
10
00
01
11
00
00
10
00
10
00
00
00
10
10
11
11
01
10
00
00
00
10
10
01
00
10
11
11
10
10
00
00
10
10
01
00
10
10
00
01
00
11
10
00
00
01
10
10
10
01
00
10
11
01
10
10
10
00
00
01
00
10
00
01
10
01
01
00
01
10
10
11
00
01
10
00
00
00
01
01
00
10
00
00
10
11
01
00
10
10
11
00
10
10
01
10
00
11
10
10
10
00
10
11
00
10
11
00
00
00
10
00
10
11
10
00
00
10
01
10
11
10
01
00
00
00
10
10
01
10
10
01
00
00
00
10
01
00
10
01
01
00
10
00
00
10
00
10
01
00
11
11
01
00
01
10
01
11
11
00
10
00
00
01
10
10
01
01
00
00
10
10
10
00
10
10
10
10
00
01
11
10
01
01
00
00
10
00
10
01
00
00
00
10
01
10
00
10
00
10
11
00
10
11
01
10
10
11
11
10
01
01
00
11
00
10
10
00
10
10
01
00
00
10
01
00
10
00
00
00
10
00
00
11
00
10
10
00
00
00
00
11
10
01
01
11
01
11
00
00
11
11
10
10
00
10
00
01
01
01
10
11
00
11
00
10
10
00
01
11
01
10
01
00
00
01
11
01
00
10
10
00
11
11
00
00
10
10
11
11
00
00
10
00
10
00
00
10
10
11
11
01
00
01
00
11
10
01
11
10
00
01
00
10
11
01
00
10
00
00
10
01
10
11
01
00
10
10
10
00
01
10
10
00
10
01
11
10
00
00
10
00
10
00
11
10
11
01
00
11
11
01
10
11
00
10
10
10
00
11
01
01
11
10
10
01
00
11
10
00
00
10
01
00
00
10
00
10
00
00
10
10
01
01
00
10
00
10
10
00
10
11
00
00
00
10
01
10
01
11
10
00
00
11
10
00
00
00
10
00
10
10
10
00
00
11
10
11
11
10
10
10
00
10
00
00
10
11
10
00
11
10
11
00
11
00
10
10
00
00
10
10
00
01
01
01
10
10
01
00
00
10
10
11
00
01
01
10
11
10
00
10
10
10
10
10
00
10
10
10
00
10
11
10
10
10
01
01
00
11
00
00
01
10
10
10
01
10
00
00
01
00
11
10
11
01
01
10
10
10
00
00
11
10
01
10
10
10
01
01
10
01
00
00
10
00
01
10
11
10
00
00
00
00
11
10
00
10
10
10
00
10
10
11
00
01
10
01
10
11
01
00
00
11
10
01
10
00
00
00
10
11
00
00
10
11
11
00
10
11
01
00
11
10
00
00
10
11
00
10
10
00
00
11
00
01
11
10
01
11
10
00
10
11
10
00
00
10
00
00
10
00
00
00
11
01
10
10
00
00
00
00
11
11
10
11
01
01
00
00
11
00
10
11
01
11
11
00
10
11
10
01
10
10
00
00
10
11
10
10
00
00
01
01
10
10
10
10
01
10
11
00
00
10
00
01
10
10
01
00
10
10
11
00
00
00
10
10
11
10
10
00
00
01
00
11
10
10
00
01
11
01
10
11
10
11
01
01
10
11
00
00
01
00
10
10
00
00
10
10
10
10
00
10
00
00
10
00
00
01
11
11
00
00
00
11
00
01
10
10
11
00
11
01
11
11
10
11
00
01
10
00
01
00
10
10
00
11
01
00
10
00
00
00
10
10
00
00
11
11
10
10
10
10
10
11
01
01
01
00
00
01
01
11
11
00
11
10
10
11
00
01
11
10
01
00
10
10
11
00
10
00
01
01
01
01
10
00
10
00
10
10
00
01
10
00
01
00
00
10
11
11
10
00
01
00
11
10
00
10
10
10
10
00
00
00
11
00
10
11
10
00
00
01
00
01
00
00
11
01
00
00
11
10
00
11
10
01
11
11
10
10
10
11
10
01
00
10
00
00
11
10
01
00
11
01
00
00
11
11
10
00
00
10
10
10
00
00
10
10
01
10
01
10
10
00
00
11
00
10
10
10
00
10
01
10
11
11
00
10
00
00
10
10
00
00
10
11
10
11
01
01
00
10
11
10
00
11
10
00
00
10
10
00
01
10
10
01
01
01
10
00
01
11
00
00
11
10
00
11
11
11
00
10
00
00
00
11
01
00
00
10
01
00
01
00
10
10
00
01
11
00
00
10
10
10
01
10
11
01
00
11
00
00
10
01
00
01
00
10
10
11
00
10
11
00
11
11
10
01
10
00
10
00
01
10
00
01
11
11
01
01
10
01
11
00
11
11
00
10
10
00
01
10
10
00
10
11
10
01
00
00
10
10
01
00
10
10
11
00
10
10
01
01
10
10
00
10
10
11
10
00
10
10
10
11
00
01
11
11
01
10
01
01
10
11
00
10
00
00
10
01
10
11
00
11
10
00
00
00
01
01
10
10
10
00
11
10
01
10
00
11
10
00
00
00
10
11
10
00
01
01
01
01
01
10
00
00
10
11
00
01
00
11
10
00
00
00
00
11
00
01
10
00
10
11
10
10
11
01
01
00
00
01
00
11
10
10
00
00
00
10
00
01
10
11
11
00
10
00
01
10
00
00
10
01
01
00
10
00
00
11
10
01
11
10
01
10
11
01
01
10
10
10
00
10
10
01
00
00
11
11
01
11
11
00
11
00
00
10
10
11
10
01
11
01
01
10
01
00
10
10
01
00
11
11
01
11
10
00
00
10
10
00
10
11
00
01
10
01
10
00
00
10
00
01
01
10
00
00
10
10
11
00
00
10
00
00
00
10
00
10
00
10
01
01
00
00
01
01
10
00
01
10
11
00
01
10
11
10
11
10
11
00
11
00
00
01
00
10
10
01
00
01
10
01
11
00
01
10
01
01
00
11
10
10
10
00
00
11
01
00
01
00
11
10
00
11
01
10
11
00
11
10
11
00
10
10
01
00
11
00
00
01
10
01
01
11
10
10
00
00
01
00
10
10
00
10
10
11
00
11
00
10
01
00
00
00
00
11
10
10
00
00
10
00
00
10
10
11
00
00
00
01
00
10
00
00
10
10
10
00
11
10
01
10
00
00
10
00
01
00
10
00
10
00
11
10
01
11
00
10
10
10
01
00
10
10
10
10
10
10
00
00
11
00
00
01
10
00
11
11
01
10
10
01
00
10
00
10
10
00
11
00
10
01
10
00
00
01
11
01
01
11
11
10
01
00
01
10
10
10
01
10
00
10
11
11
10
11
00
10
00
11
00
00
11
00
01
10
01
10
11
10
00
10
11
00
00
11
10
10
01
10
01
00
01
01
10
01
10
01
11
00
10
01
10
10
00
00
01
00
11
10
00
10
10
01
10
11
01
01
11
11
00
01
11
10
00
10
00
11
10
00
10
10
10
00
10
11
00
00
01
01
11
00
01
11
10
10
10
00
11
10
00
00
10
11
10
10
00
10
01
00
01
01
10
10
00
11
10
11
10
00
00
00
01
00
00
11
10
11
00
01
10
10
00
00
00
00
11
10
00
11
11
10
10
00
00
01
10
11
00
01
00
10
10
01
10
10
10
00
01
10
00
11
11
00
11
10
00
00
11
10
00
01
10
11
00
10
00
11
10
10
10
01
01
11
00
00
00
10
01
10
10
00
10
10
10
10
00
11
10
01
00
01
00
00
00
00
10
00
00
11
01
00
00
00
00
10
10
00
10
00
10
00
00
00
10
00
10
01
10
00
10
10
01
00
01
11
00
11
01
10
10
10
00
00
10
11
00
01
10
01
00
10
00
00
10
11
00
01
10
00
00
10
11
00
11
01
01
10
01
10
10
01
01
00
01
01
10
10
00
01
01
00
11
10
01
00
00
11
11
00
00
00
01
01
10
10
11
00
01
00
10
10
11
00
00
00
10
11
11
10
10
00
00
01
10
10
00
11
10
00
00
00
00
10
01
11
11
01
00
00
01
00
10
01
01
11
00
00
00
01
10
01
10
11
00
10
10
10
10
10
00
00
11
00
00
00
00
01
00
00
11
11
11
10
10
00
11
10
00
01
10
00
01
01
11
10
00
10
11
11
00
00
10
01
01
10
00
11
10
00
00
00
00
10
10
11
00
10
10
11
10
00
01
01
00
00
00
10
10
10
00
00
11
00
10
01
00
00
11
01
00
00
10
01
00
11
10
01
01
10
00
11
10
00
10
10
10
00
11
00
10
10
10
00
10
00
01
01
11
10
01
00
00
10
11
00
00
11
11
10
10
01
01
11
11
00
00
10
10
01
01
10
11
01
10
11
10
00
10
11
00
00
00
10
00
00
10
10
10
01
00
01
11
11
10
00
10
00
00
00
00
11
01
00
10
10
00
00
10
00
01
00
01
10
10
00
00
11
11
11
10
11
11
00
11
00
10
00
10
00
00
01
10
10
10
00
10
00
11
11
00
00
11
01
00
11
10
00
10
01
10
10
00
00
00
00
10
00
00
01
00
00
10
11
01
10
10
00
00
01
00
01
11
11
10
10
11
01
00
11
11
11
01
00
00
00
11
11
00
01
10
00
01
10
10
01
01
10
00
10
11
00
11
01
10
10
11
10
10
00
10
00
01
10
00
01
10
11
00
00
11
11
11
01
00
00
01
10
10
00
01
10
01
01
10
10
10
11
00
10
10
00
00
10
10
01
11
10
10
00
10
10
00
00
01
10
10
01
00
00
11
10
10
00
00
10
00
10
10
11
11
11
11
10
00
01
10
10
00
01
11
11
01
10
11
00
10
00
00
11
11
01
00
00
01
10
10
10
01
00
11
11
00
11
00
10
01
01
11
10
10
01
10
00
00
01
10
10
00
10
10
01
10
10
10
00
10
10
11
01
01
11
10
11
00
10
01
00
01
10
10
00
10
10
01
10
11
11
10
01
00
10
11
01
00
10
11
00
10
11
00
11
10
00
01
00
00
10
00
00
00
00
10
10
00
10
00
00
11
10
00
01
01
00
00
11
11
00
10
01
00
11
01
11
00
10
11
10
00
00
10
11
10
01
11
00
00
11
00
00
00
10
01
00
00
10
10
00
11
00
00
00
10
11
11
00
00
10
11
10
00
11
00
10
00
00
10
01
00
10
11
01
11
01
00
11
00
01
10
01
01
10
00
01
00
01
10
00
11
10
11
01
00
10
10
01
10
11
11
01
10
00
11
00
00
01
11
10
11
10
00
00
10
10
11
01
01
00
11
01
00
01
11
11
01
00
10
10
00
10
00
01
11
00
00
00
00
10
10
01
01
00
00
10
01
10
11
11
10
10
01
00
10
11
01
01
00
00
11
00
00
00
10
10
10
00
01
00
00
10
10
00
01
10
01
10
10
00
00
10
10
10
10
00
10
10
11
00
00
00
10
00
00
00
10
00
00
00
10
11
00
10
01
10
01
10
00
10
00
00
01
10
11
10
10
00
00
00
11
00
00
10
11
00
00
00
00
11
10
01
00
10
11
00
11
10
00
10
10
00
01
11
11
10
01
11
01
01
10
01
00
10
11
10
00
01
10
10
01
11
00
11
00
00
01
00
01
01
00
10
00
00
10
01
11
11
00
00
10
10
00
10
00
01
10
00
01
10
10
00
10
00
10
00
00
10
10
10
00
00
10
11
00
10
11
00
00
00
10
01
10
00
00
10
10
10
00
00
11
10
00
01
00
01
00
00
10
11
00
11
11
00
01
10
01
11
00
01
10
10
01
00
10
00
00
10
10
10
01
00
00
01
01
00
11
11
11
11
10
00
00
11
10
00
01
10
11
10
10
10
11
00
10
00
10
10
00
00
10
00
10
00
01
01
01
10
11
00
00
00
00
10
10
00
10
11
00
10
10
11
00
00
01
01
10
11
00
00
11
11
00
01
01
10
10
00
10
10
00
01
11
00
00
00
11
01
10
10
00
00
10
00
11
11
10
00
01
00
10
10
00
01
00
10
00
10
00
00
00
00
01
10
00
10
01
00
10
01
10
10
10
10
00
10
01
00
10
10
11
10
10
00
00
10
00
00
10
11
11
00
10
10
00
10
11
11
00
01
11
10
10
11
00
01
11
10
11
01
11
11
00
00
10
00
00
00
01
11
00
00
00
11
00
11
01
00
11
10
11
00
01
10
10
11
00
00
00
00
10
10
00
00
10
11
11
01
01
11
00
01
10
11
11
00
01
10
10
01
10
11
01
01
10
10
10
00
10
10
00
00
10
01
00
00
11
01
10
11
00
01
10
10
10
10
11
00
00
01
01
11
00
01
01
11
00
00
10
10
10
00
10
10
10
01
00
11
00
10
10
10
00
00
10
11
00
10
10
00
00
10
10
00
10
11
10
00
00
11
11
10
11
00
01
11
10
10
01
00
11
01
00
10
01
10
10
11
00
00
01
10
11
10
11
00
10
11
00
10
11
10
00
01
11
11
01
01
00
10
10
01
10
11
00
01
00
01
11
00
01
10
10
10
00
01
11
00
01
10
10
10
10
00
00
10
11
01
10
10
01
00
11
10
00
10
10
00
11
10
01
10
10
00
10
01
01
10
11
11
11
00
01
11
01
00
11
01
00
10
11
00
01
11
10
10
00
00
11
10
00
00
01
11
00
00
00
01
10
00
11
10
00
10
11
10
00
00
00
01
10
10
11
01
10
00
01
01
10
11
10
00
00
10
01
00
01
10
11
01
01
11
10
01
00
10
10
10
10
00
10
10
01
00
01
00
01
01
10
10
00
10
11
00
00
10
00
01
00
10
10
01
00
10
10
00
11
11
11
10
00
11
10
10
01
00
10
00
01
10
00
01
00
11
10
00
10
11
01
00
01
11
00
10
10
01
00
10
10
01
10
10
10
00
10
11
01
10
10
10
00
10
11
00
00
11
10
00
00
01
01
10
10
01
11
10
00
10
10
00
10
00
00
10
11
01
10
10
01
10
00
10
10
10
00
10
01
10
10
10
01
01
10
10
11
01
00
10
10
10
10
01
10
00
00
10
10
00
00
01
01
10
00
10
10
00
01
10
00
00
00
00
10
10
10
10
01
00
00
10
00
00
01
10
11
11
10
01
10
00
00
00
10
11
10
00
00
11
00
00
00
10
00
00
00
11
10
01
10
00
00
00
10
11
10
00
00
00
10
11
10
00
00
10
11
00
00
10
10
00
01
00
00
01
10
01
00
01
10
11
00
11
10
10
01
01
00
11
00
10
00
10
10
00
11
10
11
00
10
11
11
00
10
00
00
10
10
10
11
00
11
10
10
11
10
01
11
11
01
10
10
10
10
00
00
01
10
10
00
00
11
01
10
01
01
00
11
10
01
00
10
10
00
11
10
00
10
01
01
11
00
10
00
00
11
00
10
10
10
11
00
01
00
00
11
11
10
10
10
00
11
01
10
10
11
00
10
01
01
10
11
00
11
11
10
10
00
10
10
00
00
10
01
11
00
10
00
10
11
10
11
00
00
10
11
00
00
10
10
00
11
00
10
01
00
10
10
11
11
00
11
00
00
01
01
10
10
10
11
00
00
01
00
10
10
10
10
10
10
00
00
01
11
00
11
01
00
00
00
10
00
10
11
01
00
01
10
10
11
10
10
00
10
10
11
00
00
10
01
01
00
11
00
00
11
10
00
00
01
10
00
01
00
10
11
10
00
00
10
10
10
01
11
01
10
00
01
00
00
00
10
10
00
01
01
01
01
01
11
00
00
11
10
00
00
10
10
10
10
01
10
10
01
00
10
00
11
00
10
01
00
11
00
11
00
01
10
11
10
10
11
01
10
10
11
01
00
00
10
10
01
11
10
00
00
10
00
00
00
01
00
00
10
01
10
10
10
01
00
01
10
11
00
01
00
00
01
01
00
11
11
01
10
01
10
11
00
00
01
11
00
00
00
10
11
00
10
10
10
10
00
01
10
10
11
01
10
01
11
00
00
10
11
10
00
01
10
10
00
10
10
11
01
00
00
00
00
11
00
10
10
00
00
01
10
10
11
11
00
01
10
10
10
10
01
01
00
00
00
00
10
10
10
01
00
11
00
10
00
10
11
11
11
10
00
10
11
01
00
11
11
00
11
11
01
10
00
00
10
10
01
00
00
11
10
10
10
10
10
11
00
01
00
00
11
10
00
00
01
11
10
11
01
01
01
11
01
00
10
10
10
00
10
10
00
01
11
00
01
10
00
11
00
01
10
10
00
00
10
11
00
01
00
00
01
10
11
00
10
10
10
01
01
10
10
10
00
11
10
00
00
10
00
11
00
10
00
11
11
01
10
10
00
00
00
00
00
11
10
01
11
11
00
00
10
11
01
00
00
10
10
00
11
00
10
10
01
00
11
00
01
00
01
10
11
10
00
01
10
10
00
10
10
10
10
00
00
10
10
10
10
11
00
00
10
10
00
10
00
00
01
00
10
11
00
00
00
11
11
01
00
01
01
10
10
00
10
10
11
11
11
10
00
00
10
01
00
01
01
10
00
00
10
10
10
01
01
00
00
10
10
00
00
01
00
11
11
10
10
00
00
11
10
10
00
00
10
10
00
00
00
11
11
11
11
10
10
10
01
11
10
01
00
11
10
00
11
00
00
00
10
11
11
00
11
10
00
01
00
01
00
01
10
00
10
10
10
00
10
00
11
00
01
11
10
00
00
10
10
00
11
10
10
00
00
00
00
00
01
10
11
00
10
11
00
10
10
00
10
00
00
10
10
00
11
10
00
10
00
11
00
00
00
11
11
01
00
00
10
10
00
10
01
01
10
00
01
11
00
00
11
01
10
10
10
11
00
10
01
00
00
11
10
10
00
00
10
00
01
10
11
00
00
11
00
00
01
01
00
01
10
01
11
10
10
01
10
11
00
10
11
01
01
00
00
10
00
11
10
01
11
11
11
10
10
00
00
10
11
00
00
00
10
01
11
10
10
01
10
10
10
00
01
01
11
11
01
10
11
00
00
00
10
01
00
01
10
11
00
00
00
01
00
10
00
10
10
00
10
00
00
00
01
10
01
00
10
10
00
00
11
10
00
11
11
11
01
00
11
10
11
11
10
01
11
01
00
11
00
01
00
00
11
11
10
11
10
00
10
11
01
11
10
01
11
00
00
10
10
00
10
01
00
10
11
01
11
10
00
00
11
00
01
11
11
00
00
10
10
01
00
10
10
10
01
00
01
00
00
10
01
10
10
10
00
10
11
10
00
10
10
00
10
00
11
00
11
11
00
01
10
10
10
01
00
10
10
00
10
10
11
00
10
00
11
00
10
01
10
10
00
01
00
00
00
00
01
11
00
10
10
10
00
00
10
11
01
00
10
10
10
01
10
01
11
10
10
10
11
00
11
10
01
00
10
10
00
10
11
10
00
00
00
00
10
10
11
01
00
10
10
10
00
10
01
00
10
10
10
00
11
00
01
10
00
00
11
00
00
11
10
01
00
11
10
00
10
10
00
01
10
00
00
10
11
11
00
10
10
00
10
10
00
10
11
00
00
00
01
00
00
00
10
11
10
10
10
10
00
00
10
10
10
00
11
01
00
01
00
11
10
10
10
10
01
00
00
11
00
00
10
00
00
00
10
11
10
01
10
10
00
00
11
00
00
11
00
00
00
00
11
11
11
00
10
10
11
00
10
10
00
00
10
10
11
00
10
10
00
10
11
00
10
00
00
10
10
01
11
00
11
01
01
10
00
10
10
00
01
01
10
10
11
10
11
00
10
01
00
01
00
01
10
11
10
10
10
01
00
10
10
01
11
11
10
11
00
00
11
10
01
10
01
00
10
10
11
10
01
10
11
10
10
00
01
01
11
11
00
00
10
00
00
11
10
00
10
00
00
00
10
10
00
01
11
10
10
01
00
00
00
11
11
11
00
01
10
10
01
01
00
10
01
11
01
01
11
10
00
00
00
11
10
00
00
10
01
01
00
11
10
01
10
10
00
00
01
11
10
01
00
10
10
00
00
11
10
11
01
00
00
01
01
11
10
11
00
01
10
01
10
11
11
00
10
10
10
10
00
01
10
11
10
11
01
10
01
00
10
10
10
01
00
10
10
00
00
11
10
10
10
10
01
00
11
11
00
00
10
00
00
00
00
00
10
11
01
01
11
11
01
11
10
00
01
10
10
10
00
00
10
01
00
11
00
10
01
00
10
11
00
00
00
10
11
10
10
01
10
00
01
10
10
00
11
01
10
00
00
11
00
11
11
10
10
11
11
11
11
01
00
11
10
01
11
10
11
00
00
10
00
01
11
00
00
10
10
10
01
11
10
00
01
10
00
00
10
10
00
01
01
10
10
01
00
00
11
10
00
10
10
00
01
11
10
10
00
01
11
10
11
00
00
01
10
10
00
01
11
10
10
00
11
10
01
01
10
10
00
11
11
01
00
01
10
10
10
10
10
00
10
11
11
00
00
00
11
10
00
01
10
10
11
10
00
10
10
00
10
10
00
11
00
11
10
00
01
11
00
01
11
00
10
10
10
00
11
10
00
10
00
10
00
11
00
11
00
10
10
11
10
00
01
01
10
01
01
11
01
00
10
10
10
10
00
00
00
10
00
10
10
10
11
10
01
00
11
01
00
10
10
10
01
00
10
00
00
10
00
10
11
00
00
00
01
10
00
00
11
11
00
00
01
00
00
10
10
00
01
10
00
00
11
10
11
10
01
11
11
10
10
00
00
10
01
00
10
01
01
00
10
00
10
11
10
11
00
01
10
11
10
01
00
00
01
11
00
00
00
10
00
11
10
11
11
01
00
00
10
00
01
00
11
10
00
00
00
11
10
00
00
00
10
00
11
00
10
10
00
10
00
00
10
00
00
10
00
00
11
01
11
11
00
00
00
10
00
10
10
00
10
10
00
10
10
01
00
01
01
10
00
10
11
00
01
10
00
00
00
01
10
10
00
10
11
00
00
00
11
00
00
10
10
10
00
11
11
00
01
10
10
10
00
10
10
00
00
01
00
11
10
11
00
00
11
00
00
10
10
00
01
00
01
00
00
01
10
01
10
00
01
00
00
10
00
00
01
11
00
00
00
01
10
11
10
01
10
10
11
00
01
10
11
00
00
10
10
00
01
10
11
10
00
11
00
01
01
11
10
01
00
10
01
00
11
00
00
11
00
00
10
01
00
01
10
01
10
00
00
10
10
00
00
10
01
00
01
00
00
10
01
00
11
10
01
10
00
01
00
00
10
10
00
10
10
00
00
00
01
11
10
10
10
11
01
00
11
01
00
10
01
10
10
10
01
10
10
01
01
10
10
01
10
00
10
00
00
10
00
11
00
10
10
10
10
10
10
10
01
00
10
11
11
10
00
00
01
10
00
01
10
11
00
10
10
10
01
10
00
01
00
00
11
10
01
11
00
01
01
11
00
10
11
00
01
10
10
10
11
00
00
00
01
10
10
00
10
10
01
01
11
10
00
10
00
00
01
10
10
01
01
10
00
00
11
10
11
01
11
10
10
11
01
11
10
10
00
11
11
00
00
11
10
01
00
00
11
01
11
10
10
10
01
01
00
00
10
10
10
11
00
01
10
10
00
00
00
00
00
11
10
00
11
10
10
01
10
10
00
00
11
00
10
00
00
10
10
11
00
11
11
00
01
11
01
10
11
00
10
11
00
10
10
11
10
01
01
01
10
10
10
00
01
11
01
00
00
10
00
00
10
11
00
00
10
10
11
11
11
10
11
01
01
11
00
00
10
10
01
11
10
10
10
01
10
11
00
00
11
10
11
11
01
00
01
10
10
11
01
10
10
00
10
00
11
00
00
10
10
11
10
00
10
01
00
11
01
10
10
01
01
10
10
00
00
10
11
00
01
11
00
00
10
01
10
10
00
10
11
10
10
00
01
10
01
00
10
11
10
01
10
00
01
11
00
00
00
10
01
10
01
11
00
00
11
00
10
10
00
00
00
10
11
10
00
01
11
10
00
00
10
10
11
00
00
11
10
00
11
11
11
10
01
10
01
10
10
00
01
00
10
11
10
01
00
10
00
00
10
00
00
00
10
10
11
10
10
10
11
00
10
01
00
10
00
11
01
01
00
10
10
00
10
10
10
00
11
00
01
00
00
10
00
10
00
00
11
00
01
11
11
10
00
10
00
10
10
01
00
10
10
11
10
01
00
10
10
10
01
00
01
11
00
10
00
11
10
01
00
00
00
11
00
00
00
11
10
10
11
10
10
10
01
00
11
00
00
00
10
00
00
11
00
11
00
01
11
10
11
01
01
10
00
00
11
10
10
10
10
10
10
01
01
11
11
00
10
00
00
00
10
10
00
00
01
10
10
10
10
00
10
10
10
00
00
10
01
01
00
11
10
00
10
00
01
10
10
00
10
11
11
10
01
01
11
10
00
01
00
00
10
11
00
10
10
00
10
00
00
10
10
11
10
00
01
11
01
11
11
11
00
01
10
10
01
01
11
10
11
01
10
11
01
00
10
11
00
00
10
01
00
11
10
11
00
00
00
10
00
00
10
10
10
00
10
00
01
11
10
10
00
11
10
11
01
01
00
10
01
10
00
00
10
11
00
11
00
10
01
11
00
11
10
00
10
00
00
11
11
00
00
10
10
01
01
10
01
00
00
01
01
11
10
01
00
01
00
10
10
10
01
10
10
00
11
10
10
00
10
01
00
01
10
00
10
01
00
10
11
00
00
10
00
10
00
00
10
10
00
01
11
00
00
11
00
10
10
01
00
10
00
00
10
10
10
00
10
01
10
11
00
00
10
11
11
10
00
11
00
00
10
10
10
11
00
00
00
01
10
01
10
10
01
00
01
10
00
01
10
10
10
00
11
10
00
11
00
01
00
01
00
11
10
01
10
10
00
01
01
11
10
01
10
10
00
01
00
10
01
11
01
00
10
10
01
10
10
00
10
10
00
00
10
10
00
00
11
00
10
01
01
00
01
10
10
10
00
01
01
11
10
11
00
00
01
01
11
10
00
10
10
00
01
10
11
10
00
10
10
10
10
00
01
01
11
00
11
11
01
10
10
00
01
01
01
11
10
00
10
10
00
00
11
10
00
01
00
10
01
10
11
00
00
10
10
00
00
10
10
01
00
10
11
00
10
00
11
00
10
10
00
00
10
10
10
10
10
10
00
11
10
11
01
10
11
10
01
10
00
00
11
10
10
01
01
10
01
10
00
10
10
00
10
01
01
01
10
00
01
11
11
00
00
10
10
10
10
01
01
10
10
10
10
10
11
00
10
00
00
10
10
10
00
00
00
10
11
01
00
01
10
11
10
11
00
00
11
11
11
10
00
10
10
01
10
11
10
00
01
00
11
00
00
10
10
00
00
11
10
10
00
00
00
11
00
10
10
00
01
10
00
00
00
10
10
01
10
10
00
01
10
10
01
00
00
00
10
11
10
10
01
10
10
10
10
01
01
00
11
01
01
11
01
00
00
10
00
10
10
00
01
10
01
11
11
00
10
00
10
01
10
11
01
10
00
00
01
00
10
10
10
10
01
00
00
00
11
10
00
00
10
10
00
11
00
10
00
10
10
10
01
00
11
00
01
00
00
10
01
11
11
10
01
10
11
01
00
10
10
11
01
11
10
10
10
01
10
00
01
10
10
10
11
10
01
00
11
11
01
11
00
11
10
00
10
00
00
11
00
01
00
00
00
00
00
11
00
00
00
10
11
00
01
00
10
10
11
11
01
00
11
10
01
01
10
01
00
10
10
10
10
11
10
01
00
00
01
11
10
10
00
01
00
10
10
00
11
10
01
01
01
00
11
11
10
00
00
01
11
10
01
10
01
10
10
00
01
10
11
01
00
10
10
01
00
00
10
00
00
10
10
10
11
00
00
00
10
01
10
10
00
00
11
01
01
10
00
01
10
00
00
00
11
11
10
10
00
00
00
11
01
10
11
01
00
00
10
00
10
11
01
10
11
01
10
10
10
00
00
11
11
00
10
10
10
11
10
00
10
10
00
01
00
01
00
10
01
01
10
10
01
00
01
11
10
00
10
10
01
00
10
10
10
10
10
00
00
00
01
10
10
01
10
10
11
10
01
00
10
10
01
10
00
01
10
11
11
10
11
10
11
11
10
00
01
10
00
11
10
11
00
11
10
01
00
01
10
01
00
11
01
10
10
00
10
01
10
11
00
01
11
00
11
10
01
10
10
01
00
00
10
11
00
10
10
10
10
00
00
10
00
00
00
00
10
00
00
00
01
10
10
00
01
00
00
10
01
00
01
10
00
10
10
00
10
11
00
10
10
00
00
10
10
01
00
00
00
11
10
11
00
10
00
00
01
11
11
01
00
10
00
00
00
01
10
11
00
00
10
00
11
10
00
00
00
00
00
10
10
00
01
11
11
10
10
00
00
00
01
10
10
01
10
00
00
01
01
00
00
11
11
01
10
10
10
01
00
11
00
00
01
01
00
00
01
11
01
00
10
00
10
00
01
00
10
10
01
10
11
11
00
00
10
11
00
00
11
10
01
11
11
00
11
11
11
00
00
01
00
10
10
11
00
00
10
11
00
00
11
00
00
10
10
00
01
11
10
00
10
11
01
10
00
10
10
00
11
10
00
00
10
00
10
00
10
01
00
00
01
01
10
10
10
00
00
10
11
00
11
11
01
01
00
11
01
10
00
00
01
11
10
00
10
11
11
10
11
00
10
11
10
00
00
10
00
10
10
10
00
01
01
00
00
00
10
00
11
10
01
10
11
10
10
00
10
11
01
01
00
10
00
00
11
10
00
00
11
01
10
00
10
00
10
00
00
11
00
00
10
10
10
01
01
00
00
10
11
11
00
00
11
01
10
01
10
10
10
11
10
00
10
01
11
10
00
11
10
10
01
01
10
00
00
00
10
10
00
00
01
10
01
10
10
00
10
10
10
00
00
10
01
00
00
00
00
01
11
10
10
01
01
10
00
00
00
11
10
00
01
11
10
10
00
10
01
10
00
10
10
10
00
11
11
00
01
11
10
10
00
10
11
01
01
10
10
00
01
11
10
00
01
00
01
10
01
00
01
11
11
11
00
10
00
11
01
01
10
10
00
01
01
11
10
10
00
10
10
00
00
11
01
01
00
00
11
10
10
00
11
11
10
01
00
10
10
01
00
10
01
00
10
11
01
10
00
01
10
11
01
01
11
00
01
10
11
10
11
00
00
00
10
00
01
10
10
11
10
01
10
00
01
10
10
00
00
01
11
00
00
11
10
10
10
00
11
11
00
10
11
01
00
10
01
00
01
10
01
00
10
10
10
01
00
00
10
00
10
10
11
00
10
10
10
00
01
10
01
00
10
10
10
01
10
10
00
01
00
11
10
01
00
01
00
10
00
10
00
01
10
11
10
10
11
01
01
00
11
10
00
00
00
10
10
11
00
10
01
10
00
10
10
00
10
11
00
01
10
10
10
10
00
10
10
01
00
10
00
01
11
00
00
10
10
10
00
00
10
11
00
00
10
00
10
10
10
10
01
11
00
00
00
00
00
00
10
00
00
10
10
10
00
00
10
10
00
10
11
00
00
01
01
10
00
11
01
01
10
00
10
01
10
01
01
10
01
10
10
11
00
01
11
00
11
00
10
11
11
10
00
00
01
00
10
01
00
00
11
00
00
00
10
11
11
00
10
10
00
00
11
10
10
10
11
00
10
00
11
01
01
00
10
00
10
11
00
11
10
01
10
10
11
00
01
11
01
00
00
01
10
00
10
10
10
00
00
11
00
11
00
00
00
00
00
01
10
10
10
00
00
11
00
10
10
10
00
10
10
01
00
11
10
00
10
00
01
10
10
00
00
10
11
01
11
00
10
11
11
10
00
10
10
11
00
00
01
11
10
10
00
10
10
10
00
00
10
10
00
00
10
10
00
11
01
00
00
10
11
00
10
11
01
10
01
00
11
00
00
10
00
01
00
00
10
00
10
10
11
10
10
01
10
10
00
10
00
10
00
10
10
00
00
10
10
01
00
00
01
10
01
00
10
11
01
00
00
00
00
01
11
11
11
00
00
10
10
00
00
11
00
00
01
01
10
10
10
01
00
00
11
11
00
10
11
11
00
11
00
00
11
10
11
01
00
00
01
10
10
11
01
10
00
10
00
10
10
10
10
00
11
11
10
11
11
01
11
01
01
10
11
01
11
10
01
01
10
11
00
00
01
00
11
11
10
01
01
00
00
10
10
00
10
00
00
10
10
00
11
00
10
00
10
10
10
11
11
11
00
10
00
11
00
01
11
00
10
01
01
11
01
00
11
10
11
10
00
00
01
00
11
01
10
10
00
01
10
01
00
10
10
01
00
01
00
00
00
10
00
11
10
00
01
01
10
11
00
10
10
10
01
00
00
10
01
00
10
10
10
00
01
10
00
00
01
10
00
00
11
00
10
10
01
10
01
00
00
11
10
11
10
10
01
11
10
00
00
10
00
11
10
11
00
00
11
00
00
11
10
01
11
00
00
10
10
00
01
11
00
01
10
11
01
11
11
00
01
10
11
00
01
10
10
00
00
00
10
10
10
10
11
00
11
00
00
10
10
11
00
01
10
01
00
10
01
01
00
10
11
00
11
01
11
00
10
10
00
00
00
01
10
10
10
00
00
01
10
11
00
00
00
00
01
01
10
11
10
00
10
00
11
00
00
10
10
01
01
11
11
11
10
10
11
01
00
10
11
10
11
01
00
11
10
01
11
01
01
11
11
00
00
10
11
00
00
11
10
10
11
00
10
01
01
01
01
10
00
00
10
00
00
10
11
10
00
01
00
00
01
00
10
00
00
10
01
00
10
00
10
11
00
01
10
00
00
01
00
10
10
01
00
11
00
10
00
00
11
01
10
11
00
00
01
10
01
00
11
10
11
10
00
01
00
10
11
01
11
11
10
00
10
00
10
10
01
01
00
10
01
01
10
01
10
10
00
00
10
01
00
10
11
11
11
01
10
01
01
10
00
11
00
01
10
10
00
00
00
11
01
00
10
11
10
00
11
11
10
11
00
00
10
10
11
00
00
01
00
10
00
00
11
10
10
00
01
00
00
10
00
00
00
10
10
00
11
00
10
11
01
10
01
00
11
11
11
00
00
00
11
00
11
10
00
00
00
10
11
10
01
10
00
10
00
00
00
00
11
10
00
10
00
00
11
00
10
11
10
11
10
11
00
00
00
00
10
11
00
11
00
01
01
00
10
01
10
10
00
00
00
10
01
11
01
00
10
10
10
10
00
00
10
11
00
10
01
10
11
01
00
10
11
00
01
10
10
00
10
00
01
00
01
00
00
11
11
00
11
00
01
00
10
01
10
00
00
01
11
01
10
11
11
01
00
01
01
00
10
11
00
00
10
10
11
00
00
00
10
00
00
00
10
10
00
00
11
00
10
10
01
00
00
00
10
11
11
01
10
01
00
00
10
11
10
00
00
10
00
01
11
00
11
01
00
10
10
00
10
00
00
10
00
11
10
10
11
11
00
00
10
01
00
00
01
10
10
00
10
10
10
01
10
00
00
00
10
10
00
00
10
10
01
11
10
10
10
00
10
10
11
11
00
10
00
00
10
01
00
11
00
00
10
01
00
00
00
10
10
01
00
10
10
00
10
10
11
00
01
00
00
10
10
11
00
00
10
10
10
00
10
11
11
10
10
11
01
00
01
10
10
11
11
01
11
10
00
01
00
10
10
00
00
10
00
11
00
11
10
10
10
01
00
10
00
01
10
00
01
10
10
01
00
10
01
00
00
01
10
11
11
01
00
10
10
10
11
00
10
00
00
10
01
00
00
10
10
10
10
00
01
10
01
01
01
10
01
01
00
11
00
10
10
10
10
10
11
00
00
00
11
00
11
11
00
11
10
10
00
01
10
10
00
00
11
00
01
01
10
10
10
10
00
11
10
00
10
10
00
10
01
10
00
10
00
11
10
10
11
00
01
00
00
00
10
01
11
00
10
10
01
10
01
11
10
00
10
00
10
11
10
10
01
11
10
01
00
11
00
00
11
00
01
01
00
10
11
10
10
00
00
11
10
00
10
10
00
00
10
00
01
10
00
10
10
00
11
00
01
00
10
00
01
00
10
10
10
11
00
00
10
10
00
00
00
01
00
00
01
10
01
00
00
10
01
11
11
01
01
10
01
00
00
11
10
00
00
00
11
00
01
00
11
10
10
11
00
10
10
00
01
10
10
10
00
10
01
00
10
01
01
11
10
10
00
00
10
10
00
01
10
11
11
10
10
00
00
00
11
10
10
01
00
00
00
11
01
11
11
01
00
00
00
01
01
11
10
00
10
10
00
00
10
10
10
00
10
00
00
10
01
11
11
01
00
00
01
11
10
00
10
00
01
00
01
10
01
01
10
01
00
00
10
00
00
10
10
01
00
11
10
11
10
00
10
01
01
10
00
00
00
10
10
00
10
10
00
00
00
10
10
10
01
01
00
10
00
00
10
10
00
10
00
10
00
11
11
01
00
00
01
10
01
10
11
00
11
01
10
10
00
01
01
00
11
01
10
00
10
00
00
10
10
10
10
00
10
00
10
00
10
10
00
00
00
10
11
10
00
10
10
01
00
10
11
00
10
01
10
11
10
01
01
11
10
00
10
01
00
01
11
11
10
00
10
10
11
01
01
11
00
00
00
10
10
01
01
11
00
01
10
00
01
11
11
01
10
10
00
00
00
10
00
00
10
10
10
00
00
00
10
10
00
00
00
01
10
10
11
01
01
10
11
01
10
10
01
01
10
10
11
10
00
11
00
01
00
11
10
00
01
01
01
11
00
00
00
00
10
11
00
01
01
10
10
10
11
00
00
01
10
11
01
11
10
01
00
10
10
00
00
10
11
00
00
01
00
10
11
00
10
10
00
00
01
11
11
11
01
00
01
10
10
11
00
01
10
11
00
00
11
10
00
00
10
10
00
00
00
11
10
00
00
10
00
00
00
01
10
11
11
01
10
10
11
10
10
00
00
10
01
01
10
01
11
11
00
10
10
00
00
00
01
10
10
00
10
00
11
00
01
01
00
10
00
00
10
01
00
10
10
01
00
00
10
10
11
01
01
10
00
01
10
11
00
00
10
01
00
01
10
10
11
00
11
01
00
10
01
01
00
00
10
10
11
11
11
10
10
10
00
00
00
00
10
00
00
00
11
01
10
00
10
11
10
00
01
10
10
10
00
10
00
00
10
01
10
10
10
00
00
01
00
00
10
10
00
10
01
00
01
00
10
11
10
11
11
00
00
10
10
01
11
10
01
00
10
10
11
01
00
00
10
00
10
00
00
01
00
10
00
11
00
11
00
01
00
00
10
00
10
10
10
00
11
10
01
10
11
01
01
11
00
01
10
01
01
10
10
00
00
10
10
01
10
10
00
10
10
00
00
10
10
11
00
00
00
11
11
10
10
11
00
01
00
11
10
00
11
10
11
10
00
10
00
01
10
00
00
01
00
01
00
10
00
10
00
00
11
11
00
00
11
11
00
01
00
10
01
00
10
01
00
11
00
01
11
10
00
00
00
10
11
01
10
00
10
10
00
01
01
10
00
10
11
00
10
10
00
01
10
11
00
10
01
00
00
11
10
00
10
01
11
10
01
00
10
00
00
10
11
10
00
11
10
00
00
01
01
11
10
10
01
10
01
10
01
01
10
00
01
01
01
00
10
11
11
00
10
10
10
01
10
11
00
00
01
11
01
00
00
10
00
00
11
00
00
11
10
00
10
11
11
01
10
01
10
01
01
00
00
11
00
01
10
01
10
10
11
00
01
11
10
00
10
11
00
00
00
10
10
11
01
00
10
01
01
10
00
10
00
11
11
00
10
11
01
10
00
01
10
11
10
00
11
01
00
10
00
00
01
00
11
10
10
00
01
00
10
01
00
01
00
10
11
01
10
00
00
10
10
10
00
10
10
00
10
00
00
00
01
00
10
01
01
10
10
11
00
11
10
01
11
11
11
01
10
10
00
00
00
11
10
00
10
10
00
11
01
00
01
10
10
11
10
11
10
00
00
10
00
01
11
11
10
00
11
10
00
01
11
10
01
01
00
11
00
00
10
11
01
00
11
01
11
10
10
00
10
10
00
11
11
00
01
10
00
11
00
00
10
00
01
10
10
01
00
00
10
10
00
00
11
01
01
10
00
10
00
00
00
11
10
00
00
00
10
11
00
01
10
00
10
11
00
00
11
10
01
10
01
10
10
00
00
01
10
00
10
10
00
00
01
11
11
00
10
10
10
10
10
01
01
00
11
11
00
01
10
11
00
11
00
00
10
10
00
10
11
00
10
11
01
00
00
00
10
00
00
11
01
00
10
00
10
00
01
11
00
00
10
00
01
11
01
11
00
00
10
01
10
11
10
00
01
01
10
11
10
01
01
11
00
10
10
11
01
01
10
10
00
00
01
00
10
00
10
01
11
00
10
10
11
10
00
00
10
10
10
00
00
00
11
11
00
10
11
10
11
00
00
11
10
10
10
01
00
00
10
10
10
01
10
11
01
00
00
10
00
00
10
10
11
01
11
10
01
10
00
11
00
00
00
11
00
11
00
00
10
01
01
10
00
10
10
00
00
10
10
10
00
00
11
11
00
01
00
01
00
11
00
10
10
00
00
10
00
10
00
10
11
10
00
10
10
11
10
01
00
01
00
00
10
01
11
01
00
10
10
00
10
00
00
10
11
01
10
11
00
10
01
10
10
10
01
00
10
11
00
00
11
10
01
00
00
10
11
00
10
10
01
10
01
11
11
10
11
10
10
10
10
00
00
10
00
00
10
10
11
10
00
10
00
01
01
11
00
00
10
11
00
01
10
10
11
01
10
10
01
01
01
10
10
10
10
00
11
01
01
01
11
10
00
11
10
00
00
10
10
00
10
11
00
11
01
01
00
01
00
00
10
11
00
01
11
01
11
11
10
11
00
11
11
00
01
00
00
10
10
00
10
10
00
00
00
11
00
11
00
00
10
01
01
10
10
01
10
10
00
10
00
11
10
10
00
00
10
01
00
10
11
00
00
00
01
10
01
00
10
00
01
00
01
11
00
11
10
00
00
10
11
10
10
10
10
10
00
00
00
01
10
00
00
11
00
10
10
10
10
01
11
11
01
10
10
10
10
01
00
10
10
00
01
10
11
01
00
10
11
11
11
01
01
11
00
00
10
11
01
00
00
11
11
00
00
00
00
10
10
10
11
01
10
01
10
11
10
00
10
00
00
10
11
00
01
00
10
11
00
01
00
10
10
00
10
11
10
00
10
01
11
11
00
00
11
00
00
10
00
00
00
00
10
10
10
00
00
01
11
01
00
11
10
01
10
11
11
00
00
00
10
11
01
00
10
01
01
10
11
10
00
00
01
10
10
01
00
00
10
00
01
10
11
10
10
01
10
11
11
10
00
00
11
00
01
00
00
00
10
11
11
00
11
10
10
10
10
00
00
00
10
10
10
01
00
00
01
11
01
10
00
00
10
10
01
10
10
01
00
11
00
01
11
00
10
11
01
00
00
10
01
01
10
11
11
00
00
10
00
01
00
11
10
01
10
11
01
10
10
00
11
11
01
00
10
00
01
01
10
01
10
11
10
10
00
01
01
00
11
10
11
11
00
00
10
10
11
10
00
10
11
00
00
10
11
11
00
10
01
00
10
00
00
00
10
10
11
10
00
10
10
01
11
00
11
10
00
11
01
01
11
10
00
01
00
00
00
10
10
00
00
01
00
00
10
10
00
00
10
10
10
00
00
01
10
10
01
01
01
10
10
01
11
00
11
01
00
10
01
00
10
10
10
10
00
10
01
01
10
00
11
00
10
01
00
00
10
01
01
10
10
10
11
00
01
10
00
00
10
10
11
10
00
00
00
00
11
01
00
00
10
11
10
10
00
11
11
00
00
00
10
00
00
10
00
01
10
10
11
01
11
11
11
10
10
01
00
01
10
00
11
10
00
11
01
01
01
10
10
10
10
00
00
10
10
00
00
00
10
00
10
00
00
11
10
11
11
00
10
00
00
00
10
10
10
00
01
10
01
10
01
10
10
10
10
00
01
00
10
10
00
00
01
10
01
10
01
01
10
01
01
10
10
00
10
10
00
01
10
10
11
00
00
01
10
10
00
10
01
10
00
01
10
10
01
11
10
11
00
10
00
00
11
00
01
10
01
10
10
10
10
01
00
00
10
10
00
10
11
11
00
00
00
10
10
00
11
11
01
10
11
01
00
10
10
00
00
10
01
10
00
01
10
10
10
00
11
01
01
00
00
10
10
11
00
00
10
00
00
11
10
11
00
01
00
10
00
01
00
00
01
11
00
01
10
00
01
01
01
11
10
00
01
10
10
01
00
10
10
00
00
00
10
10
00
10
10
11
11
01
11
01
01
10
00
01
00
11
10
00
01
10
10
10
00
00
10
10
10
00
00
00
10
10
00
00
01
00
01
10
00
10
11
00
00
01
10
10
00
00
10
01
00
11
00
01
00
11
10
00
11
11
00
01
10
10
10
10
01
10
00
00
01
10
00
00
10
01
10
01
01
11
10
11
11
11
10
00
00
00
00
01
11
10
11
01
10
10
01
01
11
00
01
11
10
00
10
10
00
10
00
01
00
01
10
11
10
10
00
10
10
10
01
01
01
10
01
10
01
00
10
10
00
00
10
00
10
01
00
00
11
11
00
01
01
10
11
00
00
11
00
00
10
10
00
01
10
00
01
00
10
00
10
11
10
00
11
01
00
00
11
00
10
10
01
00
10
10
01
01
00
10
00
10
10
01
00
10
11
11
01
00
11
00
10
10
01
00
11
10
01
01
11
01
10
10
00
10
10
10
00
01
10
10
10
11
00
01
10
11
00
00
10
10
00
00
00
10
01
00
10
11
10
10
01
00
00
10
11
10
10
01
10
00
10
10
01
01
01
00
11
10
10
10
10
10
00
11
00
10
10
10
00
00
10
00
10
10
11
01
00
11
00
10
00
10
00
00
10
00
10
11
00
01
11
11
00
11
00
00
10
10
00
00
01
10
00
00
10
01
00
00
11
10
01
01
11
11
00
00
11
00
01
00
11
10
10
10
00
00
10
10
00
00
10
00
00
00
01
11
11
00
10
11
10
11
00
00
00
01
00
11
11
10
00
00
00
00
01
00
10
10
01
10
01
10
10
00
10
11
10
10
00
10
01
10
11
00
00
10
00
10
11
00
01
01
11
10
00
00
00
10
11
11
10
00
00
10
01
00
00
00
10
11
01
00
01
00
11
10
11
00
11
10
01
10
11
00
00
11
01
00
10
10
10
00
10
11
00
00
11
10
00
11
01
00
00
00
00
10
11
00
10
10
00
10
00
00
01
10
11
00
11
01
01
10
10
10
00
00
11
00
00
01
11
10
10
10
10
10
10
10
01
00
11
00
01
10
10
10
10
10
00
10
00
00
10
00
00
01
10
00
00
01
10
10
01
11
00
10
11
00
00
00
01
11
11
00
01
10
10
11
10
00
10
00
00
00
00
10
10
11
10
00
10
10
11
00
11
01
00
00
11
10
00
01
10
00
00
00
10
01
00
10
01
10
01
00
11
10
00
01
00
10
00
00
11
00
01
10
01
10
00
10
10
00
00
10
11
11
11
01
11
00
00
00
00
10
10
10
10
00
00
00
00
00
00
10
11
00
00
00
10
11
00
10
10
00
00
10
11
00
00
11
10
10
00
11
10
00
11
11
00
11
11
10
01
00
00
10
11
00
00
00
11
00
00
10
10
10
01
01
11
00
00
10
00
11
11
10
00
11
00
00
00
01
10
11
00
10
11
00
10
10
01
11
11
00
10
10
10
00
10
00
00
10
10
10
10
00
00
00
00
00
11
01
01
00
10
00
01
11
11
00
00
10
10
11
10
01
00
11
10
11
00
11
01
00
11
01
10
10
10
01
01
10
11
10
10
10
00
10
01
10
10
10
01
10
10
10
00
00
11
00
10
11
11
10
11
00
10
10
11
00
11
11
00
10
11
00
10
11
00
00
01
10
10
10
10
11
00
00
10
10
01
00
00
10
10
01
10
00
00
01
00
10
10
01
10
01
11
01
11
01
00
01
10
10
10
01
00
11
10
00
00
10
10
11
10
10
01
01
00
01
11
10
10
00
00
10
01
00
00
11
01
10
00
11
11
00
00
11
10
01
01
00
11
00
10
10
11
00
00
11
10
10
01
00
00
10
11
11
10
00
11
10
00
10
10
10
10
00
00
00
10
00
00
11
01
11
10
10
01
10
00
10
00
00
11
01
10
10
10
00
10
00
00
01
10
10
01
01
11
00
01
10
10
00
11
10
01
10
10
00
00
00
10
01
00
10
10
10
11
10
00
10
00
10
10
11
00
01
00
10
00
10
00
11
11
00
01
10
00
00
10
10
00
00
10
00
10
00
00
11
11
01
10
10
11
10
11
00
01
10
11
11
10
00
00
01
01
01
00
00
00
01
01
10
11
01
01
10
01
11
10
00
00
00
10
00
11
11
00
00
10
10
10
10
00
10
01
11
11
10
11
00
00
01
00
11
00
00
10
10
10
10
10
00
10
10
01
00
11
01
00
11
10
00
00
01
01
00
01
10
10
00
00
10
10
10
00
00
11
10
10
10
10
00
11
00
00
10
10
00
10
10
00
01
10
00
10
00
01
11
01
00
10
00
00
00
00
01
01
00
00
00
10
10
10
11
00
00
01
11
11
00
10
01
01
00
10
00
00
10
10
11
10
00
10
10
11
11
10
01
10
11
00
10
10
10
01
01
01
00
01
10
00
10
10
10
01
01
11
10
10
00
10
10
00
01
10
10
10
00
11
01
00
11
10
10
10
10
01
00
10
10
10
00
10
00
00
00
00
11
00
11
01
01
10
11
10
00
11
11
10
01
00
10
00
11
01
00
11
11
00
10
10
11
00
01
10
10
10
01
00
10
10
00
10
11
10
01
00
10
10
11
11
11
00
00
10
10
01
10
00
01
10
10
10
01
00
01
10
00
00
11
00
10
10
01
10
10
00
01
00
01
10
10
00
10
10
01
10
10
00
10
01
10
10
10
00
11
00
10
10
00
00
01
10
11
00
00
11
00
00
11
00
00
01
10
00
10
00
10
01
01
01
00
11
11
00
01
10
10
10
10
10
00
01
00
01
11
00
01
10
01
11
10
10
10
11
00
11
11
01
00
00
00
00
01
01
01
10
10
01
00
01
10
01
00
11
10
11
00
00
00
00
00
11
00
11
00
00
01
10
00
11
10
00
00
11
10
01
11
10
10
00
00
00
10
10
00
10
01
00
01
01
10
11
11
10
01
10
10
10
10
11
11
00
00
11
11
10
11
00
01
00
10
10
10
00
01
10
10
11
10
01
10
00
10
10
00
00
01
11
01
01
00
00
10
01
10
10
00
00
00
10
11
10
00
11
01
10
00
00
10
10
00
10
10
00
00
10
00
01
00
10
10
11
00
10
10
00
00
11
00
11
00
00
00
01
00
10
00
01
10
10
00
10
00
00
11
10
11
00
10
00
01
00
10
00
00
00
01
10
10
10
10
11
00
10
00
10
11
01
00
11
01
10
10
01
10
10
00
00
10
00
10
01
01
10
10
10
10
10
11
11
00
00
11
11
01
01
11
11
00
00
00
00
10
01
10
10
10
00
10
00
01
10
00
11
10
10
11
00
00
10
00
00
10
10
11
11
11
01
00
11
00
10
00
00
11
10
10
01
00
11
01
01
10
10
00
10
10
00
00
11
00
00
11
11
10
01
10
10
01
00
00
01
11
10
10
10
00
00
01
00
11
00
01
11
11
01
01
10
10
00
00
01
11
10
00
01
00
00
00
00
00
11
10
01
11
00
01
10
11
11
10
01
11
00
11
11
00
00
11
00
10
11
01
00
01
10
10
00
00
10
01
10
00
01
10
11
10
00
11
10
01
11
10
00
00
10
00
00
10
11
00
11
00
00
10
11
10
00
10
11
10
10
00
11
11
00
10
00
10
00
10
11
10
01
10
01
10
00
00
00
00
10
00
10
10
00
01
10
10
01
10
10
10
00
10
00
10
00
11
11
00
10
10
11
00
10
01
10
11
00
00
00
10
01
10
10
01
01
10
10
10
11
01
10
10
10
00
10
00
01
10
00
01
01
11
10
00
10
01
10
01
00
11
10
01
10
10
10
01
01
00
11
00
00
01
11
10
11
00
00
10
00
10
10
00
01
01
00
11
00
10
10
10
11
11
01
11
01
01
10
01
00
00
11
11
10
00
10
11
10
00
00
00
00
10
10
00
10
01
10
00
10
10
00
10
01
01
01
11
11
00
11
10
00
00
10
10
00
11
00
01
00
11
01
01
11
00
00
10
00
00
00
10
11
00
00
01
00
10
10
00
10
00
00
00
10
10
01
10
10
10
01
00
00
10
10
00
11
00
01
00
11
01
01
00
10
00
00
01
11
10
01
01
11
11
01
00
10
00
00
10
00
10
10
11
11
01
10
10
00
10
10
10
00
10
10
11
01
00
11
10
00
00
10
00
11
10
01
00
00
00
11
10
11
10
00
00
01
11
10
00
00
01
10
00
00
10
00
00
10
11
00
00
00
11
10
10
11
00
01
00
01
00
00
10
00
10
11
00
00
00
10
01
10
10
01
10
10
10
00
00
10
01
10
00
10
00
10
01
11
10
10
01
00
01
10
01
10
01
01
10
10
00
11
11
10
01
00
10
11
00
00
00
01
11
00
11
00
01
11
00
00
10
00
00
00
11
11
10
11
11
11
00
00
10
10
01
01
10
10
10
11
01
10
10
00
10
00
00
11
10
00
00
00
00
00
01
00
00
10
00
00
10
00
00
10
11
00
10
00
10
10
01
10
11
00
00
10
01
10
11
00
01
01
11
01
10
10
00
00
10
00
00
10
00
10
00
01
10
00
10
00
00
01
11
11
10
01
10
00
00
00
10
10
11
00
01
01
00
10
10
00
00
01
10
11
10
00
11
10
00
01
00
10
01
01
01
01
00
00
10
10
00
10
10
11
00
01
00
10
01
00
01
10
10
01
10
11
00
10
01
10
01
00
01
10
00
00
10
10
01
10
00
00
00
00
10
00
10
11
11
00
01
10
11
00
10
10
10
11
10
11
01
10
11
01
01
10
11
10
01
00
01
00
10
10
11
00
11
10
00
01
10
00
11
00
00
00
10
10
00
10
01
00
10
00
10
10
00
10
10
00
00
10
10
10
00
10
00
01
10
00
00
10
11
11
00
00
01
00
10
10
01
01
11
00
11
10
00
01
01
10
10
11
10
00
00
10
11
10
11
00
10
10
11
10
00
10
10
00
00
00
01
01
10
01
10
01
01
00
10
01
01
11
10
01
00
01
00
10
10
01
00
10
11
01
00
01
00
11
10
10
11
00
11
00
10
10
00
01
11
00
01
00
10
10
10
01
00
00
11
11
10
00
00
10
01
11
10
00
00
10
00
00
11
10
10
11
10
11
00
10
10
10
01
00
11
10
00
00
00
00
00
11
11
10
10
00
00
10
11
01
10
11
01
11
00
00
10
10
00
11
10
11
00
00
00
00
00
11
10
01
01
01
11
10
10
00
10
11
01
01
10
11
11
10
01
01
00
10
00
10
00
00
10
00
00
11
10
10
10
10
00
00
00
10
10
10
01
00
11
00
10
11
00
00
00
00
11
00
10
00
01
00
00
00
10
00
10
01
11
10
00
00
10
10
00
10
01
01
10
01
00
10
10
10
01
10
01
01
10
11
00
10
10
01
00
00
00
10
10
10
11
00
10
01
11
01
10
00
00
11
10
11
10
00
10
10
11
00
00
10
10
10
00
10
10
01
00
00
00
00
11
01
11
01
10
11
00
00
11
01
00
10
00
00
00
10
10
00
00
10
00
10
10
00
00
10
00
01
10
10
11
11
10
11
10
10
00
00
10
00
10
11
00
01
10
01
00
10
11
00
10
11
00
00
01
10
00
10
00
11
00
10
11
01
11
00
00
10
01
00
00
10
11
00
00
10
10
10
00
10
11
01
00
01
01
10
00
10
11
10
11
00
11
00
00
00
00
00
11
10
01
00
10
11
11
01
01
00
10
10
10
10
10
01
10
11
00
00
00
10
11
01
01
10
10
00
00
10
11
00
01
00
11
00
11
01
11
11
00
01
10
10
00
00
10
11
01
00
01
01
00
10
01
11
01
10
10
00
10
00
00
10
10
11
10
10
01
00
00
00
00
10
11
01
01
10
00
10
01
11
10
01
00
01
00
10
10
11
00
00
00
10
00
01
00
11
11
01
01
10
10
00
00
00
11
10
10
01
01
00
00
00
01
00
11
10
00
01
10
10
10
11
01
00
10
00
11
00
00
00
10
11
01
01
00
10
01
11
10
10
11
01
10
10
00
11
11
10
01
11
00
10
11
01
00
11
10
00
10
11
01
11
00
10
01
10
10
00
11
10
10
01
00
00
11
10
01
10
00
00
11
10
00
10
11
01
10
10
01
10
10
00
00
00
00
10
00
10
10
10
10
00
00
00
10
00
00
11
10
00
10
11
10
10
00
01
10
11
01
00
01
01
10
10
11
10
11
00
01
00
00
10
10
01
00
10
10
11
11
00
01
10
10
10
01
11
00
11
10
11
00
01
00
00
00
10
10
00
10
10
00
10
10
00
00
11
10
11
01
10
10
00
11
10
00
10
00
01
11
11
00
00
11
00
10
11
00
00
00
00
11
10
10
00
10
01
01
00
10
00
00
00
00
00
01
00
00
00
01
01
10
00
10
01
00
00
10
01
01
01
00
11
10
00
00
11
10
11
00
00
00
10
00
00
10
10
10
10
01
11
10
10
00
00
10
10
00
11
10
00
00
01
10
10
10
10
00
00
00
10
00
01
01
11
00
10
11
00
11
00
10
11
10
10
00
10
11
01
01
00
11
00
11
00
01
10
10
00
00
00
11
10
10
00
00
10
11
10
11
11
00
00
00
11
00
01
11
10
11
11
00
00
10
11
00
10
11
10
01
11
00
00
01
10
00
11
00
00
10
11
11
10
01
00
00
00
00
11
10
11
00
00
10
01
01
00
01
10
00
00
00
11
00
10
11
11
00
10
11
10
00
01
10
01
00
11
10
00
10
00
00
11
10
10
10
00
11
10
00
00
01
00
10
00
01
10
11
10
01
00
10
11
10
00
00
10
10
01
10
00
01
00
11
11
00
00
11
11
01
00
10
10
10
11
11
01
00
10
10
01
10
00
00
10
10
01
10
00
10
11
00
10
10
01
01
10
11
01
10
00
10
10
00
10
10
11
00
01
01
01
10
10
01
01
00
11
10
11
00
00
01
11
10
11
11
00
11
10
01
00
00
11
00
11
11
11
00
00
00
00
01
10
10
00
01
00
00
10
10
10
11
10
00
01
11
10
00
00
10
10
00
11
10
11
01
00
00
00
10
11
10
00
01
10
11
10
01
11
00
11
10
11
00
11
10
01
00
10
00
00
00
10
00
10
10
01
00
11
10
00
10
10
10
00
01
11
10
10
00
00
00
10
00
01
10
00
00
00
00
01
10
10
00
00
10
00
10
00
10
00
00
00
00
11
11
00
01
11
10
10
00
10
00
01
10
10
01
00
11
10
00
01
00
11
00
10
11
10
10
11
10
01
01
00
11
10
10
10
10
00
00
11
10
11
10
00
00
10
10
01
11
10
00
10
00
11
11
01
00
00
10
00
01
10
00
00
10
11
00
00
01
01
11
00
01
10
00
00
00
01
00
11
11
01
00
00
00
10
10
01
11
10
00
10
00
00
00
11
00
00
10
01
00
01
10
10
10
10
00
11
01
00
01
01
00
10
00
00
10
10
00
10
00
00
00
10
10
10
01
10
10
00
10
10
00
00
11
00
10
10
10
10
00
00
11
01
00
10
00
10
10
00
00
10
10
00
10
00
00
01
00
01
10
01
01
01
00
00
00
10
11
00
00
11
10
00
00
01
10
10
10
00
01
01
01
01
10
11
00
00
10
00
01
00
10
10
01
00
11
00
00
00
00
00
10
10
11
01
00
11
00
10
11
10
00
10
00
01
00
11
00
01
00
00
10
11
11
10
01
00
00
00
00
10
01
11
11
11
00
00
11
00
10
10
00
00
11
11
00
00
10
11
10
00
10
10
00
11
00
11
10
01
00
10
10
00
11
01
11
01
01
01
01
10
01
00
01
10
11
10
00
10
00
00
10
00
10
00
10
00
00
10
10
11
00
11
11
01
00
01
10
10
10
00
11
11
00
00
00
11
10
01
00
10
11
00
01
00
01
11
11
00
10
00
01
10
10
01
00
01
00
11
11
10
10
01
11
01
00
10
10
10
01
10
00
11
10
00
10
10
00
00
11
00
10
11
00
11
01
00
11
00
00
11
11
01
10
00
01
00
00
00
00
11
11
00
01
00
00
01
10
10
10
10
00
10
10
01
11
11
11
00
00
00
11
00
00
10
11
00
10
10
00
11
11
00
10
00
00
11
10
01
00
11
10
01
00
10
00
11
00
00
01
00
10
00
01
00
01
01
11
00
11
00
00
00
10
10
10
01
01
01
11
01
10
01
10
10
00
10
01
00
10
11
11
10
01
00
10
10
00
00
00
10
10
10
00
10
00
11
00
00
11
10
10
10
00
10
10
10
01
01
10
10
10
10
11
10
10
01
01
11
01
10
00
10
10
00
10
00
00
00
10
11
01
00
01
00
10
11
10
01
01
10
11
11
00
00
11
11
00
10
00
11
10
00
00
11
10
10
00
00
10
00
10
10
10
01
01
01
10
10
10
10
10
10
01
00
10
10
00
01
00
10
10
10
00
00
11
10
00
01
00
10
10
11
00
00
01
10
00
01
01
10
00
10
10
01
10
00
00
11
10
11
10
01
10
01
10
00
00
10
00
00
00
10
10
10
00
10
10
10
11
11
00
10
10
11
00
01
11
11
00
00
01
00
11
10
01
00
10
00
10
00
00
01
10
10
01
10
11
10
00
11
01
00
10
00
00
10
11
01
00
11
00
10
11
01
11
10
00
11
10
00
11
00
01
01
10
11
10
01
11
11
01
01
01
11
10
01
00
10
10
00
10
10
00
00
10
10
10
00
11
01
00
10
01
10
10
11
11
00
00
10
10
00
10
10
10
00
00
01
11
10
00
01
10
10
01
00
00
00
01
00
01
10
10
10
00
00
10
00
01
00
10
11
11
10
10
01
11
00
11
00
01
10
01
10
00
01
00
00
11
01
10
00
00
10
00
01
11
11
00
01
11
10
00
00
10
11
11
10
01
10
01
10
01
00
00
10
01
00
10
01
10
11
00
10
00
00
11
10
11
00
10
10
10
01
10
10
10
11
11
00
00
00
11
10
00
00
11
10
10
10
00
01
10
00
10
10
00
11
00
11
00
10
10
10
00
01
00
01
10
01
00
10
10
11
01
10
00
00
00
10
11
00
11
11
10
10
01
10
00
01
11
10
00
00
10
00
11
10
01
00
11
11
11
10
01
01
11
11
00
01
11
10
00
01
00
11
00
00
10
00
00
00
00
10
01
01
10
00
01
00
00
00
01
01
00
01
10
10
11
01
01
01
10
00
11
10
00
10
10
01
00
10
00
01
10
00
11
00
00
01
11
11
11
11
01
10
10
01
10
11
10
00
00
10
10
00
11
10
00
01
01
10
10
10
11
00
00
11
01
00
10
10
10
00
10
00
00
11
11
00
00
01
00
10
00
10
00
00
00
10
01
01
10
00
11
00
10
10
01
11
10
00
10
11
00
01
00
01
10
10
01
10
00
00
10
10
00
00
11
00
01
00
01
11
10
10
00
00
10
01
11
00
00
11
00
01
00
00
00
00
01
01
01
10
01
10
10
10
00
01
10
01
10
10
10
11
00
11
01
00
11
10
01
00
01
00
01
11
11
10
10
10
00
00
10
10
00
00
01
10
01
11
00
10
01
10
10
10
00
00
10
10
01
11
10
00
10
11
10
01
00
10
10
10
01
00
10
10
10
10
10
11
10
10
00
00
00
00
00
10
11
01
01
10
10
00
00
00
10
10
11
00
10
10
00
00
00
00
10
00
00
10
00
00
11
10
00
10
11
00
00
10
11
10
10
00
01
00
00
00
10
10
00
00
00
10
10
00
01
01
01
10
01
00
11
01
11
10
00
11
01
10
10
00
00
10
00
00
11
10
00
00
10
00
10
00
10
01
01
10
10
01
00
00
00
11
00
11
10
00
10
00
10
10
01
10
01
10
10
11
01
10
01
00
10
01
11
00
00
01
10
11
00
01
10
10
00
00
10
11
00
01
10
00
00
01
10
10
00
00
11
11
10
10
00
11
00
10
10
00
11
10
10
00
00
11
00
00
11
11
00
01
00
10
10
00
00
00
10
10
11
10
00
00
10
10
00
01
10
00
00
11
10
01
01
10
00
11
10
01
00
10
01
00
11
00
10
10
01
10
11
10
10
10
10
01
00
01
01
11
10
01
00
00
00
11
11
10
00
11
11
00
00
00
00
10
00
01
11
10
01
00
11
10
00
10
10
00
01
00
10
00
00
01
00
11
00
10
00
11
10
11
10
11
00
10
00
00
10
00
01
10
10
00
10
10
01
10
11
00
00
11
11
00
01
00
10
10
10
11
00
00
00
01
10
01
10
11
00
11
01
10
01
00
11
10
10
00
10
00
00
00
10
10
10
00
00
11
01
00
11
00
10
10
00
00
00
00
10
00
10
00
10
00
00
00
10
11
01
10
10
00
00
00
10
10
00
01
10
11
00
11
01
01
00
10
00
00
11
00
10
10
11
10
00
11
10
10
10
10
00
00
11
10
01
00
11
00
11
00
10
10
00
10
01
10
10
10
00
00
00
10
11
00
11
00
10
10
00
10
10
10
00
00
00
00
00
00
10
10
10
00
10
00
00
00
01
01
00
01
00
01
01
10
11
10
01
01
11
00
01
10
10
10
00
01
10
00
01
00
10
11
10
01
01
00
00
11
00
01
00
00
11
10
01
01
01
10
00
00
10
10
10
10
01
00
01
00
00
10
01
00
10
10
00
00
10
01
01
00
01
11
11
10
10
00
00
11
00
10
11
10
00
00
00
01
10
10
00
10
10
00
01
10
10
11
10
11
10
11
01
01
11
11
01
01
11
11
00
01
10
11
10
00
01
10
11
00
01
11
10
00
00
00
00
00
11
10
00
10
10
01
11
10
00
10
10
10
10
01
10
11
01
10
00
01
11
10
10
01
01
00
00
01
10
11
00
00
10
11
00
11
01
00
10
11
10
00
00
01
10
11
01
10
00
00
01
10
10
10
10
01
00
01
00
10
10
11
10
01
00
11
01
00
00
11
10
00
10
10
10
01
10
11
00
00
11
10
00
00
10
10
10
10
11
01
00
00
00
10
00
01
10
00
01
00
01
10
10
10
10
01
10
10
01
10
01
10
00
00
00
10
00
01
11
11
00
01
01
10
01
10
11
00
00
10
10
10
00
00
01
10
10
10
00
10
01
00
01
11
00
00
10
00
00
01
10
00
10
10
10
00
01
10
11
00
10
11
00
01
00
00
10
10
10
00
10
10
00
10
10
00
00
10
11
01
10
01
11
01
11
00
00
10
00
10
00
01
11
01
01
10
10
10
00
01
10
10
10
11
00
00
01
11
10
10
01
10
00
10
10
00
11
10
11
01
01
10
00
11
01
01
11
01
01
11
00
01
01
10
10
00
11
10
10
00
00
00
11
10
00
10
10
00
10
11
11
00
01
11
10
11
10
00
00
10
10
00
10
10
00
01
00
00
11
01
10
10
01
10
00
10
11
11
11
11
00
11
00
10
00
01
10
10
10
00
11
11
00
00
00
10
10
00
10
10
10
00
00
00
10
00
10
10
01
11
10
10
10
00
10
00
10
00
10
11
01
00
10
10
00
11
01
00
00
11
11
11
11
01
10
01
10
00
01
10
10
01
10
10
00
10
10
00
00
10
01
10
10
00
01
11
01
01
10
10
00
00
11
00
01
11
10
11
10
00
00
10
10
01
11
01
10
10
01
01
00
00
10
10
00
00
00
10
10
10
11
10
01
01
10
11
00
00
10
01
01
01
10
11
10
10
10
10
01
01
11
00
01
00
10
00
00
01
10
11
00
00
11
11
00
00
00
11
00
01
10
10
10
00
00
10
00
01
10
01
10
10
00
00
10
11
00
01
10
10
11
00
10
00
11
10
01
00
01
01
10
00
00
01
10
01
01
11
10
01
10
10
10
00
10
10
00
10
01
00
00
11
01
10
11
00
01
10
00
00
10
01
00
00
11
01
10
01
00
10
01
01
11
10
10
01
11
00
00
00
11
10
01
00
11
10
00
11
00
01
10
00
00
10
01
00
10
00
11
11
00
00
10
00
11
10
00
00
10
11
10
01
00
01
11
10
10
00
00
10
11
00
00
10
11
11
10
10
00
10
10
11
11
11
10
11
01
00
10
00
00
11
00
00
11
01
10
00
11
11
11
10
10
00
00
10
10
11
01
00
11
10
01
10
11
00
00
00
11
00
01
11
10
10
01
11
00
10
11
00
01
11
00
00
10
11
00
00
00
11
11
01
11
10
00
00
10
10
10
11
01
00
00
00
11
00
10
00
00
00
01
10
11
00
11
11
01
11
10
11
00
11
11
00
01
00
11
10
11
00
11
11
00
01
10
11
01
01
10
10
01
00
01
01
00
11
10
10
10
00
00
10
10
00
00
10
00
00
11
00
00
10
10
00
10
10
01
10
10
11
10
10
00
10
10
10
10
00
01
10
00
00
00
00
10
00
10
11
00
11
00
11
10
00
00
01
01
00
11
11
10
10
00
10
10
10
00
00
00
01
01
10
10
10
10
10
01
10
01
00
11
00
00
00
11
11
00
10
10
10
00
10
10
10
00
10
01
00
00
00
00
01
00
10
10
01
10
01
10
00
00
11
00
10
11
10
10
01
00
10
01
10
00
11
01
10
10
00
11
00
01
00
10
10
11
10
00
11
00
00
11
11
00
10
10
00
10
10
00
00
00
00
10
10
00
11
00
11
00
01
00
10
00
00
10
00
00
00
10
00
11
00
00
10
10
10
11
10
01
00
01
10
11
00
11
10
00
10
00
01
00
11
10
10
01
00
10
10
01
00
10
01
00
00
01
10
10
10
01
00
00
00
10
11
11
00
00
00
01
10
00
00
01
00
00
01
00
10
10
00
11
01
01
00
01
01
10
00
11
10
00
01
01
00
00
10
10
11
00
01
11
10
01
01
00
01
00
10
10
00
01
10
01
01
00
00
10
11
11
11
01
10
00
01
11
10
00
10
10
00
10
11
00
00
11
10
00
11
10
10
00
00
10
10
00
10
10
00
00
10
10
11
00
10
00
00
01
00
00
11
00
11
11
11
00
00
01
10
11
00
00
10
10
00
10
00
01
10
11
01
00
01
10
10
10
10
00
00
01
10
00
10
11
10
01
00
11
00
00
11
00
10
10
11
00
10
10
01
00
00
10
00
10
01
10
11
10
00
00
10
00
00
00
00
10
11
00
10
01
10
11
00
10
10
01
11
01
01
10
00
11
11
11
00
01
11
10
00
10
10
00
00
11
10
00
10
00
10
00
00
01
10
00
00
10
10
00
00
11
10
00
00
11
11
10
10
10
01
01
10
10
00
10
10
01
00
01
10
00
01
10
01
00
00
10
11
10
00
01
10
00
00
10
00
01
11
01
00
10
01
00
00
01
11
11
11
10
01
00
10
11
10
01
10
10
01
10
00
01
10
10
01
10
01
10
10
00
10
11
11
10
11
10
00
11
11
00
00
11
00
01
10
11
10
10
01
01
01
11
11
00
01
01
10
10
00
00
10
00
10
10
00
00
10
00
10
01
10
01
10
01
10
00
11
10
10
10
10
10
11
00
11
10
01
00
11
10
00
00
10
00
01
00
10
11
00
00
10
10
00
01
00
10
10
01
01
00
11
10
00
01
00
01
11
11
00
11
01
01
10
10
01
00
10
11
01
10
10
01
10
10
00
00
00
10
11
10
11
01
11
00
00
10
10
00
10
10
00
00
00
00
00
10
01
10
00
10
10
00
01
00
11
00
01
00
00
10
11
01
01
00
11
11
00
00
01
10
10
10
01
10
10
10
11
00
10
00
00
11
01
11
10
10
10
00
00
01
11
10
00
01
11
10
10
11
01
00
10
10
00
10
01
00
11
01
10
11
00
11
10
00
01
01
10
10
10
01
00
00
10
11
00
00
10
00
01
10
10
00
10
10
10
00
10
10
11
00
10
10
10
00
00
00
10
00
00
01
10
10
00
10
11
10
00
00
10
11
11
11
01
10
01
00
00
10
10
01
11
10
01
10
10
10
10
10
00
00
10
01
00
11
10
01
00
01
00
01
00
10
10
01
00
00
01
10
11
00
00
00
10
11
10
10
00
00
10
00
00
01
00
11
10
00
01
10
11
00
10
11
00
00
10
10
01
01
01
11
00
11
10
00
11
00
10
10
00
00
01
11
11
00
11
10
00
11
00
00
10
10
00
01
10
00
00
11
00
01
00
00
00
11
11
11
10
01
10
00
10
00
11
01
01
10
10
00
10
10
01
00
10
00
10
10
10
01
01
10
00
00
11
11
11
11
00
00
10
10
01
10
11
00
10
00
01
10
00
10
10
11
00
00
11
10
00
10
10
10
01
00
11
11
01
01
11
11
01
01
10
11
00
00
10
10
00
01
11
10
00
01
10
01
01
11
10
00
00
01
10
01
10
00
10
10
00
01
10
10
01
01
11
00
10
01
00
11
00
01
10
10
00
10
11
10
10
00
00
00
10
10
01
00
10
00
00
00
11
10
10
00
00
00
10
00
01
01
10
10
01
10
00
10
10
01
10
01
00
10
10
10
10
00
01
00
10
10
01
11
00
11
10
10
00
10
00
10
11
00
00
10
01
11
11
10
10
01
00
10
00
01
01
10
10
01
00
10
11
01
00
11
11
00
11
10
10
11
10
10
01
11
00
11
11
01
10
10
01
01
00
10
10
10
00
00
00
10
10
11
00
01
11
11
00
00
00
10
10
01
01
10
00
00
00
00
10
10
01
10
11
00
00
00
00
10
10
10
00
00
11
00
11
01
00
01
00
10
00
00
10
10
10
00
00
01
00
11
10
10
11
01
11
01
11
10
10
01
01
00
10
10
10
01
10
10
00
10
10
10
00
00
11
11
00
01
01
10
01
01
00
11
00
10
11
10
00
00
11
11
01
00
10
00
01
01
00
11
11
01
00
00
01
10
11
00
00
11
10
00
01
00
10
00
11
10
10
00
00
10
00
11
10
00
10
11
00
10
00
00
10
11
00
01
00
11
10
10
00
00
11
10
00
10
00
11
11
00
00
00
10
00
11
10
00
00
00
10
10
10
01
00
10
10
00
00
00
10
00
01
11
11
10
01
00
11
00
01
01
10
11
00
01
11
00
01
10
10
10
00
00
11
11
01
00
00
01
00
11
10
00
00
10
01
01
01
01
10
11
10
10
00
01
11
10
00
00
00
10
01
01
11
00
01
10
00
00
10
10
00
10
11
10
11
11
01
01
10
10
00
11
10
11
00
00
10
01
11
11
10
00
00
11
00
00
10
10
01
00
10
10
10
00
01
00
10
10
11
10
00
00
11
10
11
00
01
01
10
00
00
00
01
00
10
11
00
00
10
11
00
01
10
00
10
01
00
10
10
10
01
10
00
01
01
10
00
10
10
00
00
10
10
10
00
10
11
00
01
00
11
00
00
00
11
00
00
10
11
10
00
01
00
10
00
00
00
10
10
11
11
10
11
00
10
00
01
10
00
00
10
00
00
01
10
01
00
00
00
00
01
10
10
00
00
10
10
11
11
11
11
01
00
01
01
10
00
01
11
10
10
01
01
01
00
00
10
11
10
10
00
01
10
10
10
10
11
00
11
01
01
10
10
00
10
10
00
00
10
01
00
00
00
10
00
00
10
10
10
10
00
10
00
10
10
00
11
01
11
01
00
10
11
00
10
11
00
00
11
01
11
01
00
10
10
01
00
00
10
00
01
00
10
10
10
00
01
00
11
11
10
00
00
00
11
00
00
10
10
00
00
11
00
00
11
11
00
00
10
11
00
01
11
11
11
00
00
10
00
01
11
10
00
10
10
01
01
10
00
10
01
01
00
00
00
00
00
11
10
00
10
10
01
00
10
00
00
10
00
00
10
10
00
11
01
00
00
00
10
00
00
10
00
00
00
10
10
01
11
11
10
10
01
00
11
10
00
10
11
10
01
01
10
00
01
10
10
00
11
10
10
00
00
00
10
10
01
10
01
01
10
11
01
00
10
11
01
00
11
11
00
00
10
00
11
01
00
11
00
00
10
00
11
10
00
00
11
11
00
10
11
00
00
10
00
01
10
10
00
01
11
11
10
00
00
00
00
10
10
01
00
11
00
10
10
01
00
10
11
00
11
11
10
00
11
10
01
11
10
10
10
10
10
10
00
00
00
10
10
00
00
11
10
00
00
01
10
00
10
11
11
00
01
00
00
10
01
00
01
11
11
01
00
11
11
01
00
10
10
00
11
00
00
10
01
10
01
11
11
11
11
10
10
00
01
10
00
00
10
01
10
10
00
10
00
00
11
10
10
10
10
00
00
01
00
00
11
01
01
10
10
10
10
10
01
01
11
11
00
01
10
01
00
00
10
10
01
00
00
10
10
10
00
11
01
10
00
10
10
01
00
10
10
00
00
00
01
10
10
11
01
01
00
10
10
10
00
10
00
11
01
10
10
00
10
11
11
00
00
10
00
10
11
11
00
10
00
10
00
00
10
00
10
01
11
01
01
10
10
01
11
10
10
01
01
10
10
01
11
01
01
00
10
01
10
01
11
00
00
10
11
10
00
11
10
00
10
00
00
00
11
10
00
01
00
01
10
00
00
00
10
11
00
00
10
01
10
10
10
10
00
11
10
10
11
11
00
01
10
01
01
10
11
10
00
01
10
10
00
01
10
10
10
10
10
11
00
01
10
00
11
00
00
10
10
11
00
10
10
10
00
00
01
10
01
01
11
10
11
00
10
00
01
11
11
11
01
00
01
00
01
00
01
10
01
00
11
00
01
00
10
10
01
11
10
00
00
10
10
11
00
00
10
01
00
00
00
00
10
00
01
10
00
10
01
10
00
10
01
01
00
01
10
00
00
11
10
11
00
00
00
00
11
11
01
00
00
11
10
11
11
00
00
10
00
00
11
11
00
00
11
00
00
11
00
11
00
00
11
10
11
00
00
10
11
10
00
01
10
01
00
01
00
01
10
01
11
11
10
10
10
00
11
01
00
01
10
10
10
00
01
11
11
00
00
00
11
01
01
10
10
10
10
00
01
11
11
00
10
10
10
00
00
10
11
00
11
10
00
00
00
00
10
10
00
10
00
00
00
01
00
01
11
10
01
10
11
00
01
10
00
11
10
10
00
10
00
00
11
10
10
10
01
10
00
10
10
10
00
00
00
00
00
11
10
11
10
00
00
10
10
11
01
00
11
10
01
00
11
11
10
01
00
10
10
10
00
10
00
10
10
00
00
00
00
11
11
00
10
10
00
00
10
01
01
00
11
10
10
10
10
01
01
10
11
00
00
10
00
10
00
00
10
00
11
10
01
11
11
10
01
01
00
00
10
10
00
00
00
01
10
10
11
10
01
10
11
00
11
10
00
01
11
00
11
00
00
10
01
01
11
01
10
10
00
10
00
00
00
10
00
01
10
10
11
10
00
10
11
00
11
01
00
10
01
11
00
10
10
00
00
11
00
00
01
01
00
11
11
10
11
01
01
10
00
01
10
00
10
10
10
00
00
10
00
00
00
00
00
10
00
10
10
00
00
11
00
01
00
10
10
00
01
10
00
00
10
10
00
10
10
10
00
10
10
11
10
10
00
00
00
01
11
10
00
01
10
00
10
10
00
10
01
00
10
00
00
11
01
11
10
01
11
10
00
10
10
01
00
11
01
00
10
10
10
00
00
10
10
00
01
10
00
11
10
01
10
01
11
10
00
11
00
00
01
11
10
01
00
10
00
10
01
10
11
01
00
00
00
10
10
10
00
10
10
01
00
11
00
10
00
01
11
00
11
10
00
00
00
11
01
00
11
01
00
10
10
01
10
01
01
00
10
10
10
01
11
10
11
10
01
00
10
11
10
00
00
00
11
10
00
00
10
00
10
00
01
10
00
10
11
01
11
00
01
00
11
11
00
00
10
00
01
10
10
10
00
00
00
01
10
11
00
00
11
10
10
00
01
10
00
11
10
11
10
00
01
00
11
10
10
01
10
10
01
00
01
10
00
00
10
00
01
11
10
11
00
00
00
01
10
01
00
10
00
10
00
10
11
10
10
00
01
10
10
10
10
00
10
10
00
00
10
00
10
00
01
01
00
00
10
00
10
11
10
11
01
10
11
10
01
00
00
10
11
01
00
00
10
10
10
10
00
11
10
01
01
10
10
10
10
00
01
00
01
11
10
10
10
00
00
00
00
10
00
10
10
01
00
01
01
00
11
01
01
10
10
00
00
01
10
10
00
01
11
00
10
00
00
00
10
10
10
10
00
10
00
00
00
00
00
00
10
10
00
10
01
10
01
01
10
00
00
00
10
10
00
10
10
00
00
00
11
10
00
11
00
01
10
10
11
00
01
00
11
10
11
00
00
00
00
10
10
10
10
00
10
11
01
11
00
00
01
00
10
00
01
10
10
10
00
01
00
00
00
00
10
10
01
00
11
01
01
00
01
00
10
11
00
10
10
11
10
10
01
00
01
00
10
10
00
00
01
10
10
01
00
00
01
10
00
00
00
10
11
10
10
00
01
00
00
10
00
00
00
10
11
01
01
11
01
01
11
00
00
10
10
01
00
10
10
01
01
00
01
00
01
10
00
00
10
10
00
00
11
00
00
10
01
00
10
00
11
01
00
10
10
00
01
10
11
00
11
00
00
10
00
00
00
10
00
11
00
10
00
10
10
00
10
10
00
01
00
11
11
00
10
10
00
01
11
11
00
11
10
11
11
00
01
10
11
00
10
11
00
01
10
10
00
00
11
10
11
00
10
10
11
10
00
11
11
11
00
10
11
10
10
00
10
10
11
10
01
10
00
00
10
00
00
01
11
10
10
10
00
10
10
10
10
01
00
00
10
00
10
00
10
11
00
10
00
00
00
00
00
01
00
00
11
00
00
10
01
10
11
00
01
01
10
11
00
10
11
00
00
01
10
10
01
11
11
10
00
00
11
01
01
11
11
10
10
01
00
11
11
00
00
11
00
00
11
10
01
10
10
00
10
00
10
10
11
00
01
00
11
10
00
11
11
00
01
11
11
01
01
10
10
00
00
11
10
01
01
00
11
10
00
10
00
10
11
10
01
00
11
10
00
00
00
10
11
10
10
00
10
00
00
01
10
10
00
01
00
00
11
01
00
00
11
10
10
10
11
01
00
00
11
01
00
00
00
00
10
10
01
00
00
10
10
10
10
00
11
01
00
11
10
10
11
10
11
00
00
10
10
10
00
10
00
10
11
01
00
00
10
01
11
11
10
10
01
00
01
10
10
00
10
00
01
10
10
10
01
00
11
10
00
00
00
10
00
10
10
10
11
00
11
00
00
10
10
00
10
10
11
00
00
01
00
10
10
00
10
10
01
01
00
00
00
10
00
00
00
00
10
11
10
00
00
00
00
00
10
01
11
00
10
11
10
01
10
00
01
00
10
01
10
10
10
00
00
01
10
10
10
00
00
00
00
00
10
00
10
00
10
01
00
11
11
11
10
11
00
10
01
11
00
11
00
01
01
00
10
10
11
00
10
10
00
11
11
10
10
10
00
01
10
00
00
11
11
10
10
11
00
10
00
00
00
10
00
10
00
01
10
11
00
01
00
00
00
10
10
01
10
10
00
10
01
00
10
10
11
10
00
00
10
10
10
00
00
00
11
11
01
11
11
10
11
00
01
00
10
10
11
10
00
00
00
10
00
10
10
01
10
10
00
01
01
10
00
11
00
10
10
01
10
10
10
00
01
00
00
10
00
00
10
00
10
00
00
11
10
00
00
00
11
00
11
10
00
00
10
01
10
00
01
10
11
01
00
01
11
10
00
11
11
10
01
00
00
11
11
00
01
01
11
10
11
10
00
10
10
00
10
11
01
10
10
10
10
10
00
00
11
01
00
10
10
10
01
00
00
10
10
11
11
01
10
00
10
10
00
00
10
10
11
00
00
11
00
10
01
10
10
00
10
10
00
01
01
11
10
11
10
10
11
00
11
10
10
00
10
00
00
01
11
10
10
11
00
00
10
11
00
00
10
01
01
00
10
00
11
11
00
10
10
11
00
01
01
11
10
11
00
11
11
00
01
11
01
00
00
10
01
01
10
00
10
10
11
00
01
10
00
00
10
10
00
10
11
10
00
10
11
00
10
11
10
11
00
11
01
10
01
00
01
10
10
00
00
10
10
01
00
00
10
00
10
11
10
11
01
10
01
10
01
00
10
10
00
10
00
00
10
10
10
01
01
01
11
10
00
10
10
00
10
11
01
00
10
01
00
10
00
10
01
10
00
11
00
01
10
11
10
01
10
11
01
11
01
00
10
10
10
10
00
00
11
00
01
11
10
00
10
01
11
10
00
10
00
00
10
10
10
01
00
00
00
01
10
10
10
10
00
00
10
10
01
00
10
01
00
10
11
11
10
10
01
00
01
11
00
10
00
00
11
10
01
01
11
11
00
11
00
00
10
11
00
00
10
10
00
10
10
00
00
11
11
01
10
10
10
11
00
00
00
10
01
01
00
00
00
11
01
11
10
00
10
00
00
11
10
01
01
10
00
00
00
10
10
10
00
00
10
01
11
00
11
11
10
10
00
00
01
10
11
10
00
00
11
00
10
11
01
00
01
11
00
11
00
11
10
00
00
00
10
11
00
10
10
00
10
01
00
11
10
00
00
01
00
11
00
10
01
01
00
00
10
11
00
00
10
00
10
11
10
00
11
10
00
10
11
10
10
11
11
10
00
10
11
00
10
00
00
11
10
10
11
10
00
01
01
10
00
00
00
00
00
11
10
10
01
10
00
00
11
10
00
00
10
10
00
00
00
00
10
01
10
00
11
11
00
00
00
11
01
00
00
10
01
00
00
11
11
11
00
01
00
00
11
10
10
00
00
00
11
10
00
11
11
01
11
00
00
10
00
10
11
00
00
01
10
00
11
11
00
10
00
10
01
01
10
11
10
01
10
10
01
01
00
11
10
10
11
00
10
00
11
10
00
00
10
00
00
00
10
10
10
10
00
00
11
01
11
01
10
10
11
00
00
11
10
01
10
10
01
00
11
10
11
00
00
11
00
00
11
11
01
00
01
00
00
10
01
11
10
11
00
11
10
00
00
10
10
00
00
10
10
01
00
11
01
11
00
00
01
00
00
10
11
01
01
10
10
01
00
01
01
01
10
11
10
01
00
00
00
10
11
01
11
00
11
11
10
00
10
10
00
01
00
11
00
11
11
10
01
11
11
00
11
11
01
01
10
10
10
00
00
10
01
01
11
00
10
00
00
11
00
01
10
10
01
10
11
00
11
00
10
11
01
00
10
00
11
10
10
00
01
11
10
10
00
11
00
00
10
00
00
00
10
10
10
00
01
10
01
00
01
11
00
00
10
10
01
01
11
10
00
00
00
00
00
00
11
10
01
00
00
00
00
00
00
00
10
00
00
01
11
10
10
01
11
10
10
10
01
00
10
11
00
10
10
01
10
10
10
00
00
01
00
11
10
01
11
11
00
10
00
10
00
00
00
00
10
10
01
01
01
00
00
00
00
11
10
10
00
00
00
01
10
01
11
10
10
01
10
10
00
00
00
01
10
10
10
10
00
10
01
01
00
10
00
00
10
00
01
10
10
11
10
00
01
00
10
10
10
01
01
00
10
00
00
00
00
10
00
00
11
00
01
11
11
11
00
10
10
10
11
00
10
10
01
00
00
10
11
01
10
00
01
00
10
11
11
00
01
10
10
01
11
00
11
00
01
00
00
10
10
10
00
00
10
10
10
10
11
00
00
00
11
01
00
10
11
00
10
00
00
00
11
00
10
01
01
10
11
00
10
10
00
11
00
01
00
10
00
00
00
00
10
11
10
00
11
10
00
10
01
00
01
10
00
01
01
10
10
10
11
10
00
01
10
11
00
00
11
01
01
01
10
10
00
00
11
10
11
00
00
10
00
11
01
00
10
00
01
10
10
00
00
10
11
00
11
00
00
00
10
00
01
00
11
10
00
00
01
10
10
11
10
11
11
00
00
11
10
11
01
00
01
10
11
00
10
10
11
00
00
10
10
11
10
00
00
01
11
11
00
00
01
10
00
00
10
00
11
10
01
00
10
10
10
01
11
11
00
00
11
00
00
10
00
00
10
10
10
00
00
11
01
10
00
00
00
10
00
11
10
10
00
00
00
11
10
11
00
00
11
01
00
11
01
01
00
00
10
00
00
10
01
10
00
01
10
01
10
11
00
00
11
10
11
01
11
10
10
00
10
10
11
10
00
10
11
10
10
00
00
11
11
10
00
10
10
01
10
01
00
00
00
00
11
00
00
10
00
11
00
10
10
10
01
11
11
00
10
10
10
00
11
10
00
10
10
11
10
11
00
01
11
10
10
11
00
00
11
11
01
11
00
10
00
10
10
00
00
01
11
01
11
11
10
10
00
10
10
01
10
10
10
01
01
10
01
11
00
11
00
00
00
10
11
11
01
10
10
00
01
11
00
00
01
01
10
01
10
10
00
00
00
10
11
00
11
11
11
10
10
01
11
00
00
10
10
10
10
01
01
10
10
00
10
01
01
01
11
10
10
00
10
10
01
01
10
10
11
10
10
00
00
01
10
11
10
01
11
00
00
00
10
10
00
01
00
01
10
10
01
01
01
10
11
01
01
10
10
01
01
00
10
10
00
10
10
10
00
11
00
10
11
10
01
10
01
00
10
10
10
00
01
00
10
10
11
00
11
11
01
10
00
10
11
10
00
00
11
11
10
00
01
11
10
10
00
00
10
00
10
10
10
10
11
00
01
10
00
10
10
10
00
11
00
10
11
01
10
10
10
10
01
00
10
01
01
11
00
01
10
01
11
10
00
00
10
10
00
01
10
10
11
11
00
00
00
00
01
11
10
10
10
01
11
00
00
01
00
10
10
11
10
01
10
10
10
10
00
10
10
00
10
10
01
01
01
10
01
10
00
10
11
10
00
10
11
00
01
10
00
01
10
01
00
00
10
11
01
10
00
10
11
00
00
10
10
00
10
10
01
00
00
01
01
11
10
00
10
10
10
01
01
10
11
00
10
00
00
11
11
01
10
11
00
00
00
00
10
11
11
10
01
00
10
00
00
00
11
10
10
10
00
00
00
10
01
01
01
00
10
00
11
10
01
10
10
11
00
11
00
10
10
00
11
00
01
11
11
00
10
10
10
10
01
00
01
10
00
00
01
11
10
00
00
00
01
00
01
01
10
10
01
11
11
10
00
00
01
10
00
00
11
10
10
10
00
10
00
10
11
10
01
10
00
00
11
00
10
10
10
00
00
00
10
10
01
11
01
11
10
01
10
00
00
11
10
00
01
10
11
01
01
11
00
11
10
00
00
00
10
11
10
00
00
11
00
11
10
01
10
10
11
00
01
11
10
01
11
10
00
10
00
10
10
00
10
11
00
00
11
00
01
10
10
01
10
00
10
10
01
00
10
11
10
10
01
11
10
00
11
11
10
01
00
00
10
10
11
01
10
10
00
00
10
10
10
11
00
10
00
00
11
10
10
10
00
00
10
11
10
01
10
10
10
01
01
00
00
11
00
11
00
10
10
11
00
00
11
00
01
00
00
00
01
00
10
10
10
10
00
11
11
00
10
00
11
00
00
00
00
00
10
11
10
11
00
00
11
10
01
10
00
00
10
00
10
00
00
00
00
00
01
00
00
10
00
11
10
01
01
00
10
00
11
10
11
00
01
00
10
10
00
10
10
10
10
10
01
01
00
01
00
01
10
10
10
00
00
10
00
00
11
10
00
10
10
00
10
11
11
10
00
10
10
01
11
10
10
10
10
00
00
11
01
11
10
00
10
00
11
01
00
11
10
00
00
00
10
11
00
00
01
10
00
11
00
00
11
10
10
10
10
00
01
00
10
00
10
01
10
01
00
10
11
00
01
10
00
00
01
00
10
10
10
10
00
11
10
00
11
11
00
00
10
11
10
10
10
00
00
00
10
10
00
10
00
00
10
00
00
00
01
00
10
10
00
11
01
00
11
10
01
10
00
10
01
00
11
10
01
01
00
10
00
10
11
11
00
10
10
01
11
10
00
00
10
01
00
01
10
11
00
00
01
11
10
00
10
11
10
10
01
10
00
01
10
11
11
00
00
00
00
11
00
00
10
00
00
00
00
00
00
10
10
11
00
00
00
10
00
00
00
00
11
10
01
00
10
11
10
10
10
00
01
11
01
00
01
11
10
10
00
01
11
11
00
10
11
11
00
00
00
00
10
11
01
10
10
11
00
10
10
11
00
10
00
00
01
01
00
00
10
11
00
00
10
10
10
01
01
11
10
00
00
11
01
00
01
10
01
01
11
10
11
00
10
10
01
01
00
00
11
10
10
11
10
00
10
01
11
01
01
10
00
01
00
11
11
01
01
10
01
10
00
10
00
11
00
01
10
10
00
00
10
11
01
00
01
10
00
00
10
00
00
10
10
10
10
01
00
00
01
10
00
11
11
00
11
00
10
10
00
00
01
10
00
10
10
11
01
01
10
10
01
10
11
00
11
10
11
00
00
00
11
00
00
10
01
10
01
00
10
01
10
01
11
01
01
10
11
10
11
01
00
10
10
00
10
10
01
00
01
10
00
10
10
00
10
01
00
00
01
10
00
01
10
10
11
10
00
00
10
10
00
10
10
00
10
10
10
00
00
00
00
10
11
01
10
00
10
00
10
01
00
00
10
00
01
11
11
00
10
10
01
01
11
10
00
00
10
11
00
01
11
11
00
10
01
01
01
11
11
00
00
10
10
00
00
10
10
01
00
01
00
00
00
10
00
10
00
00
10
11
01
01
00
01
11
10
10
00
11
10
00
00
00
01
11
10
11
00
00
10
10
00
10
00
11
00
00
10
10
00
00
11
11
11
01
10
00
10
10
00
01
10
11
00
01
11
01
10
00
01
00
00
11
01
00
10
10
01
10
11
00
10
01
01
01
01
10
11
00
01
10
10
00
11
01
00
11
01
11
11
00
10
10
10
10
01
01
11
10
01
00
10
00
00
10
10
00
00
11
00
11
11
00
10
00
00
00
11
10
00
11
11
11
10
10
11
00
01
11
11
00
11
10
01
10
10
10
00
10
11
11
01
11
11
00
00
11
10
10
00
00
11
10
01
10
00
10
11
00
10
00
00
00
10
00
00
01
10
11
00
01
10
11
11
00
10
10
11
01
00
00
10
10
11
10
00
10
00
00
10
00
01
00
10
10
10
01
10
10
10
11
01
11
00
01
10
10
00
00
00
10
10
00
10
00
00
10
00
11
11
00
10
10
00
00
00
10
10
00
01
10
01
00
11
10
01
00
11
00
00
01
01
00
01
10
00
01
00
10
11
00
11
01
10
10
01
01
01
00
01
11
10
11
00
00
11
10
00
11
01
00
11
00
00
10
10
10
01
00
10
10
00
10
10
10
11
00
10
00
10
00
00
00
00
00
11
10
11
11
10
10
00
10
00
10
11
00
00
10
11
10
01
11
11
00
01
10
10
00
10
10
00
11
10
00
01
00
10
10
00
11
00
10
10
01
01
10
01
11
01
10
10
11
10
10
11
00
01
10
10
10
00
01
11
00
01
10
10
10
11
01
01
11
11
00
11
00
11
01
00
10
11
01
10
10
11
00
01
00
01
10
01
11
01
10
10
00
00
01
10
10
01
00
10
01
00
10
01
00
00
00
10
10
10
00
10
00
10
01
01
10
10
01
00
11
11
10
10
00
00
10
00
00
11
10
00
10
10
01
11
10
10
10
10
01
10
01
10
00
00
00
10
11
10
10
00
10
10
10
10
00
10
00
11
10
01
11
00
11
11
00
01
10
11
00
10
10
11
00
01
11
00
10
00
01
00
00
11
10
01
10
11
00
11
10
00
10
11
10
00
10
10
10
00
00
00
00
11
10
11
10
10
00
11
11
00
01
10
00
10
11
10
10
00
01
00
11
10
10
00
01
00
10
01
01
00
10
10
01
00
01
11
10
00
01
10
10
00
00
01
00
10
11
01
10
10
00
10
10
10
10
10
00
00
01
10
00
10
10
01
00
11
00
10
00
01
10
10
01
00
00
01
00
00
00
11
10
11
11
11
00
11
10
01
10
01
10
10
11
00
00
10
00
00
11
10
00
00
10
10
00
01
00
11
10
10
10
10
10
01
01
10
10
00
00
01
00
00
10
01
00
01
10
01
00
10
10
01
00
11
00
11
00
10
10
10
00
00
10
00
10
10
01
10
10
10
00
00
01
00
10
10
00
10
10
00
10
00
00
00
00
10
10
00
10
01
01
10
11
01
10
10
10
11
10
11
00
00
11
01
00
01
00
00
00
10
00
10
11
00
11
01
00
11
10
10
10
10
11
00
10
10
00
00
00
10
10
00
00
00
11
10
00
01
10
10
00
10
01
11
00
00
10
10
01
00
00
00
10
11
10
10
10
11
00
10
10
11
00
10
01
00
00
01
10
10
10
00
00
10
11
01
00
11
10
01
11
11
00
00
10
10
11
01
10
11
00
10
10
11
00
00
01
10
00
11
10
10
10
01
00
00
10
11
00
10
00
10
11
01
00
10
01
00
01
10
00
01
10
10
00
00
10
11
10
00
00
00
10
11
11
11
01
10
01
00
11
01
10
10
00
10
10
00
01
10
01
00
10
11
10
10
00
11
11
00
10
01
00
11
10
00
11
00
11
01
00
10
00
00
01
10
11
11
10
01
11
01
00
10
11
10
10
00
10
11
11
00
00
01
00
10
11
00
00
01
00
10
10
00
00
10
10
00
00
10
10
10
10
01
10
00
01
00
01
11
10
10
10
10
01
00
10
00
01
10
00
00
10
00
01
01
10
00
00
10
10
11
11
11
11
00
00
10
11
01
11
01
00
10
00
10
10
01
00
10
11
01
10
00
00
11
11
00
01
00
00
00
00
11
00
11
10
00
01
00
10
11
00
00
00
10
10
10
10
00
10
10
11
10
00
11
11
01
00
10
00
01
01
00
10
00
11
00
10
00
11
01
00
00
00
11
01
00
11
10
00
00
11
00
00
00
11
10
00
10
11
01
11
00
01
00
10
11
00
00
10
01
00
00
00
00
00
10
10
10
10
00
11
11
10
01
00
11
11
11
10
11
00
01
00
01
10
00
10
11
10
10
00
00
00
11
10
01
10
10
00
11
10
01
00
11
10
00
00
11
10
00
00
10
11
00
10
00
10
11
10
01
10
11
10
01
00
00
01
10
10
10
01
00
10
00
10
10
10
10
10
10
00
01
10
11
00
10
00
00
00
00
11
10
01
11
00
00
10
11
01
11
00
00
10
00
10
00
00
10
00
00
10
10
10
01
11
11
10
10
10
10
00
01
10
10
10
10
10
01
10
00
00
00
10
11
11
11
10
00
10
11
11
01
01
11
10
00
11
10
10
11
00
00
00
10
10
10
10
01
11
11
10
11
11
10
10
10
00
10
00
00
00
11
00
10
00
00
11
00
10
11
01
10
10
00
00
11
01
10
01
00
01
01
11
00
01
00
10
10
00
11
11
01
00
10
10
00
00
11
00
00
10
10
10
10
10
11
10
01
11
00
10
10
00
00
10
11
10
10
01
00
10
10
10
01
11
00
00
10
10
01
00
00
11
11
10
00
00
10
11
11
11
01
00
11
00
01
10
01
00
11
00
00
00
11
10
01
00
10
11
01
00
01
10
11
01
01
00
01
01
11
00
00
11
10
11
10
00
00
01
00
10
00
01
10
00
00
11
11
01
11
10
10
10
01
10
10
00
01
00
10
01
00
11
00
01
10
01
01
10
10
11
10
01
01
00
00
10
01
10
00
01
00
01
10
00
01
11
11
01
10
00
01
11
10
10
00
01
10
00
10
11
11
10
10
10
00
01
11
00
01
10
10
10
10
10
00
10
10
00
10
10
00
00
10
01
01
10
00
11
11
10
11
11
00
00
10
01
00
11
11
10
10
00
10
01
01
10
10
00
00
00
00
10
10
01
10
00
11
00
00
11
00
00
00
10
00
10
00
00
00
00
11
10
10
10
11
00
10
01
10
01
00
10
00
00
10
10
01
00
11
00
01
10
11
00
11
00
00
10
00
01
10
01
11
01
01
11
11
10
10
10
10
10
00
00
00
11
10
00
00
00
11
11
00
00
10
11
01
11
01
10
10
00
01
01
10
11
00
10
10
11
00
10
11
11
00
01
10
11
10
11
00
11
10
10
10
01
00
00
10
10
01
01
00
01
00
10
00
00
10
01
11
10
00
00
10
10
00
00
11
00
10
10
01
11
10
10
01
10
10
10
10
01
01
10
10
00
00
00
10
10
00
10
00
00
10
00
00
10
11
01
00
11
11
10
10
11
11
11
10
01
00
00
10
00
10
10
00
11
00
00
11
11
10
11
10
01
01
01
01
10
10
00
00
10
00
01
10
11
00
01
10
00
10
00
10
10
01
00
00
00
10
01
10
10
10
10
10
10
10
00
01
10
00
10
10
11
11
01
01
00
10
10
10
11
11
00
00
00
00
00
10
00
00
11
10
10
00
10
10
11
01
10
11
10
00
10
01
10
11
10
00
01
10
10
11
00
01
01
01
11
11
00
10
00
01
01
10
10
11
00
00
10
00
00
10
11
11
00
01
01
11
00
11
10
11
01
00
10
10
11
01
10
11
10
10
10
00
10
00
01
11
00
00
11
00
01
01
10
01
10
00
00
01
10
00
10
10
10
11
01
11
00
00
00
00
00
10
11
01
10
11
10
00
01
00
00
00
00
00
01
10
10
00
11
00
00
01
00
10
10
00
10
10
11
10
00
00
10
10
10
11
01
00
00
01
10
00
11
00
10
10
10
10
10
11
00
10
10
01
00
10
00
10
00
10
00
01
11
11
01
10
00
10
10
11
00
01
10
00
10
10
00
00
10
10
10
00
11
00
00
00
10
00
10
11
10
00
00
00
01
01
10
10
00
00
10
00
00
11
11
00
00
10
01
01
10
11
00
10
10
10
00
00
10
10
10
11
01
10
01
10
10
01
00
10
10
01
10
11
00
00
00
10
11
00
00
11
10
00
00
10
00
00
01
11
11
10
01
00
00
10
00
10
10
00
01
01
10
10
01
00
01
10
10
00
00
00
11
00
00
00
00
11
00
10
11
00
01
10
11
01
10
10
00
10
10
11
01
01
10
00
11
01
00
11
01
00
11
10
00
00
10
10
01
00
00
10
10
11
00
11
00
00
11
01
00
00
10
10
10
00
10
00
00
10
00
00
00
10
10
00
01
11
00
10
10
00
11
00
00
10
00
01
01
11
10
01
00
01
10
10
00
00
10
10
00
00
00
10
10
11
00
10
00
10
10
10
01
01
01
00
11
10
11
10
00
00
00
10
10
00
10
11
01
00
11
10
11
10
00
01
10
10
10
00
00
10
10
00
11
00
10
10
10
11
10
01
00
10
00
10
10
00
00
10
00
00
00
00
10
00
10
10
11
10
00
10
10
00
00
10
11
10
00
11
01
00
01
10
01
10
00
11
11
10
00
00
10
00
01
10
10
01
01
10
10
00
01
10
00
10
01
00
00
01
00
10
10
10
01
01
01
10
10
01
01
10
10
00
10
11
01
11
10
11
10
10
00
10
00
10
11
01
10
00
10
10
00
11
10
00
00
00
00
11
00
11
00
01
00
11
00
01
10
01
10
10
01
11
00
01
01
10
11
01
10
11
01
00
01
11
10
00
10
00
00
10
11
00
00
11
10
00
11
00
00
10
11
10
10
11
01
10
10
01
00
00
00
11
01
11
00
10
00
11
00
00
00
00
11
11
10
00
10
01
00
10
01
00
10
10
11
00
10
11
11
10
00
10
10
10
10
00
00
00
00
00
00
00
10
10
01
11
00
10
00
10
00
01
10
11
00
11
00
00
00
10
00
01
10
10
01
01
00
10
11
00
01
11
11
00
10
10
00
00
10
00
11
10
10
10
00
00
10
10
11
00
00
10
11
10
11
11
10
00
11
01
00
01
11
10
00
00
01
11
11
01
10
10
00
00
00
11
01
00
10
00
11
10
01
00
11
10
01
00
10
10
01
10
01
00
10
10
11
00
01
10
01
01
01
00
00
10
10
00
00
00
10
00
00
01
00
10
10
11
00
00
10
10
11
00
10
11
01
01
01
00
11
00
01
00
00
10
11
00
10
10
10
00
00
11
00
10
00
01
10
01
11
11
00
11
10
11
10
01
00
10
00
11
10
00
01
01
11
11
11
10
10
10
01
00
11
10
01
00
11
00
11
00
01
10
00
01
11
00
01
00
01
00
10
10
01
00
10
10
01
10
00
10
10
01
11
10
10
10
00
10
01
00
01
11
01
10
00
10
01
01
10
00
00
10
00
11
10
01
00
00
11
10
01
10
00
01
00
00
11
11
00
00
10
11
11
10
01
00
10
00
01
10
10
00
00
10
01
01
10
10
01
11
00
00
10
10
10
00
00
10
10
00
10
00
10
11
00
11
00
00
10
10
10
00
00
11
00
10
00
00
01
00
00
11
10
10
11
10
00
10
10
01
11
10
01
11
00
10
10
01
01
10
11
00
00
00
00
10
10
00
00
10
10
10
11
00
11
00
01
10
10
00
00
10
11
00
00
00
00
11
01
01
11
11
00
10
01
10
10
10
00
00
01
11
10
01
11
10
10
11
01
01
10
00
00
10
00
00
10
10
10
10
00
01
10
10
00
11
00
01
00
00
10
10
10
00
10
10
00
01
00
10
10
00
11
00
00
10
11
00
10
10
00
10
00
00
10
01
00
10
10
10
00
00
00
10
10
00
00
00
00
00
10
11
00
10
10
00
10
00
11
00
00
10
00
00
00
11
10
00
00
11
11
11
11
01
00
10
10
10
10
00
00
10
10
00
11
00
10
10
01
10
00
10
11
00
00
01
00
11
10
00
10
01
01
10
01
01
10
10
00
01
11
01
01
11
01
00
11
10
11
01
01
00
11
00
01
11
00
10
00
00
11
00
00
10
11
00
01
10
10
00
10
01
00
00
00
01
10
00
11
10
10
11
00
01
10
10
11
10
01
01
00
10
01
00
00
00
10
11
11
11
10
10
00
00
10
00
01
10
01
10
00
01
00
00
10
10
00
10
10
10
00
00
10
11
10
10
00
10
10
00
00
10
00
11
10
11
00
10
00
01
00
11
10
00
10
00
10
11
00
00
10
10
00
10
10
01
11
00
01
00
00
11
00
00
00
10
10
11
11
00
10
10
00
10
00
01
10
11
00
11
00
01
11
10
10
01
00
10
11
00
00
00
10
00
01
00
10
10
10
00
11
11
00
01
10
01
11
11
11
00
00
11
10
00
00
10
11
00
10
10
11
01
00
01
10
00
01
01
01
10
10
10
00
11
10
01
00
10
11
01
00
11
10
00
00
10
00
01
00
11
11
10
00
01
11
10
10
11
10
00
00
01
00
00
10
11
10
00
10
11
10
00
10
00
10
01
10
11
01
00
11
01
00
11
10
01
00
11
00
10
11
00
10
01
10
10
10
01
00
10
00
01
00
10
10
10
10
00
00
00
11
10
11
10
00
00
00
11
10
00
00
00
00
10
00
01
10
10
00
11
11
10
10
00
01
11
01
11
01
00
00
00
10
00
00
10
10
10
01
00
10
11
00
00
01
00
01
00
10
11
00
00
10
01
00
00
10
11
10
00
10
01
00
00
01
10
11
10
11
00
11
00
01
10
10
10
00
10
10
00
10
10
10
00
00
11
00
11
10
10
11
00
10
10
01
00
10
00
01
00
00
10
10
10
01
01
10
10
10
10
00
11
10
11
01
10
11
10
00
00
00
10
00
00
10
10
01
00
10
00
10
11
00
10
10
10
00
01
10
10
10
11
11
01
10
11
00
10
10
00
10
10
10
10
00
10
11
01
00
01
11
11
00
01
10
01
10
01
00
00
00
00
10
11
10
01
10
01
11
00
10
11
00
11
10
01
10
11
11
11
01
01
00
11
00
00
11
11
00
01
10
11
10
00
00
10
10
00
10
10
10
10
00
11
10
10
00
01
01
00
10
00
10
10
10
00
10
01
01
11
10
01
10
11
00
10
11
10
01
10
11
01
00
11
00
00
11
10
01
10
11
10
10
01
10
10
00
10
11
00
10
01
10
10
00
00
11
10
10
00
10
10
00
10
00
00
00
10
10
10
01
11
00
00
10
10
01
11
10
11
01
00
00
11
10
10
01
01
10
10
01
10
01
01
00
10
10
10
10
11
01
11
10
01
01
10
10
10
11
00
01
10
10
01
00
11
10
00
00
00
10
00
10
11
00
01
00
10
00
00
11
00
11
10
10
00
00
00
10
10
00
10
10
01
10
10
11
10
10
11
00
10
10
00
01
10
10
00
00
10
11
01
00
10
11
00
10
11
01
11
10
10
01
00
00
00
01
10
10
01
00
01
01
10
10
11
00
00
00
00
10
01
10
10
00
00
10
10
00
00
11
10
11
10
10
10
01
10
00
01
10
00
11
00
11
00
10
10
01
10
11
00
00
00
00
01
10
00
01
10
10
00
01
11
00
00
01
10
11
10
10
00
00
10
11
01
00
00
10
10
10
11
00
01
10
00
00
10
01
11
00
10
10
10
01
10
10
01
01
01
10
10
00
01
10
10
10
00
00
10
01
11
10
11
10
00
00
00
10
10
00
01
11
00
00
11
00
01
11
11
10
10
00
01
00
01
00
11
00
11
00
10
10
01
10
00
00
10
10
11
10
01
01
10
00
00
10
01
01
10
00
10
10
11
11
00
10
11
00
10
00
10
10
00
11
00
00
01
10
10
00
10
01
00
10
10
10
01
00
11
00
11
10
10
01
01
01
10
11
00
00
11
11
00
00
00
11
01
01
11
11
10
00
01
00
10
10
11
01
00
10
01
11
10
00
01
00
10
10
10
10
10
10
00
10
00
00
10
10
00
10
00
10
10
00
01
10
01
10
01
00
00
10
10
00
00
10
10
10
10
01
00
10
10
00
11
10
01
00
00
11
10
10
10
10
00
10
11
00
01
00
00
00
00
01
10
11
01
01
00
01
00
11
00
10
00
00
01
11
11
01
00
10
01
10
10
01
00
10
00
10
00
01
10
10
11
00
10
10
10
01
10
10
11
10
00
10
10
01
00
11
11
10
10
11
00
00
10
11
10
00
00
11
00
00
00
10
01
00
11
00
01
00
00
01
00
10
11
01
10
00
01
11
01
00
01
10
10
00
00
01
11
00
10
00
00
10
10
00
10
10
00
10
10
00
00
11
10
01
11
11
11
00
00
10
10
00
10
10
10
10
00
00
00
01
00
10
10
11
00
00
11
00
00
10
10
10
01
00
11
10
01
10
00
00
00
01
00
00
10
11
10
11
00
11
11
01
01
01
10
01
10
11
11
01
10
10
00
00
10
10
10
00
00
00
00
00
00
01
11
00
10
00
10
10
01
00
11
11
10
01
00
10
00
01
00
01
11
10
00
11
01
00
10
10
01
00
10
11
00
10
10
00
00
01
10
01
10
11
00
01
01
00
10
10
11
00
00
10
00
00
00
10
10
00
00
11
00
01
11
10
11
00
10
11
11
01
00
10
10
10
00
00
01
10
11
10
01
10
11
10
01
11
10
10
01
00
10
00
10
10
00
00
11
00
00
10
00
10
10
00
01
11
01
00
00
10
10
10
01
11
10
01
00
01
10
11
00
00
01
10
01
10
11
00
00
10
10
00
10
11
00
00
11
10
10
10
11
00
11
11
11
10
10
00
00
00
00
11
10
00
11
00
01
00
10
11
01
10
00
11
11
00
00
01
11
10
00
11
10
01
00
00
00
10
10
00
10
10
00
10
01
00
10
10
00
10
01
01
01
11
10
11
00
11
00
01
00
10
10
11
10
00
00
10
10
10
00
01
11
10
10
11
00
01
00
11
00
01
00
10
10
00
00
11
10
10
11
00
00
00
10
01
01
10
00
10
10
10
00
10
10
10
00
01
11
00
00
10
00
00
10
11
11
00
00
00
11
00
10
10
01
00
11
00
00
11
00
00
00
10
11
01
00
10
01
10
11
01
00
11
10
10
00
00
10
10
10
00
01
10
00
10
10
10
11
11
01
10
00
10
11
00
00
00
10
00
00
11
10
01
10
10
00
01
00
00
00
00
00
01
10
10
10
11
10
11
00
01
10
00
10
01
10
10
01
00
01
00
11
11
10
00
10
10
00
11
10
10
10
10
01
00
10
00
00
10
00
11
01
00
11
10
10
01
00
11
11
11
00
01
00
01
10
10
00
00
11
10
00
00
11
10
11
00
11
11
10
10
00
00
11
01
00
00
11
11
10
10
01
10
10
11
00
00
10
00
10
10
10
10
10
00
10
10
01
00
10
10
00
00
11
11
00
11
10
10
00
00
10
00
00
10
11
01
11
01
10
11
10
00
10
01
01
00
01
01
11
10
00
01
11
01
00
10
10
00
00
01
00
11
11
01
01
10
11
10
11
00
10
11
01
00
10
10
01
10
00
00
10
10
10
10
10
11
01
10
00
00
11
10
00
11
01
01
10
10
00
10
00
10
00
01
10
10
00
00
10
00
00
00
01
01
11
01
10
01
10
11
10
10
01
00
01
00
01
11
10
10
11
01
00
00
00
01
10
11
10
11
00
00
10
10
11
01
11
00
10
01
00
00
00
10
10
00
10
00
00
10
00
00
01
01
10
10
11
01
00
10
01
11
11
01
01
01
01
00
11
00
10
10
01
01
00
10
11
10
00
00
10
11
00
01
10
01
01
00
10
00
10
10
10
01
01
01
11
11
11
10
00
00
11
10
10
01
10
11
10
00
11
01
00
10
00
01
00
11
10
00
11
00
01
10
00
00
11
00
10
10
00
00
10
00
11
11
00
10
11
00
11
10
10
11
00
10
00
10
11
00
01
00
10
10
10
10
01
11
10
10
10
10
00
11
00
00
11
10
10
11
01
00
11
01
00
00
11
00
00
11
10
11
00
01
10
10
11
10
00
10
10
00
11
10
10
00
00
01
11
00
00
00
00
01
00
11
10
11
00
10
10
00
10
10
01
00
10
11
10
00
10
10
01
00
00
00
00
10
10
00
00
01
00
00
11
11
00
10
11
10
01
00
00
10
11
01
00
00
11
01
00
01
11
00
10
10
01
00
01
10
10
10
10
01
00
00
11
00
01
00
11
11
10
01
01
10
10
01
00
11
01
01
11
00
00
10
10
10
00
00
11
00
00
10
10
00
10
00
00
10
10
00
01
10
00
00
10
01
01
10
10
10
10
00
11
10
10
00
00
10
00
00
11
10
00
10
00
11
00
00
00
01
10
10
00
11
10
01
00
00
01
10
00
00
10
11
11
01
00
11
00
11
11
00
10
00
00
01
10
10
00
00
00
10
00
00
01
00
10
10
00
11
00
10
10
11
10
00
01
10
11
01
00
10
00
00
00
10
10
10
10
10
00
01
10
11
10
10
00
10
00
01
10
00
00
00
10
00
00
11
11
01
10
10
01
00
00
01
01
11
01
01
10
00
10
01
00
10
11
01
10
10
00
01
00
10
00
11
10
01
01
10
10
00
00
00
00
10
00
00
10
00
11
00
01
10
00
00
10
00
10
00
00
00
00
10
11
10
01
00
11
01
00
10
01
00
01
01
10
10
00
10
00
01
10
11
00
10
10
01
00
11
01
00
00
00
10
00
00
10
10
01
00
10
00
00
00
00
01
10
00
01
00
10
10
01
00
10
00
00
10
11
00
11
00
10
10
10
10
00
00
10
10
00
01
11
10
00
00
10
01
10
10
00
10
10
01
10
00
00
11
11
11
01
01
01
11
01
00
10
10
10
10
00
00
00
11
10
00
00
11
10
01
10
10
11
11
10
01
00
11
10
00
00
10
10
00
00
01
00
11
00
10
00
10
10
11
00
00
01
10
10
11
01
00
01
00
10
11
01
10
10
10
00
00
00
00
10
01
00
10
00
10
01
11
10
00
00
11
01
00
10
10
10
10
00
00
11
10
11
10
00
00
01
01
10
10
00
10
01
10
01
10
10
01
10
10
00
10
10
10
10
00
00
11
01
10
11
01
11
11
01
01
00
00
10
10
00
00
10
10
00
11
11
10
01
00
01
00
01
10
10
10
00
00
10
10
00
11
10
01
11
00
01
10
01
01
00
00
10
10
01
10
11
00
10
00
01
00
00
10
00
11
10
10
10
00
00
10
00
10
00
00
00
10
01
01
00
10
00
10
11
01
00
11
10
10
01
00
10
00
10
10
00
00
01
11
00
10
01
00
11
00
00
10
11
10
00
00
00
10
00
10
10
01
11
10
11
10
11
11
01
11
10
00
00
01
10
00
11
10
11
01
00
11
10
00
00
00
10
01
10
10
00
11
10
00
01
00
11
00
00
10
00
00
10
00
11
00
01
11
10
10
00
10
01
00
00
10
11
10
01
01
00
11
10
01
10
00
00
00
00
10
00
10
10
00
11
00
00
01
11
10
01
01
10
11
10
00
01
11
10
10
10
00
01
00
10
11
00
00
00
01
10
11
00
01
00
11
10
00
11
11
10
00
01
11
00
11
01
00
01
00
11
11
00
00
10
00
00
01
00
11
11
11
01
01
11
11
10
00
00
10
11
10
10
00
00
00
01
10
00
11
10
10
10
10
00
10
10
00
00
10
11
10
00
10
00
11
11
00
00
11
11
10
11
11
11
00
00
01
10
11
00
10
00
01
10
11
00
00
01
01
01
10
11
00
00
10
10
10
00
10
10
01
01
10
00
10
00
00
10
10
10
00
01
01
11
10
00
10
10
00
00
11
11
00
01
10
10
00
10
10
00
00
11
11
00
11
10
00
10
11
11
00
00
01
11
10
00
10
10
10
00
11
00
10
11
10
11
00
11
11
01
01
10
00
00
00
10
10
01
00
10
00
01
00
00
00
11
00
11
10
00
00
10
10
01
11
10
10
00
10
00
01
11
00
10
00
10
10
10
00
00
10
11
10
00
10
11
10
10
10
10
00
00
10
10
00
00
10
00
00
00
00
01
00
10
11
01
00
11
11
00
11
11
11
11
01
01
11
10
11
10
00
01
00
01
10
10
10
10
00
00
00
10
00
00
10
10
10
01
10
01
10
00
11
01
00
11
10
01
00
01
11
11
01
01
10
10
10
01
01
11
00
00
00
01
11
10
01
00
00
00
00
01
01
11
11
01
01
11
11
00
00
10
10
00
00
10
10
10
00
01
01
00
11
10
00
11
10
10
00
11
11
10
10
01
01
11
00
10
11
01
10
00
01
01
11
01
01
10
10
00
00
10
10
00
10
10
01
10
00
00
11
11
00
00
10
10
00
11
01
11
10
10
11
00
11
11
10
00
11
10
01
10
10
10
10
11
11
10
00
00
01
10
00
00
10
10
00
01
11
10
11
11
01
11
01
01
10
00
00
00
10
10
00
00
10
10
00
10
10
00
10
00
10
00
01
10
10
10
00
01
10
00
10
00
00
10
00
10
10
01
01
00
10
00
00
11
01
01
00
11
10
00
11
10
01
01
00
11
10
10
10
10
10
00
00
10
00
10
11
01
10
00
11
00
00
10
10
11
00
11
11
10
10
00
10
01
10
00
11
10
00
10
00
10
10
11
10
01
00
10
10
10
11
11
01
01
11
01
00
01
10
10
01
00
00
10
00
00
10
10
10
01
00
10
00
00
00
00
10
01
00
11
10
10
10
10
10
10
00
10
01
10
00
00
10
01
10
10
10
10
00
00
00
00
10
01
10
11
11
00
11
00
01
11
11
01
01
00
01
01
10
11
10
00
00
00
00
10
10
10
00
10
10
00
11
11
00
10
00
10
10
01
00
01
11
10
00
00
01
00
01
11
00
10
10
00
00
00
00
00
10
00
00
10
11
00
01
10
10
10
01
10
00
01
10
10
10
10
00
10
00
01
10
00
01
11
10
10
10
10
11
10
00
11
10
00
01
01
11
00
11
10
00
00
10
10
01
01
10
10
01
10
11
11
10
01
00
10
10
10
11
00
00
10
11
11
00
10
00
10
00
11
11
10
01
01
01
00
00
00
01
01
11
00
01
00
01
00
10
10
00
11
11
00
11
10
01
11
11
11
11
00
01
11
11
00
00
10
11
00
11
00
01
11
11
11
00
11
10
00
01
11
11
11
11
00
10
11
00
00
10
10
01
00
10
10
00
10
00
11
11
11
00
01
01
00
10
10
00
00
11
10
00
00
10
01
01
00
11
11
00
00
01
00
00
00
10
11
00
01
00
10
10
10
11
00
11
10
10
01
10
11
00
00
10
01
00
10
10
01
10
11
01
11
10
00
00
01
00
10
10
01
00
01
01
10
10
00
00
00
11
10
01
10
01
10
11
11
01
00
11
00
00
01
11
11
00
11
10
00
01
10
10
01
00
10
00
00
10
10
00
10
00
01
10
00
01
10
11
10
10
10
00
00
10
01
00
01
00
01
10
10
10
11
11
00
10
10
00
10
01
01
10
00
00
10
10
00
01
01
11
11
10
10
11
00
10
10
10
00
10
00
01
01
00
00
10
10
01
10
11
01
00
11
00
00
00
10
10
10
00
00
10
01
11
00
10
01
10
10
01
10
10
00
10
01
01
11
10
10
10
10
00
00
00
11
01
00
10
01
10
10
00
10
00
01
00
11
00
11
10
00
01
10
00
00
10
00
00
10
10
10
10
00
00
10
10
00
00
00
10
01
01
01
01
00
01
00
00
11
11
00
00
11
10
01
01
00
10
11
10
11
00
00
00
10
10
00
10
10
10
01
10
00
10
00
01
11
10
01
01
10
11
01
10
11
10
11
01
11
00
00
10
10
10
00
01
10
10
00
01
00
10
10
01
00
11
10
00
10
10
11
10
10
00
10
10
00
11
11
00
00
10
00
11
00
00
10
00
01
10
11
00
01
10
10
00
00
01
10
10
00
11
10
11
11
00
10
10
01
00
01
10
00
00
01
11
10
10
00
10
10
00
10
00
00
10
11
00
00
00
11
00
00
01
00
01
10
11
10
10
00
10
10
00
00
10
10
01
00
11
10
00
00
11
01
01
11
11
10
00
10
11
10
00
00
10
00
00
10
00
10
11
11
00
00
00
10
10
10
00
10
01
00
00
10
00
00
11
00
10
00
11
11
10
00
00
10
11
00
11
00
00
11
00
01
10
00
00
00
01
01
10
11
01
11
01
00
01
11
01
00
10
10
10
00
00
00
10
10
10
10
01
01
01
00
00
11
10
11
00
10
11
11
11
01
10
01
10
11
11
11
00
00
10
10
01
10
10
00
10
00
10
10
00
11
10
10
00
01
11
00
00
10
00
00
00
00
11
11
00
01
10
10
00
00
00
11
10
01
00
10
00
00
10
00
10
10
10
11
00
01
00
00
10
10
10
00
11
10
10
00
01
01
11
10
00
10
10
10
10
01
00
11
01
00
01
10
10
00
01
10
10
11
00
01
01
11
11
01
01
10
00
00
01
10
10
00
00
00
11
00
00
00
00
01
01
11
11
11
10
10
10
10
00
00
11
10
00
00
00
11
10
00
00
00
10
01
00
10
00
00
10
00
00
00
10
11
10
10
10
10
00
11
00
00
10
11
01
11
10
00
00
11
10
00
01
00
11
10
10
00
10
10
11
10
01
00
10
10
00
00
00
01
11
00
00
01
10
00
11
00
00
10
10
10
11
10
00
10
00
00
00
01
11
01
01
11
01
00
10
10
10
00
00
10
10
01
00
01
00
00
11
00
10
11
11
01
00
00
11
11
00
10
00
00
10
00
10
10
01
00
10
00
00
10
00
11
01
00
11
10
11
00
10
10
01
00
10
00
00
11
01
00
10
10
00
00
11
10
10
01
01
00
00
00
10
10
00
00
11
00
11
10
10
10
00
01
10
01
00
01
10
10
01
10
10
11
01
00
00
10
01
00
00
00
01
10
00
01
10
11
10
10
10
01
00
00
11
10
10
11
10
00
01
00
11
00
01
10
11
01
00
00
11
11
00
01
10
10
10
01
00
11
11
01
00
00
00
00
00
10
10
00
00
11
11
10
00
11
01
10
10
01
10
11
00
00
00
00
10
10
00
00
00
10
10
11
00
00
10
11
11
11
10
00
01
10
10
01
11
10
00
10
00
00
10
01
10
01
01
10
01
10
01
00
01
00
00
10
11
11
00
10
00
00
10
00
00
10
11
00
01
10
00
00
00
01
00
11
10
11
10
00
00
10
10
01
00
10
10
00
01
10
00
10
10
00
00
00
10
01
11
11
00
01
00
11
01
00
00
10
11
00
00
00
10
11
11
01
10
00
00
10
11
00
11
01
11
11
00
11
10
01
00
10
10
11
10
00
01
00
01
00
00
11
11
11
00
10
10
00
00
11
11
00
10
10
00
10
01
01
11
01
00
10
00
01
01
10
11
10
11
00
11
11
00
00
10
00
00
10
00
01
00
00
01
10
11
11
10
00
00
10
11
11
00
10
11
10
10
10
01
00
11
10
00
11
11
01
10
00
10
10
10
10
01
00
00
10
00
10
10
11
01
01
10
01
10
11
00
01
10
10
00
00
00
10
01
00
10
10
00
00
11
11
11
10
00
10
10
00
01
10
10
10
01
01
00
01
01
10
00
10
00
00
10
10
00
00
10
01
01
10
00
11
00
11
10
00
01
01
11
11
01
01
10
10
10
11
10
01
00
11
01
00
00
10
10
01
10
10
00
01
00
00
10
10
10
01
10
00
01
10
01
10
00
00
00
01
10
11
00
00
11
00
01
01
01
11
10
11
11
00
00
00
00
11
10
00
00
10
11
10
01
10
11
00
00
10
10
00
10
01
01
00
00
10
00
10
11
10
11
11
10
00
11
00
00
10
10
01
00
10
01
10
11
10
01
01
00
00
10
10
00
00
10
00
01
10
10
01
00
10
00
00
11
10
00
10
10
01
00
00
10
10
10
00
00
00
00
10
00
10
11
01
00
01
10
10
01
10
00
01
11
10
10
00
10
00
10
00
00
10
00
00
01
00
10
10
00
00
01
10
01
00
10
00
00
11
10
11
00
10
00
10
00
00
11
01
01
11
11
10
01
00
10
00
00
10
11
01
01
00
00
00
01
10
10
10
01
01
10
01
10
10
01
00
00
10
00
00
01
00
00
10
10
01
01
00
01
10
10
10
00
11
10
01
01
01
10
10
10
01
00
10
10
00
10
10
01
00
11
01
01
10
10
00
01
00
01
11
10
10
11
00
10
10
00
00
00
11
10
10
00
00
11
00
01
01
01
10
10
10
11
01
00
00
10
10
10
00
00
01
00
11
00
00
10
00
10
00
10
10
10
00
00
01
10
10
00
00
10
00
10
10
10
00
00
01
10
00
10
10
10
00
00
11
00
00
01
00
11
01
01
01
11
11
00
01
11
11
01
01
11
00
01
10
10
10
01
00
11
10
11
00
11
10
11
00
01
10
01
10
11
01
00
00
10
10
01
00
10
10
00
10
10
10
01
00
01
10
11
00
10
11
01
01
10
10
00
00
01
11
10
00
10
11
00
00
01
11
01
10
10
00
00
11
10
00
11
10
10
10
10
00
00
11
11
10
01
11
01
00
10
00
00
10
11
10
11
10
00
01
10
10
00
01
10
00
00
11
01
10
00
10
01
01
10
01
11
10
01
10
11
11
00
00
01
01
10
10
00
10
10
00
11
10
10
00
01
00
00
00
10
11
11
10
10
00
11
10
00
00
01
00
10
00
10
10
00
00
01
11
10
10
00
01
00
10
11
00
00
11
00
00
10
10
10
00
10
00
00
10
00
10
11
10
10
00
10
11
11
10
00
00
00
11
00
00
10
00
00
10
11
00
11
00
01
10
10
01
01
10
10
10
10
10
01
00
01
11
10
11
10
00
00
00
11
10
00
10
11
10
10
00
00
10
10
00
10
00
10
00
11
00
00
11
00
11
01
10
00
01
01
10
10
01
10
10
11
00
01
01
00
00
10
10
10
10
10
10
10
01
10
10
00
01
10
11
10
00
01
10
11
00
01
10
01
00
00
01
10
10
01
11
10
00
01
11
10
00
10
00
01
01
10
00
00
10
00
10
10
01
11
00
00
10
10
10
00
11
00
10
00
00
11
11
01
01
01
00
10
00
01
10
11
00
10
11
10
10
11
01
01
10
00
10
11
00
01
00
10
11
00
01
11
00
00
10
10
11
00
00
00
11
10
00
00
11
10
10
10
01
00
01
10
00
00
11
00
01
10
10
00
11
11
11
10
00
01
00
11
10
01
01
01
10
10
00
11
00
00
10
10
00
11
10
10
01
00
00
01
10
10
11
00
01
00
00
10
10
10
10
10
01
11
01
00
10
00
10
10
00
10
10
01
10
00
00
10
10
10
10
01
11
01
00
01
00
00
01
11
10
11
00
01
10
11
11
00
00
10
00
01
01
00
00
10
11
10
00
10
10
01
01
00
11
00
00
10
01
00
11
00
11
00
10
10
00
10
00
01
01
10
11
10
01
11
10
00
00
00
10
10
10
00
00
10
00
10
11
01
00
01
10
11
01
00
11
00
10
10
10
01
00
10
00
11
00
10
11
00
11
10
10
01
01
00
10
10
00
00
10
01
00
10
10
01
10
11
00
00
10
00
00
11
00
00
00
00
11
10
10
00
10
01
01
10
11
00
01
11
10
00
11
10
11
11
01
00
10
10
11
01
00
10
11
00
11
10
01
00
01
10
10
10
00
01
10
00
00
10
01
10
10
10
00
00
01
00
10
00
00
00
10
01
10
11
10
11
00
01
00
10
10
00
01
00
10
01
10
01
00
10
10
10
01
00
10
10
10
01
01
11
11
00
10
10
00
00
11
10
00
00
11
01
10
11
00
01
00
10
00
10
00
01
01
10
00
10
11
10
11
10
00
00
10
10
00
10
10
00
01
11
00
01
00
01
10
11
00
10
10
00
10
11
10
00
00
10
00
00
10
00
00
10
01
00
11
10
11
10
00
10
10
00
00
11
10
10
10
10
01
00
00
10
10
00
11
01
00
01
10
10
01
10
10
01
00
10
01
11
00
00
10
00
00
10
00
01
11
10
00
10
10
10
10
00
01
01
11
10
00
11
10
01
10
10
00
01
10
10
10
00
01
10
11
00
11
01
00
01
11
01
10
10
01
01
00
00
11
10
10
01
10
10
00
10
10
01
01
10
11
10
10
10
00
01
01
10
10
01
00
10
10
11
00
11
10
10
00
11
01
10
10
00
11
01
10
00
11
00
11
10
00
11
00
11
00
01
10
11
00
01
11
10
10
11
00
00
01
11
10
00
11
11
10
10
00
10
01
01
10
00
11
11
00
10
11
00
00
00
00
00
00
01
10
11
10
10
10
11
00
01
11
10
11
10
10
10
01
00
00
11
10
10
01
10
00
11
00
10
10
00
00
00
00
11
00
10
10
00
10
10
10
00
00
10
01
10
11
10
00
10
00
10
10
00
01
00
11
11
00
00
10
00
10
10
00
00
10
10
00
00
01
00
00
10
00
00
00
00
01
11
11
01
10
11
01
10
10
00
00
10
00
01
00
00
10
00
11
00
11
11
10
00
11
00
00
01
00
10
00
10
11
00
01
00
11
10
11
00
11
10
11
10
01
01
11
11
10
00
01
11
10
10
01
11
00
00
00
00
10
10
10
10
11
10
10
00
01
10
10
00
00
10
10
10
10
11
01
10
10
10
11
00
01
00
10
01
11
11
11
00
10
10
10
10
11
10
01
01
11
01
00
01
00
10
00
00
10
10
00
10
00
10
10
10
01
11
10
01
00
00
11
01
10
10
00
01
01
11
11
00
00
10
10
11
10
00
10
11
01
00
00
00
00
10
10
00
10
11
10
00
01
11
01
00
10
10
00
00
11
01
11
11
00
11
11
10
01
01
11
11
01
01
00
00
11
00
10
11
00
00
11
10
01
00
11
01
00
11
00
11
11
00
00
00
11
11
11
00
00
00
10
10
10
10
00
00
11
10
01
10
00
00
00
00
00
00
11
10
10
11
10
10
10
11
00
00
01
00
00
10
10
10
11
00
10
10
01
00
11
01
01
11
01
11
10
00
00
01
11
11
00
00
11
10
10
00
10
10
11
11
00
00
01
00
00
10
00
00
10
10
00
11
10
10
10
01
00
10
01
00
01
11
00
01
11
11
00
00
11
11
00
00
00
10
10
00
00
00
10
00
10
10
10
11
01
00
00
10
10
10
10
00
01
01
10
10
10
00
10
10
11
00
01
00
10
01
11
10
00
00
11
00
00
10
10
11
00
00
10
10
10
10
10
10
10
01
01
01
00
00
00
10
00
11
10
00
00
11
00
00
10
11
00
00
00
00
10
00
11
11
10
10
11
01
00
11
00
01
10
00
10
11
00
10
01
01
10
00
10
10
01
00
00
10
10
10
01
01
11
01
00
00
00
01
10
01
00
11
00
01
00
00
01
00
10
11
00
10
00
00
11
10
00
10
00
00
11
00
10
00
00
01
00
00
10
00
00
10
00
10
10
00
00
00
10
00
01
10
10
00
01
10
01
00
10
00
00
11
00
01
11
10
11
00
10
00
10
10
01
10
00
11
11
00
00
01
10
10
10
10
00
10
11
00
11
00
00
10
10
10
00
11
11
00
11
00
11
00
10
00
00
10
00
00
10
00
01
11
00
00
10
00
01
10
11
11
00
10
10
00
01
01
10
10
01
00
00
00
01
10
01
11
11
00
10
10
00
01
00
00
00
00
00
00
00
10
00
01
00
10
01
00
11
00
00
10
11
00
11
00
10
10
00
00
10
01
11
00
11
10
10
10
10
00
01
10
11
00
10
11
00
11
01
00
10
01
00
10
01
00
01
10
11
00
00
11
10
10
01
11
00
00
00
10
00
10
10
01
11
10
10
10
10
00
00
10
11
10
01
10
10
01
00
10
01
00
10
11
10
00
10
00
01
10
01
00
11
00
11
11
00
11
10
00
00
00
00
11
11
00
00
00
00
01
01
11
10
00
10
10
11
01
01
11
11
10
00
01
00
10
10
00
01
10
11
00
11
10
00
00
10
10
01
01
11
01
00
11
00
00
00
11
10
01
00
00
11
11
00
10
00
00
00
00
10
10
00
10
01
01
11
00
00
10
10
00
01
10
11
00
00
01
10
00
00
10
01
10
10
10
00
10
10
00
01
01
10
10
00
11
10
01
11
00
01
11
10
11
10
01
10
01
10
10
10
01
10
10
00
01
00
10
10
10
00
11
11
10
11
00
10
10
10
01
00
11
00
01
00
10
00
10
00
00
01
11
10
01
10
00
00
10
10
00
00
11
10
10
01
10
10
10
10
01
10
10
00
01
10
00
01
10
01
00
00
10
10
01
10
10
00
10
11
11
01
10
11
00
01
00
10
10
00
10
00
01
00
00
01
10
10
00
00
01
10
10
11
10
10
00
10
00
00
01
00
10
11
00
10
00
11
01
10
10
01
00
10
00
01
10
10
01
01
01
11
10
00
01
11
11
01
00
10
00
11
00
00
10
10
11
01
00
00
01
11
11
00
10
00
10
00
00
10
10
01
11
11
00
11
00
11
11
11
00
00
10
11
00
01
10
10
10
11
10
00
00
11
10
11
10
10
00
01
00
01
00
10
10
00
10
00
11
10
10
00
10
01
00
00
00
00
00
00
10
10
11
10
10
10
00
10
10
11
00
10
11
00
10
00
11
10
10
00
00
11
11
10
10
00
00
11
10
01
00
10
10
11
00
00
11
11
00
00
10
10
10
11
00
00
00
10
10
11
10
01
01
01
00
00
00
00
00
11
10
00
01
01
10
10
00
11
10
10
00
00
10
10
10
10
10
01
00
11
10
00
11
10
00
00
01
11
11
01
00
10
11
10
10
10
10
00
01
10
01
00
11
11
10
10
00
10
00
01
10
01
10
00
10
10
00
11
00
00
10
10
10
10
01
10
11
11
00
00
10
00
11
10
01
00
10
00
10
00
01
00
11
10
00
00
00
01
10
01
00
01
10
11
00
11
10
00
00
10
11
01
10
11
00
10
00
11
10
10
10
00
11
00
00
10
00
01
10
10
00
10
11
10
10
10
00
00
00
10
01
00
11
01
01
11
10
10
00
10
10
01
00
11
00
00
10
01
10
10
10
00
00
11
11
10
00
00
10
00
10
00
11
10
10
00
00
10
10
01
00
10
11
00
11
10
01
00
10
11
00
10
10
10
00
10
01
10
00
10
10
00
00
10
01
01
11
11
00
00
00
00
00
11
00
01
00
00
11
10
00
10
00
01
10
11
11
10
01
10
10
11
00
11
10
10
00
01
11
11
10
00
00
11
00
00
01
10
10
10
11
10
00
10
00
00
01
11
11
10
11
00
11
11
10
00
01
00
11
10
11
01
10
01
01
00
11
00
00
10
10
10
00
01
11
10
01
11
01
01
01
00
11
01
11
10
00
00
11
10
01
01
10
10
11
10
00
00
10
10
01
00
10
00
10
11
00
00
10
10
10
10
00
01
00
01
11
00
10
01
10
10
10
00
11
10
10
00
11
10
10
00
01
01
11
01
00
10
00
11
10
00
00
10
00
10
10
00
00
10
10
10
10
00
11
00
00
10
10
11
10
00
00
01
11
10
10
10
10
10
01
11
10
00
11
00
00
10
00
10
10
10
01
11
10
00
00
00
11
00
11
00
10
01
10
01
10
00
01
00
10
11
10
11
10
10
10
10
00
00
00
10
11
00
10
11
00
11
10
00
00
01
00
00
01
01
10
11
01
01
01
10
00
00
10
01
11
11
10
00
00
10
01
01
00
10
10
10
00
10
11
00
00
00
10
01
01
11
10
10
01
11
00
11
10
01
10
10
00
10
10
01
00
00
01
00
00
00
11
10
01
01
10
10
10
10
00
10
10
00
01
00
00
10
00
00
10
10
00
00
10
00
10
01
00
00
01
10
10
00
11
10
00
00
11
11
01
00
11
01
10
00
00
10
11
01
11
00
00
11
10
10
01
10
01
11
11
00
10
00
10
10
10
00
10
01
00
00
01
11
00
11
10
10
10
10
10
10
10
00
00
01
10
11
01
10
10
00
01
10
00
00
01
11
11
00
11
00
01
10
11
11
00
00
00
10
01
10
10
00
10
00
00
00
11
00
00
10
10
10
11
10
01
01
00
10
11
00
10
01
00
10
11
10
00
10
11
00
10
00
01
00
10
01
10
01
10
01
00
10
00
10
01
00
10
11
10
00
10
00
00
00
01
10
00
00
00
10
00
01
10
00
00
00
10
00
00
00
10
11
00
00
11
00
01
10
11
10
10
10
00
01
10
01
01
10
11
01
10
01
00
11
10
00
01
01
10
10
00
00
11
10
10
01
00
10
00
10
10
10
00
11
00
00
10
00
10
11
00
00
01
11
01
01
00
10
00
00
10
10
00
00
01
01
10
11
01
00
01
10
00
01
10
10
10
00
00
11
11
10
11
00
01
00
11
11
11
01
01
10
00
11
10
01
00
01
11
00
10
01
01
11
11
01
00
00
00
11
00
11
00
01
01
10
01
00
11
11
00
01
11
10
10
00
00
01
01
10
00
00
10
11
10
00
00
10
00
00
10
10
00
01
10
11
00
00
10
10
01
11
11
11
11
11
00
00
00
00
10
00
00
11
10
00
10
11
10
00
10
10
10
10
11
00
10
10
01
00
10
00
01
00
10
10
11
01
11
11
00
11
11
01
00
10
11
01
01
11
00
00
10
01
10
01
01
10
11
00
01
10
10
00
01
00
10
10
00
10
00
11
10
01
10
01
00
00
10
00
11
10
01
10
10
10
00
00
10
00
01
00
11
10
00
11
00
11
10
11
01
11
01
00
01
10
11
01
01
10
10
10
01
10
10
00
01
01
00
11
10
01
11
10
10
00
00
10
10
00
10
01
00
00
10
10
00
00
01
01
01
11
10
10
10
10
10
00
00
10
11
01
10
00
10
01
10
00
10
00
11
10
00
00
00
00
00
10
11
10
00
01
01
01
11
01
00
10
10
01
10
10
11
00
00
10
10
01
00
10
10
10
00
10
00
10
10
00
00
00
00
11
00
11
10
00
10
00
01
10
00
00
11
00
01
00
01
10
11
11
10
10
00
10
01
00
11
11
00
01
10
10
10
00
00
10
00
00
11
11
00
01
00
11
00
11
11
00
00
01
10
10
10
00
11
10
11
00
11
00
00
10
00
01
10
11
00
00
10
11
10
10
10
00
01
10
10
00
00
10
00
00
00
10
00
00
10
11
10
10
00
00
10
10
00
00
10
11
00
01
00
00
00
00
10
10
11
00
01
10
11
10
11
00
01
10
10
10
00
10
10
11
00
10
11
10
10
01
11
01
11
10
00
00
00
10
10
01
00
00
10
00
10
00
00
10
00
10
01
10
01
01
11
11
01
10
11
10
00
00
10
10
01
10
00
10
10
10
11
00
00
10
10
10
10
01
00
01
11
01
11
10
11
10
11
00
00
11
10
00
00
10
10
00
00
00
00
01
10
00
11
00
01
11
10
00
00
00
11
01
01
00
10
00
00
10
00
10
11
00
10
10
01
01
01
00
00
00
10
01
01
11
10
00
00
00
00
01
10
10
11
10
01
11
10
00
00
10
00
00
10
00
11
00
00
01
01
11
01
11
10
10
00
01
00
10
11
01
00
10
01
10
11
10
00
01
01
10
11
00
01
00
00
10
10
10
10
10
00
01
00
00
01
11
10
00
10
01
10
10
11
00
00
10
00
01
10
00
10
01
11
10
10
10
11
00
00
00
10
10
01
00
11
11
10
00
01
00
10
00
10
00
10
00
00
01
00
00
10
10
00
10
00
01
11
11
00
01
10
10
10
00
11
10
01
00
11
00
10
01
00
01
11
00
01
01
00
11
11
01
00
10
10
00
11
10
11
00
00
11
00
00
10
00
00
10
11
00
01
11
10
01
00
11
01
00
11
11
10
01
01
00
11
00
00
00
01
10
10
10
11
10
00
00
00
10
10
00
10
00
00
01
00
10
00
01
00
00
10
10
01
00
11
00
10
11
00
11
10
00
00
10
10
10
10
01
01
00
01
10
10
11
01
01
10
10
00
10
10
00
11
10
10
10
01
11
00
00
10
00
10
11
10
01
00
10
11
11
10
10
10
00
10
00
00
00
11
11
00
10
01
11
10
00
00
10
00
01
10
01
10
01
01
01
00
01
00
10
11
10
01
00
10
01
10
00
10
10
01
01
11
00
00
10
11
11
00
11
00
10
01
10
01
01
00
10
11
00
00
01
10
11
00
11
01
10
11
10
11
01
00
10
01
10
00
01
10
10
10
10
00
00
01
10
11
00
11
01
00
10
10
01
10
11
00
00
10
11
00
01
01
11
11
11
00
01
10
11
00
00
00
10
10
00
11
10
00
00
00
11
11
00
01
00
00
00
01
10
00
10
11
10
01
00
01
00
10
00
10
01
00
00
00
10
11
10
01
00
10
10
11
01
01
00
11
10
10
00
10
01
00
10
11
01
10
00
00
00
01
10
10
10
10
11
11
10
01
10
10
10
00
00
10
10
00
01
10
10
11
10
01
00
11
00
11
00
01
00
10
10
00
00
10
00
10
01
00
10
00
10
00
11
00
01
01
10
11
11
10
10
10
00
10
10
01
00
10
00
00
10
00
10
00
00
11
00
11
00
00
00
01
10
00
10
10
10
11
10
00
01
10
00
10
00
00
00
10
10
11
10
10
10
10
10
10
10
00
00
11
10
00
10
10
01
00
10
11
00
10
00
11
00
00
00
10
00
10
11
00
10
11
00
10
00
01
00
00
00
00
11
00
01
10
10
00
01
11
10
10
00
00
01
01
10
10
00
01
01
01
10
01
00
10
10
01
00
10
00
10
00
01
10
11
10
10
00
00
01
01
00
00
00
10
10
00
11
10
00
00
10
10
01
00
11
10
11
10
00
00
11
10
00
01
10
10
01
01
01
10
00
10
01
00
00
00
01
10
10
00
11
00
10
11
11
11
00
10
01
00
11
11
10
10
01
00
01
10
10
00
00
11
00
10
11
10
11
00
11
10
01
11
01
10
10
00
10
10
00
11
00
00
10
00
10
01
10
10
11
00
00
00
11
10
11
00
00
00
10
10
01
10
11
00
11
00
00
01
10
11
00
10
10
11
01
00
01
10
10
00
10
11
00
11
11
01
10
10
00
01
00
10
10
00
00
10
01
01
10
10
11
00
00
11
10
11
00
10
10
10
00
00
10
01
10
01
10
10
10
01
10
10
01
00
11
10
10
10
00
00
00
11
11
10
00
00
11
00
01
10
10
11
01
00
11
10
00
10
01
01
10
01
00
11
10
01
01
00
01
00
01
10
01
00
10
11
10
11
01
01
00
10
10
01
11
10
01
00
10
10
00
10
10
00
00
00
10
11
00
10
11
00
11
10
11
00
00
11
11
01
00
11
10
00
10
10
00
00
01
00
11
10
00
00
10
10
11
10
00
10
10
11
10
11
00
01
11
00
00
10
10
11
01
01
10
00
00
01
00
01
10
01
01
10
10
10
10
01
00
00
10
10
01
11
10
00
00
10
11
01
01
10
00
01
10
11
00
10
11
10
00
01
00
10
11
00
10
00
00
10
01
10
00
11
00
10
10
00
10
01
10
10
10
00
11
11
00
00
10
10
10
01
01
10
00
00
11
00
00
11
10
01
00
01
10
00
10
00
00
10
00
00
00
11
10
00
11
10
00
00
10
11
11
00
10
00
00
10
11
00
10
10
01
01
01
00
11
00
01
11
10
10
01
10
10
10
00
00
11
11
10
10
10
10
00
01
00
01
00
10
10
10
00
00
11
00
10
10
00
10
00
10
10
00
11
11
00
01
10
10
10
11
10
00
10
10
01
00
11
00
01
00
10
10
10
01
01
00
11
00
00
11
10
00
00
10
11
00
00
10
11
10
00
01
11
00
00
01
00
10
10
00
10
01
10
10
10
00
00
11
00
01
10
00
10
10
10
00
01
01
01
01
10
10
10
00
01
11
10
01
00
00
00
11
00
10
00
00
10
00
10
01
00
10
11
01
00
10
10
01
10
00
10
00
10
10
01
00
00
00
11
11
10
00
10
11
00
10
00
10
10
00
00
10
00
00
01
10
10
00
10
01
00
10
10
00
00
11
10
01
11
00
11
11
00
10
10
00
10
01
00
00
11
10
00
10
11
10
10
10
00
01
10
01
10
01
01
11
10
01
10
11
00
00
10
11
01
01
10
11
10
11
10
00
11
10
01
01
11
11
00
10
10
00
00
00
10
10
11
10
01
01
00
11
01
11
01
00
11
01
10
10
10
01
01
00
10
01
00
11
00
10
11
11
00
11
00
01
10
00
10
00
00
00
00
11
10
10
01
00
00
01
11
10
00
00
10
10
00
00
00
00
11
11
11
10
00
00
00
00
01
10
11
01
01
00
00
11
01
10
10
00
01
00
10
10
00
00
10
01
10
10
10
01
10
01
00
01
10
10
01
01
11
10
10
00
00
10
11
11
00
11
10
00
11
10
00
00
00
10
00
10
00
00
10
00
10
10
01
10
11
01
10
10
01
00
10
00
11
11
10
00
00
10
00
01
10
01
11
00
10
10
00
00
10
10
00
00
10
00
01
01
00
11
00
01
01
11
10
00
11
11
11
00
01
00
01
10
00
11
10
11
10
11
00
01
00
00
00
10
10
10
11
00
10
01
00
00
00
11
10
11
00
10
10
00
00
11
00
01
10
10
00
00
00
00
10
00
11
10
10
00
00
01
00
00
00
10
00
00
00
00
10
10
00
01
01
01
11
10
01
01
01
11
10
00
00
10
00
00
00
10
10
10
00
00
11
11
10
00
00
00
10
01
00
11
11
01
10
00
00
01
10
10
11
11
10
00
00
00
00
10
01
11
11
10
01
00
00
01
00
10
10
10
11
00
00
00
00
10
10
01
00
10
10
10
10
00
00
00
00
10
10
00
11
01
00
00
11
10
01
00
10
00
01
00
01
00
10
10
11
00
10
00
01
10
11
00
00
00
00
00
10
10
01
00
10
01
01
10
11
00
01
11
11
01
10
00
01
00
10
11
00
00
11
10
11
01
00
11
10
00
11
01
10
10
01
10
00
00
10
00
00
01
10
10
01
01
11
00
11
01
11
10
10
00
01
01
01
10
10
11
10
01
10
10
11
00
01
11
10
00
00
10
10
00
11
01
01
01
10
10
00
01
10
00
01
11
11
10
00
10
00
10
10
00
00
00
00
00
10
00
00
10
10
10
10
00
11
10
11
11
00
01
00
01
10
10
01
00
11
10
00
00
11
10
10
11
00
11
11
11
10
00
10
01
00
10
10
00
11
00
11
11
11
01
10
00
01
00
10
10
11
01
00
01
10
11
01
00
01
10
11
00
10
01
00
10
11
00
10
11
11
00
10
10
01
01
01
10
11
11
01
10
10
00
00
01
10
00
01
10
10
00
11
10
01
10
00
00
10
11
00
00
10
00
00
11
11
01
11
10
11
00
11
11
01
00
11
00
00
11
10
01
10
10
00
01
00
10
10
00
10
11
10
00
01
00
10
10
00
01
10
00
10
00
00
10
00
10
00
01
10
10
00
10
10
01
11
10
01
11
10
11
00
00
10
11
00
01
10
11
11
00
00
10
10
00
01
10
01
00
11
11
11
10
10
01
00
00
01
10
00
10
11
00
01
00
11
10
00
00
10
00
10
11
01
00
10
10
10
01
10
00
10
00
01
00
01
10
00
00
00
10
01
00
10
00
11
10
00
01
01
11
00
10
11
01
00
11
00
00
11
10
10
10
00
00
10
10
00
00
00
11
10
00
00
10
01
01
10
10
10
00
01
00
11
10
11
00
10
10
10
00
01
00
00
10
01
01
00
11
01
01
11
11
10
10
00
01
10
00
00
10
00
11
00
00
00
11
10
00
10
00
01
10
01
10
01
11
01
00
10
10
00
11
10
01
10
10
00
00
01
00
00
10
00
00
10
11
10
00
11
10
00
01
00
11
11
00
01
10
00
00
10
10
00
10
00
01
01
00
11
10
10
10
00
00
10
10
00
10
00
00
10
10
01
10
01
00
01
00
01
10
10
01
11
00
00
10
10
10
01
01
01
11
01
11
01
11
11
10
11
00
01
11
11
00
00
01
01
10
11
00
01
00
11
11
00
00
11
00
00
00
10
11
11
01
00
00
11
11
00
10
00
00
01
10
10
00
11
10
10
00
10
01
00
11
00
10
10
00
01
10
00
00
10
00
10
10
00
00
10
10
10
10
00
10
00
10
00
00
10
11
10
01
01
11
00
00
00
00
00
11
11
01
00
10
01
11
00
00
10
10
00
00
00
01
01
00
00
11
10
10
01
10
11
00
00
10
10
00
01
00
10
10
10
10
11
11
11
11
10
00
10
10
01
01
10
10
01
01
10
01
00
10
10
01
00
10
00
10
00
10
00
00
01
00
00
11
00
00
00
10
01
10
11
00
00
11
10
01
11
10
00
01
10
11
00
00
10
10
01
10
01
01
00
01
00
11
00
10
10
10
00
00
11
10
10
10
00
00
00
00
11
00
00
11
00
11
01
01
11
11
00
10
11
00
00
10
10
00
11
10
00
10
00
01
00
00
00
10
11
10
10
00
00
10
00
00
00
01
10
10
11
10
00
10
00
10
11
00
11
00
01
00
01
10
10
00
00
11
10
11
00
01
00
01
00
10
00
00
00
10
10
11
00
00
11
00
01
10
11
11
01
10
11
00
01
00
01
01
10
10
00
11
10
00
01
00
01
00
10
00
10
11
10
00
00
11
00
10
00
10
01
00
10
01
10
10
01
01
00
11
10
00
11
11
10
00
11
11
10
00
00
00
11
00
00
10
00
00
00
00
10
00
10
10
00
10
00
00
00
01
00
10
00
00
10
10
01
10
10
00
10
11
00
00
10
10
00
10
10
00
10
00
01
00
11
01
01
11
01
00
10
10
00
11
10
00
10
10
00
10
00
00
10
10
00
10
00
00
10
00
01
11
10
10
00
00
10
01
00
10
10
00
00
10
10
11
01
10
11
00
00
01
00
10
11
00
00
00
01
00
11
10
10
00
00
11
01
00
10
10
00
00
11
10
00
00
00
01
10
10
00
01
10
11
00
00
00
00
10
00
00
11
10
00
11
10
00
00
00
10
10
00
11
00
01
00
00
11
11
10
01
10
01
10
00
10
10
00
01
10
00
01
10
01
00
10
10
00
10
01
00
11
00
10
11
01
01
00
10
00
00
00
10
10
00
10
10
11
00
00
10
10
00
11
10
00
11
10
10
10
11
01
10
10
11
11
00
10
00
00
11
10
01
11
11
01
00
11
10
00
10
00
00
10
00
00
00
00
00
10
11
10
10
10
10
00
00
01
10
11
01
10
10
00
01
00
01
10
10
01
10
01
10
11
00
10
00
01
10
10
01
00
01
10
10
11
00
00
10
00
01
10
10
10
00
11
10
10
00
00
10
10
01
10
10
01
10
00
00
11
00
00
00
01
00
00
10
00
11
11
01
10
00
01
11
10
10
01
00
01
00
01
11
10
10
10
00
11
01
00
00
01
10
10
01
00
01
00
11
11
11
00
10
10
00
00
01
00
01
10
10
00
10
10
01
00
10
11
11
00
00
10
00
11
11
11
00
00
01
10
10
10
10
00
00
10
00
10
10
11
10
10
00
10
10
00
01
10
10
00
11
10
01
10
01
10
00
10
00
11
01
00
10
11
00
10
01
00
00
10
10
00
00
11
11
00
01
10
10
10
10
00
11
10
00
10
11
00
11
00
01
11
11
01
00
01
11
00
00
10
10
10
00
00
11
10
01
10
00
11
01
11
11
01
00
10
11
10
00
00
10
11
10
00
10
10
01
10
10
00
10
00
10
10
00
10
00
10
01
10
01
00
10
01
10
01
00
11
10
11
00
10
10
01
00
11
01
10
00
00
00
10
10
01
00
10
11
00
00
10
00
01
10
00
01
10
11
10
10
10
00
11
10
01
00
10
11
00
01
11
01
00
11
10
01
00
10
00
01
10
10
10
00
00
01
01
11
10
10
00
01
10
10
00
01
10
10
10
01
10
01
10
10
10
00
01
01
00
11
11
00
01
00
10
10
01
01
01
00
11
01
10
01
00
10
10
11
00
01
11
10
10
00
00
10
11
00
10
10
10
00
11
01
00
10
01
11
00
11
00
10
00
00
10
00
11
11
01
01
00
00
10
10
11
10
01
01
00
10
01
00
01
00
00
10
10
01
11
00
00
10
10
00
00
01
10
10
10
00
11
11
00
00
10
00
01
10
11
01
00
00
00
00
10
01
00
10
10
00
11
00
00
10
01
00
01
00
11
00
10
01
00
00
10
01
10
11
00
10
00
00
01
01
11
10
11
01
00
00
01
10
10
11
00
00
10
01
10
00
10
10
00
00
10
11
10
00
01
01
11
00
00
11
01
11
11
11
10
00
01
11
00
10
10
01
11
00
10
00
00
01
00
10
10
00
00
01
00
11
00
11
00
00
11
11
10
11
10
00
10
10
01
00
01
10
01
00
10
00
00
00
11
11
01
00
00
10
00
11
10
11
00
01
01
01
10
10
00
00
11
00
01
10
10
00
00
10
10
01
01
10
01
00
00
01
01
10
11
01
00
00
10
11
00
00
10
10
11
00
00
00
00
10
11
11
01
01
00
00
10
10
01
10
11
00
00
10
10
10
11
00
00
10
00
01
11
10
00
01
11
10
10
00
00
10
00
10
00
00
00
01
10
00
01
10
00
10
10
00
10
00
00
10
10
00
00
10
01
10
11
11
00
00
10
00
00
10
10
00
00
10
10
01
00
10
11
01
11
01
11
10
00
00
11
00
10
11
00
11
01
00
11
00
11
11
10
00
00
01
10
11
10
00
00
10
10
01
10
00
10
11
01
11
00
00
11
11
10
01
10
11
00
00
00
00
10
10
11
11
00
10
00
11
00
00
11
00
00
01
10
10
11
10
01
00
00
11
01
01
11
00
10
00
11
10
00
01
10
10
10
11
00
10
10
11
00
00
10
11
10
10
00
11
10
00
00
10
11
11
10
00
00
10
10
10
01
01
10
00
10
10
00
00
10
10
11
10
11
00
11
00
00
00
01
01
11
10
00
11
10
11
01
01
11
10
11
00
10
10
00
00
00
10
10
10
10
00
10
10
01
10
11
01
01
01
00
11
10
01
00
00
11
11
10
01
10
11
11
01
01
01
00
10
11
11
00
00
10
10
01
10
10
00
00
00
00
10
00
10
10
00
01
11
00
00
00
10
11
00
01
00
10
11
11
11
01
10
11
10
01
00
00
10
10
10
00
10
10
10
10
10
11
11
01
10
00
01
10
00
10
01
00
10
00
10
01
10
00
00
01
10
11
10
01
00
00
01
10
10
01
01
00
00
10
10
00
00
10
00
01
01
00
11
00
00
00
10
00
01
11
10
00
10
10
00
11
01
10
10
00
00
11
10
01
01
00
10
00
10
11
00
10
10
11
01
10
11
10
11
00
00
01
11
10
10
10
00
00
10
10
10
00
00
11
10
11
01
11
00
10
01
00
10
10
01
00
11
10
00
10
00
10
10
10
00
10
00
00
10
10
10
00
01
10
01
11
00
10
01
10
01
00
00
00
10
01
00
00
10
00
00
11
11
10
00
10
10
00
01
00
01
11
11
11
00
01
01
11
10
00
01
11
00
00
01
11
10
01
10
00
10
11
01
00
00
00
10
11
00
10
10
10
11
10
00
11
01
01
00
11
10
10
11
01
01
00
10
11
00
10
01
00
00
00
00
10
00
01
01
11
00
10
00
11
01
00
10
11
00
10
00
01
10
10
00
01
11
10
10
01
11
00
00
10
01
01
00
10
10
00
01
00
11
10
10
01
00
11
10
10
11
11
01
01
00
00
00
01
11
00
11
10
10
00
01
10
10
00
01
00
10
00
00
10
10
00
00
10
10
00
10
11
10
01
10
11
10
00
11
10
10
00
00
00
10
11
00
00
00
10
10
11
01
00
10
01
00
10
00
00
11
01
10
10
00
00
11
11
11
11
01
01
01
00
10
00
10
10
01
00
10
10
01
00
00
10
10
10
01
10
00
01
01
10
00
10
01
10
11
00
11
00
11
01
00
10
10
11
01
11
10
10
01
00
00
00
00
00
10
10
10
01
00
11
01
00
00
01
11
10
00
01
10
11
00
00
10
01
00
11
10
10
11
01
00
00
00
11
10
10
00
00
10
11
00
01
10
10
00
10
10
11
10
11
00
00
10
01
00
01
10
00
01
10
00
10
10
11
10
10
01
10
10
10
00
00
10
00
00
00
10
00
00
00
01
00
00
11
10
10
01
10
11
00
01
00
10
11
01
00
00
00
00
11
00
10
11
00
10
00
10
00
10
10
01
00
10
00
10
00
10
11
00
10
10
11
00
11
11
10
01
11
10
00
11
00
10
10
00
10
10
11
10
00
01
10
10
00
00
00
11
11
00
10
10
10
10
10
00
01
01
11
10
10
00
00
10
10
10
00
01
01
11
00
10
10
11
00
11
00
00
01
01
01
10
00
00
10
01
11
10
00
01
10
01
10
11
10
00
10
00
00
10
01
10
10
11
10
11
10
00
00
10
10
10
00
00
00
11
00
00
10
00
11
10
11
00
01
01
00
11
11
01
01
10
10
11
01
00
10
10
00
10
00
00
11
10
11
10
00
00
11
00
01
00
11
10
00
10
01
01
10
10
11
10
00
11
11
00
00
01
11
10
00
10
00
00
00
10
10
00
00
00
00
10
01
10
11
11
00
00
10
00
10
00
00
11
00
00
00
11
01
01
01
11
11
00
10
01
00
10
10
11
01
10
10
00
10
10
11
10
10
00
11
11
10
00
00
11
00
00
10
00
10
11
10
01
10
10
11
00
00
10
11
01
00
00
01
00
11
00
01
00
10
00
11
10
11
00
00
10
10
10
10
00
10
01
00
10
01
00
10
10
11
01
00
11
00
10
01
01
01
11
01
01
11
10
10
01
01
10
11
00
00
01
10
01
10
00
00
00
00
00
00
10
10
00
11
10
11
00
10
00
11
10
00
00
10
10
00
11
00
00
01
10
00
11
00
01
10
10
10
01
00
10
00
01
01
10
10
11
10
11
00
11
11
00
10
00
00
10
10
10
01
10
11
11
00
11
10
10
00
11
01
00
01
10
00
00
11
00
10
00
00
01
10
10
11
01
11
00
10
11
11
11
00
11
10
11
10
00
01
11
10
01
10
10
00
10
11
10
01
01
00
10
00
10
10
10
00
00
01
10
00
10
01
10
10
10
11
00
11
10
00
00
01
00
10
00
00
00
01
00
11
00
00
00
00
11
00
10
11
11
00
01
10
10
01
10
10
01
00
01
00
10
00
10
00
10
01
10
01
10
10
01
00
10
00
10
11
01
10
00
00
10
00
10
10
00
11
10
10
01
10
11
01
01
00
10
10
00
11
11
10
11
10
00
10
10
10
01
00
10
11
10
11
01
11
11
00
00
00
10
10
00
00
11
11
01
11
11
01
10
10
00
00
10
10
01
01
01
00
10
00
00
10
10
01
10
00
10
00
01
00
00
01
10
10
00
10
00
00
11
10
00
01
01
01
10
10
00
00
10
10
00
01
10
01
10
10
10
00
10
10
10
01
00
10
00
10
01
10
01
00
01
11
10
10
00
00
01
00
10
10
10
00
00
10
11
10
11
11
10
10
00
00
10
10
01
10
10
11
11
10
10
00
01
00
01
10
11
00
10
00
00
00
10
00
11
01
01
11
00
00
11
00
01
00
00
10
10
00
11
10
00
00
10
10
00
01
10
00
00
10
01
10
10
00
00
10
10
10
10
10
10
00
00
10
11
00
00
11
10
00
11
10
11
00
11
01
10
00
10
00
01
10
11
01
00
00
11
11
00
10
10
10
00
00
01
11
00
10
00
00
11
10
00
00
10
01
10
11
11
00
01
10
11
00
11
11
11
01
01
11
00
10
10
01
00
10
11
00
01
10
00
00
00
00
10
10
01
01
11
10
11
10
10
10
01
00
01
10
11
00
11
10
00
01
10
11
01
10
10
10
01
10
01
00
10
10
01
10
00
00
10
10
10
10
11
10
10
00
00
00
00
11
11
00
00
00
00
10
00
01
10
01
11
10
00
11
00
10
00
01
10
10
10
01
10
11
10
00
10
10
10
10
00
00
00
10
00
10
10
10
10
11
00
01
11
00
10
10
11
00
01
10
10
00
01
10
00
10
10
01
10
00
01
10
10
00
00
11
11
00
00
00
11
11
10
00
00
01
00
01
10
10
00
11
00
01
01
10
11
00
10
00
10
11
10
10
00
01
10
10
10
00
01
10
10
10
10
11
00
10
00
00
00
00
11
11
00
00
01
00
00
10
00
01
10
10
00
11
10
11
10
00
10
11
00
00
11
00
10
01
10
10
00
00
11
00
11
10
10
00
11
00
00
10
10
10
10
10
00
00
01
00
11
00
00
10
10
11
01
00
11
11
00
01
11
10
10
11
01
01
11
10
00
00
00
10
01
00
10
10
10
01
10
01
00
11
10
10
01
01
00
10
00
01
10
11
00
11
10
00
11
01
11
11
00
10
11
11
00
10
10
00
01
10
10
11
01
00
11
11
00
00
10
10
00
10
10
00
10
10
01
00
00
00
10
11
11
01
10
10
10
00
11
10
11
00
00
00
00
00
01
01
10
00
10
10
01
10
00
11
11
01
00
11
00
01
10
10
11
00
00
11
10
10
01
11
10
01
00
11
11
00
00
00
00
10
10
00
10
00
10
10
10
00
00
10
10
01
10
00
10
10
10
00
00
10
00
10
11
00
11
00
10
00
10
11
01
10
11
00
10
10
10
00
00
10
10
10
01
10
01
01
00
11
10
11
11
10
01
01
11
01
00
11
10
10
01
10
10
11
00
01
01
10
11
10
11
00
00
10
00
00
10
01
11
01
00
11
11
00
11
00
00
00
00
10
10
00
01
01
10
10
01
11
10
00
01
00
11
00
10
10
00
00
10
00
00
11
00
10
00
10
11
11
00
00
10
10
00
00
10
00
01
00
11
10
10
11
01
01
00
00
10
00
10
00
00
00
10
10
11
10
10
00
00
10
00
10
11
00
00
10
00
10
00
01
00
10
10
01
11
01
01
00
00
10
10
00
10
10
00
10
00
00
00
00
00
10
11
01
01
10
11
10
00
00
01
10
10
10
10
00
00
00
01
10
01
01
01
01
10
00
01
00
10
00
00
01
10
00
10
10
10
00
01
11
00
10
10
10
01
10
00
00
10
00
01
11
11
00
10
00
11
00
10
00
00
10
10
00
10
00
10
10
01
11
11
11
01
01
00
10
11
11
00
01
11
10
01
01
10
00
11
00
00
11
10
11
00
00
10
10
10
10
00
00
10
00
01
01
10
01
11
00
11
00
11
10
10
01
00
10
11
00
00
00
00
01
11
10
00
10
00
11
10
10
10
01
01
00
00
00
10
00
00
10
10
00
01
00
01
00
01
01
10
10
01
10
00
01
10
10
00
10
10
01
00
00
00
10
10
10
10
01
10
11
10
01
10
10
00
00
01
10
11
01
11
10
01
00
10
11
01
10
00
11
11
11
00
00
10
11
11
00
10
10
10
01
01
01
00
10
11
11
00
00
11
10
00
00
00
11
10
00
10
00
10
10
11
00
00
10
00
01
00
10
00
00
10
00
11
00
11
11
10
11
10
11
01
11
10
01
01
10
01
11
11
01
01
10
01
10
10
01
01
10
10
00
00
00
10
10
00
01
01
11
10
11
00
10
00
00
11
10
00
00
10
10
11
10
10
01
00
00
11
00
10
01
01
11
10
01
00
10
00
10
10
10
01
00
00
10
10
10
11
10
11
00
10
10
10
00
10
11
01
00
00
01
00
01
10
10
00
10
10
00
10
10
10
00
10
00
00
00
10
10
10
10
00
01
00
00
10
10
11
00
00
10
10
00
11
00
01
01
00
01
11
10
01
10
10
00
00
00
01
10
01
10
11
10
00
00
11
01
01
10
10
00
00
01
10
00
00
10
10
10
01
00
01
01
00
10
01
11
00
00
11
10
10
11
10
00
11
10
00
00
10
11
00
01
11
10
00
00
01
01
11
11
00
00
10
00
00
11
11
01
01
10
10
10
01
00
10
10
01
10
00
00
10
10
00
00
10
01
00
10
10
10
10
01
00
01
00
10
11
01
10
11
10
00
00
10
10
10
10
00
00
10
11
01
01
10
00
00
00
00
00
10
11
11
10
10
01
00
11
10
11
10
00
11
00
10
10
00
00
11
11
00
00
10
11
01
01
11
10
01
00
00
01
10
00
00
00
11
10
00
10
10
11
11
11
00
00
11
10
11
00
10
10
11
00
00
00
10
01
10
11
00
01
10
10
01
10
11
11
11
01
00
10
00
11
11
01
00
11
10
00
01
11
01
01
10
11
00
10
00
10
00
11
01
01
00
10
11
00
10
10
01
00
00
10
10
11
00
00
00
00
01
00
00
11
00
00
00
11
10
00
00
01
10
00
00
11
00
00
00
00
10
10
00
00
00
10
10
00
00
00
10
00
00
11
00
10
10
10
10
00
10
01
10
11
00
11
00
10
00
01
10
00
00
10
10
01
10
11
10
10
10
10
10
00
01
10
11
00
10
00
00
10
11
11
00
01
10
11
10
01
11
11
01
00
10
00
11
00
00
11
10
00
11
01
01
00
00
00
10
00
10
10
10
01
00
11
10
00
00
00
10
10
00
10
00
00
10
10
10
00
11
10
10
10
00
11
10
00
00
00
01
00
11
11
00
00
10
10
11
00
00
01
11
10
10
01
11
11
11
10
00
00
01
01
10
11
10
00
00
10
01
00
11
11
00
00
00
11
00
01
11
00
01
11
10
00
00
10
10
10
11
10
11
11
00
11
10
00
01
01
10
01
11
10
00
01
00
10
00
00
10
11
01
10
00
10
10
01
00
00
10
01
10
11
10
00
10
10
01
01
10
11
00
01
11
11
00
10
10
00
01
00
00
10
00
10
00
00
10
00
10
10
11
10
11
11
00
10
00
11
01
00
10
01
10
11
00
10
10
11
11
00
01
11
11
10
00
01
10
11
00
10
00
00
10
10
10
01
00
01
10
10
10
00
00
01
10
10
01
01
10
00
10
00
10
00
10
00
10
01
10
01
10
01
10
10
00
11
00
00
00
10
10
01
10
01
00
11
10
01
10
11
10
10
00
01
10
10
10
00
00
00
00
10
10
00
01
10
00
00
00
01
10
10
10
10
10
00
00
01
01
00
10
00
10
01
10
11
00
00
00
00
10
00
11
10
01
00
10
10
01
00
10
01
01
11
11
01
00
10
01
00
00
11
10
00
10
01
10
00
00
10
00
10
00
00
00
01
10
00
01
10
01
01
00
00
10
10
10
11
01
00
01
10
01
01
10
00
00
01
10
00
00
11
01
11
00
11
00
01
10
01
00
00
11
11
10
00
01
10
11
10
10
00
10
11
01
10
10
11
10
01
00
10
00
10
01
11
10
00
01
10
01
11
11
11
00
00
01
11
00
00
10
10
00
00
11
00
10
11
10
00
11
10
00
10
00
00
00
01
00
10
00
10
10
01
10
10
10
00
00
10
10
01
00
10
10
11
00
11
00
10
11
10
01
10
10
01
00
00
11
10
00
00
10
10
10
01
10
00
10
10
11
11
00
01
10
01
10
11
00
00
10
11
10
10
00
01
00
10
10
10
00
10
10
00
00
11
10
10
10
10
01
11
00
01
00
10
10
01
00
10
11
10
01
01
10
10
10
10
00
11
10
01
00
11
10
00
10
10
01
01
10
10
00
10
00
10
10
00
01
10
00
00
00
10
10
00
10
10
00
00
11
10
01
00
01
10
11
11
00
00
10
10
00
00
10
00
01
00
11
00
00
00
00
11
10
10
01
00
10
00
00
01
00
00
11
10
00
11
00
01
10
10
01
00
10
01
10
00
11
10
00
00
10
10
10
00
01
10
00
10
11
10
10
00
11
10
10
11
01
11
10
01
00
11
11
00
11
10
10
00
00
10
11
10
00
00
10
00
10
10
10
10
11
00
00
00
11
00
01
11
11
01
10
11
01
00
00
00
10
11
01
00
00
11
01
10
10
00
10
01
00
11
11
10
10
00
00
00
10
11
00
00
11
10
10
10
00
01
11
10
01
00
10
11
10
01
10
11
00
11
11
00
01
10
00
11
00
00
11
01
11
00
10
11
00
01
00
00
10
11
00
01
10
00
10
10
00
10
01
00
01
00
00
11
10
10
00
11
10
00
11
00
01
10
01
01
00
00
10
11
10
01
01
01
00
11
11
10
01
00
00
00
00
10
10
01
00
11
01
00
11
01
01
11
10
00
11
00
00
10
11
10
00
00
10
00
11
10
00
01
00
10
11
00
11
10
01
00
00
10
11
00
11
10
00
10
11
10
00
00
10
11
01
01
10
01
00
10
00
11
10
10
00
00
00
01
10
10
10
10
00
10
10
00
10
10
00
00
11
10
00
10
01
10
00
11
10
01
11
10
01
00
00
10
00
00
10
00
00
00
00
10
10
11
00
00
00
10
10
10
10
00
10
00
10
11
01
01
01
01
11
00
01
11
11
00
01
01
01
11
11
00
01
00
01
10
00
00
11
01
01
10
11
10
01
10
00
10
11
10
00
11
00
00
10
00
10
00
00
10
11
01
11
01
10
00
11
10
00
01
11
10
00
01
11
10
10
10
01
00
10
10
10
00
11
01
00
01
10
00
00
10
11
00
00
00
01
00
00
00
10
00
10
00
00
11
00
11
00
10
10
10
00
01
10
01
10
00
01
11
11
11
11
01
10
00
11
00
10
10
00
00
11
10
11
10
01
00
10
01
00
00
00
11
10
10
11
10
10
10
10
00
10
11
10
01
00
00
00
10
00
11
10
10
00
10
10
10
01
11
10
00
10
10
01
00
10
00
00
11
01
10
10
01
00
10
11
10
01
00
10
00
00
01
10
11
00
01
11
10
00
10
00
00
11
11
10
01
00
11
10
10
01
00
00
10
11
00
00
10
11
01
01
10
11
10
01
00
00
00
10
11
00
00
11
10
11
10
10
00
00
10
00
00
10
11
01
10
00
11
00
10
10
11
10
00
11
10
01
01
00
01
00
11
00
11
10
10
00
01
01
01
00
10
11
01
00
10
10
10
11
01
01
01
10
10
00
11
00
10
10
00
10
11
11
00
00
00
00
11
00
11
00
01
10
01
10
01
10
10
01
01
00
11
10
00
00
00
00
10
10
00
10
10
10
00
10
01
10
10
11
10
10
10
10
01
01
11
01
00
11
01
01
00
10
10
00
00
00
10
10
00
11
01
00
11
10
10
01
10
01
10
10
00
00
01
10
11
00
00
00
10
10
11
10
00
01
01
01
01
11
10
10
01
10
00
00
10
10
00
10
00
00
11
11
10
00
01
10
10
01
00
11
10
01
00
10
00
00
10
00
10
11
00
00
01
00
10
10
10
01
10
01
00
10
00
00
01
01
11
11
10
01
00
11
11
00
00
10
10
00
10
00
00
00
00
00
10
01
10
01
10
00
00
10
00
00
00
10
10
01
00
10
01
01
00
10
10
10
00
00
01
10
10
10
00
00
00
10
00
10
11
11
00
00
01
11
10
10
10
10
00
01
00
10
00
10
00
01
11
00
00
00
01
00
10
01
00
11
00
10
00
00
11
11
10
00
01
10
11
01
10
00
01
00
11
01
01
00
11
11
00
10
11
10
10
11
00
00
00
11
11
00
00
00
10
00
10
01
11
10
01
10
10
10
10
10
00
00
10
00
01
00
10
10
00
11
10
11
00
01
10
01
10
10
10
00
01
11
11
00
10
10
00
00
01
10
00
10
01
00
10
11
10
00
10
01
01
00
00
10
00
00
00
10
10
10
00
00
00
00
10
10
00
10
10
00
00
10
00
00
00
11
11
00
00
00
11
01
01
10
11
01
11
10
01
01
10
01
00
10
10
11
00
00
11
00
00
10
10
10
11
11
00
11
10
01
11
00
11
11
01
00
10
00
00
10
11
11
00
11
11
00
00
00
00
11
10
01
00
01
11
01
01
01
10
10
00
00
10
11
00
10
10
00
01
01
01
00
00
01
00
10
11
00
01
10
00
10
11
01
10
00
01
10
10
00
11
11
10
01
00
10
00
00
00
00
11
10
10
01
11
01
10
11
01
01
10
00
00
11
10
01
01
11
10
01
00
11
10
00
00
00
00
10
10
10
10
00
00
10
00
00
00
11
00
00
10
10
00
10
00
01
00
00
00
00
10
01
00
11
10
10
11
00
10
01
01
11
00
10
10
11
00
01
01
10
11
01
00
10
00
10
00
01
00
10
11
01
00
00
01
00
10
10
01
10
01
00
11
00
11
01
11
00
01
11
10
00
00
01
10
00
01
10
11
10
01
10
11
10
10
10
00
10
10
00
00
11
00
00
00
01
00
01
10
11
11
10
01
01
00
00
01
10
10
00
00
10
00
01
10
00
01
00
00
01
10
00
10
10
00
00
10
10
10
01
01
11
00
10
10
10
10
00
10
10
01
00
10
10
00
11
00
00
10
00
01
01
01
11
01
10
01
11
00
00
10
01
10
10
00
01
11
00
00
00
10
11
01
01
10
11
01
01
00
11
10
01
00
10
11
00
00
00
00
10
01
01
11
00
10
01
10
10
01
10
10
00
00
10
00
00
01
00
11
11
10
11
00
00
00
10
10
10
11
00
00
00
11
10
00
10
01
00
10
01
01
00
01
01
11
10
10
00
10
10
00
11
11
11
10
10
00
00
11
10
01
11
10
11
00
10
11
00
11
11
00
00
01
11
10
00
00
00
01
00
01
10
01
10
00
00
10
10
00
00
11
00
00
10
10
11
01
00
11
10
00
10
10
10
00
01
11
10
01
11
10
10
01
10
01
10
11
00
00
10
00
10
00
00
00
10
10
00
10
10
11
11
11
11
10
01
00
11
00
00
10
10
10
01
11
10
11
00
10
01
01
01
00
10
10
10
00
10
10
00
00
01
00
10
11
11
10
01
00
11
10
00
11
10
01
00
00
10
10
00
00
11
01
10
11
00
11
00
00
10
01
00
10
01
00
00
01
11
11
00
01
10
00
00
01
10
11
00
10
10
00
10
11
10
00
01
10
11
00
00
10
01
00
11
10
00
10
10
00
11
00
00
10
00
01
10
11
00
11
00
00
01
10
10
00
10
10
00
11
10
00
11
01
00
10
11
11
10
00
01
10
10
10
11
01
00
00
11
10
10
01
00
00
10
00
00
10
01
00
00
01
10
00
00
00
10
10
10
01
01
00
10
11
00
10
10
10
01
00
01
10
10
00
10
10
10
00
00
11
01
10
11
10
00
00
01
10
10
00
01
00
11
00
11
11
01
11
00
10
00
10
01
00
10
11
10
10
01
10
00
00
10
00
00
10
10
10
10
11
00
01
00
10
00
10
10
01
11
10
10
10
10
01
01
01
10
01
01
11
10
10
10
10
00
00
00
10
10
10
00
00
00
01
00
01
00
00
00
01
10
10
00
00
10
00
10
01
00
00
00
00
01
10
01
11
10
00
10
10
10
00
00
10
10
01
10
01
00
11
01
00
01
11
00
01
10
11
00
01
10
10
00
00
10
11
11
01
00
01
10
00
01
10
00
10
00
01
01
11
10
00
00
10
01
10
00
10
10
01
00
11
10
10
00
11
01
00
10
10
00
00
10
11
10
00
00
00
01
00
00
00
00
00
01
00
10
00
00
11
10
11
00
11
00
00
01
11
11
10
10
00
10
10
00
01
00
00
11
10
01
01
10
10
10
00
10
11
01
01
10
10
01
01
01
11
00
00
01
10
00
10
00
01
11
11
01
01
10
10
00
11
11
00
10
10
00
01
00
00
10
11
00
11
10
00
00
10
00
11
00
01
10
11
00
00
11
10
00
00
10
01
00
00
11
11
00
10
11
10
01
10
10
01
00
00
10
00
00
10
11
10
10
10
10
00
11
00
11
00
00
00
01
10
00
10
10
11
00
01
10
01
00
10
10
10
00
00
01
10
10
00
00
11
10
00
10
01
00
00
10
10
10
01
10
10
00
10
00
01
00
01
00
01
00
01
11
11
00
11
10
01
11
10
00
00
10
10
10
00
10
10
10
00
10
10
10
01
11
01
10
10
00
01
01
01
11
11
10
01
11
10
00
00
10
10
00
01
10
10
10
00
11
10
11
00
00
00
00
10
11
10
00
00
10
10
10
10
00
00
00
10
00
01
00
00
10
01
00
01
00
11
00
00
10
11
11
00
10
00
11
10
10
00
00
10
11
10
00
10
11
10
00
11
10
10
00
01
00
11
11
00
01
10
10
01
00
10
10
00
00
10
10
00
00
10
10
11
00
00
11
10
00
10
11
10
10
10
00
10
01
10
11
10
11
00
00
00
01
00
10
10
00
00
11
10
01
00
10
00
10
10
10
10
01
00
11
10
10
11
10
11
10
00
00
10
00
10
00
00
01
10
00
00
10
00
01
01
00
10
10
00
10
11
00
10
10
00
00
10
10
00
10
10
01
11
10
11
00
11
10
00
01
00
01
10
11
01
10
11
00
01
11
10
10
00
00
10
00
01
00
00
01
11
00
00
00
00
00
11
10
00
00
10
10
10
00
11
10
00
11
10
10
10
11
10
11
00
00
10
00
01
01
00
11
01
10
11
01
00
10
00
10
11
10
00
01
00
10
01
11
10
10
10
01
01
11
01
11
10
11
10
10
11
11
00
10
10
00
10
10
10
01
00
10
01
00
11
11
11
10
01
00
01
10
00
00
00
00
10
10
00
10
10
01
00
00
00
10
00
10
11
01
10
10
01
10
10
11
00
01
10
11
00
10
00
10
01
10
10
10
10
00
00
10
10
01
11
11
10
00
10
00
00
11
00
01
01
00
10
10
10
11
11
00
00
10
10
11
00
00
11
00
10
11
00
11
10
01
01
00
11
10
10
11
01
01
11
01
00
00
10
10
11
01
00
10
00
10
01
01
01
11
10
00
10
10
01
11
10
00
00
00
10
10
00
00
11
01
00
10
10
01
00
10
10
10
10
00
00
00
10
00
00
00
00
10
10
10
11
10
01
11
10
00
00
01
01
11
10
00
10
11
00
00
00
00
10
11
10
11
01
01
01
10
01
10
11
01
10
10
00
00
10
01
01
01
10
11
11
10
10
00
10
10
10
01
00
00
11
10
11
00
10
00
00
01
00
00
11
01
10
11
11
00
11
11
11
10
00
00
00
10
10
00
00
10
11
10
10
10
00
00
00
10
10
00
00
10
10
10
01
11
00
10
00
10
01
00
10
11
01
00
10
00
11
10
10
00
01
11
10
10
10
00
00
01
01
01
01
11
10
01
00
10
10
10
00
00
00
10
01
01
11
11
00
00
11
10
00
00
10
00
00
00
00
10
01
10
11
11
11
00
10
00
00
00
10
10
00
10
10
01
10
10
00
10
10
10
01
00
10
10
11
11
11
00
10
00
00
10
00
10
11
01
01
10
00
10
10
11
11
00
10
00
11
10
11
00
11
00
00
10
11
10
10
10
00
10
10
10
11
10
11
01
00
00
00
01
00
00
10
10
10
00
01
00
01
10
11
00
11
01
01
10
10
00
00
11
01
10
10
00
01
00
11
01
10
11
10
10
11
10
01
10
10
00
01
00
00
10
11
10
10
10
01
11
00
01
10
10
10
11
01
01
00
11
11
11
10
01
10
10
11
00
01
11
01
11
10
10
00
00
01
11
10
01
11
11
11
10
10
01
10
00
11
11
00
00
10
10
10
01
00
10
10
01
11
01
00
00
11
10
00
00
10
11
10
10
00
00
11
00
10
00
10
11
11
11
10
00
00
10
00
11
00
11
10
10
00
10
10
00
00
10
10
01
10
00
10
11
10
10
10
01
10
11
11
01
01
01
00
11
11
10
10
00
00
00
11
10
11
01
00
00
11
10
10
00
00
11
00
00
11
00
01
01
01
10
11
01
00
01
10
00
10
00
00
11
10
00
10
11
01
10
00
00
10
11
11
10
01
10
10
00
11
01
10
00
00
01
00
10
00
00
10
11
10
11
00
00
00
10
10
10
10
00
00
11
01
10
00
00
00
11
01
00
10
00
00
10
10
11
01
01
11
10
10
10
00
00
00
10
01
10
10
00
00
11
11
00
10
10
00
00
10
11
00
00
10
11
00
11
00
10
00
00
00
11
00
00
00
00
10
01
11
11
10
00
10
10
01
11
10
00
00
11
00
00
10
00
10
10
10
00
01
11
11
10
00
01
10
11
10
00
01
10
11
10
11
10
11
00
01
00
00
10
10
10
00
01
10
00
00
10
10
01
10
01
10
10
10
10
01
01
10
10
10
01
00
00
10
10
11
00
00
00
00
11
10
11
11
00
10
00
01
11
01
00
00
11
01
00
11
00
11
11
01
10
01
11
01
11
10
01
10
01
01
00
11
10
00
00
00
11
10
00
01
11
00
00
10
11
11
00
01
00
00
01
01
10
11
10
00
10
10
00
00
00
10
10
10
10
10
11
10
00
10
11
01
00
11
10
00
10
10
00
11
10
00
11
00
00
01
10
00
00
00
10
10
10
10
10
10
00
10
00
10
11
01
00
01
11
00
10
00
01
10
11
00
10
00
00
00
10
10
01
01
11
01
10
11
10
11
00
11
00
01
10
11
10
00
11
10
11
01
00
00
10
11
00
01
10
10
01
00
10
00
01
11
11
01
01
00
10
11
00
00
10
11
01
01
00
00
00
10
10
01
10
10
00
11
10
10
00
10
01
00
11
00
10
10
01
00
11
10
01
00
01
01
10
10
00
10
10
10
11
00
10
01
01
01
01
10
01
10
10
00
00
10
10
00
00
10
01
10
10
00
00
11
10
10
11
10
00
10
01
00
10
10
10
00
01
00
10
00
00
11
10
00
00
10
10
11
11
10
01
10
00
10
10
00
00
00
10
11
11
10
00
10
00
11
00
01
10
11
00
10
10
11
00
00
00
10
01
10
10
00
11
00
11
11
00
11
11
10
01
10
11
10
01
00
11
00
00
11
10
11
10
00
11
01
11
00
00
10
11
00
11
01
00
10
10
11
10
00
00
11
00
10
10
00
10
10
00
10
00
00
10
10
00
10
00
00
10
10
00
10
10
00
01
10
10
10
00
00
00
00
11
00
00
10
11
00
10
00
11
00
11
00
01
01
11
11
01
01
10
11
00
10
10
01
00
11
10
00
10
01
10
00
10
11
01
00
11
01
10
01
10
10
00
11
10
01
01
10
11
10
10
00
01
10
00
00
00
11
00
01
11
11
10
00
01
00
10
00
00
10
11
00
00
00
00
10
11
01
11
11
00
00
11
11
00
01
10
10
01
10
10
00
10
11
00
11
00
10
01
00
00
10
01
00
01
10
01
11
10
10
01
00
01
10
00
00
11
10
00
00
10
11
00
00
00
00
11
00
11
00
10
10
00
11
00
00
10
10
11
00
11
10
11
01
10
01
11
10
00
10
11
11
00
00
10
10
11
00
00
00
00
00
10
10
01
10
10
10
00
00
00
00
10
10
10
00
11
11
00
00
10
00
01
01
11
00
00
10
10
10
00
10
00
01
10
00
10
01
01
00
00
10
01
00
01
01
11
10
10
00
10
00
00
10
11
01
10
01
01
00
01
10
00
01
10
11
11
10
10
00
00
10
00
01
00
10
10
10
11
00
00
10
10
10
01
10
00
11
00
00
00
10
11
00
01
00
01
00
00
10
10
11
00
10
10
00
10
00
01
00
10
11
10
10
11
01
10
00
00
00
10
10
00
00
11
10
11
01
10
10
10
11
00
11
10
01
00
10
11
11
00
00
00
10
00
11
00
10
00
10
01
01
10
10
10
00
11
01
11
10
11
10
00
00
00
11
10
01
10
00
00
10
10
00
01
10
00
00
00
11
00
00
10
11
11
11
01
00
11
11
00
10
10
00
00
11
11
00
10
00
00
10
00
11
11
10
00
10
10
11
10
01
01
00
10
10
10
01
01
10
00
00
10
11
01
10
00
00
10
00
00
10
01
00
11
10
00
01
00
00
11
01
01
00
00
10
11
11
00
00
10
00
01
00
11
00
01
11
01
00
10
01
00
11
00
11
11
11
01
11
10
00
00
10
00
00
01
10
10
01
10
10
00
11
10
11
00
10
10
11
00
11
10
11
00
00
00
01
10
10
01
01
00
00
11
10
01
00
11
00
00
10
00
00
10
10
01
01
10
00
00
00
00
10
00
01
00
01
01
10
01
01
00
10
10
10
00
00
10
01
10
10
10
00
10
11
01
10
00
10
00
10
01
00
10
10
00
10
10
00
00
00
10
00
11
00
00
11
10
10
01
00
00
01
01
00
00
00
10
10
00
00
00
10
10
10
00
01
10
01
11
01
11
10
10
01
00
10
10
00
00
00
11
10
00
01
01
00
00
10
10
11
00
10
01
11
10
10
11
11
01
10
11
10
00
00
10
00
00
01
11
10
00
00
10
10
01
00
01
11
10
00
11
10
00
01
10
01
00
00
01
11
10
01
11
10
10
00
11
10
00
01
10
10
11
10
10
01
00
11
00
00
11
10
00
00
00
00
01
10
10
00
00
10
10
00
11
10
11
11
10
01
10
00
10
01
00
00
10
11
01
10
11
10
11
00
10
01
00
10
10
01
00
00
11
01
10
01
10
11
10
11
00
01
01
10
00
00
00
11
10
01
10
01
10
10
11
01
10
11
00
10
00
00
00
10
00
00
00
10
10
00
10
01
11
10
00
00
01
11
00
10
01
00
10
00
11
10
00
00
11
10
00
00
11
10
00
10
01
11
11
01
00
00
01
00
10
10
10
00
10
00
10
00
01
11
10
11
11
10
00
00
01
11
01
01
01
00
11
01
10
10
10
00
00
00
01
10
11
11
10
01
01
00
11
11
00
10
11
00
00
11
10
00
00
00
10
01
00
10
01
10
01
01
00
11
00
00
10
00
00
01
10
11
10
00
00
10
11
10
01
00
11
00
10
00
01
11
10
11
01
01
10
01
00
10
10
01
10
10
00
00
10
01
10
01
00
01
10
00
10
11
10
00
11
10
11
00
10
00
10
10
01
01
10
11
01
10
00
10
01
00
01
11
10
00
01
00
11
11
00
00
00
01
11
00
01
10
01
11
10
00
10
00
00
10
10
00
00
10
00
00
10
10
00
00
00
10
10
10
10
00
11
10
11
11
10
10
11
00
00
10
10
00
00
00
10
10
00
11
10
10
00
00
00
00
00
10
00
10
10
01
00
10
10
10
10
00
11
00
11
10
00
00
00
00
11
00
00
00
10
10
00
01
10
00
10
01
10
10
00
10
11
00
11
10
00
00
00
00
00
01
10
10
10
00
10
11
10
00
10
01
10
10
11
01
00
11
10
10
00
00
00
10
01
01
00
10
10
10
10
01
00
10
00
00
00
10
01
00
00
10
11
00
00
01
11
10
11
00
00
00
10
11
10
00
01
10
00
00
10
01
01
00
10
00
01
00
10
10
11
00
00
00
10
10
00
01
01
00
11
10
10
10
10
11
00
01
10
01
00
10
00
00
10
10
00
11
11
11
00
10
00
10
01
00
10
00
01
00
00
00
10
01
00
10
11
01
00
10
10
01
10
10
01
10
00
10
00
00
10
01
10
10
01
11
00
11
00
10
10
00
00
10
10
01
01
10
10
00
00
00
11
01
01
10
11
11
01
01
00
00
10
10
00
10
10
00
10
01
00
01
10
10
00
10
10
01
10
01
10
11
01
00
10
10
00
01
10
10
00
10
10
01
01
10
11
10
10
10
10
00
00
00
10
10
00
10
01
10
00
10
00
00
00
10
10
10
00
10
01
11
10
00
10
11
10
10
00
01
00
01
00
00
00
00
10
10
10
00
10
10
00
11
01
01
11
00
10
10
00
00
01
11
10
10
10
01
10
01
00
11
00
10
01
11
11
00
01
01
01
10
10
00
00
10
10
00
00
10
10
00
01
11
00
00
00
10
11
00
00
00
10
11
11
11
10
00
00
10
11
00
10
11
00
01
01
10
00
00
10
10
01
00
00
10
10
10
11
00
00
00
00
01
01
01
10
10
10
01
10
10
00
01
01
10
10
00
10
01
00
11
10
00
11
10
11
10
11
00
00
10
01
01
00
11
11
00
00
11
00
00
11
00
10
00
10
10
01
00
00
00
11
10
10
10
10
00
10
01
11
10
11
00
10
11
00
00
10
10
00
00
11
10
00
00
10
11
10
10
10
00
00
01
00
00
01
11
00
10
10
10
10
00
00
00
10
11
01
10
11
10
01
00
10
10
01
10
10
01
01
00
10
10
10
01
11
10
01
01
11
10
10
00
00
00
10
10
00
00
01
11
10
10
10
01
10
00
00
00
01
10
10
11
00
11
10
01
00
10
01
10
10
00
00
01
11
10
10
00
00
00
00
01
10
01
10
11
11
10
00
01
00
10
11
00
01
11
00
10
10
11
00
00
00
00
00
10
10
01
10
00
10
10
10
00
10
01
01
01
00
00
10
10
00
10
10
00
10
00
00
10
00
10
11
01
11
00
00
10
11
00
00
10
11
01
00
10
11
00
10
10
00
00
10
10
00
11
10
10
00
10
10
11
00
00
10
00
00
11
10
00
01
11
00
01
01
10
10
00
01
10
00
11
01
11
11
00
10
11
10
01
00
10
11
11
01
11
00
00
11
11
01
00
10
11
01
10
00
11
11
00
10
10
10
00
01
11
00
01
10
01
11
10
10
00
00
01
10
10
10
10
01
11
00
00
10
11
01
00
00
00
11
00
10
10
10
10
00
10
10
10
10
00
11
01
10
10
10
00
10
00
11
10
10
00
01
10
11
00
01
01
10
00
10
01
01
10
10
01
00
11
10
11
01
10
10
11
10
10
10
00
00
00
01
10
01
11
00
01
11
00
00
00
10
10
11
00
00
00
00
10
01
10
10
10
00
10
10
10
00
01
10
00
10
11
00
10
10
00
10
10
00
10
11
10
01
10
10
00
11
00
00
10
10
00
10
11
00
11
11
00
00
00
00
00
10
10
10
00
00
10
10
00
10
01
11
10
00
01
00
10
00
10
01
10
00
10
10
11
10
01
10
11
01
11
00
10
10
00
10
00
10
11
01
00
00
00
01
00
11
00
01
11
11
11
00
11
11
00
00
10
11
01
00
00
11
00
10
00
00
10
10
10
01
11
10
00
10
10
11
01
10
00
10
10
00
10
11
00
10
00
10
10
10
10
01
01
00
10
10
00
00
00
00
10
10
00
10
01
00
10
00
10
00
11
00
01
10
10
00
11
10
00
00
11
00
01
11
10
10
10
10
10
11
01
01
11
10
01
00
10
11
01
00
11
11
10
10
10
10
00
01
00
11
00
10
00
10
00
01
00
01
10
00
01
00
10
10
10
00
10
10
00
01
11
11
10
00
10
01
11
01
00
10
00
10
11
11
01
00
10
10
11
00
01
10
01
00
00
10
10
01
00
00
11
10
01
10
11
01
00
10
01
00
10
10
00
10
11
00
00
11
11
11
00
10
00
10
10
10
11
01
00
10
11
00
11
11
00
01
10
10
11
10
11
10
11
00
11
11
10
00
10
00
00
10
10
00
00
00
10
00
00
10
10
00
01
10
00
10
11
00
01
11
10
01
01
01
11
00
01
11
00
11
01
00
11
10
10
00
10
10
11
10
00
10
01
00
00
10
11
10
01
10
00
00
01
00
10
10
00
00
10
00
10
10
00
01
10
11
00
01
11
11
01
01
01
10
01
10
11
10
00
10
00
11
10
00
11
00
01
00
01
11
11
10
10
00
00
00
01
10
10
00
00
11
11
01
01
01
10
00
01
00
01
10
10
10
11
00
00
10
01
00
10
01
10
01
01
10
10
10
11
00
11
10
00
10
10
10
00
01
11
10
10
00
00
10
10
01
00
01
01
00
00
10
11
00
11
10
00
01
00
11
10
00
01
00
00
10
00
00
00
11
00
10
00
10
10
10
00
01
10
00
00
11
10
11
01
00
01
00
00
11
00
01
00
00
11
10
01
00
10
11
10
00
00
01
11
10
01
00
10
11
01
10
11
10
00
11
00
00
10
11
00
10
01
01
01
10
10
11
00
11
00
10
11
10
00
00
00
10
01
01
11
11
01
10
00
10
10
01
00
10
00
10
11
10
00
00
00
00
00
01
10
10
01
00
11
01
00
00
10
01
01
00
10
00
11
00
01
10
00
10
10
00
00
00
11
10
00
11
10
01
00
10
00
00
10
10
00
00
00
11
11
11
00
00
11
11
10
00
10
10
10
00
01
10
00
00
00
11
00
01
10
00
00
00
01
00
01
10
11
00
01
11
10
11
00
00
11
10
00
00
00
10
11
00
01
00
00
11
00
00
10
10
00
01
01
01
01
11
10
10
10
10
10
00
01
10
00
00
00
10
10
10
10
11
10
10
00
00
00
10
10
00
11
10
11
00
00
10
11
11
00
11
01
11
10
00
10
00
00
11
00
00
11
11
11
00
11
10
00
00
10
00
00
00
10
10
10
00
01
10
11
00
11
10
11
01
00
10
01
00
10
00
01
00
10
10
10
00
00
00
00
00
10
10
01
01
01
10
11
10
10
11
00
00
10
11
11
00
01
11
11
01
10
00
11
00
00
10
11
00
10
11
01
01
11
10
10
10
00
10
10
00
00
01
10
10
10
10
10
10
10
01
00
11
01
10
11
00
10
10
00
00
00
01
10
11
01
10
10
01
00
10
00
00
00
10
10
00
00
11
00
00
00
10
01
01
00
10
10
10
11
10
00
00
10
10
01
10
01
01
10
11
10
00
10
10
00
00
11
11
10
10
10
01
00
11
10
00
10
11
01
00
11
00
10
01
10
10
10
10
10
00
00
10
00
10
10
00
00
00
10
10
10
00
10
11
00
10
11
00
00
00
01
01
00
10
11
01
01
01
11
01
00
10
00
00
10
10
00
00
00
00
00
10
10
00
00
11
00
00
11
10
10
00
10
00
10
10
10
01
00
00
10
10
10
00
00
01
00
10
11
10
10
00
10
11
00
00
10
00
11
00
00
00
11
10
11
00
10
11
10
10
00
11
00
11
10
00
01
10
01
10
10
00
00
00
01
10
10
00
11
10
01
01
10
00
00
00
00
11
11
00
00
11
00
11
01
00
01
00
00
00
00
11
10
11
11
10
01
00
10
11
00
00
10
10
10
00
10
11
11
01
00
01
01
10
10
00
00
11
00
01
10
01
00
11
00
00
10
11
01
00
01
10
10
00
10
01
00
11
10
00
01
01
11
00
00
10
10
10
00
00
10
11
01
11
10
00
10
10
01
10
10
01
00
00
00
01
10
01
01
00
00
10
10
00
10
00
10
00
00
11
01
00
01
00
10
10
00
10
00
00
10
01
10
00
10
00
01
10
00
10
10
01
11
11
10
00
00
01
00
00
10
01
00
01
01
10
01
10
01
10
01
01
11
10
00
00
10
11
01
01
10
10
00
01
00
11
01
00
10
10
10
00
10
10
00
00
10
11
11
00
11
00
10
10
11
10
00
10
10
10
10
11
00
11
10
11
11
00
11
01
10
11
01
00
11
00
00
10
11
01
10
10
00
10
10
10
01
00
10
11
10
00
00
11
10
01
01
10
01
01
10
10
00
00
01
00
10
01
00
00
10
11
11
01
01
10
10
00
11
11
01
01
10
10
10
10
10
10
00
11
10
01
11
11
00
10
10
11
00
00
01
01
10
11
00
11
00
10
10
00
00
11
10
10
00
10
10
10
00
00
10
11
00
00
10
10
00
11
10
11
00
10
10
10
01
01
10
11
11
01
00
00
00
10
11
01
00
10
10
00
00
00
10
11
11
00
11
10
01
10
10
01
11
01
00
10
11
00
10
10
11
00
00
11
00
10
10
00
10
01
00
11
01
10
10
10
10
00
10
11
10
10
00
00
00
10
11
10
10
00
11
10
00
11
11
00
01
00
00
00
00
11
11
10
10
10
10
01
10
10
11
01
00
00
10
00
00
11
10
00
00
11
10
10
00
11
01
00
10
00
00
10
11
11
10
11
10
10
10
11
01
01
10
11
11
01
10
10
00
01
10
10
11
00
11
10
10
10
10
01
10
10
00
11
11
00
00
10
01
01
10
00
00
00
11
10
10
00
01
01
00
00
10
10
00
10
10
00
00
10
10
10
11
10
10
10
00
11
00
01
10
01
11
00
11
11
10
10
00
00
00
10
01
01
01
00
00
11
10
10
11
10
00
01
11
11
10
01
10
10
00
01
11
11
00
01
11
01
00
00
10
11
01
00
10
10
10
11
10
00
00
00
10
11
11
00
00
00
10
00
00
10
11
00
01
10
10
10
00
10
10
00
00
11
00
10
00
01
10
00
01
11
10
10
01
10
00
11
10
00
10
11
10
10
00
10
10
00
01
00
00
10
01
10
01
10
10
10
00
10
11
00
01
00
11
10
01
11
00
10
10
11
01
01
10
00
10
00
00
00
11
11
11
11
00
01
11
10
11
10
00
00
00
10
00
10
11
10
00
10
10
00
00
00
10
11
00
01
10
01
01
10
01
00
00
00
11
10
00
11
10
10
01
10
00
00
00
10
00
10
10
11
10
10
00
10
01
11
01
10
11
10
11
10
01
10
11
01
01
10
11
10
00
10
10
01
00
00
10
01
10
10
01
11
10
00
01
01
01
00
10
10
10
00
00
11
10
10
10
00
10
01
00
10
10
00
00
10
11
11
00
00
00
11
11
11
00
10
11
10
11
00
11
10
00
00
10
10
01
00
00
10
01
00
10
10
00
10
01
11
10
00
00
10
10
10
10
11
10
00
10
11
01
10
10
00
11
00
11
10
00
10
11
00
11
00
10
00
00
10
10
00
01
00
00
11
10
11
11
11
10
01
00
01
00
10
00
11
10
01
10
10
01
00
10
10
00
00
11
00
01
10
10
00
00
10
10
11
00
00
10
10
11
10
00
00
10
11
00
10
10
00
00
10
10
00
00
10
11
10
00
00
01
10
11
00
01
11
11
00
00
00
11
00
01
01
11
11
11
01
00
01
10
00
11
11
00
01
10
10
10
00
00
11
10
11
11
11
00
00
10
01
10
11
00
01
11
11
00
00
00
10
10
00
00
10
00
10
10
00
11
01
00
00
10
00
10
10
10
00
10
01
00
00
10
00
01
01
01
11
10
01
01
00
10
11
00
01
11
10
01
11
10
00
00
10
10
01
00
10
10
01
10
10
00
10
00
00
10
01
00
01
10
00
00
10
10
00
01
10
00
00
01
10
00
00
10
10
10
00
10
10
11
10
11
11
10
10
01
00
10
10
00
10
10
00
00
01
10
01
10
11
11
00
01
11
00
00
10
11
00
00
10
10
10
10
00
00
00
10
10
11
00
00
01
11
00
10
10
01
10
11
11
01
10
10
01
00
00
10
00
10
10
00
10
00
00
11
11
10
00
01
10
11
01
11
01
11
00
10
11
10
01
01
10
10
10
11
10
01
01
01
10
10
10
11
10
01
00
10
00
11
11
01
11
11
10
00
01
00
00
10
10
00
10
10
00
10
10
11
01
00
01
10
01
11
11
10
01
00
10
10
01
11
10
00
00
00
01
01
10
10
01
00
01
10
10
00
00
00
10
01
00
10
00
10
00
11
00
01
10
10
10
10
10
00
01
10
11
10
00
11
00
10
01
10
00
10
10
01
11
11
00
00
10
10
00
00
10
10
10
00
00
00
00
10
00
11
00
01
01
11
00
00
10
10
10
00
10
11
00
00
11
10
01
00
00
11
00
10
10
01
00
11
00
00
11
10
10
00
01
11
00
11
10
01
00
10
10
10
00
00
00
11
11
10
00
11
00
10
11
10
00
10
00
00
00
00
10
00
00
01
10
00
10
10
01
10
00
01
10
10
10
01
00
10
10
10
01
01
00
10
01
01
11
01
00
10
10
11
00
00
10
11
11
10
10
01
11
10
11
10
00
00
10
10
00
00
11
00
01
00
01
10
01
01
00
10
10
10
11
00
00
10
10
00
10
10
10
10
00
01
00
00
10
00
00
00
11
10
00
10
01
00
00
11
00
10
10
00
00
01
01
00
10
00
00
00
00
11
10
10
00
00
00
10
01
11
11
10
00
00
00
00
00
10
10
11
00
10
00
01
11
00
11
00
11
10
01
01
11
00
01
10
11
11
00
01
11
01
11
10
00
01
00
10
11
00
10
10
00
10
10
01
00
10
10
10
10
01
01
11
01
01
10
11
01
01
00
00
00
10
10
00
10
01
00
10
01
11
10
11
01
11
01
10
11
01
00
01
00
10
10
10
10
00
00
11
11
10
11
00
00
10
00
00
00
11
10
01
11
10
00
00
01
00
11
10
11
10
10
10
11
00
01
11
10
00
00
00
10
11
11
10
10
00
00
10
10
01
10
00
11
00
00
10
10
00
01
10
10
11
10
11
00
00
10
00
00
10
00
01
10
00
10
10
10
00
01
11
10
01
01
11
00
00
00
11
00
00
10
10
10
10
01
11
00
01
10
10
01
00
11
10
10
01
11
00
11
00
00
10
00
11
11
10
01
00
10
01
00
10
00
00
11
01
11
00
11
00
00
01
10
10
01
10
01
11
10
11
10
10
10
01
01
11
10
00
00
11
00
01
01
10
11
00
10
10
10
01
00
10
10
11
10
00
00
01
00
10
00
10
01
00
11
10
01
10
10
10
11
11
10
00
00
00
11
00
10
10
00
00
00
10
00
01
00
00
11
00
01
10
10
00
10
11
10
01
01
10
10
01
01
01
01
11
10
00
01
10
00
00
11
10
10
11
00
00
10
11
01
11
01
00
10
11
01
01
10
11
01
01
00
01
00
10
11
01
00
10
01
00
10
10
01
00
10
11
00
00
11
10
10
00
11
10
10
00
10
10
11
10
00
00
01
10
10
00
00
00
01
10
10
00
00
00
10
11
00
11
10
00
00
00
00
10
10
10
00
10
11
00
10
10
00
10
10
00
10
10
00
01
01
01
11
01
10
10
11
11
00
00
10
10
11
10
10
01
01
00
10
10
00
10
10
00
00
10
00
11
10
00
10
00
10
11
01
01
00
11
00
01
00
10
00
00
11
10
00
00
11
01
11
01
01
10
11
01
10
00
01
11
00
11
10
10
10
00
00
00
00
11
00
00
10
01
00
00
00
11
10
11
11
00
00
00
10
01
01
11
10
00
01
00
00
10
01
10
00
10
10
11
00
10
01
01
10
00
01
10
11
10
10
01
00
10
10
00
01
11
11
01
10
10
11
11
00
10
10
11
00
10
01
01
00
11
00
00
01
10
10
11
00
00
10
00
10
01
10
10
10
00
10
00
10
01
01
10
10
01
01
10
10
00
00
10
11
00
00
10
11
00
11
01
10
11
00
10
10
10
00
01
10
11
00
00
01
11
11
01
10
11
10
00
10
11
01
00
10
10
10
11
00
11
10
10
10
00
00
11
00
00
00
00
11
11
00
00
01
10
00
01
00
10
00
10
10
10
00
01
00
00
01
01
10
10
00
00
10
10
00
01
10
11
00
11
11
10
00
10
00
00
01
11
00
01
10
10
11
01
11
10
00
00
00
00
01
10
00
10
10
10
01
11
10
10
11
11
10
11
01
10
01
01
10
10
00
00
10
00
00
00
00
00
00
10
01
11
10
01
01
01
10
01
01
10
00
00
11
10
00
00
01
00
00
10
11
01
00
10
11
00
10
00
00
00
00
10
10
00
10
10
00
11
11
01
10
10
10
10
10
00
00
11
10
01
00
10
10
00
00
10
01
00
00
00
11
00
01
00
10
01
10
00
10
11
00
10
00
11
01
11
11
10
10
00
00
11
00
10
10
10
10
11
00
00
01
00
01
10
01
10
10
00
00
01
00
10
10
10
00
10
10
10
01
10
11
00
01
00
00
10
10
00
00
11
10
00
00
10
00
01
10
10
10
00
11
10
10
01
00
11
00
11
10
10
00
10
10
00
01
10
11
00
10
00
11
10
11
11
00
00
11
00
11
11
01
11
11
11
00
00
00
10
10
00
00
10
00
00
10
01
00
01
00
00
00
11
00
00
00
10
10
10
00
10
00
01
10
10
01
00
10
10
00
10
01
00
00
10
11
00
00
00
10
01
00
01
10
10
10
11
00
01
00
00
00
00
11
00
10
10
00
11
00
00
00
10
00
10
10
00
00
11
00
00
00
11
00
10
10
00
00
10
10
00
00
00
00
00
10
00
00
11
01
00
00
00
10
10
00
01
11
01
10
11
10
11
00
11
11
00
01
00
10
10
11
00
11
00
00
10
00
10
11
01
00
11
10
00
10
11
11
10
10
11
00
00
10
01
00
10
00
11
10
01
01
00
10
00
00
00
00
10
11
10
00
00
10
10
10
00
00
10
00
01
01
10
00
01
10
11
00
10
10
10
01
01
00
10
11
00
11
11
01
11
01
01
00
10
11
01
00
01
10
10
00
00
11
00
10
10
11
10
01
00
01
10
00
01
10
00
01
10
10
00
10
11
00
00
10
11
00
00
00
10
00
00
11
10
01
00
00
00
01
10
00
00
11
10
01
01
10
10
10
00
00
10
00
00
01
00
10
00
11
10
11
11
10
11
00
01
00
10
10
00
00
11
10
00
10
10
10
00
00
10
10
01
10
11
10
01
10
00
00
01
10
10
11
00
01
10
10
01
10
10
00
00
10
11
00
10
10
00
10
10
10
10
10
00
00
10
10
10
11
00
10
11
00
00
10
10
11
00
11
00
10
11
10
01
00
00
10
00
10
11
00
00
00
10
10
10
10
10
00
00
00
10
11
10
11
01
10
00
00
00
10
10
00
11
11
11
00
01
10
01
11
11
10
00
10
11
00
11
00
00
10
11
00
01
00
01
10
00
00
10
10
00
10
10
00
01
00
10
01
00
00
11
11
10
10
00
00
10
10
00
01
10
11
11
11
00
11
10
10
10
00
00
00
00
10
11
11
01
11
10
10
10
01
10
00
10
10
00
01
10
01
10
00
11
11
01
00
10
10
10
00
11
10
00
00
00
11
00
00
10
11
00
10
00
01
00
10
10
00
11
10
00
11
11
10
10
10
01
10
11
00
01
10
10
11
00
00
10
10
01
10
11
11
00
10
01
10
10
10
01
00
10
10
00
11
11
00
00
11
00
10
10
00
10
10
00
10
10
00
10
01
01
00
10
01
10
00
10
00
00
01
11
11
10
10
00
00
11
10
00
00
00
00
00
00
10
10
10
00
00
11
00
10
00
10
10
00
10
00
01
01
01
10
11
01
10
01
11
10
01
00
10
10
01
00
10
10
00
01
01
00
11
10
01
10
01
10
10
01
01
11
01
11
10
01
10
00
01
10
11
00
00
10
01
10
00
00
10
10
10
10
00
00
10
10
01
10
11
11
00
00
10
01
00
00
10
10
00
11
00
11
01
01
01
01
00
00
00
10
00
10
10
11
10
11
10
00
00
10
10
00
00
10
10
00
00
00
00
01
00
00
11
00
00
00
10
10
10
00
01
01
00
00
00
01
00
10
11
11
10
00
01
11
01
11
11
00
11
10
00
01
00
11
11
00
00
11
10
00
10
11
11
11
00
01
00
11
01
11
00
11
00
00
11
10
00
00
00
10
11
00
00
00
10
00
01
10
01
00
10
11
00
01
11
11
01
10
10
10
10
00
11
10
00
10
11
00
00
00
10
00
00
00
11
00
00
00
00
11
10
00
10
00
00
00
10
10
01
11
00
11
10
11
01
00
10
11
01
00
11
10
00
10
10
01
10
11
00
10
10
00
11
10
00
00
10
00
11
10
01
10
01
01
10
00
11
10
01
00
11
10
01
00
11
00
00
00
10
10
01
01
10
01
11
00
10
00
01
11
10
00
10
00
10
10
00
11
11
10
01
11
00
00
10
11
11
11
00
10
10
00
01
01
10
10
00
11
00
10
00
01
01
10
10
10
01
10
11
00
01
00
11
00
00
10
10
00
00
00
10
01
01
10
01
11
00
11
10
10
10
10
00
10
00
00
11
10
11
01
11
00
11
00
01
01
10
10
10
00
10
11
00
00
11
10
11
01
10
00
10
11
00
01
10
10
00
00
00
10
10
00
00
11
01
00
00
10
11
00
01
11
00
11
11
00
01
00
10
11
10
00
00
10
10
01
10
01
00
00
11
00
10
10
00
00
00
10
10
11
10
00
10
11
00
10
10
01
00
11
01
10
11
00
10
00
00
11
10
01
00
10
00
00
10
00
10
10
11
01
10
10
10
01
01
10
10
00
00
11
10
00
10
10
11
00
01
11
10
00
11
00
01
10
10
10
11
00
11
00
00
00
00
01
10
00
00
10
10
00
01
10
10
11
00
10
00
10
10
01
10
01
10
01
10
10
10
00
10
11
10
10
10
00
11
00
00
01
00
11
00
01
00
10
11
10
01
10
11
00
01
01
10
00
00
10
10
11
00
01
00
10
00
11
00
00
00
10
11
11
00
11
00
11
00
10
00
11
11
01
00
10
01
00
11
00
01
10
00
01
10
10
10
01
01
01
00
10
00
00
11
10
00
00
10
00
00
00
00
00
10
00
01
10
11
10
00
00
01
10
10
10
00
00
11
10
11
01
00
11
10
00
00
00
11
10
01
00
10
00
01
00
10
01
10
10
01
00
11
11
00
00
01
00
01
00
11
10
00
10
00
00
10
10
00
01
00
11
00
00
11
01
10
11
00
00
10
00
10
10
01
00
01
11
01
11
01
00
11
11
11
01
00
01
00
00
10
10
01
10
00
10
00
00
01
00
10
00
00
00
00
11
10
01
00
00
11
00
00
00
00
10
00
00
10
11
10
00
00
00
11
10
10
01
11
01
10
11
01
01
11
00
10
11
01
00
10
01
10
01
00
10
11
00
00
00
00
11
00
00
10
11
00
00
10
00
10
11
10
10
00
00
01
11
10
11
00
11
10
00
00
00
01
10
11
10
00
00
10
10
11
10
00
01
10
00
11
00
10
10
00
01
10
10
11
00
00
01
10
00
00
01
00
01
01
10
10
10
10
00
11
10
01
00
10
00
00
00
01
11
10
01
10
00
00
11
01
11
11
01
11
11
11
01
00
11
11
10
00
11
00
10
10
11
00
00
00
00
11
10
00
10
10
00
10
00
00
01
01
00
11
10
11
01
01
10
10
00
00
11
00
10
10
11
00
11
00
10
01
10
11
01
00
00
00
10
11
00
00
11
10
10
10
00
10
01
00
11
01
10
11
10
00
00
10
10
10
00
01
00
10
00
10
11
00
10
00
01
00
00
01
10
00
00
01
00
10
11
10
00
10
10
00
10
10
10
00
00
00
10
00
00
10
10
11
00
01
00
00
01
00
00
00
01
10
10
10
00
00
00
01
11
00
00
10
11
00
10
00
10
01
00
00
00
01
01
10
01
00
01
10
00
11
10
01
10
10
00
01
00
10
10
00
10
00
11
10
00
00
11
00
10
10
00
00
01
00
10
11
00
10
00
00
01
00
00
10
01
00
00
10
10
10
00
00
01
10
01
10
10
10
10
10
00
00
10
11
10
10
01
10
11
00
00
00
00
11
11
10
00
00
00
00
00
01
10
00
00
00
10
11
01
10
10
01
11
00
11
10
01
00
00
01
10
10
00
00
00
00
10
10
10
01
01
10
00
00
00
11
10
00
11
11
10
11
00
00
00
01
10
10
01
01
01
11
00
01
00
10
11
00
00
11
00
01
10
00
10
01
10
10
01
00
00
00
00
01
10
00
00
00
11
00
00
10
10
00
00
00
10
01
10
01
11
11
10
00
10
01
10
11
01
10
00
00
00
10
10
01
10
11
11
00
00
00
10
11
00
11
00
10
10
00
10
00
11
11
11
01
10
00
10
10
11
10
01
00
00
10
00
10
10
10
01
01
10
01
01
00
00
10
10
01
01
10
11
10
00
00
10
00
10
11
01
11
10
11
10
00
10
10
11
01
11
10
11
00
00
10
01
10
11
00
01
00
10
00
00
01
10
11
00
10
01
00
01
10
10
10
00
00
00
00
10
00
11
00
00
00
00
10
10
01
01
10
11
10
01
00
10
10
00
10
11
00
00
00
11
10
10
00
00
11
00
00
10
00
00
10
11
00
00
11
10
01
10
10
10
00
11
10
00
01
10
00
00
00
10
11
10
10
00
10
01
10
10
00
10
11
10
11
00
00
10
10
00
00
00
10
10
10
10
00
01
10
11
01
00
10
11
01
01
10
10
00
10
00
10
01
01
10
10
11
10
01
00
10
00
01
10
01
10
11
00
10
00
01
11
00
00
10
00
10
11
01
00
11
11
10
10
10
01
00
00
00
11
00
00
10
10
00
10
11
00
10
10
10
00
01
10
10
10
10
00
10
10
01
01
00
10
10
01
10
00
00
00
10
10
10
10
01
10
10
10
01
10
10
00
00
11
01
00
10
10
10
01
00
11
10
00
11
10
01
00
00
11
10
11
10
01
00
00
10
01
01
00
01
10
10
10
10
00
10
11
00
01
00
10
10
00
11
10
00
01
10
11
10
01
10
10
10
11
01
00
01
10
01
01
11
11
10
00
00
00
10
00
00
11
00
01
11
11
01
10
00
00
10
11
00
00
00
00
10
10
01
00
10
10
10
01
10
10
00
01
11
10
10
00
00
00
00
01
11
10
10
10
10
00
10
11
01
10
10
10
00
11
10
11
10
10
10
10
00
01
00
11
10
00
00
10
01
00
10
11
01
00
00
01
00
10
00
10
10
00
10
10
10
01
10
11
01
00
01
11
11
00
01
10
11
11
01
00
10
01
10
10
00
11
00
00
00
11
11
11
10
10
00
00
01
01
01
10
00
01
00
00
00
10
01
00
00
11
10
01
10
10
00
10
10
00
01
10
10
00
11
00
10
10
11
10
00
10
10
10
00
01
01
01
10
00
00
01
10
10
10
10
00
11
01
00
10
11
11
00
11
10
00
00
10
00
00
01
00
00
10
10
10
00
00
00
11
10
10
00
10
11
01
10
01
10
01
10
00
00
00
10
10
11
00
11
10
10
00
11
10
10
00
01
11
01
01
11
11
00
00
01
11
11
11
00
01
11
10
00
10
10
00
11
00
01
00
11
00
11
00
10
11
11
00
01
10
00
10
10
00
10
00
10
01
01
10
10
10
11
10
10
01
10
10
10
00
01
10
11
10
10
00
10
00
00
01
10
01
01
10
00
10
00
10
00
00
10
11
00
00
10
01
10
00
00
01
01
10
10
10
00
00
00
10
10
01
01
00
01
11
10
01
01
11
11
00
00
11
10
00
10
11
00
10
10
10
10
00
00
11
01
10
00
00
11
10
11
00
00
10
10
10
10
10
00
01
11
10
00
10
10
10
01
00
10
10
01
10
00
10
11
10
01
11
11
11
00
00
00
11
00
00
10
11
10
11
11
10
00
00
01
01
11
11
01
00
10
10
01
10
00
00
10
11
00
00
10
01
10
10
10
00
10
11
01
00
00
01
00
11
10
10
10
10
00
11
00
00
01
10
10
00
00
00
01
11
10
10
00
11
11
10
00
11
10
11
00
10
11
00
10
00
00
00
10
01
11
00
00
00
11
10
00
00
10
00
11
10
00
10
11
10
10
10
00
10
10
10
00
01
11
10
01
10
00
00
10
00
10
00
00
10
01
10
10
10
10
11
11
10
00
10
10
00
01
10
00
00
01
11
10
11
01
11
11
00
00
11
00
01
10
10
00
00
00
00
10
01
01
01
10
10
11
10
00
11
00
01
11
01
00
10
11
10
11
01
00
10
10
01
10
11
10
01
00
00
10
01
00
00
10
10
10
00
00
10
01
10
10
01
00
10
00
01
00
01
10
10
11
00
00
11
10
00
00
10
00
00
10
10
00
00
10
00
01
00
00
11
10
10
00
10
11
10
00
11
11
00
10
10
01
01
10
10
00
00
10
01
00
00
10
10
00
01
00
10
10
00
00
10
10
10
01
11
10
01
10
00
10
01
10
10
00
01
00
00
00
00
10
01
10
10
00
00
10
00
10
10
10
00
00
10
10
00
01
10
10
01
10
10
00
11
11
00
01
10
10
11
10
00
00
11
10
11
10
00
10
10
00
00
01
10
01
10
00
00
11
11
00
01
01
10
00
10
10
00
01
10
10
11
00
00
01
00
11
00
00
11
10
00
01
00
11
00
01
11
01
10
10
01
01
00
10
11
00
11
10
00
11
00
00
11
10
10
01
11
10
11
10
00
01
10
01
00
00
11
11
11
10
00
01
10
00
10
10
00
01
00
00
10
11
00
00
00
11
00
00
10
10
00
01
11
10
01
00
00
10
00
10
11
10
01
11
10
01
11
11
10
11
00
00
10
00
00
11
01
01
10
10
00
00
00
10
10
10
10
00
01
01
10
11
11
00
10
11
00
00
00
10
00
10
01
11
10
10
00
00
10
10
00
00
11
10
00
10
11
00
01
10
10
01
01
00
01
10
11
10
01
01
10
10
00
00
10
00
01
10
11
01
10
01
10
01
01
11
11
00
01
11
10
01
00
10
10
00
10
11
11
00
00
10
00
00
10
10
11
11
00
00
00
00
00
00
11
11
01
01
10
10
10
11
00
00
11
11
00
00
10
10
11
10
01
10
10
00
00
00
10
10
01
00
10
01
10
10
10
10
00
11
10
00
00
10
11
01
00
10
10
00
01
11
00
10
11
11
11
00
00
10
10
01
11
10
11
10
10
00
10
11
01
00
01
00
00
01
00
10
00
01
10
11
10
00
00
00
00
10
11
00
10
01
10
11
10
10
00
10
10
00
00
10
11
10
00
00
01
10
00
01
00
00
10
10
10
10
00
00
11
00
01
01
00
01
11
10
00
00
10
01
11
00
01
01
11
00
01
10
00
00
00
00
11
10
11
01
00
01
00
01
10
00
00
00
00
10
10
00
10
10
00
10
01
11
11
00
11
10
10
10
01
00
11
00
00
01
11
10
00
01
01
00
00
11
11
01
00
10
00
10
10
00
01
01
01
10
10
00
11
00
00
10
10
10
00
00
00
11
01
00
00
10
01
10
11
01
11
10
10
00
11
11
01
11
10
00
11
00
11
01
00
10
10
01
10
00
00
00
00
11
11
11
11
00
11
00
10
01
01
10
11
01
00
00
00
11
00
01
10
01
00
10
10
00
00
11
10
00
11
00
01
10
00
01
00
00
11
10
00
11
00
00
10
10
00
00
10
00
00
00
11
00
00
10
10
00
10
11
01
10
11
01
10
10
00
10
01
01
01
01
10
01
10
00
00
10
11
11
01
00
11
10
11
01
11
00
10
01
00
10
10
00
00
01
10
10
11
00
11
10
10
00
00
10
10
01
00
00
00
00
01
10
01
11
00
10
11
10
00
11
10
10
11
10
00
00
00
10
01
01
11
01
11
11
10
00
01
10
11
01
01
01
00
11
00
10
00
10
11
10
00
00
00
11
00
11
10
01
01
11
10
01
10
10
00
00
10
01
10
11
00
10
00
00
11
00
10
11
10
00
01
10
00
10
10
00
10
00
10
00
01
11
01
00
00
00
10
10
01
10
11
11
00
01
11
00
10
01
01
10
11
00
01
11
00
10
00
00
10
00
10
01
01
11
00
00
11
00
10
00
00
10
00
01
11
00
10
00
01
01
11
10
10
10
01
10
11
00
00
11
10
01
00
01
10
10
00
00
10
11
11
10
11
00
10
10
10
10
00
00
10
00
11
11
10
01
01
11
10
00
01
01
10
11
00
10
11
11
11
10
00
00
11
00
11
00
00
01
00
10
11
00
00
10
01
11
11
00
10
00
10
10
00
10
10
10
01
01
01
11
10
11
00
01
10
00
01
10
10
00
10
10
10
00
00
11
00
10
00
00
10
00
01
10
11
01
11
00
11
00
11
00
00
10
11
11
10
01
00
00
11
10
00
10
10
10
00
10
10
01
11
11
10
01
00
11
10
10
11
00
00
10
01
00
00
00
01
10
00
10
00
10
01
11
11
01
11
10
10
10
00
01
10
01
00
01
01
11
10
10
10
10
01
00
10
10
01
01
11
01
00
10
10
00
11
10
01
10
10
10
10
00
01
01
10
00
10
10
00
01
10
00
00
11
01
11
10
00
01
10
01
10
11
01
00
11
00
01
10
00
10
10
10
00
00
10
00
01
11
01
00
01
01
11
11
01
00
10
10
11
11
00
00
01
10
10
00
00
10
10
00
10
11
10
01
01
10
11
01
00
11
01
01
11
10
11
00
00
11
11
01
00
01
10
10
11
11
00
11
00
00
10
10
00
11
01
00
00
11
01
00
00
10
10
00
00
10
10
00
00
01
01
10
01
00
10
01
01
10
10
01
00
00
10
00
11
00
00
11
10
10
00
01
10
10
00
00
00
10
00
11
00
00
00
10
00
11
10
00
01
01
11
00
10
10
10
10
01
00
10
00
00
10
10
10
10
00
00
00
11
00
10
01
00
00
10
10
00
10
00
00
10
10
10
00
01
11
00
10
00
01
00
10
10
11
00
00
00
10
11
00
10
00
01
10
10
00
01
00
10
10
00
00
11
00
11
00
01
00
00
11
00
11
00
10
11
10
01
00
10
11
11
11
00
11
10
01
01
11
00
00
10
10
11
00
01
01
11
10
00
00
10
10
10
01
00
10
10
00
11
00
11
10
10
10
10
10
10
11
01
00
01
11
11
11
11
11
00
00
10
01
10
10
00
00
11
00
00
10
11
01
01
11
01
00
00
00
11
00
00
10
10
01
11
10
00
00
01
10
00
10
10
11
11
10
01
10
10
00
00
10
00
00
10
00
11
00
11
10
00
00
01
10
01
00
10
00
00
01
10
11
01
01
00
11
11
00
00
10
01
00
10
00
11
01
00
10
01
10
00
10
10
10
10
00
00
10
10
10
00
10
00
00
10
01
11
01
11
10
00
10
01
00
00
01
10
00
01
10
10
01
00
01
00
00
10
10
00
00
00
11
10
10
00
11
00
00
10
11
10
10
10
00
00
00
01
00
01
01
11
01
10
11
00
00
10
11
00
00
10
11
01
00
00
10
00
00
01
00
01
00
10
11
10
00
00
01
11
11
01
11
01
11
00
00
11
11
00
00
10
10
01
11
00
00
01
00
10
11
01
00
10
10
11
00
01
10
00
01
01
10
01
10
10
00
00
11
11
10
00
10
10
00
11
00
10
10
01
00
10
00
10
11
10
01
00
11
01
10
11
10
11
10
10
00
01
10
11
10
01
10
11
01
00
00
01
01
10
10
01
10
01
10
00
11
10
00
10
11
10
10
00
00
01
00
10
11
01
00
11
01
10
00
00
10
10
01
11
01
00
11
10
00
11
10
00
00
10
11
10
00
00
00
00
00
10
00
00
10
11
10
00
00
10
11
10
01
11
00
01
00
00
11
00
00
00
01
10
00
00
11
10
00
10
11
00
00
10
01
00
10
10
00
00
11
00
00
10
10
00
11
00
11
10
00
11
10
10
11
01
10
00
00
11
00
00
10
11
00
11
10
00
00
00
10
11
00
00
00
10
00
00
00
11
10
11
00
10
10
11
00
00
00
11
00
00
10
11
10
10
00
00
10
11
01
01
00
10
11
00
01
00
11
10
00
00
10
10
00
00
10
10
10
11
10
00
01
00
00
10
11
00
10
10
00
00
00
00
10
10
00
10
00
01
00
01
01
10
00
00
10
11
11
00
10
10
01
10
11
01
11
10
10
10
00
01
10
10
00
01
11
00
11
10
01
00
01
10
01
01
10
10
01
01
10
10
00
00
01
01
10
00
10
10
11
11
00
11
00
11
00
00
11
11
11
01
00
10
10
00
00
00
10
01
10
10
00
10
00
00
10
10
10
10
10
00
00
10
10
10
00
01
11
10
11
10
10
00
01
11
10
10
00
10
10
10
00
10
10
10
00
00
00
01
10
10
10
10
01
11
00
01
10
11
11
10
00
00
00
00
00
10
10
11
10
11
00
00
00
00
00
00
01
11
11
11
01
00
00
00
10
00
00
11
10
01
01
00
01
11
00
10
01
00
10
11
00
10
01
11
10
00
00
01
00
00
10
10
00
10
00
10
10
00
11
00
00
00
01
00
10
10
01
00
01
11
10
11
11
11
10
00
00
00
11
10
00
00
10
00
10
11
00
01
01
11
00
00
10
10
00
00
11
11
11
10
01
10
00
01
10
00
11
10
00
01
10
10
10
00
00
00
11
10
10
00
00
01
10
10
11
11
01
01
00
10
11
01
00
10
10
00
00
10
01
00
10
11
00
01
11
00
10
10
01
00
01
10
01
00
10
00
00
00
10
10
10
10
00
10
10
10
10
00
10
10
00
00
01
01
10
10
00
00
00
11
00
00
10
10
10
11
10
01
00
11
10
10
00
10
00
10
00
01
10
10
00
11
00
01
10
00
10
10
10
10
10
00
10
00
00
11
11
01
10
01
00
11
10
01
01
10
11
00
01
10
01
00
11
10
00
10
10
00
00
10
11
10
01
00
10
00
10
01
00
11
10
11
00
00
10
10
10
00
00
01
10
00
10
01
00
10
01
00
11
10
01
00
11
10
10
10
00
10
00
01
11
11
00
00
10
00
10
10
01
01
10
10
00
11
00
10
10
11
01
00
00
00
01
10
00
01
10
11
10
01
01
10
00
10
10
00
00
10
10
11
10
10
00
00
11
00
10
10
00
00
01
00
10
10
11
00
01
11
11
00
10
10
10
10
00
10
10
00
10
10
10
00
00
01
10
10
10
10
00
00
10
00
10
10
10
01
01
01
10
11
01
00
11
00
00
10
10
11
10
00
01
10
10
00
10
00
11
01
01
00
11
10
10
10
00
00
11
00
11
11
11
00
10
10
00
01
11
10
00
10
10
00
00
01
00
00
01
00
01
10
10
00
00
00
11
11
00
10
10
11
10
10
00
00
10
01
01
10
01
01
01
00
01
00
10
10
00
11
10
10
00
00
00
01
01
01
01
10
00
11
11
00
00
11
10
11
10
01
10
00
00
01
10
10
00
01
10
00
11
10
00
00
00
00
00
10
01
01
00
10
10
00
01
10
01
00
00
00
01
11
00
10
11
10
00
00
11
10
11
00
11
10
10
11
00
01
10
00
00
00
11
10
00
01
01
11
01
01
11
01
10
00
00
00
01
11
10
00
10
11
00
11
10
10
01
10
01
01
10
10
00
00
01
00
00
11
11
01
10
10
11
11
11
10
00
00
00
10
01
01
10
10
00
00
00
11
10
10
00
11
11
00
10
01
01
10
00
11
00
10
10
10
00
00
11
00
01
11
00
00
00
00
11
00
00
10
00
00
11
10
10
10
10
10
10
10
01
10
01
00
00
10
10
01
00
10
10
00
10
00
10
10
10
00
01
10
00
11
11
10
01
10
10
10
00
01
01
11
10
01
00
10
10
00
01
10
01
01
00
11
00
10
10
11
01
00
10
10
00
01
10
11
10
01
00
01
00
00
00
10
10
10
11
01
10
00
10
11
10
00
10
11
00
10
00
11
00
01
00
01
11
00
11
00
01
00
01
11
11
01
10
10
01
00
01
11
11
00
11
10
10
10
00
01
10
11
01
11
10
11
00
01
10
10
01
01
10
10
01
00
00
10
10
10
10
10
00
10
10
11
10
00
10
00
00
00
10
11
00
01
01
10
00
10
10
00
00
11
11
10
00
11
00
00
11
10
11
10
01
00
10
10
00
01
11
11
00
10
11
10
11
10
00
11
00
00
00
00
10
10
00
11
11
11
11
00
00
00
01
10
11
00
10
11
10
10
01
01
10
00
01
11
10
11
00
00
00
11
00
01
10
00
11
10
10
01
00
11
10
10
01
10
11
00
01
10
01
00
10
10
00
00
10
10
01
10
10
10
11
00
10
01
01
00
10
11
00
00
10
10
00
00
11
01
10
10
10
00
10
01
00
11
00
00
00
10
10
00
10
10
10
10
00
10
11
00
11
00
01
10
01
00
00
10
10
01
00
00
10
11
00
00
10
10
00
00
11
00
10
10
10
10
11
11
00
00
11
00
01
00
11
10
00
01
10
11
10
00
11
01
10
11
01
10
00
11
01
00
11
00
10
01
00
10
10
01
00
00
10
00
01
01
00
10
10
00
00
11
11
11
11
00
00
00
10
00
00
10
00
10
10
10
11
00
10
01
00
00
00
10
10
10
00
10
01
11
10
10
10
11
10
00
01
00
00
00
11
10
00
01
10
11
10
11
00
10
10
00
10
11
11
00
00
10
00
11
01
01
01
00
00
00
10
10
00
11
10
00
10
10
00
01
00
01
11
11
10
00
10
00
01
10
11
00
00
01
00
00
00
00
10
10
10
00
01
10
10
01
01
11
11
10
00
10
11
10
11
10
00
10
10
10
10
10
01
10
01
01
11
10
00
11
01
01
10
00
11
10
10
10
00
10
01
00
11
11
10
10
10
10
10
00
00
10
01
00
00
11
10
01
10
00
11
10
01
00
11
10
11
01
00
00
11
00
11
00
00
10
11
10
01
10
11
10
11
11
11
11
00
01
10
10
10
00
11
10
00
01
00
00
10
01
00
00
11
11
00
00
01
01
10
11
00
00
00
10
10
10
00
01
10
11
01
01
10
10
00
10
00
00
11
01
11
11
01
10
11
00
00
10
10
00
10
10
10
00
10
10
00
11
10
01
00
11
10
11
00
10
00
01
11
10
11
00
10
10
10
10
10
00
10
00
10
00
00
01
10
01
00
10
01
10
00
00
11
10
11
10
00
01
11
10
01
11
11
00
10
00
00
10
00
00
10
10
01
01
11
00
10
10
11
01
11
10
00
10
00
11
10
01
10
00
00
11
00
00
01
11
11
10
00
00
00
01
10
11
00
01
11
11
11
10
11
00
01
10
01
00
01
10
10
11
01
00
00
00
10
00
00
10
00
01
10
10
10
00
01
00
01
11
00
00
01
00
10
00
00
11
00
01
11
10
10
10
10
00
00
10
10
10
11
00
00
01
01
10
11
01
01
01
10
00
01
11
00
11
10
11
10
01
00
10
00
00
01
10
00
00
10
00
10
00
10
10
00
00
10
11
01
00
11
10
00
01
10
00
00
00
10
11
00
11
11
00
00
00
10
10
00
11
00
11
00
11
11
01
11
00
11
10
10
00
00
01
10
00
00
11
11
00
00
10
00
11
10
00
10
10
01
00
01
00
00
10
00
10
10
10
01
01
00
00
10
01
00
00
11
11
00
10
10
11
10
10
11
00
10
01
10
11
00
10
10
11
11
01
11
00
10
01
00
01
10
10
01
10
11
10
01
10
00
01
00
00
11
01
00
00
10
10
11
00
00
10
01
10
11
01
11
01
00
00
10
00
10
00
00
11
00
10
10
01
00
10
10
00
11
00
10
01
10
10
00
10
10
00
00
10
01
00
11
11
01
00
10
11
10
10
01
00
00
01
11
00
10
00
01
00
10
11
11
00
01
00
00
10
00
00
10
00
00
00
10
10
01
01
00
00
00
00
10
00
11
01
10
00
10
10
10
01
01
10
10
00
01
11
00
01
00
11
11
10
10
10
00
11
11
01
00
01
00
10
10
10
10
00
10
00
11
00
10
11
10
00
10
00
01
00
01
10
10
00
10
10
01
10
11
01
11
11
10
00
10
00
01
10
10
00
00
00
00
01
01
01
01
10
01
11
10
10
00
00
11
10
00
11
10
01
01
01
00
01
10
00
10
10
10
00
11
11
00
10
11
00
00
10
10
01
00
10
01
01
01
11
00
00
10
00
01
00
00
11
01
11
10
00
11
00
00
00
10
10
10
10
00
00
11
00
11
00
10
10
11
00
00
01
10
00
01
10
00
11
10
01
01
10
01
01
10
10
11
00
11
00
00
11
00
10
00
00
10
01
10
00
01
10
10
10
00
00
00
01
11
11
10
10
01
00
00
10
11
01
10
00
01
10
10
11
10
00
00
11
10
01
01
01
10
11
10
00
10
10
00
10
00
11
10
00
10
10
01
00
10
00
10
10
11
10
00
00
10
10
11
11
00
10
11
10
01
00
01
11
00
01
10
10
10
10
10
11
10
00
01
01
00
00
10
10
10
00
00
00
00
10
00
00
11
00
10
00
11
01
11
10
11
10
10
00
11
01
00
00
01
00
11
10
00
01
10
01
11
10
10
00
00
10
10
00
01
10
11
11
00
10
00
11
10
11
10
00
00
00
10
00
01
11
11
10
10
00
01
10
01
01
10
11
01
01
10
11
10
00
11
11
00
00
00
11
01
00
11
10
01
01
01
00
11
00
00
10
00
11
10
11
00
11
10
00
00
01
10
10
11
00
00
00
11
10
11
10
00
11
10
11
10
01
00
11
00
11
10
00
00
00
10
00
00
11
10
10
01
00
00
00
00
10
11
10
01
10
01
00
10
10
00
00
00
10
10
11
10
10
00
10
10
10
00
00
00
10
10
11
10
10
10
01
00
11
00
00
00
01
10
10
10
00
10
11
00
01
10
11
10
11
11
10
00
00
00
10
11
01
10
01
00
00
01
10
10
00
10
10
00
11
10
01
10
01
00
10
10
00
00
11
01
00
11
10
10
01
10
11
01
01
11
01
11
10
00
01
10
11
10
10
01
01
11
10
00
00
10
10
00
00
10
10
00
01
10
00
00
11
00
10
01
01
01
11
00
00
11
10
11
01
00
10
01
01
10
11
00
00
10
10
10
01
00
10
11
00
00
10
10
01
11
10
11
00
00
11
10
01
01
10
00
01
10
10
10
01
00
10
10
01
00
00
10
10
01
00
10
10
00
00
11
10
11
00
01
10
10
01
00
00
11
10
00
01
10
10
00
00
11
10
00
01
00
10
00
00
11
00
10
10
11
11
11
01
00
10
10
10
00
01
10
10
01
00
10
01
00
01
10
00
10
10
10
01
01
10
11
01
10
11
10
00
10
01
00
00
11
11
01
00
10
01
00
11
10
00
10
10
01
10
10
00
00
11
01
10
01
10
10
00
10
00
10
10
00
00
10
10
10
00
11
10
10
00
01
00
00
10
01
00
10
01
01
10
00
11
10
00
10
00
00
11
00
01
00
00
11
01
00
00
01
10
11
10
00
00
11
00
11
10
10
11
01
10
00
10
11
10
01
11
01
00
10
10
00
10
11
01
10
00
00
10
00
01
00
10
10
01
11
10
10
00
11
11
00
01
00
10
10
00
10
00
10
00
10
00
01
10
10
10
00
10
01
10
11
01
10
00
00
10
00
11
11
11
10
01
01
10
00
00
10
11
11
01
00
11
11
10
00
11
01
01
00
10
10
10
11
11
00
01
00
10
00
11
01
00
00
10
01
00
01
11
11
00
00
00
11
00
00
10
10
01
01
11
00
10
10
10
10
00
10
11
01
00
11
00
00
10
10
10
10
00
10
11
00
10
10
00
10
00
00
10
11
00
00
00
10
10
00
11
00
10
11
10
11
01
00
00
10
10
10
01
00
00
10
00
00
00
01
11
11
00
10
00
00
11
11
01
00
10
10
10
01
01
10
11
00
10
00
01
10
10
10
01
01
10
01
01
01
10
00
00
11
10
01
01
11
10
11
01
10
00
01
10
01
10
10
00
10
00
10
10
10
01
00
00
00
00
00
10
10
10
10
10
00
10
01
11
11
10
00
11
01
00
10
10
00
00
10
00
00
00
10
10
11
00
00
10
00
00
01
10
10
10
01
00
11
00
10
01
11
01
01
10
00
11
10
00
10
01
00
10
00
01
10
10
11
00
00
11
01
10
11
00
10
00
01
10
10
01
00
00
01
10
10
01
00
01
11
11
10
01
11
10
10
00
00
10
00
00
10
00
00
10
00
10
00
11
01
00
10
10
10
11
10
10
11
00
00
11
00
00
00
00
00
00
00
11
10
11
11
01
01
00
11
01
00
00
00
11
11
10
01
01
11
10
01
01
00
10
11
00
11
00
00
00
01
10
00
10
00
00
10
10
00
10
10
00
01
10
10
10
01
10
00
01
11
11
10
01
01
00
10
10
10
01
10
11
00
00
11
10
00
01
00
10
10
01
00
11
10
00
00
10
10
00
00
10
10
00
10
10
00
01
01
10
10
10
10
01
10
00
00
11
00
10
10
10
00
01
10
00
10
11
00
01
11
01
11
10
11
01
01
11
11
10
00
00
10
01
10
11
10
10
00
01
10
10
10
00
00
11
10
10
01
11
10
01
11
11
00
00
10
11
10
00
00
00
00
10
01
10
10
00
00
10
10
00
00
01
00
11
10
10
00
10
10
01
00
10
11
01
00
10
01
10
11
01
01
01
10
00
00
10
11
11
10
10
00
01
10
11
00
10
11
10
00
00
00
11
10
01
01
11
10
11
00
10
11
00
10
10
10
00
10
10
00
10
10
10
10
10
00
00
00
00
00
11
00
00
11
10
01
01
10
10
10
11
10
10
01
00
10
01
00
10
01
00
01
00
10
00
00
00
10
11
01
00
10
10
10
01
00
00
01
10
11
11
00
00
11
00
00
00
11
10
01
10
10
01
10
00
10
11
10
00
00
11
10
00
00
11
10
01
00
10
11
11
10
10
10
00
10
10
01
00
10
10
00
01
10
10
10
10
00
00
00
10
00
01
00
00
10
00
10
10
00
00
00
10
10
11
10
00
10
00
01
10
10
01
01
00
00
10
11
10
11
00
00
01
01
00
01
00
10
11
10
10
10
01
01
11
01
10
00
01
00
00
00
10
10
00
11
00
10
01
10
11
00
01
00
00
01
01
00
11
11
10
00
00
00
11
11
00
10
01
11
10
10
10
01
10
10
00
11
00
00
10
00
10
11
01
10
11
11
01
01
10
10
10
00
01
10
00
00
10
11
00
10
10
01
10
01
00
11
10
00
00
10
10
10
10
00
10
00
01
00
01
10
10
00
00
10
10
00
00
11
00
10
01
00
01
00
11
10
00
01
00
01
10
00
10
00
00
01
01
10
11
10
01
10
10
11
00
00
01
01
11
00
11
00
10
10
00
10
11
00
01
01
10
10
11
00
10
10
00
10
00
00
10
10
10
00
10
10
10
00
10
01
10
10
00
10
00
01
11
10
01
00
11
10
01
01
01
00
11
01
10
10
00
11
00
01
10
10
11
10
00
11
00
01
11
00
01
00
10
10
10
10
01
00
00
00
10
10
11
01
00
10
10
01
10
11
00
10
10
00
11
10
01
01
01
10
01
10
10
01
11
01
10
10
00
01
00
10
11
10
00
10
11
00
10
11
00
00
01
00
00
10
00
01
00
01
10
10
00
10
00
10
11
01
10
00
00
01
10
10
00
00
00
00
11
11
00
00
00
11
10
10
10
00
10
00
00
10
11
01
00
10
10
01
10
00
11
10
00
00
01
11
00
10
11
00
10
01
00
01
10
10
10
01
10
10
00
00
00
00
10
01
01
00
11
11
00
10
00
01
10
10
01
10
00
11
00
10
00
00
10
00
10
01
10
00
10
01
00
11
00
11
00
10
00
01
01
10
00
00
00
00
00
11
00
01
00
01
10
11
11
00
11
10
01
10
10
10
10
00
00
10
10
01
00
00
10
00
10
10
10
01
10
00
11
10
00
10
00
11
00
10
10
00
10
10
11
00
10
00
00
11
10
11
11
10
01
11
10
00
00
10
01
10
11
00
01
11
10
01
11
00
10
10
01
01
11
10
00
00
10
01
01
10
10
11
00
11
01
01
10
11
11
10
10
01
00
11
10
00
10
10
10
10
11
00
00
11
10
00
00
00
10
00
10
00
00
10
10
10
11
10
10
11
11
00
01
10
11
11
11
10
01
01
10
00
00
00
10
00
01
10
10
01
00
10
11
00
01
11
00
10
00
00
10
01
00
00
10
10
01
00
10
10
00
01
11
00
11
00
00
00
00
11
10
01
11
11
00
00
00
11
10
10
00
01
10
11
01
00
10
00
00
10
00
01
10
11
00
10
11
00
00
10
10
00
01
10
01
11
00
10
10
00
10
00
00
11
01
01
01
00
00
10
10
00
00
10
11
01
00
10
00
11
00
01
01
10
11
10
01
01
11
11
10
00
00
00
01
10
10
10
10
10
10
11
00
00
10
01
10
00
11
10
11
11
10
10
01
10
01
00
10
11
00
10
00
10
10
10
00
11
00
10
10
00
00
10
10
00
00
10
00
11
00
11
00
11
11
00
00
01
10
10
10
01
00
00
00
11
10
00
10
10
00
01
11
00
11
01
11
00
10
01
00
10
11
10
00
11
00
00
00
11
11
00
01
01
01
10
11
10
10
10
00
10
11
11
01
01
00
01
00
00
10
10
01
01
11
10
01
01
01
01
00
11
11
11
00
11
01
00
11
10
11
00
01
10
11
00
00
10
10
00
00
00
11
11
01
01
01
11
01
10
11
11
01
01
10
10
00
00
10
10
00
00
00
00
10
11
00
10
00
10
10
10
01
00
10
01
10
10
10
10
00
01
11
01
10
00
00
00
00
10
10
01
00
11
00
00
00
00
10
10
11
00
00
00
10
01
00
10
01
10
11
00
00
11
10
10
01
00
10
00
01
11
01
00
00
11
00
11
10
01
01
10
01
01
10
10
10
01
00
00
10
11
11
01
00
10
00
00
10
10
00
00
10
10
11
00
10
00
00
00
00
10
11
00
01
00
10
10
11
00
10
01
00
11
11
10
00
11
10
11
10
11
01
00
01
00
00
00
00
10
10
10
10
11
00
11
00
10
00
11
00
00
00
11
00
11
10
01
10
10
00
10
00
00
10
11
10
10
00
10
00
10
01
01
10
00
11
10
00
00
00
00
01
11
10
01
01
10
01
10
10
01
00
11
10
00
00
10
10
01
11
10
00
10
00
00
11
00
10
01
11
00
10
10
11
10
00
11
00
11
00
01
10
10
01
10
10
01
01
00
10
00
00
00
10
10
11
00
10
11
00
00
10
00
00
00
00
01
10
10
10
10
00
00
10
00
10
10
11
11
00
01
00
10
00
00
10
00
01
10
10
00
10
10
10
11
01
10
10
11
00
00
10
10
00
00
10
00
00
11
11
00
10
00
10
10
01
01
10
11
11
11
00
00
10
00
01
00
11
11
00
11
11
11
11
10
00
10
11
01
00
11
10
00
10
10
01
10
01
01
11
00
11
11
11
11
00
00
00
01
11
11
10
10
10
10
10
11
00
00
00
11
00
10
10
00
10
11
10
00
00
10
10
10
01
00
10
00
10
10
11
00
10
10
10
11
10
11
00
00
00
00
00
10
00
00
11
10
01
10
00
10
01
11
10
00
10
10
10
11
00
11
00
01
10
00
10
01
10
10
10
01
01
00
00
11
01
11
01
00
11
11
11
01
11
10
00
10
10
00
01
00
10
10
11
11
00
11
10
01
01
11
10
01
01
01
01
11
10
00
10
10
01
01
00
11
10
10
00
10
10
10
01
01
10
00
00
00
10
00
00
11
10
00
00
10
11
01
11
00
10
00
11
10
10
10
01
00
10
01
00
10
10
00
00
11
11
11
01
01
11
11
10
01
00
00
00
10
11
00
00
11
11
10
00
01
10
10
01
10
00
10
00
01
00
00
10
10
00
00
10
00
01
01
01
11
00
00
01
10
10
10
00
00
11
11
00
11
01
10
11
00
11
10
00
00
01
10
10
11
11
00
11
10
10
01
11
10
00
00
10
11
10
01
01
10
00
01
00
00
00
11
00
10
10
11
11
01
00
11
10
10
00
01
00
10
00
10
10
10
11
01
10
11
11
11
01
00
10
00
11
10
01
00
00
10
00
00
11
10
10
01
01
00
01
11
01
01
11
01
01
10
10
00
01
10
11
10
01
00
00
10
01
10
10
10
10
10
01
01
10
10
10
01
01
01
00
11
10
00
01
10
00
01
10
10
00
10
00
00
10
10
11
01
10
00
00
11
00
10
00
00
00
00
10
11
10
10
10
11
00
01
01
00
10
00
00
10
00
10
10
00
00
10
01
00
10
11
00
11
01
11
10
00
10
00
00
10
10
00
11
01
00
01
10
01
01
10
11
00
00
10
10
10
00
11
10
00
00
00
01
00
10
00
11
10
00
01
01
10
10
00
10
10
00
00
10
10
11
00
00
10
00
10
11
10
01
00
10
01
00
10
10
10
00
10
00
00
10
10
01
11
00
10
10
11
10
00
10
00
10
00
11
10
00
01
10
11
01
00
00
10
01
11
10
00
11
01
01
11
10
11
00
01
01
00
10
10
11
01
11
10
10
11
10
01
10
01
00
00
01
01
00
10
11
10
10
01
01
00
00
10
10
00
00
10
10
01
01
11
01
00
01
00
11
10
10
00
10
00
00
00
10
00
00
00
00
00
10
10
00
00
00
10
00
01
10
10
01
10
10
10
11
01
11
10
00
10
11
10
01
01
10
01
00
10
11
10
00
10
10
00
00
10
10
00
00
01
10
10
11
01
00
10
00
10
10
01
01
11
01
00
00
00
10
11
00
10
11
00
10
00
00
10
10
00
11
10
10
01
01
10
11
00
00
01
01
10
10
10
00
01
10
10
00
01
10
01
11
10
11
00
00
10
10
00
00
10
10
01
10
11
11
01
10
00
11
11
00
10
01
10
00
10
11
00
10
10
00
11
10
00
00
10
11
01
00
11
00
00
10
10
00
01
01
00
10
11
11
11
11
11
00
01
00
10
01
11
01
00
01
01
00
01
10
00
11
01
00
10
10
01
11
10
01
10
10
00
10
11
01
10
10
11
11
01
00
00
11
10
10
11
00
00
00
00
00
10
10
00
10
11
00
00
10
10
10
00
10
10
00
00
01
01
10
10
10
00
10
10
10
00
10
00
00
11
10
10
11
00
10
00
01
10
11
11
00
01
10
00
00
11
10
00
00
10
10
01
00
10
01
10
10
00
11
00
00
00
00
01
10
10
11
10
01
11
10
01
01
10
11
10
00
00
00
11
10
10
10
00
00
00
00
11
10
01
00
11
01
10
11
00
10
01
11
01
00
10
11
00
11
10
00
00
10
00
10
00
00
00
10
11
10
10
10
10
11
00
00
01
00
00
01
10
11
10
01
10
00
00
11
00
10
10
00
11
11
10
11
00
01
10
01
10
00
10
00
00
10
01
01
10
00
10
00
00
10
11
00
10
10
00
00
11
10
00
01
10
11
00
10
10
10
01
00
00
10
11
00
00
00
01
10
10
01
01
10
11
01
10
00
11
10
01
10
11
11
00
00
10
11
00
00
00
01
00
10
10
10
01
10
10
01
10
01
11
00
10
10
00
01
10
11
01
00
10
01
01
11
00
01
01
10
00
00
10
10
00
00
11
01
10
10
00
11
00
10
10
10
00
01
11
00
01
11
00
10
10
00
00
10
11
01
10
10
01
10
01
10
00
10
11
10
11
10
00
01
00
01
10
11
01
00
11
10
01
00
10
00
00
00
11
00
11
10
00
00
00
10
01
00
11
11
00
00
10
00
00
11
01
00
00
10
10
00
11
10
00
00
00
10
10
00
10
10
01
11
11
00
00
10
00
01
11
01
01
00
00
11
00
01
11
10
00
00
01
01
10
10
10
10
00
10
11
00
00
00
11
10
00
10
10
11
00
10
11
10
01
00
10
11
10
11
11
01
10
10
01
00
11
01
00
00
10
10
00
01
11
01
11
10
01
00
11
00
01
11
10
01
00
00
10
00
01
10
10
11
10
00
01
00
00
10
00
10
01
01
10
00
10
00
00
10
10
01
00
10
10
11
00
00
00
10
00
10
01
10
10
01
10
00
10
00
01
00
00
11
10
10
00
00
00
11
11
11
11
00
11
10
01
01
10
11
00
10
11
00
10
00
00
00
10
00
11
11
00
11
11
10
01
11
01
10
11
10
11
00
00
10
10
00
00
01
10
00
00
00
00
00
10
10
10
00
10
00
10
00
11
10
10
01
10
00
01
00
10
00
01
00
01
10
00
00
10
10
11
11
01
00
11
00
00
00
01
10
11
00
00
11
00
11
11
00
00
10
11
01
11
00
10
10
10
10
00
00
11
10
10
10
00
10
11
10
00
10
00
01
01
01
10
10
11
10
00
11
00
00
10
01
00
00
01
10
00
10
10
10
01
11
11
10
00
01
10
11
11
01
01
10
11
10
10
10
00
00
11
11
00
10
10
11
01
10
10
10
00
10
10
00
00
00
00
10
01
10
10
00
11
00
00
10
11
00
01
01
10
10
10
00
01
00
10
01
00
01
11
10
00
10
00
00
01
10
10
01
00
11
11
01
01
01
00
00
10
10
01
00
10
10
10
01
00
10
10
00
00
10
00
10
10
00
01
00
00
11
10
11
00
10
00
10
00
00
10
00
01
11
00
00
01
00
00
01
01
11
11
00
10
00
10
01
10
11
00
01
01
10
00
10
11
01
11
10
00
00
11
01
00
11
10
01
00
10
00
10
01
00
10
11
10
01
10
10
00
00
10
00
00
11
01
01
01
00
00
00
10
10
00
00
11
00
10
00
00
10
10
10
01
10
00
10
00
00
10
00
10
10
10
00
00
00
11
01
11
10
01
11
00
10
10
11
00
01
11
00
01
10
00
00
11
10
01
00
10
01
10
10
01
10
10
00
00
10
10
01
00
10
00
01
11
10
00
10
11
01
00
11
00
00
00
10
01
10
10
01
10
01
10
01
00
10
00
10
10
00
00
10
11
01
00
00
10
10
00
01
00
11
10
11
00
11
10
01
10
10
10
01
10
11
10
00
01
00
01
00
10
00
11
11
00
10
10
10
11
00
00
10
10
00
10
00
01
11
10
00
10
10
10
10
00
01
10
11
11
01
00
00
11
10
10
00
10
11
00
11
01
10
10
10
00
11
10
01
10
01
10
10
01
00
11
10
10
00
11
01
01
01
10
10
00
10
00
00
10
01
11
11
10
11
10
00
00
00
10
11
10
01
00
10
01
11
00
10
00
01
00
01
11
10
01
01
00
10
00
01
01
10
11
10
10
00
10
11
00
00
01
01
00
10
00
00
00
11
01
00
01
01
10
01
11
10
11
10
00
10
00
00
00
00
10
01
00
01
10
10
10
11
10
01
10
10
10
10
10
00
00
10
01
10
11
11
11
01
10
11
00
01
10
10
10
00
00
10
01
10
11
10
10
00
01
01
00
10
10
10
00
11
10
01
01
10
00
10
00
11
10
01
11
00
10
00
10
00
01
10
11
00
11
01
10
11
00
10
10
00
00
00
10
10
10
01
11
10
01
01
01
00
01
10
00
01
00
10
00
01
10
10
01
10
11
01
00
11
00
11
11
00
00
11
10
00
11
10
00
00
10
01
10
01
11
10
10
01
01
11
11
00
10
10
10
11
01
01
11
00
11
00
00
10
11
00
00
10
11
10
11
00
10
10
10
00
00
00
10
00
00
10
00
11
00
10
00
10
00
01
10
11
00
00
11
10
11
11
01
01
10
00
00
10
10
00
10
11
01
10
11
00
11
10
00
11
10
00
00
11
10
01
10
10
10
01
00
11
10
00
01
10
00
00
10
10
10
10
00
10
00
10
11
00
00
10
10
00
10
00
01
10
11
01
11
10
00
00
01
10
10
00
01
10
01
10
00
00
01
00
10
00
11
01
00
10
10
00
00
00
10
10
00
11
10
01
01
00
10
00
10
00
01
10
01
10
10
10
00
10
10
11
00
10
01
10
00
10
01
10
00
10
01
00
00
10
10
01
00
10
11
10
00
01
00
11
01
10
00
00
10
10
10
01
01
10
11
10
11
10
00
01
11
00
11
01
00
00
00
10
10
00
10
11
00
00
10
00
00
11
11
11
11
10
00
10
01
00
11
00
01
10
10
01
11
00
01
10
00
10
10
00
01
10
10
10
00
10
00
10
11
10
00
00
10
10
10
01
00
10
10
10
00
10
00
00
01
01
00
01
10
00
11
00
11
10
11
11
01
01
10
00
00
10
01
00
11
11
01
00
11
00
00
11
11
10
11
10
00
00
01
00
11
10
11
00
00
00
10
00
00
10
11
10
00
10
00
11
11
00
10
00
10
00
11
00
10
01
00
10
11
00
00
10
00
00
11
01
11
01
01
01
11
00
10
10
11
00
00
11
01
11
00
00
10
10
00
00
10
00
01
10
10
10
10
10
01
10
10
00
00
00
00
00
10
10
00
00
10
01
10
10
10
10
11
10
10
00
00
10
11
11
10
01
00
10
10
00
00
10
10
00
10
01
11
00
11
11
10
00
00
10
10
00
00
00
11
10
10
00
01
00
10
00
11
00
00
10
10
01
01
01
11
11
11
10
10
00
00
10
10
10
00
01
10
10
10
11
10
11
10
00
00
01
00
11
01
00
11
00
01
00
00
10
10
01
01
00
11
00
10
10
01
00
01
10
10
10
11
10
00
01
10
10
00
00
01
00
10
11
10
01
10
10
01
01
10
10
11
00
01
00
11
00
11
01
10
00
00
10
10
01
00
11
10
00
01
10
00
00
10
11
10
01
01
10
10
10
01
01
10
10
00
00
10
00
00
11
01
00
11
11
11
00
10
11
10
10
00
01
10
11
00
00
10
10
10
11
01
00
00
10
01
00
10
10
00
10
00
01
11
00
01
01
01
10
01
01
01
01
11
10
11
11
01
00
10
10
11
10
01
10
10
00
10
10
00
00
10
00
10
00
11
10
10
00
00
01
00
10
10
10
01
11
00
01
01
00
00
10
10
00
00
10
00
10
01
10
10
00
00
00
10
00
10
10
10
00
11
00
00
10
10
00
00
10
01
10
11
11
01
00
10
11
00
11
10
01
00
01
10
10
00
01
11
10
00
00
10
10
11
01
00
10
00
00
10
01
01
00
00
10
11
11
00
11
11
01
11
00
00
01
10
10
00
11
11
10
00
01
10
10
01
00
10
10
01
10
10
00
00
00
00
00
00
11
00
10
10
11
00
11
10
11
10
11
01
10
00
01
11
10
10
00
01
11
00
00
00
10
11
10
00
10
10
01
11
01
00
11
10
11
11
10
10
00
11
11
10
00
00
10
10
00
00
00
11
11
11
10
00
11
00
10
10
10
00
10
10
00
00
01
10
01
10
11
00
00
00
10
10
00
00
10
01
10
10
01
00
01
11
10
01
00
10
11
00
00
10
10
01
10
11
00
00
11
00
11
10
10
01
10
00
11
01
00
11
00
11
00
01
10
00
10
10
01
01
01
01
00
11
10
10
00
10
01
00
10
10
10
01
00
00
11
10
00
01
10
10
01
00
11
11
10
00
01
10
01
10
10
00
10
01
01
11
10
00
10
10
10
00
00
10
01
10
00
10
10
01
01
10
10
00
00
10
11
01
10
10
01
00
00
10
10
00
00
10
00
01
10
11
00
10
10
10
01
01
01
11
10
01
00
10
00
10
10
00
01
00
00
11
11
00
10
10
01
11
10
01
00
00
10
00
10
10
01
10
11
01
10
00
10
00
00
11
10
11
11
00
01
00
10
00
10
10
00
01
10
10
00
00
01
00
10
10
00
00
10
01
01
00
00
00
10
00
00
10
11
10
00
10
10
00
00
00
10
01
10
11
00
00
10
01
11
00
11
10
10
00
00
10
10
11
01
00
00
01
01
00
10
10
10
10
00
00
10
10
10
10
01
11
01
10
00
00
00
01
11
10
00
10
00
00
01
10
10
00
10
11
10
10
00
00
00
00
10
11
11
10
00
00
00
10
11
00
00
11
11
11
11
00
11
11
10
10
01
00
10
11
00
10
01
10
01
01
10
00
11
00
01
01
00
10
00
01
10
10
10
01
00
00
11
10
11
10
11
11
10
01
00
10
11
10
01
10
10
00
00
01
10
00
01
10
11
10
01
00
11
11
10
10
10
00
10
00
00
00
00
10
00
00
10
01
11
10
01
00
00
01
00
10
10
10
10
00
01
00
01
11
00
10
01
10
10
11
00
00
10
10
01
00
00
11
10
01
10
00
01
00
10
11
00
11
01
01
01
10
10
10
10
00
00
10
00
00
11
01
10
11
10
11
10
11
00
10
11
01
11
10
11
00
01
00
00
11
00
00
11
10
00
00
01
10
11
10
11
11
10
00
01
11
00
10
10
00
01
11
10
01
10
10
00
01
00
11
11
01
10
01
00
11
00
00
10
10
00
00
00
11
10
00
10
11
11
01
11
00
01
10
00
10
10
00
00
10
11
10
11
10
01
10
01
00
01
01
10
10
00
10
01
10
10
10
11
00
00
00
10
10
00
10
01
00
10
00
00
00
00
11
10
10
11
00
00
11
10
10
10
00
10
11
10
00
00
00
00
01
11
10
00
10
11
10
10
01
00
11
00
00
10
00
01
00
00
11
00
00
10
00
00
10
11
10
10
00
01
00
01
00
00
00
11
10
00
10
10
11
01
11
10
00
00
01
00
00
00
11
01
10
01
00
10
10
01
00
10
11
01
00
01
00
10
10
00
10
10
01
00
00
10
01
01
10
01
10
00
00
00
00
11
10
10
00
10
10
00
10
00
10
10
10
00
10
10
11
00
00
10
11
11
01
10
00
10
00
10
10
10
00
00
00
01
01
00
11
00
01
10
00
10
10
10
10
10
01
00
10
00
11
00
10
01
11
10
10
11
00
00
00
00
10
10
00
00
10
11
00
10
11
01
11
00
10
10
00
00
11
00
00
01
10
01
00
01
10
11
00
00
00
10
10
00
00
10
00
01
10
01
10
00
00
01
10
00
00
10
01
10
10
10
01
00
00
10
00
01
01
00
11
01
00
11
11
00
00
10
10
01
00
11
10
00
00
10
11
10
11
01
01
10
10
01
11
00
01
01
10
11
10
00
10
10
00
10
00
11
10
01
00
00
10
00
00
10
00
10
10
01
10
00
10
10
10
10
11
00
00
00
10
00
11
10
00
10
10
01
01
01
11
10
01
00
00
11
01
00
11
11
10
00
00
10
11
01
01
01
10
10
10
00
10
11
11
01
10
00
10
11
00
01
10
11
10
01
10
10
01
00
00
00
11
11
00
00
01
11
00
00
11
00
01
00
10
10
10
00
00
10
10
00
10
10
10
00
10
10
00
11
10
11
00
01
10
01
10
01
01
10
10
00
10
10
11
00
00
00
10
01
10
01
11
10
11
10
10
10
01
01
01
00
10
10
00
10
00
01
10
01
11
00
01
11
11
01
00
10
10
00
01
10
00
00
11
10
00
00
10
11
01
10
10
01
10
11
10
01
01
10
10
01
01
11
10
00
00
00
10
10
01
01
00
10
01
10
00
00
10
11
10
01
10
10
00
00
10
00
00
11
00
11
00
00
00
00
10
00
01
10
10
10
10
10
00
10
01
01
10
00
10
00
11
00
00
10
10
00
01
10
10
00
00
10
00
10
00
00
10
10
10
11
01
11
01
00
00
01
10
00
11
11
11
10
00
10
01
00
10
11
01
00
11
11
00
11
01
00
10
11
11
11
00
00
01
11
11
10
01
00
11
00
10
11
10
10
10
01
00
10
01
00
01
10
01
00
00
10
10
00
00
00
10
00
10
11
00
01
00
10
01
00
10
10
01
00
10
11
01
10
11
10
10
11
00
00
00
00
00
00
10
10
10
10
10
00
00
11
10
01
00
10
10
01
10
10
10
00
11
11
00
00
01
01
00
01
10
10
10
00
00
10
10
00
10
01
00
10
10
10
00
00
00
00
11
10
00
00
11
10
00
00
00
11
10
00
00
00
00
00
10
00
10
01
11
01
00
10
00
10
00
01
10
11
01
00
00
01
00
00
00
10
10
10
00
10
00
00
11
00
11
00
10
10
00
10
10
10
00
10
11
00
11
11
01
01
01
01
00
00
01
00
10
10
00
00
11
10
00
01
01
10
10
11
10
10
00
11
00
10
10
00
00
00
00
10
11
00
10
01
10
11
01
00
10
01
00
10
11
01
00
10
10
10
00
00
00
10
11
00
10
10
01
11
01
00
10
00
00
10
10
10
01
10
11
01
11
00
10
10
00
10
00
00
10
10
11
00
10
11
10
01
11
10
10
01
00
00
10
10
10
00
11
11
00
10
00
00
11
10
01
11
10
00
00
11
11
00
00
00
01
00
01
10
11
11
01
00
11
00
01
10
00
00
01
10
11
01
10
00
00
10
11
00
10
10
01
00
10
00
01
00
11
11
01
10
11
01
01
01
10
11
00
11
11
00
00
10
10
00
00
10
01
00
11
11
10
10
11
01
01
01
10
01
00
11
10
00
01
10
11
10
10
00
11
10
10
00
00
01
10
00
01
00
01
10
00
10
00
01
10
00
00
01
10
00
10
11
11
00
00
00
01
11
10
10
00
10
01
00
10
10
10
00
00
10
10
00
11
10
01
00
10
11
10
11
01
00
10
10
10
10
00
01
10
00
00
10
00
10
11
00
00
10
10
00
11
10
00
00
01
00
00
00
10
10
10
10
00
10
10
01
01
11
00
10
10
00
00
10
11
11
11
10
10
00
01
10
01
00
11
10
10
00
00
00
10
10
10
00
11
11
01
10
10
10
00
00
10
10
01
10
01
10
10
11
10
10
01
00
10
01
10
10
11
00
00
01
11
11
00
00
01
10
11
00
10
10
11
10
01
11
00
11
01
10
01
00
00
11
10
01
10
11
00
10
11
10
00
00
10
00
10
10
10
00
00
00
01
00
00
11
00
00
00
10
10
00
01
01
10
10
00
10
01
11
10
10
10
00
00
10
11
00
11
00
00
10
00
00
01
10
10
00
10
00
10
11
00
00
10
01
01
11
10
10
10
11
01
00
10
10
10
00
11
10
01
01
01
00
00
10
11
11
00
00
10
00
11
11
10
00
11
00
00
10
10
11
01
11
00
00
11
00
10
10
10
10
10
00
00
10
11
11
00
10
00
10
00
00
11
00
11
01
11
00
10
10
11
00
01
10
11
00
00
00
01
11
00
11
10
11
10
00
10
01
11
01
10
10
00
10
10
00
01
10
00
00
10
11
10
11
10
01
10
10
10
11
10
00
10
11
11
10
10
00
11
10
11
01
01
10
00
01
00
10
10
11
00
01
01
10
00
00
10
10
11
00
00
11
10
00
11
00
11
00
01
10
00
01
00
00
10
10
10
00
01
10
00
00
10
00
10
10
00
01
00
01
01
10
10
10
01
01
10
00
10
11
01
10
01
11
11
10
10
01
10
11
01
00
10
00
00
00
10
10
01
00
10
11
11
11
00
00
01
11
00
10
10
10
01
00
11
00
10
00
10
10
10
00
00
00
00
10
00
00
10
10
10
00
00
00
10
10
00
01
10
01
01
11
10
10
10
10
01
01
01
11
10
00
00
10
00
10
11
01
00
00
00
10
00
11
01
10
01
10
10
01
00
10
10
01
11
11
10
01
10
00
01
00
10
10
00
11
00
10
00
00
10
00
10
00
10
00
01
00
00
01
10
01
01
00
10
00
11
11
00
10
10
01
10
00
00
00
01
10
10
11
00
00
11
01
00
01
10
11
10
10
00
00
00
11
10
00
11
11
10
11
10
00
10
11
10
11
01
00
10
00
10
10
00
01
10
11
10
01
00
11
00
00
00
00
10
10
01
10
00
10
00
00
00
00
11
10
00
00
01
01
10
00
00
01
00
10
10
10
11
10
00
00
00
00
11
11
01
11
10
00
10
00
01
10
00
01
11
10
01
00
00
01
11
10
10
00
00
10
11
01
10
10
10
11
11
01
01
01
00
10
00
10
00
01
10
00
00
10
00
00
11
10
11
10
01
00
11
11
00
00
00
01
11
11
01
10
10
10
11
00
00
10
11
00
01
00
01
10
10
11
00
10
00
10
10
10
00
10
11
00
10
01
00
00
11
10
00
10
01
10
11
10
00
10
10
11
01
00
11
00
00
10
01
01
10
10
00
10
10
00
00
10
10
11
10
00
01
00
10
11
00
00
10
10
00
10
10
10
10
00
00
00
10
11
10
00
10
00
00
10
10
01
10
10
01
00
11
01
11
11
00
10
10
10
01
10
01
00
11
10
10
01
00
00
10
10
00
01
10
00
00
10
11
00
01
10
11
01
00
01
00
10
00
00
10
10
00
00
11
10
10
11
11
11
01
01
11
01
11
01
10
10
00
11
11
01
01
11
11
10
10
10
00
01
10
10
01
00
00
10
00
11
00
10
10
00
00
11
00
11
10
10
00
00
00
00
11
10
10
10
10
01
10
10
01
10
11
00
00
10
10
00
00
10
00
10
11
00
01
00
01
00
01
10
11
10
10
00
00
01
10
01
10
10
10
00
10
10
11
01
01
11
00
00
10
11
00
00
10
11
01
01
11
00
10
11
01
11
11
00
00
01
10
11
11
01
00
10
11
01
00
10
00
00
00
00
11
10
00
00
10
00
00
11
01
00
11
10
10
00
10
10
11
00
10
10
10
11
01
10
00
11
00
10
00
00
10
10
01
00
00
01
00
10
00
01
10
00
00
00
01
10
00
00
10
00
10
11
00
01
11
00
01
10
11
11
00
11
01
11
10
11
10
00
10
10
01
01
00
00
10
10
10
00
10
11
00
00
11
10
01
11
10
10
10
00
11
10
00
00
10
10
10
10
00
01
11
00
01
10
11
00
10
00
01
10
10
01
01
10
11
10
11
01
01
10
00
10
11
00
00
11
11
11
01
11
10
11
10
00
11
00
01
10
10
00
11
00
00
00
10
11
10
00
10
01
01
11
10
10
00
01
11
11
11
01
00
10
01
00
01
10
00
01
10
10
01
11
11
01
00
10
10
11
00
10
10
00
00
00
11
00
00
00
00
10
00
00
00
10
10
10
11
11
01
01
00
11
11
00
00
10
10
01
00
10
10
10
10
10
00
00
10
11
11
11
10
10
10
00
10
10
11
00
00
01
10
01
01
10
10
00
01
10
10
00
11
01
00
10
00
01
11
10
00
01
10
00
00
00
01
10
10
11
00
01
10
01
10
00
00
11
10
00
01
10
10
01
00
11
10
01
00
00
00
10
10
10
10
00
11
10
10
00
11
00
00
00
00
10
00
11
01
10
01
11
11
11
10
00
00
10
00
11
11
10
00
00
11
00
01
10
11
01
10
11
00
10
10
11
00
10
01
10
10
00
11
10
01
10
00
01
10
00
00
10
11
11
10
01
10
10
10
00
01
00
11
00
00
00
01
00
11
11
00
10
10
01
11
00
01
10
00
00
10
00
01
11
00
00
10
00
00
00
00
10
10
11
10
00
10
00
10
01
10
10
10
10
00
10
00
01
10
11
00
10
11
01
01
01
00
11
00
01
10
11
01
01
11
10
10
01
00
10
11
00
00
11
11
00
00
11
10
00
01
10
01
00
11
11
01
01
10
10
00
00
10
00
00
01
01
11
00
01
01
11
10
00
00
00
10
10
01
10
00
10
00
10
10
00
11
01
00
00
10
10
01
00
10
00
00
10
00
00
01
00
11
10
11
01
10
00
10
10
00
00
11
00
11
10
01
00
01
00
01
11
00
00
10
10
00
00
10
10
10
10
00
00
00
01
00
11
10
00
10
01
10
11
00
00
00
10
01
11
00
11
10
01
00
10
00
00
10
10
10
10
00
10
00
00
11
01
00
00
00
01
10
11
10
01
01
10
10
10
11
01
10
00
00
00
00
00
11
10
01
00
01
10
11
10
00
00
10
00
00
11
10
10
10
11
01
10
10
00
11
00
10
10
10
00
00
10
10
01
10
10
01
01
10
01
00
10
01
00
11
00
10
00
10
01
10
10
10
11
10
11
10
00
00
00
00
10
11
01
10
00
01
11
01
10
11
01
10
00
00
11
10
10
10
00
01
10
01
10
01
00
10
00
00
01
10
10
01
10
10
10
10
10
00
11
10
10
11
01
00
10
00
01
01
11
10
01
10
00
01
10
01
01
00
10
10
00
01
01
11
11
10
00
00
11
10
11
00
01
10
00
01
10
10
00
01
11
00
11
00
01
10
10
10
10
11
00
11
10
10
00
10
10
10
00
00
00
10
00
01
10
10
01
00
01
00
10
11
10
00
01
10
10
10
10
10
11
01
10
00
01
00
00
10
01
10
11
01
10
01
10
10
00
00
10
10
01
00
01
01
10
00
10
00
01
01
11
00
00
10
11
10
00
00
11
01
01
01
00
00
11
10
10
10
00
10
10
01
00
10
01
11
10
00
11
00
10
10
10
01
10
10
00
10
10
01
00
01
10
01
00
00
10
10
01
01
10
10
00
01
01
11
00
00
10
10
00
00
10
10
01
00
11
00
01
00
10
01
10
00
00
00
10
00
11
10
00
00
11
00
01
10
00
11
00
10
10
01
00
10
10
00
10
10
10
10
01
00
01
00
00
10
10
01
00
00
10
11
00
01
10
11
00
01
01
00
10
11
10
10
10
01
00
10
11
10
00
10
01
01
10
00
00
10
11
10
11
10
00
10
00
10
00
00
11
10
00
00
01
00
00
01
11
10
10
11
00
00
10
00
00
10
10
00
01
10
00
01
10
00
11
01
00
10
10
11
10
01
00
01
00
01
10
10
01
01
10
00
10
10
01
01
00
11
11
00
10
00
00
00
00
01
00
11
01
11
10
00
10
10
10
01
00
11
10
10
10
10
10
10
00
01
11
00
00
10
11
00
10
10
10
10
00
10
00
00
10
11
00
10
11
00
10
01
10
11
01
00
11
10
10
00
01
10
10
00
01
00
10
00
11
10
10
01
10
00
01
00
10
00
00
11
00
01
00
00
10
01
10
11
00
10
00
00
00
10
10
00
10
10
10
00
00
00
00
00
00
00
00
11
01
01
11
10
00
00
10
00
01
10
10
00
11
00
10
11
01
10
00
10
01
10
00
00
00
11
10
00
01
11
01
10
10
00
11
10
00
01
10
11
00
10
11
11
00
11
10
00
10
10
10
01
10
10
00
11
00
10
01
00
01
10
10
00
01
11
00
00
10
10
10
01
11
10
11
10
11
10
00
11
10
00
10
00
00
00
11
01
01
10
00
00
10
01
00
01
10
10
11
10
10
11
10
00
00
10
01
11
01
10
11
11
10
10
10
01
00
00
11
10
10
10
10
01
00
01
00
10
11
10
00
10
01
00
10
10
00
10
10
01
01
00
00
00
01
10
10
10
10
10
10
10
01
10
11
00
11
01
01
10
10
00
11
11
00
01
00
00
10
01
01
00
10
10
11
10
00
01
10
10
11
10
00
01
00
10
10
01
11
01
01
00
00
00
10
10
00
11
10
00
00
11
11
10
01
00
11
11
00
10
11
00
01
00
01
00
10
10
11
10
01
10
11
00
00
00
11
00
00
10
10
10
10
11
01
00
11
10
10
01
00
00
10
11
01
01
01
10
01
10
10
10
00
00
11
11
01
10
11
00
11
11
00
00
00
10
10
10
00
00
10
10
01
11
11
11
10
00
10
00
10
00
00
10
00
00
00
10
00
11
11
00
11
01
01
00
10
00
00
00
10
10
00
00
00
10
11
00
00
10
01
10
11
00
10
01
00
01
11
01
01
00
01
11
10
00
11
11
00
00
00
10
00
01
10
00
11
00
00
01
10
10
00
00
00
10
00
00
11
10
00
01
10
00
00
00
10
11
00
00
00
10
10
10
00
10
10
11
00
01
01
01
10
10
11
10
00
00
00
10
00
01
00
00
10
11
01
01
10
01
10
10
00
11
10
01
10
11
00
01
10
10
11
01
10
10
10
01
10
10
01
10
00
11
11
00
01
11
01
10
10
01
10
10
00
01
11
01
10
10
00
10
00
10
10
00
00
11
00
10
00
01
00
01
00
10
10
10
01
00
00
10
10
00
00
10
10
00
11
11
00
01
01
00
01
00
00
11
00
00
01
00
10
10
00
11
11
00
00
00
11
11
00
11
00
11
10
00
01
10
01
00
11
00
00
10
10
00
00
00
10
10
10
10
00
01
00
00
01
01
00
11
00
00
00
10
10
11
00
01
10
11
10
10
00
10
00
00
00
10
10
00
00
00
01
11
10
11
11
00
11
10
00
01
00
10
11
00
00
01
11
00
00
11
00
11
00
11
11
10
01
00
00
10
10
00
10
00
10
10
10
00
01
10
00
10
10
11
11
01
11
10
01
01
01
10
00
01
10
10
00
10
10
10
10
10
10
01
01
01
00
10
00
00
00
10
00
00
10
01
00
10
10
00
01
00
10
10
11
00
01
00
10
10
11
00
00
11
10
10
10
00
10
11
00
00
11
10
00
11
10
00
10
01
11
10
00
10
11
10
01
00
00
10
10
00
11
00
00
10
00
10
01
10
10
00
01
10
00
10
11
00
00
10
10
00
00
00
00
10
11
00
11
11
00
10
00
01
00
01
10
01
01
10
00
01
10
10
10
00
10
11
10
00
00
10
10
10
01
00
00
10
10
10
00
01
10
10
01
00
10
00
11
11
01
00
00
00
10
11
10
00
11
01
00
01
11
01
11
10
01
00
10
11
00
01
00
10
10
11
11
10
01
10
11
00
11
11
01
00
01
00
10
00
10
00
00
10
00
01
11
10
00
11
00
01
00
10
00
10
11
10
00
01
00
11
10
01
10
10
00
00
00
11
00
10
00
10
10
10
10
00
00
10
01
11
00
10
01
11
00
11
01
10
00
01
10
01
10
00
11
11
01
00
10
10
01
00
10
10
01
00
11
01
00
00
00
00
11
10
10
10
01
00
10
10
10
00
11
00
01
11
10
10
00
01
10
00
01
00
00
01
11
10
00
11
11
00
00
00
01
10
10
00
11
11
00
10
01
10
11
10
10
10
01
10
01
01
11
11
11
01
00
01
11
01
00
10
10
00
10
10
10
10
11
00
01
10
11
00
00
10
01
00
10
01
00
10
11
00
00
10
10
10
10
10
00
00
11
11
00
10
00
10
00
11
10
00
00
00
10
11
10
11
10
00
10
11
00
11
01
00
00
10
00
10
00
00
10
10
00
10
01
01
00
00
11
11
10
10
00
00
11
10
01
00
00
01
00
11
10
11
10
10
10
00
01
00
01
10
01
10
00
00
10
10
10
00
00
01
10
00
10
11
00
01
00
10
11
11
00
00
10
00
01
10
10
01
01
10
00
11
10
00
10
01
01
11
10
10
11
11
00
10
10
00
11
01
01
11
00
00
00
10
00
11
11
00
10
00
00
10
00
01
01
10
00
01
10
10
00
11
00
11
10
01
00
00
00
11
01
00
00
10
10
00
00
10
10
10
00
00
01
11
00
00
11
11
00
00
10
00
10
00
01
10
00
01
00
10
10
01
00
01
00
10
10
11
01
11
01
00
01
01
10
10
10
01
00
10
00
10
00
10
10
00
10
10
11
00
01
11
01
10
10
10
10
01
01
00
10
10
10
01
11
11
10
11
00
01
01
11
11
01
00
10
00
00
11
01
00
11
11
01
10
10
10
11
00
00
00
10
01
10
10
00
11
10
00
01
00
10
10
00
00
00
11
10
10
01
11
10
11
10
00
00
10
00
10
11
01
00
00
11
01
00
10
10
11
10
01
00
00
11
10
00
10
00
00
11
00
01
10
11
11
00
10
00
10
10
00
00
11
10
01
01
11
00
01
10
10
00
01
10
10
00
10
10
10
01
01
00
10
10
00
10
00
11
11
10
10
00
10
01
00
10
00
00
00
10
10
01
10
10
00
01
00
10
01
11
10
10
01
10
01
00
11
10
00
10
00
11
01
00
10
10
00
10
00
11
11
01
00
00
00
10
00
10
11
01
10
01
00
00
10
11
00
10
10
00
01
11
00
00
10
00
00
10
01
11
11
00
10
10
00
11
10
11
00
00
10
01
01
10
11
10
11
11
00
10
11
01
01
10
10
11
11
11
00
00
11
00
00
00
00
00
10
10
00
11
11
11
01
00
10
00
00
00
10
10
01
10
00
10
00
10
00
01
00
00
00
00
01
10
11
00
10
10
10
10
00
00
11
11
00
10
01
00
00
10
10
10
01
00
00
00
00
10
10
01
00
10
10
10
11
10
01
00
11
00
01
11
10
10
00
01
00
10
10
10
00
00
00
11
01
00
10
11
10
11
01
01
00
10
00
10
10
10
10
00
00
00
01
01
01
10
01
00
11
00
01
11
10
00
00
00
11
10
00
00
11
11
01
10
01
01
10
10
01
01
11
00
01
10
01
01
10
00
00
00
10
11
10
10
00
01
10
11
10
10
11
00
00
01
00
01
01
10
10
00
01
01
00
10
10
11
00
01
10
10
00
10
11
01
10
10
01
11
10
11
10
00
00
11
10
01
00
11
00
01
10
10
10
00
01
10
00
00
01
10
10
10
01
10
10
00
10
11
01
10
01
01
01
11
01
00
10
10
00
00
10
10
01
00
11
10
00
00
01
11
00
11
00
00
01
01
01
01
10
10
00
11
11
00
00
10
10
00
00
11
01
00
10
11
00
01
00
11
11
00
01
01
00
11
10
01
10
10
11
10
01
00
10
10
01
11
11
00
00
10
11
10
00
01
10
00
00
00
10
10
10
00
10
10
01
11
11
10
11
00
00
11
10
10
00
10
10
10
10
00
11
00
10
10
00
10
10
00
00
10
10
10
10
11
00
00
10
01
11
01
00
10
11
10
10
00
10
10
01
01
01
10
00
10
00
00
10
00
00
11
01
00
00
00
10
10
10
11
10
10
00
01
10
00
11
00
00
10
01
00
00
10
00
11
00
00
10
00
10
01
11
00
10
10
01
10
10
10
10
00
10
00
00
01
10
11
00
00
01
10
01
10
01
00
11
00
10
11
11
01
10
10
00
10
00
01
11
11
10
11
00
10
00
10
01
01
10
00
00
10
00
00
01
10
11
00
10
01
11
00
10
10
01
01
11
00
00
10
00
00
11
01
00
01
10
10
00
00
11
10
11
00
10
01
10
01
01
00
10
00
01
01
01
10
00
00
01
10
11
10
11
10
00
00
10
01
00
01
11
00
00
10
00
01
11
10
00
00
00
10
10
11
11
10
01
00
00
00
00
10
10
00
01
01
11
10
10
10
00
10
10
00
11
10
00
10
10
00
10
01
00
00
11
01
10
10
10
01
00
11
11
00
00
00
10
10
00
01
00
11
10
11
00
10
00
00
00
00
10
11
01
10
11
00
00
11
01
10
01
01
10
11
00
01
10
11
10
00
10
10
11
00
00
10
11
10
10
11
00
00
01
10
01
10
10
00
10
10
00
10
10
01
11
10
01
00
11
00
11
00
01
00
10
00
01
00
11
11
10
00
10
00
01
00
10
10
10
10
11
10
00
01
10
01
00
10
10
01
00
10
10
00
00
10
10
10
10
10
01
11
10
11
10
11
00
11
11
01
11
11
11
00
11
10
10
11
00
01
11
10
01
00
10
01
10
10
01
11
00
00
10
10
00
01
11
10
10
00
01
00
11
01
10
11
11
10
10
10
00
10
00
00
00
11
10
10
10
10
00
00
00
10
10
00
10
01
11
11
00
01
00
11
00
11
00
00
10
00
10
11
11
00
10
10
00
00
10
10
00
10
00
10
10
00
00
00
10
00
01
00
01
11
00
00
11
00
00
11
10
10
10
11
11
00
01
01
10
10
00
01
10
10
00
00
00
10
01
10
00
00
00
10
00
00
10
00
10
01
00
10
10
10
10
10
01
01
10
00
11
00
11
01
00
10
10
10
00
10
10
00
10
10
11
11
00
10
10
10
10
10
00
10
10
00
00
10
01
00
01
00
10
00
00
01
10
00
00
10
01
10
00
01
10
11
00
01
11
11
01
01
00
10
00
00
10
10
00
10
10
01
01
11
01
00
00
00
11
00
00
00
10
11
10
10
10
10
01
10
11
00
00
10
10
01
11
10
10
10
00
10
00
10
10
11
00
01
10
10
00
11
00
10
00
00
10
00
00
11
10
00
01
00
00
10
11
00
01
11
00
00
00
11
10
10
00
10
11
11
01
00
10
10
01
01
00
01
11
00
11
00
01
10
00
10
01
00
11
00
00
01
01
00
00
01
10
11
00
10
10
01
00
01
00
10
10
01
01
01
10
11
11
01
00
00
11
11
00
00
10
11
11
11
11
01
00
01
10
00
00
01
10
10
10
00
11
00
11
10
01
10
11
10
00
00
10
00
00
00
10
10
00
10
11
01
01
01
00
11
10
10
01
00
10
10
00
01
11
10
11
00
11
00
00
10
10
00
01
00
01
10
10
11
00
01
11
10
00
00
10
10
00
00
10
11
00
10
10
10
10
10
10
10
01
00
11
01
00
10
00
00
00
10
10
01
10
10
00
11
10
01
11
01
01
10
00
00
10
11
10
00
01
11
11
00
10
01
00
00
10
01
00
01
11
10
00
10
10
00
00
10
10
10
00
10
10
00
01
10
10
11
10
10
00
10
00
11
10
00
01
00
11
10
10
00
01
00
10
01
00
00
10
00
01
01
11
01
10
10
11
10
11
00
10
01
00
10
00
11
10
01
01
00
10
11
00
10
00
10
10
00
00
01
00
00
10
11
10
00
01
11
10
10
00
00
00
11
00
10
11
11
10
00
00
10
10
10
00
10
11
10
10
10
01
10
10
01
00
11
11
01
00
10
00
10
01
00
01
11
10
01
11
00
00
00
10
01
00
10
11
01
11
01
01
10
01
00
00
11
00
00
11
00
11
10
10
00
10
00
00
00
01
00
10
11
10
01
00
11
10
10
10
10
00
01
10
10
10
00
00
10
00
00
00
10
00
00
10
00
10
01
10
11
10
10
01
01
01
10
00
11
01
11
00
00
11
10
10
00
10
11
10
00
01
10
10
10
01
10
01
11
01
10
00
01
11
10
00
01
00
01
10
00
11
01
00
10
10
00
10
10
00
00
00
01
00
01
11
10
01
01
11
00
00
11
10
00
00
11
11
01
11
11
10
01
00
01
10
11
00
10
00
00
00
10
01
00
10
10
11
00
11
00
00
00
10
00
10
00
11
11
11
00
11
00
11
10
10
10
00
10
10
00
01
00
01
00
01
10
01
00
10
10
00
01
00
11
10
10
10
01
11
10
00
00
00
01
00
10
10
00
01
11
10
00
01
11
00
10
10
11
10
00
00
10
00
11
10
10
10
11
10
01
10
01
10
00
01
00
10
10
10
11
00
01
00
11
11
01
10
00
00
10
10
01
11
11
11
00
00
00
10
10
00
10
11
00
00
11
00
10
01
10
10
11
00
11
11
10
00
11
00
01
10
00
10
10
00
10
10
10
10
00
11
00
00
11
11
10
00
10
10
01
10
01
00
00
11
01
10
11
00
10
01
01
10
10
00
00
10
10
00
00
10
10
11
10
10
11
01
01
00
01
01
11
11
00
00
10
10
11
00
00
10
11
00
00
10
00
11
00
11
10
10
11
01
01
01
11
11
10
00
10
01
11
10
01
00
10
11
10
11
01
01
00
00
01
11
00
10
01
00
10
10
10
10
11
10
00
00
10
10
10
00
00
00
10
10
11
10
00
10
00
00
10
11
10
10
00
00
00
10
10
00
00
00
00
11
01
00
00
11
01
10
00
11
10
01
01
00
10
10
00
10
10
00
11
00
10
10
00
00
10
11
00
00
00
11
10
10
10
10
11
00
10
00
00
10
00
10
00
01
00
11
10
10
10
00
00
10
01
00
11
00
00
00
00
10
11
10
01
01
01
11
00
00
10
10
00
00
10
10
00
00
01
01
01
10
10
11
11
00
01
01
10
01
10
01
00
11
11
11
00
00
01
11
11
00
10
01
00
10
00
01
11
01
10
00
00
11
10
00
10
10
01
01
01
11
00
00
11
10
01
00
10
10
10
10
11
00
01
10
10
01
10
00
00
10
10
01
10
01
01
01
00
11
10
11
00
01
01
11
00
00
00
10
00
10
10
01
01
11
00
01
01
01
10
10
01
00
00
01
11
10
10
00
11
10
00
01
00
10
11
00
10
01
00
11
11
00
00
11
10
11
10
11
00
10
10
00
11
10
01
11
10
00
10
11
10
11
01
00
10
00
10
01
10
01
01
00
01
01
01
10
10
00
00
10
11
11
00
00
10
00
01
10
10
11
01
00
00
10
11
10
11
00
00
10
00
10
10
00
00
00
10
10
10
00
00
10
11
00
10
00
01
01
01
10
01
00
11
10
10
00
00
10
10
10
11
10
01
00
10
00
00
10
00
01
11
01
01
11
11
10
10
10
10
00
00
10
01
00
11
00
10
11
00
01
01
00
10
01
10
00
00
10
10
11
00
00
00
01
11
01
01
10
01
00
11
00
01
01
10
00
01
00
11
00
00
10
11
11
10
00
00
00
00
11
01
11
10
00
10
11
00
01
10
00
00
00
10
10
11
00
10
00
11
11
01
11
00
01
01
01
10
00
00
10
10
01
10
11
00
11
01
10
11
00
10
00
10
10
00
01
10
10
00
00
00
01
10
00
11
10
00
11
11
01
01
10
10
11
00
11
00
10
10
10
00
11
00
10
10
10
01
00
10
10
01
10
10
01
00
01
01
10
10
11
10
10
00
10
00
00
10
00
11
00
01
11
10
10
11
10
01
10
11
00
10
00
10
01
00
10
00
11
11
11
01
10
00
11
10
00
10
10
01
11
11
00
10
10
00
01
00
00
10
11
00
00
11
00
10
01
00
00
10
10
10
11
00
00
00
01
01
10
00
00
00
00
10
01
10
00
00
10
10
01
11
01
10
10
10
00
00
00
01
11
11
11
00
00
10
10
11
10
00
00
11
00
00
11
11
10
01
10
00
00
00
11
11
10
11
10
00
00
00
11
00
10
11
10
00
00
01
10
00
10
10
00
10
00
00
01
10
00
10
00
11
00
10
00
00
00
10
10
01
11
11
00
00
11
10
00
10
10
01
01
00
11
00
00
10
01
00
01
01
10
10
01
00
10
01
00
11
10
00
00
00
00
10
00
00
00
00
10
10
01
10
01
00
10
11
10
00
10
11
01
11
00
10
01
00
00
00
01
10
11
01
10
01
10
10
10
00
01
00
11
10
00
00
10
01
10
11
10
00
00
10
10
10
00
01
00
10
01
10
10
00
11
01
11
10
10
01
11
11
00
10
01
00
00
00
10
10
00
01
00
11
00
11
01
00
10
10
00
00
00
10
01
00
01
10
10
10
11
10
01
00
10
10
00
01
10
10
10
00
10
00
10
00
11
10
10
00
11
11
10
00
11
10
01
00
10
10
01
00
11
01
01
11
10
00
11
00
00
11
01
01
11
10
10
11
00
10
01
00
11
10
01
01
01
10
11
11
10
10
00
00
00
11
10
10
00
01
01
01
00
00
10
10
00
01
00
11
01
10
10
00
00
00
10
10
10
01
10
11
01
11
10
10
11
00
10
10
01
00
00
10
11
01
00
00
10
10
00
01
00
11
11
11
10
10
11
11
00
01
00
10
10
10
00
00
00
10
10
00
10
11
10
11
11
10
10
00
00
00
00
10
00
10
10
10
01
00
00
00
11
00
11
00
10
10
01
01
00
00
10
10
11
10
11
00
00
00
10
01
10
01
00
10
10
11
00
01
00
01
11
10
00
10
00
10
00
00
10
00
00
11
10
00
00
10
01
00
10
11
00
11
10
10
00
00
10
10
10
01
00
01
10
11
00
10
10
01
00
10
01
10
11
00
10
00
00
00
00
10
10
00
00
00
01
10
11
10
01
00
01
01
11
01
00
00
01
00
11
11
11
10
10
00
00
10
11
01
00
11
00
10
11
10
01
00
10
01
00
11
10
10
00
00
00
10
00
00
10
11
01
11
10
00
01
00
10
11
00
01
11
10
01
10
01
00
11
10
01
10
10
10
10
10
10
01
01
00
11
10
00
00
10
10
00
00
11
10
11
01
10
00
10
00
11
11
11
00
01
10
10
00
10
10
01
00
10
10
01
00
00
00
01
10
01
01
00
10
00
00
10
10
10
00
11
11
00
11
10
00
10
01
01
10
01
10
00
00
10
01
11
10
10
01
00
00
00
10
10
01
00
10
10
11
00
10
10
00
11
10
01
10
10
11
10
11
10
11
00
10
01
10
10
00
00
10
00
10
00
10
10
01
10
10
00
10
01
00
00
10
10
01
11
10
00
01
11
10
10
01
11
10
10
01
01
10
11
10
11
00
00
10
00
11
00
10
10
00
10
10
11
11
00
01
11
11
10
10
01
00
10
11
01
10
10
11
00
00
11
00
01
11
00
01
10
00
10
00
00
00
10
11
10
11
10
10
00
00
10
10
01
00
10
00
10
00
11
10
00
01
00
00
00
10
10
01
00
11
00
00
10
10
01
10
01
10
11
00
00
11
00
01
10
01
00
10
10
00
01
10
10
01
10
00
00
10
11
00
10
10
10
01
10
00
01
11
10
01
00
10
00
00
11
10
00
10
10
01
00
11
10
10
00
10
11
01
01
01
10
00
00
10
10
01
01
11
10
10
10
10
10
10
00
00
11
10
01
00
00
10
00
00
10
00
01
01
10
10
10
00
11
10
11
01
01
00
00
01
10
00
00
01
11
10
00
10
10
00
11
10
00
00
10
00
10
11
01
11
01
01
10
11
00
10
10
00
00
11
11
01
10
00
00
11
11
00
00
10
10
10
11
00
00
01
00
10
10
11
00
10
01
00
10
00
01
10
00
00
11
10
01
11
00
10
10
00
01
10
10
01
00
10
10
01
10
10
10
11
11
00
11
01
10
10
00
10
10
10
00
10
01
00
11
00
01
10
11
10
10
00
10
11
00
00
11
01
10
00
00
10
00
01
00
01
10
10
10
11
00
00
10
10
11
00
10
00
01
11
11
11
00
00
10
01
00
10
00
10
00
11
11
00
10
00
00
10
00
00
10
00
00
10
10
00
00
11
00
00
01
00
10
10
00
00
10
10
01
10
10
00
00
11
11
00
10
11
00
10
10
00
01
01
10
10
00
10
10
00
10
00
00
10
10
00
10
01
10
10
10
10
11
11
01
11
11
00
10
00
00
00
11
00
10
10
01
01
10
11
10
10
01
00
10
11
00
01
10
00
10
11
00
10
00
00
10
11
10
10
00
10
10
10
10
11
01
11
00
00
11
00
00
10
10
11
00
00
00
10
00
11
11
00
01
10
11
10
11
10
01
10
10
00
00
01
10
00
01
01
00
00
11
11
11
10
01
00
01
10
10
00
01
10
10
00
00
00
01
10
11
00
00
00
00
11
01
01
11
10
10
10
10
00
00
10
00
10
11
01
11
10
11
10
01
10
10
10
00
10
11
01
00
10
00
01
00
11
11
00
01
00
01
10
01
01
11
10
00
10
11
00
00
00
10
10
10
00
10
11
00
01
11
10
10
00
11
00
11
00
00
11
00
00
10
10
10
11
00
00
11
10
01
10
00
10
01
10
10
00
11
00
10
00
00
10
10
00
00
00
10
00
00
00
00
10
01
11
00
00
00
11
10
10
10
10
10
00
00
00
00
10
00
10
10
11
00
01
10
00
11
11
01
10
10
10
01
10
00
00
11
11
01
01
00
01
10
10
00
11
10
01
11
00
10
10
00
11
11
00
00
00
00
10
10
01
10
00
10
01
01
10
10
10
01
10
00
00
10
00
01
11
10
00
00
01
10
01
00
11
00
10
00
10
10
00
10
11
00
10
00
10
01
00
11
10
11
01
01
00
10
11
01
11
10
00
00
10
10
00
10
10
01
00
00
10
10
10
10
01
01
01
11
00
10
11
00
01
10
10
00
01
10
00
10
10
10
01
00
10
01
10
10
01
00
00
10
00
10
01
00
10
01
00
01
00
10
10
00
10
10
00
10
10
01
01
11
10
00
10
00
00
10
11
01
10
10
01
00
00
11
00
11
01
01
01
10
00
01
01
11
11
10
00
00
01
10
00
01
00
00
00
01
01
11
10
10
00
11
10
11
11
00
00
10
00
10
10
00
10
11
01
00
11
01
10
01
11
10
01
10
01
00
00
11
00
00
10
00
00
01
01
10
00
00
10
10
10
00
00
00
01
10
00
01
10
00
00
10
10
11
00
01
10
00
00
10
10
00
00
10
01
11
01
00
10
10
01
11
00
01
10
00
10
01
10
00
00
10
01
00
01
00
10
01
10
11
10
10
11
01
10
01
00
11
00
10
10
10
01
00
11
00
01
00
10
10
10
10
00
10
00
10
11
10
10
10
00
00
10
00
11
10
10
10
11
11
10
10
10
11
00
00
10
10
01
00
01
10
11
10
10
00
11
01
00
11
10
01
10
01
00
10
00
00
10
11
00
01
11
10
10
10
10
01
10
01
00
10
00
00
10
00
01
10
11
00
10
10
01
10
00
01
10
11
00
00
10
10
10
11
10
01
11
00
10
11
00
00
10
11
01
00
10
10
11
11
10
00
11
00
01
00
00
11
10
00
00
00
01
10
10
10
01
00
11
00
00
10
10
10
01
00
10
10
11
01
11
01
00
00
00
01
10
10
10
00
00
11
00
10
10
10
01
00
11
10
00
00
10
10
00
11
11
01
00
10
10
10
01
01
11
11
00
00
10
00
01
10
00
10
01
00
10
00
00
01
00
10
11
00
10
00
10
10
00
00
00
10
10
11
10
00
10
00
00
10
10
01
00
00
10
10
00
10
11
01
10
00
00
01
01
00
10
11
01
00
00
00
11
01
01
00
00
10
10
00
11
10
00
01
10
10
00
00
10
00
01
10
00
11
10
00
00
11
00
11
10
00
00
00
00
11
00
11
10
10
01
10
10
10
10
00
01
00
01
10
10
00
01
10
11
11
00
00
01
00
11
10
00
10
10
00
00
00
10
00
10
01
00
11
00
11
11
11
01
01
01
10
00
11
00
00
10
00
00
10
10
11
01
11
01
10
00
10
01
10
10
00
00
10
10
11
00
10
10
00
10
00
01
10
10
00
10
00
01
00
11
10
10
00
10
00
00
11
11
10
10
10
00
00
01
10
10
00
10
11
00
01
00
10
10
10
00
00
00
11
11
00
01
11
10
11
10
00
11
00
00
00
10
10
00
01
01
11
10
01
10
10
11
10
00
00
10
00
10
10
10
01
01
01
00
00
10
10
11
00
10
11
01
00
10
10
11
11
10
00
10
01
00
10
01
10
00
10
10
01
00
00
10
10
10
10
01
00
10
00
01
10
00
00
10
10
00
00
11
10
10
11
10
10
01
00
00
10
11
10
01
10
11
00
01
10
00
00
11
10
00
00
10
10
01
00
01
00
00
10
00
01
00
00
10
00
11
10
00
01
00
01
00
10
10
11
00
10
00
10
00
01
10
01
11
10
10
10
00
00
00
10
10
00
00
01
00
01
00
01
01
11
10
01
10
11
10
10
00
01
01
10
11
00
10
10
11
01
00
00
10
01
11
01
10
10
10
00
00
00
11
10
01
00
10
11
11
00
00
00
11
00
11
11
00
00
10
00
00
00
10
11
01
01
10
00
01
11
10
00
01
11
00
01
10
00
10
01
00
10
10
10
10
10
10
00
00
10
10
10
00
00
00
01
11
11
10
01
11
11
01
00
11
11
10
00
00
10
01
10
10
10
10
10
11
00
10
01
00
00
10
01
10
11
00
00
01
10
00
10
10
00
01
10
10
10
00
10
10
00
00
11
10
01
10
00
11
10
10
00
10
10
01
01
00
00
10
10
01
10
11
10
00
10
00
10
01
00
00
01
10
00
00
00
00
10
11
01
10
00
01
01
00
00
11
10
00
00
11
00
10
00
11
10
01
00
00
10
01
10
00
10
10
01
01
10
10
10
00
10
00
01
10
11
00
11
01
10
01
11
01
01
10
11
10
00
10
01
00
10
10
10
11
01
00
10
10
11
01
10
00
11
00
10
01
00
10
11
00
00
11
10
00
10
10
00
10
01
01
00
10
00
01
10
00
00
10
00
01
10
10
00
00
00
01
11
00
00
10
00
00
10
01
00
10
10
01
00
01
00
00
11
01
10
00
00
01
00
00
11
10
10
00
11
10
00
01
01
10
01
10
10
10
00
01
00
10
10
00
01
01
10
10
00
00
00
10
01
10
10
10
00
10
00
11
10
00
10
01
00
00
00
10
01
10
11
00
01
01
01
10
10
01
00
00
00
10
10
01
00
10
10
00
10
10
11
00
10
10
00
10
00
00
11
00
11
11
10
11
11
10
01
00
10
11
00
00
10
10
11
11
01
10
11
10
10
10
00
01
11
00
00
10
00
11
00
11
10
10
11
00
01
00
10
10
00
01
10
01
01
10
01
00
01
10
00
00
00
00
11
00
01
00
11
00
00
11
10
11
00
00
11
10
01
10
11
00
00
01
00
01
00
00
10
10
01
11
11
00
10
10
10
01
10
01
00
10
01
00
00
10
00
00
00
11
10
00
00
10
00
00
00
11
01
00
11
00
00
00
00
10
10
10
00
00
10
10
00
10
10
10
00
11
01
00
10
10
10
11
00
00
10
11
00
11
01
11
01
10
01
00
00
00
10
10
11
01
01
00
10
11
00
00
00
00
11
10
00
11
10
11
01
00
10
01
10
10
10
00
00
10
10
11
10
00
01
10
00
01
10
01
00
00
00
10
00
01
10
11
10
00
10
00
00
10
11
00
10
01
11
11
01
11
10
01
00
00
00
11
10
11
01
00
00
10
11
10
10
00
00
00
01
11
10
00
00
10
11
00
00
01
10
01
00
01
11
10
00
10
01
11
00
00
11
11
11
11
00
10
11
01
10
11
00
00
11
00
00
01
10
10
00
00
10
01
00
01
10
01
10
00
01
00
01
11
10
01
10
00
00
11
10
11
01
00
11
11
10
00
00
00
00
11
11
10
10
00
00
01
10
11
01
01
00
10
10
01
00
10
00
01
01
10
00
01
10
11
01
10
11
10
10
11
11
00
10
10
10
11
11
00
01
10
00
01
00
10
00
10
11
00
00
00
01
00
00
01
10
10
00
00
10
11
00
11
01
00
01
00
00
00
10
01
01
00
10
10
10
00
01
00
10
01
00
01
01
01
00
01
11
10
10
01
11
10
00
00
00
01
01
10
10
01
00
10
10
01
00
10
10
11
00
00
11
11
11
10
01
11
01
00
10
10
10
01
01
00
10
11
01
00
10
11
10
10
00
00
10
00
01
00
10
11
00
00
10
01
00
10
11
10
00
11
11
00
00
00
00
00
00
00
10
10
00
10
10
01
10
01
11
10
00
01
10
10
10
10
10
00
00
01
00
00
00
10
11
01
10
10
11
00
10
10
00
00
01
11
10
10
10
00
11
00
00
11
10
01
00
11
11
00
10
10
00
10
10
01
01
10
10
10
00
01
01
10
01
11
01
11
00
00
10
00
01
00
10
00
00
00
00
00
01
11
00
10
10
00
11
10
01
11
00
00
01
00
11
00
00
00
10
10
00
11
11
10
01
00
00
10
11
10
10
00
01
10
10
01
11
10
01
00
10
11
10
00
01
10
10
10
11
00
10
01
10
10
00
10
00
10
10
10
10
11
10
00
00
10
00
00
10
10
11
00
00
00
10
10
01
11
00
10
10
11
00
10
10
00
00
11
11
00
00
00
10
01
10
11
00
10
01
00
11
00
10
10
00
01
00
11
10
11
00
00
11
01
00
10
00
00
10
11
00
10
10
11
01
00
11
10
01
01
00
01
10
00
01
10
11
11
10
01
00
10
00
10
11
11
10
00
01
00
01
01
10
10
01
00
11
00
01
10
00
01
11
00
01
01
10
00
00
11
10
11
10
01
10
10
01
10
10
00
10
10
10
11
00
00
00
10
10
10
10
00
01
11
01
01
10
01
00
00
10
00
00
11
00
10
10
11
01
00
10
01
10
00
10
10
00
01
10
00
10
10
00
00
00
10
01
01
00
01
00
01
10
10
10
01
00
01
00
10
10
00
10
10
01
01
10
11
01
00
11
00
00
00
10
10
10
00
00
10
01
00
10
00
00
10
00
10
10
00
11
00
00
01
00
11
00
00
10
10
00
00
00
10
00
11
11
00
11
10
00
10
10
11
10
00
11
00
11
11
00
00
10
10
10
01
00
10
10
01
00
10
01
00
11
11
00
01
10
01
10
10
11
10
11
00
00
00
00
10
10
11
00
00
11
00
11
00
01
00
00
10
11
10
01
10
10
11
00
10
00
00
10
00
10
11
00
10
10
00
00
00
11
10
10
00
00
01
00
10
01
01
10
10
00
00
10
11
10
00
10
10
00
00
11
00
00
11
00
01
00
00
11
10
00
00
10
10
10
11
00
10
11
00
11
10
00
11
01
00
00
11
10
00
01
00
10
11
00
11
00
00
11
00
10
11
10
00
01
11
10
01
10
11
10
01
01
00
11
11
10
01
10
10
00
01
01
10
10
01
00
10
01
10
01
00
10
00
10
11
00
10
00
10
10
10
10
00
00
10
01
11
11
10
00
10
10
10
01
00
10
10
11
00
10
10
00
10
00
11
10
10
10
11
11
01
11
11
00
01
00
00
11
11
01
00
10
10
00
10
11
00
10
10
01
01
01
00
10
00
10
00
00
10
10
10
00
00
00
00
11
01
10
00
10
01
10
01
00
10
11
00
00
00
11
11
01
00
11
10
01
00
10
00
00
10
10
10
01
00
01
10
00
10
11
11
00
10
10
00
00
00
00
11
11
01
10
00
10
00
10
10
00
01
10
01
01
10
01
01
11
11
10
10
10
01
00
10
11
10
01
11
00
00
00
10
10
00
01
11
01
01
00
10
00
11
10
01
00
00
10
00
10
10
00
00
01
00
10
10
11
00
00
11
11
00
00
00
10
10
00
00
00
10
01
10
10
11
11
00
00
10
01
11
10
01
11
00
00
10
10
00
11
11
00
11
01
10
11
10
00
01
11
10
00
00
11
00
10
11
00
00
00
00
11
00
01
11
01
00
00
11
00
00
10
11
00
10
10
00
10
11
00
11
00
10
00
00
10
10
00
00
01
10
11
01
11
11
11
00
00
10
11
00
01
00
10
01
10
00
00
10
11
10
00
00
00
00
10
10
01
00
10
00
11
10
11
10
10
11
10
01
11
11
01
11
01
01
10
00
10
11
01
00
10
11
00
00
11
11
01
11
10
00
10
10
10
01
00
10
00
00
00
10
10
01
01
10
10
00
10
01
01
10
10
01
00
10
11
00
10
10
01
11
01
10
10
01
00
00
10
00
01
00
10
10
10
01
00
11
10
10
11
01
11
11
00
11
01
00
10
00
00
10
00
00
10
11
00
00
00
01
11
10
10
00
11
01
00
10
10
00
00
10
10
00
00
01
00
10
10
00
01
01
00
01
00
00
11
00
00
01
00
10
11
00
00
10
11
11
00
00
01
01
00
11
01
00
01
01
10
11
00
00
10
00
10
11
01
10
00
10
00
11
00
01
10
11
10
11
11
01
10
00
10
11
01
00
11
10
01
10
10
00
01
01
10
10
00
00
10
00
11
01
01
10
00
10
00
10
10
00
00
10
01
10
10
00
00
11
01
00
10
11
11
01
00
00
10
10
00
10
00
01
10
10
10
00
10
10
00
10
10
00
11
10
11
00
11
10
00
00
10
10
00
10
10
10
00
00
01
00
10
00
10
11
00
00
10
10
10
10
10
01
01
10
00
10
00
00
01
00
11
10
10
00
01
01
10
11
01
10
10
10
01
01
10
10
10
01
11
10
01
01
00
11
10
00
10
00
01
10
11
00
00
00
10
00
01
00
11
10
10
10
10
10
00
11
10
00
10
01
10
00
01
11
00
10
11
00
10
11
10
00
00
10
11
01
01
00
10
01
00
11
11
01
00
11
01
11
10
00
10
01
01
10
11
10
00
00
10
00
00
00
10
00
00
10
00
01
11
10
11
10
01
01
00
10
11
10
10
01
01
11
10
11
00
00
11
10
01
10
10
00
10
10
00
00
11
00
10
01
00
11
10
00
00
10
00
10
10
10
10
01
00
10
00
10
10
00
10
11
10
11
00
00
10
11
11
10
00
01
00
00
10
01
00
00
01
11
11
00
00
00
10
00
10
10
10
11
01
10
10
11
00
01
11
00
00
00
00
10
00
11
00
11
10
11
10
00
10
11
11
01
10
00
10
00
01
10
01
00
10
10
00
10
00
10
11
11
00
10
00
00
11
01
00
00
00
10
11
00
10
10
00
00
11
11
00
10
10
00
00
00
10
00
11
11
00
10
10
01
10
00
10
10
00
11
00
01
10
10
01
10
01
00
10
10
01
01
00
11
10
10
10
00
10
11
10
00
00
00
01
11
11
00
01
00
01
01
10
10
01
00
01
11
10
00
10
10
11
00
00
10
10
10
00
10
01
01
10
00
00
00
10
10
00
11
11
10
10
00
00
00
11
11
00
00
10
00
10
10
11
01
10
11
01
01
01
01
01
10
01
11
10
00
10
00
01
10
01
00
10
00
10
10
11
11
00
10
00
00
00
01
10
11
10
01
00
00
10
10
10
10
10
00
10
10
00
00
10
00
10
00
11
01
00
11
01
00
11
10
00
10
00
11
11
01
01
11
00
10
10
00
00
10
10
00
10
11
11
01
01
10
10
10
01
01
01
10
11
10
00
10
00
00
00
11
10
00
10
11
00
10
10
00
00
11
00
00
11
10
10
00
00
11
00
00
10
00
01
11
11
00
11
11
00
01
10
11
00
00
10
11
01
01
11
11
00
11
00
01
10
11
00
01
10
10
01
10
01
00
01
11
01
10
10
00
00
10
00
01
10
10
11
10
00
11
00
10
00
00
10
10
00
10
00
10
00
10
10
11
10
00
10
10
01
11
10
10
00
00
11
00
10
00
01
10
00
00
10
11
11
00
00
01
11
01
10
11
00
00
10
11
10
01
11
10
10
11
10
11
00
00
10
10
11
11
01
00
10
00
01
00
10
01
01
10
10
01
10
01
01
10
01
00
10
00
00
10
00
00
10
10
00
10
10
10
01
10
11
10
10
00
01
10
00
01
10
10
10
11
00
10
10
10
01
00
10
10
00
00
10
00
11
01
11
00
00
11
00
11
10
00
00
00
00
10
00
11
01
00
10
11
00
00
00
11
00
00
11
10
11
00
11
00
01
10
00
10
10
01
00
01
10
01
10
10
10
11
00
00
10
10
00
00
00
01
10
10
10
10
10
11
00
00
10
00
11
10
01
01
11
10
10
10
10
11
10
10
11
10
00
10
01
01
10
00
00
10
10
00
01
01
00
11
00
00
10
11
10
11
10
01
01
10
01
11
00
00
10
00
10
10
10
11
00
10
10
00
11
10
11
10
00
10
10
10
00
00
11
11
10
00
01
10
00
01
10
00
10
10
10
10
01
00
00
10
10
00
00
10
01
01
00
11
01
10
10
01
10
10
01
00
11
11
01
10
00
01
10
00
10
00
00
00
10
10
00
10
11
01
00
11
10
11
00
00
00
11
10
01
10
10
00
11
01
00
00
10
10
01
10
00
00
10
00
00
01
11
11
00
11
10
00
10
11
00
00
10
00
00
00
01
10
10
00
11
00
10
01
01
10
10
00
10
00
11
10
11
00
00
10
00
10
10
11
01
11
10
01
11
10
10
01
01
11
11
01
10
00
01
10
00
10
11
00
10
10
10
11
01
10
11
11
10
00
11
00
01
10
01
10
01
11
11
00
01
10
11
11
10
00
00
11
10
11
00
00
01
01
00
10
00
11
00
11
10
00
01
00
10
11
01
00
01
00
10
10
00
01
01
10
10
00
01
10
00
10
01
11
01
10
01
11
11
10
00
00
10
00
00
10
11
10
01
11
10
10
01
00
11
01
00
00
10
10
01
01
10
10
11
11
01
00
10
10
10
00
01
01
00
10
11
01
00
00
10
11
10
00
10
11
10
10
00
01
10
10
00
00
01
10
11
10
10
10
11
01
11
10
00
10
00
00
00
10
11
10
10
01
10
00
10
00
00
10
00
00
01
11
00
00
10
10
00
00
11
00
10
10
00
00
10
00
01
10
10
10
10
01
00
00
01
01
00
11
01
01
00
11
00
10
10
10
00
00
10
01
00
11
11
10
10
01
11
10
10
00
00
00
00
00
10
10
00
00
01
10
11
10
10
10
10
00
10
10
00
00
10
11
10
00
10
00
00
01
01
01
01
10
00
00
10
00
11
11
01
01
10
10
00
00
01
01
10
11
10
10
00
01
00
00
00
10
00
10
00
00
10
00
01
01
11
10
11
00
01
11
10
11
00
10
11
00
00
01
00
10
01
11
10
01
00
00
11
10
10
00
00
10
01
00
11
00
11
10
01
10
10
01
10
10
00
00
11
10
00
00
10
00
01
11
10
10
00
10
10
00
00
00
10
00
01
10
00
00
11
00
10
10
00
10
00
01
10
00
10
00
11
11
00
10
11
11
00
00
00
00
10
01
00
10
11
01
00
10
00
01
00
00
10
10
10
00
10
11
10
01
01
01
01
01
00
10
11
01
10
10
00
10
10
01
01
01
11
00
00
01
00
11
10
01
10
00
10
10
10
10
11
00
11
00
11
00
01
10
00
00
01
00
10
01
00
10
10
01
11
01
00
11
01
10
00
00
11
10
11
00
01
10
00
01
10
10
10
00
00
10
01
01
10
00
01
00
00
10
00
10
11
01
10
10
10
10
01
10
00
00
01
10
00
00
10
00
10
00
00
00
00
11
00
10
00
11
11
00
11
10
00
10
10
11
01
11
11
10
00
11
01
00
11
11
11
01
01
01
00
01
00
11
00
10
10
00
10
11
00
00
11
10
10
10
11
01
11
00
00
00
11
11
00
11
11
10
01
01
01
00
10
10
10
10
01
10
10
00
00
10
11
00
10
11
10
10
01
10
00
01
00
10
00
11
01
11
10
00
00
00
10
11
11
10
10
00
10
11
00
00
01
01
10
00
00
10
10
01
11
00
00
10
01
00
10
11
10
10
11
10
10
11
00
01
00
10
10
11
10
00
10
10
00
11
00
11
00
00
00
10
11
10
00
10
00
11
00
11
00
01
10
01
11
11
10
00
10
10
00
00
00
10
10
01
00
11
01
00
11
01
00
01
10
10
11
10
00
10
10
00
00
10
00
01
10
01
01
11
00
11
10
00
10
10
00
00
11
10
11
00
11
01
01
10
11
00
01
00
11
10
00
00
10
10
10
00
11
00
00
10
00
00
01
00
01
00
10
10
10
00
11
00
01
10
00
10
11
10
10
10
00
01
01
11
00
00
00
10
11
01
11
11
00
00
10
10
10
10
10
01
00
01
00
00
11
01
10
10
00
01
00
00
11
10
00
10
00
10
10
11
10
11
00
10
10
01
11
10
10
11
10
00
11
00
00
00
11
00
00
10
10
01
00
10
10
10
01
00
00
10
00
00
11
01
01
10
11
01
11
00
00
11
10
10
00
01
10
10
00
11
00
01
01
01
10
10
10
00
10
10
00
00
10
00
10
00
00
00
00
10
10
00
10
01
00
11
11
10
00
10
00
11
00
00
10
10
00
11
00
11
10
01
01
00
00
10
01
01
01
11
10
01
10
01
10
00
00
10
11
00
01
10
10
11
10
01
10
10
01
01
00
00
00
01
01
00
10
10
00
00
01
10
10
00
00
10
10
11
00
11
00
11
10
10
11
01
10
10
11
10
10
00
00
10
10
01
01
01
00
10
10
11
10
11
00
01
11
10
11
10
10
00
01
10
01
01
11
10
01
11
10
11
01
00
10
01
00
00
11
10
10
00
00
10
10
00
00
10
00
00
10
01
11
10
11
00
10
10
00
10
01
10
10
01
10
00
10
01
11
10
00
00
11
10
10
10
10
01
00
00
01
10
11
01
10
11
01
10
01
01
10
10
10
00
00
00
01
00
01
00
01
11
10
00
11
10
00
10
11
10
00
10
11
10
10
10
00
10
10
10
11
01
11
10
01
00
00
10
11
00
11
11
01
11
00
00
10
00
00
00
00
10
10
01
00
11
11
00
11
00
01
10
00
00
10
11
00
00
10
10
01
10
10
00
00
00
11
00
00
11
00
00
10
10
11
01
01
00
00
10
10
11
10
10
00
00
01
10
10
01
10
01
11
11
10
10
10
00
00
11
00
00
11
00
10
00
01
11
01
01
10
01
00
01
11
00
10
01
00
00
10
11
00
01
00
01
10
11
01
10
10
00
11
11
10
01
10
10
01
00
11
10
10
00
00
10
10
00
00
01
11
00
11
11
10
11
10
11
00
10
11
10
01
00
00
10
00
01
00
10
11
00
00
00
10
10
00
01
11
10
01
01
01
01
11
00
10
10
00
11
10
10
00
00
00
11
01
11
01
10
00
01
00
01
11
11
10
10
01
00
00
10
11
01
11
00
00
01
10
11
01
10
11
00
01
00
10
00
10
01
00
10
10
11
00
01
00
10
00
10
00
11
10
00
01
10
10
00
10
00
11
10
10
11
00
01
11
11
00
00
01
10
10
01
00
01
10
01
00
10
00
10
11
00
11
00
10
00
10
10
10
10
00
10
10
00
00
00
10
00
10
10
10
00
10
10
11
00
01
00
10
01
11
10
01
01
00
10
00
00
10
00
00
10
10
10
11
10
10
00
00
00
11
11
10
01
10
01
00
00
00
10
11
10
10
00
11
10
10
00
00
10
10
00
10
01
10
01
10
11
10
11
11
00
10
10
00
10
00
10
11
01
10
01
11
10
00
10
10
11
11
00
00
00
10
00
01
10
10
10
10
10
10
00
10
00
10
00
10
11
00
10
11
00
01
00
01
10
00
10
11
00
10
10
00
01
00
01
10
10
00
00
00
01
10
10
00
11
11
11
00
11
10
10
00
01
10
10
11
01
01
00
01
11
11
00
00
10
00
00
10
00
00
10
10
10
10
11
11
00
11
00
10
10
11
11
01
00
10
01
10
11
00
10
11
00
10
00
00
11
10
00
00
00
00
11
10
00
10
11
10
10
01
10
10
10
11
00
01
10
10
10
01
10
11
11
00
01
00
00
11
00
01
00
11
10
01
00
01
10
00
10
10
10
11
00
10
01
11
10
11
10
00
10
10
10
01
10
10
10
11
10
11
00
01
00
01
00
10
00
01
10
01
00
11
00
11
00
00
10
11
10
10
10
01
01
00
00
10
01
00
10
11
00
11
10
00
01
10
10
01
10
11
00
00
00
10
01
00
10
10
10
10
00
01
10
01
10
00
10
10
10
00
10
11
00
11
01
00
11
00
00
10
10
00
01
10
10
00
00
01
00
10
11
10
01
00
10
10
11
00
10
01
01
10
00
10
00
01
11
00
01
10
10
11
00
10
01
00
10
01
00
10
10
00
11
10
11
00
01
00
00
01
10
00
01
10
11
01
01
00
10
10
10
00
01
10
00
00
11
10
11
00
10
00
00
11
00
10
11
00
10
00
00
00
10
11
00
01
10
00
11
00
00
10
10
01
00
10
10
10
01
00
11
00
00
11
00
00
10
11
01
00
01
00
10
10
00
10
10
00
00
11
00
11
10
00
01
01
11
01
01
10
01
10
00
11
10
00
01
10
11
01
10
01
00
10
10
00
00
10
00
10
00
10
01
01
10
10
01
10
00
10
10
10
00
00
00
10
10
01
10
00
01
10
11
10
11
00
00
10
01
00
10
10
00
11
10
11
10
10
01
00
00
10
10
01
01
10
00
00
00
00
00
00
10
01
10
00
01
11
11
11
11
10
10
11
10
00
10
10
11
10
01
11
10
00
00
10
11
01
00
10
11
11
00
01
00
01
10
10
00
10
10
00
11
10
00
00
11
11
01
11
10
10
01
00
10
00
10
11
00
10
10
01
00
10
10
01
10
11
00
11
10
00
01
10
11
00
00
10
00
00
10
10
00
10
10
10
11
00
10
11
00
00
10
11
10
00
00
00
00
11
01
00
11
10
00
10
10
10
11
10
11
00
11
11
01
10
01
10
10
00
00
00
10
10
11
00
00
00
01
11
10
11
01
00
10
00
11
01
01
11
11
10
00
10
00
10
11
00
01
00
01
10
00
11
10
10
00
10
10
10
00
10
00
00
10
00
11
01
01
00
01
10
10
01
00
10
10
10
01
01
10
01
11
00
01
11
00
10
01
00
10
01
00
11
00
00
10
10
10
10
11
01
01
10
10
01
10
00
00
00
10
11
01
10
01
11
10
10
00
00
11
10
00
00
00
10
00
10
10
00
01
01
11
10
01
00
10
00
00
01
10
11
00
10
01
00
11
00
10
11
11
00
00
00
10
11
01
01
11
00
10
01
10
01
10
10
01
00
00
10
00
00
10
00
00
00
10
01
10
10
11
00
01
11
11
00
10
10
11
10
01
11
10
01
00
01
10
10
01
00
10
11
10
00
01
10
11
11
01
00
10
00
00
10
00
00
10
10
10
11
10
00
00
00
00
11
00
10
00
10
10
00
00
10
10
10
10
00
00
10
00
01
00
00
01
00
11
00
01
10
00
11
10
10
00
10
10
10
01
00
11
10
00
10
00
00
10
11
01
10
10
00
01
00
01
10
10
10
00
01
00
00
11
10
00
10
11
01
01
00
11
11
01
01
00
11
11
01
00
00
10
10
01
00
00
11
10
11
11
10
10
00
00
00
10
11
10
01
00
11
10
00
10
10
01
00
01
11
00
00
00
11
00
01
10
00
10
10
10
10
01
00
01
00
10
11
10
00
00
10
10
00
01
10
00
01
01
01
00
11
10
00
01
00
10
10
00
00
10
10
10
01
01
11
00
10
00
10
00
00
00
11
10
00
01
01
10
00
10
10
11
10
11
01
10
00
11
10
00
10
10
10
11
11
01
01
00
10
00
01
11
01
00
01
10
01
10
11
01
10
10
11
00
00
10
00
00
01
10
10
01
10
10
01
10
11
11
10
00
11
00
00
00
10
10
00
10
00
00
00
00
11
00
00
11
00
00
00
00
10
01
01
10
00
10
10
10
00
11
01
00
10
00
11
00
10
11
00
10
00
00
11
00
01
10
01
00
00
01
10
10
00
01
11
10
11
10
01
00
10
00
10
11
00
01
11
00
11
10
00
01
00
10
10
10
00
00
11
00
01
00
01
00
10
11
00
00
10
00
01
00
11
11
10
00
11
10
10
10
00
00
10
10
10
11
00
11
00
11
10
01
00
00
01
11
00
00
00
10
10
10
10
00
10
00
10
00
10
10
01
11
01
00
10
01
10
00
10
00
01
00
11
10
11
00
00
01
11
01
00
10
00
00
10
10
00
01
10
01
01
00
01
01
10
10
10
00
10
10
00
11
00
01
01
11
10
00
10
11
01
00
10
10
00
00
10
11
00
01
00
01
00
01
01
11
10
00
00
11
10
00
00
01
10
10
10
10
10
10
10
00
01
11
01
10
01
11
10
00
11
10
00
10
00
01
10
11
10
10
11
10
10
00
01
00
11
10
11
00
00
10
11
10
00
00
00
11
11
01
00
10
01
00
11
10
01
00
10
00
01
10
00
10
10
01
00
00
10
00
00
01
00
10
00
00
00
00
00
00
01
00
10
00
11
10
10
01
10
10
00
11
00
00
01
10
10
00
01
10
00
01
10
10
10
01
10
01
10
00
11
10
10
00
01
10
10
00
00
10
00
10
11
00
10
01
00
10
00
00
10
01
10
00
00
10
11
00
01
11
11
00
10
00
01
10
10
00
00
00
10
00
00
01
10
01
00
11
01
00
00
11
11
10
11
00
00
11
10
10
11
00
00
10
10
10
01
01
11
00
11
01
11
01
00
00
10
10
00
10
00
00
11
00
00
11
00
10
00
00
10
01
00
10
10
01
00
10
10
00
11
11
11
10
00
00
00
10
11
00
00
11
01
10
00
11
01
01
11
00
11
00
01
01
01
10
10
00
01
11
01
10
10
00
11
10
10
10
01
10
00
01
11
00
00
11
10
10
00
11
00
00
01
00
00
10
00
10
01
00
10
10
11
10
00
10
01
10
11
01
01
10
11
10
01
00
10
10
00
10
10
00
01
11
11
00
00
10
01
10
00
00
11
10
00
11
00
00
00
00
11
00
01
10
10
01
00
00
00
01
10
11
01
10
10
10
10
00
00
11
10
01
11
10
00
11
11
10
11
00
11
10
10
10
00
10
10
00
01
01
00
00
11
11
10
01
01
00
11
10
11
10
10
00
00
10
11
00
01
10
10
10
01
01
10
00
00
01
11
00
10
11
01
00
00
01
10
10
11
11
11
01
00
00
11
00
00
10
11
00
10
00
00
01
10
01
11
10
10
10
00
10
11
11
00
00
10
10
10
00
00
10
01
11
10
10
01
01
00
01
10
11
00
00
11
00
00
00
10
11
10
00
10
00
01
10
00
00
10
11
00
01
00
11
00
11
10
11
00
00
01
10
11
00
10
10
11
01
10
10
10
11
00
00
00
10
00
10
01
11
00
01
01
00
10
01
11
00
10
10
00
00
11
11
11
01
00
00
11
10
00
00
10
10
10
01
00
00
01
00
00
10
10
10
11
11
00
00
11
01
11
10
00
01
00
01
10
10
00
10
00
10
10
10
01
10
00
00
00
11
00
01
11
00
00
00
00
10
11
01
01
01
00
10
01
00
11
00
00
10
00
00
00
00
10
01
00
00
00
10
10
01
10
01
10
01
11
10
10
01
00
10
01
11
01
00
10
00
10
11
10
10
01
01
01
10
10
10
00
11
11
00
01
10
10
00
10
10
10
01
00
00
01
10
01
10
11
00
10
10
00
10
00
00
11
00
11
11
00
10
01
11
10
11
00
11
01
00
00
10
10
00
00
01
10
10
10
10
10
10
00
10
11
11
10
01
00
11
10
11
10
01
10
10
01
01
00
11
10
00
00
01
01
00
00
00
10
10
00
11
10
10
11
00
01
00
10
10
10
11
00
10
00
10
10
10
10
00
10
01
00
01
10
10
11
01
11
11
00
00
01
00
01
10
00
11
11
00
11
10
00
10
00
00
10
11
00
00
10
10
01
10
11
10
10
01
10
10
10
00
00
01
11
11
01
10
00
10
00
00
10
00
00
00
10
10
10
11
00
01
00
00
10
01
00
11
00
00
00
10
10
10
10
00
00
00
00
00
00
00
10
10
00
00
10
00
00
10
10
10
11
10
10
00
00
10
00
01
01
10
11
11
10
11
00
11
00
11
10
11
00
00
00
10
11
11
01
01
01
00
00
10
00
10
10
00
00
00
00
01
10
10
00
00
10
10
00
10
11
00
01
10
01
10
00
10
10
10
01
01
00
00
00
11
00
00
00
11
10
01
00
10
11
00
01
01
00
10
10
00
10
00
00
10
11
00
11
00
10
00
00
00
10
10
00
01
01
10
10
10
11
00
01
10
11
00
11
10
01
00
11
01
00
11
10
10
01
10
10
10
11
00
10
00
11
10
01
11
00
10
00
01
10
10
01
01
10
11
10
10
00
00
10
00
00
10
10
11
11
00
00
01
00
01
01
10
00
00
11
01
01
11
10
01
10
00
10
11
01
01
10
10
00
11
10
10
10
00
00
10
11
00
00
10
10
00
10
00
00
10
10
00
00
10
11
00
01
10
01
11
10
01
11
00
01
10
00
10
00
00
01
01
10
00
10
11
11
11
10
00
00
00
00
00
00
10
00
00
11
10
11
11
11
01
11
00
00
11
10
11
10
10
01
01
11
00
11
10
11
11
01
01
10
01
10
00
10
11
01
00
11
00
10
00
10
10
00
01
10
11
00
11
10
00
10
11
10
00
00
00
00
10
00
00
00
11
11
10
10
00
10
01
01
01
00
11
00
10
00
00
10
11
11
00
00
00
10
00
01
10
01
00
10
10
10
11
01
00
11
10
10
10
11
00
01
00
11
01
11
10
01
11
10
10
10
01
00
11
10
00
11
10
11
00
00
11
11
01
11
00
00
10
11
00
00
10
10
00
00
01
00
10
11
00
11
10
11
00
00
10
00
10
01
01
11
00
10
00
11
00
11
11
00
01
10
10
00
10
00
01
00
00
01
10
10
00
11
00
00
10
11
11
11
01
01
10
11
11
00
00
10
10
10
11
10
00
00
10
01
00
00
11
10
00
10
10
00
00
00
10
00
11
11
00
11
10
00
00
01
00
01
01
11
10
01
10
10
01
00
10
10
10
00
00
00
00
11
00
11
00
11
10
01
11
10
10
10
00
11
01
00
01
00
11
10
10
01
11
10
00
00
11
00
11
10
00
00
11
01
00
00
10
10
00
10
11
00
11
01
10
11
10
11
01
01
00
11
00
01
11
00
10
10
10
00
00
00
10
11
10
00
11
10
10
10
10
00
00
11
10
10
10
01
00
00
00
01
10
01
00
11
00
11
11
10
11
00
11
00
10
01
11
10
00
10
10
00
01
10
11
01
00
10
11
00
01
00
10
01
11
01
11
11
01
10
10
00
01
10
10
00
10
10
11
00
10
00
01
00
11
10
00
11
10
11
01
00
11
11
11
01
11
11
00
11
00
01
10
11
00
00
10
10
00
00
00
10
00
00
01
10
11
11
10
10
10
00
00
10
10
00
00
10
10
00
00
11
11
10
01
10
10
00
10
10
01
00
01
10
01
10
11
00
01
00
01
11
10
00
10
10
00
00
10
10
01
00
01
10
10
10
11
01
10
01
00
01
00
10
10
00
00
10
00
11
00
00
10
10
11
00
10
00
01
01
00
10
10
10
11
11
01
01
10
00
10
00
10
01
01
10
00
00
10
01
10
00
10
01
00
11
10
10
00
10
00
10
00
00
01
11
01
11
10
11
10
00
00
10
10
10
10
01
10
00
11
01
00
11
00
11
10
00
01
10
10
01
10
10
01
01
10
10
00
00
10
01
00
10
00
10
10
00
10
11
00
10
10
00
10
00
10
10
10
00
00
11
11
01
11
10
10
00
10
00
01
10
01
01
01
11
11
01
11
10
01
00
11
10
00
10
00
11
00
00
11
10
10
01
11
10
11
01
11
11
01
01
00
00
00
10
10
11
10
00
00
10
10
01
00
00
00
01
11
01
01
10
10
10
00
11
11
01
11
00
11
01
00
00
10
11
00
11
11
10
00
10
00
11
00
01
00
10
00
01
00
10
10
11
11
01
10
00
10
00
10
10
00
00
10
10
01
01
10
11
10
10
10
01
10
10
00
01
00
00
10
10
11
10
10
11
00
10
10
00
00
00
10
10
00
00
10
00
00
10
00
10
10
00
10
11
00
00
00
10
00
00
10
00
10
11
00
01
10
01
00
01
10
00
00
10
00
00
10
11
11
10
10
00
00
00
00
11
00
00
10
10
11
00
11
10
00
01
00
10
00
00
10
00
10
00
10
10
01
10
00
00
11
00
01
01
01
01
10
01
10
11
00
10
11
01
00
10
01
00
11
10
10
01
10
10
10
10
01
00
10
00
01
11
00
01
00
01
00
10
10
00
00
10
10
00
01
00
10
00
00
10
01
00
10
11
00
00
10
00
00
00
11
10
11
00
10
10
11
00
01
00
11
10
00
10
00
10
10
10
01
11
10
01
00
01
00
01
10
10
10
00
10
00
00
01
10
00
11
01
00
11
01
00
10
01
10
00
00
11
01
11
11
11
00
10
10
00
00
00
10
10
00
00
00
10
00
10
10
11
10
00
01
01
00
00
01
00
11
00
10
00
10
10
10
00
00
10
01
10
10
10
00
10
00
10
00
00
00
00
00
10
10
01
10
10
10
11
00
00
01
11
10
00
00
01
00
10
01
00
10
01
01
11
00
00
10
00
01
11
01
01
00
11
01
00
00
10
11
01
00
11
10
01
01
11
10
11
01
01
11
01
00
10
10
01
10
00
01
10
10
11
10
11
00
00
10
11
01
10
11
00
00
10
00
00
10
10
01
01
11
11
11
00
10
01
10
10
01
00
01
00
00
10
01
00
01
10
10
11
00
00
10
11
01
10
11
10
01
00
10
00
00
10
01
00
11
10
00
11
10
00
10
11
00
11
11
01
00
00
00
10
11
00
01
10
00
11
10
00
01
11
00
10
01
01
00
00
10
11
01
10
10
01
00
10
10
00
00
11
11
10
01
10
00
01
00
10
10
00
10
00
01
11
10
01
11
00
00
00
10
11
01
01
10
10
10
10
01
00
10
10
00
01
10
00
10
00
00
10
00
00
10
10
11
10
10
01
00
10
00
10
11
11
00
10
00
11
10
10
11
00
00
01
00
10
00
11
00
00
10
11
11
00
00
00
01
10
00
00
11
00
00
10
00
00
00
01
11
00
01
10
01
00
10
10
10
00
10
00
00
00
11
01
00
00
00
00
11
01
10
00
00
11
10
10
00
01
11
11
00
00
00
10
11
00
01
11
11
00
10
01
00
11
11
10
00
10
10
11
10
01
01
01
10
00
11
10
01
00
00
00
10
10
10
10
10
00
01
00
10
10
11
00
11
11
00
01
10
10
00
01
11
10
00
10
10
00
01
00
10
11
10
10
00
11
00
11
11
10
10
10
01
01
10
10
00
01
10
11
00
00
11
00
00
00
01
10
10
11
01
10
00
01
00
11
01
11
01
01
10
10
10
10
00
01
10
11
00
10
11
00
11
11
10
00
10
11
00
10
10
10
10
00
00
11
11
01
00
00
00
11
01
10
01
00
01
10
00
10
10
10
01
00
00
11
10
00
01
00
11
00
10
11
00
10
10
00
00
01
01
11
01
11
10
00
00
10
11
01
01
11
11
00
00
00
11
01
10
10
00
00
10
11
10
10
00
00
10
10
10
00
00
10
10
11
01
00
10
11
00
00
10
10
00
11
00
01
00
01
00
00
01
11
10
11
01
00
01
11
00
00
11
11
10
10
00
00
10
10
10
11
10
00
00
00
00
00
10
10
10
11
01
11
11
11
00
10
11
00
00
10
01
00
01
10
11
01
00
00
00
10
00
10
10
11
11
00
01
00
00
00
00
00
01
00
10
10
00
00
00
00
11
01
00
00
01
10
00
00
11
10
10
00
00
01
10
11
10
00
00
10
10
01
11
10
00
11
00
01
10
00
11
11
00
00
10
10
00
11
10
10
00
00
00
10
11
00
10
11
10
01
10
10
00
00
01
00
10
11
10
00
00
00
00
10
10
00
01
00
01
10
00
10
11
01
00
00
00
10
01
00
00
10
10
00
11
10
00
11
00
11
10
11
11
00
00
10
10
10
10
00
01
01
01
00
00
10
00
01
00
10
10
00
01
01
10
01
10
10
00
10
10
00
00
10
10
01
00
10
00
01
00
00
10
10
00
00
10
11
00
01
01
11
01
01
01
11
01
00
10
10
00
10
11
00
01
10
10
10
11
11
10
10
00
01
10
11
10
01
00
10
00
00
10
10
00
01
10
01
01
00
11
10
10
10
01
10
01
10
10
10
10
10
00
11
10
01
11
10
10
01
10
11
11
00
10
10
00
00
00
10
01
01
11
00
00
00
10
00
01
10
10
10
00
10
11
00
00
00
11
10
00
10
10
00
10
10
00
00
10
10
00
11
11
10
10
11
11
10
01
01
10
10
00
10
01
00
11
10
00
00
00
00
00
01
10
10
00
00
11
10
00
10
11
01
01
10
01
10
11
10
00
01
10
00
10
10
10
01
01
00
00
11
11
01
00
10
11
01
10
11
00
01
10
00
11
01
00
10
01
10
11
00
11
00
11
00
10
11
10
11
11
00
01
00
10
00
10
10
00
01
10
10
11
00
01
00
00
00
00
10
00
10
10
00
10
10
01
00
01
00
01
10
00
10
11
10
10
11
00
11
11
00
01
11
10
00
10
00
00
10
11
10
01
01
00
10
01
00
01
00
10
10
00
00
10
10
00
11
10
00
00
11
11
01
10
10
11
01
10
00
00
11
10
11
00
00
10
11
10
10
00
00
00
10
00
11
10
10
10
01
01
00
00
01
00
10
11
00
10
01
00
10
00
01
00
00
10
10
00
00
01
00
10
10
01
10
00
01
10
01
00
10
10
10
01
11
00
11
00
01
01
01
10
00
00
10
11
01
00
10
11
10
01
10
01
10
10
00
10
00
00
11
10
01
01
11
10
00
01
00
11
10
11
10
00
00
10
10
00
11
10
10
00
00
00
10
10
00
01
00
10
00
00
01
01
01
10
11
00
10
00
00
10
00
10
10
01
10
10
10
11
00
00
01
00
01
10
00
00
01
10
00
10
10
10
01
01
00
00
00
00
11
11
11
00
10
01
10
00
00
10
10
01
00
01
11
10
00
11
10
01
10
10
00
00
10
10
10
01
11
00
10
00
10
10
11
00
01
00
10
01
00
01
10
11
00
01
01
01
11
00
11
10
10
00
00
11
10
10
00
10
10
00
10
10
10
00
00
01
10
11
00
00
10
00
00
11
01
01
10
10
00
01
10
10
10
01
00
11
00
00
10
00
10
10
10
00
11
10
11
00
11
00
10
00
00
10
01
00
00
10
00
00
10
10
01
01
10
00
10
01
10
10
10
00
10
00
11
11
10
01
00
10
10
01
01
11
10
01
00
11
00
00
01
11
10
00
10
11
00
10
10
00
01
10
10
11
00
10
10
01
00
00
00
01
10
11
11
00
11
01
01
00
10
10
10
10
10
10
00
11
10
10
00
10
10
11
00
00
00
10
00
01
01
11
11
01
01
01
10
00
10
10
01
01
00
00
10
11
10
10
10
10
11
11
00
01
00
00
01
00
11
10
00
00
00
10
10
01
10
10
10
01
01
00
11
11
00
00
10
01
10
10
00
10
11
11
10
00
00
10
10
10
00
10
11
10
11
01
00
11
00
10
10
00
00
00
10
01
00
10
10
11
01
01
01
01
10
00
00
01
00
10
10
10
10
00
01
01
11
10
00
10
00
11
11
00
00
00
00
00
10
11
10
00
11
10
00
00
01
00
11
00
10
00
00
00
10
00
00
00
00
10
10
00
00
10
01
01
10
00
01
00
11
00
01
00
10
01
10
00
10
00
00
10
11
11
01
11
10
10
11
10
00
00
00
11
10
01
00
10
00
00
00
10
10
00
10
11
00
10
00
10
00
11
11
01
00
00
11
00
00
10
01
00
00
10
10
10
00
01
01
11
10
10
11
10
01
10
00
01
10
10
00
10
11
00
01
11
10
10
10
00
01
11
11
10
01
00
00
01
10
00
00
00
01
01
11
11
00
11
00
01
01
00
10
11
00
00
00
01
11
01
00
10
10
10
00
00
10
10
01
00
01
00
00
00
00
00
11
11
01
00
00
00
00
10
11
00
00
01
00
01
10
00
10
01
01
10
10
00
00
10
10
11
00
00
10
11
11
00
01
10
00
10
10
01
00
10
00
01
00
00
11
10
10
11
00
01
10
11
11
10
00
10
11
00
10
10
01
11
11
10
00
10
00
10
11
01
11
10
10
00
11
00
11
00
00
00
10
10
10
00
01
01
10
00
00
00
00
00
10
11
00
01
00
10
10
11
00
00
10
10
00
01
11
10
10
00
01
11
01
00
00
10
11
11
10
11
00
01
00
01
00
11
11
11
00
01
10
10
00
01
01
11
10
00
01
10
10
00
00
11
10
00
01
00
10
00
11
10
00
11
00
00
10
11
11
00
11
10
11
01
10
01
00
11
10
10
01
00
11
10
00
10
10
00
01
10
10
10
11
11
00
01
10
00
01
01
01
10
00
10
00
00
10
11
10
00
01
00
00
00
10
01
10
10
01
10
10
10
00
10
00
11
11
00
00
01
00
00
11
11
01
00
10
00
01
01
00
01
11
11
10
01
11
01
10
11
00
00
01
10
11
00
10
11
10
00
01
00
00
10
10
11
10
00
10
00
11
00
10
10
00
10
10
00
00
10
00
01
10
11
10
01
11
00
00
11
10
00
10
11
10
00
01
01
01
11
10
00
00
10
10
10
11
00
10
00
01
00
11
01
00
00
10
01
01
11
10
00
11
10
00
00
00
10
11
00
10
01
00
10
00
00
10
00
10
10
01
10
00
01
00
10
01
10
01
10
10
01
10
11
00
10
01
11
00
01
10
11
01
00
01
11
01
00
10
11
01
10
10
01
10
00
10
00
00
01
00
11
00
10
10
10
10
11
00
00
00
00
10
00
10
00
01
00
00
00
00
01
01
11
01
00
01
10
10
00
00
11
10
11
00
00
11
10
00
00
10
01
10
00
10
10
10
10
11
10
01
01
00
01
10
00
01
01
11
00
01
10
00
10
00
01
10
10
10
10
11
00
00
10
00
01
00
11
00
11
11
01
10
00
11
10
11
11
10
01
00
10
10
01
00
10
00
00
00
01
10
01
00
11
10
00
00
00
00
10
00
00
01
00
01
11
00
11
00
00
10
11
01
00
00
10
00
10
10
00
10
00
10
10
11
00
11
00
11
11
01
11
00
01
10
10
00
00
10
10
11
00
11
00
00
00
10
00
10
11
00
00
10
01
00
01
00
00
00
11
10
00
00
10
00
01
10
11
11
01
11
00
00
10
01
00
00
11
11
11
11
00
00
00
00
10
10
01
01
11
10
00
10
01
00
10
01
00
10
00
00
10
01
10
00
01
10
10
10
11
01
01
00
00
01
01
10
01
01
11
01
00
01
10
01
00
10
10
10
11
00
00
10
11
00
11
10
00
01
00
10
00
10
10
01
00
10
11
00
10
10
01
11
10
00
00
10
10
10
11
01
00
01
00
10
00
10
10
00
10
01
11
00
01
00
10
11
11
00
01
01
11
11
00
00
00
11
11
00
01
10
11
00
11
00
10
10
10
11
00
10
00
11
10
10
11
00
01
10
10
00
10
10
10
01
00
00
11
10
10
00
10
10
00
10
10
11
00
00
10
10
01
00
00
10
00
11
00
10
11
11
00
00
01
10
00
00
00
00
00
10
10
10
11
00
10
10
01
01
10
00
01
01
10
11
01
10
00
01
00
01
00
11
10
00
11
10
00
11
10
00
10
01
11
00
10
10
01
00
10
00
00
00
10
00
10
00
00
10
11
10
00
00
01
01
11
11
00
10
00
01
11
10
01
00
00
01
01
10
00
01
10
10
10
01
11
10
00
10
01
10
00
00
10
10
10
10
01
00
10
00
11
10
10
00
01
01
10
10
10
00
00
11
10
00
00
11
10
11
00
00
11
10
11
10
10
00
00
11
10
00
01
11
10
11
10
01
00
00
10
00
10
11
00
11
00
00
00
00
10
10
10
01
00
00
10
10
10
00
01
00
11
10
10
11
11
00
00
10
01
10
10
01
10
11
00
00
00
01
10
10
00
11
11
10
00
01
00
11
00
10
11
10
00
10
00
00
10
10
00
00
10
00
10
00
00
10
00
10
00
00
01
01
00
11
00
11
01
01
10
10
10
00
01
00
10
10
10
00
00
00
10
11
01
10
11
00
00
01
10
01
11
10
00
00
00
10
01
00
00
01
11
10
01
00
01
00
10
11
00
10
00
10
11
00
01
11
01
10
01
00
00
11
10
00
00
00
10
10
00
10
00
00
10
10
10
10
10
10
01
00
00
11
01
01
00
01
10
01
01
11
11
00
10
10
10
00
01
11
01
00
10
10
01
00
11
01
11
11
10
00
00
00
10
00
01
00
00
11
11
10
00
00
10
10
00
00
10
00
01
10
10
11
10
11
11
01
00
10
10
00
00
10
00
00
10
11
00
00
00
10
00
11
00
00
00
11
01
00
10
01
00
00
11
00
00
00
10
10
10
10
01
10
01
00
11
10
01
01
10
00
00
11
00
00
00
10
10
00
11
10
00
10
01
11
01
11
10
00
00
11
00
00
10
11
00
10
01
01
11
10
11
00
10
10
11
10
00
00
11
11
00
00
00
10
01
01
01
11
10
10
10
10
00
10
10
01
01
00
01
01
01
11
01
10
11
00
00
01
11
00
10
01
01
11
10
11
01
10
10
00
00
10
00
00
00
01
00
10
10
10
11
10
00
10
00
10
01
10
10
00
11
10
00
00
00
10
11
00
11
10
00
11
00
10
11
00
01
10
00
10
10
00
11
00
00
10
10
00
01
00
11
11
10
00
11
01
00
11
10
10
10
01
01
00
11
00
00
10
11
11
10
11
00
00
00
10
11
11
00
10
10
00
11
00
10
00
01
10
01
00
10
01
01
01
00
00
10
10
10
00
10
10
10
01
00
00
00
01
00
11
10
11
01
01
00
00
01
10
10
00
11
10
11
00
10
00
00
01
00
00
00
00
11
11
11
10
10
01
10
00
10
11
00
00
11
10
00
00
00
11
10
00
01
01
01
00
10
10
10
00
00
01
00
10
00
01
11
00
10
11
00
01
10
01
10
00
10
11
01
00
00
10
11
00
00
10
00
10
10
01
00
01
10
01
01
11
00
10
00
00
10
00
00
11
11
00
10
10
11
01
00
10
10
10
00
10
10
10
00
01
11
00
10
10
10
10
01
00
10
10
00
10
00
00
00
11
10
10
01
00
00
11
00
01
01
10
11
10
00
10
00
01
10
00
00
10
01
01
00
10
10
01
01
10
11
10
11
10
00
00
10
01
10
00
00
10
00
10
00
10
10
01
00
10
11
11
00
10
10
10
10
10
00
00
01
11
01
10
11
01
10
11
10
00
00
10
11
11
00
11
00
00
10
01
00
01
10
11
10
01
01
01
10
11
10
01
10
10
10
00
00
10
11
00
10
01
10
11
10
00
01
11
01
10
00
00
00
01
10
10
10
10
00
10
01
10
01
00
11
00
00
00
10
01
00
00
10
10
01
00
00
10
00
01
10
00
00
10
00
00
11
10
01
10
11
01
01
00
11
11
10
11
00
01
10
10
01
01
11
11
00
00
00
10
11
11
00
01
10
10
10
11
11
10
10
00
00
00
01
01
10
10
01
10
01
10
10
11
00
01
00
10
00
01
11
10
01
00
01
10
10
00
10
10
01
11
11
11
11
10
10
00
00
11
10
10
00
11
01
11
10
00
00
00
00
10
01
10
10
01
00
01
10
10
11
00
00
00
01
10
11
10
10
00
11
01
01
10
11
10
00
00
11
10
11
00
00
10
01
10
00
00
01
11
11
00
10
11
00
11
10
00
00
00
11
10
00
00
11
10
00
11
00
11
10
10
10
11
00
01
00
10
00
11
01
00
10
10
10
10
10
00
00
00
00
11
10
00
10
10
01
11
01
10
11
10
00
01
11
10
10
01
00
10
10
01
01
11
10
10
00
00
01
10
10
00
00
00
00
01
10
10
00
10
11
10
10
10
00
00
00
00
00
10
10
10
01
01
00
01
10
00
10
00
11
10
01
10
00
00
10
00
01
00
11
11
00
01
10
00
11
01
00
10
00
01
10
10
00
10
11
00
11
00
10
11
10
01
11
10
01
10
00
01
00
11
10
01
01
00
10
00
11
10
10
00
10
11
00
10
01
01
10
11
00
10
10
10
11
01
01
01
10
11
10
11
00
00
00
10
10
01
00
10
11
10
01
11
00
00
00
00
10
10
00
00
01
01
11
00
10
10
00
00
11
01
00
01
11
11
10
00
00
11
11
00
00
10
00
00
10
00
01
00
11
11
10
00
00
10
10
10
00
00
11
10
01
00
11
00
10
10
11
11
00
10
10
11
10
10
11
00
00
00
11
10
01
10
10
10
00
00
10
10
01
00
10
00
10
00
10
00
11
00
10
10
00
00
10
00
01
00
01
11
11
11
01
00
00
10
10
01
00
11
00
11
10
00
00
00
00
10
01
01
00
10
01
10
01
10
11
01
00
00
00
01
10
11
10
00
00
00
10
01
00
11
10
01
01
01
01
10
10
00
11
00
10
10
10
01
01
00
10
00
00
01
10
10
00
01
01
00
10
00
00
11
00
10
10
11
00
01
01
10
11
00
00
11
00
01
10
00
01
10
10
11
01
00
10
10
00
00
01
10
01
10
10
00
10
00
10
11
11
11
11
11
10
01
00
11
00
00
10
10
10
00
10
00
00
00
10
01
00
10
11
00
01
00
00
11
11
10
00
00
10
00
01
01
00
00
00
11
01
10
00
10
10
00
10
00
00
00
00
10
10
10
00
10
10
00
00
10
11
10
11
10
11
11
10
01
10
10
00
00
10
10
11
01
10
00
01
00
00
00
01
10
10
10
01
10
11
00
11
10
00
10
01
11
11
11
00
11
01
00
11
11
00
00
10
00
10
00
10
10
00
10
00
01
01
00
01
10
10
00
00
10
10
11
00
00
00
01
10
01
10
10
00
01
10
10
01
00
11
10
00
10
00
00
00
10
10
00
00
00
00
00
10
00
11
10
00
10
10
11
11
00
01
10
01
10
10
00
01
11
00
01
00
01
10
01
10
00
10
00
01
10
01
10
00
00
01
11
00
01
10
01
00
00
10
00
11
00
01
11
00
10
10
01
11
11
01
01
11
01
00
10
01
10
00
00
11
10
00
11
11
01
10
11
00
10
10
10
01
01
10
10
01
00
10
11
10
10
01
00
00
00
10
10
11
11
10
11
10
10
10
00
00
10
00
00
01
10
10
00
10
11
10
10
10
11
00
00
00
10
10
00
10
11
01
01
01
10
11
00
10
10
01
00
00
10
10
11
00
00
10
11
10
00
10
11
10
01
01
01
00
00
10
10
00
00
10
10
00
00
11
10
10
01
01
00
10
11
00
00
10
10
10
00
00
11
00
11
00
11
00
00
00
10
10
00
00
00
11
00
11
11
00
10
10
00
00
11
10
01
01
10
10
10
11
01
10
01
00
10
11
10
11
10
11
00
01
10
11
10
00
10
00
10
10
00
01
01
00
11
10
00
00
11
00
10
11
01
11
00
10
00
10
00
01
00
10
10
01
00
11
10
01
10
11
00
01
00
11
10
00
01
10
10
11
00
01
10
00
00
00
00
10
11
00
00
10
00
11
01
10
00
00
00
10
11
11
10
01
00
10
00
10
10
11
10
01
01
10
01
01
11
00
01
11
10
00
01
11
10
11
00
00
01
11
10
00
00
10
00
11
11
00
10
10
00
10
10
00
00
10
10
11
01
11
00
10
11
11
10
01
10
10
10
00
00
10
00
00
10
00
11
10
00
10
00
00
11
10
10
00
10
00
10
11
01
11
11
10
01
10
10
10
11
01
00
00
10
00
01
01
00
10
00
01
11
10
00
11
11
01
00
10
10
00
00
11
10
00
11
01
00
00
00
01
01
01
10
10
11
00
00
01
00
10
00
01
01
00
10
10
10
10
00
10
00
01
10
11
11
10
01
00
01
10
11
00
10
11
01
10
11
00
01
00
01
00
10
10
10
11
00
01
10
00
00
00
11
11
10
01
11
11
11
00
00
11
00
00
00
11
10
10
10
00
11
11
01
10
01
10
10
00
01
11
10
00
00
01
00
00
10
00
11
01
11
11
01
00
00
00
00
10
10
01
10
00
00
10
11
00
11
11
00
00
00
10
01
10
10
01
10
10
10
00
10
10
10
01
00
11
01
00
00
11
10
10
10
10
00
00
10
00
10
11
11
01
00
10
01
11
00
00
11
10
10
00
10
11
00
00
11
11
00
00
10
00
01
10
10
10
11
00
00
11
00
00
00
00
10
10
00
10
10
10
01
10
10
11
00
00
10
00
01
00
10
01
10
10
10
00
00
10
10
00
10
11
00
01
10
00
10
01
01
00
01
10
00
10
11
11
01
10
00
00
01
11
10
00
00
00
00
01
01
00
01
11
01
01
10
00
00
11
11
10
00
00
01
00
00
11
11
10
00
10
01
11
00
10
00
10
01
10
01
00
11
10
10
10
00
10
11
00
00
11
10
00
10
01
10
00
00
11
00
10
11
00
00
01
00
10
00
10
10
00
11
11
00
01
00
10
00
00
00
00
00
10
10
00
01
00
10
00
11
10
00
00
00
01
00
10
00
10
10
10
10
01
00
00
11
01
10
00
00
10
10
00
00
11
10
00
11
10
00
10
10
00
10
10
10
10
11
00
10
10
00
00
10
10
11
10
00
10
10
10
10
00
01
10
00
00
10
10
10
10
10
00
10
11
10
10
00
01
11
11
01
01
10
10
10
11
11
00
11
11
00
01
10
01
00
00
10
00
11
10
10
01
00
01
01
10
00
10
11
00
00
10
11
01
00
10
00
01
01
00
10
11
00
01
10
00
00
01
00
11
10
01
00
10
11
01
11
10
00
00
00
10
01
11
10
10
00
00
01
00
00
11
11
00
11
00
01
10
10
00
11
00
01
00
10
01
10
00
01
11
10
11
10
00
01
10
10
10
00
01
00
00
10
00
00
01
10
01
00
10
10
10
00
11
11
11
10
00
11
10
00
11
01
00
10
00
00
00
00
11
00
01
10
10
10
01
00
11
00
00
10
00
00
01
10
00
11
10
11
00
10
11
10
01
01
11
10
10
10
00
00
11
11
01
00
01
00
01
11
00
00
10
10
00
11
10
10
00
01
01
00
11
10
10
11
00
00
11
00
00
00
00
11
10
00
00
00
10
11
10
10
01
00
00
10
10
11
10
00
00
00
11
01
00
10
01
10
11
00
00
10
00
11
00
00
10
00
11
00
11
10
00
01
10
00
00
10
10
10
10
00
00
10
00
11
00
10
00
00
10
01
11
00
00
11
11
10
11
10
11
00
00
10
00
00
11
00
01
01
10
01
00
10
11
10
01
00
01
00
10
00
00
01
10
10
00
01
00
01
10
00
10
10
10
00
10
10
10
10
10
01
01
10
00
10
00
00
10
00
00
10
11
00
00
10
00
00
00
00
10
01
00
10
10
10
01
00
10
00
01
10
10
00
10
10
00
10
00
10
01
00
10
10
00
01
00
10
00
10
10
00
10
00
00
10
00
01
00
10
00
01
11
10
01
01
01
00
00
11
00
10
10
10
01
01
10
10
10
10
00
10
11
01
00
00
00
11
10
01
10
00
00
00
00
11
10
11
10
01
01
00
10
10
10
01
11
11
00
11
11
01
00
00
11
10
00
00
11
11
00
01
00
01
00
10
10
11
01
00
00
00
10
11
00
10
10
00
11
10
00
10
00
11
01
00
00
10
00
10
11
00
10
10
10
11
10
00
00
01
00
00
00
11
10
01
00
00
01
00
00
10
10
01
01
11
00
10
10
01
01
10
00
01
10
10
10
01
00
00
11
10
10
01
10
10
10
01
10
00
00
00
11
11
00
00
11
10
10
10
01
00
11
10
11
00
01
00
00
10
11
00
01
00
10
10
00
00
11
10
01
10
00
10
10
01
01
11
10
00
00
01
10
10
00
10
01
01
10
00
01
00
10
10
10
10
10
00
01
01
00
00
01
10
10
10
00
11
11
01
00
00
10
11
01
00
11
00
11
11
00
10
11
00
00
00
10
00
10
11
10
11
10
11
00
01
00
10
01
10
00
11
00
00
00
00
11
10
11
00
10
10
01
11
10
00
11
11
10
11
00
11
10
01
01
01
10
00
11
00
10
10
00
00
00
10
00
11
01
00
10
00
10
10
11
00
00
10
00
00
10
11
11
00
00
10
00
10
11
00
01
00
10
00
10
00
10
00
00
10
00
01
10
10
10
01
00
00
00
10
10
00
01
10
01
00
10
10
11
01
00
00
10
10
10
01
00
11
10
10
10
10
10
00
00
10
10
00
00
01
10
00
10
01
00
10
01
10
00
10
00
10
00
10
10
01
10
11
00
01
10
10
00
11
00
01
00
10
10
10
01
01
00
10
00
01
11
10
10
00
11
10
11
00
01
11
00
01
10
10
11
11
01
01
10
10
10
10
10
10
01
01
10
10
11
10
01
10
10
00
00
11
00
00
00
10
00
01
10
00
10
01
00
00
10
00
10
10
01
00
11
00
00
10
11
01
10
00
01
10
11
01
00
10
01
01
01
01
10
10
10
00
00
01
11
10
00
01
00
01
00
10
11
00
00
10
10
01
10
01
10
10
01
11
11
00
10
10
10
00
01
11
00
10
11
10
10
11
10
00
10
01
10
00
10
11
00
00
11
00
01
00
01
11
10
10
00
01
11
01
01
10
10
01
10
01
00
10
11
00
01
10
10
00
11
10
10
00
01
00
01
10
10
00
01
11
10
01
01
00
11
01
01
11
00
00
00
01
10
10
00
10
00
11
00
11
00
01
10
11
10
01
00
01
01
10
11
11
11
00
00
01
11
00
11
11
00
00
00
10
00
00
10
10
00
10
00
00
10
10
00
11
01
10
10
10
10
11
00
00
11
00
01
10
00
00
00
10
10
10
00
10
11
00
10
11
10
10
01
10
10
00
11
11
00
01
00
01
00
00
01
10
00
01
00
11
00
00
01
11
10
11
10
00
10
00
10
10
00
00
00
10
01
10
10
00
10
10
00
00
11
10
00
11
11
00
11
10
11
00
10
01
10
10
01
00
10
10
00
10
10
11
01
00
11
11
00
01
10
00
10
10
00
00
00
11
00
11
00
11
10
10
01
01
10
10
00
00
10
00
00
10
10
00
10
10
10
10
01
10
00
10
11
10
00
01
01
00
10
10
00
00
11
11
00
00
00
10
00
10
01
10
10
00
01
00
11
10
11
01
11
10
01
00
00
10
10
01
00
00
10
00
01
00
10
10
00
00
10
10
00
10
10
01
10
10
00
00
00
11
11
01
00
00
00
10
10
00
10
11
01
10
01
00
11
01
00
10
00
00
10
10
00
10
10
10
10
11
01
10
01
10
11
10
00
00
10
00
00
01
01
11
00
01
10
10
01
00
11
10
11
01
00
11
11
10
00
00
10
11
10
01
01
00
10
11
10
10
00
00
10
11
10
00
00
11
10
11
00
10
00
00
00
10
01
00
10
10
10
00
00
01
10
11
00
00
10
10
01
01
01
10
10
00
10
10
00
00
10
10
01
01
01
00
11
00
11
00
10
10
00
10
11
10
00
10
10
10
01
00
11
00
10
00
10
01
00
00
10
00
00
10
00
11
00
10
11
00
01
00
01
10
11
00
00
11
00
11
11
01
10
00
10
00
10
10
00
00
00
10
01
10
11
10
00
00
10
11
10
10
10
00
00
11
01
00
01
10
11
00
10
00
11
10
10
01
00
10
10
01
01
00
00
00
00
11
10
10
00
01
10
10
11
10
01
01
10
00
00
11
11
10
11
00
00
00
00
01
00
10
10
00
11
10
00
00
11
11
10
00
10
11
01
00
00
01
11
10
11
00
11
00
00
11
00
10
10
10
10
10
01
00
00
10
00
01
11
01
10
00
00
00
00
10
10
01
11
10
00
00
00
11
01
01
00
10
10
00
10
01
10
00
01
00
00
11
10
11
00
10
10
11
11
00
00
01
00
00
00
11
00
11
11
00
00
10
00
10
10
01
00
10
00
00
11
11
10
10
10
01
00
10
00
00
01
10
10
10
01
01
11
10
10
01
10
10
00
01
00
10
10
11
10
10
00
11
11
10
10
00
11
10
11
10
00
10
10
10
10
10
01
00
10
00
00
10
01
10
10
01
10
10
00
10
00
00
00
00
00
00
11
00
01
00
11
10
00
10
11
00
00
10
11
10
00
10
00
11
00
00
11
00
10
01
11
00
01
00
00
10
10
11
11
01
00
00
00
00
10
10
10
00
11
00
00
01
00
00
00
00
00
00
10
11
10
10
00
10
11
00
11
01
01
10
00
10
00
00
10
01
00
10
01
10
10
11
01
01
11
01
11
11
11
00
10
00
01
11
11
01
10
10
10
00
11
00
11
00
10
11
10
01
00
11
01
00
10
11
00
00
01
10
11
01
10
01
10
01
01
10
11
00
10
10
00
00
00
10
10
00
10
11
10
01
10
10
00
11
01
00
01
10
11
01
00
01
01
10
00
10
11
00
10
01
11
11
10
11
00
10
10
00
10
00
00
10
11
00
11
00
11
01
01
10
10
10
10
10
00
00
11
10
00
10
01
00
00
10
10
00
10
00
10
11
00
11
00
11
00
01
01
00
10
00
10
10
00
00
00
10
11
00
01
10
00
00
11
11
10
10
01
00
11
00
01
10
10
00
01
00
11
00
01
01
00
11
01
10
11
00
01
10
10
00
01
01
11
11
00
10
00
11
10
00
00
10
00
00
11
10
10
10
10
00
01
10
00
11
10
10
01
11
00
10
10
10
01
01
10
00
00
00
10
01
00
10
10
11
00
11
10
10
00
10
01
10
00
00
00
10
11
00
01
01
11
10
00
11
00
01
11
00
11
11
01
10
10
10
10
00
00
10
11
00
01
00
01
10
10
10
00
10
10
01
00
01
00
11
10
00
00
00
00
10
11
00
01
11
10
00
10
01
11
10
00
10
10
00
00
10
00
00
11
01
10
10
00
01
10
01
10
00
00
00
11
11
10
10
10
01
11
00
01
10
11
10
10
00
11
01
01
00
11
10
00
01
10
01
01
10
10
10
10
00
00
10
01
11
10
11
00
10
11
00
11
11
00
00
10
10
00
01
10
01
10
10
10
11
10
00
00
10
11
10
10
00
01
00
00
01
10
01
01
10
10
01
10
01
10
11
01
01
01
00
10
00
00
11
00
00
10
11
10
10
00
10
00
00
10
11
00
11
10
01
00
00
11
10
10
00
00
10
10
10
00
00
11
01
00
10
00
01
11
01
10
00
00
10
00
10
00
01
00
10
11
00
01
11
10
10
10
10
01
01
00
00
10
11
00
10
11
01
10
10
10
10
00
01
00
10
11
11
10
10
00
10
10
10
00
00
10
10
00
11
11
00
11
00
11
01
00
11
11
10
00
00
10
10
10
01
10
10
00
10
01
11
00
11
10
10
10
11
00
00
01
00
11
10
11
10
11
10
11
10
11
10
00
10
00
00
10
01
00
10
10
01
01
10
01
01
10
01
10
11
00
10
11
11
00
01
10
10
11
00
01
10
11
01
00
00
01
10
00
00
10
10
00
11
10
01
00
11
00
00
10
10
00
00
10
01
10
10
10
11
01
01
10
10
00
00
00
10
00
01
00
01
10
10
00
01
10
10
00
11
00
10
01
00
10
01
00
11
00
00
00
10
00
11
00
01
10
10
00
00
00
10
10
01
01
11
11
10
10
11
00
11
01
00
10
10
00
00
00
10
01
10
10
11
10
01
00
00
01
11
10
01
11
10
10
10
00
01
10
11
01
10
10
00
10
10
10
00
00
10
00
11
10
00
00
10
10
11
10
00
10
10
10
00
01
00
10
10
10
00
00
11
01
10
11
11
01
01
11
00
11
10
00
11
11
00
01
01
11
11
10
00
00
10
00
11
10
01
10
10
00
10
11
10
00
01
10
10
10
00
00
10
11
00
01
00
01
01
11
11
11
11
01
10
10
00
11
11
00
00
10
01
00
00
00
10
10
10
11
00
10
01
00
01
00
10
10
10
01
00
01
11
10
00
10
10
10
11
01
10
10
10
11
00
10
11
11
01
00
10
00
01
00
00
10
10
00
01
00
10
11
00
01
00
10
11
01
00
00
01
11
11
00
00
00
00
11
00
10
10
00
11
11
11
00
10
00
10
00
00
10
11
10
10
10
10
00
00
01
10
10
11
10
10
10
01
01
00
11
11
11
00
00
00
10
11
00
00
11
01
11
10
00
01
01
00
10
10
01
01
10
00
01
10
01
00
10
11
00
00
11
10
00
01
00
10
10
10
11
00
00
11
11
10
00
11
00
00
10
00
11
00
00
00
10
00
01
00
00
11
00
00
10
01
10
10
00
01
11
10
00
10
01
10
10
10
00
00
01
10
11
00
00
00
10
01
11
00
00
00
00
00
10
10
11
00
10
00
11
00
01
01
00
01
10
10
00
11
10
10
00
01
11
01
10
01
01
10
10
00
10
00
11
10
10
10
10
10
00
00
00
00
01
00
00
00
10
10
10
10
00
00
00
00
10
10
01
11
01
10
00
10
10
10
11
11
10
00
10
10
10
00
01
10
10
00
01
01
00
11
00
01
01
00
00
00
10
10
10
00
00
00
10
11
10
00
11
00
10
10
00
01
00
10
11
11
10
01
10
00
00
01
10
10
00
01
10
11
01
10
00
00
01
10
00
00
10
11
00
00
10
10
01
00
10
10
10
01
10
10
10
00
10
01
10
11
10
10
01
00
10
10
10
01
11
00
00
10
01
01
11
10
01
00
11
10
10
01
00
10
10
10
00
10
10
11
10
00
01
10
01
11
01
10
00
00
10
10
00
00
11
11
01
11
11
00
11
10
01
10
00
01
10
00
01
01
10
10
11
11
10
10
10
00
10
00
00
10
00
10
11
01
10
00
01
10
10
11
10
00
11
11
00
11
01
00
10
10
01
00
11
10
01
10
11
00
00
10
11
01
00
10
01
11
11
00
10
11
01
01
10
10
10
10
11
00
01
10
00
01
01
10
10
00
01
01
00
10
01
10
10
00
00
00
01
10
10
10
10
10
10
00
00
01
00
10
01
11
00
10
10
01
00
10
10
10
11
10
01
00
01
00
01
00
10
10
00
01
10
00
00
00
11
00
10
11
01
01
11
11
10
10
00
01
00
00
10
10
10
00
00
00
00
11
00
00
11
11
00
10
11
00
00
11
10
01
00
01
00
01
00
10
10
00
10
00
01
10
00
11
00
01
00
01
00
01
00
10
00
00
11
10
10
10
11
00
11
00
00
00
10
01
00
10
10
00
00
01
00
11
11
10
10
11
00
10
01
01
00
10
11
00
01
00
10
10
01
01
10
11
01
00
10
10
01
00
10
10
11
01
00
10
00
11
00
01
10
10
01
10
10
00
10
10
10
00
00
11
00
00
11
11
00
11
10
00
01
11
11
01
00
10
11
00
10
10
10
00
10
11
00
01
00
11
00
01
00
10
10
01
00
10
01
01
10
11
10
00
00
10
10
11
00
00
00
00
10
10
10
00
10
00
10
11
01
11
10
00
10
10
10
00
00
00
01
01
00
10
00
10
11
11
10
01
10
10
10
10
11
00
00
10
10
01
10
00
01
10
10
01
10
10
00
10
10
10
01
10
11
01
00
00
01
01
00
00
01
10
00
00
10
10
01
00
10
10
10
00
00
01
00
01
11
10
10
10
00
00
10
10
01
11
10
01
11
00
10
00
10
01
10
10
11
11
00
00
10
10
01
00
11
00
00
10
00
10
01
10
10
10
10
10
00
01
10
10
00
00
11
11
10
00
00
10
10
10
10
00
00
01
11
00
00
10
00
10
01
01
00
11
10
00
00
11
11
10
01
10
10
00
01
00
00
10
10
10
01
10
01
00
11
01
00
10
01
10
00
10
10
10
00
00
11
11
00
10
01
00
00
00
00
10
10
00
01
00
00
10
11
10
01
00
10
10
00
00
01
11
11
00
01
00
10
01
00
11
10
00
11
11
10
10
10
00
10
10
00
10
11
00
10
10
10
10
11
00
10
01
01
10
10
01
10
00
11
10
00
01
00
11
11
01
10
11
00
10
00
10
10
00
00
10
01
00
11
10
00
11
00
00
00
00
10
00
11
01
11
10
01
10
00
00
10
10
00
00
10
01
01
10
11
00
10
10
00
00
00
01
01
10
10
00
10
10
01
10
00
11
01
01
10
00
00
01
10
11
01
01
10
01
01
11
10
10
10
00
00
10
10
01
00
01
10
10
00
00
01
00
11
10
10
11
10
00
01
01
10
01
11
00
10
10
10
00
10
10
11
01
00
00
01
10
11
00
01
11
11
00
11
11
00
01
00
11
01
10
10
11
00
00
10
11
10
00
00
10
00
00
00
00
01
10
10
10
01
10
01
10
10
10
00
00
10
00
00
00
00
10
10
00
00
01
00
00
00
00
00
01
00
10
10
00
01
10
00
00
10
00
00
00
10
10
01
10
00
10
10
00
10
10
10
01
00
01
00
10
10
00
11
11
00
00
11
00
00
10
10
11
00
10
00
10
10
00
01
10
00
00
10
11
00
11
10
10
10
00
01
11
10
10
11
00
10
00
00
00
00
11
01
11
10
00
11
00
00
01
01
10
10
00
00
00
11
10
11
00
01
10
10
01
10
00
11
10
00
10
11
10
10
11
00
00
01
00
10
00
00
01
10
11
00
10
10
01
00
11
00
01
00
10
10
00
11
10
00
00
10
00
00
01
01
10
11
10
10
01
01
00
01
00
11
01
00
00
01
00
10
00
00
00
10
01
10
10
00
00
11
11
10
00
01
10
01
00
10
10
01
00
01
11
01
00
01
01
10
00
11
10
00
00
10
00
00
00
01
00
11
11
10
11
01
00
10
01
01
11
10
01
01
00
00
10
01
10
10
10
00
10
10
01
10
00
10
00
11
10
11
10
01
10
00
00
10
10
00
01
11
10
00
01
10
00
11
10
01
00
00
10
01
10
10
00
00
00
10
01
00
11
11
10
00
00
11
00
00
10
10
01
00
11
00
00
10
11
10
01
10
00
00
11
11
11
00
00
10
10
00
10
00
00
00
10
00
01
11
10
10
00
10
10
01
10
00
11
10
00
10
11
00
00
10
00
00
11
11
11
11
01
11
01
00
01
11
11
01
00
10
10
01
00
10
00
10
00
00
00
00
10
10
10
10
00
00
10
10
00
11
01
01
10
11
11
00
00
10
00
00
11
11
01
10
10
00
10
00
00
00
10
10
00
01
01
10
00
00
00
00
10
01
11
01
11
00
10
10
10
00
10
01
00
11
10
10
11
00
01
11
01
01
10
11
00
10
11
01
10
10
01
01
10
00
10
10
01
01
01
10
10
10
00
00
00
01
10
11
10
00
00
01
00
00
00
10
01
00
01
01
00
10
01
00
11
10
11
01
01
10
00
00
11
10
01
00
10
10
10
01
01
11
11
10
11
00
10
11
00
01
10
11
01
01
00
01
00
11
00
00
01
00
00
10
11
11
10
10
01
00
11
00
00
10
01
00
01
00
10
11
01
11
11
00
00
11
10
00
01
10
00
00
11
00
10
10
01
00
00
11
00
11
11
00
11
10
10
10
00
00
00
11
00
01
10
00
00
01
11
01
11
00
10
10
01
10
10
00
01
10
01
00
11
11
10
00
10
00
00
00
10
10
10
01
00
01
01
10
00
11
01
11
01
10
11
10
01
00
01
10
10
00
11
10
00
00
10
11
10
01
10
00
10
11
00
00
10
00
00
00
11
11
00
10
01
00
01
01
10
10
01
01
00
01
10
10
00
10
00
01
11
11
10
10
10
10
01
00
01
10
10
00
00
11
00
00
10
10
01
01
10
10
11
10
00
01
00
10
00
10
10
10
00
00
10
10
00
10
10
10
10
01
00
10
00
01
10
10
00
00
10
11
01
00
01
11
10
10
10
10
10
00
00
01
10
01
10
10
10
11
10
01
00
10
01
10
10
01
10
00
11
11
01
00
11
01
11
00
00
10
10
10
00
00
10
00
00
10
01
10
11
10
01
10
11
10
00
00
10
00
01
00
10
10
11
00
00
11
00
11
01
11
00
01
10
10
00
00
01
10
11
10
01
10
00
10
11
10
00
01
11
10
10
10
01
00
10
01
01
01
10
10
01
00
11
10
11
00
10
00
01
01
11
01
01
10
10
01
01
00
00
10
10
11
00
01
10
00
00
11
10
01
10
11
10
00
00
01
10
11
01
00
10
11
10
10
00
11
00
00
10
00
01
10
11
10
01
00
00
10
10
00
01
00
10
00
10
10
10
00
00
00
10
00
01
11
01
00
10
10
10
00
10
11
00
00
10
00
01
00
00
10
10
00
11
11
10
00
00
01
01
01
01
10
00
10
01
01
10
10
10
11
00
00
01
10
10
10
01
10
00
01
10
00
10
00
00
00
10
10
10
00
10
00
10
00
10
10
00
11
10
00
11
11
00
10
01
10
10
00
11
00
10
11
10
01
00
00
10
10
10
01
11
10
00
00
10
11
10
10
01
10
01
01
10
00
00
10
10
01
00
10
10
00
00
00
10
00
10
00
10
10
00
11
10
11
11
01
11
10
01
00
10
10
00
00
00
00
10
11
10
10
10
01
10
11
01
10
11
10
00
10
01
00
01
01
11
10
10
10
00
10
10
01
11
00
00
10
00
10
11
10
00
11
00
00
00
10
10
01
00
01
11
11
00
10
00
00
10
10
00
00
11
00
00
11
11
01
10
00
00
00
01
11
11
01
01
00
10
00
00
01
01
10
10
01
01
10
10
00
10
00
10
10
10
00
01
00
11
10
01
10
11
11
01
00
11
11
00
00
10
00
00
10
11
10
11
01
00
00
00
10
00
00
10
01
11
00
00
00
11
00
00
10
00
00
10
10
01
01
10
00
10
01
10
10
00
01
01
10
11
10
11
10
11
00
01
00
10
00
00
01
10
00
11
01
01
11
10
10
00
00
11
10
00
01
00
10
11
00
01
11
01
00
10
01
10
11
10
01
00
00
11
10
10
10
11
00
00
00
01
01
00
00
10
11
00
01
10
10
10
10
00
10
10
00
11
10
10
00
01
00
00
11
00
10
00
10
10
10
00
01
11
11
00
00
10
10
01
01
00
11
10
00
10
10
00
11
01
10
00
10
01
01
11
00
10
00
00
10
00
00
10
00
01
00
00
11
10
00
11
10
01
00
10
11
00
00
10
11
10
00
00
10
00
01
10
10
01
10
01
10
00
10
11
00
00
11
11
11
00
00
00
00
10
11
00
10
00
10
10
10
00
00
10
00
10
10
11
00
10
11
00
11
10
10
11
00
00
10
00
00
11
00
00
00
10
11
00
00
10
10
00
01
01
00
10
00
10
11
10
01
00
10
01
00
11
10
00
00
10
10
11
01
00
11
00
11
01
11
00
01
00
10
00
00
10
11
10
01
00
10
00
11
10
00
10
10
10
01
00
11
10
00
00
00
00
01
10
11
10
10
10
00
11
10
11
00
00
10
11
11
00
10
11
11
00
11
11
00
00
11
10
00
10
00
00
10
10
10
01
00
11
00
00
00
00
10
11
11
01
10
10
10
11
00
00
10
10
11
10
00
00
01
10
11
10
01
00
01
01
11
01
11
10
00
10
10
10
10
00
01
10
10
10
00
01
11
11
00
00
00
01
00
00
10
00
00
11
10
10
00
10
01
10
11
10
10
00
11
11
00
01
11
10
01
00
00
01
10
11
00
01
10
11
01
00
00
00
00
10
00
01
00
10
11
00
10
10
00
10
01
00
10
01
10
10
01
10
00
01
00
01
01
10
10
11
01
00
00
10
11
11
10
00
00
10
00
11
10
01
00
00
00
01
01
10
00
10
10
00
01
00
00
00
00
11
10
10
00
01
00
10
10
01
01
00
11
11
11
00
10
00
00
11
10
01
00
10
00
00
10
00
01
10
10
00
00
00
01
11
10
11
10
01
10
00
10
10
11
01
10
11
10
01
10
00
01
10
10
01
10
11
00
01
10
11
01
00
00
00
10
10
00
00
10
00
01
10
11
10
00
11
10
01
10
00
01
11
11
00
00
00
11
01
00
10
10
10
10
10
01
10
10
00
11
10
10
00
10
01
01
11
11
00
10
00
01
10
11
01
10
10
00
10
11
00
00
10
11
10
10
10
00
01
11
00
10
01
00
00
00
10
00
10
00
01
10
00
01
11
00
00
10
10
00
00
10
10
00
01
10
10
11
10
10
00
10
01
00
11
10
00
10
01
01
00
10
11
10
00
00
00
01
00
10
11
11
00
11
01
10
10
10
11
10
11
10
00
00
00
11
01
10
11
11
00
00
10
10
01
00
11
11
11
11
10
10
00
11
10
11
00
00
10
10
00
00
10
10
00
00
10
00
01
10
00
11
10
01
00
01
10
10
00
00
10
10
10
00
00
01
00
10
10
10
11
10
00
01
10
01
10
10
10
10
00
01
00
01
00
01
10
10
01
10
01
00
00
10
00
10
11
00
00
10
10
01
00
00
11
10
00
11
11
01
10
11
11
00
01
10
10
00
00
00
10
01
00
10
00
00
11
10
00
00
10
10
10
00
00
00
10
01
10
00
10
11
00
01
10
10
11
01
00
00
00
11
00
10
10
11
00
11
01
11
01
00
10
01
10
11
00
10
10
10
10
10
00
00
10
10
00
10
01
10
00
00
01
00
10
11
10
10
10
00
00
10
00
11
01
00
10
00
10
00
10
01
11
00
10
00
10
01
00
10
00
00
11
00
10
10
00
01
00
11
11
00
01
01
11
00
10
10
00
00
00
10
10
00
01
00
00
01
00
11
00
10
10
10
00
10
11
11
00
10
10
10
00
01
10
00
11
00
00
00
10
10
00
00
10
11
01
00
00
01
11
11
00
00
10
01
00
00
10
00
11
01
11
10
10
01
01
10
01
01
00
10
10
11
10
01
10
10
01
11
01
01
01
01
11
11
00
01
01
10
11
01
11
10
10
00
00
01
11
00
00
11
10
01
10
10
11
00
01
00
01
10
00
10
00
00
10
10
00
01
10
11
10
11
10
10
00
10
00
01
01
10
11
01
00
11
00
00
00
11
11
10
10
01
11
00
00
00
10
10
10
10
11
10
01
00
11
10
10
00
11
00
01
10
00
10
10
00
10
01
11
00
00
10
10
00
10
00
11
00
01
10
00
01
11
01
11
01
00
11
01
00
10
10
01
00
00
10
11
01
01
11
11
00
00
10
01
10
10
00
01
10
01
10
00
10
10
00
11
00
00
00
01
00
10
01
00
00
10
10
10
11
00
00
11
10
00
11
01
00
11
10
10
10
00
11
00
00
10
11
10
00
00
10
00
10
01
11
00
11
10
01
00
01
10
10
10
00
10
10
10
01
00
00
11
10
10
10
00
01
00
00
10
00
00
01
10
10
00
00
00
11
00
00
10
01
01
00
11
11
00
10
01
00
00
10
10
00
00
10
00
10
10
00
11
00
11
01
10
10
10
00
00
00
00
11
00
10
10
00
10
00
00
10
11
00
00
00
01
10
10
11
01
10
10
01
10
10
00
00
11
10
01
10
10
00
00
10
10
01
00
10
11
10
01
00
01
10
11
01
00
11
01
00
11
00
00
10
00
00
00
10
10
10
01
00
10
11
11
00
00
11
11
11
10
00
00
11
10
00
10
00
10
11
01
11
00
11
00
00
11
10
10
10
10
01
00
10
00
01
01
00
11
00
10
10
11
10
01
00
10
10
01
10
10
00
01
11
01
11
01
10
10
00
11
11
01
00
11
11
00
11
10
10
00
00
10
00
00
10
10
00
00
01
00
10
00
00
10
10
00
11
00
00
00
11
10
10
00
00
00
10
10
01
01
00
00
11
10
01
10
00
00
01
10
01
10
10
01
11
11
01
00
10
01
11
00
00
00
00
10
00
11
00
10
10
00
00
00
00
01
01
10
10
01
10
01
00
10
01
00
00
10
00
00
00
11
10
00
00
10
10
10
00
01
01
10
01
00
10
11
10
10
00
11
01
10
10
10
10
00
00
00
11
00
00
01
10
01
01
11
10
10
10
00
10
10
00
10
00
10
01
11
11
00
00
10
11
01
01
01
11
11
01
00
00
11
10
00
01
11
10
01
01
01
10
01
00
01
00
11
11
00
11
10
01
00
10
11
10
01
00
10
00
10
01
00
10
11
01
00
10
00
10
11
11
10
00
00
00
10
00
01
00
11
11
10
01
10
00
00
00
10
10
01
00
11
10
00
10
00
11
11
11
00
10
11
00
00
11
11
11
10
00
00
00
01
00
00
10
10
10
10
01
00
00
01
11
10
00
10
10
10
11
01
10
00
00
00
10
11
01
10
00
01
01
00
11
10
10
00
10
11
10
00
01
10
00
00
10
00
10
11
10
01
11
00
00
10
10
00
10
10
10
00
00
10
01
01
01
10
10
11
00
10
10
00
00
10
10
10
10
00
11
01
00
10
11
00
10
11
00
01
00
11
01
10
00
10
10
00
10
11
11
00
01
11
10
01
01
11
00
11
10
00
10
00
00
11
01
11
01
00
11
10
00
01
10
11
01
11
10
00
10
11
00
00
00
10
00
10
01
10
00
00
10
00
00
10
01
10
10
00
00
01
00
00
10
00
00
10
10
10
10
00
00
10
11
10
00
01
01
01
00
11
11
11
01
01
01
10
11
01
00
10
11
01
00
01
11
11
11
00
00
01
00
11
01
00
10
11
10
10
00
00
10
11
10
00
00
10
10
11
00
11
10
10
00
01
10
00
01
01
11
11
00
00
11
10
01
10
00
11
01
11
01
01
10
00
01
00
00
10
10
11
11
01
00
00
00
10
10
11
11
00
10
10
01
10
01
01
01
10
11
10
11
10
00
00
00
10
11
10
10
00
10
00
11
00
10
10
01
00
10
11
00
10
00
11
00
01
10
00
00
11
00
11
10
11
10
11
00
10
00
10
00
11
10
00
10
10
11
10
11
00
10
10
00
01
11
10
10
10
00
01
11
00
00
10
11
01
00
10
10
00
00
10
01
00
11
10
00
00
10
10
00
00
10
10
10
01
11
11
10
01
00
00
10
11
01
01
10
10
11
11
00
01
11
00
00
10
00
00
00
11
10
10
10
10
00
11
11
00
00
01
01
10
10
01
10
10
10
11
10
10
00
01
00
00
11
10
01
00
11
01
01
00
01
01
10
00
10
10
00
00
11
00
10
10
10
10
01
00
10
00
01
01
01
10
11
11
10
10
01
00
00
10
10
10
01
00
10
10
01
11
10
11
00
00
01
01
10
01
00
00
00
10
00
10
10
10
10
11
10
10
11
10
10
01
01
01
10
10
00
10
10
11
01
11
10
01
11
00
00
00
01
10
00
00
10
11
10
11
01
01
10
00
10
00
10
10
00
10
10
10
00
10
00
11
00
11
10
11
10
00
10
00
00
11
11
01
11
10
00
10
01
10
11
00
11
11
00
00
10
00
00
00
10
00
00
01
10
00
00
00
00
00
11
10
11
00
00
01
00
10
11
01
11
11
10
00
01
10
11
10
00
00
10
01
11
00
11
01
00
10
10
01
11
10
11
10
00
00
10
00
10
00
10
10
00
01
01
01
11
10
00
10
01
00
00
01
10
11
00
10
10
11
10
01
11
10
01
10
00
11
10
00
10
10
00
10
10
00
01
11
00
10
00
10
01
00
10
10
10
10
11
00
00
00
10
10
10
00
10
10
10
10
10
01
11
00
00
01
00
11
01
10
11
10
01
10
01
00
01
00
11
00
00
00
10
00
10
11
00
11
01
00
11
01
00
10
11
10
00
10
00
00
10
10
01
00
00
01
10
10
00
10
10
00
10
10
11
00
00
01
10
01
10
00
10
10
10
01
10
11
01
00
00
10
00
00
10
10
01
10
11
10
10
00
11
00
10
00
00
10
00
10
11
00
00
00
01
00
11
01
11
10
10
00
10
00
00
10
11
11
01
10
10
00
01
01
01
00
10
10
10
01
00
10
10
00
10
10
00
10
01
10
10
01
00
00
00
10
11
00
11
10
01
11
10
10
01
11
10
10
00
00
00
10
00
11
00
10
00
11
10
00
11
00
10
11
01
10
11
10
01
00
10
10
10
00
00
10
10
10
10
00
01
11
10
00
10
11
00
01
00
11
11
11
00
00
01
01
00
00
10
10
01
10
10
10
00
10
01
10
10
10
00
11
01
10
11
01
10
00
10
00
00
10
10
00
00
01
10
11
10
00
10
10
00
10
11
00
01
10
10
11
01
10
00
01
10
00
10
00
11
00
10
10
11
00
01
11
00
00
10
11
01
10
10
01
10
10
10
10
00
01
00
10
10
10
10
00
00
10
10
00
10
10
00
00
10
10
01
01
00
11
11
00
01
10
00
00
10
11
10
00
00
10
10
00
00
11
01
11
10
01
00
10
10
01
00
10
10
00
10
11
00
10
01
00
11
10
00
01
00
10
00
10
10
00
01
10
11
00
00
00
11
11
11
00
00
10
00
11
10
11
00
00
10
10
00
00
11
10
01
10
11
10
10
00
00
00
10
11
01
00
11
00
10
10
10
11
00
01
10
11
11
10
00
00
10
11
10
00
10
00
01
10
10
10
10
11
01
01
00
01
01
10
00
01
11
11
10
00
00
10
11
01
00
11
01
00
10
10
10
00
00
00
10
00
10
10
01
10
10
10
11
10
00
11
10
11
00
00
00
10
10
10
01
11
10
00
00
10
10
00
00
00
10
10
00
10
00
10
00
00
00
00
10
00
10
00
00
10
01
10
11
00
00
11
00
11
11
11
00
11
11
10
11
00
00
10
01
00
10
01
10
11
01
00
10
10
11
00
00
11
00
01
10
01
11
10
00
11
10
01
00
10
10
01
11
01
00
10
10
00
11
01
10
11
00
11
11
01
10
00
00
10
00
10
10
00
10
10
00
11
00
10
00
00
01
00
00
11
10
10
00
00
00
01
01
10
11
01
10
00
11
10
00
01
00
11
10
01
00
01
10
00
10
10
11
11
10
00
10
01
00
11
10
10
11
00
11
00
10
10
00
01
11
11
00
11
00
10
00
01
10
01
10
10
10
00
00
10
10
10
10
01
10
11
00
00
00
10
01
00
10
10
00
10
10
01
10
00
10
10
01
00
10
10
00
10
11
00
01
10
10
00
00
10
01
10
00
00
10
00
01
10
10
00
00
10
00
10
01
10
10
00
00
00
01
10
01
00
10
01
10
00
11
10
10
00
00
11
00
10
10
11
10
10
11
00
00
01
01
10
10
00
10
01
10
11
00
01
00
00
01
11
10
11
01
10
01
00
00
00
10
10
00
00
10
01
11
00
00
00
00
10
10
10
10
00
10
10
10
00
01
00
00
00
00
00
00
10
00
10
10
11
10
00
10
00
00
11
00
00
10
01
01
10
10
00
10
00
01
11
11
01
00
01
00
00
11
00
10
10
01
00
01
00
00
00
01
00
01
00
11
10
00
01
10
10
01
00
00
01
10
10
00
00
00
10
10
00
00
01
00
10
01
00
11
00
10
01
01
01
11
10
00
01
10
10
10
01
01
11
11
01
00
10
00
10
11
00
00
11
00
10
10
10
11
11
00
01
00
00
00
11
01
00
10
11
01
01
00
10
10
00
10
11
00
01
10
10
10
01
00
10
00
01
00
10
00
00
10
10
00
10
00
10
10
10
10
00
10
00
10
11
00
00
00
00
00
00
00
00
11
01
01
10
10
11
00
10
10
01
00
10
11
10
00
00
01
00
01
00
10
10
10
10
00
01
10
00
01
10
11
01
00
11
00
10
01
00
10
11
10
10
00
00
00
10
00
11
11
00
01
10
00
00
11
00
00
11
00
00
00
00
11
00
00
00
00
10
00
00
10
10
10
10
01
10
10
00
00
11
00
00
01
10
00
10
10
01
11
10
00
10
00
00
11
01
11
10
00
10
11
00
01
00
11
11
01
10
10
00
00
00
10
01
01
10
00
00
01
10
01
10
01
00
01
10
11
00
10
01
00
00
11
10
11
00
10
10
00
00
01
00
10
10
00
11
10
10
01
11
10
10
01
10
01
10
10
01
00
01
11
01
01
10
00
10
10
01
01
00
11
11
10
11
01
00
11
01
00
11
00
11
11
11
01
00
01
10
11
00
00
00
11
10
10
10
01
01
11
00
10
11
00
10
10
10
01
00
00
00
10
00
11
00
01
01
11
10
01
10
01
11
10
11
01
00
10
10
11
00
00
10
00
01
11
01
10
10
01
10
10
00
00
11
00
00
10
00
00
11
00
00
01
01
01
01
10
10
01
01
11
11
00
00
00
11
11
11
00
00
01
11
10
01
00
10
11
11
11
10
00
01
11
00
01
00
11
11
10
01
01
11
00
10
00
10
10
00
10
10
10
00
01
00
10
00
10
10
01
11
00
01
10
10
01
00
11
10
00
00
10
00
11
11
00
00
10
01
00
10
00
00
00
11
10
10
00
10
00
01
10
00
01
00
11
00
11
11
10
10
00
00
11
00
00
00
10
11
10
11
10
10
11
10
00
00
10
10
11
00
00
10
00
11
10
00
10
00
11
11
10
00
10
01
11
10
01
00
00
10
11
01
11
01
00
10
01
10
10
00
10
10
10
00
00
11
11
01
10
00
10
00
10
10
00
00
00
10
01
00
00
10
10
10
11
00
01
11
00
00
11
11
10
01
10
11
00
00
10
01
01
10
01
00
11
10
11
00
01
00
10
00
00
11
11
10
00
11
10
11
00
01
10
10
00
10
01
00
00
00
10
11
00
10
10
01
00
10
01
10
10
10
00
01
10
11
00
00
10
01
11
10
10
11
00
00
00
11
10
00
00
00
00
10
00
01
11
01
00
00
00
01
01
11
00
10
11
10
01
10
10
01
10
01
00
11
00
10
10
10
11
00
10
10
11
11
01
00
00
10
00
10
00
00
11
10
10
00
10
01
01
10
10
10
00
10
11
10
01
01
01
00
00
10
11
10
00
10
00
01
10
11
10
10
10
00
01
10
11
00
00
00
01
00
11
10
10
00
00
00
11
00
01
00
10
00
10
10
00
01
10
00
00
00
11
11
11
00
01
11
10
10
01
00
11
00
11
00
00
01
00
10
01
10
10
10
10
00
10
00
00
00
01
10
00
11
01
10
00
00
00
00
00
10
10
01
11
00
00
00
10
10
10
00
10
00
00
10
01
00
10
01
10
10
00
00
11
11
01
11
01
01
00
10
10
01
00
10
11
00
00
00
11
00
00
00
10
00
11
10
01
11
11
00
10
10
01
11
10
00
01
00
00
11
10
10
11
00
00
01
10
00
00
01
00
10
10
11
10
10
00
00
01
00
10
10
01
11
00
10
10
00
01
11
11
01
00
00
10
11
00
11
01
00
00
10
01
00
10
00
10
10
10
11
10
00
11
11
01
00
00
11
00
00
11
11
00
01
10
00
10
00
10
01
01
10
00
00
01
10
11
10
00
10
00
11
00
10
10
00
01
10
10
00
01
00
00
10
10
10
01
10
01
00
01
01
10
10
11
10
00
10
10
00
00
10
11
00
00
00
00
11
00
01
10
00
00
00
10
01
00
10
10
01
00
10
00
11
01
01
11
00
10
01
10
10
00
01
10
10
11
01
01
10
11
00
11
00
00
11
10
10
00
01
00
01
10
10
10
00
00
11
11
10
10
00
10
11
01
01
01
11
00
10
11
00
10
11
00
01
10
10
11
10
10
00
00
11
00
10
10
00
00
10
10
00
00
11
10
10
01
00
10
00
01
10
11
10
01
01
10
11
01
00
11
01
00
11
11
01
00
00
10
10
01
01
01
10
10
00
10
01
11
00
10
10
01
11
00
11
00
01
00
10
11
00
10
11
11
10
11
01
00
00
00
10
10
00
11
00
01
10
11
00
10
10
00
10
10
00
00
10
10
01
00
11
00
00
10
01
00
10
01
00
01
10
10
11
10
11
10
01
00
00
11
10
01
11
01
01
10
01
00
11
10
10
01
00
00
01
00
10
00
01
10
10
10
00
10
10
10
11
10
10
00
10
01
10
00
00
10
11
10
10
10
01
00
11
11
11
11
00
01
11
11
00
10
10
00
00
10
01
01
01
00
01
10
10
11
10
10
01
00
10
00
10
11
00
00
00
01
11
11
11
10
11
00
00
10
01
00
10
10
00
00
00
01
10
10
10
10
11
00
01
10
10
00
10
00
01
10
11
01
00
10
10
01
10
01
10
00
11
11
11
01
10
10
00
11
10
00
11
11
01
10
10
00
00
00
10
00
10
01
00
10
00
01
10
10
00
10
00
11
01
01
01
11
00
00
10
10
00
01
10
10
00
10
00
01
11
01
00
11
01
01
01
10
10
00
10
01
11
10
00
10
11
00
00
00
10
00
00
11
01
10
11
10
10
01
10
10
00
00
10
00
10
10
11
00
00
00
00
10
00
00
11
00
00
10
10
01
00
11
10
00
11
01
10
11
01
00
00
11
11
10
10
00
10
00
00
00
00
00
01
11
00
10
00
11
01
11
00
01
10
10
11
10
00
01
01
10
00
01
10
00
00
11
10
10
10
00
01
11
00
00
10
00
11
10
00
00
10
10
10
00
10
01
01
10
00
01
11
00
10
10
01
10
10
00
10
10
11
00
10
10
00
11
01
11
00
11
00
00
10
00
00
00
10
00
11
11
10
10
10
11
10
01
00
01
10
10
11
00
00
10
10
00
01
01
10
00
10
01
00
00
01
10
01
00
01
00
00
01
00
10
10
00
00
00
10
11
00
01
10
10
01
01
01
10
11
00
10
00
11
11
10
00
00
10
00
11
10
10
00
10
00
10
10
00
10
10
00
01
10
00
10
00
00
10
10
00
10
10
11
10
11
10
10
10
11
10
10
01
01
10
11
00
10
10
00
00
11
10
00
00
01
01
11
00
00
01
10
10
00
00
11
00
01
11
00
00
11
01
10
00
10
00
10
10
00
11
11
01
00
11
11
00
00
11
10
01
00
01
10
10
10
01
01
11
11
00
01
10
10
00
01
11
10
11
00
10
11
10
10
00
00
01
00
00
00
10
01
00
10
00
00
10
00
00
10
10
00
11
00
01
01
00
00
00
00
11
10
00
00
10
10
00
00
10
00
10
00
00
00
00
10
10
10
10
10
01
00
10
00
00
01
00
10
11
10
00
10
11
00
11
11
10
00
11
00
00
10
10
00
00
10
01
10
01
11
10
11
00
10
01
01
10
00
11
00
10
10
01
10
00
00
10
10
00
00
10
10
00
00
10
00
00
11
11
10
00
00
01
01
01
11
01
00
11
00
01
10
10
00
00
10
10
00
00
00
01
10
00
00
11
00
11
11
10
00
00
01
10
11
11
01
00
00
01
10
01
01
10
10
10
01
01
01
11
01
10
10
00
01
10
01
00
10
11
00
10
10
01
00
00
10
01
11
10
10
11
10
01
00
10
10
11
00
11
01
01
11
10
00
01
00
00
10
11
00
01
10
10
00
00
10
00
00
10
10
10
10
00
01
10
01
01
11
10
00
10
00
00
00
10
11
00
01
10
00
10
11
00
01
10
10
01
00
11
10
00
01
00
01
10
00
10
10
01
00
10
10
00
10
01
11
10
01
11
11
00
00
11
00
00
11
00
10
00
10
01
11
00
01
10
10
10
01
10
01
01
00
10
00
00
10
11
00
11
01
11
11
10
10
11
00
00
10
00
00
01
01
10
00
10
10
01
00
00
01
00
10
11
10
00
01
11
10
10
00
00
11
00
01
00
11
11
00
11
10
00
00
01
00
00
10
10
00
00
11
10
11
11
10
00
10
00
01
01
10
01
10
11
01
01
11
10
00
00
10
11
10
00
00
00
10
10
10
00
00
01
01
00
00
11
00
11
10
10
10
10
10
10
00
01
11
11
00
00
00
01
10
10
10
10
00
00
01
00
10
00
00
01
00
11
11
11
00
00
10
10
10
00
10
10
01
00
11
10
01
00
10
11
00
00
10
00
00
00
10
10
00
01
00
10
00
10
10
10
10
00
00
00
10
11
10
01
10
11
00
01
00
11
10
00
00
11
10
01
01
11
00
10
10
01
11
11
00
00
11
00
10
11
10
01
10
00
00
01
10
10
00
10
00
00
01
01
10
10
01
11
01
10
11
00
00
10
00
00
00
10
10
00
10
00
00
00
01
00
00
01
10
01
00
00
00
11
10
01
10
10
10
00
10
10
10
00
00
00
10
10
10
00
00
00
01
11
10
10
10
11
10
11
01
01
00
00
10
10
00
00
11
11
01
10
10
00
01
00
11
00
11
11
11
10
11
11
00
01
10
01
11
01
01
10
01
00
10
00
00
00
11
00
10
10
10
10
01
11
00
00
00
11
00
01
01
10
11
11
00
01
10
00
10
01
00
11
10
00
10
10
00
10
10
11
00
10
10
01
00
11
10
10
00
00
00
10
10
00
01
00
00
00
00
11
00
11
10
11
01
10
11
00
10
01
00
11
11
00
10
00
11
11
00
01
10
10
10
10
00
10
10
01
11
01
10
10
10
01
00
00
10
10
01
00
00
10
10
00
00
00
00
11
11
10
10
00
01
10
10
10
00
10
01
11
10
10
10
00
00
11
00
01
10
10
00
11
11
10
10
00
01
00
01
00
11
00
10
00
00
11
11
10
10
01
10
10
10
01
01
10
11
10
00
10
00
10
00
01
10
01
01
10
10
00
00
00
00
10
11
00
11
01
10
00
10
00
00
11
10
00
00
01
00
01
00
10
10
01
00
11
01
00
10
00
10
11
10
01
10
00
00
11
00
10
00
11
01
00
10
11
01
00
10
11
11
01
01
01
10
11
10
00
01
10
10
10
01
01
10
00
10
10
00
00
11
10
10
00
01
01
10
10
10
11
10
00
01
11
10
10
11
00
01
00
10
11
11
01
00
00
00
10
00
10
10
01
00
00
00
11
01
11
00
00
11
00
10
11
00
01
10
00
01
11
01
00
10
10
11
10
11
00
00
10
10
10
01
01
00
10
10
01
10
10
00
01
11
10
00
10
01
10
00
11
10
10
10
10
10
00
00
00
10
10
10
11
11
11
00
00
01
10
11
10
10
00
00
00
10
10
10
00
10
00
01
10
10
01
01
10
11
00
10
10
01
10
10
01
01
00
10
10
00
11
11
00
10
10
00
11
11
11
10
01
10
10
01
00
10
01
01
11
00
01
00
00
10
11
11
00
00
01
00
01
10
10
10
00
10
10
10
00
00
11
01
01
01
10
10
00
10
01
00
10
11
11
00
00
10
10
10
10
00
11
01
01
10
00
00
00
00
11
10
01
10
01
00
00
00
11
11
10
00
00
11
01
00
10
11
01
01
10
10
00
00
10
11
01
00
00
11
10
11
10
01
10
01
10
11
11
00
10
11
01
01
11
01
11
00
11
10
00
10
10
00
00
10
10
01
00
10
10
10
10
01
00
10
00
00
10
00
00
10
11
00
01
10
10
00
11
10
00
00
10
10
00
01
00
10
10
10
00
10
11
01
00
00
10
00
10
10
01
01
10
10
01
11
10
00
01
11
00
00
10
00
10
00
10
00
00
11
00
00
01
01
01
10
00
10
10
01
11
01
11
00
00
10
01
10
11
00
00
10
00
00
11
10
00
00
11
10
10
10
00
00
11
01
00
01
11
11
00
00
00
10
01
01
00
11
10
00
01
11
10
00
01
11
00
10
10
11
01
01
00
10
10
00
10
10
00
00
01
10
10
10
11
00
01
00
01
10
00
01
00
00
00
11
10
00
00
00
01
00
11
10
10
10
01
11
01
10
01
10
00
01
10
01
00
10
11
10
10
01
11
10
11
00
01
10
11
01
00
11
10
10
01
10
10
00
10
10
10
00
00
10
10
10
10
01
11
10
10
00
01
00
00
00
11
10
01
10
01
11
01
10
00
10
10
10
00
01
00
10
00
01
01
11
11
10
00
01
00
11
10
11
00
11
00
00
00
11
11
01
10
11
10
11
11
00
10
10
01
01
00
10
10
00
11
10
00
00
10
00
01
10
11
00
00
01
10
00
00
10
10
00
00
11
10
11
11
01
11
00
00
11
01
10
10
00
01
10
00
00
10
10
00
00
01
00
11
11
01
00
01
10
11
01
00
01
10
10
00
00
10
00
00
11
00
10
11
10
10
10
10
10
00
00
00
01
01
10
01
10
00
10
10
00
10
10
00
10
10
01
10
10
11
00
00
10
10
00
10
00
00
11
10
10
10
01
10
10
10
01
10
00
01
10
10
11
10
10
00
01
00
01
11
10
11
00
01
00
00
00
00
00
10
11
00
00
11
01
01
01
11
11
00
11
10
10
01
00
10
00
00
00
10
10
10
00
00
10
00
01
10
00
00
10
11
00
01
11
10
10
10
00
10
00
00
01
10
11
10
00
00
11
10
00
10
11
00
11
11
10
01
10
11
10
10
00
00
00
10
10
00
10
10
11
00
00
01
10
00
10
10
11
11
00
01
00
10
00
00
11
00
01
10
11
11
01
10
10
10
00
10
10
01
00
10
10
01
10
10
00
10
11
01
01
00
00
01
10
10
11
00
10
00
10
00
01
11
01
10
00
00
00
01
11
10
10
10
00
01
00
01
11
10
10
11
10
00
10
10
00
00
00
00
01
10
00
00
00
01
10
00
00
10
01
01
10
10
11
00
10
10
00
10
10
10
00
00
10
10
00
01
11
11
00
00
01
10
11
10
10
11
11
00
00
00
00
00
10
11
00
00
00
10
01
01
11
00
00
10
00
01
11
00
00
11
10
11
10
00
00
00
10
01
10
10
10
00
10
00
00
10
01
00
11
01
10
10
00
10
11
00
10
01
01
11
10
01
10
11
11
01
10
10
00
10
10
01
11
10
10
00
00
00
01
11
00
00
01
01
10
10
00
00
10
10
10
01
01
10
01
10
00
10
01
10
10
11
00
10
00
00
11
00
01
11
11
01
10
01
00
11
10
01
00
11
00
11
11
01
00
11
00
01
00
10
10
00
00
01
00
10
11
01
00
10
01
11
11
00
01
00
10
10
10
10
00
00
11
11
00
10
10
00
00
11
00
10
10
10
10
01
10
00
00
01
10
01
00
11
00
10
00
10
00
10
11
01
10
11
10
00
00
11
00
00
00
10
01
01
01
10
10
01
01
11
01
01
11
10
11
10
10
00
00
11
11
00
01
00
10
10
00
00
10
11
11
00
00
00
00
10
10
00
10
01
10
00
10
00
01
00
10
00
00
01
10
00
10
11
00
11
11
00
01
00
10
10
11
00
01
11
10
10
10
11
10
11
01
10
11
10
11
11
11
01
00
00
10
10
10
10
00
01
11
00
00
11
10
10
00
00
00
00
00
01
00
10
00
01
00
01
01
11
11
10
00
00
10
00
00
10
10
10
10
11
00
11
00
10
11
10
01
10
00
01
10
11
00
00
01
10
10
00
01
11
11
01
11
10
01
00
01
11
10
00
01
00
10
10
10
00
00
10
10
01
00
11
01
11
00
10
00
01
11
11
00
01
11
01
01
00
11
00
00
10
11
10
00
01
00
11
10
01
00
10
11
00
11
10
11
00
10
10
00
00
11
11
00
10
10
01
00
10
00
01
01
00
10
11
00
01
11
00
10
10
01
00
10
10
10
10
10
10
11
00
11
10
00
01
01
10
00
10
10
01
00
10
00
01
10
00
00
11
11
00
00
00
10
11
00
00
11
10
01
10
01
11
10
01
00
00
11
10
01
00
00
11
00
00
11
11
00
00
00
00
01
00
11
00
10
10
10
10
00
11
10
11
01
00
11
10
01
01
11
11
10
00
00
00
10
10
00
00
00
11
00
00
10
10
01
10
11
10
10
00
00
10
00
10
10
01
10
01
10
00
10
11
01
10
00
10
00
10
01
01
10
00
10
10
10
11
00
00
10
10
01
00
00
00
00
00
10
11
10
00
10
10
00
01
00
10
00
01
10
10
11
10
11
10
10
01
00
00
11
00
10
11
11
00
11
00
00
10
11
11
10
11
00
01
11
11
00
00
10
10
00
01
10
11
10
11
01
00
11
11
00
00
10
00
00
10
00
10
10
10
01
10
10
10
00
00
10
10
00
00
00
10
10
11
10
01
01
00
01
00
11
00
00
11
10
00
00
10
10
10
01
00
11
00
00
00
10
10
10
10
00
11
10
00
11
11
00
00
00
10
10
10
00
00
11
10
11
00
10
10
10
10
01
00
11
00
01
10
10
10
00
10
11
00
10
10
11
00
01
10
00
10
11
00
11
01
00
10
11
00
11
11
01
10
10
01
10
10
00
01
11
10
00
10
00
11
01
10
10
01
00
00
00
00
10
10
00
01
00
10
00
00
00
10
11
10
00
10
00
00
10
00
00
11
00
11
10
11
10
00
00
10
10
00
00
11
10
01
10
11
01
11
10
00
11
11
11
00
00
01
00
01
11
10
11
00
10
10
00
00
00
10
11
11
01
10
10
00
00
11
00
01
00
10
10
01
00
11
11
00
01
10
10
11
01
00
10
00
00
11
11
10
10
00
01
00
00
10
10
01
00
10
00
11
01
01
00
00
00
00
01
00
11
10
11
00
10
11
00
00
10
10
00
00
00
10
10
00
00
01
00
00
01
00
11
00
00
10
10
00
11
01
00
11
10
01
10
00
00
10
10
00
00
11
00
10
11
00
10
00
10
10
00
00
10
00
10
11
10
10
00
10
01
10
10
10
00
01
00
11
10
00
00
00
00
11
01
00
11
00
00
00
10
10
00
10
10
01
00
00
01
10
10
00
00
11
00
00
10
11
00
11
00
10
11
10
11
01
11
01
10
01
10
01
00
10
11
01
01
10
11
11
10
10
10
11
01
10
11
11
00
01
10
01
10
11
00
10
10
00
11
10
10
11
00
01
11
10
00
10
10
00
10
10
10
10
11
01
10
00
10
11
10
00
00
10
10
00
01
10
10
01
11
01
10
00
10
10
00
11
10
00
00
01
00
10
00
10
10
10
10
00
00
01
00
11
00
11
10
10
11
11
10
00
00
10
10
00
01
01
11
00
01
11
00
00
10
10
01
01
10
00
00
11
10
00
01
00
00
10
01
10
11
01
00
01
00
00
10
11
00
01
10
00
10
00
00
01
11
11
10
11
10
11
01
01
01
10
00
00
00
10
10
01
01
01
00
11
10
00
00
10
10
00
10
11
01
10
10
00
11
10
00
00
10
11
11
10
01
00
10
00
01
11
11
00
00
10
11
10
11
10
01
00
11
11
11
01
11
11
00
10
10
10
00
00
00
10
11
00
00
10
01
00
00
00
10
10
01
01
10
11
00
00
00
11
11
10
00
00
01
00
10
10
01
01
11
00
10
10
01
11
11
00
10
11
11
10
01
10
10
00
11
00
00
01
10
11
00
00
11
11
00
00
10
10
01
11
01
10
10
00
00
10
11
11
00
00
11
01
11
11
00
00
10
10
00
00
10
10
10
10
10
10
00
00
11
01
11
11
01
00
11
00
00
01
10
10
00
00
10
10
00
10
10
00
00
10
01
00
11
10
11
10
10
01
11
10
00
00
11
00
00
00
10
11
01
00
00
10
10
00
01
10
10
11
00
01
00
10
00
10
10
00
01
10
10
01
10
01
10
01
00
11
10
00
00
10
01
10
01
10
10
10
10
10
10
10
00
00
00
00
01
01
11
10
11
01
01
00
00
10
10
01
10
11
11
00
10
00
10
10
11
01
00
00
01
10
10
01
11
11
10
11
10
00
00
10
10
00
10
01
00
10
10
01
00
11
10
10
10
00
11
10
01
00
10
10
11
10
01
10
11
10
00
00
10
10
01
10
11
11
11
00
10
00
00
11
00
00
10
11
11
01
00
01
01
10
00
01
00
10
10
00
00
11
11
00
11
10
11
10
10
01
00
01
11
10
00
00
11
10
11
00
10
00
00
11
10
11
01
10
10
10
01
00
00
11
10
00
00
00
00
10
10
00
11
11
01
01
11
10
00
00
00
00
11
10
00
00
00
10
10
00
00
11
10
01
10
00
10
10
00
00
11
10
01
00
11
00
11
11
00
10
01
00
01
11
10
10
01
00
11
10
00
00
10
10
01
00
10
10
00
01
10
00
00
11
00
00
10
10
10
00
10
10
01
10
00
00
01
01
01
10
10
00
10
10
01
00
11
11
10
10
10
01
01
10
10
00
00
10
00
00
01
10
10
01
10
10
00
10
10
01
00
00
00
10
00
00
00
10
10
10
10
00
10
10
00
10
00
01
11
00
01
00
01
00
00
01
10
01
00
10
11
00
00
01
10
10
11
11
00
01
11
10
11
01
01
00
10
10
11
11
00
00
11
11
00
00
00
11
00
10
10
10
10
00
00
00
00
10
00
00
10
10
11
01
10
00
00
01
00
11
11
11
01
01
10
01
10
10
00
10
10
00
00
10
10
00
10
11
00
11
11
00
00
10
00
00
00
10
10
00
10
00
10
11
10
11
00
11
11
01
10
10
00
00
11
10
10
11
01
11
00
00
10
00
10
01
01
00
11
10
10
11
00
10
00
11
11
01
01
11
11
00
01
00
11
10
01
10
11
10
01
00
10
01
00
00
00
10
11
00
01
11
01
00
10
10
00
00
11
10
00
11
00
01
11
10
10
10
01
00
10
10
00
10
11
10
11
01
01
00
00
10
11
10
00
00
10
10
01
00
00
10
00
10
10
10
10
01
11
00
00
00
10
10
00
10
00
00
00
11
00
00
10
10
10
10
11
00
10
01
00
11
11
11
01
00
10
00
01
00
10
10
00
10
10
10
10
01
10
10
10
11
00
11
00
00
00
11
00
00
10
10
01
10
11
10
11
00
00
10
10
10
11
01
00
01
01
01
11
11
01
00
10
11
00
00
11
10
01
10
01
00
00
00
10
11
00
01
00
01
11
00
10
10
00
01
10
10
10
11
11
10
11
00
00
10
10
01
01
00
11
11
10
11
11
11
01
01
10
00
00
10
00
00
10
10
10
00
00
00
10
10
11
11
00
00
00
00
00
11
10
01
00
01
00
01
10
10
10
01
11
00
00
11
00
11
01
00
10
11
11
00
11
10
10
10
10
00
10
01
01
01
11
01
00
01
00
00
10
10
10
00
01
11
01
00
11
11
00
00
01
10
11
00
00
01
10
00
00
01
10
11
10
01
00
10
10
10
10
10
10
00
00
10
10
00
10
11
11
10
01
01
10
00
00
01
00
01
11
11
00
01
00
11
01
00
11
11
10
10
01
00
01
00
00
10
10
01
00
10
10
00
00
10
00
00
00
00
10
10
11
01
11
11
01
00
10
10
10
10
01
10
11
00
11
00
10
00
00
00
10
10
01
11
11
00
10
10
10
00
01
01
10
10
01
00
00
01
00
11
10
00
00
11
01
10
00
10
10
01
10
01
00
01
10
10
10
00
10
10
00
00
11
01
10
00
11
01
10
10
01
10
00
01
10
00
00
01
01
10
00
10
00
00
10
00
00
00
10
10
10
01
00
00
01
10
00
01
00
11
00
00
10
11
11
01
01
11
10
00
00
11
10
00
00
10
10
00
11
00
11
00
00
10
10
00
00
01
11
00
10
01
11
11
00
10
10
11
00
00
00
10
00
00
10
01
00
10
00
11
10
01
11
01
01
00
11
01
10
10
00
00
10
10
01
10
11
00
00
10
00
11
10
10
00
00
10
00
00
10
11
10
00
11
00
11
00
00
10
11
11
00
10
10
10
11
10
00
11
10
01
10
01
00
00
00
10
00
11
11
00
01
11
01
10
10
00
00
10
10
10
00
10
01
01
10
01
11
00
01
11
10
10
01
01
10
00
00
10
11
11
10
10
00
11
00
11
11
11
10
10
00
01
10
10
00
00
11
00
00
10
10
10
10
10
01
00
10
01
11
10
00
00
10
00
10
00
10
00
00
10
01
10
01
00
00
10
00
00
11
01
00
00
11
10
10
11
00
10
10
01
01
01
00
10
10
10
10
00
01
11
10
11
10
10
00
01
00
00
00
10
10
00
00
01
00
00
10
11
00
01
10
10
10
10
10
01
11
10
10
00
00
10
10
00
01
11
10
10
01
00
00
10
10
00
00
10
11
00
00
00
00
10
10
00
01
10
11
10
11
00
11
11
00
10
10
00
10
00
00
10
11
00
10
11
00
10
10
11
10
00
01
11
10
11
00
01
00
11
00
00
00
00
10
10
10
10
00
10
01
10
11
01
01
00
10
10
10
00
11
00
01
10
00
10
11
01
10
11
10
10
01
00
11
10
00
00
10
10
00
10
11
00
00
10
10
10
10
11
10
11
00
01
00
01
10
11
11
00
00
10
10
00
10
01
00
01
11
10
01
10
10
00
00
00
11
10
00
10
10
10
10
11
01
10
11
01
00
01
10
00
11
11
00
10
00
00
10
10
00
10
10
00
10
10
00
10
01
00
00
01
00
01
10
10
00
10
00
00
11
00
10
10
00
10
00
10
00
01
00
11
01
00
11
11
01
10
11
00
10
00
01
10
10
11
00
00
10
00
11
11
00
10
00
00
10
10
00
00
11
10
01
10
00
01
10
10
10
00
00
10
10
11
11
00
11
10
00
00
11
10
11
00
01
10
00
01
10
00
01
01
10
10
01
10
01
01
00
01
10
00
00
11
11
11
01
01
11
10
00
00
11
10
01
01
11
10
00
11
00
10
10
11
01
10
10
00
10
10
10
10
01
00
00
11
11
00
11
01
10
00
01
10
11
00
00
10
10
00
11
10
00
10
00
00
01
00
10
00
01
01
10
01
00
10
01
11
11
10
00
00
00
11
10
00
00
00
01
01
10
10
01
10
00
11
10
00
10
10
00
00
11
11
10
01
10
00
00
10
11
10
00
00
01
11
11
01
10
11
10
10
11
00
01
11
10
01
10
10
00
10
10
00
00
00
10
10
00
10
10
00
01
10
10
00
11
11
00
01
10
00
00
00
10
01
00
10
11
01
10
00
10
11
00
00
01
00
01
10
10
00
10
10
00
11
00
11
10
10
01
11
10
10
11
00
10
11
10
00
00
10
11
10
11
01
10
11
00
00
00
01
10
00
10
10
11
00
00
00
00
01
00
10
01
00
10
10
10
00
11
11
01
00
00
10
00
10
11
01
00
00
00
10
01
10
10
11
01
00
10
10
00
00
01
01
00
01
11
10
11
01
01
10
00
00
10
10
00
00
11
10
10
11
01
00
11
10
10
10
01
01
00
00
10
10
01
11
00
00
01
10
01
01
10
10
10
11
00
00
10
10
00
11
11
00
10
10
00
00
10
00
00
11
11
10
00
00
10
10
00
01
11
01
10
11
00
10
00
11
11
10
01
00
10
10
10
11
10
10
00
01
00
00
00
10
01
00
10
11
00
00
00
01
11
10
00
00
10
11
00
10
00
00
11
00
10
00
10
11
11
00
00
11
00
10
11
00
10
10
10
01
00
10
00
10
10
00
00
00
00
11
00
00
00
10
10
00
00
00
11
11
10
11
00
00
01
10
11
00
11
10
10
10
01
00
11
00
01
10
00
00
10
00
00
00
11
01
00
11
11
11
10
10
10
10
00
00
00
10
11
00
00
00
11
10
01
00
01
01
00
10
10
00
10
01
10
10
10
00
00
01
00
00
10
10
10
10
11
00
00
00
01
10
10
11
00
11
11
10
10
00
00
10
11
01
00
10
01
01
00
00
10
11
01
10
10
01
00
00
10
00
00
00
01
00
00
10
00
10
11
10
10
10
01
10
00
11
01
01
11
10
11
10
10
10
00
01
10
11
00
10
11
10
01
01
00
10
11
00
01
11
10
10
10
10
00
00
00
10
01
10
11
10
01
10
11
01
01
10
01
10
10
00
00
01
10
00
00
00
10
00
10
11
00
10
00
10
10
10
10
11
00
10
00
00
00
11
00
11
11
00
11
00
11
00
00
10
01
00
11
00
11
00
01
11
10
00
11
11
00
10
11
00
00
00
01
11
10
01
00
00
11
00
10
10
00
00
00
01
10
00
01
10
00
10
10
11
00
00
11
10
10
00
00
01
11
10
00
10
00
00
00
11
10
11
01
01
10
00
11
10
00
10
01
00
01
01
00
10
00
00
01
01
11
11
00
01
10
01
00
10
10
00
10
10
10
00
00
10
11
10
00
00
00
11
00
11
01
00
11
01
10
10
01
10
00
00
11
10
11
01
01
00
00
10
10
10
11
10
00
01
11
11
01
00
10
10
00
00
01
11
10
01
00
00
00
10
11
10
10
00
10
10
01
01
00
00
00
10
10
10
01
11
10
00
10
00
00
11
10
01
01
11
11
11
01
00
10
00
10
00
00
10
00
01
11
11
10
00
00
10
10
10
10
01
00
10
10
11
00
00
01
00
00
11
01
10
00
00
10
00
01
10
11
00
10
00
01
00
11
10
00
10
10
10
10
10
01
00
10
11
01
11
10
00
11
10
01
11
10
01
00
11
11
11
00
00
10
10
10
00
01
00
10
10
01
01
00
00
10
11
01
11
00
11
00
01
10
10
10
00
00
00
11
10
00
01
11
10
00
10
00
10
11
00
10
10
10
01
10
11
00
10
00
01
10
10
10
00
11
10
00
10
10
00
11
00
00
10
10
00
00
00
10
01
00
00
10
10
11
00
00
11
00
01
10
01
00
00
10
00
11
10
10
10
01
10
01
01
10
01
11
10
00
00
11
10
01
00
00
10
11
10
00
00
10
11
00
01
10
11
10
11
10
10
11
10
00
00
11
00
00
10
00
10
11
10
10
00
10
10
10
10
01
11
11
00
00
01
10
01
01
00
10
10
01
00
10
10
00
10
00
10
00
10
10
01
11
10
11
11
00
00
11
00
10
00
00
00
01
10
10
11
01
00
01
10
11
10
00
01
11
11
00
01
10
10
11
01
10
10
00
10
10
10
10
01
00
10
00
10
00
10
00
01
00
01
11
10
10
00
10
00
00
10
00
00
01
00
10
10
10
00
10
00
10
00
10
11
11
10
00
11
11
11
01
00
10
00
10
11
00
01
10
11
00
01
01
00
11
01
10
10
11
00
10
10
01
00
10
10
00
00
00
00
10
00
01
00
00
00
00
10
10
00
11
10
00
00
10
01
01
00
01
10
11
11
10
01
00
10
11
10
01
10
00
10
11
10
01
01
01
10
00
01
11
10
01
10
10
00
00
10
11
00
01
10
11
10
10
11
00
10
11
10
00
00
10
11
00
11
01
00
11
10
01
10
11
11
00
10
00
00
10
00
01
00
11
10
00
11
00
10
11
00
00
10
10
01
11
10
00
10
01
01
10
10
00
00
10
01
01
00
10
10
10
11
00
10
01
00
11
10
00
00
10
11
10
01
00
00
00
11
10
00
01
00
00
00
01
01
01
01
11
10
00
11
00
11
10
00
01
10
10
00
11
10
10
11
00
00
00
01
11
10
00
10
01
00
00
11
10
01
10
01
01
11
11
01
11
10
00
00
10
00
00
10
10
10
00
01
10
00
00
00
10
00
01
01
10
00
00
01
00
10
11
01
10
00
10
10
00
10
11
00
10
10
00
01
00
10
00
00
00
00
11
00
10
11
11
11
10
00
10
00
00
01
00
10
00
11
00
10
00
00
01
10
11
01
00
10
00
00
11
00
00
11
01
11
00
11
00
10
10
11
11
01
01
10
10
10
11
11
10
10
00
10
00
10
10
01
10
01
00
00
01
10
11
00
11
10
00
00
00
00
11
01
01
00
00
10
01
10
10
00
00
11
00
00
10
11
01
10
10
00
01
01
01
11
10
11
00
00
00
00
10
01
00
11
00
01
10
10
10
10
00
00
01
10
10
00
01
00
10
01
00
11
11
00
00
10
10
00
10
11
01
11
10
01
10
01
00
11
10
11
10
01
10
00
00
10
01
10
00
00
10
00
10
10
00
10
10
11
01
10
00
10
00
01
10
10
10
00
00
10
10
01
01
10
01
00
00
10
10
10
00
01
11
00
00
01
11
01
11
10
00
10
11
10
11
00
00
11
00
01
10
10
01
00
00
00
00
11
10
00
10
00
10
00
10
11
11
11
00
11
10
10
10
00
10
10
01
00
10
10
01
10
01
10
00
10
00
00
00
00
10
00
10
10
10
11
01
10
00
10
00
11
10
10
01
00
10
11
00
00
01
10
00
10
00
10
10
00
01
00
00
11
11
00
00
10
10
10
11
00
10
00
10
00
11
00
00
11
00
10
10
00
10
10
01
00
01
00
11
11
00
01
00
01
00
01
10
10
00
01
10
10
01
00
11
01
00
11
00
11
00
00
10
11
01
00
10
00
01
00
11
11
10
00
01
01
10
10
10
10
00
11
01
01
10
01
01
01
00
10
11
00
00
00
00
10
00
00
10
11
10
00
00
11
10
01
00
00
10
01
10
11
11
10
01
11
00
01
01
11
01
11
10
10
10
01
10
00
00
11
10
00
00
10
10
01
00
00
00
10
10
00
10
10
11
11
01
10
10
00
00
11
01
11
10
01
00
00
11
01
10
01
10
10
01
01
10
10
10
00
00
11
01
10
10
01
00
11
00
00
10
00
10
11
01
00
10
00
01
10
01
10
11
00
10
00
01
00
11
11
01
01
00
10
10
01
00
00
11
11
00
01
01
10
00
00
11
10
01
00
00
11
11
11
00
11
11
00
00
10
10
10
00
01
00
00
10
00
00
11
10
10
11
00
00
11
00
00
01
00
10
01
00
11
11
10
01
01
10
11
00
00
00
00
10
00
11
01
01
10
01
01
10
10
10
11
01
10
00
00
00
00
10
11
01
11
11
00
10
00
10
10
00
00
00
11
11
01
10
11
01
01
10
01
10
00
00
10
10
00
00
11
00
00
10
10
01
10
00
00
00
10
11
10
00
11
01
11
00
00
00
10
10
10
10
00
00
11
00
00
00
11
10
00
00
01
10
10
00
00
10
10
00
00
00
10
00
00
00
11
10
11
10
11
00
00
01
11
10
10
10
00
11
00
00
10
00
10
10
00
00
10
10
00
01
10
10
00
00
10
11
01
00
10
11
01
10
01
00
10
00
00
10
11
00
11
10
00
01
01
10
10
10
00
11
11
00
10
00
10
01
10
01
00
10
01
00
00
10
10
11
10
00
00
11
10
00
00
10
10
01
11
01
10
10
00
00
01
10
10
00
01
10
10
00
11
01
01
00
01
10
10
10
10
01
00
00
00
00
00
10
11
10
01
00
10
00
10
10
00
10
11
10
00
00
11
01
00
10
10
00
10
11
00
00
00
10
00
01
01
10
11
10
00
10
00
11
10
01
01
00
00
00
11
10
10
00
01
10
01
00
11
01
00
01
10
01
11
10
00
10
10
01
00
11
00
01
10
10
00
10
01
01
10
10
01
00
00
11
11
00
00
00
10
01
11
10
00
01
11
00
10
11
00
00
01
10
11
00
00
00
10
11
11
10
00
10
10
10
00
00
10
00
01
00
01
11
10
00
10
10
10
00
00
00
00
11
00
10
10
10
11
00
01
11
10
11
11
10
01
00
00
00
10
11
11
00
11
10
11
10
01
01
00
11
10
00
00
11
10
01
10
10
10
01
00
01
10
10
11
00
01
00
11
11
10
00
00
11
00
11
10
00
10
10
01
11
10
00
11
10
11
00
00
11
10
00
01
10
11
10
10
10
00
00
00
00
00
11
10
10
01
00
11
00
10
10
00
10
01
01
01
01
10
01
00
10
10
01
00
11
10
10
01
01
11
01
11
10
10
00
00
01
00
11
11
10
00
00
00
10
00
00
11
01
00
10
00
00
10
10
11
01
10
00
00
10
10
00
01
10
01
11
11
11
01
10
10
11
01
10
00
00
00
00
10
00
10
01
01
11
11
00
10
10
11
10
01
00
10
01
10
10
11
10
01
11
10
00
00
00
10
01
01
11
00
00
01
10
10
10
01
00
00
10
10
00
10
10
10
01
00
01
00
10
11
00
00
11
00
01
01
01
10
10
00
10
01
00
11
00
01
11
10
00
01
10
10
10
01
01
10
11
00
00
10
01
10
00
10
10
10
10
00
01
00
10
10
01
00
11
11
11
11
00
10
00
00
11
00
01
00
10
00
11
10
00
10
11
11
10
11
00
10
00
00
00
01
10
00
00
10
01
00
10
10
00
01
10
00
10
00
00
01
10
10
00
00
10
00
00
10
00
10
10
10
10
01
00
01
00
10
10
01
10
11
01
00
01
11
10
01
01
10
11
10
01
01
00
10
10
00
10
11
00
10
11
10
11
00
00
00
00
10
00
10
11
00
00
00
10
00
00
10
00
10
11
01
00
11
11
10
01
00
10
01
01
10
00
01
11
00
10
10
00
10
10
00
00
10
01
01
11
10
00
10
10
01
11
11
00
00
10
10
00
10
10
10
00
11
10
00
10
00
10
00
00
10
00
10
00
00
01
00
01
10
00
11
00
10
11
00
00
11
11
11
10
10
11
00
10
01
00
00
10
10
11
11
11
00
01
10
11
00
00
11
10
00
01
01
00
11
00
10
10
00
10
10
01
01
00
10
10
00
10
10
10
01
01
01
10
11
00
11
10
10
10
00
00
10
10
00
10
00
10
10
00
00
00
00
11
10
11
10
00
00
10
00
00
10
11
00
01
01
01
01
11
10
01
10
11
00
10
11
00
10
11
01
00
10
10
00
01
10
00
00
01
11
01
01
10
00
00
10
01
10
10
00
11
11
11
00
00
00
00
10
10
10
00
00
11
11
10
11
11
01
01
10
00
11
11
00
11
00
00
10
01
11
10
11
00
10
01
00
10
00
10
10
00
01
10
00
00
00
00
01
11
11
01
10
11
00
00
00
10
10
11
00
00
11
00
11
01
00
00
10
10
00
10
11
00
11
10
00
01
01
10
10
00
00
00
01
10
01
00
00
11
00
00
10
10
00
01
10
11
10
00
10
10
10
01
10
10
10
00
10
10
11
01
00
10
10
10
00
01
11
10
00
10
00
10
00
00
00
11
01
10
11
10
10
01
00
11
11
00
01
11
00
00
01
10
00
00
11
10
11
00
01
00
10
10
01
10
01
10
11
11
11
00
01
00
10
11
00
00
10
11
01
00
00
11
00
10
10
00
11
01
01
10
10
00
00
10
00
00
10
01
00
00
10
00
10
00
11
11
00
11
00
00
01
10
10
00
10
11
10
00
01
10
00
00
00
10
10
10
10
10
00
11
00
01
10
10
11
11
01
00
10
11
10
00
00
10
10
10
10
00
00
01
10
11
10
01
00
10
10
00
11
10
01
00
00
01
01
10
10
10
00
00
11
10
00
11
11
10
10
00
00
10
10
00
10
10
00
00
01
11
10
00
10
10
10
10
00
00
00
11
10
00
00
10
10
00
00
01
10
10
10
10
00
00
11
10
00
01
00
01
11
01
00
00
11
11
00
00
01
10
00
10
01
11
10
00
10
11
01
00
10
10
10
00
10
00
00
11
01
11
10
10
01
10
10
10
10
01
10
10
01
11
00
01
01
11
01
10
00
00
00
10
00
01
10
11
00
00
00
00
00
00
01
00
10
11
10
10
10
10
10
01
01
10
10
00
00
10
00
01
00
00
10
10
10
01
01
00
10
10
00
10
10
10
01
01
10
11
00
00
10
10
11
11
10
00
10
00
00
11
01
01
11
00
00
11
11
11
00
00
10
10
00
01
10
11
00
10
10
00
10
01
00
11
10
01
10
10
01
01
00
10
10
01
10
00
10
11
00
11
10
01
10
00
10
10
10
00
10
10
00
11
00
11
10
10
10
00
10
00
11
11
10
10
10
00
11
11
01
10
10
10
00
10
11
00
00
11
01
10
10
10
00
11
00
00
10
01
00
10
10
10
00
00
10
10
01
00
01
10
10
11
00
10
10
00
00
00
10
10
10
00
00
00
00
00
10
10
10
01
01
10
11
00
00
00
10
11
01
01
01
11
00
11
11
11
00
01
10
11
00
01
11
11
00
00
11
11
11
00
00
10
01
00
00
11
10
01
00
01
00
10
10
11
00
00
11
10
11
10
10
01
10
00
00
01
11
00
11
01
10
00
10
10
10
01
00
10
10
10
00
01
00
00
11
11
10
11
11
11
11
11
01
00
01
10
10
00
10
01
01
00
10
10
10
10
01
00
10
01
00
11
11
00
00
01
00
01
10
11
10
00
11
10
00
01
10
10
01
00
11
10
01
11
01
10
11
10
00
01
11
00
10
10
00
00
11
00
00
00
01
10
00
11
10
10
11
11
10
10
00
01
00
10
10
01
11
11
00
00
10
01
10
10
11
10
01
00
01
00
00
01
10
00
00
10
10
10
00
01
00
11
10
11
00
01
00
00
01
11
00
01
10
11
10
00
00
10
10
00
01
01
11
10
10
01
10
00
10
11
00
00
00
10
01
01
10
10
11
10
00
10
11
11
11
10
01
00
10
01
10
10
01
01
01
11
11
10
10
00
11
00
01
10
10
10
01
01
10
10
10
00
01
11
01
00
10
10
10
10
01
00
10
01
00
10
10
11
01
10
01
00
00
10
11
10
00
01
10
11
10
10
00
00
11
11
01
00
00
00
11
00
10
10
00
00
10
01
01
10
10
10
10
01
11
01
10
11
10
10
00
00
00
11
11
00
00
00
10
10
00
10
10
01
00
11
00
00
01
10
10
01
00
11
00
11
10
01
00
01
00
11
10
00
00
01
00
11
10
00
00
01
00
10
10
01
10
10
00
00
10
10
00
00
10
10
10
00
11
01
11
10
01
10
00
10
10
00
00
10
00
01
10
00
10
01
10
10
10
01
11
10
10
00
01
10
01
00
10
10
10
10
11
10
01
00
10
11
00
00
00
00
10
10
00
00
00
10
00
10
00
10
00
10
00
11
11
01
10
11
10
11
10
00
10
11
10
00
00
11
10
01
01
00
10
11
01
11
11
01
01
11
10
00
11
01
01
10
11
11
00
10
00
00
00
00
10
01
01
01
10
11
10
00
10
11
01
01
00
00
10
10
00
01
11
10
11
10
11
10
11
00
00
11
10
00
01
00
11
00
10
11
11
01
00
10
00
00
10
10
10
01
00
10
00
10
10
10
00
11
10
01
10
00
10
11
00
11
00
01
10
01
10
10
01
01
00
10
11
00
10
00
10
10
00
01
00
00
10
11
10
00
00
11
00
11
10
10
00
01
10
11
11
00
00
00
00
11
01
00
11
10
00
00
10
11
10
01
01
00
10
00
10
11
01
01
11
10
01
00
01
01
11
10
10
11
01
11
11
10
00
00
01
10
00
10
10
00
10
10
10
01
10
11
00
00
11
00
00
10
00
01
10
10
01
10
01
10
10
00
10
10
00
10
10
00
00
11
00
01
10
00
11
00
00
10
10
10
00
11
11
01
01
10
10
00
00
01
00
11
10
10
00
00
00
10
11
01
11
11
10
10
10
10
00
00
00
10
11
11
00
11
00
00
11
11
00
10
11
00
11
00
00
10
11
00
01
10
10
00
10
10
11
00
01
00
11
00
01
11
10
00
00
00
10
10
00
01
01
00
10
11
01
10
10
00
10
00
10
10
11
10
11
11
10
11
00
01
10
11
10
00
01
11
10
00
00
01
00
10
10
10
00
00
00
10
11
01
11
00
10
10
10
10
00
11
00
11
10
10
11
11
00
00
10
10
00
10
10
00
00
11
10
01
11
00
00
00
11
10
01
11
11
11
10
00
10
10
00
01
00
10
10
11
00
00
11
10
11
00
10
00
00
10
10
11
10
11
10
00
10
11
00
11
00
01
11
10
01
00
10
10
10
01
10
11
00
10
11
00
10
10
00
00
11
11
11
11
01
00
00
11
11
01
00
11
11
00
00
10
00
00
10
10
10
10
01
10
10
01
00
01
00
10
00
11
10
10
10
11
00
11
10
00
10
00
00
11
00
10
01
11
00
10
11
00
01
11
01
10
11
01
11
01
01
10
11
00
00
10
11
10
00
10
01
00
10
00
10
00
10
10
10
10
00
11
11
11
00
00
00
00
10
11
00
00
10
00
00
01
10
11
10
10
00
00
10
01
10
01
10
10
00
10
00
00
11
11
00
11
01
01
00
00
10
11
01
00
10
11
01
00
10
11
01
00
11
00
01
10
11
00
00
10
10
10
00
01
11
01
00
11
00
00
11
00
01
00
00
11
10
01
00
10
11
00
01
10
00
10
01
10
00
11
10
00
10
01
00
00
01
11
11
00
10
10
10
00
10
00
00
10
10
10
10
10
00
00
11
00
10
00
11
10
11
10
11
11
00
01
00
10
11
10
00
01
01
10
00
00
10
00
11
11
01
00
00
10
00
00
11
11
01
00
10
10
10
11
01
01
10
10
10
00
10
00
01
11
11
01
10
11
01
10
10
01
00
00
10
00
11
10
00
01
10
00
11
10
10
01
00
11
01
10
11
00
10
00
10
11
00
01
00
10
11
11
01
10
00
11
10
01
00
10
10
00
00
00
10
10
10
00
01
10
00
00
10
00
11
00
11
11
00
01
10
11
00
00
10
10
10
00
00
10
01
01
10
00
00
11
10
10
10
00
00
10
10
00
00
10
00
10
11
00
11
10
11
10
00
01
10
10
00
01
00
11
11
01
00
00
00
10
11
00
10
10
00
00
00
10
11
10
10
00
10
11
01
10
00
11
00
00
01
11
00
10
11
11
11
01
10
01
00
01
00
10
10
00
00
10
10
00
01
11
10
01
11
10
11
10
01
10
01
10
10
01
01
10
00
10
01
01
10
01
00
01
00
01
10
10
00
01
00
10
10
10
10
00
11
00
10
00
00
11
00
00
10
10
00
00
10
10
10
10
11
01
10
01
10
11
00
00
11
10
10
10
01
00
00
10
01
10
10
00
00
11
11
11
10
10
00
10
11
00
00
11
01
00
10
10
01
11
01
11
10
10
00
00
10
00
01
10
00
00
11
00
11
11
00
00
01
10
10
11
01
00
01
10
10
01
01
10
00
10
10
00
11
10
10
10
11
10
01
10
11
11
01
00
11
10
01
10
11
10
00
00
01
01
10
01
11
10
00
01
00
00
10
01
10
10
00
10
00
10
10
10
10
00
10
00
00
01
11
00
00
10
01
01
11
10
10
01
01
10
00
10
10
10
00
01
00
00
00
00
01
11
01
01
01
10
00
11
10
00
10
11
00
10
10
00
10
00
00
00
00
10
10
10
00
11
01
00
10
01
10
10
00
10
10
01
00
10
00
00
11
11
10
00
01
00
01
11
10
00
01
00
00
10
11
10
10
10
10
10
01
10
00
10
11
01
10
01
00
10
00
00
00
11
10
00
00
11
01
10
00
01
00
00
10
11
01
10
10
01
11
01
00
10
00
00
01
01
11
11
11
01
01
11
01
01
10
11
10
01
01
10
00
00
00
00
10
10
10
00
10
00
10
00
00
00
11
11
00
10
01
11
01
00
00
11
10
10
00
10
10
10
01
00
00
10
00
01
00
10
10
00
11
01
01
10
01
10
11
10
10
00
01
11
10
10
00
00
01
00
11
10
01
10
11
00
00
00
10
11
00
11
00
10
10
00
10
00
00
11
10
11
01
10
10
11
11
00
00
10
01
01
00
10
11
00
00
10
01
10
11
10
00
10
10
00
11
10
00
11
00
00
10
11
11
10
01
00
01
00
11
10
11
00
01
11
00
00
11
00
10
00
11
10
11
11
01
10
11
00
11
11
00
00
10
10
10
10
01
10
01
10
10
00
00
01
10
00
01
01
00
11
11
00
11
10
00
00
00
10
11
10
01
10
10
00
10
00
01
10
00
11
00
01
01
11
00
00
11
01
00
01
11
10
00
10
11
00
00
10
00
00
00
10
10
01
10
00
10
01
00
10
00
00
01
00
11
10
00
00
11
10
00
10
11
00
10
01
00
10
10
01
11
11
11
00
10
10
01
10
10
00
00
10
11
00
10
00
00
00
00
10
01
00
01
00
10
00
10
11
10
00
00
00
10
00
00
10
10
11
00
10
00
01
00
11
00
00
10
10
00
00
00
11
00
11
01
10
00
10
00
11
11
00
11
10
01
01
00
01
10
10
00
01
10
00
01
10
11
00
00
00
00
10
00
01
01
00
11
01
00
10
10
00
00
11
10
01
11
00
00
10
11
10
10
01
10
01
00
10
00
10
11
00
11
01
11
01
00
00
11
10
01
10
10
01
00
10
00
10
10
00
10
00
10
10
10
10
11
00
01
10
00
00
10
10
10
10
01
00
01
10
10
00
01
10
10
00
10
00
10
10
00
00
10
01
11
10
00
01
00
11
00
11
00
00
11
11
00
01
10
11
11
11
00
00
11
10
11
00
11
01
10
11
00
01
00
11
01
10
10
01
10
00
10
11
01
00
00
10
00
10
01
11
01
01
00
11
11
11
00
10
11
00
11
01
01
11
00
00
10
00
00
00
00
10
01
11
11
00
01
10
11
00
10
01
01
11
11
10
01
01
10
00
00
10
10
00
00
10
10
01
01
00
01
10
00
10
10
00
01
00
00
11
10
00
10
01
00
00
00
00
11
11
10
00
10
00
00
11
11
10
00
10
00
01
00
00
00
11
11
10
00
11
10
00
10
01
11
10
01
00
01
11
11
00
10
00
00
10
10
10
01
10
11
01
10
11
01
10
11
11
11
10
10
00
00
10
10
10
00
00
10
01
01
10
10
11
10
10
00
00
10
00
00
10
00
00
10
00
10
10
01
10
01
00
10
00
10
00
00
10
10
00
10
00
00
10
11
10
00
10
11
11
00
00
01
10
11
10
01
01
01
10
10
10
10
00
00
10
10
10
10
11
01
00
10
00
10
10
00
01
01
10
10
10
00
11
10
11
10
00
10
00
10
01
01
01
11
01
10
00
11
11
00
00
10
11
10
00
01
10
10
00
01
11
00
01
01
11
10
10
00
00
11
10
01
00
11
00
00
00
11
10
01
10
10
00
10
11
11
11
00
10
00
11
00
11
01
00
10
00
00
01
00
10
10
00
00
00
10
11
00
10
11
00
00
00
00
00
01
00
11
10
00
10
10
10
01
00
11
00
10
11
10
00
01
00
11
11
00
00
10
11
01
10
10
10
00
00
00
01
00
10
10
11
00
10
00
10
11
00
11
00
10
00
11
11
01
01
11
00
11
01
10
00
00
10
00
00
10
10
10
01
01
11
10
00
11
11
00
01
11
00
10
10
01
00
10
00
10
10
10
00
11
11
00
00
10
10
11
10
10
00
00
10
10
00
01
00
10
10
00
00
11
01
01
10
10
10
11
11
00
00
01
00
11
10
00
00
10
10
11
00
10
00
00
00
11
10
11
10
10
10
11
01
00
00
10
00
00
00
10
11
01
10
00
00
11
01
00
10
10
10
01
01
10
10
10
10
10
10
11
10
10
00
01
01
00
01
01
11
11
10
00
00
11
10
10
01
00
00
00
10
11
00
00
00
10
10
00
00
00
11
10
01
11
00
10
10
10
11
00
00
00
01
10
01
01
10
00
00
11
00
11
10
01
00
00
11
01
10
01
10
10
10
00
10
00
00
10
10
11
11
10
00
00
01
11
00
00
11
00
11
00
00
11
10
00
11
01
00
00
00
10
10
10
11
10
00
00
11
00
11
10
01
11
10
01
10
01
10
10
01
00
10
11
10
01
00
01
00
00
10
01
01
10
10
01
00
11
10
00
10
10
01
01
01
10
10
00
01
10
10
00
00
00
10
10
11
00
10
11
10
10
11
00
10
11
01
01
00
01
00
01
10
10
00
00
11
11
00
10
01
10
00
10
10
00
01
10
00
10
00
10
10
10
01
10
00
10
10
11
01
11
00
01
00
10
01
00
11
10
10
10
11
10
00
10
11
00
00
10
00
00
10
10
10
01
10
11
01
11
10
00
00
00
00
11
00
00
10
11
01
10
01
01
01
11
11
00
00
10
10
01
00
10
10
00
11
10
11
00
11
10
00
10
01
11
01
00
11
10
00
11
10
01
00
10
10
10
00
00
11
10
11
00
10
00
11
11
10
00
00
01
10
00
11
01
01
00
00
10
11
01
10
00
01
10
11
00
10
10
10
01
01
00
11
00
01
01
10
10
11
01
00
11
11
10
00
00
11
01
10
10
01
00
00
10
10
00
10
01
01
00
11
11
01
01
00
10
11
01
00
10
10
10
01
01
00
01
00
10
10
01
10
10
00
00
11
00
10
11
10
10
10
10
00
01
11
00
10
00
10
10
00
00
00
11
11
10
00
01
00
10
00
11
10
01
00
10
10
01
11
00
10
10
00
11
00
01
11
10
00
00
00
11
00
00
01
00
10
00
00
00
01
01
10
00
10
11
00
01
00
11
10
11
00
00
11
00
01
11
10
00
11
10
10
11
00
00
10
00
10
11
00
11
10
11
10
00
00
10
00
00
11
10
00
00
10
00
00
10
11
00
01
11
00
00
01
00
11
10
00
10
10
01
00
10
10
01
00
11
00
01
10
11
10
00
10
00
10
00
10
10
00
11
10
10
10
10
00
11
10
10
00
00
01
01
11
00
10
10
00
01
10
11
10
10
11
00
00
10
00
01
00
11
00
10
00
00
10
00
00
00
00
00
10
10
00
00
10
01
00
10
00
00
01
00
10
10
00
00
11
11
00
01
11
10
00
10
01
10
10
00
10
10
00
10
00
01
10
00
00
11
00
11
11
10
11
00
10
00
10
00
00
01
11
00
10
11
01
01
10
01
00
11
10
00
10
11
01
01
01
10
10
10
10
10
10
00
01
10
10
10
00
11
11
10
10
01
10
11
01
00
10
01
01
10
00
00
00
00
10
10
10
00
10
11
00
10
10
00
10
11
01
11
10
10
00
00
11
00
00
00
10
11
00
01
10
10
00
10
00
00
00
10
00
10
10
11
11
00
10
11
10
11
01
00
11
10
00
01
11
10
00
01
01
11
00
11
10
01
00
00
00
10
00
11
10
11
00
01
10
11
00
00
10
00
11
10
01
00
10
11
10
10
01
00
10
01
00
01
00
10
00
01
00
10
01
01
00
10
10
00
00
11
11
10
00
11
00
11
11
01
01
10
11
00
10
10
00
00
00
10
11
10
00
00
10
10
10
10
01
00
10
01
10
00
00
01
10
10
10
01
00
01
11
10
00
10
10
01
11
11
00
00
10
00
00
11
01
00
00
10
00
00
00
10
10
00
11
01
00
10
00
00
10
00
00
10
01
10
00
01
00
11
01
10
10
01
00
00
01
10
11
00
10
10
00
10
01
10
11
00
11
11
01
01
11
10
01
00
10
00
10
10
01
01
10
11
00
10
00
10
10
10
00
01
01
00
00
00
10
01
10
00
10
01
10
01
10
11
00
01
10
10
10
00
00
10
10
00
10
00
11
10
11
00
01
10
00
10
10
01
00
10
00
01
11
10
11
10
01
11
00
10
11
00
00
00
10
11
11
11
10
10
10
00
01
10
11
11
00
10
00
10
10
10
00
00
01
01
10
00
00
01
00
00
10
11
00
00
10
00
00
10
00
10
10
01
11
10
01
00
01
11
11
11
00
10
10
10
00
00
00
00
10
10
01
00
11
11
11
01
00
10
00
00
01
10
00
01
00
11
11
10
10
00
00
01
11
11
01
10
11
10
11
00
00
10
11
00
00
10
10
00
00
10
00
11
00
01
10
10
10
10
00
00
10
11
11
00
10
01
00
11
10
10
00
00
10
01
00
11
10
10
00
10
10
01
01
10
11
11
00
10
10
00
00
10
11
00
01
01
01
10
01
10
11
11
00
01
10
10
00
00
10
10
11
00
10
10
11
11
01
11
10
10
01
00
00
10
00
10
00
00
10
10
00
01
00
00
10
10
10
00
00
10
00
10
01
01
10
11
00
01
10
01
10
01
00
11
01
10
10
00
00
10
00
00
10
10
00
10
01
00
10
00
10
00
11
00
00
00
00
10
01
10
10
00
11
10
11
01
00
00
00
11
10
11
01
00
11
11
10
11
00
00
10
10
10
10
10
01
10
10
00
10
11
00
10
00
11
10
00
01
00
10
10
10
10
10
00
00
00
11
00
01
01
10
11
11
10
01
11
10
01
00
10
00
10
10
00
00
00
11
10
01
11
11
11
10
01
00
10
01
00
11
10
01
00
00
00
00
10
10
10
00
00
00
10
00
10
00
00
01
10
11
10
10
00
00
11
10
10
00
00
01
00
00
10
00
10
10
10
11
01
11
00
00
11
11
10
01
11
11
00
01
00
10
00
01
11
11
10
00
00
10
10
11
00
00
10
10
11
01
10
00
11
00
10
01
11
10
01
00
00
01
01
10
11
10
00
00
11
01
00
11
01
00
10
10
00
11
11
00
00
00
00
10
00
10
10
00
00
10
10
01
00
00
10
10
11
00
10
00
01
11
00
01
10
11
11
01
00
01
10
10
01
10
11
11
10
00
00
10
01
00
10
00
00
10
10
10
00
00
00
01
10
10
10
00
11
10
00
10
00
00
10
00
00
00
10
00
10
00
11
01
00
01
00
10
11
10
00
00
10
01
10
11
01
00
00
11
10
10
11
00
00
00
11
01
10
01
10
11
10
00
00
11
10
01
00
10
01
10
10
01
01
10
11
01
11
11
11
00
00
11
11
00
11
10
00
11
00
00
10
11
00
00
10
11
00
11
00
10
00
10
00
01
10
10
11
10
11
00
11
00
00
11
10
11
10
00
00
10
00
01
10
11
10
10
01
01
10
00
10
10
01
00
00
10
10
00
00
10
01
00
10
01
11
10
11
00
01
00
10
10
00
00
10
10
00
00
10
00
10
01
10
01
10
00
10
10
00
00
10
10
11
11
00
10
00
10
00
10
10
01
00
10
00
10
00
11
00
01
00
10
01
01
01
10
10
00
10
00
10
01
00
10
00
00
01
00
11
11
01
11
01
10
10
10
00
00
01
11
11
01
01
01
00
00
11
00
11
01
00
01
01
11
01
01
10
10
01
11
00
00
10
10
00
10
10
00
10
10
00
11
10
11
01
10
10
00
00
00
01
11
10
01
01
11
10
00
00
00
10
00
00
10
10
00
10
11
10
11
10
01
00
10
10
01
10
01
10
10
11
01
10
00
00
11
10
00
00
10
11
00
00
10
10
10
00
11
00
10
10
10
00
00
10
11
00
11
11
10
11
00
10
10
11
00
10
10
00
10
10
01
01
00
00
00
11
10
00
01
00
11
10
10
00
00
10
01
01
00
11
10
10
10
01
01
10
10
00
00
01
00
01
10
10
10
01
10
11
10
00
00
11
01
11
11
00
01
10
00
00
00
10
10
10
11
01
00
10
00
10
00
10
11
10
00
10
01
00
00
01
11
10
00
10
01
10
11
10
11
00
00
10
10
10
00
10
01
01
10
01
00
00
01
10
10
10
00
00
10
11
11
01
00
11
10
11
00
10
01
00
00
11
11
00
01
00
00
00
00
01
00
11
10
10
01
01
11
10
00
00
10
10
00
01
10
01
00
01
00
01
00
10
11
00
00
00
10
11
10
00
00
11
11
01
00
10
11
11
01
11
10
00
01
10
00
01
00
10
00
10
10
00
00
01
10
11
11
10
10
10
00
00
00
10
10
10
01
00
11
10
10
00
11
00
01
11
01
10
10
10
00
00
10
10
00
00
10
11
10
01
11
00
00
10
10
10
10
01
11
10
10
11
11
00
01
10
11
11
10
00
00
01
11
10
11
00
00
00
10
10
01
00
11
10
01
00
00
00
01
11
11
10
00
00
11
10
00
10
10
01
00
11
10
00
10
10
00
01
10
10
10
10
11
01
10
00
00
11
10
10
01
10
11
00
00
00
01
11
01
00
11
01
10
01
00
11
01
10
00
00
10
10
10
00
10
10
11
00
00
10
00
10
01
01
01
11
01
00
00
01
10
10
00
11
10
10
10
11
10
11
00
00
00
00
01
00
10
11
11
10
10
10
01
00
00
01
10
10
00
00
11
00
11
10
10
11
00
10
00
00
10
00
10
00
00
00
00
00
10
00
11
10
00
10
01
11
10
00
01
01
11
00
11
00
10
00
01
11
10
10
00
11
11
00
11
10
00
10
00
00
00
00
10
10
00
00
01
11
10
00
01
10
10
11
10
10
10
10
00
00
10
11
10
01
10
10
11
10
10
00
00
01
10
00
11
10
10
10
11
00
10
10
10
10
00
00
10
00
00
10
11
00
00
11
00
01
11
00
10
01
00
00
10
10
01
11
11
00
00
01
00
10
10
10
11
10
10
00
00
10
10
00
00
11
11
00
11
01
11
11
00
01
10
01
00
10
11
00
00
10
10
00
00
01
11
10
00
10
10
00
11
10
00
11
10
00
00
00
00
00
10
10
11
10
00
01
10
11
00
10
10
11
00
10
01
00
10
11
11
10
11
00
11
10
00
00
00
01
10
00
00
10
10
11
01
00
00
10
10
00
10
10
01
10
11
10
10
10
10
10
00
10
10
00
00
00
10
10
00
00
11
10
11
10
01
01
00
10
10
10
00
11
00
01
10
10
00
00
00
00
10
10
10
01
00
10
10
11
00
01
10
11
00
00
10
01
11
11
10
01
00
00
11
11
01
01
00
00
00
10
11
10
00
00
10
11
01
01
10
01
01
01
00
01
11
11
10
01
01
10
00
00
00
11
10
00
00
11
00
11
11
10
00
00
11
10
01
00
01
11
11
01
11
00
00
10
01
00
01
10
10
00
10
10
01
10
11
10
10
01
10
10
11
11
00
00
10
00
00
10
00
10
11
00
10
10
00
01
10
11
11
00
10
01
01
10
10
01
10
10
10
00
10
10
01
00
01
11
01
10
01
11
00
11
10
01
00
00
10
00
10
10
11
01
00
01
10
00
00
10
01
00
00
11
11
01
10
11
11
11
00
11
00
01
01
10
11
11
00
00
10
01
00
01
00
11
10
01
10
01
00
10
00
01
00
10
10
00
11
10
10
00
01
00
00
10
11
00
00
11
10
10
01
10
10
10
01
00
00
00
10
01
11
00
10
00
00
10
10
01
01
00
10
10
00
11
00
01
10
00
00
10
10
11
01
10
10
10
00
10
01
00
00
10
10
00
10
00
10
00
00
00
00
10
11
10
00
10
01
11
10
01
00
00
00
10
11
10
01
00
11
00
00
10
11
00
11
01
00
11
10
00
00
00
11
10
10
11
01
00
00
10
00
00
10
10
00
01
00
11
10
10
00
01
00
11
10
00
00
01
00
11
00
00
10
11
00
10
00
01
01
11
10
01
00
10
10
10
11
00
01
10
00
00
01
11
01
11
10
10
00
10
10
10
01
11
10
01
01
00
00
00
10
00
01
10
10
10
00
11
00
00
00
10
11
00
10
00
00
10
10
10
10
00
00
00
00
01
10
00
00
11
11
10
10
00
00
00
01
01
11
10
00
10
10
00
01
00
10
10
01
10
11
00
00
01
11
10
11
11
00
11
10
00
10
11
00
01
10
10
00
11
10
00
00
10
00
01
00
00
01
10
00
01
10
10
10
00
00
10
00
00
00
10
00
00
11
11
11
00
10
10
01
11
10
01
00
11
11
01
01
11
01
01
10
10
10
00
01
10
10
00
01
00
10
10
01
00
01
00
10
00
00
10
01
00
10
10
01
10
01
01
10
10
00
00
10
00
01
01
10
01
10
10
10
10
10
10
10
10
10
01
01
01
10
11
01
10
10
10
00
00
00
11
10
11
01
00
00
10
11
01
10
10
11
00
10
10
00
10
00
10
00
01
11
01
00
10
10
10
00
01
01
10
00
10
00
01
11
00
01
00
01
00
11
10
10
01
00
10
10
01
11
00
00
10
00
00
01
00
01
10
11
11
00
10
11
10
00
00
10
00
00
00
10
10
00
10
11
10
10
10
01
10
00
00
11
01
11
10
00
01
10
00
10
10
10
11
00
00
00
11
01
01
01
00
00
10
00
01
10
00
11
10
00
00
10
10
11
11
00
10
00
11
00
00
10
00
00
00
00
00
00
10
01
10
00
10
10
10
10
11
00
10
10
01
11
10
10
01
11
10
11
00
00
11
01
11
11
00
10
00
10
11
01
01
00
10
01
01
10
10
11
00
00
01
11
00
01
01
10
00
01
00
00
10
11
11
10
11
00
10
10
11
10
10
01
00
00
11
01
01
00
10
01
01
01
00
11
00
00
10
00
10
00
00
10
00
00
10
11
10
10
00
11
10
10
10
11
01
00
11
10
10
10
10
01
01
01
10
00
11
11
11
01
11
11
10
10
01
10
00
00
10
10
01
01
11
10
00
01
00
01
00
10
10
10
00
01
00
10
10
10
01
01
01
11
10
00
11
10
00
00
10
10
10
10
00
01
00
11
01
10
01
01
11
11
10
00
00
01
10
11
00
00
00
00
00
11
10
00
10
11
00
01
11
10
00
10
01
00
10
10
00
11
10
00
10
11
10
10
00
00
01
10
10
00
01
11
11
01
00
01
11
10
00
00
10
10
10
10
00
10
10
01
10
10
00
00
00
01
10
10
00
00
00
00
01
00
11
10
11
10
01
10
00
11
10
11
01
10
00
11
00
10
11
00
00
10
00
00
10
10
01
01
00
00
01
00
00
11
10
11
11
01
00
10
10
00
00
10
01
10
10
00
00
00
10
10
10
10
01
10
01
01
00
10
01
01
10
11
00
11
10
00
00
10
11
00
00
10
10
10
00
01
10
00
00
11
10
00
01
11
00
10
00
11
11
10
00
10
10
10
00
00
01
10
10
01
10
10
11
11
10
00
00
11
11
00
00
11
00
00
11
00
10
10
10
00
00
11
10
00
00
00
01
00
01
10
10
11
00
10
10
10
01
00
10
00
00
00
10
10
01
00
00
01
00
10
10
11
00
10
00
10
00
11
00
11
10
10
00
01
00
01
10
11
11
11
01
10
01
10
10
00
10
11
00
01
10
00
10
10
00
10
10
10
10
00
00
00
11
11
10
00
00
01
00
10
00
00
11
11
00
11
10
10
11
10
01
00
11
10
11
00
11
10
01
11
11
01
00
10
00
00
11
11
01
01
11
10
00
00
10
00
00
10
10
11
10
10
01
11
00
10
00
00
00
10
11
01
00
11
00
00
10
10
01
10
01
00
10
10
10
10
00
00
10
01
01
10
10
01
00
10
10
00
00
10
11
11
00
01
10
10
00
01
00
01
10
11
00
10
10
11
10
00
11
10
00
00
01
10
11
00
00
00
10
01
10
10
00
10
10
00
10
11
01
00
00
00
00
10
00
10
10
10
00
10
10
00
10
10
11
10
10
01
10
10
11
11
00
10
00
01
10
00
00
11
10
00
10
11
10
11
11
00
10
10
01
10
00
00
00
10
11
10
10
00
10
01
10
01
10
00
10
01
10
00
00
10
11
11
10
00
10
10
10
11
10
00
01
10
00
10
00
11
00
01
11
10
01
00
11
11
00
10
01
01
00
11
10
11
11
00
10
01
00
10
11
00
01
01
00
01
01
11
01
00
10
10
10
00
00
10
11
10
00
01
01
00
01
00
11
00
11
11
00
01
10
01
00
10
10
01
11
11
01
00
11
10
10
01
11
10
00
10
11
01
00
01
11
00
01
00
00
10
00
10
01
00
10
10
01
10
00
00
00
01
01
00
11
10
01
11
01
00
00
10
10
11
11
01
00
11
11
01
00
10
00
10
10
00
10
10
00
00
10
10
01
10
01
00
01
01
10
00
00
10
11
00
00
10
11
00
10
10
00
11
00
00
10
00
00
00
00
10
10
00
11
00
00
00
00
00
11
00
10
10
01
00
01
10
10
10
00
01
00
10
11
00
10
01
00
00
01
00
01
10
00
11
00
00
10
10
01
01
01
01
00
01
10
00
00
11
11
10
11
00
10
10
00
01
01
00
10
00
00
10
00
10
11
00
00
00
10
00
11
11
10
10
10
00
01
10
11
00
00
00
10
00
10
01
00
00
00
01
00
10
10
11
10
00
00
10
00
10
11
00
00
01
10
01
00
01
01
11
01
00
11
10
00
00
00
10
10
00
01
00
10
01
10
01
01
00
00
10
11
10
11
00
11
00
01
00
01
10
10
00
00
00
10
11
00
01
11
00
11
10
00
00
00
01
10
10
00
00
10
00
00
00
01
11
11
01
10
11
11
00
00
00
10
11
10
10
00
01
10
11
10
11
01
00
01
01
00
10
10
00
01
01
10
11
10
00
00
10
10
11
00
01
01
00
00
00
10
11
11
00
10
11
11
10
10
01
00
10
10
10
00
01
10
11
01
11
10
00
00
01
00
00
00
10
00
00
00
10
11
11
00
00
11
00
00
10
01
11
10
01
00
11
11
10
10
10
10
00
10
10
00
00
10
01
10
01
00
01
10
01
00
10
10
10
11
00
11
00
10
01
01
10
10
01
01
11
11
01
00
00
00
10
01
10
01
00
01
10
11
10
00
10
10
00
00
00
11
10
01
00
11
10
00
01
11
10
00
11
11
00
01
10
00
00
11
00
11
10
01
01
11
10
10
00
10
00
00
00
10
10
00
00
10
11
01
10
00
00
10
10
10
00
01
11
01
10
00
00
10
10
01
00
10
00
00
10
10
01
00
10
10
00
01
10
10
11
00
00
00
10
00
10
00
01
00
11
10
10
01
11
10
01
10
11
00
00
11
10
00
01
00
01
00
10
10
10
11
01
10
11
10
00
01
00
01
00
00
10
01
11
11
00
00
00
10
00
00
10
11
00
00
01
10
11
10
11
11
10
01
00
11
01
00
10
00
01
11
01
00
11
00
01
10
00
00
10
10
00
10
10
00
00
00
00
00
00
00
10
00
10
11
00
11
11
11
10
00
00
00
11
10
01
10
10
00
11
10
00
10
11
01
10
01
00
01
00
10
01
00
00
10
00
00
10
01
01
10
01
00
00
10
10
00
00
00
10
10
00
00
10
10
10
01
00
11
01
00
00
10
00
01
00
10
10
00
00
10
10
00
00
10
10
11
01
00
00
11
01
00
11
00
00
10
10
01
10
01
10
00
10
10
00
00
00
10
00
00
11
10
10
10
11
11
10
10
00
00
11
00
01
10
01
00
11
00
00
00
10
00
00
10
10
10
00
00
10
01
01
01
01
11
01
00
00
01
10
10
00
00
11
10
11
00
01
10
11
01
00
00
10
11
10
00
00
10
11
10
10
10
01
01
10
10
10
11
01
00
00
10
10
10
10
10
10
00
00
00
01
10
10
11
00
11
10
00
00
10
11
00
01
11
10
01
00
10
11
00
10
01
00
10
01
10
11
01
01
00
00
11
00
01
10
10
00
01
11
00
00
11
11
01
10
10
00
01
11
10
01
01
01
10
11
10
10
00
01
10
10
00
00
00
00
00
10
11
00
00
00
10
10
00
11
10
10
01
00
00
00
10
01
10
10
10
00
11
10
01
10
10
10
01
10
10
10
00
00
00
00
11
01
10
11
01
01
11
10
00
10
10
00
00
10
10
00
10
00
01
01
10
11
10
01
10
00
00
00
00
10
00
10
10
11
10
10
01
00
00
00
00
10
01
01
10
11
10
10
10
00
01
01
10
10
11
10
00
10
00
11
10
11
11
00
11
10
00
10
11
00
11
10
01
01
00
10
10
10
10
00
00
10
10
10
11
00
01
00
00
00
01
10
00
10
10
00
01
00
01
10
10
01
11
01
11
01
10
00
00
10
00
01
00
00
01
00
10
10
11
01
00
01
11
10
10
00
10
00
11
10
01
00
11
10
01
00
10
10
00
00
01
00
11
00
01
10
10
01
00
00
10
11
01
01
11
10
10
01
11
00
00
00
10
10
01
00
11
10
00
10
10
00
10
10
00
01
00
00
01
01
01
10
00
11
10
10
11
10
00
00
00
00
00
01
10
11
11
00
11
10
00
00
10
10
00
10
11
01
01
01
11
01
10
00
00
11
00
01
11
10
11
01
01
00
01
00
10
10
10
00
10
00
10
01
01
00
10
11
10
01
00
11
10
10
11
00
01
10
01
01
10
01
01
11
11
10
00
00
00
10
01
11
10
11
00
10
10
01
10
11
01
10
11
11
00
10
10
00
00
00
11
10
00
11
00
10
10
01
00
01
10
01
10
10
00
00
00
10
01
00
11
01
10
00
00
00
10
10
00
01
00
00
00
00
00
00
00
10
10
01
10
00
10
00
00
00
00
11
10
01
10
11
00
00
01
00
10
10
00
00
10
10
00
00
00
00
11
11
01
11
10
10
00
00
11
11
00
11
01
10
11
10
00
01
11
11
00
10
00
01
11
11
11
00
11
01
10
00
00
10
10
00
00
10
10
00
10
00
10
00
10
00
00
10
10
00
11
10
01
00
01
00
01
00
11
10
01
00
10
10
00
11
10
01
00
11
00
00
00
11
10
01
10
10
00
00
11
10
00
00
11
10
11
11
10
00
00
11
00
00
10
10
10
11
10
00
01
10
10
00
10
10
10
00
00
00
00
10
11
01
10
01
11
01
10
01
01
00
11
11
00
01
10
00
00
11
10
11
10
01
11
10
10
00
10
10
00
00
01
10
11
10
00
00
10
11
00
10
11
10
00
01
10
10
10
10
00
01
00
10
01
10
01
10
10
00
00
10
11
11
00
11
10
10
01
11
11
00
01
10
10
10
00
00
11
11
10
00
10
01
00
01
10
00
10
01
10
11
01
10
01
01
00
10
11
00
10
11
01
00
00
10
10
11
10
10
00
11
11
10
01
00
00
01
10
01
10
01
01
10
00
10
00
00
00
10
10
10
00
10
00
00
00
10
10
00
11
00
10
01
01
11
10
10
10
10
11
11
11
00
11
00
10
00
01
00
10
10
00
10
01
00
00
01
11
00
01
10
10
01
00
10
10
00
00
01
10
10
01
00
00
10
10
10
10
10
10
01
01
11
01
00
01
00
10
10
00
10
10
01
11
10
01
00
10
10
10
00
00
10
11
00
01
10
10
01
01
00
01
00
10
10
01
01
10
10
01
00
10
10
00
10
10
00
10
11
11
11
11
11
10
10
10
00
00
10
10
00
00
00
01
10
10
01
10
10
00
10
11
10
10
01
01
10
10
00
01
00
00
01
10
10
00
10
01
00
10
01
00
11
10
10
00
11
11
10
10
00
00
10
11
01
00
11
11
00
10
00
10
11
11
00
00
10
10
10
10
00
00
11
10
10
11
11
10
01
00
10
00
10
10
00
00
11
00
00
00
10
11
10
00
00
00
11
11
10
01
00
10
10
10
11
00
00
10
10
00
11
00
00
10
10
10
11
10
11
01
00
11
00
00
01
00
10
00
00
10
01
10
00
01
01
10
00
00
10
01
11
10
01
01
00
01
00
11
11
01
00
00
10
10
10
01
10
10
01
00
10
10
00
10
00
10
11
11
10
00
00
00
01
11
01
00
10
11
00
10
11
01
00
11
10
10
10
00
11
10
00
00
00
10
10
00
00
01
00
00
00
00
11
10
00
10
01
01
10
11
00
10
00
01
10
11
01
01
00
01
00
10
00
11
00
01
10
11
01
10
01
00
00
11
10
00
00
10
01
11
00
10
11
10
00
00
00
00
00
10
10
10
01
00
10
00
10
11
10
10
00
00
10
11
01
00
00
00
10
00
10
01
00
10
10
00
11
00
01
00
00
01
10
00
00
01
10
11
01
10
10
11
10
10
00
00
01
10
10
11
10
00
00
00
10
00
11
00
01
10
10
11
00
01
01
00
11
00
00
00
10
01
11
10
00
01
00
00
00
10
00
10
00
11
10
10
01
00
10
00
11
10
01
11
11
10
10
00
00
10
00
10
10
00
10
01
00
01
10
10
10
01
00
10
00
00
10
00
10
00
10
11
01
11
00
11
00
11
00
01
10
00
10
10
11
00
00
11
10
01
01
10
00
10
11
10
10
00
01
10
10
00
01
01
11
00
10
11
10
01
10
00
00
10
00
00
00
10
00
00
01
11
00
01
11
00
01
00
10
11
00
10
01
10
00
10
10
10
10
10
10
11
11
11
10
11
00
00
11
01
00
10
10
11
10
10
10
01
11
01
00
00
10
11
10
11
10
01
10
10
00
00
00
10
11
00
11
00
00
00
00
10
11
10
10
00
01
10
00
01
10
00
10
10
10
10
00
10
11
01
00
00
00
11
01
00
10
00
00
00
10
10
00
01
10
00
11
00
00
01
10
10
00
00
10
10
00
01
10
10
10
11
01
00
10
10
00
00
10
11
00
10
00
01
00
01
00
10
11
00
01
01
11
11
10
11
01
10
11
10
00
00
11
10
00
11
10
01
10
01
10
11
00
01
10
10
00
01
00
10
00
00
10
00
01
00
10
11
10
10
10
10
00
00
11
01
00
10
00
00
10
10
01
00
01
10
10
11
01
10
10
00
01
10
00
01
00
11
10
10
10
10
11
00
01
00
00
00
00
10
00
11
11
10
01
01
01
00
00
00
11
10
01
11
10
10
10
10
11
10
01
00
10
00
01
11
11
00
01
10
10
01
00
11
10
00
01
10
01
11
00
01
11
10
11
10
00
00
00
10
10
11
01
00
10
10
10
10
00
00
11
00
00
00
10
11
10
00
11
00
00
10
10
01
10
11
01
00
00
00
00
10
10
00
10
01
10
00
10
01
00
11
00
01
10
10
11
10
11
00
11
11
11
01
00
11
10
10
00
10
10
00
01
11
10
10
10
10
00
01
00
00
11
00
01
10
00
10
10
00
00
11
11
10
10
11
10
00
10
00
11
01
10
01
11
10
11
00
01
00
10
10
01
00
10
00
00
10
10
10
10
11
10
00
01
01
10
00
10
11
01
00
11
11
11
11
11
10
01
00
10
01
00
10
10
01
00
00
00
10
00
01
01
11
10
10
00
00
01
11
01
00
00
01
00
11
10
10
00
10
00
00
01
11
00
00
10
10
01
11
00
10
11
00
10
11
10
00
01
11
11
11
10
01
11
11
00
11
11
00
10
00
10
11
10
00
00
11
01
00
10
00
00
00
00
11
00
00
00
00
00
00
10
00
11
01
01
11
10
00
10
01
01
01
11
10
11
01
10
00
01
10
11
00
11
10
10
10
00
01
10
11
00
00
01
10
10
10
10
01
10
10
01
10
10
01
10
10
01
00
01
10
10
11
00
01
10
10
01
10
10
00
10
10
01
00
10
01
00
10
00
10
01
10
00
10
10
11
10
00
11
10
00
01
00
11
01
00
11
10
00
10
00
01
00
10
10
00
00
10
01
01
10
11
00
00
11
01
00
11
10
01
10
10
10
10
00
01
10
00
01
10
00
10
10
00
00
00
11
11
00
00
10
01
10
00
00
01
10
11
00
11
11
11
00
01
10
00
11
10
10
10
10
00
00
00
10
00
00
10
00
00
10
01
00
10
00
10
10
01
00
11
10
00
01
00
00
10
10
00
11
10
00
00
10
10
10
00
10
01
01
11
00
00
00
11
00
00
10
10
00
00
10
00
00
00
11
00
11
00
00
00
10
11
11
10
10
01
00
11
11
11
10
10
10
10
10
01
00
10
00
01
11
10
01
01
10
00
10
00
00
01
10
01
00
10
00
00
10
00
01
00
11
11
00
11
00
10
01
00
11
00
00
10
00
01
10
01
00
01
10
00
01
01
11
10
01
00
10
00
10
11
00
00
10
01
11
10
10
10
00
00
11
00
11
11
01
01
11
01
01
00
10
10
01
00
10
10
00
00
00
11
11
01
00
10
11
00
01
00
11
10
00
00
10
00
01
01
11
00
01
10
00
11
10
10
00
00
01
11
00
00
10
00
00
00
10
01
00
10
10
10
00
01
00
00
01
00
00
10
10
00
10
00
10
00
10
00
11
00
01
01
10
10
10
11
01
10
10
00
11
10
01
11
10
00
00
10
10
11
00
01
10
11
00
10
01
00
10
11
11
00
10
11
00
00
00
10
10
01
10
11
00
00
01
11
10
10
10
00
11
10
01
10
10
00
01
00
10
10
00
00
10
00
10
00
10
01
00
10
11
10
01
01
00
10
00
01
00
11
01
11
00
10
11
00
10
11
00
01
10
01
10
00
11
10
01
01
11
00
10
10
01
11
10
11
00
10
11
11
01
00
11
11
10
11
10
00
00
10
10
10
00
00
00
10
11
10
00
10
01
10
00
11
11
00
00
10
10
10
11
11
10
00
01
10
11
10
10
00
11
11
00
00
10
01
00
11
10
11
00
10
00
01
10
00
00
00
00
10
01
10
11
00
11
00
10
10
00
01
00
00
11
00
00
01
10
10
11
01
00
01
00
10
11
10
10
00
00
10
10
00
01
01
01
00
11
10
00
00
10
11
01
01
11
10
00
10
10
01
00
10
10
10
00
10
11
01
00
10
10
00
10
10
00
00
11
11
01
10
00
01
00
10
10
10
10
00
01
10
01
00
00
00
10
11
10
10
00
11
10
10
11
11
01
11
10
00
00
11
10
11
00
00
11
11
11
11
10
01
10
01
10
01
00
10
10
00
10
10
00
00
10
01
10
00
11
01
11
10
01
10
00
11
10
10
00
01
10
10
00
01
01
10
01
00
10
00
00
10
10
10
00
00
10
10
00
00
10
00
10
11
01
11
00
10
10
01
01
11
10
01
10
01
00
01
00
00
10
10
11
01
01
11
11
10
00
00
10
10
01
00
10
01
00
00
01
10
10
10
10
10
10
10
01
01
10
01
10
11
11
00
00
00
11
10
00
00
00
10
10
11
10
10
00
00
10
00
10
00
00
10
10
10
11
10
01
00
11
10
01
01
11
10
00
10
10
11
01
00
11
10
00
10
11
01
11
10
01
00
00
01
10
11
00
10
10
01
00
01
11
00
10
00
00
10
10
00
11
11
00
10
10
01
01
10
01
01
10
11
01
10
00
00
10
00
11
10
00
11
10
11
01
11
10
11
11
01
10
11
00
01
01
10
10
00
00
10
01
00
01
11
10
10
01
00
11
10
01
10
01
01
00
11
10
10
00
10
00
10
10
00
00
10
10
10
00
01
11
10
10
10
11
00
00
10
00
11
11
00
01
00
10
10
00
01
11
11
11
00
10
00
11
10
10
00
01
01
11
00
00
00
00
11
10
01
10
00
01
11
11
10
01
01
00
10
10
10
10
00
00
10
11
00
01
00
01
10
01
11
10
00
00
00
10
10
00
00
00
10
11
11
10
10
10
10
00
00
01
00
00
10
00
10
01
10
10
00
00
00
01
00
10
00
01
00
00
10
10
00
11
11
00
10
00
00
10
10
10
10
10
10
00
10
11
01
10
00
10
01
00
01
00
10
11
00
10
00
00
11
01
10
00
10
11
01
01
01
11
00
10
10
01
00
11
00
01
00
01
10
10
11
01
10
11
10
00
01
10
10
11
11
00
01
00
00
11
11
01
01
10
00
10
10
00
11
11
01
11
10
00
10
10
01
00
10
10
00
11
10
00
00
10
01
01
10
00
00
00
11
11
10
10
00
00
10
00
01
10
11
10
00
00
00
10
11
11
01
00
10
11
01
00
10
10
00
01
00
00
10
00
00
00
11
01
00
11
10
11
00
01
00
11
01
10
00
00
00
10
00
11
11
10
00
01
00
10
10
10
00
00
01
00
10
11
00
10
11
00
10
11
10
00
00
11
11
00
10
11
10
00
00
01
11
11
01
00
00
00
10
10
11
01
00
10
10
10
10
10
00
10
01
00
10
01
01
01
11
10
00
00
00
11
10
00
00
10
00
00
11
10
00
00
00
11
10
00
11
10
00
11
10
00
00
01
10
10
10
00
10
00
10
10
00
00
10
10
00
00
10
10
00
11
00
00
01
10
00
10
00
00
10
01
10
00
00
10
10
01
01
10
01
00
00
10
00
10
00
10
10
00
01
00
10
01
01
10
10
10
00
01
10
11
01
10
10
01
10
11
00
01
10
11
00
00
11
10
10
10
00
01
00
00
10
01
00
01
01
00
01
11
10
10
00
10
01
00
00
00
00
00
00
10
11
10
01
00
11
00
11
00
11
10
00
11
11
01
01
11
00
11
10
10
00
00
10
10
01
10
11
00
00
01
00
00
10
10
00
00
00
10
00
11
10
00
11
01
00
10
11
00
01
11
00
10
01
00
11
10
00
10
11
01
10
10
00
10
00
11
10
00
00
00
10
10
11
00
10
10
10
00
10
00
00
10
10
00
10
00
00
10
10
11
00
00
11
00
10
10
10
00
00
11
11
00
00
00
00
11
10
00
01
01
10
11
11
01
00
00
00
01
10
10
10
00
01
11
11
10
00
00
10
11
01
00
10
00
00
00
10
01
10
11
01
10
11
10
00
01
01
11
10
01
00
01
00
01
10
10
10
00
00
10
11
00
00
00
11
00
11
10
00
11
00
01
10
00
00
11
10
10
00
11
01
01
01
10
10
00
01
01
10
11
10
10
10
00
10
11
11
00
00
00
01
00
00
10
10
10
10
10
01
01
10
01
01
01
01
10
10
01
10
10
00
01
00
10
11
00
10
10
10
10
00
10
10
00
11
00
10
01
10
00
11
10
11
00
01
10
01
10
00
01
10
10
01
11
10
10
00
00
00
00
10
10
10
10
10
10
10
10
10
00
10
00
10
00
10
10
11
00
10
00
01
10
10
10
10
00
00
01
10
10
10
10
10
00
11
00
01
10
10
10
01
01
00
01
10
00
10
11
01
11
10
01
10
00
00
10
10
01
00
01
01
11
10
11
00
11
10
00
11
10
00
10
00
00
10
11
10
00
00
00
11
00
01
10
10
00
10
10
00
10
11
00
00
11
01
00
01
01
10
10
00
10
10
10
01
00
10
01
01
10
00
11
10
10
00
01
10
11
11
00
10
10
00
00
11
10
00
00
10
10
11
10
01
00
11
00
00
11
10
00
01
10
11
01
00
00
01
10
10
10
01
10
10
10
00
01
01
10
11
00
10
01
11
00
10
00
00
10
10
10
00
11
10
00
00
01
11
10
11
10
10
00
00
01
11
00
00
10
10
01
01
10
00
01
10
10
00
10
00
11
10
01
11
00
00
10
10
10
01
00
10
01
10
00
00
10
10
10
00
10
01
00
10
10
01
10
01
00
01
10
00
11
10
11
10
00
00
00
00
11
10
00
10
11
10
00
10
00
10
10
01
11
11
01
00
00
11
00
00
10
10
00
10
00
00
01
00
11
00
11
10
00
01
00
11
10
00
00
11
00
01
11
11
10
00
11
10
11
00
00
10
00
00
01
00
10
11
10
00
00
11
00
00
11
10
10
11
00
11
00
11
00
00
10
01
11
10
01
01
11
00
10
11
11
10
00
00
10
00
10
10
00
01
11
00
01
00
10
00
10
10
00
00
10
00
00
10
10
11
10
11
11
00
00
00
10
00
01
11
00
10
00
00
10
00
11
00
10
00
11
10
01
11
00
10
01
11
00
01
10
11
00
01
10
00
00
01
10
10
00
11
11
00
01
10
01
00
00
01
10
00
10
10
00
00
00
11
10
10
11
10
00
00
00
01
10
11
10
00
11
01
10
10
00
10
00
00
11
10
00
00
00
00
10
10
00
10
10
00
00
10
00
00
00
00
11
00
00
01
10
10
00
10
10
01
01
10
01
00
10
00
10
00
01
10
10
00
10
00
00
10
10
00
10
10
10
01
00
10
11
11
00
10
00
00
11
11
00
10
00
00
01
00
10
11
01
00
10
00
00
00
10
01
11
10
00
11
10
00
00
10
10
00
00
10
10
00
11
10
11
00
00
10
10
01
00
01
10
10
10
11
00
00
00
10
10
00
10
01
10
00
01
01
00
00
01
11
10
10
01
11
01
01
11
10
10
10
01
00
10
11
10
10
10
01
00
00
11
10
00
00
10
10
00
10
10
10
10
10
00
01
01
00
00
01
10
00
11
11
01
00
00
11
00
00
00
00
10
00
01
10
10
00
11
01
11
01
01
01
00
11
10
11
00
01
10
10
00
11
00
00
00
11
10
00
00
10
01
00
00
10
10
10
00
01
00
10
11
00
10
01
10
10
00
00
11
00
00
00
00
11
10
00
10
01
11
10
01
00
10
00
01
11
00
11
01
00
10
10
00
11
10
11
10
01
01
01
11
00
01
00
00
10
10
00
01
00
10
10
10
11
10
01
00
00
00
11
00
00
10
10
00
11
10
01
00
01
00
00
10
10
00
00
01
10
01
01
11
10
01
00
10
11
01
00
10
10
00
00
10
11
00
00
10
11
00
00
00
10
00
11
00
10
10
00
01
11
11
11
00
00
11
10
00
11
10
00
11
10
10
10
00
10
01
01
00
10
01
00
01
00
10
00
11
10
11
11
10
00
00
11
10
00
01
00
00
00
11
11
11
00
01
10
10
00
00
11
11
11
00
10
11
00
10
01
00
10
00
01
01
10
10
01
10
00
01
10
10
01
01
00
10
00
00
11
11
10
11
00
10
00
10
10
00
10
10
10
00
10
01
10
00
00
00
01
00
00
00
01
11
00
00
11
10
01
00
10
11
00
00
11
00
00
01
10
10
00
11
10
00
10
10
11
11
00
10
10
10
11
00
00
01
00
11
00
10
10
10
01
11
10
00
00
10
01
00
01
10
00
00
00
11
10
00
00
11
11
00
01
01
00
01
11
00
10
01
10
01
00
10
00
00
00
00
00
11
01
10
01
00
11
01
11
10
01
01
01
00
11
10
00
11
10
01
01
01
10
01
10
00
11
11
10
00
01
10
10
10
00
00
00
11
10
10
00
00
10
01
01
00
00
01
00
10
01
10
00
00
00
01
11
01
10
00
00
00
10
10
01
00
01
00
00
10
11
00
00
10
10
01
10
10
10
00
00
10
11
11
01
01
10
10
00
00
00
10
01
11
01
00
00
10
00
01
10
00
10
11
00
00
00
11
01
00
11
00
00
10
10
00
10
01
01
11
01
10
00
01
01
01
10
11
00
10
00
00
11
10
10
00
10
01
01
11
00
11
01
00
00
11
10
10
01
01
10
01
11
11
10
10
00
00
11
11
01
00
10
10
00
11
01
00
10
10
10
11
11
10
00
00
00
01
00
10
00
11
00
00
10
10
00
01
00
10
11
00
11
00
11
10
00
01
00
00
10
10
01
01
10
01
01
10
01
00
01
00
01
10
00
11
10
10
00
00
11
00
10
01
11
01
00
10
11
11
00
10
00
00
10
10
11
00
00
10
10
10
00
00
00
00
10
10
11
10
00
10
11
10
11
10
00
10
10
00
10
10
00
10
11
11
00
01
00
10
00
01
10
10
00
01
01
11
00
11
10
11
00
10
00
00
10
10
10
00
00
11
00
01
10
10
11
11
01
00
00
10
00
11
10
00
01
10
00
01
11
11
01
00
01
01
10
01
00
00
10
01
10
10
01
00
00
00
10
10
10
00
00
00
00
00
01
11
10
10
00
00
00
11
11
00
00
00
00
00
01
01
00
00
00
00
00
00
11
10
10
01
00
11
11
11
10
00
00
11
11
01
00
10
00
10
00
01
00
10
10
01
11
01
11
10
01
00
10
10
00
00
10
10
01
10
10
10
00
00
00
00
10
10
10
01
10
10
00
00
10
10
10
11
01
10
10
00
10
10
10
00
10
11
00
10
00
00
00
00
00
10
10
00
00
00
11
10
01
00
00
11
11
00
11
10
01
10
10
10
00
00
10
01
00
01
10
10
10
00
00
01
01
10
10
11
01
01
11
10
00
00
00
01
00
01
10
01
10
10
10
10
11
11
10
00
00
11
10
10
00
00
01
01
11
00
10
10
10
10
00
10
11
10
11
00
10
00
10
10
00
01
01
00
11
11
11
11
10
01
10
01
01
10
11
00
01
00
10
00
10
10
01
10
11
10
11
10
11
11
10
10
01
00
00
01
00
10
10
00
11
00
10
11
00
01
10
00
10
00
10
10
00
00
00
10
00
10
10
10
11
10
00
00
10
11
11
11
11
00
10
00
10
00
01
10
01
11
00
00
10
10
10
10
01
11
00
10
10
11
00
10
01
00
01
01
11
11
10
10
01
00
10
10
00
10
10
00
01
10
10
11
00
11
10
10
00
10
10
00
10
10
01
00
11
00
00
10
00
00
00
10
10
10
00
11
10
01
10
00
01
00
01
10
11
01
10
10
00
10
00
01
11
10
10
10
11
00
10
11
10
01
11
01
11
00
11
11
00
00
00
00
10
10
00
01
01
11
10
10
00
11
00
00
00
10
00
00
10
01
01
01
11
10
00
11
00
01
00
11
11
00
10
10
11
00
10
10
11
10
00
11
10
00
10
01
11
00
10
00
00
00
00
00
11
10
10
10
00
10
10
01
01
00
00
00
10
00
10
10
00
10
01
10
00
10
11
11
00
01
00
01
00
11
11
11
10
00
00
11
00
10
10
00
01
10
01
10
01
01
00
00
11
10
00
10
10
00
01
10
01
11
01
10
10
00
11
10
00
11
10
00
10
10
11
00
10
11
01
00
10
00
00
10
01
01
00
10
11
00
10
10
10
10
01
10
11
11
11
00
01
00
01
00
10
10
01
00
10
00
01
01
01
00
01
01
00
11
10
00
01
11
10
00
10
01
00
11
00
11
00
10
11
01
10
10
11
10
10
01
10
00
00
00
00
01
10
10
00
10
10
01
10
00
00
10
01
10
10
11
00
10
00
00
11
11
11
01
10
10
01
10
10
01
00
11
00
10
01
01
10
01
11
00
10
11
10
11
10
11
01
10
00
11
10
00
01
10
10
10
01
00
10
11
00
01
01
11
10
10
10
01
11
11
01
00
10
10
00
01
11
10
01
10
11
00
00
10
10
01
00
11
00
00
10
00
10
10
00
00
10
00
10
00
10
00
00
10
10
00
11
10
10
11
00
00
10
10
00
11
00
11
10
11
11
01
11
00
00
11
10
00
01
11
11
10
00
00
10
10
01
00
10
10
10
10
00
11
10
10
01
10
11
10
00
11
01
10
00
01
10
10
11
01
01
11
10
00
10
00
00
11
10
00
00
11
10
10
10
00
01
01
11
10
01
10
11
00
11
00
01
11
10
01
01
01
00
11
00
10
01
01
00
01
00
10
00
10
11
10
01
10
11
10
10
10
11
00
00
00
11
10
10
10
00
10
00
00
10
11
10
10
10
00
00
01
11
10
01
00
10
10
01
01
00
00
10
01
01
10
00
01
10
00
00
00
10
10
01
11
10
10
00
01
11
11
10
00
10
10
10
11
01
01
00
10
00
01
00
10
00
11
01
00
11
00
11
10
00
10
11
01
10
01
01
10
10
01
10
11
11
00
00
10
00
01
00
11
10
00
00
11
10
00
10
11
00
10
10
00
11
10
11
10
00
01
00
10
00
00
10
11
00
10
10
00
00
11
11
10
00
10
11
00
00
00
11
00
10
00
00
11
11
01
00
10
10
00
10
11
00
00
10
10
00
01
00
10
10
01
00
10
10
00
00
10
00
00
10
00
00
10
11
10
01
00
00
11
10
11
00
10
01
10
10
01
00
10
10
01
11
11
00
10
00
00
10
10
10
00
10
10
00
00
10
01
10
00
00
10
00
10
10
00
11
00
10
11
10
00
00
11
01
00
11
00
01
10
10
10
00
00
10
10
11
10
01
00
00
11
10
00
11
10
00
01
00
10
11
11
00
11
11
10
01
10
10
00
00
00
00
00
10
00
00
10
11
10
00
00
10
10
00
01
10
11
00
00
10
00
10
10
10
00
11
00
11
10
00
11
10
01
01
10
00
00
10
00
11
10
00
10
00
01
10
11
10
00
00
10
10
10
10
00
11
10
00
01
00
10
01
10
10
00
00
10
10
11
10
10
01
00
00
00
10
10
11
11
00
00
01
11
00
10
00
01
10
01
10
11
00
01
10
01
10
10
10
00
10
11
10
00
10
10
11
10
00
01
00
10
00
10
11
01
01
00
11
11
10
11
10
00
00
11
10
01
10
01
00
00
00
00
00
10
10
01
00
11
11
10
00
00
10
10
11
11
11
00
11
10
00
00
10
10
01
00
11
00
00
01
01
10
00
10
10
00
11
00
01
01
00
10
01
01
10
00
10
11
00
10
00
00
10
10
00
00
00
01
00
00
00
10
10
01
11
00
10
10
10
10
00
01
10
11
10
10
00
00
00
10
10
01
10
01
01
11
00
00
00
00
10
11
11
10
00
01
00
10
01
11
11
01
10
01
01
01
01
11
00
01
10
10
10
00
00
10
10
01
10
00
10
10
10
00
10
11
10
10
00
01
00
10
00
00
01
00
10
10
00
11
11
10
10
00
10
11
01
11
01
10
00
01
10
00
11
00
01
10
01
10
10
01
01
11
11
01
10
00
00
10
11
10
01
00
11
01
00
00
01
10
10
11
01
00
10
10
00
10
01
10
11
01
11
01
11
01
01
01
00
10
10
00
00
10
10
10
10
11
00
11
11
00
01
00
00
10
00
00
00
10
10
00
11
00
10
10
00
00
00
00
01
00
00
00
10
00
10
01
00
01
10
00
01
00
10
11
11
11
10
00
10
10
01
10
10
01
10
01
00
01
00
00
11
01
01
01
00
10
00
00
11
10
10
00
10
01
00
11
10
00
10
00
11
11
11
01
10
01
00
10
11
10
10
01
01
10
01
10
10
10
10
01
00
00
10
11
10
10
01
00
00
10
10
10
11
00
01
01
00
01
11
11
10
11
01
11
10
10
01
00
00
10
01
01
11
10
10
10
01
00
01
10
10
00
11
11
00
00
10
10
00
10
10
00
01
10
00
01
00
00
10
01
11
10
10
00
00
00
00
00
01
11
10
01
10
00
00
10
10
10
11
00
01
00
11
00
00
11
10
00
01
01
10
10
10
11
10
11
01
00
00
10
10
01
10
11
01
00
11
10
00
10
00
00
10
10
01
10
00
01
10
10
11
00
00
00
11
00
00
10
10
11
01
00
10
10
00
10
10
10
01
00
11
11
10
01
10
01
00
01
00
00
11
11
11
10
10
00
10
11
10
00
00
01
00
01
11
10
10
11
11
01
00
10
10
00
00
10
00
00
11
01
10
01
01
10
11
00
00
10
10
01
00
01
11
11
01
10
00
00
11
11
11
01
00
00
11
00
01
00
11
11
01
00
01
11
11
10
01
00
00
00
10
10
01
01
10
11
11
10
00
00
10
11
00
00
01
01
10
00
00
00
11
11
01
01
10
11
11
00
10
10
01
00
10
10
10
10
00
01
00
11
10
01
11
00
00
10
10
00
01
00
10
00
00
01
11
00
11
00
10
10
11
10
00
00
01
00
00
10
10
10
00
10
10
00
00
10
10
11
10
10
10
00
00
00
00
01
00
10
00
10
10
10
00
01
00
10
11
00
10
00
10
01
10
10
00
10
00
01
11
11
11
00
00
00
00
00
00
10
11
00
00
00
10
11
00
10
10
11
00
00
01
11
11
10
01
00
01
10
11
10
00
10
11
11
01
01
10
01
10
10
01
10
00
01
10
10
10
00
00
10
00
00
00
01
10
10
11
01
00
00
10
10
10
10
00
00
10
10
00
10
10
00
10
01
11
10
01
10
10
11
00
01
10
01
00
10
10
10
01
10
00
00
00
00
01
10
01
10
01
01
10
00
10
11
10
01
00
11
10
10
10
10
00
10
10
00
01
10
11
00
11
00
01
00
01
11
00
00
10
01
00
10
10
10
11
10
00
00
11
10
11
10
11
10
10
00
10
11
00
10
10
00
11
01
00
01
10
00
00
01
10
00
00
01
11
00
11
01
00
10
00
11
00
11
11
10
00
10
11
00
00
01
00
00
11
10
00
01
00
10
10
00
11
11
11
00
10
10
10
11
00
10
10
00
00
01
00
01
10
11
10
01
10
10
00
00
00
11
11
00
10
11
10
10
10
01
00
11
00
10
10
01
10
00
11
11
10
10
00
01
00
10
11
00
10
00
11
00
11
10
10
10
10
11
01
10
00
00
10
01
10
11
00
11
01
00
00
00
10
10
00
10
01
00
11
11
10
11
10
10
01
10
10
00
00
10
11
10
01
01
00
10
00
00
10
10
00
11
10
10
00
00
00
10
11
00
01
10
01
01
00
11
11
11
00
01
11
00
00
10
10
00
01
10
10
01
01
11
10
10
00
10
01
00
10
00
11
01
01
10
10
10
00
00
00
10
11
00
00
00
00
10
01
00
00
10
10
10
10
01
00
11
00
01
01
10
10
00
11
00
10
11
01
10
10
00
01
00
10
10
00
00
10
11
10
01
10
10
10
10
11
00
10
10
10
00
00
11
00
10
11
11
01
00
11
00
11
00
00
11
00
10
10
00
00
10
01
11
11
00
10
00
01
10
01
00
10
10
00
10
00
10
10
01
00
10
11
10
00
10
10
01
01
10
00
01
11
00
10
11
00
10
00
00
11
10
10
10
01
10
10
00
10
00
00
11
11
11
00
11
11
00
00
10
01
01
10
10
00
00
10
11
10
11
10
01
01
00
10
11
10
00
00
11
11
10
00
00
00
11
10
01
11
00
11
11
00
10
10
00
00
00
10
10
01
10
10
10
00
11
01
11
10
10
00
11
11
00
01
10
10
11
00
00
11
10
01
00
10
00
00
00
00
10
10
10
11
10
10
10
00
10
01
11
00
00
10
00
10
10
10
00
01
10
00
10
11
10
10
11
11
01
00
10
00
00
10
00
10
10
00
01
11
10
11
10
00
00
00
11
10
00
01
10
01
00
11
11
00
01
10
10
00
10
10
10
00
00
00
10
10
00
11
11
01
00
10
10
01
10
10
01
01
10
00
10
10
11
01
10
11
10
11
01
01
11
11
00
01
10
01
01
10
11
10
01
00
10
11
00
00
11
00
00
00
01
10
00
10
10
10
11
10
00
00
10
10
01
01
01
10
01
11
10
00
00
11
10
10
00
10
10
00
00
01
10
00
10
10
00
00
11
10
10
10
01
00
11
00
00
00
11
10
01
00
11
01
00
00
10
01
01
11
10
10
00
00
00
10
00
00
10
00
00
01
11
11
10
10
10
00
00
00
01
11
10
00
10
11
10
10
10
10
11
10
01
00
10
11
10
11
00
00
10
10
00
00
10
10
01
01
01
01
00
00
01
00
11
10
10
00
10
10
00
11
11
00
00
00
10
00
10
10
01
01
10
11
00
00
10
10
01
10
01
00
00
00
11
11
00
10
10
01
00
10
10
11
00
00
10
10
00
00
10
00
01
10
01
01
11
00
10
00
00
00
10
10
00
01
11
10
10
11
10
10
11
00
00
00
00
11
10
11
10
00
10
10
10
01
10
00
10
10
10
10
00
11
10
11
01
01
00
01
11
10
10
01
00
00
10
11
01
00
10
11
01
01
11
00
10
10
00
00
11
10
01
00
00
01
11
00
11
11
00
01
01
01
10
01
00
11
10
00
11
10
10
10
00
00
01
00
10
01
00
00
00
11
10
10
01
01
01
10
11
01
00
01
00
10
11
11
01
10
10
00
10
00
11
01
10
10
10
10
01
00
00
10
01
00
11
10
00
11
11
11
01
10
01
11
11
01
00
10
10
00
00
10
11
10
10
11
10
01
10
00
00
00
01
10
00
00
00
10
11
00
10
11
00
00
10
11
01
11
11
00
01
10
00
10
10
00
00
10
10
10
00
01
00
10
10
00
10
10
01
01
10
10
00
10
00
00
00
10
10
01
00
11
00
10
10
11
00
10
10
11
00
00
00
10
01
10
11
00
10
11
11
10
11
00
00
10
11
10
10
11
00
00
00
00
10
10
01
00
00
00
01
01
10
10
10
01
00
00
01
11
10
00
00
00
10
10
10
00
10
10
10
11
10
10
10
00
01
11
11
10
01
00
00
10
10
00
01
00
10
00
00
01
00
10
00
10
00
01
00
00
10
10
01
11
00
00
11
10
10
01
00
11
10
10
01
10
10
01
00
00
10
10
00
00
11
00
00
10
01
10
11
01
01
10
01
10
01
11
10
00
10
10
00
00
01
11
01
00
00
10
00
00
01
00
10
00
00
10
10
00
00
00
01
10
00
11
00
01
10
11
01
10
10
00
01
00
11
10
00
10
11
00
10
10
01
00
00
11
10
01
01
00
11
00
01
10
11
00
10
10
00
00
00
10
10
10
10
01
01
10
00
11
10
10
00
00
10
10
00
01
10
00
10
10
00
11
10
01
10
10
11
00
11
10
10
01
11
01
00
11
10
00
10
10
11
00
00
10
00
11
10
00
00
01
10
10
10
10
00
11
11
01
10
00
00
10
01
00
11
01
10
10
10
11
01
00
11
00
01
11
10
00
00
10
01
00
00
11
01
10
10
10
00
01
11
10
10
01
01
10
11
00
10
00
00
10
10
01
00
11
00
10
11
00
01
11
11
10
01
11
00
00
10
10
00
10
10
00
00
10
10
00
10
00
01
00
01
01
11
00
11
01
00
01
00
11
10
01
00
10
00
01
10
00
00
00
10
11
00
11
10
00
10
01
11
10
00
00
10
10
01
01
11
10
10
10
10
01
11
11
00
00
01
00
10
01
10
11
00
11
10
11
10
00
10
00
11
11
11
00
10
10
10
00
10
10
00
01
10
01
00
01
00
11
11
00
10
10
10
00
10
10
11
00
00
10
10
00
00
00
00
10
10
10
00
00
00
01
00
00
00
10
01
01
00
11
11
01
00
01
11
00
10
10
00
00
01
00
00
10
00
10
11
00
00
10
01
00
10
01
10
10
00
00
00
01
00
10
01
11
00
10
10
01
11
01
11
01
00
10
00
00
00
10
10
00
11
11
01
01
00
00
00
01
01
10
10
10
10
00
01
00
10
10
10
01
00
00
00
01
10
00
00
10
11
10
00
01
01
10
10
01
11
00
01
11
00
01
10
11
00
00
11
10
10
00
10
01
10
11
00
00
10
01
00
10
11
00
00
10
11
00
00
00
10
10
10
10
00
01
11
11
11
01
01
00
00
00
01
10
11
01
00
00
00
10
10
11
11
00
00
01
00
10
10
01
01
00
01
10
00
01
11
01
11
00
00
01
01
11
11
00
00
00
01
10
00
10
00
00
01
00
00
10
01
10
00
00
10
01
01
01
00
00
01
01
00
00
10
10
10
00
10
00
00
10
10
00
00
10
10
01
10
11
11
11
01
00
00
11
00
01
00
10
11
10
10
00
00
10
11
01
01
10
11
00
11
10
10
00
01
11
10
10
00
01
00
00
01
10
11
10
00
01
11
00
10
01
10
11
01
00
10
10
00
10
00
10
11
00
11
01
10
00
00
11
11
01
01
10
11
00
10
10
00
00
10
10
10
00
10
01
01
00
10
10
10
01
00
10
00
11
00
01
01
11
01
00
11
01
00
10
10
00
00
10
00
11
10
00
00
00
00
11
00
00
10
00
10
10
10
00
11
10
00
11
10
01
01
10
11
10
00
10
00
11
01
00
10
00
00
00
10
10
00
01
01
10
10
10
10
10
00
00
10
10
10
10
01
11
00
00
10
10
01
10
10
01
01
00
00
01
11
00
00
00
00
00
01
10
01
10
01
00
11
11
11
00
00
01
10
00
00
00
10
11
01
01
11
10
00
11
10
00
00
10
11
11
00
01
01
01
01
10
11
00
00
10
01
10
11
11
10
01
01
11
01
10
00
11
11
01
11
01
01
01
01
10
10
00
00
11
01
00
01
01
11
10
11
10
00
00
00
10
11
00
00
10
11
11
01
01
10
10
01
00
00
10
10
00
00
00
01
00
01
10
10
10
01
11
10
10
00
00
00
10
00
00
10
10
00
01
01
01
10
11
00
10
11
01
11
10
01
00
10
00
00
10
11
11
00
11
10
01
00
01
10
00
00
11
00
00
00
11
11
10
11
01
10
11
01
10
10
00
00
01
10
11
10
00
00
10
11
00
00
11
00
01
10
10
00
11
00
11
00
01
00
11
00
10
00
01
01
11
10
01
11
10
00
00
10
11
00
01
10
10
01
01
10
00
00
10
10
10
11
01
11
11
10
10
00
00
11
10
10
00
11
10
01
00
00
11
10
00
01
10
10
00
11
00
00
11
10
00
00
11
10
10
00
10
10
01
10
00
10
10
10
10
00
10
01
00
10
11
10
10
10
00
00
10
10
00
00
01
10
10
11
00
11
01
00
01
00
10
11
10
01
00
10
10
00
00
10
10
01
00
10
00
01
10
10
10
00
10
01
11
00
00
10
10
10
00
00
10
10
10
01
00
11
11
11
11
00
10
01
00
11
00
01
00
10
01
10
01
01
00
11
10
11
11
10
01
00
10
11
00
10
11
10
00
10
10
01
10
10
10
11
00
01
00
00
01
00
10
11
10
00
00
10
10
10
00
00
01
10
10
00
11
11
00
11
00
00
01
10
10
00
00
10
10
01
10
01
00
00
11
01
11
10
01
10
11
10
00
11
00
00
10
11
00
10
10
00
10
10
00
00
10
10
01
01
00
11
01
00
00
01
10
10
10
01
00
00
00
10
00
00
11
10
00
10
00
11
00
10
10
00
00
00
00
10
00
00
11
10
01
11
01
10
11
10
01
11
11
11
00
10
01
00
10
11
00
00
11
10
01
10
00
11
10
00
00
10
10
11
10
11
00
11
10
01
00
00
00
10
10
10
00
01
00
01
10
00
00
00
10
10
11
01
11
01
00
01
11
10
00
00
10
10
01
01
11
10
01
01
11
00
01
10
10
11
00
10
10
00
01
00
00
00
10
10
00
00
01
10
10
10
10
11
10
01
01
00
00
10
01
00
00
10
11
10
10
10
01
10
00
01
00
11
10
10
11
01
10
11
00
00
11
10
10
10
00
11
00
01
00
01
10
01
10
01
00
11
01
00
11
10
10
11
10
00
00
00
10
10
11
10
11
10
01
10
11
01
00
11
10
11
01
00
10
00
10
11
00
00
11
01
00
10
10
01
00
10
10
10
00
00
00
01
00
00
10
10
10
00
00
00
00
11
11
11
01
01
00
00
00
00
10
10
01
00
00
11
01
10
00
00
10
11
00
11
10
00
01
00
00
10
11
00
00
10
10
01
10
00
00
11
10
11
10
01
00
10
10
00
00
10
10
00
00
00
10
01
11
11
00
00
10
00
00
01
10
11
10
00
10
01
10
00
10
11
10
10
10
00
00
00
10
10
00
10
01
00
10
00
00
11
10
01
00
00
10
00
00
10
00
01
10
00
00
01
01
10
00
01
10
01
00
10
11
00
01
10
10
00
10
01
10
11
01
10
00
00
01
10
11
01
10
11
00
10
10
01
01
10
10
00
10
00
10
10
01
00
00
01
10
00
00
10
11
01
10
01
11
11
01
10
00
11
00
00
10
10
10
10
10
11
10
00
01
00
01
01
10
00
01
00
01
10
00
10
10
11
00
10
10
00
11
11
10
00
00
01
10
00
00
11
11
11
00
10
11
11
11
01
01
01
01
00
01
10
10
00
10
00
01
10
10
10
00
00
11
10
11
11
10
10
10
01
01
01
11
11
11
10
01
00
10
10
01
00
10
11
00
11
00
00
01
10
11
00
11
10
00
10
10
01
00
10
00
00
10
11
00
01
01
10
00
10
10
10
10
10
00
10
00
00
00
11
10
01
00
00
01
11
00
10
10
10
00
00
10
10
00
00
01
00
01
00
10
00
00
11
00
01
11
00
11
10
11
00
10
00
00
00
00
10
10
10
00
00
10
10
01
00
00
10
01
10
10
00
10
01
00
10
01
10
11
00
00
10
10
10
00
11
10
10
01
00
01
11
01
11
01
10
10
11
00
10
10
01
11
10
01
10
10
01
01
11
01
10
01
10
00
00
10
11
01
00
10
10
11
00
00
00
10
00
00
11
10
00
00
11
11
10
00
10
10
11
10
11
00
00
00
00
11
11
11
11
10
01
01
10
11
00
00
11
00
11
10
10
00
11
01
01
00
00
11
00
01
10
10
01
00
00
00
11
10
10
01
10
11
00
01
01
10
10
00
00
10
10
01
01
01
10
00
00
11
10
00
01
11
10
10
00
10
10
01
10
01
00
00
11
01
10
00
01
10
10
10
11
00
01
00
10
10
01
00
11
00
01
01
10
00
01
11
10
10
01
00
10
01
00
11
10
00
11
10
00
01
11
10
00
00
11
11
01
10
10
01
10
10
01
00
11
10
00
01
10
10
00
10
01
00
00
10
00
00
11
01
10
10
10
11
01
10
10
01
11
00
10
00
00
11
00
00
11
00
00
00
10
00
01
00
01
00
10
11
00
00
11
11
00
00
10
10
00
10
11
01
00
01
00
10
10
10
00
00
10
00
10
10
00
01
10
10
00
00
10
00
10
00
10
10
00
10
11
10
01
01
10
00
00
10
00
01
10
00
10
11
00
00
00
11
00
10
10
11
00
10
00
01
11
10
01
00
10
01
10
10
01
10
00
00
11
11
10
10
01
10
00
10
11
11
00
10
10
01
10
10
00
00
11
01
10
11
10
10
11
10
00
01
10
11
10
11
01
00
11
10
01
10
10
00
10
10
00
10
00
00
10
00
00
01
11
00
00
11
10
00
10
10
00
10
00
00
11
10
11
00
11
01
01
01
00
10
01
10
10
10
00
01
00
01
10
01
01
11
00
00
10
11
00
00
00
10
10
10
00
01
11
11
11
00
11
00
01
00
01
10
10
11
01
01
01
00
11
10
00
01
00
10
11
10
01
00
10
10
10
10
10
00
10
01
00
00
00
00
00
10
01
00
10
01
00
00
00
11
10
10
00
01
11
10
00
01
00
00
00
11
10
00
11
00
00
10
00
00
01
10
00
10
10
11
10
00
00
11
11
10
10
00
01
10
00
01
10
10
10
10
00
00
10
10
00
01
11
01
00
11
11
11
10
00
01
00
00
10
10
01
10
00
10
11
10
10
00
00
01
11
10
01
00
00
11
00
10
01
11
10
10
00
00
00
00
10
01
01
10
00
10
00
11
00
10
10
10
00
10
10
00
00
11
01
10
10
10
10
10
00
00
10
10
11
10
00
11
01
00
00
10
10
01
01
10
00
11
01
00
10
00
00
10
00
11
01
00
10
10
01
00
01
11
01
00
00
00
11
00
00
10
10
10
00
00
10
10
00
10
10
10
10
01
00
00
00
01
00
10
10
00
00
10
10
10
01
10
01
00
10
00
01
10
00
10
10
11
00
10
01
00
10
11
11
00
11
10
00
11
00
00
11
10
00
00
00
11
00
00
00
01
10
10
01
00
10
00
00
10
00
01
10
10
10
10
11
10
10
11
00
01
01
11
11
00
11
11
11
01
01
10
01
00
00
11
10
00
01
11
00
01
00
00
10
00
11
11
11
10
00
10
00
10
01
01
10
11
01
00
00
00
10
10
00
00
10
00
01
01
10
11
10
00
00
11
10
00
01
10
01
00
00
10
00
00
11
01
01
11
11
11
11
00
11
10
01
00
11
00
00
10
01
10
10
00
10
10
00
10
10
01
01
00
01
10
10
10
11
01
01
11
10
00
10
00
10
10
01
00
10
01
10
10
01
10
10
11
01
01
10
10
00
10
11
11
10
00
11
10
10
10
11
00
11
10
01
10
10
11
01
00
01
01
11
01
00
11
10
10
01
00
10
10
01
01
10
10
00
10
00
00
00
10
01
01
11
11
00
10
00
10
00
10
01
00
00
01
00
11
00
10
11
00
10
01
00
11
00
00
00
10
00
11
11
01
01
00
10
11
11
10
00
00
11
00
10
11
10
01
00
00
10
10
10
10
01
00
10
10
00
00
10
01
00
10
01
10
00
00
00
11
00
00
10
10
10
00
10
01
10
10
00
10
00
01
00
10
10
10
00
00
11
00
10
01
00
00
00
11
11
10
00
00
00
10
00
00
00
10
10
10
11
10
10
11
01
01
11
01
00
10
00
11
11
01
00
00
00
10
10
10
10
10
10
01
00
01
01
11
10
10
00
11
10
00
10
10
10
10
10
00
01
00
01
00
01
11
10
10
10
00
00
00
10
00
10
10
10
11
00
01
01
11
10
01
11
10
10
00
00
10
10
10
01
00
11
10
10
00
00
00
10
00
01
10
00
10
10
00
11
10
11
10
00
00
01
10
10
01
01
10
01
00
00
01
00
10
00
01
10
01
01
01
10
10
10
11
10
00
10
11
00
00
00
01
01
11
00
01
10
10
00
01
10
11
10
00
11
00
11
10
10
00
00
10
00
00
11
11
00
00
00
00
11
10
00
00
00
11
10
11
01
10
10
00
11
10
00
10
11
11
01
11
11
01
00
10
01
11
10
11
10
01
00
11
10
10
11
00
11
01
00
11
10
11
01
10
00
00
00
10
01
00
10
01
00
10
10
00
10
01
00
00
11
10
10
10
10
00
10
10
00
00
01
10
01
11
01
00
00
00
10
11
10
00
00
10
01
11
00
00
11
10
10
01
00
10
10
01
10
00
10
10
00
01
11
01
10
00
10
01
11
10
10
10
01
01
00
01
11
00
00
10
10
00
10
10
11
01
00
10
00
10
01
11
10
00
00
10
10
01
10
11
00
01
00
10
00
00
00
11
10
00
00
10
11
10
00
00
10
11
11
01
01
11
00
10
11
10
10
00
00
00
00
10
10
01
01
10
01
00
01
11
10
10
11
10
00
10
00
11
01
00
10
11
00
11
10
10
00
00
00
00
10
00
10
10
10
01
10
10
00
00
00
11
11
00
00
10
00
10
00
10
10
00
00
00
11
00
00
11
10
10
01
11
00
01
00
11
10
11
01
10
11
00
10
01
00
11
00
01
10
00
01
01
10
01
10
11
10
10
10
01
00
00
10
10
10
00
00
01
10
01
01
00
00
00
10
10
10
00
11
10
10
10
00
01
10
01
10
01
01
10
00
10
00
00
01
10
10
00
00
11
01
00
10
10
10
00
10
00
00
10
10
11
00
11
00
00
01
01
00
10
00
00
11
00
10
00
10
00
10
00
00
10
10
00
10
11
01
01
00
01
00
10
01
00
01
10
10
11
11
00
10
00
10
10
11
01
00
10
01
00
10
11
01
00
11
00
00
01
10
00
00
10
11
10
01
10
11
00
10
11
11
10
00
00
10
11
01
01
11
11
11
10
01
00
10
11
01
01
10
00
10
00
10
01
00
10
10
10
10
00
01
10
00
11
10
10
00
11
11
10
00
00
11
01
00
01
00
11
00
11
11
11
00
10
10
00
11
10
00
00
00
00
10
01
10
10
00
00
11
11
00
00
00
11
01
00
10
10
01
01
10
00
00
00
11
00
10
00
10
10
10
10
11
00
00
11
11
10
00
11
00
11
00
10
00
00
10
00
10
00
11
11
00
10
00
01
11
10
01
10
11
10
00
00
10
00
10
10
00
11
11
01
00
01
01
00
11
11
10
00
10
10
01
00
00
10
10
00
01
01
11
00
00
11
10
11
01
01
10
10
00
00
01
00
11
10
10
00
10
10
00
11
10
10
10
00
01
00
00
10
10
10
00
01
10
00
11
10
11
10
00
10
10
01
00
10
10
11
10
00
01
00
10
00
01
01
10
11
11
11
00
01
10
11
01
01
00
11
10
00
11
00
00
10
10
10
10
10
11
00
10
10
10
11
11
00
00
10
10
10
00
01
10
11
10
00
01
11
10
11
11
01
10
01
00
11
11
11
11
01
00
10
00
00
00
10
01
10
10
00
01
00
00
01
10
00
11
10
00
00
11
11
00
00
00
10
11
10
00
00
10
10
11
01
10
11
00
00
00
00
11
00
01
10
10
10
00
00
10
01
00
10
10
10
00
00
01
00
00
11
10
01
10
00
00
00
10
00
10
10
00
11
00
01
00
00
01
01
10
01
00
00
00
10
10
10
10
00
10
10
10
01
10
10
10
10
10
00
11
00
11
11
01
10
00
11
00
01
00
11
10
11
10
01
10
01
10
10
11
00
00
10
11
10
10
01
00
00
11
11
11
11
00
11
01
10
00
01
10
10
01
01
10
01
00
00
00
11
10
11
00
00
00
00
10
00
11
10
10
10
00
11
01
01
01
11
10
00
00
11
10
10
00
00
10
10
01
00
10
00
00
11
00
00
11
00
00
11
00
10
00
10
11
10
10
00
00
11
00
00
01
11
11
10
10
01
01
01
01
00
11
10
10
10
10
00
01
10
10
01
00
00
11
11
01
11
11
00
10
01
10
10
10
00
11
10
01
00
00
10
10
00
00
11
01
01
10
01
10
01
01
11
11
00
00
10
10
00
00
11
01
01
11
10
01
01
01
00
00
10
11
00
00
00
10
11
10
11
01
10
10
01
11
11
10
00
00
11
10
00
00
00
01
11
11
10
10
11
10
01
10
00
00
01
00
00
00
10
00
10
11
11
00
10
11
10
10
10
10
01
00
10
00
00
00
11
10
00
01
10
10
00
00
10
10
01
10
00
00
01
11
01
11
00
01
11
00
10
10
01
01
00
11
10
10
00
00
11
10
10
00
10
10
11
01
01
00
10
10
10
01
10
00
00
00
10
10
00
01
11
10
10
10
10
10
10
11
00
01
10
11
01
01
00
11
00
00
11
11
11
00
00
11
10
10
01
00
11
10
01
01
10
11
00
00
01
11
11
01
11
10
10
11
00
11
10
00
10
00
00
00
11
10
10
10
10
00
00
10
11
10
11
11
11
10
10
01
00
11
11
00
10
00
00
00
00
10
10
01
10
01
00
10
10
00
10
01
10
10
10
11
01
00
10
00
01
11
11
00
11
11
00
00
10
00
10
10
00
01
01
00
00
10
00
00
10
00
10
10
11
01
01
00
00
10
00
11
10
00
10
10
11
00
00
00
10
10
00
00
10
01
00
10
10
01
00
11
00
00
01
10
00
11
11
01
11
11
00
11
00
00
00
11
10
10
11
00
10
00
00
10
00
01
10
11
11
01
00
11
00
10
00
01
10
10
11
01
10
11
00
00
00
10
00
01
10
11
10
10
00
00
00
00
11
00
10
00
00
10
10
10
00
00
10
00
01
10
01
11
10
10
10
01
00
00
00
01
10
11
01
10
11
11
01
10
00
01
11
01
11
10
00
01
10
10
01
00
00
00
10
10
00
11
11
01
00
01
00
11
01
01
10
01
10
10
10
01
11
11
00
00
01
10
01
11
10
00
10
00
01
01
10
10
00
11
10
00
00
10
00
00
10
01
00
10
10
01
10
00
00
00
01
10
10
00
10
01
10
10
11
00
01
10
00
10
01
01
10
01
01
00
00
00
10
01
10
10
01
11
10
00
00
01
10
00
00
11
00
00
10
01
00
11
10
10
11
11
01
10
00
00
00
10
00
00
10
10
01
11
11
01
10
01
00
10
10
10
01
00
00
10
10
00
10
00
00
10
10
10
10
10
00
00
10
11
00
01
00
10
10
00
11
00
00
10
11
00
10
11
01
00
10
00
11
00
11
10
01
00
10
11
10
10
00
11
10
11
00
00
10
10
00
00
10
10
10
10
01
01
11
01
01
01
01
11
11
00
10
10
00
00
01
10
10
00
00
11
11
01
00
10
00
10
00
00
00
00
11
10
11
00
00
01
11
11
11
10
00
11
10
00
00
00
10
10
00
00
00
00
10
10
00
10
00
10
11
00
01
11
01
10
11
10
00
10
10
00
01
10
10
00
11
01
00
10
11
10
11
01
00
00
11
01
00
01
10
10
10
00
00
01
10
11
10
10
00
10
11
10
10
00
00
11
10
11
10
10
00
10
01
01
00
11
10
01
10
10
00
11
01
00
11
11
00
00
11
10
10
01
10
01
00
10
00
10
10
01
00
10
11
00
10
00
00
11
10
00
10
00
11
10
00
10
00
10
10
10
01
01
10
01
00
10
00
00
11
01
00
00
00
10
11
10
00
10
10
01
10
00
00
11
11
00
00
01
11
10
01
10
10
01
10
10
00
10
11
00
11
11
00
01
11
11
00
10
10
00
10
10
00
00
01
10
00
10
10
10
00
01
10
01
01
00
00
00
10
10
10
01
00
00
10
01
00
00
01
00
10
00
10
10
01
10
11
10
10
10
00
01
10
01
00
00
00
11
11
00
00
10
10
01
10
01
00
10
01
11
10
11
10
01
00
00
10
00
11
10
10
10
11
10
00
11
01
00
01
00
11
01
11
01
00
01
00
10
11
10
01
00
00
00
10
00
01
00
10
11
10
00
11
00
00
11
10
10
00
11
10
11
00
01
00
10
00
11
10
00
00
00
10
11
10
10
10
00
10
10
11
01
00
10
10
00
00
10
00
00
00
11
10
01
10
00
00
00
01
00
10
11
00
10
10
00
00
01
10
00
11
01
00
01
10
11
01
01
00
10
10
00
01
11
10
00
10
10
10
01
01
01
10
11
00
10
11
00
01
11
10
00
00
01
11
11
11
10
00
10
00
00
01
11
10
01
00
10
00
10
11
00
10
10
01
01
01
11
10
10
10
01
10
00
11
10
01
00
10
10
10
01
10
11
00
00
01
00
11
10
11
00
11
11
00
00
10
00
11
00
10
10
10
00
00
00
11
10
00
01
10
10
00
00
01
00
11
01
10
00
10
11
10
10
00
11
10
01
10
00
11
10
11
11
10
01
10
01
00
00
11
00
00
10
00
00
10
10
11
00
00
00
00
10
11
10
10
11
00
00
11
10
00
10
10
01
00
11
11
11
00
11
00
00
10
00
01
10
00
10
00
00
10
10
10
00
10
10
10
00
10
10
00
10
10
00
00
11
00
10
10
11
00
11
11
01
00
10
10
10
00
00
11
10
01
00
00
10
10
10
11
10
10
11
10
01
10
00
00
11
00
00
01
10
11
00
10
10
01
01
01
11
10
11
00
11
10
10
00
01
00
11
10
11
10
10
10
10
10
01
10
10
00
10
00
10
01
11
10
00
01
00
10
10
00
10
01
00
00
11
11
10
10
10
00
01
00
10
00
00
11
10
10
10
00
10
00
10
10
00
10
01
00
10
10
10
00
01
01
11
01
11
11
11
01
11
00
00
11
11
00
00
01
11
11
10
00
10
10
10
00
01
10
00
11
10
11
00
01
00
10
10
01
01
10
11
00
01
11
00
11
00
10
11
00
00
00
01
11
01
10
00
11
11
00
00
10
10
10
10
01
10
00
01
01
00
00
01
10
01
00
01
00
11
00
01
00
00
00
11
01
00
00
10
10
01
00
00
00
10
00
00
11
01
00
00
00
00
11
10
00
01
10
10
11
00
11
00
10
00
00
10
10
00
01
00
11
01
11
00
00
00
11
10
00
10
00
01
10
00
00
00
11
01
10
11
00
00
10
10
00
11
11
00
10
10
00
01
11
11
11
00
00
10
11
00
10
10
11
01
01
01
11
11
10
00
00
00
11
01
11
10
00
01
10
10
11
00
01
01
10
11
01
01
11
10
00
10
10
00
00
11
00
00
00
10
10
10
00
10
00
00
10
10
00
10
00
10
10
00
10
00
10
11
00
10
10
10
01
00
11
10
10
11
01
11
10
10
00
10
10
10
01
00
01
11
00
11
10
01
00
01
10
01
00
10
00
10
10
01
00
11
11
01
10
01
10
01
10
10
10
10
11
00
11
10
10
00
01
00
00
10
10
10
00
00
00
11
10
00
00
11
10
00
00
10
00
00
10
10
00
00
11
10
10
11
01
01
11
00
01
10
01
11
10
00
01
10
11
00
01
10
10
00
11
00
00
01
11
11
01
10
01
10
11
10
00
01
10
00
01
00
11
00
00
10
00
00
10
10
01
10
00
00
11
01
11
00
10
00
10
00
01
10
11
01
01
10
10
11
00
10
10
10
01
00
00
10
01
00
00
00
10
10
10
00
00
00
10
01
01
00
10
11
10
00
00
00
10
10
00
00
00
11
10
10
11
01
00
00
10
10
00
00
00
10
01
00
10
10
00
11
10
10
00
11
00
00
10
10
00
11
10
00
11
00
00
10
00
01
00
11
01
01
10
10
10
00
00
01
10
11
00
10
00
10
11
10
11
00
01
10
10
00
00
11
11
00
11
10
00
10
00
11
01
01
00
10
10
10
11
11
00
01
10
11
00
11
10
01
00
10
10
00
01
10
10
01
01
01
01
11
00
01
00
01
00
11
10
01
00
00
00
10
10
10
11
11
00
01
10
01
00
01
10
00
01
11
00
00
10
11
00
10
10
10
10
10
01
00
10
00
10
00
01
01
00
00
00
00
00
11
10
00
11
00
00
01
10
10
10
00
10
00
00
00
01
11
00
11
00
01
10
00
11
10
00
00
11
01
01
00
10
11
00
11
10
00
00
10
10
11
10
00
10
01
00
01
01
10
10
11
00
00
01
11
11
00
01
10
10
00
00
00
00
10
11
10
10
10
00
10
01
11
00
11
10
10
11
10
11
10
01
01
01
11
00
01
00
10
00
00
11
01
00
10
10
10
11
00
10
10
10
01
10
11
00
00
01
01
11
01
10
11
11
00
11
10
10
10
00
00
00
10
10
01
10
10
01
10
00
10
01
00
10
10
00
00
10
11
00
11
01
00
00
11
00
10
11
00
01
11
10
11
10
01
00
00
00
00
10
10
10
11
10
11
10
11
00
00
00
00
00
10
00
10
00
00
10
00
00
00
01
10
11
00
10
10
01
01
10
01
00
11
10
01
00
10
10
01
00
10
00
01
10
00
00
11
11
11
10
01
10
11
00
00
11
10
11
01
10
11
11
00
10
10
00
11
11
01
00
11
01
00
10
10
10
01
00
10
10
01
11
10
01
01
01
10
00
11
10
00
00
10
00
01
11
11
10
00
00
00
10
11
00
01
10
10
00
10
00
00
00
10
10
00
00
10
00
10
00
00
11
01
10
10
00
11
00
11
11
00
11
10
00
11
11
00
00
00
00
10
01
10
11
00
11
00
10
01
01
00
11
01
11
11
00
00
00
10
10
00
00
11
01
00
10
00
11
00
10
00
10
11
10
10
01
11
10
00
00
10
01
10
11
00
01
10
01
00
00
00
10
10
00
00
11
00
00
10
00
01
11
10
01
10
11
10
10
01
00
00
10
10
00
00
10
10
01
00
11
10
11
11
11
11
11
01
01
11
11
11
00
01
10
11
00
01
10
11
10
00
11
00
00
00
10
10
00
01
11
11
10
11
10
01
01
00
11
10
10
00
11
10
00
11
00
10
10
10
00
10
11
00
10
11
10
01
10
11
01
01
10
00
11
10
00
00
00
10
10
00
10
00
01
01
00
10
10
11
11
11
01
10
10
10
10
10
10
11
01
00
00
10
00
10
11
01
10
11
11
10
11
01
00
00
11
10
00
00
10
00
00
00
10
11
00
10
00
00
11
00
10
10
00
00
01
10
10
01
00
10
00
00
00
10
10
00
00
10
11
00
01
00
01
00
10
10
00
00
11
00
00
11
10
00
11
01
00
11
11
10
11
01
10
00
11
01
10
11
00
10
11
10
01
11
11
00
10
10
10
00
00
00
10
01
10
00
10
00
00
01
00
10
11
00
01
10
00
01
00
11
10
11
00
10
10
11
00
01
10
10
10
00
11
00
01
11
01
01
11
10
10
10
01
00
10
10
00
00
11
11
10
00
01
11
00
10
10
10
00
00
11
10
00
00
10
10
11
11
01
10
11
10
11
11
00
10
10
00
10
10
00
10
11
00
01
11
10
00
00
00
01
10
10
10
11
00
10
10
00
00
10
00
10
00
11
00
01
10
00
11
10
01
01
11
10
10
01
00
10
10
10
01
01
10
10
11
00
00
00
11
00
00
00
00
10
10
10
10
01
11
00
10
10
00
00
00
00
10
10
11
00
01
01
01
10
10
00
00
10
00
01
10
00
11
10
10
00
01
10
00
01
11
10
01
00
11
01
00
00
00
10
10
00
00
10
00
00
00
10
00
01
10
11
00
00
00
11
00
01
10
10
10
00
10
11
00
11
11
00
10
01
01
00
00
00
00
00
11
01
10
10
10
00
01
10
11
00
00
00
01
01
10
11
00
00
00
10
10
00
10
10
11
10
00
10
10
10
00
00
10
11
10
00
10
00
01
10
00
01
11
01
00
01
10
11
00
01
00
10
11
00
11
10
01
01
00
10
10
01
11
11
00
10
00
00
01
00
10
11
00
01
00
11
00
10
11
11
01
00
00
00
00
11
10
11
00
00
00
11
01
00
00
00
10
10
00
10
10
10
10
10
00
10
00
01
10
10
11
10
00
10
00
00
00
00
10
01
01
11
10
11
00
10
00
00
10
11
10
11
10
01
00
01
11
01
01
11
10
00
10
11
10
01
00
10
01
00
11
11
00
01
10
11
01
10
10
11
01
00
10
00
00
10
00
11
00
01
10
10
10
00
00
10
00
00
11
10
10
10
00
10
11
10
10
01
11
00
11
00
10
00
10
10
00
10
10
01
01
10
11
00
10
10
10
00
00
11
10
10
00
00
00
10
00
11
00
01
10
11
00
11
01
00
10
00
10
10
10
00
01
00
00
10
00
01
01
01
01
00
10
01
00
10
10
10
00
01
11
10
10
00
00
01
00
00
11
10
00
11
10
01
11
11
00
00
00
01
10
10
01
00
10
00
10
11
10
11
01
10
10
00
00
00
10
10
10
00
01
11
00
11
10
11
00
00
10
10
10
00
11
01
10
10
10
10
01
00
11
00
01
01
00
01
01
01
10
10
00
10
10
01
11
10
00
01
10
10
10
00
01
01
11
10
11
01
10
11
10
00
00
11
10
00
10
10
01
00
01
00
00
01
00
01
00
11
11
10
00
00
01
10
00
00
10
10
00
11
10
01
10
11
10
01
00
11
00
00
10
10
10
00
11
01
11
10
01
01
10
11
00
00
00
10
10
10
00
00
01
11
10
00
00
10
10
01
00
10
00
01
00
11
01
11
10
11
10
00
00
11
10
10
11
00
10
00
01
00
01
00
00
10
10
11
00
00
10
00
10
00
00
11
00
10
00
00
00
11
10
01
10
00
10
10
00
01
10
10
11
00
10
10
10
01
11
00
00
00
01
01
11
00
10
10
00
11
10
00
00
10
10
00
10
11
00
00
11
10
11
10
00
10
00
00
11
11
01
10
11
00
10
11
00
10
00
10
10
01
00
10
11
01
10
11
01
10
10
11
01
00
11
11
10
00
01
10
01
10
01
00
00
00
10
00
01
11
10
01
10
11
00
10
00
00
00
10
11
00
00
00
01
10
00
10
00
00
00
00
11
01
10
01
11
00
01
11
00
00
10
01
10
11
00
11
00
00
11
11
10
01
10
10
10
00
10
10
00
00
00
01
11
10
10
10
10
00
10
00
00
11
10
11
00
01
01
01
10
10
00
00
00
10
00
10
00
00
00
01
10
00
00
10
11
10
11
11
11
00
00
00
11
00
01
10
10
11
00
01
00
10
10
11
01
00
00
11
01
00
11
10
11
00
01
00
01
10
10
00
00
10
01
01
11
10
11
11
10
00
10
10
00
00
00
10
00
01
10
00
01
10
01
10
10
10
00
00
00
00
11
10
00
10
00
00
10
10
00
00
10
10
10
01
01
11
10
10
10
11
11
00
00
11
11
00
11
11
00
00
10
01
10
11
01
10
01
00
11
10
00
10
00
01
10
11
00
00
10
11
00
00
10
10
01
00
11
00
00
00
11
00
01
01
10
10
00
11
00
00
10
00
10
10
01
00
10
10
10
10
00
00
10
00
01
11
10
10
10
10
00
11
00
10
11
01
10
01
10
11
00
10
01
00
10
11
01
00
10
10
01
00
10
10
10
01
11
10
00
01
10
10
10
11
10
00
10
00
00
11
00
11
01
00
01
01
10
10
10
10
00
00
00
10
00
00
00
11
10
01
10
01
11
10
10
10
00
11
01
00
11
11
10
01
10
01
10
10
00
01
01
10
00
01
00
01
00
00
10
00
10
10
00
01
11
01
10
00
10
01
10
11
00
10
10
10
00
10
00
00
00
00
00
10
10
10
00
00
10
11
01
00
10
10
10
10
01
00
10
00
00
10
11
11
10
11
10
00
00
10
01
11
10
10
00
01
10
00
00
00
10
10
10
10
10
01
01
11
01
11
01
10
10
10
01
00
11
11
00
00
11
11
01
00
00
11
10
10
10
00
10
00
10
00
10
11
11
11
01
01
00
00
00
10
00
10
11
01
01
11
11
00
10
01
10
10
00
01
10
00
00
00
00
10
10
01
00
11
10
00
10
11
00
10
10
00
00
00
00
10
11
00
00
10
11
00
01
00
01
00
01
11
10
10
00
00
00
00
10
01
00
01
00
10
00
00
00
10
10
01
11
11
01
01
00
10
00
10
10
10
00
10
00
00
00
10
10
10
00
01
11
11
00
10
00
11
11
11
10
01
01
10
10
10
00
00
00
00
10
11
00
11
11
10
01
00
11
10
11
10
00
00
00
11
10
10
10
00
10
00
01
10
00
10
11
01
10
01
01
11
01
01
10
11
10
11
01
10
00
00
10
10
01
00
11
00
11
10
11
11
01
00
11
01
00
10
11
00
11
00
00
00
00
10
00
01
10
11
10
11
00
10
10
10
00
00
11
00
10
01
00
01
00
01
10
10
00
10
01
00
01
10
01
00
00
00
01
10
01
11
10
10
11
00
00
01
11
10
00
01
10
10
10
01
10
10
01
10
10
00
00
11
10
10
01
00
11
10
00
01
10
11
00
10
10
00
10
10
00
00
01
00
10
10
10
10
01
11
11
11
01
00
00
00
11
10
00
10
10
01
00
10
00
00
11
11
01
00
01
01
01
11
10
00
00
01
00
10
10
00
00
10
01
10
11
00
00
10
00
10
00
10
10
00
10
11
10
11
01
10
01
01
01
10
01
00
00
10
10
01
01
01
11
10
00
01
11
00
11
10
00
01
10
01
00
01
11
10
00
01
00
00
00
10
11
01
00
11
11
11
11
00
00
00
00
10
00
00
10
10
01
00
00
10
01
10
10
10
00
10
11
01
10
00
00
10
01
10
11
10
00
00
00
10
10
10
01
01
00
10
00
00
10
10
11
11
00
00
11
00
10
01
11
00
11
10
10
11
11
01
00
11
10
10
10
01
11
11
00
00
01
10
11
01
10
10
11
00
10
00
00
10
00
10
11
10
00
01
10
01
01
00
10
00
10
10
00
00
00
00
10
00
00
01
10
10
01
00
00
00
00
10
00
01
10
01
11
11
00
00
00
01
01
00
11
10
00
01
10
10
10
01
00
11
10
00
00
10
10
00
10
11
01
00
00
11
01
10
10
01
00
10
00
00
11
10
00
10
01
11
00
01
00
11
10
00
00
01
01
00
01
11
10
00
11
00
01
10
01
01
10
10
11
00
11
01
10
00
00
11
10
11
00
10
00
01
10
00
01
10
10
01
11
10
10
00
00
00
10
11
00
00
00
11
00
01
10
00
10
10
00
00
01
00
11
10
10
11
10
01
01
01
11
01
01
11
10
10
10
01
00
00
11
10
10
10
01
00
00
10
11
01
00
10
10
10
00
01
11
00
01
01
00
10
00
11
11
00
01
10
10
10
01
00
10
10
00
01
11
00
10
10
00
10
10
00
00
01
11
01
00
10
10
10
00
10
00
10
11
00
00
10
11
01
10
01
00
10
00
00
10
01
01
11
00
11
00
00
00
10
10
01
00
01
11
11
01
01
10
10
11
01
00
11
11
00
00
10
00
00
10
11
01
01
01
10
11
10
10
11
00
00
10
10
00
00
11
10
11
11
01
00
10
00
00
00
10
10
00
00
10
10
10
11
00
00
10
11
00
10
00
00
10
10
11
11
00
10
10
01
00
11
10
10
11
00
00
01
01
00
10
11
00
00
11
00
00
10
10
10
00
10
11
10
01
10
11
00
01
01
00
00
10
00
00
00
10
10
11
01
01
00
00
01
01
11
10
11
01
10
10
00
00
11
00
00
01
10
10
01
10
10
10
10
10
00
01
11
01
10
00
00
01
00
01
10
10
01
11
10
10
01
00
10
01
00
10
10
00
10
01
10
00
11
00
10
00
11
00
10
11
01
10
01
00
10
11
00
01
00
10
10
01
10
00
01
10
10
11
00
11
00
10
01
10
01
10
11
01
10
00
10
10
01
10
11
10
01
10
10
01
01
01
10
00
10
01
01
01
00
10
10
10
00
00
10
10
00
01
10
10
10
10
00
10
11
00
11
10
00
10
00
00
00
00
10
00
10
01
00
11
01
10
10
00
00
11
10
00
10
01
11
10
00
10
00
01
11
01
10
00
00
00
10
00
00
10
00
00
00
10
00
10
01
11
00
11
10
11
10
00
00
10
10
00
00
10
10
11
10
01
00
10
10
10
10
00
01
11
01
00
00
10
01
11
11
01
11
11
11
11
00
00
01
10
10
00
01
11
11
00
10
00
00
10
00
10
10
00
00
11
01
11
00
00
10
00
10
01
00
10
00
00
10
10
01
01
11
00
10
11
01
00
00
01
10
11
10
10
00
10
00
11
11
00
10
10
01
01
10
10
10
00
01
01
11
11
00
00
00
00
00
10
10
01
11
00
00
10
10
01
11
00
01
01
11
10
11
10
01
00
11
01
10
10
00
11
10
11
01
00
10
10
11
10
10
10
10
00
00
00
11
10
11
00
00
00
01
11
11
01
00
11
11
11
01
00
10
10
01
00
11
10
00
10
00
01
10
10
00
10
10
00
10
01
11
00
10
10
00
10
00
00
11
10
11
00
01
01
10
00
00
10
10
10
00
10
01
00
01
10
10
00
01
00
00
00
11
00
00
01
10
10
11
00
11
01
01
10
01
10
10
10
00
10
00
01
10
10
00
00
10
10
00
01
10
01
10
10
00
01
00
10
01
10
00
00
11
10
00
00
11
10
00
11
01
10
00
00
01
11
11
00
10
00
10
00
10
10
01
00
10
10
00
00
10
11
00
10
00
00
10
10
10
01
10
00
00
10
10
10
00
10
10
10
10
10
11
00
00
11
01
11
11
00
11
01
01
11
11
01
01
00
01
10
11
00
10
00
10
10
00
01
10
11
01
11
00
00
10
01
00
00
10
10
00
01
01
00
10
10
10
00
10
10
00
00
11
10
00
00
00
01
00
11
00
11
11
00
10
10
01
10
10
10
01
11
11
00
00
10
00
00
11
00
10
10
00
10
00
10
10
10
00
10
00
10
10
01
10
00
00
00
10
10
01
01
00
11
10
00
01
01
11
10
10
01
01
01
00
00
11
10
10
10
11
00
11
10
00
10
11
00
00
00
10
10
01
00
10
11
00
10
11
10
00
10
00
01
00
01
10
10
01
00
11
00
00
10
11
00
11
01
10
11
10
10
00
10
10
00
00
10
00
11
01
00
00
01
10
01
11
10
00
11
10
00
01
01
10
10
11
01
11
11
10
10
00
00
11
01
00
10
00
00
10
11
10
00
00
00
10
01
10
11
11
01
01
10
01
10
10
00
01
00
11
00
00
11
11
11
11
11
00
10
00
00
11
10
10
00
10
10
11
01
00
01
11
11
00
11
10
10
10
00
00
11
00
00
10
00
00
00
10
11
10
10
11
01
11
01
01
10
10
01
00
11
11
00
00
10
01
10
00
00
10
00
11
10
00
10
00
10
10
11
00
10
00
10
01
00
01
01
00
00
10
00
10
11
01
00
11
10
00
00
10
10
01
11
11
00
00
00
11
11
00
00
10
10
11
10
10
00
10
10
10
00
01
01
00
01
00
00
10
00
01
00
10
10
10
01
10
11
10
00
00
01
11
00
01
10
00
00
10
10
10
00
00
10
11
00
00
10
10
01
10
01
10
10
11
10
01
01
11
10
11
10
00
10
10
00
01
00
10
01
11
10
10
00
10
00
00
01
10
10
01
00
10
01
00
01
10
10
00
00
10
10
11
10
00
10
00
11
11
00
10
10
00
00
10
10
11
00
01
10
10
00
00
01
00
10
11
00
00
01
11
10
00
01
10
00
10
10
00
11
11
00
11
00
00
00
10
00
11
10
10
10
00
00
10
10
00
00
10
10
00
10
11
00
10
00
11
00
00
00
11
11
01
11
11
00
01
10
00
01
01
10
11
00
00
00
11
00
10
00
01
10
10
10
01
01
10
01
00
10
11
10
01
01
00
10
01
10
00
10
10
10
00
10
10
01
11
00
10
00
10
01
11
10
00
00
00
11
10
11
00
00
10
00
01
11
01
01
01
00
10
00
10
10
11
00
00
10
00
01
11
10
10
01
01
00
11
00
10
10
00
10
00
00
00
11
10
10
10
11
10
11
10
00
00
00
10
11
11
01
10
11
01
10
11
00
01
11
10
01
10
00
10
10
01
00
00
10
01
10
00
00
01
00
01
10
00
10
11
01
10
11
00
00
11
00
01
11
10
00
10
10
11
01
01
10
10
01
00
10
10
00
01
10
10
11
01
01
11
00
11
10
00
10
01
00
10
11
00
11
11
01
01
00
01
00
10
10
00
01
10
10
11
00
01
10
00
10
00
11
11
10
01
01
00
00
01
00
10
10
10
10
10
10
00
11
00
10
11
00
11
00
00
01
01
11
10
10
10
00
10
10
10
00
11
01
01
01
01
11
10
01
00
11
01
00
10
00
11
10
10
00
10
10
10
11
00
11
10
10
00
01
01
10
01
00
10
01
00
11
00
01
10
10
01
00
11
11
00
01
10
11
10
00
10
11
00
10
11
11
10
10
00
00
00
00
11
10
10
00
10
10
00
01
11
00
10
00
10
11
10
00
11
10
00
01
00
00
11
10
01
00
10
10
00
00
00
00
10
10
01
00
01
10
00
10
10
00
11
10
01
11
00
11
11
00
00
11
01
01
00
10
00
10
10
10
10
00
11
10
00
00
10
01
00
10
01
00
10
10
00
01
10
10
10
10
00
10
00
10
00
00
01
00
11
11
01
10
10
10
10
01
00
00
11
10
11
10
10
01
00
11
10
01
00
11
10
00
11
11
11
00
00
11
00
00
10
00
00
10
00
11
11
10
00
00
10
00
00
10
10
10
01
01
10
00
01
11
00
10
00
00
10
10
10
11
00
00
00
00
10
01
00
00
11
01
11
10
00
00
00
10
00
11
10
00
00
01
10
10
10
01
01
00
10
00
10
01
01
10
01
00
00
10
10
01
10
11
00
10
00
01
00
10
00
00
00
01
10
10
10
00
11
01
00
10
00
00
01
10
01
01
11
11
11
00
10
10
00
00
01
11
10
10
11
00
00
10
01
10
10
10
00
10
00
00
01
00
10
10
10
10
10
10
00
00
11
10
10
11
01
00
01
01
00
00
10
00
00
10
10
00
01
11
11
01
11
10
10
10
10
00
01
10
00
00
10
01
10
00
00
10
00
01
00
10
01
00
10
11
00
00
00
11
10
11
00
00
00
11
11
01
00
10
10
11
10
10
01
00
11
00
00
00
11
01
00
00
10
01
00
10
11
00
10
10
00
01
10
10
00
10
00
00
01
00
00
11
10
00
01
10
10
00
11
01
11
11
00
11
11
10
10
00
11
10
00
11
00
01
10
00
10
01
01
01
11
10
10
10
11
00
10
10
01
00
01
00
10
10
10
11
10
10
01
10
00
10
00
01
10
01
00
11
00
11
00
10
00
00
00
10
11
00
00
11
01
00
01
01
11
10
10
00
10
00
00
10
10
10
00
00
10
00
11
10
00
00
10
11
10
00
11
00
10
00
10
10
10
11
00
00
11
10
10
11
00
00
11
10
10
00
01
11
00
00
00
00
10
10
01
00
00
01
11
00
01
00
10
01
00
11
00
01
10
01
10
01
01
11
11
00
01
10
00
00
10
10
01
11
10
11
11
00
10
11
00
11
00
00
00
11
10
00
10
00
00
00
10
00
10
10
10
10
00
00
00
00
11
10
00
01
11
11
10
01
00
10
11
00
00
10
11
00
00
11
01
00
01
00
11
00
11
10
10
00
01
00
10
10
01
00
01
00
10
00
10
11
01
00
11
00
11
00
10
10
00
11
01
00
10
01
10
10
10
10
10
00
00
01
01
00
00
10
11
01
01
11
10
00
00
00
00
00
10
11
10
10
11
00
00
10
10
00
10
00
00
00
10
11
01
10
10
00
10
01
11
01
10
11
01
11
00
10
00
00
00
11
00
11
01
00
10
01
10
01
10
11
00
00
00
01
01
10
10
10
01
00
00
11
10
10
10
10
00
00
11
10
00
00
01
00
10
00
00
00
11
00
11
10
00
11
00
00
00
10
10
10
10
01
00
11
00
00
10
11
00
00
11
00
10
10
11
00
10
11
00
10
10
11
00
10
11
00
00
11
11
10
00
11
10
10
10
01
01
00
00
10
10
10
01
01
10
10
01
10
10
11
00
00
11
00
01
10
10
00
10
00
10
10
10
10
01
10
10
10
10
01
00
00
00
10
10
00
10
10
01
00
01
10
10
01
10
10
11
00
00
10
11
10
00
10
10
00
00
01
10
10
11
00
10
00
01
01
00
11
10
11
01
11
00
10
11
01
10
01
11
00
10
10
00
00
10
10
10
10
00
00
00
01
10
01
00
11
10
11
10
00
00
00
01
10
10
10
10
00
10
00
10
00
11
00
10
10
11
00
00
01
10
10
00
10
11
01
10
10
00
00
11
00
11
01
00
10
01
00
00
10
10
00
00
01
01
10
11
11
11
10
11
01
10
11
00
10
11
00
01
10
10
00
11
00
00
10
10
11
10
10
00
00
01
00
00
11
10
11
10
10
00
00
11
10
11
00
10
10
00
11
01
00
01
01
01
10
11
10
00
10
11
00
10
00
01
01
00
01
01
10
00
00
11
00
00
11
10
00
10
11
01
00
01
10
11
10
11
00
00
00
10
01
00
00
00
10
00
10
11
11
11
00
01
00
10
00
00
10
01
00
11
01
01
00
00
10
10
00
00
10
10
00
01
00
10
11
01
00
11
01
01
01
11
10
10
00
01
11
10
10
01
11
00
10
10
10
10
00
01
01
10
11
00
00
11
10
00
00
00
10
10
01
10
10
00
11
10
10
00
00
00
00
01
01
01
10
00
00
10
01
00
00
10
10
01
01
11
01
00
00
10
10
00
01
10
11
10
00
01
01
11
00
01
11
10
10
00
10
11
10
01
00
11
00
01
11
01
01
10
10
11
11
00
11
10
00
00
10
00
10
10
01
11
11
11
11
11
11
11
00
00
10
10
00
00
01
00
01
00
00
00
01
01
10
00
00
11
10
10
10
00
01
01
11
10
01
01
11
00
00
10
10
00
11
11
00
00
00
00
00
00
10
00
11
00
11
01
00
10
00
00
11
00
00
11
00
10
11
10
10
01
00
00
11
01
01
10
00
11
10
10
01
10
10
10
01
00
11
11
10
11
10
10
00
00
11
11
01
00
10
00
00
00
10
11
10
10
01
01
00
00
10
01
10
00
00
10
00
10
10
01
10
01
01
10
00
00
10
00
10
11
00
01
11
00
00
10
00
10
00
01
01
11
10
10
11
01
10
00
00
11
10
01
01
01
00
01
00
01
11
10
10
01
01
10
10
00
00
10
10
10
00
00
01
00
00
10
10
01
10
10
11
10
00
11
11
00
11
00
10
10
01
10
00
00
10
00
01
10
01
11
10
01
00
00
01
10
10
01
10
10
00
10
10
00
11
01
10
11
10
10
10
00
00
11
10
00
10
00
10
10
01
00
01
00
01
10
00
00
00
00
10
11
01
00
10
00
10
10
10
10
01
11
11
01
10
00
10
11
01
00
11
10
00
10
10
00
10
00
01
00
00
10
00
00
00
10
10
10
01
00
11
11
10
10
10
01
10
01
00
11
00
01
10
10
10
00
00
01
00
10
10
11
00
10
10
00
00
10
00
00
10
10
11
01
00
10
10
10
11
10
00
10
10
00
00
11
10
10
11
10
00
00
00
10
10
01
11
11
00
11
10
00
11
10
01
00
10
00
11
11
00
11
00
10
00
10
00
10
10
01
01
10
10
10
01
00
01
10
01
11
00
00
00
01
10
11
10
00
00
10
00
00
00
10
10
00
11
00
11
10
00
00
11
11
10
10
11
00
00
00
11
11
00
00
00
00
00
11
11
11
11
11
01
01
01
00
10
01
10
11
01
01
10
11
01
00
11
10
11
10
00
00
10
00
11
11
01
00
10
00
10
10
01
10
10
00
00
11
11
10
00
00
00
01
00
00
10
10
00
00
01
01
00
11
10
00
01
10
01
00
00
01
00
11
00
01
10
00
00
10
01
10
10
00
00
11
00
11
01
00
10
00
01
11
00
10
11
00
11
10
01
01
11
10
10
10
01
01
10
00
00
10
00
00
10
10
10
00
01
10
10
11
10
01
01
00
11
00
00
10
00
00
00
11
10
11
00
00
10
10
00
01
00
10
10
10
01
00
11
00
01
10
10
10
10
10
00
00
11
00
00
00
10
10
00
11
11
00
00
01
00
11
10
10
11
00
00
10
11
01
00
10
00
01
00
10
11
01
10
10
00
01
00
10
11
00
10
11
00
00
10
10
00
00
10
10
00
10
01
10
10
00
10
01
10
00
00
10
11
11
00
00
11
11
00
11
10
10
10
00
00
11
10
00
11
00
10
00
00
10
01
00
10
11
01
11
00
10
10
00
01
00
00
00
00
10
10
00
11
10
00
00
10
00
00
00
10
10
00
10
10
10
10
10
00
00
01
01
00
00
11
10
00
01
10
00
11
01
11
11
00
01
00
10
00
10
10
01
10
11
01
10
10
00
00
10
10
00
00
01
10
00
00
01
11
01
11
10
11
10
10
01
00
10
10
00
10
00
00
11
00
10
10
10
00
00
00
11
10
01
10
00
11
10
00
00
10
10
00
10
10
10
10
10
00
01
00
10
10
10
01
00
00
00
01
01
01
00
10
11
00
00
00
10
00
00
10
00
10
01
10
00
00
01
01
11
00
01
10
10
11
11
00
00
10
01
10
11
11
10
10
11
01
01
00
10
11
10
01
00
11
11
00
01
10
10
01
10
01
10
00
11
01
11
00
00
11
11
10
11
10
01
00
00
10
00
00
11
10
01
01
10
00
00
10
00
10
10
01
00
10
00
10
10
00
10
10
10
00
10
00
10
10
10
00
10
00
10
01
10
11
11
00
11
01
00
11
00
00
11
10
10
10
00
10
00
00
00
11
00
11
00
00
11
00
10
00
10
11
10
00
00
11
10
10
10
10
10
00
01
01
11
10
11
10
01
00
10
01
01
10
11
10
01
11
11
00
00
00
10
10
01
01
10
11
01
10
00
01
10
10
10
00
10
00
11
10
11
00
00
01
00
00
10
11
01
11
10
11
10
00
01
00
10
10
00
00
00
00
00
10
10
00
00
10
00
01
00
00
00
00
10
01
10
00
00
01
00
11
11
01
10
10
11
01
00
11
11
11
01
11
10
11
11
11
10
01
00
10
10
00
00
11
00
10
01
10
11
00
11
01
11
10
10
00
01
00
00
01
10
10
01
11
00
11
01
00
10
00
11
00
10
10
01
00
10
01
10
10
00
10
11
00
01
10
01
00
10
10
10
10
01
01
01
01
11
11
00
10
01
00
10
10
10
11
00
00
01
00
11
10
10
00
01
01
10
10
00
00
11
11
11
11
11
01
00
11
10
01
01
10
00
00
00
00
10
10
11
01
00
01
10
00
11
10
00
10
10
00
10
00
11
01
11
01
00
00
11
00
10
01
00
00
00
10
00
10
11
10
01
00
10
00
01
11
10
01
00
00
10
00
01
10
10
00
11
01
10
10
00
00
10
00
10
10
01
01
00
11
10
01
10
01
10
10
10
00
00
10
00
00
10
10
00
11
10
10
10
01
00
11
10
00
00
01
10
10
10
00
10
11
11
11
10
10
00
11
00
01
00
00
00
11
01
10
10
01
01
11
11
11
00
10
00
00
10
11
00
00
01
11
11
00
10
10
11
10
10
00
01
00
10
10
00
01
00
11
10
00
10
11
00
00
11
11
01
10
00
00
10
10
00
10
11
00
00
01
00
11
00
01
10
10
01
01
00
00
01
00
11
10
11
10
01
00
10
00
10
10
00
00
10
10
00
00
00
10
00
01
10
11
00
00
10
00
01
10
10
00
01
10
01
10
00
10
11
00
01
11
00
01
11
00
00
00
10
10
10
00
01
11
11
10
01
11
01
00
00
10
00
00
01
10
11
10
10
11
00
00
10
10
00
10
00
10
10
01
10
10
00
00
10
10
10
00
00
10
00
00
10
00
10
10
00
10
01
10
11
01
01
11
00
00
11
01
01
11
11
01
10
10
00
00
01
11
10
00
11
10
10
00
00
10
10
00
11
00
10
11
10
10
10
01
10
00
10
10
01
01
10
01
01
00
10
00
00
10
10
01
00
11
00
00
01
11
01
00
10
10
00
00
10
00
00
00
10
10
10
10
10
11
11
11
00
11
00
10
00
00
01
00
00
11
10
00
11
11
01
00
10
00
10
11
10
10
01
00
10
10
00
00
01
10
00
10
10
00
11
01
00
10
10
10
00
00
11
00
00
11
00
10
00
10
10
10
00
10
00
01
10
00
00
11
00
10
00
11
00
01
00
01
00
10
10
01
00
10
10
11
10
11
00
10
00
10
00
01
00
10
00
00
11
01
11
10
11
11
01
00
01
10
11
00
00
01
10
00
00
11
10
00
11
00
01
10
10
11
01
00
00
00
11
00
01
01
00
11
10
00
00
00
10
10
10
10
01
01
00
11
11
01
01
10
11
10
00
00
10
10
10
00
00
00
01
00
10
10
00
11
00
01
10
10
10
00
11
01
00
11
10
00
11
11
00
10
00
00
10
11
10
00
10
00
01
11
10
00
00
10
11
10
10
00
00
10
00
10
10
00
01
00
00
10
10
00
00
00
01
11
01
11
10
10
10
00
11
10
10
00
00
01
11
00
00
11
10
00
00
10
10
00
01
00
00
01
10
00
00
00
11
00
11
00
10
10
00
10
00
00
10
00
01
11
10
11
10
01
00
11
00
01
10
10
01
10
00
00
00
11
00
00
10
00
10
01
11
00
10
10
00
10
00
11
10
00
01
10
10
01
01
00
10
00
10
11
01
00
11
11
00
01
00
00
10
00
00
00
11
10
01
10
11
10
00
11
10
11
01
00
11
11
00
00
10
10
01
01
10
01
00
00
10
11
00
00
00
11
10
10
00
10
01
00
10
11
01
00
01
00
10
11
00
10
00
10
11
00
01
10
10
00
10
00
01
10
11
00
00
10
10
00
10
10
01
11
11
01
11
10
00
01
10
00
01
10
10
01
11
11
10
00
01
10
11
01
10
10
01
11
10
01
01
01
01
11
11
11
00
10
00
00
10
10
11
10
10
10
00
00
00
11
00
00
10
10
00
01
00
00
10
00
11
00
10
00
00
11
10
10
10
00
00
01
10
10
00
10
10
00
10
00
10
10
01
10
10
10
10
11
11
11
00
00
11
00
00
10
10
11
00
00
10
01
10
10
00
00
00
00
10
00
10
11
00
10
11
00
10
00
10
11
10
10
00
10
10
11
10
00
01
10
01
00
10
10
00
10
00
10
10
00
11
10
11
10
00
10
01
10
10
01
01
00
11
10
01
10
10
00
10
01
00
10
10
10
10
00
10
00
10
00
00
10
01
10
10
01
00
00
00
10
10
01
10
10
10
01
00
11
10
10
10
00
10
10
10
00
10
00
00
00
00
10
10
10
00
01
10
11
00
00
11
10
10
01
01
10
10
10
10
00
00
11
01
00
01
01
00
00
10
10
00
00
00
10
01
01
10
01
00
11
10
10
10
10
11
01
00
11
00
10
10
01
00
01
01
11
10
10
10
00
10
11
01
01
11
10
00
00
11
10
00
00
00
00
10
01
10
10
01
00
00
00
10
00
01
10
10
01
00
11
11
11
00
01
10
11
00
01
00
11
11
00
00
00
00
10
11
01
01
10
00
00
00
11
10
10
00
01
10
00
01
11
10
01
10
00
00
10
00
01
10
10
10
00
01
00
00
11
10
10
11
11
00
00
10
11
00
00
00
00
00
10
01
10
00
00
01
01
10
00
00
10
01
11
00
10
00
01
10
00
01
01
11
11
00
11
10
10
00
11
00
10
10
11
00
00
10
00
00
00
11
00
10
00
11
11
01
10
00
00
10
01
10
11
01
10
10
01
00
10
10
00
10
10
10
11
00
10
11
00
01
10
11
10
01
10
11
00
01
11
10
01
00
00
10
00
01
00
00
10
10
11
10
00
00
10
00
10
10
00
01
11
10
01
00
10
00
11
00
00
10
01
01
01
00
10
11
00
00
01
10
10
10
11
01
10
11
11
01
00
11
00
10
01
00
00
10
10
00
00
10
10
11
00
10
01
10
00
11
00
00
00
10
10
01
10
10
00
11
10
10
00
10
11
01
10
00
10
00
00
00
00
10
10
10
11
00
00
01
10
10
00
00
00
00
10
10
01
11
10
10
10
10
10
11
01
11
01
01
01
11
11
11
10
00
10
00
00
11
10
01
01
01
00
11
00
01
00
10
01
10
11
00
01
11
01
10
10
10
01
10
10
00
01
11
00
11
11
10
00
10
01
00
11
10
00
10
11
00
00
00
10
01
00
10
00
00
10
01
01
10
01
01
01
00
11
11
10
00
00
10
00
11
10
00
10
00
10
11
00
01
11
01
00
01
10
00
00
10
01
00
10
11
10
01
10
11
00
11
00
00
00
10
00
00
10
10
10
11
10
00
10
10
01
01
00
01
00
00
10
11
00
00
10
10
11
11
10
10
11
11
00
00
10
01
11
10
11
11
00
00
10
11
10
00
00
00
10
00
00
10
11
10
01
10
11
01
11
10
00
00
01
00
10
10
00
00
11
10
10
01
10
00
00
01
11
01
10
10
11
01
00
10
10
00
10
10
00
00
00
00
10
10
01
10
10
10
00
10
10
10
00
00
11
00
10
00
00
10
10
10
10
10
01
10
10
10
00
01
00
00
10
10
10
10
00
01
00
00
10
11
10
10
11
00
00
01
00
01
00
10
11
00
00
01
01
10
10
11
00
11
11
10
11
00
01
10
11
01
00
00
00
00
10
10
00
01
01
01
00
11
01
01
00
10
01
00
11
11
11
00
00
10
11
10
01
00
11
11
00
00
11
10
00
00
10
11
11
00
00
00
01
10
10
11
00
00
00
10
11
10
10
01
00
10
00
10
00
10
10
00
11
11
01
01
11
10
00
11
00
01
10
11
00
00
00
11
11
00
00
11
10
11
10
00
10
10
01
00
00
11
10
00
10
00
10
01
00
11
10
10
10
11
00
00
00
01
00
10
01
01
10
00
01
10
00
10
10
10
01
01
11
01
00
00
10
10
11
11
10
00
10
00
10
11
01
00
10
00
01
10
10
10
10
10
10
00
00
10
10
10
01
10
10
00
00
10
00
00
10
10
00
00
01
10
10
10
11
00
10
00
00
00
00
00
11
10
01
00
01
00
01
10
11
01
10
10
10
11
10
01
00
10
00
01
00
11
01
01
11
00
11
01
10
10
10
01
01
11
11
00
00
11
10
00
11
11
00
10
10
00
10
10
00
11
10
11
01
00
00
10
10
10
11
00
01
00
10
01
10
00
11
00
00
11
00
10
10
00
00
10
00
00
11
01
00
00
10
10
01
00
00
00
00
00
00
10
11
10
10
01
11
00
11
01
10
00
00
10
00
10
00
01
10
01
11
00
10
10
00
00
10
01
10
00
00
10
10
00
11
00
11
00
00
00
10
01
10
00
00
10
00
01
00
10
00
10
11
11
01
00
00
10
11
11
00
00
01
10
00
10
00
11
10
01
10
11
10
00
00
00
11
10
10
00
10
01
00
01
10
10
10
10
10
01
00
10
00
10
00
10
10
01
10
10
00
11
11
00
00
11
10
00
01
10
10
10
01
00
10
00
00
00
01
00
10
10
00
11
01
01
01
00
01
01
00
00
00
10
11
01
10
11
01
10
00
00
11
10
00
01
10
10
00
00
11
01
10
11
11
01
11
10
10
10
00
00
00
10
10
00
00
01
10
10
10
00
11
10
00
00
00
01
10
00
10
00
10
01
00
10
00
11
00
01
00
10
10
01
00
10
00
00
11
10
11
00
01
00
01
11
10
00
00
10
10
10
10
00
11
10
10
00
11
11
01
10
01
00
10
10
11
11
00
11
11
01
01
00
10
11
00
01
10
10
00
11
11
10
11
01
11
00
01
10
00
10
01
10
11
01
10
00
00
10
10
10
01
00
00
00
00
10
11
00
00
10
00
10
00
01
10
00
00
11
00
10
01
01
00
11
00
00
00
00
11
10
10
00
01
00
01
01
11
01
00
11
01
11
10
10
01
01
00
10
10
01
01
10
00
10
01
00
11
00
11
10
01
10
10
10
01
00
01
10
10
00
00
00
10
10
00
10
10
00
10
11
00
01
10
10
00
01
10
11
00
11
10
10
10
00
01
00
10
10
01
10
01
00
11
00
10
00
10
01
00
00
10
11
00
00
00
11
10
11
10
00
00
01
00
01
00
00
10
10
00
10
00
10
11
11
01
00
00
01
00
10
01
10
10
10
00
00
00
00
10
00
00
10
10
00
10
10
10
11
00
01
10
01
10
10
00
01
01
11
11
11
01
11
10
01
01
11
00
00
10
10
01
00
10
00
10
10
11
10
10
10
10
01
01
11
01
11
10
00
11
00
00
00
10
10
00
10
10
00
01
00
00
10
01
00
10
01
00
01
10
10
10
10
10
10
11
00
11
10
01
10
00
11
00
00
10
11
00
10
10
00
00
01
00
11
10
10
01
11
11
00
00
10
00
00
00
00
10
00
00
00
01
00
00
01
11
00
10
00
11
10
00
10
10
00
10
00
00
00
01
10
10
00
10
00
00
00
00
11
11
01
01
10
10
00
00
11
01
10
10
11
11
00
10
00
11
01
10
10
00
00
10
10
01
01
11
00
00
10
00
10
01
00
10
10
11
01
00
10
00
01
00
10
11
01
11
01
10
10
11
01
01
11
11
11
10
00
01
10
00
00
10
00
00
00
11
10
00
10
10
11
10
01
00
10
11
01
10
10
10
01
10
11
00
10
00
11
00
01
11
00
10
10
11
10
01
00
10
00
00
10
11
10
00
01
10
10
01
01
11
00
01
11
00
00
00
00
10
10
00
00
00
10
10
10
10
10
00
11
10
00
11
01
10
10
00
00
01
10
01
01
01
00
01
00
10
00
00
10
10
10
00
10
10
01
10
00
11
01
01
00
00
10
01
00
11
11
00
00
10
10
10
11
11
10
00
00
00
11
10
01
00
11
11
10
10
00
10
10
00
00
11
11
00
00
00
11
00
10
10
00
10
00
01
11
11
00
00
11
10
01
10
00
00
10
00
10
11
00
11
01
11
10
00
10
00
10
11
01
11
01
00
01
10
00
10
01
00
10
00
11
01
01
10
10
00
11
10
00
01
10
10
01
10
00
10
01
01
00
10
10
00
00
10
11
01
10
10
01
01
01
00
00
10
10
10
00
11
10
10
00
01
00
01
00
01
10
10
00
01
10
11
10
01
11
10
00
10
10
01
10
11
10
00
01
10
01
00
00
10
00
10
00
10
11
10
11
11
10
11
10
11
00
10
10
01
10
01
00
11
01
11
11
01
00
01
11
00
11
10
10
00
10
10
01
10
10
00
10
11
01
10
10
11
00
00
10
11
01
00
10
00
10
10
10
10
01
00
10
10
11
10
10
01
11
00
00
10
00
10
10
10
00
01
01
00
11
00
10
10
10
10
01
10
01
10
01
11
10
10
10
01
00
11
00
10
10
10
10
00
11
10
00
10
00
00
00
00
11
11
00
11
00
10
01
01
00
00
10
00
10
10
10
10
00
01
10
10
00
00
10
10
01
10
11
10
10
00
10
11
00
01
10
00
10
00
01
01
00
10
10
01
10
00
10
10
00
00
00
00
10
00
10
11
11
10
01
10
10
10
11
01
10
10
10
00
00
00
10
01
10
11
11
00
00
00
00
00
01
11
10
10
11
00
00
01
11
10
00
00
00
10
00
00
10
00
11
11
00
10
00
00
10
11
10
10
00
00
11
10
01
10
10
10
01
00
11
10
10
01
00
01
10
11
11
10
01
00
11
10
10
10
00
01
10
10
00
10
10
01
11
00
10
10
00
10
10
01
11
01
00
00
10
00
00
00
01
10
00
01
10
10
10
11
00
10
01
10
00
01
00
11
01
10
01
00
10
01
00
10
00
00
10
01
01
00
00
00
10
00
10
10
10
10
01
00
11
10
10
10
00
10
00
10
10
01
10
11
10
00
10
01
11
11
10
11
10
10
10
00
10
00
00
11
00
10
00
01
00
10
00
10
11
10
11
01
10
10
00
10
10
00
01
10
00
01
10
10
01
10
01
11
01
10
10
11
11
01
01
01
00
00
00
10
00
00
10
10
00
10
11
10
01
00
01
10
01
00
01
10
10
01
11
01
00
00
00
01
10
11
00
00
00
10
11
11
10
01
10
00
00
10
11
10
10
10
10
01
00
00
01
00
00
01
10
01
10
10
10
00
00
10
10
01
00
11
10
10
00
10
00
00
11
10
11
00
10
00
01
00
10
10
01
00
10
00
00
10
10
11
01
00
10
10
10
10
11
00
00
01
00
11
10
00
10
10
01
01
11
00
10
10
01
01
00
11
10
01
00
01
00
00
01
11
11
00
01
10
00
11
10
00
10
00
00
10
10
01
10
11
01
10
10
01
10
00
10
10
01
00
10
11
10
00
10
00
00
10
10
10
11
10
00
00
00
11
01
00
10
11
00
00
00
10
11
00
00
10
01
00
00
00
10
10
00
11
11
10
01
00
10
00
11
10
00
00
01
11
10
00
10
00
00
00
01
10
00
00
10
10
01
01
10
11
11
00
11
01
00
00
10
00
01
11
11
10
10
10
10
10
01
11
11
10
11
00
00
00
00
00
00
10
11
00
00
10
00
10
10
00
10
10
10
11
11
10
10
01
10
01
10
01
01
00
00
11
00
11
10
11
11
00
01
10
10
01
00
11
10
11
01
11
10
10
00
00
00
00
11
10
10
10
11
10
11
01
11
01
11
00
00
01
11
11
11
00
01
10
10
01
11
10
00
00
10
10
00
01
10
10
10
01
01
01
01
10
10
00
00
00
01
11
11
00
10
00
11
01
01
10
00
00
11
10
00
01
10
10
11
11
10
00
10
10
10
00
00
11
00
00
10
10
01
01
00
10
00
10
10
10
01
11
10
11
11
01
10
10
10
00
10
00
01
10
10
01
10
00
00
11
00
10
00
00
01
10
10
11
10
00
11
00
10
11
01
00
00
00
00
10
11
01
00
10
10
11
10
00
01
10
10
00
11
00
10
11
01
10
00
00
00
10
00
00
10
10
10
00
10
00
01
10
00
10
00
11
00
00
10
01
00
11
11
10
11
01
10
00
00
10
10
01
01
01
00
10
01
00
00
11
11
01
01
00
10
10
00
10
00
01
11
00
01
10
10
10
10
00
00
10
10
11
10
00
11
00
11
10
01
10
11
11
11
01
00
00
10
01
10
00
00
11
11
01
01
01
00
10
01
10
00
11
01
00
10
00
10
10
01
01
11
00
00
10
10
10
00
00
11
11
00
10
11
01
11
10
01
11
01
10
01
01
10
11
01
10
10
01
00
00
11
01
10
11
11
10
00
01
00
00
01
10
10
10
00
00
00
10
10
00
00
00
01
01
11
10
11
00
01
00
00
11
00
10
00
00
10
11
11
01
10
00
00
00
10
00
00
10
10
01
10
11
10
11
10
10
00
11
00
00
00
01
11
00
11
11
11
00
11
10
11
10
00
00
10
00
00
00
00
00
10
00
10
11
00
10
00
00
01
10
01
01
10
10
10
11
00
10
10
10
00
10
10
11
01
00
01
00
10
00
01
11
10
11
00
01
10
11
00
01
01
10
10
01
10
11
11
10
11
00
01
10
01
10
11
10
00
00
10
00
01
10
10
01
00
00
11
10
10
01
10
10
10
00
00
10
01
01
11
01
11
01
11
10
10
10
00
01
10
10
10
00
00
10
01
00
10
00
00
00
00
10
11
00
10
00
01
10
00
11
10
10
00
00
11
10
01
11
00
01
10
00
01
10
11
11
00
01
10
00
10
10
00
11
10
00
11
00
01
00
11
01
10
01
01
10
10
11
10
11
00
00
10
11
10
01
00
10
00
00
00
10
00
00
10
00
01
11
01
10
01
10
10
00
11
10
00
10
10
10
00
10
01
00
10
10
10
11
00
00
00
11
10
01
00
00
11
00
10
00
10
10
00
11
01
10
00
10
10
10
10
00
10
11
00
11
10
00
01
01
10
11
01
11
10
00
01
00
10
00
10
10
10
10
00
01
01
00
11
00
11
00
01
10
10
00
10
01
00
10
00
11
10
00
00
10
00
10
00
10
10
00
00
10
11
10
00
10
10
01
01
00
00
00
10
01
00
00
11
10
10
00
01
11
00
00
11
00
00
11
10
01
00
11
00
00
10
11
00
11
10
01
00
00
10
10
00
11
11
00
10
10
01
11
00
11
11
10
11
00
11
11
10
01
01
01
11
00
00
11
10
10
11
01
01
10
10
10
00
11
11
01
01
10
11
00
00
10
10
01
00
01
10
00
11
10
11
11
10
01
00
11
01
00
11
10
01
10
11
00
00
10
01
10
10
00
11
01
10
10
00
11
00
01
01
10
11
01
10
00
11
10
00
01
10
00
00
10
00
01
10
11
10
00
01
10
11
00
00
10
10
10
11
11
01
10
00
00
10
00
11
11
01
00
10
00
11
01
00
01
10
10
10
00
00
10
00
01
10
11
00
10
10
10
10
01
11
01
00
00
00
01
11
10
00
00
00
10
00
00
11
01
10
10
11
01
01
11
00
11
10
01
00
00
11
10
11
00
01
11
11
00
01
11
10
01
00
01
10
00
00
10
11
00
00
10
00
10
00
00
11
11
00
01
00
10
10
11
00
00
01
10
01
10
11
10
11
00
00
11
10
11
10
01
00
10
10
11
11
00
10
00
00
00
10
10
00
00
10
01
00
01
10
11
10
00
10
00
10
11
00
00
10
00
00
10
10
10
10
00
00
10
11
10
01
00
00
10
10
00
00
00
11
00
00
00
11
01
10
10
11
10
11
10
01
01
11
00
00
10
10
00
01
10
11
00
00
10
11
01
01
00
11
00
00
00
00
00
10
10
00
10
10
00
01
00
10
10
00
00
01
10
10
10
10
01
01
10
00
00
10
01
01
10
10
01
00
10
10
00
00
00
10
01
10
10
11
00
00
00
00
10
00
11
11
11
00
00
00
00
10
00
00
00
10
00
01
11
10
00
11
00
01
10
10
11
00
00
10
10
01
00
00
00
11
10
10
01
00
10
10
00
01
11
11
10
10
10
01
11
10
00
00
00
00
10
01
10
10
00
01
10
10
00
11
00
10
10
00
11
10
00
10
00
01
11
00
10
01
00
01
00
10
10
00
10
11
10
00
00
10
10
11
11
10
00
10
10
11
10
01
01
00
00
10
00
00
00
11
11
10
00
00
00
00
10
00
01
01
00
10
01
10
10
00
00
11
10
01
10
10
00
10
11
10
00
00
10
01
11
00
10
10
10
11
11
11
11
01
00
00
10
01
00
10
10
01
11
10
11
01
01
10
01
01
11
01
00
10
10
01
00
10
11
00
10
00
11
11
00
10
01
10
01
00
10
11
10
00
01
10
11
01
01
10
01
10
10
11
00
00
10
00
00
00
00
00
00
00
00
01
00
00
00
01
11
11
00
11
10
01
10
11
01
00
10
10
10
00
00
10
01
01
11
00
10
10
10
01
00
10
10
11
11
11
10
00
10
10
10
10
00
01
10
10
11
10
11
10
00
11
10
00
11
00
01
00
10
10
01
00
11
00
01
10
11
10
00
01
10
00
00
11
11
10
00
00
10
11
11
01
00
10
10
00
00
10
00
10
11
11
11
10
00
10
00
01
10
10
01
00
10
01
10
01
01
10
00
01
10
10
10
00
00
11
10
01
10
01
00
00
11
10
00
00
10
10
10
10
01
00
00
01
10
00
00
10
00
11
00
11
01
00
10
11
10
00
00
10
10
01
00
11
00
10
00
00
00
01
00
10
00
00
00
01
01
01
10
11
00
01
00
10
10
00
00
10
11
01
10
11
10
10
10
01
01
11
10
10
11
00
11
00
00
10
10
00
00
00
10
00
01
01
11
10
00
11
10
11
00
00
11
10
01
01
00
11
10
01
11
10
11
11
11
00
10
00
00
01
11
10
01
00
10
10
11
10
00
11
00
11
01
01
10
00
00
10
11
00
10
11
00
11
00
00
10
01
01
01
10
10
00
10
10
01
00
10
10
10
01
10
00
00
11
10
10
00
01
10
00
10
11
00
00
00
10
01
10
10
00
11
11
00
11
10
01
01
00
10
10
01
00
10
10
00
01
11
00
10
00
01
11
10
01
00
00
11
10
00
10
11
10
01
10
10
11
00
00
01
00
10
00
10
10
11
01
01
11
11
11
10
00
11
00
00
11
11
00
00
10
00
10
10
00
11
10
10
00
11
11
01
00
11
10
10
00
00
11
11
00
10
00
00
10
11
11
01
11
10
10
00
10
10
01
00
11
01
10
11
10
10
00
00
10
10
11
00
00
00
10
11
10
00
10
00
10
10
00
11
10
00
10
01
00
11
00
10
10
00
01
10
00
01
10
00
10
10
01
11
11
01
00
00
10
10
00
01
10
10
10
00
01
00
10
10
10
01
10
00
00
01
10
10
01
00
00
01
00
10
00
00
10
11
00
00
00
00
10
00
00
10
01
10
10
00
10
01
00
00
10
10
01
01
10
11
00
01
10
00
00
10
00
00
10
01
00
00
10
10
11
10
01
11
10
00
01
10
10
00
00
00
11
01
10
11
11
10
01
11
01
10
01
11
00
11
11
00
00
10
10
11
11
00
10
10
10
10
00
10
10
10
01
00
10
00
10
11
11
01
01
10
10
11
01
01
00
10
10
11
11
00
00
00
10
00
11
00
01
11
00
11
00
10
10
00
01
10
10
00
01
10
11
00
00
10
01
10
11
00
01
10
10
10
10
10
10
01
00
00
00
10
11
10
00
00
00
10
00
00
10
11
01
11
11
11
01
11
00
00
10
10
00
00
00
10
10
11
10
00
00
10
10
00
11
00
00
00
00
01
10
00
11
01
01
00
00
10
10
01
01
11
11
01
00
11
10
10
00
00
11
10
00
00
00
10
01
10
11
10
01
10
01
00
01
01
11
10
01
10
01
10
11
10
10
01
00
01
11
10
00
10
00
00
00
10
00
10
11
11
00
00
00
11
00
00
00
00
00
10
00
10
00
10
10
01
10
10
10
00
10
10
10
01
11
00
10
00
00
01
01
10
11
00
11
11
10
01
10
10
00
00
00
00
00
11
01
00
00
00
01
00
00
00
10
10
00
10
01
00
11
10
10
00
10
11
01
00
10
10
00
10
10
00
11
10
01
00
11
10
11
00
11
10
01
00
11
10
11
00
00
00
00
11
10
00
00
01
10
01
00
01
10
10
00
11
10
11
11
00
11
11
11
00
00
11
10
10
11
01
00
00
01
00
00
00
10
10
10
11
01
01
11
01
00
10
00
00
00
00
11
10
00
00
01
10
01
00
10
00
01
00
10
11
10
11
10
10
00
00
10
10
00
01
00
11
10
11
00
10
01
00
10
01
00
10
00
10
10
11
10
01
00
10
10
01
10
10
00
00
11
11
01
11
11
00
00
00
10
01
11
10
10
01
00
11
00
00
11
11
01
01
00
11
00
11
10
10
10
00
00
11
10
00
00
00
00
00
00
11
10
00
11
11
10
11
00
11
10
11
00
00
10
10
10
00
01
10
10
10
11
10
11
10
01
10
00
01
10
11
01
01
00
10
11
11
11
00
01
10
11
10
00
00
10
10
00
10
11
00
00
01
00
01
10
10
10
00
11
10
00
00
10
00
10
00
00
00
00
00
10
11
10
01
10
10
00
00
00
10
00
01
10
10
00
00
01
10
11
00
10
01
01
10
01
01
11
10
01
11
11
01
01
01
01
10
10
00
10
10
11
10
00
00
00
00
01
01
10
00
10
10
00
01
10
01
01
10
00
00
11
11
10
01
00
00
00
10
10
10
10
00
10
10
11
10
00
10
10
10
00
01
00
00
00
10
00
00
01
10
11
00
11
00
01
11
10
11
00
01
10
00
01
10
01
01
11
10
01
01
10
11
00
11
01
10
10
01
10
10
01
01
11
01
00
10
10
00
10
00
00
11
10
10
00
00
11
00
10
10
01
11
00
01
00
01
00
11
00
10
10
00
00
10
00
01
11
10
00
10
10
11
01
00
10
01
00
01
11
00
10
10
00
11
01
00
10
00
00
01
10
00
00
00
10
10
01
10
10
10
00
00
00
01
10
10
00
00
00
00
11
00
10
11
11
00
10
01
00
10
10
11
00
00
10
00
11
00
00
10
10
10
00
11
00
10
00
00
10
00
00
00
00
10
00
11
10
01
01
00
01
10
01
10
10
10
01
11
11
00
00
01
10
10
10
00
00
11
00
11
11
11
11
00
11
01
10
10
11
00
10
01
00
10
00
00
00
01
10
11
10
00
01
11
10
10
10
00
00
00
11
00
10
10
00
10
10
00
00
00
00
01
10
10
01
10
10
10
00
10
00
00
10
00
10
10
10
10
01
00
01
10
00
00
10
10
10
11
00
10
00
01
00
10
00
01
01
11
11
00
11
00
00
10
11
01
01
00
10
01
10
00
11
11
00
10
11
00
00
01
10
00
00
10
01
10
00
10
10
00
11
11
11
01
00
00
00
10
11
10
00
01
11
11
00
00
11
10
10
10
00
10
11
00
10
01
01
00
00
10
11
00
11
00
00
10
10
10
00
10
10
11
01
10
01
10
10
01
10
00
11
01
00
01
00
01
11
10
10
10
11
00
00
10
10
00
00
11
00
11
11
11
10
01
10
10
00
00
10
01
00
10
01
01
01
00
01
10
11
01
00
00
10
11
00
10
10
11
10
00
11
11
00
10
11
10
00
10
11
01
10
00
00
00
10
00
11
01
00
10
11
00
01
10
11
00
10
11
11
00
00
00
11
10
00
00
00
00
10
01
10
10
00
00
01
10
11
00
00
01
01
11
00
11
10
00
00
11
10
11
00
01
01
10
11
11
11
10
10
01
00
10
10
01
00
00
01
11
01
10
00
11
10
01
00
10
10
00
10
11
10
11
01
10
00
11
10
00
11
10
10
01
01
00
00
10
00
11
00
11
11
00
01
10
00
10
11
11
11
10
00
10
10
00
00
00
10
01
10
00
10
10
01
00
00
00
01
10
10
10
01
11
11
10
10
10
01
10
00
10
10
00
01
10
00
01
00
00
11
10
01
01
00
10
00
00
00
11
10
10
10
00
11
10
11
00
10
00
10
11
00
01
10
00
00
10
00
10
00
11
10
11
00
00
00
00
00
01
10
00
01
10
01
10
01
10
00
10
10
10
01
11
00
00
11
10
11
10
00
00
01
00
10
00
00
11
10
00
10
10
01
10
10
00
00
00
11
00
10
00
00
10
10
00
11
11
00
10
10
10
10
10
00
00
10
11
10
11
00
10
00
00
00
10
00
01
10
10
00
10
00
01
10
01
11
10
10
00
11
00
00
10
10
11
01
01
10
01
11
11
00
01
10
01
00
10
10
00
10
10
10
00
00
00
11
10
10
11
00
11
10
10
00
11
11
01
01
11
10
10
00
00
01
00
11
11
10
00
00
11
01
11
01
00
10
01
11
00
00
10
10
10
10
00
00
10
10
10
10
10
01
00
10
00
00
01
10
11
00
00
10
11
10
01
10
10
10
01
10
00
10
10
10
01
10
10
10
00
11
00
11
11
00
11
10
00
00
10
11
10
11
01
11
11
01
11
11
00
00
10
10
01
01
10
11
00
00
11
01
01
01
11
11
00
00
10
11
11
11
01
01
10
10
10
01
01
11
10
00
01
00
01
11
11
00
00
00
10
11
10
00
00
11
10
01
00
11
10
00
01
11
00
00
11
10
00
01
10
01
01
10
01
00
10
10
00
10
01
01
00
00
01
11
11
11
10
00
01
00
10
10
00
01
10
10
00
01
01
01
10
10
00
00
10
10
10
01
00
00
11
00
10
11
11
10
00
00
00
01
11
00
11
10
10
10
01
00
10
10
01
10
00
00
00
01
10
11
11
11
00
10
10
00
00
10
01
00
10
00
10
10
00
11
10
00
10
00
10
00
00
10
01
00
11
00
00
00
00
10
10
11
00
00
10
00
10
00
00
00
00
10
10
11
11
00
00
01
11
00
10
00
00
11
10
01
10
10
00
10
00
11
11
01
00
01
11
10
11
01
11
11
01
01
01
10
00
11
10
10
10
00
00
01
00
10
00
00
00
00
01
11
00
00
01
11
00
00
00
10
10
10
10
01
01
01
10
10
10
10
01
00
11
00
01
00
00
01
10
10
00
11
11
10
00
01
10
10
00
10
00
00
10
10
11
00
00
01
11
01
00
10
00
00
01
10
10
01
01
10
00
10
00
00
10
01
10
00
10
00
10
00
00
11
11
00
10
01
11
10
00
10
10
10
11
01
00
10
11
10
00
10
11
00
11
10
00
01
10
10
01
00
00
01
00
10
11
11
10
01
10
01
00
11
10
00
10
00
10
10
11
11
10
11
00
01
10
11
01
00
10
10
01
00
00
11
10
00
10
00
00
11
10
01
01
01
10
10
11
00
00
11
11
00
10
00
00
11
10
11
11
00
10
10
10
00
00
00
10
10
00
00
01
10
10
11
11
10
11
00
10
01
00
01
10
10
01
10
11
11
10
10
10
10
00
00
10
01
00
10
10
10
11
00
00
10
00
10
10
10
00
10
11
01
10
01
00
11
11
01
01
10
11
01
00
00
01
00
10
00
11
11
11
01
00
00
11
01
10
10
00
00
11
10
00
10
00
00
11
11
01
00
10
00
11
10
11
00
01
11
00
11
00
00
00
10
11
10
10
00
10
10
01
10
00
10
01
00
00
10
00
10
10
10
10
10
01
00
10
00
10
10
00
00
01
10
00
10
10
10
01
01
00
11
10
01
10
10
00
00
11
11
00
11
10
10
00
10
11
00
01
01
10
10
11
01
11
10
10
00
00
10
01
00
10
10
01
11
10
11
00
00
10
00
01
01
01
01
10
10
00
00
10
00
11
00
01
00
10
10
00
01
00
10
10
11
10
10
10
00
10
11
10
11
10
00
00
10
00
01
00
10
10
01
00
00
10
11
00
00
10
10
10
10
00
00
11
11
10
01
10
00
10
10
01
00
01
10
10
10
00
01
00
11
11
10
10
01
00
10
00
01
01
11
01
10
11
11
10
00
11
01
01
10
11
10
01
10
00
00
10
10
11
10
00
00
00
00
11
10
00
11
10
10
00
00
00
01
10
00
01
10
00
11
10
10
00
11
10
10
10
01
00
10
01
11
01
00
10
10
10
01
00
01
10
00
01
10
10
10
11
01
00
10
00
00
01
01
00
01
11
10
01
11
11
11
01
00
01
00
10
10
11
10
00
01
00
10
00
11
00
10
00
00
00
10
00
10
11
00
10
11
10
10
10
00
10
10
00
00
11
10
11
10
00
10
01
00
10
10
00
00
11
00
00
00
00
00
00
00
10
11
11
10
10
00
10
00
00
00
10
10
01
00
10
01
00
10
10
01
10
11
11
11
10
00
10
10
10
10
01
01
00
00
00
00
00
10
10
00
00
01
01
00
01
10
00
01
10
10
00
10
11
11
10
01
11
11
00
10
00
10
00
00
00
10
01
11
10
11
00
00
01
00
11
01
10
10
10
10
00
10
10
00
00
11
10
00
10
01
11
11
00
00
10
01
00
11
10
10
10
10
01
01
11
10
11
00
10
10
11
10
00
00
01
00
10
10
01
11
10
00
01
01
10
00
10
01
11
01
00
10
10
00
00
00
11
11
00
11
00
10
10
11
00
01
01
11
11
11
00
01
11
11
00
11
10
01
01
00
10
10
00
00
01
01
11
10
00
01
00
00
01
11
10
10
10
01
00
00
10
10
10
01
10
11
11
00
00
10
00
00
00
01
10
10
01
00
00
00
11
10
00
00
10
01
01
01
00
10
10
00
11
10
10
00
01
01
11
01
00
10
11
10
01
11
10
00
01
10
00
11
10
01
10
10
10
01
00
10
10
11
10
10
00
10
00
01
10
00
01
00
00
00
11
00
00
00
01
00
11
00
00
01
00
10
10
00
00
00
11
10
10
00
11
00
00
10
01
00
01
10
10
11
10
00
00
01
00
10
01
00
00
11
00
10
00
10
01
01
00
00
11
01
01
01
00
10
01
00
01
11
00
11
10
00
11
11
00
00
00
00
11
00
00
11
00
01
00
10
11
00
00
01
10
10
10
10
01
10
00
10
10
11
10
00
00
00
10
00
00
10
10
10
11
01
00
01
00
10
00
01
10
10
11
11
11
00
00
00
00
10
10
00
00
11
10
01
11
00
00
11
10
11
11
00
10
01
00
00
10
10
00
10
11
00
01
10
11
00
01
01
10
00
01
00
10
00
10
11
10
00
00
10
01
10
01
01
00
10
10
11
00
00
11
01
00
10
10
10
10
11
01
00
10
01
10
01
00
00
10
10
00
01
10
10
11
00
11
00
11
10
10
11
10
00
00
00
10
00
00
00
10
00
11
10
01
01
10
01
10
10
00
01
00
00
00
10
11
10
01
01
10
10
11
00
10
10
01
10
10
10
01
10
10
10
00
10
00
11
10
10
11
00
00
11
10
01
01
11
00
01
00
10
10
01
10
10
01
00
00
01
00
01
10
10
10
10
10
01
01
10
00
00
11
10
00
00
00
00
10
01
01
11
11
01
10
10
00
00
10
10
00
00
01
10
00
01
00
00
10
10
10
01
00
10
00
00
00
11
00
00
11
11
10
01
01
01
10
11
11
00
00
10
10
01
01
10
11
00
00
11
10
00
10
10
11
00
10
11
00
10
01
00
00
10
10
10
10
10
11
10
00
01
10
10
00
00
00
11
10
11
01
00
10
11
11
01
10
11
10
00
10
11
00
01
10
11
10
10
00
00
11
10
10
00
10
01
10
01
00
10
10
11
11
10
01
00
11
10
10
11
00
00
10
00
00
00
10
10
10
10
00
01
10
10
10
00
00
00
11
11
10
00
10
00
00
00
10
11
00
10
10
10
10
11
10
01
01
10
01
00
01
10
11
01
10
11
00
11
00
00
11
10
00
00
11
10
00
10
10
00
10
11
00
11
01
01
10
01
10
00
11
10
10
00
00
11
11
00
00
10
10
11
00
10
00
00
10
10
10
01
00
01
10
00
00
10
10
10
11
00
00
11
00
01
00
10
10
00
00
00
10
00
01
10
10
10
10
10
10
10
00
10
01
11
10
00
01
10
00
00
11
11
00
01
10
10
10
00
00
00
10
10
11
10
11
10
01
10
11
00
00
00
10
11
10
01
01
10
00
11
10
11
01
00
00
00
11
00
10
10
00
00
10
10
00
00
10
00
10
00
11
11
10
01
00
01
10
11
00
01
00
11
00
10
10
00
11
10
10
00
00
10
01
00
00
10
11
11
01
01
10
00
10
10
00
00
11
10
00
00
11
00
01
10
11
10
01
10
01
00
00
00
10
00
10
01
01
00
10
10
00
10
10
01
00
11
00
11
01
10
10
00
00
11
00
00
00
10
00
11
00
00
10
10
00
11
01
10
00
10
11
00
00
00
11
10
00
00
00
01
00
10
00
10
10
10
00
00
11
11
11
10
10
11
00
11
10
01
00
10
10
00
10
10
10
01
01
11
10
10
00
01
00
10
10
00
00
11
01
00
00
01
01
11
11
01
00
01
00
10
10
00
00
10
00
10
00
00
10
00
01
11
01
10
01
01
01
00
10
10
11
10
00
10
11
11
00
00
00
01
11
10
11
01
00
11
01
00
10
11
00
10
00
01
10
10
11
11
01
01
00
11
10
00
00
01
10
10
01
01
00
11
01
10
00
00
11
10
00
00
00
11
11
10
00
01
10
00
00
11
00
00
10
00
11
10
00
11
11
00
01
01
10
10
01
01
10
11
00
00
11
00
00
11
11
01
00
11
00
00
10
10
10
00
00
10
11
00
10
10
01
00
01
00
10
01
10
11
00
10
11
00
10
10
11
00
00
01
00
01
10
00
10
10
00
11
00
01
00
10
10
10
00
00
10
10
00
10
01
11
00
10
10
10
00
00
00
10
00
10
11
00
00
00
00
01
10
00
10
11
10
00
00
10
00
00
10
11
00
01
01
00
10
10
10
10
00
00
10
10
00
11
00
00
10
10
00
11
10
00
01
00
10
10
00
01
11
10
10
11
10
01
00
10
01
00
10
00
00
10
10
00
10
10
01
00
11
10
01
10
00
00
11
00
01
10
11
00
00
11
10
10
10
00
00
10
10
11
00
01
01
00
00
01
10
10
11
00
10
11
11
00
10
10
00
00
10
10
01
10
10
10
10
11
10
11
01
00
11
01
10
10
01
11
11
10
01
00
11
10
01
00
10
11
00
00
10
01
00
00
11
00
11
00
10
00
10
11
00
01
11
00
11
10
00
00
10
10
01
01
10
10
10
10
10
11
00
00
10
00
10
10
01
01
00
10
10
10
00
10
01
00
10
10
11
00
01
00
10
00
11
10
00
11
00
01
00
10
00
11
00
01
11
10
11
11
11
01
01
10
10
01
00
00
10
01
00
11
10
10
10
10
01
10
10
00
11
00
10
10
00
00
10
01
10
00
10
11
11
10
10
00
10
01
01
11
11
11
10
00
01
10
11
00
01
10
10
10
01
00
10
11
00
00
00
10
11
11
10
00
11
11
10
10
10
00
00
10
01
10
00
00
00
00
10
00
10
01
10
00
00
00
10
10
01
11
10
10
11
10
00
11
00
00
11
10
01
00
11
00
10
01
00
10
11
10
01
01
11
11
10
00
00
00
10
00
01
11
01
00
10
00
10
01
11
11
01
11
10
00
01
10
11
00
01
00
10
11
10
00
00
10
10
00
10
10
10
00
10
11
10
10
00
11
00
01
01
10
00
01
10
00
00
11
11
10
00
00
00
01
10
11
01
10
10
00
01
00
01
10
10
00
01
01
10
10
01
00
00
10
11
01
00
01
10
10
00
10
00
11
11
00
00
00
11
10
00
10
11
10
00
00
00
00
10
00
01
00
10
01
10
00
00
10
00
10
10
00
11
11
11
01
01
10
11
00
00
10
11
00
00
01
10
00
01
10
00
10
01
00
10
10
11
00
10
00
10
00
11
00
11
01
10
00
11
00
00
01
10
11
00
01
00
10
00
11
10
10
11
00
00
11
11
00
11
10
00
10
10
11
00
11
10
10
01
01
10
01
00
00
01
10
10
00
11
10
11
11
01
01
00
10
11
00
01
10
10
01
00
10
10
00
00
10
00
00
10
11
00
00
11
10
10
10
10
00
01
10
10
10
10
00
00
10
10
11
00
10
10
10
10
00
10
00
00
10
01
11
10
10
10
10
11
00
00
00
11
10
10
00
00
10
10
00
10
10
01
11
00
01
00
10
00
11
10
00
01
00
00
01
10
00
11
11
11
11
01
11
00
10
10
10
01
00
10
10
00
10
11
00
01
00
10
00
10
01
01
11
10
10
00
00
00
11
00
01
10
10
11
00
00
00
10
10
11
00
11
10
01
00
10
11
11
10
00
10
10
11
10
11
00
00
11
00
01
10
10
00
11
00
00
00
10
00
00
00
10
11
01
11
11
00
00
00
00
10
00
01
10
10
10
11
10
10
10
00
10
10
00
01
10
10
01
01
10
01
00
00
10
10
11
10
10
10
00
10
11
10
00
00
01
01
00
11
11
10
10
10
00
00
11
00
00
10
11
10
10
10
00
10
11
00
01
00
11
11
10
11
00
10
00
00
01
00
10
10
10
10
00
01
11
00
11
10
10
10
00
00
00
10
10
00
00
01
10
11
01
01
01
10
11
01
00
11
10
01
10
10
00
00
11
10
10
00
00
10
00
10
11
10
01
01
01
01
00
11
10
00
11
11
00
01
11
10
11
01
01
11
01
00
11
10
00
10
11
01
00
01
00
11
10
01
11
01
10
00
10
11
11
01
00
10
11
00
00
10
10
00
00
10
11
11
10
00
10
00
00
10
10
11
00
10
11
10
01
10
11
01
11
00
00
11
10
11
01
10
00
10
10
10
11
00
10
01
00
01
00
10
10
00
10
00
10
11
00
01
10
10
10
10
10
01
00
00
10
00
11
00
01
11
10
10
00
10
01
00
10
10
11
00
01
00
01
00
00
00
10
00
01
00
10
10
10
00
00
00
00
00
11
00
11
10
10
01
01
10
00
10
00
11
10
00
10
00
01
11
10
11
00
00
01
00
10
00
00
11
10
00
01
00
10
10
10
10
00
10
00
00
10
11
11
10
10
01
01
00
00
10
10
10
10
00
10
10
11
10
10
00
00
11
00
00
01
00
11
00
10
11
00
01
00
00
10
10
01
01
00
11
10
00
00
10
00
01
11
10
10
01
10
11
00
00
11
10
00
10
10
00
11
00
10
10
10
00
11
10
10
00
00
10
00
00
11
00
00
00
01
10
00
11
00
00
10
10
11
00
11
10
01
11
00
00
00
01
10
10
11
01
01
00
11
10
10
00
00
10
10
00
11
11
00
01
00
00
01
10
11
10
01
01
01
10
01
10
10
10
00
10
11
00
00
00
00
10
10
00
10
10
11
11
01
10
01
00
00
11
10
10
01
00
11
00
01
00
00
10
01
10
11
10
10
10
10
10
01
01
00
00
01
10
01
10
10
10
11
00
01
10
10
00
10
00
10
00
01
11
00
00
11
01
10
11
10
01
10
00
10
10
11
10
10
00
01
11
00
01
11
01
10
01
00
10
00
00
10
11
10
10
01
10
10
11
00
00
10
01
01
00
10
10
10
11
00
11
10
10
01
11
11
00
10
01
10
00
11
10
00
00
10
00
10
10
01
10
11
00
00
01
10
00
00
00
10
00
00
10
01
01
10
10
00
01
01
10
10
11
10
01
10
10
00
01
00
00
01
10
10
01
00
11
11
10
01
10
11
00
00
10
11
11
10
01
00
00
00
10
10
01
01
11
11
00
11
10
10
00
00
01
10
10
01
01
11
11
00
00
01
10
11
01
01
10
00
10
01
00
11
11
10
10
00
00
10
00
00
00
10
00
10
01
10
00
10
01
11
01
11
10
10
00
11
00
10
01
01
10
10
00
10
00
00
10
10
01
00
10
00
00
10
10
01
01
00
01
10
10
10
11
10
10
00
00
00
00
00
11
10
01
00
10
10
00
10
01
00
11
00
11
01
00
10
00
00
10
10
00
11
11
11
00
11
00
00
10
01
11
10
10
10
10
01
00
11
00
10
00
00
10
10
10
00
00
11
10
10
10
00
11
11
00
00
10
00
00
01
10
00
01
10
00
10
00
00
10
11
00
10
10
10
10
11
10
11
10
01
10
10
10
01
10
10
10
00
10
00
10
10
01
10
10
00
10
10
11
01
00
01
00
00
11
10
00
10
01
00
00
11
11
00
00
10
10
11
00
10
10
00
10
11
10
10
01
01
00
10
00
10
11
00
11
11
01
00
10
01
00
01
11
10
00
11
00
00
11
11
01
10
01
10
00
00
10
10
00
00
10
00
10
11
11
01
00
00
00
11
10
00
00
11
00
10
00
00
00
11
10
01
10
00
10
10
10
00
01
10
00
00
00
01
00
10
10
01
01
11
01
10
01
10
10
01
01
10
11
10
00
00
00
10
10
01
00
00
11
10
11
11
10
00
10
01
10
10
00
10
00
10
00
10
00
00
11
01
00
00
00
00
11
01
10
10
00
10
11
10
10
00
00
10
11
10
01
00
10
10
00
00
10
10
00
10
11
00
10
10
00
10
00
10
10
11
00
01
10
11
11
10
10
00
10
11
10
00
00
10
10
00
11
10
00
11
11
00
10
00
10
00
01
11
01
10
00
00
00
00
10
10
00
00
11
00
11
00
01
01
10
10
10
10
00
10
11
01
00
01
00
10
01
00
00
10
10
00
10
00
00
10
11
00
10
00
10
10
10
01
10
10
10
10
01
10
00
11
11
00
00
01
00
10
00
01
10
00
10
10
00
00
11
10
00
00
00
10
10
10
00
00
01
01
00
00
00
10
01
11
11
10
10
10
11
10
00
00
10
00
10
10
10
00
10
10
01
00
11
00
10
10
00
00
10
11
10
10
00
00
01
10
10
01
10
10
00
11
10
10
01
01
11
10
10
10
01
11
11
10
11
00
00
10
01
00
11
10
10
10
01
11
11
01
00
01
10
01
01
01
10
10
00
11
00
01
00
11
10
11
10
10
11
00
11
00
11
00
00
01
10
10
01
01
00
00
11
10
10
10
10
00
10
00
10
00
10
10
11
00
01
01
00
10
00
01
10
00
10
11
10
00
10
00
11
01
11
11
00
10
00
00
00
10
11
00
00
10
10
00
10
00
00
00
01
00
10
10
10
11
10
00
01
01
10
00
10
10
11
00
01
10
10
11
10
01
01
10
10
10
10
00
00
00
10
01
00
10
00
10
00
11
10
01
11
10
00
10
11
01
00
11
10
00
01
00
00
10
11
01
00
10
01
01
10
00
01
01
01
10
11
10
00
00
00
10
11
10
00
10
10
00
10
00
10
00
01
01
10
10
00
01
01
10
00
11
10
11
00
01
10
01
00
00
10
01
11
10
10
10
11
11
11
10
01
01
00
10
10
00
01
01
11
10
10
10
10
01
01
10
10
10
10
10
10
00
01
10
00
01
11
10
00
01
10
00
11
11
01
00
00
01
10
00
10
00
00
10
00
10
11
01
10
01
10
00
00
00
00
10
10
00
00
01
10
01
10
00
00
01
10
10
10
00
00
10
10
01
10
11
00
01
10
01
10
00
10
10
11
10
10
11
01
01
01
01
11
00
01
11
00
01
11
11
11
00
00
00
10
10
10
10
00
11
01
01
10
10
10
10
01
10
10
01
00
10
10
00
00
00
00
11
10
01
10
00
00
00
00
00
00
10
11
00
10
00
00
11
00
00
01
00
10
10
10
11
01
01
00
10
10
00
11
00
11
00
01
10
00
01
00
10
00
10
10
00
00
00
00
10
01
01
11
10
00
11
11
11
00
00
10
11
10
01
00
10
01
01
10
01
10
11
00
11
00
01
10
11
11
11
10
00
00
01
00
01
10
10
01
00
10
11
01
00
00
00
10
00
00
01
10
10
10
11
10
00
00
10
01
00
10
01
00
01
11
00
01
01
01
10
00
00
11
10
11
00
01
11
11
11
00
11
11
01
00
00
00
01
01
01
11
11
00
10
10
10
10
10
00
00
10
00
00
10
11
10
00
10
01
01
01
10
10
10
00
11
01
00
01
10
01
10
01
11
10
10
01
10
10
00
00
10
10
00
01
00
11
10
00
00
00
01
01
00
11
11
10
00
10
10
11
10
01
11
01
00
00
10
00
10
11
01
01
11
00
00
11
10
01
10
10
01
10
10
10
10
01
00
00
00
10
10
00
10
10
00
11
01
11
10
10
00
01
10
00
00
10
10
10
01
10
10
01
01
11
01
00
11
10
00
10
00
01
00
10
11
00
01
00
10
10
10
10
10
00
01
11
11
01
00
11
10
10
10
01
01
10
11
00
11
11
00
00
10
01
01
10
10
10
01
00
10
10
00
01
11
01
00
11
10
01
10
10
10
00
10
00
00
10
01
00
00
00
00
00
00
00
10
10
00
11
10
11
10
00
01
10
10
00
10
11
10
10
00
01
00
01
00
10
10
01
10
10
01
11
00
00
00
00
11
00
11
01
00
10
11
10
00
01
00
10
10
00
00
10
11
01
11
01
10
00
11
10
00
01
01
10
11
00
00
01
10
10
01
10
10
10
10
10
01
10
11
00
00
10
10
11
00
10
10
00
00
10
11
10
11
10
11
10
11
01
00
01
01
01
11
11
00
01
10
01
11
10
10
00
00
11
00
01
01
01
01
10
01
01
01
10
11
01
01
10
10
11
00
01
00
00
10
00
00
10
00
11
00
01
00
10
01
00
10
00
10
10
10
01
00
10
10
11
10
10
10
00
01
01
00
11
10
01
10
00
00
10
10
00
11
01
10
11
10
01
00
10
01
01
10
11
11
10
01
00
00
01
11
10
01
00
01
00
01
10
10
00
00
00
10
10
00
01
00
00
00
00
00
10
10
00
00
11
10
10
10
11
01
10
11
00
01
01
11
00
00
10
00
00
10
10
00
00
10
10
00
01
11
00
10
10
11
10
11
01
11
01
01
10
00
10
11
10
01
00
11
00
00
10
00
00
11
00
00
11
11
11
00
00
00
00
10
10
10
00
11
01
10
10
00
00
00
10
11
00
10
10
10
00
00
00
10
10
10
00
00
00
11
10
11
10
10
11
00
01
00
10
11
00
11
10
00
00
11
10
11
11
01
00
01
00
11
10
01
00
11
10
00
01
10
01
10
01
00
00
00
10
00
00
11
10
01
10
10
00
00
01
00
10
11
00
01
10
00
10
10
10
10
10
01
10
00
00
10
01
00
00
00
01
01
11
10
01
00
10
11
00
10
10
10
00
11
10
10
00
01
00
01
10
00
10
10
10
01
00
10
00
10
01
00
00
11
10
00
00
10
10
00
10
00
10
11
01
11
00
10
10
01
00
10
01
01
01
01
10
11
11
11
00
10
00
11
00
00
10
10
00
10
00
00
00
00
00
10
11
00
00
10
10
10
01
11
00
10
01
00
00
11
10
00
11
10
01
10
11
00
00
10
10
11
01
10
10
11
10
10
11
10
01
00
00
00
11
10
01
10
10
11
00
11
01
01
10
00
10
10
10
01
00
10
00
00
10
10
00
10
10
10
10
01
00
00
01
00
11
10
10
11
10
10
00
00
00
10
00
01
10
10
00
00
10
10
00
00
11
10
10
00
10
00
11
10
11
10
01
00
10
10
00
10
11
11
00
00
10
10
01
10
11
01
10
10
00
10
10
10
10
00
00
00
10
11
11
00
00
10
01
11
11
10
10
10
00
01
01
01
00
00
10
10
10
01
00
10
10
10
10
00
10
10
00
11
10
01
00
00
10
00
11
10
00
10
10
10
01
00
11
00
00
10
00
00
00
00
10
10
00
00
01
11
01
01
11
10
10
10
00
10
10
00
01
11
01
11
00
00
00
10
10
00
00
11
00
01
11
11
01
00
00
11
10
10
00
00
10
00
10
11
10
00
10
01
11
10
11
00
00
11
00
00
10
10
00
00
00
11
01
11
01
10
11
10
00
00
10
00
01
10
10
10
10
10
00
00
10
00
01
00
01
00
10
10
00
10
11
00
00
11
11
11
00
10
10
11
11
00
00
10
10
11
11
00
01
01
10
10
10
10
10
10
00
00
10
10
10
10
01
10
11
00
10
10
01
10
00
00
11
10
01
10
10
10
00
10
01
00
11
00
01
10
11
11
01
00
10
01
01
10
00
00
11
11
00
00
10
10
01
00
10
10
00
10
00
00
10
00
00
10
10
11
10
01
00
01
10
11
00
00
00
10
00
10
10
00
10
00
00
00
10
11
00
01
11
11
00
00
11
10
00
01
11
11
01
00
00
11
00
01
00
01
10
00
10
11
00
10
11
00
00
00
00
11
11
11
01
11
01
01
00
00
10
10
01
00
10
00
10
01
00
00
10
11
10
00
01
01
10
11
00
11
00
00
10
10
00
10
10
00
11
01
00
10
10
11
10
00
00
00
10
10
10
11
00
10
01
10
11
10
01
00
10
00
01
00
10
10
00
10
10
10
00
01
10
00
01
00
00
10
10
00
00
10
00
10
11
00
10
10
10
00
00
10
00
11
10
00
01
11
11
00
01
00
11
01
10
11
01
00
10
11
00
11
00
00
10
10
10
10
10
00
00
00
10
00
00
01
10
10
10
01
00
00
01
11
10
00
01
11
00
00
00
10
01
00
11
10
11
10
10
10
00
00
11
00
10
11
00
11
00
11
01
10
00
00
00
00
01
01
10
00
10
10
00
10
10
01
10
10
11
11
11
00
00
11
10
00
00
00
11
00
10
00
10
10
01
10
00
01
10
11
10
00
10
10
11
11
00
00
00
10
11
00
01
00
01
10
00
01
10
10
00
10
10
11
01
11
01
11
10
10
01
10
00
00
10
10
00
11
01
11
11
01
00
00
11
00
00
10
10
10
00
00
10
11
00
01
11
11
11
01
01
00
00
11
10
11
00
01
01
00
00
11
01
00
11
11
10
00
11
10
01
00
00
11
10
10
01
11
00
00
10
11
01
10
10
00
00
10
00
10
01
11
00
01
01
11
11
00
11
10
10
00
00
10
11
01
00
10
10
10
00
10
00
00
10
10
10
00
11
01
11
11
11
11
00
10
00
00
01
10
00
10
00
10
11
00
11
00
00
01
00
10
10
10
00
10
00
00
01
10
00
10
00
01
10
00
11
00
11
10
00
10
00
00
10
10
01
11
01
00
01
10
10
11
10
00
00
00
10
10
10
11
10
10
11
10
11
01
01
00
11
10
00
10
10
00
00
10
10
10
11
00
00
10
10
10
00
00
10
10
01
00
00
11
11
11
10
01
00
00
00
10
00
00
10
00
10
11
00
11
00
10
00
00
10
10
00
00
10
10
00
10
10
11
01
10
00
10
00
00
01
10
10
01
10
00
01
10
00
00
00
00
11
00
10
11
00
10
01
00
01
11
10
00
00
00
11
00
01
10
10
10
11
10
00
10
01
11
11
10
01
01
11
11
10
11
01
10
10
00
00
11
10
10
01
00
11
00
01
10
11
00
11
00
00
00
10
00
00
00
10
10
00
10
10
10
00
10
10
00
00
00
00
01
11
10
11
11
00
00
00
11
11
01
00
10
10
01
00
10
00
00
00
01
00
10
10
10
00
11
00
00
10
11
00
11
10
00
11
10
00
00
00
00
00
11
10
10
00
10
00
10
01
10
11
01
01
00
00
10
00
00
10
10
01
00
01
00
11
00
11
00
00
11
11
11
00
01
11
01
00
10
10
00
01
11
00
00
11
10
01
00
10
11
01
10
10
11
01
01
00
10
11
00
01
00
01
10
10
01
11
11
00
00
11
10
00
00
01
10
10
00
00
01
01
00
10
00
01
10
00
00
11
10
00
00
11
01
01
00
11
01
00
01
01
10
00
10
11
00
10
11
10
10
01
00
10
10
10
01
00
00
10
10
10
01
00
10
00
00
10
11
00
11
10
00
01
11
00
00
01
11
01
11
01
11
10
00
10
10
01
00
10
00
10
11
01
10
00
11
00
10
10
00
10
10
10
00
10
10
00
00
10
01
00
11
00
00
01
00
00
01
00
10
10
10
00
10
10
01
10
10
11
11
10
01
00
10
10
11
01
01
10
10
10
10
10
01
01
11
10
10
11
01
10
01
00
11
11
01
01
10
11
00
01
01
10
11
10
01
00
00
10
00
01
10
00
00
10
11
01
01
10
10
00
10
00
00
10
11
11
01
00
10
10
00
00
11
10
10
01
00
00
10
00
10
11
01
10
00
10
00
00
10
00
00
10
00
11
00
00
10
00
11
00
00
10
10
00
11
10
00
01
10
00
00
11
00
10
11
01
10
10
01
10
01
11
00
11
01
10
00
10
11
00
00
00
10
00
10
10
10
00
01
01
11
11
00
10
00
00
10
10
00
11
00
10
11
01
10
10
00
00
00
10
10
10
11
01
00
01
00
01
10
00
10
01
01
11
10
00
00
01
10
00
10
10
00
10
11
01
00
01
00
10
11
01
00
01
10
11
00
11
11
00
10
10
10
01
00
11
00
00
10
10
00
11
00
00
00
10
11
11
01
11
00
01
10
11
00
00
10
00
10
10
10
00
10
11
01
11
10
00
00
10
10
01
00
10
10
00
01
11
00
01
11
00
00
11
10
01
11
10
10
10
10
00
10
10
00
00
00
10
01
01
10
11
01
00
01
00
10
00
01
10
11
01
10
10
11
01
10
00
01
00
10
00
01
10
01
10
10
10
11
00
00
00
10
10
00
01
10
10
10
10
11
11
10
10
10
10
00
01
00
01
11
11
00
01
10
11
10
00
00
11
00
00
00
10
11
11
11
10
00
10
10
00
00
11
00
10
11
00
01
11
00
00
11
01
10
00
00
00
00
11
11
00
00
10
01
11
11
00
10
11
00
00
00
10
00
00
00
10
10
11
00
00
01
01
01
10
10
00
00
11
10
01
01
11
11
00
10
10
10
00
11
00
11
01
01
00
10
00
11
11
10
10
00
10
00
10
10
01
11
00
11
00
10
10
11
10
00
00
01
10
11
10
10
01
11
01
00
10
10
11
11
00
00
11
10
01
11
00
10
10
10
11
11
00
01
00
00
11
10
01
10
10
10
00
11
10
01
00
11
01
00
10
10
00
00
10
01
01
01
10
11
01
00
11
10
01
00
01
11
01
10
10
10
10
11
00
00
10
00
00
10
10
00
10
10
00
11
11
11
00
00
00
11
00
00
01
01
01
11
10
10
00
10
10
10
00
00
10
11
01
01
00
11
10
00
11
00
00
10
11
10
00
11
10
11
00
11
11
00
00
00
01
00
10
10
10
01
00
00
01
10
10
00
11
10
01
11
10
10
00
10
10
10
00
00
10
10
10
10
00
00
00
10
10
10
00
10
00
00
10
00
10
00
10
01
10
00
11
11
01
00
00
11
00
00
10
11
00
01
01
00
00
11
01
01
01
10
11
01
10
00
01
10
11
00
00
11
10
01
00
00
10
11
10
00
10
10
01
01
10
01
01
11
00
10
00
10
01
01
10
10
00
10
10
11
00
00
00
01
11
10
01
10
01
00
10
10
10
01
00
10
10
11
00
10
10
01
10
10
00
00
00
11
11
00
10
01
00
01
00
10
10
11
00
00
10
00
10
01
11
10
00
01
11
01
10
10
01
01
00
11
11
11
10
00
00
10
11
00
00
10
00
10
10
00
10
10
01
01
10
11
00
00
10
00
10
10
00
00
10
00
00
01
00
01
00
11
00
11
10
01
00
00
11
10
10
01
00
00
01
00
11
10
00
10
01
11
11
10
01
00
10
10
10
00
00
00
11
01
10
01
00
00
11
10
10
00
11
00
10
11
01
00
00
10
11
00
00
10
00
10
10
10
00
10
00
00
10
00
11
00
11
10
00
00
01
00
10
10
10
00
00
01
00
10
10
10
01
00
10
01
10
11
00
10
11
10
01
01
10
00
00
10
10
11
00
10
10
00
00
10
00
01
10
10
00
00
00
00
10
10
11
10
00
00
00
00
11
11
10
00
10
10
01
01
10
00
10
10
00
10
10
00
10
10
00
10
01
11
01
10
10
10
01
01
01
00
10
10
00
10
11
11
00
11
11
10
01
10
01
11
01
00
11
00
00
00
11
10
00
00
11
00
00
10
00
10
10
01
00
10
11
00
10
00
01
10
00
11
00
00
00
01
10
10
00
10
10
01
10
01
01
01
10
00
10
10
01
01
10
11
01
01
10
01
10
11
00
01
00
10
00
00
00
10
01
11
00
01
11
00
11
10
11
00
00
10
10
11
00
10
10
00
00
11
01
10
10
00
00
10
10
00
00
11
11
01
10
10
10
11
00
11
10
01
10
10
01
10
10
00
00
10
01
01
11
01
10
00
10
01
00
11
10
00
10
00
10
11
10
10
10
00
00
00
00
00
01
01
00
10
11
01
10
00
10
10
01
10
10
10
01
00
00
10
01
01
11
10
01
00
11
11
10
01
00
10
11
10
00
01
00
11
11
00
11
00
00
11
01
00
11
00
00
00
10
01
01
11
10
10
01
10
01
00
01
10
01
00
10
10
00
10
10
11
00
01
11
00
10
10
00
10
00
00
00
10
01
00
00
10
11
00
10
00
00
00
10
10
00
00
11
01
10
10
01
10
00
10
10
10
00
10
11
00
11
00
01
10
01
01
00
00
10
00
01
01
11
10
00
10
10
11
10
01
01
01
10
10
10
01
11
11
00
00
11
01
01
10
01
01
10
10
00
11
10
11
00
10
00
01
11
10
00
00
10
10
00
00
11
10
00
01
00
11
01
10
00
00
10
11
10
10
00
01
10
01
10
00
01
11
00
11
00
01
11
11
10
10
10
00
01
11
11
01
11
10
00
11
11
00
10
11
00
00
10
00
00
10
11
00
00
11
11
11
10
11
11
10
01
01
10
11
10
00
10
10
00
00
10
11
10
10
00
00
00
00
10
10
11
10
00
11
11
00
00
00
10
10
01
00
10
11
00
10
11
10
10
11
01
10
00
00
01
00
00
00
11
01
00
10
00
10
11
10
10
00
00
00
01
10
01
00
11
01
10
01
11
00
00
10
10
10
10
01
10
01
01
10
01
10
10
11
01
00
10
10
01
10
01
01
10
10
10
00
10
00
01
01
00
10
11
10
11
10
10
00
00
00
10
11
00
11
00
00
00
11
11
00
00
10
00
01
11
10
10
10
00
10
10
01
11
10
00
01
01
01
11
10
00
01
10
10
10
00
01
00
10
00
10
10
11
00
10
00
00
10
10
01
01
11
01
00
11
10
10
01
00
10
11
00
10
10
00
11
11
01
00
11
10
10
01
00
11
10
01
00
10
10
00
00
01
00
10
01
11
11
00
00
10
01
00
00
00
11
01
10
11
10
10
11
10
11
01
00
00
11
01
00
11
10
10
00
00
10
01
01
00
00
10
10
00
00
01
01
11
11
11
00
11
00
10
10
00
11
11
11
11
00
00
10
10
00
01
10
01
01
10
01
10
00
10
00
00
00
11
10
11
01
10
10
00
01
10
10
00
10
10
00
01
00
11
10
00
11
11
10
10
11
00
00
10
01
10
01
10
11
11
01
00
00
00
10
11
10
00
00
10
11
01
00
11
11
11
10
01
00
10
00
01
10
00
11
10
00
00
10
00
00
00
00
10
10
10
10
10
01
00
11
10
00
00
00
00
10
00
01
10
01
00
00
00
11
00
01
10
10
10
00
00
00
01
00
00
11
00
01
10
10
10
10
00
00
01
10
11
01
00
10
11
10
00
10
10
10
10
10
10
01
10
00
10
01
00
11
00
01
11
00
00
10
10
11
00
00
00
10
01
01
00
11
00
10
00
10
01
11
10
00
10
10
01
00
00
10
11
01
00
00
00
01
00
10
11
10
10
01
10
01
10
10
00
00
11
00
00
11
10
00
11
10
10
10
11
00
01
10
00
10
10
00
10
00
10
00
00
11
10
10
00
10
11
10
00
01
01
10
10
01
10
00
00
01
10
10
01
10
01
00
00
11
00
01
10
11
00
00
00
00
10
10
10
10
01
00
10
11
11
11
00
10
00
10
11
10
11
00
11
11
11
00
10
01
00
00
10
00
00
11
11
10
10
10
10
11
11
11
10
00
01
01
00
00
00
10
01
01
10
01
11
11
11
11
11
10
01
10
00
00
11
10
00
00
10
10
01
00
10
10
00
00
10
00
00
10
00
01
10
10
10
00
00
11
01
11
00
10
10
11
10
11
00
00
11
11
01
10
10
00
00
10
10
00
00
10
01
10
00
01
10
01
00
11
10
10
00
11
00
10
00
00
10
00
10
10
00
11
00
01
10
10
00
11
01
00
00
10
10
10
00
00
11
11
00
11
10
00
10
10
00
00
00
00
00
00
10
10
11
00
01
10
00
00
01
11
10
10
00
00
01
10
10
00
01
10
10
00
10
11
00
01
10
11
11
11
00
11
01
00
00
10
10
01
00
10
10
01
00
10
10
01
10
11
10
10
10
00
00
10
11
01
00
00
01
10
10
11
00
11
00
11
10
01
01
11
01
00
11
10
10
00
10
10
00
00
11
11
00
00
01
00
00
01
11
01
10
10
00
10
11
00
00
11
11
00
10
10
00
00
10
00
11
10
00
00
00
11
10
00
01
10
00
10
10
11
01
00
00
10
10
11
11
10
00
10
10
01
01
10
00
10
01
11
00
10
11
10
11
00
01
01
01
10
01
00
10
00
10
11
00
00
11
00
00
11
11
00
00
11
10
00
00
00
10
00
01
11
11
11
00
11
01
00
00
00
11
11
00
00
10
10
00
00
10
11
10
10
00
00
10
10
01
00
00
01
10
00
10
01
10
00
00
00
00
00
00
10
10
00
10
00
01
11
01
10
01
11
01
10
01
10
00
00
10
11
01
10
01
00
10
10
11
10
10
00
00
10
01
10
01
10
10
11
01
01
10
10
00
00
10
00
00
10
00
00
00
00
10
10
01
01
10
11
00
00
10
10
00
10
00
00
00
11
00
10
00
00
00
00
11
10
10
00
01
10
11
11
11
10
00
10
10
11
01
00
11
10
00
10
10
10
01
10
00
10
00
01
10
10
10
10
10
10
00
00
00
10
11
01
00
00
11
10
00
00
10
10
00
00
00
11
00
00
11
11
00
10
10
01
00
11
10
10
00
10
00
01
00
11
00
10
10
00
11
10
00
01
01
10
10
10
01
00
01
00
10
01
11
00
10
11
00
01
11
00
00
10
10
00
11
10
10
00
11
00
01
11
00
00
11
00
00
01
01
10
11
11
01
11
10
01
00
10
11
00
00
11
00
00
10
10
00
10
10
00
00
00
10
10
11
11
10
10
00
01
00
11
01
10
11
10
11
00
10
11
00
01
10
10
00
00
11
01
01
10
10
10
11
10
00
01
10
00
10
01
10
10
01
01
10
00
01
01
00
10
00
00
10
00
10
10
00
00
11
11
00
00
00
10
00
00
10
10
00
10
10
00
11
01
00
00
01
11
01
10
11
10
00
00
11
00
00
10
00
10
11
00
01
10
10
11
10
00
01
10
10
00
00
01
01
10
11
00
01
10
10
11
11
01
00
10
10
00
00
00
11
01
00
00
10
01
10
00
01
10
01
10
00
00
10
10
10
11
10
00
01
00
11
11
01
00
10
01
10
11
01
00
00
11
01
01
00
11
10
00
10
10
00
00
00
10
10
11
01
01
10
11
00
11
00
00
11
10
00
10
00
00
00
00
01
01
10
10
01
11
11
01
01
10
10
00
10
01
00
11
11
10
00
00
00
01
00
10
10
00
01
01
10
11
10
10
01
10
10
00
00
11
10
00
00
10
10
10
10
00
00
11
00
11
00
00
00
10
10
10
01
01
10
10
10
10
00
11
10
00
00
10
10
00
01
00
10
11
11
10
10
11
00
00
00
10
00
00
10
01
00
10
10
01
11
01
01
11
10
11
00
01
11
10
00
01
11
00
10
10
00
10
00
00
10
10
10
10
00
10
00
11
01
01
10
10
10
00
00
01
10
10
00
10
00
00
01
11
10
11
01
01
01
00
10
00
00
10
00
11
10
01
00
11
01
10
10
11
00
00
00
10
10
00
11
00
01
11
11
11
11
11
01
01
10
01
00
00
11
11
00
10
01
10
00
10
01
00
11
10
00
01
11
01
10
10
00
10
11
00
01
00
10
10
10
10
10
00
00
00
11
10
11
10
01
10
10
10
10
10
01
00
11
10
00
10
01
00
10
10
01
00
00
10
01
11
00
10
10
01
01
00
00
00
10
00
00
11
10
11
01
10
11
00
11
10
00
00
00
10
10
01
10
10
11
01
00
01
00
11
10
10
10
00
01
11
10
00
01
10
00
11
10
00
01
00
11
00
10
10
10
01
00
10
10
01
11
10
11
00
11
00
00
10
11
01
00
00
11
10
10
10
00
11
00
00
10
00
00
00
00
10
00
10
00
10
00
00
01
10
10
10
01
10
10
00
01
10
10
10
10
00
00
10
00
10
11
10
10
00
10
01
10
00
00
01
10
10
00
01
00
11
00
10
00
01
00
10
00
01
10
10
11
10
00
11
11
00
10
11
11
11
00
01
00
00
01
10
10
00
10
11
01
00
00
11
00
00
00
10
00
00
11
10
10
01
00
10
11
10
00
00
00
00
00
11
10
00
00
00
01
10
00
11
11
00
11
00
01
01
01
10
00
10
10
10
00
10
10
11
01
00
10
01
10
00
00
00
00
01
11
10
00
00
10
01
00
11
10
01
11
01
11
00
00
01
00
11
10
10
10
10
00
11
01
01
10
10
10
10
10
00
00
11
11
11
00
00
10
01
00
01
11
00
00
11
00
01
00
10
10
01
01
00
11
10
11
10
00
00
00
10
01
01
10
10
00
01
11
10
11
10
00
00
10
00
10
10
01
10
11
00
10
10
00
01
01
11
11
00
01
10
10
00
00
00
10
01
10
10
00
11
01
00
01
00
01
10
11
01
11
00
00
01
01
01
10
10
00
00
10
01
10
00
01
10
00
00
10
11
01
11
00
10
01
11
11
01
00
10
00
00
11
11
00
01
10
11
10
00
00
00
10
11
00
10
10
01
00
01
00
10
10
01
01
10
00
11
00
00
10
10
10
00
10
00
00
10
00
00
01
00
10
00
10
10
11
10
11
10
00
00
01
10
00
10
11
10
00
11
10
10
00
00
10
00
10
10
00
00
00
10
11
10
10
00
01
11
10
01
00
10
01
10
10
00
00
10
01
11
00
11
10
00
01
10
00
01
00
00
10
10
10
11
00
01
10
10
10
00
00
11
00
01
10
11
00
00
10
10
01
00
10
11
01
00
00
11
00
10
01
10
10
01
00
11
01
01
00
11
10
01
10
10
00
00
00
10
10
01
00
11
00
01
11
10
11
01
01
11
10
01
10
00
00
10
10
00
01
11
00
00
11
00
11
00
11
11
11
10
00
00
11
11
01
11
10
00
10
00
00
10
10
00
01
00
11
10
01
00
01
00
10
00
00
01
10
00
01
10
10
00
10
10
10
01
00
00
10
00
10
00
10
10
10
00
10
11
10
11
00
00
00
10
10
00
01
10
11
10
00
00
00
01
11
11
00
11
11
10
00
11
00
01
00
11
00
00
10
00
10
00
00
10
10
11
01
10
00
10
00
00
00
11
10
01
00
00
00
00
10
00
00
11
11
00
10
10
10
01
00
10
00
00
01
01
00
10
01
00
10
10
00
00
11
10
10
10
01
01
11
01
10
00
01
10
01
00
11
11
10
11
00
01
10
00
10
10
00
10
00
00
00
10
10
01
00
11
10
01
10
10
00
11
10
00
00
11
00
10
00
00
00
00
11
01
00
10
10
00
00
10
00
10
10
00
01
00
00
01
01
00
10
10
10
01
00
00
00
10
00
11
00
01
00
00
10
00
01
10
11
01
11
10
01
10
11
10
01
00
11
01
00
01
00
00
00
01
10
01
10
10
01
00
10
01
00
10
00
10
10
11
01
11
10
01
10
00
10
00
10
01
00
10
10
00
00
01
00
10
00
10
00
00
00
01
01
10
10
11
10
10
10
10
00
00
10
10
10
00
00
00
10
01
11
11
00
11
00
10
10
10
00
00
01
10
10
11
00
00
10
10
00
10
11
01
10
11
01
11
10
10
10
00
01
11
00
10
01
00
11
00
01
10
10
10
10
01
00
01
10
10
01
10
00
10
11
01
10
01
10
11
01
10
11
00
01
10
10
00
10
10
00
01
10
10
00
00
10
10
11
10
00
00
10
10
10
10
00
01
10
00
01
10
01
10
00
01
11
10
00
10
10
10
10
00
11
00
01
11
00
10
10
00
10
11
10
01
01
10
01
11
11
11
11
00
00
10
00
00
10
10
10
11
10
01
10
01
10
10
01
10
10
01
00
00
11
10
00
11
10
00
00
11
10
00
10
00
10
10
10
00
00
00
10
10
00
00
10
10
10
10
10
10
11
01
01
00
00
10
01
00
11
11
00
01
00
11
10
10
00
01
00
01
10
11
01
00
00
10
00
01
00
11
00
00
10
10
00
10
00
01
11
10
00
10
01
00
00
00
00
11
00
01
11
01
00
00
10
11
00
00
00
11
01
10
11
01
00
11
10
00
11
11
10
11
00
10
10
00
00
01
11
11
00
11
01
11
00
00
11
11
00
01
10
00
00
10
11
10
11
00
01
01
10
01
00
00
11
00
00
10
10
00
00
00
00
10
11
00
00
10
11
00
00
10
10
10
00
10
00
10
11
00
11
10
01
00
00
00
10
11
01
10
10
00
00
10
01
11
01
10
00
00
10
00
00
00
00
01
00
10
10
01
01
10
10
11
10
01
00
11
00
01
11
01
10
00
01
10
11
10
00
00
10
11
10
00
00
11
10
01
00
11
01
10
00
10
10
10
11
11
00
01
01
01
10
10
10
10
11
00
01
10
10
10
01
00
11
01
00
10
01
10
01
10
11
10
00
10
00
01
10
10
00
00
00
10
10
10
10
00
11
00
11
10
00
00
01
11
11
11
00
01
10
10
00
00
11
10
00
00
00
01
00
00
10
11
10
00
10
10
11
00
11
10
00
00
10
10
01
10
10
00
00
11
11
11
01
00
00
10
10
10
11
00
11
11
10
10
10
00
10
10
00
01
00
10
11
00
10
11
10
11
11
00
00
00
00
00
10
10
00
11
00
11
00
10
00
00
11
00
11
10
00
01
11
10
11
00
00
00
10
10
00
10
11
00
00
11
10
01
00
10
00
10
10
10
10
10
00
00
00
10
11
10
00
10
00
00
10
01
00
10
00
01
00
10
11
00
00
10
10
10
10
00
11
01
10
10
00
10
11
11
00
01
10
10
10
00
00
10
11
11
00
01
10
10
10
11
10
01
00
01
01
00
10
10
00
11
10
00
01
11
11
00
01
10
00
00
00
10
00
01
00
11
10
01
10
00
10
10
10
10
00
00
10
10
10
01
00
01
10
11
00
10
10
10
10
00
11
00
01
11
01
00
10
01
10
00
00
00
00
10
10
00
10
10
10
01
10
01
10
01
10
00
00
10
01
00
00
10
00
00
01
00
11
00
11
00
01
10
01
00
10
11
00
01
11
01
11
11
00
01
11
10
00
10
10
01
01
10
00
10
11
01
00
01
10
01
00
10
00
01
10
00
10
10
11
10
00
10
10
00
10
01
00
00
11
11
11
00
10
11
10
10
00
10
10
00
00
11
10
10
10
10
00
10
10
00
10
01
10
11
00
00
00
11
11
10
10
11
10
10
11
00
01
10
10
00
00
11
10
01
10
10
00
11
10
11
10
00
00
10
00
10
00
00
10
10
00
01
10
00
01
10
10
01
10
10
10
00
00
00
10
10
01
01
00
01
01
10
00
01
10
11
00
00
01
10
11
00
00
10
00
00
10
10
00
00
00
10
00
00
00
01
11
11
01
10
11
00
01
00
10
10
01
11
11
00
11
10
00
10
11
00
01
01
10
01
01
11
11
00
00
11
01
01
10
01
00
00
11
10
01
10
10
00
10
00
10
10
01
10
11
01
10
11
10
00
00
00
11
10
01
10
00
10
00
10
10
00
00
10
10
11
00
01
10
00
01
11
11
10
01
01
01
10
00
10
10
01
00
01
10
00
10
10
00
00
00
10
00
00
10
00
01
00
10
10
10
11
00
01
01
01
11
00
00
11
00
01
10
10
01
00
11
00
10
00
11
10
00
00
11
00
10
00
10
01
01
10
10
00
01
11
10
11
00
11
11
01
01
10
00
01
00
10
10
00
11
00
10
00
00
00
01
11
11
00
11
10
10
11
01
11
10
01
00
00
01
01
00
10
00
10
10
00
10
00
11
11
11
00
00
10
01
01
10
10
01
00
11
00
11
00
10
01
00
10
11
00
10
10
00
00
01
00
01
10
10
00
10
01
00
10
10
10
10
11
00
01
11
00
11
01
10
11
00
01
00
01
10
10
00
01
10
11
00
00
00
00
00
10
01
00
10
01
10
10
11
01
10
00
00
00
10
00
00
10
00
10
10
11
01
11
00
11
10
10
00
00
11
11
11
01
10
11
01
10
10
01
00
11
10
00
10
01
00
01
11
10
10
11
11
11
11
10
00
11
00
01
00
01
10
11
00
01
10
01
00
11
01
00
00
00
10
00
01
10
10
10
00
10
01
00
11
01
10
10
11
10
00
11
11
01
10
00
00
01
00
10
10
00
00
11
10
01
01
10
00
10
01
10
00
00
11
10
10
00
00
10
01
10
10
00
10
10
10
10
11
10
00
00
00
00
01
00
11
01
01
10
00
01
11
10
00
00
10
10
10
00
00
11
00
00
10
10
01
11
10
00
10
11
01
11
10
00
00
00
00
11
00
00
10
01
10
10
01
00
10
10
11
00
10
01
00
10
10
00
00
10
11
01
01
10
11
11
10
00
00
10
11
01
00
11
00
00
11
10
10
00
00
10
11
10
00
10
00
10
10
00
10
01
11
01
11
10
11
00
11
00
01
00
10
00
00
10
11
11
00
00
11
00
01
00
11
00
11
00
00
00
11
00
00
11
10
10
00
10
00
10
00
00
01
10
00
10
00
10
01
10
10
11
00
00
01
10
10
10
11
10
00
10
10
00
00
10
11
10
01
11
00
00
00
10
00
00
10
00
00
01
11
00
11
00
01
11
00
11
11
01
00
00
10
11
01
00
11
10
01
11
00
00
11
00
00
10
11
00
01
10
00
00
10
00
10
00
00
10
10
10
11
10
11
00
10
00
01
00
00
00
10
11
00
01
10
10
00
00
01
10
00
11
00
01
10
10
01
00
10
10
00
01
01
01
10
01
00
10
11
01
00
00
11
10
10
00
00
10
01
00
10
00
00
00
00
10
10
10
10
01
01
11
10
00
00
10
10
00
10
01
00
11
00
11
01
01
01
10
00
10
00
01
01
11
11
10
11
00
11
00
00
10
10
11
01
00
11
00
01
10
10
00
10
00
00
10
10
10
11
00
10
11
10
10
01
10
11
01
11
10
11
01
00
11
11
01
10
10
00
10
10
00
10
10
10
01
11
00
01
10
00
00
11
10
10
01
00
11
10
11
01
00
10
10
11
00
00
00
10
10
10
10
00
00
11
10
00
00
00
10
10
11
00
00
00
10
10
11
00
00
11
01
00
11
10
00
10
10
10
00
00
10
01
01
10
11
10
01
10
00
00
00
10
10
00
10
11
00
10
00
10
01
00
01
00
01
10
00
10
01
00
10
10
10
11
10
00
00
00
01
11
10
11
01
10
10
10
10
01
10
11
00
11
00
00
11
11
10
11
10
10
00
10
01
10
01
00
00
01
10
01
00
01
00
10
10
00
10
00
11
10
00
00
11
00
01
01
10
00
00
10
00
00
00
10
10
10
00
10
00
00
00
11
10
10
10
10
11
10
11
10
01
00
00
11
00
00
10
10
00
00
11
01
10
11
10
00
10
11
00
00
10
10
01
00
00
00
11
10
00
01
01
11
00
00
00
10
11
10
11
01
10
01
00
00
10
00
00
10
10
11
00
01
00
10
00
10
10
00
00
10
10
11
00
00
01
11
11
01
00
10
01
01
10
10
10
10
00
00
00
11
11
00
10
01
01
11
10
00
00
11
11
11
00
11
10
10
00
00
10
10
11
10
10
01
00
00
10
01
01
00
10
10
01
01
10
00
10
11
10
00
00
00
11
01
00
10
00
11
11
01
01
10
11
00
11
00
10
00
00
11
10
11
00
11
01
10
10
00
11
11
00
00
00
10
00
10
10
11
10
01
01
00
10
10
00
01
10
11
10
00
00
00
00
10
00
10
10
01
01
11
00
01
10
01
10
10
11
00
10
10
00
00
10
10
00
10
00
00
10
10
00
10
10
00
10
10
11
10
00
00
10
10
10
00
00
00
10
10
01
01
00
00
00
00
10
00
01
10
00
11
01
01
00
10
11
01
11
10
10
10
00
00
00
00
11
11
11
00
01
10
01
00
01
10
10
01
10
10
01
00
10
01
00
00
10
00
01
00
10
10
10
00
11
00
10
00
00
00
10
01
11
00
10
01
01
00
00
10
00
10
11
00
11
10
00
01
10
10
10
10
00
01
01
10
00
00
10
11
00
01
10
10
10
01
10
00
10
10
01
01
00
11
00
01
00
01
00
01
10
11
01
00
11
10
10
00
00
10
00
01
00
00
11
00
10
10
10
11
10
11
11
01
01
00
10
01
11
01
11
10
00
10
00
10
00
00
11
00
00
00
00
11
10
10
11
11
10
11
00
01
00
10
10
01
01
10
00
10
10
00
00
00
00
00
00
11
10
00
10
01
00
00
01
01
10
10
00
01
00
01
11
10
10
10
10
00
00
11
10
01
00
11
01
11
10
00
00
11
10
01
00
10
10
00
01
11
11
00
10
00
00
10
01
00
10
00
01
00
01
01
11
00
00
01
11
10
01
10
00
11
10
00
01
10
11
00
10
10
00
10
10
00
11
10
00
10
11
00
10
00
00
00
00
00
10
11
10
00
01
10
11
00
00
00
01
00
10
11
00
10
00
00
11
10
00
10
01
01
00
01
10
00
11
10
11
01
10
11
00
00
10
11
00
01
11
11
00
10
00
00
01
00
00
10
10
10
00
01
10
00
01
10
10
10
10
10
00
00
00
11
00
10
01
10
01
01
01
01
10
10
10
10
00
00
11
11
11
11
00
11
01
10
10
00
00
11
00
00
10
10
10
00
01
10
01
10
00
11
10
00
00
10
11
00
00
00
00
01
11
11
10
10
10
00
10
10
01
00
11
00
10
00
10
11
11
10
01
01
00
00
10
00
10
11
00
10
10
10
00
10
10
10
01
11
00
00
01
00
11
10
00
10
10
00
00
00
10
10
11
01
00
11
10
00
00
01
00
10
11
00
10
11
11
10
00
10
00
00
10
10
00
01
10
11
01
01
10
01
10
10
01
00
00
10
01
10
00
01
11
10
00
10
10
10
10
00
10
01
11
00
11
01
11
00
10
10
01
11
01
01
10
01
00
01
10
10
01
00
01
10
00
01
11
10
01
00
00
00
00
10
11
00
00
10
10
11
11
00
00
00
01
00
00
10
10
10
00
00
00
01
10
00
10
00
10
10
10
10
00
00
00
00
00
00
01
10
10
10
01
10
00
01
00
01
00
01
11
10
01
11
10
00
00
10
10
00
00
00
11
10
00
10
01
00
00
10
10
11
11
00
00
11
10
00
00
00
01
10
11
10
00
00
10
00
00
01
10
10
00
10
00
01
00
10
10
01
10
11
01
01
10
11
00
10
11
01
10
10
10
10
00
11
11
01
01
10
00
10
10
11
00
01
10
01
10
01
10
11
00
00
11
01
11
11
00
11
00
00
00
10
11
01
11
00
10
00
10
11
11
00
00
00
00
11
00
11
10
00
00
01
01
00
11
11
00
10
00
10
10
10
10
00
00
10
00
00
10
00
00
11
00
01
11
00
11
00
00
11
10
11
00
00
11
00
00
10
10
01
00
10
10
10
00
11
11
00
11
00
00
01
00
00
10
10
10
01
00
00
00
11
00
10
10
11
10
00
11
01
01
10
00
00
11
00
00
11
00
01
10
00
11
10
10
10
01
00
11
00
00
10
11
10
00
01
00
11
00
00
11
10
01
10
10
00
10
10
11
10
00
10
10
01
00
00
10
10
01
10
11
00
10
11
01
00
00
00
11
10
10
10
00
00
00
00
10
00
00
11
00
00
11
10
01
01
10
10
00
11
10
10
00
10
10
11
00
00
00
11
11
01
00
00
11
01
00
10
00
00
00
10
10
11
00
01
10
11
00
10
00
00
10
10
00
00
00
00
10
10
10
01
11
11
01
10
10
01
00
10
00
01
01
01
10
10
11
10
01
10
00
10
01
00
00
11
00
01
11
10
10
11
10
10
10
01
01
10
00
01
01
01
00
10
11
00
10
00
01
10
11
10
01
10
00
00
10
00
01
11
11
10
10
00
10
10
10
00
01
00
11
11
01
00
01
10
11
00
00
10
10
01
00
01
10
10
10
01
11
10
00
00
10
00
00
11
11
11
10
00
10
10
10
10
00
01
11
01
10
00
10
00
01
00
11
10
10
10
00
11
10
00
00
10
00
00
01
01
11
11
00
10
00
01
00
00
11
11
11
10
11
00
10
10
11
11
00
10
00
11
00
11
10
00
01
10
11
10
10
01
01
00
00
00
01
11
01
10
11
00
01
10
10
11
10
00
01
00
01
00
00
00
00
00
01
00
11
00
01
10
01
10
10
00
10
00
00
00
10
10
10
10
00
10
00
00
11
01
10
10
10
01
10
11
00
10
10
10
00
11
10
00
00
00
01
10
00
11
01
00
00
11
10
01
01
10
00
11
10
00
00
10
10
00
10
10
00
00
01
11
01
01
01
01
10
10
10
00
01
11
10
00
01
11
10
01
01
10
11
00
01
00
01
10
10
10
11
11
00
01
10
01
00
01
00
10
10
11
10
01
00
11
11
00
10
00
00
10
00
00
10
00
01
10
11
01
11
01
10
01
00
10
10
11
00
01
10
10
10
10
00
11
00
00
11
11
11
11
11
00
01
01
01
10
11
00
00
01
11
10
11
00
00
00
00
01
00
01
10
10
10
00
00
10
00
00
10
01
00
10
10
00
01
00
10
11
10
10
00
01
10
10
00
10
00
10
01
01
10
00
10
10
11
11
00
10
10
00
10
00
10
11
10
10
01
00
00
10
11
01
01
01
10
11
01
10
10
10
01
11
10
01
10
00
00
10
00
01
11
10
10
11
00
00
10
00
11
11
00
11
00
10
01
10
00
10
10
00
10
00
11
00
11
00
10
00
00
11
10
00
00
11
11
00
10
10
01
00
01
00
00
00
00
11
10
01
00
00
10
01
01
00
00
10
11
10
10
11
11
00
10
11
01
11
01
01
00
10
00
10
10
10
01
00
10
10
10
10
10
01
00
10
00
11
10
01
10
10
11
10
01
00
10
10
01
00
01
01
10
00
00
00
00
10
00
00
00
10
00
01
00
01
10
11
11
10
10
00
00
10
11
10
01
00
10
00
01
00
10
11
00
00
11
11
00
11
01
01
00
10
10
00
00
10
10
00
00
10
00
00
00
10
01
00
11
10
11
01
00
10
10
00
00
01
11
10
01
10
11
11
10
00
01
00
10
10
00
00
11
10
10
00
11
00
00
11
11
10
00
10
00
00
10
10
10
10
11
00
10
00
10
01
11
01
10
10
00
00
10
10
00
01
00
11
10
10
00
10
00
00
10
11
11
01
10
01
10
10
10
00
00
10
10
01
10
01
10
11
10
00
10
00
11
11
10
01
11
10
00
00
00
00
01
10
10
10
01
11
10
01
00
10
11
00
00
00
11
10
10
11
00
01
11
10
10
10
00
00
10
10
10
00
11
10
00
10
01
01
00
11
11
10
11
00
01
00
01
10
11
00
00
00
11
11
00
10
10
11
00
00
10
01
10
01
11
10
00
00
01
11
01
00
11
11
00
01
10
01
10
10
00
10
11
01
01
00
00
10
00
00
00
01
10
00
00
10
00
00
11
10
00
10
01
00
00
00
11
00
00
00
10
10
01
10
10
10
00
01
11
10
11
01
01
01
00
10
11
00
00
01
11
11
00
01
00
01
10
00
01
10
11
11
10
10
10
00
00
01
10
00
00
00
11
00
10
10
10
11
11
10
10
10
10
01
00
10
00
00
10
00
10
10
01
11
10
10
10
00
11
00
01
10
01
01
10
01
00
10
10
11
00
00
01
10
00
10
00
10
10
00
10
10
00
00
10
10
10
01
10
10
11
01
01
00
00
10
01
00
01
11
00
11
10
10
10
00
00
00
00
11
00
00
11
11
00
10
11
00
01
11
01
00
10
10
10
10
00
10
10
00
01
01
10
11
00
00
00
01
10
00
10
00
10
01
00
10
01
10
00
10
00
01
00
01
10
10
00
11
10
00
11
10
00
00
11
10
01
10
00
10
10
10
10
00
00
00
10
10
01
10
10
10
11
11
01
11
01
11
00
11
10
00
11
10
01
01
00
11
00
11
00
00
10
11
10
10
00
01
01
10
10
01
00
10
10
10
00
10
00
00
00
00
11
01
10
01
11
00
00
11
00
10
01
01
10
10
01
10
10
01
00
00
10
00
10
10
10
10
00
11
01
00
10
01
10
11
01
01
10
11
00
01
00
00
00
11
00
10
10
01
10
00
00
10
10
10
00
11
00
10
11
10
10
00
10
00
00
00
10
10
01
10
00
00
00
10
00
01
00
01
00
10
10
00
00
10
11
01
01
10
11
00
11
00
11
01
00
10
11
11
00
01
11
10
00
01
11
01
10
10
10
00
01
00
10
01
01
10
01
11
11
10
00
10
00
01
00
10
10
01
00
00
11
10
10
00
10
10
10
00
00
00
00
10
10
11
00
01
11
10
00
00
00
00
01
10
10
11
00
00
00
10
10
00
10
00
10
10
00
11
10
10
11
01
01
10
00
10
00
00
11
10
00
00
00
00
00
11
01
00
00
01
00
11
00
00
11
01
00
10
10
00
11
00
00
10
00
00
10
10
00
11
10
00
11
10
01
00
10
10
00
00
10
00
00
01
10
01
00
10
00
10
11
11
11
01
10
00
00
00
00
00
01
10
10
00
11
00
11
01
11
00
10
01
00
00
00
11
01
11
10
00
10
11
10
10
01
00
01
10
11
00
01
00
00
01
01
00
10
00
00
00
10
11
10
10
10
01
10
11
10
10
01
00
11
00
01
10
10
00
01
10
10
01
00
11
11
10
10
10
00
10
11
00
11
01
00
00
11
00
00
11
10
00
01
11
01
10
10
01
11
10
01
00
10
10
11
00
01
11
10
00
11
10
00
01
10
10
01
11
11
11
10
00
01
00
10
01
00
11
00
10
00
11
10
00
00
11
00
01
11
10
11
10
10
00
11
11
01
00
10
10
00
01
01
10
10
10
01
00
00
00
10
10
00
00
00
10
00
10
01
11
10
01
00
11
10
00
11
10
10
10
11
01
00
00
00
00
00
11
11
00
10
01
10
01
00
10
10
00
00
10
00
00
00
10
00
00
00
00
11
00
10
10
11
00
11
00
00
10
11
10
10
11
10
00
10
10
01
01
10
10
01
00
10
00
01
10
01
10
00
10
11
00
00
00
10
10
00
11
10
10
00
00
01
00
10
10
10
10
00
00
00
00
00
10
10
10
00
00
11
01
10
10
11
11
00
11
00
11
01
01
00
11
00
01
01
11
11
00
10
10
00
00
10
11
01
01
10
01
00
11
10
01
00
10
00
00
10
11
01
01
01
10
01
10
00
01
10
10
01
00
11
00
10
01
11
01
00
00
10
10
10
10
01
00
01
10
10
10
10
10
00
00
10
01
10
11
10
00
01
00
01
11
10
00
10
11
01
10
10
10
10
01
00
11
01
01
11
00
00
00
10
10
10
00
00
11
00
00
01
10
10
10
00
10
10
00
10
10
10
01
00
01
00
10
10
10
00
01
10
11
10
11
00
00
10
10
10
00
00
10
10
10
01
11
11
11
00
01
10
00
10
10
01
00
10
11
00
00
11
01
01
10
10
10
01
10
01
01
10
11
10
11
10
11
00
00
00
11
10
10
10
00
00
10
00
11
10
01
10
10
01
11
11
00
10
01
10
11
00
10
10
00
01
11
00
00
11
01
00
10
10
00
00
00
00
11
10
11
10
10
00
10
10
00
01
10
01
00
10
10
10
01
00
10
11
10
01
11
01
10
00
00
01
01
00
00
10
00
10
10
10
10
01
10
00
00
00
11
01
11
11
01
11
10
01
00
11
11
00
00
10
11
01
11
10
11
00
00
01
01
01
00
01
10
11
10
00
11
11
00
00
01
11
00
00
00
10
10
10
00
10
10
11
00
11
00
00
00
10
00
01
00
01
00
00
10
10
00
10
10
00
11
01
01
11
10
00
10
00
01
01
01
10
11
11
10
00
10
10
01
10
11
01
10
10
01
10
10
01
00
00
10
10
01
10
11
00
11
11
01
01
01
10
11
10
10
10
01
00
11
10
01
00
00
01
01
11
10
00
10
11
00
10
10
00
00
00
11
00
00
10
01
00
10
00
00
01
00
11
10
01
00
00
11
01
01
11
11
10
01
11
00
01
11
10
01
00
11
10
00
00
01
10
00
00
00
11
10
10
11
11
10
10
11
10
00
01
00
00
00
00
01
10
10
01
11
10
10
10
11
10
01
00
01
10
10
11
10
00
00
00
01
00
00
10
00
10
10
00
10
10
10
11
00
00
00
00
10
01
11
11
10
00
11
01
00
00
10
00
11
11
01
11
11
10
11
10
00
11
00
00
01
10
10
00
10
00
00
11
10
10
10
10
00
11
11
00
10
00
00
00
00
01
11
01
10
00
10
10
10
11
01
00
10
00
10
01
00
11
10
01
01
11
10
10
10
10
11
00
10
11
01
10
10
10
01
00
01
11
10
01
10
01
00
00
11
10
01
00
00
11
11
11
10
10
10
11
11
01
00
11
11
01
00
10
00
00
10
11
10
11
10
01
00
00
00
10
00
00
10
10
10
01
01
10
01
01
10
00
00
10
11
10
00
00
10
00
11
01
00
01
00
10
00
10
10
11
00
00
11
10
11
11
10
00
10
00
01
00
10
10
00
00
00
10
10
10
00
10
10
00
01
11
01
00
00
10
10
10
10
01
01
11
01
01
11
10
10
00
00
11
01
01
11
00
00
01
10
10
00
10
10
00
10
11
11
01
11
10
00
10
10
00
00
11
10
10
00
00
00
11
00
10
00
01
01
00
01
00
10
10
10
11
10
01
01
01
01
00
11
01
10
00
00
10
01
10
10
11
00
01
00
10
10
00
00
00
00
10
10
00
10
01
00
10
00
11
11
00
11
00
00
11
10
00
01
00
10
00
10
00
00
10
11
11
11
11
00
11
01
10
01
10
10
01
10
01
00
00
11
11
01
00
10
10
00
00
10
10
00
10
11
01
11
10
00
00
11
00
10
10
00
11
10
11
11
10
01
10
00
10
11
00
10
00
10
10
01
00
01
10
01
01
11
01
00
10
01
10
11
00
00
10
10
11
00
00
10
01
00
00
01
11
10
10
10
10
01
10
01
10
01
01
00
00
10
00
00
01
10
11
10
10
10
10
10
10
10
11
00
00
00
00
10
01
00
01
01
10
01
01
00
10
00
00
10
10
00
10
00
01
10
10
10
01
10
11
00
01
01
11
00
11
11
00
00
10
00
00
01
10
11
00
00
10
11
00
10
00
00
11
10
00
11
10
10
00
01
10
00
10
00
10
10
01
00
00
01
10
00
10
00
11
10
00
00
10
00
00
10
00
00
00
00
10
10
10
01
00
01
00
10
00
00
10
10
00
00
00
11
10
11
10
00
00
11
00
00
01
10
00
00
11
11
10
11
10
00
11
10
00
10
00
11
01
01
11
11
00
11
10
00
11
10
00
00
11
10
00
01
00
00
10
10
10
10
00
01
01
10
11
01
11
00
00
11
01
00
11
10
00
00
10
00
10
00
01
00
10
00
10
11
10
10
10
10
01
11
00
00
01
01
00
11
11
00
00
10
10
00
10
00
01
00
11
00
10
11
11
10
00
01
10
10
00
00
10
00
01
10
01
00
11
00
00
11
11
00
01
11
10
00
01
10
10
00
00
01
11
00
01
10
01
11
01
00
11
00
01
10
10
11
11
00
01
01
10
10
11
11
10
01
01
00
11
00
00
11
10
10
11
00
00
11
00
10
10
00
10
01
00
00
00
10
00
01
10
10
10
01
10
10
00
00
10
00
10
00
00
00
00
00
10
11
00
00
01
01
10
11
00
10
11
00
00
00
01
10
11
11
11
11
01
00
00
00
10
10
00
00
10
00
00
00
10
10
10
10
01
00
00
10
11
10
10
11
00
00
01
10
00
01
10
11
01
01
11
01
00
11
11
00
00
10
10
01
00
10
10
10
10
11
01
00
01
00
10
00
11
10
10
11
01
10
10
00
00
10
00
01
10
11
01
00
10
01
01
10
00
01
10
10
01
00
10
00
00
11
01
10
11
11
01
11
00
11
00
11
01
10
10
11
00
00
10
11
01
10
11
01
10
00
11
00
01
10
10
01
00
10
11
10
00
00
10
10
11
01
00
10
00
11
11
10
10
01
00
10
11
11
01
11
10
01
00
01
00
11
10
10
10
00
11
10
00
10
10
10
10
00
00
01
10
10
00
00
10
00
11
11
00
11
00
01
00
01
11
11
01
00
01
10
10
00
00
10
11
00
00
10
11
01
01
01
10
11
11
11
00
00
10
10
00
00
11
00
11
00
00
00
10
00
10
11
10
11
00
01
10
10
01
00
10
10
10
11
00
10
01
00
10
10
00
10
01
00
01
01
00
10
00
10
01
00
10
10
10
00
10
10
00
10
00
11
10
01
00
00
11
00
00
10
00
01
00
10
01
00
00
00
00
10
00
10
10
01
10
11
00
01
00
10
10
01
10
11
00
10
01
00
11
10
10
00
11
10
01
00
10
11
00
00
01
11
00
00
11
00
10
11
10
01
01
01
00
10
10
11
00
00
10
10
01
10
10
00
00
00
11
00
00
00
11
00
00
00
11
00
00
00
11
01
10
00
00
00
00
01
10
00
11
11
00
11
01
10
11
10
11
00
10
00
10
11
00
00
10
10
00
00
01
10
01
00
00
10
10
00
01
10
11
01
10
10
10
10
00
01
10
00
00
11
10
01
00
10
11
00
00
11
01
01
00
10
10
10
11
00
00
10
10
00
00
01
10
11
00
10
11
10
00
11
10
01
11
10
10
00
00
11
00
01
11
01
01
00
00
00
10
10
01
00
01
11
01
10
00
10
10
01
00
10
10
01
11
11
11
00
01
00
11
01
01
10
00
10
10
00
00
10
10
00
11
00
11
00
11
00
01
10
00
10
11
00
10
10
00
00
10
11
01
10
01
11
11
01
00
00
11
00
01
11
10
10
00
00
00
10
11
01
01
10
00
10
10
10
10
00
00
10
10
10
11
10
11
00
11
00
10
10
00
10
01
00
10
01
00
10
00
11
10
10
10
00
00
01
10
00
00
10
00
10
10
01
10
00
10
10
10
00
10
11
11
01
00
10
00
00
10
11
10
10
10
11
10
01
00
10
10
00
10
00
01
11
00
10
10
00
01
00
11
11
00
10
00
00
01
10
10
10
10
10
01
10
00
01
10
01
10
00
00
11
10
10
00
00
10
01
10
11
10
00
10
00
01
10
11
00
10
10
00
10
10
01
01
00
10
10
00
00
00
00
00
01
10
10
01
01
11
00
10
10
00
10
10
10
00
01
00
11
00
10
01
11
11
00
10
01
00
11
00
10
10
01
11
10
10
00
00
00
01
11
00
00
10
11
10
00
01
00
11
01
00
11
10
10
00
10
10
00
00
00
11
10
10
00
10
10
10
11
00
10
11
10
01
11
00
01
01
10
11
01
11
10
01
00
00
11
10
00
10
10
00
01
10
10
00
11
01
10
00
00
11
11
01
01
10
01
01
10
10
10
01
10
10
00
11
00
11
00
00
11
10
00
11
10
00
10
10
00
01
11
00
10
00
00
01
00
01
00
11
00
00
11
01
11
10
00
01
11
00
00
11
11
10
01
01
10
11
00
00
10
10
01
10
10
01
01
10
00
11
01
00
00
01
10
01
00
10
10
01
00
00
10
10
10
10
00
11
00
10
00
00
11
01
11
10
00
00
00
10
10
11
11
11
01
01
01
11
00
00
10
11
00
01
00
10
11
11
00
11
00
01
01
11
10
11
10
00
01
01
01
11
11
00
00
00
10
00
00
10
11
10
01
10
10
01
10
10
10
10
00
10
10
00
00
11
10
00
00
00
10
11
10
00
11
11
10
00
01
10
01
11
00
01
10
00
10
10
01
01
10
10
10
00
01
00
01
10
00
10
00
11
10
11
00
01
11
10
01
00
00
10
00
00
10
10
01
01
01
11
10
00
10
00
10
00
00
11
11
10
00
10
10
00
11
10
11
00
00
11
01
00
01
00
10
10
10
00
01
11
10
00
10
10
10
10
00
00
10
11
11
11
10
10
10
10
00
11
11
01
10
11
10
10
00
00
11
10
00
00
11
10
11
00
00
11
10
11
11
10
01
00
11
01
01
00
10
11
00
10
10
10
01
10
10
00
01
11
10
10
01
10
11
11
00
01
10
00
00
10
10
10
10
00
10
01
01
10
00
11
01
01
01
11
10
10
11
00
10
01
01
00
11
00
10
00
00
10
00
00
10
10
10
01
10
01
10
00
10
00
10
11
00
00
01
10
01
11
10
10
10
10
00
00
10
00
00
00
10
10
10
01
00
11
10
00
10
10
01
11
01
00
10
11
01
00
00
10
10
00
00
00
10
00
01
00
11
10
01
00
10
10
00
00
10
01
10
10
00
11
10
10
00
00
00
01
11
10
11
01
10
00
00
10
10
01
00
10
00
11
11
11
00
01
00
00
00
11
11
01
10
10
10
10
11
10
01
00
01
01
01
11
11
00
11
11
00
00
10
10
10
00
00
10
10
01
10
11
10
00
11
10
00
01
01
00
11
10
11
10
10
10
00
11
10
00
00
00
01
11
10
01
10
11
00
01
01
10
10
10
10
00
00
10
00
11
10
10
11
00
10
01
11
10
11
10
11
00
10
00
10
00
01
10
00
10
00
10
01
00
10
10
01
00
01
11
01
10
10
00
00
11
10
10
00
00
10
00
10
01
10
01
11
00
00
11
10
11
01
01
11
11
00
10
10
00
00
01
10
10
10
10
11
00
10
01
00
01
11
10
01
01
00
11
10
10
11
00
00
00
10
10
10
00
00
10
11
10
10
00
10
00
00
10
00
00
10
00
11
01
01
10
10
10
01
11
00
00
10
00
11
10
01
10
11
10
11
01
11
11
00
11
11
10
11
01
00
00
00
10
11
11
01
10
10
00
10
10
00
10
10
10
10
10
00
00
10
10
10
10
00
00
11
00
11
00
10
10
11
10
00
11
10
00
10
10
00
00
11
10
00
01
10
11
00
11
00
00
01
11
11
00
10
10
10
11
10
10
01
00
11
11
10
00
10
10
00
00
11
01
00
00
00
11
00
01
01
00
01
11
10
00
00
11
11
10
10
00
01
11
00
00
11
10
00
01
10
10
10
00
11
11
00
00
00
01
11
10
00
01
00
10
10
10
10
00
00
10
11
00
10
01
00
00
10
00
01
10
10
11
01
00
00
10
01
10
00
10
00
00
00
11
01
10
10
00
10
10
10
10
01
00
10
00
10
11
00
00
11
11
10
01
00
10
01
10
11
11
00
01
10
00
10
00
11
11
00
00
11
10
00
10
00
10
00
01
01
10
10
00
00
11
10
00
10
11
10
01
10
01
01
01
10
01
00
10
00
00
01
11
00
00
01
00
11
01
11
10
00
11
10
00
01
00
00
10
10
01
00
10
11
11
00
00
01
10
10
01
01
11
10
11
10
00
10
00
01
11
11
00
01
00
10
10
00
10
10
01
00
11
11
00
10
00
01
00
00
11
01
01
01
10
10
10
00
11
10
01
00
01
01
10
00
01
00
11
00
01
11
10
00
01
01
11
00
00
00
10
11
00
10
11
10
00
11
10
10
01
01
10
10
11
00
10
00
00
10
10
01
00
10
10
00
01
01
10
10
00
00
11
10
10
01
11
11
11
00
00
00
11
10
11
10
01
10
01
00
10
00
01
01
10
00
10
01
00
10
10
11
11
00
00
11
00
10
01
10
11
11
00
00
10
00
00
10
10
10
10
00
10
01
11
00
11
11
00
00
10
00
01
01
11
11
00
10
01
10
11
11
00
00
11
11
00
00
00
11
10
00
10
01
00
00
10
10
11
10
00
01
10
11
00
10
10
10
11
01
11
00
11
10
01
00
10
00
11
11
00
11
00
11
01
01
11
10
00
00
10
10
10
11
00
00
10
00
00
10
10
00
10
11
00
00
10
00
00
00
00
11
01
01
10
11
10
11
10
11
10
00
00
01
01
11
11
01
01
00
10
10
00
11
11
00
10
00
00
10
10
10
00
00
01
00
01
00
11
10
01
00
10
11
00
10
10
10
01
10
11
11
10
00
00
10
00
01
10
10
10
01
11
10
00
10
01
00
00
01
11
10
00
10
00
00
00
00
00
11
10
00
01
10
00
00
10
11
00
10
11
00
10
10
10
10
00
00
10
00
00
01
11
11
11
10
01
10
01
11
01
00
10
10
00
00
11
00
00
00
11
00
11
00
00
11
10
00
00
11
11
10
11
01
00
11
11
00
11
10
01
11
10
00
00
10
00
00
10
11
10
10
10
00
00
00
00
01
10
11
11
10
00
00
00
10
01
00
11
10
00
00
10
11
10
00
00
00
00
01
11
11
00
00
00
11
10
01
10
10
00
00
10
11
00
00
10
11
00
11
10
01
10
00
00
10
10
01
00
11
00
00
00
10
11
10
10
11
11
00
01
11
10
01
00
10
00
11
00
11
00
01
10
10
00
00
10
10
11
01
01
00
10
10
10
00
00
10
00
00
10
10
11
10
10
10
11
11
10
00
00
10
10
00
00
10
10
01
10
00
10
11
00
00
10
10
00
00
10
00
10
01
00
10
00
10
10
00
00
11
11
00
10
00
10
10
00
00
11
10
11
00
10
00
00
11
11
01
01
10
01
01
00
11
10
01
10
00
00
00
01
10
01
00
10
10
10
11
00
00
10
00
11
00
10
00
01
00
10
10
01
00
10
01
00
11
00
00
11
10
00
00
11
00
01
10
11
00
01
00
10
00
01
00
11
10
01
00
11
11
00
00
10
10
00
00
11
01
11
10
11
11
00
01
11
00
11
01
00
11
00
00
00
10
10
00
00
00
10
10
00
10
00
01
10
01
00
00
00
00
00
10
10
00
00
10
00
11
00
11
10
01
10
00
10
01
01
01
01
11
10
00
00
00
11
01
10
11
11
01
10
10
01
00
00
00
00
10
11
00
00
11
00
00
11
10
10
10
00
00
10
10
10
10
10
00
00
01
10
10
10
00
01
10
00
01
00
10
10
00
10
11
00
10
01
10
10
01
00
10
00
10
00
11
11
01
00
10
10
01
00
11
01
00
00
10
10
00
11
11
10
00
00
00
00
00
10
10
00
01
00
01
10
00
00
10
00
10
10
00
00
10
00
01
10
01
01
10
10
00
01
00
00
11
11
00
11
00
10
00
10
10
00
10
00
00
00
10
11
10
10
11
10
10
01
10
10
00
10
01
10
00
00
10
00
00
10
11
01
10
00
10
11
01
00
10
10
00
11
00
00
11
00
10
01
00
11
10
11
00
00
00
11
00
01
10
10
11
10
11
00
01
11
10
00
01
10
11
00
10
00
10
00
11
01
00
01
00
10
10
10
11
00
00
10
00
01
10
01
00
10
00
00
10
01
01
10
10
10
10
00
01
01
10
00
01
10
11
10
01
10
10
00
10
00
00
00
10
00
01
10
00
11
00
11
11
01
01
10
10
00
00
11
00
00
01
00
10
11
00
01
11
01
00
00
01
10
00
00
11
10
00
00
10
00
01
00
00
00
10
11
00
00
00
10
00
10
11
11
10
11
10
00
00
10
11
00
10
10
00
10
11
00
11
01
10
10
01
11
00
10
01
00
00
00
10
10
00
10
00
00
00
00
00
11
00
11
11
11
10
10
10
10
00
00
00
11
11
01
00
10
10
10
01
11
00
00
10
00
10
00
11
11
11
10
01
00
00
10
00
00
11
10
00
00
11
01
00
10
10
00
10
01
00
00
00
00
10
10
01
11
01
10
01
01
00
11
01
01
11
01
00
10
00
00
11
11
00
00
01
00
10
10
10
00
10
10
00
11
10
11
00
11
10
11
11
00
10
10
11
00
10
10
01
11
01
11
00
00
11
01
10
11
00
00
01
11
10
10
00
00
11
00
01
10
01
00
10
00
10
11
00
10
11
01
10
10
00
00
01
10
00
00
10
10
01
00
11
11
10
10
10
10
01
10
10
10
10
10
10
10
00
00
00
11
00
11
00
00
11
10
11
01
11
10
00
00
00
10
11
10
00
10
10
10
10
00
00
00
10
11
10
10
10
00
01
00
00
00
00
10
00
00
10
00
01
00
01
11
11
11
10
10
00
10
10
00
00
00
10
10
00
01
10
10
00
00
11
11
01
10
00
10
11
10
00
01
00
10
01
10
11
00
00
11
01
11
10
10
00
00
11
10
10
01
00
00
10
10
01
01
10
11
10
00
11
00
01
10
10
10
00
00
10
10
00
10
10
00
11
01
00
11
10
10
00
01
00
11
00
01
01
11
00
11
11
01
01
11
10
10
00
01
00
10
10
01
10
10
00
00
10
10
00
10
11
11
01
10
10
10
01
00
01
00
11
00
00
10
01
10
10
01
01
00
10
10
00
10
01
10
10
11
00
11
00
11
00
00
01
10
00
01
01
10
00
10
10
00
00
00
11
00
00
10
01
00
00
10
00
10
10
00
00
11
10
10
11
10
10
11
00
01
00
00
00
00
11
10
10
00
00
00
10
10
00
10
00
11
11
10
10
00
01
00
00
00
00
00
01
10
11
10
00
00
10
00
10
00
11
10
00
10
01
10
01
01
00
10
11
00
01
00
10
01
01
10
10
00
00
00
10
10
00
00
00
10
10
10
10
10
10
10
11
00
00
00
10
00
10
10
10
00
10
10
01
00
11
10
11
10
10
00
10
00
00
01
10
01
10
01
01
10
10
10
11
00
10
10
10
10
00
00
01
00
01
00
11
10
10
11
00
01
10
11
10
10
10
01
01
01
00
11
10
01
00
11
00
00
00
11
00
01
10
11
00
01
00
00
11
10
10
01
10
11
10
01
00
01
10
11
01
00
10
10
10
01
10
10
01
10
11
10
00
00
10
00
00
10
11
11
10
11
00
10
00
10
10
00
11
10
11
01
00
01
00
11
00
11
11
01
01
10
00
00
10
10
00
00
11
00
10
01
00
10
10
00
10
01
10
00
00
11
00
10
01
11
00
00
10
10
01
00
10
01
00
10
11
10
11
01
10
10
00
11
00
00
10
11
00
01
00
01
10
11
01
00
01
10
00
10
10
00
01
10
10
00
00
00
10
00
10
11
00
10
00
01
10
11
10
01
10
01
01
10
11
00
10
11
10
00
00
00
01
00
10
00
00
10
11
11
00
10
10
00
11
10
00
00
10
10
01
10
01
10
11
11
10
00
10
11
01
00
10
10
00
00
11
10
01
11
10
00
01
01
10
11
01
00
10
10
00
11
00
00
11
00
10
10
01
00
01
10
00
10
10
00
00
10
10
10
01
00
00
00
01
11
11
10
01
01
00
00
10
00
00
11
10
10
10
01
00
01
00
10
10
11
11
00
10
11
10
00
01
11
00
10
01
00
10
10
00
00
11
10
11
10
01
10
00
10
11
10
00
00
10
10
00
10
01
00
11
10
11
01
10
10
10
10
00
11
10
00
01
01
10
10
01
10
00
10
00
00
11
00
10
01
11
10
00
10
11
00
00
10
00
11
10
10
10
10
00
00
11
00
10
00
10
01
00
11
10
11
00
11
10
01
01
10
11
10
00
00
00
11
10
00
00
11
01
00
10
00
01
00
11
10
10
00
00
10
11
00
00
00
10
10
00
00
11
10
00
01
11
10
10
10
00
00
10
00
10
10
10
00
01
00
11
01
10
00
10
10
11
00
00
00
11
01
00
10
10
10
00
00
10
10
10
00
00
00
11
10
10
00
01
10
11
00
10
10
10
10
01
11
10
00
00
11
10
11
10
00
01
10
01
10
11
00
00
01
01
11
11
00
00
11
00
01
00
00
11
10
01
01
00
10
10
10
00
10
11
10
00
01
11
00
01
00
00
01
11
11
10
11
00
00
00
10
10
01
10
10
11
00
00
11
01
00
10
00
00
10
01
00
11
11
00
00
00
11
01
01
10
10
00
10
01
01
01
10
00
01
01
10
10
00
00
10
00
10
10
00
00
10
11
00
10
00
10
10
00
00
01
00
10
11
01
00
10
11
11
10
10
01
11
11
10
11
10
00
00
01
10
10
11
00
01
10
10
10
11
11
10
01
00
11
10
10
00
10
11
10
10
00
10
11
00
01
00
00
10
10
11
00
00
11
00
10
11
11
00
01
00
10
10
01
01
10
00
00
00
01
00
11
10
11
10
01
00
10
00
00
01
11
00
00
10
10
00
00
00
00
11
00
10
10
00
10
10
00
01
10
01
00
10
00
11
01
10
00
00
00
00
10
10
10
00
00
00
10
00
00
10
01
10
01
10
01
11
00
01
00
10
11
10
11
01
01
10
10
01
00
11
01
00
10
00
01
10
01
01
11
10
11
10
10
10
01
00
11
11
01
10
11
00
00
10
00
00
01
11
10
10
10
11
01
01
00
10
00
00
00
01
10
10
11
00
01
01
00
11
10
10
00
00
10
10
00
10
10
00
01
00
11
11
10
00
10
10
00
00
10
11
00
00
10
01
10
01
00
10
00
10
01
10
00
00
01
00
10
00
01
11
00
10
10
10
00
01
10
00
10
00
00
10
00
00
11
00
01
10
11
01
10
10
01
01
10
00
10
10
01
01
00
11
00
11
01
10
00
00
00
10
11
00
10
00
00
00
00
00
00
00
10
00
00
10
00
11
10
01
11
00
10
10
01
00
00
11
11
00
10
10
00
00
00
01
01
10
10
10
10
00
10
10
00
00
00
10
11
11
00
10
01
10
01
10
00
00
00
00
00
00
10
00
10
01
01
10
11
10
00
00
10
10
00
10
11
10
01
01
10
01
11
11
01
00
11
00
11
10
01
11
00
10
11
10
00
01
11
10
10
10
00
11
00
10
01
11
01
10
00
10
00
00
10
01
00
11
10
01
00
00
01
01
10
11
11
11
00
00
11
10
10
00
10
10
00
10
00
01
01
01
10
11
11
10
00
11
00
01
11
00
11
11
00
01
00
11
01
10
10
00
01
11
11
01
11
10
01
00
00
10
00
01
11
00
00
11
10
01
10
01
10
01
00
11
00
11
01
00
00
10
10
01
10
01
11
00
10
10
01
10
00
00
11
11
00
10
00
10
00
11
01
01
00
10
10
11
00
11
10
00
11
10
00
00
01
10
11
00
10
00
00
10
00
11
00
00
10
00
11
11
01
00
10
11
10
00
10
00
00
01
10
11
11
00
10
11
00
00
00
11
10
00
11
00
00
00
10
10
00
10
00
01
10
10
11
01
00
00
11
11
10
01
01
10
10
10
00
00
10
10
10
10
00
11
11
11
01
11
00
00
11
11
11
00
01
10
00
10
10
00
00
10
10
00
11
00
01
00
10
00
11
10
10
10
00
11
11
10
01
10
11
01
00
11
01
11
10
01
00
10
00
11
10
00
10
01
01
10
11
10
00
01
10
01
10
01
00
00
00
11
00
00
10
11
00
01
01
11
01
01
10
11
11
01
10
11
00
00
10
11
00
00
10
00
00
00
01
11
10
00
10
01
00
11
00
00
10
00
11
11
10
01
00
00
00
00
01
00
11
10
00
10
00
01
10
00
10
10
11
01
10
10
11
00
10
00
10
00
10
10
00
10
10
10
00
10
10
10
10
00
00
01
00
11
01
00
10
00
01
10
10
10
10
10
00
01
10
00
00
10
00
01
00
00
10
00
00
10
00
00
10
10
01
01
00
11
11
10
11
10
01
01
11
10
10
00
01
01
11
01
10
01
00
00
00
10
10
11
00
00
10
10
00
10
10
01
00
10
11
10
01
00
00
01
10
10
00
00
10
00
10
10
00
00
10
10
01
10
00
01
11
00
10
00
01
11
10
10
11
00
11
10
00
01
01
11
00
10
10
01
10
00
00
10
11
00
10
11
10
00
10
00
11
11
10
00
00
11
00
00
10
10
00
11
10
10
01
01
10
01
10
00
00
10
00
00
10
10
10
00
10
00
00
00
00
00
10
01
10
01
01
11
00
10
00
10
10
00
11
10
01
10
01
11
11
00
10
01
00
10
00
00
10
01
10
00
11
11
11
10
01
11
10
00
11
01
10
01
00
10
10
10
01
01
10
10
11
00
00
10
10
01
01
10
00
00
10
10
10
00
00
00
10
10
01
00
00
10
01
01
11
00
11
11
00
00
01
10
00
10
00
10
11
00
01
10
01
00
00
00
10
00
01
00
00
11
00
01
00
10
10
01
11
11
10
01
01
01
01
11
01
00
10
00
00
11
10
00
01
10
10
00
00
11
10
00
10
00
10
00
00
11
01
00
01
11
00
10
01
01
00
11
10
11
00
10
11
10
10
00
10
01
01
01
11
00
10
10
00
11
01
01
10
00
10
00
10
10
10
10
00
00
01
10
00
01
10
10
00
00
11
10
11
01
00
11
00
11
00
00
00
11
10
00
00
00
10
00
10
11
10
00
00
11
00
10
01
00
10
11
10
11
00
00
00
10
10
00
10
10
11
00
10
10
01
00
00
10
00
00
11
00
01
10
10
00
00
00
10
01
10
10
10
10
11
00
00
10
00
11
00
10
00
00
10
10
11
00
00
10
10
11
10
11
01
10
00
00
11
11
10
10
00
10
11
10
00
11
01
10
10
10
10
00
11
00
00
11
10
10
00
01
10
10
11
01
00
11
00
10
01
11
00
11
11
00
10
10
00
11
11
00
00
10
10
01
00
00
11
11
01
00
00
11
11
01
00
00
11
11
00
10
00
00
11
01
10
10
00
10
11
00
01
10
10
00
11
00
01
01
11
10
00
10
10
01
01
11
10
01
00
00
01
11
11
00
00
10
01
10
10
00
00
10
11
11
10
00
01
10
11
01
11
10
11
00
00
01
00
10
00
00
10
00
00
10
10
01
10
11
00
11
01
00
00
11
10
10
00
01
10
10
10
00
11
11
11
10
01
00
01
10
00
00
10
10
11
00
00
10
00
00
00
01
11
11
00
10
01
01
00
10
01
00
01
10
00
01
11
10
00
01
10
01
10
10
01
01
10
00
00
11
10
00
01
01
10
00
11
00
00
01
00
11
11
00
10
00
01
10
00
01
10
10
00
10
10
10
10
01
00
00
11
10
00
00
00
11
00
11
00
01
10
00
10
00
00
11
10
00
01
10
01
01
00
10
10
10
00
01
10
00
00
00
10
01
10
10
00
01
00
00
00
10
00
10
10
01
01
00
10
10
11
01
00
01
00
01
10
00
11
10
11
00
01
11
11
10
10
01
00
11
10
01
00
01
10
10
10
00
00
10
10
00
01
11
10
01
10
10
00
10
00
10
10
00
00
01
10
00
01
10
11
10
01
11
10
00
10
00
01
10
00
00
00
11
00
10
10
10
10
00
10
01
01
10
00
00
00
01
11
11
01
00
11
11
00
00
10
00
00
10
10
10
00
00
01
00
11
00
00
11
11
00
00
10
10
00
00
11
00
00
01
10
10
01
00
01
10
00
11
00
01
00
00
00
11
10
01
01
11
01
00
10
00
10
11
00
10
00
00
11
10
01
00
00
00
00
01
11
10
01
00
00
11
10
11
10
00
01
01
10
10
10
00
00
10
11
00
01
00
11
10
10
00
11
11
00
10
01
10
01
10
11
01
01
10
00
00
00
00
10
00
11
00
00
11
01
01
11
10
00
00
11
10
10
00
00
10
00
00
10
10
00
00
11
01
10
00
00
01
10
00
00
10
00
10
10
01
11
00
01
00
11
10
10
11
10
00
01
10
10
00
00
01
11
11
00
10
10
10
00
00
11
00
00
11
00
00
10
00
10
00
10
00
00
11
10
00
01
01
00
11
01
10
10
00
11
10
00
01
11
11
10
10
00
00
11
10
00
01
00
00
10
10
11
00
00
00
10
11
11
00
10
11
10
11
00
11
00
10
00
00
00
01
10
11
11
10
00
01
00
01
10
11
00
00
11
11
00
00
11
11
11
11
00
01
10
01
10
11
10
01
00
00
10
10
00
10
01
01
01
10
10
00
01
11
01
10
10
00
00
10
00
00
10
11
00
10
10
10
10
10
01
11
00
01
11
10
10
00
00
10
10
00
01
00
10
01
10
00
11
11
00
00
01
10
11
00
11
10
01
11
00
00
10
01
00
00
10
01
00
10
00
10
00
10
00
01
10
11
00
10
10
11
01
10
10
01
00
00
00
00
10
00
10
01
01
10
00
10
10
01
00
10
10
00
01
00
01
10
00
10
00
10
00
00
10
10
10
00
10
00
01
11
01
01
10
00
00
00
01
11
10
10
00
00
01
01
10
11
01
00
00
10
01
00
10
10
00
00
01
10
10
10
10
01
10
00
00
00
11
00
11
10
00
11
01
01
00
11
10
00
01
00
10
00
10
10
00
11
00
10
10
10
10
10
00
00
11
11
00
10
10
10
11
10
10
11
00
11
11
00
10
10
00
10
01
00
00
11
11
11
10
10
10
00
00
11
10
00
10
10
00
10
10
10
00
00
00
11
00
00
10
00
01
00
10
11
01
01
11
10
11
01
00
01
01
11
10
01
00
11
10
00
10
10
00
10
00
00
01
10
10
00
11
10
00
01
10
00
01
10
00
00
10
11
00
00
10
00
00
10
00
10
11
01
01
01
00
11
11
11
00
01
10
10
00
01
01
00
00
10
00
01
01
10
11
01
10
00
00
10
01
01
00
10
10
00
10
10
00
00
11
10
11
11
01
00
10
01
01
11
00
00
11
10
00
10
01
00
00
11
10
01
00
01
10
01
11
00
01
11
10
00
10
10
00
01
10
10
00
10
01
01
00
10
10
00
00
00
01
10
01
00
10
10
01
00
11
01
00
11
01
10
00
10
00
01
10
10
10
11
00
10
00
10
10
10
11
00
01
10
00
00
00
00
11
11
01
01
10
11
00
01
00
00
10
10
11
00
00
01
00
10
00
11
10
01
00
10
11
01
00
10
01
00
11
01
10
10
00
00
01
00
10
10
00
10
10
11
11
01
00
10
00
10
00
00
10
10
10
11
10
00
10
00
00
10
01
11
10
11
10
00
00
11
00
00
10
10
01
10
00
10
01
10
11
11
00
00
10
00
01
01
11
00
01
11
11
00
00
10
00
10
00
10
10
10
00
10
01
11
00
01
10
00
10
01
00
00
10
11
11
10
10
01
10
01
00
10
11
11
10
01
00
00
11
10
10
10
10
01
01
11
00
01
10
10
10
01
00
11
00
00
01
10
10
11
10
01
00
10
00
01
10
10
01
00
10
01
10
00
11
00
01
10
11
10
10
00
10
10
11
00
01
10
10
10
11
10
00
01
11
01
10
00
01
01
01
00
10
00
11
01
00
10
11
01
01
11
10
00
00
11
01
01
11
10
11
01
10
11
10
01
11
00
10
10
01
11
00
11
11
11
11
00
10
11
00
00
10
00
11
00
00
10
00
10
01
00
01
00
10
10
11
00
11
10
00
10
10
00
00
00
10
00
11
00
10
11
10
11
11
10
11
10
00
00
10
00
00
11
10
01
01
10
00
01
00
00
01
11
10
00
10
00
01
00
00
10
00
11
10
00
00
10
10
10
01
00
01
10
11
10
10
11
01
11
11
10
01
00
00
00
10
11
01
11
01
00
00
11
00
00
10
10
00
10
10
00
10
10
01
00
00
10
11
10
10
11
01
01
00
01
11
10
00
11
10
11
00
00
10
11
10
00
00
10
11
00
11
11
10
00
00
10
00
01
10
00
00
00
10
00
01
10
01
00
00
01
10
10
01
00
11
10
00
00
01
00
10
01
01
11
11
11
00
00
00
10
11
11
01
00
01
10
00
00
10
11
10
10
00
10
00
11
11
10
00
10
10
11
01
01
10
10
00
00
00
10
01
00
01
10
11
00
10
11
00
00
11
10
11
11
00
01
10
10
10
11
01
01
00
00
00
01
00
10
10
01
00
00
10
11
10
10
01
00
11
10
01
00
10
00
10
10
00
01
10
01
00
10
00
00
00
11
10
11
00
10
10
00
10
01
00
10
00
00
00
11
11
00
00
10
10
10
00
10
00
01
10
00
11
10
00
10
10
00
01
10
10
10
00
11
01
00
00
10
11
10
10
10
01
00
00
00
01
00
00
11
10
10
00
10
00
11
00
11
00
00
10
00
10
10
11
00
10
11
01
00
10
00
01
10
10
10
10
00
10
01
00
01
10
00
00
00
10
11
10
01
11
01
11
11
10
11
10
00
10
10
01
01
00
11
00
01
11
10
10
10
01
00
00
11
11
10
10
00
00
00
11
11
01
00
00
01
00
00
00
10
10
01
01
10
10
00
01
00
00
01
11
10
10
00
00
10
11
00
10
10
00
00
10
11
10
11
10
10
10
11
10
11
10
00
10
00
00
10
11
00
10
01
10
01
01
01
00
10
00
11
00
00
10
01
11
10
00
10
10
11
00
00
00
10
11
00
01
00
11
10
10
00
00
10
10
10
11
00
11
10
00
00
11
11
00
10
10
10
10
11
00
00
10
11
11
10
00
00
00
11
10
00
11
00
10
11
10
10
10
11
00
00
01
10
11
01
10
00
10
00
00
01
10
01
11
10
10
00
00
11
11
00
00
11
11
10
01
01
00
00
10
00
10
11
01
01
10
01
11
00
10
10
01
00
00
11
10
00
10
01
00
10
00
00
00
10
10
00
00
00
00
10
10
10
11
10
01
01
00
00
11
10
11
00
10
00
10
00
11
10
01
10
01
00
00
11
11
00
00
10
11
00
01
01
10
10
10
10
00
00
11
10
00
11
10
10
11
10
00
10
11
00
00
10
10
11
00
00
10
01
00
11
00
01
01
10
00
00
10
11
10
01
00
11
10
00
10
10
00
01
00
11
10
11
10
10
11
00
01
10
01
10
10
01
00
01
10
10
00
10
10
01
00
10
11
10
10
00
01
00
00
10
00
10
11
00
10
10
01
11
10
11
01
11
00
01
10
10
10
00
00
10
10
01
00
00
10
00
10
00
01
00
11
11
01
00
00
10
00
01
10
11
10
00
00
11
00
01
10
10
00
00
00
01
00
10
01
00
10
10
10
00
10
10
00
10
00
10
10
10
00
01
00
01
00
10
00
01
01
10
11
01
01
10
00
10
00
10
10
00
10
10
00
10
01
10
00
10
00
00
01
00
10
10
11
10
01
10
00
00
10
01
00
00
10
00
01
10
10
01
10
00
11
10
00
01
10
11
00
10
00
11
01
10
10
01
10
00
11
00
00
10
00
11
11
01
11
01
00
00
00
00
10
10
00
00
10
10
11
11
00
01
11
00
11
10
01
11
00
00
01
10
11
00
11
00
01
10
00
10
01
00
01
10
10
00
00
00
00
01
11
00
10
00
10
10
10
11
01
11
01
01
10
10
00
10
10
01
00
01
10
10
10
00
10
00
00
11
00
10
00
10
11
00
00
01
10
10
11
00
00
10
10
00
00
10
00
00
11
11
11
11
11
01
10
00
10
10
11
00
10
10
00
00
10
01
10
10
01
10
00
10
00
00
10
10
10
11
00
00
10
10
10
00
00
00
10
00
01
10
00
11
11
11
10
10
11
11
11
10
00
01
01
10
11
11
00
10
11
00
00
10
10
01
00
11
10
11
00
11
10
00
01
00
10
11
11
01
00
10
01
00
10
01
11
11
00
11
00
01
00
11
11
00
01
10
01
00
11
11
01
00
10
10
11
00
01
00
10
10
00
10
00
00
11
00
01
00
10
00
11
11
11
10
00
11
01
10
00
01
11
11
00
00
10
11
00
00
00
10
01
00
11
11
10
01
11
00
11
10
00
01
10
10
10
11
01
00
10
00
01
00
00
10
00
10
10
00
11
01
01
00
10
10
00
10
10
10
00
00
10
00
11
01
01
01
00
00
00
01
00
01
10
01
00
11
00
11
01
00
11
11
00
10
10
01
10
10
01
00
00
01
11
00
00
11
10
10
00
10
00
11
00
11
10
01
00
11
01
10
00
10
01
10
10
00
11
01
10
10
00
10
01
11
11
01
01
10
01
10
11
00
00
10
10
00
00
00
00
00
10
10
01
11
00
00
11
10
11
00
00
10
10
11
00
00
11
00
10
10
10
10
10
11
00
00
00
11
11
11
01
01
11
10
10
00
10
00
01
11
11
11
00
11
10
00
00
10
10
00
01
11
11
00
00
10
00
00
00
00
10
10
01
10
10
00
10
00
10
00
00
10
10
11
10
01
00
10
00
10
10
10
11
00
00
10
00
00
00
01
11
11
00
01
11
10
10
11
00
00
01
10
00
11
10
00
01
00
11
00
01
00
11
10
00
10
11
00
01
00
10
00
10
11
00
01
11
11
00
10
10
10
11
00
00
00
10
01
10
10
00
00
11
00
11
00
10
10
00
10
11
10
01
10
00
10
00
01
10
00
11
01
00
11
11
00
00
00
01
11
10
01
00
10
11
10
00
10
01
01
00
10
10
11
00
00
10
10
00
00
01
11
11
10
10
00
00
00
11
10
01
00
10
00
10
10
10
00
01
00
00
10
00
10
00
00
10
11
10
00
00
00
10
10
00
00
10
11
01
11
10
00
00
00
01
00
11
00
00
00
10
00
00
00
10
10
10
11
01
01
10
10
11
00
10
00
01
11
11
00
00
10
01
00
10
00
01
00
10
00
00
10
01
11
10
00
00
11
10
01
11
00
00
10
00
00
00
11
10
10
00
01
01
11
00
01
01
01
10
00
11
00
00
10
00
00
11
10
00
10
10
11
00
11
10
10
00
10
10
00
10
10
00
00
00
10
11
11
11
10
10
00
10
10
10
01
00
01
00
11
10
01
01
11
00
01
00
11
00
11
01
00
11
10
10
00
00
10
01
10
10
10
00
00
10
00
00
10
11
10
11
01
10
00
11
00
10
01
00
10
11
10
00
10
10
00
00
00
00
10
01
10
10
00
00
00
11
01
01
10
11
00
01
00
10
00
00
10
10
11
00
10
00
11
10
01
10
00
00
11
00
10
11
01
11
01
01
10
10
11
10
11
00
01
10
01
00
01
11
10
10
00
11
10
10
00
10
11
11
00
01
10
11
10
00
10
00
11
10
10
00
11
10
11
11
10
10
00
01
00
01
11
10
10
00
10
10
11
01
10
11
00
10
10
00
00
11
01
00
00
01
10
00
10
11
10
00
00
10
00
10
00
00
11
10
10
10
10
10
10
11
10
00
01
10
01
00
00
10
10
01
00
11
00
10
10
01
10
00
00
10
00
10
10
10
10
00
01
10
11
00
01
00
11
00
01
10
10
00
00
01
10
00
00
10
10
10
00
11
10
10
01
10
10
00
01
00
10
10
00
01
10
11
00
01
00
00
01
10
11
00
00
10
00
10
11
01
00
00
10
00
01
00
00
11
10
11
10
10
00
01
01
11
00
00
00
00
11
10
01
00
00
11
10
10
00
11
10
10
00
10
10
00
00
00
01
10
10
01
00
10
10
10
00
01
00
10
01
00
01
01
10
11
00
11
00
01
10
01
01
10
10
10
01
00
11
10
00
00
10
01
10
00
00
10
00
10
10
00
01
00
10
10
00
10
00
10
00
11
00
11
01
11
10
01
00
01
10
10
11
00
11
01
00
10
11
00
00
11
10
00
10
10
01
01
11
11
00
10
11
10
10
00
10
10
00
10
01
10
10
01
10
00
11
10
00
10
10
00
01
10
10
00
10
00
10
00
10
00
10
01
01
00
00
10
01
10
10
00
00
01
11
00
10
01
01
11
00
10
10
00
01
00
10
00
11
10
10
11
11
00
00
10
00
11
00
00
11
10
00
00
10
10
01
10
00
00
00
10
10
00
00
00
10
00
00
01
10
01
00
00
11
11
01
11
01
11
01
10
00
00
10
10
00
00
11
10
00
10
00
00
10
11
01
00
11
11
01
01
10
11
10
10
01
00
10
00
11
10
10
00
01
00
01
00
10
10
10
10
01
00
11
10
01
00
10
00
00
00
10
10
00
11
01
01
00
10
11
10
11
01
10
10
11
00
01
10
10
10
01
00
10
01
01
00
11
11
01
00
11
01
01
10
10
10
01
00
10
01
01
10
01
00
11
10
00
00
00
10
10
10
00
01
00
01
01
01
10
00
00
11
00
01
00
10
00
01
01
00
00
11
10
00
10
00
00
01
10
10
00
01
11
01
00
00
11
10
01
10
00
00
11
00
00
10
10
00
10
10
10
00
00
10
00
11
10
01
00
10
11
10
00
10
10
11
00
00
01
00
10
10
00
01
10
01
00
00
01
00
00
10
01
01
00
10
11
01
00
01
00
10
01
01
10
00
01
10
00
00
11
11
11
00
00
00
00
10
11
00
00
01
10
00
00
10
11
00
10
10
10
01
00
10
00
00
10
01
10
10
00
00
00
01
10
10
11
10
00
01
10
00
00
10
11
10
00
00
10
01
11
10
00
00
10
01
00
11
10
00
11
10
10
10
11
00
10
01
01
10
10
10
10
01
00
00
11
10
01
10
10
00
00
00
00
00
01
10
10
10
10
01
10
00
10
10
01
00
10
11
01
01
10
10
01
01
10
10
00
00
00
10
00
10
10
00
01
00
00
10
00
10
00
10
10
10
00
00
10
11
01
00
10
10
10
10
10
00
00
01
10
00
00
01
11
10
11
10
00
00
00
10
11
00
00
00
00
00
11
10
10
01
00
00
01
10
11
10
11
00
01
01
10
00
00
11
00
10
10
01
10
11
11
00
01
00
11
10
11
00
00
11
11
00
01
10
00
00
10
10
00
00
11
00
11
00
00
00
10
11
00
00
10
00
10
10
11
00
01
00
10
00
00
10
10
10
00
00
11
00
11
00
00
11
10
10
00
01
10
11
10
10
00
10
00
10
10
00
10
10
00
01
10
11
11
00
11
10
10
10
10
00
01
11
00
10
10
10
00
01
10
01
10
10
11
11
00
01
10
10
01
11
00
00
10
10
11
10
00
11
00
01
00
11
10
01
01
00
11
10
11
00
00
00
00
11
11
01
00
11
10
01
00
10
10
00
00
10
01
00
00
10
11
10
10
10
10
01
00
01
10
00
00
10
10
00
00
10
00
00
00
10
00
01
11
10
00
10
01
10
10
00
01
11
10
10
00
00
01
00
00
10
11
10
00
10
10
00
10
11
11
00
00
00
00
11
00
01
10
10
00
11
00
00
10
10
00
10
10
00
00
10
00
00
00
00
10
10
10
00
01
10
01
10
00
11
10
00
00
11
00
11
00
01
00
11
00
00
11
11
10
10
00
00
01
01
10
00
00
11
10
10
10
10
00
01
10
00
11
00
00
10
11
01
10
01
00
10
11
00
00
00
10
10
01
00
11
10
10
00
01
00
11
00
10
10
00
11
01
00
10
10
00
01
11
00
11
10
01
00
00
00
00
10
10
11
00
11
00
01
01
10
01
00
10
00
10
11
00
01
10
10
10
10
00
00
00
10
00
01
10
00
01
10
01
01
00
01
10
10
00
00
10
10
00
00
10
11
11
01
10
00
00
01
00
10
00
00
01
01
00
11
00
00
10
10
10
00
10
10
00
11
10
00
00
01
00
10
11
00
10
11
11
10
00
10
01
01
01
00
10
10
11
11
00
00
01
10
10
00
00
10
10
00
10
01
00
00
10
10
10
10
01
10
01
00
01
10
10
10
01
00
11
00
11
00
01
10
00
00
10
10
00
00
11
00
00
11
10
10
10
00
10
10
00
10
00
01
00
10
10
00
00
11
00
00
11
01
10
11
01
01
01
11
10
11
11
01
01
00
10
10
10
00
00
10
10
11
00
00
11
10
00
00
11
10
10
11
00
10
11
00
10
10
00
00
11
10
00
11
01
00
11
00
01
10
10
01
11
11
00
00
10
11
00
00
10
11
00
01
10
10
10
00
00
10
10
00
11
01
11
00
11
10
11
00
10
11
00
01
10
10
01
11
11
00
10
00
00
10
10
11
00
01
11
01
01
10
10
10
00
11
10
00
00
01
00
01
10
01
10
11
00
01
10
10
01
00
10
11
00
00
11
11
11
11
00
00
01
11
10
11
00
10
10
10
10
00
11
10
11
00
10
10
00
10
10
00
00
01
11
10
01
01
10
10
01
11
10
10
10
00
10
01
00
10
10
10
00
10
11
11
01
01
10
01
10
10
00
01
01
10
10
00
00
10
01
00
10
00
10
00
00
11
11
01
01
00
00
00
11
10
10
10
00
00
00
00
10
11
10
11
01
00
11
10
01
00
10
11
01
00
11
00
01
10
00
11
01
00
10
00
00
00
10
11
00
00
01
11
10
10
00
01
01
10
10
10
11
10
11
01
10
01
00
10
10
10
00
00
00
11
10
11
00
10
10
00
00
00
10
11
01
00
10
10
00
00
11
00
11
00
10
01
10
00
00
01
10
10
00
01
00
00
11
10
10
10
01
00
00
00
10
10
10
00
01
10
10
11
01
11
01
00
10
00
00
10
11
01
01
00
01
11
10
00
10
10
10
10
01
00
10
00
00
11
00
00
00
11
00
00
01
00
10
10
00
10
01
01
00
10
00
10
01
10
10
00
00
00
00
00
00
00
11
10
00
01
10
00
00
00
10
10
10
00
01
11
11
10
10
00
11
10
11
00
00
10
10
00
00
11
10
10
01
01
01
10
01
00
10
10
10
11
01
00
10
00
00
00
10
01
00
10
10
10
00
11
00
01
00
01
10
10
11
01
11
11
00
01
01
00
00
10
10
00
00
10
10
01
10
10
00
10
10
11
00
10
00
01
10
00
10
11
10
01
01
11
10
11
01
00
10
10
10
01
00
10
10
00
00
00
01
11
10
10
00
00
00
10
10
10
01
01
10
01
01
00
01
10
00
00
11
11
00
01
10
00
11
00
01
00
10
01
10
11
10
11
00
10
01
10
01
00
10
10
00
00
00
10
00
01
00
10
00
10
00
00
01
11
01
00
11
01
10
10
00
10
11
10
00
10
11
10
00
00
00
00
10
11
10
10
11
11
00
01
11
10
10
00
01
10
11
11
00
01
00
10
11
01
01
00
01
10
10
00
01
00
10
10
01
00
10
10
11
10
10
10
01
00
11
00
00
11
00
00
10
00
01
10
11
00
10
00
11
10
00
00
10
00
01
00
10
00
00
11
10
01
11
10
10
00
10
10
00
00
10
10
10
11
00
10
00
00
00
10
00
01
00
10
10
10
10
01
00
00
00
00
00
10
00
00
10
00
10
00
00
10
11
00
01
00
10
11
10
00
00
11
10
11
10
00
11
00
10
10
01
00
00
10
00
11
00
00
10
01
11
01
01
11
11
11
01
00
00
10
10
00
10
10
11
00
00
10
01
00
10
10
00
00
00
10
10
10
00
10
10
10
01
00
00
00
10
10
10
01
00
00
00
11
00
10
10
00
01
01
10
11
00
01
01
10
00
00
00
10
10
11
10
10
01
10
10
01
10
01
00
11
01
11
01
10
11
10
10
00
00
11
10
00
00
11
10
10
10
01
11
01
10
10
11
10
00
10
11
10
00
00
00
00
10
11
10
10
01
01
00
00
00
11
10
00
11
01
00
00
10
10
10
00
10
00
11
00
10
00
01
01
00
00
11
11
01
00
11
11
11
11
00
10
10
00
00
00
11
10
01
10
00
10
10
00
01
10
11
10
10
01
01
00
00
11
10
01
00
01
10
10
00
01
11
10
00
00
10
01
01
10
10
10
01
00
01
00
10
10
10
00
10
10
00
10
00
01
10
01
01
01
11
00
00
00
11
10
00
00
10
00
10
11
01
00
01
11
00
11
01
10
10
00
00
10
10
11
10
11
00
10
11
00
10
00
00
11
01
11
00
10
10
10
00
11
10
00
10
11
11
10
00
10
11
00
01
00
00
10
10
10
00
01
11
00
10
11
11
10
01
10
00
11
10
10
00
01
10
10
10
10
10
11
00
00
00
00
01
10
01
10
10
00
00
11
01
00
01
00
10
10
01
10
10
00
00
00
10
11
01
10
00
00
10
10
11
00
11
00
01
01
10
11
00
00
10
00
00
10
10
00
10
00
00
11
01
00
11
10
10
01
10
10
01
01
10
00
00
00
10
01
00
11
11
01
11
00
11
00
01
10
01
00
10
11
00
11
11
11
00
01
10
01
00
10
11
00
01
10
00
10
00
01
10
10
00
10
01
10
10
00
00
11
10
10
10
01
10
01
00
10
01
00
10
01
10
00
10
10
00
00
00
10
10
01
11
10
00
00
01
10
10
00
10
00
10
11
00
10
10
10
01
10
00
00
10
11
01
11
11
10
10
11
01
00
10
10
10
00
10
00
01
10
10
10
00
01
11
11
00
11
11
00
00
01
00
10
00
00
01
10
10
10
10
00
00
10
00
01
00
00
10
00
10
00
00
11
00
00
10
01
00
01
00
00
11
00
00
11
11
11
10
11
00
00
01
10
01
00
10
01
10
10
01
00
11
00
11
11
10
00
00
10
00
10
11
01
00
01
11
00
01
00
11
10
10
01
10
00
10
00
01
00
10
11
00
11
01
00
01
01
01
10
10
01
00
10
10
10
00
01
10
01
11
10
10
11
01
10
10
00
10
11
10
11
00
00
10
01
10
00
00
10
10
11
00
00
01
11
11
00
00
10
10
11
10
00
00
10
01
11
00
10
10
00
01
01
10
01
10
10
01
10
00
01
00
10
00
11
10
00
00
11
11
11
11
11
01
10
00
00
00
11
00
10
11
11
00
01
10
10
11
00
10
10
01
01
10
10
10
00
00
10
11
00
01
01
11
10
11
10
11
00
00
10
10
11
00
10
10
01
00
00
11
01
00
00
10
00
10
10
00
00
10
00
00
10
10
00
01
10
01
11
10
10
01
11
11
10
01
00
11
00
10
10
01
11
00
10
10
10
00
10
00
00
11
00
11
01
00
00
10
11
00
10
00
01
11
01
10
11
00
11
10
00
00
10
10
00
11
11
10
10
00
11
00
11
00
11
11
11
10
00
00
11
00
01
11
11
10
01
00
00
00
11
10
00
10
10
10
11
11
11
10
01
10
11
01
00
11
10
10
00
00
01
01
10
11
00
10
00
01
10
01
00
11
01
11
00
01
10
10
10
01
00
10
10
00
11
11
10
01
00
11
11
00
11
10
10
10
11
00
01
00
00
10
00
00
10
10
00
01
00
00
00
00
01
10
10
11
11
00
10
11
11
10
01
10
00
00
11
00
01
00
10
10
00
10
10
01
00
00
10
00
01
10
00
01
00
01
11
10
11
10
11
10
01
00
10
01
00
00
11
11
01
11
10
10
00
00
01
10
10
10
00
11
00
00
11
10
10
00
10
10
01
11
10
01
11
00
00
10
00
00
10
11
10
01
00
11
00
11
11
00
00
10
00
01
00
10
10
00
00
10
11
00
11
01
10
01
11
10
10
01
01
10
10
00
11
11
10
10
11
00
10
10
00
01
00
10
11
00
10
01
00
00
10
10
00
00
10
01
00
11
10
10
01
00
10
00
10
10
01
00
10
10
10
00
01
10
10
11
11
01
00
10
10
10
01
00
10
10
10
00
00
00
01
00
01
10
10
11
10
10
11
11
00
10
10
10
01
01
10
11
00
00
10
11
01
10
10
11
00
00
00
01
11
11
00
00
10
11
00
11
10
10
10
00
10
00
00
11
00
10
00
10
10
10
10
00
11
11
10
00
00
00
10
10
00
11
00
01
01
00
10
00
00
01
10
01
00
10
10
10
11
10
11
11
00
01
10
00
01
11
11
00
10
00
10
10
11
00
00
10
10
10
00
10
01
00
10
10
11
00
00
00
01
01
11
10
11
11
01
00
10
10
00
00
10
01
00
10
00
00
11
10
00
00
10
10
10
11
00
00
00
00
00
00
00
00
01
10
10
01
10
11
11
00
00
01
10
00
00
10
10
00
01
11
00
00
00
10
00
11
10
10
00
00
10
10
00
00
10
11
01
10
10
10
00
10
00
01
11
00
01
10
00
10
10
10
00
00
10
01
00
00
10
00
10
10
10
10
01
01
10
00
01
10
01
00
10
00
00
00
01
10
10
00
01
10
10
00
00
11
10
11
01
11
00
00
10
01
00
10
10
01
01
11
10
10
10
01
00
10
00
10
00
01
00
00
10
01
01
10
11
11
11
00
00
00
00
11
10
00
00
10
00
00
01
11
00
00
11
01
10
01
00
11
10
00
01
00
11
01
00
11
01
00
00
10
11
00
01
11
10
01
00
10
00
00
11
10
00
00
11
10
00
01
11
10
00
11
10
00
00
00
10
00
10
01
11
00
10
00
01
10
11
10
11
11
01
10
00
00
11
10
00
10
11
10
10
10
00
00
10
01
10
10
01
10
00
11
00
00
11
11
00
00
10
10
00
01
10
10
10
10
10
10
01
00
10
10
00
11
00
00
10
01
00
00
00
10
00
00
11
10
00
01
11
00
01
00
11
00
10
10
01
00
10
11
10
01
01
00
01
00
01
10
10
01
10
10
00
10
10
00
11
00
00
10
00
10
11
00
00
11
00
10
00
00
01
10
00
10
10
10
01
01
11
00
10
10
10
10
10
00
11
11
00
00
00
01
00
00
00
10
01
00
10
00
00
10
00
00
00
00
10
11
11
11
00
01
01
11
10
00
10
11
00
00
11
10
01
11
11
00
01
10
10
00
11
10
10
10
00
10
01
00
11
01
10
00
01
00
01
10
10
00
00
10
00
10
10
11
10
10
10
10
00
00
00
00
01
10
00
10
00
10
11
00
10
11
01
11
01
00
00
11
11
10
01
00
11
01
00
00
01
10
10
10
10
11
10
00
00
01
00
10
01
01
11
00
00
11
00
01
10
00
00
00
10
10
00
01
10
11
01
00
01
11
00
01
00
10
00
10
10
10
00
00
00
10
01
00
10
10
10
10
00
10
10
00
00
00
10
11
01
10
00
10
01
10
10
01
00
10
11
00
10
01
10
00
10
11
01
10
10
10
11
01
11
11
11
00
01
10
10
10
00
00
01
00
10
10
10
00
10
10
00
00
10
00
10
01
11
10
00
10
00
01
00
10
10
10
01
00
10
10
10
00
10
00
01
01
00
00
10
01
00
00
10
10
10
00
11
01
00
00
00
11
00
00
10
01
10
10
01
10
00
00
00
01
10
00
10
10
00
11
00
10
10
01
01
10
10
10
01
10
01
00
10
01
00
11
10
10
01
00
10
01
00
10
11
10
11
10
00
00
00
10
10
10
01
00
11
10
10
01
00
10
10
01
00
11
10
11
11
00
00
10
10
11
00
00
11
10
11
11
00
01
00
01
00
11
10
00
00
00
11
10
11
00
11
10
01
01
10
11
10
00
00
01
11
01
00
11
00
10
00
01
01
10
11
00
11
10
00
11
10
00
10
00
00
00
00
10
10
00
00
00
01
01
00
01
01
10
01
00
11
00
00
10
11
00
01
11
10
00
01
01
10
00
00
00
11
10
00
01
10
10
00
01
00
00
11
11
00
01
11
00
10
11
00
01
10
11
00
10
10
00
00
10
01
00
11
11
00
10
00
01
11
10
11
11
00
00
11
00
00
11
01
10
00
01
10
10
00
01
10
10
10
11
00
00
10
10
01
11
10
11
01
00
01
11
01
00
10
10
11
10
00
00
11
01
10
10
00
00
00
11
11
01
10
10
00
11
11
10
10
00
10
00
00
10
00
11
01
00
00
10
11
11
10
00
00
11
11
00
11
01
10
10
01
10
11
00
00
01
10
11
11
01
01
10
11
10
00
00
01
00
10
00
00
10
10
00
01
01
10
00
10
00
00
10
00
10
10
00
11
10
10
10
10
10
00
00
00
01
11
00
01
00
10
00
01
00
10
10
10
10
10
01
10
10
10
11
00
10
00
11
10
00
11
10
01
11
01
11
00
10
10
00
00
00
10
11
00
01
00
10
00
01
00
11
10
00
10
00
10
11
10
00
00
10
11
00
10
11
10
10
00
00
00
10
00
01
10
10
10
01
00
10
10
00
10
00
01
00
10
11
11
01
10
10
01
00
11
00
00
11
10
00
11
11
01
11
10
10
01
00
00
00
10
10
10
00
00
10
01
00
10
11
01
11
11
00
00
10
11
01
11
11
00
00
10
01
10
11
01
00
00
10
00
10
01
00
10
01
00
11
10
10
11
10
11
11
00
00
10
10
10
00
00
01
00
11
10
11
01
10
10
00
11
10
00
00
10
10
00
00
10
00
00
01
11
00
01
11
00
10
01
01
01
11
00
10
10
01
00
01
00
10
01
01
10
10
10
00
00
11
10
11
00
00
10
10
00
11
10
01
10
01
01
10
01
00
00
11
10
01
00
10
10
00
10
10
10
01
01
10
00
00
11
10
11
11
01
01
11
10
00
01
10
10
00
00
10
11
00
00
11
10
01
10
00
10
10
10
10
00
01
01
10
10
01
10
01
11
10
10
10
01
00
00
11
11
10
00
01
00
00
01
10
11
10
10
00
10
10
00
11
10
01
10
00
00
01
10
10
00
10
01
10
01
00
01
10
00
10
00
10
01
00
10
10
00
01
10
01
01
00
11
10
10
01
10
11
01
11
10
01
10
10
00
10
10
00
00
10
11
00
01
01
10
10
10
01
10
00
01
10
10
10
10
11
00
00
11
11
00
01
01
01
00
01
11
10
11
01
11
00
10
10
01
00
11
10
00
10
10
00
00
10
10
00
00
00
11
00
10
10
00
10
11
10
00
00
11
00
10
00
10
00
00
01
11
11
00
01
00
10
11
00
01
10
00
00
10
10
00
00
11
11
01
11
10
10
01
00
11
11
01
00
10
11
00
10
00
00
10
01
10
10
10
00
10
10
10
01
10
10
00
00
10
11
10
01
00
10
11
00
11
10
10
01
10
00
00
10
10
10
11
00
00
00
10
10
10
10
01
10
10
00
01
00
10
00
01
11
10
00
01
10
00
00
10
10
00
10
11
00
01
00
00
11
01
01
00
00
10
00
10
00
10
10
01
00
10
01
00
00
00
11
11
00
11
10
01
01
11
00
10
11
00
10
00
00
10
01
01
10
00
00
10
11
00
10
00
10
10
10
01
01
00
01
10
00
10
10
10
00
10
10
10
10
00
01
01
10
00
10
00
00
10
00
00
11
00
10
10
01
11
11
11
00
01
00
10
00
00
10
00
00
00
10
10
10
00
10
10
00
11
10
01
10
10
01
00
01
11
10
00
01
00
00
00
10
10
00
00
11
11
11
10
00
01
10
11
00
11
10
00
00
01
00
10
10
00
01
10
11
10
11
00
10
01
10
11
00
00
01
10
00
11
10
00
10
10
00
11
10
01
00
11
10
01
01
01
10
11
11
10
10
10
10
00
00
00
11
01
01
00
11
01
10
01
01
01
00
10
11
10
01
01
10
10
00
10
10
00
00
01
10
11
10
00
10
00
00
10
01
11
10
01
00
00
00
00
01
10
10
01
00
10
10
10
00
10
10
11
10
10
00
00
11
11
00
01
00
10
10
10
00
10
11
10
10
10
11
11
00
00
10
01
00
11
10
00
10
00
00
00
00
00
11
10
10
10
01
11
10
00
10
00
00
00
10
11
10
01
01
00
10
01
11
11
00
00
10
00
10
01
10
10
01
00
01
10
10
00
00
10
00
00
10
01
00
10
01
01
01
00
00
10
00
10
00
00
00
00
00
10
10
11
01
01
10
00
00
01
11
01
01
00
01
10
00
11
11
10
10
00
01
10
01
00
10
00
11
11
00
10
11
10
11
10
00
11
10
10
00
10
10
11
01
00
10
10
00
00
00
00
10
00
00
00
11
10
01
11
10
00
00
00
11
10
00
10
10
00
00
00
00
11
10
10
11
01
11
10
11
00
11
10
00
00
11
10
00
10
10
00
11
00
01
10
10
10
10
10
00
11
11
10
10
10
00
01
10
00
10
00
01
01
10
11
01
11
00
00
10
10
10
01
10
11
00
11
10
01
00
10
00
00
01
10
01
10
01
10
00
00
00
10
10
00
00
00
00
00
00
00
10
10
00
00
11
01
01
11
00
00
01
10
10
00
11
01
10
10
00
10
00
00
10
10
10
10
10
00
00
00
00
00
00
10
01
10
01
10
11
01
11
00
01
00
10
01
00
10
10
00
10
01
00
00
10
00
11
01
00
11
10
01
00
00
11
10
10
00
10
00
00
00
00
10
10
10
01
11
10
10
01
11
00
00
01
00
01
11
10
00
10
00
00
11
10
10
11
10
00
11
10
10
11
00
00
11
00
00
00
11
10
10
10
10
01
10
10
10
00
01
00
10
01
00
11
10
01
00
00
10
01
00
10
10
00
10
00
10
01
10
11
00
10
01
01
10
00
00
10
10
10
10
00
10
11
11
00
01
00
00
11
10
10
11
10
01
11
01
01
01
10
10
01
01
11
01
00
11
10
10
10
01
01
01
11
10
00
00
00
00
10
11
00
01
01
00
00
10
01
00
00
10
10
00
00
01
10
11
00
11
00
01
10
10
11
00
10
00
00
10
10
00
00
00
01
10
11
00
11
00
00
10
10
10
10
00
10
01
11
11
01
10
00
10
00
01
10
00
10
10
01
11
11
00
00
10
00
10
01
10
10
01
11
01
11
01
10
11
11
01
00
10
11
00
01
01
00
11
00
00
10
00
01
00
00
10
00
01
00
10
10
10
10
01
11
11
00
10
10
01
00
10
01
00
10
00
00
10
10
11
00
10
10
01
00
11
10
11
11
10
11
01
01
01
00
10
00
00
10
10
10
01
00
01
00
00
10
10
00
00
10
10
00
01
10
00
00
10
00
10
01
00
11
00
11
00
01
11
00
10
10
01
01
11
10
10
00
00
10
10
01
00
10
11
00
10
10
01
10
10
11
01
00
01
00
01
11
10
10
10
00
01
11
00
00
11
11
00
10
10
00
00
10
01
10
10
00
10
10
10
00
01
10
10
00
00
00
10
00
10
00
00
00
00
01
00
10
10
01
10
10
10
10
01
10
00
00
11
10
10
00
10
11
01
00
01
01
10
10
01
10
10
01
00
01
00
00
10
00
10
11
11
00
00
11
00
10
00
00
11
00
00
10
00
00
01
11
10
01
11
01
00
01
00
10
11
00
11
11
10
00
01
10
10
10
00
00
10
01
10
11
10
01
00
00
10
10
10
10
10
00
00
00
10
00
11
11
11
10
00
01
10
11
01
11
10
00
00
00
00
10
11
00
00
11
10
10
00
10
10
11
01
01
01
11
01
10
01
11
10
00
01
11
11
10
00
10
11
00
00
10
11
10
11
00
10
00
00
00
10
01
01
10
01
00
01
10
10
00
10
00
00
10
10
11
00
11
11
01
01
00
00
00
00
10
11
00
01
00
10
10
00
00
11
10
00
00
10
11
00
00
00
10
11
00
11
10
01
01
10
10
10
01
01
00
01
00
01
10
10
00
10
10
00
00
10
00
10
01
01
10
10
10
11
10
11
00
00
00
11
11
00
00
11
00
10
00
00
10
10
00
00
00
10
10
00
10
00
01
10
01
01
00
00
10
10
10
11
00
00
00
11
10
00
01
10
11
10
10
11
11
11
00
00
11
00
00
11
10
00
10
11
00
11
11
00
11
00
00
10
00
10
00
00
10
11
10
11
00
10
11
10
00
00
10
11
11
10
10
00
00
01
00
10
00
00
10
11
00
01
10
10
11
10
10
10
01
00
00
10
10
10
01
00
00
11
00
01
00
10
11
10
00
01
00
10
10
10
10
11
01
00
01
00
00
01
01
10
11
10
00
01
11
10
00
01
11
01
10
00
01
10
00
00
10
10
11
11
01
00
10
10
10
00
00
00
10
00
00
00
11
10
00
00
00
00
01
11
11
00
10
00
01
10
00
00
10
10
00
10
10
01
00
00
10
10
10
01
00
00
01
11
01
10
10
01
11
11
01
10
10
00
00
00
10
10
01
10
01
00
01
00
00
11
11
11
01
10
00
10
10
10
00
01
10
11
10
00
01
10
00
11
10
10
10
00
10
00
00
10
10
00
10
00
01
11
11
11
11
00
11
01
01
10
10
10
01
00
00
10
10
00
10
11
00
11
10
00
10
00
10
10
00
01
01
00
10
10
10
11
01
10
10
10
00
01
10
01
00
10
10
10
00
00
10
10
10
10
10
00
11
01
11
11
00
10
10
11
00
00
10
11
00
01
00
01
10
11
11
11
10
00
10
01
00
00
10
10
10
11
11
00
10
00
10
01
01
10
10
11
01
00
00
01
11
00
00
11
11
10
00
00
00
00
01
00
11
00
00
00
10
00
01
10
00
10
01
11
00
00
10
01
01
00
00
10
00
10
10
00
00
11
00
00
10
01
11
00
01
00
01
11
00
11
11
00
00
11
00
01
00
10
10
10
00
10
00
00
00
00
10
00
00
00
10
11
11
00
00
10
00
11
10
11
00
10
11
00
10
00
11
00
01
10
01
01
11
11
01
00
11
00
00
00
10
11
01
00
11
00
00
10
11
11
00
01
00
11
10
10
10
11
10
00
10
10
01
00
10
00
10
11
10
00
00
01
10
10
10
01
10
00
10
10
11
10
00
01
00
11
01
10
11
11
11
00
00
01
11
00
10
10
11
00
10
10
00
00
00
11
00
00
10
01
01
01
00
10
10
10
00
00
10
10
11
01
11
00
10
00
00
00
01
10
01
00
01
10
10
10
01
00
11
00
11
10
11
00
00
10
01
10
11
00
00
10
00
10
10
00
00
10
10
01
00
00
00
01
00
11
10
10
00
11
11
00
01
01
10
11
00
10
10
01
01
01
00
00
10
00
00
10
10
11
10
00
00
10
10
01
01
10
10
00
00
10
01
11
11
00
11
00
01
00
00
10
11
10
01
10
11
10
11
10
00
11
01
00
11
10
01
10
10
10
00
10
10
00
10
11
10
00
10
11
01
10
10
00
10
10
01
00
01
10
10
00
10
00
11
11
00
10
00
00
01
10
10
00
00
01
00
01
00
10
10
00
00
10
11
00
10
11
00
01
01
00
11
01
10
01
00
10
00
00
10
00
01
11
10
00
10
11
00
00
10
00
00
10
11
01
10
11
10
00
10
01
11
00
01
11
01
10
10
00
00
10
10
00
00
00
10
00
01
01
11
00
10
00
11
01
01
10
10
00
11
10
00
00
10
11
01
11
11
00
00
10
10
10
00
10
10
00
00
10
00
00
11
10
01
00
01
11
10
00
10
00
00
11
10
00
00
00
00
00
00
10
01
00
10
10
00
00
01
00
11
00
00
11
01
10
00
00
00
11
10
11
11
01
11
10
11
01
11
11
11
00
10
10
01
11
10
00
00
00
00
10
10
10
11
11
01
00
10
10
01
10
01
00
11
11
00
01
11
01
11
11
01
11
01
00
00
10
10
10
00
11
10
01
01
00
01
00
10
10
00
00
00
01
11
10
10
11
11
10
11
10
11
10
01
00
11
01
00
01
10
11
10
00
00
00
01
11
10
11
10
10
10
00
10
11
00
11
10
00
00
11
00
10
10
00
10
01
10
01
01
11
10
10
00
00
10
10
01
01
10
00
10
01
00
10
00
00
10
10
00
00
10
10
10
00
00
10
10
10
10
01
11
10
10
11
10
00
00
10
11
00
11
10
10
01
10
00
00
10
10
00
10
00
10
01
00
01
00
11
10
01
10
00
00
10
11
01
10
11
00
11
10
00
00
10
10
00
10
10
00
01
00
10
00
10
10
11
00
11
00
11
11
10
01
00
10
11
01
11
10
01
01
00
11
11
10
11
10
00
10
00
00
00
00
10
01
00
00
11
11
11
00
10
11
10
10
01
01
10
11
10
10
00
00
00
00
00
00
10
10
10
00
11
10
01
10
00
10
00
00
10
10
01
00
00
10
10
00
11
01
10
10
01
00
01
00
10
10
11
00
00
00
10
01
01
11
00
10
11
10
00
11
00
00
11
11
01
11
00
00
11
01
00
11
10
00
10
10
01
00
10
10
10
01
11
01
00
10
10
00
00
10
10
00
01
10
00
01
00
10
10
10
00
01
01
10
11
00
10
00
10
10
01
01
00
11
10
10
00
01
11
00
00
00
01
10
00
00
10
00
00
00
00
10
10
10
10
00
10
10
00
01
10
00
10
00
10
01
00
11
11
10
00
00
10
10
00
10
01
00
11
01
10
01
10
00
01
00
10
11
10
11
01
00
01
10
01
00
10
11
10
11
01
01
10
11
00
01
10
11
01
10
11
00
10
10
11
00
10
10
01
00
00
00
11
10
01
00
01
00
10
00
11
11
01
01
10
00
00
10
10
01
01
00
00
11
00
00
00
01
01
10
10
00
00
01
11
10
00
00
10
00
10
10
00
00
11
10
11
00
00
11
00
00
00
00
11
10
00
00
10
11
00
01
11
01
01
11
00
01
11
00
01
10
00
00
01
10
11
01
11
01
00
00
00
00
00
11
11
00
00
01
10
10
10
10
00
10
00
00
11
10
11
00
00
10
11
10
10
10
00
00
10
11
00
11
00
00
10
10
10
10
00
00
01
11
00
11
10
00
11
00
00
11
11
00
10
01
10
01
11
11
00
01
00
11
11
10
10
01
10
01
00
11
00
10
01
11
11
00
10
10
10
11
10
00
00
10
00
00
00
10
01
00
01
00
10
01
10
00
00
00
10
10
00
00
10
10
10
00
11
10
10
01
00
00
10
11
01
01
01
10
11
11
00
00
10
10
00
00
10
11
00
01
10
00
11
01
11
01
11
11
10
00
00
10
10
00
01
10
10
01
11
00
10
10
01
10
10
11
10
10
11
10
01
10
00
00
10
10
00
10
00
11
10
01
10
01
10
11
00
11
01
01
00
01
01
10
10
00
00
11
01
10
11
10
00
00
10
10
10
10
10
11
00
10
00
10
00
11
11
01
00
11
00
11
01
11
01
11
10
00
11
10
01
01
00
11
01
01
10
10
00
01
10
10
10
01
01
11
00
00
01
10
11
10
00
11
00
10
00
00
10
10
00
01
01
00
10
10
11
01
01
11
01
00
10
10
01
00
00
10
10
10
00
00
11
00
10
00
10
11
00
01
01
00
00
00
11
01
00
10
10
11
11
01
00
11
10
01
10
11
00
00
00
11
00
00
10
00
01
01
10
11
10
11
11
10
11
00
00
11
01
01
00
01
10
10
00
00
10
10
10
00
01
10
00
00
01
11
10
10
00
10
00
11
10
10
01
01
10
00
00
10
01
00
00
11
01
11
11
01
00
01
10
10
11
00
00
11
10
01
00
10
11
00
11
10
11
00
00
00
00
11
10
10
00
10
10
00
00
01
00
10
10
10
10
01
11
01
01
10
11
10
00
10
11
01
00
01
10
01
00
11
10
10
00
00
10
10
01
00
00
10
00
10
10
11
00
01
11
10
10
00
10
10
10
11
01
00
10
00
01
00
10
11
00
01
00
10
10
01
00
10
01
00
00
00
00
00
10
10
01
10
11
11
11
01
10
11
00
10
10
01
01
10
11
00
01
00
11
10
01
10
11
01
10
01
11
01
00
01
10
11
11
00
00
10
10
00
00
11
10
00
00
01
01
10
00
00
01
11
11
10
00
10
10
10
10
00
01
00
11
00
00
00
10
11
10
10
01
00
00
10
11
01
10
00
00
10
01
00
10
11
11
00
10
01
10
10
00
10
00
11
10
10
00
00
00
01
10
10
10
00
10
10
00
01
00
10
00
10
10
10
01
10
00
00
00
00
11
10
00
11
10
11
00
10
01
10
10
01
11
10
10
00
01
01
10
10
01
00
11
00
00
11
00
10
00
11
10
00
10
00
00
00
00
11
10
10
10
00
00
00
00
00
01
11
00
10
00
11
00
00
10
10
10
00
00
00
10
00
01
10
01
11
00
01
10
10
00
01
10
01
01
00
01
10
10
10
01
00
10
00
00
11
01
00
10
00
10
00
00
01
00
10
01
00
10
01
00
10
10
10
10
00
10
00
01
11
11
10
11
01
00
01
01
11
11
01
00
11
01
00
10
11
10
00
00
11
10
00
00
01
00
00
00
00
10
10
00
00
01
10
00
00
00
10
10
00
11
10
00
01
01
00
01
10
11
10
10
00
10
10
00
00
10
00
00
11
01
01
00
10
10
00
10
10
11
10
00
11
11
00
00
01
10
10
00
10
10
00
00
10
01
01
00
11
10
10
01
11
10
01
00
10
10
00
01
01
10
10
11
00
00
00
10
11
00
10
10
00
10
11
11
00
00
00
11
10
10
11
00
01
11
01
00
01
10
11
10
01
00
10
10
00
00
00
10
11
00
01
01
00
00
00
10
01
10
00
01
10
00
10
00
00
00
00
00
11
10
10
10
10
11
11
11
01
10
10
11
10
01
01
00
10
10
11
00
00
11
10
11
11
01
00
11
00
00
10
10
00
11
10
00
00
01
00
01
10
10
11
11
00
00
00
11
10
10
00
00
10
00
11
10
10
00
00
01
00
10
10
10
01
01
00
00
10
00
10
11
10
11
01
01
01
00
10
00
10
11
00
00
10
10
01
10
00
00
01
00
11
11
00
01
10
10
00
10
10
11
10
11
10
11
11
00
10
00
00
11
00
11
10
10
00
11
10
10
01
00
10
00
11
10
00
00
11
01
01
01
00
01
10
11
00
11
10
00
11
10
00
00
00
00
00
10
10
00
00
00
00
10
01
00
10
01
10
00
10
00
10
01
11
10
10
00
01
01
00
10
10
01
10
01
01
01
11
00
10
10
10
00
10
10
00
00
00
11
10
00
00
01
10
10
00
00
00
10
11
10
11
10
10
00
10
10
10
11
00
11
10
11
10
10
01
10
00
01
01
11
00
00
10
01
00
10
11
00
00
00
10
01
10
00
01
10
10
01
00
00
10
00
00
10
00
00
11
00
11
10
00
01
10
01
00
00
10
00
10
11
10
00
00
11
11
10
11
00
01
10
00
11
00
10
00
01
11
00
11
10
11
01
10
11
00
00
10
01
11
11
01
01
00
01
00
11
11
00
01
11
10
10
10
00
11
11
01
10
00
00
10
11
11
01
10
10
00
11
00
01
10
10
10
00
10
11
10
01
00
10
10
01
10
01
00
11
10
00
10
10
01
01
00
10
00
00
01
10
11
01
11
11
11
10
01
10
10
00
00
11
10
10
00
00
00
00
00
11
01
00
00
00
10
01
11
10
10
01
10
10
11
00
00
11
01
01
01
11
10
10
00
00
10
10
00
01
11
11
01
11
10
00
00
00
11
10
01
10
10
10
11
11
01
00
10
01
00
00
00
00
10
11
01
00
10
10
00
10
00
10
10
10
00
00
00
01
00
00
00
10
00
01
10
00
10
00
10
00
00
10
00
00
10
10
00
11
10
00
00
11
01
11
11
01
00
10
11
00
10
10
11
01
01
00
10
00
00
10
00
10
11
00
00
00
00
10
10
10
10
00
00
10
00
10
10
10
10
00
01
10
11
11
10
00
00
00
00
00
00
11
11
01
10
11
01
00
01
10
10
11
00
00
00
11
10
00
11
00
00
00
10
10
10
00
10
10
00
00
10
00
01
11
01
01
00
01
11
10
00
10
10
00
10
00
00
00
11
10
00
10
00
11
11
01
11
10
11
00
11
01
01
10
10
00
11
00
01
11
11
00
00
11
11
10
01
00
00
10
00
00
00
11
11
10
10
11
10
00
01
10
00
10
11
10
10
10
00
10
00
11
10
11
11
00
10
00
01
00
00
10
00
00
00
00
10
11
00
10
10
01
10
01
00
11
10
11
00
01
00
00
01
10
11
10
01
01
01
10
00
00
11
00
00
00
10
10
01
01
01
11
00
11
10
10
01
00
11
10
01
00
11
11
01
01
11
00
01
00
00
11
11
10
00
10
11
11
00
01
10
11
01
10
10
11
10
01
01
10
10
00
00
10
01
00
10
10
01
00
10
11
11
10
00
10
00
00
01
10
11
01
00
11
00
01
11
10
11
00
11
10
11
00
01
11
10
00
01
10
10
10
00
01
10
00
10
00
00
10
10
00
00
10
00
01
00
01
10
11
00
11
10
10
11
00
00
00
00
10
01
00
10
01
00
00
10
10
00
00
01
01
00
10
10
01
10
00
00
11
11
11
00
10
11
11
10
00
10
10
10
10
10
01
01
10
01
01
10
11
00
10
10
00
00
11
00
11
00
01
00
01
10
00
00
10
00
00
00
00
10
01
11
10
01
10
10
11
00
00
11
10
00
10
00
00
10
10
11
11
10
10
10
00
11
10
10
11
00
00
11
00
00
10
10
10
10
01
00
11
10
01
10
01
10
00
00
10
11
00
00
10
00
10
10
00
10
00
00
01
00
11
10
11
01
11
00
10
10
00
10
10
00
01
10
10
11
01
01
10
00
10
00
11
11
00
11
01
10
00
10
01
01
10
10
00
00
11
00
00
10
00
01
00
10
11
01
01
01
00
11
10
00
00
10
11
11
10
01
00
10
10
00
10
00
01
10
11
00
10
10
10
00
00
01
00
01
10
00
11
00
10
10
00
00
10
01
10
01
11
01
00
11
10
10
00
00
10
10
00
01
01
10
11
10
10
00
00
10
10
11
01
10
01
10
10
01
10
10
00
00
10
01
10
00
00
00
10
10
00
11
00
10
00
01
10
00
10
10
01
01
01
00
01
00
11
11
10
11
00
10
11
01
00
01
01
10
01
01
10
10
10
00
10
11
00
01
10
10
00
10
10
00
10
10
00
01
11
10
01
10
11
10
01
00
10
00
01
11
10
00
10
00
01
10
11
01
01
10
00
10
01
01
10
00
01
10
11
10
11
00
10
10
10
10
10
01
00
10
10
00
00
11
00
10
00
01
11
01
00
00
11
10
11
00
01
10
11
10
10
10
11
00
10
10
00
00
10
10
10
10
00
10
10
00
00
10
01
00
00
10
10
10
11
00
10
10
01
00
00
11
10
10
00
00
01
00
10
11
10
11
11
10
10
01
01
10
00
00
11
11
10
00
11
10
00
00
01
01
00
10
10
10
01
10
10
11
00
01
01
01
10
10
10
01
10
10
11
00
10
10
10
01
01
10
10
00
10
00
10
11
00
00
10
00
11
00
10
10
10
11
00
00
10
10
10
10
00
00
01
10
10
11
00
00
11
00
00
00
00
11
00
11
00
00
00
10
01
11
00
01
10
10
00
00
10
11
01
11
01
00
01
10
10
01
00
10
10
00
10
10
10
01
11
10
10
00
00
01
11
10
11
01
11
10
01
11
10
01
11
00
00
10
10
01
10
11
00
01
10
11
11
11
10
00
10
10
10
01
00
11
10
10
00
00
00
10
01
00
01
10
10
00
10
00
10
10
00
00
00
11
10
00
10
00
10
10
10
10
11
11
01
10
10
00
01
11
11
01
00
00
00
00
10
00
11
10
00
00
10
10
00
01
10
01
10
10
00
01
00
10
11
00
00
11
10
11
11
11
00
11
10
00
10
10
00
00
10
10
00
10
10
10
10
11
00
00
10
00
10
00
10
01
00
10
01
00
10
01
10
11
00
10
10
10
00
10
11
01
10
00
01
00
01
10
10
01
00
10
00
01
11
01
11
11
00
11
11
00
01
00
10
10
10
01
01
01
11
10
10
10
00
01
10
10
00
11
00
00
10
10
00
01
10
00
01
00
01
00
10
00
10
10
10
00
00
01
10
01
00
10
11
01
11
10
11
00
11
10
01
01
10
10
00
10
01
01
10
11
00
00
10
10
00
00
00
10
00
00
10
01
10
10
00
10
11
00
01
10
10
00
10
10
01
00
10
00
10
00
00
00
00
11
00
00
00
00
10
00
01
00
11
10
00
00
10
10
00
10
11
01
10
11
11
11
11
10
00
01
01
01
11
11
00
11
00
01
00
10
00
10
00
00
10
00
00
10
11
00
10
11
00
00
00
10
01
10
10
00
00
11
01
11
11
11
01
00
01
10
10
00
00
10
01
11
10
10
01
00
00
01
10
10
11
00
00
11
00
01
10
10
11
11
01
01
10
10
11
10
11
10
00
01
10
00
11
00
10
00
00
11
10
01
00
11
00
10
10
10
00
11
11
00
10
10
10
01
01
10
01
10
10
00
00
00
00
11
11
00
00
10
01
10
01
10
00
01
10
10
00
00
10
00
10
00
01
11
10
11
10
00
11
11
01
00
10
10
00
10
11
00
00
00
11
00
11
11
10
10
10
00
10
11
00
01
00
11
10
00
11
01
11
10
11
01
00
10
00
01
10
11
00
10
11
00
00
10
00
01
01
11
00
10
00
11
00
00
11
11
10
00
10
10
01
11
00
01
10
10
11
00
10
00
00
11
10
00
10
10
11
01
11
11
00
01
10
10
00
10
11
01
00
11
00
00
01
10
11
00
01
11
11
00
11
11
01
00
01
11
10
10
01
00
11
11
10
00
00
00
10
10
00
11
00
01
00
10
00
00
11
10
10
00
00
01
01
11
10
00
00
00
10
10
01
10
11
00
11
00
10
11
11
10
00
00
11
10
01
00
11
01
00
10
00
10
00
10
11
10
10
00
01
10
10
01
11
10
11
10
10
10
00
11
00
00
10
10
10
10
01
01
10
01
00
11
10
00
01
10
10
01
01
10
10
00
00
10
00
10
10
10
10
00
10
10
00
01
00
01
10
00
01
10
01
00
00
00
00
00
00
00
10
10
10
10
11
00
01
00
10
00
10
01
10
10
01
10
01
11
00
10
11
01
10
10
00
01
11
11
10
00
00
10
10
00
01
10
10
00
11
11
10
11
10
11
01
11
10
00
11
11
00
00
10
11
00
00
11
01
01
10
10
10
10
00
00
00
10
10
01
00
00
11
10
10
10
00
00
00
10
10
01
10
10
00
11
01
11
10
00
10
11
01
00
00
00
10
00
10
10
11
11
00
01
11
10
00
10
10
01
00
10
00
10
10
10
10
01
11
10
01
10
00
10
10
00
00
11
10
01
00
10
00
00
10
11
10
01
01
00
10
10
00
10
11
00
11
10
00
11
01
00
00
10
11
11
01
01
01
11
11
10
00
10
10
01
00
11
11
01
10
00
00
11
11
01
11
10
10
00
10
00
00
10
10
10
10
10
00
00
10
01
01
10
00
00
10
00
10
11
10
00
00
11
00
00
00
00
01
11
00
10
10
10
10
00
10
00
00
10
00
10
11
10
00
00
00
01
10
01
10
00
10
11
11
10
11
00
00
00
00
11
01
01
11
10
10
11
00
10
00
10
01
11
00
00
11
00
11
11
11
10
00
10
00
11
10
11
00
01
00
10
00
10
11
11
00
00
00
00
01
00
01
10
10
00
11
11
11
01
00
00
10
00
00
10
10
00
10
01
10
10
10
10
10
10
00
01
10
11
01
10
10
01
11
11
10
00
00
10
00
00
11
00
10
01
01
00
00
00
10
11
01
00
00
10
10
00
00
10
00
00
10
00
11
00
01
01
01
11
00
10
10
00
00
00
10
10
10
10
01
01
11
11
10
00
10
11
01
00
10
10
00
00
00
00
11
00
10
00
00
11
00
01
00
11
00
11
01
00
01
00
00
00
10
11
00
11
00
00
10
00
00
10
01
01
00
11
00
11
00
10
00
10
00
10
00
01
00
10
10
01
00
10
01
10
01
00
11
00
10
10
11
01
00
01
10
11
00
10
10
00
00
10
00
00
00
11
10
01
11
10
11
11
10
00
11
00
01
10
11
10
10
10
00
11
00
01
10
00
01
00
10
10
01
00
01
11
00
11
10
00
11
10
00
00
00
11
10
10
10
10
00
11
10
10
11
01
01
00
00
10
10
00
00
01
10
10
00
10
00
01
10
11
00
01
10
10
11
01
00
11
10
11
10
10
01
01
11
11
10
00
00
01
10
10
10
11
01
01
01
11
00
00
01
01
00
11
10
00
11
11
00
11
10
00
01
10
10
10
01
00
10
00
10
11
00
10
10
00
01
00
10
10
11
10
00
00
00
00
10
10
00
01
11
10
01
01
11
01
11
10
10
00
01
11
10
00
00
00
00
10
10
10
00
00
10
01
01
10
01
00
01
11
10
11
00
01
10
11
01
01
10
10
00
00
00
10
00
10
10
00
11
11
00
00
10
10
10
10
11
10
01
01
10
01
00
01
10
10
10
10
00
00
00
10
00
00
10
00
00
10
00
00
00
11
00
00
10
00
01
00
01
11
10
11
00
00
10
11
11
11
10
01
00
00
10
00
10
10
00
01
01
01
10
10
00
01
10
10
11
10
10
00
10
01
01
01
01
00
11
00
10
01
00
10
10
10
00
00
11
10
10
10
11
01
00
11
00
00
00
10
10
00
00
00
01
10
00
10
00
11
10
01
00
11
11
01
01
11
11
00
10
01
10
10
00
00
10
11
00
01
00
10
10
01
10
10
00
00
01
11
10
10
10
01
10
00
00
10
11
11
11
10
00
10
01
10
00
00
10
11
01
10
11
00
00
10
00
11
00
00
01
00
10
11
10
11
00
00
00
00
10
00
00
11
10
10
11
00
10
10
00
10
11
00
00
01
11
00
00
00
11
10
01
00
10
11
01
11
10
10
01
00
00
00
11
10
00
00
11
00
00
11
01
00
10
11
11
10
01
10
00
10
11
00
11
00
10
00
01
10
00
10
10
00
01
10
10
10
00
00
00
10
10
10
00
10
01
01
01
10
01
01
10
10
10
01
00
11
10
10
11
00
00
11
01
01
10
00
01
10
11
10
10
10
11
01
00
01
11
01
10
10
00
00
00
10
10
00
01
11
10
10
00
10
00
10
11
00
10
00
10
00
00
00
00
00
11
00
01
10
01
01
00
00
01
11
11
11
00
01
10
00
11
10
10
10
10
01
10
00
00
10
11
11
00
11
10
00
00
00
11
10
00
00
11
00
01
10
00
10
00
11
10
01
00
00
11
11
11
01
10
10
01
01
10
10
10
00
00
00
00
10
00
01
01
01
00
10
10
10
10
11
10
11
11
00
10
10
10
11
01
00
10
00
10
00
00
10
01
10
10
10
00
00
11
10
01
00
11
10
10
01
00
10
10
01
00
10
10
10
00
00
10
10
00
00
11
00
11
01
11
11
10
00
01
01
00
10
11
01
10
11
11
10
00
00
01
10
10
00
10
00
01
10
00
01
10
10
01
11
00
01
10
11
00
10
00
10
10
01
11
11
01
00
11
01
01
10
11
11
00
01
11
00
01
10
00
01
00
11
11
10
10
00
00
00
00
10
10
00
01
11
01
00
10
10
10
00
10
10
01
01
11
00
01
01
01
00
10
00
00
10
00
10
10
10
01
01
01
10
10
00
11
10
10
10
00
00
10
00
01
01
00
10
00
01
10
01
00
00
11
01
01
10
10
00
01
00
00
11
10
11
01
10
10
11
00
01
00
11
10
00
01
10
10
01
01
01
11
10
01
00
10
10
10
00
00
00
10
10
10
00
10
00
10
11
00
11
01
11
10
01
11
10
00
00
10
00
10
11
00
01
10
10
00
10
11
00
10
11
01
00
10
10
00
11
11
00
10
00
00
00
00
10
00
00
11
00
11
10
00
10
00
11
11
10
01
01
10
00
00
10
10
01
01
10
11
00
00
00
10
00
10
00
10
10
10
00
00
10
11
01
10
11
00
01
10
00
10
10
11
01
00
10
10
10
00
00
10
11
01
10
01
00
00
10
01
10
10
11
00
00
00
10
10
10
01
00
11
11
10
00
11
10
10
11
01
00
10
11
10
01
11
11
00
11
10
00
10
00
10
11
10
10
01
00
00
00
01
10
01
10
00
00
10
11
10
00
01
00
01
01
10
00
00
00
00
11
10
10
00
10
00
00
00
00
11
11
11
10
10
00
00
00
10
10
00
10
00
10
11
10
10
00
00
10
10
10
10
00
11
11
00
01
10
10
11
10
01
01
00
00
01
10
10
00
10
10
00
10
10
01
00
00
01
00
11
00
00
10
00
00
10
01
00
10
00
10
01
00
10
10
10
00
10
01
10
10
10
11
10
00
00
11
10
00
00
10
00
10
11
10
00
00
01
10
10
00
00
10
10
00
00
00
10
00
10
01
11
10
00
00
01
01
01
00
10
01
00
00
10
10
01
00
10
00
01
01
11
10
01
10
10
11
00
00
10
10
00
10
11
11
10
00
10
00
11
00
01
10
00
10
00
01
10
00
00
11
00
10
10
00
10
10
10
00
01
10
00
11
00
10
10
11
00
10
00
01
11
10
00
01
00
10
10
00
00
10
01
10
10
10
10
00
11
11
01
10
11
00
01
11
10
00
00
00
00
10
10
10
11
01
01
00
10
10
00
11
10
00
00
10
10
00
00
00
10
10
00
10
01
10
11
10
01
11
10
00
01
10
00
01
10
00
11
10
01
01
00
10
10
01
01
00
11
11
00
10
10
11
00
10
00
01
10
11
10
01
10
10
01
10
10
00
00
10
10
01
00
10
11
00
11
10
00
00
11
11
00
11
10
00
11
01
00
10
00
01
01
00
11
00
00
00
00
10
00
01
10
11
11
00
00
00
00
10
10
00
11
10
00
10
10
11
00
10
00
00
01
10
01
11
01
00
11
10
11
00
00
10
10
01
10
00
01
10
01
10
01
00
10
10
00
11
10
10
01
10
10
01
11
10
10
10
00
00
00
11
11
00
10
00
11
00
11
11
00
00
00
10
11
00
10
01
11
01
00
00
01
00
10
00
11
11
00
00
01
00
10
10
00
10
10
00
01
01
00
10
10
11
10
10
00
01
00
00
00
10
10
10
10
00
01
01
10
00
10
00
00
01
10
10
00
10
00
00
00
10
00
10
10
00
01
10
11
11
00
00
00
00
00
10
00
10
01
00
11
11
11
11
00
00
00
11
10
11
01
01
10
00
11
10
11
00
10
11
00
01
00
01
00
10
10
00
00
10
11
10
11
00
01
10
00
01
10
01
01
00
11
00
10
10
10
00
10
00
01
01
11
10
00
00
10
01
01
01
11
10
00
11
10
00
10
10
01
00
10
11
00
10
00
10
01
00
11
11
10
01
10
10
10
11
00
10
00
00
01
00
10
10
10
00
00
01
10
10
00
00
01
10
11
01
00
11
00
00
10
11
11
10
00
00
10
01
00
11
01
00
00
11
10
10
00
00
01
00
10
10
10
11
01
10
00
10
11
10
10
00
10
00
00
00
00
10
00
01
11
10
00
00
01
01
01
10
00
10
11
11
00
01
10
00
00
11
00
11
10
01
01
10
10
00
11
10
01
00
10
11
10
00
00
01
10
10
00
10
00
00
10
10
01
10
00
10
00
10
01
00
10
00
11
01
01
10
00
00
10
01
01
10
10
00
10
10
01
10
10
10
11
11
10
10
00
11
00
00
10
10
00
11
00
00
10
00
11
00
01
11
10
00
00
10
11
01
00
01
01
00
00
10
00
10
10
01
11
10
00
00
11
00
11
11
10
01
10
11
00
10
10
00
00
00
10
11
00
10
11
01
10
10
11
00
00
10
10
01
11
00
01
01
00
00
10
11
00
00
10
10
00
10
10
01
10
11
01
00
00
11
11
01
10
10
00
01
00
10
00
11
10
10
01
10
00
00
11
11
00
00
01
11
10
00
10
10
00
00
10
00
01
11
00
10
11
00
00
10
11
10
10
10
00
10
01
00
10
01
10
10
10
11
00
10
00
00
00
10
00
10
00
00
10
10
10
00
10
00
10
10
01
10
00
11
10
10
10
00
10
00
00
10
10
10
01
10
10
00
10
00
00
01
10
11
01
10
01
01
00
10
11
00
01
10
10
00
00
11
10
10
01
10
10
00
11
10
11
11
00
11
01
10
10
00
00
01
10
10
01
11
11
10
01
00
11
01
10
11
01
10
10
10
00
00
11
11
10
10
11
11
10
11
00
01
01
11
11
10
00
11
00
00
00
11
11
11
11
00
01
10
11
00
00
10
11
10
00
01
10
10
10
01
11
00
00
11
11
00
11
00
10
01
00
01
01
00
10
00
01
11
10
11
10
00
00
00
10
00
10
11
00
10
10
10
01
10
00
01
10
00
00
00
10
00
00
10
01
00
11
00
11
10
00
10
10
11
00
01
10
11
10
10
10
00
11
10
01
00
00
00
00
11
11
01
00
10
10
11
10
11
00
00
11
10
00
00
01
00
00
11
10
00
00
11
01
10
00
10
00
01
00
00
10
00
11
10
00
00
10
10
11
01
00
01
11
11
00
10
10
00
00
10
01
01
10
10
00
10
10
00
01
10
10
00
10
10
01
10
10
00
00
10
10
11
11
00
10
01
11
10
10
00
00
11
11
01
10
00
10
11
10
00
10
10
11
10
00
10
00
00
10
01
00
01
11
00
01
10
01
01
10
10
10
11
10
01
00
01
00
10
10
10
10
00
00
00
01
00
10
10
10
00
10
00
00
00
10
11
00
10
01
01
00
10
10
10
10
01
01
01
00
00
01
10
11
01
11
11
01
11
10
00
00
11
00
10
10
00
10
10
01
11
10
01
10
11
10
00
00
10
00
01
00
11
00
00
10
00
00
10
11
10
10
00
00
00
00
10
10
00
00
10
10
11
10
01
00
00
11
10
00
01
00
10
10
01
01
10
10
11
00
10
00
10
10
00
11
00
01
01
10
01
00
11
00
10
01
11
10
11
00
00
11
11
10
10
00
00
00
01
11
11
01
10
01
01
10
10
00
10
00
00
00
10
10
00
10
01
10
00
00
11
10
11
01
00
10
01
01
10
01
01
00
01
01
10
00
01
10
00
01
10
11
11
01
11
10
00
00
00
10
10
01
01
11
01
10
11
10
00
00
10
10
10
00
00
10
00
01
00
00
10
00
00
00
00
10
11
01
10
10
11
01
11
10
01
01
10
00
01
10
11
00
01
00
10
01
11
01
11
10
00
00
10
10
01
01
00
01
01
00
10
00
10
10
01
01
10
10
01
10
01
00
00
11
10
00
10
11
10
01
00
01
11
10
11
00
00
11
00
01
10
10
00
00
00
11
00
00
10
00
11
10
00
01
10
00
10
11
10
10
00
00
10
10
01
01
00
10
11
01
10
00
10
01
11
00
00
10
00
11
11
10
10
00
10
10
00
00
10
10
11
00
01
00
00
00
01
11
00
10
11
10
00
00
10
00
01
10
10
00
00
01
11
10
00
00
00
00
00
10
10
11
00
11
00
10
10
10
10
00
11
10
00
00
00
00
10
10
00
10
10
10
11
00
00
10
01
11
01
10
00
10
11
10
10
01
01
00
10
00
10
01
10
11
01
00
10
11
10
11
00
11
10
01
10
00
01
10
00
01
00
11
01
00
10
11
01
11
00
10
10
00
10
10
01
00
11
10
00
00
00
11
00
10
10
10
10
10
01
01
00
10
10
00
00
10
10
11
00
00
00
00
10
10
00
10
00
10
11
11
01
00
10
00
00
00
11
01
00
10
11
11
01
00
01
10
10
10
10
00
01
00
11
10
11
10
01
10
10
01
00
01
00
10
10
11
11
00
00
10
10
11
00
00
10
10
11
00
00
00
11
01
01
00
10
00
11
10
11
11
00
00
01
11
01
00
10
00
10
00
11
10
00
10
10
00
10
01
10
00
01
01
00
00
00
11
00
01
10
01
00
10
01
01
10
11
10
00
00
00
00
11
11
01
10
00
01
10
01
00
11
10
00
10
00
01
10
11
00
00
01
00
00
10
10
00
10
00
01
10
11
00
11
01
00
11
10
00
00
10
10
00
11
10
10
00
10
01
10
10
01
10
10
00
11
00
00
10
00
00
10
10
11
10
00
00
10
00
00
00
11
00
00
00
10
00
10
00
00
10
00
10
11
00
00
00
11
00
01
10
10
00
00
00
11
01
11
10
00
00
11
10
10
10
01
00
01
01
01
01
11
00
00
10
11
01
01
11
10
11
01
00
00
10
10
01
00
11
00
01
10
01
01
00
01
10
00
00
00
10
00
10
11
00
00
01
10
11
00
00
11
00
10
00
11
10
10
00
00
11
11
10
11
00
00
11
00
01
11
10
01
00
11
00
11
10
11
01
01
11
01
11
10
00
01
00
11
11
10
01
11
10
00
00
10
11
00
10
10
10
10
00
00
10
11
00
01
00
11
01
01
10
01
00
10
10
00
10
10
01
01
10
01
10
00
01
10
10
00
10
10
01
00
11
01
01
00
01
10
00
00
00
10
10
00
01
01
00
11
00
00
10
10
10
00
01
10
00
01
11
00
11
10
11
11
10
00
00
10
10
01
01
10
00
00
10
00
10
10
10
00
10
00
00
10
11
00
10
00
00
01
11
00
01
00
10
01
01
10
10
00
00
00
00
00
10
01
00
01
10
10
00
10
10
00
01
00
01
11
01
10
10
10
00
10
10
00
00
10
00
00
10
00
11
10
10
10
10
10
00
10
00
11
10
00
11
11
10
10
01
01
11
10
00
00
11
00
11
00
11
10
00
00
00
00
11
00
01
10
00
10
01
01
10
00
00
10
11
01
00
01
10
00
00
10
00
10
10
11
10
10
00
01
00
11
00
00
11
10
10
00
00
10
10
00
01
00
10
10
10
00
00
10
00
01
10
00
10
00
11
10
00
01
01
11
00
11
10
10
10
11
10
01
01
00
11
00
00
10
11
00
01
00
10
00
10
01
00
11
11
00
00
01
11
01
00
10
01
01
11
10
00
10
00
11
10
01
10
11
11
10
01
00
10
00
00
11
10
00
10
10
00
00
01
10
00
00
10
00
10
10
10
10
00
00
00
10
11
10
10
10
11
10
00
00
10
01
10
01
01
10
10
10
01
00
00
00
11
11
00
10
10
01
01
00
10
01
10
10
00
01
10
11
10
11
10
01
00
01
11
01
10
10
10
01
01
11
10
00
10
10
00
11
01
10
01
10
01
00
00
00
10
01
00
00
10
10
10
10
10
00
01
01
00
00
10
00
01
10
10
10
00
01
00
10
00
10
10
10
00
11
00
11
00
00
10
10
01
00
01
01
00
00
10
00
01
10
11
10
10
10
11
11
00
11
11
01
10
10
11
10
00
00
00
00
10
10
10
10
10
10
10
00
10
10
10
00
00
00
01
10
00
10
00
00
11
11
00
10
11
10
00
10
01
10
10
11
11
11
10
10
00
01
01
10
10
00
01
00
01
10
10
01
10
00
00
11
00
00
00
10
10
01
11
10
10
00
00
10
10
10
10
00
01
11
11
00
10
01
10
10
00
01
10
11
00
01
01
10
10
11
01
00
10
10
00
10
10
00
00
00
10
00
11
10
00
00
10
10
10
10
00
01
10
01
00
00
01
10
10
10
00
01
00
11
01
00
11
10
11
00
10
11
10
01
10
00
00
10
01
00
01
10
10
01
00
11
11
11
01
00
10
11
01
11
11
00
00
10
10
10
01
00
10
11
00
00
10
10
01
10
01
00
11
01
10
10
11
10
01
00
10
00
11
10
01
00
10
00
00
00
00
00
11
10
00
01
00
00
11
10
10
00
10
11
00
10
10
01
11
01
10
01
00
00
10
10
00
01
10
11
00
10
00
00
10
01
10
11
01
01
10
11
11
11
00
01
10
11
11
10
00
00
10
10
10
01
10
00
10
01
00
01
10
10
00
10
00
10
01
00
11
01
01
00
00
11
10
11
00
11
10
00
01
10
00
10
01
01
00
00
00
10
10
10
00
00
11
11
11
00
01
00
11
00
10
00
10
10
00
11
00
10
10
10
00
10
00
00
00
01
01
01
11
10
00
00
11
10
11
01
00
11
11
11
10
10
00
00
10
10
00
00
11
10
11
11
00
10
10
10
01
11
10
10
10
11
10
01
00
10
10
01
10
00
10
10
10
10
00
10
00
10
00
01
10
10
11
00
10
00
00
11
00
01
10
10
01
11
10
11
10
00
10
11
00
10
00
00
11
10
10
00
01
10
11
10
01
01
11
10
01
00
10
00
01
11
11
00
11
10
01
10
01
01
10
10
00
00
11
11
11
01
00
00
01
01
00
10
10
01
00
10
01
10
01
00
11
00
01
00
10
10
00
00
10
10
10
10
10
11
10
00
10
11
00
10
00
00
00
10
00
00
10
00
10
10
00
10
00
10
10
01
00
00
11
10
00
00
10
11
00
01
00
10
01
00
01
11
00
11
00
01
11
11
11
10
01
01
00
11
01
10
00
01
10
01
00
10
00
10
11
00
11
10
00
00
00
00
00
10
10
10
01
11
11
01
10
11
10
11
01
00
10
10
01
10
00
01
10
11
01
10
10
10
01
10
01
10
10
10
01
10
10
00
00
01
01
00
11
11
11
01
00
01
10
11
01
11
00
00
10
11
10
00
00
00
01
10
00
11
01
10
10
01
00
11
10
11
00
00
10
00
00
10
11
10
11
00
00
10
11
00
00
10
11
00
00
10
00
10
00
11
11
10
10
11
00
01
10
10
10
11
00
01
10
11
00
10
00
10
10
00
00
00
11
01
00
01
00
11
10
10
01
11
00
00
10
11
00
00
10
01
00
00
01
10
10
01
01
10
10
01
10
10
00
01
00
10
00
10
00
00
01
10
10
10
00
01
10
00
11
10
01
00
10
11
10
10
11
01
00
10
10
00
10
10
00
10
10
10
01
00
00
10
10
10
10
10
00
01
11
01
11
01
10
10
00
00
10
11
00
10
11
00
11
00
00
10
10
01
00
10
10
10
00
10
10
01
01
11
11
10
00
00
01
01
00
00
10
10
01
11
10
00
00
00
00
10
01
01
01
10
01
11
10
00
10
11
11
00
10
10
00
00
01
00
00
11
00
01
10
11
01
00
11
10
01
01
01
11
10
00
00
01
10
10
00
00
10
00
10
11
01
10
00
00
10
01
00
10
10
01
00
00
10
11
00
11
00
00
00
00
10
01
01
10
01
10
00
11
11
00
11
01
11
00
01
10
10
11
00
01
11
11
00
10
10
01
01
01
11
00
00
10
01
00
11
00
10
01
10
00
00
01
01
01
00
10
00
11
10
00
10
10
10
11
10
10
00
11
10
11
10
10
00
00
11
10
11
00
10
11
10
00
00
00
10
00
00
10
10
01
01
01
00
10
10
11
10
11
00
00
00
11
10
00
00
11
00
01
10
01
11
10
00
01
00
10
01
01
00
10
01
00
10
10
10
00
01
00
10
01
00
01
00
10
10
00
10
00
10
11
00
10
00
10
01
11
10
10
11
10
00
01
00
11
11
00
01
10
11
11
00
01
11
10
00
10
10
11
00
01
11
00
11
01
01
01
01
10
00
10
10
10
10
00
00
00
10
10
10
10
10
00
10
10
10
00
10
00
00
10
00
01
11
11
10
10
11
10
01
01
10
11
01
10
11
10
01
01
10
10
00
10
10
00
01
10
10
01
00
10
00
10
10
10
10
00
10
00
11
01
10
01
11
10
11
00
10
00
01
10
00
10
10
10
10
11
11
00
11
00
11
10
00
11
11
00
00
00
00
00
00
10
11
00
01
00
00
01
01
11
00
00
10
00
10
00
10
00
10
10
00
00
10
10
00
01
11
10
11
00
01
01
00
10
10
10
01
11
00
01
10
10
01
00
10
10
00
01
01
00
00
01
10
11
11
10
11
00
00
10
10
00
00
11
11
00
01
00
10
11
10
10
00
00
10
11
11
00
00
00
01
10
10
10
10
00
00
10
11
00
00
00
10
01
00
11
10
10
10
01
00
01
10
10
01
00
10
01
10
10
10
11
11
00
00
11
00
00
01
01
00
11
10
11
00
10
10
11
00
01
10
10
11
00
01
00
00
10
10
11
01
00
10
10
10
10
10
10
11
00
00
10
01
10
00
00
10
00
10
10
11
01
11
10
01
10
01
10
10
00
00
00
10
00
00
10
10
11
00
01
00
00
10
00
11
10
10
11
11
01
10
10
00
01
00
11
10
01
00
11
00
01
10
10
10
00
10
10
01
01
10
00
10
10
10
00
00
10
10
00
00
10
11
10
10
01
00
00
00
00
10
00
10
00
11
00
10
00
10
10
00
01
10
10
01
10
00
11
01
10
11
10
10
00
00
10
01
00
10
10
01
10
10
10
10
00
10
01
00
10
10
00
10
10
00
00
10
00
01
00
01
00
10
00
10
11
00
10
11
10
10
10
10
01
10
01
10
11
10
00
10
00
00
01
01
10
01
01
11
11
10
10
10
10
00
11
10
00
10
10
10
11
00
10
01
10
00
00
00
01
10
01
10
01
00
01
10
00
01
10
10
11
11
00
00
00
11
00
00
11
00
01
00
01
11
01
10
00
10
10
11
01
00
00
01
00
11
00
10
10
00
00
00
11
11
01
00
00
00
00
01
01
10
11
11
01
10
00
10
01
10
10
01
10
10
10
00
00
01
11
00
01
11
00
01
01
10
10
01
10
10
01
00
00
10
00
00
10
10
00
10
01
00
11
11
00
00
11
00
11
10
00
00
10
00
00
10
11
11
00
10
00
10
10
01
00
10
10
10
10
01
00
00
10
10
10
10
10
11
10
01
00
11
11
00
10
11
10
01
11
10
00
10
10
10
00
00
10
00
11
11
01
10
11
10
10
00
11
11
00
00
11
00
00
00
01
10
11
00
11
01
11
01
10
00
00
00
11
10
00
01
11
11
10
01
01
00
10
01
11
10
01
00
00
11
11
00
11
11
01
10
00
10
01
00
10
01
00
11
00
00
10
10
01
00
10
00
10
10
00
11
10
00
00
11
11
00
10
10
10
10
01
11
01
11
11
01
00
10
00
01
00
10
10
00
00
01
11
10
01
10
10
11
00
00
10
00
10
10
00
00
00
00
00
00
10
10
10
10
11
00
00
10
10
10
11
01
00
10
11
01
10
10
00
01
00
11
10
10
10
10
10
00
00
00
00
10
10
10
00
01
00
00
11
01
00
10
01
10
00
11
10
01
10
01
10
01
11
10
00
10
10
00
10
11
00
11
10
01
10
01
01
11
11
00
10
10
01
00
00
10
11
00
10
11
01
00
11
10
10
10
10
00
01
10
01
10
00
00
00
01
01
11
10
11
00
10
10
01
00
11
10
01
11
00
01
10
00
10
00
00
11
01
00
10
00
11
00
01
10
00
11
10
00
01
11
11
10
00
00
10
00
10
10
10
10
00
11
00
11
00
11
00
00
10
10
00
01
10
11
00
10
10
10
00
01
00
11
00
00
00
11
10
10
00
00
10
00
10
01
10
00
00
01
10
10
10
10
01
00
10
00
10
01
11
10
00
10
10
11
10
10
11
00
00
00
01
10
10
00
01
01
10
11
10
00
10
11
00
00
11
10
01
11
10
01
00
00
00
00
00
10
01
01
00
10
11
00
00
00
11
01
00
10
10
11
10
00
00
10
01
10
01
00
10
11
10
10
11
00
00
00
11
00
01
01
01
10
11
01
00
11
10
11
00
00
11
10
11
00
01
10
11
00
11
00
01
11
11
10
00
01
01
11
10
00
10
11
00
00
10
11
00
00
11
00
10
01
00
11
10
01
11
01
10
00
10
10
01
00
10
11
10
00
01
00
10
00
10
00
01
01
11
10
00
00
01
00
10
10
10
10
11
01
00
01
00
10
10
01
00
01
11
11
11
11
00
00
01
11
10
00
00
10
01
11
10
11
00
01
11
10
00
10
11
00
01
10
10
10
10
10
00
00
00
10
00
10
00
00
10
01
10
10
00
00
10
10
01
00
10
00
10
11
01
10
10
00
01
00
11
00
11
11
01
00
00
10
10
00
01
01
11
00
11
00
01
10
11
00
10
00
00
00
10
11
01
00
11
10
00
10
11
11
00
00
00
10
00
11
11
01
11
10
01
10
10
00
00
10
01
00
11
10
10
00
11
10
10
01
00
00
00
11
10
01
10
00
10
00
01
00
00
10
11
01
01
11
00
10
11
01
00
00
01
11
01
00
10
10
10
10
00
10
11
01
11
00
01
10
00
11
11
10
11
00
00
00
11
11
10
01
00
10
01
10
11
00
01
11
01
10
00
00
00
10
10
11
01
10
10
01
00
00
11
10
00
10
11
00
01
00
10
00
10
10
01
11
10
00
11
01
10
00
00
10
11
00
10
10
10
00
10
00
10
10
00
10
00
00
00
00
01
10
01
00
01
01
10
11
10
10
11
10
00
01
10
11
00
01
11
01
01
00
11
00
11
10
10
01
00
11
00
00
10
10
00
11
10
00
10
10
10
01
00
01
00
00
00
11
10
11
00
01
00
11
01
11
00
10
10
01
00
10
10
00
00
11
00
10
00
00
01
01
01
10
10
01
10
01
00
10
10
00
00
01
00
10
10
00
10
10
00
11
10
00
10
10
01
10
10
00
10
10
10
10
00
01
00
10
00
01
11
00
10
00
11
11
00
01
11
01
11
01
11
10
00
00
01
11
00
11
10
01
10
11
00
00
10
11
01
00
11
11
01
01
00
00
00
11
10
00
11
10
10
00
00
00
10
10
00
11
10
00
11
10
10
10
10
00
10
00
10
11
01
00
01
11
10
11
00
00
00
00
01
00
00
10
11
00
00
01
10
10
00
10
10
11
00
10
10
00
00
10
01
00
00
11
11
00
11
11
00
11
11
00
01
11
00
00
11
11
01
01
01
11
11
01
00
01
10
10
00
00
11
11
00
01
00
10
10
10
11
11
00
00
10
10
00
10
10
10
00
01
10
10
10
00
10
00
00
10
00
11
01
01
00
01
10
11
01
00
11
11
00
01
00
01
00
11
10
11
00
00
10
10
10
01
00
11
00
00
00
10
10
10
00
00
10
11
10
10
10
01
10
00
10
00
11
00
01
00
01
00
10
10
10
10
00
10
11
00
10
10
10
11
11
10
01
01
01
11
10
10
00
11
10
00
00
10
00
00
01
00
10
11
01
10
11
00
00
10
00
00
11
11
00
00
10
10
00
10
00
00
00
00
11
10
00
10
11
00
10
10
01
11
10
10
00
11
11
10
00
00
00
00
00
00
00
10
10
00
10
10
00
00
01
00
10
10
11
00
10
11
10
00
11
11
00
11
10
00
10
00
00
11
10
00
11
10
01
01
01
00
11
00
10
01
00
11
10
01
00
00
11
10
00
00
11
00
00
00
10
00
11
10
10
10
00
10
00
10
00
00
10
00
10
00
10
00
10
01
10
00
10
10
00
11
01
00
01
10
10
00
10
10
00
00
11
00
00
00
00
00
01
10
00
00
01
01
01
10
01
00
00
10
00
11
10
10
01
11
11
01
10
10
10
10
10
01
00
11
10
00
10
00
10
00
01
10
01
00
01
11
10
01
01
11
10
11
01
00
11
11
00
10
11
01
00
10
10
10
10
00
00
00
10
11
10
00
11
10
11
00
00
10
10
10
00
10
10
10
00
01
10
00
10
10
01
10
11
01
11
10
01
10
01
11
10
10
00
01
11
11
00
10
00
00
00
11
10
00
10
10
01
00
11
11
01
00
11
00
00
01
11
01
00
10
10
10
10
10
00
01
11
10
01
00
11
01
10
00
10
10
00
00
00
11
00
00
11
01
00
01
00
10
00
10
10
01
10
01
00
10
10
00
01
10
00
00
10
10
10
00
01
10
10
10
10
10
00
01
11
00
01
00
10
10
10
01
11
10
00
00
10
11
00
10
11
11
01
00
01
10
01
00
11
10
00
10
10
10
00
10
01
00
11
11
10
10
01
11
11
10
00
01
01
10
10
11
10
10
10
00
01
10
00
00
11
01
10
11
01
10
10
01
11
00
01
00
01
00
01
10
11
11
00
11
11
00
00
00
11
00
00
10
11
00
10
00
00
10
10
00
01
10
00
10
10
11
00
10
10
01
00
10
00
00
01
00
00
00
00
00
11
10
01
00
01
01
11
00
01
00
10
10
01
10
10
00
10
10
00
10
10
00
00
00
11
00
00
00
00
10
00
00
11
01
00
10
10
10
10
10
10
00
00
01
00
00
10
01
00
01
10
11
10
00
00
00
01
11
11
00
01
10
10
00
11
01
01
00
01
10
11
11
00
10
10
01
01
11
00
00
01
10
01
00
10
11
10
10
10
01
00
10
00
00
10
11
10
01
00
11
10
00
00
10
01
01
10
10
10
01
10
00
10
00
11
01
00
11
01
00
01
11
10
00
01
11
10
11
10
01
10
00
10
10
10
00
01
10
10
00
00
10
00
10
01
00
00
00
00
11
10
00
11
00
10
10
00
11
10
00
00
00
10
10
11
10
00
01
11
01
00
10
10
10
00
00
00
10
10
11
01
01
00
10
00
11
00
00
10
00
11
10
10
10
01
10
10
00
00
11
10
01
10
10
10
00
00
10
10
00
10
10
00
00
10
10
00
11
01
10
01
01
10
10
00
00
10
10
01
10
00
10
11
10
01
11
00
00
00
11
10
00
00
01
01
11
10
00
10
00
01
10
01
00
10
10
10
00
10
11
10
01
00
10
11
10
01
10
10
10
11
10
00
00
10
00
11
00
01
01
00
00
10
10
10
10
00
00
01
10
00
00
10
01
11
00
10
00
10
00
01
00
01
11
00
11
10
00
11
00
01
11
11
00
00
11
10
00
00
10
10
11
00
01
01
11
10
10
10
00
10
00
01
10
10
10
10
00
10
00
00
00
00
10
10
11
00
00
10
10
10
00
10
10
00
01
00
00
10
10
00
00
10
10
01
00
10
00
01
11
11
11
01
00
01
11
10
10
00
10
10
00
10
01
10
01
01
10
00
10
10
00
01
00
00
00
00
10
11
11
00
01
11
00
00
10
01
10
11
01
00
10
10
10
10
00
00
00
11
00
01
10
01
10
00
00
01
00
10
01
10
00
00
10
00
10
00
01
00
10
00
00
10
01
10
10
10
01
11
00
00
01
11
01
01
10
00
00
10
00
11
11
01
01
10
01
01
10
10
01
01
10
00
00
10
10
11
00
00
10
10
00
00
00
11
11
10
00
11
10
00
00
10
00
11
01
10
01
11
10
10
10
00
11
00
10
00
00
10
11
10
01
00
10
10
00
00
11
11
10
01
10
10
01
00
10
01
00
11
10
11
10
10
10
01
00
10
10
01
10
11
01
01
01
11
10
10
10
10
01
00
10
11
00
00
10
00
10
10
10
01
01
10
10
00
10
00
11
01
11
11
00
10
11
01
00
10
10
00
01
10
11
10
00
00
00
01
11
01
00
10
01
01
10
01
00
10
01
00
10
10
00
11
00
01
10
00
10
10
01
01
10
10
10
00
10
01
00
11
00
11
00
11
10
00
01
10
00
10
10
00
01
00
10
01
00
10
11
10
00
01
00
10
01
01
00
11
11
00
00
11
10
01
11
11
00
01
10
10
10
00
11
10
00
11
10
10
00
00
10
11
00
00
00
11
11
00
00
10
00
00
10
11
00
01
10
00
10
00
11
00
11
11
00
00
00
01
11
00
00
00
01
00
10
10
11
00
11
10
10
11
00
01
01
01
00
11
10
10
10
01
10
10
10
00
00
11
10
00
11
10
00
01
10
10
00
00
11
00
11
10
00
01
00
10
11
01
01
10
00
00
10
00
11
00
00
10
00
00
10
11
10
10
00
00
00
10
00
10
11
01
00
01
11
10
00
00
11
10
11
00
00
10
10
10
01
00
10
01
11
00
00
10
10
01
01
00
11
10
10
00
00
10
10
10
00
00
11
10
11
11
11
10
00
00
00
10
11
00
01
00
10
11
10
11
01
00
11
00
00
10
10
00
00
01
11
10
01
10
00
01
01
01
00
10
10
01
10
11
01
10
11
00
11
00
10
00
11
10
01
10
00
00
10
00
00
11
10
00
11
11
01
11
11
01
00
00
11
10
01
00
10
10
01
00
11
00
00
00
00
00
10
10
10
10
01
01
10
00
00
11
01
11
11
11
10
01
11
01
00
11
10
00
11
10
10
01
01
01
01
10
10
10
00
10
10
00
01
00
10
10
11
00
01
00
00
10
01
11
10
01
00
10
10
10
00
00
10
10
01
00
00
00
10
10
00
10
10
10
00
11
00
01
10
00
10
10
10
00
10
10
11
00
10
10
10
00
01
11
00
11
11
10
10
01
00
10
00
00
10
00
10
11
11
00
00
11
01
01
01
10
10
10
00
11
00
00
10
01
10
11
11
00
10
10
00
11
10
00
01
10
01
11
00
10
00
01
11
01
00
10
10
11
01
01
10
10
10
01
00
01
00
10
11
10
00
01
10
10
11
00
00
00
01
10
01
10
00
00
10
11
10
00
00
01
01
00
11
00
00
11
01
10
00
11
10
10
10
01
00
10
10
11
10
01
00
11
01
11
01
00
00
10
00
00
00
11
10
10
10
01
10
00
01
10
10
01
00
11
00
00
10
11
00
10
10
00
00
01
10
11
00
11
10
10
10
00
01
00
10
10
10
00
00
00
10
01
01
10
00
01
10
00
01
10
10
00
00
01
11
00
11
10
11
10
00
11
11
10
01
00
10
00
00
11
00
00
10
00
01
00
10
10
00
01
00
00
11
10
00
00
01
10
00
01
10
00
01
10
10
00
10
10
10
10
00
10
01
00
10
01
00
01
10
10
10
10
11
00
00
11
01
00
00
10
00
00
10
11
10
10
11
01
11
01
10
10
10
00
01
00
00
10
11
00
00
00
01
01
00
00
10
10
01
10
11
00
11
10
01
01
10
11
01
00
00
10
11
10
00
01
00
10
10
11
00
01
00
10
00
00
00
00
10
10
11
00
10
01
00
00
00
00
00
01
10
00
10
11
10
10
00
11
01
01
10
01
00
00
01
10
01
00
00
10
10
10
01
00
00
10
10
00
00
11
11
10
10
10
00
10
01
00
00
00
11
10
10
11
00
00
10
00
11
01
00
11
00
00
01
00
10
01
10
11
10
10
10
01
00
10
00
01
11
10
00
00
10
00
01
10
11
10
00
00
10
01
00
01
11
11
01
10
11
10
00
00
11
00
00
11
01
00
10
10
00
11
10
11
10
10
10
01
00
10
00
11
00
10
10
10
01
01
11
01
10
00
10
00
10
10
00
00
10
11
10
00
01
10
10
11
11
01
01
11
11
00
01
10
01
00
00
10
11
10
00
01
11
10
00
00
10
00
11
11
00
11
10
00
11
11
00
00
00
10
10
10
10
01
00
11
10
00
10
00
10
00
10
10
11
10
11
10
00
01
10
00
10
10
00
00
00
10
11
00
01
00
00
00
11
00
11
01
00
10
10
01
10
10
00
10
10
10
01
10
10
11
00
00
10
00
11
00
00
00
10
10
01
10
01
00
00
00
01
01
01
11
10
00
11
00
10
10
01
00
00
10
11
00
10
00
00
10
00
00
10
01
00
00
01
00
00
10
01
11
10
01
10
10
00
11
10
11
00
00
00
01
10
00
00
10
11
10
00
10
10
11
00
11
00
10
11
01
10
01
10
00
00
11
01
10
00
00
10
10
00
10
00
10
10
00
01
11
01
00
10
10
11
11
01
01
10
00
00
00
00
10
11
10
10
00
01
00
01
10
01
00
11
00
01
00
10
01
11
11
00
10
11
01
00
01
00
00
01
11
10
10
00
00
11
00
11
10
10
01
10
10
01
00
10
01
10
11
00
01
00
00
11
10
11
10
11
00
01
10
11
01
01
10
01
00
10
10
01
00
10
10
00
01
01
10
10
11
11
10
00
00
11
10
10
00
00
10
01
01
01
11
10
10
10
00
11
11
01
01
01
00
11
00
01
11
10
01
10
01
00
01
11
11
11
00
11
10
01
01
00
11
00
00
10
10
00
01
00
11
10
10
10
10
00
11
11
00
01
10
10
10
11
10
01
10
10
00
01
10
10
10
00
00
11
00
10
00
00
10
00
10
01
10
11
10
10
01
10
10
10
00
00
10
01
11
01
10
01
10
00
00
00
10
11
10
01
01
00
01
10
11
00
11
10
11
00
00
00
00
10
11
10
00
10
11
10
00
10
11
10
00
10
10
00
00
11
00
01
10
00
11
00
11
10
10
01
10
11
11
11
10
10
00
10
01
10
01
01
10
10
01
01
10
11
01
00
00
10
01
10
01
10
11
01
01
00
11
01
00
10
10
00
00
10
11
00
11
00
10
10
01
10
00
00
10
10
10
10
11
00
00
10
00
10
00
10
11
10
10
10
00
10
10
11
10
00
01
10
00
01
00
00
10
10
10
01
10
00
01
11
01
11
01
01
00
00
00
11
11
10
01
01
10
11
00
10
10
00
00
00
10
11
00
00
11
01
10
10
10
00
11
10
01
00
00
11
00
10
00
11
10
10
01
00
10
11
00
00
10
10
10
00
01
10
11
10
01
01
10
10
01
00
10
10
00
11
00
00
10
11
00
10
00
10
01
10
11
00
01
00
00
01
00
00
10
10
11
01
00
01
01
10
11
00
00
00
11
01
11
10
11
00
11
10
01
11
11
00
00
00
10
11
00
00
10
10
00
00
00
00
10
11
11
00
00
10
10
01
00
00
10
10
00
10
00
00
10
10
10
10
10
00
00
01
00
10
10
01
10
01
01
10
10
10
00
10
00
00
10
00
10
11
11
10
11
10
01
10
10
00
01
10
00
11
11
11
10
00
11
11
11
00
01
10
11
00
01
01
11
00
00
11
10
00
10
11
01
00
00
10
00
00
10
10
00
01
01
00
10
10
00
10
10
01
10
10
10
01
11
10
00
11
11
01
11
00
00
00
00
00
00
10
10
10
10
11
10
10
00
00
00
10
00
00
10
10
10
00
11
10
10
01
00
10
00
10
10
10
00
01
11
10
00
01
10
00
00
11
00
01
10
01
10
00
00
10
11
00
00
10
00
11
01
11
11
01
10
00
00
10
11
00
00
00
10
11
11
10
01
10
10
10
00
10
10
01
00
11
11
10
01
11
10
00
00
00
11
00
01
10
10
10
00
01
00
00
10
11
11
10
01
00
10
01
01
11
00
10
10
00
10
10
00
00
01
01
10
10
11
01
00
10
10
11
11
00
00
01
10
11
10
10
11
10
01
01
00
00
10
10
01
10
00
10
10
00
00
11
01
01
10
00
00
10
00
00
11
10
10
00
00
00
00
00
10
11
00
10
10
10
10
11
11
00
00
01
00
00
00
10
10
00
00
11
00
10
00
00
01
11
11
01
00
10
00
11
01
10
11
00
00
00
11
10
00
01
11
10
10
11
00
00
00
10
11
10
10
01
10
11
10
00
10
10
00
10
10
00
01
10
10
01
01
00
01
11
10
10
00
10
00
01
10
10
01
00
10
10
00
11
11
01
10
01
00
11
10
11
10
00
00
00
00
10
11
01
10
10
01
11
01
01
11
01
10
10
11
01
01
10
00
01
00
10
10
01
10
00
11
11
00
10
01
10
11
00
01
10
11
00
01
01
00
01
10
00
00
00
11
01
00
11
11
11
10
01
11
10
10
01
00
10
10
10
00
10
00
00
10
00
00
10
10
00
11
00
00
11
10
00
01
01
10
11
10
10
00
01
10
11
00
00
10
10
10
00
01
10
01
10
00
10
10
10
01
00
00
01
00
01
00
00
00
10
11
01
00
10
10
11
01
10
00
11
10
01
10
00
01
00
10
00
10
10
00
00
10
00
10
10
10
00
00
01
00
10
00
11
10
00
00
10
00
10
01
00
11
10
01
01
10
00
00
10
11
00
01
10
11
10
10
10
11
01
00
10
10
11
11
10
01
00
10
10
10
00
00
00
10
11
00
10
10
00
11
11
11
10
10
00
01
10
00
10
10
10
01
01
10
10
10
11
00
01
00
11
11
00
10
10
11
01
00
10
10
11
00
11
00
00
00
10
11
01
00
11
10
01
01
11
10
11
11
00
00
10
00
00
11
00
00
11
10
00
10
11
00
00
10
10
00
10
10
10
00
00
10
10
10
00
00
00
10
10
00
10
11
10
11
10
00
10
10
10
10
10
00
10
10
01
01
10
01
10
00
10
00
00
01
11
10
11
00
10
00
11
00
01
00
11
00
11
10
10
11
00
10
10
11
00
00
10
10
00
10
10
01
01
11
01
10
10
01
11
00
10
10
00
11
00
01
10
01
00
10
00
01
00
00
01
10
01
01
00
10
10
10
10
11
00
00
00
00
10
10
10
01
00
11
00
10
10
01
00
10
10
01
10
00
01
10
00
00
10
00
10
11
10
00
11
10
00
10
00
00
00
11
00
11
10
00
01
00
00
10
00
00
00
11
10
01
10
11
10
01
11
10
00
00
10
10
10
01
00
10
10
10
00
10
10
10
10
00
11
00
01
01
01
00
10
11
11
10
01
00
10
01
10
10
10
01
00
11
00
10
10
00
01
11
10
00
01
10
11
10
00
00
10
11
10
00
01
11
00
11
00
01
10
10
11
10
11
01
00
11
10
10
10
11
01
11
11
00
10
11
01
01
00
10
11
00
01
10
10
00
01
01
11
00
00
10
01
00
00
10
10
10
00
10
11
10
01
00
00
00
11
10
11
00
01
00
00
10
00
10
11
00
10
11
01
11
01
10
10
01
10
00
10
10
00
01
10
00
00
00
11
10
10
10
01
01
10
10
01
10
10
00
01
01
01
00
10
10
00
00
01
11
10
01
00
11
00
10
10
00
00
00
10
10
01
01
00
01
10
10
10
10
01
01
10
10
00
00
10
10
01
11
10
00
01
10
10
00
10
10
10
00
01
01
00
00
00
01
11
00
11
10
01
00
11
10
00
01
01
01
10
11
01
01
11
00
11
10
11
01
01
10
10
10
00
00
11
00
01
10
11
00
10
00
00
10
10
10
00
01
01
11
00
00
00
10
10
10
00
01
01
10
10
01
10
11
11
00
10
11
10
00
00
11
10
01
00
00
11
01
11
10
10
01
11
10
00
00
11
11
00
01
11
11
00
00
10
11
00
00
10
11
01
00
11
01
11
10
00
10
10
11
00
01
10
01
00
10
00
00
11
10
00
00
10
11
00
10
10
11
11
00
00
00
11
10
10
00
01
00
01
01
10
10
10
10
01
01
10
10
01
00
00
10
01
10
00
11
11
00
00
10
00
10
01
10
11
00
00
00
11
01
11
00
00
11
10
10
01
10
10
01
10
00
00
10
00
00
01
10
10
10
10
00
11
11
00
10
00
01
00
11
10
10
10
00
01
00
00
10
00
11
00
00
00
00
11
00
00
00
10
10
11
00
10
11
10
10
00
00
01
10
10
11
00
10
00
11
11
11
10
01
11
00
01
11
01
00
00
10
11
00
00
00
00
11
00
10
10
10
01
00
11
00
01
01
00
11
11
10
01
10
10
00
01
11
11
01
00
00
00
00
10
01
00
10
01
01
00
01
01
01
00
10
00
00
01
10
01
00
11
00
00
00
10
10
00
10
10
00
01
10
10
00
00
00
01
11
11
10
10
01
01
10
00
00
00
11
10
11
11
00
01
00
10
01
01
10
11
00
00
10
00
10
00
10
11
10
00
00
10
00
01
00
10
10
00
00
00
10
01
10
01
00
00
10
10
10
10
10
00
00
11
00
11
00
11
00
00
11
01
00
10
01
00
00
00
11
10
10
00
10
01
00
11
01
10
00
11
10
11
01
01
00
01
10
11
00
00
10
10
00
00
00
10
00
00
01
10
01
10
00
00
10
01
01
10
10
00
10
10
10
11
10
11
11
10
00
10
10
00
10
10
10
00
10
10
10
10
01
10
10
00
00
10
11
10
10
11
01
00
00
01
00
10
10
00
01
10
10
11
00
01
00
00
00
10
10
10
00
00
10
10
11
10
00
00
01
01
00
10
11
11
11
10
01
11
11
10
01
00
10
10
00
01
10
11
01
00
01
00
00
01
01
11
01
11
11
11
10
11
00
00
10
10
01
00
01
11
00
01
10
10
10
00
00
10
00
00
00
01
11
10
01
01
10
00
10
10
10
00
00
10
10
01
10
10
00
01
00
11
10
00
10
10
10
10
01
00
01
01
00
01
10
00
01
01
10
11
10
00
01
00
10
11
11
01
01
11
00
00
00
10
10
00
01
00
00
11
00
00
11
10
11
00
11
10
01
11
00
10
11
01
11
00
00
10
10
10
00
00
11
00
10
00
00
00
10
10
00
11
10
00
00
11
10
01
10
10
01
01
10
10
00
00
00
01
01
10
01
01
11
00
00
11
11
11
11
11
00
01
10
00
00
10
10
00
11
10
00
00
11
11
10
01
00
10
11
10
11
00
00
00
00
10
11
10
01
11
00
10
00
10
10
10
01
00
11
10
01
10
10
10
10
01
00
00
10
00
00
10
00
10
01
11
10
01
01
10
00
10
10
00
10
00
01
10
00
00
00
10
00
00
10
00
00
11
00
01
10
10
11
10
10
10
00
01
10
00
01
01
11
01
01
10
01
00
01
00
10
10
00
01
10
10
01
00
00
00
00
10
10
00
10
00
00
00
10
01
11
10
10
00
00
00
00
11
10
00
10
00
00
10
11
11
00
00
10
10
10
11
00
01
00
01
01
01
10
10
00
01
00
11
10
01
00
00
00
10
01
01
10
11
11
00
10
10
01
00
10
00
11
01
00
00
10
00
01
00
00
00
11
10
10
11
00
01
00
10
10
10
00
00
00
10
00
01
11
00
10
10
11
10
01
00
10
10
10
00
10
10
00
11
00
11
00
11
00
00
00
10
10
01
01
10
10
00
10
11
10
10
01
00
10
10
00
10
11
00
00
00
10
10
00
00
10
01
01
10
00
10
00
01
01
11
11
10
01
11
10
01
01
10
01
00
10
10
00
01
11
10
00
10
00
10
01
00
01
01
10
10
00
10
11
10
10
10
01
10
00
01
10
11
10
01
00
10
11
00
01
11
00
10
11
10
00
00
11
00
11
11
01
11
11
11
10
01
10
00
00
10
10
11
00
10
10
00
01
00
00
00
11
10
00
11
00
00
10
10
10
11
00
10
01
01
00
11
11
11
00
01
10
10
11
01
01
10
10
10
00
01
10
10
00
00
11
10
01
00
00
11
11
10
10
10
01
10
11
11
00
00
10
11
10
11
01
01
00
10
11
10
10
00
00
11
00
00
10
10
10
00
00
00
10
00
00
00
11
11
11
10
10
00
01
11
11
00
00
10
00
00
00
11
00
11
10
01
10
01
00
11
11
10
10
10
01
01
11
10
11
00
01
00
10
11
00
00
10
00
01
10
01
00
10
10
11
00
11
00
01
00
10
00
01
10
11
00
00
01
00
10
01
00
10
01
10
11
11
00
00
11
10
10
01
00
10
00
11
01
10
01
00
10
11
00
10
10
00
00
00
10
10
10
01
00
11
01
11
10
01
01
11
10
10
01
01
10
00
00
11
00
11
10
00
00
10
10
11
00
00
11
10
00
00
00
10
10
01
01
10
00
10
10
10
00
00
01
10
10
01
11
10
10
11
10
10
00
01
11
10
10
11
00
11
10
00
00
10
10
10
01
00
10
11
10
01
10
10
10
01
10
10
00
01
11
11
00
10
00
01
00
00
10
10
10
10
10
00
01
10
10
00
00
10
01
00
10
00
00
10
00
00
00
00
10
00
10
01
10
11
11
10
00
00
00
00
10
11
11
11
10
00
01
00
10
01
00
11
10
00
00
10
10
11
11
00
00
01
00
11
10
10
00
10
11
10
10
00
00
00
10
01
11
01
10
10
10
11
10
00
00
00
00
10
10
11
10
00
00
00
11
10
10
00
00
11
10
00
01
01
01
10
10
00
00
11
10
01
00
01
10
10
10
00
00
11
00
01
00
10
00
00
00
00
10
00
10
11
10
01
00
10
10
00
01
10
00
11
10
10
11
10
10
00
00
00
11
01
10
01
00
01
11
10
00
10
01
00
00
10
10
10
10
01
01
00
00
10
10
10
10
10
01
00
11
11
00
00
10
00
01
00
10
11
11
00
00
11
00
10
01
00
11
10
10
00
01
11
00
11
10
10
10
01
00
00
01
11
00
10
10
01
10
10
10
00
01
01
00
10
00
01
10
10
11
01
00
11
00
00
11
01
10
11
01
01
01
11
00
10
11
00
10
01
00
10
10
00
11
00
01
11
01
10
01
10
10
11
00
00
10
10
00
10
10
00
11
01
01
10
10
10
00
01
10
00
01
10
11
11
11
00
10
10
00
11
10
11
10
10
00
11
01
00
00
11
00
01
10
01
10
00
00
00
10
10
00
00
00
10
01
10
10
10
00
00
01
00
00
10
10
01
00
11
10
10
00
10
10
01
10
00
00
01
01
01
10
10
01
00
00
00
00
10
10
01
11
00
10
10
11
11
10
01
00
11
00
00
10
00
00
10
11
00
10
10
10
00
00
10
10
10
10
10
10
01
01
11
11
11
10
01
11
01
11
00
00
00
11
10
10
10
00
00
10
11
10
00
00
11
10
10
01
00
01
00
01
11
01
11
10
00
10
11
11
10
01
00
00
10
10
10
00
10
11
10
11
00
00
10
01
01
10
10
00
01
00
00
10
10
10
11
10
01
01
11
01
10
00
00
11
10
10
00
01
01
00
10
11
10
00
10
01
01
10
00
10
01
00
11
10
10
01
01
00
10
10
01
00
10
01
00
00
01
00
00
00
00
11
10
10
01
10
00
00
00
10
10
00
11
00
10
10
00
00
00
10
10
10
00
01
00
11
11
00
10
10
00
10
00
01
01
11
10
10
01
00
10
11
01
00
00
00
11
00
00
00
11
01
11
01
01
10
00
10
10
00
01
10
10
10
01
00
01
01
11
11
11
10
00
01
10
11
00
01
11
10
11
10
00
00
11
10
10
01
00
01
11
01
00
00
00
10
10
00
00
10
00
00
10
00
00
11
10
11
01
10
01
10
10
00
00
00
00
10
00
10
10
00
11
10
00
10
01
01
10
10
00
10
10
11
10
00
10
00
00
10
00
10
01
01
00
11
00
00
00
11
10
00
11
00
01
00
00
11
10
00
10
01
00
00
01
00
00
00
11
10
10
01
00
01
00
00
01
10
00
11
10
00
00
01
10
11
11
01
10
00
00
00
01
11
10
00
01
11
10
00
00
00
10
00
10
00
00
11
10
00
10
00
10
00
01
01
00
10
00
00
10
10
10
00
01
00
01
00
10
01
11
00
00
11
00
00
11
00
00
00
10
10
00
01
01
10
10
00
01
00
01
10
10
10
11
01
01
00
10
10
01
00
10
00
00
00
01
10
11
00
00
11
11
10
00
11
01
10
10
10
00
11
10
10
10
10
11
01
10
00
11
10
00
10
00
00
10
01
01
11
00
00
10
10
10
01
00
10
00
10
01
00
00
10
10
00
00
00
10
00
10
10
00
10
10
00
10
10
10
01
11
10
11
00
10
10
11
11
00
00
10
10
10
10
00
10
11
00
11
10
00
00
00
00
01
00
11
11
00
00
10
10
00
10
11
00
11
11
10
00
00
00
10
10
00
10
00
00
10
01
01
00
11
11
11
10
00
11
10
11
00
00
11
10
01
10
10
00
00
00
00
00
11
01
00
10
00
10
10
10
10
00
00
00
01
00
00
10
10
01
10
10
00
11
01
10
11
01
10
10
11
00
11
10
11
10
00
00
10
00
10
10
10
10
10
00
01
00
00
11
10
01
10
10
01
00
00
10
11
00
00
01
00
00
01
10
11
00
11
01
11
00
10
11
11
11
00
01
10
00
00
00
00
11
00
10
00
11
10
01
11
10
10
11
00
01
00
10
11
10
11
10
00
00
10
01
00
11
10
11
00
11
00
00
00
00
10
10
10
10
00
00
00
01
00
10
00
00
11
00
11
10
01
01
00
10
11
11
00
10
10
11
01
00
11
01
11
10
01
11
01
00
11
10
00
10
10
01
00
01
11
01
11
01
01
11
00
01
10
01
11
11
00
01
10
00
00
10
00
01
00
10
01
10
10
00
01
11
00
00
01
00
00
00
11
10
00
01
00
00
10
10
10
00
11
00
00
00
00
10
11
00
10
10
10
00
00
10
01
10
00
11
10
10
00
10
01
10
11
11
00
10
00
11
10
00
00
00
10
00
11
10
11
00
10
00
10
11
01
10
10
00
10
11
00
00
00
10
01
11
10
10
00
10
00
11
11
10
01
00
10
11
00
00
00
00
11
10
10
00
10
00
01
01
00
10
00
11
10
11
01
01
00
10
00
10
10
00
00
10
11
00
00
10
10
10
10
00
01
10
01
10
00
11
00
11
11
00
00
11
11
10
11
01
11
11
00
11
00
00
00
10
11
01
01
11
11
11
10
00
10
01
01
11
10
11
00
11
00
00
10
01
01
10
11
11
00
10
10
10
00
10
10
00
01
01
00
11
01
00
00
10
11
11
11
10
01
10
00
11
00
00
11
11
00
00
10
00
01
01
11
11
00
01
10
10
00
01
10
10
01
00
11
00
00
11
00
01
11
11
00
11
10
11
00
00
11
10
00
01
01
10
10
10
01
10
10
10
10
01
00
11
01
11
01
10
10
00
11
10
11
00
10
00
00
10
00
10
10
10
11
10
10
01
11
11
11
10
00
10
11
10
11
00
00
11
10
01
00
10
11
11
01
00
11
11
00
11
11
10
00
00
11
01
00
01
11
00
00
00
11
11
00
01
10
00
00
00
00
00
11
10
00
00
11
10
11
10
10
10
01
00
10
00
00
01
00
11
10
10
00
11
00
00
00
01
10
00
01
00
10
10
00
01
10
11
00
10
00
10
10
10
01
00
11
00
10
00
11
10
00
10
10
01
00
10
10
00
00
01
00
10
00
00
10
00
11
00
00
10
01
10
00
00
10
11
00
10
10
11
01
00
10
10
10
11
11
00
00
00
01
10
10
00
10
00
11
01
00
00
10
10
11
01
00
11
10
01
11
10
00
00
10
10
01
00
01
11
10
00
10
01
00
00
11
10
10
10
00
00
11
00
11
11
11
10
00
00
01
00
10
10
00
01
00
10
10
00
01
10
10
01
10
00
00
10
10
11
10
00
00
11
01
11
01
00
10
10
10
01
11
00
01
10
10
10
10
10
01
00
11
10
10
11
01
10
10
10
00
00
10
00
10
10
00
10
00
11
00
10
10
00
01
11
10
00
00
10
10
01
01
11
10
10
00
01
01
11
00
00
11
00
11
10
10
00
00
00
10
00
01
11
11
01
10
00
00
01
10
10
00
00
10
00
00
10
10
10
10
11
10
11
01
10
00
00
11
10
01
00
10
10
10
00
00
00
11
11
01
01
11
10
10
10
01
00
10
10
00
10
01
00
10
10
00
01
10
11
00
01
10
00
10
10
10
01
01
11
00
10
01
01
00
01
10
11
00
01
10
00
10
10
01
01
01
10
00
00
01
10
10
00
01
00
11
00
00
00
00
00
11
01
01
00
10
10
10
11
01
00
11
10
10
00
01
10
10
01
01
00
00
10
10
00
01
01
00
10
11
00
00
10
00
00
00
10
11
00
00
11
11
11
01
00
00
01
10
11
01
10
10
00
11
10
11
01
00
10
10
10
00
01
01
00
00
11
10
00
10
10
11
11
01
00
10
10
10
00
10
01
01
00
00
10
10
00
11
11
01
01
11
01
00
00
11
10
01
01
10
11
11
10
00
10
10
10
00
01
00
11
10
01
11
11
10
00
10
10
10
10
00
01
01
11
11
00
00
00
10
11
01
00
10
00
00
00
00
00
00
00
10
10
11
10
00
01
00
00
00
11
01
10
10
10
11
10
10
11
01
11
00
00
10
00
00
00
10
00
01
10
11
00
01
10
10
11
01
10
01
10
11
11
00
00
11
10
10
10
11
10
11
00
10
10
00
11
11
10
01
11
01
00
11
00
00
00
10
10
01
00
10
11
00
00
01
10
01
00
11
10
11
01
00
00
10
01
00
00
10
11
10
11
00
10
00
01
00
11
11
00
00
11
10
10
00
00
01
00
00
00
10
10
10
00
10
00
10
00
10
01
00
11
11
01
10
10
11
11
10
00
00
00
01
11
10
10
00
10
11
11
00
10
11
11
10
10
00
10
10
00
00
10
10
01
10
10
01
00
01
00
11
10
10
11
01
01
11
10
00
10
11
01
11
10
00
00
00
10
10
10
00
01
10
01
10
10
10
10
01
00
00
10
10
11
10
10
00
00
10
10
10
01
10
10
10
01
00
10
00
10
10
00
00
10
10
01
10
01
01
11
00
00
00
00
10
10
10
01
10
10
01
00
10
10
11
00
10
11
10
00
00
10
00
11
10
10
10
00
00
10
10
00
00
01
10
11
00
10
01
10
10
00
00
01
01
00
00
00
01
10
10
10
10
00
10
00
00
11
10
10
11
01
10
10
11
00
10
10
01
10
10
00
11
11
10
00
00
01
00
11
11
11
10
10
01
01
11
10
00
01
11
10
11
01
00
11
10
11
01
10
10
10
10
00
10
00
00
00
10
11
00
00
10
00
10
00
10
10
01
01
00
10
10
01
01
01
00
11
10
00
01
00
11
10
10
00
11
11
00
10
10
00
00
11
10
01
10
10
10
01
00
01
00
10
10
00
10
10
10
01
00
10
00
10
11
11
10
01
00
10
10
10
00
00
10
10
01
10
00
11
01
10
11
00
01
11
11
01
01
11
11
00
01
01
01
11
10
10
01
10
11
00
11
11
10
01
11
00
11
10
00
00
11
10
00
00
11
11
01
10
00
01
01
10
00
10
10
01
00
11
00
10
00
01
00
00
10
11
10
00
10
10
10
00
11
10
10
11
10
00
11
01
00
11
00
10
00
10
10
10
10
01
10
10
10
00
00
01
10
10
10
01
00
11
10
10
11
01
10
10
00
00
11
10
00
00
00
11
00
01
10
00
10
10
10
10
00
01
00
11
00
11
01
10
11
10
00
00
10
00
01
01
11
01
11
01
11
00
01
11
10
00
00
10
10
10
00
00
00
11
10
00
00
01
00
10
10
10
00
00
10
00
11
10
01
10
01
00
01
11
11
00
00
00
10
01
11
00
00
10
11
00
10
00
01
01
00
10
01
10
11
00
11
10
10
10
00
00
00
10
11
01
01
00
01
01
00
11
10
01
00
00
10
10
10
01
01
10
10
10
00
00
00
10
10
00
11
10
01
01
00
10
00
10
10
10
00
11
10
00
00
10
10
01
01
11
00
10
01
00
11
00
10
11
00
10
11
10
01
01
11
11
00
10
00
11
10
00
00
10
00
00
01
00
00
10
00
10
11
10
00
00
11
00
10
10
00
10
10
01
00
01
00
00
10
00
00
11
10
10
10
11
10
10
10
01
00
00
00
00
01
11
10
01
10
11
11
00
00
10
10
00
11
01
00
01
01
10
11
10
01
01
00
10
01
10
10
01
10
01
01
00
00
01
00
11
01
00
00
01
10
01
00
10
10
10
10
00
10
00
11
10
10
01
00
10
00
10
10
11
00
10
11
10
00
10
10
00
01
00
11
00
11
10
10
11
01
11
10
00
00
10
00
01
10
10
11
11
10
10
10
10
00
11
01
01
10
11
10
00
10
11
00
01
10
00
00
10
10
10
00
00
11
11
00
11
11
00
01
01
01
00
00
10
00
10
01
01
10
10
00
01
00
10
01
00
10
11
01
11
01
00
00
10
10
00
11
10
00
10
10
10
01
10
10
10
10
00
01
01
00
00
00
00
00
10
10
00
01
10
00
00
10
01
10
11
00
11
10
11
10
00
01
11
11
00
10
00
10
10
10
10
01
00
11
01
00
10
10
00
00
11
11
01
10
10
00
00
00
10
00
00
01
10
11
00
11
01
10
00
10
01
00
10
00
11
10
00
11
10
00
11
11
00
00
10
00
11
00
01
00
00
00
11
00
00
01
10
00
10
10
00
11
11
00
00
10
10
10
10
00
10
10
00
00
00
00
11
10
00
11
00
00
01
01
10
00
00
11
11
10
00
11
00
10
00
00
00
00
11
10
11
11
11
10
10
00
11
01
10
11
01
00
10
10
00
00
11
10
10
11
01
10
00
00
11
10
10
00
00
01
11
00
00
10
00
10
01
00
01
00
11
10
11
10
01
11
10
10
00
10
00
01
10
10
10
10
00
10
10
00
10
00
01
10
11
01
00
01
01
01
01
10
11
00
10
00
01
10
11
00
00
11
01
10
00
10
01
01
11
00
00
10
10
10
10
00
01
10
01
00
00
10
11
00
00
00
01
10
11
00
00
10
10
11
10
10
00
00
11
00
00
00
01
01
00
00
10
00
11
10
10
00
10
10
01
10
10
10
00
01
01
10
00
00
00
11
10
01
10
00
01
11
01
00
10
11
00
10
00
01
10
11
10
10
10
00
11
00
10
11
11
10
11
10
00
10
00
00
00
11
10
11
10
01
01
11
11
00
01
00
10
10
10
00
00
10
00
10
11
00
01
11
10
00
10
11
11
11
00
01
00
11
10
00
10
11
00
00
00
10
11
01
01
00
00
10
10
10
01
01
10
10
01
10
00
01
00
00
00
11
10
10
11
10
00
11
01
10
10
11
01
00
00
10
00
10
00
01
10
00
11
11
01
01
00
10
00
10
00
01
11
00
10
11
01
01
00
11
00
00
10
10
00
01
10
10
00
00
11
01
00
10
11
01
00
10
10
00
00
01
01
11
10
00
01
00
00
10
11
00
10
10
10
00
10
11
01
01
01
01
00
01
00
01
01
10
10
01
00
10
11
00
11
00
11
11
01
11
11
00
01
10
10
00
00
00
10
10
00
01
11
10
00
10
00
00
00
11
11
01
00
00
10
01
00
00
10
10
10
00
01
10
00
00
00
01
00
11
10
10
11
00
00
10
10
10
00
00
01
01
10
00
10
00
01
00
10
10
00
00
10
10
11
01
00
01
00
10
10
00
01
01
01
11
11
00
11
00
00
10
10
00
00
00
10
10
01
01
00
00
00
00
10
10
10
00
10
00
10
00
00
11
01
00
00
01
11
10
00
10
00
00
10
00
10
10
00
10
01
11
00
10
00
10
11
10
10
00
01
00
11
00
00
10
10
11
10
00
00
10
10
00
01
10
10
10
00
10
00
10
11
01
00
10
00
10
10
11
01
01
10
10
10
01
11
01
00
10
11
00
10
11
10
10
00
00
00
10
11
00
00
10
10
00
00
10
00
10
00
00
01
11
11
00
10
10
10
10
00
01
00
11
10
11
00
10
11
00
11
11
10
00
00
10
00
10
10
11
11
00
01
11
11
10
00
00
10
11
01
10
01
10
10
11
01
00
10
01
10
11
10
11
10
01
00
11
01
00
11
00
10
11
10
01
10
00
01
10
00
01
00
01
00
10
11
10
11
01
00
10
00
10
10
10
00
00
00
10
10
10
00
01
11
00
10
00
00
10
10
10
01
11
10
10
10
10
10
10
00
01
00
11
01
11
01
10
00
00
11
11
10
01
10
10
00
11
11
00
01
10
00
10
00
01
00
10
11
11
11
11
10
01
00
10
10
10
01
00
11
10
01
00
10
10
00
11
00
00
10
10
11
01
10
11
10
01
00
10
11
11
10
10
00
10
11
10
11
00
10
10
00
01
10
11
01
01
00
11
00
11
00
00
10
00
00
00
11
10
11
11
01
10
10
01
01
10
00
11
10
00
00
10
11
01
00
10
00
01
10
10
00
00
11
00
00
00
10
10
10
10
10
11
00
01
01
01
01
10
00
00
00
10
10
10
00
01
11
01
10
11
10
10
00
00
10
10
00
01
11
11
10
00
00
10
11
00
01
10
10
10
10
10
01
11
10
00
01
10
00
11
00
10
00
00
10
00
00
00
10
00
01
00
01
01
00
00
01
10
10
00
00
00
00
10
10
11
11
00
11
00
00
00
11
10
01
00
10
01
00
00
00
00
11
10
00
10
10
01
00
10
11
00
00
11
10
00
11
10
10
01
00
00
10
10
00
01
10
10
11
10
00
00
00
10
10
00
00
11
00
01
01
01
11
11
10
10
00
01
10
00
00
00
10
10
10
00
11
00
11
10
01
00
00
00
10
01
00
10
00
11
10
01
10
01
00
01
00
10
10
00
11
11
10
10
11
00
10
10
10
11
10
00
11
00
01
00
00
11
00
10
00
10
10
00
10
10
11
01
00
10
10
00
00
01
11
00
01
01
00
01
11
01
10
10
00
00
00
10
11
01
10
11
01
01
10
10
01
10
00
00
10
00
01
10
11
00
00
00
10
00
01
10
10
10
10
00
10
00
00
10
10
01
10
10
10
01
10
10
01
00
00
11
10
01
00
00
10
10
10
01
11
11
11
11
00
11
11
01
11
10
00
10
00
01
10
10
10
11
00
01
10
00
00
10
00
00
10
10
11
00
01
11
10
00
01
10
10
00
00
10
01
01
10
01
11
00
00
00
11
10
10
00
01
11
10
10
10
10
00
00
01
00
01
10
00
11
00
10
11
00
01
00
00
11
10
11
01
10
10
01
00
00
10
10
11
10
10
01
00
10
11
10
01
01
00
10
10
00
10
00
00
00
00
10
10
10
10
11
10
00
01
10
10
01
01
00
11
11
01
00
01
01
10
11
11
10
00
00
10
10
11
00
00
01
01
00
11
00
11
10
00
00
01
00
10
10
01
00
10
10
11
00
10
10
00
01
11
10
10
11
10
00
10
11
01
11
00
00
11
10
01
10
11
01
00
10
00
10
11
10
10
01
10
01
00
00
00
00
11
10
00
00
00
10
10
00
00
00
10
01
10
11
10
00
11
10
01
11
10
01
10
11
11
01
00
01
11
01
11
10
11
10
01
00
01
11
10
00
10
01
01
01
10
10
00
01
11
00
10
11
11
00
00
00
10
10
01
00
10
10
00
11
10
00
10
00
10
00
00
01
01
10
10
01
10
10
00
11
10
00
00
00
01
10
00
01
10
11
10
10
00
00
00
10
11
00
11
01
00
10
00
10
01
10
10
00
10
10
10
00
01
10
10
01
00
01
10
00
10
00
10
10
00
00
00
00
10
10
10
00
11
11
11
10
01
10
11
10
00
11
11
01
00
10
10
10
10
01
00
11
00
10
10
01
10
10
00
00
00
11
11
10
01
10
11
10
11
11
00
00
10
00
01
01
10
10
01
00
01
11
00
00
00
00
10
00
10
10
00
10
00
10
10
01
10
10
10
11
11
01
10
11
10
00
00
10
00
01
00
01
00
10
01
00
10
11
10
01
00
11
01
11
00
11
10
11
11
00
00
11
10
00
00
10
11
10
01
00
00
00
10
00
00
01
10
11
01
11
10
11
11
11
01
00
00
11
10
01
11
00
00
10
11
10
01
00
00
11
10
00
11
01
00
00
01
01
00
10
11
10
01
10
10
01
00
10
11
10
00
00
11
01
10
10
10
00
10
10
10
01
10
10
00
00
10
10
00
10
01
01
01
00
10
00
10
01
11
11
00
11
10
01
10
10
01
00
10
10
01
01
01
10
10
01
01
00
11
11
01
11
00
11
10
10
00
01
10
10
00
00
00
11
00
01
10
01
10
11
01
11
00
00
01
00
00
10
11
00
00
10
10
00
10
01
00
10
10
01
10
10
10
00
01
11
00
00
10
10
00
10
10
01
00
10
00
10
00
01
11
01
01
10
00
00
10
10
10
10
00
10
10
00
00
10
10
00
00
11
10
01
10
10
11
10
10
00
01
01
00
01
00
00
10
10
01
01
01
10
10
00
11
01
11
00
00
10
11
10
10
00
00
00
00
10
11
10
00
01
01
00
10
00
10
01
00
00
11
11
10
11
00
00
00
10
10
10
00
00
10
01
10
00
10
01
00
11
00
10
10
01
01
10
00
00
01
10
11
00
01
10
10
00
10
00
10
11
00
10
01
00
01
00
01
10
10
10
10
01
10
01
00
01
10
00
00
00
10
10
10
01
00
11
10
10
00
00
10
10
00
01
00
10
00
01
00
11
01
00
10
11
10
11
10
01
00
00
10
10
10
00
11
10
01
00
10
10
00
00
01
11
10
10
00
10
00
00
01
11
00
01
01
01
00
10
11
10
10
00
00
00
10
10
00
11
01
01
00
01
10
01
00
10
10
10
10
01
00
10
00
11
11
01
01
10
10
11
01
01
01
10
10
00
10
00
01
10
10
01
10
10
01
00
10
11
00
11
01
00
11
10
10
00
10
00
00
11
10
00
00
00
00
10
00
11
10
00
00
10
10
10
11
10
11
11
01
10
00
00
10
11
00
00
10
10
00
00
01
11
10
11
01
10
11
00
01
11
10
00
00
00
10
00
00
10
00
01
10
00
10
00
10
01
00
10
10
10
01
00
10
00
00
00
00
00
10
00
10
01
11
00
00
10
00
00
00
00
10
10
10
10
00
00
00
00
00
10
01
00
11
10
01
00
00
01
01
10
10
10
11
01
10
11
01
10
10
00
00
11
00
01
10
10
00
01
11
00
11
10
01
00
10
10
01
00
10
10
00
00
11
00
00
00
11
00
00
11
10
00
01
10
01
01
11
00
10
00
01
01
00
10
11
10
11
11
11
01
00
00
11
10
00
01
10
10
10
00
10
01
10
00
00
11
10
01
00
10
10
01
01
10
01
00
00
00
10
00
11
01
00
10
10
10
11
10
00
00
11
10
00
00
10
11
00
10
10
00
00
00
01
10
00
10
10
10
10
01
10
10
00
11
00
10
10
00
11
00
11
01
10
10
00
00
10
00
01
10
10
01
10
01
00
10
10
00
00
10
11
01
01
11
10
10
01
11
01
10
10
01
00
10
10
10
10
10
01
01
00
00
10
11
10
01
11
00
01
00
00
10
10
00
11
00
00
01
11
00
00
10
10
11
01
01
11
00
10
00
10
10
00
01
10
10
10
10
11
11
00
01
11
00
00
11
11
10
00
01
10
11
00
10
00
10
10
00
00
11
00
00
00
10
10
00
10
10
00
00
11
10
11
10
11
10
10
10
00
11
00
00
10
00
10
11
10
00
01
00
00
10
00
10
11
10
00
00
01
00
10
01
10
00
10
10
01
00
10
10
11
11
00
00
00
10
00
11
10
00
01
00
01
11
01
00
10
10
00
10
10
00
11
10
10
00
11
10
10
00
11
11
00
10
00
11
10
10
11
10
00
01
01
10
10
10
10
00
01
10
01
11
10
10
00
00
00
11
01
00
10
10
11
10
01
00
01
11
00
10
00
00
10
00
00
10
10
00
10
10
01
10
10
00
10
01
10
00
00
10
00
00
00
00
10
10
01
10
00
10
10
11
10
11
00
00
11
11
00
00
01
10
10
00
10
11
00
10
01
00
01
00
00
10
11
10
11
00
00
00
10
10
10
10
01
01
10
01
10
10
11
01
01
11
01
00
11
00
00
00
11
00
10
00
00
10
01
10
10
11
00
00
00
10
00
01
00
00
00
10
11
10
10
11
00
00
00
01
00
10
00
00
10
00
10
10
10
11
11
10
00
00
10
00
00
10
00
01
00
10
10
11
00
00
00
00
00
11
11
01
01
10
10
10
00
00
00
10
10
00
00
11
01
00
11
00
00
11
00
00
10
10
10
10
00
10
10
10
11
00
10
11
10
01
11
00
10
00
10
00
00
10
10
10
00
10
11
00
01
11
00
00
10
00
00
01
10
10
00
11
10
00
11
10
10
00
10
11
11
00
00
01
00
00
11
10
01
00
11
00
10
10
00
10
11
01
01
00
00
00
01
11
10
01
01
10
01
00
10
00
11
00
11
00
00
10
00
01
00
11
11
01
11
00
00
10
01
00
00
00
10
10
01
00
10
11
01
10
11
10
01
01
10
10
10
00
00
11
10
00
00
10
10
00
00
10
10
00
00
00
10
00
10
10
00
01
11
11
10
00
00
11
11
00
01
11
10
01
10
10
00
10
10
01
10
01
00
10
01
11
11
00
00
10
00
00
10
00
01
00
10
10
00
10
01
01
11
01
00
10
00
00
00
10
11
10
11
01
00
11
11
00
10
00
00
11
00
01
10
11
11
00
01
01
11
00
01
10
10
11
00
00
00
10
10
11
10
10
10
10
01
11
11
11
11
10
10
00
10
10
00
00
11
00
10
10
00
11
00
00
11
01
00
11
10
00
10
10
10
00
00
10
00
01
00
00
10
10
10
11
00
01
10
10
11
01
00
00
00
11
00
01
00
11
01
10
10
00
10
00
10
10
00
10
10
00
10
10
01
01
11
10
00
01
00
01
10
11
01
10
01
11
10
01
10
10
11
01
00
10
00
00
10
11
10
10
11
01
10
00
10
00
11
00
11
00
11
11
00
10
01
11
10
10
00
00
11
01
10
11
00
00
11
00
11
00
00
11
00
01
10
00
01
11
10
11
00
11
10
01
01
00
10
00
01
10
11
00
00
00
10
01
00
10
10
10
00
10
00
01
10
10
10
11
01
00
10
00
01
11
10
10
00
00
10
00
01
00
11
10
11
00
01
10
10
11
01
11
11
00
10
01
00
11
01
01
10
11
10
10
00
00
10
00
11
00
11
00
10
00
11
11
01
00
11
10
00
00
00
10
01
11
11
10
01
10
00
01
01
11
11
10
10
00
00
01
00
11
01
10
01
00
01
00
01
10
11
11
01
10
10
10
01
00
01
11
10
00
10
10
00
11
10
00
10
01
11
10
01
11
01
01
10
00
01
10
10
00
10
10
00
01
11
01
01
00
00
10
11
10
10
00
00
10
11
00
00
11
10
01
00
10
10
10
10
00
00
10
11
00
10
00
00
11
00
00
01
00
00
10
10
11
01
00
01
01
11
10
00
11
00
11
00
00
11
10
10
00
00
11
00
11
10
10
00
10
01
10
01
00
00
10
10
11
00
00
10
10
01
00
00
10
10
11
11
00
10
00
00
01
01
10
01
11
01
11
10
01
00
00
11
11
00
10
11
01
01
00
00
10
01
00
10
10
00
10
10
10
00
01
11
00
00
11
00
01
01
01
10
01
10
10
10
10
10
10
00
00
10
10
00
00
10
11
11
01
00
00
11
11
00
01
10
10
10
00
00
11
10
00
00
00
11
00
10
11
10
00
00
10
00
10
10
00
10
10
10
01
01
10
10
00
00
10
01
10
01
00
10
10
10
10
11
11
00
00
10
01
10
00
10
00
10
10
01
00
00
00
10
00
10
10
10
10
10
10
10
00
10
10
01
10
00
10
00
00
11
00
10
10
00
10
11
01
11
01
11
10
10
00
01
10
11
10
00
00
00
11
10
10
11
00
10
10
00
00
10
11
01
10
11
01
11
10
10
01
01
11
00
00
10
01
01
10
01
01
10
10
00
01
10
01
00
10
10
10
11
01
10
10
00
10
00
10
10
00
00
00
11
10
10
00
01
01
10
01
10
01
11
10
00
10
01
00
10
11
10
01
01
00
11
00
00
10
01
00
11
10
00
00
11
10
10
00
00
10
10
10
00
00
10
10
01
00
00
11
10
00
00
10
01
10
01
00
11
00
01
10
10
10
00
00
00
00
10
10
01
11
00
01
10
10
11
00
00
00
10
10
10
11
01
11
10
00
10
00
10
10
10
01
00
11
00
00
00
01
01
10
00
10
01
10
00
01
00
01
00
11
10
11
11
00
01
10
01
01
00
10
10
10
00
10
10
01
11
00
01
00
11
01
00
00
10
10
10
10
00
10
01
01
01
11
10
11
00
10
01
00
10
00
00
11
10
11
00
01
10
01
00
10
10
01
00
00
00
01
11
10
00
00
00
00
11
10
10
10
00
10
10
11
01
01
10
01
10
10
00
00
01
11
10
10
01
11
10
00
00
10
10
00
10
10
10
10
10
00
00
10
01
10
11
01
00
01
00
11
01
00
00
10
10
00
01
10
10
00
01
10
01
00
00
10
00
00
01
00
11
10
10
01
11
10
01
00
11
10
00
00
10
10
00
10
00
10
10
00
10
00
00
10
10
00
11
10
11
00
00
10
00
11
00
11
01
00
10
00
00
10
10
00
01
10
11
00
10
11
00
10
11
10
10
01
11
01
11
01
00
00
10
11
10
01
10
10
00
10
01
00
01
10
11
10
00
00
10
10
01
00
11
10
10
00
00
10
01
00
10
10
00
10
01
10
11
01
11
11
11
11
10
10
01
11
10
10
00
01
11
10
11
01
01
00
10
01
00
01
10
10
01
10
11
00
00
01
01
11
10
00
11
10
00
00
00
10
11
10
00
11
01
00
00
01
11
10
00
00
00
10
11
10
11
10
00
11
10
00
00
10
10
01
10
00
01
10
00
00
00
11
11
01
10
10
00
10
00
00
01
00
10
10
01
10
00
10
00
00
00
10
01
01
10
00
11
00
10
10
01
11
11
00
10
00
00
00
00
00
11
10
00
01
00
00
00
00
10
00
01
01
11
11
01
10
10
01
00
00
10
10
00
10
00
00
10
00
10
01
00
10
00
10
00
00
10
10
00
01
10
01
11
01
00
11
00
00
01
10
11
00
11
10
10
00
01
11
10
00
00
00
00
11
01
10
11
00
10
00
11
10
00
00
10
10
01
00
10
11
10
11
00
10
01
01
11
00
11
00
11
11
10
10
01
10
00
00
11
00
10
10
00
00
10
11
01
01
01
10
10
10
11
11
00
00
11
11
01
00
01
10
00
01
00
10
10
10
00
11
11
00
10
00
10
00
10
01
00
11
01
10
10
00
00
10
00
00
10
11
00
10
00
00
01
01
10
10
00
01
10
10
01
10
10
01
00
10
00
10
10
01
00
10
10
01
10
01
10
00
00
11
01
01
00
10
10
01
11
01
10
01
00
11
01
10
00
00
10
10
00
01
11
01
01
00
10
00
10
00
00
11
10
00
10
10
11
01
10
10
11
01
00
11
00
10
10
10
01
00
11
11
10
10
11
10
01
00
00
11
00
01
10
11
11
10
01
00
00
10
10
00
01
00
10
10
11
00
10
10
01
10
11
01
10
11
00
01
01
01
00
10
10
01
00
11
10
01
00
10
00
10
01
10
01
01
10
11
00
01
00
01
10
11
01
00
10
11
11
00
00
11
01
01
00
00
11
11
00
01
11
11
10
10
00
10
10
00
00
00
10
11
10
10
10
10
00
00
00
00
10
01
00
11
01
11
10
00
00
00
00
11
01
01
01
01
10
00
00
11
00
01
11
11
11
01
01
11
10
00
00
10
00
00
10
11
11
01
00
00
11
11
10
00
10
10
00
10
00
11
00
10
10
00
10
01
11
01
01
11
01
01
10
10
10
00
00
10
10
00
00
10
00
10
10
00
00
00
01
10
11
01
11
10
00
11
11
11
00
10
11
00
00
00
10
10
01
11
11
10
10
01
00
10
00
00
11
11
10
11
00
10
01
00
10
10
00
10
10
00
00
10
00
10
10
00
10
01
00
10
01
01
00
10
00
10
01
10
11
01
10
00
00
01
11
00
10
10
00
10
10
00
01
10
01
10
01
00
00
00
11
00
00
00
10
11
00
01
10
01
01
01
00
11
00
01
11
10
00
00
00
11
00
00
11
00
00
10
11
00
00
10
01
10
01
10
11
10
01
01
11
00
11
00
01
01
10
01
00
10
10
00
11
01
01
10
11
00
00
10
00
11
10
10
01
01
00
10
00
10
10
11
11
00
00
10
00
10
00
00
01
01
10
10
00
10
00
10
00
00
11
10
11
10
01
00
10
01
00
11
10
00
10
00
11
10
00
11
00
01
10
01
00
11
10
00
10
01
11
00
00
10
10
10
10
10
11
00
00
10
10
10
00
11
10
11
00
00
10
00
01
01
11
10
10
11
00
10
00
10
10
00
11
01
00
00
01
01
00
00
10
11
00
11
11
01
01
10
11
00
00
10
10
01
00
10
01
10
01
10
11
01
00
00
11
00
00
10
10
00
01
10
01
11
10
10
11
01
10
00
00
00
10
10
10
00
10
10
01
11
10
10
10
00
00
10
10
11
01
11
11
00
00
11
10
00
00
11
00
10
00
10
11
00
00
10
01
01
00
11
11
10
10
10
10
11
01
00
11
10
00
11
11
01
00
01
10
10
10
10
00
00
01
10
01
00
11
10
00
10
00
00
10
10
10
01
00
10
01
10
00
00
01
00
00
11
00
11
00
00
10
11
11
01
11
01
11
00
00
00
01
10
10
00
11
10
01
00
10
11
10
00
00
11
10
11
00
10
10
01
01
00
00
10
10
10
00
11
10
00
01
10
00
01
00
00
10
11
00
10
11
11
11
10
01
01
01
01
10
11
10
10
00
01
00
11
00
01
10
10
10
10
10
00
10
01
10
01
00
11
10
00
00
01
10
00
01
11
10
00
10
10
00
01
10
00
10
10
10
10
10
01
00
00
10
10
00
10
10
10
01
00
01
10
11
10
10
10
11
10
00
10
10
01
10
00
00
10
10
00
01
00
01
00
11
11
10
01
00
11
11
10
11
00
10
00
00
10
10
10
00
00
00
00
10
00
00
00
10
00
11
11
10
00
01
10
01
01
00
10
10
01
00
11
11
11
10
00
01
01
10
11
00
00
11
11
00
00
11
10
01
00
01
10
01
00
11
00
01
01
10
00
11
11
00
11
10
00
00
11
10
10
01
00
10
00
11
10
11
00
10
00
11
00
01
01
10
11
10
10
10
10
10
00
10
11
01
10
01
00
01
01
00
10
10
01
11
01
00
00
11
11
10
01
01
10
01
11
00
10
10
01
10
01
00
00
01
10
11
01
00
11
01
01
10
10
00
00
01
10
10
00
11
10
11
10
00
10
10
00
00
10
11
11
00
00
01
00
10
10
00
01
11
11
10
11
01
10
00
01
01
00
11
10
10
01
00
10
11
00
00
00
10
00
00
10
01
01
11
11
01
01
10
11
00
10
10
01
00
11
00
00
10
10
00
01
10
11
00
01
10
10
10
10
10
00
00
10
10
00
00
10
10
10
00
00
00
00
11
10
10
01
11
11
10
10
01
10
10
00
00
10
00
11
11
00
01
00
11
00
00
10
00
10
11
00
01
10
01
11
10
00
01
10
11
10
00
00
00
10
10
10
00
11
10
00
00
01
10
01
00
11
01
10
01
00
11
00
10
00
10
10
00
10
11
10
10
00
00
01
10
00
00
10
01
10
10
00
01
10
00
10
10
10
10
00
11
00
01
01
00
00
10
10
00
10
10
01
11
11
01
11
00
00
10
01
00
00
11
10
01
00
00
00
01
00
11
01
10
11
01
00
01
00
11
00
10
10
10
11
00
10
01
10
00
00
01
00
10
10
10
11
10
10
10
00
01
10
10
01
00
11
00
11
00
10
11
10
00
10
11
11
11
10
00
00
00
10
00
10
11
00
10
10
00
00
01
00
10
00
01
01
01
00
10
11
00
10
00
10
10
00
00
11
01
01
11
10
10
00
00
00
01
10
11
10
00
00
10
10
10
10
00
10
10
01
01
00
01
11
01
10
00
00
10
00
00
11
11
10
00
01
00
00
11
11
01
10
10
00
10
00
10
10
00
00
10
10
11
00
00
00
11
01
01
01
10
11
11
01
01
01
01
00
11
01
10
11
11
00
00
01
01
10
10
01
11
10
00
01
11
00
00
10
10
00
10
01
00
10
10
00
10
10
00
00
00
10
00
10
11
10
10
00
10
10
10
10
00
00
10
10
11
00
11
00
00
00
00
10
11
00
00
00
11
00
00
10
10
11
01
11
01
10
00
10
10
01
00
10
10
10
00
00
01
00
10
11
11
00
10
10
10
10
10
00
01
00
10
01
10
11
00
10
11
01
10
01
00
11
01
10
10
00
01
10
10
10
00
10
10
11
01
00
00
01
00
10
00
00
00
10
11
10
10
10
10
10
10
10
00
00
11
00
01
00
00
10
10
10
10
00
11
11
10
01
10
01
10
00
00
10
11
00
10
10
00
00
10
11
00
01
00
00
00
01
00
11
10
10
00
01
11
10
10
00
00
00
10
00
00
10
10
10
00
10
00
01
11
10
11
10
11
10
10
00
01
00
01
00
00
10
00
11
10
11
10
11
10
10
01
01
00
01
00
01
10
10
11
10
01
00
00
10
01
00
11
11
10
11
11
11
00
11
00
10
10
00
10
11
00
10
00
01
10
01
01
01
10
10
10
01
01
00
11
10
00
00
00
10
10
01
00
00
11
00
01
10
11
00
00
10
00
00
10
10
01
00
10
11
00
10
00
00
10
11
00
00
01
10
11
01
00
10
10
00
10
10
10
11
01
01
00
01
10
10
10
00
11
10
00
00
11
11
01
00
10
00
00
10
11
11
00
01
11
10
11
10
00
11
00
00
10
10
00
11
00
00
10
10
10
00
00
00
11
11
11
00
00
10
00
10
11
00
10
11
00
11
01
00
00
11
00
00
00
10
11
10
00
10
10
10
00
10
10
00
00
10
00
01
00
10
00
00
10
00
11
00
11
11
01
00
00
11
10
10
01
10
10
01
01
01
01
00
10
00
10
01
01
11
10
00
00
10
10
10
01
11
01
10
10
01
00
10
11
01
01
10
00
00
00
10
01
10
11
01
01
00
10
00
00
11
11
01
11
00
11
10
01
11
01
00
11
00
00
00
10
10
00
00
10
00
11
00
01
11
00
01
10
10
00
01
00
10
00
10
00
01
11
00
01
10
01
01
01
00
10
00
00
11
00
00
10
10
00
11
11
00
00
10
00
10
00
10
10
11
01
00
10
01
00
10
11
00
01
00
01
10
10
00
00
10
10
00
00
00
10
10
10
00
00
01
10
01
01
10
11
11
10
00
10
11
10
10
00
00
00
10
01
10
11
01
01
00
00
00
00
10
10
10
00
00
00
00
01
10
00
11
11
00
10
00
01
10
00
00
01
11
11
01
11
11
01
01
11
10
00
00
01
10
00
00
01
00
11
10
00
10
01
10
10
00
10
00
01
01
00
00
10
11
00
00
01
00
10
00
10
10
10
11
00
10
10
11
11
10
00
01
01
10
11
10
11
01
10
00
00
10
10
10
10
00
10
10
00
10
00
00
10
00
01
10
00
00
10
00
10
10
00
00
01
10
01
10
01
00
11
10
10
11
01
00
11
11
01
11
11
00
00
00
11
10
00
01
11
01
11
01
01
00
00
10
00
00
00
00
10
11
11
00
10
11
10
10
00
10
00
00
00
01
01
11
00
11
10
10
01
00
11
00
00
00
11
11
10
01
10
01
00
10
00
10
00
00
00
10
11
11
10
10
10
10
10
00
01
01
11
00
11
10
10
10
11
00
00
01
10
11
00
00
00
00
00
11
10
01
11
00
11
10
11
10
01
00
01
00
10
01
10
00
01
00
10
00
00
10
10
10
10
00
11
00
10
00
01
10
00
10
00
01
00
01
11
10
00
01
00
00
01
11
00
01
10
11
00
00
11
10
00
10
00
01
01
11
11
11
00
00
10
11
01
01
00
10
00
11
00
00
10
10
11
11
10
01
00
11
10
10
11
10
01
01
10
11
11
10
10
10
00
00
11
10
01
01
10
01
00
00
10
10
01
01
00
10
10
00
11
01
00
10
11
00
10
00
00
00
00
11
10
11
00
11
11
10
01
00
11
10
10
00
01
00
10
00
00
00
11
10
10
00
00
10
10
01
00
00
10
00
11
11
10
01
10
10
01
00
01
00
10
10
10
11
11
00
00
11
00
10
00
10
10
10
10
10
00
10
11
10
00
00
10
10
01
10
10
01
01
10
00
11
00
00
10
11
11
10
10
01
00
01
01
10
10
11
00
00
00
10
10
10
01
10
11
00
10
00
00
11
10
01
00
10
10
00
00
00
01
11
11
01
00
10
10
10
10
10
00
00
11
10
10
10
01
00
10
11
10
10
00
00
00
10
00
00
10
01
01
10
10
11
00
11
00
00
00
11
00
01
10
01
00
01
00
00
00
10
10
00
00
10
10
11
01
00
11
00
00
00
00
00
01
00
11
00
01
10
01
11
10
01
00
10
11
11
11
00
10
11
10
00
10
10
01
10
00
00
10
00
10
00
00
01
00
01
01
10
10
10
10
00
01
11
11
01
00
10
01
11
10
00
00
10
01
10
11
00
01
00
11
01
00
00
10
00
01
11
11
00
10
00
10
00
01
00
10
10
10
01
11
10
00
00
10
11
11
01
00
11
01
10
10
10
00
00
01
11
10
10
00
10
10
00
01
00
10
10
11
10
00
00
00
00
10
11
00
01
01
10
11
00
01
10
11
01
11
10
00
01
11
00
10
00
00
10
10
10
01
10
10
01
00
10
10
10
00
10
10
10
11
11
01
01
10
10
01
11
11
00
10
10
01
10
10
01
10
00
00
01
00
00
11
11
10
10
11
00
00
10
11
00
00
10
10
11
00
00
00
11
00
00
01
10
10
10
00
00
01
11
11
10
10
10
00
11
00
10
00
00
10
01
11
10
11
00
10
10
00
00
10
01
00
10
10
10
11
00
01
11
01
01
10
10
00
10
11
00
00
11
00
10
10
10
10
00
01
11
00
01
01
00
10
01
11
00
00
10
01
01
00
00
10
11
00
01
01
10
10
10
10
00
10
10
01
10
10
01
11
10
00
10
10
01
00
01
11
11
00
10
10
10
10
00
01
11
10
11
00
00
00
01
10
10
10
00
11
01
11
10
01
11
10
00
01
11
00
10
11
00
11
01
10
00
10
10
01
00
10
10
11
00
10
10
00
00
00
00
11
00
00
11
01
01
10
00
01
01
11
00
00
10
01
00
11
10
11
01
00
00
10
00
01
00
11
11
00
10
10
10
00
11
11
01
10
01
10
01
10
00
10
10
00
11
10
00
00
10
11
00
00
00
10
10
01
00
10
10
00
10
00
00
00
11
10
00
00
00
00
10
10
11
01
00
01
11
00
10
00
00
10
11
01
00
10
10
01
10
10
00
10
00
01
00
10
10
11
11
00
11
11
11
00
00
11
00
00
00
11
01
11
10
00
11
10
10
10
00
11
10
00
10
00
00
11
00
10
11
01
10
11
11
10
11
00
10
00
11
11
01
10
10
00
00
10
00
00
11
10
01
00
10
10
10
00
10
11
01
10
11
01
01
01
10
00
00
10
10
11
11
00
10
10
10
00
10
10
00
01
10
10
11
10
00
10
00
00
10
00
11
10
00
10
00
10
01
10
00
11
01
01
11
00
00
10
11
00
00
11
10
00
10
00
11
11
11
10
00
10
10
00
00
00
11
11
00
10
01
00
01
01
11
10
00
01
10
01
01
00
11
11
00
00
10
10
00
01
11
11
00
00
00
01
10
00
10
00
00
11
00
11
10
01
00
00
10
10
11
10
00
01
10
00
00
00
10
00
01
00
00
10
10
10
00
10
01
00
10
11
10
10
00
10
10
10
10
11
11
10
00
10
00
01
00
00
00
11
10
10
01
10
11
10
00
00
00
10
01
10
01
10
10
11
11
01
00
10
11
01
00
00
10
10
10
11
00
10
11
01
11
10
11
10
00
00
11
10
11
10
01
00
10
01
01
00
10
10
00
11
00
10
01
00
11
10
01
10
00
10
11
00
00
01
11
11
10
01
00
01
11
00
11
10
01
00
10
11
10
01
01
00
10
11
11
00
00
11
10
00
10
00
01
10
11
00
00
10
01
10
10
10
00
11
01
10
01
00
11
01
11
10
11
00
01
01
10
01
00
10
10
11
00
10
11
00
01
10
00
10
10
00
01
00
10
10
10
00
10
00
01
10
10
10
10
10
00
11
10
00
01
01
10
00
00
01
10
01
01
11
00
00
10
10
10
00
10
01
00
01
10
01
01
11
01
00
00
11
10
01
00
10
10
00
01
00
10
11
00
11
11
10
11
00
11
11
00
10
01
00
10
00
00
01
00
10
00
10
11
00
00
10
11
10
00
10
10
10
10
10
00
00
00
10
11
00
00
11
00
10
01
11
10
01
00
10
01
11
00
00
00
00
10
01
10
10
01
10
10
11
00
01
11
00
00
01
00
11
10
10
00
00
11
10
10
01
10
00
10
10
10
10
00
10
10
00
00
10
10
00
11
00
00
11
10
01
11
11
00
00
01
01
00
11
11
00
11
11
01
10
01
00
00
10
10
00
00
00
00
11
01
11
10
00
10
10
00
01
11
01
00
00
01
11
10
00
01
01
10
11
00
00
00
10
11
10
01
01
00
01
10
00
11
10
00
10
01
00
00
10
00
10
10
01
01
00
00
10
00
00
11
10
10
00
00
10
01
10
10
10
01
10
11
10
10
00
00
11
10
01
00
00
01
00
00
10
11
01
11
10
00
10
00
01
10
10
00
00
11
11
00
00
11
01
10
01
11
10
10
10
00
10
10
01
11
10
00
10
10
00
00
01
11
01
01
10
10
00
00
10
00
10
10
00
00
10
00
00
11
10
00
10
10
01
00
00
00
10
10
10
11
10
11
01
11
00
01
10
10
01
00
10
11
01
00
00
00
01
00
00
10
11
11
01
11
01
00
10
01
00
10
10
01
00
10
10
00
10
01
01
10
00
10
11
10
00
00
10
01
10
00
00
11
01
11
00
00
01
10
11
11
00
00
01
00
00
00
00
00
10
11
10
01
01
00
10
11
01
10
11
00
10
00
10
11
01
00
10
11
00
00
01
00
01
10
01
00
11
10
11
10
00
00
11
10
00
00
10
00
01
10
10
00
00
00
00
10
00
10
00
00
10
00
00
11
00
11
01
10
01
11
01
00
00
10
10
01
00
10
10
00
00
00
10
10
10
01
10
01
00
10
10
01
01
01
11
10
11
10
11
11
00
00
10
00
01
10
10
00
00
10
00
10
10
10
10
00
00
00
11
00
00
11
10
00
01
10
01
10
11
00
11
00
00
10
10
01
00
01
10
00
10
11
10
01
10
10
01
10
10
10
01
00
00
00
11
10
01
00
00
10
10
10
10
11
10
00
00
00
01
00
10
01
00
10
00
00
10
00
01
11
01
10
11
00
10
10
00
00
10
10
00
10
10
01
11
00
10
10
00
10
10
00
01
10
10
11
10
01
00
01
01
10
10
00
10
00
01
11
00
10
10
10
01
10
01
10
10
00
10
00
00
00
01
00
00
10
11
00
00
10
01
00
10
00
10
00
10
10
00
01
00
00
00
10
00
00
00
10
00
11
00
10
10
00
10
11
00
00
00
00
10
00
10
10
01
00
11
11
11
10
01
10
00
10
10
11
00
01
11
00
10
01
01
00
01
10
11
01
10
00
10
01
00
01
10
11
00
00
10
10
00
00
10
10
00
00
00
10
00
11
01
01
01
00
00
00
01
10
00
00
10
10
10
01
10
11
01
10
01
10
00
11
10
00
10
00
00
00
10
00
11
10
11
01
10
10
01
10
00
10
00
10
10
01
00
01
10
10
00
00
10
00
00
10
00
10
10
10
11
10
11
10
01
00
00
01
10
11
01
11
10
10
00
00
01
10
10
00
10
01
00
00
10
01
01
00
10
11
00
11
10
10
10
00
11
10
01
00
01
10
01
00
10
10
10
01
00
00
10
10
11
11
00
00
10
00
10
11
10
00
00
00
10
11
01
11
10
10
11
01
01
11
10
01
11
10
11
01
00
10
01
00
10
01
01
10
10
00
00
11
00
11
10
10
11
01
01
00
00
10
01
11
00
00
11
00
00
10
01
10
10
01
01
01
10
01
00
10
10
00
10
10
00
00
10
00
00
00
00
10
00
00
00
10
11
01
10
01
00
10
10
10
10
01
01
01
10
10
10
00
11
00
10
10
00
01
10
00
01
11
00
10
00
00
00
10
11
00
10
00
11
00
10
10
11
10
11
01
01
10
10
10
00
10
11
01
00
10
11
00
00
11
00
11
10
00
01
00
11
00
11
10
10
11
00
10
11
10
11
00
11
10
11
10
00
11
10
10
00
01
11
00
11
01
10
10
10
11
00
10
11
01
11
00
00
00
10
10
11
10
00
00
11
10
00
00
11
00
00
10
00
00
11
00
10
10
11
00
00
11
10
00
01
10
10
10
10
00
01
00
00
11
01
00
11
01
00
11
00
01
10
11
00
00
10
00
00
11
01
00
00
00
10
10
00
10
00
01
10
00
10
00
10
00
10
10
01
01
00
01
11
00
00
10
00
01
10
10
00
11
01
00
10
11
00
00
11
11
11
00
01
10
01
10
11
01
10
00
10
10
01
00
00
01
10
10
11
01
01
10
11
00
10
00
00
10
11
10
01
00
00
00
10
10
10
10
01
00
10
11
10
10
01
00
10
10
00
10
10
01
10
10
11
10
00
01
10
00
10
10
00
11
11
01
00
10
00
00
10
10
01
00
01
10
11
10
00
01
10
10
01
11
10
00
10
10
01
10
11
00
10
11
00
10
10
00
00
10
11
10
00
10
11
00
10
00
01
01
00
10
11
10
10
01
00
00
10
10
10
00
00
10
00
01
10
10
01
00
10
11
10
00
00
00
00
01
10
11
10
00
10
00
00
00
00
10
00
01
01
10
00
11
10
10
00
10
10
01
10
01
01
10
10
01
10
00
11
10
10
01
01
10
00
01
00
00
01
11
01
00
10
01
00
01
10
00
01
00
10
10
00
00
10
00
01
10
10
10
00
11
00
01
11
10
00
10
10
11
10
00
01
00
00
00
00
10
00
00
11
10
01
10
00
11
10
10
11
11
01
10
00
00
01
10
00
10
10
00
00
00
10
10
10
00
00
01
00
00
00
11
11
00
10
00
00
00
00
11
10
00
01
01
00
10
00
10
00
10
11
10
11
01
10
10
00
01
10
00
00
01
00
10
01
01
00
10
10
10
10
10
11
01
00
01
00
10
10
00
00
10
11
00
11
10
01
01
10
10
11
11
01
10
10
00
00
00
00
00
10
10
10
11
00
00
11
01
10
11
00
10
00
01
11
00
01
00
10
10
01
00
00
00
10
00
00
00
11
10
10
11
00
01
01
10
10
11
00
10
10
00
00
01
10
10
00
00
10
11
10
10
00
11
00
01
00
11
10
00
10
00
10
11
01
00
00
10
10
10
01
00
00
01
00
00
11
10
10
11
00
10
10
01
00
10
10
01
00
11
00
10
10
11
01
10
01
00
01
10
00
11
10
01
00
00
10
00
01
10
10
00
00
00
10
00
00
00
11
00
10
10
00
00
11
01
00
00
10
00
10
00
00
11
10
10
00
00
10
01
00
11
10
10
00
10
10
00
10
10
10
10
10
00
11
00
10
00
00
01
10
01
10
00
01
10
11
11
10
00
11
11
00
00
10
00
00
11
00
10
10
11
00
01
00
10
10
10
11
00
00
10
00
01
10
10
10
00
01
10
10
10
10
00
01
00
10
11
01
11
10
00
00
10
10
00
11
10
01
00
11
10
10
00
01
00
11
10
00
10
01
10
01
11
00
01
10
10
00
00
10
00
00
10
01
00
10
00
00
10
00
11
01
10
01
10
00
00
10
10
00
00
01
11
10
10
00
01
00
01
10
11
00
01
11
00
00
11
00
01
11
11
01
01
11
01
11
10
00
00
01
11
00
00
10
11
10
11
00
01
00
01
00
01
10
11
10
00
00
10
01
10
01
00
10
10
01
00
11
00
01
00
11
01
11
10
01
01
11
10
11
01
01
10
10
11
00
00
10
01
00
00
10
10
00
11
00
00
11
10
01
01
01
11
11
00
10
00
00
00
10
10
10
01
10
10
10
00
10
01
00
11
01
11
10
00
00
11
00
01
00
10
10
10
00
00
11
10
01
10
00
10
00
10
00
00
10
10
00
11
10
00
00
10
00
01
10
10
00
01
10
10
10
00
11
00
10
00
10
10
10
10
01
10
00
10
00
00
10
01
10
10
11
01
00
00
00
00
10
11
10
10
10
00
01
00
11
00
00
01
00
00
10
00
00
00
11
00
01
00
10
00
01
11
10
11
00
10
11
11
10
00
01
10
01
01
10
00
01
10
10
11
01
10
11
00
00
00
10
01
11
00
00
00
00
00
01
10
10
01
00
11
10
11
00
11
01
10
00
00
10
10
11
00
01
11
11
10
10
01
10
01
00
11
10
10
10
01
10
11
00
00
10
00
00
10
00
00
11
10
00
00
00
11
00
11
10
01
00
11
00
01
01
10
10
00
10
10
10
00
10
10
00
10
00
00
10
11
00
01
01
00
11
00
00
01
00
11
10
10
01
10
00
00
00
01
11
11
00
10
11
00
01
00
11
00
00
00
00
00
11
11
01
10
10
01
10
10
00
00
11
11
00
11
10
00
10
10
01
00
01
10
01
00
11
10
00
10
10
10
11
00
01
00
00
10
10
00
11
11
00
00
11
10
00
00
10
11
01
11
11
10
00
10
10
11
10
00
01
11
10
01
00
00
10
01
01
11
10
00
11
10
10
10
00
10
01
00
00
01
10
00
10
10
00
10
00
00
00
00
10
00
10
00
00
10
10
10
10
11
00
00
10
00
00
01
10
01
01
11
11
10
00
00
00
01
10
11
00
10
01
00
10
10
11
10
11
11
00
10
11
00
00
01
10
11
01
01
00
10
11
11
01
00
10
10
10
01
11
10
01
11
00
00
11
11
10
10
01
01
00
01
11
11
10
11
00
00
01
10
10
10
01
01
11
00
01
00
11
10
00
01
10
11
00
00
10
10
10
00
01
10
10
00
10
00
00
10
11
00
00
01
11
10
10
01
10
00
10
10
11
10
11
00
10
10
11
00
01
10
10
01
10
11
10
00
00
10
01
11
10
00
11
11
00
11
11
10
00
00
01
10
10
00
01
00
00
10
11
01
00
00
10
10
01
00
10
01
01
01
01
10
11
11
10
10
01
01
10
10
00
00
10
10
00
10
11
00
00
10
11
10
10
10
00
00
11
01
01
10
10
11
11
00
01
11
11
10
00
00
00
11
00
00
10
10
10
10
00
01
10
00
11
01
00
01
10
10
01
00
00
00
00
11
10
01
00
00
10
10
11
01
01
10
00
01
00
10
10
10
00
01
11
00
00
10
01
00
11
10
00
00
00
00
10
00
00
11
10
11
10
00
10
00
10
00
01
11
11
10
10
00
10
10
00
00
10
00
10
10
10
11
10
00
00
10
00
11
00
00
10
10
10
01
10
10
00
00
10
11
10
10
00
11
10
01
00
11
00
10
01
00
11
10
01
00
00
10
10
00
10
10
01
10
11
10
00
10
00
01
01
00
11
10
01
10
10
10
10
10
01
10
11
10
00
00
01
00
11
10
00
10
11
10
10
11
00
00
10
10
01
11
10
11
00
11
01
00
10
00
01
11
00
00
01
11
00
00
11
10
00
10
10
00
11
11
00
00
10
10
00
00
11
01
01
10
10
11
10
11
00
00
11
00
00
01
10
10
00
10
10
10
01
11
11
00
00
11
10
00
00
10
10
00
01
10
00
11
11
10
00
11
10
00
01
00
10
00
10
11
10
10
01
10
10
00
11
10
00
10
00
11
01
11
10
00
00
00
00
00
01
11
11
11
00
11
00
01
01
11
10
01
10
11
00
00
10
10
00
11
10
01
10
00
10
00
00
11
00
01
10
11
01
01
10
10
10
00
10
10
00
00
00
10
10
11
01
11
10
01
10
00
10
01
11
00
00
11
00
01
00
10
11
00
01
10
10
10
00
10
00
01
10
00
00
01
00
10
11
01
11
11
01
01
00
00
10
11
00
11
10
00
10
10
00
10
10
10
00
10
00
10
11
00
11
00
01
01
00
10
10
10
01
11
11
00
00
00
11
01
01
10
10
00
10
00
10
01
00
00
00
01
10
00
00
00
10
10
10
11
10
01
11
10
00
11
00
00
00
11
10
10
00
00
01
10
11
10
10
01
10
01
00
00
10
00
00
10
10
00
00
10
10
00
01
01
10
00
11
00
10
00
01
10
10
00
10
10
01
00
00
10
10
00
01
00
11
10
10
10
10
00
01
01
10
11
01
11
00
11
00
01
00
10
10
00
11
10
00
11
00
01
01
11
01
00
11
01
11
11
00
01
10
10
01
01
11
11
10
11
00
00
01
00
11
10
00
00
01
10
10
10
10
01
00
01
01
10
00
01
10
10
01
10
00
00
10
10
10
00
11
01
10
00
00
00
00
00
00
10
00
11
10
01
00
00
10
00
10
10
10
00
00
01
00
11
11
10
01
11
10
00
00
11
10
00
00
11
00
10
10
10
01
01
01
11
00
00
10
10
10
00
10
00
01
00
11
10
00
10
00
01
10
00
10
00
10
00
10
01
11
11
01
01
10
10
00
10
10
01
00
00
10
10
00
00
00
00
11
11
00
00
00
01
00
10
11
00
10
01
00
10
10
10
10
11
01
00
00
01
00
10
10
10
00
10
11
00
00
11
00
11
11
01
01
00
00
00
00
11
01
00
10
01
00
01
01
00
10
11
10
11
10
01
10
00
00
00
10
11
00
01
10
00
10
10
10
10
00
00
10
11
00
01
11
10
10
11
00
00
10
10
01
00
10
00
01
00
00
10
10
01
10
11
01
10
00
10
10
00
11
00
01
00
10
10
00
00
10
00
00
00
10
00
00
00
01
11
00
11
00
10
10
00
10
10
10
00
00
11
01
10
10
11
00
10
10
00
00
10
10
10
10
00
00
11
00
11
00
10
10
11
00
10
00
00
11
11
01
01
01
10
11
00
11
00
00
10
00
00
11
01
00
10
10
11
10
01
11
00
00
10
10
00
11
10
00
00
00
10
00
00
10
11
01
00
01
00
00
10
00
10
00
00
11
01
01
01
10
11
00
10
11
11
10
00
11
11
10
10
10
00
00
01
00
00
10
10
01
11
10
00
10
00
01
00
10
10
10
11
10
00
10
10
00
00
01
01
01
10
11
10
01
10
01
00
10
10
11
10
00
10
10
00
00
00
00
11
11
00
01
10
10
00
01
00
10
11
00
00
01
00
00
11
10
11
11
01
01
00
11
11
11
10
01
01
11
00
00
00
10
01
10
11
00
01
00
00
11
10
00
10
00
00
11
10
10
00
00
01
01
10
11
11
00
00
11
00
11
10
01
01
10
10
00
11
10
00
01
10
11
10
10
10
01
00
10
01
00
10
10
10
01
01
10
10
01
00
10
11
00
00
11
00
11
11
01
00
11
11
00
10
11
00
00
01
11
01
11
00
01
10
01
10
00
10
10
00
00
00
10
10
10
11
10
01
11
00
10
00
00
00
10
11
01
01
00
00
11
01
00
10
10
00
00
10
10
00
11
11
00
11
01
10
00
00
10
01
00
00
10
01
00
11
00
01
10
00
10
11
00
00
01
10
10
00
11
10
01
01
00
11
00
00
10
11
01
00
11
11
11
01
00
00
01
00
11
10
00
00
10
01
01
01
10
10
00
11
10
00
11
11
10
00
00
10
00
10
11
01
00
11
10
00
01
11
01
01
00
10
10
00
00
10
11
00
10
11
00
00
10
00
00
10
10
10
11
00
00
10
00
00
00
01
00
10
01
10
00
00
10
10
10
00
11
01
11
11
10
00
00
11
10
10
00
00
00
10
00
10
10
00
10
11
00
01
10
01
00
01
10
00
00
10
11
01
01
10
00
11
10
11
10
00
10
10
00
00
01
10
10
10
00
10
11
01
10
00
10
00
00
00
10
01
00
01
00
01
01
00
11
01
00
10
10
01
00
01
11
11
10
10
10
01
00
01
00
11
10
00
00
00
00
10
10
01
10
00
00
01
11
00
01
10
01
00
10
00
11
00
00
10
10
11
00
11
10
00
10
00
11
11
00
10
00
10
00
00
10
00
00
01
10
10
10
00
10
01
10
10
10
00
01
11
11
10
01
01
00
00
01
10
10
11
00
10
01
00
00
00
01
10
11
00
11
00
10
11
11
01
00
10
10
00
00
10
00
11
11
00
10
10
10
00
10
10
00
11
11
01
00
01
00
00
00
10
10
01
00
11
00
11
11
10
11
00
01
01
11
10
00
10
11
00
00
10
11
10
00
00
00
00
11
10
00
11
10
10
11
00
01
10
00
00
11
10
10
00
10
00
00
00
10
00
10
00
11
10
01
10
01
01
10
00
10
10
01
10
11
00
10
10
00
00
00
00
10
11
10
00
10
10
00
00
00
11
10
10
00
11
00
10
10
00
10
00
01
10
00
10
00
10
00
00
11
00
10
00
10
10
11
00
00
01
00
01
10
11
11
01
00
11
10
01
01
11
10
01
00
11
01
10
00
00
10
10
10
00
11
11
00
01
10
00
00
00
01
00
10
00
10
10
00
01
00
11
01
10
01
00
01
11
10
10
00
00
01
00
11
00
01
00
10
10
00
10
11
00
10
00
00
00
01
10
10
10
10
01
10
01
11
01
11
00
00
11
00
01
10
00
00
00
10
10
00
00
10
10
00
00
01
11
10
00
00
01
01
10
10
10
01
00
01
01
11
10
01
01
00
00
00
11
10
00
01
10
11
10
00
00
00
10
11
10
00
01
11
10
10
00
10
10
10
00
01
00
10
00
00
11
10
00
00
00
10
10
10
10
11
11
01
10
10
01
10
10
10
01
00
10
10
10
11
10
10
11
10
00
01
10
10
10
10
01
11
10
01
01
11
10
00
01
10
01
00
01
10
10
01
10
11
10
10
00
00
10
00
00
11
10
00
10
01
00
01
10
01
10
01
11
10
10
00
00
11
10
00
00
00
01
10
01
10
10
00
10
11
00
00
10
11
00
00
10
10
01
10
10
01
00
00
00
10
01
00
00
01
10
01
10
00
11
10
01
00
10
10
00
00
10
01
01
10
00
10
00
11
10
01
11
10
10
10
10
00
00
10
10
01
00
00
11
11
10
00
00
10
00
00
10
10
01
11
00
00
00
10
00
01
10
00
10
10
01
00
10
10
01
00
00
00
00
00
00
01
10
00
01
10
00
10
10
01
00
00
10
01
01
11
10
10
00
00
00
10
10
01
01
11
00
10
10
11
01
00
00
11
11
11
00
00
10
11
00
00
11
10
00
00
10
10
11
00
10
01
00
00
10
11
00
10
01
01
11
11
01
11
00
00
00
10
11
01
01
10
00
10
10
00
00
10
10
01
10
00
00
10
10
11
00
10
00
11
00
00
00
00
00
10
10
00
00
10
10
01
01
11
00
00
00
00
11
01
11
11
00
00
10
01
11
11
00
10
10
10
01
00
10
10
01
00
11
01
01
10
01
00
11
11
01
10
01
10
10
10
10
10
01
11
10
00
10
01
10
00
01
11
10
11
01
00
10
10
10
00
10
10
10
10
01
00
11
11
01
00
11
00
00
00
10
10
01
10
10
01
11
00
01
10
01
11
00
10
00
10
10
11
00
00
11
11
10
00
11
00
00
00
11
11
00
01
10
01
00
10
11
00
00
10
00
00
10
01
10
10
00
11
11
11
00
00
01
10
10
11
11
00
11
10
01
00
10
00
10
10
10
00
01
11
10
00
00
00
10
10
00
10
10
10
00
00
10
00
10
10
00
11
10
10
10
10
00
01
10
11
10
00
10
10
10
00
00
10
10
10
00
01
10
01
00
11
11
10
00
00
01
11
00
00
10
00
10
00
00
11
10
00
11
10
11
00
10
00
00
10
10
00
01
11
10
11
00
10
10
10
11
11
00
00
11
00
10
00
10
10
00
10
00
01
10
11
00
10
01
11
11
11
01
10
10
10
00
00
11
01
00
01
10
10
01
01
10
01
10
00
00
10
11
01
01
10
10
00
10
00
10
10
01
10
10
10
10
10
00
10
10
10
00
00
00
11
10
11
10
00
00
00
11
11
00
10
10
01
11
01
00
00
11
01
11
10
11
01
00
01
11
01
01
01
01
00
10
10
00
01
11
00
11
10
10
10
01
10
00
10
10
11
11
10
00
01
00
10
10
01
01
11
11
00
01
01
00
10
10
00
11
00
10
00
00
10
10
11
01
11
10
01
10
01
11
00
00
10
10
00
01
00
11
01
10
01
00
10
10
10
00
10
10
00
00
10
10
10
00
01
10
00
01
00
10
00
11
11
11
01
10
00
10
00
01
10
10
11
10
00
00
10
01
00
10
10
01
00
00
10
11
10
00
00
11
10
01
01
10
01
00
11
01
00
00
11
11
01
01
11
10
10
01
00
10
10
00
11
11
10
10
00
10
00
00
00
10
00
00
00
10
11
00
01
00
01
10
00
00
00
00
11
00
11
10
01
00
10
11
00
11
00
10
10
10
00
10
00
00
10
10
01
10
01
10
00
11
01
10
10
11
01
00
11
00
10
10
00
00
10
00
01
00
01
00
10
01
00
11
00
10
11
00
11
01
11
11
10
00
00
10
11
10
01
01
00
00
11
10
01
01
11
00
01
00
11
10
00
10
11
00
01
01
10
00
01
00
10
11
00
10
00
01
10
10
10
11
00
10
10
00
01
01
11
10
01
01
10
00
00
11
00
11
10
10
01
00
10
01
00
11
10
10
00
10
10
01
00
00
00
01
10
00
10
10
00
10
11
10
11
01
00
00
10
11
11
01
00
00
10
10
01
11
00
10
10
00
11
00
00
00
00
10
00
10
10
10
10
01
10
10
00
10
11
10
00
00
10
10
01
10
10
10
10
00
10
10
00
10
10
00
01
00
01
11
01
00
11
10
11
00
10
01
10
01
00
01
10
10
00
00
10
01
11
11
11
00
10
10
00
11
10
00
00
10
10
10
10
00
10
00
11
10
01
11
00
10
00
01
11
01
01
10
10
01
00
11
00
00
00
11
11
00
10
11
11
00
00
01
10
10
00
00
00
11
10
10
00
10
10
10
00
00
10
10
01
01
10
01
01
10
00
10
01
11
11
00
11
10
00
01
10
10
00
00
10
00
00
00
01
11
10
10
01
10
01
11
00
01
11
10
11
11
01
10
01
00
00
11
10
01
01
00
10
00
00
11
01
11
10
10
01
10
00
00
00
11
00
01
00
11
10
10
10
00
10
11
11
10
00
11
00
10
01
10
10
00
10
10
11
00
00
00
00
10
10
00
10
01
11
01
00
10
10
01
11
10
10
00
11
10
10
10
00
10
10
01
01
00
10
10
00
00
10
00
11
10
00
10
10
11
01
11
00
11
00
00
11
10
00
01
00
01
10
11
10
11
11
01
01
10
00
01
00
10
00
00
11
10
10
00
10
11
01
10
11
01
11
10
00
10
00
11
10
00
01
00
10
01
10
10
11
10
10
00
10
00
11
10
01
10
00
10
10
10
10
00
00
00
10
00
00
11
10
10
10
10
11
01
00
11
11
00
01
00
10
00
10
10
01
00
00
00
01
11
10
00
00
10
00
10
00
00
10
10
10
00
00
11
11
10
00
11
00
10
00
10
11
00
01
10
10
00
10
10
01
10
10
00
00
00
00
11
10
11
11
01
00
00
00
11
00
00
10
11
00
10
00
10
11
01
01
00
11
10
10
01
11
11
10
01
00
00
10
11
01
00
11
10
11
00
01
10
01
10
00
10
11
10
10
10
01
00
10
10
00
10
00
01
00
10
10
00
00
00
00
10
10
00
11
11
01
00
10
00
00
10
01
10
10
00
11
10
11
10
00
10
01
10
10
11
00
00
10
11
00
10
11
01
11
10
11
10
10
00
10
10
00
10
01
10
11
10
00
00
11
10
00
00
10
00
01
01
11
01
10
11
00
01
01
10
01
01
10
10
10
00
10
10
00
10
10
10
11
10
00
00
10
11
10
00
01
10
01
10
10
00
00
01
00
00
10
10
01
00
00
00
10
10
00
00
10
00
00
10
11
10
11
10
10
11
10
00
10
00
00
10
00
00
00
01
00
00
10
00
00
11
11
11
10
00
10
00
00
00
10
10
11
01
01
10
00
01
10
00
10
10
01
00
00
00
10
11
00
00
10
11
00
01
01
10
00
00
00
00
01
11
10
11
00
10
01
10
11
00
01
10
00
00
10
01
01
00
10
10
01
11
01
00
00
10
00
00
10
00
00
00
10
10
01
00
00
00
10
00
01
10
01
11
10
00
11
00
10
00
00
10
00
00
00
00
01
10
10
01
00
11
00
00
11
00
01
00
00
10
00
01
00
01
11
00
10
11
00
10
01
00
10
11
10
00
01
10
11
10
00
10
00
01
10
10
00
10
10
10
11
00
11
11
11
00
11
00
01
01
11
00
01
11
11
00
11
10
01
00
00
11
10
10
11
01
01
10
10
00
00
11
00
10
11
11
10
00
11
10
10
11
00
00
00
01
10
10
10
10
11
11
01
00
11
10
10
01
11
00
01
10
11
10
00
00
00
10
11
10
10
00
10
11
10
10
00
11
01
01
00
01
11
11
00
10
00
00
01
10
10
00
01
10
10
00
00
00
11
10
11
00
00
00
11
10
00
00
10
11
10
10
01
10
01
11
01
11
10
01
11
11
10
00
00
10
10
11
11
10
11
00
10
10
10
01
00
11
10
01
01
10
10
10
11
01
10
10
10
00
00
01
10
10
01
00
10
10
01
00
00
10
11
10
10
00
10
10
11
11
00
01
10
10
10
00
10
01
01
10
00
00
10
00
10
10
01
00
01
01
10
01
10
00
01
10
11
01
10
11
01
10
10
11
00
11
00
00
11
01
00
01
01
10
10
11
11
10
10
00
10
00
10
00
00
00
00
11
10
00
10
10
10
01
11
10
01
10
11
00
11
01
00
10
10
10
00
11
10
00
10
10
00
00
10
10
00
00
01
00
00
10
10
11
00
10
10
00
11
11
00
10
11
10
00
00
10
00
01
00
01
00
00
00
01
10
10
01
00
00
11
00
10
00
01
00
11
11
00
10
10
01
11
00
01
10
00
01
11
00
01
10
10
01
01
10
11
10
00
00
01
00
11
01
10
10
01
01
00
10
10
00
00
00
10
10
10
00
01
00
10
01
00
10
11
10
10
00
11
00
00
10
00
01
10
00
10
11
01
10
10
00
11
00
00
00
01
10
10
00
11
11
00
11
11
10
00
00
00
10
10
00
00
11
10
11
01
00
01
10
01
00
00
00
11
00
10
00
10
10
00
00
10
00
01
10
10
01
00
10
10
11
11
00
11
10
11
00
10
00
01
11
01
00
10
00
00
01
01
10
11
10
00
00
01
00
10
10
00
01
00
01
10
10
01
01
01
10
10
00
00
11
11
00
11
00
00
10
00
10
00
00
11
10
01
00
01
11
10
10
01
00
11
01
00
01
10
10
10
10
00
01
01
11
10
00
10
10
00
00
10
10
00
10
00
01
10
11
10
10
10
00
10
00
10
11
10
00
01
10
01
01
00
11
10
10
10
10
01
00
10
10
00
00
00
00
10
00
10
00
11
00
11
10
00
00
11
01
00
10
10
00
10
01
10
10
00
01
01
10
11
01
00
00
01
10
10
11
11
10
10
10
00
11
10
10
00
00
10
10
11
00
01
10
10
00
01
11
10
10
00
00
01
10
00
10
00
10
00
00
10
10
11
10
00
11
10
00
10
10
00
00
11
00
10
10
00
00
10
11
10
01
01
10
10
11
00
10
01
01
01
10
01
00
11
11
10
01
00
10
11
00
01
10
10
00
01
10
10
10
01
01
10
11
00
01
00
01
10
10
01
00
11
11
00
00
01
11
10
10
00
00
00
11
10
01
00
00
10
01
00
10
01
11
11
00
10
00
00
00
00
10
10
00
11
00
10
10
01
10
00
01
11
10
10
00
10
00
01
00
01
11
01
11
00
01
10
11
00
01
00
00
01
11
10
00
00
10
01
10
00
10
10
10
10
00
10
10
01
01
10
10
10
00
10
10
10
00
01
10
10
10
10
01
01
00
10
10
10
00
00
10
01
10
01
00
10
11
01
11
10
00
00
10
10
01
00
00
10
00
01
10
10
10
01
11
00
10
11
11
01
11
10
01
00
10
11
10
01
00
11
00
10
10
00
01
10
10
00
00
01
10
10
00
01
10
00
10
11
11
00
00
11
10
00
00
00
11
11
10
00
00
00
00
01
00
10
10
01
00
00
10
00
01
11
10
10
11
00
00
10
10
00
01
10
00
11
11
11
11
10
00
10
10
01
11
10
01
00
00
10
10
00
00
00
11
00
00
10
01
10
10
11
10
00
10
00
01
10
10
11
11
01
10
01
10
11
00
00
00
11
10
01
01
11
01
00
10
00
00
10
10
00
10
01
00
11
10
00
11
10
01
00
11
00
00
10
01
11
11
00
00
01
11
11
10
10
10
11
10
00
00
11
10
10
00
11
01
01
10
00
11
10
00
11
00
00
11
10
10
00
10
00
11
00
00
01
00
00
10
10
10
11
01
00
00
00
10
00
01
01
00
01
11
10
00
01
11
10
01
00
01
10
11
00
11
10
11
10
01
01
11
10
00
01
00
00
10
10
00
11
10
00
00
10
10
00
00
00
00
01
10
11
10
10
00
01
11
10
11
00
00
11
01
10
00
00
10
01
00
00
00
00
01
10
00
11
00
00
10
00
10
00
10
00
00
01
00
01
00
10
11
00
10
10
01
10
10
00
00
00
00
00
10
11
00
11
10
10
01
00
00
11
01
00
10
10
00
00
11
10
11
00
10
01
11
00
01
00
10
11
00
01
11
11
01
00
10
01
01
00
11
10
11
10
10
01
01
11
11
10
00
10
00
00
00
11
10
01
00
10
00
00
00
10
00
00
00
01
11
11
11
10
10
00
11
01
00
10
11
00
00
10
10
00
00
10
10
10
01
01
00
10
10
10
00
00
00
01
10
00
01
10
00
00
00
10
10
10
00
00
01
10
01
01
11
00
00
11
11
00
00
01
00
10
00
10
11
11
10
01
01
10
10
10
00
00
00
10
11
01
01
10
00
10
10
10
00
10
10
10
10
00
10
10
10
11
10
00
11
00
01
00
00
10
11
00
00
00
11
10
01
11
01
10
11
00
11
10
00
10
01
00
10
00
01
10
10
11
10
01
11
00
00
01
10
10
00
01
01
00
10
10
11
10
00
01
00
10
11
10
00
00
00
00
10
10
10
10
10
10
11
11
10
01
00
10
00
01
11
11
00
00
11
00
00
11
11
01
01
10
01
01
10
01
10
11
00
00
10
01
00
10
10
00
10
11
10
10
10
10
00
01
10
00
10
10
01
01
00
10
10
11
00
10
01
10
10
00
10
00
00
01
10
10
00
10
00
10
10
10
00
10
01
11
00
00
01
10
11
11
01
00
00
11
10
10
01
00
00
00
11
10
10
00
10
11
00
01
00
00
00
00
10
11
10
10
00
01
00
10
10
00
01
10
00
00
01
11
11
00
10
10
10
11
00
10
10
10
11
00
10
11
10
01
00
10
00
00
00
01
10
11
10
10
00
00
10
11
00
00
00
00
10
10
00
10
00
10
01
10
11
11
10
11
00
01
01
00
10
11
00
10
11
00
00
11
01
00
10
10
11
11
01
00
00
11
11
11
11
10
01
00
01
10
11
00
00
11
11
00
00
10
11
01
00
10
11
01
11
00
01
10
11
10
00
10
00
01
10
00
01
00
10
01
10
11
01
00
10
11
10
00
01
10
10
11
11
10
00
00
10
00
00
00
10
10
00
10
10
10
10
00
00
01
00
01
00
00
10
00
11
11
10
10
10
10
00
11
00
01
00
10
01
10
01
01
00
11
00
10
00
11
10
00
00
10
10
00
00
00
10
10
00
00
11
00
10
11
00
10
01
00
00
10
10
00
00
10
00
10
10
01
00
01
00
11
10
01
11
11
01
11
10
11
00
01
00
00
11
10
10
11
00
01
00
00
01
10
00
00
10
10
01
00
11
00
11
00
10
01
10
00
00
01
10
10
01
10
00
00
10
00
00
00
01
10
10
10
00
00
11
10
10
01
11
10
10
10
00
01
11
00
10
00
00
10
00
00
10
10
10
10
11
11
11
01
10
01
00
00
00
01
00
10
00
01
10
11
01
10
00
11
00
00
00
11
10
10
10
10
11
01
00
01
00
01
00
11
10
00
00
10
10
00
10
00
10
10
11
01
10
10
00
00
10
00
00
10
00
00
10
00
01
10
10
00
11
10
11
11
01
11
01
01
11
00
00
01
11
11
00
00
11
00
10
10
10
00
10
01
00
10
10
00
10
10
00
01
00
00
01
00
00
10
10
10
01
00
01
01
10
10
01
00
00
01
10
11
10
10
00
01
10
11
01
10
11
00
10
10
00
10
10
01
10
11
10
01
00
10
00
01
00
11
11
10
01
11
01
10
00
01
00
11
10
01
10
01
01
10
00
01
10
01
11
10
10
00
11
10
01
11
10
01
10
10
10
10
00
01
11
01
00
10
10
01
00
11
00
01
11
10
10
11
01
00
11
10
11
00
11
10
00
00
10
00
00
11
00
01
10
00
01
10
11
01
11
10
01
10
11
10
01
00
10
00
00
01
10
10
01
11
10
00
11
10
01
10
10
00
00
11
10
10
01
00
10
01
10
10
10
00
00
10
00
01
00
10
10
00
10
00
10
10
10
01
11
10
01
01
00
10
10
10
11
01
00
01
10
00
00
10
11
10
01
11
11
00
10
01
10
00
10
01
00
11
01
10
00
00
01
00
00
00
11
10
01
00
11
00
10
10
10
00
00
00
10
10
10
00
10
01
11
00
00
10
00
01
00
11
01
00
11
00
10
10
10
00
00
00
00
10
10
01
10
01
00
01
11
11
00
00
10
10
00
11
10
01
00
11
00
10
10
00
01
00
11
10
10
01
10
01
01
00
10
11
10
11
10
11
10
01
11
01
00
11
10
01
10
10
00
00
01
10
00
01
10
00
11
11
00
01
10
11
10
00
10
00
00
00
01
00
10
10
01
10
10
01
00
10
00
10
11
10
00
10
10
00
00
11
00
11
10
00
01
11
01
00
10
10
10
00
00
10
10
00
10
00
10
10
10
00
10
10
01
00
11
00
00
10
10
10
01
00
11
00
00
01
00
00
11
10
00
10
11
00
10
10
10
01
00
10
10
10
00
01
01
00
01
10
00
10
00
00
10
00
00
01
10
10
10
00
00
01
00
10
10
01
00
00
10
00
00
11
10
01
01
00
00
10
10
00
11
11
01
00
10
01
10
10
00
00
10
10
00
01
01
00
00
11
00
00
01
10
11
11
01
01
10
01
00
10
11
10
01
00
01
10
10
00
01
00
11
00
01
00
01
10
10
00
00
10
11
00
01
00
01
10
11
10
00
01
10
00
00
10
10
11
00
00
11
10
00
11
11
01
00
01
10
10
00
00
01
10
11
00
10
00
11
00
00
01
11
10
01
10
00
01
10
10
00
00
10
00
01
00
01
10
10
10
10
00
11
00
00
00
10
00
00
01
00
01
11
10
10
01
10
00
01
11
11
00
00
11
00
00
00
11
10
10
10
01
01
11
11
00
11
00
10
01
11
10
11
10
00
00
10
10
01
01
10
11
10
11
00
00
00
10
00
00
00
11
01
00
11
10
10
00
11
00
00
10
11
10
10
10
00
10
01
00
10
00
10
00
10
10
00
00
10
11
10
10
01
10
00
01
00
10
01
01
10
00
01
00
00
01
01
00
10
10
10
10
00
00
01
11
00
11
00
10
01
10
11
00
10
10
10
00
11
00
00
00
01
10
00
10
11
10
11
10
01
01
10
00
01
00
11
10
10
10
01
00
01
00
00
10
11
01
11
00
00
00
00
00
10
10
00
11
10
00
10
10
11
01
00
10
00
10
11
10
01
11
11
10
11
01
01
10
00
10
10
01
00
11
11
01
11
01
00
11
11
11
00
01
10
10
00
00
01
10
10
00
11
10
01
11
10
00
11
11
11
01
01
10
00
00
10
10
00
00
01
10
11
00
00
00
00
10
01
01
10
11
10
10
10
00
01
00
11
10
10
00
00
01
10
01
00
00
10
01
10
10
00
01
10
10
10
00
00
10
00
01
00
10
11
11
10
00
00
10
10
10
00
00
11
01
11
11
01
10
00
01
00
10
10
10
00
10
01
00
11
11
00
01
00
00
10
00
11
10
11
00
00
00
11
00
10
10
00
11
10
00
00
10
10
01
00
10
10
10
11
11
11
00
01
00
11
10
00
01
11
11
01
10
11
10
01
11
11
10
01
11
00
11
01
00
10
10
10
10
00
00
00
10
10
10
01
00
10
11
11
01
10
00
00
01
11
00
11
10
10
10
00
00
10
00
00
10
10
11
00
11
10
11
10
01
10
10
01
00
00
10
10
00
10
10
10
00
01
11
11
11
00
10
00
00
10
10
10
01
00
11
00
01
10
00
00
00
10
10
11
00
00
11
01
11
10
00
01
00
11
11
00
11
10
10
11
10
01
00
11
00
10
00
00
01
10
00
00
10
11
10
01
11
00
00
00
10
10
01
10
01
10
10
10
00
00
10
11
00
10
00
11
11
10
01
00
11
00
10
11
01
00
11
00
01
01
11
10
10
00
10
10
01
00
10
10
10
00
00
10
01
11
10
10
01
11
00
11
10
10
10
10
00
00
10
00
01
10
10
10
01
00
00
00
00
11
00
00
10
10
01
10
11
01
01
01
11
10
11
10
00
10
10
00
00
11
11
00
01
10
00
10
10
10
10
01
11
01
10
11
01
00
00
11
00
01
10
10
00
01
10
10
10
10
10
01
00
00
00
11
10
01
00
00
11
01
10
01
10
10
10
10
10
00
01
10
10
10
00
10
10
00
00
11
10
00
01
10
11
10
10
10
00
00
01
10
10
00
00
00
00
00
00
00
10
00
11
01
00
10
11
00
10
00
00
00
00
10
11
11
01
00
11
00
00
00
10
01
00
10
00
11
00
10
00
10
11
10
01
00
11
00
11
11
10
11
00
01
00
00
10
01
11
10
11
10
00
00
00
00
00
11
11
11
01
10
00
00
11
10
10
00
00
01
11
01
01
10
01
00
10
10
10
00
00
10
11
10
10
10
01
00
00
00
01
00
10
00
11
00
01
00
01
01
01
01
11
00
00
00
11
11
00
10
11
00
10
10
11
00
00
11
11
00
10
00
00
11
10
00
10
10
00
00
01
10
11
10
00
00
00
00
01
10
10
00
10
10
01
10
11
10
01
11
10
00
00
01
10
00
00
01
00
01
10
10
10
01
10
11
00
00
11
11
00
01
10
10
10
00
00
01
10
00
10
10
00
00
01
10
00
00
00
10
10
01
00
10
00
00
11
10
00
01
11
01
10
10
00
00
01
10
10
00
01
10
10
11
11
11
00
10
10
00
00
00
00
10
00
01
00
00
10
10
11
11
11
00
10
10
11
11
00
10
00
00
10
10
11
01
00
10
00
00
10
11
10
10
00
10
00
11
10
00
01
00
10
10
01
11
11
10
10
00
00
00
10
00
00
00
01
01
10
11
01
11
11
01
11
10
11
00
11
10
00
00
10
10
00
01
10
10
00
01
10
11
10
01
00
11
00
10
10
00
10
11
11
00
00
00
00
10
00
00
01
00
10
10
10
10
10
00
01
00
01
01
00
10
01
11
10
11
01
01
00
10
00
00
00
11
10
00
11
00
01
11
00
10
00
11
10
00
00
10
11
10
01
00
00
10
11
01
10
10
11
10
00
11
00
11
10
10
01
00
10
01
10
11
00
00
00
10
00
10
10
10
10
00
01
11
01
00
01
10
11
10
00
01
11
00
10
10
00
00
01
00
10
10
00
00
11
10
01
11
10
10
11
00
11
00
00
10
00
10
11
01
00
10
01
01
00
00
01
01
10
01
10
00
10
11
01
10
10
00
10
00
10
10
11
10
01
10
10
00
00
10
00
00
10
10
10
11
00
00
10
01
01
01
10
10
10
00
11
11
11
00
00
01
00
10
10
00
11
00
01
00
00
10
10
11
01
10
11
10
10
01
01
01
10
00
01
10
10
01
00
11
10
00
01
10
00
00
01
11
11
11
11
00
11
00
00
11
01
00
10
10
00
01
00
01
11
00
00
10
00
10
10
10
01
01
10
01
01
00
10
00
00
00
10
11
10
11
10
00
01
10
00
00
01
10
01
10
01
10
00
00
10
11
00
10
10
00
10
01
00
11
11
00
10
10
01
00
10
10
00
10
01
00
10
00
10
10
00
10
01
01
01
01
11
00
10
00
00
10
11
00
01
00
00
01
11
00
11
01
00
10
00
01
00
10
10
01
00
00
11
11
00
00
10
11
10
00
01
10
01
11
10
00
10
11
01
00
11
01
00
11
10
10
10
10
00
10
01
00
00
10
10
10
00
10
10
11
10
00
00
01
10
10
01
11
00
01
10
10
10
11
01
11
10
11
10
01
00
01
11
00
11
10
00
00
10
10
01
00
10
00
00
11
10
11
11
10
10
00
00
00
11
10
10
10
00
10
10
10
00
00
10
00
00
00
00
01
10
11
00
01
10
10
10
01
11
10
00
01
11
11
10
00
01
01
01
11
10
00
00
10
10
01
11
10
11
00
11
00
00
00
00
00
11
00
00
00
00
10
10
10
00
10
00
01
11
00
01
10
11
01
10
00
10
00
00
00
10
10
00
10
11
10
00
10
11
00
11
01
00
00
10
11
11
10
01
00
00
01
01
11
10
00
00
10
00
00
10
10
00
01
01
11
11
00
10
10
10
10
00
01
10
10
11
00
01
11
11
01
10
10
11
10
01
00
00
00
01
11
10
11
10
00
00
10
00
10
00
10
11
01
01
00
10
10
10
10
00
10
10
00
01
10
10
00
00
11
10
11
10
10
00
01
11
11
11
00
00
10
10
00
00
01
10
11
10
10
00
00
11
01
00
11
00
00
00
01
10
10
01
00
01
01
10
00
10
10
00
11
10
11
01
00
11
00
11
10
11
00
11
00
01
11
00
10
10
10
00
01
11
11
11
10
00
11
11
00
00
01
10
00
01
10
10
11
10
01
10
11
00
01
10
11
10
10
00
01
00
11
10
00
10
10
10
10
00
00
00
00
11
10
11
00
00
10
01
00
11
01
11
01
00
11
10
00
00
00
11
11
00
00
11
10
00
11
00
00
11
00
10
10
00
10
11
00
01
00
01
10
01
00
00
10
00
00
11
00
11
10
11
10
01
10
10
10
00
00
10
00
10
01
00
10
10
00
11
01
01
10
01
10
11
00
00
01
11
01
00
00
10
10
01
00
11
00
01
10
00
10
10
00
00
00
11
10
10
00
00
10
01
10
10
10
00
10
11
00
00
00
10
01
10
01
01
01
00
10
11
10
00
00
10
10
00
00
01
00
01
10
10
01
00
01
10
01
00
00
00
01
01
01
01
10
00
01
00
11
01
00
11
00
00
10
00
01
10
10
01
10
10
10
00
00
00
10
00
00
11
10
11
01
11
01
01
01
11
10
00
11
10
10
00
00
10
11
00
00
10
10
00
00
10
11
10
01
11
10
00
10
00
11
10
01
11
10
01
00
01
00
10
10
10
00
00
10
10
10
00
01
00
00
00
10
10
01
10
10
10
00
01
11
10
11
00
00
00
11
11
10
11
00
00
10
01
01
10
10
00
01
11
11
00
01
00
10
00
10
00
00
10
10
10
10
00
01
00
00
00
10
01
10
10
10
11
00
10
00
01
01
10
00
10
10
00
01
10
10
00
00
00
00
10
10
01
10
11
00
00
10
10
00
00
01
10
01
10
10
01
10
00
10
10
11
00
00
10
00
01
10
01
00
10
10
00
10
01
10
10
11
11
10
10
00
11
00
11
11
01
00
00
10
00
10
10
11
00
01
10
00
00
10
10
00
00
00
00
10
10
10
10
11
00
01
10
00
10
00
10
00
01
00
10
10
11
00
01
11
00
11
10
00
00
00
10
11
10
00
10
10
01
01
11
10
00
00
00
00
00
10
00
00
10
00
10
00
11
01
00
00
00
11
10
01
00
10
10
10
00
01
00
10
10
10
00
01
11
10
01
10
01
10
10
10
11
10
00
00
10
00
00
00
11
11
01
11
01
11
00
11
00
00
11
10
01
11
11
00
00
10
11
00
00
00
11
01
11
00
00
00
01
01
01
00
11
01
11
01
00
00
11
00
10
11
10
01
00
10
00
00
10
10
11
00
00
11
00
10
11
10
00
00
00
11
11
00
10
01
00
10
00
00
01
00
00
01
11
10
01
01
11
00
01
10
10
10
11
00
00
10
10
10
01
11
11
00
00
11
00
10
10
10
00
00
11
10
00
10
10
10
00
00
00
00
10
11
01
10
00
11
01
00
10
10
10
10
00
00
00
00
00
00
01
10
10
00
00
10
01
10
11
01
11
00
10
00
00
00
01
10
11
11
10
00
00
01
00
11
10
10
10
10
10
00
10
11
10
00
00
10
10
01
10
10
10
00
10
11
00
00
10
10
10
11
10
11
00
11
00
01
10
00
00
01
11
10
10
01
01
10
01
00
11
10
00
10
01
00
11
00
01
10
00
00
11
11
10
00
11
01
00
10
11
01
10
10
00
10
10
10
01
00
00
10
10
00
01
00
10
11
11
11
11
00
10
01
00
00
01
11
10
00
00
10
00
01
11
10
00
10
00
00
10
00
10
10
10
00
01
11
11
01
01
01
01
10
10
10
10
11
01
00
10
11
11
00
01
11
00
01
10
01
10
10
01
00
00
10
10
11
00
01
00
00
01
10
10
11
11
00
10
00
01
11
11
00
00
10
01
10
10
00
01
00
10
10
10
11
01
10
10
10
00
10
00
10
00
01
00
00
10
10
00
01
10
10
10
01
00
10
11
00
00
11
10
11
00
00
11
00
10
01
10
10
00
10
00
00
10
00
00
10
01
01
01
01
10
00
10
10
10
10
01
00
10
11
00
00
10
11
10
10
10
10
01
11
11
00
11
10
10
10
00
00
00
10
10
01
10
01
10
10
10
10
10
10
00
01
00
10
00
11
11
00
01
10
10
00
10
10
00
00
11
10
10
00
11
11
01
11
01
01
10
01
10
01
01
11
11
01
00
10
00
00
10
00
00
10
11
11
00
01
10
10
01
01
10
00
11
10
01
00
01
10
00
00
11
00
00
01
10
01
01
00
10
10
01
11
10
10
00
00
01
10
10
11
00
01
00
01
10
11
11
00
00
11
01
00
01
10
00
10
11
11
11
10
01
00
10
00
10
10
11
00
00
01
00
01
00
00
00
01
11
10
00
11
10
01
11
00
10
00
10
00
01
10
11
00
00
00
00
01
00
10
10
10
01
01
00
11
01
01
00
00
11
10
11
01
00
11
10
00
00
11
11
00
10
11
00
01
10
01
01
10
10
00
01
01
10
10
10
11
00
01
10
00
00
10
00
10
00
01
01
11
00
10
10
00
10
10
11
01
10
11
10
00
01
10
01
00
10
11
00
00
10
00
10
11
00
11
11
10
10
00
10
00
10
10
11
00
01
00
00
10
01
00
10
10
10
00
01
01
10
10
00
01
10
10
01
00
00
10
11
00
10
01
10
11
00
10
10
00
00
00
10
10
00
00
01
00
11
11
10
01
10
10
10
00
00
00
10
00
00
01
11
11
10
10
11
10
01
10
10
00
00
00
10
01
01
01
01
00
00
10
11
00
00
10
10
00
01
00
10
10
11
00
01
10
10
00
10
10
00
11
10
10
10
00
01
00
11
00
01
10
00
01
11
11
00
10
10
11
10
00
00
00
11
10
00
11
01
11
10
00
00
10
01
00
10
10
11
00
01
00
10
01
01
10
11
00
00
10
00
11
10
10
01
10
11
00
00
11
10
10
00
01
11
10
10
10
01
00
10
00
01
10
00
00
10
11
01
11
10
00
10
00
00
10
10
01
00
10
11
01
11
01
00
00
00
01
10
00
10
10
00
00
01
10
01
10
10
01
01
01
00
10
11
10
10
01
00
11
10
01
00
10
10
10
00
00
10
00
00
11
10
11
10
00
00
11
00
10
10
00
01
01
01
11
11
00
10
11
11
01
01
10
01
00
11
10
01
00
10
00
00
00
10
10
11
00
10
10
01
10
10
00
00
11
10
00
00
00
11
10
10
11
00
00
00
00
10
11
01
00
01
10
00
00
10
10
10
00
00
00
01
11
10
01
11
00
01
00
00
10
01
01
00
11
11
11
00
10
10
00
11
00
00
10
00
11
00
00
00
11
10
10
00
00
10
10
11
11
10
00
00
11
00
10
11
00
00
01
10
10
10
01
11
00
01
11
00
10
01
01
10
10
00
10
10
00
01
11
00
01
01
11
00
11
11
01
10
10
11
00
01
11
10
01
00
10
10
00
00
10
01
10
10
01
10
10
11
11
01
10
00
10
10
00
10
01
01
10
00
00
00
11
10
10
01
00
10
11
10
00
01
10
10
11
00
00
10
01
00
01
00
00
10
01
01
11
11
10
10
10
00
00
10
00
10
01
00
01
11
11
10
10
01
10
10
01
11
00
10
10
01
11
01
00
11
00
11
10
10
00
10
11
01
00
11
11
11
10
10
01
00
00
10
00
00
11
10
00
11
00
11
11
10
11
00
00
10
00
11
00
10
10
11
10
01
10
00
00
00
00
00
00
10
00
11
10
11
01
00
11
01
10
10
01
00
00
10
10
10
10
00
01
00
10
10
10
00
10
11
00
11
11
01
10
01
01
10
10
00
11
01
10
10
00
00
00
11
10
00
01
00
10
01
01
10
10
11
01
10
10
10
01
00
11
10
11
10
01
10
11
00
10
01
01
10
10
11
10
01
11
10
11
10
00
01
00
10
01
11
11
10
01
10
11
10
00
10
11
11
00
00
10
10
11
11
01
00
00
01
10
01
10
10
00
00
11
00
00
10
00
00
10
01
10
01
10
10
00
11
00
00
01
10
00
01
00
01
10
11
10
10
11
10
01
00
00
11
00
00
10
11
00
10
00
11
10
00
00
10
10
11
00
00
00
00
00
00
10
10
00
00
10
00
00
10
00
00
11
10
00
01
00
00
10
01
10
00
00
10
00
10
11
00
11
10
10
00
11
11
00
00
00
10
01
10
10
11
00
01
00
01
00
00
10
01
00
10
00
11
10
11
00
01
11
00
11
00
11
10
00
00
10
10
00
00
11
00
01
11
01
01
10
11
10
10
10
00
01
10
00
01
10
11
00
10
10
10
10
10
01
00
10
01
00
11
01
10
00
10
01
00
10
10
10
10
10
00
00
00
10
10
10
00
10
11
00
00
10
00
11
10
00
01
11
10
10
11
00
11
01
01
00
11
11
01
11
00
11
00
01
10
10
10
00
01
00
11
10
00
00
10
10
00
11
10
10
11
00
10
00
01
00
10
01
10
01
00
10
10
11
00
11
00
10
01
00
10
11
00
00
10
01
10
00
10
00
00
00
00
00
00
00
00
11
00
01
01
00
10
00
01
00
00
00
10
01
10
10
00
11
10
00
10
11
10
10
11
11
11
00
00
00
01
01
00
10
01
00
11
11
10
00
10
11
00
01
11
10
10
00
00
10
10
01
10
11
00
00
10
00
00
10
10
11
00
00
01
11
00
00
11
00
01
10
10
10
11
00
11
11
00
00
10
11
10
00
00
01
11
10
00
00
10
01
00
00
11
01
10
10
00
01
00
11
10
00
00
10
01
10
11
11
10
00
00
01
11
01
00
10
10
10
11
00
00
10
00
00
00
10
10
10
01
00
11
00
11
00
11
01
00
11
11
00
10
10
01
10
11
10
00
00
10
11
10
10
01
00
00
10
00
10
00
10
00
10
00
10
11
10
00
01
11
01
00
01
01
10
10
10
01
00
00
11
10
00
00
10
10
00
11
11
00
00
01
11
11
00
01
00
10
10
00
11
11
10
01
10
11
00
11
00
01
01
00
00
11
00
00
00
10
00
11
11
10
10
10
11
01
10
10
00
11
01
01
00
10
10
11
00
01
01
10
10
10
10
00
00
11
01
10
10
11
10
00
10
01
01
11
11
00
10
11
10
10
01
00
11
11
01
00
01
10
10
10
01
01
11
01
00
00
10
00
10
00
01
10
11
00
01
11
11
01
11
11
10
10
01
00
11
11
00
01
00
10
10
01
11
10
01
00
10
01
10
10
10
00
00
00
10
10
11
00
10
10
11
10
00
11
00
01
10
00
00
11
10
11
11
00
11
10
00
00
00
10
00
00
10
00
10
10
11
10
01
00
00
10
01
10
11
00
01
01
00
01
11
11
01
01
10
11
00
01
01
11
10
00
11
10
01
00
10
10
10
11
10
10
00
11
00
01
00
00
10
11
00
00
00
10
10
10
10
00
00
10
10
10
00
01
01
00
00
10
10
00
10
10
00
10
11
10
01
01
00
10
00
00
10
00
11
11
11
11
00
11
01
00
00
00
11
01
01
10
01
11
11
11
11
10
00
00
10
10
11
00
01
01
00
01
01
00
10
10
00
10
10
00
10
10
11
00
00
10
00
10
00
10
00
00
01
10
10
11
11
10
10
10
11
10
00
00
10
00
01
10
00
01
10
10
01
00
10
11
00
10
10
00
00
00
01
10
10
11
01
11
00
11
00
00
10
01
11
00
00
10
00
00
01
00
11
01
00
10
10
10
00
00
10
01
01
00
01
10
00
00
01
10
10
11
11
00
10
10
10
10
00
00
01
00
10
01
10
10
11
10
11
11
11
01
10
01
10
00
00
11
10
00
00
10
10
01
00
11
11
00
00
00
11
10
10
01
00
00
10
10
11
10
01
11
10
10
10
10
01
11
10
00
00
10
10
00
00
00
10
11
00
11
10
01
11
11
11
10
00
00
01
10
00
00
11
10
10
00
00
00
00
10
11
00
00
11
10
10
01
11
11
00
00
10
10
10
00
00
10
10
00
10
01
10
00
01
10
10
10
10
10
11
11
00
00
11
11
00
10
10
00
00
10
00
10
01
00
11
00
11
11
10
11
00
01
10
11
00
00
10
11
10
01
10
10
00
01
01
10
01
00
11
10
10
00
01
01
10
10
01
11
10
00
10
11
10
01
10
01
10
10
00
10
10
00
10
11
01
01
00
10
00
01
00
10
10
00
00
10
11
00
11
10
10
10
00
01
00
00
11
10
11
00
00
11
00
11
00
10
11
00
01
01
00
10
00
10
10
10
01
10
10
11
00
10
10
11
10
11
00
00
01
11
01
10
01
11
10
10
10
00
00
11
10
10
00
10
00
00
01
11
11
10
01
10
10
00
10
11
00
00
10
10
00
11
01
00
00
11
00
11
10
10
01
00
10
10
10
00
01
10
00
11
00
00
00
00
01
10
11
10
10
00
01
00
00
01
10
01
00
10
00
00
10
11
10
11
10
00
00
10
00
11
11
00
00
10
00
11
00
10
10
00
00
00
10
10
10
00
01
10
01
10
00
00
00
00
00
01
11
11
11
01
00
10
10
00
10
10
10
00
11
10
10
00
00
00
10
11
01
00
01
00
00
00
01
00
00
10
10
10
00
00
00
11
01
10
00
00
11
10
11
01
00
10
10
10
10
00
00
00
00
11
10
00
00
10
00
10
11
00
01
01
10
00
11
01
10
10
01
00
11
11
11
00
00
10
00
01
10
00
10
11
00
00
11
10
10
11
01
01
10
01
10
11
00
10
11
00
10
00
10
10
00
10
00
00
10
10
01
01
01
10
10
00
00
00
11
10
00
11
00
10
10
00
00
00
10
10
10
00
01
00
00
00
10
10
11
10
01
10
10
00
11
10
11
11
00
10
00
01
00
10
11
01
00
10
11
00
10
00
00
11
10
10
01
00
00
10
00
00
11
10
10
10
11
11
01
00
11
11
00
00
01
10
01
00
10
10
01
00
00
10
11
10
10
10
00
01
00
01
00
11
01
10
00
00
11
10
00
00
00
00
10
00
10
11
11
11
00
11
00
01
01
10
10
11
10
10
01
00
00
10
11
11
11
00
01
11
11
11
00
10
11
00
00
10
10
00
11
00
00
10
10
10
10
10
00
10
00
00
11
00
01
00
00
00
10
11
10
11
01
01
00
11
11
10
00
01
10
11
00
01
10
11
11
00
10
11
00
00
00
10
11
00
00
11
10
01
10
10
00
00
11
00
00
11
10
00
11
10
00
01
10
10
10
00
10
10
10
00
10
11
01
10
01
10
11
01
10
10
00
00
10
00
10
01
10
11
00
11
01
10
10
11
01
11
10
01
01
00
01
10
10
00
00
10
00
10
11
00
00
00
00
10
00
10
10
10
00
11
11
00
00
00
00
10
11
01
00
10
10
11
10
10
00
00
10
01
00
00
00
10
01
00
11
10
11
01
00
01
10
01
00
10
11
10
01
00
10
11
10
10
00
00
10
00
00
10
01
10
01
01
00
11
11
00
10
00
10
10
01
01
11
11
10
10
10
11
00
00
10
10
11
11
10
01
11
11
00
11
00
10
00
00
11
11
11
00
00
01
10
11
10
11
00
00
10
00
10
11
01
00
00
11
10
10
11
01
00
00
00
01
10
01
10
11
10
00
00
10
00
00
01
00
10
10
11
00
00
01
11
10
11
01
01
00
11
01
00
00
10
10
01
11
11
10
10
00
01
10
10
00
00
11
10
01
00
01
10
11
11
11
00
00
10
11
10
01
11
00
00
11
10
10
00
10
00
00
10
10
01
00
11
00
01
00
00
10
01
01
10
00
01
00
11
00
10
11
11
01
00
10
11
00
00
00
00
10
10
00
10
10
01
11
00
00
10
00
10
10
01
01
00
11
00
10
10
11
10
00
10
10
00
00
01
00
10
10
00
01
00
00
10
10
00
11
00
01
10
10
00
01
00
10
00
00
10
01
11
10
00
11
00
10
10
11
10
10
10
00
01
00
01
00
10
10
00
00
10
00
00
11
11
01
10
00
11
00
00
00
00
10
01
01
10
10
10
11
00
11
01
10
11
00
11
00
10
11
00
01
11
10
01
00
00
01
11
10
00
00
10
10
10
00
01
10
10
10
10
10
10
00
10
10
11
00
01
10
01
00
00
00
01
10
00
10
11
01
00
01
00
11
10
10
00
00
10
10
00
01
10
00
10
10
10
00
01
00
10
11
00
01
10
10
00
11
11
11
11
00
10
11
01
10
00
00
01
10
10
00
01
01
11
10
10
00
10
10
01
01
00
10
10
00
00
10
00
00
10
00
00
10
01
10
01
10
01
10
00
00
11
01
10
10
01
10
00
10
00
10
10
10
00
01
11
01
11
00
00
10
10
00
10
10
01
10
01
01
10
11
10
11
00
01
10
00
10
10
01
00
00
10
10
10
10
10
00
01
00
11
10
10
10
00
00
00
01
10
01
10
00
00
10
01
00
10
00
00
10
11
01
00
10
10
01
00
01
01
10
00
01
10
10
10
00
00
00
10
10
01
10
10
10
01
10
01
01
10
00
00
00
11
11
00
00
10
10
11
01
11
01
10
01
10
00
11
11
01
01
10
10
00
10
00
00
00
00
11
10
00
01
10
11
10
11
01
10
10
00
10
11
10
00
01
11
01
01
10
00
01
10
10
00
10
10
11
00
00
10
00
00
10
10
00
11
01
11
11
00
01
10
10
10
10
11
00
00
10
00
10
11
10
11
10
00
00
00
10
10
11
01
00
00
01
01
10
01
01
11
11
00
00
10
10
11
00
00
10
01
01
11
00
01
10
11
11
00
11
10
10
01
10
11
01
00
10
00
00
10
10
00
00
11
00
00
00
00
10
10
01
11
10
00
10
00
01
00
11
10
00
10
00
01
01
01
11
01
00
10
10
00
10
01
01
00
10
11
10
00
00
01
11
10
00
10
01
00
01
10
11
11
10
00
00
00
01
01
00
10
11
01
01
10
11
00
10
10
10
00
00
10
11
10
00
00
00
00
11
00
11
10
00
01
00
10
10
11
00
10
10
00
11
01
00
11
11
00
10
10
01
00
01
10
01
10
10
00
10
01
01
10
11
01
00
10
00
00
10
00
00
10
10
01
01
10
00
11
11
01
10
00
00
01
01
10
11
10
00
10
01
00
01
01
10
00
01
00
10
10
01
10
11
01
10
00
10
10
11
10
01
10
11
10
10
01
00
00
11
11
01
10
10
00
01
10
10
00
00
00
00
10
10
00
00
10
10
01
00
00
10
00
11
10
00
00
10
00
00
10
10
10
01
10
10
00
00
10
10
00
00
01
00
00
10
10
10
10
10
01
00
10
00
10
10
11
10
10
00
00
10
10
11
00
11
00
10
01
10
11
00
10
00
10
10
00
01
10
00
10
10
10
10
00
10
01
00
10
00
10
10
00
10
01
01
11
01
10
00
11
11
01
00
10
11
00
01
11
00
10
00
00
00
10
10
00
01
00
10
00
00
11
01
10
10
10
11
10
00
01
01
00
11
00
00
10
10
10
00
01
11
11
11
11
10
11
01
01
11
01
00
01
10
11
00
10
11
01
10
01
11
10
00
01
11
10
00
01
01
01
00
11
00
11
10
10
10
01
00
11
11
00
00
10
00
00
11
11
10
00
10
10
10
10
00
00
00
00
00
00
10
00
00
11
10
01
00
11
10
11
00
10
11
00
00
10
10
00
11
00
01
00
00
10
10
10
00
10
11
10
00
10
01
01
00
11
11
11
00
01
01
11
01
00
10
10
00
00
01
10
10
00
10
00
01
10
10
00
00
00
01
00
10
10
10
11
11
10
00
01
10
10
10
00
10
11
10
10
11
11
01
10
11
10
01
10
00
00
10
01
10
00
00
10
10
00
00
11
10
10
10
00
01
10
00
10
10
00
01
01
11
11
01
10
00
01
01
00
11
11
01
10
10
10
10
10
00
11
10
10
10
00
00
10
00
00
11
00
10
10
00
10
00
11
11
10
01
00
10
00
00
10
11
00
00
00
11
10
01
11
00
01
01
11
10
00
11
10
01
01
01
10
11
11
10
00
00
00
11
11
00
00
11
00
11
00
00
01
10
01
10
11
10
01
11
11
10
00
00
00
10
10
11
00
11
00
11
00
10
00
11
00
01
00
10
10
00
10
10
10
01
11
11
10
10
10
10
00
10
11
00
00
10
01
01
01
10
11
10
10
11
10
01
01
00
10
10
00
01
11
11
00
00
11
00
10
10
10
01
00
01
10
11
10
00
01
10
11
00
00
11
00
00
00
10
10
10
01
00
10
00
11
01
00
11
10
00
10
11
01
00
11
10
01
01
00
10
11
10
10
01
00
10
01
10
01
10
11
00
10
10
01
00
10
01
11
00
01
10
11
11
01
01
00
10
10
10
01
00
11
10
00
00
00
01
11
10
00
11
10
00
01
00
10
00
00
10
10
10
00
00
10
00
10
00
10
01
00
01
10
11
10
10
11
00
10
10
01
00
00
00
10
01
00
11
10
00
10
10
11
01
00
10
00
01
00
00
00
10
10
00
00
00
01
10
00
01
00
00
00
01
10
11
00
10
10
00
11
00
11
01
00
00
10
10
01
00
10
00
10
10
00
00
10
00
00
10
00
10
10
10
00
00
10
00
00
10
00
11
00
11
11
00
01
10
10
00
00
10
11
00
11
00
01
00
01
10
01
11
10
10
00
00
10
10
10
00
00
11
11
11
00
00
10
00
10
11
11
01
00
01
00
11
00
10
00
10
11
01
10
10
00
00
10
10
01
00
00
10
00
01
11
00
00
11
00
00
10
11
10
00
01
00
00
10
01
10
11
10
10
10
00
00
11
01
01
00
00
01
00
10
11
10
11
10
01
00
11
10
00
10
10
00
00
00
11
00
00
00
10
10
01
10
10
11
00
01
10
11
00
10
00
11
11
00
00
10
10
01
10
00
01
00
10
10
11
01
00
00
11
10
11
10
00
00
10
11
00
10
10
01
00
10
10
00
00
11
10
01
11
10
01
00
01
11
10
00
00
10
01
10
11
11
00
00
10
10
10
10
01
11
00
00
10
10
10
00
00
00
10
10
00
10
01
00
00
10
11
10
01
01
10
10
01
10
00
00
10
01
01
00
11
11
11
00
11
00
01
00
10
10
01
00
10
10
00
00
11
10
10
00
10
00
11
10
01
01
00
10
00
00
00
11
00
00
10
10
10
00
00
11
00
10
00
10
01
01
10
11
01
11
00
10
10
10
10
01
01
10
10
00
10
10
01
00
10
10
10
10
00
10
10
00
01
10
11
00
10
01
01
10
10
10
00
00
00
00
11
00
00
10
10
10
10
00
00
01
10
01
01
01
10
00
00
00
10
10
01
10
10
01
00
11
11
10
00
01
10
01
01
11
00
00
10
11
10
01
00
10
11
10
10
10
11
01
00
00
11
11
10
00
00
11
10
11
00
11
11
10
11
00
00
01
11
11
01
10
10
10
00
00
10
11
00
01
11
00
01
00
00
10
00
00
11
10
00
10
00
00
00
00
10
10
11
10
11
10
10
00
01
00
10
01
11
00
10
00
00
10
00
00
10
11
11
00
00
10
00
00
10
10
00
10
10
00
10
10
11
10
10
10
11
00
01
11
11
01
11
11
10
00
00
11
10
00
00
10
11
01
11
01
01
10
01
01
10
00
01
10
10
10
01
00
10
00
10
10
01
01
10
00
00
00
00
00
10
10
00
01
11
01
01
01
00
10
01
00
10
00
10
10
00
10
00
00
00
10
11
01
10
10
10
00
00
00
11
00
00
11
11
00
00
01
11
10
01
10
10
11
00
00
10
01
00
10
10
00
01
01
11
11
00
00
11
11
01
10
10
01
00
10
11
00
00
10
10
00
00
01
01
00
10
00
10
10
10
10
11
01
10
00
00
00
00
10
00
00
11
10
00
11
00
10
00
10
01
00
10
11
01
10
11
01
11
10
10
11
00
00
11
10
01
11
11
01
10
10
01
10
10
01
00
11
10
10
01
10
10
00
10
10
10
11
00
10
00
00
10
00
11
10
11
11
11
00
00
01
00
01
11
00
00
10
10
00
10
10
00
01
00
01
00
10
10
11
00
00
10
10
00
01
10
10
11
10
01
01
00
10
11
01
01
10
11
01
00
10
10
10
00
00
11
00
01
10
00
00
00
10
00
10
10
00
10
00
00
00
10
01
00
10
11
10
11
10
01
10
10
01
10
10
00
10
10
00
00
10
10
10
10
00
00
10
10
00
00
10
00
00
10
01
11
10
11
10
10
00
00
11
00
01
10
10
00
00
10
10
11
00
11
10
11
10
11
10
00
11
00
00
01
01
10
01
11
00
10
10
10
00
01
01
01
11
10
10
11
11
00
10
10
01
11
00
10
00
10
00
11
11
00
00
01
00
00
01
10
11
01
10
10
01
10
10
10
01
00
10
00
00
10
10
11
10
00
00
10
01
10
01
00
10
10
11
10
10
10
01
00
01
11
01
10
01
00
10
00
01
00
10
10
00
11
10
01
10
10
10
11
10
01
10
10
00
10
00
01
01
10
01
10
01
00
00
10
10
00
01
10
11
00
10
00
10
01
00
10
11
10
11
00
00
00
00
11
11
00
00
00
00
11
11
11
01
10
10
00
00
10
10
00
01
10
00
00
00
01
01
01
10
00
10
10
10
00
10
10
11
00
00
10
10
00
01
10
11
10
00
00
10
11
11
00
00
10
10
10
10
10
00
00
01
00
00
10
00
00
11
00
11
01
00
01
10
01
10
11
00
11
00
10
10
11
01
01
10
10
10
01
01
00
11
11
01
10
00
01
01
01
10
00
11
00
11
10
00
00
01
10
00
10
10
00
00
01
10
01
11
11
01
01
00
00
10
11
00
00
00
00
00
11
00
10
10
00
10
10
01
01
00
10
11
00
01
00
10
10
00
11
10
01
01
10
01
10
10
00
10
11
00
01
10
00
00
00
11
00
00
10
00
00
10
10
10
00
00
10
11
11
00
10
00
00
00
10
10
01
00
10
01
10
01
10
10
10
11
10
00
10
10
10
00
10
11
11
10
11
00
10
11
10
01
01
00
11
00
11
00
01
10
00
11
10
10
01
01
10
10
01
00
10
01
01
10
01
01
10
00
00
10
11
00
01
10
10
11
11
10
10
00
01
01
11
10
00
00
00
10
01
00
10
10
10
10
00
00
11
10
01
00
00
01
01
01
00
00
11
10
00
00
11
10
10
11
00
11
01
10
01
00
10
00
01
10
11
11
00
01
01
10
11
00
00
11
10
01
10
00
00
11
00
11
01
00
00
01
00
10
00
00
10
10
10
11
00
00
00
01
01
10
01
00
10
01
10
00
10
10
00
10
11
00
10
11
10
11
00
10
01
00
00
10
10
00
11
10
10
11
10
01
10
01
00
11
10
10
11
00
11
10
01
00
00
10
01
01
10
01
00
11
10
10
00
00
00
00
01
11
00
01
10
01
11
10
00
01
10
10
10
10
01
00
10
10
00
00
00
11
11
10
00
00
00
11
00
10
00
10
00
01
10
00
00
01
00
11
10
01
01
00
01
10
10
00
01
11
11
11
00
01
11
00
01
11
10
01
00
10
10
11
00
01
11
11
11
01
00
00
11
11
11
00
00
10
10
11
10
00
11
11
00
10
10
00
01
00
10
10
01
01
00
11
00
00
00
00
10
10
10
10
10
00
10
10
10
00
10
11
01
10
01
11
11
10
10
00
10
11
00
00
10
11
01
00
11
10
01
01
00
11
00
11
11
10
01
00
11
10
10
00
11
11
00
01
10
00
00
11
10
01
11
10
00
10
10
00
10
10
00
10
11
01
00
11
01
10
00
00
01
11
11
01
00
11
01
00
00
10
11
00
10
00
10
01
00
11
00
00
00
00
11
10
00
01
00
00
11
01
10
11
00
00
00
00
00
10
10
01
00
10
11
10
10
10
11
10
11
10
00
01
11
10
10
10
01
00
10
10
00
10
00
00
10
11
00
00
10
00
10
00
11
11
01
00
00
11
11
10
00
00
10
11
01
00
10
10
10
10
00
10
10
10
00
00
00
11
00
01
10
01
00
00
01
00
10
11
01
01
00
11
00
00
01
11
10
00
10
11
00
00
00
00
00
00
01
10
01
01
00
00
11
11
10
01
00
10
01
10
10
00
00
10
10
11
01
00
00
10
10
11
10
00
01
10
10
10
10
00
00
10
10
00
00
10
10
10
01
00
10
00
00
11
00
10
11
00
00
10
00
11
00
10
11
10
11
00
00
00
11
01
10
00
10
10
00
11
10
10
00
11
01
01
11
10
00
00
00
10
00
00
01
00
10
10
00
10
10
01
00
10
10
00
11
00
00
10
01
00
11
00
10
10
01
10
00
00
10
10
01
00
01
10
10
01
10
11
01
10
10
01
10
11
11
10
01
00
00
11
00
01
00
10
10
10
10
00
00
11
00
00
10
00
00
10
10
00
10
01
10
01
00
10
00
10
11
00
11
00
10
00
00
01
00
11
10
11
10
10
01
10
11
11
00
00
01
00
10
00
00
10
10
01
10
11
00
11
01
00
00
10
00
00
10
00
00
10
10
01
10
10
11
00
10
00
00
11
11
10
11
00
10
10
10
00
10
10
00
00
00
11
00
11
01
11
10
01
10
10
00
00
00
11
10
00
00
11
11
10
00
01
01
00
00
10
10
11
10
01
00
11
10
10
10
10
10
10
10
00
00
11
10
10
00
10
10
10
10
01
10
01
01
01
10
00
10
10
10
00
00
11
11
11
00
11
01
10
10
11
00
01
10
11
00
10
01
10
10
00
10
11
00
10
10
10
00
00
01
00
11
10
00
01
10
10
00
00
10
00
10
10
00
00
00
10
00
11
00
10
10
10
10
10
00
01
00
10
00
01
10
00
11
00
01
01
10
11
10
01
10
11
11
11
10
00
01
10
11
00
10
01
00
00
10
10
00
00
00
00
00
10
10
10
00
00
11
00
00
00
10
10
01
01
11
00
10
00
11
10
00
10
10
10
00
10
10
01
00
00
11
11
11
11
00
00
00
11
10
00
00
11
11
00
01
00
00
01
10
00
10
01
10
10
10
01
10
01
01
10
10
00
11
00
00
10
10
10
00
00
10
10
11
10
00
10
00
11
01
01
10
11
00
01
01
10
11
00
00
01
00
10
00
01
10
01
00
10
11
10
11
01
10
01
00
10
00
11
10
10
10
10
00
10
10
00
00
10
01
00
11
00
11
11
00
01
11
10
00
00
00
10
00
00
00
00
10
01
10
00
00
01
10
11
10
01
01
00
00
01
11
11
00
00
10
10
00
10
00
00
11
10
10
11
01
00
10
00
10
00
10
10
00
00
00
00
11
00
00
01
01
10
01
00
11
00
10
10
00
10
00
11
11
10
01
10
00
11
01
01
11
10
00
10
10
10
01
00
10
01
10
11
00
11
10
00
01
11
00
01
00
11
11
00
01
01
11
10
10
10
00
11
11
00
11
10
10
11
10
11
00
00
00
11
01
00
10
10
00
01
01
01
01
11
01
10
11
10
00
10
11
01
00
00
10
11
00
00
10
10
10
10
10
10
00
01
00
00
10
10
10
00
00
10
10
10
10
01
11
00
11
00
10
01
00
11
00
10
10
00
01
00
10
11
11
00
10
10
01
01
11
00
00
10
00
01
11
00
00
11
10
10
10
00
00
10
00
01
01
01
11
00
00
11
11
10
10
00
00
00
00
11
10
11
10
10
10
01
00
00
11
10
01
11
10
01
11
01
01
00
10
10
00
10
00
00
10
00
00
10
10
00
11
01
11
11
10
01
10
00
00
10
01
00
10
00
10
00
10
00
01
10
00
10
10
10
11
10
10
10
01
10
00
00
10
00
01
10
11
00
10
00
00
00
11
10
01
10
10
00
10
01
10
10
00
10
00
10
01
00
11
00
01
00
10
10
10
11
11
00
01
10
00
11
11
00
00
10
11
01
01
10
10
00
10
00
11
10
00
11
00
11
11
10
10
00
01
00
11
10
01
01
10
11
00
10
10
01
10
00
00
11
00
10
00
00
10
00
00
00
10
10
11
01
00
01
10
10
10
00
10
10
00
01
01
11
00
11
10
11
01
10
00
00
00
10
10
00
10
10
00
01
00
11
10
11
10
00
11
11
00
01
00
00
00
10
10
01
10
10
01
10
01
10
00
00
11
10
01
10
00
11
01
10
00
01
10
11
10
10
00
10
10
10
10
01
10
01
10
11
00
10
10
00
00
10
00
10
11
11
00
11
10
00
01
01
00
00
01
11
10
11
11
10
00
00
01
00
00
10
00
10
10
10
10
01
00
01
10
10
11
00
10
11
10
01
00
10
11
00
11
10
10
01
00
10
11
10
00
00
10
10
00
01
11
10
11
10
00
11
00
00
11
11
10
01
00
10
01
00
11
00
11
10
00
10
00
10
11
01
00
11
10
00
10
01
10
10
10
01
10
11
01
01
01
10
10
10
00
00
10
10
10
00
01
10
00
10
00
10
00
10
10
00
00
11
00
00
10
00
11
01
10
11
11
00
11
10
10
00
00
01
00
10
00
10
10
00
10
10
00
10
00
10
01
00
01
00
00
10
10
00
10
00
10
11
10
00
01
10
11
10
11
00
00
10
01
01
10
10
11
00
11
10
10
00
10
10
00
00
10
01
00
01
00
11
00
00
11
10
01
11
10
10
10
01
10
01
00
11
11
11
00
10
01
01
10
10
11
00
10
10
00
01
10
11
01
11
00
00
01
01
11
10
11
01
00
00
11
10
00
00
10
10
10
01
00
00
00
11
00
11
10
11
11
10
00
00
01
01
00
10
00
10
10
00
10
00
00
11
10
10
10
10
11
10
00
00
00
10
11
01
01
10
00
10
01
11
00
00
10
10
00
10
10
10
00
00
00
01
00
10
11
11
11
00
00
11
10
00
10
00
00
11
11
11
10
01
00
00
10
11
00
00
00
11
11
01
11
10
00
00
10
00
11
00
00
11
01
01
00
10
00
10
11
10
10
01
00
00
01
00
10
00
00
10
11
01
10
00
00
00
00
00
11
10
10
10
10
10
11
10
00
01
11
00
00
00
00
10
11
00
10
10
00
01
10
10
10
10
01
10
00
10
11
10
00
01
00
00
10
10
10
00
10
10
10
00
01
11
10
00
10
00
10
11
01
01
10
01
01
10
10
00
11
10
01
00
10
11
11
11
00
00
11
01
01
10
10
00
00
00
00
11
01
10
10
10
10
10
10
11
01
00
10
10
10
10
10
01
00
10
00
11
11
10
10
00
10
10
10
10
11
10
11
10
10
00
01
00
11
10
00
01
10
01
01
10
10
01
11
10
01
10
00
10
00
00
10
00
01
10
01
10
11
00
10
10
10
11
00
00
10
00
10
10
10
01
10
00
01
11
10
00
00
00
10
10
00
00
10
00
11
01
10
10
01
10
10
10
00
00
11
00
10
01
10
01
00
11
10
00
00
01
10
11
00
11
01
11
00
00
10
10
00
00
11
10
00
01
10
11
00
11
00
00
10
00
10
11
00
10
11
00
11
00
11
00
10
11
11
11
00
10
01
10
00
01
10
11
00
10
00
00
01
11
00
00
11
00
00
11
10
10
01
01
00
11
10
10
00
00
10
11
10
01
01
10
10
00
00
01
00
10
00
01
10
11
00
10
00
00
00
11
00
10
10
00
11
10
00
00
10
10
00
00
10
10
01
10
10
00
00
10
10
00
00
00
10
10
00
11
11
10
00
11
11
11
11
00
10
00
00
10
01
01
10
10
10
10
10
00
00
01
10
10
10
11
00
10
10
11
01
10
11
10
01
10
10
00
10
11
00
11
11
01
10
10
11
01
10
10
11
01
00
00
11
10
10
11
10
01
10
00
00
10
10
01
10
00
00
10
10
01
00
00
10
00
01
10
10
10
10
00
00
11
00
00
10
10
01
00
01
10
10
00
10
00
00
11
01
01
10
10
01
01
10
00
11
00
11
11
10
11
01
10
00
10
01
00
00
00
00
01
10
11
11
00
00
00
11
10
10
01
10
11
10
00
00
00
01
11
00
11
00
00
11
10
10
11
00
00
11
11
00
00
00
10
01
10
01
01
01
10
00
00
10
10
01
10
10
10
10
10
00
00
00
10
11
10
01
01
10
00
00
10
01
11
01
01
10
00
00
10
10
11
10
00
01
00
11
00
11
11
11
10
11
10
00
10
11
00
00
01
11
11
10
00
01
00
10
00
00
01
10
10
10
00
00
10
10
10
01
10
00
01
00
01
10
11
01
10
01
11
00
10
10
00
11
00
10
11
00
01
10
10
00
01
00
10
10
01
00
01
10
10
11
10
10
10
00
01
10
00
01
01
01
00
10
11
10
00
00
00
00
10
10
11
00
01
00
01
10
00
10
10
10
01
01
10
11
10
11
01
01
10
11
11
00
01
11
10
00
10
00
01
00
11
10
00
00
10
00
10
10
00
10
11
10
00
00
00
10
00
01
10
11
00
00
00
00
10
11
10
10
10
10
00
01
00
00
00
11
00
00
00
01
10
01
10
10
00
11
00
11
01
00
00
10
00
10
10
00
00
00
00
00
01
00
10
00
10
00
11
10
00
01
10
11
11
10
00
01
10
00
01
11
10
01
11
10
10
10
10
10
00
01
11
00
01
01
00
10
10
11
01
00
11
10
11
10
10
00
00
00
10
00
10
10
00
00
11
11
11
00
00
11
00
00
10
00
00
10
01
00
10
00
01
10
10
11
00
01
10
11
10
10
11
11
11
00
10
10
10
11
10
10
01
00
00
01
01
10
10
11
10
10
00
10
10
11
11
00
00
11
10
00
00
01
10
10
00
11
11
11
10
01
00
11
11
01
01
11
01
10
00
11
10
11
01
00
00
00
10
10
10
00
10
00
01
11
00
10
10
10
00
10
00
01
11
00
10
00
11
10
00
00
11
10
00
11
01
00
10
11
00
00
10
10
10
10
00
10
10
10
11
00
00
00
01
01
01
10
01
00
10
00
01
01
10
11
10
11
00
01
11
00
01
11
10
11
10
01
00
10
11
00
00
10
11
00
10
11
00
10
10
00
11
11
00
00
11
10
00
00
10
10
00
00
10
11
00
11
00
00
11
11
00
00
10
10
01
01
11
10
11
00
01
00
01
00
10
10
01
11
10
01
00
11
01
10
00
00
11
11
10
01
10
10
00
00
10
11
01
00
10
00
00
10
10
10
00
10
10
00
10
01
00
01
00
10
10
01
10
11
10
00
01
10
01
10
10
00
10
01
00
10
10
01
01
01
01
10
10
10
00
11
10
01
01
11
10
00
00
00
00
00
00
11
10
10
10
10
10
10
01
01
00
11
00
10
10
10
00
01
11
11
00
10
11
10
01
01
10
10
01
10
10
01
00
00
10
10
11
00
01
01
00
10
01
00
10
10
00
00
01
00
11
00
01
00
00
11
00
00
10
10
01
11
10
00
10
00
00
00
11
10
00
11
10
10
10
10
01
00
01
00
01
10
10
10
00
11
10
01
10
11
01
10
01
10
01
10
11
00
11
00
00
00
10
10
00
10
10
10
10
11
00
10
10
00
11
01
10
11
00
00
01
10
10
01
01
10
11
00
00
11
10
00
10
01
00
10
01
10
10
10
01
11
10
00
01
00
01
10
10
00
00
10
10
00
01
11
00
01
10
11
10
01
01
10
10
00
11
10
10
00
01
10
01
10
11
00
11
01
10
01
00
01
01
00
10
10
01
00
11
11
10
10
00
10
11
00
01
10
10
10
10
01
00
01
11
10
10
01
00
00
00
11
01
11
01
00
01
10
10
00
10
10
00
01
10
10
00
00
00
10
10
10
00
11
11
00
10
00
01
11
00
01
11
00
00
10
01
01
11
11
10
11
00
00
01
10
10
10
00
00
11
01
11
10
10
10
10
10
00
11
11
10
11
00
10
00
00
01
11
10
00
00
10
00
00
10
00
11
10
00
10
11
10
10
10
10
00
00
10
01
00
00
11
10
10
10
11
10
00
10
00
01
11
10
11
10
10
10
01
00
00
01
00
01
00
10
00
00
00
00
11
10
11
10
11
00
01
10
10
11
01
10
01
00
10
11
10
00
00
00
01
10
11
00
11
10
10
00
00
00
01
00
10
10
10
00
10
00
01
10
01
00
10
00
00
10
10
10
00
11
00
10
10
00
10
00
10
01
10
01
11
00
10
10
10
00
10
11
00
00
01
10
00
10
00
10
10
10
00
11
10
10
00
11
00
10
10
00
00
10
11
01
10
10
10
00
00
10
11
00
11
01
00
11
00
10
11
00
01
11
01
10
10
11
10
10
01
00
10
00
01
10
11
01
01
01
10
10
10
00
00
10
10
10
00
10
10
00
11
00
10
00
00
10
10
10
11
10
01
00
00
11
01
11
00
00
10
00
10
10
01
11
10
00
10
10
10
00
00
11
01
10
10
11
00
10
00
01
10
01
00
10
10
10
01
00
11
11
10
10
01
10
00
10
11
00
00
10
01
00
11
10
10
01
00
11
10
00
00
01
00
11
01
00
10
11
00
00
10
10
00
00
01
11
00
01
00
00
00
11
00
00
01
00
00
00
10
10
01
10
00
11
10
10
10
11
00
10
00
10
10
00
10
00
00
10
00
11
00
01
11
11
11
01
10
10
00
00
10
01
01
10
00
01
11
11
01
01
10
01
00
10
10
00
01
00
01
01
10
10
00
10
10
01
00
00
00
01
10
10
00
10
10
00
11
00
01
00
10
00
11
10
00
00
11
11
00
01
00
01
10
01
11
00
00
10
01
00
11
10
00
00
10
00
00
11
10
01
00
10
00
10
00
11
00
01
11
00
11
10
00
10
00
01
10
10
00
11
11
00
10
10
00
10
10
11
00
10
00
10
00
11
01
00
10
01
00
00
10
01
00
00
10
10
11
10
01
11
00
01
00
11
10
10
00
00
11
10
00
00
11
01
10
10
00
11
10
00
10
11
01
10
11
00
00
11
11
00
01
00
10
00
00
11
10
00
00
00
11
00
01
01
11
00
00
10
11
10
00
00
00
10
01
10
10
10
01
00
01
11
01
11
10
00
10
10
00
10
00
11
00
11
00
10
10
10
00
01
11
11
10
00
01
11
10
00
10
01
00
11
11
10
00
10
10
00
01
10
10
11
00
00
00
11
10
11
00
00
00
00
01
01
01
11
10
10
00
00
10
00
00
10
10
00
10
00
01
00
10
01
11
01
00
10
10
10
01
10
00
00
10
11
10
00
11
10
11
00
10
00
00
10
11
11
01
00
01
11
11
10
00
00
10
01
00
01
11
00
00
11
10
00
10
10
00
00
00
00
10
00
10
10
10
00
01
00
10
00
11
11
11
10
00
00
01
10
10
00
00
10
01
11
10
10
10
01
10
10
01
10
10
10
11
00
00
00
01
00
11
10
10
11
10
01
00
01
10
10
00
00
00
10
10
00
00
11
00
10
11
00
10
11
00
00
00
11
10
11
00
00
01
11
10
01
10
10
11
10
10
00
00
10
00
10
00
00
00
10
11
01
11
11
11
10
01
01
10
10
01
00
11
11
01
11
11
10
10
11
00
01
10
11
00
00
10
00
10
00
01
11
01
11
11
00
11
00
00
01
10
11
00
10
00
11
11
00
10
10
00
00
10
10
00
01
00
11
10
10
10
11
10
11
01
00
10
10
11
01
00
10
10
01
01
01
01
11
10
01
00
01
01
11
10
00
00
11
10
01
00
10
00
01
10
00
11
10
00
10
01
01
11
10
10
00
10
11
00
10
00
00
10
01
00
11
10
00
11
00
00
10
01
01
01
00
01
10
00
01
10
11
10
00
01
10
10
00
00
00
11
10
01
00
10
01
00
01
10
00
10
10
00
01
10
10
00
10
01
11
00
10
00
10
11
10
10
00
01
00
01
10
00
00
11
01
11
01
00
00
10
11
00
00
10
10
01
10
00
01
00
10
11
10
00
00
10
10
00
00
11
00
10
00
11
00
11
00
01
11
10
01
01
10
10
00
01
10
10
00
10
00
10
11
10
11
01
10
00
00
00
10
01
10
10
11
10
10
10
11
00
01
00
00
10
11
01
10
01
11
10
01
01
11
10
10
00
00
00
10
11
00
11
10
00
10
00
00
00
11
00
01
01
11
10
00
00
10
10
00
00
10
00
00
00
00
00
00
00
01
00
01
00
00
10
01
11
01
11
10
10
10
00
01
00
10
10
11
11
10
11
01
01
11
11
01
11
01
01
10
10
10
01
00
10
00
00
10
10
01
00
00
00
10
11
00
10
00
00
00
10
11
01
10
11
10
10
11
01
00
10
00
00
00
10
10
10
00
01
00
01
01
00
01
10
00
10
11
00
00
00
10
10
00
01
10
10
10
00
10
10
00
00
00
00
00
11
10
10
00
10
10
00
00
01
11
10
10
10
10
11
01
01
10
11
00
11
10
01
00
00
11
11
11
00
10
00
10
00
11
10
00
11
00
00
00
00
10
01
01
11
10
00
10
01
10
10
00
00
00
00
00
11
11
10
10
10
01
11
00
01
00
01
00
10
10
11
11
10
00
00
10
01
10
00
10
10
10
10
00
00
11
00
00
00
01
01
01
11
00
00
11
01
00
01
10
10
10
00
11
10
11
00
10
01
10
00
01
11
10
10
11
00
10
00
00
00
11
10
10
10
01
10
00
10
01
00
00
00
11
01
00
10
11
10
10
10
00
01
10
00
00
01
11
00
10
10
11
10
10
00
00
10
01
10
00
01
00
10
00
00
10
10
00
00
00
10
10
01
01
10
00
11
11
00
00
11
11
00
10
00
10
01
10
10
01
10
00
01
00
00
00
10
11
11
00
10
00
11
10
00
10
11
10
01
00
01
01
10
10
10
00
00
11
11
11
00
00
00
11
10
10
01
01
11
10
10
00
10
00
10
10
01
10
01
10
00
10
10
10
10
00
01
10
11
11
01
01
00
00
10
00
00
01
10
10
00
11
00
01
10
00
00
00
10
10
10
11
11
01
00
00
11
10
11
00
00
11
10
01
10
01
01
11
01
00
11
10
00
01
00
01
10
00
10
11
01
10
00
01
10
01
10
01
01
00
11
00
00
11
01
10
11
11
10
10
10
00
10
11
00
01
01
10
01
00
10
10
11
00
00
10
00
00
10
01
01
10
10
00
10
11
00
00
11
10
00
01
11
01
01
00
00
10
10
00
10
10
00
11
10
10
10
01
00
10
01
11
10
10
00
00
01
11
00
00
00
10
11
10
00
00
11
11
11
00
00
00
11
11
00
10
00
10
00
00
11
00
11
11
10
10
01
10
10
11
00
00
11
10
11
10
01
11
00
00
01
11
00
00
10
10
10
10
00
00
10
00
11
00
00
10
00
10
11
11
00
10
10
10
00
01
01
00
01
10
11
00
01
11
10
10
00
10
11
11
01
01
11
01
01
00
10
00
00
00
10
10
01
00
11
00
00
10
00
00
10
10
00
00
01
00
10
10
00
01
10
00
10
01
01
00
10
11
10
00
00
00
11
00
00
00
00
11
11
00
00
10
10
11
01
01
10
00
01
11
11
00
10
11
10
10
01
11
10
00
00
10
11
11
00
01
10
01
11
10
00
00
00
11
10
00
10
11
11
00
00
01
00
10
11
00
00
00
00
10
10
01
10
10
01
11
00
01
10
00
01
10
11
00
10
10
10
01
11
10
01
00
11
10
11
00
00
10
10
10
01
00
10
00
11
11
10
11
00
11
10
01
00
00
11
11
00
01
10
10
10
10
10
10
10
01
00
10
10
11
10
10
01
01
10
00
10
10
01
01
11
00
00
10
01
11
10
11
01
00
10
00
10
00
00
10
11
10
00
00
10
00
11
10
00
11
00
00
00
10
10
00
00
11
11
11
11
00
00
10
00
10
01
01
00
11
10
10
00
11
10
01
00
01
10
01
00
00
11
10
11
00
00
11
10
10
00
00
00
00
10
01
01
00
01
10
00
10
10
01
00
11
11
00
00
01
00
01
10
10
00
00
00
00
01
10
00
01
10
10
00
00
10
10
00
01
11
01
10
10
11
00
10
00
00
11
00
01
00
10
10
00
01
10
01
00
11
11
11
00
00
00
10
10
00
10
10
00
10
11
11
00
01
01
00
11
10
00
00
10
00
00
00
10
11
00
00
10
11
10
01
10
11
10
10
00
00
10
10
00
00
10
10
11
10
00
10
01
11
00
10
00
00
01
10
11
10
00
10
00
00
10
10
01
11
10
10
10
01
00
10
01
10
10
00
01
00
10
00
11
01
00
11
00
11
10
00
00
01
11
11
00
00
00
00
11
00
00
01
10
10
10
00
00
00
00
11
10
00
11
01
00
10
11
00
10
10
11
01
00
11
01
10
10
00
10
11
10
00
00
10
11
11
10
01
00
10
10
10
10
10
10
01
00
00
00
01
00
10
01
10
10
01
10
01
01
11
00
11
10
11
10
00
11
10
01
10
10
00
01
10
10
01
00
10
10
00
00
00
10
11
11
00
00
11
01
00
10
01
01
10
01
10
10
01
10
10
10
10
00
00
10
10
00
00
00
00
10
11
01
10
00
11
10
00
00
00
10
11
11
00
10
10
01
01
10
10
10
10
00
00
00
01
10
00
00
10
11
11
00
01
00
10
01
00
11
11
01
01
10
11
10
01
01
01
01
10
11
10
10
00
00
10
10
10
10
01
10
10
10
00
01
10
01
00
10
01
00
00
10
00
00
01
01
00
10
00
00
10
01
10
11
00
00
11
10
00
11
01
00
00
10
00
00
00
10
10
01
00
00
00
10
00
11
00
10
10
00
10
10
01
00
11
10
11
10
01
10
01
10
00
10
10
10
01
10
10
10
10
10
00
00
00
10
10
00
01
11
10
00
10
01
01
00
11
00
11
00
00
10
00
01
10
00
00
01
10
11
00
00
10
11
00
00
01
10
01
11
01
00
11
11
00
10
00
00
10
00
01
10
00
00
01
01
11
10
10
00
10
10
10
00
00
01
00
01
00
00
01
10
11
10
00
00
00
11
10
00
00
10
11
00
00
00
00
11
10
01
11
00
10
00
01
11
10
00
01
11
10
01
10
10
00
01
11
01
10
10
00
00
00
10
11
01
00
11
00
00
01
11
01
00
01
10
11
10
01
10
00
00
10
10
01
11
10
11
10
11
10
00
01
10
11
00
00
00
01
10
10
10
10
10
10
10
00
01
01
11
01
10
10
00
10
01
00
11
11
11
00
00
10
10
00
00
10
11
00
10
10
10
10
11
00
10
10
11
00
10
00
01
00
00
00
11
10
01
10
00
00
11
10
00
00
11
01
01
10
10
10
00
11
10
00
00
00
11
11
00
00
10
10
01
10
11
10
00
10
10
00
00
00
00
10
10
00
10
10
10
11
10
11
01
00
00
00
10
01
00
10
10
10
00
10
00
00
10
10
00
10
01
00
10
10
00
10
00
00
00
01
11
10
10
11
01
00
10
01
10
11
10
00
00
00
10
10
01
01
10
11
00
10
11
10
10
00
00
00
00
00
11
11
10
11
00
00
00
10
00
10
11
01
00
10
11
10
01
01
01
10
10
10
11
00
00
10
10
00
10
10
01
00
10
00
00
00
01
10
10
11
10
01
10
11
01
00
00
10
10
11
01
01
10
10
00
01
00
00
11
10
11
01
00
10
10
10
01
01
10
00
10
01
10
10
11
11
00
01
00
10
00
00
11
11
10
01
11
10
11
10
01
10
11
00
10
00
01
00
00
01
10
01
10
10
10
10
00
11
10
00
10
11
00
00
10
11
00
10
01
00
10
10
01
01
10
10
00
11
11
10
01
01
11
10
10
11
00
10
10
00
01
10
11
10
11
10
10
00
00
10
11
11
00
00
00
00
10
00
11
11
00
00
00
10
01
00
11
01
10
10
01
00
10
10
01
01
10
00
10
11
10
10
01
01
00
01
01
00
10
00
01
01
10
10
10
01
11
11
11
01
01
10
00
00
01
00
10
10
00
01
11
00
11
11
01
00
10
01
11
10
00
01
10
10
01
11
00
10
00
10
00
10
10
00
11
10
00
10
00
10
00
11
11
00
11
00
00
10
00
01
01
00
10
00
00
10
00
01
10
11
01
00
01
10
11
10
00
01
00
00
00
10
11
11
01
10
10
01
10
00
01
10
11
10
00
01
10
10
11
00
00
10
01
11
10
00
00
10
00
00
10
11
00
00
11
00
01
00
11
00
10
10
00
10
10
00
10
10
00
10
01
10
10
10
11
10
10
00
11
11
00
11
00
00
10
10
00
00
10
10
10
00
00
00
10
10
00
00
11
00
10
00
10
00
01
10
11
01
00
00
11
10
10
10
01
00
11
00
00
10
10
10
00
01
11
10
10
00
00
10
11
01
00
00
11
11
01
10
01
11
10
01
00
10
11
10
01
10
10
10
10
00
00
00
00
10
10
01
00
10
00
00
00
00
11
01
11
10
00
00
01
01
00
00
10
11
01
10
00
00
00
00
00
11
00
00
10
10
10
00
00
10
00
11
00
10
11
10
01
01
11
01
00
10
10
11
00
00
00
10
10
01
01
11
10
00
00
11
11
00
01
11
10
00
11
10
01
10
11
00
11
11
10
10
11
10
00
01
11
10
11
10
00
00
11
00
01
01
10
00
01
00
10
01
00
00
01
00
00
00
10
11
00
00
00
10
10
10
10
10
11
00
00
00
11
00
00
10
11
00
00
00
10
11
00
00
00
10
10
00
00
00
00
10
00
00
00
10
11
10
10
00
10
10
01
00
00
10
11
10
11
10
00
00
00
10
10
11
01
10
11
00
11
10
11
00
01
01
00
11
11
11
00
00
11
01
01
01
10
11
00
10
01
10
11
00
00
01
10
10
00
10
11
11
11
01
11
10
10
00
01
01
10
10
10
00
10
10
01
00
00
00
11
01
10
11
11
00
11
10
00
00
10
00
01
00
10
10
00
10
10
11
11
11
01
00
11
01
01
10
10
00
00
11
01
10
11
10
10
00
01
00
10
00
00
00
00
00
10
00
11
00
00
00
10
10
01
00
11
00
00
10
11
10
00
00
10
11
10
10
00
11
10
11
01
00
10
10
00
11
00
01
11
00
01
01
00
00
00
11
10
10
10
00
11
10
00
00
01
00
01
11
00
00
11
00
11
11
00
01
10
10
00
00
10
01
10
10
10
00
01
00
00
11
10
01
00
11
11
00
10
11
10
01
10
00
01
11
01
00
00
10
00
10
00
10
10
10
00
00
11
01
10
00
10
01
10
10
01
00
10
10
11
10
11
00
10
01
00
11
10
01
01
00
11
11
00
01
01
00
10
01
10
10
00
00
01
00
10
01
10
10
00
00
10
00
01
10
10
00
10
00
00
00
10
01
01
00
01
10
00
00
00
01
10
11
10
00
01
00
00
10
10
00
10
00
00
10
10
10
01
00
10
01
00
11
00
10
10
01
00
10
10
11
00
00
11
00
00
11
10
01
00
11
11
01
11
11
00
01
00
10
01
00
00
10
10
00
11
10
00
11
10
10
00
10
01
00
10
00
01
00
10
10
00
10
11
10
10
01
01
11
00
11
01
10
10
00
00
11
00
01
10
10
00
10
10
11
01
00
00
01
10
00
10
10
01
00
10
10
00
11
10
00
10
00
00
01
10
10
00
00
01
00
11
11
10
01
10
10
01
10
11
01
10
11
00
00
10
00
11
11
01
10
01
10
11
00
01
01
10
10
00
00
10
00
10
00
10
10
00
10
10
00
11
10
00
00
10
11
00
01
00
10
11
01
10
10
10
01
10
10
00
00
00
10
11
00
10
10
00
00
00
10
10
11
00
00
01
00
11
00
11
10
01
01
11
10
00
10
10
10
00
00
10
10
01
11
01
10
00
11
01
00
10
00
10
00
01
00
10
10
00
00
00
11
10
10
01
00
11
00
00
10
00
01
00
11
11
00
00
01
01
00
00
11
01
00
00
00
00
11
10
10
11
10
11
00
01
00
10
10
00
01
10
01
01
10
01
10
10
01
01
10
00
00
00
00
01
00
10
10
00
01
10
00
01
11
00
10
11
10
10
00
10
10
00
01
00
00
10
10
10
00
00
10
00
00
01
00
10
00
10
00
10
10
10
10
11
00
11
10
00
10
10
10
10
00
01
00
01
00
10
10
00
00
11
10
00
01
10
01
00
00
10
01
10
10
00
01
11
11
00
00
10
10
10
10
10
00
00
00
01
10
11
10
00
00
00
00
10
11
10
00
10
10
00
00
00
10
10
00
00
01
10
10
00
00
01
00
00
10
00
00
10
01
00
00
11
10
11
11
10
00
10
11
10
00
01
00
11
10
00
10
11
00
11
10
01
10
11
10
10
00
00
10
10
11
00
10
00
10
00
10
00
11
10
00
10
10
11
01
00
01
10
11
00
00
11
00
00
10
10
01
00
01
10
11
10
01
01
11
00
00
00
00
10
10
00
00
10
10
11
01
10
10
01
10
11
01
10
00
00
00
00
00
10
01
11
10
10
00
00
00
00
10
10
10
00
10
00
00
00
10
10
10
10
11
10
10
01
10
00
00
00
10
01
11
00
01
10
00
01
10
10
00
01
10
00
01
10
10
00
10
00
10
10
00
00
10
11
10
10
00
00
10
10
01
00
01
10
00
00
00
10
11
00
00
10
00
11
10
00
10
00
00
10
10
01
10
01
10
00
10
00
10
00
00
00
00
10
10
10
10
01
10
10
10
11
11
00
01
10
10
10
11
00
01
10
00
00
10
11
01
10
11
00
01
10
11
10
00
10
10
11
00
11
10
00
11
00
10
11
01
01
00
10
00
10
10
00
00
10
10
01
00
01
00
11
00
01
10
01
00
10
01
00
10
00
11
11
00
00
11
00
11
11
10
00
00
00
10
10
01
11
10
00
01
10
01
10
01
00
10
10
10
00
01
11
10
00
11
00
10
00
00
10
11
00
00
11
10
01
00
10
11
00
10
00
01
11
00
00
10
10
01
11
00
00
11
00
00
00
01
00
10
10
10
00
10
01
00
10
00
10
00
10
00
10
10
00
00
10
11
01
00
10
01
00
01
11
01
10
10
00
10
10
01
00
11
11
10
10
01
10
00
01
01
00
11
00
01
00
11
10
11
00
01
11
11
01
10
10
01
10
00
00
10
11
00
10
00
10
00
10
10
00
01
00
10
10
01
00
11
00
11
00
00
00
01
00
10
10
00
10
10
01
11
10
11
10
10
11
10
11
00
00
10
11
00
00
10
10
10
00
00
01
00
10
10
10
00
11
10
11
10
00
01
00
00
00
01
00
00
00
00
00
01
00
10
11
10
11
01
01
00
00
00
10
00
00
10
00
00
10
10
00
00
10
10
00
10
00
00
01
01
11
01
11
10
00
00
10
10
01
01
10
00
10
00
11
01
00
01
10
11
01
10
10
10
01
01
10
11
00
00
01
11
01
00
10
10
10
10
00
00
11
11
00
01
10
10
01
01
10
00
00
10
00
01
11
10
01
00
00
11
10
01
10
00
01
10
01
00
00
10
10
00
10
10
10
11
10
10
11
01
01
00
10
01
11
10
10
00
01
01
01
10
10
11
01
11
00
00
10
01
00
10
10
10
10
00
10
10
00
01
00
10
01
10
01
00
10
00
11
10
00
00
00
11
00
10
10
11
01
11
00
01
10
01
00
10
00
00
01
10
11
00
10
10
00
10
00
10
10
10
10
11
00
11
01
00
10
00
11
10
10
01
01
11
11
01
10
00
11
10
11
00
10
10
01
11
00
01
10
10
01
00
00
01
11
10
10
11
11
11
01
00
01
00
10
01
00
10
10
10
00
10
10
00
00
11
10
00
00
10
10
11
01
01
00
10
10
10
00
10
11
01
10
10
00
10
00
01
01
10
01
10
00
00
10
00
01
10
10
11
10
10
11
01
01
00
11
11
10
10
11
00
10
00
00
10
10
11
00
10
00
01
01
10
10
00
00
10
00
10
10
00
00
10
00
00
10
11
01
10
00
10
01
10
10
01
00
00
01
10
11
00
00
01
00
01
01
11
10
10
11
01
10
10
00
11
00
01
00
00
10
01
01
10
10
00
10
10
10
11
10
01
00
00
10
00
00
11
10
00
00
10
11
10
11
00
01
10
11
10
01
00
10
10
00
10
11
11
00
10
01
10
00
10
11
00
10
01
00
00
00
01
11
10
00
10
00
01
10
11
00
01
11
10
10
10
11
01
00
00
01
10
10
00
10
00
00
10
10
11
00
01
01
10
00
10
10
00
01
10
00
10
10
00
00
00
11
00
01
01
10
01
10
00
00
01
11
10
10
10
00
00
10
00
01
00
11
00
00
10
00
11
10
10
00
10
10
01
11
01
10
00
01
10
10
10
01
01
11
00
00
10
10
10
11
11
00
01
10
01
10
00
01
01
11
11
01
00
01
00
00
10
00
01
11
10
10
10
00
00
01
10
00
00
00
00
10
10
10
00
11
11
00
00
01
00
00
10
10
11
10
00
00
10
01
10
01
10
00
00
00
10
10
00
00
01
10
10
01
11
10
10
10
10
11
00
00
01
10
01
11
00
00
10
01
00
00
10
10
00
00
10
00
00
10
00
01
10
11
11
01
01
01
01
01
00
01
11
10
01
11
01
11
11
00
10
10
10
10
11
00
10
00
01
00
11
10
01
00
10
11
00
00
11
00
00
10
00
00
00
00
10
01
00
01
10
01
00
10
00
10
10
00
00
10
11
11
00
11
10
00
11
10
00
11
10
00
00
11
01
00
11
01
10
00
11
10
10
01
00
11
10
00
00
10
01
00
11
10
00
01
10
10
01
11
11
00
10
10
10
00
01
11
11
00
10
10
11
10
00
00
11
00
00
11
01
00
11
00
00
10
10
11
10
10
01
10
10
00
00
00
11
11
10
11
00
00
10
10
00
10
10
00
00
11
00
00
00
10
11
00
11
00
10
10
10
10
10
00
00
11
00
10
11
00
11
00
11
00
10
11
00
10
10
11
00
00
10
10
01
10
10
01
00
11
10
10
11
00
01
00
00
10
00
01
00
10
10
11
00
10
01
00
11
01
00
01
00
10
10
10
00
10
10
10
10
10
10
00
00
01
00
10
11
00
00
00
10
10
11
00
00
00
01
10
00
01
11
10
00
11
10
10
00
11
01
01
11
01
00
01
00
10
10
01
00
00
10
11
00
10
00
10
00
11
11
11
00
01
10
10
00
01
10
11
10
00
00
10
10
01
00
10
00
10
01
10
00
00
10
00
00
00
11
01
01
00
00
11
10
00
00
01
10
11
00
10
10
00
10
10
10
00
01
01
00
10
00
10
01
00
00
10
11
00
10
11
00
01
10
01
00
10
10
01
10
01
10
10
00
10
10
10
00
11
10
01
00
10
10
11
01
00
01
10
11
10
10
10
00
11
11
10
00
10
00
11
00
01
10
01
00
10
10
10
00
01
11
10
00
01
01
01
00
00
11
10
10
00
01
10
11
10
10
00
00
10
00
11
11
10
11
00
11
10
00
01
00
11
10
10
01
01
01
00
10
11
00
11
10
10
00
01
00
10
11
01
10
10
00
11
10
00
00
00
11
10
10
00
10
00
10
10
00
11
00
10
10
00
01
10
01
00
01
00
10
00
10
10
01
01
01
11
10
00
01
10
11
00
01
10
10
11
01
01
11
11
10
01
00
00
10
11
01
00
01
01
11
00
10
10
10
11
11
00
01
00
11
01
00
10
00
10
00
00
01
11
00
00
10
10
10
00
00
00
01
10
11
11
10
10
10
00
01
01
10
10
00
00
00
10
10
01
11
10
10
10
01
00
10
10
11
01
11
10
11
10
01
10
11
00
11
10
00
01
10
10
00
01
11
10
10
10
00
01
01
00
11
10
00
10
01
00
01
00
00
11
00
00
01
10
11
00
01
01
00
11
10
11
00
00
10
10
00
00
01
11
01
10
10
00
11
10
11
00
10
00
01
11
00
10
10
00
01
11
01
00
10
00
00
10
10
00
11
10
00
00
01
11
00
10
10
10
11
00
00
00
01
00
10
10
00
00
10
00
11
00
10
10
01
10
10
10
00
00
10
11
11
00
01
10
10
10
00
00
00
11
10
10
00
00
00
10
01
00
10
11
00
10
01
00
10
00
00
00
00
10
00
10
11
00
00
10
10
00
00
00
00
11
10
00
11
11
00
10
00
00
01
01
11
10
10
10
10
10
10
01
00
11
10
00
10
00
01
10
10
00
00
00
00
11
10
01
11
00
11
10
10
10
11
00
01
11
01
10
11
00
11
00
01
00
01
10
10
11
01
01
11
11
00
10
00
00
10
00
01
10
01
01
11
10
01
11
10
11
00
00
00
10
11
00
00
10
11
00
00
10
11
10
00
01
00
00
01
00
00
00
10
10
00
10
10
00
10
00
11
00
10
11
10
01
00
01
10
00
10
10
10
00
00
10
11
00
00
00
01
11
11
01
10
01
10
01
01
01
10
01
00
10
10
00
10
11
10
00
01
00
11
00
01
01
10
00
01
01
10
11
01
10
01
00
01
10
11
00
10
10
00
00
11
11
00
10
00
00
11
00
00
10
00
00
11
00
01
00
11
10
11
10
01
00
11
10
00
10
10
01
00
00
10
00
00
01
00
01
00
01
01
00
11
10
00
00
11
11
01
10
10
00
10
10
00
10
11
00
01
00
10
01
00
10
10
00
00
11
00
10
01
10
01
01
11
11
11
00
00
00
10
01
00
11
10
00
00
01
00
10
01
01
11
10
01
01
10
10
10
00
00
00
11
10
10
01
10
11
10
00
00
10
01
00
10
11
00
11
01
01
11
10
10
00
01
10
11
00
01
11
01
10
10
10
01
01
10
10
00
01
10
10
00
00
01
00
11
11
11
10
00
01
00
10
10
10
00
10
10
00
11
11
01
10
01
10
10
00
01
10
10
00
00
00
00
11
01
00
11
00
01
01
11
00
00
00
10
10
11
00
00
00
10
00
10
10
11
10
11
00
10
00
00
01
10
10
10
10
10
00
00
00
00
00
00
10
10
01
11
00
01
10
00
10
00
00
10
10
01
01
00
10
00
00
10
10
10
00
10
00
00
00
00
10
10
00
11
00
00
01
00
11
11
01
01
01
11
00
10
01
11
11
01
00
00
11
11
11
00
10
10
11
00
01
11
10
11
00
00
00
00
10
10
11
10
10
10
11
10
11
01
01
00
01
10
10
01
10
10
11
10
00
00
00
11
01
01
10
11
00
00
11
10
11
00
00
00
00
11
00
00
10
10
00
00
11
11
00
00
00
10
10
00
01
00
10
11
00
01
10
10
01
00
11
10
10
01
00
00
10
10
01
00
10
10
00
11
00
00
01
00
10
10
01
10
00
01
11
11
10
00
00
01
10
00
11
00
01
00
10
11
01
01
00
10
01
10
10
01
01
00
00
10
10
00
01
11
01
00
00
10
00
11
00
00
10
10
10
00
10
11
01
11
10
00
10
00
00
00
01
00
10
11
00
01
10
01
10
01
10
01
10
00
11
10
10
11
10
01
10
00
00
00
01
11
10
00
10
00
00
00
00
11
01
10
00
01
10
00
01
10
00
01
10
01
11
00
10
11
00
10
00
01
11
00
01
11
10
11
00
01
00
10
10
00
11
10
11
00
01
11
00
01
00
11
10
01
01
00
01
10
01
00
00
11
10
10
01
00
10
10
10
10
10
01
10
00
11
00
00
11
11
01
00
11
00
00
10
00
00
10
10
00
00
10
00
00
01
10
10
00
10
11
00
11
01
01
11
11
00
00
11
11
10
00
00
10
10
10
00
10
10
01
00
11
10
00
10
10
00
11
10
00
00
00
10
01
00
10
10
00
00
10
10
11
00
00
00
10
10
10
10
00
01
10
10
01
00
10
01
10
00
10
10
00
01
10
10
10
01
10
11
00
01
10
00
01
11
01
00
00
11
01
01
01
11
11
00
10
10
00
10
10
00
00
01
00
00
11
10
01
00
00
10
11
10
10
00
00
00
01
00
10
10
00
10
10
10
10
10
01
00
01
10
00
00
00
00
11
10
00
00
11
10
00
00
10
00
01
11
00
11
10
00
01
00
10
10
00
01
00
00
00
10
00
00
10
10
11
11
10
00
01
00
10
10
10
00
01
01
00
01
01
11
10
00
11
10
00
11
00
00
10
10
11
10
10
11
00
00
10
11
00
00
01
00
01
10
10
01
10
00
11
10
01
10
00
10
10
10
10
10
00
00
01
11
11
00
00
01
10
00
00
01
10
00
01
10
10
00
01
00
10
10
01
10
00
10
10
11
11
00
11
10
00
10
10
01
00
00
01
11
00
10
11
00
00
11
11
00
10
10
01
10
00
11
00
00
11
10
01
00
10
01
11
00
00
11
10
11
00
10
01
00
10
10
00
00
01
00
10
10
10
10
00
11
01
10
10
11
10
01
01
01
10
11
01
01
10
00
00
11
00
00
00
11
00
10
00
00
00
10
01
00
00
11
01
10
10
11
00
10
10
11
01
00
00
10
01
11
11
10
00
00
11
11
00
00
11
01
10
10
11
01
11
00
00
00
10
01
10
10
00
11
10
11
10
00
00
01
10
11
01
11
00
11
10
00
00
00
10
10
01
01
10
11
01
00
10
00
10
10
01
00
10
11
00
10
10
11
00
11
10
11
11
00
00
10
10
01
11
11
10
10
01
00
01
01
10
10
11
10
10
11
00
01
10
01
10
10
00
10
00
00
00
11
00
00
10
00
01
00
11
01
00
10
10
01
01
00
10
10
10
01
00
10
01
00
10
10
00
10
01
00
00
00
10
10
10
11
10
00
11
11
11
00
00
00
10
10
10
00
01
10
10
00
00
00
10
10
11
00
00
10
10
01
00
01
10
00
01
11
10
01
01
10
10
00
10
01
11
00
00
01
01
11
01
00
10
10
00
00
10
00
10
10
11
01
01
00
00
10
00
10
00
00
10
10
11
01
10
10
00
00
10
11
11
11
00
11
10
00
10
01
01
11
10
01
10
11
01
00
10
10
10
10
00
01
11
10
11
00
01
00
00
00
11
11
10
00
00
00
10
00
00
10
11
10
10
01
10
10
01
00
01
11
11
00
00
00
10
10
01
00
10
10
10
01
00
10
11
10
00
00
01
10
11
11
01
00
10
00
10
10
00
11
10
01
00
10
11
01
10
10
01
00
10
10
00
11
10
00
11
10
01
01
00
10
00
01
10
10
00
01
10
01
11
11
10
00
10
10
00
10
10
01
11
00
01
00
01
00
00
10
10
00
00
10
10
00
10
00
00
10
10
01
10
00
11
10
01
00
10
11
00
01
01
10
10
01
01
00
01
10
11
00
10
00
01
10
10
10
00
10
11
01
01
00
01
10
01
00
01
01
10
00
00
01
10
00
10
11
10
10
00
00
01
10
00
00
10
11
11
00
00
00
00
10
01
00
10
11
10
01
00
11
10
10
01
00
01
01
10
00
00
10
11
00
01
10
11
10
11
00
10
11
00
11
10
11
10
01
00
11
00
00
10
10
00
01
00
01
00
11
10
00
10
10
00
10
11
01
00
10
10
00
00
00
11
00
01
00
00
10
00
11
10
00
00
11
10
00
10
10
10
01
00
10
10
11
10
10
10
00
10
10
00
00
00
00
10
10
10
10
00
10
11
00
11
00
10
10
11
11
10
10
00
10
01
01
11
01
01
01
01
10
10
10
11
10
00
00
11
11
11
11
00
10
10
10
01
00
11
11
10
00
10
11
01
10
10
10
11
01
10
01
11
01
00
10
10
10
11
11
00
00
00
01
10
10
10
00
11
00
10
00
01
11
11
01
00
10
11
00
00
11
10
11
00
11
00
00
10
11
00
00
11
00
01
11
10
00
11
10
01
01
10
10
00
00
11
01
00
01
01
10
10
11
11
10
10
00
00
10
11
00
10
11
11
11
01
10
00
00
10
00
00
10
10
00
00
00
11
10
00
10
00
10
10
00
00
00
10
00
10
00
01
10
10
10
00
11
10
01
00
10
10
10
11
10
11
01
00
11
10
11
01
11
01
00
10
10
10
10
10
01
00
01
00
10
10
11
00
01
11
10
01
11
01
00
11
10
01
11
10
01
00
11
10
00
00
00
10
00
00
10
01
11
10
10
01
11
00
11
11
11
10
01
11
11
00
00
00
10
01
01
11
10
10
10
01
11
10
01
00
10
11
10
00
00
00
10
01
00
01
01
10
11
10
11
00
11
10
00
00
00
11
11
01
01
01
10
11
11
01
11
11
11
01
00
10
10
10
00
00
10
00
10
10
10
10
00
01
10
00
00
00
10
00
00
11
11
10
00
10
00
10
00
00
10
00
10
00
01
11
11
01
01
01
01
01
11
01
00
11
10
00
00
10
11
00
00
10
01
10
00
10
10
11
00
11
10
00
01
10
01
01
10
11
00
11
01
11
10
00
11
00
10
10
00
00
11
11
00
11
10
10
10
00
00
10
01
00
00
00
10
01
01
11
00
10
10
10
00
00
01
10
10
10
01
10
10
01
01
10
00
00
10
10
00
01
10
00
00
10
00
10
10
00
10
00
10
10
00
00
10
00
00
11
00
00
00
10
10
01
00
11
00
01
10
00
11
10
00
00
00
00
11
00
10
00
01
10
01
00
00
01
11
00
00
00
11
01
00
00
10
01
10
11
00
10
10
11
01
11
11
00
00
00
00
10
10
00
01
10
00
11
11
00
10
10
00
00
10
10
00
00
00
01
10
01
10
01
10
01
00
11
01
11
10
00
00
10
00
01
10
11
10
01
00
11
10
01
00
10
10
00
11
11
00
00
10
01
00
10
11
10
11
00
01
10
01
00
11
00
10
11
10
00
01
00
10
00
00
10
10
10
01
10
11
11
01
10
11
10
00
00
10
01
00
01
10
01
00
01
10
10
10
00
01
01
11
10
10
00
01
10
11
10
01
00
00
01
00
11
10
10
00
11
10
00
00
10
10
10
00
01
01
11
10
00
10
10
00
01
10
10
00
00
01
10
11
00
10
00
10
00
10
10
00
10
00
01
00
11
11
10
00
00
10
10
00
01
10
10
00
10
10
10
01
11
10
00
10
10
00
10
00
01
11
11
00
10
01
11
01
11
00
01
11
10
11
01
00
11
11
10
10
00
10
11
00
01
01
11
11
01
10
11
01
10
00
01
00
10
10
00
10
11
10
00
01
10
00
11
10
00
00
11
10
00
11
10
01
10
10
11
00
01
11
10
01
11
00
10
10
00
10
10
01
11
10
01
00
11
11
00
00
11
00
10
00
01
10
10
10
00
01
00
00
10
01
11
10
01
00
00
00
11
00
00
00
00
10
10
00
00
10
10
00
00
01
01
10
01
00
00
01
00
10
10
11
00
11
10
00
00
10
10
11
11
01
01
11
00
00
01
00
10
10
00
11
00
00
11
10
11
11
10
10
00
10
11
00
00
00
01
00
10
00
11
00
01
00
10
00
00
10
11
11
00
00
10
10
10
00
10
10
10
00
10
00
00
10
11
00
10
11
10
01
01
10
01
01
10
00
11
10
00
11
11
01
00
11
00
10
10
10
01
00
10
10
10
00
00
00
00
10
00
11
11
01
10
10
00
10
10
00
00
10
10
01
00
00
10
11
10
11
00
00
10
11
00
10
00
00
00
10
10
01
01
01
10
10
01
10
10
10
00
01
00
00
11
00
01
10
00
11
10
10
10
10
01
00
10
00
00
11
10
00
01
00
11
10
10
10
10
10
00
10
11
00
10
01
10
00
00
01
01
11
10
11
10
10
01
11
10
00
10
10
00
00
00
01
11
10
01
10
11
10
00
10
00
00
10
10
00
00
00
10
00
11
11
01
10
01
10
10
10
10
01
11
10
00
10
01
10
01
00
10
11
10
10
10
00
00
01
00
11
10
00
01
10
11
00
10
00
01
10
01
00
00
00
11
00
10
10
01
00
00
10
01
10
11
10
10
10
00
11
00
00
10
00
10
01
10
11
00
01
01
10
01
01
00
11
01
01
00
01
10
10
10
01
10
10
10
00
00
00
00
10
10
10
10
10
11
01
00
10
11
10
11
11
10
01
00
01
00
10
10
00
01
10
11
01
11
11
10
10
01
10
10
00
00
10
01
10
00
10
01
10
00
01
10
11
10
00
10
10
00
10
00
01
10
00
00
10
10
01
00
10
10
10
11
00
01
00
11
01
01
10
11
10
01
10
10
00
00
10
11
01
00
01
11
11
01
10
11
00
01
10
00
01
11
10
00
01
11
10
10
10
00
00
00
00
10
00
11
10
10
00
01
00
10
11
10
00
10
10
00
10
01
10
11
10
00
01
01
10
10
10
01
01
01
00
10
00
01
10
00
00
11
11
00
10
00
01
00
11
10
11
10
01
10
01
00
11
00
00
00
01
01
10
01
00
00
01
00
10
11
10
10
10
10
10
10
00
00
00
00
00
00
00
10
01
11
00
01
00
11
00
10
11
10
10
00
00
11
01
00
11
10
11
11
10
01
00
10
11
10
00
01
00
11
00
00
10
00
00
10
11
00
10
10
01
00
01
10
11
10
00
11
11
10
00
00
10
00
11
01
01
00
10
00
10
01
00
01
10
00
00
00
10
10
11
00
10
00
00
10
00
10
10
00
01
10
00
10
10
00
00
00
10
01
00
10
01
11
01
00
00
10
11
00
00
00
10
10
00
11
10
00
10
11
10
01
11
11
00
10
00
00
10
11
11
01
01
10
11
01
11
10
10
10
00
01
10
10
01
10
10
01
01
00
11
10
10
01
00
10
11
10
00
00
00
11
00
00
00
00
01
11
00
10
00
10
00
00
10
10
11
00
00
10
11
00
00
00
10
10
10
10
10
11
00
00
00
10
10
11
10
11
00
11
00
10
00
01
10
10
00
00
10
10
10
00
11
10
11
00
10
10
10
10
10
01
01
11
10
01
00
10
01
01
11
01
01
10
00
01
00
00
01
11
00
10
00
00
10
00
10
10
10
10
00
10
10
01
11
10
10
00
10
10
00
00
00
01
00
11
00
00
10
10
00
00
10
00
10
00
10
10
00
00
00
00
01
00
00
11
00
10
11
00
00
00
01
10
01
00
00
10
00
10
10
00
01
01
00
00
10
11
11
10
01
00
01
10
01
10
10
10
00
00
11
00
01
10
10
11
11
10
00
00
11
00
00
10
11
00
00
11
11
01
10
11
00
10
00
00
11
11
10
01
11
10
11
10
11
11
01
10
11
10
00
00
10
11
01
00
01
10
00
10
10
11
11
10
01
00
10
10
10
11
11
11
00
10
11
00
00
00
00
11
11
00
01
11
11
10
11
11
11
01
10
00
01
00
11
01
00
10
00
00
10
10
00
10
10
00
10
00
00
10
11
00
00
00
11
00
11
11
00
01
10
10
11
00
00
10
11
11
10
00
00
00
11
01
00
10
00
10
00
11
00
00
01
00
00
10
10
10
11
11
01
00
00
10
11
00
01
10
10
10
00
00
10
00
00
00
11
10
01
00
10
01
10
10
01
01
11
01
11
00
10
10
00
00
10
01
00
11
10
00
00
11
00
10
01
11
10
10
10
00
10
00
00
00
01
00
00
10
11
10
10
11
11
00
11
11
01
11
11
11
10
01
01
10
10
01
00
00
11
10
10
10
10
10
00
00
10
00
01
10
11
01
01
10
11
11
00
00
10
10
00
00
11
10
01
00
10
10
10
01
11
00
00
10
00
01
11
10
10
11
01
10
10
10
10
11
00
01
00
10
00
10
00
01
10
00
10
10
11
11
11
00
00
01
00
11
11
10
01
00
10
10
10
00
00
10
10
01
01
10
00
00
00
01
00
00
00
11
11
10
00
00
00
11
00
00
11
00
11
00
10
00
10
10
10
10
00
00
10
11
00
01
00
00
01
00
10
01
00
01
10
00
11
10
01
10
00
10
11
11
00
01
00
10
10
00
00
00
11
10
10
00
10
10
00
00
00
01
01
00
00
10
01
01
10
01
10
11
11
11
00
10
00
00
00
10
00
01
00
00
00
00
10
01
11
11
00
00
10
10
01
00
10
10
11
00
11
10
00
01
10
11
10
01
00
10
00
10
11
10
11
01
10
11
00
10
01
11
10
00
01
01
00
10
01
01
11
01
00
10
10
00
01
01
10
11
01
01
00
11
00
11
11
11
10
00
11
10
01
00
11
01
10
10
00
01
10
10
00
10
00
00
10
10
01
01
00
00
10
10
10
10
10
11
00
00
00
00
10
00
10
10
11
00
00
11
00
01
00
10
11
10
10
01
10
00
11
10
11
00
01
11
10
00
00
01
01
00
11
00
11
11
11
10
11
10
00
10
11
10
00
00
00
11
11
11
01
00
10
00
00
11
11
11
00
11
00
00
10
01
10
00
00
11
10
11
10
11
10
01
01
01
00
10
10
00
10
00
00
10
10
01
01
10
00
00
10
00
00
10
11
10
00
10
01
00
10
00
11
00
10
11
00
10
01
01
10
10
10
00
01
11
01
00
10
10
11
01
00
11
10
10
10
01
10
11
10
00
10
10
00
00
10
10
00
11
00
11
10
11
11
00
01
10
10
00
10
00
01
10
10
00
00
00
11
11
01
00
00
11
10
10
01
10
01
00
11
00
01
00
10
01
10
10
00
11
10
00
11
10
11
10
00
00
10
10
10
11
00
00
00
00
00
11
11
01
10
00
01
10
10
11
00
00
00
01
10
10
10
00
01
10
00
00
10
00
00
01
01
10
01
10
00
00
01
11
01
00
11
10
00
00
10
00
00
10
11
00
00
01
00
11
00
01
11
11
11
10
11
00
00
10
10
10
10
11
01
00
00
01
00
01
00
01
11
10
11
10
11
10
01
01
10
10
00
10
00
10
10
01
10
10
10
00
00
01
11
00
00
10
11
10
00
01
10
10
10
00
00
10
11
01
11
01
01
01
10
11
00
11
10
00
00
11
00
00
01
11
11
00
00
10
01
10
00
01
10
01
10
01
10
11
00
00
11
11
10
10
01
00
01
10
10
00
00
10
10
10
00
01
00
00
10
01
01
01
10
10
00
01
01
10
10
01
00
10
00
11
10
00
00
10
01
00
10
10
00
00
11
11
00
01
10
11
00
11
10
01
10
10
00
10
10
00
10
10
10
01
11
10
10
10
01
00
01
10
01
01
11
00
10
11
11
01
00
10
00
00
00
10
10
00
11
01
00
11
00
01
00
01
11
10
10
00
00
10
00
01
00
10
10
10
11
01
10
00
01
00
11
11
11
01
11
00
00
00
10
10
10
10
00
00
10
01
10
01
10
10
01
10
10
10
00
00
10
11
01
00
10
11
01
00
10
11
10
01
00
00
00
10
00
00
10
10
01
11
00
10
00
10
10
00
10
10
01
11
00
11
11
11
10
01
00
11
10
10
10
00
00
10
00
01
00
00
00
10
10
00
00
10
01
00
10
11
11
11
10
00
01
10
01
00
10
10
10
01
00
01
10
11
10
01
10
00
00
00
01
10
11
11
11
10
01
10
11
10
00
00
10
10
00
00
10
10
00
01
10
01
11
10
10
00
01
00
00
10
11
10
11
00
00
11
00
01
00
01
10
00
10
10
10
00
10
10
01
10
00
10
10
10
00
01
10
11
11
10
00
01
00
11
01
01
00
10
11
00
01
10
10
01
10
10
00
00
10
10
11
00
10
00
01
10
11
10
10
10
00
00
01
00
11
10
00
00
01
00
10
10
00
00
10
01
10
10
01
00
10
10
00
10
11
01
10
11
00
01
11
10
00
00
10
10
10
10
10
11
00
11
11
10
00
01
00
00
01
10
10
11
01
01
01
00
00
00
10
11
11
00
01
11
10
10
10
00
00
00
11
10
01
10
01
00
11
10
01
10
10
10
00
11
11
00
00
10
00
00
11
00
11
00
10
10
00
00
00
01
11
00
00
11
01
10
10
00
00
00
10
11
00
10
10
10
11
00
10
00
01
01
11
10
00
11
11
01
00
00
11
10
10
10
00
01
00
00
10
00
10
00
00
10
10
00
10
10
00
00
10
00
01
00
11
10
10
10
10
11
00
10
10
01
10
01
01
01
00
10
10
10
11
01
00
11
10
00
01
00
00
10
00
10
10
01
00
01
10
00
10
11
00
01
10
10
10
00
10
01
00
10
00
01
11
11
00
01
00
10
10
00
00
11
11
10
10
00
01
10
00
01
11
00
01
10
00
00
00
10
10
10
01
01
10
00
10
00
10
11
10
00
01
11
01
01
01
11
01
00
00
10
10
00
01
10
10
10
10
00
10
10
00
00
10
11
00
11
10
11
00
11
11
10
11
11
00
01
10
10
01
00
10
10
00
00
00
10
10
00
00
01
10
10
11
11
11
10
10
10
00
11
11
00
01
11
01
10
00
00
10
10
00
00
10
01
11
11
10
00
00
10
11
01
00
10
11
00
01
10
00
11
10
10
00
11
11
11
00
11
01
11
10
00
00
11
11
01
00
01
00
11
10
00
01
10
10
10
10
00
00
10
10
10
00
10
10
10
10
00
00
00
10
00
01
10
10
10
00
00
00
01
00
11
11
10
10
01
00
10
10
01
10
11
10
00
01
11
10
10
10
00
00
00
00
10
11
11
00
00
10
10
10
00
00
11
10
01
00
11
00
10
10
00
00
11
10
01
01
11
11
01
10
10
00
10
10
00
01
10
10
10
11
01
00
10
01
01
00
10
00
10
00
00
10
10
01
00
01
01
10
00
01
10
00
10
11
00
11
10
10
00
01
00
00
01
01
00
10
10
11
00
10
00
11
10
00
00
10
11
00
01
11
01
00
01
00
10
10
11
00
10
00
11
00
01
00
01
11
10
10
00
10
10
00
00
00
11
00
00
10
01
00
11
10
01
10
01
00
11
10
10
00
00
00
10
00
10
01
10
00
00
10
00
01
11
00
00
01
00
00
10
01
00
01
10
10
10
01
00
00
11
10
00
00
11
10
01
11
00
01
11
11
11
01
00
00
10
10
10
00
01
11
10
11
11
00
10
00
01
00
11
11
00
01
10
10
00
10
10
10
01
00
11
10
10
10
11
10
10
11
00
00
10
00
11
10
10
11
10
00
00
11
10
11
11
00
00
01
10
00
00
11
11
00
00
10
00
10
11
00
11
10
01
10
10
00
10
01
00
10
10
00
00
10
10
01
11
00
11
11
00
00
00
00
10
00
10
10
11
10
01
00
11
10
00
10
10
10
11
10
00
00
10
00
00
01
10
10
10
10
00
00
10
10
11
01
01
10
00
01
10
01
10
00
00
10
00
10
10
01
00
00
11
01
01
10
10
11
10
10
10
10
11
01
10
01
10
00
01
11
01
01
01
11
01
00
11
10
00
01
10
10
10
00
10
10
00
11
10
00
01
00
01
01
00
00
11
10
11
00
11
10
01
00
10
10
00
00
00
00
10
10
00
10
00
00
01
10
01
01
11
10
11
00
00
10
10
00
11
01
10
00
01
11
11
00
00
00
10
10
11
10
00
00
01
10
01
10
01
00
10
10
10
10
00
10
10
11
11
01
10
00
00
00
10
01
00
11
00
00
00
01
00
00
10
10
11
11
00
00
10
11
10
00
00
01
10
00
00
10
11
10
11
00
11
10
00
10
00
00
10
10
01
00
11
10
00
01
10
00
01
00
00
01
11
10
10
10
01
11
11
01
01
00
00
01
00
11
11
01
00
01
01
11
10
00
10
10
00
01
00
11
10
01
11
00
01
11
00
01
10
10
10
10
00
10
10
01
10
01
10
10
11
00
01
10
01
00
11
10
00
00
10
00
01
00
11
00
10
10
01
00
00
00
10
10
01
10
00
00
11
00
00
00
10
10
00
00
10
00
01
10
11
00
01
01
10
11
11
10
00
01
10
11
11
01
00
00
10
10
00
01
10
10
00
00
10
00
01
00
11
10
11
10
10
11
01
00
10
11
11
11
01
00
00
10
00
00
11
10
00
00
10
11
10
10
00
00
10
00
00
11
10
00
01
01
10
11
10
01
01
00
11
00
00
11
10
00
00
11
10
01
00
11
10
00
01
11
10
00
00
00
10
10
00
00
00
00
10
11
01
10
10
00
10
00
00
10
11
10
11
00
10
00
10
10
00
11
10
10
11
10
00
10
10
00
10
00
00
11
01
01
10
01
10
10
10
10
00
10
11
00
10
11
10
00
11
10
01
00
11
10
01
00
01
00
10
01
10
10
00
01
00
10
11
10
10
10
11
00
11
10
00
11
00
10
10
00
11
11
10
00
10
10
00
11
10
01
00
10
01
00
01
01
00
10
00
11
11
00
00
10
01
00
10
00
11
00
10
00
10
00
01
00
10
00
11
00
00
11
00
00
11
00
00
00
01
10
00
10
10
10
01
10
11
11
10
10
00
10
00
00
11
11
11
01
11
10
01
00
11
10
00
00
11
10
01
00
10
00
10
10
11
10
01
00
00
00
10
10
00
11
10
00
10
01
10
01
10
11
00
10
10
00
00
00
10
10
00
00
00
11
00
00
10
10
11
11
00
00
10
01
00
00
10
00
00
10
10
11
11
00
00
00
01
00
10
10
10
10
00
00
01
10
10
11
10
10
00
10
01
10
01
01
01
10
10
10
00
01
10
00
00
10
01
01
10
01
00
00
11
00
11
10
10
00
01
10
10
10
00
00
10
00
00
10
10
01
10
11
00
00
01
10
00
11
11
01
11
10
11
01
10
11
00
01
10
01
00
00
11
11
01
11
10
11
01
00
11
00
00
11
00
00
10
00
11
00
00
10
10
00
10
10
00
11
10
01
00
10
00
10
01
11
11
01
00
10
00
10
10
00
01
10
11
00
00
10
11
01
00
10
11
10
00
00
00
00
11
00
10
11
11
00
00
01
10
11
01
00
10
10
10
01
10
11
01
10
10
01
01
11
00
00
10
00
11
11
00
00
10
00
01
01
10
00
00
01
00
01
10
10
11
10
00
00
00
10
00
00
10
00
00
11
10
10
00
10
00
00
11
10
00
00
10
10
10
01
00
10
10
00
00
00
11
00
10
01
01
00
00
10
11
01
01
11
00
01
00
01
10
01
00
10
10
00
11
11
11
00
11
00
10
01
00
11
11
00
00
11
00
01
01
11
10
00
10
10
11
10
11
00
00
01
11
11
00
00
00
10
11
00
10
10
11
10
00
10
10
00
01
00
00
11
11
01
00
01
00
11
00
11
10
11
00
01
01
10
00
00
11
11
00
00
00
10
01
10
11
01
00
10
10
10
01
10
10
01
00
10
01
10
10
10
00
10
00
00
00
00
10
10
10
00
10
00
00
00
00
01
00
10
10
00
10
10
00
10
10
10
00
01
01
11
10
10
01
00
00
00
10
11
00
10
11
01
00
10
00
00
10
11
11
00
00
11
00
00
00
01
00
10
00
10
10
00
10
01
01
11
10
11
00
01
10
10
10
00
01
00
00
11
11
00
10
01
11
01
10
10
10
00
01
00
10
11
10
11
11
01
10
00
11
00
01
01
00
10
10
10
01
00
11
10
10
00
11
00
00
00
10
10
10
00
01
01
01
00
01
00
00
00
00
10
11
10
11
10
10
00
00
10
00
00
10
01
01
10
00
10
00
00
10
01
00
00
00
10
11
10
11
00
11
00
00
10
10
10
00
10
10
00
11
11
00
10
01
10
10
10
01
00
10
11
00
11
11
00
01
00
11
10
00
00
00
00
11
00
11
10
00
10
11
00
10
10
00
00
00
10
10
00
01
11
00
01
00
00
10
10
01
10
00
01
00
11
10
10
11
00
10
01
01
10
01
10
10
00
00
00
00
10
11
00
00
10
00
00
11
10
00
00
00
10
10
11
10
10
00
11
00
00
00
00
11
00
00
10
01
11
10
00
10
01
00
01
11
10
01
01
01
00
00
00
01
01
10
10
00
00
10
10
10
00
10
10
00
10
11
10
00
11
10
01
10
10
10
00
00
11
11
01
10
00
01
00
10
11
00
00
00
00
00
10
11
00
10
10
01
00
00
10
10
00
01
00
00
00
11
01
11
11
00
00
01
00
10
00
00
10
10
00
00
00
10
10
00
10
10
11
11
11
01
10
00
01
00
10
10
00
00
10
10
11
00
10
10
00
11
00
00
10
00
11
10
11
11
00
01
00
11
00
00
11
00
01
11
11
01
00
11
10
01
01
10
10
01
00
11
00
01
10
10
00
10
00
00
10
00
11
11
10
10
00
10
11
01
01
01
10
00
10
00
11
01
10
11
10
10
00
00
10
11
00
00
00
00
00
00
10
10
01
01
11
10
00
00
11
00
01
10
10
00
10
10
01
00
11
10
00
01
01
10
10
01
10
00
00
01
00
10
00
10
10
01
00
01
11
00
10
10
10
11
00
00
00
00
10
11
00
00
10
10
10
01
00
00
11
00
10
00
11
01
01
01
00
11
10
10
00
00
10
00
11
10
10
00
00
11
10
00
00
10
10
00
00
10
11
10
11
00
00
00
10
01
01
00
01
00
01
00
00
11
01
00
10
00
01
01
00
01
11
11
10
01
10
00
01
00
10
11
00
11
00
01
10
10
01
00
00
01
00
00
00
10
00
10
10
10
00
01
01
11
11
01
00
10
10
10
00
00
00
11
10
11
11
10
00
10
10
10
01
00
10
10
00
00
10
01
01
11
10
11
10
00
00
10
10
00
00
11
10
00
00
00
01
10
00
00
01
10
11
10
10
11
10
10
00
10
00
10
01
00
10
01
10
10
10
01
00
00
10
10
01
10
11
00
00
10
00
01
10
01
01
10
00
00
00
11
10
01
00
10
11
10
01
00
10
10
01
00
01
10
10
00
00
01
00
11
10
01
00
10
00
10
01
10
00
00
10
10
00
10
01
10
10
10
00
10
10
10
00
10
10
00
00
10
11
01
00
10
01
11
00
00
01
00
10
00
00
00
00
10
10
01
10
10
01
10
11
00
00
10
00
11
10
01
00
01
00
01
10
10
10
00
00
11
10
01
10
00
01
11
00
00
00
11
10
10
10
00
00
11
00
10
00
11
10
10
01
01
00
00
10
00
01
01
01
10
10
10
00
01
10
10
01
10
10
00
10
00
10
00
00
10
01
00
10
00
00
11
10
00
11
11
10
11
11
01
10
10
10
01
11
11
01
01
10
01
10
10
00
01
10
10
11
00
11
10
00
11
01
00
11
00
00
01
11
00
01
11
10
11
00
01
11
10
00
10
10
11
10
01
01
11
10
00
00
00
01
11
10
00
11
10
11
11
00
10
00
00
11
10
10
01
01
00
01
11
00
10
10
10
11
00
00
10
11
01
00
10
10
00
11
00
00
10
10
10
10
01
00
00
10
10
10
00
11
01
01
10
10
00
10
00
10
10
01
00
10
10
11
00
10
10
00
11
00
11
00
11
11
01
10
10
00
10
10
10
10
01
00
11
00
00
11
00
10
10
00
01
00
00
10
10
10
10
00
00
00
00
10
11
00
10
00
10
10
10
00
00
01
01
00
10
10
00
10
10
00
01
10
01
01
10
00
01
00
00
00
10
11
00
00
10
00
11
11
10
00
01
00
01
10
01
10
00
00
01
00
01
10
00
01
10
11
10
00
10
10
01
00
10
11
10
10
11
00
10
10
00
11
10
10
10
00
00
00
00
11
01
10
10
00
10
11
01
00
10
00
10
10
11
11
01
00
10
10
11
00
01
11
10
10
00
10
10
00
01
00
10
10
10
10
00
00
00
10
11
00
00
10
10
11
01
00
01
10
10
11
01
01
01
11
10
11
00
01
00
11
10
00
00
10
10
11
10
01
10
01
01
10
10
00
10
10
01
10
11
11
00
00
10
00
11
10
10
11
10
10
11
10
00
10
00
00
10
01
10
10
01
01
01
00
10
00
11
11
01
10
00
00
10
10
00
00
10
01
01
10
00
11
00
10
10
00
10
00
01
00
00
11
00
10
10
10
10
11
01
01
10
11
00
00
00
10
10
01
00
10
11
11
00
10
10
10
10
01
11
10
11
01
00
11
10
01
11
00
01
10
10
00
00
11
00
01
11
01
11
10
01
00
01
11
00
01
10
11
00
00
11
11
00
00
11
11
11
00
10
00
10
10
00
11
10
10
00
00
00
10
00
01
10
00
00
00
00
00
01
10
10
01
00
10
00
11
11
01
01
10
10
01
11
01
00
00
10
01
01
01
01
11
00
11
01
10
11
01
00
00
00
11
10
10
00
10
11
10
01
00
10
10
00
00
01
10
11
00
00
00
00
10
00
11
00
00
11
11
10
10
11
01
11
10
10
10
10
10
11
01
00
11
00
01
00
10
10
00
11
11
00
00
01
00
10
11
00
01
10
10
10
10
01
10
00
01
10
00
00
10
11
01
01
11
11
01
10
00
01
11
10
10
01
00
00
10
11
00
00
10
10
00
10
00
01
10
01
10
00
10
01
01
00
10
11
00
11
00
11
10
10
00
11
11
00
01
10
00
01
01
10
10
00
00
00
10
00
10
10
00
11
10
10
00
10
10
01
00
10
10
10
01
00
10
10
10
10
10
00
00
10
11
10
10
11
00
11
11
00
00
01
00
01
10
10
10
10
10
01
01
01
10
01
10
01
00
11
00
00
01
11
10
01
10
10
00
00
01
00
10
11
00
01
10
11
11
00
11
10
10
00
10
00
01
11
10
00
11
10
10
00
00
10
11
00
10
11
00
00
10
10
00
00
10
01
10
10
00
10
10
00
00
10
00
00
00
01
10
11
00
11
11
10
00
10
10
01
00
10
10
10
00
00
10
01
10
00
11
00
00
10
00
01
00
10
01
10
00
10
11
10
10
11
00
00
01
11
11
00
00
10
10
10
01
01
10
00
10
10
10
10
00
00
10
00
11
10
00
11
11
10
01
00
10
11
00
00
10
11
11
10
01
11
11
01
11
11
01
11
10
10
01
01
10
10
00
01
00
10
10
11
00
01
01
00
10
10
10
00
00
10
10
00
01
10
10
11
00
11
00
00
10
00
00
10
01
00
10
10
10
10
10
11
00
10
10
01
01
01
01
00
10
00
11
10
00
00
10
11
00
10
01
00
01
00
01
11
00
10
10
10
00
00
11
10
00
10
01
11
01
10
11
00
01
10
10
10
01
00
00
00
10
01
10
00
01
01
10
11
01
00
10
10
00
01
10
10
10
10
00
10
10
01
00
10
00
11
11
01
11
10
01
11
01
00
10
10
00
00
10
11
00
00
00
10
10
00
10
00
11
10
10
01
01
00
00
10
01
00
01
00
11
10
10
11
00
00
01
00
10
10
00
10
10
00
01
00
00
00
01
11
10
11
00
00
10
01
10
10
00
00
00
00
10
10
00
10
11
01
11
11
00
01
00
10
10
11
00
00
10
00
00
00
10
11
00
01
11
11
01
10
11
00
10
10
01
00
11
10
00
01
00
00
01
00
10
01
10
11
11
01
10
10
00
01
01
10
10
00
01
11
11
00
10
10
00
10
01
11
11
00
01
10
00
10
11
00
01
01
01
00
01
11
10
10
01
01
10
11
00
10
00
01
10
01
00
01
10
10
10
10
10
00
01
01
10
11
10
00
00
00
00
10
00
00
00
10
00
00
00
11
00
01
11
10
11
01
11
00
00
10
11
00
00
01
11
10
10
11
00
00
00
10
10
00
10
11
00
01
10
01
00
10
10
10
00
00
11
10
00
01
00
11
10
11
10
00
00
01
00
11
10
00
11
10
01
00
00
10
01
01
10
10
01
00
00
11
00
00
11
00
01
00
00
10
00
01
11
01
01
00
10
11
10
10
00
01
10
10
10
00
00
01
00
11
00
00
10
11
00
00
00
10
00
11
10
00
10
00
01
00
10
11
10
10
10
10
01
00
10
00
00
00
01
00
10
00
11
00
01
10
00
10
10
00
01
00
10
00
00
01
00
10
01
11
11
01
10
11
10
10
01
00
01
00
11
10
10
10
00
10
01
10
10
01
00
00
00
00
01
10
10
01
10
11
00
10
10
11
01
10
00
01
10
01
00
10
11
10
00
00
01
00
00
00
10
10
11
01
00
10
01
00
10
10
10
00
10
10
01
11
01
00
00
10
10
10
01
00
01
11
10
11
10
01
11
11
01
00
10
10
00
00
00
11
11
01
01
10
11
00
00
11
10
01
01
01
00
01
10
10
10
00
00
11
00
00
10
00
11
01
11
01
00
01
00
01
10
01
00
10
11
00
10
10
10
01
00
01
01
10
00
10
10
01
00
00
00
10
10
01
00
11
10
00
11
00
10
10
00
00
10
11
00
10
00
10
00
10
00
00
00
10
10
01
00
10
00
10
10
01
11
11
10
11
00
11
01
01
10
00
00
01
01
11
11
00
10
10
01
00
11
10
00
01
00
11
10
00
00
01
01
10
10
00
11
10
11
00
00
00
10
10
11
00
00
10
11
01
01
00
00
10
11
10
10
10
00
10
10
00
10
10
00
00
11
11
00
10
00
10
10
01
10
00
00
10
10
00
10
00
01
11
10
01
00
11
00
10
01
10
00
00
11
10
00
10
00
01
01
10
11
00
10
11
11
01
00
11
01
10
10
10
10
00
00
10
00
00
10
00
01
10
10
01
00
10
10
00
00
10
11
10
10
00
00
11
10
11
10
00
01
10
00
00
10
11
11
01
00
11
00
01
11
11
10
00
00
10
00
11
10
00
00
10
10
00
10
10
10
00
00
00
10
10
01
10
01
11
10
00
00
10
10
11
01
01
01
10
00
10
01
11
00
01
10
00
01
01
11
10
00
00
10
11
00
10
10
10
01
00
00
00
10
00
10
00
11
11
10
00
00
11
11
00
10
00
01
00
10
11
11
00
00
01
10
10
00
00
00
00
10
11
00
11
00
10
00
10
10
00
11
00
01
00
00
11
10
01
10
10
00
10
00
10
00
00
00
00
00
00
10
00
00
01
11
00
10
10
10
11
00
10
01
11
00
00
01
11
01
00
10
01
00
11
10
01
00
11
01
00
10
10
10
00
11
00
10
10
10
01
00
11
10
00
00
00
00
00
01
10
10
01
10
01
00
00
00
11
00
01
10
11
00
10
10
10
00
11
01
00
10
10
00
01
00
10
11
11
00
11
10
00
00
10
11
10
10
00
00
10
01
00
10
11
01
00
00
11
00
10
00
00
10
00
00
11
01
11
11
00
10
01
11
10
10
11
00
00
01
01
00
00
00
10
10
10
10
00
00
11
00
10
01
11
00
10
10
11
10
00
01
10
00
00
00
01
01
10
00
10
10
01
00
10
10
10
10
00
00
10
01
10
00
00
00
00
11
11
00
00
10
10
00
01
00
10
10
00
10
11
10
10
01
10
00
00
11
01
01
10
01
00
11
00
10
10
00
01
10
10
00
00
10
00
11
00
00
11
10
00
10
10
00
01
10
10
11
00
10
01
00
10
11
00
00
01
00
11
11
10
00
00
00
10
00
10
10
01
01
00
10
00
11
10
00
00
00
11
00
10
11
01
10
01
10
11
00
01
11
11
00
10
01
01
10
10
01
01
01
11
11
11
00
01
10
01
10
01
00
10
10
01
00
10
10
00
01
11
11
00
00
10
00
00
00
11
11
10
01
11
10
10
10
00
00
10
10
00
00
10
00
10
10
11
10
01
00
10
00
10
11
10
00
00
01
01
00
00
00
01
10
01
10
11
10
10
01
01
00
10
00
01
00
00
10
10
01
01
01
10
11
01
11
01
11
00
01
00
10
10
00
00
00
10
10
00
10
11
00
10
00
00
00
11
01
10
10
00
10
11
00
00
00
10
01
10
10
01
10
01
00
00
10
10
00
11
01
00
10
10
00
00
01
10
11
10
00
11
10
00
01
10
10
01
11
00
01
10
10
00
01
10
10
10
00
00
10
00
00
10
10
10
10
10
10
00
10
00
00
10
00
10
10
00
10
00
00
10
00
11
00
01
10
00
01
10
00
10
00
00
01
10
11
10
00
00
11
10
10
00
00
11
10
00
00
10
00
10
10
11
00
00
01
10
10
01
10
10
01
10
01
00
00
10
10
11
01
10
00
00
10
00
10
10
10
11
00
11
10
11
00
10
00
01
00
00
11
00
10
11
11
11
10
10
00
11
10
11
00
01
11
00
10
00
10
11
10
00
00
00
10
00
01
10
11
00
10
00
01
10
10
00
00
10
11
00
01
10
11
10
01
10
11
01
00
01
11
00
00
10
10
10
10
10
00
10
01
00
11
00
11
01
01
11
11
10
00
00
11
00
00
10
10
10
00
10
00
01
11
01
11
10
00
01
01
11
10
11
10
10
00
00
00
00
10
10
11
10
00
10
01
00
11
11
00
00
00
00
11
01
00
10
01
01
10
00
11
10
10
11
00
01
00
11
00
11
10
00
00
10
11
00
11
10
10
00
10
10
01
01
01
01
10
00
10
10
00
11
11
00
01
00
10
10
11
10
10
00
01
00
00
00
00
10
10
01
11
00
00
01
10
00
10
00
00
10
10
10
10
00
10
00
01
11
10
00
00
11
00
00
10
10
01
00
01
10
00
00
00
10
01
11
10
11
10
10
10
00
11
01
00
10
10
10
11
00
10
00
01
11
01
01
10
10
00
10
00
00
10
10
00
11
01
00
10
00
00
11
00
10
01
10
10
00
00
11
11
01
00
10
01
10
10
00
01
11
00
00
00
11
10
01
10
11
00
11
10
00
00
10
10
10
11
00
01
00
10
10
00
01
11
01
01
01
00
11
10
11
01
10
10
01
00
10
10
00
00
10
10
10
00
01
11
10
10
10
10
00
10
10
00
01
10
01
11
01
10
10
11
00
00
10
10
10
10
10
01
00
10
10
10
00
01
10
10
10
00
00
10
10
00
00
10
01
10
00
11
11
11
00
00
10
10
10
00
01
11
10
01
10
00
00
10
10
10
11
01
00
01
00
11
10
00
11
11
11
00
00
10
11
01
10
00
01
10
10
00
01
10
00
01
10
00
10
00
10
11
11
11
00
01
01
10
01
10
10
01
10
10
00
01
10
10
00
01
10
00
00
11
10
11
11
00
10
11
01
00
01
11
01
00
10
01
00
10
00
11
11
10
00
00
11
01
00
00
10
00
10
00
00
00
10
10
10
10
00
00
11
10
01
00
01
10
00
01
10
01
11
10
00
10
01
10
00
10
11
00
11
01
10
10
01
01
00
11
01
01
01
10
10
10
00
11
10
00
00
11
10
00
10
01
11
00
10
01
01
01
00
10
10
10
10
10
11
01
10
11
01
10
10
00
00
11
00
11
10
00
10
01
01
01
11
10
00
01
00
01
00
00
10
10
10
10
00
01
10
11
01
00
10
10
10
00
10
11
00
11
10
01
00
10
00
00
01
10
10
01
10
10
01
00
00
00
10
10
11
01
10
00
00
01
00
01
00
10
01
01
11
01
10
00
00
11
10
00
01
10
10
00
01
00
00
01
01
10
01
00
00
00
00
11
10
01
10
01
11
00
00
11
10
00
00
10
10
01
01
10
10
10
10
01
00
10
00
01
01
00
00
10
01
10
11
00
11
00
00
11
10
01
00
10
00
00
10
10
00
00
00
10
01
10
11
11
11
01
10
01
11
11
00
11
10
00
01
00
10
10
10
01
00
10
11
10
10
00
00
10
01
10
00
00
00
00
01
01
10
00
01
10
01
11
11
01
01
10
11
00
00
10
11
00
01
10
11
00
11
01
00
10
10
10
00
10
00
10
10
00
01
01
11
10
01
11
00
00
10
00
00
01
10
10
00
10
00
10
01
11
00
00
11
10
10
00
00
00
01
00
01
10
10
10
00
11
10
00
10
11
01
00
00
00
10
00
00
10
00
10
11
00
00
10
10
10
00
10
00
10
01
10
01
01
10
01
01
00
00
01
11
01
00
11
00
00
10
11
00
00
00
10
00
00
11
10
11
00
10
10
01
00
00
10
10
01
11
01
00
10
10
10
10
11
01
01
11
11
00
00
11
00
00
11
10
10
11
00
10
00
10
10
10
01
00
10
11
00
10
00
01
01
00
11
01
10
10
11
00
11
10
01
11
10
00
01
01
10
10
00
00
00
11
00
10
00
01
00
11
10
10
10
00
00
11
10
00
01
10
01
10
10
00
00
10
11
11
10
01
00
10
10
00
00
11
01
00
00
11
00
01
11
00
10
00
00
00
10
11
01
10
00
11
01
11
10
00
00
00
01
10
10
01
10
10
10
00
10
10
00
01
10
01
00
11
00
10
00
10
00
01
00
10
10
00
00
00
10
11
00
00
00
10
11
00
00
10
00
01
00
01
11
00
00
00
10
00
00
10
01
00
00
11
10
01
11
00
01
10
10
00
00
11
10
00
00
01
00
00
11
00
01
01
00
10
00
00
10
11
10
00
11
11
10
11
00
00
10
11
00
00
10
11
00
00
00
10
11
10
10
11
00
11
01
00
10
00
10
11
10
00
01
00
10
00
00
10
00
01
10
01
00
10
01
10
00
00
10
10
01
11
10
00
11
00
00
00
11
11
10
10
01
01
10
11
10
10
10
10
01
00
10
10
10
01
11
00
11
10
10
01
11
11
00
00
01
00
01
01
11
10
10
00
01
01
10
10
01
00
00
01
10
00
01
00
10
11
00
00
00
00
01
00
11
11
00
11
10
01
10
10
00
10
11
00
10
00
00
00
00
11
00
00
00
10
10
00
11
11
00
11
10
01
01
00
10
00
00
10
00
00
10
10
00
00
00
00
11
10
00
10
10
10
11
10
11
10
10
10
00
00
10
10
00
10
10
01
00
10
10
00
00
10
10
10
00
00
10
10
10
11
01
10
00
00
00
10
11
00
01
10
11
01
00
00
10
00
10
11
01
00
10
00
00
01
10
00
00
10
00
00
00
10
11
00
10
11
00
10
00
10
00
10
10
10
00
00
01
10
00
10
11
11
01
11
10
00
11
10
10
00
00
11
01
11
00
01
10
11
11
10
10
00
00
00
10
10
10
00
01
11
00
00
00
01
10
10
00
01
10
10
11
00
01
00
00
10
01
01
10
01
01
01
00
00
11
01
00
11
00
01
00
11
11
10
10
00
01
01
11
10
01
00
10
10
00
01
10
00
00
00
10
01
00
10
11
00
10
11
00
00
01
11
00
10
10
00
10
00
10
10
00
00
10
11
10
00
10
10
01
00
01
11
00
01
01
00
10
00
10
10
00
00
11
10
00
11
01
10
11
11
00
01
00
11
11
10
00
00
00
10
01
00
10
10
01
00
10
01
11
11
10
01
10
10
00
00
00
11
11
10
01
01
00
11
10
01
00
00
10
10
00
00
11
00
00
11
10
00
00
01
11
10
10
10
00
10
01
00
10
11
00
01
00
11
01
11
11
00
10
00
00
00
01
11
10
10
00
00
00
00
10
10
10
01
00
11
10
10
01
10
00
01
10
00
01
11
10
10
10
00
00
10
10
01
01
10
01
00
00
11
10
11
10
00
01
10
11
00
01
10
00
10
10
01
01
00
10
10
01
00
10
00
01
11
00
00
00
10
10
10
11
00
01
00
00
10
00
00
10
10
11
11
00
00
10
10
01
10
00
10
10
00
10
10
00
11
11
10
01
10
01
10
01
00
01
10
10
00
11
10
00
01
10
00
11
00
10
01
00
11
10
01
01
10
11
10
00
00
00
01
00
10
11
11
10
00
10
10
10
01
01
10
11
10
01
10
00
00
10
00
10
10
01
10
10
00
00
00
00
00
10
00
10
00
01
10
10
10
10
10
10
00
01
11
01
10
10
00
11
10
10
00
00
10
10
01
01
10
10
01
00
00
10
00
00
01
11
00
01
00
00
01
10
00
01
10
10
10
10
01
00
01
00
10
10
10
10
01
00
01
00
11
11
00
00
10
10
11
10
01
10
00
10
00
00
10
00
10
01
10
11
10
11
11
10
10
00
10
10
01
00
10
10
10
00
00
10
11
01
01
00
00
01
00
10
11
10
11
11
00
01
10
01
11
11
10
00
00
10
10
00
01
01
10
10
11
10
01
00
00
11
11
00
01
10
11
10
00
10
00
10
11
10
01
10
11
00
10
10
11
10
01
11
00
00
00
00
10
11
00
00
00
00
11
10
10
10
00
00
10
11
00
00
11
01
11
01
01
10
10
11
10
00
00
11
11
11
11
01
10
10
01
00
00
11
00
01
11
01
00
00
10
00
11
11
10
01
10
10
10
01
11
10
01
00
10
01
10
10
00
00
10
11
00
00
01
00
11
10
01
11
10
01
01
01
10
11
01
11
10
01
10
10
00
10
10
01
00
00
10
11
00
00
00
00
01
00
11
01
10
10
10
10
01
00
10
01
01
10
01
10
00
10
00
00
10
10
00
00
10
00
10
10
00
10
00
00
10
11
00
00
10
10
01
00
10
10
10
10
10
00
10
00
00
11
11
01
11
10
01
00
10
00
10
10
10
00
11
10
10
10
00
00
00
01
10
01
00
10
00
01
10
10
11
00
00
11
11
10
10
00
10
10
10
00
00
10
10
00
10
11
01
00
00
00
10
00
00
10
00
01
11
00
10
00
10
00
01
10
00
00
00
00
01
10
11
10
10
00
11
11
10
01
01
10
10
10
11
00
10
11
10
01
10
01
10
01
01
00
01
10
01
00
10
00
01
01
11
00
10
00
00
01
00
10
10
10
00
00
10
10
10
01
10
01
00
00
00
00
00
10
11
10
01
00
01
00
00
00
11
00
00
00
10
11
00
01
10
00
00
00
10
00
10
10
00
00
10
11
00
00
11
00
10
10
00
10
01
10
00
10
01
10
00
01
10
00
01
00
01
10
00
00
11
10
10
01
00
00
01
10
10
00
10
10
00
11
00
00
11
10
10
01
00
10
10
00
00
10
01
00
10
10
11
11
11
00
01
10
10
00
10
10
01
00
10
11
00
00
00
01
00
10
11
01
10
01
00
00
00
10
10
10
10
01
00
10
11
10
00
10
10
01
10
10
10
00
00
10
10
10
10
00
00
11
10
11
10
00
11
00
10
01
11
10
11
11
01
10
00
10
10
10
00
00
00
00
00
01
00
01
11
01
00
10
00
11
00
00
00
10
00
10
00
01
10
10
00
11
10
11
00
00
00
11
10
10
01
00
11
11
10
01
00
11
10
11
01
00
00
00
11
10
10
11
00
10
00
11
01
10
00
00
11
00
11
00
10
10
11
00
11
10
00
00
01
00
00
00
10
10
11
10
01
10
10
10
01
00
00
10
10
01
00
10
00
11
11
01
10
01
01
10
11
10
01
00
10
11
00
00
10
01
00
01
11
00
10
10
01
00
10
11
10
00
00
11
11
11
00
00
11
11
00
01
10
00
10
00
00
11
10
11
10
01
01
00
10
10
00
00
11
01
11
00
10
11
01
10
01
11
11
01
00
00
00
10
00
10
10
01
11
10
10
01
00
10
11
10
01
10
11
00
11
10
00
10
00
01
11
00
10
01
11
01
00
01
00
00
11
11
01
10
11
10
11
00
00
00
10
00
10
01
00
10
00
00
10
00
00
10
00
10
00
00
10
00
00
00
01
10
10
10
10
11
00
10
00
01
11
00
00
00
10
10
10
11
01
01
11
10
00
01
11
11
00
00
10
10
10
00
10
11
11
10
00
00
00
10
10
00
10
11
01
00
11
00
00
11
00
10
01
01
11
01
01
10
10
10
00
00
01
11
00
01
11
00
10
00
00
11
00
01
10
00
01
00
10
10
10
00
11
01
10
00
10
11
00
10
00
01
00
11
00
00
00
10
11
11
00
00
01
00
00
00
10
10
11
10
00
00
11
10
00
10
00
11
01
00
10
01
10
00
10
00
01
00
11
10
00
10
00
00
10
01
01
00
10
00
10
00
11
01
00
01
10
00
11
01
11
10
11
00
10
00
00
01
01
11
10
00
10
10
01
01
01
10
00
01
01
00
00
10
10
10
11
01
00
11
10
00
00
10
00
10
10
00
00
10
01
00
11
10
11
01
01
10
11
00
10
00
01
10
10
11
01
00
11
00
11
10
11
10
10
01
00
01
10
00
00
01
00
00
10
10
10
00
01
11
10
01
01
10
10
11
10
10
11
01
00
01
10
00
11
10
00
00
10
10
01
01
11
10
10
00
10
11
00
01
10
11
10
01
01
10
10
10
00
00
01
10
11
00
11
11
00
10
10
00
00
01
01
10
10
00
11
01
00
10
10
01
11
01
00
10
01
10
00
00
10
10
01
00
01
01
01
11
00
01
10
00
10
10
01
00
10
10
00
01
00
10
11
01
00
00
10
11
00
00
00
11
01
10
11
00
10
10
01
00
11
10
01
00
00
11
11
11
00
10
10
00
00
10
10
00
00
11
10
00
10
00
10
10
10
01
00
10
00
10
11
00
10
10
10
00
00
10
00
10
10
11
11
10
00
11
10
10
00
00
00
10
00
11
10
00
10
00
10
01
00
11
00
00
10
00
10
10
00
00
11
00
00
10
01
11
00
00
10
00
10
10
01
01
01
10
10
11
00
01
00
10
00
01
00
11
00
00
01
00
10
10
11
00
00
10
11
11
01
10
10
10
11
01
00
10
00
10
00
10
11
10
01
00
10
00
11
10
01
11
01
00
01
01
10
11
00
00
10
01
01
10
10
01
10
01
01
10
00
01
01
11
10
00
10
10
00
00
00
11
01
00
10
00
10
00
11
00
10
10
00
10
10
10
11
10
00
01
00
11
11
11
10
00
00
10
10
00
00
10
01
10
00
11
10
01
10
10
10
00
10
10
00
00
10
10
10
10
00
10
11
01
00
00
10
00
10
11
01
11
11
01
10
01
00
10
11
00
00
10
01
00
10
00
11
10
01
11
10
00
00
01
10
10
10
01
10
11
10
00
10
01
11
10
00
00
00
10
10
00
01
11
00
10
00
10
10
00
00
11
11
01
11
11
10
00
00
00
10
10
01
00
11
00
11
10
10
01
00
10
00
10
10
10
01
00
00
10
10
00
11
00
00
10
11
11
00
11
10
01
10
11
01
10
00
00
00
10
10
00
10
00
00
01
00
11
00
00
00
11
10
11
01
00
11
00
00
11
01
00
10
00
00
00
01
11
00
01
10
11
11
10
10
01
00
11
10
01
01
10
11
11
10
00
00
11
10
01
01
10
11
10
00
10
00
00
10
11
00
10
11
01
10
10
00
00
11
11
00
10
10
01
10
00
10
00
00
10
10
00
01
00
10
00
10
10
00
00
10
10
00
00
10
10
00
00
00
01
00
10
10
10
10
10
10
01
00
01
10
10
10
11
01
11
00
00
10
11
10
00
01
10
01
10
10
10
01
01
10
00
10
00
10
01
11
11
00
11
10
01
10
10
00
00
00
10
00
00
00
10
10
10
01
10
10
01
00
01
10
11
11
00
11
11
10
01
11
10
00
10
11
00
10
00
01
10
11
10
10
00
10
01
10
00
00
11
01
00
11
00
10
10
00
11
00
00
11
01
10
10
00
11
00
10
00
10
11
00
11
10
00
00
10
11
00
00
10
00
11
00
00
10
00
00
00
10
11
01
11
10
11
00
10
11
10
00
00
10
10
00
10
10
01
10
10
11
10
01
10
00
00
10
00
00
00
10
10
00
01
01
11
10
01
00
10
11
10
00
00
10
10
11
00
11
11
00
10
01
11
00
00
10
00
11
11
00
11
00
11
10
10
00
11
00
01
01
00
00
10
10
00
11
10
00
10
10
00
10
11
00
11
10
10
01
11
11
10
01
01
10
00
00
00
10
00
00
10
11
00
11
10
00
00
00
10
11
00
01
11
01
00
01
01
00
10
00
01
00
11
11
11
01
10
10
11
00
00
10
10
00
00
11
11
10
00
00
10
00
10
10
00
10
11
01
01
01
00
00
10
00
00
01
11
10
11
00
00
00
01
10
01
00
10
10
11
00
01
10
10
11
10
10
10
10
00
10
10
01
01
11
11
10
00
00
10
10
00
01
10
11
10
00
00
11
00
00
10
01
00
00
10
11
10
00
00
10
10
01
10
01
11
00
01
11
10
00
11
10
10
11
01
01
00
10
10
11
00
11
00
00
10
11
00
10
00
01
00
11
10
00
10
10
10
00
10
10
10
11
10
11
00
00
11
00
00
11
10
01
10
10
01
11
10
00
11
01
10
00
01
10
00
00
00
11
10
10
10
10
01
10
01
00
00
11
00
10
11
01
00
11
10
00
10
10
00
00
10
10
10
10
11
01
10
11
10
10
00
01
00
10
01
00
10
10
00
00
01
11
01
00
10
00
11
00
10
10
00
11
00
10
11
10
01
00
01
01
00
11
00
00
00
10
00
11
10
00
10
10
10
11
00
10
00
10
01
01
11
00
10
00
01
01
10
11
00
01
10
00
01
11
10
10
10
10
10
00
01
00
11
00
01
10
10
10
01
10
11
01
00
10
01
10
01
01
11
10
10
11
10
10
11
01
00
11
10
11
00
01
00
11
10
01
01
11
00
00
10
11
10
10
11
00
10
10
00
00
00
11
00
00
01
00
10
00
10
10
00
10
10
00
01
01
01
00
11
01
10
10
00
10
10
01
00
00
01
11
00
00
11
11
10
11
11
01
00
00
00
10
11
00
10
00
00
00
10
11
01
01
01
10
10
00
00
00
11
01
00
01
11
10
00
10
00
10
00
00
10
00
00
01
11
00
10
00
10
10
10
00
11
10
01
01
00
00
10
10
11
10
00
10
11
00
01
10
00
11
00
00
10
10
00
01
01
11
00
01
00
11
10
10
00
00
01
10
11
00
10
10
10
10
00
00
10
00
00
00
10
00
01
00
10
01
10
11
00
10
00
10
10
01
00
10
00
01
10
00
00
01
00
10
01
01
10
00
10
10
11
00
10
01
00
10
01
10
11
11
00
00
10
10
10
00
10
00
00
00
11
00
00
10
01
00
00
11
11
01
00
10
10
00
00
01
10
11
00
00
01
10
00
11
10
00
11
10
01
00
11
10
10
01
10
00
00
01
00
00
10
01
10
01
11
11
10
00
00
00
10
10
00
00
10
11
00
00
00
10
00
01
00
11
00
11
00
11
10
01
10
11
00
01
10
10
10
01
10
11
10
00
10
10
10
10
10
00
00
10
10
10
10
00
11
00
01
10
10
10
10
10
00
01
10
10
01
01
10
11
11
10
01
11
01
01
11
01
01
10
10
01
00
10
10
11
00
01
00
00
00
01
10
01
10
11
00
00
00
10
00
00
00
11
11
11
11
10
01
00
10
10
11
00
01
01
10
00
01
10
01
00
11
10
10
00
10
10
10
10
00
01
01
10
00
10
11
00
10
11
10
00
01
01
00
01
11
10
01
11
10
00
00
11
10
00
10
01
00
11
10
10
00
10
00
00
10
10
00
00
10
10
10
00
11
11
11
10
00
00
11
00
01
10
10
11
11
00
00
10
11
11
01
01
10
10
00
01
00
11
10
01
10
00
00
10
00
00
00
00
11
11
10
11
11
10
10
00
00
00
10
10
00
10
11
01
11
11
00
00
11
10
01
00
00
10
11
10
01
00
10
11
11
00
10
10
00
00
00
11
10
00
11
11
01
01
00
10
01
10
10
11
00
01
11
01
00
00
00
00
11
10
00
00
01
10
00
10
10
11
10
11
10
01
00
10
11
10
10
00
10
10
01
10
10
00
01
00
00
11
10
10
00
11
01
00
00
10
11
10
00
00
10
10
00
10
11
01
01
00
10
10
00
10
00
10
01
00
10
00
01
00
10
00
10
00
00
10
10
10
00
01
00
11
11
11
00
10
11
00
11
00
10
10
00
00
11
10
00
10
10
01
01
10
00
11
10
10
10
01
10
11
10
00
00
10
01
01
10
10
10
01
00
00
10
10
10
11
10
01
11
01
00
00
00
00
01
00
10
11
00
01
11
01
10
10
10
00
11
10
00
00
00
10
01
01
01
00
10
11
00
10
00
01
10
10
00
00
10
00
11
10
10
10
00
10
00
11
00
10
10
01
10
01
01
10
10
00
00
01
01
01
10
10
00
00
00
00
00
10
11
10
10
00
00
00
11
10
00
10
10
10
01
10
10
00
00
10
10
00
10
10
11
10
10
00
11
01
10
11
11
00
10
10
01
00
01
00
11
10
01
11
11
10
00
01
10
01
00
10
10
10
01
00
10
11
10
00
11
10
00
10
11
11
00
01
10
00
01
11
00
10
00
01
10
10
00
00
10
01
10
11
00
00
01
01
01
11
00
01
10
10
00
10
11
01
10
00
00
10
01
10
01
01
10
00
11
10
00
10
00
10
10
11
10
11
10
01
00
00
10
10
01
01
11
11
10
10
00
01
10
11
00
00
00
11
10
00
10
10
00
00
11
01
10
11
00
11
11
10
00
00
10
10
00
10
11
10
00
10
01
10
00
11
11
00
11
00
11
11
10
11
00
10
10
00
00
00
00
00
11
00
10
01
00
10
00
01
10
00
10
11
10
00
10
00
10
10
01
10
10
00
01
01
11
10
01
00
01
00
10
01
10
11
01
00
00
11
11
00
10
10
00
01
10
11
01
10
11
11
11
01
01
11
10
00
00
00
00
00
00
10
10
00
10
10
11
11
00
00
00
10
00
10
01
10
10
01
00
00
01
00
10
11
11
01
00
10
10
10
00
00
11
00
11
00
01
01
10
10
00
10
10
10
01
00
10
00
00
01
10
11
00
01
10
10
01
10
10
11
11
01
10
01
10
00
01
01
11
11
01
00
00
11
01
01
11
10
00
00
01
10
00
00
10
01
10
00
00
00
11
10
00
00
10
10
00
11
11
10
01
00
01
10
10
01
10
01
10
00
00
00
10
01
00
10
00
00
11
01
10
10
10
00
00
11
11
00
10
11
00
01
00
10
10
11
01
00
01
11
01
10
00
10
10
00
01
10
11
11
11
00
00
10
01
10
11
00
00
00
00
10
00
11
10
11
00
01
00
00
01
10
11
00
01
10
10
00
00
10
10
10
00
10
11
00
10
10
10
00
01
11
00
00
00
00
10
00
01
10
01
01
10
00
10
00
10
10
00
10
10
00
01
01
10
00
11
11
00
00
10
00
10
01
01
11
01
00
00
00
10
10
11
00
00
11
11
00
00
10
00
00
11
00
11
00
10
00
11
11
00
00
11
00
11
00
01
10
10
11
10
01
01
11
10
00
10
01
00
01
11
00
10
00
10
10
00
00
10
10
10
00
00
10
11
01
10
10
10
10
10
11
01
10
00
00
10
11
00
01
10
00
00
00
01
10
00
10
11
10
10
01
00
11
10
10
10
00
00
00
00
10
01
00
01
10
10
10
01
01
10
10
00
10
00
01
11
10
11
00
00
10
00
10
00
00
00
00
00
10
00
00
11
01
11
01
10
11
10
10
11
01
00
00
00
00
10
11
11
10
00
01
11
10
00
00
10
10
00
10
00
00
10
01
11
00
00
00
11
11
00
01
11
10
10
10
00
10
00
10
01
11
00
10
11
11
00
01
11
00
00
01
00
00
00
11
10
00
00
00
10
11
10
10
10
10
01
01
00
10
11
00
11
11
11
00
11
01
00
00
11
00
10
11
00
01
00
10
10
01
01
00
00
11
01
01
10
10
10
00
11
01
00
00
11
10
10
00
01
10
10
10
00
00
10
11
00
10
10
00
01
10
11
01
01
10
00
10
10
00
00
00
01
11
11
10
11
11
00
00
10
11
01
10
01
10
10
00
10
00
01
11
11
10
01
00
10
10
11
10
00
00
11
00
00
11
11
10
00
11
00
10
00
00
10
00
00
00
11
10
00
10
01
10
00
01
10
11
00
01
10
10
11
01
00
10
01
10
11
10
11
01
00
00
00
11
11
00
10
00
01
10
10
01
00
01
11
01
00
10
10
11
00
00
10
10
10
00
11
00
00
01
10
10
10
00
01
11
10
10
10
11
10
10
10
10
00
11
00
00
10
11
01
00
10
10
11
00
01
00
11
10
00
00
00
11
10
10
10
10
00
10
01
10
10
00
00
00
00
01
11
00
00
11
10
10
10
00
10
00
00
11
11
00
00
10
11
10
00
01
11
10
01
00
00
00
10
10
10
10
01
11
00
01
00
11
10
01
11
01
11
11
01
00
00
00
10
10
10
00
10
10
00
01
10
10
01
01
10
01
10
10
10
01
00
00
10
11
11
11
00
10
00
10
10
01
10
10
00
01
10
10
01
10
10
00
00
00
00
10
00
00
11
11
01
10
10
00
00
10
01
00
10
11
00
11
11
10
10
00
00
11
00
01
10
11
10
00
00
11
00
00
00
10
10
10
10
00
00
00
10
01
00
01
10
00
00
11
01
11
11
00
00
00
10
10
11
01
00
01
10
10
10
10
01
01
10
11
10
00
00
10
00
01
00
11
00
00
10
00
10
10
10
00
10
10
10
11
11
00
10
00
10
10
01
00
10
10
00
00
11
00
01
01
10
10
11
01
10
10
10
11
00
11
10
00
11
10
10
00
10
10
01
01
10
01
00
10
10
01
10
01
11
10
00
10
10
10
10
11
01
01
01
01
10
10
10
00
10
01
01
11
10
10
00
10
11
00
01
10
10
10
00
10
00
00
11
01
00
10
00
11
11
01
00
10
00
00
00
11
11
01
00
01
10
01
10
10
00
10
00
10
11
11
10
00
10
01
00
10
11
00
00
10
00
00
00
00
10
01
01
10
10
10
01
00
01
10
00
10
11
11
00
00
00
00
01
11
01
01
00
01
00
10
11
10
11
11
10
01
00
00
11
11
00
00
00
11
00
11
00
00
00
00
11
00
00
10
11
11
10
00
00
10
11
10
00
00
10
00
10
00
10
01
00
01
11
00
00
11
10
01
01
10
10
00
10
10
01
00
01
01
00
11
10
00
11
00
10
10
10
00
00
10
10
11
00
10
00
00
00
10
10
00
00
10
00
10
00
00
10
00
01
00
00
10
11
00
10
01
00
01
11
00
11
01
00
10
10
01
10
10
01
01
01
11
10
10
00
00
10
10
00
00
00
11
01
00
10
11
01
11
11
11
11
01
01
11
11
00
00
10
10
01
11
10
01
01
10
00
00
10
10
11
01
00
00
00
00
11
10
00
11
00
11
10
01
00
01
10
10
01
00
00
11
10
00
11
00
00
10
10
10
11
11
00
11
10
10
00
11
10
01
10
01
11
11
11
10
01
00
11
10
00
00
11
10
00
10
00
01
10
01
10
11
00
10
10
00
00
00
00
11
01
00
10
00
10
01
01
10
00
11
01
00
11
00
00
00
11
10
11
00
00
00
00
10
10
10
01
11
00
00
10
10
01
01
11
11
00
10
01
01
10
10
00
01
11
01
00
01
00
11
01
00
10
10
10
00
01
10
01
11
10
10
00
10
10
10
01
00
10
01
10
11
00
10
00
10
00
00
01
10
10
00
00
00
10
01
00
00
10
11
01
01
10
11
10
01
00
10
00
00
10
10
00
10
11
10
00
01
11
10
10
11
10
10
00
10
10
00
01
00
00
10
01
00
11
01
00
10
00
10
11
10
00
01
10
00
01
11
00
00
11
10
10
10
01
01
10
11
01
00
11
10
01
10
10
01
00
10
10
10
10
10
00
00
10
11
10
00
10
10
11
01
10
10
01
10
11
00
10
00
00
00
10
10
01
00
10
01
10
00
00
11
10
10
10
10
10
11
00
00
01
10
00
00
00
01
00
00
10
00
00
11
10
10
01
00
00
10
00
10
11
01
11
11
00
10
10
01
10
00
00
10
11
11
01
11
11
10
00
00
00
11
10
00
00
11
10
00
10
10
10
10
10
11
10
00
01
11
10
11
00
01
10
11
01
11
00
11
00
10
10
00
01
00
00
11
00
00
01
00
10
00
00
11
11
01
00
01
00
10
10
00
10
01
10
10
00
10
00
01
00
10
01
11
01
11
01
01
01
10
00
00
10
11
10
01
01
00
10
10
10
00
00
11
01
10
10
10
01
11
00
00
10
11
10
01
10
11
00
00
00
01
10
10
01
00
10
00
10
01
00
00
10
00
10
01
00
11
11
00
10
10
00
10
01
00
01
10
11
10
10
00
00
11
10
11
00
00
00
01
10
00
00
10
10
00
10
01
01
11
10
00
11
01
01
00
10
10
10
10
11
01
00
10
11
10
11
10
01
10
00
00
10
10
00
10
11
01
01
00
11
11
00
01
00
00
00
11
10
01
10
11
01
10
10
10
10
01
00
10
11
00
00
11
01
10
00
00
10
01
10
11
00
01
00
00
00
10
10
00
10
01
00
10
11
00
00
10
01
01
00
10
00
00
10
11
10
10
01
10
01
00
00
10
01
11
10
11
10
00
00
00
00
11
10
11
10
10
00
00
00
00
00
10
11
10
11
10
10
00
10
00
01
00
11
10
01
00
01
00
01
00
10
10
10
11
11
00
00
11
11
10
10
00
01
01
10
11
00
00
00
00
10
11
11
00
10
00
10
10
01
10
01
11
10
00
10
01
10
10
01
00
01
10
01
00
10
10
10
11
00
00
11
01
10
10
00
10
01
00
01
10
10
00
10
10
11
00
01
01
10
10
11
11
00
01
11
00
01
10
11
11
11
01
00
10
10
00
00
01
01
11
10
01
11
01
11
00
11
01
01
10
10
00
01
10
11
10
00
01
00
01
11
01
01
00
10
10
10
00
01
11
11
00
00
00
00
11
01
00
11
10
00
00
01
11
10
11
01
00
11
10
10
00
00
00
10
10
00
01
10
11
10
11
10
11
10
00
01
10
01
00
10
10
11
00
01
00
10
10
00
10
10
11
00
11
10
00
01
00
00
00
01
10
10
00
11
00
10
10
00
10
10
00
00
00
10
10
00
00
10
00
10
11
10
11
00
00
10
10
00
10
01
00
10
00
10
00
01
11
10
10
01
11
10
11
00
00
10
10
00
00
10
10
11
10
11
00
00
00
00
10
00
01
00
11
10
01
10
01
01
10
00
00
10
10
11
00
10
00
00
10
00
00
01
10
11
01
10
01
00
10
10
01
00
11
10
00
01
00
10
11
00
00
10
00
00
10
11
00
00
11
00
00
00
00
11
00
11
00
10
10
01
00
10
10
10
10
01
11
10
00
10
11
00
10
00
10
10
11
10
01
00
10
01
10
11
10
01
00
10
00
11
10
00
00
10
00
00
00
10
11
01
10
00
10
10
10
00
00
00
00
10
00
00
11
10
01
11
00
10
10
10
10
00
00
11
11
10
00
00
00
10
10
00
00
00
10
10
10
01
00
10
10
11
10
00
10
01
00
10
10
00
00
10
01
10
10
10
10
10
11
01
01
10
10
00
10
11
00
01
10
10
00
01
10
10
01
00
11
01
11
11
11
01
00
00
10
11
00
00
10
01
00
11
00
10
10
11
00
10
10
00
00
11
10
10
01
00
10
10
11
00
11
10
10
00
00
00
10
10
00
00
10
10
10
11
00
10
10
10
11
00
10
00
00
10
10
00
01
10
10
10
10
00
10
01
10
11
00
01
00
00
11
00
00
10
10
00
00
11
10
10
01
00
00
10
11
11
10
01
10
11
10
00
01
00
10
11
10
01
10
01
10
00
00
10
10
10
10
00
01
00
01
10
00
10
10
01
10
00
11
10
11
00
00
00
01
01
10
10
00
01
10
10
10
10
10
00
10
10
00
01
11
01
10
01
00
10
10
00
00
10
11
00
10
10
01
00
11
00
00
11
10
11
00
11
10
10
01
10
01
00
00
10
00
00
11
10
01
11
10
00
00
10
11
10
01
01
00
10
00
00
11
10
00
10
00
10
01
01
10
01
10
01
00
10
10
00
00
00
00
11
10
00
00
11
10
11
11
00
10
10
11
00
01
00
10
10
10
10
00
11
10
00
00
00
10
10
10
10
00
00
00
10
01
00
10
11
11
00
10
00
00
01
11
00
00
10
00
11
00
11
10
00
00
00
11
00
00
11
10
00
10
00
10
11
00
00
00
00
00
00
00
10
00
10
00
10
11
00
00
10
10
10
00
10
10
00
01
00
01
00
00
01
10
01
00
11
11
00
00
10
00
10
00
00
11
00
10
11
10
10
00
10
01
00
00
01
01
10
11
11
01
00
11
00
10
00
00
01
10
10
01
00
11
01
10
00
00
10
10
01
10
10
00
00
00
01
00
11
01
00
01
11
11
10
00
11
00
01
10
00
01
11
00
10
00
11
10
01
00
10
10
01
11
00
00
00
11
10
00
01
10
11
01
10
10
10
11
10
10
01
10
01
01
10
00
00
10
01
00
11
11
10
01
11
01
00
01
10
00
01
00
11
10
01
01
10
00
00
10
01
01
10
10
00
10
10
00
00
01
10
00
10
10
10
00
00
11
10
10
01
01
10
00
00
00
11
11
00
11
10
01
01
00
00
00
10
10
10
01
10
01
00
10
11
10
10
10
10
00
11
10
10
10
01
00
00
10
10
01
01
00
10
00
10
10
00
00
01
10
00
10
10
10
10
00
10
01
10
01
10
11
01
00
11
10
00
10
01
00
10
10
10
01
10
01
00
01
00
01
10
10
11
00
00
10
01
10
11
10
11
01
00
11
00
10
11
00
01
10
01
01
11
11
10
11
00
10
10
00
01
00
00
10
10
10
10
10
01
01
11
11
10
00
01
10
01
00
11
10
00
00
00
00
00
11
10
01
10
00
11
10
00
01
10
10
10
00
00
11
10
11
00
11
10
10
00
00
01
00
01
10
11
11
00
10
11
01
11
01
00
11
10
00
11
01
00
11
11
10
00
01
10
00
00
11
10
00
01
10
00
00
00
00
10
10
10
10
10
10
00
00
11
01
10
10
10
00
10
10
00
00
00
01
11
11
11
00
00
01
00
00
10
10
00
10
10
10
00
11
01
00
11
11
00
10
00
00
01
11
10
11
10
10
00
00
10
10
00
01
00
01
10
00
00
11
00
00
01
11
10
00
10
10
10
01
10
10
00
11
10
00
10
01
00
01
01
00
10
10
10
01
10
10
01
10
10
10
10
00
00
10
10
11
00
01
10
10
10
00
11
10
01
00
10
10
00
00
01
00
10
00
01
10
00
10
00
11
01
10
10
01
00
01
10
10
00
10
10
00
10
10
10
00
10
10
00
00
11
11
01
00
10
11
10
00
00
00
00
10
00
11
10
10
11
01
11
01
01
10
11
01
10
00
01
10
10
01
01
10
11
10
01
10
01
10
10
00
01
10
00
01
10
10
11
00
10
11
01
00
01
11
01
01
10
00
00
00
10
10
10
10
10
00
00
10
10
11
11
11
01
01
11
11
10
01
00
10
00
00
10
00
00
11
01
00
00
10
10
10
11
00
11
10
11
00
01
00
01
11
00
01
10
01
01
00
10
10
00
01
10
11
10
11
10
10
01
00
01
10
10
11
00
10
01
11
10
10
00
00
10
00
10
00
00
10
01
11
00
10
10
00
10
10
00
00
11
01
01
10
10
00
00
01
00
11
10
10
00
00
00
00
10
11
01
01
00
11
10
10
10
10
10
11
01
00
00
00
00
10
10
00
00
00
00
10
11
00
11
00
10
00
10
00
10
11
11
10
01
01
11
01
10
01
10
10
00
10
11
01
00
10
10
00
00
01
10
01
01
11
10
00
10
01
11
10
11
01
00
10
00
10
11
10
00
10
01
00
10
11
00
01
11
00
10
00
10
10
00
01
00
10
01
10
00
00
00
11
00
10
10
00
01
10
01
00
01
10
10
11
10
11
00
00
01
11
11
01
00
11
11
11
11
10
10
10
01
00
10
00
00
01
00
00
11
01
01
00
10
10
10
00
10
10
00
10
11
01
10
01
10
01
10
00
00
11
11
10
10
00
10
11
00
00
11
10
10
00
11
10
00
11
01
00
10
00
00
00
11
01
10
00
00
00
00
10
10
00
11
01
10
01
01
00
00
10
10
10
00
00
11
10
00
00
10
01
10
10
01
11
01
00
11
00
11
10
01
10
10
00
00
10
10
01
11
00
10
00
11
11
00
11
10
01
01
10
01
00
00
10
00
00
10
00
01
11
01
01
11
11
00
10
10
01
01
11
11
11
00
00
10
11
10
01
00
00
10
01
00
01
10
10
00
11
00
01
11
11
10
00
00
00
00
00
01
10
11
10
00
10
00
01
11
01
00
11
11
11
01
00
10
10
00
00
10
11
00
11
11
10
10
00
01
00
01
11
11
11
00
10
10
10
11
11
01
01
00
10
01
10
10
10
00
00
00
10
10
00
00
10
10
10
00
00
11
10
10
10
10
00
10
10
01
00
00
10
10
00
10
10
00
00
00
10
00
11
11
11
00
01
11
01
00
10
10
01
00
11
01
11
10
01
01
00
01
11
01
00
01
10
10
01
00
10
11
00
11
01
10
10
10
01
01
10
10
01
10
00
01
01
01
00
11
11
00
10
10
10
10
00
00
00
01
11
11
10
11
10
11
00
01
00
10
00
00
01
10
10
01
00
00
01
10
00
10
11
01
10
10
11
00
00
00
10
10
00
00
00
01
11
10
01
00
01
00
10
11
10
00
00
01
11
10
10
01
10
10
10
00
00
11
10
00
10
00
11
10
10
00
01
10
00
00
10
01
00
10
10
10
10
11
00
01
10
00
11
10
00
11
00
00
01
11
01
10
10
00
10
01
10
10
01
01
00
10
00
00
10
01
00
11
00
00
10
00
11
10
10
00
00
10
00
11
11
00
11
11
00
00
00
10
00
11
11
00
00
10
10
10
00
00
10
11
10
10
10
00
00
10
10
01
11
00
01
01
10
11
00
11
11
00
01
10
00
00
10
10
10
00
00
00
10
10
10
00
11
01
11
00
10
10
00
00
00
01
10
10
11
01
11
11
10
00
01
00
01
01
10
11
10
01
01
10
11
11
11
01
10
00
10
01
10
00
11
00
01
11
00
10
00
01
11
11
01
01
11
10
00
00
10
10
11
01
01
00
00
11
00
10
10
00
00
01
01
10
10
10
00
11
10
00
01
11
10
10
01
01
00
11
11
00
00
00
11
10
01
00
10
10
10
00
01
10
00
00
10
10
11
10
00
00
10
00
00
10
10
01
01
00
00
00
00
00
10
10
11
10
10
01
11
00
10
10
00
01
10
00
10
11
00
00
01
10
00
00
10
01
10
10
11
10
01
00
00
00
10
00
00
10
11
00
00
11
10
10
10
10
11
11
10
00
10
00
10
10
00
10
10
00
01
10
00
00
10
11
10
01
00
10
00
00
00
10
11
00
10
10
00
11
10
10
01
00
10
00
01
00
00
01
00
11
00
00
11
01
00
11
10
10
01
00
00
01
11
01
10
10
00
00
00
10
10
00
00
00
00
00
11
10
00
10
00
11
10
00
00
00
11
11
00
00
10
10
00
11
10
10
10
00
10
00
00
11
11
10
10
11
00
00
10
00
10
00
11
10
10
10
11
10
00
10
00
00
00
11
11
11
10
11
00
01
01
01
10
00
11
00
00
11
00
00
10
00
11
00
00
01
00
11
00
10
11
10
00
11
11
10
11
10
00
00
00
00
00
00
10
10
00
00
10
10
01
10
01
01
10
01
01
10
10
10
10
10
11
01
00
10
11
01
11
00
01
00
01
10
11
00
01
01
10
11
00
00
10
00
00
00
00
10
10
00
00
00
10
01
11
11
10
10
10
01
01
11
10
00
01
10
10
01
00
10
01
00
10
00
11
11
00
10
10
00
01
11
00
10
10
00
00
10
10
10
11
00
01
11
01
01
11
00
11
00
00
10
10
00
01
10
11
10
00
00
11
00
01
11
10
10
00
11
01
10
11
10
10
00
00
10
10
00
01
00
10
10
00
00
10
00
00
10
10
11
10
00
10
11
11
00
11
00
00
00
00
11
10
00
01
01
00
11
11
00
11
10
00
10
11
01
00
00
10
10
00
00
00
00
10
11
11
01
11
01
11
01
00
10
10
00
00
11
00
00
10
11
00
10
10
01
00
10
00
01
00
00
11
00
00
10
00
10
10
00
00
00
10
01
00
00
00
01
10
00
00
01
00
00
01
10
01
00
00
01
10
11
01
10
11
10
01
01
01
10
10
00
01
10
10
00
01
00
00
00
01
10
00
00
10
10
10
00
11
01
01
00
00
11
10
10
01
00
11
00
10
10
00
11
00
00
11
00
10
00
11
00
10
00
11
00
10
10
00
01
10
11
10
11
10
00
00
10
10
01
01
11
00
00
10
11
00
10
00
00
00
01
11
11
10
00
11
11
11
01
00
10
01
00
10
00
01
00
10
11
10
10
10
00
01
00
11
00
00
00
11
10
10
10
01
00
00
00
11
10
00
11
00
00
10
10
11
11
10
00
00
10
00
00
00
00
11
01
10
10
00
10
10
10
01
01
00
01
00
00
00
10
00
00
10
11
00
10
10
00
00
01
00
10
00
01
00
01
10
11
00
11
10
10
00
00
11
11
10
00
10
01
00
01
01
10
11
00
10
00
00
10
10
00
00
00
01
00
00
00
11
01
10
10
00
00
10
11
10
10
11
00
10
11
11
00
00
00
00
01
10
11
11
10
00
10
01
10
10
01
10
00
00
00
10
01
00
11
10
00
10
10
11
00
10
10
00
00
00
01
11
10
00
10
10
11
01
00
11
11
11
10
10
11
01
00
11
10
00
01
11
10
01
11
10
11
10
00
10
00
01
00
10
10
00
11
11
10
10
10
01
00
01
00
00
00
10
00
00
11
10
00
10
10
00
10
10
00
10
10
00
10
10
11
10
00
00
01
11
10
01
00
10
00
10
10
10
11
00
10
10
00
10
00
10
00
11
11
00
11
11
00
00
00
00
10
01
11
01
00
11
00
10
10
00
00
11
10
01
00
01
10
01
10
00
00
10
00
01
00
10
11
00
00
00
00
11
00
00
10
01
10
01
10
00
00
10
10
10
10
11
00
10
11
00
11
00
11
00
00
10
00
11
11
00
00
00
10
00
00
00
01
10
00
00
10
10
01
11
00
01
01
10
11
01
01
01
11
10
11
01
11
01
01
11
10
00
01
11
10
10
01
00
10
11
00
00
00
10
10
11
10
00
10
11
01
01
00
10
10
01
10
10
00
00
10
01
10
10
10
01
00
00
00
00
00
10
10
10
10
00
11
11
00
00
10
00
00
00
11
10
11
01
11
00
01
10
00
10
10
10
11
11
00
10
10
00
01
00
00
01
00
10
10
10
10
10
11
01
01
10
10
00
10
11
00
11
00
00
11
00
00
10
10
00
00
00
11
00
01
10
00
00
00
11
10
00
00
10
10
10
11
11
00
00
01
00
10
00
10
01
00
01
10
10
11
01
10
11
00
01
10
10
10
01
01
00
10
01
11
10
10
11
01
10
10
10
10
00
00
11
10
10
00
10
10
10
01
10
01
00
00
00
10
10
11
10
00
01
01
10
00
00
11
00
10
10
01
00
11
10
00
11
11
00
10
00
10
11
00
00
11
00
10
00
00
11
10
00
00
11
10
00
10
00
00
10
00
11
10
10
00
00
11
01
11
10
00
10
11
10
11
01
00
10
10
10
10
00
01
01
10
10
00
01
01
10
10
11
01
00
10
00
00
10
11
01
11
11
01
00
11
10
01
10
10
01
00
00
10
10
00
00
11
00
10
10
00
00
00
10
11
10
00
00
10
01
11
00
11
00
01
11
11
11
00
11
10
10
00
00
11
00
00
10
00
00
01
10
10
10
10
00
01
00
10
10
01
01
10
00
11
11
10
10
00
00
01
00
10
01
00
11
01
10
10
10
00
01
10
10
01
00
11
00
01
00
10
10
11
11
00
10
00
11
10
10
01
00
00
10
11
10
00
00
10
01
10
10
01
00
11
10
00
11
10
00
00
00
11
10
11
10
10
11
11
10
10
11
10
00
00
10
00
00
10
00
01
11
11
00
11
00
10
01
01
00
11
00
00
10
01
10
11
10
00
00
00
00
10
10
00
01
10
00
10
01
11
00
00
11
01
00
00
01
10
10
10
01
00
10
01
01
01
00
10
10
00
11
11
01
10
10
10
10
10
00
01
00
00
10
10
10
00
01
11
11
00
01
10
00
11
10
00
01
00
10
11
01
01
10
10
00
00
11
00
01
11
10
00
10
00
00
01
11
11
00
01
10
00
10
11
00
10
00
01
10
00
10
10
00
01
01
10
00
00
11
00
11
00
11
10
11
10
10
01
00
10
00
11
10
01
10
01
00
10
10
00
10
10
10
10
10
10
00
11
00
01
10
00
10
10
00
00
10
10
00
00
10
10
00
10
10
00
01
00
01
10
10
11
10
10
01
01
11
00
00
11
10
01
11
10
00
11
00
00
10
10
00
10
10
00
01
10
10
00
11
00
00
00
10
11
11
00
01
10
00
10
10
00
00
01
10
01
01
00
00
00
01
11
10
00
10
00
00
10
00
00
10
11
11
01
01
10
10
00
00
00
00
11
11
10
01
01
11
00
01
10
00
10
11
01
11
11
01
10
00
10
00
10
10
11
01
10
10
10
00
11
01
00
10
10
10
00
11
11
01
01
10
10
10
00
01
00
11
10
11
00
00
01
10
00
00
11
10
11
10
00
01
00
00
10
01
10
00
11
10
10
10
00
00
00
10
00
10
01
01
00
01
00
00
10
00
00
10
10
01
00
11
01
10
00
00
10
10
00
01
10
10
00
10
01
10
00
11
10
01
00
11
10
00
00
11
11
01
00
10
11
00
01
10
01
01
11
10
10
10
01
11
11
11
00
00
00
11
10
01
00
10
00
01
11
10
00
10
00
01
10
10
10
00
01
00
00
00
10
10
00
00
10
11
01
00
10
01
00
11
10
00
00
11
10
00
10
00
10
11
01
01
10
11
00
10
01
01
10
11
11
01
00
10
11
01
00
11
00
00
10
00
11
00
01
10
01
01
11
01
00
00
01
00
10
10
10
01
10
11
11
00
01
00
10
11
01
00
00
00
10
00
10
10
01
10
00
10
11
11
10
10
00
10
11
01
00
00
01
11
10
01
10
10
01
00
00
10
10
00
00
10
10
00
01
00
10
10
10
00
00
11
01
10
10
00
00
01
11
01
10
10
01
01
10
00
00
10
10
10
00
10
00
01
10
00
00
10
10
00
10
01
10
10
10
10
01
01
11
00
01
11
00
10
00
11
11
01
11
00
10
11
00
01
11
11
10
00
00
00
10
00
00
10
10
10
10
01
10
11
01
01
01
11
01
10
11
00
00
00
10
00
00
10
10
10
00
10
11
10
11
01
00
00
10
00
10
00
00
10
10
00
00
00
00
10
00
10
01
00
01
00
10
01
10
11
00
10
10
11
00
00
10
10
10
01
10
10
00
10
00
01
01
10
10
01
10
01
11
00
00
00
00
10
00
10
10
01
00
00
10
01
00
10
01
11
00
10
11
01
00
10
10
10
00
01
00
10
00
00
10
01
10
01
10
11
10
11
00
10
01
00
01
11
11
01
10
00
10
10
10
00
00
11
10
11
00
00
11
00
10
00
11
11
10
11
10
11
00
10
01
11
10
10
00
10
10
10
10
00
00
00
10
00
10
11
00
11
11
01
10
00
10
01
11
11
00
11
11
00
00
11
00
00
00
10
11
00
01
00
10
00
00
00
00
10
10
01
10
00
00
00
00
10
10
10
00
01
01
11
10
11
10
00
00
11
11
01
10
11
10
10
11
01
00
10
10
10
00
11
00
00
00
01
10
10
11
10
00
00
10
10
11
01
01
11
01
00
10
01
10
10
10
00
01
00
00
11
10
00
00
10
10
00
00
10
00
11
00
10
11
11
10
00
00
10
00
00
10
01
01
10
00
10
10
01
00
11
10
00
10
00
11
00
10
10
10
00
01
01
00
01
01
00
01
00
00
00
11
11
11
10
00
00
10
00
10
10
00
11
00
01
11
10
00
00
10
01
10
11
10
01
00
00
11
00
00
10
01
00
00
10
10
00
10
00
11
10
10
11
00
10
11
11
01
10
00
00
10
00
01
01
10
00
11
10
01
11
10
00
11
00
00
10
10
11
00
00
11
00
10
00
00
01
10
00
10
01
10
00
01
11
00
00
10
01
01
10
10
01
00
10
00
01
00
10
00
00
01
00
10
01
10
11
00
11
10
10
01
10
10
00
00
10
10
11
00
00
01
00
01
10
01
11
10
00
01
01
11
11
10
00
00
10
11
00
01
10
10
10
01
10
01
00
10
11
00
10
00
10
10
00
00
11
01
00
10
11
10
00
10
11
10
00
01
00
10
00
10
00
01
10
10
00
01
00
00
00
10
10
00
00
00
10
11
01
01
11
00
01
10
00
11
11
00
00
11
00
11
10
01
00
11
00
11
10
10
10
00
01
00
11
10
11
11
00
11
00
00
11
01
01
10
10
01
00
01
11
10
00
01
10
10
00
10
01
00
10
10
10
01
10
10
10
00
00
01
11
01
00
10
00
00
11
00
11
00
10
10
10
00
10
01
01
11
10
10
00
01
10
00
10
11
10
10
01
00
10
01
00
10
01
10
00
00
10
00
11
10
11
10
01
01
00
01
01
10
10
01
10
10
10
11
00
00
00
10
11
10
10
00
00
00
10
00
01
10
10
00
11
10
01
10
11
10
01
11
00
01
11
00
00
11
10
10
01
01
11
00
11
00
11
10
00
10
11
00
00
00
11
11
00
00
00
00
00
00
10
10
11
10
00
11
10
00
01
10
01
11
00
10
10
10
10
11
01
00
01
11
01
00
10
10
00
00
10
00
10
11
01
11
01
01
00
10
10
10
00
00
10
01
11
10
01
10
01
00
10
00
00
00
10
11
00
10
00
10
01
10
00
10
11
10
01
10
10
10
10
11
10
01
00
11
00
10
10
00
11
10
00
00
11
10
11
00
10
10
11
00
01
00
11
01
10
10
00
01
10
10
00
00
00
10
00
00
01
10
10
10
10
00
11
00
00
10
01
01
10
10
11
11
00
01
10
11
01
01
01
10
10
00
11
10
00
01
11
11
11
10
10
00
00
00
10
10
01
00
10
10
00
01
10
00
11
11
11
00
00
00
10
00
01
10
11
11
01
11
01
00
01
01
11
00
11
01
00
00
00
11
10
11
10
01
10
10
11
10
10
01
10
00
10
10
11
10
11
10
10
11
11
01
00
00
10
00
11
10
10
01
00
00
11
00
10
01
10
11
01
00
01
10
01
11
11
00
00
00
10
01
00
11
10
01
00
10
00
00
10
10
10
00
11
11
10
10
01
10
10
10
10
10
11
00
11
01
00
00
00
01
11
10
10
01
10
10
11
10
10
10
01
00
01
10
00
01
10
00
10
11
00
11
01
00
00
10
01
00
11
11
01
10
10
01
00
10
00
00
10
00
00
11
11
01
00
11
10
10
01
00
00
11
00
10
10
00
00
10
10
00
00
11
11
11
01
00
11
10
00
00
10
11
10
00
01
00
00
11
11
10
00
11
10
01
10
10
00
10
10
10
00
00
10
10
10
00
01
10
10
00
10
11
11
11
00
11
10
10
11
10
10
01
11
00
10
01
11
10
00
00
00
10
10
11
00
00
11
10
10
00
10
11
11
11
01
00
10
00
01
11
10
01
00
10
10
11
11
00
10
00
01
01
01
10
10
11
10
10
11
10
00
00
00
01
10
00
10
00
01
01
10
00
11
11
01
00
10
10
00
11
10
10
01
01
10
00
01
10
10
00
01
10
01
01
00
11
11
11
00
10
10
10
00
00
10
11
10
00
00
11
00
10
10
10
00
00
10
10
10
11
11
00
00
01
10
01
10
10
10
10
10
10
11
01
00
11
10
01
00
11
10
01
10
10
11
00
01
11
10
00
00
10
10
10
10
11
00
01
00
11
10
00
01
10
10
00
00
10
10
10
01
00
11
00
01
00
10
10
00
00
00
10
10
00
00
10
11
11
10
00
00
10
10
00
00
00
10
10
01
10
11
11
10
01
00
10
00
00
10
10
10
00
01
00
11
00
00
00
11
11
00
10
10
00
10
00
01
01
00
00
10
10
01
00
11
00
10
00
10
10
11
00
00
00
11
01
10
11
00
00
00
00
10
11
01
00
00
01
10
00
00
10
10
10
00
11
11
01
00
00
00
10
00
00
10
10
10
00
10
11
10
11
00
10
00
00
10
10
00
10
10
00
01
10
11
00
11
00
00
01
00
01
11
11
01
00
11
10
01
11
10
01
00
11
11
00
00
00
10
00
00
10
10
11
01
00
00
00
00
10
01
11
11
10
00
00
10
00
01
10
10
00
10
11
01
11
00
01
01
10
00
00
10
01
00
10
11
00
00
10
11
00
11
11
01
10
10
10
10
10
00
00
10
11
00
11
11
10
11
01
01
01
00
10
10
00
00
10
10
00
10
00
00
00
10
10
01
00
01
11
00
00
00
01
11
10
00
00
00
00
00
10
11
10
10
01
10
11
00
01
00
11
11
10
00
01
11
11
00
01
00
10
10
11
00
00
11
10
10
10
11
00
00
10
10
00
00
10
10
00
01
00
01
10
00
01
10
00
11
01
00
00
10
10
10
00
00
10
00
00
11
10
00
10
10
01
00
00
10
10
00
00
00
10
11
01
00
11
11
10
00
11
11
10
00
11
00
00
10
11
11
01
01
01
00
00
00
00
10
11
00
11
01
01
10
10
10
10
10
00
10
11
11
00
00
11
00
11
10
01
11
10
10
01
00
10
11
00
10
11
00
00
10
10
00
01
10
10
10
10
00
10
10
00
10
00
01
00
10
00
10
00
11
11
11
10
00
11
10
10
10
01
01
10
10
00
10
01
01
10
00
00
11
11
00
01
00
01
10
10
00
10
10
00
00
11
01
10
11
11
00
01
11
00
01
00
10
00
00
11
11
11
10
00
01
10
00
10
10
01
11
00
11
00
01
00
10
10
00
00
00
01
11
10
00
00
01
01
00
10
10
10
10
11
00
10
00
00
00
11
00
10
00
01
11
01
01
00
00
10
10
00
01
10
10
10
00
00
01
10
10
10
01
11
10
00
00
00
00
11
00
00
10
10
10
10
10
00
11
10
11
10
10
10
10
10
10
10
00
00
10
00
01
00
10
10
01
11
10
00
10
00
11
10
01
01
11
00
10
10
01
10
10
01
00
10
00
00
10
01
00
01
01
01
00
00
00
10
00
10
10
01
00
10
00
00
11
00
00
10
10
00
11
00
00
10
01
01
10
11
10
10
01
00
10
01
00
11
00
11
11
01
00
11
10
01
00
10
00
00
11
10
00
01
10
11
11
00
10
11
10
10
11
00
00
01
10
11
00
00
00
00
00
10
10
00
11
11
10
01
00
10
11
10
10
00
01
11
10
01
10
00
11
00
00
11
11
00
10
00
00
00
11
10
10
01
00
10
00
10
00
00
10
00
10
00
01
10
11
01
11
11
01
10
11
11
01
00
10
00
00
00
10
11
01
10
00
11
01
10
01
01
10
11
00
01
10
00
01
11
01
00
01
11
11
00
10
11
00
01
10
10
00
10
01
00
10
10
00
00
10
00
01
01
00
00
10
11
10
00
01
11
10
11
11
01
11
10
01
01
10
11
10
00
00
11
00
10
00
00
10
11
11
00
00
10
01
00
10
00
00
10
10
11
10
10
01
00
00
01
10
11
10
00
00
10
10
11
01
01
00
10
10
00
00
10
10
00
10
00
00
10
10
11
00
00
00
00
01
10
01
10
10
00
11
10
00
10
00
10
10
00
01
01
11
01
00
10
00
10
11
01
10
01
10
00
10
00
01
10
10
10
00
00
10
00
11
10
10
10
11
00
00
10
11
10
10
00
00
00
00
11
00
00
11
10
00
10
10
00
00
01
11
01
10
01
00
11
00
00
11
11
00
01
10
10
00
01
10
01
10
10
00
00
00
11
10
01
10
00
10
00
00
10
00
01
11
01
10
10
00
01
00
01
10
10
11
01
01
00
00
00
10
00
01
11
10
00
10
00
10
11
11
01
10
11
11
01
00
00
11
10
00
10
10
00
00
10
00
00
10
00
00
10
00
10
10
11
00
00
00
00
10
10
00
10
11
01
10
00
00
00
10
01
11
10
01
01
10
01
00
10
10
11
00
00
00
10
00
11
11
10
01
11
10
00
10
01
10
00
00
11
11
10
00
00
00
00
00
10
10
01
00
10
00
00
11
10
11
01
01
10
00
01
10
00
10
11
00
10
00
01
10
10
10
10
00
00
00
10
00
10
01
11
00
10
00
01
00
10
10
00
11
01
00
11
00
10
00
00
01
00
00
10
11
01
01
10
00
01
00
11
10
01
00
10
10
00
10
10
10
00
01
00
10
00
01
10
10
11
10
10
01
11
01
00
00
01
00
01
10
10
00
00
10
10
10
00
00
11
00
00
00
11
00
10
00
00
10
00
11
00
11
00
11
00
01
10
11
10
00
11
01
01
01
11
10
11
11
10
10
10
00
01
00
10
00
10
11
11
10
01
01
10
10
11
01
10
10
01
10
10
01
10
00
10
00
00
00
10
00
00
10
10
00
00
00
11
11
11
11
00
10
10
11
00
01
10
11
11
00
00
10
11
10
11
00
00
00
11
00
11
10
00
11
10
01
00
10
10
00
00
10
10
00
11
10
11
11
01
11
11
00
00
00
00
11
00
10
11
01
10
00
00
11
00
01
11
00
10
10
10
01
00
11
11
00
00
11
10
10
00
00
01
10
10
10
00
11
10
11
01
00
10
10
10
10
01
00
01
10
01
00
01
00
11
11
00
00
11
01
01
00
10
01
10
10
11
00
00
00
11
10
01
10
00
00
10
10
00
00
11
01
11
00
00
10
11
00
10
01
01
10
00
11
10
11
10
01
10
10
11
10
01
00
01
10
11
00
01
00
10
00
00
10
01
11
10
00
10
10
10
01
01
10
11
00
11
01
11
10
10
00
00
10
11
00
01
11
00
10
10
11
01
10
11
01
00
10
00
00
11
10
00
11
10
10
01
00
10
00
00
11
00
01
10
01
00
11
00
01
10
10
01
00
01
01
10
10
00
01
11
00
00
10
00
10
00
00
00
10
10
11
00
01
11
10
11
10
10
00
01
10
01
00
10
00
11
10
00
00
10
00
00
00
00
10
11
00
10
10
10
10
00
00
10
00
00
10
10
10
01
00
00
00
00
00
10
10
00
10
01
10
00
10
01
00
00
10
10
01
00
11
00
01
10
10
01
10
10
01
10
10
01
01
11
00
10
00
00
00
10
11
00
01
10
11
01
10
11
11
00
00
10
10
01
00
10
10
11
01
11
10
11
10
10
01
01
00
10
10
10
00
10
10
00
01
00
00
00
10
10
01
00
11
00
11
01
11
10
00
01
10
10
11
10
00
10
01
10
00
00
01
01
01
01
00
01
01
01
00
11
10
01
00
10
10
01
00
00
00
10
10
01
00
10
01
11
11
10
10
01
11
10
11
00
00
00
10
10
10
01
01
10
10
11
11
10
11
00
00
01
00
10
10
10
01
00
00
00
10
11
11
00
01
10
00
10
01
01
10
10
00
10
00
00
10
00
10
11
10
00
10
10
10
00
01
00
00
00
10
01
00
00
10
11
10
10
11
11
10
11
00
00
01
10
11
00
00
01
11
10
10
10
01
00
10
11
01
10
10
10
01
00
10
00
10
11
10
10
10
00
10
00
00
10
00
00
10
10
00
00
10
10
10
00
00
10
01
00
10
11
10
01
00
00
10
10
01
00
00
10
01
01
00
00
10
11
11
10
01
11
00
10
10
00
10
00
01
11
10
00
10
10
11
00
10
10
10
00
00
10
01
00
01
00
11
11
10
10
10
01
10
10
00
00
10
10
01
10
10
00
00
10
11
00
00
10
10
10
11
10
00
00
01
00
01
01
11
11
10
01
10
11
11
10
01
11
11
11
11
00
00
00
10
00
01
10
10
01
01
10
00
11
10
01
10
01
00
10
10
00
00
11
10
00
10
10
10
11
10
01
10
10
00
01
00
10
11
00
00
10
01
10
00
00
10
11
10
00
00
11
10
10
10
00
10
01
00
10
11
00
10
00
01
11
10
01
00
11
11
10
00
00
01
11
11
00
11
10
10
11
00
00
11
00
00
10
10
01
10
00
01
10
10
11
01
11
00
11
10
01
00
01
01
10
10
10
10
00
10
10
10
00
00
00
00
00
10
00
00
01
11
10
00
10
10
00
10
10
00
01
11
01
00
01
10
10
00
11
11
01
10
10
01
10
00
10
01
01
10
00
00
00
11
00
01
10
11
01
11
00
10
10
01
11
10
00
00
10
11
01
10
00
10
10
10
11
11
10
01
01
01
10
10
11
01
01
10
10
00
00
00
00
10
00
10
10
11
00
00
10
10
11
10
11
10
00
00
00
00
00
00
10
10
01
01
00
10
00
00
11
10
01
11
10
01
10
00
00
11
00
00
10
01
10
10
00
10
10
01
00
10
00
00
00
10
00
00
01
00
00
10
01
11
10
11
01
01
00
01
11
00
00
11
10
00
01
10
00
10
00
00
01
00
10
10
00
11
11
00
10
10
00
00
00
01
11
10
10
11
10
00
00
11
00
00
00
01
10
10
00
00
10
00
00
11
00
10
01
00
10
01
11
10
01
00
11
00
00
00
10
00
00
11
00
00
10
00
10
00
00
10
10
01
10
10
00
00
00
00
10
10
11
10
00
01
11
10
00
01
00
00
01
10
10
11
10
10
00
00
10
10
01
01
00
11
00
11
01
00
11
10
01
10
11
00
10
01
00
01
10
11
00
00
00
11
01
00
00
10
11
10
00
11
10
10
10
01
10
11
00
00
11
10
10
00
10
10
00
10
00
01
00
00
01
10
00
01
10
00
10
10
10
00
10
10
00
10
00
00
01
10
10
00
10
11
10
00
01
00
11
10
10
00
00
10
11
00
00
01
10
10
10
00
01
00
01
10
11
01
00
10
00
10
10
00
10
01
11
11
00
00
11
00
00
00
11
10
00
00
10
10
10
10
10
11
00
01
00
00
10
10
10
11
01
00
10
11
11
01
01
11
11
00
00
00
01
11
10
00
00
10
11
00
00
11
01
00
00
10
10
10
11
00
01
10
11
01
00
00
11
00
11
10
01
00
01
11
01
00
10
11
11
00
01
00
10
01
00
10
10
10
00
01
00
11
11
01
10
00
10
00
10
10
00
00
01
00
01
10
01
11
11
10
00
01
00
11
01
11
10
00
11
10
10
00
10
10
11
10
00
00
10
10
00
11
00
11
10
01
10
01
10
10
10
01
00
00
00
10
10
00
10
10
10
00
10
01
00
00
00
11
10
11
11
10
00
00
11
10
11
00
10
11
10
10
00
10
10
00
01
00
11
00
11
10
11
00
00
00
11
00
10
10
10
00
01
10
10
01
10
11
00
00
10
00
10
10
01
00
10
00
01
01
10
10
01
11
10
00
01
00
00
11
00
00
01
11
10
00
10
10
00
10
10
00
11
10
00
00
10
00
10
10
10
00
10
00
10
11
10
10
00
10
10
01
10
01
00
10
10
00
10
01
00
10
11
10
11
10
10
10
10
01
00
10
10
00
00
10
00
00
10
00
10
00
10
11
00
10
00
10
00
01
11
01
10
10
01
10
00
00
10
10
01
00
01
10
10
10
00
00
11
00
01
10
11
01
10
00
11
10
01
11
10
01
00
01
00
01
10
11
00
10
01
01
11
01
00
11
00
01
01
10
01
10
00
00
00
10
00
00
10
11
11
11
00
01
00
11
10
10
00
10
11
00
00
10
00
11
11
00
11
10
10
10
10
00
00
10
10
00
11
01
10
10
10
00
00
00
10
01
00
00
10
10
00
01
01
10
00
01
00
11
10
01
10
10
11
10
11
01
00
10
01
10
10
10
01
00
01
01
01
10
00
11
10
01
00
10
11
01
00
10
11
00
10
01
00
10
11
00
11
00
10
10
10
00
00
10
11
10
10
00
10
00
00
10
01
01
01
10
10
00
01
00
00
00
10
10
00
00
01
11
01
00
10
00
00
10
10
10
00
11
11
00
00
10
00
01
10
10
10
00
10
10
10
00
10
10
01
00
01
11
00
10
01
00
10
00
10
10
00
00
01
00
01
00
11
00
10
00
10
10
00
10
11
10
11
01
11
10
10
01
10
00
00
10
11
10
00
11
11
01
11
11
01
11
00
01
11
11
01
00
11
10
00
00
01
11
00
10
00
11
11
01
11
10
00
11
10
00
00
11
00
11
11
01
00
10
11
11
01
01
11
10
10
01
10
01
00
00
10
11
10
10
00
00
00
01
10
10
00
00
00
00
01
10
00
11
10
11
11
10
10
10
10
10
10
00
10
11
10
10
00
00
00
00
01
00
11
11
00
10
10
00
01
00
10
00
10
10
10
10
00
00
10
00
10
00
01
11
00
00
10
00
10
10
10
00
11
11
01
10
11
10
00
10
00
00
11
10
00
01
10
01
00
11
10
10
01
00
10
10
00
10
10
00
11
10
01
01
00
10
01
00
00
01
10
10
10
10
01
00
11
10
00
10
01
00
10
10
10
11
10
01
11
10
01
10
00
00
11
10
00
10
10
00
00
01
10
10
00
00
10
11
00
00
11
11
00
10
01
01
01
01
00
00
11
11
11
00
00
10
11
00
00
10
10
11
11
10
00
00
00
00
10
00
00
11
11
10
10
10
00
10
00
00
00
01
01
10
00
00
11
10
10
01
00
10
00
10
00
01
11
10
11
10
11
01
01
00
10
00
11
10
00
00
00
00
10
10
00
10
10
01
00
00
00
11
10
01
00
11
11
00
00
10
00
01
10
11
00
10
10
01
00
01
00
11
00
01
10
10
10
11
00
11
11
10
00
01
11
10
01
01
01
10
10
01
00
00
10
10
10
01
00
11
01
00
00
00
00
11
10
00
11
01
00
11
01
00
10
10
10
11
10
01
00
11
00
10
11
00
10
10
10
01
10
00
10
10
00
01
10
10
10
11
01
00
01
01
11
00
11
10
00
01
10
11
01
01
10
10
11
00
00
11
00
00
10
10
10
11
00
11
10
10
00
10
10
11
11
01
00
01
01
00
11
00
01
11
00
01
10
01
00
01
11
01
10
10
00
00
11
10
10
00
10
00
11
10
01
10
10
10
11
11
00
01
11
11
01
01
10
10
11
00
00
11
10
10
00
00
01
10
11
01
10
10
00
00
10
11
01
10
01
00
00
00
10
01
10
00
00
00
10
00
11
10
00
00
00
11
11
00
11
10
10
10
00
01
00
00
10
10
10
00
10
10
11
00
01
10
11
00
11
00
00
10
10
10
00
00
11
11
00
01
10
11
10
00
10
10
10
11
11
00
00
11
10
00
01
11
01
00
01
11
01
00
10
11
00
01
10
11
11
10
00
00
00
10
10
01
11
00
00
01
00
01
10
10
10
00
10
10
10
01
00
10
10
00
00
00
00
10
00
00
00
00
00
10
11
11
00
01
01
10
00
01
10
00
10
11
01
00
00
10
10
10
11
10
10
00
00
11
00
01
11
10
11
10
10
00
00
11
01
00
00
10
00
10
11
00
10
00
10
10
00
01
10
01
11
11
01
11
11
01
10
10
01
00
10
10
00
11
00
10
01
10
00
11
10
10
11
00
10
00
00
10
10
10
11
01
01
10
01
01
11
10
11
11
10
01
00
00
10
00
10
10
00
01
00
00
01
10
01
10
10
01
01
00
11
10
01
11
11
00
10
00
00
01
01
00
01
00
10
10
10
10
10
01
00
00
10
10
11
00
01
00
00
00
01
11
10
10
00
00
00
00
00
00
00
10
10
00
00
10
10
00
10
10
10
11
01
00
00
00
10
10
10
10
01
10
11
00
11
00
11
00
01
10
10
00
10
01
11
01
01
11
11
00
11
11
00
01
10
10
00
01
10
00
00
00
01
11
01
00
00
00
01
10
10
10
00
11
11
11
00
10
11
00
00
10
00
01
10
01
00
01
00
10
11
10
00
10
11
10
10
00
10
10
10
00
01
10
00
00
01
00
11
00
00
10
00
11
01
10
10
00
10
11
10
01
00
01
10
01
10
10
11
01
11
10
01
00
11
11
00
01
11
11
11
10
01
10
10
01
00
10
10
00
00
01
00
00
00
01
10
00
11
00
00
10
10
10
11
01
11
10
10
01
00
01
00
00
10
11
01
00
00
11
10
11
01
10
10
01
00
01
10
10
10
10
00
01
10
11
11
00
10
00
11
01
00
10
10
11
01
01
00
11
10
00
10
10
00
10
01
00
10
00
10
00
00
00
01
11
10
10
10
00
00
11
10
01
00
11
11
11
10
01
10
10
11
00
01
10
11
10
11
00
01
00
11
10
00
11
00
10
10
01
00
10
10
11
01
00
00
01
10
00
00
01
00
10
00
11
01
10
10
01
00
10
11
10
00
00
10
01
00
00
10
00
00
01
10
01
00
10
11
10
00
10
10
00
00
11
10
11
00
01
01
10
00
00
10
00
11
10
00
10
00
10
10
00
01
11
11
00
01
10
10
00
10
10
01
00
01
01
00
11
00
01
11
10
00
01
01
11
10
00
10
00
01
11
00
00
00
10
11
10
01
10
10
00
00
01
00
10
10
10
11
10
00
10
10
10
00
10
00
10
01
10
00
10
10
10
00
10
11
10
11
01
00
01
10
00
00
01
00
11
10
10
01
00
01
10
10
00
10
11
10
11
00
11
00
00
10
11
01
00
10
10
00
01
10
10
01
10
10
01
10
00
00
00
10
00
01
11
00
01
10
10
10
00
00
00
00
10
10
10
00
10
11
10
00
01
10
10
00
11
10
10
11
00
10
10
10
10
00
11
10
11
01
11
10
11
00
00
00
11
10
00
10
10
00
00
10
00
00
00
10
01
10
00
10
01
00
01
00
00
10
00
10
10
10
01
10
00
11
10
10
00
00
10
00
10
10
01
00
10
01
00
11
10
00
00
11
00
10
11
01
00
11
10
00
01
11
10
00
00
11
10
00
11
11
11
00
00
10
11
10
00
00
00
10
10
10
00
00
11
01
10
10
10
11
00
11
01
01
00
01
10
00
00
10
11
00
00
10
10
00
01
10
10
01
00
10
10
00
01
10
10
00
01
00
11
11
10
10
10
01
00
01
10
10
01
00
01
11
00
00
00
01
11
11
00
10
11
11
00
00
00
10
01
00
11
01
01
11
10
00
00
11
01
00
10
11
10
00
11
10
01
00
00
00
00
10
10
11
00
01
00
00
10
00
00
10
00
01
11
00
10
11
10
11
11
00
00
10
11
00
10
01
10
10
10
01
00
10
00
00
10
00
01
10
11
11
00
01
00
11
00
10
01
10
10
11
10
11
10
00
11
01
10
01
00
10
11
01
01
10
10
00
11
11
01
01
10
10
10
11
01
01
11
11
00
01
10
10
00
00
11
11
01
01
01
00
10
01
00
11
10
00
00
01
00
00
00
11
10
00
10
11
11
00
10
01
00
10
10
10
10
01
10
10
01
01
00
00
00
10
00
10
10
00
00
11
00
00
10
01
10
10
11
01
00
10
11
10
00
10
10
00
01
10
10
10
00
10
00
10
01
00
00
00
00
00
00
01
11
00
01
10
11
10
10
11
10
00
01
11
10
00
11
10
00
11
00
10
10
11
00
01
10
10
11
00
01
10
10
01
00
10
10
01
10
11
00
01
10
10
11
00
00
11
00
10
10
10
00
10
10
00
00
00
10
11
01
00
10
10
01
01
00
10
01
00
10
11
00
10
10
00
01
00
00
01
11
00
01
10
00
01
00
10
10
01
10
01
11
01
10
11
00
01
01
10
11
00
11
10
11
01
00
00
10
00
01
00
10
00
11
10
10
10
00
01
00
01
10
10
10
10
00
01
10
00
00
11
10
00
10
10
00
00
11
10
00
10
01
10
00
00
10
10
00
00
11
00
00
11
01
00
11
11
10
00
10
10
11
01
00
00
00
00
00
10
11
00
10
00
01
10
11
00
01
10
01
00
11
11
10
00
10
00
01
10
11
01
00
10
01
10
01
11
10
11
00
11
10
10
00
10
10
00
10
11
00
01
00
01
10
00
00
10
10
01
10
10
10
10
10
11
01
00
00
10
11
00
10
00
10
00
00
00
10
00
01
00
00
00
00
10
00
10
11
00
11
10
10
00
10
00
11
01
00
10
10
10
11
00
01
01
10
01
00
10
01
10
00
10
10
11
10
01
10
10
00
11
11
00
10
10
00
00
01
00
10
11
00
10
00
10
01
11
10
00
10
00
10
00
00
10
11
10
11
00
00
10
11
10
11
10
00
00
10
00
01
10
11
01
00
00
01
10
11
11
01
00
11
00
10
11
00
01
00
00
10
10
00
10
01
00
10
00
01
00
10
00
00
10
11
10
00
01
11
01
00
10
10
00
00
00
00
10
00
11
10
10
00
11
11
00
10
10
10
01
10
00
10
11
11
10
00
01
00
00
01
10
01
01
00
11
11
00
00
11
11
00
01
10
11
00
00
11
00
01
11
00
00
11
00
10
10
01
10
00
11
00
11
10
10
00
00
00
10
10
00
00
10
10
11
01
10
01
01
00
11
01
10
00
01
10
10
00
00
00
01
01
10
00
10
01
00
11
00
00
11
00
10
10
00
00
11
11
10
00
10
10
00
00
00
00
11
00
01
00
10
01
00
00
11
01
11
10
01
00
01
10
00
10
11
01
11
01
10
11
01
00
11
10
00
00
00
11
00
00
10
01
10
01
10
10
10
11
10
01
00
10
11
01
10
00
00
11
10
01
01
10
11
00
01
10
10
01
00
10
10
00
00
01
00
10
11
10
01
11
00
11
10
00
11
00
00
00
00
11
10
10
11
10
01
00
00
00
01
10
11
00
00
11
00
01
10
11
00
10
10
01
10
00
10
10
00
10
00
01
00
00
11
11
11
01
00
01
11
00
10
11
00
01
10
11
10
00
01
11
01
00
10
11
11
11
10
00
10
10
00
01
00
10
00
00
10
10
01
00
00
00
11
01
00
11
10
00
00
10
10
10
00
00
00
11
11
01
10
00
01
10
01
00
00
10
11
01
11
10
00
01
10
01
00
11
11
11
00
01
11
10
11
01
01
10
11
00
00
00
11
11
01
10
10
00
10
00
10
00
00
10
01
00
11
00
10
10
10
10
00
10
10
00
00
10
00
00
10
00
10
11
00
00
10
00
11
10
10
00
00
00
10
00
10
11
00
11
10
10
10
11
11
01
01
01
01
00
11
00
00
10
11
11
10
01
10
10
00
11
10
00
10
10
10
10
11
00
11
10
00
00
10
00
01
10
10
10
00
01
10
11
00
00
10
10
11
00
10
11
00
10
00
10
10
00
00
00
10
00
11
11
00
11
10
01
10
00
11
00
01
11
11
01
11
01
00
00
11
00
00
11
10
11
01
00
01
01
01
10
10
00
10
11
00
00
11
00
00
01
10
11
00
01
10
00
10
10
10
00
01
10
10
11
00
10
01
11
10
10
01
00
10
00
10
00
10
11
00
11
01
00
00
01
00
00
00
00
10
00
10
10
01
00
10
00
00
00
10
10
00
00
10
10
11
00
01
10
11
00
11
00
10
11
00
00
10
00
00
01
10
00
01
10
10
00
11
10
10
00
00
00
11
01
00
10
01
00
11
10
00
10
10
10
00
10
11
00
01
11
11
01
00
10
00
00
10
10
01
01
11
00
00
10
10
00
00
10
00
00
10
01
10
11
10
00
00
10
11
01
00
10
10
11
00
11
01
01
01
10
10
11
00
00
10
10
00
00
01
10
00
11
11
01
10
00
01
11
01
01
11
11
00
11
00
01
11
10
00
10
00
00
01
10
01
00
10
10
00
10
00
11
10
00
10
11
11
00
01
00
01
01
01
00
01
10
10
01
10
00
00
10
10
00
00
10
00
00
10
00
00
00
11
10
11
00
00
00
11
11
01
10
10
00
00
10
11
10
00
10
10
00
11
00
00
00
10
00
00
10
00
10
10
10
01
10
11
01
01
10
00
01
11
00
10
00
11
10
11
10
01
01
10
10
00
00
10
00
01
00
01
00
10
10
00
11
10
11
00
01
10
10
10
00
00
10
10
00
10
10
10
11
11
01
11
10
10
00
00
11
10
00
00
11
10
01
00
10
10
10
00
00
00
10
10
00
01
10
11
00
11
00
00
11
01
00
00
00
11
10
11
10
00
01
11
01
11
01
00
10
11
01
10
10
01
01
10
11
10
11
10
00
10
00
11
11
00
10
01
01
11
10
00
11
10
01
10
11
00
10
11
10
10
00
00
11
00
00
10
01
11
00
00
10
11
10
10
00
00
00
00
10
10
01
00
10
10
10
10
00
01
00
00
00
01
00
00
10
00
11
10
00
00
00
10
10
10
11
11
00
00
00
10
10
10
00
00
10
01
01
10
10
00
01
00
00
10
10
01
01
11
11
10
00
01
00
00
10
11
00
11
10
00
00
01
00
10
00
00
11
01
11
00
11
10
00
11
10
10
00
10
00
00
10
11
01
11
10
00
10
11
10
01
01
10
10
00
00
01
10
10
00
01
10
10
10
00
10
11
11
10
00
10
00
10
01
11
10
00
00
00
10
11
00
01
11
10
00
00
00
10
11
01
01
00
11
10
11
11
01
00
10
00
11
00
00
10
10
01
00
11
11
10
10
00
10
00
00
10
00
01
10
11
11
10
00
10
10
00
00
10
00
11
00
10
10
00
10
01
01
10
10
00
01
10
11
10
01
10
01
01
10
00
01
01
11
00
00
01
10
00
10
11
00
10
11
10
11
10
00
00
10
10
01
10
10
10
00
01
10
01
10
11
00
00
10
01
11
11
01
10
11
00
00
10
10
01
01
00
00
10
11
11
00
11
00
00
11
10
10
00
11
00
11
00
00
00
01
00
11
11
01
00
01
10
11
00
00
10
10
10
10
01
00
00
11
11
10
11
00
00
00
10
10
00
01
10
00
01
00
10
00
10
10
00
00
10
00
01
01
11
00
00
01
10
01
00
10
11
00
00
10
01
00
01
00
10
10
01
00
10
11
00
10
00
00
00
10
00
10
11
01
10
01
00
00
11
00
00
10
01
00
00
11
00
01
11
11
11
10
10
01
11
11
00
00
11
00
10
00
11
10
10
10
10
00
01
00
01
11
01
10
10
00
01
10
11
00
00
10
11
10
10
11
00
00
10
10
11
01
11
10
00
01
10
00
10
10
00
00
00
10
11
00
01
10
00
00
00
11
11
11
00
01
10
01
11
00
00
00
10
10
10
01
00
00
00
10
10
10
01
10
10
10
11
00
10
11
01
01
10
11
10
10
00
01
00
00
00
10
00
10
00
00
01
00
01
11
00
01
00
10
10
00
00
10
10
00
11
10
00
01
10
11
00
00
11
10
01
00
10
10
11
11
10
11
01
00
10
01
11
00
11
10
01
10
10
10
00
00
10
00
10
01
00
10
11
10
10
00
00
00
11
00
00
00
01
11
00
10
00
10
10
00
10
11
00
11
10
01
00
01
10
11
00
00
01
01
11
10
10
01
10
01
00
10
10
01
10
00
00
10
11
00
10
10
01
00
00
00
10
11
11
11
01
10
11
00
10
00
00
11
00
10
10
00
10
00
00
00
00
10
10
11
00
10
00
01
00
01
10
11
10
10
11
11
00
10
01
10
10
00
10
00
10
10
01
10
11
00
00
00
01
10
00
00
10
10
11
00
10
00
10
10
00
00
10
00
10
10
10
10
11
00
00
00
10
01
00
00
00
01
10
10
11
00
00
10
11
00
10
10
11
10
01
10
11
00
10
00
00
00
11
10
01
00
00
10
10
00
11
10
00
10
10
00
10
01
00
00
11
10
00
11
11
11
01
00
11
10
10
00
00
10
01
10
11
10
00
00
11
10
01
00
01
01
10
00
00
01
11
10
10
10
00
10
01
01
11
00
10
10
10
01
00
11
11
10
00
11
01
01
00
10
10
00
01
01
00
10
10
10
11
10
00
10
10
10
00
10
11
11
01
10
11
01
00
10
01
11
10
01
01
10
11
00
01
10
10
01
00
10
10
01
10
10
10
01
00
10
10
00
10
11
10
11
10
11
10
01
10
10
10
00
11
10
00
01
11
10
11
01
01
10
11
00
10
01
00
10
11
11
10
01
11
10
00
01
00
11
10
00
11
01
00
00
10
10
11
00
01
10
10
01
01
10
11
00
00
10
10
00
00
11
10
10
01
00
11
00
01
00
01
10
00
00
10
01
10
00
00
10
00
01
00
00
00
01
00
10
11
01
10
10
00
00
10
00
00
11
00
00
00
10
01
00
10
11
00
10
10
00
01
00
10
00
10
01
01
01
10
01
00
11
01
10
10
00
00
10
11
01
01
10
10
11
01
00
00
11
00
10
00
00
10
10
00
00
00
00
01
10
00
10
10
01
00
11
00
00
10
10
00
00
10
10
00
00
00
10
00
10
00
10
00
10
10
01
10
01
00
11
01
00
01
10
00
00
01
10
10
00
00
10
10
11
10
00
11
10
00
11
00
10
00
01
10
00
10
10
00
00
00
00
11
10
10
11
10
10
01
01
01
10
11
00
00
11
10
11
00
00
10
00
00
10
00
00
01
00
11
00
11
00
10
10
10
10
10
10
00
00
01
11
10
00
00
10
10
00
01
10
10
00
01
00
10
10
00
00
10
00
01
00
10
10
11
10
00
10
00
11
00
11
01
11
11
00
00
01
00
11
11
01
10
00
10
10
10
10
01
00
10
11
10
10
11
00
00
11
10
01
01
00
00
11
00
10
10
10
10
00
00
00
10
00
11
00
00
00
01
11
00
00
00
00
10
01
00
10
10
00
00
00
10
00
00
11
10
01
11
10
01
00
00
10
10
10
01
00
10
11
10
00
01
00
00
10
10
10
11
00
01
01
00
11
11
00
11
01
10
10
11
01
01
00
11
11
00
00
10
01
01
10
10
00
00
11
00
00
11
10
00
11
00
01
11
10
01
11
00
11
10
01
01
10
10
01
10
10
00
00
00
11
11
01
10
10
10
10
11
01
00
11
10
00
00
01
00
10
00
10
11
11
10
00
11
10
10
10
11
11
10
01
10
00
00
10
10
10
10
01
10
10
10
00
10
10
00
01
10
10
00
10
00
10
11
00
00
10
11
11
01
00
11
10
01
01
10
11
10
00
10
00
00
00
10
00
01
10
11
11
00
00
10
00
00
00
10
10
00
10
00
00
01
10
10
00
00
11
00
01
10
01
00
10
00
00
01
11
10
01
10
01
01
01
01
10
11
11
10
00
00
10
10
01
01
10
01
01
01
10
01
01
00
10
10
10
01
00
11
10
10
11
00
10
00
00
10
10
00
00
10
10
00
00
10
10
11
00
00
01
01
10
10
00
01
10
10
00
10
11
10
00
00
10
10
10
10
10
10
00
10
10
00
11
11
10
01
00
01
01
00
00
11
01
11
01
00
11
11
11
00
00
10
10
11
00
00
11
10
01
00
11
11
00
11
10
11
00
00
01
00
10
10
00
11
10
11
11
00
00
00
10
10
01
01
10
10
01
00
00
10
11
10
00
10
00
00
11
11
10
01
10
10
10
00
01
11
00
01
10
00
11
01
10
10
10
00
10
10
11
00
01
10
10
00
00
10
01
00
11
00
00
00
01
10
11
10
10
00
00
10
00
00
00
10
01
10
00
00
10
01
10
01
10
01
10
10
10
11
01
00
01
10
01
00
01
10
11
10
10
00
01
00
10
01
01
11
11
10
00
01
01
10
10
00
01
10
11
11
00
10
11
00
10
00
01
10
11
00
10
10
00
00
10
11
00
00
10
11
10
11
10
00
10
01
01
01
10
11
10
10
00
01
10
10
00
10
01
10
10
11
10
00
10
00
00
00
11
10
10
00
11
10
00
00
11
10
10
11
00
00
00
00
00
10
11
11
10
00
10
10
11
01
10
10
01
10
11
10
00
01
00
00
11
00
10
01
00
11
01
00
00
10
10
00
01
11
10
10
00
11
00
10
10
00
00
01
00
11
00
01
00
00
10
01
01
10
11
00
00
11
00
10
10
10
00
11
00
00
01
10
00
01
00
10
00
11
10
00
00
11
10
10
11
00
10
11
10
00
11
10
10
10
00
00
01
01
00
00
10
01
00
10
10
10
00
01
00
00
10
01
00
00
10
10
10
11
00
01
10
11
10
11
00
10
10
01
01
10
11
00
00
10
11
10
00
00
10
00
00
10
10
10
10
10
00
10
00
10
11
00
00
10
00
00
10
10
01
00
01
00
10
10
11
10
11
11
00
11
10
10
10
10
11
11
11
00
10
00
11
10
01
00
10
00
10
01
00
01
10
11
11
00
01
10
00
10
01
01
11
01
01
01
10
01
01
10
10
01
00
11
11
00
00
00
10
11
00
00
10
00
11
11
10
10
00
01
00
10
10
00
00
10
00
01
00
11
10
00
01
10
11
00
10
10
01
00
11
00
01
01
01
10
01
11
10
11
10
10
00
00
00
10
00
00
10
10
00
10
10
00
11
00
11
10
10
00
00
11
11
01
00
00
01
00
10
00
11
01
11
00
11
00
00
00
01
00
10
10
01
01
11
11
10
10
00
00
01
00
10
10
01
10
11
00
01
01
10
11
11
10
00
01
01
10
10
00
00
10
11
10
01
10
00
11
10
10
10
01
10
10
01
01
00
10
00
11
10
01
10
11
10
01
01
00
00
11
00
00
01
10
10
00
00
01
11
01
01
00
11
10
01
00
10
11
00
01
10
10
00
01
10
00
10
11
01
10
10
10
01
00
10
00
00
00
00
10
10
10
00
10
10
10
10
11
01
00
10
00
10
00
01
00
10
11
01
00
10
10
01
00
11
10
01
10
11
00
00
10
00
10
10
10
10
11
01
11
00
10
00
11
00
10
10
01
00
00
10
00
01
00
10
10
01
01
11
10
01
10
00
01
10
00
10
00
01
01
00
11
11
00
00
10
01
10
10
01
10
01
00
10
10
01
01
10
00
00
10
10
10
10
00
00
01
11
10
11
00
11
01
00
10
00
01
00
00
10
00
00
01
10
11
00
10
01
00
00
01
00
10
10
01
01
10
10
01
10
10
10
01
10
11
10
00
11
10
00
10
10
00
01
10
00
00
10
01
00
10
00
01
11
00
01
11
10
01
10
00
11
00
00
00
00
10
10
00
10
10
01
11
10
01
00
11
00
10
01
10
01
00
10
11
01
00
01
00
11
11
11
01
11
11
00
00
10
00
01
11
10
00
01
10
11
01
01
10
11
00
10
11
10
00
10
00
01
10
01
10
10
00
00
01
10
00
00
11
11
00
00
11
10
01
10
00
11
11
01
00
10
10
11
01
10
11
10
01
00
01
10
10
10
00
00
11
10
00
10
01
01
01
00
11
00
00
00
10
01
00
11
11
10
00
10
01
10
00
00
10
10
00
00
11
00
00
10
01
00
01
00
00
10
10
10
00
00
10
00
00
11
00
00
00
01
10
00
00
00
10
10
11
10
11
10
00
00
00
00
01
00
11
00
00
00
10
00
10
10
00
00
10
10
10
10
11
11
00
10
00
10
10
00
01
10
10
10
00
00
00
11
10
11
11
00
10
10
00
00
10
01
10
01
01
00
10
10
01
00
11
00
10
00
10
11
00
11
10
01
00
10
10
10
10
10
00
00
11
10
10
01
00
10
10
00
10
00
01
11
10
00
01
11
00
01
00
11
10
10
01
00
10
10
10
00
01
00
10
10
10
01
01
00
00
01
10
10
01
00
11
10
00
11
10
00
10
00
10
10
10
00
01
00
10
10
01
10
11
00
00
00
10
10
10
10
00
00
10
10
10
00
01
00
01
01
10
00
11
10
00
00
10
10
10
11
00
00
00
10
00
10
00
00
11
10
01
10
00
01
00
11
00
10
10
10
10
00
00
10
00
11
00
10
10
01
00
11
10
00
11
10
00
00
10
11
01
01
11
00
00
10
10
00
10
10
00
11
01
10
00
10
00
11
11
01
11
00
00
00
11
00
00
11
00
00
10
10
00
00
10
00
10
01
01
00
11
00
10
00
01
10
11
10
00
11
01
10
01
00
10
01
01
10
01
10
10
10
00
00
00
10
01
01
11
10
00
10
00
11
10
01
01
00
10
01
00
00
10
10
00
00
11
10
11
10
10
01
00
11
01
01
10
10
00
00
01
00
10
10
10
10
01
00
10
00
01
00
00
10
01
00
11
10
00
00
01
01
10
10
10
11
00
10
01
00
01
10
11
00
11
11
11
10
00
00
10
10
00
00
10
10
00
10
10
00
00
00
00
10
01
11
11
10
00
00
01
10
10
00
11
00
10
00
10
00
10
10
00
01
01
01
11
00
10
00
10
11
10
00
01
10
00
00
01
00
00
00
10
10
11
00
01
01
11
10
01
00
10
00
00
11
11
10
00
01
11
01
10
01
10
11
00
00
00
11
10
01
00
11
10
00
00
00
10
10
10
00
00
01
10
11
10
00
11
00
00
01
00
10
10
00
00
10
00
11
10
00
11
10
11
11
00
00
10
10
01
00
01
10
00
00
10
10
00
00
10
01
00
01
00
10
00
00
00
01
01
11
10
00
01
10
01
10
10
00
00
10
01
01
11
01
11
00
01
11
11
10
00
10
11
00
01
01
00
11
10
11
10
10
00
11
10
00
11
10
00
11
00
10
10
01
11
00
00
10
01
01
00
01
11
00
00
01
00
10
10
01
00
10
01
01
01
10
00
11
10
00
10
00
10
11
00
00
11
00
11
10
11
01
11
00
11
10
10
00
00
10
00
00
11
10
11
00
00
11
11
00
10
10
00
01
10
01
01
10
01
10
01
10
10
00
10
10
10
00
00
01
11
00
10
10
11
01
10
00
01
10
11
10
00
00
10
10
00
11
10
01
10
11
00
01
10
10
10
11
00
00
00
10
00
00
00
00
00
00
11
10
01
00
00
00
01
00
11
00
00
10
11
10
00
00
10
11
10
10
11
10
10
10
10
11
10
00
10
10
00
10
10
01
11
00
00
10
00
00
00
10
11
01
11
11
10
11
10
10
11
00
11
10
10
00
10
01
01
00
10
10
11
00
10
10
11
11
00
01
10
00
10
01
00
01
00
10
11
00
11
01
10
00
10
00
10
11
00
11
00
11
01
10
11
00
01
10
00
01
00
01
11
01
10
11
00
11
10
01
01
10
10
00
00
10
01
01
01
10
10
00
00
00
00
10
01
01
10
00
01
11
10
10
10
10
00
00
01
00
10
10
01
00
10
10
00
00
11
01
11
01
10
00
11
10
00
11
11
00
00
00
11
00
11
10
00
11
11
01
00
10
00
10
10
00
00
10
00
10
11
00
00
00
10
00
10
01
00
00
10
01
01
10
11
11
11
10
10
00
01
10
10
00
01
11
00
00
10
10
10
10
00
11
10
00
00
01
00
10
01
00
11
10
10
11
11
10
10
01
00
01
10
01
10
11
01
00
01
00
00
11
00
11
01
10
10
00
10
10
10
00
01
11
00
00
00
10
00
01
11
10
00
00
10
10
00
00
11
00
10
11
10
10
00
11
10
01
11
11
00
01
00
00
10
10
00
01
00
10
00
00
00
00
01
10
11
00
01
00
00
11
00
10
00
00
11
10
11
10
10
10
10
11
01
00
01
00
11
11
00
00
00
11
00
10
11
11
00
10
11
01
00
10
10
01
00
11
10
00
11
10
11
10
00
01
00
10
11
00
00
00
10
00
01
01
00
10
11
10
00
10
10
00
00
00
10
10
11
10
11
00
01
10
01
00
10
10
10
10
00
00
10
01
10
00
00
10
01
10
11
00
10
01
10
10
10
10
00
00
10
10
11
10
10
10
11
10
00
01
00
00
00
10
10
11
00
00
00
00
10
01
00
10
01
01
10
10
00
00
00
10
00
01
01
10
10
10
10
00
01
00
10
00
00
00
11
10
01
01
10
11
01
10
11
10
00
00
10
11
00
00
01
10
10
10
01
01
11
11
10
11
10
00
10
11
01
01
00
10
11
11
11
00
01
10
10
10
01
10
11
00
01
11
10
10
10
00
00
00
00
11
10
00
10
00
11
00
10
00
10
10
10
01
10
11
01
00
00
00
00
10
01
10
01
00
10
01
10
01
00
00
10
00
00
10
00
10
10
00
10
10
01
10
00
00
10
10
01
00
10
01
00
00
10
00
01
00
00
11
10
10
00
00
00
00
10
11
10
10
10
10
11
01
01
10
10
11
10
11
00
01
11
11
10
11
01
00
10
10
00
01
00
10
11
01
01
10
10
11
10
00
10
11
11
11
10
11
00
10
00
01
10
01
00
11
10
01
11
00
01
11
10
01
00
11
00
01
10
10
10
10
00
10
10
00
10
00
00
11
10
10
11
10
10
01
10
00
11
10
00
11
00
01
00
10
01
10
00
00
01
11
11
10
10
00
01
10
01
10
01
10
10
11
11
10
00
01
01
10
01
00
11
10
00
10
00
00
10
10
01
00
00
11
11
00
00
00
00
10
11
00
00
01
00
00
10
10
11
01
11
11
01
10
11
10
10
00
01
11
10
00
00
00
10
00
10
00
00
10
01
00
10
10
10
00
01
10
10
11
01
10
10
00
00
10
10
11
10
01
00
10
11
01
00
11
11
10
11
00
00
00
11
11
11
01
11
00
10
10
01
01
10
11
00
00
00
11
00
10
00
01
10
11
01
01
10
00
00
10
10
00
10
10
10
11
10
00
00
01
10
00
01
01
00
00
00
11
01
11
00
11
01
10
10
00
11
10
10
00
01
11
10
00
00
00
11
10
00
00
00
10
10
11
10
10
10
10
00
00
00
00
10
10
10
00
10
01
00
10
11
00
00
10
00
10
01
00
00
10
00
10
10
11
00
10
10
10
01
10
11
00
11
11
10
10
01
10
10
00
00
00
10
11
10
11
10
00
00
10
00
00
00
10
01
00
10
00
11
01
10
10
00
10
11
10
11
01
01
00
10
11
10
00
01
00
11
10
11
10
00
10
01
01
01
10
11
01
00
00
11
10
01
01
00
10
11
00
00
01
10
11
00
10
01
10
10
01
00
10
01
10
10
10
10
00
11
10
00
10
00
00
01
10
01
01
10
00
11
01
00
00
10
10
00
00
01
11
01
10
01
11
00
00
00
00
10
10
00
10
10
00
11
10
00
01
00
00
11
11
01
10
11
00
00
00
00
10
01
00
10
10
11
11
00
01
10
01
10
10
10
10
11
00
01
10
11
01
00
11
00
01
01
10
00
00
00
10
00
00
10
00
10
00
10
10
00
10
01
10
10
10
11
00
11
00
00
11
00
00
10
10
00
10
01
10
00
01
00
00
01
01
01
00
10
10
01
10
10
00
00
01
10
11
00
10
10
11
11
10
01
01
00
01
01
10
11
00
01
00
01
11
10
00
10
10
01
01
11
01
11
10
00
01
00
01
10
10
01
10
00
10
10
10
10
10
10
10
00
01
00
10
00
01
00
00
10
00
00
00
00
10
11
10
10
01
11
10
11
00
10
11
11
00
00
01
01
10
00
11
10
10
01
10
01
01
10
10
00
00
00
01
10
10
00
01
10
11
00
11
00
10
00
00
10
10
01
11
00
10
10
01
01
11
10
01
01
10
10
10
10
01
00
11
10
00
00
11
01
10
10
01
00
01
00
11
10
01
01
11
11
10
00
01
00
00
00
10
10
00
00
10
10
10
00
11
10
01
10
11
11
01
11
00
01
10
00
10
11
00
00
01
11
10
00
00
00
11
10
11
10
10
11
10
10
00
10
11
11
00
00
10
00
10
11
00
10
10
00
10
01
00
00
10
11
10
00
00
00
00
10
00
11
01
11
01
00
10
10
00
11
00
01
10
00
01
10
10
00
00
10
01
00
10
11
00
01
00
01
10
10
10
00
00
00
11
10
01
10
11
10
10
00
00
00
11
10
01
00
01
10
01
10
00
01
10
00
01
10
10
11
10
00
01
10
01
11
11
10
10
01
01
00
10
00
00
10
11
10
11
00
10
00
00
10
00
00
11
01
01
11
01
11
00
10
00
01
10
10
00
01
01
10
10
10
01
10
00
00
10
00
00
00
10
10
00
00
00
01
10
10
01
00
11
00
00
00
10
00
00
11
00
10
10
00
11
11
00
01
00
10
10
10
01
11
10
01
00
11
00
10
10
10
10
01
00
00
10
01
11
01
10
00
00
10
01
01
10
10
10
00
01
00
00
10
11
00
11
01
10
00
01
10
01
01
11
10
01
01
10
00
01
00
11
00
01
11
01
10
10
11
01
10
00
00
10
10
01
00
11
00
11
00
00
10
11
00
01
00
11
10
11
01
10
11
00
11
11
10
00
01
10
00
00
10
11
01
00
00
10
10
10
11
10
00
01
01
10
10
01
11
10
00
00
00
11
00
00
10
10
00
10
10
00
01
10
10
11
00
00
00
11
00
11
10
11
00
00
10
11
00
00
01
10
11
00
01
11
10
01
10
11
00
00
10
00
01
11
00
10
00
00
00
00
11
11
00
10
10
00
10
01
10
00
00
00
11
00
00
10
11
00
00
10
10
00
11
10
00
11
00
00
00
10
10
00
10
10
01
00
10
01
10
10
00
01
01
10
10
00
11
00
11
11
00
10
11
01
00
10
10
11
00
01
10
00
11
11
01
00
11
10
00
00
11
10
00
01
10
01
10
00
00
01
00
00
00
10
00
10
10
00
00
10
11
00
00
01
00
00
10
10
10
11
01
01
00
10
11
01
00
01
00
10
00
00
10
11
00
00
10
10
10
01
10
00
11
10
10
00
00
00
01
10
10
10
00
10
00
10
10
10
10
10
00
11
00
10
01
00
10
01
10
10
01
01
01
01
11
10
00
00
11
00
00
10
10
00
10
10
10
00
00
01
00
10
00
00
00
01
00
10
10
01
11
10
10
01
01
10
00
11
01
00
10
10
00
10
00
10
10
00
10
00
00
00
00
01
11
00
10
10
00
10
10
00
01
01
11
10
11
01
10
11
01
00
11
10
00
11
00
10
00
00
10
00
01
01
11
11
10
11
00
10
01
01
00
10
00
10
11
01
11
00
10
10
00
10
10
11
11
10
10
10
01
01
10
01
00
11
10
11
01
10
00
01
10
01
01
10
10
10
11
10
01
00
01
10
10
10
11
00
00
10
11
00
01
10
10
10
10
10
01
00
10
10
00
00
11
10
10
00
00
01
11
01
00
11
10
10
00
01
10
10
10
00
00
11
00
00
10
10
00
00
10
00
10
11
10
00
11
10
00
10
10
00
00
00
10
00
10
00
01
10
01
00
01
11
00
11
10
00
00
00
01
00
11
10
01
00
00
11
10
10
01
00
10
01
11
11
10
10
11
00
11
10
10
00
10
01
00
10
01
00
10
10
00
11
10
11
10
00
10
00
11
11
10
01
11
00
10
10
10
01
11
11
11
00
00
01
10
00
11
00
00
00
10
11
01
00
01
00
00
00
11
10
10
00
01
01
10
01
10
11
10
10
01
00
00
11
10
10
10
10
11
00
00
00
00
11
11
10
10
11
01
00
10
10
00
10
10
10
00
00
10
10
10
00
10
01
10
11
10
01
01
00
00
10
00
00
00
11
10
10
11
00
00
11
11
00
10
10
00
11
10
00
01
10
11
00
00
01
10
10
10
01
01
10
00
10
10
00
10
10
10
00
11
10
01
10
00
00
01
00
01
10
10
10
00
10
00
10
10
00
10
01
01
01
11
10
11
01
00
10
10
00
01
11
10
00
10
01
00
10
11
00
10
01
10
11
10
00
00
01
10
00
01
10
01
10
01
10
01
00
11
00
00
00
10
10
00
01
10
00
10
00
00
11
01
10
00
00
10
10
00
00
00
01
01
11
10
00
00
00
11
10
00
01
00
00
10
11
01
10
00
11
01
11
10
10
10
01
00
01
00
10
00
11
10
01
10
11
10
00
10
00
00
10
11
00
00
00
00
01
00
00
10
01
01
01
01
11
01
10
00
00
11
01
01
10
10
10
00
01
11
11
01
00
00
01
00
10
11
01
01
10
10
10
00
00
11
01
10
00
10
00
00
10
00
11
10
10
01
00
01
11
00
00
10
10
00
10
10
00
00
10
01
11
01
11
01
10
00
01
00
11
01
00
10
10
10
10
10
00
11
00
00
00
01
10
10
10
00
11
00
00
10
00
11
01
00
11
00
10
10
10
00
00
10
11
10
10
00
10
01
11
10
00
00
10
00
00
00
00
10
00
11
01
11
00
11
10
01
10
10
10
00
01
11
10
00
10
11
01
10
00
10
00
11
00
10
10
10
10
00
01
01
10
10
00
00
00
10
10
11
01
10
00
00
00
11
10
00
10
10
11
11
01
11
10
01
00
10
00
00
10
00
11
11
00
10
00
00
10
10
10
00
00
00
00
10
10
10
00
00
00
01
10
00
00
10
10
01
11
00
01
00
00
00
10
00
10
10
01
10
10
10
01
11
00
11
01
11
00
00
11
01
00
10
10
10
01
10
01
10
10
00
10
11
01
10
11
11
00
00
10
10
00
00
00
00
11
00
00
11
00
00
00
11
00
11
00
01
10
00
00
11
00
10
00
11
00
10
10
00
10
00
00
10
00
11
10
11
00
00
11
10
10
10
10
00
10
10
01
01
00
00
10
00
01
00
10
11
00
11
10
01
10
01
01
10
10
01
00
11
10
00
00
01
01
10
00
00
00
10
11
00
10
10
00
00
00
00
10
00
10
10
10
01
01
01
10
11
10
10
10
01
00
01
10
11
01
01
10
00
10
01
10
11
11
10
00
10
10
01
11
10
00
10
10
11
11
11
00
10
10
00
00
10
00
01
10
11
00
00
00
10
01
00
11
11
00
10
00
00
01
10
10
10
11
11
00
01
10
11
01
10
00
10
10
00
00
10
01
00
00
10
10
11
00
11
11
01
00
00
01
11
10
01
11
00
11
10
10
00
11
10
01
01
01
01
10
10
10
11
10
10
01
10
11
00
00
00
10
10
11
00
01
10
10
11
10
10
00
10
11
00
01
10
11
00
11
10
01
00
10
00
01
10
10
11
01
10
00
00
11
10
11
00
01
00
11
10
11
10
10
11
00
00
11
10
01
01
01
00
00
11
10
01
01
01
11
10
00
01
10
00
00
01
11
01
00
10
11
11
01
00
01
11
01
10
10
01
00
10
11
11
10
00
00
01
10
10
00
01
00
10
10
00
10
11
00
10
00
10
10
00
10
11
10
01
00
10
10
00
10
01
01
11
11
10
00
10
01
00
11
10
00
11
10
00
00
00
10
00
00
00
01
00
01
10
00
11
00
00
10
00
00
10
10
11
00
01
11
10
11
10
01
01
01
10
10
11
00
10
10
00
11
00
00
10
00
00
01
11
10
00
10
01
01
01
10
10
10
10
11
10
01
00
00
00
10
00
10
01
00
10
00
01
00
10
10
00
10
10
00
00
10
00
01
01
00
10
10
00
10
11
10
00
10
10
00
00
01
10
10
10
01
10
00
01
11
11
11
01
01
11
00
01
10
11
11
00
01
00
00
10
01
11
10
00
00
01
01
10
01
00
00
00
00
10
10
00
01
10
10
10
00
11
10
11
10
11
10
10
10
11
10
00
00
10
00
00
00
00
01
10
11
00
11
00
00
11
10
11
00
00
10
10
11
00
10
11
10
00
00
01
10
00
11
00
10
00
01
00
11
10
00
11
01
10
01
01
10
00
01
10
11
10
10
01
00
00
00
10
01
11
10
11
00
00
10
10
01
00
10
10
00
11
10
10
10
10
00
00
10
10
01
01
10
10
01
01
01
10
11
10
01
00
10
00
00
10
10
00
00
00
10
10
11
00
11
10
10
11
01
00
10
10
01
00
11
00
01
00
00
10
00
11
10
10
11
11
00
00
00
11
10
00
00
00
00
00
10
10
01
01
00
01
11
01
01
11
10
00
00
10
00
00
11
10
01
00
11
10
11
00
01
00
10
00
01
01
00
10
10
00
01
10
10
00
11
11
01
01
11
11
10
10
00
00
11
10
10
01
10
11
00
11
10
00
00
11
00
00
01
11
10
00
10
11
00
01
00
10
11
00
10
00
11
10
00
01
00
10
00
10
10
00
00
11
10
00
00
11
01
01
10
10
00
00
10
00
01
11
00
10
00
00
01
00
10
10
00
11
00
10
00
11
10
01
10
00
00
10
00
11
10
11
00
00
10
01
11
00
01
00
10
10
00
10
00
00
10
00
10
10
00
10
00
00
00
11
01
00
00
01
00
10
10
11
10
00
01
01
00
01
01
11
10
01
00
00
11
11
00
01
01
10
10
00
10
01
00
11
00
10
00
10
00
00
11
11
10
10
11
01
00
10
11
10
00
00
00
10
10
01
10
01
01
00
10
10
00
10
10
10
01
10
00
11
10
10
00
11
00
00
01
10
10
00
10
00
00
01
00
01
10
10
00
10
10
10
00
00
11
11
00
10
00
11
10
10
00
00
00
10
10
00
10
00
01
11
00
00
10
11
00
10
10
10
10
11
01
00
11
10
00
00
11
10
00
10
10
01
10
11
00
00
01
10
00
00
00
01
10
10
01
01
00
10
00
11
00
10
00
00
10
10
01
10
00
00
10
00
10
10
00
10
10
00
10
11
00
00
00
11
10
01
01
11
10
01
00
00
11
10
00
00
00
10
10
00
10
00
00
10
00
11
10
01
00
00
00
10
00
01
10
10
01
01
00
10
10
11
00
10
10
10
00
00
00
00
00
00
10
00
10
10
11
10
10
00
00
11
01
00
10
11
00
00
10
00
00
10
10
10
10
00
00
10
10
10
10
00
10
00
01
10
11
00
01
10
00
00
10
01
00
00
00
11
00
00
00
10
10
10
10
00
10
10
11
00
11
01
10
00
00
10
10
01
00
11
11
11
01
00
01
10
01
00
01
10
11
00
01
01
10
11
01
00
10
11
00
11
00
10
11
11
01
10
10
00
11
01
01
00
11
00
00
11
10
01
01
11
10
01
01
11
00
00
10
10
00
11
11
01
01
10
10
10
11
01
00
10
10
10
00
10
00
00
10
11
10
01
01
10
10
01
00
01
01
10
10
00
10
10
01
01
00
10
00
10
10
10
01
11
10
00
00
01
10
10
10
10
00
00
10
01
10
11
01
00
00
10
00
10
00
11
01
00
11
11
10
01
00
00
10
00
11
11
10
10
10
00
10
11
10
00
00
11
10
10
00
10
10
01
11
10
10
00
01
00
10
10
10
10
01
00
01
01
10
11
00
00
10
00
11
00
01
11
10
00
11
00
00
10
01
11
10
00
01
00
00
00
01
10
01
11
10
00
00
00
10
10
00
10
00
11
00
00
00
00
10
00
11
10
00
01
10
00
11
00
10
11
01
00
01
10
01
00
10
01
10
00
00
00
10
00
00
10
00
10
10
01
01
01
11
10
00
10
10
01
00
11
10
10
10
11
00
00
01
10
00
10
11
00
00
11
00
10
00
01
10
11
01
10
01
11
00
00
00
11
10
10
01
00
01
00
10
10
00
00
00
10
11
00
11
01
10
11
01
00
01
10
10
00
00
10
00
00
10
01
10
00
11
10
11
10
01
10
10
00
00
10
10
00
01
00
01
00
11
10
11
00
10
11
10
01
10
00
01
10
00
01
00
11
01
11
10
10
10
00
10
10
01
00
00
00
01
01
01
10
01
11
10
11
11
00
11
01
10
11
10
00
01
01
00
00
01
10
10
10
11
11
10
11
00
10
10
11
10
11
00
00
10
10
00
00
00
00
11
00
00
11
11
10
11
10
10
10
10
01
01
11
10
10
00
01
01
10
10
01
10
10
01
00
00
10
10
00
00
11
10
00
00
11
11
10
11
00
01
10
01
10
01
11
01
10
11
00
01
00
10
10
01
00
10
10
01
01
00
11
11
00
00
00
00
10
01
00
00
00
10
10
00
10
11
01
10
10
00
00
01
01
11
11
10
10
00
10
11
01
00
00
10
11
10
11
00
10
00
00
00
00
10
10
11
10
00
01
10
00
00
10
11
11
11
01
11
01
01
01
10
01
01
11
11
10
01
01
11
00
01
00
10
01
01
11
10
01
01
00
00
00
10
10
11
00
01
01
01
10
01
00
10
00
00
01
11
01
00
10
11
10
10
00
11
10
11
00
00
00
11
10
10
00
10
01
00
00
10
10
10
10
01
10
00
11
10
01
01
01
00
00
10
10
10
01
00
10
01
10
10
10
01
01
10
11
10
01
00
00
00
01
00
11
11
00
10
01
00
10
10
00
00
00
11
10
00
00
00
11
00
00
10
00
00
11
00
01
10
01
00
10
00
00
10
10
10
00
00
10
01
00
10
00
00
00
10
01
10
11
01
10
01
10
10
11
01
00
11
10
11
00
00
10
11
11
00
10
10
00
01
10
01
10
10
01
00
00
10
00
01
10
01
10
00
00
00
11
10
00
01
01
00
11
01
00
11
00
00
10
00
01
10
10
00
11
11
00
10
00
11
10
00
00
10
11
00
01
01
01
10
00
10
00
01
11
01
00
00
10
00
00
00
00
10
10
00
00
00
01
00
11
01
10
00
11
11
01
10
10
10
01
00
10
10
11
10
00
01
10
10
10
10
01
00
00
11
11
10
00
00
00
00
00
10
00
10
10
10
10
00
10
01
01
00
11
10
10
11
11
01
00
10
10
00
11
00
01
11
01
10
00
00
10
10
01
10
10
01
00
00
10
00
10
11
11
00
00
00
00
10
11
10
11
01
01
11
01
01
00
10
10
01
01
00
11
10
10
01
10
10
00
00
10
10
00
00
10
10
01
01
01
00
00
00
10
01
11
00
00
10
11
00
11
11
10
00
10
00
00
10
11
11
11
10
10
10
00
10
00
11
10
01
10
00
01
10
00
00
11
11
10
01
10
00
00
11
11
10
00
00
00
10
01
00
01
00
10
00
10
11
10
10
01
01
01
00
10
11
10
00
00
00
10
10
10
01
01
11
01
11
00
01
00
10
10
10
00
00
10
00
00
10
10
01
00
10
00
00
00
01
11
10
01
10
10
11
00
11
10
10
10
11
10
00
10
10
00
11
10
11
10
01
11
01
00
00
00
10
00
01
01
10
10
01
11
10
00
00
10
10
10
00
10
00
00
10
10
10
10
00
10
00
00
11
11
11
00
00
10
01
10
11
10
01
01
00
00
10
00
00
10
10
01
00
10
10
00
01
00
00
11
11
01
10
11
01
10
00
10
10
01
00
10
00
01
11
10
01
01
11
00
10
00
01
00
10
00
00
11
00
00
10
10
10
11
10
01
00
11
01
10
10
00
01
10
01
00
00
11
00
00
11
00
00
10
00
00
10
10
01
00
10
00
00
10
00
00
10
10
00
00
00
10
11
01
00
10
10
11
00
00
01
10
01
01
10
00
10
10
10
10
01
00
10
10
11
11
00
11
10
11
10
10
00
00
10
11
10
01
11
10
01
10
00
11
11
01
11
01
00
11
10
00
10
10
10
10
11
01
10
11
01
01
11
11
00
11
00
00
00
01
11
11
00
00
00
10
11
01
01
11
10
11
11
10
11
00
00
11
00
10
00
10
01
10
10
01
10
01
10
11
00
00
01
10
10
00
11
00
10
00
00
00
11
11
10
00
00
10
00
00
00
01
10
01
00
00
11
00
10
11
00
00
10
10
11
10
01
00
00
11
00
00
11
01
00
10
11
01
10
11
00
10
10
00
00
00
11
10
10
11
11
11
00
01
10
01
11
00
10
11
10
00
00
11
01
00
10
01
00
10
00
00
00
00
00
10
10
11
00
11
10
00
01
01
10
00
01
00
00
01
10
11
11
00
00
11
11
01
11
00
10
00
10
10
10
00
10
11
01
01
00
00
01
10
11
11
10
00
01
10
10
11
01
10
11
11
00
11
10
01
00
00
01
10
10
10
10
10
11
10
01
01
00
00
01
10
00
10
11
10
01
01
10
10
00
00
00
00
11
10
00
00
00
11
00
00
00
10
10
00
11
10
00
10
10
00
00
10
10
01
01
10
00
10
11
00
01
00
01
00
01
11
10
11
00
10
01
10
10
00
11
11
01
01
10
11
01
10
00
00
10
11
10
00
00
01
10
00
11
10
01
00
10
10
10
01
00
11
11
00
10
00
10
01
11
10
10
01
00
10
00
10
11
00
10
00
00
01
10
11
00
00
00
00
00
11
00
10
11
00
01
10
10
00
11
11
00
01
10
10
10
00
11
01
00
10
10
00
10
00
10
10
11
00
00
10
00
10
01
00
11
10
00
00
00
00
01
01
10
11
00
10
10
11
10
01
01
10
11
00
00
01
00
10
10
00
01
00
10
10
00
00
01
00
00
10
00
00
01
00
11
00
00
10
01
01
11
01
11
11
00
11
10
00
00
00
10
01
00
10
10
00
10
01
10
00
10
01
00
11
00
10
01
00
10
10
10
00
10
00
00
10
10
00
01
11
01
10
01
00
00
11
10
01
11
11
01
00
01
10
00
10
00
00
00
10
10
00
11
00
10
10
11
10
01
00
10
01
00
11
10
01
00
10
11
00
10
11
10
01
00
00
00
10
01
11
11
10
00
00
00
01
00
10
10
00
00
00
01
11
10
01
00
10
10
00
00
00
00
10
10
01
11
00
00
00
10
00
00
10
00
01
00
11
10
10
10
10
10
00
00
10
01
10
00
00
01
00
10
00
11
11
10
11
00
01
10
00
00
00
00
10
00
01
10
10
00
01
10
00
00
10
10
00
10
00
10
11
00
11
00
10
10
10
10
01
01
11
01
00
00
10
10
10
01
00
11
10
10
10
10
10
10
01
11
10
01
10
11
01
01
10
10
10
00
11
11
01
00
00
00
10
01
01
00
00
11
10
10
10
00
01
10
11
10
11
10
11
00
11
00
00
00
10
10
01
00
10
00
00
01
10
10
00
00
00
10
11
00
01
00
11
10
10
10
00
00
10
01
01
00
00
00
10
10
01
10
01
01
11
00
00
11
01
10
11
10
00
00
10
10
00
01
01
01
00
10
00
00
01
00
10
11
00
01
01
11
01
01
00
00
00
10
11
00
10
11
10
10
01
01
10
01
00
11
00
11
10
00
01
10
00
00
01
10
00
10
10
10
00
00
00
11
00
10
00
10
11
01
00
10
01
01
00
10
10
10
01
00
00
11
10
11
00
01
00
10
11
00
00
00
00
11
00
00
01
01
11
11
11
11
10
00
10
10
00
00
00
10
10
11
00
00
10
00
00
11
10
10
10
00
11
00
11
11
00
00
11
11
00
01
00
11
10
01
01
10
11
01
00
00
00
11
10
01
00
10
11
01
01
00
00
11
10
00
11
10
00
11
10
00
10
01
10
00
10
10
00
10
00
00
10
11
10
10
10
10
00
10
01
00
01
11
01
11
10
10
10
10
00
00
00
11
11
01
10
01
10
10
11
11
01
01
10
01
10
00
00
11
10
11
01
01
11
00
11
11
10
00
01
10
10
01
01
01
00
00
01
00
10
10
00
10
11
11
00
01
10
01
10
10
00
00
10
00
10
01
10
11
00
01
10
11
01
00
11
01
10
11
00
10
11
10
00
10
00
00
00
00
11
11
00
00
01
00
11
10
00
10
00
10
00
00
00
11
11
01
01
01
10
01
11
10
11
00
01
10
10
01
10
00
00
00
00
00
01
01
10
00
01
10
10
10
10
00
10
10
00
11
11
10
00
11
01
11
10
00
00
10
10
11
10
11
10
11
11
10
00
00
00
00
00
10
11
00
00
11
00
00
11
11
11
11
00
00
01
10
10
10
00
10
11
00
00
01
01
10
00
11
00
10
11
00
10
10
10
11
10
00
10
10
00
00
10
00
01
10
11
01
00
11
11
10
11
00
00
00
00
10
01
10
00
11
11
00
10
01
10
01
00
11
11
00
01
00
10
10
00
00
00
10
11
00
00
10
11
10
10
00
01
10
00
00
10
00
00
10
10
10
01
10
10
10
00
00
01
01
10
11
11
10
10
00
00
10
11
00
01
10
01
00
11
10
00
10
00
00
00
00
10
00
01
11
10
01
10
10
00
10
10
11
00
01
10
10
00
10
11
10
01
01
00
00
11
10
11
00
00
00
00
01
00
01
10
10
01
00
01
00
01
10
11
10
10
00
01
11
01
10
01
10
11
00
00
01
10
00
11
10
00
00
00
10
00
01
11
10
00
01
00
10
10
00
00
10
01
10
10
01
11
00
10
10
00
10
10
10
11
10
10
00
00
01
10
10
00
10
00
00
01
11
10
10
10
00
00
00
10
00
11
10
10
01
00
10
01
01
11
10
01
10
00
00
00
00
11
01
00
01
00
01
10
10
10
10
00
00
10
11
01
00
00
01
10
11
10
10
00
00
11
11
01
01
11
11
00
10
10
01
00
11
00
00
00
00
10
01
10
10
00
00
00
10
00
10
10
00
01
01
00
11
10
01
10
11
00
00
00
10
10
00
11
10
00
01
01
01
00
01
11
11
01
11
10
01
11
11
10
11
01
10
00
01
00
00
10
10
11
01
01
00
10
11
01
11
10
00
00
10
00
11
10
01
00
11
10
00
01
10
10
11
10
10
00
10
11
10
01
00
10
11
01
01
10
11
01
00
10
10
01
10
00
00
11
00
00
00
10
00
00
11
00
10
11
01
10
01
01
10
00
10
00
11
00
00
10
10
00
00
00
00
10
11
11
10
10
01
10
11
10
01
00
01
11
10
11
00
00
01
11
11
00
01
00
11
10
01
00
11
10
01
00
10
11
00
00
00
01
11
10
10
01
00
11
11
00
00
11
11
10
00
00
11
00
10
10
00
10
10
00
00
10
10
00
00
10
11
11
10
11
01
00
10
11
01
10
10
00
00
10
10
00
10
10
00
10
11
00
11
10
00
01
11
01
10
00
00
00
00
11
11
01
00
10
10
00
00
10
10
00
01
11
01
11
10
00
11
10
00
10
10
00
10
01
10
10
00
00
01
10
00
10
00
01
10
11
10
11
00
11
10
01
00
00
11
10
11
00
01
11
11
01
11
00
10
10
00
01
11
10
01
11
10
10
10
11
00
10
10
01
10
10
00
00
00
10
00
10
10
00
10
01
01
00
00
10
11
11
10
00
00
11
10
10
00
10
11
01
10
00
01
01
10
00
10
10
10
01
00
11
10
10
01
10
00
01
01
10
01
10
11
10
00
00
00
10
10
01
00
01
10
10
10
00
00
10
01
00
01
10
10
10
10
00
11
00
00
00
00
01
10
01
00
10
11
10
10
10
11
00
00
00
11
10
11
00
00
10
11
00
00
01
11
10
00
00
10
01
00
11
10
00
10
00
10
10
10
00
01
00
00
00
10
11
00
10
00
10
11
10
10
00
11
11
00
10
00
00
10
10
10
01
00
10
11
00
11
00
00
10
10
10
01
10
00
01
00
00
00
10
11
00
00
00
00
01
00
01
10
11
00
10
00
00
11
10
10
00
01
00
10
10
10
01
01
11
10
00
01
10
00
00
01
10
10
10
10
01
00
01
11
11
01
10
10
00
00
10
11
11
01
00
10
00
10
11
10
01
01
00
01
10
10
00
00
10
10
10
00
10
10
01
00
00
00
10
00
00
01
10
10
00
10
00
11
10
01
10
00
00
11
10
10
10
11
00
11
10
00
11
01
10
10
10
10
11
01
01
10
01
00
10
00
00
10
00
01
11
00
00
10
10
00
00
11
10
00
01
11
00
00
00
00
10
10
00
01
00
10
00
10
00
01
00
10
10
01
01
11
10
00
10
00
00
00
11
00
11
11
10
00
00
01
00
01
10
11
10
00
10
00
01
11
11
00
00
00
11
00
11
11
00
00
10
00
00
00
10
10
00
00
11
00
00
11
10
11
10
01
00
10
11
01
10
01
10
10
10
01
10
00
11
10
11
10
00
01
00
10
11
10
00
10
01
01
10
10
00
11
10
00
10
00
10
11
00
10
10
10
00
00
00
00
01
01
10
01
00
00
00
00
10
10
10
01
01
10
01
11
11
11
01
00
11
10
00
10
10
01
10
00
10
11
00
00
00
01
11
10
01
00
00
10
10
00
10
10
11
00
01
00
01
10
11
01
00
11
10
10
00
01
10
10
01
00
00
10
00
01
01
00
10
01
00
11
11
00
10
11
00
01
00
00
10
10
10
00
01
11
11
10
11
10
10
10
11
10
00
01
00
01
11
00
00
00
00
01
10
10
10
11
11
11
01
00
00
10
00
01
00
11
11
00
01
11
10
00
11
11
01
00
11
00
00
10
11
01
01
01
10
10
10
00
00
10
11
00
10
00
11
00
10
01
11
10
00
00
00
11
11
10
01
00
10
00
00
11
00
01
10
10
00
11
01
00
10
10
01
00
10
10
11
00
10
10
10
00
10
00
01
10
10
00
11
00
10
00
01
00
11
11
10
11
00
01
10
00
00
10
10
00
00
11
10
00
10
00
00
11
00
00
11
10
00
10
11
10
11
11
00
01
10
10
10
11
00
10
00
00
11
00
00
10
10
10
00
01
10
11
10
11
00
10
00
00
00
10
11
11
00
00
11
00
00
00
00
10
10
11
10
00
00
00
10
10
01
01
10
00
00
10
11
00
10
10
00
10
11
11
00
00
10
00
10
00
10
01
11
10
01
00
10
00
00
00
00
10
10
10
01
10
10
00
00
00
11
10
00
10
11
01
00
01
01
11
10
11
00
11
00
00
11
10
11
11
10
01
10
10
11
10
00
01
10
10
11
00
00
01
10
11
10
00
01
11
10
10
00
01
10
10
10
11
01
00
00
10
10
10
00
00
10
11
10
11
00
00
00
11
11
00
10
11
10
10
10
00
00
10
10
00
01
01
10
10
10
01
10
10
00
11
10
10
00
01
10
11
01
10
11
11
00
10
00
01
10
00
10
10
01
01
11
01
10
10
00
10
00
01
10
11
00
00
00
00
00
00
00
00
10
11
00
00
10
00
01
11
11
11
11
00
00
01
00
00
11
10
00
00
10
11
11
01
00
00
01
00
10
00
11
01
00
10
10
11
11
01
00
01
01
00
00
10
10
01
11
11
01
00
11
11
10
10
00
01
01
10
11
00
01
11
11
01
10
11
01
00
11
00
00
10
11
10
00
00
11
10
00
10
00
01
00
10
00
10
11
01
00
10
10
00
11
11
00
01
00
01
10
00
11
10
10
00
00
01
00
11
00
00
10
10
11
00
01
10
10
00
00
00
11
11
00
00
10
00
00
10
00
11
01
00
10
01
10
11
10
10
00
01
10
01
10
10
11
01
10
00
00
11
10
00
00
10
00
00
10
10
10
11
00
11
00
11
10
00
00
10
10
01
00
11
00
10
11
00
11
10
10
10
10
00
00
00
00
10
00
11
10
00
00
10
00
10
00
00
01
10
10
10
10
00
10
11
00
11
00
01
11
10
01
11
11
00
10
00
11
10
00
00
10
11
01
10
10
00
00
11
11
01
10
00
00
00
10
01
00
10
00
11
00
00
00
10
10
10
11
01
01
10
01
01
10
11
00
10
10
01
01
01
01
11
10
01
01
11
11
10
01
00
00
10
10
00
00
11
11
10
10
10
01
00
00
01
10
01
11
10
00
00
10
01
00
01
10
10
10
10
01
00
00
00
01
11
10
10
01
11
00
10
11
00
00
00
00
10
01
00
10
01
10
10
00
00
00
11
11
10
01
00
11
11
00
10
10
00
00
01
00
11
11
01
10
10
00
01
01
11
01
00
00
11
10
10
00
01
10
00
00
00
10
11
11
11
00
11
00
10
11
11
10
01
10
10
10
00
00
11
10
00
10
11
11
00
00
01
10
00
00
10
00
10
00
00
10
11
00
00
10
00
01
00
11
11
00
01
10
00
10
00
01
10
10
00
00
11
10
00
00
10
11
11
01
10
10
01
00
11
10
01
00
10
10
00
00
00
00
10
01
11
11
10
11
01
10
11
00
10
11
11
00
10
01
11
01
01
11
00
00
00
10
00
00
10
11
10
00
00
10
00
01
11
00
11
10
10
00
11
01
00
01
11
11
10
00
01
10
00
00
11
10
00
00
10
11
00
00
01
10
00
00
01
00
01
10
10
11
01
10
10
00
01
00
00
10
01
01
00
10
00
01
10
00
10
10
01
10
00
00
00
10
10
00
00
00
00
11
11
10
10
00
00
00
10
10
10
01
01
10
10
00
01
10
10
10
00
11
10
00
11
11
11
00
01
10
10
10
01
00
10
00
01
00
01
10
10
10
00
11
10
11
00
11
00
00
00
10
10
00
11
00
01
11
10
00
00
01
10
00
00
11
11
10
00
00
10
00
11
11
00
10
00
10
10
00
10
10
11
10
10
10
00
11
10
00
11
01
10
10
00
00
10
00
10
01
00
00
00
00
01
11
10
10
01
10
01
00
10
01
01
11
10
10
00
00
00
10
11
01
01
10
00
00
00
00
01
10
10
00
11
10
11
10
00
00
10
10
00
10
11
11
10
11
11
00
00
10
01
11
11
00
00
10
10
00
10
11
00
00
10
10
00
00
01
01
11
01
00
11
01
01
00
00
11
11
00
01
10
10
00
01
00
10
10
11
00
10
10
01
10
11
10
10
00
01
10
11
00
00
00
01
10
11
00
01
00
00
11
10
01
00
10
10
10
10
10
00
00
10
00
10
01
00
01
10
11
00
00
10
10
10
00
00
10
00
00
00
00
00
10
00
10
10
10
10
10
00
10
10
10
00
10
10
01
10
01
10
01
00
00
00
00
00
11
10
11
00
10
00
00
00
00
01
10
10
01
01
00
00
10
10
00
10
00
01
01
10
11
00
11
01
01
01
11
00
01
00
11
10
00
10
01
11
11
01
01
01
00
10
01
01
10
10
00
00
00
01
01
11
01
00
10
11
00
10
10
00
11
10
00
00
00
10
00
01
10
11
10
10
00
11
00
10
11
00
11
00
00
00
10
00
01
00
10
10
11
10
11
10
10
10
01
01
10
00
10
10
00
00
00
00
10
00
10
11
11
11
00
10
11
00
11
00
10
00
01
01
11
10
00
10
11
01
00
00
10
10
01
10
11
00
11
10
11
10
00
11
10
10
01
00
11
00
01
10
10
00
00
10
11
10
01
00
00
00
10
01
00
00
01
10
10
10
11
00
01
00
10
11
01
11
00
10
00
11
10
01
10
10
00
10
00
10
10
00
11
01
11
10
00
00
00
10
11
10
00
11
01
00
10
00
11
00
01
10
11
00
00
10
10
10
11
00
00
00
10
11
00
11
10
11
00
00
01
11
11
00
10
10
11
11
00
00
10
10
11
01
00
10
11
00
10
00
11
11
11
00
01
00
10
01
01
11
01
10
10
00
10
10
00
01
11
10
01
10
00
10
11
10
10
10
01
01
11
10
10
10
00
00
11
11
00
01
10
10
11
10
00
10
01
01
00
10
11
00
10
01
10
01
00
00
11
00
11
01
01
01
00
10
10
10
01
11
11
00
10
01
01
10
10
00
00
10
00
00
10
10
01
00
00
00
10
11
11
10
11
10
00
10
00
01
00
01
11
10
10
10
00
00
10
10
00
00
01
10
01
10
10
10
00
00
10
10
00
00
10
10
00
00
10
00
00
10
10
10
10
00
11
11
01
00
11
00
00
11
10
01
00
11
01
00
01
11
10
01
10
10
01
01
10
11
00
10
10
00
00
10
00
00
00
11
10
10
11
00
00
00
00
00
00
10
10
10
00
00
01
11
00
01
10
11
10
11
10
01
00
11
00
10
10
00
00
10
01
01
00
00
00
10
10
00
01
10
01
00
00
11
00
10
00
01
10
00
00
10
10
00
01
10
00
00
11
10
01
10
00
00
00
00
00
01
10
00
11
10
10
10
00
10
01
10
11
00
10
01
10
01
00
11
00
00
10
00
00
10
11
01
10
11
10
01
10
10
00
00
11
10
10
00
00
10
01
10
00
10
10
10
01
10
10
11
00
11
01
00
11
00
00
00
11
10
10
01
01
01
10
11
00
00
00
00
10
10
00
00
00
10
01
01
10
00
11
10
11
01
11
11
11
01
01
01
00
11
01
00
00
10
11
11
11
00
00
10
11
10
10
10
00
10
10
01
00
00
10
10
10
10
00
00
10
01
00
01
01
10
10
01
01
10
00
00
01
10
00
11
00
00
10
00
11
11
01
00
00
10
10
10
00
01
11
00
01
00
11
00
00
10
00
01
00
00
10
00
10
10
10
10
00
01
00
00
11
00
00
11
10
10
10
00
10
10
00
00
11
01
11
10
10
00
00
00
10
11
00
10
00
10
10
00
00
10
00
10
10
01
10
11
10
01
10
00
10
10
10
00
10
11
01
01
00
10
00
10
10
00
00
10
01
11
11
00
11
00
00
10
00
01
01
01
00
00
00
11
10
10
10
01
01
00
01
10
00
01
10
00
00
01
10
00
10
10
00
00
11
00
00
00
00
10
11
11
00
01
00
11
10
10
00
00
10
11
10
01
10
00
00
10
11
00
10
10
00
00
00
10
10
00
11
00
00
11
00
00
01
01
00
00
10
10
10
00
00
01
10
00
10
10
10
00
00
11
00
01
00
10
01
11
01
10
11
00
00
01
10
01
00
10
00
10
00
00
10
00
10
10
00
11
01
00
01
11
00
00
11
11
10
10
10
01
10
00
01
10
11
10
01
00
10
00
01
11
11
10
01
00
10
00
10
00
00
00
11
10
10
01
00
01
01
11
00
00
01
10
01
00
00
11
00
10
11
11
01
10
11
10
10
01
00
00
10
01
00
00
10
10
00
10
00
01
01
11
11
10
01
11
00
00
00
00
00
00
10
10
01
01
11
00
11
10
00
00
11
11
01
01
10
01
10
11
00
00
10
11
01
01
00
11
00
10
11
01
10
10
00
00
00
10
11
00
00
01
10
10
10
01
10
10
00
01
00
11
10
10
11
01
00
10
10
00
01
10
10
00
10
00
00
10
11
00
10
00
01
00
11
10
01
10
11
11
00
01
11
10
01
10
10
11
10
00
00
00
10
10
10
11
00
00
00
00
00
01
00
00
00
10
10
00
00
00
10
01
10
00
01
01
01
10
10
00
10
01
00
11
10
01
00
11
10
10
10
00
00
00
10
10
01
00
11
00
00
01
10
10
11
11
00
01
10
10
00
10
00
10
11
00
10
01
10
10
01
11
01
11
10
10
11
11
00
11
10
01
00
00
10
11
10
00
00
01
00
10
11
11
10
00
00
10
00
10
10
00
00
00
01
00
10
10
10
00
01
00
10
00
00
10
11
10
01
00
10
11
11
10
01
00
11
00
10
01
00
10
10
11
01
10
11
10
00
00
01
10
10
01
00
11
01
11
00
10
10
10
11
00
00
10
10
01
10
00
01
01
10
00
10
01
01
11
10
00
00
00
00
10
00
01
10
00
10
10
10
01
10
10
00
11
11
00
11
10
00
10
11
00
00
00
11
00
10
01
00
00
11
01
00
11
10
10
01
10
10
01
01
00
10
00
10
10
11
10
00
01
11
01
01
11
01
00
00
00
10
10
00
01
11
11
01
10
01
00
11
01
10
10
00
01
11
10
10
00
01
01
01
10
00
00
11
10
01
01
11
11
10
00
01
00
10
10
11
11
11
10
01
01
10
11
00
00
11
10
10
10
11
10
00
00
10
11
10
10
00
00
00
00
10
10
10
01
01
10
10
00
10
11
10
10
01
00
11
00
01
00
10
01
10
10
10
10
00
01
00
11
11
10
10
10
01
11
10
00
10
00
10
00
01
00
00
11
11
10
10
00
10
10
00
01
00
11
01
11
11
11
10
00
10
01
11
00
11
10
00
10
11
11
00
10
11
00
10
11
10
00
00
01
00
00
10
01
11
00
01
11
00
01
01
10
10
11
11
00
10
00
01
00
10
10
11
00
11
01
00
11
00
01
00
10
10
00
00
00
01
11
10
11
10
11
10
11
00
01
10
11
01
00
00
10
10
11
00
00
00
01
00
00
11
11
10
00
01
00
01
10
00
00
10
10
10
11
10
00
01
00
01
11
11
10
00
00
00
10
01
10
10
00
10
11
00
01
10
10
10
00
01
00
10
10
00
10
00
11
00
01
10
00
10
00
10
00
01
10
10
01
01
01
00
00
10
10
01
00
11
00
00
11
10
01
00
10
10
10
00
01
00
10
00
00
10
01
11
11
01
00
01
10
10
00
10
10
10
00
00
10
10
01
11
00
10
10
00
11
10
11
10
00
11
10
10
00
00
11
11
11
01
01
01
00
01
01
10
11
00
00
00
11
11
11
01
10
10
11
00
11
00
00
11
10
01
00
01
11
11
10
11
00
00
10
10
00
01
01
10
00
00
10
00
10
00
01
10
11
10
11
00
10
10
00
10
01
11
10
00
00
10
00
00
11
00
00
10
10
10
00
00
10
10
00
11
00
00
10
00
00
11
11
10
01
00
10
00
00
10
10
11
10
00
11
01
00
10
10
11
11
10
11
00
10
00
10
00
00
01
11
10
00
10
00
10
01
00
11
01
01
10
11
10
11
00
10
00
00
10
10
01
00
01
00
01
11
01
10
10
01
10
11
01
00
10
11
00
01
11
10
10
00
10
11
00
10
10
00
00
10
10
00
00
00
10
10
11
00
10
10
10
10
10
10
00
01
11
01
10
01
00
01
10
10
10
01
10
10
01
01
00
11
01
00
10
00
00
10
10
00
10
10
10
00
00
11
11
00
10
10
01
10
00
01
00
10
10
00
00
00
10
10
00
01
01
10
00
00
10
00
01
00
11
00
11
10
10
10
00
10
01
01
01
00
10
00
10
10
11
10
01
10
00
00
11
10
01
00
10
10
00
11
10
00
01
10
10
00
00
10
00
00
00
10
10
00
01
11
00
00
01
11
10
00
00
01
00
10
10
10
01
00
10
00
01
00
01
00
10
01
11
01
00
10
10
01
01
10
10
00
11
10
10
00
00
00
10
10
00
11
01
01
11
00
10
10
10
00
01
10
11
10
00
00
10
11
01
00
01
10
00
10
11
00
10
00
11
10
01
11
10
10
10
00
00
10
10
00
00
10
10
10
10
01
10
00
10
10
00
01
00
00
00
10
11
10
01
00
10
10
00
10
01
10
00
01
01
11
10
11
11
00
10
01
00
10
00
01
01
01
10
10
01
00
00
10
11
00
10
00
00
11
00
10
11
00
11
10
00
00
00
10
11
11
00
10
00
10
00
11
10
01
11
01
10
11
11
00
11
11
11
01
01
10
00
00
11
00
00
01
01
10
11
00
10
00
10
10
00
00
10
10
01
01
01
00
10
01
00
00
11
11
00
00
10
00
11
10
00
00
01
10
10
00
11
00
00
10
01
01
10
00
00
10
00
10
00
11
11
10
01
11
01
01
01
11
10
00
00
01
10
11
00
10
10
11
00
10
00
10
01
00
00
00
00
11
11
01
10
00
01
11
00
11
00
00
00
10
00
00
11
10
11
00
11
01
00
10
01
10
10
00
00
10
01
00
00
01
01
01
00
10
10
11
10
00
00
10
10
00
10
00
10
01
10
00
10
10
01
00
11
10
01
10
11
11
00
00
10
11
00
00
10
00
10
10
00
00
00
00
10
10
11
00
01
10
01
01
10
11
11
01
01
00
11
00
01
11
00
00
11
10
00
00
10
01
10
10
00
10
00
00
10
01
01
11
11
10
01
00
10
00
10
10
10
00
11
10
00
00
00
11
10
11
01
01
11
00
10
01
11
10
10
10
00
00
10
01
10
00
00
01
10
00
10
00
10
00
00
10
00
01
01
00
11
10
10
10
01
01
10
00
00
00
11
10
10
00
10
10
01
10
00
11
00
00
00
11
11
10
01
00
10
11
11
00
01
11
10
10
11
00
10
10
00
00
10
11
00
00
01
00
01
00
11
01
01
10
00
00
10
10
00
00
11
00
00
10
01
01
10
00
10
01
01
00
01
10
10
01
00
11
00
01
11
10
11
00
00
11
00
00
11
10
10
00
10
10
10
11
10
01
10
00
00
00
01
11
10
00
00
11
00
00
10
00
10
00
01
01
10
10
00
00
10
10
11
00
01
01
10
00
10
01
10
11
00
00
01
10
01
00
00
10
10
11
01
10
01
10
01
11
10
00
10
10
00
10
11
00
00
10
10
11
01
00
10
10
11
00
10
00
11
10
01
11
11
01
10
01
01
00
00
00
10
10
00
01
11
00
00
00
10
01
00
11
00
00
10
00
00
01
11
11
10
00
10
10
00
10
00
01
01
00
01
11
00
01
00
11
11
10
10
10
10
11
01
00
01
10
01
11
11
01
01
10
10
00
01
00
10
00
00
10
00
01
01
10
00
00
11
10
00
00
00
00
10
10
00
00
10
10
00
01
11
11
00
00
10
10
00
11
10
01
11
01
00
10
00
00
01
11
01
00
10
01
00
11
00
10
00
00
10
10
00
01
11
00
11
10
10
10
11
10
00
10
10
01
10
00
10
10
11
00
11
11
00
01
11
11
10
10
00
00
01
10
10
10
00
00
10
00
00
11
11
10
00
01
01
11
10
11
10
01
01
00
11
00
01
10
11
11
11
10
00
10
10
10
01
11
11
10
00
10
00
01
00
01
11
00
01
00
01
10
11
10
01
00
01
10
11
01
10
11
10
10
10
10
01
11
11
01
00
00
10
00
10
11
00
01
10
01
00
10
10
10
00
01
01
00
01
00
10
00
10
11
00
00
10
00
10
01
00
00
10
00
00
11
01
01
00
11
00
00
11
11
10
00
00
10
00
10
00
01
01
10
10
00
10
10
00
10
10
10
00
01
10
11
00
10
00
10
00
11
10
11
11
10
11
00
00
11
01
00
11
00
10
00
10
00
00
10
10
10
01
10
00
01
00
10
01
11
00
01
11
10
00
00
11
10
01
00
00
10
00
10
00
11
10
11
10
01
00
00
10
00
01
11
10
01
01
10
10
01
00
10
10
00
00
10
11
10
10
10
10
01
10
00
00
11
01
00
11
10
00
01
10
01
01
01
11
10
01
00
00
10
00
10
11
10
00
01
10
10
10
10
10
00
01
01
11
01
00
00
01
11
00
10
11
00
11
10
11
00
01
00
10
10
00
00
10
00
00
10
01
00
10
01
00
10
11
10
01
00
11
01
11
00
00
01
10
00
10
10
01
10
11
00
10
10
01
01
11
10
00
00
01
00
00
01
11
10
01
11
11
10
10
00
00
00
10
10
00
01
10
01
10
10
00
00
11
10
10
01
11
01
00
10
11
00
10
00
00
11
11
00
00
10
00
00
00
10
11
00
11
00
00
00
00
10
00
11
11
11
10
01
11
10
10
00
00
01
11
10
10
00
01
10
01
00
00
10
00
00
01
00
10
00
00
10
10
10
00
00
11
00
10
10
11
00
10
01
11
11
10
00
10
01
10
01
10
10
00
01
11
11
00
10
00
00
00
10
01
00
00
00
11
00
00
01
11
10
10
10
11
11
10
10
00
00
10
10
11
01
01
11
00
11
01
10
01
00
11
11
00
00
11
00
00
10
10
10
00
10
00
00
00
10
10
00
00
00
10
00
11
10
10
01
00
00
01
10
10
10
00
10
00
00
01
00
01
10
10
10
00
11
11
00
01
10
10
10
01
01
11
10
00
00
00
10
11
01
00
11
10
00
01
01
11
00
11
01
01
10
10
11
00
00
11
01
10
10
01
00
01
10
11
10
10
00
00
00
00
00
10
00
10
10
10
00
10
00
10
01
00
10
10
10
00
10
10
11
00
11
01
11
10
00
00
01
00
11
10
00
11
10
11
10
10
00
11
10
01
00
10
10
00
11
10
00
10
10
00
10
00
00
10
10
00
10
00
01
00
10
00
10
10
00
10
10
00
01
10
00
01
10
11
10
11
10
00
00
00
00
10
10
01
10
10
00
11
11
10
00
01
00
00
10
11
10
10
01
01
00
00
01
10
00
00
10
01
10
10
00
00
01
10
01
10
00
00
01
11
10
00
00
00
01
00
10
11
00
00
11
11
00
11
00
10
10
01
10
01
00
10
10
01
10
00
10
00
01
01
01
10
11
01
10
11
10
00
01
10
11
00
00
10
11
10
10
10
00
01
00
10
01
01
10
10
10
00
00
10
10
01
11
01
00
01
10
01
00
10
10
00
00
11
00
01
10
01
11
01
11
00
00
11
00
11
10
10
00
10
01
00
11
10
11
00
01
00
11
01
00
11
10
00
00
10
10
10
10
01
00
00
10
00
10
11
01
00
00
10
00
10
01
10
10
00
00
10
00
10
00
00
11
01
10
10
00
10
00
00
11
10
01
00
10
11
00
01
00
11
10
00
00
00
10
01
11
11
00
10
11
11
00
00
11
00
10
00
11
00
10
10
10
01
10
10
01
10
00
10
11
00
10
10
10
01
10
10
00
10
00
00
01
01
10
10
01
01
11
10
10
10
10
00
00
00
10
11
10
11
00
10
00
10
00
00
10
00
11
11
10
00
00
01
10
10
11
11
00
01
00
10
10
01
10
01
10
10
10
10
01
00
11
01
01
11
00
01
01
10
10
00
10
00
00
10
10
01
00
10
10
10
00
10
00
01
00
11
10
10
10
10
10
01
11
11
10
10
10
11
11
11
01
01
10
00
00
10
10
11
00
01
00
10
11
01
00
10
00
01
01
00
10
10
10
11
10
10
10
01
01
00
00
10
11
10
11
11
11
10
10
01
00
11
10
01
00
10
10
00
00
10
10
00
10
00
10
10
00
01
00
00
10
00
10
11
10
10
11
00
00
00
10
11
10
01
11
01
10
11
10
01
01
01
01
10
11
10
10
00
00
10
10
00
00
00
11
01
11
10
00
01
11
10
00
01
11
00
01
01
00
01
10
10
00
10
10
00
10
11
10
11
01
00
00
10
10
00
01
10
10
10
11
00
01
11
00
00
10
10
00
10
10
11
10
01
01
00
10
10
10
00
00
11
11
00
10
10
00
00
10
10
00
01
01
00
11
11
00
00
00
10
11
10
00
00
10
11
10
10
01
00
10
00
11
11
01
00
00
00
00
10
00
00
10
11
10
00
10
00
00
11
01
11
10
01
00
01
01
11
11
01
01
11
01
00
01
10
10
01
00
11
10
01
01
10
11
10
00
00
00
10
00
10
11
10
10
00
00
01
01
10
11
10
00
10
01
00
00
11
10
01
10
00
00
11
01
01
10
10
10
00
11
00
11
10
00
11
10
01
00
10
11
11
01
10
00
00
10
10
00
10
00
10
10
00
01
10
00
01
00
01
00
11
00
00
01
00
01
10
10
00
11
10
10
11
01
10
01
11
00
00
00
11
10
01
00
01
11
10
00
10
10
00
11
01
00
01
10
01
00
10
11
01
10
10
10
00
00
01
10
10
10
10
11
10
10
00
11
00
01
10
10
11
01
10
11
00
10
01
00
00
00
01
10
11
01
10
10
00
10
01
10
10
10
10
00
00
11
10
11
10
00
11
10
01
00
10
11
00
00
00
10
01
01
00
10
11
00
00
11
11
11
11
01
00
10
00
10
00
00
01
10
10
10
10
10
01
00
11
10
01
00
01
00
01
10
10
10
01
10
00
10
11
10
11
01
10
11
00
10
10
11
00
00
10
10
01
01
01
00
10
10
01
10
10
10
10
01
10
11
00
11
10
00
10
11
00
00
01
10
10
11
10
00
00
10
00
01
00
10
00
10
11
00
11
11
10
01
11
10
01
00
10
10
10
00
10
11
00
10
11
00
01
10
00
00
00
10
00
10
11
00
10
10
10
00
01
00
01
11
01
00
01
00
10
01
10
00
00
10
00
00
10
10
01
11
00
00
00
00
01
01
10
10
10
00
10
00
01
00
11
00
10
10
01
10
01
00
11
10
10
01
11
01
10
10
01
01
11
00
00
10
10
10
01
10
11
10
10
00
10
01
00
11
00
10
11
00
00
00
00
10
10
00
11
10
00
01
10
00
00
00
01
11
10
11
10
01
10
10
00
01
10
10
11
00
00
10
11
00
00
00
01
10
11
11
00
00
10
00
00
01
10
00
11
11
11
00
10
11
00
00
10
00
00
10
10
00
11
00
00
00
00
01
11
00
00
10
00
01
00
00
10
10
00
10
11
00
00
10
11
01
11
00
00
10
11
10
11
00
01
10
01
01
00
10
11
11
00
01
10
10
00
01
00
00
10
10
00
10
10
10
10
00
11
00
11
00
11
11
10
00
10
11
00
00
11
10
00
01
10
00
10
00
00
10
10
11
11
10
10
10
10
01
10
10
00
00
10
00
10
00
10
01
00
10
10
10
00
10
10
11
00
11
00
00
10
00
11
10
11
00
00
00
10
10
10
00
01
10
10
10
01
11
01
01
11
00
10
00
01
00
11
00
01
00
00
10
00
01
10
10
11
11
01
11
11
01
11
00
00
10
10
00
01
01
11
00
10
10
10
10
00
01
11
00
10
00
10
10
11
11
00
00
01
10
10
11
11
00
00
00
01
01
10
01
00
00
10
11
00
00
00
11
10
10
10
11
00
01
00
01
11
11
00
00
00
00
10
10
00
10
00
01
01
11
00
11
10
11
00
00
10
10
00
00
00
10
00
01
01
10
10
00
01
10
01
10
10
01
10
11
01
01
00
00
10
11
01
01
00
10
10
10
00
00
00
00
11
11
00
10
10
10
00
11
10
10
01
00
10
00
00
01
00
00
11
01
10
10
11
10
01
01
00
00
11
11
01
00
01
00
00
00
10
10
01
00
11
01
00
01
00
00
00
10
10
10
01
01
00
01
10
01
10
10
01
10
00
10
10
01
11
10
01
11
10
00
10
00
00
00
11
10
00
10
01
01
11
01
01
00
00
00
11
10
01
10
10
00
00
10
00
01
11
01
00
00
00
00
00
10
01
00
10
00
00
11
11
10
00
11
01
00
10
01
10
10
11
00
10
01
01
10
00
00
01
11
10
10
00
00
00
01
10
10
10
10
11
00
10
10
00
01
10
11
00
00
10
00
01
01
10
00
10
00
00
00
10
10
11
00
00
10
00
00
00
00
00
00
01
10
10
00
11
00
10
10
01
00
10
01
00
10
10
10
00
01
10
10
00
11
10
00
10
10
00
00
10
00
00
01
10
10
10
00
01
10
11
01
00
11
11
00
10
10
01
10
01
00
10
11
00
00
00
10
00
00
11
10
11
00
00
10
00
00
00
00
00
00
11
01
01
01
10
01
01
10
11
00
01
00
00
10
10
10
00
01
10
11
00
00
00
00
00
01
10
10
11
11
00
10
10
10
01
00
10
10
01
11
01
11
10
01
01
10
11
00
01
01
01
10
11
00
00
01
10
01
11
01
00
10
10
01
00
11
00
00
00
11
01
10
01
01
10
10
00
11
10
10
00
10
10
11
01
00
00
10
11
00
01
01
00
01
10
00
01
10
11
01
10
10
10
11
01
00
10
11
00
10
10
10
00
00
11
10
10
00
00
11
00
10
01
00
10
11
01
10
00
01
11
11
01
10
00
00
01
10
00
10
10
00
00
01
10
11
10
10
10
00
10
11
00
01
01
00
10
10
01
00
11
10
10
01
01
10
00
01
01
10
10
10
11
01
01
11
10
10
10
10
11
00
01
10
10
11
00
10
00
01
10
11
00
00
00
01
11
11
11
01
01
00
00
10
10
00
00
00
10
11
10
01
10
11
00
10
00
10
10
00
00
10
00
00
01
00
11
11
01
00
11
10
10
01
00
10
10
00
00
10
10
01
10
00
00
10
10
00
00
10
11
00
00
00
01
11
00
10
11
01
01
10
01
01
11
01
10
10
11
00
00
11
11
00
10
10
10
01
00
00
01
10
11
00
11
10
10
00
00
10
00
11
11
00
00
00
00
00
10
10
00
10
10
01
00
10
10
00
10
10
10
10
11
00
00
01
01
10
01
00
10
10
00
01
00
10
11
01
01
10
10
01
01
00
11
11
00
00
10
10
10
01
01
10
10
00
11
01
00
11
11
00
00
10
00
00
01
10
10
10
01
11
11
10
00
10
01
00
10
10
00
00
10
10
00
00
00
00
01
00
11
00
01
01
10
10
10
00
00
00
11
01
01
00
00
11
01
10
01
11
11
00
10
10
10
10
01
01
10
00
10
11
10
10
00
11
10
10
00
11
10
00
10
00
01
10
01
01
10
01
00
10
00
01
10
10
10
11
11
10
01
00
00
00
00
00
00
10
10
00
01
11
10
10
10
01
10
10
00
00
01
10
01
10
01
10
11
00
01
10
11
00
11
11
11
11
00
00
10
00
01
01
11
10
10
01
00
11
10
00
00
11
01
00
00
11
10
00
01
10
10
10
10
00
10
10
00
11
11
01
00
00
10
10
01
10
11
01
01
00
00
10
10
00
01
10
00
00
00
01
11
00
00
10
10
00
11
11
11
10
10
00
10
00
11
00
01
10
10
10
00
10
11
00
11
10
00
00
10
10
01
00
10
11
01
00
01
00
10
10
01
00
10
00
00
10
10
10
00
10
00
00
10
00
10
01
10
11
10
10
01
00
10
11
11
01
01
11
00
00
00
00
10
10
00
01
00
11
00
11
00
10
10
01
10
10
10
00
01
01
00
11
00
00
00
11
00
10
11
01
10
10
11
00
11
01
00
10
10
00
10
00
00
10
01
11
01
00
01
00
10
10
10
10
01
10
10
10
00
00
11
00
01
00
11
00
11
11
01
01
10
10
01
11
11
10
01
01
10
00
01
00
11
10
00
00
00
10
00
01
10
00
10
11
10
11
00
01
01
10
01
11
10
00
01
00
00
01
10
00
00
01
00
10
00
10
10
01
00
00
00
00
10
01
01
11
11
10
01
00
10
10
11
10
01
10
10
00
10
00
00
10
11
10
11
00
10
00
01
10
10
10
00
10
11
01
10
10
00
01
01
00
11
00
00
10
01
10
10
01
00
11
10
00
01
10
10
00
00
10
00
01
11
10
11
10
10
10
00
00
01
10
10
00
00
00
00
01
00
01
00
10
10
11
10
00
10
11
00
10
10
01
00
00
10
10
10
00
10
10
00
10
00
01
10
11
10
01
00
10
00
10
00
00
10
00
10
10
10
00
00
00
00
00
00
10
10
00
10
11
11
00
00
01
10
00
01
00
00
10
10
10
00
00
00
00
10
10
11
10
11
10
00
00
10
00
10
01
00
00
10
10
00
00
10
11
10
00
10
00
10
00
10
00
00
01
10
10
10
11
00
00
00
10
10
10
00
11
00
00
10
00
10
11
01
00
00
00
10
01
00
10
00
00
10
01
01
10
10
01
00
10
00
00
11
00
01
10
11
10
10
10
10
11
10
11
00
10
10
01
01
11
10
00
10
10
10
01
00
10
11
11
00
00
10
00
00
00
10
10
01
10
00
10
10
00
10
10
11
11
10
00
01
10
11
00
00
10
00
00
10
10
00
01
11
01
10
10
00
11
10
11
00
01
01
01
00
10
10
00
01
00
10
10
11
01
00
11
00
00
00
00
01
11
00
00
10
10
10
01
11
00
00
11
10
00
11
10
00
10
00
01
10
11
11
10
11
01
01
11
01
01
10
10
01
10
11
01
00
11
10
00
01
01
00
10
10
00
00
10
10
11
01
00
11
00
00
10
00
00
10
00
01
00
01
10
10
10
10
10
11
01
00
01
00
10
11
10
10
00
00
10
01
11
00
00
11
10
11
00
00
11
00
10
00
00
01
10
01
01
10
11
10
01
10
00
10
10
10
01
00
11
11
11
00
01
10
11
10
01
10
00
11
00
00
01
01
10
00
01
00
10
11
01
10
00
10
10
10
00
00
10
11
11
10
00
00
10
11
00
00
00
01
00
11
00
11
01
10
00
01
10
01
00
10
10
11
00
01
01
11
01
00
11
01
00
10
01
10
10
10
10
10
11
00
00
10
00
01
01
01
10
01
00
11
00
01
00
10
10
00
01
00
10
10
10
11
11
10
00
11
10
00
10
10
10
00
11
11
10
00
00
11
11
00
01
10
10
11
10
10
10
10
00
01
00
00
10
10
01
00
00
11
11
10
11
11
11
00
10
00
01
10
01
00
10
00
11
11
11
10
00
10
10
01
00
00
10
00
00
11
10
00
00
10
10
10
10
10
10
00
00
10
01
00
11
10
00
00
10
01
11
00
00
00
10
01
10
10
01
11
00
01
10
10
00
10
01
01
01
10
10
00
00
10
10
01
01
11
11
10
00
10
00
11
00
00
10
11
00
11
01
00
11
11
11
10
01
01
00
10
10
00
00
00
10
10
01
10
00
10
10
10
01
10
10
00
00
10
00
01
10
10
00
10
10
11
10
11
01
11
10
00
00
10
10
10
10
00
10
00
01
00
00
10
10
11
10
10
10
10
00
10
00
01
10
10
00
01
00
01
11
01
00
10
10
11
00
10
10
10
11
01
00
01
00
10
10
00
10
11
10
00
10
01
11
00
11
10
01
00
10
00
01
01
10
11
10
00
11
11
01
01
00
10
10
00
11
00
01
10
11
01
11
11
10
11
10
00
00
10
00
01
00
11
10
11
10
00
10
00
00
10
11
01
10
10
11
00
01
00
01
00
10
10
11
10
10
10
00
11
11
00
10
10
01
00
10
11
10
00
00
01
11
11
00
00
10
11
11
10
00
00
10
10
01
01
11
10
00
00
01
01
01
01
00
11
10
00
01
10
10
00
01
10
00
10
00
00
00
00
11
10
10
11
00
01
00
10
10
10
00
10
00
11
10
00
11
00
00
10
10
01
10
00
11
10
01
00
10
11
01
11
01
10
00
11
10
00
10
10
10
00
10
11
00
10
11
00
10
10
00
01
00
10
01
00
00
00
00
00
10
11
11
11
00
10
00
10
10
00
00
00
10
11
00
10
10
01
10
11
01
00
10
11
10
10
11
00
00
00
10
00
10
00
00
10
00
01
00
10
10
11
10
01
10
10
00
00
10
00
10
10
10
00
01
00
10
11
10
00
10
00
10
10
00
01
10
10
11
00
01
00
10
00
00
10
11
11
01
00
00
01
10
00
10
10
00
10
00
11
10
00
00
11
10
01
01
11
10
10
00
11
01
01
10
01
00
10
00
11
00
11
10
00
10
00
00
00
00
11
10
01
11
00
10
10
10
10
10
00
00
00
11
00
01
10
10
01
00
10
00
01
10
00
10
11
11
00
00
01
00
10
10
10
01
00
11
01
00
11
10
11
10
01
00
00
11
10
11
01
10
10
00
01
01
10
10
01
10
11
00
01
00
11
10
10
10
00
10
10
10
10
00
11
00
00
11
01
01
10
00
10
10
10
00
00
11
11
00
00
00
01
01
10
10
00
00
10
11
00
01
10
10
00
10
00
00
11
11
10
10
00
11
10
11
10
10
10
11
00
01
10
11
00
00
10
11
10
00
00
10
11
00
01
11
10
00
11
10
00
10
10
01
01
00
00
00
00
11
10
00
11
01
00
11
10
01
10
11
00
00
10
11
10
11
01
01
00
00
00
10
11
00
00
11
01
01
11
01
10
00
00
10
10
00
00
11
10
10
11
00
10
00
00
11
11
00
01
00
00
10
01
00
10
10
00
11
01
11
00
10
10
10
11
00
00
11
10
01
10
10
00
00
00
10
10
01
00
10
10
00
00
01
10
10
10
10
11
10
00
01
11
10
10
00
10
00
00
10
00
11
10
01
10
01
11
10
00
00
01
11
11
00
00
00
10
10
01
10
00
10
10
10
00
01
10
00
00
11
10
11
00
10
10
00
10
00
11
11
00
00
10
00
11
00
00
00
00
00
10
11
10
00
00
11
00
00
11
00
11
11
00
01
01
00
10
01
00
10
10
00
01
10
11
10
01
10
01
00
01
10
11
10
00
10
10
01
10
00
00
10
00
00
11
10
10
00
00
01
10
01
10
00
10
00
11
00
11
00
00
11
11
00
00
10
10
11
01
10
01
10
10
00
11
11
10
01
01
10
00
11
00
10
00
00
00
10
11
11
10
01
10
01
00
10
01
11
10
00
00
10
00
11
10
01
10
11
10
01
10
11
00
00
01
10
00
00
10
10
01
11
11
00
10
01
00
10
11
10
00
00
00
11
10
10
00
00
00
11
10
00
00
11
00
00
00
11
10
01
00
10
01
10
11
10
10
00
00
00
10
11
00
00
00
11
00
10
11
11
00
01
01
10
10
00
01
11
01
10
00
00
01
01
10
00
00
00
10
00
01
10
11
00
00
10
10
11
10
01
10
10
00
11
10
00
00
10
10
10
10
10
10
10
00
01
10
11
00
01
00
00
01
10
00
01
00
10
10
00
10
10
00
00
00
00
11
10
00
01
00
01
10
11
01
11
11
00
01
10
10
00
00
11
10
00
00
11
10
11
01
11
11
10
10
10
01
00
11
11
01
10
10
00
11
00
01
10
10
00
11
10
10
10
00
10
01
00
10
00
00
11
00
10
00
00
00
00
11
00
01
01
01
00
10
00
10
00
10
11
00
10
00
00
00
01
00
01
11
10
01
10
00
10
10
01
11
01
00
01
01
00
00
10
01
10
00
01
00
11
01
00
11
10
01
01
01
10
10
00
01
11
11
11
00
11
00
01
10
11
01
00
10
10
10
00
10
11
00
01
00
00
01
00
00
10
01
00
10
10
10
10
00
00
00
11
10
10
00
11
10
10
10
10
10
11
00
01
10
10
11
01
00
00
00
10
11
10
01
00
10
11
00
01
11
00
00
01
00
00
01
10
01
10
10
00
11
01
10
00
00
00
10
10
10
10
00
00
00
11
00
10
10
00
01
01
10
00
10
00
10
00
10
10
00
00
11
10
10
01
00
10
00
00
11
00
11
11
11
11
11
00
01
10
10
01
00
11
00
01
10
00
10
10
00
00
10
10
11
00
01
00
10
11
11
01
00
11
10
00
00
00
11
11
01
01
01
10
01
00
10
00
00
10
11
10
10
10
10
00
01
01
01
10
10
10
11
00
01
11
10
10
00
11
11
11
00
00
10
10
01
00
11
00
01
10
11
00
00
11
11
10
00
00
11
00
00
01
00
10
00
10
10
10
01
10
10
10
11
10
01
10
00
00
01
00
10
10
01
11
00
01
00
10
11
10
10
10
11
00
00
10
00
00
10
10
01
00
00
10
10
11
10
10
01
01
10
11
10
00
10
10
10
10
11
00
00
11
11
10
01
10
00
11
11
10
11
11
10
00
00
11
10
00
01
10
10
01
11
01
01
01
10
10
01
00
00
00
11
10
10
10
00
00
10
00
11
10
10
00
01
11
10
00
00
00
10
01
10
01
10
00
10
11
10
10
10
01
00
11
11
10
00
10
11
11
11
00
10
01
00
10
00
00
11
00
00
10
01
00
10
10
01
11
01
10
10
10
10
10
11
11
00
00
01
10
01
00
11
00
10
00
10
11
01
00
10
11
10
00
00
10
10
11
00
01
10
00
00
11
11
00
01
11
10
11
00
00
00
00
10
11
01
00
01
00
00
00
01
10
10
11
10
10
01
00
01
11
01
01
10
01
10
00
01
10
00
01
00
11
10
00
00
10
01
11
00
01
11
10
01
10
10
10
10
00
00
00
10
11
00
11
10
00
00
11
10
11
10
00
10
10
10
11
10
00
01
00
11
00
01
11
01
01
00
00
10
00
10
00
00
11
01
00
10
11
10
01
10
00
01
10
00
01
10
10
10
00
01
00
01
10
00
11
11
10
00
10
10
00
01
11
11
10
00
10
01
01
11
00
00
10
11
00
00
00
10
10
10
10
10
10
01
00
00
10
00
01
10
00
11
00
00
00
00
00
01
10
10
00
01
00
00
10
00
10
10
01
00
01
00
00
10
00
01
10
00
00
00
10
11
00
10
00
10
01
10
10
00
01
11
11
11
01
00
10
10
00
11
11
00
11
10
00
11
11
00
01
11
10
00
01
00
01
00
00
10
10
11
10
10
00
10
00
00
00
10
00
01
10
10
10
00
10
01
01
00
10
10
00
10
11
00
00
11
10
10
10
10
00
00
10
01
10
10
00
11
10
00
10
10
10
10
00
01
10
01
00
10
00
10
01
00
00
10
10
10
10
00
00
00
10
00
10
00
11
10
10
00
11
00
11
10
01
00
00
01
11
01
00
10
00
11
01
11
10
00
00
10
00
11
01
00
10
00
10
00
00
10
11
01
01
01
10
00
01
10
11
10
01
00
11
01
10
11
01
11
10
10
00
10
11
00
01
11
11
01
01
01
00
00
10
10
10
10
00
11
11
00
01
11
10
11
10
00
01
01
10
01
00
10
00
01
00
11
00
00
00
00
01
10
10
00
10
00
10
11
11
00
10
11
10
00
00
10
00
00
00
10
10
11
00
01
10
10
11
00
10
10
10
00
00
10
10
01
00
00
10
00
01
00
00
10
00
10
00
11
10
10
11
10
00
10
10
10
10
10
00
11
10
10
01
11
01
01
00
10
00
00
00
10
11
00
11
00
01
01
10
10
00
10
11
11
10
00
01
10
10
10
00
01
00
11
10
01
00
00
01
00
11
10
10
01
10
01
00
00
10
01
10
00
00
01
00
10
10
11
11
01
00
11
00
00
10
00
11
10
10
00
00
10
10
10
00
00
10
10
10
10
10
10
10
10
00
11
10
01
11
00
00
10
10
10
10
00
01
11
11
00
01
00
01
00
10
10
01
10
10
10
01
00
10
00
10
11
01
01
00
01
10
01
10
11
01
00
10
10
10
01
00
10
10
10
00
01
10
10
10
10
00
00
10
00
00
10
11
11
11
00
01
11
10
00
10
10
11
00
00
00
10
11
10
11
00
11
11
11
11
11
10
00
00
11
10
00
00
10
10
10
00
00
11
10
11
10
01
00
10
00
00
01
11
01
10
10
11
01
10
11
01
00
11
00
10
00
00
10
00
10
10
00
01
00
10
01
11
01
00
11
00
10
00
00
10
10
10
00
10
10
11
11
10
01
00
10
10
01
11
10
01
00
00
10
01
10
10
01
00
11
00
01
10
00
10
00
00
00
11
11
00
11
10
00
00
10
00
00
10
10
01
00
11
01
11
01
11
00
01
10
10
01
00
10
10
01
01
01
10
10
11
00
01
01
01
10
10
10
11
10
00
01
00
11
00
10
10
00
10
11
10
00
10
00
01
10
00
00
10
10
10
10
00
01
11
10
01
10
10
11
00
11
11
11
00
00
01
10
01
00
11
11
11
11
10
11
00
10
00
00
10
01
00
10
00
00
10
00
00
00
00
11
00
00
00
10
10
01
00
10
10
10
11
00
01
01
00
01
00
11
10
10
01
11
11
00
10
11
00
10
10
00
00
10
11
10
00
00
10
11
01
10
01
11
00
10
11
00
11
10
01
00
11
10
10
00
00
00
00
11
11
01
01
10
01
00
00
01
00
10
10
00
01
10
11
00
00
00
10
00
10
00
00
00
01
01
01
11
01
00
10
00
10
11
00
10
00
11
00
00
00
10
00
10
00
00
11
00
01
10
10
01
10
10
00
00
10
10
01
01
10
01
01
10
10
00
00
00
00
11
10
10
00
01
00
10
00
00
11
11
10
01
00
10
10
00
00
01
00
10
00
10
00
10
01
10
00
00
10
11
11
00
00
10
00
00
00
00
01
00
10
11
01
10
00
01
10
11
11
00
00
01
11
10
11
01
11
00
10
10
01
10
11
00
00
01
11
10
10
10
00
00
10
10
01
10
00
00
10
10
10
11
00
00
00
10
01
10
10
10
00
00
00
01
11
10
00
11
01
11
10
00
10
10
11
10
01
00
00
10
10
11
10
11
01
00
00
11
00
00
10
11
11
01
10
11
11
01
00
10
00
01
00
11
11
00
00
11
00
00
10
10
01
11
00
01
11
00
00
00
10
10
00
01
00
00
11
10
10
00
00
10
00
00
10
00
10
01
11
00
00
10
00
01
10
10
10
11
00
00
10
10
00
01
00
10
10
00
10
00
10
00
11
10
01
00
01
10
01
10
11
11
00
00
10
10
10
01
00
00
10
00
11
01
11
10
00
10
01
10
00
11
10
00
10
00
00
10
10
00
00
10
10
10
10
10
10
11
11
00
01
10
01
10
01
11
11
01
00
11
10
10
01
00
11
00
11
11
10
00
10
10
00
10
10
00
01
10
00
10
10
01
11
10
01
10
00
11
00
10
10
01
00
01
10
11
01
10
01
00
00
10
10
00
01
10
11
00
00
10
10
00
11
00
01
10
01
00
00
11
10
11
10
10
01
01
10
10
11
01
00
01
11
01
00
11
10
00
10
10
01
01
01
10
11
00
11
00
11
00
11
10
01
01
00
10
11
00
01
01
00
10
10
10
00
10
10
00
11
10
10
10
10
11
10
10
00
01
01
01
10
11
01
01
01
00
11
10
11
00
11
10
00
10
10
01
00
00
10
10
10
00
11
00
11
01
00
10
11
00
10
00
00
00
10
11
10
11
01
11
11
00
00
00
10
10
11
11
10
10
10
10
00
10
00
00
10
10
11
10
00
11
00
10
01
01
10
00
00
00
00
11
00
10
11
01
10
01
01
10
11
00
00
00
00
10
11
11
10
10
00
11
10
00
00
00
00
00
10
10
10
00
00
10
10
00
01
11
10
11
01
01
10
11
00
10
10
00
00
10
11
11
00
00
10
01
10
10
00
00
10
00
00
00
10
10
11
00
10
10
01
10
00
00
00
10
00
10
10
10
10
10
00
00
00
00
00
10
10
01
10
00
00
00
01
00
00
10
00
00
10
11
00
10
11
10
11
01
10
11
10
00
01
00
10
01
11
10
11
00
01
01
00
11
00
10
11
10
11
11
01
00
10
00
10
01
10
10
00
10
01
10
10
10
10
10
00
10
00
10
11
01
10
11
01
00
11
00
10
00
00
10
11
11
01
10
10
00
10
11
01
00
01
10
00
00
00
10
00
00
10
00
11
10
10
00
01
10
10
00
00
01
11
11
10
01
11
11
10
00
01
00
01
11
10
00
00
11
00
00
10
10
01
10
01
01
01
10
00
00
00
00
11
11
01
00
00
10
10
00
01
01
10
11
11
10
00
10
01
01
10
00
10
00
10
00
00
10
01
10
11
00
01
10
11
11
00
01
11
10
01
10
00
01
11
10
00
11
10
00
00
10
11
10
10
00
10
01
00
11
11
10
11
10
01
10
10
01
11
00
10
00
01
10
10
10
00
00
11
10
11
00
00
10
00
01
10
11
10
00
10
00
11
01
01
10
00
00
10
01
10
11
11
11
11
10
00
10
00
01
00
00
11
10
00
11
11
00
10
01
10
10
00
00
10
10
01
01
10
11
10
01
01
00
00
10
00
00
00
11
11
01
01
00
00
01
11
10
01
00
10
11
10
00
01
10
10
00
00
10
10
11
10
11
01
11
00
00
10
01
10
11
00
10
00
11
11
01
00
11
10
00
11
11
00
00
00
10
10
00
00
00
10
00
10
00
00
10
01
01
10
00
10
10
11
11
11
11
10
00
01
10
01
01
10
10
11
11
00
10
11
11
00
11
00
00
10
10
11
11
00
01
10
10
11
01
00
11
00
01
00
10
10
00
11
10
10
01
10
11
10
00
00
00
00
10
10
01
00
00
01
01
10
11
10
10
00
10
10
10
00
00
10
11
00
00
01
11
10
00
10
00
10
10
00
11
10
10
00
10
11
00
10
00
00
00
01
00
01
10
11
10
10
10
01
01
10
00
01
00
01
10
10
00
10
11
00
10
10
11
00
00
00
10
11
00
10
10
01
00
11
00
01
11
10
01
10
10
11
00
00
01
10
11
00
00
00
11
11
10
11
11
10
10
01
11
00
01
00
00
10
10
11
00
00
10
00
00
10
00
10
10
01
10
00
11
00
00
00
00
10
00
00
11
10
10
10
01
10
00
00
10
00
00
10
00
00
11
10
00
00
00
10
00
00
10
10
00
01
00
01
10
10
00
11
10
00
01
10
01
10
00
10
10
10
11
00
10
10
01
00
00
11
10
10
00
00
00
01
10
00
11
00
11
00
01
11
00
01
10
00
00
01
01
10
01
00
10
01
10
00
10
00
00
10
11
10
00
00
00
10
00
00
00
00
11
10
01
11
10
10
00
10
10
10
00
10
01
10
00
00
11
10
01
10
01
01
00
11
00
10
10
10
01
00
00
11
01
11
01
00
11
10
00
00
01
10
10
11
00
11
11
00
00
01
10
00
00
11
10
01
11
00
11
00
10
10
10
00
01
00
11
10
01
10
10
00
00
10
00
00
10
10
10
01
00
11
10
11
11
00
00
10
11
01
11
11
10
00
10
10
10
10
01
01
10
00
00
01
00
00
11
00
10
11
10
00
11
00
10
10
01
00
10
00
10
00
11
11
00
11
11
10
10
00
01
10
00
00
11
00
00
00
10
00
11
11
00
10
10
00
10
11
01
01
11
01
10
11
00
11
01
10
10
10
01
01
10
00
10
11
00
00
10
10
00
10
10
01
00
10
00
00
00
01
10
10
00
01
10
10
10
00
10
00
01
01
11
11
00
11
10
00
01
11
00
00
10
10
11
11
00
01
11
11
00
01
11
10
00
10
00
00
10
11
10
01
01
10
01
00
01
10
11
00
01
10
10
11
00
00
11
10
10
10
01
00
01
00
00
00
10
11
10
11
11
01
10
00
00
10
10
00
00
00
10
10
10
10
11
11
00
10
01
10
10
00
00
00
10
10
00
10
10
01
00
11
01
10
10
00
10
01
10
11
11
00
10
00
10
00
01
10
00
10
10
10
10
10
01
01
11
10
11
11
10
01
00
01
10
10
11
10
01
01
01
11
01
01
00
00
00
00
10
10
01
01
11
10
00
10
00
00
10
00
00
11
11
00
10
00
00
11
10
10
00
10
10
01
00
10
11
00
10
00
11
00
01
00
10
00
00
00
00
11
10
00
00
01
11
00
00
10
10
10
00
10
10
01
10
10
10
00
11
10
11
10
00
01
00
11
10
00
10
01
10
01
10
00
01
11
10
01
01
10
10
00
10
00
00
10
11
10
11
00
10
00
11
00
00
00
11
10
00
00
10
01
00
01
01
01
11
01
10
11
00
00
10
10
00
00
00
10
10
00
10
01
10
10
00
10
10
01
10
10
10
00
00
10
10
01
01
10
11
00
01
11
10
10
00
00
00
01
11
11
11
10
00
10
00
00
11
11
00
01
11
10
01
10
01
10
01
00
10
00
00
10
11
01
00
11
11
10
10
00
10
00
10
11
00
01
00
11
11
01
01
10
10
00
11
10
10
00
01
11
00
00
00
11
11
00
00
01
00
10
11
01
01
00
10
10
10
11
01
10
11
11
00
01
00
10
11
10
00
00
10
11
10
10
00
00
10
10
01
01
11
00
00
11
10
10
01
00
10
10
10
00
01
10
10
01
00
11
01
00
10
10
10
11
01
00
10
11
00
00
00
01
10
11
01
10
10
11
00
10
10
01
10
00
00
00
10
00
00
10
10
00
10
01
01
10
10
10
10
00
10
00
00
10
11
10
11
10
10
10
00
00
00
00
10
01
00
10
10
10
00
10
10
10
11
00
01
00
11
01
11
11
01
01
10
10
00
01
11
10
00
00
10
11
11
01
10
10
00
10
00
01
11
10
01
10
10
10
10
00
00
00
11
10
00
10
10
10
00
01
00
00
10
11
00
11
11
01
01
10
11
00
00
10
10
00
00
11
10
00
10
10
10
10
11
01
00
00
00
10
00
10
10
00
10
01
00
10
00
01
00
11
01
01
11
01
10
00
11
11
00
00
00
10
01
00
11
10
10
01
10
10
00
11
10
10
11
00
10
10
11
00
01
00
10
10
11
10
11
10
00
10
11
01
11
10
01
10
10
01
00
10
10
00
10
00
00
01
01
00
10
00
11
11
10
00
00
11
00
10
01
10
01
10
11
01
00
11
10
00
00
11
01
01
00
10
10
00
10
00
00
11
11
00
10
00
00
11
00
00
10
10
11
00
01
11
00
00
00
11
00
00
01
00
01
11
11
10
10
11
11
01
00
00
10
11
10
00
11
10
10
10
00
10
11
00
00
10
11
10
10
11
00
00
10
00
00
10
10
10
00
10
01
00
10
00
10
11
10
11
00
00
10
00
10
01
00
11
00
11
10
11
10
00
11
11
11
00
10
10
10
01
00
00
10
01
11
01
00
11
11
01
00
00
11
10
01
01
11
10
10
00
00
10
10
10
01
10
01
00
11
10
10
11
00
00
10
01
01
10
10
00
10
00
00
00
00
11
01
11
10
11
00
00
10
10
11
00
00
10
10
00
01
11
00
00
01
10
10
10
00
10
00
00
10
00
01
00
11
10
10
10
10
10
00
10
01
00
11
10
11
10
00
10
11
00
01
10
10
00
11
00
01
00
01
01
10
11
11
11
10
10
00
00
11
10
01
00
10
10
10
11
00
00
10
00
10
00
11
00
11
10
11
01
00
10
10
11
00
10
00
10
10
01
10
00
10
11
01
00
10
11
01
10
00
10
10
00
00
01
11
00
10
00
00
11
11
10
00
11
00
10
00
00
00
10
10
01
00
00
00
10
10
01
10
10
00
11
11
10
11
00
00
10
11
01
11
00
00
10
10
00
10
11
00
10
10
11
01
10
00
01
00
01
01
10
10
11
00
00
01
00
00
01
00
10
00
00
00
11
01
10
10
00
11
10
10
00
00
00
00
11
10
10
01
00
01
11
00
00
11
10
00
10
10
11
10
10
10
10
10
01
10
11
00
10
01
00
01
10
10
00
00
00
10
11
00
00
11
10
00
10
00
10
11
00
01
10
11
11
10
01
11
10
11
10
00
01
01
10
01
10
10
00
00
00
10
11
00
10
11
00
10
10
11
00
10
11
10
11
11
00
01
10
10
00
10
11
10
11
01
01
01
00
01
00
10
01
01
11
10
01
00
00
11
00
10
10
00
11
00
10
10
11
10
00
01
11
01
00
10
10
01
00
01
11
10
11
00
01
01
10
01
10
11
00
01
10
01
11
10
10
11
10
00
00
11
01
01
00
00
11
10
11
01
10
11
00
01
01
11
11
10
00
00
00
01
01
00
10
00
00
10
01
10
00
00
11
00
11
11
10
01
00
00
11
11
01
00
10
11
00
00
10
10
01
00
00
00
10
10
10
00
00
01
00
11
00
00
00
11
00
00
01
10
10
01
00
11
00
11
10
10
01
00
00
10
00
01
11
00
00
10
10
11
00
10
10
00
00
11
00
11
10
00
00
00
00
11
00
10
11
00
11
10
01
01
10
00
00
10
10
10
00
10
10
10
00
00
01
10
11
00
00
01
10
01
00
01
00
10
10
10
10
10
00
00
01
00
00
00
11
10
00
00
10
00
00
10
10
00
00
11
00
10
11
11
01
00
01
10
00
00
11
01
00
10
11
10
00
10
10
10
00
00
10
10
01
00
10
01
10
00
01
10
00
11
10
11
10
10
10
10
11
00
10
10
00
10
10
00
00
11
10
01
00
11
00
01
10
10
10
00
00
10
11
00
10
10
00
00
10
01
00
01
00
10
11
00
10
10
00
01
01
11
00
01
10
01
01
01
10
10
10
01
00
10
11
00
10
01
10
11
10
00
00
10
11
11
00
11
00
11
00
10
00
00
10
10
00
00
01
00
10
00
11
00
10
10
10
10
01
00
10
10
00
10
00
10
10
00
00
00
00
01
00
11
00
10
00
10
00
11
00
00
10
00
00
10
01
10
01
00
01
11
10
10
11
00
00
11
00
01
10
11
01
01
10
11
00
01
10
10
00
01
00
10
10
00
00
01
10
10
00
01
00
10
11
00
10
10
01
11
10
00
10
10
01
10
10
01
10
10
01
10
10
10
10
00
00
00
01
01
10
00
11
00
00
10
11
10
11
00
00
11
00
11
00
10
10
00
01
00
00
11
00
01
11
10
00
00
00
10
00
10
11
10
10
10
00
10
01
10
01
00
01
00
00
10
01
00
10
10
10
11
01
00
11
10
00
10
10
00
01
00
10
10
10
10
10
01
00
10
11
00
10
11
01
01
10
10
10
11
10
10
00
00
10
10
00
10
11
00
10
00
10
01
00
10
01
10
10
01
11
10
10
00
00
00
11
10
00
10
00
10
10
01
10
10
00
00
00
00
10
10
10
10
00
10
11
00
01
11
10
10
01
00
00
10
10
11
00
11
10
01
01
01
01
11
10
01
10
10
10
01
01
11
01
01
01
10
11
11
11
00
00
10
10
01
00
00
11
00
11
00
00
10
10
10
00
10
11
11
10
01
10
10
11
11
10
00
11
10
00
00
10
10
00
00
11
10
01
10
11
00
00
10
01
00
10
00
10
01
10
11
00
10
00
00
10
10
10
00
10
11
10
11
10
11
11
11
00
01
00
11
11
01
00
10
00
01
01
10
00
00
00
00
10
10
10
00
01
01
01
10
00
11
01
00
11
11
10
10
00
00
00
10
10
00
00
10
11
00
00
00
10
01
00
10
10
10
10
11
00
10
10
10
00
00
10
00
00
10
11
10
00
01
10
00
10
00
01
01
11
10
10
00
00
11
00
01
01
01
10
00
10
11
10
00
10
10
01
11
00
00
00
11
11
00
10
00
10
00
10
10
00
01
10
11
01
10
10
10
00
00
10
10
00
01
10
10
00
01
00
01
10
11
10
00
10
11
10
00
00
00
00
00
00
10
01
00
11
11
01
11
00
10
10
00
10
00
01
10
00
00
10
00
01
10
10
01
01
10
00
01
00
00
01
00
10
00
01
11
00
10
00
11
01
11
10
01
00
10
11
11
10
11
10
00
00
10
10
00
00
00
00
01
00
01
10
00
00
10
10
10
10
11
00
00
10
01
00
10
11
00
00
11
10
10
01
00
10
11
00
11
10
01
10
01
01
00
10
11
00
00
00
11
00
00
01
11
10
11
10
11
00
00
10
00
00
11
10
00
01
01
10
10
10
11
10
10
01
01
01
00
01
00
10
10
11
01
01
00
00
10
11
01
10
01
00
00
10
11
11
10
01
00
10
00
10
11
01
00
10
11
00
01
11
01
01
10
01
00
11
11
00
00
10
00
10
11
00
00
10
10
00
01
10
10
00
11
01
10
11
00
00
00
10
00
10
00
10
10
10
11
00
11
00
11
10
00
10
00
01
10
00
00
10
10
00
01
00
00
10
10
00
11
00
00
10
00
01
00
10
10
00
10
10
10
10
00
00
00
00
01
01
10
00
10
10
00
10
10
00
01
01
00
11
10
10
10
11
00
01
10
10
10
11
10
10
11
01
00
11
10
00
01
00
11
10
11
10
11
00
00
01
11
10
00
11
00
10
10
01
11
00
00
01
11
00
00
11
10
00
10
01
00
10
01
10
01
01
01
11
10
11
01
01
11
00
00
10
11
00
10
10
10
10
01
00
00
10
00
00
01
10
10
10
10
10
11
01
10
01
00
00
10
00
01
01
10
10
10
00
00
00
00
11
10
11
11
11
01
11
01
00
01
00
10
01
11
10
01
00
10
11
11
10
00
10
11
10
10
00
00
10
00
00
11
10
00
01
11
00
01
10
01
00
10
11
10
00
00
10
10
10
10
00
10
01
00
00
10
00
00
11
00
11
10
00
10
11
01
00
00
10
00
01
10
11
10
00
11
11
10
01
10
01
00
01
10
10
01
01
10
11
00
00
00
00
00
11
00
01
00
10
00
00
10
10
10
00
11
00
10
10
00
10
11
00
00
10
10
10
00
01
10
10
01
10
00
10
10
11
00
01
10
10
00
00
00
10
10
01
00
10
10
01
01
11
00
11
10
00
11
11
01
00
00
10
11
01
11
10
01
00
11
00
10
00
00
10
11
11
01
01
10
00
00
10
11
01
01
11
11
00
01
11
01
01
01
10
11
01
11
10
01
00
11
10
00
00
10
01
10
10
01
11
00
10
00
00
00
11
01
10
10
11
11
00
01
10
10
00
00
00
10
01
01
10
10
10
01
00
10
10
10
00
01
00
00
00
01
01
01
10
00
00
00
01
11
10
01
00
10
00
01
11
01
11
10
01
01
11
10
00
01
10
10
00
00
10
11
01
10
11
00
01
10
10
11
00
00
10
01
01
00
10
10
00
10
10
01
01
10
10
01
11
11
10
00
10
10
10
01
00
10
10
01
10
11
00
10
10
10
01
00
10
01
00
00
11
11
10
11
00
00
11
10
01
00
00
10
00
00
01
01
10
10
11
00
11
01
00
00
10
10
10
01
00
10
10
10
00
00
11
01
11
00
11
11
00
01
00
10
11
10
00
11
00
01
10
00
10
01
11
00
00
00
00
10
10
01
00
00
11
10
00
00
01
00
00
10
10
01
00
01
10
00
00
01
01
11
11
00
11
00
00
00
01
10
11
10
10
10
01
11
00
00
01
10
00
00
11
10
11
10
00
10
00
00
10
11
10
01
00
01
01
10
00
10
01
01
00
10
10
01
10
10
10
10
10
00
00
10
10
10
01
11
11
00
00
00
01
10
10
00
10
11
00
10
10
10
00
00
01
10
11
10
00
11
10
10
00
00
10
10
01
00
11
00
00
11
10
10
00
00
01
11
11
10
10
00
01
00
01
01
11
01
10
10
11
00
01
01
10
10
00
11
10
00
01
00
01
11
11
11
00
01
11
01
00
00
10
10
11
11
10
01
00
10
10
10
00
10
01
01
01
00
00
00
10
10
10
00
00
01
11
00
10
00
00
00
10
11
10
00
10
01
10
00
11
10
11
00
01
00
10
10
00
10
10
01
00
00
10
10
00
00
00
00
00
10
11
10
00
00
10
10
01
10
10
10
00
00
00
10
10
01
00
00
00
00
10
01
00
10
11
00
01
00
11
11
00
01
01
01
10
01
11
01
00
00
01
10
11
01
00
11
11
11
00
10
00
01
10
10
11
10
00
01
10
00
10
10
00
10
01
10
11
11
00
10
10
01
10
00
01
00
10
01
10
00
00
01
10
10
00
01
01
10
10
00
00
10
00
01
10
10
00
11
11
10
00
00
01
01
00
01
10
11
00
00
10
10
00
10
01
00
10
10
11
00
00
00
00
11
10
10
01
11
00
00
00
10
00
11
10
10
00
00
11
10
00
00
10
10
00
10
01
10
10
10
00
10
00
10
10
00
00
10
00
00
10
10
01
10
01
11
11
00
01
11
10
10
01
01
11
11
01
00
10
00
10
11
01
01
10
10
00
10
11
11
11
11
01
01
00
00
01
01
10
11
00
00
00
11
00
11
00
00
01
11
01
11
01
01
00
00
01
11
11
00
10
10
11
10
00
10
01
01
10
10
01
00
10
00
01
10
10
01
10
11
00
01
11
00
11
10
10
01
00
00
10
10
00
10
11
11
00
10
00
01
01
11
10
10
00
00
00
10
01
11
00
00
10
11
00
11
01
00
10
10
11
10
00
00
00
11
11
10
00
01
10
00
00
00
01
11
00
10
10
10
10
10
11
11
11
00
10
11
11
00
10
01
01
11
00
10
01
01
01
00
10
10
00
01
10
10
00
10
10
01
00
11
10
00
10
00
00
10
10
00
00
01
10
00
01
10
01
10
01
00
00
11
11
10
01
00
11
01
10
10
00
10
10
01
01
00
01
01
00
11
00
11
10
00
01
10
00
01
00
00
10
11
00
00
10
10
01
00
00
10
00
00
11
11
00
11
10
10
00
00
10
01
11
10
00
01
00
10
00
11
11
10
00
10
10
10
10
00
10
10
10
01
01
10
00
00
00
01
10
01
00
11
10
10
10
00
11
10
00
01
00
00
00
10
11
10
10
01
00
01
10
11
00
10
01
11
10
00
10
11
00
00
00
10
10
01
10
00
10
11
11
10
01
00
00
00
11
00
01
11
00
01
10
10
11
00
01
10
10
00
01
10
01
00
11
10
10
01
00
00
10
00
01
00
11
00
10
00
00
10
11
00
00
10
11
00
10
00
00
00
00
00
00
11
10
00
00
10
11
10
00
11
00
00
00
00
00
00
10
10
00
01
10
00
00
01
01
10
11
01
01
00
00
00
11
00
00
01
11
10
10
01
10
00
00
11
00
11
10
11
11
00
01
01
10
10
01
00
01
00
10
11
00
00
00
00
10
10
10
00
11
10
01
10
10
00
11
10
10
00
00
10
00
00
00
00
00
11
00
10
01
00
11
01
11
00
10
10
10
00
00
11
11
10
00
00
11
11
00
01
11
00
10
01
00
01
00
10
01
10
10
10
11
00
01
10
10
01
00
01
01
00
11
10
10
00
01
10
10
10
00
10
00
01
00
01
11
10
10
00
10
00
10
10
01
10
11
10
11
11
00
10
10
10
01
01
10
00
00
11
00
01
10
10
01
10
01
00
00
10
01
10
10
01
00
11
10
11
01
10
10
11
00
00
11
10
00
00
10
11
00
00
11
00
00
10
11
11
00
00
10
10
00
10
00
00
10
11
00
11
00
00
10
10
00
00
10
10
10
10
00
00
00
00
00
11
00
10
00
00
11
10
00
10
10
10
00
11
11
00
10
10
10
10
10
00
00
00
10
11
10
00
00
10
00
00
01
10
11
01
10
00
01
00
11
10
00
11
10
00
00
00
11
10
00
01
11
00
00
10
11
00
10
01
00
00
10
10
00
10
00
10
00
10
00
11
11
00
00
00
00
10
10
11
10
00
11
00
01
01
01
10
11
00
11
00
11
11
00
00
00
00
10
10
00
00
11
00
01
00
10
11
00
00
10
10
00
00
11
10
00
10
11
10
01
01
10
00
00
00
11
01
00
10
10
01
00
10
00
11
11
10
01
10
00
01
10
10
10
11
01
11
10
01
10
11
01
11
10
01
00
01
01
10
00
10
00
00
01
00
10
10
00
10
10
01
01
00
10
10
11
10
01
00
10
00
00
01
10
01
00
10
10
00
10
10
00
00
01
01
10
10
11
01
10
00
00
11
00
01
10
00
00
11
00
00
10
11
00
00
10
00
10
10
10
10
00
11
10
10
01
01
10
10
11
00
10
01
10
11
10
00
00
10
10
10
10
11
00
10
00
01
10
00
00
01
10
00
01
11
00
00
00
01
10
01
00
10
10
01
10
01
00
00
00
01
11
11
10
00
11
01
01
10
00
10
01
10
00
10
10
00
01
10
11
00
00
10
01
10
01
10
11
00
00
01
10
01
00
11
10
00
00
01
00
11
00
00
10
10
00
10
00
01
00
01
10
00
10
00
00
00
10
11
11
10
11
00
01
11
00
11
00
00
10
01
01
01
10
01
10
10
10
00
01
10
00
01
11
01
00
10
10
11
10
00
11
10
00
00
10
10
00
00
10
10
10
11
10
00
10
01
10
10
10
01
11
00
00
10
10
11
01
10
10
00
01
00
01
10
10
01
10
00
11
10
01
10
10
11
10
10
01
11
10
00
11
00
00
00
00
11
01
00
00
01
11
11
01
01
00
00
10
10
10
11
00
01
10
10
01
11
00
11
10
00
00
00
00
10
11
00
11
10
11
00
00
10
11
11
10
11
00
00
10
00
01
00
01
11
10
00
00
10
10
10
00
10
10
00
00
10
10
00
00
10
10
00
00
10
10
01
00
10
10
00
10
00
01
01
11
10
01
00
01
11
10
00
01
01
10
10
00
00
10
00
00
10
10
00
01
11
10
00
00
10
10
00
01
10
01
11
10
00
10
11
01
10
10
11
00
00
10
10
11
00
01
01
01
10
10
00
00
00
10
10
01
01
10
11
00
00
10
10
00
00
10
11
10
10
01
10
00
01
00
10
10
00
11
01
00
01
00
00
10
10
10
00
11
10
00
10
00
00
11
00
00
10
11
10
01
00
00
10
10
01
10
00
00
11
10
00
10
10
00
00
00
11
10
00
01
10
10
10
10
10
00
10
00
00
10
01
11
01
01
00
00
10
00
00
10
00
00
10
00
11
10
10
00
01
10
00
10
01
00
10
10
00
00
10
00
10
10
11
11
11
10
10
11
11
11
10
00
01
11
10
00
11
11
10
00
01
10
11
00
00
10
10
10
01
00
00
11
01
10
01
11
10
00
01
11
00
10
01
00
11
10
01
11
01
10
10
10
01
01
10
11
00
10
00
00
00
10
00
10
00
01
00
10
10
01
00
10
10
00
00
10
10
00
10
10
11
00
10
11
01
00
00
11
10
00
10
11
00
10
10
00
01
11
10
00
10
01
10
10
01
10
10
00
11
01
00
10
10
01
10
00
00
10
01
11
00
01
11
11
10
00
00
01
10
10
11
00
10
11
10
10
00
10
00
10
11
00
10
10
10
01
00
10
11
01
10
00
10
01
01
11
00
11
00
10
00
00
10
10
00
00
10
00
11
00
01
10
11
10
10
00
10
01
00
00
00
01
00
11
10
01
00
10
00
11
10
10
00
00
00
00
01
10
01
11
11
10
00
10
10
01
01
10
01
00
10
11
11
10
00
10
00
00
00
10
10
10
10
10
00
11
00
01
10
01
10
00
10
10
11
10
11
01
10
10
10
01
01
00
11
00
11
10
00
01
01
10
11
10
00
10
01
11
00
01
10
10
11
00
11
00
00
10
11
00
01
00
10
11
00
00
11
00
01
00
11
11
00
01
00
11
10
10
11
01
00
00
11
10
10
10
01
10
10
00
01
10
00
00
00
11
10
11
00
00
10
10
10
10
01
10
01
00
00
10
00
00
11
00
01
00
00
10
11
00
10
00
00
01
00
11
10
10
10
11
10
00
10
10
10
11
10
11
00
00
11
00
11
01
00
10
00
11
11
10
00
00
11
00
10
11
01
00
10
01
00
10
10
01
11
10
00
11
10
00
01
11
11
00
10
01
00
00
00
10
10
10
00
00
10
10
10
01
10
01
00
01
10
10
10
10
01
01
00
11
10
11
11
00
11
00
10
11
00
00
10
00
01
00
11
00
00
10
00
10
10
00
00
11
11
00
10
10
10
00
00
10
01
10
00
11
10
00
11
00
10
01
11
01
00
00
00
10
01
00
11
10
00
10
10
10
01
00
11
00
10
00
10
10
10
10
01
01
10
00
00
01
01
10
10
11
11
00
10
00
00
00
10
10
00
00
00
11
00
00
00
11
10
00
00
11
10
10
11
00
10
01
00
10
00
00
10
11
00
01
01
00
11
01
00
10
01
00
01
00
10
11
10
00
00
10
00
00
11
10
00
10
01
00
10
10
00
11
10
00
01
10
11
01
01
00
01
00
10
00
01
11
10
00
00
10
11
10
11
00
11
10
11
00
10
00
00
11
10
10
01
01
11
10
00
10
11
00
10
10
10
01
10
01
10
10
01
00
11
01
00
10
10
10
00
00
11
10
00
00
11
00
10
00
10
11
00
00
00
01
11
10
01
00
01
11
10
01
00
00
10
10
10
10
01
01
11
01
10
00
00
00
00
00
01
10
01
11
00
01
10
10
10
11
10
00
11
10
11
01
00
10
10
10
00
01
11
01
10
10
11
00
01
00
00
10
01
11
11
01
00
00
10
00
01
10
10
10
00
10
10
10
01
00
00
10
10
01
00
10
01
10
10
00
00
11
11
10
00
00
10
10
00
00
11
11
01
01
11
01
00
11
11
00
10
10
00
11
10
11
00
10
01
00
10
10
11
00
10
10
10
11
00
01
11
10
01
00
10
00
00
10
10
10
00
10
11
11
00
00
10
10
00
01
01
10
00
10
01
10
10
01
00
11
10
01
11
11
01
01
10
10
10
00
00
11
11
00
10
10
00
11
00
00
10
10
10
00
10
11
00
10
11
10
00
00
01
00
00
00
00
00
10
00
10
10
00
00
01
10
00
10
10
00
00
11
11
11
10
10
10
00
00
10
10
01
01
00
10
01
00
01
00
10
01
11
11
00
01
11
00
00
10
00
01
00
00
10
10
11
11
10
10
10
10
00
10
10
00
00
10
11
00
11
10
10
10
00
11
00
10
11
00
00
00
00
01
00
01
11
01
00
10
10
01
01
10
01
01
11
10
00
10
10
10
00
11
01
00
10
01
10
11
00
00
00
01
10
10
10
10
10
10
00
00
11
10
01
10
10
01
10
11
11
10
10
10
10
00
00
11
10
10
10
11
00
10
11
01
10
10
01
00
11
00
00
11
10
11
10
10
00
00
11
10
11
00
00
10
10
00
00
11
10
10
10
01
11
00
11
00
00
10
11
00
00
10
10
11
00
00
01
10
00
00
00
10
01
00
10
01
00
11
00
10
11
11
01
11
00
00
00
01
01
10
11
00
01
10
01
11
00
00
10
10
01
00
10
10
00
10
11
10
01
10
11
11
10
01
11
11
00
10
00
10
00
00
11
10
10
10
01
10
10
01
10
10
00
00
01
11
10
11
10
00
00
00
10
10
10
01
01
11
01
00
10
00
10
11
11
10
01
10
00
00
00
00
10
10
01
11
00
00
00
10
00
11
00
11
00
10
10
00
10
10
01
00
11
00
01
11
11
10
11
00
00
00
10
00
01
10
11
01
10
00
01
00
10
10
01
01
00
10
01
00
00
10
00
01
01
10
10
11
10
11
10
00
10
01
01
10
11
01
00
00
01
11
01
00
10
00
00
00
10
00
00
11
11
00
11
10
10
10
10
10
01
00
10
01
00
01
00
01
00
11
00
00
11
10
10
00
11
00
00
01
10
00
00
00
11
11
00
10
01
00
10
00
00
10
11
01
01
00
01
10
00
10
10
01
00
00
11
10
00
10
00
00
11
10
10
11
10
10
00
00
10
01
00
00
01
11
00
10
01
01
01
00
10
00
11
10
01
00
11
10
01
10
10
00
10
00
00
01
01
11
01
10
10
01
11
11
00
00
10
10
11
01
00
10
00
00
00
01
10
10
10
00
01
00
10
10
00
00
00
00
00
01
10
10
10
00
10
10
10
10
11
00
00
11
10
00
01
01
10
11
00
01
10
00
10
10
01
00
10
01
10
10
10
00
01
01
01
10
01
10
10
00
00
11
11
01
00
01
00
01
11
10
10
00
11
10
00
01
11
00
10
10
01
01
00
10
11
00
11
00
00
10
10
10
01
00
10
00
00
00
00
10
11
11
01
10
10
01
00
10
10
00
01
10
11
10
00
00
00
00
00
10
11
10
00
11
11
00
00
11
10
01
10
00
10
10
01
00
10
10
10
10
11
00
00
11
00
00
10
10
11
01
00
10
00
00
10
10
10
11
00
10
11
10
00
00
10
01
11
00
10
10
00
10
00
10
10
00
10
11
01
01
10
00
00
01
10
10
10
00
10
01
10
01
10
11
10
00
00
10
00
01
11
01
10
10
10
10
11
10
00
00
00
11
10
11
10
10
00
00
10
00
11
10
10
10
00
10
00
10
11
00
00
00
00
10
10
00
10
00
01
11
10
00
00
00
00
10
11
01
10
01
00
11
00
00
10
10
01
10
00
01
00
01
10
11
11
00
11
11
01
10
10
10
10
10
10
01
01
01
10
10
10
00
00
11
00
10
11
11
00
10
00
00
01
00
11
01
00
00
00
10
00
10
10
10
00
10
10
10
11
10
11
00
11
10
00
00
10
10
00
10
00
01
10
10
11
11
00
10
00
10
10
10
11
01
01
10
11
00
00
11
10
11
00
00
10
11
00
10
10
01
10
10
11
00
11
10
00
10
01
01
10
01
00
00
11
00
01
11
01
01
11
00
10
00
01
10
11
00
10
00
11
00
00
01
10
01
11
10
00
00
00
01
11
10
10
10
00
00
10
00
10
10
01
10
10
10
10
01
00
11
11
11
00
11
10
01
10
10
00
00
10
10
00
00
00
10
00
00
00
00
10
00
10
01
00
00
00
10
00
10
00
01
01
11
10
10
10
10
10
11
10
00
10
10
11
00
00
00
00
00
00
10
11
10
00
00
01
00
00
10
10
00
10
10
01
01
10
01
10
00
10
00
00
11
11
00
01
00
11
10
11
10
01
00
10
10
00
01
11
10
01
10
10
00
11
00
01
11
10
11
01
00
00
00
00
10
01
00
10
00
11
10
00
11
10
01
00
10
10
11
01
10
11
01
11
10
11
00
00
00
10
11
11
00
11
10
00
10
11
11
00
00
10
10
00
11
01
00
10
11
10
11
11
01
11
00
11
00
10
10
10
10
00
01
01
10
10
10
00
10
10
11
01
00
10
11
10
01
00
11
00
10
00
10
10
00
00
10
10
00
00
10
10
10
11
00
00
10
00
10
11
01
10
00
00
10
01
00
10
00
00
00
11
10
10
00
01
01
00
10
11
10
01
00
01
10
01
00
10
11
11
11
00
00
10
10
01
00
00
10
01
00
01
10
00
11
00
11
11
00
00
00
01
01
00
10
10
10
00
00
00
00
11
11
01
11
01
11
11
00
10
11
01
01
10
10
01
10
00
10
00
01
11
11
10
00
00
10
11
10
10
00
00
00
10
11
10
11
11
01
01
11
00
00
10
10
10
00
00
10
01
10
11
00
00
00
10
00
10
10
01
01
11
10
11
00
00
00
00
10
10
00
00
00
00
10
10
01
00
00
10
00
01
00
10
10
10
10
10
10
00
10
10
00
11
00
11
10
11
00
10
10
00
01
10
01
00
11
00
11
00
11
00
10
11
00
10
10
10
00
11
11
00
11
00
10
11
10
11
00
00
00
10
11
00
11
10
10
00
00
01
10
10
11
10
00
01
00
11
01
11
10
00
00
10
10
11
01
01
10
00
10
10
10
10
01
01
10
00
10
11
11
01
00
11
10
11
00
00
11
10
10
00
10
11
11
01
00
00
00
00
00
00
11
11
11
11
00
00
00
11
10
10
00
00
00
01
00
11
11
11
10
00
10
11
01
00
10
11
10
10
11
00
10
00
01
00
01
10
10
10
01
01
11
11
10
10
00
00
10
10
00
11
10
01
00
00
10
00
00
10
00
00
00
01
10
01
10
10
10
01
00
11
00
00
00
10
00
10
11
00
11
01
11
00
11
10
00
01
11
10
00
01
10
00
00
10
11
11
01
01
00
10
11
11
00
00
10
10
00
11
11
11
10
11
10
01
00
10
00
00
00
11
10
00
00
10
00
10
00
00
10
00
11
11
11
00
00
11
00
01
00
01
10
10
01
10
10
01
10
11
00
00
11
10
10
10
01
00
00
10
00
00
01
01
10
01
01
10
00
00
10
00
00
10
00
00
10
10
10
11
00
10
01
10
11
01
01
10
00
00
00
10
10
00
01
11
01
00
10
00
10
11
00
00
10
10
00
10
10
00
01
01
10
10
01
10
10
00
00
00
01
10
10
00
00
11
11
01
00
00
10
01
10
00
00
01
00
11
11
10
11
10
00
10
01
00
00
11
10
10
00
10
11
10
01
00
11
10
11
00
10
01
10
00
00
10
01
01
11
10
10
00
00
00
10
10
01
01
10
10
00
00
00
01
10
10
00
00
01
10
10
01
01
00
01
00
10
10
01
00
00
00
10
10
10
01
00
10
11
10
11
10
10
10
00
00
11
01
01
10
10
10
10
11
10
10
00
00
10
11
00
00
00
00
00
10
00
00
10
10
00
00
10
11
01
11
10
00
11
00
10
10
00
01
01
11
01
01
00
00
01
10
01
01
10
10
10
10
01
10
00
00
00
01
01
10
10
11
10
00
00
00
10
11
01
00
01
10
00
10
00
11
00
01
11
11
11
10
00
10
01
11
10
01
00
01
10
10
00
01
00
10
10
00
00
00
11
10
10
01
10
10
00
00
00
10
11
10
11
01
00
00
00
01
01
10
10
10
00
00
00
10
10
00
00
00
00
10
11
00
00
00
00
00
11
00
01
10
01
10
00
11
10
01
00
00
11
10
00
00
10
11
00
10
10
10
10
10
10
00
01
10
11
00
10
11
11
10
00
00
11
10
11
01
01
11
00
00
10
00
10
10
01
11
10
10
11
00
00
01
11
10
11
01
01
00
01
01
10
11
00
00
10
11
01
10
10
00
10
10
10
11
00
00
11
11
00
00
01
01
10
11
10
00
01
10
01
10
00
01
10
10
10
00
01
00
01
00
00
00
10
00
01
00
11
11
10
00
10
00
00
10
00
10
10
00
10
10
00
10
11
00
00
10
00
10
01
11
10
11
11
10
11
10
00
10
11
01
10
01
01
10
00
10
10
00
01
00
00
01
00
10
10
00
10
10
00
10
10
10
01
10
11
01
00
10
00
10
10
01
00
01
01
10
11
11
10
10
01
00
11
00
01
11
01
11
00
00
00
00
10
11
10
10
10
10
10
01
01
11
00
00
10
10
00
00
11
01
10
01
00
11
10
10
01
10
10
00
00
10
10
11
00
11
00
10
11
01
00
11
10
10
01
00
10
00
01
10
01
10
00
10
10
00
00
10
11
00
11
10
11
00
01
01
11
00
00
00
11
10
10
00
01
00
01
01
10
11
00
01
10
00
01
10
10
00
10
10
10
01
11
10
11
00
11
00
00
10
00
10
11
10
00
10
11
01
00
01
00
10
01
10
11
00
00
10
10
01
00
10
10
11
10
00
00
00
10
11
11
10
10
10
00
10
10
10
10
01
00
10
00
00
11
10
11
00
00
00
10
01
01
10
10
11
00
10
01
00
10
11
00
00
00
11
00
00
10
00
00
00
00
00
01
10
11
11
11
10
11
00
10
10
11
00
00
01
10
10
10
10
00
00
11
00
11
11
11
10
10
10
11
00
00
11
00
10
00
10
01
01
10
11
10
00
10
00
11
10
10
00
11
10
00
00
10
00
01
10
10
00
10
11
01
11
00
11
10
10
00
00
10
11
10
00
11
01
00
00
10
00
00
00
01
10
00
01
10
01
10
00
11
00
00
10
10
00
10
00
01
11
10
11
10
01
01
10
10
10
01
01
10
10
00
10
10
01
01
11
00
00
00
00
10
00
00
10
11
10
10
00
00
00
10
10
10
11
01
10
00
10
00
00
10
01
00
01
10
10
00
10
11
11
11
00
11
00
01
10
01
10
10
01
01
01
10
11
10
11
11
00
10
10
00
01
00
10
10
11
00
00
00
10
10
11
11
00
10
10
10
10
00
00
10
11
01
00
00
10
00
10
11
01
10
00
00
01
01
10
01
01
10
00
10
10
00
10
10
00
01
10
01
00
00
10
10
01
01
00
10
10
10
00
10
00
01
11
01
00
01
10
01
00
01
01
11
00
10
00
00
00
10
11
01
00
10
10
01
10
01
01
10
10
11
10
00
01
10
00
00
10
00
00
10
10
00
10
10
01
11
01
11
11
01
10
10
10
00
01
10
00
10
10
01
01
01
11
00
10
10
10
00
00
10
11
01
11
00
00
01
10
10
00
00
11
00
01
10
10
00
10
00
11
00
00
10
11
00
11
00
10
10
00
00
11
10
00
00
11
11
10
10
01
00
10
10
11
01
10
00
00
10
00
10
10
01
01
10
00
00
00
01
11
00
10
00
01
01
11
00
10
00
11
01
00
11
00
00
00
10
10
11
00
00
10
10
11
01
10
01
00
11
01
11
10
00
00
10
11
10
00
00
10
10
10
10
00
01
10
10
00
11
00
10
11
00
10
11
10
00
00
10
00
11
10
10
00
00
01
11
11
10
01
00
01
00
11
01
00
10
10
11
00
10
11
11
10
00
10
00
10
11
10
01
10
00
01
10
11
10
00
01
10
10
10
00
11
10
10
00
01
01
10
10
01
10
10
10
10
01
01
01
00
10
10
10
00
00
10
11
10
10
00
01
00
00
11
10
01
01
11
00
01
11
11
10
00
11
11
10
10
00
10
10
01
01
01
01
00
00
10
00
10
11
01
01
00
00
10
00
00
10
10
00
00
10
11
01
01
10
10
11
10
00
00
10
10
11
00
00
10
10
00
10
11
00
11
10
11
01
00
11
10
10
10
01
00
11
00
11
10
01
10
11
00
11
10
01
11
10
11
01
10
00
00
10
00
00
10
00
10
11
00
00
11
10
01
00
10
10
00
10
01
10
10
10
10
00
00
01
00
00
01
10
10
10
00
00
01
00
10
00
00
00
00
00
10
10
00
11
11
00
11
11
00
11
00
00
00
11
11
00
01
10
11
00
00
10
10
00
00
00
11
11
00
00
00
11
10
00
00
11
01
00
10
00
00
11
01
11
10
00
00
10
10
00
01
10
01
10
11
10
10
00
00
11
00
10
10
10
00
11
01
01
00
10
10
11
00
01
01
11
10
01
11
10
10
01
10
10
11
10
11
00
00
00
01
01
01
01
10
11
10
11
11
00
00
10
00
00
10
00
11
11
10
00
00
10
10
00
01
10
10
00
10
00
00
00
10
10
10
11
01
00
00
00
01
01
00
10
10
10
11
00
10
10
01
10
01
01
10
11
00
10
00
00
11
10
00
00
00
10
10
10
00
11
11
00
11
11
10
10
01
00
01
11
10
11
00
01
00
11
11
10
01
00
00
10
11
00
11
10
11
00
00
10
11
10
01
11
11
11
10
10
10
11
00
10
11
01
01
10
11
11
11
10
10
01
01
10
11
10
00
10
00
11
00
00
10
10
01
00
01
00
10
11
00
00
10
10
01
10
01
10
01
10
10
10
00
01
10
10
00
01
11
10
10
00
10
00
10
10
00
00
10
10
11
10
11
01
10
00
01
11
00
01
10
11
00
11
00
00
10
10
00
11
00
00
00
10
10
10
00
00
10
00
11
00
00
10
10
00
10
11
10
00
00
00
00
10
01
10
11
01
00
10
11
00
00
10
10
01
01
10
10
00
01
00
00
11
01
10
10
10
10
10
00
00
00
00
10
10
10
11
10
11
11
11
01
00
11
10
10
11
00
00
01
10
10
11
10
00
10
10
00
10
10
00
01
00
10
10
01
01
00
01
00
01
00
01
00
01
11
11
01
01
11
10
00
10
00
00
00
00
10
01
00
00
11
11
00
00
00
11
01
00
10
10
01
10
10
00
01
00
10
11
10
11
01
00
00
01
01
10
01
01
10
10
10
01
10
10
00
00
00
11
10
10
10
00
01
00
00
11
10
10
00
01
10
11
00
00
11
00
10
10
00
10
10
00
10
10
00
10
01
10
00
01
00
10
10
00
00
00
10
11
10
10
00
00
10
10
00
01
10
00
10
00
11
00
10
11
00
11
00
11
00
00
11
01
01
10
10
10
11
00
00
11
10
01
00
10
10
10
00
10
00
01
10
00
00
10
00
00
01
10
00
01
10
11
10
00
00
11
11
01
00
11
10
10
10
01
00
11
11
10
01
00
11
10
11
00
10
11
00
00
10
10
00
00
00
10
10
00
11
10
10
00
00
10
00
10
11
11
10
00
11
10
10
10
00
00
10
11
01
00
11
00
10
00
10
01
00
10
10
01
01
00
11
10
10
10
00
01
10
11
01
01
00
01
01
10
11
00
10
10
00
11
10
00
00
10
00
10
11
10
10
01
00
10
00
11
10
10
10
01
10
10
00
10
10
00
10
10
10
00
00
01
00
00
00
00
01
10
11
01
00
00
11
00
00
11
11
10
00
11
11
01
00
10
10
01
11
11
00
01
01
11
00
00
11
11
00
00
10
11
01
00
10
11
00
11
10
00
00
10
00
01
00
11
00
00
11
00
00
10
11
00
00
00
10
10
01
10
00
10
01
00
10
11
11
00
00
01
00
10
00
11
10
00
11
10
00
10
10
00
00
10
10
00
11
00
00
10
00
11
10
11
01
10
00
00
10
11
10
00
00
00
10
11
11
10
00
01
10
10
00
00
10
11
10
00
11
11
00
10
00
11
00
01
11
00
01
10
00
11
01
11
00
00
10
01
00
11
10
01
10
01
10
00
00
10
00
11
11
00
11
00
00
10
00
01
10
00
00
11
01
00
10
10
01
01
01
01
11
11
01
11
10
00
01
11
01
00
10
10
01
10
10
00
01
00
01
11
10
11
10
10
00
11
10
01
10
11
10
11
00
10
10
00
10
11
10
01
00
10
10
10
10
00
10
11
00
01
10
00
10
11
10
00
10
10
11
01
01
01
10
11
11
00
00
10
11
11
00
00
11
10
01
11
10
01
01
10
01
00
10
10
10
00
10
10
01
11
11
10
00
10
10
01
11
11
00
10
00
10
10
10
10
00
11
10
10
00
00
11
11
10
00
11
01
00
10
11
00
00
01
10
11
01
00
10
10
00
00
11
11
00
00
10
00
10
01
00
10
00
00
10
01
11
00
11
00
10
10
10
10
11
00
11
01
00
10
00
01
00
00
10
01
00
00
10
10
10
11
00
10
10
10
00
10
10
00
00
10
00
10
01
10
00
00
01
00
10
00
00
00
10
01
01
10
10
00
01
00
01
10
01
01
00
01
01
00
10
00
00
10
01
11
10
10
00
10
11
00
00
10
10
10
10
11
10
10
00
01
10
11
11
00
01
10
00
00
00
10
01
00
10
00
10
10
00
10
00
10
10
00
10
00
10
00
10
10
00
10
01
00
10
01
00
01
01
00
10
00
10
10
00
00
00
11
00
01
10
11
10
10
01
01
10
10
01
00
01
10
01
01
10
00
11
00
10
00
00
00
10
11
10
10
00
01
00
00
11
11
01
00
11
01
01
10
11
00
10
10
00
10
10
10
00
01
11
11
01
10
01
10
10
10
00
01
00
10
10
00
00
01
00
10
11
01
11
00
11
00
00
01
11
01
01
00
11
00
01
10
10
10
01
01
10
10
00
00
10
11
10
00
00
00
00
10
11
00
00
11
00
11
10
10
00
01
11
00
01
10
10
10
11
00
10
11
00
00
00
11
10
11
00
00
11
11
10
11
01
00
10
10
00
01
00
11
10
00
00
00
00
11
01
01
10
00
00
00
10
11
01
11
10
00
10
10
11
00
01
11
10
10
11
00
00
10
11
11
10
00
00
00
11
11
00
00
00
10
11
10
11
11
00
00
00
00
10
00
01
00
00
01
00
10
01
10
00
00
11
00
10
00
10
10
00
00
01
00
01
11
01
11
00
00
11
10
00
11
10
10
10
10
00
10
00
00
11
00
00
10
01
10
00
10
11
10
10
10
10
01
00
00
00
11
10
00
01
11
00
10
00
01
00
00
01
10
10
11
00
00
11
10
00
11
01
11
11
00
00
00
00
00
00
11
10
00
10
00
10
01
00
10
00
10
11
10
10
10
01
00
10
01
11
00
10
00
00
11
10
01
00
10
00
10
10
10
00
00
01
01
00
11
10
01
01
00
10
10
00
01
11
01
00
01
00
01
10
10
00
00
10
11
10
10
01
00
01
11
00
00
00
11
01
10
11
01
11
10
00
00
10
10
01
00
10
10
11
01
11
11
11
10
01
11
01
01
10
10
00
00
01
00
01
11
10
01
11
00
10
01
01
10
11
10
00
00
01
10
01
00
10
00
00
11
10
01
00
10
10
00
10
00
10
11
10
11
00
00
10
00
11
10
10
00
00
00
00
00
00
11
00
11
00
10
01
10
01
10
10
10
11
00
10
11
01
00
00
01
00
11
00
11
10
11
10
10
10
00
00
10
10
01
11
10
01
10
10
00
10
10
00
00
00
01
11
00
11
11
11
01
00
11
11
01
11
10
00
00
10
10
11
00
00
01
10
10
01
11
00
01
10
00
11
10
00
01
00
11
01
10
10
10
00
01
10
10
10
01
01
00
01
10
11
00
01
11
00
00
10
00
00
00
10
10
11
11
10
10
10
01
10
11
00
11
11
10
11
10
11
00
00
00
10
10
01
11
11
11
10
11
10
10
01
01
10
00
00
11
11
00
00
10
10
00
01
00
01
10
10
01
10
11
10
00
00
10
00
01
11
01
11
11
01
00
10
11
01
10
11
00
00
00
00
10
11
00
00
00
10
01
00
10
01
10
00
10
10
00
00
11
11
00
00
00
10
10
10
00
10
01
10
01
11
00
00
10
11
01
01
10
10
00
00
11
10
00
00
11
01
10
01
00
10
01
10
11
10
00
00
00
10
00
00
11
10
11
00
11
10
00
10
00
10
10
00
01
10
00
10
10
10
01
10
11
01
00
10
10
01
11
00
01
11
01
00
10
10
01
10
10
01
01
00
10
00
10
01
11
01
01
00
01
10
10
11
00
11
10
10
10
00
11
10
00
00
00
10
11
11
00
11
10
11
00
11
10
00
01
10
11
11
00
00
10
11
00
00
10
10
10
00
00
00
10
10
00
10
01
11
00
01
01
01
00
11
11
00
11
10
10
00
00
00
01
10
10
00
00
00
10
10
10
11
10
10
10
10
00
01
10
00
11
01
01
11
11
10
11
10
10
00
01
11
10
00
00
11
10
00
11
00
00
11
00
01
00
01
00
00
10
11
00
00
00
10
01
00
11
00
10
01
10
00
00
11
11
00
10
00
10
10
00
10
00
11
01
11
00
01
00
11
10
11
11
00
00
00
00
10
10
10
10
11
10
01
01
01
00
10
00
10
01
01
00
00
00
10
10
00
10
11
01
01
10
00
11
10
10
00
00
10
11
00
01
10
11
00
00
10
10
00
00
10
00
10
11
10
10
01
10
10
10
01
01
00
00
01
11
00
11
10
00
11
10
00
10
10
00
00
10
10
10
10
01
01
10
10
00
11
00
11
01
11
00
00
00
01
10
10
00
00
10
10
00
01
10
10
00
01
00
11
00
11
10
11
01
11
11
00
00
11
10
01
00
11
01
10
00
01
10
10
01
00
10
10
00
00
11
00
00
01
11
11
11
11
00
10
00
10
10
01
00
10
00
00
11
01
10
10
10
01
11
10
00
10
11
10
11
00
11
00
01
00
10
01
00
10
10
11
00
01
11
00
01
10
01
10
10
01
00
11
11
11
10
10
01
10
00
00
10
10
00
10
00
10
10
10
00
00
10
10
01
01
11
10
01
00
10
00
01
10
11
10
10
01
10
01
01
00
10
10
00
10
11
00
01
10
10
11
11
10
11
10
00
01
00
10
11
11
10
00
00
00
10
00
10
11
00
00
00
11
00
10
00
01
01
00
11
10
10
10
00
01
00
10
00
10
10
01
00
10
00
00
10
10
10
00
00
10
10
00
10
00
11
10
10
11
01
00
11
10
00
00
00
10
00
11
10
10
00
00
01
00
11
00
11
11
00
00
00
10
10
11
01
10
10
10
10
00
00
00
10
00
00
10
10
01
10
11
01
01
11
11
10
00
00
10
11
00
00
10
10
00
00
00
00
11
10
10
00
00
10
01
00
11
10
10
10
01
01
00
00
11
01
10
01
00
10
10
10
00
10
10
01
00
11
00
01
00
00
10
10
00
10
10
10
00
10
01
00
00
10
00
01
11
01
10
10
00
00
10
10
00
00
01
10
11
00
11
10
10
00
00
00
11
00
00
10
00
01
00
01
01
01
00
10
10
10
10
10
10
00
10
10
10
10
00
00
01
11
11
11
10
00
00
10
10
11
11
01
01
01
01
11
10
00
00
11
11
00
00
10
01
00
11
01
00
11
00
10
01
10
11
11
00
00
11
00
01
01
11
10
11
00
10
10
00
10
11
10
00
00
00
10
00
10
10
10
11
00
00
10
11
01
11
10
00
00
00
10
00
00
11
01
01
00
01
10
11
00
11
11
00
00
10
11
00
00
10
00
01
10
11
10
00
00
10
01
10
10
00
00
11
11
00
10
11
00
01
00
01
01
01
11
01
00
11
10
00
10
10
11
00
00
10
10
10
01
00
11
01
11
11
00
00
01
10
10
11
01
01
10
10
10
00
01
10
00
00
01
10
10
10
00
00
10
00
10
11
11
00
11
10
10
00
10
00
10
10
01
10
00
11
00
10
00
10
10
10
10
01
00
10
00
00
10
00
10
10
10
00
00
00
00
00
00
10
11
01
10
10
10
10
00
00
01
10
10
01
10
00
00
01
10
00
00
10
00
10
00
01
10
11
11
00
11
01
11
00
11
01
01
01
11
10
00
10
10
10
00
01
00
11
10
00
11
00
10
01
10
11
00
00
00
10
10
11
00
10
10
00
00
10
01
00
01
11
01
01
00
11
10
00
11
11
00
00
01
10
01
00
00
00
10
00
10
01
00
00
10
10
10
10
00
10
11
11
11
10
11
01
00
01
10
11
00
00
00
10
10
00
00
10
11
11
00
11
11
00
11
10
10
00
00
10
00
10
11
01
11
01
01
10
00
00
10
00
00
10
10
01
01
11
10
00
10
10
10
11
00
00
11
11
00
10
01
00
10
00
10
00
00
00
00
00
01
00
00
10
10
11
00
00
11
01
00
01
00
10
00
01
10
10
00
00
00
10
01
00
11
10
00
10
00
00
00
01
11
01
01
01
10
11
11
11
00
01
00
00
10
10
10
00
00
11
00
10
00
00
11
00
00
11
10
01
00
00
10
00
00
01
10
10
01
00
01
01
00
10
10
01
00
00
10
11
10
11
00
00
00
11
10
00
00
10
01
10
10
10
10
00
00
01
11
01
10
11
00
00
00
00
00
10
10
01
11
00
00
10
00
00
11
00
00
01
10
00
00
10
00
01
11
01
10
00
00
00
10
10
01
01
10
10
10
10
10
00
00
11
10
01
01
10
10
01
01
00
01
01
10
11
10
10
10
11
01
11
10
01
01
10
10
00
10
10
00
00
00
00
10
00
10
01
00
10
10
00
10
01
00
00
00
11
00
10
00
11
00
00
10
11
10
00
00
10
10
01
11
00
01
00
00
10
00
01
10
11
00
10
01
11
00
11
10
01
10
00
10
00
01
10
10
01
01
10
10
01
01
01
10
11
10
10
00
10
00
00
00
10
11
00
10
10
01
10
00
11
10
00
00
10
10
11
00
00
00
10
00
00
00
10
10
10
11
11
00
10
00
00
11
01
00
01
10
10
10
01
00
10
00
10
00
00
00
10
10
11
10
00
00
00
11
01
00
10
10
01
10
10
10
11
00
10
00
11
01
11
10
11
11
00
10
11
10
00
01
11
00
11
00
00
10
10
00
00
10
10
10
10
01
11
00
01
10
00
00
11
01
10
11
11
00
01
01
01
11
11
01
10
10
01
10
10
00
00
00
10
01
10
01
01
11
10
10
01
11
01
00
10
10
00
00
10
10
00
00
00
11
01
11
11
00
11
00
10
11
00
00
10
10
10
00
00
00
00
10
00
00
01
10
00
10
01
00
00
00
10
00
00
00
11
00
00
10
11
00
10
00
00
00
11
11
01
01
00
01
10
00
00
01
00
10
10
01
10
10
00
00
11
11
00
00
11
10
01
10
10
11
11
01
11
00
00
01
00
10
00
00
10
11
00
00
11
00
01
00
01
11
10
01
00
10
11
10
00
01
00
10
00
11
01
00
00
10
00
00
10
11
11
11
00
10
10
01
10
11
01
00
00
10
11
00
01
10
01
00
10
11
10
10
00
11
11
00
00
00
11
00
01
01
00
10
10
10
11
10
01
10
00
01
00
10
10
00
11
10
11
11
10
10
10
00
00
00
01
00
10
00
10
11
10
01
01
00
00
01
00
00
10
10
10
10
00
11
00
10
10
10
10
00
01
00
01
10
11
01
10
00
10
10
00
10
00
10
01
11
01
01
00
10
00
00
11
10
00
00
10
10
00
10
01
10
10
11
00
00
00
00
10
10
11
01
10
00
01
10
00
10
01
10
10
00
10
10
01
10
11
10
10
10
00
10
00
10
11
01
00
00
00
11
10
11
01
00
11
10
10
10
11
01
00
11
00
01
00
11
10
01
00
10
10
10
01
00
01
10
10
11
11
00
01
00
10
10
01
11
11
11
00
00
00
10
10
01
00
11
11
10
10
00
00
01
11
00
00
01
10
11
00
00
11
10
11
10
10
00
11
01
00
00
10
11
00
00
10
10
00
00
11
10
10
00
00
00
10
11
00
10
11
11
00
10
10
00
00
10
00
00
10
01
10
01
11
01
00
11
10
11
01
01
11
11
10
11
01
11
00
10
10
01
01
11
10
00
01
11
10
11
11
00
00
01
10
01
11
10
00
01
10
10
01
11
01
10
10
10
00
00
00
10
10
10
00
11
10
10
10
01
10
10
00
00
00
01
11
00
01
11
10
00
10
10
00
00
10
00
11
01
00
00
00
10
11
00
10
10
01
01
01
01
01
11
10
00
01
00
11
10
11
00
00
10
10
10
10
00
01
10
01
10
00
10
01
00
01
01
10
10
01
10
10
01
00
00
10
01
10
01
01
10
10
10
11
00
00
10
00
01
00
00
10
00
11
00
10
10
10
00
00
10
00
00
10
01
00
00
11
00
00
10
00
11
01
10
00
10
10
00
01
00
01
00
11
01
01
10
10
10
00
00
10
00
00
01
10
10
11
00
11
00
00
11
11
11
01
01
11
11
11
00
01
10
11
10
00
00
00
10
10
10
01
01
11
11
00
00
10
10
10
01
00
11
10
01
00
00
01
00
10
00
00
10
10
00
00
00
11
10
01
10
00
10
00
10
11
00
01
10
11
10
00
00
00
00
10
10
01
10
00
10
10
00
00
10
10
00
01
10
01
10
01
01
10
01
00
00
11
10
00
00
00
10
10
01
00
10
10
00
00
11
01
00
01
10
00
00
01
00
10
10
00
10
11
00
10
00
00
10
01
01
00
10
10
00
11
00
11
10
10
00
00
01
10
10
00
10
00
00
10
11
00
11
01
01
11
00
00
00
00
10
11
10
00
10
11
00
10
00
00
11
10
00
10
00
01
01
01
11
00
11
00
10
11
01
11
10
00
00
10
11
10
10
01
00
11
00
01
10
01
00
01
11
00
00
00
01
10
11
10
11
01
01
00
01
10
10
01
01
10
11
11
00
01
10
00
00
10
00
00
10
11
11
10
00
11
01
11
10
00
00
11
10
10
01
00
00
10
00
10
10
00
01
10
01
10
10
00
01
10
10
00
00
10
10
01
10
10
10
11
10
01
10
01
00
11
01
00
00
10
01
01
11
11
10
00
10
01
00
10
01
00
11
00
10
01
10
10
00
10
10
01
10
10
11
00
01
10
11
10
00
00
00
01
11
01
01
01
01
00
00
01
00
10
10
10
00
01
11
00
01
01
01
10
00
10
10
00
00
00
11
01
00
10
00
10
01
10
10
00
00
01
01
00
11
10
01
00
00
10
11
01
00
00
01
10
00
01
00
01
00
00
01
10
11
11
00
00
11
00
10
10
00
00
10
10
00
00
10
00
01
00
01
00
10
10
10
00
00
11
10
11
11
01
00
11
01
10
00
10
00
00
11
11
10
01
00
10
01
00
11
01
11
10
11
11
10
11
01
11
00
00
11
00
00
10
00
01
10
10
00
10
10
11
10
11
11
11
11
10
11
01
01
00
01
11
10
00
11
11
10
10
01
00
10
00
11
10
00
11
00
10
00
00
01
10
11
01
10
11
00
01
10
10
00
01
10
11
00
00
10
01
00
10
00
10
01
10
01
10
10
10
00
11
10
00
00
00
01
10
01
00
00
11
10
00
10
00
10
00
10
10
11
10
00
11
01
00
00
10
00
01
00
11
01
00
00
10
11
00
11
10
01
10
00
00
10
10
10
01
00
11
01
00
10
00
10
00
00
10
00
00
10
01
10
00
10
11
00
01
00
10
10
01
11
11
01
01
01
10
10
00
11
10
00
10
01
00
10
01
10
01
01
01
11
10
01
00
01
10
10
00
11
11
11
10
00
10
10
00
10
11
01
00
10
11
01
00
11
10
00
10
10
11
01
10
01
10
10
10
10
01
10
11
00
01
11
01
11
10
01
01
11
11
00
00
10
11
00
01
11
10
10
10
11
00
11
10
11
10
10
00
00
10
10
00
00
10
10
10
10
10
01
10
00
10
10
01
11
00
10
10
01
10
10
10
00
11
10
00
00
11
10
11
10
00
01
00
10
00
10
00
10
00
10
00
00
10
00
00
00
10
11
10
00
11
10
10
11
00
00
01
11
11
01
10
00
00
11
11
10
00
00
10
00
00
11
11
01
00
00
00
10
01
00
10
11
00
01
00
10
00
11
00
10
10
00
10
00
01
10
00
00
11
11
11
01
10
10
00
00
10
11
00
10
10
10
11
10
10
01
01
10
10
00
10
10
01
11
10
00
01
01
10
10
00
01
01
10
10
11
00
01
01
00
01
00
00
00
10
10
00
01
10
10
10
00
00
10
10
00
10
00
01
11
00
00
10
10
00
11
00
00
00
10
01
00
10
11
00
10
11
01
10
01
00
11
11
10
10
00
00
10
01
00
01
10
00
01
11
11
10
10
00
00
10
01
00
11
10
00
01
00
00
10
10
01
00
11
11
11
01
10
10
00
01
10
10
11
01
10
01
10
10
10
00
01
00
11
11
10
10
00
00
00
11
11
11
10
11
10
00
11
01
10
11
00
00
00
10
01
00
01
10
10
01
00
11
00
00
11
01
01
11
10
00
01
10
10
01
01
10
10
10
00
10
10
01
11
10
00
11
00
11
01
00
11
10
00
10
10
00
00
00
11
00
01
10
10
01
11
10
01
10
10
11
00
00
11
01
00
00
01
10
00
11
10
00
01
10
01
11
01
00
10
10
10
10
00
11
10
10
10
10
01
00
10
00
10
10
11
00
10
01
10
10
10
11
00
11
00
00
10
10
10
00
10
10
00
01
01
01
00
11
11
01
10
00
00
10
10
00
10
10
00
00
10
00
10
10
10
01
00
11
00
11
10
00
01
10
00
01
00
10
10
01
00
11
00
01
10
00
00
10
11
11
01
01
01
00
00
01
10
00
01
11
10
00
01
11
10
00
01
00
10
10
00
01
00
10
10
10
00
01
10
01
10
11
00
10
10
00
10
10
01
10
11
00
10
00
10
00
01
00
10
11
11
00
11
00
00
00
00
00
11
00
01
01
10
11
10
11
10
10
00
00
11
10
01
00
10
01
00
00
10
00
00
10
00
10
10
00
10
11
00
01
00
11
10
10
01
01
10
11
10
00
00
10
10
10
00
10
11
10
00
00
00
01
10
01
00
10
01
10
01
00
01
10
00
10
01
01
10
01
01
00
11
00
00
10
10
00
10
10
00
00
10
00
11
10
00
01
11
00
10
00
01
00
10
10
01
11
10
00
01
00
00
10
11
00
11
10
11
10
01
01
11
10
00
10
11
01
00
10
00
10
01
01
10
10
00
00
10
01
00
11
10
10
10
10
11
01
01
10
10
01
00
01
01
10
11
11
00
00
01
10
11
11
01
10
10
11
00
10
10
01
11
10
10
00
10
01
00
00
10
00
00
00
11
11
10
01
10
11
11
11
01
00
10
00
01
10
10
11
10
10
11
11
01
10
00
00
00
00
10
10
00
00
01
10
00
00
00
11
00
00
11
10
10
01
10
00
10
10
00
10
01
00
10
10
00
00
10
10
00
11
11
00
00
11
10
10
10
00
00
11
00
00
01
11
00
11
10
10
11
11
00
10
10
00
11
11
11
00
01
10
00
01
10
11
00
11
01
10
11
00
11
10
10
00
01
00
10
10
00
11
10
00
10
11
00
11
00
00
00
01
01
00
00
11
11
11
11
11
01
10
00
00
10
10
10
01
00
01
10
10
11
11
00
01
00
10
00
01
01
10
10
00
00
00
10
10
10
10
10
10
00
10
10
00
00
10
01
00
00
00
10
00
10
00
00
11
11
11
10
00
01
00
10
10
00
00
10
11
00
01
11
11
10
00
00
00
00
00
11
11
00
10
01
00
10
00
01
00
00
10
00
11
10
10
00
11
00
10
11
01
00
11
11
10
11
01
00
10
10
00
10
00
01
10
00
00
10
10
01
10
00
00
10
00
10
00
11
01
00
00
00
11
10
10
11
01
11
00
10
01
01
10
00
10
10
10
10
01
00
10
00
00
10
00
00
10
11
01
11
10
10
10
11
11
00
10
10
00
10
11
00
01
10
00
00
10
10
10
10
00
00
11
10
00
10
01
10
00
00
10
10
00
01
00
00
11
10
01
11
10
01
10
10
01
11
10
00
00
10
10
00
00
11
11
11
00
00
01
00
10
00
00
10
01
11
10
10
01
10
10
11
10
01
00
00
00
10
01
10
11
00
00
10
10
11
10
10
00
11
11
00
00
11
00
10
10
00
10
00
00
01
01
00
01
00
10
00
10
00
10
01
00
11
00
00
10
01
10
10
11
00
00
00
00
10
00
11
10
00
10
00
00
00
01
10
10
01
10
11
01
01
10
01
00
00
01
00
11
10
10
10
01
11
10
00
01
10
11
00
00
01
11
10
00
10
10
01
00
10
10
00
10
00
10
10
11
01
10
01
10
00
00
11
10
10
10
01
00
00
00
11
10
10
11
10
00
00
11
10
10
01
01
00
00
00
01
00
00
10
11
00
01
00
11
10
11
11
01
10
10
10
00
01
10
10
00
00
11
00
00
00
00
00
00
10
00
10
00
10
10
10
11
01
10
10
10
00
10
00
01
00
01
10
00
01
10
11
00
00
10
11
11
00
11
10
00
00
11
00
00
00
01
10
01
00
10
11
00
00
01
01
10
11
10
00
11
11
01
10
11
01
01
11
00
00
11
11
11
10
00
01
11
00
10
00
01
10
11
10
10
00
11
00
10
11
00
01
10
01
11
01
00
10
00
00
10
10
11
00
00
00
00
00
10
10
11
10
10
00
10
01
10
11
00
11
11
00
10
10
00
00
00
10
10
10
10
10
11
11
00
00
00
00
10
00
01
11
10
00
10
00
00
10
10
01
11
00
11
10
10
01
10
10
00
00
10
01
10
11
00
00
00
11
10
10
10
00
01
01
01
10
10
01
00
11
00
01
10
11
01
00
10
10
01
10
10
01
10
10
00
00
11
00
11
00
11
01
00
11
10
00
10
11
01
01
11
10
11
11
00
00
00
11
10
00
10
10
00
01
01
01
10
00
00
00
11
00
10
01
00
11
10
01
10
10
00
10
10
00
00
11
01
11
01
00
00
01
11
10
10
00
01
00
10
10
00
00
01
10
01
10
11
00
01
10
01
01
10
11
00
00
10
00
00
10
10
10
00
01
00
01
00
10
10
11
10
00
00
10
10
00
00
10
00
11
11
01
00
01
01
01
10
10
00
00
11
10
00
11
10
00
10
01
11
00
01
10
00
11
10
00
10
10
00
10
10
01
10
10
00
00
10
01
00
10
11
00
00
00
00
11
10
00
10
11
01
00
01
01
00
10
10
01
00
10
10
10
00
00
11
11
00
11
10
00
00
10
01
00
11
10
10
00
11
10
00
01
10
00
01
11
10
10
01
10
01
00
10
00
10
10
00
10
11
00
10
10
10
10
01
00
10
00
00
11
00
01
10
10
00
00
01
11
00
00
11
10
10
01
00
00
00
00
00
11
01
10
11
00
01
10
11
00
10
10
01
10
11
10
01
11
10
10
10
01
00
11
11
10
10
01
10
10
11
00
01
10
10
11
00
01
01
00
00
10
11
00
10
00
11
00
10
11
10
01
00
00
11
10
10
01
00
10
10
10
00
01
00
00
10
11
01
10
10
00
00
11
00
10
10
00
00
10
11
01
01
10
00
01
00
11
00
10
10
00
11
10
01
00
01
10
01
00
10
10
10
01
00
01
00
10
10
10
10
00
10
01
10
01
01
10
01
00
01
00
10
10
00
10
00
10
10
00
11
10
00
10
01
01
01
01
00
01
10
00
00
10
00
10
11
00
01
11
00
00
00
10
00
00
11
11
00
01
00
00
01
01
11
11
10
00
01
00
01
01
00
10
10
10
10
01
00
10
11
01
10
00
10
10
01
00
10
01
00
00
10
11
00
00
01
10
00
00
00
00
00
10
10
01
00
11
00
10
10
10
01
01
11
11
10
01
00
01
01
00
11
10
10
00
01
10
01
10
10
00
01
00
11
11
01
11
01
00
11
01
10
10
00
01
01
00
00
10
10
00
10
00
10
10
01
10
11
00
00
00
11
01
00
00
10
10
00
10
01
01
10
00
10
10
10
10
01
00
00
00
10
10
00
00
10
10
00
10
01
10
10
00
11
10
01
11
00
01
11
10
00
00
11
10
00
00
11
00
10
10
01
01
00
01
11
00
10
00
00
01
10
11
01
00
11
10
10
10
01
01
00
01
01
10
10
10
00
10
01
10
10
11
10
11
00
01
10
11
10
00
01
11
11
00
01
10
10
01
00
00
10
10
00
11
01
00
11
01
00
00
11
11
01
01
10
00
00
11
10
11
00
01
10
01
00
00
10
10
11
11
11
00
10
10
00
01
10
01
00
10
00
00
11
10
01
00
10
10
00
01
01
00
10
11
10
00
10
00
10
10
11
11
10
00
10
01
00
00
00
01
11
10
10
11
10
10
11
10
00
10
11
10
11
01
01
10
00
10
11
00
00
00
10
10
10
00
01
00
11
00
00
01
01
10
00
11
11
00
11
01
01
00
00
10
00
10
10
01
11
11
01
10
11
11
11
00
10
00
00
10
11
10
00
00
11
10
10
10
00
00
10
10
00
11
10
00
00
11
00
10
11
10
00
10
00
10
00
01
10
10
00
00
00
10
11
10
00
01
10
00
01
00
00
01
10
10
10
11
10
11
00
01
11
11
00
01
00
10
10
01
00
10
10
10
00
01
00
10
00
00
00
11
11
00
10
00
01
00
10
11
01
10
10
00
10
10
10
00
00
10
10
10
10
00
00
10
00
00
00
10
00
01
10
11
11
00
01
10
00
11
11
00
10
00
01
00
10
10
00
11
10
01
10
11
10
00
11
00
00
11
01
10
11
11
01
00
01
10
10
01
00
00
10
01
10
10
11
10
00
10
00
00
01
01
00
01
01
10
01
10
10
01
10
11
10
01
00
00
01
10
10
00
00
00
00
11
10
00
10
00
10
11
10
00
01
01
00
10
11
10
10
00
00
11
10
10
01
00
10
00
00
11
00
01
00
10
10
11
10
11
01
00
10
00
00
10
00
10
10
00
01
11
00
00
11
00
11
11
10
00
00
01
00
11
10
10
11
01
10
00
01
10
01
00
00
01
10
10
00
10
10
10
00
11
11
01
10
00
00
00
11
11
00
01
00
00
00
00
10
10
10
01
01
11
01
00
01
10
10
10
00
10
10
00
00
01
00
11
00
01
11
11
11
00
00
10
01
00
11
10
00
10
10
00
01
01
10
10
10
10
10
10
10
01
01
11
01
10
11
10
11
10
10
10
01
01
00
10
11
00
10
00
00
00
00
01
00
00
10
10
10
00
00
01
10
10
10
11
00
10
10
00
00
10
01
00
11
00
10
11
10
11
00
11
11
00
01
11
00
00
10
11
01
00
10
10
10
11
00
01
10
11
00
10
00
10
01
01
10
10
00
10
00
10
11
11
10
00
10
01
01
10
10
00
11
10
00
01
10
01
00
10
11
11
00
11
10
00
10
00
00
10
11
00
10
10
11
00
10
00
11
00
00
00
10
01
00
00
00
10
11
11
11
00
00
10
10
11
00
10
10
10
00
11
10
01
01
01
10
10
00
10
11
11
00
00
00
10
10
00
00
10
10
00
10
01
11
10
11
11
00
00
11
00
10
00
00
10
10
10
01
10
11
00
10
10
01
10
11
10
01
10
00
01
00
10
10
10
00
11
00
00
01
10
00
10
00
10
00
10
10
10
10
00
01
10
00
00
00
10
10
11
01
01
10
10
10
10
10
11
10
00
10
11
00
10
10
00
10
01
11
11
00
11
11
00
10
01
01
10
01
01
11
00
00
01
10
11
00
10
11
10
01
00
10
10
10
10
10
11
00
10
01
01
10
10
00
00
10
11
10
00
10
11
11
10
10
00
01
10
10
10
00
01
00
10
10
11
00
00
10
00
11
10
10
11
00
10
10
01
11
10
11
00
11
10
11
01
00
11
10
01
00
10
00
00
00
10
10
00
00
00
00
11
10
00
00
10
10
10
11
10
10
10
00
00
10
10
00
00
11
11
01
10
00
01
10
01
10
10
00
00
00
00
11
10
11
10
00
00
01
11
10
00
10
01
00
10
10
10
00
00
10
01
00
10
01
01
11
10
10
00
00
00
11
10
00
10
11
11
11
00
01
11
10
00
00
11
11
01
11
00
00
00
10
00
10
01
01
11
10
11
00
00
11
10
11
01
00
10
11
00
00
01
11
10
01
01
10
00
01
11
01
00
10
01
00
01
01
10
10
00
00
00
00
10
11
00
11
10
01
01
01
01
10
00
10
00
00
10
00
01
00
10
01
11
00
00
10
00
00
10
10
11
11
10
11
00
01
10
00
00
00
10
10
00
10
01
01
11
11
00
00
00
11
10
01
00
11
10
10
10
00
10
11
10
01
00
11
10
00
00
10
10
01
10
10
01
01
11
01
10
00
01
10
11
10
01
00
00
10
10
10
10
11
00
10
10
10
00
10
01
10
00
11
11
10
01
00
10
10
01
01
10
01
00
10
00
11
11
01
10
11
10
10
11
01
00
10
10
01
10
10
00
00
01
10
11
00
00
10
10
11
00
00
11
00
00
01
10
00
01
11
00
10
10
00
11
10
10
00
11
11
01
01
01
00
00
01
00
11
01
00
10
00
01
10
00
00
10
11
01
00
10
11
10
00
10
10
00
00
11
01
10
00
00
01
10
11
10
10
00
10
10
01
11
10
11
10
00
00
11
00
01
10
10
00
01
01
00
00
11
00
11
10
10
00
10
11
10
10
00
11
00
11
11
00
00
10
00
00
00
11
10
00
01
10
11
00
00
00
00
10
10
00
10
10
00
00
01
10
11
10
00
10
11
01
11
10
00
00
10
11
00
00
10
10
11
10
00
11
10
00
10
10
01
01
11
10
10
00
01
00
10
10
00
10
00
00
10
10
00
00
00
00
11
00
00
10
01
00
00
01
10
10
01
10
01
00
10
10
00
01
01
01
10
00
11
10
11
01
10
10
00
10
10
00
00
01
00
10
10
10
10
10
11
11
11
01
00
00
11
00
11
01
01
11
00
01
01
11
10
01
00
10
00
00
10
10
00
00
01
10
01
11
10
01
01
11
11
00
00
10
11
00
00
10
10
11
00
01
00
01
10
10
01
10
11
01
10
10
10
10
01
00
11
00
10
10
00
11
00
00
11
10
10
10
11
00
10
10
01
01
11
10
00
11
00
11
10
11
00
00
00
10
00
00
01
10
10
11
00
10
01
11
00
00
10
11
11
00
10
01
00
00
10
00
01
00
00
11
10
11
10
00
00
00
10
10
10
00
01
11
10
01
10
10
00
10
00
10
00
01
00
11
10
10
10
01
10
10
01
01
01
10
11
00
00
10
10
10
00
10
11
00
10
01
00
10
10
10
00
10
00
11
10
00
10
00
11
00
11
01
10
00
00
10
11
00
00
10
11
00
01
01
01
00
11
00
01
10
10
00
00
01
10
01
01
01
10
11
00
00
00
10
00
10
00
00
10
10
10
01
11
00
10
00
00
00
01
10
00
00
10
11
11
10
10
00
10
10
01
11
11
00
00
00
01
11
00
00
10
11
10
01
11
00
10
10
00
10
11
10
01
01
01
00
00
10
10
00
01
01
11
10
10
10
00
01
10
00
00
10
00
11
11
10
00
01
10
00
11
00
00
00
10
00
00
00
01
10
00
00
11
10
10
10
10
00
11
11
10
10
00
00
10
10
11
11
00
11
10
11
10
00
00
11
10
00
11
00
11
11
00
10
00
11
11
00
01
10
00
10
00
00
00
00
11
01
01
10
11
00
11
00
10
10
00
00
10
11
01
01
00
00
00
10
11
00
11
10
11
00
11
00
01
10
00
00
10
11
10
00
10
00
10
01
11
11
00
00
10
11
11
00
11
00
00
10
10
11
00
00
00
00
10
00
10
10
00
10
10
01
10
10
01
10
11
11
01
01
10
10
00
00
00
10
11
00
00
00
00
11
00
11
00
11
10
00
10
00
01
11
01
00
11
10
01
01
00
11
10
11
01
10
10
00
10
11
01
00
00
10
00
10
11
00
10
11
10
11
11
00
01
00
00
10
00
11
10
11
00
11
11
11
00
00
01
10
00
00
10
11
00
10
10
00
11
10
01
00
10
10
10
10
01
10
00
11
00
01
00
10
00
10
10
00
00
10
00
11
00
10
10
00
10
11
10
11
00
11
10
10
00
11
10
00
11
01
01
11
10
00
10
10
01
10
11
10
11
11
10
00
11
10
00
00
10
00
00
11
00
11
00
00
10
00
10
00
11
10
10
10
11
11
10
00
00
10
10
00
10
00
00
10
01
00
11
11
11
10
10
00
00
01
01
00
10
10
00
10
10
00
11
11
00
01
00
11
00
10
10
00
11
00
01
10
10
10
10
01
10
00
00
10
11
00
11
00
01
11
01
10
11
10
01
01
11
01
11
01
01
11
00
11
00
01
11
11
10
00
00
10
00
00
11
10
01
00
11
10
10
00
00
00
10
10
01
11
10
10
00
10
10
00
10
00
10
10
11
11
11
01
11
10
00
11
01
00
01
11
10
10
01
11
10
11
01
11
10
10
10
10
10
00
10
10
00
00
00
01
00
01
00
00
00
10
11
11
11
00
00
11
11
11
01
01
11
11
10
11
00
11
10
10
10
01
00
11
01
00
00
01
11
00
01
10
11
00
01
10
00
00
00
10
00
11
10
10
10
00
00
00
01
00
11
00
11
00
10
00
00
11
11
10
01
00
10
00
10
10
11
11
00
00
10
11
00
11
11
00
00
10
00
10
11
01
00
01
10
11
10
10
10
00
00
11
10
11
11
11
10
01
00
10
11
01
00
10
10
00
11
10
10
10
10
11
00
00
01
10
10
11
10
11
10
10
00
01
10
01
00
10
11
10
01
10
10
00
00
00
01
00
10
10
00
11
00
11
11
10
01
10
10
10
11
00
00
10
11
10
11
10
01
00
11
10
01
01
10
00
10
00
01
00
01
10
10
01
00
11
10
01
00
11
00
10
11
01
10
11
01
00
00
11
00
00
10
11
00
11
10
10
10
00
10
11
00
00
10
10
00
10
01
00
00
11
10
00
11
10
10
00
10
10
10
00
00
01
01
11
01
10
00
00
11
10
10
00
00
10
10
10
10
01
00
00
11
01
11
10
01
00
01
10
11
10
11
01
00
01
10
00
00
10
00
00
11
10
01
00
10
10
00
00
11
10
00
10
00
01
00
11
01
00
00
00
11
00
00
11
00
10
10
10
10
00
11
10
00
00
11
01
10
11
00
00
00
00
10
11
11
00
10
10
00
00
00
10
00
01
10
00
11
10
01
01
01
00
11
00
11
10
00
10
01
00
10
10
00
01
10
10
00
11
10
00
11
00
10
10
00
00
00
00
10
11
00
10
11
01
00
10
10
00
00
00
10
10
10
00
00
00
11
10
10
10
01
10
01
00
00
00
00
00
11
01
00
10
10
11
10
00
01
10
01
00
00
10
10
00
10
10
00
01
10
01
00
11
11
11
00
00
00
01
00
10
11
01
11
01
00
10
00
01
10
11
00
01
00
01
00
11
10
00
11
10
00
01
00
10
10
00
00
10
11
00
00
10
00
01
00
00
00
10
10
10
00
10
10
11
00
01
10
00
00
00
10
01
00
11
10
10
00
10
01
01
11
11
00
00
00
01
10
11
10
10
00
00
00
01
10
10
00
11
00
00
01
00
10
10
00
00
10
00
00
00
00
10
11
00
00
00
00
10
00
00
10
11
10
11
00
01
10
00
11
01
00
00
11
11
01
00
11
11
10
10
10
00
00
10
11
11
10
11
01
01
01
11
10
11
00
00
10
10
10
10
00
00
00
10
10
11
01
00
10
10
10
10
01
10
00
01
10
11
11
00
00
10
00
10
10
11
10
00
01
11
00
10
10
10
11
01
00
00
10
11
10
01
10
10
11
00
00
10
01
01
10
10
01
00
11
10
10
11
10
01
00
11
11
10
10
00
10
11
01
11
00
00
10
10
00
00
10
00
00
10
10
10
10
10
00
10
00
10
01
00
00
00
10
11
10
10
00
10
10
01
10
00
01
10
10
10
10
00
11
00
11
10
10
11
10
01
01
00
10
10
10
10
10
00
10
00
10
01
10
00
00
00
00
00
11
10
00
00
00
11
10
11
00
00
10
00
10
00
00
10
10
00
00
10
10
11
11
11
01
10
10
10
11
10
10
01
00
10
10
00
00
10
10
10
00
00
01
11
10
01
00
10
11
00
01
10
10
10
01
10
11
10
01
01
00
01
01
01
10
00
01
10
00
00
01
10
00
00
00
00
00
10
10
00
01
00
01
01
11
00
01
00
10
10
00
01
11
10
00
10
10
00
00
01
10
11
10
10
00
10
11
11
00
10
00
01
10
10
00
00
10
10
00
10
00
11
10
01
10
01
00
11
01
01
00
10
00
10
00
00
10
00
00
00
00
00
00
10
11
10
11
00
00
10
10
11
01
00
11
01
10
11
10
01
01
00
00
11
10
00
10
11
00
10
10
00
01
11
10
10
10
00
00
00
00
01
10
10
10
00
01
10
10
01
01
00
01
00
10
10
01
00
10
11
00
10
11
10
10
00
00
00
10
10
01
00
11
10
00
01
11
01
00
10
10
00
10
01
10
11
00
00
11
01
10
10
00
10
10
00
10
00
11
10
10
00
01
00
01
00
11
10
10
01
01
10
00
00
11
11
10
01
00
00
00
01
10
00
00
11
10
11
00
10
11
10
01
00
00
11
00
10
00
00
10
01
01
10
00
10
10
00
00
11
10
00
00
11
10
00
00
00
10
00
11
01
00
00
01
10
11
10
00
10
00
11
10
01
01
10
01
11
00
01
00
00
10
00
10
11
01
10
10
10
00
00
00
01
11
00
00
11
01
00
00
10
01
01
11
11
00
01
01
01
10
00
01
01
10
11
00
10
01
01
01
11
11
00
00
00
10
00
00
11
11
00
00
11
10
10
00
01
00
10
00
10
00
00
01
00
10
00
10
10
00
00
10
00
10
01
00
01
01
10
11
11
00
11
00
00
10
10
01
00
01
10
10
11
11
10
01
00
10
10
01
01
10
00
10
10
10
01
10
01
10
01
00
10
11
10
10
00
01
00
11
11
11
11
11
01
10
10
00
11
11
00
10
10
11
00
01
00
00
10
10
11
00
00
10
10
11
00
01
10
10
10
10
10
00
11
01
10
00
00
00
11
10
10
00
11
11
10
01
00
10
00
10
00
11
00
10
11
00
00
10
00
10
00
00
00
11
01
10
10
10
10
00
00
10
01
10
10
00
10
00
00
00
10
00
00
00
00
00
01
10
10
11
10
11
11
10
01
01
11
10
01
01
00
10
11
01
00
00
10
10
00
00
11
00
01
10
01
10
10
11
00
10
01
00
10
11
01
00
10
00
00
00
00
11
00
10
11
11
11
00
11
01
10
10
00
10
10
11
10
01
00
10
00
00
10
00
00
01
11
01
10
10
10
10
11
10
01
10
00
00
01
10
10
01
10
00
00
10
11
10
01
10
11
00
11
00
11
10
01
00
10
10
00
11
11
00
00
00
11
00
10
10
00
01
11
00
01
10
10
00
10
00
10
10
00
00
11
11
00
11
10
11
10
11
00
10
00
01
10
01
01
01
00
10
00
10
01
00
10
10
11
00
00
10
10
11
11
01
10
01
10
10
10
00
00
11
00
01
10
10
10
00
01
01
10
10
00
11
00
10
11
10
10
00
10
11
00
01
01
10
01
00
00
10
10
00
00
10
11
10
00
00
10
01
00
11
11
00
11
00
01
00
10
11
10
11
00
00
11
10
00
00
00
10
10
11
11
11
01
00
01
01
01
01
01
11
11
10
11
10
00
00
00
01
10
00
11
00
10
01
00
11
11
10
10
01
10
11
00
00
01
11
11
00
10
11
11
00
01
00
00
00
11
10
00
01
11
00
10
10
11
10
10
00
10
11
01
11
10
11
00
01
10
00
10
10
00
01
10
00
10
00
10
00
10
11
01
00
10
11
10
00
01
10
11
10
11
10
10
10
00
01
00
00
10
00
10
10
11
10
01
00
11
01
00
10
11
10
10
00
00
10
00
10
00
11
00
11
11
10
11
10
11
00
00
10
10
01
01
00
10
10
11
01
10
00
01
11
10
10
10
00
00
00
01
10
00
11
11
01
01
10
10
00
10
10
00
01
10
00
00
01
00
00
10
10
00
10
10
11
10
00
10
10
11
01
10
00
01
11
10
01
00
10
00
00
11
00
01
10
10
00
10
00
00
10
11
11
10
00
00
00
00
01
00
00
00
10
00
10
10
01
00
10
11
00
00
10
10
10
01
00
00
00
10
00
10
10
10
00
01
10
11
11
11
10
00
11
01
00
00
10
00
00
01
01
11
10
10
11
11
00
10
10
00
00
10
11
11
01
10
10
01
01
00
11
00
10
11
01
10
10
10
00
00
00
11
10
10
11
10
00
00
10
00
01
01
10
00
11
11
01
00
00
10
00
11
00
10
00
10
00
10
11
11
00
00
00
10
10
10
10
01
00
10
10
00
11
10
00
10
01
00
00
11
10
00
10
01
00
11
00
00
00
11
10
01
11
01
00
11
00
10
00
01
10
11
00
00
10
11
10
10
01
01
11
10
01
10
10
00
00
10
10
00
00
01
10
01
00
00
10
01
10
10
01
11
10
01
10
01
00
10
00
11
00
00
00
10
10
11
00
01
10
10
00
10
00
10
10
00
00
10
00
11
10
00
01
10
10
10
10
00
01
11
10
11
10
01
10
10
00
10
00
00
10
00
10
10
00
11
10
00
00
00
11
01
01
10
00
10
11
10
11
00
01
01
10
10
11
10
10
00
01
10
10
10
00
00
00
00
10
00
01
10
01
10
10
10
10
10
10
01
00
01
10
10
00
10
10
00
00
00
00
10
00
01
10
10
10
11
00
00
10
11
00
01
00
11
00
11
00
00
00
11
10
00
11
10
11
10
00
00
10
00
11
00
00
10
00
00
01
10
11
10
00
00
01
10
10
11
00
00
10
00
00
10
10
10
10
00
10
10
10
10
10
10
01
10
10
10
00
00
10
10
01
10
00
11
00
10
00
00
10
00
01
10
10
01
00
01
00
10
01
10
00
10
00
00
00
11
10
11
00
00
01
00
01
10
00
00
10
11
01
10
01
11
10
10
01
00
11
10
01
10
11
11
10
11
01
10
10
10
00
00
01
10
11
10
00
10
00
10
00
00
10
10
10
01
01
10
00
10
00
10
11
10
00
00
00
00
01
00
10
00
00
01
10
00
10
11
00
10
10
00
01
00
01
11
01
00
01
10
10
01
00
00
01
00
10
00
01
11
00
01
10
00
11
01
10
11
10
00
00
11
00
01
10
10
10
10
00
00
10
11
01
10
10
10
01
10
11
00
00
10
00
00
00
00
10
10
10
10
01
00
10
00
00
10
10
00
00
01
00
11
11
10
11
11
00
00
10
11
01
01
01
10
00
01
00
10
10
00
10
01
00
01
00
01
00
10
10
10
00
01
00
10
01
10
01
11
00
01
00
11
10
11
11
10
01
00
10
10
10
01
10
10
01
00
01
01
00
10
10
11
11
11
01
00
00
01
00
10
10
00
00
00
10
00
00
10
00
11
00
01
01
00
11
10
10
00
00
10
10
00
10
10
01
10
10
00
01
00
00
10
00
01
01
10
11
00
01
00
01
00
00
01
11
11
00
00
11
10
11
11
11
00
00
10
10
00
01
01
00
10
11
10
10
11
10
00
00
01
00
11
10
01
00
00
10
10
00
01
01
10
00
11
11
10
00
00
10
00
11
11
10
00
10
00
10
00
00
11
10
00
10
11
10
10
00
10
01
10
00
01
10
10
00
00
01
11
11
00
10
11
01
11
10
00
01
11
10
00
10
01
10
00
00
11
00
00
10
10
11
00
01
11
00
10
10
00
00
00
10
00
11
10
11
00
00
01
10
11
00
11
11
10
01
10
00
00
00
00
01
11
10
01
00
11
01
10
00
01
10
10
11
00
01
10
11
00
01
10
01
00
11
00
01
10
11
00
00
10
00
01
11
01
10
10
01
10
10
01
00
10
00
00
01
11
01
01
11
10
10
10
00
11
10
00
10
10
01
01
10
10
10
01
10
10
10
00
00
10
10
00
00
11
10
00
10
00
10
00
00
00
01
10
10
00
00
10
00
10
00
10
11
10
10
10
10
00
00
00
00
10
10
11
00
01
10
00
00
00
01
11
00
00
11
10
10
10
01
10
01
00
10
10
10
00
11
10
10
00
11
10
01
01
00
10
01
10
01
00
10
10
00
10
10
00
01
11
11
01
11
00
11
00
01
10
10
01
11
00
00
10
10
00
00
00
00
00
10
10
10
00
00
00
10
10
10
00
00
00
00
11
01
11
10
10
11
00
01
10
10
00
00
01
01
01
00
01
00
00
10
10
00
10
10
00
00
11
00
01
01
10
11
00
10
10
00
00
00
11
10
10
10
11
00
10
10
11
01
01
10
10
00
00
01
10
00
00
10
10
10
10
00
00
10
01
01
01
10
01
10
10
01
01
10
01
10
10
01
10
00
10
00
00
00
11
11
10
11
10
00
01
10
10
10
00
00
11
00
00
10
00
00
10
10
10
10
10
11
10
00
01
10
01
01
10
10
00
00
10
01
01
10
01
11
10
00
00
11
10
00
00
00
00
10
10
10
01
00
00
10
00
10
00
00
10
01
01
00
11
11
10
11
00
00
00
11
00
11
11
01
10
10
10
01
10
00
10
11
01
01
00
11
10
10
01
00
10
11
01
01
00
10
00
00
00
01
10
11
10
10
00
00
10
11
00
11
01
00
11
10
00
00
00
11
01
10
11
00
10
00
00
11
01
10
00
00
11
10
10
00
00
10
01
01
10
00
00
11
01
00
11
11
10
10
00
00
10
11
01
11
11
10
00
00
10
10
00
01
01
10
10
00
00
00
10
00
10
00
01
00
10
10
11
00
01
11
00
11
01
00
10
11
10
10
00
00
00
10
10
00
10
10
00
10
00
00
01
01
10
10
00
11
10
01
10
10
00
01
10
11
10
00
10
01
01
00
10
10
00
00
00
00
11
11
00
11
10
00
10
10
10
01
10
10
10
00
11
01
10
10
01
01
11
11
00
01
00
10
01
10
10
00
00
11
10
10
11
11
10
00
10
00
01
00
01
11
01
01
10
10
10
00
00
11
10
01
10
00
10
10
10
01
11
00
11
10
10
10
00
00
10
11
00
00
11
00
10
10
00
01
00
10
11
11
00
01
10
00
11
10
00
11
01
01
11
01
00
00
01
10
00
00
10
11
11
10
10
11
11
00
00
01
00
00
10
11
00
10
00
01
00
00
01
11
00
00
11
10
00
01
10
00
01
10
01
01
00
10
11
11
00
10
10
00
10
00
01
11
10
01
00
10
01
10
01
10
00
00
11
11
00
10
11
01
10
11
00
00
00
10
10
11
01
01
01
10
10
01
10
10
00
00
10
10
00
00
11
10
01
10
11
01
10
11
00
00
11
11
10
00
00
10
10
00
00
11
11
10
00
00
00
10
11
00
11
10
01
11
00
00
10
00
10
01
01
11
00
11
11
00
11
00
01
10
10
01
10
10
00
10
10
01
00
00
11
10
10
00
00
10
10
10
10
00
10
00
00
10
00
00
00
01
01
11
00
10
10
00
10
00
11
10
00
01
11
11
10
10
10
00
00
01
10
10
10
00
11
00
01
01
10
00
10
01
01
11
10
01
01
00
10
10
00
00
00
11
11
00
10
00
00
00
11
00
10
01
11
10
10
11
00
00
11
00
10
01
10
01
00
11
00
11
11
01
00
10
10
00
10
11
10
00
00
00
00
00
10
10
10
00
01
10
10
10
00
01
00
10
11
01
11
00
00
00
00
10
10
01
00
11
10
10
10
10
11
01
00
10
00
01
10
11
00
10
11
01
01
11
00
00
11
10
01
01
10
10
00
10
10
10
00
01
00
10
01
10
11
00
11
01
01
11
11
01
01
00
10
10
00
00
11
11
00
10
00
10
00
10
10
00
11
00
01
11
00
00
10
00
00
10
10
10
00
10
10
00
10
00
10
10
00
11
10
00
01
00
10
01
10
00
00
01
01
00
01
00
10
00
01
00
10
10
01
01
11
00
11
10
01
00
01
11
10
00
00
10
01
00
10
00
10
10
10
10
11
10
00
11
10
10
00
10
10
01
00
00
00
01
10
00
00
11
01
10
01
00
10
00
10
10
01
10
10
10
10
00
11
11
10
10
01
00
01
00
10
01
00
10
10
10
00
00
10
10
11
01
01
01
01
11
10
00
01
10
11
10
00
00
10
10
11
00
00
00
11
10
11
10
00
00
11
11
00
10
11
00
00
00
10
00
00
01
11
11
01
11
00
11
01
00
10
10
00
01
10
11
00
00
01
10
00
11
10
01
01
11
10
10
10
00
10
10
00
01
11
00
00
00
00
10
10
01
00
10
10
11
10
11
00
11
10
01
01
01
10
10
11
10
10
00
01
10
00
01
10
10
00
11
10
10
01
00
10
00
00
00
00
00
10
00
00
00
00
10
01
10
10
01
00
10
10
00
01
10
00
11
10
01
10
10
00
11
10
00
10
11
01
11
11
10
00
10
00
10
10
00
11
00
01
10
00
00
10
01
00
11
11
00
00
00
00
10
11
01
00
10
00
00
11
01
00
11
10
10
01
11
00
01
11
11
00
11
11
10
11
10
10
00
01
10
00
00
10
11
10
01
00
01
10
10
00
11
00
10
11
00
00
00
11
10
10
01
01
01
00
00
10
00
00
10
10
01
11
00
00
11
01
00
00
11
00
10
11
00
00
11
11
10
10
01
00
10
01
11
10
00
01
11
00
01
10
10
01
10
01
01
11
00
01
00
10
00
10
10
00
01
00
10
10
00
10
01
10
00
01
10
10
00
10
10
11
00
11
01
01
11
01
00
10
10
01
00
10
10
00
00
10
00
10
10
11
10
00
10
01
10
01
11
00
00
11
01
11
11
00
11
11
00
00
00
10
11
10
01
00
10
10
10
00
01
10
11
11
00
00
01
00
11
11
10
00
00
00
11
11
00
11
10
01
10
11
00
10
01
00
10
00
11
00
11
00
00
11
10
10
00
00
11
00
10
10
10
01
10
00
00
11
10
01
11
01
10
10
10
00
10
10
00
10
00
11
10
10
10
00
10
00
00
10
10
00
11
10
00
00
00
00
00
01
11
00
10
10
10
10
00
01
01
00
10
00
00
00
10
11
00
00
01
10
10
00
00
11
00
10
10
10
00
00
11
00
00
10
11
01
01
10
10
01
01
10
11
11
01
00
00
10
10
00
00
10
10
00
10
10
11
00
10
10
10
10
10
01
00
11
10
11
10
10
00
11
10
01
10
11
11
00
01
10
00
01
01
10
10
10
01
11
00
00
10
00
11
01
01
11
10
10
10
01
10
10
10
01
00
11
00
01
10
10
00
00
11
10
00
10
00
00
00
00
11
10
01
11
00
01
00
01
11
10
10
00
00
11
11
01
01
01
10
10
10
00
00
10
10
00
11
11
00
10
00
00
01
10
10
00
00
10
00
11
01
10
00
10
10
11
11
00
10
10
10
10
00
10
01
11
01
11
11
01
00
00
00
11
11
00
11
00
00
10
01
10
01
00
11
10
00
01
00
10
10
10
01
10
01
01
10
00
01
01
00
01
10
00
01
00
10
11
01
01
00
00
10
10
10
11
00
00
10
00
10
10
00
00
10
10
00
01
01
10
11
00
10
10
00
01
00
00
11
11
00
10
10
00
00
01
10
10
00
10
10
10
10
10
00
00
01
00
01
00
00
11
01
00
01
00
11
10
11
10
00
00
00
10
00
00
10
00
00
11
10
00
10
11
00
10
10
00
10
11
10
11
01
11
00
00
10
10
01
01
01
10
00
00
11
01
10
01
00
10
00
01
11
11
11
00
10
10
10
01
00
11
11
01
10
01
10
11
00
10
10
01
00
11
01
11
00
00
10
10
10
00
10
00
00
00
00
01
00
00
11
11
10
00
00
00
01
01
10
10
00
10
11
00
01
01
10
00
01
01
10
01
00
10
11
10
00
01
11
10
00
10
10
10
00
00
11
10
00
10
00
10
00
00
00
10
00
11
11
11
10
00
01
11
11
00
01
10
00
10
00
00
11
00
11
10
01
10
10
10
00
01
11
00
00
10
10
01
00
10
00
00
10
00
00
10
01
00
00
00
10
10
00
01
00
10
11
00
01
10
11
01
10
11
01
00
11
10
00
00
00
10
10
01
11
00
10
10
11
10
10
00
00
11
00
10
00
00
01
11
10
00
00
11
11
10
01
10
00
00
00
00
01
11
11
10
11
01
11
00
01
10
10
10
10
11
00
01
11
00
01
00
10
00
01
10
00
01
11
10
10
10
00
01
10
11
10
10
01
10
00
00
00
00
00
00
00
01
10
10
00
01
00
00
11
00
00
10
01
11
10
10
10
00
01
11
11
00
01
10
11
01
10
11
01
10
11
00
01
00
00
10
10
10
01
01
10
10
10
10
10
00
11
11
00
00
11
10
00
00
11
00
10
11
10
10
10
10
00
11
10
00
11
00
00
00
10
11
11
10
01
11
10
10
10
10
00
01
00
00
10
10
10
01
11
10
11
00
00
01
00
10
00
00
11
10
00
10
00
10
10
11
00
11
11
00
10
00
10
10
01
01
00
00
11
00
01
10
10
01
01
10
00
10
10
00
00
11
00
01
01
10
00
01
11
00
10
10
10
10
11
11
00
01
10
01
00
10
00
00
00
11
10
00
10
10
11
00
01
10
10
00
00
11
10
00
00
00
10
10
00
01
10
10
11
01
01
00
01
00
01
10
11
10
00
00
10
10
00
00
11
00
00
11
01
00
10
00
01
10
11
11
10
00
00
00
11
10
00
00
10
11
11
11
10
10
00
01
00
01
10
10
10
00
00
11
00
00
00
00
00
00
10
00
10
10
10
00
01
00
10
11
00
00
00
10
00
00
10
00
00
10
11
00
10
01
11
10
01
10
01
00
11
11
10
00
01
00
10
10
00
00
10
00
10
00
00
11
01
00
01
10
10
10
11
01
00
10
11
10
10
10
01
01
10
10
10
00
01
10
10
11
10
10
11
00
10
10
00
10
10
10
00
01
10
11
10
00
00
01
01
10
10
01
10
10
00
10
00
00
01
10
01
00
10
01
00
11
01
11
11
10
00
11
00
10
10
01
00
10
01
11
10
00
10
10
00
00
11
00
00
10
10
11
10
01
01
11
10
11
10
00
10
01
01
00
10
10
00
00
00
10
00
10
00
10
00
10
00
00
01
01
11
10
00
10
10
10
01
10
11
00
00
01
10
11
01
11
11
10
01
01
10
00
01
11
00
01
01
10
01
11
10
00
11
10
00
00
11
00
10
00
00
10
11
00
10
01
10
10
00
10
00
01
10
10
11
00
10
00
00
00
10
10
00
00
10
00
00
11
10
11
11
00
00
10
01
01
10
11
10
00
00
00
00
11
10
00
00
10
11
01
01
10
00
01
11
10
00
10
10
01
00
00
11
01
00
00
11
00
10
10
00
01
00
00
11
11
01
11
00
10
11
01
01
10
10
01
01
10
10
01
00
10
00
00
10
10
00
01
10
10
00
10
11
00
00
00
11
10
10
00
00
01
01
01
01
00
00
10
11
10
10
01
00
10
00
00
00
01
10
10
00
01
11
00
10
11
00
01
00
10
10
01
10
01
00
10
00
01
01
10
10
00
01
10
10
10
11
00
00
00
10
00
11
11
01
01
00
00
11
00
01
10
10
00
00
10
10
00
00
10
00
10
10
10
10
00
00
11
01
10
10
10
10
11
10
00
01
00
11
01
00
11
11
00
11
00
01
00
11
11
11
00
00
10
11
01
10
10
11
00
00
00
00
00
10
00
00
11
10
10
11
11
10
10
10
00
10
00
10
10
01
11
10
11
00
11
00
00
00
10
11
00
00
10
11
01
11
00
00
00
11
01
01
11
10
00
01
00
11
11
00
00
00
11
00
10
11
10
01
01
10
10
10
00
01
10
00
10
00
11
00
01
10
00
01
10
10
00
10
10
10
01
00
00
00
10
11
10
00
11
00
10
01
00
10
10
10
00
11
10
00
11
11
00
11
10
00
01
10
01
01
00
11
10
10
10
00
01
10
11
00
00
00
10
10
10
00
01
00
10
01
01
00
11
00
01
10
11
00
00
11
10
10
01
10
10
10
01
10
00
00
10
01
00
11
00
01
00
10
00
10
01
00
01
11
00
00
00
10
11
01
00
10
10
00
00
10
10
11
00
11
01
00
11
10
10
01
00
10
10
00
00
00
00
00
00
01
10
10
11
10
00
00
10
10
01
00
00
01
10
10
00
00
11
10
00
00
01
10
10
10
01
00
10
00
10
10
10
00
01
00
10
11
00
10
01
10
10
00
00
00
11
10
01
00
01
10
01
10
10
10
01
00
11
10
00
11
10
11
10
11
00
01
00
01
00
10
10
00
10
10
00
01
10
00
00
10
11
11
11
00
10
10
10
10
01
10
10
10
10
11
00
01
00
10
10
10
10
00
00
11
10
00
10
11
11
00
01
10
10
11
01
01
00
11
10
00
00
11
10
01
11
11
10
10
10
01
00
10
11
01
01
10
00
10
10
10
00
00
10
10
00
01
01
10
11
00
00
01
00
10
00
00
10
00
01
00
11
11
01
11
00
10
10
10
00
10
10
00
00
10
10
10
10
00
11
00
10
00
11
00
00
10
11
00
10
10
00
00
00
00
11
11
11
10
10
00
10
10
10
01
11
01
00
10
00
01
10
10
00
00
01
00
01
11
10
11
00
11
10
11
01
00
10
00
00
10
01
00
00
11
10
00
10
10
00
01
11
00
01
10
00
10
00
00
00
00
10
10
00
00
10
01
10
01
01
11
10
11
00
01
00
10
10
10
00
01
00
01
10
00
10
01
00
00
10
10
01
01
11
00
11
10
00
01
00
10
10
10
00
01
10
01
11
11
00
00
00
10
01
00
10
00
10
11
10
00
00
01
10
10
10
00
10
11
11
11
10
00
10
10
10
00
01
10
11
10
11
10
01
01
01
11
01
11
00
10
11
10
11
00
00
10
10
00
00
10
01
00
00
11
11
11
10
10
00
00
10
00
11
11
01
11
11
00
00
00
00
10
11
00
00
11
00
00
00
10
10
00
01
00
11
10
00
01
10
10
00
11
10
11
10
00
10
01
01
01
10
11
10
10
10
11
00
01
10
10
00
01
10
10
00
00
10
00
10
10
00
00
00
00
00
00
10
10
00
00
11
10
01
01
10
00
10
00
01
01
10
10
00
00
01
01
00
01
11
10
11
10
11
00
01
11
00
10
10
01
00
11
10
00
00
00
00
11
00
00
01
10
10
00
01
00
11
11
01
10
11
01
01
11
11
00
11
10
01
01
10
10
00
10
10
00
00
00
11
10
10
10
01
00
10
10
00
01
11
01
00
00
00
10
11
00
01
01
10
01
11
10
10
01
00
10
01
00
10
01
00
11
00
11
10
11
10
00
01
10
00
00
10
11
00
01
10
00
00
01
01
10
10
01
00
01
10
11
00
10
01
01
10
00
00
10
10
10
00
10
11
01
00
10
10
00
00
10
00
00
10
10
10
00
11
10
10
10
10
01
11
10
00
10
10
10
00
01
10
11
00
10
00
00
00
00
10
00
00
10
10
00
01
00
01
10
00
10
00
10
01
00
00
00
11
00
01
00
11
00
00
10
00
10
10
11
10
00
10
10
00
00
11
00
01
10
10
10
00
10
01
00
11
11
01
00
11
00
10
00
01
01
10
00
01
10
10
11
01
00
00
00
10
00
10
10
00
00
10
10
00
00
01
00
10
00
10
10
01
11
00
00
00
10
10
11
10
01
00
10
10
11
01
01
00
10
00
10
10
00
01
11
00
00
00
11
11
10
11
01
10
10
01
10
10
00
00
00
00
10
10
00
00
00
10
10
00
00
10
10
01
10
11
10
10
01
00
01
00
01
10
00
00
11
00
01
10
00
00
01
10
01
00
10
00
10
00
10
00
01
11
10
00
00
01
00
11
00
10
01
00
10
00
00
11
10
10
11
00
00
10
10
00
11
00
00
00
11
10
10
00
00
00
11
10
10
10
10
00
01
11
00
11
11
11
01
01
01
00
11
10
10
11
00
10
11
01
00
11
11
00
11
00
11
00
11
00
01
10
10
00
01
00
01
10
10
01
01
10
00
00
10
11
01
01
00
10
00
11
11
11
00
00
11
10
10
11
00
00
00
10
10
00
10
00
11
10
01
10
10
10
00
10
01
00
10
10
00
11
00
10
11
00
11
00
11
10
01
00
00
10
00
01
11
10
00
10
01
11
10
11
10
01
01
11
01
10
10
00
11
10
01
00
10
01
01
00
10
10
01
10
11
10
00
01
10
10
01
11
10
11
01
00
10
10
10
10
10
01
10
10
00
00
01
00
10
10
00
10
00
00
10
10
00
01
10
11
10
00
01
00
00
11
10
01
10
01
11
10
10
01
00
11
01
10
11
00
00
11
10
01
10
11
01
00
00
00
11
11
11
01
00
11
11
01
10
11
00
00
10
00
11
11
01
00
10
10
01
10
00
10
10
00
00
00
00
10
11
01
01
00
11
10
10
01
11
10
00
11
10
11
00
00
00
10
11
11
10
00
10
00
10
01
00
10
10
10
00
00
10
10
00
01
00
01
00
01
00
10
00
01
00
00
01
11
01
10
01
01
10
11
00
10
10
00
11
11
01
10
00
00
00
01
10
10
01
00
10
00
01
10
00
10
00
11
00
01
11
11
00
01
00
11
10
11
10
00
00
10
11
00
01
10
10
00
00
10
11
10
00
01
10
00
01
00
00
10
10
00
01
00
10
00
10
10
00
00
00
00
10
11
10
10
11
10
00
10
11
00
00
11
10
01
11
10
10
00
00
01
00
11
10
10
00
00
01
01
10
10
10
11
10
10
00
01
00
10
10
00
11
11
11
01
11
10
00
00
00
10
10
00
00
10
11
10
10
10
11
00
10
11
10
10
01
10
01
10
11
00
01
10
01
11
01
01
10
11
10
00
11
10
00
00
00
11
00
01
10
10
10
01
01
10
10
00
11
00
10
00
10
10
10
01
10
00
00
10
11
10
00
11
11
01
11
10
00
00
10
10
01
01
10
00
00
00
11
00
00
10
11
00
10
00
10
10
10
01
01
00
10
11
10
00
10
10
00
10
10
11
10
01
00
00
00
00
01
01
01
10
00
10
10
00
00
10
11
00
00
01
00
00
10
11
01
00
10
00
00
11
10
10
01
00
00
00
00
10
01
10
11
00
00
11
10
00
10
11
00
10
10
00
00
11
10
11
10
10
01
01
10
01
10
00
00
00
11
10
01
10
00
00
00
00
10
10
00
00
00
00
10
01
10
10
00
01
11
10
00
10
01
00
11
10
10
00
00
01
10
00
10
01
00
00
11
10
01
01
10
11
00
10
00
00
01
00
10
10
10
00
11
00
01
10
10
01
10
10
10
10
00
10
11
00
10
11
01
10
00
11
11
10
10
01
11
00
10
00
00
00
10
11
00
00
00
01
11
10
00
00
11
01
01
00
10
10
00
00
00
10
10
01
00
10
10
00
00
00
10
10
11
10
10
00
01
11
11
01
00
00
11
10
10
11
01
00
10
00
10
11
00
00
10
01
11
10
11
10
00
11
10
00
01
01
10
10
00
10
11
00
10
10
01
00
00
01
00
11
11
01
01
11
11
00
01
11
10
00
10
10
01
00
00
00
11
11
10
10
10
01
01
10
10
00
10
10
00
10
00
01
10
10
10
00
00
10
10
10
00
00
00
10
10
11
00
10
11
00
00
00
00
10
00
00
10
10
01
11
11
10
00
01
01
01
10
10
00
00
10
00
00
10
00
01
11
11
11
10
00
11
11
01
11
10
00
10
00
00
10
10
00
10
11
10
10
11
01
01
10
00
10
10
00
10
00
00
10
10
00
10
10
00
00
10
00
01
00
10
00
10
01
00
01
10
01
10
11
11
10
10
00
00
00
00
10
00
01
01
10
10
00
00
10
11
10
00
01
10
00
00
10
10
11
01
00
01
10
10
10
11
11
10
01
01
01
01
10
10
00
00
10
00
11
10
10
00
00
10
01
10
10
00
01
10
11
01
10
10
00
10
00
00
10
00
10
10
01
00
00
10
00
10
10
10
01
01
10
10
10
00
11
11
00
10
00
01
00
10
00
11
10
10
11
01
11
11
10
01
10
10
01
10
01
00
00
10
10
01
10
00
00
00
10
00
01
11
00
11
00
10
10
00
11
10
01
00
11
01
10
11
01
01
10
00
00
00
01
10
10
00
11
11
10
10
01
00
10
10
00
10
10
11
10
10
10
10
01
10
10
10
00
11
00
00
11
01
00
10
11
01
10
11
10
01
10
00
01
00
00
10
11
10
10
00
10
00
10
00
01
10
10
00
01
00
01
00
00
10
10
00
11
10
01
01
10
11
00
00
00
00
11
10
01
00
10
10
10
00
00
01
11
00
00
10
10
10
00
00
00
11
10
11
10
10
11
00
01
10
10
01
00
10
01
00
11
11
01
00
01
01
10
11
00
11
10
10
00
10
11
00
10
01
01
00
01
11
11
01
00
10
10
00
01
00
10
00
10
10
01
00
10
00
10
11
10
10
10
01
00
10
01
00
00
10
00
00
10
00
11
11
01
00
10
10
01
11
01
10
10
01
00
01
00
01
10
00
10
00
00
10
11
00
11
10
00
10
10
10
00
10
00
00
00
10
00
01
11
10
00
00
11
00
01
10
11
11
01
10
10
11
00
10
01
10
10
00
00
10
01
01
00
11
00
11
00
11
00
00
11
11
10
00
10
01
11
00
10
10
10
00
10
00
11
11
00
11
00
11
10
00
00
10
10
01
01
10
00
10
11
01
10
01
00
01
00
00
01
10
11
00
10
10
11
00
10
00
10
00
00
10
10
00
01
10
10
10
01
10
10
00
01
10
10
00
01
00
10
01
10
01
01
10
10
00
00
00
00
10
10
01
10
10
10
00
00
00
01
10
00
01
10
10
01
10
11
00
11
11
00
00
11
01
00
10
10
00
00
10
10
10
00
11
11
10
00
10
01
00
00
00
10
01
01
00
10
10
00
11
11
10
00
11
00
10
10
00
10
00
01
10
11
11
00
11
10
11
00
10
10
10
00
11
10
00
00
01
00
11
00
10
00
01
00
10
11
00
10
10
01
01
10
10
10
00
00
10
00
10
10
10
10
00
00
11
01
00
00
10
01
00
01
00
11
11
00
01
00
00
10
00
10
10
11
10
01
00
01
00
11
10
11
10
01
10
10
00
01
11
11
01
01
10
00
01
11
00
01
00
10
01
10
01
01
01
10
10
10
00
00
10
00
01
10
10
00
01
00
10
10
10
00
00
01
11
11
11
00
11
00
10
10
10
00
00
11
10
00
10
00
00
10
10
10
00
01
01
10
11
10
00
10
00
01
10
00
00
00
10
10
00
10
01
10
01
00
11
01
00
10
00
10
10
10
00
00
10
10
00
10
00
00
00
00
00
00
10
11
01
01
01
00
10
00
10
00
01
10
10
00
00
01
00
01
11
10
01
11
11
00
00
01
10
11
01
00
11
10
00
01
00
10
10
00
00
10
11
00
11
01
10
10
01
01
10
00
01
10
01
10
10
00
10
00
10
10
00
11
01
00
01
00
10
10
10
10
00
00
11
00
11
10
01
10
10
11
00
10
10
01
00
00
01
11
11
01
00
10
10
10
00
00
10
10
01
00
00
10
11
10
11
00
00
01
10
00
10
11
01
01
00
10
10
00
10
01
00
11
10
01
11
00
11
01
00
10
10
00
10
11
10
01
01
10
10
01
11
10
01
00
10
10
01
00
00
00
10
11
01
11
10
00
00
00
00
10
00
00
01
10
01
01
00
11
01
00
10
00
00
10
10
00
10
10
01
00
01
01
11
11
10
11
01
10
10
00
00
10
01
10
11
11
10
01
00
10
01
10
11
01
10
10
01
11
00
01
10
11
11
00
11
00
11
10
01
10
01
10
11
00
00
10
11
10
00
10
10
10
10
00
01
00
10
11
00
00
10
10
00
00
01
10
00
00
00
11
11
00
11
01
10
01
11
00
10
10
10
01
10
00
00
01
11
10
11
11
10
00
10
11
10
00
01
10
10
01
10
10
00
01
10
10
10
10
00
10
00
01
00
11
10
10
00
01
00
00
10
00
00
01
10
01
01
10
10
00
00
00
10
10
01
01
10
10
10
00
00
10
10
00
10
10
10
01
00
10
10
10
10
01
11
00
10
10
00
01
01
01
00
11
10
00
01
11
01
00
10
00
11
10
10
11
00
00
01
01
10
01
10
10
00
00
00
11
10
01
10
00
10
10
11
00
00
11
00
01
10
00
00
10
00
01
10
11
00
00
00
00
00
01
11
11
11
11
00
00
00
00
10
10
00
00
11
10
01
00
10
00
10
01
00
11
10
10
10
00
00
10
01
00
00
00
01
10
00
01
00
00
11
10
00
00
10
10
10
11
00
01
10
01
11
01
10
11
00
11
00
00
00
10
10
11
01
00
10
10
00
11
10
01
10
01
00
01
10
11
00
01
10
11
00
01
00
11
11
10
10
01
01
10
00
01
01
10
00
00
10
11
10
10
00
00
00
10
00
10
01
00
10
10
10
10
00
00
11
10
00
10
11
11
10
00
11
10
10
00
01
10
00
00
01
00
10
11
10
00
10
10
00
00
00
00
10
01
10
10
00
10
10
01
01
10
10
10
01
10
10
00
10
11
10
10
10
00
00
01
00
10
00
00
11
00
10
00
00
01
10
01
11
11
10
00
00
11
01
00
11
10
01
10
11
00
00
10
11
10
10
00
01
01
10
10
01
00
10
10
10
00
00
01
00
11
10
10
10
00
00
10
11
00
01
00
10
10
00
00
00
01
10
10
10
11
00
10
11
00
10
10
00
11
10
11
10
10
10
10
00
11
01
00
10
10
01
10
11
10
00
00
00
10
10
01
01
10
00
10
11
10
00
10
00
00
01
00
10
01
10
01
01
10
10
11
00
00
10
10
00
00
11
10
00
10
00
10
11
01
00
11
11
10
01
11
10
01
00
11
10
10
00
10
10
00
10
10
00
10
10
11
00
00
11
00
10
01
10
00
01
10
11
10
00
00
00
10
10
10
01
01
10
10
00
00
11
10
00
11
01
00
00
10
11
01
00
01
10
01
00
00
11
00
10
10
10
10
01
00
01
00
10
11
10
01
00
11
11
10
01
01
10
01
11
11
10
01
00
10
10
00
00
00
00
10
01
10
10
11
00
11
01
00
01
01
00
11
01
00
01
10
01
00
01
11
10
11
00
00
11
11
01
10
11
01
00
10
01
10
11
01
11
10
10
10
00
10
00
10
10
00
01
11
11
01
01
11
01
11
10
00
00
00
01
10
11
00
00
10
10
10
00
00
01
10
10
10
01
00
11
10
10
11
00
11
10
00
01
01
10
01
10
00
00
10
10
00
10
10
01
10
01
10
00
00
10
10
11
00
00
10
10
00
10
11
00
11
00
01
10
01
00
10
10
01
10
10
11
01
11
11
00
10
00
01
11
00
00
10
10
00
10
10
10
11
00
01
10
11
00
10
01
01
10
10
01
10
00
10
10
10
10
00
00
01
10
01
01
11
11
11
10
00
01
00
01
10
10
10
00
10
00
00
10
00
01
00
11
11
10
01
11
00
00
01
10
11
00
00
00
11
11
00
00
10
10
10
10
00
01
00
00
11
10
10
10
00
00
10
10
10
10
00
10
00
10
01
00
01
10
00
00
00
10
00
01
11
00
01
01
10
10
01
10
10
10
01
01
00
00
10
00
01
00
10
10
10
01
00
11
10
00
11
10
10
00
01
11
01
10
10
11
01
10
01
10
10
01
01
11
11
01
00
01
00
00
00
10
10
00
10
11
00
10
11
00
00
11
10
00
00
10
00
01
00
11
10
01
00
10
00
00
10
10
01
01
10
11
00
00
00
01
10
00
01
11
01
00
01
10
10
10
10
10
00
10
10
00
00
00
11
10
10
10
00
10
00
10
01
01
10
10
10
01
00
01
00
10
00
00
00
01
01
11
01
11
10
11
01
01
10
10
10
10
11
00
00
00
01
00
00
01
00
00
11
01
11
10
01
10
01
10
11
11
11
10
00
10
10
10
10
01
01
11
10
01
10
00
01
00
01
00
10
10
11
10
01
01
00
00
10
10
11
11
00
00
10
10
10
10
11
01
10
00
01
00
00
10
00
10
00
10
00
01
10
01
01
11
11
00
00
11
10
00
10
10
10
01
01
10
00
11
00
11
11
00
11
10
11
10
10
00
01
00
11
00
00
11
01
00
10
00
01
10
00
10
10
00
10
10
01
10
10
01
11
10
11
00
00
10
11
10
01
10
10
00
00
00
11
10
00
11
00
10
11
00
00
00
00
10
10
10
01
00
11
00
01
01
00
10
11
10
01
10
01
00
00
01
10
10
00
00
11
10
10
10
00
00
11
11
00
00
10
00
01
10
10
00
00
11
10
01
00
01
00
01
10
10
00
00
01
00
10
10
10
00
11
10
00
10
00
10
10
11
11
10
10
10
01
00
11
10
01
00
11
11
00
10
11
00
10
01
00
11
11
00
00
00
11
00
10
10
01
00
01
11
00
00
00
10
00
10
11
00
00
10
10
00
00
01
10
00
00
11
00
10
10
11
11
01
11
10
10
00
10
10
10
00
10
11
11
10
00
00
10
11
00
11
00
00
00
11
11
00
01
11
10
10
00
00
10
00
11
11
01
00
00
00
10
00
11
10
00
10
00
10
10
10
10
00
00
00
01
00
11
01
00
00
01
00
00
00
00
11
01
10
10
11
10
00
01
10
11
11
10
11
10
00
01
00
01
10
00
10
11
00
00
11
10
00
00
11
00
00
00
10
00
11
11
00
00
10
01
10
01
10
10
00
00
00
11
00
01
01
11
01
10
00
10
00
00
00
10
11
10
01
00
10
00
10
10
10
00
00
10
11
10
10
10
10
00
00
00
00
01
00
01
00
10
11
10
11
00
00
11
00
00
10
00
00
10
10
10
10
00
00
11
01
01
10
00
11
10
01
00
11
10
10
10
01
10
10
11
01
01
10
01
00
10
10
00
10
11
00
00
00
11
11
00
01
11
10
10
10
11
01
10
11
10
11
00
10
00
10
00
00
11
00
10
00
01
10
10
10
00
10
00
00
10
11
01
11
01
11
00
00
11
01
11
11
01
01
00
10
10
10
00
01
10
01
00
00
10
10
10
10
00
00
10
00
10
10
00
10
10
10
00
00
10
01
01
10
10
00
00
11
00
00
10
11
01
00
10
10
10
01
01
11
00
01
10
00
00
00
01
00
11
10
00
01
11
11
01
01
10
00
00
01
10
11
01
01
11
00
10
11
00
10
10
00
00
10
11
00
00
10
10
10
00
10
10
11
10
10
00
01
10
00
10
11
01
10
01
00
00
00
00
00
10
11
01
10
10
11
10
00
00
11
11
00
01
10
00
00
10
01
10
01
00
01
11
11
00
01
01
10
00
01
01
11
11
00
11
00
00
10
00
00
10
10
10
10
01
01
00
10
01
11
11
10
10
00
11
11
11
00
01
11
11
01
10
11
00
10
11
00
00
00
10
11
10
10
11
10
00
00
10
10
11
01
00
00
10
10
10
10
00
00
11
10
11
00
00
10
10
11
00
10
10
00
10
10
00
00
00
00
00
11
01
11
01
00
01
10
00
11
10
10
11
00
01
11
11
00
10
10
00
00
10
10
00
00
10
10
11
10
00
01
10
11
10
01
00
10
11
00
10
10
10
10
00
00
00
00
11
11
00
00
10
00
01
00
00
10
11
01
10
00
10
10
00
11
11
00
11
00
10
10
00
11
00
00
10
10
11
10
10
00
00
00
00
10
00
11
11
10
00
01
10
00
11
00
00
00
10
11
01
00
11
10
11
10
10
01
01
00
11
10
11
00
00
10
10
01
00
11
00
10
11
00
11
00
10
10
11
01
00
10
10
01
11
10
10
00
00
01
10
01
00
11
10
10
10
00
00
10
10
00
11
10
11
00
00
00
00
01
10
00
01
10
10
00
10
01
00
11
10
10
00
00
00
10
10
01
00
10
10
10
10
11
00
00
10
11
00
10
00
00
11
10
10
10
00
01
10
11
00
10
10
11
10
10
00
00
10
10
00
10
00
01
00
11
00
01
00
00
01
00
01
10
10
00
10
00
00
00
10
11
10
01
00
01
00
10
01
00
10
10
00
01
11
01
10
10
10
11
01
10
00
00
11
10
01
00
11
01
00
00
10
10
01
10
10
01
01
00
00
10
11
10
11
01
00
11
10
11
10
10
00
00
10
10
00
00
11
10
00
00
01
00
00
10
01
10
01
10
01
00
10
10
10
01
00
10
00
10
11
10
01
10
00
00
00
11
11
00
00
10
00
01
11
01
01
11
10
11
00
11
00
10
00
00
00
10
10
00
00
00
10
00
01
11
00
00
01
10
11
11
10
10
00
10
01
11
10
01
10
10
00
00
00
10
00
00
00
10
01
11
10
00
11
00
01
00
01
01
10
01
10
00
00
01
10
00
00
10
01
10
11
00
10
00
10
10
10
01
11
10
01
10
00
10
00
10
10
10
00
00
00
10
10
00
00
01
01
01
10
00
11
11
10
10
01
10
10
00
10
00
00
00
10
10
00
01
10
10
01
00
10
10
10
01
10
01
01
10
10
00
00
00
01
00
00
01
10
10
00
10
10
00
00
10
10
01
10
01
11
01
10
00
00
00
10
11
01
01
00
00
10
00
00
10
10
10
01
10
11
11
00
10
01
01
10
10
11
00
00
10
11
00
00
01
00
10
11
10
11
00
10
01
11
11
11
10
01
10
01
00
11
00
00
00
10
10
01
01
11
01
11
10
10
11
10
10
00
00
10
00
00
01
11
00
10
10
11
00
11
10
00
10
00
11
10
10
01
10
10
10
00
00
00
10
10
01
10
00
01
11
00
01
00
10
10
01
00
01
00
10
00
10
11
10
10
00
10
00
10
11
00
01
10
00
01
00
00
11
11
00
00
10
10
00
00
00
11
00
00
00
11
00
11
10
11
00
00
10
01
00
11
10
11
01
10
10
01
00
10
01
10
00
01
10
00
10
10
10
00
01
11
10
10
01
00
00
10
10
11
00
11
11
10
10
11
00
00
10
10
00
01
10
10
00
00
00
10
11
00
11
01
00
00
11
10
00
11
01
00
01
10
10
10
10
00
00
00
10
11
10
00
10
10
10
00
01
11
10
00
11
01
01
10
00
10
10
11
11
00
00
11
10
00
11
10
00
01
10
10
01
11
00
01
11
10
01
10
10
00
11
10
01
00
10
10
10
10
00
01
10
11
10
00
11
10
10
00
10
10
10
00
10
00
01
00
00
10
00
00
10
01
10
11
10
01
00
11
00
00
00
11
01
00
10
11
00
01
10
01
10
01
00
11
10
00
10
00
11
10
10
00
10
00
10
01
00
10
01
00
01
00
10
00
10
11
01
10
01
00
11
11
00
00
10
11
00
11
10
00
10
10
11
10
01
10
01
00
01
10
00
01
10
10
00
10
10
00
00
10
00
01
11
10
01
11
11
00
01
11
10
01
00
10
10
00
00
11
11
10
11
10
00
00
10
00
01
10
10
01
00
11
00
00
10
11
11
00
00
10
00
10
10
00
01
11
01
10
11
11
10
00
10
10
00
10
00
01
10
00
00
10
00
00
10
11
10
01
10
10
11
01
01
11
10
01
01
11
00
00
00
11
00
01
10
00
00
01
00
00
01
01
11
00
00
00
11
10
01
10
10
00
00
11
00
11
10
10
10
10
11
00
01
01
01
00
11
01
10
00
00
10
10
10
01
01
10
01
10
01
10
10
00
10
11
01
10
10
00
00
10
00
00
00
11
10
00
10
10
11
11
10
10
10
10
00
10
01
00
11
10
10
10
10
10
00
10
10
00
10
11
00
10
10
10
00
00
01
00
01
10
00
00
01
10
10
10
10
00
10
10
00
00
10
00
11
00
11
10
00
00
01
10
10
00
00
00
00
00
00
10
10
10
00
11
01
10
00
00
11
11
10
00
00
10
00
11
11
01
11
10
00
11
01
10
01
00
11
00
11
10
01
11
11
10
10
00
11
10
00
01
11
10
00
00
00
11
10
01
01
10
00
00
01
11
00
10
10
00
01
10
10
11
11
01
10
00
11
11
10
10
00
00
10
00
00
11
00
00
11
11
01
11
10
01
10
00
11
00
00
00
10
10
00
01
00
11
00
10
10
10
00
00
11
10
00
11
00
10
10
01
00
10
11
01
11
00
01
01
00
00
01
00
10
00
10
11
11
01
10
10
11
10
10
00
00
00
11
10
00
01
01
00
10
10
01
00
10
00
10
11
01
01
11
00
00
11
00
00
10
11
00
01
10
01
01
10
00
00
10
11
10
00
01
01
10
00
00
10
10
11
00
00
10
11
00
11
00
10
10
10
00
11
11
00
11
10
00
10
00
10
10
00
00
11
00
01
00
10
11
00
01
11
11
01
01
10
00
00
10
00
10
11
00
00
10
00
10
00
01
10
01
11
11
11
01
10
11
00
00
11
00
01
01
01
10
10
01
00
10
11
00
10
10
11
01
10
00
10
00
00
00
00
11
00
00
10
10
10
00
00
11
00
10
11
10
01
00
10
00
01
10
10
10
01
00
01
10
10
00
00
10
00
00
10
10
01
11
10
00
11
10
00
01
00
10
10
10
01
01
10
10
01
00
11
10
10
00
00
10
11
10
01
00
10
10
11
10
01
00
11
10
01
10
10
00
01
10
11
00
01
10
01
10
00
01
10
11
10
10
00
00
11
10
00
00
00
00
01
10
10
10
10
01
10
00
01
00
00
10
10
10
00
10
00
00
00
11
11
11
10
00
11
10
00
10
10
00
00
00
11
01
00
10
01
00
10
00
10
10
10
00
00
11
00
00
00
11
10
00
00
00
10
10
10
10
10
01
10
10
10
10
00
01
10
10
11
00
01
10
01
10
10
10
10
10
10
01
01
01
11
10
00
10
10
00
10
10
01
10
01
00
10
00
01
10
10
10
11
00
01
01
01
01
10
10
01
00
10
00
01
01
01
01
10
10
01
10
00
00
10
10
01
00
10
01
00
11
01
11
00
01
01
00
11
10
00
00
11
10
00
00
11
00
01
11
11
10
00
00
10
11
00
00
11
10
00
00
01
10
10
11
10
00
10
00
00
11
11
01
00
11
11
01
00
10
10
10
00
00
11
11
01
00
01
00
00
00
11
00
01
00
11
01
00
10
10
11
01
10
01
00
11
00
01
11
10
11
10
00
00
10
00
00
01
10
11
10
11
01
10
10
00
00
10
01
00
01
00
11
10
00
10
01
01
10
10
01
10
11
00
11
00
01
10
11
01
10
11
00
01
11
10
00
11
10
10
11
01
01
10
11
00
10
01
10
10
00
10
10
10
01
00
00
00
10
00
00
00
10
10
11
10
00
00
10
10
10
10
11
00
10
00
00
11
01
00
01
10
01
10
11
00
00
11
00
01
10
01
00
10
10
01
10
10
10
00
00
01
10
11
00
00
10
01
10
11
00
10
10
00
00
10
01
01
10
10
01
10
00
00
01
10
00
11
10
11
00
00
00
10
10
00
01
00
11
00
11
11
00
10
11
00
00
00
01
10
10
01
01
11
10
11
10
10
01
01
10
10
00
00
00
11
00
11
11
01
00
11
10
01
00
01
11
00
00
00
10
11
00
00
11
11
11
10
11
00
11
11
00
11
00
11
11
10
00
00
11
10
10
01
00
11
10
10
10
10
00
00
00
10
00
10
11
00
00
10
10
00
00
00
00
10
11
10
01
00
01
01
11
00
01
00
10
10
00
01
00
10
10
11
01
00
11
01
00
10
10
01
01
10
10
01
00
10
00
00
01
01
01
01
00
10
10
10
01
10
11
01
00
11
10
10
00
00
00
00
00
11
01
00
00
00
11
01
00
00
11
00
01
11
10
10
01
11
00
10
10
00
00
10
11
00
00
11
10
01
10
10
10
10
00
00
01
11
10
10
00
00
10
10
10
10
10
10
01
00
01
10
10
00
00
10
01
00
10
10
01
10
10
00
00
10
11
01
10
11
01
00
11
10
00
01
10
00
10
10
00
01
10
01
10
10
00
00
10
10
10
00
11
10
11
01
00
10
00
10
11
10
11
10
00
10
00
10
10
10
00
00
11
10
11
10
11
11
00
11
10
01
00
10
01
10
10
10
00
00
10
00
10
01
01
10
10
10
11
10
10
10
01
10
11
11
00
01
11
10
10
00
01
01
10
01
01
00
01
00
10
11
01
00
10
10
11
10
00
00
10
10
00
00
10
01
00
01
01
10
00
11
10
00
10
10
00
10
00
10
10
00
11
00
11
00
00
01
00
11
10
11
00
11
10
00
10
11
10
01
00
11
00
11
10
00
10
01
00
10
10
11
00
01
01
11
10
11
00
11
10
01
00
00
11
10
01
01
10
11
10
11
01
10
10
00
00
10
10
01
00
00
01
00
00
10
10
10
00
11
10
00
00
10
11
10
01
11
10
00
10
10
10
00
00
00
10
00
00
11
00
10
00
10
00
10
00
01
00
10
01
10
11
10
01
10
11
11
01
10
10
00
10
11
00
00
11
10
00
10
00
10
01
00
10
11
01
11
00
01
00
11
00
00
00
10
10
10
00
01
00
01
01
00
10
11
10
10
10
00
00
10
10
11
00
00
11
10
00
11
11
00
00
10
11
01
10
01
00
10
01
11
10
10
00
00
11
11
00
10
00
11
10
01
10
10
10
00
00
10
10
01
00
11
11
00
11
10
10
00
10
10
01
00
10
00
11
00
11
10
01
00
11
10
01
00
11
10
11
00
11
01
00
10
10
10
00
00
11
10
00
00
10
10
10
11
01
00
10
10
00
10
00
10
10
00
01
11
11
00
00
10
10
10
01
00
00
10
10
00
01
10
10
10
00
10
00
10
00
00
00
10
10
00
00
01
00
10
00
00
10
10
00
11
00
10
10
00
00
00
10
01
10
00
10
00
00
10
01
01
00
10
10
01
01
10
10
01
10
01
01
10
10
00
10
00
00
10
10
01
01
10
00
10
01
11
11
00
10
10
00
00
10
10
11
01
00
01
00
00
10
00
00
10
00
00
10
00
00
10
01
10
10
11
01
10
01
01
01
10
01
00
10
10
00
00
11
11
00
01
10
10
00
10
00
10
00
00
10
11
10
00
10
10
10
01
11
10
00
10
11
11
01
10
00
00
01
01
01
10
00
00
10
01
10
10
10
11
11
01
00
01
01
10
01
10
11
01
10
00
00
11
00
01
00
10
11
00
11
01
00
11
10
00
10
00
00
10
00
00
00
11
10
10
10
01
00
10
00
10
10
01
11
10
10
01
00
10
10
11
11
00
11
10
01
01
00
10
00
10
10
01
00
11
10
00
11
01
10
11
10
01
10
01
00
00
10
10
10
00
01
00
00
11
10
10
10
10
01
00
00
01
10
10
10
00
10
11
00
00
11
10
11
11
00
00
00
00
00
00
10
11
10
00
00
10
10
11
11
01
00
01
10
10
10
10
00
01
00
11
00
01
00
00
00
01
01
10
01
11
00
10
00
01
00
11
11
01
10
10
11
10
00
10
10
01
00
10
11
01
00
00
00
10
10
10
11
01
00
10
10
00
10
00
00
00
00
10
11
10
10
00
10
10
01
00
11
00
01
10
01
00
01
00
11
10
00
10
11
10
00
00
00
00
11
00
01
01
10
00
10
10
01
11
10
10
10
10
01
11
10
01
00
11
00
11
10
10
00
00
01
10
11
00
10
11
10
00
11
00
01
11
10
00
00
00
10
11
01
00
00
10
01
01
00
11
10
11
00
10
10
01
11
11
01
00
11
01
00
11
10
00
01
10
00
10
10
00
10
11
10
10
00
00
00
01
01
11
00
11
00
10
00
00
00
10
10
11
00
01
11
10
10
11
01
00
11
10
00
01
11
11
00
11
10
01
00
00
10
10
00
00
10
10
10
00
10
10
10
00
10
00
00
01
10
10
00
01
10
00
10
00
00
01
10
00
00
00
10
10
10
10
11
01
11
01
00
10
10
10
00
10
10
11
10
01
00
10
00
01
11
01
00
00
00
00
11
10
01
10
10
00
00
00
10
10
10
10
10
00
00
10
11
11
10
10
11
00
11
00
01
10
00
01
00
10
10
00
00
10
11
11
00
11
00
11
00
00
00
00
01
01
01
10
01
00
00
00
00
10
11
00
01
01
10
10
11
00
00
00
10
10
11
00
10
01
10
00
10
10
01
00
00
10
11
11
00
10
01
11
01
10
00
00
11
11
10
10
01
01
00
01
00
00
00
10
10
10
00
01
10
10
10
00
11
10
01
10
10
00
11
10
00
10
11
10
11
00
00
11
10
01
01
11
10
00
11
00
01
10
10
00
00
01
11
11
00
11
01
01
10
01
00
11
01
01
11
10
00
10
00
01
11
00
10
01
00
00
00
00
01
10
10
11
10
10
00
11
11
10
00
01
10
10
10
00
01
00
11
10
11
00
11
10
10
00
01
11
10
10
00
00
01
10
10
00
00
10
10
00
00
10
11
10
00
11
10
01
10
00
10
01
00
11
01
00
10
00
10
10
00
01
10
11
00
01
11
01
01
01
10
10
00
11
00
00
10
10
10
10
10
00
11
11
00
00
00
00
00
10
00
10
10
10
11
10
00
00
11
01
01
11
01
01
11
10
00
10
10
10
10
10
00
10
10
00
10
00
10
11
00
00
00
00
11
00
11
10
10
10
00
10
10
11
01
00
00
00
10
10
00
00
01
11
10
11
00
01
00
01
11
00
00
11
10
01
00
10
11
00
01
10
00
10
11
00
00
00
10
01
10
01
10
01
01
11
10
11
00
00
11
11
00
01
11
10
00
01
00
00
00
11
11
00
01
00
00
00
00
10
00
00
10
11
10
10
10
01
10
11
00
10
11
10
10
00
01
10
11
00
10
01
10
00
10
10
00
11
01
10
01
00
10
10
10
10
01
01
10
11
10
11
00
00
01
10
00
01
00
11
00
00
01
00
01
10
10
01
01
10
00
10
10
10
11
01
00
10
11
00
01
00
00
10
01
00
10
10
00
00
11
11
10
01
01
10
00
10
01
11
00
00
10
00
00
10
00
00
10
10
00
00
11
10
10
00
10
10
01
01
10
01
00
01
11
11
00
01
00
10
10
01
00
10
00
00
10
10
11
10
01
00
00
00
00
00
01
00
10
10
10
10
10
00
00
10
10
01
10
10
10
00
10
10
01
01
10
00
10
01
00
11
01
00
01
00
10
10
11
11
00
00
01
00
11
10
00
10
00
11
10
00
11
10
00
11
00
00
00
10
10
00
01
10
11
01
11
10
00
00
10
01
10
00
01
11
01
01
11
00
11
00
00
11
10
00
11
11
11
00
10
10
11
00
01
01
10
11
01
01
11
10
00
10
00
10
10
01
00
10
10
00
10
01
11
00
00
11
10
10
10
10
10
11
00
11
01
10
11
00
00
10
11
01
10
11
00
10
10
10
11
00
00
10
00
01
10
10
00
10
10
00
01
11
01
11
01
00
00
11
10
00
11
10
00
10
00
10
10
00
00
11
11
00
11
10
01
10
00
01
01
11
11
00
01
10
11
10
00
10
10
11
10
10
01
00
10
10
00
00
01
10
10
00
10
01
11
10
10
01
11
11
00
11
10
01
01
00
10
00
10
00
10
10
01
10
10
11
00
00
10
11
00
00
01
10
10
10
11
00
10
01
00
10
10
10
10
10
00
00
00
11
00
01
10
11
01
00
10
11
01
01
00
11
00
11
10
11
10
00
10
10
10
10
01
00
01
00
10
00
10
00
01
10
10
00
00
11
11
11
01
01
11
10
00
10
10
11
10
00
01
10
10
00
01
00
00
10
10
01
10
10
00
00
10
00
00
00
10
10
00
00
01
00
10
10
01
00
10
10
00
00
01
00
10
00
00
00
10
10
00
10
10
00
01
01
00
11
00
00
10
10
10
01
00
11
00
01
10
11
01
10
11
00
00
11
10
01
11
00
00
10
10
00
10
01
10
11
01
00
00
00
10
10
00
10
10
11
00
11
01
10
11
01
10
00
00
10
00
00
00
10
00
11
11
00
01
00
00
10
00
10
00
00
10
10
00
01
11
11
11
00
00
01
11
00
01
10
10
00
00
10
01
00
11
10
01
01
00
00
11
11
00
10
11
00
00
00
11
11
00
11
10
11
01
10
00
00
01
00
10
10
00
11
10
00
10
01
00
10
10
01
11
10
00
00
10
10
00
00
10
11
00
01
00
10
01
11
11
11
10
00
00
10
10
10
11
01
00
00
01
10
01
00
00
10
00
01
00
00
11
00
01
00
00
10
00
00
00
11
00
01
10
00
11
01
00
01
01
00
10
10
01
01
10
11
11
11
11
00
11
11
10
00
01
00
00
01
11
10
10
00
00
10
10
10
00
00
10
11
10
00
10
01
00
11
10
00
01
01
10
00
00
10
00
01
01
01
00
10
11
11
00
00
11
01
00
00
10
11
10
10
00
10
01
10
01
01
00
10
11
10
00
10
10
10
00
10
11
10
01
11
00
10
00
01
10
00
11
11
00
00
11
10
00
10
00
01
11
11
00
01
01
00
11
10
11
00
00
10
10
10
10
10
00
00
10
10
00
10
10
01
00
11
00
00
10
00
11
10
01
10
10
00
01
00
10
00
01
10
00
00
01
10
00
10
11
00
00
10
10
01
00
00
00
10
10
00
01
11
10
11
00
01
11
00
00
10
00
10
11
01
00
01
10
11
10
01
11
10
01
01
01
11
10
00
00
00
10
00
00
10
11
10
10
00
11
10
01
00
00
00
10
10
00
10
10
11
10
00
01
01
10
10
10
10
00
00
10
00
00
10
11
00
11
01
01
11
11
10
00
00
10
11
00
00
10
01
00
10
10
01
00
11
11
00
00
00
00
11
01
00
10
00
10
10
00
01
00
11
00
11
01
10
11
01
00
01
00
10
00
00
10
11
10
00
10
01
11
10
00
01
00
00
11
00
00
10
10
01
00
11
10
00
10
10
00
00
00
11
10
10
10
00
10
10
00
00
01
10
00
00
00
01
01
10
00
01
10
11
00
01
10
00
00
10
10
00
11
10
00
10
10
10
00
00
10
01
00
01
00
10
10
10
11
10
00
00
00
11
01
11
11
00
00
10
10
11
00
01
10
01
00
01
00
11
10
11
00
11
00
00
00
10
11
10
00
00
01
00
10
00
11
10
00
01
10
10
00
11
00
01
01
00
10
00
01
10
00
00
11
11
11
10
01
10
01
11
01
00
11
11
10
10
01
11
10
11
01
00
11
11
00
00
10
10
11
11
00
00
10
00
01
00
01
10
11
01
10
10
00
10
00
10
00
00
11
01
01
11
01
10
10
10
00
00
11
10
00
11
00
10
10
00
11
00
01
01
10
01
01
10
00
00
11
10
01
00
10
10
10
11
10
10
11
10
00
10
00
10
00
00
00
01
11
10
11
01
00
00
10
00
01
10
11
10
01
00
10
11
00
01
10
10
00
00
10
10
10
01
01
01
00
10
11
00
10
10
11
01
10
01
00
10
01
10
10
01
01
10
00
01
00
11
00
10
10
00
00
10
11
00
10
11
00
00
10
11
10
00
11
01
00
00
10
10
10
00
11
00
11
00
01
11
10
10
10
10
11
01
00
10
00
01
10
00
10
00
01
10
00
10
00
00
00
00
01
00
10
10
10
00
10
01
00
01
10
01
00
00
11
10
00
11
10
01
00
01
00
00
10
10
10
01
10
11
01
00
10
00
10
11
00
00
10
10
11
00
00
10
00
00
01
01
10
10
10
00
00
10
00
11
00
01
00
00
11
00
11
01
01
11
11
11
00
00
11
00
10
01
00
10
10
10
00
10
10
00
10
10
01
01
00
00
00
11
00
01
10
10
00
10
10
00
10
10
00
00
01
01
01
00
10
10
01
11
10
00
10
11
01
00
10
10
01
10
00
00
10
00
01
11
11
01
00
11
10
11
10
10
01
00
10
11
00
00
00
11
10
10
00
00
00
00
00
10
11
01
10
11
01
11
00
10
10
00
00
10
00
00
10
10
01
10
11
10
11
01
10
00
11
11
01
10
11
01
00
01
01
00
01
00
10
10
01
01
01
00
10
10
10
00
10
11
00
10
00
10
00
10
10
01
11
10
00
00
10
00
10
10
00
01
10
11
01
10
11
00
10
10
11
00
11
11
00
11
00
00
00
00
10
10
00
01
00
00
01
00
00
01
10
00
00
01
10
11
00
00
10
10
01
00
00
11
11
11
00
01
10
10
11
01
01
10
10
01
10
10
10
11
00
11
00
00
10
00
01
10
10
10
10
00
10
00
00
11
11
10
01
00
00
10
10
00
10
00
00
10
00
00
01
11
11
01
11
10
10
01
00
10
11
00
01
10
11
10
10
01
10
10
01
01
11
11
10
10
01
11
01
00
10
00
00
11
10
01
00
01
10
10
10
00
10
10
00
00
01
10
10
11
00
10
11
00
01
10
10
11
00
11
00
11
00
10
10
01
10
10
00
00
00
10
10
00
00
00
10
10
11
11
01
00
10
11
10
01
11
10
01
01
01
01
00
11
10
11
01
10
00
00
11
10
10
01
00
11
11
10
00
01
01
10
10
11
01
01
11
00
01
10
01
10
10
00
00
00
10
01
00
10
10
10
00
00
10
10
10
00
01
00
00
00
00
00
11
10
00
01
11
01
10
00
11
00
01
11
10
01
10
10
11
10
00
11
10
00
10
10
00
11
00
11
00
00
10
10
10
00
01
10
00
01
10
00
00
01
10
00
00
00
11
00
00
10
11
00
10
10
00
11
00
00
00
11
11
10
10
00
00
00
10
10
10
10
00
10
10
00
11
00
01
10
11
10
01
00
11
01
01
01
11
01
00
10
10
01
11
01
00
10
01
00
01
10
10
01
11
11
00
10
10
11
10
00
10
11
00
10
11
00
10
11
00
10
10
11
00
01
10
01
10
11
00
00
00
10
00
11
11
00
00
01
10
10
11
00
01
10
11
00
00
00
10
01
01
00
10
10
00
00
00
00
11
00
10
10
01
00
11
01
10
10
00
10
10
00
00
10
10
11
00
01
10
11
00
10
01
00
11
10
01
00
10
10
01
00
00
00
11
00
10
00
00
10
11
10
00
10
10
00
10
10
01
10
10
10
10
00
10
00
00
00
10
10
00
00
00
10
01
10
10
10
01
00
10
11
00
00
10
00
00
00
10
10
00
00
01
10
10
10
11
00
11
10
01
00
10
10
11
11
01
00
10
10
00
10
00
10
10
00
00
00
00
11
11
10
11
10
01
00
11
11
00
01
10
10
00
10
10
00
01
00
01
11
10
00
00
10
00
10
11
10
00
00
11
10
11
00
10
10
10
00
00
01
00
10
10
00
11
01
11
11
11
01
11
01
11
11
00
00
11
00
00
01
00
10
10
10
00
00
00
11
01
00
11
01
10
00
01
10
11
00
00
10
00
00
10
01
01
00
10
10
10
01
00
00
01
10
11
00
11
11
00
00
00
10
11
10
10
00
10
01
01
00
10
01
00
11
11
11
11
11
00
10
11
00
01
10
10
01
00
10
00
11
11
00
00
00
00
10
10
10
01
01
01
10
10
10
11
00
11
10
00
00
00
00
10
00
00
01
10
10
10
11
11
01
00
01
11
10
11
01
10
10
00
11
01
00
10
00
00
00
10
01
01
00
10
01
00
10
10
00
10
10
10
01
11
10
00
10
00
10
10
00
00
11
10
11
00
01
00
11
11
00
00
10
00
01
10
00
00
11
00
10
00
01
00
00
10
10
01
10
00
00
00
00
10
00
00
10
10
11
10
10
00
10
00
10
11
01
00
10
10
00
01
00
10
10
10
00
10
10
11
01
10
10
00
10
11
00
01
10
11
01
11
00
01
00
10
00
01
10
10
10
00
01
11
11
11
10
00
11
10
00
10
11
01
01
10
11
01
00
00
00
00
10
10
00
00
10
10
00
01
01
00
11
00
00
10
10
10
10
00
01
00
01
11
11
10
00
00
10
00
00
10
00
00
00
10
00
01
11
11
10
10
01
01
10
11
10
00
01
00
11
10
00
01
01
10
00
00
10
11
01
00
11
10
01
01
01
10
11
00
01
10
10
00
10
00
00
00
01
11
00
00
10
11
11
10
11
11
11
10
01
00
10
10
00
01
00
10
10
10
10
10
00
10
10
01
10
10
00
01
01
10
01
01
11
10
11
01
10
11
01
10
11
01
00
11
00
00
10
10
00
10
11
10
10
00
10
01
00
10
11
10
00
00
10
01
11
00
01
10
11
11
01
10
10
00
01
10
00
10
00
11
11
01
10
10
00
10
00
00
00
01
11
11
00
10
01
01
10
10
00
00
00
01
10
11
00
10
01
00
10
10
01
10
11
11
00
00
11
11
00
11
01
01
10
10
00
00
10
10
01
11
00
00
10
00
01
00
10
10
10
01
00
00
11
10
00
00
00
01
11
00
10
01
01
10
00
00
01
10
10
10
10
11
00
00
01
00
11
10
11
10
00
00
00
10
11
01
00
00
00
01
00
11
10
00
01
10
01
11
00
01
11
00
01
11
11
00
01
10
10
01
00
11
10
10
11
01
00
10
10
10
10
00
00
01
00
11
11
10
10
10
10
00
00
11
00
00
10
10
10
00
10
10
11
01
00
01
00
10
00
00
00
00
00
10
10
00
10
11
01
00
10
11
10
11
11
11
10
10
10
11
00
00
01
10
01
11
00
01
01
00
11
10
00
11
10
10
11
10
00
01
10
10
10
00
00
10
11
00
01
00
10
10
10
00
01
10
10
11
00
00
00
10
11
10
01
00
10
10
10
10
00
00
11
10
01
00
10
01
01
10
10
00
01
10
11
00
10
11
01
00
00
00
11
10
10
00
00
00
11
10
01
10
10
10
10
11
01
00
11
10
00
11
10
01
11
10
00
11
01
10
00
00
01
10
01
10
10
10
10
10
00
10
00
00
10
00
00
10
10
11
00
10
11
00
00
00
01
00
00
10
10
01
01
10
11
10
11
00
00
10
10
00
11
10
00
10
01
00
11
10
00
11
00
00
00
10
10
10
00
01
00
00
10
00
11
11
01
11
10
10
00
10
00
00
10
10
11
11
10
11
00
10
10
11
00
01
00
10
01
01
10
00
01
10
00
00
11
01
01
01
10
00
10
11
00
01
10
10
01
11
00
11
10
00
01
11
10
10
01
01
00
00
10
11
00
11
00
00
10
10
10
01
10
10
00
01
01
00
00
00
11
00
00
10
10
00
10
01
01
11
10
00
10
10
00
00
00
10
10
00
00
00
10
01
10
10
00
00
10
10
10
00
01
01
11
11
11
10
10
00
00
10
10
00
10
00
00
00
10
10
11
00
01
10
00
10
10
11
10
01
00
11
10
11
00
00
01
00
10
11
11
00
01
11
11
10
01
10
00
11
01
00
11
11
11
00
00
11
11
10
00
00
11
11
01
10
10
00
00
01
00
00
11
01
01
00
00
10
00
00
10
00
00
10
00
01
01
00
10
00
00
10
01
10
00
01
00
00
00
10
11
10
10
11
00
00
00
11
01
10
10
00
00
10
11
00
10
10
00
10
01
00
10
01
10
00
01
00
00
10
10
11
00
11
10
00
11
10
00
00
11
11
11
01
00
10
00
01
10
01
00
11
10
11
10
10
00
01
10
00
11
10
00
00
10
11
00
10
01
10
00
00
11
01
11
00
00
00
10
01
10
11
00
11
11
10
10
00
01
00
10
10
10
00
00
10
10
10
01
10
10
11
10
00
01
00
01
01
00
01
01
00
00
11
10
11
10
00
11
10
10
00
01
00
10
10
00
11
10
10
00
00
10
01
10
00
01
10
10
01
00
10
01
00
11
00
01
10
11
00
00
10
10
00
10
00
01
10
00
00
01
00
10
11
00
10
00
11
01
10
00
00
11
00
00
10
00
00
10
00
01
10
11
11
10
11
00
00
10
11
01
00
10
10
11
10
10
00
00
10
11
10
00
10
11
00
11
01
01
00
10
10
10
00
00
10
10
10
10
10
00
00
01
00
01
00
10
10
01
10
11
10
00
00
00
10
11
00
10
11
10
10
10
11
01
01
01
10
11
10
00
00
10
11
00
01
10
00
01
10
11
00
00
10
00
00
00
01
11
11
10
10
11
01
00
00
10
10
01
00
00
00
00
10
10
10
00
10
00
00
10
00
01
11
11
01
11
01
01
10
00
00
10
11
11
00
00
10
10
10
10
10
10
10
00
11
10
00
00
00
10
00
01
10
11
00
00
11
01
00
11
11
10
00
01
01
00
01
10
10
11
00
00
10
11
10
11
01
00
10
00
11
10
00
01
00
11
10
11
01
01
10
11
01
01
11
10
10
10
00
00
01
01
10
00
10
11
00
00
01
10
10
00
01
11
10
00
00
00
11
00
10
00
10
11
10
00
00
10
10
10
01
10
11
11
10
00
01
00
10
10
00
01
00
01
00
11
00
00
10
11
00
11
10
01
10
01
00
00
00
10
10
00
00
01
11
11
00
00
00
00
00
00
10
10
10
00
01
10
11
00
10
11
00
11
00
00
00
00
10
01
10
10
00
10
10
01
10
01
11
11
01
01
11
10
00
00
00
10
10
10
10
00
11
01
00
00
01
01
11
11
00
00
01
10
10
00
00
10
10
00
00
00
00
01
10
10
10
00
01
11
10
00
00
11
00
01
10
10
00
11
10
00
00
11
00
10
00
10
00
10
10
00
10
00
10
01
00
11
10
11
01
11
00
00
00
10
01
11
10
11
10
10
00
00
00
10
10
01
01
01
00
10
10
11
10
10
00
01
10
01
01
00
11
10
01
11
00
11
10
00
11
10
00
00
10
10
10
10
00
00
00
01
01
10
00
10
00
11
11
10
10
00
01
00
10
01
00
11
01
11
00
00
11
00
10
10
01
10
11
00
10
00
00
10
10
10
10
11
00
10
01
00
01
11
01
10
10
00
10
10
11
11
01
10
11
10
10
00
10
00
10
11
01
00
11
00
10
10
00
00
10
00
01
10
10
00
11
00
10
11
10
00
00
10
10
11
10
10
01
00
00
10
01
01
00
10
11
11
01
01
10
00
11
11
00
01
11
10
00
00
10
11
10
00
00
10
10
01
00
10
10
10
00
01
01
10
11
01
10
11
10
00
00
01
10
10
10
10
00
00
10
01
10
11
10
10
00
11
00
11
01
00
10
00
00
00
11
10
00
11
11
11
01
11
10
10
00
01
00
00
10
11
00
00
11
10
10
10
00
01
00
10
00
10
10
00
10
10
10
11
10
00
00
10
01
00
01
10
10
11
10
10
00
00
00
10
00
00
01
00
10
11
00
01
10
01
10
00
01
10
10
00
10
10
10
00
01
00
10
00
10
11
10
00
00
00
10
11
00
11
10
01
11
11
01
01
01
10
10
10
10
00
10
10
00
01
11
01
00
10
00
00
00
00
10
10
00
00
00
00
10
10
00
00
11
00
00
11
00
10
00
01
10
11
10
11
10
10
11
01
10
01
01
00
11
10
10
10
01
00
00
10
10
01
00
10
10
00
01
10
01
11
11
11
00
10
00
00
10
10
10
00
11
00
01
10
10
10
00
10
00
00
11
11
10
01
00
10
10
00
10
00
01
11
10
00
11
00
00
00
00
11
00
01
01
11
11
00
01
11
01
00
01
10
10
00
01
10
01
10
01
01
11
00
01
01
10
01
00
10
11
00
00
00
00
11
00
00
01
01
10
11
10
00
00
10
11
00
00
10
10
10
11
11
01
10
00
11
01
01
01
01
11
10
11
01
00
01
00
10
10
00
00
00
00
11
01
00
01
11
00
11
10
00
00
10
10
10
00
11
11
00
10
00
01
10
11
11
00
10
10
00
11
10
01
01
11
10
00
10
01
10
10
00
01
10
01
01
10
10
01
00
00
00
00
10
10
10
00
00
10
00
10
10
10
00
00
00
10
10
10
11
00
11
00
00
01
11
10
01
01
10
11
11
01
10
01
00
11
10
00
00
10
00
00
11
10
11
01
01
00
10
00
10
00
10
00
00
11
11
10
00
00
00
00
10
01
00
11
01
10
10
00
10
00
01
10
01
00
11
10
00
10
10
00
00
01
01
10
00
00
11
10
01
11
10
01
01
11
11
00
01
10
00
01
10
11
00
10
10
00
10
11
00
01
11
00
10
00
01
00
11
10
01
00
10
11
10
10
00
00
10
01
11
10
01
00
00
10
10
00
00
11
10
10
00
10
00
10
10
10
10
11
11
01
01
00
01
01
00
01
00
10
10
01
01
01
01
10
11
00
10
00
00
10
00
00
01
10
00
00
00
11
00
10
11
11
00
00
10
11
10
01
01
00
00
00
00
10
00
00
11
00
00
00
10
10
00
10
10
10
10
11
10
01
00
10
00
00
00
10
10
01
01
01
11
01
11
00
10
10
10
10
00
10
00
01
00
00
10
01
00
10
00
01
10
01
01
11
01
00
01
10
00
00
10
00
01
11
10
10
01
01
10
00
11
00
00
10
00
00
11
00
00
10
00
11
11
00
11
01
10
00
00
01
00
01
10
10
11
01
01
00
10
00
00
01
11
10
00
01
10
11
00
10
10
00
11
00
11
10
01
01
00
10
01
10
10
10
10
10
00
10
10
11
10
01
10
00
00
10
11
11
11
01
00
11
00
00
00
00
10
00
11
10
10
00
00
10
10
00
00
00
10
01
01
10
11
00
01
11
11
00
10
01
01
11
10
10
10
00
01
10
00
01
01
01
10
10
11
10
11
11
11
00
11
11
01
00
01
10
10
10
10
01
01
00
11
00
10
01
01
01
01
11
10
10
11
10
00
00
00
10
01
11
11
01
00
10
01
01
10
01
00
00
00
00
10
00
00
11
00
01
11
00
10
10
01
00
10
10
00
10
00
00
10
11
10
00
10
00
11
00
10
00
00
11
00
01
00
10
11
10
00
01
10
11
10
11
00
00
01
00
10
00
10
10
10
10
10
01
00
00
01
10
01
01
10
10
01
10
10
10
00
10
10
00
10
00
11
00
10
01
00
00
11
00
01
10
11
00
01
00
10
01
00
11
10
01
00
11
00
01
11
01
11
10
10
10
10
00
10
01
00
10
11
11
00
11
01
00
11
10
11
01
11
10
00
00
10
00
00
00
10
00
10
01
10
10
10
10
01
10
10
01
10
10
00
11
10
11
01
01
00
10
10
10
00
00
10
11
00
10
10
01
00
01
00
11
00
01
11
10
11
01
10
01
01
10
00
00
10
10
00
00
01
01
10
10
10
11
01
10
10
00
10
10
10
01
01
01
00
10
10
11
10
01
00
11
11
00
01
00
10
11
10
00
00
10
11
00
11
00
11
01
11
00
00
10
11
00
00
00
10
10
00
10
00
11
11
00
10
10
11
10
01
01
00
10
00
00
10
00
11
11
10
00
00
10
11
00
00
01
00
10
00
01
10
11
10
10
01
00
00
11
10
01
00
11
00
10
11
01
00
01
00
11
10
01
11
10
00
00
00
00
00
11
10
10
00
10
10
01
00
00
01
10
10
00
11
00
10
00
10
11
01
01
01
10
10
10
00
00
00
10
10
00
00
00
10
01
10
00
10
00
00
10
00
00
00
00
11
10
01
01
00
10
10
01
00
11
00
00
10
11
00
11
10
10
11
00
11
10
01
00
00
00
00
10
11
10
01
00
10
10
01
00
00
11
11
11
10
10
00
00
00
10
11
01
00
10
10
01
10
10
00
00
10
10
11
00
01
10
10
00
10
00
11
00
11
10
00
00
10
11
10
11
00
10
00
10
00
00
10
11
00
01
00
00
10
00
10
10
10
01
00
10
11
11
10
10
00
11
10
10
00
10
10
00
01
10
00
10
00
00
11
01
00
11
10
00
10
11
01
10
10
01
10
00
11
10
10
01
01
00
10
00
10
01
00
00
00
11
00
10
11
00
10
10
00
00
10
11
00
10
11
00
01
10
10
00
01
11
11
00
00
10
01
00
00
10
10
10
10
00
10
10
10
01
01
11
00
10
00
10
10
10
00
00
01
10
00
00
11
00
00
11
10
11
10
01
11
00
00
11
11
01
00
10
10
11
01
10
01
01
00
10
10
00
10
10
10
11
10
01
00
10
00
01
10
01
10
11
00
11
10
11
00
00
01
11
01
10
00
10
10
10
00
00
10
00
01
11
10
00
11
00
00
10
10
00
10
00
11
00
01
00
10
10
10
10
10
01
00
10
11
11
00
10
10
11
00
01
00
10
10
10
10
00
10
00
10
10
10
01
00
11
10
01
01
00
10
00
11
11
10
10
11
00
01
00
01
11
10
00
00
00
10
01
00
11
00
10
01
00
00
01
00
10
10
00
00
10
01
00
10
10
00
00
00
10
10
10
01
00
00
00
00
10
00
11
01
01
10
11
00
00
00
01
10
10
00
11
01
10
00
10
01
00
00
11
00
10
10
10
10
01
00
01
00
00
00
10
01
11
10
00
00
01
01
11
10
00
10
01
00
01
00
10
11
00
00
11
10
00
10
11
00
01
10
10
10
11
11
01
01
11
00
10
10
00
00
10
11
10
11
01
00
10
01
00
01
01
10
00
01
11
10
10
01
11
10
00
11
11
00
00
01
11
11
10
10
00
00
10
01
11
00
01
10
10
10
00
10
10
00
00
00
10
10
00
01
00
01
00
00
11
10
11
00
00
11
01
10
01
00
00
10
10
10
10
00
00
11
00
00
11
10
01
00
10
11
00
10
10
10
01
00
10
11
10
00
00
10
10
11
11
01
11
10
00
10
10
11
00
01
00
11
10
00
00
10
00
01
01
00
00
10
11
10
01
10
00
00
10
11
10
11
11
10
10
01
01
10
10
01
10
11
10
11
00
00
10
10
01
00
01
01
00
01
01
11
01
11
10
00
11
11
11
00
01
10
00
00
11
00
01
11
10
10
10
01
11
00
10
10
00
11
10
01
00
01
10
01
00
00
00
00
00
10
00
10
10
11
10
00
01
10
00
01
10
01
00
11
10
00
10
11
01
10
11
00
11
10
00
00
00
00
10
10
00
00
11
11
10
11
00
01
00
00
00
11
01
00
00
01
10
11
01
01
11
11
10
10
01
10
00
00
00
10
00
11
11
10
10
11
10
01
10
11
10
10
00
00
00
10
10
01
10
00
00
10
01
10
11
00
01
10
11
00
00
00
00
11
00
00
11
11
01
10
11
00
11
00
10
11
10
00
00
11
11
00
10
11
10
10
01
01
01
00
01
01
10
00
00
00
10
10
01
10
11
11
10
10
01
00
10
01
00
01
11
11
01
00
10
10
10
10
01
00
01
11
01
00
11
00
11
10
00
00
10
11
10
11
01
10
01
11
00
01
00
00
10
10
10
10
00
01
00
00
10
10
10
11
10
00
00
10
10
10
10
00
10
10
00
00
10
11
11
01
10
00
11
01
10
10
00
01
01
11
00
01
00
11
11
10
01
00
10
10
00
00
00
10
11
00
00
00
11
01
00
10
00
11
11
10
00
11
11
01
00
10
00
00
00
10
10
01
11
00
00
11
00
10
01
10
00
00
00
10
00
00
11
11
00
11
10
00
01
00
10
01
10
11
11
00
00
00
10
11
01
00
01
11
01
10
00
00
11
00
01
00
10
10
00
10
10
10
11
10
00
10
00
11
10
00
00
01
10
11
10
11
00
11
10
10
01
00
11
10
10
00
00
11
00
00
10
10
00
10
11
00
00
10
00
00
00
00
10
10
00
00
10
00
10
11
00
01
10
10
00
01
11
00
01
00
11
11
01
11
10
00
00
10
00
10
11
01
10
10
10
10
11
10
10
00
01
00
10
00
01
10
00
11
00
00
10
10
11
00
00
00
11
01
01
01
10
11
01
00
10
01
01
11
00
01
11
10
01
11
11
01
00
10
00
10
10
10
01
00
01
00
10
00
00
00
10
11
01
10
01
10
00
00
10
01
10
11
01
00
01
00
10
10
00
01
00
10
00
00
10
01
00
10
00
10
10
01
10
11
00
11
00
10
00
00
10
00
10
00
11
10
00
01
11
10
11
00
00
00
10
10
00
10
00
10
00
10
00
00
00
10
10
11
11
10
11
01
10
00
10
11
10
10
00
01
11
00
00
01
01
10
00
10
11
10
00
01
11
00
01
00
00
00
01
10
10
00
10
10
11
00
00
11
10
10
00
01
10
01
01
01
00
10
00
00
10
11
11
10
11
01
10
01
10
00
10
10
00
10
10
00
01
11
10
10
11
00
00
01
11
10
00
10
11
00
11
00
01
11
11
00
00
00
10
10
10
10
00
00
10
10
01
11
10
10
00
10
10
00
01
11
10
01
10
10
11
01
01
10
00
00
00
10
10
10
00
00
10
11
10
10
01
01
00
01
01
10
11
01
00
10
11
11
10
00
01
01
01
01
01
11
10
00
11
01
00
11
01
00
11
00
00
10
10
00
10
00
11
00
00
11
00
11
10
10
00
11
10
11
10
00
00
10
00
00
00
10
00
10
00
11
10
00
00
10
11
10
00
01
10
00
00
10
00
11
00
10
11
11
11
00
00
00
00
10
11
00
01
00
10
10
10
00
01
10
10
01
10
10
10
00
00
10
00
10
00
01
00
10
00
00
01
01
11
00
00
10
00
00
10
10
00
00
10
10
00
11
00
10
00
10
10
00
10
01
01
01
01
10
00
00
00
00
00
10
10
10
10
10
11
00
10
01
01
10
11
01
11
10
00
11
00
00
10
00
11
10
10
00
11
10
10
10
00
10
00
10
11
01
10
10
01
11
10
00
01
10
11
00
00
10
11
00
10
00
11
00
10
00
00
00
11
10
00
10
11
00
10
00
10
11
01
11
00
00
01
11
00
00
10
01
00
01
11
10
01
01
00
10
10
11
10
00
00
10
00
11
11
00
10
10
00
11
11
10
11
00
10
11
00
00
10
00
00
00
10
00
11
10
11
10
01
11
01
00
00
00
11
10
00
11
11
01
10
10
00
00
00
00
10
11
10
00
00
00
10
10
00
00
10
01
00
00
11
00
01
11
00
00
11
11
00
00
11
10
10
01
00
01
10
10
11
00
11
10
00
10
00
00
11
11
00
01
10
00
00
11
01
00
10
10
01
00
10
10
01
01
10
01
11
00
00
01
10
01
01
00
10
11
11
10
10
10
00
00
10
11
10
01
11
01
10
01
00
10
11
01
00
10
00
10
00
11
10
00
01
11
00
10
01
01
11
11
01
01
10
00
10
00
00
11
00
10
00
10
11
00
01
10
10
00
11
01
00
00
00
00
11
11
00
00
10
10
10
00
01
10
10
11
10
00
00
00
00
10
10
01
11
00
10
10
00
10
00
01
10
11
00
10
00
10
00
10
10
00
00
01
10
01
10
10
10
11
11
11
10
01
00
01
01
10
00
01
10
10
10
00
01
01
00
01
11
10
11
11
10
10
00
00
01
00
00
10
10
00
00
10
11
00
11
11
11
11
01
00
11
00
00
01
10
01
00
01
10
00
10
10
11
10
10
00
10
00
00
10
10
10
00
10
10
10
01
00
10
10
00
11
00
11
10
01
00
01
01
10
01
10
11
00
11
01
01
00
01
11
10
10
00
00
10
10
10
10
10
00
10
10
00
11
01
00
00
11
10
00
00
00
01
10
10
10
01
10
01
10
10
00
10
10
00
11
10
01
00
10
10
10
00
10
11
01
10
01
10
01
10
10
11
00
00
11
11
00
00
10
00
10
00
10
10
11
10
01
00
00
10
01
00
10
01
01
11
01
01
10
10
10
00
00
00
10
11
01
11
00
01
11
00
01
10
10
00
01
10
01
11
00
00
00
10
10
11
00
10
00
01
00
01
11
00
10
11
11
00
10
10
11
00
01
10
01
01
11
11
10
00
10
00
10
10
00
00
11
10
01
10
00
00
10
10
10
00
00
00
10
11
00
11
10
00
00
10
01
10
01
11
11
01
01
10
00
10
10
11
00
01
11
01
01
10
10
10
00
01
10
11
10
00
10
01
01
10
01
00
00
11
10
10
10
00
00
00
01
01
10
11
00
10
00
00
10
10
10
00
10
10
00
00
00
10
11
00
10
00
00
01
11
01
00
11
00
10
10
01
10
10
00
00
10
00
10
11
10
10
10
00
11
00
10
01
11
10
10
01
00
10
00
11
11
01
01
11
11
00
01
10
00
00
11
10
00
01
10
10
01
00
01
10
01
00
10
00
00
00
10
10
00
11
01
11
01
01
10
10
00
00
11
10
00
01
10
11
00
01
10
01
10
11
00
11
10
00
11
10
00
01
10
11
00
10
11
11
00
10
10
00
00
10
00
10
00
10
00
00
10
00
10
00
00
00
00
11
11
11
00
00
10
01
00
11
10
10
10
11
01
00
01
10
10
00
10
01
00
10
10
10
10
00
01
00
01
00
11
10
01
00
00
01
10
00
00
10
11
10
10
01
00
10
10
10
01
10
00
10
01
10
11
10
01
01
11
00
00
10
10
00
10
11
00
00
00
00
00
10
10
10
10
00
11
00
00
10
11
00
00
11
10
00
00
10
10
11
11
10
00
00
00
01
00
00
10
11
10
10
00
00
11
11
00
10
00
01
00
00
00
11
01
00
01
10
00
00
11
11
10
01
00
10
11
10
00
10
01
01
11
11
10
10
00
00
10
11
01
00
10
00
11
00
01
11
10
11
10
01
00
11
10
00
00
10
00
10
00
01
10
10
10
10
11
10
10
10
10
10
00
00
10
10
10
01
00
00
00
00
10
00
10
11
00
01
00
10
10
11
11
10
10
00
00
00
00
00
01
00
11
10
01
10
01
01
10
11
00
00
00
00
10
10
10
00
10
00
10
11
10
11
01
01
10
10
10
00
00
10
00
01
00
10
10
01
10
11
00
10
01
10
11
00
10
11
01
01
10
00
11
01
00
00
00
10
10
00
10
00
00
00
00
11
00
00
10
10
11
01
01
10
10
10
11
11
11
01
01
10
11
10
11
10
00
00
10
10
00
01
00
01
10
00
00
00
11
00
10
10
11
10
00
01
11
10
10
11
01
00
00
10
11
00
10
11
01
00
11
00
10
10
00
10
10
00
01
11
01
11
00
00
11
00
00
10
10
00
00
10
11
00
00
10
10
00
11
00
01
10
00
00
00
10
10
10
00
11
01
00
11
00
10
10
00
01
10
10
00
10
10
10
01
10
11
00
00
01
00
00
01
11
10
00
00
11
10
10
10
01
10
10
01
01
10
10
00
11
00
11
01
11
01
10
11
10
00
10
10
00
00
00
01
10
10
00
11
00
10
10
00
00
10
11
10
00
00
11
10
10
01
01
10
10
01
11
00
10
10
01
01
00
00
10
11
00
01
00
00
01
10
10
01
10
10
00
10
11
00
00
01
00
11
01
01
10
11
00
10
10
01
00
10
10
00
11
00
01
00
10
00
00
01
00
11
10
10
00
00
10
01
01
10
01
00
10
00
11
01
00
11
10
01
01
00
10
10
10
00
00
10
10
10
00
01
10
11
00
11
10
01
00
10
00
00
10
11
00
00
10
10
10
01
00
10
10
11
11
00
00
00
10
10
10
00
11
10
01
00
10
11
10
10
01
00
10
10
11
01
00
11
00
10
01
10
11
00
00
10
10
11
00
01
10
00
10
01
10
11
00
00
10
10
00
00
10
11
01
00
00
00
00
10
00
00
10
11
00
00
01
11
10
01
00
10
10
01
01
10
00
01
01
00
01
10
10
11
01
01
11
00
00
00
01
00
01
00
10
10
10
10
10
10
00
11
11
10
10
10
00
00
00
10
11
00
11
10
01
10
10
00
00
01
10
10
10
11
00
10
10
00
10
00
01
10
00
00
00
00
00
10
10
10
00
00
01
10
11
01
00
10
11
00
00
11
10
00
01
11
10
10
00
00
10
00
01
10
01
01
11
01
10
10
01
00
11
10
00
00
11
11
00
00
10
10
00
11
10
01
10
10
10
11
00
00
10
10
10
00
01
10
00
00
00
11
00
00
10
10
10
10
11
10
00
10
00
11
10
00
01
10
01
10
00
10
00
10
10
10
00
00
00
10
10
01
10
11
10
01
00
10
01
00
10
10
01
10
00
00
01
00
11
00
00
01
10
10
01
01
10
01
10
00
10
10
00
00
11
10
11
00
11
00
10
01
00
00
10
11
01
00
10
11
00
11
10
00
10
11
00
11
01
10
10
10
00
01
10
10
00
00
11
10
11
00
00
10
00
11
00
01
00
10
10
01
00
00
00
01
11
10
10
10
10
10
01
10
00
01
00
00
10
11
00
11
11
10
00
00
01
11
10
00
00
11
00
10
10
01
01
10
00
10
00
00
00
11
10
11
10
01
01
00
11
11
01
00
10
11
00
00
10
01
00
10
10
11
10
10
01
11
00
01
11
10
00
00
10
01
10
01
10
10
01
11
10
00
00
10
00
10
11
10
00
00
00
01
11
00
01
10
00
00
11
10
10
00
00
11
10
01
10
10
00
10
10
00
10
10
01
10
10
01
10
00
00
11
10
10
01
00
00
11
10
01
10
10
11
10
10
10
11
00
00
00
10
00
00
11
11
11
00
01
10
00
11
00
00
11
01
01
00
10
10
11
10
10
00
10
11
00
10
00
00
10
00
01
11
10
00
10
01
00
01
00
00
10
00
00
10
00
00
10
01
10
00
11
00
10
01
11
10
11
10
10
00
10
10
11
00
01
01
01
10
00
10
10
00
00
01
01
11
00
00
11
10
00
00
10
10
01
01
11
11
00
00
10
00
00
00
00
11
10
10
00
10
11
10
10
11
11
11
10
00
10
00
10
11
01
01
11
10
11
00
11
10
10
11
01
00
00
00
10
10
01
10
01
01
11
10
10
01
00
10
11
11
00
11
11
10
01
00
10
11
10
00
01
00
10
11
10
01
10
01
10
00
01
10
11
00
10
10
00
10
10
00
00
00
10
01
10
00
11
10
11
01
01
10
00
00
11
10
00
00
00
01
01
10
10
00
00
00
10
10
00
00
11
10
00
10
10
00
10
01
10
11
00
11
11
01
00
10
11
01
00
10
11
01
00
10
11
00
01
10
10
10
00
00
10
10
00
10
10
00
00
00
10
00
00
10
00
11
10
11
10
01
00
10
01
10
10
00
11
10
10
01
00
11
11
00
11
10
01
00
11
10
00
00
10
00
00
00
10
11
00
00
00
11
10
10
11
11
10
01
00
00
01
01
11
00
00
10
00
01
10
10
00
10
01
00
00
10
00
00
11
10
00
00
10
00
00
00
11
10
11
10
11
11
00
00
00
10
10
01
01
11
00
10
10
00
10
11
00
00
01
11
10
00
11
00
10
00
00
11
00
01
10
00
01
10
11
00
01
10
00
01
11
10
10
01
00
11
10
01
01
10
10
10
00
11
10
01
10
10
01
00
10
11
00
01
10
10
01
00
11
11
01
01
10
00
00
10
00
11
11
00
10
00
11
10
10
11
10
01
00
00
10
10
00
10
11
11
01
01
00
10
10
10
01
01
10
00
11
10
00
00
00
10
10
11
10
00
01
00
10
01
10
10
00
01
11
01
00
11
00
01
01
10
11
10
00
00
10
11
01
10
10
11
01
01
00
01
10
00
00
00
01
11
00
00
01
10
00
10
11
10
10
00
10
01
11
10
00
01
00
01
10
00
00
10
10
11
00
11
00
00
10
11
10
10
01
01
10
10
01
00
01
10
01
00
01
10
10
10
00
00
11
10
11
10
10
00
11
00
00
10
00
00
00
01
10
01
11
11
00
11
00
00
10
10
00
11
00
00
10
01
10
00
01
00
10
00
10
01
10
11
00
00
10
11
00
01
10
10
10
11
00
00
00
10
10
10
00
01
11
00
11
10
01
00
10
10
10
10
01
01
11
10
00
10
01
11
11
00
00
11
10
11
00
11
10
00
01
01
00
01
11
11
01
10
10
00
00
10
00
00
10
01
10
00
00
10
00
10
10
00
00
00
10
00
10
10
00
01
11
10
11
10
10
10
01
00
01
11
11
10
10
00
00
00
10
10
00
10
10
10
10
11
11
01
10
00
11
00
11
01
00
11
00
01
10
10
00
00
10
10
00
00
10
11
10
00
00
01
00
10
11
00
00
00
10
11
00
00
00
11
10
00
10
00
11
00
00
10
10
00
10
10
10
00
00
10
10
10
00
00
11
00
00
01
00
00
00
10
11
00
11
10
00
10
11
00
10
00
00
10
10
01
00
11
01
10
00
00
10
11
01
10
10
00
10
00
00
00
00
00
10
01
01
11
10
10
10
11
11
00
11
10
01
00
11
11
11
01
00
00
00
11
11
00
10
11
10
01
00
00
01
00
10
10
00
10
00
10
00
01
00
10
10
00
00
00
00
00
01
10
10
00
10
11
00
10
11
10
01
10
01
11
00
00
10
01
00
00
10
10
00
00
10
00
10
00
10
10
00
10
10
10
10
00
00
11
11
10
00
00
00
11
10
00
00
10
10
00
10
10
01
01
00
10
10
10
10
00
01
00
10
00
11
11
11
01
10
11
10
00
00
11
11
00
00
00
00
00
01
10
00
11
10
01
11
00
10
01
11
00
11
00
01
00
01
10
10
00
00
10
10
11
00
00
00
00
10
01
11
01
10
10
00
10
10
01
00
11
10
01
00
01
11
11
10
01
00
11
10
00
00
00
00
10
10
00
11
10
10
01
11
00
00
00
00
00
10
11
00
00
10
00
00
11
00
00
10
11
10
00
01
10
11
10
10
00
00
10
01
00
10
10
00
00
01
00
10
11
01
00
00
11
11
00
00
10
00
00
10
00
10
11
10
10
11
00
10
00
00
10
00
10
11
00
10
10
00
00
10
11
01
01
11
10
01
01
11
10
11
11
00
11
11
01
00
10
00
01
11
10
10
11
10
10
11
01
01
11
01
10
01
11
10
01
00
11
11
01
10
00
11
11
00
01
01
00
10
01
01
10
10
00
00
11
10
00
01
10
10
00
10
10
10
00
00
10
10
00
00
10
10
10
00
10
00
10
01
10
10
01
00
11
00
10
10
01
10
01
10
10
10
01
00
01
11
10
10
11
00
10
11
00
01
11
00
10
10
00
11
11
01
10
10
00
11
10
00
00
10
11
00
01
10
10
00
00
00
10
11
00
01
10
01
01
10
01
00
00
10
00
00
00
00
10
10
00
00
10
10
11
10
10
01
00
10
10
10
00
10
11
10
00
00
11
10
11
11
10
10
10
10
11
01
00
00
00
10
10
00
00
01
10
00
10
01
10
10
00
00
01
11
01
00
10
00
00
10
11
11
00
00
11
10
00
10
10
00
00
10
01
11
10
00
11
00
00
11
10
00
00
00
00
01
10
10
11
11
10
11
10
00
01
01
00
11
00
01
01
01
01
10
11
00
10
10
01
00
00
11
11
00
10
10
00
10
00
10
11
01
10
10
00
00
10
10
00
10
10
00
11
10
00
00
00
11
00
00
10
10
00
00
10
10
01
11
10
00
11
10
10
00
10
10
11
00
01
00
00
10
11
01
00
01
10
11
00
00
11
11
01
00
00
10
00
00
11
11
10
00
11
11
01
10
00
01
10
11
10
10
01
00
01
00
01
11
11
00
11
10
01
00
00
11
10
10
01
01
10
11
10
10
10
00
10
11
01
00
00
10
00
10
10
00
10
11
01
10
11
11
11
11
00
10
01
00
11
10
00
01
00
10
10
00
00
01
10
10
11
01
01
00
00
00
10
10
00
11
10
10
00
11
00
00
01
00
01
00
10
10
01
00
00
00
11
00
11
11
10
10
00
00
00
11
00
00
00
10
10
00
11
10
00
10
11
00
10
11
11
11
01
10
10
01
00
01
00
00
00
10
10
00
00
00
01
11
00
10
10
11
11
00
00
10
10
00
00
11
00
01
10
01
10
11
00
10
11
00
10
10
00
00
10
11
00
01
10
10
00
11
01
01
10
00
11
11
00
00
10
11
01
10
10
01
00
01
01
11
00
11
11
11
01
00
10
00
00
10
01
10
10
00
01
00
11
00
00
00
11
00
00
10
10
00
01
10
01
00
10
10
10
11
00
00
00
11
00
10
00
00
11
00
01
00
00
11
10
11
10
10
11
01
01
11
10
01
11
10
10
10
00
00
01
10
10
11
10
11
11
10
11
10
10
10
00
01
11
11
00
00
00
01
00
10
00
00
11
01
01
10
11
00
10
10
10
01
11
10
00
00
00
01
11
10
00
00
00
10
10
10
00
00
00
10
11
11
10
10
10
10
00
00
00
10
11
00
10
11
11
01
10
10
01
11
10
11
00
00
10
10
00
01
00
11
10
10
10
11
00
11
11
10
11
10
10
10
01
00
00
00
10
00
00
00
00
10
10
00
01
01
00
01
11
00
00
10
10
10
11
10
11
00
01
10
10
01
11
10
00
00
00
11
10
10
00
00
10
00
10
11
11
00
11
00
00
00
10
01
10
01
00
00
11
00
01
00
00
10
01
00
00
10
11
00
11
01
11
00
11
10
00
01
10
11
11
11
00
00
10
11
10
00
00
11
10
10
01
00
10
00
00
00
01
10
11
01
00
00
01
00
10
00
00
11
10
00
11
11
00
10
01
01
11
00
10
11
10
10
00
10
00
10
10
00
00
10
01
11
00
00
01
10
00
00
10
00
11
00
10
00
10
10
01
10
11
10
10
11
00
10
11
10
00
01
00
11
01
11
00
00
00
01
10
10
10
01
00
00
10
10
00
00
11
00
11
10
10
10
01
01
11
10
00
01
01
01
00
11
11
10
00
11
11
00
10
10
00
00
00
11
10
00
00
10
00
00
00
00
00
10
10
10
00
10
00
10
00
00
00
00
10
00
10
10
01
11
10
01
11
01
00
00
00
10
00
01
00
11
01
01
11
01
11
00
00
10
10
00
11
10
01
10
00
11
01
00
00
01
10
10
10
00
01
01
00
11
11
10
01
00
11
00
11
10
00
01
00
11
11
11
00
11
10
00
10
10
00
01
11
11
11
01
00
01
10
10
00
01
10
10
10
00
00
00
10
10
00
10
10
11
01
11
10
11
00
01
00
11
00
10
00
10
10
00
10
10
00
00
00
01
10
10
01
00
00
11
00
00
10
10
00
00
00
10
11
10
10
10
10
01
10
11
00
11
01
00
00
10
00
01
01
11
01
11
11
10
00
00
11
10
00
01
10
10
01
10
00
11
11
00
11
00
10
10
10
10
00
00
00
01
10
01
11
00
00
11
10
11
01
00
10
10
01
00
10
00
01
00
00
11
00
10
11
00
00
00
01
10
10
10
01
00
10
10
01
01
11
00
10
10
00
00
01
10
10
00
00
10
10
00
10
11
00
01
10
00
00
10
00
10
10
01
10
10
01
10
10
01
00
11
00
00
01
00
10
00
00
10
10
00
10
01
00
00
00
01
00
11
10
01
00
11
00
00
00
11
10
11
01
00
00
00
00
11
11
00
01
10
10
01
10
10
10
00
00
10
01
00
11
00
10
10
10
11
01
01
00
00
10
00
00
00
00
10
00
00
01
10
10
01
10
01
11
10
00
00
00
01
10
10
11
10
01
00
10
10
10
01
00
01
10
10
01
10
11
11
10
10
10
10
00
00
00
11
10
10
10
00
10
01
01
10
11
00
01
00
00
00
10
10
01
10
11
00
11
01
00
00
00
10
10
10
00
00
00
11
01
10
10
10
10
00
01
11
00
00
10
10
01
00
11
10
01
10
11
00
00
00
01
00
10
10
01
10
00
00
11
10
00
10
01
10
10
01
10
11
01
01
10
11
11
11
11
10
00
00
11
10
10
00
00
00
10
10
10
10
00
01
00
00
00
10
10
10
00
10
11
11
00
00
00
00
11
10
01
10
10
11
10
01
00
01
10
11
11
10
10
10
10
01
11
01
00
10
01
10
01
10
00
10
10
00
10
00
00
11
00
00
01
10
10
10
10
11
00
00
10
10
00
01
00
10
10
10
00
10
11
11
00
11
00
01
01
00
11
00
00
00
00
10
10
00
00
10
10
11
00
00
00
10
01
01
11
10
01
10
00
00
11
01
10
00
01
01
11
11
00
00
11
11
00
10
11
11
00
11
00
00
01
10
01
01
11
10
11
00
10
11
10
11
00
01
00
10
11
10
10
01
11
10
00
10
11
10
01
10
10
00
00
00
11
10
10
10
10
00
11
00
01
00
10
11
00
11
10
11
00
10
10
00
10
10
11
00
10
10
10
11
00
01
10
01
00
10
01
10
00
00
00
10
00
00
11
01
00
11
00
10
01
01
01
10
10
01
10
10
00
10
00
10
00
10
00
10
11
01
10
01
10
11
00
10
01
11
00
11
00
00
11
11
10
00
00
10
10
00
01
01
00
10
00
10
10
00
01
10
11
10
01
11
00
01
00
10
00
00
10
10
11
01
00
00
00
10
10
00
00
00
10
01
10
10
11
00
00
10
10
10
11
00
10
10
10
10
10
00
00
10
00
11
11
01
10
01
01
00
11
10
01
10
11
01
10
10
00
00
10
11
00
00
01
11
10
10
01
01
01
11
11
00
01
10
10
00
10
10
00
10
01
00
10
01
11
11
10
10
00
00
10
10
11
00
11
11
00
10
10
10
11
00
00
00
10
00
01
10
10
11
00
10
10
11
10
00
00
10
10
01
10
01
00
00
10
01
00
10
01
00
00
10
11
01
00
00
10
00
00
10
00
10
11
00
10
10
01
01
00
00
10
10
00
10
11
00
00
10
00
00
10
01
10
11
01
10
00
01
11
10
10
00
00
00
00
10
01
01
00
01
00
11
10
10
00
11
00
10
11
00
11
01
11
10
00
01
10
00
11
00
00
00
11
00
00
10
10
11
10
01
00
10
00
01
01
00
11
01
11
11
00
00
00
00
10
00
00
11
11
01
01
11
01
10
01
00
00
00
10
10
00
10
11
11
01
01
01
11
10
00
01
01
10
11
00
00
10
10
10
10
00
01
10
11
10
01
10
10
10
00
10
10
00
00
01
10
10
00
10
11
10
11
00
10
10
10
00
11
10
00
10
01
10
01
10
10
00
10
10
01
01
10
01
01
10
00
10
10
01
00
00
11
10
00
00
11
10
01
11
10
01
10
11
01
11
10
11
10
00
10
00
00
11
01
01
00
01
01
00
10
10
10
11
11
11
00
00
10
10
00
00
11
10
01
00
00
01
00
11
01
01
00
00
00
00
10
01
00
11
01
00
11
00
10
10
10
00
00
00
10
10
11
00
11
00
01
10
00
00
11
00
10
10
01
01
00
00
10
11
10
11
00
10
11
10
10
00
01
11
10
00
00
11
11
10
00
01
10
00
00
11
10
10
00
00
00
10
10
00
01
00
10
11
00
11
00
11
10
00
00
10
10
00
00
10
00
10
00
00
10
10
01
00
00
01
01
01
11
00
10
00
10
00
10
10
01
10
10
01
00
00
10
10
01
00
00
10
00
10
01
00
10
10
10
00
00
10
00
11
01
00
00
10
00
10
00
01
10
10
11
00
10
11
00
10
10
11
00
10
00
01
00
01
10
10
11
01
00
00
00
10
01
10
00
00
00
10
11
00
10
10
10
00
00
01
00
10
11
00
11
10
00
00
11
10
01
00
10
11
11
00
11
11
00
11
10
11
10
11
00
01
10
11
01
10
01
00
00
01
11
10
10
10
00
11
11
00
11
00
01
01
00
10
00
00
10
10
00
01
01
00
00
01
11
00
11
10
10
00
10
00
00
10
10
10
00
00
11
11
01
10
01
00
01
00
10
00
00
10
10
10
10
10
00
11
00
11
00
00
00
10
11
10
10
00
10
10
00
11
10
10
11
11
10
11
00
01
00
01
00
10
00
01
10
10
10
00
10
00
00
01
10
01
00
11
11
10
10
00
00
11
01
10
00
10
11
11
10
01
00
01
00
10
10
10
10
11
01
00
00
11
00
10
00
00
10
10
00
00
00
00
10
10
00
00
00
00
00
10
10
01
11
00
10
01
11
10
00
10
10
00
11
11
00
01
11
01
00
01
10
10
00
00
00
10
10
01
01
01
10
10
11
10
00
11
10
00
00
11
00
00
10
11
00
11
01
01
10
10
10
01
00
11
11
10
01
00
10
01
00
10
10
00
01
10
00
11
01
11
11
00
11
01
01
00
01
10
10
10
00
11
10
11
10
00
10
00
10
10
11
00
11
01
00
10
10
11
10
01
01
11
11
10
00
11
00
00
11
10
00
00
00
00
01
00
01
10
11
10
11
01
10
10
10
01
00
01
10
00
11
10
10
10
00
00
00
00
10
10
00
10
10
01
01
00
10
00
00
01
00
10
11
01
00
10
01
10
01
00
11
11
01
00
01
01
11
00
00
00
10
10
01
11
10
10
00
00
00
00
01
00
10
01
10
00
00
10
10
01
11
11
10
01
00
11
01
00
01
11
10
11
01
00
00
11
11
00
00
11
01
00
00
10
10
00
00
10
11
00
01
11
01
00
10
10
11
10
11
01
00
11
00
00
00
10
10
00
00
00
11
10
10
01
01
11
11
10
00
01
11
10
00
01
10
10
00
00
10
00
00
10
00
10
00
10
10
11
00
10
10
11
00
00
00
00
10
10
11
00
00
00
00
11
11
10
01
00
10
10
11
00
11
01
00
10
00
00
10
10
00
11
00
01
10
10
10
00
10
11
01
00
10
10
10
00
00
10
01
01
00
00
01
11
00
01
10
10
11
00
10
11
10
00
10
11
00
00
10
11
11
00
00
10
11
10
00
11
00
01
00
00
01
11
01
00
00
10
10
11
10
00
00
00
11
00
00
11
10
00
01
10
00
00
10
10
10
01
10
11
00
01
01
01
10
00
00
10
00
01
11
10
01
11
00
11
00
11
10
00
00
00
10
11
00
11
00
01
11
00
01
11
10
01
00
10
00
10
10
00
00
10
01
00
10
11
10
01
00
10
00
11
00
11
10
10
01
10
11
00
01
10
00
10
01
00
11
10
00
10
00
00
01
01
11
00
00
00
11
11
00
01
01
10
10
00
00
00
01
11
10
10
10
10
10
10
00
00
10
01
01
01
10
00
10
10
10
00
10
00
11
00
10
10
10
10
11
00
01
00
00
10
10
00
10
10
00
10
11
10
10
11
10
10
01
10
01
00
00
01
10
10
10
10
10
00
10
01
10
00
10
10
11
00
01
11
10
00
10
10
00
01
01
11
10
01
00
01
10
11
10
01
10
00
00
11
00
01
11
11
11
10
10
01
11
00
00
10
00
00
11
00
11
10
11
10
01
00
00
10
10
00
00
01
10
10
00
10
00
10
10
00
00
00
10
00
01
01
11
01
11
10
00
11
00
00
10
10
00
10
00
11
00
00
00
10
00
00
10
00
10
00
10
00
00
01
10
10
10
00
10
10
00
10
10
01
11
00
10
00
10
10
00
00
10
11
01
10
10
00
01
00
10
10
00
00
11
00
00
11
10
11
01
01
00
11
11
01
01
10
10
11
00
11
10
00
11
10
11
10
01
00
10
01
10
00
00
10
10
11
01
00
01
00
00
00
00
01
00
11
10
10
01
10
00
00
11
10
10
10
11
10
10
11
10
11
01
00
11
11
00
01
00
00
10
10
01
00
10
00
01
10
11
10
00
00
10
00
10
11
01
00
00
01
01
10
00
01
11
10
00
10
00
10
00
00
10
10
01
10
10
01
00
11
00
00
00
01
00
01
00
10
11
01
10
00
10
10
11
00
00
10
10
00
10
00
01
11
00
11
11
11
10
01
00
11
10
11
01
00
00
10
11
10
10
10
01
00
01
10
10
00
10
11
00
00
10
10
11
01
10
10
00
00
01
00
10
01
10
01
00
00
10
01
01
10
00
00
00
11
10
00
00
01
10
01
10
00
10
00
11
10
01
10
11
00
00
10
00
11
10
00
00
00
11
00
11
10
11
10
10
00
11
00
00
10
01
10
01
00
11
01
00
10
00
00
10
11
00
01
00
11
00
10
01
10
10
00
00
11
00
01
01
10
10
11
10
01
10
11
00
00
00
00
10
10
00
00
10
11
10
01
10
00
01
00
00
00
10
10
11
10
11
11
01
11
01
11
00
01
11
10
11
00
01
10
11
10
10
00
10
01
01
00
10
10
10
11
00
00
01
10
10
10
11
10
00
11
00
00
10
00
11
00
00
01
11
00
00
01
10
01
11
10
00
00
10
10
10
10
01
01
10
10
01
00
10
10
01
00
00
10
01
10
10
00
00
10
00
00
10
00
00
00
11
00
10
00
00
10
10
00
00
01
00
01
10
10
00
01
10
10
11
00
00
10
10
11
00
01
00
00
11
10
00
10
10
01
00
10
00
01
01
11
01
11
10
00
00
11
10
01
11
10
11
00
10
10
01
11
01
10
11
00
00
11
00
11
11
01
01
10
10
11
01
00
01
10
10
00
01
00
01
00
10
11
10
10
10
10
01
10
00
00
10
00
10
00
01
10
10
10
10
10
00
00
00
11
01
11
01
11
10
00
01
10
00
01
10
10
10
00
00
01
00
10
10
00
10
01
00
11
00
00
11
01
11
10
10
00
01
01
10
01
00
10
11
00
00
10
00
01
00
10
00
00
01
10
10
00
11
10
10
00
10
00
00
10
00
01
10
11
00
01
00
00
11
10
10
00
10
10
00
10
00
10
01
01
10
10
00
00
01
10
10
00
00
10
00
10
10
10
00
01
11
00
01
10
10
01
11
10
01
01
10
10
01
10
10
01
11
10
00
11
00
00
01
10
10
00
10
01
00
01
10
10
00
01
00
00
10
10
01
01
10
00
00
00
10
01
00
00
10
00
10
10
10
00
10
00
10
01
10
00
10
00
00
01
10
10
10
11
00
10
10
01
10
01
11
10
01
10
00
10
01
11
00
01
11
10
01
10
11
00
10
00
01
11
00
10
00
10
10
11
10
00
10
00
00
01
00
11
10
00
11
00
00
00
00
11
01
10
00
11
00
10
00
00
11
11
00
10
10
11
11
10
10
00
00
00
11
01
11
00
01
10
11
10
11
00
00
10
10
00
01
00
11
00
00
10
01
00
01
10
11
10
10
01
10
00
00
10
10
00
01
01
11
10
01
10
00
11
01
10
10
10
00
10
10
00
00
00
00
11
10
00
00
10
10
01
00
10
00
00
01
00
11
01
01
10
11
10
00
11
10
11
11
11
00
00
00
10
11
01
01
10
00
10
10
00
10
10
00
00
10
11
10
11
00
01
10
10
00
00
10
10
01
00
01
10
10
10
01
00
00
11
10
01
00
11
10
00
10
11
11
00
00
11
00
00
00
01
10
11
10
01
10
00
00
00
10
10
10
00
00
10
11
10
00
10
10
00
10
10
00
00
10
00
11
00
10
11
10
00
00
10
00
11
11
11
11
01
01
11
00
00
11
10
00
01
11
01
10
00
01
11
11
10
00
01
10
11
00
01
10
11
01
10
00
10
00
00
00
11
00
00
10
10
00
10
00
11
10
00
10
10
00
10
00
10
00
00
11
00
00
00
00
10
01
01
10
10
10
11
01
00
00
00
00
01
10
10
01
10
10
10
10
01
10
10
11
10
10
00
11
10
10
00
01
00
01
10
00
10
11
00
00
10
10
00
01
10
10
00
11
11
00
10
11
00
11
00
00
11
10
01
00
01
00
00
10
11
10
01
10
10
10
01
11
00
00
10
10
11
00
10
11
00
01
01
00
01
10
10
01
10
10
10
10
00
00
01
00
00
10
10
11
10
00
01
10
00
10
01
00
00
11
10
11
11
10
01
00
01
10
01
01
00
10
11
10
11
10
10
01
00
11
00
11
10
00
10
10
01
01
00
11
01
01
10
11
00
01
01
11
00
10
00
00
10
10
00
00
00
10
10
01
10
10
00
10
10
10
01
00
01
11
00
00
11
00
01
10
10
01
10
10
10
11
00
01
10
01
10
01
00
10
10
10
00
00
00
11
00
00
00
00
10
00
00
10
11
10
11
01
00
11
11
10
01
00
11
11
00
00
10
00
00
10
00
10
11
01
00
11
11
00
10
00
10
01
00
00
10
10
11
10
10
10
00
11
01
00
01
11
11
10
01
00
10
10
00
01
10
01
11
10
00
00
00
10
10
10
10
01
01
00
10
00
10
01
00
10
10
00
11
10
00
01
00
01
11
11
10
11
00
11
00
01
00
10
10
01
00
00
11
10
11
00
00
11
10
01
10
10
00
10
00
00
00
11
10
01
10
01
10
00
00
10
10
01
10
10
00
01
10
11
00
00
11
11
00
11
00
10
10
11
00
00
10
10
00
00
10
00
10
10
10
10
01
00
11
10
10
00
10
11
01
10
10
10
10
00
00
10
10
01
01
10
00
00
01
10
01
00
10
10
01
10
10
10
00
01
00
10
10
01
10
10
00
00
00
01
00
00
01
10
11
11
11
11
10
00
10
00
00
11
00
00
00
10
10
01
01
10
10
10
00
11
10
01
01
10
11
00
10
00
11
11
11
10
00
00
00
01
00
01
10
11
10
01
00
01
00
11
10
11
11
00
00
00
00
10
00
01
10
11
10
10
00
00
11
00
00
01
00
00
10
00
10
01
11
10
10
00
00
10
10
00
11
10
10
01
00
10
11
11
01
11
11
00
00
10
01
10
00
01
11
11
10
11
11
11
00
01
00
11
00
00
00
10
10
00
10
11
10
00
10
00
10
01
00
00
10
10
00
01
10
00
01
10
10
00
10
00
11
00
00
01
00
10
11
01
11
10
11
11
11
00
10
00
11
10
01
01
11
11
00
11
00
01
10
00
10
10
00
01
10
11
11
00
00
00
00
10
00
00
00
00
01
10
10
10
10
10
10
00
11
10
10
01
10
01
10
10
10
00
10
10
01
00
01
10
11
10
01
01
00
00
11
10
01
10
11
00
01
10
00
01
11
00
00
10
11
11
00
00
10
01
01
00
10
10
10
00
00
00
01
01
10
00
01
00
10
10
10
11
00
01
11
11
01
10
00
00
10
10
00
01
10
10
00
01
10
00
11
00
10
10
11
10
10
11
11
00
01
10
00
11
11
00
00
00
10
01
11
00
01
10
00
00
10
10
00
01
10
00
00
10
11
01
01
01
11
10
10
11
01
11
00
01
10
10
10
11
01
00
01
10
00
10
00
10
11
00
01
10
10
10
10
11
00
10
10
01
10
10
10
00
01
01
10
10
11
00
00
10
00
00
00
10
11
10
10
10
00
00
00
10
10
00
01
01
01
10
01
11
11
10
10
00
00
01
10
10
00
11
11
10
00
00
10
10
10
00
10
10
01
01
11
10
00
00
00
10
10
10
00
01
00
11
00
01
00
10
10
10
00
00
00
10
11
00
00
00
00
01
10
10
00
00
00
10
10
00
11
11
01
00
00
10
00
11
00
10
10
10
00
00
01
00
10
11
00
00
00
10
11
11
10
10
10
00
10
10
00
00
01
10
00
11
10
00
01
01
10
00
00
00
01
00
10
11
00
01
10
00
10
11
10
10
00
00
11
00
01
00
00
10
00
00
00
01
11
01
01
00
10
00
00
10
11
01
00
00
00
11
10
00
11
11
10
00
00
10
00
01
11
11
10
11
10
00
00
00
00
00
10
10
00
10
10
00
00
11
00
01
11
00
01
10
10
10
01
00
01
10
10
10
00
01
11
11
10
10
01
11
01
00
10
10
11
00
11
00
00
11
01
00
01
00
10
00
00
10
01
00
00
00
11
10
10
11
00
10
10
00
10
01
11
00
00
11
00
10
11
01
00
10
00
10
01
00
10
00
11
00
00
00
11
00
01
11
11
10
10
11
10
10
10
00
00
01
00
10
11
01
10
00
00
00
10
00
00
10
00
10
11
00
10
00
01
00
11
10
01
00
11
10
11
11
00
10
10
01
00
10
10
00
10
10
10
01
00
10
10
10
00
11
00
00
10
10
10
01
10
01
11
00
11
00
10
01
00
10
11
00
00
10
10
00
11
11
10
00
00
10
00
00
01
10
10
10
01
01
00
00
10
10
01
00
00
00
00
11
10
10
10
00
00
00
10
10
11
01
01
00
11
00
01
11
00
00
11
10
10
00
01
11
10
10
01
01
11
00
11
00
00
00
10
10
00
01
00
10
11
10
11
10
00
10
11
10
01
00
10
00
00
01
10
01
00
10
00
10
10
00
10
11
11
01
10
11
01
00
01
00
10
10
10
01
01
10
01
00
01
11
00
10
10
01
10
01
01
11
10
00
00
10
00
11
00
01
10
11
01
00
11
10
10
00
00
00
00
11
01
10
01
00
00
10
10
00
01
00
01
10
11
00
10
01
10
00
00
10
11
01
01
10
01
00
01
00
00
11
10
00
11
01
00
01
10
10
00
00
10
10
01
10
00
00
10
11
01
01
01
10
10
00
00
11
00
11
10
01
00
00
00
10
00
00
10
01
10
11
01
10
00
00
10
10
11
00
10
10
11
10
10
00
00
00
00
00
00
01
10
10
01
10
10
11
10
01
01
00
01
10
00
11
11
00
01
10
10
00
00
11
11
11
11
00
00
10
10
01
01
11
10
10
00
00
10
10
10
00
00
00
00
00
10
10
10
00
00
10
11
10
10
01
00
11
01
11
11
00
01
00
10
10
01
00
11
11
01
00
10
00
00
11
10
11
01
11
11
01
11
10
10
00
10
01
00
10
11
11
01
11
00
11
00
00
11
10
10
01
00
10
00
11
10
00
01
00
00
00
00
10
10
00
00
00
11
00
00
00
00
00
11
01
11
10
11
10
00
01
00
10
10
00
01
00
00
01
10
00
10
00
01
00
00
11
00
10
10
10
01
00
00
01
10
11
11
10
10
10
10
00
11
10
00
01
11
11
10
00
10
10
00
00
10
10
01
10
01
11
11
10
01
10
00
00
01
10
11
01
01
10
00
01
10
10
10
10
00
11
10
01
10
01
00
00
01
10
10
01
10
11
10
01
00
01
00
10
00
00
00
10
01
00
10
01
11
10
00
10
11
00
00
10
00
11
00
00
00
00
11
00
01
10
10
01
00
11
00
00
00
00
11
00
11
10
10
01
00
01
01
00
11
10
00
00
10
10
01
00
10
00
00
01
01
00
11
10
11
10
10
11
00
10
11
00
01
10
00
10
01
01
10
01
01
11
10
01
10
11
00
00
10
11
00
00
01
10
10
10
11
01
10
00
10
00
00
01
00
00
11
11
01
00
10
01
10
10
01
10
10
10
10
00
00
11
10
10
10
00
10
10
00
01
10
10
11
00
10
01
11
10
00
10
11
00
00
11
00
01
01
10
00
00
00
00
00
10
00
01
00
10
00
00
00
00
11
10
11
10
00
00
11
00
11
01
00
00
10
10
10
01
10
01
01
11
00
11
10
10
10
11
01
00
10
11
00
01
11
00
01
10
10
00
00
11
10
10
01
01
10
00
11
01
10
11
00
01
10
11
10
00
00
10
00
01
10
11
01
10
11
00
11
11
00
10
11
01
01
00
11
10
11
11
00
11
10
10
00
10
10
01
10
00
00
00
01
00
01
11
00
10
11
10
00
10
11
10
00
00
01
00
00
01
10
11
00
00
10
00
10
01
10
11
00
01
00
10
00
10
01
01
00
10
10
10
11
10
10
00
11
01
00
00
00
00
10
10
11
10
00
00
01
00
10
10
00
11
01
01
10
10
10
00
00
00
10
11
00
01
10
10
01
01
00
10
00
10
00
01
01
00
00
01
10
10
00
10
11
10
11
00
01
10
00
11
00
00
11
10
10
01
10
00
10
10
01
00
00
00
00
10
10
00
01
10
11
00
01
10
10
10
10
10
11
00
00
10
10
11
01
11
00
00
00
00
11
00
10
10
10
10
01
10
00
11
00
10
01
11
00
10
11
10
10
10
11
00
00
10
10
00
00
00
10
10
01
10
01
01
10
01
01
11
00
11
11
10
11
00
00
11
10
01
00
10
11
00
00
01
00
11
11
00
00
00
00
00
00
11
00
10
10
01
11
10
11
10
00
00
11
00
10
00
00
00
10
10
11
01
10
10
10
11
00
10
00
10
10
00
01
11
10
11
00
00
00
10
11
00
11
10
00
01
10
11
10
11
10
01
00
10
00
11
00
11
00
10
11
00
00
00
11
10
00
10
11
11
00
01
11
10
01
10
01
10
11
00
10
10
00
01
10
10
00
00
00
10
10
00
10
11
00
00
10
10
00
00
00
00
10
10
10
10
11
11
11
00
10
11
11
00
01
10
10
10
00
01
11
10
01
11
10
10
01
01
01
11
11
11
00
00
10
01
00
10
10
00
00
01
10
10
10
00
00
00
00
11
00
00
10
10
11
10
10
10
00
10
10
01
11
10
00
01
01
11
10
10
01
00
10
11
00
00
11
10
01
00
10
10
10
01
00
00
10
01
10
01
00
10
11
11
10
00
11
10
01
00
00
00
11
00
10
00
01
01
01
10
10
10
11
00
10
10
00
00
10
10
01
10
00
01
10
10
00
01
10
11
00
11
10
00
00
01
01
11
10
01
10
11
10
01
00
11
00
00
01
10
11
11
00
00
00
10
10
11
00
11
10
10
11
00
10
00
01
10
01
00
00
01
10
11
01
00
10
00
00
00
00
11
00
10
11
00
00
00
11
10
10
01
00
11
11
00
10
11
01
00
00
00
10
10
00
10
01
10
00
10
10
10
10
01
10
11
01
10
00
00
10
01
10
11
00
00
00
00
01
11
00
01
10
01
01
10
10
01
11
00
00
10
00
10
00
10
00
00
11
11
10
00
00
00
10
00
10
10
00
10
00
11
10
01
00
01
10
01
10
11
00
00
11
10
11
00
00
00
10
01
00
11
10
10
01
00
10
10
10
01
11
00
00
00
01
01
11
11
00
10
00
00
11
10
00
00
10
10
11
00
00
10
10
10
01
00
01
00
10
00
01
11
11
11
00
11
11
00
10
11
01
01
00
10
10
01
10
10
10
00
01
01
11
10
10
00
11
10
00
10
00
11
01
10
00
01
01
00
11
00
01
00
10
00
10
01
10
10
01
10
00
10
10
10
11
00
00
00
10
00
01
11
10
11
00
11
10
00
00
10
00
01
00
10
11
00
01
10
00
00
10
10
00
10
10
01
01
10
01
11
01
01
10
10
01
10
11
10
01
00
00
01
10
10
00
10
10
00
00
01
00
01
01
00
01
00
10
10
10
01
10
10
00
10
00
01
00
11
00
10
10
11
01
01
10
11
10
10
11
10
00
00
00
10
10
10
10
10
01
00
10
10
00
00
00
00
11
10
00
10
10
11
00
00
00
10
11
10
00
00
00
00
00
10
10
10
00
00
10
10
00
10
00
00
10
11
10
11
10
00
10
10
00
10
10
00
00
10
01
10
01
00
00
11
00
11
10
10
01
00
10
11
10
00
10
01
01
00
10
10
10
00
10
01
00
00
10
01
00
11
00
10
01
10
10
10
00
01
11
11
00
01
11
00
00
11
10
00
00
00
00
10
10
00
00
10
11
00
11
00
00
00
00
10
11
01
00
10
01
11
00
00
10
01
10
01
10
10
00
00
00
10
01
00
01
10
10
00
10
00
10
10
00
00
00
01
00
11
11
10
11
11
11
00
00
10
11
10
00
00
10
01
00
01
10
10
10
10
10
11
10
00
00
10
00
10
10
01
01
01
11
11
10
00
10
10
00
10
10
00
01
10
01
11
01
00
11
00
00
01
11
10
01
00
11
11
01
11
10
00
10
00
01
00
11
11
10
10
01
11
01
00
10
11
01
00
01
00
10
01
01
11
10
01
01
10
10
10
01
01
10
11
11
00
00
00
00
01
11
01
10
10
10
01
11
00
10
10
00
00
01
00
10
01
10
10
10
00
00
01
10
10
00
01
10
10
00
01
10
00
10
11
10
00
11
11
11
00
10
01
11
00
10
00
00
10
10
00
00
00
10
00
10
10
11
10
10
10
10
00
10
11
00
10
10
11
10
11
00
00
10
00
00
11
00
00
10
00
01
11
11
10
10
01
01
01
11
11
10
10
00
10
00
00
11
11
00
10
10
11
00
10
10
10
00
00
00
01
10
01
11
11
10
10
00
01
10
10
00
00
10
11
10
10
01
00
10
01
00
01
00
11
10
11
10
01
10
10
00
00
10
11
00
00
00
00
11
00
01
01
10
10
10
00
10
10
01
11
01
00
11
01
10
11
00
00
10
10
00
00
01
10
10
00
01
00
11
00
11
11
11
10
01
00
10
00
00
10
10
11
01
10
00
10
11
00
10
10
01
00
11
10
01
00
01
01
01
00
10
00
01
00
10
10
00
00
10
11
01
00
11
10
10
00
00
00
11
11
01
10
10
11
10
00
00
01
10
11
00
00
10
11
00
10
00
10
11
00
00
10
00
11
10
00
00
10
00
10
10
01
10
11
10
10
01
00
01
00
00
10
11
00
00
10
10
00
00
11
10
11
00
10
00
00
01
10
00
00
10
11
10
10
11
00
11
00
01
10
01
00
10
10
01
10
01
01
10
01
11
10
00
01
10
01
01
10
11
10
11
10
00
00
00
10
11
01
01
10
11
11
10
11
00
00
10
10
00
10
01
10
00
10
00
10
00
00
10
10
01
01
10
01
11
11
01
01
00
00
10
11
10
00
10
10
00
00
10
10
10
01
00
10
01
01
00
01
01
10
10
01
10
11
00
00
00
01
00
10
01
01
11
10
01
01
00
00
10
00
01
10
10
10
00
00
00
00
10
10
00
00
11
11
00
00
10
10
10
10
01
00
10
10
10
00
01
01
11
11
01
00
00
01
01
00
01
00
10
00
01
10
11
00
00
01
11
01
01
10
10
01
01
01
01
10
11
00
10
01
10
00
00
11
10
00
01
10
00
01
10
01
11
01
01
11
01
10
10
00
11
11
01
10
10
10
10
10
00
00
10
01
10
10
10
10
00
00
10
11
10
01
01
00
00
10
00
01
10
11
10
10
01
00
10
10
10
00
10
10
10
10
00
10
10
01
00
00
10
00
10
11
00
11
10
01
00
01
00
10
00
00
11
11
00
01
10
11
10
10
01
11
10
10
00
00
10
01
10
11
10
01
00
00
00
00
01
10
00
10
00
10
10
01
00
10
01
11
00
01
11
10
10
00
11
00
00
01
10
10
00
10
11
10
00
00
10
00
10
01
01
10
10
00
00
00
11
10
00
00
10
10
00
10
10
00
01
00
11
00
00
00
01
10
00
00
10
11
00
10
10
00
00
10
00
01
00
01
00
00
01
11
10
11
00
00
10
01
10
01
00
11
00
00
10
10
00
00
00
10
10
10
01
11
00
10
11
00
10
10
11
00
00
10
10
00
01
00
00
00
11
01
10
00
00
01
00
10
00
00
00
10
10
10
10
10
00
10
01
00
00
00
00
10
01
10
00
11
10
10
00
00
00
01
00
01
10
10
00
00
11
00
00
10
10
00
10
11
10
10
11
00
00
10
10
00
11
00
10
00
00
10
00
00
00
01
10
00
10
00
11
01
10
00
01
11
11
11
00
00
10
10
01
00
00
11
10
00
00
10
11
00
01
00
11
10
11
00
10
00
00
10
10
00
01
11
00
11
00
10
00
00
10
00
00
01
10
10
11
10
01
10
10
11
00
01
11
00
01
11
10
10
10
00
00
10
10
01
10
11
01
00
00
00
10
10
10
10
00
10
00
01
00
10
00
11
10
00
00
11
10
01
00
11
10
00
00
10
11
00
01
00
00
10
10
10
10
00
00
01
01
01
00
01
00
11
10
01
11
00
01
00
00
10
00
10
10
00
00
00
00
00
11
00
00
00
11
01
10
10
00
00
10
10
11
00
00
10
10
10
10
01
01
10
11
10
11
01
10
01
00
10
10
01
01
11
01
00
11
00
00
11
11
00
10
10
00
10
11
00
10
11
10
00
01
10
01
00
00
11
11
01
11
10
01
00
10
10
10
01
01
01
00
11
11
11
01
00
11
10
00
00
10
11
00
00
00
10
11
11
01
10
00
01
11
10
10
00
00
11
00
01
11
00
10
10
00
10
01
00
00
00
11
10
10
11
00
00
00
00
10
11
01
10
00
00
10
10
10
00
11
01
11
01
01
00
00
10
10
11
01
01
10
00
01
10
01
11
00
00
00
00
10
10
10
10
11
01
00
00
00
00
10
00
11
10
00
00
00
01
11
10
00
10
10
00
10
00
11
11
10
10
01
11
00
00
10
00
00
11
11
01
01
00
00
01
10
10
10
10
01
01
01
11
00
00
01
10
10
00
00
10
10
00
10
10
00
00
01
00
00
00
00
01
10
10
10
11
00
11
10
11
00
00
00
11
10
01
00
01
10
10
00
10
10
00
01
11
00
10
11
00
10
00
00
00
00
00
11
10
10
11
01
11
00
01
10
00
10
10
10
00
11
10
01
00
00
00
10
00
10
10
00
11
00
11
11
00
10
10
00
11
10
00
01
10
10
01
10
11
01
11
10
00
10
11
10
00
10
10
01
10
10
01
01
10
11
01
00
00
00
11
01
11
10
10
10
01
10
10
00
01
10
10
00
11
00
00
00
00
00
01
01
11
10
00
10
10
10
10
00
01
01
01
10
10
11
01
11
10
01
00
10
00
10
10
10
00
00
01
01
01
01
01
00
00
11
10
01
00
10
10
00
01
00
01
10
00
00
01
01
01
00
10
10
11
11
01
10
10
11
01
00
10
11
10
10
11
00
00
00
10
10
00
10
10
10
00
00
00
10
01
10
00
10
01
10
00
00
11
10
11
00
11
11
01
01
01
01
11
00
00
11
10
10
11
01
11
01
11
00
01
01
00
10
10
01
10
10
00
01
01
00
10
10
10
10
10
01
01
00
00
10
00
01
00
00
11
11
11
00
10
10
11
00
00
00
11
00
01
11
01
11
01
10
11
01
01
01
00
11
10
10
00
11
10
10
00
00
10
10
10
00
01
10
11
10
01
10
11
00
10
10
00
11
10
00
01
00
10
00
11
01
00
10
10
11
00
11
10
01
10
00
10
11
10
01
01
00
00
00
11
10
00
10
10
00
00
10
00
00
01
00
00
00
10
00
10
10
01
01
10
00
00
10
10
01
00
11
10
01
00
10
01
10
00
11
00
01
10
11
10
10
00
00
10
10
10
00
00
00
01
11
00
01
10
00
10
01
10
00
00
11
10
11
11
00
10
11
00
00
00
11
11
00
11
10
01
11
00
00
11
01
01
10
10
11
00
00
10
00
10
10
01
10
10
10
00
00
10
00
11
10
11
10
00
10
00
10
11
00
00
01
10
01
01
10
01
00
01
10
01
11
11
00
10
00
10
00
01
00
00
01
10
00
00
00
10
10
01
00
01
10
10
11
10
11
00
00
10
10
10
00
01
10
01
01
11
01
00
00
00
00
10
10
01
00
10
01
00
00
10
00
11
00
00
00
10
10
00
11
11
00
11
00
00
10
01
01
00
10
00
10
10
10
10
00
00
00
00
10
00
10
00
10
10
10
11
00
01
10
00
10
00
01
11
10
11
11
10
00
10
10
00
01
10
10
10
00
00
00
10
00
11
00
01
00
01
00
01
10
10
00
01
01
10
11
00
11
00
01
00
11
10
00
01
00
10
11
10
10
10
00
11
10
00
10
01
10
01
10
10
00
00
10
00
00
11
00
01
11
10
00
00
01
00
10
00
11
01
00
00
00
10
00
01
10
11
00
11
10
10
01
00
10
01
10
00
11
10
00
01
10
11
00
10
10
00
10
11
00
01
10
10
10
01
10
10
00
00
10
00
11
11
01
01
00
10
10
01
11
00
00
10
11
01
00
10
10
00
11
10
01
00
10
00
00
01
11
10
00
00
10
10
01
00
10
10
00
10
10
01
00
01
10
10
11
11
10
11
01
01
00
10
01
00
00
10
10
00
10
10
11
00
10
11
00
10
00
10
00
11
10
00
00
10
10
10
10
10
00
00
10
00
00
01
10
11
10
00
10
11
00
00
01
11
00
00
00
11
11
10
00
11
01
00
11
10
10
10
00
00
01
10
11
10
10
00
10
10
10
00
01
10
11
10
10
10
00
01
01
10
11
00
01
11
01
00
00
10
10
11
00
01
01
10
00
01
00
10
11
00
00
10
01
00
11
00
11
10
00
11
00
10
00
00
10
00
11
00
11
00
10
10
10
00
01
10
00
10
10
00
01
00
00
10
01
11
11
11
10
10
00
00
00
10
10
00
01
11
00
01
00
00
00
00
01
10
01
01
01
01
00
10
01
10
10
11
00
01
10
11
01
01
11
10
11
00
01
10
10
00
11
10
10
10
00
00
00
11
11
10
00
01
10
10
11
01
00
11
10
11
10
10
00
01
00
10
10
11
10
01
00
11
10
10
11
00
00
10
11
00
00
01
10
00
10
10
10
01
10
00
00
00
10
10
10
11
01
00
00
10
00
11
00
00
11
01
00
11
01
11
00
10
10
00
00
00
10
10
11
10
00
00
10
11
01
11
10
00
00
10
10
10
10
00
01
10
01
00
10
11
00
10
10
11
00
11
01
00
11
11
11
11
01
00
11
00
00
10
10
01
10
10
00
10
00
11
00
00
00
10
00
01
10
10
11
10
11
10
01
00
10
10
00
01
11
00
00
10
10
11
01
10
00
11
00
10
11
01
01
01
10
10
10
00
00
10
10
00
10
00
00
01
10
01
10
10
00
00
00
10
10
00
00
10
10
00
00
10
01
01
10
01
01
10
00
00
01
10
10
00
10
10
11
00
10
10
00
01
11
00
10
00
01
00
00
00
01
11
01
11
10
11
00
10
01
00
10
11
10
01
00
01
10
00
00
11
10
00
11
10
11
10
01
01
00
11
00
00
10
11
00
00
00
11
00
10
11
00
10
10
00
10
00
00
10
10
01
10
00
01
00
00
10
00
10
10
10
00
01
10
10
10
01
01
00
01
01
10
11
01
10
10
00
01
11
10
11
00
01
10
11
00
00
10
10
11
00
00
11
10
00
00
10
10
01
00
10
00
10
00
01
11
10
01
00
00
00
00
00
11
10
00
10
10
00
00
00
01
10
10
01
00
10
00
11
10
00
00
00
00
00
00
00
10
10
10
00
00
00
10
10
01
10
01
11
00
01
10
00
00
00
10
11
01
01
11
10
00
01
00
10
00
00
11
11
00
10
10
00
00
11
10
00
00
11
11
00
11
00
11
11
01
00
10
11
00
10
11
10
11
10
01
01
10
01
10
01
00
00
11
10
01
11
11
00
00
10
01
11
10
00
01
01
00
10
11
00
00
10
11
10
00
00
10
11
10
11
10
10
00
10
10
01
10
10
00
00
11
00
11
10
01
10
01
00
00
00
00
10
10
10
00
11
10
00
00
00
00
00
00
00
11
10
00
10
00
11
00
01
00
11
00
11
01
00
11
10
00
00
11
10
01
11
10
11
00
00
11
11
01
00
11
10
10
00
00
11
10
00
01
10
11
00
00
01
10
01
11
10
00
11
00
10
10
00
00
00
10
10
11
00
00
00
00
11
10
11
10
10
10
11
10
10
01
00
01
10
00
10
10
10
10
11
00
10
10
01
00
10
10
01
01
10
10
11
01
00
11
00
11
10
01
10
00
10
10
11
00
00
10
10
10
01
10
00
10
00
01
00
10
10
01
11
00
00
10
00
10
10
01
01
01
11
00
00
10
00
10
10
00
00
10
10
10
00
00
00
00
10
01
00
01
10
10
10
10
10
10
00
00
10
11
01
01
11
00
10
01
10
10
01
00
00
00
10
11
00
01
00
10
00
01
10
01
01
01
11
10
01
10
10
01
00
11
10
01
00
10
00
10
00
00
01
11
00
11
00
10
00
00
00
11
11
00
10
10
10
10
00
01
00
10
01
10
10
10
10
01
00
11
01
11
00
00
10
11
00
10
00
00
11
00
00
10
10
10
00
00
10
00
01
10
00
11
11
01
10
01
00
10
10
00
00
11
10
00
11
10
10
11
11
01
01
10
00
00
10
00
01
00
11
01
00
11
00
11
10
10
00
00
00
00
10
10
00
11
00
10
01
00
00
00
10
00
10
00
10
10
11
01
00
00
00
00
01
01
10
10
01
00
00
00
10
00
01
00
00
11
10
00
00
10
01
11
10
11
00
01
11
10
11
00
01
10
10
10
01
01
10
10
00
10
11
01
10
01
00
10
10
10
00
11
10
00
00
10
10
00
01
10
10
00
11
01
11
11
01
10
00
00
10
10
10
10
00
10
00
10
00
10
10
10
10
00
10
11
00
01
11
01
00
11
10
00
10
11
00
00
10
10
00
11
01
01
10
01
01
00
00
00
00
10
00
10
00
10
10
11
11
01
10
00
10
00
00
11
01
00
00
11
00
11
10
01
11
11
00
10
11
10
00
00
00
00
11
00
10
10
00
10
11
01
10
00
00
11
10
11
10
11
11
00
00
01
00
10
00
01
11
10
10
00
00
00
00
10
10
00
10
00
00
00
11
10
11
10
11
01
00
00
01
01
00
11
10
11
00
11
00
10
10
00
00
10
11
01
11
10
01
01
10
10
01
10
11
10
11
10
00
10
00
00
00
00
10
10
01
00
01
10
10
11
00
00
10
00
00
10
11
11
11
00
11
11
01
01
00
00
10
10
10
11
01
11
11
10
11
00
00
01
10
10
11
10
00
00
10
11
10
00
00
10
00
11
11
00
01
00
01
10
11
10
11
10
00
01
10
11
00
00
10
00
00
11
10
01
10
01
00
00
00
01
00
10
00
10
00
10
00
11
10
00
00
00
10
10
01
00
01
10
10
01
11
01
10
10
00
00
10
10
00
01
10
01
10
00
10
10
10
01
10
10
11
00
01
00
11
01
10
11
11
10
01
10
10
00
01
00
00
11
11
10
10
11
11
00
00
00
11
00
00
00
11
10
01
11
01
11
11
00
11
10
01
10
11
00
11
10
00
00
10
10
10
00
01
01
01
11
00
11
01
11
11
11
10
00
10
00
10
01
00
11
11
11
10
01
00
11
10
01
11
10
11
00
10
00
11
10
01
01
10
11
00
10
00
10
01
10
10
00
00
10
11
10
00
00
11
10
01
10
11
10
10
10
10
10
00
11
01
10
10
10
10
10
11
00
00
11
10
00
10
10
00
10
00
11
11
01
10
00
11
10
10
01
01
10
10
10
00
11
11
01
00
00
10
01
00
11
10
11
00
11
10
01
11
01
11
11
00
01
00
10
00
00
10
11
01
01
01
00
10
00
10
10
00
00
11
01
00
10
00
00
00
00
10
11
11
10
01
01
10
00
00
11
10
00
00
10
11
11
00
01
10
11
00
01
10
10
10
01
11
00
00
11
01
10
01
11
10
10
01
00
01
00
10
00
00
10
01
01
10
10
00
00
11
10
00
00
00
00
10
10
10
10
10
10
10
11
01
00
10
11
01
00
01
00
10
01
10
10
10
00
00
10
10
01
11
10
01
10
01
00
00
10
11
00
01
10
10
11
11
01
01
00
00
10
00
00
01
00
10
10
11
00
10
01
00
11
00
01
11
10
11
11
10
00
00
00
00
00
00
10
10
00
00
10
10
10
00
10
01
00
10
00
10
00
10
10
00
01
10
01
00
10
01
00
10
00
10
10
10
01
00
00
11
10
11
10
10
00
10
01
00
00
10
00
00
00
01
00
10
10
00
00
11
00
10
01
01
10
00
00
00
11
00
10
10
01
00
10
10
01
00
10
10
00
01
00
00
10
11
10
11
00
10
10
01
11
01
00
10
00
00
10
10
11
00
11
00
00
10
10
10
10
01
00
11
10
11
11
01
00
01
00
10
01
00
11
10
00
00
11
00
00
00
10
00
10
11
00
01
11
00
00
00
00
11
01
00
01
00
00
00
11
10
00
00
10
01
00
10
00
10
10
00
10
10
10
01
00
10
00
00
01
00
11
10
10
01
10
00
01
01
10
00
00
10
11
11
00
01
10
10
01
10
11
00
00
11
01
01
01
11
10
00
10
11
00
00
10
11
00
00
00
10
10
00
10
11
00
00
00
00
01
11
00
10
01
00
00
11
00
10
01
00
11
10
00
01
11
00
00
11
10
00
11
11
00
10
10
10
00
00
00
11
10
00
11
11
10
01
00
10
10
00
10
00
10
10
01
01
10
11
10
01
10
00
00
01
00
11
00
11
10
11
10
01
10
10
11
00
10
10
00
00
00
10
00
10
00
10
10
01
00
11
00
10
11
11
00
01
10
10
11
10
01
00
10
10
11
00
00
11
01
01
00
10
11
00
11
00
00
00
10
10
10
00
01
10
00
00
01
10
10
11
11
10
10
01
00
01
11
11
00
10
10
00
00
00
11
10
11
11
00
01
10
00
00
10
10
11
00
00
11
01
01
00
10
11
00
10
10
10
00
11
10
11
00
00
00
11
00
00
11
00
00
11
00
00
00
10
10
10
01
10
01
10
10
01
10
11
00
01
10
10
11
01
00
10
01
00
10
10
11
00
00
10
01
11
10
10
01
00
11
11
10
01
00
01
00
10
10
00
11
10
00
01
10
00
10
10
00
00
10
11
10
10
01
10
10
00
10
10
00
10
10
01
01
11
10
01
00
01
00
11
10
00
10
10
10
00
01
10
00
00
00
10
00
00
10
00
10
00
10
00
11
10
10
10
00
10
00
10
10
00
10
10
00
00
11
10
10
01
01
00
01
00
01
10
10
00
10
11
00
00
10
00
00
10
00
10
01
10
00
00
11
00
00
00
10
10
00
00
10
10
01
01
00
00
00
00
10
01
10
00
01
01
10
11
00
10
01
11
00
01
10
11
10
10
01
00
00
00
10
11
10
00
10
10
01
10
01
11
00
00
00
01
10
00
00
11
11
00
01
11
10
00
10
10
00
00
10
00
11
10
00
10
10
00
10
10
00
00
00
10
10
11
10
00
01
10
10
00
00
10
00
10
00
00
01
00
00
00
10
10
10
11
01
10
11
10
01
10
10
00
10
00
01
10
10
10
00
11
10
10
00
10
00
00
00
00
00
11
10
00
10
10
10
01
10
01
00
00
10
01
10
10
11
00
10
10
00
00
00
10
10
10
10
10
11
01
00
10
10
10
01
11
00
10
00
00
00
10
11
11
01
01
10
01
11
00
00
00
00
10
00
00
10
11
00
10
00
10
10
10
01
01
10
01
11
01
10
00
01
11
10
11
00
00
00
00
10
10
00
00
10
10
01
01
11
00
10
11
10
10
01
00
11
00
01
10
11
10
11
01
00
10
10
10
10
01
00
01
10
10
10
11
00
00
01
10
11
11
01
01
01
00
01
11
10
00
11
10
01
01
11
11
10
10
00
00
11
00
11
10
00
10
11
00
10
11
00
01
11
00
11
10
10
01
00
11
00
00
10
00
10
11
10
10
10
00
00
10
00
10
10
01
01
11
01
10
11
01
10
01
00
00
10
00
11
10
11
00
00
00
10
11
11
01
01
01
10
01
01
01
00
11
10
00
10
11
00
01
10
10
00
11
10
00
00
10
10
01
11
00
11
00
11
11
01
00
01
00
10
00
00
10
00
00
11
10
10
00
11
00
10
10
01
01
10
10
10
10
00
01
11
00
10
00
10
00
01
01
10
10
00
11
11
00
00
00
11
11
00
00
10
10
00
00
10
01
11
00
10
10
00
00
11
11
00
00
10
01
00
00
00
00
01
10
10
11
11
00
00
01
10
00
01
10
01
00
10
10
10
00
10
10
00
10
00
00
10
10
10
11
00
10
00
00
00
10
01
11
10
10
10
10
10
10
11
00
00
10
01
00
01
10
11
00
10
00
01
11
10
00
00
10
00
01
11
10
00
10
10
00
11
00
01
10
11
00
10
01
01
11
11
01
01
00
10
10
11
01
01
00
10
00
00
11
10
10
00
10
00
10
01
01
00
10
01
11
10
00
11
00
11
00
00
10
01
00
10
10
10
10
11
00
01
01
01
01
11
10
00
01
00
01
10
10
00
00
10
10
11
01
10
00
00
11
01
00
00
11
10
01
11
10
00
00
10
00
10
11
00
00
00
01
11
10
00
00
01
10
01
10
00
10
00
10
11
01
01
11
11
00
10
00
01
10
11
00
00
10
00
10
10
10
10
00
01
10
00
00
11
10
10
10
01
00
00
10
00
10
10
01
00
10
11
00
00
10
11
10
11
10
00
00
10
10
10
10
00
00
01
00
10
11
10
10
11
01
10
10
00
01
00
11
10
00
01
01
11
10
00
11
10
10
10
00
01
01
01
10
11
10
00
11
11
00
00
10
01
00
00
10
10
00
00
00
00
10
01
10
00
00
10
00
11
10
10
10
00
00
11
10
10
01
01
00
01
11
10
00
00
10
10
01
00
01
10
10
00
10
10
10
10
00
10
01
01
00
01
01
00
10
01
00
10
01
00
10
11
00
10
00
00
10
10
00
10
10
00
10
11
10
11
10
10
00
00
00
10
01
00
00
00
11
10
11
01
11
10
11
00
01
00
00
00
00
11
11
11
00
00
11
10
10
00
01
10
10
00
11
00
01
11
00
00
10
10
00
10
10
10
10
01
10
10
00
10
01
10
10
00
00
10
01
10
10
10
01
01
00
11
10
00
10
01
00
10
10
01
00
10
00
00
01
11
11
10
00
00
00
11
10
11
00
00
10
10
10
10
01
01
00
00
01
00
10
00
00
10
10
11
00
11
10
11
10
11
00
01
00
10
01
00
11
00
11
01
00
10
10
00
00
10
10
11
10
01
10
00
10
01
01
01
01
10
00
10
10
11
10
00
00
00
01
10
11
01
00
01
11
10
00
00
00
10
11
00
00
10
10
01
10
00
00
11
10
00
10
00
01
10
10
11
10
00
10
10
10
00
10
10
10
00
01
10
11
00
11
10
00
10
01
01
11
10
00
10
00
00
00
00
10
10
10
00
00
01
10
11
10
00
00
11
10
11
01
01
00
11
10
10
10
00
00
10
10
11
10
11
00
01
00
10
00
10
10
00
00
11
11
00
11
10
10
11
00
00
11
00
01
10
01
01
10
10
11
00
00
10
10
11
10
00
10
10
01
10
10
01
00
01
00
11
10
10
00
10
00
00
10
01
10
10
00
11
00
00
11
10
10
10
00
00
11
10
01
10
01
10
00
10
01
10
11
00
11
11
11
00
00
10
10
01
00
10
00
11
10
00
10
11
10
00
10
01
00
10
00
00
10
00
00
10
11
00
01
00
01
11
10
00
10
00
00
10
00
01
10
11
00
00
01
00
10
10
10
01
00
10
10
10
01
10
01
11
11
10
10
01
10
11
00
10
00
01
00
10
01
00
01
10
10
01
10
10
10
01
00
10
01
10
10
00
10
00
11
10
10
10
00
00
11
00
10
10
10
10
01
00
00
10
01
10
01
00
10
11
00
00
01
01
00
10
01
11
01
10
10
10
11
11
00
00
11
11
10
10
00
11
01
11
00
00
11
10
10
10
11
00
10
10
01
10
10
00
01
11
01
00
01
10
11
10
10
00
00
10
10
00
00
10
10
10
00
01
00
00
00
11
10
11
10
00
01
10
01
01
11
11
01
10
00
01
10
10
01
11
11
00
11
10
11
01
01
10
10
10
00
11
11
11
10
00
01
00
01
00
00
11
00
11
01
00
11
00
00
00
10
10
00
00
11
10
11
00
00
01
10
10
10
00
00
11
00
01
10
10
10
10
10
10
10
11
10
11
10
10
10
00
10
11
01
00
10
10
11
11
00
00
01
01
00
11
10
10
00
00
10
10
10
00
00
11
11
11
10
00
11
01
10
10
00
00
11
00
00
01
11
00
00
00
10
00
10
10
00
01
00
10
10
00
00
10
10
01
01
01
10
10
10
01
11
00
00
11
00
10
10
00
00
10
00
11
10
01
10
11
11
11
00
00
00
11
00
01
11
01
10
10
10
11
10
01
00
11
01
00
00
00
11
10
11
11
00
00
10
10
00
10
10
00
10
10
10
01
01
00
01
00
11
10
01
10
10
00
01
01
11
00
01
10
11
00
00
10
10
10
11
01
01
10
10
00
00
00
01
01
10
10
10
00
00
10
00
10
10
10
01
00
00
00
10
00
10
10
01
00
00
11
10
10
11
10
10
10
00
00
00
01
01
01
10
00
00
10
11
01
01
10
01
00
10
00
10
10
01
11
11
00
00
10
00
01
00
10
11
00
01
00
00
10
00
00
00
01
10
11
10
00
00
00
00
01
10
10
00
01
10
01
01
00
10
10
11
00
11
10
00
11
10
01
10
10
00
01
10
00
01
11
00
11
11
00
00
11
10
01
00
10
00
10
10
00
00
10
00
10
00
00
01
01
10
01
11
01
10
10
01
00
01
00
10
10
01
00
10
01
10
10
00
00
11
01
10
01
00
11
10
11
00
00
00
10
01
11
00
00
00
00
10
00
00
01
01
01
00
01
10
00
00
01
00
11
00
01
01
11
10
00
11
11
10
01
01
11
11
01
00
10
10
01
11
00
00
10
10
00
00
00
11
00
00
10
11
10
00
01
11
01
10
00
10
00
00
10
00
01
10
10
00
00
01
11
10
00
00
11
00
10
10
00
11
11
00
00
01
10
01
11
10
00
00
01
10
10
00
01
10
11
10
10
10
00
00
00
10
11
10
11
10
00
01
00
11
00
00
00
01
11
10
10
00
10
00
11
10
11
10
01
00
10
11
00
00
11
10
01
10
10
00
11
00
10
00
00
01
00
00
10
10
10
11
01
01
11
10
10
11
10
10
01
00
00
11
10
00
11
01
00
10
11
00
01
10
00
11
00
01
10
10
01
10
10
00
10
11
00
00
11
00
11
10
11
00
10
10
00
00
10
00
00
10
00
10
11
11
00
01
00
00
10
10
00
00
01
10
10
11
10
00
10
11
00
00
11
10
10
11
11
00
10
00
00
00
00
10
01
10
10
00
10
11
10
10
10
01
00
01
00
10
00
10
11
01
00
10
10
00
10
10
01
00
11
10
11
10
10
10
00
00
10
11
10
10
01
00
11
01
10
10
00
00
00
00
11
00
01
11
10
00
00
00
10
00
10
10
01
00
00
01
10
00
01
10
11
10
10
00
01
11
01
10
10
10
10
11
00
00
10
10
00
11
11
10
10
01
01
00
10
10
00
10
01
10
10
10
10
10
10
01
00
00
00
00
11
00
00
00
00
00
00
00
11
01
00
01
01
10
00
10
11
11
10
01
00
00
00
00
10
00
10
10
00
00
00
10
00
00
01
00
00
00
01
11
00
10
01
01
01
11
10
00
00
01
01
10
11
11
00
00
10
10
00
00
11
01
10
10
01
01
10
11
10
00
01
00
00
10
01
00
10
11
11
11
00
11
10
00
00
11
10
01
10
10
00
01
10
00
01
11
01
01
10
00
10
00
00
10
10
00
01
00
00
01
10
10
00
10
00
00
00
10
01
10
10
01
00
11
00
11
01
01
11
00
01
10
10
00
00
00
10
00
10
10
01
11
10
11
01
00
10
00
10
10
10
00
00
10
11
00
00
00
11
00
01
00
00
11
11
10
00
00
10
00
00
10
11
00
01
00
10
11
00
10
01
10
10
10
10
00
10
01
10
11
00
01
00
01
10
10
00
10
10
00
10
10
11
00
01
10
10
10
10
10
11
10
00
11
11
01
11
10
00
00
10
11
11
01
00
10
00
00
11
00
10
11
11
10
11
10
01
10
11
10
00
00
11
01
01
01
10
10
00
00
11
00
00
10
10
01
01
00
00
11
00
00
01
00
10
10
01
00
10
11
00
01
00
00
10
00
00
10
00
11
11
00
11
01
10
10
10
00
10
00
01
00
01
11
01
00
00
10
01
01
10
11
01
00
10
00
00
10
10
01
00
00
00
00
10
00
00
10
10
10
10
00
01
10
11
00
10
01
10
10
00
00
00
00
00
01
00
00
10
11
10
01
10
11
11
01
01
11
00
01
10
10
00
11
10
00
00
10
10
00
00
01
10
00
10
10
10
01
10
00
11
10
00
10
00
00
10
00
11
10
10
11
10
00
00
00
00
01
00
01
01
11
11
10
00
00
10
11
00
00
01
00
11
00
10
10
00
10
11
11
00
11
10
10
00
00
10
00
10
00
10
00
01
01
10
01
00
10
11
01
00
01
00
11
10
01
10
11
00
00
00
11
10
00
01
00
01
00
10
11
10
00
01
10
01
10
00
11
00
01
11
10
00
10
01
01
10
01
01
11
10
11
10
01
10
10
00
01
11
10
00
10
10
10
10
10
11
00
01
10
00
11
00
01
11
00
01
10
00
10
00
01
01
10
10
01
10
00
00
01
00
00
10
11
10
00
10
10
10
01
10
00
01
00
01
10
01
00
00
01
11
01
00
10
10
10
00
01
01
10
10
01
01
00
00
10
10
00
00
11
10
10
00
01
11
00
10
00
00
00
10
10
00
01
10
10
11
00
00
01
01
00
11
10
10
00
00
11
10
00
00
10
11
10
00
10
10
01
11
01
01
01
10
01
00
10
10
10
00
01
10
10
00
10
10
10
11
00
10
00
10
10
10
11
00
11
01
00
00
11
10
01
00
11
11
00
00
01
10
00
10
11
01
00
10
10
00
00
10
10
01
10
10
10
01
11
00
10
11
01
10
01
00
11
00
11
10
00
01
10
01
11
10
00
01
00
10
01
00
00
10
00
00
10
00
00
00
01
00
00
01
10
10
00
10
11
11
01
01
00
10
11
10
10
10
01
00
00
10
10
01
01
11
10
01
10
11
00
00
00
00
10
10
11
10
10
10
01
10
00
00
11
10
00
10
00
00
10
01
00
11
00
00
10
01
00
10
00
00
00
10
10
00
10
10
10
11
00
00
10
00
00
10
10
01
00
00
00
11
11
10
10
10
01
10
11
00
10
00
00
00
00
00
10
11
11
10
11
00
00
00
10
10
01
00
10
11
11
10
00
00
10
11
10
10
00
00
10
11
00
01
11
10
10
01
00
10
10
00
10
10
11
00
11
01
10
00
11
10
10
10
00
10
01
10
10
01
00
01
10
00
00
10
11
10
00
00
11
10
10
00
00
00
11
00
00
01
10
11
00
01
00
10
10
01
00
00
11
10
10
00
00
11
11
00
00
11
10
11
11
10
01
11
10
00
10
01
01
00
10
00
00
11
11
01
00
11
00
00
00
10
10
00
11
10
11
01
01
01
10
00
10
00
00
10
11
11
10
10
11
10
11
10
00
00
01
11
00
01
10
01
01
00
00
01
10
10
00
00
10
10
01
10
00
01
10
00
10
00
00
11
00
10
00
01
10
11
10
01
11
00
00
10
00
00
00
11
10
00
10
00
00
00
00
10
10
10
00
00
00
10
00
10
01
00
10
10
00
00
10
00
01
00
11
10
01
00
10
00
10
00
00
11
11
01
10
11
01
00
00
00
00
10
11
10
01
00
11
00
00
10
01
11
10
10
01
11
01
10
00
11
01
00
01
00
10
10
00
11
01
01
01
10
01
00
11
11
00
00
00
00
11
10
01
10
11
01
10
10
01
01
00
01
11
11
01
00
00
00
11
10
01
10
10
00
10
10
10
01
00
11
00
10
11
00
00
10
10
00
00
01
11
01
10
11
00
00
00
00
00
10
10
10
00
00
00
10
10
10
10
10
11
00
01
10
11
00
11
11
10
10
00
00
10
00
00
11
10
10
01
01
11
11
01
11
10
10
10
00
00
10
10
01
01
10
11
00
10
01
11
01
11
00
00
01
10
01
01
10
10
00
10
10
10
01
00
01
00
01
10
11
10
00
10
11
11
11
00
11
11
10
00
00
00
10
00
01
01
10
11
11
01
10
10
01
10
11
00
01
11
11
10
00
11
10
00
00
00
10
10
10
10
01
11
00
10
00
11
01
01
11
00
01
00
01
11
11
00
01
10
00
10
10
00
01
01
10
10
00
00
10
00
11
10
00
10
00
00
00
00
11
10
00
00
10
11
11
10
00
00
10
11
10
10
01
00
00
10
10
10
01
01
01
00
10
10
10
00
00
10
01
01
10
11
10
00
10
01
00
00
10
10
10
00
10
11
10
01
10
01
10
10
11
11
00
10
00
01
01
00
10
10
00
00
01
00
01
11
01
10
01
00
10
00
10
11
01
00
10
00
00
11
10
01
00
00
11
01
00
10
10
00
10
10
00
10
11
00
11
11
01
10
01
00
11
10
00
10
11
01
00
01
00
01
00
10
00
00
10
10
01
01
10
10
11
00
01
01
00
00
00
11
10
10
01
00
00
11
10
00
11
10
10
11
11
11
00
01
11
01
10
10
10
11
01
01
10
00
01
10
11
01
10
10
10
10
00
01
01
10
01
00
11
10
10
01
00
10
10
10
10
10
00
10
01
00
11
00
10
10
10
11
10
00
10
00
00
00
00
11
10
10
00
10
00
10
10
00
01
10
11
00
00
10
01
10
11
00
10
11
01
11
01
01
10
00
10
11
10
11
00
01
00
10
10
01
01
00
01
10
01
10
00
10
00
00
01
00
10
00
00
10
10
01
01
01
10
10
00
01
00
01
10
10
10
10
10
11
00
01
10
11
00
11
01
00
10
11
00
00
00
10
10
11
01
00
00
10
01
11
00
10
11
00
00
00
10
00
10
11
01
11
00
10
10
10
00
00
00
11
10
01
11
00
01
10
10
01
00
10
10
10
00
11
10
00
11
10
10
10
10
01
01
10
00
10
11
00
10
10
00
00
10
00
00
01
10
10
10
10
10
11
10
10
10
01
00
01
00
10
01
00
10
00
10
11
01
10
00
11
10
11
00
01
00
00
10
00
00
10
10
00
01
01
01
11
10
00
10
10
10
10
00
00
11
01
00
01
00
10
10
10
01
11
10
01
00
10
11
01
00
00
01
00
10
10
10
11
10
10
00
00
01
00
10
10
01
10
01
10
11
00
00
11
00
10
10
11
01
10
01
00
00
10
00
00
00
00
10
10
10
00
10
00
01
00
00
01
10
01
10
10
00
10
11
00
11
11
00
11
10
11
10
00
00
01
10
00
10
11
01
01
11
11
01
11
11
01
00
10
10
10
01
00
00
00
01
01
01
10
10
00
00
11
11
00
01
01
01
11
00
11
00
01
10
10
00
01
10
10
10
00
00
10
11
10
11
10
00
10
11
01
01
00
10
01
00
10
10
00
10
00
00
00
01
00
10
10
10
01
00
00
10
00
00
01
10
11
10
00
10
11
01
11
11
00
00
10
00
00
00
11
11
10
01
00
10
01
10
00
00
10
11
11
10
10
01
00
01
00
10
00
11
00
00
00
10
10
00
00
00
00
01
10
01
01
10
01
10
10
10
10
00
00
00
10
10
10
00
10
00
01
10
10
11
01
10
00
00
11
00
01
00
01
11
11
11
10
00
01
11
10
01
00
10
00
00
10
10
00
10
01
01
00
11
10
10
11
01
00
11
11
11
00
10
11
00
11
10
01
00
10
00
11
10
00
10
00
10
11
01
00
10
11
10
10
01
01
01
11
10
11
00
00
11
00
01
10
10
11
01
00
10
00
00
00
10
11
00
10
11
01
00
11
10
00
00
00
10
10
00
00
00
11
01
00
00
10
00
01
01
11
10
01
00
00
10
10
01
00
10
10
11
00
11
10
00
10
00
00
00
11
10
01
00
11
11
11
11
00
00
10
00
00
10
11
01
01
11
00
00
10
00
00
10
10
10
00
00
11
11
00
01
10
01
10
10
11
00
01
10
00
00
11
11
00
10
00
11
10
01
10
00
01
10
10
00
00
11
10
10
00
00
10
10
10
00
00
10
01
00
01
01
01
00
10
01
01
01
10
11
01
01
10
00
01
10
11
00
00
00
01
00
10
10
01
11
01
01
10
10
11
00
11
00
01
00
10
10
10
11
00
01
10
10
10
10
10
10
10
00
10
00
01
00
00
00
10
10
01
11
11
10
00
10
00
10
00
01
11
00
10
01
00
10
10
00
00
00
10
11
00
00
11
10
11
01
00
00
10
00
01
10
10
10
10
00
11
10
01
00
10
00
00
11
10
11
10
01
11
00
00
00
00
11
00
10
10
00
00
10
10
00
00
10
11
00
11
10
10
01
01
11
00
10
00
00
10
00
11
01
11
01
10
10
00
11
01
10
01
01
10
10
00
10
11
10
00
01
10
10
00
10
10
10
00
10
10
00
00
01
11
10
00
01
10
00
10
00
11
00
00
10
01
01
10
11
00
00
11
10
10
10
10
00
00
10
00
01
10
10
11
11
00
11
10
00
10
01
00
00
10
10
00
00
10
01
00
11
10
01
10
00
01
11
10
10
11
00
10
00
00
10
01
01
10
11
10
01
00
11
11
01
10
11
10
00
01
11
00
11
10
01
01
10
00
10
10
00
11
10
01
00
01
10
00
00
11
01
00
01
10
01
00
10
10
10
01
00
00
10
00
00
11
01
01
00
00
00
10
00
00
10
00
00
11
01
10
11
10
10
00
00
10
00
10
10
00
00
11
00
10
10
00
11
00
00
11
01
10
10
11
00
01
11
10
10
01
01
10
00
10
10
00
01
11
00
00
00
00
00
11
11
01
00
00
00
00
00
11
10
00
01
10
11
01
00
10
10
00
00
00
10
10
10
11
01
00
00
10
00
00
10
10
00
00
10
10
00
10
01
01
00
11
10
11
00
10
10
01
01
10
00
00
10
10
00
11
10
10
01
11
10
00
00
00
10
10
01
00
10
10
10
01
00
01
00
00
01
10
01
00
10
10
00
01
11
11
00
01
10
10
00
01
00
11
00
00
00
10
01
00
00
11
01
00
10
11
00
01
00
10
11
10
10
00
00
11
11
00
01
11
10
10
01
01
11
00
00
10
10
00
00
10
00
10
10
00
01
11
11
00
10
11
10
01
10
00
00
10
01
10
01
00
10
10
00
00
00
11
00
00
11
00
10
10
01
00
00
00
10
10
11
11
10
10
11
01
01
10
00
00
11
01
01
11
10
00
00
10
10
00
01
10
01
00
11
01
00
10
10
11
01
00
11
00
00
01
10
10
00
00
10
00
10
11
11
11
11
10
00
00
00
10
11
00
00
11
00
01
00
00
10
00
00
10
10
01
00
10
00
00
10
00
00
10
00
01
11
10
00
10
10
00
01
10
01
00
01
01
10
10
11
00
01
10
00
10
01
01
10
10
01
01
00
10
00
00
10
01
11
00
00
10
10
00
00
01
10
10
01
00
01
10
10
10
11
00
11
00
01
10
10
01
00
01
01
11
11
11
00
10
00
01
00
10
11
10
00
00
00
01
10
00
00
00
10
00
10
00
00
10
00
00
10
10
00
10
10
01
10
00
00
10
01
01
00
10
10
10
11
00
00
11
11
00
01
00
10
00
00
01
10
10
01
00
00
11
00
10
10
10
01
10
10
00
10
10
01
00
11
10
11
00
11
01
01
10
10
00
00
10
10
11
00
11
00
00
11
11
00
00
11
10
10
00
01
00
00
10
00
01
10
11
11
00
11
10
11
01
10
00
01
11
10
00
10
11
00
10
00
01
01
11
10
01
10
00
00
00
11
10
10
10
11
01
01
10
10
00
11
10
01
10
10
10
10
00
01
10
11
00
00
11
00
11
10
00
00
10
10
11
00
00
11
00
10
10
01
00
10
10
00
10
11
10
00
00
10
10
11
10
00
00
10
00
10
10
11
00
11
00
10
00
01
00
01
10
00
00
11
00
10
10
00
01
01
10
01
01
01
11
11
11
10
11
10
00
00
00
00
10
00
01
01
10
11
00
00
10
00
10
00
01
10
00
11
10
00
10
00
10
00
11
00
00
11
10
11
00
00
10
10
00
10
10
00
10
10
11
00
00
11
10
00
00
10
10
11
00
10
11
10
01
10
10
10
11
10
01
10
00
01
01
11
11
11
01
11
00
00
00
10
10
00
01
10
10
10
10
10
10
00
10
11
11
01
00
10
01
11
10
10
00
00
11
00
00
00
01
11
00
10
10
11
10
10
00
10
00
10
00
01
10
11
10
10
10
10
00
00
00
00
11
00
00
10
01
01
10
01
11
00
11
10
10
00
10
10
01
01
11
11
00
00
11
10
01
00
01
11
00
01
11
00
11
11
00
11
10
01
01
01
00
10
00
00
10
00
10
10
01
10
00
01
11
11
00
00
10
00
00
11
11
01
10
11
00
00
00
10
00
01
01
11
11
00
00
10
00
10
10
00
01
00
10
00
10
00
00
11
11
01
00
00
10
10
01
10
00
10
10
10
10
10
00
10
10
00
00
11
01
01
00
01
01
00
01
11
11
01
11
00
10
10
00
11
01
01
10
10
10
10
10
00
11
10
00
00
00
10
10
10
11
11
10
01
00
10
11
11
10
11
00
00
10
01
11
10
10
00
01
10
00
01
00
10
00
10
10
11
00
00
00
00
10
01
10
11
00
00
11
10
01
00
11
10
10
01
00
10
11
01
01
10
00
00
00
01
01
01
10
10
01
01
00
10
11
01
01
01
11
11
01
00
01
11
01
01
01
10
10
10
00
00
10
10
01
00
00
10
00
00
01
00
11
01
00
10
10
10
00
10
10
01
00
01
10
10
10
10
00
10
00
00
00
10
01
00
00
10
00
01
10
10
01
00
11
00
01
10
11
10
00
10
10
11
01
11
10
01
00
00
00
10
10
00
10
10
01
00
11
11
00
10
11
00
10
10
10
01
00
00
10
00
10
00
10
10
00
00
10
00
11
11
10
01
00
01
00
10
10
01
01
11
00
01
11
00
10
11
10
11
10
00
01
00
00
01
00
10
11
01
00
00
11
10
01
11
00
10
11
01
10
11
00
11
10
01
00
11
00
00
00
10
11
10
10
00
01
01
00
00
10
10
01
00
10
11
00
10
10
00
11
10
10
10
10
01
10
10
00
10
10
11
10
00
10
10
10
00
10
10
00
00
10
01
10
11
01
11
10
10
10
00
11
00
00
10
01
10
11
11
01
11
01
10
00
01
00
01
10
10
00
00
11
00
10
10
11
00
10
01
00
10
10
10
10
10
01
11
10
00
10
11
01
10
10
10
01
00
10
00
00
00
11
00
01
00
10
10
10
10
00
11
11
00
00
10
10
00
10
10
00
01
11
01
00
10
11
10
10
00
01
10
01
01
10
01
10
00
10
10
00
10
00
01
01
00
11
10
01
10
11
00
10
11
10
00
01
10
10
11
00
11
10
01
10
11
10
00
10
10
00
00
01
10
11
00
00
00
10
10
01
11
10
01
00
00
10
10
00
10
00
01
00
10
01
10
11
10
00
10
01
11
10
10
01
00
10
10
00
00
01
10
11
11
11
10
11
11
00
10
00
01
10
10
00
00
11
01
00
11
10
10
11
10
11
00
11
11
11
10
00
00
11
11
00
00
10
10
01
10
10
11
00
00
00
00
10
00
00
10
10
10
01
00
00
00
10
11
10
00
00
00
00
00
01
11
10
10
00
01
10
10
10
00
01
10
10
11
10
11
10
01
01
00
11
10
10
00
11
10
01
01
10
10
11
11
00
00
10
10
10
01
00
00
00
00
00
01
11
10
00
00
11
10
00
01
11
11
00
00
11
10
01
00
01
10
10
01
10
11
00
10
10
10
01
10
00
10
01
00
10
10
00
00
10
00
10
11
00
10
11
11
10
00
01
00
01
10
11
00
01
00
10
10
00
11
10
10
01
10
01
00
00
10
00
01
00
10
10
01
01
01
11
11
11
10
01
00
10
11
00
10
00
10
10
10
11
00
10
10
01
11
10
11
00
10
10
01
10
01
11
00
11
00
11
11
10
00
00
10
10
01
10
11
00
01
10
10
00
10
00
01
11
10
11
10
00
10
10
00
10
00
01
10
01
01
00
00
10
11
11
00
00
00
11
00
00
10
00
01
10
01
11
10
01
00
11
10
10
01
10
10
01
00
10
00
01
10
00
00
01
11
11
00
00
00
10
00
00
10
10
10
00
00
10
00
00
10
10
00
00
00
10
01
10
01
01
00
10
01
10
10
00
00
00
00
01
00
10
01
00
11
10
00
11
11
00
01
11
11
00
10
01
00
10
11
10
10
00
00
01
10
10
00
10
10
10
01
00
10
00
10
11
11
10
00
10
01
11
00
10
10
10
00
01
00
10
11
00
10
00
11
10
10
10
11
10
10
00
00
10
01
00
01
11
11
00
11
10
01
00
10
10
01
00
10
11
00
00
10
10
11
10
10
10
11
00
00
11
10
10
00
10
10
11
10
01
00
10
11
00
00
10
01
00
11
11
10
11
00
01
11
01
00
00
00
10
11
10
10
00
01
10
00
10
11
10
01
10
10
00
00
00
10
01
01
00
00
11
00
11
01
10
00
10
00
00
11
10
11
00
00
01
10
01
01
10
11
00
01
00
00
10
10
10
00
00
00
00
11
00
00
01
00
00
10
00
11
11
01
00
00
01
10
11
00
00
11
10
00
11
00
01
01
10
10
10
10
11
11
00
00
11
00
00
11
10
10
00
00
00
11
10
01
01
10
01
10
10
00
00
11
10
10
10
00
01
10
00
11
10
11
01
01
10
01
00
01
10
10
11
10
01
00
10
11
00
10
10
00
00
00
11
10
01
00
01
10
00
10
10
10
11
10
00
00
00
10
00
10
00
10
10
11
01
11
10
00
00
10
10
10
01
00
01
10
01
00
10
10
00
01
11
01
00
11
10
10
10
01
01
10
11
10
10
00
00
00
10
11
00
00
10
10
10
00
00
10
10
00
00
10
11
10
10
01
01
10
00
00
00
00
10
10
10
00
01
11
01
00
11
00
00
00
11
00
01
10
10
00
01
11
01
00
01
01
00
11
10
00
10
10
00
00
10
11
01
11
01
00
10
11
01
10
00
01
00
01
11
00
11
00
10
00
00
10
01
01
00
00
11
11
00
00
10
10
01
10
10
00
10
00
11
00
00
10
00
11
00
00
10
10
10
10
11
01
11
10
01
01
01
10
10
00
00
00
10
10
11
00
00
10
00
10
10
11
00
10
00
11
00
01
10
10
00
00
10
00
01
11
10
00
10
10
10
10
00
10
11
00
10
00
10
11
00
00
10
00
10
00
11
00
01
11
00
00
10
01
00
00
10
10
00
10
10
01
10
00
10
00
00
11
01
00
00
11
00
10
00
00
10
10
11
01
01
00
10
00
01
01
10
01
00
00
11
01
10
10
10
00
10
10
01
00
11
10
00
11
11
01
00
00
10
11
10
00
00
11
01
00
00
00
10
00
10
10
10
00
10
00
10
10
00
01
11
01
01
01
01
01
10
01
00
10
10
10
00
00
11
00
10
11
00
11
00
10
01
10
10
01
01
10
10
10
00
00
10
10
10
01
01
11
01
00
10
10
10
10
00
00
11
00
00
00
01
00
10
11
00
00
10
00
10
10
10
11
10
10
10
10
10
11
10
01
10
10
01
00
00
10
10
00
01
01
00
10
00
01
01
11
10
01
01
10
01
00
10
11
01
00
00
10
11
10
00
10
00
10
10
01
10
01
00
01
00
11
00
01
10
10
10
00
00
11
10
01
11
11
10
11
00
01
10
10
01
10
11
00
11
10
11
00
10
10
01
10
01
10
11
10
00
00
10
10
00
10
10
10
01
00
10
01
00
10
00
00
10
01
10
11
11
00
01
00
01
10
01
00
10
10
00
00
10
10
01
00
10
10
01
11
11
10
00
00
00
00
11
00
01
10
10
10
01
10
10
10
00
00
10
11
11
01
10
10
00
10
10
00
01
11
11
10
00
10
11
00
00
00
11
01
11
10
01
10
00
10
10
11
00
11
10
11
10
11
11
10
01
01
10
10
11
10
00
00
00
11
10
00
10
10
10
00
00
10
00
01
01
10
01
00
00
01
00
11
00
11
10
00
01
00
00
10
10
10
11
00
00
11
11
10
00
11
10
00
11
00
11
10
10
10
00
01
01
00
11
10
00
00
00
01
10
11
00
00
00
00
10
10
10
00
10
11
00
11
10
11
00
00
00
01
00
10
01
10
00
10
11
00
10
10
11
10
00
11
00
00
01
00
10
10
10
10
00
00
10
10
00
01
10
10
10
11
00
11
11
10
00
01
00
10
11
01
00
10
10
10
11
01
00
00
10
00
11
11
01
00
10
10
00
01
10
01
10
10
10
10
01
10
11
00
00
10
11
00
00
10
00
10
01
00
11
01
01
11
11
10
00
01
10
10
10
00
00
01
00
11
00
00
00
00
00
00
10
10
00
01
10
00
01
00
01
00
01
10
00
10
10
10
00
10
10
01
00
01
11
00
10
10
00
01
00
10
00
00
10
10
10
10
00
10
10
10
01
10
01
00
10
00
00
11
11
11
00
11
10
00
00
01
01
00
11
11
10
11
10
01
00
00
10
00
00
11
10
01
11
11
00
10
11
10
11
01
00
10
00
11
00
00
10
00
10
10
10
00
11
10
10
11
00
00
11
00
11
01
10
00
11
10
01
10
11
00
11
10
00
10
10
10
11
00
01
11
10
10
11
00
11
01
10
10
10
10
10
10
01
01
10
00
00
10
10
01
01
00
00
10
00
11
00
10
11
11
00
11
10
01
00
10
11
00
00
11
00
01
11
00
00
10
10
01
10
10
00
10
10
01
00
10
01
11
10
01
00
11
00
10
11
11
00
01
01
00
10
11
10
10
10
00
01
10
01
10
10
00
10
11
00
10
10
00
00
11
10
00
00
00
00
11
01
11
01
10
00
11
01
11
00
00
11
10
00
10
11
01
10
10
00
11
00
01
10
01
00
10
01
00
00
10
00
00
10
00
10
00
00
01
10
01
01
10
00
10
00
10
00
00
10
10
10
11
11
01
00
10
11
00
01
11
00
00
00
11
10
10
00
00
10
10
00
00
01
10
00
11
00
10
00
00
10
10
00
10
01
00
10
10
10
00
00
00
00
00
01
10
10
11
10
00
10
10
00
01
10
01
10
10
00
10
00
00
00
11
01
01
00
10
00
01
00
11
11
00
10
11
10
01
00
11
11
10
01
00
00
00
01
11
00
01
01
10
00
00
11
01
10
10
11
00
00
10
10
00
01
11
00
00
11
10
00
10
11
00
11
10
00
00
10
11
11
10
01
00
00
00
01
11
00
11
10
00
10
11
00
00
01
10
01
00
10
00
01
11
10
11
00
11
10
11
00
00
00
01
11
10
00
00
11
10
10
11
01
01
01
01
01
10
10
10
11
00
00
01
10
11
01
00
11
00
00
00
11
11
11
10
00
00
11
11
00
11
11
00
10
10
10
01
00
00
00
00
00
11
10
10
01
00
11
00
00
01
00
10
10
00
01
10
00
00
11
10
00
11
10
11
00
01
10
10
01
10
00
10
10
01
00
00
10
00
00
10
00
10
11
11
01
11
00
00
00
00
00
10
11
00
10
10
00
10
11
00
00
01
10
11
10
10
00
10
00
01
01
11
00
10
00
00
00
10
10
10
00
00
00
00
10
01
00
01
10
01
00
10
00
11
01
00
11
11
11
00
00
11
11
10
00
00
10
01
11
11
01
10
00
00
10
01
00
00
11
10
11
10
00
00
00
10
00
10
01
10
10
10
00
00
11
10
00
00
11
00
00
01
10
11
10
10
00
11
01
11
11
00
00
00
10
00
00
10
11
10
11
10
00
00
00
11
10
00
00
10
11
01
00
10
11
00
00
10
10
11
00
01
00
00
01
00
11
10
11
01
01
10
10
10
01
01
00
10
10
00
11
00
00
10
00
10
00
11
00
01
11
00
01
10
00
11
10
01
10
11
00
11
00
00
00
11
00
10
11
00
00
11
10
10
11
01
00
00
01
10
10
00
00
10
00
01
10
01
00
10
11
11
10
00
11
10
01
11
00
00
11
10
10
10
01
01
10
00
11
10
01
10
10
10
11
01
00
11
00
11
11
00
10
00
01
10
10
00
01
10
10
11
00
10
11
00
01
01
00
11
01
10
10
01
00
00
00
10
00
10
11
11
00
00
10
00
01
11
10
00
10
00
01
10
10
01
00
11
10
01
00
11
11
00
00
10
11
00
10
10
00
01
00
00
10
11
01
01
10
10
00
01
10
01
00
00
10
11
10
10
00
00
10
10
10
00
01
11
10
10
01
01
01
11
10
10
10
10
00
00
10
10
00
10
10
11
01
00
10
10
01
10
00
00
10
01
10
00
01
10
01
00
00
10
01
01
11
00
10
01
11
01
00
10
10
00
10
00
01
10
10
10
10
00
00
00
11
00
01
01
00
00
10
00
00
10
10
00
10
11
10
10
10
10
01
10
00
00
10
11
00
10
10
10
00
01
01
00
00
10
11
10
00
11
00
01
01
00
00
10
11
11
00
00
01
00
11
00
00
10
10
10
01
00
10
00
00
10
11
00
10
01
11
00
10
01
00
11
11
00
00
11
00
11
11
11
11
01
00
01
10
10
10
00
01
11
00
10
10
11
11
10
01
01
11
01
00
00
00
10
10
00
00
10
10
10
10
00
00
00
00
10
00
11
01
11
01
11
00
11
10
00
11
00
00
10
00
01
10
10
01
01
00
00
01
10
00
01
10
00
10
10
01
01
10
10
00
10
10
01
01
11
01
10
10
11
01
01
11
00
01
11
10
00
11
10
01
00
01
00
10
00
10
10
01
00
10
11
00
01
10
01
10
00
01
11
00
00
00
11
11
10
00
00
01
10
10
01
00
10
10
00
00
00
10
11
10
00
10
01
01
01
10
10
00
11
10
10
10
00
01
00
01
10
00
01
00
10
11
00
00
00
01
01
00
00
01
10
00
00
10
00
00
10
10
00
11
10
10
01
01
10
00
01
11
00
11
10
00
00
00
01
11
10
10
00
00
11
10
10
00
10
00
10
11
00
10
10
11
11
00
11
11
00
10
00
00
00
10
00
11
11
00
10
10
10
10
00
10
10
00
00
10
10
10
00
00
01
11
01
01
01
00
01
01
10
00
00
11
11
00
00
01
00
11
00
11
10
10
10
00
00
10
00
00
00
00
01
10
10
00
10
10
10
10
00
10
10
00
00
10
00
11
11
10
10
00
00
00
11
10
00
10
10
11
00
10
01
00
10
10
10
10
10
01
00
00
10
00
11
10
00
00
10
10
00
11
10
10
11
10
10
00
11
00
11
10
10
10
01
10
10
11
00
00
10
00
10
00
00
10
10
00
10
00
00
00
11
10
10
01
10
10
01
11
11
11
01
10
01
00
11
00
01
10
10
00
01
10
10
00
10
10
00
10
00
00
10
01
00
00
10
10
10
00
10
00
00
01
00
00
01
01
10
00
01
10
10
10
10
11
10
11
00
00
01
10
00
01
10
01
10
11
00
10
01
01
10
10
10
00
10
01
00
10
10
10
00
00
00
11
11
10
10
00
00
01
10
01
00
11
01
10
00
10
00
01
10
10
11
00
00
01
01
10
10
00
10
11
10
10
01
00
01
10
01
01
10
11
10
00
00
10
10
10
00
11
00
00
00
01
00
01
10
10
10
10
01
01
11
11
00
00
10
10
01
01
10
01
10
10
01
00
00
11
00
10
00
00
00
10
00
10
11
00
11
10
10
00
01
00
01
10
01
10
00
01
10
01
10
10
01
00
10
01
10
10
10
11
00
01
00
10
10
10
10
11
01
00
10
10
10
00
11
10
00
01
11
01
00
01
00
01
00
10
10
00
00
11
10
01
00
10
10
11
10
00
11
11
00
01
01
01
10
01
00
10
00
11
11
11
01
00
10
00
10
01
11
10
10
11
01
00
10
00
01
00
00
10
10
00
00
10
00
01
10
00
01
11
10
00
01
10
10
00
01
00
00
10
00
11
10
10
10
00
10
10
11
10
00
10
10
00
01
10
10
00
10
00
01
10
11
01
00
01
10
00
10
00
00
01
10
00
00
11
10
00
11
10
00
10
11
10
10
11
00
10
00
00
00
10
00
01
11
11
01
10
10
10
11
01
00
10
10
00
10
10
00
00
11
10
00
01
10
00
00
00
10
00
00
01
00
10
00
10
11
00
11
11
10
10
00
00
00
00
10
10
00
10
00
11
01
11
10
00
01
01
00
00
10
10
11
10
10
10
00
10
11
00
00
00
10
10
10
10
11
00
00
10
00
00
00
11
00
01
01
10
10
10
00
00
00
00
00
10
00
10
00
00
00
00
00
00
00
10
00
11
00
11
10
01
10
00
10
00
11
11
10
10
11
11
00
01
10
00
00
10
01
11
01
10
10
00
11
01
10
01
00
01
00
10
10
00
11
10
10
00
10
10
00
00
01
00
10
10
10
00
10
11
11
00
11
10
10
00
01
10
11
01
00
00
11
01
00
10
10
10
10
11
10
01
01
11
10
10
11
01
11
10
11
00
01
00
00
11
00
00
10
10
10
11
00
10
10
01
11
00
00
01
00
01
11
11
11
01
10
00
01
10
01
10
00
01
00
10
10
00
10
00
01
00
10
11
11
11
11
10
00
00
00
10
10
10
01
00
00
11
00
00
00
01
00
00
10
01
01
11
10
00
11
10
10
10
00
00
10
11
10
01
01
10
01
10
00
00
10
10
10
10
11
11
00
01
01
10
10
00
01
00
10
11
00
01
11
00
00
11
11
01
00
11
01
00
11
10
01
00
10
10
01
01
10
00
01
10
00
00
01
11
10
11
10
10
10
01
00
01
10
11
11
01
00
10
11
00
10
01
00
11
00
10
10
00
10
00
10
10
00
00
10
00
00
10
10
10
01
10
00
10
11
10
00
10
00
00
01
00
11
10
10
11
11
10
00
11
01
00
10
11
00
00
11
11
11
10
01
01
00
01
10
01
01
00
00
11
10
11
00
00
10
10
00
01
10
11
00
00
00
00
00
11
00
00
01
10
00
00
00
01
01
01
10
11
11
11
10
01
11
10
00
00
00
11
01
01
00
01
10
00
10
11
00
11
10
10
11
10
00
01
00
10
00
01
00
01
00
11
00
00
00
00
10
11
10
10
11
11
10
00
11
10
00
10
01
00
10
00
10
01
01
10
00
00
00
10
01
00
00
01
10
10
11
10
00
00
10
00
00
01
10
10
10
00
11
01
11
00
10
10
00
11
00
01
10
10
00
10
10
10
01
00
00
01
10
10
10
11
00
00
10
11
00
00
10
00
11
10
01
00
10
00
00
10
10
01
00
00
00
00
00
00
00
10
10
10
11
00
01
00
10
11
10
10
10
10
00
01
10
01
01
00
01
11
11
10
00
01
00
10
10
01
01
10
00
01
10
00
00
10
00
00
00
10
10
01
01
10
10
00
01
10
01
01
00
10
10
11
10
01
00
01
00
10
00
11
00
00
00
10
00
00
10
01
10
10
00
10
01
10
11
00
00
11
11
11
11
00
11
00
00
00
10
10
01
01
10
10
00
00
01
10
01
11
00
00
00
10
11
00
11
10
00
00
10
10
01
11
01
00
00
01
10
11
11
10
00
11
01
00
00
10
00
10
10
00
01
10
10
10
10
10
10
00
11
01
10
11
00
11
11
10
01
00
00
10
01
00
11
01
10
01
01
10
10
10
00
10
01
00
10
10
01
00
11
10
01
00
10
10
00
11
11
10
01
10
00
10
10
00
01
00
10
11
01
01
10
11
10
00
01
00
00
10
10
01
00
10
10
11
00
00
00
01
00
10
01
10
10
00
11
10
11
01
01
01
10
00
00
00
00
00
10
01
00
00
00
00
10
01
00
01
01
00
11
10
00
10
10
01
10
10
00
10
10
10
10
00
00
10
00
10
10
10
00
10
01
01
00
10
11
00
10
00
10
11
11
01
00
00
00
00
10
00
10
11
10
11
01
00
11
10
11
01
11
01
11
00
01
01
01
00
10
10
00
10
11
10
00
00
10
11
10
00
00
10
10
10
00
10
11
10
01
11
00
00
10
00
00
00
00
11
10
11
10
00
01
00
00
10
10
01
01
10
10
00
10
01
01
01
01
10
10
00
01
01
11
11
11
11
01
01
11
00
00
10
10
01
01
01
10
11
10
00
01
01
01
00
10
00
11
00
00
10
11
10
00
00
10
01
00
00
10
00
00
10
00
10
10
01
01
10
01
00
10
10
00
00
10
11
01
00
10
10
11
00
11
00
10
10
00
10
10
11
00
10
00
00
11
10
00
11
11
00
11
11
10
00
11
10
00
00
11
00
00
10
00
10
10
00
11
10
00
01
10
00
11
10
11
00
00
10
11
00
01
11
01
01
10
10
10
00
00
11
10
10
00
10
11
10
10
00
00
10
00
00
01
00
11
10
11
11
00
10
00
11
10
10
00
00
10
10
00
00
10
01
00
11
00
10
00
01
10
01
00
10
11
00
10
01
01
11
00
01
00
10
01
00
10
00
10
00
11
11
11
01
10
00
11
10
00
00
10
10
10
01
00
01
00
01
10
00
11
11
00
00
00
10
01
00
10
10
10
11
10
10
01
11
11
10
00
10
10
00
00
00
10
00
10
11
11
00
00
01
11
00
00
11
00
11
01
00
11
10
00
00
10
10
10
10
01
00
10
00
00
10
00
10
01
00
00
00
11
00
01
11
10
01
10
10
10
00
00
10
00
10
10
00
10
10
01
01
10
11
00
11
11
00
11
00
01
11
11
11
01
10
11
01
00
10
10
10
01
11
10
00
00
01
01
00
10
10
01
11
10
11
00
10
10
01
01
11
11
01
01
11
11
01
00
10
11
01
01
00
11
10
00
10
10
01
10
10
00
01
10
10
11
10
00
11
10
11
10
10
10
01
00
00
11
10
01
10
10
00
01
00
11
10
01
10
10
01
01
11
10
11
10
01
00
11
01
10
00
00
00
11
01
01
00
11
10
10
00
01
10
10
11
01
11
10
11
00
01
01
00
10
01
10
11
10
10
10
10
01
00
00
00
10
00
00
10
11
10
00
00
11
11
10
00
11
01
00
00
10
01
01
10
10
10
00
11
11
01
00
11
00
00
10
10
10
00
11
01
10
11
00
11
00
10
01
00
00
00
11
11
00
11
01
11
11
00
11
00
00
11
10
00
00
11
10
01
01
00
00
10
00
00
00
10
11
00
10
10
10
00
00
10
00
11
00
00
01
00
11
01
00
10
01
01
00
10
10
10
10
01
01
00
10
11
01
00
10
10
10
00
00
10
11
00
01
00
10
10
00
00
01
11
10
01
00
10
11
11
00
00
11
01
11
00
01
10
00
11
10
10
00
11
10
01
00
00
10
10
10
00
00
10
00
10
01
01
10
11
00
10
00
10
11
10
10
01
00
10
11
00
01
01
11
10
01
00
11
11
00
00
10
01
10
00
01
10
10
10
10
11
10
00
00
00
10
11
10
00
10
11
10
10
01
10
00
01
01
10
01
10
00
10
10
00
11
10
00
10
10
01
11
11
10
01
00
00
01
10
01
00
00
10
11
10
00
10
10
01
00
00
10
10
00
10
10
11
01
11
11
10
11
00
11
11
00
00
10
00
00
01
00
10
11
11
01
10
10
10
10
00
10
11
00
11
00
01
01
11
00
00
10
01
00
10
10
11
10
01
10
00
00
10
10
10
10
01
10
11
10
00
10
10
11
01
00
00
10
00
11
00
10
00
10
10
10
10
00
01
01
11
00
10
00
00
01
00
10
10
10
11
00
00
00
11
10
00
11
11
00
01
10
11
00
10
00
10
11
11
00
01
10
00
10
00
10
10
10
11
01
01
10
10
10
10
10
10
00
01
01
10
00
10
10
00
00
01
11
10
01
11
10
00
01
10
00
00
10
11
01
01
10
11
11
10
01
00
10
11
01
01
00
11
01
00
10
10
10
00
11
10
11
01
00
10
10
01
10
11
10
10
01
01
10
11
10
00
01
10
00
10
10
10
11
01
00
11
01
10
10
00
00
10
10
11
11
00
11
00
00
11
00
00
00
10
00
11
10
01
11
01
01
01
11
00
11
10
00
00
10
01
00
10
10
10
10
00
10
10
10
10
01
00
01
00
11
00
01
00
11
00
00
11
10
01
00
00
11
11
10
01
00
10
10
10
01
10
11
00
10
00
11
01
00
10
10
11
00
00
11
00
00
10
11
00
10
10
00
00
11
01
10
10
00
01
10
10
11
10
10
10
11
00
11
10
00
10
00
01
10
10
00
10
10
10
00
00
01
01
11
10
10
00
00
10
11
10
10
10
01
10
10
10
00
10
00
10
01
00
00
10
10
10
00
00
10
10
01
00
01
00
01
10
11
10
00
00
10
10
10
00
00
10
11
11
10
00
00
10
10
11
00
00
10
00
01
10
10
01
10
11
11
01
01
11
11
10
11
00
01
10
00
00
10
10
00
11
10
10
00
10
00
10
01
01
00
00
00
11
00
11
11
00
11
00
10
10
00
01
00
10
10
01
11
10
10
10
11
00
00
10
10
00
10
10
00
01
10
01
11
00
10
10
11
00
00
00
10
10
00
01
01
00
10
01
00
00
11
10
00
10
00
00
01
00
10
01
01
00
00
01
00
10
01
00
11
11
11
00
00
10
10
10
11
10
00
00
10
10
10
11
01
11
00
00
00
01
10
10
01
01
11
10
10
10
01
10
00
00
10
10
00
10
10
11
10
11
10
00
00
10
10
10
01
10
00
10
00
01
10
10
10
01
00
00
11
11
00
10
10
01
00
00
10
11
10
00
11
10
10
00
11
00
00
00
00
10
00
10
10
11
00
01
11
11
00
10
10
01
01
00
10
10
10
10
01
10
00
11
01
00
10
11
10
00
00
00
10
00
11
11
11
10
10
00
10
10
10
00
00
00
10
11
10
01
10
11
11
00
00
00
00
11
00
00
00
10
11
00
00
11
10
11
11
00
10
00
01
10
11
00
00
00
11
01
10
00
00
10
00
11
00
00
10
11
00
00
10
10
11
00
01
00
10
10
00
10
10
00
11
11
10
01
00
11
00
01
10
01
11
00
01
10
00
01
10
10
10
00
00
01
10
10
00
00
11
10
10
11
10
00
00
00
01
10
01
01
10
00
10
11
11
00
10
10
00
00
01
01
10
00
00
01
10
10
00
00
10
01
10
01
00
11
00
00
10
11
10
11
00
00
10
00
11
11
00
01
00
11
01
10
10
01
00
10
00
10
10
00
10
01
01
11
10
00
00
00
01
01
11
10
11
11
00
00
00
00
10
10
10
10
10
10
01
00
00
01
11
00
10
11
00
10
01
11
00
11
10
00
10
00
00
10
00
00
00
00
00
01
10
01
10
10
11
01
01
10
00
01
10
11
10
11
10
10
00
11
10
11
00
01
01
00
01
10
01
01
11
01
00
01
00
10
00
11
00
01
00
10
00
01
11
01
10
00
00
10
10
10
11
00
10
10
00
10
10
10
00
00
10
00
01
00
01
10
00
00
10
10
11
00
00
00
11
10
10
10
00
10
10
01
01
10
11
11
10
01
10
10
00
10
00
00
10
01
01
11
10
00
00
01
01
01
11
11
00
00
11
10
01
00
01
10
01
01
11
10
01
00
10
01
00
10
10
00
01
10
10
00
00
10
00
11
10
11
00
10
10
01
10
11
11
00
10
11
11
11
10
00
10
11
11
11
00
01
10
00
01
10
10
00
00
10
00
00
00
00
11
00
10
01
00
11
11
00
11
11
01
10
10
10
00
10
11
01
00
11
11
10
11
00
00
00
10
10
10
01
01
11
10
00
00
10
10
10
01
11
00
10
11
11
10
00
00
00
10
01
00
00
00
10
01
00
11
00
10
00
11
10
01
00
10
11
00
10
10
00
01
00
11
10
01
11
01
01
10
10
00
00
11
11
00
01
10
11
00
00
00
00
01
11
00
11
00
00
10
10
10
00
10
00
10
10
00
00
01
01
01
00
00
00
00
00
00
00
11
10
11
01
00
10
10
11
01
10
10
00
01
00
10
10
00
10
10
10
00
10
01
00
00
10
11
01
01
00
10
10
11
10
11
00
00
11
00
00
01
10
10
01
00
00
00
00
00
10
11
00
00
10
10
11
00
00
11
00
00
10
10
01
00
00
10
11
01
01
00
10
10
00
00
11
10
00
10
10
00
00
11
01
10
10
10
10
11
10
00
00
00
01
10
11
00
00
01
00
00
10
10
01
10
10
01
01
10
10
10
11
00
00
00
10
10
01
00
00
00
11
01
00
00
00
00
00
11
10
10
11
00
10
11
10
01
11
01
00
00
00
11
00
00
10
10
00
11
10
01
10
11
10
10
01
01
00
10
01
11
00
00
01
00
10
10
00
00
11
00
10
01
00
10
00
00
10
10
00
01
00
11
11
00
01
10
11
10
10
01
01
10
10
10
01
01
11
00
00
00
11
10
00
01
11
01
10
00
00
10
11
00
11
11
00
10
00
10
11
00
00
00
11
01
00
00
10
10
11
10
10
01
00
10
01
00
01
11
10
11
10
11
01
01
11
10
11
00
00
00
11
11
00
01
11
10
01
10
00
10
10
00
10
10
00
01
10
10
00
00
01
11
11
00
01
11
11
00
11
10
01
10
11
00
00
11
10
11
01
00
10
10
11
10
11
01
00
10
00
01
00
00
10
10
10
00
00
10
10
00
01
11
00
11
11
00
10
00
00
01
10
00
11
10
01
00
11
01
01
11
10
00
00
00
10
10
11
01
00
11
10
10
00
00
11
10
00
11
00
00
01
10
00
01
00
01
10
00
11
10
10
00
11
10
00
01
10
00
01
10
01
01
11
10
10
11
00
11
10
11
00
00
11
01
10
11
10
10
10
11
00
11
00
00
10
10
11
00
10
11
01
11
11
10
00
00
10
01
00
11
10
00
00
00
01
10
10
00
01
01
00
00
10
10
01
00
00
10
10
10
01
10
00
10
00
00
00
10
10
11
00
00
10
00
01
00
00
11
10
00
01
10
10
10
11
10
00
00
11
10
00
00
11
01
10
10
11
00
00
11
11
00
00
10
10
10
10
00
01
11
00
10
10
10
10
11
01
01
11
10
11
00
00
10
10
10
00
01
10
00
10
00
01
00
11
10
00
10
10
01
01
11
10
01
10
01
10
01
00
10
10
00
10
10
00
10
10
00
01
10
00
11
10
10
01
10
10
10
10
10
11
10
10
11
10
00
00
11
00
00
00
00
00
11
10
10
10
01
00
10
11
00
01
10
10
10
10
10
01
00
11
00
11
00
10
11
10
10
01
00
10
00
00
10
10
11
10
00
01
01
01
11
10
10
10
00
10
00
00
10
01
00
00
00
00
00
00
11
11
10
01
00
10
00
10
01
01
10
11
11
10
01
10
00
01
01
11
10
01
11
10
01
11
01
01
01
11
10
11
01
11
00
01
10
00
00
10
10
10
00
10
00
01
11
10
00
11
01
00
10
00
11
10
10
01
01
11
00
10
10
10
00
11
10
01
10
01
11
10
11
00
10
10
01
00
00
10
10
10
00
00
00
01
10
10
11
00
00
10
11
01
10
10
01
10
00
00
00
01
00
00
10
00
00
11
00
11
10
10
10
10
00
11
10
01
11
00
00
10
11
10
10
01
00
10
00
01
00
10
10
00
10
11
10
00
11
10
01
00
10
00
11
10
00
11
10
10
01
10
00
01
10
10
10
11
00
00
00
00
10
10
11
10
10
10
00
01
00
00
10
11
10
11
11
00
11
00
11
10
10
10
01
01
10
10
11
11
10
10
00
00
00
10
10
00
10
10
10
10
00
00
00
10
11
10
00
01
01
01
00
11
10
01
10
10
00
00
01
10
11
10
00
00
00
01
10
00
00
10
10
00
00
00
00
00
10
10
00
11
00
01
00
00
11
01
11
00
01
10
11
00
00
00
00
00
11
11
00
00
10
01
00
10
10
00
10
10
00
01
00
11
10
00
10
00
11
00
11
00
00
00
01
10
11
10
10
11
10
11
01
10
10
01
00
01
11
10
10
00
10
10
00
01
01
10
11
10
11
00
00
10
10
00
00
10
10
00
11
10
01
00
11
00
00
11
11
10
01
10
10
00
00
00
00
01
10
11
11
00
11
00
11
10
00
01
11
01
01
01
01
00
11
10
11
01
10
00
01
10
01
00
10
10
11
01
00
10
01
00
00
00
10
11
11
11
01
00
11
11
10
10
00
01
00
01
11
10
10
11
00
01
00
10
11
10
00
00
10
10
11
10
00
00
00
01
00
01
10
01
00
00
01
11
11
01
10
10
11
00
00
10
10
00
01
10
01
01
10
01
10
00
00
10
11
10
00
11
11
00
10
11
10
11
10
00
01
01
11
11
10
00
10
01
01
10
11
00
00
10
10
00
01
10
10
10
00
11
00
00
10
00
11
10
10
01
00
00
10
10
00
00
10
11
00
10
01
00
00
01
01
11
10
00
00
10
10
00
10
10
10
10
10
10
00
10
10
11
00
10
11
00
00
10
10
00
10
00
10
01
10
00
00
01
00
00
00
11
11
00
00
01
11
10
01
00
01
01
01
11
00
10
10
10
00
11
00
10
10
00
00
00
10
01
00
01
00
10
11
11
10
00
10
10
00
00
10
01
11
01
00
11
01
00
00
10
10
00
00
11
00
00
00
01
11
10
10
01
00
11
11
00
00
01
10
10
00
00
01
10
10
10
10
00
11
10
00
01
00
10
01
10
00
00
00
10
10
01
00
10
11
10
11
01
11
10
01
00
11
00
00
00
10
00
10
10
10
00
11
00
10
11
00
00
01
10
00
10
10
10
10
00
10
10
11
00
00
10
11
00
01
00
11
00
00
01
10
00
00
10
10
11
00
10
11
00
11
10
10
10
10
10
00
11
10
01
00
11
01
10
01
10
10
00
01
00
01
00
10
10
00
00
10
00
01
11
10
10
01
00
00
10
10
00
00
00
00
10
00
01
10
01
10
10
10
01
00
10
00
00
00
10
10
10
00
00
11
01
00
11
11
00
10
00
01
10
00
00
10
00
11
11
00
10
11
01
00
01
00
10
10
10
10
00
01
00
10
11
10
10
10
10
11
00
00
11
10
10
00
11
11
10
10
01
00
00
00
11
11
10
11
01
10
01
01
10
10
00
00
11
01
00
11
10
01
00
01
00
10
00
11
01
01
00
11
00
10
10
10
01
10
10
01
01
10
00
10
10
00
01
00
11
00
00
00
10
10
00
00
11
10
01
11
01
01
00
10
11
11
01
11
10
00
11
00
01
10
10
01
11
01
10
10
01
00
01
11
10
01
00
00
10
01
00
10
00
11
00
10
01
00
11
10
00
01
11
10
11
00
00
10
01
00
10
11
00
10
00
01
11
10
01
00
00
00
00
11
10
10
00
01
00
00
10
10
00
00
00
10
00
10
01
00
01
01
10
10
11
11
00
11
10
01
01
10
10
00
00
11
11
00
00
10
10
01
10
00
01
10
00
10
10
01
00
01
10
10
10
00
10
11
10
01
00
11
10
10
11
11
01
10
00
01
00
10
10
10
00
00
10
11
00
10
00
01
00
10
00
00
10
00
00
10
10
00
10
11
00
00
10
10
00
10
11
11
00
00
10
10
01
11
01
00
11
10
01
10
01
11
11
01
01
10
10
00
01
11
10
01
01
01
10
10
00
11
11
10
01
11
10
10
10
01
00
01
11
10
10
01
00
00
11
10
00
10
00
00
11
11
10
11
10
10
00
00
00
11
00
01
10
00
00
00
10
00
00
10
10
10
00
10
10
00
00
10
01
10
10
11
00
11
10
01
01
10
10
00
00
10
00
00
10
00
00
00
11
10
11
01
10
10
10
10
00
11
10
01
00
00
10
10
00
00
10
10
01
00
11
11
10
10
10
10
10
10
01
01
10
10
10
10
01
00
11
00
00
10
01
11
00
11
11
11
00
11
10
10
01
00
11
01
00
10
00
00
01
01
11
10
11
01
11
00
10
00
11
00
01
11
01
00
01
00
00
00
11
00
00
11
10
00
10
11
00
10
00
10
11
10
10
00
00
01
10
00
00
10
00
10
00
00
01
00
11
10
11
10
00
11
10
10
00
01
10
10
01
00
11
11
11
00
10
10
10
10
01
10
01
11
10
01
00
00
11
11
10
00
00
10
00
00
00
10
00
11
00
00
01
01
11
10
10
00
00
00
00
10
10
00
00
10
01
00
00
10
10
10
01
10
11
01
00
11
00
01
00
01
11
00
11
10
01
00
00
11
10
01
11
10
00
00
11
10
10
01
00
01
10
10
11
11
00
11
11
00
10
00
10
10
10
01
00
11
00
01
10
10
00
00
10
10
10
10
11
00
11
00
00
10
01
00
00
01
10
10
10
11
00
01
01
10
00
00
10
00
00
11
10
00
00
00
01
10
00
00
11
00
00
00
11
10
10
10
00
00
10
00
00
10
10
01
10
11
10
00
01
10
11
00
10
11
11
11
11
00
00
00
01
10
10
00
01
00
10
01
11
00
10
00
10
10
11
11
00
11
10
00
10
11
10
01
10
11
00
11
00
01
00
11
00
00
10
11
11
00
01
10
10
00
00
00
01
10
10
10
01
10
11
10
00
00
10
00
00
10
11
11
00
10
00
10
11
11
00
00
10
01
10
01
01
10
00
11
01
00
11
11
11
10
01
00
11
11
01
01
00
10
10
10
11
01
01
10
01
10
10
00
11
10
10
00
11
00
00
00
00
10
00
10
11
10
11
00
10
00
01
11
10
11
00
01
11
11
00
10
10
00
11
10
10
00
10
10
10
11
10
10
00
10
00
00
10
10
01
00
11
01
10
11
00
10
10
00
00
10
01
00
00
11
11
00
00
10
01
10
10
11
11
01
10
10
10
10
11
10
01
01
01
10
00
10
10
10
00
10
11
01
01
11
10
10
00
10
00
01
00
10
11
01
11
00
01
00
00
11
00
11
11
10
10
10
10
01
00
11
11
10
10
01
01
10
01
01
01
00
10
00
10
11
01
10
10
10
01
10
01
01
10
10
11
00
00
10
11
11
01
00
11
10
00
00
01
01
10
00
00
00
10
10
11
10
01
10
00
10
00
00
10
00
00
11
00
11
11
00
10
10
00
00
10
11
10
01
10
10
00
01
10
10
00
01
00
00
10
10
11
00
10
00
10
00
11
10
00
00
00
00
10
10
10
11
00
11
00
00
01
00
00
10
10
00
01
10
10
10
01
00
10
00
00
10
01
10
10
10
00
00
11
00
01
10
01
00
01
10
10
01
00
00
10
10
10
10
00
00
10
00
11
00
00
00
11
10
01
11
10
00
00
11
00
10
11
11
01
11
00
00
11
10
10
00
00
00
11
00
11
10
01
01
01
00
10
10
00
10
10
00
10
01
11
11
10
00
11
10
10
01
11
10
10
10
01
01
00
00
11
00
00
10
01
00
11
11
10
00
00
00
10
10
00
01
11
01
00
00
10
00
11
10
00
00
00
10
10
01
10
10
01
11
00
10
10
01
00
11
10
10
10
00
00
10
01
01
01
01
10
00
00
00
11
10
01
00
11
11
10
00
11
00
01
10
10
00
00
10
00
01
11
11
00
00
10
10
00
01
10
00
00
00
01
10
01
00
01
10
00
10
10
10
00
00
10
11
00
00
10
01
00
11
00
00
01
00
10
00
00
10
00
00
10
01
01
11
10
01
00
11
10
00
10
11
00
11
11
00
00
00
10
00
10
11
00
11
00
11
00
10
01
00
00
10
11
01
10
01
01
10
10
01
10
11
10
01
01
01
10
00
01
10
00
00
10
10
10
01
00
10
10
10
00
01
00
11
11
10
00
01
11
00
10
00
10
00
00
10
00
10
10
01
10
01
01
01
11
00
01
00
10
00
10
10
10
10
01
01
00
10
10
00
10
10
01
00
11
00
11
01
11
10
10
10
00
00
00
00
10
00
10
10
10
01
10
11
00
10
10
11
11
00
00
10
10
10
00
10
01
00
10
10
10
01
10
00
01
11
11
00
10
00
01
10
00
10
11
10
01
00
10
00
11
10
01
00
10
01
00
11
00
00
10
01
00
10
11
00
01
00
10
10
10
00
11
00
00
00
10
00
00
10
10
10
00
11
10
10
10
00
00
10
01
01
00
10
01
10
11
10
11
10
00
10
10
01
00
01
10
01
11
10
00
01
00
01
10
10
10
10
00
10
00
11
10
00
10
10
01
01
11
10
01
00
01
01
11
10
10
00
01
10
00
01
11
10
01
11
11
10
10
00
01
11
10
10
10
00
01
10
01
10
11
10
10
10
10
11
00
10
00
00
10
00
00
10
11
00
10
00
00
11
01
00
10
11
11
00
00
01
00
01
00
10
10
00
11
10
00
01
10
11
11
10
00
01
00
11
10
00
10
10
00
10
10
01
00
00
01
11
10
00
00
00
01
11
11
10
11
10
00
00
10
10
00
01
10
10
00
00
10
11
00
00
10
01
11
10
10
00
00
00
10
00
11
11
00
01
10
00
00
10
11
10
00
10
01
00
01
01
10
10
00
01
00
10
11
10
00
10
11
01
11
11
00
11
00
00
10
10
10
11
10
00
10
10
10
10
00
01
10
10
00
00
10
11
10
11
00
01
00
11
01
11
10
00
00
11
10
00
10
10
10
00
10
00
10
10
00
10
10
00
10
11
01
10
11
10
11
11
00
01
00
01
10
00
00
10
10
10
01
10
00
11
00
11
10
00
11
10
01
11
00
10
10
01
00
00
10
10
00
00
00
10
10
10
10
00
10
00
10
01
00
00
00
01
00
01
10
01
11
10
11
11
01
00
00
00
00
00
10
00
00
10
01
00
10
11
00
00
11
00
11
00
10
11
00
00
10
01
00
10
00
11
01
01
00
01
00
10
00
00
10
11
10
01
01
00
00
10
10
11
01
00
10
10
10
00
11
00
10
10
11
00
00
01
00
10
01
11
11
01
00
10
11
10
01
00
10
11
10
00
10
11
11
01
00
00
00
11
01
00
10
10
00
00
00
10
10
01
00
10
01
01
01
10
10
00
00
10
10
00
00
10
01
10
11
01
10
10
00
10
00
10
00
10
00
00
10
00
10
00
00
01
10
11
11
11
01
11
00
11
01
00
10
10
00
11
11
00
11
01
01
10
10
00
00
00
00
01
10
11
10
10
11
11
11
00
10
10
00
01
10
11
01
01
10
11
01
10
10
00
11
10
11
00
10
10
10
01
11
10
00
00
01
01
00
00
11
00
00
01
10
01
00
10
11
11
11
00
11
11
01
01
00
00
01
00
11
10
00
10
10
00
10
00
00
10
01
11
01
10
01
00
00
01
11
01
10
10
10
00
00
01
11
10
10
01
00
10
10
00
01
11
10
10
00
10
00
10
10
00
10
00
10
01
00
01
10
10
01
00
11
01
00
00
10
10
10
11
11
10
00
00
00
10
11
11
00
01
10
01
10
00
10
11
00
01
10
11
01
00
00
00
11
10
10
00
10
11
11
11
10
01
10
10
10
01
00
10
11
10
00
01
10
00
10
00
00
10
10
00
00
10
01
10
10
10
11
10
00
00
10
00
00
00
10
10
10
01
10
00
11
00
00
10
10
00
01
11
10
10
01
01
11
00
11
01
00
10
10
11
01
00
01
00
00
00
10
00
11
10
00
01
00
01
11
00
01
10
11
10
10
00
00
00
10
00
00
10
01
00
00
01
10
01
11
11
00
10
10
10
11
01
01
00
10
01
00
00
11
11
00
01
10
00
10
00
10
00
01
10
00
01
10
11
00
10
10
01
11
01
00
11
01
10
00
10
10
00
10
00
01
01
00
00
01
10
10
11
00
11
11
10
00
01
11
00
00
00
11
00
10
11
00
10
10
00
01
00
10
10
00
10
00
10
00
10
10
00
00
10
11
00
01
10
00
01
10
00
00
00
10
00
01
10
10
10
00
11
10
00
00
10
10
01
11
10
01
01
10
01
10
01
11
01
00
11
10
11
10
01
00
00
00
00
01
10
01
01
11
00
00
00
00
00
10
11
11
10
10
11
11
10
01
00
01
00
00
11
10
01
00
10
10
10
11
00
10
01
00
10
01
00
11
11
10
11
10
10
10
00
11
10
11
00
01
10
00
11
10
00
01
00
10
00
10
11
10
01
01
01
10
00
10
11
01
11
00
00
00
10
11
10
11
00
00
10
11
10
11
00
01
01
11
10
10
00
00
10
01
10
11
00
10
11
00
01
11
10
00
01
10
11
10
00
00
00
10
11
00
00
10
00
00
00
10
01
00
01
01
11
11
01
10
10
00
00
10
11
00
00
10
10
01
01
00
10
00
01
00
01
10
00
10
01
00
11
01
10
10
11
00
01
00
01
10
11
00
00
00
10
01
00
00
10
00
00
00
00
10
00
01
11
00
00
10
01
11
00
00
10
10
00
00
00
10
00
10
00
00
00
11
00
01
00
10
01
00
11
11
00
01
11
11
11
11
00
10
00
01
11
11
01
01
10
11
00
10
00
00
01
10
10
00
00
10
10
00
00
11
00
00
10
10
10
10
00
01
11
11
01
00
00
10
10
10
10
00
00
00
00
10
00
00
01
01
00
00
10
10
00
10
10
00
00
10
11
00
01
11
11
10
00
00
10
10
01
01
10
11
10
10
11
10
00
00
10
10
11
00
00
10
00
00
10
00
00
01
00
10
00
00
10
00
11
11
00
10
00
10
00
11
00
00
10
11
00
01
11
10
00
01
11
10
10
01
00
10
11
00
11
10
00
00
01
11
10
01
00
01
00
11
10
00
10
10
10
01
11
10
10
00
00
11
00
00
01
11
00
00
00
00
10
01
00
10
10
00
00
00
10
11
00
11
01
00
10
10
00
00
00
10
00
10
00
01
00
11
10
10
10
00
00
00
01
10
00
00
00
11
11
10
00
01
11
01
11
00
10
10
01
00
01
10
11
01
10
01
01
00
10
01
00
00
11
00
10
00
00
10
10
01
10
10
11
10
00
00
10
01
10
00
00
11
00
11
01
10
00
11
10
10
00
00
10
10
00
01
11
10
00
10
01
01
01
01
01
10
11
11
00
11
10
00
00
10
11
01
00
11
10
00
00
11
10
10
00
00
10
00
10
10
10
01
10
10
01
01
11
00
10
10
00
01
10
01
00
11
10
00
01
10
10
00
00
00
01
00
00
00
00
00
10
10
11
11
11
01
10
10
10
00
10
11
00
00
00
11
10
10
01
10
10
00
00
11
10
00
00
10
01
11
11
10
11
00
00
00
00
11
00
00
11
10
11
00
10
00
01
10
00
01
11
00
01
00
10
10
10
10
00
00
11
00
00
01
00
10
00
01
00
10
10
01
10
11
00
00
00
01
10
01
11
11
10
10
00
00
10
10
00
11
00
00
10
01
11
10
00
11
10
01
00
00
11
00
00
10
11
01
10
11
10
11
00
01
01
00
10
10
11
10
11
00
01
10
10
00
10
00
11
10
00
00
00
10
10
01
00
10
00
00
10
10
00
00
10
10
10
00
00
00
11
11
01
01
11
10
00
10
10
11
00
01
10
00
00
00
10
10
00
00
11
10
00
11
00
10
10
11
00
01
11
11
00
10
00
01
10
11
01
10
10
00
00
11
10
00
11
11
10
00
00
10
00
01
10
00
01
10
10
10
01
11
00
11
01
10
00
10
10
00
00
10
10
00
00
10
11
00
01
00
11
00
00
10
11
01
01
00
00
10
10
01
00
00
11
00
10
00
10
11
00
00
10
10
01
00
10
11
10
10
00
01
10
11
10
10
11
10
10
01
10
10
01
10
00
00
00
11
10
01
00
10
00
10
00
11
00
00
10
00
01
00
10
10
10
01
10
01
10
10
10
00
00
10
10
01
00
10
10
00
01
10
00
10
00
10
10
00
10
10
10
00
01
10
01
00
10
10
01
00
00
11
00
10
11
00
00
10
10
01
10
00
10
11
10
11
10
10
10
10
11
00
10
11
11
10
00
01
11
10
00
00
11
11
00
10
11
11
01
00
10
10
10
10
00
00
10
10
10
10
11
01
10
10
01
10
00
10
00
10
00
00
11
11
00
00
11
01
00
00
10
11
00
10
00
00
10
01
11
01
10
11
00
10
10
00
10
11
01
00
01
10
10
00
11
00
10
10
10
11
00
01
10
10
00
00
10
11
00
00
01
11
10
10
00
11
11
01
00
10
01
01
00
10
00
00
10
00
01
01
11
01
01
00
11
00
10
00
11
10
01
10
00
00
00
10
11
10
00
11
00
10
11
00
10
10
01
10
10
10
00
10
11
00
11
10
00
10
00
10
01
11
10
11
00
00
01
11
11
10
01
00
11
10
00
11
10
10
00
01
11
00
01
10
10
10
10
10
01
01
01
01
00
00
00
10
00
01
01
10
10
01
10
11
11
10
10
10
00
01
00
11
11
10
00
01
11
01
00
10
10
00
00
00
10
11
00
10
00
00
10
00
10
10
00
11
10
00
01
10
10
11
01
10
00
01
11
10
11
00
11
11
00
00
10
10
01
00
11
10
10
11
00
00
00
01
10
11
00
00
00
11
00
00
10
10
11
00
10
10
00
00
01
01
11
10
01
00
01
11
00
00
10
01
01
01
11
10
00
10
01
10
10
01
11
11
00
11
00
10
00
01
10
11
00
11
00
10
00
00
11
00
11
10
01
00
00
00
10
01
00
00
10
00
00
00
10
00
10
10
01
10
10
10
01
10
11
10
10
00
00
00
01
00
10
10
00
10
01
01
11
11
10
10
00
10
01
11
11
00
00
10
10
10
00
00
10
11
10
10
11
01
00
10
10
01
10
01
10
10
10
01
01
11
10
00
00
01
11
10
10
11
11
10
10
01
00
01
10
10
11
11
01
00
00
11
10
11
11
01
00
00
01
10
01
01
11
11
11
01
10
10
01
10
10
11
00
01
00
01
11
00
10
00
00
10
01
00
10
10
00
10
11
00
00
00
11
10
10
01
10
00
00
00
10
10
00
00
11
10
11
00
10
10
10
00
10
10
00
01
10
10
11
10
00
00
01
11
11
01
00
00
00
00
10
00
10
00
01
11
10
00
10
10
11
10
00
11
00
01
10
10
00
00
11
11
00
11
11
00
10
10
00
01
10
11
00
00
10
10
10
01
11
10
00
01
01
01
00
11
10
11
10
00
00
10
01
00
01
11
00
00
10
00
00
11
11
00
11
00
01
01
00
00
10
10
00
11
11
11
01
11
00
11
11
00
00
00
10
00
10
10
11
11
00
00
11
00
00
00
01
10
10
00
10
01
01
00
01
10
10
10
10
10
00
10
10
01
10
01
11
00
01
10
11
11
10
00
10
10
00
11
10
01
00
11
01
10
10
00
11
10
01
01
00
00
10
11
10
01
00
10
00
10
10
01
00
00
00
01
00
11
00
00
01
01
10
11
10
01
01
10
10
01
10
01
10
11
00
00
10
11
10
01
10
00
11
00
00
00
01
10
01
00
10
00
10
00
00
10
10
00
10
10
11
01
01
11
00
11
10
11
00
01
01
10
01
10
00
01
10
10
10
10
00
10
00
10
10
11
00
00
00
00
10
11
00
00
00
10
01
10
11
01
11
10
00
10
01
00
10
10
00
01
11
00
10
01
01
00
00
10
00
10
01
10
00
00
10
00
00
00
00
11
10
11
10
01
10
00
00
10
10
00
00
10
00
00
11
10
11
10
01
10
00
11
00
00
10
10
00
00
10
10
00
11
11
11
00
00
10
10
11
10
10
00
00
10
01
00
11
01
10
11
00
10
10
10
00
11
10
01
01
00
10
01
11
00
00
11
11
00
00
10
00
01
10
10
01
00
01
01
10
00
11
11
00
00
11
10
00
10
10
00
00
00
00
10
10
00
01
01
11
10
10
00
00
01
10
10
01
01
10
10
11
10
00
01
00
00
00
10
10
00
01
01
00
10
11
11
10
01
01
10
00
00
10
10
11
00
10
01
00
11
11
10
00
01
10
10
10
00
10
10
11
11
10
00
01
00
10
10
00
00
10
10
10
01
00
00
10
00
10
01
10
11
10
10
11
00
10
00
00
11
11
11
00
00
00
00
11
10
00
00
11
00
10
11
01
00
10
01
10
10
00
00
00
11
10
10
10
11
10
11
00
10
00
00
00
10
10
00
00
00
01
00
00
01
00
11
01
10
10
00
10
10
01
01
00
10
01
10
10
00
00
10
11
11
10
01
11
00
00
00
00
00
01
10
01
00
10
10
10
10
11
11
10
01
00
01
00
01
11
01
10
00
00
10
10
11
10
00
10
00
10
11
11
10
00
00
01
10
11
01
10
11
00
01
00
00
10
10
10
01
00
10
10
10
11
01
00
01
00
00
11
10
00
01
01
10
10
00
00
10
10
10
11
00
01
11
11
00
00
10
00
00
11
11
00
10
10
00
00
10
10
11
00
01
10
11
00
00
10
00
00
10
10
00
01
11
00
01
00
10
00
10
11
00
11
10
10
00
11
10
01
10
11
10
01
00
10
10
00
11
11
00
00
11
00
00
11
10
11
10
11
10
00
00
11
01
10
01
01
11
11
10
00
10
10
01
10
00
01
10
00
00
01
10
11
00
01
00
10
00
10
10
11
11
00
00
10
00
10
10
00
10
11
10
00
11
00
11
00
10
11
11
10
00
01
01
11
10
10
10
00
00
00
00
00
10
00
00
10
00
10
00
10
00
11
11
11
00
10
11
00
11
10
00
10
10
11
01
10
10
11
00
11
10
10
10
00
10
00
10
11
01
01
00
00
01
00
11
00
00
10
11
00
11
10
10
00
00
10
00
00
00
10
11
11
10
01
10
00
11
00
00
10
00
00
00
11
10
00
00
10
01
00
10
10
10
00
10
00
10
00
11
10
10
00
11
10
10
00
01
00
10
01
11
10
10
10
00
01
10
10
10
00
00
00
00
00
10
10
00
00
00
10
10
00
00
01
00
00
11
10
10
10
00
01
00
10
00
10
10
01
00
10
11
01
11
00
00
00
10
00
00
10
10
01
10
11
10
10
10
01
01
00
01
10
11
00
01
10
10
00
10
01
00
01
10
00
00
11
00
10
00
00
00
11
11
10
10
00
11
10
10
10
10
00
00
10
10
10
10
01
00
01
10
10
00
10
10
00
01
10
10
00
00
10
11
01
00
10
11
10
01
00
11
01
01
00
10
10
10
10
00
00
11
10
10
01
00
11
00
11
11
10
01
10
00
00
00
10
11
01
00
10
00
10
11
00
10
00
11
11
00
00
00
00
00
00
10
11
11
10
01
00
11
01
00
11
01
10
00
10
11
10
01
00
10
00
00
01
00
10
10
10
10
01
01
10
00
00
10
10
10
00
11
01
01
10
10
00
01
10
10
11
00
00
00
11
11
01
00
10
01
00
10
10
00
00
10
00
11
11
10
00
10
10
10
00
00
01
10
11
00
01
00
11
00
00
00
10
01
00
10
11
00
10
00
10
11
10
01
00
01
00
00
10
10
00
01
10
10
01
11
00
01
10
10
10
10
01
11
11
01
00
10
00
10
10
11
00
00
10
11
00
00
10
10
00
01
10
10
10
00
00
00
01
10
00
00
00
10
00
10
10
00
00
00
00
01
01
00
10
11
10
11
00
11
11
00
10
10
11
00
00
10
00
11
10
10
01
10
11
01
01
10
10
00
11
10
11
00
01
10
11
10
00
00
10
00
01
11
11
10
00
11
00
10
00
10
10
00
11
10
11
00
01
10
10
01
00
11
10
01
10
10
00
10
00
00
00
11
00
00
10
10
00
01
01
00
10
10
00
10
01
10
10
01
01
10
00
00
10
00
10
00
00
10
11
10
00
01
10
01
10
11
01
00
00
10
11
00
10
11
00
10
10
00
01
10
00
10
00
11
00
11
01
11
01
01
10
00
00
10
10
01
00
11
00
00
10
11
10
01
11
01
10
10
00
10
00
00
10
11
01
00
00
11
10
00
01
10
10
10
01
00
10
01
00
10
01
10
00
00
00
11
10
10
10
00
00
11
11
00
00
00
11
10
10
01
10
00
10
10
00
00
10
11
11
00
11
10
00
10
10
01
10
10
00
10
00
00
00
11
10
00
10
11
10
00
01
00
10
00
10
00
11
01
10
10
11
11
11
10
00
00
11
10
11
11
01
00
11
00
10
00
10
00
00
11
10
01
10
11
00
00
01
10
11
00
10
11
10
01
11
11
10
10
10
01
01
11
10
01
10
11
01
01
01
10
00
00
00
10
10
00
00
10
11
10
11
10
00
10
10
01
11
01
01
10
10
10
01
11
11
01
10
00
10
10
11
00
00
10
10
01
10
00
00
00
10
11
10
00
11
01
00
11
00
11
11
11
00
00
10
11
00
00
00
10
00
00
00
01
10
01
00
10
00
10
00
11
00
00
11
10
00
01
00
11
11
01
10
11
01
10
10
00
11
10
11
01
00
10
11
00
00
10
00
00
10
11
10
10
10
00
00
01
10
01
00
11
10
10
10
00
00
10
01
00
00
10
10
11
10
10
01
00
00
10
00
01
10
00
11
00
00
01
01
11
00
10
11
10
00
11
10
10
01
11
00
00
10
00
11
10
01
10
01
10
11
01
00
01
10
00
01
10
10
00
00
10
01
00
11
01
10
01
00
01
10
11
01
01
10
10
10
10
01
00
10
10
10
00
10
11
00
11
10
10
00
10
00
01
11
11
01
00
10
10
10
00
01
00
11
10
00
00
11
11
11
10
01
10
00
00
11
00
01
10
10
00
00
10
00
00
10
00
00
10
11
10
00
01
11
10
00
01
00
10
00
11
10
10
10
10
11
10
00
00
10
00
10
10
00
00
10
10
10
00
01
10
00
11
10
10
00
11
11
01
01
00
00
10
11
10
00
00
11
10
00
11
10
01
00
10
11
00
00
01
00
10
10
10
00
10
10
00
10
10
00
10
01
11
00
10
01
01
11
00
00
00
00
10
11
00
00
00
10
10
11
01
00
10
11
01
10
11
00
00
00
01
01
01
00
10
10
10
01
10
10
00
00
11
00
11
00
01
00
10
11
11
00
00
10
11
10
10
11
01
00
10
00
10
11
10
00
00
10
11
10
00
01
10
11
11
00
01
00
01
10
01
00
11
10
00
11
00
01
10
00
10
10
01
10
10
00
00
10
01
01
10
11
10
10
10
10
01
00
00
11
10
11
01
00
01
10
11
00
00
10
11
00
11
00
01
00
00
10
10
00
01
11
11
00
11
00
00
10
01
10
10
10
01
01
01
01
10
10
10
00
00
10
11
00
00
10
10
00
11
00
11
11
00
00
00
00
11
00
00
00
00
11
00
10
11
10
00
10
00
01
10
11
00
00
10
10
10
10
00
01
01
11
01
10
10
00
00
00
10
11
00
10
00
00
10
00
01
10
10
00
00
01
10
10
00
00
10
00
00
11
00
00
10
01
00
10
10
10
01
11
01
01
00
10
10
00
00
11
11
01
00
00
00
11
10
11
01
01
00
01
00
01
11
01
10
10
00
00
10
10
00
00
00
11
01
11
00
11
11
10
01
00
10
11
10
01
00
11
10
10
01
10
10
00
00
10
01
00
10
00
00
01
01
10
00
00
00
10
11
10
00
00
10
00
10
10
00
00
10
00
00
01
01
00
01
00
01
01
11
11
00
10
10
11
00
11
10
00
10
11
11
10
01
10
00
11
00
10
01
10
10
00
00
01
11
10
00
00
00
10
00
00
10
00
10
00
00
00
10
00
00
10
00
01
10
10
10
01
01
00
10
01
10
11
10
11
10
00
00
10
10
00
10
10
00
10
10
10
01
11
11
00
11
10
10
00
00
10
11
10
01
11
01
00
00
10
10
10
10
00
11
01
00
00
01
11
10
00
00
00
10
10
10
00
00
11
01
10
11
00
10
11
10
00
00
10
11
11
00
00
01
00
10
00
11
11
11
00
00
01
10
11
10
00
00
11
10
10
00
00
10
00
10
11
00
11
10
10
00
10
01
01
00
01
10
10
11
11
00
01
11
10
00
00
10
10
01
10
11
00
01
01
01
10
00
00
00
11
10
01
00
10
11
01
11
10
10
01
00
00
00
10
00
00
00
01
10
00
00
10
00
00
10
00
00
10
00
01
00
00
00
10
00
11
00
00
00
10
10
10
01
11
10
00
10
00
00
00
10
00
00
10
10
01
10
00
00
10
11
01
01
10
10
10
10
10
00
00
00
10
10
00
11
01
00
10
10
01
10
10
01
00
01
10
11
01
01
10
01
00
10
10
00
01
10
11
00
00
10
01
00
01
00
10
10
00
00
00
01
10
00
00
10
10
01
00
11
10
10
11
00
10
10
01
00
00
11
01
10
10
10
11
00
10
10
10
00
10
10
00
01
10
00
01
01
11
10
01
00
11
01
10
10
01
10
00
00
10
10
01
00
10
00
00
00
00
11
11
10
00
01
10
01
00
01
10
11
10
10
10
11
11
10
11
01
00
10
10
11
00
00
11
00
00
00
10
00
01
10
11
10
11
00
01
10
00
11
10
10
11
01
10
01
01
00
01
00
01
00
10
11
11
01
00
10
11
00
00
00
01
10
00
01
10
11
10
01
11
10
01
11
01
00
11
00
01
00
10
11
00
11
00
00
11
10
00
10
01
11
00
01
00
01
10
11
11
01
11
00
10
00
10
10
01
10
10
10
11
01
00
11
00
00
10
01
00
00
10
11
00
01
00
10
01
00
11
11
10
00
00
01
00
10
11
00
01
00
01
10
01
10
00
01
10
00
10
10
11
01
01
10
01
01
10
10
00
01
00
10
01
10
10
11
11
00
10
11
00
11
10
00
00
00
10
01
01
10
10
10
10
01
10
00
01
10
01
00
11
10
11
00
00
10
10
01
00
10
00
00
00
00
10
00
11
11
11
11
10
00
00
00
10
10
01
11
01
11
10
00
10
00
01
10
10
11
00
00
00
00
10
10
11
10
00
00
10
10
10
00
11
10
00
00
10
10
10
01
00
01
00
10
10
10
01
00
00
10
10
01
01
01
10
01
10
10
00
10
00
10
10
10
11
11
10
01
10
10
10
00
01
10
10
00
00
00
10
00
01
10
01
10
11
01
00
11
01
00
10
00
10
00
11
11
01
11
10
10
01
00
10
00
01
10
10
00
00
00
01
11
10
10
00
01
00
01
00
11
00
00
11
01
01
11
11
00
00
01
10
01
10
10
10
00
10
11
01
00
00
01
11
10
00
00
10
01
10
00
00
11
10
00
01
00
10
00
11
00
10
11
00
11
11
00
10
10
01
11
11
00
10
11
10
00
10
01
00
00
10
11
11
11
00
10
00
00
10
10
00
01
01
01
01
10
11
00
10
10
01
00
11
10
10
11
10
00
00
00
11
00
00
10
10
10
00
00
00
10
10
10
10
00
00
00
00
10
10
00
10
01
00
11
11
00
10
00
01
10
11
00
11
01
00
00
10
00
11
11
11
10
00
00
10
10
00
10
00
00
10
10
01
10
11
01
10
00
00
10
11
10
00
01
11
01
10
10
01
10
00
00
10
10
11
00
01
11
01
11
10
10
10
00
00
10
10
00
01
00
11
11
01
00
11
10
00
10
10
10
01
00
11
11
10
00
10
10
00
00
10
00
11
10
01
10
11
10
11
00
00
00
11
00
00
11
00
10
10
00
10
01
00
11
10
00
00
10
11
11
01
00
10
01
01
00
10
10
01
11
01
10
01
00
10
00
11
11
10
11
00
01
11
10
00
11
10
10
11
11
10
00
00
10
11
10
00
00
01
01
01
11
00
00
10
11
01
10
11
00
11
10
01
01
10
11
01
11
01
11
10
10
01
00
11
00
10
10
00
00
10
01
00
00
00
10
11
10
00
00
00
10
10
10
00
00
00
10
00
00
10
00
10
10
00
10
10
01
10
01
00
01
10
10
00
00
10
10
01
00
00
01
00
00
00
10
11
00
00
10
00
10
10
00
01
00
11
00
10
00
10
01
00
10
11
11
00
11
00
01
10
10
11
10
11
01
00
01
10
11
00
11
10
00
00
11
11
10
11
10
01
01
01
11
10
01
01
01
11
10
00
01
00
00
11
10
00
00
11
00
01
10
11
11
11
11
01
00
00
11
10
00
00
10
10
10
00
00
00
11
00
00
00
00
00
00
11
11
11
01
01
00
11
10
01
10
00
00
00
10
11
00
01
10
10
10
00
11
00
10
11
00
10
00
01
10
01
10
11
00
00
00
01
00
10
00
00
10
10
00
01
00
00
00
10
01
00
10
10
00
10
11
00
10
10
11
10
11
00
01
00
10
10
00
11
00
10
10
11
11
11
00
00
01
00
01
00
10
10
01
01
11
11
00
00
00
01
11
01
01
10
11
10
00
11
10
00
00
00
10
00
00
00
00
10
10
00
00
11
11
11
01
00
01
10
01
10
00
10
01
01
11
10
00
00
00
00
11
11
01
00
01
10
10
00
00
01
10
00
01
10
01
10
00
00
10
10
01
11
10
11
01
10
00
00
00
01
00
10
11
01
01
11
00
00
10
11
10
10
10
00
01
10
00
11
10
00
00
00
00
00
10
10
00
01
11
01
10
01
00
00
01
01
00
10
10
10
00
11
11
00
00
00
11
00
10
00
11
00
11
10
01
01
01
10
00
00
10
10
00
10
11
10
10
00
00
00
10
00
00
01
11
10
11
10
00
11
10
00
10
10
00
10
10
01
11
10
00
00
10
01
10
11
00
10
01
10
00
10
00
00
00
00
01
01
10
10
00
10
10
11
00
01
10
01
10
00
10
10
11
10
01
00
00
11
01
01
10
00
00
01
10
10
00
00
10
10
00
10
10
01
10
10
00
00
00
10
10
00
11
11
10
00
00
00
01
10
10
00
10
10
01
00
10
01
01
01
01
00
00
11
10
00
01
10
10
11
00
10
00
01
10
11
10
00
10
01
00
10
10
01
11
11
11
11
10
10
00
00
00
10
11
00
00
10
10
00
00
10
01
01
10
10
00
10
10
10
10
00
10
11
11
01
00
00
10
11
10
00
00
11
10
10
00
00
11
00
10
10
11
00
00
01
11
11
11
00
00
10
00
10
11
00
01
01
11
00
10
10
10
11
00
00
10
10
00
01
10
11
00
10
11
10
00
00
00
00
00
11
10
00
01
00
10
10
00
00
10
10
10
10
10
00
00
01
00
00
10
00
11
10
10
10
10
00
10
00
10
01
11
10
01
10
11
00
00
00
00
10
10
10
00
00
10
10
00
10
10
00
11
01
10
00
10
00
01
10
10
00
01
00
10
01
00
01
11
01
11
01
10
00
01
10
01
01
10
10
01
10
00
01
10
01
00
00
11
01
00
11
01
00
10
10
01
11
01
10
11
10
10
00
00
00
11
00
11
10
01
11
00
11
01
10
11
00
11
10
00
00
10
10
01
00
10
10
00
00
00
10
10
01
01
10
10
10
01
00
10
11
00
00
00
01
11
00
10
00
10
00
11
01
10
10
00
10
00
10
11
10
10
01
00
10
01
10
10
01
00
10
10
00
01
10
11
00
10
11
00
10
10
01
00
10
11
11
01
01
10
10
11
00
01
11
11
00
11
10
01
10
10
01
10
10
00
10
10
00
00
01
00
10
11
00
00
10
10
10
10
00
11
10
01
01
10
01
00
01
10
01
01
00
10
11
01
00
00
11
10
11
10
01
00
10
00
10
01
00
00
10
00
00
11
10
11
00
00
00
01
01
11
10
00
00
00
10
11
10
00
01
10
00
11
10
01
00
00
11
10
00
00
11
11
00
11
00
00
11
00
11
11
00
00
10
01
00
00
00
10
11
11
01
11
11
11
01
00
00
00
00
00
10
11
11
10
01
11
01
00
10
00
10
01
01
00
11
00
10
01
10
01
10
01
00
00
10
01
00
10
00
01
10
10
11
01
00
10
00
11
11
11
10
01
10
01
00
10
00
00
11
11
00
00
01
00
00
01
10
10
01
01
10
10
01
10
11
11
01
00
11
00
11
00
00
00
10
00
00
11
10
00
00
01
10
00
00
10
10
00
00
00
01
00
01
01
01
10
00
11
11
00
01
10
11
11
10
01
10
00
01
11
10
10
11
00
00
10
10
00
10
00
00
10
10
11
01
10
00
10
00
10
01
10
10
00
10
00
10
00
00
10
10
10
01
11
00
00
10
00
11
01
01
11
00
00
10
01
10
01
01
11
11
10
00
01
11
00
11
10
10
11
10
00
00
10
11
01
10
01
00
10
10
10
10
10
10
01
01
10
11
11
00
01
01
10
10
10
10
01
00
10
10
11
11
01
00
01
00
11
10
00
00
11
00
01
10
00
10
00
00
00
11
11
10
00
00
10
11
10
00
01
10
00
10
11
10
10
10
10
10
11
00
10
00
01
11
00
10
10
01
00
00
00
11
00
10
10
10
10
11
01
11
11
01
00
10
10
00
10
11
00
00
11
10
11
11
11
00
00
10
10
10
11
10
01
10
10
00
01
10
01
11
10
10
00
00
01
00
11
11
00
00
11
10
11
10
00
00
10
01
10
10
00
10
00
00
00
01
00
00
10
10
00
01
10
10
00
11
10
01
00
01
11
11
00
00
01
01
10
11
11
11
10
10
00
11
10
00
00
10
11
10
01
00
10
11
10
00
01
10
10
00
00
10
10
00
11
11
00
00
00
00
01
10
10
10
00
00
01
00
01
10
11
01
00
10
11
10
01
00
00
10
10
00
00
00
10
00
11
10
00
00
11
00
10
00
10
10
01
10
11
00
00
01
01
11
00
10
10
11
10
00
10
00
11
10
01
10
00
00
01
10
00
00
10
10
00
00
11
10
00
10
11
01
01
11
00
11
00
01
10
10
11
00
11
11
11
00
00
10
00
11
10
00
01
11
01
01
10
11
00
10
00
11
01
00
00
11
10
10
00
00
00
10
01
10
11
10
01
00
01
11
10
00
00
00
11
00
00
00
00
00
00
10
10
11
10
10
11
00
00
11
01
01
00
10
00
01
00
00
10
10
01
10
01
10
10
10
11
10
00
00
10
11
11
11
11
01
10
00
00
10
01
00
11
10
00
00
00
10
11
00
01
01
00
00
11
10
10
10
00
00
00
10
10
10
00
01
00
11
10
00
00
10
11
10
10
00
10
11
11
11
11
11
11
00
10
01
00
10
10
01
11
01
11
10
01
01
00
10
01
00
01
01
01
10
10
10
11
00
00
10
10
11
10
00
00
10
00
00
01
01
01
00
10
01
00
00
10
10
00
10
10
01
01
10
10
00
10
01
01
10
10
01
10
10
10
00
00
10
10
11
10
00
01
00
10
00
10
10
10
11
10
00
01
10
10
10
10
01
10
11
01
11
10
00
00
01
10
11
00
00
01
11
10
11
00
00
00
11
10
00
10
10
00
01
00
00
10
11
00
11
00
00
10
00
00
10
11
00
00
00
00
01
00
00
10
01
11
10
00
10
11
11
11
01
01
00
00
10
10
10
10
00
00
00
01
00
00
10
01
10
01
01
11
10
00
10
00
01
10
10
00
01
11
00
11
11
01
10
11
01
10
11
01
00
10
10
00
00
00
11
10
00
00
00
10
10
10
10
10
01
10
00
00
01
10
11
00
01
10
10
00
00
00
11
00
01
01
10
11
01
11
10
10
00
00
10
01
10
10
10
10
01
01
00
11
10
00
00
00
11
10
11
00
11
01
11
01
01
01
11
10
11
10
01
00
11
10
00
11
10
00
10
00
01
01
00
00
10
10
00
00
11
10
10
00
01
00
10
01
10
11
00
01
00
01
10
11
10
10
00
00
00
11
01
00
11
10
10
10
00
00
00
10
00
10
00
10
10
00
00
01
10
10
10
00
00
00
10
01
10
11
00
10
01
00
11
11
10
01
00
01
10
10
11
10
11
11
00
00
10
10
01
11
10
11
00
01
10
00
11
10
11
00
00
10
10
10
10
10
00
00
10
00
10
10
00
01
10
10
00
00
11
11
01
00
01
00
00
10
01
10
10
10
11
11
00
01
10
00
00
10
10
01
10
01
01
10
00
10
00
00
11
10
01
00
10
10
00
10
10
01
10
00
11
00
10
00
10
10
00
11
00
00
00
00
10
00
10
01
10
00
10
01
00
10
11
00
01
10
10
00
00
00
10
00
01
10
10
11
00
01
10
10
00
10
00
00
11
10
00
00
10
00
10
01
00
10
00
01
11
10
00
10
10
00
01
10
11
00
01
00
00
00
01
10
10
10
10
11
00
11
00
10
01
11
10
01
00
10
11
00
11
11
10
00
00
00
10
11
01
10
11
11
00
00
00
10
10
00
00
11
00
01
10
01
00
00
10
11
01
01
00
10
01
00
11
01
00
10
11
00
00
00
11
10
10
10
01
10
10
00
00
01
00
00
01
10
10
10
10
10
10
10
10
01
00
01
00
01
10
01
00
11
00
01
11
10
10
00
10
10
00
00
10
10
01
01
01
10
11
10
10
00
11
01
00
01
10
11
01
10
00
01
11
10
00
01
01
10
00
00
10
11
10
00
01
11
10
11
10
00
10
00
10
10
10
00
01
01
10
10
01
00
00
10
11
01
00
11
10
11
00
10
10
01
00
11
00
10
00
10
10
10
10
00
11
11
10
00
00
00
10
10
10
00
11
00
00
10
00
10
10
10
00
00
11
10
10
00
11
10
00
10
00
01
00
11
10
01
00
10
11
00
10
01
10
11
01
01
10
01
01
11
10
00
00
10
00
00
10
10
10
00
01
01
10
00
00
01
10
10
10
01
10
00
00
01
10
10
00
01
00
00
00
11
10
00
10
00
11
01
10
00
00
11
10
00
11
00
00
11
00
11
00
00
01
01
01
11
10
10
00
11
11
10
01
00
10
00
00
10
01
10
00
00
01
01
10
10
10
10
00
00
10
01
00
01
00
11
11
00
10
00
10
10
00
00
10
00
10
00
01
10
11
10
00
11
10
11
11
00
00
01
11
10
10
10
01
01
10
01
10
11
00
10
10
11
10
11
01
00
00
10
01
01
10
11
11
00
01
10
10
11
10
10
00
00
00
10
00
10
11
10
00
10
10
11
00
10
11
01
01
01
01
10
01
01
10
00
00
10
10
00
10
10
00
10
10
10
01
00
11
00
10
00
11
00
01
10
11
10
10
01
00
00
10
10
00
10
10
01
00
10
10
10
10
11
00
00
11
01
00
01
10
10
00
11
11
10
01
00
11
01
01
00
00
10
11
01
10
00
00
00
10
10
00
10
11
01
01
10
01
00
10
00
10
10
10
00
00
01
10
00
10
10
01
00
11
10
10
00
00
11
01
11
10
00
10
00
01
01
00
10
00
10
11
11
10
00
00
00
01
10
10
10
10
10
01
01
00
00
11
10
10
00
10
10
00
10
11
00
10
01
01
00
01
10
11
00
00
10
11
01
00
00
11
01
00
10
10
10
01
01
00
11
00
00
11
10
10
01
11
11
01
01
00
11
11
01
11
01
01
10
11
00
00
10
00
00
11
10
00
11
00
00
00
01
10
10
10
00
11
00
00
10
01
10
10
11
00
10
00
10
10
00
10
00
10
00
10
11
00
00
10
10
01
10
11
00
00
01
00
01
10
00
00
10
10
00
00
10
01
00
10
01
11
01
10
01
00
10
01
00
11
11
00
10
00
00
10
11
00
01
10
10
00
11
00
10
00
01
10
10
11
11
00
00
00
11
00
01
00
10
00
00
10
01
00
10
00
10
00
00
00
10
00
10
00
10
01
10
00
10
10
11
11
10
00
11
01
01
00
10
11
00
10
00
00
10
10
10
10
01
10
11
11
10
10
10
10
00
10
10
00
11
01
11
10
01
00
01
00
10
10
10
00
01
01
11
10
01
00
10
00
01
10
10
00
00
01
00
01
10
11
00
00
10
10
01
10
00
00
11
11
10
00
00
10
11
00
11
10
11
00
11
00
11
00
10
00
00
10
10
00
00
01
01
11
00
01
00
10
11
00
10
10
11
01
10
01
00
00
10
10
10
10
01
00
10
01
00
00
10
10
00
10
00
11
01
00
10
11
00
10
10
10
10
00
00
00
00
10
10
01
00
00
11
10
11
10
10
01
00
11
11
10
01
01
10
10
01
01
01
11
10
10
00
00
11
00
01
01
00
00
10
10
01
11
10
01
00
11
11
11
10
01
00
10
10
00
10
11
01
10
10
00
01
10
10
00
11
01
11
01
00
00
10
00
00
11
10
10
00
00
00
00
11
01
01
10
10
00
00
00
00
10
11
00
01
10
11
00
11
11
11
00
00
11
00
10
00
00
10
10
10
00
00
00
01
01
10
01
00
01
11
10
00
11
00
00
00
10
11
00
00
10
10
11
11
11
00
11
00
00
00
01
10
10
00
01
10
10
10
00
00
10
10
10
10
00
10
10
10
00
10
00
00
00
10
00
00
00
10
01
01
01
10
00
10
11
11
10
00
00
10
01
10
01
10
00
00
00
11
01
10
01
00
00
10
10
11
00
00
10
10
11
00
01
10
10
01
10
10
10
11
00
00
01
01
10
01
00
11
10
01
00
10
11
00
01
01
10
10
00
00
11
00
00
10
10
01
11
01
00
11
10
11
10
10
11
00
00
00
01
11
01
11
10
00
01
00
10
00
00
11
00
00
00
00
10
11
00
11
00
00
10
00
00
10
00
00
10
11
01
00
00
01
11
01
00
10
01
11
00
01
10
10
11
11
00
00
00
10
00
10
10
00
01
00
00
10
10
01
00
11
01
01
01
01
00
10
10
10
11
11
00
01
10
10
01
00
00
01
10
10
01
00
00
00
10
10
11
10
00
11
01
00
00
11
10
00
00
10
00
00
10
10
00
00
11
00
11
10
01
01
01
00
10
00
01
00
10
01
00
00
01
00
11
10
00
00
10
10
01
10
00
10
10
10
00
11
01
11
00
00
10
00
10
01
00
11
10
01
01
00
01
01
00
10
01
01
11
11
11
11
00
00
10
10
01
11
00
00
10
01
10
11
11
10
01
00
00
00
11
11
10
00
01
00
00
00
10
11
11
00
01
00
00
11
11
00
10
11
00
00
00
10
11
10
01
00
01
11
10
01
00
10
10
00
01
00
00
10
00
10
01
00
10
00
10
11
01
11
11
01
00
10
10
00
01
11
10
10
00
00
00
10
00
11
11
01
10
00
00
00
10
11
00
10
11
00
01
11
01
00
11
10
10
11
00
00
11
11
00
00
10
10
00
00
00
10
00
00
00
11
11
00
00
00
00
01
00
01
00
10
00
10
10
11
01
10
10
00
11
11
00
01
00
00
10
00
01
11
10
00
11
01
11
11
00
11
00
00
01
10
00
10
00
00
10
11
10
11
11
00
01
00
10
10
10
00
10
01
01
10
10
00
10
00
01
10
10
11
10
00
11
10
00
01
00
00
00
00
11
00
00
11
00
10
00
10
10
01
10
01
00
10
00
00
00
00
10
00
11
11
11
10
10
01
11
00
00
00
00
00
10
10
00
00
00
10
10
01
10
11
10
00
01
00
00
11
10
00
00
00
10
00
10
00
00
00
00
10
10
10
00
10
10
10
11
00
11
11
00
10
11
10
01
11
11
00
00
10
10
10
00
00
10
00
00
01
00
01
01
10
10
10
10
10
11
00
00
00
00
10
10
00
00
10
11
00
00
01
10
00
01
00
00
01
00
10
00
01
00
10
10
00
10
00
00
11
01
11
00
01
01
11
01
00
10
10
11
00
00
11
10
11
00
00
10
00
00
10
00
01
11
01
00
10
11
00
11
10
01
00
10
10
10
10
00
10
00
01
01
10
00
00
00
11
10
10
10
00
01
00
10
01
10
10
00
01
00
11
11
11
11
10
10
00
01
11
10
01
10
10
01
10
00
11
11
01
01
10
11
00
10
00
00
01
10
01
10
10
00
11
10
01
11
10
00
00
00
10
01
10
00
11
10
01
00
11
10
00
00
10
11
10
10
00
00
00
11
11
00
11
00
10
10
00
10
00
00
10
01
00
10
11
00
11
10
11
01
10
11
00
00
10
10
01
10
01
01
00
10
00
00
10
00
00
10
10
00
00
11
00
11
10
00
10
10
11
00
00
10
10
00
00
11
10
11
01
00
10
00
11
11
00
00
11
10
00
00
11
10
01
00
00
10
00
10
00
10
10
10
00
10
10
11
11
00
10
10
10
01
01
00
10
01
10
01
10
01
00
10
10
10
01
00
10
10
00
11
10
10
01
10
10
10
01
00
10
10
00
01
00
00
00
10
00
00
11
10
00
00
10
01
00
10
11
10
00
11
10
00
11
10
00
11
00
01
01
10
10
10
00
11
10
00
10
00
01
10
10
01
01
11
01
10
00
00
01
11
10
00
00
10
01
11
10
10
11
01
11
10
01
00
00
10
10
00
00
00
10
10
01
00
10
11
01
00
00
11
10
11
00
00
11
00
10
00
10
10
11
11
01
00
11
01
00
00
00
00
10
10
00
11
11
00
10
00
11
00
10
10
01
00
01
11
00
00
11
10
11
00
10
10
11
10
01
00
10
01
00
10
01
10
11
00
00
10
00
01
01
01
11
10
10
01
10
01
00
10
11
01
00
10
10
01
11
11
00
10
11
00
01
11
00
10
10
00
00
00
10
11
11
00
10
00
11
10
10
00
00
01
10
10
10
11
10
10
01
10
01
10
10
10
00
00
00
00
10
10
00
10
10
00
10
10
10
11
10
10
00
01
01
01
11
10
11
00
00
10
01
00
00
10
11
00
00
10
00
00
10
10
10
11
00
10
00
00
01
11
10
11
11
00
10
11
00
01
00
10
10
11
11
00
00
10
00
11
01
11
00
11
00
00
11
10
11
00
01
10
00
00
11
10
00
11
00
00
10
10
01
01
10
10
11
10
11
00
10
00
11
11
00
01
01
10
00
10
01
01
10
11
10
10
11
10
01
00
00
10
10
00
00
00
00
10
10
01
01
10
11
01
11
00
11
10
00
10
10
00
00
10
10
10
10
11
00
00
01
00
10
10
10
11
10
01
00
00
10
00
01
00
10
10
10
11
01
11
01
10
01
10
10
10
00
00
11
10
01
00
00
00
01
11
01
00
10
11
11
10
01
10
10
10
10
00
11
10
01
11
01
01
10
00
00
01
10
00
00
10
10
01
00
10
00
10
00
01
10
00
11
11
10
00
00
00
10
00
01
11
10
00
01
11
10
10
01
00
00
00
01
10
11
10
00
00
10
11
10
00
11
10
00
00
00
10
10
10
10
01
01
01
01
10
10
01
00
00
11
00
10
10
10
10
10
11
00
00
10
01
10
01
10
11
00
01
01
00
11
00
10
10
00
00
01
11
00
00
11
10
00
10
00
10
10
01
00
10
10
01
11
00
10
11
00
01
01
00
00
10
10
01
00
10
10
10
10
00
00
01
11
10
11
10
00
01
10
11
11
10
10
11
00
11
10
00
01
10
10
01
10
10
10
11
01
00
00
10
10
00
00
10
01
10
10
00
10
10
11
10
00
01
10
01
00
10
00
01
01
10
01
10
10
00
11
01
01
10
11
10
10
01
10
00
10
10
00
10
11
01
01
11
11
01
00
10
00
11
11
00
01
10
10
10
00
10
00
00
10
11
00
00
00
10
10
00
10
10
10
01
00
00
00
10
00
01
10
10
00
10
10
01
10
00
01
10
01
10
01
00
10
01
00
10
10
01
00
00
11
00
10
00
01
00
11
10
10
00
10
10
00
01
10
10
00
10
10
10
10
00
10
10
00
00
10
01
11
00
11
10
01
00
10
01
00
00
01
11
11
11
00
11
10
00
01
00
01
00
11
10
11
01
00
10
11
00
10
01
00
10
00
11
10
00
01
00
00
01
11
10
00
10
10
00
00
00
10
10
00
10
10
11
10
10
01
00
01
11
10
00
01
11
11
10
01
00
10
00
11
10
00
11
10
00
00
00
00
00
00
10
00
01
10
00
00
10
00
00
01
00
10
00
00
01
10
10
00
10
10
00
10
00
01
00
11
00
00
01
00
01
11
00
00
10
10
00
10
10
00
10
10
11
00
10
01
10
10
10
00
00
00
00
11
10
10
00
00
10
01
11
10
00
00
11
00
00
00
10
10
10
11
10
10
01
01
01
10
10
10
00
10
11
01
01
01
10
11
00
10
10
00
11
01
01
10
10
00
01
10
00
11
11
00
10
10
00
10
10
01
01
10
01
11
01
10
10
00
10
11
00
00
11
10
00
10
01
00
00
00
10
01
00
10
11
11
11
01
00
10
00
10
00
11
01
01
00
10
01
01
10
11
11
01
00
10
11
10
11
01
00
00
11
11
11
00
10
11
00
00
10
00
10
11
11
00
00
10
00
01
00
10
00
01
00
10
10
11
00
11
00
10
00
11
11
01
00
10
00
11
00
00
11
10
11
10
11
11
00
01
11
00
00
01
10
01
10
11
00
00
01
01
11
00
10
11
00
00
01
11
10
01
01
11
10
10
00
00
11
10
01
00
10
10
10
11
00
00
10
10
00
11
10
10
10
11
00
10
00
00
10
10
01
10
10
10
00
00
01
00
00
10
11
10
00
00
10
10
10
00
01
10
10
11
10
00
00
10
11
01
01
00
00
00
11
01
00
11
00
11
10
10
10
11
01
00
01
11
00
10
00
00
10
10
00
01
11
11
11
00
10
10
11
10
10
00
10
10
10
01
10
10
00
11
00
11
01
10
11
10
00
00
10
10
10
00
00
00
01
10
00
11
01
00
11
10
01
00
01
11
11
11
01
00
11
00
00
00
00
10
10
10
00
10
01
00
11
11
11
10
10
11
10
00
01
10
11
00
10
00
00
01
01
11
10
00
10
00
11
10
11
00
01
11
01
11
00
10
10
11
01
00
10
10
00
10
11
00
11
01
01
11
10
10
11
00
11
10
01
11
10
10
01
01
01
01
10
10
00
01
11
00
11
11
00
00
10
00
00
10
10
11
10
00
11
11
10
00
10
00
10
01
00
11
10
01
10
00
00
11
10
00
01
00
10
00
11
11
00
10
00
00
00
00
10
11
00
01
10
11
10
10
10
00
11
00
11
10
00
10
10
00
10
10
00
10
01
01
10
00
00
10
00
00
10
10
00
11
10
01
10
11
10
10
11
10
01
00
10
10
10
00
10
10
00
00
01
10
01
00
10
10
00
00
10
11
10
00
00
00
00
01
00
11
00
00
10
00
01
10
01
01
01
10
01
00
10
00
11
10
01
00
10
00
00
01
10
11
00
10
11
10
01
10
10
10
11
10
10
10
00
11
11
11
00
01
11
00
01
10
10
00
11
11
10
00
00
01
00
00
01
10
10
10
11
10
10
00
10
10
00
11
00
00
00
01
01
10
01
00
11
11
01
11
10
01
01
01
11
00
10
01
01
10
00
00
10
11
10
00
01
10
10
01
00
10
10
10
10
01
11
00
00
11
00
00
10
01
01
00
10
00
00
01
00
10
10
00
11
10
00
01
00
11
11
00
10
00
00
00
01
11
11
01
00
10
00
11
11
01
01
10
00
10
00
00
00
10
10
00
00
10
10
11
01
00
11
10
10
01
11
00
10
00
00
10
10
10
01
11
00
10
11
10
00
01
00
01
11
00
10
00
00
11
11
00
00
01
11
10
10
01
10
10
00
10
11
01
10
00
10
10
00
00
10
01
00
10
01
10
00
00
11
01
00
11
00
00
10
00
10
00
11
11
11
01
01
01
11
10
00
01
01
10
10
01
00
01
10
00
10
00
01
11
00
01
11
11
10
11
00
01
11
10
10
11
10
00
11
10
00
00
00
00
00
10
11
00
00
10
00
10
11
00
00
00
00
00
01
11
11
11
10
10
10
11
00
00
10
10
00
00
00
10
00
10
11
00
10
10
00
10
10
10
00
00
00
00
10
00
01
01
00
10
00
00
00
10
10
01
00
11
01
10
10
01
10
01
10
10
00
00
10
10
10
00
11
10
10
10
00
00
00
00
10
10
10
01
10
10
00
00
10
10
10
01
00
01
10
11
10
11
01
11
00
00
10
10
00
00
10
01
11
11
00
01
00
11
11
00
00
00
10
01
10
10
00
00
00
11
00
10
10
00
00
00
00
01
10
01
11
01
10
10
10
10
10
01
10
10
00
00
00
01
10
00
11
10
10
00
10
10
10
01
00
11
10
00
00
01
00
00
10
10
10
10
11
00
10
01
00
11
00
11
11
10
10
10
10
00
01
00
01
00
11
00
01
10
00
00
10
10
00
11
11
00
01
10
00
10
10
00
00
00
10
10
10
10
00
10
01
10
10
00
10
00
10
00
00
10
01
11
00
01
11
10
11
11
01
00
00
00
10
11
00
11
10
01
11
01
10
11
01
01
10
10
10
10
00
00
10
01
00
10
10
10
00
01
10
00
00
10
11
00
10
11
00
01
11
10
00
11
01
10
00
00
11
10
00
11
00
10
00
11
10
00
00
10
11
10
11
00
11
11
01
01
01
00
01
00
00
10
10
01
00
11
10
10
01
10
10
01
00
10
00
10
00
10
00
00
00
00
11
01
01
01
10
01
10
10
01
01
11
11
01
00
10
11
00
11
01
10
10
10
11
00
10
11
00
01
10
00
00
01
10
00
00
10
10
10
01
10
10
01
00
11
00
10
01
11
10
10
00
00
11
01
10
00
01
11
11
11
10
11
11
01
01
00
10
10
10
10
00
00
10
11
10
00
10
11
00
01
01
11
01
11
11
00
01
11
10
01
01
11
10
10
00
00
10
10
01
11
00
10
10
10
00
00
10
10
01
10
00
00
10
11
01
11
01
10
00
10
10
00
00
10
10
01
11
01
01
00
10
01
00
00
00
10
11
11
10
10
00
00
00
11
01
00
10
10
11
00
10
10
10
00
01
11
10
10
10
10
01
01
11
00
11
11
00
11
11
00
00
10
00
00
10
10
00
10
00
11
10
00
10
00
10
00
00
11
01
01
00
10
00
11
01
10
11
00
00
10
10
00
00
10
10
00
01
11
10
10
11
00
00
01
10
01
00
00
11
00
01
10
10
10
00
00
01
01
10
00
11
11
00
10
00
00
10
10
00
11
10
00
01
10
11
10
11
01
10
11
00
11
10
11
01
00
10
10
01
00
01
11
10
10
00
00
11
11
00
00
00
01
10
01
00
00
01
10
10
00
01
11
01
10
10
10
10
00
00
10
10
01
00
00
11
00
11
00
00
10
01
10
00
11
10
00
11
10
10
01
10
10
11
10
01
00
00
10
11
01
10
11
00
00
10
01
10
00
00
11
11
11
00
01
10
10
11
00
00
11
10
01
01
10
10
01
00
00
00
10
00
00
00
10
01
01
01
00
00
10
10
10
10
00
00
00
00
00
00
10
10
10
00
10
10
10
11
01
00
11
11
10
10
00
10
11
00
00
10
10
10
01
10
10
10
01
01
01
11
00
00
10
10
11
00
01
10
11
00
00
00
00
10
11
01
00
11
10
11
10
10
00
01
10
00
00
10
01
00
10
00
01
00
11
00
00
00
00
10
10
01
00
10
11
10
11
01
01
00
11
00
01
00
00
00
11
10
01
00
10
11
10
10
01
10
00
10
00
00
00
10
10
11
00
00
10
10
00
11
11
00
10
10
00
00
00
10
10
10
00
10
10
11
00
00
11
10
00
00
00
10
10
00
01
11
10
10
00
01
10
11
00
00
10
11
11
10
10
01
10
10
01
00
00
10
00
11
00
00
00
01
10
10
11
11
10
00
10
00
11
10
00
10
10
01
10
10
01
00
10
00
00
10
11
00
00
01
00
10
11
10
10
00
00
00
01
01
00
11
00
10
01
00
11
10
11
00
00
10
00
10
11
11
01
11
11
01
00
10
00
00
10
00
00
11
00
11
11
11
00
11
01
10
01
00
11
11
00
01
10
00
01
10
01
01
00
11
10
00
01
00
10
01
10
10
11
10
00
10
11
00
00
10
00
00
10
11
01
01
00
10
11
00
00
11
10
10
10
10
00
00
00
00
00
01
10
11
01
01
10
11
10
11
10
01
01
10
01
01
10
00
11
10
10
00
10
00
10
11
00
10
10
00
11
00
00
11
01
01
11
00
01
11
10
00
00
10
10
00
10
00
00
10
00
00
11
00
11
11
00
10
00
01
00
00
10
10
00
00
00
10
00
00
00
10
10
00
10
11
11
10
10
10
01
00
11
01
00
10
01
10
01
01
11
00
01
10
10
00
10
11
10
10
01
00
00
01
10
00
00
00
00
10
00
10
01
00
10
11
10
11
10
10
00
10
10
01
01
11
11
01
10
11
00
11
10
00
00
10
00
00
11
10
10
00
00
10
10
00
11
10
00
10
01
00
00
11
01
00
11
10
01
10
10
00
00
11
10
10
10
00
10
01
00
10
01
01
11
01
00
01
11
11
01
10
11
00
01
01
00
10
11
10
01
10
10
10
10
01
00
00
00
10
10
10
01
11
11
00
10
10
10
10
00
00
10
10
01
11
01
00
00
11
01
00
11
11
11
00
10
00
00
01
11
11
00
11
10
00
01
10
10
00
00
00
11
00
00
11
10
10
11
10
10
01
00
10
00
01
11
00
01
00
11
10
10
01
00
11
00
01
11
00
01
11
00
00
10
10
00
00
11
10
10
10
10
00
00
11
00
00
10
01
10
00
00
00
11
10
01
10
11
00
10
10
00
00
10
00
01
10
00
00
10
10
11
00
01
11
11
01
10
01
00
10
11
00
01
11
01
10
00
10
10
01
00
00
11
00
01
00
10
10
00
00
01
10
11
11
01
00
00
01
00
10
10
11
01
01
10
10
10
10
00
00
00
00
10
01
00
01
10
00
00
11
10
11
10
11
00
10
10
10
01
11
00
01
10
00
10
00
00
01
11
00
10
10
10
10
00
10
00
00
11
10
01
11
11
01
11
00
00
10
10
00
01
10
11
10
10
10
01
00
01
10
10
10
00
00
01
01
11
00
01
10
10
11
00
11
10
01
11
11
11
10
10
00
00
11
00
01
10
00
00
01
00
01
10
10
10
10
10
10
00
11
01
00
10
00
11
01
10
10
10
10
00
00
00
11
10
01
00
01
00
00
01
11
01
10
10
00
10
01
00
10
10
00
00
01
00
10
10
00
00
00
10
11
10
01
10
11
10
10
01
01
10
10
00
00
10
10
00
10
10
00
00
00
01
00
00
00
11
00
01
00
11
01
00
01
01
11
10
11
11
00
00
01
00
11
11
00
11
11
10
10
10
00
10
01
00
00
11
11
00
00
00
01
00
10
01
11
11
10
00
11
01
10
00
10
11
10
00
00
11
01
01
00
10
10
00
00
10
10
01
10
01
10
00
00
01
11
01
00
10
10
01
01
01
11
00
00
10
00
10
00
00
00
00
10
01
10
01
00
00
00
01
01
00
11
10
10
10
10
01
01
10
10
11
00
00
10
11
01
01
00
10
10
11
10
00
10
10
10
10
00
00
10
01
00
01
00
11
10
10
11
10
00
01
00
10
10
11
01
01
00
01
10
01
10
00
10
10
10
01
11
10
00
01
10
10
10
00
01
11
00
11
10
11
00
10
10
00
01
10
11
01
00
11
11
00
10
00
01
00
01
10
11
00
01
01
01
10
11
10
00
00
10
11
00
10
10
11
10
00
11
00
00
01
00
00
00
11
11
10
10
00
00
00
00
10
11
00
10
10
10
00
00
00
00
10
10
01
11
10
11
01
00
10
00
00
10
11
10
00
00
00
10
00
01
01
00
00
11
10
11
11
10
00
10
11
10
10
00
01
00
11
10
00
00
10
10
00
10
10
00
01
10
00
10
10
00
01
00
11
00
10
11
01
01
10
00
10
10
10
10
01
10
00
10
10
11
00
01
10
00
00
11
00
01
10
10
10
00
11
00
00
01
01
10
01
10
00
00
10
11
00
11
01
00
00
11
10
00
11
10
11
00
10
00
01
10
00
10
11
10
00
10
01
10
00
01
10
01
11
11
10
00
00
10
00
00
00
10
10
00
00
10
01
00
01
01
01
10
10
00
01
10
10
01
10
10
01
01
01
00
00
00
10
10
00
10
11
01
01
01
10
10
01
00
10
10
00
00
01
10
00
10
10
00
00
11
10
00
00
10
11
00
00
01
01
10
00
00
11
10
11
01
00
10
11
10
01
10
11
00
00
00
01
11
11
11
00
10
10
10
00
00
00
10
10
11
01
10
10
00
01
10
10
01
00
10
11
10
10
00
00
00
01
10
11
00
10
00
01
10
10
01
00
01
11
00
10
10
10
00
10
10
10
00
01
10
10
00
01
00
00
10
10
10
10
00
01
00
11
10
10
10
00
01
00
10
10
00
10
01
11
10
10
10
00
10
00
00
00
01
11
00
00
00
00
11
00
11
10
11
10
01
10
00
10
00
10
01
11
10
10
10
10
10
11
01
01
00
00
10
00
00
00
11
10
00
01
10
11
10
00
10
10
00
00
10
11
10
10
00
10
10
11
10
00
10
10
11
10
01
01
10
10
00
00
01
10
11
11
10
11
10
00
00
00
10
00
10
10
00
10
10
00
00
00
10
11
10
10
11
11
11
01
00
00
00
00
01
00
00
10
10
10
00
10
00
10
10
10
10
10
00
10
00
10
10
00
11
00
00
00
00
11
11
11
00
11
10
11
00
11
00
00
01
10
11
00
00
11
00
00
00
00
10
11
00
01
10
01
01
11
10
00
11
11
01
10
00
00
11
11
00
00
10
10
00
10
10
01
01
00
11
11
01
11
00
00
10
11
00
00
01
11
10
00
00
01
00
00
11
10
01
10
10
00
10
01
00
10
11
10
01
10
00
11
10
11
11
00
00
10
11
11
10
00
00
00
10
10
00
00
00
00
00
11
10
10
01
01
11
10
11
11
10
00
01
11
10
11
01
00
00
00
10
11
00
01
00
01
10
11
10
11
00
01
11
10
01
01
11
10
00
00
00
11
11
11
00
00
10
10
10
10
00
00
10
11
10
01
01
11
11
00
00
10
10
11
01
11
10
11
00
00
01
11
10
00
00
11
01
01
00
11
10
00
01
00
10
00
00
10
00
10
10
01
00
00
10
10
10
00
00
10
01
10
11
00
00
00
01
00
01
10
10
10
10
10
10
00
01
00
10
00
11
10
00
00
10
11
10
10
00
01
10
00
10
00
10
10
00
11
00
00
11
00
01
01
00
11
10
01
10
01
11
10
10
00
01
00
10
10
01
00
10
00
10
00
10
10
00
00
00
10
10
01
11
11
00
10
10
00
00
10
00
01
11
00
10
00
10
01
01
11
01
10
00
10
11
10
10
00
00
01
10
11
01
00
10
10
01
11
10
00
11
10
00
01
00
00
00
00
11
00
00
11
10
00
11
11
01
00
00
01
00
11
10
10
10
10
00
11
00
00
00
11
10
10
10
01
11
10
11
10
00
00
00
10
00
00
10
01
00
10
00
10
00
10
10
10
10
01
00
00
10
01
10
01
11
11
00
01
00
10
10
00
10
10
11
00
00
10
10
01
01
00
11
00
01
00
10
11
00
10
10
10
00
00
10
10
01
01
00
10
00
00
10
10
10
01
00
10
11
11
10
11
01
01
00
10
10
10
10
10
10
01
00
10
00
11
00
00
01
10
01
10
01
00
01
11
11
01
00
01
10
10
00
01
10
10
01
10
11
00
00
11
10
00
11
11
01
00
01
11
01
10
00
01
10
10
00
00
11
00
00
11
00
01
00
11
00
11
10
10
01
00
10
11
01
00
01
00
11
11
00
01
00
01
11
10
11
11
00
00
11
11
00
01
10
11
00
00
00
10
10
00
01
10
00
10
00
11
00
01
11
11
00
00
10
10
01
00
11
10
00
00
00
10
00
00
10
00
00
10
00
11
11
00
01
01
00
00
10
01
01
11
10
00
00
00
10
10
11
10
01
10
10
10
01
00
10
10
00
00
10
01
00
10
10
10
10
00
10
00
00
10
01
00
10
11
10
01
10
00
01
10
10
10
01
01
00
01
00
10
11
00
10
10
00
00
00
10
01
11
00
10
11
00
01
10
10
00
00
01
01
11
10
10
00
00
11
11
00
01
00
11
10
10
01
00
10
10
10
00
10
11
00
00
11
01
11
01
01
10
01
11
11
01
01
10
00
10
10
00
10
10
01
00
10
10
00
10
01
00
10
10
00
10
11
00
11
10
01
00
10
00
01
11
11
00
01
10
11
11
01
11
10
00
00
10
00
10
00
00
10
00
10
00
10
00
11
10
01
00
00
10
11
00
01
00
10
10
00
11
00
11
00
10
11
10
10
10
10
11
10
01
01
00
01
10
01
11
11
00
01
10
10
10
11
11
01
00
00
10
10
01
01
10
00
10
10
10
10
00
10
00
00
01
10
01
01
10
11
00
00
10
10
01
00
00
10
11
11
01
00
11
01
10
00
11
10
11
00
00
10
01
00
01
00
00
00
11
10
10
00
11
00
00
10
00
10
00
01
10
01
10
10
00
10
00
11
00
01
01
01
10
00
00
10
11
11
01
00
00
01
10
10
00
00
11
10
00
11
10
10
10
00
10
01
01
00
00
10
10
00
00
11
10
10
10
10
10
10
10
00
00
00
10
10
00
00
00
10
00
01
10
11
10
01
00
10
11
10
10
00
01
10
00
10
10
01
00
00
01
00
10
01
11
10
11
10
10
00
01
10
11
00
00
10
01
01
00
00
11
11
01
00
10
00
00
10
00
00
11
00
00
11
11
11
01
00
10
00
00
10
00
00
10
10
10
01
11
00
00
10
10
00
10
10
00
01
11
10
10
10
00
01
00
00
10
11
10
10
00
01
10
10
10
00
11
10
01
11
11
10
00
10
00
10
00
00
10
10
11
10
10
00
11
11
11
01
00
00
00
00
10
10
00
01
00
10
10
01
11
01
01
11
01
01
00
11
11
00
00
11
10
01
01
11
00
11
00
11
10
00
10
11
00
00
00
01
01
00
10
01
11
10
10
00
10
00
10
01
00
10
11
00
11
00
00
11
10
01
11
11
00
00
10
10
10
00
11
10
11
01
10
11
00
00
00
01
00
10
00
10
00
10
11
11
01
11
00
11
00
11
10
01
00
00
00
10
10
01
10
10
01
00
10
10
10
00
10
10
00
10
10
01
11
10
01
10
10
00
00
11
00
00
10
01
11
10
01
10
11
10
10
10
10
10
00
00
10
11
10
11
11
00
00
00
10
10
00
00
11
00
11
11
00
10
11
10
00
10
11
10
10
01
00
00
00
01
11
10
10
00
10
00
00
10
00
01
10
01
00
00
10
11
10
10
00
01
11
10
10
00
00
00
01
10
10
10
10
10
10
00
10
10
01
11
00
11
01
00
11
00
10
01
00
00
11
10
00
00
11
00
01
10
10
10
10
01
01
10
11
11
00
10
10
10
01
10
10
00
10
01
10
01
10
11
01
11
10
11
10
00
10
10
00
00
10
11
00
00
01
01
11
10
10
10
10
00
10
00
00
01
10
11
11
11
10
11
00
10
10
00
00
00
00
00
01
00
00
10
00
11
10
01
00
11
10
00
10
10
00
01
01
10
01
00
01
10
10
10
11
00
01
00
11
01
00
10
01
00
11
11
00
00
10
01
00
11
10
01
10
10
11
00
10
10
00
00
10
10
10
10
01
00
11
00
00
00
10
10
01
10
10
01
00
10
00
00
11
10
00
10
00
10
00
10
00
10
00
10
10
00
11
11
10
11
00
00
10
10
00
00
00
11
00
00
10
01
10
00
11
10
10
00
01
11
11
00
00
00
01
10
00
10
10
10
01
00
01
10
11
10
11
00
00
10
11
10
01
01
11
00
11
10
10
00
01
00
11
00
10
00
01
00
10
11
00
11
10
10
00
10
10
00
10
11
11
11
10
01
00
10
11
01
00
00
00
10
00
01
10
10
00
00
10
10
10
00
00
00
10
01
00
11
00
10
10
01
10
11
10
01
00
11
00
10
01
01
11
11
11
00
10
00
00
00
10
10
00
00
11
00
10
01
10
00
01
00
00
00
10
00
10
11
11
10
00
00
00
00
11
10
01
00
11
10
10
00
10
10
01
01
10
00
01
00
11
01
01
11
01
11
10
00
00
10
10
01
01
10
01
00
00
10
00
00
10
00
01
01
00
00
10
10
00
10
10
11
00
00
10
01
00
11
11
00
00
10
10
11
00
00
10
10
11
10
00
01
10
01
00
11
00
00
10
10
00
00
01
11
00
10
11
10
00
11
10
00
10
00
01
11
10
11
00
00
10
00
00
10
10
01
10
00
00
10
01
11
11
11
01
01
10
10
00
10
10
00
00
11
00
00
00
10
01
11
01
00
10
10
00
10
10
00
01
10
01
10
11
01
10
10
01
11
00
10
10
10
01
10
10
00
10
10
00
01
10
01
10
10
11
11
00
11
11
00
00
01
01
10
10
00
11
10
10
01
00
00
11
00
10
01
11
11
00
10
00
11
10
00
00
10
10
11
10
01
00
00
10
10
00
00
00
11
01
00
10
00
10
00
00
10
00
10
00
00
01
00
11
11
01
00
01
11
00
11
00
10
10
10
00
11
10
00
01
01
01
00
01
11
01
00
01
10
11
01
00
01
11
10
00
11
00
01
00
11
10
10
00
11
01
00
11
10
00
00
11
11
01
01
10
10
01
00
11
01
10
10
10
10
10
00
00
10
01
11
10
10
10
01
11
11
01
01
00
00
01
10
01
01
10
11
00
00
11
11
01
11
10
00
10
10
00
00
11
10
10
01
01
00
11
11
00
11
00
00
10
10
01
00
00
10
10
11
10
11
00
00
00
10
10
00
10
00
00
10
11
01
11
00
00
00
10
01
00
01
10
10
10
10
00
01
10
11
01
00
10
10
01
10
01
00
11
11
01
10
00
11
11
00
01
00
01
00
11
00
00
11
10
11
01
10
11
10
11
11
00
00
00
10
11
00
10
00
01
01
10
11
10
10
00
00
11
00
00
10
10
10
00
00
10
00
01
10
10
00
11
00
01
01
10
11
10
10
01
00
11
10
10
01
00
01
00
01
10
10
10
01
01
11
00
10
00
00
00
00
01
10
11
10
00
11
11
10
01
00
01
11
11
00
11
10
00
00
10
11
01
00
10
01
01
10
01
00
00
01
10
00
01
00
10
10
10
00
10
00
10
00
10
10
01
00
11
00
00
10
10
01
01
10
00
10
10
10
00
00
10
00
01
10
00
00
10
10
10
01
10
00
00
10
01
00
10
10
11
00
10
10
00
00
11
10
00
01
01
01
10
10
10
01
00
10
01
00
00
11
11
01
00
11
10
00
00
00
10
00
00
10
11
00
10
00
00
11
10
00
10
00
01
01
00
11
11
10
00
10
10
00
11
11
00
01
10
11
10
00
00
10
10
11
00
01
11
00
11
11
00
01
10
00
11
01
00
00
11
00
01
00
00
10
00
10
10
00
01
00
10
10
10
01
00
10
10
00
10
00
11
00
01
01
10
00
10
11
00
11
11
10
01
00
00
10
10
01
01
11
00
11
10
00
01
10
11
10
10
01
10
01
00
00
10
11
11
11
00
10
11
00
00
10
00
00
10
10
00
00
10
00
10
10
00
00
00
10
10
00
00
11
00
10
11
10
10
01
10
00
00
01
01
00
10
11
11
10
11
10
11
00
00
00
00
10
00
01
10
11
00
00
01
00
11
00
00
10
10
00
10
10
00
10
10
00
10
00
11
01
10
10
00
00
10
11
00
00
00
10
00
01
01
00
11
01
01
00
11
10
10
10
01
00
10
10
01
11
00
10
10
00
10
11
01
00
10
01
01
11
10
10
00
10
10
01
01
01
11
01
01
11
00
01
11
11
01
00
11
10
00
00
11
10
00
10
10
00
10
01
01
10
10
00
10
11
01
01
00
10
00
00
10
10
00
00
00
11
11
10
10
10
10
01
10
10
11
01
10
00
11
01
11
01
00
10
10
00
00
10
10
00
10
10
11
00
00
11
11
00
10
01
00
00
11
01
11
00
00
11
10
11
01
10
11
11
00
11
01
01
00
10
10
00
11
10
10
00
10
01
10
00
00
00
10
10
01
10
10
00
00
10
11
10
00
10
11
00
00
11
10
10
10
11
00
10
00
10
00
00
01
01
10
10
10
00
10
10
10
10
00
10
11
00
11
11
00
01
10
10
01
00
10
10
00
00
00
01
00
10
00
11
00
11
11
10
10
10
11
10
10
00
00
00
11
00
10
01
01
00
10
11
10
00
00
01
10
01
00
11
00
11
00
00
00
00
10
00
01
10
10
01
11
00
10
00
10
00
10
10
01
10
00
00
11
00
01
00
00
00
00
01
11
01
00
00
11
10
11
10
00
00
10
11
00
00
11
10
10
10
00
00
11
01
10
10
00
01
00
10
10
00
00
10
00
00
00
10
00
01
10
00
10
00
00
01
10
01
10
00
01
10
00
01
10
10
01
11
10
01
01
11
00
00
01
00
11
00
01
10
00
10
10
11
10
00
10
00
11
01
11
10
00
00
10
01
01
10
01
01
00
01
00
10
10
01
10
11
01
11
00
10
10
00
01
10
11
00
00
11
10
10
10
01
01
00
01
11
10
10
01
10
11
00
01
01
01
00
10
10
00
01
10
10
00
11
00
00
10
00
00
01
11
11
11
00
11
10
00
00
00
11
11
00
11
01
01
01
11
01
00
10
11
10
01
11
10
00
01
00
11
10
00
01
00
10
10
00
00
10
01
00
10
10
01
10
10
10
00
10
10
00
11
01
00
00
10
11
00
11
10
00
00
10
01
11
00
01
01
11
11
10
00
10
01
00
10
00
10
10
11
00
00
10
01
00
00
10
10
10
00
00
10
10
10
10
11
10
10
00
10
11
00
00
00
01
11
10
10
00
00
11
01
00
10
11
00
00
10
10
10
00
10
10
00
00
11
10
00
00
10
10
00
00
11
00
10
00
00
10
01
10
01
00
01
00
11
00
00
10
10
01
01
10
01
10
11
00
10
11
10
10
11
00
00
00
11
01
11
10
10
10
00
00
10
01
01
01
10
10
00
10
10
10
11
00
10
10
10
11
00
10
00
00
00
00
10
11
10
00
00
01
10
10
00
00
00
10
10
10
00
10
10
11
00
01
11
11
10
10
00
00
10
00
10
00
01
10
10
10
10
00
00
00
10
10
10
10
00
10
00
00
10
10
01
01
10
10
00
10
10
11
01
00
01
00
01
01
11
10
11
10
10
01
00
10
10
00
00
00
00
10
11
01
01
11
11
01
10
10
00
00
00
01
10
10
00
11
10
10
00
10
01
10
10
00
11
10
11
11
01
10
10
01
00
10
11
00
10
01
10
10
01
00
11
00
01
11
10
00
10
00
00
00
10
10
11
11
00
00
00
11
11
01
00
10
10
01
10
00
00
10
01
10
11
01
00
11
10
11
10
00
01
10
10
00
10
10
00
00
00
10
00
00
10
10
00
11
10
10
10
01
10
10
11
00
10
00
10
11
00
00
11
00
01
01
10
10
00
00
10
10
10
11
01
10
00
10
10
10
10
00
10
01
00
10
00
10
00
10
10
11
10
00
11
11
00
00
10
10
00
00
10
00
00
10
10
00
11
11
01
01
00
00
01
01
01
11
10
01
10
10
00
00
10
00
10
10
01
10
11
11
10
00
11
00
00
10
01
10
01
11
10
01
11
00
00
10
00
01
10
11
10
01
01
01
00
10
00
00
00
10
10
00
10
00
00
00
11
00
11
11
01
00
00
01
11
10
00
01
00
00
10
11
01
00
11
10
10
00
00
11
10
11
10
00
00
10
10
00
01
10
11
11
00
00
00
10
10
11
00
00
11
11
01
00
10
00
11
01
11
11
00
00
10
11
11
10
01
00
01
00
01
11
10
10
00
10
00
00
11
10
00
00
11
01
10
00
11
10
00
00
00
10
10
01
00
00
11
01
10
00
11
11
10
10
00
10
10
00
11
10
10
01
10
01
11
10
00
00
01
10
10
00
00
00
10
00
00
00
01
11
00
00
10
11
11
11
10
00
00
00
10
00
01
10
00
10
10
00
10
10
00
11
00
00
10
01
01
10
10
10
01
00
10
10
01
00
00
00
10
10
00
11
00
00
01
10
10
10
11
01
11
00
01
10
11
11
00
00
10
10
01
00
10
00
00
00
00
00
11
00
01
11
01
01
10
11
01
00
10
00
11
10
10
10
00
10
11
11
01
01
01
01
00
00
01
10
11
01
11
10
00
00
10
10
00
10
10
10
10
11
01
01
10
00
01
11
10
01
10
11
00
11
10
00
00
10
11
00
11
10
10
10
10
01
00
10
10
10
10
00
01
10
10
10
00
01
10
11
00
11
10
10
10
01
10
11
00
00
11
10
10
00
10
10
10
10
00
00
00
10
10
00
01
10
00
00
11
11
01
10
00
00
10
00
00
00
11
11
00
01
10
10
01
01
10
11
10
01
10
10
01
00
11
00
11
10
00
00
10
10
00
10
00
10
11
10
01
11
00
10
00
00
10
10
11
11
00
01
11
00
01
01
00
11
10
01
10
01
01
00
10
10
10
00
10
00
11
11
00
00
00
10
00
00
00
10
11
10
11
00
10
10
00
00
00
01
10
11
11
10
00
01
00
10
00
00
10
00
01
01
10
10
01
11
11
11
00
01
10
10
10
00
00
11
10
10
01
00
10
11
00
00
10
11
10
10
00
10
00
11
10
10
11
01
10
11
10
00
00
01
00
10
10
01
00
01
00
11
10
10
11
00
11
01
01
01
11
10
11
01
01
11
00
00
10
11
00
01
00
10
01
00
00
00
10
10
10
00
00
11
00
00
11
10
10
00
11
01
11
11
00
10
10
00
11
00
00
11
00
00
00
11
01
00
10
10
11
10
00
00
01
00
01
10
10
00
01
11
10
01
10
11
11
10
00
00
10
01
01
00
11
10
00
10
00
10
10
11
00
00
01
10
11
00
00
01
00
10
10
00
00
00
10
10
00
11
11
10
11
00
10
00
00
11
10
11
00
00
01
11
10
00
00
00
10
10
10
00
10
10
01
01
01
10
10
11
00
11
10
11
10
01
00
10
00
10
00
00
00
10
11
01
10
10
10
10
10
10
00
00
01
10
10
00
00
00
11
00
00
10
01
01
10
10
10
10
10
00
01
10
11
01
10
01
11
11
10
10
00
00
00
11
10
10
10
10
00
00
10
10
01
11
00
01
10
10
00
10
10
00
10
11
10
11
00
01
10
10
01
10
11
01
01
10
00
10
11
01
11
11
01
01
00
10
10
00
00
11
10
00
00
10
00
10
11
11
10
10
00
00
00
10
11
10
10
00
10
11
10
00
00
00
00
10
10
10
00
00
10
11
10
01
00
10
10
00
11
01
10
00
01
01
11
00
00
10
10
01
00
01
10
00
00
01
10
00
00
10
01
00
11
00
10
00
00
00
00
10
11
10
00
10
10
01
11
00
00
00
10
00
10
10
00
10
10
11
11
00
11
00
01
11
01
00
01
10
10
00
01
10
01
01
10
10
11
11
00
10
10
00
00
01
01
01
00
10
10
01
01
11
10
10
11
10
11
00
01
11
00
01
11
10
00
00
11
01
00
10
00
10
10
10
11
00
00
10
10
11
00
10
01
00
00
00
10
10
00
11
00
11
11
10
01
00
10
00
00
10
00
00
11
00
10
10
11
10
11
11
10
10
00
01
10
11
11
00
01
10
10
00
10
11
01
11
11
00
00
10
00
10
00
01
01
01
01
00
00
10
10
11
10
10
00
01
10
00
11
00
10
10
11
01
01
10
11
10
10
01
10
00
01
01
10
10
01
10
00
00
00
11
10
00
11
10
01
10
10
01
11
10
10
11
00
01
10
00
10
10
10
11
10
01
00
11
00
10
00
01
10
10
00
00
10
11
01
00
01
11
00
10
01
10
00
10
11
00
00
10
10
00
10
10
00
00
00
10
00
00
10
11
10
00
00
11
10
00
00
11
10
01
11
00
10
11
10
01
10
11
11
01
10
00
00
01
10
01
00
11
10
00
00
10
01
10
00
11
10
10
00
11
10
01
00
00
00
11
11
11
01
01
11
10
00
00
10
10
00
00
11
11
01
00
10
01
10
01
00
00
10
10
00
10
00
00
10
10
00
00
00
01
00
00
11
11
01
10
01
10
00
11
01
00
10
00
00
00
00
10
10
11
10
00
00
10
10
10
11
00
01
11
11
01
01
10
00
00
10
00
00
10
10
00
00
01
10
11
10
00
01
00
10
11
10
00
10
00
00
01
11
00
10
11
11
10
00
11
10
00
00
01
10
10
00
00
11
10
10
10
00
01
00
10
10
10
00
00
11
10
00
11
01
00
00
11
00
10
11
10
00
00
10
11
01
01
10
00
01
01
10
00
01
10
10
10
00
10
01
10
10
10
11
11
01
01
01
10
10
00
00
00
10
10
01
00
10
11
11
00
00
01
10
00
00
11
10
01
11
00
10
10
00
00
10
11
10
01
00
00
11
00
00
00
11
10
10
10
00
00
10
10
00
01
11
00
10
10
00
00
00
10
11
00
11
10
01
10
11
00
10
00
00
00
01
10
10
00
00
00
10
00
01
10
10
11
01
10
11
01
00
00
10
11
11
11
11
00
11
10
00
01
00
10
11
10
00
10
00
00
01
10
10
10
00
00
00
01
10
01
00
00
00
00
11
11
11
00
10
10
11
01
00
11
10
10
11
10
00
00
10
11
10
00
00
01
10
00
10
11
10
00
10
11
11
01
11
01
01
10
11
00
10
10
00
00
00
00
10
00
00
01
10
10
00
10
00
01
10
01
00
10
10
10
00
10
00
01
00
10
11
10
00
00
10
11
01
00
11
10
10
00
10
11
00
01
11
00
00
11
00
11
10
00
10
10
00
00
10
11
00
10
11
10
10
00
01
11
10
00
01
00
00
10
01
00
00
00
10
10
11
11
01
11
01
11
01
00
10
00
01
10
11
00
00
10
10
11
00
10
10
11
00
00
01
10
01
01
10
10
01
01
00
11
00
10
11
01
10
00
10
10
10
10
00
00
01
11
00
01
00
00
10
10
00
10
11
01
00
01
10
11
00
00
00
10
10
00
10
10
01
00
11
10
11
10
00
01
11
00
00
10
01
00
00
11
10
00
10
11
01
00
10
01
00
11
10
00
01
10
10
01
00
10
00
01
10
10
10
10
10
11
00
11
10
10
01
11
00
00
00
10
00
00
11
10
00
00
10
10
10
01
00
01
11
10
00
00
10
11
10
00
01
00
00
00
00
01
00
11
10
10
10
10
01
00
00
11
10
10
00
10
00
10
10
01
11
00
00
10
01
10
10
01
10
00
00
11
10
00
11
01
01
10
01
10
10
00
01
10
10
01
00
10
11
00
10
11
01
10
11
00
00
00
10
10
00
10
01
00
00
00
00
00
10
11
10
00
11
10
00
10
10
01
01
10
10
11
10
00
10
10
00
10
00
00
00
11
00
10
00
11
01
10
11
10
01
11
00
01
00
10
01
10
11
00
00
10
11
00
00
01
11
00
00
10
00
10
10
11
00
10
10
00
00
00
10
11
01
00
00
01
10
10
00
00
10
10
01
10
01
00
10
00
00
10
01
10
11
10
00
10
00
00
10
10
00
00
10
00
10
11
11
10
00
11
00
00
00
10
01
10
10
01
10
11
00
00
11
11
11
01
10
00
00
10
11
10
01
10
00
01
10
00
10
11
01
00
11
11
00
10
00
00
11
10
01
01
00
01
10
11
00
00
10
10
10
01
01
11
00
00
00
10
01
00
10
11
01
11
11
00
01
10
11
00
10
10
10
00
01
10
00
11
10
10
10
01
00
10
11
01
10
00
00
11
11
00
11
10
10
11
00
01
10
10
01
00
10
00
10
10
00
01
11
01
00
10
00
10
11
00
00
10
10
10
00
10
10
10
00
00
00
00
01
01
11
00
00
00
10
11
00
11
00
01
00
00
10
00
11
00
11
10
00
00
00
00
10
00
01
10
10
11
11
01
11
01
00
00
11
10
11
00
10
10
10
00
01
10
10
01
10
00
01
01
00
01
10
00
00
00
10
10
01
00
00
10
01
00
00
00
10
10
00
00
01
00
00
11
10
10
10
11
00
10
10
00
00
00
11
00
01
01
10
10
00
10
00
10
11
10
00
11
10
10
11
01
11
00
00
01
11
11
11
10
10
00
00
11
01
00
01
10
11
10
00
00
11
11
11
10
00
00
00
01
10
11
01
10
10
00
01
01
00
10
10
00
01
10
10
10
00
01
11
00
00
10
10
00
10
10
00
01
11
00
11
00
00
10
11
00
00
00
10
01
00
10
10
00
00
11
00
11
00
00
10
01
01
11
00
10
01
00
10
00
10
10
00
00
10
01
10
10
10
10
00
00
00
10
01
11
00
10
10
10
10
00
00
00
01
00
10
10
10
10
11
10
10
00
11
00
01
00
10
00
00
00
01
10
10
10
00
10
00
10
10
10
00
10
00
01
11
00
00
00
11
01
01
10
00
00
00
10
00
11
10
11
00
00
10
10
00
10
01
11
01
10
00
01
11
10
00
10
10
11
01
00
11
01
01
10
01
00
11
10
11
00
01
10
10
11
00
10
10
00
00
00
00
11
10
01
00
00
00
00
10
00
10
10
11
00
11
11
00
01
10
00
01
10
11
00
10
01
00
00
00
10
00
10
10
10
01
00
11
00
00
10
01
11
10
01
10
10
00
00
00
00
00
10
10
00
10
01
00
10
10
10
00
00
00
11
00
00
11
10
11
11
00
00
11
10
00
01
10
10
00
01
00
01
10
00
11
11
00
01
00
10
01
10
11
00
11
10
11
00
01
10
11
00
00
10
10
00
01
00
11
00
11
00
10
10
10
00
10
00
01
01
11
10
11
00
10
10
00
01
10
01
00
11
00
00
10
10
01
00
01
00
00
11
01
01
00
10
11
10
10
00
10
10
00
10
00
10
10
10
00
10
00
00
10
01
10
01
11
01
11
11
10
11
00
00
11
10
00
01
11
01
01
11
10
00
00
10
11
01
00
10
10
10
10
10
00
00
11
10
10
10
11
01
10
10
11
00
00
10
01
10
10
11
00
00
10
10
00
11
00
00
01
10
10
11
11
01
10
10
00
11
10
00
00
10
10
00
00
10
00
01
00
10
01
00
01
10
00
00
00
10
10
11
01
10
11
01
00
11
00
11
00
01
11
10
00
00
00
11
10
10
00
11
00
10
01
00
11
10
00
10
01
10
00
00
10
01
00
10
10
10
00
00
10
11
10
00
10
00
10
00
01
10
10
10
11
00
10
00
10
01
01
10
10
11
01
00
00
11
11
10
00
10
00
00
01
00
10
10
11
01
10
10
11
10
11
00
01
01
01
11
00
00
10
11
10
00
00
11
10
11
10
11
00
11
11
00
10
01
11
11
10
00
10
10
11
00
00
10
10
10
00
11
00
00
10
10
00
01
01
10
10
10
10
01
11
01
00
10
00
10
00
10
00
00
11
00
11
00
01
00
10
10
00
11
11
10
11
11
01
01
11
10
00
00
10
11
00
00
10
00
10
10
11
00
00
10
10
10
01
00
10
10
00
00
10
11
10
10
00
00
11
10
11
00
11
11
11
00
00
01
10
00
10
10
00
00
10
11
10
00
01
10
11
11
00
10
01
00
10
01
00
11
00
00
01
10
10
00
10
10
00
00
00
10
10
00
00
10
01
01
01
00
01
10
00
00
10
00
10
01
01
00
11
10
10
01
10
11
01
00
10
00
11
00
10
10
00
01
11
00
01
10
11
11
00
11
10
00
11
01
00
11
10
00
10
10
00
01
00
10
00
00
11
00
10
10
10
10
11
10
11
11
11
01
01
01
00
10
10
00
00
00
10
10
10
00
00
00
00
10
01
01
00
11
00
10
00
10
10
00
11
10
00
10
00
10
11
10
01
00
00
00
11
11
00
01
10
11
11
01
00
10
10
10
01
00
10
00
00
11
11
00
00
10
00
00
11
10
01
01
11
10
00
11
11
10
00
10
11
00
10
01
10
10
00
11
10
11
10
01
10
11
10
10
10
01
10
10
10
01
10
00
00
01
01
10
00
01
10
11
01
10
00
11
00
00
00
01
10
01
00
10
11
10
10
10
00
00
11
01
00
11
00
01
10
00
11
11
11
01
10
01
00
10
10
00
00
10
11
00
11
11
10
01
01
01
10
10
00
10
10
00
00
11
00
11
00
10
10
11
01
00
10
11
00
10
00
00
10
00
10
10
10
10
00
10
10
00
00
10
00
00
10
00
10
00
10
11
00
11
00
10
10
11
11
00
11
10
10
10
00
10
11
00
11
10
00
11
11
00
10
10
00
10
01
11
10
00
11
11
00
10
01
11
10
00
10
10
00
00
00
01
00
11
00
10
10
00
01
10
11
10
11
00
00
10
00
00
11
01
00
10
10
00
11
00
10
11
10
10
10
01
00
10
00
10
00
01
11
00
11
00
11
11
10
00
10
00
10
00
00
10
10
00
10
00
00
00
11
10
00
10
11
01
10
10
01
00
10
11
00
01
00
11
00
00
11
00
10
10
10
01
01
11
11
10
00
11
00
01
00
10
10
00
00
10
10
00
01
01
11
10
01
01
11
10
00
10
10
01
00
00
11
00
11
10
10
10
00
10
10
01
00
01
00
11
00
00
10
10
10
00
11
00
01
10
00
10
10
00
10
10
01
11
00
11
11
10
00
00
11
01
10
10
01
00
00
01
10
00
11
01
00
00
10
10
10
00
11
00
00
00
00
11
00
10
00
11
01
10
00
00
01
00
00
00
10
00
10
10
00
00
10
11
10
01
01
10
01
00
01
10
10
10
00
01
10
00
01
01
00
01
00
10
00
10
00
00
01
00
11
00
11
01
10
00
10
10
10
00
00
00
10
00
00
10
11
01
01
11
10
11
00
10
11
01
01
11
10
00
10
01
00
01
11
11
00
10
10
11
01
00
00
10
00
10
10
10
00
01
10
10
11
11
00
11
00
01
10
11
00
01
01
10
10
00
10
10
00
00
00
10
00
01
11
00
10
10
11
11
00
11
10
00
00
10
00
01
10
11
00
00
10
10
10
01
00
01
10
11
01
10
10
10
10
10
00
01
11
00
01
10
11
00
00
01
00
11
11
00
00
00
01
10
01
00
01
01
01
01
10
00
11
00
00
10
10
00
11
10
00
00
11
01
01
00
11
10
01
00
10
10
01
00
10
00
00
10
00
10
10
00
00
00
00
10
10
00
01
00
10
00
01
01
11
11
00
11
10
00
11
11
00
01
11
00
10
01
10
01
10
10
01
00
10
10
10
00
00
10
11
00
10
00
11
10
11
10
00
00
00
00
00
10
10
01
11
10
01
10
00
01
00
00
00
11
10
10
00
10
11
10
00
11
00
01
11
01
11
11
00
00
01
10
00
01
11
01
00
10
01
01
00
00
11
10
11
00
10
00
11
11
11
10
00
10
10
00
11
00
00
00
00
00
00
00
10
00
01
01
01
10
00
10
10
10
10
00
00
10
10
11
00
00
10
10
10
10
00
01
10
10
00
11
10
00
10
10
00
00
10
01
00
10
11
10
01
10
11
01
10
00
00
00
10
00
01
10
11
01
10
11
10
00
10
00
00
00
10
11
10
10
00
10
00
01
11
10
00
10
11
01
00
00
01
00
10
10
01
10
10
10
10
01
10
11
10
00
00
01
00
00
01
10
11
00
10
10
00
01
00
00
10
10
10
01
11
10
01
00
01
00
00
00
01
00
10
01
00
10
00
00
10
01
10
00
00
10
10
10
10
01
00
00
01
10
10
11
01
00
00
11
10
10
10
00
00
10
00
10
10
11
01
00
01
10
01
00
10
00
11
10
00
11
10
10
10
10
01
10
11
01
11
10
10
11
10
10
01
11
00
01
10
10
10
01
00
11
11
01
10
10
00
01
10
00
00
11
10
00
00
10
00
01
10
11
10
00
11
10
10
00
10
11
11
01
01
10
00
00
01
11
10
00
00
00
10
10
10
00
10
10
10
10
11
11
00
10
01
10
01
10
10
00
10
11
01
00
10
00
11
10
01
10
01
10
00
01
11
10
01
11
01
10
00
01
10
10
10
10
00
10
10
10
10
00
11
00
11
01
10
10
10
10
11
00
00
10
00
10
10
00
00
00
10
00
10
11
00
10
00
00
01
00
11
01
01
11
01
00
10
10
10
00
00
11
10
01
00
10
00
10
00
10
00
00
00
11
11
01
11
10
10
01
01
11
10
00
00
01
10
00
01
11
11
00
00
11
10
01
10
10
00
00
10
01
00
10
01
10
01
10
10
10
00
11
10
00
10
01
11
10
10
00
11
01
10
00
10
00
10
10
01
11
00
01
11
01
00
10
10
10
00
00
10
00
11
01
01
11
10
01
10
11
11
10
10
00
01
10
01
00
00
00
10
00
00
01
10
10
10
00
00
10
00
00
01
00
10
11
11
10
00
11
10
10
10
00
01
10
10
10
10
00
11
01
01
11
10
10
00
10
11
00
01
10
11
10
01
10
01
00
11
10
00
10
01
10
11
10
00
10
11
10
00
10
10
00
10
00
00
00
10
01
11
10
10
10
10
00
11
10
00
10
11
11
01
00
01
10
00
11
10
11
01
10
10
10
00
10
10
01
01
00
10
10
01
10
11
01
11
10
11
10
10
00
00
00
10
10
00
10
00
10
11
10
00
11
01
00
00
00
01
10
00
00
00
10
10
10
11
10
10
00
10
01
00
10
10
11
00
01
00
00
00
10
00
01
10
10
00
10
00
01
10
11
10
00
01
10
00
00
10
11
01
10
01
00
10
00
10
01
11
01
00
10
00
10
00
11
11
00
10
01
10
11
11
11
00
00
11
10
11
01
00
11
10
10
00
00
10
10
00
01
10
10
11
01
01
10
11
00
00
01
11
10
10
01
00
01
11
00
10
10
00
10
10
00
11
10
00
00
10
01
11
00
01
00
11
10
11
10
00
00
10
10
01
00
11
11
00
11
00
00
00
11
11
01
11
11
01
00
10
11
10
01
01
01
10
11
00
10
00
00
00
10
00
00
10
10
00
01
11
01
01
11
10
01
10
00
11
11
11
01
01
10
01
00
00
10
10
00
00
10
11
00
01
00
11
10
10
00
10
00
01
10
11
00
01
10
11
10
10
10
01
00
11
10
00
10
10
10
11
01
00
10
10
10
10
10
00
01
00
10
00
11
11
01
11
00
00
00
00
10
00
11
00
10
10
00
00
00
10
00
11
11
10
11
00
10
10
11
01
10
11
01
01
10
10
10
00
00
10
10
01
01
10
11
01
01
11
11
00
01
11
11
11
00
00
10
11
00
00
11
10
10
01
00
00
10
11
11
10
00
00
10
10
10
00
00
11
10
10
00
10
10
10
00
00
00
00
10
01
10
01
01
00
10
10
10
00
11
10
00
01
10
11
00
11
10
11
10
01
00
10
11
11
01
00
10
10
01
00
10
00
10
10
10
11
00
00
10
00
10
11
10
10
11
01
00
01
10
00
00
00
11
10
01
00
10
00
00
00
10
10
10
00
10
10
10
01
10
10
00
00
00
10
00
00
00
10
01
10
00
00
10
10
00
01
10
00
00
10
10
00
00
10
01
10
10
00
11
11
00
01
10
00
11
00
10
00
00
11
01
11
00
01
00
00
01
01
01
10
10
00
10
01
00
10
10
10
10
10
10
00
10
10
10
01
01
00
00
10
00
00
01
10
01
00
11
00
01
10
11
01
00
00
01
11
10
00
00
10
00
00
01
00
11
10
00
11
10
11
10
11
01
01
10
01
00
10
10
01
10
00
00
10
00
11
10
00
00
10
00
01
11
10
11
11
00
11
00
11
11
10
00
00
10
10
10
01
10
00
00
00
11
10
10
01
10
10
11
00
11
10
10
00
00
10
11
11
00
01
10
01
10
10
00
00
10
00
00
11
00
01
00
10
10
01
00
01
10
10
11
01
01
10
11
00
01
00
10
10
00
11
00
01
00
01
00
10
11
00
11
00
10
10
10
11
00
00
10
10
11
00
00
00
10
00
10
00
11
01
10
10
00
10
01
11
01
11
00
00
01
00
11
10
10
01
01
10
10
11
01
00
01
10
10
11
00
10
00
00
10
00
00
01
00
00
10
01
10
11
00
11
00
00
10
11
00
00
00
11
10
00
10
00
10
10
00
01
10
11
10
00
11
10
01
00
11
11
00
00
10
00
10
10
00
00
11
00
10
01
10
10
10
11
11
01
11
01
10
11
11
10
00
00
01
10
10
01
11
10
10
00
10
00
01
10
00
10
00
01
10
11
00
00
10
10
01
01
01
00
10
10
11
10
11
11
01
00
01
10
01
01
11
00
10
01
01
00
11
00
00
00
00
10
10
00
00
10
01
00
10
00
00
01
00
10
00
11
10
10
00
01
10
11
11
10
10
01
10
00
11
10
11
11
10
10
10
10
11
00
01
10
00
10
11
00
11
00
01
10
10
00
10
11
00
10
10
10
00
01
11
00
00
11
10
10
10
01
10
01
00
11
10
01
00
11
01
00
00
11
10
00
10
10
01
10
10
00
10
10
00
00
10
10
00
10
01
01
11
11
10
00
00
10
00
10
10
00
00
00
10
11
00
10
00
11
00
11
01
00
00
11
01
10
10
10
10
11
11
01
00
10
10
01
00
10
11
00
10
10
10
01
00
10
10
10
10
10
10
10
00
00
00
10
10
01
10
00
10
00
10
01
01
00
01
00
10
10
00
10
00
00
10
01
00
01
00
01
10
11
11
11
01
00
00
00
00
10
00
00
11
10
00
10
01
00
11
10
01
11
00
10
01
00
11
10
00
01
10
00
11
00
10
00
10
10
00
10
00
00
10
00
01
01
01
10
00
00
11
11
00
01
11
00
11
01
10
00
00
00
01
11
10
01
00
10
00
00
11
01
00
10
10
11
00
11
00
10
10
00
00
10
10
01
11
11
01
11
00
00
00
10
11
00
00
10
00
10
00
00
00
10
10
00
00
01
00
00
10
10
01
11
11
10
01
10
00
11
10
00
00
10
11
00
01
00
00
11
00
11
10
01
01
10
10
00
00
10
10
00
11
01
00
10
00
10
11
10
00
11
10
10
00
10
10
00
01
00
11
00
00
11
10
10
10
11
00
11
01
01
11
01
00
00
11
10
00
10
10
00
00
10
10
11
01
11
11
00
10
10
10
10
10
00
00
01
01
10
00
11
10
10
10
00
00
00
11
11
00
10
11
00
00
00
10
00
00
00
01
01
00
00
00
10
10
11
00
01
10
00
11
01
10
11
11
00
10
00
00
00
00
10
00
00
01
10
10
00
10
00
00
01
10
10
01
01
00
00
11
10
00
00
10
01
01
00
00
11
10
01
01
10
10
01
10
10
10
01
01
10
00
10
10
00
10
11
01
01
00
01
10
00
00
01
10
00
11
10
10
01
00
10
10
01
01
10
00
10
00
11
01
00
10
00
00
10
11
10
01
00
00
10
10
00
10
00
01
11
01
10
00
11
01
10
01
10
10
00
10
11
01
00
01
00
11
11
00
00
11
00
11
00
00
10
10
10
10
00
00
00
00
10
10
11
10
11
00
11
10
00
10
11
10
01
10
00
00
00
10
10
10
01
00
01
10
10
00
11
11
10
00
10
10
01
01
10
01
10
00
10
00
00
10
01
00
00
01
10
10
10
10
10
00
11
10
01
10
00
11
00
00
01
00
11
01
10
10
10
10
01
10
10
00
00
10
01
00
01
10
10
01
10
10
01
10
10
00
00
10
11
11
10
00
10
00
00
01
10
01
01
10
10
10
10
01
10
11
10
10
10
10
01
00
10
00
10
10
11
10
00
11
10
11
00
10
10
00
00
00
01
10
00
00
01
11
10
00
01
10
00
01
10
10
11
01
11
10
00
00
00
00
10
00
01
00
11
10
01
10
01
00
00
10
11
01
00
00
11
10
10
00
01
10
11
11
01
10
10
00
01
01
01
01
10
11
10
11
10
00
00
10
00
10
00
01
01
00
00
00
01
00
10
10
01
10
11
00
10
10
00
10
00
00
10
11
00
10
00
10
00
00
00
10
00
00
11
00
11
11
10
10
00
11
01
10
10
01
00
10
10
00
11
00
00
10
01
00
10
00
10
11
10
11
01
00
11
11
00
00
01
10
01
00
11
01
11
10
10
01
00
00
10
00
00
10
10
00
00
11
00
10
01
10
11
00
11
11
10
01
00
01
10
10
00
10
10
00
00
11
00
10
11
10
00
10
10
00
10
01
10
10
00
10
11
01
10
00
01
10
10
11
00
00
10
11
10
10
10
11
00
00
11
00
00
01
00
10
11
10
11
01
00
00
00
00
10
11
01
00
10
00
00
00
10
10
10
00
10
00
00
01
11
01
11
01
11
01
01
00
10
10
00
01
00
11
10
01
10
11
01
00
01
11
10
00
00
00
11
11
01
10
00
10
10
00
01
00
10
10
00
11
00
11
10
11
00
01
00
11
00
10
01
00
10
10
00
00
00
10
10
00
01
10
11
10
00
01
10
01
11
01
01
11
10
10
10
01
01
11
10
00
10
10
10
10
00
00
00
10
10
00
11
11
00
10
11
01
00
00
11
11
01
11
01
01
10
10
00
10
01
00
10
10
00
00
10
10
00
11
10
10
01
11
00
00
01
10
01
00
10
10
01
01
11
00
00
10
00
00
10
00
00
10
01
11
00
10
00
00
11
10
10
00
00
10
10
00
01
10
10
11
10
10
01
00
00
11
10
10
11
00
00
11
10
01
10
10
00
10
11
11
00
10
11
11
00
01
10
10
00
00
10
00
11
11
00
00
00
10
01
10
10
00
01
10
11
10
00
10
10
10
01
00
10
00
11
00
00
10
00
11
10
01
10
10
01
10
10
00
10
11
10
01
11
00
11
00
00
11
00
10
01
10
11
10
10
00
11
11
01
11
00
01
10
10
10
01
01
11
11
10
00
10
10
01
10
10
01
11
01
01
11
00
10
10
11
11
10
00
00
11
00
10
00
10
11
01
01
10
00
10
11
01
10
01
10
10
00
00
10
01
11
11
10
00
11
00
11
00
11
11
00
01
11
00
11
11
01
01
01
10
01
10
10
01
00
10
11
01
00
00
10
10
00
10
10
01
00
11
00
01
00
10
00
01
11
10
11
00
00
01
10
10
01
01
10
01
00
10
10
11
00
00
00
00
11
10
00
01
11
10
10
01
00
10
00
00
00
00
10
10
11
10
01
00
00
00
01
00
10
01
00
11
10
00
00
10
00
00
00
10
10
00
00
10
00
00
11
00
10
00
11
11
00
01
01
00
11
00
11
00
10
10
10
11
01
11
10
00
00
00
00
11
10
00
01
01
00
00
10
10
11
00
00
11
11
00
10
10
00
11
10
10
11
11
10
01
11
01
01
10
00
00
10
10
01
00
10
11
10
00
10
11
01
00
11
00
10
00
00
10
11
10
00
01
00
11
10
00
00
10
10
00
00
10
10
01
00
10
11
10
00
11
10
00
00
00
10
10
10
10
01
00
00
00
00
10
11
01
01
10
00
00
00
00
10
10
00
10
00
00
10
11
11
01
00
11
00
10
00
00
00
00
00
10
11
00
10
01
00
00
10
11
00
11
11
00
11
01
01
10
01
00
10
00
11
10
00
01
11
00
10
10
01
11
11
00
10
10
00
11
00
11
10
11
11
00
01
00
10
10
00
01
00
10
10
10
00
11
00
01
11
00
10
11
10
10
00
01
10
00
00
00
00
01
00
00
10
10
10
10
10
00
00
11
10
00
00
10
01
00
01
00
00
11
10
00
01
01
10
10
00
00
10
00
01
10
10
00
01
00
01
00
10
11
00
00
11
10
01
10
00
00
10
10
00
11
11
00
10
00
10
10
11
01
11
01
00
01
00
10
10
01
00
10
00
01
11
00
11
11
00
00
00
10
10
00
01
01
00
00
11
10
01
10
01
11
10
00
10
10
00
10
10
00
11
10
10
00
00
00
11
00
10
00
00
00
00
11
00
00
10
00
01
11
11
11
11
11
00
00
00
10
10
11
00
00
11
00
01
10
01
00
11
11
10
01
00
10
10
10
01
00
10
10
10
00
00
10
00
00
10
01
00
10
00
00
00
10
00
00
10
00
10
10
10
10
10
01
01
00
01
01
00
01
00
10
10
01
00
10
11
00
00
11
11
10
00
00
10
01
10
10
10
00
10
00
00
00
11
10
10
11
00
01
10
10
00
10
10
01
01
11
00
00
00
01
11
00
10
10
00
11
00
11
11
11
00
00
10
00
11
10
00
00
11
01
11
10
00
11
11
11
10
01
01
10
10
10
10
00
01
10
10
00
00
10
11
11
01
00
10
00
00
10
00
11
10
10
01
10
00
10
11
10
10
00
00
01
11
11
01
10
10
01
10
00
10
10
00
01
10
01
10
10
10
00
10
00
00
10
01
10
11
00
00
00
00
10
00
00
11
11
00
00
00
10
00
10
10
00
11
10
11
00
01
11
01
10
10
01
00
10
11
01
11
10
10
11
10
00
01
10
00
00
10
00
00
10
10
10
10
10
11
00
01
11
01
01
00
10
10
00
01
10
10
01
10
00
00
10
10
10
10
11
00
00
10
00
01
10
11
00
11
00
01
00
00
01
10
11
11
11
10
10
00
00
10
10
00
01
10
01
01
10
10
00
01
10
00
00
00
00
10
01
00
00
01
00
00
10
11
01
10
10
10
11
10
01
00
11
10
11
01
11
00
00
01
11
11
00
00
11
10
10
00
00
10
10
10
01
11
00
10
11
00
00
10
10
00
00
10
10
11
10
10
00
11
00
01
10
00
00
11
01
00
10
01
00
10
10
11
01
00
00
10
10
00
01
00
00
10
11
10
10
00
00
01
01
10
01
00
01
10
10
10
10
00
00
10
10
00
00
01
10
11
11
11
11
00
10
11
00
00
10
11
00
11
10
00
01
10
00
10
11
10
00
01
11
01
00
11
10
11
10
00
00
00
10
10
11
01
00
10
11
10
00
11
10
00
00
00
11
10
00
00
11
10
11
10
00
00
00
00
01
01
11
01
00
01
10
10
10
10
10
01
10
00
01
10
11
10
11
10
10
00
00
01
10
10
00
00
10
01
00
00
00
10
10
00
00
11
11
11
10
00
00
01
10
10
00
01
11
10
00
01
10
11
10
10
10
00
00
10
00
00
11
00
10
00
00
00
10
10
10
01
11
10
00
10
11
01
10
11
01
10
11
10
00
00
10
10
00
00
11
11
11
00
01
00
00
00
00
10
10
10
00
01
10
00
00
00
01
00
01
10
00
11
00
11
11
11
00
11
11
10
11
00
01
10
10
00
00
11
10
00
11
10
00
10
10
10
01
01
10
00
00
11
00
00
10
10
00
01
11
01
10
00
10
01
10
11
00
00
00
01
10
00
10
10
00
00
11
00
01
10
10
11
00
00
10
00
10
10
01
10
01
10
01
00
01
10
11
11
01
01
10
00
11
10
00
01
10
10
11
11
00
01
00
00
00
10
11
00
00
00
10
10
10
11
00
01
10
00
11
11
10
11
00
00
01
11
00
11
10
00
10
11
00
10
11
00
00
10
00
00
10
11
00
10
00
01
00
00
10
00
10
10
10
00
11
11
11
11
10
01
10
01
10
10
00
01
01
10
00
10
00
10
00
01
11
11
11
00
00
10
10
10
10
00
01
10
10
10
11
00
00
00
00
11
01
11
10
00
01
10
11
00
00
10
10
11
10
10
00
10
00
11
10
00
10
01
00
00
10
10
00
00
01
11
00
10
00
11
11
10
00
11
11
10
11
01
00
00
00
10
10
11
01
10
10
00
00
10
10
00
00
00
10
01
00
00
01
10
10
01
11
10
01
01
11
10
11
00
00
11
10
00
01
01
10
10
10
10
00
00
00
00
10
10
10
10
11
10
10
11
11
10
00
10
01
11
10
11
00
01
00
00
11
00
10
10
11
10
10
01
00
00
11
10
00
10
00
00
01
00
10
10
00
00
00
10
00
11
01
10
11
01
00
01
01
10
10
10
11
11
10
01
00
00
10
10
00
10
00
10
11
10
00
10
11
10
10
10
00
00
00
10
11
00
10
10
00
10
00
10
11
11
01
10
10
00
00
10
11
01
00
10
10
11
01
00
10
11
00
11
10
10
00
00
00
11
11
00
01
10
00
10
10
11
00
10
10
00
10
10
00
00
10
10
01
10
10
01
00
00
01
00
10
10
10
00
11
10
00
00
11
10
01
10
01
01
11
10
01
11
10
10
00
00
10
10
01
10
00
11
11
00
10
10
00
10
01
00
00
10
10
01
10
01
01
11
11
00
10
00
01
10
01
10
11
00
10
10
01
10
11
01
01
01
11
00
10
10
01
10
10
00
00
01
10
00
01
10
01
10
01
00
01
11
00
11
10
00
11
00
00
00
00
10
00
11
11
10
00
01
11
01
00
11
11
00
00
10
00
01
11
01
00
11
00
00
10
11
00
01
01
01
10
01
10
11
00
10
10
01
01
10
00
00
10
10
10
01
00
10
10
10
11
10
10
11
00
10
00
00
10
10
00
10
11
00
10
00
00
00
01
11
10
11
00
01
10
10
00
01
00
00
10
11
11
00
00
10
10
01
11
01
11
10
00
10
01
10
10
00
00
01
00
11
10
11
00
10
11
00
10
10
10
01
10
00
10
00
01
10
11
00
11
01
01
00
01
00
11
10
01
00
11
10
00
10
11
00
01
00
11
00
11
10
00
01
00
00
10
10
01
11
10
00
00
11
10
01
10
10
00
00
00
10
11
00
00
00
10
11
00
11
00
01
11
00
01
00
00
11
01
11
10
00
11
10
11
00
01
00
11
10
00
10
11
10
10
10
00
00
00
10
10
11
11
00
10
00
11
00
11
00
00
01
10
00
11
01
01
11
11
11
00
00
01
10
11
10
01
01
00
11
11
11
00
10
10
10
01
01
11
10
11
01
10
10
10
00
00
10
10
00
10
10
10
00
00
10
10
10
10
11
00
00
01
10
10
10
00
00
10
00
10
10
00
01
00
11
00
01
10
00
01
10
00
10
01
00
01
00
11
10
01
11
00
00
10
01
01
00
10
10
11
00
10
10
00
00
01
10
11
00
11
01
01
00
10
00
11
00
00
11
00
11
01
01
11
11
00
00
00
11
10
01
00
10
10
00
11
10
01
00
10
00
10
11
11
01
10
00
00
10
11
00
00
01
11
10
11
00
00
10
01
10
01
00
11
00
10
11
01
01
11
10
00
00
01
10
10
10
00
10
11
10
01
00
11
00
10
01
00
11
11
10
00
10
10
00
10
00
00
10
10
10
10
01
10
00
10
10
00
00
11
11
00
11
00
00
01
00
10
00
10
10
01
00
10
01
01
01
11
10
00
11
00
11
10
00
01
10
01
10
01
00
10
01
10
10
01
10
10
10
10
01
00
11
00
00
10
10
11
10
11
00
00
10
00
00
10
10
01
10
11
11
10
01
01
10
10
10
00
10
10
10
10
00
00
00
10
00
01
11
11
01
10
11
10
00
10
10
00
00
01
10
10
11
00
00
10
11
00
11
00
00
00
10
01
10
01
00
10
10
00
11
00
00
10
00
00
00
10
10
10
01
01
00
00
10
11
00
01
00
01
11
01
00
00
10
10
10
10
01
00
01
11
10
10
01
01
10
01
01
10
10
00
00
10
01
00
10
11
01
00
01
10
01
10
10
00
00
00
11
00
11
11
00
01
10
11
01
01
10
11
00
01
11
00
01
10
10
00
00
10
00
10
10
00
11
10
10
00
00
01
11
10
11
00
01
10
00
10
10
00
00
10
00
10
10
00
00
00
01
11
10
10
00
01
10
10
01
00
10
10
00
11
10
00
01
10
11
00
10
01
10
00
00
00
10
11
00
10
00
10
01
11
10
00
00
10
10
11
10
01
00
01
01
00
10
10
01
00
00
10
10
10
10
00
00
10
10
00
00
11
00
00
10
11
11
11
01
00
00
11
10
00
00
10
11
00
01
00
00
00
10
10
00
00
10
10
00
10
11
11
00
11
11
00
01
10
01
10
00
10
11
10
10
00
00
01
00
00
10
00
01
01
00
11
01
00
10
11
10
01
10
11
11
00
00
10
01
01
00
11
00
11
10
00
01
00
01
11
11
01
10
10
10
01
00
11
11
00
01
00
00
01
00
10
11
01
00
11
10
01
11
00
11
10
10
00
00
10
10
00
00
00
10
00
10
01
10
11
00
00
00
01
10
11
10
00
00
10
10
10
00
10
11
01
00
11
00
10
00
00
00
10
10
00
01
11
10
10
11
00
10
11
00
10
10
00
10
11
01
01
00
10
01
00
10
00
10
10
10
11
00
01
10
11
10
00
10
01
10
10
10
01
00
00
00
10
11
01
10
11
10
01
10
00
10
11
10
00
00
00
10
11
10
10
00
10
00
10
01
00
10
10
11
00
00
10
00
10
10
00
10
10
00
01
00
10
00
01
10
10
10
10
00
01
00
00
01
10
10
10
11
10
01
01
00
00
01
11
01
01
10
10
00
00
00
11
10
00
00
10
00
00
00
10
01
00
01
00
00
10
11
00
00
00
10
01
10
11
00
10
10
10
10
00
11
00
10
00
10
10
00
00
00
11
11
11
10
00
00
01
01
11
11
00
10
10
10
00
00
11
00
00
00
00
00
00
00
11
00
10
00
10
01
10
11
00
10
01
00
01
00
10
10
10
01
01
00
11
10
01
10
00
00
10
11
00
00
10
00
00
01
10
10
00
00
00
00
10
10
11
01
00
10
01
00
10
11
00
00
00
00
10
10
01
00
01
10
00
01
11
01
00
00
00
11
00
10
11
01
10
10
00
00
10
00
00
00
11
11
10
11
00
00
10
00
10
00
00
11
00
00
00
10
11
01
00
11
00
01
00
00
10
00
01
11
11
00
10
10
10
00
00
10
11
00
00
01
10
00
10
00
01
10
10
00
00
10
11
11
10
00
01
00
10
00
10
10
00
01
10
10
10
11
00
11
00
01
10
10
10
10
01
00
00
00
10
11
01
11
01
00
11
11
00
11
10
00
01
01
10
00
10
10
10
01
01
00
11
00
10
10
00
00
00
10
10
11
11
01
01
00
00
10
11
01
00
10
01
00
10
00
11
10
01
00
10
00
01
00
10
11
10
10
00
11
00
11
01
00
00
10
01
00
10
00
00
11
10
00
10
11
00
11
00
00
00
11
11
10
01
00
11
10
00
10
10
10
00
01
11
11
01
01
10
00
00
10
01
00
00
10
10
00
11
00
00
11
00
01
10
00
11
10
10
01
10
10
11
10
10
10
10
11
11
00
00
11
10
01
00
11
10
00
11
00
10
10
00
00
10
10
01
11
10
01
00
10
11
11
00
10
11
00
00
10
10
01
10
00
00
01
00
00
11
11
10
00
00
11
10
11
00
00
10
10
10
10
00
00
10
11
11
10
00
10
00
00
10
10
11
00
01
10
00
01
01
00
01
01
11
10
00
01
10
11
00
11
10
10
00
00
00
11
01
10
01
01
10
11
00
10
10
11
00
00
00
10
10
01
10
10
00
11
00
11
11
00
00
10
10
01
00
10
10
00
11
00
10
00
11
10
11
10
10
00
10
10
00
10
10
10
00
10
10
10
11
10
11
11
01
00
10
10
00
00
00
10
10
11
00
00
00
11
11
00
11
00
10
11
11
00
10
11
01
11
00
00
00
10
10
10
11
00
00
10
11
10
00
01
10
10
00
00
00
10
00
00
10
10
10
10
10
10
10
00
01
10
00
11
10
11
10
00
00
11
00
00
10
10
10
11
10
00
10
11
01
00
10
11
00
00
11
00
00
10
01
10
00
01
10
00
11
00
01
10
00
01
01
10
10
10
01
11
11
00
11
10
01
00
00
10
10
11
00
00
10
00
00
11
11
01
10
01
00
10
10
10
00
00
10
01
10
00
00
10
01
10
10
00
00
10
10
10
00
00
10
10
10
10
01
00
00
01
00
00
10
00
11
10
01
10
11
00
11
10
11
00
10
10
01
00
10
10
00
00
10
01
00
11
00
10
10
10
00
00
10
10
00
01
00
11
11
10
01
00
10
00
00
11
10
00
00
00
01
10
11
10
11
00
00
00
01
10
00
10
10
00
10
00
10
10
00
11
00
00
01
10
10
11
00
10
10
10
00
01
10
01
01
01
11
11
10
10
10
00
00
10
00
00
00
11
10
10
11
10
11
11
10
10
10
00
01
10
10
00
00
10
00
01
10
10
00
10
01
01
10
00
00
01
01
11
00
10
11
11
10
00
00
10
01
10
01
00
01
10
10
10
00
01
11
00
00
01
10
00
10
00
00
11
00
00
11
01
00
00
11
11
10
00
01
00
11
10
10
11
10
00
01
01
11
00
00
10
10
00
11
00
10
10
01
10
00
11
00
10
10
01
00
11
11
00
10
01
00
10
01
00
00
10
01
10
10
00
00
00
00
10
10
10
00
01
10
10
11
10
01
00
10
00
00
00
10
00
00
10
10
10
10
01
10
11
10
00
10
00
10
01
10
11
11
01
00
10
10
10
01
00
00
10
11
10
10
10
00
10
11
11
10
01
11
00
11
01
01
10
11
00
11
00
00
11
10
01
10
00
00
10
10
00
00
10
10
10
11
10
00
10
00
00
10
00
00
11
00
11
10
10
10
10
10
10
00
00
10
01
10
00
10
10
01
01
10
00
10
11
11
11
01
10
10
00
01
00
00
10
10
10
01
10
00
10
11
11
11
11
11
10
01
01
11
11
00
10
10
00
00
01
10
10
00
00
10
00
10
10
01
00
11
00
10
11
00
00
10
10
00
00
00
00
10
10
10
01
00
10
01
11
00
10
00
10
10
00
11
10
11
00
00
11
00
00
10
00
01
10
11
01
00
10
11
00
10
11
00
11
10
10
01
01
10
11
10
01
10
00
01
11
10
10
10
01
01
00
00
01
10
01
01
11
11
10
00
10
11
01
00
01
11
00
01
11
10
11
00
01
10
10
00
00
10
10
11
00
11
00
11
00
00
01
10
11
11
10
01
00
11
10
00
00
11
00
01
11
00
10
01
10
10
10
00
00
10
00
10
10
00
01
00
10
00
01
10
10
10
00
10
00
00
11
01
11
10
10
00
11
11
01
01
10
00
01
00
10
10
00
00
10
00
10
11
11
00
10
11
10
00
00
11
01
00
11
11
10
01
00
00
00
10
10
10
00
01
00
00
00
10
00
00
10
10
10
00
10
00
10
10
11
10
00
00
00
10
00
10
11
01
01
10
00
00
00
10
00
10
10
01
10
00
01
00
10
00
10
10
00
11
00
00
00
11
00
10
00
00
00
11
00
10
01
10
11
00
11
10
01
10
00
01
10
10
00
01
10
01
00
10
00
11
10
10
00
01
10
11
10
10
00
10
10
00
11
10
01
00
11
01
00
10
00
10
01
00
10
11
01
00
11
00
00
01
11
01
10
10
10
11
10
00
01
10
11
01
10
00
01
10
11
11
10
11
00
00
10
10
00
01
11
01
10
00
10
01
10
11
00
01
01
10
10
11
10
00
11
00
01
11
10
00
10
11
11
01
01
11
00
01
00
10
11
00
10
10
10
00
11
11
00
00
00
00
00
10
10
00
01
00
10
10
00
10
00
00
00
00
11
11
01
10
00
11
00
00
00
11
00
01
10
00
10
01
10
11
01
00
11
00
01
11
11
00
00
00
10
10
10
11
00
01
10
11
00
01
10
11
00
00
10
00
10
10
11
00
10
01
00
01
10
11
00
01
00
00
01
11
10
00
10
10
10
11
11
00
00
00
10
10
10
01
11
10
00
10
11
01
00
00
10
10
01
00
10
10
00
10
10
00
01
00
10
11
01
10
01
00
00
00
00
01
10
11
01
00
10
00
00
10
10
01
00
00
10
10
00
11
10
00
10
01
11
10
01
00
10
01
10
01
11
00
10
00
00
10
11
10
01
00
00
11
00
10
10
00
10
10
10
00
00
10
11
10
00
01
00
01
00
10
11
00
11
00
00
11
00
01
11
00
00
00
11
11
00
01
00
10
00
11
10
00
01
11
10
10
00
00
11
11
00
11
00
00
10
00
10
00
00
11
10
00
10
00
11
10
10
00
01
00
11
10
11
00
00
01
00
10
10
10
01
10
11
00
00
10
00
00
00
10
11
00
00
00
00
00
01
00
11
10
11
00
10
00
00
11
10
01
00
10
01
10
10
00
11
10
00
10
00
00
10
11
10
00
10
10
11
00
01
00
10
10
11
00
00
01
10
11
01
10
00
00
10
11
10
01
10
00
00
00
10
10
10
00
01
00
10
11
10
11
00
00
10
10
11
01
10
10
10
01
01
10
00
00
10
00
01
10
00
11
11
00
01
10
10
10
10
00
00
00
11
00
10
10
11
01
01
10
01
11
10
00
00
11
00
00
11
11
10
10
00
10
01
10
00
00
00
11
10
00
10
11
10
10
10
10
01
11
00
01
10
10
00
01
10
10
01
10
10
10
00
00
10
10
00
10
10
10
10
10
10
00
01
10
01
01
00
01
10
01
01
01
11
10
00
00
00
10
00
00
00
11
00
10
11
01
00
00
00
00
01
00
10
11
00
11
01
00
10
01
10
00
00
01
01
00
10
10
10
00
11
10
10
10
11
00
00
10
01
00
00
11
10
00
01
00
11
10
10
10
11
00
01
11
11
01
01
11
11
00
01
00
11
10
00
00
10
01
10
00
00
11
11
10
11
00
10
00
00
00
10
10
10
00
10
01
00
01
11
00
11
00
10
01
00
10
10
00
01
00
01
10
10
00
01
00
10
10
01
11
11
10
00
10
11
00
10
00
00
11
10
00
00
11
10
00
11
00
01
01
10
11
10
00
01
10
11
10
10
10
10
00
11
01
00
11
11
11
10
01
10
10
00
01
10
01
10
10
11
10
10
11
10
01
10
00
11
10
00
10
11
11
10
00
01
00
11
00
00
11
00
00
11
10
00
10
00
00
10
01
10
01
10
10
00
00
00
01
10
10
00
01
10
00
00
00
10
10
01
10
10
01
00
10
10
00
01
01
10
11
11
00
00
10
11
11
11
00
01
11
00
00
00
11
10
00
10
10
01
10
01
00
00
10
01
00
10
00
10
10
11
00
11
10
11
00
10
10
00
00
10
10
01
10
01
10
10
10
10
00
01
00
10
00
01
10
11
11
00
01
00
10
01
00
10
10
11
00
10
00
00
00
00
10
10
00
00
10
11
00
10
00
10
01
00
01
11
11
01
10
10
10
10
00
00
10
11
00
00
00
00
10
10
01
00
01
10
11
00
10
00
00
00
10
10
01
01
10
11
01
11
10
01
10
00
00
10
11
11
00
00
00
10
10
11
00
01
10
11
01
10
00
00
10
01
01
10
11
01
10
10
10
10
11
00
00
01
01
01
00
00
11
00
00
11
00
00
00
01
10
10
00
00
00
01
01
00
00
00
10
10
00
10
10
10
00
00
10
01
10
11
01
00
10
00
00
10
00
10
10
00
10
01
10
10
10
00
01
01
01
11
00
11
00
00
10
11
00
00
10
10
00
10
11
10
11
10
10
01
11
00
10
00
01
01
10
11
10
10
00
01
00
00
00
00
01
11
01
10
00
11
00
00
11
11
00
01
00
00
10
11
00
11
10
10
10
00
00
00
11
01
01
10
10
00
10
10
10
00
00
10
10
01
00
10
11
10
01
11
10
01
00
11
10
00
10
10
00
00
01
01
00
01
11
10
01
10
10
00
01
11
10
11
00
01
11
11
00
10
10
00
01
10
01
00
00
10
00
10
11
00
11
10
01
00
10
00
01
11
11
01
01
10
11
10
11
00
00
10
11
10
01
10
00
00
10
00
10
00
01
10
00
11
01
00
11
11
00
10
10
10
00
11
10
00
00
10
10
01
00
11
01
10
00
01
10
11
10
01
10
10
10
00
01
10
10
00
01
10
10
11
11
00
01
10
11
00
00
00
00
10
10
10
00
01
00
11
11
10
00
00
00
00
00
10
10
00
00
10
10
00
01
00
01
00
10
10
00
11
10
00
10
00
00
10
00
00
11
00
10
10
00
11
10
10
00
10
10
01
10
10
10
00
10
00
00
10
00
01
01
10
10
01
10
00
10
00
10
10
01
10
11
01
00
01
00
11
00
01
10
01
10
11
11
10
00
00
01
00
10
11
00
00
00
01
01
01
11
10
01
01
10
00
10
10
01
11
11
01
11
00
00
01
01
10
10
00
01
10
01
01
10
00
11
10
11
10
11
10
01
00
00
00
10
00
00
11
10
10
00
10
10
10
00
00
10
00
11
10
00
10
11
00
00
10
10
01
11
00
10
10
10
00
00
10
00
10
10
10
00
01
11
10
10
00
01
00
10
00
01
01
10
01
11
11
11
00
01
10
01
01
11
10
10
10
11
00
00
00
00
00
10
10
10
10
00
11
00
00
10
00
00
00
11
11
10
01
01
01
00
01
10
10
11
00
01
10
00
00
00
01
10
11
01
01
01
11
10
01
10
00
00
10
10
00
01
11
10
00
10
00
10
01
01
10
01
00
11
11
00
00
11
01
10
10
00
11
01
11
10
00
11
10
00
10
00
00
10
00
01
10
00
10
10
00
01
01
11
01
00
01
00
11
01
01
11
10
01
01
11
11
00
00
10
01
10
10
00
00
00
01
01
11
00
10
01
01
10
00
01
11
11
00
01
00
10
10
00
10
00
00
10
11
11
00
10
10
00
10
00
00
10
00
01
00
00
10
11
10
00
11
01
00
10
10
10
00
10
10
01
10
11
00
01
00
10
11
01
10
11
00
01
11
10
11
11
00
00
10
10
10
01
00
11
10
00
10
10
11
01
01
11
10
00
00
01
01
10
10
10
10
01
10
00
00
10
00
00
10
00
00
10
10
01
10
00
00
01
10
11
10
10
00
10
00
00
01
10
11
01
11
01
11
00
10
01
10
10
11
10
01
01
00
10
00
00
10
01
00
10
10
00
00
11
00
11
10
00
00
01
01
00
00
00
10
10
00
11
00
00
11
11
00
00
00
01
00
11
11
11
01
00
11
10
01
10
00
00
10
00
00
00
10
00
00
00
00
01
10
11
00
00
00
00
10
10
10
00
10
11
01
11
11
11
10
00
11
10
00
00
10
11
10
00
00
00
00
10
10
00
00
10
11
01
00
00
00
11
00
01
10
01
11
10
10
00
01
11
11
01
10
01
00
11
01
01
11
10
00
00
00
10
11
00
00
10
00
11
11
10
10
10
00
10
00
10
11
10
01
01
10
00
00
00
11
10
10
01
00
10
10
10
10
11
10
01
00
10
10
10
01
00
00
10
01
00
10
11
00
01
01
01
01
01
10
00
00
11
10
10
01
11
10
10
01
00
00
10
10
00
11
10
11
10
10
00
10
11
00
01
10
01
00
10
00
00
10
00
01
10
10
10
10
10
10
11
11
11
10
11
00
00
10
11
10
00
00
10
00
11
11
10
10
01
11
01
11
00
10
10
01
11
10
01
01
00
11
10
10
00
10
00
00
01
10
10
01
00
10
00
10
10
10
10
10
00
10
10
00
01
10
11
11
11
00
10
01
00
10
11
11
00
00
11
11
11
00
01
10
01
10
10
00
11
00
00
01
10
10
10
00
10
11
01
11
10
00
00
10
11
00
10
10
10
10
00
10
11
00
01
00
11
00
11
01
11
10
01
10
10
11
01
00
10
10
01
01
01
10
10
00
01
10
00
01
01
00
10
00
10
10
10
00
00
10
00
00
01
00
11
00
10
10
10
00
10
01
01
10
11
00
00
01
00
11
01
10
11
10
10
11
00
00
10
10
00
01
00
00
01
00
10
10
11
00
10
10
01
01
00
10
10
01
00
00
10
10
11
11
01
10
00
01
10
00
01
00
10
00
00
11
00
01
10
10
00
10
00
00
10
10
01
00
00
00
00
00
01
01
10
00
10
11
01
00
10
11
11
01
00
10
10
00
11
11
00
10
10
10
01
10
00
00
01
10
10
11
11
01
01
01
00
00
01
10
10
11
00
00
11
10
00
10
10
00
01
00
01
11
11
00
00
00
11
10
00
10
10
11
10
10
00
00
11
01
11
11
01
00
01
00
11
11
01
00
11
10
00
10
10
11
10
00
00
00
10
10
11
00
00
10
10
11
00
00
10
10
11
10
10
00
00
10
11
00
00
01
10
10
00
10
11
10
00
01
00
10
10
00
10
00
01
10
11
01
11
11
00
00
00
00
01
00
11
10
01
00
11
11
11
01
01
01
11
00
00
10
10
00
00
10
10
10
10
01
10
00
11
00
10
00
00
11
10
10
01
10
00
00
01
00
00
11
11
00
10
10
00
00
00
10
00
10
10
00
00
10
00
00
10
10
00
00
00
11
00
10
00
10
10
01
00
11
10
00
10
10
00
10
00
00
10
11
00
00
10
10
00
00
01
10
10
10
00
00
10
11
10
00
00
01
11
11
01
00
00
10
00
01
10
11
00
00
10
00
00
11
10
00
10
10
01
00
01
10
10
11
10
00
10
10
01
00
10
00
00
00
10
10
10
00
10
10
11
11
10
10
00
10
00
10
00
00
10
10
11
10
10
10
10
10
00
10
11
00
00
11
00
10
10
00
10
00
00
10
11
10
01
00
00
10
00
10
10
10
11
10
00
11
10
01
10
10
00
00
10
11
00
01
00
00
01
00
11
10
00
00
00
10
11
10
01
11
10
00
01
11
00
00
00
11
10
00
11
00
01
10
00
01
10
01
00
10
01
11
00
01
00
00
10
11
10
10
00
01
00
10
10
10
10
10
00
01
01
00
01
10
01
00
10
10
10
10
10
00
00
11
01
10
10
00
10
01
10
10
10
00
01
11
01
00
11
01
10
00
00
11
11
00
01
10
10
10
00
00
10
10
10
00
10
11
00
01
10
00
10
00
10
00
11
10
10
00
10
10
00
01
11
11
01
10
10
11
00
10
00
00
10
11
01
11
11
00
11
00
11
00
10
11
00
00
10
10
01
01
00
10
00
00
10
00
11
00
01
00
11
00
11
10
01
00
11
00
11
10
00
00
10
00
00
00
10
10
10
11
00
11
10
00
00
10
11
01
00
00
01
01
01
10
10
10
10
01
01
10
10
01
00
00
10
11
00
11
11
01
10
11
00
01
10
11
11
01
11
10
00
00
01
10
00
01
10
01
00
11
10
00
10
10
00
10
10
01
00
11
00
10
11
01
11
10
10
00
10
10
11
00
01
00
00
11
01
10
00
10
10
10
11
11
00
01
00
10
11
10
11
11
11
00
00
10
10
01
00
11
10
10
00
00
11
00
00
11
00
01
10
11
10
10
00
10
10
10
01
00
01
01
00
00
00
01
11
10
01
10
01
00
11
01
00
10
11
01
00
00
01
00
00
10
11
10
01
11
10
01
01
01
01
00
10
10
00
00
00
11
11
00
01
01
10
11
10
10
10
10
00
01
00
10
10
00
10
10
10
00
01
10
00
00
10
01
01
10
01
10
01
00
11
00
10
10
11
00
11
10
01
00
10
00
00
00
10
10
01
00
10
00
10
10
00
00
10
10
10
00
00
00
11
01
00
10
10
10
11
00
10
00
00
10
00
00
10
10
00
10
00
00
11
00
00
11
11
01
10
11
00
10
10
01
10
00
01
10
00
00
10
10
00
01
10
11
00
00
11
10
10
00
01
10
00
00
10
10
00
00
00
10
11
11
10
01
11
10
11
01
00
01
10
11
01
01
10
11
00
00
00
10
10
11
11
00
01
00
00
10
00
01
00
10
00
10
00
10
11
00
11
10
11
00
10
11
10
00
00
10
00
10
10
00
10
00
00
10
01
10
00
11
01
00
01
10
10
00
11
11
10
00
00
11
01
10
01
11
10
00
11
01
00
11
00
10
10
10
01
00
10
10
00
00
11
00
00
00
00
10
10
10
00
11
11
01
10
00
01
01
00
11
10
01
00
01
00
10
00
00
11
11
10
00
00
10
00
01
01
10
10
00
00
00
11
10
00
00
11
10
00
11
10
00
10
00
10
10
01
10
10
00
01
10
01
00
00
11
10
10
01
11
11
00
01
01
11
01
00
10
11
11
01
01
11
11
00
11
11
10
01
00
01
00
01
11
10
10
01
10
10
10
00
11
00
01
10
10
11
10
10
10
00
00
11
01
11
00
00
10
10
00
10
00
00
00
10
10
11
10
10
10
10
00
01
10
10
00
00
11
00
00
10
01
10
10
00
01
00
01
01
00
00
11
00
10
10
00
10
00
10
10
10
00
11
00
00
00
01
10
01
01
11
11
01
10
00
11
10
00
00
10
00
10
01
00
00
10
10
10
11
00
01
11
10
00
11
01
10
10
10
10
00
10
10
00
10
10
00
11
00
01
11
00
00
11
00
11
10
00
10
10
01
01
11
01
11
10
00
10
10
00
11
10
00
01
00
10
00
00
10
01
11
10
00
00
01
11
10
10
01
10
10
01
11
00
00
00
10
11
10
00
00
10
00
01
11
11
01
11
10
00
10
11
10
00
01
01
11
10
01
00
00
10
00
00
00
01
10
10
00
00
01
11
01
01
11
01
00
10
01
11
11
01
00
01
00
11
11
00
11
10
10
00
00
10
10
10
01
10
00
10
11
11
01
00
10
11
01
01
10
10
01
10
10
00
00
10
10
11
00
10
00
10
01
01
10
00
11
01
11
10
01
10
11
01
10
01
00
11
10
00
00
10
11
00
00
10
10
00
10
11
00
00
10
00
00
11
11
01
01
10
10
00
00
00
10
11
10
10
00
10
10
00
10
11
00
00
10
10
00
00
00
10
11
10
01
01
00
01
10
00
11
10
11
00
01
01
00
00
00
00
10
10
01
11
00
10
11
11
00
10
01
00
10
00
11
10
01
11
00
00
00
10
10
00
10
10
00
11
11
11
11
00
10
00
00
10
10
00
00
11
01
11
00
11
10
00
01
10
01
00
11
10
11
10
11
01
10
00
00
11
11
10
10
00
00
11
00
00
01
10
00
10
01
00
11
10
00
01
11
10
01
10
10
10
11
00
01
10
11
00
10
01
00
11
10
00
01
01
00
11
00
01
11
01
01
11
00
00
01
01
01
11
11
10
11
11
00
01
10
00
11
10
00
00
10
00
01
11
10
00
00
01
00
10
01
10
01
00
11
00
01
00
10
00
01
10
10
00
01
00
00
10
10
10
01
00
00
11
11
00
00
10
00
00
10
10
00
01
00
00
00
11
11
00
00
10
10
11
01
01
11
10
00
10
11
10
11
01
10
00
11
10
00
10
00
10
00
10
10
00
01
10
00
00
00
10
10
00
00
11
01
00
00
00
00
10
11
01
00
10
01
10
10
00
00
10
10
11
01
01
10
00
10
01
10
00
00
00
10
11
11
10
01
11
11
11
11
10
10
11
00
00
11
10
00
10
10
00
11
11
11
00
11
00
00
11
10
00
10
11
00
00
11
10
11
11
00
01
10
00
10
00
00
01
11
11
10
00
10
10
00
01
00
11
10
11
00
00
00
00
00
00
10
10
10
00
01
01
11
00
10
01
00
11
10
00
11
10
00
10
01
00
10
11
10
10
10
00
00
00
01
10
11
01
01
10
10
10
11
10
10
00
10
00
01
00
10
10
00
00
01
10
00
10
10
11
10
01
10
01
01
01
11
01
11
10
10
00
00
00
11
10
10
00
10
00
00
11
10
00
00
11
00
01
10
10
00
10
10
10
11
00
00
10
10
00
00
01
10
10
00
11
10
00
11
00
01
11
00
10
10
10
10
00
00
01
01
01
00
11
01
10
01
10
00
00
10
10
01
01
11
11
11
11
10
11
01
10
01
00
11
10
11
00
10
01
01
01
11
11
01
00
10
00
10
10
00
11
00
00
10
10
11
10
00
00
10
10
11
10
10
00
00
11
01
01
11
10
11
00
00
00
01
10
10
01
00
00
00
11
01
00
00
11
00
01
00
10
00
10
01
00
01
11
00
00
10
00
11
11
01
11
10
11
00
01
10
00
00
10
00
00
11
10
11
01
01
01
00
00
11
10
00
00
11
11
01
00
00
10
10
00
00
10
11
01
01
10
00
00
11
00
01
10
10
00
00
10
01
10
00
10
11
00
11
11
10
00
01
00
01
11
10
00
00
00
10
00
01
00
10
10
00
01
00
00
11
01
01
11
10
00
10
00
10
00
10
10
00
00
00
01
00
10
10
10
10
10
10
01
10
10
10
10
10
00
10
10
00
10
01
00
11
10
10
00
00
10
10
10
10
11
10
11
00
01
00
10
11
00
00
11
10
00
10
10
00
10
00
00
10
10
01
00
00
11
01
00
11
10
10
10
01
00
10
10
00
00
11
10
00
00
10
10
10
00
00
10
10
11
00
00
00
10
10
10
00
10
01
00
10
01
00
01
00
01
10
00
00
00
11
11
01
01
00
01
00
10
00
11
11
01
11
10
01
00
01
10
00
00
10
01
00
01
11
11
00
10
11
01
10
10
10
00
00
10
00
01
00
11
00
10
00
00
10
10
10
10
00
10
00
11
10
10
01
01
00
00
00
10
00
00
11
11
00
10
01
01
01
00
01
01
10
00
11
10
01
00
10
10
11
01
00
11
11
00
00
00
01
00
00
10
01
10
00
00
11
01
10
01
01
01
10
11
01
10
01
10
11
00
00
00
00
11
10
11
10
11
00
01
00
11
10
10
00
00
10
10
00
00
00
00
11
11
00
10
00
01
10
10
00
10
00
00
10
11
00
01
10
01
00
11
10
00
10
11
10
00
00
00
11
00
00
00
00
10
11
10
10
10
00
10
00
00
00
11
00
11
11
01
11
00
10
10
00
00
10
11
10
10
00
10
01
10
00
00
11
11
10
00
00
00
01
11
11
01
00
10
01
11
01
01
10
01
01
00
11
11
00
10
00
01
11
10
00
01
01
10
11
11
00
00
00
10
11
11
10
00
10
11
01
00
10
01
00
00
10
10
10
00
01
11
10
00
10
00
00
01
00
10
01
01
01
10
01
11
10
00
00
00
10
11
10
01
10
11
01
00
00
00
10
10
01
10
11
10
01
00
01
10
10
11
00
00
11
10
00
10
10
00
00
00
10
10
00
10
00
00
10
10
00
10
00
00
10
00
00
10
11
00
11
10
00
11
11
00
01
00
10
11
10
01
00
00
01
10
11
10
00
10
11
10
00
00
10
10
10
11
10
10
10
00
00
00
01
10
11
01
11
00
01
00
10
00
11
10
00
00
10
11
00
00
01
11
11
10
11
10
10
01
10
00
00
01
11
10
11
01
10
11
00
11
10
10
00
00
10
10
00
00
01
00
11
10
00
10
11
10
11
01
00
10
10
10
11
10
00
00
11
11
00
10
00
10
00
00
10
00
10
11
11
11
11
00
11
10
01
00
00
11
10
00
11
00
10
10
01
01
00
00
01
01
01
00
11
11
01
11
00
01
11
10
11
00
01
10
01
00
11
11
01
00
10
01
10
10
00
01
10
11
00
01
10
11
10
00
10
10
00
00
10
10
00
01
00
10
01
10
00
01
11
11
11
01
00
10
00
00
10
10
00
00
00
10
11
01
11
10
00
10
10
10
11
00
10
10
01
00
01
01
00
00
10
11
10
00
00
10
00
10
00
00
10
10
11
00
00
01
10
10
00
00
10
10
00
00
01
11
01
11
10
00
00
10
10
10
00
00
00
01
10
10
10
10
10
11
00
00
01
00
10
10
10
10
11
00
00
00
01
10
00
10
10
10
10
01
11
10
01
01
00
10
00
11
00
01
10
00
01
00
00
10
10
10
11
00
00
10
10
10
00
10
00
01
10
10
00
10
00
01
00
00
00
11
01
11
10
01
10
00
00
11
10
10
10
00
00
00
00
00
01
11
10
10
00
10
00
11
10
00
10
10
10
00
10
00
10
10
00
10
01
11
00
10
00
10
00
00
11
10
10
00
10
10
00
10
01
01
11
01
11
10
00
00
10
10
00
00
11
11
01
11
00
00
10
11
11
11
01
00
00
11
00
01
00
10
10
00
10
11
00
00
10
10
00
11
00
00
11
10
10
10
00
11
10
11
01
00
00
00
10
01
10
10
11
01
10
11
10
00
00
10
10
00
00
01
11
11
10
00
10
00
00
10
00
00
11
10
10
00
11
10
00
11
00
01
01
00
00
00
10
00
00
01
11
10
00
01
00
00
00
11
11
00
10
01
01
00
01
10
11
00
01
00
00
10
01
00
10
00
01
10
01
11
10
11
10
00
11
10
01
10
00
01
00
01
11
00
00
10
10
11
01
00
11
10
00
10
11
00
11
10
01
00
00
10
01
10
11
10
01
00
11
10
00
10
10
00
00
10
11
10
01
00
00
00
10
11
01
00
10
01
00
00
10
00
10
11
01
00
11
00
10
10
00
10
11
00
00
10
10
11
10
00
10
10
11
01
10
01
00
10
01
01
10
00
00
10
10
01
01
11
00
01
10
00
00
01
10
10
10
10
10
00
01
10
10
01
01
10
01
11
11
00
00
10
00
00
11
00
00
10
11
01
01
00
10
10
10
01
10
10
00
01
00
11
10
00
00
00
10
01
00
10
10
00
00
00
01
00
00
00
10
00
11
00
01
11
01
00
00
10
10
00
00
10
10
00
11
10
00
00
00
11
11
10
00
00
10
01
00
10
00
01
00
01
11
10
01
00
00
10
00
01
00
01
10
10
00
10
10
01
11
10
10
11
10
11
10
00
01
10
10
00
10
10
01
01
01
00
01
00
10
10
00
00
10
10
00
11
10
10
01
00
00
11
10
11
11
01
00
00
10
00
00
10
00
00
00
10
10
11
10
10
00
10
00
01
10
00
00
10
00
10
10
10
00
00
10
11
10
00
00
11
00
11
10
00
10
10
11
00
01
00
11
10
11
10
00
00
10
10
11
00
01
01
10
11
00
01
00
10
10
10
00
10
01
00
10
01
00
10
00
11
11
01
00
10
01
10
10
10
00
00
00
00
01
10
10
01
10
00
10
11
01
10
11
00
10
11
00
00
10
10
00
00
10
00
00
10
01
11
00
01
11
00
00
00
00
11
11
01
01
11
10
00
11
10
00
01
10
00
00
00
11
00
00
11
10
10
00
01
01
00
00
01
10
10
11
10
01
01
10
01
00
10
00
00
10
10
10
11
00
01
10
10
11
11
00
11
10
01
11
01
00
10
10
10
10
11
00
01
10
01
00
11
01
01
01
10
00
11
10
10
10
00
00
01
00
11
10
00
11
10
10
00
00
01
10
10
10
00
10
10
00
00
11
11
00
00
10
10
11
11
00
11
00
01
10
00
01
10
10
01
11
11
10
01
10
10
00
01
01
11
00
01
10
11
11
10
11
10
01
00
01
00
10
00
11
00
01
11
10
01
10
00
00
00
10
10
10
00
10
00
10
00
00
10
11
00
11
00
00
10
00
00
00
11
10
11
01
10
10
00
00
01
10
10
00
00
10
10
10
11
11
00
10
10
10
10
11
10
00
10
10
11
10
01
00
11
10
01
01
01
00
10
01
10
10
10
00
00
10
10
00
10
10
10
00
10
01
01
01
10
00
01
00
01
10
10
01
10
00
10
11
10
10
00
11
11
00
00
11
00
10
00
01
00
00
11
10
11
00
01
10
00
10
00
00
00
11
10
01
01
10
01
01
10
01
01
00
11
10
00
00
00
00
10
10
01
00
11
00
00
10
10
00
10
11
10
11
01
10
11
10
10
01
10
00
01
00
00
10
00
10
10
01
00
10
10
01
10
00
01
10
10
11
10
00
11
10
00
00
10
10
00
11
00
10
00
10
10
00
00
11
10
11
01
00
10
10
11
10
10
00
00
10
10
00
11
11
10
00
01
01
11
00
11
00
10
00
00
10
11
00
00
01
00
01
10
11
00
00
11
10
00
00
00
00
10
11
00
01
10
00
11
10
00
11
10
01
10
10
00
10
11
11
01
00
00
10
10
00
01
10
10
10
10
00
10
10
01
00
00
10
10
00
10
10
01
10
00
00
10
00
00
10
01
10
00
00
10
10
11
10
01
10
11
00
10
00
00
11
00
10
10
00
10
10
00
00
10
00
00
00
00
01
01
11
01
10
10
00
10
10
00
10
00
01
10
01
10
00
01
10
10
01
01
10
10
10
00
01
00
00
11
00
10
11
10
10
00
00
00
10
10
11
10
10
01
10
10
01
00
11
10
10
01
01
10
01
00
10
00
01
00
00
00
00
00
00
10
10
10
00
11
00
00
10
10
00
10
01
10
11
00
10
01
10
00
00
10
00
01
10
10
11
11
10
11
10
01
10
00
01
00
00
11
11
11
11
10
01
00
00
01
00
01
10
11
00
00
00
11
11
10
10
00
10
10
00
00
01
00
10
00
10
10
10
10
01
01
01
00
11
10
01
00
10
10
00
00
10
10
10
00
01
10
00
00
01
00
00
11
10
00
10
00
11
10
11
00
01
10
10
10
10
01
00
00
10
00
10
10
10
10
11
00
00
00
10
00
01
00
11
11
10
00
00
00
00
11
10
11
10
11
11
01
01
10
11
00
00
11
01
11
01
10
10
10
00
01
11
11
01
01
01
01
00
01
00
10
00
11
11
00
10
01
00
01
00
01
11
10
10
11
00
00
00
10
00
10
11
00
10
01
10
10
11
10
00
01
10
00
01
10
10
11
00
11
10
10
00
11
11
01
01
11
00
00
11
00
00
00
10
10
11
00
00
01
01
10
00
10
01
10
00
00
00
10
10
00
00
01
00
11
11
10
10
10
11
00
10
10
00
11
10
10
10
00
10
00
10
00
00
10
00
10
10
01
11
00
10
11
01
00
10
00
11
11
00
11
01
00
01
10
10
01
00
10
10
10
00
10
11
11
00
01
11
00
00
00
10
01
00
11
11
11
00
01
10
11
00
10
11
00
00
10
10
00
11
11
00
11
11
00
11
00
10
10
00
00
11
11
01
10
00
01
01
00
10
00
10
01
00
11
00
01
01
11
10
00
10
11
00
00
10
11
00
10
00
11
01
10
10
00
00
00
01
10
10
00
10
00
01
00
00
10
10
01
11
11
11
01
10
01
01
01
00
00
10
11
01
10
01
00
00
11
10
01
10
10
11
00
10
10
10
00
00
10
00
10
10
10
10
10
00
10
10
10
00
10
01
11
01
00
01
01
10
11
00
00
10
10
11
01
10
00
00
10
01
11
01
10
10
10
10
01
01
00
11
10
00
10
01
00
11
00
01
00
11
10
11
00
01
00
10
10
00
01
11
01
11
01
10
01
10
10
00
10
10
10
10
00
01
11
01
00
10
00
00
00
11
10
01
11
10
00
01
10
10
01
00
00
10
00
10
01
01
11
00
11
00
10
11
00
00
11
11
01
01
10
11
11
11
11
01
00
11
00
01
11
11
01
00
11
10
10
00
00
00
10
10
00
10
00
00
10
00
11
10
01
00
00
00
10
00
10
11
00
01
01
10
11
00
01
10
11
00
01
11
11
11
00
00
11
11
00
10
10
00
01
01
10
10
00
11
00
10
00
01
00
10
01
01
10
00
10
10
00
10
11
00
11
01
01
10
11
11
01
00
00
10
10
10
00
11
11
01
10
10
01
00
01
10
00
00
10
00
00
00
01
00
10
01
10
10
10
10
00
00
10
10
01
01
11
00
11
11
00
10
00
10
10
00
10
10
01
11
00
00
10
11
11
10
00
01
10
11
01
00
00
11
11
01
10
11
00
10
11
00
01
10
00
01
10
10
01
01
00
10
11
10
10
00
01
01
01
11
10
01
10
11
00
00
10
10
01
00
10
00
00
10
00
10
11
00
00
10
00
10
10
10
00
01
01
10
10
00
11
10
00
00
10
10
10
01
00
11
10
10
11
11
11
00
11
11
00
11
01
00
10
00
01
10
11
00
10
11
00
00
11
10
00
10
10
10
01
11
10
11
00
00
01
00
00
10
01
00
01
10
10
10
00
01
00
00
10
00
00
00
10
10
10
00
00
11
01
01
10
01
01
10
10
00
10
00
01
00
01
10
11
01
00
10
00
00
10
00
10
11
01
01
00
01
10
01
10
10
01
00
10
10
00
00
10
00
10
01
10
01
00
00
10
00
00
10
00
11
00
11
00
10
10
00
01
00
00
10
11
10
11
00
00
10
00
10
01
00
10
00
00
11
00
00
10
11
01
01
10
10
01
10
00
10
10
11
00
10
10
00
10
00
10
10
00
11
10
10
00
01
00
10
10
00
01
10
10
11
00
10
00
01
01
11
10
00
10
10
00
10
01
00
11
10
10
10
10
00
00
10
10
00
11
01
11
10
10
00
01
00
01
10
10
00
10
11
00
00
10
01
00
10
11
00
11
01
00
00
01
11
00
10
10
10
00
00
10
10
00
11
01
11
11
10
00
11
10
01
00
00
11
10
00
00
10
10
10
00
01
10
01
10
10
10
00
00
11
10
01
11
10
10
01
00
10
00
00
10
00
00
00
00
11
11
00
01
01
01
00
10
10
10
10
11
01
01
01
00
11
00
11
00
10
10
00
00
10
11
00
00
10
10
11
10
11
00
00
01
10
10
01
00
10
00
10
01
10
10
10
11
00
00
10
10
00
00
00
10
10
01
10
00
00
01
10
10
01
01
11
11
00
10
10
10
10
11
00
01
10
01
00
11
01
00
11
10
00
00
00
00
01
00
10
10
00
01
11
10
00
00
10
10
00
00
00
00
10
01
10
00
00
00
00
00
01
10
11
11
01
10
01
10
00
11
00
00
11
10
01
10
00
00
11
01
10
00
11
00
01
10
11
10
00
00
10
11
00
00
10
11
00
10
11
00
00
00
01
10
01
00
11
11
01
11
01
00
11
00
01
00
11
10
10
00
00
00
10
10
00
10
00
10
10
10
11
11
10
10
11
01
10
01
00
10
10
00
00
10
10
00
11
10
00
00
10
00
00
00
01
11
10
11
10
00
01
00
00
10
00
00
11
11
10
10
11
11
01
00
00
00
00
11
00
10
10
01
10
10
10
00
01
11
10
10
00
11
11
11
11
01
00
00
00
10
10
10
00
00
01
10
00
11
10
10
00
01
00
00
00
10
01
10
10
00
11
11
00
11
11
01
01
00
11
00
00
10
01
10
01
00
10
10
01
00
00
00
10
01
01
11
00
11
10
00
10
00
00
00
10
10
11
00
01
00
00
01
00
00
00
00
10
00
10
10
01
00
10
11
01
00
00
10
11
01
00
11
00
00
11
00
00
00
00
10
01
01
10
11
01
10
10
00
10
10
10
00
00
10
10
10
00
10
01
00
10
00
11
01
11
01
00
00
11
10
00
10
01
10
10
01
10
10
10
10
10
00
00
11
10
00
00
11
10
00
10
10
11
00
00
10
01
10
11
00
00
10
11
00
10
11
01
00
10
10
00
11
10
01
10
00
01
10
10
01
10
11
10
00
00
01
10
10
01
01
01
10
10
00
00
11
10
10
00
00
00
01
00
10
01
01
00
10
10
10
00
01
10
01
00
10
10
00
00
00
10
10
10
11
10
00
11
00
00
10
11
00
11
11
10
10
10
01
00
10
10
01
00
00
00
10
11
01
11
00
10
11
00
00
00
10
10
00
11
11
00
11
10
10
11
00
01
00
11
10
10
00
00
00
11
01
00
01
10
00
01
00
11
10
00
01
00
11
11
10
01
00
11
11
00
01
10
11
00
10
11
01
01
10
00
10
10
00
00
11
10
10
01
11
10
10
11
00
00
11
10
01
10
11
10
10
01
00
00
11
01
00
01
01
10
10
00
10
10
10
00
10
11
01
00
01
11
10
00
00
00
10
11
00
10
10
11
01
01
00
01
01
11
00
00
01
10
10
01
00
11
11
01
00
00
10
10
01
00
10
10
11
00
00
10
01
00
00
01
10
10
11
10
00
00
00
10
00
00
01
11
11
01
01
00
10
10
11
10
00
00
10
00
00
10
10
01
01
10
00
00
00
10
10
01
00
10
10
00
10
00
11
01
11
10
10
00
00
11
10
00
00
10
11
00
10
00
10
10
10
11
00
10
00
10
00
10
00
10
11
00
10
10
10
00
11
00
00
00
10
01
10
11
00
01
11
00
01
00
00
11
10
11
10
10
00
00
10
00
00
10
11
00
00
00
00
11
10
00
01
11
01
00
11
10
00
11
00
10
10
00
10
00
00
01
10
10
10
11
01
10
10
10
10
11
11
10
11
01
10
01
10
00
00
10
10
10
10
00
01
11
11
10
10
00
00
10
01
00
00
10
10
00
11
10
00
00
10
00
11
11
01
11
11
00
10
00
00
01
00
10
10
11
10
00
10
10
10
01
10
01
00
00
01
10
10
11
00
01
10
10
10
11
00
11
11
11
10
01
10
01
11
01
00
10
01
11
10
01
01
11
01
10
01
01
10
11
00
00
10
10
10
10
10
01
00
00
10
00
00
10
10
11
11
00
00
10
00
00
00
01
01
00
10
00
00
10
10
00
11
01
00
01
01
11
00
01
00
01
00
10
10
00
00
01
10
10
00
10
11
00
10
10
00
00
10
00
00
11
00
11
11
00
10
10
00
00
10
10
00
10
10
11
00
01
00
11
01
11
10
10
00
01
10
11
01
01
00
00
11
00
00
10
00
10
10
00
00
10
10
10
00
01
11
01
11
01
11
00
00
00
00
11
10
10
00
11
10
10
10
00
01
00
00
10
01
00
00
10
10
01
10
10
11
01
01
10
00
01
00
10
11
00
01
10
00
00
10
10
10
01
00
00
11
00
01
10
10
10
00
11
11
10
01
10
11
01
00
01
10
10
00
11
00
00
11
00
10
00
00
10
10
00
01
01
10
00
00
00
10
10
00
11
01
01
11
00
10
00
00
01
11
11
00
00
10
10
00
10
10
01
01
10
10
00
00
00
11
01
00
10
00
10
11
00
01
10
10
00
10
00
11
00
11
10
01
00
11
00
01
10
11
10
10
11
00
11
10
00
01
10
10
00
10
10
00
00
00
00
10
00
10
10
01
00
00
10
01
10
11
00
11
00
10
10
00
11
10
01
00
10
01
00
10
00
00
10
00
00
10
11
00
00
00
10
11
00
10
11
11
01
00
10
00
11
01
00
11
01
00
11
10
11
00
11
01
00
10
10
01
00
11
10
01
10
11
00
00
10
11
11
10
01
01
10
00
01
10
00
00
10
00
11
10
01
10
11
10
10
00
00
00
11
10
01
01
00
10
01
10
00
00
01
10
10
10
10
00
10
00
10
10
00
01
10
00
01
10
10
00
00
01
11
00
10
00
00
10
10
00
01
10
10
10
11
11
00
10
10
01
01
11
00
10
01
01
00
10
10
11
00
01
00
11
00
10
00
00
10
10
10
01
00
10
11
10
01
11
01
11
11
10
00
00
10
00
01
10
11
00
10
00
11
10
10
11
00
01
00
01
10
00
00
10
01
00
10
10
00
00
11
10
01
11
10
10
11
01
11
00
00
10
10
00
11
00
10
01
11
10
10
10
00
01
10
01
00
00
11
10
10
10
00
00
10
10
11
00
00
11
00
10
10
01
01
01
10
10
10
00
10
00
00
01
11
11
10
00
10
10
10
01
01
11
00
00
00
01
10
00
10
10
00
00
10
11
11
00
11
10
00
00
00
11
00
00
10
01
10
00
10
10
01
00
01
01
11
11
01
00
11
10
11
00
10
10
01
00
10
10
01
00
11
10
00
00
00
10
00
11
11
01
11
01
01
10
10
01
10
10
00
00
00
11
00
00
10
10
11
10
11
10
00
10
01
11
01
10
10
10
00
10
01
10
10
11
00
00
00
00
10
00
00
11
10
00
00
00
00
10
00
00
10
01
11
10
11
00
10
00
00
10
11
00
10
01
00
01
00
10
00
01
00
10
11
00
10
00
10
01
11
00
10
10
00
01
10
01
11
10
10
11
01
10
10
01
00
10
11
11
00
10
11
00
10
00
10
10
10
10
01
00
00
11
11
00
00
10
01
00
01
10
10
00
10
10
00
00
10
11
01
01
11
00
00
10
10
00
01
11
00
10
11
11
01
11
01
01
10
00
00
11
10
01
01
10
00
01
10
10
10
00
10
10
10
00
01
10
00
10
10
10
00
10
10
01
00
00
10
10
10
10
00
10
01
10
00
10
11
00
11
00
00
11
10
00
01
01
10
00
00
10
11
00
11
10
11
01
01
00
01
10
10
10
00
01
10
10
10
00
01
10
10
10
00
00
10
10
00
10
10
10
01
01
01
11
11
00
10
10
00
11
11
00
11
10
10
10
00
11
10
01
00
01
10
00
01
10
11
00
00
10
10
10
01
01
00
00
11
11
00
00
10
00
01
00
01
10
00
10
00
00
10
00
11
00
10
10
00
00
10
00
01
01
11
11
00
11
00
11
10
00
01
00
10
10
00
00
10
11
01
10
01
00
10
11
10
11
00
10
00
00
00
00
00
11
10
10
10
10
11
00
00
10
10
00
00
10
00
00
10
10
01
11
10
00
11
10
01
00
11
10
00
00
10
10
00
10
01
11
11
01
10
10
10
10
10
01
01
10
10
01
00
11
00
00
11
00
11
10
10
11
00
10
10
00
01
00
01
10
10
00
10
10
10
11
00
10
11
11
00
11
10
00
01
10
00
10
00
01
10
10
00
11
00
01
00
10
10
10
00
10
10
00
00
10
00
11
10
01
01
00
10
10
00
00
00
11
10
10
00
11
10
00
00
10
10
10
01
01
00
01
01
10
01
10
10
10
01
01
11
10
00
01
00
10
01
00
10
01
00
01
10
11
10
00
01
10
00
00
10
10
00
11
00
10
11
00
10
00
00
11
00
00
00
10
00
10
11
00
11
10
01
00
01
10
11
00
11
00
00
11
10
01
10
10
01
00
10
10
11
00
10
00
01
11
10
11
00
01
10
11
11
01
00
10
10
00
01
10
00
10
01
00
11
10
11
00
10
01
00
10
00
00
01
10
11
11
11
11
00
10
11
10
00
10
11
00
00
00
00
10
00
00
00
11
10
10
10
00
11
10
00
00
11
10
10
10
10
11
01
00
00
11
00
00
10
00
10
10
10
00
00
10
01
00
10
00
01
00
00
00
11
00
11
01
01
11
10
10
11
00
10
11
00
01
11
10
01
10
00
01
00
10
10
00
00
00
00
11
10
00
00
00
11
10
01
11
00
00
01
11
00
00
10
00
00
10
00
00
11
11
10
10
10
00
10
10
11
00
10
10
10
11
00
00
01
10
10
11
11
00
10
10
10
10
00
01
10
11
10
00
00
10
00
10
10
00
10
00
10
00
10
00
11
00
00
11
00
01
11
10
00
00
10
11
01
00
00
00
01
10
00
00
10
11
00
11
00
00
10
11
01
00
10
01
11
11
10
10
00
00
00
10
11
00
00
10
10
10
01
01
10
01
10
10
11
11
00
00
01
11
10
00
00
11
11
01
11
10
01
00
00
10
11
00
11
00
01
01
00
10
01
10
10
01
00
10
10
10
00
10
00
10
10
01
00
00
10
00
00
00
10
11
00
11
00
10
10
00
01
10
00
00
01
11
11
10
00
00
00
00
00
11
01
10
11
00
00
00
00
10
01
00
00
11
10
00
00
11
11
10
10
10
00
00
10
11
00
11
01
01
00
00
10
00
00
10
10
00
10
11
00
01
10
10
01
00
00
00
00
10
11
00
10
01
00
10
00
11
11
01
01
01
00
10
10
00
00
00
10
00
00
10
11
00
01
01
00
10
00
11
00
11
10
00
01
10
00
10
10
01
00
00
00
00
11
10
01
10
00
01
01
01
11
00
10
10
00
10
00
00
01
01
10
00
00
10
11
00
01
10
01
11
00
11
00
00
10
10
00
00
10
00
10
10
11
11
10
00
01
10
00
01
00
10
11
00
11
01
01
11
00
01
11
01
10
10
00
10
00
00
00
10
11
10
10
11
00
00
11
00
11
01
11
00
00
10
10
00
00
11
10
01
11
00
01
11
10
00
10
10
00
00
10
10
00
10
10
10
01
10
00
11
10
01
00
11
00
10
10
00
11
10
10
01
00
10
10
11
00
01
10
01
10
11
00
00
00
10
10
00
00
10
10
10
00
00
11
10
01
00
10
11
00
00
00
10
10
01
01
01
10
01
00
01
11
10
01
00
10
10
00
00
11
00
00
01
11
10
10
10
00
00
10
10
00
00
11
00
00
01
11
10
00
00
10
01
00
00
00
01
00
11
00
10
00
10
01
01
10
10
00
00
10
10
10
11
00
11
00
01
10
11
10
00
10
11
01
01
10
11
00
00
01
00
01
10
10
10
00
01
01
01
00
11
11
00
01
10
00
11
10
00
00
10
00
10
10
01
11
11
11
00
10
11
11
11
10
00
00
00
10
01
00
10
11
10
11
11
00
11
10
00
00
10
10
00
00
10
11
11
00
00
01
00
10
00
01
01
00
00
00
10
01
10
11
00
10
10
00
10
10
10
01
00
00
00
11
00
10
11
10
00
11
10
01
11
10
00
11
10
00
10
01
01
00
11
10
10
01
00
00
10
00
00
10
00
01
01
10
00
10
10
00
00
00
10
10
10
11
01
00
10
11
10
01
11
00
01
11
10
00
00
10
10
10
01
10
11
00
00
11
10
00
10
10
00
00
10
11
10
00
00
00
10
10
01
10
11
10
11
00
00
00
00
11
11
11
01
10
00
00
10
11
10
00
00
11
10
10
10
10
01
00
00
10
00
00
01
00
10
01
00
11
10
00
00
00
00
10
10
00
11
10
10
10
00
00
10
10
00
10
10
10
00
10
00
00
00
01
10
10
01
10
00
00
10
10
00
10
11
00
11
00
00
00
10
11
00
10
11
10
00
01
00
00
01
00
10
11
00
00
10
10
00
01
01
10
10
00
10
00
10
01
00
10
00
01
01
01
01
10
11
01
10
10
00
00
00
00
10
10
00
11
10
11
00
11
10
01
00
00
10
10
01
00
00
10
01
10
00
11
11
11
00
10
10
10
01
00
00
10
00
10
00
00
10
10
01
11
01
11
11
00
11
00
00
10
10
00
01
10
10
00
00
00
10
10
10
00
00
00
10
10
00
00
00
01
00
00
11
01
10
10
10
00
00
10
10
10
11
01
00
01
10
10
11
00
10
10
00
00
00
00
10
10
10
10
01
01
00
10
10
00
10
10
01
10
00
00
00
11
10
01
10
11
00
10
10
01
00
01
10
11
00
00
00
10
10
01
00
10
01
11
10
01
10
11
10
01
00
10
11
01
01
10
10
00
00
00
10
00
10
10
10
01
10
00
10
00
00
00
00
01
01
10
01
10
10
00
10
10
01
00
10
10
01
11
10
00
01
10
10
10
10
01
01
10
00
00
11
00
11
10
01
00
10
00
10
00
01
10
10
00
00
00
10
01
10
11
00
10
01
01
10
10
11
01
00
01
00
10
11
10
11
00
01
10
10
10
00
01
00
10
11
10
10
10
00
01
10
01
00
10
10
11
01
01
10
10
11
11
00
10
01
00
10
10
11
01
00
11
01
01
10
10
01
00
00
10
11
00
10
11
01
11
01
11
10
10
10
01
00
00
11
10
00
10
01
00
00
00
10
11
10
00
00
01
00
11
11
00
00
01
00
10
01
00
11
11
00
01
10
10
01
01
10
10
00
10
10
00
00
10
11
01
01
11
10
10
01
01
10
00
11
10
00
00
00
10
00
10
10
00
00
10
01
10
00
00
10
00
00
01
11
00
00
10
00
00
10
01
00
10
10
00
10
01
00
01
11
10
00
00
11
10
00
00
10
01
10
11
01
00
11
11
00
11
00
00
00
10
01
00
11
10
10
00
10
11
11
10
11
10
00
00
10
11
10
10
00
00
01
11
10
00
00
10
00
01
10
01
10
01
00
00
10
10
11
01
10
01
10
11
00
01
01
00
11
10
00
01
00
11
01
00
10
01
00
00
10
10
00
00
00
10
10
00
11
10
00
10
11
10
01
10
00
00
11
11
00
00
00
00
11
10
10
00
00
11
00
11
10
00
01
00
11
00
00
10
11
00
11
01
00
01
10
00
00
01
10
10
10
00
01
00
01
11
01
00
11
10
00
00
00
10
11
10
01
01
00
10
11
10
01
10
10
10
10
10
10
00
00
00
01
00
11
11
11
10
01
10
10
00
00
10
11
00
00
11
11
11
01
00
11
01
00
10
00
01
00
00
01
11
11
11
10
00
01
01
10
10
00
00
00
11
10
10
10
00
01
01
10
10
10
10
00
00
00
10
10
01
00
10
10
00
00
00
10
00
00
11
10
00
00
10
01
00
00
01
10
10
11
10
01
10
10
11
11
00
11
00
00
11
01
01
00
00
11
10
00
00
00
10
10
10
10
11
01
10
00
00
11
11
01
00
00
10
00
10
01
01
10
10
00
00
01
00
00
10
11
00
10
11
00
01
10
11
00
11
01
11
10
00
00
10
00
01
10
10
00
10
00
00
01
00
00
11
00
00
00
10
11
10
10
00
00
11
01
00
00
01
10
10
00
10
10
00
00
01
00
10
00
00
00
10
01
10
10
01
00
00
10
11
11
10
00
10
11
00
01
10
11
10
00
10
01
10
10
00
10
00
10
00
01
10
00
10
00
10
01
00
00
00
00
10
10
00
01
00
10
00
11
00
01
00
01
00
10
10
10
00
00
01
10
00
01
01
10
01
00
10
01
00
01
10
01
00
10
01
00
00
00
11
10
10
01
01
10
10
00
10
10
01
00
10
00
11
10
00
01
00
10
01
00
11
01
00
01
10
10
10
01
10
10
01
10
11
11
11
00
11
10
01
00
10
10
00
01
00
01
01
11
00
11
10
01
01
11
01
01
10
10
10
00
01
10
10
00
00
10
11
01
01
11
10
10
00
01
01
01
11
10
10
01
11
11
11
00
01
00
00
11
00
01
00
10
11
10
01
00
11
00
01
00
11
10
00
00
10
10
10
10
01
01
11
10
00
10
00
10
01
10
11
00
01
01
11
00
00
11
10
10
00
00
11
10
11
01
01
10
10
00
10
11
00
10
11
00
00
10
00
00
00
10
11
01
00
11
10
00
00
10
11
10
10
00
00
00
00
11
10
10
01
00
11
11
10
10
00
00
11
01
00
10
00
00
00
01
11
01
01
10
01
00
01
10
00
00
11
10
00
00
10
10
00
10
00
10
10
01
10
00
01
11
10
01
00
10
01
00
00
11
11
00
11
10
01
01
10
10
00
10
11
00
00
11
10
00
00
00
10
00
00
10
00
01
00
01
11
11
00
00
00
10
10
00
10
10
00
10
10
00
10
10
00
00
10
10
00
10
10
01
00
11
00
10
00
11
01
11
00
01
11
11
10
11
00
01
10
11
00
01
00
11
10
01
10
10
10
01
10
11
00
00
00
10
00
00
00
11
00
01
00
11
10
11
00
10
11
00
10
01
10
10
10
00
01
01
10
00
00
10
10
10
11
00
11
10
00
10
11
11
00
00
10
01
00
11
10
00
10
00
01
10
00
01
00
01
10
01
00
00
10
10
10
10
01
01
11
00
00
10
00
00
10
10
00
10
10
00
00
00
11
00
11
00
10
10
00
00
00
10
10
10
11
00
00
11
00
01
00
10
01
11
10
00
01
01
10
10
00
10
10
00
00
11
00
00
10
00
01
01
01
10
01
00
10
00
00
00
10
10
00
00
10
10
10
00
11
00
10
10
00
00
01
01
01
00
10
10
00
00
00
10
10
00
00
10
10
01
11
00
11
11
10
11
00
10
01
00
00
10
10
00
01
10
10
00
10
00
11
00
01
10
00
10
00
10
01
00
11
00
00
10
10
01
10
10
00
00
00
10
01
11
01
01
10
00
01
00
11
11
10
10
01
00
10
00
01
10
11
00
10
11
00
00
11
10
00
01
11
00
10
00
10
00
00
10
10
00
10
00
00
00
00
10
00
10
00
11
10
00
11
10
10
00
00
01
00
00
01
10
00
00
00
11
00
10
01
10
00
11
11
01
10
10
00
10
11
00
10
10
00
10
01
00
10
10
01
10
11
10
00
11
00
00
00
00
10
10
10
01
00
10
00
00
11
01
00
10
11
00
10
11
01
00
11
00
10
00
11
01
10
10
01
11
00
10
10
00
00
11
01
00
00
11
10
11
10
00
00
11
11
01
11
01
01
11
00
11
11
00
00
10
00
01
11
11
00
11
10
00
00
10
10
11
01
00
00
10
00
01
10
10
00
10
11
00
11
11
10
01
00
00
11
10
01
01
10
10
10
10
10
01
00
10
10
00
11
10
00
00
00
10
10
01
11
01
00
00
10
00
00
00
11
10
10
01
01
01
00
10
10
10
10
10
11
00
10
11
10
00
01
11
11
10
01
10
01
10
00
00
00
11
00
11
11
01
11
10
01
10
01
10
01
00
00
11
10
11
00
10
11
11
00
00
11
00
00
00
00
10
10
11
00
10
10
00
10
11
01
00
10
10
00
10
00
10
10
00
10
10
10
10
10
00
01
00
01
01
10
00
01
10
00
10
10
11
00
00
10
11
01
11
01
01
10
10
11
00
01
10
10
00
11
01
11
10
11
00
01
00
00
11
10
01
01
11
10
01
01
11
11
01
00
10
11
00
00
11
10
00
00
11
00
10
10
00
10
01
10
10
11
10
00
11
11
01
00
01
11
00
00
00
01
11
00
10
11
01
10
11
11
00
10
00
10
10
01
01
11
00
01
10
01
10
10
00
00
01
10
00
01
11
11
10
10
11
11
01
01
00
10
10
00
00
01
10
00
01
11
00
01
00
10
11
10
10
00
00
10
11
10
01
10
10
00
01
00
11
01
10
10
00
01
10
11
00
00
00
11
11
10
01
00
10
10
01
00
10
10
01
00
11
10
11
00
00
10
10
10
10
00
00
00
01
10
10
00
11
11
01
01
11
00
00
10
10
10
01
00
00
00
10
01
10
00
10
00
00
11
00
00
10
10
10
10
01
00
10
01
10
11
10
00
10
00
01
11
01
01
00
11
10
00
00
10
10
00
10
11
10
11
00
00
00
00
00
10
00
00
11
10
10
00
10
10
00
00
00
00
10
00
01
10
10
00
10
10
10
10
01
01
10
00
10
01
01
00
01
10
11
10
01
10
10
10
01
01
11
11
00
00
11
10
10
00
00
10
00
01
10
00
00
11
00
11
10
10
10
10
00
00
10
10
10
01
00
00
10
10
01
10
00
00
10
10
00
10
01
01
11
01
11
01
01
01
01
10
11
10
00
00
10
11
01
10
00
01
00
10
10
11
00
11
10
11
10
00
10
00
10
10
10
00
00
10
01
00
10
00
00
10
00
10
00
11
00
00
01
00
10
10
10
00
00
10
11
00
11
01
00
10
01
00
00
10
10
10
11
01
00
00
10
10
11
01
01
00
10
10
10
10
00
01
10
10
00
10
10
10
00
00
00
01
11
11
01
00
10
00
10
11
00
01
10
11
00
00
00
11
01
00
10
10
10
01
10
10
00
00
01
10
00
00
10
10
11
01
11
11
00
10
10
10
01
01
11
10
00
00
11
10
10
00
00
00
10
11
00
00
01
11
00
10
00
00
10
00
00
10
10
01
01
01
10
10
10
11
01
01
10
11
01
00
01
11
10
10
01
01
00
10
10
00
00
11
01
10
11
01
00
10
10
01
10
10
00
00
00
00
11
11
01
11
00
10
10
10
11
10
00
00
10
00
00
00
11
00
01
11
10
01
01
01
01
00
10
00
00
10
10
00
10
10
00
10
01
10
11
00
11
10
00
01
10
11
10
01
01
00
00
00
01
01
00
10
10
10
10
00
10
00
00
10
10
00
00
01
00
10
00
11
01
11
01
11
10
00
10
10
11
00
01
00
11
00
00
01
10
10
01
10
10
01
00
10
10
10
01
00
10
00
10
01
10
10
10
00
10
10
10
10
00
00
00
11
00
00
11
01
00
10
11
00
11
00
01
10
10
10
10
00
00
10
10
10
00
01
10
11
11
10
10
10
00
00
00
11
00
01
10
00
00
00
11
01
10
11
00
11
11
11
00
00
00
11
10
01
11
10
10
10
10
00
00
11
10
00
00
11
00
00
01
00
10
10
00
11
01
01
10
00
10
10
00
00
10
10
01
00
00
10
10
00
10
10
00
00
10
10
10
10
00
11
10
11
10
00
00
01
10
10
00
00
00
10
10
00
00
10
00
01
01
11
11
11
01
00
00
11
00
01
11
10
01
00
10
11
00
00
00
10
10
00
10
10
00
11
00
10
00
01
10
10
11
10
00
01
11
01
00
01
10
00
00
11
01
00
01
10
11
10
01
11
01
01
10
01
00
10
10
10
00
10
10
10
10
01
00
00
00
11
10
00
01
10
00
00
11
00
00
10
00
00
10
10
10
10
10
01
11
10
00
10
00
10
01
00
10
10
00
10
11
10
10
11
10
00
10
00
00
01
00
10
10
10
00
10
11
10
10
00
11
10
11
00
00
00
00
01
10
11
00
01
01
10
11
00
00
10
00
01
11
00
10
11
10
01
01
10
10
10
10
11
00
01
01
10
01
01
10
00
01
00
10
01
00
11
10
11
10
00
10
10
01
00
10
10
10
11
00
01
10
00
11
00
10
10
00
00
01
10
00
10
11
10
01
01
11
00
00
01
01
10
11
10
10
10
00
10
00
10
00
00
10
10
11
11
00
00
10
00
10
01
00
11
10
11
01
00
10
10
10
00
00
10
10
00
00
00
00
10
10
10
00
01
00
11
00
00
01
11
11
11
10
00
00
00
00
00
11
00
10
00
11
10
00
10
01
00
10
11
11
11
00
01
10
10
11
01
00
01
00
10
01
00
10
00
11
00
00
00
00
01
10
01
00
10
01
10
10
10
11
01
10
00
00
11
00
11
01
01
10
00
00
10
11
01
10
10
10
11
11
00
01
10
01
10
11
10
00
10
10
00
10
10
00
00
00
10
00
00
00
10
00
11
01
10
01
10
00
00
01
01
00
10
10
00
00
10
00
10
10
00
11
00
10
00
01
10
10
00
10
00
00
00
11
00
01
11
10
01
10
11
10
11
01
10
00
01
01
00
10
00
10
10
11
01
11
11
00
00
01
10
10
01
11
10
11
11
00
10
10
10
00
01
10
01
00
10
00
11
00
11
10
01
01
00
01
10
11
10
00
00
10
10
00
00
10
10
10
00
00
11
00
01
11
11
11
10
11
10
01
00
11
11
00
11
10
00
00
00
10
10
01
00
10
10
11
00
11
00
00
10
11
10
00
11
00
11
00
01
11
01
00
10
11
11
11
01
00
10
10
00
11
11
01
00
10
11
10
00
00
00
11
10
10
00
10
10
10
01
00
01
10
11
10
00
00
11
10
00
00
00
00
00
10
10
00
00
01
01
00
00
10
10
11
00
10
10
00
01
00
01
10
01
00
00
10
00
00
10
11
01
10
10
01
01
01
10
00
00
11
10
10
11
01
10
10
00
11
10
01
00
00
01
10
11
10
10
01
00
11
01
01
10
00
00
00
11
10
11
00
10
00
10
00
01
10
00
10
01
00
00
00
11
01
10
00
11
10
00
00
00
10
00
00
01
11
10
11
01
00
01
00
01
00
00
10
10
11
00
10
00
10
10
01
00
11
00
00
11
00
10
10
00
01
01
10
01
00
10
10
10
01
00
11
11
10
00
11
11
10
11
00
00
00
01
10
11
00
00
11
01
10
10
00
01
01
10
00
00
10
10
10
11
00
01
00
10
10
10
01
11
00
00
10
00
01
00
10
10
10
01
00
11
10
10
00
10
00
00
10
10
10
01
01
01
11
00
11
01
01
10
10
01
00
00
10
11
01
10
00
11
10
11
01
10
01
00
00
00
00
10
10
10
00
10
00
01
11
11
01
00
00
11
10
10
01
00
10
10
00
11
10
01
00
00
11
10
10
00
11
11
00
00
10
10
11
00
00
11
10
11
10
10
00
10
00
00
10
00
00
01
10
01
00
00
01
10
00
00
00
10
00
10
10
00
00
00
11
00
00
01
00
10
00
01
10
10
11
00
00
10
00
01
00
01
10
00
00
10
00
10
00
00
01
00
11
11
10
11
00
11
00
01
10
10
10
00
01
00
00
10
01
01
10
10
10
11
10
01
10
01
00
10
11
00
00
11
10
01
01
00
00
01
10
10
10
00
00
10
01
10
11
01
00
10
11
01
10
00
00
00
10
01
10
00
00
10
01
00
11
01
10
10
00
01
10
00
01
11
11
00
10
00
10
11
11
11
01
10
00
10
00
01
11
10
00
11
01
01
10
00
01
01
10
10
00
00
10
10
00
10
10
00
00
11
10
11
00
01
10
00
00
10
00
00
00
10
01
01
00
10
01
11
10
01
00
00
10
00
01
10
11
10
01
00
00
00
10
00
00
10
10
10
10
10
11
00
00
10
00
10
00
10
01
00
10
00
01
00
00
10
00
01
01
01
10
00
00
11
01
00
11
00
01
00
11
10
11
00
00
10
01
11
10
10
10
00
10
00
10
01
11
00
00
10
01
00
11
10
00
01
00
00
11
10
00
00
01
11
11
01
11
01
00
00
00
00
10
10
00
00
10
10
10
00
00
10
00
01
00
10
00
10
10
11
00
00
11
00
10
11
01
10
11
11
10
11
00
00
00
10
01
00
10
00
01
01
11
00
10
01
10
00
01
10
11
00
01
11
10
00
11
10
10
00
01
00
11
10
10
11
01
11
10
00
00
00
10
10
01
00
10
11
10
10
10
00
10
10
11
00
00
01
01
01
10
00
11
10
01
10
10
01
01
10
10
10
00
11
11
00
10
00
00
10
00
01
01
00
10
10
00
00
10
01
00
10
01
11
10
10
10
11
11
10
01
00
01
10
00
01
10
10
00
10
00
00
00
10
10
11
11
00
10
10
00
00
10
00
11
10
00
00
00
00
00
10
11
10
10
00
01
00
00
10
00
00
00
10
10
00
00
00
01
00
10
00
00
00
10
10
11
00
01
00
00
01
00
10
11
00
00
01
11
10
11
01
00
11
01
10
00
00
01
00
01
11
00
01
10
10
10
11
10
00
10
11
01
10
00
10
01
10
00
01
11
10
00
10
00
00
00
10
11
10
00
00
10
11
01
00
10
00
01
00
00
10
01
00
00
10
11
11
10
01
01
10
00
10
10
00
00
00
11
10
01
00
11
01
11
00
00
10
10
11
01
01
10
00
10
00
01
01
10
11
00
00
11
01
00
10
00
00
10
10
11
00
01
10
11
10
11
01
10
10
10
01
01
00
00
01
00
11
10
11
10
10
00
10
10
01
01
10
00
00
01
10
01
01
11
10
00
10
11
00
00
00
01
11
11
11
11
10
11
00
00
10
10
10
00
00
00
11
10
10
11
00
00
00
10
00
00
10
10
10
01
10
10
00
01
10
01
11
11
01
10
01
00
11
11
10
01
00
10
10
00
00
10
10
00
10
00
00
00
10
00
00
10
11
10
10
00
11
01
10
00
11
11
00
11
10
11
00
11
00
11
11
00
00
10
00
01
01
11
00
00
10
10
01
10
00
10
10
00
10
10
10
00
00
00
10
01
10
11
00
00
00
01
00
00
11
11
11
00
11
00
00
10
10
00
00
00
10
01
01
11
11
11
00
00
01
11
00
01
10
01
00
10
11
11
01
00
00
11
10
10
01
01
00
11
00
00
11
11
10
01
10
10
10
10
01
00
10
10
00
00
00
00
00
01
10
11
10
01
10
10
10
01
00
00
01
01
00
10
10
00
10
10
00
01
01
01
11
01
10
01
00
10
00
00
11
10
01
00
11
11
00
10
10
00
10
00
00
10
11
00
10
01
00
00
10
10
01
10
00
00
11
11
01
10
01
00
10
10
11
10
00
10
10
11
00
10
00
10
10
11
10
10
00
10
11
01
00
10
10
10
01
00
00
10
10
00
10
11
10
01
00
00
10
10
01
00
01
00
00
10
10
10
10
10
11
01
11
01
11
10
01
01
00
00
00
00
11
10
11
10
11
00
00
11
10
01
01
10
10
00
10
10
01
10
01
01
11
10
10
10
00
00
10
00
00
10
10
10
10
01
11
11
00
01
01
00
10
01
01
11
10
00
10
10
00
01
10
10
10
11
10
10
11
00
11
10
00
01
10
00
01
01
00
10
00
10
10
01
11
00
00
01
11
00
01
11
10
00
00
11
11
00
01
01
10
00
00
11
00
00
11
10
01
00
10
00
00
11
00
00
10
10
10
10
11
11
10
11
11
00
10
10
00
01
01
10
10
00
00
10
00
00
01
10
00
11
00
10
10
00
00
00
10
10
10
10
00
00
01
00
11
00
01
11
10
00
00
01
11
11
01
10
10
10
11
00
01
10
11
00
10
00
00
10
11
11
00
00
01
10
11
10
00
00
11
00
10
10
01
01
10
01
00
10
10
00
10
00
10
10
00
01
00
01
10
11
10
10
00
00
10
11
11
00
00
11
00
10
01
00
11
10
11
00
00
10
00
00
10
10
11
10
01
00
11
11
01
10
00
10
00
00
11
00
10
00
10
11
11
01
00
01
10
01
00
10
00
00
11
10
10
00
11
10
11
01
10
00
10
10
01
00
00
10
00
11
00
10
10
00
00
00
10
00
01
10
01
10
01
01
11
01
11
00
00
00
10
00
00
11
10
00
00
10
10
01
10
11
00
10
00
10
11
00
00
11
10
00
10
01
01
01
10
00
10
10
00
10
00
00
10
10
01
00
10
10
10
01
00
11
00
00
00
11
01
11
00
01
10
01
01
10
10
00
00
11
11
01
01
11
11
00
10
00
11
00
00
11
11
10
00
10
11
01
01
10
00
00
00
00
10
10
00
01
00
00
00
01
01
11
10
01
00
00
00
10
00
00
10
10
10
00
01
10
01
11
11
11
00
00
11
11
10
11
00
00
00
00
01
10
00
00
10
10
00
01
11
01
00
00
10
00
00
00
00
10
10
00
00
10
10
01
00
10
01
10
00
01
01
01
00
10
11
01
10
10
10
00
00
10
10
00
01
00
10
11
00
11
10
00
00
00
10
10
11
00
10
10
00
10
01
01
10
00
10
11
00
00
10
10
00
10
01
00
00
11
00
01
00
00
10
10
01
00
01
10
10
11
10
01
00
01
11
10
10
10
01
00
00
10
10
00
00
11
00
10
01
11
10
10
11
01
00
11
00
00
01
11
10
00
00
10
00
10
10
10
00
00
11
10
01
01
10
11
00
00
10
11
00
00
10
01
01
10
10
01
00
10
10
00
10
10
10
11
11
00
00
00
11
00
00
01
10
00
10
10
00
10
00
01
11
10
10
01
10
10
00
00
00
01
10
10
00
00
11
00
00
00
10
00
10
10
10
10
01
10
00
00
00
10
11
10
00
00
11
10
01
11
00
01
11
11
00
01
10
01
00
11
10
01
00
11
01
01
10
00
10
10
00
10
00
00
10
01
00
10
10
01
11
00
01
10
10
11
00
01
10
00
00
00
00
00
10
10
11
00
00
10
10
10
01
11
10
11
10
10
01
01
00
11
00
00
01
00
11
11
00
00
10
10
00
01
00
01
00
11
01
10
11
10
10
00
11
10
01
10
10
10
00
01
10
00
00
01
10
00
01
10
00
11
11
01
10
10
00
01
11
00
00
01
10
00
01
10
01
00
10
11
11
10
10
10
01
11
11
01
10
10
11
01
00
10
00
00
10
11
10
00
00
00
01
11
10
01
00
10
00
11
11
00
00
10
00
10
10
01
00
10
10
00
10
10
00
00
00
10
00
01
11
01
00
10
11
00
10
00
10
10
01
10
10
00
00
00
11
01
00
00
00
00
11
10
10
00
00
10
10
10
01
00
11
00
00
11
10
10
11
10
00
10
10
00
00
00
10
00
10
11
00
10
10
10
10
10
00
11
00
11
00
00
10
00
10
11
10
01
00
10
11
10
10
00
01
10
10
00
11
11
10
01
11
10
10
00
00
10
10
00
00
11
10
10
00
10
00
11
01
00
10
11
10
11
10
11
10
00
10
10
00
01
00
10
01
00
00
11
00
10
10
10
00
11
11
00
00
11
10
01
01
10
11
10
11
00
01
01
10
10
01
01
10
00
00
10
01
01
10
00
10
10
10
10
10
00
00
00
00
11
11
00
00
11
10
00
10
00
10
11
10
01
00
10
10
11
10
00
00
11
11
00
10
00
10
10
11
01
00
00
11
10
01
00
10
10
01
01
10
01
01
10
10
00
00
00
00
00
01
11
11
00
00
10
01
10
11
00
10
10
01
00
01
10
10
10
00
00
01
10
11
00
01
01
11
00
00
01
10
10
00
10
10
00
01
11
10
01
00
10
10
01
00
10
11
00
00
10
10
11
00
00
11
10
01
10
00
00
00
10
00
10
11
00
00
00
11
00
01
00
00
01
00
10
10
10
00
00
01
00
01
10
10
11
00
10
10
00
10
10
01
00
00
01
11
10
11
01
00
00
11
10
00
00
10
01
00
11
10
00
10
11
00
00
10
11
10
11
00
01
10
10
10
10
11
00
01
11
00
01
10
00
00
00
11
11
01
10
00
00
10
00
00
10
11
10
01
00
00
01
00
00
11
10
00
11
10
00
00
10
10
00
01
10
00
10
00
01
11
01
01
10
10
11
10
00
00
10
10
00
10
10
00
10
11
00
10
11
00
01
00
10
10
10
00
10
10
00
00
00
00
10
10
11
00
11
10
00
10
11
01
10
11
00
11
00
01
01
10
11
10
10
00
10
00
00
10
10
10
10
11
10
00
01
11
10
00
01
00
01
10
11
00
10
00
10
11
01
10
01
10
10
10
00
00
10
00
00
10
10
11
00
00
00
00
10
10
00
01
10
10
00
00
10
10
00
10
10
10
00
01
00
00
11
00
00
10
00
01
00
10
10
10
10
01
10
01
11
00
10
00
01
10
00
00
01
10
00
10
01
00
11
10
11
11
01
01
00
11
10
10
00
10
11
00
00
00
00
11
10
00
10
01
10
00
11
10
01
01
01
00
00
10
00
00
10
11
01
10
10
10
10
00
10
00
11
10
00
10
00
10
00
00
01
00
10
10
00
10
10
11
01
00
10
00
10
10
01
10
11
10
00
00
01
10
00
10
10
11
10
11
01
00
11
11
10
10
00
00
10
11
00
01
10
11
10
00
10
11
10
00
11
10
00
11
00
00
00
00
01
10
11
10
10
00
01
10
00
10
10
10
00
00
10
10
11
10
11
10
10
00
00
01
10
10
00
11
00
10
10
10
00
00
11
10
10
01
00
01
01
11
10
10
00
10
10
10
10
00
01
11
10
11
00
01
11
10
00
11
11
01
00
11
01
01
00
11
10
00
00
11
10
00
10
00
10
01
00
10
00
00
11
00
01
10
11
00
10
00
10
01
10
00
00
00
11
11
10
00
00
11
10
00
10
00
11
00
01
10
11
10
11
10
00
10
10
10
00
10
11
10
00
01
10
10
11
10
00
11
11
10
11
00
01
10
01
01
01
01
11
11
00
11
10
01
01
11
11
10
11
00
01
10
00
00
10
00
10
00
01
00
10
00
01
11
00
00
10
11
11
01
01
00
00
00
11
11
00
10
00
00
10
00
10
01
01
10
01
00
10
10
00
10
10
10
00
00
11
10
00
10
11
00
00
11
00
10
10
11
10
11
01
01
11
10
11
00
01
10
11
10
00
10
11
01
00
01
11
10
11
10
10
00
11
10
00
01
10
00
11
01
01
10
10
10
11
10
00
01
10
10
10
10
01
00
10
10
01
00
11
00
00
00
10
10
10
00
11
01
11
11
11
00
00
01
10
00
00
10
10
10
10
10
10
00
11
10
01
00
00
00
00
01
10
01
01
00
00
10
10
01
00
11
00
10
10
10
00
00
10
11
01
00
10
00
11
10
11
10
00
00
10
00
00
10
10
01
01
11
00
10
01
01
00
00
10
10
00
00
00
00
11
10
01
00
00
10
11
01
00
00
10
11
00
11
11
00
11
11
00
00
01
10
11
00
00
11
10
00
10
11
00
00
00
00
10
01
00
10
10
01
11
00
00
11
00
11
10
00
11
00
11
00
10
10
00
00
01
11
10
00
00
10
00
01
00
10
10
00
00
11
11
00
11
10
11
01
01
11
00
11
11
00
10
00
00
10
00
10
00
00
01
11
11
01
10
10
10
00
10
00
10
10
10
01
10
10
00
00
10
00
11
11
11
01
01
10
10
01
00
10
10
11
01
00
10
01
00
01
11
00
11
00
01
10
10
00
00
10
10
11
10
00
00
10
00
10
00
01
00
10
00
01
10
11
00
00
01
10
10
10
00
00
10
00
01
10
11
10
10
10
11
00
00
11
11
10
11
01
00
10
10
00
10
01
01
01
10
10
11
10
10
00
11
11
10
00
01
00
10
00
10
00
01
10
10
10
00
00
11
10
00
01
01
11
00
00
00
10
00
00
00
10
10
10
10
10
11
10
11
10
00
00
00
00
11
10
01
00
10
00
11
11
00
10
10
11
11
00
00
11
00
01
11
00
10
10
00
00
10
10
00
10
00
01
11
10
11
00
00
11
01
10
10
00
01
00
01
10
01
11
11
11
00
00
10
10
00
00
11
11
10
00
11
11
00
00
00
10
00
00
11
10
00
00
10
00
10
00
01
00
10
10
00
00
11
00
00
00
10
10
00
00
10
00
00
00
00
01
10
10
00
11
00
11
10
10
10
10
01
10
11
00
00
10
01
00
10
01
00
11
10
10
01
00
11
10
11
00
01
11
11
00
01
00
10
00
00
10
10
10
10
10
10
11
01
10
11
10
00
00
01
00
10
10
00
00
11
00
10
10
01
10
10
00
00
00
11
11
10
00
10
01
00
10
11
01
10
00
10
01
10
10
00
11
00
00
11
10
10
00
00
11
10
01
00
10
11
00
10
00
00
00
11
10
00
10
00
00
11
10
00
00
11
11
10
01
10
01
00
10
01
01
00
11
01
01
01
11
01
11
00
00
01
11
11
00
00
10
10
00
00
11
10
00
01
00
01
10
00
10
00
01
00
10
10
10
11
00
01
11
11
01
10
00
00
00
10
00
01
10
11
10
00
10
00
00
01
10
11
10
00
11
11
01
00
01
01
01
10
10
00
00
10
11
01
01
10
11
01
00
11
11
01
10
01
00
10
00
00
00
10
10
00
10
00
10
10
10
00
10
01
10
01
11
10
00
00
00
01
10
10
01
00
10
00
10
11
00
00
11
10
10
10
01
10
00
01
00
00
01
00
11
01
10
01
11
10
00
10
01
00
00
10
10
11
00
10
00
10
10
10
10
01
01
10
00
10
11
00
00
01
01
00
10
10
10
00
11
01
10
11
10
11
11
11
01
00
10
10
10
00
00
10
10
00
00
00
10
00
10
01
00
01
00
01
10
01
01
10
11
00
01
10
01
01
11
11
01
10
10
10
00
11
10
00
00
10
01
10
11
10
11
00
11
10
01
00
11
11
00
11
01
10
11
10
01
00
00
01
01
11
10
10
00
10
11
10
10
00
00
01
01
10
10
00
00
10
00
00
10
11
00
11
10
10
00
10
00
00
00
11
00
00
10
10
01
10
11
00
10
11
00
00
11
10
00
00
00
00
00
00
10
11
11
01
01
10
00
01
10
00
01
01
10
10
10
00
00
00
00
00
10
10
00
00
00
00
11
00
11
11
10
00
10
10
01
01
11
10
00
00
11
11
11
11
00
00
11
10
00
10
10
00
00
01
01
10
00
11
10
00
00
00
10
11
00
00
10
11
10
00
01
10
11
11
10
10
10
00
00
00
11
10
10
11
10
01
10
01
00
10
00
01
00
00
00
10
11
00
10
10
00
10
00
00
00
01
10
01
10
01
00
10
00
00
01
11
11
10
00
00
11
00
00
00
10
00
10
10
11
00
10
00
00
10
10
00
10
10
11
00
00
11
01
10
11
00
10
01
01
11
11
01
00
00
00
11
00
00
10
11
11
01
00
01
00
00
10
10
10
00
01
00
01
11
00
01
11
11
11
00
01
10
01
00
11
10
00
00
10
00
00
00
10
10
00
10
10
00
00
00
10
00
11
00
00
00
11
01
10
00
01
10
01
10
11
10
00
00
00
01
00
10
10
10
00
10
11
10
00
01
00
00
01
00
10
00
00
01
00
11
00
10
01
11
10
00
00
10
10
10
00
01
10
11
11
00
00
00
10
01
00
10
10
10
00
11
00
01
10
10
11
01
10
11
00
00
01
11
10
00
10
11
00
00
10
10
10
10
00
00
00
00
01
10
00
01
10
00
01
00
00
11
11
11
00
10
10
00
10
00
01
10
01
00
10
00
10
00
01
10
00
10
10
00
10
11
11
10
00
11
01
10
00
00
10
10
01
10
11
00
10
01
11
10
00
00
11
10
01
10
01
11
10
10
00
10
10
10
01
01
10
01
00
00
10
00
00
00
10
10
01
00
11
00
10
01
00
00
00
00
11
11
10
00
00
00
00
11
10
10
00
00
10
10
00
10
10
01
11
10
01
10
00
11
00
01
00
11
11
00
00
11
10
10
00
01
01
11
10
00
01
11
00
10
01
01
10
01
00
00
00
00
01
10
11
10
00
00
01
11
10
01
01
01
11
10
00
10
11
00
00
11
10
10
00
10
00
00
11
10
11
11
00
10
00
01
10
10
00
01
00
10
11
10
10
10
11
00
01
10
10
10
00
10
00
00
00
10
11
01
10
00
10
00
10
10
00
00
10
10
00
00
00
00
10
11
10
00
11
10
10
10
10
00
10
11
00
10
10
00
11
10
00
01
00
01
10
01
10
11
00
10
10
00
10
00
11
00
01
00
11
11
01
11
11
11
01
11
10
00
00
11
01
10
10
00
01
00
00
10
10
10
11
00
11
00
00
10
11
10
11
00
00
00
01
10
11
10
01
10
10
01
01
00
11
10
00
01
00
10
10
00
00
11
00
10
10
10
10
00
01
00
11
00
00
00
11
00
00
00
10
10
00
01
10
00
10
11
11
00
11
10
10
00
11
01
10
10
01
00
00
10
10
11
11
10
11
10
00
10
01
00
10
11
00
10
10
11
00
01
10
11
01
01
11
10
00
00
10
00
00
00
10
10
10
10
01
01
11
00
00
10
10
11
00
01
11
10
10
00
01
11
11
01
00
10
11
00
10
01
01
00
10
10
00
11
10
11
01
00
11
00
00
10
00
00
11
00
10
10
00
01
01
01
00
00
11
10
01
00
10
10
00
10
11
10
11
11
00
00
10
10
11
10
01
10
10
01
00
11
00
10
11
00
00
01
01
11
11
11
10
00
00
11
00
00
00
11
00
11
01
10
11
10
10
00
00
11
10
11
01
00
10
10
00
00
00
10
10
00
00
10
00
10
01
00
00
01
00
00
10
10
00
00
01
00
10
11
10
11
00
10
10
01
10
10
11
00
00
10
11
11
00
11
01
00
10
10
10
01
00
10
11
11
01
01
11
00
00
10
11
00
00
10
10
01
00
00
11
00
11
01
01
10
00
10
00
10
11
00
10
01
00
10
10
10
01
00
10
11
00
01
10
00
00
00
10
10
00
00
01
00
00
01
10
10
11
11
00
10
01
11
11
10
00
10
11
01
10
00
01
10
10
10
11
01
00
11
00
00
01
01
10
10
10
00
00
00
11
10
11
00
11
10
01
10
01
11
11
00
10
10
11
00
00
00
01
11
10
10
00
10
01
10
10
11
00
00
00
10
10
00
11
10
01
00
00
00
11
10
10
10
00
10
10
01
10
10
01
01
00
01
00
00
00
10
11
10
00
01
11
11
11
01
10
00
00
10
00
00
10
10
11
00
10
00
01
00
10
10
11
01
01
00
11
10
11
10
00
01
10
11
10
00
00
10
01
10
00
11
00
10
00
00
10
00
00
11
01
01
01
10
10
01
11
11
01
01
11
01
00
10
10
01
00
11
00
10
11
10
10
01
10
11
01
10
11
11
00
01
11
00
10
00
01
10
10
01
00
11
00
00
01
10
00
00
10
10
00
10
10
00
01
00
11
00
10
10
11
00
00
01
10
11
01
01
11
00
11
00
10
10
11
00
11
01
01
10
11
01
10
11
11
00
01
10
00
01
11
11
00
00
00
10
10
10
10
00
00
10
11
10
00
10
00
10
10
11
01
01
00
10
11
00
11
11
10
00
00
01
10
10
10
10
00
10
10
01
00
10
00
10
10
00
00
00
00
10
10
11
00
10
10
00
10
00
11
10
10
11
01
10
11
01
00
01
00
11
10
01
00
01
01
10
11
01
00
00
10
10
11
00
00
10
01
00
00
10
01
10
10
00
00
10
11
10
01
01
00
00
10
00
10
00
10
11
10
01
01
01
00
11
11
01
11
11
10
00
11
10
10
01
01
11
10
11
01
11
00
01
11
11
00
01
10
11
01
00
00
00
11
11
11
01
00
01
00
10
00
01
10
10
10
00
01
10
00
00
10
10
00
11
01
00
00
10
10
10
00
00
01
01
00
10
11
10
11
00
10
01
00
10
11
10
00
00
10
10
00
01
11
00
10
00
10
00
00
10
10
01
10
10
00
10
00
00
01
10
11
11
11
01
10
00
01
11
01
00
10
11
11
00
00
01
11
11
00
01
10
00
00
11
01
00
00
11
00
00
10
10
10
01
00
01
01
11
11
00
00
10
01
00
00
10
11
11
11
10
11
11
00
00
10
10
00
10
10
00
00
00
10
10
00
01
10
00
01
00
11
11
10
10
11
00
10
11
01
00
10
00
00
10
00
10
10
11
11
10
10
01
00
10
11
10
01
10
00
00
11
11
10
10
00
11
00
00
10
10
01
10
00
01
01
11
00
01
00
00
10
11
00
10
00
01
10
10
00
00
10
01
10
11
00
01
00
00
00
01
00
11
11
00
10
10
10
10
01
00
10
11
01
01
00
11
00
11
10
00
10
10
11
10
10
01
11
10
00
10
10
10
01
00
00
00
11
10
00
00
11
10
00
10
10
00
00
11
10
00
00
01
11
00
01
00
00
10
11
10
10
10
00
00
01
00
10
00
10
11
00
00
10
11
01
11
11
10
00
01
10
10
11
00
10
10
10
11
10
00
00
01
10
10
00
00
11
00
01
00
00
11
00
10
11
00
00
01
01
10
10
10
11
00
01
10
10
00
00
00
00
11
00
01
00
00
00
01
11
10
11
00
10
10
10
10
01
01
10
10
10
11
00
10
01
00
10
01
10
11
01
00
10
01
00
00
10
10
10
10
00
00
00
00
00
00
10
10
10
00
10
00
00
00
00
10
10
01
11
00
10
10
00
11
00
10
11
01
11
01
00
00
10
10
00
01
10
10
00
01
11
00
11
10
10
00
01
00
10
11
00
00
10
00
01
00
10
10
10
01
11
10
01
00
01
00
10
00
01
00
11
11
10
00
00
00
00
01
10
10
00
11
00
10
10
01
10
11
00
11
10
00
11
11
10
11
11
00
00
10
10
00
00
10
11
00
01
00
01
10
00
00
01
00
10
11
00
11
10
11
00
11
00
00
10
00
10
11
00
10
00
00
00
10
10
10
10
01
01
10
00
01
11
11
10
00
00
10
01
11
10
01
00
01
01
01
00
11
11
01
10
11
00
10
01
01
10
00
11
11
10
00
11
00
10
00
00
11
10
01
00
10
10
01
01
11
11
00
00
00
10
10
11
00
00
10
00
00
11
10
01
00
00
10
00
10
11
01
01
00
10
11
01
00
00
10
11
00
10
10
11
10
00
11
01
11
10
00
10
01
11
11
00
10
01
00
00
00
11
10
00
10
10
10
00
11
00
00
10
00
01
11
00
00
11
10
00
11
10
00
10
00
00
10
01
11
01
01
01
00
01
00
01
11
01
10
11
00
00
00
10
01
01
11
00
01
10
01
01
01
01
11
11
00
00
11
10
00
00
11
00
00
00
10
01
01
01
10
00
11
00
10
11
00
10
10
01
00
00
10
10
00
11
11
11
01
10
01
00
01
00
00
10
11
00
10
01
00
00
10
10
11
00
11
00
00
11
10
00
00
01
10
10
00
00
00
10
00
10
11
00
11
01
10
00
10
10
00
00
00
10
00
00
00
00
11
00
00
01
00
00
00
10
01
01
01
11
00
11
00
11
10
00
00
10
01
10
10
10
01
00
11
00
01
10
11
01
10
10
01
00
10
10
10
11
01
10
10
11
00
00
01
10
10
00
00
00
10
00
10
10
01
10
01
10
00
10
10
11
01
11
11
01
01
10
00
01
00
10
01
10
11
01
00
00
11
11
10
11
00
11
10
10
01
00
10
10
10
00
00
00
00
00
00
11
10
00
01
00
01
10
00
01
10
00
00
10
00
00
00
10
00
10
01
00
01
01
10
11
00
00
10
00
00
10
01
01
11
01
00
00
10
11
00
10
10
00
01
00
00
10
10
11
01
10
00
10
00
00
10
11
11
11
01
11
10
00
00
10
11
00
11
00
00
11
10
10
00
01
01
01
01
10
10
11
00
10
10
00
00
00
01
10
10
11
11
00
10
11
00
01
00
01
10
01
11
00
00
10
00
11
11
00
00
10
10
11
10
10
10
01
01
11
00
00
11
10
10
10
00
00
00
00
10
10
00
11
00
10
10
11
10
10
10
01
00
11
00
10
01
01
11
11
10
00
11
00
00
11
11
01
00
01
11
10
00
10
10
11
11
10
01
01
01
00
10
10
00
10
11
01
11
01
00
10
10
00
00
01
10
10
10
01
00
01
00
10
00
10
11
10
01
00
11
10
10
01
10
10
01
10
10
00
11
00
10
11
00
00
10
00
11
10
00
00
10
00
10
00
01
11
11
00
00
00
10
11
10
00
00
01
10
01
10
10
00
00
01
00
11
01
11
11
10
11
00
00
10
01
00
00
00
00
00
01
10
11
00
11
01
00
00
00
10
10
00
10
00
00
10
11
01
01
00
01
10
10
10
10
00
00
00
00
00
11
11
11
00
00
11
11
11
10
00
11
01
10
11
00
10
10
00
01
00
10
00
00
00
10
10
00
11
00
00
11
01
01
10
00
11
11
01
00
01
10
00
00
10
10
10
10
00
01
11
11
00
00
00
11
10
01
10
11
00
10
11
11
11
00
10
11
01
01
10
10
00
00
00
00
10
11
00
10
00
11
00
11
10
00
11
00
11
10
00
10
10
00
00
01
11
10
11
10
00
01
00
00
11
00
00
10
00
10
00
00
10
10
00
00
11
00
10
10
01
00
11
10
01
00
00
01
11
10
00
00
10
01
10
00
00
00
11
01
10
10
10
00
00
10
01
00
01
11
00
11
11
11
00
11
00
00
10
10
01
10
00
11
10
00
01
10
10
10
00
01
00
10
11
00
10
00
10
01
10
10
00
10
10
00
00
11
00
00
10
01
10
00
00
10
11
00
01
10
00
11
10
10
11
10
00
00
10
00
11
00
11
10
00
01
10
10
11
11
00
10
10
00
01
01
00
10
10
00
10
10
00
00
00
11
00
00
00
00
10
10
11
00
10
01
00
10
11
10
00
11
01
11
00
01
00
00
00
00
01
00
11
11
11
10
00
10
10
11
00
10
11
00
10
10
00
00
10
11
10
10
11
10
10
00
11
10
01
11
00
00
00
10
11
01
10
10
00
01
01
00
01
10
11
00
11
00
10
10
01
00
10
10
00
00
11
10
10
01
01
10
10
01
01
10
11
10
10
11
01
00
01
00
00
01
01
10
11
11
10
00
00
00
10
00
01
10
01
00
11
00
00
00
00
10
11
00
00
10
10
10
10
10
01
00
00
01
00
00
00
11
11
01
10
10
00
01
10
10
00
00
11
00
10
11
11
11
00
01
10
11
10
11
01
00
10
10
11
00
01
10
11
10
11
00
00
10
11
10
00
10
00
00
00
00
10
01
01
01
00
00
00
11
11
00
11
00
00
11
00
10
01
01
10
10
11
00
11
00
10
00
11
11
00
10
10
00
01
11
10
10
01
01
00
10
10
00
10
10
01
00
10
00
00
10
10
00
10
01
01
11
00
00
10
10
10
01
00
10
00
11
10
10
10
10
00
00
00
00
11
01
00
10
10
10
10
00
00
10
11
11
11
00
11
11
01
01
00
00
11
10
01
00
00
10
00
10
10
00
10
11
00
11
11
10
10
01
00
00
00
00
10
10
00
10
10
00
10
01
10
10
01
10
00
00
00
10
00
00
10
11
01
00
00
10
10
11
01
10
00
00
01
11
11
00
00
10
10
11
10
01
10
00
10
10
00
11
10
10
10
00
10
10
00
00
00
10
00
00
10
11
01
00
11
00
00
00
10
10
00
00
10
00
01
00
00
11
00
10
10
00
00
11
11
10
10
01
00
11
00
00
10
11
11
01
00
10
00
00
00
10
10
01
00
00
10
00
00
10
10
00
11
11
10
00
11
01
00
00
01
01
10
10
10
11
10
10
00
11
00
10
10
10
00
10
00
00
10
00
00
01
10
00
01
01
11
01
00
11
00
00
11
11
00
11
01
01
01
10
10
00
00
11
01
00
10
11
00
01
10
10
01
10
10
01
00
00
00
10
00
10
11
10
00
01
01
11
10
00
01
00
10
10
00
01
11
10
10
10
01
00
01
11
10
01
10
01
01
10
10
11
01
00
00
00
00
11
11
00
10
00
10
00
11
00
11
00
10
00
10
11
00
10
11
01
00
01
11
00
01
00
00
00
10
10
11
10
10
10
11
00
10
00
10
00
01
01
01
11
11
01
10
10
00
10
00
01
10
10
00
01
00
01
11
00
10
10
11
00
10
10
11
00
00
10
10
00
10
11
10
10
00
00
01
00
10
10
01
01
00
01
00
10
10
10
11
01
00
10
10
10
00
00
11
01
00
10
01
00
00
10
00
10
10
11
00
10
10
10
10
00
01
01
01
10
10
00
01
00
11
11
00
10
10
10
00
00
10
10
01
10
00
10
00
10
00
00
00
01
01
10
00
00
11
10
10
01
01
00
10
11
00
00
11
10
10
10
10
01
10
10
00
10
11
01
00
10
01
00
00
00
10
01
00
10
00
01
00
01
01
01
00
11
10
10
01
10
10
01
10
00
00
10
10
01
00
01
10
00
00
00
00
10
11
01
00
10
10
00
00
10
10
10
01
11
00
01
00
00
10
10
00
11
01
00
00
11
11
10
00
00
00
11
00
11
11
10
00
01
10
00
10
00
11
00
11
00
11
01
10
01
00
11
01
00
11
10
01
10
00
01
11
00
00
10
00
01
00
10
11
00
00
01
10
10
10
10
00
10
11
00
11
01
11
10
00
00
10
10
10
00
00
10
11
11
00
01
00
01
11
11
00
11
00
11
10
01
00
10
00
11
10
00
10
10
10
11
11
00
00
10
01
00
10
10
10
01
00
00
10
00
00
10
10
10
01
10
01
01
10
00
10
10
00
10
11
11
01
00
11
01
10
00
01
10
10
00
00
00
01
00
11
00
00
10
00
01
11
11
00
00
10
00
10
10
00
00
11
10
11
10
00
10
00
10
10
11
00
00
10
11
01
10
01
00
00
00
10
01
00
11
01
01
10
10
00
10
10
00
01
01
00
10
11
00
00
01
10
10
00
00
10
10
10
00
10
10
10
01
11
01
01
10
00
01
10
01
00
10
10
11
00
10
10
00
10
00
00
10
10
10
00
00
11
10
01
10
00
01
10
11
10
01
00
00
10
11
01
01
01
00
10
00
10
00
01
11
10
11
01
01
00
01
11
10
00
00
10
11
10
11
01
10
00
01
01
00
01
10
11
10
10
00
01
10
01
10
11
01
11
00
00
11
10
10
01
01
01
11
10
00
10
01
01
00
11
10
10
11
10
00
00
10
00
00
01
10
00
00
11
01
10
10
00
00
11
10
10
10
11
10
00
10
10
10
11
10
11
10
00
01
00
10
10
00
01
00
00
01
11
10
11
10
10
00
10
01
11
01
00
11
00
01
11
00
11
10
00
01
11
11
10
10
10
01
01
00
00
00
00
10
01
00
11
11
01
10
11
11
01
00
11
01
11
00
01
10
00
00
10
10
00
00
10
10
01
10
01
01
11
01
10
00
11
10
00
00
10
10
11
10
10
01
00
11
10
10
10
01
11
10
00
00
00
00
00
10
10
11
10
01
11
10
01
10
00
00
01
00
01
10
11
00
11
10
10
00
00
10
10
10
01
01
00
01
11
00
10
10
01
10
00
00
10
00
00
10
10
01
10
01
10
00
00
10
00
10
00
10
11
01
10
00
00
00
11
10
10
00
00
01
00
00
11
00
00
01
00
11
10
00
11
11
00
01
10
01
00
00
10
10
10
00
00
11
00
11
01
11
01
00
10
00
10
01
00
10
10
00
00
00
10
11
10
00
01
10
10
10
00
00
10
01
10
11
00
00
11
00
00
00
01
11
01
00
00
00
00
01
00
11
11
00
00
10
00
00
00
10
10
10
10
00
11
00
01
11
10
00
00
00
01
10
11
10
00
11
00
11
00
00
10
10
00
00
01
11
00
00
10
10
00
10
00
00
00
00
00
00
10
00
00
00
11
10
01
01
10
10
10
10
10
01
00
00
10
10
01
01
10
10
01
00
01
10
11
00
00
10
00
00
01
00
10
00
01
10
10
10
10
00
01
10
10
00
10
11
01
00
10
10
10
00
11
11
11
11
00
00
10
10
00
00
11
10
10
01
00
00
11
01
10
11
10
01
10
11
01
11
00
10
10
00
00
01
00
10
10
01
01
11
10
10
11
00
00
00
10
10
11
00
00
00
11
11
10
10
00
00
00
10
10
00
10
01
00
00
00
00
00
10
01
10
10
01
11
01
11
11
01
00
10
10
00
10
10
01
01
00
01
00
01
00
11
10
00
00
10
01
00
00
00
10
00
00
11
10
10
10
01
01
10
11
01
00
11
11
01
10
00
00
11
10
00
00
10
11
01
10
00
00
00
11
11
01
00
11
10
11
11
10
00
00
10
01
00
10
01
00
10
10
11
01
00
00
11
01
00
11
00
10
00
01
11
00
11
01
00
00
11
10
11
10
10
10
11
10
11
01
01
10
00
11
11
00
10
10
00
00
00
00
00
11
10
11
11
10
10
11
10
01
11
10
10
10
10
00
00
10
00
00
10
11
01
11
00
00
11
11
10
01
00
11
00
10
01
01
11
10
10
10
10
00
10
10
01
11
10
11
00
01
00
11
11
01
00
11
10
00
11
00
10
10
10
01
11
11
00
10
10
00
00
10
01
10
10
00
10
01
11
11
01
10
11
00
00
11
10
01
01
10
11
00
00
10
10
00
00
00
10
01
10
00
00
00
10
00
10
01
00
00
00
10
11
10
10
00
00
01
11
00
10
01
00
10
10
10
00
10
11
00
01
10
00
01
10
00
10
10
11
10
00
00
10
11
00
00
00
00
01
00
00
10
00
11
00
01
10
00
00
01
11
01
10
10
11
00
10
11
00
10
10
10
10
10
10
01
01
10
10
11
00
10
10
01
10
11
00
10
00
01
10
10
00
01
00
11
11
11
01
00
00
00
10
00
10
10
10
00
00
00
10
10
00
01
11
01
10
01
11
10
10
11
00
11
11
10
10
00
01
01
10
01
11
11
01
11
10
01
10
11
10
01
01
11
11
00
10
10
01
01
10
01
01
11
00
11
10
00
11
11
10
00
10
10
01
00
00
10
00
00
00
10
11
11
00
00
11
11
00
10
00
00
10
10
11
00
00
11
01
00
11
01
10
11
00
10
10
01
01
01
00
10
10
00
10
10
00
01
01
11
10
11
00
01
00
11
11
01
11
00
00
11
01
00
11
11
00
10
11
01
00
10
10
00
10
11
10
10
00
00
10
00
11
11
11
00
00
11
10
11
10
00
00
00
11
00
11
10
00
00
10
00
00
00
10
01
00
10
11
10
01
00
10
11
01
01
00
10
11
10
10
01
01
11
00
00
10
00
00
11
10
01
11
01
00
00
11
00
10
11
01
00
11
10
00
10
11
01
10
01
00
10
10
01
00
10
10
00
00
01
01
11
00
00
11
11
11
01
11
10
10
01
10
00
00
10
00
10
00
01
00
10
11
01
11
00
00
00
10
11
10
00
00
00
01
10
10
00
00
10
01
00
10
01
10
00
10
00
00
10
11
00
01
11
11
10
11
10
00
11
00
00
10
01
01
00
10
00
01
10
01
11
10
00
00
10
11
10
00
11
10
00
10
00
01
00
10
11
00
11
00
01
01
00
10
01
10
11
01
00
01
10
00
00
10
10
00
10
10
10
00
11
00
00
11
10
01
10
11
10
10
00
00
01
11
10
11
10
00
10
00
01
00
00
00
00
10
10
10
10
10
01
01
10
00
00
00
11
00
00
11
01
00
11
01
10
11
01
10
10
10
00
00
10
00
10
00
01
01
11
11
10
01
01
01
00
00
11
10
10
00
01
11
00
00
10
10
10
00
00
11
01
10
01
10
00
10
11
00
00
10
10
10
10
10
10
00
00
10
10
11
00
01
11
01
00
00
00
00
10
10
10
10
10
00
01
11
10
11
10
01
01
11
10
00
11
11
01
00
00
00
00
00
10
11
01
00
11
11
11
00
11
10
00
10
01
00
11
10
01
10
00
10
10
10
00
01
10
11
10
10
00
10
00
10
01
00
00
10
00
00
10
10
10
00
00
11
01
01
11
00
00
10
11
00
00
11
10
00
10
00
00
10
10
10
00
00
00
00
00
00
00
10
01
10
00
00
00
11
10
00
10
01
00
00
00
00
11
11
10
00
00
10
00
11
00
00
00
00
00
00
00
00
00
00
11
10
10
10
10
01
00
10
00
10
00
11
01
00
00
10
00
01
10
10
10
00
00
10
00
00
10
01
10
00
01
01
11
10
10
00
01
10
01
00
00
11
00
11
10
01
00
00
11
01
01
11
10
01
11
00
01
10
11
10
10
00
00
11
10
01
00
11
10
01
00
11
00
10
10
11
10
00
00
11
00
00
00
10
01
00
01
00
11
11
00
00
11
10
00
00
00
10
11
01
10
11
01
10
01
10
11
10
10
01
00
10
01
10
10
10
00
01
11
00
10
01
00
11
11
10
11
01
01
00
00
11
10
10
10
11
01
11
11
00
11
01
10
10
01
00
11
10
00
00
10
11
00
01
10
10
11
11
00
00
01
10
00
11
10
00
00
00
11
00
10
11
00
00
10
11
10
00
11
00
11
10
00
00
10
00
01
00
11
00
10
10
00
10
01
10
00
00
10
01
00
01
11
01
11
10
00
10
10
10
00
00
10
00
00
00
10
01
01
11
00
11
00
01
00
10
10
00
10
10
00
01
10
10
00
00
00
00
00
10
10
00
00
00
10
10
00
00
10
10
01
10
10
11
00
10
11
11
01
11
10
00
00
00
10
00
01
10
10
10
10
00
01
11
11
10
00
00
01
00
00
00
11
10
01
00
00
01
10
01
10
01
00
11
00
11
10
00
10
11
10
00
10
00
00
00
10
11
11
00
01
11
10
10
01
01
11
11
00
10
11
11
10
11
00
00
10
00
00
10
01
00
11
00
10
11
10
11
01
10
11
10
10
00
11
10
00
00
00
00
10
11
10
01
00
01
10
00
10
10
01
00
00
10
10
10
01
10
00
00
10
00
00
00
00
11
10
10
10
10
11
00
11
10
11
01
00
00
10
00
01
01
10
01
10
00
10
10
11
01
00
10
00
00
00
11
00
11
10
10
10
10
10
01
10
00
10
00
01
00
10
10
00
10
00
10
11
10
01
01
10
11
11
10
01
11
10
00
10
10
00
00
11
00
00
10
10
00
10
10
11
10
01
00
00
00
00
11
11
01
00
01
10
10
00
01
11
10
11
00
01
10
00
10
11
00
00
00
10
00
00
00
11
00
00
11
00
10
11
00
00
10
10
00
00
01
10
11
10
01
11
10
11
11
01
00
11
10
10
11
00
01
11
10
00
01
11
10
10
01
01
10
11
10
00
01
10
10
00
11
10
10
01
10
00
10
00
01
10
11
00
00
00
00
01
10
01
00
10
10
01
01
10
10
01
00
11
00
01
10
10
01
01
11
11
00
01
00
10
11
00
00
10
10
00
11
10
00
10
10
10
00
00
11
10
10
00
00
10
11
10
10
00
10
10
01
00
10
01
00
11
01
01
10
11
00
10
00
00
10
00
01
00
01
10
10
01
00
01
11
10
01
10
00
10
00
00
10
01
01
11
11
00
01
11
11
10
10
01
00
00
10
11
00
11
00
10
10
00
10
10
01
00
10
11
00
10
11
00
01
11
00
00
10
11
00
00
00
10
01
10
11
01
10
11
10
10
00
00
11
11
10
00
10
10
01
00
11
00
00
10
01
11
00
10
00
00
10
00
11
11
01
00
11
10
01
00
00
10
11
00
00
10
10
00
00
10
01
10
00
00
11
10
00
10
10
01
00
00
11
00
01
01
11
10
10
10
01
01
10
01
00
10
10
10
01
00
00
10
00
00
10
01
01
01
00
00
10
00
00
00
10
10
11
01
01
10
01
01
00
10
10
00
10
11
00
00
10
11
11
00
01
10
00
00
10
11
01
11
00
01
00
10
00
10
01
00
10
11
00
00
10
10
00
01
11
10
01
00
10
00
10
10
00
11
11
00
01
01
10
00
10
10
10
11
00
11
11
10
11
00
10
10
10
00
11
11
00
01
10
01
00
10
00
00
10
10
00
00
00
01
11
01
01
10
01
00
00
10
10
01
00
10
11
01
01
10
00
00
00
00
10
01
11
10
01
10
01
00
01
10
10
00
00
00
10
00
00
10
10
10
00
00
10
11
00
11
00
11
11
10
00
01
11
10
01
00
11
01
00
10
00
00
10
00
00
00
10
11
11
10
10
00
11
10
00
01
00
10
00
01
10
01
00
10
10
01
10
00
01
10
00
00
00
10
00
01
10
11
11
01
00
00
10
10
00
00
00
11
11
10
10
11
00
00
00
10
11
00
10
10
00
10
11
10
00
10
11
00
10
00
00
00
11
01
10
11
00
10
00
11
00
10
01
00
00
00
00
11
00
11
00
10
00
11
10
01
11
10
10
10
01
00
10
00
01
00
11
00
10
10
10
00
10
11
00
11
00
10
01
00
10
01
11
10
01
10
10
10
01
01
10
01
00
01
10
11
00
11
01
01
00
00
10
11
10
01
01
10
11
10
10
00
00
11
10
10
00
00
10
01
00
01
10
10
10
00
10
11
00
10
00
10
10
01
00
00
11
10
10
11
11
00
00
00
11
00
10
00
00
10
11
00
10
10
10
10
01
00
11
01
01
10
11
11
11
00
00
10
10
00
00
10
11
01
00
00
01
01
00
10
10
10
00
10
00
00
10
10
01
10
00
00
10
10
00
00
10
11
00
00
10
11
10
11
00
00
11
10
01
10
00
10
10
10
01
10
10
00
10
01
00
01
00
10
00
00
01
10
10
10
00
01
11
11
00
10
10
00
00
10
10
11
00
00
00
11
10
00
10
11
10
10
10
00
11
11
10
00
10
00
00
10
11
00
00
00
10
00
10
11
00
00
00
10
10
01
00
11
10
10
11
00
10
00
00
10
00
01
01
10
10
00
00
01
10
00
11
00
01
10
10
00
01
11
10
11
10
10
01
10
00
10
01
01
00
11
01
01
11
00
10
10
00
00
00
00
11
10
00
00
11
10
10
00
00
10
00
01
11
10
00
01
11
11
01
01
11
00
00
10
00
10
10
01
11
11
11
01
11
00
00
11
10
01
00
01
01
01
10
11
00
01
00
10
10
00
00
11
10
01
00
11
00
10
10
01
10
10
11
10
00
10
00
10
10
01
01
01
10
11
10
00
01
00
10
10
11
00
10
10
01
00
10
11
10
11
10
00
11
00
00
11
10
01
11
00
01
01
00
01
01
10
00
00
10
10
11
00
11
10
00
00
10
10
10
10
00
01
10
00
10
01
00
10
10
10
11
01
11
00
10
11
00
01
00
11
10
00
00
10
01
11
00
00
00
10
10
00
10
00
00
10
10
00
10
10
01
00
00
11
10
00
10
10
01
11
10
10
00
01
01
11
00
00
10
01
00
11
10
01
11
00
00
00
00
10
00
00
10
00
00
10
10
10
01
11
00
10
11
00
01
11
01
01
10
01
10
10
00
00
11
10
00
00
10
00
01
10
01
01
11
01
01
01
11
01
01
11
01
01
00
10
10
00
00
10
10
11
00
00
00
10
01
01
11
10
10
01
00
00
10
01
01
10
11
00
10
10
00
11
10
10
00
00
11
10
00
10
11
10
10
01
10
00
00
01
00
00
10
10
01
00
01
00
01
01
11
01
10
10
00
00
10
00
10
00
01
11
10
01
01
10
10
01
10
10
00
00
00
10
10
00
10
11
01
00
00
00
00
00
11
11
00
11
00
00
00
10
00
10
11
00
10
01
01
00
11
10
10
10
10
01
01
00
10
00
10
10
01
00
00
10
11
00
11
01
00
10
11
01
01
11
11
00
00
00
11
00
00
11
11
11
01
00
01
10
10
00
11
10
01
00
10
00
10
00
01
10
10
01
01
00
11
00
10
10
10
00
10
10
00
10
00
00
00
10
11
10
00
00
10
11
00
10
01
00
01
11
01
10
00
11
01
01
10
11
00
00
00
10
10
11
11
00
10
11
00
00
00
10
10
00
01
10
01
00
10
00
10
11
10
00
01
11
10
10
11
11
00
00
01
10
01
11
01
00
01
00
00
10
10
10
01
01
10
01
00
10
10
10
10
00
00
00
00
10
11
00
00
00
10
10
00
00
11
00
01
10
00
10
00
00
00
00
10
00
00
11
10
00
00
10
00
01
00
10
00
11
10
01
11
00
10
11
11
00
10
01
10
01
11
10
00
00
10
10
01
11
11
10
01
01
00
00
10
01
01
00
01
10
10
10
00
01
10
10
00
10
10
00
01
10
01
10
10
10
10
10
00
00
10
00
10
01
00
10
10
00
01
10
10
10
11
00
10
11
01
01
11
00
10
00
10
11
00
00
10
01
11
00
01
10
11
10
10
00
10
10
10
11
11
00
11
00
01
10
01
00
01
01
10
01
00
10
10
10
00
00
00
10
11
10
11
10
00
01
00
00
11
10
00
00
00
10
01
00
11
10
10
00
00
00
00
01
10
10
10
01
00
01
10
10
11
00
01
10
11
00
11
10
00
00
10
00
00
00
01
10
10
10
01
10
10
01
11
10
11
00
00
10
11
00
10
10
01
00
10
00
00
01
10
11
11
00
10
00
10
00
00
10
11
10
01
00
10
10
00
01
01
00
10
10
00
10
00
00
01
10
11
10
00
11
10
11
00
00
10
01
01
10
11
11
00
11
01
00
10
10
00
10
11
10
11
01
00
00
01
00
10
10
00
00
00
11
11
11
10
10
10
00
10
10
11
00
01
11
00
01
10
01
00
10
10
00
10
11
10
01
00
10
00
01
11
11
10
00
01
11
00
11
00
00
10
11
11
10
00
01
01
10
11
10
00
10
10
00
10
10
00
10
01
10
00
10
00
10
10
10
01
01
11
00
00
01
10
11
00
00
10
10
10
10
10
00
01
10
01
10
00
11
11
10
00
01
10
10
10
00
11
01
01
00
10
01
01
00
00
10
10
00
00
10
01
01
11
00
01
00
10
01
10
11
00
00
10
11
10
01
00
10
10
10
01
10
00
01
11
10
10
00
00
00
10
00
10
00
10
10
10
00
00
10
10
10
00
00
10
00
00
11
10
01
01
00
01
01
00
11
00
00
10
01
00
10
10
00
01
11
11
00
01
00
01
10
00
11
11
01
00
11
10
01
00
11
10
01
10
00
11
10
00
10
10
01
01
10
10
11
10
01
00
00
01
01
10
10
10
00
00
00
10
10
00
10
11
10
10
10
10
00
00
10
11
10
11
00
00
10
01
11
10
10
00
00
10
11
11
00
00
10
00
00
00
10
10
10
10
00
00
10
10
10
00
01
01
00
10
01
10
00
00
10
10
01
11
00
10
10
00
10
10
10
01
00
11
00
10
11
00
10
10
10
01
01
00
11
11
10
01
11
10
00
10
10
00
11
10
00
00
11
10
01
00
00
11
10
10
00
10
11
11
10
01
11
10
10
10
11
00
01
11
10
01
10
01
00
00
11
11
00
01
11
10
10
01
00
10
11
00
11
10
10
10
11
11
00
11
11
01
00
00
10
01
00
11
10
01
00
01
11
10
10
00
10
10
01
00
00
00
10
10
01
00
11
11
01
01
00
10
10
10
01
10
10
00
10
11
01
11
01
00
11
10
10
00
11
00
00
10
10
00
00
11
01
10
10
00
01
10
10
10
01
00
00
10
10
00
11
01
01
00
10
11
00
00
00
11
11
00
01
01
00
11
11
10
00
00
10
00
10
01
10
01
01
10
10
01
00
11
11
01
11
10
00
00
01
10
00
00
00
11
01
00
10
11
11
10
00
00
10
00
00
10
00
00
01
10
00
01
10
00
01
10
10
10
00
00
00
11
10
01
00
11
11
01
01
01
11
01
10
10
11
11
01
10
11
00
10
10
01
00
01
10
10
10
00
10
01
11
10
11
00
00
01
10
01
01
11
11
11
00
00
10
00
10
10
00
00
01
10
10
00
00
01
10
10
10
11
00
00
10
11
00
11
00
11
10
10
00
00
01
10
10
00
10
00
00
11
00
11
10
10
00
11
10
01
01
10
00
10
10
11
11
01
10
10
00
00
00
11
00
00
10
00
00
11
11
00
10
00
01
01
11
11
00
01
10
00
00
10
10
00
00
10
01
00
01
11
10
10
10
10
10
10
00
10
01
00
10
00
01
10
10
01
01
01
00
11
10
11
00
00
00
10
00
00
10
10
00
10
10
00
10
01
10
00
00
10
10
01
11
10
00
10
01
00
10
00
01
11
01
10
10
11
11
00
10
01
00
11
00
11
11
10
00
00
01
11
01
11
01
00
11
01
00
10
10
01
01
10
10
00
00
10
10
00
01
10
10
10
11
10
10
10
10
00
11
00
01
00
00
00
01
10
00
10
00
01
10
00
10
10
00
00
01
10
10
11
00
10
00
11
10
00
01
10
00
00
10
11
10
10
00
01
11
00
11
10
10
00
01
00
11
00
00
00
10
00
10
10
00
00
00
11
00
01
00
10
00
11
11
01
01
10
10
00
01
10
00
11
11
00
00
11
00
00
11
10
00
10
01
10
01
01
10
10
00
01
10
10
01
10
00
10
10
01
10
10
11
10
00
10
01
00
00
10
10
10
10
10
10
01
01
10
11
10
00
10
11
10
01
00
10
10
10
01
00
00
10
00
00
10
00
00
00
01
00
00
00
10
10
10
11
00
10
00
10
10
01
01
00
10
10
10
01
01
00
10
10
00
00
00
01
01
10
01
10
11
00
00
11
10
11
00
10
11
00
00
10
00
10
00
10
01
01
01
10
10
00
10
11
00
11
11
00
00
11
10
00
11
00
10
11
10
10
11
10
00
00
00
10
10
00
10
10
00
10
11
00
00
00
01
00
11
00
00
00
10
10
11
00
11
10
10
10
00
00
10
01
01
01
00
10
01
00
01
11
11
00
01
00
10
10
00
00
00
10
11
01
10
00
00
01
00
10
00
11
00
11
10
01
10
11
10
11
10
00
10
11
00
00
00
00
10
11
01
11
11
00
01
00
00
10
10
00
00
00
10
10
01
10
11
00
01
01
11
00
00
10
10
01
00
00
10
10
10
10
10
00
11
10
01
10
00
10
01
10
10
00
01
00
11
11
10
11
10
00
00
01
10
10
11
00
11
01
10
11
10
11
10
00
00
10
11
00
10
11
00
01
10
11
00
11
10
10
10
11
01
01
10
10
10
11
00
01
10
10
00
00
01
10
00
10
00
00
10
10
10
11
00
00
00
00
01
00
11
01
00
10
00
00
11
10
00
00
10
00
10
11
10
00
00
10
11
00
00
00
11
10
00
11
00
00
00
00
11
00
10
11
00
10
01
10
01
10
10
01
10
00
10
00
00
00
10
11
01
00
00
10
00
01
10
00
01
11
00
10
10
10
00
01
10
00
01
10
00
00
10
11
01
01
10
10
11
01
10
01
10
11
00
00
10
10
10
00
00
11
10
00
10
10
11
11
01
01
00
01
10
10
01
10
11
00
11
11
00
00
10
01
00
11
10
00
00
00
11
00
11
10
10
11
01
00
10
11
10
00
10
00
00
10
11
11
00
10
01
00
10
01
00
10
10
00
01
10
10
00
11
10
01
00
11
10
10
00
11
10
00
00
11
00
00
10
10
11
10
00
00
10
11
00
01
10
10
10
10
00
11
00
00
10
10
00
10
01
01
00
10
01
10
00
10
10
01
00
11
11
01
10
00
00
10
00
01
00
11
11
00
11
10
10
10
11
00
00
10
10
10
00
00
00
00
11
10
00
00
10
10
00
01
11
00
11
00
10
01
00
11
10
11
00
01
00
11
10
10
10
00
00
10
10
00
01
11
00
10
01
00
10
00
10
11
00
00
10
10
00
00
10
11
01
10
11
10
10
00
10
11
01
01
10
01
00
11
10
01
00
10
11
00
11
00
00
10
01
00
10
10
11
00
11
10
00
01
00
00
00
11
10
01
00
10
01
11
10
00
00
00
11
11
10
01
10
11
10
00
01
10
00
00
11
10
01
10
10
10
10
00
10
00
00
10
10
01
01
01
00
00
00
10
00
00
10
10
10
10
00
10
10
01
11
11
11
01
00
10
10
00
00
01
00
11
11
00
00
10
00
10
01
00
10
00
01
01
11
10
00
00
00
01
00
10
10
11
00
01
10
00
00
10
00
01
00
10
01
00
10
01
10
00
00
10
11
01
00
00
10
00
11
01
11
10
00
00
10
10
01
10
10
10
10
10
01
00
01
11
10
00
00
10
10
10
10
00
10
01
11
00
00
10
10
00
00
00
10
00
00
00
11
01
10
11
10
01
10
10
11
01
01
00
11
10
10
00
00
10
10
01
01
11
00
01
10
00
01
00
00
11
01
01
11
01
00
10
11
10
10
00
01
00
11
01
10
00
00
10
01
10
10
01
11
00
10
00
00
10
01
10
10
00
01
00
11
10
11
11
10
00
00
11
11
10
00
00
10
00
00
00
11
10
00
00
00
00
01
10
00
01
10
10
01
10
00
00
01
00
01
11
11
00
01
00
00
00
00
10
10
11
00
11
01
01
00
01
10
00
00
11
10
00
01
10
01
10
10
01
01
11
00
00
01
10
00
00
10
11
11
00
10
00
11
10
10
00
10
10
01
01
00
00
10
10
01
00
00
00
01
10
10
11
00
01
11
10
10
10
10
10
10
00
00
00
00
10
11
00
01
10
10
01
00
10
10
11
00
01
00
10
10
00
01
01
11
10
01
11
10
10
11
10
00
10
10
01
01
10
01
00
11
10
00
01
10
11
00
00
10
11
01
10
00
00
00
10
10
01
10
01
11
00
10
00
10
10
11
10
00
00
00
01
10
01
10
10
00
10
11
01
00
10
01
00
00
11
00
10
00
01
10
00
10
00
10
00
10
00
00
00
00
01
10
10
10
11
00
11
00
01
10
01
11
01
00
10
10
00
11
11
01
01
00
00
00
10
00
11
10
10
00
10
11
11
00
01
10
00
10
11
11
11
01
00
10
10
00
00
10
10
10
10
00
10
10
10
00
00
00
11
11
01
10
11
01
10
10
00
00
00
10
11
11
00
10
01
00
01
01
01
00
00
11
00
01
10
01
01
01
10
11
11
01
10
10
10
01
00
00
01
10
00
10
01
01
10
11
01
11
00
10
10
10
11
00
11
00
00
01
11
10
00
00
11
00
00
00
10
11
00
11
10
00
00
00
10
00
10
10
11
11
11
01
10
10
00
01
10
10
10
01
01
00
00
00
11
00
00
10
11
00
01
10
10
10
10
10
11
11
00
11
00
00
00
10
11
00
00
00
11
10
01
10
00
10
10
00
10
11
01
11
01
10
00
00
01
10
10
00
00
10
10
00
00
00
10
11
00
11
00
10
00
10
00
00
00
11
10
00
01
00
11
10
11
10
11
00
00
11
10
00
00
00
10
01
01
00
10
10
01
01
00
11
10
00
00
10
11
01
00
10
01
01
10
00
10
01
00
10
10
01
10
10
10
10
00
11
00
00
00
10
10
10
00
01
10
00
00
11
10
00
00
10
10
10
10
11
11
01
00
01
11
10
00
10
00
01
01
10
10
00
00
11
10
01
10
00
10
11
00
00
00
10
00
11
10
00
10
00
00
00
10
00
10
10
00
10
10
01
00
10
01
01
11
00
10
11
10
00
00
00
10
10
10
10
10
10
10
00
10
00
00
00
10
01
11
11
10
10
01
00
00
01
10
11
10
00
00
01
00
01
10
10
00
01
01
10
01
00
10
01
10
10
00
00
10
10
00
10
11
01
00
01
10
11
10
10
00
00
11
10
10
01
00
00
10
10
01
10
00
11
10
11
10
00
00
11
00
10
10
10
00
10
01
00
10
10
00
00
00
01
11
11
01
00
10
00
01
01
00
10
11
01
10
01
00
11
00
00
10
11
01
10
11
01
11
10
10
00
00
10
11
10
00
10
11
11
11
00
01
00
10
10
11
10
01
00
11
01
01
00
00
10
00
01
10
11
01
01
10
00
10
00
00
10
00
01
00
11
00
00
10
11
10
00
01
10
00
00
10
00
00
10
00
10
00
10
11
00
11
00
10
00
00
11
11
00
00
00
10
10
00
11
01
11
10
10
01
11
11
01
10
10
00
01
01
11
10
00
10
00
10
00
00
10
10
00
00
10
01
10
00
01
00
10
10
10
00
01
00
00
01
11
10
00
01
10
01
01
10
10
00
00
10
10
00
00
10
10
11
01
01
00
11
11
00
00
11
11
01
00
10
10
00
00
00
11
11
00
01
00
10
00
10
00
11
10
01
01
10
01
00
00
00
10
11
00
00
10
01
10
00
01
10
10
00
11
10
11
10
00
10
10
10
10
00
11
00
00
00
10
10
11
10
00
10
11
10
00
11
00
01
11
00
00
00
10
10
01
00
10
11
00
01
01
11
00
01
10
10
11
01
01
11
00
00
00
11
10
10
01
00
11
00
01
00
00
11
00
01
11
10
10
00
10
00
11
10
01
01
01
10
11
10
01
01
10
11
00
10
00
00
10
00
10
11
01
11
00
10
00
10
01
00
10
11
11
10
10
00
01
11
11
00
00
00
10
11
00
10
10
00
01
00
11
10
01
10
10
10
01
10
11
01
00
00
11
01
10
10
00
00
01
10
11
10
01
10
01
00
01
10
01
11
10
01
10
00
01
10
11
01
11
11
00
10
00
10
10
10
01
01
00
10
10
00
01
10
10
10
01
00
11
00
00
10
10
01
10
10
10
00
00
00
00
01
11
01
00
10
10
10
11
11
01
01
11
10
10
11
11
11
00
00
10
01
00
11
10
00
00
10
11
00
00
11
11
11
00
10
11
01
10
10
00
01
10
00
00
10
11
00
11
10
10
01
10
10
01
00
11
00
00
11
01
01
10
00
00
11
00
01
10
10
00
11
00
00
10
11
10
00
00
00
00
10
00
00
10
10
00
11
10
01
01
00
00
00
11
10
10
11
10
01
00
00
00
10
00
00
00
00
10
11
10
10
00
00
00
00
00
10
11
10
10
00
00
10
00
11
10
00
00
00
00
01
10
11
10
10
01
01
01
01
00
10
01
10
11
00
00
11
10
10
10
00
00
10
11
01
10
10
00
10
11
11
11
01
00
10
11
10
11
00
00
10
10
00
11
10
00
01
01
11
11
00
00
11
00
11
01
01
01
11
11
10
10
01
00
10
11
01
00
10
10
00
00
10
10
10
10
11
00
00
11
01
00
10
00
01
01
10
00
00
00
01
10
00
10
11
10
11
01
01
11
01
10
00
10
11
00
01
10
11
01
11
10
10
00
00
10
11
01
01
11
01
00
10
00
00
01
01
11
11
00
11
10
00
00
10
10
00
10
10
00
10
00
00
00
00
10
10
11
11
00
11
00
00
11
01
00
11
11
00
00
10
10
00
10
10
00
10
10
01
01
00
10
01
10
01
00
10
11
00
10
10
01
00
01
11
00
00
11
10
10
01
01
10
11
01
00
01
00
10
10
00
00
11
00
00
11
10
01
00
00
00
11
00
00
01
11
01
00
00
10
01
11
10
00
01
01
00
11
01
00
10
10
10
00
10
10
11
01
00
10
00
00
11
00
01
00
11
10
11
00
11
10
01
00
10
00
01
10
10
10
00
10
00
10
10
10
00
01
10
00
01
01
10
10
01
10
10
10
00
00
00
00
11
10
00
00
00
00
11
10
00
01
10
10
11
01
00
00
11
00
10
10
00
01
10
01
10
10
10
11
01
01
11
10
01
11
00
00
10
10
00
11
10
00
11
11
00
00
10
11
00
01
00
00
10
11
01
11
11
10
10
10
00
00
10
00
01
01
11
00
10
01
10
10
10
00
00
11
11
01
10
11
00
10
10
11
10
00
00
11
10
01
00
00
01
00
10
10
00
00
01
00
11
10
10
00
10
10
11
00
00
01
01
10
11
10
10
00
00
10
00
00
10
11
00
11
10
10
10
00
00
01
11
10
01
11
00
11
10
11
00
01
10
10
00
00
01
00
00
10
11
01
10
00
00
10
00
10
10
00
01
10
00
00
11
00
00
00
00
00
11
01
10
01
10
11
10
00
01
10
00
11
10
10
00
00
01
10
00
01
00
00
10
11
10
00
10
00
01
11
01
11
00
01
00
00
01
10
11
00
00
11
00
11
11
01
00
00
01
10
00
00
10
10
00
01
11
10
10
11
11
10
10
11
00
01
10
01
01
00
10
00
01
10
01
01
11
00
01
01
10
10
00
00
10
10
00
10
10
11
10
11
10
10
11
10
00
00
10
11
01
00
01
11
00
00
10
10
10
10
00
00
11
00
11
01
10
00
01
00
01
00
10
10
11
00
00
01
10
11
01
10
00
10
00
10
00
11
11
00
10
00
00
10
11
10
10
10
11
00
01
00
00
11
10
00
11
00
01
10
10
00
10
10
00
00
10
10
00
11
00
00
11
10
11
00
01
01
00
11
01
10
01
10
00
10
01
00
11
10
01
10
11
00
10
11
01
10
10
00
00
11
11
00
00
00
10
10
11
00
00
01
00
01
01
10
10
10
00
10
10
00
10
11
01
10
10
00
10
11
11
01
11
11
11
10
00
00
10
10
00
01
01
01
10
10
00
11
00
01
10
10
01
10
10
01
00
10
11
11
11
10
01
00
11
10
00
01
01
10
10
11
01
10
00
00
10
01
10
11
11
01
00
00
10
00
00
11
10
00
00
00
10
10
10
10
00
00
01
01
10
10
11
00
01
10
10
00
00
00
00
10
01
00
11
00
10
10
01
11
10
11
00
11
01
00
00
10
10
00
11
01
00
00
10
11
10
01
01
00
11
01
00
10
00
00
01
10
01
01
10
10
01
11
01
00
00
11
00
11
10
00
11
10
11
00
11
10
01
00
00
10
00
01
11
11
01
11
10
01
00
10
00
00
11
00
00
10
00
11
01
00
11
11
00
10
10
00
10
10
00
10
10
01
10
01
10
01
00
11
10
00
11
01
00
00
10
10
01
01
01
10
10
00
10
10
10
00
00
10
01
00
10
01
10
00
10
11
00
01
10
11
10
10
10
11
10
00
11
00
00
10
00
00
10
10
00
11
10
10
00
11
00
01
10
00
11
00
00
01
10
10
01
00
10
11
00
01
01
11
01
00
11
10
11
01
01
10
10
11
00
00
11
00
10
00
00
11
10
00
01
00
10
00
10
11
00
10
10
10
01
01
10
10
00
00
10
00
01
00
00
10
00
10
00
10
10
01
00
10
00
10
10
01
01
11
00
00
00
11
00
10
11
00
11
00
01
10
00
00
10
00
00
00
10
10
00
00
10
10
11
00
10
10
11
11
00
01
00
10
00
10
00
00
10
10
10
11
11
11
11
00
11
00
10
10
01
10
10
01
00
00
11
00
00
01
11
10
11
10
00
00
10
10
10
00
00
10
10
01
01
01
10
00
00
00
01
01
00
10
10
00
01
00
11
01
10
00
01
10
10
11
00
10
00
00
00
01
00
11
10
10
01
00
10
11
10
00
00
10
01
00
00
10
10
10
00
01
10
10
11
10
10
00
10
11
00
01
00
01
00
10
01
11
10
01
11
11
00
00
11
00
00
10
10
01
10
01
01
01
10
00
10
10
01
10
10
00
01
10
01
10
11
10
10
00
00
00
10
11
11
00
10
01
10
00
01
10
01
00
10
00
11
10
01
10
10
11
11
00
11
10
01
10
01
11
10
00
10
00
01
00
10
11
00
01
00
10
00
00
10
10
10
10
10
00
10
00
10
00
00
00
00
10
10
11
11
00
11
10
11
10
01
10
00
01
01
00
11
10
00
00
10
01
00
11
10
10
01
00
11
10
00
00
00
10
11
11
01
00
11
10
01
00
10
10
11
00
00
11
10
00
10
00
01
10
10
10
00
00
10
10
11
00
00
10
01
10
00
00
10
00
00
00
11
10
00
11
00
00
01
01
11
10
00
00
10
10
11
00
00
00
00
10
01
11
01
10
10
10
00
10
10
01
00
00
10
01
00
00
00
11
10
01
10
10
11
11
10
00
01
10
11
10
00
00
10
11
00
01
10
11
01
01
00
00
10
10
00
01
10
10
10
00
01
00
00
00
10
11
10
00
10
10
01
11
00
11
00
00
11
00
01
10
00
00
01
00
11
01
10
00
00
10
00
10
10
00
10
01
00
00
10
00
10
10
01
00
10
11
00
10
00
10
10
00
00
00
00
01
00
10
10
00
10
01
11
11
10
00
00
00
10
11
01
10
10
00
10
10
10
00
11
10
01
10
01
00
00
00
10
01
01
00
11
11
00
10
00
10
10
10
00
01
01
11
11
00
10
01
11
11
00
01
10
01
01
10
01
00
00
11
11
00
11
11
00
11
01
01
01
00
01
10
10
10
10
10
00
11
11
11
11
00
11
10
11
00
01
10
11
00
01
10
11
01
00
10
10
01
01
10
10
11
10
00
11
01
01
11
10
10
00
10
10
00
01
10
10
10
10
10
10
11
00
00
10
01
00
10
00
01
00
11
00
11
00
10
11
00
01
00
00
00
10
10
00
11
10
11
00
00
10
10
01
00
01
10
10
11
11
10
00
00
00
10
10
10
10
10
00
00
10
00
00
10
00
00
10
01
10
01
10
10
11
01
11
11
10
01
00
11
11
00
01
11
00
01
00
11
10
10
01
10
10
01
00
10
01
01
10
01
10
01
00
00
11
11
00
10
00
10
00
10
10
00
00
01
01
10
10
00
10
00
11
11
00
11
00
00
10
01
11
10
10
10
00
01
11
11
10
11
10
10
11
00
01
11
10
00
10
11
00
10
10
00
00
01
11
10
11
00
01
10
11
00
10
10
00
00
10
00
00
00
11
10
10
10
01
11
00
10
10
10
00
10
10
00
00
10
00
00
01
00
01
01
10
00
00
10
00
00
11
10
10
10
10
10
00
00
00
10
10
10
10
10
01
01
00
10
00
10
10
01
11
11
11
00
00
10
10
11
00
01
10
11
01
01
10
10
11
00
00
10
10
00
10
01
00
01
11
01
00
10
10
00
10
10
10
00
00
11
11
10
10
01
10
00
00
10
00
00
00
11
10
00
00
11
10
10
01
10
11
00
10
10
00
00
10
10
10
10
00
10
01
10
00
00
11
11
11
00
01
01
11
00
10
11
01
10
01
01
10
10
10
00
10
10
00
11
00
01
01
00
11
10
10
00
00
10
10
10
10
00
01
10
00
10
10
11
10
00
10
10
00
10
11
10
10
00
11
00
00
01
10
00
00
11
00
00
10
10
01
01
00
11
00
01
00
01
01
00
01
11
10
00
11
00
00
00
01
10
00
01
11
10
00
11
10
11
00
01
00
10
10
01
01
10
11
00
10
10
01
10
11
01
01
10
11
11
10
10
10
01
00
10
10
01
10
00
00
00
00
10
00
10
10
00
00
10
01
10
01
01
01
00
11
11
11
00
10
10
01
01
11
10
01
10
01
11
01
00
10
10
10
10
01
10
10
10
00
00
00
11
10
00
11
00
00
00
10
10
11
01
00
01
11
01
00
10
01
11
10
01
00
10
00
01
01
00
01
10
10
11
11
00
00
00
10
10
10
01
00
11
01
00
00
11
10
10
01
00
11
10
01
10
10
00
10
10
11
10
00
10
10
00
01
01
01
10
01
11
10
00
10
01
00
10
10
00
00
11
00
10
00
10
10
10
01
01
10
11
00
11
10
10
10
00
00
11
10
00
10
10
00
00
11
10
00
00
00
11
00
00
11
01
10
10
11
00
10
10
01
00
10
10
10
00
10
11
00
10
10
10
10
11
00
00
10
10
11
00
00
10
11
01
10
00
00
10
10
10
11
01
00
00
01
00
10
10
11
10
00
10
11
10
10
00
01
01
11
11
01
00
10
00
11
00
01
11
10
01
10
11
00
10
10
01
00
11
10
01
00
01
10
10
10
10
11
00
00
10
10
00
10
00
00
00
10
00
00
00
11
00
00
01
10
11
01
11
00
10
11
10
00
00
00
10
10
00
10
10
01
00
11
00
10
11
01
11
00
00
10
00
00
10
00
00
00
11
10
00
01
11
01
00
10
00
10
10
00
10
00
11
11
11
00
00
10
11
00
00
10
10
10
01
00
00
00
10
10
00
00
10
00
01
01
11
11
00
01
00
00
00
01
10
00
00
11
10
11
00
10
10
00
11
00
11
10
11
00
00
10
10
00
01
00
11
01
10
10
00
00
00
10
11
00
00
00
00
10
00
00
10
01
00
01
00
11
10
01
00
00
10
01
00
10
00
00
11
10
11
01
01
01
00
00
10
10
00
00
11
10
00
00
10
11
00
00
10
00
11
00
10
00
00
00
10
10
11
01
00
11
01
10
10
00
10
10
10
00
00
11
01
10
00
11
10
00
10
10
11
00
10
10
00
00
10
00
10
11
11
00
00
00
00
00
10
00
01
10
10
10
10
11
00
01
11
10
10
10
00
00
00
11
01
11
11
01
01
10
01
00
11
11
11
01
01
10
10
11
00
01
10
11
00
00
01
11
01
00
10
11
01
01
11
11
00
11
10
10
10
00
01
10
01
00
10
10
00
11
10
00
01
01
10
00
00
11
10
10
01
01
11
11
10
00
01
01
11
10
01
10
11
10
00
00
10
10
00
00
10
00
11
10
11
10
00
00
00
00
00
00
10
10
00
10
00
11
11
01
01
00
10
00
10
11
00
00
11
01
10
00
10
10
00
00
10
00
01
10
11
10
10
01
00
00
00
11
10
10
11
00
00
10
00
10
01
10
00
01
00
00
01
00
10
10
00
11
01
11
10
00
01
10
10
10
01
10
00
00
11
10
11
00
00
10
01
01
10
10
01
10
01
00
11
11
10
00
00
11
11
11
00
00
00
10
11
01
00
10
11
00
00
00
10
10
00
01
01
00
00
11
00
01
10
11
11
10
10
01
00
11
10
00
11
00
11
10
00
00
10
10
10
11
00
01
10
10
10
11
11
00
10
10
10
11
11
01
00
10
00
10
01
10
01
11
01
01
11
11
00
10
10
11
00
10
10
00
00
10
00
00
11
00
10
00
10
10
00
10
00
01
00
10
10
11
00
10
10
10
00
00
00
00
10
00
10
11
00
10
10
00
10
01
00
01
11
10
00
01
10
11
10
11
00
00
11
00
10
11
00
10
01
10
00
00
10
01
11
11
10
01
00
10
00
10
10
10
11
01
01
00
10
10
00
00
00
00
10
11
11
01
10
10
00
11
00
00
10
11
10
11
00
10
11
00
00
10
10
00
00
10
01
10
00
00
10
00
00
01
00
10
11
00
11
10
10
00
00
00
00
00
10
10
00
00
00
00
11
00
00
11
10
01
01
01
10
10
10
10
10
00
00
10
11
01
01
11
10
10
00
10
10
11
00
10
11
00
01
11
00
01
10
00
00
00
11
11
01
00
00
11
11
11
01
10
10
00
10
00
00
10
10
01
00
01
00
01
11
10
00
01
10
00
00
10
11
10
10
00
00
10
00
00
00
11
11
10
10
00
11
00
11
10
11
00
10
01
11
00
01
00
11
01
00
11
10
10
01
11
01
10
10
00
00
01
11
00
01
10
01
10
01
10
00
00
00
00
10
10
00
00
10
11
11
00
00
10
11
01
01
11
00
10
00
01
10
01
10
10
00
01
10
11
01
00
10
01
10
10
00
00
10
10
00
10
00
00
01
00
11
11
00
11
11
00
00
10
00
10
11
10
11
10
10
00
00
10
00
01
10
11
10
00
10
11
11
10
00
00
10
00
00
10
10
00
10
11
10
00
01
01
11
10
01
10
10
00
01
01
00
11
10
10
11
10
11
10
00
00
00
10
01
10
10
10
00
01
11
10
00
01
00
01
00
00
11
01
00
10
11
11
10
00
11
00
00
10
10
00
00
10
01
10
10
01
11
10
00
00
00
10
10
11
10
00
01
00
10
11
10
11
00
00
00
00
01
11
00
01
11
11
11
01
01
10
01
00
10
10
00
01
01
10
10
10
11
00
10
11
00
01
00
10
00
10
10
00
10
10
10
11
10
10
10
00
00
00
00
10
01
11
01
00
10
10
10
10
01
11
00
01
11
11
10
10
01
01
01
00
10
10
00
00
11
11
01
00
11
00
01
01
00
10
11
10
00
10
10
00
10
00
11
00
01
00
10
00
01
01
10
10
00
00
10
01
00
01
10
01
00
10
01
11
10
11
00
00
11
00
01
11
10
00
00
10
11
10
01
10
01
00
11
00
01
00
10
10
00
10
10
00
10
00
00
00
01
10
10
11
11
10
00
10
10
11
00
00
00
00
11
00
10
00
10
11
10
01
01
11
11
00
00
10
00
10
10
00
01
10
10
10
10
10
10
10
01
10
10
01
00
00
10
00
11
10
00
10
01
01
01
00
11
10
00
01
10
01
11
10
00
00
00
10
00
10
10
00
10
00
10
01
00
10
10
00
01
01
10
11
10
11
00
00
10
00
01
10
01
11
10
00
10
10
11
00
00
10
10
01
01
10
01
10
10
11
00
01
11
00
00
00
00
00
10
11
11
00
00
01
11
10
10
00
01
10
00
10
10
00
11
00
00
00
10
11
00
11
10
10
00
00
10
10
00
00
11
10
00
10
11
10
00
00
00
01
01
10
11
01
00
01
01
10
10
01
00
00
10
10
00
10
01
00
10
10
01
00
11
10
10
11
00
10
11
00
01
10
10
01
00
10
00
00
11
00
00
10
00
00
11
01
11
10
10
01
00
10
10
00
10
00
00
00
10
00
10
11
00
11
10
00
01
10
10
00
00
00
00
01
10
11
10
10
00
11
00
01
00
10
10
00
11
00
10
10
11
00
00
10
10
11
00
00
10
00
00
00
10
00
00
11
10
10
01
01
10
01
00
01
11
00
00
11
10
00
10
11
11
00
11
00
01
11
00
11
00
00
10
00
01
10
10
10
00
01
10
10
10
01
01
00
00
10
01
00
10
10
10
11
00
00
01
10
10
10
00
00
10
10
10
10
00
01
10
01
00
10
11
00
00
10
10
10
01
11
10
11
00
01
00
00
01
10
00
10
00
01
11
10
11
11
00
10
00
00
01
10
11
00
00
10
01
10
00
00
10
10
01
10
00
01
00
11
10
10
11
01
00
00
11
10
11
00
01
10
01
00
10
00
01
11
10
11
00
00
01
01
10
10
11
00
00
11
10
10
00
00
00
00
10
01
01
10
11
10
01
00
01
10
00
11
10
01
11
00
00
00
01
10
00
11
11
10
00
11
01
10
01
10
10
10
00
01
10
00
01
11
11
01
01
11
00
00
11
11
10
00
11
00
01
00
01
10
10
01
10
01
01
10
00
00
00
10
00
10
10
01
00
01
10
11
01
01
10
01
10
10
00
00
00
10
11
01
10
00
01
10
11
01
10
00
00
10
00
00
00
10
00
00
10
10
00
00
11
00
01
10
10
00
11
10
11
01
10
10
10
00
01
10
10
10
00
00
00
00
01
11
11
01
00
11
00
11
10
00
10
11
01
00
01
10
01
00
10
01
00
01
11
00
00
01
10
10
00
01
11
00
00
00
00
00
11
10
00
01
01
10
00
10
11
00
00
00
10
01
00
00
10
01
10
10
11
10
00
10
11
10
10
01
00
11
00
11
10
01
00
10
10
11
01
00
00
10
11
01
10
10
11
10
01
10
11
01
00
01
01
10
10
10
10
10
01
01
10
10
00
11
00
01
00
00
11
10
10
10
10
11
00
11
00
01
00
01
00
00
00
00
01
10
10
10
00
01
01
10
10
11
01
10
00
00
00
00
10
10
00
10
10
10
10
00
10
00
00
00
01
10
10
10
11
00
00
10
00
10
10
00
01
00
10
00
00
11
10
00
10
11
00
10
00
01
01
10
10
00
01
01
10
11
00
00
11
10
10
11
00
00
10
11
11
00
10
00
01
00
10
10
01
01
01
10
10
10
10
00
00
00
10
11
10
10
00
00
10
00
00
11
10
01
00
10
11
00
10
10
01
00
10
11
01
00
10
01
10
01
10
01
10
10
11
11
01
00
00
10
00
10
00
00
10
01
00
10
00
10
10
00
10
10
10
11
00
01
01
01
10
11
00
10
00
01
10
10
01
00
10
00
01
10
10
00
00
10
00
00
00
10
00
10
00
10
10
10
11
01
10
00
00
11
11
11
00
10
00
00
10
01
00
10
10
01
00
11
00
10
10
10
10
00
11
00
00
11
10
01
01
10
00
10
11
10
10
01
10
00
01
01
01
00
11
10
01
00
01
11
11
10
01
00
11
10
00
01
10
11
01
00
11
00
00
10
11
00
00
11
11
01
00
01
10
10
10
10
11
00
10
10
00
00
00
01
10
11
10
10
00
10
10
01
10
01
00
11
11
00
10
11
10
01
10
10
01
10
01
10
01
00
00
10
10
10
00
10
10
11
01
10
01
01
01
01
00
11
10
10
00
10
10
00
01
01
00
11
01
00
10
01
10
00
00
10
01
10
10
00
01
10
10
10
10
10
00
00
01
11
00
11
10
00
01
11
10
00
10
11
00
10
01
00
00
01
10
10
01
00
01
01
11
10
10
00
11
00
01
11
11
00
11
00
00
01
10
00
10
00
11
01
11
10
00
01
01
10
00
01
00
10
01
11
00
10
10
00
11
00
01
10
11
10
10
01
10
00
11
10
00
00
11
10
10
10
01
11
11
01
01
10
11
10
01
01
10
10
00
01
10
10
00
10
00
01
00
10
11
00
10
10
01
00
00
11
10
11
00
00
11
11
10
00
11
10
10
00
10
00
01
10
00
00
11
10
10
00
00
10
10
10
10
00
00
01
00
01
11
10
00
01
10
00
11
10
11
11
10
01
11
11
11
10
00
01
00
11
10
11
00
10
00
10
10
00
01
11
01
11
01
00
00
10
00
10
10
10
01
10
00
00
11
00
00
01
10
00
00
00
11
11
01
11
10
00
11
00
00
10
10
00
11
00
01
00
10
10
00
01
01
11
10
10
00
00
10
11
00
00
00
00
10
00
00
10
01
10
01
11
00
01
10
10
01
11
10
11
00
01
10
00
00
01
10
10
11
00
00
01
00
10
10
00
00
00
11
00
11
00
01
10
11
10
11
00
00
10
10
01
00
10
10
00
01
11
00
00
00
10
01
00
00
10
01
00
10
00
01
11
00
01
10
00
00
10
11
00
00
01
10
10
00
11
10
11
01
11
11
00
11
10
00
00
00
10
10
00
00
00
01
00
10
10
10
00
11
10
00
00
11
00
00
00
10
10
10
01
10
11
11
00
00
01
10
10
00
11
10
10
00
01
00
10
00
10
10
00
11
10
00
01
01
10
10
01
10
10
00
00
00
10
10
01
00
01
00
00
01
11
01
00
10
10
00
00
10
10
00
10
11
11
01
11
00
00
11
11
00
10
11
00
10
00
00
00
01
01
10
01
00
10
11
10
01
00
00
10
11
01
10
00
01
10
01
00
11
10
10
10
01
00
10
10
00
00
10
00
00
10
10
00
00
00
00
10
00
00
01
11
11
00
00
00
10
01
10
10
00
01
00
10
00
00
10
00
10
11
00
10
00
00
10
00
01
10
00
00
10
10
11
00
00
11
01
00
00
00
10
11
11
01
01
01
00
11
10
10
10
00
01
10
00
00
00
10
00
01
10
11
11
00
00
01
11
00
10
11
00
00
11
00
00
00
10
10
01
00
11
11
00
10
11
00
00
00
10
00
01
10
00
10
10
10
01
01
11
00
00
10
01
11
00
10
10
10
00
10
10
00
10
10
10
00
11
01
00
11
00
00
10
10
10
10
10
01
00
00
11
01
00
00
00
11
10
00
10
10
01
00
11
00
00
01
11
01
10
11
00
00
01
10
11
01
00
10
11
10
00
00
11
00
10
00
00
11
01
10
10
11
01
01
01
01
01
00
11
10
01
01
10
10
00
10
11
00
00
10
11
10
01
10
10
11
10
11
01
00
11
10
00
10
10
00
01
00
00
10
10
10
00
00
10
00
00
01
01
11
00
10
10
01
00
01
10
10
10
00
00
10
01
01
00
11
10
01
01
00
00
11
00
00
01
00
11
10
00
10
00
11
10
01
00
00
00
10
00
00
00
10
10
00
10
00
01
11
10
00
10
01
10
00
00
11
00
00
10
00
11
10
00
00
11
11
01
11
01
00
11
11
11
10
00
00
10
00
10
10
01
01
11
11
00
10
10
00
01
10
10
00
00
00
10
11
10
10
10
01
00
11
11
00
01
00
00
10
10
01
11
10
11
00
00
01
10
00
00
10
10
10
00
10
00
00
00
00
00
01
11
00
11
01
11
10
10
10
01
00
10
00
10
11
00
00
00
01
11
10
10
00
10
11
11
10
11
00
00
00
10
10
01
10
10
11
01
10
00
00
00
00
10
11
01
11
10
00
00
00
00
11
00
01
10
10
10
11
10
01
10
00
10
10
00
01
10
10
11
01
11
10
00
11
01
10
11
01
01
10
10
10
00
00
10
01
00
00
10
00
10
10
00
10
00
00
10
00
11
01
11
10
10
01
00
10
01
00
10
01
11
00
01
01
10
10
10
10
01
01
10
00
00
01
10
10
10
00
00
10
00
00
01
10
10
10
11
10
01
00
00
10
00
01
11
11
10
11
00
01
10
00
00
10
10
10
01
00
10
10
01
10
01
10
01
10
10
01
00
01
00
10
10
10
11
10
11
00
10
01
01
11
00
01
01
10
10
00
10
10
10
00
00
10
10
10
00
00
01
00
00
10
11
00
11
10
01
01
10
01
01
11
10
10
01
00
10
11
00
00
10
11
00
00
11
10
11
10
10
01
00
11
10
10
00
11
10
11
11
01
01
11
10
00
10
10
10
10
00
01
11
10
10
10
00
10
10
01
00
00
10
11
10
10
01
10
10
10
11
01
01
00
10
11
00
11
10
10
00
10
10
00
00
01
10
10
00
11
00
00
01
01
10
10
00
10
00
00
10
00
10
00
01
00
01
11
01
10
00
10
00
10
00
10
10
01
00
11
10
10
00
01
10
01
00
00
00
10
00
00
00
10
00
00
00
00
11
11
01
01
10
11
10
00
00
11
10
00
00
10
00
00
00
10
00
01
00
10
11
11
01
00
01
00
01
00
10
10
00
00
10
10
10
10
00
10
00
11
00
01
11
00
10
10
01
10
00
00
10
10
01
10
11
10
00
00
10
10
01
10
11
00
00
10
01
00
11
10
00
01
11
10
00
10
11
00
01
00
11
11
00
10
10
11
00
00
10
00
10
10
01
11
00
11
10
01
01
00
00
11
10
10
11
01
01
01
00
00
00
10
11
11
10
01
10
10
10
01
00
11
00
00
11
10
00
10
01
00
11
10
01
11
11
00
00
01
10
10
00
11
10
10
00
01
01
00
00
10
00
00
11
00
01
10
10
10
01
11
11
10
00
00
00
10
01
00
10
00
00
10
10
01
11
10
01
10
11
10
10
00
00
11
11
10
01
00
10
00
11
00
00
10
11
10
00
01
11
10
00
10
10
10
00
10
00
01
00
10
00
00
10
10
10
00
00
11
00
01
00
00
00
10
10
00
10
11
01
00
00
10
01
00
00
11
00
10
00
01
11
11
00
00
00
11
00
00
10
11
01
10
10
01
01
11
10
00
10
00
00
10
01
00
10
10
10
00
10
01
01
11
11
10
01
00
00
01
11
11
11
00
11
10
00
10
00
00
10
00
00
01
11
10
11
10
10
00
10
11
01
00
10
10
11
10
01
00
10
01
11
01
01
01
10
10
01
10
00
01
10
10
00
10
00
10
00
00
00
11
11
10
10
10
11
01
11
10
00
00
00
01
00
01
10
10
11
11
00
01
10
10
10
01
00
11
10
01
01
10
00
00
00
11
01
10
01
11
11
00
00
10
00
11
00
01
10
10
00
11
00
11
01
00
01
01
11
10
11
01
00
10
11
00
11
10
01
10
10
00
00
00
00
11
10
10
00
10
00
10
01
01
10
01
00
10
00
01
11
00
10
10
11
01
10
10
10
00
01
00
00
10
10
11
00
00
10
00
00
10
10
11
11
10
10
10
00
10
00
10
11
00
00
01
10
10
00
10
01
10
10
10
00
00
10
11
10
11
00
01
01
10
00
10
00
00
00
10
00
00
01
01
11
01
11
10
00
11
00
00
00
11
11
00
01
00
01
10
11
11
10
00
00
01
01
00
10
11
10
11
01
00
01
10
00
10
10
01
00
00
10
01
10
11
01
00
10
10
01
11
10
11
00
10
00
11
10
10
00
01
00
11
00
10
00
10
00
01
01
10
10
10
10
11
10
00
00
11
01
11
10
00
11
00
10
10
00
11
10
10
11
10
00
00
00
11
10
00
10
01
00
00
00
00
11
00
01
10
01
11
01
01
00
00
00
10
01
10
10
11
11
10
00
00
00
11
00
00
10
00
10
00
00
10
10
11
01
01
01
01
11
00
00
11
10
00
01
00
10
11
00
00
11
11
00
00
10
10
10
00
00
11
10
00
01
01
10
11
10
01
11
11
01
10
01
11
00
01
10
11
01
10
00
00
10
01
10
10
00
10
10
11
00
11
10
00
00
01
10
00
10
10
10
01
00
10
00
11
00
00
00
00
10
01
00
00
11
10
11
01
00
11
10
00
01
10
10
00
00
00
10
10
00
00
00
01
01
10
10
00
00
00
10
00
11
00
00
10
10
00
00
01
11
10
01
00
01
11
00
01
10
00
11
10
00
00
01
00
00
10
10
00
10
10
01
00
00
10
10
10
00
10
11
10
00
00
10
00
10
00
00
10
00
10
11
11
10
10
11
10
10
01
00
11
10
01
11
01
00
10
10
01
10
11
01
00
00
00
10
10
11
10
01
00
00
00
11
10
01
11
11
00
00
00
00
01
11
11
00
00
10
10
10
01
00
10
00
01
10
00
00
10
10
11
01
10
01
10
11
01
00
00
01
00
00
11
10
01
10
10
00
00
10
00
10
10
11
10
01
10
01
11
10
11
10
10
00
00
10
01
00
11
10
00
01
10
10
10
10
00
00
10
10
00
00
10
10
00
11
11
11
10
10
11
01
10
00
01
11
00
11
11
00
00
01
01
11
00
01
10
10
10
10
11
01
00
01
00
00
10
11
01
00
11
10
00
10
00
00
10
00
01
10
01
01
10
00
00
01
10
10
00
01
11
00
00
11
10
00
00
01
00
10
10
01
01
11
00
00
10
01
11
10
10
01
01
00
00
01
01
11
01
11
10
10
00
10
10
01
11
11
11
10
00
00
00
00
10
10
01
10
10
10
01
00
10
10
10
10
10
00
00
01
10
10
11
10
10
00
00
00
11
10
10
11
11
00
00
00
00
10
00
01
10
01
10
10
10
00
00
01
00
10
10
00
11
11
10
01
10
11
10
01
11
10
00
01
11
00
01
10
00
00
10
10
10
00
11
10
10
00
11
11
10
10
00
00
10
11
00
01
01
00
10
11
01
10
10
10
00
00
10
00
10
11
10
00
10
11
11
11
00
01
00
10
01
00
11
01
00
10
10
10
00
10
10
01
10
00
10
10
01
11
10
01
00
10
00
01
11
11
10
00
01
01
11
11
01
00
00
10
10
00
01
11
10
01
11
00
01
00
11
01
11
01
01
10
11
00
00
11
10
00
10
10
01
11
10
10
01
01
11
10
00
00
10
00
11
11
00
01
00
10
11
00
00
00
11
11
01
01
10
11
11
10
10
00
00
10
10
01
10
00
00
11
00
10
10
10
10
00
01
10
11
00
00
11
01
00
11
00
10
10
01
01
11
01
00
10
10
01
10
01
00
10
10
10
00
00
00
10
01
11
11
11
11
01
01
00
10
10
10
00
00
10
01
10
10
10
10
00
00
10
01
01
11
00
00
10
11
01
10
10
01
00
10
11
01
11
01
01
01
00
10
11
01
11
10
00
01
01
00
01
10
11
11
10
00
00
10
11
00
01
11
10
10
11
10
11
00
00
01
00
10
10
00
00
10
01
11
00
10
00
00
11
10
01
10
11
00
00
00
10
00
10
01
01
10
10
10
00
10
11
10
00
01
10
10
00
00
10
01
00
00
00
10
00
01
00
10
11
00
10
00
11
01
10
00
00
01
10
00
00
11
11
11
00
10
10
01
00
01
10
01
01
01
00
00
00
10
10
01
11
11
00
10
10
10
00
01
00
11
10
00
10
10
01
00
01
11
01
01
11
11
01
11
10
10
00
10
11
00
10
10
01
10
00
00
10
00
10
00
00
11
00
10
11
10
10
10
00
01
00
10
11
10
00
11
11
01
11
10
01
10
11
00
10
11
00
01
10
10
00
00
10
10
11
00
10
10
10
00
00
10
01
10
10
00
10
10
10
11
01
10
10
01
10
00
00
00
01
10
00
10
11
10
00
00
10
10
10
01
00
11
10
00
00
10
10
01
11
10
00
01
10
10
00
01
00
01
01
10
11
10
00
00
00
10
10
11
01
11
01
00
11
00
10
10
00
01
10
10
01
11
10
10
00
00
01
00
10
10
00
01
11
00
01
11
01
10
00
01
00
01
00
10
11
00
00
01
01
11
11
10
01
00
10
00
11
11
00
11
10
11
01
10
01
10
00
00
00
10
00
00
11
10
11
01
00
01
10
10
11
10
01
01
00
10
01
11
00
10
00
00
00
11
10
00
01
10
00
10
11
10
11
00
10
00
01
01
10
00
00
00
00
00
00
01
11
01
11
00
01
11
10
00
10
11
01
00
11
10
10
00
01
10
10
10
01
10
00
10
10
10
01
00
11
00
10
01
10
00
01
00
11
01
00
11
01
10
00
00
11
10
00
01
10
01
10
01
11
10
00
00
01
10
10
00
10
00
11
11
00
11
11
10
10
00
01
01
10
10
00
10
10
00
00
10
11
01
01
00
10
10
01
10
11
00
00
10
10
10
00
00
00
10
00
10
10
00
11
00
10
00
10
10
10
00
00
00
10
00
01
00
11
11
10
11
01
00
10
10
11
10
10
10
01
01
11
00
00
00
10
10
11
00
00
11
01
10
01
10
00
11
00
00
10
10
00
00
01
00
01
11
10
01
11
00
00
00
10
00
00
11
01
11
00
11
01
01
10
10
01
00
00
10
10
01
00
10
10
01
10
01
00
10
00
00
00
01
00
11
00
00
01
10
00
10
10
00
10
10
10
10
00
11
00
11
10
11
00
01
10
11
10
00
00
10
10
10
10
00
01
10
00
00
00
00
01
10
11
00
00
11
10
00
00
10
10
01
01
10
00
00
00
00
00
00
10
00
00
00
10
11
11
00
00
11
11
10
11
00
00
01
01
01
11
11
00
00
00
10
01
00
10
10
10
10
10
00
00
11
00
01
10
01
00
01
00
10
00
10
10
00
01
00
01
10
01
10
01
00
11
00
10
01
11
10
00
01
11
10
00
10
00
01
10
01
00
00
10
01
10
10
10
00
00
10
01
00
00
10
11
00
00
01
00
00
00
10
11
01
01
00
01
01
11
00
10
11
01
00
11
10
00
10
10
10
00
10
00
01
11
00
01
10
00
00
11
11
00
00
10
11
01
00
00
10
10
01
10
11
00
11
10
11
10
01
00
01
10
11
10
01
00
11
11
00
00
11
11
11
01
00
00
00
10
10
00
00
11
00
00
11
10
11
01
11
10
01
10
11
00
00
00
11
11
01
10
11
00
00
00
10
10
10
10
00
00
10
11
01
11
10
00
00
10
00
01
10
10
01
10
10
11
00
01
10
00
00
00
00
11
10
10
10
10
00
10
10
00
00
10
00
10
10
11
10
10
01
10
01
01
11
01
00
10
10
00
00
11
11
01
10
00
10
10
10
11
00
10
01
01
10
00
10
01
00
00
11
01
00
10
11
10
00
00
10
10
10
10
00
10
10
00
01
10
11
00
01
11
00
00
00
11
10
00
00
11
10
00
00
11
00
00
01
00
11
11
10
11
00
10
10
00
00
10
01
00
10
10
00
11
00
00
11
10
00
00
11
10
00
00
00
11
01
10
10
11
10
01
11
01
10
10
11
01
10
10
10
00
00
10
01
01
11
00
01
10
01
10
11
00
00
10
10
00
00
10
10
00
10
11
01
11
11
01
00
00
11
00
10
10
11
01
00
10
01
00
00
01
10
10
10
00
01
10
10
00
00
11
10
10
00
11
11
11
00
10
10
00
11
01
11
10
01
10
01
11
11
01
00
10
00
00
10
10
10
00
11
10
00
11
00
10
10
00
00
10
11
10
10
00
01
10
00
01
10
01
10
10
11
10
00
11
11
01
10
00
01
00
00
10
00
00
11
10
01
10
00
01
01
10
11
11
00
01
00
10
01
01
11
11
10
10
00
00
00
10
00
01
11
10
10
10
10
10
10
01
10
10
00
10
10
11
11
00
10
10
11
11
10
00
00
10
10
01
10
00
10
10
00
00
00
10
10
10
00
00
10
01
10
01
11
10
11
10
00
10
00
11
10
10
00
00
10
01
10
00
01
10
11
01
00
10
00
01
10
00
01
10
00
10
10
10
00
01
01
00
10
00
10
00
10
00
10
10
10
10
01
00
10
00
11
10
00
11
00
01
10
00
10
10
01
10
00
10
10
01
00
00
11
00
10
01
00
11
01
01
11
01
01
10
00
00
00
10
10
01
00
10
10
10
11
10
11
01
01
10
10
10
00
01
00
00
11
10
11
00
01
10
00
01
01
10
10
10
00
00
10
00
10
00
01
00
10
10
00
11
01
00
10
10
00
10
00
00
11
11
01
00
00
00
10
11
00
01
10
10
01
11
10
10
00
01
01
01
10
00
00
01
00
11
01
00
10
11
10
10
00
00
10
10
00
00
10
00
01
11
11
01
01
11
11
00
11
01
00
00
01
10
11
10
00
10
10
00
00
10
01
10
10
00
00
01
10
00
00
10
11
01
01
01
00
10
10
10
01
00
11
10
10
00
01
01
00
00
10
00
01
11
00
11
11
00
10
11
00
00
11
00
11
10
01
10
11
10
00
00
00
10
10
11
00
01
01
01
11
00
01
10
11
00
00
10
10
11
00
00
11
00
10
01
00
10
01
10
00
00
11
00
00
00
01
10
10
00
10
10
00
00
10
00
11
11
00
01
11
10
11
11
01
00
00
11
00
01
10
01
01
11
00
01
10
11
00
00
11
10
00
11
10
10
00
01
10
00
00
10
11
11
01
01
00
11
01
10
01
10
11
00
10
11
01
00
00
00
11
10
00
00
00
10
01
00
10
11
00
10
01
00
10
00
10
01
00
10
10
11
00
11
10
00
00
10
00
10
01
00
00
00
10
00
10
00
00
10
00
11
00
11
11
00
10
10
00
10
11
01
10
01
00
10
11
01
00
00
11
11
00
00
10
00
01
00
11
11
10
01
00
10
10
11
00
00
00
10
10
00
10
00
11
11
11
10
01
10
11
10
11
11
01
00
10
01
00
10
10
10
00
00
00
10
00
00
11
10
00
00
01
01
11
00
01
10
10
10
01
01
01
10
00
00
10
00
11
10
10
00
00
00
10
10
00
11
10
00
00
10
01
10
00
00
00
10
00
01
10
10
01
00
10
00
11
10
00
01
10
00
11
00
01
00
11
10
10
00
01
00
10
11
01
00
11
10
01
10
10
00
01
11
11
00
10
11
01
00
01
10
11
00
00
10
11
00
00
00
10
11
00
00
00
01
00
00
11
10
01
00
00
10
11
00
11
00
11
00
01
01
11
10
00
01
00
00
11
11
00
01
11
10
11
00
10
00
01
10
00
00
10
11
00
11
00
01
10
11
10
00
10
10
10
00
00
10
00
00
11
00
10
11
00
00
11
00
00
10
00
00
01
10
10
00
00
11
10
10
00
00
10
10
10
01
10
10
10
01
10
00
00
00
10
11
00
10
01
10
11
01
00
01
10
11
00
01
10
00
00
10
11
11
00
00
11
11
10
01
01
10
01
11
10
00
10
10
01
00
10
10
10
01
10
00
00
01
11
10
10
11
00
01
10
10
00
00
10
00
01
10
01
00
00
01
00
11
01
10
11
10
10
10
01
00
10
11
11
00
01
00
11
11
00
00
00
01
00
10
10
10
11
00
10
00
00
10
00
00
00
10
10
10
11
11
00
10
00
11
10
01
10
11
00
10
00
10
11
00
10
10
10
11
00
01
11
00
00
00
10
10
10
00
10
10
11
10
01
00
10
01
10
01
01
00
10
00
00
00
10
10
10
00
10
01
00
00
00
10
01
00
11
00
11
00
10
10
10
00
10
10
01
10
00
01
00
00
10
01
10
10
11
10
00
00
10
10
00
10
00
00
01
11
00
00
11
00
01
11
10
10
00
10
01
10
10
01
00
10
10
00
00
00
10
01
11
11
10
00
00
10
10
00
10
00
01
10
10
10
01
11
11
01
01
01
10
10
10
00
01
10
10
11
10
11
00
00
00
01
11
11
11
01
01
01
00
00
00
11
10
10
10
00
00
01
00
10
10
10
00
10
00
11
00
10
11
11
10
01
10
11
00
01
10
10
00
01
00
00
00
11
00
10
00
01
00
11
11
01
10
10
10
00
10
11
00
00
10
00
11
00
10
01
01
11
10
00
01
00
10
10
00
00
00
11
10
11
00
10
00
10
11
11
01
01
11
11
10
01
00
10
11
01
00
00
00
10
11
01
01
01
11
10
00
00
10
10
00
00
11
11
11
01
00
10
10
10
00
10
10
01
00
10
00
00
00
10
10
01
00
11
11
01
10
11
01
01
00
01
10
11
00
11
00
00
10
10
00
10
11
00
10
00
10
00
00
00
10
00
00
10
01
10
00
01
00
00
10
11
01
01
10
10
00
10
11
11
10
00
01
10
10
01
00
11
00
10
10
10
00
00
00
01
10
01
10
11
10
11
10
10
11
00
00
00
00
11
10
11
10
00
00
00
00
10
11
00
11
10
00
01
10
10
01
11
10
00
00
01
10
10
00
10
10
10
00
00
11
01
10
10
00
10
01
01
00
00
10
10
00
00
00
00
00
00
11
00
00
10
11
11
10
00
01
00
00
10
01
11
10
10
01
01
11
01
01
10
10
11
10
01
00
00
10
10
01
10
11
00
10
10
00
00
00
11
11
10
10
10
11
00
00
10
11
00
00
00
10
10
01
00
00
11
10
01
01
11
10
10
10
00
01
00
11
10
11
01
10
01
00
11
10
01
01
11
00
01
10
10
10
00
10
00
10
10
10
01
00
01
11
00
01
00
10
00
11
10
10
01
00
11
00
00
00
11
00
10
10
00
00
00
01
10
10
00
01
01
11
10
01
10
10
00
10
11
00
10
10
10
01
01
01
11
11
10
10
00
00
10
00
01
10
10
00
10
10
10
01
00
00
11
10
10
01
10
11
00
00
00
10
10
11
10
00
10
10
11
00
00
00
11
11
11
01
11
01
11
10
00
00
10
10
00
00
10
10
00
01
11
10
11
10
00
10
00
00
10
10
00
10
10
00
10
10
00
00
10
00
11
10
01
00
11
10
01
00
00
10
11
10
11
00
00
00
11
00
00
00
10
10
00
01
11
11
10
10
10
00
01
10
10
00
00
10
11
01
00
11
10
11
10
11
01
01
00
00
10
00
10
10
00
01
10
00
10
11
11
01
11
01
01
10
11
01
10
11
10
00
01
00
01
11
10
01
01
00
10
00
00
11
00
00
00
00
11
10
00
11
10
10
00
10
00
00
11
10
11
00
10
00
00
10
10
00
00
11
11
01
00
11
10
10
10
00
00
00
11
10
00
00
10
10
10
00
00
10
00
00
01
00
11
10
11
10
10
01
10
00
10
10
00
10
00
10
01
00
00
11
10
00
00
01
10
00
10
01
01
10
01
00
10
10
10
10
01
01
11
10
01
10
01
00
10
10
01
10
10
10
11
10
00
01
00
00
00
00
00
00
11
01
10
11
11
00
10
00
10
10
00
01
00
00
10
10
00
10
11
01
00
10
10
00
10
10
00
10
00
00
10
10
10
10
01
01
00
10
10
00
01
10
01
11
10
10
11
00
00
10
11
00
00
01
10
10
11
00
11
00
01
10
00
10
11
00
00
01
10
11
00
00
10
00
10
00
01
11
00
10
01
10
10
11
10
00
00
01
10
01
10
00
10
00
10
10
11
00
10
00
00
10
10
00
10
10
00
00
00
00
10
00
00
00
01
00
01
00
00
00
11
00
00
10
10
01
00
00
11
00
10
10
10
00
00
00
00
00
01
11
10
11
00
00
00
11
00
01
00
00
10
10
00
00
01
10
10
11
01
00
01
00
11
11
01
01
11
01
01
11
11
10
01
00
00
11
10
01
11
00
01
11
10
10
00
10
00
11
00
10
00
00
10
00
00
10
00
00
10
00
11
01
00
10
00
00
11
00
10
10
00
00
00
00
11
01
01
00
11
01
01
00
10
00
00
11
10
10
10
00
11
01
01
11
00
11
01
00
11
10
00
01
10
11
11
01
00
01
00
10
00
00
00
10
10
00
01
11
11
11
00
01
00
00
11
01
00
10
00
10
10
00
01
00
10
10
00
11
00
00
00
10
00
00
10
11
00
10
10
10
10
00
00
10
10
00
10
10
10
00
10
10
10
01
10
10
10
01
10
10
00
10
10
11
00
00
00
10
01
10
10
01
10
10
10
00
00
01
11
01
01
11
00
00
00
00
10
10
01
11
10
01
10
11
01
10
01
00
00
10
10
10
11
11
01
01
10
01
10
00
10
10
01
00
11
10
10
10
00
00
11
00
00
11
00
11
00
01
11
10
10
11
01
01
11
10
11
00
10
01
01
00
10
10
00
10
11
00
00
11
10
00
11
11
01
00
01
00
11
11
10
00
10
10
01
00
10
01
01
10
10
10
00
10
00
01
11
11
00
00
11
11
01
00
11
10
00
10
10
00
01
11
11
00
10
11
00
00
11
00
00
00
00
10
10
00
10
10
01
10
11
11
10
10
00
00
00
00
01
10
10
01
00
11
10
10
10
10
10
00
01
10
00
00
00
10
00
00
10
00
10
10
10
10
10
01
10
10
10
00
00
00
01
00
10
10
00
00
10
10
10
11
00
00
00
11
10
01
10
01
11
11
11
11
10
00
00
10
00
11
10
11
00
01
01
01
10
11
10
01
01
00
00
01
00
10
11
00
01
11
11
00
10
10
10
00
00
11
11
00
10
11
01
11
10
00
01
10
01
00
10
10
00
10
01
10
00
11
10
00
11
00
01
10
11
10
00
11
10
00
11
00
00
10
10
10
00
01
10
01
00
00
00
00
01
11
11
10
01
00
10
00
11
01
01
11
10
00
00
00
11
10
10
01
01
10
01
10
10
01
00
11
00
00
10
00
00
00
00
10
11
00
11
00
00
11
00
00
10
01
00
01
10
00
11
11
11
11
10
01
00
10
01
00
10
00
11
11
01
00
11
10
00
00
00
10
11
00
01
01
11
01
00
00
11
01
01
10
10
01
00
11
10
11
00
11
00
00
01
10
10
00
10
10
10
00
10
00
00
00
10
10
01
10
00
10
00
10
10
00
00
11
11
11
00
10
11
10
00
01
10
11
11
01
00
00
01
10
11
00
01
10
10
01
00
11
10
10
10
01
00
00
10
11
00
00
00
00
10
10
01
10
00
00
00
10
10
10
10
10
00
11
10
00
00
00
00
10
10
10
01
00
00
01
11
01
10
10
10
11
10
00
01
11
10
00
10
01
00
01
10
00
00
10
00
01
00
11
00
10
01
10
00
00
10
11
11
10
11
00
01
11
10
01
01
10
10
00
00
00
10
10
10
01
10
00
10
10
00
00
10
10
01
00
10
01
00
10
10
10
10
01
10
10
00
11
10
00
10
00
11
10
01
10
01
00
10
10
10
10
00
01
11
10
00
11
01
00
00
10
10
01
10
01
01
00
10
00
11
11
00
00
00
10
11
00
01
10
11
00
00
01
10
00
10
11
01
00
10
00
01
11
01
01
11
11
00
01
10
11
00
10
10
11
10
00
01
01
00
00
00
11
01
01
10
10
10
10
01
00
10
10
00
10
00
10
00
10
10
00
11
01
10
00
11
10
10
01
01
01
00
11
10
11
10
11
00
00
10
11
01
01
00
00
00
00
11
10
01
00
10
00
01
01
11
00
10
00
00
00
10
00
00
11
10
11
10
00
10
10
11
11
00
00
00
00
10
10
00
01
10
01
11
10
01
10
10
01
00
11
10
00
10
11
00
00
11
10
10
11
10
10
11
10
00
10
10
11
01
01
10
10
00
11
00
00
11
00
10
01
00
10
10
10
00
10
11
00
00
00
10
10
10
01
11
10
01
00
11
10
10
00
10
11
00
00
01
01
10
00
10
00
11
11
10
00
00
11
11
00
01
10
11
01
00
01
10
00
11
00
00
11
01
11
10
11
01
00
10
00
01
10
10
00
10
10
01
01
11
10
10
01
10
01
10
11
00
00
11
10
11
00
11
00
00
10
00
10
10
01
00
10
00
10
00
10
01
11
00
00
10
10
10
10
00
00
11
00
00
10
10
10
10
10
00
00
11
10
01
11
10
00
00
00
10
10
11
10
00
01
10
10
10
00
00
00
01
11
11
11
10
00
01
10
11
00
00
11
00
00
00
00
11
10
10
00
11
10
00
10
10
00
10
10
01
10
00
01
00
00
11
01
10
01
11
01
01
01
10
10
01
11
01
10
10
01
01
01
10
11
00
00
00
00
10
00
00
10
01
00
00
10
01
10
01
10
10
00
00
10
10
00
00
10
10
00
00
01
10
11
10
11
00
01
00
10
10
00
00
00
00
11
00
10
10
10
01
11
01
10
10
10
00
10
00
00
10
10
11
10
11
10
00
10
00
11
10
00
10
10
00
01
00
00
10
11
10
10
01
10
01
11
11
10
11
00
10
01
00
00
10
10
11
10
01
00
00
00
01
01
01
01
00
10
10
10
00
01
11
11
00
00
00
00
10
10
00
00
10
10
10
11
00
11
10
11
01
00
00
00
10
01
00
11
00
10
10
00
00
00
01
01
00
00
00
00
00
00
00
00
00
01
10
10
10
00
10
11
00
00
11
00
01
11
00
01
10
01
10
00
00
10
10
00
01
10
10
00
10
11
01
01
10
00
01
00
10
00
10
11
11
11
00
00
11
11
01
11
10
00
00
10
10
00
11
00
11
10
10
10
00
00
11
10
01
00
11
00
11
01
01
11
01
11
11
11
00
01
11
10
00
00
11
10
00
00
10
01
00
10
11
10
00
10
11
00
01
10
01
01
11
01
01
11
10
11
00
10
10
00
00
10
00
00
10
01
00
11
01
00
11
11
00
00
00
10
11
00
00
10
10
11
00
00
00
10
10
10
10
01
00
10
10
10
11
10
01
10
01
00
10
01
00
10
00
10
10
00
10
10
01
00
10
11
01
10
10
00
01
10
10
00
00
00
10
00
10
10
00
00
10
10
11
10
00
11
00
10
00
00
10
10
01
00
11
00
00
10
00
10
10
10
00
11
11
11
00
10
00
01
01
00
00
10
11
01
11
11
10
01
10
10
01
00
10
10
00
00
10
10
10
00
00
10
00
00
00
00
10
11
00
10
00
01
00
10
10
00
00
00
10
10
00
00
10
11
01
11
10
00
00
10
10
01
01
10
10
00
00
10
01
10
00
11
01
01
11
01
11
01
00
10
11
00
00
10
10
00
01
10
10
00
01
00
00
01
10
10
11
10
01
11
01
01
11
10
01
01
11
10
00
11
00
01
11
10
01
11
10
01
00
10
10
00
00
11
00
10
00
00
10
00
01
10
11
10
00
10
10
11
01
01
10
01
00
11
01
10
10
10
10
00
10
11
01
11
10
01
11
11
10
10
00
01
11
01
01
10
11
11
00
00
11
01
11
10
01
10
00
01
00
10
10
00
01
00
00
00
01
10
11
11
11
00
00
00
11
00
00
00
11
00
00
01
00
10
11
11
10
10
10
10
10
00
11
11
11
10
00
00
11
00
10
10
00
00
11
00
10
00
10
10
00
10
01
00
11
11
00
00
10
10
01
01
11
00
01
10
00
10
00
11
10
00
11
10
00
11
00
00
10
00
11
11
10
00
00
10
00
00
10
10
01
00
00
11
01
00
10
11
10
00
00
10
00
00
00
00
10
01
00
10
11
11
00
01
00
00
10
11
11
11
00
10
10
11
10
00
01
10
11
01
00
00
11
10
01
00
10
10
00
10
00
10
00
10
10
00
00
01
10
00
01
00
10
10
00
00
00
10
00
11
10
11
00
10
10
10
00
01
00
10
10
00
10
01
11
00
10
11
01
01
10
11
01
00
11
00
10
10
10
00
00
00
11
01
00
11
00
01
00
11
10
10
01
01
10
10
01
00
00
11
10
10
01
01
10
01
00
00
00
00
10
10
00
00
10
00
00
10
11
10
10
00
00
00
00
10
01
10
00
10
10
01
00
00
00
01
10
00
10
10
10
00
00
10
01
00
00
01
11
01
01
11
10
11
01
10
11
01
00
10
00
00
01
00
11
11
11
01
10
00
00
10
10
00
01
00
01
00
10
10
00
10
10
01
01
00
00
10
10
10
01
11
11
11
10
00
00
10
10
01
01
11
11
01
10
00
00
11
00
01
10
10
00
10
10
10
01
00
10
10
00
00
11
00
00
10
11
10
01
10
11
00
00
00
00
10
00
10
10
01
11
10
10
00
10
10
00
00
11
10
10
10
01
10
01
00
10
10
10
01
10
00
00
00
11
01
00
10
10
10
00
00
10
10
10
01
11
00
10
00
00
10
10
00
11
10
11
11
00
00
01
11
11
00
00
01
01
10
00
10
10
11
11
01
00
11
01
10
11
01
10
11
01
01
00
11
10
00
01
11
10
00
00
10
00
10
01
10
01
01
10
10
10
10
10
11
01
01
00
11
01
11
11
00
00
00
01
11
00
10
11
10
00
00
11
00
01
00
10
01
11
11
11
00
10
11
10
10
10
01
00
01
01
01
11
10
00
00
00
10
00
00
10
01
00
10
10
11
10
00
10
10
00
11
11
10
00
10
00
01
10
00
00
10
10
11
00
11
10
00
10
00
00
11
00
00
01
11
10
00
00
10
00
10
10
00
00
10
00
10
10
10
10
10
00
11
00
10
01
10
01
01
01
10
01
00
10
11
00
00
10
01
00
10
00
00
10
00
10
10
10
10
11
10
11
01
00
00
11
11
01
00
11
01
00
00
01
10
11
00
00
00
00
10
10
00
10
01
10
10
00
10
00
11
11
11
10
00
00
00
11
10
00
00
01
00
11
01
10
00
01
10
01
00
10
11
00
01
00
01
11
01
10
10
11
10
00
00
00
00
00
00
10
11
10
11
00
10
10
10
11
11
10
00
00
10
00
11
10
01
01
10
00
00
10
10
00
10
01
11
10
00
10
00
01
00
11
00
00
01
10
00
11
00
00
00
10
10
11
00
00
00
01
11
10
10
00
00
10
01
10
10
00
10
00
10
00
10
10
00
10
11
01
01
11
00
10
00
10
00
00
10
11
01
11
00
00
00
01
10
10
00
11
11
01
10
10
10
10
00
00
00
11
01
00
10
00
10
00
00
10
00
00
00
00
10
00
11
00
11
00
10
01
10
10
10
11
01
00
00
11
10
00
11
00
11
00
00
00
10
10
00
11
10
11
00
11
00
10
11
11
00
01
10
10
11
01
01
10
01
00
11
01
00
10
10
01
10
01
01
10
10
10
00
00
00
11
10
00
01
00
00
10
11
11
11
10
01
10
01
00
11
00
10
10
10
00
10
11
00
11
01
01
00
10
00
00
00
10
11
01
10
01
00
00
01
10
11
00
01
10
10
00
10
00
01
10
10
00
00
10
01
00
10
11
00
00
11
10
01
11
10
00
00
00
00
01
11
10
00
00
10
10
10
01
00
10
00
00
10
00
10
00
00
10
01
10
01
00
11
10
10
11
00
10
11
11
00
00
00
01
11
10
00
10
00
11
00
10
11
01
00
00
00
10
11
11
00
01
00
10
11
10
01
11
10
01
00
01
10
10
11
00
10
11
00
00
10
01
00
00
00
10
10
00
10
10
10
00
01
00
11
11
00
00
01
10
00
01
00
10
11
01
01
00
01
00
10
11
00
00
11
10
00
10
11
10
11
00
00
01
10
00
01
10
10
00
00
01
10
00
00
10
10
11
11
01
01
01
00
10
10
00
10
10
00
11
10
00
10
10
11
10
01
11
00
01
10
01
10
10
01
11
10
00
00
10
00
01
10
11
00
10
11
10
00
11
10
10
00
00
11
01
00
10
10
00
11
10
00
00
01
10
11
00
10
00
11
11
00
10
11
10
00
00
10
10
00
10
00
10
00
11
11
01
00
10
00
11
10
10
01
00
00
10
10
01
01
00
10
11
01
00
01
10
11
00
10
10
00
10
11
01
00
00
01
10
11
01
01
00
10
10
00
10
11
00
10
10
00
10
11
11
00
11
11
00
10
10
10
11
01
00
10
10
00
00
01
10
00
01
11
00
00
10
10
11
10
00
00
10
10
11
10
01
10
01
00
11
00
00
01
10
00
00
10
00
10
01
00
10
10
00
01
01
00
10
01
00
10
10
00
01
00
11
10
11
01
10
11
00
10
11
00
10
01
11
00
00
11
11
00
01
10
00
10
01
10
10
01
00
01
11
11
00
10
01
11
11
00
11
00
01
10
01
00
10
01
10
10
01
10
11
01
00
01
10
11
01
00
00
10
00
00
11
11
00
00
10
01
10
10
11
00
11
10
01
00
10
11
01
01
10
00
00
10
00
00
00
10
10
10
00
11
10
11
00
00
00
01
01
10
10
00
01
10
10
00
10
11
10
01
00
00
00
00
10
01
11
10
10
00
00
00
10
10
00
00
10
01
01
11
10
10
10
01
11
10
11
00
01
10
10
11
00
00
00
00
10
10
10
01
00
01
10
00
01
10
11
00
00
10
10
10
01
01
10
10
00
11
10
00
10
10
00
00
00
10
10
10
00
10
10
00
10
01
00
10
11
00
11
00
01
00
11
10
10
01
01
10
01
10
10
00
10
11
10
00
00
00
00
11
11
00
01
11
10
00
01
10
10
00
01
11
00
10
10
00
01
10
11
10
11
00
10
00
00
00
00
00
10
00
11
01
01
10
00
01
00
10
10
11
00
10
10
00
11
00
01
10
00
01
00
10
00
11
10
10
00
01
00
00
10
10
00
00
00
11
11
00
10
10
01
01
11
10
10
10
00
00
10
00
00
10
00
01
10
10
10
10
00
11
01
00
10
10
00
00
10
11
10
10
10
01
01
10
00
10
10
00
00
00
01
10
11
11
11
01
00
10
11
10
01
10
10
00
10
00
10
00
10
00
00
10
11
00
00
10
10
10
11
01
11
00
10
00
10
10
00
01
10
11
00
11
00
01
10
10
01
00
00
11
01
00
10
10
11
00
01
11
01
00
10
10
00
01
10
01
01
00
00
00
00
01
10
01
00
10
11
00
01
10
01
11
01
00
10
11
10
10
01
00
00
10
00
00
10
10
01
10
10
10
11
00
11
00
00
00
10
10
00
00
00
10
00
00
01
10
10
00
10
11
11
01
01
00
11
00
10
11
00
01
10
11
00
11
10
00
01
11
10
11
01
00
00
11
10
01
00
11
01
00
00
01
00
11
01
00
11
10
10
10
11
00
00
10
01
11
10
10
11
01
10
00
10
00
00
10
11
00
00
10
10
10
11
00
00
10
10
00
01
00
01
10
10
01
00
00
00
10
11
10
11
00
00
10
01
10
01
01
10
00
00
00
00
01
11
11
00
01
10
00
10
10
00
00
01
10
11
11
00
01
00
00
10
11
01
00
00
10
10
01
10
00
01
01
11
11
10
11
00
00
10
00
10
10
11
00
00
11
10
11
00
10
10
10
00
00
01
10
01
00
11
10
11
10
00
10
10
10
01
00
11
00
11
10
11
10
10
10
01
00
10
00
00
00
01
10
11
10
01
10
01
10
10
10
01
00
10
01
11
01
10
10
00
00
11
10
00
10
10
00
10
00
11
10
00
10
00
00
00
00
10
10
01
00
11
10
10
10
00
10
00
10
10
10
11
10
01
00
10
11
11
00
00
00
10
10
10
00
11
11
00
00
11
11
00
11
00
10
11
01
01
10
10
00
10
10
10
00
11
00
11
01
10
11
10
11
00
00
00
10
01
00
00
11
10
10
10
11
00
00
10
00
00
01
11
00
11
10
10
00
11
11
11
01
01
00
11
00
00
10
11
00
00
10
00
00
00
00
11
00
00
00
01
00
01
00
00
10
11
00
10
10
00
11
10
10
01
10
10
01
10
00
10
11
00
00
10
11
00
11
00
00
10
10
00
10
00
00
11
10
01
00
01
10
01
01
10
00
10
00
00
11
01
00
00
00
10
00
11
10
00
11
10
01
01
10
00
00
00
10
11
00
01
10
11
11
00
00
00
01
10
11
11
01
11
10
00
11
10
00
01
10
11
00
00
01
00
01
01
11
11
10
01
10
00
00
00
11
10
11
01
01
00
10
10
10
01
00
10
10
10
00
00
10
10
00
00
01
10
00
11
10
11
00
10
00
00
11
00
10
00
10
10
10
10
00
00
00
01
11
11
10
00
01
10
10
10
10
10
00
10
10
11
00
11
10
00
00
10
11
00
00
01
11
00
10
10
01
10
11
00
10
01
11
10
00
10
10
01
10
00
00
10
10
11
00
11
10
00
10
10
00
10
10
00
00
11
00
00
00
10
11
00
10
01
01
10
00
01
01
01
10
10
10
10
10
01
00
11
00
00
10
10
01
10
01
00
00
11
10
00
10
10
00
00
10
01
01
10
10
10
11
00
01
11
11
00
11
00
10
11
01
00
10
10
00
00
00
10
10
00
00
00
00
10
11
10
00
10
11
00
00
00
10
10
00
11
10
01
10
00
00
00
00
10
10
00
10
10
00
01
10
11
00
11
10
10
10
01
10
10
11
00
10
10
11
00
00
01
11
10
01
10
11
00
01
00
10
00
11
10
00
00
10
10
10
00
00
10
10
10
00
10
10
10
00
11
10
01
00
10
10
10
10
10
11
00
11
00
10
01
11
10
00
01
10
10
10
00
01
10
00
00
10
11
00
01
11
10
00
00
01
11
00
10
00
01
01
00
00
00
00
01
00
11
10
10
01
11
10
01
11
11
00
00
11
00
11
01
10
10
10
00
00
00
10
11
00
00
10
00
10
11
10
10
10
01
00
00
11
11
01
00
10
10
10
11
01
01
10
10
00
11
00
01
10
10
10
00
10
11
11
01
00
11
00
00
11
00
10
10
00
10
00
01
11
10
01
00
11
01
01
00
01
01
11
11
00
00
10
00
10
10
00
11
01
01
00
11
01
11
11
11
00
00
00
10
00
00
10
11
10
10
01
10
10
10
10
00
01
00
10
11
11
10
00
00
10
00
00
00
00
11
01
11
10
00
00
01
10
00
10
10
10
10
00
11
01
00
10
10
11
11
10
00
10
10
10
00
00
10
01
10
10
00
00
10
01
11
10
00
00
10
01
00
10
00
01
01
11
11
11
01
10
10
00
10
00
10
10
00
10
10
00
00
01
11
10
10
10
11
00
10
11
00
11
10
00
10
00
00
10
00
00
10
00
00
00
00
10
00
10
10
01
11
11
11
00
01
10
10
00
11
11
10
10
01
00
10
11
10
00
01
10
01
00
11
10
01
11
11
00
00
11
00
00
11
00
01
11
01
00
00
10
11
10
00
11
10
00
01
10
01
00
01
00
10
00
11
10
01
01
10
10
11
11
10
00
01
00
11
00
11
10
10
10
00
11
10
11
00
00
11
01
11
00
01
11
10
01
00
11
00
01
10
10
01
00
00
10
00
01
00
11
10
01
00
10
11
10
00
10
01
01
00
01
01
10
10
10
00
10
10
00
00
00
00
11
00
00
11
10
00
01
00
10
10
00
10
10
00
10
10
00
00
01
10
00
01
10
00
00
10
11
10
00
00
10
10
10
10
00
00
00
01
11
01
11
01
10
10
11
01
00
01
11
10
00
00
11
10
10
11
00
00
01
00
00
11
11
00
00
10
11
00
11
00
00
01
01
10
11
10
01
10
10
00
10
10
10
00
00
10
10
01
10
10
00
11
10
10
00
10
10
00
00
10
10
00
01
10
01
01
10
11
01
11
10
00
01
01
00
00
10
11
00
11
10
01
10
00
00
10
00
00
00
11
00
01
10
10
10
01
00
10
10
01
11
10
00
00
10
00
00
11
00
11
00
10
00
00
00
10
10
00
11
01
00
00
00
11
01
11
10
01
00
00
01
00
10
10
11
00
01
11
11
00
01
00
00
11
10
00
01
11
10
11
00
11
10
10
00
01
00
10
10
10
11
00
10
00
11
11
11
00
10
10
10
10
01
10
00
10
11
10
00
00
11
00
10
10
00
10
00
00
01
01
11
01
11
00
10
10
00
00
10
10
10
01
00
10
01
11
10
10
10
00
10
00
00
00
11
10
10
00
11
10
01
10
11
10
00
00
00
10
00
10
11
00
00
10
10
01
01
10
00
00
10
00
00
10
00
01
00
10
00
10
01
00
00
11
10
01
10
10
00
11
10
01
01
10
00
00
00
10
10
10
01
01
11
00
00
10
10
10
01
00
10
11
00
00
00
10
00
10
10
00
01
10
11
11
11
11
11
00
10
00
01
00
11
10
11
10
11
00
10
00
00
00
00
10
10
00
01
10
10
10
00
11
10
01
10
10
10
11
10
01
11
10
11
00
00
10
11
01
10
01
00
11
00
10
10
10
00
00
00
11
00
11
01
10
00
00
00
00
10
11
10
00
11
10
11
10
01
01
11
00
00
10
10
10
00
11
10
01
11
00
00
11
00
10
00
00
00
00
10
10
01
00
00
10
01
10
00
11
10
01
11
11
10
10
01
01
11
11
10
00
11
10
00
10
10
10
00
00
10
11
00
00
00
01
10
11
01
00
00
10
00
01
00
00
11
00
10
01
00
10
11
10
10
10
00
00
00
11
01
00
11
10
00
00
01
10
11
00
10
10
00
11
10
00
00
01
00
10
00
10
11
00
10
00
01
10
01
00
10
01
00
10
10
01
00
00
10
00
11
00
11
10
01
00
01
00
10
11
00
11
10
01
01
00
00
00
00
10
10
00
00
01
00
10
00
00
00
10
11
00
10
10
00
01
00
10
11
00
11
01
10
10
10
01
00
10
00
01
01
00
00
10
11
10
01
00
10
10
10
10
00
01
00
11
11
01
10
10
01
10
11
00
00
00
10
00
11
10
01
10
00
00
01
10
10
10
00
00
11
10
01
00
10
00
01
10
00
11
11
00
10
00
00
10
00
10
10
11
11
01
11
00
00
00
00
10
11
00
01
10
10
10
10
10
11
10
10
00
00
01
00
00
10
10
10
01
00
10
00
00
00
10
10
10
01
10
00
00
00
01
11
01
10
01
10
00
10
00
00
11
00
00
10
11
00
01
00
11
01
00
10
10
00
01
01
10
10
10
01
10
10
11
00
00
11
10
10
00
11
00
11
01
01
10
10
00
01
00
11
01
00
10
10
01
01
10
11
00
11
00
10
10
10
01
00
00
10
10
11
10
01
11
00
00
10
10
00
01
10
00
01
10
11
10
10
11
00
00
10
10
00
00
10
01
01
10
10
11
00
01
10
11
10
10
01
01
00
00
00
10
00
01
10
00
01
00
00
10
00
01
10
11
10
00
00
00
00
10
00
00
10
00
10
10
01
10
01
10
01
10
10
11
01
01
10
10
00
10
10
10
01
00
10
00
10
10
00
10
10
10
10
01
10
00
10
00
01
11
00
01
01
01
11
10
10
00
01
11
10
00
00
10
00
01
00
00
10
10
10
00
10
10
00
01
11
00
01
11
10
10
00
00
10
00
00
10
11
00
00
01
10
11
11
01
11
00
00
10
11
00
00
10
00
00
10
00
00
01
10
10
01
10
11
10
11
10
00
00
00
00
11
00
01
00
11
01
10
10
10
00
10
01
00
11
10
00
00
00
00
11
10
10
11
00
00
00
10
11
11
00
00
10
00
00
10
10
00
10
00
01
00
00
10
10
10
01
00
10
00
01
11
00
00
10
01
11
11
10
10
00
00
01
00
10
10
10
10
10
01
01
10
01
00
10
11
11
10
11
00
00
10
10
00
00
01
00
00
10
00
10
10
10
00
00
01
10
10
11
01
00
00
00
00
10
00
10
10
00
00
00
00
10
10
00
11
10
10
11
10
10
11
01
00
10
01
10
10
11
00
00
10
10
10
11
00
00
00
10
10
00
00
11
11
01
00
11
01
01
01
10
11
01
00
10
11
00
01
10
10
00
00
11
01
00
10
00
10
00
10
10
00
11
11
11
00
00
10
11
10
00
00
10
00
10
10
10
10
11
00
10
01
00
00
01
00
00
10
00
10
11
10
10
00
00
01
10
10
10
11
10
00
00
00
01
00
00
00
01
10
00
10
11
10
11
00
01
10
10
00
00
00
00
11
10
11
00
00
11
00
01
01
01
11
10
10
01
00
11
10
00
00
01
00
10
10
00
10
10
01
00
10
10
11
10
00
00
11
00
00
00
00
10
11
10
10
10
01
11
11
10
01
10
10
11
10
00
01
11
10
01
00
01
01
00
10
10
00
00
10
00
00
10
10
01
10
01
00
10
01
10
10
01
11
00
01
10
01
10
11
10
00
01
11
11
00
01
11
10
00
00
01
00
10
11
10
00
11
11
01
00
10
10
00
11
11
00
11
00
10
10
00
10
00
00
10
10
01
00
01
00
11
10
01
00
10
01
00
11
11
00
01
10
11
10
10
00
10
11
01
11
10
10
00
10
11
01
00
10
11
00
00
01
10
11
11
00
00
01
10
00
00
01
10
10
10
00
01
10
01
10
00
10
00
00
10
10
01
01
10
10
00
00
11
00
10
01
00
01
11
01
10
10
00
01
00
10
01
00
00
10
00
01
10
00
10
10
00
11
10
01
10
00
10
10
01
01
11
11
10
00
11
00
10
10
10
00
00
10
00
10
10
11
10
00
11
01
10
01
00
00
11
00
00
11
00
10
10
00
00
01
10
10
00
11
10
01
11
01
10
01
10
00
10
10
00
00
10
10
00
10
00
01
11
01
01
10
10
01
01
11
11
01
01
01
10
00
10
10
10
00
01
10
10
00
10
10
10
11
00
10
10
00
10
00
00
11
00
01
11
10
01
00
00
10
00
11
00
10
11
00
00
00
00
01
00
10
00
10
10
00
11
10
10
11
00
10
11
00
00
01
11
00
10
00
01
01
10
10
10
01
01
00
01
00
11
10
00
10
10
00
00
00
10
10
01
11
11
11
01
10
01
00
00
01
00
11
11
00
00
00
11
00
00
10
00
11
01
11
10
10
01
00
00
01
11
11
00
01
11
11
00
01
00
00
10
00
00
10
00
10
10
00
10
00
10
00
10
11
10
00
10
10
11
10
10
11
00
01
00
11
10
00
00
01
10
11
10
00
00
00
10
10
10
00
00
11
10
10
11
11
01
10
10
01
10
11
00
00
11
11
10
00
10
00
00
00
11
11
11
10
00
00
00
00
01
00
11
10
11
10
01
00
10
11
01
00
01
10
10
00
10
11
00
00
11
00
00
10
10
10
00
00
00
10
11
11
01
00
01
00
00
00
10
00
11
01
00
10
10
11
01
00
11
00
00
10
00
10
10
11
01
00
01
10
00
10
00
10
11
00
00
01
10
00
00
11
10
00
10
00
01
00
11
00
00
10
00
00
01
00
10
00
00
10
00
10
11
00
00
00
11
10
00
00
01
11
10
10
00
00
10
00
10
10
10
00
11
00
01
00
01
10
11
10
11
10
11
00
00
01
11
00
01
11
10
10
00
01
11
10
01
11
10
00
10
11
11
00
00
10
10
00
01
10
10
01
10
01
00
10
11
01
00
00
10
10
11
01
11
10
00
00
11
11
01
00
00
10
11
00
10
10
01
11
00
10
11
10
00
10
11
00
10
00
01
00
10
10
00
01
10
01
00
01
10
00
00
10
00
10
10
10
01
10
00
00
11
01
00
10
11
01
00
10
01
00
01
10
00
01
00
11
11
01
11
10
00
11
10
00
01
00
10
01
01
10
11
11
00
01
10
00
11
10
00
01
10
10
01
00
10
10
00
10
11
10
11
00
00
01
00
10
10
00
11
00
01
11
10
01
01
01
00
11
11
10
00
10
10
01
00
11
00
00
01
10
11
00
11
11
10
10
10
10
01
00
10
11
00
01
10
00
00
10
10
00
01
10
10
10
10
10
10
11
10
01
11
10
00
10
10
01
10
10
00
00
10
10
00
00
11
10
01
01
00
00
10
01
00
11
11
01
00
11
00
10
11
01
10
10
11
00
00
00
00
10
11
10
01
10
00
01
01
10
00
01
10
10
00
10
10
10
00
00
00
10
11
00
01
10
11
10
00
11
10
00
11
00
00
01
10
10
01
11
01
01
10
10
10
10
00
00
11
11
00
01
00
00
10
00
00
00
01
00
10
11
01
10
00
01
10
11
00
01
11
00
00
11
10
00
00
11
00
01
00
11
01
00
10
10
00
01
10
10
11
00
11
00
00
00
10
00
00
11
00
11
10
00
10
00
10
10
10
00
01
11
01
01
01
00
00
00
00
00
00
10
10
00
00
10
11
10
11
00
10
01
00
11
01
11
11
11
10
10
00
00
11
10
00
00
10
10
10
01
01
10
11
10
00
11
01
10
11
00
00
01
10
10
00
01
10
10
00
00
00
11
00
00
10
11
10
00
01
10
11
10
10
11
10
01
01
10
10
11
01
11
01
00
10
01
00
00
10
10
10
01
00
00
10
00
10
01
10
00
00
00
00
10
10
00
01
00
11
00
00
11
10
00
00
00
11
10
11
10
00
10
11
00
10
10
11
00
10
10
00
10
10
01
10
00
00
11
11
10
11
10
00
11
11
10
00
10
10
10
00
10
00
00
11
10
01
00
11
11
00
10
01
00
10
00
11
10
10
10
01
01
00
01
00
01
10
10
00
10
00
10
00
01
11
10
10
01
00
10
10
00
10
11
10
00
10
11
00
00
01
10
00
00
00
01
01
01
10
11
11
11
01
11
10
00
11
10
10
00
11
11
00
01
00
00
11
11
10
00
00
10
11
00
00
10
00
10
10
00
00
11
10
11
00
00
00
00
10
00
10
10
01
10
00
01
10
00
00
00
10
00
10
10
11
01
00
10
10
10
11
00
01
00
10
11
10
10
10
00
00
10
10
10
11
01
01
01
01
10
00
10
01
00
10
10
00
00
10
10
00
10
10
10
11
10
11
00
10
00
00
00
00
00
11
00
10
11
10
01
10
00
00
00
00
10
00
00
00
11
00
00
00
10
10
10
11
00
01
10
01
00
11
01
00
10
00
01
10
00
00
10
11
01
01
00
11
11
11
01
00
10
10
10
00
00
00
11
01
00
10
10
10
00
01
00
01
11
00
00
01
00
10
11
01
01
11
00
11
10
01
01
00
11
10
01
10
10
00
00
10
00
00
10
01
01
10
11
11
00
10
10
11
01
01
10
01
01
01
00
11
10
01
10
10
00
00
10
10
10
01
00
10
11
00
10
00
01
10
10
11
00
11
10
00
01
10
10
01
00
11
10
10
01
00
00
10
01
00
01
01
10
00
00
11
11
11
01
00
01
00
00
10
00
10
11
00
00
10
10
10
01
00
00
11
10
11
00
00
00
00
11
00
00
10
00
00
10
10
01
10
10
01
11
11
01
10
11
01
10
11
00
00
10
01
01
10
10
00
10
10
10
10
10
00
00
10
10
10
11
11
11
11
11
10
00
00
10
11
11
00
01
00
00
11
10
11
01
01
10
01
10
00
10
10
10
10
01
00
00
00
01
01
10
10
11
10
10
10
01
01
10
10
10
10
10
10
00
00
01
10
10
11
11
11
00
10
00
01
10
01
10
10
00
00
11
00
00
10
01
00
10
10
01
00
01
11
00
00
10
01
01
10
10
00
11
00
11
10
00
11
01
11
01
01
11
01
01
01
00
10
01
01
11
11
00
00
00
10
11
00
10
10
10
00
00
10
00
01
10
10
00
00
00
00
10
10
10
11
10
01
10
01
10
10
00
10
00
01
11
10
00
01
01
11
00
00
10
01
10
10
01
01
10
01
10
00
00
00
00
10
10
01
01
10
11
00
10
00
00
11
10
01
00
11
10
00
10
11
00
01
00
11
11
01
00
10
10
00
10
10
00
01
00
00
11
00
00
00
10
10
01
00
01
00
11
00
00
10
10
00
11
00
00
00
10
11
11
11
00
00
10
00
11
10
00
00
10
10
10
11
00
01
00
11
10
11
01
10
00
01
10
00
00
11
00
00
10
10
00
00
10
00
10
01
00
10
10
01
10
01
10
10
10
10
10
10
11
00
00
11
11
10
11
10
01
01
11
11
00
10
00
00
00
11
10
10
01
01
00
10
11
01
01
10
01
00
11
10
01
00
01
11
01
00
10
00
00
01
11
10
00
10
10
10
01
10
10
00
00
10
01
10
10
10
00
00
01
10
10
10
11
00
10
10
10
00
00
10
10
10
00
00
00
10
00
00
10
10
10
10
10
00
00
11
01
11
00
01
00
10
00
00
11
10
00
00
00
10
11
01
11
01
00
10
11
10
00
00
00
10
10
11
10
00
00
11
01
00
11
10
00
11
10
10
10
00
00
10
11
01
10
01
10
10
11
00
00
10
01
00
11
11
00
11
10
00
11
00
01
11
00
00
01
10
11
10
00
01
01
10
11
10
00
01
10
00
10
10
01
01
11
11
10
10
10
01
00
10
00
00
11
10
01
10
10
10
11
10
10
00
01
10
11
00
00
10
00
00
00
00
11
10
01
01
10
11
00
01
10
10
10
00
01
11
11
10
11
00
01
10
01
01
11
01
11
00
01
10
10
10
00
00
10
11
00
10
10
10
01
00
01
10
01
00
10
00
00
10
10
01
10
00
00
11
10
00
10
10
10
10
11
01
01
10
01
11
00
00
11
00
01
11
11
00
01
11
10
00
00
10
11
01
00
00
00
01
10
00
10
10
10
10
00
10
00
11
10
11
00
00
10
01
00
10
10
01
10
11
00
00
10
00
00
11
00
01
01
10
10
10
00
10
00
01
10
10
10
10
00
10
01
00
11
11
11
11
10
00
00
11
10
01
01
10
10
01
00
10
00
00
00
00
01
00
11
01
00
10
00
11
10
00
00
11
00
00
00
11
10
10
00
10
00
11
00
00
00
10
00
10
01
10
11
11
00
00
11
00
10
00
01
10
00
11
10
11
10
10
00
11
10
00
10
10
10
00
00
11
11
11
11
10
01
10
10
00
10
10
01
00
00
00
11
00
00
10
00
00
00
11
11
00
10
10
10
00
10
10
00
00
00
11
11
00
00
10
10
00
11
00
11
00
01
11
10
11
00
01
00
01
11
11
10
01
00
00
11
10
00
00
11
10
11
10
00
10
00
00
10
11
00
10
10
11
00
11
10
10
10
00
00
00
11
10
10
01
00
11
01
11
11
01
00
01
00
01
00
10
11
00
01
11
00
10
00
00
10
11
00
10
10
10
01
10
11
00
00
10
11
00
00
01
01
10
11
10
10
00
00
01
10
10
00
00
10
10
10
11
10
01
01
00
10
01
01
01
01
10
10
00
10
00
10
10
00
10
00
00
00
01
10
10
00
00
00
00
10
10
00
10
00
10
01
10
10
10
10
10
01
00
11
01
01
01
00
11
10
01
00
00
01
00
11
11
10
00
10
11
10
00
00
00
01
00
10
10
10
10
00
10
10
00
01
11
01
10
10
00
10
10
01
00
11
11
01
00
00
00
11
10
00
01
10
00
01
00
10
10
00
10
10
00
11
11
10
00
00
11
00
10
00
01
11
00
00
11
11
10
01
10
11
01
01
10
00
10
10
01
00
00
11
10
01
11
10
00
00
11
00
00
10
00
00
00
10
10
00
10
11
11
01
00
11
00
10
11
00
10
10
10
00
00
01
00
00
10
10
10
10
10
11
00
00
10
10
01
00
11
00
00
10
11
01
00
00
11
01
01
01
11
10
01
00
00
00
01
10
10
00
11
00
10
10
00
10
00
00
10
00
10
00
00
00
00
10
10
01
00
11
01
00
00
00
10
10
00
01
11
10
00
10
10
10
00
01
00
00
10
10
10
10
10
11
00
00
10
00
00
10
10
00
10
10
00
00
11
11
00
11
10
00
10
01
10
01
00
00
11
10
00
01
10
10
10
00
01
11
01
11
01
11
10
10
11
10
11
00
11
00
00
10
00
00
00
00
10
11
10
01
10
11
00
11
00
11
01
00
00
11
10
01
01
10
11
01
10
01
10
00
10
10
10
01
00
11
00
00
10
11
00
10
00
01
10
10
10
00
00
11
00
00
00
00
10
10
00
11
11
11
10
10
00
01
01
01
00
11
01
11
10
00
00
00
11
10
10
10
01
10
01
11
10
11
00
01
00
10
11
00
00
11
10
11
10
00
01
10
10
01
00
10
10
10
00
10
10
00
11
10
00
11
00
00
11
11
11
10
01
01
01
10
01
10
11
10
00
00
11
01
01
10
10
10
00
00
11
10
00
00
01
10
11
00
11
11
00
10
10
10
00
00
10
10
00
01
00
11
10
10
10
10
11
10
11
01
11
10
01
00
00
10
11
00
00
01
10
10
11
00
01
10
01
11
01
00
10
00
00
01
11
10
00
00
00
10
00
00
01
00
10
10
00
11
00
10
10
11
00
00
10
00
10
10
01
10
10
10
10
11
10
10
01
10
11
00
00
01
00
00
10
10
00
11
10
01
10
01
01
11
11
01
10
10
10
00
01
11
10
00
11
00
01
11
10
01
00
00
10
01
10
11
10
00
10
10
01
00
01
01
00
00
01
10
00
11
10
10
01
10
10
01
00
01
01
11
00
11
10
00
00
10
00
00
00
11
11
00
10
00
10
00
11
00
10
10
00
00
00
10
11
01
11
11
00
00
10
11
10
00
00
11
00
00
00
10
10
10
00
00
10
00
00
00
10
10
11
11
00
10
01
10
00
11
11
11
01
00
11
11
10
01
00
10
00
00
10
11
01
01
00
11
10
11
11
01
01
11
11
00
01
10
10
01
10
10
00
10
00
10
10
01
00
01
11
00
10
00
00
10
10
00
01
10
11
01
01
10
00
11
00
10
10
00
01
00
00
10
10
01
10
10
10
00
00
00
00
10
10
10
10
10
00
00
11
11
10
11
00
00
11
00
01
10
11
11
01
00
11
00
00
01
10
00
10
10
00
01
10
10
10
00
10
00
00
11
00
00
10
01
10
01
00
10
00
11
10
00
00
11
10
10
00
11
11
00
00
00
10
01
00
10
11
00
00
01
11
11
00
10
00
00
10
10
00
00
10
10
11
10
10
00
10
10
11
11
00
11
10
10
00
10
11
00
11
10
00
10
00
10
00
10
10
10
01
00
00
10
00
01
01
10
11
10
10
11
10
01
10
11
01
01
10
00
00
11
10
00
10
00
00
00
01
11
10
00
10
01
00
10
01
10
01
11
01
00
10
00
10
10
10
10
00
01
10
11
01
10
10
01
00
10
10
01
10
00
00
01
10
01
10
10
10
01
00
11
11
00
10
10
01
00
10
01
11
10
00
00
10
11
11
00
01
01
00
01
10
11
10
00
00
10
11
00
10
11
00
01
00
10
01
00
00
10
00
00
10
10
01
10
00
11
10
10
00
00
10
00
00
00
10
10
11
00
00
00
00
00
00
01
10
11
00
11
01
00
10
00
00
10
01
00
11
00
00
01
10
00
01
01
10
00
00
10
11
00
10
11
00
00
00
00
11
01
00
10
10
00
00
00
10
10
00
01
10
11
10
10
01
10
10
10
00
00
10
11
00
00
00
10
00
10
00
10
01
00
00
00
10
01
00
00
10
00
10
10
10
10
01
01
11
01
00
00
10
00
10
10
00
11
00
11
00
10
00
00
10
01
00
10
11
00
10
01
01
00
01
01
00
00
00
10
00
10
11
01
00
00
01
01
00
00
10
11
10
01
11
10
00
01
01
01
10
00
00
11
00
01
10
10
00
00
10
10
11
00
11
11
11
00
01
01
00
11
11
00
00
00
11
11
10
01
11
10
10
00
01
10
10
00
01
11
10
11
10
01
11
10
10
00
01
00
10
11
00
10
10
00
00
10
11
00
10
10
00
00
01
00
10
00
10
10
11
00
11
11
00
10
00
10
11
00
10
00
11
10
00
00
10
00
00
10
11
00
01
11
00
11
00
01
11
00
00
11
10
01
10
10
00
00
01
00
00
10
00
00
10
10
10
10
10
01
00
10
10
00
10
00
11
11
01
00
00
10
00
10
01
00
11
00
10
10
01
10
10
10
00
00
11
00
01
00
10
00
01
01
10
11
01
00
10
01
01
11
11
00
11
11
11
10
01
01
00
10
01
10
11
00
10
00
10
00
00
11
01
01
01
11
00
00
11
10
00
00
10
10
10
00
01
00
10
10
00
10
01
11
01
01
01
11
10
11
10
00
01
10
11
00
00
10
00
10
10
00
10
00
11
10
11
01
01
00
00
00
01
00
00
10
11
00
00
10
00
00
10
00
10
11
01
10
00
00
00
00
10
11
00
00
00
11
11
01
01
10
10
00
10
00
10
11
00
00
11
00
01
00
10
10
00
00
11
00
00
10
00
00
10
00
10
00
01
11
10
01
10
10
10
10
00
00
00
01
10
10
10
11
00
11
10
11
01
00
00
00
00
10
01
01
10
11
01
10
00
10
00
00
00
10
10
00
00
10
00
00
11
01
11
10
10
00
10
00
00
10
11
10
00
10
10
01
00
00
01
10
01
00
01
00
00
00
10
10
11
10
00
00
11
11
00
01
01
00
10
01
01
10
11
00
01
00
01
10
00
10
11
00
00
01
10
00
10
10
11
10
11
11
10
00
00
11
10
11
10
00
00
11
01
00
10
11
10
00
01
10
01
00
10
10
10
00
00
10
10
00
11
10
00
00
01
10
01
10
01
11
10
01
10
11
00
00
00
10
00
10
11
01
00
11
11
10
10
00
11
10
00
00
10
01
10
10
11
01
10
01
11
10
11
00
00
10
10
00
01
00
11
00
00
00
00
10
00
01
10
11
01
00
10
01
00
00
10
10
00
01
01
00
11
11
11
10
10
11
01
10
10
10
00
01
10
10
00
00
11
01
10
00
01
11
00
01
00
00
11
00
00
11
01
10
00
01
10
11
00
10
10
00
01
10
11
01
10
00
11
10
00
11
11
10
11
10
01
00
00
00
10
01
01
00
11
00
01
01
11
10
00
00
10
11
10
00
01
11
10
01
10
10
00
00
00
01
00
10
11
01
10
11
01
00
01
11
10
10
00
10
11
11
01
01
11
00
10
00
00
10
11
00
01
00
10
10
00
00
10
11
00
00
01
11
10
10
00
01
10
10
00
00
10
11
00
00
10
10
11
00
11
01
00
11
00
11
10
00
01
00
10
00
10
11
10
00
00
10
10
10
00
10
11
00
10
00
00
11
00
01
00
10
10
11
00
00
10
11
00
01
11
10
10
00
10
10
00
00
00
01
11
01
10
11
10
00
00
11
01
10
10
01
10
10
10
00
00
11
10
01
10
10
10
00
10
11
10
00
00
11
00
01
00
11
11
10
11
10
00
00
00
11
00
00
00
10
10
01
01
01
10
10
10
00
10
10
00
01
00
10
10
10
10
00
01
11
11
01
00
00
00
10
10
00
01
10
00
00
10
11
01
10
10
00
11
10
10
00
00
10
00
01
10
10
10
00
00
01
00
00
10
10
10
10
10
00
10
11
00
11
10
01
10
10
10
01
10
11
01
00
11
00
00
01
00
10
01
00
10
00
11
11
10
11
00
00
10
01
01
10
00
10
11
01
10
00
11
00
00
00
10
10
00
10
00
10
10
00
00
00
10
11
10
00
01
00
00
10
00
10
10
10
10
11
11
00
11
00
10
01
00
11
01
11
11
00
00
01
10
11
01
10
11
00
00
11
00
01
00
11
11
11
11
10
00
00
10
00
10
10
11
00
00
00
01
10
00
10
10
00
00
01
00
11
00
10
10
00
10
00
01
10
11
00
11
10
01
10
00
11
10
11
00
00
00
00
10
10
10
11
00
11
11
00
00
01
10
10
00
00
10
10
00
00
00
00
10
01
00
01
10
00
00
01
10
10
10
00
10
10
10
00
10
01
00
10
10
11
00
11
10
00
00
10
01
10
10
00
11
00
00
10
11
00
00
10
11
00
10
10
01
01
01
00
00
11
00
10
10
11
00
01
11
01
11
10
11
10
11
11
10
00
00
11
10
11
00
11
10
01
10
10
00
00
10
00
10
11
00
10
01
00
11
00
11
10
01
11
01
10
10
10
10
01
00
11
11
00
00
11
00
10
10
00
11
10
10
00
00
10
00
10
00
00
00
11
11
11
01
00
00
10
00
10
10
01
01
10
10
11
00
10
01
10
11
00
00
00
11
10
00
01
11
00
10
10
00
00
00
10
11
00
11
00
00
01
10
01
00
00
10
10
00
00
10
10
01
11
10
00
11
11
10
01
11
10
01
00
01
10
11
01
00
00
00
11
10
00
11
11
00
01
11
00
00
10
11
10
11
00
01
00
10
00
01
10
00
00
00
10
10
00
11
01
10
01
01
10
01
01
00
00
10
10
10
01
10
11
01
01
00
11
10
11
10
00
00
11
10
10
11
10
00
10
11
01
00
10
01
10
11
10
00
10
10
10
01
10
10
00
00
11
11
01
10
01
01
01
11
00
00
00
10
11
11
00
01
01
00
10
10
10
10
11
01
00
11
10
10
10
00
00
10
11
00
00
00
10
00
10
00
11
11
10
10
00
10
00
00
11
00
11
10
11
11
01
10
10
00
00
00
11
00
00
10
10
10
01
01
11
00
00
00
10
00
10
10
00
00
10
10
00
00
01
01
10
01
00
00
00
01
00
11
11
10
10
00
00
10
00
00
10
00
00
10
10
11
10
10
10
10
00
01
10
01
10
01
10
00
00
10
10
00
01
11
11
00
10
01
00
00
10
01
10
10
00
00
01
10
10
10
11
01
11
00
00
10
01
10
00
10
11
01
10
10
00
10
10
10
00
00
11
00
01
11
01
00
00
10
10
00
10
00
00
00
10
11
00
10
00
00
11
01
01
01
01
10
10
01
10
00
00
10
00
00
10
01
00
10
00
01
11
10
11
10
10
11
00
00
00
00
10
10
01
11
10
11
00
01
10
10
00
10
11
00
10
00
00
01
01
00
10
10
10
10
01
00
11
11
11
10
11
10
01
01
11
00
11
00
00
10
00
10
10
00
00
11
10
00
00
10
10
10
10
00
10
00
10
10
11
01
00
00
10
11
11
11
00
00
01
10
00
10
10
00
01
10
01
00
00
01
01
11
11
10
00
11
10
00
10
10
00
00
10
10
00
00
10
01
01
10
11
00
00
11
00
11
11
01
00
00
01
10
10
11
10
01
01
10
10
10
01
10
10
00
00
11
00
00
11
10
01
01
01
10
01
00
11
00
00
11
11
00
01
00
10
10
00
00
01
10
10
10
11
00
10
11
00
00
10
10
10
10
00
00
11
00
01
00
00
01
00
01
10
00
01
00
11
10
01
00
00
00
11
11
10
00
00
10
11
00
00
00
10
10
00
01
10
00
00
11
00
01
01
11
10
10
10
01
10
11
01
10
11
11
00
01
00
11
10
00
01
01
10
10
10
10
00
00
00
11
11
01
10
11
10
01
01
10
00
00
00
11
01
11
10
10
11
00
00
10
00
00
00
00
10
00
01
00
00
11
11
00
01
10
10
10
01
00
01
00
10
10
11
00
00
00
00
11
00
10
10
11
10
10
00
01
10
00
10
01
10
11
01
11
10
10
10
11
00
00
10
11
10
00
00
00
11
00
00
01
11
10
11
10
00
10
11
10
11
00
11
10
00
01
01
10
01
10
10
01
11
11
10
01
00
00
10
11
01
00
00
10
10
00
10
00
10
00
00
10
10
10
11
00
00
00
00
10
00
00
01
10
00
01
10
01
10
11
10
00
10
00
01
11
11
00
01
10
10
11
01
00
00
10
10
00
00
10
00
01
10
11
11
10
01
00
11
10
00
00
10
10
00
10
11
10
01
11
10
10
01
10
00
00
10
11
00
00
10
01
11
00
00
00
01
10
01
11
01
11
00
00
11
10
10
00
00
00
10
00
11
10
01
10
10
00
10
00
10
01
10
11
00
10
11
10
00
01
00
00
00
00
01
10
11
10
00
00
00
10
11
10
01
10
01
01
00
00
10
11
10
00
01
11
10
00
01
11
10
01
00
00
00
00
10
10
10
00
00
00
11
10
10
00
00
11
10
01
10
00
01
10
00
00
10
10
10
10
10
00
01
01
00
01
00
11
10
01
00
11
00
01
00
10
10
00
01
10
10
10
00
10
00
00
11
00
01
10
01
10
10
10
00
00
11
10
11
00
00
10
00
11
00
11
11
10
01
00
11
00
10
10
00
10
10
11
00
10
11
00
10
10
10
10
00
00
10
11
10
00
01
10
00
11
10
01
10
00
00
00
00
10
10
10
10
01
00
11
01
10
11
10
10
00
10
10
00
01
00
11
01
01
10
11
00
11
10
00
10
11
11
01
00
10
10
00
10
01
00
10
00
11
10
01
11
10
11
10
00
01
01
00
11
11
00
00
11
10
10
01
00
00
10
00
00
10
10
10
10
10
00
00
10
10
10
00
00
11
01
00
01
00
10
10
11
01
10
11
10
00
01
11
10
01
00
10
01
00
11
10
10
00
00
10
00
00
10
00
10
10
10
10
00
10
10
01
00
10
10
00
10
00
01
00
00
10
11
10
11
10
00
10
00
10
10
00
01
11
00
01
10
11
00
11
00
11
10
00
01
10
00
11
11
00
10
00
11
11
00
11
00
00
10
00
10
11
00
00
11
10
10
01
00
11
10
00
10
00
00
01
01
10
10
10
00
00
00
10
00
00
10
11
00
00
00
00
10
00
10
10
00
00
10
10
00
10
01
11
00
00
11
10
00
11
00
11
00
00
10
01
01
01
10
10
00
00
01
10
11
00
00
10
00
10
00
11
10
01
10
10
00
11
10
11
01
01
10
10
01
00
10
00
01
10
00
00
10
00
00
10
10
11
00
01
00
01
00
01
11
10
01
00
11
00
00
10
00
00
11
11
10
01
01
10
00
10
11
01
00
10
10
10
00
10
01
10
10
00
10
10
01
01
10
11
01
01
00
10
10
00
00
10
00
00
00
01
00
10
11
00
00
01
10
00
10
10
00
10
00
11
01
01
10
00
01
00
10
10
10
10
10
10
00
11
10
01
11
00
10
10
00
00
11
10
10
01
10
00
10
00
00
10
11
10
00
00
00
00
10
00
00
10
11
00
01
00
00
00
01
10
01
10
11
11
01
00
00
00
10
00
00
00
10
00
01
00
01
10
00
01
01
00
01
10
00
01
10
11
11
00
01
00
11
11
00
11
10
00
10
00
01
10
11
00
10
10
10
11
00
10
10
00
01
10
10
10
00
00
10
10
01
01
11
00
10
00
10
00
10
00
00
00
10
10
01
00
11
10
00
10
00
10
11
11
00
00
10
10
10
01
00
00
11
11
11
01
01
10
00
10
10
00
11
11
00
01
01
00
01
00
10
01
11
10
11
01
00
01
00
00
11
01
10
10
10
01
10
00
00
10
11
11
11
10
01
01
00
01
10
00
00
10
10
10
01
00
00
10
00
11
10
01
00
00
10
10
10
00
11
10
10
10
00
10
00
10
00
10
10
00
01
10
11
11
01
01
10
10
10
10
11
01
00
10
00
11
00
10
10
10
10
00
00
11
00
01
01
00
00
00
00
11
10
00
10
10
00
11
00
11
10
00
00
11
00
00
10
10
11
10
00
00
10
11
11
00
10
10
00
11
10
10
01
00
01
10
00
10
10
01
10
00
00
01
10
00
01
00
11
10
00
10
00
11
11
00
01
10
01
00
00
00
01
01
10
11
00
00
01
11
00
11
00
00
00
00
10
11
00
01
00
00
10
10
00
00
11
10
01
01
10
11
10
00
00
00
01
11
10
00
10
01
10
01
00
00
00
00
10
10
11
10
00
10
10
01
01
11
11
10
10
00
01
00
10
10
00
11
10
00
00
10
10
10
00
00
11
10
10
00
00
00
01
10
01
01
11
10
01
10
01
01
10
11
00
00
01
01
10
10
10
01
00
10
10
10
01
10
10
00
10
01
11
10
00
01
01
11
11
01
10
00
10
11
00
00
10
10
11
10
01
00
11
01
00
01
10
10
10
11
00
11
01
00
01
10
01
10
01
00
10
00
01
11
10
01
01
01
11
10
00
00
00
10
10
11
00
10
10
10
00
10
10
00
00
10
10
10
10
00
01
10
00
00
10
00
01
00
11
00
00
00
00
10
01
01
10
11
10
01
00
11
10
01
00
00
11
10
11
11
11
00
01
10
01
00
10
10
00
00
10
00
00
11
10
01
11
00
00
00
01
10
01
00
10
00
00
11
10
11
01
11
11
01
11
10
00
11
00
11
10
00
01
00
11
00
10
10
00
01
11
00
10
10
00
01
00
10
10
10
01
00
10
10
01
11
00
11
11
10
11
00
00
10
11
00
10
00
00
00
10
00
11
10
00
10
11
10
01
11
00
10
00
11
00
01
10
10
11
01
00
00
11
10
00
00
00
00
10
00
10
11
10
01
00
00
10
01
11
01
11
11
10
00
00
10
00
00
10
11
11
00
11
10
00
11
00
00
10
10
10
10
01
10
11
10
00
10
10
01
00
01
10
10
11
01
10
10
01
01
10
01
00
01
10
11
01
00
10
10
10
00
00
10
11
00
00
10
10
10
00
00
00
11
10
11
10
00
00
10
10
10
00
00
10
11
10
11
11
10
10
10
11
10
01
00
10
00
10
00
10
00
01
11
10
01
10
00
00
10
00
10
00
00
11
10
11
01
10
11
10
10
00
00
10
11
01
01
10
10
11
00
10
11
00
00
00
10
11
10
10
00
10
11
10
00
00
10
10
10
10
01
00
11
11
10
00
11
01
11
00
01
01
10
00
11
10
01
10
10
11
00
00
11
10
10
10
00
00
10
11
11
11
10
10
00
00
10
00
00
10
11
00
10
10
01
10
00
00
10
00
11
00
00
00
01
10
01
00
10
00
10
11
01
00
10
00
00
00
10
10
01
00
11
01
10
10
11
10
10
00
01
01
11
11
10
10
10
01
00
10
10
01
00
00
00
00
11
11
01
11
10
00
00
00
11
10
01
01
00
10
01
10
00
00
10
00
10
10
11
00
10
00
11
00
10
10
00
11
11
00
00
00
11
10
11
00
10
01
11
10
10
00
00
00
10
10
10
10
00
00
01
01
11
10
01
01
11
00
10
01
10
00
00
00
00
00
00
10
11
10
01
00
10
10
11
01
00
11
00
00
10
00
01
10
00
10
00
00
11
11
11
11
10
11
00
00
01
01
00
10
01
10
01
01
10
10
00
00
10
00
00
01
00
11
00
10
11
00
00
11
10
01
10
01
11
00
00
00
10
10
10
01
10
10
01
10
00
10
01
00
00
10
01
11
00
00
10
01
10
00
00
10
00
10
10
00
00
10
00
10
00
00
10
00
00
10
11
01
01
01
00
01
00
00
10
01
00
00
10
10
10
00
00
00
00
00
01
01
10
11
00
11
11
00
01
10
11
00
00
10
10
01
10
11
01
10
01
01
00
00
01
11
00
01
11
11
00
10
11
01
01
10
10
10
10
01
00
00
10
01
10
01
00
11
01
00
11
11
01
01
10
00
00
10
10
10
00
01
10
10
00
00
10
11
01
01
10
10
10
01
00
11
01
00
10
00
11
01
11
11
10
11
10
00
00
10
11
01
00
11
00
01
01
10
00
00
10
10
11
11
10
01
01
00
00
10
11
01
01
10
01
01
10
11
01
00
10
00
10
11
10
00
01
00
00
11
10
10
10
01
00
00
10
11
01
00
00
01
00
00
11
00
00
10
01
00
10
10
01
10
11
00
10
01
00
10
10
00
00
10
01
10
01
01
11
11
00
00
10
10
11
01
00
00
11
10
00
00
11
00
01
00
11
10
00
00
11
10
01
01
10
10
00
10
00
01
10
10
00
11
11
01
11
00
10
01
10
00
00
11
00
01
10
01
10
11
00
01
10
11
00
10
11
00
00
00
00
11
00
11
10
00
01
11
01
01
00
00
10
10
10
00
00
10
00
01
00
10
10
10
00
10
00
11
11
00
00
10
10
10
10
00
00
01
10
10
01
00
00
00
10
10
10
00
00
10
10
01
00
01
01
10
10
01
00
01
00
10
01
01
10
11
11
01
11
11
10
11
00
00
10
10
00
00
10
01
00
01
10
10
10
10
00
00
10
01
10
01
01
10
00
10
01
11
00
00
00
10
00
00
11
01
10
01
00
11
11
11
00
00
10
00
00
11
11
00
01
00
10
11
00
01
00
00
11
11
10
11
10
00
10
01
10
11
00
00
11
10
00
00
00
00
10
11
10
01
01
10
11
10
01
00
11
10
01
00
00
10
11
01
11
10
00
01
01
10
10
10
00
00
01
10
00
00
00
00
11
01
01
10
10
00
01
11
10
01
00
11
11
11
11
01
01
00
00
10
01
00
11
11
00
10
00
11
00
00
11
10
00
01
10
01
10
11
00
00
00
00
10
11
00
00
10
10
01
11
10
00
00
00
01
10
10
00
10
01
10
10
11
00
01
11
00
11
10
00
00
10
11
01
01
01
00
10
10
10
00
10
10
00
01
11
11
10
10
11
10
00
01
10
10
11
00
10
01
01
10
00
11
00
10
00
10
00
10
01
00
00
01
10
10
11
01
10
01
00
00
00
01
10
01
00
10
11
10
11
01
01
00
10
00
11
01
00
11
10
00
10
01
01
10
11
00
00
10
01
00
10
10
00
00
01
01
01
11
00
00
00
01
00
10
10
01
01
10
01
00
10
00
10
11
10
00
00
10
00
01
11
10
01
00
10
00
00
01
11
00
10
00
01
00
01
10
00
10
00
01
11
00
01
10
10
10
01
01
11
11
00
10
01
11
10
10
00
00
00
10
11
10
00
00
01
10
10
10
10
00
00
00
01
10
10
10
10
01
00
01
10
10
00
00
10
10
10
00
10
10
01
00
00
10
00
11
10
00
10
10
00
10
10
10
00
00
10
01
00
01
00
10
00
11
10
10
10
00
00
10
00
01
00
11
10
11
11
00
10
00
00
01
11
11
00
00
00
11
11
00
10
10
01
10
01
00
00
00
00
10
11
10
01
01
01
10
11
11
00
00
00
10
00
00
10
10
00
00
11
00
01
01
11
01
11
11
00
00
10
10
01
00
11
11
11
00
10
10
01
00
00
11
00
00
00
10
10
11
10
00
00
11
00
00
10
00
11
00
00
10
10
01
10
10
00
01
01
10
10
00
00
10
10
00
00
10
11
10
00
10
11
11
11
11
10
01
00
00
10
10
11
00
00
10
00
10
01
00
11
00
11
10
00
10
00
01
11
00
11
10
00
00
00
10
00
01
11
11
01
00
10
01
00
01
10
10
01
00
00
11
00
01
00
00
10
10
00
10
11
00
10
01
10
11
00
10
00
00
00
11
10
01
10
00
00
01
10
10
11
10
00
10
00
00
10
10
10
10
10
11
00
10
11
11
11
10
10
10
00
00
01
00
10
10
10
11
11
11
10
00
00
00
11
00
01
10
11
10
10
00
11
00
01
00
11
11
10
00
01
00
11
00
01
01
10
00
10
01
01
00
10
00
00
10
11
11
10
01
00
11
11
10
00
10
01
00
00
10
01
10
10
00
11
01
11
00
11
00
10
00
00
11
10
00
01
11
10
01
01
10
11
00
10
10
01
00
10
01
00
01
00
10
10
11
00
00
00
10
00
00
10
10
10
10
10
10
11
00
11
10
01
00
11
00
01
00
00
10
10
11
01
10
00
01
00
10
10
00
01
11
10
01
10
01
00
10
10
00
00
10
00
00
00
00
11
00
11
01
10
00
11
00
11
10
01
10
11
10
01
00
10
10
10
00
11
01
01
00
00
11
01
11
10
01
00
01
10
11
11
10
10
00
00
00
00
10
10
11
01
00
00
10
11
10
10
01
11
01
11
01
01
10
10
11
00
00
11
11
00
10
01
00
00
10
11
00
01
10
00
10
11
00
11
00
01
10
11
01
10
10
01
01
11
11
00
01
00
10
10
01
10
10
10
00
00
10
00
10
11
10
10
01
00
01
10
10
00
00
10
01
10
11
10
11
01
01
00
11
11
00
10
01
00
10
10
10
10
01
10
01
00
11
00
10
00
00
00
10
10
00
00
01
11
01
00
10
11
00
00
10
01
11
10
00
10
00
00
00
10
10
01
01
10
00
00
00
00
10
10
01
01
00
00
10
00
00
00
01
10
01
00
10
10
11
00
10
00
00
10
01
10
00
11
00
01
11
10
10
11
10
00
00
10
00
00
10
10
00
00
00
11
01
10
11
01
00
11
10
10
00
10
01
10
11
00
11
10
10
11
01
00
10
10
00
10
10
00
11
10
00
00
10
00
01
01
00
00
00
11
00
00
00
00
00
00
11
10
11
10
00
11
10
01
00
10
01
11
11
00
10
10
10
00
11
01
10
01
10
10
00
11
00
01
10
10
01
00
00
11
11
00
00
10
11
00
01
10
00
10
00
00
10
01
00
10
00
10
00
00
10
10
10
11
10
01
10
10
10
00
11
00
10
10
10
01
01
10
11
10
10
10
10
00
00
11
10
10
00
11
01
00
10
01
10
11
10
10
10
00
00
10
10
00
00
11
00
01
01
00
10
01
00
10
10
00
01
10
10
10
00
00
00
11
10
00
10
00
00
00
00
11
10
01
10
10
11
10
00
00
10
01
00
11
00
10
01
01
10
11
10
00
10
10
10
11
10
00
10
10
00
01
10
00
10
10
00
10
10
10
00
01
01
11
00
10
00
00
10
10
00
00
10
01
11
10
10
11
11
00
00
10
10
00
11
10
01
10
10
10
01
01
00
00
10
01
00
00
00
11
10
00
10
00
00
00
01
10
11
01
11
10
01
00
11
00
11
01
10
10
00
10
10
00
00
00
10
00
00
00
10
01
00
11
11
01
11
11
00
01
11
10
00
10
00
00
11
10
00
00
11
10
00
00
00
00
00
10
11
00
01
01
00
00
10
11
00
01
11
10
10
00
10
10
11
10
01
01
00
10
10
00
01
01
10
11
01
10
10
00
11
00
10
10
00
01
01
10
11
10
10
00
00
11
11
11
00
10
10
11
00
00
10
00
01
10
11
00
01
10
10
01
10
10
11
01
00
11
10
10
00
00
01
00
00
11
10
11
01
10
10
00
00
00
00
10
10
10
01
11
10
00
01
10
00
00
00
10
00
00
11
00
11
01
01
10
00
10
01
00
11
10
00
00
11
11
00
10
10
10
00
11
01
00
10
10
01
00
00
10
01
01
10
10
10
11
01
00
00
10
00
00
10
10
10
01
00
11
11
11
00
11
00
00
00
11
10
00
10
10
00
00
10
10
00
10
10
00
00
10
10
00
10
10
00
10
10
00
00
00
01
01
11
01
10
10
10
10
01
10
10
01
00
00
10
00
10
01
00
10
00
01
10
11
10
01
10
11
00
00
11
10
00
01
10
10
00
10
10
10
00
01
11
11
00
01
11
10
00
00
00
10
10
01
10
00
10
00
01
11
00
00
11
00
00
11
11
10
11
10
00
01
10
10
00
10
10
00
11
01
00
10
11
01
00
00
10
10
11
00
00
00
11
00
00
10
00
11
01
00
01
11
11
01
01
11
01
01
10
10
01
00
10
10
00
00
10
00
00
10
10
01
00
00
10
11
00
10
10
00
01
00
11
10
00
00
00
10
10
10
00
00
10
10
00
10
01
10
10
00
01
11
10
00
10
00
11
00
00
00
01
11
00
10
11
00
10
01
10
10
00
01
00
00
10
00
01
00
00
11
10
11
10
00
00
10
11
00
10
10
10
00
00
00
00
11
10
00
01
00
01
11
11
10
10
01
10
10
01
00
10
10
00
01
00
00
11
10
00
00
10
10
10
01
00
10
10
10
11
00
00
00
11
11
11
00
00
01
10
11
10
11
01
10
10
10
01
01
11
00
01
11
00
10
01
00
11
10
00
10
11
00
11
11
01
10
10
10
00
00
10
10
00
10
10
00
10
00
10
10
10
01
00
10
00
00
01
11
10
11
11
00
11
00
10
10
10
00
10
10
01
00
10
01
10
00
00
01
10
10
01
00
11
00
10
10
00
00
10
10
00
00
10
10
11
10
11
10
00
00
00
00
10
10
00
10
11
01
00
11
10
10
00
01
11
01
11
11
00
00
10
10
01
01
11
00
00
10
10
00
00
10
10
10
10
10
01
11
10
00
11
00
10
10
01
01
10
11
01
00
10
11
10
00
00
10
00
00
00
01
10
11
10
10
01
00
00
10
11
10
10
01
01
11
10
00
00
00
11
00
01
11
11
11
11
10
00
00
10
11
00
00
10
00
00
10
01
01
00
01
00
10
11
01
00
10
10
11
11
00
11
00
10
10
10
00
01
10
11
00
00
00
01
10
11
10
00
11
10
00
11
00
00
10
10
11
11
10
01
10
10
00
10
11
10
01
01
01
10
10
00
01
11
11
00
01
10
10
11
00
11
10
10
00
00
11
10
10
00
00
00
11
00
00
11
10
00
01
01
10
01
00
01
10
10
00
00
10
10
01
11
10
00
00
10
10
00
10
01
10
10
00
00
00
10
00
00
00
10
00
00
00
01
01
00
11
00
10
01
10
11
01
00
10
00
00
10
01
00
00
11
10
11
00
11
00
00
10
10
00
00
10
00
10
11
00
01
10
11
00
10
10
11
00
10
10
00
11
10
00
10
11
00
01
00
11
10
00
00
01
11
11
10
00
00
00
01
00
10
11
00
01
10
10
10
10
00
01
10
10
11
10
01
01
00
11
11
10
10
01
01
00
00
10
10
00
00
11
10
01
00
00
10
10
00
10
01
00
00
01
10
00
00
10
10
00
10
10
00
10
10
00
00
10
00
00
00
10
10
11
10
01
10
10
10
01
01
10
01
00
10
10
00
01
01
10
10
10
10
10
11
01
11
11
11
00
10
01
11
00
00
11
10
10
00
10
01
00
10
11
10
00
10
01
00
11
10
10
10
00
00
00
10
10
01
00
00
01
00
00
10
01
10
10
00
10
01
10
00
00
10
10
01
10
11
10
10
01
00
00
10
10
11
10
10
01
10
11
10
01
11
00
10
10
11
01
00
11
10
00
11
01
00
00
11
10
11
10
00
01
11
00
11
00
10
10
00
10
00
10
00
10
01
11
00
00
10
00
00
10
11
10
00
01
10
00
11
00
10
00
01
10
01
10
01
01
00
01
11
00
11
01
01
10
01
00
10
11
01
00
10
00
00
01
10
10
10
01
00
10
00
10
10
00
01
11
00
11
00
10
00
01
10
00
00
10
10
10
00
10
10
00
01
01
00
10
00
10
00
00
10
00
00
10
10
00
00
11
11
10
11
01
11
00
10
10
10
10
10
00
00
01
11
10
01
10
10
01
01
00
00
00
10
11
11
11
01
00
10
10
00
00
00
01
11
00
00
01
00
10
01
11
10
00
11
01
11
11
11
01
00
11
00
10
00
10
11
10
10
01
10
01
00
00
01
00
11
01
10
00
01
00
10
11
00
10
10
01
11
00
01
00
01
00
10
10
11
10
00
11
00
10
00
00
11
00
00
10
00
10
11
00
10
10
10
11
00
00
01
10
01
01
01
11
10
00
11
00
00
11
10
11
10
01
10
10
00
00
00
10
01
00
10
10
00
10
10
11
10
00
00
11
10
11
11
00
01
10
01
01
00
00
11
10
00
01
11
10
11
01
00
01
00
10
10
10
01
00
00
10
11
11
00
00
11
00
10
11
00
00
00
11
11
10
10
00
00
10
10
10
00
00
11
00
11
10
00
00
11
10
00
10
10
10
01
10
00
10
10
01
00
10
00
01
11
10
10
10
10
01
00
11
11
11
00
01
10
00
10
10
10
10
00
00
01
11
00
10
10
10
11
11
10
00
10
10
11
10
01
01
01
10
10
01
00
10
00
10
00
01
01
00
10
11
01
00
10
10
11
00
10
10
01
10
10
11
01
01
10
10
10
11
01
01
10
11
01
11
00
10
00
00
10
10
11
01
00
00
00
00
10
01
00
01
11
01
01
10
10
10
10
00
01
10
10
00
10
10
10
11
00
11
00
01
11
00
01
00
00
10
00
00
00
10
10
01
11
10
00
01
00
10
00
11
00
10
01
10
01
00
10
11
01
00
11
00
01
00
11
00
10
00
11
00
00
00
11
00
11
00
00
10
00
11
11
00
00
01
00
10
01
10
10
11
10
00
10
10
00
00
01
10
11
00
10
10
10
10
00
00
11
11
00
01
10
10
11
10
10
10
10
00
11
00
00
10
00
00
10
10
10
00
00
11
10
11
00
01
10
10
01
10
10
00
00
11
00
00
10
01
00
10
01
00
11
10
10
11
00
10
00
00
10
01
10
00
01
10
01
00
01
00
10
10
00
01
11
01
01
11
01
01
01
00
10
10
01
01
10
01
00
10
00
10
00
11
10
00
11
11
10
00
00
10
01
01
10
00
10
11
01
01
10
00
00
10
10
11
00
00
01
00
11
00
10
10
00
00
10
10
00
00
11
11
11
10
01
11
00
01
10
00
01
00
10
10
10
11
00
01
10
00
10
11
00
11
00
00
00
00
11
00
00
10
10
10
00
11
00
11
00
01
11
00
11
11
00
00
00
11
10
00
00
00
10
00
10
10
01
01
01
11
01
10
11
10
01
10
11
00
00
11
10
10
10
00
00
01
10
10
01
00
00
00
11
11
11
00
00
00
00
00
11
10
00
01
10
01
00
01
00
10
10
00
01
10
00
00
01
01
10
10
10
00
11
10
01
11
10
11
10
00
10
00
01
11
00
11
10
00
10
10
11
00
01
01
01
01
00
10
11
00
00
10
01
00
11
11
00
00
10
01
00
10
10
01
00
10
11
10
11
10
11
00
01
10
11
01
00
11
10
00
00
00
00
10
10
00
01
10
11
10
00
10
10
10
00
11
10
00
10
10
00
11
11
00
00
01
00
11
10
10
00
00
10
00
11
10
11
00
10
11
10
00
11
10
00
00
01
10
00
10
10
10
00
00
10
00
00
00
00
01
10
00
10
00
11
10
00
10
01
10
10
10
00
00
01
01
01
00
00
10
01
10
11
10
00
11
10
00
01
10
10
00
11
10
00
10
11
10
00
01
00
10
10
01
00
01
11
00
01
10
11
00
10
11
11
01
01
10
10
00
00
00
10
10
01
11
10
11
11
00
00
01
00
01
00
10
11
01
00
00
10
11
11
00
10
10
10
11
00
00
11
00
00
10
00
01
11
11
00
00
10
00
10
01
10
11
00
00
10
00
10
11
00
01
00
01
11
10
00
01
10
11
01
01
10
01
01
00
10
01
10
10
10
00
00
10
10
00
10
10
10
00
10
10
01
00
11
10
10
11
11
00
11
00
10
00
00
10
01
11
10
10
10
00
10
00
00
00
01
10
01
10
11
00
00
11
10
10
00
01
10
01
10
00
01
10
01
01
01
11
11
00
11
10
00
00
10
10
01
00
01
10
10
01
10
11
00
01
10
01
11
00
10
10
11
00
10
11
00
00
10
10
00
10
10
10
10
00
10
01
11
00
00
10
10
00
00
10
00
10
10
01
10
10
10
00
10
10
10
01
00
01
10
01
00
10
00
11
00
00
10
10
10
11
00
00
10
10
11
10
01
11
00
00
10
10
00
00
00
00
01
00
11
00
00
11
11
10
11
10
01
00
00
10
10
00
01
00
10
10
00
00
11
10
11
00
00
00
10
01
10
10
00
00
00
01
10
11
10
11
10
01
10
01
10
01
00
01
00
10
10
10
10
00
11
01
01
00
11
10
10
00
00
11
10
11
00
00
10
00
00
11
11
01
01
11
10
00
00
00
10
11
01
00
11
10
01
10
10
11
00
10
10
00
01
01
10
10
10
00
11
00
00
00
11
00
00
00
00
10
10
01
00
11
10
00
00
00
00
10
10
10
10
01
00
10
11
10
01
10
10
01
10
10
10
11
00
00
00
10
10
00
10
00
00
10
01
10
11
01
01
00
01
00
10
01
01
10
10
00
00
10
00
10
10
10
01
00
10
00
00
01
10
11
00
10
10
00
11
10
10
00
10
11
00
10
01
00
00
00
00
11
00
11
11
00
00
01
10
01
10
11
00
00
10
01
10
11
00
10
01
11
10
01
10
10
00
00
00
00
00
11
10
10
10
00
00
00
00
11
10
10
00
00
01
11
00
11
00
01
01
10
10
11
01
00
10
10
10
00
00
00
10
10
10
10
00
00
11
00
00
10
10
10
10
10
00
01
11
10
10
00
00
10
10
10
00
00
11
10
10
00
00
00
11
01
11
10
00
00
10
11
00
10
10
00
10
00
00
10
01
01
00
11
11
00
01
10
11
11
00
00
11
10
10
00
10
10
00
01
01
01
00
11
00
00
10
00
01
00
01
11
10
00
01
10
01
00
00
11
10
11
00
00
11
01
11
10
01
01
01
11
11
00
00
00
10
01
00
11
00
00
11
00
10
01
10
10
10
00
00
11
01
00
00
10
01
00
10
10
01
10
00
11
00
00
11
00
00
00
01
10
01
00
00
01
00
00
10
10
00
01
10
00
11
10
01
10
01
10
10
10
10
11
01
10
10
10
00
11
00
00
10
10
00
11
00
01
10
00
01
00
00
10
10
00
11
00
10
10
10
00
10
01
00
10
11
00
10
10
10
00
00
11
10
00
00
10
01
10
00
00
10
10
01
11
01
00
10
11
10
01
10
00
11
01
01
11
10
01
11
00
11
10
00
01
10
00
00
10
11
11
00
10
10
01
00
00
10
10
01
11
10
01
10
10
10
00
10
01
01
01
01
10
10
10
00
10
01
00
11
00
00
11
10
00
11
10
01
10
01
01
10
10
10
01
01
00
10
10
10
00
00
11
00
01
10
01
00
01
00
10
00
00
10
00
10
10
01
00
10
00
10
00
10
11
10
01
10
01
00
00
10
11
00
11
10
00
11
00
00
10
00
10
00
00
10
00
01
01
10
10
00
10
11
10
00
00
10
10
00
11
10
11
10
10
01
10
01
10
00
00
10
10
00
11
10
10
01
10
00
00
10
00
10
00
10
10
11
10
01
10
10
10
11
01
00
11
10
00
10
10
01
01
11
10
10
11
10
00
00
10
11
01
01
11
01
00
10
00
01
01
11
11
01
00
10
00
10
10
10
01
00
10
10
00
01
10
10
11
01
10
00
10
00
10
11
00
01
00
10
11
10
10
11
00
00
10
00
01
00
00
11
10
10
10
01
10
11
00
00
01
00
10
00
10
11
10
00
10
01
11
10
11
00
01
10
00
01
00
10
00
01
10
00
01
10
10
11
01
11
00
10
01
10
10
00
01
11
10
00
01
10
10
10
00
00
10
00
11
00
11
01
11
10
11
10
00
00
10
00
00
10
10
10
00
00
10
10
00
10
00
10
10
01
01
11
00
10
11
00
11
01
00
01
00
10
10
00
10
10
10
00
01
01
00
10
10
00
01
10
11
00
00
10
11
11
01
10
01
10
11
00
00
10
10
00
11
10
00
11
10
10
01
01
00
01
11
00
01
10
11
00
00
11
11
11
00
00
10
01
01
00
10
10
00
01
00
00
10
10
11
10
01
10
10
11
11
11
11
00
01
11
11
00
00
10
11
11
00
01
10
10
10
11
01
01
10
10
10
01
00
10
00
00
10
00
00
10
00
10
00
10
10
00
10
10
00
11
01
01
00
00
00
00
01
01
10
11
01
11
01
01
11
10
00
10
10
01
01
11
00
00
00
10
01
01
10
01
01
10
00
11
10
10
00
00
11
00
01
10
01
10
10
00
01
11
11
10
01
00
01
11
10
00
10
10
00
00
10
11
10
00
11
00
11
11
10
01
00
11
00
01
11
11
10
00
00
11
11
01
11
10
00
10
00
00
10
01
10
00
01
00
00
10
00
00
10
00
00
01
11
10
10
10
01
00
10
01
10
10
10
10
01
10
10
11
00
00
01
01
11
11
00
11
10
00
01
00
10
10
10
10
01
00
10
11
00
10
00
10
00
00
10
00
01
10
00
01
10
10
01
10
00
01
00
11
11
11
01
01
10
10
10
00
00
10
10
00
01
10
00
11
00
10
00
10
00
10
10
01
00
01
00
01
10
01
10
10
00
10
00
00
10
10
00
10
00
00
00
00
10
11
11
11
10
00
11
10
00
01
11
10
11
01
00
11
11
10
10
00
10
01
01
00
00
11
10
00
11
10
01
00
11
00
10
00
10
10
00
00
11
00
00
10
10
11
01
01
10
01
01
11
10
00
00
11
11
00
00
00
00
10
10
01
01
11
11
10
11
10
10
00
00
00
00
10
10
01
10
01
10
10
00
00
11
10
10
01
01
10
11
10
01
10
00
10
11
00
00
11
10
00
10
10
00
10
11
11
00
11
10
00
10
01
00
11
10
00
11
10
10
10
00
00
10
10
10
00
00
00
01
11
10
10
00
11
00
01
01
10
11
10
01
01
10
00
10
10
00
10
10
00
10
11
10
00
01
10
10
10
00
01
10
11
10
11
00
00
11
10
11
01
00
10
00
00
00
01
10
10
00
00
00
00
01
10
10
01
10
00
10
10
10
10
01
00
00
10
10
00
10
00
11
01
00
00
00
10
00
11
10
00
00
10
00
11
01
00
11
10
00
10
01
11
11
01
00
00
00
01
11
10
01
10
01
00
10
00
10
10
11
10
10
00
01
10
11
00
11
10
10
10
01
10
10
00
10
10
00
11
10
01
10
01
10
11
01
10
00
00
10
01
10
11
01
00
00
00
00
11
00
00
10
00
00
10
10
00
11
11
00
00
01
10
00
01
10
00
00
01
11
00
01
11
10
01
11
11
00
00
01
10
11
01
00
01
10
10
00
11
01
00
00
11
10
00
11
10
01
00
10
10
10
10
10
01
00
11
10
01
10
00
00
10
10
00
00
10
00
00
10
10
00
01
10
01
11
00
01
10
00
10
11
00
01
11
10
10
01
10
00
10
10
00
10
10
00
10
10
00
01
00
00
00
11
10
10
00
00
10
00
11
01
01
00
10
11
10
00
01
10
00
10
00
01
11
11
10
00
01
10
10
10
01
01
10
00
00
00
00
00
10
10
10
01
01
01
10
00
01
10
00
10
11
00
11
11
00
00
10
01
00
10
11
10
11
10
10
00
10
10
01
00
11
10
00
00
01
00
10
00
01
00
10
01
10
10
10
10
00
10
10
00
11
11
01
00
01
00
10
00
00
00
10
10
00
00
00
01
10
01
00
01
00
00
10
11
01
00
00
11
10
00
11
11
01
10
00
01
10
11
00
10
10
00
00
10
10
10
00
00
00
10
00
01
10
10
11
00
00
11
11
10
10
00
00
00
10
11
10
00
00
00
10
01
10
11
10
00
10
00
00
00
11
00
10
00
00
10
00
00
00
11
10
11
00
10
11
00
01
11
10
00
00
11
10
01
00
01
11
00
00
10
00
00
00
00
10
10
11
01
00
10
10
11
11
00
00
00
00
10
10
11
11
01
00
00
11
11
00
11
00
00
00
11
10
10
11
00
10
11
10
00
00
01
00
01
00
10
00
01
10
11
10
00
00
11
11
00
10
11
11
00
01
01
00
01
11
10
10
00
00
01
10
11
11
01
01
01
10
01
10
11
01
01
01
11
01
10
00
01
10
11
10
00
10
10
00
01
01
00
00
10
00
00
00
01
10
01
11
10
11
00
10
00
01
10
00
01
10
10
00
11
01
01
10
10
10
00
00
10
10
01
11
10
00
10
00
11
10
10
01
10
11
00
00
11
10
10
10
11
01
00
10
10
00
10
00
11
01
01
01
00
11
00
01
01
00
10
10
00
00
01
10
00
01
10
11
11
00
11
00
10
00
01
10
10
11
00
00
10
01
00
10
11
10
10
10
10
01
00
10
10
00
00
10
10
00
00
11
00
10
00
00
10
10
10
01
11
01
00
10
00
01
00
01
10
11
00
00
11
01
00
11
01
00
10
10
00
10
00
00
11
00
10
00
10
00
01
11
11
11
11
10
00
10
10
01
00
01
00
00
10
11
00
00
10
11
10
00
00
00
00
10
01
10
11
00
00
10
10
00
01
10
11
11
00
01
00
10
10
00
00
10
10
10
10
01
10
01
10
00
01
11
01
00
11
10
10
00
00
10
11
11
00
00
01
00
10
10
10
00
10
11
10
10
11
11
11
00
10
11
10
10
00
11
11
01
01
00
11
11
11
01
01
00
00
10
10
10
00
00
00
10
00
11
10
01
10
10
00
10
11
10
10
00
01
10
11
10
00
01
00
01
01
00
00
00
10
10
10
00
11
10
10
00
10
10
01
00
01
11
11
10
00
01
10
10
00
00
10
00
00
01
11
00
01
10
00
10
00
11
00
10
11
00
01
10
00
10
10
00
00
10
10
11
10
00
10
10
01
10
01
00
11
00
10
11
00
11
11
00
01
00
10
01
00
10
00
00
10
11
10
01
10
01
01
10
00
00
10
11
11
00
00
11
10
10
11
10
10
01
00
00
01
11
00
00
10
01
01
10
10
11
00
11
11
10
01
10
11
10
00
00
10
10
01
10
10
10
00
00
10
00
11
00
10
01
00
10
11
00
10
10
00
01
10
11
11
11
00
00
11
00
10
10
10
10
10
00
00
10
00
01
11
10
11
11
01
01
11
01
10
00
00
10
11
10
01
01
10
00
00
00
11
00
01
11
11
11
00
00
10
10
00
00
01
11
01
00
00
00
10
00
10
10
10
00
00
00
10
00
10
00
10
11
10
10
00
00
00
10
01
00
10
10
00
10
01
10
11
11
00
00
10
00
00
00
10
01
00
11
10
00
00
11
10
10
10
00
10
00
00
01
10
01
10
01
11
00
00
01
10
00
10
10
10
01
00
00
01
00
10
01
10
00
00
00
10
10
10
10
00
00
00
10
00
00
10
10
10
00
11
00
01
01
00
11
10
10
10
11
00
00
11
10
11
00
10
10
11
01
01
01
10
10
00
11
11
00
00
10
01
01
00
10
00
11
01
10
01
00
01
10
00
10
10
00
10
01
00
01
00
11
11
10
01
00
01
01
00
11
11
00
00
00
00
01
10
11
01
00
10
11
11
01
01
10
10
01
10
01
00
11
10
10
01
00
11
10
00
10
00
10
10
11
01
00
01
10
10
10
10
10
00
00
00
00
10
10
10
01
00
00
00
01
10
00
10
11
01
00
00
11
10
10
00
00
10
10
10
11
01
01
10
00
10
10
10
00
00
11
00
10
01
10
01
01
00
10
10
10
01
11
00
10
00
11
11
00
11
00
00
00
10
00
01
11
11
01
10
00
11
00
01
00
10
10
10
00
00
11
11
10
10
10
00
00
10
11
10
11
00
10
10
00
00
10
00
00
10
10
01
00
10
10
11
10
10
10
00
01
10
10
10
10
00
01
00
01
01
00
10
11
01
00
11
10
11
00
01
01
11
10
10
00
00
01
11
11
00
11
01
00
11
11
10
00
11
00
01
00
10
00
10
10
11
10
11
00
11
10
11
01
01
10
10
11
10
10
00
00
10
11
10
00
00
00
00
00
00
10
10
01
00
10
10
00
10
10
01
10
01
10
00
00
10
10
00
01
11
00
11
11
11
11
00
01
10
00
00
10
10
00
10
10
01
11
10
01
10
00
00
10
00
10
01
00
00
01
11
11
01
00
01
10
00
11
10
01
00
01
11
10
10
00
11
11
01
11
10
10
11
11
01
01
10
00
00
10
10
00
01
00
01
10
01
00
10
10
11
10
00
11
11
00
00
10
11
00
10
00
01
10
11
00
10
10
01
01
01
00
11
10
00
00
10
10
11
11
00
00
10
11
10
00
00
10
11
00
10
00
00
10
01
10
11
11
00
00
00
00
10
10
00
10
00
10
11
00
00
01
10
00
01
10
11
00
10
00
00
10
11
10
00
00
10
10
01
00
11
00
01
00
00
00
11
00
10
11
01
01
10
10
00
01
10
10
00
00
00
10
10
11
00
11
11
10
01
10
11
10
00
00
11
10
01
10
10
00
01
00
00
10
10
10
00
10
00
11
10
01
11
00
10
10
10
00
00
11
10
11
10
01
10
00
00
11
10
01
00
10
00
10
00
00
10
00
11
00
10
10
00
10
00
10
00
00
10
00
01
11
11
10
10
01
10
10
00
10
10
00
10
10
01
01
00
10
11
10
00
00
11
10
00
01
10
10
01
11
10
10
00
10
10
10
00
00
11
11
10
10
01
11
10
00
11
10
10
00
00
00
10
10
10
10
10
10
01
01
00
01
10
01
10
10
00
00
10
10
01
00
01
11
00
10
11
11
01
11
10
11
10
00
10
10
01
11
01
01
01
01
00
00
00
01
11
11
01
10
10
10
10
01
10
10
01
00
01
01
00
00
00
10
10
00
10
11
10
00
00
01
00
10
00
10
00
00
10
10
11
00
10
01
11
10
01
00
00
10
11
10
01
00
11
11
10
10
11
11
00
00
10
01
10
10
00
00
10
10
00
00
11
10
00
01
10
00
00
10
01
10
11
00
10
01
01
11
11
10
01
01
01
10
11
00
10
00
00
00
11
10
00
10
11
10
11
00
00
11
10
10
10
00
00
00
00
01
10
01
10
00
10
00
10
10
10
01
01
10
10
11
00
10
10
10
10
01
11
01
11
10
00
00
10
11
11
01
00
11
11
10
10
01
00
11
10
10
10
10
01
00
00
10
11
10
01
01
10
10
00
01
00
01
11
01
11
10
10
01
00
00
10
01
11
11
01
00
10
00
10
10
00
00
10
00
00
00
10
11
10
00
11
10
00
00
11
10
01
00
00
11
10
01
00
11
10
10
10
00
00
10
01
01
11
11
11
11
00
00
00
01
00
10
10
10
00
01
10
00
01
10
10
00
01
00
10
10
10
00
00
00
10
00
10
00
00
00
00
00
00
10
10
11
10
11
11
11
11
00
10
10
10
00
00
10
11
11
00
10
00
11
10
00
00
00
11
10
11
10
00
11
01
00
10
00
01
01
01
10
10
11
11
10
01
01
01
10
11
00
00
10
11
01
11
11
00
11
11
10
01
01
11
11
00
00
10
00
10
00
00
10
10
11
10
11
00
00
11
10
00
10
11
00
00
00
11
01
10
01
00
01
00
11
10
00
10
00
00
10
01
00
10
00
01
10
10
01
00
00
01
10
10
00
10
10
00
00
10
00
00
10
10
11
00
00
00
01
01
10
11
11
00
11
00
01
00
10
01
00
10
10
00
00
11
11
01
11
10
10
11
11
00
00
11
11
01
00
10
00
01
01
00
10
10
11
01
01
00
01
11
00
10
10
01
10
11
01
10
11
10
11
01
10
10
00
00
10
10
00
01
00
10
01
11
00
01
01
01
00
01
10
10
01
10
11
00
00
00
11
11
00
01
10
11
10
11
01
00
10
11
00
01
11
10
00
00
11
11
11
00
10
10
00
11
00
01
10
00
11
11
10
10
10
00
10
10
00
10
00
00
10
10
10
10
01
10
10
01
00
00
00
01
10
00
10
10
00
01
00
10
00
11
10
10
01
00
10
00
10
11
00
00
10
11
10
11
00
10
00
10
00
00
10
10
00
00
01
00
00
10
10
10
11
11
10
00
11
00
10
10
01
01
11
00
00
01
00
10
11
00
01
01
00
10
10
00
10
01
10
01
00
01
10
00
11
11
11
00
00
10
10
01
11
11
01
00
00
10
00
00
10
00
01
10
11
01
10
01
00
10
10
10
00
01
10
10
10
01
11
01
00
00
10
11
10
00
00
10
10
10
00
01
00
10
01
10
10
10
00
00
00
00
10
01
00
11
10
00
00
01
00
00
10
10
01
10
00
10
10
10
01
00
00
10
01
01
00
00
10
00
00
10
10
10
11
01
00
11
10
11
11
00
10
00
00
11
10
01
01
01
01
00
11
11
00
10
10
00
11
10
10
00
00
01
10
10
01
10
00
10
11
11
00
01
10
00
11
00
00
00
00
10
00
10
10
00
10
00
01
11
01
00
00
01
00
01
11
01
00
11
01
10
11
00
10
10
10
00
00
10
11
10
11
10
01
10
01
01
10
01
01
00
10
10
00
00
00
01
10
11
10
00
10
00
00
10
00
11
10
00
10
00
00
00
10
00
01
11
10
01
00
10
10
01
00
10
10
00
10
10
01
10
11
10
00
00
10
11
00
11
11
01
11
11
11
00
11
10
00
00
10
10
01
00
00
00
00
01
00
01
11
11
10
10
01
10
10
00
00
11
00
11
10
10
00
10
11
11
01
01
01
11
00
10
01
11
10
01
00
11
00
00
00
10
00
01
10
11
10
00
10
11
00
00
11
11
10
00
10
00
01
10
01
00
00
11
10
11
01
01
00
01
00
11
00
00
11
10
11
00
11
10
10
11
01
00
01
11
00
01
10
10
00
01
10
00
10
10
00
01
00
00
00
00
10
10
01
10
00
01
01
01
11
01
11
10
01
11
11
01
00
10
11
11
00
01
10
10
01
10
11
10
00
00
10
01
10
11
00
10
00
00
01
00
01
10
00
00
11
10
10
10
00
00
10
00
00
00
10
10
01
00
01
10
11
00
00
10
00
01
00
10
11
00
10
01
10
10
00
11
11
01
11
10
11
10
00
10
01
00
11
10
01
10
10
00
01
00
10
11
00
10
01
00
10
10
00
00
11
11
00
00
10
00
01
00
11
10
00
00
10
10
00
10
10
00
00
00
10
00
00
00
00
11
00
10
11
00
00
00
00
01
01
11
10
01
00
10
11
01
01
11
11
01
10
11
11
01
00
10
10
11
00
01
10
10
10
10
10
00
00
10
00
01
00
00
10
01
01
00
10
11
10
00
00
11
00
00
10
01
10
01
01
11
11
01
10
01
00
01
10
10
00
10
00
11
00
01
01
11
10
10
10
01
01
10
00
00
10
10
00
01
11
10
11
00
10
10
10
11
10
00
00
11
00
10
01
01
10
11
00
00
00
10
11
00
00
11
01
01
10
01
10
10
01
10
01
00
10
11
10
10
00
10
11
10
01
00
10
10
00
10
10
01
00
10
10
11
10
10
01
00
10
11
00
10
01
00
10
10
01
01
00
00
10
00
00
10
00
00
10
10
00
11
10
00
10
00
01
00
00
10
10
10
00
11
00
10
10
10
00
10
00
01
00
11
10
10
11
10
10
00
00
10
01
00
01
00
10
00
00
00
10
10
00
01
11
00
00
11
00
00
11
00
11
10
01
00
00
01
11
10
10
10
10
10
00
00
00
00
10
10
00
01
00
10
11
00
10
11
10
00
10
10
11
10
00
11
00
11
11
11
10
00
00
00
11
00
01
11
00
00
10
00
10
10
01
10
11
10
01
10
00
00
11
00
00
00
11
00
10
11
10
00
00
00
11
00
00
00
00
00
00
10
00
10
10
11
00
00
01
11
01
10
11
10
10
10
00
01
11
10
01
00
10
10
10
10
01
01
10
00
01
00
01
00
01
10
11
11
11
10
00
01
11
10
00
00
10
00
10
10
00
00
01
10
11
00
01
10
11
10
00
00
11
01
00
10
01
00
10
10
10
01
00
10
00
10
01
00
00
10
11
10
00
10
10
00
10
10
10
00
10
11
01
10
11
00
01
11
11
00
00
00
10
00
10
10
00
10
11
10
11
00
00
11
11
10
01
10
10
10
01
00
00
00
11
10
01
10
10
00
00
01
00
10
00
01
01
00
01
11
11
01
00
01
10
11
10
01
00
10
10
01
00
10
00
10
00
10
01
00
10
01
01
11
00
11
10
10
00
10
00
00
00
11
01
10
10
10
00
00
10
00
00
00
10
11
01
10
01
11
01
10
10
00
01
00
11
00
10
11
10
01
00
10
10
00
11
00
10
00
00
00
01
00
10
10
01
11
00
11
00
01
01
01
10
00
00
11
00
00
00
00
11
10
10
10
11
10
10
01
10
01
11
00
00
01
00
10
10
00
10
01
10
10
01
00
00
11
10
00
10
01
00
00
01
10
11
10
11
10
10
01
11
00
00
10
11
11
01
00
11
10
11
00
10
01
00
11
10
10
10
00
11
10
11
00
00
10
01
11
00
10
01
10
00
10
11
01
10
01
11
10
00
00
01
10
10
00
00
10
11
00
11
10
10
00
00
01
01
10
00
11
10
11
10
01
10
11
11
00
00
10
11
00
00
10
00
00
10
10
01
10
10
10
01
00
10
10
10
01
10
00
00
00
00
11
10
01
11
00
10
11
11
10
01
00
11
10
00
10
01
00
00
00
10
11
00
01
00
10
01
00
10
10
10
01
10
11
01
11
00
00
10
10
10
00
10
11
11
00
00
00
11
10
00
01
10
11
01
10
00
10
00
01
00
11
11
01
01
01
10
01
00
11
10
00
00
10
10
00
01
10
11
11
00
00
10
11
00
00
10
00
10
10
00
10
00
00
00
00
11
00
10
00
00
00
11
00
00
10
11
00
00
01
10
11
00
00
00
10
00
01
11
10
01
01
00
00
00
00
11
10
01
10
00
11
01
00
10
10
00
11
10
01
01
11
11
01
00
11
11
01
00
10
11
00
10
11
10
00
11
01
11
00
00
10
10
11
01
00
01
00
00
10
10
11
00
10
10
00
10
01
00
11
01
10
00
00
00
00
00
10
10
11
10
00
00
00
10
10
01
00
01
00
10
00
00
10
00
11
11
11
10
10
00
11
10
00
11
00
00
00
10
11
00
11
11
00
10
11
10
01
00
10
10
00
00
10
10
01
10
00
10
01
01
00
00
00
00
10
00
00
10
10
00
00
11
11
01
11
10
11
10
11
00
11
11
00
10
10
10
10
10
00
00
11
10
01
10
01
10
10
10
01
10
01
11
10
10
00
01
00
01
10
01
00
10
11
00
11
11
00
10
00
01
00
01
10
10
00
00
10
10
00
00
11
00
01
00
11
00
00
10
01
10
10
10
01
00
00
01
10
00
11
00
11
01
00
11
01
00
10
00
00
00
10
01
00
10
11
01
11
10
10
00
11
10
00
11
10
01
00
10
00
00
10
10
11
00
00
11
00
11
10
10
00
10
11
10
01
11
00
01
10
00
10
10
00
10
11
11
11
01
10
00
00
01
00
00
11
11
11
00
10
00
10
10
00
00
10
00
11
11
00
10
11
00
11
01
11
10
10
01
10
00
01
10
00
00
10
00
10
00
01
10
10
11
00
01
10
00
10
10
00
10
00
00
00
11
11
10
01
00
01
00
10
10
01
10
00
10
11
10
00
10
00
01
11
10
01
10
10
11
10
00
10
10
01
01
11
10
01
01
01
10
10
11
01
00
10
01
01
11
11
10
01
10
00
00
10
11
00
10
10
10
10
00
01
11
10
11
10
10
11
00
00
00
00
11
10
00
00
00
00
00
01
11
10
00
01
00
01
10
10
10
11
10
00
00
10
01
00
11
00
00
00
10
11
00
00
01
10
00
00
10
11
00
00
11
10
01
10
10
00
01
10
01
01
10
11
10
10
00
00
10
10
11
00
10
00
10
00
10
01
01
00
10
10
00
10
11
00
11
11
10
01
10
00
00
10
11
01
10
11
11
01
00
00
10
10
11
00
00
10
10
00
00
01
10
10
11
00
01
10
00
00
11
00
00
11
11
10
00
11
11
00
10
10
01
11
01
10
10
01
00
11
00
00
10
00
10
11
00
01
11
01
01
00
10
00
10
10
10
11
00
10
10
00
01
10
11
10
11
00
00
00
10
11
01
00
10
11
01
10
00
10
11
00
00
10
00
11
01
01
01
00
00
10
10
10
11
00
11
11
10
10
10
11
01
10
10
10
10
00
11
01
01
10
10
01
00
00
11
10
00
10
01
00
10
00
01
10
01
10
10
00
01
01
10
01
01
10
10
01
10
00
10
10
10
00
00
10
00
01
11
01
11
00
00
11
10
00
01
10
10
01
00
10
00
10
00
10
10
11
11
00
00
00
00
00
00
00
00
10
01
11
10
10
11
00
10
00
11
01
01
11
10
11
01
10
10
10
01
11
00
01
00
01
11
00
10
11
11
10
11
00
00
01
10
11
10
01
00
00
10
10
00
11
00
00
00
10
10
00
00
10
00
10
00
10
10
00
10
01
10
11
00
00
11
10
00
00
10
00
10
10
11
00
01
01
10
00
01
00
10
10
00
10
10
01
10
11
01
00
10
10
10
10
10
01
00
11
00
10
00
00
00
01
01
10
11
01
01
10
00
00
01
00
10
11
01
00
00
01
11
00
01
00
01
10
00
10
10
10
10
11
00
11
10
00
00
10
10
10
10
00
10
00
11
10
10
00
00
10
00
10
00
11
00
00
10
10
00
10
00
10
10
00
00
10
01
00
11
11
00
10
10
10
10
11
00
01
10
00
00
00
00
10
11
10
11
10
11
10
01
10
10
00
01
00
10
00
00
11
00
00
10
10
11
00
01
10
00
10
00
10
11
11
10
00
11
11
00
00
11
11
00
01
10
00
00
01
11
01
11
10
01
10
01
00
01
10
00
10
11
10
11
00
01
00
11
00
00
10
10
00
00
10
01
10
10
00
10
00
00
00
00
10
01
11
01
00
10
00
00
00
11
11
11
00
10
00
00
01
00
10
00
00
11
00
00
01
11
10
01
00
10
01
10
01
10
00
00
00
10
10
00
00
10
01
10
10
11
01
00
10
10
11
10
00
00
00
10
00
00
00
11
01
10
10
00
00
11
10
10
00
01
00
01
10
11
00
01
11
10
10
00
01
00
10
11
00
00
10
10
10
00
10
10
00
00
00
10
00
11
01
10
00
10
01
00
00
10
00
00
00
10
01
10
11
11
10
00
00
10
01
01
01
10
10
01
01
00
10
11
01
01
00
10
00
00
00
00
11
00
00
10
10
10
11
10
10
00
10
10
11
01
00
01
10
01
01
00
00
00
10
11
01
11
10
01
11
00
00
00
10
10
00
00
00
10
10
00
10
11
10
10
00
00
01
10
00
00
00
00
01
10
10
10
10
00
10
00
00
11
10
00
00
10
00
11
01
00
10
10
11
01
10
11
00
11
10
00
11
11
00
00
11
10
10
00
10
11
11
00
00
00
10
01
00
01
10
10
10
10
01
00
11
10
01
11
11
01
00
10
01
00
11
10
01
01
11
01
10
01
10
00
00
00
00
11
11
00
00
11
10
01
01
00
10
00
00
10
00
10
01
10
11
10
00
10
01
01
00
00
11
11
11
00
00
10
10
00
01
10
10
00
00
10
10
10
00
01
11
10
01
10
11
01
01
00
10
10
00
00
11
00
01
00
10
10
10
00
01
00
10
00
00
10
11
00
10
11
01
10
10
11
00
10
00
11
10
01
10
10
10
00
10
00
00
10
01
10
11
10
00
00
10
10
01
00
10
11
10
01
01
01
10
10
11
00
10
11
11
00
11
01
10
10
10
00
01
00
11
10
01
01
10
10
11
00
00
10
00
00
10
11
01
00
11
10
00
11
01
11
10
01
01
10
11
00
00
10
10
00
10
11
10
01
00
11
01
10
10
10
11
00
11
10
01
11
01
00
11
00
00
11
11
00
00
00
10
10
00
00
11
11
00
10
10
10
00
10
10
01
00
10
10
10
00
10
11
11
10
11
11
00
00
00
01
00
11
10
00
10
01
00
11
10
10
11
00
10
10
10
01
01
01
11
11
00
00
10
01
00
10
11
01
10
10
11
00
01
10
00
00
00
11
00
00
11
11
01
00
11
01
11
00
01
00
10
10
00
00
10
11
01
01
00
10
10
00
00
00
10
10
00
10
00
11
10
10
10
00
00
10
01
01
11
10
11
00
00
10
10
00
00
11
00
10
00
00
00
11
11
01
00
01
10
00
00
10
10
00
00
11
01
01
10
00
00
01
00
11
11
01
00
10
10
10
11
01
11
00
00
01
00
11
11
00
00
11
11
00
00
10
11
10
01
00
01
00
00
11
10
11
00
00
11
00
00
00
11
00
11
00
00
10
10
10
10
00
00
10
10
01
00
10
11
00
11
01
10
01
01
00
00
00
10
10
01
00
10
01
01
11
01
11
10
11
00
00
10
10
10
00
11
10
00
01
10
01
11
10
00
01
11
10
11
00
01
00
10
10
10
00
01
11
01
00
11
11
00
11
00
01
10
10
10
11
11
00
01
10
00
10
00
10
10
10
01
10
10
10
00
10
11
00
11
00
10
00
11
00
01
10
10
00
00
10
01
10
11
10
11
00
00
00
10
00
00
10
11
10
11
00
10
10
01
10
11
01
01
00
11
10
00
10
10
11
10
11
00
00
10
10
10
00
10
01
10
10
10
01
11
11
10
11
00
00
00
10
00
00
00
11
10
00
00
00
00
01
10
11
10
11
00
11
11
00
10
00
10
10
01
00
01
00
10
00
10
00
10
10
00
01
01
10
11
11
11
10
11
00
10
10
01
10
01
10
10
10
11
11
00
00
10
10
11
01
10
10
10
10
10
00
01
11
00
10
00
10
00
00
10
00
00
00
11
00
10
10
11
00
00
01
00
11
10
10
10
01
00
10
01
01
00
01
01
10
00
01
00
00
01
10
11
00
01
11
10
10
01
10
11
00
00
00
11
11
10
01
00
10
10
00
00
00
00
10
10
00
10
00
01
01
11
11
10
01
01
00
00
10
10
01
10
10
00
00
11
10
00
01
10
00
10
10
10
01
10
10
10
00
01
00
10
10
11
11
10
00
00
10
01
11
01
01
10
11
10
00
10
00
00
00
10
10
00
00
10
11
00
01
01
01
00
01
10
00
01
10
00
10
10
00
00
10
11
11
01
00
00
00
10
10
10
00
01
10
11
10
01
01
11
00
00
00
00
00
10
01
00
00
10
00
11
00
11
10
11
10
00
00
00
01
10
00
00
00
10
10
01
10
01
01
10
00
00
10
11
00
00
11
10
10
10
00
01
00
10
10
01
11
10
00
10
01
00
11
11
01
01
10
11
00
01
00
00
10
10
11
00
01
10
10
11
00
10
01
00
10
10
01
11
10
00
00
00
00
01
10
10
00
00
10
01
10
10
00
01
00
00
11
10
00
11
01
10
00
00
11
10
00
10
00
01
10
01
00
00
00
10
10
00
00
11
01
00
00
01
00
11
01
00
10
01
11
10
01
10
00
10
00
00
10
10
00
11
10
10
00
01
01
00
10
11
00
10
10
00
01
10
10
00
11
10
10
10
00
10
10
01
00
10
10
11
10
01
00
10
10
00
00
00
00
11
10
00
10
01
00
10
00
10
01
00
00
01
01
10
00
01
11
00
00
11
00
00
11
10
10
00
10
11
10
10
00
00
10
01
10
10
01
00
00
00
10
00
10
10
01
10
00
00
11
10
01
11
10
10
01
00
11
10
00
00
10
00
00
00
10
01
00
10
01
11
11
10
10
10
11
10
00
00
00
10
01
00
01
10
00
00
01
00
10
00
11
00
00
10
01
11
11
01
00
10
11
01
11
00
01
11
10
00
00
01
10
00
01
10
11
00
00
00
10
10
11
01
01
01
11
10
00
10
10
00
00
10
11
11
01
00
00
10
10
01
00
01
01
00
00
10
11
11
11
00
10
10
00
11
10
10
00
01
00
01
10
11
10
00
10
00
10
10
10
11
01
00
01
01
10
00
00
01
11
11
01
11
10
00
01
01
10
10
00
00
10
10
00
00
10
10
10
01
10
10
10
10
01
10
01
01
00
10
10
10
11
01
00
00
01
11
00
10
11
10
00
00
11
01
00
10
11
10
11
11
00
10
00
01
00
00
10
10
11
00
01
00
10
11
01
10
10
10
10
10
00
00
10
01
01
10
10
10
00
00
00
11
11
10
01
10
10
00
10
00
10
00
01
00
10
10
10
00
10
10
00
00
00
11
01
10
11
00
11
00
11
00
00
00
10
10
00
10
10
10
00
10
01
01
10
11
00
10
01
00
10
01
00
10
00
10
00
01
10
11
11
10
00
11
11
00
00
10
10
00
01
01
00
10
10
00
00
11
11
10
00
10
00
10
00
00
11
10
01
00
00
10
00
01
10
11
01
01
00
11
10
01
01
10
10
10
01
00
11
10
00
10
10
10
10
00
01
00
10
00
01
11
01
10
00
11
00
00
01
11
10
00
10
01
10
11
00
00
00
11
00
10
10
00
01
10
10
10
00
10
00
00
10
01
01
00
10
10
00
01
10
01
10
10
01
00
10
10
10
01
01
00
11
00
01
10
00
10
10
00
00
00
10
10
10
10
10
01
00
10
11
10
01
00
11
10
10
10
10
11
11
00
00
00
01
11
00
01
11
00
00
10
11
10
01
01
01
11
11
00
00
11
00
00
10
10
01
11
11
10
00
01
10
11
11
01
00
01
11
10
00
00
01
10
10
01
00
10
10
01
10
10
00
00
11
01
01
11
10
00
11
00
00
00
10
10
00
11
10
10
00
10
10
10
00
01
10
11
10
10
11
10
00
10
00
00
00
11
10
00
01
10
00
01
01
10
11
00
00
00
01
01
01
01
11
10
00
00
10
11
10
00
00
10
00
01
11
01
00
00
10
10
01
00
11
11
10
10
10
11
00
00
00
00
00
00
10
10
10
10
00
01
10
11
01
00
11
10
11
00
00
11
00
00
11
00
11
10
00
11
11
00
01
01
10
11
11
11
01
00
10
01
01
10
00
00
11
00
00
11
01
00
00
00
10
10
00
00
10
10
11
01
10
01
00
10
10
00
00
11
11
01
01
10
10
00
10
11
01
10
01
00
00
00
11
00
00
11
10
10
10
11
11
01
00
10
10
01
01
10
10
11
10
01
11
01
00
11
10
10
10
01
00
10
10
01
11
00
00
01
10
10
11
11
11
11
00
00
00
10
11
10
00
01
10
10
10
10
00
10
01
00
00
11
10
11
00
00
10
10
00
10
00
00
00
01
01
10
10
10
00
10
10
00
00
11
11
10
01
00
10
00
00
00
10
11
00
00
10
11
11
01
10
11
10
00
11
10
00
11
10
00
00
00
00
00
00
10
10
00
11
01
00
10
10
10
10
01
01
10
10
00
10
10
11
01
00
10
10
10
00
00
01
10
10
01
10
00
10
00
10
00
10
10
00
10
00
00
00
11
11
10
10
00
00
01
11
00
01
10
10
10
10
01
01
10
10
00
10
11
00
00
11
10
11
10
00
10
10
10
01
00
10
10
11
00
10
10
11
11
01
00
00
10
11
10
10
10
00
00
10
00
00
11
10
00
01
01
10
10
10
11
10
01
00
01
10
10
00
00
10
10
11
00
01
11
10
00
00
10
10
10
01
00
01
10
11
01
01
00
11
00
00
10
10
11
10
00
01
11
11
01
00
10
00
10
11
00
00
00
10
10
10
00
11
11
10
11
01
10
10
11
10
00
01
01
10
00
11
10
00
10
01
10
11
11
00
10
11
01
10
10
00
01
00
10
10
01
00
11
11
10
11
00
00
10
10
00
00
10
10
00
00
00
11
10
00
10
01
00
00
11
10
10
11
01
01
11
10
10
00
10
00
10
10
00
10
10
11
01
01
11
00
00
10
11
11
00
01
11
11
00
00
01
10
10
00
00
11
00
01
11
00
10
10
10
00
01
10
01
00
10
10
11
00
00
11
10
10
00
01
01
00
00
10
00
10
00
00
01
00
00
10
11
10
01
01
00
10
10
10
10
10
01
01
00
00
11
00
10
11
00
00
11
11
00
00
10
00
01
10
10
01
00
10
10
10
10
10
01
01
00
10
01
00
01
11
11
00
00
00
10
00
00
11
11
11
00
01
00
00
00
00
11
11
00
01
01
00
00
11
11
10
00
00
10
00
00
00
00
01
00
11
10
10
00
01
10
10
01
00
10
00
11
00
01
11
10
10
10
11
00
01
10
10
10
00
11
01
01
10
00
10
00
10
10
00
00
10
11
10
11
10
01
10
10
10
11
00
01
10
10
00
00
11
00
10
10
10
00
00
00
00
10
11
00
00
11
00
01
10
00
01
10
00
10
10
01
00
00
10
10
10
10
10
11
00
01
00
10
10
01
10
10
01
01
00
11
01
00
00
01
00
10
10
11
00
10
10
00
10
11
10
01
00
00
10
00
11
10
01
00
00
11
01
10
00
11
10
00
00
00
10
00
10
01
10
11
10
10
00
11
10
10
01
01
10
10
00
01
10
00
01
10
10
10
00
01
11
11
01
01
00
10
10
10
10
10
01
00
01
00
10
00
00
10
10
10
00
01
10
00
00
10
10
01
10
10
10
00
10
00
01
10
11
01
10
00
01
01
00
11
11
10
10
01
00
01
01
10
01
00
10
00
11
10
11
00
11
00
00
10
10
00
01
10
10
00
01
11
00
11
10
10
00
00
10
10
10
00
01
11
01
00
00
11
11
11
01
10
10
00
10
00
11
10
01
01
01
10
10
00
00
11
10
01
11
11
00
01
10
11
01
10
01
00
01
10
11
00
00
00
10
10
00
00
00
01
01
00
11
10
10
10
10
00
00
11
11
00
00
00
10
10
10
10
00
11
01
00
11
01
10
11
11
10
00
00
10
11
10
10
10
00
00
00
10
00
01
00
00
01
10
01
10
11
00
10
00
01
00
10
10
10
10
11
11
10
00
01
00
11
01
01
11
00
00
11
10
00
01
10
10
11
01
00
10
10
00
11
00
11
10
11
00
10
00
01
11
11
10
01
00
01
10
01
00
10
01
00
00
10
00
00
01
00
10
10
00
10
01
00
11
11
00
00
10
00
10
01
10
11
00
00
00
10
01
00
00
11
10
00
10
10
11
11
10
01
00
11
10
10
00
00
11
01
10
10
00
00
10
10
00
10
10
00
01
11
10
00
00
00
10
01
10
00
01
10
00
00
10
00
00
11
00
11
00
00
11
00
01
01
01
10
00
00
10
11
00
00
01
00
10
00
10
00
01
01
10
10
11
10
11
00
00
01
11
00
10
11
01
01
10
10
01
01
11
10
10
00
00
00
00
10
10
01
00
10
11
10
10
01
11
10
00
00
01
10
00
11
00
00
10
00
00
11
00
11
10
10
00
01
11
10
00
00
10
11
00
00
10
11
00
11
10
10
00
10
11
00
10
10
10
00
01
10
10
11
00
11
00
10
00
01
11
11
00
01
10
10
11
00
10
11
00
00
00
10
11
10
00
00
00
10
01
00
00
00
01
11
10
10
10
01
11
11
01
01
01
00
10
10
11
10
00
00
10
10
11
11
01
10
10
00
00
00
10
00
01
10
01
00
10
00
01
00
00
10
10
10
01
10
10
01
00
10
00
10
10
01
11
01
11
11
11
01
01
11
00
10
10
00
00
10
00
00
10
00
10
10
10
10
10
00
00
11
10
10
10
10
10
10
00
11
10
10
10
00
00
00
10
01
01
00
01
11
10
10
00
01
10
11
01
01
11
10
00
10
00
01
10
11
00
10
00
10
10
10
00
01
10
00
10
01
11
00
00
01
11
11
01
11
01
11
10
01
11
01
01
10
00
00
10
11
10
01
00
00
10
00
10
00
00
10
11
10
10
00
00
10
10
01
01
01
01
11
00
00
00
11
00
10
11
01
00
10
11
01
00
11
10
10
10
10
00
00
00
00
00
11
00
11
11
01
10
10
11
00
10
11
01
11
00
11
10
11
01
01
01
11
10
00
00
11
10
00
10
10
10
10
00
00
00
10
01
11
01
01
00
00
00
00
11
10
00
00
00
11
00
00
11
10
01
10
00
10
10
00
10
00
00
01
11
00
01
10
00
01
01
10
10
11
01
01
01
10
00
10
10
00
10
00
10
10
00
10
00
11
10
10
00
01
00
00
10
10
00
00
10
01
01
10
10
01
11
01
01
10
01
01
11
00
10
11
00
00
10
00
10
10
00
00
10
10
11
10
10
00
01
10
00
00
11
10
00
00
10
00
01
00
10
00
01
11
10
00
01
11
00
01
11
01
10
10
11
00
01
11
00
10
10
10
01
10
10
01
10
00
10
10
00
00
10
10
01
01
10
00
01
10
10
11
10
00
00
10
01
10
10
00
11
01
11
11
01
10
01
11
11
00
00
10
11
10
00
11
10
10
10
00
01
00
11
00
10
00
00
10
10
11
01
10
10
01
11
10
00
10
10
10
00
01
10
11
00
00
10
11
10
00
01
10
10
00
10
01
01
10
00
10
10
11
10
11
00
01
00
10
00
00
01
11
00
00
11
01
11
10
00
00
11
10
10
01
01
00
10
00
11
11
00
00
11
01
00
00
00
10
00
11
00
00
10
11
10
01
10
10
10
10
00
10
10
00
01
10
11
01
10
10
10
00
10
11
00
10
10
00
00
10
00
00
10
10
01
00
01
00
01
01
11
00
00
00
10
10
01
11
10
10
11
00
10
10
11
11
00
01
00
01
00
00
00
10
10
11
10
00
00
10
01
00
01
10
10
00
00
01
00
00
10
10
01
10
00
10
00
10
00
10
00
00
10
00
00
00
10
10
00
11
11
10
00
10
00
00
00
10
01
01
00
10
10
00
10
00
00
11
00
00
00
10
01
11
10
00
10
11
11
11
01
10
10
11
00
11
10
10
01
11
10
10
00
11
00
01
10
01
01
00
10
00
00
10
00
00
00
10
00
10
00
11
01
10
01
10
11
10
00
00
00
00
11
10
11
01
01
10
00
11
10
01
00
11
10
10
01
10
00
11
01
00
10
01
10
10
00
01
11
01
00
10
11
01
01
01
00
10
10
00
10
11
00
00
10
10
00
00
11
00
00
00
00
10
01
00
10
11
00
00
11
10
01
00
01
10
00
00
11
10
00
00
10
00
10
11
00
10
11
00
10
10
00
00
01
10
10
01
01
10
01
00
10
00
00
11
10
10
01
01
10
10
00
11
00
01
10
11
11
10
00
11
10
10
01
00
10
00
01
00
01
11
11
01
10
10
10
10
00
10
00
10
11
00
00
10
00
00
00
10
01
00
10
00
11
01
00
10
11
10
00
00
01
11
00
00
10
10
00
11
10
10
01
01
10
10
10
00
10
00
11
10
00
00
11
10
10
11
00
01
11
10
00
01
00
10
11
10
10
00
10
01
11
00
10
01
10
00
10
10
00
00
01
10
11
11
00
10
10
10
10
00
00
11
00
00
10
11
00
10
10
00
00
10
10
00
01
10
10
01
10
00
00
00
01
10
11
00
11
01
10
11
10
10
00
11
11
10
11
01
10
10
10
01
11
10
00
10
10
00
00
11
10
00
11
11
11
01
00
10
11
00
11
10
00
00
00
10
00
11
10
00
11
10
10
01
10
11
00
00
00
00
00
01
11
11
10
00
01
10
01
00
10
11
10
00
00
00
10
00
10
10
00
10
11
10
00
00
01
00
00
01
10
10
01
00
11
10
00
11
00
00
01
00
11
10
00
01
10
10
10
00
11
11
01
10
11
10
01
10
00
00
10
11
01
01
00
10
00
10
01
00
10
10
00
00
10
01
01
10
11
10
01
00
00
10
01
10
10
00
00
00
11
11
00
00
01
10
01
10
10
01
10
10
00
01
10
01
00
11
10
00
01
00
00
10
11
00
10
10
01
00
10
00
00
11
00
01
01
10
10
10
00
10
00
00
11
10
01
00
01
01
00
10
01
10
10
10
00
01
01
00
11
10
10
01
11
01
00
10
10
00
10
00
10
10
01
10
00
00
11
10
00
10
11
10
00
00
10
10
00
00
10
11
11
11
00
00
11
10
10
01
10
00
01
00
10
10
00
10
10
10
00
10
10
10
10
10
00
10
00
10
10
00
00
10
10
10
00
01
10
00
10
11
00
00
10
10
11
00
00
00
11
10
10
11
01
10
00
01
00
00
00
00
11
10
10
11
00
11
01
01
11
00
10
11
00
00
11
10
00
10
01
01
10
00
10
10
01
11
00
10
00
10
00
10
11
10
00
11
00
00
00
00
10
00
00
01
00
11
11
01
00
10
00
10
10
10
00
00
00
10
00
00
11
11
01
00
10
10
01
11
00
11
11
00
11
10
10
00
10
10
01
00
00
11
01
01
10
01
10
11
10
10
01
00
11
10
10
00
01
00
10
10
00
00
00
01
11
11
00
00
10
01
10
01
00
11
11
10
10
10
00
00
11
10
00
01
10
10
00
00
00
00
10
00
00
10
11
00
01
10
00
11
10
01
00
01
01
10
00
10
11
00
10
10
00
00
00
00
00
00
00
10
10
00
00
00
11
00
10
01
10
10
00
01
00
10
00
11
10
00
11
00
00
10
10
10
10
01
00
01
10
10
01
00
11
00
01
11
11
10
10
01
01
10
11
00
00
11
10
10
01
00
00
10
10
11
10
11
00
10
10
00
10
00
10
11
10
00
10
01
01
01
10
11
11
10
00
00
01
10
10
11
00
00
00
01
10
00
10
10
10
01
00
00
10
10
01
00
10
01
10
00
10
10
00
10
00
00
00
00
01
01
00
10
10
10
01
01
11
01
10
01
01
01
10
10
00
01
00
11
01
01
10
11
00
00
11
10
00
00
00
10
10
11
00
00
10
00
00
10
11
00
11
10
01
00
10
10
11
11
00
11
01
10
10
11
10
00
00
11
00
01
11
01
10
11
01
10
00
11
01
10
11
00
00
10
11
00
00
11
10
10
00
10
10
10
01
10
00
00
11
00
01
11
10
00
10
00
00
10
10
01
01
00
11
10
01
10
01
00
11
01
00
10
10
00
00
01
10
11
00
11
10
01
10
00
10
11
01
11
01
01
01
10
11
00
11
10
00
00
11
00
10
00
00
00
10
00
10
10
00
00
01
00
10
10
11
01
00
10
10
10
10
01
00
11
01
01
00
01
10
01
00
00
10
10
00
00
10
10
00
10
11
00
00
00
10
10
00
00
10
11
00
10
00
10
10
01
00
01
00
01
00
00
00
00
10
10
00
10
01
00
10
10
10
01
11
00
11
00
00
11
00
01
11
01
00
11
00
10
10
00
00
00
10
10
10
10
01
11
10
00
11
10
00
00
10
10
00
01
01
11
01
00
10
00
00
10
11
10
01
10
10
10
00
01
11
11
00
01
10
11
10
01
00
10
00
11
00
00
10
00
10
11
10
01
00
10
00
10
00
10
11
01
00
01
11
00
01
01
10
01
00
11
01
01
00
11
00
00
10
10
01
10
11
10
00
00
10
00
01
10
10
01
10
10
01
10
00
00
01
00
10
00
11
10
00
00
11
10
00
10
00
00
00
11
10
00
10
10
00
01
01
10
00
01
10
00
10
10
01
00
00
00
10
11
10
00
11
10
00
11
01
10
10
11
00
10
10
00
10
10
00
10
10
00
00
11
11
10
10
00
00
10
10
00
10
10
00
11
00
00
10
11
10
01
10
00
01
01
01
00
11
10
10
00
00
10
10
11
00
10
01
01
10
00
10
11
00
00
00
10
10
00
10
00
11
00
00
10
00
10
11
11
01
10
10
11
00
10
11
00
11
01
11
01
00
11
10
10
01
10
00
10
00
01
10
01
10
11
10
10
10
00
10
00
11
11
10
00
00
00
10
00
10
10
10
00
00
00
11
00
01
00
10
11
00
10
00
11
10
10
00
01
10
11
01
11
10
00
00
01
00
10
11
01
10
00
00
11
00
10
10
00
10
10
01
10
00
11
11
00
00
11
00
10
11
10
11
00
00
00
10
10
01
00
10
01
00
10
00
01
11
00
00
10
00
01
00
10
10
00
00
00
10
10
00
00
01
10
01
00
00
01
10
00
00
10
00
11
10
10
10
11
01
00
01
00
10
11
00
10
10
00
10
00
11
00
00
01
10
10
11
10
00
00
10
00
10
01
01
00
00
00
10
01
00
11
10
00
10
01
10
01
10
11
00
00
10
10
10
01
00
10
00
00
10
10
00
00
00
11
10
01
10
10
01
11
10
10
10
00
00
11
00
10
01
11
00
10
00
00
01
00
10
10
01
10
00
10
00
11
00
00
00
10
10
01
10
11
10
01
00
00
00
11
00
01
00
00
00
11
10
00
10
10
11
10
00
11
11
01
10
01
11
11
11
01
01
10
01
11
11
00
01
10
11
00
00
00
10
11
01
10
10
11
00
10
10
11
00
10
00
00
10
10
10
01
01
10
10
10
10
00
01
01
10
10
00
00
00
00
01
11
00
00
10
10
10
11
11
00
10
10
00
10
00
00
01
11
11
10
01
10
00
01
10
00
10
00
00
01
01
11
00
00
00
11
11
00
00
01
10
10
11
00
11
11
00
10
00
00
00
01
11
01
00
11
11
10
10
10
00
01
10
10
01
11
00
11
10
11
10
10
10
01
10
00
11
00
11
01
10
10
10
01
01
10
10
00
10
10
10
11
00
11
10
01
00
10
00
01
00
11
11
00
10
00
10
11
01
00
00
01
10
00
11
10
10
10
10
01
01
10
10
00
10
00
11
11
00
11
10
10
00
01
10
01
10
10
01
11
00
00
10
10
00
00
11
10
00
01
10
01
11
11
10
10
00
11
00
00
01
11
11
01
00
11
00
00
00
10
10
10
10
01
10
00
10
01
00
00
01
10
00
00
10
10
10
00
10
00
10
00
10
10
10
10
11
01
00
10
01
01
11
10
10
00
11
01
11
10
11
10
00
10
00
00
01
01
11
10
01
11
10
11
01
10
11
01
10
10
00
10
00
01
10
10
10
01
10
00
00
01
01
10
10
00
00
01
01
10
11
00
11
00
11
10
11
00
00
00
11
10
01
01
11
01
01
00
00
00
10
11
01
00
11
11
01
10
10
00
00
01
11
11
00
11
11
01
00
00
10
10
00
10
10
00
01
11
00
00
00
00
10
00
00
10
11
00
00
11
00
00
10
01
00
10
10
00
11
10
10
10
00
00
10
11
01
10
01
01
11
01
11
11
01
00
10
10
00
00
00
10
10
11
10
00
10
10
10
10
10
01
01
00
10
01
00
10
10
00
11
11
10
00
01
10
00
00
10
10
01
00
00
10
10
11
01
11
10
01
00
11
00
00
11
11
01
00
10
10
01
11
10
00
00
01
01
00
11
10
10
00
11
10
10
00
00
10
10
10
00
00
10
10
00
00
11
00
11
00
11
00
00
00
10
10
01
10
01
10
00
11
10
10
10
00
01
10
10
01
00
01
10
10
00
11
10
10
00
00
00
00
00
11
11
01
11
10
01
10
11
00
10
11
00
00
10
01
01
10
01
00
00
10
01
10
11
10
11
00
01
10
01
00
10
11
10
01
00
00
10
10
00
00
10
11
11
11
11
10
11
00
10
00
01
10
11
00
01
10
11
10
10
00
01
11
10
10
00
00
10
10
00
00
11
11
01
00
00
01
00
10
00
10
00
10
00
00
11
10
11
10
10
10
00
00
10
01
00
10
10
01
00
00
11
11
11
10
10
00
10
00
10
01
10
11
10
01
10
11
00
00
10
10
00
10
00
01
01
01
10
01
11
00
00
10
10
00
11
11
00
01
11
00
00
10
00
10
10
00
01
00
11
00
00
10
11
00
10
10
01
10
00
00
10
11
10
01
01
00
11
00
11
01
10
11
10
10
01
11
10
11
11
10
00
01
11
00
10
10
01
00
10
11
00
00
11
00
00
10
11
10
10
10
01
00
01
00
00
00
11
10
00
01
10
11
01
00
00
00
10
10
00
10
10
01
00
10
10
01
00
11
10
01
10
11
10
10
00
00
00
10
10
01
11
10
11
10
10
00
10
11
10
01
00
01
10
00
00
10
10
00
10
10
10
10
00
01
10
00
01
10
01
00
00
11
10
11
10
00
01
10
11
11
01
00
00
10
10
10
00
00
10
01
00
10
00
11
00
10
00
00
01
10
01
10
10
01
01
00
10
10
01
00
00
01
11
01
11
10
00
10
01
10
00
11
10
01
00
01
10
00
10
01
00
10
11
01
00
00
11
10
00
01
00
01
11
01
11
11
10
11
00
01
10
11
00
01
00
00
00
10
11
10
11
01
00
10
10
10
01
00
00
10
10
10
00
00
10
10
00
10
10
00
10
00
00
10
11
00
00
11
10
10
00
00
11
01
01
10
10
01
10
10
00
00
00
00
10
11
01
10
00
10
10
00
01
00
10
10
01
10
10
01
10
11
01
00
11
00
00
10
01
10
11
00
10
01
10
00
00
01
00
00
10
00
01
10
11
01
00
00
00
01
00
11
00
11
11
10
10
00
11
11
00
01
10
11
00
10
01
10
00
00
01
10
10
10
01
10
10
00
10
10
10
00
10
11
11
10
00
11
00
00
01
10
10
00
10
10
10
10
00
01
00
11
11
00
10
01
00
11
11
00
01
10
10
00
10
11
01
10
10
11
00
10
10
00
01
00
11
10
10
11
10
10
01
10
11
11
01
10
10
01
01
10
11
10
00
00
10
00
11
11
00
10
01
00
11
10
10
00
00
10
01
10
11
11
10
10
01
11
00
10
11
11
01
00
00
10
10
10
10
01
01
01
00
11
00
10
11
00
00
10
10
00
00
11
11
10
11
00
11
11
11
01
01
00
10
10
00
11
00
01
10
10
00
00
11
01
01
11
00
00
10
10
01
01
10
11
00
10
10
10
10
10
01
01
00
11
00
00
00
10
01
01
00
10
11
11
10
10
11
00
00
10
10
10
10
00
00
00
00
01
00
10
10
10
10
11
00
00
00
10
00
10
10
00
10
11
11
10
00
00
10
10
10
01
10
11
01
01
10
10
01
11
11
11
01
00
11
00
00
10
10
00
00
00
00
10
10
01
00
00
00
10
11
00
10
00
10
00
01
10
00
00
11
00
11
11
01
11
10
00
01
10
10
00
01
00
10
00
00
11
10
10
10
00
00
11
11
10
00
10
00
11
00
00
10
10
10
11
01
00
10
10
00
10
10
11
10
01
00
01
00
10
10
00
10
11
00
01
01
01
01
11
00
00
10
11
10
11
10
00
00
10
01
10
00
00
10
00
00
00
00
11
00
11
00
00
00
10
10
11
10
00
10
11
00
00
10
00
00
01
00
11
00
00
00
00
01
00
11
11
11
01
11
11
00
10
10
00
00
11
10
10
00
10
10
01
01
00
00
11
10
00
10
10
10
00
00
10
11
01
00
10
00
00
10
00
10
01
10
01
11
00
00
10
10
00
01
11
00
10
00
10
10
10
00
10
00
10
11
00
00
10
00
10
01
11
10
11
10
00
01
00
11
10
10
00
00
11
10
01
11
11
00
10
10
10
10
01
10
10
00
01
00
00
00
00
10
00
11
11
01
01
11
01
10
10
01
00
10
01
10
10
11
00
00
00
01
00
10
10
00
00
11
10
10
11
10
10
10
10
10
11
11
11
01
00
10
01
10
10
01
00
01
10
11
01
00
10
10
01
01
10
01
00
00
01
11
10
10
10
01
10
00
00
10
00
10
00
10
01
11
11
00
01
00
10
00
11
11
01
00
11
11
00
10
00
01
11
00
00
10
10
00
00
00
10
00
00
11
10
01
00
01
00
11
01
10
11
00
11
00
00
10
00
00
11
11
00
10
00
00
00
10
00
01
10
10
11
00
00
00
11
00
00
11
00
10
00
10
10
10
10
00
01
00
11
11
01
00
00
11
10
11
10
10
00
10
01
01
01
11
01
10
00
10
10
11
01
01
10
00
00
01
10
10
00
10
11
11
01
00
10
10
10
11
00
10
00
00
01
00
01
10
00
10
10
10
10
10
01
11
10
10
01
00
11
10
00
00
10
10
11
01
00
01
11
10
11
00
11
10
00
10
00
00
01
00
10
10
10
10
01
01
00
00
00
00
11
00
10
11
00
10
00
10
00
00
01
00
10
10
11
01
01
01
10
01
10
10
10
00
00
10
01
01
00
10
10
00
00
10
10
11
00
00
10
00
10
00
00
11
00
00
00
00
01
10
11
00
00
11
01
01
10
00
00
10
01
11
10
00
00
11
11
10
00
11
11
11
00
00
01
10
10
00
00
11
00
10
00
01
11
10
00
10
10
00
00
01
01
11
00
11
01
11
01
10
00
01
00
11
11
01
10
11
00
00
00
01
10
10
00
10
00
01
10
10
10
10
10
10
10
10
10
00
11
00
11
00
10
10
10
00
01
00
10
11
10
00
10
10
10
01
01
01
10
00
01
00
11
00
10
10
00
11
10
11
00
01
10
11
10
01
10
10
00
01
10
00
00
10
11
11
01
10
10
00
10
00
10
10
01
00
00
01
01
11
00
11
11
10
10
00
01
10
10
01
11
01
10
11
01
11
10
10
10
00
10
00
00
11
10
01
00
00
11
10
01
11
10
01
01
10
00
00
10
10
00
00
00
01
10
10
11
01
11
11
11
01
00
10
10
10
00
00
11
00
00
11
10
10
00
01
01
01
00
10
11
00
00
00
00
11
10
01
10
10
10
10
11
00
00
11
01
00
01
00
11
00
00
11
00
01
10
00
01
00
10
01
00
10
10
01
00
00
11
10
10
00
10
00
00
11
10
00
01
00
00
01
10
11
10
00
10
10
10
00
11
00
00
10
10
10
10
01
00
10
11
10
00
10
10
01
10
10
01
10
10
11
01
01
01
11
10
01
01
11
01
11
10
00
00
10
01
01
11
11
00
01
10
11
11
01
10
10
10
00
11
10
00
00
01
00
10
00
00
11
11
00
01
10
01
10
01
00
01
10
10
10
00
10
10
10
10
10
00
00
00
10
10
00
01
01
00
00
01
10
01
00
10
10
01
00
00
00
11
10
10
10
00
00
11
10
00
11
00
10
10
10
11
10
10
00
00
10
10
00
00
00
11
00
10
10
00
10
01
11
01
00
11
10
10
10
00
01
10
10
00
10
01
00
10
10
11
10
00
11
10
10
10
01
00
10
10
01
01
01
10
11
00
01
10
00
10
10
00
00
10
10
10
10
11
01
01
10
00
01
11
00
10
10
00
10
11
10
00
10
00
01
10
01
01
00
01
01
11
01
10
10
01
10
11
11
00
10
00
10
10
00
00
11
00
00
11
01
10
00
00
11
10
10
00
00
01
00
10
10
01
00
11
01
00
01
10
10
00
10
10
10
01
00
00
10
00
00
00
10
11
00
00
00
00
01
10
11
10
10
10
11
10
10
00
00
00
01
11
10
01
01
01
10
10
11
10
10
00
00
00
01
00
11
00
01
10
01
10
10
10
01
10
10
01
10
01
10
10
00
00
11
10
10
00
00
10
00
10
00
00
10
00
01
00
00
11
10
01
01
00
11
10
00
10
00
00
00
11
00
11
00
10
00
11
11
10
01
00
00
00
00
10
10
11
00
10
10
00
11
00
00
10
00
10
10
10
01
10
10
01
01
10
00
00
00
11
10
00
01
11
10
00
00
11
10
00
00
10
10
00
11
11
10
00
01
00
11
10
11
01
11
00
00
10
00
00
00
11
00
01
00
00
10
10
01
01
10
00
01
10
00
11
00
10
10
11
10
00
10
00
00
10
00
00
00
00
11
00
00
10
00
00
10
00
00
00
10
10
00
10
10
00
01
10
00
00
00
00
00
00
10
10
10
00
00
11
10
10
00
10
01
01
10
01
00
10
00
11
00
10
01
10
01
10
10
00
10
10
01
00
10
10
00
00
10
10
10
00
01
00
00
01
00
10
00
10
11
10
00
11
00
01
00
11
11
10
10
11
10
01
10
01
11
01
10
01
00
10
10
10
00
01
01
11
11
11
01
00
11
00
00
10
00
01
00
10
11
10
10
00
10
11
00
01
01
10
00
10
01
10
11
01
01
10
00
00
10
10
10
10
00
10
00
10
00
11
11
01
01
11
11
10
01
10
10
00
00
11
10
11
01
01
11
01
00
10
10
10
01
01
11
10
00
00
00
10
11
10
00
01
10
00
11
10
00
01
10
00
01
10
00
10
00
10
10
00
10
01
11
11
00
01
10
10
11
00
01
00
01
11
11
10
11
10
00
01
11
10
01
10
10
00
10
11
11
10
01
01
00
10
10
01
10
11
10
00
01
10
10
11
11
00
10
00
10
11
11
01
10
11
10
10
00
01
10
11
01
01
00
10
00
00
10
00
00
10
01
00
00
00
01
10
10
00
10
10
11
00
11
10
00
01
11
11
00
10
10
10
10
01
10
00
00
11
10
00
11
10
11
00
00
11
00
00
00
10
10
11
01
00
01
10
11
01
00
00
10
00
00
11
10
11
00
00
10
01
01
11
00
01
00
10
00
10
10
00
01
11
00
00
00
10
01
00
10
10
01
10
01
01
11
10
01
11
11
00
11
00
00
00
10
10
01
01
10
00
01
01
11
10
00
10
11
10
10
01
01
10
01
01
11
00
01
01
10
00
01
10
10
00
00
10
01
11
01
11
01
00
10
11
00
11
10
00
00
11
11
01
00
10
00
01
01
00
10
11
10
10
00
00
10
01
00
00
10
10
01
00
01
10
10
10
10
10
00
11
10
10
10
00
10
00
10
10
01
00
11
10
00
00
10
00
00
00
10
11
10
11
00
01
00
00
11
10
11
00
01
10
10
01
10
10
00
01
00
10
10
11
01
00
10
01
01
01
01
10
11
10
00
00
11
11
10
00
01
10
10
00
10
00
10
10
00
10
00
11
10
00
00
10
11
11
10
10
11
00
00
10
11
01
01
10
10
01
00
00
00
00
11
10
01
11
10
01
00
10
00
10
10
00
10
00
00
11
10
11
10
11
01
00
10
11
10
00
00
10
10
11
11
01
00
00
00
10
00
10
00
00
01
11
00
01
00
11
10
11
00
00
00
00
00
00
00
10
10
10
11
00
00
00
10
01
10
10
00
11
11
01
10
10
11
10
11
00
11
10
10
01
10
00
01
10
00
10
00
00
00
01
10
00
11
00
11
11
10
11
10
00
11
11
01
00
10
11
01
00
10
00
10
11
10
10
00
01
10
10
11
00
00
10
00
00
10
11
00
10
10
00
10
01
00
01
10
11
11
11
10
11
10
01
00
11
10
01
11
11
00
01
10
10
01
10
00
00
00
01
10
10
01
00
10
10
00
10
00
00
00
11
00
00
11
10
11
00
00
11
11
01
00
00
00
00
00
00
11
10
11
00
00
10
10
10
00
10
00
10
10
11
11
01
10
00
00
11
10
11
01
00
01
00
10
10
01
10
01
01
10
10
00
10
01
11
10
01
01
11
10
00
00
10
10
00
11
11
01
10
00
00
10
11
01
00
11
00
00
10
00
00
10
10
00
10
10
10
10
10
00
10
00
10
10
10
00
01
10
00
00
11
10
00
10
10
11
01
01
10
00
11
00
10
01
00
10
11
00
01
10
10
10
10
00
00
11
10
11
00
01
10
11
01
01
10
11
00
10
00
01
10
00
01
10
11
11
01
01
00
01
00
11
00
10
11
00
00
10
01
10
10
01
10
10
10
10
00
10
00
00
11
10
11
10
00
11
11
01
01
10
01
00
00
00
00
10
10
11
11
01
01
00
10
00
01
10
10
01
00
10
11
10
00
10
10
00
00
00
11
10
01
00
10
10
10
00
10
11
00
00
00
01
00
00
11
01
00
01
00
10
11
10
10
00
00
11
00
01
10
00
11
00
00
00
10
10
00
11
10
10
10
00
11
10
11
00
10
00
10
00
01
11
11
00
10
10
10
00
00
10
10
00
00
00
00
11
10
00
00
11
01
00
00
00
00
00
10
00
00
01
00
10
10
10
10
10
11
00
10
10
10
11
10
01
00
00
10
11
00
00
00
00
11
01
10
10
00
10
01
11
11
01
00
00
00
10
10
00
01
10
11
00
01
10
00
11
00
01
10
10
00
00
10
01
11
10
11
00
01
10
11
00
10
11
00
01
11
10
01
00
10
01
01
01
10
00
00
10
00
00
00
11
00
00
01
10
01
00
10
00
11
00
00
00
10
10
10
11
10
00
11
11
10
11
10
00
01
10
11
00
10
11
00
00
10
10
00
01
10
10
10
10
11
10
00
11
00
11
11
00
10
10
01
00
01
00
10
11
00
10
10
00
00
01
00
00
10
10
10
11
00
01
00
01
01
00
11
11
10
00
11
00
10
10
00
10
00
00
00
00
10
10
11
11
11
01
00
10
01
00
10
10
00
10
11
00
00
10
10
01
01
01
10
10
00
00
11
01
00
11
11
01
00
10
00
10
10
01
10
00
10
01
01
10
00
01
11
00
10
00
10
10
00
11
10
01
10
10
11
11
01
10
00
00
00
10
10
00
01
10
10
10
10
00
11
01
10
01
10
00
11
10
00
10
10
10
11
10
00
00
11
11
10
00
01
00
00
10
10
00
11
10
00
00
00
10
00
10
01
11
11
01
11
10
00
00
10
00
00
11
00
11
10
10
00
00
10
10
10
11
10
00
10
00
11
10
11
01
00
10
11
11
11
00
00
00
10
10
10
00
00
10
10
11
11
00
00
11
00
01
11
01
11
11
00
10
11
00
00
11
11
00
00
00
01
10
01
11
10
01
00
00
11
10
01
10
01
00
11
00
10
10
01
10
11
10
10
01
01
00
11
00
00
00
10
10
00
01
11
11
00
00
00
00
10
01
00
10
00
00
11
01
00
11
01
00
10
11
10
01
10
11
01
11
00
10
00
11
01
00
10
10
11
01
10
01
00
10
10
10
00
11
11
01
11
11
01
11
11
00
11
11
01
10
10
00
00
00
11
01
00
00
10
10
01
11
10
00
10
10
10
10
00
10
00
11
10
00
01
11
00
10
11
00
10
10
11
10
00
10
10
01
00
10
00
00
01
00
10
11
01
01
00
00
11
10
10
10
10
00
10
11
00
00
00
10
01
10
00
01
10
11
10
00
00
01
10
01
00
10
10
11
01
01
11
11
10
01
00
11
00
01
11
10
10
00
00
00
10
10
00
00
10
10
00
00
00
10
00
00
11
10
01
00
00
10
10
10
00
10
00
00
11
10
01
00
00
01
10
00
01
00
11
00
11
10
10
00
01
01
11
10
00
10
10
10
10
00
00
10
10
10
00
10
10
01
10
10
11
00
11
00
01
00
10
11
00
00
10
10
01
00
10
11
10
00
10
10
00
00
10
00
11
10
10
11
10
10
11
00
00
10
00
01
00
10
10
01
10
11
10
00
10
10
00
10
10
00
00
10
00
10
00
10
10
00
00
10
10
00
10
11
10
00
11
01
00
00
10
10
00
00
11
10
10
00
10
10
01
00
11
10
00
01
10
10
10
11
00
01
11
00
01
10
11
10
10
00
00
11
00
01
11
00
11
11
11
11
11
00
10
10
00
01
10
11
00
00
00
00
01
10
11
10
10
10
00
10
00
10
10
10
10
00
00
11
00
00
10
11
11
00
11
10
11
10
01
00
00
11
11
10
00
10
11
00
11
10
00
01
10
11
10
10
10
00
01
11
00
01
10
00
11
11
00
00
00
11
01
10
10
00
10
10
10
00
00
00
10
11
00
10
00
00
00
00
00
10
00
00
10
01
00
00
01
01
00
10
00
11
01
00
00
00
00
11
11
00
10
10
00
00
00
10
00
10
11
10
11
11
10
00
00
00
00
00
10
10
10
11
11
00
10
00
00
00
00
01
11
11
10
00
00
00
10
11
00
00
01
10
00
11
01
00
11
10
00
00
00
10
01
10
11
00
11
10
00
10
11
10
01
11
10
00
00
01
10
00
00
10
11
11
11
10
00
00
10
00
00
11
10
10
10
10
00
00
01
00
11
11
10
00
00
01
10
00
10
11
10
11
11
00
00
10
00
01
00
10
10
01
00
10
00
01
10
11
10
10
10
00
11
10
01
01
00
01
00
00
00
01
10
10
11
00
10
10
01
00
10
10
10
00
11
11
00
00
00
00
00
11
10
00
11
10
00
10
01
11
01
10
10
00
00
01
10
10
01
00
10
00
11
11
01
11
00
00
10
00
01
00
10
11
01
00
10
01
10
10
00
00
10
11
10
01
10
10
00
00
00
11
00
00
10
10
11
01
00
11
01
00
10
00
00
00
11
10
10
00
00
00
10
00
01
10
11
10
10
00
01
10
00
01
11
00
00
10
00
11
10
00
11
11
10
11
00
10
10
10
10
01
00
00
10
10
10
00
10
00
00
10
10
01
10
01
10
10
00
01
11
10
10
00
01
01
10
10
10
10
01
11
00
01
10
00
10
10
01
01
10
11
00
01
01
00
10
10
10
00
01
00
11
00
00
11
10
10
00
00
10
10
00
11
00
10
01
01
10
01
00
10
00
10
11
00
11
10
01
00
00
10
11
10
00
10
10
00
01
00
11
01
11
00
11
00
10
11
00
00
10
11
00
01
10
11
00
00
00
00
00
11
00
00
10
00
00
10
10
10
01
10
10
00
10
01
00
00
10
11
11
10
00
01
00
00
00
11
01
10
11
00
00
00
10
10
00
00
10
10
10
11
00
00
00
11
01
10
01
01
11
01
10
10
00
10
10
00
00
11
10
00
01
00
11
10
01
01
10
00
11
00
11
00
00
10
01
00
10
00
00
00
01
11
10
11
11
10
11
00
00
00
10
10
00
10
11
00
00
00
10
01
01
01
11
00
10
00
10
10
01
10
10
11
10
00
10
10
00
10
00
00
00
11
10
11
10
01
11
00
00
01
00
00
10
10
00
10
00
10
10
10
10
01
00
11
11
11
01
01
10
10
01
00
00
00
00
01
10
10
00
01
11
11
10
10
01
01
10
11
00
00
10
10
00
00
00
10
10
01
00
01
11
10
11
01
10
10
00
00
00
01
10
00
10
01
10
11
10
00
10
00
11
11
10
00
11
11
00
11
10
10
11
00
00
10
00
00
10
11
00
00
11
10
10
01
10
11
00
01
10
10
11
10
00
00
11
00
00
10
00
10
10
00
10
10
10
11
00
01
01
00
01
10
11
01
10
10
10
00
01
11
11
10
00
10
10
01
00
01
10
01
01
10
10
10
10
00
10
01
00
11
00
00
10
11
10
00
00
10
00
00
01
00
10
01
00
00
11
00
00
10
10
01
10
11
10
11
00
01
11
00
00
11
00
01
00
10
00
10
10
10
10
00
10
10
11
00
01
10
01
11
00
11
10
10
00
10
01
00
01
10
10
01
10
01
10
10
01
11
10
00
10
01
00
11
00
10
10
00
10
11
10
01
10
01
00
00
10
11
00
00
10
10
10
10
10
01
00
10
01
00
10
10
11
11
11
10
00
00
10
01
00
00
10
00
11
00
00
10
11
01
10
11
00
01
11
01
11
10
00
00
00
10
01
01
11
11
10
10
00
01
01
10
11
00
01
11
10
00
00
10
00
00
11
01
00
00
00
00
00
10
00
10
01
00
01
11
11
00
10
00
10
01
00
10
11
11
00
01
00
11
00
10
10
00
00
01
01
10
00
10
11
10
00
00
01
00
11
11
11
10
11
10
00
10
11
11
01
00
10
11
10
00
00
00
00
11
10
11
10
00
01
10
11
10
00
10
01
01
10
00
11
10
00
10
01
01
00
00
11
10
01
00
10
00
00
10
11
10
01
00
00
00
11
01
10
11
11
00
01
11
10
00
11
10
00
11
00
10
10
00
11
10
00
00
10
10
10
00
00
10
10
11
11
11
00
01
01
10
00
10
10
00
00
00
00
00
11
11
01
10
10
10
00
10
00
11
01
01
10
10
11
11
10
00
10
10
01
00
00
11
11
00
10
01
00
00
11
10
10
10
00
00
10
10
00
11
01
11
10
10
10
01
10
11
00
01
10
10
00
00
00
11
10
10
00
00
10
00
10
10
10
01
01
00
10
10
11
10
00
11
00
00
11
00
01
00
00
10
00
00
10
11
00
11
11
00
01
00
11
00
00
10
10
01
00
10
11
00
01
01
01
00
00
10
01
11
10
01
01
11
10
11
00
10
11
01
00
10
10
01
10
00
10
01
01
10
10
10
10
10
10
00
00
10
10
10
11
10
01
10
10
10
01
00
10
10
00
01
01
00
10
10
00
00
10
00
00
10
10
10
00
10
00
01
11
00
00
11
01
01
11
11
10
00
11
00
00
10
00
10
00
00
00
01
01
10
11
10
00
01
11
01
11
11
10
10
01
00
00
00
11
10
11
10
00
01
11
10
10
00
01
00
00
10
00
00
10
00
00
00
10
10
00
10
11
10
00
00
00
10
10
10
11
11
10
10
11
00
00
01
10
11
00
00
10
11
10
11
00
00
11
11
00
01
01
11
00
10
10
01
00
00
00
11
10
10
01
01
01
10
01
00
00
11
01
10
10
00
00
11
10
10
00
10
10
11
00
01
00
11
00
10
11
00
00
10
10
10
00
00
11
11
10
00
00
10
00
10
10
11
00
11
11
10
11
00
11
00
10
00
10
00
01
00
10
10
01
01
10
10
01
01
11
10
11
00
00
11
11
10
11
01
01
01
00
11
00
10
00
11
10
01
01
11
00
11
00
00
10
01
10
11
00
10
00
00
00
10
01
01
00
10
11
01
00
01
10
10
00
00
01
10
00
00
10
11
01
00
11
11
10
10
11
01
00
11
10
11
00
11
10
10
00
00
01
11
11
00
00
10
00
10
00
00
10
01
11
01
00
11
00
10
00
10
01
00
11
11
01
11
11
10
00
00
10
10
01
01
10
10
10
00
00
10
01
10
10
00
10
00
10
00
01
11
00
01
10
00
00
11
11
10
01
10
00
01
10
01
10
00
00
00
10
01
00
10
10
01
01
10
00
01
00
11
10
11
01
11
10
00
00
10
00
01
01
11
11
00
11
01
11
00
00
10
10
00
01
10
10
00
01
01
00
10
00
01
11
01
00
00
10
10
01
00
10
11
01
00
11
10
11
00
00
00
11
11
00
10
10
10
01
00
00
01
10
10
01
00
10
00
01
10
00
00
10
10
10
01
00
11
10
11
10
01
00
11
10
10
00
01
00
00
00
10
01
00
00
10
10
01
10
01
00
10
10
00
00
10
10
00
10
00
10
00
10
10
11
10
01
10
10
10
11
10
00
01
00
00
00
10
10
00
00
10
01
01
00
10
00
10
00
11
10
01
00
00
00
10
11
01
11
10
11
01
01
00
10
01
00
10
10
11
01
10
11
11
11
01
00
01
00
10
01
10
10
00
11
00
11
10
00
10
10
00
00
10
10
11
00
00
00
00
01
00
10
11
10
00
00
11
10
10
01
01
01
10
00
10
10
01
01
10
10
00
11
01
10
10
10
10
11
00
00
10
11
00
00
00
10
01
01
00
00
10
10
10
10
01
00
11
10
01
01
00
00
01
11
11
00
10
10
00
00
00
01
10
00
00
10
00
00
10
11
01
11
00
01
00
11
01
01
10
11
00
00
00
10
01
10
10
00
00
00
10
10
00
01
10
11
10
00
00
00
10
10
11
01
01
10
01
11
01
01
00
10
11
10
00
11
10
10
01
10
10
00
00
00
11
10
00
10
00
10
10
00
00
10
00
00
11
10
00
10
00
11
00
01
00
11
00
10
00
11
01
11
11
01
10
10
01
00
01
00
11
01
00
10
10
11
00
10
00
01
11
10
00
11
01
00
10
00
01
00
00
10
10
00
01
10
10
00
00
00
00
10
10
00
00
00
00
01
00
11
01
00
11
00
11
10
11
00
00
10
01
11
11
01
00
10
00
10
10
10
01
01
01
11
00
11
00
01
01
00
10
10
01
01
10
10
10
01
01
11
11
10
10
00
11
10
00
00
10
10
00
00
00
00
11
11
10
10
00
10
00
10
11
00
10
00
10
10
00
01
11
11
00
10
00
11
10
00
01
10
11
01
00
00
00
10
10
01
00
10
01
00
00
10
10
10
11
00
01
00
11
10
11
10
01
10
10
10
01
00
11
00
00
10
10
10
10
00
00
00
11
01
00
01
10
10
10
10
00
01
10
10
10
10
10
10
00
10
10
10
00
01
00
00
10
11
10
01
01
01
00
11
11
01
11
10
10
01
00
11
01
00
10
10
00
10
01
10
11
00
10
01
11
10
00
00
10
10
01
01
10
10
00
10
11
11
00
00
10
01
00
10
10
01
01
01
10
10
10
00
10
01
00
10
01
10
01
10
00
00
10
10
11
11
01
00
01
00
01
10
00
10
00
00
11
11
11
00
00
10
00
01
10
00
01
00
10
01
01
10
00
00
10
10
00
00
01
00
10
00
10
01
00
10
00
10
00
10
10
01
00
01
00
10
00
00
10
10
11
10
01
11
10
01
00
00
11
10
00
00
00
00
00
10
11
10
01
00
00
10
10
00
00
10
11
10
11
00
00
10
01
10
00
00
10
10
11
01
00
01
10
11
10
00
11
10
00
10
00
01
01
11
01
00
11
10
00
10
00
01
10
10
11
10
00
00
10
01
00
11
11
00
00
11
00
10
11
01
00
00
10
10
00
00
01
10
10
01
00
10
01
01
11
10
11
10
00
10
10
00
01
00
10
00
00
10
00
10
11
00
01
10
01
01
11
01
00
00
11
10
00
01
10
10
10
00
11
01
01
11
00
00
10
10
00
10
10
00
00
11
00
01
01
00
00
01
10
10
10
01
00
11
11
10
00
01
01
01
10
11
10
00
00
11
11
00
11
10
10
10
10
11
10
00
00
11
10
10
01
00
00
11
10
01
00
10
00
10
11
10
11
01
01
10
10
00
10
00
01
10
10
00
11
00
10
10
00
00
00
10
11
00
10
10
00
10
11
10
00
11
11
00
00
00
10
00
00
10
01
10
00
10
10
11
00
00
10
10
00
00
00
01
10
10
00
10
10
00
00
10
00
01
10
10
01
01
01
11
00
01
01
11
10
10
00
00
01
11
10
00
10
10
10
00
00
00
00
10
10
01
11
10
00
00
10
10
01
00
11
01
10
00
00
10
00
11
10
11
00
00
01
11
10
01
00
10
01
00
10
10
00
01
01
10
10
00
00
00
10
10
00
00
10
10
00
00
10
10
11
01
10
00
00
11
10
10
10
01
10
00
10
00
01
10
10
10
11
00
01
00
10
00
01
11
00
00
10
00
11
11
10
10
10
10
01
00
01
00
10
11
11
00
11
11
00
00
01
11
00
10
11
10
00
01
10
00
11
11
10
01
10
11
00
01
01
00
10
10
00
00
10
10
10
01
00
00
00
10
00
10
00
00
10
11
10
11
10
10
00
11
00
10
00
01
10
10
10
10
00
00
00
00
10
10
11
11
10
10
00
10
11
10
00
00
10
10
00
00
11
11
00
11
10
00
10
01
11
01
01
11
10
00
00
10
10
00
01
10
10
01
10
11
00
11
10
11
00
01
00
11
10
10
00
01
00
00
00
10
10
11
10
11
01
11
01
11
01
00
10
00
10
11
00
00
10
11
01
11
11
11
00
01
00
11
11
00
11
11
11
01
00
10
00
10
00
10
10
00
00
01
00
11
10
10
00
10
10
10
00
00
10
11
10
10
10
11
10
01
00
01
00
00
10
10
01
10
00
00
10
10
00
01
00
10
01
00
11
10
01
01
00
01
00
10
11
10
01
01
10
11
01
01
01
00
10
00
11
01
10
10
00
00
00
00
00
11
10
11
10
10
00
01
01
00
01
10
01
00
00
11
10
10
00
01
10
11
10
01
10
11
11
00
11
10
11
10
01
01
00
01
00
10
00
01
10
10
01
00
00
01
10
10
10
00
00
10
11
11
01
00
10
10
01
11
10
01
10
10
01
00
00
01
01
00
11
10
11
10
10
00
00
10
00
01
10
11
01
00
10
00
10
00
11
10
01
10
11
00
01
10
11
00
01
00
11
10
11
10
00
10
10
11
00
00
11
10
00
00
10
00
10
10
11
00
11
10
01
10
00
01
01
10
11
10
00
00
00
00
10
01
00
11
10
00
00
10
01
00
00
10
00
10
00
00
00
11
10
01
00
01
10
01
00
01
00
10
00
00
01
11
10
00
10
00
10
00
10
11
00
10
10
01
00
00
01
11
00
11
00
01
10
10
10
00
00
00
00
10
00
10
00
00
01
10
01
00
01
10
10
01
10
01
10
10
01
00
10
01
01
10
10
00
01
10
00
00
10
11
10
00
00
10
11
10
00
11
10
00
10
10
10
10
10
01
00
00
00
11
10
01
11
00
01
10
10
10
11
10
01
00
10
10
01
00
10
00
01
01
11
10
10
01
00
00
11
10
00
10
00
11
10
10
10
11
01
00
00
01
10
10
00
00
10
11
10
00
00
10
10
10
10
00
10
10
00
00
11
10
00
00
00
10
00
01
10
01
10
01
01
10
10
00
10
10
10
00
00
10
10
10
10
11
01
10
11
00
11
10
00
00
00
01
11
10
11
00
00
10
11
11
11
00
00
01
10
10
10
01
00
00
10
11
00
11
01
00
01
11
00
11
00
11
10
00
00
01
10
11
11
10
10
10
00
10
10
00
00
00
10
00
00
00
11
00
10
10
00
11
00
11
00
10
10
01
11
00
10
11
00
00
01
11
10
11
00
11
01
01
00
10
10
00
11
11
10
01
01
10
00
10
10
00
00
10
00
01
10
10
00
01
01
10
10
01
11
01
11
10
10
00
01
10
00
00
00
10
10
10
10
10
00
01
01
00
00
00
00
00
10
10
01
11
00
01
10
00
00
10
11
00
10
11
00
10
01
10
11
00
00
00
00
11
10
00
01
10
01
10
00
10
10
10
00
00
11
11
10
10
00
11
11
10
11
11
00
10
00
01
11
10
00
00
10
00
11
00
01
11
11
11
11
00
11
10
01
00
10
00
01
11
11
00
00
00
11
11
00
10
10
01
00
01
11
11
00
11
00
01
10
11
01
00
00
10
11
01
11
11
00
00
11
00
10
11
10
00
01
00
00
10
00
11
10
00
00
00
00
10
00
00
10
00
10
00
00
00
00
10
01
10
10
01
00
10
11
00
11
11
01
00
00
10
11
10
01
00
10
01
11
01
00
10
10
10
00
00
00
10
11
01
00
10
01
10
00
10
00
10
10
01
11
01
00
00
10
11
00
10
10
00
01
01
11
10
10
10
00
01
00
10
00
00
01
00
01
01
10
11
00
00
11
00
00
11
11
10
01
01
10
11
00
00
01
10
10
10
10
00
01
00
11
11
00
10
11
10
11
00
00
00
10
11
00
01
10
10
11
11
00
11
10
00
11
01
00
10
10
00
11
10
10
10
10
00
00
00
11
00
00
00
10
11
00
00
10
10
10
00
00
10
00
10
10
01
01
10
01
01
10
11
00
10
10
10
00
00
00
10
00
00
00
01
10
01
00
00
00
11
00
10
01
01
00
11
10
10
00
10
10
10
01
00
11
00
00
11
01
11
10
10
00
11
01
00
10
00
00
11
01
10
10
00
00
01
01
00
10
00
10
10
10
01
01
10
00
11
10
00
11
00
00
01
01
00
01
00
11
11
10
11
10
01
10
10
00
10
00
11
11
00
00
00
10
00
01
10
11
00
00
00
10
00
10
10
01
11
11
11
00
00
01
10
01
00
01
11
00
00
10
11
10
01
00
10
00
00
00
10
00
00
10
10
11
11
10
00
11
00
01
11
00
10
10
10
00
10
10
00
11
11
01
10
00
10
11
00
10
10
00
11
00
10
10
00
10
10
00
01
01
10
11
11
10
00
00
01
10
00
01
01
10
10
00
00
10
10
10
00
10
11
10
10
10
01
00
10
00
00
10
00
00
10
10
11
11
01
01
01
01
01
01
00
11
11
10
01
00
10
11
10
00
01
00
10
10
00
10
11
01
00
00
10
00
10
10
00
10
00
01
11
11
11
01
00
00
11
01
00
00
10
10
00
10
00
00
10
11
00
11
11
10
00
00
10
01
11
11
11
10
00
01
00
00
01
11
10
00
01
01
10
10
01
11
11
11
01
10
11
00
00
10
10
00
11
11
00
00
10
11
01
10
11
11
10
00
10
01
00
00
10
01
00
01
00
10
11
00
10
10
10
10
01
11
10
10
00
10
01
11
10
01
00
10
01
00
00
10
11
00
11
10
01
11
10
10
00
01
11
11
00
10
10
00
00
01
10
10
01
10
00
10
00
00
11
11
00
01
10
10
01
11
10
00
10
11
01
11
00
01
10
10
00
01
11
10
10
10
10
11
11
00
01
11
00
01
11
11
11
10
00
11
00
00
00
10
11
10
00
10
10
00
00
00
00
10
01
00
10
10
01
10
00
10
10
00
10
00
00
10
01
11
10
00
11
10
01
10
10
00
10
10
01
11
11
00
00
01
01
00
10
01
00
10
11
10
11
01
11
10
01
01
10
10
00
10
00
10
10
00
00
00
00
00
10
00
10
10
00
10
10
01
10
11
01
00
10
10
10
00
00
00
10
01
00
10
10
10
10
01
00
11
00
10
11
10
10
11
00
00
10
01
00
00
00
10
11
10
01
01
01
01
01
10
10
01
00
10
10
00
00
00
10
11
01
00
10
00
00
10
00
11
10
00
00
11
00
11
00
00
01
10
11
10
01
01
10
10
01
00
11
00
01
10
00
11
10
10
10
11
00
10
10
01
11
01
10
11
00
10
00
11
10
01
01
11
01
00
00
00
10
10
10
00
00
10
11
00
00
01
10
10
00
11
10
10
00
10
00
00
10
00
00
10
01
10
10
01
00
10
10
00
10
11
00
00
00
10
01
01
00
11
10
10
00
01
10
11
10
00
11
10
11
00
10
00
01
01
00
01
11
10
10
00
00
10
10
01
11
10
00
00
00
11
01
11
10
00
10
01
00
11
00
00
10
01
10
10
00
01
10
11
00
00
10
01
10
00
00
10
01
11
01
00
11
10
01
00
10
00
00
01
10
01
11
01
11
11
11
10
11
10
10
01
01
10
10
10
11
00
00
10
00
11
10
00
00
01
00
10
01
10
10
00
11
10
00
00
00
00
10
10
01
00
10
10
00
00
11
10
01
01
00
10
01
00
00
10
11
10
10
11
00
11
10
10
01
00
11
01
10
10
01
01
01
00
11
10
00
10
00
11
11
00
00
11
00
01
10
10
00
00
10
00
00
01
01
11
10
01
00
11
11
00
01
10
01
10
11
01
00
10
10
00
00
11
10
00
00
10
10
00
10
00
01
10
00
10
10
00
01
01
10
01
00
10
00
01
00
10
00
01
01
01
11
11
01
01
10
10
10
01
00
10
10
00
00
01
10
11
00
10
10
00
00
10
01
00
10
10
01
01
01
11
11
00
00
00
10
10
00
00
10
00
00
00
01
00
10
10
10
01
10
01
00
10
10
10
00
00
11
00
00
00
10
11
00
01
10
11
00
00
10
00
01
10
10
00
10
11
01
01
00
10
01
01
10
01
00
01
11
01
10
11
01
00
00
10
11
00
10
11
00
01
01
10
10
10
00
10
01
00
11
10
00
01
11
01
11
01
01
00
00
11
10
10
10
01
00
11
10
10
11
00
10
10
01
00
11
10
11
00
00
00
00
00
11
01
00
10
00
10
01
10
10
00
00
01
00
10
11
10
01
00
11
10
00
00
01
10
00
10
10
00
01
11
00
00
10
10
11
00
10
10
10
01
00
10
10
00
00
11
11
00
01
11
10
11
00
10
00
01
10
01
00
10
01
00
00
10
10
00
10
11
00
10
10
00
10
10
11
00
10
10
11
01
10
10
01
10
10
00
10
01
01
10
11
00
10
00
10
00
11
00
00
10
00
00
01
01
11
00
10
01
01
10
01
10
00
10
01
11
10
00
10
00
11
10
00
10
01
01
11
10
01
10
10
10
10
01
01
00
10
00
00
10
00
00
11
10
00
10
00
01
10
01
00
10
11
01
10
11
11
00
11
00
01
10
00
00
00
00
00
00
11
11
10
11
00
10
00
10
01
01
10
10
11
00
01
01
10
11
01
01
10
00
01
10
10
00
00
10
00
00
11
01
10
01
00
10
00
00
11
11
10
10
10
10
00
10
01
01
00
10
00
00
11
00
01
10
11
01
00
10
11
00
01
10
10
00
00
10
11
11
00
10
11
10
10
00
10
11
10
00
11
00
00
11
10
00
10
00
01
10
00
01
10
00
00
11
10
10
01
01
10
00
10
10
00
00
00
00
10
10
00
00
10
11
00
10
00
11
10
00
11
00
01
01
00
10
10
00
00
10
00
00
11
10
01
00
00
11
01
10
00
11
01
11
11
10
10
01
01
11
00
00
00
10
00
10
11
00
00
00
00
10
10
00
10
10
11
01
10
00
11
00
11
00
01
11
11
10
10
01
01
11
00
10
10
00
01
10
10
01
11
01
01
00
10
00
11
01
01
10
11
00
00
00
00
11
10
10
01
11
00
10
01
00
11
01
10
01
00
11
10
00
10
11
00
10
10
00
10
00
00
10
01
11
10
10
00
10
10
00
00
10
00
01
10
00
10
00
01
00
10
01
01
10
00
00
00
00
11
11
11
01
00
00
00
00
01
10
10
00
10
00
01
10
01
00
11
10
11
11
10
01
10
11
00
01
10
00
00
00
01
11
10
01
10
10
10
00
01
10
10
11
00
00
00
00
10
01
10
00
10
00
00
11
10
00
11
10
11
10
10
11
00
11
00
10
10
00
00
00
11
00
00
10
00
10
00
00
11
10
00
00
00
11
00
01
10
00
10
10
10
00
00
00
01
10
11
10
10
10
01
10
11
10
00
00
01
01
00
10
10
00
10
11
10
00
01
11
00
00
10
10
10
01
00
01
10
10
00
11
00
01
10
10
11
10
00
10
10
00
10
10
10
01
00
10
00
10
10
10
11
11
00
00
00
00
10
11
01
10
10
10
10
10
00
00
10
10
10
10
00
01
00
10
01
00
11
10
11
10
10
10
11
01
00
01
10
11
00
10
01
11
10
01
11
00
00
11
00
01
11
10
10
10
10
10
10
00
00
10
11
10
00
10
00
01
10
00
10
01
01
11
00
01
01
11
10
00
00
10
11
10
11
10
00
00
10
00
00
01
00
10
10
01
11
00
01
00
10
00
10
10
01
11
10
10
00
11
10
10
01
10
01
11
00
11
11
00
10
01
11
10
00
00
01
00
00
10
10
11
00
01
00
10
10
10
10
11
01
00
11
01
11
01
10
11
00
00
10
01
01
11
10
11
00
11
11
11
10
11
01
10
00
00
10
01
01
11
11
10
10
10
11
00
00
00
10
11
10
00
10
11
01
00
11
10
11
00
00
00
10
11
00
11
01
01
00
11
01
10
10
00
00
11
00
01
10
10
00
01
10
00
00
10
11
10
10
10
00
00
10
01
01
00
00
01
10
00
00
11
10
00
10
10
11
00
00
10
01
00
11
10
00
00
01
11
10
00
10
00
01
11
01
10
00
00
10
11
01
00
11
01
11
10
10
10
10
00
10
10
00
00
10
10
10
00
01
00
10
11
00
10
00
00
10
00
00
11
10
01
11
01
11
00
00
11
01
01
00
10
10
11
10
00
00
10
00
01
00
00
10
10
00
00
10
00
10
10
11
00
00
11
11
00
00
01
10
10
01
11
10
10
00
10
00
10
00
00
00
10
00
00
11
00
11
00
00
11
01
10
11
00
01
11
00
00
00
10
11
00
11
00
00
10
10
01
00
11
10
00
11
10
10
10
10
01
10
00
01
10
10
01
01
00
00
10
11
10
00
01
01
10
00
10
10
01
01
10
10
00
00
00
10
10
01
00
01
10
01
00
00
10
00
01
10
00
10
01
00
10
00
11
10
01
10
00
10
10
01
00
00
10
10
10
11
00
00
11
11
00
11
01
00
10
10
01
11
00
00
00
11
10
00
11
01
10
10
00
10
01
00
00
10
00
10
00
10
10
10
00
10
10
00
00
01
01
00
00
00
11
00
01
00
10
11
00
00
00
01
10
00
10
10
00
11
11
10
11
01
10
00
00
00
11
01
00
11
01
11
10
10
00
00
00
10
10
00
01
01
10
10
11
10
00
00
00
10
10
11
11
10
10
10
10
11
10
10
00
01
11
10
01
01
10
10
11
01
10
11
01
10
10
10
10
11
01
11
00
00
10
00
01
01
11
10
10
01
11
10
00
10
11
01
00
00
01
10
01
00
00
10
10
11
01
01
11
00
10
10
01
10
10
11
00
01
10
10
00
00
01
00
10
00
10
10
00
11
00
10
10
00
00
00
10
01
10
10
01
00
00
00
10
11
00
00
00
00
11
01
00
10
00
00
10
00
00
00
01
00
00
10
00
10
00
00
11
11
10
11
10
10
11
01
00
01
00
10
10
00
01
01
10
11
00
01
00
10
00
10
11
00
00
10
00
00
00
10
10
01
00
11
10
10
00
10
11
10
00
01
10
00
00
10
00
11
10
00
10
00
11
00
00
00
11
10
10
00
00
10
10
11
10
00
01
10
00
00
11
00
10
11
00
01
11
11
11
10
01
10
01
01
01
11
10
10
01
11
01
00
10
11
10
00
10
10
01
00
10
10
01
11
01
10
10
00
10
10
11
01
10
01
00
10
11
10
00
11
00
11
01
01
00
11
10
10
10
00
00
10
01
10
00
01
10
01
10
10
00
11
10
10
11
10
10
10
10
00
00
01
10
10
10
00
00
00
10
11
10
01
10
10
10
10
00
10
00
00
00
11
00
00
01
00
00
11
00
10
00
01
00
11
11
10
01
10
00
00
00
10
10
00
00
10
11
10
10
00
00
10
10
00
00
10
10
11
01
10
01
11
11
01
00
00
11
11
00
01
10
10
01
10
10
01
00
10
00
01
00
00
00
10
00
00
11
11
11
10
00
01
11
10
00
00
10
00
10
10
10
10
00
00
00
01
10
11
11
00
01
10
10
01
10
10
01
10
00
01
11
11
11
10
01
10
00
10
00
00
00
01
10
10
10
00
00
10
10
00
00
10
10
11
10
10
10
00
00
10
01
00
01
10
01
10
11
10
11
00
11
00
00
01
00
00
01
00
10
00
00
00
00
11
00
11
10
01
10
00
10
10
00
00
10
10
01
00
00
10
10
10
10
01
01
00
01
11
11
10
11
00
10
10
00
00
00
00
10
00
00
01
11
10
01
01
11
01
00
00
01
01
00
11
11
10
01
01
10
00
00
00
01
10
10
10
01
10
10
10
00
10
10
00
01
10
01
01
01
10
01
00
01
11
00
10
10
01
00
10
10
11
11
11
00
00
00
10
11
10
01
00
00
10
01
11
11
11
01
00
00
01
10
01
00
10
11
10
01
00
11
00
01
11
10
10
11
00
00
00
00
10
10
01
00
11
00
10
01
01
01
01
01
00
01
11
10
00
00
10
00
10
10
00
00
10
11
00
11
00
10
10
00
01
10
00
01
00
10
10
01
10
10
01
00
01
10
10
01
01
00
00
10
10
01
00
10
11
11
10
01
00
10
01
10
11
00
10
01
10
01
00
11
10
00
01
00
00
10
00
10
01
00
11
10
11
10
01
10
10
01
01
00
10
01
00
01
10
01
00
11
01
10
00
00
10
10
00
01
10
10
10
10
11
10
00
10
10
00
10
10
00
10
10
10
00
11
10
11
00
11
10
01
00
00
10
11
00
00
01
10
00
00
01
01
11
00
10
11
00
11
10
00
01
11
00
00
10
11
00
00
10
00
10
11
00
00
10
10
00
01
10
11
11
10
00
11
01
00
10
10
00
00
11
01
00
10
11
01
10
10
01
10
10
01
10
00
10
00
10
10
10
10
11
10
00
11
00
11
00
11
10
00
01
10
10
00
00
10
00
01
00
00
01
10
00
11
10
00
01
10
11
11
00
10
00
00
00
11
10
00
10
01
00
10
00
01
00
00
00
11
10
11
10
00
00
00
10
00
01
11
01
00
11
11
10
01
10
01
01
11
11
00
00
10
10
00
10
10
00
00
10
00
11
11
10
11
10
11
10
00
01
01
10
10
00
10
10
10
01
11
10
00
00
10
10
10
10
00
00
10
10
00
10
11
01
00
10
11
01
01
10
10
00
00
11
00
10
11
00
11
11
10
00
01
10
10
11
00
00
11
10
00
00
00
00
10
00
10
11
10
00
01
00
10
00
10
10
00
00
00
10
10
10
00
00
10
10
10
10
10
10
00
00
10
00
01
01
10
00
10
01
10
10
11
10
00
10
10
00
00
10
10
00
00
00
10
10
00
00
11
00
10
11
01
00
00
00
10
10
00
11
10
10
00
11
01
00
11
01
10
01
01
01
01
00
10
11
11
00
00
10
11
00
11
10
10
00
11
00
10
00
00
10
10
11
00
01
10
00
10
11
11
11
00
00
00
10
10
11
00
00
00
00
01
00
10
10
00
11
11
10
10
10
10
10
00
00
11
00
01
10
11
00
00
00
00
11
10
10
00
00
01
00
11
00
01
10
00
11
11
00
10
01
00
00
00
10
00
00
11
10
00
00
00
11
01
00
01
10
00
01
11
00
11
00
00
00
10
10
10
00
00
00
11
10
10
01
01
10
11
10
01
10
10
11
11
10
00
11
00
11
01
11
10
01
00
10
00
00
11
11
01
00
11
01
10
01
10
01
10
10
00
01
00
11
11
10
01
10
00
00
00
01
11
11
10
11
00
11
10
00
00
10
00
01
11
01
00
00
00
00
10
10
00
01
00
11
10
00
10
01
00
11
10
00
11
11
10
01
00
11
11
00
01
10
11
01
00
10
10
01
01
10
10
00
10
00
01
10
00
00
10
10
10
10
11
11
10
10
00
10
00
10
01
00
10
10
00
00
10
11
00
10
01
00
00
01
10
10
00
11
10
10
00
00
00
00
01
10
11
10
10
11
10
10
00
00
11
10
01
00
01
11
11
10
10
11
11
10
00
01
00
10
00
10
10
01
00
00
11
11
00
00
10
10
10
00
00
11
11
00
10
10
01
00
11
10
10
10
10
00
00
10
10
10
10
01
00
11
00
00
10
10
00
01
11
10
00
00
00
01
00
10
00
10
01
00
10
01
01
11
11
00
00
11
11
01
01
10
10
10
00
00
11
10
00
00
00
01
00
11
10
01
00
10
00
11
11
00
11
10
10
00
01
00
10
10
00
00
00
10
01
10
11
10
10
10
00
11
01
00
10
10
10
01
00
01
00
10
01
01
10
00
11
01
00
01
11
10
00
00
10
01
01
11
10
01
00
11
11
00
00
11
00
01
10
00
10
10
10
10
10
00
10
00
11
10
00
00
00
11
00
01
10
00
10
01
00
11
10
10
10
01
10
00
11
00
11
00
00
11
01
10
11
00
01
10
00
00
00
10
10
11
01
00
10
00
00
10
01
10
01
10
10
00
00
11
10
00
00
00
10
00
00
11
00
10
10
00
10
11
10
01
00
10
10
00
00
11
00
01
10
11
11
01
10
11
01
00
10
00
11
11
00
01
10
10
10
10
10
11
10
00
01
00
01
10
01
01
10
01
00
00
10
00
00
00
00
11
10
00
11
00
10
11
10
01
10
10
10
11
00
01
01
10
10
10
00
00
10
10
00
00
10
00
10
01
00
10
10
00
11
10
11
00
11
11
01
10
10
10
11
00
00
10
11
10
10
00
01
00
10
10
01
10
10
00
10
10
11
00
10
10
00
01
00
10
11
00
00
01
10
00
00
00
01
00
00
11
01
00
10
11
01
00
10
10
11
10
10
11
00
01
10
00
01
10
11
00
00
10
10
00
01
11
10
00
10
10
00
10
11
10
10
00
10
01
10
00
01
10
00
10
00
10
11
00
00
10
10
00
01
11
11
00
00
10
01
10
10
11
01
10
10
10
00
10
10
01
00
01
01
01
00
10
10
01
01
10
00
10
11
01
01
00
10
01
10
00
00
11
00
10
10
00
10
00
10
11
11
01
10
00
00
00
00
10
10
10
00
10
00
10
10
00
00
10
11
00
00
10
10
10
00
01
10
01
10
01
11
11
00
01
10
10
10
01
00
11
11
00
11
00
00
10
00
00
10
10
00
00
11
01
01
10
00
00
00
10
10
11
00
11
11
01
00
00
10
00
11
10
00
00
11
00
11
00
11
00
01
10
11
11
01
00
10
10
00
00
10
10
11
10
10
00
00
11
00
00
01
10
10
01
11
10
00
11
11
00
00
10
01
00
01
00
10
00
10
10
00
10
11
11
11
00
10
10
10
10
01
11
00
10
01
10
10
00
10
11
10
10
11
10
01
01
11
10
00
01
01
11
10
00
01
10
00
01
11
10
00
10
10
10
00
01
00
10
00
00
00
00
10
00
10
00
11
10
00
10
00
00
10
11
10
01
00
00
10
00
00
00
01
00
10
01
10
10
00
00
10
10
10
00
00
11
01
00
10
01
00
11
10
01
10
01
11
11
00
10
00
00
10
10
11
00
01
01
00
10
10
00
11
00
00
11
10
10
00
01
10
10
00
00
01
10
10
00
10
11
10
01
00
01
11
11
01
01
01
10
01
00
10
10
10
01
00
00
00
10
11
10
00
10
01
10
10
10
01
00
10
10
00
11
11
00
00
10
10
10
00
00
00
10
01
01
10
11
00
10
00
01
11
00
01
11
01
10
01
00
10
11
10
00
00
10
10
00
01
11
10
00
00
11
00
10
10
00
10
10
11
00
10
10
00
01
10
10
00
00
11
00
00
00
00
10
11
00
10
10
10
01
00
01
00
10
10
00
11
10
11
00
01
11
10
01
01
11
00
10
10
01
11
11
00
01
00
00
10
10
10
11
01
01
00
10
11
00
00
10
00
00
01
10
10
00
01
10
01
10
00
01
00
10
10
10
00
11
10
00
11
10
11
10
10
11
00
11
01
00
11
10
11
00
10
00
00
10
00
10
00
11
00
10
00
10
11
11
00
10
11
00
10
00
10
10
00
00
00
00
10
00
00
10
11
00
00
10
10
00
00
10
10
11
01
11
01
11
10
10
11
00
00
10
10
00
11
11
10
11
00
10
00
01
00
11
11
00
01
10
11
10
10
00
10
01
00
01
00
01
10
11
00
11
11
10
11
00
00
10
00
01
01
10
10
00
10
00
01
00
11
00
01
10
11
11
00
00
00
11
01
00
11
11
10
00
11
00
00
11
10
00
01
10
10
10
10
00
00
10
10
10
00
10
10
10
01
00
11
11
00
10
01
00
10
01
01
01
00
10
10
00
00
01
10
10
11
10
01
01
01
01
00
00
10
11
10
11
01
01
00
00
00
10
11
00
11
10
10
10
10
00
10
00
00
11
00
11
11
10
00
11
01
11
10
00
00
00
11
10
10
00
00
10
11
10
00
00
01
00
00
10
10
01
00
11
01
11
00
11
00
00
01
00
11
10
00
10
10
10
00
10
00
10
01
00
10
00
01
10
11
00
11
10
00
10
10
00
10
01
00
00
10
00
10
01
00
00
10
00
00
01
10
11
00
11
00
11
00
00
00
00
10
10
11
00
01
11
10
10
10
10
11
10
11
00
00
10
01
11
00
10
10
11
00
11
00
01
10
10
10
10
00
10
10
00
11
00
10
01
01
00
00
01
10
10
00
10
10
10
10
01
00
10
01
10
10
11
00
00
00
00
10
10
10
11
01
10
10
10
00
10
10
00
10
10
10
11
10
01
11
11
10
11
11
10
10
10
10
01
01
11
00
00
00
10
01
10
01
00
10
10
00
10
01
01
11
11
01
00
11
01
00
10
00
01
11
11
00
11
00
00
00
10
11
01
10
11
00
01
11
11
00
10
10
10
11
11
00
01
10
11
00
11
00
00
11
11
10
10
01
01
10
00
10
01
00
10
10
01
01
00
00
10
10
10
00
01
00
00
10
01
10
10
11
10
01
01
00
00
01
01
10
10
00
01
00
11
10
00
10
11
10
10
11
00
00
00
11
10
10
10
11
00
00
00
00
11
10
10
00
11
10
01
01
10
11
01
00
11
10
01
10
10
10
01
01
11
00
00
00
10
00
00
10
10
10
10
10
11
00
01
00
00
01
10
10
00
10
10
00
11
10
01
00
00
10
01
01
01
01
11
00
01
00
10
10
00
00
10
00
00
10
00
00
10
11
10
00
01
00
00
10
10
01
10
00
10
00
00
00
10
10
00
10
11
10
00
11
10
00
10
10
11
11
11
00
00
11
00
01
10
10
10
01
01
10
11
00
10
10
00
00
00
01
10
10
10
10
10
00
10
11
00
00
00
00
01
00
01
00
01
00
11
10
11
10
10
01
01
10
10
10
10
10
00
00
00
01
10
11
10
10
00
00
10
00
01
11
10
00
10
10
00
10
01
10
00
00
01
00
10
10
10
00
00
11
10
11
10
00
10
10
00
10
10
10
10
10
00
00
01
00
01
00
10
11
01
01
10
11
11
11
00
01
10
10
10
00
10
00
00
10
00
01
00
10
01
00
11
10
00
11
00
00
00
10
11
01
00
10
01
10
11
10
10
00
00
10
00
11
00
00
00
11
10
00
00
10
10
00
01
11
01
00
11
01
00
10
00
10
00
10
11
10
10
00
01
11
10
01
00
10
10
10
00
10
00
10
00
00
10
10
00
10
00
00
00
01
10
01
00
10
10
01
00
00
01
10
10
00
00
01
10
01
10
10
11
00
00
11
10
00
00
10
10
00
10
00
01
00
10
10
10
00
00
10
10
11
00
00
10
00
00
10
00
00
10
10
00
00
11
11
11
01
11
10
10
10
00
01
10
01
10
11
01
00
11
10
00
00
11
11
10
00
00
01
00
01
00
00
10
10
01
01
10
11
10
10
10
10
00
11
11
01
00
11
01
01
01
00
10
10
10
01
10
01
00
00
01
00
00
10
10
00
10
00
10
10
10
00
00
00
00
11
01
10
10
00
00
11
10
10
01
00
10
11
10
11
00
00
00
10
10
01
01
11
00
11
11
00
11
10
00
00
10
10
10
01
00
01
10
11
10
10
01
01
00
10
10
00
00
00
11
10
11
00
10
10
00
00
00
00
00
01
10
10
10
10
11
10
01
00
00
10
10
10
11
00
00
11
10
10
10
10
00
10
11
00
10
10
10
00
01
00
01
00
00
00
10
11
01
11
10
10
11
00
01
01
00
00
10
01
10
00
10
10
00
01
00
01
00
10
01
10
10
00
11
11
01
01
11
11
11
01
01
10
01
00
11
10
00
00
10
11
00
00
10
00
11
10
00
00
00
10
01
10
10
11
01
00
10
10
11
00
00
10
00
00
00
10
10
01
11
10
01
10
00
00
11
00
11
10
11
10
00
00
00
00
11
01
00
00
11
01
11
01
01
10
00
10
00
00
10
00
00
11
11
00
10
10
00
10
00
00
11
10
00
10
00
11
00
10
10
11
01
11
10
11
00
00
10
00
10
10
00
00
00
10
10
00
01
00
00
10
10
00
01
11
00
01
00
00
00
10
10
01
00
11
10
10
10
00
01
00
10
10
01
01
10
10
10
00
10
10
00
00
00
10
11
11
10
10
10
10
11
11
01
10
11
10
10
11
01
00
10
11
00
10
11
11
10
10
01
00
10
10
00
10
10
01
01
11
10
00
01
10
01
10
00
10
10
10
00
00
10
11
10
01
00
11
10
11
10
00
00
11
10
00
11
11
00
10
00
00
11
00
00
11
01
00
10
00
10
00
00
10
00
10
01
00
00
10
10
10
01
00
11
10
10
10
00
01
00
00
00
11
10
10
00
10
11
11
01
00
00
01
10
00
11
10
11
00
00
00
00
10
10
00
00
00
10
00
10
00
01
10
01
00
11
00
00
00
01
11
10
10
10
11
00
00
10
10
00
10
01
10
10
10
01
00
01
11
10
00
01
00
00
10
11
00
11
01
00
00
00
10
11
10
01
11
00
10
10
01
11
11
00
01
01
00
11
11
10
00
11
10
00
00
10
11
00
00
10
00
01
10
00
00
00
01
00
01
00
01
00
10
10
01
10
11
10
00
00
00
00
10
00
00
01
11
10
00
10
00
00
10
10
00
00
10
10
01
00
00
00
11
00
00
00
01
10
10
10
11
00
10
00
11
00
01
00
01
00
10
10
01
00
11
00
00
11
00
10
10
10
10
00
01
00
01
10
01
01
00
10
10
00
00
11
00
10
10
11
00
00
00
00
00
01
10
00
10
00
10
11
00
10
01
10
10
00
00
10
01
00
10
11
00
00
00
10
01
11
10
11
01
00
00
00
11
11
01
00
11
10
11
10
00
10
10
11
00
10
00
10
11
00
10
01
10
11
00
01
10
00
10
00
00
10
11
10
01
01
11
00
10
11
01
00
10
10
00
00
00
01
10
10
00
11
11
10
00
11
00
00
11
00
11
10
10
10
10
00
10
01
01
11
00
10
00
10
00
10
11
01
11
10
10
00
01
11
00
00
10
10
00
10
10
11
11
00
10
11
11
01
00
00
00
10
10
11
10
00
00
11
01
00
10
10
01
00
10
10
11
00
01
01
01
11
10
10
00
00
10
11
00
10
11
10
00
00
10
10
01
00
10
11
00
10
11
11
11
10
10
10
01
01
11
10
01
01
01
00
01
10
10
00
00
00
11
01
00
00
10
00
10
00
00
10
01
00
00
01
10
10
11
10
01
10
00
10
10
10
11
00
10
01
11
00
01
00
00
10
00
00
00
00
10
10
11
11
01
00
10
00
10
10
00
00
11
10
00
11
00
10
10
01
10
01
10
00
11
00
10
00
00
10
00
10
10
11
00
00
11
10
01
11
10
00
00
11
00
11
10
01
11
11
00
00
00
10
01
01
10
10
00
11
00
01
10
10
00
01
01
10
10
01
11
11
01
10
10
00
10
00
00
00
00
10
10
10
00
10
10
01
00
11
10
10
10
00
00
10
01
00
11
01
11
10
00
01
10
10
01
00
01
00
01
00
00
00
11
10
10
01
00
10
10
11
00
11
00
10
01
01
10
11
00
11
00
01
10
00
01
10
00
01
01
10
01
10
00
00
01
00
11
10
10
01
11
00
10
00
00
10
10
01
10
11
10
00
00
10
10
10
10
10
10
00
10
10
00
01
00
01
10
11
10
00
00
10
00
00
10
10
00
00
00
00
01
00
11
11
11
10
10
10
10
00
00
00
10
01
10
01
01
10
01
10
10
11
10
01
01
00
10
10
00
10
00
01
00
10
01
00
11
10
00
10
00
01
00
00
00
00
01
10
00
00
00
11
10
10
10
11
00
10
10
11
11
00
00
01
11
10
10
01
01
01
11
01
00
10
00
11
10
01
01
11
11
10
00
11
01
00
11
11
01
00
00
11
00
10
00
00
10
11
01
11
00
11
10
10
11
00
00
10
01
00
11
10
00
10
00
10
10
00
01
00
10
10
00
01
00
10
11
10
00
10
00
01
11
00
00
00
10
11
10
00
10
00
00
10
00
10
10
00
00
11
11
10
01
11
10
10
10
00
00
00
10
01
10
00
11
10
10
11
00
01
10
11
00
00
10
10
11
00
00
10
10
10
11
01
00
01
00
11
11
00
10
01
00
10
00
00
11
10
11
00
00
10
00
10
01
10
10
10
00
11
00
00
00
10
01
10
10
10
10
11
10
00
00
10
00
10
10
01
00
10
00
10
01
00
00
11
10
11
10
11
10
11
11
10
01
00
00
10
00
01
01
11
10
11
10
00
00
10
11
10
11
00
10
01
00
00
00
00
11
10
00
00
01
11
00
11
10
01
11
11
01
01
00
01
11
11
10
10
01
01
10
10
01
00
01
10
10
10
00
00
10
10
10
11
00
10
10
00
10
10
10
00
11
11
01
11
10
01
00
11
00
01
11
11
10
00
10
10
10
00
00
10
10
10
01
10
00
10
11
00
00
01
10
10
11
10
01
10
00
00
01
11
01
01
01
00
11
00
11
10
11
01
00
00
11
10
00
00
10
10
10
10
00
10
11
00
10
10
01
00
10
00
01
10
11
10
10
00
10
00
10
01
00
00
10
11
10
00
01
10
10
10
00
00
10
10
10
00
10
01
11
01
10
10
00
01
00
10
10
00
00
11
01
00
10
01
00
01
10
10
01
10
11
00
11
10
10
00
01
10
11
01
00
00
00
10
10
00
10
01
00
11
10
11
10
10
00
11
11
01
00
10
11
01
11
01
11
10
00
10
10
01
10
11
00
01
10
10
00
10
11
00
00
11
10
11
00
11
00
01
00
00
01
10
00
00
01
00
11
11
11
10
10
11
00
00
01
10
01
10
01
00
10
10
11
00
01
11
10
11
10
00
10
11
01
10
10
10
10
11
11
11
00
10
00
11
01
00
00
11
00
00
00
11
01
00
10
10
11
00
10
10
00
10
00
10
00
00
10
10
10
00
00
11
10
10
00
00
10
00
00
11
01
11
10
00
11
10
10
00
00
10
01
00
11
11
00
01
01
11
10
10
00
00
00
10
10
01
10
11
01
10
10
00
00
10
01
00
10
11
00
10
10
10
00
10
10
10
00
00
11
01
10
11
00
00
00
10
00
01
00
11
10
01
00
10
10
00
00
11
00
00
10
10
00
10
00
01
01
10
00
10
11
11
00
11
00
01
11
01
10
00
00
10
10
01
00
01
10
10
10
10
00
00
00
01
11
11
10
01
00
00
10
01
10
10
11
10
00
00
11
10
11
10
10
00
00
10
11
10
00
01
00
00
01
01
00
11
00
10
00
00
10
00
00
10
01
01
11
00
11
00
10
11
00
00
01
10
10
00
01
00
00
10
10
00
10
11
00
11
01
10
10
00
10
00
00
10
10
00
11
01
00
00
11
00
10
10
00
10
10
00
10
10
01
00
01
01
10
00
00
10
01
00
10
11
11
10
00
00
10
00
00
10
11
01
11
10
11
01
00
00
10
00
00
10
10
10
00
01
00
00
10
00
00
10
10
11
00
10
00
00
11
10
11
11
11
00
00
10
10
10
00
01
10
10
01
00
10
10
01
00
01
10
10
01
00
11
00
10
11
00
11
01
00
10
00
11
10
10
01
01
01
11
10
11
00
11
10
01
01
10
00
00
10
11
11
00
10
11
10
00
10
11
00
10
10
01
00
01
11
10
11
00
10
10
10
10
00
01
11
00
01
10
00
00
10
00
00
10
10
10
00
10
01
01
00
10
11
10
00
10
00
00
00
10
11
10
10
00
00
10
10
10
11
00
00
10
11
01
10
01
10
00
11
11
00
00
11
11
10
00
00
00
11
01
00
10
01
10
10
10
11
00
01
10
10
01
00
10
00
00
10
10
01
00
11
11
10
11
10
00
10
00
00
00
01
10
01
11
11
10
00
01
10
00
00
10
10
00
10
00
10
10
11
11
01
11
01
10
10
10
01
00
11
11
00
01
10
00
01
00
11
11
01
00
10
00
11
10
00
01
01
11
00
10
00
10
10
00
10
10
00
01
00
00
11
10
10
01
01
11
11
10
10
00
11
10
10
11
00
01
00
11
00
00
10
11
00
01
10
11
11
10
00
10
01
00
01
10
10
00
10
01
00
11
11
01
10
00
11
01
10
11
01
11
10
10
00
00
11
11
00
00
10
00
00
00
10
10
00
00
01
10
00
10
10
00
10
11
00
10
00
11
10
00
10
10
01
00
10
01
00
00
11
10
10
00
00
10
11
00
00
10
11
00
00
11
10
01
00
11
01
01
10
10
10
00
00
10
00
00
10
10
00
10
10
00
11
10
00
01
11
10
00
01
10
10
00
00
10
10
11
10
11
00
11
10
00
01
00
10
10
11
00
10
10
10
11
00
00
00
01
00
10
00
00
01
00
11
11
01
10
10
10
01
00
11
01
10
10
00
10
10
00
00
10
10
00
00
00
01
00
00
00
00
00
00
11
10
00
10
11
11
10
00
00
00
00
10
10
10
00
00
01
10
11
00
10
10
11
10
11
10
00
00
00
11
10
10
00
00
11
10
00
10
00
00
00
11
10
01
10
10
00
00
00
10
11
10
01
11
11
11
00
10
10
10
00
11
00
01
11
10
00
01
00
10
11
00
10
00
00
11
11
11
11
11
11
00
00
00
00
10
11
11
00
10
11
11
01
11
11
00
11
00
00
01
00
11
11
10
01
00
00
00
10
10
00
11
11
01
00
10
10
10
00
10
10
00
00
01
00
10
01
11
01
10
01
00
00
00
10
10
01
00
10
00
10
10
10
01
01
00
11
00
00
01
00
10
10
00
01
00
10
10
10
00
01
00
11
00
00
01
10
00
11
10
01
10
00
11
00
10
00
00
10
10
11
00
10
00
10
00
00
00
01
01
00
01
10
10
00
01
01
10
00
10
10
01
00
11
10
00
00
11
11
10
10
00
11
11
00
10
10
10
11
10
01
00
11
10
00
00
10
11
10
10
01
01
01
10
00
00
11
11
01
10
00
11
10
00
10
11
00
10
00
00
10
10
11
01
10
10
00
10
00
10
10
00
10
11
10
11
11
11
10
10
01
10
01
00
10
00
01
01
00
10
00
00
00
01
11
11
01
00
01
10
01
11
11
00
00
11
00
00
10
10
00
00
11
10
01
10
00
10
01
00
01
11
11
01
10
10
00
10
10
00
00
11
00
10
10
10
11
10
00
10
11
10
01
01
10
11
11
01
00
00
00
10
01
00
11
10
11
00
00
00
00
00
10
10
00
10
00
01
01
11
10
11
11
01
11
01
11
00
11
10
01
00
11
01
00
01
10
01
00
00
10
11
01
00
01
10
11
11
11
00
11
00
01
10
10
00
00
10
00
00
11
11
00
10
10
00
01
00
00
11
10
11
00
00
10
10
01
00
00
10
00
01
10
00
00
01
10
10
01
10
10
10
00
10
10
10
00
00
11
00
10
00
00
01
00
00
10
10
00
00
00
10
11
10
00
00
01
01
01
10
11
10
00
01
10
10
11
00
00
00
01
01
00
00
11
10
00
00
10
01
00
00
10
10
01
00
11
11
00
01
00
00
11
00
01
10
10
01
00
01
00
00
10
10
10
10
01
00
11
11
10
00
10
11
11
10
01
10
11
01
10
10
00
10
10
10
01
00
10
11
01
10
10
00
11
01
00
10
11
10
01
10
01
10
00
11
10
11
00
10
10
01
10
00
00
10
10
00
10
00
00
10
10
01
00
00
10
00
10
10
10
11
00
11
01
01
00
10
10
11
11
10
10
00
01
00
11
01
00
10
00
00
11
10
11
01
00
10
00
01
10
11
00
01
11
11
00
00
10
11
01
11
00
00
01
11
10
01
00
10
10
00
00
01
00
00
10
10
10
00
00
10
11
00
00
01
11
00
10
00
11
11
10
10
00
01
00
11
10
01
00
00
00
10
10
00
11
10
01
00
11
10
11
00
01
01
11
11
01
00
10
01
00
10
00
00
10
00
10
10
00
01
01
01
11
10
01
00
10
11
00
00
01
10
10
01
11
10
11
00
10
11
10
00
01
10
10
00
00
10
10
00
11
11
01
01
11
01
11
11
00
00
11
01
00
10
11
01
00
10
10
01
00
11
10
00
00
10
10
00
10
10
10
01
10
00
00
10
00
00
00
00
00
01
11
10
00
01
10
01
11
10
00
11
10
11
00
10
10
00
00
00
01
10
01
10
01
10
10
00
00
10
10
00
00
00
00
01
00
00
01
10
10
10
00
10
00
00
11
00
10
00
10
10
10
10
00
11
00
01
10
11
01
00
00
01
10
10
11
00
11
01
11
10
10
00
00
10
10
01
00
00
01
00
11
01
10
01
10
10
00
00
11
10
10
00
11
00
01
10
01
10
00
10
10
00
11
10
01
01
10
10
10
10
01
00
10
10
00
00
10
00
00
11
10
00
11
11
10
11
10
00
00
10
10
11
00
01
10
01
10
00
10
11
10
10
00
10
10
10
10
00
00
00
10
01
00
11
10
00
00
10
11
00
01
10
10
11
00
11
10
00
00
00
01
01
10
10
00
10
11
00
01
10
10
00
01
00
10
10
01
00
01
11
10
00
01
11
11
01
01
11
10
11
00
01
11
10
11
00
10
00
10
11
10
00
00
10
11
00
00
00
00
00
10
10
00
11
11
00
00
11
00
11
10
11
10
01
00
10
01
11
10
00
01
11
10
00
11
00
00
11
00
11
10
11
00
10
10
00
00
10
10
01
00
01
10
11
00
11
10
11
11
00
10
11
00
10
01
00
11
10
00
01
01
00
01
11
10
10
10
10
00
11
11
00
10
01
01
11
01
10
00
00
10
01
00
10
11
00
10
00
00
00
00
11
00
10
10
00
10
10
00
01
00
01
10
00
00
01
00
10
00
00
00
11
00
00
10
00
00
11
00
11
10
11
01
11
11
00
10
10
01
11
10
00
00
10
00
10
10
00
10
10
00
01
00
00
10
11
00
10
10
11
00
11
10
00
00
10
10
00
01
10
10
10
00
10
11
11
00
01
01
10
00
10
11
00
01
10
00
10
10
10
00
10
00
10
10
01
00
11
01
00
01
00
01
10
01
00
00
10
11
10
00
00
11
10
01
10
10
10
00
10
10
01
00
10
10
01
00
00
00
11
11
00
10
00
10
00
00
10
00
01
10
11
00
11
10
00
00
10
10
00
10
00
11
11
10
01
00
11
10
00
00
10
00
01
11
11
00
10
11
10
01
11
10
00
00
01
10
01
00
10
00
00
10
11
00
01
10
11
00
00
10
10
01
00
10
10
10
11
00
10
01
10
10
00
01
00
01
01
10
10
00
00
00
00
00
10
10
10
11
01
11
00
11
01
10
00
00
11
10
00
00
10
01
00
00
10
10
00
10
00
00
10
10
10
11
00
01
11
00
11
00
00
11
01
00
10
01
01
01
11
10
10
10
00
01
00
11
10
01
00
01
10
10
10
00
10
10
01
10
01
00
01
00
11
10
10
00
01
11
11
11
00
10
11
00
00
00
10
10
11
00
01
10
11
11
00
00
10
10
00
10
10
10
00
10
10
01
11
00
11
00
10
10
10
10
11
10
00
10
10
10
01
00
10
11
00
10
10
00
10
11
00
00
11
00
00
00
01
00
10
11
10
11
10
00
10
10
10
00
10
11
10
01
10
01
11
11
10
00
00
10
11
00
11
10
00
10
11
11
00
00
10
01
01
00
00
11
01
00
11
10
11
11
01
00
00
00
11
11
10
01
01
00
00
11
10
01
00
10
11
00
10
00
10
10
01
01
10
01
01
11
10
00
01
10
10
01
01
00
10
11
00
01
10
10
11
00
01
01
00
10
10
00
00
00
10
00
10
10
01
10
01
00
00
11
10
00
01
00
10
00
00
10
01
00
00
01
00
10
00
01
10
00
00
11
00
11
10
10
01
00
11
10
10
11
00
01
10
00
00
01
10
00
00
10
11
00
01
01
00
01
00
10
10
11
10
10
00
00
00
01
00
10
10
11
11
01
10
01
10
00
10
00
01
10
10
00
10
00
00
10
00
00
10
10
00
00
10
10
10
01
01
10
11
01
00
10
11
00
10
10
01
10
01
10
10
11
00
00
01
10
11
00
10
10
11
10
11
10
00
00
10
00
00
10
10
11
10
11
10
11
01
10
10
00
10
10
00
00
10
00
00
01
10
00
11
10
11
10
00
01
00
10
00
11
10
10
10
01
00
00
10
11
11
11
10
01
10
11
01
10
11
00
11
10
00
00
10
11
00
11
11
11
01
01
00
01
00
01
00
10
10
01
00
10
00
01
00
10
00
01
10
10
10
11
11
00
10
00
00
10
00
10
10
10
01
11
10
00
10
10
11
00
10
00
11
00
10
01
00
00
11
11
10
01
10
11
00
01
01
10
10
01
00
10
10
01
10
10
00
00
10
00
10
11
00
00
00
10
11
10
00
01
11
10
10
00
00
11
10
11
00
00
11
00
01
00
10
11
11
00
10
01
00
10
00
01
00
00
10
00
10
10
10
10
11
11
01
00
00
10
00
00
10
11
00
00
00
11
11
01
10
11
11
01
11
00
10
10
00
10
10
00
11
10
00
01
10
01
11
00
01
10
10
10
00
00
11
11
01
00
10
00
10
01
11
00
01
11
00
11
00
00
00
00
00
10
10
00
01
10
11
01
00
10
10
10
01
00
11
10
10
10
10
11
00
01
10
00
00
01
01
01
10
11
00
10
10
10
01
00
10
10
00
11
10
00
11
00
01
11
00
10
00
10
00
10
10
01
11
10
10
10
10
10
01
00
10
11
10
11
11
11
01
00
00
00
11
00
10
10
10
00
10
00
01
11
10
11
00
00
10
00
00
01
10
11
00
11
01
10
11
00
10
10
10
00
10
11
00
10
11
01
10
11
10
01
10
00
11
00
11
10
00
01
00
11
10
10
10
10
10
10
00
00
10
00
11
00
11
10
00
01
11
11
00
10
10
10
01
00
11
00
00
10
00
00
10
11
01
01
11
01
00
00
10
00
01
01
10
11
00
01
10
00
10
00
00
11
10
01
00
10
00
10
01
01
10
10
11
10
11
01
10
11
10
10
01
00
01
11
00
00
10
11
00
11
10
01
10
00
00
10
10
01
11
11
10
00
00
11
00
00
10
10
00
00
01
00
01
00
11
10
00
01
10
00
00
10
10
00
11
11
00
01
00
11
00
10
00
01
01
10
00
00
11
00
01
10
11
00
01
00
10
10
00
00
11
10
00
10
10
10
10
10
01
01
11
00
00
00
11
10
01
11
11
01
10
01
00
00
10
11
00
10
10
01
10
10
00
00
10
10
00
10
10
11
00
00
00
00
10
01
00
00
10
10
00
11
10
00
01
10
10
00
00
10
01
00
00
10
10
00
01
11
10
11
00
10
10
11
00
11
00
00
01
00
01
11
10
01
10
00
11
10
01
11
10
01
01
10
10
01
01
00
10
11
10
10
01
01
11
11
10
01
11
01
00
01
00
11
11
00
00
10
00
10
11
00
11
10
00
11
10
10
00
10
00
10
00
00
00
11
10
10
11
10
11
00
10
00
01
10
00
01
10
11
00
00
00
11
00
11
11
00
00
00
10
10
00
00
10
00
10
10
11
10
00
00
00
01
10
00
10
10
00
10
10
01
00
11
00
01
11
00
10
10
00
00
11
11
00
00
10
10
01
01
10
00
00
00
00
01
10
11
01
10
01
10
10
00
01
11
01
10
11
11
01
01
10
01
11
01
00
00
11
10
01
11
11
00
00
11
10
10
11
10
01
10
10
00
00
00
10
00
01
10
10
00
10
00
00
11
01
10
00
00
01
10
10
00
01
10
10
10
10
11
00
00
00
11
01
00
11
10
10
01
00
00
00
01
10
10
00
00
11
00
00
11
10
10
00
00
00
01
11
10
00
01
11
00
10
10
10
01
10
11
01
00
10
00
00
00
10
11
00
00
00
11
10
01
00
11
01
00
00
01
10
10
11
01
10
00
01
00
00
01
10
10
00
00
01
00
10
10
01
11
01
00
11
10
11
00
10
11
01
01
00
00
11
00
01
10
11
11
11
00
11
00
01
10
10
10
00
00
10
01
00
11
00
00
10
00
11
10
00
10
00
00
10
00
11
00
00
00
00
00
00
00
00
10
10
00
11
10
00
00
10
00
00
10
00
10
00
00
11
10
01
10
00
01
10
10
00
00
10
00
10
10
10
10
10
00
01
10
01
10
00
00
01
01
10
10
01
11
10
10
11
01
00
10
00
01
10
11
10
10
11
00
00
00
00
00
00
11
11
11
00
00
00
10
01
11
01
00
10
00
01
11
01
10
11
10
10
00
00
11
00
11
00
11
11
01
00
10
01
00
00
10
11
10
00
11
01
00
01
01
11
10
10
10
00
00
10
11
10
01
00
00
00
10
11
11
10
00
00
10
10
10
01
01
00
10
10
11
11
00
00
11
10
00
00
10
10
10
10
11
00
10
11
10
01
10
11
11
00
11
00
10
00
01
10
01
10
10
00
10
10
01
10
10
00
10
11
01
10
10
10
00
01
00
01
10
10
10
10
01
11
00
00
10
01
01
01
10
10
00
00
10
00
00
10
11
00
00
00
00
10
01
10
00
11
10
10
01
00
10
00
01
10
10
00
00
00
10
10
00
01
01
10
11
00
01
01
01
10
10
00
00
00
00
11
00
01
11
11
10
00
01
01
01
11
11
00
10
01
11
10
11
11
01
00
01
11
10
10
00
01
01
01
10
11
11
10
01
10
11
01
01
11
01
00
11
10
00
00
10
00
01
00
10
10
00
10
01
10
00
10
00
01
10
00
10
00
11
10
11
00
11
10
10
10
00
11
11
10
01
00
10
10
11
00
10
11
00
10
00
01
11
11
10
01
00
10
00
11
00
00
10
00
11
01
00
11
00
00
10
00
10
10
00
00
00
10
10
10
00
10
11
11
00
00
10
10
01
00
11
01
11
10
00
01
10
00
01
10
10
01
00
11
11
01
00
10
10
00
10
00
10
11
00
00
01
10
10
10
01
01
11
10
01
00
10
10
00
00
10
10
11
01
00
01
00
00
00
00
10
10
10
00
01
10
10
10
00
00
10
00
00
01
00
10
00
11
10
00
10
11
01
00
10
11
11
00
00
00
01
00
01
10
10
11
11
11
00
10
10
01
00
11
01
00
10
00
00
11
10
00
10
00
01
00
01
10
01
01
00
10
00
11
10
00
10
10
00
10
11
01
01
10
00
11
01
11
10
00
00
10
11
00
00
01
10
10
10
00
11
10
10
10
00
10
00
01
11
11
11
00
10
01
00
00
00
01
10
11
00
01
10
00
11
10
00
11
00
00
01
00
10
10
00
01
00
11
10
10
00
10
01
10
10
00
00
10
01
11
10
10
11
00
10
00
00
10
00
11
10
11
00
00
00
10
00
11
10
01
00
00
01
00
00
10
11
01
11
10
10
10
01
10
11
00
01
10
01
00
11
00
01
10
00
10
01
00
00
00
10
11
10
00
10
00
10
10
01
01
10
00
11
11
10
11
11
10
00
10
10
00
11
11
01
10
10
00
00
10
00
00
10
10
10
11
01
01
00
10
10
10
00
11
11
00
10
10
10
01
00
10
10
01
10
00
01
00
11
11
10
00
01
11
00
00
01
10
10
01
10
10
10
00
00
11
10
01
00
00
10
01
01
00
10
10
00
10
00
10
01
00
10
11
10
10
10
10
00
01
10
00
01
11
11
00
00
11
11
11
10
00
10
11
00
11
01
01
11
00
00
11
00
11
11
01
10
11
00
00
00
10
11
10
00
01
10
10
00
01
10
00
01
00
01
01
00
11
10
01
11
00
00
11
00
00
00
11
10
10
10
10
01
10
00
10
00
10
10
00
00
10
10
00
00
00
11
01
10
10
10
01
00
00
11
01
01
11
00
10
01
00
00
10
10
11
11
00
00
00
00
10
01
10
11
11
01
00
00
10
01
10
11
11
00
01
00
10
01
00
10
10
10
01
00
01
10
11
01
01
00
01
10
10
00
00
10
01
00
10
00
11
00
01
00
10
10
01
01
11
01
01
10
01
01
01
01
11
10
00
10
10
00
00
10
11
10
01
00
00
11
00
00
10
10
00
10
10
00
10
11
11
01
10
10
00
00
00
10
10
00
00
00
10
00
10
10
10
00
00
01
11
10
00
00
01
01
00
11
10
00
00
10
01
10
10
01
01
10
00
00
10
10
11
10
01
10
01
01
10
10
11
10
00
01
00
11
10
01
10
10
00
01
00
11
10
11
00
01
01
00
01
10
01
10
10
00
01
00
10
00
00
00
00
00
11
10
01
10
11
10
11
00
11
00
00
00
11
00
00
00
10
11
00
10
11
10
00
00
10
11
10
00
11
00
10
11
00
01
11
00
00
11
00
10
01
00
11
10
11
11
00
01
11
10
00
10
00
00
00
10
00
11
00
11
00
10
00
01
10
10
00
00
00
10
00
00
10
11
00
00
10
10
11
00
01
10
00
10
00
10
01
10
11
00
10
10
01
01
01
01
11
00
00
11
10
00
10
11
01
00
10
00
00
10
00
00
11
00
00
00
00
01
10
10
10
11
11
01
00
10
01
00
01
00
00
10
00
11
10
11
01
11
01
10
10
01
00
11
10
00
00
00
11
00
10
01
10
10
00
11
10
01
11
11
00
00
10
10
10
01
11
10
00
00
01
11
01
11
11
10
01
10
00
11
10
01
00
00
10
00
01
00
00
10
10
00
00
11
11
01
01
00
11
11
10
00
11
10
10
00
10
00
10
10
00
01
00
10
11
11
11
00
01
00
11
10
00
11
10
00
00
10
10
00
01
10
10
10
11
01
00
10
10
00
00
10
10
10
00
00
00
00
11
10
01
00
10
00
10
00
11
00
00
10
01
00
00
01
10
11
00
00
10
00
01
11
11
01
00
00
11
00
10
10
00
01
10
01
01
11
10
01
00
10
11
10
11
00
00
10
00
10
11
10
01
00
01
10
10
00
11
11
00
11
11
10
00
00
11
00
01
00
00
10
00
00
00
00
01
00
11
10
00
00
11
11
10
01
00
10
10
10
00
10
00
01
10
10
10
11
00
00
11
00
01
11
11
11
10
10
01
01
11
10
00
01
10
01
11
11
01
10
11
10
00
00
10
01
01
10
00
10
11
10
01
00
10
10
00
10
01
10
11
10
10
00
00
00
10
01
01
00
01
11
10
11
00
01
00
10
11
00
01
10
00
10
00
10
01
10
11
11
00
10
10
10
10
01
00
11
00
10
10
00
11
00
11
10
10
10
01
00
11
10
10
00
00
10
10
11
00
11
00
00
00
10
10
10
10
00
10
10
00
10
01
01
10
10
01
01
01
10
00
10
11
00
11
01
00
11
10
11
00
00
10
00
01
01
01
10
00
11
00
10
10
11
00
10
10
01
10
11
01
01
10
00
10
01
11
10
11
00
01
00
10
00
11
01
00
00
10
00
00
00
10
11
01
00
00
10
00
01
00
10
10
11
10
10
00
01
10
01
00
11
10
00
00
00
10
10
00
01
10
10
00
00
00
10
00
10
11
11
11
01
10
01
00
00
10
00
11
10
10
00
01
10
10
10
00
11
10
00
10
00
11
10
10
00
11
10
11
00
01
11
10
11
00
10
00
10
10
00
10
00
10
11
01
00
11
00
10
11
11
11
10
01
00
00
00
11
10
00
10
11
01
10
10
10
00
11
10
10
00
01
00
10
01
00
00
00
10
10
10
00
00
10
11
01
10
00
00
11
00
00
10
11
10
00
01
00
10
00
00
11
10
00
11
10
01
01
00
10
01
00
00
00
11
11
00
00
10
01
00
11
10
10
11
00
00
10
00
00
00
00
11
10
00
10
01
11
01
11
11
00
00
00
11
10
00
11
00
00
11
10
10
00
01
11
00
10
00
01
10
10
00
00
10
10
00
00
11
10
11
00
00
01
10
10
10
00
00
01
01
10
11
00
11
10
00
00
11
10
10
01
00
11
10
10
01
10
10
00
00
10
11
01
10
10
00
00
10
11
00
10
00
11
00
10
01
00
11
01
10
10
00
00
10
11
00
00
11
10
10
01
10
10
01
00
10
01
11
10
01
10
11
01
10
01
11
10
01
10
10
01
01
10
10
10
00
11
00
00
00
11
10
10
11
00
01
10
10
00
10
01
10
10
00
01
10
10
00
10
11
10
00
11
10
00
01
01
00
11
10
11
00
00
00
01
10
11
01
00
11
10
10
00
01
10
11
00
10
10
10
00
00
00
11
00
00
00
10
10
10
10
00
00
00
10
10
00
00
10
11
11
10
01
11
10
01
00
00
00
11
10
11
10
00
10
01
00
01
11
10
10
10
10
01
11
10
01
11
00
10
00
10
11
10
11
00
01
01
10
00
00
01
11
00
11
00
00
10
00
00
00
00
10
10
10
00
11
10
00
10
11
10
10
11
00
10
00
10
00
10
01
00
00
01
11
01
01
00
10
01
00
00
10
10
00
00
10
00
00
10
00
10
00
10
10
11
01
11
10
00
00
01
11
00
00
10
00
10
01
10
10
00
11
10
00
01
00
00
11
01
10
10
00
01
10
11
01
10
01
00
11
11
00
01
10
00
00
00
00
10
11
00
00
00
01
10
10
10
10
00
00
11
11
11
10
10
11
00
10
00
10
11
11
10
00
00
00
00
10
00
00
10
10
11
10
00
00
00
01
11
00
10
10
11
10
00
00
11
10
01
10
11
00
11
11
00
10
10
01
00
00
10
00
10
01
00
00
00
10
11
01
11
10
00
01
11
00
10
10
00
00
01
00
00
01
11
00
10
10
00
11
10
00
11
11
00
10
10
00
10
10
10
11
01
00
11
10
10
00
01
10
10
11
00
01
00
01
01
11
00
01
11
10
01
00
01
00
00
10
10
01
01
10
11
01
00
11
11
10
00
10
10
01
00
00
10
00
10
11
01
00
10
10
10
10
01
11
10
00
00
11
01
01
10
01
11
00
00
01
10
00
00
11
11
00
11
10
01
00
01
10
00
00
10
10
10
00
00
10
00
00
00
00
11
10
10
10
00
00
00
10
11
00
00
10
11
11
00
10
01
10
11
10
10
00
01
10
10
10
01
10
11
10
01
00
10
00
10
01
01
00
10
01
00
00
10
10
10
10
01
00
01
00
10
00
00
00
10
01
10
00
01
10
10
00
01
10
10
00
00
00
10
10
01
10
11
00
11
01
00
10
01
00
10
11
10
10
01
01
10
10
10
10
10
11
00
00
11
10
11
10
00
01
11
11
10
11
01
00
11
10
00
10
00
00
01
00
11
10
11
10
10
00
11
01
00
01
00
10
00
01
10
10
10
01
10
10
10
11
10
01
01
11
10
01
11
10
10
01
00
11
10
01
10
10
01
10
00
11
01
00
10
11
10
00
10
10
11
00
01
11
01
10
10
10
01
10
10
00
01
01
10
10
00
10
11
11
11
10
00
00
00
10
11
10
01
10
10
00
10
01
10
11
01
00
11
10
11
10
10
00
00
01
00
00
10
00
00
11
10
01
11
10
00
10
00
00
11
11
00
01
11
00
11
00
00
00
11
10
11
00
10
01
00
10
11
11
00
11
10
11
00
00
10
10
00
10
11
01
10
00
00
10
11
10
00
01
11
00
01
10
10
01
10
11
10
10
01
01
00
10
10
00
00
10
10
01
00
11
10
01
11
00
10
10
00
10
10
01
10
01
01
00
00
01
11
00
00
00
11
11
00
11
10
11
00
10
11
00
10
00
01
10
10
01
00
01
10
11
00
00
10
10
01
00
10
00
11
10
11
10
01
01
11
10
00
11
00
10
11
00
10
01
11
00
01
11
11
10
00
00
00
01
11
10
00
00
00
00
00
00
00
00
11
10
11
00
00
10
01
10
00
00
11
10
01
00
00
11
10
00
00
01
11
00
10
11
00
00
00
10
00
01
11
11
00
10
01
10
00
00
10
00
10
00
10
00
00
00
00
01
10
00
01
10
01
01
00
10
01
11
10
11
00
00
11
01
10
11
00
01
01
11
10
00
00
10
10
10
01
10
01
00
00
01
00
11
00
10
11
00
00
10
10
00
00
00
11
11
01
00
00
11
00
11
01
00
10
10
10
01
10
10
00
00
10
00
01
10
00
10
00
00
00
10
10
00
00
01
11
10
10
10
01
01
11
10
00
00
01
00
00
10
10
10
01
10
10
11
10
11
11
00
00
00
00
01
10
10
01
10
10
01
00
00
10
10
10
00
00
10
10
11
11
01
00
01
00
00
00
10
01
00
11
10
10
01
00
00
10
11
00
10
01
10
11
00
10
01
01
11
10
00
01
00
11
11
00
00
01
10
01
10
10
10
10
00
10
10
00
00
01
00
01
00
11
00
01
00
10
10
10
10
01
01
10
00
10
10
00
00
01
00
00
10
01
01
10
00
01
00
00
00
10
10
01
00
11
00
11
10
10
10
10
10
00
01
10
00
10
10
11
00
00
11
11
01
10
10
00
10
00
01
00
10
11
00
11
11
00
01
00
10
00
10
10
00
01
10
10
10
00
11
00
00
11
10
01
10
10
10
01
00
00
01
10
10
00
00
00
11
10
00
01
00
01
11
10
10
11
10
11
00
01
11
00
10
00
01
11
10
10
00
00
10
10
10
11
10
00
00
11
10
10
11
10
01
00
11
10
11
11
01
01
10
01
10
00
00
01
11
11
10
00
01
01
10
00
10
11
11
01
00
00
10
10
00
11
00
01
10
10
00
00
10
11
01
00
00
00
11
10
00
00
10
10
11
10
11
00
00
00
11
10
11
10
00
00
01
11
00
11
10
10
11
00
10
11
00
01
11
00
00
00
10
11
00
00
00
00
11
11
10
00
00
11
00
01
01
10
00
10
11
01
01
01
10
11
00
11
11
01
11
10
01
00
00
11
00
11
00
00
10
00
00
10
00
01
10
00
00
00
11
10
00
10
01
10
10
01
11
10
11
00
00
01
10
00
00
00
11
10
00
10
01
11
00
10
10
11
01
00
10
00
10
00
00
01
10
00
01
10
11
10
01
01
00
10
01
10
11
10
00
01
00
11
11
10
00
10
11
10
10
10
10
10
10
01
00
10
10
01
11
00
10
11
01
01
01
11
11
11
11
01
00
10
01
00
00
11
11
00
11
10
00
11
00
10
10
01
00
10
11
01
00
11
11
00
10
11
00
10
10
11
00
11
10
00
00
00
10
10
10
01
00
01
01
01
01
10
00
00
01
10
10
10
00
01
00
01
10
11
11
10
00
10
00
10
00
00
00
10
01
11
10
00
10
11
11
00
10
01
00
10
00
10
10
00
01
10
11
10
10
00
10
00
11
10
00
00
10
10
01
01
10
10
00
01
11
01
10
01
10
10
01
00
11
10
00
00
10
01
00
00
01
10
10
00
01
00
11
10
11
01
00
10
10
10
00
01
10
10
10
10
10
10
00
00
10
11
10
01
10
00
10
00
11
10
01
11
11
11
10
10
01
11
11
01
11
00
10
00
00
11
10
10
11
10
00
01
01
00
10
10
10
10
10
00
00
10
10
00
10
00
10
10
00
00
10
11
10
01
10
00
01
10
00
00
00
11
10
10
00
10
00
01
10
10
00
01
10
01
01
00
00
11
00
10
10
00
00
10
10
10
10
00
00
00
10
10
00
00
11
01
10
11
00
01
01
10
00
00
00
10
10
00
10
00
10
10
01
01
01
10
00
10
10
01
10
10
00
00
01
10
00
10
01
10
11
00
00
00
00
11
10
00
01
00
11
10
00
00
00
01
00
10
10
10
00
10
10
00
10
11
00
01
01
01
10
10
10
00
00
00
00
11
11
01
01
11
00
00
00
00
11
10
01
01
10
00
10
10
00
10
10
01
10
10
00
01
10
00
00
11
00
10
00
00
01
11
00
00
00
00
00
00
11
10
00
00
00
10
01
01
01
11
10
00
11
10
00
00
10
10
00
00
01
11
10
00
10
11
01
00
10
10
11
00
01
11
10
01
01
11
10
11
01
10
00
01
10
10
10
00
10
10
00
10
10
01
11
01
00
01
10
11
10
01
00
11
11
00
00
00
00
10
10
00
10
10
00
00
10
01
10
01
10
11
10
00
11
00
10
01
00
10
00
10
00
10
01
10
00
00
11
01
10
01
01
11
00
10
01
10
00
01
11
11
00
01
10
00
01
00
10
10
10
00
00
00
00
10
11
00
10
00
00
00
01
10
10
00
10
01
11
11
10
10
10
01
10
00
01
11
10
00
00
00
00
01
11
00
11
10
00
10
10
00
10
11
00
10
01
01
10
11
11
01
11
01
10
10
11
00
00
01
10
10
01
11
10
01
00
00
10
01
10
11
10
01
00
10
00
01
00
11
01
01
01
10
01
11
01
10
10
00
01
11
10
11
01
11
10
00
00
00
10
11
10
10
00
00
10
10
01
01
11
11
00
00
10
00
11
00
01
10
00
11
10
01
00
10
10
11
01
00
10
00
11
10
10
11
11
11
01
00
10
00
10
10
00
00
10
00
10
11
01
10
11
11
00
00
01
10
10
10
10
00
10
00
00
10
10
10
01
11
00
10
10
11
11
10
00
01
11
00
00
10
01
00
01
10
10
00
01
10
00
01
10
01
10
10
11
10
10
11
01
01
11
11
10
10
10
01
00
10
11
10
00
01
00
00
01
00
10
11
11
11
01
01
10
10
11
00
11
10
01
01
00
01
10
10
00
00
11
10
00
00
00
00
01
00
11
00
10
00
10
11
00
11
10
11
00
00
00
01
10
11
10
00
00
00
01
10
11
00
01
10
10
10
10
10
10
00
00
00
10
01
00
11
00
00
10
00
00
01
01
11
10
10
10
01
01
10
10
01
00
01
00
10
11
00
10
00
00
11
01
00
10
10
00
10
00
10
00
00
00
11
11
10
00
10
10
01
00
00
00
11
10
10
00
10
00
00
00
00
11
10
00
11
00
10
00
00
10
01
10
10
00
10
01
11
01
01
10
00
10
11
00
11
10
11
00
10
01
01
00
10
00
01
00
00
00
11
01
10
11
10
10
11
00
10
10
10
10
10
00
10
11
00
11
01
00
00
10
00
11
00
01
10
00
10
10
00
01
00
00
00
01
11
10
01
10
10
01
01
00
10
01
11
00
00
11
10
00
11
00
01
01
10
10
11
00
01
01
11
00
00
10
00
11
10
10
00
11
00
10
00
01
10
10
11
11
11
00
11
01
00
10
10
01
10
10
00
11
00
01
10
00
10
10
00
10
01
10
00
10
00
00
01
01
00
01
10
10
01
01
11
00
01
10
11
10
00
00
01
10
10
01
01
10
01
10
00
11
11
10
10
00
00
00
00
00
00
00
00
00
10
10
00
01
11
00
11
01
00
01
00
10
11
01
00
11
10
01
00
01
10
00
00
10
10
00
11
00
10
11
00
10
00
01
10
01
10
11
10
00
01
01
10
00
01
10
00
00
10
10
10
11
10
10
01
10
00
01
11
10
10
00
01
11
10
11
10
00
00
00
11
10
00
00
10
00
11
00
10
00
01
10
01
01
01
01
11
11
11
01
00
01
00
10
00
01
10
11
10
00
11
11
10
10
10
01
11
10
00
10
10
10
00
10
10
00
00
10
10
10
11
00
01
11
01
11
00
10
10
01
00
01
10
10
10
00
00
10
01
00
10
10
01
00
00
00
01
00
10
00
00
00
10
10
01
10
10
10
10
00
00
10
01
10
10
11
01
00
10
11
00
00
00
01
10
00
11
10
11
11
10
10
10
10
01
00
10
10
10
00
00
10
10
10
01
11
00
10
10
00
10
10
00
10
01
10
00
00
00
10
00
01
10
11
01
10
10
10
11
01
11
10
10
00
00
10
11
00
00
11
01
00
00
10
11
00
01
00
00
10
10
00
01
01
10
01
00
10
10
00
10
11
11
00
11
00
10
10
00
00
00
11
10
00
00
00
01
11
00
10
10
00
00
10
00
00
11
00
01
10
11
01
00
10
01
10
10
00
00
00
00
10
10
11
01
00
10
11
10
10
00
00
00
00
00
10
10
00
00
10
11
01
01
11
00
00
01
00
11
00
00
10
01
01
10
10
01
00
00
00
10
11
00
11
10
01
10
00
10
10
10
00
10
11
00
10
00
00
10
10
11
10
10
01
11
11
00
01
11
00
00
00
01
10
10
00
01
10
11
01
10
00
01
10
11
10
00
00
10
00
10
11
01
01
11
11
00
01
00
10
11
10
00
01
10
10
00
01
00
11
01
00
11
11
10
10
00
00
00
10
00
10
11
10
10
00
10
10
10
00
00
10
10
00
10
00
00
10
00
10
10
00
01
10
00
10
01
10
11
00
10
11
10
11
01
10
00
00
10
11
01
00
01
01
00
10
00
10
00
01
10
10
11
11
10
00
10
11
11
00
01
00
00
10
11
11
10
10
00
00
10
10
10
11
00
00
00
10
10
01
00
10
00
00
00
11
00
10
11
10
00
11
10
00
10
10
00
10
11
00
00
00
00
00
00
01
00
10
10
00
11
00
10
11
00
11
11
00
01
11
10
10
00
00
00
11
10
10
10
01
10
10
01
00
00
10
01
10
10
00
10
11
01
10
00
10
01
00
11
10
10
10
11
00
00
11
10
01
11
00
00
00
00
10
01
00
11
10
10
11
11
10
01
00
10
11
10
01
10
00
00
11
11
11
00
00
00
00
10
10
11
01
10
10
10
11
00
10
10
00
10
00
10
00
01
11
00
00
00
00
01
11
11
00
10
00
10
10
00
10
10
10
00
00
11
11
10
10
00
10
11
00
00
10
10
00
00
01
00
00
11
10
10
01
10
10
00
10
00
00
01
11
01
00
00
11
00
10
11
00
00
00
00
10
10
10
11
01
10
01
00
10
00
11
00
10
10
10
10
11
01
00
01
00
01
11
10
11
11
11
10
00
00
00
10
01
00
10
10
00
00
11
01
01
00
10
11
10
11
10
00
10
11
11
00
11
11
00
10
11
00
00
01
11
11
00
01
11
10
00
00
11
01
00
10
11
11
10
11
01
00
01
01
10
00
10
01
10
10
00
01
11
01
00
10
00
00
00
10
10
00
01
10
10
10
10
10
01
10
10
10
00
00
01
10
00
10
10
10
00
11
00
11
10
01
01
10
10
00
11
10
00
10
10
00
11
01
10
10
00
00
11
01
10
10
00
10
11
00
00
10
01
01
10
11
01
00
11
00
11
11
10
01
10
11
00
10
10
00
11
10
00
11
11
10
00
00
00
01
10
10
11
00
00
00
10
00
11
00
00
10
10
00
00
01
11
01
11
01
01
10
10
11
00
01
00
10
10
00
00
10
00
00
01
00
11
10
01
10
00
11
01
11
00
10
10
00
01
10
00
00
10
11
00
11
01
01
00
10
10
11
00
10
10
01
00
01
00
10
10
00
00
10
00
00
10
10
10
10
00
00
10
11
01
11
00
01
00
01
11
01
01
11
10
00
10
11
10
00
00
10
11
10
11
00
11
11
11
11
10
10
00
01
00
10
10
00
01
01
01
00
00
01
11
00
11
10
00
01
11
00
01
10
10
00
00
00
10
11
01
01
01
00
10
10
10
00
00
10
10
10
00
00
10
10
01
00
10
00
11
10
01
10
00
01
10
10
10
00
00
00
10
11
00
10
11
00
01
11
00
11
00
01
10
01
01
00
10
10
00
01
10
01
10
10
00
01
10
11
11
00
01
00
11
00
00
10
10
01
00
10
00
10
10
01
00
00
00
00
11
00
10
10
01
00
00
10
10
00
00
00
01
01
10
01
01
11
01
00
10
01
11
11
11
00
00
10
00
00
00
00
10
11
01
01
00
01
00
10
11
01
11
10
11
00
10
11
10
11
10
00
01
10
10
00
11
10
11
10
00
00
01
10
11
10
00
00
10
11
11
10
00
10
10
01
10
01
10
11
00
10
00
01
01
01
11
01
10
00
11
10
00
11
00
01
00
01
11
11
00
11
00
01
00
10
00
10
01
10
10
00
00
01
11
10
00
10
10
00
10
00
01
00
10
00
00
01
10
01
00
10
01
10
10
00
10
00
00
00
00
10
10
10
11
10
01
01
11
01
10
00
11
11
01
11
10
00
10
00
00
10
11
00
00
10
10
11
00
01
11
00
01
01
00
00
01
10
01
11
10
10
01
01
11
01
01
00
10
11
00
10
11
00
01
01
01
01
00
00
00
10
10
10
11
00
00
11
11
11
00
10
00
10
10
11
00
00
01
00
11
10
00
11
00
00
10
01
00
01
10
00
10
10
00
00
01
11
00
11
10
00
11
00
10
11
00
00
00
10
01
10
10
01
00
10
10
10
00
10
11
00
11
10
01
00
10
00
10
00
00
00
10
10
00
11
10
10
00
01
01
00
11
00
10
10
00
00
10
01
10
10
10
10
11
11
10
00
00
00
00
10
00
11
11
11
00
10
10
00
11
10
00
10
10
00
00
01
10
10
00
01
01
00
00
10
11
00
11
01
01
10
11
11
01
00
10
10
10
00
00
01
10
11
11
01
00
11
10
10
00
00
10
11
10
01
10
10
00
00
01
00
10
10
10
10
00
01
00
10
00
00
11
11
10
00
11
00
01
10
01
11
00
10
00
01
10
00
10
11
00
00
01
10
01
00
01
10
10
00
00
00
11
10
11
00
01
01
10
11
00
00
11
00
00
10
11
00
11
11
10
00
10
11
11
10
10
00
01
11
00
01
11
10
11
00
00
00
00
11
01
10
11
01
10
10
00
00
00
00
10
10
00
11
10
00
00
00
11
00
11
01
10
00
10
10
11
01
11
00
10
10
10
00
00
00
10
10
11
10
00
11
00
00
00
00
10
00
10
11
10
00
11
01
00
10
00
00
10
11
00
00
01
10
01
00
10
11
00
00
00
01
10
10
01
00
10
10
01
11
00
10
00
01
11
00
00
00
10
01
10
11
10
00
10
00
11
11
00
10
10
11
01
00
10
01
10
00
11
00
00
01
00
01
10
11
00
10
10
00
00
11
01
01
01
11
10
10
01
11
00
01
10
01
01
00
00
10
10
00
00
10
10
00
10
10
10
00
00
00
11
00
00
01
01
00
00
11
10
00
01
00
10
00
00
01
00
10
10
00
01
10
10
10
10
01
00
10
01
00
10
01
00
00
01
00
01
00
00
00
10
00
01
00
10
10
01
00
11
10
10
01
10
10
00
00
11
00
00
10
00
00
10
10
10
00
01
00
00
10
01
10
00
01
00
11
11
10
00
00
00
01
01
10
10
01
00
00
01
00
10
11
01
01
00
10
00
11
11
00
00
10
10
10
10
11
10
00
10
10
11
00
10
01
10
10
01
11
10
01
00
00
10
10
00
10
00
00
00
10
00
00
11
00
11
01
10
10
10
11
10
01
01
00
00
10
00
10
01
01
10
01
01
00
10
11
01
00
01
01
11
10
00
00
10
00
01
10
00
00
11
01
00
11
10
00
10
00
11
00
00
10
11
01
10
00
01
01
00
10
00
00
10
10
11
10
10
10
00
00
00
01
10
00
00
00
10
11
01
00
10
11
01
10
00
10
10
00
11
11
00
10
10
01
00
00
10
00
10
11
10
10
00
00
10
10
01
01
11
11
10
00
00
00
10
00
10
01
01
00
10
01
10
00
00
11
01
11
00
00
10
00
11
10
01
01
10
10
10
01
00
10
10
10
00
00
10
11
10
01
00
10
10
10
10
01
00
10
00
10
10
01
01
10
11
10
00
10
00
00
11
01
01
01
11
01
00
01
11
00
01
10
00
01
01
10
11
00
11
10
00
10
10
01
10
11
00
01
10
11
01
10
00
00
11
10
01
00
01
10
10
00
10
11
10
11
01
00
11
00
00
10
00
11
10
00
00
10
10
10
00
10
11
00
10
01
10
10
10
10
01
10
11
00
01
11
00
10
10
11
10
11
01
00
10
10
00
10
00
00
10
10
00
10
00
10
00
10
01
00
10
01
00
11
00
01
10
01
00
01
00
11
10
00
10
11
00
10
11
01
01
10
00
10
10
00
00
10
10
00
00
10
00
11
00
00
11
10
11
11
00
10
00
11
10
01
01
10
00
00
10
10
11
01
00
10
11
00
01
00
10
10
00
10
10
00
11
10
11
01
11
10
01
10
00
01
01
01
10
00
00
00
10
11
11
11
01
00
01
10
00
10
00
01
10
10
00
10
10
00
10
00
00
10
11
00
01
00
00
10
01
11
00
00
11
10
10
00
00
10
10
10
11
01
11
11
11
00
10
01
00
11
10
00
01
01
10
10
10
00
00
10
10
11
11
01
00
00
10
00
00
10
10
00
00
10
00
00
10
10
10
11
00
10
10
00
10
00
10
00
10
11
10
10
00
01
10
00
00
10
10
00
00
11
10
00
10
01
11
01
00
10
11
11
01
11
10
01
00
00
01
10
10
10
10
00
00
01
10
00
00
00
11
01
00
11
00
01
10
11
11
00
00
10
11
10
01
00
00
00
10
00
00
11
10
11
00
11
10
00
10
00
01
00
11
10
00
10
11
00
00
11
11
10
01
01
01
00
10
10
00
01
10
10
10
10
01
00
10
00
10
10
01
00
10
11
11
10
10
11
10
00
00
11
00
00
00
00
00
10
10
10
00
00
10
10
10
01
10
00
11
01
00
00
00
10
10
00
10
10
01
10
00
10
01
10
11
10
11
10
10
01
00
00
11
00
00
00
10
10
10
00
11
00
10
01
11
11
00
01
00
11
00
00
10
00
10
00
01
10
01
00
10
00
01
10
10
00
10
11
00
11
10
00
10
10
10
00
10
00
10
10
11
01
01
10
10
10
10
11
10
00
00
00
01
10
00
00
00
10
11
00
00
10
00
00
00
00
10
10
00
10
00
01
10
11
00
10
01
00
00
10
11
01
10
01
01
10
10
00
11
10
10
00
01
10
01
00
11
01
11
10
01
11
10
11
00
00
11
00
00
10
00
10
10
00
00
00
11
11
00
01
00
10
10
10
00
00
10
11
01
01
10
00
01
10
00
11
00
00
01
11
11
10
01
00
01
10
11
10
10
00
10
11
00
01
11
10
11
00
00
00
01
11
01
00
10
10
00
11
01
00
10
11
00
01
10
11
01
10
11
00
01
10
00
10
01
10
00
10
10
10
10
00
00
01
00
11
10
00
00
11
01
00
10
01
10
01
00
00
00
10
10
10
00
10
01
00
10
00
10
10
00
00
11
10
10
10
00
00
10
11
00
11
10
11
00
00
11
01
11
10
00
01
00
00
11
10
00
10
10
01
01
00
00
11
00
00
01
10
11
00
00
10
01
00
10
01
00
01
10
00
01
00
00
01
10
11
00
00
00
11
11
10
11
00
10
11
01
10
11
01
00
00
00
11
10
01
00
10
00
00
10
10
00
00
00
10
10
10
00
00
11
10
00
01
00
11
11
10
00
10
10
11
11
00
00
10
10
00
10
01
00
00
00
11
00
10
00
00
01
01
10
00
01
01
00
01
11
10
00
00
00
00
11
01
01
10
00
10
10
10
00
01
10
00
00
10
10
00
10
10
11
00
10
11
00
00
11
00
01
00
01
10
00
01
11
11
10
01
00
10
11
10
00
00
10
10
01
00
10
00
00
00
01
10
10
11
00
00
00
10
00
00
01
10
01
11
10
00
00
10
00
00
11
10
00
10
00
10
10
00
00
10
11
11
10
11
00
01
00
00
10
00
00
10
00
10
10
00
11
00
11
11
00
01
00
00
10
10
01
11
00
00
11
00
10
10
00
01
11
10
11
01
01
00
10
11
01
00
11
11
10
01
00
11
10
10
01
10
00
01
11
10
00
01
00
10
10
01
10
11
00
10
10
10
10
01
01
00
10
10
00
10
11
00
10
10
00
01
00
10
11
10
10
00
00
00
00
10
10
01
00
01
10
01
11
10
00
11
01
01
00
11
01
01
11
01
00
11
10
00
10
10
01
00
10
10
01
10
10
01
10
10
01
10
11
10
00
00
10
10
10
11
00
10
10
11
00
11
01
00
01
00
00
11
00
10
10
00
01
11
11
00
11
00
00
10
00
00
00
10
10
10
01
00
11
00
10
00
01
10
11
10
00
00
10
00
00
10
10
10
10
00
00
00
01
11
00
10
10
10
01
00
01
00
11
10
01
10
10
11
10
00
01
10
10
00
10
10
11
10
01
00
00
11
11
00
01
10
00
01
01
10
01
01
10
11
00
10
00
00
11
10
01
01
00
00
00
10
00
10
10
00
10
11
11
01
10
00
10
10
10
01
00
10
10
01
11
01
11
11
10
00
01
10
00
10
11
00
11
11
10
11
00
10
00
10
10
10
11
01
00
10
00
10
00
10
10
10
00
00
10
10
11
10
00
00
01
00
11
01
11
01
01
00
10
11
00
10
11
10
00
00
11
10
01
00
01
01
10
00
11
10
00
01
11
11
10
00
00
10
00
10
10
10
01
00
11
10
00
00
01
00
01
10
10
11
10
10
01
10
10
01
00
10
00
00
10
01
10
10
00
11
00
00
11
10
10
00
10
11
00
01
10
11
10
10
00
00
11
10
11
11
10
00
00
11
00
00
00
00
11
00
00
00
10
10
11
11
00
10
10
11
10
00
01
01
11
11
11
10
10
10
10
00
01
11
10
11
00
11
00
11
10
00
11
00
11
10
00
01
11
00
00
10
10
10
10
00
10
11
11
10
11
10
10
00
00
10
00
01
11
00
00
10
00
11
00
10
01
11
10
10
01
00
10
10
01
00
00
11
10
10
10
01
10
10
01
10
00
01
00
00
10
10
11
10
00
00
10
10
10
00
10
11
10
01
10
00
10
10
00
00
11
10
00
00
10
10
10
00
00
11
10
01
00
01
11
10
01
01
10
00
11
10
00
11
00
00
10
10
10
10
00
10
10
00
10
01
00
10
11
01
00
11
00
10
10
00
01
00
01
10
00
10
00
00
11
11
01
00
10
10
11
11
00
11
00
10
00
11
10
00
10
10
10
11
10
10
11
10
00
01
10
01
01
00
01
00
10
01
11
10
00
00
00
00
01
11
10
10
10
01
10
10
00
01
01
00
11
11
01
00
01
10
10
00
00
11
10
10
00
10
11
11
10
01
01
00
10
00
00
10
00
01
11
10
10
01
00
01
10
11
00
10
01
01
10
11
11
00
01
10
00
11
10
00
00
00
10
00
00
00
10
10
00
01
10
01
00
10
00
10
10
10
00
00
00
00
10
00
00
10
01
11
10
11
11
00
10
00
10
10
00
00
10
00
00
10
10
00
10
01
00
00
10
00
11
01
00
10
01
10
10
01
10
00
00
10
00
01
01
10
01
11
10
01
01
10
10
10
00
10
11
01
11
01
10
01
01
11
00
00
00
00
10
10
00
10
10
00
10
10
10
00
10
01
01
01
00
10
01
10
10
00
01
11
11
00
10
10
00
01
10
00
00
10
10
11
00
01
10
00
00
10
10
00
00
10
11
11
00
01
10
10
01
11
01
10
10
00
00
00
11
01
01
10
00
10
00
01
11
10
11
10
01
00
01
11
10
10
00
00
10
10
01
00
00
01
10
11
00
10
01
00
10
00
10
11
10
00
00
00
11
11
00
10
00
00
00
00
10
00
00
00
10
10
00
10
10
00
00
10
10
00
10
10
01
11
01
00
00
10
11
10
00
10
10
10
10
01
01
00
10
11
11
10
00
00
10
10
01
10
01
11
11
01
11
10
11
00
01
00
10
10
11
01
10
10
00
00
01
11
10
00
00
11
10
10
10
10
10
00
00
10
00
10
11
00
01
01
01
10
11
10
11
01
01
11
11
00
01
01
10
11
11
01
00
10
10
10
01
00
00
01
00
00
10
10
11
10
11
00
01
00
11
01
10
00
01
11
10
10
01
01
11
01
10
10
11
10
00
00
10
00
00
00
11
10
00
11
11
01
11
01
00
10
10
10
10
01
01
00
10
10
10
10
00
00
00
10
10
00
11
00
00
00
00
00
00
00
10
11
01
00
10
01
10
10
00
11
00
00
00
11
00
01
10
00
00
10
00
10
11
00
00
01
11
00
00
10
10
11
00
11
01
11
10
00
00
10
00
01
10
00
00
10
01
10
11
10
10
00
01
10
11
10
01
01
10
00
00
10
10
00
00
11
10
00
11
10
11
00
00
11
10
00
00
00
10
11
10
10
00
00
00
01
10
10
01
00
00
11
00
01
10
00
10
11
11
11
00
00
10
10
00
00
11
11
00
11
01
00
01
00
00
11
10
00
11
10
10
00
00
11
00
00
10
01
11
10
00
00
00
00
01
11
10
01
11
11
01
10
00
00
01
01
00
00
10
00
10
10
00
00
11
00
11
00
01
00
10
00
00
10
11
00
00
10
10
00
11
01
01
11
10
00
10
10
00
10
11
00
00
11
10
10
00
00
00
10
10
10
01
01
00
00
01
10
10
11
00
11
11
10
11
10
00
01
00
00
10
11
00
01
00
01
00
00
00
11
00
10
10
01
00
11
01
01
00
10
01
01
01
11
00
00
10
10
10
10
10
01
10
10
01
11
10
10
00
10
00
00
10
00
01
10
10
00
00
10
10
11
00
11
01
00
11
10
00
00
00
11
00
01
10
00
10
11
00
00
01
10
11
10
01
01
01
10
10
10
01
00
11
00
11
10
00
11
00
01
10
11
10
01
00
11
00
00
00
01
00
01
00
10
10
10
00
10
10
01
01
00
10
11
11
11
00
10
10
00
01
00
00
00
10
11
00
11
11
00
10
10
00
11
10
00
00
00
00
01
11
10
01
10
00
00
00
00
01
00
10
10
00
00
11
01
01
00
01
00
00
10
00
10
10
00
01
01
10
10
10
10
00
01
11
00
10
00
00
00
01
01
00
11
00
01
11
10
00
00
00
10
10
10
11
11
00
10
01
00
01
00
00
11
10
10
00
10
10
11
00
00
01
01
10
10
01
00
10
01
01
10
10
10
01
01
10
10
00
11
10
01
10
01
00
11
00
10
11
11
10
00
10
00
00
10
10
11
10
10
11
10
00
11
01
01
10
10
10
01
10
00
00
01
10
01
01
11
10
10
10
00
11
10
01
00
01
11
00
00
11
10
00
00
00
10
01
00
10
10
01
11
10
10
11
10
10
01
00
10
10
11
11
00
01
10
10
01
00
10
00
00
10
01
10
00
01
00
01
10
00
10
00
01
00
11
11
01
10
10
01
10
01
00
00
00
11
01
10
00
01
00
11
11
00
01
10
01
11
00
01
00
10
10
10
10
00
11
10
00
10
10
10
10
11
00
00
01
00
10
10
11
10
01
10
10
00
00
01
00
11
10
10
00
01
00
00
11
11
11
00
11
00
10
10
10
00
00
11
00
10
11
01
10
11
00
10
01
00
10
11
01
00
01
11
10
10
00
00
00
10
11
10
00
00
00
00
10
00
10
11
10
00
11
11
01
00
01
00
10
11
00
01
11
10
01
01
01
10
11
00
10
10
01
11
10
00
00
10
11
01
11
10
10
00
10
00
11
01
10
10
00
00
00
10
10
11
00
11
10
10
10
11
00
01
10
11
10
01
00
00
00
10
11
00
00
11
01
10
01
00
10
10
00
10
00
10
11
01
00
00
10
10
00
10
00
10
10
01
00
01
00
00
00
01
01
11
10
11
00
01
10
10
00
01
10
11
00
00
11
10
10
00
01
10
10
10
00
11
11
00
00
10
00
11
01
10
11
00
10
01
01
11
01
11
11
00
00
11
00
00
10
01
00
00
00
11
00
10
01
00
10
01
01
10
00
01
10
11
01
11
11
10
10
00
11
11
01
00
10
10
01
01
00
00
01
10
10
01
10
00
00
10
10
10
11
00
10
01
10
00
10
01
00
00
10
10
00
00
10
00
11
10
00
00
01
10
10
00
11
00
00
10
10
10
10
11
10
10
00
00
11
11
01
00
00
00
11
10
10
10
00
01
01
00
10
00
00
10
01
01
10
11
00
10
10
11
11
01
00
10
10
10
11
00
00
11
00
00
11
10
10
10
00
10
11
00
10
00
00
11
11
10
01
11
00
00
00
10
10
10
00
01
10
11
00
10
10
01
10
01
00
11
10
01
01
11
10
00
10
10
00
01
10
10
01
00
00
00
00
10
11
01
01
01
00
00
11
10
00
00
10
10
00
00
10
11
10
00
01
00
00
10
10
01
11
10
00
00
00
00
10
10
10
01
00
00
00
10
11
01
10
10
11
00
11
00
00
10
00
00
11
00
10
00
00
00
10
00
01
11
00
10
00
10
10
10
11
10
00
01
10
00
10
10
00
00
11
10
10
00
10
11
01
11
00
00
10
00
00
00
11
10
01
10
11
00
01
00
00
11
11
11
00
00
01
00
00
00
10
10
00
00
00
00
00
10
00
00
00
10
00
00
10
01
00
00
11
10
01
00
11
10
00
00
10
11
00
10
10
00
00
00
00
11
11
00
00
11
00
00
10
10
00
11
11
11
10
00
10
11
10
00
01
00
11
10
10
01
11
00
01
01
10
00
10
01
00
11
11
00
00
10
10
10
00
00
00
00
10
10
10
00
10
00
00
10
01
01
11
11
10
00
10
01
00
10
11
10
00
11
10
10
01
00
11
10
10
11
00
00
10
00
01
00
11
10
00
10
10
10
01
10
00
11
00
01
10
01
10
11
00
01
00
10
10
01
10
00
00
10
10
10
10
01
10
10
00
10
00
11
10
00
10
10
00
00
01
01
01
00
11
10
00
10
01
11
00
01
00
11
11
00
10
10
10
00
10
10
11
10
10
01
10
10
10
10
00
01
00
11
10
10
11
01
10
11
00
00
01
00
01
11
00
00
00
00
10
11
11
00
10
10
00
10
01
10
00
00
00
10
11
10
01
10
10
00
10
01
10
00
00
01
00
00
10
11
11
11
10
00
10
10
01
00
11
11
00
10
00
01
10
00
01
01
11
11
01
00
10
10
00
00
11
11
10
10
00
00
00
00
00
10
01
10
01
00
10
10
11
10
11
11
01
11
10
10
11
10
01
00
00
10
10
10
00
00
11
00
01
10
01
01
10
11
01
00
10
11
01
00
10
10
11
10
10
00
01
10
11
10
11
10
00
10
00
11
11
00
00
10
00
01
10
10
00
00
10
00
00
10
01
00
01
00
00
10
00
00
11
10
00
10
00
10
10
00
01
00
11
10
10
10
11
01
01
10
10
10
00
01
01
00
11
00
10
00
10
10
11
00
01
11
01
01
00
00
10
01
00
10
10
11
10
00
00
01
00
00
10
11
10
11
10
00
10
10
11
10
11
00
01
11
00
10
10
11
00
10
00
10
11
01
11
11
10
00
01
00
11
01
00
10
11
10
00
00
01
10
10
11
00
01
11
10
10
10
00
00
11
00
01
11
00
10
10
00
00
11
11
10
11
00
00
10
00
00
11
00
00
10
00
11
10
10
10
11
10
01
00
00
00
10
00
00
00
11
00
00
01
00
10
10
10
00
00
10
10
10
00
10
01
00
10
01
00
01
00
11
01
11
11
00
10
10
10
01
10
00
10
10
01
00
00
10
00
11
10
11
11
00
11
11
00
00
01
10
10
10
01
01
10
11
11
00
01
00
10
10
00
00
00
10
10
01
00
10
10
01
01
11
00
01
10
01
11
10
11
01
11
10
00
01
10
00
00
11
11
10
01
00
01
10
10
10
10
10
00
00
10
10
10
00
10
00
11
00
10
11
00
00
00
10
10
00
10
10
10
10
10
11
00
00
11
00
10
00
00
00
10
10
00
10
10
00
10
11
10
00
00
11
00
00
00
11
00
01
11
00
10
10
11
00
10
10
10
10
00
00
01
00
00
11
10
10
00
11
01
01
11
00
00
10
10
11
10
01
01
01
10
10
01
00
11
01
10
10
00
10
11
00
00
10
00
10
11
00
01
10
11
10
10
00
01
01
11
10
00
10
00
00
10
00
00
10
00
10
00
00
11
00
11
10
01
00
00
10
00
11
10
11
00
00
10
00
00
11
11
00
01
11
01
00
11
00
00
11
10
10
00
00
10
00
00
00
00
11
00
01
10
00
00
11
01
00
00
11
00
01
00
10
10
01
01
01
10
10
00
00
11
11
00
01
00
10
10
01
01
10
10
00
11
11
00
01
10
10
10
00
00
01
01
10
01
01
01
10
01
00
00
01
10
10
00
11
10
00
00
10
10
00
00
10
11
00
11
01
00
10
01
11
00
00
11
00
00
11
10
10
10
00
01
10
00
00
00
01
01
00
11
00
01
00
00
11
10
10
10
10
10
00
11
10
01
00
11
01
10
00
00
10
10
00
00
11
01
00
00
11
01
01
10
01
00
10
01
00
11
10
10
00
00
10
01
10
10
00
01
11
00
00
00
10
00
00
11
10
11
10
10
00
10
10
10
01
00
00
00
00
10
10
11
01
00
00
11
10
01
10
00
10
10
11
01
10
11
00
11
10
11
10
00
00
00
01
01
10
10
00
00
00
10
11
10
11
10
01
10
00
00
11
10
01
01
11
11
10
10
11
00
10
10
00
00
01
01
00
10
10
01
00
10
11
00
00
10
00
10
10
01
11
10
11
10
00
11
01
00
10
10
10
01
10
10
00
10
10
00
00
11
10
10
01
11
11
00
00
00
10
11
01
10
10
00
10
10
10
01
10
10
01
00
01
10
00
10
01
11
10
01
10
01
11
00
00
10
11
01
00
10
11
00
01
10
11
11
10
01
01
00
11
11
00
11
01
00
11
01
00
01
10
10
00
01
11
00
01
10
11
00
00
11
00
01
10
10
00
11
10
10
10
01
01
00
01
10
00
10
00
00
01
00
11
11
11
11
01
10
00
00
00
10
10
00
00
10
10
10
00
11
11
10
10
11
00
00
00
11
00
00
00
10
10
01
10
10
00
11
10
00
01
00
10
00
10
10
11
11
01
00
00
10
11
00
01
01
11
10
10
10
00
01
00
11
10
00
00
01
11
00
11
11
01
10
10
10
10
10
00
00
10
10
00
01
10
10
01
00
01
10
11
10
11
11
10
11
00
10
11
01
00
00
10
01
00
11
10
10
10
00
00
11
00
01
10
00
10
10
11
01
00
10
00
10
00
00
10
00
00
11
01
10
00
00
10
10
00
10
10
00
10
11
10
11
00
00
01
00
10
10
01
00
00
10
00
00
10
10
10
00
00
10
01
00
10
00
11
11
00
11
01
00
10
11
00
11
10
00
01
10
00
10
10
10
10
11
00
00
10
00
11
10
00
01
10
10
00
11
11
01
11
11
00
10
00
10
00
01
10
01
00
00
00
00
11
10
01
10
00
00
11
10
01
01
11
10
01
01
11
01
00
11
11
00
00
10
10
00
11
11
00
00
01
10
00
00
10
00
11
10
10
11
11
00
01
11
01
10
00
00
10
00
11
10
10
00
00
00
10
11
10
00
10
11
11
01
00
11
10
01
00
00
01
01
00
00
10
00
00
10
10
10
00
10
11
00
10
00
00
10
01
01
00
11
10
00
10
11
00
01
10
10
00
01
00
10
10
10
01
11
11
00
01
11
01
01
01
01
11
10
01
10
10
00
01
00
10
10
00
10
10
10
01
11
01
10
10
00
00
00
10
00
11
10
00
00
10
01
10
00
11
11
01
00
10
11
00
01
10
11
00
01
10
10
00
00
10
10
10
00
01
10
01
11
10
00
10
11
10
00
10
11
00
11
11
10
10
10
10
00
00
10
10
01
10
01
10
01
11
11
11
01
11
01
10
11
10
01
00
10
10
00
00
11
00
01
01
11
11
10
10
01
00
10
11
01
00
10
10
00
00
10
00
01
00
01
10
10
00
00
10
00
10
11
10
00
10
10
10
01
01
01
00
10
00
00
01
01
00
10
10
01
10
11
11
00
10
10
10
10
10
00
01
11
00
01
10
10
10
10
00
00
00
10
11
10
01
01
00
00
11
00
00
00
10
11
10
00
01
00
01
10
11
00
10
01
00
00
11
11
00
10
11
10
10
01
11
10
01
11
00
00
00
00
11
01
00
00
11
10
10
10
10
10
00
10
10
11
10
11
10
00
10
01
10
00
10
10
00
11
10
01
00
01
10
10
01
11
10
00
01
00
01
10
11
00
01
00
01
11
01
01
11
01
10
10
00
00
00
10
11
00
11
10
10
11
00
10
10
01
01
01
01
00
11
01
00
00
11
10
11
11
00
01
10
11
11
00
01
10
10
10
01
01
10
01
00
00
10
00
10
00
10
00
00
10
11
10
10
01
00
10
10
01
11
11
00
10
10
00
10
10
00
00
11
11
10
00
00
10
00
10
00
10
10
01
00
10
00
10
10
10
00
11
10
00
00
00
00
00
00
11
10
10
00
00
00
00
11
00
11
00
10
00
00
11
00
10
11
10
00
10
00
11
00
00
00
00
11
01
01
11
01
10
00
10
01
10
10
00
00
11
00
00
11
10
10
11
10
00
01
10
01
00
01
01
00
01
00
10
10
10
01
01
10
01
01
11
10
01
00
11
00
00
10
11
11
01
01
10
11
10
10
00
00
10
00
01
11
00
10
11
10
11
10
01
00
01
10
10
11
01
00
00
10
10
10
00
00
00
10
10
01
11
00
01
00
01
01
01
10
01
10
00
00
11
00
00
01
10
00
01
01
10
10
11
11
11
10
00
00
00
00
11
10
00
10
00
00
11
10
11
00
00
10
10
10
11
01
00
10
10
10
10
10
00
10
10
00
10
00
00
11
00
10
10
10
01
11
10
01
01
10
00
11
10
10
00
00
01
10
10
10
11
10
01
01
00
11
00
01
00
10
11
00
00
10
00
00
00
10
11
10
11
01
00
00
10
00
10
10
01
11
11
11
10
00
00
11
01
00
01
10
00
10
10
10
11
01
00
01
10
10
10
00
00
01
10
11
10
11
11
10
10
01
00
00
01
10
01
01
11
00
01
00
00
00
10
11
00
01
10
01
10
00
11
00
00
10
00
11
00
10
11
00
00
00
00
00
00
10
10
01
10
00
01
11
01
00
11
10
01
11
10
00
10
00
10
11
01
00
01
00
01
00
00
00
10
11
00
00
10
10
01
10
00
10
00
01
01
01
10
10
10
00
01
01
10
10
00
00
10
10
00
00
11
00
10
00
00
11
00
01
10
01
01
10
10
11
00
10
10
01
01
01
11
01
11
11
11
00
00
10
11
00
00
00
11
11
10
10
00
10
10
10
01
10
10
00
00
01
01
11
10
01
00
10
10
00
00
10
10
11
10
10
01
10
01
00
00
00
10
10
00
00
10
00
01
11
10
01
11
01
00
00
10
00
11
00
01
11
10
10
00
01
01
00
10
10
10
01
11
00
00
00
00
10
01
10
10
10
10
10
11
01
00
00
00
11
01
00
00
00
01
11
11
10
01
10
00
00
10
01
10
10
01
00
10
00
01
10
01
11
00
00
01
01
10
11
00
10
00
00
10
00
00
10
11
00
00
00
00
10
01
00
11
11
10
10
01
00
10
00
10
10
00
10
00
01
01
10
01
10
00
01
00
10
01
10
11
10
00
10
00
10
10
10
00
01
10
10
10
01
01
11
00
00
00
00
10
11
11
01
11
01
11
10
10
10
00
01
00
00
11
00
11
10
11
00
10
01
01
01
10
11
10
10
01
00
00
10
00
11
10
10
11
00
01
10
10
01
00
10
00
01
00
00
00
11
10
10
11
00
10
00
10
11
00
00
01
10
01
00
00
00
00
11
10
00
00
11
10
00
00
01
00
10
10
01
10
11
11
10
00
11
10
00
01
10
01
00
11
11
01
01
10
00
10
10
00
10
10
01
10
00
00
00
00
10
00
00
11
11
11
00
00
10
10
11
11
00
00
11
10
00
10
10
00
00
01
00
00
10
10
00
11
00
11
00
11
10
00
10
10
10
01
10
10
11
01
11
01
10
10
00
00
10
11
10
01
11
11
10
10
10
10
01
00
00
11
00
01
00
00
00
10
00
10
11
00
00
11
00
01
10
10
10
11
00
11
11
00
11
10
01
01
01
11
00
00
00
10
11
00
00
00
00
10
00
10
11
10
00
10
00
00
10
00
01
00
11
00
01
11
10
01
01
10
01
10
10
00
01
10
00
11
10
00
00
10
01
10
11
10
10
00
10
10
01
01
10
11
00
00
00
01
10
10
00
01
11
10
01
10
11
10
10
00
10
01
10
10
00
00
10
10
00
01
00
10
10
10
10
11
10
01
00
10
10
00
10
00
00
10
10
01
10
10
00
00
01
10
01
11
00
10
00
11
00
00
10
00
00
10
10
10
00
11
10
10
00
00
00
01
10
10
10
11
00
11
11
10
00
01
00
01
01
10
01
10
00
00
00
10
11
00
01
10
00
10
00
00
11
11
01
00
00
00
10
00
10
00
00
01
10
01
11
10
11
01
11
00
00
11
00
01
10
10
01
11
00
01
10
11
00
00
11
00
11
11
00
10
00
11
00
00
10
10
01
00
01
00
10
01
10
01
01
01
11
01
00
10
01
00
10
10
00
00
00
00
11
00
10
10
00
11
10
00
00
11
11
00
00
00
00
11
10
00
10
00
00
11
10
11
11
10
01
10
10
11
00
00
11
10
01
10
10
00
00
11
10
10
00
10
01
01
10
10
00
01
01
10
00
10
10
00
00
00
11
00
00
01
11
01
00
00
10
10
11
10
01
00
00
10
00
10
11
11
00
10
00
01
00
10
01
00
00
10
00
00
11
11
01
00
00
00
10
11
00
00
10
11
10
11
00
10
10
01
10
01
00
10
10
10
00
01
00
11
10
01
11
11
11
01
10
10
01
01
00
10
11
00
10
11
00
10
01
01
11
11
11
00
10
10
10
11
00
00
00
10
00
10
10
10
11
01
11
00
00
00
10
01
10
10
00
11
10
10
10
00
00
00
10
01
10
00
00
10
10
00
00
10
10
10
11
01
00
10
10
11
00
01
00
00
11
10
00
01
11
11
11
01
00
11
11
10
00
00
10
11
01
00
01
01
00
11
00
00
00
10
10
10
00
01
00
01
01
10
00
11
10
00
00
10
10
01
10
10
10
00
00
10
01
00
10
10
01
10
10
10
00
00
10
11
00
10
00
00
10
00
11
10
01
10
11
11
00
10
10
11
01
10
10
10
01
01
10
10
00
00
10
00
10
11
00
01
10
00
00
11
01
01
11
10
10
10
00
01
10
10
00
00
00
11
10
00
00
10
01
00
10
10
00
01
10
10
11
00
11
00
11
10
00
00
10
10
00
00
10
00
10
11
00
01
00
00
10
01
00
11
00
00
00
01
00
00
00
11
10
10
00
00
01
00
00
10
10
00
11
10
00
10
11
11
00
10
10
11
10
01
01
00
11
01
00
01
00
01
10
00
10
11
01
00
11
10
11
10
00
01
00
10
10
11
00
00
10
00
10
10
11
10
10
01
01
00
11
10
10
10
00
10
00
10
10
00
10
11
00
11
10
11
01
01
10
11
01
00
10
10
00
00
10
01
11
10
00
00
10
10
00
00
01
10
01
10
10
11
10
01
10
10
00
10
01
00
11
10
01
01
01
01
10
01
01
11
10
11
10
01
10
10
01
00
00
10
01
00
00
10
10
00
01
10
00
11
11
10
01
01
11
00
00
10
01
10
11
00
10
10
00
11
00
10
10
10
10
00
01
00
01
10
00
00
11
10
01
10
00
01
10
00
01
00
11
10
10
11
10
10
00
10
11
01
10
00
01
00
10
00
10
00
00
10
10
01
00
11
00
10
00
10
01
00
10
11
00
00
10
00
10
10
00
00
00
10
11
11
11
11
11
01
01
10
01
00
10
00
00
01
10
10
01
00
01
01
00
10
10
11
01
00
00
00
00
10
00
00
11
11
00
11
00
00
10
00
01
01
10
10
10
00
10
01
10
10
10
10
00
00
00
10
00
10
10
11
10
01
00
11
00
10
00
01
01
10
10
01
00
01
10
00
00
00
11
10
00
00
00
00
00
00
11
00
00
01
00
11
00
01
01
11
00
10
10
01
10
11
00
01
01
10
11
10
10
00
11
00
00
11
10
10
00
11
10
01
10
01
00
10
01
10
11
00
10
10
00
00
10
00
00
00
10
11
00
10
10
00
00
00
10
10
10
01
00
00
00
01
01
10
00
01
10
10
00
01
11
10
01
01
00
10
01
10
10
11
00
10
00
01
10
10
00
00
00
00
01
10
01
00
11
01
10
10
10
10
00
00
11
10
10
00
10
11
10
11
00
00
10
01
11
00
00
10
11
00
10
01
10
00
00
10
01
00
10
00
11
10
00
11
10
00
00
00
10
10
00
10
00
00
01
11
00
11
01
11
11
00
11
00
10
11
01
00
01
10
10
01
10
10
00
01
10
00
00
10
10
10
10
11
00
10
10
10
01
11
10
11
00
00
00
01
11
01
00
10
00
11
00
00
10
11
11
01
00
10
10
00
10
10
00
00
10
00
00
10
01
00
11
00
11
10
01
10
01
00
00
10
10
11
10
11
00
10
11
00
10
10
00
10
00
10
01
01
11
11
00
10
10
00
01
00
10
10
01
11
01
00
11
01
11
10
00
00
10
10
10
10
00
01
01
11
00
00
00
00
10
01
10
10
01
01
10
00
11
10
10
00
00
01
00
00
11
10
01
10
11
01
11
11
00
00
10
11
10
01
00
00
10
00
10
10
10
11
11
10
00
01
00
00
10
11
10
00
10
10
01
11
11
10
00
01
10
10
10
10
00
10
11
00
10
11
00
11
00
11
10
11
01
01
11
10
00
10
00
10
00
01
10
10
01
00
10
01
00
01
00
00
11
00
01
01
10
00
01
10
10
11
11
01
00
10
00
10
10
00
10
10
10
00
01
00
00
01
00
01
01
00
11
10
00
00
11
10
10
00
00
10
01
01
01
00
10
00
00
11
01
10
10
01
00
10
00
00
00
11
11
00
11
10
00
01
01
11
10
01
01
00
01
11
00
00
10
10
11
10
01
00
00
10
10
01
10
11
00
00
01
01
10
10
10
01
10
11
01
01
11
00
10
11
00
01
01
10
10
11
00
00
00
11
10
10
10
00
01
00
10
11
10
00
10
10
11
01
01
00
10
10
00
01
10
00
00
00
00
10
01
00
11
10
11
11
10
01
01
11
01
01
01
10
11
10
00
00
10
10
00
00
10
10
00
00
01
00
11
00
01
10
00
00
10
11
10
10
00
00
00
00
11
00
10
10
10
01
10
10
00
00
10
01
10
11
10
10
01
01
00
11
00
00
00
11
11
11
00
00
11
10
10
10
10
00
10
10
01
10
10
10
10
01
10
10
00
01
11
01
10
10
10
10
10
11
00
01
10
00
01
10
00
01
11
10
01
01
10
00
10
11
10
11
10
00
00
10
00
10
01
00
11
10
10
11
11
11
00
00
00
11
11
10
01
01
01
11
01
00
10
00
00
10
10
00
00
11
01
11
00
00
01
11
01
00
11
10
00
01
10
11
00
00
00
10
00
10
10
01
01
10
00
00
01
00
00
10
10
10
00
10
00
01
11
01
01
00
01
00
00
11
10
00
10
00
00
00
10
10
11
00
10
11
11
00
00
01
10
10
00
00
01
00
10
11
00
10
01
10
10
10
00
00
10
11
10
00
01
01
01
00
10
10
00
11
11
10
00
00
00
10
01
00
10
11
10
01
11
10
00
11
10
00
00
10
00
11
10
00
01
00
11
01
01
10
11
11
00
00
10
10
10
00
01
10
01
00
11
10
00
00
01
10
10
00
10
10
10
10
10
00
10
10
10
00
01
00
00
00
00
10
01
11
11
00
01
00
10
11
10
01
01
10
00
10
00
10
00
00
10
11
00
01
01
10
10
10
00
01
01
10
10
00
10
11
00
01
10
10
00
10
00
10
01
00
01
10
00
01
11
01
00
01
10
00
00
00
01
10
10
10
00
00
00
01
00
11
00
10
00
10
10
10
00
10
11
10
11
10
01
00
01
10
00
00
10
01
01
10
10
11
10
01
10
10
00
01
10
00
11
11
10
11
00
00
00
00
10
00
11
10
10
00
11
11
11
00
01
11
01
00
11
00
01
00
10
11
00
10
10
00
10
10
00
00
11
11
10
00
01
01
10
10
10
00
01
10
00
01
10
11
01
10
00
10
00
10
10
00
01
01
00
00
01
00
01
01
10
10
00
10
10
00
01
11
11
10
00
00
11
00
01
10
11
01
00
01
11
10
10
10
00
00
00
11
00
01
10
10
10
01
00
11
10
11
11
01
01
10
10
00
10
10
10
01
00
10
10
10
10
11
11
11
10
00
00
11
00
10
10
01
00
10
10
00
00
10
01
00
10
10
00
00
11
00
10
01
00
00
00
00
00
11
01
00
10
11
11
00
11
10
00
00
11
11
00
10
00
10
11
10
00
00
11
00
11
10
00
00
11
10
00
11
10
10
10
10
01
11
00
00
01
11
00
01
00
11
10
00
01
10
00
10
10
00
00
11
10
10
01
10
11
01
01
10
10
10
01
00
00
00
10
10
01
01
11
00
01
00
00
11
11
10
00
10
01
10
01
10
10
00
10
00
00
11
10
10
11
01
10
01
01
11
00
00
01
00
00
10
10
01
00
11
10
11
00
00
10
00
00
10
10
10
01
11
10
01
00
10
11
00
01
11
01
00
00
10
00
10
11
00
01
01
11
10
10
10
00
00
11
10
00
00
00
00
11
00
10
10
00
01
10
01
01
10
00
10
11
00
10
10
01
00
00
10
10
10
01
00
11
00
01
11
10
11
11
00
00
00
10
01
00
11
00
00
10
01
00
01
10
10
10
11
00
01
10
10
10
01
10
11
10
00
00
10
10
01
11
11
00
00
11
10
00
11
11
00
00
00
00
00
10
10
10
10
00
10
01
01
10
10
01
10
01
10
01
00
01
10
10
10
00
00
11
11
00
11
11
01
01
01
11
01
00
10
11
10
00
00
01
01
11
11
11
00
00
10
00
10
10
10
00
01
10
00
00
00
10
00
11
00
10
00
10
00
00
00
11
11
01
00
10
11
10
11
01
01
11
10
01
10
00
00
10
10
01
10
10
00
00
10
00
10
01
00
11
00
00
10
00
10
10
10
10
10
00
00
00
01
01
10
10
01
00
11
00
00
10
01
11
00
11
10
10
01
00
11
11
00
00
00
10
11
10
01
11
10
01
10
01
10
00
00
00
00
11
10
10
01
10
10
01
00
10
10
10
10
11
00
00
00
11
01
01
01
01
00
11
00
00
10
00
00
01
10
10
10
10
00
10
10
00
00
00
01
11
11
10
11
00
10
10
00
10
11
10
01
00
10
11
00
01
10
10
00
01
01
01
11
10
10
11
00
01
00
11
11
10
10
00
01
10
01
11
11
10
00
01
00
11
11
10
00
00
00
00
11
10
00
10
10
10
11
00
00
00
10
10
01
10
10
00
11
00
00
00
11
11
00
00
00
00
10
10
10
11
01
10
11
00
10
11
10
00
00
10
10
00
10
10
11
00
00
01
11
00
01
01
10
00
10
10
00
10
10
01
10
01
10
01
10
00
11
00
11
10
10
10
10
00
10
01
11
10
10
10
01
10
11
00
10
11
00
10
10
10
01
00
10
01
01
10
10
10
10
10
00
00
11
00
10
01
10
01
00
11
00
11
00
00
00
10
00
10
01
01
01
00
10
00
10
10
10
10
01
01
01
00
10
11
01
00
11
10
00
00
10
01
00
01
11
10
00
00
01
10
01
01
10
11
01
00
00
10
11
11
10
01
00
10
10
11
00
11
10
00
10
10
11
11
01
00
10
11
11
00
11
00
00
01
10
10
00
10
10
00
10
00
10
11
00
10
00
01
10
01
11
11
11
00
01
00
10
10
00
00
11
10
01
00
10
00
10
00
11
00
00
01
00
10
10
00
01
00
10
11
00
10
10
00
01
00
11
00
10
00
11
10
00
00
10
10
10
10
11
00
01
00
00
10
00
10
10
11
00
11
01
10
01
10
10
11
00
00
11
10
00
00
00
11
01
00
11
10
00
10
00
10
10
00
01
01
10
01
10
00
00
10
00
10
10
00
10
10
00
00
11
00
00
11
10
10
10
00
00
01
10
00
10
01
00
11
01
01
00
00
10
10
10
01
00
11
00
10
11
01
10
10
10
01
11
00
10
00
00
10
10
10
10
00
00
01
11
10
10
10
11
01
11
00
10
00
11
00
11
11
01
11
11
00
11
01
10
00
01
10
10
00
10
00
11
10
10
00
00
00
00
00
01
00
11
10
01
10
00
00
10
00
00
00
11
00
10
00
10
00
01
00
10
00
00
01
01
10
11
00
00
00
10
10
00
00
10
00
00
11
10
10
11
01
00
00
00
10
00
10
00
11
11
10
00
00
10
11
11
00
10
00
10
00
11
00
11
10
10
00
10
00
10
00
00
00
11
10
01
00
01
10
00
10
10
11
01
11
10
00
11
10
00
01
10
00
00
11
10
01
10
10
11
11
10
00
11
11
11
10
00
00
10
10
00
00
10
11
01
10
01
01
01
11
01
00
10
10
00
00
10
10
01
10
01
01
01
11
11
00
00
00
10
10
01
00
10
10
00
01
10
10
00
01
00
00
10
00
00
10
10
00
00
10
10
10
00
00
10
11
10
10
10
10
00
00
00
11
10
11
00
00
01
10
00
00
01
00
10
11
10
00
10
01
00
00
10
01
01
00
10
10
00
01
10
11
01
11
11
01
00
00
01
10
11
00
01
10
11
10
01
10
00
00
10
00
10
00
00
01
01
01
10
10
00
10
00
11
00
00
00
00
10
00
10
00
10
10
00
00
10
11
11
11
01
00
00
00
10
10
00
01
10
00
11
10
11
00
00
10
11
01
01
11
00
10
10
00
11
00
00
01
10
10
00
11
11
00
10
11
10
01
00
00
10
10
01
11
10
00
01
10
10
00
01
10
00
11
00
00
10
10
00
00
10
11
00
10
10
00
00
11
01
01
01
00
11
10
11
01
00
10
00
01
11
00
10
10
00
11
00
01
00
11
10
10
01
01
00
01
11
10
00
01
10
11
00
01
10
11
10
00
00
10
00
00
01
10
00
00
11
11
10
11
01
10
01
00
11
11
00
00
11
01
10
10
01
00
00
00
11
11
01
00
10
00
11
00
11
10
00
00
11
00
00
11
11
01
00
11
11
10
10
00
00
01
10
00
00
10
10
01
00
01
00
00
10
10
10
10
11
00
01
11
11
00
11
10
00
10
10
00
10
11
00
00
10
00
01
10
11
00
11
11
10
10
01
00
00
00
01
10
10
01
00
10
10
01
00
10
10
10
10
11
00
00
10
00
10
10
11
00
00
00
10
10
10
00
00
01
10
01
10
00
00
01
10
10
11
10
10
00
00
01
10
10
00
01
11
10
11
10
00
01
11
00
11
11
00
10
10
00
10
00
00
11
11
11
10
00
00
10
00
01
01
11
11
10
11
00
00
00
10
10
00
00
10
11
10
11
11
00
10
00
11
11
10
00
01
11
00
10
10
11
10
10
10
10
11
10
00
00
01
10
00
10
00
11
10
00
11
00
10
00
10
11
11
01
01
10
11
00
00
11
10
00
00
10
01
00
11
00
11
10
00
10
11
00
00
00
10
11
11
11
01
00
11
11
10
00
10
11
00
10
00
01
10
10
10
10
00
00
11
10
11
00
00
01
00
00
10
00
10
01
00
11
11
10
00
10
10
00
11
10
00
00
10
00
10
10
10
11
11
01
01
01
01
00
01
10
11
00
11
10
00
01
10
11
00
00
10
00
00
10
11
10
01
00
10
00
00
10
01
01
10
01
00
11
11
00
11
11
01
01
00
00
10
01
10
11
00
00
10
10
10
10
11
00
00
00
01
00
11
00
00
10
01
10
11
10
00
00
01
10
10
11
00
10
01
10
10
10
01
00
00
00
10
00
10
01
00
01
11
10
00
00
01
10
10
10
00
01
10
10
00
00
11
10
00
10
10
00
00
10
11
10
01
00
01
00
00
00
11
10
01
10
10
11
10
10
00
00
00
10
10
11
00
00
11
10
00
01
00
00
00
10
11
01
10
01
11
11
00
00
00
11
00
00
11
10
10
00
01
11
00
01
10
10
00
11
11
00
01
00
01
10
00
00
11
00
11
10
00
01
00
01
10
00
00
00
10
01
10
00
10
00
00
00
11
10
10
10
00
10
10
00
00
00
00
10
10
11
10
11
01
00
01
11
10
00
00
11
00
00
10
10
01
00
10
10
11
01
11
10
01
01
00
00
10
00
01
00
11
10
00
01
10
10
00
01
10
00
00
10
11
00
10
00
11
00
10
00
00
10
10
10
00
10
10
10
10
00
10
00
11
10
11
10
00
00
01
10
10
01
11
10
10
00
01
01
01
01
01
11
10
11
00
01
10
10
00
00
11
10
10
11
00
10
00
00
10
00
00
11
11
01
10
11
01
11
01
00
00
00
10
10
01
10
10
10
00
10
00
01
01
00
10
11
10
00
00
10
01
00
11
10
11
10
10
10
00
00
10
00
00
11
10
01
10
00
01
11
10
00
00
10
11
10
00
00
11
01
00
01
00
00
10
10
10
00
11
10
11
11
11
10
10
00
11
01
01
11
10
00
10
10
10
01
10
00
11
10
01
11
01
11
11
00
00
01
10
11
01
00
11
11
11
00
00
10
10
01
00
00
00
10
00
01
00
11
11
01
10
01
01
00
10
10
10
10
00
01
00
00
10
10
00
00
11
10
10
00
10
10
00
11
00
10
00
00
01
10
00
11
10
10
10
10
10
00
00
00
01
11
00
01
01
10
00
11
01
00
11
01
10
10
00
10
10
10
10
00
00
00
01
11
01
10
00
10
01
10
01
11
01
00
00
00
00
00
01
00
10
01
11
11
10
01
00
00
10
10
00
01
10
10
10
10
01
00
10
01
00
01
00
11
01
00
11
10
01
01
10
10
10
11
00
01
10
00
01
01
00
10
00
10
00
01
10
00
00
10
10
10
00
10
10
00
00
01
01
10
10
11
01
10
11
01
00
00
10
00
10
00
00
10
00
10
10
00
10
11
00
10
10
00
00
01
10
10
00
00
11
11
01
10
01
10
10
00
00
00
11
10
01
11
00
11
11
10
00
01
11
11
01
10
10
00
00
11
10
10
00
10
01
00
10
10
10
01
00
00
10
11
00
00
10
01
11
01
00
11
11
10
01
01
01
11
00
00
10
00
01
00
11
10
10
10
00
00
10
10
00
00
10
11
10
00
10
10
01
10
11
01
10
00
00
00
01
10
10
01
01
10
01
00
10
11
10
01
10
10
10
10
01
11
10
00
10
00
11
11
10
01
10
00
10
01
01
10
10
00
00
10
10
00
00
11
11
10
01
10
10
10
00
00
10
10
00
00
11
10
11
00
11
00
10
10
00
00
10
01
11
10
01
10
00
10
00
00
11
10
00
10
10
10
10
01
00
10
11
10
11
00
11
00
10
01
10
11
00
00
10
10
00
10
10
01
00
00
10
00
00
11
00
00
01
10
11
10
01
01
00
10
10
00
10
01
00
10
10
10
10
10
10
00
00
11
01
00
01
11
11
00
00
01
00
11
10
01
00
10
01
11
11
01
00
10
11
00
01
01
11
11
00
10
00
10
00
01
10
10
10
11
01
00
10
00
10
10
11
01
10
00
01
10
10
10
00
01
11
10
01
00
11
00
10
11
10
10
00
11
11
10
10
01
00
10
10
00
00
01
00
10
00
00
00
10
10
01
00
11
00
01
11
11
10
11
00
00
10
00
10
10
10
10
01
01
11
01
00
10
01
10
11
00
00
11
10
01
00
01
11
10
11
10
10
10
10
01
00
01
10
01
01
00
00
10
10
11
00
00
00
10
10
10
00
00
11
11
01
10
00
10
01
00
11
00
00
10
00
00
00
00
11
00
00
00
01
01
00
11
01
11
10
10
11
00
11
00
10
10
10
01
10
00
01
00
00
00
10
10
11
01
10
01
10
00
10
11
01
01
01
10
00
10
10
01
01
10
01
00
10
01
01
10
10
10
00
00
00
10
00
00
10
00
10
11
00
00
11
00
11
10
10
01
10
11
00
00
00
01
11
01
00
11
10
00
10
00
01
00
11
11
00
11
01
00
00
10
10
10
10
01
00
11
11
00
10
10
00
00
10
11
00
00
10
01
01
01
00
10
00
01
11
10
10
01
10
10
01
10
10
01
00
00
00
10
11
00
01
00
11
11
01
00
11
00
00
00
11
11
01
00
10
01
10
10
00
00
10
10
00
01
00
01
11
00
00
01
11
10
00
00
00
10
00
00
10
11
10
10
01
11
10
01
10
11
11
00
01
00
00
11
00
10
11
10
00
00
00
00
10
10
10
01
01
00
11
00
00
10
10
01
00
00
10
10
00
00
00
10
00
01
00
00
10
10
01
11
00
00
11
10
00
10
11
11
10
10
00
00
10
00
00
01
01
10
10
10
01
00
10
11
10
10
01
00
11
10
01
01
10
11
10
00
00
11
01
00
11
10
00
00
10
10
10
00
01
01
00
00
01
10
10
11
10
00
00
00
10
00
00
00
10
00
10
10
00
10
11
11
11
00
00
01
11
00
01
01
10
11
00
10
11
00
01
01
00
10
00
11
10
01
00
01
01
10
10
10
00
10
10
01
01
11
00
00
00
10
10
10
10
00
00
10
00
10
11
01
00
01
01
01
00
01
01
00
10
10
01
00
10
10
00
00
10
01
00
01
11
00
01
10
11
01
10
11
10
00
01
00
10
00
00
10
10
00
01
10
00
10
10
01
00
11
11
00
11
10
01
10
10
01
10
01
01
00
00
00
00
00
10
10
10
10
01
00
10
00
10
01
10
11
01
01
10
00
00
00
11
10
11
10
01
01
11
00
00
10
10
00
00
01
11
10
00
10
00
00
01
11
10
10
10
10
10
00
00
11
10
00
11
00
00
10
00
01
00
11
00
00
10
10
01
10
11
00
00
01
11
01
10
10
00
00
10
00
01
11
10
11
01
00
00
10
10
10
00
00
00
11
00
10
00
00
10
01
00
00
01
11
10
00
10
01
01
00
01
10
00
10
10
00
00
11
11
00
10
00
10
10
00
01
00
11
00
00
10
00
11
00
11
10
00
00
00
00
10
10
00
01
00
10
01
11
00
00
10
00
11
10
10
11
00
10
00
00
11
10
01
00
00
10
10
00
01
01
10
01
10
00
10
00
01
01
10
00
10
11
10
11
11
10
00
11
00
10
10
00
00
01
01
00
10
01
00
00
10
10
10
10
01
10
10
10
01
00
11
10
10
01
01
00
00
10
10
10
10
11
00
11
00
00
11
10
10
01
00
11
10
00
00
01
10
10
11
10
11
00
10
00
10
10
11
00
00
01
01
10
01
10
01
01
00
00
10
01
11
10
01
00
11
11
00
00
00
10
10
10
00
10
01
11
11
01
10
10
10
11
10
00
00
00
10
00
01
10
11
00
00
10
10
10
10
11
00
00
10
00
11
00
10
10
10
10
10
00
00
01
00
11
11
00
10
00
01
11
10
01
01
00
11
10
00
01
01
11
00
01
00
10
11
00
10
10
00
10
00
10
11
01
00
10
00
10
00
11
10
00
11
10
11
01
00
10
11
11
01
11
01
00
10
00
00
10
11
10
01
00
11
01
11
10
10
01
00
11
11
11
01
10
00
01
10
00
10
11
00
01
10
00
00
10
00
10
00
00
10
11
00
00
00
00
00
01
01
01
10
10
10
01
10
00
10
01
10
01
11
10
00
10
01
10
10
00
00
10
01
01
10
00
11
01
00
00
00
10
11
11
01
11
11
00
11
10
00
00
00
10
10
00
00
10
10
01
11
11
10
11
11
01
01
11
00
11
10
01
11
10
00
10
11
00
10
10
10
10
00
00
00
01
00
10
01
10
11
10
00
00
00
00
10
00
00
10
10
10
10
10
10
00
00
00
10
10
10
11
10
10
00
00
00
00
00
11
11
01
01
00
10
10
10
00
10
01
00
10
11
10
11
10
01
10
00
00
00
00
11
10
01
10
10
00
01
00
10
00
00
00
00
01
10
11
11
11
10
11
00
01
11
10
11
00
01
00
10
10
10
11
00
00
10
10
10
10
00
01
10
01
11
01
10
10
00
10
10
01
00
00
01
10
10
00
00
10
10
00
10
00
10
11
10
01
11
10
10
00
10
11
10
00
00
10
11
00
11
11
10
00
11
11
00
10
10
00
10
00
00
00
10
10
00
10
10
00
10
11
11
00
10
01
01
00
00
00
00
10
01
00
10
10
01
01
01
10
10
11
00
01
00
00
01
01
11
10
00
00
00
00
10
00
00
10
10
00
01
11
11
10
00
10
00
01
10
00
01
10
11
10
01
10
01
00
01
00
01
10
10
11
11
00
00
01
10
01
11
10
00
10
10
01
01
11
10
00
10
11
00
10
11
00
10
10
01
01
10
00
10
10
00
10
00
01
10
00
10
00
01
00
01
10
00
01
10
10
01
01
11
11
01
00
10
10
10
00
00
10
11
00
10
01
10
01
00
10
10
11
10
10
00
00
00
10
00
00
10
10
00
00
00
00
00
00
00
10
10
01
10
11
11
11
00
11
10
00
10
10
10
00
11
11
00
01
11
11
00
10
10
10
00
00
11
01
01
10
10
00
00
11
00
00
10
00
01
01
10
10
01
00
10
11
10
10
11
00
11
10
00
01
00
00
00
00
10
00
01
10
10
00
00
10
11
10
00
00
11
01
11
11
10
00
00
10
01
00
10
11
00
11
10
00
00
01
10
10
00
00
11
00
10
10
10
10
00
10
01
10
10
10
11
00
01
10
00
11
10
01
10
01
01
00
11
10
01
00
10
10
01
10
11
10
00
11
00
10
00
00
11
10
10
01
11
11
00
10
10
11
00
00
01
11
11
10
01
10
00
01
00
10
10
10
10
00
00
01
11
11
01
00
00
10
00
11
10
01
00
11
11
00
11
00
10
10
00
10
01
00
11
00
00
00
11
10
01
10
01
10
00
11
11
01
11
01
10
01
00
10
01
11
11
11
10
01
11
01
00
11
11
00
01
11
10
01
00
10
00
10
10
00
00
00
00
11
00
01
10
00
10
10
11
01
11
01
11
00
00
00
00
00
10
10
00
01
10
10
10
11
00
00
01
00
11
00
10
10
10
00
00
00
11
10
11
00
11
00
10
00
00
01
01
01
01
01
10
11
11
11
10
00
00
00
11
10
00
01
00
10
10
01
01
10
00
00
11
11
00
10
00
01
10
00
00
00
10
01
00
11
00
01
10
11
01
00
11
10
10
10
00
01
11
11
00
00
00
00
10
10
11
10
00
00
11
01
10
10
00
11
00
00
11
10
01
11
00
10
01
00
01
00
10
10
00
00
00
01
00
10
01
00
11
11
00
00
00
00
11
11
01
10
10
10
10
11
00
00
10
10
00
01
01
10
00
10
10
10
00
00
00
00
11
01
10
10
10
00
10
11
10
00
10
00
00
00
11
10
01
00
00
01
00
00
10
00
00
00
10
11
00
01
00
00
10
11
01
00
01
10
10
00
01
11
01
00
10
10
01
00
00
01
10
10
01
00
01
00
10
10
11
01
00
10
00
10
00
11
10
00
10
00
11
00
01
10
10
11
01
00
10
10
01
00
00
00
10
00
01
10
01
01
11
11
00
11
00
01
11
10
00
01
10
10
10
00
11
10
01
10
01
10
00
10
11
01
00
00
10
01
00
00
10
00
01
00
10
00
11
10
10
00
00
00
01
10
10
10
10
10
00
00
00
00
10
10
01
00
11
00
00
10
00
10
00
00
11
11
00
10
00
11
01
10
10
00
11
00
01
11
00
01
10
00
00
10
11
10
11
00
10
00
01
00
10
01
00
10
00
11
10
00
11
10
10
01
11
10
00
10
00
10
10
00
00
11
10
10
01
11
00
01
01
10
01
10
11
10
10
00
00
10
10
11
00
01
10
10
10
11
11
00
11
10
10
00
01
11
00
00
10
10
00
11
01
00
00
11
00
10
11
00
11
00
01
00
00
00
10
00
00
01
11
10
01
10
00
10
00
00
10
00
00
10
10
00
10
10
11
00
00
11
01
10
10
10
10
01
10
00
11
10
00
10
00
10
10
10
10
00
00
10
10
00
01
10
01
11
00
01
11
11
01
00
01
00
01
11
10
11
00
01
10
11
00
00
10
11
00
00
00
01
01
00
11
10
01
10
10
00
10
10
01
01
10
01
00
10
00
10
00
10
10
01
10
10
10
10
01
00
00
11
00
00
10
10
10
00
10
01
11
10
10
01
10
00
00
00
01
11
10
11
11
00
01
10
10
00
10
10
10
10
01
11
00
10
10
00
01
00
11
00
00
00
01
10
00
00
10
00
00
00
10
11
10
00
01
01
01
00
00
10
10
11
10
00
00
10
10
10
11
00
10
10
00
10
11
10
00
01
10
00
10
01
01
10
10
00
11
01
10
00
00
00
00
11
11
00
11
10
00
10
11
01
00
10
10
11
10
00
00
10
00
10
00
01
10
11
10
10
00
00
00
11
00
00
10
00
10
11
10
00
00
00
01
00
10
11
10
00
10
00
00
11
11
00
01
10
10
10
11
01
10
10
00
10
10
00
10
10
10
10
01
00
10
01
10
10
10
01
00
00
10
10
00
00
00
11
10
01
00
00
10
10
00
10
10
10
00
00
00
10
10
00
10
11
01
10
10
10
00
00
00
10
01
11
00
00
11
11
00
00
10
11
10
11
01
10
00
10
11
10
00
00
00
11
10
00
01
01
10
01
10
00
01
01
00
11
01
01
11
10
01
10
00
01
11
11
01
10
11
01
10
10
00
00
10
11
00
11
11
01
00
01
10
01
01
00
01
11
10
10
00
00
01
10
00
11
11
00
11
01
01
10
00
00
10
10
00
10
11
01
10
10
01
10
00
01
01
00
01
10
11
01
00
10
00
01
10
11
01
11
10
10
00
00
00
10
10
00
10
00
00
00
01
11
11
10
00
10
10
00
00
00
00
11
10
11
11
01
00
01
00
00
10
10
10
00
11
11
00
11
10
11
00
11
00
00
10
10
11
01
00
10
01
01
00
00
01
10
00
00
10
00
01
11
10
00
00
10
00
10
10
00
10
10
00
10
00
10
10
00
01
00
11
10
10
01
10
00
01
11
00
00
00
10
10
10
01
11
10
01
10
00
10
00
00
00
10
10
10
10
01
00
11
00
11
11
11
11
00
11
10
11
10
00
00
10
00
00
00
10
00
01
00
00
10
00
00
00
10
10
10
00
00
00
11
10
00
10
10
00
10
10
11
00
00
01
00
00
01
10
11
10
10
10
10
00
01
00
10
11
10
00
10
10
01
10
00
11
00
00
11
00
00
01
00
00
00
11
10
10
00
00
10
01
00
10
00
10
00
10
10
11
10
10
11
11
10
00
00
00
01
10
11
10
11
00
00
11
00
10
01
11
10
01
01
00
01
10
01
00
10
10
01
10
10
01
11
10
11
11
00
11
11
01
11
10
10
00
00
10
00
01
00
00
11
01
10
10
11
11
00
00
10
10
00
00
01
10
00
00
10
01
01
01
11
00
00
10
00
01
11
10
00
00
00
00
00
10
01
10
11
00
00
01
01
10
10
00
10
10
10
01
00
11
11
01
00
10
00
00
00
10
10
01
00
10
00
11
00
00
01
01
11
00
00
10
10
11
10
10
00
00
10
10
10
11
10
00
01
11
11
01
01
00
00
11
10
01
01
10
10
10
00
11
00
00
10
10
10
10
10
00
00
10
00
11
10
01
11
10
00
10
01
11
00
00
00
10
10
01
10
00
01
10
10
10
00
10
10
00
10
01
10
01
10
10
01
11
00
10
10
10
01
11
00
00
01
10
10
00
10
00
01
01
00
11
11
01
11
10
01
00
10
00
00
10
10
10
11
11
01
01
01
11
10
10
11
00
01
10
10
01
01
10
11
11
11
11
11
00
00
01
00
11
10
01
00
10
00
00
00
00
10
10
11
01
11
01
11
10
11
10
00
10
10
00
00
10
00
00
10
11
10
00
00
00
11
10
00
01
10
10
01
11
11
00
11
10
11
10
10
00
00
10
01
01
11
00
01
00
10
10
10
00
00
10
10
10
11
00
00
00
10
01
11
11
01
00
10
00
10
10
00
10
10
00
11
00
01
11
10
11
00
10
01
00
10
11
00
00
00
10
10
11
00
10
10
00
01
01
00
11
11
00
01
10
11
00
01
00
10
10
00
11
00
10
00
00
10
00
00
00
10
10
01
00
10
10
10
00
01
10
01
10
00
10
01
00
10
01
10
00
11
10
10
00
00
11
11
01
00
00
00
11
01
11
11
00
00
00
00
10
11
01
00
11
10
10
11
10
01
10
00
00
10
10
11
00
10
01
00
10
10
10
00
10
10
11
00
10
10
10
00
01
00
11
01
00
00
01
01
01
00
00
10
11
11
00
01
11
01
10
10
01
11
00
00
10
11
00
01
00
10
10
10
10
01
10
11
10
10
01
00
10
01
10
10
00
11
10
10
01
00
11
10
10
00
00
11
11
10
00
01
10
00
11
10
10
00
00
00
11
00
11
10
00
01
10
00
00
10
11
01
11
00
01
00
00
11
11
11
01
10
10
11
00
00
11
10
00
01
01
00
10
11
11
11
10
10
00
01
10
10
11
00
10
10
00
00
00
01
10
11
11
11
00
11
10
00
00
10
00
00
01
10
10
00
10
00
00
10
00
00
10
10
00
11
10
11
10
00
00
11
10
01
00
10
10
01
00
00
10
10
00
01
00
10
11
00
01
00
10
00
00
00
10
01
00
00
11
11
11
00
10
01
00
10
00
00
11
10
10
11
11
00
00
00
01
10
10
01
10
00
10
10
00
01
11
10
11
10
10
00
10
10
00
10
10
10
10
00
10
00
00
10
00
01
00
11
10
10
01
00
10
10
10
01
01
10
10
10
00
10
00
10
10
01
00
00
01
10
11
00
00
11
00
01
01
00
11
10
10
00
11
11
10
01
10
10
00
00
00
10
10
00
00
10
00
10
00
00
10
01
11
10
11
10
00
00
10
10
11
11
00
00
00
10
01
01
10
11
00
10
01
01
01
10
00
10
11
00
00
10
11
10
00
10
10
00
00
10
01
11
10
00
11
10
10
00
01
11
11
10
10
10
10
00
10
10
00
00
01
00
00
11
00
10
01
00
10
00
10
10
10
10
00
00
11
11
00
01
00
00
10
10
10
01
01
10
01
11
00
00
10
01
10
11
01
01
00
10
10
00
00
10
01
00
10
11
10
00
11
11
10
10
00
01
10
01
00
10
10
11
00
10
01
00
11
00
00
00
01
11
01
00
10
00
10
01
10
10
00
00
10
10
10
00
10
00
01
11
00
11
00
10
10
01
11
10
00
10
10
00
00
01
00
00
10
10
10
11
00
00
11
01
01
11
10
00
11
11
01
11
10
00
10
10
10
01
01
10
11
01
01
11
00
11
00
00
10
00
00
10
00
01
00
10
10
10
10
11
00
01
10
10
10
00
10
10
00
00
00
11
11
01
10
00
10
10
00
01
01
11
00
00
00
00
10
11
10
01
00
00
10
11
10
00
00
11
10
10
00
10
10
00
10
01
00
10
00
10
01
10
10
10
10
00
00
01
11
11
10
00
00
11
01
10
11
00
10
00
00
00
01
11
00
11
10
00
01
10
00
00
00
11
10
01
01
10
11
10
00
10
10
00
10
10
00
00
10
00
10
10
00
11
10
01
10
10
00
01
00
11
01
00
00
10
10
11
00
00
10
01
11
10
00
01
10
01
00
00
10
11
00
01
00
10
10
00
01
01
00
00
11
11
00
00
01
10
11
10
00
01
10
01
00
00
10
11
10
10
00
00
01
11
10
00
00
10
00
10
10
10
10
10
00
01
11
01
00
10
10
10
10
10
01
00
00
10
10
10
01
00
10
11
01
11
00
10
01
10
01
00
10
10
11
00
10
00
10
11
00
00
10
11
00
00
00
00
00
10
10
01
00
00
11
10
01
10
11
00
00
00
00
10
10
00
10
10
00
01
00
10
01
00
01
01
10
00
11
10
00
00
10
01
01
10
10
10
00
00
10
11
00
01
11
11
00
00
00
11
00
00
01
10
10
10
01
11
01
00
01
10
00
10
11
00
01
11
01
00
10
11
10
10
01
00
10
10
00
11
10
00
00
10
10
00
00
10
01
00
00
00
00
10
10
00
00
00
11
00
11
01
00
00
00
00
10
11
01
01
01
11
10
00
01
00
10
10
00
10
10
10
10
00
10
00
01
11
00
01
11
01
10
01
10
00
10
11
00
01
00
01
10
00
01
10
00
01
10
00
10
00
01
10
00
00
11
10
10
00
00
10
00
00
01
11
11
10
10
01
00
01
00
10
11
10
11
10
10
00
01
00
00
00
11
11
00
00
00
00
10
10
10
11
01
10
10
10
10
10
10
00
00
00
10
00
10
10
11
00
10
11
11
00
00
10
10
10
01
10
00
00
10
00
00
01
10
01
00
00
10
11
10
00
10
10
00
11
00
01
10
00
01
11
01
01
10
11
10
10
10
11
01
11
10
00
00
00
00
10
10
11
11
00
10
11
11
10
00
11
10
01
00
00
11
01
10
11
01
00
01
00
00
10
11
11
00
10
10
00
10
11
00
10
10
11
01
00
11
01
00
10
11
11
00
10
10
00
00
10
00
10
11
00
10
00
00
10
00
01
00
00
11
10
00
00
00
10
10
00
10
00
00
10
00
00
10
10
10
10
00
10
11
00
00
00
10
01
11
10
00
00
10
00
00
10
10
00
00
01
10
10
00
10
00
00
00
00
01
11
00
11
00
11
01
10
10
00
10
10
11
01
01
00
10
00
10
11
01
10
10
10
00
10
11
10
00
00
01
10
10
11
01
01
10
10
01
01
00
11
11
01
10
00
00
11
01
01
10
10
10
00
10
10
00
01
10
11
00
10
01
00
00
10
10
01
10
00
11
00
01
00
10
10
00
00
01
00
10
00
01
01
11
10
00
11
10
10
10
01
00
10
10
00
00
10
10
10
00
10
01
00
11
11
10
00
11
00
10
11
00
11
01
01
11
00
01
00
01
11
10
01
00
11
10
11
01
01
10
10
10
11
11
11
00
00
01
00
00
10
11
00
00
11
10
00
01
01
01
01
00
00
01
10
00
00
10
10
10
00
00
10
00
11
00
00
00
10
00
10
00
10
10
00
10
00
01
00
10
01
00
01
10
01
00
01
00
10
10
01
00
00
11
10
10
10
11
01
10
10
00
10
10
00
00
11
10
10
00
10
10
00
10
11
10
01
00
00
11
01
00
10
10
11
00
00
00
11
10
10
10
01
01
00
11
10
00
00
01
10
00
01
00
00
10
00
11
10
00
10
00
01
10
00
00
01
10
10
10
00
10
00
00
10
10
01
01
00
00
10
11
01
10
10
00
00
11
00
10
10
00
10
10
00
00
00
11
00
10
01
10
00
10
10
00
00
01
11
01
00
10
01
00
10
00
10
10
11
00
01
10
10
00
11
11
11
11
00
00
10
00
11
10
00
00
10
00
00
10
10
10
11
00
00
10
00
00
01
10
00
01
00
11
00
10
11
10
01
00
00
01
10
00
10
00
10
01
00
11
00
00
01
10
00
11
01
00
10
10
11
01
00
01
10
11
00
00
10
10
00
00
11
11
00
01
10
11
11
00
00
10
00
01
01
10
00
01
01
01
10
10
10
10
00
01
10
11
11
01
10
01
00
11
00
01
00
10
00
00
00
01
10
11
00
11
01
10
01
00
00
11
00
01
10
10
00
00
10
10
00
01
10
11
01
00
01
00
00
10
00
00
00
11
10
00
01
11
11
11
11
00
11
11
00
00
11
11
11
10
01
00
10
00
00
10
10
00
10
10
01
00
01
10
00
10
10
01
01
10
00
11
10
11
10
10
10
10
10
00
00
11
00
11
01
10
10
00
10
01
10
00
00
01
01
11
10
00
00
10
10
00
10
10
00
11
00
10
11
11
10
00
10
00
00
01
00
10
11
00
00
00
00
10
00
01
10
11
01
00
11
00
00
10
10
11
00
00
10
11
00
00
00
11
00
00
10
01
00
10
00
10
10
00
00
10
00
00
01
11
10
01
01
00
00
11
00
00
00
00
11
10
00
10
11
00
01
01
10
10
10
00
01
11
01
11
11
10
10
01
01
00
01
10
11
10
00
10
11
00
11
00
01
10
11
10
01
00
10
11
00
00
10
10
01
00
10
11
00
00
10
11
00
01
01
10
10
00
00
11
10
00
00
00
11
10
10
00
00
01
10
00
01
00
01
01
11
10
10
11
10
00
10
11
00
01
11
10
11
10
01
00
10
10
10
11
10
01
10
00
01
01
00
10
10
00
10
00
00
11
10
00
10
11
00
00
11
11
00
00
01
00
00
11
10
00
00
00
11
11
11
10
00
00
10
00
11
00
00
11
11
11
00
01
11
10
00
10
01
10
01
11
00
00
10
10
10
01
00
00
10
01
00
00
10
00
00
10
01
00
10
11
10
00
01
00
10
10
10
01
01
11
01
00
01
00
11
01
00
00
10
11
10
01
00
01
11
11
11
00
10
10
10
00
10
10
00
10
11
10
10
00
10
10
01
00
01
10
10
10
01
00
00
01
11
00
11
10
10
00
10
00
10
10
00
10
01
10
10
01
00
10
10
10
10
01
10
10
01
01
11
00
10
11
10
10
10
00
00
00
01
10
11
10
01
00
10
10
00
11
10
01
00
01
10
10
00
00
11
10
10
01
10
10
00
10
10
10
00
01
00
00
00
01
00
01
00
11
01
10
11
10
10
01
01
11
01
11
11
00
10
10
11
10
10
11
01
00
10
11
00
11
00
10
10
00
00
00
10
10
01
00
01
10
00
00
10
10
01
01
10
10
00
11
10
01
11
10
10
10
10
00
01
10
11
00
01
00
11
00
10
00
01
10
00
10
11
00
11
00
10
01
10
10
01
00
10
00
10
00
10
10
00
10
10
00
11
00
01
10
01
10
10
10
01
00
10
11
00
11
10
00
00
01
00
01
11
11
10
11
11
11
11
01
01
00
10
00
00
11
10
01
00
00
10
00
01
10
10
10
00
10
11
01
00
00
00
11
01
00
11
00
00
01
01
10
00
11
11
00
10
11
10
00
10
00
00
00
10
01
01
00
00
10
00
00
10
10
01
10
00
00
10
00
10
00
00
10
10
00
10
10
10
10
11
01
10
01
11
10
00
01
01
00
01
10
11
00
00
11
01
00
00
01
10
11
00
00
10
11
00
11
10
00
00
10
10
10
10
00
11
01
00
01
00
10
01
00
11
11
00
11
11
10
11
01
00
01
10
10
00
00
00
01
01
10
00
00
00
10
00
01
10
00
10
10
00
00
00
10
01
11
10
00
10
01
00
10
01
00
11
10
10
10
01
00
00
10
10
10
01
01
00
00
00
00
10
10
11
10
10
10
10
10
00
11
01
00
00
01
00
10
11
11
10
00
10
10
01
10
01
00
11
01
00
10
10
00
00
01
10
00
01
10
01
10
00
00
10
00
10
01
00
01
01
10
11
10
10
01
10
10
00
10
10
11
00
00
01
11
00
00
00
00
10
01
01
11
11
00
10
00
10
10
00
00
10
10
01
00
10
00
10
10
11
11
00
11
10
11
00
00
10
11
00
11
10
00
10
11
10
10
10
00
11
11
01
00
10
10
01
11
10
10
01
00
01
10
01
01
01
00
10
11
00
11
00
11
10
00
00
11
10
00
00
10
10
00
10
10
10
00
00
01
10
00
11
10
01
10
11
01
00
00
10
11
00
00
11
01
10
01
00
10
10
10
00
01
11
11
11
00
10
10
10
10
00
00
10
10
10
10
10
00
10
10
10
10
00
10
01
10
10
01
01
00
10
10
00
10
11
00
10
11
10
00
00
01
10
11
10
01
11
10
00
01
11
10
10
00
01
11
10
11
11
00
10
10
00
00
10
10
10
00
01
10
10
10
10
00
10
10
01
10
01
10
10
00
10
10
00
00
10
10
00
11
00
10
00
11
10
00
00
10
01
00
10
00
01
10
10
00
11
01
01
11
00
00
00
11
10
10
10
00
11
10
10
01
00
10
00
10
01
10
00
10
10
01
10
00
11
10
10
00
00
10
10
01
10
10
10
01
10
10
01
11
11
11
11
11
01
01
11
00
11
10
10
01
00
01
11
01
00
01
10
10
11
00
10
11
00
00
11
00
00
10
00
10
11
10
11
10
01
11
00
10
10
00
10
00
00
00
10
00
01
10
00
00
10
10
10
10
10
10
00
00
01
10
10
00
00
10
10
10
00
10
10
11
10
01
00
10
00
10
10
11
10
01
00
00
00
01
11
00
10
10
11
00
01
00
10
11
01
10
10
10
00
00
10
10
00
10
10
00
01
10
11
00
01
01
10
00
01
10
00
11
10
00
01
10
01
01
01
10
11
01
00
01
10
11
01
00
11
11
10
00
10
10
00
00
01
10
11
00
00
10
10
11
00
10
11
00
10
01
01
00
00
10
00
11
00
10
01
00
10
11
00
10
10
00
11
00
10
11
01
00
01
01
10
01
00
11
11
00
00
11
00
01
00
10
10
10
10
00
01
10
11
10
11
10
11
01
01
10
01
10
10
10
10
10
00
00
10
10
11
11
00
10
11
01
10
00
00
10
10
00
00
10
11
01
01
11
00
11
01
10
00
11
10
00
01
00
11
00
10
10
00
11
11
00
00
11
10
10
00
01
10
10
01
10
01
01
10
10
11
11
01
01
10
00
00
10
11
00
00
01
10
01
10
01
00
10
11
00
00
10
11
00
00
01
10
11
00
00
10
01
00
10
01
00
10
11
00
00
00
10
10
01
00
01
01
10
10
01
11
11
11
01
00
00
10
00
10
11
01
01
10
00
00
10
00
10
00
00
10
01
11
10
10
10
00
10
10
00
11
10
10
00
00
10
10
10
00
11
00
11
11
01
00
00
00
00
11
10
01
01
10
10
11
00
11
10
01
00
00
11
10
11
00
00
10
01
00
00
11
10
11
01
00
11
10
11
01
10
10
11
00
00
10
00
01
00
00
10
01
10
10
10
11
00
00
11
00
10
00
01
11
00
10
01
11
01
10
10
00
10
10
10
10
00
10
10
00
00
10
00
10
00
00
00
01
11
00
01
10
10
10
00
00
00
00
11
10
10
01
01
01
11
11
10
00
00
01
00
01
11
11
10
01
11
10
00
01
10
11
10
01
10
10
00
10
01
00
11
00
00
10
10
10
10
00
01
00
00
10
01
10
11
11
11
11
11
00
00
10
10
00
00
10
10
00
00
01
00
01
10
00
10
10
00
10
00
00
10
00
10
10
01
10
01
10
10
01
00
10
10
11
00
10
01
00
10
11
01
10
00
10
10
10
00
00
10
01
10
00
11
01
10
10
00
01
00
01
11
10
01
00
00
10
00
10
01
10
11
11
00
10
00
10
00
10
10
00
01
10
10
01
10
11
11
01
00
00
10
10
00
01
00
10
10
00
11
01
10
00
01
01
00
10
10
00
00
11
00
10
10
10
01
01
00
10
00
01
11
10
00
10
10
10
10
01
00
10
10
01
00
10
11
10
10
00
01
10
10
00
01
00
11
10
00
00
11
11
00
11
11
11
00
10
10
00
11
01
00
10
00
00
11
01
10
00
00
01
10
01
11
10
01
10
11
00
00
10
01
11
10
00
00
01
10
01
10
10
00
01
10
10
10
00
01
01
00
10
00
01
00
00
10
10
11
01
01
01
01
10
11
01
00
00
11
11
00
01
10
10
01
00
10
00
10
10
00
01
11
01
00
11
00
11
10
11
10
00
00
00
10
11
01
00
11
00
10
11
10
10
10
01
01
10
11
10
11
10
00
01
10
11
00
01
10
10
01
10
10
01
10
11
10
00
10
00
01
01
10
00
00
00
00
00
10
10
01
00
10
10
01
10
10
01
00
10
10
00
00
11
10
00
00
10
10
10
01
00
11
11
11
00
11
10
00
10
10
00
00
00
10
00
00
11
00
10
10
10
01
01
10
00
00
01
00
00
10
10
10
11
11
00
01
10
00
00
11
10
11
00
00
10
11
01
10
11
10
00
00
10
00
00
11
11
00
10
10
11
10
11
01
01
00
11
10
11
10
00
11
10
00
00
01
11
01
11
11
01
10
01
10
10
10
00
00
00
10
11
10
10
00
01
11
00
00
00
11
10
01
00
10
10
11
10
11
01
00
11
01
00
01
11
10
00
10
10
01
10
11
00
10
10
01
11
00
00
10
10
10
00
00
11
00
00
00
01
00
00
00
11
10
00
00
10
11
00
00
01
00
10
10
01
11
11
00
01
00
10
10
01
00
10
11
00
11
11
00
00
10
00
01
00
10
11
11
10
10
00
00
00
10
11
11
00
11
10
01
01
00
00
01
01
11
10
00
11
10
10
00
01
10
10
10
01
11
10
11
00
10
00
00
10
11
00
00
11
01
00
10
00
10
01
10
11
00
11
10
10
10
10
11
10
11
11
10
00
00
01
10
10
00
01
10
01
00
11
10
00
10
10
00
00
11
10
00
01
00
10
00
01
00
10
10
10
10
00
00
00
00
10
00
00
11
10
01
01
11
00
10
10
00
11
10
11
00
11
01
11
01
01
10
10
01
01
10
10
00
00
01
00
11
10
10
10
10
10
00
01
00
00
10
01
10
00
00
10
10
11
10
00
10
10
10
01
01
10
00
00
00
10
00
10
11
00
00
11
00
00
00
10
11
10
00
00
10
10
00
10
10
10
01
00
01
10
11
10
11
10
00
10
11
00
01
10
10
00
00
00
00
00
10
11
11
00
11
01
11
11
01
00
11
10
01
01
10
10
01
10
00
00
11
00
00
00
11
00
00
10
10
10
11
01
00
10
10
00
00
10
11
00
00
11
10
00
00
00
11
00
01
11
10
00
00
11
01
00
11
00
10
11
11
00
10
10
00
10
01
01
10
10
00
10
10
11
00
10
10
10
11
00
00
00
00
01
11
11
01
10
00
11
10
01
00
10
10
00
10
10
11
00
01
10
00
00
00
10
11
10
01
00
10
01
10
11
01
10
00
11
11
00
11
11
11
10
00
00
11
00
01
10
10
00
10
10
00
10
10
00
00
10
01
10
00
00
10
11
10
00
01
10
00
00
10
10
00
01
10
10
10
00
00
01
01
10
10
00
00
01
11
11
01
01
10
10
10
11
00
00
10
10
00
10
11
10
10
01
10
01
01
11
11
11
01
10
00
00
00
11
01
00
11
01
00
01
00
11
11
00
01
10
10
01
01
11
11
00
00
10
11
00
11
10
10
00
00
10
10
01
00
10
00
00
01
00
11
10
11
10
01
00
10
11
00
00
11
00
01
00
10
00
10
10
10
10
00
00
10
01
11
10
11
10
10
00
00
10
10
00
00
01
00
01
00
10
00
11
01
10
11
01
10
00
00
00
11
01
01
10
11
00
11
11
01
10
10
11
00
10
00
00
10
11
00
01
00
01
11
10
01
00
00
11
10
01
00
10
11
01
11
00
11
10
01
10
10
00
00
10
01
10
10
00
10
11
10
01
00
01
00
00
11
00
00
10
11
01
00
11
10
00
11
10
01
00
10
11
10
01
10
01
00
10
10
01
00
10
10
10
11
01
00
01
00
10
10
00
10
01
01
01
11
10
10
00
10
10
00
00
11
01
10
11
00
01
00
10
00
10
00
01
00
10
11
01
10
00
11
10
01
11
00
00
10
11
11
01
01
11
00
10
10
10
00
00
10
10
00
00
00
00
11
01
00
01
10
11
10
00
00
10
11
00
00
10
01
00
11
10
10
00
00
10
10
10
11
01
00
00
01
10
01
10
10
00
00
10
00
10
10
10
10
10
00
10
01
10
11
10
00
00
01
10
10
00
01
11
00
11
11
00
00
10
10
00
01
10
00
10
00
10
00
00
01
00
10
00
00
10
01
11
00
11
11
10
11
10
00
10
00
00
10
10
00
00
10
11
00
10
01
11
11
01
10
11
00
00
10
01
01
10
10
00
01
11
10
11
00
01
10
10
10
01
00
10
00
00
01
10
10
01
11
11
11
01
10
10
00
00
00
10
10
00
00
00
10
10
01
01
00
11
11
11
00
00
01
10
01
00
11
11
00
10
10
10
10
00
00
10
11
10
10
10
10
01
11
10
11
10
00
10
10
00
01
01
11
01
01
00
00
10
00
00
10
10
11
00
01
10
01
11
00
00
10
00
00
00
10
10
01
11
00
10
00
11
10
00
10
11
00
01
10
11
01
00
00
01
10
10
10
01
10
11
11
01
00
10
11
10
00
00
10
11
00
01
11
00
10
00
11
11
10
00
00
11
10
00
10
10
00
01
11
00
00
00
00
10
00
10
00
00
10
10
00
00
10
00
00
00
10
00
11
00
00
10
11
10
11
10
00
10
00
00
00
10
10
11
00
01
11
11
00
10
10
10
11
00
00
10
10
00
11
11
00
01
11
00
10
10
10
00
01
00
10
10
10
00
11
11
01
01
11
10
01
11
00
01
10
00
01
11
11
10
00
00
00
10
00
10
10
00
10
11
00
10
00
00
10
11
00
01
00
10
10
10
10
00
01
11
11
00
01
11
11
10
00
00
10
00
00
01
10
01
00
00
00
11
01
01
10
00
00
00
01
10
11
01
11
11
00
00
01
11
10
10
00
00
11
00
01
00
00
10
10
01
10
00
00
00
10
00
11
01
11
10
11
00
10
00
01
10
10
01
01
00
01
01
01
11
10
10
01
01
11
10
00
00
10
00
11
10
00
10
00
00
00
11
10
00
01
11
10
10
01
01
11
10
01
11
11
00
10
10
00
10
11
10
01
11
10
01
00
01
00
01
11
10
00
00
00
01
00
11
11
01
11
11
10
10
10
00
00
00
11
10
01
00
11
10
00
10
10
00
00
00
10
10
00
00
11
00
10
10
00
00
00
10
00
01
00
10
00
00
10
00
10
01
10
10
00
10
00
11
10
00
11
11
00
11
00
01
10
00
10
11
10
01
10
11
01
01
00
00
00
00
11
10
11
00
10
00
10
10
01
00
10
01
11
00
10
00
00
01
00
10
00
01
11
00
00
11
10
11
10
00
10
11
10
10
10
11
11
00
11
10
00
11
10
01
00
11
10
00
00
00
00
10
10
01
11
11
11
10
10
00
01
00
01
10
11
00
00
00
10
10
01
00
11
10
01
10
01
00
01
10
11
00
00
10
11
00
00
10
10
10
00
10
10
11
00
10
10
10
00
00
11
00
11
01
10
11
01
01
00
00
11
10
10
01
10
11
10
00
00
10
11
10
01
00
01
01
10
10
00
10
10
00
10
00
10
10
01
11
00
00
00
00
01
01
11
10
00
01
00
10
00
01
10
10
01
01
01
10
10
00
11
10
00
10
11
11
10
10
00
10
11
10
00
00
10
10
11
00
10
10
10
00
11
01
00
10
10
00
01
10
10
01
11
10
10
00
00
11
10
11
10
00
01
01
01
10
00
00
10
11
00
11
10
01
00
10
11
00
10
10
10
10
10
10
00
10
00
00
01
10
10
01
01
11
10
10
00
01
10
00
10
10
11
01
01
00
00
11
10
10
10
01
01
11
11
11
11
00
11
10
00
00
11
10
00
00
11
10
11
10
01
10
11
01
01
10
00
01
10
01
00
10
11
00
00
00
10
10
00
00
10
00
00
01
00
00
00
01
10
10
10
11
00
11
10
10
00
00
10
11
00
00
00
11
11
10
00
00
11
10
00
01
11
10
01
11
00
00
10
10
11
00
00
00
00
00
10
00
11
01
00
11
10
01
00
11
10
00
10
00
00
10
10
01
10
10
10
10
10
01
10
00
10
01
00
10
10
10
00
01
10
00
10
00
11
01
10
11
00
10
10
10
00
11
00
00
10
00
00
11
00
00
10
10
11
01
00
01
10
10
10
10
11
00
01
00
10
10
11
11
10
00
10
00
10
11
01
00
00
01
01
10
00
00
01
00
11
10
00
00
11
11
01
10
10
11
00
00
10
11
00
00
11
10
00
01
10
01
10
10
00
11
11
00
00
01
00
10
11
10
10
01
10
00
00
11
11
10
10
01
00
11
00
11
00
01
00
00
10
11
10
11
10
00
10
11
00
00
00
10
00
11
00
01
10
11
11
10
00
10
01
00
00
11
00
11
11
01
00
11
10
00
00
10
10
00
01
00
10
10
01
10
00
01
00
00
11
10
11
00
11
00
00
10
10
00
00
10
11
10
00
10
00
10
11
00
00
10
10
10
10
00
00
11
01
11
11
10
00
00
11
11
10
01
10
11
10
10
00
00
11
11
01
00
10
10
10
10
00
10
11
01
00
10
11
01
11
01
01
10
10
10
10
00
00
11
00
01
00
00
11
11
10
01
01
10
11
00
01
00
10
10
00
10
00
00
11
01
00
10
00
10
10
00
10
00
01
00
00
00
11
11
00
00
00
10
01
10
01
00
10
01
01
11
10
10
00
10
10
00
00
11
01
01
11
01
00
10
11
10
10
00
01
10
10
00
11
10
00
01
10
01
11
01
10
10
00
01
10
00
00
00
10
11
10
10
00
00
10
11
11
00
11
01
01
11
01
00
11
01
10
10
01
10
10
01
10
11
01
10
01
00
01
10
11
00
00
11
10
10
00
01
00
11
00
01
10
10
00
00
00
10
10
10
00
10
01
01
01
00
10
10
11
10
11
00
00
00
00
10
11
01
00
00
00
10
00
00
10
00
01
00
11
10
01
10
00
10
11
11
00
00
00
11
10
10
00
10
10
01
11
10
01
00
11
00
00
01
11
00
10
00
01
00
10
10
01
00
11
00
10
11
10
10
00
10
01
00
01
00
10
11
10
10
01
11
11
00
01
00
00
11
10
01
00
10
00
10
00
11
01
10
11
00
00
10
00
10
10
10
01
01
00
10
11
00
00
00
00
10
01
00
00
00
01
11
00
11
10
00
11
00
01
00
10
10
01
00
00
10
11
11
00
01
00
10
11
00
01
11
10
10
01
00
01
00
10
10
00
11
00
01
11
10
00
00
00
10
10
00
11
11
01
00
10
11
00
01
00
11
10
11
00
11
00
00
11
10
10
00
00
10
10
01
10
01
10
11
10
11
10
10
00
00
00
10
00
01
00
00
10
10
00
01
00
00
11
01
01
10
11
11
00
01
00
10
10
00
01
10
01
00
00
00
10
10
10
11
00
00
10
00
01
10
11
00
01
11
10
10
00
10
11
10
00
00
11
10
01
01
01
11
10
00
10
01
01
00
10
00
00
10
10
10
10
10
00
01
10
00
10
00
00
01
01
10
10
00
10
00
01
00
11
00
00
00
01
10
00
00
00
01
10
01
00
10
10
00
01
00
10
11
10
11
01
11
00
00
10
10
10
01
11
00
00
10
10
10
10
11
10
10
00
10
10
10
10
00
11
01
10
11
00
00
00
01
10
01
00
10
00
10
00
01
00
11
11
00
11
11
00
10
10
00
11
00
01
11
10
00
10
10
10
01
00
11
00
01
11
10
01
10
10
00
10
00
11
01
01
01
11
00
10
01
00
10
10
10
11
11
00
00
10
11
10
00
00
10
11
10
01
00
11
10
10
01
10
10
10
10
01
00
01
10
00
11
11
10
11
01
00
10
10
01
00
11
11
11
00
10
01
00
11
11
11
00
00
00
10
00
00
01
11
11
00
10
00
00
00
01
00
01
00
00
10
01
00
01
10
00
00
10
10
01
00
11
10
10
10
10
10
00
10
00
10
10
10
00
00
00
00
11
01
11
11
01
00
10
10
00
10
11
10
00
00
10
01
10
10
11
00
01
00
01
00
11
00
11
00
00
00
00
10
10
11
01
10
10
11
10
00
10
00
10
01
10
10
00
10
01
11
00
11
11
00
10
00
11
11
00
00
10
10
00
00
00
10
10
01
00
00
00
00
00
01
11
00
01
10
10
10
10
10
01
01
00
10
11
00
10
00
00
10
00
01
11
00
00
00
00
10
10
11
10
10
01
11
00
01
00
01
11
00
10
01
01
10
00
00
11
10
00
01
00
10
00
11
10
00
10
00
10
10
00
10
10
10
11
10
00
00
10
10
10
00
01
10
11
00
11
00
11
10
01
10
00
11
10
11
01
00
11
00
10
00
00
11
10
10
01
10
11
11
11
00
10
10
11
10
00
01
10
01
10
10
00
11
11
00
10
00
11
10
11
10
00
10
10
00
10
10
01
00
10
11
00
01
01
00
00
00
00
10
00
00
11
10
00
01
11
10
10
10
01
10
11
10
10
01
11
10
00
00
00
00
01
10
11
11
00
10
00
11
10
01
00
11
10
00
10
00
01
10
00
10
10
00
00
00
11
10
00
10
00
10
00
01
11
11
00
10
00
10
00
10
11
00
01
10
00
10
01
10
11
10
00
01
10
10
10
10
10
01
11
01
10
00
00
01
00
10
01
01
10
11
00
00
10
01
11
10
10
01
00
00
00
10
10
00
01
11
00
01
00
00
00
00
10
00
10
10
10
00
00
11
00
11
10
00
11
10
11
10
10
11
00
00
00
11
11
00
11
01
01
00
01
10
11
10
00
10
11
00
11
10
11
00
01
01
11
10
01
01
10
00
00
01
11
00
10
00
11
11
10
11
00
01
11
01
01
00
10
10
10
00
00
10
10
10
00
00
00
11
11
10
11
00
00
10
10
00
01
10
01
00
01
10
10
11
11
10
00
10
10
10
10
00
00
11
00
11
10
00
00
10
00
00
00
10
11
00
00
00
00
00
10
10
10
11
00
10
01
10
00
10
11
01
00
11
10
10
11
11
11
00
10
10
01
11
01
01
01
10
00
10
00
00
11
11
01
11
10
00
11
10
00
00
11
10
00
11
11
01
01
00
01
11
00
10
00
00
01
00
11
10
01
01
00
00
10
01
00
10
10
11
00
00
10
01
11
10
01
10
10
00
10
00
11
10
00
00
11
01
11
01
01
10
01
10
11
01
01
10
10
01
01
01
01
01
10
10
10
10
00
00
10
10
01
11
10
00
00
11
10
00
10
01
00
10
11
10
00
00
11
00
01
10
11
10
01
00
10
00
00
10
10
00
00
01
00
10
01
10
00
11
10
00
00
00
00
10
10
11
10
00
10
00
00
00
01
10
00
10
01
00
01
00
10
10
11
00
10
10
01
00
00
10
10
10
10
00
10
10
01
10
11
10
00
01
11
01
11
10
00
00
00
10
00
11
10
01
10
10
00
10
11
00
10
10
10
10
00
01
00
11
01
01
00
00
01
10
01
00
10
11
00
01
00
10
11
10
10
00
10
10
01
01
10
10
00
00
11
00
10
10
00
01
00
11
01
10
11
10
10
00
00
10
10
10
00
11
10
10
11
01
10
01
00
11
11
10
01
01
11
00
10
11
10
00
00
10
10
00
10
11
01
11
00
00
00
11
10
00
00
00
00
00
10
10
01
10
10
00
10
11
01
10
00
01
11
10
10
01
11
11
10
11
10
10
11
00
01
10
00
10
01
00
01
00
10
11
11
10
00
00
11
11
01
01
10
01
00
10
01
11
11
00
10
10
01
00
10
10
00
10
10
11
10
00
00
00
10
11
10
00
00
10
11
10
10
11
10
10
10
10
00
11
10
00
10
00
10
10
01
00
10
11
00
01
10
00
00
00
00
10
10
00
01
00
10
00
10
00
00
11
10
11
01
11
10
00
00
11
00
11
00
00
01
00
11
10
11
10
01
10
10
01
01
00
10
11
00
10
00
00
10
00
10
10
10
00
10
00
00
10
10
10
00
00
10
01
11
10
10
01
00
01
00
01
00
00
10
00
00
10
01
10
00
10
10
00
10
00
10
00
10
11
11
00
10
00
01
11
11
00
10
00
00
10
10
10
01
11
01
11
00
01
00
01
00
00
10
10
11
01
00
10
00
00
10
00
00
00
10
11
00
00
00
10
10
10
10
10
00
00
10
00
00
11
01
10
01
01
00
10
11
00
10
10
11
11
01
00
01
10
01
11
10
11
10
10
00
10
10
10
00
00
10
11
10
10
10
10
00
00
01
01
10
11
10
10
00
00
00
00
10
11
01
10
11
10
00
10
11
01
01
10
10
00
00
01
00
10
10
11
01
00
10
00
11
10
11
10
10
00
00
11
10
01
00
00
10
11
00
11
10
10
00
10
10
00
10
10
10
01
00
10
10
10
10
00
01
10
10
01
10
01
00
00
10
00
10
10
00
10
11
01
10
10
10
11
10
11
10
11
00
10
10
10
00
01
10
11
10
10
01
00
00
00
10
11
00
00
10
10
01
10
00
10
01
11
00
01
00
10
11
11
11
00
11
10
10
00
00
01
10
11
00
00
01
00
10
11
10
11
00
11
01
11
01
00
10
11
00
01
11
10
00
11
01
00
10
10
11
00
10
00
01
00
00
10
00
11
00
10
10
01
10
10
11
00
11
01
10
10
10
01
01
01
01
11
00
01
01
01
10
10
01
00
00
01
10
00
01
10
10
01
00
00
00
00
10
10
01
10
10
01
00
10
10
00
01
01
11
01
11
10
10
11
00
11
11
01
01
10
10
00
10
00
11
10
11
00
00
11
00
00
10
10
00
10
11
01
10
10
11
01
00
11
11
00
11
10
00
10
00
10
11
11
01
01
10
10
11
00
10
11
00
11
10
01
10
01
10
00
01
10
10
10
10
00
01
01
10
10
00
11
10
10
00
11
10
00
10
10
00
01
00
01
10
10
10
00
10
01
00
10
00
10
00
11
00
00
10
11
00
00
11
00
00
00
00
00
00
10
01
01
00
10
11
10
00
00
10
01
01
11
11
10
00
10
00
00
01
10
10
00
10
01
00
10
00
00
01
00
00
10
11
01
01
10
11
11
10
11
00
00
01
10
11
10
00
10
00
00
01
00
00
00
11
00
11
00
01
00
10
00
00
01
11
00
00
10
10
10
00
00
01
00
01
00
01
01
10
11
00
00
10
00
10
00
11
11
01
00
01
10
10
00
10
01
10
11
00
10
11
10
00
00
11
10
00
10
11
00
11
00
00
01
10
01
10
10
00
00
00
10
00
01
10
11
01
00
01
00
00
00
10
10
01
01
00
00
10
11
10
10
10
00
01
01
10
10
10
10
10
10
01
00
01
00
01
00
01
10
11
10
01
01
10
10
00
00
00
11
10
10
00
00
01
00
10
00
00
11
10
11
10
00
00
10
00
00
00
10
00
10
01
01
11
01
11
10
01
10
00
00
00
01
11
10
10
11
10
00
00
11
00
00
10
10
10
10
01
01
10
00
11
10
11
00
00
10
00
11
11
11
11
01
11
10
00
11
10
01
00
11
10
00
10
10
00
00
00
11
01
11
10
00
00
11
00
10
11
00
01
10
00
00
00
10
10
01
00
11
11
10
10
10
10
00
00
10
10
01
10
01
00
00
11
11
00
11
01
00
01
01
00
01
10
10
00
00
10
10
11
01
01
10
11
00
00
01
00
00
10
10
10
10
01
01
11
01
01
01
01
11
00
10
11
00
10
10
01
00
11
10
11
01
11
11
01
00
10
10
01
11
11
00
00
00
10
11
00
01
11
11
11
01
01
10
11
00
00
10
10
00
01
11
00
10
10
11
00
01
11
00
10
00
00
10
10
00
00
00
10
00
00
00
00
10
00
11
11
00
00
10
00
00
10
10
00
00
00
00
11
11
00
10
00
11
10
10
00
00
10
10
10
10
10
10
00
01
10
10
11
10
01
01
10
00
10
11
10
10
01
00
10
11
01
00
01
01
10
11
00
10
10
00
01
11
11
00
11
10
00
00
10
10
10
11
00
01
00
01
10
01
11
10
10
01
00
11
00
10
10
10
10
01
10
00
10
10
00
10
00
10
01
00
10
00
00
10
01
11
11
00
01
00
00
11
00
00
10
00
00
01
00
10
00
01
11
10
01
01
10
10
11
00
10
01
10
01
01
11
00
10
10
00
10
11
00
01
10
00
10
00
01
00
11
11
10
11
00
01
01
11
00
10
10
01
00
11
00
00
00
00
11
11
00
11
10
10
11
10
00
00
00
10
11
10
01
10
11
01
00
10
10
00
00
01
10
10
10
00
00
10
00
01
11
01
10
11
01
01
10
00
00
01
10
10
01
10
10
10
11
00
11
00
10
11
00
00
10
10
01
01
11
10
00
11
10
00
11
01
11
00
00
10
10
00
10
11
00
01
11
10
01
00
10
10
01
01
00
10
10
00
00
10
10
10
00
11
00
11
10
10
00
10
10
00
00
00
10
00
01
11
10
10
10
10
00
10
10
01
11
10
10
10
11
11
10
01
01
10
10
10
00
11
10
00
01
01
00
11
10
00
00
11
10
11
00
11
10
00
10
00
00
11
00
00
00
10
01
11
10
00
00
00
01
00
00
10
11
00
01
10
10
01
01
00
10
01
00
00
10
11
00
00
10
00
00
10
10
10
01
00
10
00
00
11
00
01
00
10
00
00
00
00
10
10
11
11
01
00
01
00
10
10
11
00
10
11
00
00
10
10
01
10
00
00
10
10
10
00
10
10
00
10
00
11
01
00
01
00
01
10
00
10
00
00
10
10
00
11
01
00
10
00
10
11
00
01
10
01
01
00
11
10
10
00
10
01
10
00
00
00
11
10
10
10
00
00
00
10
10
10
00
10
00
01
10
00
01
10
10
00
01
01
00
10
01
00
10
00
00
01
01
11
10
01
10
10
11
10
01
00
00
10
00
00
10
00
00
10
10
10
10
01
01
10
10
01
10
10
01
10
00
01
10
11
00
11
10
11
00
00
11
01
00
11
10
01
01
00
01
10
10
01
00
10
00
11
10
10
01
01
10
01
10
10
10
00
01
10
00
10
10
10
00
01
10
00
10
10
11
00
10
10
10
11
10
01
00
00
00
11
00
01
11
11
11
11
00
00
00
10
10
10
00
00
10
00
10
11
01
01
10
00
00
10
10
10
11
11
10
10
10
10
10
10
00
00
00
11
10
11
00
00
00
01
01
00
10
10
11
11
00
00
00
00
00
01
10
10
00
10
00
11
01
10
11
00
00
00
00
00
10
01
01
00
00
10
10
00
00
10
10
10
11
00
10
00
11
10
00
00
00
01
11
00
11
10
00
11
00
00
01
00
10
01
11
00
00
10
10
10
00
00
01
10
11
00
10
10
01
10
01
00
10
10
00
11
11
01
01
01
10
00
10
10
00
00
10
11
00
01
00
00
10
10
00
11
00
00
00
10
11
01
10
01
01
11
11
01
00
00
10
10
10
00
11
10
01
10
10
00
00
00
10
00
10
11
11
11
00
10
01
00
01
00
10
10
10
00
10
10
00
01
01
01
00
11
00
00
10
01
10
10
00
10
10
10
10
00
10
10
00
10
00
10
11
10
10
00
10
00
10
10
11
10
10
11
00
01
10
00
01
01
11
11
10
01
10
00
01
10
10
10
00
00
01
10
10
00
11
01
11
11
00
01
11
10
10
10
00
00
00
11
01
01
00
10
00
10
10
10
10
01
00
00
11
01
00
00
10
01
01
00
11
11
00
01
00
11
00
01
11
10
11
01
10
10
11
01
00
00
11
11
10
00
00
00
00
00
10
00
00
01
11
10
11
01
00
10
00
10
00
10
11
10
11
00
01
00
10
11
01
00
10
00
11
00
10
10
10
10
01
10
11
00
00
01
00
00
10
00
01
01
00
11
10
11
00
01
10
00
00
10
01
00
01
00
10
10
10
00
01
01
00
00
10
10
00
11
10
00
11
10
00
11
10
10
01
00
01
11
01
10
10
01
11
00
00
10
10
00
00
11
01
10
01
00
11
11
00
01
00
10
10
01
00
10
11
01
10
01
11
00
10
10
00
01
11
10
00
01
11
00
01
10
01
10
00
00
10
00
11
00
01
11
00
10
00
00
00
00
01
10
00
00
11
00
00
10
10
00
11
11
01
00
01
00
10
01
10
10
00
00
00
11
10
01
10
10
11
10
10
01
10
10
11
10
10
00
01
00
10
10
01
00
01
11
00
11
00
00
11
00
10
00
00
10
00
00
00
10
10
00
01
00
11
11
01
10
10
01
11
00
11
10
00
10
10
01
10
01
00
00
10
00
00
10
11
00
00
10
01
10
10
11
00
10
01
00
10
00
11
10
10
01
00
10
00
10
10
00
10
01
10
01
10
11
11
10
00
00
01
11
01
01
11
10
11
00
10
10
01
00
01
01
10
10
00
00
10
00
11
00
00
01
10
10
01
00
01
00
00
10
11
00
01
10
10
10
10
00
00
01
10
11
00
01
00
01
00
00
10
10
10
01
10
00
00
01
00
00
11
10
00
00
00
10
11
01
10
10
10
00
10
10
01
10
10
01
10
10
01
00
00
01
10
00
00
11
01
11
11
11
11
00
10
10
10
00
00
10
10
01
10
01
00
11
10
00
10
01
10
00
11
10
00
01
11
00
10
01
00
11
01
10
10
01
01
10
11
00
10
10
00
00
10
00
00
01
10
10
00
01
10
00
01
11
10
11
10
00
00
01
10
11
11
10
10
00
11
10
10
00
01
00
00
01
00
00
11
11
00
00
10
10
10
00
01
01
11
00
00
10
01
11
10
10
00
00
10
10
01
01
00
10
10
01
00
00
10
11
10
10
10
00
01
10
00
00
01
10
10
01
11
00
10
10
10
00
11
00
00
00
11
00
01
00
10
10
01
00
00
00
10
10
01
11
11
00
00
10
01
10
00
00
10
10
00
11
00
00
00
00
01
11
11
00
10
10
00
11
00
01
10
11
10
01
01
11
10
01
10
11
00
00
00
10
01
00
10
01
10
00
00
11
10
01
01
00
00
00
00
10
00
00
10
01
10
10
10
10
00
10
11
11
00
01
00
00
10
01
10
00
00
10
00
00
00
01
11
10
11
00
00
00
00
10
00
10
11
01
10
10
10
01
10
10
11
10
00
00
11
00
00
10
00
10
00
00
00
00
10
11
00
00
11
10
11
00
10
00
10
10
00
00
10
00
00
10
10
00
11
01
01
00
00
00
00
10
01
00
10
01
00
11
00
11
11
01
11
00
00
10
11
11
01
10
01
01
01
10
10
00
10
10
11
10
00
00
10
10
10
00
00
00
10
10
00
10
10
01
01
01
10
00
00
10
10
00
00
10
10
10
10
00
01
01
00
10
10
00
00
00
10
11
00
00
11
10
11
00
11
10
10
10
11
01
01
10
01
01
10
10
10
10
00
00
10
00
10
10
00
00
11
00
00
01
00
00
01
11
11
00
00
10
00
00
10
10
00
10
11
01
10
00
00
01
01
01
10
11
00
10
00
00
00
00
11
10
10
01
00
11
10
01
10
10
00
00
01
10
10
11
10
01
11
01
01
01
10
10
10
01
01
10
11
10
00
10
10
01
00
00
10
00
01
00
01
11
00
00
00
00
00
00
11
00
01
10
10
00
00
10
10
01
00
01
10
11
10
00
00
01
01
11
00
01
10
10
10
10
00
00
00
10
10
10
01
00
01
11
00
01
10
00
00
00
10
10
00
01
10
10
00
10
00
01
00
00
10
10
10
01
11
10
10
10
11
10
10
00
10
01
11
10
10
10
00
00
10
01
01
11
10
01
00
10
00
00
10
10
00
00
10
10
00
11
00
10
10
11
10
00
01
01
10
10
11
00
00
00
10
10
10
10
00
00
11
10
00
00
00
00
00
10
11
10
11
10
10
00
00
10
10
10
00
11
01
00
10
01
00
01
00
01
10
00
00
10
11
00
00
00
10
10
11
00
01
00
00
11
11
00
01
00
10
00
00
00
01
01
11
10
10
10
00
00
10
10
01
00
11
00
11
11
00
00
10
10
00
00
00
00
11
00
00
10
00
11
10
01
00
00
10
11
10
00
10
11
10
01
00
10
01
01
11
11
00
00
10
10
10
11
01
00
00
10
10
00
00
10
10
00
00
10
00
10
00
00
00
01
10
11
01
00
10
01
01
00
11
10
10
10
11
11
00
10
10
10
10
00
00
10
11
01
00
10
10
00
10
10
10
11
01
00
10
00
10
00
00
00
01
10
00
00
10
10
10
10
10
01
11
00
10
00
00
00
01
11
00
01
10
11
11
00
11
10
11
01
01
10
01
10
10
11
00
10
10
11
11
00
11
01
01
00
01
11
10
10
00
11
10
01
00
11
10
11
01
00
00
10
10
00
00
11
00
00
11
01
00
10
10
00
00
00
01
00
11
01
00
01
01
11
10
00
00
11
11
00
00
10
10
00
10
11
01
00
11
11
00
10
11
00
00
10
10
10
10
01
00
00
10
00
00
10
00
00
11
10
10
00
00
11
00
00
10
11
00
00
10
00
00
11
10
10
10
01
10
10
00
01
10
10
01
10
10
01
11
00
01
10
10
00
00
01
10
11
00
11
10
01
11
10
10
01
10
10
10
01
10
11
11
01
00
11
10
01
10
10
10
01
01
11
00
00
11
00
00
00
10
11
10
00
01
01
01
10
01
01
00
00
10
10
11
11
00
01
10
00
10
11
10
10
00
10
10
00
11
00
00
00
11
11
11
00
00
10
11
10
01
10
10
00
00
11
00
10
10
00
11
00
00
00
11
00
01
10
10
11
00
10
01
00
10
00
01
10
10
10
00
01
00
11
10
11
00
01
11
10
00
00
11
11
10
00
01
10
10
10
11
00
01
10
00
10
11
00
10
10
01
00
10
00
00
10
11
11
00
10
11
10
10
10
00
01
10
10
01
10
00
10
01
00
11
10
11
01
00
01
00
10
11
00
00
10
10
01
11
10
10
10
11
01
11
10
00
00
10
11
00
00
10
01
00
11
10
10
00
00
00
10
11
00
10
11
11
10
00
10
10
01
11
01
10
00
00
11
00
00
11
10
10
10
00
00
00
10
00
01
01
01
00
10
10
11
10
00
10
00
10
10
10
00
10
00
01
00
11
10
10
10
10
01
10
01
00
10
11
11
10
00
11
10
00
10
00
00
10
10
10
11
10
01
10
11
00
10
10
10
00
11
10
00
00
10
11
00
10
11
00
00
10
00
01
00
00
10
10
00
00
01
01
00
01
00
01
00
10
10
01
10
10
00
01
10
00
10
00
10
00
10
11
00
11
00
00
00
10
11
10
00
00
11
10
11
00
11
10
00
00
11
11
00
11
11
00
00
10
00
01
00
00
11
00
00
00
10
10
10
00
00
11
11
10
00
10
00
01
00
01
00
10
10
10
10
00
00
11
10
11
10
01
00
11
10
01
00
10
00
01
00
10
01
01
00
11
00
00
01
10
11
01
01
10
00
00
01
10
10
00
01
01
01
11
01
11
10
00
01
10
10
11
00
01
10
00
11
10
00
10
10
00
00
00
11
11
01
10
10
10
00
01
00
01
10
11
01
10
10
00
00
00
00
10
10
10
01
00
01
01
01
10
01
10
11
10
00
11
10
01
01
00
10
10
00
11
00
00
11
10
00
11
10
00
00
11
11
10
10
10
10
10
10
00
10
10
00
01
11
00
01
01
01
01
11
10
00
10
01
00
00
10
10
01
00
01
11
00
10
10
10
00
00
11
00
01
00
00
10
10
01
00
00
01
00
10
10
00
00
00
10
11
11
00
01
10
00
00
00
00
10
11
00
10
01
00
01
10
00
11
00
10
11
00
00
10
10
00
00
01
11
10
00
00
00
00
00
11
10
11
00
00
11
10
00
10
00
00
00
10
10
10
11
00
01
00
00
10
00
10
00
00
10
00
01
10
00
11
10
00
10
00
10
10
01
10
00
00
10
10
10
10
01
00
11
11
01
00
00
10
10
10
01
00
00
11
10
10
00
01
11
00
00
11
10
00
01
10
01
10
10
00
00
00
10
00
00
10
00
00
11
00
11
00
10
11
00
10
01
10
10
11
10
01
11
10
00
00
11
00
10
10
10
10
01
11
00
01
10
00
00
11
10
11
10
00
00
00
10
00
01
10
10
10
10
00
10
11
00
00
10
10
01
10
00
11
10
00
10
11
01
10
00
10
10
01
10
01
10
10
01
10
00
10
01
01
00
10
10
00
01
10
10
00
01
11
00
01
00
11
00
10
10
10
00
00
01
10
11
10
01
10
01
01
10
00
00
00
11
00
00
10
00
11
10
10
10
10
10
01
00
11
11
00
01
11
01
10
10
00
10
10
00
10
10
11
01
10
00
01
11
01
00
00
00
10
01
10
01
00
11
10
11
00
00
10
01
10
10
10
00
10
10
11
00
01
00
10
00
10
01
01
11
10
01
11
01
01
00
01
10
00
11
10
00
11
11
10
11
10
11
00
10
10
00
00
01
00
10
10
00
11
10
01
00
00
10
00
00
10
01
00
00
01
01
00
10
00
01
11
10
10
00
01
10
10
10
01
10
00
00
10
00
00
01
10
00
01
10
00
10
11
10
01
00
10
01
00
11
11
10
00
10
10
00
11
01
10
00
00
10
00
11
11
01
11
10
00
00
11
11
00
00
11
10
01
10
00
00
10
00
10
10
00
01
01
00
00
00
00
01
10
11
10
11
10
00
00
01
00
10
11
00
10
10
00
00
01
10
10
10
01
11
10
01
10
10
00
10
10
11
11
01
00
10
00
10
10
00
00
11
10
00
00
10
11
00
00
10
01
00
01
00
10
10
11
01
00
11
10
10
00
10
00
11
10
00
00
10
00
10
10
00
10
00
11
01
01
00
11
00
01
00
00
11
00
00
11
11
00
10
11
10
01
00
10
01
10
00
01
10
11
10
10
01
11
11
10
10
01
10
10
00
11
11
11
00
10
00
00
10
00
11
11
00
00
11
10
00
10
01
00
01
11
11
10
01
00
10
00
00
10
11
01
01
01
00
01
11
00
10
10
01
11
00
00
10
10
10
00
00
10
10
00
00
10
11
00
10
10
01
11
00
11
10
11
10
00
11
10
01
11
11
00
11
00
00
10
10
00
01
10
10
11
11
10
00
10
10
10
00
00
00
10
10
10
11
00
10
10
00
00
11
10
00
00
00
10
10
11
10
00
11
10
00
00
10
00
10
10
00
10
01
10
10
00
00
10
01
00
00
00
11
10
11
10
00
11
00
11
10
01
11
11
10
11
00
01
10
11
11
00
00
10
10
00
10
10
00
11
00
10
10
00
01
10
10
01
00
11
00
10
11
11
01
01
01
10
10
11
10
00
00
10
10
01
10
01
10
00
00
11
00
11
10
01
10
11
00
10
01
00
10
10
00
00
10
00
10
01
10
01
00
10
00
00
10
01
00
11
00
10
10
10
01
00
10
10
10
00
00
00
10
01
00
10
01
00
01
11
01
10
10
00
10
10
11
00
01
11
11
00
10
01
00
00
10
01
00
10
10
10
10
11
10
00
11
10
10
01
10
01
11
11
00
11
11
10
10
01
10
10
00
11
10
00
10
10
10
10
00
10
01
10
01
10
01
00
10
10
00
00
00
10
11
00
10
10
10
00
00
10
10
00
00
01
10
10
01
00
00
10
00
01
01
11
10
01
11
01
00
11
00
00
11
10
10
00
10
01
00
10
00
11
10
00
10
10
01
00
00
00
10
10
01
10
11
11
00
10
10
01
00
01
11
10
00
10
00
00
11
11
10
10
00
00
10
00
01
00
10
11
00
00
00
10
00
01
00
00
11
01
00
01
10
00
01
11
10
00
01
11
01
01
10
01
00
00
10
10
00
00
10
11
00
11
10
11
11
01
01
10
01
00
00
00
10
10
01
00
00
10
10
11
01
01
00
00
01
01
01
10
10
00
00
10
01
10
10
10
00
01
01
01
00
11
00
00
11
10
10
00
11
00
10
00
10
10
10
10
10
10
00
00
10
10
10
00
11
00
00
00
10
11
10
00
01
11
10
00
00
00
10
10
10
01
00
10
11
10
10
00
10
10
00
11
00
00
11
01
11
01
00
00
10
10
00
01
10
10
10
10
10
11
11
00
10
01
00
11
00
00
10
10
00
00
11
10
01
00
11
10
10
00
00
11
10
11
01
11
00
01
00
01
10
01
01
10
01
11
10
10
11
01
00
01
10
00
00
01
00
11
10
00
10
00
10
10
11
10
11
01
10
01
10
11
10
10
01
00
11
10
10
00
00
10
00
01
11
11
01
11
00
10
11
01
00
10
10
01
10
11
10
11
00
10
01
00
11
00
10
01
10
11
10
10
01
10
01
00
10
00
00
10
10
01
00
10
10
10
10
00
10
00
11
10
10
00
00
01
00
10
10
00
00
10
10
10
00
01
00
11
00
00
00
10
11
10
10
10
00
01
10
10
01
10
10
10
00
00
10
11
11
10
00
00
10
00
00
10
11
10
01
00
00
11
01
01
00
10
10
11
01
10
11
00
01
10
00
11
10
01
11
00
10
11
01
00
01
10
10
10
10
01
00
10
10
01
00
00
10
10
00
10
11
01
11
10
10
01
00
10
10
10
11
00
01
00
01
11
11
10
10
11
00
10
11
00
01
00
00
10
00
01
11
10
00
11
10
01
00
01
00
11
10
10
01
01
11
10
01
00
01
11
00
00
11
10
01
01
00
10
10
00
11
10
11
00
00
00
01
00
10
01
01
01
00
00
00
11
10
01
10
10
10
00
11
00
10
11
10
01
00
10
11
00
01
01
00
10
01
10
00
11
10
00
11
10
11
00
01
10
10
00
01
00
00
11
00
00
10
10
11
10
00
10
00
00
11
10
10
00
01
00
01
00
00
00
10
11
10
10
00
10
11
10
10
10
11
00
01
11
00
00
00
10
10
00
00
00
10
10
00
01
10
00
00
10
00
01
10
10
00
01
10
10
01
01
01
01
01
10
10
11
00
00
11
10
11
00
10
00
00
11
00
01
10
10
00
10
10
01
00
10
10
00
00
10
00
11
00
11
10
01
00
00
00
10
10
11
10
00
11
10
10
10
01
11
11
11
00
11
10
01
10
11
10
00
11
01
01
00
10
01
11
11
00
00
11
00
10
01
00
10
11
00
01
10
10
11
11
01
01
10
11
10
01
10
00
00
11
10
11
10
00
10
10
01
01
10
11
01
01
01
00
00
10
10
01
11
00
00
11
01
10
10
10
01
00
11
00
10
00
01
10
00
00
01
01
00
00
10
10
00
00
10
10
00
00
00
11
00
00
00
01
01
01
11
10
11
10
11
00
01
10
11
01
01
01
11
00
11
01
01
10
01
00
10
10
00
00
11
10
00
10
10
11
10
10
10
10
01
10
10
00
00
10
11
10
00
10
01
00
01
10
11
11
10
01
00
11
10
10
00
10
11
00
10
11
00
00
00
00
10
00
00
11
10
10
01
10
10
10
00
10
00
10
10
11
10
01
10
00
10
10
00
10
11
01
11
10
00
00
00
10
01
00
00
00
10
00
00
10
11
00
11
10
11
01
00
10
10
10
10
00
01
00
11
11
01
10
11
00
00
00
00
10
10
01
00
10
00
01
11
11
00
11
01
10
10
10
00
01
00
10
11
00
11
10
11
10
00
00
01
10
11
11
01
00
10
10
10
00
10
00
00
11
10
00
10
10
11
01
10
10
11
11
00
00
01
00
01
10
10
11
11
01
00
10
11
10
00
11
00
01
10
10
01
10
10
00
00
10
01
10
10
01
01
00
00
10
10
11
00
11
01
01
00
01
10
10
10
00
11
01
11
10
10
01
00
00
00
00
10
00
01
10
10
00
00
10
10
00
00
00
11
00
00
11
10
10
00
00
11
10
00
00
10
10
00
00
11
10
00
11
00
11
10
00
01
01
10
10
00
01
11
10
10
10
00
10
10
00
00
10
10
01
01
01
10
00
10
00
00
01
10
10
00
10
11
10
10
10
00
01
11
10
00
01
10
11
00
01
01
11
00
11
00
00
10
10
11
10
10
00
00
00
01
10
11
10
01
00
00
01
00
10
00
00
10
00
01
10
11
01
00
01
10
00
11
00
00
01
01
00
00
10
10
11
00
00
00
10
10
10
10
10
10
00
11
10
10
00
00
10
00
00
00
00
11
10
10
00
00
10
00
00
10
10
00
01
01
11
10
00
10
11
10
00
10
10
11
00
01
10
11
10
01
00
11
10
01
10
00
01
10
10
01
11
10
10
10
11
00
01
10
10
10
00
10
10
00
01
10
00
11
01
00
10
10
00
00
10
00
11
10
01
00
01
10
11
00
10
10
00
10
00
01
11
00
01
10
10
00
10
00
01
00
10
10
00
11
00
10
11
10
01
10
01
10
11
01
01
01
11
11
01
11
10
11
00
00
00
10
10
10
00
00
11
10
00
11
00
00
10
00
10
11
00
00
00
11
10
01
01
11
10
10
00
00
01
00
01
10
10
10
00
00
01
00
10
01
00
10
00
10
00
00
01
00
11
00
11
11
01
01
01
10
10
01
00
10
10
00
00
10
11
01
11
10
11
00
00
11
11
01
01
10
11
00
00
01
00
10
10
00
01
10
11
11
10
00
00
00
11
10
01
00
00
00
10
01
10
10
00
10
11
11
11
11
11
11
00
11
00
00
01
11
11
10
00
00
10
01
10
00
10
10
11
11
10
11
01
10
00
00
10
10
00
11
00
00
11
11
00
01
10
10
10
10
00
11
11
01
00
00
01
10
00
01
01
11
00
11
11
01
01
00
00
10
10
00
01
01
11
10
01
11
10
00
00
10
10
10
01
10
00
01
10
00
10
00
11
10
01
01
11
01
00
00
10
10
01
10
11
00
01
10
10
10
00
00
01
00
10
01
01
00
10
01
10
00
10
10
01
00
10
11
10
00
10
11
00
00
10
10
00
11
11
00
10
10
10
00
00
10
10
11
10
01
10
10
10
00
10
11
10
01
01
00
11
01
01
01
00
11
00
10
00
10
10
11
00
10
11
10
00
00
00
00
00
10
11
10
00
01
00
11
11
01
00
01
10
11
11
00
10
10
10
11
00
00
11
11
01
10
00
11
10
00
01
00
10
01
00
10
11
00
01
00
10
00
10
11
10
10
00
10
10
11
00
10
00
10
00
11
10
01
00
10
10
10
00
10
10
00
00
10
10
00
10
10
10
11
11
10
00
00
01
00
00
10
00
01
00
10
10
10
10
10
00
01
00
10
10
11
00
01
01
00
00
00
11
10
00
00
10
10
00
10
11
01
00
10
00
11
00
01
10
10
01
11
00
00
10
00
11
00
11
11
00
00
10
01
10
10
10
10
10
00
11
01
10
00
01
10
11
11
10
10
10
11
01
00
00
11
10
00
01
11
10
00
00
10
10
01
00
01
01
10
11
10
00
10
10
01
10
10
01
10
00
10
10
10
00
10
11
00
00
10
01
11
10
11
00
00
01
10
11
11
01
01
11
00
01
00
00
01
10
11
10
00
10
00
00
10
10
00
01
11
10
01
00
10
10
10
00
01
11
00
00
10
10
00
00
10
00
00
00
00
10
10
10
01
11
00
11
11
00
00
10
00
00
10
10
00
11
10
10
10
00
10
10
00
10
01
00
11
11
11
11
11
00
00
11
11
10
00
01
10
11
00
10
10
01
10
11
01
01
00
10
10
11
10
10
10
00
10
00
10
10
01
01
10
10
00
10
11
01
11
00
11
10
01
10
11
00
01
11
00
11
10
10
10
01
11
11
10
00
00
00
10
11
01
00
01
11
00
01
10
10
00
01
10
10
10
00
11
00
10
10
10
10
10
10
00
01
10
01
01
10
11
01
00
11
11
00
01
10
11
10
00
10
01
10
00
01
00
11
00
10
11
10
10
11
00
10
01
00
10
10
00
11
10
01
00
10
10
10
10
10
10
00
01
11
10
01
10
01
00
10
10
10
00
01
10
00
00
11
10
00
10
10
01
10
00
00
10
10
00
01
00
10
00
01
10
10
11
10
01
11
11
00
11
00
10
10
10
10
01
00
00
01
01
00
01
10
10
10
10
00
00
01
10
10
00
01
10
10
10
11
00
01
00
10
10
00
00
00
10
11
10
11
10
00
01
10
10
10
11
01
00
10
01
00
00
01
11
00
10
10
10
10
10
00
01
10
10
00
10
00
00
10
00
01
10
10
10
00
11
01
01
01
10
11
10
10
00
00
10
11
00
00
01
01
10
10
00
10
11
10
00
11
11
01
11
00
10
10
00
01
10
01
00
10
10
10
00
00
00
10
01
10
11
10
00
00
10
01
00
10
10
00
10
01
00
11
00
01
10
11
00
11
11
10
10
10
01
01
11
11
01
00
10
10
10
11
11
00
01
10
10
10
01
00
01
01
10
00
00
01
11
10
01
11
10
10
00
00
10
11
11
10
00
00
01
00
00
01
01
10
10
10
00
01
01
10
11
10
01
00
00
10
10
00
00
00
00
10
10
10
00
10
00
10
01
11
00
00
10
01
11
10
10
10
01
10
10
10
00
01
11
11
01
10
11
01
00
10
01
01
11
01
10
10
00
10
00
01
00
10
11
01
10
11
00
10
01
00
10
00
11
10
11
11
10
10
01
10
01
00
00
01
11
10
10
10
10
10
00
01
11
11
00
10
00
11
01
00
00
11
10
00
01
00
00
11
10
00
10
00
00
11
00
00
00
00
11
00
10
11
00
11
11
01
01
10
10
00
01
00
11
11
01
10
10
00
11
00
00
10
10
00
10
01
00
01
00
00
00
11
10
10
00
00
00
10
01
00
11
10
10
00
10
00
00
10
10
10
10
01
10
01
00
00
10
10
10
00
00
11
00
00
00
11
11
11
00
00
11
10
11
10
10
01
00
10
00
01
01
10
10
11
00
10
00
01
10
10
00
01
00
10
00
00
10
11
11
01
00
00
11
00
00
10
11
01
10
10
11
01
11
11
00
11
00
00
10
00
00
11
10
00
11
10
10
11
11
00
10
01
01
01
10
11
10
10
00
10
00
11
00
00
00
11
10
00
10
00
01
11
00
10
11
11
00
01
10
00
01
11
11
00
10
10
00
10
00
00
10
10
10
00
00
11
00
11
00
00
10
10
00
01
10
00
00
10
01
10
00
11
10
00
00
10
10
01
10
00
10
00
00
00
00
11
00
00
10
00
00
01
00
11
00
01
11
01
10
01
00
11
00
10
10
00
01
10
01
00
10
01
10
10
00
11
10
11
10
11
10
00
00
00
01
11
10
10
11
10
00
00
01
10
11
01
01
10
10
00
00
11
00
01
11
10
01
01
11
10
10
00
00
10
10
11
01
00
10
11
01
11
10
00
00
10
10
10
10
01
00
10
00
11
01
10
10
00
00
10
00
00
11
01
00
10
00
00
11
00
11
11
10
00
00
11
10
01
00
11
11
10
11
00
00
10
00
00
01
01
11
01
10
11
11
10
10
00
11
10
01
00
00
10
00
00
00
10
10
00
00
11
00
00
00
10
10
00
11
00
00
11
10
11
10
10
00
00
10
10
10
01
00
11
10
00
00
11
10
10
10
10
01
10
10
00
00
00
01
00
11
10
00
01
01
00
00
00
01
00
10
10
11
00
11
11
01
11
00
00
10
00
00
00
10
10
00
10
10
01
11
11
11
11
00
00
10
10
01
00
10
10
01
01
01
00
11
01
00
10
00
00
10
11
00
11
10
10
10
01
00
10
10
01
10
11
00
10
01
10
00
10
10
01
00
10
10
00
10
00
00
00
00
10
11
00
00
10
00
10
10
10
00
10
11
10
10
00
11
00
00
00
00
00
10
00
01
10
10
00
10
11
00
11
10
00
00
11
00
00
11
11
00
00
00
11
01
10
01
00
11
00
10
10
10
00
00
01
01
01
11
01
00
10
01
01
10
10
01
00
10
00
10
00
11
10
01
10
10
00
00
00
10
10
00
00
00
10
10
11
00
01
10
10
11
00
00
00
00
10
00
10
11
00
00
11
10
10
11
11
00
10
10
01
00
00
10
10
10
01
00
01
10
00
11
01
11
11
10
00
01
11
01
01
11
10
00
00
10
00
00
11
10
11
10
00
00
00
10
10
10
00
00
10
00
11
00
00
01
11
00
01
00
01
10
10
00
11
01
01
10
10
10
10
01
00
01
10
00
00
10
00
11
00
01
11
10
00
11
10
11
00
00
00
10
10
00
00
10
01
00
11
00
01
10
00
10
01
00
11
01
10
00
11
01
01
10
10
11
01
01
10
10
01
00
10
10
00
00
00
10
00
11
10
10
10
00
00
00
01
10
00
00
11
01
11
00
00
11
01
00
00
11
10
01
11
00
11
11
00
01
00
10
00
00
10
11
10
00
10
01
00
01
10
11
10
10
01
00
10
11
00
00
00
10
11
00
01
11
10
00
00
10
00
01
10
10
10
10
10
00
10
10
00
00
10
00
00
10
00
00
01
10
10
00
10
00
00
10
10
00
00
10
10
00
00
10
10
11
10
01
00
11
10
00
11
00
10
11
00
00
01
10
10
10
11
10
10
01
10
11
01
01
01
00
10
00
00
10
11
00
00
11
01
01
11
10
01
10
10
10
01
01
10
10
00
00
00
00
10
00
00
11
00
00
10
10
11
01
10
01
00
01
11
10
01
10
10
01
10
11
00
10
10
00
01
10
11
11
00
10
00
10
10
10
00
01
11
10
00
00
11
10
10
00
10
10
11
11
10
11
01
10
11
10
00
00
11
01
10
01
10
00
10
00
00
10
01
00
00
10
00
10
01
00
10
10
01
11
00
11
00
11
11
00
11
10
10
11
10
00
00
00
00
00
00
11
00
01
01
00
00
11
11
10
10
00
00
10
10
10
00
00
00
00
10
10
00
11
00
00
11
00
00
10
00
00
10
10
10
00
10
01
00
00
10
01
10
10
01
00
11
11
01
10
01
01
00
00
10
11
11
00
01
00
01
00
10
00
01
10
10
10
00
01
10
10
00
00
00
01
10
01
10
10
10
01
01
10
10
00
00
11
00
00
00
11
10
01
00
10
00
11
11
00
10
10
01
10
10
00
10
10
00
11
10
00
00
00
01
11
10
11
00
11
00
00
01
10
10
00
10
10
00
00
10
00
00
10
10
00
01
00
01
00
11
10
10
00
10
00
00
11
10
10
00
10
10
00
01
00
11
00
00
10
00
10
00
00
10
11
01
10
01
10
00
01
10
11
10
11
00
00
11
01
00
11
10
00
00
00
10
11
00
10
10
00
00
10
11
00
10
01
00
01
00
01
11
11
00
00
10
10
10
00
01
11
10
10
01
11
00
00
10
11
11
11
00
11
01
10
01
10
10
01
00
00
01
10
11
00
00
10
00
00
01
10
11
00
10
11
10
00
10
11
11
11
01
00
00
01
10
00
00
11
10
00
10
01
10
10
11
10
01
10
10
11
00
01
10
01
00
01
01
10
10
11
00
00
00
11
11
00
00
10
00
11
11
10
01
00
00
10
01
01
01
00
10
10
10
10
01
00
11
11
00
10
10
01
01
01
11
10
00
00
11
00
10
10
00
00
00
10
11
11
10
01
10
11
10
01
01
10
00
11
11
00
10
01
11
00
11
01
01
11
10
01
01
10
10
10
10
00
00
10
00
00
10
00
00
10
10
01
10
10
00
00
10
00
10
00
10
10
01
01
00
00
00
01
01
10
10
11
00
10
10
00
10
10
10
10
01
11
10
10
11
00
11
00
00
11
10
01
00
00
10
00
01
10
00
00
01
10
10
11
01
01
10
00
01
00
10
01
10
11
11
00
00
00
10
10
10
01
01
10
00
00
11
11
10
01
10
00
00
00
00
11
11
10
10
11
00
10
10
10
10
10
00
01
10
00
00
10
10
10
00
00
00
11
00
00
01
11
10
10
10
00
10
10
01
00
00
11
00
00
01
10
10
10
11
00
10
00
11
10
00
01
10
10
00
01
00
10
00
11
10
10
00
10
10
10
10
01
00
00
10
10
10
01
10
11
00
01
00
01
00
11
10
11
01
00
10
10
01
00
11
01
01
00
00
01
11
01
00
11
11
10
10
01
00
10
10
00
10
10
00
10
00
11
00
10
10
00
00
00
11
10
11
00
00
00
10
00
00
11
10
10
00
00
11
00
00
01
00
11
00
01
10
11
00
01
00
11
11
00
10
10
10
00
10
10
00
10
11
10
01
00
00
00
11
10
01
00
10
00
10
10
10
11
01
00
10
00
00
10
11
00
00
00
00
11
00
10
01
10
01
11
00
00
00
01
00
11
10
00
00
00
11
10
10
10
10
00
01
00
01
10
11
10
00
10
10
10
00
11
10
00
00
11
10
01
10
10
00
10
00
00
10
01
10
10
00
01
10
11
11
10
01
10
11
01
10
10
00
01
01
11
11
01
01
00
00
01
11
10
00
00
10
00
11
11
10
00
00
10
10
00
01
01
01
10
00
01
01
01
01
00
10
00
00
10
11
00
00
00
11
00
10
00
00
11
01
00
10
10
01
10
01
00
10
10
00
00
11
10
00
11
01
11
10
11
10
10
10
01
01
10
10
00
00
10
00
10
10
01
01
01
11
10
10
10
10
10
01
00
10
10
10
01
10
01
01
10
11
01
10
00
01
11
00
11
00
10
11
01
11
10
00
00
11
11
10
01
00
11
00
01
00
10
00
00
01
00
00
11
11
00
11
10
00
00
00
00
10
10
10
10
00
11
11
01
00
11
11
10
00
00
10
10
00
00
00
01
10
10
01
11
11
01
00
10
10
10
10
01
00
11
10
00
10
01
01
10
01
01
01
11
10
01
10
10
00
00
10
00
00
10
10
10
01
01
00
10
10
11
00
10
01
11
10
00
00
10
10
00
01
01
00
01
01
00
11
00
10
00
11
10
01
11
10
00
11
01
01
00
10
10
10
10
10
00
01
10
01
00
01
10
00
10
11
10
00
01
11
00
10
10
00
11
10
00
10
10
00
00
10
00
00
11
11
00
00
10
00
10
11
00
01
00
10
11
00
10
10
00
00
00
00
11
10
00
10
10
10
00
00
01
10
10
00
01
11
11
10
10
10
00
11
00
00
10
01
00
10
00
10
00
00
00
01
10
10
00
00
00
11
11
00
01
10
10
10
10
00
10
10
01
10
00
10
00
11
00
10
11
00
01
00
10
10
11
00
11
00
01
11
01
01
10
00
01
10
00
01
11
10
10
11
10
01
11
00
11
00
11
10
00
10
00
11
00
11
10
01
11
10
00
11
00
00
10
00
00
10
01
00
00
01
10
11
00
00
10
00
01
10
11
10
01
00
10
00
10
01
01
00
01
01
10
00
11
10
00
10
11
00
00
10
10
00
10
10
01
00
10
11
00
10
11
00
00
00
00
10
10
01
10
00
10
00
01
10
10
10
10
10
10
00
00
10
00
01
00
10
01
10
01
00
00
00
10
10
00
00
10
10
10
01
10
10
11
00
01
10
11
00
00
10
10
00
00
00
00
00
00
11
00
11
00
10
11
01
00
11
00
01
01
00
11
10
10
00
10
10
11
01
00
10
11
00
10
11
01
01
11
00
00
01
11
00
00
00
10
01
10
10
10
11
01
01
00
00
11
00
01
01
00
10
11
10
10
01
00
10
10
00
11
01
00
01
01
00
10
01
11
10
01
01
11
11
10
10
00
10
11
10
01
01
11
00
00
11
10
01
11
10
01
10
10
00
10
01
10
00
10
01
01
01
11
10
00
10
11
01
00
10
00
00
11
11
11
00
01
00
11
10
10
00
00
10
10
10
00
10
01
01
00
01
00
01
01
00
10
10
11
10
10
10
10
00
00
00
00
00
10
10
00
11
00
10
00
01
10
10
11
10
01
01
00
00
11
10
01
10
11
11
00
01
10
10
00
00
00
00
10
00
11
00
10
00
11
10
00
10
10
01
10
10
01
00
10
10
00
01
00
00
11
00
10
11
10
11
00
00
00
11
10
00
00
10
00
00
01
10
10
01
10
00
00
01
01
00
00
10
11
00
10
00
01
00
11
10
00
10
10
10
01
00
10
00
10
10
01
10
00
10
10
10
10
00
01
10
01
00
00
00
10
10
00
01
10
10
10
00
11
00
00
11
01
00
00
11
11
00
00
10
01
01
11
11
10
10
11
01
01
00
10
01
01
01
00
10
10
10
00
10
01
00
10
10
00
10
10
00
10
11
10
10
01
10
00
00
10
10
10
10
00
00
11
10
10
00
10
10
10
10
00
00
00
10
00
01
10
10
00
01
00
11
10
00
01
10
00
10
00
01
11
00
01
11
11
00
11
10
01
01
11
00
00
10
00
00
01
11
10
01
10
10
10
10
01
00
10
11
01
00
11
10
11
10
00
00
10
00
11
11
01
00
10
00
11
10
01
00
01
01
10
00
10
11
00
11
10
11
10
10
10
01
00
00
11
11
00
01
00
10
10
00
00
00
00
10
10
00
00
11
11
00
00
01
00
00
11
10
00
00
11
10
01
00
00
10
10
11
01
10
10
11
11
00
10
01
10
10
10
10
01
01
00
10
10
00
10
11
11
01
00
10
00
01
00
00
11
10
10
10
10
00
00
00
00
10
10
11
10
10
10
01
11
01
00
10
10
10
01
00
00
10
00
00
11
01
00
11
11
10
10
01
01
10
11
10
01
00
10
00
11
10
00
10
01
00
11
00
00
00
00
10
10
00
00
00
00
00
00
10
00
10
10
10
01
11
10
00
10
11
01
01
10
10
00
00
10
10
11
10
11
01
11
00
00
10
11
10
01
01
00
00
10
10
10
00
00
10
01
00
00
00
11
11
01
01
00
10
10
01
00
10
11
10
00
01
00
10
10
10
10
00
01
00
00
10
00
00
11
11
00
10
00
10
11
11
00
01
00
10
11
00
01
00
00
11
00
00
00
00
00
00
11
01
00
01
01
10
11
10
01
00
10
10
11
00
01
00
10
10
00
10
10
00
11
01
11
10
10
10
00
00
01
01
11
10
10
00
01
01
00
01
11
11
00
01
11
10
10
00
01
00
00
00
10
10
01
01
10
01
11
00
00
10
01
00
10
10
01
00
10
01
00
00
10
01
11
01
00
01
00
10
10
10
01
01
10
11
00
00
10
00
10
10
10
00
00
10
11
10
10
00
11
00
10
11
00
11
10
10
10
00
00
01
00
01
10
10
10
00
00
00
11
10
01
10
11
01
10
10
01
11
10
00
00
11
01
00
10
01
01
10
00
00
11
11
10
10
01
01
00
01
10
01
00
11
10
11
10
01
11
10
11
11
10
01
10
00
01
01
01
10
10
11
10
10
00
00
10
10
00
00
00
11
01
01
01
10
10
00
10
10
01
00
01
10
00
10
10
10
10
10
00
10
01
10
11
11
00
00
10
11
00
00
10
00
11
11
10
01
11
10
00
10
11
00
10
00
00
11
10
11
11
00
10
11
01
00
10
10
10
10
01
00
00
01
10
00
10
10
10
01
10
11
00
10
11
10
10
00
00
11
10
10
00
01
00
10
01
10
10
01
10
10
01
00
00
01
10
00
01
00
01
10
10
00
10
10
00
01
11
01
00
00
11
10
11
10
11
01
11
10
10
10
00
01
10
01
01
01
10
00
00
00
00
10
00
00
00
10
00
00
10
11
00
10
01
11
00
01
01
11
00
10
00
01
00
10
11
00
00
00
00
11
01
10
01
10
10
01
00
01
00
10
10
10
01
00
10
11
00
00
10
10
10
10
11
01
11
11
11
01
01
11
10
10
11
00
00
00
11
11
00
01
01
11
10
10
11
00
01
01
10
10
11
00
01
10
10
00
01
10
10
10
00
10
10
00
00
10
00
00
01
01
01
00
10
00
11
00
10
10
00
10
11
10
01
11
01
00
00
00
11
00
01
00
10
00
00
00
11
10
00
00
10
10
01
10
00
00
00
10
10
11
00
00
01
00
00
00
10
11
01
10
10
00
01
10
00
00
10
10
01
01
01
00
00
10
10
10
00
10
10
00
00
10
00
11
00
01
00
10
10
11
11
10
00
00
01
00
10
01
11
11
01
10
10
00
11
01
10
11
00
11
11
01
00
00
10
00
01
10
10
00
01
00
10
10
10
00
00
00
01
10
11
10
01
01
10
01
10
10
00
10
10
11
10
01
00
00
10
11
10
00
00
10
00
00
10
01
10
11
10
10
01
11
10
01
10
10
11
11
01
10
01
00
00
00
00
01
10
00
00
00
10
00
10
01
10
01
00
10
01
00
01
10
11
00
10
00
00
11
11
11
10
11
01
10
01
01
11
10
10
00
10
11
10
10
01
10
00
10
00
01
01
10
10
10
01
00
00
10
10
00
00
01
10
01
00
10
10
11
00
00
00
10
10
01
11
01
11
01
10
10
01
10
10
00
00
11
00
00
00
10
10
00
00
10
11
11
00
01
11
10
11
10
11
00
00
00
00
10
00
10
10
00
10
00
10
11
00
11
11
01
10
11
00
11
10
10
00
01
00
11
10
11
00
00
10
10
10
00
11
10
00
10
01
11
00
10
00
11
00
00
11
10
11
01
11
00
10
00
00
11
11
10
11
00
10
10
00
11
01
01
00
11
10
11
10
10
01
11
01
11
01
10
00
10
01
01
10
11
11
00
01
11
10
01
00
10
00
11
11
00
10
10
11
00
00
00
10
10
00
01
11
10
00
10
10
10
11
10
00
10
10
10
00
10
00
10
11
10
00
00
00
00
10
10
00
01
11
11
11
01
00
00
10
11
01
10
10
01
01
01
11
11
00
10
01
00
01
10
10
00
11
11
10
10
01
00
00
11
00
10
11
01
10
11
10
01
10
10
10
00
01
10
10
01
10
01
10
00
00
00
01
11
10
00
10
11
01
00
10
11
01
01
00
10
00
11
10
01
00
11
11
01
01
10
11
00
10
01
01
10
11
00
00
10
11
10
00
00
10
10
00
10
01
10
11
10
10
10
00
11
10
10
00
01
10
10
10
00
00
00
00
00
10
00
00
00
00
10
00
00
10
10
11
01
00
11
10
01
10
00
10
10
01
10
10
00
00
11
01
10
10
10
00
10
10
00
11
01
00
00
00
10
00
10
10
00
01
00
01
00
10
00
10
00
00
10
10
10
01
10
00
11
01
11
01
01
01
00
10
01
10
10
11
00
01
10
11
01
01
00
10
10
10
00
01
11
11
11
10
10
00
10
11
10
00
00
10
10
01
10
11
10
10
11
11
00
11
10
11
00
01
01
00
10
10
10
01
10
10
00
00
10
00
10
10
01
10
10
11
10
10
00
10
11
01
01
01
01
00
00
10
00
01
10
10
00
00
01
11
11
10
00
00
11
10
11
00
00
11
10
01
11
11
00
11
10
10
00
00
01
10
10
01
11
10
01
10
10
00
00
00
01
10
10
00
10
00
10
01
01
00
00
10
11
10
10
10
01
01
00
10
10
00
10
11
00
00
01
11
10
00
00
11
01
00
10
11
10
00
10
10
00
00
00
01
00
10
00
10
10
11
01
11
01
10
10
00
00
10
10
00
01
10
10
00
11
00
10
00
10
10
11
01
10
11
10
10
00
00
01
00
00
01
10
11
11
01
00
00
00
11
10
01
10
10
10
00
00
11
10
01
11
01
11
10
10
00
00
10
10
00
00
00
10
00
11
00
10
10
00
11
00
11
10
00
11
01
10
10
10
00
10
11
11
01
10
01
00
00
00
10
10
00
10
01
01
00
00
11
00
11
01
00
01
00
11
10
10
11
10
00
00
10
10
01
10
01
00
11
10
11
00
10
10
00
10
10
10
11
10
00
10
10
00
01
10
00
01
11
11
10
00
00
01
11
00
11
00
11
00
00
10
10
11
01
10
11
11
01
10
00
10
00
01
10
00
01
11
01
00
11
00
11
00
00
10
11
00
00
00
10
00
10
10
10
00
00
00
00
00
11
10
10
10
00
10
10
00
00
10
11
01
10
10
10
01
00
00
11
10
01
00
11
01
10
00
11
11
01
10
10
10
00
00
10
00
00
00
10
10
11
10
00
10
10
00
00
11
01
11
00
01
11
10
10
10
11
00
10
11
10
01
10
10
10
10
10
00
10
11
00
11
10
00
00
10
11
10
01
00
11
00
01
10
11
00
01
10
10
10
00
10
00
10
00
10
11
01
11
00
00
00
11
00
00
01
11
11
10
11
10
11
00
00
00
00
10
11
01
01
01
10
01
11
10
10
10
01
01
01
10
10
10
01
00
10
11
00
10
10
10
10
00
00
10
11
00
11
10
01
00
01
00
00
10
10
10
00
00
11
10
11
00
10
00
00
10
10
01
00
00
10
11
00
11
10
01
11
01
11
10
10
00
00
00
10
10
00
00
01
11
01
00
11
10
00
11
10
00
01
01
00
01
00
10
00
10
10
10
10
00
00
10
10
10
00
00
00
11
10
11
10
00
10
01
10
00
01
11
01
11
00
00
00
01
11
11
00
00
10
10
00
00
00
10
10
01
10
00
00
01
01
10
01
01
10
00
00
10
11
00
00
10
10
00
10
00
00
00
11
10
00
10
00
10
11
00
00
00
00
11
01
11
10
01
11
10
10
10
10
11
00
00
01
10
10
00
10
10
10
11
00
01
00
10
00
00
00
00
10
11
11
00
00
01
00
10
00
10
10
00
10
11
00
10
10
00
00
01
11
11
10
00
00
10
01
01
10
10
00
00
00
10
10
10
10
10
11
10
00
00
11
10
00
01
10
00
10
00
01
10
01
10
10
10
00
11
11
10
01
11
11
11
00
00
01
11
10
11
00
10
00
00
11
01
10
11
01
01
00
01
00
10
10
11
00
00
01
11
11
11
10
00
01
11
00
10
11
10
01
00
00
10
10
00
01
00
10
00
00
11
00
00
10
11
01
00
00
10
10
01
10
10
10
00
01
10
00
00
10
11
11
11
00
00
10
00
00
00
00
10
00
10
10
11
00
01
10
00
10
00
01
00
01
10
00
10
11
11
00
10
11
01
00
10
10
01
00
01
00
11
11
11
10
00
01
01
10
11
11
00
00
10
10
01
00
10
10
00
10
10
01
11
10
00
00
11
00
10
10
10
00
00
11
00
11
11
00
10
00
10
00
00
10
10
00
00
11
10
10
11
10
00
10
10
00
01
10
10
01
10
00
00
11
00
10
10
00
01
00
10
10
01
00
01
00
10
00
00
11
11
10
00
10
00
01
10
00
11
11
10
10
10
10
10
00
00
10
00
00
10
01
01
10
00
10
10
01
00
10
10
00
10
01
10
11
00
10
10
01
11
11
10
01
00
01
10
00
00
10
10
01
11
11
10
01
00
10
10
01
10
10
10
01
10
10
01
01
10
01
10
00
10
00
00
00
01
10
10
00
11
11
00
00
10
10
10
01
00
00
00
10
10
11
00
10
10
00
00
00
01
00
00
10
00
11
00
01
10
10
00
01
00
10
10
00
00
11
01
01
10
11
11
01
11
00
00
10
00
01
10
00
00
10
11
01
00
11
00
00
01
00
11
00
11
11
11
10
10
00
00
11
10
10
00
10
00
00
10
00
10
10
00
00
00
00
00
01
00
10
00
00
00
00
10
10
10
00
11
00
00
01
11
11
11
11
01
10
10
00
00
10
10
00
00
10
10
10
00
10
00
00
00
10
00
00
10
01
10
00
11
00
00
00
10
10
00
10
00
11
10
00
01
00
10
00
10
00
10
00
10
10
10
11
00
10
11
01
11
01
10
11
00
00
00
10
10
00
11
10
10
00
10
10
10
00
11
00
00
01
11
10
10
01
11
00
01
10
00
00
10
00
11
00
01
10
10
00
00
11
10
00
10
01
10
00
11
00
01
01
00
00
10
11
10
01
01
11
11
10
11
10
00
00
11
00
00
01
10
10
01
00
11
00
01
11
11
11
00
01
10
10
10
10
00
00
10
01
01
01
11
11
11
01
00
01
10
00
00
11
10
01
00
11
11
10
00
10
11
00
11
10
10
10
10
00
10
10
00
01
10
10
10
11
01
11
10
00
01
10
00
01
11
00
00
10
11
01
10
10
00
10
10
11
01
01
10
11
10
00
01
00
00
10
11
00
00
11
10
00
10
00
00
10
01
10
11
10
01
11
11
11
01
11
10
11
00
01
11
10
00
01
10
10
01
00
10
10
00
11
11
00
00
00
00
00
01
10
11
00
11
00
10
10
00
10
11
11
00
01
01
10
00
00
01
00
10
11
11
10
01
01
10
01
01
00
11
10
00
11
01
10
10
00
01
10
10
01
10
11
00
11
10
00
01
00
00
10
00
01
00
01
01
11
10
10
10
11
00
00
10
11
00
00
00
01
10
11
10
10
11
00
11
11
10
00
11
01
00
00
10
10
10
11
10
00
00
00
00
00
10
10
10
00
10
11
10
10
00
01
01
01
11
00
10
10
11
11
10
00
01
00
10
10
01
10
10
00
00
10
01
10
10
10
01
00
11
00
00
01
10
01
00
10
10
01
11
10
00
01
00
10
01
00
11
00
10
10
00
10
10
00
00
01
10
10
10
00
00
10
00
01
10
10
11
00
11
00
10
10
00
01
01
11
01
10
00
00
10
00
00
10
10
00
00
10
00
00
00
00
01
10
00
10
10
11
10
10
11
00
00
00
11
00
00
11
11
10
00
01
01
10
10
01
10
01
10
10
10
00
00
10
00
01
10
11
00
10
01
00
00
10
00
10
00
11
01
10
00
00
10
01
10
10
10
00
00
10
00
10
00
11
00
00
00
00
01
01
01
00
10
10
10
00
00
10
11
00
10
00
00
10
01
01
10
10
10
11
00
11
00
00
10
10
01
01
10
11
10
01
10
00
10
00
00
10
11
00
10
10
00
01
01
01
11
10
11
10
00
00
10
11
00
00
10
01
00
10
01
01
01
10
11
10
10
11
10
00
01
00
10
11
00
10
01
11
00
10
11
01
00
00
10
01
11
11
11
00
00
10
11
01
11
11
01
00
11
01
11
11
00
00
00
01
10
11
01
00
00
00
10
00
10
10
00
00
10
11
10
10
11
10
10
11
11
00
10
11
10
11
00
00
10
00
01
10
11
00
00
10
00
11
00
01
11
00
10
01
11
10
11
00
00
10
01
01
01
11
11
00
00
10
01
00
00
11
10
01
10
10
10
00
00
10
01
01
01
11
10
10
00
01
00
10
10
00
00
00
00
11
01
00
10
10
10
01
10
11
00
10
01
00
00
00
10
00
10
11
00
11
01
10
00
10
10
00
11
00
00
10
10
11
01
01
10
01
11
00
10
10
10
00
10
11
01
01
00
10
00
00
10
00
00
11
11
10
10
00
10
10
00
00
00
10
01
10
10
01
10
11
01
10
11
11
10
00
11
10
00
01
00
10
00
00
10
10
00
00
00
00
00
10
10
00
00
10
01
01
10
11
10
00
00
01
00
10
01
00
10
10
10
01
10
10
11
10
10
10
00
00
00
10
11
10
10
00
00
10
11
00
00
11
10
10
10
10
10
00
11
10
00
10
00
01
10
00
10
00
00
10
00
01
00
11
00
11
10
10
10
01
00
10
01
00
11
11
11
10
00
01
00
01
11
01
00
11
10
10
10
00
10
10
11
01
10
10
10
10
00
01
01
10
10
01
00
10
00
00
10
10
00
01
00
10
10
10
00
00
10
10
10
11
10
00
00
01
00
00
01
10
00
10
00
10
01
00
00
10
01
11
11
00
01
10
00
00
11
00
10
11
01
11
11
11
11
11
00
00
00
10
10
00
00
10
11
10
01
00
00
00
11
01
00
00
00
00
11
01
10
10
01
10
00
00
10
10
11
01
01
10
10
10
00
00
01
00
10
10
01
10
01
11
11
11
10
10
10
10
00
01
10
01
00
10
10
01
01
10
00
00
01
00
10
00
11
10
00
01
10
10
00
00
01
00
11
00
10
00
11
10
00
10
11
00
01
01
00
11
00
00
11
11
00
10
01
00
10
10
00
10
10
10
00
11
10
11
00
00
10
00
10
10
11
00
11
10
00
11
11
10
10
11
00
11
01
00
10
10
00
00
10
10
00
11
00
10
10
00
00
10
00
10
01
00
10
10
00
01
10
01
10
01
01
10
10
00
00
11
01
10
11
10
00
00
10
01
10
10
00
11
00
00
00
10
10
01
11
11
00
00
11
10
00
10
10
00
00
00
10
10
10
00
01
00
11
00
10
10
00
11
10
01
00
00
10
10
01
11
10
01
11
11
10
01
01
01
01
00
10
10
01
10
00
00
10
11
00
01
01
00
01
00
01
10
01
00
11
11
00
11
10
10
01
00
11
01
00
10
10
10
00
01
10
00
00
10
10
10
10
01
11
00
01
00
00
01
00
10
10
00
11
10
00
01
10
01
00
10
11
00
00
10
00
01
10
11
00
10
10
11
00
01
10
11
01
01
00
10
10
01
10
10
00
01
00
00
01
11
10
11
01
10
10
10
11
00
01
10
10
10
10
00
00
01
11
10
00
00
10
01
10
01
01
00
01
10
11
01
11
10
10
00
10
10
11
00
01
00
10
01
10
10
00
10
00
10
10
11
10
00
01
11
01
00
01
11
00
10
10
10
10
11
00
00
00
11
00
00
10
01
00
10
10
00
10
00
10
11
01
00
00
10
10
00
01
11
11
01
00
00
00
11
10
00
00
11
01
00
10
11
01
00
11
00
10
11
10
11
01
01
01
10
10
10
10
00
01
10
11
10
11
00
10
00
10
00
01
00
01
10
10
10
00
10
11
10
00
00
10
10
00
00
10
10
00
01
11
01
01
10
00
00
11
00
10
11
00
00
01
10
10
11
10
10
10
00
00
11
10
01
00
11
00
10
11
10
11
10
11
01
10
00
00
00
10
10
01
10
10
10
00
11
00
10
10
10
01
00
00
01
00
11
11
01
01
10
00
00
01
10
10
10
10
10
00
00
10
10
00
00
10
00
10
11
01
10
10
00
11
00
11
00
01
00
10
00
10
10
10
00
01
10
10
10
00
00
10
00
00
00
00
00
01
10
11
01
00
01
10
10
11
10
01
00
10
10
00
10
00
00
11
11
00
10
11
00
10
10
01
01
10
10
11
00
11
00
00
00
10
10
01
00
10
11
00
10
10
00
00
00
10
10
00
00
11
00
00
01
00
01
10
00
00
00
01
11
01
00
01
11
01
11
11
01
00
01
10
11
00
11
11
10
10
00
01
10
00
10
10
10
00
00
00
00
10
00
10
10
00
01
00
10
11
10
01
10
00
00
01
10
11
10
11
00
00
10
11
10
01
00
00
00
01
00
01
00
10
10
11
01
10
10
10
11
01
00
10
10
11
01
00
01
10
00
00
00
10
11
01
01
11
10
00
00
10
11
11
01
00
00
01
00
00
11
10
11
00
01
00
11
00
10
01
10
00
01
00
10
00
00
00
01
11
10
10
00
10
00
10
11
10
10
11
00
11
00
11
00
00
00
01
00
00
10
10
10
01
00
10
10
10
10
11
10
01
01
10
11
11
00
01
10
10
01
10
10
00
10
10
01
00
11
11
10
11
00
01
01
00
01
10
00
00
10
00
00
00
10
00
10
11
01
00
01
10
00
00
10
10
00
01
00
01
11
00
01
00
10
10
00
01
10
01
10
10
01
10
11
10
10
00
01
00
11
10
01
00
01
10
10
10
01
00
11
00
00
00
10
00
10
00
11
00
11
00
01
10
11
10
11
01
00
00
00
10
11
00
01
10
10
00
10
10
01
11
10
01
11
11
10
00
01
01
00
10
10
00
00
01
00
01
10
11
10
11
10
00
10
10
01
10
01
00
11
10
01
01
00
00
10
11
01
11
10
10
00
00
10
10
00
00
10
10
01
00
10
10
11
10
00
11
10
10
00
00
10
11
01
00
10
10
10
10
01
00
01
10
00
10
01
00
01
11
10
00
01
10
11
00
00
00
00
10
00
00
11
10
11
00
01
00
00
01
00
01
10
00
00
00
10
10
01
10
00
10
00
01
01
10
10
01
00
01
00
10
10
01
00
00
10
10
00
10
00
10
10
01
11
11
01
00
11
01
10
11
01
00
10
10
00
01
10
10
00
11
11
00
00
11
01
00
11
01
00
01
10
10
00
10
10
00
01
00
10
10
11
10
00
00
00
11
00
00
10
00
10
00
00
11
10
10
11
00
00
01
10
00
00
00
00
11
00
11
01
10
10
00
00
00
10
10
00
10
10
10
10
10
01
10
00
01
01
10
00
00
10
00
01
11
00
01
00
00
10
11
00
00
11
10
00
11
00
10
00
10
00
00
10
00
11
10
00
10
10
00
00
00
11
00
00
01
00
00
00
10
10
00
11
01
01
01
10
11
00
10
00
00
11
10
00
00
11
10
00
10
00
00
10
00
00
00
11
00
10
10
11
10
01
11
10
00
00
01
10
11
01
10
11
10
10
01
10
11
00
10
10
01
00
11
10
00
00
10
00
10
01
01
00
01
00
10
01
01
00
10
10
00
11
00
11
11
10
10
10
01
01
10
10
00
00
01
10
10
10
10
10
10
10
00
10
01
00
00
01
10
10
10
00
10
01
10
10
00
00
10
10
01
00
01
11
11
00
11
00
10
00
01
10
11
00
00
01
11
10
00
00
10
10
00
10
10
00
10
11
10
01
10
01
01
11
00
01
10
00
10
10
10
01
00
10
10
10
11
00
00
10
00
00
10
10
10
00
01
01
10
11
10
10
10
00
00
10
11
00
00
10
10
10
11
00
01
00
00
10
11
10
11
11
10
10
11
00
00
00
10
10
10
00
00
11
11
10
10
00
10
01
00
00
00
11
00
10
10
01
11
10
10
10
00
11
10
00
00
11
10
01
00
11
10
00
10
01
10
10
11
10
10
01
00
00
01
10
10
01
00
10
10
10
00
11
10
00
10
10
01
10
00
01
10
00
00
10
01
11
11
11
01
01
00
11
10
00
10
10
00
11
00
00
00
10
01
00
10
00
00
10
10
10
00
00
10
01
00
01
10
01
10
11
00
01
11
11
10
00
01
10
00
01
10
00
00
01
10
10
11
01
00
11
01
00
11
10
00
00
11
11
01
00
10
10
01
10
10
00
00
01
11
00
01
00
11
00
00
01
10
10
00
11
10
11
00
10
10
01
01
01
10
00
00
00
11
11
10
11
11
10
01
00
01
10
00
00
11
11
00
10
10
10
00
01
01
00
10
10
00
00
11
01
10
10
01
00
00
01
01
10
00
11
00
00
10
10
11
00
10
11
10
11
11
10
01
00
01
00
11
11
10
10
11
11
00
10
00
01
01
00
11
10
01
10
10
10
01
01
11
00
00
00
00
00
10
01
10
00
11
10
00
01
01
10
01
10
10
11
00
00
10
11
01
00
00
10
00
10
10
00
10
00
01
10
01
10
00
01
10
00
10
10
01
00
11
10
11
10
11
01
00
10
10
10
00
00
10
10
00
00
10
00
00
00
00
10
01
10
10
11
10
10
00
00
10
00
01
01
11
00
10
10
11
00
01
10
10
10
10
00
00
10
10
00
11
10
01
00
10
00
11
10
00
10
10
10
10
10
00
01
10
11
00
10
11
10
10
10
00
11
11
00
00
00
11
11
10
10
10
00
10
11
01
00
00
00
00
10
11
01
01
11
01
01
00
10
10
10
00
00
10
00
00
10
10
01
10
00
01
01
10
11
10
10
01
00
01
01
00
11
01
00
10
00
00
10
11
01
01
10
00
00
10
00
11
00
01
00
00
10
11
00
00
10
10
10
11
10
00
00
00
01
01
10
01
00
00
10
01
10
10
00
01
00
00
00
10
00
10
11
00
01
10
00
11
10
01
01
10
10
10
10
11
00
00
10
10
10
10
00
00
00
10
01
00
10
00
11
01
00
10
10
10
00
10
10
01
01
10
00
01
10
10
01
00
10
10
01
00
00
10
10
01
01
01
00
10
00
10
10
01
10
11
10
10
01
01
10
10
10
01
10
00
00
10
01
10
00
00
10
10
00
00
11
00
00
11
10
10
11
10
00
10
01
00
00
11
11
00
01
00
10
11
01
00
10
00
10
10
10
00
00
10
00
10
00
10
00
10
10
00
10
11
10
10
00
10
10
00
00
10
01
00
10
10
01
00
10
10
10
00
00
00
10
00
00
11
11
11
11
11
00
10
10
10
10
00
00
10
01
10
10
10
10
10
00
01
10
00
00
01
00
10
00
10
10
00
00
10
10
10
11
00
10
10
10
00
00
00
10
00
11
00
01
10
00
11
00
00
00
00
10
00
01
10
01
00
00
10
00
10
00
01
11
11
00
11
00
01
01
00
10
10
10
00
10
11
00
11
00
10
10
10
10
01
00
10
00
10
10
00
11
00
00
00
01
00
00
10
11
10
11
00
00
11
00
01
00
10
10
10
01
11
10
01
01
00
00
10
11
10
00
00
11
11
00
10
11
10
00
10
11
00
00
00
10
11
00
00
00
10
10
11
00
00
11
11
10
11
11
11
10
00
10
00
01
10
00
01
10
10
10
00
00
00
10
10
10
11
10
00
00
00
00
11
10
01
01
01
00
11
11
01
10
10
00
00
11
10
00
10
11
10
01
00
00
10
10
10
00
11
10
10
00
00
00
00
10
11
01
10
00
10
00
01
10
00
00
00
10
11
10
10
11
00
10
10
00
00
01
10
10
00
00
00
01
00
00
10
10
11
11
10
00
00
11
11
11
10
00
01
11
11
11
00
00
01
11
10
00
11
11
00
01
01
00
11
10
10
00
11
00
10
10
00
00
00
10
01
01
11
01
00
11
10
10
01
10
10
00
11
11
10
00
11
00
10
00
00
10
10
10
00
01
10
11
10
10
10
00
00
11
10
00
11
10
11
10
11
10
11
10
00
00
11
00
01
10
10
00
00
01
10
01
00
10
10
11
10
00
00
10
01
00
10
01
01
10
00
00
00
00
10
01
00
01
00
10
01
10
10
11
00
01
10
10
01
11
10
01
10
01
10
10
10
01
00
11
01
00
01
11
00
00
11
11
11
01
01
10
10
10
01
01
11
11
00
00
00
00
10
00
00
10
10
00
00
10
00
00
00
11
10
10
01
10
10
00
00
00
10
11
01
11
10
10
11
00
01
01
11
11
11
00
00
00
11
00
10
00
00
11
01
01
10
01
00
11
10
00
01
10
11
10
10
01
00
00
10
00
00
01
10
00
10
00
01
10
10
11
00
10
01
00
11
11
00
01
11
00
10
10
00
10
11
00
01
10
00
01
10
00
01
00
10
10
10
01
10
10
00
10
11
10
10
00
00
10
01
00
01
11
10
10
11
00
10
00
01
01
00
10
00
11
00
10
00
10
10
10
00
01
11
10
00
10
01
11
00
00
01
10
00
11
10
01
00
11
01
10
10
10
01
00
10
00
00
01
10
00
00
10
00
01
00
00
11
10
00
00
11
11
00
11
11
01
01
10
11
00
00
11
10
00
00
10
11
10
01
00
00
10
00
01
00
00
10
11
01
11
11
00
11
01
10
01
00
10
00
11
11
11
10
00
01
11
11
10
00
00
11
00
01
10
11
10
00
01
11
11
10
01
00
00
00
10
11
10
11
00
11
11
10
10
00
10
10
10
00
00
10
10
01
00
11
00
10
10
10
01
00
01
11
10
01
11
00
00
00
01
11
01
01
00
10
11
10
01
00
11
10
00
11
01
00
10
10
01
10
11
00
01
10
00
11
10
01
01
11
10
10
01
00
10
10
00
00
10
10
00
11
10
10
00
10
10
00
10
00
10
11
11
11
10
10
00
01
01
11
00
10
11
10
00
01
10
10
01
10
00
00
00
11
11
01
10
11
00
11
11
10
00
01
00
01
11
10
11
01
00
00
11
10
00
00
01
10
11
10
00
01
00
00
11
00
11
11
10
00
10
01
00
10
10
00
10
10
10
00
11
00
11
00
01
10
00
00
11
01
00
10
10
10
11
10
00
11
10
00
00
11
10
00
00
00
00
10
11
11
00
00
00
10
01
00
11
00
00
00
10
00
10
10
00
00
01
00
00
00
10
10
00
10
11
11
00
11
00
10
01
00
11
10
01
11
11
10
00
10
11
01
10
01
01
10
10
01
10
10
10
01
00
00
10
11
00
11
01
00
00
10
00
10
10
01
00
01
11
10
01
10
01
10
10
10
10
01
00
11
10
10
10
00
00
10
10
11
11
11
00
00
10
00
00
10
00
00
01
00
10
10
01
10
10
10
00
11
10
10
00
11
11
01
00
10
00
01
10
00
00
00
00
01
11
10
00
11
00
00
00
11
10
10
00
00
10
00
10
00
11
10
11
11
11
01
00
11
01
01
10
11
00
00
11
00
00
10
10
00
01
10
00
11
10
11
00
11
10
01
00
01
10
10
10
01
10
00
00
11
11
01
00
00
00
11
00
01
10
01
01
00
00
11
00
00
00
01
11
00
00
11
10
10
10
00
01
10
01
00
01
01
00
01
10
11
01
00
10
11
00
10
00
00
01
00
10
00
10
00
00
11
10
00
00
10
10
00
01
01
11
10
10
10
10
10
00
01
10
00
01
11
10
10
01
10
01
01
11
10
01
01
10
01
00
11
00
01
10
10
00
00
10
10
10
10
10
01
10
00
10
00
11
00
11
11
00
11
10
01
00
01
10
11
11
01
10
10
00
01
10
10
10
01
10
10
00
10
01
00
01
10
10
10
11
00
01
10
10
11
11
01
01
00
00
00
11
10
00
00
10
11
00
01
00
10
00
00
10
00
00
10
10
10
00
10
00
00
10
00
11
10
10
00
01
10
10
10
00
11
11
10
11
00
01
00
10
00
10
10
01
01
10
11
00
01
10
00
00
00
00
10
00
01
00
11
10
00
01
10
11
01
01
10
00
01
10
00
00
10
10
00
00
00
00
00
11
00
00
00
10
01
10
00
01
01
10
01
01
00
00
10
10
00
11
01
01
10
01
10
10
10
10
11
00
11
00
00
01
10
11
10
10
01
00
11
00
00
10
00
01
11
10
01
00
01
11
11
11
00
00
00
00
10
10
00
00
11
11
00
00
10
01
00
00
10
10
01
10
00
00
01
10
11
00
10
10
00
00
11
00
01
10
00
01
00
10
01
00
10
10
00
10
10
10
00
00
00
10
00
01
00
10
10
01
11
11
00
01
10
11
10
00
01
11
00
01
00
11
00
10
00
00
11
11
10
01
00
00
11
10
11
00
00
01
10
11
11
00
00
00
11
00
00
11
10
11
11
10
00
11
00
00
10
10
00
11
10
00
10
10
00
10
10
10
10
01
10
10
10
11
10
00
00
00
00
10
11
00
01
10
01
10
00
11
00
00
01
00
10
11
00
10
10
01
00
10
10
10
01
00
00
00
00
10
10
11
00
10
10
10
00
00
01
10
10
00
10
00
10
00
10
00
11
10
00
00
00
10
00
10
10
11
10
11
10
00
10
00
01
11
01
10
10
00
11
01
00
10
00
01
10
11
10
00
00
00
01
11
01
10
10
01
01
01
01
10
11
10
11
00
00
10
00
10
11
00
01
10
11
11
00
10
01
00
01
00
10
11
01
10
10
00
01
01
10
11
10
00
11
00
01
10
10
00
10
00
00
11
11
01
01
01
01
10
11
10
00
10
10
10
00
10
10
00
00
00
00
10
00
01
10
10
10
00
10
10
11
10
00
11
00
10
10
10
10
10
10
00
10
00
01
01
00
00
10
10
01
00
10
00
00
10
10
10
11
10
01
11
11
10
00
00
10
01
00
00
11
11
10
00
11
00
10
00
11
00
10
10
00
11
10
00
11
00
10
00
11
10
10
01
00
00
11
10
10
00
00
10
10
01
11
10
01
10
00
10
00
01
10
00
00
10
00
00
00
10
11
10
00
00
10
00
00
10
10
10
00
10
01
10
10
00
01
00
11
00
00
00
10
10
01
00
10
00
00
10
10
01
00
00
11
10
01
11
01
01
00
10
11
00
00
01
10
10
00
00
00
10
00
11
00
00
00
00
10
10
10
11
10
00
00
10
11
11
01
11
11
01
01
10
10
00
00
10
10
00
00
10
11
00
01
10
00
10
10
00
01
10
11
11
01
11
00
00
00
10
10
00
00
10
11
00
01
11
10
00
10
10
01
01
10
10
00
00
11
01
11
11
01
01
00
00
10
00
01
11
11
10
10
00
01
00
11
10
00
10
00
00
10
11
01
00
10
10
10
00
11
10
11
10
00
00
01
00
10
10
01
00
10
01
10
10
00
10
10
10
11
00
00
00
00
00
00
00
11
10
01
00
00
10
01
01
01
11
10
00
00
10
11
00
00
01
10
11
10
00
00
10
00
00
00
11
00
10
10
00
10
11
10
10
10
00
00
11
01
10
11
00
01
11
00
01
00
01
10
10
00
00
00
10
10
01
01
00
00
00
11
10
10
00
10
01
00
00
01
00
00
00
00
10
00
01
11
01
11
10
10
10
01
01
10
10
00
11
11
00
00
10
00
10
10
00
11
00
00
10
00
01
10
11
01
10
00
11
00
11
11
01
01
10
10
00
01
10
10
00
10
10
11
10
00
01
11
10
10
00
01
00
10
10
10
00
00
11
10
01
01
11
01
11
11
00
01
10
00
10
00
00
01
00
11
00
01
10
00
10
10
01
01
00
10
10
10
11
00
00
10
11
00
11
11
10
00
01
11
00
00
11
00
10
00
10
11
01
10
10
00
01
10
10
10
00
00
01
10
10
10
11
10
00
01
00
00
10
11
00
00
10
11
00
01
10
01
01
10
01
00
11
10
10
01
01
10
11
00
00
01
00
10
10
00
11
11
01
11
10
10
00
11
10
10
01
00
10
01
00
10
10
00
01
10
10
00
10
00
00
00
01
01
11
10
10
00
10
00
10
11
00
01
00
01
00
00
00
01
01
10
11
01
11
00
00
10
10
00
00
10
10
11
10
00
10
01
10
11
10
00
10
11
10
00
00
10
00
00
01
01
01
10
11
10
01
00
00
11
10
10
10
00
01
10
10
00
11
10
11
00
01
00
10
00
00
10
11
00
00
00
01
10
01
10
10
00
00
01
10
10
01
10
00
00
11
00
11
11
11
11
10
11
00
01
10
11
00
10
00
10
11
00
10
10
00
01
11
10
00
00
10
00
00
00
11
00
00
11
00
11
00
00
11
10
11
00
00
10
10
00
10
00
00
10
00
00
00
10
10
10
10
10
00
10
01
00
10
10
01
00
00
11
10
01
10
10
11
10
01
10
01
00
11
00
11
10
01
10
11
01
00
11
10
10
00
01
10
10
00
01
11
01
00
10
00
00
01
10
11
00
00
10
10
10
11
10
01
01
10
00
11
10
00
11
10
01
00
00
11
10
01
01
00
11
10
01
00
10
10
00
10
00
10
11
10
10
10
10
10
10
01
00
10
11
01
01
00
01
10
10
01
00
00
00
10
10
01
00
11
10
11
10
00
11
10
00
00
10
10
11
00
00
10
00
11
10
01
10
10
10
01
00
10
10
00
10
11
10
10
01
01
10
10
00
10
10
00
01
01
10
00
01
01
01
11
10
00
01
11
10
00
00
01
10
10
10
00
11
10
00
10
10
01
00
10
01
11
00
01
00
10
01
00
01
10
00
10
10
10
00
01
10
01
10
00
00
00
11
10
00
00
00
10
10
10
10
10
00
10
10
01
01
00
00
01
00
10
00
11
00
10
10
01
00
10
11
00
11
10
00
00
11
10
10
10
01
01
10
11
00
00
01
00
10
00
01
11
01
10
10
10
10
00
00
10
10
10
00
00
10
01
01
11
01
00
10
00
10
10
10
01
00
11
01
10
00
00
01
10
10
10
11
00
11
10
00
00
10
11
00
11
11
10
01
01
10
01
00
11
11
01
01
11
00
00
01
01
11
11
00
10
11
10
00
10
00
00
10
10
11
11
00
10
00
10
00
11
01
00
10
11
11
01
00
01
01
10
10
10
10
11
00
01
10
00
00
10
00
11
00
00
10
00
10
10
00
00
10
00
01
10
11
00
10
11
10
00
11
01
01
10
10
10
10
00
10
00
00
11
00
00
10
00
10
00
01
10
00
00
10
00
11
10
01
00
11
01
10
00
00
00
00
11
11
10
11
01
11
11
10
00
11
00
00
10
11
11
01
00
10
01
11
00
11
10
11
11
11
10
00
00
10
11
00
10
10
01
01
01
00
01
00
01
00
11
10
10
11
10
00
00
00
01
00
00
10
10
00
00
10
10
10
00
00
11
10
00
00
11
11
00
01
00
00
10
00
10
01
10
10
01
10
11
00
01
10
10
00
00
00
10
01
10
00
01
11
10
11
01
11
11
01
00
00
00
10
10
01
10
01
00
00
11
00
00
10
00
00
00
10
00
01
10
10
10
00
01
11
10
01
01
01
11
11
00
11
10
01
00
10
10
01
10
10
10
00
00
00
10
10
11
00
01
01
01
10
10
00
10
10
00
11
10
01
10
10
10
10
10
00
11
00
01
00
11
10
00
10
10
11
00
00
01
11
11
00
01
10
10
10
10
00
00
00
10
10
00
10
11
00
00
10
00
11
00
00
11
10
00
11
10
00
00
10
01
11
10
00
00
10
10
01
01
11
11
00
01
11
01
00
10
11
01
11
10
00
00
00
11
10
00
00
11
11
10
10
00
00
10
00
01
11
11
10
11
01
10
10
00
00
00
00
11
10
00
11
00
11
10
01
00
00
00
00
11
10
00
00
01
11
00
11
10
11
00
01
11
10
10
01
01
01
10
11
11
10
10
10
00
00
10
10
00
01
10
00
10
00
11
10
00
10
10
10
00
00
11
10
11
00
11
00
10
00
00
00
10
00
01
10
00
10
10
01
10
10
00
00
10
10
11
00
10
11
10
10
01
00
10
00
01
10
00
00
11
11
10
01
10
01
10
00
01
11
10
00
00
11
11
01
00
00
01
11
10
10
10
01
01
10
11
00
00
00
01
10
10
10
11
11
00
00
00
01
01
11
10
00
11
00
00
10
00
11
00
00
01
11
10
00
10
10
00
00
10
10
01
10
01
00
10
00
10
00
00
10
11
01
11
10
01
01
10
00
10
00
00
10
11
11
01
00
00
00
11
01
01
10
10
10
10
10
10
00
10
00
00
10
11
11
00
10
10
01
00
00
00
11
11
10
11
11
01
00
00
01
10
10
11
00
00
11
11
10
00
00
10
10
10
00
00
10
01
00
00
10
10
01
00
10
00
00
10
10
11
00
01
10
00
01
00
01
10
10
10
11
01
10
10
00
00
00
10
01
01
11
10
11
00
00
10
10
10
00
01
11
10
10
01
10
11
01
11
00
10
11
00
01
00
00
10
00
10
00
11
10
11
10
00
11
01
10
11
11
00
10
11
00
10
11
01
11
01
00
10
00
11
00
01
00
11
00
00
10
00
00
00
00
10
11
01
00
10
00
11
10
00
10
10
00
00
10
00
11
10
10
00
00
11
00
11
10
00
11
00
00
10
00
01
00
00
11
00
00
01
00
00
11
10
01
00
10
10
11
01
10
10
00
10
00
10
11
01
00
00
11
11
00
00
10
00
01
10
10
11
10
10
00
01
11
00
00
01
01
00
01
01
10
10
00
00
10
00
10
10
10
00
00
01
01
00
11
01
10
10
11
11
11
00
01
10
01
00
11
10
00
01
01
10
00
10
10
00
01
10
10
10
10
00
00
00
01
00
10
10
00
01
11
00
11
01
00
00
00
00
11
00
00
10
11
00
00
00
10
10
11
00
01
00
00
00
10
11
00
00
10
00
00
11
01
11
11
11
10
10
01
10
01
00
11
11
10
01
10
00
01
10
10
10
10
10
00
00
01
11
00
11
10
10
00
01
10
10
00
00
11
00
10
10
00
11
10
01
01
10
01
01
11
01
10
10
01
10
10
01
01
11
11
00
10
01
00
00
00
10
10
10
11
00
10
11
00
11
11
10
00
00
10
10
00
01
11
00
00
11
10
01
10
00
00
00
01
11
00
10
10
10
00
01
11
10
10
00
00
11
01
01
11
11
01
10
00
00
00
10
10
11
10
10
10
10
11
11
00
00
00
10
10
10
00
10
11
11
01
10
00
00
10
00
00
11
10
00
11
00
00
00
00
10
10
11
10
01
10
11
01
10
10
00
11
00
00
10
10
10
10
10
00
01
01
00
00
00
11
11
00
01
10
01
10
10
10
01
10
11
00
01
10
00
01
01
00
10
00
11
10
10
00
00
10
10
01
10
00
00
10
00
10
10
10
10
11
00
11
00
10
00
10
00
00
10
10
10
01
00
11
01
00
11
11
10
00
11
10
00
01
00
00
10
10
11
00
10
11
10
11
10
00
00
10
10
10
00
10
01
00
10
11
10
11
00
00
11
10
00
00
10
10
01
00
01
10
10
01
01
00
01
10
11
10
00
10
01
00
10
10
01
10
11
01
10
11
10
00
01
10
10
00
00
10
01
10
11
01
00
11
01
10
11
10
01
00
10
10
01
10
11
10
01
10
10
00
01
00
01
10
11
10
01
00
00
10
10
10
01
00
10
10
10
10
10
01
00
00
10
10
00
10
11
01
00
10
11
10
01
00
01
11
00
01
10
11
00
10
10
01
11
10
00
00
10
10
10
01
10
00
10
10
01
01
10
00
11
10
00
00
00
10
10
01
00
10
01
11
10
01
10
01
11
00
10
00
00
01
10
11
00
01
10
01
11
11
11
10
11
01
00
10
01
00
10
10
10
00
11
00
11
10
00
10
00
00
11
00
00
00
10
10
10
00
00
10
10
11
10
10
00
10
10
01
01
00
01
01
10
11
01
00
00
00
01
10
10
00
10
10
11
10
10
00
00
01
01
00
00
11
10
10
10
01
11
10
10
00
00
11
00
10
10
01
00
10
00
00
10
01
00
10
10
00
01
01
00
10
00
00
00
00
10
01
00
11
11
00
10
00
10
11
00
01
01
10
10
00
10
01
10
00
01
10
10
10
00
10
00
01
10
11
00
11
10
00
10
11
11
00
00
11
00
10
10
00
01
01
10
00
10
11
10
10
10
00
10
00
10
10
10
01
11
10
00
00
10
01
00
10
10
00
10
10
00
01
01
11
10
01
10
10
01
00
01
10
01
00
11
01
01
11
00
10
10
11
00
00
10
10
10
10
00
00
10
10
00
10
10
00
10
00
00
01
10
11
10
01
01
01
10
11
11
00
00
11
11
00
00
10
00
00
01
11
10
10
00
01
10
01
01
10
10
01
00
01
00
10
10
10
10
11
00
01
10
00
01
00
10
00
10
10
11
10
10
10
11
10
01
00
00
00
11
10
10
00
01
00
10
10
10
11
10
00
10
00
01
10
00
00
11
11
10
00
00
01
11
10
10
00
10
10
00
10
10
10
11
10
01
10
00
11
01
10
11
11
10
00
00
01
10
10
00
10
00
11
01
00
01
10
11
10
11
10
00
00
00
01
10
10
00
10
10
10
10
01
00
00
11
01
01
10
10
11
01
00
10
01
00
10
10
00
10
10
10
11
10
00
00
10
10
01
01
00
11
10
11
11
00
11
10
01
00
11
10
01
00
10
10
10
01
01
00
00
10
00
00
00
00
10
01
00
10
10
11
00
01
01
00
00
10
00
11
10
01
11
10
11
10
01
01
01
11
10
00
10
01
00
11
10
01
00
10
00
00
10
01
01
10
10
00
11
10
01
00
00
10
11
11
00
00
11
10
10
11
10
10
10
01
00
10
10
00
01
11
00
11
11
10
01
10
10
01
00
01
11
00
11
00
11
10
01
10
00
01
01
00
01
10
11
00
10
00
10
11
00
00
10
00
10
10
00
00
10
01
01
11
10
01
10
01
00
11
01
00
10
10
11
00
11
01
10
10
00
10
10
10
00
10
11
11
00
00
00
10
10
10
00
00
10
00
00
00
10
10
10
01
00
00
00
00
11
00
11
10
00
01
11
10
10
10
00
10
01
00
10
11
00
11
10
00
10
01
00
10
10
00
10
01
00
00
11
11
10
01
01
11
01
01
00
11
01
01
10
10
00
01
00
00
10
00
01
00
00
01
01
10
11
10
10
11
10
00
01
11
11
01
10
10
00
00
10
10
00
00
11
10
00
10
11
01
01
00
00
11
01
00
10
10
01
00
01
00
01
11
00
00
11
01
00
10
10
10
01
01
10
01
00
00
11
00
10
00
01
10
10
11
01
10
00
01
00
10
11
01
11
10
10
01
10
01
00
00
10
11
10
01
11
10
10
10
00
00
00
00
11
10
10
00
01
00
00
01
10
00
01
00
10
00
00
00
00
10
00
10
00
01
11
00
11
01
10
10
00
11
10
00
01
11
00
01
00
11
11
10
00
11
11
00
01
00
11
10
01
10
10
00
10
11
00
01
00
10
10
10
10
00
11
10
00
10
10
00
01
00
00
10
10
10
00
10
00
01
10
10
10
10
10
10
10
10
10
11
00
00
10
11
00
00
01
10
00
00
11
00
11
11
11
00
01
11
00
00
10
10
01
00
11
10
01
00
11
00
01
11
10
10
01
00
11
10
01
11
10
00
10
00
00
01
10
11
00
00
00
00
11
10
10
00
11
00
00
11
00
00
11
11
11
10
01
10
01
10
10
00
01
10
01
10
00
00
10
10
11
00
10
10
01
10
00
11
10
00
10
10
01
00
11
10
11
01
00
00
00
10
00
01
10
11
10
01
11
10
11
01
00
11
00
00
10
00
01
10
10
10
10
01
10
10
00
11
10
01
11
10
10
11
00
10
10
00
10
11
10
01
10
00
00
01
00
10
00
00
10
00
11
11
11
01
00
00
00
00
10
10
11
01
00
00
00
01
00
00
10
00
00
11
11
00
00
10
10
00
10
11
00
11
11
01
10
11
10
10
00
01
10
10
00
01
00
00
00
10
10
00
00
00
10
11
00
01
00
01
10
10
00
00
01
11
10
00
01
10
11
11
00
11
00
01
00
01
10
10
10
00
01
11
01
01
11
10
00
10
10
00
11
00
01
10
01
10
01
10
10
00
10
00
00
10
01
10
10
00
10
00
00
00
10
00
10
10
00
01
00
00
11
11
01
10
11
00
10
01
00
01
01
10
11
10
00
01
01
11
10
00
01
00
01
00
11
10
00
01
11
10
01
11
01
00
01
10
10
01
01
00
10
10
01
11
00
00
10
01
11
00
00
10
00
11
01
01
00
11
10
00
10
10
10
00
10
10
01
10
10
10
11
00
01
10
10
10
10
10
01
00
00
11
00
00
11
10
10
00
10
00
10
11
00
01
11
10
11
10
10
10
10
00
11
01
11
00
01
10
10
10
00
10
10
01
00
00
00
10
00
00
00
11
00
11
00
00
00
10
00
00
01
10
10
11
00
10
01
01
10
00
00
10
10
10
00
11
10
10
01
11
10
01
11
11
00
01
11
01
10
10
00
00
11
11
01
01
00
10
11
10
00
10
11
00
00
00
11
00
00
10
00
00
00
10
10
00
01
00
11
10
00
10
10
01
01
10
11
01
01
11
11
00
00
11
11
11
00
00
10
00
11
11
01
00
00
10
00
00
11
11
00
00
11
10
00
01
01
00
00
10
10
01
10
01
10
00
00
00
11
10
10
00
00
00
01
00
10
10
10
01
11
00
00
11
11
11
00
00
10
11
10
11
10
01
11
10
11
00
00
11
00
00
10
00
11
10
00
10
00
01
11
11
11
00
01
11
00
00
11
00
01
01
10
11
00
10
10
10
00
11
11
00
00
00
01
00
10
10
11
00
01
10
00
00
11
00
11
00
01
10
10
01
10
00
00
10
10
01
11
10
11
10
00
00
00
10
00
00
10
01
01
11
11
00
10
10
11
10
00
00
10
11
00
01
10
00
10
10
10
00
00
11
00
10
00
00
00
10
10
00
11
00
00
10
10
00
01
00
10
11
00
11
10
01
00
11
10
00
10
01
00
10
00
00
11
11
00
11
00
00
11
10
10
00
11
10
11
11
10
01
00
00
10
00
01
10
11
00
00
01
10
00
11
01
00
10
10
00
10
00
01
00
01
10
00
10
10
11
11
11
10
01
00
00
10
11
10
01
01
00
01
10
10
00
10
11
10
10
00
00
11
00
00
10
10
01
00
00
10
00
10
00
10
11
10
01
10
00
01
10
10
00
10
10
00
00
00
00
01
00
10
00
01
00
10
00
10
10
01
01
00
10
11
00
00
00
00
10
00
10
10
01
00
00
11
00
10
10
10
00
00
11
00
00
11
00
11
11
10
10
10
00
01
10
10
00
00
01
01
00
10
00
00
10
00
01
11
10
00
10
11
00
00
10
01
10
10
10
00
11
01
00
00
10
11
00
11
10
00
10
11
11
00
10
10
10
01
11
10
10
10
01
11
00
00
00
01
00
00
11
10
00
11
01
00
01
11
00
00
11
11
00
10
10
00
00
10
11
10
00
00
11
00
11
00
11
10
01
00
00
10
10
01
00
10
10
00
10
11
01
00
10
00
00
10
01
11
11
00
10
10
01
00
10
11
00
10
00
01
11
10
11
10
10
00
11
10
00
01
00
10
11
01
00
10
11
10
01
10
10
01
00
11
10
01
00
00
11
10
10
00
10
00
00
01
00
01
11
10
10
10
01
10
00
10
10
00
11
00
01
01
10
10
01
00
10
00
00
00
00
00
10
01
01
00
00
10
10
11
10
00
10
10
00
01
00
10
00
00
00
00
11
01
11
11
11
11
00
00
11
10
11
01
00
10
00
01
00
01
10
01
10
00
10
10
10
01
00
00
10
00
00
11
00
00
01
10
00
10
10
01
00
00
01
10
10
00
10
00
00
11
11
00
10
11
11
01
01
10
01
10
10
01
00
10
10
00
00
11
00
10
00
10
10
01
10
10
00
01
10
01
00
00
10
11
01
10
11
00
01
10
10
10
10
00
01
00
00
10
11
11
11
01
01
00
10
11
10
11
00
00
10
00
01
11
00
00
00
11
11
10
10
10
00
00
00
01
11
11
00
00
00
01
10
10
10
00
00
10
00
11
00
10
11
10
10
10
01
10
10
00
00
00
10
00
00
10
00
00
10
10
00
11
11
00
01
10
10
01
11
00
01
00
10
01
10
00
00
01
10
11
00
10
00
10
00
01
01
10
11
11
01
01
10
10
00
00
10
00
01
11
01
01
10
01
00
10
11
10
00
01
11
10
10
00
00
11
10
00
00
11
10
11
11
00
10
10
11
11
10
00
00
10
10
11
10
00
01
00
11
00
11
11
00
00
00
01
11
10
10
11
00
00
10
00
10
11
11
10
00
01
00
11
00
00
00
11
11
00
00
10
00
11
11
00
10
10
11
11
10
01
00
10
01
10
11
10
01
01
11
00
10
00
01
11
10
10
01
01
10
10
10
00
00
10
11
00
10
10
00
11
10
10
10
10
00
01
11
00
00
11
00
10
11
00
01
10
01
11
01
00
11
01
11
00
00
00
10
11
00
01
10
00
10
11
11
11
10
01
10
00
10
10
00
00
00
00
01
10
00
00
10
11
10
00
10
10
00
00
01
00
01
11
10
10
10
10
00
10
10
01
00
10
10
11
10
10
11
01
10
00
00
10
10
00
11
00
01
10
11
10
01
00
10
10
01
01
10
11
00
10
10
00
11
01
11
10
11
01
00
10
11
00
00
01
10
00
00
10
00
01
10
10
00
10
00
00
10
11
00
00
10
00
00
00
01
00
00
11
00
10
10
00
11
11
00
00
10
10
10
00
00
01
11
10
00
00
10
11
00
11
01
10
10
11
11
01
00
10
10
00
10
00
01
10
00
00
10
01
10
01
01
00
10
11
10
10
00
00
01
00
10
10
11
01
11
11
10
00
00
00
00
00
11
00
11
00
10
00
00
01
01
10
10
10
10
10
10
00
10
00
01
10
10
00
00
10
10
10
01
11
11
01
00
01
00
00
01
10
10
00
11
00
00
00
00
10
11
01
01
00
10
10
10
00
11
00
00
00
00
11
10
01
10
01
01
01
10
01
10
10
00
00
10
10
00
00
10
00
01
10
10
10
11
10
11
10
00
00
01
01
00
01
11
10
10
01
10
00
00
10
10
00
00
10
01
00
01
10
10
00
00
10
11
00
00
10
10
10
00
00
00
11
10
00
01
10
10
00
11
11
10
01
00
00
10
10
00
00
10
11
00
01
11
10
10
11
00
01
00
10
11
00
11
01
10
11
01
00
00
10
00
00
10
10
00
00
01
01
10
11
00
10
10
00
01
10
00
00
00
00
11
11
10
00
00
11
00
01
01
11
00
01
10
11
11
01
10
10
10
00
00
10
00
00
00
11
01
10
01
00
10
01
10
10
01
00
10
11
00
11
10
10
00
01
00
00
10
10
10
00
11
10
10
00
10
01
00
00
10
11
00
10
11
01
00
10
11
10
01
01
10
00
10
11
11
10
01
00
00
10
11
11
01
00
10
11
10
00
00
11
10
11
10
01
01
10
11
10
10
10
10
10
00
11
10
11
00
01
00
00
00
00
10
01
00
10
00
00
10
11
00
00
10
00
10
01
10
10
10
01
00
11
00
00
10
10
00
01
10
11
10
00
00
01
01
10
10
00
01
11
10
11
00
10
10
11
00
00
11
10
10
10
01
10
10
00
10
11
00
11
10
01
01
10
00
00
00
10
01
01
10
00
01
00
10
10
01
00
00
10
01
11
11
10
10
10
11
11
11
00
01
10
01
10
10
10
00
10
10
00
00
10
00
10
00
00
11
01
01
00
11
01
01
11
00
11
10
01
00
00
00
11
10
10
00
00
00
11
10
00
00
01
10
10
10
10
10
10
00
01
01
10
11
00
11
11
10
01
11
11
01
11
11
00
01
01
10
10
00
10
00
11
10
10
00
10
10
01
10
01
00
00
00
11
10
10
10
10
01
01
00
01
11
00
00
10
01
10
10
00
00
00
00
00
00
00
10
11
00
11
00
00
00
11
00
01
11
10
00
00
10
11
01
00
11
10
00
10
10
01
01
11
10
00
10
10
10
10
01
11
00
10
00
10
01
00
01
00
11
00
00
00
00
11
00
10
10
00
01
01
10
10
00
00
01
10
11
11
00
00
01
10
00
00
10
00
00
01
10
10
00
10
10
10
10
10
00
00
11
00
01
00
10
00
00
00
01
00
10
10
10
00
00
10
11
10
00
00
10
00
01
10
00
11
10
00
11
00
10
10
01
00
00
01
10
10
00
01
10
01
01
11
00
10
10
11
00
01
00
10
10
10
00
00
00
11
00
10
00
00
00
00
00
01
00
10
10
10
10
01
10
11
01
00
01
00
00
10
10
00
01
10
11
01
00
00
11
00
00
00
11
10
01
10
00
01
10
10
10
11
10
01
10
10
00
10
00
00
10
10
11
00
11
10
00
00
00
01
11
00
00
10
11
01
11
10
00
11
10
00
00
00
10
10
01
00
10
10
10
10
10
10
01
00
00
00
01
10
00
00
11
01
01
01
10
00
10
10
00
00
11
11
01
01
10
10
00
00
10
01
00
10
00
10
10
11
10
01
11
01
10
00
01
10
10
10
10
00
10
10
01
00
01
01
10
11
11
10
00
11
10
00
11
00
01
10
10
01
01
11
00
10
11
10
11
11
00
00
10
01
11
10
11
00
10
10
10
10
00
00
11
10
00
10
00
10
01
10
01
00
00
10
00
00
11
00
11
00
10
00
10
10
01
01
11
00
10
10
01
11
10
01
00
10
10
10
01
00
10
10
00
01
11
00
10
10
00
10
10
00
00
00
10
00
10
10
11
10
01
11
00
00
01
10
10
11
11
11
01
01
10
10
00
00
01
11
11
10
00
01
01
00
10
01
00
10
00
01
10
01
00
11
00
01
10
10
10
00
10
01
01
10
10
00
10
00
00
10
10
10
01
10
01
00
00
10
10
10
00
11
10
10
01
01
01
10
10
01
10
01
00
11
10
10
00
10
11
00
10
00
00
00
11
00
10
00
00
10
10
10
10
00
01
00
00
11
11
10
10
11
10
10
00
10
00
00
10
11
00
00
01
10
11
00
11
00
00
00
00
10
10
11
10
01
00
10
10
11
10
00
10
10
10
00
11
01
00
11
00
10
11
00
01
01
11
00
00
10
00
11
10
00
00
10
10
00
10
00
00
10
01
01
00
11
10
00
00
11
10
10
00
00
01
10
10
10
01
00
10
00
10
10
10
11
00
00
10
10
10
10
11
00
10
11
10
00
00
01
10
01
00
00
00
10
00
00
00
11
10
01
01
11
10
00
10
11
10
00
11
11
01
00
00
01
01
11
00
10
00
10
10
11
00
01
00
10
01
11
00
00
10
10
11
11
00
01
01
00
01
01
11
11
11
00
00
00
01
11
10
00
11
10
01
11
01
11
00
00
10
00
00
11
01
10
10
10
11
00
10
10
01
00
00
00
01
10
10
01
01
01
01
10
11
10
00
01
00
11
11
11
01
00
10
00
10
11
10
10
00
00
00
00
00
00
10
01
10
10
10
01
00
00
10
10
10
10
10
00
00
11
00
00
01
11
10
10
00
00
01
11
11
01
00
01
11
10
10
00
00
11
00
01
10
10
11
11
11
10
00
00
01
10
11
10
11
10
00
01
01
01
00
11
11
00
10
00
11
10
00
10
00
00
00
11
10
00
10
01
10
10
00
10
01
00
01
10
11
00
01
10
10
10
11
10
00
00
11
10
00
00
10
01
00
11
10
10
01
11
10
11
10
00
00
11
10
01
00
10
00
00
00
11
01
00
00
00
10
01
10
01
10
00
10
11
01
01
00
11
00
00
11
11
10
10
10
00
01
10
10
11
00
00
10
10
11
01
01
01
10
10
00
10
00
10
11
00
00
01
10
00
00
00
10
11
00
10
00
11
00
00
10
00
11
10
00
10
11
00
11
01
01
00
00
00
01
10
10
11
00
11
10
10
01
10
01
00
01
11
00
11
10
00
00
00
00
10
10
01
10
00
10
10
01
10
10
00
10
10
10
00
10
01
00
11
00
10
10
00
00
01
00
11
01
11
11
11
10
00
10
01
10
10
00
00
11
10
10
00
01
10
11
00
10
10
00
10
11
00
01
10
10
01
00
00
00
10
10
11
01
10
10
00
01
00
01
00
01
10
01
01
00
01
10
00
01
11
10
00
01
10
00
10
10
11
00
10
01
00
00
01
10
01
00
00
10
10
00
00
10
11
10
00
10
00
10
10
00
01
11
01
10
00
00
11
01
10
11
00
10
11
00
10
11
00
00
00
10
10
11
10
10
10
10
10
01
01
00
10
00
00
01
01
10
01
00
10
11
01
11
10
00
00
00
11
00
00
11
01
10
10
11
00
00
10
10
00
00
11
10
10
00
00
10
01
11
01
11
10
00
10
00
00
00
11
10
10
00
01
10
00
10
00
01
01
10
10
10
10
10
00
00
11
01
10
00
01
11
10
00
10
00
00
00
10
10
01
00
00
10
10
11
10
10
00
00
10
10
01
01
00
10
10
01
01
10
00
00
10
10
10
10
01
11
11
10
00
01
01
10
00
11
00
01
10
10
00
11
10
10
00
00
01
11
10
00
00
00
11
00
11
10
01
00
00
11
00
00
00
11
10
01
11
10
10
00
10
01
00
10
10
11
11
01
10
10
01
00
10
11
00
10
01
00
10
00
10
01
10
00
00
00
01
01
10
10
00
00
10
00
10
11
10
11
00
00
11
10
00
10
00
00
00
11
00
11
10
00
10
01
10
00
00
10
11
00
10
10
10
00
00
00
00
00
11
11
01
01
00
10
10
01
00
01
11
10
10
00
00
01
00
00
11
01
10
10
00
00
10
01
10
00
10
11
01
11
11
00
10
10
01
10
00
00
10
01
10
10
00
11
11
10
01
00
10
10
00
10
10
10
00
01
00
01
00
00
10
10
00
11
11
00
11
01
10
11
00
00
01
01
00
10
10
01
11
10
01
10
10
11
10
00
10
10
11
00
01
10
00
00
00
10
00
10
10
01
01
01
10
10
10
10
00
11
10
01
10
10
01
10
01
11
11
01
00
10
10
00
01
10
11
00
10
00
11
00
01
00
10
10
00
00
11
00
00
00
10
01
01
10
10
11
10
10
10
11
00
00
10
00
10
11
10
00
10
11
01
01
01
00
11
10
10
01
11
10
00
10
10
11
10
10
01
01
10
00
10
00
10
00
11
00
11
01
00
10
01
10
00
00
11
10
10
01
00
01
00
10
11
00
10
11
00
00
10
11
00
00
10
00
11
01
11
00
01
01
01
10
10
01
00
10
11
00
00
00
10
10
00
00
00
10
11
11
00
00
00
01
00
00
11
01
10
10
01
10
11
00
10
10
00
01
11
01
00
11
10
00
10
01
10
11
11
00
10
00
10
00
00
10
10
10
00
10
11
10
10
01
00
00
01
10
00
00
00
01
10
01
00
01
10
10
01
00
11
11
01
11
11
01
10
10
10
01
10
10
00
00
00
01
10
00
10
00
10
00
01
10
00
11
01
01
11
10
10
10
00
00
10
10
00
11
10
00
00
11
00
10
10
00
11
00
10
10
00
01
11
10
10
10
00
00
10
11
00
11
00
10
00
00
00
11
00
11
01
10
01
00
10
11
00
00
00
10
10
00
00
00
10
11
00
01
11
00
10
11
01
01
11
01
00
10
00
10
00
00
10
10
10
01
10
10
11
10
01
00
00
10
10
10
00
01
11
10
10
00
00
01
11
10
10
00
00
00
11
11
01
10
10
10
10
10
11
00
11
10
01
10
01
01
11
10
10
00
00
11
11
10
00
00
01
00
01
01
10
10
10
00
11
10
00
11
10
10
11
00
01
11
10
00
10
00
10
00
11
01
00
10
11
00
01
10
11
00
10
11
00
10
00
10
10
00
10
01
10
00
01
00
01
10
00
11
10
01
10
10
01
00
01
11
11
01
00
01
11
01
01
10
10
01
00
11
00
00
11
10
01
00
00
10
11
11
01
10
11
00
01
11
00
00
00
10
00
01
10
11
10
01
01
00
01
01
10
10
10
00
01
11
00
11
00
10
00
00
00
11
10
01
00
10
01
00
11
00
00
00
10
01
01
10
10
00
00
00
00
00
10
00
11
10
11
00
00
10
00
00
10
10
00
00
00
00
10
01
00
00
11
10
01
00
00
10
00
10
00
10
00
10
10
10
01
10
10
00
00
00
00
01
00
01
10
10
10
01
01
10
00
01
11
00
00
00
11
00
10
10
11
01
01
10
10
01
00
00
00
11
10
00
00
00
10
10
01
11
00
01
10
11
00
00
11
00
01
10
00
00
10
11
11
00
01
11
10
00
01
00
10
10
10
10
11
11
00
00
10
10
10
10
00
11
11
00
00
00
10
00
10
10
00
00
01
01
10
01
01
10
10
01
10
10
01
00
11
10
10
00
00
11
00
10
10
00
01
11
00
10
00
01
10
11
10
00
00
00
11
00
11
10
10
11
10
11
10
00
00
01
10
11
10
10
10
00
00
00
11
10
01
11
10
11
00
10
11
11
00
10
10
00
11
11
00
00
10
00
00
10
00
11
11
00
00
00
00
10
01
01
11
11
11
10
11
11
01
11
11
10
00
10
01
00
11
10
01
00
11
10
10
00
00
11
10
11
01
00
11
10
00
00
00
11
01
01
10
10
11
10
01
01
11
10
10
01
10
11
00
01
11
10
00
00
10
01
00
10
10
00
00
10
00
11
11
11
01
00
10
01
01
11
00
01
10
00
00
00
10
10
11
01
10
01
01
00
01
10
11
10
11
00
00
10
10
00
01
10
10
11
11
00
00
01
01
10
00
10
10
00
10
11
10
00
00
11
00
00
10
00
00
11
10
00
10
01
00
10
00
10
10
00
11
10
01
11
00
10
00
00
10
01
00
00
10
10
01
10
01
00
11
11
00
00
10
10
00
10
10
00
01
10
00
11
00
00
10
11
00
10
10
11
00
00
00
10
10
00
10
00
00
00
10
00
10
00
11
10
01
00
10
10
10
10
01
00
10
11
00
11
10
01
10
11
11
01
11
10
10
01
00
11
10
00
00
11
10
01
00
10
01
11
10
00
00
00
01
00
11
10
11
01
01
10
01
10
01
10
10
11
10
00
01
10
01
10
10
00
10
00
00
11
10
11
10
10
10
01
01
00
10
11
00
10
01
00
10
01
10
11
00
01
00
00
10
10
01
00
10
10
01
00
10
00
01
10
10
00
10
00
11
01
11
10
01
10
00
11
00
11
01
00
00
10
01
11
10
00
01
00
01
10
11
11
00
00
00
00
00
00
00
10
10
10
11
01
00
01
10
01
11
11
00
10
00
10
00
00
10
11
11
10
11
01
11
00
10
10
01
00
01
10
10
00
01
00
00
11
10
00
00
00
00
10
00
00
00
10
10
00
10
10
10
00
10
00
10
00
10
10
11
00
01
00
11
11
10
00
01
00
10
00
10
10
01
01
01
01
00
11
00
01
10
11
00
01
10
11
10
01
00
10
10
11
01
00
11
10
10
00
10
11
00
00
10
00
00
00
11
11
10
00
00
10
00
10
00
01
10
11
10
01
00
00
11
10
01
01
10
10
10
00
00
00
10
00
00
10
01
00
10
10
10
10
10
10
00
10
01
00
10
10
11
10
01
10
00
10
10
10
10
10
01
10
00
00
11
10
00
01
01
00
00
11
10
10
00
01
11
01
01
00
11
10
10
10
11
00
10
10
00
00
00
00
11
11
00
10
00
00
00
11
00
11
10
00
11
00
00
01
00
11
00
11
10
11
10
01
10
11
10
01
10
11
00
00
11
10
01
01
01
00
01
11
10
01
01
11
11
00
10
11
10
00
00
00
10
00
01
10
00
10
10
01
00
00
10
11
10
00
00
10
01
00
00
10
00
00
01
11
00
11
11
10
00
00
10
10
10
01
10
11
11
10
00
00
00
10
01
00
00
10
10
00
10
00
10
01
00
01
10
00
10
00
00
00
00
10
00
10
10
00
00
00
10
01
10
00
10
11
11
00
00
10
10
00
01
10
10
10
00
10
11
10
11
10
01
00
00
01
00
11
10
10
00
00
10
10
10
11
01
00
10
00
00
00
10
01
11
11
10
01
10
01
10
00
00
10
10
01
00
10
10
10
00
10
01
00
10
10
10
00
11
11
00
00
01
10
11
01
11
10
01
00
10
10
00
00
00
10
10
00
01
10
10
01
11
00
10
10
11
11
00
01
10
10
10
00
00
01
10
10
01
00
00
11
10
01
01
10
11
10
01
00
11
01
00
01
10
00
10
10
11
00
00
10
00
10
10
10
00
10
10
01
00
00
01
00
00
10
01
01
11
11
10
11
10
11
01
00
01
11
10
01
10
10
00
00
10
00
01
10
11
10
01
01
11
00
00
10
10
00
01
01
10
10
10
01
10
01
01
10
10
00
10
00
01
11
00
11
00
10
11
10
00
01
10
10
10
00
00
00
11
11
10
00
10
00
01
10
01
10
00
10
11
11
00
01
10
10
00
00
00
11
11
00
01
10
10
10
11
00
10
00
00
10
00
11
10
11
10
00
00
10
00
00
10
10
10
00
00
00
11
00
01
01
00
10
10
00
01
00
00
10
00
10
00
00
10
00
00
10
00
01
11
10
00
10
10
11
01
10
01
00
11
10
00
00
10
10
10
00
01
10
01
00
11
10
11
00
11
00
10
10
00
01
11
10
01
10
11
00
11
10
01
00
10
00
11
10
11
00
00
00
11
10
00
11
10
11
11
11
00
11
00
11
11
01
11
01
11
10
00
00
10
00
00
11
00
11
10
00
10
00
10
00
00
11
10
10
01
11
10
10
10
00
11
10
01
10
10
00
00
10
01
00
10
10
01
00
11
10
00
10
10
00
11
00
01
10
11
01
01
01
11
10
00
10
10
11
00
01
10
10
11
00
00
11
10
10
10
00
00
10
00
01
00
11
00
10
00
10
10
00
00
00
10
11
00
01
00
10
00
11
01
00
01
11
01
10
00
11
00
00
11
00
00
10
10
00
10
01
01
10
01
11
01
01
01
00
01
00
10
11
00
01
10
00
01
01
10
10
11
10
00
11
10
00
00
10
10
11
10
00
10
00
00
00
10
10
00
00
00
11
11
00
01
00
10
10
10
00
11
10
01
01
11
01
01
10
00
00
10
10
10
00
10
11
00
00
11
10
01
10
10
01
01
01
10
10
01
10
10
00
10
10
00
00
10
00
00
00
11
00
11
01
11
10
00
10
10
00
00
10
10
00
10
00
10
00
10
01
00
01
00
10
00
00
10
11
00
10
11
00
10
01
10
11
10
00
00
00
11
00
10
10
00
01
00
01
10
10
10
00
10
00
00
01
11
10
10
00
10
10
00
00
00
10
01
10
01
00
10
10
01
01
00
00
00
01
10
10
10
10
10
00
01
01
00
00
01
00
00
10
10
10
01
01
11
01
01
10
11
00
10
00
00
00
10
10
01
10
01
00
10
01
01
11
10
10
00
01
11
00
11
11
10
01
00
10
10
00
01
01
00
10
10
00
10
10
10
00
00
10
00
00
10
11
00
00
01
10
01
10
10
00
00
11
10
01
10
10
11
11
11
01
11
00
00
00
00
11
11
11
10
00
00
01
01
00
00
10
10
10
10
10
10
00
01
00
00
00
10
10
01
10
11
00
10
01
10
10
00
00
10
00
10
10
11
01
00
11
00
00
10
10
01
10
10
10
01
10
00
11
00
01
11
00
10
11
01
00
10
11
00
11
10
10
01
10
00
01
10
10
00
00
00
00
10
10
00
10
01
10
00
10
00
11
10
11
10
00
01
11
00
01
10
01
10
00
01
00
00
10
10
10
00
11
00
01
00
11
00
00
11
10
00
00
10
10
10
10
01
10
00
10
11
00
00
01
10
01
10
11
11
10
10
00
10
11
11
00
00
10
10
01
11
11
10
10
01
11
00
10
11
00
01
11
00
10
11
01
11
00
00
10
10
00
00
10
10
11
00
10
11
11
10
10
01
00
00
10
01
10
10
11
01
01
01
01
10
11
10
01
10
11
00
00
00
10
01
00
01
10
00
01
00
11
00
11
10
10
01
01
00
10
11
00
11
00
00
11
10
01
00
11
00
01
00
10
01
00
11
00
01
10
10
10
11
00
01
10
00
00
00
00
10
11
01
01
01
00
10
10
11
00
10
00
00
00
00
11
10
11
01
10
10
00
00
01
01
10
01
10
10
10
01
00
10
10
10
10
11
00
01
10
10
00
10
00
00
10
11
01
01
01
00
00
10
10
00
10
00
10
10
00
10
01
01
01
10
00
01
10
11
00
10
01
10
11
00
00
10
10
11
00
00
10
10
11
01
00
00
00
00
10
10
00
01
00
10
01
00
11
11
10
10
11
01
01
10
11
11
00
11
00
00
11
00
10
00
01
11
01
11
10
11
00
11
11
10
00
01
10
11
01
00
11
00
00
00
01
10
00
10
10
00
00
10
10
01
00
01
00
10
10
00
01
10
10
10
00
10
00
01
00
00
01
11
11
01
10
00
11
00
00
00
11
10
11
01
00
10
00
00
10
10
10
10
11
10
00
00
00
01
00
10
10
00
00
10
00
01
11
11
10
00
10
11
00
11
10
00
01
01
01
10
10
00
01
01
10
11
00
00
10
11
01
00
00
10
10
00
11
00
11
10
11
01
10
01
10
11
00
00
10
10
00
11
00
00
00
01
11
00
01
00
11
10
11
01
00
10
10
10
10
10
00
00
00
10
00
10
11
10
11
00
01
00
10
10
11
10
01
10
10
10
11
11
01
01
10
01
01
00
00
01
10
11
10
00
00
01
11
00
01
10
10
10
10
10
01
00
10
10
01
10
00
11
00
00
01
00
01
10
00
10
11
10
10
00
00
11
10
01
10
11
00
11
01
01
10
11
00
10
01
00
10
10
10
00
00
11
10
11
10
10
11
10
01
01
10
11
01
10
10
10
00
01
10
01
00
10
10
00
00
10
00
10
00
01
10
00
10
01
10
00
01
00
11
11
10
10
10
00
01
11
10
00
10
01
00
10
10
11
00
00
10
01
10
10
00
00
00
10
10
10
01
11
01
10
00
01
10
11
00
10
10
01
10
01
10
10
11
11
01
00
01
00
10
01
01
10
10
00
00
00
10
10
10
00
01
01
10
00
10
00
00
10
00
00
10
00
10
11
11
11
00
00
11
11
11
01
00
10
10
00
00
10
10
00
00
10
10
10
00
00
11
01
11
10
11
00
11
11
01
10
10
01
10
10
01
00
00
10
11
10
11
01
10
11
01
00
11
10
00
01
11
11
01
01
00
10
10
00
10
10
01
10
01
00
10
11
01
00
11
11
00
10
11
01
10
01
00
11
00
00
11
10
10
00
01
10
00
11
10
10
10
10
01
10
01
00
11
11
00
00
10
00
01
11
10
10
01
10
10
00
00
11
11
10
11
00
01
11
10
00
01
01
10
10
01
00
10
11
01
10
10
10
10
00
01
10
10
01
10
00
10
11
00
11
01
11
10
01
01
01
10
10
10
10
11
00
10
10
10
01
00
00
01
00
11
00
00
10
00
01
10
10
00
10
10
10
00
01
10
10
10
11
11
10
10
10
00
11
01
00
10
10
00
01
00
00
11
10
01
01
00
10
00
11
10
00
01
01
01
00
10
10
00
00
01
11
10
00
00
01
10
11
11
00
01
00
01
10
00
10
11
00
01
11
11
11
01
01
10
00
01
10
11
00
00
01
00
01
00
11
10
01
00
00
00
11
10
11
10
00
00
10
10
00
00
10
01
10
01
10
10
01
01
01
01
00
10
10
00
10
01
00
10
11
00
00
11
10
00
00
10
11
00
00
01
10
01
10
11
10
00
00
00
00
10
10
00
10
11
11
10
00
00
11
11
00
00
10
10
00
01
01
10
00
00
10
00
00
10
10
00
11
10
11
10
01
10
10
00
10
00
01
10
11
10
01
10
00
01
11
00
00
00
10
01
00
01
11
11
10
01
11
01
10
10
10
11
11
10
01
00
10
10
10
00
00
10
10
00
00
00
10
01
11
11
01
01
10
10
10
00
00
10
11
10
11
10
00
10
11
00
01
00
10
01
10
01
11
00
00
00
10
01
00
10
00
11
11
10
00
00
10
10
00
10
10
10
10
00
00
10
00
00
11
00
00
00
00
00
11
00
00
01
10
00
11
10
00
10
00
00
00
00
10
11
01
10
00
01
11
10
00
00
11
10
10
00
00
10
10
10
11
01
00
10
10
00
00
10
00
10
00
11
00
00
10
00
00
11
00
11
00
10
11
10
01
00
10
10
01
10
11
01
01
00
01
11
11
11
10
00
10
10
00
10
00
01
10
11
10
01
10
01
10
10
10
01
00
10
10
00
00
00
00
00
10
10
01
11
11
11
10
10
10
01
01
01
11
00
00
00
11
10
01
01
11
10
00
10
00
01
10
00
01
10
10
01
00
11
00
00
10
11
10
11
10
01
01
00
01
10
11
00
00
11
00
01
10
10
01
11
10
10
00
01
10
10
01
01
00
00
00
10
10
00
00
10
01
11
10
00
00
00
10
01
00
11
10
01
00
10
10
10
10
00
11
11
00
00
00
10
01
00
00
00
00
00
11
10
10
00
11
10
00
10
10
11
01
01
10
00
11
00
11
01
01
10
11
11
00
00
00
00
00
10
10
00
00
11
10
10
00
10
10
10
10
00
00
01
10
10
00
10
10
01
10
10
00
00
11
01
00
00
01
11
11
11
11
01
01
00
11
00
00
00
11
11
11
10
00
00
10
10
00
00
01
01
00
10
00
11
11
01
00
11
10
00
10
11
01
10
00
10
10
00
01
00
01
10
10
00
00
11
00
01
10
00
00
10
10
10
10
01
11
00
00
00
10
10
01
00
11
10
01
01
00
11
10
11
01
11
00
00
10
10
00
01
11
11
01
00
00
10
10
01
00
10
10
01
01
11
10
10
10
00
00
00
01
10
01
00
00
10
10
10
00
10
11
00
10
00
10
00
01
10
01
10
10
10
00
10
11
10
01
00
10
10
11
10
00
00
10
10
11
00
00
11
01
01
10
01
10
11
11
00
01
00
11
10
10
00
01
11
10
11
00
10
11
00
01
01
11
11
10
00
00
11
10
00
00
11
00
10
10
01
00
01
00
11
00
11
10
00
10
10
00
00
10
11
01
00
10
00
10
10
00
00
01
00
00
10
01
11
00
11
10
01
00
00
01
10
10
00
01
10
11
01
10
10
10
11
10
11
01
10
10
00
00
01
10
10
00
01
10
10
11
00
11
10
10
00
01
01
00
11
10
00
01
00
10
11
10
00
00
10
11
10
00
00
00
10
00
01
10
00
10
00
10
00
00
10
11
01
10
01
11
10
00
10
10
00
00
11
01
10
10
00
11
10
00
11
11
00
10
10
00
00
01
10
01
01
00
00
10
10
10
00
10
10
11
00
10
10
11
00
00
10
00
00
01
10
10
10
00
00
11
10
01
00
10
00
11
00
01
11
10
11
01
10
00
00
00
10
10
00
10
11
01
10
00
00
11
10
10
11
00
00
00
10
00
11
10
00
00
00
10
00
00
10
00
11
11
10
10
10
00
01
01
10
10
00
11
11
00
01
10
00
00
10
00
00
10
11
01
10
00
00
00
00
01
10
10
00
10
11
10
00
10
10
11
01
00
11
10
10
00
11
10
10
00
01
00
10
00
00
10
11
11
10
00
00
00
00
10
10
10
00
01
00
01
00
00
11
10
10
10
00
01
00
01
10
01
01
10
00
00
00
00
00
11
00
00
11
01
10
10
00
11
10
00
00
10
00
00
00
00
00
10
11
01
10
10
10
00
11
00
00
01
00
10
10
00
00
10
11
10
11
01
11
00
11
10
01
01
01
11
10
10
01
10
10
10
01
01
00
10
10
01
00
00
00
10
10
00
11
11
10
10
11
10
00
10
10
00
00
10
10
10
00
00
01
10
01
00
10
00
10
00
00
10
01
00
01
01
11
01
11
00
10
00
00
00
10
01
00
10
00
00
11
11
10
11
00
10
00
00
00
00
10
10
11
01
01
10
11
00
00
11
10
00
01
10
11
01
00
11
10
00
01
11
11
10
01
00
01
10
01
10
11
01
00
01
10
00
00
10
10
01
11
11
11
00
01
10
10
10
01
01
10
11
11
10
01
01
00
10
00
01
10
01
00
01
00
00
11
10
11
01
00
11
00
11
11
11
01
00
10
10
10
00
10
01
00
01
01
10
00
10
10
10
00
00
10
01
00
10
00
01
10
11
11
01
00
00
00
11
11
00
10
10
10
01
00
11
10
01
10
00
00
11
11
00
00
10
10
00
10
10
10
11
11
00
10
10
11
00
00
11
00
10
01
10
10
10
10
10
10
00
00
01
01
10
10
10
00
00
11
00
10
00
00
01
10
10
00
00
00
01
01
10
00
11
10
00
00
00
00
10
11
11
00
11
10
00
10
00
00
01
10
00
10
00
11
00
00
10
10
11
00
00
10
10
10
10
00
01
01
01
10
10
00
11
10
01
00
10
11
00
10
10
00
00
11
11
10
10
00
00
00
00
00
10
01
10
10
11
00
11
00
11
01
00
00
00
10
11
10
00
01
00
00
10
00
10
00
11
10
00
10
00
10
11
00
11
10
11
10
10
00
11
11
11
11
00
00
10
00
00
00
10
10
01
01
11
00
10
11
00
10
10
10
00
01
10
10
11
00
00
01
10
10
00
11
10
00
00
11
10
10
01
01
01
10
11
01
00
10
00
10
10
00
00
01
11
00
00
01
10
00
10
10
01
10
01
00
11
11
01
00
10
10
00
10
10
01
01
10
10
00
10
10
10
00
00
01
11
01
10
01
10
10
11
00
00
00
00
11
10
10
01
11
11
10
10
00
10
10
00
10
10
01
00
11
10
10
10
11
00
01
10
10
00
01
10
01
10
10
11
00
10
10
00
01
10
11
00
10
10
10
10
00
11
11
10
01
10
01
10
00
00
01
01
10
01
11
11
01
10
01
01
10
10
00
00
10
10
00
00
00
10
11
00
10
00
10
10
10
01
01
01
10
10
11
10
01
01
01
11
10
00
11
00
00
10
10
01
01
10
01
00
11
00
01
10
00
01
00
10
01
00
10
01
01
10
00
11
01
11
10
11
01
00
01
00
10
00
00
10
10
11
00
01
11
00
10
10
01
10
01
01
11
10
01
00
00
00
11
10
00
01
10
11
00
01
00
10
10
11
00
00
10
10
01
01
10
01
00
11
10
00
10
10
00
10
00
00
10
01
00
01
01
10
00
11
01
10
01
00
10
00
00
00
10
10
01
11
10
00
00
01
01
10
00
10
00
00
11
11
10
00
10
00
10
00
00
11
10
00
00
10
11
01
10
00
10
00
10
10
10
00
00
00
10
10
00
00
11
11
00
10
00
11
00
00
10
10
11
10
11
00
10
00
01
01
00
10
10
01
11
10
00
00
00
10
10
01
01
10
10
10
10
10
10
10
01
01
11
11
00
11
00
10
10
10
00
00
00
10
01
11
11
11
01
00
11
00
10
10
00
01
11
01
01
10
10
01
01
01
00
10
10
11
10
11
11
00
00
10
10
01
10
00
10
10
11
00
10
00
01
10
00
00
11
10
01
01
11
10
01
00
11
00
00
10
10
10
01
00
00
10
10
10
11
00
00
10
10
11
00
11
11
00
01
10
10
01
01
11
10
10
00
00
10
10
01
00
00
11
11
00
11
10
11
10
00
00
01
10
10
10
01
10
01
00
00
00
00
10
11
10
01
01
11
11
01
00
10
01
00
10
11
00
01
11
10
01
01
11
00
10
10
01
00
10
10
01
00
00
10
00
00
00
10
11
10
00
10
11
00
00
00
10
01
11
00
00
01
11
10
00
00
10
10
10
01
11
00
10
10
01
10
01
10
00
10
11
00
00
11
10
00
11
01
01
01
00
00
10
11
01
10
11
11
10
00
10
10
01
11
10
00
00
10
01
01
10
11
11
00
10
10
01
00
01
11
00
00
01
00
11
00
11
00
00
10
00
10
00
00
10
00
00
00
00
01
10
10
10
11
00
01
11
11
11
10
10
00
11
00
00
11
10
10
00
00
10
11
10
00
10
11
00
01
01
10
10
00
10
11
01
01
11
11
00
00
00
10
10
10
00
01
10
00
11
00
00
10
00
10
10
11
10
11
01
01
11
00
00
00
10
00
00
10
10
00
01
10
00
01
00
00
10
10
10
01
00
11
00
00
01
10
11
00
10
10
10
11
00
00
11
00
01
10
10
00
10
10
10
01
00
10
00
01
11
10
10
00
01
11
11
00
00
10
00
11
00
01
10
01
10
10
00
10
10
10
10
00
10
00
10
01
10
00
00
01
01
00
10
11
00
11
10
00
11
00
00
00
10
11
00
11
10
00
00
10
10
10
00
00
00
11
01
10
10
00
00
00
00
00
01
11
10
00
10
10
00
10
10
00
10
00
10
11
01
01
10
11
10
00
01
11
11
10
10
00
01
01
00
11
10
01
00
00
00
11
10
00
01
10
10
00
10
11
00
00
01
00
01
00
10
00
01
10
00
00
10
10
00
00
01
10
10
10
00
00
11
11
10
11
10
00
10
10
00
01
01
00
00
00
11
10
01
00
10
00
10
00
01
00
10
10
10
00
11
10
10
00
10
10
10
00
11
01
00
11
11
00
11
11
00
00
11
11
10
00
00
00
10
01
11
10
10
00
11
00
00
10
01
00
01
00
01
11
10
11
10
11
10
10
00
10
10
00
00
10
01
00
11
01
11
11
00
01
10
11
10
10
00
00
00
00
10
10
00
00
00
10
10
10
00
01
10
11
10
10
01
00
00
01
10
11
01
00
01
00
00
10
00
01
01
10
00
10
10
00
01
11
00
00
10
10
11
00
01
10
01
00
00
10
10
11
01
01
10
11
10
10
01
01
10
10
11
00
00
00
11
01
10
01
10
11
00
00
00
11
10
01
01
10
10
01
00
01
10
11
00
10
00
10
10
00
00
00
00
10
10
00
00
11
10
10
00
11
10
01
01
01
01
11
10
10
01
01
10
10
00
01
10
01
10
10
11
00
10
00
11
10
10
10
01
11
11
00
11
11
00
00
10
00
00
10
11
00
01
10
00
10
10
00
00
11
11
10
00
11
10
00
01
10
11
01
11
00
10
01
01
00
01
10
10
01
10
00
10
01
01
10
00
10
01
10
11
11
01
11
10
11
11
01
00
00
11
00
01
11
10
10
00
10
00
10
10
00
00
11
00
10
01
11
10
01
10
00
10
10
01
10
00
11
01
00
00
00
10
10
10
00
11
10
10
10
01
10
11
01
01
01
10
00
11
10
11
11
01
11
10
01
01
10
10
01
00
00
00
11
10
00
00
11
10
11
10
11
11
00
00
10
10
01
10
10
00
10
10
00
10
00
00
00
00
00
10
00
01
11
10
01
11
10
11
10
00
00
00
11
10
00
10
01
00
10
10
10
01
00
11
01
00
10
10
10
11
00
00
00
11
10
11
10
01
10
10
00
00
10
10
10
10
11
00
10
10
00
10
10
11
00
11
00
00
10
00
11
01
00
10
10
11
00
10
10
00
00
10
00
10
10
00
10
10
00
00
10
00
01
11
10
00
11
11
10
11
11
01
00
11
00
10
00
01
01
11
10
01
01
00
10
10
10
00
00
10
11
00
01
00
10
01
10
10
11
10
00
10
01
11
00
01
10
10
10
10
00
01
10
11
01
01
00
10
11
10
01
01
01
11
01
10
01
00
10
10
00
01
11
10
01
10
11
10
00
01
10
10
00
10
10
01
10
00
00
11
10
10
10
00
01
10
11
00
00
00
10
00
00
01
11
10
01
10
10
11
00
00
10
11
01
00
01
01
00
11
11
10
00
10
10
00
01
01
10
10
00
01
01
01
01
00
10
01
00
01
11
10
11
00
10
01
00
11
01
10
10
10
00
10
01
00
00
00
01
01
00
11
01
00
00
10
11
00
00
01
11
11
00
00
01
10
11
11
00
01
10
10
10
10
00
00
10
10
10
10
11
00
01
11
10
01
01
00
01
00
11
10
10
11
00
11
00
11
00
11
10
00
00
10
00
01
10
10
11
01
11
11
01
10
11
01
00
01
10
11
00
10
00
00
00
11
10
00
00
00
10
11
01
10
11
10
00
10
10
00
00
00
11
10
10
10
10
00
00
00
00
00
11
01
01
01
10
00
01
10
00
00
01
10
10
11
10
01
10
11
00
00
11
10
10
00
10
10
10
11
10
00
00
00
00
11
00
11
10
00
10
10
10
10
11
01
00
10
00
00
10
10
11
10
01
10
00
00
00
10
11
11
10
10
00
01
00
00
11
01
00
10
01
10
11
10
10
01
10
00
10
00
00
01
11
00
01
11
10
11
00
10
00
10
10
11
11
00
00
00
00
01
00
10
11
10
00
00
10
10
10
10
01
10
10
10
10
10
00
00
10
11
10
00
00
10
10
10
10
00
10
11
00
00
10
10
00
10
01
00
10
00
00
00
11
11
01
00
00
10
11
10
00
10
10
00
11
00
00
01
00
10
10
10
01
11
11
10
11
11
00
00
00
00
11
11
00
11
00
01
10
00
01
10
11
01
00
01
10
10
10
00
01
10
10
10
10
00
00
11
00
10
00
00
01
00
11
11
00
11
10
10
00
10
10
00
00
00
00
10
01
00
10
00
10
01
10
11
00
11
11
00
01
10
00
00
11
11
01
10
11
00
10
01
00
11
10
11
01
00
00
01
00
10
10
11
00
11
00
00
01
00
10
00
10
10
00
10
01
10
01
00
00
00
01
01
11
10
00
10
10
10
00
10
00
10
10
11
11
00
00
10
00
00
10
00
11
10
00
00
00
00
11
10
10
01
10
10
10
10
00
10
00
00
10
00
10
10
11
01
01
01
10
11
00
00
11
10
10
10
01
00
01
11
10
00
00
00
10
10
10
01
00
11
10
00
10
10
11
00
10
11
00
00
01
10
00
00
10
01
00
01
11
10
00
10
10
11
11
00
10
10
10
11
00
00
11
00
00
10
00
10
00
10
11
00
11
00
00
00
00
01
10
10
00
00
00
10
00
01
01
00
01
10
01
10
01
01
01
00
11
00
00
01
01
10
11
01
01
10
10
00
11
11
01
00
10
01
00
11
01
10
10
11
11
10
10
01
01
10
10
00
11
10
10
10
00
10
01
10
00
00
10
01
01
11
10
01
11
00
01
10
11
10
01
00
10
00
00
10
10
00
00
10
10
00
00
00
00
10
10
11
10
10
00
01
11
10
00
00
01
01
10
10
00
00
11
10
10
00
11
01
10
10
00
11
00
10
00
01
00
10
11
10
10
10
10
01
00
10
10
00
10
00
00
10
00
00
11
00
11
00
00
10
10
01
00
00
10
11
01
01
01
01
11
01
01
10
11
00
00
00
10
10
00
11
11
11
10
11
00
00
10
10
10
01
00
11
11
10
10
10
10
11
10
00
10
10
00
11
10
00
11
11
00
00
00
00
00
10
01
11
00
11
00
00
10
01
11
00
10
10
11
10
11
00
10
10
00
11
11
01
00
00
01
10
01
00
11
10
10
00
10
10
01
00
10
11
11
00
01
01
10
01
10
11
10
10
00
01
11
10
00
00
10
00
00
10
11
11
11
00
00
10
11
00
01
10
10
01
01
00
00
00
10
00
00
11
01
01
10
01
00
11
11
11
10
00
10
00
10
10
10
01
00
10
11
11
10
11
11
00
10
00
10
10
11
01
01
10
11
11
01
10
00
00
10
10
00
01
11
11
10
00
00
10
10
11
01
00
00
10
10
11
10
10
00
00
10
00
00
00
00
00
11
00
01
10
10
00
10
11
10
10
01
01
10
10
01
00
10
10
10
10
00
01
01
00
11
01
01
01
10
10
11
10
00
00
00
11
10
10
01
10
00
00
10
10
11
10
11
00
10
00
00
00
00
01
10
11
00
01
01
10
10
00
00
10
00
00
10
11
00
11
00
10
11
00
10
10
11
00
01
10
00
01
00
11
00
01
11
11
11
10
00
00
10
10
00
00
10
00
00
00
01
11
10
00
11
00
10
01
11
10
10
11
00
01
10
11
01
10
10
00
00
10
10
00
00
10
10
10
11
01
11
00
10
11
11
00
01
10
00
01
00
10
11
10
01
00
10
00
10
11
11
00
00
00
00
11
00
00
11
00
00
10
00
00
00
10
00
10
00
10
00
10
11
00
00
00
01
10
00
11
10
10
01
01
00
10
00
11
11
00
10
00
10
10
00
00
11
10
11
00
01
10
11
00
00
11
10
01
10
10
00
01
10
00
01
10
01
11
00
10
00
00
11
00
01
01
00
11
10
10
10
01
11
11
11
00
00
11
00
01
00
01
11
10
00
01
00
00
00
10
11
11
10
00
10
11
10
11
10
00
10
11
00
01
10
10
00
01
00
10
01
10
00
10
10
01
11
10
00
00
00
10
01
10
11
00
00
00
10
00
00
11
10
11
00
10
01
10
10
10
10
01
00
00
11
01
00
11
10
10
00
00
10
10
00
00
11
00
10
01
00
00
00
00
01
10
11
10
00
00
00
01
10
10
10
10
01
00
10
00
01
10
11
11
01
10
10
01
10
00
00
10
00
11
00
00
10
10
01
10
11
10
10
10
10
10
00
00
11
10
00
00
01
01
00
11
10
11
00
00
10
11
10
01
00
11
00
00
10
10
00
00
01
11
11
10
00
01
10
10
10
01
00
10
00
10
11
11
01
01
10
00
01
00
00
00
10
10
10
00
00
01
11
10
11
01
10
01
00
01
00
10
10
10
00
01
00
11
10
00
10
00
00
11
10
00
10
10
11
01
01
10
11
10
10
10
00
10
11
00
10
01
10
00
11
00
00
00
00
10
11
11
11
01
00
01
10
11
10
01
01
00
10
11
00
00
10
11
10
11
00
01
01
01
11
00
11
10
11
01
01
10
01
10
10
10
10
01
10
00
01
01
00
10
01
10
10
00
00
01
01
00
11
01
11
10
00
00
10
00
01
10
01
10
10
00
11
01
11
10
00
00
00
10
00
10
10
01
01
10
10
00
00
10
01
00
10
00
10
11
10
11
00
10
11
11
01
00
10
11
00
10
00
01
10
01
10
00
00
11
11
10
00
00
00
10
11
11
11
00
00
10
11
11
01
10
11
01
11
10
00
00
10
00
01
00
11
10
00
10
00
10
10
00
00
10
10
11
01
01
10
10
00
11
00
11
11
01
10
00
00
00
10
00
10
10
00
01
10
10
10
00
10
00
10
10
11
00
01
11
00
00
10
01
00
10
10
00
11
10
10
00
10
11
10
11
00
00
00
10
00
01
01
11
10
11
10
00
10
01
10
11
01
00
00
11
10
00
10
11
10
00
10
10
11
10
11
00
00
11
00
10
10
11
00
11
10
10
00
10
00
00
01
10
10
01
00
11
10
00
10
10
01
00
11
11
11
10
00
10
11
00
11
00
00
10
10
10
00
00
10
11
11
01
00
00
00
10
00
00
10
10
00
00
11
00
00
11
10
00
10
10
00
00
10
10
10
00
10
00
00
00
00
00
00
00
10
10
10
10
11
10
00
00
10
00
01
00
11
00
01
10
00
00
00
00
00
11
10
10
01
00
10
10
00
11
10
00
10
10
00
00
10
11
00
11
00
00
00
01
10
01
00
11
00
10
00
00
11
00
10
10
10
10
11
00
00
01
11
01
01
00
10
10
10
10
01
00
10
10
11
10
11
10
00
11
10
00
10
00
01
01
01
01
11
11
10
01
01
00
10
10
01
00
10
10
01
00
00
00
11
00
11
10
00
11
10
01
11
00
00
11
10
11
11
00
00
10
11
00
00
11
10
00
00
10
10
10
00
00
00
11
01
00
10
00
00
11
00
10
00
00
10
00
10
11
00
11
10
10
00
01
10
11
10
00
01
01
10
10
10
01
00
00
00
00
11
10
00
00
00
10
00
00
10
01
10
00
00
11
00
11
10
10
01
01
01
00
01
10
01
00
00
00
10
00
01
10
11
11
00
00
00
01
10
10
10
10
10
01
10
01
00
11
00
00
10
10
10
00
00
10
01
10
00
00
00
01
00
01
00
10
11
11
01
00
10
10
00
01
10
11
00
11
11
00
11
10
00
00
00
01
11
10
10
01
00
10
10
10
11
10
00
11
10
11
00
10
00
10
10
11
10
00
00
00
10
10
00
00
10
00
00
00
10
00
10
00
00
10
11
01
10
01
01
10
00
10
00
00
10
10
10
10
01
10
10
10
10
00
00
01
10
00
11
10
01
10
01
11
00
00
00
00
10
01
00
01
10
10
00
10
00
00
10
10
00
10
00
00
10
10
10
11
10
11
00
11
10
01
01
00
00
00
00
11
11
00
00
10
10
00
00
11
00
11
10
00
10
01
00
01
00
10
01
11
00
11
11
11
01
00
11
10
10
00
00
01
00
11
11
01
00
01
10
00
00
10
01
00
11
10
11
00
00
00
00
10
10
00
01
10
10
10
11
10
11
00
00
10
00
10
11
01
00
00
10
10
10
10
11
01
10
01
01
01
01
01
10
11
10
00
00
10
10
00
10
00
11
00
10
10
11
10
11
01
10
10
00
10
11
10
00
00
10
10
11
11
01
01
00
11
10
10
10
10
00
00
00
11
00
01
10
00
01
10
01
00
10
01
01
01
10
00
00
00
00
10
11
10
01
10
00
01
00
11
10
00
00
00
00
10
10
00
10
10
01
00
01
01
10
11
10
01
00
10
10
00
11
11
00
00
11
11
01
00
11
10
10
01
11
10
01
00
00
01
10
00
00
10
10
10
00
00
10
01
10
11
00
00
00
10
00
10
00
00
11
11
10
00
10
11
10
10
00
11
10
11
01
00
00
00
00
11
00
01
11
10
10
00
10
00
00
11
00
00
00
00
10
01
00
01
01
11
10
11
10
00
00
00
10
10
00
11
10
00
00
00
00
01
10
10
01
01
00
00
00
10
10
01
10
10
00
00
00
10
00
01
10
00
10
10
01
11
10
00
00
10
10
10
01
01
10
11
10
10
00
01
10
10
10
01
00
10
00
11
10
00
11
10
01
00
11
10
10
01
00
10
10
11
01
10
11
01
00
00
01
10
10
10
01
00
00
11
00
01
10
10
01
00
11
00
10
10
00
01
10
11
00
11
11
11
11
01
01
11
11
01
00
11
01
10
11
01
01
01
00
00
11
10
10
10
10
00
11
10
00
11
00
00
11
00
10
11
00
00
00
11
11
11
11
00
11
01
10
10
01
01
10
10
00
01
10
00
01
10
11
10
00
11
11
00
10
10
00
00
11
10
10
10
00
11
00
00
10
01
00
00
10
11
00
11
10
10
10
10
01
01
11
11
01
01
11
01
01
01
11
11
10
01
00
10
10
10
11
10
00
01
00
10
00
00
10
11
00
01
01
10
10
10
00
01
10
10
01
01
10
10
10
00
10
10
01
00
10
10
11
11
10
11
01
10
10
10
01
00
11
00
11
10
00
10
10
00
00
00
10
00
01
00
10
10
11
10
10
01
01
10
01
00
11
10
00
10
00
10
11
01
11
00
00
00
01
01
01
01
10
01
10
11
00
00
10
10
00
00
00
01
10
11
10
01
00
10
00
00
00
10
10
00
10
10
11
10
10
10
10
00
00
10
10
10
00
10
10
10
11
11
00
01
10
10
11
00
11
00
00
11
11
01
00
00
10
10
00
11
10
00
10
01
10
01
11
01
10
00
10
10
11
00
01
10
11
11
00
01
00
10
01
00
10
10
01
00
10
11
00
10
10
01
10
11
10
00
11
10
00
10
00
00
11
11
01
11
00
01
00
10
00
01
00
10
10
00
10
00
11
11
10
00
10
10
00
00
00
10
11
00
00
11
00
11
10
00
10
00
00
00
11
10
10
10
00
10
10
00
01
10
01
01
10
11
11
10
10
00
00
10
10
00
00
00
11
10
00
00
10
00
10
11
11
01
00
10
10
01
00
10
11
10
01
00
10
00
10
11
00
00
11
10
00
11
10
01
10
10
00
00
11
01
01
10
00
10
10
01
01
10
00
10
10
10
11
11
00
10
00
01
00
11
11
00
00
10
10
01
00
10
01
11
01
10
00
01
10
10
00
00
00
11
00
01
10
10
01
01
11
11
11
00
00
11
01
00
10
10
10
10
10
00
00
10
10
00
00
11
11
11
11
00
01
10
00
00
10
11
11
00
00
11
11
10
10
01
01
00
01
10
11
10
00
00
00
10
10
10
01
10
10
01
00
10
00
10
10
11
10
10
11
00
01
00
10
00
10
00
11
00
00
00
10
10
00
10
10
10
10
00
10
01
00
00
01
00
10
10
00
01
11
11
01
01
10
11
10
00
10
11
01
00
11
10
00
10
11
00
10
10
01
10
11
00
01
01
10
10
10
10
00
11
10
01
01
10
01
11
10
01
10
11
00
10
10
00
10
10
10
00
00
00
00
01
10
11
00
00
11
00
01
10
10
01
10
00
10
00
00
11
10
10
10
10
10
10
00
10
10
10
01
00
01
10
11
10
11
00
00
01
00
00
10
10
00
01
00
11
00
10
01
00
10
00
01
10
10
00
11
10
11
00
01
10
00
00
11
10
00
10
00
10
01
00
01
00
11
00
10
00
11
11
10
11
01
00
01
10
10
01
10
10
01
01
00
01
00
11
00
01
10
11
10
01
00
00
11
10
00
00
00
10
10
11
00
10
10
10
00
10
10
00
00
01
11
11
00
01
11
11
11
00
00
10
00
11
10
10
00
00
11
01
10
01
10
10
11
00
01
10
10
10
10
00
00
10
10
00
10
10
00
10
01
01
00
00
00
10
00
00
11
11
10
01
11
11
10
11
11
10
10
00
00
11
11
01
00
11
11
11
00
00
11
00
01
11
10
00
00
10
10
10
00
10
10
11
10
01
00
11
00
10
11
00
01
10
01
01
00
01
11
11
01
01
01
10
01
00
00
10
10
11
11
00
01
00
10
00
01
11
10
01
01
10
10
00
00
00
10
01
00
10
00
10
10
01
00
00
10
11
00
01
11
10
00
00
00
00
10
00
00
10
01
01
10
10
00
11
11
00
10
10
01
10
00
00
10
00
00
10
00
10
11
10
10
01
00
11
01
00
00
10
10
10
00
00
11
00
00
00
10
11
01
11
10
01
11
10
11
00
01
10
00
00
11
01
10
00
01
10
00
00
01
01
10
00
10
00
01
10
10
00
00
00
10
00
11
10
01
00
00
10
10
10
10
00
10
11
01
10
00
10
01
00
11
11
00
11
01
01
10
01
01
11
11
01
00
10
00
00
01
00
00
10
10
00
10
01
10
00
01
01
10
10
01
11
00
00
01
00
10
00
00
11
00
00
10
01
00
00
00
10
11
10
00
00
00
11
01
11
11
11
11
01
10
10
01
10
10
00
01
11
01
10
01
10
10
00
01
01
11
10
00
10
10
10
00
00
00
10
11
10
01
11
11
00
11
00
00
00
11
10
00
01
10
11
10
11
01
00
10
01
01
10
00
00
10
10
00
10
10
10
00
00
11
01
00
01
11
10
01
01
01
01
00
10
10
00
01
01
10
10
10
00
01
11
00
10
00
10
10
11
00
10
10
11
00
01
00
10
00
00
10
01
11
10
10
10
01
11
10
01
00
11
10
10
00
01
10
00
00
10
10
11
00
10
10
10
10
00
00
01
00
00
11
00
00
10
10
01
00
00
11
11
00
00
10
10
10
10
11
10
00
11
11
10
10
10
10
10
00
11
00
01
10
11
01
11
00
10
10
00
00
10
00
10
00
01
10
10
00
10
00
01
00
00
00
10
11
10
11
00
00
10
11
01
11
01
00
10
10
01
00
10
10
00
11
11
01
01
11
00
00
00
10
10
00
01
10
00
00
00
10
01
11
00
11
00
10
00
00
11
10
01
00
10
10
10
10
01
10
10
00
10
01
01
11
10
11
11
10
00
01
11
11
00
01
10
01
10
11
01
01
10
10
11
00
10
11
10
00
00
11
10
11
00
00
01
01
11
10
10
01
00
10
00
00
00
10
11
10
10
10
10
00
00
10
10
10
11
00
00
10
11
10
10
00
00
11
00
11
10
10
11
10
00
00
00
10
10
10
00
00
01
00
10
00
10
10
10
11
00
00
00
10
11
10
10
00
00
00
00
10
00
00
01
00
01
00
01
10
11
11
01
10
11
00
00
00
11
11
10
00
10
11
01
10
10
00
11
01
10
11
00
01
10
10
10
00
11
10
00
01
10
10
00
11
00
10
00
11
10
00
10
00
10
11
11
10
01
00
01
00
11
10
00
11
00
00
10
00
11
01
10
10
11
01
00
10
01
10
01
01
00
00
11
00
11
10
11
00
11
11
00
11
10
00
00
10
10
00
00
10
00
10
00
00
00
00
10
11
10
01
10
00
00
01
10
10
11
00
10
10
01
00
11
01
10
10
10
10
01
01
00
10
10
00
00
00
00
10
10
10
00
01
10
00
00
00
00
00
11
10
10
00
10
00
10
00
11
10
00
00
00
11
10
00
10
11
11
10
10
00
00
00
00
10
01
11
11
00
10
11
11
00
01
10
11
00
10
00
11
10
00
11
10
10
00
10
10
11
10
00
10
10
01
00
00
10
10
00
00
11
01
00
10
00
00
10
01
11
00
00
00
00
10
01
00
00
11
01
01
00
00
01
01
01
11
11
00
01
10
00
00
11
10
10
01
00
01
10
00
10
00
00
10
00
00
10
00
00
10
10
10
00
00
11
11
10
10
00
10
11
10
00
11
10
10
00
01
10
00
10
01
10
11
00
10
10
00
01
10
10
01
01
00
01
11
10
10
01
01
10
00
00
00
01
00
11
11
00
11
11
01
10
00
00
00
10
11
00
00
10
00
10
00
00
10
00
10
11
01
00
00
10
01
10
00
00
10
10
00
00
00
10
01
10
10
10
00
00
10
00
01
01
10
00
10
01
01
10
01
00
10
10
01
00
10
10
01
00
11
10
00
11
00
00
00
11
01
10
01
10
01
00
11
01
10
10
00
10
00
01
11
11
10
01
10
10
00
00
00
10
01
00
00
00
11
00
10
10
01
10
10
00
11
11
00
00
10
00
01
00
00
11
01
00
01
01
00
11
10
11
10
10
00
10
11
00
10
10
00
01
11
00
01
00
10
11
01
00
10
10
00
10
10
10
00
00
10
10
01
10
00
00
01
00
01
01
10
10
00
10
00
10
11
00
00
00
11
10
00
00
10
10
00
01
11
00
11
01
10
10
00
01
00
11
10
10
01
00
10
10
10
00
10
01
10
01
00
00
10
00
11
10
00
00
10
11
11
10
00
10
00
10
10
00
01
11
00
00
10
10
11
01
01
10
10
00
00
00
01
10
01
00
10
10
00
00
10
10
00
10
10
11
01
01
11
11
00
10
00
00
00
10
00
01
10
10
11
11
00
01
10
10
10
01
10
10
11
01
11
10
00
10
00
10
01
11
10
00
00
11
10
10
00
10
10
00
10
00
00
10
11
00
10
01
11
10
01
00
00
00
11
01
11
10
01
10
11
01
00
11
10
01
01
11
01
00
01
11
00
00
11
11
00
10
00
10
01
01
10
11
00
01
01
01
11
10
01
00
00
11
10
00
00
11
00
00
10
00
00
11
00
00
10
00
00
10
00
00
10
10
11
00
00
01
00
10
00
11
11
11
01
10
01
11
00
01
10
10
00
00
00
00
00
10
11
01
00
10
10
00
11
00
00
10
10
11
10
10
10
00
01
10
00
00
11
10
10
00
10
10
00
00
11
00
00
01
00
11
01
10
00
11
10
00
00
10
11
01
00
11
01
00
10
00
00
10
10
00
10
00
01
00
01
10
10
00
01
11
10
11
00
10
00
10
10
10
00
01
01
10
10
00
00
10
00
00
10
10
00
00
10
01
11
00
10
00
00
01
10
00
10
00
00
11
00
11
10
00
11
00
11
00
10
10
00
00
10
11
00
01
00
11
00
11
11
00
01
10
10
01
01
11
11
00
00
10
11
10
00
00
10
00
10
10
00
00
00
10
10
10
00
00
11
11
11
00
00
00
00
01
11
11
11
10
00
00
10
10
10
00
00
10
11
00
10
01
00
10
10
10
10
10
01
00
01
01
10
11
10
00
00
00
10
10
01
00
10
00
00
01
10
00
00
10
00
10
00
01
11
00
11
00
10
00
01
10
00
10
11
10
10
10
10
01
11
00
00
10
10
00
10
11
10
10
00
00
00
10
00
10
00
10
10
00
01
00
10
10
01
10
10
10
00
01
10
00
00
10
01
00
11
01
10
10
11
01
00
01
00
00
10
10
00
10
10
00
00
10
00
11
01
01
11
11
01
11
00
11
01
00
10
00
00
11
00
11
01
00
11
01
00
10
00
00
00
00
11
11
10
01
01
01
10
10
11
01
01
10
00
00
11
10
11
10
01
00
11
11
11
11
00
10
11
01
10
11
11
10
10
10
10
00
01
00
11
10
10
11
00
01
01
11
11
01
11
11
01
01
11
11
01
01
10
00
00
11
00
00
10
10
10
10
01
00
01
01
01
00
01
10
00
00
00
10
10
01
11
11
10
00
10
10
11
11
10
01
10
10
00
10
11
00
00
10
10
00
10
10
00
01
00
00
00
00
11
01
00
01
00
01
10
10
00
11
01
00
10
00
10
00
00
11
01
11
00
10
00
01
00
01
11
00
10
10
01
11
11
10
10
10
00
10
00
11
11
00
00
01
11
11
11
00
10
01
00
01
10
10
01
11
00
00
10
11
10
01
10
10
01
00
01
10
00
00
01
01
00
00
11
10
10
10
01
10
11
10
01
00
10
10
10
00
00
00
11
00
10
10
00
10
00
10
00
01
11
10
10
11
00
01
01
01
10
10
00
11
00
01
00
11
00
10
00
11
01
01
10
10
01
10
01
10
00
00
01
00
01
11
10
11
10
01
11
00
01
00
10
11
10
00
01
10
10
00
11
00
01
01
01
11
00
00
01
11
11
11
01
00
10
00
10
10
00
00
10
11
11
11
00
00
10
00
01
10
00
00
01
10
10
10
11
00
00
01
00
10
00
00
10
10
00
11
01
00
10
10
10
11
00
00
10
10
10
01
00
10
01
10
10
11
00
00
00
01
10
00
01
11
00
00
10
11
10
00
01
11
11
01
00
10
00
01
00
01
10
10
10
00
00
00
00
01
11
10
00
01
10
01
10
11
11
00
10
11
00
01
10
10
00
10
11
10
10
00
00
00
10
10
00
00
00
01
10
11
00
01
00
10
11
10
10
00
01
10
10
00
10
10
00
10
11
10
10
01
11
01
00
01
10
11
00
00
10
10
00
10
00
00
10
10
10
00
01
00
10
10
00
11
00
01
00
01
01
01
00
10
01
10
10
10
01
11
10
00
11
01
00
00
10
01
00
00
10
10
10
11
00
11
10
10
01
11
00
01
11
00
00
10
10
01
00
10
10
00
11
00
10
10
01
10
10
01
10
00
10
10
00
00
11
00
10
10
10
00
00
00
11
11
00
10
10
01
10
00
10
00
01
10
10
01
10
10
00
01
10
10
01
01
00
00
10
11
01
00
00
10
10
10
10
00
10
00
11
10
11
00
11
10
10
11
10
00
00
00
11
00
00
10
11
10
00
10
10
01
11
00
10
10
10
00
11
00
01
01
01
01
10
01
11
00
11
01
01
10
00
10
10
01
01
01
11
01
01
11
01
10
00
00
10
00
00
10
10
00
00
01
00
00
10
00
10
10
01
00
00
11
01
00
11
00
01
11
00
10
10
10
01
10
10
01
00
11
11
11
10
10
01
11
01
10
11
00
01
10
11
10
01
11
10
10
01
00
01
10
10
11
10
01
00
00
10
10
11
11
10
00
10
01
00
00
10
01
10
11
10
10
10
01
00
00
01
10
11
01
10
10
01
01
01
00
10
01
00
10
00
11
00
00
00
10
10
10
11
00
01
00
01
00
00
01
10
00
01
10
10
00
01
10
00
10
11
00
00
01
11
00
01
10
11
00
00
10
00
00
11
01
10
00
10
00
11
00
00
00
00
01
00
11
10
01
10
00
00
10
01
00
00
10
10
10
10
01
00
01
10
10
01
10
10
10
00
01
00
00
10
10
01
11
11
01
01
00
10
11
01
01
10
10
00
10
11
10
01
00
00
11
10
00
10
11
00
10
10
00
01
11
11
00
00
00
10
00
00
11
11
01
00
00
00
00
01
01
00
10
11
10
10
11
10
00
00
10
11
00
00
10
10
10
11
00
01
00
00
00
00
00
11
11
10
00
00
01
01
10
01
10
00
11
10
01
01
10
10
10
10
10
00
10
11
01
01
00
10
11
01
00
10
10
00
00
11
10
10
00
10
11
00
00
11
01
00
01
11
10
10
11
00
00
00
10
10
11
10
01
00
10
10
10
11
00
01
10
01
00
10
01
10
11
11
10
01
10
00
10
10
00
01
00
10
10
00
11
11
10
00
01
10
01
01
00
10
00
01
10
11
00
10
10
00
00
11
00
11
11
11
00
10
11
00
00
10
00
01
01
00
10
10
00
01
00
11
11
10
10
10
01
00
01
00
11
10
00
11
11
00
00
00
10
10
00
10
00
10
00
10
00
00
11
01
11
00
10
00
01
00
10
11
01
11
10
00
11
10
01
00
01
01
00
10
10
11
00
00
01
10
10
10
11
10
01
01
00
00
10
10
11
11
01
00
00
10
01
11
10
10
01
00
10
10
01
00
11
00
11
00
00
01
11
11
00
11
01
00
10
10
10
01
00
00
00
00
10
10
00
10
10
10
00
11
10
11
10
00
10
01
10
10
11
00
01
10
10
00
00
01
11
01
00
00
10
01
10
10
00
10
11
00
11
01
00
10
01
01
00
01
10
11
00
01
11
00
10
10
01
00
01
01
00
11
01
10
00
00
10
10
00
11
00
10
00
00
01
00
10
00
00
01
10
10
10
10
11
00
00
11
01
00
10
10
10
00
10
11
01
00
11
01
11
11
11
00
11
11
01
00
10
10
00
10
10
01
00
10
01
00
00
00
10
10
00
00
11
01
00
10
10
00
10
01
11
11
10
11
00
10
10
01
00
10
00
00
11
10
00
01
10
10
10
10
11
10
01
00
00
10
00
10
01
10
10
10
10
11
11
10
10
10
11
01
10
11
10
10
01
10
01
10
10
00
10
11
00
01
10
11
00
01
10
11
00
01
00
10
00
10
10
10
00
10
01
01
00
10
01
10
10
00
10
10
10
00
00
00
11
10
00
10
00
11
10
00
11
11
00
00
11
11
01
00
00
00
11
10
00
01
10
01
10
00
10
01
00
10
00
10
01
00
10
10
10
01
11
00
00
10
10
10
00
00
00
10
00
10
10
00
00
11
00
10
00
10
11
01
10
00
01
10
10
11
00
11
10
00
00
00
10
11
01
01
00
01
00
10
11
00
00
01
01
10
00
11
11
01
10
00
00
10
11
11
10
00
00
00
00
00
00
10
10
00
01
11
00
00
10
01
00
10
10
11
00
00
10
10
00
00
01
01
00
00
11
00
11
01
11
10
11
00
10
00
01
10
01
00
01
11
11
10
01
10
11
00
00
11
10
00
00
10
10
11
01
10
00
10
10
11
10
01
10
10
10
01
01
01
01
10
01
10
00
11
00
01
11
10
01
10
10
00
10
11
10
11
00
01
11
10
10
11
10
00
10
10
00
10
00
01
00
10
11
10
01
01
10
01
00
10
01
00
11
01
11
10
11
00
00
10
00
10
10
11
00
01
11
10
11
00
10
11
11
01
10
10
00
00
00
10
10
01
00
01
01
00
10
10
10
11
11
01
00
10
10
00
10
10
01
10
00
00
00
01
01
10
00
00
00
10
10
11
11
01
00
00
10
00
00
10
01
01
10
01
10
10
01
00
00
10
10
01
10
10
00
10
11
10
00
11
11
10
10
10
10
00
00
11
01
00
10
00
00
10
11
10
11
10
11
10
00
00
00
01
10
00
10
11
10
10
10
10
01
00
00
00
10
00
01
10
11
10
00
11
00
00
00
10
10
00
00
10
10
00
01
01
11
01
11
10
00
01
11
00
00
11
01
00
10
10
11
11
10
01
00
11
00
11
11
10
00
00
01
01
10
10
00
10
10
11
00
10
10
01
01
00
01
10
01
10
00
00
00
01
11
00
00
01
00
00
10
10
00
01
11
10
00
10
11
01
00
10
10
01
01
10
11
00
00
01
00
01
10
10
00
10
11
00
10
11
10
10
11
00
01
11
00
11
10
00
10
10
00
00
10
11
00
00
00
10
00
11
01
00
01
00
10
11
10
10
11
11
10
10
11
01
00
10
10
10
01
10
00
00
10
01
00
10
10
10
11
11
00
01
10
00
10
00
00
00
00
10
00
10
10
00
10
00
01
00
00
10
10
11
01
11
00
10
11
01
10
11
11
01
11
00
11
00
11
10
00
00
10
10
00
10
10
11
10
11
00
10
10
10
00
10
10
00
00
00
00
10
01
01
10
10
00
10
00
10
10
00
00
00
00
11
10
01
11
10
00
11
01
00
10
11
00
01
00
10
11
00
11
01
01
11
10
00
01
00
10
01
00
10
10
00
10
00
01
11
00
11
00
10
11
01
00
11
11
00
00
10
10
00
10
11
11
10
01
11
01
01
11
00
10
10
00
11
11
00
10
10
00
10
10
00
00
11
10
00
01
10
10
11
10
00
00
11
11
10
01
01
11
11
01
00
01
01
10
01
00
11
10
10
00
00
01
10
00
11
01
00
00
11
10
01
01
00
11
10
11
11
11
01
00
00
10
00
00
10
10
10
10
10
10
00
10
01
00
00
10
01
10
10
10
11
11
10
10
01
00
10
10
01
01
10
11
00
00
10
10
01
11
10
00
00
11
11
10
10
01
01
00
11
10
10
01
00
10
11
00
00
00
00
00
10
00
10
00
00
10
01
01
10
10
10
00
00
11
00
00
10
01
11
10
00
00
11
10
10
00
01
10
10
01
11
00
11
00
00
11
00
00
10
10
00
10
10
11
11
10
11
00
10
00
01
11
00
10
10
00
00
10
10
00
00
01
10
11
00
00
01
10
11
10
00
01
00
01
10
00
00
01
11
01
11
10
00
00
10
00
01
10
10
10
00
10
10
00
10
10
11
00
00
10
11
10
01
10
10
00
10
00
10
00
01
10
00
11
01
00
10
11
10
10
01
01
00
11
11
01
11
00
10
11
01
10
10
00
00
00
10
10
01
00
11
10
10
00
00
01
10
10
11
00
00
11
10
11
00
11
00
01
10
00
11
10
00
00
01
00
10
11
11
01
00
11
10
00
00
10
10
00
01
10
00
00
00
00
00
00
11
01
11
10
00
10
00
01
01
11
10
00
00
00
11
10
00
00
10
00
11
10
11
10
01
00
00
01
01
10
10
00
00
10
10
01
10
00
00
01
01
11
01
10
01
01
11
00
00
11
11
01
00
01
10
10
00
10
10
00
10
11
00
01
00
11
11
00
11
10
01
00
11
11
01
10
10
11
00
00
11
10
00
00
10
00
10
10
10
10
10
10
10
00
00
10
00
10
11
10
10
11
10
00
01
00
01
00
10
11
10
01
00
01
01
01
10
10
00
00
10
10
10
10
01
00
00
10
00
01
01
10
00
10
00
01
00
10
10
10
10
11
11
01
10
00
11
11
00
11
00
00
10
10
10
10
01
00
01
01
00
00
10
01
10
10
00
00
10
10
10
00
11
10
00
10
01
10
01
10
10
01
00
00
11
11
00
00
00
00
00
00
10
10
00
10
10
10
10
11
01
11
10
00
10
10
00
10
00
00
00
01
01
01
10
10
10
11
10
01
00
11
01
10
10
00
10
10
01
00
11
10
00
00
10
00
11
11
00
00
10
10
00
10
00
10
11
10
01
11
10
10
11
00
11
11
00
01
11
11
10
01
01
10
00
00
00
01
00
10
11
01
11
00
00
10
10
00
00
10
11
00
00
11
00
10
00
11
10
10
01
11
10
00
11
10
10
00
01
00
00
10
00
10
00
10
10
10
00
00
00
11
11
11
00
11
00
00
00
00
10
10
11
01
00
01
11
10
10
10
00
00
11
10
00
01
10
10
01
10
10
10
11
00
10
10
00
11
00
10
00
00
00
10
10
10
00
10
00
00
00
10
01
01
01
11
01
10
01
00
10
10
00
00
10
00
10
10
10
01
01
00
11
10
10
11
10
00
00
00
10
10
00
11
00
01
01
10
10
01
10
01
10
10
00
10
10
11
10
00
00
11
00
01
00
10
00
11
10
00
00
10
10
10
00
00
11
00
10
00
10
11
01
11
11
01
00
00
01
00
10
11
00
00
00
00
10
01
10
01
00
00
01
10
00
01
11
10
10
00
00
10
10
00
10
11
00
00
10
11
00
10
10
00
10
10
10
00
11
01
10
10
10
10
01
10
11
00
00
11
01
10
10
00
00
01
11
11
01
10
11
01
10
10
10
00
00
10
10
01
10
10
00
00
00
10
01
10
10
00
10
10
10
10
10
10
01
00
11
11
10
01
11
10
01
10
10
10
01
10
10
00
00
10
01
01
00
00
01
00
10
10
10
01
10
11
10
01
00
11
00
01
01
10
11
00
00
10
10
00
10
11
00
00
10
11
10
10
10
00
10
00
00
11
00
11
01
10
10
10
00
01
10
10
00
00
11
10
00
01
10
11
11
00
00
11
11
11
00
00
10
00
00
00
00
10
10
11
00
01
11
01
00
00
11
10
11
00
10
01
10
10
00
11
10
00
10
11
01
10
10
00
10
10
10
00
11
01
00
10
10
11
10
10
01
00
00
00
10
00
00
10
00
00
10
01
10
10
11
00
10
01
00
01
11
11
00
10
10
00
00
11
10
10
11
01
00
11
11
11
00
01
00
11
10
00
11
00
11
00
10
11
00
11
10
01
01
10
10
00
01
00
10
11
11
00
10
10
00
00
10
10
00
10
10
11
01
00
10
10
01
11
01
00
00
11
11
00
00
10
10
10
10
01
11
10
10
00
00
00
10
00
11
10
11
01
10
00
10
11
00
00
01
00
01
10
00
10
00
10
10
10
10
10
01
10
10
00
11
01
11
11
00
11
01
10
10
00
01
00
01
11
00
10
10
01
00
10
11
11
00
11
00
01
00
01
11
10
00
00
10
10
10
01
01
00
00
00
11
00
11
11
00
00
00
11
10
01
01
10
10
01
01
00
01
01
11
10
00
10
10
01
00
00
10
11
01
10
11
11
11
01
10
00
00
00
01
10
10
10
11
10
01
00
10
10
11
01
00
10
11
11
00
00
11
01
00
11
11
00
00
11
10
10
00
00
10
10
10
00
11
10
00
10
00
01
10
00
10
01
10
01
10
00
01
01
00
11
00
01
00
10
10
01
00
00
11
10
00
10
11
11
10
10
01
10
11
01
00
00
11
00
10
10
00
11
11
01
00
00
10
00
10
10
00
11
10
00
01
01
10
10
00
00
00
00
10
11
01
01
00
00
01
00
11
11
11
10
00
00
00
00
10
10
01
00
10
00
11
00
11
10
01
01
10
10
00
10
10
11
01
00
01
10
00
00
11
10
00
00
10
10
00
00
11
11
00
10
01
00
00
01
10
11
00
00
00
01
00
01
10
11
10
10
10
00
11
00
00
00
01
11
00
01
10
10
11
10
10
00
00
01
01
10
11
00
10
10
10
10
00
11
00
00
10
01
01
01
01
11
01
10
01
00
00
10
10
00
11
00
00
11
10
10
00
10
10
00
00
11
10
01
10
10
10
10
00
10
00
00
00
01
11
11
10
11
10
00
01
01
01
10
10
11
01
10
00
00
10
10
10
10
00
00
00
01
00
01
10
10
10
00
00
00
11
10
00
00
00
00
01
01
10
10
10
10
10
10
01
10
01
00
10
11
10
01
11
00
01
00
11
00
01
10
10
00
00
11
10
10
00
10
11
11
00
10
10
00
01
00
00
11
01
11
00
11
10
01
11
00
00
10
10
00
01
11
01
01
11
00
00
10
00
10
11
01
10
10
01
11
11
00
00
10
01
01
10
11
01
00
00
00
01
00
11
10
01
10
11
00
10
10
00
10
11
11
00
00
01
00
01
00
11
11
00
10
10
10
00
00
11
10
10
00
11
00
01
00
01
00
10
01
00
10
10
11
01
01
11
10
11
01
01
11
01
01
10
10
11
10
01
10
10
00
01
00
11
00
00
00
10
00
11
00
10
01
10
01
00
00
11
00
00
11
11
00
01
00
01
00
10
10
11
10
01
00
10
00
10
00
10
00
00
01
10
10
00
10
11
01
01
10
10
10
10
00
01
00
11
10
00
01
00
11
10
11
01
00
10
00
11
10
00
00
10
00
10
00
10
11
00
10
11
00
01
10
10
10
00
00
00
10
00
10
00
10
10
10
00
01
00
11
10
01
00
11
00
00
00
00
01
10
00
01
00
10
10
10
00
00
00
00
10
11
11
11
10
11
10
01
10
01
00
00
00
11
01
00
00
10
11
01
11
11
11
00
00
00
00
10
01
00
10
00
00
01
00
10
10
10
01
00
10
01
11
00
11
10
01
00
01
01
10
00
10
10
01
11
01
00
10
00
10
10
01
01
10
01
10
10
00
00
10
00
00
01
10
10
11
00
10
10
10
01
11
00
10
10
10
11
00
00
10
11
00
10
00
00
00
11
11
10
11
00
00
11
01
00
10
00
01
10
01
10
11
11
10
10
00
00
11
01
00
00
10
01
10
11
11
10
11
00
11
10
00
00
10
10
00
10
11
01
10
10
10
01
00
11
00
01
00
00
11
11
00
00
00
11
01
00
10
10
00
11
00
10
10
01
01
11
01
10
11
01
10
10
01
01
00
11
10
00
00
11
01
10
00
00
00
00
00
00
10
10
01
00
10
10
10
10
10
10
00
10
10
10
10
01
01
11
10
10
00
01
10
01
00
10
00
10
10
00
10
01
10
10
01
10
00
01
01
10
10
00
00
10
01
00
11
00
00
11
10
10
01
00
10
10
00
01
01
10
11
10
01
01
10
10
01
10
10
11
01
00
00
10
10
00
10
10
00
10
10
00
10
00
10
00
11
01
11
00
00
10
10
00
00
10
10
10
00
10
00
00
01
00
10
10
00
00
11
11
00
10
10
01
10
00
11
11
00
00
10
10
10
00
01
00
10
11
10
11
10
10
00
11
01
00
10
10
00
10
00
11
00
01
10
00
10
00
01
11
10
00
11
01
10
11
01
00
10
01
00
10
10
00
10
10
10
00
11
01
00
01
00
11
10
00
10
01
01
00
10
10
00
01
10
10
10
10
01
01
00
10
00
10
01
01
00
00
10
00
01
00
11
00
11
10
11
00
00
01
01
01
10
01
10
10
00
01
01
00
10
10
01
01
01
01
10
00
00
00
11
10
01
00
00
11
11
11
01
10
11
10
10
11
10
00
01
11
00
00
10
10
01
00
01
01
00
10
11
01
10
00
00
11
01
01
10
11
10
10
10
00
00
11
10
00
00
11
10
00
10
10
10
00
00
00
00
00
10
10
01
10
00
10
10
00
01
01
10
00
00
00
10
10
10
00
01
10
10
00
00
01
00
00
00
10
11
10
10
10
11
10
00
01
10
10
11
01
10
00
00
10
10
11
01
00
11
11
11
00
00
01
11
10
01
10
11
00
01
01
11
10
01
10
11
10
01
10
11
00
01
10
10
10
00
01
10
11
11
00
01
10
00
00
10
00
01
00
11
00
10
00
00
00
00
11
10
01
11
10
01
10
11
10
00
00
10
00
01
10
01
10
10
10
00
10
11
00
11
00
00
10
11
00
10
00
10
11
00
10
00
00
10
10
01
00
10
10
11
11
10
10
10
00
00
11
11
10
00
00
01
11
10
00
01
00
01
01
11
11
00
10
10
11
01
00
00
11
01
00
10
10
11
01
01
10
01
10
01
10
10
10
11
00
01
01
11
11
00
10
10
00
01
11
00
01
00
00
10
11
10
00
00
11
11
10
10
11
00
00
10
01
01
00
11
10
00
10
10
11
11
01
00
00
10
10
10
11
10
00
00
10
01
00
10
11
10
10
00
10
00
11
10
00
11
01
11
10
11
00
11
00
00
10
10
10
10
01
00
01
01
10
10
11
10
01
11
00
01
10
10
00
11
10
00
10
10
10
00
00
10
10
10
01
00
11
00
00
10
00
10
01
00
11
10
00
01
11
11
10
00
00
10
00
00
10
10
00
01
01
10
11
00
10
10
10
00
10
11
10
01
01
10
11
11
00
10
00
00
11
01
10
11
10
00
01
10
10
00
00
10
11
11
00
11
10
01
01
00
11
11
10
00
01
10
10
00
00
00
10
10
11
00
00
10
11
01
10
00
11
00
10
11
11
10
10
00
00
10
10
01
00
10
11
10
00
01
10
10
00
10
10
10
11
00
10
00
10
10
10
10
11
11
10
11
00
10
01
00
00
11
10
00
00
10
00
01
00
11
00
10
00
11
00
10
01
00
00
10
00
11
10
11
00
01
01
01
00
01
01
10
01
00
11
10
10
11
10
10
00
00
00
10
01
01
01
10
10
10
10
00
10
10
01
00
00
10
01
01
10
10
10
10
10
00
00
10
11
11
00
10
10
01
00
11
11
11
01
01
00
01
01
10
00
00
10
10
11
10
10
11
00
00
11
00
01
10
11
00
01
10
11
00
00
10
01
00
11
00
00
10
10
00
00
11
11
10
00
00
00
11
10
00
11
01
01
10
01
00
00
10
11
10
00
00
11
10
01
01
01
10
10
10
10
00
01
10
00
00
11
11
11
00
10
01
00
00
00
11
10
00
00
10
11
01
10
10
01
10
00
10
01
01
01
11
11
01
00
00
10
00
01
11
00
01
00
00
01
00
11
11
11
00
00
00
01
10
11
11
00
10
10
00
00
10
01
00
11
00
01
11
10
11
11
01
00
11
10
00
00
00
00
10
11
10
01
00
01
10
00
00
10
10
00
00
10
11
00
00
01
00
11
00
10
10
01
10
10
10
01
11
10
11
00
00
10
01
10
11
00
00
10
10
01
00
00
10
00
00
00
00
11
01
11
10
00
00
00
11
00
00
10
00
01
00
01
10
00
01
10
11
00
01
10
10
00
01
01
10
00
01
01
10
10
10
01
10
11
00
10
00
00
11
00
10
01
01
01
11
10
10
11
00
11
10
01
01
10
10
11
10
00
00
00
00
00
10
10
00
01
10
10
11
10
00
11
00
10
10
00
00
10
10
01
00
10
10
10
00
00
00
00
00
10
10
01
10
00
00
00
11
00
10
10
01
01
10
11
10
00
00
00
01
00
10
10
10
10
10
01
11
01
00
01
10
00
11
00
10
00
10
10
00
10
01
00
11
01
10
10
00
00
00
10
10
10
00
01
01
00
10
00
00
01
10
10
00
11
10
10
01
01
01
11
00
01
10
11
10
10
01
00
11
00
00
10
00
00
10
00
00
10
10
00
10
00
10
11
10
00
01
10
00
11
10
00
10
11
10
00
00
00
11
10
10
00
01
10
00
00
00
00
00
11
10
00
10
00
11
10
10
00
00
10
10
10
00
10
00
10
10
10
10
01
11
00
10
01
00
11
01
10
10
01
01
00
00
11
00
11
10
10
00
01
00
00
10
00
00
10
10
11
10
11
10
10
01
01
01
00
10
10
00
01
00
10
10
00
11
00
10
10
10
00
01
10
01
00
11
10
01
00
10
00
01
10
00
10
10
00
01
10
00
01
10
11
00
01
10
10
01
10
00
11
10
11
10
00
00
01
00
00
10
11
00
01
00
00
11
00
10
11
00
10
00
00
11
00
00
01
00
00
10
00
01
00
01
00
10
00
00
00
00
10
10
00
00
01
11
10
00
10
11
10
11
00
00
10
10
00
10
11
00
10
00
01
10
00
11
10
11
00
00
00
10
00
00
10
10
11
10
00
00
01
10
10
10
01
10
10
01
01
11
11
10
01
00
10
10
01
00
11
00
00
00
11
00
10
11
11
11
01
00
00
00
10
10
00
10
10
11
10
01
00
00
00
10
01
00
00
10
10
00
00
00
01
10
01
11
01
00
01
10
01
00
10
00
10
01
00
11
10
00
10
00
11
10
01
01
00
10
11
11
01
00
10
10
01
00
00
10
00
00
11
01
11
01
10
11
00
01
10
10
10
00
01
10
00
00
00
00
00
10
01
01
10
11
11
10
00
01
11
00
00
10
11
00
00
00
10
00
01
10
00
10
01
10
10
00
10
10
11
01
01
00
00
10
00
11
10
11
00
00
00
10
10
01
10
00
01
10
10
00
10
11
00
00
10
00
11
10
10
00
00
10
10
01
11
10
01
10
01
00
00
11
10
11
00
01
00
10
11
00
11
00
10
10
00
00
01
01
11
11
01
11
10
10
00
01
00
11
11
00
00
10
01
00
01
10
10
00
00
00
00
01
10
11
10
10
00
01
00
00
10
11
10
01
10
10
11
00
00
00
00
11
00
00
10
10
10
01
10
11
00
01
11
10
10
00
00
10
11
01
10
11
11
11
01
01
00
01
00
01
10
10
10
00
00
00
00
10
11
01
01
11
00
10
10
00
10
11
00
00
10
10
00
00
00
00
00
10
11
00
11
00
00
11
00
00
10
11
00
00
10
10
01
10
10
00
10
10
11
10
00
10
00
00
10
11
00
01
11
10
10
11
11
10
11
00
11
10
10
00
10
10
01
10
10
00
00
10
11
10
00
10
00
10
01
11
01
00
00
10
00
11
10
00
00
10
00
00
11
10
00
11
00
10
10
10
10
10
10
10
00
00
00
10
10
11
10
00
00
11
00
10
00
00
10
00
00
01
01
11
00
10
11
00
00
11
01
00
00
00
01
00
11
11
01
00
10
01
00
10
11
01
00
11
00
00
11
10
11
00
00
11
01
01
10
11
01
10
10
00
01
10
11
10
11
11
01
11
00
00
01
11
10
00
10
00
01
11
01
00
00
10
00
11
10
01
00
11
10
00
00
00
00
11
10
10
01
01
10
00
10
00
00
00
10
10
10
11
00
11
00
01
11
01
10
10
00
00
11
11
10
01
01
10
01
00
10
10
01
00
00
10
10
10
00
00
11
00
11
10
11
00
00
01
10
00
10
00
00
00
00
10
00
00
00
00
10
00
11
10
11
10
10
01
00
11
00
11
10
10
01
00
01
11
01
01
10
10
01
10
10
11
01
10
00
00
11
10
00
01
00
00
00
11
11
00
01
00
10
00
10
10
00
10
11
10
00
00
01
10
10
11
00
10
11
00
11
10
00
00
10
10
00
11
10
01
00
10
10
10
10
10
10
00
01
10
10
01
00
00
00
10
00
01
00
00
10
01
10
10
00
11
00
10
00
01
00
10
11
01
10
01
00
00
00
00
11
10
00
00
10
10
01
00
00
01
10
10
10
01
11
10
00
10
00
01
01
10
01
10
01
10
00
00
10
00
00
10
11
10
10
11
10
10
10
00
00
01
01
10
10
10
10
00
10
10
00
01
00
10
11
10
00
10
10
00
00
11
00
10
01
01
11
00
00
00
11
00
00
11
11
00
11
00
01
11
11
11
00
11
11
01
00
11
10
00
00
11
11
00
00
11
00
10
00
10
10
10
10
00
00
00
11
00
10
00
10
00
01
10
10
00
00
11
00
01
01
10
01
11
00
01
00
10
11
10
00
10
10
10
01
00
00
00
10
10
00
10
00
00
01
10
11
00
01
10
01
10
00
00
10
00
01
00
10
00
11
00
10
00
00
11
11
10
00
11
00
11
11
10
00
01
00
10
10
01
01
11
10
00
00
10
11
10
11
00
00
00
00
11
10
00
00
00
10
00
00
00
10
10
10
11
10
10
00
00
01
00
00
00
10
10
00
11
11
01
10
10
00
10
00
11
11
00
11
00
00
11
00
00
01
00
00
00
10
11
00
10
01
10
10
00
11
01
10
10
00
10
11
01
00
11
11
10
00
11
11
10
10
00
10
10
00
00
01
11
00
11
10
10
11
01
00
11
10
00
00
10
10
00
10
01
10
10
10
11
01
10
10
10
01
00
10
10
00
10
01
10
11
00
10
01
00
10
00
10
10
10
10
10
00
01
00
00
10
00
01
00
10
10
00
10
11
00
01
11
00
11
11
01
00
00
11
10
10
00
10
10
01
10
10
10
00
00
10
00
10
10
00
01
01
10
11
00
01
10
11
00
01
00
11
01
01
11
11
11
00
11
00
01
10
11
01
01
10
00
01
11
01
11
10
11
10
10
00
10
11
00
01
00
11
00
00
00
11
11
00
00
01
00
11
01
00
11
11
11
10
00
11
10
01
00
00
10
11
01
01
00
10
00
01
01
01
10
00
00
10
10
10
00
00
10
10
00
00
10
00
00
11
00
11
10
00
10
00
00
10
10
00
10
10
00
10
10
01
10
10
10
11
00
11
00
00
00
11
00
10
10
00
10
10
00
00
11
10
01
11
00
01
10
00
00
00
10
00
01
10
10
00
00
10
10
10
10
10
01
11
10
10
11
11
11
01
01
00
10
11
10
00
00
10
00
01
00
01
10
00
11
10
10
10
10
00
00
00
00
11
10
11
01
10
10
10
10
00
10
10
11
01
00
00
11
10
10
01
00
10
10
00
01
10
11
00
10
10
00
10
10
10
00
11
10
01
11
10
01
10
00
00
10
10
00
01
10
00
00
01
00
10
10
00
10
10
10
10
00
01
00
11
10
11
10
01
01
01
10
11
00
01
11
10
00
00
10
00
00
11
00
00
00
10
01
00
00
00
10
01
01
11
10
10
01
10
00
00
10
10
11
10
01
00
01
00
11
10
11
00
10
11
01
01
00
10
10
00
00
10
11
00
11
10
11
10
00
01
01
11
00
11
11
00
01
10
10
00
00
11
10
01
01
00
01
00
10
11
11
00
11
10
01
00
00
11
00
00
10
11
00
00
10
00
10
11
00
10
01
00
00
10
10
10
00
00
11
00
11
11
00
00
00
00
10
11
00
01
00
10
10
11
10
11
00
00
11
10
01
00
11
10
00
01
00
01
00
10
10
11
10
01
00
11
01
11
11
00
00
10
10
00
01
10
00
00
00
00
00
11
11
11
01
00
10
01
00
10
00
10
11
10
11
10
10
01
10
10
10
10
00
00
01
10
10
00
01
10
01
11
10
10
01
00
10
10
00
00
11
10
00
00
10
11
00
11
10
11
11
10
00
11
00
01
10
11
00
00
00
10
00
10
11
01
01
10
00
00
00
00
00
00
10
10
01
00
11
01
10
00
00
10
11
01
00
10
00
00
10
00
01
01
11
11
00
01
01
10
00
01
10
10
10
00
01
11
10
10
01
10
10
11
11
00
00
10
10
10
11
01
00
11
11
10
11
10
00
00
11
10
11
00
00
10
01
10
00
01
10
10
00
10
10
10
01
01
11
00
00
00
01
00
10
00
10
10
00
10
11
00
01
00
00
00
00
11
10
11
00
01
01
00
00
00
11
10
01
00
00
11
10
01
11
00
10
00
00
01
00
10
00
00
01
10
11
10
10
10
01
00
00
11
10
11
00
01
11
11
00
01
00
10
11
01
01
00
10
10
00
00
10
10
10
11
01
10
10
00
10
10
11
10
00
00
01
00
00
10
10
10
10
10
00
00
00
01
10
00
00
11
11
00
10
01
10
10
00
00
01
11
00
10
10
00
01
10
10
00
00
11
10
00
00
00
11
10
01
00
00
11
11
00
10
00
00
10
01
00
10
10
11
00
00
01
10
00
01
00
11
00
00
10
10
00
10
00
01
10
00
11
10
11
10
00
01
10
10
00
11
10
10
10
10
01
00
00
01
11
00
00
01
00
10
11
11
10
11
11
11
10
11
00
00
10
11
10
11
11
00
10
01
10
00
00
10
00
10
01
00
10
11
00
01
11
10
11
01
10
10
10
01
10
00
00
00
11
00
11
11
00
10
11
01
00
01
10
10
00
00
10
10
11
00
10
10
00
01
10
00
00
10
10
00
10
00
00
00
01
01
11
00
10
10
10
00
01
11
10
10
00
00
00
10
10
01
00
10
10
00
00
00
10
11
00
01
10
10
10
10
01
01
11
10
10
01
00
10
00
00
01
11
01
10
10
10
01
00
00
00
10
00
10
11
00
11
10
10
01
00
11
11
10
00
11
10
00
00
11
10
10
01
00
10
01
10
11
10
00
00
10
01
00
10
10
01
10
10
10
00
00
01
11
11
01
00
00
10
10
10
11
01
00
10
00
10
00
00
10
11
10
10
11
00
00
00
01
00
11
10
11
00
00
00
11
10
00
00
10
00
10
00
00
10
11
10
00
10
00
11
01
00
11
11
01
01
10
01
00
10
10
01
00
10
10
01
00
10
00
00
00
11
10
01
10
11
00
01
00
11
11
01
00
11
11
01
11
10
10
01
10
00
00
10
10
11
00
10
00
00
11
00
00
01
10
11
10
00
00
10
10
00
00
10
10
11
11
11
00
11
00
10
01
00
10
00
00
10
11
00
11
00
11
10
10
00
00
10
10
10
10
00
10
10
01
00
10
00
10
11
01
00
11
01
00
00
00
10
11
10
00
00
00
10
10
00
00
10
11
10
01
10
10
00
00
01
00
10
10
11
11
01
00
11
11
10
00
10
00
01
10
10
00
00
00
00
00
10
10
00
11
00
11
10
10
10
00
00
00
00
11
10
10
11
00
01
01
10
11
01
10
01
00
00
01
01
11
10
01
00
01
10
10
10
00
10
11
01
10
01
00
00
01
11
00
10
11
01
00
01
01
00
01
11
11
10
01
00
10
01
01
10
11
00
00
11
10
00
10
10
00
00
10
10
10
00
10
11
00
00
00
10
10
11
00
00
10
11
00
00
10
10
00
10
10
10
10
10
00
01
01
01
11
01
10
10
10
01
00
11
10
10
10
01
01
01
10
11
00
01
01
01
00
10
10
00
01
10
10
00
01
11
01
10
01
11
10
10
00
01
10
11
00
10
10
10
10
11
00
01
00
11
01
00
10
10
10
10
00
00
10
10
10
10
00
10
11
01
11
00
01
00
00
10
10
01
10
10
10
10
00
10
10
10
00
00
00
10
10
00
00
10
00
00
00
00
10
10
01
01
11
11
01
11
00
10
10
00
10
10
00
00
10
10
10
10
00
00
10
10
10
00
10
10
00
10
10
01
00
01
00
10
10
00
10
00
01
10
11
00
10
11
00
11
10
11
00
01
01
00
11
10
00
00
11
10
01
01
01
10
11
00
00
00
10
10
00
00
10
11
00
00
01
00
10
11
10
01
00
11
10
00
11
11
01
00
11
10
11
11
01
01
10
10
00
00
10
11
00
00
10
10
01
10
01
01
10
11
10
01
10
00
11
11
10
00
01
11
11
01
10
01
00
10
00
10
10
11
00
01
10
10
11
00
00
10
10
01
00
10
10
10
10
10
10
00
10
10
10
01
10
01
00
00
00
00
00
00
11
10
10
00
01
10
00
00
00
00
00
00
10
01
10
10
11
10
10
10
10
00
11
11
00
10
01
10
10
10
00
10
00
10
10
10
01
01
11
10
01
01
00
01
01
11
00
00
10
10
00
01
11
10
00
00
10
01
00
10
00
11
01
01
00
11
10
00
10
01
11
11
01
10
01
11
10
00
11
10
00
11
10
01
00
10
10
10
00
11
10
00
00
11
10
01
11
10
00
10
10
11
00
10
10
00
11
00
00
11
10
00
01
00
01
00
01
11
11
00
10
11
10
10
00
11
10
00
00
01
00
11
10
11
01
00
00
10
01
01
10
10
01
11
11
10
00
00
10
10
10
10
01
11
01
10
00
11
00
00
10
10
10
01
00
01
00
01
00
01
10
00
00
10
00
00
10
10
10
10
10
00
00
00
01
00
00
11
10
10
01
01
01
00
10
00
00
00
00
11
10
11
10
10
11
00
00
00
01
10
00
10
10
00
10
00
00
10
10
00
00
11
00
00
01
01
11
11
10
11
00
10
10
00
00
10
11
00
00
00
01
10
11
00
01
10
11
00
01
10
10
00
00
11
10
01
10
11
10
00
00
00
01
10
11
11
01
00
00
11
10
10
01
10
01
00
11
11
10
11
01
00
01
00
10
11
00
00
00
00
10
00
01
11
00
11
00
01
00
01
10
11
00
01
00
10
01
01
00
10
00
00
01
10
10
00
00
01
00
00
11
00
01
00
11
10
00
11
10
10
01
00
11
10
11
00
00
10
10
10
00
00
01
00
11
01
10
10
10
01
00
11
11
11
10
00
00
10
11
10
00
00
00
11
01
01
10
11
01
01
10
11
11
01
10
11
00
00
11
01
11
10
11
00
10
01
00
01
10
01
10
10
10
00
10
01
11
10
00
10
11
10
10
10
00
00
10
01
00
10
10
01
11
00
00
00
00
10
00
11
10
00
00
01
01
10
10
00
01
00
00
11
01
10
10
10
10
11
01
11
11
10
01
00
00
00
10
00
01
10
10
10
11
00
10
10
01
01
11
10
00
10
11
00
10
10
10
00
00
10
10
10
01
00
10
00
01
10
10
01
00
01
00
00
10
10
01
10
11
00
00
10
00
00
11
10
00
10
10
11
10
00
00
00
11
00
11
11
00
11
00
10
01
00
10
00
10
00
01
10
01
00
11
11
00
01
00
00
10
00
00
11
11
01
10
00
10
11
10
10
00
11
10
00
10
01
00
01
10
10
11
01
00
11
10
00
10
10
00
10
01
01
01
11
01
00
00
10
10
10
10
00
00
00
10
10
10
00
00
00
10
00
11
00
11
11
00
00
10
01
10
10
00
11
11
01
11
00
00
10
01
00
00
01
10
10
11
01
00
00
10
11
10
00
10
11
10
00
00
01
10
00
11
11
10
01
00
01
11
10
01
11
10
10
10
00
01
10
10
10
00
10
00
00
00
00
10
00
10
10
11
10
01
10
11
11
00
00
00
00
01
10
00
10
10
01
10
01
00
10
10
01
00
11
01
01
10
10
10
00
01
10
10
00
10
10
00
00
10
10
01
00
11
10
10
11
00
11
11
00
00
11
10
10
00
00
00
10
10
10
10
01
01
00
00
00
00
00
11
11
00
00
10
10
01
00
00
10
10
11
01
00
00
00
11
00
10
01
00
10
00
10
11
11
10
10
01
00
10
10
11
01
00
10
01
11
11
00
00
01
11
10
01
00
11
11
00
01
00
00
10
00
00
00
00
10
00
10
00
10
10
00
00
00
10
01
00
10
10
00
10
00
00
10
00
10
01
10
10
10
10
01
10
10
00
10
11
01
11
10
11
00
10
11
00
01
11
11
00
11
00
11
10
10
00
01
10
00
10
00
01
01
00
10
00
10
10
10
11
01
00
00
10
11
00
11
01
00
10
00
00
10
10
11
01
01
01
01
10
10
10
11
00
00
00
11
10
00
11
00
00
11
00
00
00
10
10
01
00
11
01
01
10
00
11
11
01
11
00
00
00
10
00
10
10
00
00
00
00
11
11
10
10
01
01
11
10
01
10
00
00
11
11
01
01
00
10
11
00
00
10
10
00
00
01
10
10
00
00
01
01
10
00
01
10
10
00
10
10
11
01
00
10
01
00
11
10
11
11
00
00
11
10
11
00
01
11
01
10
01
00
10
00
01
10
11
00
01
10
01
00
10
11
00
00
11
00
10
01
01
00
01
10
11
10
10
00
00
11
10
00
10
00
10
01
10
00
10
00
01
01
10
10
10
00
11
10
00
10
01
00
00
10
10
01
00
10
11
10
00
00
11
00
01
10
01
00
01
10
10
11
00
01
10
01
01
10
10
00
00
11
10
11
11
01
00
01
11
11
00
01
00
10
11
01
00
00
11
00
10
11
00
10
00
10
11
00
10
00
10
00
00
00
00
11
10
00
01
00
10
00
11
00
00
00
10
00
10
10
01
10
00
00
10
01
00
00
00
10
00
10
11
01
01
11
00
01
00
01
01
11
10
00
10
11
00
00
10
10
00
00
00
10
10
10
11
01
10
10
10
10
00
11
01
00
10
10
10
01
00
10
11
00
01
11
11
00
10
10
01
11
00
01
01
11
00
10
10
10
11
00
00
00
10
01
01
00
10
10
01
10
00
01
01
10
11
00
00
00
10
10
10
10
00
00
10
00
00
10
00
10
10
10
01
10
10
10
00
00
00
01
00
00
00
01
01
00
10
10
00
10
10
01
11
10
00
00
11
11
10
00
10
01
01
11
00
10
10
00
00
10
01
01
10
11
00
10
10
01
10
11
10
00
10
01
01
10
10
00
01
10
10
01
00
00
01
10
00
00
10
11
10
00
00
00
00
00
10
10
00
01
10
10
10
11
01
01
11
10
10
11
01
01
11
01
00
00
00
11
00
00
11
00
01
10
00
11
10
10
00
00
10
11
00
11
11
01
00
01
00
00
01
11
00
11
10
00
01
11
11
00
00
11
00
00
01
11
10
00
10
01
11
00
01
10
00
01
10
00
01
10
10
00
01
11
00
10
11
00
01
00
10
10
01
10
10
00
01
10
11
01
11
00
00
10
00
11
00
00
10
10
00
10
10
00
00
00
11
00
10
11
01
00
01
10
01
11
00
01
10
00
10
11
10
11
00
01
10
10
10
10
11
00
00
10
00
10
11
00
00
00
00
10
11
10
00
00
10
10
10
00
00
01
00
00
10
01
11
00
11
00
01
10
00
00
00
11
10
11
00
01
01
00
10
10
00
00
00
10
10
00
01
10
00
10
11
10
00
10
00
00
10
10
10
11
01
01
00
00
10
00
10
00
01
10
11
01
00
00
01
11
10
10
11
01
00
10
11
01
01
11
11
00
10
00
00
00
11
10
11
00
01
00
10
01
10
10
01
01
01
11
00
00
11
00
00
00
10
10
10
00
10
00
11
10
01
01
01
01
10
11
00
11
11
10
10
00
00
00
01
11
10
00
10
00
10
10
01
10
00
11
10
00
10
10
10
10
10
00
11
00
10
00
01
10
00
01
10
00
00
11
11
10
10
10
00
10
00
00
00
00
10
11
00
11
00
00
10
00
10
10
00
00
11
00
11
10
00
11
00
10
00
01
10
01
00
10
11
00
00
11
11
00
10
10
00
00
01
10
00
10
01
00
11
01
10
00
10
01
10
00
01
10
11
10
00
00
00
11
10
01
00
10
11
11
00
00
10
10
10
00
00
00
10
10
11
11
01
11
11
00
00
10
11
01
00
10
11
00
10
00
00
11
10
10
10
01
01
01
01
10
10
00
01
01
11
10
01
00
10
11
01
00
10
00
00
11
01
10
00
10
00
10
00
00
10
00
11
01
01
11
00
00
10
10
00
01
11
10
11
01
01
01
11
00
10
11
00
00
10
11
00
10
10
00
00
00
00
00
10
01
00
00
10
00
10
11
10
11
01
00
00
01
10
10
00
01
01
01
11
10
01
10
11
00
01
10
10
00
00
10
10
11
00
01
10
00
00
01
10
10
00
00
10
01
10
10
10
11
10
00
11
00
10
10
11
10
01
00
10
10
10
00
10
10
00
00
01
00
10
11
10
11
11
10
01
00
10
01
11
11
01
11
10
01
10
00
10
11
00
00
01
00
00
00
10
10
11
00
01
00
00
10
10
01
10
01
00
10
00
10
10
00
00
10
10
00
10
10
11
01
10
00
10
10
11
01
01
10
10
01
10
00
11
10
01
10
00
00
10
10
11
11
00
11
11
01
00
01
01
10
10
11
10
11
01
00
10
11
01
00
10
11
10
00
10
10
01
10
10
00
11
00
00
10
10
00
00
01
00
10
10
11
00
01
00
00
10
01
01
10
00
01
01
11
10
00
10
11
00
10
00
00
10
10
11
00
00
10
10
10
10
01
10
10
10
00
10
01
00
11
10
01
01
11
10
11
00
00
00
11
00
00
00
10
10
01
10
10
10
00
00
01
11
01
00
00
11
00
10
10
01
11
01
01
10
11
00
00
00
00
10
10
10
00
00
11
01
10
10
10
01
10
01
00
10
10
01
10
00
11
10
01
11
11
01
11
10
10
01
01
10
11
01
01
11
00
01
11
11
11
00
01
11
11
01
01
11
11
00
01
10
10
00
00
10
10
01
00
00
10
11
10
10
00
00
11
10
10
01
10
00
00
00
00
10
00
01
01
10
11
01
00
10
01
10
10
00
00
00
00
10
10
10
00
10
00
10
10
01
10
10
10
11
10
01
00
00
10
00
11
01
11
10
10
10
10
10
01
01
11
10
11
00
01
00
11
10
01
00
01
00
00
01
10
10
00
10
11
11
01
00
01
10
00
00
10
10
10
00
00
01
00
00
01
00
00
11
00
10
10
00
01
01
11
10
00
10
01
00
10
10
00
10
00
10
00
01
01
01
01
01
10
00
10
00
11
10
00
00
00
00
00
10
11
00
10
00
00
01
00
00
10
00
10
11
00
00
01
10
00
10
00
00
01
00
00
10
10
10
01
01
10
01
00
11
00
00
10
11
01
00
01
10
10
01
01
00
10
01
00
11
01
01
00
11
00
11
01
00
00
11
11
11
10
00
00
10
00
00
10
10
00
10
00
00
00
10
11
00
10
11
11
01
01
11
10
00
00
10
11
11
00
01
01
11
01
01
10
11
00
00
00
10
11
01
01
10
00
10
10
00
00
11
11
11
10
11
00
00
10
11
00
10
10
00
10
11
00
10
01
00
10
10
00
00
00
11
11
10
01
10
01
10
00
00
10
11
10
00
00
10
00
10
00
11
01
10
10
10
10
00
10
00
11
00
00
00
10
00
11
00
01
00
00
11
10
00
01
11
11
10
00
00
10
00
00
11
10
11
01
01
01
10
11
10
01
00
11
11
01
01
00
01
00
11
10
00
00
10
01
10
10
00
00
01
00
00
11
10
11
11
10
10
00
10
01
11
10
10
00
00
01
10
10
10
11
00
00
11
01
01
00
10
11
01
11
10
10
00
00
11
11
00
10
00
01
00
01
10
11
10
11
10
00
00
10
00
00
00
10
11
10
01
00
00
11
10
01
10
11
00
10
10
10
10
01
10
10
10
01
00
11
00
01
10
10
10
01
00
10
10
00
00
11
10
10
00
00
10
01
10
10
00
10
10
00
00
11
10
11
00
11
00
00
10
00
11
10
10
00
00
00
10
00
00
01
11
10
10
01
10
10
11
00
00
10
11
11
11
00
00
10
00
10
10
00
10
10
00
00
00
00
00
00
00
11
10
11
10
10
11
11
00
01
10
00
01
01
11
10
00
11
01
11
00
01
11
01
00
11
11
00
00
10
01
00
01
10
10
00
00
00
00
00
00
00
10
10
00
00
00
11
00
10
00
11
10
00
00
10
10
00
00
00
00
00
11
10
10
00
01
01
00
00
11
10
00
11
10
01
10
10
00
11
10
11
00
01
00
11
11
10
00
10
10
11
10
00
10
00
10
10
10
01
00
01
00
10
11
01
10
00
10
10
10
00
00
11
10
00
10
01
10
01
10
00
01
10
10
00
00
10
10
10
00
10
11
00
11
01
00
00
11
10
11
00
01
10
10
01
01
00
10
01
00
10
10
11
11
01
00
00
00
10
10
00
00
10
00
00
10
11
01
00
00
10
11
00
10
10
10
01
10
10
01
00
11
00
10
10
11
00
10
01
10
00
01
10
00
00
11
11
10
00
00
00
00
01
10
10
11
00
11
11
11
01
10
11
10
10
00
00
10
11
10
10
00
00
10
00
10
11
00
00
00
00
00
00
11
11
10
00
01
00
10
00
10
10
00
10
00
01
10
00
10
10
10
00
00
10
00
01
11
00
10
10
11
10
00
01
10
10
01
11
00
01
11
10
00
00
10
00
00
11
01
10
11
10
00
10
10
10
10
00
10
00
10
00
00
00
00
11
01
10
10
10
00
00
00
00
10
00
10
10
10
10
01
10
10
10
01
11
10
01
00
11
00
01
10
10
10
01
11
10
10
01
11
10
10
00
10
00
00
10
10
00
00
10
00
00
10
10
11
10
10
00
00
11
01
10
00
11
10
01
10
10
10
00
00
11
00
01
10
01
10
01
10
11
11
01
00
10
00
10
00
00
11
10
11
01
01
10
00
01
01
01
11
10
00
01
00
00
00
11
10
10
11
11
00
11
10
01
11
00
01
00
10
10
00
00
01
10
11
10
00
10
00
01
00
01
10
01
00
11
01
01
00
11
00
00
11
10
10
00
00
10
11
01
11
10
01
11
10
00
00
00
10
00
11
10
01
00
01
10
10
00
01
00
11
10
00
11
11
00
11
10
01
00
00
10
10
01
01
10
11
10
00
10
00
00
10
10
00
00
10
11
00
10
10
00
10
00
10
10
00
10
01
00
00
10
01
11
11
00
11
10
10
10
00
00
10
10
00
00
00
10
00
00
00
10
10
11
01
11
01
00
00
00
10
00
11
11
00
01
11
10
10
10
00
10
10
00
00
01
00
00
10
10
00
00
10
01
10
00
00
10
00
10
10
00
10
11
00
11
01
00
10
01
11
11
11
01
00
10
00
00
01
10
11
01
00
10
10
00
11
00
01
10
01
00
10
00
00
10
10
10
01
00
00
11
00
00
01
10
10
11
01
01
01
00
10
00
00
10
01
10
10
01
01
01
11
00
00
11
00
01
10
11
11
00
00
01
00
10
10
10
01
00
11
10
10
01
11
01
01
00
10
00
10
11
00
01
10
10
00
11
00
00
00
11
11
00
10
11
11
10
00
00
10
10
10
10
00
01
11
10
01
00
10
11
00
01
01
00
10
11
00
01
00
10
10
01
10
00
00
10
00
10
00
00
11
00
00
01
10
10
10
00
01
00
00
10
11
10
00
01
11
11
00
11
10
01
00
00
10
11
01
00
01
00
00
10
11
00
00
01
11
11
11
10
00
10
10
00
00
10
10
00
01
10
11
11
00
00
00
01
01
11
10
10
10
00
11
10
10
10
00
00
00
00
00
00
01
00
10
10
11
10
01
00
10
10
00
00
01
10
10
10
01
00
10
10
00
10
00
00
10
00
00
01
10
00
11
10
11
10
11
01
11
11
10
00
00
11
10
00
10
10
00
00
01
11
00
01
00
00
01
01
11
00
10
10
11
11
11
01
00
01
11
00
01
00
10
00
10
10
10
11
01
00
11
01
01
11
01
00
10
10
00
10
01
00
11
10
00
00
00
00
10
11
00
10
11
00
10
10
10
00
10
00
00
01
10
01
00
01
00
01
11
10
00
01
10
10
10
00
10
10
10
00
00
11
11
10
10
01
01
10
00
10
10
00
10
00
00
01
10
10
10
11
01
00
11
10
00
00
10
10
00
00
00
00
10
10
00
00
01
10
00
00
10
00
11
00
01
00
10
10
00
11
10
01
11
00
00
01
00
00
10
10
01
00
10
00
01
10
01
00
00
11
00
11
10
11
00
10
10
00
11
01
10
11
11
00
11
00
11
00
00
11
01
10
00
01
10
00
10
10
00
01
00
00
00
00
00
11
10
00
10
01
00
00
10
10
10
10
10
00
10
10
00
00
11
00
01
00
11
00
00
11
10
01
01
11
11
00
00
10
00
00
00
10
00
00
11
10
11
00
10
10
10
00
01
01
10
01
01
11
00
10
10
01
00
11
00
00
10
10
10
10
11
01
11
00
01
01
01
00
00
11
11
00
00
00
11
00
10
10
01
00
10
10
01
01
00
00
11
10
00
00
01
10
10
00
11
10
00
00
00
10
10
00
10
10
10
00
11
11
00
00
10
11
10
01
10
10
00
01
00
01
10
10
10
11
00
00
00
01
10
01
00
10
10
10
00
01
10
11
00
11
00
01
10
01
10
01
11
11
10
01
00
10
10
10
00
01
00
10
10
00
00
00
10
01
01
01
10
11
00
00
00
10
10
10
01
01
10
10
11
00
10
10
00
00
10
11
01
01
00
01
00
10
10
10
01
01
10
10
10
00
10
10
01
11
10
10
11
01
10
10
00
11
00
00
10
00
00
10
11
11
10
10
00
10
01
10
01
00
11
11
10
10
11
01
00
10
11
00
01
11
01
11
11
10
00
10
10
01
00
11
10
11
11
00
10
00
01
10
00
00
00
11
00
11
00
00
00
10
10
01
11
00
11
01
11
01
01
10
10
10
00
11
11
00
00
00
00
11
00
01
11
11
00
10
10
11
11
10
00
00
10
00
10
10
10
00
11
11
00
10
00
01
10
00
10
01
10
00
11
10
00
00
00
10
10
10
10
01
00
00
10
10
00
11
00
11
00
00
00
00
10
11
01
00
00
11
00
10
00
10
01
00
00
10
00
01
11
10
10
00
01
10
11
00
00
01
11
00
10
00
00
00
00
10
10
10
01
10
10
01
10
01
00
11
10
10
00
00
01
00
10
10
10
00
00
10
00
00
10
10
10
00
00
10
11
00
01
10
10
00
10
10
00
01
11
10
01
10
10
11
01
00
00
11
00
11
10
01
10
10
00
10
10
01
00
11
00
01
00
10
10
11
00
00
01
10
10
01
11
10
11
00
10
00
01
11
10
11
00
01
01
10
10
00
00
00
01
10
01
00
10
00
00
00
10
10
10
00
00
10
00
01
11
10
00
10
00
01
10
11
00
10
10
01
00
00
10
10
01
11
01
10
01
00
10
01
01
11
11
10
00
11
00
00
11
01
00
10
00
01
10
00
00
10
10
11
10
00
00
11
10
11
10
00
00
10
11
10
11
01
00
00
10
10
10
10
11
00
10
01
01
01
00
10
10
00
00
10
11
10
01
00
10
01
00
00
10
10
00
11
10
01
10
01
00
11
00
10
11
10
00
00
10
00
10
10
00
10
10
11
01
00
11
00
01
11
01
00
10
00
10
10
11
11
00
01
11
10
00
00
10
00
10
10
01
01
10
01
01
00
10
11
00
10
11
01
11
00
10
00
11
10
00
11
10
11
11
00
00
11
11
00
10
11
11
11
11
01
00
00
01
11
00
00
10
11
11
00
10
10
01
11
10
00
01
11
10
01
00
00
01
10
00
10
10
00
00
10
10
00
01
00
10
00
11
01
01
00
11
00
00
11
01
00
00
00
10
01
10
10
00
00
10
00
00
01
01
10
00
00
00
00
01
10
10
10
10
10
11
10
11
01
00
10
10
00
10
00
00
11
10
00
11
00
00
11
00
01
10
11
10
01
10
11
00
11
11
10
00
00
00
10
01
01
10
11
11
10
10
11
00
01
10
11
00
11
00
01
00
10
01
01
00
10
11
01
01
11
10
11
01
11
01
10
10
00
00
00
01
10
10
10
00
00
10
00
10
00
10
11
10
10
01
01
10
01
11
10
11
00
01
10
11
00
10
10
00
00
00
10
00
00
10
01
01
10
10
10
00
11
00
10
10
10
01
10
00
00
00
00
11
10
00
00
11
10
00
00
10
10
10
00
00
11
00
00
01
11
00
11
00
00
10
11
10
11
01
00
10
11
00
00
10
11
10
10
01
00
10
10
00
10
00
00
10
11
00
11
01
10
01
00
10
00
10
10
00
11
00
11
10
01
00
11
10
10
10
00
00
10
00
00
01
11
11
00
10
00
00
10
11
00
00
10
00
10
00
01
10
11
01
00
11
00
11
10
00
01
10
11
01
10
00
10
10
10
00
00
10
10
00
10
01
00
10
01
00
10
00
11
10
00
00
10
10
00
10
01
10
00
01
10
00
11
00
10
00
00
00
00
11
11
00
10
10
10
10
00
10
00
11
10
00
11
01
10
00
00
01
11
00
00
01
01
10
00
10
10
10
00
00
10
00
11
10
11
11
01
01
10
01
01
00
11
10
01
00
10
11
01
00
10
11
00
10
10
01
00
10
00
10
11
11
11
10
00
00
10
01
01
00
11
00
00
11
10
00
01
10
10
10
00
01
00
00
00
11
00
10
11
01
10
10
10
00
11
11
00
01
10
00
00
01
00
01
11
10
10
00
10
11
11
01
01
00
01
10
00
01
10
10
00
00
11
10
11
01
01
10
00
01
10
01
00
10
10
01
01
01
11
10
01
01
11
10
00
00
10
11
11
00
01
10
10
11
11
00
00
00
10
11
00
00
11
11
00
00
10
10
00
00
00
10
10
01
10
00
10
00
10
11
10
11
10
10
10
01
00
11
11
00
00
10
10
00
10
00
00
10
00
00
10
00
00
01
10
11
00
00
10
01
01
10
10
00
00
00
00
10
11
00
01
10
00
10
11
00
00
00
10
11
00
10
01
00
10
11
11
00
10
01
00
10
00
10
10
10
00
10
10
10
10
00
10
11
00
01
11
00
11
00
11
00
11
11
10
00
01
10
11
00
01
00
11
10
01
10
01
11
11
00
00
00
11
10
10
00
10
00
00
10
10
10
00
00
10
00
01
00
10
00
00
00
00
10
10
10
10
10
00
11
01
01
10
10
00
00
11
11
00
00
11
00
00
01
00
00
10
01
01
00
11
11
01
11
10
10
10
01
00
00
01
10
10
10
11
00
00
00
01
10
10
00
01
10
00
01
10
10
11
11
00
10
11
00
00
10
10
11
00
00
00
11
10
00
11
00
00
00
11
10
10
10
00
01
10
01
00
01
10
10
00
10
01
11
00
01
10
01
11
10
11
11
10
00
10
11
10
00
00
00
01
01
00
10
00
00
00
10
01
11
10
10
11
00
00
10
00
00
00
10
10
00
00
11
11
10
00
00
01
11
01
10
11
00
01
00
00
01
11
11
10
11
00
00
00
10
11
00
00
10
11
01
01
01
00
10
00
00
10
10
01
00
00
11
10
00
00
10
10
01
10
00
10
10
10
10
10
00
01
10
00
11
01
10
10
11
00
00
00
01
11
01
10
10
10
10
00
01
11
10
01
10
01
00
10
00
00
10
00
10
11
10
11
10
11
01
10
10
01
10
11
00
01
11
01
11
11
00
10
11
01
00
00
11
11
10
00
01
10
10
00
11
10
10
00
01
10
00
01
10
10
10
10
00
10
10
01
00
10
00
01
00
10
10
00
10
00
11
10
01
10
10
00
00
01
10
00
10
11
10
01
01
10
10
00
01
10
11
11
10
00
01
00
00
00
10
11
11
00
00
00
00
00
11
10
10
00
10
00
10
10
00
01
11
00
10
00
10
00
01
10
00
00
10
11
00
00
10
10
01
00
10
11
10
00
00
10
00
00
00
01
00
00
00
10
10
11
10
01
10
10
00
00
10
11
00
01
01
10
10
10
11
10
10
01
01
00
11
01
10
11
00
00
10
00
11
00
00
10
10
00
00
11
00
00
10
00
00
10
11
11
11
10
11
10
00
11
01
10
10
11
00
11
00
00
00
11
11
10
11
00
01
10
00
10
00
00
10
10
11
00
10
10
00
01
10
10
10
01
00
00
10
10
01
00
10
00
00
10
00
00
10
01
00
10
00
11
01
10
00
00
01
00
01
10
00
00
11
11
00
01
10
01
00
11
00
11
00
00
00
10
10
00
00
00
01
11
01
01
00
00
10
10
01
01
10
10
00
01
10
00
10
10
00
11
00
01
00
01
00
00
01
00
11
10
00
00
00
11
10
11
00
10
10
00
01
10
10
00
10
11
11
10
00
10
10
11
00
00
01
00
10
00
10
11
00
10
10
00
00
10
10
00
10
10
00
00
11
10
10
00
00
00
10
00
00
01
11
10
11
10
00
10
11
01
10
10
01
10
01
00
01
00
11
00
00
10
11
11
01
01
10
00
11
11
10
10
00
00
00
10
11
10
11
00
11
10
10
01
10
10
00
11
00
11
10
10
00
10
10
01
10
11
00
00
01
10
10
10
00
00
00
10
00
01
00
10
10
10
00
00
10
01
00
11
10
01
10
00
10
10
00
00
10
11
01
00
10
10
10
11
10
01
00
01
10
10
10
11
10
00
10
10
01
01
11
00
10
10
10
01
01
11
11
00
01
10
00
00
11
10
01
00
10
00
01
01
00
10
10
01
01
00
00
11
01
00
10
10
10
10
01
01
10
00
00
10
01
10
11
10
10
00
10
01
00
10
10
10
00
10
00
11
10
11
00
00
00
11
10
00
00
10
10
01
10
00
10
10
00
11
10
01
10
00
00
00
01
11
11
11
01
00
00
00
10
00
00
10
10
00
01
00
00
00
10
00
11
10
00
01
01
10
01
10
10
01
11
01
00
10
10
11
11
01
00
11
10
10
11
10
10
01
00
00
00
00
10
11
10
00
01
11
01
00
10
11
10
01
00
00
11
10
01
11
01
00
11
01
00
10
10
01
00
01
10
10
11
00
00
10
00
00
11
00
00
10
11
11
11
01
01
10
00
00
10
10
00
11
10
01
10
10
10
01
00
10
01
10
10
10
11
01
10
11
10
10
00
00
00
10
00
01
00
10
00
10
00
00
00
01
10
11
10
10
00
10
10
10
10
01
00
01
10
10
01
00
00
01
00
10
11
11
10
11
10
11
01
00
00
00
10
11
00
00
11
11
11
00
00
10
10
01
11
00
01
00
10
10
10
10
00
00
11
10
01
10
10
00
11
00
00
00
11
11
00
10
10
11
01
10
00
00
00
10
10
01
00
10
10
00
11
11
00
10
11
01
01
00
10
10
10
01
00
00
10
11
00
11
00
10
11
00
10
10
00
01
01
00
10
00
10
10
00
01
10
11
10
10
00
01
11
10
00
10
01
00
10
00
10
11
00
00
10
00
01
10
10
00
00
00
10
00
10
10
01
10
10
11
10
00
00
11
10
11
10
11
00
01
10
10
11
00
00
11
11
00
11
10
10
10
10
10
11
00
01
00
00
00
00
00
10
01
00
11
01
10
01
10
01
10
10
00
00
00
11
11
00
00
00
00
00
11
10
11
01
10
00
00
11
11
01
00
00
00
10
00
11
10
11
11
00
00
01
00
01
10
11
01
01
10
11
10
01
01
01
00
11
00
00
01
10
11
01
10
10
00
01
00
10
10
00
00
00
10
10
10
11
10
01
00
10
10
00
10
11
10
00
00
00
10
01
00
00
01
00
00
00
10
00
00
00
10
00
10
01
00
11
11
10
00
00
00
11
01
00
01
10
10
10
01
11
01
00
10
11
11
11
00
01
10
01
10
01
00
01
10
10
01
00
11
00
01
10
00
00
11
10
00
01
00
10
01
10
11
00
11
00
11
10
00
00
10
01
00
01
10
10
00
10
01
00
01
11
00
00
00
10
10
00
10
10
10
01
10
10
10
10
01
01
10
00
10
10
01
11
11
01
10
11
00
00
10
10
00
10
10
01
10
10
01
10
11
10
10
00
10
10
00
10
10
01
00
00
10
10
01
10
10
10
00
00
10
00
10
01
00
00
00
10
01
00
11
10
01
11
10
10
01
01
10
10
01
11
00
11
10
01
00
01
00
10
01
01
10
10
00
00
10
10
00
10
10
10
10
10
00
10
11
10
00
01
00
00
00
00
11
10
10
11
10
10
00
11
00
10
00
01
11
10
00
10
10
00
10
11
00
00
11
00
10
00
10
10
00
10
00
00
01
11
01
00
10
00
11
00
00
10
11
01
00
10
01
00
10
11
11
11
00
01
00
00
10
00
00
00
00
10
01
10
00
11
10
11
00
10
10
01
10
00
11
10
10
10
00
00
10
01
00
10
10
10
10
10
10
00
10
11
10
10
01
00
00
10
11
11
10
01
11
10
11
00
10
10
10
00
00
10
10
10
00
00
11
11
01
01
00
01
00
00
00
10
10
00
10
11
10
10
10
01
00
01
10
11
10
00
10
00
01
10
10
00
00
10
00
10
10
10
10
01
01
00
01
10
10
10
00
00
00
10
11
10
11
00
01
10
01
01
11
11
01
11
10
00
00
01
10
11
10
00
00
00
10
11
10
00
10
10
00
01
10
01
00
01
00
10
01
10
00
00
10
10
00
10
11
01
00
01
00
10
11
10
11
00
10
11
00
10
00
10
10
01
00
11
10
01
01
00
01
11
10
10
00
01
11
00
01
10
00
10
00
10
01
00
10
11
00
11
00
10
10
10
00
00
11
00
10
10
10
01
10
00
10
10
11
11
00
00
11
01
00
11
10
10
10
11
00
00
01
11
10
11
01
01
00
00
10
10
00
10
00
00
11
00
01
11
10
01
01
10
11
00
10
10
10
00
00
11
00
10
11
10
11
00
10
11
00
00
11
00
01
10
11
00
01
10
00
00
00
11
10
10
10
11
01
10
10
01
10
10
10
00
10
10
01
01
10
10
00
01
00
11
00
10
10
01
00
00
00
00
11
00
00
11
10
00
01
10
10
10
00
00
10
10
10
00
00
10
01
10
01
01
10
01
10
10
10
10
11
00
11
11
00
00
00
11
10
00
01
10
10
00
11
10
10
10
10
01
00
11
00
00
10
10
10
10
00
10
00
00
00
00
10
00
11
11
10
00
00
10
01
11
10
00
11
10
00
11
10
00
00
11
00
00
00
10
00
00
01
01
10
10
01
00
10
10
00
10
01
00
00
10
11
00
10
00
00
10
10
10
01
10
10
01
10
00
10
11
11
11
00
10
10
00
10
00
10
10
00
00
10
10
10
01
10
00
00
10
10
10
10
00
00
10
00
10
11
00
10
11
00
00
01
00
01
10
11
10
11
00
10
00
00
10
10
10
00
00
10
10
10
00
11
01
00
11
11
01
10
10
00
01
10
10
00
00
10
10
11
01
00
10
00
11
00
10
11
10
01
10
10
01
00
11
00
01
10
00
10
00
00
00
10
00
10
00
11
10
11
00
01
10
00
00
10
00
00
01
11
10
00
10
11
00
00
11
01
00
10
11
01
00
00
00
11
10
10
00
00
10
11
10
00
01
10
10
00
00
11
10
00
00
10
11
11
01
11
01
01
11
00
00
11
11
10
10
00
10
10
01
00
00
10
11
11
00
10
10
10
01
01
01
11
11
00
00
10
11
11
00
11
00
00
10
10
10
10
10
00
00
10
11
01
10
00
00
10
10
00
00
00
01
11
11
11
01
00
01
01
11
10
00
00
10
01
00
10
00
01
10
11
10
10
11
01
01
10
00
11
01
01
10
00
00
00
10
00
10
11
00
00
10
11
00
10
10
11
10
10
11
01
10
10
10
00
00
00
10
11
10
00
01
00
10
00
00
11
00
01
10
00
01
10
00
11
10
00
11
10
10
01
10
00
10
01
01
10
01
00
10
10
01
10
11
11
00
00
01
00
11
00
00
01
10
01
10
01
01
10
10
10
11
10
00
00
10
11
01
01
10
01
11
10
10
11
00
00
10
10
10
01
00
11
10
00
00
00
00
00
00
10
00
00
00
11
00
10
01
10
00
00
10
00
11
10
01
10
11
11
00
10
01
00
01
10
01
10
01
01
00
10
10
00
00
10
10
10
00
10
11
11
10
10
00
10
01
11
10
00
11
10
00
00
10
10
00
10
10
01
11
01
00
10
10
00
01
10
00
00
11
11
10
10
00
10
11
10
00
11
00
00
01
11
11
10
00
00
00
00
10
11
00
10
10
10
00
11
11
10
10
10
01
00
10
01
00
11
11
01
10
00
00
11
00
01
10
11
01
00
01
10
00
00
01
10
10
01
00
10
11
10
10
10
00
00
11
01
10
01
10
10
01
00
00
11
00
00
10
00
00
00
10
10
11
00
00
00
11
00
01
00
01
01
10
11
10
10
00
10
10
00
11
11
10
00
10
10
00
01
00
01
10
10
11
10
10
01
00
10
01
10
10
00
01
10
01
00
10
11
01
00
11
00
01
11
10
00
10
10
00
00
10
10
01
10
11
11
00
00
00
10
01
10
11
01
11
00
01
01
11
01
10
00
00
00
00
10
00
01
11
11
01
00
10
11
00
10
00
00
10
11
11
01
00
10
10
10
11
00
11
01
01
11
00
00
10
11
01
11
00
00
11
10
00
00
00
10
10
00
11
10
10
11
01
11
11
11
10
10
01
10
01
00
10
10
00
00
10
10
11
11
00
00
01
00
10
01
01
10
10
00
10
10
01
00
11
10
00
00
10
00
10
11
00
00
10
10
11
00
10
00
01
10
10
00
10
00
10
10
11
00
00
11
00
10
00
01
11
10
00
00
00
10
10
00
10
10
00
01
00
00
10
00
01
00
00
00
11
10
11
01
10
00
00
00
11
10
00
01
01
11
00
10
10
11
11
01
10
10
11
00
11
00
01
10
00
00
10
00
01
11
11
01
00
01
00
00
10
10
01
00
01
00
10
10
11
01
00
01
10
00
01
10
10
10
01
01
00
01
10
10
00
01
01
11
11
01
01
00
10
00
11
00
10
11
00
10
01
00
11
10
11
00
10
10
11
11
01
10
11
00
01
11
01
00
10
10
00
10
10
10
00
11
01
11
00
00
11
10
01
00
10
10
01
00
10
10
00
00
10
00
01
01
00
11
10
01
11
11
00
01
11
00
01
10
10
10
00
00
01
10
10
10
11
01
01
11
11
00
00
10
10
00
01
10
11
11
01
00
00
00
10
01
00
01
10
11
00
00
00
00
11
10
11
01
10
10
00
01
01
00
10
10
11
00
11
01
00
01
11
10
00
10
10
00
01
10
01
00
10
10
01
00
10
10
10
11
00
00
10
01
10
00
00
00
00
01
11
10
10
10
11
10
10
11
00
01
11
11
00
11
10
10
10
10
11
00
00
01
11
00
10
11
00
01
00
11
10
00
10
10
11
00
00
10
00
00
01
00
00
10
01
11
10
10
00
00
10
10
00
10
10
10
01
11
00
00
10
10
10
10
00
00
11
00
00
10
01
10
10
00
01
00
10
10
11
10
00
10
10
00
00
10
00
10
01
11
10
00
10
11
10
00
11
00
10
10
10
00
01
00
01
11
10
10
00
10
10
11
00
11
10
01
01
00
00
10
01
01
01
10
00
00
10
10
10
00
00
11
00
00
10
11
10
11
10
00
11
10
01
10
10
00
10
10
11
00
00
00
01
00
01
11
00
00
01
10
00
00
00
01
10
11
11
10
01
10
11
01
10
10
10
00
01
00
00
10
10
10
10
00
10
10
10
11
11
00
00
11
00
00
00
00
11
00
10
00
00
10
01
10
10
00
10
01
01
00
01
10
10
01
10
00
10
01
00
10
01
00
00
10
10
11
00
10
00
10
11
10
00
00
10
00
10
01
10
01
00
10
10
11
11
10
10
00
00
01
00
10
11
10
01
10
10
00
00
00
10
10
00
11
10
00
01
01
10
00
11
00
00
00
10
01
00
00
01
10
10
01
01
11
00
10
11
10
10
00
00
00
01
11
10
00
01
00
10
00
00
11
10
00
10
00
00
11
11
10
10
10
00
11
10
01
00
10
01
00
11
00
00
10
11
00
00
10
10
00
10
10
00
01
10
01
00
00
01
10
00
00
10
10
10
00
00
10
00
10
01
00
00
10
10
10
00
00
01
00
10
01
10
10
00
00
00
00
10
11
10
10
00
00
10
10
10
01
11
10
11
00
01
00
10
10
00
00
10
00
00
11
10
11
11
00
01
01
10
00
00
00
10
11
00
11
10
00
10
10
00
11
01
00
10
01
10
01
11
00
01
10
11
10
00
00
01
11
00
00
10
01
10
00
10
01
00
11
11
10
11
11
01
10
10
10
00
01
10
11
10
01
00
01
01
10
01
10
11
00
00
11
11
00
01
00
10
01
10
11
00
10
11
01
00
00
11
01
00
10
00
10
00
10
01
00
00
00
01
01
11
11
10
00
00
00
00
10
10
00
10
11
10
11
10
00
10
01
00
10
10
00
01
00
10
11
01
10
11
00
00
10
10
10
00
00
10
10
11
00
01
00
10
10
01
10
11
00
00
01
00
10
00
01
10
10
00
00
10
01
00
10
00
00
11
10
10
01
01
10
11
00
00
00
11
10
00
10
10
00
11
11
01
10
10
00
00
11
10
00
00
00
01
10
00
11
00
00
10
01
00
00
10
10
00
00
11
10
10
00
01
01
00
10
10
11
00
00
11
10
10
01
10
01
00
10
11
10
01
11
11
01
00
01
10
01
01
11
11
01
10
11
00
00
00
01
00
10
00
00
10
10
00
10
11
10
00
00
00
10
10
10
11
01
00
10
10
01
10
10
01
10
00
00
10
00
11
10
00
11
10
00
10
00
11
10
00
10
10
00
10
11
01
10
00
01
10
10
10
00
00
00
01
00
00
10
10
00
10
11
10
00
00
01
11
00
00
11
00
11
00
01
10
00
01
10
11
00
11
10
00
10
10
10
10
10
00
01
01
00
11
00
00
00
01
00
01
10
10
00
01
11
10
10
00
01
00
10
10
10
00
10
10
10
00
01
00
10
00
11
01
00
00
10
00
01
01
11
11
00
01
10
10
00
10
11
00
10
00
11
11
11
10
01
10
00
01
00
10
10
00
00
11
11
11
10
11
00
10
00
00
00
01
00
10
00
11
01
01
11
10
00
00
00
10
01
00
10
00
10
10
00
11
01
00
10
10
00
00
00
11
00
11
00
11
00
11
10
10
00
10
00
00
01
10
10
11
01
11
00
00
00
10
10
00
00
00
10
11
10
10
10
01
01
10
10
00
00
00
00
10
11
01
00
01
00
00
01
10
10
11
00
11
10
11
01
10
00
10
11
00
01
10
01
00
10
01
01
00
11
01
00
01
11
11
10
01
01
10
10
00
01
11
10
10
00
00
11
10
10
00
00
00
00
11
10
01
11
00
10
00
01
00
11
11
01
11
10
10
10
10
01
01
11
10
10
10
00
10
10
00
00
11
11
10
11
00
10
00
00
00
10
10
00
01
01
01
00
01
10
11
00
11
11
01
10
10
10
01
00
10
11
01
00
10
00
00
00
10
11
10
11
00
01
10
01
01
01
00
11
11
10
00
01
10
11
10
01
01
10
11
00
01
10
11
01
10
11
00
00
00
00
10
11
10
01
11
00
00
10
10
00
00
11
10
10
00
10
00
11
01
10
11
00
01
00
01
10
10
00
10
10
00
00
00
11
10
00
00
10
10
00
01
11
10
01
10
10
00
00
10
00
10
10
00
00
01
00
01
10
11
10
11
00
10
01
01
11
10
10
01
11
10
01
00
11
11
11
00
00
10
10
00
11
11
00
00
01
10
01
00
10
00
11
10
10
01
10
10
00
10
00
01
10
00
00
11
10
00
00
10
10
00
00
10
10
10
11
11
01
11
01
10
00
00
10
10
00
01
00
10
10
00
10
10
01
10
11
00
01
00
10
10
10
10
00
00
11
01
10
00
00
00
01
01
10
10
10
00
11
01
10
01
00
10
11
00
10
10
10
00
01
00
00
00
10
10
00
00
10
00
00
11
10
00
01
01
10
00
01
10
10
00
01
00
11
10
10
00
00
00
00
10
10
00
00
01
01
11
00
10
01
00
10
11
01
00
10
10
00
00
11
00
01
01
11
11
10
01
10
10
00
00
01
11
10
00
00
10
11
01
00
01
01
00
00
10
10
10
00
00
00
11
10
10
01
11
10
10
00
10
01
10
10
00
00
01
10
10
10
00
00
10
01
10
10
11
11
01
00
10
01
10
01
00
01
10
11
00
10
10
11
00
00
01
01
01
10
10
00
00
11
10
11
00
10
10
11
01
10
00
01
00
11
10
01
00
11
00
00
11
10
00
01
10
11
00
00
01
10
10
10
10
00
10
01
10
01
00
11
11
00
00
10
11
01
00
01
11
10
10
00
01
10
00
00
10
10
00
11
01
10
00
10
01
00
10
00
10
10
11
00
00
00
00
00
00
10
01
10
10
00
11
11
10
00
10
01
01
10
11
00
11
01
00
11
00
00
10
10
00
11
10
01
00
10
00
00
10
10
00
01
11
01
11
00
10
11
01
01
11
11
00
10
10
10
10
01
00
11
10
01
10
11
00
01
10
10
10
00
00
01
00
10
11
10
11
00
00
00
01
10
00
00
10
11
10
01
10
00
00
10
00
00
10
00
00
10
01
10
01
01
11
01
11
10
00
00
10
01
01
00
10
10
10
00
01
11
00
01
00
00
10
01
01
11
10
11
10
00
10
11
10
00
00
10
11
00
01
00
10
00
00
01
11
11
00
10
10
00
10
00
10
11
00
00
00
00
00
00
10
00
11
10
01
10
00
01
11
01
11
11
01
00
00
11
10
10
10
00
00
00
10
01
00
10
10
10
00
00
10
00
10
01
10
00
11
10
10
10
01
01
10
10
11
10
10
10
00
01
11
00
00
00
00
00
00
01
00
10
00
10
10
01
00
10
11
11
11
00
11
00
10
01
00
01
00
00
11
11
00
10
00
00
00
11
10
00
01
00
00
10
10
00
11
10
10
00
00
00
11
10
10
11
01
10
01
01
10
01
01
00
10
00
00
00
00
10
10
00
10
00
10
10
01
11
11
00
01
10
10
01
10
01
01
10
00
10
01
11
11
00
00
01
00
00
11
11
01
00
10
00
00
10
01
01
10
11
01
11
10
01
11
11
11
00
10
10
10
11
00
10
00
11
10
10
10
10
11
01
01
00
00
10
10
11
10
00
00
11
10
01
00
10
00
10
00
00
10
10
10
10
01
01
00
00
10
00
01
01
11
10
11
11
10
10
00
11
11
10
01
01
01
10
10
01
11
10
00
10
11
10
10
10
01
01
00
10
11
00
00
01
10
10
00
11
00
00
11
00
00
10
10
10
01
10
11
10
10
01
10
11
00
01
11
10
10
00
00
00
10
10
01
10
01
00
10
00
01
11
10
10
10
10
01
10
00
00
11
10
00
01
01
11
10
00
01
10
00
01
10
10
00
11
00
11
00
00
00
00
01
10
10
00
11
00
01
00
10
10
11
10
00
01
00
10
10
00
00
10
01
00
00
11
00
10
10
10
00
00
10
10
11
00
11
00
00
00
11
01
00
11
10
00
01
11
11
00
10
11
01
00
11
10
10
01
01
11
01
11
00
00
11
10
00
01
10
00
00
11
00
01
11
10
10
00
00
00
00
11
10
10
10
00
10
00
10
00
11
10
10
00
01
10
10
10
00
10
11
10
11
00
10
00
11
01
11
10
00
00
10
10
10
10
00
01
10
11
00
01
01
00
10
00
00
10
10
00
01
10
10
00
00
00
00
10
10
00
10
00
11
10
10
10
10
11
01
00
11
01
00
10
10
00
01
10
10
00
00
00
00
10
00
01
11
00
00
00
10
10
11
01
11
11
01
10
00
00
10
00
00
10
01
00
10
11
10
01
00
00
11
01
10
11
10
00
00
11
00
00
10
10
11
01
11
00
00
01
10
00
11
10
10
10
00
01
01
00
00
00
10
11
00
11
00
00
10
00
01
10
10
00
00
00
01
10
10
01
00
10
00
10
11
01
00
00
00
00
11
10
01
10
11
10
01
00
11
00
00
00
01
10
11
00
01
00
11
10
10
00
00
11
00
11
11
11
01
00
01
00
10
10
10
01
01
00
11
00
00
10
10
01
01
01
10
11
11
10
11
10
00
00
01
10
11
10
01
00
01
00
00
00
11
11
01
10
10
00
10
01
00
10
10
01
11
10
00
01
00
10
01
11
01
00
00
10
10
00
00
00
10
00
10
11
10
00
01
10
11
10
01
01
01
01
00
10
10
10
00
10
10
00
00
01
00
11
11
00
00
00
11
11
01
01
10
00
11
01
10
11
00
00
10
10
00
00
10
00
10
00
10
10
00
10
00
10
10
11
01
00
00
10
00
11
10
00
10
10
00
10
11
00
11
11
01
01
00
10
11
10
00
11
00
10
00
01
11
10
00
00
10
01
10
10
10
01
00
00
00
00
10
11
10
11
01
00
10
10
11
00
10
10
00
00
01
01
11
10
01
01
10
10
11
00
00
00
10
10
11
10
00
10
10
11
01
00
00
10
10
00
10
11
00
01
11
00
00
11
00
10
11
00
11
00
00
11
10
10
00
11
00
10
00
11
00
10
01
00
10
10
10
00
00
00
11
11
01
10
11
11
00
01
01
01
10
10
00
00
10
10
10
00
00
00
00
10
10
00
10
10
00
00
00
10
10
01
01
00
11
10
10
01
10
10
11
00
00
01
10
00
01
10
10
11
11
01
01
10
10
00
00
11
10
00
00
10
10
00
01
10
11
10
00
00
11
11
00
11
11
01
10
10
00
00
11
11
01
00
10
01
00
10
10
01
00
00
00
10
11
00
10
00
00
10
10
01
00
10
10
10
00
11
00
00
00
00
11
10
10
01
00
10
10
00
01
01
10
01
10
10
10
01
01
01
10
10
00
01
01
00
11
01
00
10
10
00
10
00
01
10
01
00
00
00
00
10
11
10
00
00
10
00
10
10
01
10
10
00
10
00
10
10
10
01
00
00
10
11
01
11
10
01
10
10
01
10
00
00
11
10
00
00
10
00
00
11
00
01
01
00
10
10
10
10
01
00
11
01
00
01
10
00
00
00
10
10
00
00
00
00
00
10
10
10
10
11
10
11
00
00
00
10
00
00
10
11
00
01
11
00
10
11
10
00
00
10
11
00
10
01
10
00
00
00
10
00
10
10
10
10
11
10
00
00
00
00
10
00
11
10
00
10
01
01
10
11
00
00
10
11
00
00
00
11
10
00
01
00
00
10
11
00
10
11
10
10
10
10
00
00
11
00
10
10
10
00
00
01
01
10
01
10
00
10
10
11
10
10
11
10
01
10
00
00
00
01
10
00
00
10
01
10
10
01
01
10
01
00
00
00
11
10
10
00
11
00
01
11
01
10
10
10
00
01
10
10
00
10
10
00
01
10
10
10
00
00
10
00
01
00
10
00
01
10
00
11
00
01
11
00
01
01
00
11
11
10
11
01
11
10
01
00
11
00
00
00
10
00
01
00
11
10
00
10
10
00
01
10
10
10
10
10
00
10
00
00
10
00
11
11
10
10
10
10
01
11
01
01
10
00
10
00
00
01
10
10
10
11
00
00
00
01
11
01
10
00
00
10
10
00
10
11
00
00
10
10
01
11
00
10
11
00
11
00
01
00
00
00
10
10
00
10
00
01
00
00
01
11
00
11
11
01
00
00
10
01
00
11
10
11
10
01
00
10
00
01
01
10
00
00
11
00
01
01
10
11
11
11
00
00
10
11
01
10
11
00
11
11
00
10
10
00
00
11
11
00
11
00
01
10
10
00
11
01
01
10
11
00
00
11
01
11
00
11
11
01
00
01
10
00
10
10
10
11
00
00
00
00
10
10
11
10
00
00
00
01
10
00
01
10
00
10
00
11
10
00
00
10
00
00
00
10
00
00
11
11
01
00
10
00
10
00
00
10
11
11
11
10
10
01
10
11
01
10
11
00
01
00
10
10
11
10
01
10
11
00
11
10
10
00
01
11
10
10
01
10
10
10
10
00
01
11
11
10
01
11
10
00
00
00
01
00
10
10
00
00
10
01
00
10
11
00
10
11
01
00
00
10
00
10
10
00
10
10
00
10
00
11
00
00
00
00
11
10
01
00
10
10
10
11
00
00
11
00
10
10
10
10
10
00
11
10
10
00
10
00
00
10
11
10
01
00
11
00
01
11
10
00
00
10
10
10
00
00
00
00
00
10
11
00
10
10
10
00
00
01
10
00
00
00
10
10
11
10
11
00
10
10
11
10
10
11
10
00
00
01
10
10
01
00
00
11
11
01
10
10
00
10
10
00
11
00
01
10
01
00
01
11
11
11
01
10
11
11
00
01
10
10
10
10
00
00
01
11
11
00
00
10
10
00
11
11
00
01
00
10
10
00
00
10
10
10
00
00
01
00
11
01
00
10
10
10
01
00
10
10
10
01
11
01
00
11
00
11
01
11
01
00
00
10
01
00
10
01
01
00
10
10
10
00
11
00
00
00
10
11
00
00
11
11
01
00
10
00
00
10
00
00
10
11
00
10
00
01
11
01
11
10
01
10
10
11
00
00
10
10
00
01
00
10
10
11
10
11
10
00
01
10
00
11
11
01
00
01
00
00
00
00
11
11
11
11
00
00
01
10
01
01
10
11
01
01
00
00
11
10
10
01
00
10
00
11
00
01
00
11
00
00
00
00
10
00
11
10
01
01
01
01
11
10
01
10
11
10
10
10
01
00
00
00
00
00
10
10
00
10
11
10
11
11
10
00
10
00
10
11
00
01
10
11
00
00
10
11
00
00
00
10
01
00
10
10
11
01
00
00
00
00
11
00
00
10
00
00
10
11
10
00
11
00
11
11
00
10
11
01
11
10
00
10
10
10
01
00
10
10
01
11
01
11
11
00
11
00
01
10
00
01
10
00
10
00
00
01
10
11
00
11
11
00
01
00
10
10
10
01
00
00
10
10
01
11
00
01
01
00
10
11
00
11
00
00
01
00
11
00
10
10
11
00
00
01
10
00
00
00
00
00
10
10
01
11
11
11
01
00
00
00
01
11
11
10
00
01
10
10
00
00
10
01
11
00
00
00
10
11
00
01
10
00
01
10
01
11
11
01
10
10
00
10
00
01
11
11
00
00
11
11
01
10
00
01
10
11
00
10
10
10
01
10
11
00
10
10
11
00
10
00
00
11
01
10
00
00
10
01
11
10
00
00
10
00
00
00
11
10
00
11
10
10
00
00
10
01
01
11
10
10
10
00
01
10
00
00
01
10
11
11
00
10
01
00
10
00
00
01
10
01
11
11
00
00
11
00
10
10
01
00
10
11
01
00
11
10
10
10
00
10
00
10
00
10
01
00
00
11
11
00
10
10
00
00
11
00
10
00
00
10
10
10
00
01
00
10
10
00
00
00
01
11
10
10
10
10
01
10
10
00
01
10
01
11
00
10
00
00
01
01
10
00
10
10
01
00
10
10
00
11
10
01
01
11
00
00
10
10
01
00
00
11
10
10
10
00
01
11
10
10
11
00
00
10
00
11
10
11
00
11
00
11
00
10
10
00
00
11
10
00
11
00
01
10
01
00
11
11
01
10
10
00
00
11
11
11
00
10
10
01
01
00
00
10
10
00
10
10
01
11
00
10
01
11
00
00
10
10
00
01
11
00
00
00
10
01
10
11
10
10
10
11
10
00
10
11
11
01
10
10
01
01
01
10
01
00
00
11
01
10
10
00
01
10
10
10
00
11
10
01
11
10
01
01
01
10
11
01
01
00
10
11
00
10
11
00
00
10
11
00
01
10
10
11
00
10
00
00
10
00
11
01
00
01
01
00
10
01
10
10
10
10
10
10
01
00
00
10
00
10
00
11
10
10
00
01
00
01
10
00
00
10
10
10
00
00
01
11
00
01
00
10
11
00
00
10
10
00
00
01
10
10
11
01
10
01
10
01
10
11
01
10
10
10
01
10
10
10
11
10
10
11
00
01
00
11
00
00
11
00
00
10
00
00
01
01
10
10
00
00
11
00
01
10
11
11
10
11
00
10
10
10
00
10
10
00
10
00
11
10
11
11
11
01
00
11
10
01
00
10
11
00
00
11
11
01
00
11
10
10
11
00
00
10
11
01
01
00
00
10
11
00
10
10
01
00
01
00
11
10
10
00
10
00
10
01
00
11
01
00
10
10
00
00
00
11
10
01
00
00
11
01
10
11
10
10
01
11
10
10
11
00
10
10
00
00
11
00
10
10
00
00
11
10
00
11
00
10
11
11
10
00
00
11
10
10
10
00
00
01
10
11
00
00
10
00
10
01
00
11
11
00
01
10
00
00
11
11
00
00
10
10
10
10
11
10
10
10
10
10
10
01
00
00
10
10
00
00
10
00
00
10
00
00
10
11
10
10
11
10
00
10
10
01
00
10
00
00
10
11
00
00
11
10
00
10
00
00
11
10
00
10
00
10
01
01
01
10
10
11
01
00
00
10
10
00
00
10
00
00
10
10
10
00
10
10
10
10
10
00
00
00
01
10
00
10
00
00
00
10
11
00
01
00
01
01
11
01
11
10
00
10
10
00
00
10
10
11
00
01
01
00
11
01
10
11
10
00
11
11
00
10
11
01
00
00
00
10
10
00
11
00
11
10
11
10
10
00
00
01
10
10
00
01
10
00
00
10
00
10
00
00
11
10
00
10
00
01
11
10
01
10
00
01
01
10
10
00
10
10
00
00
01
10
11
11
00
10
00
10
11
00
00
10
10
00
00
10
11
10
11
10
00
11
11
11
00
01
01
01
11
10
10
00
00
11
10
01
00
11
00
11
10
10
11
00
10
10
10
00
00
00
10
11
00
11
00
00
10
11
00
10
10
01
11
00
01
00
10
10
00
01
10
01
01
10
11
01
11
10
10
01
01
10
11
10
01
01
10
01
10
00
00
10
11
00
00
10
11
00
00
01
10
11
10
11
01
10
11
00
11
11
00
11
00
00
00
10
10
10
10
01
11
10
10
00
00
10
10
11
00
00
01
00
11
10
10
00
11
10
00
10
10
00
00
00
11
10
11
10
00
00
10
01
00
11
00
10
00
10
10
11
01
00
10
10
00
10
00
00
00
11
10
11
10
11
00
00
10
00
00
10
00
01
11
10
00
01
00
01
00
00
10
00
00
10
10
00
00
10
11
11
10
00
10
00
10
11
00
00
00
10
11
00
10
10
00
11
10
01
00
01
10
00
10
10
10
00
10
11
00
00
10
01
10
00
00
00
01
10
11
00
00
01
11
01
01
00
11
01
01
11
11
10
11
11
00
01
00
00
11
11
10
10
00
00
01
11
10
11
00
10
00
01
01
10
11
01
11
01
10
11
00
00
10
01
00
10
01
10
00
10
11
10
11
10
10
10
01
01
00
00
01
00
10
10
00
10
01
00
00
10
00
11
10
10
00
10
10
10
01
00
00
00
10
10
00
10
10
11
00
11
00
10
00
00
00
10
01
00
10
11
00
00
00
10
01
01
10
11
11
10
00
10
10
10
11
01
00
00
10
01
10
10
00
00
10
10
00
00
01
10
01
01
10
11
10
10
01
01
10
10
00
10
00
01
00
01
00
11
01
10
00
00
01
10
00
00
10
11
00
00
10
11
00
11
10
01
01
11
11
00
01
00
10
00
10
10
00
10
11
10
11
00
11
00
00
10
11
00
10
10
10
10
10
11
00
10
01
10
10
10
10
00
01
00
11
00
10
10
11
00
10
11
00
00
01
00
00
00
00
11
00
00
11
11
00
00
00
11
10
10
11
00
11
10
01
11
00
10
00
10
10
00
00
11
10
10
00
00
01
00
10
00
10
00
10
11
11
10
11
01
10
00
00
10
01
00
11
10
10
00
11
11
00
10
11
00
10
10
00
00
10
10
00
00
00
11
10
11
01
11
10
00
01
10
01
00
11
00
11
00
01
01
01
11
10
00
10
10
00
00
00
10
00
00
01
11
10
11
00
10
10
11
10
00
00
00
11
10
00
01
01
11
10
01
00
10
10
10
00
00
00
10
10
10
00
00
10
01
10
11
10
11
01
00
10
01
10
00
00
11
01
00
00
01
10
10
01
10
10
00
10
00
10
01
00
00
11
11
11
10
00
00
01
10
10
10
11
11
00
11
10
10
11
00
00
10
00
00
10
10
00
10
11
00
10
10
10
00
10
10
00
00
10
10
01
00
01
10
10
01
00
10
10
11
01
00
11
10
10
01
10
10
10
00
01
01
01
11
10
00
10
00
10
00
00
10
10
01
10
01
10
11
00
11
00
00
10
10
10
00
00
10
10
10
00
10
10
10
01
01
00
00
11
01
01
01
10
00
11
10
11
00
00
10
10
01
01
00
10
01
00
00
01
00
11
00
00
10
10
10
00
01
11
01
01
11
01
00
10
00
10
00
01
11
11
00
10
00
11
10
01
00
11
00
10
11
10
10
00
01
01
11
00
00
10
01
00
11
00
00
00
00
01
10
11
01
10
10
01
11
10
11
10
00
00
11
11
00
00
10
01
01
01
10
10
10
00
00
00
11
11
00
10
00
10
00
00
00
10
10
11
11
01
01
10
00
11
01
00
11
10
01
10
01
00
00
11
10
00
10
11
00
10
10
00
00
11
11
00
10
10
00
11
10
00
10
11
00
00
10
10
10
00
01
11
11
11
00
00
00
00
10
00
10
01
00
00
00
10
01
11
11
10
01
10
10
11
10
01
00
00
00
11
11
00
10
10
00
01
01
00
11
11
01
11
10
00
11
01
10
10
00
00
10
11
00
11
11
10
00
00
10
00
10
11
00
00
10
10
10
00
01
10
11
10
00
11
01
01
11
00
01
00
10
10
01
00
10
10
00
00
10
10
11
10
00
11
11
01
10
00
00
10
00
10
01
01
10
10
00
01
11
01
10
10
11
01
11
11
01
00
11
10
01
10
10
01
10
00
10
10
00
10
10
00
00
00
10
10
01
10
10
01
10
11
10
10
00
00
00
00
00
11
01
10
00
10
10
10
01
00
00
10
11
10
00
00
00
00
01
10
10
01
10
00
10
01
00
10
10
10
01
10
00
01
10
10
11
01
10
01
10
00
10
10
00
00
10
00
11
01
10
10
00
10
10
00
11
01
01
01
00
01
00
11
00
00
01
10
01
00
00
00
10
10
00
11
10
00
00
00
00
01
10
10
01
01
00
10
01
10
00
11
10
01
01
10
10
00
10
00
11
10
00
10
01
00
01
01
11
10
00
11
10
10
00
00
10
11
01
10
10
10
10
10
01
00
11
10
00
10
10
10
10
01
00
00
11
00
01
10
00
11
00
01
10
00
01
11
00
00
01
10
10
01
00
10
10
11
10
00
00
11
00
00
10
01
11
10
00
11
00
01
10
10
00
01
11
11
10
01
00
00
11
11
01
00
10
10
10
10
00
00
11
11
11
10
00
00
10
01
00
10
11
00
01
00
00
11
10
00
00
10
10
10
00
11
00
10
00
01
10
00
00
00
10
00
00
10
01
00
01
00
01
00
10
11
10
10
01
01
10
00
10
10
10
01
01
11
11
00
10
10
10
01
10
10
00
10
10
10
10
00
01
10
10
10
10
01
10
00
00
00
10
10
11
10
01
01
11
00
00
10
00
10
11
00
00
10
10
11
10
00
10
10
01
00
00
10
00
11
10
00
00
00
11
00
10
10
00
00
11
00
10
01
01
11
11
01
01
00
01
10
10
11
01
01
01
10
11
00
10
10
00
00
11
01
00
00
00
10
10
10
00
01
11
01
10
00
01
00
11
10
10
10
00
00
00
01
10
00
01
11
00
01
10
10
10
00
01
11
00
11
10
01
00
01
00
11
10
00
00
10
00
00
00
11
11
00
01
01
01
10
10
10
10
00
01
00
10
10
00
10
11
00
00
00
10
11
11
10
10
00
10
10
00
10
01
00
11
00
10
00
00
10
00
11
10
00
10
01
10
10
01
01
11
01
00
10
00
01
10
00
00
00
11
10
11
10
00
00
01
00
11
01
01
11
00
01
11
01
00
11
11
11
01
00
10
11
10
00
01
01
00
00
10
10
00
10
10
10
11
10
01
01
00
01
10
10
00
10
10
10
01
00
10
11
00
11
00
00
10
00
00
11
00
00
01
10
10
10
00
10
10
11
00
10
01
10
10
10
10
00
10
10
00
00
10
00
10
00
00
10
00
01
00
10
11
00
10
00
00
11
11
00
00
10
00
01
11
11
00
10
00
00
00
10
01
00
01
01
11
10
01
00
11
10
00
00
10
10
00
11
10
00
11
10
01
10
10
00
10
11
01
11
11
10
01
10
10
01
10
11
00
10
10
00
10
01
10
11
00
00
11
00
01
00
00
11
10
01
10
01
01
10
00
00
11
00
00
11
11
10
00
01
11
01
11
00
00
10
10
01
00
10
10
00
10
10
01
00
01
10
11
10
00
11
10
00
01
10
10
00
01
10
11
11
00
01
01
01
10
11
00
00
11
00
01
10
10
00
00
10
00
00
01
10
00
10
01
01
10
00
11
00
01
10
01
00
00
11
10
10
10
00
00
10
00
10
00
10
00
00
00
11
00
01
10
11
01
00
10
10
01
00
00
11
00
00
00
00
11
11
00
00
10
10
10
10
10
11
00
00
00
01
00
00
01
10
00
00
01
10
10
10
11
10
10
10
00
01
11
10
00
01
10
00
00
11
10
00
00
00
00
10
10
00
10
10
00
11
00
10
10
00
11
10
10
00
01
00
00
00
11
00
00
11
01
10
10
11
11
01
11
00
00
10
10
10
01
11
10
00
11
11
01
11
10
00
10
10
11
00
10
00
00
10
10
11
01
11
11
11
01
11
11
10
00
10
00
01
00
00
01
00
10
10
10
00
00
01
00
00
10
00
01
10
01
01
10
10
00
00
11
01
01
11
10
01
00
10
00
11
10
00
10
10
10
10
00
00
00
00
01
10
00
00
00
11
00
01
11
11
01
01
11
00
00
10
10
00
10
11
10
01
01
10
00
10
10
00
00
11
01
01
11
10
11
00
11
00
01
10
10
10
11
10
00
00
10
00
11
01
01
10
11
10
10
10
01
01
10
01
00
11
10
00
11
10
00
00
11
10
11
00
01
10
00
10
10
00
01
10
11
00
00
00
10
10
01
00
10
00
00
11
10
10
00
01
00
00
10
00
10
11
10
11
10
11
00
00
00
10
11
11
00
00
00
00
01
11
10
00
11
11
11
01
01
11
11
10
11
10
00
00
10
11
11
10
01
10
10
10
00
01
00
10
10
00
00
11
01
11
01
11
01
10
11
01
10
01
00
10
10
11
01
11
01
00
01
10
00
00
10
10
11
10
10
00
01
10
01
11
00
10
11
10
01
00
10
11
10
01
10
00
10
10
11
00
10
01
11
11
10
10
00
10
10
00
01
10
11
11
00
10
01
11
00
10
10
11
01
10
11
01
10
10
00
00
01
01
00
01
10
10
00
00
10
11
11
10
01
10
10
01
11
10
11
10
00
01
00
00
11
00
00
10
10
00
01
11
10
00
00
01
10
01
11
00
00
01
01
10
10
10
11
10
10
01
00
00
11
01
00
10
10
10
00
00
00
00
10
00
11
11
10
01
01
11
01
01
00
10
01
01
10
11
01
00
10
10
00
00
10
11
00
10
00
10
10
00
11
11
01
00
01
00
11
10
10
11
00
10
10
00
00
00
01
11
00
01
10
11
10
10
01
11
00
00
10
10
10
00
11
11
01
00
00
11
00
00
10
10
00
01
11
11
01
01
00
01
10
11
00
10
10
00
00
10
11
00
00
01
10
00
11
10
00
00
10
10
00
00
10
11
01
00
11
00
10
00
11
10
01
10
01
00
10
00
00
01
10
10
00
11
01
10
00
00
00
10
01
00
11
00
00
00
00
10
00
10
10
10
01
00
01
10
11
00
11
01
00
00
10
00
01
00
10
01
00
10
10
10
00
00
11
10
00
01
11
00
00
10
11
00
10
11
01
01
01
00
10
00
00
10
00
00
10
10
10
00
10
00
10
10
10
11
00
10
00
10
00
00
01
10
01
00
00
00
10
10
10
11
00
10
10
11
01
01
11
10
10
00
00
00
10
00
00
00
11
10
01
00
01
00
00
11
10
10
10
00
01
01
10
00
10
01
00
10
10
01
11
10
10
00
01
10
10
00
01
10
10
00
00
10
00
10
10
10
01
01
11
10
10
10
01
00
11
01
00
00
11
10
00
00
10
10
01
00
00
10
10
00
10
11
00
11
10
00
00
11
10
00
11
00
01
00
10
11
00
11
11
01
01
00
10
10
00
00
11
11
01
00
10
00
00
00
10
11
01
00
00
01
00
11
00
00
00
11
00
00
11
10
11
10
11
00
10
10
00
11
10
00
01
00
11
11
00
01
10
10
01
10
10
11
10
11
11
01
00
01
10
00
01
00
00
11
10
00
10
10
10
10
00
11
10
10
00
00
10
00
00
00
10
11
10
10
10
01
01
10
00
11
11
00
10
10
00
01
01
00
11
00
00
10
10
10
00
11
11
00
00
11
00
10
01
00
11
00
00
10
10
11
01
00
10
11
00
01
01
11
01
10
00
10
10
00
00
11
11
01
11
01
00
11
00
01
10
10
00
00
00
10
10
10
00
00
00
00
00
10
00
01
10
10
00
00
00
00
10
10
10
10
10
01
10
10
11
10
10
00
10
00
00
11
10
01
00
10
00
10
11
11
01
01
11
10
01
11
01
11
11
00
00
10
10
00
01
10
10
00
00
10
11
00
11
10
01
10
00
10
10
00
01
10
10
10
10
00
01
00
10
00
11
10
10
10
01
00
10
11
10
10
10
00
00
11
11
10
00
11
10
11
00
01
00
00
10
01
00
10
00
10
00
11
10
00
01
11
11
01
00
11
10
00
00
10
10
00
10
10
11
10
00
01
00
11
10
01
01
00
11
10
10
00
10
00
00
10
10
01
00
10
00
10
10
01
10
11
00
00
10
10
10
00
10
10
11
10
00
01
11
11
11
10
10
10
01
00
01
10
10
00
11
10
00
00
10
10
00
00
01
01
11
00
01
10
00
00
10
10
00
01
10
00
10
10
11
00
00
00
10
10
10
00
01
10
11
00
00
10
01
01
10
10
01
00
10
10
10
10
00
00
10
00
00
00
10
10
01
00
00
01
11
01
00
11
10
11
01
01
01
10
11
00
11
11
10
00
00
10
11
00
00
10
00
11
11
10
00
11
10
00
10
00
10
10
00
11
11
10
00
10
01
10
10
00
01
00
00
10
11
00
00
01
10
10
01
00
10
10
01
00
00
10
10
10
01
00
10
00
01
00
01
10
10
11
10
10
00
00
11
10
01
10
10
01
11
10
00
00
10
10
01
01
11
01
10
10
00
00
11
01
11
01
01
11
00
01
10
11
00
00
10
10
00
10
00
01
00
00
10
00
10
00
10
01
10
00
11
00
11
00
01
10
01
01
00
11
10
11
10
10
00
11
10
11
01
11
10
01
00
10
01
00
01
10
10
00
01
11
00
00
10
00
00
11
00
10
11
10
10
00
00
01
10
10
00
10
10
10
01
11
00
00
00
11
00
11
10
11
10
00
10
01
10
10
10
01
01
11
10
10
10
10
00
00
01
00
10
11
10
10
01
11
10
01
00
00
00
00
11
11
11
00
10
11
11
10
00
00
10
11
11
01
00
10
11
10
10
11
10
01
00
00
10
10
00
00
00
11
01
00
00
10
10
11
00
01
11
01
00
00
00
11
10
00
00
00
10
10
11
10
01
00
01
10
00
00
10
11
10
11
00
11
10
11
00
10
10
01
10
11
10
10
10
00
00
10
00
00
00
00
01
10
11
00
10
10
11
11
01
10
10
00
10
00
11
10
00
01
11
00
01
10
11
01
10
10
10
11
01
00
10
10
01
01
11
00
00
00
10
11
10
10
01
10
10
10
00
00
00
00
10
10
10
00
00
00
00
10
00
01
10
11
01
00
10
00
10
10
00
00
10
11
00
11
01
00
11
01
10
00
10
11
11
10
10
00
00
11
00
01
11
01
01
00
10
11
11
00
00
10
10
00
01
00
00
10
10
01
00
00
10
10
11
11
11
00
00
11
01
00
00
11
10
10
01
00
00
00
01
10
00
00
11
11
01
10
00
01
01
11
10
00
11
00
00
11
10
10
10
00
01
10
01
10
00
11
00
00
10
11
10
00
00
11
11
11
00
00
10
11
01
00
00
10
00
10
01
00
10
10
00
01
01
11
11
00
00
11
00
10
01
00
10
11
00
00
10
01
11
10
10
01
01
10
01
11
10
00
00
10
00
00
01
10
11
00
10
00
10
00
01
10
11
10
10
10
10
00
00
11
10
01
00
10
10
00
10
01
10
10
10
00
11
01
11
10
10
01
10
10
10
01
00
10
10
01
11
11
10
01
01
00
10
11
10
00
11
10
01
01
10
00
00
01
10
01
00
11
00
10
00
00
10
00
10
10
01
00
10
11
00
00
11
11
10
10
01
10
10
10
10
01
00
10
10
00
10
11
00
10
10
00
00
01
11
10
01
11
01
10
10
00
00
10
00
10
11
00
11
11
10
10
10
00
00
00
10
01
00
01
01
11
01
10
10
00
10
10
00
10
00
01
10
01
01
11
01
11
10
00
10
11
00
10
00
00
10
11
01
10
11
10
11
10
10
01
01
01
10
10
10
11
10
00
01
10
00
00
10
01
00
00
10
10
00
00
01
10
00
00
00
01
11
00
00
11
00
10
00
00
01
10
10
11
10
10
11
01
00
00
11
11
10
01
01
11
10
00
11
11
00
00
00
10
01
01
10
01
00
00
01
00
10
10
01
00
11
11
11
11
00
00
11
10
01
11
10
01
10
00
00
01
10
10
00
01
10
10
10
10
01
01
10
00
00
10
01
00
01
11
10
00
00
01
10
00
11
10
01
00
01
01
00
11
01
01
10
00
10
10
00
01
00
01
10
11
10
00
10
10
01
00
00
10
11
00
11
00
00
11
10
10
00
10
11
10
01
10
00
01
10
11
11
00
00
11
11
01
10
10
00
01
00
11
10
00
00
00
11
11
00
00
00
11
10
00
00
10
10
01
01
00
01
10
10
00
11
00
11
00
11
10
11
11
10
00
00
00
10
00
00
11
00
11
10
11
00
10
01
01
00
10
00
00
10
00
10
01
00
10
01
10
01
10
00
10
01
00
10
11
01
01
00
10
01
00
11
01
10
11
10
11
00
11
10
00
10
11
10
00
00
00
10
00
10
10
00
00
10
10
11
10
10
10
00
00
11
10
10
00
11
10
10
00
00
00
00
01
10
11
00
00
01
10
00
00
10
01
10
00
01
10
11
11
11
10
10
01
11
01
01
00
00
01
11
10
00
00
11
01
00
11
00
00
10
10
11
00
10
00
01
11
00
00
10
01
00
10
00
10
10
10
10
00
10
00
00
10
11
01
00
01
00
00
11
00
00
10
10
11
00
10
11
00
00
10
01
00
11
00
10
00
11
10
10
10
00
01
10
10
01
00
11
11
10
00
01
00
10
00
00
00
10
10
00
10
10
00
01
01
10
00
01
01
01
10
10
11
00
00
10
00
00
11
01
10
10
11
10
01
10
00
10
10
10
10
01
01
01
00
11
10
10
00
00
00
10
00
10
01
10
11
00
00
11
10
10
00
11
10
10
00
11
11
10
00
10
01
00
10
01
01
10
11
00
01
00
10
00
10
11
10
01
01
11
11
10
00
11
00
01
10
10
01
10
11
00
10
01
00
01
10
00
10
11
01
10
11
01
10
11
11
11
00
10
10
00
00
00
11
10
10
01
10
10
00
10
11
11
00
00
00
00
10
00
00
11
00
00
10
10
10
10
00
11
10
10
01
01
10
00
11
00
11
00
00
10
10
00
00
10
10
00
00
10
11
11
10
01
10
01
00
00
10
11
10
10
00
00
01
10
10
10
11
11
10
00
00
10
00
00
10
11
10
10
11
10
10
00
01
10
00
00
11
00
11
10
11
10
01
01
11
01
00
01
00
00
10
10
10
01
00
10
00
11
10
01
00
11
00
10
00
10
11
11
10
00
01
10
00
10
00
00
00
10
01
10
11
10
11
00
00
11
10
11
01
00
00
11
00
01
00
10
10
00
00
10
01
00
00
10
10
01
00
01
10
11
11
00
01
00
10
10
10
01
11
01
00
10
00
10
10
10
01
00
10
10
10
11
11
10
00
10
11
00
10
11
10
00
10
00
10
00
00
11
10
10
01
00
00
10
00
10
00
00
11
10
10
00
01
11
10
01
01
01
00
00
10
10
00
00
10
11
01
01
01
01
10
10
11
00
10
11
00
00
10
11
00
10
00
00
11
10
00
00
10
11
10
00
10
00
00
11
00
10
01
01
11
11
10
10
11
01
10
10
00
00
11
00
00
10
10
00
10
10
00
00
00
00
11
00
10
00
11
00
11
00
00
11
10
10
00
10
11
01
10
10
10
01
00
10
10
10
10
10
01
00
10
11
11
00
11
01
00
10
10
00
10
10
01
01
01
10
00
10
10
00
00
01
01
01
01
00
10
11
10
11
01
00
10
11
10
01
10
11
00
11
11
00
01
10
10
00
00
11
10
10
00
00
00
00
11
10
01
00
00
01
11
10
01
00
11
00
11
11
01
10
10
01
01
11
01
00
01
00
01
11
10
01
00
10
10
00
01
11
10
01
00
10
00
00
10
10
11
00
01
10
00
10
01
11
10
10
10
01
01
00
10
10
10
10
01
01
10
10
00
00
10
10
01
11
11
11
00
01
10
00
01
10
01
10
10
01
01
01
10
10
01
00
10
00
00
10
11
10
00
11
10
01
00
10
11
01
01
10
00
00
00
00
10
10
00
00
11
01
11
10
00
10
00
00
11
10
01
00
00
10
10
00
00
10
00
01
00
00
10
00
00
11
10
10
01
01
00
10
00
10
00
10
10
10
11
01
10
00
10
10
10
11
01
10
10
00
00
10
01
01
10
10
00
11
11
10
01
00
00
00
00
10
10
11
00
11
10
10
10
01
11
10
00
01
10
11
00
00
10
10
01
10
00
00
00
11
11
10
00
11
01
01
01
10
11
11
10
00
00
10
11
00
00
10
00
01
00
10
10
00
11
01
10
10
11
00
00
00
11
00
10
00
01
00
00
10
11
01
01
11
11
00
10
11
01
10
10
00
01
00
10
10
00
10
10
01
10
00
11
10
10
00
10
00
01
00
00
00
00
10
00
10
11
01
00
11
01
00
01
10
10
10
01
01
00
10
10
10
01
00
01
00
10
11
10
10
00
10
00
00
00
10
10
00
01
00
11
10
10
11
11
10
00
11
10
00
00
10
00
11
01
00
00
10
00
00
00
00
10
10
10
00
01
11
00
10
01
01
10
01
11
11
10
10
01
11
11
00
01
10
10
00
10
00
11
01
01
00
00
00
10
10
11
10
01
11
01
01
00
00
10
01
00
10
11
01
00
00
00
11
10
00
10
00
01
10
00
11
11
00
00
11
01
00
10
10
00
00
10
10
00
01
11
11
00
00
00
10
10
00
10
10
00
00
10
01
10
01
10
00
10
00
00
11
00
10
10
00
00
00
00
10
10
00
11
01
01
10
10
00
00
10
10
00
00
00
00
10
10
10
00
10
10
10
10
00
00
10
01
00
00
11
10
11
01
00
01
11
11
10
00
00
00
01
11
00
00
00
00
10
10
10
10
01
10
10
10
10
01
10
10
01
10
11
10
00
11
11
01
10
00
00
10
10
00
00
11
01
00
00
10
10
10
10
01
11
10
10
00
00
10
11
10
10
10
10
01
10
10
01
00
00
11
10
00
10
00
00
10
00
11
11
00
10
01
10
10
10
00
00
10
01
00
11
00
01
10
10
00
01
01
11
00
00
00
00
11
11
10
01
00
11
11
10
00
10
11
10
10
00
10
00
00
11
01
10
11
10
10
00
00
10
00
10
10
00
00
00
01
10
00
01
10
10
01
00
10
00
00
10
00
00
00
10
11
10
10
10
00
00
01
00
10
00
00
01
01
11
10
10
00
00
00
10
11
00
00
00
10
01
00
11
01
01
00
10
10
01
10
11
10
00
11
10
01
00
10
11
00
10
10
10
00
00
00
00
00
10
00
00
00
11
10
10
11
10
01
10
10
01
00
11
01
10
11
00
01
11
00
00
10
00
00
00
10
10
10
00
11
10
10
00
00
10
10
10
11
10
10
00
01
11
00
00
00
01
10
00
00
00
10
00
10
10
01
11
01
10
00
01
10
01
00
00
11
10
11
11
11
10
10
11
01
00
10
10
11
00
00
00
10
10
00
10
01
01
11
10
11
01
10
00
01
11
10
10
01
10
10
01
01
11
11
01
11
11
10
00
10
10
01
00
01
11
11
10
10
01
10
11
00
00
11
01
10
10
10
00
00
10
00
00
00
10
01
00
00
01
10
11
00
10
10
01
01
00
11
11
11
10
10
11
00
01
11
00
01
01
00
01
11
10
01
01
00
00
01
01
00
11
10
10
11
00
10
00
10
11
10
00
00
00
10
10
11
01
10
10
01
00
00
00
11
10
10
11
00
11
01
00
10
10
01
00
10
10
10
01
00
00
00
00
00
10
10
00
00
11
10
00
00
00
11
10
00
00
00
11
11
00
01
11
10
10
10
00
00
01
10
10
11
00
00
10
00
00
00
11
10
01
01
10
00
00
00
10
00
01
10
01
01
00
01
00
00
11
10
00
01
10
10
00
01
11
10
10
01
01
00
10
01
11
00
00
11
01
11
01
10
11
10
00
00
10
10
00
00
10
00
10
11
00
11
11
00
00
00
10
10
10
00
10
11
01
01
00
11
10
01
10
11
01
00
00
10
10
10
10
01
01
10
11
11
01
10
11
00
11
10
01
11
10
01
10
00
01
01
11
00
00
11
11
10
10
00
01
10
10
00
10
00
00
01
01
00
01
11
10
01
00
10
00
10
00
11
10
01
10
00
10
00
00
01
00
01
10
11
10
11
00
00
10
10
11
10
10
00
00
10
01
01
01
00
01
00
10
00
01
10
10
01
00
10
11
00
00
00
01
11
00
01
10
00
00
00
00
10
11
00
10
11
10
00
00
11
11
00
00
11
10
10
00
00
00
10
10
11
00
11
10
01
00
10
10
00
00
11
01
00
10
01
00
11
10
10
11
00
00
11
01
01
00
00
00
10
01
10
10
00
00
10
10
00
01
00
10
10
00
00
01
11
01
10
10
01
01
00
11
00
01
00
01
11
10
00
11
01
01
10
10
00
00
00
11
00
10
00
00
00
10
10
00
10
10
10
00
00
00
00
10
01
10
10
00
10
01
11
10
00
10
10
00
00
00
10
00
00
11
00
10
01
00
10
10
01
01
10
11
10
10
10
01
00
10
11
00
00
10
00
10
11
00
10
01
11
10
00
10
10
11
00
00
00
11
11
11
10
01
10
11
01
10
10
01
01
10
00
01
11
00
01
10
10
10
00
00
01
01
10
00
11
11
01
01
10
11
00
00
10
01
00
10
10
00
00
01
10
10
00
01
10
10
11
11
10
00
01
10
01
10
00
00
10
11
10
11
00
10
10
10
00
00
10
10
01
10
10
01
10
00
11
10
10
11
11
10
00
10
00
10
10
01
11
10
00
01
10
11
01
10
10
11
00
01
00
11
00
00
10
00
11
10
00
01
10
10
00
10
10
00
01
10
10
01
10
11
10
00
00
11
00
10
10
11
00
11
10
10
10
00
00
10
00
00
10
00
01
00
10
00
00
00
11
01
11
10
01
00
11
11
10
10
00
00
01
00
11
10
01
01
10
10
00
01
10
00
10
00
01
10
10
10
00
10
10
01
01
01
00
10
10
00
00
01
10
10
01
00
11
01
00
10
00
10
10
10
01
00
10
10
10
10
00
01
11
00
11
00
10
01
10
01
01
10
10
00
10
11
10
01
00
01
10
01
10
11
10
10
01
01
00
10
10
00
11
10
00
00
11
01
10
00
01
00
00
10
01
10
11
10
11
00
10
00
11
10
10
10
00
00
10
11
01
11
00
10
10
00
10
10
11
10
10
10
10
00
00
01
01
01
00
11
00
11
10
10
00
00
10
10
00
01
00
00
00
10
01
11
00
10
11
10
00
00
01
01
11
11
00
10
11
00
10
11
00
10
11
00
01
01
00
01
11
10
10
10
01
10
10
00
10
00
01
10
11
10
00
11
01
00
01
11
00
10
00
11
10
01
00
11
10
00
11
01
10
10
10
10
01
10
11
00
11
11
01
00
11
10
01
00
01
01
10
00
00
10
11
00
01
10
10
00
10
00
00
01
10
10
00
01
10
10
11
10
01
00
01
00
01
10
10
10
01
11
00
01
10
00
00
00
10
11
01
10
10
01
10
11
11
00
10
11
10
00
00
10
10
00
00
01
00
10
11
10
00
00
10
11
01
00
10
01
10
00
00
11
00
00
10
00
00
10
00
10
10
10
01
00
10
10
11
00
01
11
10
10
01
10
10
01
00
01
00
01
10
10
00
10
00
11
00
00
10
01
01
00
11
10
10
10
10
00
11
00
00
11
00
10
01
11
01
00
10
00
10
10
10
10
10
11
11
00
01
00
10
00
00
10
10
00
01
10
11
11
00
01
00
11
11
00
01
01
10
10
10
00
10
10
00
00
00
00
01
01
10
10
11
00
10
01
10
11
01
11
00
00
10
01
10
10
11
00
00
10
00
00
10
10
00
10
11
00
01
11
00
00
10
11
01
01
10
00
00
01
10
10
00
10
10
01
11
00
10
00
10
11
10
01
01
11
01
10
11
10
01
01
10
10
01
01
11
10
00
00
10
00
10
11
00
00
00
00
10
10
01
10
10
10
00
11
10
00
10
10
10
00
00
10
10
01
00
00
01
00
01
11
00
10
10
10
10
01
00
01
10
10
00
00
10
10
00
00
10
10
00
11
01
00
01
11
10
10
10
00
10
01
00
10
11
11
01
11
10
00
10
10
11
00
00
11
10
11
00
00
10
01
00
10
11
00
10
11
10
00
10
11
00
00
01
00
00
10
11
00
10
10
01
00
10
11
01
00
11
11
10
00
01
10
00
11
10
01
00
10
11
00
01
01
01
10
01
01
10
10
00
00
10
10
00
10
11
00
10
10
00
00
11
00
01
11
10
10
10
10
11
11
00
11
10
00
01
10
10
00
00
10
01
10
11
01
00
11
01
00
11
11
01
00
10
10
11
10
10
11
01
00
01
00
01
00
11
10
10
11
11
01
01
10
10
01
00
00
01
11
01
00
11
10
10
10
10
00
00
10
00
11
00
01
10
00
10
11
10
00
00
11
10
00
01
10
01
00
11
10
10
11
01
00
10
11
11
11
01
01
00
10
10
00
00
11
10
00
01
10
11
00
11
00
00
11
10
00
00
10
10
10
10
10
11
00
10
00
01
01
11
01
00
10
00
00
01
10
10
00
10
00
00
10
01
00
00
01
10
10
00
00
11
01
11
00
11
10
00
00
10
10
01
00
11
01
01
10
10
00
00
11
10
11
00
11
01
00
00
00
01
01
00
11
10
00
00
10
01
00
11
10
01
11
10
11
00
10
10
11
00
01
00
11
11
00
00
11
10
01
01
10
01
01
00
11
10
01
00
10
11
00
10
10
10
00
11
10
11
00
10
00
11
10
00
00
11
10
00
01
10
10
00
10
11
00
11
10
01
00
11
00
00
00
10
00
00
11
11
00
00
10
11
00
00
10
00
10
10
10
01
00
00
01
10
00
11
11
11
01
00
11
11
00
00
00
11
10
00
00
10
10
10
00
01
10
10
10
01
01
10
10
00
11
00
10
01
00
10
01
10
10
01
00
11
10
10
00
10
10
11
10
00
10
00
11
00
01
10
10
10
10
10
00
10
00
00
10
10
10
10
10
00
10
00
01
11
01
10
10
00
10
11
01
00
10
01
10
10
10
10
01
00
00
00
00
01
00
01
10
11
00
10
10
01
00
00
00
10
10
01
10
10
00
00
10
10
00
00
10
10
10
11
11
01
10
10
00
01
10
11
00
01
01
10
11
11
10
00
00
10
10
11
00
10
00
10
00
01
00
00
00
00
00
01
00
10
00
10
11
10
10
00
01
10
00
01
11
00
00
11
10
00
11
01
00
11
10
10
01
01
00
00
10
11
00
11
00
10
10
01
00
00
11
00
01
10
11
01
10
01
01
00
10
10
00
10
10
00
01
00
10
11
00
11
01
00
11
10
01
01
00
10
01
01
10
10
00
10
11
00
10
01
10
00
00
10
00
10
00
11
00
11
01
00
10
10
11
11
10
00
00
00
00
10
00
10
00
00
10
10
11
11
00
01
10
01
00
00
10
11
00
11
00
10
01
01
01
00
10
00
10
10
01
11
10
00
00
10
01
10
00
11
10
01
00
10
00
00
00
10
00
10
00
11
11
00
10
00
00
00
10
11
00
01
00
11
00
00
11
11
10
00
01
01
10
10
00
11
00
10
00
00
10
10
00
11
10
00
00
00
00
10
01
10
00
11
10
00
11
10
10
00
10
01
01
11
00
00
10
01
11
10
00
00
10
10
01
01
10
11
00
01
11
00
01
10
10
10
11
01
00
10
10
10
00
00
00
00
11
10
10
11
00
11
00
10
10
00
01
10
11
00
00
01
01
11
10
00
00
00
01
10
10
10
10
00
00
10
00
10
01
00
11
00
01
10
10
00
00
10
11
00
00
11
11
01
01
00
10
11
10
01
10
10
01
11
10
01
00
01
11
10
11
10
00
01
10
10
00
11
10
10
00
00
10
10
11
10
10
01
00
10
10
10
10
11
10
00
00
10
01
10
10
00
00
11
01
00
00
10
01
10
00
01
10
01
10
00
11
10
11
00
00
10
00
01
00
00
10
00
11
11
10
00
10
10
01
00
00
10
10
01
10
01
00
00
11
00
00
10
01
01
10
10
10
00
11
00
00
10
00
00
01
10
00
10
10
00
11
10
00
10
00
01
01
11
11
10
00
01
10
11
01
00
11
11
00
11
10
00
11
00
01
00
00
10
10
11
00
00
10
01
10
10
11
10
00
10
10
00
00
00
11
00
10
10
00
11
00
00
10
11
00
10
11
00
10
00
00
10
11
10
01
10
10
10
11
01
10
00
00
00
00
10
10
01
11
01
00
10
10
00
01
10
11
00
10
01
01
00
11
11
01
11
00
00
11
10
10
11
01
00
10
00
00
00
10
11
00
10
10
10
01
00
10
10
10
00
01
11
01
00
11
01
00
11
00
10
10
01
00
11
11
11
00
01
00
10
01
00
10
10
01
00
10
10
01
10
10
10
00
10
10
10
00
01
00
11
01
10
00
10
00
00
00
11
11
01
10
10
00
00
00
00
10
10
10
01
00
01
10
10
01
00
00
00
11
00
00
10
10
10
11
11
10
00
00
10
11
01
01
00
00
01
01
10
10
10
00
10
10
10
10
10
01
11
10
01
10
00
10
10
10
00
00
10
10
01
10
00
00
01
00
00
10
10
10
10
00
01
00
00
00
10
10
10
00
10
00
00
00
11
10
01
11
00
00
10
11
00
01
00
01
10
00
10
10
10
01
10
11
01
00
11
10
10
00
00
00
10
11
00
11
10
00
10
11
10
00
00
11
10
01
10
00
00
00
00
00
00
00
10
00
01
00
00
10
10
10
00
11
00
10
10
00
01
10
11
11
11
00
11
10
10
10
01
10
11
10
00
01
01
01
11
01
10
00
11
10
00
00
10
10
10
00
00
11
10
01
11
11
00
11
01
01
00
00
10
11
00
01
11
00
10
00
00
00
01
00
00
00
10
10
11
01
10
01
00
10
11
00
10
00
00
10
00
00
10
00
11
11
11
00
00
11
10
00
11
10
00
01
01
00
10
00
00
11
10
11
00
10
01
11
10
00
00
11
11
10
00
01
10
11
10
00
11
11
01
10
10
00
10
11
01
01
11
11
11
10
10
10
00
00
01
10
10
00
10
00
00
10
10
10
00
10
10
11
10
11
10
00
00
11
10
00
00
10
01
00
01
10
01
10
11
00
01
01
00
10
11
10
00
10
10
00
10
00
00
00
11
00
00
10
11
10
10
00
00
00
10
00
10
10
01
10
00
00
00
00
00
11
10
10
00
11
11
00
00
10
00
01
00
11
00
01
10
00
01
10
10
01
10
01
00
00
01
10
10
00
10
10
00
01
00
10
11
01
10
00
11
00
00
10
00
10
01
00
01
10
10
01
11
00
10
10
01
00
10
10
10
01
11
01
10
11
00
00
10
00
11
00
01
11
10
10
10
00
01
10
10
01
00
11
11
11
10
00
00
00
11
10
00
00
00
11
00
00
11
00
10
11
11
10
11
00
01
00
01
01
11
00
00
11
11
10
01
11
00
00
11
10
11
00
00
00
00
01
10
10
00
01
01
00
00
11
11
00
10
10
00
01
01
10
00
11
11
00
10
01
00
10
00
00
10
01
01
00
00
10
00
01
10
10
10
01
01
00
00
00
00
10
10
01
00
00
00
10
00
00
11
10
10
01
00
01
11
00
10
10
10
01
00
01
00
00
10
01
10
10
01
10
10
11
11
00
01
10
10
01
11
00
00
10
10
00
01
00
10
01
00
00
10
11
01
00
10
10
10
00
01
11
10
10
00
10
10
10
10
00
10
10
01
01
01
00
10
11
10
00
10
11
01
10
10
00
01
10
11
00
10
10
01
10
00
11
10
10
10
01
10
10
10
10
00
00
00
11
10
10
00
00
10
10
11
00
00
01
10
11
01
00
00
10
00
10
10
00
00
00
00
10
00
10
10
00
10
00
10
10
00
00
01
00
11
00
10
10
11
01
10
01
00
10
01
01
10
01
10
10
00
10
00
00
10
00
00
11
00
00
10
01
00
11
00
01
11
01
10
10
00
00
10
01
01
10
10
10
11
11
01
00
10
11
00
10
00
01
10
01
00
10
11
11
00
01
10
10
11
10
00
00
00
10
10
00
11
00
10
10
00
00
00
10
10
10
00
10
10
10
10
10
00
00
01
00
10
10
01
01
01
00
00
10
00
11
01
10
11
00
11
01
00
10
01
11
01
00
10
11
10
01
11
00
10
00
10
10
00
10
00
10
11
11
11
11
00
11
01
01
11
00
00
11
10
00
01
10
00
10
10
00
00
00
10
00
10
00
00
10
01
10
00
10
10
01
10
10
00
00
10
00
10
01
01
11
10
00
00
00
01
11
10
00
00
01
11
10
11
00
00
00
10
11
00
11
10
01
00
11
10
01
00
00
11
10
01
10
01
00
01
10
00
01
11
00
01
00
10
00
10
10
01
01
10
11
00
10
11
01
01
00
11
10
01
01
10
10
00
00
11
01
01
10
00
11
00
10
10
10
00
00
11
00
10
00
10
01
10
00
01
10
10
11
11
10
10
10
00
00
10
00
01
00
10
10
00
10
00
00
00
00
10
01
10
01
11
10
10
11
00
00
10
10
10
00
00
10
00
00
00
00
10
00
11
00
00
10
10
00
00
10
00
00
00
10
01
00
01
10
10
01
00
00
11
10
01
00
10
10
01
10
01
01
11
01
01
00
00
01
11
01
11
11
00
00
10
10
11
00
01
00
01
11
10
00
00
11
11
01
01
01
10
11
01
10
10
00
00
00
00
10
10
00
10
00
01
10
11
11
00
01
11
11
00
00
01
10
11
01
00
11
10
11
00
10
00
01
00
10
10
10
01
01
10
00
00
10
10
10
00
01
11
11
10
11
01
00
10
00
00
00
01
10
00
01
10
00
11
10
00
11
01
00
00
10
10
11
10
00
01
01
01
11
01
00
00
11
10
10
01
00
01
01
10
00
00
10
01
10
00
11
00
00
10
00
11
00
11
11
10
01
10
11
10
01
00
00
10
10
11
01
00
10
01
01
01
10
00
01
00
01
11
10
10
10
10
10
00
11
01
00
00
01
00
11
00
01
01
10
00
00
11
00
01
10
00
00
10
00
01
11
11
01
00
11
10
10
00
10
10
00
00
10
11
00
00
00
00
00
11
00
11
01
01
00
11
10
11
00
00
01
01
11
10
10
00
11
10
00
00
10
10
00
11
00
00
10
00
10
00
00
00
00
11
00
01
11
10
00
01
00
10
10
10
01
00
11
01
10
01
10
01
00
00
00
10
10
01
01
10
10
10
10
10
10
00
00
00
10
00
11
01
00
01
10
00
10
01
00
11
11
00
10
10
10
01
00
11
10
00
10
01
10
10
01
10
11
00
10
00
01
01
11
11
00
11
00
00
00
10
10
10
10
01
10
01
00
10
11
11
10
00
00
01
00
11
10
01
00
10
11
10
10
00
00
11
10
00
11
10
10
00
10
11
01
10
01
10
10
01
10
01
10
01
00
01
10
10
10
00
01
11
10
01
10
11
01
10
11
00
10
10
10
00
10
01
00
01
00
10
00
10
11
10
10
11
01
01
00
00
11
10
00
01
10
10
01
10
00
00
10
11
00
01
10
10
10
11
00
10
00
00
00
00
10
10
10
10
01
10
10
00
00
11
10
01
01
11
00
01
10
10
10
11
00
11
00
00
00
00
10
10
00
01
10
11
10
10
10
00
11
00
00
10
11
10
10
10
01
01
10
10
11
11
01
00
10
10
10
00
00
11
11
10
11
01
11
10
10
00
00
11
10
01
10
10
00
00
00
11
10
00
10
11
00
10
10
10
00
01
10
00
00
00
11
00
10
10
11
10
01
10
01
11
11
00
10
10
01
10
10
01
00
10
11
00
11
11
10
10
00
00
10
00
00
10
10
10
01
10
10
11
00
00
10
11
00
01
01
11
10
01
00
11
11
01
10
01
11
10
00
10
01
01
00
10
10
00
10
10
10
10
10
10
11
01
10
00
00
00
01
01
11
01
10
10
00
11
01
00
01
10
01
10
11
00
11
10
01
01
10
10
00
00
10
10
11
11
01
00
01
10
11
10
00
11
11
00
00
10
11
10
00
00
11
00
00
01
10
11
00
01
01
10
10
10
01
00
01
10
10
00
00
10
10
11
00
00
10
00
10
10
10
00
10
10
00
10
10
10
11
00
01
01
11
01
00
01
00
01
11
11
01
00
10
11
00
00
00
10
11
00
10
10
01
00
10
00
11
10
00
10
01
00
10
01
10
11
10
10
00
10
11
01
00
10
10
01
01
00
00
10
00
10
10
00
10
11
00
11
10
10
10
00
11
11
00
00
10
10
01
01
11
00
01
10
00
00
00
10
10
11
00
00
00
10
01
01
11
10
11
10
11
00
10
00
10
10
00
01
10
00
00
00
11
10
01
10
10
00
01
10
11
11
10
11
00
10
00
01
10
00
10
00
10
01
01
10
10
01
11
11
00
00
10
10
11
10
10
00
01
10
11
11
00
10
00
01
11
11
01
10
00
00
00
11
10
01
01
10
10
00
00
00
00
10
10
01
01
10
00
10
00
10
00
10
11
10
00
01
10
10
00
10
10
00
00
00
00
10
01
10
11
11
00
10
01
01
01
00
10
00
11
00
00
01
10
10
01
00
10
00
10
10
00
00
10
10
00
00
00
01
11
11
00
01
10
00
11
10
11
10
01
10
00
01
10
11
00
00
10
00
10
01
01
11
00
10
11
00
00
10
00
10
11
01
10
00
00
11
10
01
00
01
00
10
00
10
01
11
11
00
10
10
01
11
00
10
10
10
01
01
01
11
10
00
01
10
10
10
01
01
10
01
00
01
10
11
10
10
01
00
01
00
00
10
10
11
00
10
10
11
10
10
11
00
10
00
01
10
11
00
00
10
10
10
11
11
00
01
10
10
10
10
00
11
00
00
01
00
10
10
10
00
10
11
01
01
00
01
01
10
01
01
11
11
00
00
00
10
10
00
10
01
10
00
01
10
11
10
10
10
10
10
00
00
10
01
11
11
11
00
10
00
11
10
00
00
11
10
11
10
01
11
11
11
00
01
10
10
01
00
11
10
00
11
11
11
00
00
11
00
10
11
01
01
10
10
00
10
10
11
00
00
10
10
00
10
01
00
01
10
00
00
10
00
00
00
10
01
10
00
01
11
00
10
10
00
11
00
00
00
11
00
00
10
00
11
00
10
10
11
00
11
00
00
00
00
10
00
10
10
10
10
11
00
00
00
11
10
11
10
01
00
10
01
01
01
10
10
01
10
10
01
01
10
10
00
01
11
10
10
10
10
10
00
00
10
10
01
10
00
00
10
10
10
11
01
00
00
10
10
10
00
11
00
11
11
10
11
00
10
10
00
01
10
00
00
10
11
10
10
11
00
00
00
00
01
10
10
01
01
10
00
10
11
01
11
11
00
00
01
10
11
01
10
11
01
00
11
01
00
11
10
00
01
00
00
00
00
11
10
01
10
00
00
01
11
01
01
10
00
01
01
00
10
10
10
11
01
10
00
00
00
00
01
11
10
01
11
00
00
01
11
11
10
01
00
10
00
11
10
10
00
00
10
00
00
00
10
11
00
01
10
00
01
10
11
10
10
01
10
00
01
01
00
01
10
01
10
01
00
01
11
10
11
01
10
11
11
00
00
11
10
10
00
11
00
00
00
00
10
01
10
10
10
10
11
10
01
10
11
00
00
00
00
00
10
10
00
01
10
10
00
11
10
01
00
01
00
10
00
11
10
00
10
11
01
01
00
00
00
10
11
10
10
00
10
01
00
00
00
00
11
10
01
10
10
10
10
01
10
11
00
00
00
00
00
10
01
00
11
11
01
10
01
00
00
10
11
00
10
10
00
10
10
11
00
10
10
01
00
10
10
00
00
00
10
01
00
00
10
00
00
11
00
10
10
01
00
01
00
10
00
00
10
10
00
01
00
00
11
10
10
10
10
10
10
10
11
01
00
10
10
00
10
00
00
11
01
00
00
10
01
00
00
11
00
00
11
10
01
00
10
10
00
01
01
10
10
01
10
11
10
10
10
00
01
00
10
00
11
10
01
10
11
11
01
10
00
10
01
01
10
11
10
11
01
01
00
10
10
00
00
10
10
00
10
10
01
10
01
01
11
10
01
01
10
11
10
00
00
11
00
10
00
00
00
00
10
10
00
00
10
11
10
10
00
00
00
00
00
10
10
01
10
00
00
00
01
01
00
10
11
01
00
01
10
01
10
10
00
00
10
10
01
11
00
00
01
01
00
00
10
11
00
10
01
00
00
01
00
10
10
01
10
00
10
00
00
01
10
10
11
11
11
11
00
11
00
01
10
01
00
01
10
10
10
00
00
10
10
01
10
11
10
11
00
01
10
10
00
01
10
10
10
00
11
10
01
00
10
00
00
11
01
00
10
10
10
00
10
10
11
00
01
01
00
00
11
10
01
00
10
00
00
10
10
01
10
00
11
00
00
10
00
10
11
00
01
00
01
00
01
01
10
11
00
11
10
00
10
11
01
01
00
10
10
00
10
00
00
10
00
00
00
11
01
10
00
00
11
10
00
11
00
00
10
00
10
10
11
00
10
01
10
00
01
00
00
01
10
10
10
11
00
01
00
00
10
00
00
11
10
00
00
11
01
10
01
10
10
00
11
10
11
00
10
10
00
01
00
01
11
10
10
10
00
00
10
10
11
11
11
00
01
10
01
00
01
10
10
01
10
10
01
00
10
10
00
10
10
01
11
00
10
01
00
01
00
11
00
10
00
00
00
01
10
11
01
00
11
01
00
10
11
01
11
00
01
00
00
10
10
00
00
11
10
11
10
00
11
00
10
00
00
10
10
00
00
11
10
10
10
10
00
10
10
00
00
01
00
00
01
10
11
00
00
00
10
11
00
10
10
11
00
00
01
10
10
00
00
11
10
00
01
00
00
00
11
11
10
00
00
11
10
01
11
00
00
10
10
01
00
10
01
11
00
11
01
11
11
00
10
00
10
10
11
00
01
10
00
10
00
00
00
00
10
00
10
00
10
10
00
10
00
11
01
10
10
11
11
11
10
01
01
01
10
10
01
00
00
10
00
10
00
01
10
00
11
00
00
00
10
10
11
00
11
10
00
00
00
10
10
11
00
01
00
10
00
10
11
00
11
10
10
10
10
01
11
10
00
00
00
10
00
00
11
10
01
11
01
01
11
10
00
00
10
10
00
01
11
11
10
11
00
10
01
00
10
10
10
00
11
00
01
11
11
10
00
00
10
10
10
01
01
10
01
00
00
11
11
10
10
10
01
01
10
10
00
00
10
00
10
10
00
01
10
00
11
00
10
10
10
10
00
01
11
00
00
00
01
10
01
00
10
01
00
11
11
00
00
10
10
00
00
10
10
00
00
10
01
10
10
00
10
00
10
11
00
00
01
01
00
00
01
10
10
00
11
00
00
00
10
00
00
00
00
00
10
10
10
01
10
10
10
00
00
11
00
01
00
01
11
01
11
11
00
01
00
11
11
00
00
10
01
01
10
10
00
01
10
11
00
00
00
11
10
01
11
10
10
00
11
10
00
01
11
11
10
00
00
10
11
11
10
11
00
00
00
10
10
10
10
00
01
11
10
10
00
00
10
10
10
01
00
00
01
10
11
10
11
11
10
01
00
11
01
10
00
00
10
10
01
10
01
00
10
00
00
11
10
10
00
00
00
00
11
10
11
00
11
10
11
01
01
11
10
10
00
00
10
10
00
10
00
00
00
00
00
10
10
00
10
01
10
11
00
00
10
00
10
10
11
11
00
10
01
10
10
01
10
00
00
11
00
00
11
00
11
10
10
10
00
10
11
10
00
01
01
10
01
10
00
01
01
10
10
01
01
00
00
10
01
01
00
10
11
10
00
00
11
10
01
00
01
10
10
01
11
10
00
10
00
11
00
00
11
11
11
00
00
11
00
00
00
00
10
11
11
10
10
10
00
00
10
10
01
10
10
01
10
11
11
00
00
10
10
01
00
11
00
01
00
00
11
01
10
10
01
10
00
01
01
00
10
10
11
10
00
00
10
11
00
10
00
00
10
11
10
00
11
11
01
10
01
10
10
00
01
00
11
11
00
11
00
11
00
10
11
00
11
10
10
11
00
01
11
10
00
00
10
11
10
00
01
01
01
00
01
10
10
11
10
10
11
00
01
10
00
00
11
00
10
11
00
00
11
10
00
10
10
10
10
01
00
11
00
00
01
01
00
11
01
11
10
00
00
11
10
00
11
11
00
01
11
10
00
11
00
01
00
10
10
00
10
10
01
00
00
11
00
10
11
10
01
00
11
10
10
10
10
10
00
10
10
00
00
10
11
10
11
11
01
00
11
10
11
00
00
01
11
10
01
01
11
00
10
10
00
01
00
11
10
10
11
01
01
10
00
00
10
10
00
00
10
11
00
10
11
00
00
10
10
00
11
10
10
00
00
10
10
10
00
01
11
10
00
10
10
01
10
00
00
00
01
01
10
00
00
11
10
00
00
10
00
01
00
10
10
00
00
01
00
10
11
10
11
10
11
00
00
10
00
11
11
10
01
10
11
00
01
10
00
10
00
00
00
00
10
01
01
10
10
10
00
01
10
00
10
10
00
11
00
00
00
00
11
10
01
11
00
00
00
11
10
11
11
00
10
11
10
01
10
11
00
00
11
10
10
00
10
00
10
10
10
00
00
01
11
11
00
11
10
00
10
11
01
10
11
00
00
10
10
10
11
11
01
00
10
00
00
11
00
10
00
00
11
00
11
11
10
00
11
10
10
00
01
10
11
10
00
00
11
01
10
11
01
10
10
11
01
01
10
10
10
01
00
10
10
10
11
00
10
10
11
10
10
00
10
01
00
01
01
10
01
00
11
00
00
00
10
10
00
00
00
00
10
11
10
00
11
10
00
00
10
11
00
10
00
00
10
01
10
01
00
00
01
10
11
11
00
00
00
01
10
10
10
00
10
10
10
00
10
11
10
00
00
10
00
00
00
10
01
00
01
00
00
00
01
10
10
11
00
11
11
00
01
11
10
10
00
10
10
00
00
11
10
11
00
11
10
10
11
10
01
00
00
00
01
10
10
00
00
10
01
00
10
10
10
00
10
10
11
00
01
00
00
10
10
00
10
11
00
01
10
10
11
00
10
10
00
00
10
10
00
00
00
00
00
11
11
01
01
00
10
00
10
10
00
00
10
00
10
10
10
10
10
01
00
01
10
10
10
11
00
00
01
10
10
00
00
11
10
10
01
10
00
00
11
10
11
00
00
00
11
00
11
00
01
11
10
10
10
10
00
01
10
10
10
00
00
10
01
00
11
10
11
00
10
00
01
00
00
01
10
10
10
00
00
11
00
11
10
01
01
01
00
00
01
11
10
01
11
10
00
00
10
00
01
10
00
00
01
10
10
00
01
11
10
11
10
00
11
10
10
00
00
11
00
00
00
01
10
10
10
01
10
00
10
10
00
01
00
10
10
00
11
10
01
10
01
10
01
11
10
01
00
01
00
01
10
11
01
01
01
10
11
00
11
00
11
00
00
10
10
10
01
00
11
00
10
01
00
10
11
11
00
01
11
10
01
10
11
01
10
01
00
00
10
11
01
10
11
01
11
11
10
01
00
10
10
10
10
00
00
10
00
10
10
00
10
10
10
10
01
00
11
01
10
10
00
11
00
00
10
10
11
00
00
01
00
10
01
01
10
01
00
01
11
10
10
00
00
10
11
10
00
00
10
00
01
10
00
01
01
00
11
01
10
00
10
11
00
11
00
10
11
00
10
10
01
01
11
10
11
10
10
01
11
00
00
01
10
11
10
00
11
10
00
01
11
10
10
00
10
10
11
00
01
00
01
10
10
00
01
11
01
00
10
01
11
11
00
00
00
00
10
10
11
00
00
00
00
10
10
01
10
00
10
11
11
00
00
00
01
11
11
00
01
01
01
11
11
10
00
00
00
10
11
00
00
00
11
10
10
01
10
10
00
10
00
00
01
01
10
10
11
00
01
01
00
11
10
00
00
01
10
11
00
01
01
10
00
00
11
10
01
10
01
00
10
10
10
10
00
00
10
10
10
00
11
00
11
10
10
11
00
00
10
10
00
11
10
10
01
10
00
00
00
01
00
10
11
10
11
00
10
00
00
00
10
01
01
00
10
00
10
00
10
00
10
11
01
00
00
10
00
01
01
11
11
10
00
01
10
10
00
01
10
10
00
00
01
10
00
10
10
00
11
10
10
11
00
11
00
01
01
00
11
01
10
10
11
11
11
10
00
10
10
01
00
11
11
01
00
00
11
10
10
10
01
00
10
00
10
10
00
00
11
00
00
11
10
00
01
01
00
00
00
10
10
11
11
00
00
11
00
00
11
10
01
00
00
10
00
00
10
01
00
10
00
00
10
00
00
00
11
10
01
00
01
10
10
00
10
00
01
00
11
00
00
10
00
00
11
11
00
10
00
10
01
11
10
00
10
10
11
00
00
10
10
10
00
00
01
00
01
00
10
11
11
01
00
00
10
10
00
00
11
10
01
10
01
01
00
00
10
00
00
11
00
01
10
11
00
00
00
01
00
11
11
01
11
10
00
10
00
01
01
10
10
00
01
00
01
10
11
00
00
00
01
10
00
11
10
10
10
11
00
01
01
10
01
11
00
00
10
11
01
00
11
01
01
00
11
00
10
10
00
01
11
10
01
10
01
01
10
00
11
00
10
00
00
11
10
11
00
01
11
11
10
01
10
10
10
10
00
10
10
00
00
01
01
10
00
00
00
10
01
11
01
10
10
10
10
10
01
00
10
10
00
10
11
11
01
01
00
10
11
11
10
01
10
10
00
11
10
11
11
00
10
00
01
00
10
00
00
10
10
00
10
11
00
01
10
01
00
10
10
10
01
00
01
10
00
00
11
10
10
10
00
10
01
00
10
10
00
01
00
10
00
10
11
00
10
10
11
10
10
11
10
00
00
00
10
10
10
00
10
10
11
00
00
01
10
10
00
10
00
00
11
10
10
00
10
10
00
11
00
01
00
01
10
11
10
00
00
10
11
00
10
11
10
00
11
10
00
00
11
10
11
11
01
01
01
00
00
00
10
10
00
10
10
10
00
10
00
00
01
00
10
10
01
11
11
11
00
00
10
10
01
00
11
10
00
01
10
01
01
11
10
10
00
11
00
00
11
10
01
00
10
11
11
01
01
10
01
01
11
11
00
10
00
01
10
10
00
00
00
00
01
10
00
01
10
11
10
10
10
00
10
00
10
10
10
10
00
10
11
00
01
00
10
00
10
10
00
01
00
10
10
01
10
01
11
00
10
10
00
00
00
10
11
10
01
01
11
10
00
00
10
10
00
11
01
11
00
00
10
00
00
11
11
10
01
10
11
01
10
00
00
10
01
10
01
10
10
00
10
10
00
10
10
10
01
10
10
00
00
10
00
10
10
00
10
10
01
00
01
10
01
10
11
10
00
01
10
00
00
10
00
10
10
10
01
10
00
11
11
11
01
00
01
01
11
11
11
00
00
10
11
00
00
10
10
11
00
11
10
11
01
00
10
11
10
00
01
10
00
11
11
00
11
00
10
10
01
01
01
01
10
11
10
11
00
01
10
10
00
11
10
00
10
10
00
00
11
00
01
00
10
11
00
10
00
10
10
11
11
00
01
10
10
11
10
01
11
01
01
11
11
00
11
10
10
00
01
10
01
10
10
01
00
00
10
11
00
10
10
10
11
10
10
01
10
00
00
10
00
00
01
00
10
10
10
01
00
10
10
00
00
10
00
10
01
11
10
01
10
00
10
10
10
10
10
11
00
11
01
10
01
01
10
01
10
00
11
11
00
10
10
01
11
01
01
11
10
00
01
10
11
10
11
00
00
00
11
10
00
01
11
10
01
10
00
01
11
00
00
10
11
11
01
10
00
10
11
00
00
00
10
00
00
00
10
00
01
00
11
10
01
00
00
11
00
01
11
00
00
01
10
11
11
10
10
11
00
00
00
11
10
10
10
00
11
01
10
10
01
10
10
00
11
00
00
10
10
11
00
01
00
10
11
00
01
10
10
00
01
00
11
00
10
10
10
11
00
00
10
01
11
11
10
10
00
00
10
01
11
01
00
11
10
11
10
01
01
00
10
10
00
01
00
00
11
00
10
11
10
11
00
00
00
00
11
10
10
00
11
10
10
10
10
00
00
11
11
10
10
10
00
00
00
01
10
10
01
00
00
01
00
10
10
01
00
01
11
01
01
00
01
11
10
00
11
11
00
10
10
10
00
10
00
00
11
00
01
10
10
10
11
10
11
00
10
00
10
00
01
11
10
10
00
00
11
10
01
00
01
11
00
00
10
00
10
10
11
00
01
01
11
11
01
00
11
00
10
00
00
11
11
00
10
01
10
00
11
11
11
10
10
00
10
11
10
00
10
10
10
00
10
10
10
00
01
00
00
01
11
10
11
01
11
10
11
10
01
11
01
00
10
10
01
11
10
10
00
00
10
00
00
00
10
01
00
01
10
10
01
10
00
00
00
11
10
11
01
00
10
00
00
11
10
00
00
01
11
10
10
00
00
01
00
11
10
10
01
00
10
10
11
01
01
10
00
11
10
01
10
10
00
00
00
10
11
00
00
10
10
11
10
00
01
00
00
10
10
10
00
11
00
00
00
11
11
10
01
00
00
01
00
10
00
01
10
01
00
11
01
00
10
10
01
00
00
11
00
00
00
00
10
00
10
11
10
01
10
01
11
01
00
10
11
00
00
10
00
00
00
10
10
01
01
10
11
00
10
10
00
00
00
10
10
11
11
01
10
01
00
01
00
00
00
10
11
10
10
00
11
10
01
00
11
10
01
00
10
01
01
00
00
00
00
00
11
11
11
00
00
10
10
00
10
10
01
11
10
10
11
00
10
01
00
01
10
10
11
11
10
01
10
00
11
00
11
10
10
00
00
10
01
11
10
00
10
11
00
01
11
00
00
11
10
11
00
00
01
00
00
10
01
01
01
10
10
00
01
10
11
00
00
10
00
00
01
10
11
10
10
10
00
11
10
01
01
00
11
00
10
10
11
00
00
10
11
10
00
10
00
00
01
00
11
00
10
10
00
11
10
01
01
00
01
00
01
10
00
00
00
11
10
00
00
01
11
01
11
01
00
10
10
00
10
10
00
00
10
00
10
10
01
10
10
10
00
10
11
10
11
00
10
01
01
11
10
01
10
00
01
01
10
00
11
10
10
00
00
10
10
00
11
11
01
00
01
00
01
10
11
11
10
01
01
00
00
01
10
10
11
00
00
10
10
01
00
10
10
11
00
00
00
11
00
00
00
10
00
00
00
00
00
01
11
01
11
00
00
00
10
10
10
00
00
01
11
10
11
00
11
10
00
00
00
11
11
10
00
11
00
00
10
01
00
00
00
11
10
10
01
00
01
00
00
10
11
00
00
10
10
10
00
10
11
11
00
00
11
00
00
11
00
01
11
11
10
00
11
11
10
01
00
10
10
00
10
00
01
10
00
00
10
11
01
00
00
10
11
10
00
00
10
11
10
10
00
01
01
11
10
00
10
00
10
11
01
10
00
01
00
00
11
01
00
10
11
01
00
00
11
10
01
00
00
10
00
00
10
11
00
10
00
10
11
10
11
00
11
10
00
00
10
10
00
11
11
11
10
11
10
10
10
00
00
10
10
00
10
11
11
00
10
11
01
11
00
01
11
00
01
10
10
01
10
00
00
10
00
00
00
11
11
00
00
00
10
11
00
00
11
10
00
00
00
00
00
01
00
00
11
10
10
00
00
11
10
01
00
10
11
10
11
10
00
00
01
01
11
10
00
01
10
01
00
10
10
00
01
01
00
10
10
00
10
10
10
00
01
11
10
00
10
01
00
10
00
10
00
10
01
00
10
10
00
10
10
01
00
01
00
11
10
00
11
10
10
00
01
10
00
01
00
00
10
10
00
10
10
11
10
00
01
11
00
00
00
11
00
00
10
00
01
00
00
00
11
10
11
00
01
10
11
11
10
01
11
10
00
10
11
10
00
00
11
11
00
00
01
00
10
11
10
11
01
01
00
00
00
10
10
10
00
01
11
10
10
00
10
00
10
11
11
00
10
11
00
01
10
10
10
10
01
10
10
00
01
11
10
10
10
00
10
01
01
10
11
10
00
00
10
00
01
00
10
00
01
11
01
10
11
10
00
00
00
01
10
11
01
00
10
00
10
10
00
00
00
00
00
00
10
10
10
10
00
00
10
00
10
10
00
10
10
00
10
00
11
10
10
00
00
10
01
10
00
00
10
10
00
01
10
10
00
10
10
00
00
01
00
11
10
00
10
10
00
01
10
10
11
01
10
10
10
00
00
10
00
00
10
00
11
10
10
11
00
01
11
10
11
01
00
01
00
11
01
10
11
00
10
11
01
01
01
00
10
00
00
11
10
00
01
10
11
11
10
10
01
01
10
10
00
01
10
10
00
11
11
01
00
01
00
10
01
00
00
11
10
00
11
10
01
00
10
00
10
11
01
00
10
00
11
11
10
10
00
00
10
00
00
11
11
00
11
00
00
00
00
10
10
00
00
00
01
10
10
00
10
00
00
10
10
00
00
00
10
10
11
00
01
01
00
11
10
11
01
00
00
11
10
00
11
10
00
00
11
10
00
10
00
01
01
10
11
00
00
10
00
10
10
00
00
00
11
10
00
10
00
00
00
10
00
01
10
00
11
10
01
11
01
01
10
11
00
00
01
10
11
11
11
01
11
10
01
11
11
10
00
00
01
10
11
10
01
00
10
11
10
01
11
00
00
00
10
10
11
00
01
00
10
10
01
11
01
00
10
00
10
00
11
11
01
11
11
10
00
00
11
10
11
00
00
10
01
01
00
10
01
00
10
01
10
00
01
10
00
00
00
10
00
00
01
11
00
11
01
11
10
00
10
01
10
11
00
11
00
00
10
11
00
01
10
10
10
00
00
01
00
10
00
01
11
10
00
10
10
01
10
10
00
10
10
00
00
10
10
00
10
00
00
00
00
10
11
00
00
10
01
10
10
00
01
10
10
10
00
00
10
10
11
01
01
10
10
10
10
00
10
10
00
00
10
10
10
00
10
10
00
01
10
11
10
00
10
10
01
01
10
01
00
00
11
00
01
10
10
10
00
00
10
10
00
00
10
10
11
00
01
01
00
00
10
01
00
00
11
11
00
00
10
00
10
01
00
01
00
01
10
00
00
01
10
10
00
01
00
00
11
10
00
01
11
10
10
00
00
01
00
01
10
00
00
00
11
00
00
10
11
01
11
01
00
10
01
00
00
10
10
10
00
00
11
10
11
00
10
00
01
00
10
00
01
00
10
10
10
11
10
00
00
10
00
00
00
10
00
00
10
10
10
11
01
11
10
00
01
00
01
11
11
00
00
11
11
00
00
10
11
00
10
00
00
00
10
00
10
01
10
00
00
10
01
01
01
01
11
11
10
00
00
10
11
10
00
00
10
11
00
00
10
10
00
00
11
11
10
00
11
00
10
00
00
00
10
00
10
10
00
10
00
01
00
01
00
00
10
11
11
01
11
11
00
10
01
11
10
11
10
00
00
00
00
11
10
00
10
11
10
01
01
10
00
00
10
00
01
11
01
01
00
10
11
00
11
00
00
10
00
11
10
10
00
11
10
00
01
10
01
00
01
10
01
11
11
00
10
10
00
10
10
00
00
10
10
10
01
10
00
00
10
00
00
10
11
10
11
10
01
10
11
00
10
00
00
01
10
00
01
00
10
01
11
11
00
01
10
11
00
01
11
10
00
11
01
10
10
10
10
00
10
00
00
00
11
10
10
01
00
00
01
00
10
01
10
00
10
10
00
00
10
10
00
11
10
11
00
11
10
10
10
11
10
01
01
00
11
10
01
00
11
10
01
00
10
11
00
01
11
00
01
10
11
00
10
11
11
10
10
00
00
00
00
11
00
01
01
00
00
10
11
00
00
10
10
10
00
01
10
10
00
10
01
00
00
10
10
00
00
11
10
10
01
00
10
01
01
10
00
00
00
00
00
10
10
00
00
01
00
10
10
00
00
00
11
00
00
10
10
00
00
11
10
10
01
10
11
01
10
10
00
11
00
01
00
10
10
00
01
10
11
01
10
00
10
11
10
10
01
11
00
01
10
01
00
00
10
00
00
10
11
00
01
10
10
01
01
10
00
10
10
10
01
11
00
00
00
00
11
00
10
00
10
00
01
00
01
10
00
10
00
01
00
10
11
00
01
10
11
10
10
00
00
10
11
00
10
00
11
10
00
00
11
10
01
00
00
11
10
11
10
00
01
10
01
00
10
11
10
01
11
00
00
11
10
11
10
10
11
01
11
01
10
01
00
10
10
00
00
10
10
01
10
10
10
10
10
11
10
00
00
11
10
10
10
00
01
01
00
01
01
10
10
10
11
00
00
10
10
00
01
10
00
10
00
00
00
11
10
10
11
00
00
10
10
11
00
10
00
10
11
00
01
00
01
00
10
10
01
00
11
01
10
01
01
00
10
10
01
00
11
10
10
10
10
10
10
01
01
00
11
10
11
10
10
01
11
10
01
01
01
00
11
10
11
00
00
10
10
10
00
11
10
00
11
10
10
01
00
00
10
11
01
00
10
10
00
10
10
00
01
00
10
10
10
10
01
10
10
00
01
10
10
00
00
01
01
01
00
01
00
11
11
10
00
01
11
00
10
10
11
00
10
11
01
10
10
01
11
01
11
10
01
00
00
00
00
11
10
10
01
00
10
10
00
00
11
00
00
10
01
00
11
01
10
10
10
01
10
11
10
01
00
10
11
10
10
00
01
10
00
01
00
10
10
11
00
11
00
01
01
11
01
01
11
10
01
01
10
10
01
00
10
00
00
11
11
00
11
10
10
00
00
10
01
01
10
01
01
00
00
11
01
10
10
00
01
00
10
10
11
11
01
10
10
10
00
10
11
11
01
10
00
00
00
11
00
10
11
00
10
01
10
10
00
01
01
00
01
10
11
01
10
01
10
00
00
11
11
00
01
00
01
10
10
10
01
00
10
10
01
01
10
10
00
10
01
01
11
10
11
01
00
01
00
01
10
01
10
10
10
10
10
00
10
10
10
00
01
11
00
10
00
00
00
10
10
01
11
00
10
10
00
10
10
00
10
00
10
00
11
10
00
11
00
01
01
10
10
00
00
11
10
00
00
00
00
11
00
11
11
00
10
10
00
00
00
10
10
00
10
10
00
11
10
00
00
00
10
01
00
10
10
10
10
10
00
01
10
11
00
11
10
10
11
00
11
10
00
00
11
01
00
10
10
00
00
10
10
01
00
00
00
11
01
00
01
11
10
11
00
00
11
10
10
11
01
01
00
01
00
00
10
11
01
00
10
11
10
10
10
10
10
11
10
00
00
00
00
01
00
01
00
10
00
00
00
01
00
00
11
11
11
00
00
10
10
10
10
00
00
00
10
10
01
10
10
00
00
00
10
00
11
10
00
10
10
00
00
11
00
10
10
00
11
01
10
00
00
01
10
10
00
10
10
01
10
10
10
00
00
10
01
00
10
10
11
00
10
10
01
10
10
00
00
11
00
00
11
10
10
00
00
10
11
01
01
00
10
11
01
11
10
00
11
00
00
11
10
00
00
00
10
11
00
11
10
00
01
11
00
00
01
10
11
01
01
00
00
01
11
00
01
10
01
01
00
11
11
10
01
00
10
10
01
01
00
00
00
10
00
11
11
00
00
10
11
10
10
00
00
10
10
01
10
10
00
01
11
10
10
10
00
10
10
10
01
11
00
10
11
00
10
00
01
10
00
10
11
00
11
00
00
10
00
11
10
00
10
10
00
01
00
00
01
10
10
10
01
00
11
10
00
10
10
00
01
10
11
10
10
00
00
10
00
00
11
00
10
01
10
00
00
11
11
10
01
00
10
00
10
01
11
00
00
10
01
11
00
00
00
10
00
00
10
00
11
00
11
01
10
11
10
00
11
01
11
11
11
10
10
00
01
01
10
00
00
10
01
01
00
10
00
00
00
10
10
00
10
00
00
11
00
00
11
10
10
11
00
10
10
11
10
00
00
01
00
10
11
11
10
01
01
00
01
11
10
00
00
11
00
00
10
01
00
00
10
11
01
00
01
10
10
01
10
10
00
11
00
10
11
00
10
00
11
10
10
11
10
00
11
10
00
10
00
10
11
00
00
01
01
10
00
00
10
10
10
00
10
10
00
00
01
11
00
10
10
11
00
10
11
10
00
10
01
00
11
10
00
10
10
01
10
00
00
11
10
00
01
11
01
10
01
01
01
00
10
11
01
01
10
11
00
00
01
10
00
00
00
11
00
00
10
00
00
10
10
01
10
10
11
10
01
11
11
00
10
01
00
11
10
01
00
11
00
10
10
00
00
10
00
11
10
01
10
10
11
10
00
10
10
01
11
10
00
00
00
10
00
10
10
01
01
01
10
10
00
10
10
01
00
10
01
00
00
10
00
00
10
10
00
00
00
00
10
10
01
00
10
10
00
10
11
00
10
11
00
11
00
00
10
00
00
01
10
10
11
10
10
10
01
01
00
10
10
00
10
01
01
00
11
11
11
00
01
10
11
10
00
11
10
00
01
00
10
10
00
00
00
10
00
11
11
11
10
11
11
10
00
00
11
11
11
10
00
01
00
10
10
10
00
00
00
00
01
11
11
11
10
01
10
00
11
00
00
00
00
11
01
10
01
11
00
00
01
10
10
01
11
01
10
00
01
00
00
11
10
01
10
10
11
10
11
00
10
00
10
10
10
01
00
10
10
00
01
10
00
10
00
01
00
00
10
00
00
00
00
01
10
10
00
01
01
10
01
00
00
01
00
10
00
00
11
00
01
00
10
11
00
11
00
10
10
10
00
11
00
00
01
00
00
00
10
10
10
00
00
10
10
01
00
10
11
00
00
01
00
11
00
00
10
01
00
00
11
10
01
10
00
00
10
10
10
11
00
00
00
00
01
10
00
11
11
10
11
00
00
10
10
00
10
00
10
11
01
00
00
00
10
01
00
01
11
01
00
10
00
10
10
10
00
00
10
01
00
01
00
00
10
10
01
10
10
00
01
10
00
00
11
10
01
10
10
10
10
10
00
10
00
00
11
00
11
01
00
00
00
10
00
00
11
10
10
01
00
10
10
01
01
10
10
10
10
11
01
00
11
10
10
00
10
11
01
00
00
10
11
00
00
11
10
00
00
00
10
01
01
10
11
10
00
10
01
00
01
10
10
10
01
00
00
00
10
10
00
01
10
01
10
10
10
00
10
01
00
11
10
11
00
00
00
10
01
00
00
11
11
10
00
11
01
10
10
00
00
00
10
10
11
10
10
10
01
10
10
00
01
01
10
10
00
00
00
10
10
10
00
11
01
10
00
10
00
10
00
00
10
10
11
10
00
10
01
00
00
10
11
10
00
10
10
00
10
11
01
01
00
11
10
10
11
01
00
10
00
10
10
00
00
10
00
11
00
10
10
10
00
11
10
10
10
01
10
01
00
10
10
10
10
10
01
01
10
00
10
11
11
10
00
00
11
10
00
01
00
10
10
01
11
00
01
11
10
00
10
01
11
10
01
00
01
11
10
00
10
00
00
11
10
00
11
10
11
00
01
01
10
00
10
01
00
11
11
00
10
10
00
11
01
00
10
00
10
11
00
01
01
10
10
00
10
00
00
00
10
00
00
00
10
00
10
00
01
10
11
00
11
11
10
11
01
00
10
10
00
10
01
00
11
01
01
00
01
00
00
10
10
10
11
10
00
00
10
10
10
00
11
11
01
01
01
10
00
00
10
01
10
11
00
11
10
00
01
11
00
00
11
11
00
00
11
10
00
01
01
00
01
00
10
10
10
01
11
10
01
11
10
11
00
01
00
10
10
10
01
01
11
00
11
10
10
10
11
00
01
11
10
00
11
10
00
00
10
01
11
00
00
11
10
10
11
10
00
01
10
00
00
01
11
11
00
00
10
10
01
00
10
11
11
10
00
00
01
10
00
00
11
00
10
00
10
10
01
01
10
00
11
01
00
10
10
11
00
10
11
10
11
00
11
11
00
00
00
00
10
11
00
01
10
01
10
00
10
10
00
00
10
11
10
11
00
11
10
10
00
00
01
11
00
01
00
00
11
01
01
00
10
10
10
10
01
00
10
10
00
00
11
10
00
11
10
10
00
00
10
00
10
10
11
00
10
00
10
11
00
00
11
10
00
11
11
10
01
01
10
11
00
00
01
00
11
10
10
00
00
10
10
00
00
11
10
01
11
10
11
01
00
10
10
00
00
11
10
11
00
01
10
00
00
10
10
00
11
10
00
01
11
10
00
00
10
00
00
00
00
11
10
10
10
11
10
01
00
00
10
10
00
01
00
11
11
10
10
10
01
00
00
10
01
01
00
10
01
10
10
10
00
00
10
00
10
00
11
00
10
10
10
00
10
10
10
11
10
00
10
00
00
00
01
11
10
00
00
10
10
01
10
01
00
10
10
00
00
10
01
00
11
00
10
11
10
01
01
10
11
01
00
00
10
10
11
00
00
10
01
00
10
11
00
00
10
10
10
01
10
11
01
00
10
00
10
00
00
11
01
11
01
11
10
01
01
00
11
11
00
00
01
00
01
10
10
00
01
10
00
00
11
00
00
00
11
11
00
10
00
10
00
10
10
00
00
00
10
11
01
00
00
00
01
10
11
10
00
10
01
10
10
00
00
00
10
01
00
11
10
00
00
11
00
00
01
10
10
11
00
00
01
00
01
00
11
00
10
10
10
01
01
10
11
10
11
10
11
00
00
01
11
10
01
00
10
11
10
10
11
10
01
10
10
01
01
11
01
01
10
10
11
00
00
11
11
00
00
00
10
00
00
01
10
10
00
10
10
01
10
11
10
11
00
01
11
01
10
10
00
00
00
11
01
01
00
00
10
10
00
01
10
10
00
10
01
10
10
11
00
10
10
00
10
01
00
11
00
01
10
00
10
10
00
00
11
10
01
00
00
10
00
10
10
00
00
00
00
10
01
11
10
00
11
10
00
10
11
10
00
00
11
01
01
00
10
00
01
00
00
00
10
11
01
11
11
10
00
01
11
10
00
10
10
11
10
00
01
10
00
00
10
01
10
10
10
10
00
00
11
00
10
11
01
11
11
01
01
10
10
10
00
01
00
00
10
11
00
00
11
10
01
00
00
10
00
11
00
10
01
01
10
00
01
10
00
11
10
00
10
11
00
10
00
11
00
00
11
11
00
10
10
10
10
00
00
11
10
01
01
00
00
00
10
10
00
00
00
10
10
10
00
00
01
00
01
11
00
00
01
00
00
00
10
00
00
11
00
11
00
10
00
10
10
01
01
01
10
11
00
10
00
00
10
10
00
00
01
00
11
10
10
00
10
00
01
10
10
10
00
11
10
00
10
11
00
11
00
11
00
01
10
10
10
00
00
11
00
01
10
10
00
01
10
10
10
01
00
10
10
11
10
01
10
00
10
11
00
01
10
10
00
10
11
01
10
10
10
00
00
00
10
11
00
11
00
11
00
01
11
10
10
00
00
10
10
11
00
00
10
10
10
10
00
10
10
10
00
10
10
01
00
00
01
10
10
00
01
00
01
10
01
00
00
11
10
01
00
10
11
00
00
10
11
00
11
01
00
01
11
10
00
00
10
10
11
00
01
10
10
00
00
01
00
01
10
10
00
10
10
10
00
01
10
11
00
10
00
01
10
01
11
00
00
11
11
10
10
00
00
00
11
11
00
00
10
00
10
00
11
10
00
11
11
11
11
01
00
11
10
01
00
10
11
10
00
10
10
00
10
00
00
00
01
00
11
01
01
10
10
10
11
10
00
10
11
10
10
01
00
11
10
10
10
11
00
00
11
11
00
10
00
01
01
10
10
10
10
10
00
00
01
10
10
01
00
11
10
00
10
00
10
01
10
01
10
11
00
10
01
00
10
10
10
10
01
00
10
01
11
10
00
10
10
00
01
10
10
10
01
10
11
00
00
01
10
01
00
10
11
10
01
00
11
10
01
00
10
11
01
00
11
01
00
00
10
10
01
10
10
00
01
00
10
01
00
00
10
00
00
11
00
10
01
00
00
11
01
00
00
01
11
00
01
10
00
00
00
00
10
10
11
00
10
01
00
00
10
10
00
00
10
10
00
01
10
00
00
11
01
00
00
00
00
10
10
00
11
10
01
01
11
10
11
00
11
10
00
00
10
10
10
10
00
10
10
01
00
01
00
00
10
10
11
00
10
00
00
10
10
00
00
00
10
01
00
10
11
00
11
10
01
01
10
10
00
00
10
11
01
10
11
10
11
11
10
00
00
01
10
10
01
00
00
11
10
10
00
10
11
01
01
00
00
10
10
10
01
00
10
11
11
10
00
10
11
11
00
01
01
10
01
00
11
10
00
00
10
01
11
01
11
10
10
10
00
00
01
11
00
11
01
10
10
00
00
11
00
01
01
10
10
01
00
10
00
01
00
00
00
11
00
01
10
11
10
00
00
10
10
00
10
10
10
10
00
00
00
10
11
10
00
00
10
10
00
10
11
10
00
10
10
11
10
00
00
10
11
01
00
10
10
00
00
00
00
10
00
01
10
00
10
10
10
10
10
10
10
00
00
11
10
01
10
10
10
01
01
00
01
10
10
00
01
10
00
10
10
11
10
00
00
00
11
01
10
11
00
00
00
10
10
00
00
10
11
01
10
10
11
00
10
00
00
10
11
11
00
11
11
11
10
01
10
10
11
00
00
11
10
00
01
00
00
11
00
10
11
10
11
10
11
00
00
00
01
11
01
10
11
00
01
00
00
10
10
00
01
01
10
01
11
10
00
10
01
00
00
10
10
10
10
00
00
10
10
10
00
10
10
10
11
01
11
01
10
00
00
10
01
10
11
00
00
10
11
11
11
10
01
10
10
00
10
00
00
11
10
11
10
11
10
10
11
10
11
00
10
00
01
01
11
00
00
10
11
10
10
01
00
10
10
00
10
11
00
00
00
01
00
10
01
10
11
01
01
11
01
00
10
10
00
10
11
00
00
01
11
10
00
01
00
10
10
10
10
10
00
00
10
11
10
10
10
10
01
10
10
01
00
10
10
00
11
01
01
01
10
10
00
01
10
00
01
10
00
10
11
01
01
11
11
11
11
00
00
11
10
00
01
00
11
11
10
10
00
01
00
00
10
11
10
10
01
00
01
10
10
00
00
01
00
10
10
11
10
10
00
00
11
11
11
10
00
00
10
10
10
11
00
00
11
10
00
11
00
01
10
10
01
01
11
11
11
10
00
10
00
00
10
11
00
10
00
00
01
11
11
00
11
10
10
01
00
00
11
00
00
01
00
10
10
01
11
10
01
00
00
10
01
11
01
10
00
10
00
10
10
10
10
10
00
00
10
10
00
01
00
11
00
00
10
00
00
11
10
10
10
00
10
00
00
11
01
00
10
00
00
00
10
10
00
10
01
00
01
11
10
10
11
11
11
00
01
10
00
11
10
10
00
01
11
10
00
00
10
10
00
01
10
11
11
10
10
00
00
10
00
01
10
00
10
10
10
10
00
01
01
01
11
00
10
00
00
10
00
01
10
11
11
00
11
11
11
11
11
11
11
01
00
01
10
11
10
01
00
11
00
10
00
10
00
00
11
10
10
00
00
00
00
11
10
10
00
00
00
01
10
10
10
10
11
00
10
10
00
01
00
00
10
11
11
01
01
00
00
11
10
00
10
10
00
11
10
01
11
11
01
00
11
01
10
11
10
10
00
00
00
01
10
10
11
00
11
00
10
11
00
10
10
00
00
01
10
10
00
01
00
00
10
10
00
01
11
11
00
00
10
11
10
10
00
00
11
00
01
01
00
11
11
00
10
10
01
01
01
10
10
00
00
00
01
00
10
00
10
00
01
00
00
00
01
01
00
10
01
11
10
11
10
10
10
10
00
11
10
00
10
01
01
10
00
01
01
11
00
11
10
10
00
01
10
10
00
00
11
00
01
00
00
10
00
10
10
00
11
01
01
00
11
11
01
11
10
00
00
10
00
00
10
11
10
00
10
11
01
10
10
01
00
00
00
10
10
00
11
00
11
11
00
11
10
10
00
10
10
00
10
10
00
00
00
10
10
10
10
01
10
11
11
10
01
01
10
11
11
11
10
00
00
00
00
10
00
01
10
01
10
01
10
00
01
00
00
11
01
00
00
00
01
01
10
10
10
00
11
11
10
00
00
11
11
01
00
10
00
00
10
10
10
00
00
00
11
10
00
00
10
00
10
11
00
01
10
10
00
00
00
00
11
10
11
01
10
00
01
01
11
10
00
11
00
11
01
00
10
10
10
00
00
11
10
10
01
10
01
00
00
00
10
00
01
11
00
01
10
00
11
00
01
00
00
01
10
01
01
10
10
10
10
00
11
10
00
11
11
10
10
11
11
00
10
00
01
10
10
10
01
00
10
00
10
10
00
00
00
11
01
00
00
00
10
00
10
11
10
00
10
11
00
00
10
01
01
10
10
10
00
11
01
00
11
01
00
10
00
01
11
11
01
10
11
10
00
10
10
01
01
00
10
01
10
10
10
10
00
01
10
10
00
00
00
10
11
01
00
00
00
11
00
11
11
01
00
10
11
00
11
11
01
00
01
01
10
01
01
10
00
10
10
00
00
11
01
01
10
01
11
10
00
00
00
00
10
10
10
01
10
11
11
11
00
01
00
11
10
00
00
10
10
00
11
10
10
01
10
00
00
00
10
11
11
10
11
10
10
00
11
10
10
00
01
11
00
10
10
10
10
01
00
01
00
10
01
10
01
00
10
10
01
00
11
00
00
00
10
00
01
10
10
00
10
00
00
01
10
10
00
01
11
11
11
00
10
10
00
10
11
01
00
11
00
10
11
11
00
00
10
01
11
00
00
10
10
00
11
11
01
00
11
10
01
00
11
00
00
11
10
10
00
00
10
00
00
00
01
00
11
11
00
00
00
00
10
11
00
11
00
00
10
10
00
10
10
00
00
11
00
11
10
00
10
10
00
00
10
10
10
00
10
01
01
00
01
10
00
00
01
10
00
01
10
01
00
11
10
00
00
11
11
00
00
10
00
01
00
10
00
10
01
00
11
00
01
10
00
00
00
10
00
10
10
11
10
00
00
10
01
01
00
00
10
10
11
10
00
01
00
10
00
10
10
11
11
10
00
00
01
10
00
00
00
00
10
10
00
00
01
10
10
10
00
00
00
00
10
11
11
10
10
00
00
01
00
11
00
11
10
11
01
01
11
01
01
11
10
10
01
00
01
11
01
00
01
10
01
11
11
10
10
11
01
00
00
00
00
00
11
01
11
10
01
11
11
01
10
01
00
01
11
11
00
11
00
00
10
01
10
01
11
00
10
10
01
10
00
10
10
10
00
10
10
11
01
11
00
10
10
10
10
10
00
00
00
00
11
10
11
00
10
11
00
00
11
00
00
11
10
10
10
10
11
11
00
00
00
10
10
01
01
11
10
10
00
00
00
00
01
00
11
11
00
11
10
11
10
10
00
00
11
10
11
00
10
11
10
00
10
10
00
11
00
11
00
01
11
10
11
00
10
10
11
00
01
00
11
00
00
00
10
00
01
10
11
01
00
00
10
10
10
00
01
11
00
11
01
10
11
00
00
10
10
00
10
11
00
00
11
01
10
10
10
10
10
11
00
10
01
00
10
00
00
10
10
00
01
00
11
01
00
01
10
00
00
11
10
10
00
10
11
00
00
10
10
01
10
00
10
10
10
01
00
11
10
00
00
10
00
01
10
10
11
01
11
01
01
10
11
00
10
10
11
00
01
11
00
10
11
00
11
10
00
11
10
01
10
10
01
10
10
00
00
10
00
10
00
10
10
10
00
10
00
11
00
01
11
00
10
11
10
00
01
11
11
11
01
10
10
00
01
10
11
00
00
00
11
00
00
00
11
00
00
10
10
01
10
10
00
11
00
10
10
00
00
11
10
00
00
01
10
00
10
11
00
01
10
01
10
10
10
10
10
01
00
00
00
10
00
00
11
00
01
00
00
10
10
10
10
00
01
11
10
10
00
10
01
10
10
00
00
00
00
01
00
10
01
01
10
00
00
11
01
11
01
00
10
11
01
00
10
10
10
00
00
01
10
00
00
00
01
00
00
10
11
00
10
11
10
00
10
11
01
00
00
10
00
10
10
10
00
11
00
10
10
10
00
10
10
00
00
10
10
10
11
00
00
11
01
10
11
00
10
10
00
01
00
11
11
01
00
10
10
10
10
10
00
00
01
00
10
00
10
11
00
00
00
11
00
11
10
01
01
00
01
10
10
01
00
10
00
01
10
01
10
10
00
11
11
10
11
00
01
00
11
10
11
00
00
01
10
00
01
00
10
01
00
01
01
11
10
00
00
11
11
10
10
00
00
01
00
01
00
00
10
10
00
11
10
00
10
10
00
10
01
00
01
10
01
00
11
10
10
10
01
00
11
10
00
10
10
10
00
10
10
10
00
01
10
10
01
00
00
10
01
00
01
11
11
00
00
11
00
01
11
11
01
00
10
10
01
00
01
01
11
11
01
11
10
00
00
10
00
10
10
00
00
01
00
10
00
10
00
00
10
10
00
01
10
10
10
01
10
11
01
00
00
10
11
10
10
00
01
00
10
10
10
00
00
11
00
01
00
10
00
00
11
00
00
10
11
01
00
10
00
10
00
00
10
10
10
01
10
10
10
01
00
10
00
00
00
10
10
00
10
10
00
10
10
01
10
11
00
01
00
10
10
00
10
10
10
00
11
00
10
00
01
11
01
01
10
11
01
00
11
10
01
00
10
00
01
11
00
01
00
01
11
10
00
10
00
00
10
11
10
11
01
00
01
00
10
10
11
01
10
10
00
00
10
10
10
11
10
01
00
11
00
01
10
11
01
10
10
01
01
00
10
10
00
00
01
11
11
10
11
10
10
00
10
10
00
10
11
00
01
10
00
10
10
10
00
10
11
11
10
10
10
01
00
10
01
10
00
01
00
11
01
10
10
00
10
01
01
10
00
10
00
11
10
10
10
00
11
00
01
10
11
00
11
10
11
10
00
01
10
10
00
01
10
00
10
00
11
01
00
00
10
00
00
11
10
11
00
10
00
10
10
00
00
10
00
00
10
01
10
11
10
01
00
00
10
00
00
11
11
11
10
10
10
11
10
01
01
10
10
10
00
11
10
00
00
10
10
00
00
00
10
10
10
10
00
00
01
00
10
01
11
00
10
01
00
10
10
00
10
00
00
00
00
11
01
01
00
00
10
10
10
10
10
00
10
10
00
00
10
10
10
00
00
01
00
00
10
11
01
01
10
11
10
11
00
00
10
00
01
10
01
00
10
01
01
10
00
10
10
00
00
00
10
10
00
10
10
11
00
00
10
10
01
10
00
10
10
01
01
00
10
10
10
00
10
10
00
00
01
00
01
10
10
00
10
00
00
10
10
10
10
00
00
10
01
01
10
11
00
00
11
11
01
01
00
00
00
10
10
00
00
00
10
11
00
10
10
01
11
01
00
10
01
11
10
00
10
10
00
10
01
11
01
00
10
11
00
01
10
00
01
00
10
10
01
00
00
10
10
01
10
01
01
10
11
11
00
01
10
01
00
11
10
11
10
00
10
10
01
10
00
00
00
00
01
10
10
00
01
01
11
11
11
10
11
10
00
00
00
01
01
01
10
11
11
00
01
10
11
00
01
01
00
10
10
11
00
00
11
10
01
10
11
00
10
00
11
00
00
11
01
10
10
01
01
00
11
01
01
00
11
10
11
00
00
00
10
11
00
00
01
00
11
11
01
01
00
10
11
11
00
00
00
10
11
00
10
10
00
00
00
10
00
11
11
00
11
10
00
00
10
11
01
11
10
00
00
10
00
00
00
10
11
00
10
00
00
10
11
10
00
00
10
01
10
11
00
00
10
01
00
10
11
10
00
01
11
00
11
10
01
00
10
10
00
00
10
11
01
11
11
00
00
11
10
11
00
00
11
10
11
00
00
10
11
00
00
01
10
11
00
01
10
10
00
00
01
01
01
11
01
10
10
00
10
11
00
00
10
00
00
10
01
00
11
00
11
10
00
10
10
10
00
00
11
01
10
00
10
11
00
00
00
01
10
00
10
10
00
01
00
11
10
01
10
11
10
10
01
00
10
00
11
01
10
10
01
00
10
10
00
10
10
01
10
01
00
00
10
11
01
00
10
10
11
10
01
10
10
01
00
11
10
01
11
10
11
10
00
00
01
11
00
01
10
01
01
00
11
01
00
11
10
00
10
00
00
01
00
10
10
00
10
00
11
10
10
10
01
11
00
11
00
00
10
10
00
10
10
00
11
01
00
00
11
10
11
10
00
10
11
10
00
10
10
10
10
00
00
10
00
01
10
00
10
11
00
11
10
01
00
10
01
00
00
10
10
01
00
11
00
00
10
11
01
11
11
00
11
00
11
10
10
00
01
01
10
11
10
01
00
01
00
11
00
01
00
10
00
10
10
01
10
00
00
11
11
00
00
01
10
01
10
11
01
00
10
10
10
00
00
10
11
10
11
10
00
10
00
11
00
10
10
11
00
01
10
00
00
11
00
10
01
01
11
00
00
00
01
10
00
00
10
10
11
00
01
11
00
01
00
00
10
01
10
10
11
00
01
11
11
11
10
00
00
00
10
10
11
00
01
10
11
01
00
00
00
10
10
10
00
10
00
11
10
11
01
11
00
10
01
10
01
01
11
10
10
01
00
10
11
00
00
01
01
00
10
00
10
00
11
10
01
11
00
11
00
11
10
10
00
10
11
00
10
10
10
10
01
10
01
01
10
10
00
10
10
00
00
00
11
00
11
01
00
11
00
10
10
00
01
10
10
10
00
00
00
00
11
01
10
10
00
00
10
00
00
10
01
10
00
10
11
00
00
01
11
11
00
10
00
10
10
01
10
01
00
01
11
10
11
00
10
10
01
01
11
10
00
00
00
00
01
10
00
00
10
10
10
00
10
00
00
00
00
00
10
11
00
01
00
00
10
00
11
10
01
01
11
00
00
11
11
11
00
00
10
10
10
00
10
10
11
10
01
00
11
10
00
00
00
10
11
00
11
10
11
01
00
10
01
00
10
00
10
10
00
01
00
00
00
10
11
10
10
00
10
10
00
00
00
10
10
11
11
10
00
10
10
00
10
10
11
10
00
00
00
11
00
10
10
00
11
00
11
10
00
00
10
11
10
00
01
11
01
10
00
00
11
10
00
00
11
11
11
10
10
10
10
11
00
01
00
11
10
00
00
11
10
00
10
10
01
00
10
10
01
10
01
10
10
00
01
01
01
00
10
10
10
10
00
00
00
10
10
01
10
01
00
10
10
00
00
10
10
01
10
11
00
01
00
01
00
10
10
00
11
10
10
00
01
11
10
11
10
00
11
00
01
11
10
00
00
10
00
10
10
00
00
00
01
10
01
00
00
00
10
11
00
01
11
00
00
00
10
10
10
00
11
00
11
00
00
11
11
11
00
01
11
11
10
10
00
00
00
01
10
11
10
00
00
11
10
00
10
10
01
10
11
10
01
10
10
01
10
01
10
01
11
10
00
00
01
10
10
00
10
11
00
01
10
01
00
00
00
11
11
11
00
10
00
01
10
00
00
10
10
01
00
01
00
00
00
11
10
01
01
10
11
10
11
10
10
00
01
10
00
11
10
00
10
11
00
00
10
11
00
11
10
00
01
11
01
10
11
00
10
00
00
00
01
10
11
10
11
00
10
00
11
10
01
00
11
11
00
00
10
10
01
00
00
01
00
10
00
00
00
10
11
01
10
10
00
01
00
01
11
10
01
01
10
11
00
00
10
00
01
10
10
00
00
00
00
11
01
00
10
11
10
10
10
00
10
11
11
00
00
11
11
00
10
10
00
00
10
10
00
00
10
11
00
10
01
11
11
01
10
10
10
00
01
10
11
00
10
11
11
00
00
10
10
10
01
10
00
10
01
01
11
10
10
10
10
00
00
11
11
11
11
00
10
01
00
00
10
10
00
10
10
00
11
10
00
11
00
11
10
11
01
00
11
10
11
10
00
00
10
10
11
11
00
11
00
01
00
00
11
10
10
00
01
10
01
00
01
10
00
01
00
00
11
00
10
10
00
01
11
11
00
00
00
00
10
11
01
01
10
11
10
01
10
00
10
10
00
01
10
11
00
10
01
01
10
00
01
01
10
10
10
00
10
10
11
10
00
00
10
00
00
10
01
11
01
00
00
00
11
10
00
10
11
00
00
00
10
10
11
10
00
10
10
11
00
00
10
01
11
00
10
01
10
10
10
11
01
10
10
00
10
10
10
00
00
00
10
10
10
10
11
10
00
00
10
11
00
00
11
10
00
10
01
01
00
01
10
11
01
00
00
10
01
00
00
10
10
10
10
00
00
01
10
01
01
01
00
10
01
00
00
10
10
01
10
00
10
01
00
00
10
10
01
00
00
00
10
10
11
10
00
10
01
01
10
01
10
10
10
00
10
10
01
00
00
10
00
11
01
01
10
00
10
10
10
11
00
00
10
10
00
00
10
00
10
10
10
00
00
10
01
11
10
10
00
00
00
01
11
00
00
10
10
00
11
01
11
11
00
01
00
11
11
01
10
10
00
00
00
10
10
00
10
00
10
11
00
01
01
01
11
00
11
10
00
10
10
00
01
10
11
01
00
10
10
10
10
11
11
10
11
01
01
01
00
10
00
01
01
11
00
10
00
00
00
00
10
01
00
01
10
10
10
10
00
01
11
10
11
00
00
01
01
10
00
01
10
00
01
10
11
01
00
00
01
10
11
00
00
00
00
10
11
11
10
01
00
10
00
11
00
01
10
10
00
10
11
01
00
01
00
11
00
11
10
10
01
00
10
10
00
01
00
01
11
01
00
10
11
10
00
11
10
01
10
00
00
00
00
10
11
01
00
00
10
10
10
00
00
10
10
01
10
11
10
00
00
10
00
00
00
00
10
10
10
00
10
10
10
01
11
00
01
10
10
10
00
11
10
10
00
11
11
00
01
00
01
11
11
00
00
10
10
10
01
10
01
10
00
01
11
11
00
00
11
10
11
00
01
10
00
11
00
00
11
10
11
01
00
00
11
00
01
11
10
11
11
10
01
10
10
11
01
00
10
11
11
11
11
00
01
11
11
01
00
10
10
00
01
11
01
10
10
00
10
01
10
01
00
10
00
11
00
00
10
10
00
11
00
10
10
00
10
00
00
00
10
10
01
00
00
01
00
10
11
01
01
10
10
00
00
11
10
10
11
00
10
10
01
01
10
10
01
00
00
10
00
01
00
01
10
10
10
00
01
10
00
10
00
10
00
10
10
10
11
00
10
00
00
10
11
01
00
10
01
00
11
10
00
00
10
11
10
01
00
00
01
01
00
11
10
00
00
00
10
10
00
01
00
11
11
00
01
00
11
01
01
10
00
00
10
01
01
00
00
00
10
10
10
11
01
00
10
00
01
01
11
11
11
01
11
00
11
00
00
10
10
00
10
10
00
00
10
10
01
00
00
10
11
10
00
10
11
10
10
10
00
01
10
10
10
01
00
00
00
10
01
01
00
10
11
01
00
11
10
00
10
10
00
00
10
10
00
01
00
11
10
10
00
10
10
11
00
01
00
10
00
10
10
00
01
10
00
00
10
11
00
11
10
11
01
11
10
00
00
10
10
10
01
01
00
10
00
10
10
10
11
10
00
00
01
01
11
10
00
00
01
10
10
10
00
00
00
10
10
00
00
00
10
00
01
00
10
10
10
01
10
00
00
10
00
00
10
11
01
01
10
11
01
10
10
00
01
11
01
00
11
10
00
10
10
11
00
01
01
10
11
10
00
10
00
00
01
11
10
11
10
11
10
00
00
00
10
11
10
00
10
11
00
10
10
10
01
11
01
00
10
00
10
00
00
10
11
11
10
00
00
10
10
10
00
10
00
01
00
11
00
00
11
10
00
01
10
00
10
10
01
00
11
10
11
10
10
11
00
00
11
00
11
00
00
00
10
10
01
01
10
11
00
11
11
01
00
10
00
01
10
10
00
00
00
00
01
10
00
10
00
00
11
00
10
10
00
00
10
10
00
00
00
00
10
11
10
10
00
00
00
00
10
00
10
11
10
00
10
10
10
01
00
10
00
01
00
00
11
00
01
11
00
00
10
10
01
10
00
11
00
10
00
01
10
00
11
10
10
01
00
01
00
01
01
00
10
10
00
00
00
11
10
00
10
10
00
10
10
11
00
00
00
00
11
01
00
00
00
01
10
11
10
11
11
00
11
00
01
10
01
10
00
01
10
00
10
00
01
00
11
00
00
11
00
00
10
10
00
10
11
11
00
11
11
11
00
10
00
11
00
00
10
10
10
11
01
10
10
10
00
00
00
11
10
10
00
01
00
11
01
11
00
01
10
11
10
10
11
00
00
11
01
00
00
00
11
10
00
00
10
10
11
00
00
10
00
11
10
10
10
00
10
01
10
10
00
10
10
11
00
01
01
10
01
00
11
10
10
00
01
10
11
00
10
10
00
00
00
11
10
01
01
10
01
11
00
11
10
00
00
00
10
10
10
00
10
10
10
11
10
00
00
11
00
00
10
10
00
01
11
11
11
00
00
11
01
00
10
10
01
01
00
11
10
11
00
00
10
00
11
01
10
10
10
01
00
01
00
00
11
10
00
10
10
01
00
10
10
10
00
00
10
10
11
01
10
11
11
01
10
01
10
00
01
11
10
10
00
01
10
11
10
00
00
10
10
10
01
11
00
00
00
10
10
01
01
10
00
00
10
00
10
11
10
00
00
00
00
10
01
10
10
01
10
00
10
10
00
10
11
10
00
10
01
00
00
10
11
00
10
00
10
11
01
10
00
10
00
10
00
01
10
11
00
01
00
10
01
10
10
01
01
10
11
10
11
00
00
10
11
01
01
00
10
10
00
00
10
10
00
11
00
00
00
10
11
01
00
11
10
10
00
00
11
11
00
00
01
00
10
00
00
01
00
01
10
10
10
11
10
10
10
00
00
10
00
00
01
10
10
11
00
00
01
01
10
00
01
10
00
00
11
01
00
10
10
00
00
11
00
01
10
00
01
00
11
10
00
01
00
00
10
11
01
00
10
11
10
10
10
00
01
00
01
10
00
00
10
00
10
00
00
11
00
01
11
10
10
01
01
10
00
01
10
01
11
11
00
00
10
01
01
01
10
10
11
11
00
10
10
01
00
10
00
10
00
10
10
00
10
11
10
10
10
01
10
00
11
00
01
01
10
10
01
00
11
00
00
00
11
11
11
01
01
00
10
11
00
10
11
00
00
01
10
01
00
10
10
00
00
10
10
10
10
10
10
00
11
00
01
00
00
00
11
10
01
00
11
10
00
00
01
00
01
10
10
10
01
10
10
00
01
01
01
11
10
00
11
10
10
01
00
11
01
00
00
00
00
00
10
10
10
00
00
10
00
10
11
00
10
00
10
00
01
00
00
01
10
10
00
10
11
00
10
10
10
01
01
10
01
01
00
10
10
00
10
00
01
11
11
00
00
00
00
00
00
10
11
11
00
01
10
11
00
10
01
00
11
10
11
11
00
00
00
11
00
00
11
10
00
01
00
10
10
00
00
10
11
01
10
10
00
10
11
01
01
00
00
11
10
00
10
10
00
01
11
10
10
00
10
10
10
00
10
00
00
00
10
11
11
01
00
00
10
01
01
11
00
00
10
01
01
00
10
11
10
00
10
01
00
00
01
10
10
00
10
00
10
10
00
01
11
11
00
11
10
00
00
00
10
10
11
00
10
10
11
10
00
00
10
01
10
11
00
00
00
00
11
11
10
01
00
11
10
10
00
01
01
10
00
00
01
10
01
01
10
10
00
00
10
01
01
00
01
10
00
00
00
00
10
10
10
00
11
10
10
10
00
00
10
00
01
10
10
00
00
01
10
11
10
01
10
10
10
11
10
00
10
11
10
10
00
00
00
00
00
11
10
10
00
01
01
01
10
10
11
00
00
01
01
10
10
11
00
00
01
10
00
10
10
00
00
10
10
00
01
10
11
10
10
11
00
01
11
10
00
10
00
00
00
11
10
10
01
00
11
10
00
10
00
10
10
00
10
01
00
01
00
01
10
01
11
11
00
00
01
10
00
00
10
11
00
00
10
00
01
00
11
11
00
00
10
10
00
10
11
00
11
11
00
01
11
11
01
00
00
10
11
00
11
10
00
11
00
10
00
10
10
01
00
10
10
00
00
01
00
00
11
00
00
00
00
10
00
10
11
10
00
01
11
00
00
10
10
01
10
10
00
00
01
10
11
00
00
10
11
00
00
00
10
10
10
10
10
00
00
11
00
00
11
01
01
00
11
10
11
00
00
00
11
10
01
01
10
11
10
10
00
00
10
10
10
00
00
10
00
00
00
11
01
11
01
11
00
10
10
00
10
10
00
11
00
11
00
10
00
01
00
00
10
10
10
00
01
11
10
00
11
00
00
10
10
00
01
11
01
10
00
10
10
10
11
01
00
10
01
00
11
11
10
10
00
00
01
11
00
10
10
01
01
00
10
10
11
10
11
00
01
10
01
11
10
11
00
00
11
00
11
00
11
10
01
00
00
10
00
00
11
00
00
10
00
10
10
10
10
10
01
11
01
10
01
10
10
10
00
10
11
10
00
00
00
00
00
00
11
10
11
11
10
00
10
10
10
00
11
10
00
11
10
00
00
11
11
10
11
01
00
11
00
10
10
00
00
00
00
10
11
01
00
00
10
11
10
10
00
00
10
00
00
00
00
11
00
10
00
10
11
01
00
00
00
10
10
00
00
01
11
00
10
11
00
00
00
11
00
01
11
10
00
00
00
10
10
00
01
10
10
00
10
11
10
10
00
01
10
00
11
10
00
11
10
01
01
00
01
01
10
01
11
10
10
01
00
10
00
00
10
11
10
00
00
10
00
00
01
10
00
01
10
01
10
00
00
10
11
00
10
01
11
10
01
00
11
11
00
11
01
10
11
01
10
01
00
10
10
00
01
00
00
10
11
11
11
10
11
00
11
00
00
00
10
00
10
10
00
10
11
10
00
00
01
10
11
00
11
11
00
11
00
01
01
00
10
00
00
00
11
10
01
00
10
11
10
01
10
01
00
11
11
00
11
10
01
00
10
10
00
01
10
00
11
11
11
00
00
11
11
11
01
00
10
10
01
00
11
11
00
00
11
00
10
00
00
10
10
10
10
11
00
10
10
10
00
11
00
00
10
10
10
10
01
01
01
10
01
10
10
10
00
00
11
10
00
10
00
11
01
00
11
00
00
10
10
10
00
00
01
00
10
00
10
00
01
10
01
10
00
00
10
00
11
00
01
10
10
00
00
11
10
00
01
00
10
00
10
00
00
01
11
11
00
11
01
11
10
00
00
10
11
10
00
01
10
00
10
10
10
11
10
11
10
11
01
00
11
01
10
10
00
00
10
10
01
10
11
00
10
00
10
11
00
10
10
00
10
00
01
10
00
01
00
01
11
10
10
01
01
11
00
10
10
00
10
00
00
11
10
10
11
00
00
01
10
00
01
11
11
11
01
11
11
11
10
01
01
01
00
01
00
11
10
00
11
10
10
00
10
11
01
00
01
01
11
10
01
00
10
01
00
10
00
00
10
10
01
00
11
10
10
00
11
11
10
00
01
11
11
01
10
10
00
00
00
10
10
00
10
00
00
10
11
01
10
10
01
01
00
10
01
00
01
10
11
00
01
01
01
11
10
10
00
11
10
01
10
10
00
01
10
10
10
00
01
10
11
10
10
00
01
11
01
00
01
01
10
00
00
10
10
10
10
01
11
11
01
11
11
11
10
11
10
01
01
11
11
00
01
01
01
01
01
10
11
00
00
11
11
10
01
11
11
11
10
00
10
10
10
00
00
10
11
00
00
10
10
01
00
11
00
10
10
00
00
00
10
10
10
00
01
01
01
11
10
00
00
11
10
01
01
10
11
00
10
00
01
10
11
00
10
00
10
10
01
00
10
10
11
00
01
00
00
11
10
01
10
10
00
11
11
11
01
10
10
10
10
10
00
00
11
11
10
00
10
00
01
11
00
10
10
10
00
10
11
00
01
10
10
11
10
11
00
00
00
01
10
10
10
00
10
00
10
00
10
11
11
10
10
01
10
01
10
10
01
00
00
11
11
01
11
00
10
00
10
10
00
00
11
00
00
11
01
00
11
01
01
01
11
10
10
00
00
01
10
10
00
00
01
11
11
00
00
10
10
10
00
00
10
10
10
00
01
10
10
10
00
10
10
01
01
11
00
00
10
10
01
10
00
00
10
00
00
11
11
00
00
00
00
00
11
10
10
00
11
00
10
10
00
10
00
00
11
10
10
00
00
10
10
01
01
00
00
11
00
00
10
11
00
00
00
01
00
11
10
11
11
10
00
00
10
10
10
00
10
00
11
10
10
11
11
11
00
10
01
11
01
00
11
10
10
00
01
00
10
10
11
01
01
00
01
10
01
11
00
10
00
00
11
00
10
10
11
00
00
00
11
01
00
00
00
00
10
10
10
00
10
01
00
10
00
11
01
11
10
10
00
01
00
00
00
10
10
00
10
00
11
10
11
10
01
00
00
10
00
01
01
00
10
10
10
00
10
11
00
10
00
00
10
10
01
00
10
10
10
10
10
10
11
00
00
01
10
10
01
01
10
00
10
10
10
00
11
00
10
11
00
01
10
11
00
01
00
01
10
11
00
01
10
00
01
00
01
10
01
01
11
10
11
00
00
11
11
10
00
10
10
10
10
10
10
01
00
00
00
10
11
00
10
10
01
11
10
01
00
11
01
01
10
01
00
11
01
11
10
01
00
10
11
01
10
10
11
00
01
00
11
10
00
00
11
10
00
10
10
01
00
00
11
00
10
00
00
10
00
00
10
01
01
00
01
10
00
00
11
11
01
01
10
10
10
00
10
00
00
10
10
10
01
10
10
10
00
11
00
00
10
10
00
00
10
10
10
00
00
10
11
10
10
10
01
00
00
00
00
11
00
00
10
10
00
00
10
00
01
00
11
00
10
11
00
10
01
10
10
10
01
01
00
00
11
10
01
00
00
10
11
00
10
00
00
00
10
00
11
11
00
00
10
00
00
01
00
11
11
00
01
10
00
00
00
11
11
01
00
01
10
00
01
10
10
00
11
11
11
10
00
10
01
01
10
01
00
10
11
11
01
00
10
11
11
01
00
01
11
00
10
11
00
10
10
01
00
10
10
10
10
00
00
10
10
00
00
11
01
00
01
10
10
00
10
11
00
11
11
10
10
01
01
10
00
00
10
01
00
01
00
00
10
10
11
10
10
00
01
01
11
10
11
01
00
01
10
10
00
11
11
00
10
10
00
11
00
10
01
10
11
11
00
00
00
11
00
00
10
00
10
01
00
10
10
01
00
10
10
10
00
00
10
10
00
01
01
10
10
01
11
00
11
10
01
10
10
00
00
11
11
11
10
00
00
00
10
10
01
00
01
10
10
10
10
01
10
11
00
00
10
10
10
01
11
10
10
00
11
01
01
00
10
00
00
01
00
11
10
10
10
00
00
00
00
10
01
00
11
00
11
01
00
00
00
11
10
00
00
10
10
01
10
10
11
00
10
10
00
00
01
00
00
00
11
10
10
11
10
10
11
00
10
10
11
10
11
00
00
00
01
00
11
10
00
10
00
01
11
11
01
00
01
00
11
10
00
01
10
11
00
11
11
10
10
11
00
10
10
00
01
10
00
00
01
01
11
11
01
10
10
11
10
00
10
10
00
01
11
00
11
10
00
00
11
11
00
00
10
00
01
00
00
00
10
10
00
11
01
10
00
01
00
10
11
10
10
00
10
11
00
10
10
10
00
00
01
00
10
10
01
10
00
00
10
00
10
10
00
01
10
10
01
01
11
10
01
10
10
00
00
00
11
01
01
10
10
00
00
00
00
00
10
00
10
11
10
10
00
00
10
01
00
10
00
00
00
10
00
00
11
11
00
10
11
01
00
10
10
10
01
00
10
00
00
11
00
10
00
00
10
00
00
10
00
10
10
00
00
01
11
10
00
00
00
10
01
11
11
00
01
11
10
00
00
11
10
10
00
00
01
00
10
00
10
10
10
10
00
10
10
10
00
10
00
00
01
10
00
01
01
11
00
11
10
00
01
10
11
10
01
00
01
00
10
00
00
01
00
00
11
00
11
10
01
11
10
00
00
00
01
00
00
11
01
00
01
11
10
01
01
00
11
10
01
10
10
00
10
00
10
10
01
10
00
10
00
00
00
10
10
10
01
01
11
00
10
00
00
00
01
10
00
00
11
10
11
10
10
00
01
10
11
10
01
01
10
01
00
01
10
11
00
11
10
11
00
00
10
00
00
10
10
00
01
00
11
11
00
10
11
10
00
00
10
00
10
10
11
10
01
01
00
10
11
11
00
00
01
10
00
10
00
10
11
11
10
11
10
11
10
11
00
10
10
00
00
10
10
01
00
01
00
11
10
11
10
00
00
10
10
00
00
10
11
10
01
10
10
00
00
00
00
00
10
00
00
00
00
01
10
00
00
00
11
00
00
11
11
10
00
00
10
00
11
10
11
00
00
10
00
00
01
00
11
10
10
00
00
10
01
10
11
11
01
01
10
00
00
10
10
10
00
01
10
10
01
01
10
11
11
00
00
11
00
11
00
11
10
01
00
00
00
11
00
00
00
10
00
10
00
01
00
10
01
10
01
00
10
01
00
00
10
10
00
00
10
00
10
11
00
11
10
00
10
10
00
11
00
00
01
10
10
00
11
10
01
10
00
10
11
01
10
10
10
00
00
11
10
00
11
10
11
00
00
10
00
00
01
11
10
10
00
10
10
00
10
00
00
00
10
10
10
11
10
10
00
10
01
11
10
10
10
01
00
01
11
11
00
00
11
00
01
00
10
10
00
01
00
10
10
11
00
10
01
10
01
00
10
10
00
01
10
00
00
00
00
11
00
00
11
10
10
00
10
10
11
10
00
10
00
11
01
00
00
10
11
10
10
00
10
10
10
11
00
00
00
00
10
10
10
00
00
10
00
11
11
01
10
01
10
00
00
10
11
10
11
00
10
10
00
00
01
10
11
00
10
11
00
10
10
10
00
10
10
01
10
00
01
01
10
10
01
11
00
00
10
10
01
10
11
00
00
00
11
10
01
10
11
00
11
01
10
10
00
00
10
10
01
11
10
10
10
01
00
00
11
00
11
00
00
10
10
01
01
01
10
01
00
01
10
01
00
10
11
01
00
11
01
01
10
01
10
10
01
00
11
11
01
01
10
10
01
10
11
11
10
00
11
01
00
11
11
00
01
10
00
01
00
11
10
01
01
10
01
01
10
11
01
00
00
10
10
00
00
11
10
11
10
00
10
00
10
00
10
11
00
11
10
00
01
00
10
00
10
10
00
10
10
10
01
10
10
10
00
00
11
00
10
00
01
10
01
00
11
10
00
01
10
10
10
10
00
00
10
00
10
10
10
11
01
11
00
10
10
10
01
00
00
10
10
10
10
00
01
01
10
00
11
11
00
00
10
10
00
00
01
11
10
00
10
11
11
00
10
00
00
11
00
11
10
10
00
10
10
01
00
11
01
10
11
10
01
00
10
10
10
01
00
00
11
00
11
00
01
11
10
11
00
00
01
10
10
00
00
10
01
11
11
00
00
00
00
11
00
10
00
11
10
01
10
01
00
01
10
00
01
10
01
01
11
01
01
10
00
01
10
10
10
10
00
11
11
10
00
10
10
01
11
10
00
10
01
00
11
00
00
10
10
11
10
01
01
10
00
00
00
00
01
10
10
00
01
00
00
10
10
11
10
00
11
11
00
01
11
00
01
01
01
10
01
10
01
00
10
00
10
11
00
11
00
01
10
11
00
10
00
00
01
10
01
00
01
10
11
10
11
00
01
01
11
00
01
00
11
01
01
11
10
00
01
00
11
01
00
10
11
11
01
01
10
01
00
10
10
00
01
10
10
01
10
11
10
10
01
00
01
01
11
11
11
10
00
11
10
10
00
00
10
00
00
10
00
00
00
10
00
10
01
00
01
10
00
11
10
10
10
00
10
10
01
00
11
11
10
01
01
10
00
11
10
00
10
01
10
10
00
01
00
10
11
10
10
00
10
01
10
10
11
10
10
00
01
00
11
10
00
00
01
00
10
00
01
00
11
10
01
11
10
10
10
01
01
10
01
11
10
00
01
10
11
00
00
10
00
00
00
10
10
00
10
10
00
10
00
01
11
10
00
01
01
11
01
10
10
10
01
10
10
00
00
01
10
10
01
10
01
00
10
10
10
00
10
00
00
10
10
00
11
00
00
10
10
00
11
10
00
10
10
01
10
01
00
00
10
00
10
11
10
01
10
11
10
10
11
00
00
10
01
00
10
10
00
00
10
10
11
01
10
00
01
00
10
11
10
01
10
00
00
01
11
10
00
10
00
10
10
00
00
00
10
11
00
00
10
11
10
01
11
10
00
11
10
00
00
10
01
10
11
00
10
11
10
00
10
10
01
01
10
10
10
00
00
00
00
00
10
10
01
10
00
10
10
11
10
10
00
01
10
11
10
01
10
11
10
00
10
10
00
00
00
11
11
10
11
00
01
10
10
01
00
10
10
11
11
00
01
01
00
10
11
00
01
10
11
00
11
01
00
10
10
11
00
10
10
00
00
10
10
11
10
00
01
10
10
00
11
10
00
00
00
00
00
10
11
10
00
00
01
00
10
00
00
00
10
00
01
11
11
00
11
01
01
10
10
01
00
00
11
11
01
10
10
01
10
10
00
11
11
00
01
00
01
00
01
11
00
10
10
00
01
11
10
11
01
10
00
00
10
10
01
01
00
01
10
10
01
11
11
00
00
10
00
00
10
10
01
00
10
00
00
00
11
00
01
11
00
01
10
11
00
10
10
01
11
11
10
00
10
10
10
00
00
10
00
10
11
00
00
00
10
01
00
10
10
11
00
11
00
00
01
00
00
10
10
01
00
11
11
00
00
00
00
00
01
11
10
01
01
10
10
10
00
00
01
10
10
01
00
01
10
00
10
00
01
11
01
01
10
10
00
10
10
10
01
01
00
10
10
10
10
00
01
00
01
11
11
00
01
10
11
00
00
11
10
00
00
00
10
10
11
10
10
00
01
00
00
10
11
11
11
10
10
10
00
10
00
10
11
00
01
01
11
00
00
11
01
00
11
10
00
00
01
10
10
00
00
10
00
10
10
10
01
01
00
00
00
11
11
00
11
01
00
11
00
00
10
10
00
00
10
10
10
01
01
01
10
00
10
10
00
00
10
10
01
10
00
10
00
00
00
10
10
00
01
10
10
01
00
10
10
00
11
00
00
00
01
00
10
10
10
00
00
10
00
10
11
00
01
10
01
10
11
01
01
00
11
01
10
11
00
00
00
11
10
01
01
10
01
10
10
10
11
00
01
10
10
00
11
01
00
10
01
10
01
11
10
01
10
00
01
10
10
10
00
00
10
01
10
00
11
01
10
01
10
00
00
10
00
00
00
10
00
01
00
10
00
00
10
00
10
10
00
00
10
10
00
00
10
00
00
00
10
10
10
00
10
01
11
10
01
10
00
01
01
10
10
01
00
00
01
01
11
00
11
01
00
10
00
01
10
00
01
11
10
11
10
00
10
00
10
10
00
10
11
00
01
11
10
10
01
00
00
00
10
00
00
00
10
10
00
11
10
00
10
01
10
00
00
11
10
00
11
11
11
00
01
01
00
10
00
00
00
00
10
10
00
00
10
00
10
01
00
01
11
11
10
01
11
01
01
11
10
10
00
00
01
01
10
11
11
01
11
11
01
11
10
00
00
00
10
11
00
11
10
00
00
00
10
10
10
00
00
10
01
00
01
01
00
01
11
10
01
00
11
11
11
01
01
01
11
00
10
01
00
10
10
00
11
00
10
10
10
10
11
00
00
10
01
11
11
10
10
01
10
00
00
00
11
10
01
11
11
11
10
00
00
11
10
01
01
10
11
11
01
00
11
10
10
10
00
01
10
01
00
01
00
11
01
00
01
10
00
00
10
10
11
10
01
00
10
00
01
10
11
10
00
10
00
01
00
00
11
10
00
01
10
10
00
10
00
00
00
11
11
00
00
11
11
00
10
11
10
10
00
00
10
10
10
00
01
01
00
00
00
10
11
10
10
01
00
10
10
10
10
01
11
01
10
10
00
10
00
00
10
10
01
00
01
10
11
00
11
00
01
10
10
10
00
00
10
10
00
01
11
00
01
10
10
00
10
00
01
00
10
10
10
11
10
10
11
01
00
10
01
00
10
01
11
11
01
00
00
10
10
10
10
11
00
10
11
10
00
10
00
00
10
01
10
10
00
00
10
10
01
01
10
10
10
10
00
00
10
10
00
01
00
00
10
11
10
01
01
10
00
01
10
11
00
00
10
11
00
01
00
10
00
10
11
00
11
10
01
01
01
00
11
11
11
00
10
10
10
01
00
10
01
10
01
00
00
01
00
11
10
10
10
00
01
10
00
10
01
00
00
11
00
01
10
10
00
10
00
01
10
11
00
00
10
01
00
11
10
00
10
11
01
10
10
00
00
10
00
00
10
11
00
11
00
00
10
11
10
00
10
01
00
11
10
01
10
11
01
00
10
10
10
11
00
10
11
01
00
00
01
10
11
10
11
01
00
10
01
10
10
00
00
01
10
00
00
01
10
11
11
11
00
00
01
00
00
11
10
00
00
11
00
00
10
10
00
00
01
01
00
10
01
10
10
00
10
10
01
10
00
00
01
00
00
10
11
11
00
11
10
10
10
01
00
01
10
11
10
00
10
10
00
00
10
10
10
10
10
01
11
01
00
10
00
00
01
10
01
01
11
10
00
00
00
01
11
10
01
01
10
01
11
11
00
10
10
00
10
10
01
01
10
10
00
00
10
10
01
11
00
00
10
00
01
10
00
00
00
00
11
10
01
10
11
11
00
10
00
10
10
10
01
01
00
01
10
01
00
10
10
10
01
01
00
00
00
10
00
11
10
01
10
00
00
01
11
10
10
01
10
01
11
10
01
10
11
10
00
00
01
10
11
01
00
10
00
00
10
11
00
01
10
10
00
10
00
11
10
00
01
10
10
10
10
10
10
01
01
10
10
00
10
00
11
00
11
00
10
10
10
11
10
10
01
11
10
11
00
00
10
10
00
10
00
00
10
10
10
10
11
00
10
00
01
00
11
00
00
01
10
01
00
10
00
00
10
10
00
01
10
11
00
00
00
00
01
00
00
11
10
10
00
00
10
00
00
01
11
11
00
11
10
00
01
00
00
00
10
10
10
01
00
10
01
11
10
10
10
01
11
00
00
10
00
00
00
01
10
10
00
00
01
00
01
10
01
11
10
00
01
00
11
00
00
10
10
01
00
00
10
00
00
10
00
10
10
10
10
11
11
00
10
11
10
01
01
00
00
10
10
01
10
10
00
00
01
10
11
01
00
10
10
10
11
10
01
10
01
01
11
11
10
01
00
01
10
00
00
10
10
00
01
01
10
01
00
00
10
00
10
10
10
10
00
01
00
10
01
10
11
00
01
01
11
01
10
10
00
00
10
10
00
10
10
00
00
00
10
10
11
01
00
01
00
00
00
10
10
01
11
10
10
11
10
11
10
01
00
11
01
00
01
10
10
00
10
10
00
00
10
11
01
11
00
10
00
10
10
00
10
10
10
11
00
10
01
10
10
10
10
01
10
10
11
00
00
01
00
00
01
00
10
10
00
11
01
11
10
01
01
00
01
00
00
11
11
10
00
01
11
01
10
10
01
10
10
00
10
11
10
00
00
00
11
11
01
10
10
00
10
10
01
01
11
11
01
11
11
00
10
10
01
00
10
10
01
00
01
00
10
10
11
00
00
00
11
11
00
01
00
01
00
00
11
10
11
01
00
10
10
01
10
00
00
10
01
11
10
00
10
11
00
01
10
11
01
00
10
00
00
00
10
00
10
10
00
10
10
01
10
01
01
10
00
10
00
10
11
00
00
10
00
00
10
10
10
11
10
10
00
11
00
01
01
10
01
00
00
01
00
11
01
00
10
00
00
01
00
10
11
10
00
00
10
11
10
01
01
01
11
01
00
00
10
10
11
00
01
10
10
00
10
10
10
11
00
01
10
10
00
00
10
10
00
01
10
00
01
11
10
11
01
01
10
10
00
11
11
01
00
10
11
10
00
11
00
00
00
11
10
10
00
00
11
10
10
10
10
10
00
00
11
01
00
10
00
00
10
10
10
00
00
00
00
11
10
00
00
11
10
00
10
10
10
00
11
00
10
10
00
00
00
00
10
11
00
01
00
01
00
00
01
11
10
01
10
10
10
00
10
01
00
10
00
10
00
00
10
10
10
01
10
00
00
11
01
10
01
10
00
01
11
10
10
01
11
10
00
00
00
00
00
10
01
00
11
01
10
11
01
00
10
00
11
01
01
11
11
01
10
10
01
10
01
10
00
00
10
00
01
11
00
00
10
01
00
10
10
01
10
01
10
00
01
10
00
00
00
10
00
10
10
00
11
10
00
10
10
00
00
00
10
10
11
00
01
10
11
00
00
10
00
01
10
11
00
00
00
10
01
00
01
10
01
01
01
10
10
01
11
00
00
00
00
10
00
10
01
11
10
00
10
10
01
00
10
00
11
10
01
11
00
00
10
10
11
00
10
00
00
10
00
00
10
11
10
10
10
10
00
01
01
10
11
01
01
11
00
00
11
10
10
01
10
10
10
10
00
00
11
10
10
01
01
10
01
00
11
10
00
00
11
00
01
00
00
11
01
10
10
10
00
00
11
00
01
10
00
11
00
01
10
10
01
00
11
00
10
10
01
01
01
10
10
10
01
01
00
00
10
10
01
00
10
11
00
00
10
01
00
11
01
01
01
11
01
11
10
01
00
10
10
00
00
10
11
00
10
10
10
10
10
00
10
10
00
00
10
00
01
11
00
00
11
11
00
00
11
11
10
10
01
10
00
10
11
00
01
00
00
00
01
01
10
10
00
10
01
11
01
10
11
00
10
00
10
01
01
10
10
11
00
01
10
11
11
00
01
11
10
01
10
10
10
00
01
10
11
00
00
00
00
11
10
00
10
10
11
11
00
10
01
10
10
01
10
10
00
10
10
10
10
10
00
00
11
01
00
11
00
10
00
10
10
00
00
10
01
00
10
10
00
01
10
10
10
00
11
00
01
00
00
00
10
00
00
10
11
01
10
11
01
01
11
00
11
10
00
00
00
10
00
00
11
00
11
01
00
00
00
00
01
11
10
01
10
11
11
01
10
10
01
00
11
10
00
00
00
11
10
01
01
00
10
10
11
00
10
01
00
00
00
01
11
10
00
01
10
10
00
10
10
00
01
00
10
10
10
00
00
01
11
01
00
01
10
01
01
11
10
01
00
00
00
11
11
01
11
10
00
11
00
00
00
11
00
00
11
10
10
01
10
11
10
10
00
11
10
01
11
00
00
00
10
01
10
10
01
00
00
01
10
00
00
01
10
01
01
11
10
00
01
10
10
00
10
10
10
01
10
10
00
01
00
10
00
00
10
00
10
10
00
01
00
01
10
00
11
00
11
00
10
01
00
10
10
10
10
01
01
10
00
01
00
00
10
01
11
00
11
11
01
10
11
10
01
01
10
00
00
10
11
10
00
10
10
00
10
00
10
10
10
00
11
00
01
10
00
01
01
00
10
00
01
00
01
10
10
00
01
11
11
01
00
11
01
00
00
10
11
01
10
10
01
00
10
10
00
00
10
01
00
00
11
00
01
00
00
10
10
01
11
10
01
10
00
01
10
00
00
00
10
11
00
10
11
10
00
10
00
00
10
10
00
00
00
00
00
10
00
10
10
00
00
10
10
10
00
11
10
00
10
00
01
00
01
01
10
11
00
10
10
00
10
00
00
10
00
00
10
00
00
11
11
00
00
01
10
11
01
00
10
11
01
10
10
01
10
11
11
01
00
10
00
10
10
00
10
11
10
00
10
10
10
11
10
10
00
00
00
11
10
01
10
11
01
10
01
00
00
10
00
00
10
00
00
00
11
11
11
11
10
00
00
00
00
01
11
00
00
10
10
00
00
10
00
00
00
10
11
00
00
10
10
10
10
01
01
10
10
00
10
11
11
01
00
10
00
00
00
11
10
00
00
00
10
10
01
11
11
01
01
11
00
10
01
10
10
00
10
10
01
11
10
00
11
00
10
11
00
01
00
10
11
11
00
10
01
00
10
11
00
11
11
10
01
00
11
00
10
11
00
00
11
01
01
10
10
00
11
00
00
11
10
01
00
00
01
11
00
10
01
00
11
00
11
10
11
01
00
00
11
01
00
11
10
10
11
10
11
00
10
10
00
00
00
11
10
00
00
00
00
10
00
11
00
00
00
00
01
00
10
11
01
01
01
10
00
01
11
10
01
00
10
00
10
10
01
01
00
10
10
01
00
10
00
10
10
01
00
11
00
11
00
11
00
10
10
00
00
10
11
01
11
00
00
10
10
01
00
01
11
10
10
01
11
00
01
10
00
00
00
10
10
01
01
00
10
10
10
10
00
00
01
11
10
10
10
10
11
00
01
00
10
00
01
10
11
00
01
00
01
00
11
00
00
01
01
00
11
10
11
00
10
11
00
01
10
10
01
10
00
00
00
10
01
01
11
00
00
00
11
10
10
01
00
10
00
00
01
10
10
00
10
00
10
10
01
11
11
00
10
00
00
00
11
11
00
11
00
00
10
10
10
00
00
00
10
10
01
10
10
00
10
01
11
10
00
00
10
01
00
10
10
00
00
10
00
00
10
00
00
00
11
10
00
00
01
11
11
10
00
10
11
01
00
00
11
00
00
10
11
10
10
10
00
01
11
10
10
10
10
00
10
00
11
00
00
11
11
11
00
01
01
00
01
10
11
00
10
00
00
11
10
11
00
00
10
10
10
01
00
11
11
00
00
00
10
10
00
01
00
10
10
00
11
10
01
00
00
11
01
01
11
10
10
00
01
11
11
00
10
10
00
01
00
11
10
00
01
10
11
10
10
01
00
10
00
01
10
11
01
11
10
00
00
00
11
00
00
10
00
01
01
00
00
00
00
11
11
11
11
00
01
10
10
00
01
10
10
00
01
00
10
01
10
00
00
10
01
11
11
00
01
00
11
11
10
10
00
00
11
00
01
10
10
00
10
11
10
01
00
00
00
00
11
00
00
11
10
01
00
00
01
00
11
01
00
10
11
00
00
10
10
10
00
00
10
00
00
00
10
00
00
10
10
00
11
00
10
11
00
01
10
10
01
00
00
10
00
01
10
11
10
10
10
01
10
10
10
00
00
01
00
10
11
00
10
00
10
10
11
00
01
01
01
11
11
00
11
11
01
10
10
01
00
00
10
10
01
10
00
01
01
10
00
10
11
10
01
00
11
01
10
00
11
11
00
01
11
10
01
00
10
11
10
01
01
01
10
10
01
10
00
00
11
11
00
00
10
10
00
00
10
01
10
00
00
01
00
01
00
10
11
01
00
10
10
00
00
10
10
10
00
00
10
10
01
00
00
00
10
10
10
00
01
10
10
00
00
11
10
11
10
11
00
10
00
00
00
10
01
00
00
00
00
00
00
00
10
01
00
10
00
10
00
01
11
10
00
00
00
11
10
01
10
00
11
11
00
10
10
00
00
10
10
00
10
10
11
10
00
11
00
10
00
01
00
01
10
11
00
00
00
10
10
11
01
00
00
10
11
10
10
11
01
10
00
00
00
10
10
00
10
10
00
00
00
01
10
11
00
01
10
00
00
11
11
01
00
11
00
00
00
11
10
00
00
10
00
00
00
00
00
00
00
00
11
11
01
11
01
10
10
00
11
00
00
10
00
10
01
01
10
00
10
00
01
10
10
00
11
11
10
10
10
00
00
10
00
10
00
11
01
11
11
10
01
00
00
10
00
00
10
00
11
10
01
11
01
10
00
01
00
00
00
10
10
10
10
11
11
00
11
10
00
00
10
00
01
11
10
00
01
10
10
11
11
10
10
00
00
11
11
10
00
00
10
00
00
01
11
10
00
10
10
00
00
10
10
00
00
01
00
00
00
10
00
01
01
11
10
00
10
11
10
01
00
11
11
00
10
00
00
11
10
10
00
00
10
10
11
00
00
00
00
01
11
10
11
00
00
10
00
10
01
11
11
01
10
01
00
00
00
11
00
10
10
00
11
10
10
00
10
00
11
00
10
00
00
10
00
00
00
10
01
11
10
10
11
01
11
00
01
10
01
01
11
00
01
11
10
00
00
10
00
11
10
10
10
00
01
11
10
00
10
11
10
01
01
10
11
01
01
10
11
10
00
10
11
00
00
00
10
11
00
00
00
00
00
10
11
00
00
00
00
10
00
00
10
10
01
10
11
01
10
01
11
00
01
11
01
00
10
11
10
11
00
00
10
10
10
00
00
10
11
00
00
01
10
01
11
01
00
10
10
00
10
11
11
00
00
11
00
10
01
01
01
10
01
00
11
00
10
00
00
10
11
11
00
10
10
11
00
11
00
01
10
10
00
10
11
00
11
11
01
00
10
00
10
10
10
00
01
10
11
11
11
00
00
00
11
00
00
10
10
10
00
01
10
11
00
10
01
10
10
01
10
10
00
00
10
01
10
00
00
10
01
01
10
11
01
00
00
10
10
00
10
00
00
11
00
10
10
00
00
11
10
10
10
00
10
01
10
11
11
10
01
01
00
10
10
00
00
00
00
10
10
00
10
10
00
10
10
11
10
10
10
10
11
01
10
01
00
00
10
00
10
01
10
11
01
10
10
11
00
00
11
11
01
01
01
11
00
10
10
00
00
11
10
01
11
00
01
10
01
10
00
00
01
00
10
10
00
01
10
00
00
00
00
11
01
10
10
01
00
10
00
10
00
11
10
00
11
10
00
00
00
00
00
01
01
01
11
10
00
00
10
10
11
01
01
11
10
10
11
01
00
00
11
01
10
10
10
01
11
00
00
00
00
11
11
10
00
10
10
00
10
00
01
00
10
00
01
11
10
11
11
10
10
00
10
00
00
11
10
00
11
10
10
10
10
00
00
01
01
00
10
01
10
10
01
11
01
10
01
10
00
10
00
10
00
00
10
01
11
11
10
10
01
10
00
11
01
01
10
11
01
00
11
10
11
00
01
10
10
00
00
10
11
00
00
10
10
10
01
01
11
10
00
10
00
00
10
10
00
10
11
01
01
01
00
10
10
11
11
11
00
01
10
00
00
10
11
00
00
10
10
01
11
10
10
00
00
10
00
10
11
01
00
10
11
11
11
10
00
11
01
10
10
00
00
10
11
00
10
10
00
00
10
00
00
10
11
01
01
10
10
11
10
00
10
11
11
10
10
01
01
01
00
00
10
10
00
10
10
00
10
11
10
00
01
01
01
00
00
10
00
00
10
01
01
10
10
01
00
01
00
01
11
10
00
01
01
10
00
00
00
00
11
00
10
10
01
11
01
10
10
00
11
01
11
10
00
00
00
10
10
01
00
00
10
11
01
10
01
10
10
10
10
01
01
10
10
10
01
01
10
10
01
10
11
00
10
00
10
10
00
00
01
00
00
10
11
10
01
00
10
00
01
00
01
00
11
01
01
00
10
10
00
00
10
10
00
11
10
00
11
00
01
11
00
10
00
00
01
00
11
00
10
11
01
10
01
10
11
00
10
00
10
10
00
11
10
01
10
10
00
11
01
00
11
11
10
01
00
10
00
10
11
01
00
11
10
01
10
00
00
01
10
11
00
00
10
10
10
10
10
10
10
01
01
10
00
10
11
01
01
11
11
00
00
00
00
10
10
01
00
11
10
01
11
10
11
00
10
10
11
00
11
00
00
01
00
10
00
10
10
10
01
11
01
00
00
00
11
00
01
01
10
00
10
10
01
10
11
10
11
01
00
10
10
00
01
00
11
00
01
10
00
01
10
10
00
01
00
00
01
10
11
10
00
00
11
11
11
11
00
00
10
10
00
10
10
00
00
00
01
11
10
00
10
11
10
11
01
10
00
01
00
10
00
00
10
10
11
10
10
00
00
10
00
10
01
00
11
11
10
01
00
10
11
11
01
10
11
01
10
11
11
00
00
10
11
01
10
10
11
10
01
01
00
00
01
11
00
00
10
11
01
11
10
00
00
10
00
10
11
00
01
00
11
10
00
10
10
10
00
00
11
01
00
11
00
10
00
00
01
01
10
10
10
10
10
11
00
00
01
11
10
00
00
10
00
01
10
10
00
00
11
10
00
00
11
10
01
00
11
00
11
01
10
10
00
00
10
00
11
10
10
01
10
00
10
10
01
01
01
10
00
00
10
10
00
11
00
00
00
00
00
11
11
10
00
00
00
00
10
11
00
00
10
00
00
00
10
10
00
00
11
00
01
00
10
10
00
01
00
01
10
10
11
00
00
00
11
10
00
00
01
00
00
00
10
00
11
00
01
10
01
00
10
10
11
10
01
11
10
11
00
10
10
01
01
10
00
00
10
11
00
00
10
10
01
11
00
00
01
00
00
11
10
11
00
00
10
10
00
00
10
00
10
10
10
00
10
10
11
00
00
10
00
01
00
01
00
11
00
00
10
10
00
01
00
11
00
01
10
10
11
00
00
10
00
00
00
10
10
11
01
00
11
01
10
00
00
00
10
11
00
10
11
10
10
10
10
00
10
11
01
01
10
11
10
01
11
11
10
00
11
10
10
00
00
10
10
01
00
00
00
00
00
10
00
10
00
00
10
10
10
11
10
00
11
00
00
10
10
10
00
00
11
00
00
00
00
11
10
00
00
00
00
00
10
10
11
10
10
00
00
10
10
10
10
00
10
11
01
11
10
11
01
00
00
10
01
00
10
10
10
00
00
10
11
10
01
00
01
00
00
10
10
10
00
01
11
01
01
11
10
00
01
11
01
01
00
10
00
00
11
10
00
00
10
10
01
00
10
11
00
00
11
10
10
11
00
11
10
11
00
00
10
01
10
11
00
00
10
00
10
01
10
11
00
01
10
11
01
00
11
10
01
00
11
00
00
10
10
01
10
10
00
00
00
10
00
01
11
11
10
10
00
00
00
01
10
11
00
00
10
11
01
10
10
00
00
11
11
10
10
10
10
10
10
11
01
00
00
00
10
11
10
00
00
01
11
00
11
00
10
10
11
01
01
10
10
10
01
00
00
01
00
11
11
00
11
00
01
00
00
10
10
01
00
10
11
10
10
10
00
00
01
00
11
11
10
00
00
00
10
00
01
11
01
10
00
11
10
11
00
01
10
11
00
00
01
10
01
01
10
11
00
10
10
00
10
10
00
01
10
11
01
01
10
00
10
01
00
10
10
01
10
00
01
00
10
10
10
11
00
10
10
00
10
01
10
00
01
10
01
01
00
10
11
00
11
00
00
10
00
11
01
00
10
01
01
00
00
10
10
01
00
00
00
10
01
10
10
11
10
01
01
00
00
00
10
11
10
01
10
10
00
10
00
01
01
01
10
10
00
00
11
10
00
00
10
10
11
10
11
00
00
10
00
10
00
01
10
10
00
10
10
01
11
01
11
10
00
00
11
01
11
10
00
00
10
10
10
00
00
00
10
11
00
01
10
11
10
01
00
00
11
00
01
11
11
01
01
10
10
10
01
01
00
11
10
00
01
11
11
00
00
11
00
01
10
00
01
10
01
10
01
00
01
00
10
10
00
00
00
11
10
10
10
00
00
00
00
10
11
01
00
10
11
00
10
10
00
00
10
00
01
01
10
00
00
01
00
11
00
11
10
10
10
00
10
00
00
10
11
00
10
10
01
11
11
01
00
01
01
01
10
10
00
00
00
10
10
00
10
00
00
01
00
10
10
00
10
10
00
10
00
00
00
10
10
00
00
00
00
01
10
00
10
10
11
11
01
00
00
10
11
00
00
11
10
10
10
00
01
01
10
10
11
00
01
10
10
00
11
00
10
10
10
00
00
01
10
00
01
11
11
01
00
10
10
00
00
10
10
00
10
10
00
10
10
00
00
11
10
01
10
10
11
10
10
01
00
10
01
10
11
11
00
10
00
11
11
01
00
11
11
00
10
10
00
10
10
01
11
01
00
01
01
10
00
00
10
10
10
00
01
01
11
10
10
01
11
00
00
00
10
00
01
00
11
00
01
11
00
00
01
00
00
00
10
10
11
10
00
11
01
10
10
10
00
10
10
00
10
00
00
00
00
10
01
01
01
11
10
01
00
10
01
10
10
00
11
10
00
00
11
01
00
10
00
00
10
10
00
00
11
10
10
10
00
10
01
00
10
10
01
11
01
00
10
01
11
01
00
00
10
01
10
11
10
10
00
10
00
01
00
10
10
00
01
00
11
11
00
00
00
10
00
01
10
11
00
00
10
00
01
10
00
01
10
10
10
10
10
11
00
11
00
11
10
01
00
01
10
10
10
11
10
00
01
10
00
10
00
10
11
00
10
00
01
11
10
01
11
00
01
01
01
10
11
00
11
00
00
10
10
10
10
10
00
00
00
10
00
00
11
00
10
01
10
11
10
11
00
10
10
01
00
00
00
11
11
11
00
01
10
00
01
00
10
10
01
00
00
10
01
00
00
00
01
01
00
00
00
00
10
00
10
10
10
00
11
00
01
01
11
10
00
00
10
11
00
00
11
11
11
10
00
00
00
10
00
01
00
00
10
10
01
00
10
01
00
00
00
10
00
00
10
00
00
10
00
00
11
00
10
00
11
10
11
00
10
01
10
10
10
11
00
01
11
01
11
10
00
10
00
10
11
00
00
11
00
00
10
10
00
01
00
10
10
10
11
11
11
01
00
00
00
10
00
11
10
00
10
00
00
10
10
10
10
00
00
11
11
00
11
11
11
10
00
10
11
10
00
11
10
00
01
00
00
10
11
00
00
10
10
11
01
00
00
10
00
10
10
01
01
01
11
00
00
00
10
10
00
10
00
00
10
11
10
10
10
01
00
10
10
10
00
10
01
11
11
11
00
00
00
00
00
11
00
10
00
01
01
00
10
10
10
00
00
11
01
01
00
11
10
00
00
00
11
10
01
11
00
00
10
00
01
01
11
11
01
01
11
01
00
01
10
11
10
00
01
11
01
01
00
10
00
00
00
11
10
00
11
00
10
00
00
01
10
11
01
10
10
00
01
10
11
10
00
01
10
00
00
00
11
00
00
00
10
11
11
11
00
00
00
01
00
00
00
10
10
10
10
10
10
11
00
10
10
10
10
00
00
10
00
10
00
10
10
00
11
11
10
01
11
10
10
00
10
00
01
00
00
11
11
10
00
00
11
11
10
00
00
10
00
10
10
11
00
11
11
10
10
00
00
00
00
00
10
00
00
11
01
00
11
10
00
00
01
10
01
11
10
01
00
00
00
00
01
11
11
01
10
00
10
10
01
01
01
10
11
10
10
10
01
10
00
10
11
00
10
11
01
00
00
10
10
00
00
11
10
00
10
00
00
10
00
10
10
00
10
10
00
10
10
01
11
01
00
00
11
01
10
00
10
00
10
00
00
11
11
00
01
01
10
00
01
00
10
10
00
10
10
01
00
00
11
10
10
11
10
10
00
10
11
00
00
01
10
00
01
10
10
11
00
10
11
10
00
10
00
00
01
01
10
10
01
00
11
01
11
00
01
10
10
10
01
00
10
00
10
11
00
11
10
11
01
00
00
10
01
01
01
10
10
10
00
10
00
00
10
00
00
01
11
00
00
00
10
00
10
10
11
10
10
10
00
11
00
11
10
11
10
00
01
01
01
00
00
10
11
10
01
00
00
00
10
10
00
00
10
10
00
00
01
00
10
01
11
00
01
01
00
11
00
00
11
10
00
10
01
01
00
01
10
00
00
11
00
00
10
10
10
01
00
11
11
10
11
10
01
01
01
10
10
00
10
00
00
10
00
10
10
11
01
00
10
10
10
11
00
10
00
10
11
01
11
10
10
11
11
10
00
10
11
00
11
10
00
10
10
11
10
11
00
10
01
00
11
10
10
01
00
10
00
10
10
11
10
10
01
01
10
00
01
00
10
11
10
01
00
10
10
00
01
00
10
01
01
10
01
00
00
10
01
00
10
11
00
00
10
10
11
01
11
11
10
00
01
00
10
01
00
11
00
00
11
00
10
01
01
10
10
01
00
00
00
00
10
00
11
10
11
10
10
11
10
00
00
11
10
10
01
01
00
00
00
11
00
01
10
10
01
01
10
10
00
00
11
00
01
11
10
10
00
00
10
10
00
00
10
11
11
00
11
11
10
00
00
10
01
01
10
01
01
10
10
00
10
00
11
10
00
10
10
10
01
11
10
10
00
10
11
10
11
10
01
10
10
01
01
00
10
10
10
00
10
10
00
00
00
00
00
01
11
00
00
00
10
10
10
11
00
01
00
10
10
01
00
10
10
01
10
00
10
01
00
11
00
00
10
01
00
10
00
00
11
00
10
10
10
00
10
00
10
10
00
00
00
10
11
10
01
11
01
11
10
10
10
01
00
10
10
11
00
00
10
00
00
10
10
00
00
00
00
10
11
11
10
00
00
10
00
01
10
00
00
11
10
00
00
01
11
01
01
00
11
11
01
10
10
00
11
10
00
01
10
11
10
10
00
10
11
00
10
11
11
00
00
00
01
10
10
01
10
10
01
01
00
00
10
10
10
01
11
00
00
00
10
00
01
10
10
10
01
00
11
10
00
00
10
10
01
00
11
00
00
11
01
01
01
00
10
00
01
00
00
10
10
10
00
10
10
00
01
11
10
00
00
10
11
01
00
11
10
10
00
11
00
00
10
10
10
00
00
11
01
11
11
01
10
00
11
01
10
10
00
00
10
01
10
11
00
00
10
11
10
00
00
00
11
00
10
11
10
10
00
00
01
00
11
01
10
11
00
10
10
10
01
10
11
00
00
10
01
01
00
00
10
01
10
00
00
11
01
11
00
01
01
10
11
01
10
10
10
11
00
10
11
10
00
01
10
00
00
11
10
10
10
00
01
10
00
10
10
00
00
00
10
10
10
10
10
00
11
11
00
01
10
10
01
01
10
00
11
01
00
11
01
11
00
10
10
01
00
10
00
10
00
00
00
10
01
00
10
00
00
10
10
11
10
01
11
10
11
11
01
10
10
01
10
11
00
01
10
01
00
00
00
11
01
10
10
10
10
00
01
00
00
01
10
00
00
01
11
10
10
00
00
00
11
00
01
11
00
01
00
10
10
00
01
01
01
11
11
10
01
00
01
00
10
10
01
10
10
00
00
00
00
00
11
11
00
11
00
10
00
00
10
01
00
00
01
00
01
11
11
00
11
10
00
00
10
10
01
01
10
01
00
11
10
00
10
10
10
01
01
10
11
11
10
00
01
00
00
01
11
10
00
01
00
00
01
10
11
00
00
10
10
00
01
11
10
01
10
01
10
01
10
10
00
01
00
01
10
10
00
00
11
10
00
00
00
00
11
00
10
00
00
10
10
11
00
10
01
10
11
00
00
10
10
10
10
01
00
00
11
00
10
10
00
00
00
10
10
11
00
11
00
10
01
00
01
01
10
10
10
10
11
01
00
00
10
01
10
11
01
10
11
01
11
11
01
01
11
00
10
10
00
00
11
10
10
10
10
01
00
11
00
11
10
10
01
01
01
00
10
10
01
11
00
01
10
00
11
00
01
10
10
00
10
10
10
01
01
10
11
00
01
00
10
11
10
11
00
00
10
01
10
00
00
10
01
10
01
01
10
10
10
11
00
00
10
10
00
10
00
00
01
11
10
10
10
10
01
01
10
10
10
10
10
10
00
00
10
00
00
00
10
00
01
11
11
11
10
01
11
10
00
11
10
00
00
00
10
11
10
00
00
10
01
10
10
10
01
10
01
00
10
01
01
01
00
10
00
11
00
11
10
01
00
00
00
00
10
10
10
01
10
10
01
00
00
10
00
00
10
00
11
01
11
00
10
00
00
10
00
11
10
10
00
10
11
00
11
00
00
10
01
01
00
10
10
11
10
11
10
01
00
10
10
01
10
10
00
00
11
10
00
00
11
10
11
11
00
10
00
11
11
11
00
00
10
10
00
01
11
10
10
00
01
00
10
10
00
00
11
10
11
10
00
00
11
00
01
01
11
01
11
10
00
11
00
10
01
11
10
00
01
10
00
11
11
00
01
11
11
10
01
01
01
10
10
10
10
10
01
01
10
10
11
11
00
10
10
01
10
01
00
11
10
00
11
01
01
10
11
00
11
10
10
00
01
10
10
00
01
11
11
10
00
01
10
00
01
10
11
10
10
00
10
00
00
10
10
10
11
10
01
10
11
10
10
10
00
10
10
10
00
11
10
00
00
10
01
01
01
01
11
10
01
10
10
01
00
10
10
00
11
11
10
00
01
10
00
00
10
10
10
10
10
01
00
01
10
00
01
10
00
00
10
10
00
11
10
01
00
01
10
11
00
00
10
10
10
00
01
10
11
10
10
10
00
10
10
01
00
11
01
10
11
00
01
00
10
10
00
11
11
11
00
00
10
00
00
01
10
10
10
10
11
00
01
10
00
01
00
11
11
01
10
00
11
00
00
11
01
00
00
00
10
11
00
11
00
00
01
11
00
00
10
11
00
00
10
11
01
10
10
00
00
00
01
10
01
01
10
10
10
10
11
10
01
00
10
00
11
01
11
00
00
00
10
00
00
00
10
11
10
11
00
10
00
01
10
10
10
00
10
00
10
00
00
00
00
11
01
10
01
10
01
10
00
00
01
10
01
10
10
00
01
10
00
00
10
00
10
01
11
01
10
00
10
11
01
00
01
11
10
00
01
11
00
10
11
10
10
01
00
00
10
10
10
00
01
00
11
10
00
00
00
00
11
10
01
01
10
10
01
10
11
10
00
01
11
11
10
10
00
00
10
11
00
00
01
00
10
00
10
00
00
10
01
11
10
10
10
10
01
00
10
10
00
00
10
00
10
11
10
00
10
11
00
00
01
10
10
00
01
10
10
00
00
00
11
00
10
10
01
00
11
00
00
10
11
01
01
00
10
10
10
10
10
01
10
10
10
11
11
11
00
01
01
11
01
11
10
00
10
10
01
00
10
10
00
00
10
00
00
00
01
00
10
10
00
01
11
11
11
01
00
10
00
10
10
01
00
11
10
10
10
00
11
10
00
10
00
10
11
11
01
11
00
10
00
00
10
10
00
01
00
11
00
00
10
10
01
00
01
11
01
00
00
10
10
00
00
10
00
00
00
10
00
10
10
11
10
00
00
10
11
10
01
00
10
11
10
11
10
11
01
00
10
10
10
01
11
10
00
00
10
00
00
11
11
01
10
01
00
11
10
10
01
01
00
00
01
10
10
11
01
00
00
10
10
10
00
11
11
11
10
00
01
00
00
01
00
00
10
10
11
10
10
00
00
11
10
00
00
10
01
10
00
10
11
00
11
11
01
11
00
00
10
01
00
01
10
10
00
00
01
01
01
10
10
11
00
11
00
00
10
10
10
01
00
00
10
01
00
10
10
10
11
10
00
01
10
10
11
11
00
10
01
10
10
00
10
01
10
01
01
01
01
10
00
00
00
11
11
00
00
10
00
00
00
00
10
10
10
01
10
10
00
01
10
10
10
00
10
11
01
00
10
11
00
11
10
11
00
00
00
00
01
10
10
00
01
10
10
11
01
01
11
01
11
11
00
00
01
11
01
00
11
10
01
01
00
01
00
10
10
01
00
01
00
10
10
01
10
00
10
10
11
00
00
00
00
10
00
00
10
10
01
01
00
00
10
00
00
10
10
01
10
10
00
11
11
10
10
11
01
10
10
00
00
00
10
11
10
00
10
00
01
10
00
00
01
00
01
11
00
00
11
10
10
00
11
00
00
11
11
01
11
01
00
10
00
11
10
01
00
01
10
10
01
00
10
11
00
00
10
10
10
01
01
00
11
00
10
00
00
10
00
00
10
10
01
00
10
10
10
00
10
11
00
10
11
00
00
10
11
00
00
00
00
00
10
10
10
11
00
11
00
10
10
01
01
00
00
10
11
01
01
01
11
00
11
00
10
10
00
10
10
11
00
10
10
00
10
01
11
11
01
00
00
10
00
00
00
10
10
10
00
00
00
00
11
00
11
10
10
10
11
01
00
00
01
00
01
10
00
00
11
00
11
00
01
10
01
11
10
01
00
00
10
00
00
11
01
00
10
01
01
11
10
11
10
01
00
10
00
00
11
10
00
01
00
11
11
00
00
10
10
00
10
10
10
10
01
10
10
00
00
10
11
10
00
10
10
11
10
01
00
01
10
11
10
10
10
00
10
01
00
11
00
10
11
10
00
00
00
00
11
10
11
00
00
10
10
11
00
11
10
00
10
10
10
01
00
10
10
11
10
00
10
01
10
10
00
10
00
00
10
01
01
00
10
01
00
11
00
10
00
11
11
10
10
00
00
00
00
00
10
10
01
01
11
00
10
00
00
10
01
00
10
10
00
10
00
00
00
01
00
11
11
01
00
10
00
01
00
10
11
00
10
10
00
11
11
01
00
10
00
11
01
01
01
10
11
00
11
00
00
11
10
00
00
00
11
00
10
00
10
10
00
10
00
00
10
11
00
10
10
11
00
00
10
11
00
10
11
00
00
01
00
11
00
10
10
10
10
10
00
01
00
10
10
11
10
10
00
01
11
10
00
01
10
10
11
00
11
00
00
01
10
10
01
00
01
00
01
10
10
01
10
01
10
00
01
10
01
10
00
00
11
11
00
01
00
10
00
01
10
01
00
11
11
00
00
00
11
00
01
11
00
00
10
10
10
01
11
11
10
00
00
00
00
11
10
00
10
10
01
00
11
00
11
01
10
10
10
10
01
10
00
11
10
00
11
00
01
11
00
00
00
10
10
01
01
01
00
11
00
10
10
00
00
10
01
11
10
10
01
11
11
01
10
10
11
10
01
10
00
00
10
10
10
10
00
10
00
10
10
00
11
01
00
10
11
00
00
10
10
00
10
10
10
00
01
10
01
00
11
01
10
00
00
10
11
01
10
00
10
10
10
11
00
01
00
01
01
01
10
11
10
00
00
10
11
01
11
10
00
11
01
00
10
00
00
10
00
00
11
01
10
01
10
01
00
11
00
00
01
00
11
11
01
10
00
10
10
10
01
10
00
11
11
00
00
11
00
00
11
11
10
11
00
00
00
00
00
10
00
10
10
01
00
01
01
10
10
11
00
00
10
10
10
00
01
11
00
11
10
00
01
10
00
10
10
01
00
00
10
00
11
11
10
00
00
00
11
00
11
10
01
00
11
00
11
00
00
00
11
10
01
11
11
01
00
10
00
01
01
10
11
00
00
10
00
01
10
01
10
10
00
10
01
00
10
10
11
10
10
00
00
01
11
10
00
11
10
00
00
11
00
01
10
00
01
00
00
11
00
00
01
10
00
00
11
10
11
10
00
00
10
01
00
10
10
10
11
00
10
10
10
01
01
01
00
00
01
10
10
00
11
10
01
11
00
10
11
11
00
11
10
10
11
00
00
01
10
10
00
00
10
00
01
10
01
11
10
01
00
10
01
00
01
00
10
10
01
01
11
10
10
00
00
11
01
01
10
11
10
10
00
00
01
01
10
10
10
11
10
10
01
10
10
01
10
00
00
10
11
10
01
00
10
00
10
00
01
00
10
00
10
00
10
00
00
10
10
11
10
11
11
00
00
00
00
10
01
00
00
00
10
10
10
00
11
00
11
10
00
11
10
10
11
00
01
00
00
10
10
00
01
11
01
00
10
00
11
11
11
10
11
01
01
10
00
10
11
00
10
11
00
00
10
00
11
00
11
10
11
00
10
10
01
00
10
10
00
11
00
01
10
00
00
00
10
10
00
10
10
00
10
10
01
00
10
10
01
00
01
01
00
00
01
10
00
10
10
10
11
10
11
10
00
01
10
00
00
00
10
11
00
11
00
10
11
11
00
11
10
00
11
00
00
00
10
10
00
00
00
11
11
00
10
00
10
10
10
00
00
10
10
00
10
00
10
10
00
01
10
01
10
00
10
00
10
10
00
10
01
00
01
00
00
10
11
00
00
10
11
10
10
10
10
10
11
01
00
01
10
10
10
00
00
10
00
00
00
10
01
00
10
10
11
11
10
01
00
10
01
10
10
01
00
11
00
11
01
00
11
00
00
10
00
00
10
01
10
11
10
01
00
00
00
10
11
01
01
00
10
11
00
11
10
00
00
01
10
10
00
00
10
11
00
00
00
00
00
10
01
10
11
11
01
00
00
01
11
10
10
10
00
11
10
01
01
11
10
00
10
10
00
00
00
10
10
01
00
00
00
00
10
10
11
11
10
10
10
00
01
11
00
11
10
01
00
00
10
00
01
10
11
00
10
10
00
00
00
10
10
10
00
00
10
10
00
11
10
10
10
10
00
00
00
10
01
01
10
01
10
00
01
11
10
01
01
10
00
00
00
01
10
10
00
10
11
01
00
00
11
11
00
00
10
10
00
11
10
10
00
10
01
10
01
11
11
00
00
10
10
00
01
01
10
10
00
10
00
00
11
00
10
11
10
00
00
00
01
10
10
00
01
10
00
00
11
10
01
10
10
10
00
01
00
11
00
10
10
01
01
01
10
11
00
00
00
00
00
01
10
10
00
01
01
01
01
00
00
00
01
10
10
00
01
00
00
00
10
11
01
00
10
00
11
00
00
10
10
01
01
01
00
00
10
10
00
00
11
10
10
00
00
10
10
10
00
10
11
00
10
00
11
10
01
00
10
00
00
01
00
00
10
00
00
11
01
10
11
11
00
11
10
11
11
01
00
01
11
00
00
10
10
00
01
11
10
01
00
00
10
01
00
01
10
10
10
10
11
01
00
11
01
11
00
00
11
01
11
11
10
00
00
10
10
00
00
11
10
00
00
10
01
01
00
11
10
01
01
00
10
00
11
10
00
10
10
10
00
00
00
00
10
00
11
11
00
01
00
10
00
11
11
01
01
10
01
00
10
10
11
00
10
10
00
00
10
11
00
11
11
01
10
11
10
00
01
01
10
11
10
01
00
00
01
10
00
01
00
11
11
00
01
10
11
00
11
10
11
00
10
11
01
00
01
01
01
00
10
01
10
10
01
11
10
00
01
01
10
10
10
01
00
10
11
01
01
10
00
11
11
11
01
01
10
00
00
00
10
11
01
00
00
10
00
11
11
11
00
10
00
11
11
00
01
00
00
10
10
10
10
10
01
00
11
10
00
00
10
10
00
00
00
11
10
10
01
11
11
00
00
00
11
00
01
11
00
01
01
01
10
10
00
00
01
10
00
00
00
00
11
11
10
10
00
10
01
00
11
10
10
10
00
10
01
10
11
00
00
11
10
00
10
10
00
00
11
00
00
10
01
11
10
00
00
00
10
10
10
00
00
10
10
01
11
00
00
10
00
11
10
00
00
01
11
10
00
10
11
10
10
10
00
00
10
10
00
00
00
11
11
01
10
01
10
00
11
11
01
00
11
10
01
10
00
10
10
00
00
11
11
10
01
11
11
11
00
01
10
10
00
01
11
01
00
00
10
10
10
11
00
10
10
00
10
01
00
01
10
11
00
00
10
00
10
10
00
00
00
10
10
10
00
00
10
00
10
01
01
11
01
11
10
01
00
11
11
00
00
10
10
01
00
10
00
00
11
11
10
00
01
11
11
01
00
10
11
00
00
11
11
00
00
11
10
00
00
10
00
00
11
00
00
00
11
10
11
01
01
11
01
01
11
10
00
11
10
10
00
11
10
01
00
00
01
01
01
10
01
10
10
00
00
11
11
00
00
10
00
10
00
00
10
00
10
10
01
11
10
00
00
10
00
01
11
10
00
01
10
11
00
11
00
11
10
00
01
00
00
10
00
10
10
00
00
11
00
00
10
11
01
10
11
00
01
10
10
01
01
10
10
10
10
11
00
10
00
00
00
01
10
10
10
10
00
01
00
00
10
10
11
11
10
10
11
00
00
10
10
00
10
11
00
00
00
10
00
00
00
00
10
10
11
00
10
10
00
00
11
10
01
00
11
00
00
00
10
00
01
10
10
10
11
11
00
00
00
00
01
00
10
00
01
10
10
01
00
11
10
00
10
11
00
11
10
00
01
01
01
11
01
01
10
01
10
10
11
00
00
11
10
00
00
10
01
10
10
10
10
00
11
00
00
10
11
10
10
00
01
00
10
10
10
00
00
10
10
00
10
11
00
10
00
11
11
01
10
00
00
11
10
00
01
11
01
00
10
00
10
00
00
10
10
00
00
00
10
11
10
10
10
11
01
01
10
10
10
00
00
00
11
10
01
00
01
00
00
00
10
10
00
10
00
11
10
11
00
00
10
00
10
00
11
10
00
01
10
01
10
00
10
10
10
10
00
10
10
10
00
10
00
11
00
01
00
11
01
11
11
01
00
11
10
01
10
00
00
11
11
00
00
11
00
10
10
00
10
10
00
11
00
00
00
01
01
00
11
01
01
00
11
11
00
01
10
11
00
11
11
01
00
01
00
00
01
00
10
11
10
00
11
10
00
10
01
10
11
00
10
10
00
10
10
11
00
01
00
00
01
00
10
11
10
00
11
10
11
10
00
00
00
10
00
00
10
00
00
01
10
00
11
11
01
01
00
00
10
00
00
10
10
01
00
11
00
10
11
10
11
11
10
01
10
11
10
00
00
10
01
10
00
00
01
10
01
01
10
00
10
00
00
11
10
10
10
00
00
10
00
00
10
00
01
10
10
00
01
00
01
10
01
00
10
11
10
10
00
00
10
10
00
11
11
01
00
00
10
11
10
01
01
10
01
00
11
01
10
10
11
11
10
01
00
00
10
00
11
00
01
11
10
11
00
00
00
11
00
00
11
00
10
00
10
11
11
00
01
11
10
10
10
00
01
10
00
11
11
11
10
10
01
10
10
01
00
10
00
01
10
10
10
01
01
11
00
00
11
10
10
11
01
10
10
00
01
10
00
01
11
00
01
10
10
01
10
01
00
00
10
00
01
00
10
10
11
00
11
10
10
00
01
10
00
10
00
10
10
01
10
01
10
10
00
00
11
11
10
01
10
01
00
00
10
10
01
10
10
00
10
10
10
11
01
01
01
11
10
01
00
11
11
00
00
10
10
01
00
00
10
10
00
10
10
01
00
00
10
10
10
11
00
01
00
00
10
10
00
10
01
10
10
01
11
00
01
10
10
00
01
11
10
11
00
10
00
00
10
00
10
00
00
00
11
10
01
00
00
11
01
10
00
11
00
11
10
01
10
11
00
00
10
11
01
01
11
11
01
10
00
10
00
00
10
00
10
10
01
00
11
10
10
10
00
01
10
00
00
00
10
10
10
11
10
00
01
00
10
00
00
00
11
00
10
10
00
11
00
01
00
11
00
01
00
10
00
11
10
00
10
10
00
00
00
00
00
10
11
00
11
00
01
11
10
00
00
11
10
00
00
01
10
11
11
10
01
10
01
10
00
01
00
00
10
00
00
10
00
11
11
11
01
00
00
00
10
00
00
10
11
00
11
10
10
01
10
01
00
10
00
00
10
10
11
00
01
01
10
10
00
00
11
11
01
11
00
10
01
00
11
01
00
10
00
10
00
00
10
10
10
00
10
00
01
01
10
11
10
01
10
01
00
10
10
01
10
10
01
11
10
10
10
00
10
10
00
11
11
00
10
00
11
00
10
10
10
10
01
00
00
00
10
10
11
10
10
10
11
10
00
01
11
10
11
01
00
10
11
10
10
00
01
00
10
00
00
00
01
00
10
00
01
10
00
10
00
00
00
10
11
11
11
01
10
00
10
11
10
00
00
00
00
10
00
10
10
10
10
00
11
11
10
10
01
01
10
10
00
11
11
10
10
00
01
11
10
00
01
11
10
00
01
10
10
00
10
10
01
00
00
00
10
00
01
00
01
10
01
10
11
01
10
00
00
00
00
10
10
10
10
11
00
10
01
00
10
01
01
01
10
10
11
10
00
10
00
00
11
10
00
00
00
00
11
00
10
00
00
01
10
01
11
11
10
11
00
10
11
10
00
01
11
10
10
00
00
10
00
00
10
10
11
01
00
00
10
10
10
00
00
10
10
00
10
00
00
00
10
01
00
00
00
10
01
11
00
00
10
10
10
10
00
10
10
01
00
11
00
11
10
11
10
01
10
11
10
00
00
11
00
01
00
10
00
00
10
10
11
00
10
00
11
00
01
00
11
01
00
00
10
01
00
01
10
10
00
00
00
10
01
00
11
00
01
00
11
10
11
00
01
00
01
01
11
00
01
00
10
10
01
10
10
00
01
11
00
10
00
11
00
10
11
11
10
01
10
01
10
00
00
00
01
00
00
10
11
00
10
01
10
00
00
00
11
11
00
00
10
00
00
10
10
11
01
11
00
01
00
00
11
10
11
10
11
11
10
00
10
10
01
10
10
11
10
00
00
01
11
00
00
11
01
11
10
10
11
00
01
10
01
00
10
00
10
00
10
10
00
00
00
01
01
11
11
01
00
00
00
00
10
11
00
00
00
10
01
00
11
10
10
11
10
00
11
10
01
00
01
10
10
10
10
01
11
10
11
10
00
00
10
10
00
01
10
10
00
10
10
10
11
11
00
01
10
00
01
00
11
00
10
00
00
10
10
11
00
01
11
10
10
10
11
11
11
01
11
10
00
01
01
10
01
00
11
00
00
10
10
00
00
01
01
11
10
10
00
01
11
11
11
10
11
10
00
01
00
10
11
11
00
01
11
01
00
10
01
01
00
10
11
01
01
10
10
00
00
10
10
10
00
01
10
10
00
00
11
00
00
10
00
01
10
11
00
10
10
00
10
01
11
10
10
00
00
00
10
00
00
10
10
11
00
10
10
10
00
00
00
10
11
01
00
11
10
00
10
00
00
10
11
00
10
10
10
01
10
00
01
00
10
11
00
00
10
00
10
01
00
10
01
00
00
10
10
10
00
10
01
01
10
01
01
10
10
10
10
00
11
10
01
01
10
00
00
00
11
10
00
01
10
01
00
00
10
00
11
10
01
00
10
10
00
10
10
00
01
01
11
00
01
11
10
01
10
10
01
00
10
00
10
01
01
01
10
00
11
10
00
10
10
10
00
11
01
10
10
00
00
00
00
10
10
10
11
01
11
01
11
01
11
10
10
00
00
10
00
11
10
00
11
11
00
10
00
01
10
01
00
10
11
00
11
00
11
10
10
00
10
01
01
10
10
11
00
00
00
11
10
00
10
10
11
00
10
00
00
11
01
11
11
10
11
00
11
00
01
10
10
00
00
11
10
10
00
00
11
11
01
01
10
10
10
10
00
10
10
00
10
10
00
00
10
01
10
10
00
00
00
01
00
10
01
00
11
00
00
10
11
00
10
10
01
11
11
10
10
01
00
01
00
11
01
00
00
00
10
10
00
01
10
01
10
00
01
00
00
11
00
01
10
00
01
10
00
01
00
10
10
11
10
00
00
00
00
01
01
10
01
10
10
11
00
00
00
11
11
11
10
10
10
11
00
01
11
01
10
10
10
01
10
00
00
11
10
11
00
10
10
00
10
00
10
10
11
01
00
00
11
00
10
00
10
11
00
10
10
00
10
00
10
01
10
01
11
10
10
10
10
10
01
00
00
10
10
10
10
10
10
10
01
10
11
01
10
00
00
01
10
00
00
11
11
00
11
10
11
00
00
10
10
00
00
10
10
00
01
11
10
10
01
00
10
11
10
01
00
00
00
10
10
00
10
11
00
00
00
10
10
00
10
10
01
00
00
11
11
00
00
01
11
11
10
10
00
00
00
10
10
00
10
00
11
01
11
11
00
10
01
10
10
01
00
10
11
10
00
01
11
10
00
10
11
00
10
11
10
00
00
10
10
00
01
01
10
01
00
00
11
00
10
10
01
00
11
11
00
00
01
10
00
00
10
11
00
00
10
10
01
11
00
00
01
10
10
10
01
00
00
10
10
00
01
00
01
00
10
11
10
00
10
10
01
10
01
00
00
10
10
10
00
11
10
10
01
00
00
00
10
10
01
01
11
11
01
00
10
00
01
01
11
11
01
10
00
10
01
00
00
10
10
00
00
11
10
00
01
00
00
10
00
00
11
10
00
00
00
11
10
10
01
00
10
10
00
01
10
11
10
00
01
10
10
00
00
01
00
00
10
10
10
11
10
11
10
01
00
00
11
10
11
00
10
10
00
10
11
00
11
00
10
00
10
10
00
00
10
10
01
00
00
11
00
01
11
00
00
00
11
10
00
00
11
11
10
10
00
00
10
00
10
10
00
01
01
10
01
01
00
10
11
11
10
10
00
00
00
10
10
01
11
00
01
00
10
11
11
01
01
11
11
00
00
10
00
00
01
10
10
00
00
00
10
10
00
00
10
11
11
11
10
10
00
01
11
10
01
00
11
00
00
11
11
10
11
01
00
00
01
01
10
01
00
10
10
10
11
11
00
00
11
00
10
10
11
01
01
00
11
00
10
10
00
10
11
00
10
01
00
01
00
10
01
01
10
00
10
10
10
10
10
11
00
10
00
10
10
00
01
10
10
01
00
00
11
00
11
11
10
01
10
10
00
10
10
00
00
11
11
00
00
10
00
10
11
10
00
10
01
00
00
01
11
10
10
00
00
10
11
01
10
11
01
10
01
00
10
10
01
00
11
01
01
10
10
00
01
01
11
11
01
11
01
00
10
10
00
00
10
10
00
01
10
00
00
00
10
00
00
10
10
00
11
00
00
11
10
00
00
01
10
11
00
01
00
00
10
10
00
00
10
00
11
10
10
01
11
00
10
11
01
10
00
10
00
00
10
10
10
01
10
00
01
11
00
11
01
01
10
00
00
10
01
00
01
10
00
01
11
01
01
00
11
10
11
00
01
11
10
01
10
00
00
00
11
00
00
11
11
01
01
10
11
10
01
10
11
01
01
01
10
11
00
10
10
00
10
11
11
10
10
10
01
10
10
10
01
10
01
00
00
00
10
00
10
11
01
10
00
10
00
10
11
00
10
10
11
00
01
10
10
00
10
11
00
00
11
10
00
01
11
01
00
01
10
10
00
10
11
00
11
00
11
01
01
10
00
10
10
00
01
10
10
01
10
11
10
00
00
11
11
10
10
11
10
00
00
00
10
10
01
00
01
11
11
00
11
10
00
00
00
10
10
00
10
10
00
01
00
00
00
10
11
10
01
10
11
01
10
11
01
00
00
11
10
01
00
11
11
10
00
00
10
10
00
01
00
01
11
00
01
00
01
10
11
00
00
10
10
11
00
11
10
00
10
00
00
00
00
10
00
10
00
00
10
01
10
10
10
10
01
10
11
10
10
10
10
00
01
01
10
10
01
00
11
10
10
00
11
01
00
00
10
10
00
00
10
11
11
11
10
00
10
11
00
00
00
10
11
00
10
10
10
00
10
11
00
11
11
01
00
00
11
00
10
11
11
01
01
10
10
10
00
01
01
10
00
00
10
10
10
00
01
01
00
11
11
10
01
00
11
00
01
00
11
10
10
00
01
00
10
00
00
10
10
10
00
10
11
10
00
10
10
00
10
10
00
01
10
01
00
10
10
00
11
11
00
00
00
01
10
10
10
10
11
00
01
10
00
00
00
00
01
01
10
00
01
10
10
10
10
11
00
00
00
10
10
10
00
01
10
10
10
11
01
10
10
00
10
00
10
01
00
11
00
10
10
10
00
01
00
11
10
00
00
00
11
00
10
10
01
10
10
01
00
10
11
01
10
00
01
11
01
01
01
00
11
10
11
00
00
10
01
10
01
10
10
00
10
11
00
10
11
10
10
10
10
11
01
11
01
01
11
10
10
10
00
00
00
11
10
10
10
00
01
00
10
10
10
11
00
10
11
00
00
00
01
10
00
10
10
00
10
11
00
01
10
10
10
00
00
10
00
10
10
00
01
10
01
01
01
01
10
00
10
00
01
10
10
10
00
00
10
11
00
01
00
01
00
01
10
11
10
00
00
10
11
00
11
10
11
11
01
10
00
00
00
00
10
00
00
10
01
10
01
00
00
00
00
00
00
10
10
00
00
00
01
00
10
10
00
00
10
10
10
00
01
00
10
11
01
01
10
10
00
10
11
10
00
00
10
00
10
00
10
11
00
11
10
00
00
00
11
10
00
00
00
10
00
00
11
01
10
11
11
01
10
10
00
00
10
10
10
10
01
11
01
01
00
10
10
00
00
00
00
00
11
00
11
01
00
10
11
00
00
00
10
11
11
11
00
00
10
01
11
00
10
11
00
11
10
00
00
10
00
00
00
10
10
10
00
00
01
01
10
11
00
01
00
10
11
01
11
01
10
10
11
11
01
01
01
10
10
10
11
00
00
01
10
01
00
00
11
00
01
00
00
10
00
00
10
11
01
10
10
00
01
00
00
10
00
00
00
01
10
01
10
10
00
10
10
00
11
10
00
00
01
00
11
10
10
10
11
11
00
00
11
01
01
01
11
10
10
00
00
00
10
11
10
00
11
00
00
10
01
00
01
01
00
10
00
01
10
10
10
10
10
10
01
10
11
01
10
01
00
00
00
11
00
00
01
00
00
01
10
10
10
00
10
11
01
00
10
11
10
10
10
01
00
00
01
01
01
00
00
11
00
00
11
01
01
10
01
10
01
00
10
11
00
11
11
00
01
10
10
01
01
00
00
11
11
10
00
11
00
00
10
11
00
10
10
01
11
11
10
00
01
10
01
10
00
00
00
01
01
00
10
00
10
10
00
10
10
11
00
10
00
10
11
01
10
01
00
10
10
00
01
10
00
00
11
10
10
11
00
11
01
10
10
10
01
10
11
01
01
00
10
00
10
01
00
00
10
10
00
01
10
11
10
00
01
01
11
00
01
11
11
00
10
10
00
11
11
00
00
00
11
10
00
10
10
10
10
00
00
10
10
00
10
10
00
11
10
00
01
10
10
10
00
01
11
01
00
00
00
11
10
00
00
01
11
10
01
01
00
11
01
00
00
11
10
10
00
01
00
00
10
00
10
11
11
00
10
01
10
10
01
00
00
11
10
01
10
10
11
10
01
10
11
00
00
11
11
11
00
00
10
00
10
11
00
00
00
10
10
10
11
10
00
01
10
10
11
00
00
01
10
00
00
01
10
01
00
10
00
01
10
00
10
11
00
10
00
10
10
00
00
11
01
00
00
10
10
11
10
00
00
01
11
10
11
11
10
10
10
00
01
11
01
10
00
00
11
10
11
01
11
10
01
00
00
10
00
10
10
10
11
00
10
10
00
00
11
10
01
01
01
01
00
00
10
10
00
10
11
00
00
00
01
10
10
00
00
00
01
00
10
00
00
11
10
00
00
10
10
10
01
00
01
10
01
10
00
00
10
11
01
00
10
01
00
11
00
00
00
11
10
10
11
00
00
10
01
10
10
01
00
11
10
01
10
11
10
00
10
10
10
00
10
00
00
01
00
11
10
11
01
00
01
01
01
10
11
00
10
00
00
10
11
10
11
01
10
01
11
00
10
00
00
10
11
11
11
00
00
11
10
00
10
10
00
00
00
00
10
10
11
10
10
10
01
00
00
10
00
00
01
00
10
10
11
00
00
11
11
10
00
11
00
00
10
10
11
10
01
01
00
10
01
10
01
00
10
10
10
00
01
00
10
11
00
10
10
11
00
10
01
00
10
00
10
10
00
00
00
11
10
10
00
00
00
00
10
01
10
11
00
00
00
01
01
10
01
01
10
01
01
11
00
11
11
01
01
10
00
10
01
00
00
00
10
10
10
00
10
11
00
10
11
10
10
10
10
10
01
01
00
10
10
00
01
10
00
10
10
00
00
10
11
00
01
10
11
10
00
10
01
01
01
00
10
10
00
10
10
10
00
00
01
01
11
10
00
10
10
11
00
01
10
11
10
11
01
11
00
00
11
10
10
01
00
11
11
00
00
00
10
10
00
00
10
00
11
10
00
10
10
10
00
10
10
10
10
00
11
10
10
11
01
01
00
11
10
00
10
00
00
00
01
10
00
00
10
01
11
00
00
01
01
10
00
00
11
01
00
11
00
10
11
01
11
01
10
00
11
11
11
10
00
00
10
01
00
10
00
10
10
11
10
10
00
00
01
00
11
10
00
00
01
10
10
00
01
10
11
10
01
01
00
10
11
10
01
01
10
10
00
01
01
10
11
10
01
00
01
10
10
01
00
00
10
00
11
11
00
01
11
11
10
01
10
10
10
00
10
10
10
01
00
00
00
00
00
00
01
00
11
00
00
10
01
00
00
00
10
01
10
11
10
01
01
00
00
11
00
11
00
01
00
10
10
00
11
10
10
00
10
11
10
10
11
00
00
00
00
00
10
10
00
10
10
00
11
00
00
00
00
00
00
00
11
10
10
10
00
01
10
10
01
10
10
10
00
00
00
10
11
11
11
01
10
11
10
00
00
11
10
11
10
00
10
10
10
00
00
10
10
11
10
10
10
11
01
11
00
00
11
10
10
00
10
10
10
10
00
10
00
10
10
11
01
10
11
11
11
01
11
00
00
10
11
10
01
00
00
10
00
11
10
11
10
00
10
11
00
00
00
10
00
10
01
11
01
00
10
11
00
01
01
11
11
10
10
10
01
00
10
00
01
10
10
01
10
00
10
10
00
10
10
00
11
10
10
10
11
00
00
00
01
11
11
01
01
10
11
10
11
00
00
10
00
01
01
00
10
10
10
01
00
00
00
01
10
11
00
10
00
00
00
10
00
01
01
10
11
01
11
01
01
11
10
00
00
00
10
10
00
00
11
10
10
00
00
10
10
11
01
10
10
01
01
00
10
00
01
11
10
00
10
10
10
00
00
11
00
10
10
00
11
10
00
01
10
10
00
01
10
01
00
00
01
11
10
10
00
10
10
00
10
01
11
11
00
10
10
01
11
10
10
00
01
01
10
11
10
01
01
00
11
01
01
10
10
10
10
11
00
00
10
11
10
10
10
01
10
00
10
00
01
10
11
10
01
10
10
10
00
10
10
00
10
00
01
10
10
00
01
10
01
11
10
10
01
11
10
01
00
00
00
00
10
00
10
11
00
00
10
01
01
00
00
10
00
01
00
11
00
00
01
10
00
11
00
00
01
11
10
10
00
11
11
10
01
01
11
10
00
00
10
10
00
10
10
00
10
10
11
00
10
11
10
00
01
10
11
01
00
00
01
11
10
10
01
01
00
00
00
10
00
01
11
10
10
00
11
01
11
10
00
01
11
10
10
00
01
10
00
00
11
01
00
00
11
10
01
11
00
10
10
10
00
10
11
00
10
10
11
10
11
00
00
00
00
00
10
00
10
11
00
00
10
10
10
00
10
01
01
11
00
01
00
10
11
11
00
01
10
10
00
10
10
11
01
01
00
11
10
00
01
00
00
10
01
01
00
10
10
01
10
00
00
11
00
01
00
00
11
11
00
10
11
10
01
11
00
00
10
10
00
00
11
10
10
00
00
10
11
11
01
10
01
10
00
01
11
00
10
00
00
01
10
10
01
10
11
00
00
10
00
11
00
01
10
00
01
10
00
01
11
00
10
11
00
00
00
10
00
00
11
01
00
11
10
10
00
00
10
10
00
01
00
11
01
10
10
00
00
11
10
00
11
01
01
00
11
01
00
00
01
11
10
10
00
10
00
01
01
01
10
00
00
10
11
11
10
00
00
01
10
10
10
10
00
11
00
01
10
10
01
10
01
10
11
00
11
00
01
00
00
11
10
11
00
01
11
00
00
11
10
00
11
10
00
01
11
00
00
00
00
11
10
01
00
00
01
10
01
10
01
00
10
01
11
10
00
10
00
10
00
01
10
10
00
00
10
10
10
10
00
01
10
10
10
11
00
01
00
11
10
10
11
11
00
00
01
10
00
00
01
10
01
00
10
00
00
00
11
11
01
10
00
11
00
00
10
10
10
10
01
10
10
00
00
10
01
11
11
01
00
00
00
10
10
10
10
00
00
00
00
01
11
00
00
00
00
01
10
01
10
11
00
11
00
10
11
00
00
00
11
10
00
10
11
10
00
01
10
11
01
00
11
11
00
10
11
01
00
00
11
10
10
00
01
00
00
10
10
00
00
00
01
00
10
00
01
10
00
00
11
11
10
11
10
01
00
10
00
10
11
00
00
10
01
00
11
00
10
01
00
10
00
00
10
10
11
10
10
01
01
00
10
11
10
01
11
00
00
01
00
10
10
11
00
11
11
01
10
10
00
01
00
11
11
00
10
00
00
10
10
00
10
11
00
10
00
00
00
11
00
10
00
01
10
10
00
10
00
00
01
10
11
10
10
00
11
01
00
01
10
11
00
01
11
00
01
11
10
01
01
10
00
01
10
00
10
11
00
11
11
11
10
10
10
01
11
10
00
00
10
11
10
00
10
00
01
01
00
10
10
00
00
00
10
10
01
00
01
10
10
10
01
10
01
10
10
10
11
11
10
00
00
00
11
00
00
11
10
00
01
10
00
01
11
11
00
10
10
00
10
00
01
11
00
10
10
10
10
10
10
00
10
11
00
10
11
00
01
00
00
10
10
10
01
01
00
00
11
00
10
11
00
01
10
10
00
11
11
01
10
11
10
10
10
00
10
10
10
00
00
11
10
11
00
10
01
11
01
11
01
00
10
01
00
11
10
00
00
10
10
00
11
10
11
00
11
10
00
00
10
10
00
01
10
10
00
10
11
10
01
10
11
00
00
00
00
11
11
11
00
01
01
00
00
00
10
10
11
10
10
00
01
01
00
00
10
10
00
01
11
10
00
00
01
01
11
00
01
10
10
00
10
00
00
10
10
11
10
11
10
10
00
01
11
10
00
00
10
00
10
11
00
01
10
10
10
11
00
11
10
00
11
10
00
10
00
00
00
11
10
10
10
10
10
11
00
11
00
10
10
00
00
10
10
00
11
00
11
10
00
10
00
10
10
00
01
01
10
01
00
00
10
10
11
00
00
00
01
00
11
00
11
10
01
10
11
10
00
00
11
10
01
10
11
10
10
00
10
10
00
10
10
11
00
10
01
10
00
01
10
10
10
00
10
01
10
11
10
11
11
01
10
10
00
00
11
10
00
00
11
00
10
10
11
00
01
00
00
10
00
01
11
00
01
10
11
01
11
00
01
00
10
00
00
10
00
11
01
00
10
11
00
10
01
00
10
00
00
00
00
11
10
11
00
10
00
01
01
00
01
11
00
10
10
00
10
00
01
10
11
00
00
00
11
11
10
00
00
00
00
10
11
10
10
00
00
00
00
01
11
00
11
00
11
10
10
00
10
00
01
10
10
10
10
10
10
10
11
01
10
01
01
10
00
10
10
01
00
01
10
11
10
10
01
01
01
10
10
10
01
00
10
01
00
00
10
10
11
00
01
01
00
10
10
10
00
01
11
10
00
01
00
00
10
10
10
10
00
10
10
11
11
10
00
01
00
10
11
01
01
11
11
01
11
00
00
10
11
00
00
10
10
10
00
01
11
00
00
00
00
10
11
10
01
10
00
10
11
00
10
10
01
00
10
00
10
00
10
11
00
00
01
00
11
10
00
10
10
00
10
00
01
11
01
00
00
00
10
10
10
00
11
10
11
10
10
00
00
00
10
10
01
01
00
01
00
10
00
01
10
10
00
10
10
11
11
10
10
01
00
00
00
10
11
00
00
00
10
10
11
10
01
00
10
10
01
00
10
10
01
00
10
11
00
00
00
01
11
10
10
01
10
01
11
10
00
00
10
00
01
00
10
11
01
01
11
10
00
01
00
01
00
11
00
10
10
00
10
10
01
00
01
01
00
11
11
10
00
01
10
10
10
00
01
00
10
10
11
01
11
00
00
00
10
10
00
00
10
00
10
00
00
00
11
00
10
11
10
11
00
10
10
00
10
10
00
00
10
11
11
10
11
00
01
01
11
00
00
01
10
11
00
10
11
00
01
10
10
01
11
10
00
10
01
00
10
10
01
10
10
00
00
00
00
10
10
01
00
00
10
01
10
00
11
10
10
00
11
01
11
00
10
10
01
01
11
10
00
01
10
01
00
10
11
00
00
10
10
00
10
00
11
01
10
10
00
10
00
00
11
11
10
00
00
11
10
01
11
01
00
01
10
10
11
01
00
11
10
00
11
11
00
00
10
10
01
11
11
00
00
11
01
00
01
10
11
00
11
10
01
00
10
01
11
10
00
10
10
00
10
01
00
00
10
10
00
01
10
10
11
00
10
11
10
00
00
00
10
01
10
00
11
01
00
10
00
10
00
00
00
00
01
11
11
01
10
00
10
01
00
10
10
00
00
10
00
00
10
00
00
00
10
00
11
10
00
00
10
11
00
10
00
00
00
10
00
00
00
01
10
10
00
00
10
10
00
10
10
00
00
01
10
00
00
10
11
00
10
00
01
10
01
11
10
10
01
10
11
01
00
10
11
10
00
10
10
00
00
10
10
00
01
11
10
00
10
10
10
10
10
10
11
11
10
00
10
01
00
01
01
01
10
10
00
00
10
11
10
00
00
11
10
11
01
10
11
01
10
01
01
10
10
10
00
00
01
11
10
01
11
00
11
10
00
00
00
10
00
00
10
10
01
00
10
11
00
00
10
00
11
11
10
10
00
10
10
11
00
01
11
10
00
01
10
01
00
11
10
11
10
01
10
10
10
00
00
10
10
00
10
00
10
00
11
11
01
11
10
00
00
11
11
00
01
11
00
00
00
01
11
10
10
10
00
00
00
01
00
00
00
10
01
10
00
10
00
00
10
00
00
00
11
00
00
11
10
00
00
10
00
00
00
11
10
00
01
00
01
11
01
01
00
00
10
01
00
11
00
10
10
11
00
01
01
01
00
11
10
11
10
01
01
11
11
11
00
00
01
10
00
00
11
10
00
10
00
11
00
00
10
10
01
00
11
00
00
00
10
00
00
00
10
11
11
11
00
00
11
00
10
10
10
10
00
01
10
00
10
10
01
10
00
01
00
10
11
00
11
00
01
00
11
00
10
00
10
11
00
01
10
10
01
00
10
00
01
10
00
01
11
00
10
11
00
01
10
00
00
10
10
00
00
00
10
00
10
10
10
10
00
10
10
01
00
00
00
01
00
11
01
01
10
10
01
00
10
10
11
01
00
01
01
10
10
11
00
00
10
01
00
11
11
10
10
10
10
00
00
11
11
11
01
10
10
10
11
10
01
00
10
11
11
01
01
01
10
00
00
00
00
00
10
10
10
11
10
10
10
10
00
11
00
01
01
11
10
10
00
01
00
10
10
00
10
10
00
00
10
11
01
01
01
01
11
00
01
00
10
10
00
00
00
01
11
00
10
10
10
01
11
10
10
00
10
10
11
11
00
01
10
10
00
00
10
10
01
00
11
01
10
00
11
10
10
01
00
11
10
00
00
00
00
00
10
10
11
01
11
00
11
01
00
01
01
10
10
00
00
00
10
10
00
01
10
11
10
01
00
10
01
11
00
00
10
11
01
11
10
00
00
01
00
11
10
01
01
01
10
10
01
00
00
11
11
00
01
11
10
00
10
10
01
10
10
11
11
00
10
11
00
11
10
01
01
11
00
10
01
10
11
01
00
00
00
10
01
00
01
10
00
11
10
11
00
01
11
11
10
00
11
11
10
01
10
10
11
11
00
01
00
10
10
00
10
10
01
00
00
10
10
00
10
10
00
10
10
00
10
01
00
11
00
10
10
00
00
10
11
01
11
00
00
01
00
10
00
01
11
10
00
01
00
10
11
11
10
01
00
11
10
11
01
10
11
00
01
10
10
00
10
10
11
10
00
10
11
10
11
10
00
00
10
00
10
00
01
10
00
10
10
10
10
10
00
11
00
01
11
01
00
10
10
10
10
10
00
00
10
10
00
01
01
01
11
11
01
11
10
01
11
11
00
01
10
00
00
00
10
00
10
11
00
01
11
10
11
01
00
11
01
01
10
10
11
00
00
10
00
00
00
10
10
10
01
00
01
10
00
10
00
10
11
00
00
00
00
00
01
10
01
01
00
10
10
01
10
10
01
01
00
00
10
10
00
00
10
11
11
10
10
00
11
10
10
00
01
00
10
01
00
10
10
01
00
00
10
10
10
01
10
11
10
00
10
11
00
11
11
01
10
10
10
11
11
10
00
00
00
10
10
00
10
00
01
10
00
00
00
10
01
00
10
10
10
10
01
10
00
11
11
00
11
11
11
01
01
10
00
00
11
10
00
00
10
10
00
10
10
10
00
01
10
00
10
01
10
10
01
00
01
10
11
10
01
00
11
10
10
01
00
10
10
00
11
10
01
10
10
11
10
11
00
10
00
10
00
00
00
10
10
00
10
00
11
01
00
00
11
00
10
00
11
10
10
11
10
01
00
01
00
00
11
10
00
00
10
10
00
10
00
00
10
10
00
10
00
00
00
00
10
10
00
10
00
00
01
10
10
11
11
00
00
01
01
01
11
11
00
10
01
00
11
10
00
01
00
00
10
10
00
10
10
01
00
00
10
11
00
00
01
11
11
11
00
00
11
10
00
10
10
10
00
00
10
00
00
10
01
11
01
00
11
10
00
01
10
10
10
00
01
10
11
01
01
01
00
10
10
01
00
00
11
10
00
11
10
11
01
01
10
01
00
10
11
00
00
10
00
00
10
00
00
10
10
11
10
10
01
10
11
10
10
00
01
00
00
10
00
00
01
11
10
10
00
11
11
10
01
10
00
10
10
00
01
00
10
11
00
01
01
10
10
00
01
10
01
10
10
01
11
10
10
10
01
10
01
00
11
11
00
10
01
11
01
11
10
00
10
00
10
10
00
00
00
00
00
11
10
11
10
11
00
00
10
10
10
01
10
00
00
01
11
00
01
11
10
00
01
10
10
11
00
11
00
00
11
00
00
11
00
00
11
10
00
00
01
01
10
11
00
01
00
00
11
01
11
10
00
00
00
10
11
00
11
00
01
10
00
10
10
00
00
10
10
10
00
10
00
10
00
01
10
10
00
10
11
10
01
01
10
10
10
11
00
10
11
10
10
10
00
00
11
00
10
10
11
11
11
00
00
00
11
00
10
01
00
11
10
10
10
01
00
10
00
01
10
10
10
00
10
00
10
11
10
00
00
00
10
00
01
10
10
00
10
00
11
11
00
00
01
01
01
11
11
11
01
00
10
10
01
00
10
10
11
10
00
10
01
01
01
00
10
10
10
00
10
10
11
11
10
01
10
01
10
11
00
10
00
10
00
01
11
10
00
00
10
00
10
00
01
00
01
10
10
00
01
10
10
00
00
00
10
00
10
00
10
00
11
01
10
00
00
00
11
00
00
00
11
01
10
10
11
00
01
00
10
01
00
01
01
00
10
10
00
00
10
11
10
10
00
00
10
11
10
01
00
00
00
10
00
10
10
01
00
01
10
11
00
10
11
10
01
00
00
11
10
00
11
00
01
01
10
00
10
10
10
00
10
10
10
00
00
10
10
10
11
10
01
00
01
00
10
11
00
10
00
11
10
00
11
00
00
11
10
10
00
00
00
00
10
11
00
10
11
10
01
11
00
00
00
01
01
01
10
00
00
10
00
01
10
00
01
01
11
11
10
10
11
01
01
10
11
01
01
00
11
01
00
00
10
11
10
10
00
01
01
00
10
10
10
01
10
10
10
01
00
00
01
01
00
01
01
11
10
11
00
10
10
11
10
10
00
00
01
10
10
01
11
01
10
00
01
11
00
00
10
10
01
10
00
10
00
10
01
00
10
01
00
01
10
01
01
11
01
00
10
10
11
00
00
00
00
01
01
10
10
00
10
00
10
11
01
10
10
10
10
00
00
10
00
10
11
10
01
00
10
00
00
01
00
10
10
01
00
00
01
01
10
01
11
10
10
00
01
10
00
11
11
10
00
10
00
11
00
00
10
10
00
01
10
11
00
01
00
10
10
00
00
10
00
00
00
10
10
10
11
00
11
10
00
00
11
00
00
01
10
10
00
00
11
00
00
10
10
01
10
00
10
01
00
10
00
01
10
00
00
10
01
10
10
00
01
10
10
11
01
00
11
10
00
11
11
10
11
01
01
10
00
10
01
10
10
00
01
10
11
00
11
10
10
10
00
00
10
01
00
11
10
10
10
01
10
10
01
01
00
00
00
00
01
10
01
10
11
01
10
11
01
10
11
11
11
10
00
00
01
00
11
10
00
11
10
00
00
00
01
10
10
00
00
00
00
00
10
00
00
10
01
01
10
10
00
01
00
00
10
11
01
00
11
00
00
11
00
10
10
10
01
10
11
00
00
01
01
11
11
00
00
11
10
00
11
10
00
00
10
01
10
01
00
00
10
00
10
10
00
00
00
01
00
10
01
11
00
10
00
01
11
00
00
10
10
01
00
00
10
01
00
10
00
10
00
10
11
10
00
11
00
01
00
10
01
00
10
10
10
00
00
10
10
01
10
01
00
01
00
10
10
10
11
01
01
10
11
10
01
11
00
00
10
01
11
01
00
10
10
00
00
00
11
10
00
10
00
00
10
11
00
11
00
01
10
10
10
01
00
10
01
00
11
11
10
11
00
01
00
10
10
10
00
01
11
11
00
11
10
00
00
10
10
00
10
10
00
01
00
01
01
00
10
00
10
00
10
11
01
01
10
00
10
01
00
01
01
00
10
01
11
11
00
00
01
00
00
10
10
00
00
01
00
00
01
01
00
11
00
11
10
00
01
00
11
11
11
00
10
10
01
00
11
10
01
00
10
00
00
00
00
10
11
01
11
01
11
11
01
10
00
11
10
00
01
11
00
00
00
10
11
01
10
10
00
11
10
10
00
00
10
01
11
10
11
00
10
10
10
01
11
11
00
10
10
00
10
10
00
01
00
01
01
11
11
11
11
10
01
00
10
10
00
00
10
01
10
10
10
00
10
10
00
01
10
10
00
00
00
10
10
01
00
10
01
10
00
10
00
10
10
01
01
10
11
00
10
10
00
01
00
00
10
10
00
01
10
10
00
00
10
10
01
00
00
11
10
01
10
00
10
00
00
00
01
10
01
00
01
10
01
01
10
10
11
01
01
10
00
00
11
00
00
00
10
01
11
11
10
01
01
10
00
10
10
00
00
01
11
00
11
10
01
00
00
01
10
11
00
00
10
10
10
00
10
10
00
11
00
01
10
00
10
00
00
10
00
00
10
10
01
00
00
10
01
00
00
11
10
10
00
00
10
01
01
10
10
00
00
10
00
10
10
10
00
00
01
10
01
10
01
10
00
00
00
11
10
10
10
01
10
00
01
10
01
10
00
11
10
00
10
00
00
10
00
01
01
00
10
10
10
11
10
01
11
11
01
10
10
00
11
10
10
00
00
11
10
11
00
01
11
01
10
11
00
01
11
10
11
10
00
00
01
00
00
10
00
00
00
01
10
10
00
00
00
11
00
00
11
10
00
00
01
11
00
11
00
01
10
11
10
10
00
00
10
10
00
00
10
01
00
10
01
00
10
10
00
01
10
00
10
10
00
10
00
11
10
10
01
01
10
00
10
10
00
10
10
00
00
00
11
10
11
01
00
00
11
00
01
10
10
10
01
11
11
00
11
11
00
10
10
01
00
10
11
10
00
00
10
10
10
00
11
10
00
10
11
00
00
00
10
00
10
10
00
10
10
10
10
00
11
00
10
00
00
10
01
11
11
01
10
01
10
11
00
00
10
11
11
10
10
00
00
00
00
10
10
00
00
10
10
00
10
10
00
01
00
01
10
00
11
11
00
01
10
11
11
01
00
11
10
00
11
01
10
10
11
00
00
00
11
11
01
11
01
10
10
01
01
10
10
01
00
10
11
00
10
00
10
10
01
00
10
10
10
00
10
00
00
11
11
00
00
10
11
10
11
11
11
10
10
01
00
11
01
01
10
00
00
00
10
11
10
10
00
10
10
10
00
10
00
10
00
00
10
00
10
01
00
11
01
11
01
00
00
00
11
11
01
01
10
00
10
00
01
00
00
11
00
11
00
11
10
00
10
10
00
00
00
00
01
01
10
01
00
11
00
10
01
10
01
00
00
10
10
00
00
10
10
01
11
11
01
10
00
01
00
01
11
10
10
00
00
11
10
01
01
01
00
01
01
10
10
00
01
10
11
00
01
01
10
10
10
10
10
01
00
11
10
00
11
10
00
10
10
00
00
00
11
11
10
00
01
10
11
10
11
11
00
00
11
00
00
00
11
00
10
00
10
01
00
00
10
11
10
01
11
10
01
00
00
10
11
01
01
00
10
10
00
00
10
10
01
00
10
11
10
00
10
10
00
11
00
10
11
10
10
01
00
11
10
00
00
01
00
00
01
11
01
00
00
11
00
11
00
00
01
11
10
01
11
10
11
10
00
00
11
11
11
00
00
01
01
11
00
01
10
11
10
10
00
00
10
11
00
10
10
01
00
11
10
10
00
11
10
01
10
10
01
00
10
01
10
11
10
10
00
11
01
00
00
10
00
10
00
01
10
00
01
10
10
10
00
00
00
00
11
00
01
11
10
10
10
10
01
00
10
00
10
00
10
10
01
10
10
10
10
11
01
00
10
01
00
10
01
01
10
10
10
11
01
10
00
00
00
10
01
00
01
11
00
00
10
10
11
10
00
10
00
01
00
11
10
00
10
11
11
00
00
00
11
11
10
10
10
10
10
00
00
00
10
00
01
00
11
10
10
01
10
10
10
01
00
10
10
10
11
00
01
00
00
01
01
01
10
01
01
00
00
11
10
01
11
01
00
00
11
10
11
11
10
00
10
10
01
10
10
01
00
10
10
00
01
10
01
00
11
00
00
11
10
00
00
11
00
00
10
10
01
00
00
10
10
01
01
01
00
10
00
01
00
10
00
00
10
00
00
00
01
11
10
01
00
10
10
00
00
10
00
01
00
11
01
00
00
10
00
01
10
00
10
10
11
01
10
01
10
11
00
01
01
01
01
10
10
10
01
00
00
10
10
10
00
00
00
00
10
00
10
10
00
11
11
00
11
11
00
01
10
00
00
10
11
01
00
10
01
10
10
10
01
00
01
00
11
10
01
10
10
10
00
11
10
10
00
01
00
00
00
11
10
10
00
00
10
01
00
10
00
10
00
10
10
00
10
01
10
10
10
10
01
00
11
10
01
11
00
00
11
00
00
00
11
11
11
01
01
10
10
01
00
10
10
00
00
00
01
10
01
10
10
01
10
00
01
10
11
00
01
00
10
00
01
10
10
00
00
00
00
11
10
00
01
10
11
10
10
00
01
11
10
00
00
10
01
10
10
00
00
11
10
10
10
00
00
10
10
01
00
10
10
01
00
10
10
00
10
01
01
10
00
10
11
10
00
00
11
11
10
11
00
00
11
00
11
11
10
00
00
11
10
00
00
00
11
00
00
10
00
00
11
00
00
10
00
01
00
10
10
10
00
00
01
11
00
10
11
11
10
10
00
00
00
00
01
00
11
10
11
10
01
00
10
10
01
10
10
10
00
01
00
10
10
00
00
11
10
00
10
10
11
10
01
00
00
10
00
00
00
11
10
11
00
01
00
00
10
11
01
01
10
11
10
11
10
10
00
00
00
11
11
10
00
10
11
10
00
10
10
00
10
00
00
10
10
00
00
00
10
01
00
10
10
11
11
00
10
11
10
01
10
10
10
00
10
00
11
10
00
10
10
11
10
00
11
00
10
00
00
11
01
00
10
01
00
01
10
00
00
10
10
11
00
01
10
10
00
00
11
10
10
00
00
00
00
10
00
00
00
10
00
10
10
11
00
10
10
01
00
11
10
11
10
00
00
10
11
10
11
00
01
10
10
10
11
00
10
10
00
10
11
01
00
10
10
00
10
00
00
11
10
00
11
10
10
00
01
11
00
11
11
10
00
11
00
10
00
11
00
10
00
11
01
01
10
11
00
10
10
11
00
00
10
11
11
10
00
00
10
10
00
11
11
00
10
01
00
01
00
10
00
01
10
00
00
11
11
10
10
00
11
00
00
00
10
11
11
01
01
01
00
00
11
10
01
00
10
11
00
10
01
00
10
01
00
01
10
01
00
01
10
00
11
11
10
01
11
11
00
00
11
00
00
10
11
10
10
01
00
11
11
01
10
11
10
00
10
11
01
00
00
10
10
11
00
11
10
01
00
10
11
00
00
10
01
00
01
10
11
01
00
10
01
01
10
10
01
01
11
10
00
10
10
00
11
10
00
00
00
01
00
10
01
10
10
11
00
00
11
01
10
10
10
11
01
00
00
01
11
00
10
10
00
00
00
10
10
00
10
00
00
10
10
00
10
11
10
00
00
00
10
01
01
01
00
10
10
10
00
10
00
01
00
10
10
11
00
01
00
10
11
00
00
00
10
11
00
00
00
11
01
00
10
10
00
10
01
00
11
10
10
00
10
10
00
10
00
01
10
10
11
00
00
01
01
11
10
10
00
10
11
10
10
00
01
00
01
10
10
10
00
10
00
00
10
00
11
10
10
10
10
00
10
00
00
11
11
00
00
00
10
10
01
01
01
00
11
10
10
00
11
10
01
00
11
10
00
00
00
00
10
10
01
00
00
01
10
10
00
00
00
01
11
11
10
10
00
01
00
10
00
01
00
10
10
10
00
01
00
11
00
00
10
10
01
01
00
10
10
00
00
00
00
10
10
10
01
10
00
10
10
01
00
01
10
10
00
00
10
01
01
11
10
10
11
00
01
00
01
00
10
01
00
01
10
10
10
00
00
01
11
10
00
00
00
00
01
10
00
11
11
10
00
00
11
10
00
10
00
00
01
00
10
10
00
00
11
00
10
11
00
10
00
10
01
11
10
01
11
11
00
10
10
10
01
00
10
11
10
11
11
10
00
10
10
10
10
01
01
00
11
11
10
00
00
00
00
00
10
01
00
10
00
00
00
10
11
11
11
11
11
01
00
11
01
01
10
10
00
01
10
11
10
01
00
10
00
00
00
00
01
10
00
10
10
00
01
00
10
00
00
11
10
11
01
10
00
11
11
01
10
11
00
10
10
00
10
10
00
11
00
00
00
10
11
00
00
00
10
00
00
00
00
00
00
10
10
10
10
10
11
10
10
10
11
00
10
11
01
00
10
11
11
00
00
00
10
11
11
10
00
00
00
10
10
00
00
10
11
00
01
10
01
00
00
10
10
01
11
00
00
10
00
11
10
10
00
10
11
10
01
01
11
10
10
00
10
11
00
01
10
10
10
10
00
11
11
11
00
10
00
10
11
00
00
11
01
01
11
01
00
10
10
11
10
00
00
10
00
01
11
00
11
10
10
00
10
10
01
00
11
11
11
10
10
01
00
11
10
01
01
11
01
10
01
01
10
10
01
11
00
00
10
11
10
01
01
11
10
11
00
01
10
00
00
10
10
00
00
00
00
10
01
11
00
10
01
01
00
00
10
10
10
01
00
10
00
00
00
11
10
00
10
11
10
10
10
00
01
01
00
11
00
10
10
00
00
11
10
00
01
10
10
00
10
01
00
00
00
10
01
00
01
10
10
00
10
10
10
00
10
11
00
11
00
00
00
00
01
01
01
10
00
01
00
00
00
10
10
00
11
01
11
10
01
00
01
01
10
10
00
11
00
00
11
11
10
00
00
01
00
10
11
11
00
01
11
00
11
10
00
00
01
11
01
11
11
10
11
10
00
00
10
11
00
00
10
11
10
00
10
10
00
00
00
10
10
11
01
00
00
10
10
10
00
00
11
10
00
10
00
10
11
01
01
01
10
10
10
10
00
00
11
11
01
00
00
10
10
10
10
01
01
10
01
00
10
00
01
11
10
01
00
00
11
00
00
10
10
00
00
10
10
00
10
10
01
10
11
11
01
00
11
11
00
10
10
00
00
11
10
01
01
00
10
00
01
10
11
00
11
00
10
10
01
10
10
11
00
00
01
10
10
10
01
00
11
10
00
10
10
01
11
01
00
00
11
00
01
10
10
00
00
11
11
00
00
00
10
11
01
00
11
10
01
10
11
10
00
11
10
10
01
00
11
01
00
01
10
11
10
10
00
10
10
01
00
11
10
01
01
01
11
10
10
00
10
11
00
00
10
00
10
01
00
10
10
01
11
11
00
00
10
10
00
10
10
00
10
10
11
10
00
01
10
01
00
10
10
00
00
10
00
00
10
01
10
00
10
00
10
11
01
10
00
00
01
00
01
00
00
11
00
01
11
00
11
10
01
10
10
00
00
10
10
10
01
10
10
00
11
01
10
10
00
10
01
00
11
11
01
01
10
01
10
10
10
01
00
01
00
10
10
10
00
00
10
10
00
00
01
00
00
00
10
00
10
10
00
11
01
01
01
10
10
11
11
00
10
10
01
00
01
10
00
00
00
10
11
10
00
10
01
10
01
00
01
00
00
11
10
00
00
00
11
01
00
10
11
11
10
10
10
00
10
10
10
10
01
10
10
00
10
10
00
00
00
10
10
10
00
11
10
00
10
11
01
00
00
10
01
00
11
11
01
01
00
10
00
10
10
00
00
00
10
11
01
10
11
10
10
10
00
10
11
11
00
11
00
00
00
00
10
00
00
10
00
00
10
01
10
10
01
00
10
00
10
10
00
00
00
11
00
10
10
00
01
10
11
00
00
01
10
01
00
11
00
11
11
01
10
10
10
01
10
10
00
00
01
11
00
10
10
10
11
00
10
10
01
00
10
11
00
10
10
10
00
01
00
00
00
10
01
10
01
01
10
10
11
11
00
11
00
00
11
11
11
00
01
10
11
11
01
01
11
01
00
11
01
00
11
10
00
00
11
00
10
10
00
10
10
10
10
01
00
10
01
00
01
10
01
01
11
10
00
10
10
10
00
00
11
11
11
01
10
00
00
10
00
00
10
10
00
10
01
00
01
11
11
10
00
10
00
10
00
00
11
11
10
01
00
01
10
11
11
00
00
00
00
10
10
10
10
01
00
00
11
00
00
00
01
11
11
00
01
10
10
00
00
10
11
11
00
11
11
01
00
10
10
00
10
10
01
10
01
10
10
00
10
00
00
10
10
00
00
00
01
10
00
00
00
11
10
01
00
00
00
01
01
10
00
00
11
11
01
11
10
00
10
11
00
11
10
00
00
10
01
00
00
10
10
00
11
10
11
00
10
00
10
01
01
11
10
11
00
00
11
01
11
00
00
10
01
00
00
00
11
00
11
11
00
00
00
10
11
00
01
10
00
11
11
00
10
10
00
00
01
00
00
10
10
10
11
10
10
00
10
10
00
01
11
10
00
01
01
01
00
00
11
10
11
01
00
10
11
01
10
00
00
10
01
00
11
00
00
10
00
00
11
10
11
11
00
10
00
00
00
10
11
10
01
00
10
01
00
10
00
01
00
00
00
01
00
10
10
00
00
10
01
00
00
00
10
10
10
00
00
10
10
01
01
00
10
00
00
01
00
10
10
00
01
11
01
11
01
00
00
00
10
10
00
01
10
11
10
01
00
00
00
10
00
10
11
01
00
01
01
00
01
00
11
10
10
00
01
11
10
00
01
10
01
01
10
01
01
01
10
00
00
10
10
00
10
10
01
10
01
00
10
00
10
10
11
00
00
11
01
10
00
00
11
00
10
00
00
00
00
00
10
00
00
10
00
00
10
10
10
00
00
11
01
10
00
11
01
11
00
10
10
01
01
01
01
11
10
10
10
00
00
10
00
11
10
01
01
01
10
00
00
01
11
11
11
00
00
00
11
10
00
00
10
01
00
11
11
10
00
00
01
00
01
10
10
10
00
11
00
01
00
00
10
00
00
01
00
10
00
00
00
11
01
11
00
00
00
00
10
10
10
00
10
10
01
00
11
00
00
11
10
00
00
10
10
10
00
00
10
00
00
10
00
11
10
11
10
00
01
10
00
10
11
01
00
00
10
00
00
01
11
01
10
10
10
11
00
10
01
00
10
10
11
10
00
00
10
00
10
10
01
00
00
10
00
01
10
10
00
00
11
11
00
01
00
00
10
10
10
00
10
10
10
00
10
10
10
01
00
10
11
01
10
01
00
11
10
10
00
10
00
00
10
01
10
11
10
01
00
10
01
11
00
10
00
00
11
01
10
10
01
00
10
10
00
11
10
11
01
00
10
11
10
00
11
01
00
11
01
01
10
00
00
10
10
10
11
00
11
00
10
10
10
10
00
11
00
10
00
00
10
01
10
10
11
00
01
01
00
01
10
11
10
00
01
10
10
10
10
00
01
01
00
01
01
10
10
10
00
00
11
10
01
10
10
11
01
00
11
00
01
10
10
10
01
00
10
00
00
01
11
11
11
00
10
00
00
11
00
10
01
00
10
01
10
10
01
01
10
00
11
01
10
01
00
10
10
00
11
00
10
10
10
10
00
01
00
00
01
00
10
10
00
10
10
00
10
11
00
01
10
10
10
00
00
10
00
00
00
11
00
10
10
11
11
01
01
11
00
10
00
00
10
10
01
00
11
10
11
01
11
01
10
00
10
10
01
10
01
10
11
00
11
01
01
01
10
00
01
10
00
10
10
00
01
00
01
10
10
00
10
00
00
10
10
00
00
00
00
10
00
01
00
10
00
01
01
00
10
10
01
11
10
11
11
01
11
01
00
10
01
00
00
01
10
10
00
01
01
11
11
11
11
10
00
00
00
01
10
11
00
00
10
00
11
10
01
00
11
01
10
10
00
01
11
00
00
00
01
01
01
10
10
11
11
01
00
10
10
10
01
10
10
00
00
00
00
10
01
00
10
00
00
11
00
01
01
10
11
10
01
10
01
10
10
10
00
01
11
10
10
00
00
00
01
10
10
00
01
00
10
01
10
01
10
10
01
00
00
00
11
10
11
00
01
01
00
10
11
10
00
00
10
10
01
01
10
10
10
10
00
00
10
01
11
11
00
10
00
01
01
11
00
00
00
10
11
10
00
00
11
10
10
10
10
00
10
10
00
00
00
00
10
00
11
00
01
11
01
01
10
00
00
10
11
01
00
11
00
11
00
10
11
00
01
10
10
00
10
00
01
10
00
10
10
00
00
10
10
10
00
01
00
10
01
11
11
10
00
01
11
00
00
10
11
00
00
00
00
10
10
00
10
10
00
10
10
00
00
10
10
10
10
00
00
10
01
00
01
10
01
11
10
01
10
00
11
01
00
01
00
10
00
10
00
00
00
10
00
10
10
10
10
01
10
01
00
10
10
01
10
11
10
00
00
00
10
00
10
10
10
10
01
01
00
11
00
10
00
00
11
11
01
00
01
11
00
00
00
10
10
10
01
01
10
10
11
00
10
10
11
00
00
00
10
10
10
11
00
10
01
10
01
10
11
10
00
00
10
01
01
00
11
10
11
11
11
10
00
00
11
01
00
11
01
11
11
00
11
10
10
00
10
10
00
11
01
10
01
00
00
01
11
00
11
11
00
11
01
10
00
00
10
00
00
11
01
01
00
10
00
10
10
00
10
10
00
00
11
10
01
01
00
00
10
00
10
11
00
11
00
01
00
10
00
00
10
00
00
11
10
11
11
01
01
10
11
11
10
01
00
10
10
01
00
01
10
10
00
10
10
00
11
00
10
00
11
10
10
11
00
10
00
00
10
00
00
00
10
00
10
11
11
00
10
00
00
10
11
00
10
10
10
00
00
01
01
01
01
11
00
10
11
10
00
01
11
00
01
01
00
11
01
00
11
00
00
11
10
00
10
10
01
01
00
11
01
11
10
00
00
11
00
00
10
10
01
10
10
10
00
11
00
00
11
00
01
01
00
00
10
11
11
01
00
11
01
00
10
01
10
10
10
00
01
00
00
00
00
10
00
10
10
01
11
10
01
00
00
00
11
10
10
10
00
00
10
01
01
10
10
00
10
01
00
01
00
00
01
10
01
01
11
11
01
00
00
10
11
01
10
01
00
10
11
10
01
00
10
10
00
10
11
10
00
01
11
10
00
00
11
11
00
10
11
10
00
11
00
00
00
10
00
11
00
01
11
10
00
11
00
01
10
10
10
00
00
01
00
01
10
10
10
01
11
01
01
10
00
01
10
00
00
10
10
10
00
00
00
01
01
10
11
00
10
00
00
10
00
11
01
11
10
00
00
10
11
00
11
10
01
00
00
11
00
11
11
10
00
00
11
00
10
10
11
00
01
00
10
11
00
11
00
10
11
10
10
00
11
10
10
10
10
00
01
11
10
11
10
11
00
11
01
00
10
00
10
00
10
10
10
10
11
01
00
11
10
10
10
01
01
10
00
01
01
11
00
01
10
10
00
00
11
10
10
00
10
00
00
11
00
01
11
00
11
01
00
11
00
00
01
01
10
10
11
11
00
11
11
10
00
11
00
00
00
10
10
00
11
00
10
00
00
10
01
00
10
01
01
01
11
10
11
00
00
00
11
10
00
00
11
10
01
10
01
00
10
11
10
10
01
00
11
00
00
00
01
00
11
10
00
10
10
01
01
10
00
00
11
11
00
01
10
11
10
10
01
10
01
00
10
10
11
01
10
10
11
01
11
10
01
11
01
01
00
00
10
00
00
01
10
10
00
11
00
11
11
00
00
10
10
10
00
00
00
11
10
10
10
00
00
10
11
00
00
00
10
00
11
10
00
01
11
01
10
00
01
11
11
10
10
01
11
00
01
00
10
00
11
00
10
10
01
00
10
10
01
10
10
00
10
00
11
00
01
11
10
00
00
00
10
01
00
01
10
00
10
00
10
10
00
00
00
10
01
00
10
10
10
10
01
00
01
10
00
11
00
10
10
10
10
00
11
10
11
10
10
11
11
00
01
00
10
10
10
00
00
10
11
11
11
00
00
10
01
01
10
10
00
00
01
11
00
00
10
10
01
00
11
10
01
01
00
01
10
10
00
01
10
11
01
00
10
11
01
10
11
00
10
00
11
01
01
10
00
00
01
10
01
10
11
00
00
10
00
11
10
10
10
01
00
10
10
00
10
11
00
01
00
10
10
00
01
10
11
10
10
00
00
01
01
10
10
00
00
11
01
10
11
00
11
10
01
00
00
01
11
00
11
10
01
00
11
11
11
00
01
01
10
10
01
11
11
00
01
10
10
11
10
01
00
01
10
01
10
00
11
11
00
00
10
00
00
10
00
01
10
10
01
10
10
00
10
11
10
00
10
11
01
10
11
11
11
10
10
01
01
10
00
00
10
10
10
11
01
00
10
11
00
11
10
01
00
01
10
00
00
10
11
00
00
11
10
10
10
01
01
11
11
10
01
01
10
00
11
10
10
01
00
10
10
00
00
10
10
01
10
10
01
00
01
10
10
10
11
01
11
01
00
10
10
01
10
00
01
00
10
10
10
10
00
01
00
10
01
11
01
01
10
11
11
10
11
00
00
01
10
10
10
10
01
00
11
11
11
10
11
00
00
11
11
00
11
00
10
10
11
00
01
10
11
10
00
00
01
10
10
10
00
00
10
01
10
01
11
10
01
10
01
01
00
11
11
00
00
00
10
00
10
01
11
00
11
10
10
10
10
10
00
00
11
11
10
10
11
00
00
00
11
10
01
01
10
10
10
01
10
00
00
10
01
00
11
01
10
01
00
10
00
10
11
10
00
01
10
01
00
11
10
10
11
10
11
00
10
10
01
10
10
00
01
10
11
10
10
10
10
10
00
00
00
00
10
10
10
10
11
10
00
00
10
01
01
11
01
00
10
10
00
10
00
00
10
10
00
10
01
10
00
01
00
00
10
10
00
10
11
01
00
10
00
00
00
00
11
00
11
01
10
00
11
00
10
10
11
00
00
10
00
10
11
10
01
01
00
11
01
10
10
11
00
01
11
11
10
10
11
11
01
01
01
10
00
10
10
00
01
10
10
01
01
11
01
00
01
11
11
00
10
11
10
01
01
10
11
00
00
00
10
00
01
00
00
00
11
01
10
00
10
10
01
10
10
10
00
10
00
00
10
00
00
10
10
01
00
11
10
01
11
10
00
00
00
11
10
01
10
10
11
00
01
10
00
00
01
10
10
00
00
10
10
00
11
00
00
01
01
10
00
10
10
00
10
00
01
00
01
10
11
01
10
01
10
00
00
00
10
11
10
01
10
11
10
10
00
00
10
10
00
00
00
10
11
00
00
10
01
10
00
00
10
11
10
10
11
00
11
01
00
11
00
00
00
01
10
00
01
11
11
11
11
00
11
10
01
10
10
01
00
00
10
10
01
00
11
10
10
01
00
11
01
00
10
11
00
10
11
00
00
00
10
10
00
11
10
00
00
10
10
11
11
01
11
10
01
10
10
00
01
11
11
10
01
01
10
01
11
01
00
10
10
00
00
11
00
01
00
00
10
10
10
10
10
00
01
01
00
01
01
01
10
01
10
10
00
01
00
10
00
10
10
10
10
11
00
00
00
10
10
00
00
00
10
00
00
10
10
10
00
00
10
10
11
00
00
10
01
01
00
11
10
10
10
00
00
00
01
10
00
00
00
00
00
00
10
01
00
11
01
11
10
01
11
01
10
10
00
00
00
11
10
10
11
00
11
10
00
00
10
00
11
00
00
00
10
10
11
00
01
00
11
01
10
11
00
11
01
01
11
10
00
11
01
11
00
00
11
10
11
10
00
00
10
00
10
00
00
00
00
10
00
01
10
11
00
11
10
01
01
10
10
01
10
11
00
00
10
10
10
01
00
10
10
00
10
11
10
00
11
11
10
00
00
11
00
00
00
00
10
00
10
00
00
11
11
00
01
00
10
10
11
00
00
11
10
10
10
10
10
10
00
00
00
01
10
11
01
01
10
00
00
11
00
00
10
11
00
11
11
01
10
00
10
11
00
01
11
00
00
10
10
00
10
10
10
00
10
11
01
10
00
11
10
11
10
01
00
11
10
10
11
00
10
10
00
00
11
00
00
00
10
10
00
01
00
10
10
00
01
00
00
00
10
01
00
10
10
10
11
00
10
01
00
00
01
11
10
11
01
00
10
10
00
10
11
10
10
00
01
01
10
10
01
00
11
10
01
01
01
10
11
01
10
01
00
11
01
11
11
11
10
01
00
00
01
01
10
10
01
10
00
11
10
01
00
00
00
11
01
11
10
11
11
10
10
00
10
01
10
10
10
01
11
10
00
00
10
11
10
00
00
00
11
10
00
10
10
01
01
00
00
01
00
10
10
00
00
10
10
00
10
00
11
01
11
00
10
10
10
10
00
00
01
01
10
11
00
01
01
00
10
11
00
10
00
00
10
00
01
11
00
01
10
01
10
00
11
00
01
00
01
00
00
10
11
00
00
10
11
11
11
00
01
11
00
00
10
10
00
00
01
01
10
00
10
10
10
10
01
10
10
00
01
01
00
11
11
00
11
00
00
11
10
00
00
01
11
01
11
01
11
01
01
00
00
10
10
00
00
10
00
01
11
00
10
11
11
01
11
10
00
00
01
00
11
10
00
11
10
11
00
10
11
11
11
00
11
01
10
00
01
10
10
10
00
01
10
00
10
10
00
10
00
00
10
10
00
10
01
01
10
00
01
10
11
00
10
00
10
01
01
10
11
01
10
01
10
10
10
01
01
01
10
10
00
11
11
10
10
00
01
01
11
11
00
11
01
10
11
11
00
01
10
10
10
00
01
10
11
00
00
10
00
11
01
00
00
10
10
10
00
10
10
10
00
10
01
01
01
11
11
10
00
00
11
11
00
01
10
00
00
10
10
00
10
10
10
11
11
10
00
00
11
00
10
11
01
00
11
00
11
10
00
01
10
10
00
00
00
00
11
10
10
11
00
01
01
10
10
11
10
00
01
10
11
00
10
00
11
11
11
10
00
00
00
01
10
00
11
00
10
00
10
00
00
00
00
00
10
10
10
00
10
00
10
00
11
10
01
11
01
01
00
10
10
01
00
01
10
10
00
01
11
11
01
11
10
10
01
10
11
01
01
11
00
00
01
10
11
10
00
00
10
00
00
00
10
00
01
10
10
00
11
00
10
00
11
10
11
01
01
00
11
10
01
10
10
10
00
00
11
11
01
11
10
11
00
01
11
10
00
00
11
10
11
00
00
10
00
10
00
11
10
10
10
10
10
10
01
00
11
10
00
01
00
00
00
10
00
10
01
10
00
11
00
11
10
01
10
01
10
11
01
10
10
00
10
01
00
11
11
10
00
11
11
10
10
00
01
10
00
00
10
10
00
10
10
00
00
10
00
00
00
10
01
00
00
00
10
10
00
01
10
00
10
10
00
01
00
00
01
00
00
10
00
11
10
10
00
00
00
00
11
10
10
10
01
10
11
10
01
01
00
00
00
00
10
00
00
10
00
01
00
11
00
10
10
10
00
11
10
01
10
11
00
10
11
00
10
01
01
10
11
00
10
00
10
10
10
01
00
10
10
01
10
00
11
10
11
10
10
10
10
10
00
00
10
01
11
10
11
00
00
00
11
00
00
00
10
01
10
11
11
01
10
10
01
00
10
01
10
10
10
00
00
11
11
01
00
00
10
10
11
11
01
10
01
00
00
10
01
00
11
10
01
11
10
01
10
10
00
01
10
11
10
11
00
00
01
00
11
11
00
10
00
10
00
10
10
00
00
10
10
01
00
01
00
10
10
10
00
01
00
10
00
10
00
01
10
00
10
00
00
00
00
00
11
10
00
10
10
11
10
11
00
10
00
00
00
01
01
10
11
11
10
00
10
10
10
01
00
10
10
00
11
01
11
11
11
10
01
00
11
00
10
00
00
00
01
01
10
10
00
00
01
10
10
00
01
00
10
00
11
00
10
00
10
01
01
00
10
10
00
10
01
00
00
10
00
10
10
11
11
00
00
10
00
01
01
11
10
11
00
11
10
10
10
00
01
01
01
10
11
00
00
01
01
11
10
00
00
00
10
00
00
10
11
00
11
00
00
00
10
00
00
10
00
10
11
00
01
10
00
10
01
01
01
10
10
00
10
10
10
00
00
10
10
00
01
10
10
00
00
10
00
00
11
00
11
00
01
10
00
10
10
10
01
00
01
10
00
00
10
01
00
10
10
01
00
10
01
00
01
11
10
11
01
00
00
10
10
01
11
10
00
10
10
00
10
00
01
00
01
11
00
11
10
00
01
00
11
00
01
10
01
00
00
11
10
01
01
11
10
00
00
00
01
10
11
00
00
10
00
11
01
11
10
11
01
10
11
01
10
10
01
00
00
01
10
01
00
00
10
01
00
01
10
10
10
11
10
00
00
10
01
00
00
01
10
10
10
10
01
01
00
00
00
10
11
01
10
11
11
10
00
01
00
11
10
00
00
00
00
10
00
00
10
10
00
10
10
00
10
00
10
00
10
00
10
01
01
11
11
10
10
10
00
10
00
00
10
00
01
00
00
00
00
11
11
01
10
00
00
00
10
00
11
11
11
01
00
00
00
00
10
10
00
00
00
00
01
11
00
00
00
11
00
00
11
10
11
01
00
10
10
00
00
00
01
11
01
01
10
00
01
10
00
01
11
10
10
00
11
00
01
00
10
10
00
10
10
10
10
11
01
00
00
11
10
10
00
00
00
10
01
11
00
00
11
00
00
11
01
10
01
00
10
01
00
00
00
00
00
11
00
01
10
11
00
01
00
11
01
01
10
10
11
00
00
11
11
10
00
01
01
01
00
00
00
10
10
10
10
00
01
10
10
00
01
10
01
10
10
10
00
10
00
11
10
10
10
10
00
01
01
01
01
11
10
10
11
11
11
00
01
10
10
10
11
00
00
10
10
10
10
11
11
01
01
11
00
11
10
00
10
11
00
11
01
00
00
11
10
00
00
10
10
10
01
00
00
10
01
00
00
10
00
10
00
00
10
10
01
10
10
00
00
01
10
11
00
10
10
01
00
01
10
10
00
01
00
01
00
00
10
01
01
10
10
10
10
01
10
10
10
10
01
00
00
10
00
01
00
10
01
00
11
01
00
11
10
11
11
10
01
00
10
11
10
10
00
10
10
00
11
00
01
11
10
10
00
00
00
10
10
10
00
11
01
00
11
00
00
00
00
10
01
00
10
10
00
00
00
10
10
00
10
10
00
10
00
11
10
00
11
01
10
10
11
10
00
10
11
11
10
00
10
11
00
00
01
11
01
01
10
00
10
01
00
10
10
00
01
10
00
00
00
10
00
01
10
00
00
00
00
00
10
10
01
00
00
00
10
00
10
01
11
11
01
11
10
10
11
00
00
11
10
10
10
11
00
00
10
00
01
11
10
00
10
00
00
01
11
10
00
01
01
10
00
10
10
01
10
10
10
01
00
01
11
00
10
10
10
00
10
10
01
01
00
11
11
00
01
00
10
10
00
00
01
10
10
11
01
00
10
11
01
11
00
11
00
00
11
01
10
10
00
00
11
10
00
00
10
10
10
11
00
10
11
01
10
00
00
10
00
00
11
00
11
00
10
00
11
11
10
00
00
11
00
10
00
10
10
00
10
10
11
10
00
00
00
10
00
01
01
00
00
10
10
00
01
10
10
10
00
10
01
00
01
01
01
01
00
10
10
11
10
00
00
01
11
11
10
00
00
00
00
11
10
10
00
00
11
11
01
00
10
00
01
11
00
10
10
11
10
11
01
00
10
00
10
11
00
01
00
01
00
11
01
10
10
00
10
11
00
00
11
10
01
10
01
10
00
10
10
11
00
10
00
10
01
00
10
10
10
01
11
01
10
10
00
10
10
00
00
00
11
00
00
10
10
01
10
00
00
10
10
10
01
00
11
10
11
01
00
00
10
00
01
01
11
11
01
10
00
10
10
00
00
11
10
10
01
00
01
00
11
10
01
10
11
01
00
00
10
10
11
00
00
00
00
11
01
10
10
10
00
00
10
00
11
01
00
11
00
01
10
10
11
00
01
00
00
10
11
00
11
00
00
01
10
10
01
11
00
00
01
10
01
11
11
11
00
01
10
01
00
10
11
01
10
10
00
00
00
10
00
01
10
10
01
10
00
00
11
11
10
01
00
00
00
00
10
10
00
00
00
10
10
10
01
00
00
10
11
00
01
01
11
10
00
11
10
10
01
00
01
10
11
11
10
01
00
00
10
10
00
10
11
11
00
01
10
11
00
01
10
00
11
00
01
10
00
00
11
00
00
10
00
01
00
00
11
00
10
01
00
00
01
01
10
00
00
10
00
00
00
10
10
00
11
01
10
10
11
10
00
11
00
00
11
10
01
10
11
10
00
00
10
11
00
00
01
10
11
00
00
00
10
00
11
00
01
11
10
01
10
10
10
00
01
00
01
10
11
11
00
01
01
01
10
10
00
00
11
11
11
00
00
11
10
10
10
00
01
00
10
11
10
00
01
10
10
10
10
00
10
10
01
00
11
10
10
10
10
10
10
00
00
01
11
00
10
10
00
01
01
10
01
00
11
10
10
01
00
10
00
11
11
00
10
10
10
01
10
11
00
00
00
10
00
10
10
00
00
10
10
10
10
00
01
11
01
11
11
00
00
10
00
11
00
00
00
00
11
00
01
10
11
01
10
10
01
00
10
00
00
01
00
01
10
10
10
10
01
00
10
00
10
11
10
11
11
11
11
10
11
01
00
10
01
00
01
00
10
00
00
00
10
10
10
11
11
01
11
10
10
10
00
01
10
01
00
10
10
11
01
01
11
11
00
10
10
10
10
00
00
00
01
10
10
01
00
10
00
00
10
00
00
10
01
00
10
00
00
11
10
00
00
00
00
10
01
01
10
10
01
10
10
11
11
00
11
01
01
11
01
00
10
11
01
10
11
01
00
10
01
11
00
11
11
00
10
10
10
00
01
00
01
10
01
10
11
10
10
01
01
10
11
00
00
11
10
00
10
00
10
11
00
10
10
10
10
01
11
10
01
00
00
01
10
00
10
11
00
00
10
10
00
00
00
10
00
00
10
01
11
00
10
10
00
00
10
01
00
11
10
10
10
10
10
00
00
10
11
01
11
10
11
00
00
10
10
00
00
01
10
00
10
10
01
00
11
00
10
11
10
00
00
01
10
01
01
10
01
00
00
10
11
01
00
10
10
10
10
11
11
10
11
10
00
00
00
10
00
11
10
11
10
10
00
00
00
10
10
10
00
00
00
11
01
01
11
10
00
00
01
10
01
00
10
00
00
11
00
00
11
00
00
00
10
10
10
10
11
11
01
10
01
00
00
10
00
11
11
00
00
10
00
00
00
01
10
10
00
10
10
11
00
01
00
10
10
00
10
11
10
10
00
10
00
10
10
00
10
10
00
01
10
01
11
11
00
00
00
10
00
10
10
00
01
10
01
10
00
10
00
01
00
01
00
10
01
10
10
00
01
11
11
01
00
00
10
10
00
00
00
10
00
01
10
01
00
10
00
10
10
00
01
11
00
11
10
01
00
11
01
10
00
00
10
10
10
00
01
00
10
00
10
01
10
11
00
01
00
11
10
01
00
11
01
11
01
00
01
00
01
10
10
00
01
10
11
10
00
01
10
00
00
00
10
10
01
10
00
10
00
10
11
00
00
10
00
10
10
10
01
00
00
00
00
10
01
11
01
10
00
11
10
01
00
11
10
00
10
00
00
11
10
00
10
00
10
10
10
00
10
10
11
01
10
10
01
00
10
10
00
00
00
10
10
00
10
00
11
01
01
00
01
10
00
11
10
00
00
10
11
10
10
11
00
01
00
10
00
10
01
01
00
10
00
00
11
11
01
11
10
00
01
00
00
00
11
10
00
01
10
00
00
00
10
00
01
01
00
11
10
01
10
10
10
10
11
01
00
00
01
10
01
10
10
01
00
00
10
00
01
00
00
01
01
00
01
00
11
00
00
10
10
00
00
10
11
00
10
01
01
10
00
11
10
00
00
00
00
01
11
11
11
00
01
00
11
01
11
10
00
00
10
01
01
10
00
01
10
11
00
11
11
10
01
00
00
00
10
11
00
11
11
10
10
00
01
10
10
00
01
10
00
00
10
10
11
10
00
00
10
01
10
11
11
00
00
10
11
10
00
00
10
00
00
11
10
10
10
10
11
00
00
11
00
00
10
00
00
00
10
00
01
00
11
10
10
00
10
00
00
00
10
10
10
00
00
10
01
10
01
00
11
00
10
10
10
10
01
11
10
00
01
00
00
11
10
11
01
01
01
10
10
00
11
00
01
10
10
01
10
00
00
11
10
00
10
10
00
01
10
00
00
00
11
10
00
10
10
01
00
00
00
10
01
00
10
10
11
10
11
10
10
10
00
10
00
00
10
00
11
11
10
10
01
01
11
00
10
00
01
10
01
01
10
11
11
01
10
10
00
00
11
11
10
00
11
01
00
10
00
00
00
00
10
00
10
10
00
01
00
00
11
00
10
01
00
10
00
11
10
00
00
01
11
01
10
10
01
00
01
11
11
11
10
11
00
00
00
11
10
00
00
00
11
01
00
10
01
00
11
10
10
10
00
00
10
10
00
00
10
01
00
00
10
11
10
00
00
00
10
11
00
11
10
00
11
10
10
10
10
10
00
00
10
01
01
11
10
00
10
00
00
10
00
00
00
11
11
00
00
10
10
10
00
01
11
00
00
10
00
01
01
10
11
00
00
10
01
10
01
01
10
11
10
10
00
01
00
00
11
10
10
00
01
10
11
00
00
00
10
00
00
00
11
01
01
10
01
00
11
00
10
11
00
10
11
00
01
00
00
10
10
10
01
00
00
00
10
00
01
11
01
00
11
00
01
10
10
00
00
01
00
11
10
00
00
10
10
11
10
00
10
00
11
10
10
00
00
10
00
10
01
01
10
01
10
01
11
00
11
00
01
11
11
01
10
11
00
01
11
01
01
00
10
11
00
00
00
10
10
01
00
11
10
11
10
11
00
10
01
00
10
10
00
00
10
10
10
10
11
10
00
11
10
00
11
10
00
00
10
00
00
10
10
01
00
10
10
11
00
01
10
11
10
10
00
01
10
11
00
01
11
10
00
00
00
10
00
01
10
11
10
10
01
00
10
00
01
10
10
10
11
00
11
11
11
10
10
10
00
11
10
00
00
10
11
10
01
01
11
10
00
10
00
11
00
11
11
10
10
10
11
00
01
01
00
00
00
10
00
10
01
11
11
01
01
00
01
10
11
00
10
00
00
00
00
01
01
10
00
10
00
10
01
10
01
00
11
00
11
11
10
01
00
01
10
00
00
10
00
01
10
11
00
10
10
00
01
10
10
11
11
01
10
11
00
00
00
11
00
00
11
10
00
00
10
10
00
10
10
01
01
11
00
11
10
10
11
01
00
10
00
00
01
11
10
00
11
00
00
10
00
00
10
10
11
00
10
00
00
00
00
00
00
01
00
11
01
10
01
10
11
00
11
11
00
00
10
00
10
10
01
00
01
01
00
01
10
01
00
00
10
11
11
01
01
11
11
01
10
00
01
10
00
01
10
10
10
10
10
00
00
00
00
11
10
10
00
00
10
11
11
00
01
00
00
11
00
00
00
00
10
10
11
11
00
00
01
10
11
00
01
11
10
00
01
01
10
10
00
01
00
11
10
00
00
11
10
00
01
11
11
01
00
11
00
00
01
10
10
00
11
00
10
00
00
11
00
10
10
00
00
00
10
10
10
10
11
10
01
10
01
00
10
10
11
01
00
00
01
01
10
00
10
10
00
00
10
10
11
10
00
11
10
10
10
10
01
01
00
00
11
01
11
11
01
10
10
01
01
00
11
10
01
10
10
10
00
11
01
00
11
10
10
10
00
00
10
00
00
10
00
00
11
10
00
10
00
10
00
11
10
00
01
00
00
01
01
01
01
00
10
10
01
10
00
01
11
00
10
10
11
11
00
01
10
01
00
11
11
00
10
10
00
10
01
00
01
10
11
00
01
10
10
00
00
10
10
11
00
01
01
00
00
00
01
00
00
10
10
00
11
10
00
11
10
10
10
10
10
10
00
00
10
11
10
10
11
00
10
11
10
01
01
10
10
00
11
11
00
00
00
10
11
00
10
10
11
01
00
01
01
01
00
01
10
10
10
01
10
01
11
10
00
01
00
01
10
10
11
10
01
10
11
00
01
01
00
11
00
11
10
00
10
00
01
10
10
01
00
11
00
00
00
00
00
00
10
10
10
00
00
10
01
00
11
11
01
00
01
00
11
10
00
11
11
10
00
00
11
10
00
00
11
00
00
00
00
10
11
00
10
00
01
10
01
00
10
00
10
11
10
11
00
00
10
10
10
11
00
01
11
00
11
10
00
00
00
11
01
10
00
01
10
11
11
00
11
11
10
10
00
01
00
10
00
00
01
01
11
10
00
10
00
00
10
01
00
01
10
01
00
10
11
10
10
00
10
10
00
01
00
10
11
01
00
10
10
00
01
01
11
10
01
00
10
01
00
11
11
00
01
10
10
11
10
01
00
01
00
01
10
10
01
10
00
00
10
10
10
11
01
11
11
10
00
00
00
00
01
10
10
10
00
10
10
10
00
00
11
01
10
10
00
11
01
00
11
10
10
10
10
01
01
11
01
10
10
10
10
00
11
01
01
10
00
00
10
10
01
00
11
11
11
10
11
00
00
10
10
01
00
10
10
00
00
11
10
00
10
11
10
11
00
10
10
00
00
00
10
11
01
00
11
10
00
00
01
11
10
01
11
11
10
00
00
11
10
00
00
10
10
10
10
11
10
00
00
00
10
00
10
00
01
10
10
00
01
10
10
00
11
10
00
10
10
10
00
00
00
01
01
11
11
01
00
10
00
00
00
11
11
10
00
10
10
00
10
01
00
11
10
01
11
00
10
11
00
01
11
10
11
00
00
00
10
10
11
00
00
00
10
11
11
10
01
11
00
10
10
00
00
10
11
00
11
10
10
10
11
01
00
01
01
00
00
00
10
00
00
10
10
00
00
10
10
00
00
10
11
00
00
11
11
01
10
00
01
01
00
11
11
11
00
01
11
10
10
01
10
11
00
00
01
00
11
00
00
10
10
00
10
00
00
00
00
01
10
10
10
10
01
00
10
10
00
01
00
11
00
11
11
10
11
00
10
10
10
00
11
00
10
00
10
11
00
10
01
01
00
01
10
01
10
10
00
11
10
10
10
01
00
00
10
10
00
01
00
11
10
00
10
00
01
10
00
00
10
00
00
00
01
10
10
11
00
00
00
10
10
00
01
10
11
10
00
10
10
00
00
10
10
10
00
10
10
10
00
01
00
11
11
01
10
11
00
11
01
00
00
10
10
11
11
00
00
00
00
00
00
11
11
01
10
00
10
11
01
00
01
10
10
00
01
00
00
10
00
10
11
10
10
01
00
10
01
11
00
01
11
00
00
00
11
11
00
01
11
10
11
00
00
00
10
10
00
10
10
11
00
10
10
00
00
00
11
11
01
00
01
01
00
11
00
00
11
11
10
00
00
10
01
00
11
10
10
00
11
10
00
00
11
01
10
11
00
01
01
10
01
00
10
10
00
10
10
10
00
00
00
00
10
00
11
00
10
00
00
10
10
00
01
10
01
10
01
00
01
00
00
10
10
00
00
10
11
10
10
11
00
11
10
01
10
11
10
00
00
10
00
11
00
00
11
01
00
11
10
10
01
10
01
10
10
01
01
10
01
10
00
10
11
00
00
10
10
10
11
00
01
00
01
11
11
10
00
00
11
10
11
00
00
11
10
10
00
01
11
00
01
10
10
01
10
10
10
00
11
11
00
11
00
10
11
01
11
10
01
11
00
01
00
01
10
11
00
00
00
01
00
10
00
00
11
10
10
01
01
00
10
11
00
00
10
01
00
10
00
10
00
10
01
10
10
00
01
11
11
01
10
01
00
10
10
10
01
11
01
11
11
00
10
00
11
01
00
10
10
11
00
01
10
01
10
10
00
10
00
00
01
10
10
00
10
01
11
10
00
10
10
00
10
10
11
11
01
10
10
10
01
00
01
01
10
10
01
10
10
01
00
10
00
00
00
11
11
00
10
00
10
00
10
11
11
00
00
10
11
10
10
11
11
10
00
10
00
00
10
00
11
10
10
00
10
10
00
00
10
01
00
01
10
00
01
00
01
11
10
11
10
00
00
00
11
11
10
00
01
10
01
01
10
01
10
10
10
01
11
00
10
10
10
00
01
01
00
10
00
01
00
10
11
10
10
11
00
11
00
00
10
01
10
11
11
01
01
10
00
11
10
01
10
00
01
10
11
00
00
10
10
10
11
00
01
00
00
00
11
00
10
10
00
11
00
10
00
10
10
01
10
10
01
00
10
00
11
10
10
11
01
10
10
00
10
10
11
01
10
00
10
10
00
00
01
10
10
10
11
01
00
11
00
11
10
00
11
10
00
00
10
10
00
00
10
00
00
10
00
01
10
10
00
00
00
10
00
10
00
00
00
00
11
00
00
10
01
11
10
10
10
10
00
10
10
10
01
00
01
00
11
11
11
00
00
11
11
00
00
10
11
11
00
00
00
00
01
00
11
10
00
10
10
00
11
01
01
01
10
10
00
10
00
00
10
01
10
10
01
10
01
00
11
01
10
01
00
10
11
10
00
00
10
10
11
00
10
01
11
01
10
10
00
01
00
10
01
00
10
01
00
10
11
10
11
10
10
11
10
10
00
10
10
00
01
10
01
10
00
10
00
01
10
01
10
10
10
01
00
10
10
11
00
00
00
01
11
01
00
00
01
10
10
00
11
01
01
10
01
00
11
00
00
11
10
11
01
00
10
00
10
01
10
10
01
10
00
00
11
00
00
00
01
00
10
10
10
10
10
11
01
10
01
11
00
10
10
11
10
01
00
01
10
10
00
00
01
00
11
10
00
01
11
10
01
00
11
10
00
10
10
01
00
10
10
10
10
00
10
01
10
10
01
10
00
10
01
00
00
10
01
00
10
11
01
10
00
10
10
10
00
00
10
10
00
10
00
00
11
00
11
01
10
10
00
00
00
10
01
00
10
10
11
11
11
11
01
11
10
00
11
11
01
10
00
10
00
10
10
01
00
10
10
10
00
00
00
10
11
00
11
10
10
01
10
01
01
01
10
10
10
10
00
11
11
11
10
10
10
00
10
10
00
01
10
11
01
10
10
00
10
01
01
10
00
00
00
01
00
00
10
11
01
11
00
10
00
00
01
00
10
11
10
01
10
10
00
11
00
10
00
10
00
00
11
00
10
11
11
00
10
11
10
01
00
00
00
10
10
10
10
01
00
10
01
00
00
00
11
10
00
10
10
10
10
00
01
01
10
01
10
10
11
01
01
10
10
10
00
10
10
00
00
00
01
00
00
00
01
10
01
00
10
00
00
00
10
11
01
10
10
11
00
10
00
11
10
01
10
00
10
10
00
10
00
00
00
10
00
11
00
01
10
10
00
10
10
00
00
10
00
00
11
10
01
00
11
00
11
11
01
00
10
11
10
10
11
00
00
11
00
11
11
11
01
01
01
10
00
10
00
00
11
01
00
01
10
10
10
00
00
11
10
01
10
11
10
00
01
11
00
01
00
10
11
11
00
10
00
11
00
00
11
10
11
10
10
00
00
01
11
00
00
01
10
00
00
00
00
01
10
01
01
00
11
00
11
01
00
10
00
00
10
10
10
11
00
01
00
01
10
01
00
11
11
11
00
10
01
01
10
01
00
10
11
11
00
10
01
00
11
01
10
10
01
00
01
10
00
11
00
00
01
00
10
11
11
00
00
11
10
10
00
01
00
00
00
00
00
10
00
10
10
00
01
00
10
01
01
10
11
10
10
01
00
01
01
00
10
10
01
00
10
11
00
01
11
00
01
10
10
11
11
00
10
11
00
10
10
10
10
00
00
01
10
01
10
00
11
00
01
00
11
10
10
01
00
00
10
10
10
11
01
00
11
10
01
00
00
01
00
10
10
10
00
10
10
01
00
10
10
01
10
00
00
10
11
00
11
00
00
10
10
00
11
10
00
00
10
10
10
00
01
10
10
00
10
00
11
00
01
10
10
10
10
01
00
00
10
01
00
11
00
00
10
11
01
01
01
10
10
01
10
00
11
10
01
00
11
10
00
00
10
00
11
00
11
00
00
00
10
01
00
00
10
10
10
11
10
00
01
10
00
00
11
10
01
00
10
10
00
01
00
10
10
11
00
10
00
00
11
10
10
10
10
00
01
00
00
01
10
10
10
00
00
00
01
10
01
00
00
10
00
10
11
00
11
00
10
00
01
00
10
10
00
00
01
00
11
01
00
10
00
00
10
01
10
10
00
01
10
01
00
01
01
10
10
11
11
01
01
00
00
01
00
00
10
10
00
11
11
11
11
00
10
11
01
01
10
10
01
10
10
11
01
00
10
11
10
10
00
01
01
11
10
10
01
01
10
00
10
11
00
10
00
11
01
00
10
11
10
00
00
01
10
10
10
00
00
00
00
00
00
00
11
11
01
11
10
10
11
00
11
11
00
10
01
00
10
01
01
10
11
01
01
00
01
01
11
11
00
00
00
00
11
10
00
00
00
00
10
10
11
10
10
00
10
10
00
11
00
00
00
10
10
00
11
10
00
01
00
00
00
00
10
00
10
00
00
10
00
11
00
01
01
00
10
11
01
00
11
11
10
10
00
10
00
00
11
01
01
10
10
00
00
00
11
10
01
00
10
10
00
10
11
11
01
00
10
10
00
01
10
00
01
10
10
00
00
10
10
00
11
00
00
00
00
10
00
00
10
01
00
00
00
01
10
10
11
11
01
10
00
00
00
11
10
01
00
00
11
01
10
00
01
10
10
00
00
01
00
11
10
00
01
11
00
01
10
11
10
10
01
00
00
00
10
10
10
01
00
10
10
11
01
01
00
10
01
01
10
10
01
00
00
00
00
11
10
00
00
01
00
10
00
11
00
10
01
10
11
10
00
10
10
00
01
10
10
10
11
00
01
10
01
01
10
10
01
00
00
10
11
00
00
10
10
00
00
00
10
01
00
10
00
10
10
10
00
00
10
11
00
01
10
00
01
10
10
11
00
00
01
11
10
00
10
00
00
10
01
10
00
10
00
00
01
01
00
00
00
00
00
00
10
00
00
01
00
00
11
11
10
10
10
00
11
01
00
00
11
11
10
01
10
11
10
01
00
00
11
10
10
00
10
10
00
00
11
01
01
01
01
11
01
01
00
10
01
00
10
11
10
00
11
01
10
10
00
01
11
10
01
00
11
10
01
10
10
00
01
10
00
10
01
01
11
01
11
00
11
10
00
11
00
11
01
00
11
11
10
01
11
11
10
00
11
00
00
00
00
10
11
00
00
10
00
10
10
00
10
10
00
10
00
00
10
11
00
01
10
00
10
10
11
00
00
10
01
01
00
11
10
00
10
00
00
00
11
01
10
10
01
10
10
10
00
01
11
11
01
10
00
10
01
00
10
11
01
00
11
11
11
10
10
00
10
10
00
00
10
10
00
01
10
10
00
01
01
01
10
00
10
00
01
01
10
11
01
10
00
10
10
10
00
00
11
10
10
00
10
00
10
10
01
11
00
00
10
11
11
00
11
11
10
10
01
10
01
10
10
00
10
10
01
01
00
10
00
00
10
10
10
00
00
00
10
01
00
00
11
01
00
00
00
10
10
11
01
01
00
10
01
01
10
01
00
11
00
00
00
10
10
00
00
10
10
01
10
00
11
00
00
10
10
10
01
01
01
00
00
11
10
10
01
00
10
00
10
10
10
01
00
00
10
10
11
11
00
00
00
10
00
10
11
01
00
10
10
00
00
10
11
00
00
00
10
10
00
11
10
00
00
10
00
00
10
10
00
10
01
01
10
01
11
00
11
10
01
01
11
10
10
11
01
11
10
01
01
10
10
10
10
00
11
10
00
11
10
01
00
11
01
10
00
01
01
00
01
11
01
10
10
00
10
01
01
10
11
01
11
01
00
01
00
00
10
10
00
11
00
10
10
00
11
01
00
10
00
00
11
10
01
11
11
11
10
11
00
00
10
00
01
11
00
11
10
01
10
10
01
00
11
01
00
10
11
10
00
00
11
10
00
00
11
00
10
10
00
00
10
10
00
11
10
01
00
01
11
00
00
10
00
00
10
10
00
00
10
00
10
00
00
11
10
11
00
00
00
10
11
01
01
10
10
01
10
10
01
10
11
01
01
00
10
11
10
10
01
00
10
01
01
10
11
00
01
00
01
10
10
10
01
00
01
01
10
11
00
01
10
00
10
10
11
11
11
01
11
10
10
10
00
00
10
10
11
10
10
10
00
00
10
11
01
10
11
10
11
01
00
11
01
01
10
01
00
10
00
01
10
10
00
01
00
00
00
10
10
01
10
00
10
10
00
00
01
10
00
10
00
00
11
00
10
00
00
00
10
00
10
01
01
10
01
01
10
00
10
00
10
11
01
10
01
11
00
00
00
10
10
10
10
10
00
00
10
00
00
01
10
11
00
00
01
10
00
00
01
01
10
10
10
01
00
01
00
10
10
01
00
00
11
11
01
10
10
01
00
00
10
10
00
10
10
10
10
10
00
00
00
10
00
10
10
10
00
00
11
10
01
00
00
00
01
00
00
11
10
11
00
00
10
01
00
01
10
10
00
01
10
11
00
01
10
00
11
10
10
01
11
10
01
10
00
01
10
10
00
01
00
00
10
11
00
00
00
01
00
11
10
01
10
10
01
10
00
10
00
11
11
00
10
00
01
10
01
01
01
10
11
00
00
00
10
10
00
11
10
01
00
00
00
10
10
00
11
10
00
10
00
00
00
10
11
10
00
10
00
00
10
10
11
11
00
00
10
01
00
10
00
01
10
00
10
10
10
10
00
00
10
10
00
11
10
00
00
10
10
01
10
00
11
11
11
11
11
00
11
01
00
00
10
10
10
00
00
10
01
10
10
10
00
10
10
10
00
00
10
10
00
10
00
01
11
11
11
01
11
10
10
00
00
10
11
01
01
10
11
01
10
10
00
00
11
01
01
10
01
00
10
00
00
10
01
11
00
10
11
00
10
01
10
10
10
00
00
11
00
10
00
10
11
10
10
00
00
01
01
10
11
01
01
10
10
01
01
00
01
10
10
11
10
00
10
00
01
11
10
01
00
10
00
00
10
10
10
00
11
00
11
10
11
10
11
00
00
01
10
10
00
00
10
01
10
10
00
01
10
01
00
00
00
00
10
10
11
01
00
11
01
11
10
00
00
10
11
01
10
11
00
11
01
00
10
10
10
01
01
11
00
00
01
10
00
10
01
10
10
10
00
01
10
11
11
11
11
11
01
10
10
01
10
01
01
11
10
10
00
10
11
01
01
10
10
01
11
11
10
01
01
10
10
00
10
00
10
01
10
10
00
11
10
00
00
11
11
01
11
01
10
10
10
10
11
10
01
01
10
11
01
10
01
10
11
11
10
00
10
10
00
00
10
00
00
00
10
10
10
10
00
01
10
01
00
10
01
10
00
01
10
11
01
00
11
10
00
00
11
10
10
10
00
01
00
10
00
10
11
01
00
00
10
10
00
11
11
00
11
10
00
10
11
11
01
01
00
01
10
11
10
01
11
10
00
01
01
11
00
01
10
01
10
10
00
00
11
00
11
10
10
00
10
10
00
00
00
10
10
00
00
10
11
00
10
00
01
10
00
00
11
11
01
10
01
10
01
10
00
01
10
10
00
11
11
00
01
01
01
10
00
10
01
00
00
00
11
00
01
10
00
10
01
11
10
10
10
01
10
01
01
10
11
01
00
11
00
00
10
00
01
11
01
01
10
00
00
10
10
00
00
10
10
00
01
00
10
11
10
01
10
11
11
11
00
10
00
00
00
10
00
00
10
10
01
10
00
00
00
10
10
10
11
00
11
10
00
10
10
10
10
00
01
01
00
10
10
10
01
10
00
11
10
11
01
00
00
00
10
00
11
11
00
10
01
10
10
00
10
00
00
10
00
00
11
01
11
00
00
00
11
00
00
01
10
10
11
00
10
00
00
10
11
10
01
01
11
10
01
00
01
10
11
11
00
01
00
10
00
11
00
00
10
10
11
10
01
00
01
10
11
00
10
10
00
00
10
00
01
01
11
00
00
10
10
00
01
10
11
01
01
10
00
11
01
00
10
10
00
00
10
00
11
01
10
00
10
00
01
10
10
00
00
10
00
11
10
10
01
10
11
00
10
01
11
11
00
00
01
11
00
11
01
10
00
00
10
00
00
11
10
00
10
01
11
11
11
01
10
00
11
10
00
00
10
11
10
10
10
11
00
10
10
00
00
11
00
11
00
10
00
00
00
00
00
10
11
00
10
00
10
10
11
00
00
00
10
00
11
01
11
00
11
11
11
00
10
01
01
10
11
10
00
01
10
10
00
11
00
10
10
10
00
00
10
00
01
00
11
10
00
10
00
00
00
01
10
11
01
00
11
10
10
00
01
00
00
10
10
11
10
01
01
10
11
10
00
11
01
00
10
10
10
00
11
01
00
01
00
11
10
01
01
11
10
00
01
11
00
00
10
10
01
00
11
01
10
10
00
00
10
10
00
00
00
00
10
01
10
01
11
10
10
11
10
01
00
00
11
00
00
00
10
10
00
00
00
00
11
00
00
00
00
00
01
00
11
01
11
00
11
10
01
10
10
11
00
01
10
10
00
11
00
11
11
00
10
01
00
10
10
11
00
00
10
11
00
00
11
10
10
00
00
00
11
10
10
11
00
11
10
00
01
00
01
01
01
10
01
10
10
11
01
01
01
10
11
11
00
10
11
11
00
00
11
01
10
10
10
00
00
10
00
10
01
10
00
01
11
01
11
00
00
00
11
00
00
00
11
10
01
00
11
10
01
00
01
11
10
00
00
00
01
10
10
10
11
00
11
01
01
00
01
11
10
10
01
01
11
00
01
10
01
11
10
01
00
10
10
10
01
01
00
11
11
00
10
11
10
10
00
00
00
11
01
01
00
00
10
11
00
00
10
10
01
00
01
11
00
00
00
11
10
00
00
01
10
10
00
00
10
10
10
10
00
10
01
01
10
00
00
00
01
00
10
10
00
11
01
01
01
10
11
00
00
11
10
00
10
00
00
00
10
00
00
10
10
11
10
10
00
00
00
00
01
10
10
00
10
00
00
10
01
11
00
11
10
00
11
00
00
00
11
11
11
00
10
00
00
01
10
10
01
00
00
10
01
11
01
10
10
00
10
10
10
01
00
10
00
01
10
01
11
10
10
00
11
00
00
10
11
11
11
00
00
00
10
01
00
00
00
00
01
10
10
01
11
00
11
10
11
00
00
10
00
00
00
01
10
01
10
01
10
00
11
10
01
00
00
00
11
10
11
10
10
00
01
10
10
00
01
00
01
00
10
00
10
10
00
10
10
01
00
01
00
10
11
10
10
00
00
11
01
00
11
10
10
00
10
00
00
01
10
10
00
10
10
00
00
11
00
00
00
10
10
00
00
11
00
10
01
11
10
11
00
10
00
11
00
00
10
11
00
01
10
10
01
00
10
11
00
00
00
00
10
11
01
10
00
10
10
11
10
00
10
11
01
00
10
00
01
10
10
10
01
11
00
10
00
10
01
10
11
00
01
00
00
11
00
00
00
10
11
00
10
10
11
10
00
10
00
10
11
11
10
00
00
11
11
01
11
01
10
01
11
10
00
00
10
10
00
10
00
10
00
00
10
00
10
10
11
10
10
10
00
10
11
00
00
00
11
10
10
10
00
00
11
10
10
00
11
10
00
00
01
10
11
00
00
00
11
01
11
10
01
00
10
11
00
01
01
01
10
11
00
00
01
10
10
00
10
01
11
11
11
10
10
00
00
11
10
00
00
10
00
11
00
00
10
01
10
00
00
10
01
00
11
01
10
11
00
10
00
01
10
01
10
11
01
11
11
11
11
10
00
11
10
01
01
00
11
10
00
01
01
10
10
00
00
00
10
11
00
00
11
10
00
01
00
10
00
01
11
10
10
01
10
10
10
00
01
00
10
11
00
10
01
01
11
10
00
10
11
01
00
01
11
10
01
00
11
10
01
10
00
00
11
10
00
10
10
01
00
10
00
10
10
01
00
01
01
11
00
00
10
01
01
10
10
10
00
01
00
01
01
01
01
01
01
10
00
00
10
10
00
01
10
10
10
10
00
00
00
11
11
01
01
10
00
10
10
11
11
00
00
00
11
10
00
10
11
01
00
01
11
01
00
01
10
10
10
00
11
00
01
10
11
10
11
10
00
00
10
01
01
11
11
00
00
10
11
11
11
00
00
10
10
00
10
00
01
10
00
11
10
10
10
10
10
01
00
00
10
10
00
00
00
00
10
10
10
00
10
10
10
01
10
10
10
01
10
10
00
11
01
11
11
00
01
00
00
00
10
11
00
10
10
10
00
10
00
00
01
11
01
11
00
00
10
00
01
10
11
10
00
11
00
10
10
00
00
01
00
00
00
01
00
11
10
11
10
00
10
10
10
00
00
10
01
00
10
10
10
10
01
10
01
10
11
00
00
00
10
10
01
00
10
01
00
00
10
00
11
10
10
10
01
01
11
11
11
10
10
10
01
00
00
10
10
00
00
00
00
10
00
01
11
10
11
10
00
11
00
01
10
10
10
00
00
10
11
00
00
00
00
11
11
01
00
10
10
10
00
10
10
10
10
10
00
01
11
01
00
10
10
11
00
00
10
01
00
10
00
01
10
11
01
00
10
00
11
10
00
00
11
00
00
10
10
00
10
01
10
00
00
00
00
11
11
11
00
01
00
10
11
00
00
11
10
00
00
11
10
01
01
10
01
10
01
01
01
10
10
01
00
11
01
01
00
11
01
10
11
01
01
11
00
00
11
11
01
01
00
11
10
01
11
10
00
01
11
10
01
00
10
00
11
11
11
00
00
00
00
11
00
00
10
10
10
00
01
11
00
10
11
01
10
10
00
01
10
00
00
11
10
01
00
11
10
00
00
00
10
00
10
10
01
10
10
00
11
00
10
11
10
00
00
11
10
00
10
10
00
00
11
00
10
11
11
10
10
10
01
10
10
00
11
01
10
10
01
00
01
01
10
10
10
00
11
00
01
11
00
10
00
00
10
00
00
11
00
10
00
10
01
10
10
00
10
00
00
01
10
01
10
00
11
00
00
10
00
00
11
00
10
00
11
00
10
11
11
01
01
00
01
01
11
01
11
10
11
01
00
01
11
00
00
10
00
00
00
10
10
00
01
11
10
00
11
10
01
00
00
11
00
11
10
00
00
00
00
11
10
00
10
00
10
00
10
10
00
00
00
01
01
00
10
10
10
00
00
11
00
01
10
01
10
00
10
10
01
11
10
01
01
10
00
00
10
00
11
10
10
00
10
00
00
10
00
00
10
10
10
10
01
10
00
10
10
01
10
10
01
00
11
10
00
11
00
11
10
11
01
11
10
11
10
01
01
10
00
00
10
11
11
00
00
11
11
11
00
11
01
10
10
11
10
01
10
10
11
00
10
00
01
11
10
00
00
00
10
00
01
11
11
00
00
00
00
00
10
11
00
00
10
00
10
10
01
00
11
11
00
11
00
10
11
00
00
01
10
11
10
00
00
10
01
01
00
01
10
10
00
01
00
10
11
10
00
00
10
00
11
00
00
01
00
10
11
00
10
01
10
10
01
00
00
11
11
11
10
00
01
10
10
01
11
01
01
11
00
11
10
10
00
10
00
00
11
00
10
00
00
11
00
01
10
11
11
00
01
10
10
00
10
10
00
00
00
11
10
00
01
10
00
10
00
10
00
00
11
10
01
00
01
00
10
10
10
00
11
10
00
00
00
10
01
11
10
01
10
00
00
01
00
00
10
10
11
00
11
00
11
10
00
00
01
10
00
00
11
10
01
00
10
11
10
10
00
10
10
01
11
00
00
00
10
10
11
11
00
01
00
00
01
10
10
11
01
10
11
00
01
00
10
11
10
10
11
00
00
00
00
01
00
01
10
00
11
00
10
01
01
10
01
01
00
00
10
11
11
10
01
00
10
00
00
11
00
00
10
11
11
10
01
10
00
00
10
00
00
01
11
00
00
10
01
10
10
10
01
11
10
01
10
11
00
01
10
11
11
00
00
01
01
10
10
00
10
10
00
01
10
01
11
01
10
10
00
11
00
01
10
10
00
00
00
00
00
11
00
00
10
00
10
01
11
00
10
10
00
00
10
01
01
10
10
00
10
00
00
11
10
10
11
11
00
00
00
10
10
11
00
10
00
00
11
01
00
00
10
00
00
10
10
11
10
00
01
00
00
01
11
01
01
00
01
00
11
11
11
01
11
10
00
00
10
11
01
00
10
11
00
11
00
01
10
00
01
11
10
00
10
01
01
01
10
10
00
00
10
10
00
00
10
01
10
10
00
00
10
10
01
11
11
10
00
00
10
11
10
10
01
00
10
00
00
10
10
00
00
00
01
01
11
10
10
00
10
11
00
11
11
10
00
10
00
00
01
10
10
11
11
01
11
01
01
10
11
01
01
11
11
10
00
10
01
11
10
00
11
00
10
10
01
00
10
10
01
10
11
00
00
10
11
00
00
11
11
00
11
10
11
00
00
00
10
11
00
01
10
01
01
00
00
11
10
00
11
10
01
01
00
10
11
10
11
00
01
10
10
01
10
01
00
10
00
11
10
01
10
10
10
11
01
01
00
11
00
10
01
10
00
00
10
10
10
00
01
10
11
11
11
10
00
00
10
10
00
10
10
00
10
00
00
11
10
10
00
00
11
00
00
10
10
10
01
00
01
10
00
00
10
00
00
01
11
00
00
00
10
01
10
00
01
10
00
01
00
11
00
10
10
00
00
11
10
01
00
10
10
10
10
10
10
10
01
00
10
00
00
01
01
01
01
10
00
11
11
00
10
01
10
11
10
10
00
11
00
00
10
10
00
00
00
00
00
10
01
10
10
10
01
10
00
00
10
10
00
10
11
10
01
10
00
11
00
10
10
01
10
10
00
10
11
11
01
00
00
00
10
10
10
00
00
00
00
10
11
11
01
11
00
10
11
00
10
10
00
00
10
00
10
01
10
11
11
01
10
01
00
10
00
01
11
10
11
01
11
00
00
10
10
11
01
01
11
11
00
10
11
11
10
00
00
10
10
10
00
10
00
10
00
00
10
01
00
10
11
10
10
00
10
10
11
01
00
10
10
00
00
10
11
11
10
10
01
00
00
11
11
00
11
10
00
10
11
10
11
00
00
01
11
00
01
00
10
01
10
10
01
00
10
01
10
00
00
01
10
10
00
00
01
10
10
00
10
10
10
11
01
00
00
00
00
11
01
00
11
11
01
00
10
10
11
00
01
00
01
11
10
10
00
00
11
00
10
10
00
00
11
00
00
00
00
11
10
01
10
10
00
10
11
01
00
00
10
11
01
11
00
10
00
01
10
10
11
01
00
00
00
11
10
00
11
10
00
10
10
01
01
01
00
10
10
10
11
00
01
10
11
01
01
10
11
00
00
11
10
01
00
10
01
10
11
00
10
00
11
10
01
10
10
10
00
00
10
10
00
00
01
01
01
00
01
01
00
10
00
00
11
01
00
10
01
10
00
01
00
00
00
00
10
01
00
10
10
01
01
01
00
10
10
01
00
11
01
10
00
00
10
00
10
11
00
01
10
00
10
10
10
00
00
10
10
10
00
11
10
11
11
00
01
00
00
11
10
00
01
10
11
01
10
10
11
00
00
01
10
00
10
10
01
00
10
11
11
00
00
01
11
00
00
10
10
11
00
00
00
11
01
00
11
00
10
10
00
10
00
00
10
11
11
10
10
11
10
01
01
00
10
01
10
11
00
00
10
11
00
00
11
01
10
01
00
10
10
10
01
01
10
10
00
11
11
10
00
11
10
00
10
11
10
10
00
00
00
00
00
10
11
11
11
01
01
00
11
00
00
00
10
01
11
10
11
11
11
10
00
01
01
10
00
10
00
10
10
10
10
10
00
00
10
11
01
01
01
11
11
01
01
10
11
10
00
00
11
00
00
10
00
10
10
00
10
10
00
00
10
00
10
10
10
00
00
00
00
00
10
10
10
01
10
00
00
11
10
00
10
11
00
00
10
11
00
01
10
00
00
00
11
00
11
11
10
01
10
00
10
10
01
00
00
11
00
11
11
00
00
11
01
10
01
01
10
00
00
00
10
00
00
00
10
00
11
01
00
11
00
11
00
11
01
10
01
10
00
10
11
00
00
01
00
11
01
00
10
01
00
10
11
00
00
00
00
01
11
00
00
10
10
10
10
00
00
10
10
10
00
10
10
01
10
01
00
00
10
00
01
10
11
11
01
00
10
10
00
01
10
00
00
10
10
11
10
11
01
10
00
00
00
11
11
01
00
01
10
10
10
01
11
10
00
01
00
00
00
10
00
10
00
00
10
01
10
10
10
01
01
00
10
01
10
10
00
00
01
10
00
10
11
01
10
01
10
01
11
01
01
00
10
10
00
10
10
00
00
00
00
10
11
10
10
01
10
00
01
00
00
00
11
11
11
10
01
10
01
00
11
11
00
00
11
10
11
10
00
01
00
00
11
00
00
00
00
11
11
01
11
01
10
11
00
01
00
11
10
00
10
11
00
10
10
00
01
10
10
00
10
11
00
11
00
11
10
00
00
11
00
00
01
10
11
00
10
01
11
10
00
10
11
10
00
01
10
10
00
11
00
11
10
11
10
00
11
00
11
11
00
00
00
10
00
00
11
10
01
10
00
10
10
10
10
11
01
00
01
10
01
10
01
00
00
00
10
10
00
00
01
10
10
00
00
00
10
10
00
10
10
10
01
11
10
00
00
10
00
00
10
10
01
00
11
11
00
11
11
10
00
11
01
10
10
00
01
10
10
00
00
00
10
00
00
11
00
11
00
00
10
11
00
10
10
00
11
10
10
10
00
11
10
00
00
00
00
10
10
01
00
11
00
11
10
01
00
01
00
10
11
01
10
11
01
00
10
10
00
00
10
10
00
10
11
01
00
10
11
10
10
00
00
01
00
10
11
10
10
10
01
01
01
10
01
01
00
01
01
10
10
01
00
11
10
00
00
10
00
00
10
11
00
00
01
10
10
10
10
00
00
00
10
11
10
10
11
00
00
01
00
11
01
01
10
00
10
10
00
00
10
10
00
00
10
11
00
10
00
11
11
10
00
00
00
00
00
11
10
01
00
00
10
10
00
00
10
11
01
00
10
00
10
11
01
01
01
10
11
10
00
00
00
10
10
00
01
00
10
11
00
10
01
00
11
11
10
11
10
00
10
10
00
10
10
00
00
10
11
11
00
10
10
10
10
10
10
01
00
11
10
10
10
00
11
10
01
10
01
01
10
00
11
10
00
00
01
10
10
00
01
10
00
01
10
00
01
10
10
00
00
10
00
00
01
10
10
10
10
01
00
10
00
00
00
10
00
10
10
11
11
01
10
00
10
00
00
10
00
01
11
00
11
00
01
00
11
10
00
01
00
00
00
11
11
10
00
00
11
00
10
10
01
10
11
00
01
10
00
11
10
00
00
01
10
10
10
10
01
10
00
00
00
11
10
01
00
10
00
00
10
01
00
10
00
10
10
11
01
01
10
10
10
10
00
10
01
00
10
11
10
10
11
10
01
10
10
00
00
10
11
11
10
00
10
10
00
10
00
10
00
10
10
11
01
01
01
01
11
10
11
00
00
10
10
00
00
00
11
10
10
10
00
01
00
00
01
00
11
10
00
10
10
10
01
00
01
11
00
11
10
01
10
00
00
10
01
00
10
01
01
10
01
10
10
10
11
00
10
11
01
11
10
10
01
00
11
10
10
10
01
11
11
10
00
00
00
10
10
01
01
00
10
10
01
10
10
10
10
00
11
00
00
10
00
00
11
01
11
10
00
00
11
00
10
10
01
00
00
11
10
00
00
00
00
11
10
01
11
10
11
10
01
10
11
00
01
11
10
01
10
00
00
10
10
00
01
10
01
01
00
11
10
00
00
10
10
00
10
10
01
01
11
01
10
00
11
10
01
01
11
11
01
10
11
01
11
10
00
01
10
10
11
10
01
10
00
10
10
10
00
00
10
01
10
00
01
11
10
10
10
11
11
11
01
10
11
01
01
00
00
10
10
01
10
10
00
00
00
00
10
01
01
10
10
00
01
01
10
00
00
01
10
00
10
10
11
10
10
00
10
00
11
01
00
10
10
10
11
00
10
01
00
10
00
11
00
10
10
00
00
10
10
00
00
10
11
00
10
01
10
11
10
11
01
10
10
00
00
10
00
00
11
00
00
10
00
01
10
01
01
00
10
00
11
01
00
11
10
11
10
11
10
11
00
00
00
10
01
00
11
11
11
00
10
10
00
01
10
10
00
00
11
11
00
00
00
00
00
00
10
10
00
00
10
01
11
01
10
00
11
00
10
11
01
00
00
11
10
11
10
00
00
11
10
11
10
01
00
10
01
10
11
00
00
10
10
00
00
00
10
01
00
10
11
10
10
00
10
10
00
11
00
10
10
11
11
00
10
11
11
10
10
00
00
01
11
00
10
10
10
00
00
10
00
11
10
10
11
00
10
01
11
01
01
10
10
00
11
10
01
01
11
11
10
00
10
00
00
01
00
10
11
01
11
00
00
11
01
10
01
00
10
11
10
01
11
01
00
01
10
10
10
01
10
11
10
00
01
00
10
11
10
00
00
01
00
10
01
01
11
10
00
00
00
00
10
10
10
00
00
10
10
00
10
10
11
00
10
01
00
01
10
01
01
01
01
10
10
01
01
00
00
10
10
10
00
01
11
00
11
00
00
10
00
11
01
10
10
10
00
00
01
10
01
10
00
00
01
01
11
10
11
00
01
00
00
10
10
00
00
10
00
11
11
00
00
10
00
00
00
10
10
01
00
10
10
01
01
00
00
10
00
11
10
00
00
10
10
00
11
01
00
11
10
10
10
11
00
11
00
10
00
10
10
00
00
11
10
01
11
11
01
10
00
11
10
00
01
10
00
10
10
11
00
00
00
00
10
00
10
10
01
00
10
00
01
00
00
10
11
01
00
00
00
00
10
00
10
10
11
10
11
00
01
10
01
00
10
10
01
10
00
01
10
00
10
00
11
11
11
00
10
00
00
00
01
10
00
10
11
00
00
10
10
01
00
00
11
01
01
00
00
10
00
00
00
01
10
10
01
00
11
10
10
01
10
00
10
00
00
10
00
10
00
11
00
00
01
00
00
10
11
00
10
01
00
10
11
10
00
10
00
10
10
00
10
00
00
10
11
11
01
10
11
10
11
00
01
00
10
10
00
00
10
01
10
11
10
10
01
00
11
10
10
00
00
10
00
00
00
00
01
11
11
10
10
10
10
10
10
00
00
10
10
00
01
10
11
00
00
00
10
11
01
10
10
00
01
11
00
01
10
10
01
00
00
11
11
00
01
01
11
01
10
01
00
00
11
10
00
00
11
10
01
11
11
11
10
01
11
10
00
01
10
11
01
01
10
00
10
10
00
00
10
10
01
10
00
00
10
00
10
01
00
01
00
10
00
01
01
10
10
00
00
01
10
10
00
00
10
00
00
11
10
10
01
01
00
10
10
01
00
00
10
10
01
00
00
00
00
10
01
10
00
10
10
01
10
00
10
10
00
11
10
11
01
11
01
11
10
10
10
01
01
10
10
00
01
10
00
01
10
10
00
00
00
00
10
11
01
00
10
10
10
11
00
01
11
00
00
10
11
10
11
00
01
11
10
01
00
11
11
10
10
00
01
10
00
10
10
00
00
11
11
10
10
00
00
10
00
01
10
11
00
10
01
00
01
11
00
10
00
10
11
01
10
10
00
00
00
11
10
00
10
11
10
00
00
10
10
10
00
10
00
00
00
10
11
00
11
10
10
01
10
11
10
10
11
01
01
10
00
00
00
10
00
10
11
00
10
10
10
10
10
01
01
10
10
01
00
11
01
11
10
00
00
10
10
10
10
01
01
01
00
01
00
10
00
11
10
00
01
00
01
10
01
10
00
10
10
00
00
00
10
11
10
00
00
10
10
10
00
11
10
00
00
11
00
00
11
00
01
11
00
01
00
00
00
00
11
11
00
10
11
01
00
00
10
10
10
00
11
00
00
00
11
10
01
01
10
11
11
00
10
10
00
10
00
01
10
00
00
00
00
10
10
10
00
01
10
00
01
00
01
00
10
10
00
00
00
01
10
00
10
10
11
10
01
00
11
10
10
11
00
01
00
01
10
10
11
11
00
00
01
01
10
10
00
11
10
01
11
00
10
10
11
00
10
10
10
01
00
10
00
10
00
00
00
00
01
01
10
00
00
11
10
01
11
10
11
00
01
10
10
01
00
00
10
00
01
00
11
10
10
10
01
11
10
10
01
10
11
10
00
01
00
10
11
11
10
10
10
10
00
10
10
10
00
00
01
00
10
01
10
10
10
11
01
01
10
01
00
00
10
10
00
10
10
00
10
11
01
01
11
00
00
10
10
00
10
10
00
10
00
00
01
10
01
10
01
01
00
10
01
10
00
10
10
10
10
00
11
00
01
01
10
10
11
10
01
10
10
00
00
10
00
10
10
01
00
11
00
00
00
00
10
10
11
00
00
01
01
10
10
10
00
01
11
10
11
00
00
10
10
00
11
10
10
01
01
01
10
01
10
00
10
00
00
00
01
11
10
00
00
00
10
11
01
00
10
01
11
00
11
01
01
11
10
10
10
10
11
00
01
00
01
10
10
11
11
10
00
00
01
00
11
10
10
11
01
10
01
10
11
10
01
01
11
00
01
10
01
10
00
01
00
00
01
00
11
00
10
01
00
10
10
00
00
00
11
10
00
01
00
01
10
10
00
00
01
10
10
10
10
00
10
10
00
10
00
00
00
11
10
11
00
10
00
11
11
00
11
11
01
01
00
10
00
01
00
11
11
10
00
01
11
00
00
10
11
10
01
00
00
11
00
01
00
00
00
00
10
10
01
01
11
11
01
01
10
11
10
00
00
11
01
00
00
11
00
00
00
00
10
00
00
10
10
00
00
11
00
00
00
11
10
00
00
11
01
00
10
11
00
00
01
01
10
00
00
11
11
00
00
00
10
10
10
11
10
00
00
00
11
10
11
01
11
00
10
11
11
00
00
11
01
01
00
10
10
11
00
00
00
10
11
01
10
00
10
00
00
10
10
00
01
11
00
11
10
11
11
00
00
01
10
11
10
00
10
00
10
10
01
00
11
10
00
11
00
10
10
00
00
01
00
11
01
11
10
00
00
00
10
00
10
11
10
11
00
00
10
00
01
10
01
01
11
01
10
00
01
01
00
11
10
00
00
11
01
10
11
01
00
00
10
10
01
10
01
11
10
00
00
01
10
01
00
10
10
01
00
10
00
00
11
00
00
11
00
10
11
00
10
10
01
10
11
00
11
10
00
10
00
00
10
00
01
10
10
01
11
00
11
10
00
00
11
00
10
00
00
00
10
01
10
10
11
11
01
11
00
11
00
11
00
00
11
10
10
01
00
10
00
01
10
01
00
01
10
01
00
10
10
00
00
11
11
01
00
10
01
11
00
00
11
10
10
10
11
00
00
00
10
01
00
00
11
10
00
01
00
10
00
10
11
11
01
00
00
00
10
00
00
10
10
00
00
01
11
01
00
01
11
10
00
00
01
10
01
00
00
00
10
01
10
00
00
10
10
00
11
00
11
01
11
10
00
01
00
11
01
00
11
10
01
11
01
11
00
01
11
01
01
01
11
11
00
01
11
00
00
10
11
00
00
01
11
00
00
01
11
10
11
00
10
00
11
01
00
11
01
10
11
00
10
11
11
00
11
00
00
10
00
00
11
11
00
01
10
10
01
10
00
01
00
11
10
00
10
00
01
11
01
10
11
01
10
00
00
10
10
00
00
10
00
00
10
10
10
10
10
10
00
10
10
10
11
00
01
01
11
00
10
00
00
10
10
00
10
01
10
11
00
10
10
00
00
00
11
10
00
10
11
00
00
00
00
11
10
00
11
00
01
00
00
01
01
11
10
11
00
10
00
00
00
00
00
11
00
00
10
10
00
10
00
10
10
11
10
00
10
10
10
10
10
10
01
00
00
01
10
10
00
01
10
10
00
00
10
10
00
00
10
00
01
10
10
00
10
10
11
10
01
10
11
10
10
00
10
00
00
00
10
01
01
11
10
10
11
00
00
10
01
00
10
10
10
10
00
00
01
00
01
10
01
00
01
00
10
11
10
00
00
11
11
00
10
10
00
00
00
01
00
00
10
11
01
10
10
00
00
10
00
00
00
00
01
10
01
11
11
11
10
11
00
01
10
10
00
00
10
01
11
00
00
10
10
10
00
00
01
10
11
00
11
11
10
01
00
00
10
00
00
10
10
01
11
01
11
00
11
11
00
01
10
10
00
00
10
00
10
10
00
00
01
10
10
00
00
10
11
01
10
00
01
11
01
10
10
01
00
11
10
00
01
01
11
11
01
01
11
10
00
10
10
01
11
10
00
11
10
11
10
00
00
00
10
11
01
01
01
00
10
11
10
00
00
01
11
00
01
10
11
00
01
10
01
01
11
10
01
00
00
11
11
00
01
00
11
10
00
10
10
10
10
00
00
01
10
10
00
10
00
00
00
10
00
00
10
00
01
10
00
00
00
11
00
11
01
10
10
00
10
00
10
10
10
00
00
00
01
11
01
00
10
10
11
11
00
00
10
10
00
01
10
00
10
11
00
00
11
00
00
00
10
10
11
00
00
10
01
00
01
00
10
00
01
10
00
10
11
11
10
01
11
00
10
01
00
00
10
10
00
11
10
00
10
11
10
10
10
11
10
00
01
01
00
11
00
00
00
00
10
11
10
00
10
10
00
10
00
01
10
11
00
10
00
00
01
11
01
00
11
10
00
10
00
10
00
00
10
11
10
00
00
10
01
10
10
00
10
10
00
11
01
11
10
11
00
00
10
10
10
01
10
10
00
01
00
01
10
00
11
10
11
00
10
11
11
00
00
11
10
10
00
00
11
10
01
11
01
00
00
01
00
00
10
00
11
11
00
01
11
00
00
10
00
10
10
00
10
00
11
00
10
01
00
00
10
10
10
00
10
10
11
01
00
01
00
01
10
00
00
10
10
10
00
00
01
00
11
10
11
10
11
01
11
11
00
10
01
00
11
10
10
00
11
01
11
00
00
10
00
00
10
10
01
10
11
10
10
10
10
00
10
10
00
00
01
10
10
10
10
11
10
10
00
01
00
01
10
10
00
10
01
00
11
01
11
00
00
00
01
00
10
00
10
11
00
11
10
00
01
00
00
01
10
11
01
00
10
10
10
11
11
01
10
10
00
10
01
00
00
00
00
10
11
10
10
00
01
11
00
11
00
10
10
11
10
10
00
11
01
10
00
00
01
10
00
11
10
00
01
00
10
10
11
00
01
10
00
10
10
01
10
00
01
11
11
00
01
01
00
10
11
01
01
01
11
10
01
10
01
10
11
00
10
00
00
11
00
11
10
10
00
00
10
01
01
10
00
00
00
00
00
00
00
10
11
10
00
10
11
00
00
00
10
10
00
00
11
01
01
00
11
00
10
10
00
10
01
00
11
10
11
00
01
10
10
00
00
10
00
11
11
00
11
11
00
00
11
10
11
10
11
01
01
11
10
10
01
00
00
10
10
00
10
10
00
10
11
00
00
10
11
11
10
11
11
00
00
00
11
01
10
10
00
00
10
10
10
00
11
10
00
11
10
10
11
10
00
01
01
11
10
10
00
00
10
00
10
10
01
00
01
10
10
10
00
10
10
11
00
00
00
10
00
10
10
01
01
00
10
00
10
11
10
00
01
11
00
00
00
10
11
00
11
00
00
10
10
10
10
00
01
10
11
00
01
01
11
11
01
00
00
00
10
01
01
11
11
01
11
11
01
10
01
00
00
01
10
10
10
10
01
00
00
10
00
00
00
00
10
00
00
11
00
10
10
10
00
01
10
00
10
01
01
00
00
00
10
01
01
11
01
00
10
11
00
11
10
10
01
00
00
10
10
11
01
10
00
00
00
00
11
01
11
10
10
00
00
00
11
11
00
01
11
11
00
10
01
00
11
11
10
10
10
01
10
00
00
01
00
10
00
00
10
11
10
10
01
00
10
00
10
01
10
11
01
00
11
10
01
10
10
00
01
10
10
11
01
01
10
00
00
10
11
10
10
01
11
01
10
01
11
10
11
10
01
00
00
11
10
10
10
11
01
00
11
01
00
10
00
11
10
10
10
01
11
01
11
01
00
10
01
10
00
00
10
10
01
00
01
10
10
00
00
10
10
10
00
10
10
00
01
11
10
01
10
11
01
11
11
00
00
00
00
00
11
10
00
01
10
10
10
01
00
00
10
00
10
11
00
00
11
11
10
00
00
10
11
00
10
00
00
10
01
10
10
11
00
00
01
01
00
10
10
10
11
10
01
00
01
10
10
11
00
00
11
10
10
00
10
01
10
00
00
00
00
01
01
11
00
00
10
10
01
10
11
00
01
01
10
10
00
10
10
11
00
00
10
10
10
00
10
00
11
00
00
10
00
10
11
10
01
00
10
00
10
11
00
10
11
01
10
00
00
10
01
01
00
00
10
10
00
10
11
00
01
11
10
11
00
00
10
00
00
00
00
11
11
11
10
00
10
00
01
01
10
10
00
00
00
00
00
00
01
10
00
10
00
10
10
10
00
10
00
01
11
00
10
00
00
00
00
10
00
01
10
00
11
10
01
10
00
00
00
10
10
11
01
01
10
11
00
00
10
10
01
00
01
01
10
10
11
10
10
00
11
10
11
10
00
11
10
11
00
01
01
10
01
00
10
00
10
10
00
10
00
00
10
01
00
00
01
01
10
10
11
00
01
10
10
00
11
10
10
10
00
01
00
10
10
01
00
10
10
10
10
01
11
10
10
00
10
10
10
01
01
00
10
10
01
10
00
00
11
10
00
10
00
00
10
00
01
11
10
10
10
00
01
10
10
10
00
01
00
00
10
10
11
10
10
00
00
10
10
00
00
00
11
10
11
00
10
11
00
01
11
00
00
10
00
11
10
00
00
10
00
11
10
00
11
01
11
11
00
00
00
10
00
01
01
10
00
10
00
10
10
01
00
00
01
10
10
11
10
01
00
10
01
10
00
10
11
00
11
00
00
10
10
10
00
00
00
00
00
00
00
00
01
10
10
10
01
00
10
11
00
10
10
01
00
00
10
10
10
10
10
00
01
10
10
00
10
00
10
10
11
00
01
11
00
00
10
01
00
11
00
10
00
01
11
11
01
01
00
01
10
10
10
00
00
00
00
00
11
10
00
10
00
11
10
10
00
01
11
10
01
00
10
00
11
00
11
11
10
11
00
10
10
01
00
01
10
01
10
10
11
10
11
00
10
01
01
10
00
00
11
00
11
10
00
10
10
00
10
00
01
11
10
01
00
00
11
10
10
11
10
00
00
00
01
10
10
10
00
01
00
00
10
10
11
10
10
00
00
00
00
11
10
11
00
11
01
11
00
11
00
00
00
10
00
00
00
11
11
10
01
10
10
01
10
00
10
01
00
10
00
10
00
01
00
10
10
01
00
01
00
00
01
10
10
00
00
11
10
00
00
00
11
10
01
01
01
10
10
01
00
10
01
11
10
01
01
11
10
10
00
00
00
10
10
11
10
00
01
00
01
11
01
01
01
00
10
01
10
10
00
01
11
01
10
11
00
00
00
10
00
10
11
01
01
10
10
00
00
00
10
11
00
10
00
10
01
10
10
10
11
00
11
00
01
10
11
10
01
01
00
00
10
11
00
00
10
10
00
01
00
01
10
00
00
10
10
11
00
01
01
00
00
10
10
10
00
00
10
10
00
11
11
11
00
01
00
10
10
01
00
10
01
01
10
11
11
00
10
10
10
00
01
11
10
01
10
10
00
00
11
00
11
10
00
10
00
10
00
10
10
01
00
10
11
00
00
01
11
01
01
01
00
10
10
11
10
01
01
01
00
10
00
11
11
11
01
00
00
00
10
01
01
10
10
11
00
00
11
10
11
11
11
01
01
10
01
00
10
10
00
00
00
00
11
11
10
01
00
10
00
10
10
01
00
11
10
10
11
10
00
00
00
10
01
10
00
10
11
10
10
00
01
10
10
01
00
00
00
10
00
10
10
00
01
10
10
00
00
00
11
11
00
01
00
00
00
10
00
10
00
00
00
11
10
00
00
11
11
11
01
00
00
11
10
00
10
11
01
10
10
10
10
11
00
01
10
00
10
10
01
00
11
11
10
10
01
10
11
10
00
00
11
10
10
10
01
10
00
01
11
11
00
10
01
10
10
00
01
11
10
10
10
00
11
01
01
10
11
01
00
00
00
00
11
00
10
00
11
10
11
01
00
00
10
10
10
00
00
10
00
01
01
11
10
10
10
10
10
11
01
00
11
11
00
01
10
10
00
11
10
10
01
00
00
01
01
11
00
11
00
10
10
01
00
10
10
00
01
10
10
00
01
11
00
01
10
10
11
10
00
10
01
01
00
10
10
00
00
00
10
00
10
11
11
00
11
10
11
01
00
00
00
11
10
11
00
00
01
10
10
01
10
00
01
10
10
00
10
11
11
00
00
10
10
00
11
00
01
00
00
00
10
00
10
11
00
00
10
00
10
11
00
10
10
11
00
01
10
00
00
10
11
01
00
10
01
00
00
01
10
00
00
11
10
00
00
10
10
01
00
10
10
11
11
10
10
01
00
10
10
11
10
11
00
00
10
10
10
01
01
01
00
10
01
11
00
10
10
00
00
10
01
00
00
10
10
00
00
11
01
00
10
00
01
10
10
01
10
00
11
10
01
00
10
00
00
11
11
00
10
10
11
10
10
00
00
10
10
00
00
00
11
00
01
10
01
11
00
11
00
00
10
00
01
00
11
10
00
11
10
10
10
00
10
00
00
10
10
00
10
00
00
10
10
10
01
00
10
00
10
01
00
01
11
00
00
00
10
10
00
10
01
01
10
00
00
01
10
01
10
11
10
01
10
10
01
01
11
10
00
00
10
01
00
00
10
00
10
11
00
01
10
10
01
00
11
10
00
11
01
00
00
00
11
10
11
00
00
00
10
11
11
10
00
00
00
10
10
00
10
11
10
00
10
10
11
10
01
00
01
11
01
10
11
00
00
01
11
10
00
01
10
10
00
00
10
00
00
10
01
01
10
10
11
00
00
10
11
01
01
10
00
10
00
10
11
10
00
00
11
00
10
01
01
00
10
10
10
00
00
10
10
10
10
00
11
10
00
01
10
10
10
01
00
10
00
01
10
01
10
00
10
01
11
00
11
10
00
10
11
01
11
10
00
00
00
00
10
11
11
11
10
00
10
01
10
10
00
00
00
10
00
00
00
00
11
11
00
11
10
01
00
10
11
01
01
11
00
00
10
00
00
11
10
01
00
10
10
00
01
11
00
00
11
11
10
11
11
01
10
10
01
00
10
10
01
10
10
10
01
10
00
00
00
01
10
01
10
01
00
00
01
10
00
00
10
10
10
10
01
00
10
10
00
10
00
10
01
01
11
00
00
01
10
10
10
11
00
01
00
01
10
11
10
00
00
10
11
00
01
11
11
01
11
11
00
10
10
01
00
10
00
01
10
01
11
11
10
00
10
11
00
01
01
10
00
11
01
11
01
01
11
00
00
01
01
11
10
01
00
10
11
01
00
10
11
01
00
00
10
10
00
11
10
00
01
10
00
11
00
00
10
10
11
00
01
10
00
01
11
00
00
00
01
00
10
00
10
10
10
10
00
01
11
11
00
00
10
10
10
00
01
10
00
10
01
00
11
10
00
10
00
01
11
00
00
10
11
00
00
10
10
10
00
01
11
00
00
10
10
10
00
01
10
01
00
10
10
01
10
00
00
10
00
00
10
10
10
01
00
10
00
10
11
00
00
01
10
10
01
10
11
10
11
00
10
01
11
10
00
01
10
00
10
11
00
11
11
10
01
00
00
01
11
10
10
01
10
10
00
00
00
10
10
00
10
00
00
11
00
11
00
11
10
10
10
10
10
01
10
10
11
11
00
01
10
00
10
00
11
01
00
11
00
10
10
01
10
00
10
10
10
00
00
00
00
11
10
11
11
00
00
01
00
00
01
11
10
01
10
00
00
00
10
10
01
00
00
00
10
01
01
11
01
00
00
10
10
00
00
10
01
01
11
01
00
10
10
00
10
10
00
00
01
00
01
10
11
00
11
11
00
10
11
11
10
10
00
10
10
00
00
01
10
01
00
10
00
10
11
01
11
11
10
10
01
01
11
00
00
11
11
11
00
01
10
00
00
11
10
00
00
00
11
10
01
01
01
00
10
10
10
10
01
11
10
10
00
10
00
00
00
00
00
10
11
10
00
11
01
01
01
10
10
10
11
00
00
10
10
01
00
11
00
10
10
10
00
01
11
10
00
00
10
10
10
00
01
11
00
01
10
01
10
10
10
11
00
11
00
00
10
00
00
11
00
00
00
01
10
11
10
10
10
00
01
10
11
01
00
00
00
10
10
10
00
10
10
01
10
10
10
00
00
10
01
00
00
01
00
01
00
00
01
10
11
11
10
00
00
11
00
00
00
01
11
00
10
10
11
11
00
11
00
01
10
10
00
01
01
00
00
10
00
10
01
10
00
00
10
00
11
01
00
10
00
10
11
01
10
10
00
00
10
00
10
10
10
00
11
01
11
11
01
00
00
10
10
10
00
00
11
10
01
11
10
11
01
00
11
10
00
00
01
00
10
10
01
00
00
10
10
10
01
01
10
10
00
10
11
00
00
10
00
00
00
00
00
01
00
00
11
10
00
10
11
11
11
00
01
10
10
10
01
00
10
10
00
01
00
10
10
00
10
01
00
11
01
10
01
11
10
01
11
10
10
10
10
00
00
10
10
01
00
10
00
00
00
11
10
00
11
10
00
01
10
10
01
00
11
10
01
10
10
00
00
10
10
00
00
01
10
00
10
11
00
01
01
10
00
00
00
11
00
01
11
00
00
01
10
00
10
10
01
11
11
00
10
10
10
10
01
11
11
01
01
01
00
00
10
01
00
10
10
00
00
01
00
10
00
11
00
10
01
11
10
10
00
00
00
11
00
10
11
10
00
00
00
10
10
00
10
00
01
11
00
00
00
01
11
00
11
00
00
10
10
10
01
01
11
11
00
00
10
00
10
00
00
11
01
10
10
00
11
01
10
01
01
11
10
11
10
00
00
10
00
01
10
00
10
10
11
10
10
11
00
01
00
10
11
00
01
10
10
00
10
00
01
00
01
01
10
11
11
11
00
00
10
10
11
00
10
01
00
00
10
10
00
00
01
00
00
10
01
10
00
11
10
10
01
01
10
10
10
00
10
00
11
10
01
00
10
10
01
00
10
00
01
00
00
11
11
01
00
10
01
00
10
11
00
00
10
10
00
01
01
11
11
00
11
00
00
00
10
00
01
00
10
10
10
00
10
11
10
00
00
01
10
10
00
10
00
01
11
01
01
10
10
10
00
10
10
01
00
10
10
10
00
11
00
00
00
00
11
00
00
00
10
10
00
10
00
10
10
10
01
00
00
11
10
00
10
00
10
10
00
11
00
10
00
10
00
00
00
01
00
10
10
00
11
10
01
00
10
10
00
11
10
11
00
00
01
11
01
10
11
00
10
01
11
01
01
11
00
11
10
00
00
10
10
00
11
10
00
10
10
01
11
11
01
10
01
11
10
00
01
10
10
00
00
10
10
00
11
00
00
00
00
10
10
00
01
01
00
11
00
00
11
00
11
10
01
00
11
10
10
01
01
00
11
00
00
01
10
00
01
10
00
00
10
01
10
10
11
00
10
01
00
01
00
01
11
11
00
01
10
10
00
00
01
11
10
00
01
11
10
00
00
00
01
11
10
10
01
01
00
00
10
10
00
00
00
10
01
00
10
10
11
11
11
00
00
01
11
10
10
10
00
11
01
01
10
00
01
11
00
00
00
11
01
00
11
00
10
11
01
00
00
01
00
01
00
10
10
00
00
00
10
10
01
00
11
00
11
00
01
11
00
00
00
00
11
10
00
01
00
01
10
10
10
00
11
10
11
00
00
00
00
01
11
10
00
01
10
10
10
00
10
00
11
10
00
01
00
11
00
00
00
10
00
10
00
00
11
10
10
00
00
01
10
11
00
10
10
01
10
10
10
00
10
11
00
11
00
01
10
10
10
00
10
10
01
11
10
10
11
00
00
10
01
11
10
01
00
00
00
10
00
01
10
01
01
10
11
00
00
10
00
00
00
01
10
01
11
10
00
10
10
01
10
01
00
10
11
00
01
11
11
01
01
10
00
00
10
10
10
00
00
10
00
10
01
10
10
10
00
01
00
10
01
11
10
11
10
10
10
00
00
11
00
01
10
01
00
11
10
01
00
00
01
10
01
11
10
00
00
10
01
01
10
11
00
10
10
10
01
11
01
01
11
00
00
10
01
00
11
10
10
01
01
00
10
10
00
10
01
01
10
10
10
00
00
11
10
01
10
10
01
00
01
00
00
10
11
10
11
01
00
00
10
11
10
01
00
11
10
10
00
00
10
11
10
00
11
10
01
11
11
10
01
00
10
10
01
01
10
10
01
10
10
10
00
10
10
01
00
10
10
00
00
01
10
10
00
10
10
11
10
11
00
00
10
00
00
10
00
00
10
00
00
10
10
11
00
00
00
00
10
10
11
11
10
01
10
00
11
00
10
00
10
11
00
01
00
11
10
00
10
11
00
00
10
11
10
00
11
10
00
00
00
10
10
00
11
11
00
10
11
10
10
10
00
10
11
00
00
10
10
10
00
00
00
10
00
11
11
00
10
10
10
00
00
10
01
01
11
00
11
11
01
10
01
10
10
10
01
10
10
00
00
10
10
10
00
10
00
00
01
10
00
00
11
00
10
10
11
10
00
00
01
11
01
10
11
00
00
01
11
00
00
10
00
01
01
11
10
11
11
00
00
01
00
10
00
11
10
01
01
10
00
10
11
00
01
11
00
01
01
00
01
10
10
01
01
10
10
00
00
10
00
00
01
11
10
10
10
10
10
10
10
11
01
00
01
00
10
01
10
01
00
00
11
11
11
11
00
10
11
00
00
01
10
00
01
10
10
00
00
10
01
00
11
10
00
10
01
00
11
11
00
00
00
11
00
11
10
00
00
01
10
11
10
11
01
00
00
00
10
10
11
00
00
10
00
11
10
11
00
11
10
10
10
10
10
00
10
10
00
00
10
11
10
10
00
11
00
00
10
00
10
00
00
10
00
10
11
00
10
01
01
10
01
01
11
01
10
10
00
00
00
10
10
00
00
10
01
10
10
01
00
11
00
10
00
01
11
01
10
11
11
01
10
01
11
10
01
00
11
01
11
11
00
10
11
10
00
01
11
10
00
10
00
10
00
00
11
10
00
10
00
01
10
10
10
00
01
01
01
10
00
10
10
00
01
00
10
10
00
10
11
01
10
10
10
00
00
00
01
11
11
00
01
10
11
01
00
10
10
01
00
11
10
10
11
01
00
10
01
00
00
10
10
11
10
11
00
11
10
01
00
01
00
00
01
11
10
00
00
10
10
00
11
00
01
11
11
00
00
00
10
10
01
00
10
10
00
01
10
10
10
10
10
00
11
00
00
00
10
00
01
10
10
00
01
00
10
00
01
00
00
00
11
10
00
10
10
10
00
10
10
00
00
10
00
01
01
00
10
00
10
10
11
11
01
00
00
01
00
00
01
00
10
10
00
00
11
01
01
10
10
00
01
11
11
00
10
11
00
10
10
11
00
00
10
01
00
10
00
11
01
10
10
00
10
01
10
00
00
11
10
10
01
11
01
10
00
01
11
10
10
10
00
01
00
10
10
10
01
00
00
01
10
10
00
11
10
00
01
10
10
01
10
00
01
00
00
00
10
10
11
00
01
11
10
11
11
11
11
01
10
11
00
01
00
10
10
00
10
10
01
10
00
10
00
10
00
00
01
11
00
11
00
10
00
01
11
00
00
10
11
10
00
10
01
10
11
00
10
10
01
01
10
00
11
11
01
10
11
11
10
10
11
01
00
10
00
10
00
00
10
01
10
11
00
01
11
00
00
10
10
01
10
01
10
00
10
10
01
10
10
00
10
10
10
01
10
10
00
11
11
01
01
00
00
11
00
00
10
10
10
10
00
00
11
10
00
11
00
01
11
01
00
01
00
01
10
11
10
00
10
10
10
00
00
11
10
00
10
10
10
01
00
00
00
11
10
10
10
10
10
00
00
10
11
10
01
00
00
01
10
00
10
00
00
01
00
11
01
01
01
10
11
11
01
10
00
00
10
01
01
00
11
11
00
11
00
11
00
00
11
10
01
11
00
01
00
10
10
00
00
00
10
10
10
00
10
00
00
10
10
10
10
10
00
00
00
10
11
00
11
00
01
10
11
10
00
01
11
01
00
10
10
10
10
00
00
00
11
11
10
00
10
11
00
01
11
10
10
01
11
11
00
00
10
01
10
00
10
00
00
00
10
10
10
01
11
01
11
00
00
10
10
11
00
00
10
10
01
00
10
10
11
01
00
10
00
00
10
10
00
11
11
00
01
10
01
10
01
10
11
00
01
11
00
11
00
00
10
11
00
11
10
11
11
00
11
01
01
10
01
01
01
11
11
11
00
10
10
10
00
00
11
11
10
10
00
00
10
10
00
01
00
10
10
10
10
10
10
00
01
00
11
00
01
10
00
00
00
00
10
00
10
10
00
00
00
11
00
10
01
00
10
00
11
10
10
10
00
10
10
00
10
10
10
10
00
11
11
11
11
00
11
01
00
11
11
00
00
10
10
10
10
01
10
10
01
10
01
10
00
00
10
01
11
00
01
10
10
10
10
01
00
00
11
01
00
10
10
01
01
10
01
01
10
01
00
10
11
00
00
11
00
00
00
11
00
00
10
11
01
10
00
00
10
10
10
10
00
00
11
01
00
00
00
10
00
10
10
00
10
01
10
00
11
10
10
11
00
10
10
11
01
00
00
10
00
10
11
01
10
10
00
00
11
10
00
11
10
01
10
00
00
01
10
10
11
00
11
00
11
00
10
10
00
00
11
10
01
00
01
11
10
10
00
00
10
01
10
00
01
11
10
01
10
00
01
10
10
00
10
11
10
01
00
00
00
10
00
11
00
00
10
11
11
11
00
00
01
00
01
11
00
00
10
00
11
11
00
01
01
01
00
00
10
11
01
10
01
00
10
01
10
10
00
00
10
01
01
01
10
00
01
10
10
11
11
00
00
01
10
00
10
00
00
10
01
10
00
00
10
10
00
00
01
00
10
10
00
00
10
00
00
10
01
00
10
10
11
01
00
11
10
10
10
01
10
00
00
11
00
10
00
11
11
00
10
00
00
10
10
01
00
00
00
10
11
10
10
01
11
01
00
11
00
00
01
01
10
10
01
01
00
01
00
01
00
10
10
10
00
11
10
01
00
11
10
01
01
01
10
00
01
00
10
10
00
10
00
10
11
00
10
01
00
01
00
01
11
00
00
10
00
10
00
10
10
10
00
00
00
00
00
10
10
11
10
01
01
01
01
00
10
10
01
00
10
11
00
00
10
00
10
01
00
11
01
11
11
10
01
11
00
11
00
01
00
10
11
00
10
10
01
01
01
01
00
00
11
00
01
11
11
01
00
10
11
10
00
10
10
00
01
10
11
00
01
00
01
00
00
11
10
10
00
10
11
10
00
11
01
01
01
11
10
00
00
11
10
11
00
00
00
00
10
01
10
11
00
00
10
10
11
01
00
10
11
10
00
11
00
01
00
10
10
10
00
10
01
00
11
10
10
00
10
00
10
10
10
11
00
00
00
11
01
00
00
11
10
00
10
10
10
00
01
01
01
10
10
10
10
01
00
10
00
10
11
10
10
11
10
00
10
00
01
00
11
01
11
11
11
01
00
10
10
11
00
00
00
10
11
00
01
11
01
11
10
00
10
11
10
00
00
10
10
00
01
00
00
10
10
00
00
10
01
11
11
00
01
10
10
01
00
00
00
00
10
01
10
01
10
10
10
00
10
00
01
10
11
00
01
01
10
10
11
11
11
00
01
00
00
10
00
11
10
01
01
01
00
01
10
11
00
01
10
10
00
11
01
00
11
10
01
11
00
10
01
00
11
00
01
10
11
11
11
00
01
10
11
10
01
01
11
10
00
10
10
10
00
10
10
00
11
00
00
00
10
01
01
10
11
01
01
01
10
10
11
01
00
10
11
00
01
11
10
00
10
00
00
10
10
00
00
01
00
00
10
00
11
11
01
00
10
10
11
00
00
10
10
11
11
10
00
01
11
01
11
10
00
01
10
10
00
00
10
10
00
10
10
01
01
00
10
10
10
10
00
00
10
11
00
11
00
01
00
10
10
10
11
11
01
00
01
00
10
01
10
00
01
01
11
01
01
01
01
00
01
11
10
00
10
11
00
10
10
11
01
11
00
00
10
10
10
10
10
10
00
01
00
00
10
01
00
11
00
01
10
01
10
10
11
00
10
10
01
00
10
00
00
01
10
01
10
11
10
10
01
11
00
11
00
00
00
01
01
11
00
00
11
10
11
00
00
10
00
01
00
10
11
00
00
11
10
00
00
10
11
00
00
10
01
01
00
00
10
10
00
10
11
00
01
11
10
00
10
00
10
00
00
10
11
10
01
01
10
11
00
00
00
00
10
00
10
11
10
00
10
10
10
00
01
11
01
00
10
00
11
01
11
00
00
10
00
10
00
00
10
10
10
00
11
10
10
10
00
00
10
00
01
10
01
10
00
11
11
10
00
00
10
00
00
11
00
00
11
00
10
10
10
01
10
10
10
10
00
11
11
00
10
10
10
00
00
10
10
00
10
01
01
10
00
10
00
00
00
10
10
10
00
00
10
10
00
00
01
00
10
11
00
00
00
11
10
11
10
10
00
00
00
00
10
11
11
01
01
01
11
00
10
00
00
11
00
01
10
10
10
00
00
10
10
00
11
01
10
10
00
00
10
00
10
11
10
11
01
01
00
00
10
00
01
10
10
00
00
10
10
00
00
10
11
01
11
10
11
01
00
11
11
10
00
10
01
00
11
01
10
11
00
10
00
01
11
00
01
10
10
00
10
11
00
01
11
00
11
00
00
10
11
00
00
11
11
11
01
01
10
01
01
00
10
01
00
10
11
10
11
01
10
00
00
10
01
10
00
01
10
11
10
00
01
11
01
01
00
10
01
01
11
10
00
00
00
10
00
01
11
00
10
01
10
10
00
01
10
10
00
00
10
10
11
11
00
01
10
00
01
10
00
10
10
00
00
11
10
01
01
00
00
11
00
11
00
01
10
10
01
10
00
00
01
11
11
10
01
01
11
00
00
10
10
10
00
01
10
10
11
00
01
00
00
10
00
11
01
01
10
10
00
00
10
00
10
01
11
00
11
00
00
10
00
11
00
00
10
11
00
00
11
11
01
00
10
00
01
00
01
10
11
10
11
10
00
00
10
10
10
01
00
00
00
11
10
00
00
10
10
00
00
11
00
10
00
00
11
00
01
11
11
00
01
00
10
11
11
10
00
01
10
10
00
11
00
10
10
01
10
00
11
01
00
01
10
00
00
10
11
00
10
10
10
01
10
00
00
01
01
01
10
01
00
00
11
00
10
10
10
01
11
10
01
10
10
01
00
11
10
01
01
10
10
00
11
10
01
00
10
01
11
11
11
10
01
10
10
01
11
11
10
00
00
10
10
01
01
11
10
01
10
10
11
01
01
11
10
10
00
00
00
10
10
00
01
10
10
00
00
10
10
00
01
10
10
10
11
10
11
01
00
10
11
10
11
01
00
10
11
10
11
01
01
10
11
00
00
00
11
00
01
10
00
00
11
01
00
00
00
10
00
10
01
10
00
00
10
10
10
00
00
00
00
11
10
00
00
01
00
10
01
00
00
01
10
01
10
01
10
11
01
01
10
01
01
10
00
01
00
11
00
00
11
10
01
00
10
11
00
10
00
01
00
00
11
10
11
10
10
10
00
10
10
00
00
10
10
00
00
10
00
10
10
10
01
01
00
00
01
00
00
11
10
00
10
10
01
00
00
10
11
10
10
10
00
01
11
00
10
00
01
00
01
10
01
00
10
11
11
10
01
10
10
01
10
11
00
10
00
01
10
01
00
10
11
01
10
11
11
00
10
11
11
00
00
11
00
01
10
11
00
00
00
01
01
11
01
00
11
10
00
01
00
10
10
00
01
01
11
11
11
00
10
01
00
01
11
11
00
00
11
10
10
01
10
11
00
10
01
11
00
11
00
00
00
00
10
10
00
00
11
10
00
00
00
10
10
00
00
00
00
11
11
00
10
10
11
10
11
00
10
11
00
10
00
10
01
10
10
00
11
00
01
01
00
10
10
00
00
10
10
10
01
00
10
10
00
01
01
10
10
10
00
00
10
01
11
01
10
01
11
10
10
00
00
10
00
01
11
10
00
01
10
10
10
01
11
01
00
11
10
10
11
00
10
10
01
00
11
00
00
00
10
01
11
10
00
10
00
00
11
10
11
01
00
10
00
01
10
10
01
10
00
10
11
01
00
10
00
01
10
11
00
10
11
11
10
10
10
00
00
00
00
11
00
00
00
10
00
11
11
11
00
10
00
11
11
10
00
00
10
10
10
00
10
01
00
00
11
10
01
11
10
01
01
10
11
00
01
00
10
11
10
01
00
01
10
00
01
00
10
10
10
00
10
10
01
00
10
10
10
00
10
10
00
01
11
00
00
10
10
10
00
01
11
10
00
10
10
10
00
01
10
11
00
10
01
11
01
10
11
00
01
10
00
10
10
11
00
01
10
01
00
10
10
00
01
01
10
11
10
00
10
00
10
10
00
00
00
10
00
00
01
10
10
00
10
11
01
00
01
10
11
10
01
00
01
00
10
10
10
00
00
00
11
10
00
00
00
10
01
10
00
00
10
10
10
11
10
00
10
00
01
10
11
00
00
10
01
10
10
00
00
11
10
00
01
01
10
10
01
00
11
01
11
11
00
11
01
00
10
10
11
00
10
00
01
00
00
10
11
10
01
11
01
10
10
01
01
00
11
11
00
10
01
10
10
01
00
10
11
11
00
10
11
11
10
00
11
10
01
00
00
11
00
10
10
00
00
11
10
00
01
00
00
10
11
11
11
10
10
00
01
10
01
10
10
10
00
11
00
01
10
10
00
00
01
11
10
00
00
00
10
10
10
00
01
11
11
10
11
10
00
01
00
11
10
01
10
00
10
01
11
10
01
01
00
10
01
01
10
00
10
10
00
00
00
10
11
01
10
10
00
00
11
11
00
11
10
10
10
00
00
10
00
01
10
11
10
01
00
10
01
00
01
10
01
00
00
11
10
10
00
00
10
11
10
11
00
10
10
01
01
10
10
00
00
10
10
01
10
00
10
01
10
00
01
10
00
00
11
00
01
10
10
10
00
01
00
00
10
10
00
00
10
11
00
10
11
00
00
00
10
10
11
00
01
10
01
10
10
10
11
10
00
10
01
00
00
00
10
00
01
00
10
00
10
00
10
10
00
11
10
11
10
00
10
11
00
10
00
00
10
00
10
11
00
00
10
11
00
01
00
01
11
11
11
10
00
00
10
11
11
00
00
10
10
10
10
11
11
01
00
10
10
00
00
11
10
00
10
10
01
10
11
01
00
00
10
10
00
10
11
00
11
00
11
10
10
00
00
00
11
01
00
00
10
11
00
01
11
11
00
01
11
00
01
10
10
11
00
01
10
10
00
10
10
11
00
00
10
00
00
01
10
10
01
00
00
00
00
10
10
01
10
11
01
00
11
10
00
01
11
10
00
11
10
11
10
10
00
01
10
11
01
01
00
10
10
10
11
00
11
10
01
01
10
01
00
01
10
00
01
00
10
00
11
10
01
00
10
10
00
11
10
10
00
00
11
10
00
10
01
10
00
11
00
11
01
11
11
11
01
11
11
01
01
10
11
01
00
10
11
00
01
10
11
00
11
10
00
10
10
10
11
01
01
11
10
11
10
00
00
11
10
00
01
10
10
00
10
00
10
01
10
10
00
00
10
10
00
00
11
00
00
10
01
10
11
11
00
10
10
10
10
10
00
10
01
01
01
10
11
10
10
10
00
00
00
10
10
10
01
01
11
10
11
00
11
01
01
10
00
11
11
10
10
00
01
00
10
10
11
00
10
10
00
10
11
00
01
00
01
00
01
00
11
10
00
11
10
00
10
10
11
00
00
10
01
00
00
00
10
00
01
10
11
10
00
11
10
10
01
00
00
00
10
00
00
10
01
00
10
11
01
00
00
10
10
00
00
00
10
10
00
00
00
00
10
00
11
01
00
11
00
10
00
10
00
00
10
11
10
01
00
00
00
01
01
10
10
00
11
01
10
11
00
10
00
11
00
00
11
00
00
10
11
00
11
10
01
00
10
10
01
10
10
10
11
10
01
10
01
00
11
00
00
10
10
00
00
00
10
10
00
11
10
01
10
00
01
00
10
10
10
00
01
01
01
10
10
10
01
11
01
10
10
00
11
00
10
01
00
11
00
10
10
10
01
00
10
10
10
11
10
01
00
10
00
00
11
00
10
10
00
11
01
01
10
00
10
11
11
10
01
00
10
00
00
11
10
00
00
01
11
00
10
10
11
10
10
01
10
01
01
01
10
11
00
00
10
10
00
01
01
10
00
00
00
00
00
01
10
00
01
01
00
01
10
10
01
00
00
01
00
10
10
00
11
11
01
00
11
00
00
11
10
00
00
10
10
00
00
00
10
10
11
10
10
10
10
00
10
10
00
00
10
01
01
10
10
11
10
10
10
00
00
00
10
11
00
10
00
10
10
01
01
11
10
10
10
10
10
01
00
10
00
01
10
11
00
10
10
11
10
00
10
10
10
10
11
10
11
00
00
00
10
10
00
01
10
10
01
11
10
11
00
10
10
00
00
00
10
11
01
01
11
00
10
00
00
10
01
00
10
00
01
10
11
01
00
10
01
11
11
01
00
00
10
11
00
00
11
11
01
00
00
00
00
10
10
10
01
00
10
00
11
10
10
00
01
00
11
10
11
00
10
10
10
11
00
01
01
11
10
00
10
01
00
10
10
00
11
11
00
01
11
01
10
01
10
01
10
10
11
00
11
11
00
00
11
00
00
11
10
00
00
10
01
00
11
00
01
10
00
00
10
10
11
01
00
10
10
10
00
01
00
10
10
10
00
00
10
11
10
10
10
01
10
00
10
00
00
10
00
01
00
01
01
00
10
10
00
00
10
10
00
10
10
00
00
00
00
10
10
10
10
00
10
10
01
10
01
10
10
00
00
10
00
11
10
10
00
01
00
10
00
00
00
01
11
11
00
11
01
00
01
00
10
11
00
11
00
01
10
01
10
10
00
00
10
11
00
11
10
10
01
00
00
00
01
01
00
11
10
00
01
11
00
11
10
00
10
10
01
01
11
10
10
00
10
10
01
10
11
11
11
10
00
00
10
00
00
00
10
00
11
10
10
00
10
10
01
10
11
11
00
10
01
01
01
00
10
11
10
10
00
00
11
00
10
10
11
11
00
00
10
00
10
01
00
01
10
00
01
01
00
10
10
00
11
00
00
11
01
01
11
11
11
10
00
00
00
11
00
01
10
10
10
10
10
00
00
11
01
01
00
10
00
00
00
00
11
10
10
11
00
10
11
01
00
11
01
01
00
11
00
10
01
10
11
10
10
00
11
01
11
10
00
10
10
00
00
01
11
10
00
11
00
01
10
10
11
00
00
10
10
00
11
10
00
01
00
01
00
00
00
00
11
10
01
01
11
00
11
00
10
11
11
10
01
00
00
00
10
10
01
11
00
10
10
01
10
10
10
11
10
10
01
00
00
11
01
00
10
00
10
00
01
10
00
00
10
00
00
10
00
10
10
00
10
00
01
01
11
10
00
00
10
10
10
10
00
01
10
11
00
10
10
00
01
10
00
00
10
10
00
10
10
00
01
10
11
00
00
11
01
01
00
00
10
01
01
00
10
10
10
10
00
10
10
10
10
10
00
01
00
10
10
10
01
10
10
01
00
00
11
00
10
10
11
11
00
10
01
00
01
10
00
11
00
10
10
00
10
00
00
01
10
00
10
10
01
10
10
00
01
10
00
11
00
01
10
11
00
11
10
00
11
10
01
00
00
00
10
00
00
00
11
00
10
00
00
10
11
00
10
11
01
01
00
11
10
00
00
10
00
10
11
01
00
11
00
11
00
00
11
00
11
01
00
11
01
10
00
00
10
10
00
00
11
00
00
11
00
10
10
10
01
00
10
00
10
11
00
10
00
10
10
00
10
10
10
11
11
10
10
00
10
00
00
10
11
10
01
10
11
01
10
00
01
10
10
01
00
10
01
11
10
00
10
01
11
00
00
11
00
01
11
10
00
11
10
01
01
11
00
00
00
11
00
00
11
10
11
00
10
11
10
11
00
00
10
10
10
01
00
10
00
00
01
00
11
10
00
01
01
00
01
01
10
11
10
00
01
00
10
11
11
10
00
00
11
11
11
00
00
00
10
00
00
11
10
11
00
00
11
00
00
00
10
10
01
00
10
10
00
01
01
00
00
10
00
00
01
01
11
10
10
00
00
10
11
01
01
01
10
01
00
11
11
10
01
00
10
10
00
00
00
01
11
10
11
00
10
11
00
10
01
01
11
01
00
00
01
01
00
10
10
01
00
11
10
00
01
00
00
11
10
00
01
11
10
10
00
10
00
00
11
00
11
10
00
00
10
00
10
10
01
10
10
00
11
10
10
00
00
10
00
00
00
01
10
00
00
00
00
00
10
11
10
00
11
00
11
01
11
11
00
10
11
11
00
00
01
10
00
10
11
10
10
01
00
00
00
00
00
00
01
10
00
01
00
11
10
01
00
00
10
11
10
00
00
10
00
11
00
00
10
11
01
10
10
10
00
10
10
00
00
01
11
01
11
00
00
11
10
01
10
10
00
10
01
00
11
10
00
00
11
00
00
10
10
01
00
11
00
00
11
00
11
10
11
00
01
11
10
10
00
10
00
01
10
10
00
00
11
01
00
10
00
00
00
10
10
01
11
00
00
10
10
00
10
11
01
11
11
00
11
00
01
10
00
01
00
01
10
10
00
10
10
11
10
10
11
10
00
10
11
10
01
00
01
01
11
00
00
10
11
11
00
11
10
11
00
00
11
10
01
01
10
00
00
10
00
00
10
00
10
10
00
10
00
00
10
00
10
01
01
01
01
10
01
01
01
11
10
10
01
10
10
00
00
10
01
00
00
11
01
11
00
00
10
10
01
00
11
10
00
00
00
00
00
00
11
10
11
10
11
10
11
00
01
10
10
01
00
00
10
01
00
10
00
01
10
11
00
00
11
11
10
01
00
11
00
00
10
10
01
10
10
00
11
10
01
10
11
00
10
00
00
10
10
10
01
01
10
00
10
10
00
10
10
00
00
00
00
11
11
10
00
10
10
00
10
01
00
10
10
01
01
00
00
00
01
00
11
10
11
00
10
01
11
01
01
00
10
00
00
01
11
10
01
10
00
01
00
11
11
00
01
00
10
10
01
00
00
11
00
00
11
00
11
10
10
00
00
10
00
11
10
00
11
00
11
10
00
00
00
00
10
10
00
00
11
00
00
11
10
11
10
00
00
00
10
11
00
00
11
00
00
10
11
00
00
11
00
10
11
00
00
00
00
10
00
01
10
00
10
10
00
11
11
10
10
10
00
01
00
00
11
00
00
00
10
11
10
01
00
11
00
00
11
00
11
00
01
10
10
00
01
00
01
00
10
10
01
00
11
01
00
00
11
01
00
00
10
10
00
00
00
00
11
01
00
10
00
10
10
00
00
11
10
10
00
01
01
01
11
10
10
01
00
10
00
11
10
10
01
10
00
11
10
01
10
00
00
00
00
10
10
00
11
10
00
01
10
10
10
10
11
00
11
00
11
00
01
01
01
10
11
11
10
11
00
00
01
01
00
11
10
00
00
10
11
00
00
10
11
01
01
01
10
10
00
00
00
01
10
11
00
00
11
01
00
00
10
00
11
01
01
01
10
10
00
11
10
11
00
00
10
00
10
00
00
10
10
01
00
00
00
10
10
11
00
00
01
00
11
00
10
10
00
00
11
11
01
00
11
01
11
00
00
10
10
10
10
01
00
01
00
00
10
10
01
11
01
01
01
10
01
01
10
10
11
00
00
00
00
10
01
00
00
10
01
11
11
10
10
01
00
00
00
10
01
01
11
10
00
10
10
10
10
00
00
00
10
01
11
11
01
10
01
00
00
00
10
10
10
00
01
00
10
10
00
10
01
10
10
01
01
00
00
00
10
00
11
11
10
00
01
11
10
10
10
00
00
00
00
11
10
11
10
11
00
01
10
11
10
00
11
10
00
01
11
10
00
01
01
00
00
11
00
00
10
10
00
00
01
11
11
00
01
11
00
10
10
00
01
11
10
01
10
10
00
00
10
01
00
10
10
00
10
10
10
11
10
00
00
11
00
11
01
01
11
00
11
00
11
01
00
10
01
10
10
01
01
00
11
11
10
10
00
11
10
10
01
00
01
00
00
11
10
11
10
01
01
00
10
11
11
00
11
11
00
00
10
10
01
10
00
00
10
00
00
01
10
10
10
10
11
00
10
10
00
00
11
00
00
00
00
01
10
10
10
11
10
10
10
01
10
11
00
00
11
10
00
00
10
10
00
10
10
11
00
11
10
01
01
11
00
10
00
01
10
10
10
11
10
01
00
10
11
11
00
10
01
10
00
00
10
10
00
11
10
00
10
01
10
01
00
00
01
10
00
00
00
10
11
10
11
10
11
01
00
00
01
00
10
01
00
10
00
00
10
10
01
10
01
00
01
00
01
00
10
10
01
11
11
00
00
00
00
11
11
10
10
10
00
01
01
01
11
11
10
00
00
00
10
10
00
11
10
00
00
10
10
00
10
01
11
00
00
10
11
00
10
10
00
01
10
10
00
01
10
10
10
10
00
00
00
10
10
10
00
00
00
00
00
00
10
00
10
01
10
00
00
00
10
01
11
00
11
10
00
00
01
10
11
01
00
01
11
11
10
00
00
11
01
01
00
11
01
01
00
10
10
10
11
00
01
10
10
00
10
11
00
00
10
10
00
10
10
00
01
00
00
00
00
11
11
00
10
10
11
00
10
11
00
00
00
00
11
00
01
00
10
01
11
00
00
11
10
01
10
11
00
00
11
10
01
00
10
11
10
01
10
10
00
00
10
10
10
00
10
00
00
11
10
10
00
00
01
11
10
01
10
00
10
11
11
01
11
10
11
10
01
10
11
00
10
00
01
00
01
00
11
11
10
00
10
11
01
11
10
10
00
00
10
00
10
10
01
00
00
10
01
00
11
10
00
00
10
10
00
11
10
01
10
10
00
11
10
00
00
11
10
00
00
00
01
10
10
10
11
00
10
00
01
10
11
10
00
11
10
10
00
11
11
11
01
00
10
10
11
11
00
01
11
11
00
11
00
00
11
11
10
10
00
00
00
01
10
10
00
00
00
00
00
11
00
11
00
11
10
00
00
00
00
10
11
01
00
10
11
11
10
10
00
10
11
00
10
11
00
00
10
11
01
10
11
00
10
10
10
00
00
00
01
01
00
11
01
00
00
01
10
10
00
00
00
10
00
00
00
11
10
10
01
10
10
10
10
00
10
00
11
01
01
00
11
11
11
11
01
11
10
10
00
00
10
10
01
00
11
01
11
00
11
10
00
00
10
10
11
10
00
10
10
00
00
00
10
01
00
11
10
01
00
11
11
11
00
10
00
00
10
10
11
01
01
10
00
10
00
11
10
11
00
00
00
10
10
10
10
01
11
10
10
00
10
11
10
00
01
00
01
10
10
01
00
11
00
00
10
11
10
10
11
00
01
10
00
10
11
10
00
00
11
10
10
10
10
01
11
00
00
10
11
00
10
01
00
10
00
00
10
11
00
01
00
11
00
10
10
00
10
10
00
01
00
11
10
10
00
10
10
10
11
01
10
01
00
00
00
01
11
10
00
01
00
01
10
11
00
00
10
10
10
11
10
01
10
01
10
00
10
01
00
01
01
10
11
00
00
10
00
00
10
00
10
11
10
10
00
00
00
00
00
11
10
00
00
10
10
11
01
10
01
11
01
11
01
01
01
11
11
10
01
10
11
00
10
11
00
11
10
11
00
10
00
00
00
01
10
10
10
01
10
01
00
00
00
01
00
10
11
01
00
11
10
10
11
10
10
00
00
00
01
11
10
01
00
10
11
00
01
11
00
00
11
00
11
00
00
10
00
01
00
11
10
10
00
11
00
11
00
00
10
01
00
10
00
00
10
00
10
10
00
10
11
00
01
00
11
10
10
00
00
10
11
00
00
00
10
10
00
00
00
11
10
10
10
00
00
00
10
11
10
01
01
10
00
00
10
10
01
10
01
01
10
00
00
10
10
10
01
00
00
10
00
00
10
01
11
10
00
00
10
00
11
11
00
01
10
01
00
00
01
11
00
01
00
10
11
00
01
11
11
00
10
01
11
01
00
11
10
00
10
00
00
00
10
10
10
11
10
10
00
01
11
10
01
10
10
01
00
01
11
00
00
10
01
10
10
00
10
10
11
10
01
00
00
10
11
10
01
01
11
10
01
10
10
11
00
00
10
11
01
10
10
10
01
00
11
00
00
11
10
00
00
10
11
01
10
10
10
00
00
01
00
11
01
00
11
10
00
11
00
00
00
10
11
00
11
01
10
01
00
10
00
10
00
00
00
10
10
11
10
00
10
10
10
00
01
01
01
11
00
01
00
10
10
00
01
10
10
01
00
11
10
11
11
11
00
01
00
01
10
10
01
11
11
10
00
00
10
10
10
00
00
11
10
00
01
00
11
00
10
11
10
00
00
00
10
11
01
00
00
10
11
11
10
10
10
00
10
00
01
10
10
00
10
10
01
10
00
00
11
00
11
10
10
00
00
11
01
11
01
00
10
10
01
00
10
10
01
00
10
11
00
11
10
10
10
10
10
10
10
00
00
11
00
10
00
01
01
00
00
10
01
01
10
01
10
00
11
10
11
10
00
10
10
10
01
11
00
01
00
00
00
00
11
01
01
10
00
01
00
11
10
10
00
11
10
00
00
10
10
00
11
00
00
10
11
00
10
10
10
00
00
00
01
11
01
10
01
10
01
11
01
11
01
11
10
00
00
11
10
00
00
11
01
01
10
00
00
10
01
00
10
11
01
00
00
00
00
10
10
10
10
10
11
01
10
11
00
00
10
00
10
11
11
00
00
00
00
10
10
00
01
00
10
11
11
01
00
10
10
10
00
00
00
10
10
00
00
10
01
10
11
11
10
11
01
10
01
00
01
01
11
10
10
10
01
01
10
11
10
10
01
00
11
10
11
00
00
10
00
00
00
10
10
01
01
10
10
01
01
10
00
00
11
00
00
10
00
00
10
11
11
00
11
00
00
00
10
10
11
00
01
01
00
01
11
00
01
01
11
00
00
10
10
10
00
00
11
00
10
10
01
00
01
10
10
01
00
11
10
00
00
00
10
01
01
10
11
11
10
10
00
01
10
10
00
11
11
10
00
00
10
01
10
10
11
10
00
00
10
10
00
10
01
00
11
11
11
00
01
10
11
01
00
10
11
00
00
10
11
11
00
11
11
01
00
00
01
10
10
00
10
10
10
11
10
01
00
11
11
01
00
11
11
10
00
00
01
01
10
10
10
00
10
10
10
01
00
00
10
11
10
00
00
00
00
10
01
10
10
01
10
00
01
11
10
10
11
10
00
10
00
00
10
01
10
00
11
00
01
01
00
11
11
01
00
00
01
11
10
01
10
10
11
00
00
01
00
10
10
00
00
00
11
10
00
01
00
10
10
01
10
10
00
00
00
10
00
10
01
10
00
10
11
00
00
00
00
00
00
01
11
10
10
00
00
00
10
10
00
00
11
11
11
11
00
00
00
00
00
00
10
10
11
00
11
01
11
10
10
00
11
10
00
10
10
00
10
00
00
10
10
10
00
00
11
10
11
10
00
00
10
01
00
00
10
11
00
10
10
00
10
01
01
00
11
10
10
01
00
11
10
10
00
10
00
11
01
10
00
00
10
10
00
01
01
10
00
10
10
00
11
00
10
10
01
10
10
10
00
11
01
10
11
00
11
00
00
10
00
10
00
10
10
00
10
10
00
00
00
10
11
10
11
00
10
11
01
10
00
00
00
00
10
10
10
00
00
00
10
10
00
10
00
00
00
10
11
10
00
01
10
00
00
01
10
10
00
00
10
11
11
01
01
01
00
01
11
11
10
00
01
10
10
10
10
00
01
10
10
01
01
11
10
11
00
01
10
01
01
10
11
10
01
01
10
00
00
10
10
11
00
11
01
11
00
01
00
10
00
01
10
00
00
10
10
11
10
11
00
00
11
00
00
11
10
10
00
00
11
00
11
00
10
10
11
11
00
01
10
10
00
00
10
10
01
00
11
11
11
00
00
00
11
10
10
01
00
11
01
00
10
10
10
11
10
00
10
10
00
10
11
00
10
10
01
00
11
00
00
01
01
10
10
00
10
01
11
11
10
11
00
10
11
00
00
11
10
10
11
01
01
01
00
01
00
10
01
00
11
10
00
10
11
00
01
10
10
00
00
11
10
00
00
10
10
00
00
00
10
01
11
00
00
00
00
00
11
00
00
11
10
10
01
10
10
10
00
00
00
00
10
00
01
00
11
00
10
10
00
00
11
11
01
10
10
01
10
01
00
10
11
10
00
00
00
10
00
00
10
11
00
11
00
01
00
10
11
00
10
10
10
00
00
00
10
00
01
10
11
10
00
11
00
10
10
00
01
00
11
00
11
11
00
11
10
00
00
00
00
10
10
01
00
10
10
01
00
11
10
10
01
00
00
11
00
00
10
01
01
01
00
11
10
00
10
11
00
01
01
10
10
00
10
00
00
00
10
10
00
10
00
00
00
10
11
10
10
00
00
01
01
10
10
00
00
10
00
10
00
00
01
11
00
11
00
01
01
10
11
00
10
00
00
10
01
11
10
01
11
10
01
01
10
11
10
11
01
00
00
10
01
01
10
00
10
00
00
10
11
00
00
10
00
11
10
00
01
10
10
11
11
01
01
11
01
10
01
01
10
00
01
10
11
00
00
10
10
01
10
11
01
10
00
00
10
10
10
10
00
10
00
00
00
10
10
01
10
01
10
01
00
00
01
11
00
00
00
10
00
00
10
00
00
10
10
00
10
10
10
10
10
00
00
10
10
10
11
00
00
01
10
00
00
00
00
10
10
00
10
00
10
01
11
10
01
10
00
11
00
10
10
11
01
11
10
00
01
00
00
10
10
00
10
00
01
10
00
11
01
10
00
11
01
10
11
00
10
01
00
11
00
00
10
00
01
11
00
00
00
10
11
01
10
11
10
01
11
01
00
01
11
10
11
00
10
10
00
00
11
10
01
00
00
00
00
11
11
10
00
00
10
10
10
10
11
00
00
11
01
00
10
01
00
10
11
10
10
00
00
11
10
01
00
10
00
11
10
00
10
10
11
00
01
00
10
11
01
10
00
01
11
01
01
00
11
00
10
10
10
00
00
00
10
10
00
10
00
00
00
10
10
10
11
10
10
00
10
00
00
00
11
01
10
01
10
01
00
00
11
00
00
11
10
01
11
10
01
10
00
00
00
10
10
10
00
00
10
11
01
00
00
10
00
01
10
10
00
00
10
10
00
00
00
10
10
00
00
10
10
01
10
00
00
00
00
10
01
10
10
00
10
11
01
00
11
00
10
10
00
01
10
00
01
00
10
01
11
10
00
00
01
00
10
00
00
00
10
00
10
10
00
01
00
10
00
11
01
10
00
00
00
11
10
00
01
00
00
11
00
10
10
10
10
11
10
00
11
10
00
00
00
00
00
11
10
11
00
00
01
11
00
01
01
11
10
10
01
00
10
10
00
01
00
00
00
10
00
01
00
00
00
11
10
00
10
10
00
11
11
10
10
00
00
11
01
01
00
00
10
11
11
00
01
00
11
00
00
10
10
10
00
01
00
00
10
01
10
01
11
10
10
10
10
00
00
10
10
01
10
11
00
10
10
10
00
00
01
01
00
00
10
11
00
01
10
11
00
00
00
10
01
10
10
00
10
10
10
10
10
01
10
01
01
00
11
01
00
10
00
00
01
10
10
00
01
10
11
00
10
11
00
01
01
01
00
01
10
10
01
00
11
00
01
11
10
10
00
00
01
00
11
10
10
10
10
10
00
11
11
00
01
01
11
00
11
10
00
01
00
00
10
00
00
10
10
00
01
10
10
11
10
00
00
10
10
01
11
10
00
01
10
10
01
10
11
00
10
10
11
00
01
00
11
00
01
11
11
00
01
10
00
10
10
01
00
00
11
11
00
01
10
10
00
01
00
00
11
11
11
10
11
10
10
10
10
10
10
00
00
01
01
11
01
10
00
10
01
00
00
10
10
11
10
01
10
00
10
00
10
10
10
11
11
01
01
10
10
10
11
10
01
01
11
11
11
10
01
11
00
01
01
10
10
10
01
00
00
01
11
00
10
00
00
00
00
10
00
01
01
00
11
10
00
10
10
01
01
10
00
10
11
00
10
10
10
01
00
00
01
00
10
11
01
10
00
01
10
00
10
01
00
01
00
10
10
00
00
10
10
10
10
00
01
01
10
10
10
10
00
10
10
00
10
00
10
10
10
10
00
00
00
00
10
00
01
00
01
10
00
00
10
11
11
11
00
00
11
10
01
01
10
11
11
00
00
01
00
11
00
01
10
10
00
10
01
00
10
10
11
01
01
11
01
00
00
00
10
00
00
10
01
00
01
01
10
10
01
10
01
00
00
01
01
00
10
01
10
00
00
10
10
00
11
01
11
00
11
00
00
10
10
00
00
01
11
10
00
11
01
01
10
00
10
00
11
10
01
11
11
00
01
00
10
00
00
10
11
10
00
00
10
00
10
10
00
10
10
11
00
01
10
10
00
10
01
11
00
01
11
00
10
00
00
00
00
10
11
10
01
10
10
01
10
10
11
00
00
01
11
01
00
11
00
10
00
10
10
00
00
01
00
00
10
10
01
00
01
11
00
00
10
10
01
10
11
10
11
10
01
00
11
01
01
10
11
01
00
00
10
00
10
00
00
10
11
01
10
00
01
11
11
01
00
00
10
01
00
00
10
10
01
10
00
00
10
10
10
11
01
10
11
01
01
01
00
10
00
01
10
10
00
00
10
00
11
10
00
00
00
10
00
10
11
00
00
10
01
00
11
10
10
00
00
00
10
10
00
11
00
01
10
01
10
00
11
10
10
00
11
11
10
10
00
10
00
00
00
11
10
00
01
10
00
00
00
00
11
01
10
00
00
00
10
10
00
01
10
01
10
10
00
10
11
00
11
10
01
10
11
01
01
00
10
11
00
10
00
00
00
10
10
01
00
11
00
10
00
10
01
00
10
00
00
00
01
11
00
11
11
00
10
11
11
10
01
00
00
11
10
00
00
10
00
10
00
10
10
10
10
00
00
10
11
01
01
11
11
00
00
00
01
10
01
00
10
00
10
00
10
11
00
01
11
10
01
01
00
01
11
10
01
10
10
00
00
01
00
10
01
00
11
00
10
11
00
00
10
11
00
00
00
00
10
10
00
10
00
11
10
01
00
00
00
10
10
10
11
00
00
11
10
00
00
10
01
00
01
10
01
01
11
00
10
00
00
01
00
10
11
11
10
00
10
01
00
00
01
10
10
00
01
10
11
01
00
11
10
00
10
00
00
10
00
01
00
00
10
10
00
01
00
00
01
00
01
10
11
11
11
10
10
00
11
00
00
01
01
10
00
00
10
10
10
10
00
00
11
10
00
00
00
10
10
11
10
10
10
11
01
00
11
01
01
11
00
10
01
10
00
00
01
10
10
01
10
11
01
00
01
00
10
01
00
10
10
10
00
01
01
11
11
00
00
11
10
00
10
01
01
01
10
10
10
10
00
00
01
10
01
01
10
00
01
00
10
11
01
11
10
10
00
10
01
00
00
10
00
11
00
10
10
11
00
01
10
00
00
00
11
10
10
00
00
11
10
00
10
10
11
00
10
01
00
10
10
11
01
00
00
11
10
00
00
00
11
10
01
10
10
00
01
00
10
00
00
10
01
00
00
01
00
00
10
01
10
00
00
10
10
01
11
11
10
00
01
01
01
10
10
01
00
10
10
11
00
00
00
10
10
10
01
00
11
11
00
11
00
10
00
10
11
00
10
11
01
01
11
00
00
10
10
00
01
10
11
00
10
10
01
11
10
11
00
11
10
00
11
10
01
10
10
00
00
00
11
10
01
10
00
10
10
10
10
11
10
01
00
11
01
00
01
00
01
10
00
00
10
11
00
11
10
01
00
10
11
00
10
10
01
11
11
00
10
00
00
10
10
00
01
10
11
01
10
00
00
11
00
00
10
01
11
00
00
10
10
00
10
10
10
00
00
10
10
10
10
10
01
00
01
00
10
10
00
00
01
11
00
01
00
00
11
00
10
00
00
11
11
10
10
00
10
11
00
00
00
00
00
00
01
00
10
10
10
11
01
10
00
01
00
11
01
10
11
00
01
01
01
10
11
10
01
11
00
01
10
10
10
00
01
10
11
10
00
11
10
01
00
00
01
10
10
10
10
00
10
10
01
01
10
00
00
11
10
10
00
01
11
10
00
00
11
10
00
00
00
00
11
10
01
01
10
01
00
10
10
00
00
01
01
10
00
10
01
00
00
01
11
10
00
10
11
00
01
10
10
11
11
10
01
01
10
10
10
10
01
11
00
00
00
10
10
00
10
11
10
11
00
11
10
00
11
00
01
10
11
11
00
01
11
00
00
00
11
01
00
11
10
01
10
10
00
10
01
00
00
10
00
01
10
10
00
10
10
01
00
11
01
00
10
01
00
01
11
10
00
10
11
01
00
10
00
00
10
10
00
10
10
00
01
11
00
00
10
11
00
11
10
01
00
00
00
11
10
01
00
10
01
00
00
11
10
00
10
00
10
00
01
01
10
11
10
00
00
00
01
11
00
00
00
10
10
10
10
00
00
10
01
10
10
11
00
10
00
01
01
10
10
01
11
01
00
10
00
10
00
11
10
00
00
10
00
00
01
10
10
10
00
01
00
00
00
00
00
00
00
11
10
10
00
00
10
01
01
10
00
11
11
01
10
10
00
01
10
00
01
01
10
10
00
01
10
10
10
10
01
11
01
01
00
00
10
11
00
11
01
00
00
00
10
10
00
00
10
11
11
10
11
10
01
01
10
10
11
11
10
10
00
01
10
00
00
11
10
00
10
00
00
11
00
10
10
01
10
11
10
01
00
11
11
00
11
10
01
11
10
10
01
00
11
00
00
10
01
01
10
01
01
11
01
00
11
01
10
10
00
01
10
10
00
00
11
01
11
10
10
10
01
00
10
01
01
10
10
10
00
10
10
01
10
10
00
10
10
00
00
01
10
10
10
01
00
00
00
01
01
00
10
11
10
00
00
10
11
10
00
01
00
10
11
10
00
10
01
00
10
01
10
00
10
10
00
00
00
10
11
00
10
11
01
01
01
01
10
10
10
00
10
00
11
00
00
00
01
11
00
00
11
11
00
10
00
01
01
00
11
00
11
10
00
10
10
01
00
00
00
01
10
01
01
00
11
00
00
00
11
10
10
01
00
00
10
00
01
10
11
10
10
10
11
10
11
10
00
00
11
11
01
00
10
01
11
11
00
01
10
11
11
11
01
11
11
01
00
00
11
11
10
01
01
00
00
10
00
10
10
00
10
11
10
10
01
01
10
00
00
11
00
11
10
00
01
10
10
01
00
10
00
11
01
00
10
10
10
00
11
11
11
01
00
01
00
00
10
01
00
10
01
01
00
11
10
00
00
11
10
01
10
10
01
10
01
00
10
01
11
11
10
00
01
10
10
01
10
00
00
10
01
10
10
10
10
00
00
00
00
00
11
10
00
01
10
00
11
10
10
00
00
10
00
01
10
00
01
10
00
00
01
10
00
00
00
00
00
11
11
11
10
00
01
10
10
10
01
00
00
10
11
10
00
10
10
10
00
01
10
11
00
01
00
10
10
10
00
01
11
10
11
10
10
01
00
10
00
10
00
11
00
00
10
00
00
01
10
01
11
10
00
01
11
10
10
01
00
11
00
00
11
10
10
00
01
10
00
01
11
11
00
00
00
00
10
10
00
00
11
10
00
11
11
01
01
00
10
00
00
00
00
11
10
10
01
00
11
00
00
10
10
00
00
01
11
01
10
10
00
01
10
10
00
11
01
10
00
10
10
00
10
00
10
11
01
10
01
10
10
00
10
11
00
01
00
10
00
01
00
00
10
10
11
10
10
01
11
10
01
01
00
10
00
00
10
00
01
10
10
10
10
10
01
10
00
01
10
11
00
01
00
11
00
00
10
01
00
10
01
10
00
11
10
00
11
00
00
11
00
10
10
10
11
01
00
00
00
00
10
01
10
10
00
00
00
00
10
11
10
00
11
00
10
10
01
10
11
00
11
00
00
10
00
10
10
11
00
01
10
01
10
10
10
00
00
11
00
00
01
10
10
01
10
10
01
00
11
00
00
00
00
11
11
01
00
10
10
00
00
00
10
10
01
10
00
00
00
00
10
10
10
00
00
01
00
11
10
11
00
10
10
00
01
01
00
10
11
10
00
00
01
11
10
11
01
00
00
01
10
10
10
00
10
00
11
10
00
10
11
10
00
10
00
10
10
00
10
01
01
10
00
01
01
10
11
10
01
00
00
10
01
00
11
10
11
10
10
01
10
11
10
10
01
01
11
00
01
10
00
00
10
11
00
01
10
11
10
00
10
01
00
11
10
00
00
01
00
11
10
00
00
11
00
10
11
01
00
00
10
10
00
01
01
11
01
11
10
10
01
00
10
10
00
00
11
11
10
10
00
01
10
11
01
00
10
00
10
10
11
01
00
00
11
01
11
11
10
01
01
01
10
00
00
11
11
10
01
10
10
01
10
10
10
11
01
01
00
01
10
01
01
10
11
01
11
10
10
01
01
00
11
11
11
10
10
01
01
00
10
00
01
11
01
01
11
00
00
10
10
10
00
00
11
10
00
11
00
01
00
11
10
01
10
10
10
00
00
10
11
00
10
01
10
10
10
10
01
00
11
10
01
01
11
01
00
00
10
10
00
10
10
01
11
10
01
00
11
10
10
00
10
11
11
01
00
10
01
10
10
00
10
10
01
00
01
00
11
00
10
00
10
11
00
11
00
01
00
00
00
10
01
00
10
11
00
00
01
00
10
01
00
01
11
10
11
00
01
10
00
00
00
10
10
10
01
11
10
10
11
01
10
10
00
00
10
00
10
10
00
10
10
00
11
00
11
00
00
01
11
00
11
10
00
00
11
11
10
00
01
00
01
10
00
10
11
00
11
10
00
00
10
01
10
10
01
00
10
01
10
10
10
00
00
00
00
10
00
00
00
11
00
00
00
00
10
11
10
01
10
10
01
10
00
10
01
00
11
10
11
10
00
11
01
00
10
10
00
00
10
00
00
01
10
10
00
10
11
11
11
01
01
00
10
11
00
00
11
01
00
00
00
11
10
00
00
10
00
10
00
00
00
10
10
00
00
11
00
00
10
00
01
10
11
00
00
10
00
10
11
11
01
10
00
00
01
10
11
10
01
01
00
01
00
10
00
10
10
10
00
00
00
01
10
10
00
00
11
01
10
10
10
00
00
11
10
00
01
10
10
01
00
00
00
11
00
00
10
11
01
10
10
10
00
00
11
11
10
11
01
00
00
10
00
01
10
10
00
01
11
11
11
00
00
00
01
00
11
10
00
11
01
00
11
00
00
11
00
00
00
10
10
01
00
10
00
01
10
11
01
00
11
11
00
00
10
00
10
01
00
10
01
00
00
10
11
11
11
01
01
11
00
10
11
00
00
11
10
10
00
10
01
01
11
11
00
00
01
11
00
10
10
01
00
00
11
01
01
10
00
10
00
00
11
10
10
11
10
00
01
10
10
00
00
10
01
00
01
11
11
10
01
00
00
11
10
01
00
10
10
10
10
01
00
11
01
00
10
10
00
00
11
10
00
10
11
10
11
00
00
00
00
11
10
10
00
10
11
01
00
10
11
01
01
00
10
11
00
00
10
00
00
00
00
00
10
00
00
11
10
11
11
10
10
11
11
00
00
00
00
00
00
10
10
01
10
00
11
11
00
11
10
00
11
11
01
11
10
00
10
11
00
10
11
00
10
10
01
00
01
10
10
11
10
11
01
10
10
00
01
11
10
00
00
01
10
10
00
01
10
00
11
01
11
00
11
11
00
00
00
00
10
11
01
00
11
11
10
00
01
10
00
00
10
10
10
00
00
10
10
11
10
01
01
01
11
11
00
00
00
10
10
10
00
00
10
10
10
00
01
01
01
10
11
00
00
01
10
10
01
01
00
11
00
10
01
00
11
10
10
00
00
11
00
00
10
11
00
11
01
10
01
00
11
01
10
10
00
00
10
00
00
10
01
00
10
10
01
10
01
00
11
00
00
10
10
10
11
10
00
11
01
00
10
01
00
11
10
10
10
00
10
00
00
00
11
10
00
10
00
10
00
00
10
00
00
10
00
00
00
10
10
11
00
00
00
10
00
11
11
00
01
10
00
00
00
01
01
01
10
00
00
10
00
11
10
00
11
01
01
00
10
10
11
11
00
00
11
10
11
10
11
00
00
11
00
00
10
00
01
00
00
10
10
10
00
11
00
10
10
01
00
01
00
11
10
11
11
00
10
10
10
01
01
10
00
00
00
10
00
11
10
01
00
11
10
01
00
10
01
00
10
10
00
00
10
01
10
10
00
00
10
00
10
11
00
00
10
00
10
10
01
10
00
00
00
10
10
10
00
11
10
11
10
10
00
00
11
10
11
11
00
00
00
10
10
10
00
10
10
00
00
10
01
00
00
11
00
00
00
11
10
00
10
10
10
10
01
11
00
01
00
11
01
10
10
10
11
10
00
00
00
11
11
00
01
11
10
01
00
01
10
10
00
10
10
01
00
10
00
01
10
10
00
01
11
00
01
11
10
11
01
11
11
00
00
10
01
10
00
00
10
00
10
01
10
00
00
01
00
01
00
01
10
10
10
11
00
11
00
10
11
00
11
00
11
10
10
10
11
01
01
10
01
10
00
11
00
00
11
10
10
00
10
10
10
11
00
11
11
10
00
00
00
01
00
10
01
10
00
01
00
01
10
11
00
00
01
10
00
00
11
10
11
00
01
00
00
00
10
00
00
00
10
00
00
00
10
00
00
10
10
01
11
10
01
10
11
01
10
10
11
00
00
00
10
10
00
11
10
01
00
01
01
10
11
10
01
00
00
11
00
00
11
10
11
10
00
00
00
10
00
10
00
00
00
00
10
00
10
11
10
10
00
00
11
10
11
10
10
00
10
00
01
00
11
10
00
01
00
11
00
00
11
10
01
00
10
11
10
10
00
00
00
00
01
00
10
10
10
11
00
10
01
10
10
00
10
10
10
00
10
00
01
11
01
10
00
01
11
10
00
01
11
10
00
00
10
01
10
00
00
10
01
10
11
10
00
11
11
10
01
10
11
11
01
10
00
00
10
10
10
00
01
01
00
10
01
11
01
00
10
00
00
10
11
11
01
00
11
11
01
00
10
00
01
01
11
11
00
00
10
01
11
10
01
10
10
11
00
00
11
11
00
00
11
11
11
11
01
10
11
00
11
00
00
10
11
01
01
00
00
00
10
10
10
01
00
11
10
10
01
11
00
01
00
10
00
11
00
01
11
01
11
10
10
00
01
01
00
10
10
10
00
00
11
00
01
00
10
00
00
01
10
01
10
10
00
01
10
11
10
10
10
00
01
10
10
00
11
10
00
10
00
00
10
01
11
00
00
00
11
10
10
01
00
01
10
01
10
00
01
11
00
00
00
10
11
00
11
00
00
00
00
11
10
01
10
01
11
10
01
11
10
00
01
10
10
00
00
10
10
01
11
11
00
10
00
10
00
01
01
10
00
00
10
11
11
01
10
10
10
10
10
00
11
10
01
00
00
00
11
00
01
00
00
10
10
10
00
00
10
11
00
00
00
00
10
00
10
10
10
00
10
11
10
01
00
00
10
01
01
00
00
10
01
00
00
10
11
00
11
10
11
10
01
10
10
00
00
10
00
00
10
11
00
10
10
00
10
00
00
11
10
10
10
00
00
01
00
00
00
10
00
11
10
10
11
00
00
00
01
10
00
00
11
01
10
11
00
01
11
00
00
00
11
10
10
00
01
00
01
10
01
11
11
10
00
00
11
11
01
01
11
10
01
01
10
10
10
00
11
00
00
00
11
10
00
10
11
11
00
10
11
11
00
00
10
11
00
00
00
01
00
00
00
11
10
10
00
00
10
01
11
11
10
01
10
01
00
01
10
10
00
00
10
10
11
10
00
00
00
11
10
00
11
11
11
00
01
10
11
01
01
10
10
00
00
10
10
01
00
10
11
11
00
01
10
11
11
00
00
00
11
10
00
01
10
01
00
10
10
00
11
11
00
01
00
01
10
11
00
11
10
00
00
11
10
11
00
00
01
10
00
10
11
00
00
10
10
10
00
11
00
00
00
00
00
00
00
10
10
10
00
01
00
00
11
00
00
10
10
00
10
11
00
11
01
10
01
10
00
11
01
10
10
00
00
10
11
01
10
10
01
00
11
00
00
10
10
11
01
00
10
10
10
01
11
10
01
10
00
10
00
00
00
00
10
10
10
00
10
11
10
11
01
10
10
10
10
00
00
11
11
10
10
01
01
10
10
10
00
00
00
00
10
00
00
00
00
00
01
11
10
10
10
11
00
00
00
10
11
00
11
00
10
11
01
10
10
10
00
10
01
11
11
11
10
10
00
11
10
01
00
00
11
10
01
00
01
11
11
00
10
10
10
10
00
11
11
11
10
00
00
00
00
00
10
10
00
00
10
10
10
10
10
00
11
01
00
10
11
00
00
10
11
00
10
10
00
01
00
11
11
11
10
00
00
01
00
10
11
10
11
00
00
00
00
10
00
10
10
00
10
10
00
01
11
10
00
00
10
01
00
11
00
11
01
01
01
10
00
00
11
10
01
11
11
00
01
10
10
00
00
11
10
00
01
00
10
10
01
10
00
00
11
11
10
10
10
10
10
01
01
11
00
00
00
10
11
01
00
10
10
10
10
01
00
10
01
10
11
10
11
00
10
10
00
10
11
00
00
10
11
00
01
00
11
01
11
11
01
10
10
10
00
01
00
10
10
10
00
00
10
10
11
00
00
10
11
11
10
10
00
10
11
00
10
10
00
10
10
00
10
10
00
10
00
00
10
11
10
01
11
01
00
00
10
10
01
00
01
10
10
00
10
11
10
00
00
10
10
01
11
01
01
11
11
00
11
11
11
01
10
10
01
10
00
11
10
00
00
10
11
00
01
00
11
00
01
10
11
00
10
10
00
10
10
11
00
00
10
11
10
01
10
11
10
00
11
10
10
01
00
00
00
11
00
00
11
10
00
11
10
00
10
00
01
10
10
10
01
10
00
10
00
00
11
11
00
00
10
11
00
00
10
10
10
00
00
10
00
10
11
00
00
00
01
01
01
10
10
00
01
10
00
10
11
00
10
00
10
01
00
01
11
10
00
00
00
10
11
00
00
00
00
11
11
10
01
00
10
11
00
11
10
00
00
01
10
11
01
00
10
11
10
11
00
00
10
10
10
01
10
10
10
01
01
01
10
10
10
11
11
00
01
10
00
00
10
10
01
10
10
10
01
00
10
01
00
00
10
10
00
10
00
01
11
10
10
10
10
11
01
00
10
10
11
00
00
11
11
00
00
10
00
00
00
11
10
01
10
10
11
00
00
10
11
00
00
11
01
11
01
11
11
00
11
01
00
01
10
10
00
10
10
00
01
10
10
10
10
01
10
11
01
00
10
00
10
00
11
00
00
10
11
10
10
11
11
10
11
10
00
11
10
00
00
10
10
01
01
10
10
10
00
00
10
10
01
11
01
01
10
10
01
10
10
10
00
10
00
11
00
00
10
10
11
00
11
10
00
00
11
00
01
01
11
11
01
11
01
10
11
01
11
01
01
11
01
00
10
10
10
00
01
00
10
11
10
10
00
00
10
10
01
10
00
11
10
11
01
00
01
00
10
10
10
00
00
10
10
11
00
10
00
00
00
10
10
00
10
10
00
10
10
10
11
00
11
11
01
10
01
00
10
01
00
10
00
10
01
01
10
00
11
01
10
10
01
11
00
00
00
00
10
00
00
10
10
00
00
11
01
10
01
10
10
10
00
01
10
01
00
01
11
11
00
10
01
00
10
11
10
01
01
11
10
00
01
00
11
01
10
10
00
11
01
11
10
11
10
11
01
01
00
00
10
11
10
00
01
10
10
10
10
00
00
10
11
00
10
10
00
10
10
11
10
10
00
00
10
10
00
11
10
00
10
01
00
01
10
10
10
10
01
01
10
10
10
11
00
11
11
00
10
00
10
00
00
10
00
00
11
10
10
11
11
00
00
01
11
11
01
11
10
00
11
00
00
11
10
10
01
00
00
11
01
10
10
10
10
00
10
10
11
10
11
00
01
00
00
10
10
01
00
11
11
11
01
11
11
00
00
01
10
11
01
00
00
11
01
00
10
11
01
00
01
10
10
00
10
11
01
11
10
11
00
00
10
11
10
00
10
00
00
10
11
00
01
10
01
10
00
01
10
00
01
00
10
11
01
01
00
10
10
00
10
00
00
10
10
00
00
10
00
00
00
01
00
00
00
10
00
11
10
00
11
01
10
11
11
10
00
00
00
00
00
11
10
10
00
10
00
01
00
10
00
00
10
11
00
11
01
00
00
00
11
00
11
11
10
01
10
11
10
00
00
11
10
00
00
11
11
10
10
00
11
10
10
10
01
00
10
00
00
11
10
00
01
11
00
10
10
00
11
00
00
10
10
01
01
00
00
01
10
01
01
10
10
01
00
11
01
00
10
11
10
00
10
10
01
00
10
00
11
01
01
10
00
00
00
01
10
10
10
00
01
01
10
10
11
00
01
10
10
00
01
10
00
00
10
10
00
10
11
01
00
10
11
00
01
01
00
10
11
00
01
00
10
00
10
10
11
10
00
00
10
00
10
00
11
00
00
10
10
00
00
00
01
10
11
11
00
11
00
10
10
01
00
00
10
10
01
10
10
01
10
01
00
10
10
01
11
01
00
10
00
01
11
10
10
01
11
10
11
01
00
00
10
00
10
00
00
01
00
00
10
00
10
00
11
10
00
00
01
10
10
10
00
00
10
10
00
10
10
00
11
11
10
10
10
01
00
01
00
11
00
10
10
00
00
10
01
00
10
11
10
00
00
01
01
11
10
01
01
00
11
10
01
11
10
00
00
11
11
00
11
10
10
10
01
01
10
11
00
10
00
00
10
11
01
01
11
10
10
10
00
10
10
00
01
10
10
01
10
00
10
10
00
11
11
00
10
01
00
01
10
11
00
01
01
10
01
11
11
01
01
10
01
01
10
10
10
01
00
11
01
10
01
00
10
11
00
11
10
00
10
11
10
10
10
01
00
01
01
11
00
00
10
00
11
11
10
00
00
11
10
10
00
00
00
10
11
10
01
00
00
11
00
00
10
01
01
10
11
10
01
00
01
00
11
00
00
00
10
00
00
00
10
11
11
10
11
11
10
11
00
10
11
00
00
01
10
00
10
11
10
11
00
00
01
10
00
11
10
00
01
10
10
00
11
11
00
01
10
10
10
11
00
01
00
10
10
00
00
00
10
10
10
00
00
00
11
00
10
10
10
10
00
00
10
00
00
00
00
11
10
11
00
10
01
00
11
00
01
10
10
00
10
10
11
00
00
10
00
10
11
10
11
00
00
00
11
10
00
10
01
10
00
11
10
00
10
11
10
11
00
01
11
00
01
00
10
11
10
00
01
10
00
10
10
10
10
01
10
00
01
10
11
00
00
01
00
01
11
01
00
10
00
10
00
00
11
11
00
00
10
10
10
01
00
11
10
00
00
00
10
00
00
10
10
10
00
00
00
00
00
10
11
10
01
00
00
01
01
11
10
10
01
00
00
00
00
10
10
10
00
10
10
01
00
00
00
01
00
11
00
01
10
00
00
10
00
00
00
10
10
10
00
01
11
10
11
00
00
10
11
01
00
10
10
00
00
11
00
11
10
00
00
11
01
00
00
11
10
11
11
00
01
01
10
10
00
01
10
00
00
10
10
00
10
00
10
11
10
10
10
01
00
01
10
00
00
00
10
11
01
00
00
00
10
00
01
00
10
11
00
00
01
00
00
10
00
10
10
11
11
00
10
10
11
00
00
00
10
11
01
10
01
10
00
00
00
11
11
10
00
10
00
00
00
00
10
00
10
00
00
10
00
10
10
01
10
11
01
11
00
10
01
11
01
01
10
10
01
11
11
00
10
01
00
10
00
10
11
01
10
10
00
11
10
10
11
00
11
00
00
10
11
00
11
10
01
00
10
00
00
00
01
10
10
00
00
01
10
10
00
01
00
00
10
01
00
10
01
01
11
11
10
10
00
10
11
01
11
00
01
00
01
10
10
10
00
01
11
00
01
00
00
00
01
11
00
00
10
10
00
10
10
00
00
11
00
10
00
00
10
10
10
00
01
00
01
01
11
11
01
01
10
00
01
01
00
10
00
10
10
10
10
10
00
01
01
11
00
10
00
11
11
11
00
01
10
01
10
10
10
01
00
00
10
00
00
10
11
10
00
00
00
00
11
00
00
10
00
00
01
00
10
00
10
00
00
00
00
10
01
10
10
10
01
00
01
10
10
00
10
01
00
11
11
00
00
10
00
01
01
10
10
00
00
01
10
10
00
00
11
00
01
00
10
10
00
10
00
10
11
00
11
10
11
01
01
01
10
11
11
01
11
00
00
10
10
01
01
11
11
00
01
11
01
01
10
10
01
00
11
11
00
00
10
10
00
01
00
10
00
00
00
11
00
11
10
10
01
10
01
01
00
11
01
11
00
10
10
10
10
01
10
10
11
01
10
10
01
00
00
00
01
11
10
01
10
00
00
00
10
10
10
01
00
11
10
10
10
01
01
00
10
10
00
10
01
10
10
11
00
01
00
00
10
10
10
10
10
00
01
00
10
00
00
01
00
11
01
10
10
00
00
01
11
10
11
10
01
00
10
01
11
10
01
10
01
01
10
11
00
00
10
10
11
01
00
10
01
00
00
00
11
11
00
01
00
10
00
11
10
00
10
10
00
01
10
10
10
10
01
00
11
10
10
00
10
00
00
00
11
00
10
00
10
01
00
00
00
11
10
01
00
01
10
01
10
11
10
00
11
01
10
11
10
11
10
11
10
00
00
10
00
11
11
00
01
10
10
00
10
10
10
00
00
01
10
00
01
00
00
10
10
01
00
10
11
00
00
10
00
10
10
00
00
01
01
00
10
01
00
00
00
11
10
10
00
01
11
10
10
11
01
00
10
11
10
11
00
00
00
10
00
00
01
10
00
01
10
10
11
00
00
00
01
11
10
00
10
10
10
00
10
01
01
11
10
10
10
00
10
11
00
00
11
00
00
10
10
00
00
10
00
01
10
10
00
01
10
00
00
10
01
00
00
00
10
00
10
11
10
00
01
01
11
10
10
00
10
10
10
00
10
11
10
10
00
10
01
11
01
10
10
11
11
01
01
11
00
10
10
01
00
00
10
00
10
10
10
10
11
00
10
01
00
10
10
10
01
10
10
10
00
10
00
01
10
11
00
00
11
11
10
10
01
00
01
00
10
00
00
00
11
10
10
10
01
01
11
01
01
11
11
00
00
01
01
01
11
11
00
01
01
10
10
10
00
00
00
10
01
00
10
01
10
11
01
10
11
10
01
00
11
11
01
01
10
01
10
00
00
10
11
00
01
11
10
01
11
10
00
11
10
11
10
00
10
10
01
11
00
00
00
00
00
10
11
00
00
00
11
00
10
11
00
01
00
11
10
01
01
10
10
01
10
11
00
10
11
00
11
10
11
00
10
00
10
01
00
00
11
10
10
11
00
11
10
10
00
10
11
00
10
10
00
00
00
00
01
10
01
10
00
10
10
10
00
00
10
10
10
00
00
10
11
01
10
01
01
10
10
10
01
00
01
10
10
10
10
00
01
00
10
10
11
10
11
10
01
00
01
00
10
00
00
10
11
10
11
00
10
00
00
10
10
11
01
10
10
00
00
10
10
10
10
11
01
11
00
01
11
01
11
00
10
10
01
00
10
01
00
11
00
01
11
10
00
01
10
10
00
11
01
11
10
00
10
01
00
11
00
00
11
00
00
10
00
00
11
01
01
00
00
11
10
00
11
10
00
10
11
00
10
10
00
01
11
10
00
00
10
10
10
00
10
10
00
10
10
00
11
10
01
00
00
10
00
11
00
10
11
01
01
10
10
00
10
10
01
00
00
00
01
11
00
01
10
10
00
11
11
10
01
00
10
10
10
10
10
00
01
10
10
10
10
00
11
00
00
10
01
11
01
00
10
11
10
00
00
10
00
00
11
10
01
10
10
10
01
11
11
10
01
10
10
10
01
11
01
00
10
10
01
10
00
00
11
11
00
01
01
00
10
00
00
10
10
00
00
10
10
11
01
00
01
10
00
00
11
01
00
01
10
10
00
10
11
11
10
00
01
10
10
00
00
10
01
11
10
00
00
00
01
00
01
10
00
01
10
00
00
10
00
00
10
10
00
00
00
10
10
10
01
01
01
01
01
11
00
10
11
01
00
11
11
10
10
01
00
11
10
00
10
01
00
10
10
00
11
10
00
01
01
11
10
00
11
11
01
00
00
10
10
01
10
00
00
10
11
00
10
01
01
11
11
00
10
10
10
10
01
01
11
00
11
00
10
00
10
10
00
11
10
11
01
01
10
01
11
11
10
01
00
01
11
11
10
00
10
10
11
01
01
10
10
10
10
00
00
10
00
00
11
10
00
01
00
01
00
10
00
01
11
11
10
00
11
10
01
10
00
00
10
10
10
00
10
00
01
10
10
10
10
11
11
01
00
01
00
01
11
01
00
11
11
00
00
00
11
10
10
00
10
00
10
10
10
11
00
11
10
01
10
10
00
00
10
11
10
01
11
11
00
10
10
11
11
00
01
10
11
01
00
10
01
10
11
10
10
00
00
00
00
10
10
00
00
11
00
01
10
10
10
10
00
00
10
10
11
00
10
00
00
00
00
00
00
00
00
11
10
11
00
11
00
10
00
01
10
00
11
10
11
01
10
11
01
01
00
10
01
01
00
00
11
11
00
01
11
10
10
00
10
01
10
11
01
10
10
11
10
00
00
10
00
01
00
10
10
00
10
01
10
11
00
00
10
00
01
00
10
10
10
00
00
00
10
10
10
00
00
00
01
10
01
10
01
00
00
00
11
01
01
10
11
01
00
10
01
00
10
11
00
10
10
00
01
10
10
01
11
11
10
00
00
00
00
10
11
00
11
00
01
11
00
00
10
01
01
00
10
10
10
10
10
11
10
11
00
10
00
11
10
00
10
11
10
00
11
10
01
01
01
00
00
11
00
01
10
10
11
00
11
11
00
10
11
00
00
00
00
10
10
00
00
10
00
11
10
10
10
01
11
00
10
00
00
10
00
01
01
10
11
01
10
10
01
00
11
00
00
10
10
00
00
00
11
00
01
10
00
00
00
11
10
11
00
11
01
10
10
00
00
10
00
00
00
10
11
00
10
10
01
00
10
00
01
01
01
10
10
11
10
11
01
00
10
10
11
01
10
00
01
00
00
00
10
10
01
10
10
10
01
00
10
11
00
01
10
10
00
00
00
01
10
10
00
00
11
00
01
10
10
01
10
00
00
10
10
10
01
10
00
10
10
00
01
01
00
00
00
00
10
10
10
10
11
01
10
11
00
00
01
01
01
00
10
11
10
10
00
11
00
01
10
10
11
11
11
10
10
00
01
00
01
00
10
10
10
00
00
10
01
00
00
10
10
01
10
10
00
11
01
00
01
00
11
11
01
10
10
01
01
11
10
00
00
00
11
00
10
10
00
10
10
01
01
11
01
10
10
11
10
00
01
10
11
01
00
00
11
01
11
00
00
11
01
01
01
00
10
01
01
11
00
00
01
10
10
01
01
10
00
10
00
10
10
00
00
10
00
00
10
11
01
00
10
10
11
00
01
10
10
01
01
10
10
01
00
00
10
01
10
10
10
00
01
00
11
10
00
11
10
11
00
10
10
10
00
01
00
11
00
00
00
10
00
00
10
10
00
01
00
00
00
10
00
00
00
10
11
00
01
00
11
10
10
01
00
01
10
10
01
00
01
10
00
10
10
01
10
00
10
10
00
00
01
11
11
10
00
10
10
01
11
10
00
00
10
11
11
00
10
10
00
11
10
00
01
10
00
11
00
00
00
01
10
00
00
10
00
01
11
11
01
10
00
01
00
00
00
11
10
11
10
11
00
00
00
01
11
01
00
10
10
10
10
10
10
00
00
00
00
00
10
10
11
00
11
10
11
10
10
11
00
00
10
10
00
00
10
01
00
00
10
10
00
10
11
01
10
00
01
00
00
01
11
01
00
10
11
00
01
00
10
10
10
10
11
00
00
10
00
00
00
10
00
00
11
00
00
10
01
00
00
10
10
10
11
01
11
10
00
00
11
00
10
11
00
11
00
00
11
01
10
00
10
10
01
11
00
01
00
10
10
11
10
00
10
11
00
10
11
01
01
10
01
00
00
10
11
00
00
10
10
01
00
10
10
01
10
01
10
11
00
00
01
00
11
00
01
01
01
10
01
10
10
00
10
10
00
10
10
11
01
00
00
11
01
10
10
00
11
00
01
10
10
00
00
11
11
01
01
01
11
11
11
11
01
10
11
01
00
10
10
10
01
10
00
00
11
10
01
01
10
01
00
01
11
00
01
10
10
00
10
11
10
10
00
01
10
00
00
11
00
01
10
00
10
10
00
10
11
11
00
00
00
11
11
00
01
00
00
00
01
10
11
10
00
00
00
00
10
01
11
10
00
11
01
11
11
00
10
10
10
01
01
10
11
00
00
10
10
01
10
10
00
11
10
00
00
01
00
10
10
10
01
10
01
10
01
01
00
00
10
10
01
01
10
00
11
10
10
00
10
11
00
00
00
10
10
11
00
00
00
00
11
11
10
00
01
00
01
11
10
00
01
00
00
00
11
10
10
00
00
00
10
01
10
01
00
10
00
10
00
01
00
10
00
01
11
01
10
10
11
00
10
01
10
10
11
00
00
01
10
10
00
00
11
10
00
00
10
00
00
01
10
00
10
00
11
10
00
10
10
10
10
00
00
10
10
10
00
10
10
00
01
01
01
00
11
00
00
01
10
10
11
11
00
01
01
00
10
10
10
00
00
10
10
01
00
10
10
00
11
10
10
01
00
11
10
00
11
10
00
11
00
00
11
10
01
00
00
10
10
11
10
10
00
01
10
01
00
00
10
00
00
11
10
01
01
00
00
00
10
11
10
00
00
00
10
11
10
10
10
10
01
01
10
01
10
00
10
01
01
10
01
00
10
11
00
00
00
00
11
10
00
10
10
00
00
00
00
00
10
11
00
01
10
00
00
00
10
11
10
00
11
00
11
10
01
10
01
01
01
11
00
10
10
01
10
11
01
01
10
10
00
11
00
00
10
11
11
10
10
00
10
00
10
10
01
10
11
00
00
01
11
11
00
00
10
10
10
11
00
00
00
01
10
00
00
10
00
01
00
00
10
01
00
00
01
00
11
00
00
10
00
00
10
10
11
10
00
00
10
00
11
00
10
10
01
00
00
11
00
11
01
00
11
10
01
00
11
10
00
10
11
10
01
10
10
01
01
10
10
00
00
00
10
10
00
11
00
00
01
00
11
00
10
10
10
00
00
10
10
00
00
11
11
00
00
11
00
11
00
10
10
10
01
00
00
11
10
01
11
11
01
00
00
01
10
00
00
11
11
00
00
10
10
11
10
11
00
00
00
00
11
11
01
00
00
10
10
00
01
10
10
01
00
00
11
11
01
00
11
11
11
00
10
00
11
00
01
10
11
11
00
01
00
00
11
11
10
00
01
00
00
01
10
10
01
00
11
11
10
01
00
00
10
10
00
11
10
11
00
01
11
11
01
01
01
11
10
10
00
11
10
01
00
10
00
00
10
01
11
11
11
10
01
01
10
00
01
10
11
10
01
01
10
11
00
01
11
10
10
01
00
11
01
11
01
10
10
00
11
01
01
10
10
00
10
00
10
10
10
01
00
10
00
01
11
10
10
10
10
00
00
10
10
00
00
10
01
00
10
00
01
10
10
11
01
00
10
10
00
00
11
11
10
11
10
00
10
10
00
00
01
10
10
00
00
10
10
10
00
01
11
00
11
10
00
01
01
00
00
11
10
10
00
00
10
00
01
11
10
01
00
11
10
01
00
11
01
00
10
10
01
00
10
01
10
01
00
10
10
10
01
00
10
11
01
10
11
00
01
11
10
10
00
00
11
00
01
01
10
01
10
11
00
11
10
11
10
01
01
10
01
00
01
10
10
00
00
11
10
00
00
00
01
11
10
01
10
10
10
11
00
00
00
00
10
10
01
00
00
01
10
11
01
10
10
01
01
10
10
00
00
10
11
01
00
00
01
01
00
11
10
11
10
01
00
01
10
10
10
00
10
10
00
01
00
11
11
00
10
00
11
11
10
01
01
10
01
00
11
10
11
11
01
00
01
11
01
00
10
01
11
10
01
00
10
11
00
11
10
00
10
00
00
10
10
01
11
01
10
10
11
11
10
10
00
01
00
10
00
10
10
00
10
00
11
10
11
10
01
00
00
01
10
10
00
10
10
01
00
10
00
00
10
00
10
10
11
00
01
00
11
10
10
00
01
11
11
01
11
10
10
10
00
00
01
10
10
01
01
11
11
00
00
00
11
00
10
11
00
00
00
11
00
00
10
10
10
10
00
00
10
10
00
00
01
01
10
10
10
10
11
11
00
01
10
10
00
00
00
10
10
00
00
00
11
00
01
01
10
11
10
11
00
01
10
10
00
01
10
10
00
01
01
00
10
10
10
00
00
11
10
10
00
00
01
11
10
00
10
00
11
10
00
10
11
01
01
10
10
10
10
00
00
00
00
01
11
10
10
10
10
01
00
10
00
00
11
10
10
01
00
10
10
01
00
00
10
11
00
00
10
10
11
00
10
10
10
10
01
00
00
00
00
00
10
01
11
00
11
10
10
01
01
11
00
01
10
11
00
00
00
10
10
11
01
00
10
10
01
10
10
00
11
10
00
10
10
11
10
00
01
10
01
10
00
11
10
00
10
10
01
11
00
01
10
10
10
10
01
10
11
00
10
11
10
01
00
11
00
11
01
00
00
00
10
10
10
11
11
10
10
01
00
01
00
10
11
00
01
00
01
11
00
00
01
10
11
10
00
01
00
01
01
10
11
10
00
11
10
01
11
01
01
01
10
00
00
10
11
00
00
10
10
01
11
10
00
01
00
10
11
11
10
10
00
00
10
00
00
10
10
00
01
10
10
00
00
10
00
11
10
00
00
00
10
00
01
00
00
00
10
10
00
10
10
11
11
01
00
10
10
01
00
10
00
11
01
00
00
10
00
10
00
01
00
01
00
00
10
10
10
10
00
01
00
01
00
00
00
10
11
10
00
00
01
10
01
11
11
10
00
00
01
10
10
10
00
01
10
11
00
11
00
00
00
11
00
00
00
10
10
00
00
01
00
10
11
10
10
00
00
11
00
11
00
01
10
01
00
11
01
00
10
10
11
10
11
01
01
01
00
10
10
00
00
01
00
00
11
01
10
00
11
11
11
10
10
11
00
00
00
01
10
10
01
00
00
10
10
00
00
10
11
10
00
00
01
01
01
00
00
01
00
01
11
10
10
00
00
11
00
01
00
11
00
11
10
01
01
10
11
11
00
10
00
00
00
10
10
00
01
01
00
01
10
01
00
10
00
10
00
00
10
00
10
00
10
10
10
10
10
00
10
01
00
11
10
10
00
01
11
11
11
10
10
10
00
01
00
11
11
00
00
11
00
01
10
10
00
00
01
01
00
11
10
10
00
11
00
01
00
11
01
01
10
10
01
11
11
00
10
10
00
00
10
01
00
00
00
01
10
10
01
10
00
01
11
00
00
11
00
11
10
10
10
00
10
00
00
11
00
10
11
10
11
00
00
10
00
11
11
10
00
00
10
11
01
10
00
01
11
01
10
10
10
10
01
01
00
10
10
00
11
00
01
11
10
00
11
10
00
00
00
00
00
10
10
10
10
00
00
11
00
01
10
10
00
00
11
10
00
10
00
11
11
10
01
01
10
11
00
00
10
00
00
00
10
10
10
00
00
00
00
00
01
01
11
11
00
10
01
11
10
11
00
00
10
11
01
10
11
00
10
00
00
10
00
01
10
10
00
01
00
11
10
00
10
00
11
10
01
10
00
10
11
00
10
11
00
00
00
00
00
00
10
00
00
10
11
11
11
11
11
10
11
10
10
00
00
10
10
01
10
10
00
00
00
00
00
10
11
01
01
00
10
11
01
00
11
00
10
10
10
00
01
00
00
10
10
10
10
10
11
11
11
00
11
00
10
10
01
00
00
10
10
01
00
00
01
11
11
10
10
01
10
01
10
10
00
00
11
00
01
11
10
10
00
10
10
10
00
10
00
00
00
00
00
00
10
01
10
11
01
01
00
11
00
10
00
10
10
00
00
10
10
01
01
10
10
00
10
00
00
10
11
01
10
00
00
01
11
10
00
01
10
01
11
01
10
10
01
00
10
10
00
10
11
00
10
00
10
10
10
01
00
10
01
00
00
00
00
01
10
10
10
10
10
10
11
10
10
01
10
10
10
10
01
00
01
10
00
00
10
00
01
00
11
10
00
00
00
01
11
00
01
11
00
10
11
10
10
11
00
01
11
00
11
10
10
00
01
00
11
11
01
00
11
00
11
00
01
11
00
01
11
10
00
11
10
10
00
00
00
01
10
00
10
00
00
01
10
10
01
01
00
01
01
11
11
00
01
01
11
10
10
00
01
11
10
00
00
10
00
01
00
00
10
11
11
10
01
00
00
01
01
10
11
10
00
00
01
10
01
00
10
11
00
10
10
11
10
00
00
10
00
00
11
00
00
00
00
01
00
10
11
01
01
00
01
10
00
00
01
10
10
10
10
00
00
10
00
00
10
00
01
10
10
11
11
11
10
10
00
01
10
01
10
11
10
00
01
00
01
10
00
01
01
00
00
10
10
10
00
00
10
10
10
11
10
10
11
00
11
11
10
01
01
11
00
11
00
00
00
11
10
01
11
10
10
00
11
00
01
10
10
00
00
11
10
00
00
00
00
00
10
10
00
11
00
01
01
00
00
00
00
11
10
00
01
01
10
11
01
01
01
00
01
01
00
10
11
00
11
10
10
00
00
10
10
10
01
10
10
00
11
01
10
00
00
10
11
10
10
00
00
11
11
10
10
11
00
01
01
11
00
00
10
11
10
00
10
10
10
10
00
00
00
10
01
10
11
11
11
10
00
00
11
00
00
11
00
01
10
10
00
00
00
10
01
00
00
10
10
10
10
10
00
11
00
00
00
00
10
11
01
00
11
00
10
10
11
00
00
10
10
10
10
00
01
10
00
11
11
01
10
10
11
11
00
11
01
00
11
00
00
11
10
01
11
00
11
01
00
01
00
11
00
11
10
00
00
10
11
01
00
10
10
01
01
01
11
00
00
10
00
00
10
10
00
10
10
11
01
10
11
01
10
11
00
10
00
11
00
11
10
01
11
00
10
00
00
10
11
01
10
00
10
10
10
00
00
11
10
00
10
00
00
01
11
11
00
01
10
10
01
10
11
00
01
01
10
10
01
10
00
00
11
10
10
00
10
01
00
01
00
10
01
00
11
00
11
10
10
01
00
01
10
10
10
00
00
10
10
00
00
10
00
00
10
10
01
11
11
00
01
00
00
10
10
00
00
11
11
10
10
00
00
00
01
10
00
00
11
00
01
10
10
00
00
10
10
10
00
10
01
00
11
11
00
10
10
00
10
11
00
00
00
10
10
00
00
00
00
10
10
11
11
11
11
01
00
10
01
01
00
10
10
00
11
11
00
01
11
10
10
11
00
11
11
00
11
11
00
00
01
11
00
01
10
11
11
10
00
00
00
10
10
01
10
10
00
10
00
01
10
00
00
10
10
01
10
11
10
00
10
11
00
00
00
11
00
00
10
11
10
00
00
10
10
01
00
11
01
00
00
00
11
01
00
10
10
00
00
11
00
00
11
10
00
00
01
00
10
10
00
11
00
00
10
00
10
01
11
10
01
00
10
10
10
10
01
11
10
00
10
00
01
00
00
11
00
10
01
11
00
10
10
01
01
01
10
11
10
00
10
11
00
00
10
10
00
00
10
11
00
10
00
10
00
10
10
11
10
00
00
00
11
01
00
11
00
00
10
10
10
10
00
00
00
10
10
00
10
10
01
10
00
10
10
01
00
01
10
00
00
10
10
00
00
10
00
10
10
10
01
10
01
01
01
00
00
10
10
11
01
11
10
01
00
01
01
10
11
11
10
00
00
10
10
10
11
00
01
10
10
01
00
01
00
01
10
10
01
00
00
01
01
10
11
01
11
11
00
01
11
01
01
00
10
11
10
11
10
00
01
00
00
00
10
11
01
00
11
00
11
01
10
11
00
00
10
10
00
00
00
11
00
01
10
10
00
10
01
00
10
10
10
11
00
11
11
11
00
10
00
11
11
00
00
10
10
00
11
01
00
10
00
00
11
10
00
10
10
10
00
00
00
10
00
00
10
01
11
01
01
10
11
01
00
00
00
10
10
10
00
10
10
10
01
00
11
10
00
10
01
11
10
00
00
10
10
00
01
10
11
00
10
10
10
01
00
01
10
11
10
00
10
01
01
10
00
00
10
10
00
01
10
00
00
10
10
10
00
00
10
00
00
00
10
10
00
00
11
10
00
00
10
00
10
10
00
10
11
01
10
10
10
00
00
10
00
00
10
01
00
10
00
10
00
11
10
01
00
10
10
10
00
00
10
11
11
00
10
00
10
01
00
00
10
10
01
00
11
11
10
00
11
11
00
00
10
00
01
10
11
01
10
11
10
00
00
01
00
01
01
11
10
00
10
10
10
00
10
10
01
00
00
11
11
10
11
01
00
11
11
01
00
11
11
00
00
10
00
00
10
10
01
00
11
10
11
11
01
10
00
01
00
10
11
11
10
10
00
10
11
10
00
00
11
10
10
00
11
00
00
10
00
11
10
11
10
00
00
00
01
01
11
10
01
00
00
00
10
01
01
00
00
10
10
00
00
10
01
00
00
10
01
01
01
10
10
10
00
11
10
00
01
00
10
01
01
10
11
01
00
10
00
01
11
11
00
00
11
00
10
10
00
10
00
10
00
00
10
00
10
10
00
01
10
00
10
10
01
00
00
11
00
10
01
00
01
00
01
10
11
00
11
00
01
00
10
00
00
00
10
00
01
00
10
10
01
10
01
00
11
10
00
01
11
00
10
10
00
00
00
00
11
10
11
10
10
01
00
11
10
00
11
00
01
10
00
01
11
00
00
01
10
01
10
00
10
00
00
01
00
11
11
00
01
01
00
10
00
01
11
11
11
01
10
00
00
10
00
10
10
00
00
11
10
10
00
10
10
00
10
10
11
00
00
00
00
11
10
01
10
11
00
00
00
11
11
01
01
10
11
11
10
00
00
10
10
10
01
01
01
10
10
00
01
11
11
00
11
00
11
11
10
10
01
10
10
10
00
11
10
00
11
11
00
00
10
10
10
10
10
00
10
00
01
10
00
11
00
11
01
00
10
11
00
10
00
00
10
01
11
10
00
10
11
11
01
10
00
00
01
00
00
11
10
11
10
00
01
00
11
10
10
00
11
10
10
10
00
00
01
00
11
00
01
00
11
10
10
00
01
00
00
10
10
01
10
00
11
00
01
10
10
01
00
00
11
00
01
10
11
00
00
10
11
11
00
11
01
00
10
10
00
00
10
11
00
00
10
10
10
00
11
00
01
01
00
10
11
01
01
10
11
10
10
00
10
10
01
00
11
11
10
11
10
11
00
11
01
11
00
00
10
10
00
01
01
10
11
01
10
01
10
10
01
00
00
01
10
11
00
11
00
01
00
00
00
10
00
11
10
00
11
10
00
00
10
00
10
00
01
10
01
10
11
00
00
11
01
10
10
01
00
10
11
00
10
00
11
10
10
10
01
00
10
01
00
01
00
11
00
10
01
11
10
00
00
00
10
10
10
00
10
00
10
00
10
10
10
01
11
10
10
00
00
00
00
00
10
00
10
01
10
01
01
01
10
10
11
10
00
00
00
10
10
01
10
01
01
00
01
10
01
00
11
11
00
01
10
10
00
01
00
11
11
00
10
01
00
00
10
10
01
01
00
11
10
10
00
01
00
11
10
00
10
00
00
01
11
10
10
11
00
01
10
10
10
10
10
11
01
01
11
00
10
11
10
10
10
01
00
10
10
11
01
10
00
01
00
10
00
01
11
00
00
11
00
00
10
10
11
10
10
00
10
10
10
10
01
00
00
00
10
00
00
00
10
00
00
10
01
11
00
10
10
01
10
00
00
00
11
11
11
11
00
00
01
10
00
01
10
10
10
10
10
10
00
01
00
11
11
11
00
11
00
00
10
01
10
10
00
10
10
11
01
01
10
01
10
11
11
00
01
10
10
00
00
10
00
11
10
11
10
10
11
10
00
00
10
10
00
11
10
10
00
10
00
00
00
01
11
00
00
01
01
00
10
00
10
11
01
11
00
00
00
00
00
11
00
01
00
00
11
11
01
10
00
00
00
00
10
10
00
10
00
00
01
10
11
00
01
00
10
10
00
00
11
00
01
11
10
00
10
00
01
10
11
01
10
00
11
00
00
00
10
00
11
11
00
11
11
01
00
11
10
11
11
01
00
00
00
10
10
01
10
11
01
00
10
01
11
01
01
11
00
01
10
11
10
01
10
00
11
10
01
01
00
11
10
10
11
10
00
10
00
00
11
00
00
00
10
10
00
00
10
00
01
00
10
11
10
10
10
00
00
10
01
00
01
10
10
10
11
10
01
01
10
00
01
00
01
10
10
10
11
00
10
10
00
10
10
10
10
11
10
10
10
10
10
10
01
00
10
01
01
00
00
10
01
11
10
10
11
10
10
00
00
00
10
11
00
01
10
01
00
10
00
10
10
01
11
11
00
10
01
00
00
00
01
10
01
01
10
11
00
00
11
11
00
10
11
01
00
01
00
01
00
10
10
01
10
00
00
10
00
00
00
00
10
00
00
00
11
10
10
00
11
00
01
10
11
01
10
10
00
00
00
10
10
01
11
00
00
10
10
10
00
00
00
10
10
11
00
00
10
10
01
00
11
11
01
00
00
01
10
00
01
00
00
11
10
10
11
10
10
10
11
01
11
11
10
00
00
00
00
10
11
00
11
11
00
11
10
00
00
00
10
00
00
10
10
01
10
00
00
10
10
11
00
10
01
00
01
00
00
10
10
00
10
00
01
01
11
10
10
00
00
00
01
10
10
00
00
01
00
01
00
01
01
01
11
01
00
10
10
00
10
10
00
00
01
10
10
11
10
11
01
10
00
10
10
11
00
01
11
00
10
00
10
10
01
00
00
11
00
11
01
10
11
00
10
10
10
11
01
01
00
00
11
00
10
10
10
01
10
10
10
01
10
11
01
00
00
11
01
01
00
01
11
10
10
01
00
10
10
11
10
00
00
00
00
10
00
11
10
01
00
10
00
10
00
11
00
01
10
01
00
11
01
10
10
01
00
11
10
00
00
00
00
00
11
10
10
10
01
10
10
10
00
00
10
11
01
00
11
00
11
11
10
11
00
01
00
00
10
00
00
10
00
10
01
00
00
00
10
10
11
10
00
11
00
00
00
00
10
00
10
00
00
10
00
10
00
01
11
01
11
00
11
10
11
11
00
01
10
01
00
00
10
01
10
10
11
00
01
11
10
11
11
00
00
11
00
11
00
00
10
00
01
00
10
10
10
11
00
10
00
10
01
01
10
01
00
11
01
00
10
00
00
10
10
00
10
01
00
00
00
00
01
10
10
00
00
01
10
01
10
10
10
11
10
00
10
10
10
00
10
10
10
10
01
11
10
10
01
01
00
00
00
10
00
10
11
11
01
00
11
00
01
01
01
11
10
00
00
00
00
10
00
11
10
01
10
11
11
00
10
10
01
00
01
10
10
10
00
10
01
00
11
10
11
01
00
11
01
00
10
10
00
11
10
00
00
00
00
10
10
10
11
10
10
00
00
01
10
00
10
10
01
00
11
11
00
00
10
01
00
11
01
01
10
10
01
10
10
01
10
00
00
00
00
00
00
00
11
10
11
01
00
00
00
00
10
00
00
10
10
00
10
00
10
00
00
10
10
00
10
10
11
10
00
01
00
11
10
10
00
00
11
11
11
01
11
01
00
01
11
10
10
00
01
10
01
10
11
10
01
01
10
10
10
00
00
00
10
10
10
00
00
01
00
00
00
11
00
10
11
00
01
01
11
11
00
11
00
10
00
01
10
10
01
10
11
10
01
01
01
01
00
11
10
01
00
01
00
10
11
01
01
00
11
10
00
10
10
01
10
11
10
10
00
01
00
10
01
00
00
01
10
10
00
00
10
01
00
10
00
10
00
10
10
01
01
00
10
10
00
10
00
00
11
10
10
00
10
00
11
11
10
11
00
00
00
11
10
00
00
10
10
01
01
10
00
00
00
11
10
00
00
10
11
10
11
01
00
10
11
10
00
01
10
01
00
11
00
10
00
01
00
10
00
10
10
10
00
01
11
00
11
00
00
10
10
11
01
11
10
01
10
11
10
00
10
10
00
00
10
00
00
00
00
00
11
10
10
00
01
10
11
00
10
10
10
10
01
00
11
00
01
00
01
00
11
10
10
11
00
00
11
00
00
00
10
00
10
10
01
10
00
10
10
00
11
00
00
00
00
10
11
00
10
01
00
11
00
10
00
01
10
11
00
10
01
00
01
11
10
00
11
00
00
11
10
01
00
11
10
00
00
11
00
10
11
00
10
10
10
00
00
10
10
10
10
10
00
10
01
10
10
10
10
00
01
10
00
11
10
10
11
00
01
10
01
10
00
10
11
01
00
00
10
00
10
00
01
01
00
10
00
10
11
10
00
00
00
10
10
11
11
10
10
10
00
10
11
00
11
10
00
01
01
10
00
00
10
11
10
00
10
11
01
01
00
10
00
10
00
00
10
00
10
11
10
11
10
10
00
00
11
00
00
11
01
10
01
00
10
10
11
11
01
01
11
00
00
10
00
00
01
10
10
11
00
00
01
10
00
10
10
00
10
00
10
10
00
11
01
11
00
01
01
01
00
10
10
01
01
01
00
10
10
11
00
01
11
10
01
10
10
10
00
11
00
11
11
10
01
01
10
01
00
10
00
10
01
10
01
10
11
10
01
00
10
00
11
00
01
00
11
10
00
10
01
00
11
10
00
01
11
10
10
00
01
00
00
10
01
10
00
10
10
10
10
00
00
11
01
11
00
00
10
11
00
01
00
10
11
10
10
00
10
00
00
10
11
10
01
01
10
11
11
01
10
10
00
00
00
10
11
01
00
01
10
10
00
01
11
10
00
10
01
01
10
10
00
00
11
00
10
00
10
10
00
00
01
10
10
00
11
00
01
11
11
10
11
10
00
11
11
01
10
11
00
10
11
10
10
10
00
00
00
10
01
10
10
11
10
00
01
11
01
01
10
10
00
10
10
11
00
10
01
01
10
10
10
00
11
00
10
00
10
11
10
01
00
10
10
10
00
10
10
00
11
00
10
10
10
11
00
00
00
00
00
00
10
00
00
10
00
00
01
10
11
01
01
00
00
00
00
01
00
10
10
10
11
10
00
10
01
01
01
11
10
11
01
01
10
10
10
00
10
00
10
10
10
00
11
01
10
01
11
11
11
01
10
10
00
00
00
10
11
00
00
10
00
10
01
10
00
10
10
01
00
10
10
00
00
10
10
01
11
10
10
01
01
10
10
10
01
10
00
01
10
01
01
01
11
11
11
11
10
00
10
11
00
00
01
11
01
00
10
00
01
10
00
11
10
10
01
11
00
00
10
11
00
00
00
11
01
01
10
11
11
00
00
11
00
00
00
01
10
10
10
10
00
01
10
11
01
00
10
10
00
00
00
00
11
10
00
10
01
10
00
10
00
00
00
11
10
10
10
10
10
10
00
00
10
10
10
01
00
10
11
11
00
11
00
00
00
11
00
11
01
11
10
01
01
10
10
01
00
11
00
01
11
11
01
01
00
01
00
10
01
10
10
00
10
10
00
00
11
10
00
00
00
01
10
01
11
10
11
10
01
00
11
10
00
00
00
11
00
00
11
10
10
10
11
01
10
00
10
00
00
01
11
00
01
00
01
10
00
00
10
11
00
10
10
01
10
11
00
01
10
00
00
10
10
01
00
10
00
01
10
10
11
11
01
11
10
10
00
00
10
00
01
10
10
00
11
01
10
11
00
01
10
00
00
11
00
00
10
10
11
01
10
01
10
10
01
10
01
00
10
10
00
00
01
10
10
10
01
01
10
00
11
10
10
10
00
00
10
01
10
11
11
01
00
11
11
11
00
00
11
00
00
10
01
11
10
00
01
01
00
10
11
00
01
00
00
10
11
11
00
00
11
00
00
00
10
01
10
10
00
10
10
10
00
00
01
10
00
01
00
00
11
10
10
00
11
00
00
00
11
11
10
11
10
00
01
11
00
01
10
10
10
00
01
00
00
10
01
00
10
10
00
10
00
11
10
00
10
11
11
11
11
00
01
00
00
00
10
10
00
00
10
00
01
00
10
10
00
10
10
00
11
00
01
10
10
00
01
00
11
10
10
01
10
11
00
10
00
00
00
10
11
00
11
00
10
11
00
11
00
01
11
00
01
00
10
10
00
10
01
10
11
00
11
00
10
11
11
00
00
01
11
01
01
00
10
11
01
01
10
10
00
00
11
10
10
00
10
01
00
01
01
00
00
10
11
10
10
01
00
00
10
11
00
10
01
10
10
01
11
10
00
10
01
00
00
10
11
01
10
10
00
10
10
11
00
01
01
10
10
10
00
11
00
00
11
00
10
10
10
00
00
10
00
00
11
10
00
11
00
00
00
10
10
00
10
00
01
01
00
10
00
00
10
00
01
10
10
10
00
10
11
00
11
10
01
00
01
10
10
01
00
10
10
00
00
00
00
00
10
11
00
10
10
10
10
01
00
00
11
01
01
00
10
10
01
01
00
01
10
01
00
11
00
10
10
10
10
00
11
10
00
00
10
10
00
10
00
11
11
00
10
10
10
00
10
10
10
11
01
01
00
00
01
10
01
00
11
00
00
10
10
00
00
10
10
10
00
00
00
10
11
00
01
10
00
00
10
00
10
10
00
11
10
10
00
01
01
00
01
01
10
10
10
00
00
11
10
00
11
10
00
00
11
00
01
01
10
00
10
00
10
00
00
10
00
00
11
01
01
10
11
11
10
10
00
00
11
11
01
00
00
11
10
11
00
00
10
00
00
10
01
11
01
10
01
10
10
11
00
00
11
10
01
10
00
00
00
11
00
00
10
01
10
01
10
11
01
00
01
10
10
00
10
11
00
10
10
01
00
00
10
10
11
10
00
01
10
10
00
10
10
00
00
00
10
00
01
10
01
10
11
00
00
00
00
11
10
11
01
10
11
00
01
01
10
00
11
11
01
00
10
10
10
10
00
10
00
11
10
00
10
10
10
00
00
10
10
00
01
10
10
10
10
00
00
00
11
10
01
00
11
00
00
10
00
11
00
10
10
10
10
11
10
01
00
10
11
11
10
01
01
11
01
01
10
00
10
10
10
00
00
00
01
11
10
11
00
11
01
11
11
00
01
00
00
10
01
10
10
10
01
00
11
01
00
10
11
00
11
10
00
00
00
01
10
01
00
00
10
11
11
00
10
10
01
10
00
00
11
11
00
11
10
01
10
00
10
10
10
00
11
11
10
00
10
00
10
00
01
10
10
00
11
10
00
01
00
01
00
11
11
11
00
00
11
00
01
11
00
00
00
01
11
00
00
10
01
00
00
10
00
00
10
01
10
00
00
00
00
00
10
10
11
00
00
00
11
11
00
00
10
00
11
00
10
00
10
10
10
11
00
00
01
10
10
01
01
00
01
10
11
00
01
00
00
10
00
00
00
00
00
10
00
11
01
00
10
10
11
10
11
10
00
00
11
10
00
00
10
00
11
10
11
00
01
00
00
10
11
11
11
10
00
01
00
10
10
10
00
00
10
11
01
00
10
01
01
11
01
11
00
00
01
01
10
11
01
00
01
00
00
00
11
01
11
10
00
10
11
01
00
00
10
10
11
10
00
00
11
11
00
00
10
01
00
00
10
00
10
10
01
10
10
11
10
00
00
10
01
11
00
11
11
01
01
11
10
10
10
01
00
10
10
00
00
01
00
10
11
01
01
11
10
10
01
10
00
10
10
00
10
10
00
01
01
10
10
00
11
00
10
10
11
01
10
10
01
10
10
10
00
00
10
10
00
10
11
00
10
10
11
00
01
00
00
00
10
00
01
10
10
10
01
11
00
10
00
01
10
10
10
11
10
01
00
11
11
01
01
11
10
01
01
10
11
00
01
01
10
11
00
10
10
10
00
10
00
01
10
10
00
10
10
00
01
00
00
11
00
01
11
01
10
10
00
00
10
10
00
00
11
11
00
11
10
00
00
01
01
11
11
01
01
01
11
11
00
00
10
10
10
00
00
11
00
00
00
00
11
00
00
01
00
00
10
01
11
11
11
10
10
01
11
00
00
10
00
00
00
00
10
11
01
00
11
10
00
01
10
10
10
10
01
10
00
00
10
11
10
10
01
00
10
11
01
11
10
00
11
01
10
10
00
11
11
01
00
10
10
00
00
00
10
10
01
00
11
01
10
11
01
00
10
01
00
10
10
00
01
00
10
10
00
00
00
00
11
00
10
00
00
11
11
01
10
00
00
10
10
00
00
10
10
11
11
10
01
00
01
11
00
01
00
10
10
00
10
11
10
01
00
00
11
01
10
11
10
10
11
00
00
11
01
01
10
10
10
10
00
10
11
00
00
11
00
00
00
10
10
11
10
00
01
00
01
11
00
00
10
00
10
00
00
10
01
11
11
00
11
01
00
01
11
01
01
11
11
11
00
11
10
11
00
00
00
00
10
10
10
00
00
00
10
10
10
00
10
00
10
11
01
11
00
01
00
11
11
10
01
01
10
11
00
11
00
11
01
00
10
11
11
01
10
10
10
00
11
10
00
00
10
01
00
01
00
10
11
01
10
10
11
01
11
00
00
10
11
01
00
11
11
11
00
00
10
11
00
00
00
10
00
01
10
00
00
11
00
00
10
00
10
11
01
10
10
01
00
10
10
01
01
00
11
11
11
10
10
00
00
00
10
00
00
00
10
10
11
10
01
11
00
11
00
11
10
00
00
01
00
10
00
01
10
10
00
00
00
10
10
01
00
00
11
10
00
00
11
00
00
01
11
01
10
10
00
11
01
00
10
10
10
00
11
10
00
00
10
01
10
10
01
01
11
00
00
10
10
11
11
00
01
11
11
10
11
10
00
00
00
10
11
00
10
10
10
10
00
00
00
00
10
01
00
10
00
10
11
11
11
01
10
01
00
10
01
10
11
00
00
10
00
01
00
10
11
00
01
11
10
11
11
11
00
01
10
10
10
00
00
10
00
00
10
10
00
01
00
11
11
10
00
10
00
01
10
00
01
00
11
00
00
10
00
00
01
10
10
00
10
00
00
10
10
10
10
01
01
11
00
11
10
11
00
00
00
10
10
01
01
11
11
10
01
00
01
10
10
00
10
10
00
00
10
11
00
10
10
00
01
10
00
10
10
01
10
00
00
00
11
00
10
01
00
10
10
01
01
10
10
00
00
11
11
00
01
00
10
00
00
11
10
00
00
10
00
11
01
10
10
01
01
11
00
10
01
00
00
00
11
10
00
00
11
10
01
11
10
10
10
00
00
00
10
10
00
00
00
00
11
01
00
10
10
10
00
10
10
10
00
00
01
00
10
10
10
10
01
10
00
01
11
10
11
01
00
10
10
00
11
11
00
11
11
10
01
11
00
11
00
00
10
00
00
10
10
00
00
00
01
10
10
00
10
01
00
10
11
00
01
10
10
01
10
11
00
10
10
11
10
10
10
00
00
11
01
00
00
00
00
11
10
10
00
00
11
01
01
10
11
01
11
11
01
01
11
10
00
01
10
00
01
10
10
10
01
01
11
10
11
00
01
11
01
10
10
00
00
10
10
00
01
01
01
10
10
01
10
00
01
01
01
10
10
11
01
10
01
00
10
00
11
00
11
11
10
10
10
00
01
10
11
00
00
11
10
00
10
10
00
00
10
10
10
00
00
01
11
10
11
10
00
11
10
01
10
10
00
10
10
00
01
10
00
00
00
10
01
00
10
01
00
11
10
01
00
01
10
10
10
00
00
10
01
00
00
00
10
10
00
10
10
10
00
01
10
10
10
10
00
10
00
11
00
10
01
10
11
00
10
00
00
10
01
00
10
11
01
00
10
01
00
10
10
11
10
01
11
01
10
11
00
11
10
01
01
11
10
11
00
00
11
10
11
10
10
01
10
01
00
10
00
10
10
10
01
00
01
10
11
00
11
01
10
00
00
01
00
11
10
10
11
10
00
00
11
10
00
01
01
10
01
00
10
00
00
10
00
00
10
10
10
10
10
01
01
10
11
00
10
10
10
00
10
10
00
00
10
10
00
11
10
11
11
00
11
10
10
01
00
00
01
10
10
10
01
00
10
10
10
10
11
00
00
00
11
10
10
01
10
10
01
00
10
10
00
10
00
00
01
00
11
10
10
00
00
01
10
11
00
00
10
11
00
00
10
11
00
10
00
00
10
10
10
00
01
00
11
11
01
01
01
01
00
10
10
01
00
10
11
00
11
01
00
10
00
00
00
00
10
01
01
10
01
01
11
10
00
10
00
10
11
00
00
00
01
10
00
00
10
10
01
10
10
00
00
01
10
10
11
10
00
10
00
00
10
00
10
00
11
00
01
11
11
11
00
10
00
10
11
00
00
11
10
00
10
00
11
11
11
00
10
01
01
10
01
00
10
00
01
10
10
10
01
00
10
00
00
11
00
00
10
10
00
10
01
10
00
10
00
11
00
10
11
10
11
01
11
01
10
11
00
00
11
10
00
01
00
10
10
00
01
11
10
00
00
00
10
10
11
11
11
00
10
11
10
00
01
00
10
10
00
00
11
10
10
00
01
11
11
00
00
10
00
10
10
00
00
11
10
01
01
00
00
01
10
10
00
00
00
10
00
10
00
00
00
10
10
01
10
10
01
00
10
10
00
11
00
01
11
10
00
11
01
00
10
11
00
00
00
01
10
11
10
00
00
10
10
10
10
00
11
10
01
10
00
01
00
11
11
10
10
00
11
00
01
11
00
10
00
10
11
10
11
00
11
11
00
00
10
11
00
11
10
10
00
00
00
10
10
00
00
10
01
11
01
10
10
10
00
00
00
11
11
00
10
00
10
10
11
01
10
11
10
00
00
10
11
00
01
10
11
01
00
00
00
10
00
01
11
01
00
00
00
00
10
10
00
00
10
10
11
00
11
10
10
01
00
01
00
01
11
00
00
00
10
10
00
10
10
10
01
10
10
00
00
00
11
00
00
10
00
01
10
10
00
00
11
00
10
10
00
00
10
00
00
00
11
11
10
00
00
01
00
00
10
10
10
00
11
00
00
00
10
10
00
01
11
00
11
10
01
00
10
11
10
11
01
00
11
00
00
10
00
00
00
01
10
01
01
10
11
00
00
10
00
00
10
10
00
10
10
01
00
00
11
00
01
10
00
01
10
00
10
10
00
00
10
01
00
10
10
10
10
01
00
10
11
10
01
10
10
01
11
01
00
11
10
00
10
10
00
10
01
01
11
10
00
10
01
00
11
01
10
00
00
11
10
10
00
10
00
01
11
00
10
01
00
00
01
11
10
00
11
10
10
11
00
00
11
11
01
00
00
10
11
10
00
00
11
00
00
10
01
10
00
00
10
10
10
00
00
00
10
00
10
10
00
00
10
01
01
00
01
00
10
00
00
11
10
10
01
01
10
00
10
11
00
00
10
11
11
00
11
11
00
10
00
00
10
11
11
00
01
10
00
01
00
00
10
10
00
11
11
01
10
10
11
10
00
00
10
01
10
10
01
11
10
10
10
00
10
10
01
01
10
00
10
10
01
10
01
10
10
01
00
11
11
00
00
01
01
10
00
00
10
10
10
10
00
00
10
10
01
00
00
01
00
11
10
00
00
11
00
01
10
10
01
11
01
01
01
10
10
10
01
01
11
00
10
11
00
00
00
00
11
01
01
11
10
00
01
11
00
01
10
10
10
00
00
00
00
11
10
10
10
01
10
11
10
10
10
10
00
00
00
10
11
00
00
00
11
10
10
01
01
00
01
00
10
00
10
11
00
01
11
00
11
11
10
10
10
00
00
00
10
10
00
11
11
10
10
10
01
10
01
10
01
01
00
01
00
11
10
01
00
10
00
01
10
00
00
00
00
01
01
10
01
10
11
00
00
10
00
10
10
01
10
00
00
00
00
01
10
11
00
10
10
01
10
10
10
01
01
11
10
11
00
11
10
01
10
10
10
00
00
11
01
00
11
00
10
00
00
11
10
10
00
01
11
11
10
00
10
10
00
11
10
00
01
10
00
00
00
00
10
01
00
11
11
01
10
10
10
00
10
10
00
10
01
10
11
01
00
11
01
01
11
01
00
01
11
10
01
10
10
00
00
01
10
11
00
00
11
10
10
00
10
10
11
10
00
00
10
10
11
10
01
00
10
10
01
00
11
00
00
10
10
10
00
11
01
00
10
11
10
00
10
00
01
00
00
10
01
11
01
10
10
01
10
10
01
01
00
01
00
00
00
11
00
10
00
01
00
10
01
01
01
10
00
11
10
10
01
00
00
10
11
10
10
00
00
00
11
01
01
10
11
10
00
10
00
00
10
00
00
10
01
00
00
00
11
10
11
01
10
11
00
00
11
01
00
10
10
00
10
01
00
11
11
00
00
01
00
10
00
00
10
00
00
00
10
10
00
00
10
00
10
00
10
01
10
00
10
00
11
10
10
00
11
00
10
10
11
10
00
00
00
01
10
11
10
10
00
10
10
00
10
11
00
11
11
01
00
00
10
00
00
10
01
01
01
00
10
11
10
10
11
11
10
10
00
00
01
00
00
00
11
11
11
00
00
10
00
10
10
10
01
10
00
00
10
11
00
00
01
00
01
00
10
00
00
11
01
01
00
00
10
00
00
10
11
10
10
00
10
00
00
01
01
00
10
01
10
00
10
11
10
00
10
10
11
10
00
01
10
01
00
10
10
00
00
11
00
00
10
10
10
01
11
10
01
00
10
10
00
11
10
00
01
11
01
10
10
00
10
11
01
00
11
00
00
11
10
00
10
00
01
10
10
00
00
00
11
10
00
01
11
00
10
10
01
01
01
10
11
00
00
01
10
10
11
00
00
11
10
11
01
00
00
10
10
11
10
00
10
00
10
11
11
10
11
01
11
10
00
00
00
01
10
10
00
10
10
10
10
00
10
10
00
01
10
10
00
00
00
00
01
10
11
11
00
00
10
00
01
00
11
10
00
01
10
11
11
01
01
11
00
01
01
01
11
10
01
01
10
01
00
10
10
00
10
11
00
11
10
10
10
10
00
01
11
10
11
01
01
10
01
00
01
10
11
10
01
00
10
00
10
11
00
01
11
01
10
00
00
10
00
01
10
10
01
01
10
10
01
11
11
00
01
01
10
00
01
10
10
10
00
01
10
00
00
10
10
10
00
00
10
01
10
11
00
00
00
00
00
00
10
11
00
11
10
11
00
00
10
11
01
00
10
10
01
01
10
11
10
01
10
10
10
10
00
00
10
10
11
00
11
10
01
00
10
11
01
00
10
11
10
00
10
10
10
11
01
11
00
11
00
00
01
10
00
00
11
01
10
10
10
00
00
11
01
10
11
00
11
11
10
10
00
11
10
10
00
00
11
10
10
01
10
11
00
00
00
00
10
10
11
00
00
10
00
10
11
00
10
00
10
01
01
11
00
10
10
10
11
11
01
00
10
11
10
10
10
00
00
01
00
10
01
11
01
00
00
10
10
11
10
01
00
11
00
00
10
00
11
10
11
10
00
01
01
11
10
11
10
01
01
11
11
01
00
10
11
00
01
00
10
10
10
11
10
10
00
00
00
00
00
10
00
01
00
11
00
01
00
10
01
10
01
01
11
10
00
01
10
10
10
10
00
00
01
11
10
00
00
01
10
11
10
10
00
00
11
00
10
10
01
11
01
11
00
00
10
10
10
10
00
01
10
00
10
11
10
10
10
11
10
01
10
10
10
00
00
10
01
00
10
00
10
00
10
00
10
00
11
10
11
00
10
00
10
01
00
00
10
11
00
11
01
11
10
11
11
00
10
10
01
11
00
10
10
00
00
00
10
00
00
00
00
00
11
10
01
10
01
01
10
00
11
00
10
10
00
10
01
10
11
01
01
00
11
01
10
10
00
01
10
00
10
00
11
10
00
10
01
10
10
10
00
00
01
10
10
11
01
10
10
00
00
10
10
00
10
01
00
11
10
11
00
00
00
00
00
11
10
00
10
01
00
11
10
00
11
10
10
01
00
11
01
10
11
00
00
01
00
10
10
10
00
10
00
01
01
00
10
01
11
00
01
00
10
10
10
10
01
10
00
11
00
01
00
10
10
00
01
10
00
10
10
01
01
00
11
00
00
01
00
10
00
10
00
00
10
10
10
01
01
10
10
10
00
01
00
10
11
10
00
11
10
01
11
11
10
00
10
00
01
00
00
10
11
00
01
10
10
01
00
01
10
10
01
01
10
10
10
00
10
01
00
10
10
11
10
00
11
10
00
10
00
11
10
01
10
10
10
01
11
00
00
10
10
01
10
00
00
10
00
00
10
01
10
10
01
10
01
11
10
01
00
10
10
10
01
11
10
01
10
00
00
00
11
00
01
10
11
10
11
10
11
10
01
11
11
10
01
01
00
00
10
10
11
10
00
00
10
10
01
00
00
10
00
10
11
10
11
10
00
10
00
10
10
10
10
01
00
01
01
01
10
01
10
00
00
11
11
00
10
00
00
00
00
10
10
10
00
00
10
10
10
01
10
00
11
10
10
01
00
10
11
00
10
00
00
00
10
11
10
00
00
01
11
00
00
10
10
00
01
10
10
10
10
00
00
10
11
10
01
11
11
00
00
10
10
00
00
00
10
00
00
00
11
00
10
11
00
00
11
11
00
00
10
11
01
00
00
01
00
10
11
11
10
00
00
00
00
00
10
00
10
00
11
11
10
00
11
01
10
10
00
10
11
10
10
10
00
01
00
10
01
00
01
00
10
10
01
11
00
00
10
11
10
00
01
00
01
10
10
10
01
00
10
11
00
00
00
10
11
10
10
00
10
10
10
00
00
10
10
10
10
00
10
00
00
10
11
11
10
00
00
00
10
01
00
11
11
00
10
00
10
10
10
01
00
00
10
10
00
11
10
01
11
10
00
00
00
10
01
01
11
00
11
10
10
10
10
00
00
10
00
00
00
11
01
00
11
00
11
00
10
11
01
00
11
11
01
10
01
10
10
10
01
00
11
11
01
00
01
10
01
00
10
10
00
01
10
00
00
11
10
10
11
00
00
00
10
00
00
10
00
11
11
10
00
01
10
10
00
10
01
00
10
11
10
00
10
00
00
00
00
10
00
11
11
00
10
00
11
10
11
00
00
00
10
10
00
00
10
11
01
10
11
10
10
01
11
00
10
11
10
00
10
10
01
11
01
00
10
10
11
00
01
11
10
00
00
00
01
01
10
10
00
00
10
00
01
11
10
01
01
00
01
00
10
00
00
10
10
10
01
10
00
00
00
00
11
11
00
11
01
00
10
11
10
01
11
10
00
11
01
10
11
01
00
10
01
10
01
10
11
00
01
10
10
11
01
10
11
10
00
00
01
01
00
11
11
01
01
00
11
10
00
00
10
11
00
00
10
10
00
00
10
10
00
10
00
00
11
10
00
10
01
10
11
10
11
11
10
10
10
01
00
10
11
11
11
10
00
10
10
10
10
01
01
10
01
01
00
10
10
01
10
00
11
01
10
10
00
00
10
10
00
00
11
10
01
10
11
00
10
00
10
00
00
10
00
10
10
10
00
00
00
00
00
10
11
00
11
10
00
11
00
00
01
11
10
00
00
10
00
11
00
00
10
10
11
10
00
11
10
01
11
00
10
01
10
10
00
01
11
00
00
01
01
00
10
00
00
10
00
01
00
11
01
10
10
01
01
10
11
01
10
11
11
00
00
10
10
01
00
10
01
00
10
00
01
01
11
11
11
01
00
11
10
10
00
00
01
10
11
00
01
10
10
00
00
11
10
00
00
01
00
00
10
11
10
11
10
10
01
01
00
10
10
10
00
01
00
10
11
01
01
01
00
11
10
11
01
10
10
00
01
01
10
00
11
00
10
00
01
10
10
10
11
11
00
10
00
11
11
01
10
00
00
00
00
00
10
10
10
10
01
10
01
10
01
00
10
10
10
11
10
00
00
10
01
10
11
00
01
00
01
11
00
10
10
01
00
01
10
00
11
11
01
10
00
00
01
00
11
11
00
00
00
10
10
00
00
00
10
10
00
11
10
10
10
11
01
10
00
01
10
00
00
10
10
11
11
00
00
00
11
11
11
10
00
10
11
00
11
11
00
00
01
10
10
00
00
00
10
00
00
00
00
11
10
10
11
00
00
00
01
10
00
01
00
10
00
10
01
00
10
00
01
00
11
11
10
11
10
11
11
10
01
00
11
00
01
10
10
00
00
00
11
10
00
00
00
11
11
01
00
11
00
00
01
01
11
00
10
10
11
00
11
11
11
00
10
11
01
01
00
00
01
00
10
11
11
01
10
00
00
00
10
00
01
11
00
01
01
11
10
11
01
10
10
00
11
11
11
01
10
00
11
00
01
00
00
10
01
10
10
10
01
01
10
10
00
10
10
10
00
00
10
10
10
00
10
10
00
00
01
11
00
10
01
00
00
00
10
10
00
10
01
11
00
00
00
10
00
00
11
11
01
00
10
00
10
00
00
10
10
00
00
00
00
00
11
00
10
10
00
00
10
00
11
10
01
00
10
10
00
00
00
00
10
00
00
10
00
11
11
10
10
00
00
10
01
00
10
01
00
00
10
11
10
01
00
00
10
11
11
01
00
11
01
11
10
10
01
00
00
10
10
11
01
01
00
00
11
11
00
01
10
11
10
00
10
01
00
00
01
10
10
00
00
11
10
01
01
10
01
00
00
10
00
00
10
10
11
11
01
00
01
11
11
01
11
01
01
01
01
11
11
11
00
01
10
00
11
01
01
11
00
10
10
00
01
00
10
10
01
11
11
10
00
00
00
01
10
10
01
10
10
00
11
01
00
01
01
10
00
01
10
11
10
00
10
01
11
11
01
00
00
11
01
00
10
10
00
01
00
01
01
01
10
11
10
00
10
10
10
10
10
00
00
00
10
10
00
00
10
00
10
01
10
10
10
00
00
11
00
10
10
10
10
10
01
00
10
10
00
01
11
11
00
11
10
11
00
01
11
11
00
01
00
10
11
01
00
00
00
11
01
00
01
10
11
10
00
00
11
01
00
10
10
00
01
00
00
01
10
10
00
01
11
10
10
10
10
10
10
00
01
10
10
10
01
00
10
10
10
11
00
10
01
00
11
00
10
11
10
10
01
00
10
01
01
01
10
00
01
11
00
10
10
00
10
10
10
00
00
10
01
01
10
10
11
10
00
11
00
00
10
10
10
01
00
11
11
00
10
10
01
01
11
10
00
00
01
00
00
00
10
00
00
10
10
00
00
10
01
11
11
11
00
10
10
11
10
00
00
01
11
01
11
01
11
11
00
01
10
11
01
01
01
10
10
11
01
10
00
01
01
11
01
10
10
11
10
00
10
10
01
00
00
10
11
11
00
10
10
11
10
00
01
10
00
10
10
00
00
01
10
01
10
11
10
10
10
00
01
11
11
00
00
10
11
00
01
10
10
10
10
10
00
00
10
00
01
00
00
10
11
01
00
00
10
01
00
00
10
11
00
00
01
00
00
10
01
00
00
01
10
10
00
00
10
10
01
01
10
00
01
10
10
11
10
00
10
00
01
11
10
00
00
10
10
10
10
00
01
01
10
00
11
11
10
10
10
00
01
00
10
11
10
00
00
00
10
00
10
00
11
00
01
10
11
00
00
10
10
00
00
10
10
01
10
10
11
01
11
01
01
10
10
11
01
00
10
10
00
01
00
01
10
11
00
00
00
01
00
11
00
00
01
00
01
00
00
10
10
10
00
01
10
00
10
00
00
00
10
10
10
01
11
01
00
10
01
00
10
00
01
10
10
10
10
00
00
10
01
00
10
11
00
00
10
01
00
00
10
10
01
11
01
10
10
10
10
10
00
01
10
10
01
10
00
00
00
00
10
10
01
10
00
10
00
11
00
11
11
10
01
10
10
00
00
10
10
10
00
10
00
00
10
10
10
10
10
10
00
00
01
01
01
11
00
00
11
00
11
10
00
01
01
11
10
10
01
10
01
00
10
10
10
01
10
11
01
01
11
01
11
11
01
00
00
10
10
01
10
10
00
01
01
10
00
01
10
11
00
10
10
00
00
10
10
01
00
00
10
11
01
00
11
11
10
01
10
10
10
01
01
00
00
11
01
01
10
10
01
11
01
11
01
00
00
10
01
00
10
00
01
11
10
00
00
10
11
01
11
00
00
10
10
10
10
00
00
10
01
10
00
10
10
11
11
10
01
01
10
00
10
10
01
00
11
01
10
10
10
00
00
10
00
00
00
10
00
10
01
01
00
01
01
11
00
00
01
11
11
01
10
11
00
11
00
00
10
11
00
01
01
11
11
11
11
01
10
00
10
10
00
00
10
10
00
01
10
01
10
10
11
10
10
10
01
00
00
10
11
00
10
10
11
10
10
11
11
00
00
10
11
11
00
01
00
00
00
10
11
01
01
10
10
10
00
01
10
00
10
10
10
10
00
01
00
01
10
10
10
10
00
10
10
00
10
10
01
10
01
00
11
00
00
00
10
10
00
10
10
00
10
11
10
10
01
10
10
10
00
10
00
00
10
00
10
00
10
10
10
11
00
10
10
01
10
01
00
10
10
01
01
11
00
00
00
10
01
10
00
01
10
11
00
00
10
10
00
01
01
10
00
11
10
10
01
11
11
00
10
10
00
00
01
10
00
10
10
10
01
00
11
00
01
00
00
11
11
00
10
10
00
01
11
00
11
01
11
11
00
10
11
10
00
10
10
00
11
10
01
11
11
10
00
00
00
11
10
10
01
10
11
10
10
01
00
01
10
00
01
00
00
11
10
01
00
10
00
00
00
01
10
10
00
00
10
01
00
10
01
10
11
10
00
10
00
00
11
00
00
11
00
10
00
00
10
01
00
11
10
01
10
10
00
10
00
00
11
11
00
01
00
01
10
10
10
01
00
00
00
10
00
00
11
10
01
10
10
10
10
01
10
10
00
10
01
11
00
10
10
10
11
00
01
00
11
00
10
10
00
00
11
10
00
00
10
10
10
00
10
11
00
00
01
11
11
00
10
00
10
01
01
10
11
10
10
00
00
01
00
10
10
11
00
10
01
01
10
10
00
00
10
11
00
10
10
01
11
00
10
10
01
11
00
00
10
10
11
11
11
01
00
00
01
10
00
00
11
10
11
00
00
11
11
10
10
00
10
10
10
00
11
10
00
01
00
11
01
10
01
10
00
10
11
00
00
10
10
00
01
00
10
00
10
10
10
10
00
00
10
00
00
10
10
10
01
00
10
10
11
00
11
00
01
10
10
00
01
01
11
00
01
00
11
11
10
00
00
10
10
00
11
01
00
00
00
10
01
00
00
01
10
00
10
10
10
00
01
11
10
10
11
10
10
10
00
00
00
00
01
01
11
10
00
01
10
00
00
10
00
10
00
01
00
00
10
10
00
10
10
11
00
10
00
00
10
10
00
01
10
11
00
10
00
00
00
01
01
10
01
00
11
10
00
11
10
10
10
10
11
00
00
10
00
10
10
01
00
01
01
10
11
10
00
11
01
11
10
00
11
00
11
00
10
10
10
10
00
10
10
00
00
11
10
01
10
00
00
00
10
00
00
10
10
11
00
00
01
10
00
00
10
01
00
10
01
01
00
00
10
11
00
00
00
10
00
11
10
00
00
00
01
00
00
10
00
11
00
00
11
11
00
10
11
00
10
01
11
10
01
01
01
10
00
11
10
00
00
01
10
11
00
10
00
11
11
11
11
00
01
10
01
10
10
10
01
00
10
00
00
00
10
00
10
10
00
00
00
10
00
00
10
00
00
01
01
00
10
00
10
10
10
00
00
10
00
00
10
00
11
01
10
11
10
00
10
10
11
10
01
00
00
10
01
00
01
00
00
10
11
00
01
00
10
00
00
10
01
11
11
01
00
10
00
00
00
10
10
00
10
10
00
11
00
10
00
11
10
10
11
01
10
10
10
01
01
11
11
00
10
11
10
00
00
11
10
00
00
11
10
00
10
01
11
11
01
01
11
01
10
11
00
00
10
11
01
10
10
00
00
01
10
00
11
10
01
10
01
11
01
00
01
10
10
01
00
10
10
10
11
10
01
01
11
11
01
10
01
00
01
01
10
00
10
10
00
01
00
10
10
00
10
01
10
10
00
00
10
00
10
10
11
01
10
00
01
00
00
10
01
10
00
01
10
11
01
00
00
00
10
00
10
10
01
10
10
10
10
10
01
01
01
10
10
00
10
00
00
10
11
11
10
11
00
00
10
11
00
10
10
00
10
00
10
10
01
11
01
00
10
01
00
10
00
00
00
11
00
11
00
00
00
00
10
10
10
01
11
00
00
10
00
00
10
00
00
11
10
10
11
00
11
10
01
00
11
01
11
11
00
10
10
11
01
01
10
00
00
00
10
00
01
11
10
10
00
01
01
00
00
00
10
10
00
00
10
01
01
10
10
11
10
10
01
11
00
00
00
10
10
00
10
01
00
01
10
01
11
10
10
10
01
10
10
01
00
01
00
10
10
01
11
00
01
10
11
10
00
10
10
11
11
10
01
10
01
00
10
11
10
10
11
10
00
11
10
00
10
11
01
10
00
00
01
00
11
11
11
10
00
00
01
11
10
11
11
11
11
00
00
11
00
01
01
10
00
01
11
01
10
10
00
10
00
11
11
00
00
01
11
01
10
01
11
10
11
01
10
00
01
11
00
00
01
00
01
10
00
01
10
10
11
01
01
11
01
00
11
10
00
10
01
00
01
11
11
00
01
10
11
11
01
00
00
11
11
00
00
11
10
10
10
00
00
00
10
10
11
00
00
01
10
01
11
00
01
01
10
10
00
00
10
10
00
00
00
10
00
10
10
00
10
10
01
01
00
01
10
11
00
10
00
10
11
00
00
10
00
00
01
00
00
10
10
00
10
11
00
10
11
00
10
10
00
00
00
10
10
10
00
00
00
11
10
11
00
11
00
11
00
10
11
01
00
10
11
00
11
11
01
11
11
11
11
00
00
00
11
11
00
00
10
00
00
11
10
10
11
00
00
10
00
00
01
10
10
01
00
00
00
11
10
10
10
00
01
10
11
11
00
01
11
10
00
00
11
11
01
00
00
11
00
00
10
00
01
00
10
10
11
01
11
00
01
10
00
00
10
10
01
00
10
00
00
01
10
01
01
10
10
00
11
10
01
10
10
00
00
00
00
10
00
00
10
00
00
10
01
10
11
00
01
00
00
11
00
10
00
00
10
00
10
11
01
00
10
01
00
00
11
00
10
10
00
00
11
10
01
01
11
00
11
00
10
11
01
01
10
10
00
00
01
10
10
00
00
00
11
10
10
01
00
00
10
00
01
10
10
10
00
11
10
11
00
00
10
10
00
10
10
01
11
10
00
10
01
10
11
00
00
10
10
00
10
11
00
01
00
10
10
10
00
11
10
01
00
10
00
01
00
11
10
00
00
00
11
11
10
01
10
10
00
11
00
11
10
01
00
11
10
01
10
10
00
00
10
10
00
01
10
10
10
01
01
01
00
10
11
00
10
10
11
00
00
11
11
11
10
10
11
00
01
01
00
10
10
11
11
01
10
00
10
00
00
00
11
00
00
10
01
11
00
10
11
01
01
11
10
00
00
00
00
01
10
10
10
10
00
01
01
11
11
11
01
00
00
00
10
10
01
10
10
11
10
00
10
00
01
11
10
10
00
10
00
00
10
10
01
01
10
00
00
10
10
00
11
00
01
01
01
10
01
10
11
10
01
00
00
00
11
10
10
10
00
10
10
11
10
00
00
10
10
00
00
11
10
11
00
01
11
10
00
01
10
11
00
11
01
00
10
01
10
10
00
10
01
00
11
11
00
01
11
11
00
10
10
00
10
01
00
11
10
00
01
11
01
00
00
11
10
00
00
10
11
00
10
10
00
11
01
01
00
11
10
01
00
11
00
00
00
10
10
01
01
10
00
00
00
10
01
10
00
00
01
10
10
00
01
10
11
01
00
10
11
10
00
10
10
11
10
01
00
00
00
11
10
11
01
01
00
10
10
01
01
10
00
00
11
10
01
10
00
11
10
01
10
01
00
10
10
00
10
11
00
10
00
01
10
00
00
00
10
10
10
10
10
11
01
10
00
00
00
10
11
10
00
00
10
01
00
00
00
11
10
00
11
00
00
10
10
00
01
00
00
10
10
01
00
01
10
00
10
10
00
11
00
11
10
00
01
10
01
10
00
01
01
11
11
10
11
00
11
10
00
00
10
00
00
00
00
00
11
01
01
00
11
01
11
11
00
01
10
00
00
00
10
11
11
01
00
11
10
01
11
00
01
10
10
01
00
00
00
00
10
00
00
10
10
01
10
10
00
01
00
01
10
01
01
10
00
00
00
10
00
00
10
10
10
10
10
10
00
11
10
11
01
00
11
00
01
10
00
01
00
10
11
00
01
00
11
10
11
11
01
10
11
10
11
01
00
01
10
10
00
00
10
10
00
00
00
00
00
00
00
00
00
10
00
01
11
01
10
01
10
10
00
01
10
10
10
10
11
00
11
10
10
01
00
00
11
01
00
01
10
10
00
01
10
01
10
10
10
10
00
10
11
00
01
11
00
00
01
10
00
10
11
10
00
00
10
00
10
00
01
10
00
10
10
00
00
00
10
00
00
11
11
10
10
10
00
10
10
01
00
00
00
10
00
01
10
11
00
10
10
00
01
10
00
01
10
01
10
10
11
10
00
00
00
10
11
00
00
01
00
00
00
00
11
11
10
00
10
10
10
10
00
01
01
00
10
10
11
10
01
01
10
11
10
10
01
01
10
10
00
00
10
10
00
10
00
10
00
00
10
01
10
10
01
10
10
10
00
01
10
00
00
00
11
10
10
00
10
00
00
00
10
10
00
00
10
11
10
11
10
10
01
00
01
01
10
10
10
10
00
10
10
10
00
01
00
10
01
10
01
00
10
00
01
11
11
10
10
10
01
10
00
00
10
01
10
10
01
10
00
00
11
10
11
00
10
00
00
00
10
10
01
11
10
10
10
10
00
10
01
00
10
01
11
00
01
10
10
10
11
00
11
10
10
01
00
10
11
10
00
11
10
00
00
11
10
00
11
00
10
10
01
10
01
01
00
10
10
10
10
00
10
00
00
00
00
00
10
10
10
11
01
10
11
00
10
10
00
00
00
10
00
00
00
01
11
01
11
00
00
10
01
00
01
10
10
00
10
10
10
01
01
00
01
00
10
00
00
11
10
00
01
01
00
10
00
00
11
01
11
11
00
00
00
11
10
11
10
00
00
10
01
00
00
10
00
10
10
10
01
00
01
10
00
11
00
10
10
11
10
10
10
00
01
01
00
10
10
10
01
00
00
10
00
00
00
11
10
00
11
00
10
01
11
01
01
11
11
10
00
11
10
00
10
11
00
00
10
00
00
00
00
11
01
00
11
11
10
00
01
00
00
10
10
00
10
10
11
00
01
10
01
00
11
10
00
00
11
11
01
10
00
10
10
00
10
11
00
11
01
01
10
00
00
00
10
11
10
10
10
10
00
10
10
00
10
00
10
00
00
10
01
01
00
01
10
10
10
00
10
11
00
01
10
10
01
10
11
00
11
11
00
00
11
10
00
01
10
01
10
10
00
00
11
11
11
00
11
10
10
00
00
10
10
00
00
11
00
01
11
01
10
10
00
00
00
10
10
10
11
00
01
10
10
01
00
11
10
10
00
10
01
01
10
11
00
00
11
00
00
01
10
10
00
10
00
00
10
01
10
11
00
00
10
01
00
10
10
00
00
10
10
11
10
00
11
11
11
00
01
11
01
00
01
01
10
10
00
00
11
00
00
00
10
00
00
11
00
10
00
00
00
01
10
00
10
00
10
10
11
01
11
11
00
01
00
10
00
01
10
11
11
01
11
11
00
11
10
10
00
00
11
11
11
00
11
10
00
00
10
00
01
11
00
00
10
10
11
11
01
11
00
10
10
10
00
00
10
10
10
11
00
00
11
11
00
01
10
11
10
01
00
10
11
00
01
10
01
00
10
10
00
01
11
11
00
00
11
00
00
11
00
00
11
10
11
00
10
10
00
01
10
01
01
11
00
01
00
10
10
01
00
10
10
00
00
10
10
00
11
11
00
00
10
00
00
11
01
10
10
00
10
00
00
00
10
10
10
01
01
00
10
00
11
10
10
10
11
01
10
00
01
00
10
00
00
00
00
10
10
00
11
00
10
01
10
01
11
00
10
00
00
11
11
10
10
01
10
10
10
01
00
01
10
10
10
00
01
00
01
10
10
00
01
11
00
00
10
11
01
00
00
00
10
10
10
00
11
10
10
11
10
11
10
10
11
01
00
11
00
01
10
00
00
10
01
01
11
10
10
00
10
11
00
00
10
00
00
11
10
10
00
00
00
00
00
00
01
11
11
11
01
01
11
01
11
10
00
00
10
10
10
01
01
10
00
11
10
00
01
10
10
00
00
01
10
00
01
10
10
11
01
10
11
01
00
10
00
00
11
11
00
01
11
10
11
00
00
10
10
00
10
10
01
10
00
10
01
01
10
10
11
00
00
00
00
10
10
00
00
01
00
11
10
11
10
10
11
00
00
00
00
11
00
00
10
01
01
10
10
00
00
10
10
00
10
10
01
10
11
11
10
00
11
00
01
01
11
10
00
01
11
11
00
01
11
10
10
00
10
10
11
00
10
11
10
01
00
00
10
00
00
00
01
10
11
01
00
01
00
01
01
11
01
00
11
00
10
10
11
00
00
10
11
01
00
10
01
10
10
00
10
11
00
00
00
11
10
11
11
01
11
10
00
01
11
10
10
10
00
00
11
10
11
10
01
10
01
11
00
00
00
01
00
01
11
10
01
10
10
01
01
10
00
00
11
00
11
10
00
01
10
00
00
00
00
00
11
11
11
11
10
11
01
01
01
01
11
00
00
11
11
01
00
00
10
01
11
10
10
00
00
00
00
11
10
00
00
01
00
00
00
00
10
11
10
10
01
11
10
00
11
10
01
10
01
01
10
00
00
11
00
00
10
10
00
00
10
00
01
10
01
11
00
10
00
10
10
00
00
10
10
10
00
11
11
11
10
01
01
10
11
10
00
10
01
00
10
10
00
00
00
11
00
10
11
01
10
01
00
10
00
11
10
01
11
10
10
00
00
10
00
01
11
10
11
10
00
11
00
11
00
10
00
10
11
10
11
10
10
01
00
11
01
10
00
10
00
11
11
10
10
01
00
10
00
00
11
00
01
10
11
10
00
11
01
11
10
10
01
11
11
01
00
11
01
00
01
10
10
01
00
10
11
11
00
11
00
00
00
10
10
10
01
00
00
10
00
00
10
10
01
00
11
10
01
00
10
00
10
00
00
01
10
10
00
10
01
11
11
10
00
00
11
11
01
00
10
10
11
01
01
00
11
10
10
11
10
10
00
00
11
11
00
00
01
10
00
00
00
11
00
10
10
01
01
10
00
00
01
10
10
00
10
10
00
00
10
11
10
11
00
01
00
10
10
10
01
00
11
10
10
00
11
00
10
01
00
00
00
00
11
10
10
11
00
01
11
00
00
01
00
00
00
10
00
01
11
00
10
00
10
01
10
10
00
01
11
11
11
00
10
10
11
10
00
00
10
10
00
00
00
00
10
01
10
11
11
00
11
11
11
00
00
10
00
10
00
10
10
10
01
01
01
00
00
01
11
10
00
01
01
10
11
10
10
11
11
10
11
10
00
00
10
10
01
11
10
00
00
00
10
00
00
10
11
00
10
10
00
00
00
10
01
11
11
01
10
00
10
00
00
10
10
00
00
01
10
00
01
00
00
10
10
10
11
11
01
10
00
00
10
00
00
01
10
01
10
00
10
11
10
00
00
00
10
11
11
00
00
10
10
11
01
10
10
11
10
10
00
01
10
01
10
00
10
10
01
10
11
00
00
00
11
00
11
00
00
00
10
00
00
10
11
10
10
01
01
01
10
11
00
01
10
00
00
00
00
00
10
10
11
00
01
00
10
00
00
00
10
01
11
11
00
10
00
00
11
01
01
10
00
11
11
11
00
11
11
11
10
00
10
10
10
00
01
00
10
10
00
00
00
00
10
10
00
01
00
00
11
11
01
10
10
00
00
01
00
10
01
00
10
00
11
10
10
11
10
00
00
11
00
00
10
10
00
10
10
00
01
00
11
10
10
10
10
11
10
01
01
01
01
11
00
00
10
01
01
10
11
01
11
11
10
00
00
00
10
00
00
10
01
00
11
01
10
10
00
10
11
10
01
00
00
00
00
11
00
10
10
10
11
01
11
00
10
11
00
00
10
10
00
10
11
01
10
10
11
00
00
00
11
11
10
10
10
10
11
10
00
00
11
00
01
10
10
10
01
10
11
10
10
00
10
11
01
01
01
00
11
00
11
00
01
10
11
00
00
00
11
00
00
00
10
10
00
00
00
11
10
01
10
10
01
00
00
10
00
00
10
10
00
00
01
11
00
10
01
10
11
10
01
01
00
10
10
11
00
01
10
01
00
10
10
00
10
10
10
10
11
00
11
11
10
11
10
00
10
10
10
10
01
11
00
00
11
00
10
01
10
11
00
00
00
00
10
00
00
00
10
01
00
10
11
11
01
10
11
01
11
01
11
10
00
10
00
01
10
10
11
11
00
10
00
00
00
10
11
00
01
10
11
01
10
01
00
11
10
01
00
10
10
01
11
01
01
10
10
00
10
11
00
10
00
00
00
10
01
01
10
00
10
11
10
00
11
10
01
00
01
11
00
10
00
10
00
00
00
00
00
00
10
11
00
01
10
01
00
10
10
00
00
11
00
00
11
00
10
10
10
01
11
10
00
01
10
11
00
00
10
01
10
10
10
00
10
00
10
00
10
11
01
10
10
10
10
00
00
10
10
00
10
01
00
10
10
10
00
00
00
00
10
00
01
00
11
10
01
01
00
10
10
10
11
01
00
01
00
11
00
00
00
10
11
10
00
10
01
00
01
11
11
10
11
00
01
11
11
10
01
01
10
00
01
00
11
01
01
11
10
10
10
10
01
11
10
11
01
10
00
00
00
01
00
10
10
11
11
00
11
00
01
10
10
10
01
00
10
10
01
00
00
11
11
10
01
01
10
10
10
00
10
10
00
10
11
00
10
10
00
11
10
10
10
00
00
00
11
01
00
10
10
00
01
10
00
00
00
10
10
11
10
00
10
00
10
01
00
10
00
00
10
00
11
10
01
00
00
10
10
00
00
01
11
00
01
00
00
11
10
00
01
10
10
10
01
00
01
00
11
10
00
11
10
10
00
11
01
01
10
01
01
11
10
01
11
01
00
11
01
10
10
00
11
11
00
10
10
00
01
10
00
11
01
00
01
10
10
10
01
10
10
00
00
00
10
00
00
10
10
00
01
11
01
01
00
10
10
10
01
00
11
10
01
00
11
00
00
10
11
10
01
01
10
11
10
01
01
11
11
01
10
00
00
00
10
11
10
00
10
11
00
00
01
01
01
11
00
00
00
00
00
10
10
01
10
00
00
10
10
11
10
11
00
00
00
10
01
01
00
10
10
10
00
00
01
00
01
10
11
00
10
01
00
10
10
11
00
11
10
10
00
10
11
00
10
10
01
10
10
00
10
11
01
00
10
10
00
10
01
01
01
00
11
01
01
00
01
00
00
00
10
10
00
00
10
00
00
11
00
10
10
00
01
00
10
00
00
10
01
10
10
01
00
10
00
11
01
10
11
01
11
11
10
00
01
10
11
10
00
00
01
10
10
11
10
11
00
01
01
00
00
10
10
00
10
11
10
00
10
01
00
00
10
00
01
10
11
11
10
00
10
10
00
00
10
10
00
00
11
01
11
10
10
00
01
10
11
00
01
10
11
10
11
00
10
10
11
00
10
00
01
10
11
00
01
00
01
10
01
10
10
00
00
00
00
10
10
00
10
01
10
00
00
00
00
10
00
11
11
11
10
10
00
00
10
11
10
01
10
10
01
00
00
10
10
00
10
10
00
10
00
00
00
01
10
00
00
11
01
00
10
10
01
11
00
00
00
00
00
10
10
10
00
00
00
10
10
01
10
10
01
10
01
00
10
00
00
00
11
11
00
11
11
00
10
11
11
01
11
10
01
11
00
01
11
11
00
01
00
10
11
11
00
00
11
10
01
10
10
10
01
10
00
00
11
00
00
10
00
00
10
10
00
10
01
10
10
00
00
10
00
00
00
00
10
10
00
00
11
10
11
11
10
10
00
01
10
10
00
11
10
10
01
00
00
10
00
10
10
10
11
11
11
00
01
00
00
01
00
10
11
10
10
00
01
10
00
00
10
00
11
10
10
10
00
01
00
10
01
11
00
10
10
00
00
10
00
01
10
11
10
00
10
00
10
11
10
01
11
00
00
00
00
01
01
10
11
10
00
01
01
00
01
00
10
11
10
11
10
00
01
10
10
01
01
10
11
01
10
11
10
11
10
10
00
00
10
10
10
01
10
01
00
00
10
10
00
10
10
00
10
00
10
11
00
10
00
01
00
00
10
00
01
01
00
11
00
00
11
01
01
10
00
10
00
10
01
00
11
10
00
00
11
01
10
11
01
00
10
10
01
10
00
00
10
01
01
01
00
00
10
01
01
11
10
00
00
10
01
10
01
10
10
00
00
10
10
01
00
01
11
10
11
00
00
10
01
00
11
10
00
00
10
11
10
01
01
00
01
01
00
00
00
10
10
00
01
10
10
01
00
10
11
10
10
00
00
01
00
00
11
00
00
01
10
10
10
00
00
01
10
11
00
00
00
11
00
00
00
11
10
10
00
01
00
01
01
11
11
10
00
10
10
10
00
01
11
00
00
10
10
01
10
11
11
01
10
00
10
00
00
00
00
10
00
01
11
11
10
10
01
00
00
11
00
00
00
10
10
00
01
10
10
00
00
01
00
00
11
11
10
11
00
00
11
10
10
10
00
01
10
01
10
00
01
00
00
00
00
11
11
00
10
10
10
11
10
00
10
10
01
11
00
00
00
00
00
11
11
00
01
11
10
00
10
00
10
10
00
10
10
11
11
10
00
01
10
00
00
10
10
00
10
10
10
00
11
10
10
00
01
00
10
10
01
11
10
00
10
10
10
10
10
00
00
00
01
00
10
01
01
10
11
10
11
10
00
10
00
10
11
00
11
10
11
00
00
10
00
01
10
00
00
00
00
10
10
00
01
11
00
00
10
00
11
10
10
10
00
10
11
10
00
00
10
00
10
11
00
10
00
11
11
10
11
10
10
01
10
11
00
01
11
01
00
11
00
00
10
10
11
00
00
10
00
10
10
10
00
10
11
10
00
00
10
10
11
00
01
10
00
00
00
11
10
10
11
10
00
10
00
00
10
11
00
00
00
00
11
00
00
10
01
10
10
10
10
11
10
10
00
00
00
00
01
00
10
00
11
10
00
00
10
10
01
00
00
10
10
10
01
01
11
00
00
11
10
10
00
00
00
01
00
10
10
10
01
00
11
11
11
01
10
11
11
00
01
10
10
11
10
00
00
10
11
00
01
11
00
11
00
01
00
10
10
11
10
01
00
10
10
01
00
01
00
11
00
10
10
11
00
00
10
10
00
00
01
10
01
00
10
00
01
11
10
11
00
10
11
01
11
00
11
10
10
01
10
10
00
00
01
01
00
00
00
01
00
01
11
10
01
00
01
00
10
00
00
00
11
10
00
01
10
01
11
10
11
11
11
00
11
11
00
11
00
01
10
10
01
00
01
10
10
01
00
01
10
10
00
00
01
10
00
01
10
10
11
10
10
11
01
01
11
10
01
01
00
11
00
01
11
10
01
00
11
00
00
10
10
00
10
00
00
10
00
11
10
00
11
10
00
01
01
10
10
10
01
10
10
00
00
00
11
10
00
10
00
10
10
00
00
00
10
10
10
01
11
10
01
00
00
10
00
00
10
10
00
00
11
10
10
11
00
01
01
01
00
00
11
10
00
00
00
10
10
11
11
00
10
10
10
11
00
00
00
11
10
10
10
00
01
10
11
10
00
01
11
01
11
10
01
01
10
10
00
01
10
10
00
10
00
01
00
00
00
00
00
01
10
00
10
01
00
00
11
11
10
01
01
10
01
01
11
10
11
00
00
01
01
11
10
11
10
00
00
10
10
11
10
01
10
01
01
00
00
10
00
10
00
00
11
11
00
10
01
11
10
01
11
00
00
00
00
00
00
10
10
11
00
00
00
00
01
00
00
00
11
00
01
00
11
10
11
11
11
10
01
11
10
10
01
01
10
01
00
10
10
10
10
00
10
01
10
01
01
10
10
00
01
10
00
00
11
10
01
10
10
01
01
00
01
10
10
00
10
10
01
01
10
01
00
10
00
01
00
01
10
10
01
00
11
01
01
10
11
01
11
11
10
10
01
00
00
11
10
00
01
00
10
11
00
10
00
11
11
10
10
00
10
10
10
00
01
11
10
11
10
00
11
00
00
00
00
10
10
11
10
00
00
00
10
10
10
10
10
10
00
01
01
01
00
00
11
00
01
10
10
01
00
00
10
10
01
11
01
11
10
01
01
00
00
11
10
10
00
00
11
11
10
10
11
10
00
10
00
00
10
10
10
11
10
10
10
00
01
10
10
10
00
00
00
10
10
01
11
01
00
00
01
11
10
01
01
10
01
11
11
10
00
00
11
00
01
11
10
00
10
00
01
10
11
10
11
01
11
11
10
11
10
00
00
10
00
10
01
01
11
10
10
10
10
00
00
10
10
01
00
01
11
00
10
10
10
01
00
10
00
00
10
00
00
01
10
11
00
01
01
11
11
11
00
00
01
10
00
10
10
01
01
11
11
01
00
10
10
00
01
00
10
10
01
01
01
01
10
01
00
11
00
10
00
00
00
10
10
01
10
10
11
10
10
10
00
00
10
11
01
01
10
10
10
00
10
10
11
01
00
00
00
01
01
10
10
11
00
10
01
00
11
10
01
10
10
00
00
01
10
11
00
01
10
10
10
00
00
10
10
10
00
00
10
10
11
01
11
01
11
01
00
01
00
00
10
10
10
00
11
11
10
01
10
00
01
11
11
00
00
10
10
10
01
00
11
00
11
00
10
00
10
10
00
11
10
11
00
11
11
01
00
01
10
10
10
01
10
00
00
11
10
01
10
10
01
10
11
01
10
10
00
01
10
10
00
01
00
10
01
11
01
00
00
10
11
00
00
11
01
00
01
10
00
10
11
00
00
00
00
00
10
10
00
00
01
10
10
00
11
10
11
00
00
10
10
00
10
00
11
00
00
10
01
10
10
10
11
11
11
00
00
11
10
00
01
00
10
01
10
10
00
00
10
11
00
01
00
10
10
10
01
11
11
00
00
10
00
01
10
11
00
00
10
00
10
11
11
00
01
10
00
01
01
00
11
10
00
01
00
10
10
10
01
01
00
10
10
01
00
00
10
00
10
00
10
11
10
10
10
00
00
01
00
01
01
10
00
00
10
10
00
00
11
00
00
01
01
11
00
10
10
10
10
01
00
11
01
11
00
10
10
00
01
00
10
10
10
00
00
00
11
01
10
01
10
10
10
11
01
00
10
10
00
00
01
00
10
01
10
00
00
10
00
01
01
10
11
00
00
00
01
10
11
10
10
01
00
01
11
01
00
00
10
10
11
11
10
11
10
10
01
10
10
01
11
11
11
10
01
10
00
10
11
00
10
11
00
10
00
11
00
01
01
11
00
00
10
11
00
00
00
10
10
00
01
00
11
01
11
11
10
10
11
00
00
10
10
00
00
00
01
01
10
00
11
00
10
00
10
00
01
10
01
01
01
01
10
11
00
00
11
10
10
00
01
10
10
00
10
00
11
10
01
10
10
10
10
11
00
01
00
01
10
00
10
10
01
00
10
11
10
10
10
11
00
10
00
00
01
01
00
11
10
11
10
00
00
10
10
10
10
00
01
00
00
10
00
00
00
10
10
00
00
11
11
10
00
01
10
10
10
00
10
11
00
11
10
00
10
10
00
01
01
11
00
01
00
00
11
00
10
00
00
00
01
10
10
00
01
10
01
00
10
10
11
00
00
00
11
01
00
00
11
01
01
00
00
10
10
10
10
00
00
00
10
10
10
10
11
00
01
00
01
10
00
00
11
10
00
11
10
00
00
11
10
01
11
00
01
10
00
10
00
10
10
11
01
10
10
10
00
00
01
01
01
10
10
01
11
01
10
01
00
00
01
10
10
00
01
10
11
00
01
01
10
00
00
01
10
11
10
11
01
10
10
00
10
11
11
00
00
01
10
11
01
00
10
11
00
00
00
11
11
11
01
01
10
10
00
01
01
11
10
11
11
01
00
10
01
01
10
10
00
01
10
10
00
11
01
10
00
00
10
10
10
00
10
10
10
10
00
01
10
10
10
10
10
11
10
00
10
10
10
00
10
10
00
01
10
01
01
10
10
00
10
10
11
00
10
10
00
10
01
11
00
10
10
00
00
11
11
10
00
00
10
00
10
00
01
11
01
10
01
00
11
00
00
00
10
10
01
01
10
00
00
00
11
10
01
10
00
01
10
00
10
10
10
10
00
00
11
10
00
01
00
00
11
00
01
10
10
10
01
01
01
10
10
00
01
01
10
10
11
01
00
00
01
10
10
01
00
01
10
01
10
01
00
11
10
00
10
10
11
10
00
00
11
00
00
10
10
01
00
01
10
11
00
00
10
01
01
11
01
10
10
00
00
10
11
00
10
10
00
01
01
10
10
01
10
00
00
00
10
10
11
11
10
01
01
00
01
11
00
11
10
01
00
10
00
10
11
00
10
10
10
10
10
01
00
00
10
11
01
00
00
10
10
11
01
01
11
10
00
00
01
01
10
11
00
10
10
00
10
10
01
01
11
10
00
10
01
01
00
10
10
10
01
01
00
01
10
00
10
10
10
00
01
10
00
10
00
00
00
11
10
00
10
00
00
10
00
10
10
11
01
01
10
10
00
01
11
00
01
11
00
01
00
10
10
10
00
00
11
11
10
01
10
11
00
01
00
01
00
11
10
00
00
10
10
00
10
10
10
01
11
00
01
10
01
10
10
00
11
01
01
00
10
00
01
11
11
10
00
10
10
10
10
11
00
00
00
10
10
10
00
00
11
10
10
10
00
00
10
00
00
00
00
10
00
01
11
00
00
11
11
01
00
11
10
01
00
10
10
00
00
00
00
10
10
01
10
11
01
10
00
00
10
00
00
10
00
00
10
10
11
00
00
10
10
10
11
10
01
10
00
00
10
00
11
10
00
00
01
10
00
10
10
10
10
01
10
10
00
10
00
10
10
01
00
10
01
10
11
00
00
10
00
10
10
01
00
10
00
00
00
10
00
00
10
10
11
00
11
10
10
11
00
01
10
00
01
11
10
10
10
11
00
01
01
10
00
10
11
11
11
01
10
10
10
00
00
00
10
10
00
01
00
10
01
11
10
10
10
00
00
00
10
10
11
00
00
10
10
10
10
00
01
10
01
00
11
00
01
00
10
00
01
00
10
00
10
10
01
11
00
00
10
10
00
10
01
10
11
00
11
10
10
11
01
00
00
01
10
00
00
10
11
00
00
00
10
00
00
00
11
10
11
10
00
00
11
10
11
10
00
00
00
11
00
00
00
00
11
00
00
00
01
10
00
00
01
10
10
11
01
00
01
11
11
11
00
01
01
11
00
00
10
00
01
10
01
11
10
10
01
11
11
11
01
01
00
01
10
10
01
01
11
10
10
00
00
11
10
00
00
00
00
01
10
11
11
01
10
11
01
00
01
10
01
10
11
00
10
00
00
00
10
10
00
10
11
11
11
01
11
00
11
00
10
11
00
10
00
00
00
10
10
11
00
00
11
00
10
10
00
10
01
10
00
00
00
00
00
11
00
00
10
10
11
10
01
00
10
11
11
11
00
01
11
11
11
00
10
10
00
01
10
10
11
10
10
00
00
01
10
10
10
00
00
00
01
11
00
10
10
01
10
11
10
00
00
00
11
00
00
11
11
01
10
00
00
11
00
10
10
00
00
10
11
10
00
11
01
10
11
01
01
11
00
01
10
11
10
10
00
00
10
11
11
00
00
00
00
00
00
11
00
10
10
10
10
01
01
00
11
00
01
10
01
00
11
11
01
10
11
11
01
01
11
11
00
00
00
11
10
00
00
11
00
00
11
00
11
11
00
10
01
10
10
00
00
11
11
00
00
10
00
10
10
01
00
10
10
00
00
01
10
11
00
01
00
11
10
10
11
00
00
11
11
00
01
11
01
01
11
11
10
11
00
11
00
00
11
00
00
00
01
10
00
10
10
10
11
00
11
11
10
01
11
01
11
00
00
11
00
01
10
10
00
00
11
10
01
01
01
10
01
11
00
11
10
10
00
01
01
11
01
00
10
10
01
01
10
11
00
00
10
11
10
00
10
10
01
00
00
00
00
11
00
01
10
01
00
00
10
00
00
10
01
00
10
01
00
01
11
00
10
00
00
11
00
00
00
10
00
01
11
00
00
11
11
10
10
11
10
00
10
11
11
10
00
00
11
01
00
10
10
00
01
11
10
11
00
00
00
00
10
10
10
00
01
10
10
11
11
10
01
10
00
10
11
00
10
01
00
10
11
10
01
11
11
00
01
01
10
10
00
00
11
10
01
00
01
11
00
10
00
10
11
01
00
00
00
10
10
10
01
01
00
11
10
00
10
00
00
10
10
00
00
10
00
10
10
01
11
10
11
00
11
01
10
10
01
10
10
01
00
10
10
01
00
01
11
00
10
11
11
10
10
01
00
00
10
11
00
11
00
01
01
11
11
00
01
10
01
01
10
10
00
00
00
10
10
10
00
01
10
11
00
00
10
00
00
10
10
00
11
10
00
00
10
10
01
10
11
01
10
11
00
00
01
00
10
10
11
00
11
00
00
10
00
10
00
00
10
01
10
11
01
00
01
10
00
01
10
11
00
01
10
11
01
00
10
11
10
00
00
10
11
10
10
00
00
01
00
11
10
10
00
10
10
00
10
10
00
00
10
11
01
00
10
00
10
10
10
01
00
00
10
10
01
01
10
00
11
10
10
00
00
10
00
10
11
00
10
00
10
00
10
11
01
00
00
01
00
10
10
10
00
00
00
00
10
10
11
00
01
00
10
11
10
11
10
10
00
00
00
10
00
00
10
10
10
10
10
10
00
10
11
00
11
01
00
10
00
01
01
11
10
00
11
10
11
10
10
00
00
11
10
00
00
00
10
10
11
01
00
01
11
11
11
01
01
11
10
10
00
00
10
11
00
00
11
10
10
01
00
10
00
11
00
00
00
11
11
00
01
10
11
11
00
00
10
11
10
00
00
10
10
00
11
01
00
00
11
10
00
11
10
11
00
00
10
10
00
00
10
00
00
10
00
10
00
00
00
00
11
10
11
11
11
11
10
10
10
01
01
10
10
10
11
00
01
00
01
00
00
10
11
10
00
00
10
11
00
00
10
10
10
01
10
11
00
00
10
01
11
01
00
11
10
10
10
01
10
11
11
00
10
00
10
10
01
00
00
01
11
00
00
01
10
00
00
10
10
10
01
10
00
10
10
01
10
10
00
01
00
11
00
01
00
10
10
00
10
10
10
01
00
01
10
00
00
00
11
00
10
10
11
10
10
10
00
00
00
01
00
10
10
10
01
00
00
10
00
10
11
01
10
11
00
10
10
00
00
10
10
00
01
11
10
10
11
10
10
10
01
00
11
01
10
00
11
10
01
00
10
10
01
01
00
10
11
10
00
00
10
11
11
01
11
00
10
00
00
11
00
00
10
11
00
01
00
10
00
01
01
00
11
10
11
10
10
10
10
00
01
11
10
01
01
00
10
11
00
10
10
01
00
11
11
00
10
11
10
11
11
00
00
11
10
11
10
11
10
00
10
10
00
10
11
00
01
11
10
00
10
00
00
10
10
00
01
01
10
10
00
00
00
10
00
00
11
00
10
10
01
00
01
10
00
00
10
00
10
10
11
10
00
11
01
00
00
00
10
00
01
10
00
10
00
10
00
01
10
00
00
01
00
01
01
11
00
10
01
10
00
00
10
10
00
00
00
10
00
10
10
11
00
10
01
00
01
01
10
11
01
10
10
10
00
10
11
00
01
00
10
10
10
11
00
00
10
10
01
00
00
10
10
10
00
00
00
00
00
00
10
10
00
01
01
10
10
01
00
10
01
10
00
10
01
11
10
00
01
11
11
01
10
11
10
00
10
10
00
01
01
11
10
00
10
10
11
11
01
01
11
10
00
00
10
11
00
00
10
00
00
10
01
10
10
01
01
00
00
00
11
00
00
11
00
01
10
01
00
01
00
00
10
11
10
10
11
10
10
00
00
01
11
01
11
00
00
00
01
10
01
00
11
10
11
00
01
00
11
00
00
11
01
01
11
00
00
10
00
01
00
11
10
11
00
01
11
01
11
10
01
10
00
00
01
10
10
00
01
11
10
11
01
10
10
00
00
00
11
10
10
10
10
11
00
10
00
00
00
00
01
11
00
00
00
10
10
11
01
01
00
00
10
10
01
11
01
00
01
10
10
10
10
10
00
00
01
10
10
10
11
00
00
10
11
00
00
01
10
11
01
01
10
10
00
01
10
10
01
01
11
01
01
11
10
10
11
10
11
01
00
01
01
00
10
00
10
00
01
10
10
00
10
01
00
10
00
10
11
00
01
10
10
01
00
11
00
10
00
00
10
00
10
10
11
10
10
00
00
00
00
11
10
00
10
10
00
00
00
00
11
10
10
10
01
01
10
01
10
10
00
11
10
10
00
00
01
10
10
00
00
11
10
10
00
00
00
00
11
11
11
00
00
00
10
00
00
11
00
10
10
10
10
00
00
10
11
10
10
00
10
00
00
00
01
10
00
00
00
01
10
11
10
10
10
01
11
00
00
10
10
00
10
10
00
00
00
01
10
10
10
00
10
11
10
11
10
10
11
00
00
00
10
10
01
01
10
00
11
01
00
00
10
00
01
00
11
11
00
00
00
10
01
01
00
01
10
11
00
00
01
10
00
00
00
10
11
10
01
10
10
01
10
11
10
00
00
10
00
10
11
00
00
01
00
10
10
00
00
01
10
10
00
11
11
11
10
11
10
01
00
00
00
01
00
10
10
01
10
11
01
00
10
11
00
00
10
00
01
10
11
10
00
10
01
10
00
10
10
10
10
10
10
11
11
01
00
10
01
10
00
01
00
11
01
11
10
00
00
00
10
10
00
00
11
11
11
11
11
10
10
00
10
10
01
01
10
10
01
01
01
01
10
10
00
11
10
10
00
00
01
00
00
11
01
01
01
00
01
11
10
01
01
10
10
00
00
10
10
10
10
01
11
01
01
10
10
01
00
11
11
00
00
11
11
10
11
11
10
00
00
10
10
00
00
01
00
10
10
10
01
11
01
11
11
11
00
10
00
10
10
10
00
00
00
10
01
01
00
00
01
11
10
00
10
00
00
10
00
11
11
10
01
00
00
11
00
01
00
00
10
00
01
10
10
01
01
01
00
10
00
10
01
11
01
10
10
00
11
10
00
10
10
00
00
00
10
10
00
01
00
00
10
10
00
00
01
10
10
00
00
01
10
00
10
10
01
10
10
00
10
01
10
10
00
00
11
01
00
11
10
00
10
00
00
00
10
00
01
10
10
10
10
10
00
10
10
00
00
10
00
00
11
00
01
11
01
10
00
01
11
10
01
01
11
10
10
10
10
11
11
10
00
01
01
11
01
01
11
01
10
00
01
00
10
00
00
10
10
10
10
11
10
10
11
10
00
10
10
11
00
01
00
10
11
00
00
10
11
10
00
11
10
00
01
11
00
00
00
10
01
10
11
01
00
10
11
00
10
00
00
10
01
11
01
11
11
11
10
10
01
01
11
00
01
10
10
11
01
11
10
11
00
11
10
00
00
00
11
01
10
10
10
10
00
10
10
01
00
10
10
00
01
01
11
11
11
00
01
00
10
01
01
00
10
10
00
10
00
00
10
11
00
10
01
10
00
10
01
10
10
01
00
01
00
00
10
11
00
01
00
10
00
00
10
00
00
00
10
10
00
10
00
10
00
10
00
10
10
10
10
01
01
00
01
10
10
10
10
00
10
01
01
01
11
10
10
10
00
10
10
00
00
00
00
11
00
01
01
10
10
10
10
00
00
10
10
00
00
00
00
10
00
10
10
00
10
01
00
00
00
10
11
10
11
11
10
00
00
11
10
10
00
01
01
11
11
00
01
10
01
11
10
00
01
00
01
00
00
00
00
10
10
00
10
00
00
00
10
00
01
10
10
10
00
01
00
10
01
10
00
01
00
00
10
11
01
01
01
10
11
10
10
00
00
00
11
00
11
11
10
11
01
10
01
10
00
01
10
10
00
10
10
11
00
00
01
01
10
01
00
10
10
10
00
10
10
00
10
00
00
00
10
10
10
01
00
11
11
00
11
00
00
00
00
10
10
10
00
10
00
00
10
11
10
00
10
11
01
00
10
00
11
01
00
00
11
10
00
10
10
10
01
11
10
10
01
00
00
01
11
10
11
11
01
00
11
01
00
11
11
11
00
10
10
11
10
00
10
00
00
00
10
01
00
10
00
00
11
11
01
00
01
01
00
00
10
01
10
00
00
10
01
00
01
10
00
10
11
00
10
11
11
00
11
10
00
10
00
11
10
00
00
10
11
11
00
00
00
00
01
10
11
10
10
00
10
00
00
10
10
00
11
00
00
00
00
11
10
00
00
01
00
11
00
10
10
10
10
10
00
00
00
01
01
01
00
01
01
00
01
00
10
11
01
10
11
11
01
11
10
00
00
11
11
01
00
10
10
00
00
00
11
00
00
11
01
11
11
11
00
00
10
00
00
00
11
10
00
10
00
00
11
11
01
10
01
01
00
01
00
10
11
00
00
11
00
00
01
10
10
10
10
10
11
00
01
00
10
00
01
10
10
10
00
00
00
10
10
00
00
00
00
01
00
10
00
00
10
10
00
10
11
01
00
00
11
10
01
10
00
00
00
10
10
10
00
01
11
01
11
00
10
01
11
00
01
10
01
01
11
00
01
10
10
00
00
10
11
00
00
10
10
10
11
01
11
10
11
10
10
10
01
11
10
00
00
10
10
11
01
10
01
10
01
00
10
10
00
00
11
11
00
10
11
00
10
10
10
00
01
00
10
01
01
10
01
01
11
01
00
00
00
11
10
11
00
01
10
10
00
00
01
11
00
00
01
10
00
01
00
11
01
10
10
01
00
10
10
00
00
11
01
10
00
01
10
11
00
00
10
10
11
00
10
01
10
01
01
00
10
00
00
11
10
00
00
11
10
00
11
11
11
10
11
01
10
01
10
10
00
10
01
00
10
11
11
10
01
10
00
10
11
00
00
00
10
11
00
11
00
10
00
11
00
10
00
00
10
10
11
00
00
00
10
11
00
00
11
01
00
10
00
11
00
00
10
01
01
00
00
01
00
11
01
10
11
00
00
10
10
00
10
10
00
11
11
00
10
00
10
01
01
00
11
10
10
11
00
10
00
10
10
01
01
01
01
10
00
00
01
10
10
00
01
10
10
10
10
10
01
11
10
01
10
10
01
00
01
00
11
10
10
00
01
00
00
10
00
10
10
00
00
10
10
10
01
10
10
10
10
11
00
10
11
00
11
00
10
10
01
10
11
11
00
10
00
10
10
10
01
00
11
00
10
00
01
00
10
01
00
10
01
00
11
11
00
00
00
10
10
10
00
01
00
10
10
10
11
01
00
00
10
00
00
10
10
01
00
11
01
01
10
11
01
00
00
10
00
00
11
10
00
10
10
00
10
00
10
00
00
00
11
00
11
01
00
01
10
11
00
00
10
10
11
00
00
10
10
11
00
01
10
11
11
00
01
10
00
00
11
10
01
00
11
11
10
00
00
00
10
00
01
11
11
10
10
11
01
10
11
00
00
10
10
11
00
11
11
10
00
10
10
10
01
10
10
01
01
11
10
10
00
00
11
10
10
01
00
01
10
00
00
00
00
01
00
10
00
10
01
00
11
11
10
00
00
11
10
10
00
11
00
00
00
10
10
10
01
00
10
01
11
10
11
00
00
10
11
00
01
01
11
10
11
10
10
00
00
00
10
10
10
11
00
10
00
11
00
11
00
10
11
00
00
00
00
11
10
01
11
10
01
10
00
10
10
10
00
10
00
10
10
11
10
00
11
10
10
00
00
01
10
00
00
00
10
11
11
10
01
01
10
00
00
10
10
00
00
10
01
01
11
10
10
10
01
10
00
01
10
01
10
10
11
11
01
00
00
10
10
10
00
00
10
10
00
00
00
10
01
10
10
00
00
00
10
10
01
00
00
11
00
10
00
00
10
11
10
11
01
01
10
10
00
10
00
00
00
10
00
00
10
11
00
00
01
00
10
11
11
00
01
00
01
00
10
11
10
10
00
00
00
01
10
10
00
01
00
00
10
01
00
00
11
10
10
11
11
00
01
00
10
10
01
01
01
11
01
10
10
00
00
00
11
10
01
10
10
10
00
00
01
01
11
10
01
10
00
00
10
10
01
01
11
01
00
10
01
01
10
01
01
10
10
00
01
00
10
10
10
10
00
10
00
01
00
00
11
00
11
00
01
10
01
11
00
00
00
10
10
00
01
00
00
10
00
00
01
00
10
10
00
11
10
11
10
10
00
00
00
10
10
01
00
10
11
00
00
10
10
10
00
10
00
01
00
00
00
00
11
11
01
10
01
00
00
00
11
10
00
01
01
01
10
10
00
00
10
10
11
10
01
10
01
00
00
01
00
00
10
11
00
01
10
11
01
10
01
01
11
11
10
00
00
10
10
00
00
11
00
00
11
00
11
10
10
00
10
10
01
00
00
00
11
11
01
00
11
11
11
10
01
00
10
10
00
00
00
10
10
00
01
01
10
00
10
10
01
00
00
10
10
00
00
01
10
11
00
00
10
00
00
00
10
10
00
01
01
00
10
00
01
00
01
10
10
00
01
00
01
10
10
11
00
00
11
11
00
00
10
10
00
00
01
10
11
00
01
00
00
01
01
00
10
10
01
10
10
01
01
10
01
11
10
11
00
00
01
10
10
01
11
11
11
10
00
01
00
00
10
10
00
01
11
11
00
10
10
10
10
11
00
01
10
01
00
01
00
10
10
00
01
11
00
01
11
00
01
10
11
10
00
01
01
10
00
01
10
01
00
10
10
10
10
00
00
10
10
00
00
10
11
00
00
00
00
01
01
10
11
10
10
10
10
10
11
10
00
00
10
10
00
11
11
00
10
00
10
10
01
10
01
10
10
01
00
11
10
10
00
10
10
10
01
11
00
11
11
00
00
00
00
00
10
11
10
00
00
00
11
10
10
00
10
10
00
10
01
11
00
11
10
10
10
00
10
10
00
10
01
00
10
00
00
00
00
10
11
10
00
11
00
10
00
01
00
11
10
01
10
00
11
10
00
11
10
00
01
01
00
00
10
10
01
00
01
00
00
11
11
11
01
00
10
10
10
00
11
10
01
11
11
00
10
00
10
10
00
10
10
00
01
10
10
10
10
00
10
10
01
00
00
00
10
01
00
10
00
10
00
00
00
10
10
10
11
00
10
11
00
01
00
10
10
10
00
10
01
00
11
10
10
10
01
01
01
00
01
00
10
10
10
10
01
11
10
01
01
10
10
00
00
10
00
00
00
11
10
10
11
00
00
01
00
10
00
00
10
00
10
10
01
10
00
00
00
01
10
11
11
00
01
00
11
11
01
00
00
00
00
01
10
10
01
10
11
01
10
10
11
00
00
10
01
10
10
10
10
10
10
10
01
10
10
10
11
11
00
10
11
01
01
01
00
10
10
01
01
01
11
10
10
00
10
10
11
11
10
01
01
00
01
10
10
10
10
00
11
11
00
01
10
00
00
10
00
10
11
00
11
01
00
00
01
10
01
01
10
10
10
00
01
00
01
00
10
00
10
11
10
10
01
00
00
10
11
00
00
11
10
10
11
00
00
10
01
01
00
00
00
11
10
00
10
11
00
11
01
10
11
01
01
00
00
10
10
11
00
00
10
11
00
10
10
11
00
01
00
01
00
10
10
00
10
11
01
01
10
00
10
11
01
01
11
10
11
01
00
11
00
01
10
10
01
10
00
01
10
11
11
00
11
10
00
00
11
11
01
01
10
01
11
10
00
00
10
10
11
00
00
00
11
00
00
00
11
01
01
10
00
10
11
01
10
00
10
11
01
01
01
00
10
11
11
10
00
10
11
10
01
10
11
00
10
00
00
11
10
10
00
11
10
00
10
10
11
00
00
10
00
00
10
00
11
11
01
11
10
00
11
10
01
00
10
10
10
10
00
00
10
10
00
10
10
00
00
11
00
01
11
10
11
10
00
00
11
11
00
00
10
10
01
11
10
00
00
10
00
01
00
00
10
00
00
00
11
10
10
00
10
01
00
10
00
10
10
10
10
01
10
11
10
01
00
00
11
10
10
00
00
10
00
11
10
10
00
00
10
10
00
00
00
00
00
00
10
01
11
10
11
10
10
11
00
00
10
11
00
11
01
10
10
00
01
00
10
01
11
10
00
10
00
00
00
00
00
00
10
01
00
11
01
11
01
11
01
10
00
00
11
10
00
00
11
01
10
10
00
10
11
01
10
10
10
11
00
01
00
11
00
00
11
00
10
01
10
10
10
01
00
01
00
10
11
00
01
01
10
10
10
00
10
00
01
10
00
01
01
10
10
00
00
10
00
00
01
10
10
11
00
10
00
10
10
11
01
10
00
11
01
00
01
10
01
11
00
10
10
00
00
00
10
11
10
01
10
11
00
00
00
00
10
10
10
10
01
01
10
00
00
01
01
00
11
10
00
11
00
01
00
10
11
00
01
10
10
11
11
10
00
00
01
00
00
10
00
00
11
10
01
11
11
11
10
01
00
11
11
10
00
01
00
01
10
11
11
01
01
10
01
01
00
11
01
00
01
10
10
00
00
10
00
00
10
10
10
00
00
10
11
10
10
00
10
11
01
01
10
10
11
11
01
01
01
10
10
00
00
11
10
01
00
01
00
10
01
11
11
10
00
10
00
00
11
00
00
00
00
01
10
11
01
00
10
11
00
10
10
00
11
10
10
00
10
01
00
10
10
00
00
10
00
00
10
00
11
10
01
01
00
11
00
10
10
01
00
11
10
10
10
00
10
10
01
11
00
01
10
00
00
00
10
11
01
00
11
11
11
01
10
00
10
10
00
00
00
00
10
10
11
00
01
10
11
10
11
00
00
10
10
00
10
11
10
11
00
10
10
00
10
00
00
10
00
00
10
10
00
00
10
10
01
01
10
01
11
00
01
11
10
10
00
00
10
11
00
10
10
00
00
10
11
00
00
10
01
10
10
10
01
10
10
10
01
00
00
10
10
10
10
00
10
01
00
11
00
10
01
01
00
01
01
10
10
01
10
00
10
00
00
11
11
01
11
10
00
00
10
11
11
00
00
00
10
10
00
11
10
11
00
11
10
10
10
00
00
00
01
10
11
00
10
01
00
11
00
01
10
00
10
00
00
11
00
01
11
11
01
11
01
10
10
11
11
00
01
10
00
00
11
11
00
01
11
00
00
11
11
00
00
10
10
10
01
10
00
01
01
10
11
11
01
01
10
10
00
11
11
00
00
00
11
11
10
11
01
00
00
00
10
10
00
01
10
01
10
11
11
01
00
10
10
00
10
11
10
00
10
10
10
00
00
01
01
01
00
11
11
10
00
10
11
00
11
10
11
00
00
10
00
00
10
10
01
10
11
10
00
10
00
01
00
00
10
11
01
11
10
01
11
10
11
00
00
11
10
00
00
10
11
10
00
00
11
11
10
00
10
00
00
00
00
00
10
10
10
10
01
11
00
10
10
11
11
00
10
01
11
10
00
10
10
10
11
01
10
10
00
10
01
00
10
00
00
10
00
10
10
10
10
01
10
00
00
10
01
11
00
00
11
00
10
11
00
10
10
00
10
11
11
00
00
10
01
10
00
00
10
00
01
00
00
11
00
00
00
00
11
00
10
10
01
00
00
10
01
00
00
00
10
00
00
00
01
10
00
10
00
11
10
11
10
00
00
00
10
10
00
00
01
11
00
10
00
11
10
11
10
00
10
01
00
10
00
00
00
01
00
01
00
01
01
11
10
11
10
01
11
10
10
10
00
01
11
11
00
00
00
01
10
01
10
11
10
00
00
11
00
10
00
01
00
10
00
01
10
10
10
10
11
11
00
00
01
00
10
00
00
10
10
10
10
10
00
10
11
11
00
01
10
00
00
10
00
10
10
00
10
10
11
00
00
11
11
01
11
11
01
10
00
00
11
11
01
00
10
10
01
11
11
00
01
10
00
00
00
10
10
11
10
01
10
01
00
10
10
10
10
01
10
11
11
01
00
10
11
00
01
00
01
11
11
00
00
00
10
11
00
00
10
00
10
00
11
10
00
00
01
10
01
01
00
00
10
10
00
11
11
00
00
00
00
00
01
01
11
00
10
10
01
00
10
10
00
00
10
00
01
00
10
11
00
00
11
00
00
10
10
10
10
00
00
10
01
10
11
10
01
10
10
00
10
10
01
11
10
10
00
01
00
00
10
00
00
01
10
10
11
10
01
00
11
10
01
01
10
01
01
00
10
11
01
11
00
11
00
01
00
00
10
11
11
10
00
00
00
11
11
10
10
00
11
10
10
00
01
10
11
00
00
00
00
01
10
01
11
00
00
00
00
00
01
10
11
00
00
10
00
11
00
10
11
00
01
10
11
00
01
00
00
11
10
11
01
11
00
10
10
00
01
10
00
00
10
11
10
01
00
00
10
10
11
00
01
10
00
01
11
10
01
10
10
00
00
00
10
11
01
00
00
10
10
00
01
10
11
01
11
10
00
10
10
10
11
00
01
01
00
00
00
01
10
10
00
01
10
00
10
10
00
00
11
10
11
00
10
00
00
01
10
01
00
11
00
00
10
10
10
01
01
10
10
00
01
00
00
01
11
10
10
00
01
11
10
01
10
10
00
00
01
10
00
00
00
00
10
11
00
10
10
01
00
01
00
00
00
11
10
01
00
10
01
10
11
10
10
10
00
00
10
00
11
00
00
11
00
11
10
00
10
00
11
10
01
11
00
01
01
01
01
10
10
00
10
00
10
10
00
01
00
01
10
11
01
10
11
01
01
10
10
01
00
01
10
00
01
00
11
01
00
10
10
10
01
00
11
00
00
01
10
00
00
00
10
00
11
10
11
00
00
11
11
00
01
01
01
01
00
10
10
10
01
00
11
10
10
00
00
01
11
01
11
10
01
00
10
00
00
10
10
00
00
10
10
10
00
11
10
00
00
10
11
10
00
01
11
10
10
11
00
10
10
00
00
01
11
10
00
11
00
00
10
10
10
00
11
00
00
01
10
00
11
00
11
00
10
10
00
10
10
10
00
10
10
10
00
11
00
00
11
00
10
00
10
10
00
00
10
01
10
10
10
00
11
11
00
11
10
01
10
00
00
11
00
10
11
00
00
11
00
00
10
11
10
10
00
11
10
00
11
11
00
01
11
00
01
01
10
00
01
11
11
00
00
10
10
10
01
01
11
00
00
10
00
10
10
00
00
00
01
00
10
10
00
01
00
00
00
10
10
11
00
10
01
01
11
00
00
10
10
11
11
00
01
00
11
11
01
00
00
11
10
01
00
00
00
10
10
10
10
00
10
00
00
00
10
00
01
10
11
01
00
10
11
10
00
10
00
01
00
10
10
11
01
00
00
10
10
00
01
00
10
01
01
00
11
00
10
00
00
11
11
01
10
11
01
00
00
10
11
00
00
01
00
01
10
00
11
10
00
01
00
11
10
01
11
00
00
00
11
00
00
01
11
10
00
10
10
10
11
11
00
10
10
00
10
00
00
10
11
10
00
00
00
10
11
00
00
00
00
01
00
00
00
10
10
01
00
00
00
10
10
11
10
01
00
11
10
00
00
01
10
10
00
00
00
11
10
10
01
00
11
01
10
01
01
00
00
00
11
10
10
10
00
10
00
01
11
11
01
01
00
11
00
10
10
00
01
11
10
01
01
00
01
10
10
00
00
01
10
00
00
10
00
10
10
10
01
10
00
00
10
11
01
11
01
10
10
00
00
10
10
01
00
10
01
00
00
11
00
00
11
11
00
00
10
11
10
00
10
10
00
00
01
00
11
00
00
10
10
00
10
00
00
11
10
01
00
10
00
01
10
11
10
10
11
00
10
00
10
10
00
00
01
11
00
01
10
10
01
00
10
10
01
11
01
01
11
10
00
11
00
10
10
00
01
10
10
00
11
11
11
11
01
10
00
11
00
00
00
10
01
01
10
10
10
10
10
11
00
10
01
11
01
10
00
00
10
10
10
11
00
00
00
00
01
00
10
00
01
10
00
00
10
10
11
10
01
10
10
01
00
11
11
11
00
00
01
10
10
00
10
10
10
10
00
00
00
10
10
00
00
10
11
00
01
00
11
00
00
01
10
00
11
11
01
10
11
11
01
00
10
00
00
11
10
11
11
01
10
10
01
10
01
10
00
01
10
10
10
01
01
10
10
00
11
01
00
00
01
10
11
10
11
10
01
10
11
00
01
10
00
00
10
01
01
01
10
00
00
00
10
10
01
01
00
10
11
01
10
11
00
00
11
11
00
10
11
10
01
01
10
10
00
10
10
10
00
01
10
00
00
00
00
10
11
00
01
10
10
01
11
01
01
00
10
01
10
10
01
00
10
00
00
00
10
11
10
00
01
10
00
01
10
01
00
01
10
10
10
00
10
01
00
10
10
00
01
01
01
10
00
10
10
10
01
11
11
11
01
00
11
11
00
01
01
10
10
10
01
00
10
10
01
00
01
00
10
10
00
10
10
00
00
00
10
01
00
01
01
11
00
10
01
00
11
10
01
00
10
11
00
00
10
10
00
00
11
00
11
10
01
11
10
00
00
11
10
00
00
10
01
01
11
00
00
01
00
10
01
10
10
10
00
10
10
11
10
00
10
01
10
01
01
10
00
00
01
10
11
00
01
01
00
10
10
00
01
00
10
10
00
10
10
11
01
10
00
01
10
11
10
00
10
00
00
11
10
10
00
00
00
00
00
10
11
00
10
00
00
01
00
10
11
11
01
10
01
00
10
10
00
11
10
11
11
10
10
00
10
01
00
00
10
10
10
00
01
11
00
00
10
10
00
11
01
01
10
11
10
10
00
01
00
11
00
00
01
11
10
00
00
10
00
10
00
00
01
11
01
00
11
10
11
00
10
10
10
01
01
11
10
00
10
11
10
01
01
10
01
00
01
00
00
10
10
01
10
00
10
10
00
01
00
00
01
10
10
00
10
10
00
10
10
11
10
00
01
00
11
01
10
00
10
10
10
01
00
11
01
10
10
01
10
11
01
00
10
01
11
11
11
00
00
00
10
10
00
10
10
01
10
00
00
10
00
00
10
11
00
00
00
10
11
00
01
10
11
01
10
10
01
00
10
01
11
01
11
00
00
00
00
11
00
10
00
10
00
01
00
01
00
01
00
11
10
01
10
10
01
10
10
00
00
00
10
00
10
00
00
00
00
10
11
10
00
10
00
01
01
01
11
10
10
10
00
01
10
10
00
00
10
00
10
00
00
01
00
11
00
11
11
01
10
10
10
01
11
00
10
10
01
01
10
11
01
11
00
00
10
11
10
00
00
10
11
00
00
00
01
01
10
01
00
00
10
00
01
00
00
11
11
10
00
10
00
01
10
01
01
10
01
00
10
11
10
10
11
11
10
01
00
01
10
00
01
01
10
10
01
01
10
01
01
10
11
00
10
10
00
00
10
10
00
00
11
01
01
01
10
10
00
00
00
10
10
00
01
10
10
00
00
10
11
00
10
00
10
00
10
10
01
10
00
00
00
00
10
10
10
00
00
11
10
00
11
00
11
00
00
11
00
01
00
10
10
10
11
01
10
10
00
11
10
10
10
00
00
00
01
10
11
11
11
11
00
10
11
01
10
10
00
01
11
00
11
10
10
01
10
00
01
10
10
10
10
11
11
10
11
11
00
00
00
10
11
00
00
00
01
10
01
01
10
00
00
00
00
00
11
00
10
10
00
10
10
00
01
00
11
11
00
01
00
11
00
01
10
11
11
00
00
00
10
00
00
11
01
10
11
01
00
10
00
10
01
11
11
01
10
10
11
01
00
10
10
00
01
11
10
00
11
01
01
00
01
10
00
00
10
00
00
10
10
10
00
10
10
00
01
00
10
11
01
10
00
10
10
11
00
10
01
10
01
10
00
01
00
10
01
01
11
11
00
01
10
10
00
10
11
10
01
10
10
11
11
10
01
00
10
10
11
10
10
00
00
01
10
01
00
11
10
10
11
11
10
01
01
11
11
01
11
01
10
01
00
00
10
10
01
00
11
11
00
10
01
10
10
10
00
11
10
10
10
00
01
10
01
01
10
00
00
01
11
01
00
10
01
01
01
01
00
11
11
01
00
01
10
10
01
00
10
10
00
00
00
11
11
00
00
10
00
00
10
11
10
01
10
00
10
01
01
10
01
00
00
00
10
10
10
10
01
10
10
00
10
00
00
00
11
00
10
10
11
10
00
11
01
01
00
00
10
00
11
10
00
00
11
10
01
01
11
10
10
01
10
10
00
00
10
01
11
00
00
10
10
01
01
10
10
11
01
00
01
10
00
10
01
00
10
10
10
01
11
01
10
10
00
10
10
01
10
10
01
00
00
00
00
10
11
00
11
01
10
00
00
10
10
10
00
10
00
11
01
10
00
00
01
01
10
11
11
10
01
01
00
10
10
00
01
00
01
10
00
11
10
00
00
00
10
11
01
10
11
00
10
01
11
10
00
01
10
00
10
00
00
00
11
01
01
00
10
00
00
10
10
10
10
00
10
01
01
01
00
11
11
10
11
10
00
00
11
10
00
01
10
10
10
00
00
00
10
10
00
10
11
00
10
10
00
00
10
11
01
00
01
00
10
11
10
00
10
10
00
10
00
11
10
00
10
10
11
01
00
10
10
10
10
00
01
01
10
01
10
00
10
01
01
10
10
10
10
10
11
11
01
00
10
00
00
00
00
10
10
00
11
01
00
01
00
10
00
10
10
00
11
00
01
00
00
00
00
11
00
00
11
00
01
11
01
00
00
10
00
11
10
10
10
10
00
10
10
01
00
10
11
11
10
11
00
00
10
01
00
10
10
00
10
00
10
10
10
10
00
11
00
10
10
01
10
01
01
10
10
00
10
00
11
10
10
10
00
10
10
01
11
10
10
00
10
10
01
00
01
10
01
01
10
11
01
10
11
01
00
10
10
00
11
11
00
00
00
01
10
00
00
10
11
01
00
10
00
10
10
00
00
10
10
11
00
10
10
00
00
00
00
00
00
00
11
10
00
10
00
11
01
10
11
10
10
00
10
10
11
00
01
01
01
00
10
00
10
10
01
00
11
00
00
10
00
10
11
10
00
11
11
10
00
00
11
10
10
00
00
11
10
01
01
00
00
00
10
00
11
10
00
00
00
00
00
10
10
00
10
10
00
10
10
00
00
00
00
01
01
10
11
10
00
10
00
01
00
00
01
00
11
11
00
10
10
11
10
11
10
00
00
10
10
00
00
10
11
10
00
00
10
11
00
01
11
00
01
00
10
00
11
10
00
00
10
00
00
00
00
11
00
10
10
01
11
00
00
01
00
10
00
10
00
10
11
10
00
10
01
01
00
01
11
10
00
00
00
00
01
11
10
01
00
11
00
00
10
11
11
00
11
10
10
01
00
00
10
11
00
11
01
00
00
10
10
10
01
11
00
00
10
10
00
10
10
10
10
00
10
00
10
10
00
00
01
01
11
01
00
11
00
11
00
11
10
01
01
01
01
11
10
10
11
00
00
01
11
11
00
10
00
00
11
00
11
00
10
10
10
00
00
00
10
10
10
11
00
01
00
00
11
00
00
10
11
11
01
00
10
00
11
00
01
11
10
10
10
01
00
00
00
11
00
01
01
10
11
00
10
01
11
00
01
11
01
10
11
10
01
00
10
10
10
10
00
00
11
11
00
11
11
00
10
00
00
10
00
00
10
01
11
10
01
00
00
10
01
10
00
00
10
10
01
11
00
01
00
10
00
11
11
10
10
00
01
11
10
00
00
10
10
00
00
10
10
10
11
01
10
00
01
10
10
01
00
00
11
10
01
11
01
11
10
11
11
00
01
10
10
01
00
11
11
10
01
01
01
11
01
00
10
00
10
01
00
11
10
10
10
00
00
11
01
00
11
00
10
10
00
00
01
10
10
10
01
00
11
00
00
01
11
11
00
00
10
10
00
00
00
10
11
10
10
10
11
00
11
00
00
00
10
01
10
00
01
10
11
01
00
10
10
01
00
00
10
01
00
01
11
10
00
00
01
10
11
00
00
10
00
01
11
10
00
10
01
11
00
11
11
10
00
10
01
10
00
00
10
10
10
00
00
00
10
01
11
11
01
00
01
00
00
10
00
01
10
00
00
10
01
11
00
11
00
01
10
00
11
10
00
00
10
01
01
10
10
10
11
00
00
00
00
11
10
11
10
00
11
10
00
01
11
00
10
00
10
11
01
10
00
01
10
11
10
00
11
00
00
10
00
10
01
00
10
10
10
01
11
10
01
10
10
01
00
01
01
11
10
10
01
00
11
00
01
10
11
11
00
10
10
00
01
00
10
00
11
00
10
10
11
10
00
00
00
00
00
10
11
00
00
01
10
11
11
10
00
11
10
00
00
10
00
00
00
10
10
01
01
11
10
10
00
01
11
00
00
10
10
00
10
00
00
11
01
10
11
10
00
01
10
00
00
10
10
01
01
10
01
00
10
01
10
01
11
11
01
10
00
01
11
10
10
00
01
00
11
10
00
10
01
00
11
11
00
01
10
11
00
01
10
10
10
00
11
01
11
01
10
00
10
00
01
10
10
01
10
11
00
01
00
01
10
11
11
11
00
01
10
10
10
11
10
01
11
10
00
00
10
11
11
00
00
01
00
11
10
01
10
10
10
10
00
00
01
10
01
11
10
00
01
11
01
01
10
10
10
01
10
01
01
10
00
00
00
00
00
11
01
00
00
00
01
10
10
00
10
11
10
01
00
01
10
00
01
10
10
00
10
10
11
11
00
00
10
10
00
00
10
10
01
10
11
00
01
00
01
10
11
01
10
01
01
10
10
10
00
11
00
00
10
11
00
01
10
10
01
11
01
10
00
00
11
10
00
00
11
00
01
11
01
00
11
00
11
11
00
00
00
11
11
00
10
10
01
01
10
10
00
10
01
10
11
00
10
00
10
01
00
10
10
00
01
01
01
10
11
00
00
11
10
00
00
10
11
00
00
11
10
10
00
00
11
00
00
11
00
00
10
00
10
00
10
10
11
11
00
10
01
00
00
00
00
10
11
00
11
11
10
00
00
11
00
10
10
10
01
00
11
10
00
10
01
11
10
00
00
00
10
10
01
00
10
11
00
10
00
10
11
01
00
01
11
01
11
01
10
10
10
01
11
11
00
10
11
11
00
00
10
11
11
00
10
10
10
00
10
01
00
11
00
11
10
10
00
01
10
11
10
00
00
10
00
10
01
00
01
00
10
00
11
10
00
00
10
10
10
00
10
00
00
10
10
00
11
10
01
10
00
10
00
01
00
00
11
00
00
11
00
01
10
10
01
01
00
01
10
10
10
10
00
01
01
10
10
00
10
10
10
10
00
01
10
10
01
01
01
11
11
01
10
10
00
10
00
01
10
11
11
01
00
10
01
00
11
11
00
00
11
00
01
00
10
10
00
00
00
00
10
00
11
01
00
00
11
11
10
01
00
01
10
00
10
10
00
01
00
10
11
00
00
00
10
11
11
01
10
01
01
11
10
00
00
11
10
00
00
10
10
11
00
10
00
00
00
00
11
00
11
00
01
00
01
10
10
11
00
00
11
10
01
00
10
10
00
01
11
00
00
01
11
00
10
11
00
01
00
11
10
10
00
10
00
11
00
00
00
10
10
10
01
00
01
11
10
11
10
00
10
00
01
01
10
11
10
11
00
10
10
11
10
00
11
10
00
00
10
01
11
01
11
01
10
10
10
10
11
11
00
01
01
10
01
01
10
00
10
10
11
11
01
00
11
00
10
10
10
00
00
10
11
00
01
10
00
11
00
00
00
10
10
11
00
11
10
11
10
00
00
11
10
01
01
10
10
00
00
10
11
00
11
10
10
10
11
00
11
10
00
00
01
01
10
01
00
10
10
01
10
10
10
01
10
10
10
10
00
10
00
01
01
10
00
10
01
01
00
11
11
00
10
01
01
00
10
10
00
00
10
11
00
10
00
01
10
10
01
00
11
10
00
00
00
01
10
10
00
11
11
01
10
11
00
01
11
00
00
00
00
10
01
11
01
00
11
00
10
10
10
00
00
00
10
01
11
10
11
00
10
00
00
10
10
01
01
10
11
00
00
10
01
00
00
11
11
10
01
11
01
00
11
00
10
11
00
10
00
10
00
01
10
11
10
10
00
00
10
00
10
10
10
00
11
00
00
10
00
11
11
01
01
00
01
10
10
11
00
00
11
00
00
00
10
11
00
11
00
00
10
10
10
10
10
00
00
10
00
10
01
01
10
01
00
00
00
10
00
11
00
10
01
00
10
10
10
01
11
11
01
11
00
11
00
10
10
00
00
10
00
00
10
00
00
10
10
10
01
01
11
10
11
00
01
00
00
01
00
10
10
01
11
00
00
01
10
10
11
10
00
10
11
00
11
00
10
10
11
10
00
10
01
11
10
10
00
01
11
00
00
11
00
00
10
00
10
00
10
10
10
01
01
00
10
00
00
00
00
01
00
11
10
10
10
10
00
01
00
10
00
10
10
00
00
10
11
11
00
00
00
10
10
01
10
01
00
01
10
01
10
11
00
00
11
10
10
00
01
11
01
10
00
10
10
10
10
01
01
10
11
11
00
10
10
01
10
10
01
01
11
01
11
11
00
10
01
00
11
10
11
01
11
11
00
10
11
00
00
10
10
00
01
10
10
10
00
10
01
00
10
10
00
11
01
10
00
10
01
00
10
00
00
01
11
10
01
00
01
00
00
11
10
01
10
00
00
01
11
10
01
00
01
11
10
01
01
00
11
10
00
11
10
00
00
10
10
00
00
10
01
00
10
00
11
10
10
00
10
11
00
10
11
00
00
01
10
11
00
00
00
00
00
00
00
10
00
10
10
10
10
10
00
00
10
00
00
10
00
01
11
11
01
11
10
00
00
11
10
00
01
10
01
11
00
00
11
11
00
00
01
10
01
01
00
10
00
01
00
10
00
10
00
10
00
01
00
00
00
00
00
10
10
10
01
00
00
00
00
00
11
00
10
00
10
10
01
10
00
11
10
11
10
10
00
11
10
01
00
10
10
11
00
00
01
10
11
10
10
01
00
10
10
10
00
10
10
10
00
00
11
01
10
10
11
01
01
10
00
10
10
00
00
01
10
10
11
10
01
00
10
10
00
10
01
10
00
01
11
11
10
00
11
00
01
01
10
01
00
10
00
01
10
10
10
01
00
10
10
00
00
00
00
11
10
10
10
10
11
10
10
10
00
01
00
01
11
11
01
00
10
10
00
00
11
11
01
00
10
10
01
11
10
01
01
00
00
01
10
11
01
00
10
01
00
10
10
00
01
00
00
11
00
00
01
00
00
10
11
10
11
00
10
00
00
00
10
10
01
10
00
00
00
00
11
00
10
10
00
00
01
00
00
10
01
00
10
00
00
10
01
00
10
01
10
00
10
10
00
00
10
11
00
11
10
00
10
01
00
11
00
00
00
01
10
00
00
10
00
00
11
01
11
10
10
10
01
00
11
01
01
11
10
10
10
10
01
10
10
00
00
00
00
00
10
00
00
11
00
11
11
11
00
11
00
10
11
01
00
10
10
00
11
10
00
00
00
00
01
11
11
11
11
00
00
10
00
10
01
00
10
11
11
10
10
00
11
00
10
11
00
00
10
01
00
10
00
00
10
01
11
10
10
00
00
01
00
10
01
11
10
11
10
01
00
11
00
00
00
00
00
10
00
01
00
10
10
10
10
10
10
00
10
10
00
01
01
10
10
01
01
10
00
11
10
00
00
10
01
11
00
00
00
00
10
10
00
00
10
00
11
10
11
10
00
01
10
11
00
11
10
01
00
10
00
11
11
00
10
10
00
10
10
10
00
00
00
10
00
10
11
10
00
01
00
01
01
00
01
00
10
01
00
01
10
00
00
10
01
01
00
10
01
10
10
10
00
00
11
00
10
11
10
01
11
11
10
00
00
01
00
11
11
11
00
10
11
10
01
00
11
01
00
11
11
10
01
11
00
00
01
11
10
01
00
11
10
01
00
11
11
00
00
00
11
01
10
10
00
10
01
10
10
01
01
00
01
10
10
00
00
00
10
00
00
00
01
10
00
10
10
00
11
00
10
00
10
10
11
00
11
10
00
00
00
10
00
01
00
10
10
01
00
00
10
10
00
01
11
10
00
00
10
01
10
10
01
00
01
00
01
10
00
00
00
00
10
01
11
10
11
10
01
11
10
01
01
00
11
01
01
01
00
11
10
00
01
00
01
11
10
10
11
10
00
11
11
10
11
00
00
01
10
00
01
01
10
00
00
11
00
01
00
00
10
00
01
11
10
10
01
11
11
00
00
00
10
00
00
11
10
00
10
01
00
00
10
10
00
11
11
00
10
11
11
10
00
00
00
10
00
11
01
00
11
00
01
00
10
10
10
00
00
01
11
00
00
00
10
10
11
01
11
10
01
11
01
10
10
00
01
00
11
11
00
00
11
00
11
00
00
00
10
10
00
10
11
10
00
00
10
11
11
01
10
00
10
00
10
00
01
11
00
00
01
10
10
01
00
00
10
11
00
10
00
00
00
00
10
00
00
10
10
11
01
01
01
01
11
01
00
00
01
10
11
00
11
10
11
10
00
01
00
00
11
01
00
00
11
10
10
00
11
00
00
10
10
00
00
00
00
00
10
01
00
11
10
11
10
00
01
10
11
11
10
01
00
00
10
10
00
00
10
11
00
10
10
00
11
10
00
00
11
10
00
01
10
10
10
00
11
11
00
00
01
11
11
00
01
00
11
00
00
10
11
11
11
01
00
00
10
10
00
01
10
10
00
10
00
00
10
11
01
11
10
10
10
10
10
00
10
11
10
10
10
00
10
10
00
00
01
00
10
00
11
10
00
10
00
00
10
00
10
00
10
10
01
10
01
00
10
10
11
11
10
11
10
00
11
11
00
00
10
11
11
11
11
00
11
01
10
10
00
00
11
00
00
11
01
00
10
01
10
10
01
00
11
00
10
10
00
11
00
01
01
11
11
01
01
11
00
00
11
10
11
00
00
10
00
00
11
10
11
00
11
00
00
00
11
10
00
00
10
00
00
00
01
10
01
01
00
01
00
10
10
01
10
10
10
00
00
10
00
11
11
00
00
10
00
01
10
11
10
10
11
10
11
01
00
11
10
00
00
00
00
00
10
01
00
10
11
10
01
10
11
00
10
00
00
10
10
00
10
00
00
10
10
01
11
00
10
10
00
00
00
00
00
00
10
11
00
11
11
10
10
10
10
00
00
11
11
10
10
01
10
10
10
00
01
00
10
11
10
00
01
00
10
10
10
10
10
00
10
01
00
10
10
10
00
01
10
10
00
01
01
00
11
10
11
00
01
10
00
10
01
00
10
00
11
00
01
00
10
00
01
00
10
01
01
00
10
10
11
10
00
00
11
10
01
00
10
10
00
00
11
10
00
00
10
10
00
01
10
00
01
00
00
01
00
10
11
10
00
10
11
10
00
11
01
00
00
00
10
10
01
11
01
10
00
11
10
00
11
11
00
11
00
01
10
10
00
10
01
00
00
10
10
10
01
00
10
11
00
11
11
10
10
01
00
11
00
00
00
01
10
10
11
00
00
00
10
10
10
00
00
00
11
10
00
10
00
11
10
10
00
01
00
10
01
11
00
10
01
00
00
00
10
10
11
00
00
00
10
10
00
00
10
10
00
10
01
11
10
01
01
10
10
11
01
10
11
00
01
01
01
10
11
00
11
10
00
00
10
10
00
11
01
00
11
10
01
10
00
10
10
00
00
00
11
11
10
00
00
00
00
10
01
10
10
10
10
10
00
10
10
10
10
00
00
11
01
11
10
00
10
00
10
11
11
00
01
01
11
10
00
01
00
11
11
10
00
10
00
00
10
10
10
00
00
00
10
00
01
10
11
10
00
00
01
00
10
00
00
00
01
10
10
10
00
10
00
00
10
00
10
11
10
01
00
10
00
10
10
00
00
10
00
11
10
11
10
10
10
10
10
10
00
00
11
11
00
10
11
11
11
01
01
10
01
01
10
10
01
00
10
10
00
00
11
10
10
10
11
00
01
00
01
00
11
10
00
10
00
11
10
00
00
11
00
00
10
10
11
00
10
10
11
00
11
00
01
00
01
01
10
10
10
01
01
00
10
01
10
01
10
00
10
10
00
11
10
00
01
00
00
10
00
01
10
01
01
01
00
10
00
10
00
00
11
10
01
01
01
00
10
00
11
00
10
00
01
10
01
00
10
10
01
01
10
11
00
01
10
10
00
00
00
11
00
00
10
10
00
10
10
11
10
01
01
00
10
00
11
00
00
10
10
01
11
00
01
11
00
00
00
10
10
00
10
11
10
10
00
01
10
01
00
01
01
10
00
10
10
00
10
11
00
00
01
10
01
10
10
11
00
00
10
10
00
10
10
01
00
00
00
00
00
10
00
01
10
11
01
10
10
00
01
00
01
11
11
11
11
00
10
11
01
00
01
10
11
11
00
10
11
10
00
10
10
00
00
10
00
01
11
10
10
10
10
10
00
10
00
00
11
01
10
10
01
01
10
11
10
10
00
00
10
00
10
10
10
10
00
00
01
01
11
10
10
11
10
00
11
10
00
11
10
00
11
01
01
00
01
10
00
10
10
01
10
10
00
00
01
00
10
10
00
10
11
00
00
01
10
10
00
00
11
00
11
01
10
01
10
00
01
10
10
00
10
00
10
00
00
00
00
10
00
11
01
01
00
10
00
00
10
01
01
10
11
00
10
00
01
10
00
00
10
11
00
01
11
00
10
01
00
00
00
11
11
11
00
00
10
00
10
11
01
00
01
01
11
10
00
00
01
00
10
10
00
10
10
10
01
00
00
10
00
01
10
11
10
10
11
00
10
11
11
00
00
00
10
11
10
10
00
11
10
01
10
10
10
00
01
10
01
01
01
00
01
00
10
00
00
11
01
10
11
00
01
00
10
00
10
00
10
00
00
10
11
00
00
11
01
00
10
00
00
00
00
11
11
00
10
11
00
01
10
00
10
11
01
00
00
10
10
11
00
11
10
01
00
00
00
00
10
00
10
00
11
01
00
10
00
10
00
11
00
10
11
10
01
00
10
00
10
10
10
10
10
00
11
00
11
10
00
00
11
11
00
10
00
00
00
00
10
11
11
11
11
10
01
01
01
10
10
00
00
11
00
10
11
01
00
01
10
01
01
10
10
10
01
00
01
00
10
11
00
00
00
01
11
10
00
00
00
01
10
00
00
10
10
11
10
00
11
00
00
10
01
10
00
00
10
11
00
01
11
00
00
11
00
01
00
10
11
00
10
01
11
11
01
10
10
00
00
00
10
11
10
00
10
01
00
00
10
10
11
11
01
11
00
00
01
10
10
00
00
10
10
11
00
00
10
10
11
01
01
01
01
11
11
00
01
10
10
00
01
11
10
10
10
11
00
10
00
10
01
01
11
01
00
00
10
01
00
10
11
01
00
10
00
00
10
10
10
00
10
00
10
01
10
01
10
00
11
00
00
11
10
01
01
01
10
10
10
10
01
00
00
10
00
00
00
10
11
10
10
00
10
00
01
00
10
10
00
00
11
00
01
10
01
00
10
01
10
01
01
00
00
00
00
11
00
10
11
00
00
10
00
10
10
00
00
11
00
10
10
01
11
10
10
00
00
00
10
10
11
11
00
00
01
11
10
10
10
01
10
00
00
10
11
00
10
00
10
11
10
10
01
01
11
10
10
00
00
11
10
11
00
10
10
10
00
01
10
10
00
11
01
10
11
00
10
00
00
01
10
00
00
10
01
00
10
10
11
11
11
00
10
10
10
00
00
10
10
01
00
10
01
00
01
10
11
01
01
00
01
00
10
00
11
10
00
10
00
11
11
11
01
10
10
11
10
10
10
00
00
10
01
00
01
00
00
10
10
00
00
10
11
10
01
10
10
10
00
10
10
11
00
10
10
00
01
10
10
00
01
10
10
11
10
00
10
10
01
10
00
10
00
11
10
10
01
11
00
10
10
00
01
11
11
01
00
10
10
00
11
10
01
00
00
11
11
10
00
01
10
10
10
00
11
01
01
11
01
00
01
01
00
10
10
01
10
01
00
11
10
00
00
11
00
10
00
00
10
10
10
00
00
10
00
00
10
00
11
10
00
11
00
11
10
00
11
00
01
10
11
01
01
00
10
10
11
11
10
10
00
00
00
01
11
10
10
11
10
10
00
10
11
01
01
01
00
00
10
11
11
00
00
10
10
11
01
01
10
11
00
10
11
00
01
00
00
10
10
11
00
00
10
10
10
00
11
10
11
00
00
11
10
00
00
11
10
10
00
01
10
00
00
11
00
01
10
00
10
01
01
10
01
11
10
00
00
00
01
10
10
10
11
00
00
00
01
00
10
10
10
01
11
10
01
10
00
00
00
00
00
00
10
01
00
00
10
00
00
00
01
11
11
00
10
10
00
10
00
01
10
10
00
00
01
11
11
10
00
10
00
00
00
00
10
10
00
00
10
10
01
10
10
00
01
10
11
01
00
11
11
11
11
10
01
10
00
00
11
00
00
01
10
10
00
10
00
00
11
10
10
00
10
10
10
10
00
01
01
10
00
10
01
01
10
11
11
11
01
10
10
01
11
00
01
10
11
11
00
01
01
10
10
11
11
01
00
11
10
00
10
10
00
00
00
10
10
00
00
00
01
11
11
01
11
10
11
10
10
01
00
01
10
10
10
11
10
10
10
10
10
01
00
01
01
10
00
01
00
10
01
10
11
11
10
01
00
10
01
10
00
10
00
11
11
11
11
00
00
10
01
10
00
01
10
00
00
10
10
10
00
00
00
00
00
10
11
01
01
10
11
00
11
00
00
00
11
10
00
10
11
01
11
00
00
01
10
01
00
10
00
00
01
10
11
00
01
10
10
10
00
10
01
10
10
00
01
00
00
11
10
00
11
01
00
10
01
00
00
10
11
10
11
00
11
00
01
10
01
00
10
11
11
10
00
01
10
01
00
10
10
10
00
01
01
10
10
01
10
10
00
00
00
01
10
00
00
00
10
10
01
10
00
01
11
00
10
00
11
00
00
10
10
10
11
00
00
00
11
10
00
10
00
00
10
11
00
01
10
10
10
10
01
10
01
00
11
10
00
00
10
10
00
10
10
00
00
11
11
10
00
10
10
10
00
00
10
01
10
11
10
11
01
11
10
01
01
10
10
01
00
10
01
00
00
00
00
10
01
11
11
01
01
10
01
00
00
11
00
11
10
00
10
00
10
11
10
10
10
00
00
11
01
00
11
00
00
01
10
01
10
10
01
10
00
00
11
11
10
10
10
11
11
10
11
00
00
11
00
00
10
11
01
10
10
00
01
01
00
10
10
11
00
00
00
00
10
11
10
11
01
11
10
00
00
10
10
10
00
01
11
10
00
01
11
01
01
01
00
11
10
00
10
01
00
01
10
00
00
11
10
10
00
00
00
00
00
10
10
00
00
01
10
00
00
00
11
00
01
10
00
11
10
10
10
01
11
11
00
01
00
01
11
11
00
01
10
00
00
10
11
10
11
00
01
00
00
00
10
01
00
10
10
10
11
10
01
00
01
10
10
00
10
10
01
10
10
00
00
10
10
01
10
11
11
11
11
01
00
10
11
00
11
00
00
11
10
00
00
10
10
11
10
11
00
01
01
11
10
00
00
10
01
11
11
01
00
00
01
10
11
00
00
00
00
10
10
10
10
11
00
11
00
00
10
10
11
00
10
11
00
10
00
00
00
11
10
00
00
00
01
01
00
11
10
10
00
00
10
10
10
01
10
00
11
00
10
10
00
01
00
11
10
11
11
10
10
01
00
10
01
01
10
00
10
00
10
01
01
00
10
10
10
11
00
10
11
01
01
10
10
00
00
11
10
11
00
00
00
10
00
11
11
01
10
11
00
00
00
00
10
10
00
00
00
00
00
10
10
10
00
11
11
00
01
00
01
01
10
11
10
00
00
10
10
00
10
10
10
00
10
10
10
00
00
00
10
10
00
10
01
01
10
11
10
10
00
00
10
00
11
10
10
11
00
00
00
00
11
11
00
01
00
10
10
00
00
10
11
00
10
00
00
11
00
00
10
10
00
10
11
00
00
01
00
00
10
10
00
00
10
10
00
10
00
10
00
11
01
10
11
01
10
10
10
01
10
00
01
01
11
01
00
10
00
10
10
00
00
11
11
10
10
10
01
00
01
01
10
00
00
01
01
10
10
11
00
00
11
00
01
01
10
10
00
00
10
11
00
00
01
00
00
10
10
10
00
11
00
10
11
01
10
11
01
01
01
01
10
11
00
10
00
00
11
00
00
10
10
11
00
11
00
11
10
11
00
01
11
11
00
11
00
00
00
00
00
10
00
10
10
11
01
10
00
00
00
10
00
01
10
01
00
01
01
11
00
00
01
11
11
01
00
10
10
01
10
11
00
01
10
00
11
10
00
10
10
01
10
10
01
11
01
00
11
10
10
00
10
01
01
00
10
00
01
00
00
11
10
00
10
01
01
11
00
00
10
10
00
01
10
11
00
01
10
01
00
11
01
00
11
10
10
10
00
01
10
10
00
00
11
10
00
00
10
00
01
00
00
00
10
00
11
11
10
10
00
01
10
00
00
00
10
10
01
01
00
11
11
10
11
00
10
00
00
10
00
00
00
10
10
00
11
10
11
10
10
01
00
11
00
11
10
10
10
00
10
11
01
00
10
01
10
10
10
00
00
10
00
11
10
11
10
10
01
11
01
01
01
10
10
00
00
01
10
00
00
10
10
10
10
10
10
00
11
11
11
00
11
01
10
10
00
00
11
01
11
10
10
00
01
10
00
01
00
10
10
11
00
00
10
00
00
10
11
11
00
11
11
01
10
01
01
00
10
11
11
11
10
00
00
10
01
01
00
11
01
10
01
00
00
11
10
01
00
10
10
10
10
00
00
11
00
01
00
01
01
00
10
10
10
01
10
10
10
01
10
00
10
00
01
11
11
10
10
00
00
00
00
00
11
11
01
10
11
10
00
10
10
00
10
01
00
00
10
10
10
10
11
00
11
00
00
11
10
01
00
11
10
10
10
00
00
10
10
10
10
10
00
01
01
11
11
00
00
01
00
10
00
00
11
01
10
10
10
00
10
11
01
00
10
11
00
01
10
11
00
01
01
10
10
10
01
00
10
10
10
00
01
01
10
10
01
10
00
11
01
11
00
00
11
00
00
11
00
00
10
11
10
10
00
11
00
11
10
00
01
00
00
11
00
00
00
10
11
00
01
10
00
10
10
00
01
00
10
00
10
11
01
10
01
00
10
00
11
10
01
00
01
11
00
01
10
11
11
00
00
10
01
01
10
11
10
10
10
00
00
00
10
10
01
00
00
10
00
10
11
10
01
10
10
11
00
11
10
00
00
00
10
11
10
01
00
01
10
11
10
01
10
10
11
01
10
10
00
01
00
10
10
10
11
10
00
10
11
01
10
01
11
00
10
11
00
11
00
10
10
11
01
11
00
00
10
00
01
10
01
11
01
11
10
00
00
10
01
00
10
10
11
00
01
10
01
00
01
11
11
10
00
10
10
00
00
10
10
00
10
11
00
00
00
11
10
11
01
00
10
10
00
10
10
00
00
10
11
10
11
10
10
10
00
11
01
11
10
11
00
10
01
01
11
10
10
01
00
11
11
10
00
11
11
01
10
10
10
10
00
10
01
10
10
00
10
00
00
00
00
11
00
11
10
00
10
11
00
10
10
10
01
00
10
00
11
11
11
00
10
00
01
01
10
00
00
00
10
10
00
10
00
00
10
11
10
10
01
01
11
00
10
00
00
10
11
10
00
01
10
00
00
10
10
10
10
00
00
10
10
11
11
10
10
10
00
10
00
01
11
00
00
00
01
01
11
10
11
00
00
10
00
00
00
10
10
10
10
00
11
01
11
10
00
01
00
10
00
00
10
00
00
11
11
00
11
10
10
01
10
11
11
11
01
00
00
00
01
10
01
00
11
10
10
10
10
10
01
10
11
00
00
10
10
10
00
11
11
11
00
11
00
00
01
11
01
00
10
10
10
00
10
11
00
01
11
10
01
10
10
10
11
00
10
11
00
01
00
11
10
00
01
00
00
00
00
10
10
00
10
01
11
00
01
00
10
10
00
00
01
11
11
10
10
00
10
10
00
01
10
01
11
11
01
00
10
00
11
10
00
10
10
00
11
00
10
11
00
10
11
00
01
00
00
10
00
10
10
00
00
10
10
01
00
11
10
00
11
01
10
11
11
00
00
00
10
00
00
11
00
10
10
10
11
10
10
00
10
00
10
10
11
10
10
00
00
10
00
10
10
01
11
11
10
00
01
10
10
00
10
10
01
10
10
10
00
00
10
10
00
00
10
10
11
10
10
10
00
00
10
11
11
10
11
10
11
10
11
01
01
00
11
01
00
00
10
00
00
00
10
11
00
00
01
00
01
10
00
00
11
10
10
00
00
01
10
10
10
10
00
10
01
00
00
10
11
11
00
10
10
01
11
00
01
10
01
00
01
10
10
00
00
11
10
00
00
00
10
01
01
10
10
11
00
01
00
01
01
01
00
01
10
10
00
00
10
10
00
00
11
00
01
01
10
01
10
00
10
10
01
10
10
10
10
11
00
00
01
01
11
10
00
11
10
01
00
00
01
10
00
11
10
00
10
10
10
10
00
00
10
11
00
10
00
00
11
01
10
10
01
00
01
00
00
10
00
01
11
10
01
10
10
11
11
00
10
01
01
10
01
00
11
01
10
10
10
00
00
11
10
01
10
10
10
01
10
00
00
00
11
11
01
01
01
11
00
00
10
10
00
00
11
10
00
01
00
00
10
10
10
10
00
01
10
10
00
00
00
10
11
10
11
11
11
00
00
10
00
10
10
01
10
10
00
11
01
00
00
10
10
10
10
00
00
00
10
11
10
10
00
10
10
10
01
01
10
11
01
10
10
01
11
10
11
00
00
10
01
11
11
01
11
00
00
01
00
10
10
00
00
10
10
11
00
10
00
10
11
10
10
00
00
10
10
00
11
10
00
10
10
01
10
00
00
00
10
00
01
10
10
11
01
00
10
10
11
00
01
00
11
00
10
11
00
00
00
00
10
01
01
10
01
10
00
01
10
01
10
11
10
10
00
11
10
00
11
00
10
10
00
00
11
10
10
00
00
10
10
00
01
00
10
01
11
01
11
10
10
01
10
10
00
01
10
00
00
10
01
00
01
01
10
11
00
10
10
00
00
01
11
10
10
10
00
01
10
11
10
00
00
10
01
01
10
10
10
10
10
00
10
10
00
00
00
00
01
00
00
00
10
10
10
01
00
11
01
10
11
00
01
01
10
10
01
10
10
11
11
00
10
10
00
01
00
10
10
00
00
01
00
10
10
00
10
10
00
00
10
00
10
10
10
00
11
10
00
00
11
01
11
11
00
01
11
00
11
00
01
10
11
00
10
01
00
00
11
11
01
00
11
00
00
10
10
10
00
01
10
11
01
10
00
10
00
00
11
00
01
10
10
10
11
11
11
11
00
10
11
11
10
01
01
11
01
00
01
01
01
10
10
00
10
11
10
00
00
11
11
11
10
01
01
10
10
00
00
00
11
11
10
00
00
00
10
00
00
10
11
01
10
01
00
11
01
00
10
00
10
10
10
01
00
10
01
11
01
10
01
00
10
01
10
00
01
01
10
00
10
01
00
11
00
00
00
10
00
00
11
10
00
10
10
01
00
10
00
10
00
00
11
00
00
10
01
10
11
01
11
11
00
10
10
10
01
00
11
10
10
00
10
10
00
00
10
10
00
11
01
01
11
00
00
10
00
01
10
10
10
01
00
10
00
00
10
00
00
10
00
10
11
00
00
10
10
11
00
00
11
10
11
10
00
00
10
11
10
00
00
10
10
00
01
01
10
10
00
10
00
00
00
11
00
00
11
00
00
00
10
00
00
01
00
11
10
01
10
10
00
00
10
00
01
11
00
11
01
10
00
01
00
11
10
11
00
00
10
10
11
01
10
10
00
10
11
01
01
10
00
10
10
00
00
00
10
11
10
00
10
00
11
11
01
00
11
01
00
00
00
10
10
10
10
00
01
11
10
00
00
01
11
10
00
10
00
01
00
11
01
10
10
00
00
00
11
10
11
11
00
11
00
10
00
00
00
10
00
00
00
10
11
10
10
11
11
10
01
10
11
01
00
00
00
10
10
10
00
00
11
00
00
10
00
10
11
11
00
11
10
10
01
11
11
10
10
00
10
10
01
00
10
01
11
11
11
11
00
00
00
10
01
10
00
01
11
10
11
10
11
00
10
01
11
10
01
10
01
00
11
11
11
10
10
10
10
10
00
10
10
01
01
11
00
00
10
11
00
10
01
00
00
00
10
10
10
00
10
00
11
01
11
11
00
00
10
01
10
10
00
00
11
11
00
00
01
10
00
10
10
10
00
00
10
10
11
00
11
00
10
00
01
10
10
01
00
10
10
01
00
10
10
11
01
00
00
01
01
10
00
10
11
00
01
10
10
11
01
00
00
11
11
10
00
01
10
11
00
11
00
10
01
00
11
10
11
10
00
10
01
10
10
00
00
00
00
11
10
10
11
10
10
01
10
11
00
11
01
01
10
01
10
10
10
00
01
10
11
10
00
01
11
00
01
10
10
10
00
00
00
10
10
00
11
11
01
10
10
00
11
10
01
00
11
00
10
00
01
00
11
10
00
10
00
01
10
11
10
10
01
10
10
00
00
10
11
01
00
00
10
10
00
10
11
11
11
00
10
10
11
00
10
10
00
00
00
10
00
00
11
00
01
10
01
00
10
00
10
11
00
11
10
00
01
10
01
00
10
00
10
10
01
01
11
11
00
10
10
10
10
10
00
00
10
00
10
10
01
01
00
10
10
00
11
01
11
10
00
10
10
00
10
01
00
10
10
00
11
00
00
00
10
10
11
00
01
10
10
11
00
10
11
00
00
00
01
10
11
01
10
11
00
01
01
01
11
10
00
10
10
00
00
00
10
11
10
01
00
10
11
01
00
01
00
10
01
10
00
00
11
10
11
10
00
11
10
00
11
00
01
10
10
00
10
10
01
10
11
00
10
10
01
11
10
10
00
00
10
10
00
11
10
11
10
11
10
10
01
01
11
10
01
00
10
00
10
10
00
00
10
01
00
11
10
11
01
00
11
10
10
00
00
11
10
00
01
01
10
01
10
11
10
00
01
00
00
10
11
00
11
10
10
10
01
10
10
01
00
11
01
11
00
10
10
00
10
10
01
11
10
00
10
10
10
00
00
10
01
11
10
10
00
11
01
10
01
10
01
00
00
01
00
00
10
10
10
11
00
00
10
10
01
11
00
10
10
00
11
10
10
00
11
10
11
11
01
01
10
10
01
01
11
11
01
01
00
00
10
11
00
10
00
01
10
11
01
11
10
01
01
00
10
10
10
00
00
01
00
11
00
10
10
11
00
00
00
10
00
00
01
00
00
10
10
01
00
11
00
01
11
11
10
11
00
01
10
10
00
11
00
00
00
10
00
01
11
00
00
11
10
00
00
10
11
00
11
10
10
10
00
00
00
10
10
01
10
01
10
10
10
10
10
10
10
00
01
10
10
00
10
00
00
01
11
01
10
11
00
10
10
10
11
10
00
00
01
10
11
11
00
00
00
01
00
01
11
10
10
00
10
11
01
00
10
10
01
01
10
10
00
11
10
10
00
00
01
10
01
00
10
10
00
01
11
00
10
11
10
10
10
01
00
11
00
10
00
11
00
01
10
11
10
00
10
00
11
00
10
10
10
00
10
00
01
01
10
10
10
01
11
10
10
11
11
10
00
11
10
01
01
00
10
00
10
10
11
00
00
10
00
10
11
01
01
01
10
10
10
11
10
00
00
10
11
10
01
11
11
00
00
10
00
11
10
10
11
10
01
00
00
00
01
10
10
00
00
00
11
10
10
11
10
00
01
10
10
00
00
01
10
10
00
00
11
01
10
00
01
10
00
00
10
10
01
00
00
00
10
10
11
00
01
11
00
01
10
11
00
00
10
10
11
10
11
01
00
10
11
01
01
00
11
11
00
00
00
01
10
11
00
10
00
01
00
01
00
10
01
00
00
10
11
00
00
11
10
00
10
01
00
11
10
10
10
00
00
01
00
10
01
01
11
11
00
10
10
01
11
10
00
00
00
10
00
01
10
10
10
10
00
00
00
00
11
10
10
10
11
10
01
10
11
10
00
11
00
00
00
01
10
01
00
10
10
10
11
01
10
10
11
10
10
00
00
00
01
11
10
00
00
00
01
11
10
10
10
00
01
10
00
10
11
00
01
11
10
10
01
00
01
10
10
00
00
00
11
01
00
10
10
10
01
10
11
01
10
10
00
00
10
11
00
10
11
00
01
01
10
01
10
00
00
10
00
01
10
10
01
00
11
00
10
11
00
10
11
00
01
11
10
01
10
11
10
11
01
00
01
11
10
00
10
01
01
01
10
10
00
00
10
00
00
11
00
00
10
01
11
00
00
00
00
10
10
01
10
00
10
00
10
10
00
10
10
11
10
11
11
00
10
10
00
10
00
00
10
00
00
00
10
10
01
11
01
10
10
00
10
10
01
00
10
10
01
00
10
01
10
10
00
11
10
00
00
10
10
00
00
01
00
01
10
01
01
10
10
10
10
01
11
10
10
01
01
00
00
10
00
00
00
10
10
10
11
11
00
10
10
10
00
00
00
11
00
00
11
00
10
10
01
01
11
11
00
01
10
00
11
10
01
00
10
10
00
11
11
11
00
00
00
10
11
10
00
10
10
00
10
01
00
10
00
00
00
10
10
11
10
00
00
00
00
10
00
10
10
10
11
10
01
00
00
00
10
00
10
00
01
10
00
10
11
00
10
00
01
10
10
00
10
00
00
11
10
11
00
11
00
10
01
11
00
01
10
10
10
10
00
01
00
01
01
10
01
11
10
10
10
00
10
10
00
00
10
10
00
00
01
10
01
00
01
00
00
00
10
01
01
00
11
10
11
00
11
01
00
11
01
01
10
01
00
00
00
01
10
10
00
00
10
00
11
10
00
01
00
10
10
00
11
00
11
00
11
10
01
11
11
11
01
01
11
01
00
10
10
00
10
00
00
11
10
00
10
00
01
10
10
01
10
11
00
11
00
10
11
00
00
11
10
00
11
10
00
00
10
10
01
00
11
00
01
01
00
10
10
10
10
10
01
11
11
00
00
11
10
01
11
01
01
10
00
10
10
01
11
11
00
00
00
00
01
10
11
00
11
11
10
10
00
10
10
00
00
10
00
11
10
11
00
00
00
10
01
00
01
11
00
11
00
00
10
11
01
10
01
01
10
11
01
11
10
11
00
00
11
10
01
00
00
00
00
01
10
10
00
10
00
00
11
10
10
00
00
11
01
10
00
00
00
01
11
00
00
10
11
10
10
01
01
00
00
01
10
01
01
10
10
00
01
01
11
10
01
00
11
00
01
00
10
00
01
01
10
01
00
01
10
01
10
11
11
00
10
01
11
00
00
10
10
10
00
00
00
11
00
00
10
11
00
10
00
01
01
11
10
11
10
10
00
10
11
01
10
10
11
00
01
10
00
11
10
01
11
01
10
01
01
10
01
10
00
00
00
10
10
00
01
11
10
01
10
10
00
00
01
10
01
01
01
10
00
10
11
10
00
10
10
00
10
00
00
00
10
11
11
01
00
11
00
01
00
00
10
10
10
10
00
10
01
10
10
00
00
00
00
10
10
10
00
00
11
10
00
11
00
10
11
10
11
00
10
00
01
00
11
10
00
00
10
11
00
10
10
10
00
10
10
00
10
01
11
10
01
01
01
10
11
01
00
10
11
00
01
10
11
00
01
00
11
11
00
01
11
01
00
11
11
00
11
10
00
01
00
10
11
00
00
10
10
00
00
11
10
10
10
11
00
10
10
11
11
10
00
00
11
00
11
10
11
00
00
00
10
11
00
10
00
00
10
00
00
00
00
11
11
10
01
00
10
01
10
10
01
00
10
10
00
10
10
00
10
10
00
00
10
11
10
10
10
01
11
10
10
01
11
10
10
00
01
01
10
11
01
10
01
00
11
10
01
10
11
00
10
10
00
11
10
10
01
00
10
10
00
00
10
10
00
00
10
00
00
10
00
11
10
00
11
00
01
00
11
00
10
10
01
10
10
00
00
11
11
00
10
00
11
00
11
10
00
01
10
11
10
11
11
01
11
10
11
10
00
01
10
10
10
10
00
01
11
11
01
00
10
10
11
00
10
10
00
00
10
00
10
00
10
11
10
00
10
11
11
00
00
10
10
00
00
00
11
11
00
10
00
10
00
01
11
10
00
10
10
11
10
10
11
10
10
10
00
01
00
11
11
00
00
11
00
00
00
10
11
00
00
00
10
10
01
11
00
10
00
11
00
10
00
11
10
01
11
10
00
00
10
10
10
00
00
10
00
00
00
00
00
11
01
01
11
00
10
00
00
01
11
10
00
00
10
10
00
01
10
10
01
00
11
01
00
11
10
00
01
01
10
10
01
00
00
11
10
01
00
10
01
00
11
11
11
01
01
00
00
00
10
11
10
00
00
10
10
10
00
00
00
10
11
00
01
10
00
10
00
10
00
10
10
00
00
11
10
01
10
00
11
00
10
10
00
10
00
10
00
00
00
01
11
10
00
11
00
00
10
00
10
10
10
00
00
11
10
00
00
00
11
10
00
00
00
11
10
11
00
00
11
10
01
00
01
11
10
10
11
00
11
11
00
01
10
00
11
01
00
11
00
10
00
00
00
10
10
00
10
11
01
10
10
10
10
00
10
00
00
10
00
00
00
00
10
00
11
10
00
10
11
00
10
00
00
10
00
11
10
10
10
11
01
00
11
10
10
00
00
01
01
10
10
00
00
00
00
10
00
01
00
10
10
01
10
11
10
00
10
11
01
10
01
01
11
10
10
10
00
10
10
00
01
00
01
00
00
10
11
10
00
10
11
11
00
11
11
10
11
00
11
10
01
00
11
01
00
01
00
10
11
01
00
00
01
11
00
00
10
10
11
01
11
10
00
00
10
10
00
10
00
01
11
10
10
00
00
00
10
00
01
01
10
11
10
11
11
01
00
01
00
01
10
10
10
01
00
10
11
01
10
10
01
10
10
01
00
11
00
11
00
00
00
01
11
11
01
01
10
10
10
10
01
01
11
00
00
00
10
00
00
10
10
10
11
10
11
01
10
10
00
11
00
11
11
00
10
10
11
10
00
00
10
11
11
10
10
00
00
11
10
00
00
00
11
00
01
00
11
01
10
11
00
00
11
10
00
01
00
00
10
00
00
10
00
11
10
00
01
00
10
00
10
10
00
00
00
11
11
00
01
10
10
00
11
11
00
00
10
01
11
00
00
10
10
00
10
01
00
00
11
01
10
11
00
01
10
11
01
00
11
11
01
10
10
00
00
11
01
10
11
00
10
10
10
10
11
00
01
01
11
00
10
00
10
10
01
01
01
10
10
00
01
10
01
00
10
01
10
10
10
00
00
11
10
11
01
00
00
00
00
11
11
00
00
10
11
00
00
11
00
11
00
01
00
00
10
01
01
11
10
00
11
11
11
10
10
11
00
00
00
01
10
11
10
01
01
10
10
00
00
11
10
01
00
10
00
00
10
11
00
00
11
00
00
10
00
11
01
10
11
01
01
00
10
01
01
00
10
11
11
00
00
11
00
00
10
00
10
00
00
10
10
00
01
10
00
10
10
10
00
10
10
00
10
01
01
00
00
00
00
00
01
11
10
00
11
11
11
01
10
00
00
11
00
00
10
10
10
10
11
10
00
00
01
00
11
00
11
11
01
00
01
11
11
00
00
10
10
00
00
10
10
01
00
01
11
10
00
10
01
11
00
00
01
01
01
10
10
00
11
00
00
10
11
10
01
00
11
00
00
00
10
00
01
01
10
11
00
00
11
10
00
10
00
01
00
01
10
10
00
11
01
00
10
10
10
00
10
10
00
00
00
01
10
01
00
11
10
11
00
01
11
10
00
10
10
01
10
00
01
00
01
10
11
10
01
00
10
10
00
10
10
00
00
11
10
10
00
10
00
00
00
10
10
00
10
10
10
10
10
11
00
00
11
10
00
01
00
00
01
00
11
00
10
10
00
11
10
00
00
10
10
10
10
00
10
01
00
10
10
10
00
00
00
10
11
10
01
00
11
10
11
11
10
01
00
11
00
00
10
01
10
01
10
10
01
00
10
00
10
01
10
11
01
00
10
10
01
10
00
00
01
01
11
00
10
10
01
10
01
10
10
01
00
11
10
00
00
10
10
01
10
00
00
10
10
11
10
10
00
01
11
11
00
00
00
00
01
10
10
00
00
10
00
11
00
00
10
01
01
01
11
10
00
00
00
11
11
01
00
01
10
11
01
01
11
10
10
10
01
00
00
10
10
00
00
00
00
10
10
00
10
00
00
00
11
10
11
01
01
10
10
00
00
01
11
11
00
00
10
10
01
00
10
10
00
10
11
01
01
11
10
10
11
00
00
01
10
10
00
00
10
11
00
01
00
00
10
10
10
10
00
10
10
01
10
00
11
10
10
00
01
00
01
01
10
00
01
00
11
01
01
11
11
11
10
00
10
00
01
10
10
00
00
10
10
10
00
00
10
00
11
11
00
11
00
11
10
00
10
01
10
01
11
10
00
10
10
00
00
00
00
10
10
01
10
00
00
01
11
11
00
11
01
00
11
00
00
10
01
00
10
10
00
00
11
00
01
01
00
10
11
10
11
11
01
10
10
11
10
00
01
11
10
10
01
00
10
11
01
00
01
00
10
01
10
11
01
00
11
10
01
10
10
01
00
11
00
11
10
10
00
01
00
00
10
10
01
01
01
11
00
10
10
00
01
01
00
00
01
11
10
00
10
10
00
01
00
10
10
00
11
00
10
10
00
00
11
11
00
10
11
01
10
10
01
11
10
10
00
00
10
10
10
11
11
10
00
01
11
11
00
10
10
00
10
00
00
01
10
11
00
00
10
10
11
00
10
10
00
00
11
01
11
00
11
00
10
00
00
11
11
00
11
00
01
10
00
00
00
10
10
00
10
00
00
11
10
01
11
10
00
11
11
10
11
00
10
10
11
10
00
00
10
00
11
11
00
11
00
11
01
11
10
01
00
11
11
00
01
10
10
01
01
10
10
10
01
10
11
10
11
01
00
01
00
00
11
00
00
10
01
01
10
11
10
11
00
11
00
00
10
00
10
10
00
01
11
01
01
11
00
00
11
00
00
11
10
01
10
11
01
00
11
01
00
10
00
01
01
10
01
10
10
10
00
00
10
00
00
10
10
00
10
10
11
00
10
00
10
10
00
00
01
11
10
10
00
11
00
11
01
01
10
11
10
10
01
00
10
10
11
01
10
00
10
01
00
00
01
10
01
11
10
10
00
00
01
00
11
10
10
00
11
10
10
10
00
11
00
01
11
10
01
10
10
10
10
11
10
01
01
10
11
10
10
01
11
10
10
00
00
10
10
01
01
10
11
11
10
00
10
10
00
00
10
11
00
00
10
00
00
10
10
00
10
00
00
00
10
00
00
11
00
10
00
00
01
00
10
00
01
01
11
00
00
00
10
11
00
00
10
00
10
01
01
10
11
00
11
10
01
01
00
11
10
00
00
00
10
00
10
10
10
10
10
10
00
10
10
00
00
00
01
10
11
10
00
10
10
10
00
00
10
10
10
10
01
00
10
00
00
00
11
11
00
10
00
10
00
00
11
00
10
10
11
10
10
00
10
10
00
01
00
00
11
00
10
10
11
00
01
11
11
01
00
10
10
10
10
00
00
01
10
01
00
11
10
01
10
01
10
11
10
01
00
10
00
10
10
00
00
11
10
10
10
00
10
10
10
10
00
11
00
11
01
10
00
00
01
11
11
10
10
01
00
11
01
10
11
00
00
00
01
01
10
10
00
11
01
10
11
10
01
10
01
00
10
10
10
00
11
10
01
00
00
01
10
10
00
10
10
00
10
10
11
00
11
11
10
00
01
10
01
00
10
10
00
10
11
10
00
11
11
11
10
10
00
10
11
00
10
01
00
01
01
00
11
01
10
11
01
00
11
10
00
11
00
10
00
01
10
01
01
01
00
00
00
10
11
00
00
11
00
01
10
10
10
01
00
11
00
00
11
10
01
10
01
01
00
10
11
00
01
10
10
11
00
00
10
00
00
00
11
00
10
00
10
00
00
01
01
00
10
10
10
01
10
10
00
00
10
10
01
10
00
11
00
01
01
00
00
00
11
11
11
00
01
00
00
01
01
11
10
10
10
10
10
01
11
10
11
00
00
11
00
00
10
10
00
11
11
10
10
00
00
10
00
00
01
10
10
11
10
01
10
11
10
10
01
10
10
01
10
00
00
11
00
01
00
10
00
11
10
11
10
01
00
01
01
10
01
00
10
00
10
10
00
00
11
10
00
11
10
00
11
10
01
00
11
00
00
10
11
10
00
00
10
00
00
11
10
10
00
10
00
10
00
00
10
00
00
11
10
01
00
10
00
11
00
00
01
10
10
00
10
10
00
00
01
01
01
11
00
00
10
01
10
10
00
01
11
10
00
00
11
10
10
00
00
10
01
01
10
11
00
01
10
00
10
10
01
00
00
10
00
00
00
01
10
01
10
00
10
00
00
10
11
00
01
10
01
01
00
00
10
10
00
11
11
00
01
10
00
10
01
11
10
10
00
11
00
00
01
10
11
00
00
00
11
00
10
00
01
01
10
00
00
10
10
10
11
11
10
01
01
00
00
10
10
00
11
10
01
01
00
10
11
10
10
00
00
11
11
01
11
10
10
00
11
00
11
10
00
00
01
10
00
00
10
00
11
00
10
00
00
01
10
01
11
10
00
10
00
01
01
10
11
10
10
00
10
01
01
01
10
11
00
10
00
00
10
11
10
01
00
11
00
10
10
10
01
00
00
10
00
00
00
10
00
11
11
00
11
00
00
00
10
00
00
11
11
10
10
00
00
10
01
10
10
01
11
10
10
00
11
00
11
10
10
11
10
10
01
00
01
01
10
10
00
00
00
00
10
10
01
01
01
00
00
01
10
11
01
00
10
11
01
10
01
00
10
10
10
10
01
10
01
00
11
11
11
11
10
10
00
10
10
00
01
11
00
01
01
10
00
01
01
10
10
10
00
01
11
00
10
10
10
10
10
01
00
00
00
10
00
00
10
10
11
01
00
10
00
11
00
01
11
01
10
00
01
10
11
11
01
00
10
10
00
10
10
00
00
10
10
10
11
01
00
00
00
10
11
10
00
01
11
11
00
00
10
10
11
10
00
00
01
10
10
01
01
10
11
00
11
00
00
11
00
00
11
10
00
00
01
00
00
10
00
11
00
00
10
10
00
00
01
10
00
01
10
10
10
11
00
00
01
11
10
01
00
10
10
10
01
10
00
00
11
11
10
00
00
10
10
00
11
00
10
00
00
11
00
01
01
11
01
00
00
10
10
10
00
01
00
00
10
10
00
10
00
00
10
00
01
11
00
00
10
10
01
10
11
00
10
00
11
10
10
10
10
01
00
01
00
00
00
00
10
00
00
10
00
11
10
00
11
10
11
10
11
00
00
11
00
10
11
11
11
10
00
00
10
10
10
01
01
10
11
01
10
00
10
10
00
10
10
00
10
11
00
01
11
10
11
10
11
10
10
00
11
00
00
10
10
00
00
11
10
00
11
01
10
10
00
11
00
01
01
10
10
10
10
10
00
01
10
01
01
00
10
10
00
11
00
10
10
00
01
11
01
10
11
10
01
10
00
00
10
00
10
00
01
10
11
00
10
10
01
11
00
10
10
10
00
01
00
11
10
01
01
00
10
00
01
10
10
10
10
00
11
00
00
11
01
11
10
01
00
01
10
10
10
00
11
00
10
11
01
00
10
10
01
00
10
00
01
00
01
10
10
00
00
00
10
01
00
01
11
10
00
10
00
01
10
10
10
11
10
01
01
00
00
11
00
01
11
00
11
10
10
00
00
10
00
00
10
10
10
01
01
11
01
00
00
00
10
10
11
00
01
10
00
01
00
01
10
10
00
00
01
10
11
00
10
10
11
01
00
11
00
01
10
11
10
00
10
10
01
11
11
00
01
10
10
10
10
11
01
01
00
00
01
10
11
10
10
00
10
10
11
10
01
10
10
00
10
10
00
00
10
00
00
11
10
11
11
00
01
11
10
00
10
11
00
10
10
10
10
11
00
00
10
00
10
10
10
00
00
10
00
10
00
10
00
01
10
10
00
11
10
10
10
01
11
10
00
00
01
01
10
00
11
01
00
10
10
01
01
11
11
10
00
00
00
10
00
11
11
01
01
00
01
10
10
00
00
00
10
00
00
00
11
10
10
00
10
00
00
01
01
10
11
01
10
11
11
00
01
01
10
10
01
01
10
00
00
10
10
00
01
00
00
10
00
11
10
11
11
10
00
10
00
10
01
00
10
10
01
00
10
10
10
00
00
10
11
00
11
00
10
10
00
00
00
10
10
00
00
01
00
10
00
00
10
00
01
10
01
01
10
10
11
00
10
00
01
00
00
11
10
10
00
10
10
00
10
00
00
00
10
10
11
10
10
00
00
11
01
01
10
10
01
10
11
10
11
10
10
00
01
01
10
00
10
00
01
10
00
10
10
00
01
00
01
00
01
01
10
11
10
00
00
01
10
00
01
00
11
11
00
00
10
00
00
10
00
11
00
10
10
00
00
10
11
11
00
11
00
10
10
00
00
10
11
00
00
10
11
10
10
00
01
00
10
01
10
11
01
10
01
00
11
11
10
01
01
01
10
00
00
10
11
00
00
11
10
01
11
11
10
00
00
01
00
11
10
00
00
01
00
11
00
01
01
10
10
10
01
01
01
01
11
00
01
00
00
10
01
11
00
01
10
11
00
00
10
11
00
01
00
10
00
00
10
00
00
10
10
01
10
10
01
00
10
00
10
00
10
00
10
10
00
10
01
01
00
00
10
00
00
01
10
11
00
01
00
11
10
00
10
10
11
01
11
11
00
11
10
00
00
11
11
00
00
10
10
01
10
10
00
01
11
10
00
01
11
00
11
10
00
00
00
11
11
10
00
00
10
00
10
10
10
01
01
01
11
10
10
00
01
10
10
01
10
00
00
11
00
00
10
10
00
11
10
01
11
00
10
00
00
10
11
00
01
10
11
01
10
01
01
10
10
00
00
10
10
00
10
01
10
00
11
10
00
11
10
00
00
10
10
01
11
10
10
01
01
10
10
10
00
00
11
01
10
10
00
10
10
11
00
10
10
10
00
00
00
11
01
10
10
00
11
10
01
10
11
00
00
01
10
11
00
11
10
10
00
00
10
01
10
10
10
00
10
00
00
11
10
10
00
01
01
00
10
11
10
00
10
10
11
11
01
01
00
01
10
01
10
10
00
00
10
11
10
10
01
00
01
11
10
00
10
01
10
01
10
10
01
10
10
00
01
11
00
11
10
00
00
00
10
10
01
00
10
11
10
10
11
01
01
01
11
10
00
00
01
00
10
11
10
11
00
10
00
10
10
00
01
10
00
00
00
10
10
10
10
00
00
11
10
00
00
11
00
01
01
00
11
01
10
01
00
11
10
10
00
00
00
10
01
11
10
10
00
00
10
10
00
11
10
10
10
10
01
10
01
00
00
11
00
10
00
01
10
01
00
11
11
00
01
10
01
00
10
01
00
00
11
11
00
01
11
01
10
11
00
01
00
00
10
01
00
10
11
01
11
11
10
00
01
10
11
00
00
10
00
11
00
00
10
10
00
11
10
10
01
10
10
00
11
10
11
00
10
11
00
10
11
00
00
11
11
00
10
10
10
11
10
00
01
00
11
00
01
01
10
10
01
00
11
01
00
11
00
10
10
10
00
10
00
00
00
01
00
10
10
00
00
00
10
10
11
01
00
10
01
00
11
00
11
10
10
00
11
10
00
00
01
00
00
00
10
00
00
11
11
00
00
00
00
11
00
00
00
01
01
10
10
00
11
10
00
00
10
10
10
00
00
00
11
11
10
01
00
00
11
10
10
00
10
10
01
01
11
10
11
10
01
10
01
10
01
01
10
00
10
00
00
00
00
11
10
00
10
10
01
01
00
10
11
10
00
01
10
00
10
11
00
10
11
01
00
11
00
10
00
00
10
00
10
10
00
01
10
00
10
01
00
11
10
11
10
01
11
11
01
10
10
00
00
10
11
00
00
10
10
11
00
00
10
01
00
11
11
10
10
00
01
10
00
00
11
11
00
00
10
01
00
10
11
00
01
10
01
01
10
10
10
01
00
01
10
10
11
01
10
00
10
01
10
11
10
00
00
11
00
00
11
00
00
10
11
10
00
10
00
00
01
00
01
01
10
01
11
10
00
10
10
10
10
00
00
01
10
10
00
00
00
10
00
00
10
01
10
10
10
10
01
01
00
11
01
00
10
01
01
11
11
00
10
11
10
00
10
11
00
10
10
10
01
00
11
10
10
11
00
00
11
10
00
00
10
00
10
11
00
10
11
10
11
00
10
10
01
00
10
01
10
00
10
00
01
00
11
10
00
10
10
01
11
00
00
01
11
00
10
10
01
01
11
10
11
01
01
10
00
00
10
10
00
00
00
10
11
10
10
00
11
00
10
10
11
00
01
10
10
00
01
11
10
11
01
10
00
10
01
11
10
01
00
10
10
00
11
10
10
01
01
01
11
01
01
10
01
01
10
10
00
11
00
10
10
00
10
01
10
00
11
11
00
10
10
10
01
01
10
10
10
00
00
11
10
00
01
10
00
11
10
10
01
00
01
00
10
11
01
10
00
01
10
01
10
10
00
00
11
11
01
00
10
10
00
10
11
10
00
10
10
11
10
00
00
00
01
11
10
01
00
11
00
00
00
00
00
11
10
00
00
10
00
01
10
00
00
10
10
11
10
10
01
00
11
00
11
10
10
11
10
00
00
00
01
11
10
10
00
11
11
11
11
01
00
01
11
11
10
00
11
00
01
00
01
11
01
10
00
00
10
01
01
10
01
11
00
11
00
10
11
00
00
00
00
11
01
10
00
10
10
10
11
00
10
11
00
01
10
10
00
00
10
10
00
00
00
10
11
11
00
00
11
10
10
11
00
10
10
00
10
10
00
00
11
00
11
00
11
00
00
00
00
11
10
00
00
10
10
10
00
10
10
10
11
10
10
11
00
01
01
00
00
10
10
00
10
11
11
11
00
11
00
01
01
10
00
10
10
00
11
10
01
11
00
01
10
00
11
10
10
00
00
00
10
01
00
11
00
11
00
00
00
01
00
10
10
00
11
10
01
00
11
10
00
11
00
01
11
11
01
01
10
10
11
10
10
01
00
10
10
01
00
00
10
01
10
00
10
11
00
10
10
11
11
10
00
00
00
10
10
10
10
10
00
10
01
00
00
01
10
01
10
00
10
10
10
00
01
11
10
00
10
11
10
10
00
11
11
01
01
01
11
01
01
00
00
10
10
00
00
11
10
11
11
01
10
10
10
00
00
10
00
00
11
00
10
10
11
01
10
01
00
00
10
01
10
10
11
10
11
00
11
00
10
10
00
10
10
00
00
10
11
00
10
01
00
10
01
00
10
00
10
11
11
00
01
00
11
11
11
00
01
10
10
00
00
10
00
10
11
10
10
11
00
00
10
10
01
11
00
00
11
11
01
11
10
11
01
00
11
00
01
10
00
00
10
00
00
10
10
00
00
10
10
00
01
10
10
10
01
10
01
10
00
10
00
00
11
10
10
01
01
00
01
11
01
01
10
00
00
01
11
01
10
11
11
01
01
00
10
11
10
01
10
10
00
01
00
10
10
00
11
00
00
00
00
10
01
10
10
00
00
10
00
11
00
10
01
00
10
10
10
00
01
00
01
01
11
10
01
00
00
11
11
00
01
10
10
01
10
10
00
10
11
01
10
11
01
00
11
10
10
00
00
10
10
00
01
00
10
10
10
11
10
01
10
11
00
01
00
00
10
10
10
00
01
01
10
11
00
00
10
11
01
10
10
01
00
11
10
00
00
10
10
10
10
00
01
10
01
10
10
11
10
01
00
00
10
00
00
10
10
00
10
01
10
10
01
10
00
01
00
00
01
00
11
10
00
11
10
10
00
00
01
00
00
10
10
00
01
00
10
10
01
10
10
00
01
10
00
10
11
10
11
00
00
00
11
11
00
01
10
00
01
00
01
00
10
11
00
10
10
01
00
10
10
10
11
11
00
01
01
10
01
11
00
10
00
01
10
10
00
00
10
10
00
10
10
01
10
10
00
11
10
01
01
10
11
10
00
10
00
00
10
00
00
00
00
11
10
10
00
00
00
10
01
00
10
00
10
00
01
00
00
10
10
01
10
10
11
10
01
00
00
10
01
10
11
01
00
10
10
00
00
10
10
00
01
00
00
10
10
00
11
01
00
01
10
11
10
01
10
00
00
01
10
00
00
10
10
00
01
10
11
01
00
00
10
10
11
01
00
10
10
11
10
00
11
10
11
01
10
00
00
00
00
11
10
11
10
10
00
00
10
11
11
01
00
11
00
00
00
10
00
10
10
10
10
11
01
10
00
00
00
10
11
00
00
10
11
00
00
11
10
00
10
11
01
11
11
10
00
10
11
00
00
00
10
10
11
01
01
10
00
11
10
00
11
00
01
00
01
10
01
00
11
00
01
01
10
10
00
00
00
10
11
00
00
00
00
11
00
00
10
01
00
11
00
11
00
00
00
10
10
00
11
11
00
10
11
00
00
10
01
10
00
10
10
00
10
00
11
00
00
00
10
11
00
00
00
11
11
00
11
10
10
01
00
00
01
11
00
11
10
11
11
01
00
11
00
00
11
11
01
11
00
00
00
10
11
10
00
01
10
00
10
10
00
01
00
10
10
11
10
00
00
00
00
10
10
10
10
11
01
00
10
10
11
01
10
00
01
10
10
00
10
10
11
00
00
10
00
01
00
10
10
10
00
00
10
11
01
11
00
10
10
00
11
01
00
10
00
00
10
00
01
10
11
01
10
10
00
00
00
00
00
11
10
10
01
10
11
00
01
01
00
10
11
11
00
10
11
00
00
00
11
00
10
00
01
10
01
00
11
00
01
00
10
00
01
00
10
00
00
01
00
00
10
11
10
10
01
10
10
11
00
01
00
00
10
00
00
11
10
01
10
01
00
00
10
00
00
11
00
00
00
11
01
00
10
11
00
00
11
11
11
00
10
10
00
01
11
00
00
00
10
00
00
10
10
10
01
10
01
00
11
00
00
00
11
00
00
00
01
00
00
11
00
10
11
01
11
11
00
10
00
01
10
11
01
11
11
11
00
00
11
11
10
00
01
10
10
00
01
10
11
01
00
10
00
01
10
00
01
00
01
11
11
10
01
01
10
01
00
10
00
01
10
11
01
00
10
00
01
00
10
10
10
10
11
10
01
00
11
10
00
00
10
11
01
00
11
10
10
10
10
10
00
00
10
10
00
10
00
01
11
10
11
11
00
10
00
10
10
00
00
01
10
10
00
01
10
11
00
01
10
00
01
11
10
00
00
10
01
10
10
01
01
11
10
10
00
01
10
10
11
01
10
10
00
01
00
10
00
10
00
00
11
01
00
01
00
01
10
00
11
00
10
10
00
00
10
11
00
10
00
00
10
11
11
10
11
11
10
10
00
10
10
10
00
10
10
00
11
00
00
11
00
00
10
00
10
00
00
10
11
10
01
10
00
11
11
10
01
10
00
00
11
00
10
00
01
00
10
00
11
10
10
10
10
00
11
10
01
10
00
11
00
00
10
01
00
00
10
11
00
00
00
10
10
11
00
11
00
10
10
00
00
10
10
00
10
00
10
00
01
00
01
10
01
00
11
00
10
10
10
00
10
00
00
00
10
00
10
10
11
00
00
10
11
11
01
00
10
11
01
10
10
10
00
11
00
10
10
00
00
00
10
00
00
10
01
00
01
00
10
00
11
00
10
11
01
01
10
11
01
11
00
01
10
11
10
00
10
11
01
00
01
11
00
01
01
11
10
10
10
10
00
00
10
00
01
11
10
11
00
10
00
11
10
10
10
01
00
10
01
00
00
11
10
10
00
00
10
10
11
00
11
10
00
00
00
00
10
11
10
00
10
00
00
10
01
10
01
10
11
10
01
10
11
01
00
10
10
11
00
00
00
00
10
00
10
10
10
10
00
01
10
00
00
10
11
10
01
00
10
10
01
00
10
10
00
00
10
10
10
01
11
10
10
00
10
10
01
10
11
11
11
01
10
01
11
00
00
00
00
10
10
10
01
01
10
01
01
00
00
00
10
01
11
11
00
01
11
00
10
01
10
11
00
00
10
01
11
10
00
00
00
00
10
01
01
11
10
01
10
00
00
10
01
00
10
11
00
00
10
00
10
01
10
11
10
10
11
00
10
10
11
00
10
10
01
00
10
00
10
10
00
00
10
10
00
00
10
01
00
00
10
00
10
00
00
10
10
00
00
00
11
00
10
00
01
10
10
01
00
00
00
00
10
10
00
00
00
10
01
10
11
10
01
10
10
11
00
10
10
11
00
01
10
10
10
01
01
11
10
10
10
01
00
00
10
10
00
01
00
01
11
10
00
00
01
11
10
01
11
00
11
00
10
11
00
01
10
00
01
10
10
01
10
11
00
10
00
11
10
00
01
10
11
00
10
00
00
10
00
01
10
11
00
11
10
00
10
00
01
00
10
10
10
00
01
00
10
11
10
10
10
11
10
00
01
00
01
10
10
10
11
00
10
00
00
01
10
10
10
00
11
10
01
00
10
11
11
10
00
01
11
10
10
00
01
10
11
01
00
00
10
00
00
10
10
00
11
00
11
00
00
10
00
00
10
11
00
01
00
10
10
11
10
01
10
11
10
00
00
00
10
00
10
10
10
00
00
00
00
01
11
11
10
00
11
00
00
01
10
01
10
10
00
10
00
00
11
11
10
11
00
11
00
11
11
10
11
00
11
10
01
01
10
11
00
10
00
10
10
10
00
00
11
10
01
00
01
10
00
00
01
11
10
01
01
11
11
10
00
00
01
01
10
10
00
00
10
10
10
00
00
11
10
10
11
01
01
01
10
00
01
01
10
10
10
11
00
01
00
11
10
10
01
10
00
11
10
00
11
10
10
00
01
10
00
10
00
00
01
10
11
00
01
10
00
00
01
01
11
10
01
10
01
00
00
10
11
10
00
00
10
00
00
01
10
01
10
00
01
00
01
01
00
10
10
10
10
10
00
00
00
10
10
11
01
10
01
00
00
11
01
01
11
10
00
10
10
01
10
10
11
00
01
00
10
10
01
00
00
10
11
01
10
11
11
10
10
00
01
11
10
00
00
10
00
10
00
10
10
01
10
01
00
11
00
00
10
10
01
00
11
01
00
10
00
01
00
10
10
10
10
00
10
00
01
11
10
00
10
00
11
10
00
00
00
10
00
01
10
01
10
01
10
10
11
10
10
00
00
10
00
01
10
10
00
01
00
00
00
10
11
00
00
10
10
11
01
00
00
11
01
01
10
00
01
10
11
00
00
11
11
10
00
00
10
00
11
11
00
10
10
01
01
10
10
01
00
11
00
11
10
10
00
01
11
11
00
01
11
00
11
10
10
00
10
11
00
01
10
10
10
10
01
01
10
00
01
11
01
01
00
11
11
00
10
10
10
01
10
00
00
10
11
10
10
10
00
10
11
01
01
01
11
00
00
00
10
10
00
00
11
10
00
11
00
01
01
10
11
10
00
01
10
10
00
11
10
00
11
10
00
00
01
10
01
00
10
01
10
01
01
10
00
10
10
11
10
00
10
10
00
00
01
11
10
00
10
00
11
00
00
00
11
10
00
00
11
01
10
00
10
00
01
11
11
11
00
00
00
01
00
10
00
00
01
10
00
10
00
10
10
01
11
11
11
10
01
00
10
10
00
00
01
10
10
01
11
00
01
11
10
11
10
00
01
00
11
00
11
11
10
10
00
10
10
11
00
00
00
10
00
10
10
00
10
01
10
10
10
01
10
10
10
00
10
10
11
10
00
00
00
00
10
10
01
00
00
00
11
10
00
11
11
11
10
01
00
11
10
01
11
10
00
01
01
10
10
00
10
00
00
00
11
00
00
10
00
00
11
00
11
01
00
10
00
10
11
00
00
11
10
10
00
10
10
11
10
00
11
10
00
10
10
00
10
10
00
11
11
00
11
00
11
01
11
10
01
10
10
10
00
00
11
11
01
01
10
01
00
10
11
10
10
00
00
00
00
10
11
11
01
00
00
00
10
11
11
01
10
11
11
01
01
01
10
10
00
10
10
01
00
10
00
01
10
00
10
00
10
10
00
10
00
00
00
00
10
00
10
10
11
00
10
10
00
01
10
00
10
10
00
10
10
01
00
11
10
10
11
00
00
10
11
10
11
01
00
00
10
01
10
10
00
10
10
10
01
01
11
10
00
10
11
10
11
00
10
10
00
00
00
00
10
11
10
00
01
10
01
00
01
01
11
10
11
10
11
10
01
10
10
00
00
01
00
11
11
00
11
01
00
10
10
00
00
11
11
10
11
00
00
10
11
00
00
10
10
01
00
10
11
00
11
00
10
11
00
01
10
01
00
10
00
10
10
00
00
10
00
10
10
00
10
00
10
00
00
10
00
11
10
10
10
10
11
10
11
10
00
00
01
00
10
11
01
11
11
00
10
00
01
10
10
00
01
01
10
00
00
00
01
10
10
01
00
10
11
11
01
10
00
01
00
10
10
00
00
00
00
11
10
00
00
00
00
01
11
10
00
11
11
11
10
01
10
01
10
01
00
01
00
10
11
01
10
11
10
11
01
01
11
10
00
00
10
00
11
11
00
00
10
00
10
01
00
00
00
10
00
11
10
11
00
01
01
01
10
11
00
01
00
10
10
00
00
11
10
00
10
00
00
10
00
10
10
10
00
10
01
00
01
11
01
00
00
10
11
01
00
10
11
10
10
01
01
00
00
10
10
11
00
00
10
10
01
11
11
01
01
01
10
11
00
10
00
01
10
11
10
01
10
00
10
01
11
10
00
00
01
11
01
11
11
11
00
11
10
00
01
11
10
10
10
00
11
10
00
01
10
11
00
00
01
00
10
00
10
10
10
10
01
00
10
11
10
01
00
11
00
00
10
10
10
01
01
00
10
10
10
00
10
10
00
10
00
01
10
00
10
10
00
01
00
01
00
10
00
00
11
00
10
01
10
10
10
10
00
10
11
10
10
01
11
01
11
11
01
01
10
00
01
11
00
01
10
11
10
01
10
10
01
01
00
10
10
00
10
10
10
01
01
10
00
01
10
10
01
11
10
01
10
10
00
01
00
00
00
10
01
10
10
10
11
00
10
00
10
00
10
11
11
00
11
00
00
11
01
00
11
00
00
00
10
11
10
01
10
11
10
00
00
00
00
11
00
00
01
10
00
10
11
11
00
10
11
01
00
01
11
10
01
10
10
00
10
01
00
00
11
10
10
01
10
01
00
10
10
10
01
00
01
10
00
01
10
01
00
11
00
10
10
10
10
00
00
10
00
10
10
00
10
00
10
10
10
01
10
10
11
00
00
11
00
00
01
10
10
00
01
10
10
00
00
00
10
00
01
01
11
00
01
01
10
01
10
10
01
10
11
01
10
00
11
00
01
10
10
11
00
10
00
00
10
11
01
00
01
00
11
10
10
00
00
10
11
10
00
10
00
00
10
10
10
10
00
00
10
11
11
11
00
00
10
10
10
10
10
01
11
11
10
10
00
00
10
10
11
01
11
10
10
01
00
01
10
10
00
00
10
11
10
00
11
10
10
00
10
11
10
00
00
11
10
00
10
01
10
10
10
10
10
10
10
01
11
00
00
00
00
00
00
10
10
00
00
00
11
10
01
01
01
01
01
10
10
00
00
11
11
00
00
10
11
11
01
00
00
10
10
10
00
01
10
00
10
00
01
01
00
11
10
01
00
10
00
10
10
00
11
11
01
11
11
11
00
01
10
11
00
01
00
11
11
00
11
11
10
01
10
00
00
10
10
10
11
00
01
00
10
10
10
00
01
11
11
00
11
10
01
10
00
11
10
01
00
00
00
00
11
10
10
00
11
11
10
00
01
10
00
10
10
00
00
11
01
10
10
01
00
00
00
01
10
00
01
10
00
01
01
11
10
10
01
10
10
01
11
10
10
10
00
00
10
10
11
00
01
00
00
00
10
00
00
11
00
00
10
00
10
01
10
11
10
11
00
10
10
01
11
11
01
01
10
00
00
00
01
00
10
10
01
00
00
11
01
00
11
10
10
10
10
00
10
00
00
00
00
11
00
10
01
00
01
01
01
00
00
10
10
10
00
00
10
11
10
10
01
01
10
10
01
10
11
10
10
00
00
00
01
00
10
00
11
11
01
00
01
11
11
01
00
11
00
01
00
10
10
00
10
11
11
10
00
00
00
00
00
10
11
00
01
10
10
10
01
00
01
10
11
00
00
11
00
10
11
01
10
00
10
00
11
10
10
01
00
10
00
11
00
00
10
10
10
00
10
01
10
00
10
10
10
11
00
00
10
00
11
10
10
10
00
00
10
00
00
11
00
11
10
10
10
10
00
00
00
10
00
10
01
00
10
00
01
00
10
00
10
11
00
00
10
10
10
00
00
10
11
11
01
00
10
11
00
00
10
01
00
10
11
11
11
01
00
01
01
01
11
00
10
10
10
00
01
11
10
11
00
00
01
10
10
00
01
10
01
10
11
00
00
00
10
10
00
10
11
10
00
00
01
00
01
10
10
10
01
01
01
00
10
11
10
11
00
11
11
00
10
10
10
01
10
10
10
00
10
00
00
00
01
11
11
10
10
00
10
11
00
11
11
01
00
10
00
01
11
00
10
10
01
01
01
10
01
10
00
11
10
00
10
10
10
10
00
00
10
11
00
00
10
11
11
00
10
00
11
00
00
10
01
11
10
10
11
00
00
11
10
00
00
11
00
10
10
10
11
10
01
11
00
00
10
10
00
00
01
00
01
10
00
00
00
11
10
10
00
00
01
11
01
00
10
01
11
10
01
01
10
10
00
00
10
10
10
01
11
01
11
00
00
10
11
10
00
01
10
11
00
00
00
10
10
00
01
00
00
01
10
10
01
01
01
11
10
11
10
00
10
01
01
01
11
10
10
01
01
10
11
00
01
00
00
00
11
11
10
01
01
11
10
00
11
10
00
01
11
01
01
00
00
00
00
10
01
00
10
10
00
01
10
10
00
00
11
10
10
01
00
11
00
01
00
00
00
00
01
00
10
10
01
01
00
00
10
11
00
11
10
01
01
11
00
00
10
11
01
10
10
10
01
00
10
10
00
10
01
00
10
10
10
10
10
01
01
11
10
01
10
10
00
00
10
11
10
00
11
10
01
11
01
00
10
01
10
11
00
11
00
10
00
00
11
11
00
00
01
00
10
11
10
10
10
00
00
00
00
01
00
00
01
00
01
00
10
00
10
00
00
01
00
00
10
00
10
10
11
00
11
10
11
10
10
11
01
00
00
10
10
10
00
10
01
10
10
10
10
00
10
11
00
10
10
10
10
00
10
10
10
01
00
11
00
11
00
00
00
00
10
11
11
00
01
01
01
10
10
00
00
01
10
01
00
00
00
01
10
00
01
10
11
10
10
11
10
01
00
00
11
00
10
11
10
01
10
10
00
10
01
01
10
10
11
01
00
11
00
00
00
00
11
00
10
10
10
10
10
01
00
10
10
10
11
10
01
00
10
11
10
01
00
10
10
10
10
00
00
10
00
00
00
00
10
00
00
10
00
00
01
00
01
00
10
01
10
10
10
10
01
00
10
00
10
10
01
10
10
00
01
00
00
10
11
10
00
11
10
10
10
00
00
11
10
11
10
11
01
00
11
00
11
00
00
11
10
11
10
10
00
00
10
10
00
00
00
00
00
00
01
11
01
10
11
10
11
00
11
11
00
00
10
00
00
10
00
10
00
01
11
00
11
11
00
10
00
10
11
11
11
11
11
00
01
10
01
00
00
10
10
00
00
10
10
11
10
10
00
00
10
00
11
00
10
10
11
10
01
10
00
01
11
10
10
00
00
01
00
00
11
10
11
11
01
00
00
00
00
00
00
11
10
10
01
11
00
11
01
00
00
11
00
01
10
11
11
01
10
11
00
01
10
11
00
10
00
10
00
00
00
11
10
00
00
00
00
00
11
10
10
00
10
00
01
10
11
00
01
11
00
01
10
10
00
10
11
00
00
00
00
10
00
00
01
10
11
10
01
00
10
10
01
10
11
00
00
01
10
10
00
01
00
11
10
11
00
00
00
00
00
11
00
00
10
01
10
00
10
11
00
11
10
10
00
11
11
10
10
01
11
10
00
10
11
00
10
10
00
11
00
00
01
00
00
01
00
10
00
01
10
00
00
10
10
01
00
01
10
10
00
11
00
11
01
01
10
11
11
01
01
11
01
10
00
01
10
10
00
00
00
00
11
11
01
00
00
10
11
00
01
00
10
11
01
01
10
00
01
10
00
01
10
10
01
10
10
01
00
10
11
01
00
10
10
10
00
01
10
00
00
00
10
10
01
00
00
10
00
10
11
01
10
10
00
01
01
00
10
10
00
01
10
01
01
10
10
10
10
00
10
10
01
00
10
00
00
00
10
11
01
00
00
00
10
10
11
00
10
10
00
01
00
00
11
10
10
10
11
00
00
11
01
10
10
01
00
10
01
00
10
01
01
10
10
00
10
10
00
11
00
11
00
10
01
01
10
10
01
01
01
01
11
00
10
00
00
10
10
00
11
00
01
10
01
00
11
11
10
10
01
00
11
11
01
00
10
11
01
10
10
01
10
00
11
10
00
11
01
00
11
00
00
10
10
00
00
00
10
10
10
10
10
00
00
10
11
01
11
01
00
10
00
10
01
00
11
01
01
10
01
01
10
11
00
00
10
00
00
10
00
00
01
10
11
01
10
00
00
00
11
00
10
10
11
00
00
00
00
00
00
11
10
01
11
00
01
11
10
00
01
10
01
11
00
00
10
00
00
01
10
10
10
10
11
01
11
00
01
11
10
01
10
00
01
00
10
01
01
10
11
00
10
10
10
00
00
00
11
11
11
10
00
00
00
10
10
00
00
00
00
11
10
01
00
10
01
00
11
00
10
11
01
00
01
10
11
00
00
00
00
11
10
10
01
10
11
00
00
00
11
11
00
10
01
11
10
10
01
00
11
00
00
11
10
01
01
11
10
10
00
00
00
10
11
00
00
00
10
00
00
10
10
11
00
00
01
11
11
10
01
11
00
00
00
10
00
00
11
10
00
00
10
10
10
00
00
10
11
01
00
01
00
00
10
00
00
11
10
10
10
10
01
10
11
10
00
11
10
11
01
01
11
00
10
01
01
11
10
00
00
00
11
10
00
00
00
10
00
00
10
10
11
01
00
10
11
01
00
11
01
00
00
10
10
11
10
00
00
10
10
10
00
00
10
10
10
01
10
11
10
00
00
10
10
10
00
00
10
01
01
11
01
10
10
10
01
10
00
00
10
10
10
00
10
00
00
00
11
00
00
11
01
10
11
01
10
00
00
10
10
00
00
11
01
11
10
00
00
01
10
11
00
11
11
01
10
11
10
01
11
11
00
00
11
11
01
01
11
00
00
11
00
10
10
00
10
00
00
00
11
11
00
00
10
00
10
10
00
10
10
00
11
00
10
00
00
10
01
10
10
00
00
11
00
00
10
01
00
01
00
00
11
11
11
01
00
11
11
00
10
11
00
01
10
01
01
10
01
00
10
10
10
00
10
00
00
01
11
11
10
00
10
10
01
00
10
10
01
00
11
00
01
10
00
10
10
11
10
00
00
10
00
00
10
00
11
10
11
11
11
00
00
00
10
10
00
11
00
01
00
00
10
00
11
01
10
10
00
10
00
11
00
10
10
00
00
00
10
10
00
00
00
11
10
10
10
00
10
01
10
10
11
01
10
01
10
00
10
11
00
00
11
11
00
00
11
00
00
01
01
00
00
00
11
10
00
00
10
00
11
10
11
10
00
11
11
00
01
00
11
10
00
01
11
11
11
01
01
01
10
01
01
10
11
00
01
10
10
00
10
10
00
01
10
10
01
00
11
10
10
11
00
10
10
11
00
10
10
10
10
01
01
00
00
11
00
00
01
11
10
00
10
10
10
01
10
10
01
00
10
00
01
10
10
01
01
10
10
11
00
00
01
00
10
00
01
00
10
11
00
10
10
01
10
11
00
10
11
00
11
00
10
10
11
00
11
10
00
10
01
00
10
00
00
10
11
10
01
00
11
11
01
10
11
10
10
11
11
01
00
00
10
01
10
00
00
10
10
10
01
00
10
01
10
01
10
11
00
10
01
01
00
11
00
00
10
01
10
00
00
10
10
00
00
10
11
00
10
00
00
00
00
01
10
11
01
00
00
10
10
10
10
00
00
11
11
01
10
01
10
01
10
10
00
00
11
10
10
10
10
10
00
00
00
00
10
11
00
01
10
10
11
10
10
00
10
00
00
10
00
00
01
10
10
01
10
10
10
00
10
01
00
01
10
10
00
11
10
01
01
11
10
00
10
10
11
10
00
01
00
11
10
01
10
01
00
10
10
10
10
01
01
10
01
01
00
00
00
10
10
10
00
10
11
00
00
10
01
01
01
01
11
00
00
00
10
00
00
01
10
01
00
10
00
01
00
10
00
10
00
00
11
00
10
11
10
01
10
11
00
11
01
11
10
01
00
10
11
00
10
10
01
01
00
00
10
11
11
01
00
01
11
00
10
10
10
00
00
10
11
10
00
10
10
10
10
01
00
10
11
00
01
10
11
00
01
00
10
10
01
01
10
10
00
00
10
10
00
11
00
01
01
10
10
00
10
10
10
00
00
11
10
01
00
11
00
11
01
10
10
01
00
00
00
00
11
10
01
11
10
10
10
00
10
10
01
10
11
01
00
11
00
00
01
10
10
01
00
00
00
00
01
10
00
10
01
00
11
10
10
11
10
01
10
10
00
01
10
10
10
00
01
11
00
00
11
10
10
10
10
00
00
00
01
00
11
00
01
01
10
01
10
00
00
11
11
11
11
10
01
10
10
00
00
00
10
10
01
11
10
00
00
01
10
10
00
10
00
10
10
01
10
01
00
11
10
01
00
11
00
10
01
00
10
10
00
00
01
11
11
11
10
11
00
10
11
11
01
11
00
00
10
10
10
01
00
10
00
01
11
10
00
01
10
01
10
01
10
10
01
10
10
00
10
10
00
01
10
11
11
00
00
11
10
00
00
10
11
00
00
10
01
10
10
00
01
11
01
11
00
01
00
01
10
00
01
10
11
10
11
00
10
10
00
10
10
00
00
00
00
11
00
11
10
00
00
11
10
00
10
10
10
10
00
00
00
11
10
00
01
10
10
00
10
00
00
10
00
00
10
10
10
10
11
00
10
01
00
10
10
10
00
11
10
10
00
11
10
01
00
11
00
00
10
11
01
00
10
10
01
10
00
10
00
00
01
10
11
01
00
11
01
11
10
10
01
11
10
01
00
00
10
00
11
00
00
10
00
11
10
00
11
10
00
00
00
01
10
10
11
10
10
10
11
00
00
10
10
00
00
11
01
10
11
11
01
00
10
00
00
00
01
10
11
11
11
00
10
11
00
01
10
11
00
00
00
11
10
01
01
00
01
10
11
10
10
00
00
00
10
11
00
00
00
00
00
00
00
10
00
00
10
10
00
10
00
10
10
01
00
11
00
10
00
10
00
01
01
01
10
10
10
01
01
00
00
10
10
00
00
11
01
01
10
10
10
00
00
00
01
11
00
10
01
00
01
00
10
00
10
10
01
10
11
10
10
00
00
10
11
00
00
00
11
01
11
10
00
10
11
10
11
00
00
10
10
10
10
00
11
11
01
01
11
10
11
00
00
11
10
01
00
00
10
01
00
00
10
10
01
00
00
10
10
00
00
10
11
01
11
10
01
00
00
00
01
10
01
00
10
10
11
10
00
10
10
01
10
10
01
00
11
00
01
11
10
00
00
00
10
10
00
01
11
10
00
10
01
10
10
00
10
11
11
00
11
10
00
00
10
10
10
00
00
10
01
01
00
01
10
10
01
00
11
10
01
00
10
01
10
00
00
10
10
00
11
11
11
10
10
10
11
11
01
00
10
01
01
11
01
10
00
01
00
10
10
00
00
10
10
11
01
10
01
00
01
01
11
10
01
00
10
01
00
11
10
01
01
10
00
00
01
00
00
10
01
00
01
10
01
00
10
10
00
01
10
11
01
00
10
11
11
01
00
11
11
10
10
01
01
10
11
01
00
11
10
10
11
00
01
11
11
01
10
10
00
00
01
10
10
10
10
11
01
01
11
00
00
11
11
10
00
00
10
10
10
10
00
00
10
11
01
01
00
10
00
00
10
11
00
00
00
11
01
10
00
01
10
11
10
00
11
00
10
00
10
10
11
10
00
00
11
11
10
01
10
00
10
01
01
10
01
00
10
00
01
11
10
01
10
10
11
00
10
00
01
00
01
01
10
11
01
00
01
00
10
10
01
00
01
00
10
10
00
10
10
00
00
01
00
00
00
11
00
10
00
10
10
01
10
00
01
00
00
10
10
11
00
00
10
11
10
00
00
01
10
10
10
11
01
00
00
01
10
10
10
00
00
11
10
00
01
00
01
10
00
00
10
00
10
00
01
11
10
11
00
00
10
10
10
00
10
10
00
00
01
11
11
01
00
00
11
10
11
00
01
00
01
10
10
10
00
10
10
00
01
00
11
00
00
11
00
10
11
11
00
00
00
10
10
10
01
01
10
11
11
10
01
11
10
00
10
10
00
01
10
10
11
00
00
01
10
11
01
01
01
00
10
00
11
01
10
10
00
01
00
01
10
10
00
11
00
10
00
01
10
00
00
11
10
01
01
10
00
11
10
00
00
10
10
10
10
00
01
01
11
00
10
00
01
00
10
10
01
10
01
10
10
11
00
10
00
00
10
01
11
01
11
10
00
01
01
00
01
10
11
11
10
01
00
11
10
00
01
10
00
00
01
11
10
01
10
00
00
10
10
11
10
10
10
10
10
10
10
00
00
10
00
10
01
11
11
10
00
00
10
10
10
00
10
10
00
11
00
00
11
10
10
01
10
10
00
00
00
00
10
00
01
00
10
10
10
11
10
10
11
01
10
10
00
01
00
11
10
10
01
11
10
00
10
10
10
11
01
00
00
00
11
10
00
01
00
10
10
00
10
00
10
00
10
10
00
11
10
11
10
01
11
00
00
10
10
01
01
11
10
00
01
01
01
10
10
11
10
10
10
01
00
00
10
00
10
01
01
11
00
00
00
00
10
00
10
10
01
11
11
11
01
10
01
10
10
10
01
00
00
10
10
00
10
00
00
00
11
01
10
01
10
11
10
10
00
01
11
11
00
00
11
10
11
10
00
00
10
10
10
11
00
01
10
10
10
01
10
10
01
00
00
10
01
01
01
11
00
10
00
11
00
00
10
10
10
10
00
00
01
11
10
10
00
11
00
10
10
00
00
11
01
00
00
11
10
00
01
11
10
00
11
11
00
00
01
10
10
10
10
01
10
11
00
00
00
10
00
01
11
10
11
11
00
00
01
11
11
01
00
10
10
00
00
00
10
11
00
00
10
10
01
11
10
11
00
00
00
00
11
10
01
11
10
11
10
10
00
01
10
10
00
00
11
00
11
11
00
01
00
00
10
11
00
01
10
10
10
10
10
00
10
10
10
00
10
10
11
10
11
10
01
01
00
00
00
10
10
10
10
00
01
01
01
10
00
00
00
10
10
01
00
11
10
01
10
11
00
00
00
01
01
11
00
01
10
10
00
00
10
00
00
11
10
00
00
10
00
10
10
10
01
10
00
01
00
10
00
00
01
00
10
00
10
00
00
00
11
01
00
11
01
11
10
10
00
10
10
00
11
01
00
10
10
00
01
10
00
10
00
00
11
00
10
01
00
11
11
10
00
00
10
10
00
00
10
00
00
00
10
11
10
00
01
00
10
00
10
01
00
10
10
00
00
00
10
10
01
10
11
01
11
10
10
00
11
00
00
10
11
10
01
00
00
10
10
00
00
01
01
00
11
11
10
10
10
00
00
00
11
11
01
00
01
11
00
01
01
10
10
10
00
00
10
00
11
10
00
10
11
01
00
10
00
00
00
00
01
10
10
00
01
10
10
01
01
00
11
10
11
00
00
00
10
00
00
11
11
11
01
10
01
10
00
00
10
01
10
11
00
01
10
10
10
11
10
10
10
01
00
10
01
00
11
01
00
10
00
10
00
00
10
10
10
00
00
10
10
00
00
00
10
00
10
11
10
00
10
00
11
10
01
10
00
00
01
11
10
00
10
00
00
10
01
01
11
00
11
01
01
01
10
10
00
01
11
10
01
00
01
00
11
01
10
10
00
10
10
00
01
10
00
10
11
00
10
00
01
10
01
00
01
11
11
00
11
01
01
10
10
10
00
10
10
00
00
10
01
00
01
10
01
11
11
10
10
01
01
10
10
01
00
11
10
10
00
01
01
01
10
10
00
00
00
10
01
00
10
01
11
00
01
01
00
11
00
01
10
10
00
00
11
10
11
00
10
10
10
10
00
00
11
00
11
10
01
00
10
00
01
10
01
11
10
10
00
10
00
00
10
00
10
10
00
00
00
11
00
01
10
11
01
00
10
01
10
01
10
10
00
00
10
10
00
01
00
11
10
00
11
10
00
10
01
00
10
10
10
11
00
10
10
00
00
10
00
10
00
00
10
11
01
00
00
10
10
00
00
10
01
00
01
01
00
10
00
10
10
11
00
01
01
01
10
00
11
10
01
01
01
10
10
00
11
00
00
10
01
00
10
11
10
11
10
00
10
10
10
00
01
11
10
00
10
01
10
00
10
00
01
11
11
00
10
00
11
11
00
10
10
00
10
01
11
00
10
11
01
10
00
01
00
10
10
10
01
01
11
01
00
10
10
11
00
00
00
00
10
10
10
00
00
00
11
01
00
00
11
01
00
10
10
10
00
01
10
10
00
10
10
10
00
11
10
01
01
11
11
01
00
10
10
01
00
00
11
10
11
11
10
00
00
10
10
10
00
01
11
01
01
10
10
11
11
00
10
11
00
00
10
00
01
00
10
11
10
10
10
01
01
11
10
11
00
00
01
10
01
00
00
10
11
00
01
00
11
10
10
11
01
01
00
11
10
01
00
11
10
10
01
00
00
10
00
10
10
01
11
11
11
10
01
01
10
01
00
10
11
10
00
10
10
00
10
01
00
00
11
10
01
11
11
00
11
10
11
10
01
01
01
10
10
00
00
10
00
10
10
01
10
10
10
11
01
00
01
01
00
10
11
10
00
10
00
00
01
00
10
00
01
10
11
00
00
01
00
10
11
00
00
00
10
00
00
11
01
10
00
10
10
10
10
01
11
00
00
00
10
10
10
10
01
11
01
10
10
10
00
10
10
00
00
00
10
01
00
01
00
00
00
10
00
00
11
11
01
01
00
11
10
00
00
00
10
10
00
00
10
00
11
10
11
10
10
01
00
00
11
11
00
10
00
10
00
00
00
11
10
00
10
01
00
10
10
00
00
01
11
01
00
11
00
10
10
00
10
10
01
01
00
00
01
00
00
11
10
11
10
00
00
10
10
01
00
11
11
00
00
00
11
10
11
00
00
00
11
00
00
00
10
01
01
00
01
01
11
00
01
01
00
11
11
00
00
01
10
10
00
00
10
00
00
00
00
10
00
10
01
10
11
11
10
10
11
00
00
00
11
11
10
01
10
01
01
01
11
00
00
10
10
00
01
10
10
00
11
00
10
10
00
10
00
10
01
10
11
01
10
11
00
00
00
11
10
00
00
11
10
10
00
01
01
11
11
00
10
00
10
11
00
10
11
01
01
00
11
11
01
10
10
00
00
00
10
00
00
01
10
10
01
10
11
00
01
00
10
11
00
00
10
11
01
00
00
10
10
10
01
00
00
11
10
10
11
11
00
11
10
00
11
11
01
00
11
00
11
10
10
00
10
01
00
11
01
10
00
10
10
00
01
10
10
10
10
00
10
00
10
10
00
10
00
00
10
10
01
00
10
10
11
01
11
10
00
01
10
00
01
10
10
01
10
00
11
11
00
11
10
00
00
10
11
00
00
00
01
11
11
11
00
11
11
10
10
01
00
11
01
00
00
11
10
10
01
10
11
10
00
01
00
11
00
01
10
00
01
10
00
10
00
00
10
10
00
10
10
00
00
01
00
01
11
11
00
00
10
10
10
00
10
10
01
00
01
11
10
01
00
00
10
10
01
00
11
11
11
11
01
01
00
01
10
00
00
10
10
10
01
10
00
00
11
00
10
01
00
10
00
10
00
10
10
00
00
10
10
01
00
11
00
00
00
10
01
10
10
00
01
00
11
10
10
00
00
00
11
01
10
10
01
00
11
01
01
00
01
00
00
00
10
10
01
10
10
10
11
11
10
10
01
00
11
00
10
00
10
10
00
11
10
10
01
00
10
11
00
01
01
11
10
11
11
10
11
01
01
00
10
10
10
11
00
00
10
10
00
00
11
10
00
10
00
01
00
00
11
10
00
11
00
10
10
10
00
01
11
00
00
11
01
01
10
10
11
10
00
00
01
10
00
10
00
10
10
00
00
00
10
11
10
10
00
00
10
01
01
10
01
01
00
00
11
01
00
01
11
11
10
10
10
01
00
00
00
11
10
10
00
01
00
01
11
10
11
11
00
10
00
00
10
11
00
10
11
00
10
00
01
01
10
11
01
01
00
00
10
00
00
10
10
01
00
10
10
11
10
00
00
10
00
10
10
01
00
11
00
00
00
00
11
11
10
00
10
01
11
00
00
01
10
10
01
10
00
11
01
00
11
10
00
11
10
10
00
01
10
01
01
10
10
01
10
01
10
10
00
11
00
00
10
10
10
00
00
10
10
00
01
10
00
01
10
10
10
00
01
00
10
00
00
11
00
11
10
00
00
10
01
00
11
10
10
01
00
00
10
11
10
00
01
01
00
10
10
10
10
10
10
11
00
11
11
00
00
11
10
00
10
10
10
00
00
00
10
00
01
10
01
10
00
00
00
01
11
10
11
00
01
10
00
10
10
00
10
11
00
00
10
11
11
00
00
00
11
10
11
00
10
10
10
10
11
01
00
10
00
00
00
01
10
10
00
01
00
10
11
00
10
11
10
01
01
10
01
01
10
01
10
11
10
10
01
10
10
00
00
10
10
10
11
01
11
10
00
01
11
11
01
00
10
10
10
00
01
10
11
00
00
00
10
11
00
01
11
10
11
10
01
01
10
00
10
10
00
00
11
00
10
11
01
01
00
10
00
00
01
10
00
00
10
11
01
11
10
00
00
10
11
00
01
01
11
11
00
10
10
00
10
10
00
01
10
10
00
10
10
10
11
00
01
11
10
10
01
10
00
00
10
01
01
11
11
10
00
10
00
11
00
01
10
00
00
10
00
10
10
00
10
10
10
00
10
00
01
01
00
00
10
10
10
01
10
10
00
01
10
01
01
10
00
00
11
10
11
00
11
10
00
10
01
00
11
10
00
00
10
11
01
10
10
10
00
00
10
01
00
10
00
11
01
10
01
11
10
10
01
00
01
00
00
10
10
00
00
10
10
00
10
10
00
00
01
00
00
10
11
00
01
00
00
00
01
01
01
00
11
01
00
10
00
00
10
01
00
10
01
10
11
00
00
00
10
01
11
10
11
00
00
00
00
10
10
01
00
01
01
10
11
00
00
00
10
00
00
00
10
00
01
11
01
00
10
10
01
01
10
00
10
10
00
00
00
10
10
10
10
10
10
10
00
01
10
10
10
01
01
01
01
10
10
10
01
01
00
10
11
00
00
00
01
10
11
00
00
10
10
00
11
01
01
10
01
01
01
10
11
00
01
01
11
10
00
10
10
00
01
11
00
00
00
00
11
11
00
01
10
11
10
11
10
00
10
10
01
10
10
01
10
00
11
10
00
11
00
10
10
01
10
00
00
01
11
11
00
01
10
00
11
10
00
01
00
11
10
01
11
00
00
01
00
10
10
01
01
10
00
10
10
01
00
01
10
11
00
10
10
01
00
11
00
01
01
11
10
11
00
00
01
10
11
00
00
00
11
00
00
00
10
10
00
11
00
00
10
00
10
10
10
00
10
00
10
01
00
10
00
00
10
10
10
00
10
10
10
10
00
11
10
00
01
00
00
00
00
00
11
10
01
11
10
00
11
10
00
10
11
00
01
10
10
10
00
00
11
10
01
00
01
00
10
11
00
10
10
01
11
01
00
11
01
10
10
10
00
00
11
11
01
00
00
10
01
10
11
00
00
00
00
11
00
11
11
11
01
00
00
10
11
00
01
10
11
00
01
10
10
11
00
10
10
11
00
01
01
10
01
00
00
10
10
01
00
01
10
10
00
10
10
10
10
01
11
10
00
10
01
00
00
10
11
11
10
00
10
01
00
01
01
01
11
10
10
10
11
00
10
11
00
10
10
11
00
00
01
00
10
00
10
00
10
10
01
01
00
10
10
10
10
01
00
11
11
00
00
00
10
10
10
00
00
00
10
10
00
11
00
01
00
10
10
11
11
10
10
00
01
10
00
00
10
01
11
00
01
11
10
11
00
00
00
11
10
10
01
01
01
00
00
10
11
00
00
00
10
00
10
10
01
01
10
11
00
11
10
11
00
10
10
00
10
10
10
00
00
10
01
00
01
00
00
00
00
01
11
00
00
10
11
10
01
10
11
00
00
00
10
10
00
10
10
10
00
00
11
10
11
00
00
10
00
10
01
00
11
11
10
00
10
01
10
00
00
11
00
10
00
01
01
10
11
10
10
00
10
10
11
01
00
01
11
00
10
00
00
00
10
11
00
10
10
00
10
10
10
11
10
01
00
00
10
11
11
10
00
11
11
01
01
00
10
00
00
01
11
01
00
10
10
00
10
10
01
00
01
10
10
10
00
00
01
00
10
10
10
01
10
00
01
00
00
00
00
10
00
00
00
11
10
01
01
10
01
00
11
00
00
10
10
01
00
01
10
00
10
00
00
10
11
11
10
00
11
00
11
11
01
00
11
01
00
01
10
10
00
00
10
10
01
00
01
00
01
01
10
10
00
01
10
11
11
00
00
11
11
01
11
10
10
00
10
00
01
10
10
10
00
00
00
11
10
10
00
11
01
11
10
00
00
10
11
10
01
01
00
11
11
11
00
10
11
00
10
10
01
01
00
11
00
11
11
10
01
01
10
01
10
10
00
11
10
01
00
10
10
00
00
10
11
00
00
10
01
10
10
10
00
10
11
00
11
10
00
10
00
11
10
10
00
00
10
00
10
10
00
00
00
00
10
01
00
01
10
01
01
10
10
10
00
01
00
11
10
01
00
11
10
00
00
10
10
00
00
10
01
11
10
11
10
10
10
10
00
11
10
10
00
00
00
10
11
10
00
10
00
10
10
00
10
11
01
00
10
10
00
11
10
11
11
10
00
01
11
10
00
00
11
11
10
00
00
00
00
10
01
10
00
10
11
10
00
00
11
00
10
01
01
11
10
10
01
11
01
00
10
10
01
00
11
00
10
11
10
00
00
11
11
00
10
00
00
00
10
00
11
10
00
00
10
10
00
00
10
10
11
00
00
11
10
11
00
10
10
01
00
10
01
01
10
01
11
10
01
10
11
10
01
00
00
01
10
10
00
01
00
00
11
10
11
10
10
00
10
11
00
00
10
00
10
00
01
00
10
10
10
00
10
10
10
00
10
10
00
00
00
11
11
00
00
00
11
01
01
10
11
10
01
00
00
10
00
10
10
10
10
00
11
11
00
01
00
00
00
00
11
10
00
00
00
00
11
00
00
10
00
01
00
10
10
10
00
00
00
11
00
11
10
10
01
00
00
10
00
00
10
00
11
11
10
01
10
00
00
01
10
10
01
01
11
00
00
00
10
00
01
10
10
00
01
00
11
11
00
00
10
00
10
10
10
01
00
10
01
11
11
10
10
11
00
01
01
00
10
10
01
01
10
10
01
00
01
00
10
00
01
10
10
10
10
11
11
00
00
00
11
00
11
10
10
00
00
00
10
00
00
00
10
10
00
01
10
10
10
00
00
11
00
00
10
00
11
10
00
10
00
00
00
01
00
00
10
10
11
01
01
10
10
00
00
11
10
00
00
10
10
01
10
00
00
10
01
00
11
00
01
11
10
10
01
11
00
00
11
10
01
00
10
10
11
10
01
10
01
00
00
10
00
10
11
00
01
01
00
00
00
10
01
00
10
11
11
00
10
10
00
00
11
10
00
00
00
00
11
11
10
10
00
10
00
01
00
00
11
11
01
10
11
00
10
00
10
10
01
10
11
10
00
01
00
01
00
11
00
10
10
00
00
01
00
10
10
10
00
10
00
00
00
11
00
10
10
01
11
11
01
01
10
01
10
11
00
01
10
10
10
00
00
11
01
00
01
11
01
10
00
00
01
00
10
11
11
10
01
00
00
00
01
11
00
00
10
00
01
01
11
10
10
00
11
01
11
10
01
00
00
10
01
00
10
00
00
10
00
00
10
00
10
10
10
11
11
11
00
11
00
11
00
10
00
11
11
01
10
11
11
01
11
11
01
01
11
00
10
10
00
00
10
11
00
01
11
11
01
10
00
00
10
00
01
10
10
11
01
10
01
11
10
00
10
11
10
10
00
00
01
10
00
00
01
00
01
00
10
01
10
10
01
10
01
00
00
11
11
01
00
01
11
01
10
10
00
10
11
00
11
10
10
00
11
01
00
00
11
01
01
10
00
10
10
10
00
00
10
00
00
10
00
01
01
10
00
10
00
00
00
11
11
00
00
00
00
10
11
00
00
01
10
11
11
00
00
01
00
11
10
00
10
10
00
01
10
10
00
01
01
10
11
10
00
10
00
01
10
10
11
00
00
00
00
00
01
01
10
00
11
11
10
10
00
00
10
10
10
10
00
01
10
01
01
01
11
00
01
10
00
00
10
10
00
10
11
00
00
00
10
11
10
01
01
11
00
11
01
10
00
00
11
10
11
00
01
10
01
00
11
00
00
00
11
11
01
10
10
00
00
10
11
00
00
01
10
10
11
10
00
10
10
00
01
11
00
00
11
11
01
10
10
11
10
00
00
01
00
10
11
00
00
10
01
00
00
00
10
10
00
00
11
10
10
00
10
11
11
10
01
10
00
10
10
11
00
00
10
10
10
00
00
11
00
10
00
01
00
10
00
00
00
00
10
00
00
00
10
11
11
01
00
00
11
00
00
10
00
00
00
01
10
11
01
10
10
01
00
00
10
11
00
00
10
11
10
01
01
10
10
11
01
00
01
00
10
11
10
01
10
10
00
10
00
00
11
11
10
11
01
01
00
11
11
10
11
00
11
10
00
00
01
10
11
10
00
01
11
01
00
11
11
10
00
11
10
10
00
00
10
00
10
00
11
10
01
11
00
00
01
11
11
00
00
10
00
00
11
10
10
10
10
11
10
00
00
11
11
01
01
10
10
11
01
01
10
10
10
11
10
10
11
00
00
10
00
00
10
00
00
10
11
10
00
11
00
00
01
10
11
10
10
11
01
10
00
10
10
00
00
10
00
00
00
11
00
00
10
10
00
10
10
10
00
11
10
11
11
10
01
10
11
01
11
10
01
10
01
00
10
11
01
10
00
01
10
00
01
11
10
00
00
00
10
01
00
01
00
11
00
10
00
10
10
10
10
00
01
01
11
00
11
01
11
11
01
10
10
00
00
10
10
10
00
10
11
01
00
11
00
00
01
11
10
01
10
10
11
00
00
11
11
00
00
00
10
11
10
10
11
01
10
00
10
10
01
01
01
00
00
00
00
00
11
10
10
01
00
00
00
00
10
00
01
10
00
01
10
10
01
10
11
11
10
11
11
11
00
11
10
11
00
11
00
01
10
00
11
11
01
00
01
10
10
00
11
11
10
01
00
10
00
10
00
11
01
00
00
11
10
00
00
10
11
11
01
10
10
00
00
01
11
10
10
00
10
10
01
01
10
00
00
10
11
01
00
10
00
01
10
10
00
00
11
00
11
10
00
00
10
10
10
10
00
00
00
11
00
00
10
11
10
10
10
00
10
10
01
00
00
11
00
00
00
01
01
10
10
10
10
10
10
00
01
10
10
10
10
01
11
00
00
10
01
10
00
00
11
10
00
11
11
11
00
00
01
01
00
00
00
10
11
11
00
00
10
00
10
00
00
10
00
00
11
10
11
11
11
10
00
01
00
10
00
10
11
10
00
00
10
10
11
00
00
00
00
11
10
11
00
00
10
00
00
10
10
00
11
10
11
10
00
00
11
10
01
00
10
00
00
11
10
00
00
00
01
10
00
10
11
11
11
00
10
00
00
11
00
01
11
11
00
00
00
00
01
10
00
00
11
11
00
00
00
00
10
11
10
00
11
11
11
10
10
01
00
10
10
10
00
10
00
10
11
01
00
10
00
00
11
10
10
11
11
00
10
01
01
10
10
01
01
10
10
10
10
00
00
10
01
00
00
10
10
10
11
01
10
00
00
01
10
01
10
10
00
11
00
01
00
10
10
10
01
10
11
01
00
00
11
00
11
00
01
10
11
11
01
01
10
10
00
00
10
10
00
01
10
10
10
11
10
01
00
10
00
10
10
10
00
00
00
01
10
00
10
01
01
00
01
10
00
01
10
00
00
10
10
10
00
10
00
11
11
10
00
00
01
00
00
10
10
10
00
01
00
00
10
11
00
01
00
11
10
01
00
11
10
11
11
00
00
10
00
10
10
00
10
00
11
10
11
10
00
11
00
01
00
01
10
10
00
00
11
10
00
00
10
10
01
00
11
00
00
00
00
10
00
11
11
00
00
11
01
11
10
00
11
10
10
01
10
10
00
10
00
11
01
11
10
10
10
10
00
10
10
00
11
00
01
00
00
10
01
11
10
00
00
01
00
00
00
10
00
00
00
10
11
10
10
00
10
10
00
01
11
00
00
11
00
10
10
10
10
10
10
01
00
00
11
10
11
11
00
11
10
10
01
00
10
00
00
10
01
00
01
00
00
01
10
01
10
01
00
00
11
11
10
01
01
10
01
00
01
01
01
01
10
10
11
00
01
01
10
10
10
10
11
01
00
10
11
10
00
00
00
10
10
10
10
00
10
10
00
10
11
00
01
00
01
00
11
01
10
01
01
00
00
11
10
10
00
00
11
11
01
10
00
00
10
00
01
00
10
01
00
01
11
11
10
11
11
01
01
10
10
00
10
10
11
01
00
10
10
10
10
11
10
00
10
01
00
00
00
11
11
10
10
10
10
11
10
11
00
10
00
00
10
00
11
11
00
00
11
10
00
01
00
01
00
00
11
11
11
00
11
10
10
01
00
00
00
00
10
01
10
01
10
10
10
10
11
11
11
00
10
10
00
01
10
10
00
11
11
11
00
00
10
10
10
00
00
11
11
00
00
10
10
01
00
11
11
01
11
01
00
11
00
00
10
00
01
10
10
00
00
01
10
11
00
10
00
10
00
00
10
00
10
11
00
00
00
10
00
10
00
11
00
10
00
01
11
01
01
00
10
11
10
00
01
10
11
10
10
10
00
00
10
00
10
00
01
10
01
10
00
01
00
01
00
10
10
00
11
01
01
11
00
11
00
10
10
10
10
10
10
01
00
01
10
00
10
00
00
11
10
01
01
10
10
00
01
10
00
00
10
10
00
10
10
00
11
00
01
01
01
01
11
10
01
00
11
10
01
01
11
01
00
00
10
01
00
00
11
10
11
00
00
10
10
01
10
00
00
10
10
10
00
00
01
10
00
00
00
00
01
00
10
01
00
00
11
01
10
11
10
11
00
00
10
00
11
00
00
10
01
01
00
10
10
00
10
10
00
11
10
01
00
01
01
01
10
00
00
00
10
00
10
11
10
10
10
00
10
01
00
10
11
01
10
01
00
10
11
11
00
11
10
00
10
00
10
10
00
01
10
10
00
10
01
00
00
10
01
01
11
11
00
00
00
10
10
01
00
10
10
00
00
00
10
10
10
10
10
10
11
00
01
00
10
10
11
00
00
11
10
00
10
11
10
10
01
00
10
10
00
00
00
01
11
10
00
10
00
00
01
01
10
00
00
11
10
01
10
10
00
10
10
11
10
00
10
01
00
10
01
01
10
11
01
00
00
10
11
11
11
01
10
11
11
01
10
00
00
10
00
01
11
10
11
00
00
11
10
00
01
01
10
10
00
10
01
11
10
00
00
00
10
01
00
11
11
01
01
00
11
10
10
10
11
00
00
10
11
10
10
00
10
00
01
10
01
01
00
00
00
11
10
00
01
01
01
10
01
10
11
00
10
10
00
00
11
00
00
00
00
10
10
10
10
00
11
00
00
01
00
10
10
11
00
10
00
01
11
10
11
01
10
01
10
11
01
01
10
01
00
10
11
01
00
00
11
11
11
10
11
10
00
00
01
10
10
00
00
01
10
11
10
00
00
00
10
10
11
10
11
10
10
01
00
00
10
01
00
10
00
11
01
10
00
01
10
11
01
00
10
01
00
11
00
10
01
10
10
01
01
00
00
00
01
10
11
10
10
00
10
00
00
10
10
00
01
00
01
00
10
10
10
11
10
00
00
11
00
10
10
00
10
00
00
10
01
00
01
10
10
00
11
11
10
10
01
01
10
01
00
10
11
00
01
01
11
10
00
10
10
01
00
10
11
01
00
10
10
00
10
11
10
01
11
11
11
10
01
00
00
00
00
11
10
01
00
10
00
00
00
11
10
00
10
10
10
00
00
10
10
00
11
10
00
10
00
00
00
11
10
10
10
00
11
01
11
10
00
10
10
00
01
11
10
11
10
10
01
00
01
00
00
10
10
00
10
10
10
00
00
01
00
10
00
00
01
10
01
00
10
00
00
10
10
10
01
00
10
11
00
11
10
10
00
01
11
11
01
11
01
00
10
00
10
10
10
00
01
00
10
10
10
01
10
10
10
10
00
01
10
00
11
10
11
11
00
10
00
00
00
10
10
10
01
01
00
11
00
00
00
00
00
10
00
00
10
10
01
01
00
10
10
00
00
00
10
00
00
01
00
10
00
01
00
10
10
10
10
11
00
00
10
10
00
00
01
10
00
10
00
10
10
10
10
01
01
11
01
10
00
01
01
10
00
01
11
10
10
11
00
10
00
01
11
10
00
01
00
10
00
00
10
01
10
10
10
11
00
00
00
10
00
00
10
11
00
01
10
11
01
10
00
10
01
01
01
11
11
01
01
11
00
10
10
10
00
01
11
00
00
10
11
11
00
11
11
00
00
10
11
00
01
11
10
10
10
00
00
00
11
11
01
00
11
11
00
11
11
10
00
10
10
01
00
10
00
00
10
00
00
01
11
10
01
10
10
00
00
10
01
10
11
11
01
10
00
00
10
00
00
10
00
11
00
10
11
10
00
10
00
10
10
01
01
01
10
11
10
10
01
00
00
01
01
10
11
10
01
01
00
10
00
00
10
10
00
00
00
10
11
10
00
11
11
10
11
11
00
11
00
00
10
00
10
11
00
01
01
01
11
00
00
11
10
00
01
11
10
10
00
11
11
00
00
00
01
11
11
00
01
10
10
00
10
10
00
11
10
00
01
10
00
00
10
01
10
00
01
00
10
10
10
10
10
00
00
10
00
01
00
10
00
11
10
00
10
01
00
11
01
10
10
00
00
10
10
11
00
10
01
01
00
10
11
00
10
10
00
01
10
11
10
10
00
10
00
00
01
10
00
00
01
11
00
00
01
10
10
01
10
11
10
10
10
01
00
00
00
10
10
01
00
11
11
01
01
11
11
10
11
00
00
10
10
01
11
01
01
11
10
10
00
11
10
00
00
00
00
10
11
00
11
10
01
11
10
10
00
10
00
11
11
00
10
10
10
00
00
00
11
00
01
11
10
11
10
10
00
10
00
11
01
01
00
11
00
11
11
00
11
10
00
00
01
11
01
10
10
00
11
00
10
10
01
01
10
11
00
00
10
10
00
10
00
00
00
10
10
11
00
11
10
10
11
11
11
01
01
11
11
10
00
00
10
10
00
00
11
00
00
11
11
10
01
10
10
11
01
00
10
00
00
10
11
01
00
00
10
10
11
10
10
10
11
00
00
11
00
00
10
00
01
00
11
00
01
00
10
10
00
11
10
11
01
00
00
11
11
01
10
01
01
10
10
10
11
00
10
10
01
10
00
11
00
10
00
10
10
10
10
01
10
10
10
01
10
01
00
10
10
11
11
01
10
01
00
10
10
01
00
10
10
01
10
10
10
00
00
00
01
10
10
00
00
11
00
00
11
01
00
00
00
10
10
00
10
01
01
10
00
10
11
00
01
11
00
01
10
10
10
10
00
11
00
00
01
01
01
00
01
10
00
01
00
11
10
10
01
10
00
00
10
10
11
00
10
11
10
00
00
10
00
00
11
10
10
11
00
10
10
00
10
00
10
10
11
11
10
00
00
00
00
10
01
10
10
01
10
00
10
00
00
00
10
01
10
00
00
00
00
11
10
00
10
01
11
10
00
01
11
10
01
10
10
00
10
10
00
00
10
00
01
00
00
11
00
01
10
00
10
00
00
10
11
01
10
00
11
01
10
00
01
10
10
10
11
01
10
01
10
10
00
01
01
10
11
10
00
00
00
00
10
10
00
10
00
01
00
11
01
00
10
00
10
00
10
10
11
00
10
11
00
00
10
00
01
10
10
00
11
00
01
01
10
11
10
10
00
00
00
11
11
01
00
10
11
00
00
01
10
10
00
10
00
01
01
01
10
00
00
10
01
10
11
00
11
10
10
01
00
10
10
01
00
00
11
10
00
00
00
11
10
01
01
11
10
01
00
01
10
11
10
01
01
00
10
10
00
00
01
00
10
01
01
10
10
00
00
10
01
10
11
10
01
10
00
11
01
11
11
11
00
10
00
10
10
00
00
11
00
10
00
00
10
10
00
11
01
00
10
01
00
10
10
10
00
11
00
00
10
10
11
10
00
10
10
11
10
00
10
00
01
10
00
00
10
10
11
01
10
10
01
00
11
00
10
10
10
00
11
10
01
01
01
01
11
10
01
10
01
00
10
01
00
11
10
11
00
11
00
10
00
00
11
01
10
11
01
10
11
10
00
00
10
10
11
00
00
10
10
00
10
01
00
01
01
01
10
00
00
01
00
10
00
11
00
01
00
01
11
11
01
00
00
10
00
00
01
11
10
10
10
10
10
01
00
11
10
01
00
00
00
00
00
00
11
11
01
10
10
00
01
01
10
00
00
10
10
00
11
10
10
10
00
10
10
00
01
00
10
11
01
10
11
00
01
00
00
10
11
10
01
00
00
00
00
11
11
01
00
10
10
00
10
01
00
10
11
00
01
10
10
00
00
00
11
10
01
01
11
10
00
11
11
01
11
10
01
00
10
00
10
01
00
00
00
11
11
01
00
10
10
10
01
00
10
10
10
00
10
10
00
01
11
00
10
00
01
00
10
10
11
10
00
00
00
11
00
11
10
00
10
01
10
10
00
00
10
00
10
01
10
01
00
00
00
11
00
01
11
10
10
00
00
10
01
00
10
01
10
00
11
10
10
10
01
10
01
01
10
11
01
00
01
10
10
00
10
10
10
10
01
10
11
10
00
00
01
00
01
10
10
10
01
00
10
00
01
00
00
10
10
00
00
01
11
10
00
10
00
00
00
01
11
00
01
00
00
10
10
00
11
10
10
00
10
10
10
00
10
00
10
00
10
11
00
01
00
10
00
11
11
00
10
10
01
00
10
10
10
00
01
01
00
11
10
00
00
00
10
00
10
10
01
00
11
01
00
01
10
00
10
11
00
00
00
11
10
00
00
11
01
11
10
00
10
10
11
00
00
10
11
10
11
10
01
00
10
10
11
00
10
10
00
10
00
00
11
00
10
00
00
10
10
10
00
00
11
00
11
10
01
11
00
10
10
00
10
11
01
00
11
10
11
00
10
11
00
01
10
00
00
10
10
01
00
01
11
11
00
11
10
00
10
00
10
10
00
01
01
11
10
10
10
00
01
10
11
00
10
10
10
00
00
00
10
00
11
00
00
10
10
10
00
01
11
10
00
10
10
00
00
01
10
10
01
10
10
00
00
10
10
11
01
11
11
00
10
00
00
11
11
01
00
10
00
00
11
10
01
00
00
00
10
00
00
10
11
10
01
10
11
01
01
00
10
10
00
11
01
01
10
00
00
11
10
01
00
10
10
10
00
00
11
00
00
10
01
10
10
00
01
01
10
00
00
00
00
00
00
11
10
10
01
00
00
11
11
01
00
11
10
00
10
01
00
11
11
01
10
10
00
10
01
00
11
11
01
00
00
00
00
10
10
00
00
10
11
00
00
11
10
01
10
00
11
01
01
10
11
01
00
00
10
00
00
01
10
11
10
00
01
11
10
10
01
00
00
11
10
01
01
10
00
01
11
11
10
00
11
00
01
01
11
10
00
10
10
00
00
00
00
10
10
10
00
00
00
10
10
10
11
00
01
10
10
10
00
10
10
00
00
11
00
11
10
11
00
10
00
00
10
11
10
00
00
10
00
00
10
10
01
00
11
00
10
11
01
11
10
00
00
00
00
00
11
10
00
10
00
10
00
10
10
00
01
10
11
00
01
00
11
11
10
01
00
10
11
01
00
00
00
00
11
01
10
10
10
10
01
10
10
10
10
00
01
10
11
00
00
11
10
00
00
10
10
00
11
00
00
10
11
10
00
00
11
10
01
00
11
10
00
00
11
10
01
10
00
11
00
00
01
00
11
01
00
11
10
00
10
10
00
01
01
11
00
01
01
11
10
11
10
10
00
01
00
10
10
00
11
10
00
10
10
00
10
00
00
00
10
10
10
00
10
11
01
00
00
00
10
10
01
10
10
10
10
00
01
00
01
11
10
00
01
11
10
10
00
11
00
01
10
10
10
01
00
10
11
10
00
10
11
01
00
01
01
01
11
11
11
00
00
00
11
10
01
10
10
01
11
10
11
00
00
10
00
00
11
10
11
11
00
10
10
00
10
11
00
01
11
10
10
01
10
01
10
10
00
11
00
01
11
11
10
00
10
10
01
01
11
10
00
00
11
01
00
10
00
11
10
01
11
01
10
00
01
11
01
11
10
01
00
00
10
11
00
00
01
01
10
10
00
00
01
11
00
11
00
00
00
10
10
01
01
10
10
01
11
01
10
10
00
00
01
00
01
11
00
11
10
11
10
10
00
10
10
01
10
00
01
01
10
00
11
10
10
00
10
01
10
11
10
10
00
01
10
00
01
10
10
01
00
00
01
00
10
01
00
10
10
11
00
00
11
01
10
11
00
10
11
01
01
00
00
10
10
00
00
00
11
01
01
10
10
00
10
10
01
01
00
10
10
01
11
10
00
01
10
10
00
11
10
00
00
10
10
10
10
01
01
10
11
00
10
01
10
00
00
11
10
11
10
10
01
01
00
00
10
11
11
01
00
01
10
01
01
00
00
10
10
01
10
10
00
00
10
10
10
00
11
11
01
10
00
00
10
00
01
01
11
10
10
00
00
11
10
10
00
11
11
01
10
10
10
11
11
00
01
10
10
01
00
01
01
10
11
00
11
01
10
10
00
00
00
10
00
00
11
00
01
01
10
00
11
00
10
10
00
10
01
10
01
01
10
01
00
11
01
00
10
10
11
10
01
00
11
00
00
11
00
11
01
01
10
01
00
10
11
00
00
11
00
01
00
10
11
00
00
00
10
10
00
00
10
00
11
00
10
10
00
01
00
00
01
00
00
01
01
10
00
00
11
10
00
10
11
10
00
00
01
10
01
00
00
10
10
11
10
10
01
10
01
00
01
00
11
00
11
10
01
00
10
11
00
10
10
01
10
10
10
11
11
00
00
11
11
00
11
10
01
10
10
00
00
11
00
10
10
01
10
10
11
00
10
01
00
11
11
00
00
11
11
00
10
10
00
01
01
11
10
00
10
10
11
00
01
01
10
00
10
01
01
10
10
00
10
00
00
10
00
00
00
10
00
00
10
01
00
10
10
11
00
10
11
01
11
00
00
10
10
10
00
10
00
00
01
00
10
01
00
00
10
10
00
10
11
10
00
00
11
00
00
10
10
01
10
11
01
10
10
01
11
10
11
01
00
10
10
10
00
10
00
10
10
01
00
10
01
01
10
10
00
01
00
10
10
00
00
11
00
01
00
10
10
00
01
00
00
00
11
10
00
10
00
11
00
10
10
10
11
11
00
01
10
10
00
01
11
11
00
00
10
10
00
00
01
10
11
00
00
00
01
00
00
11
11
10
00
01
00
11
00
00
10
00
01
10
01
00
01
11
00
10
10
11
00
01
11
10
01
00
00
01
11
11
00
10
10
01
10
00
00
11
00
00
00
10
11
11
00
00
00
10
00
00
10
10
11
10
10
00
00
10
01
10
00
10
10
00
10
00
00
01
10
11
11
00
10
00
01
00
11
10
00
00
10
01
00
00
11
01
00
00
10
10
10
01
00
11
00
01
11
10
01
01
10
11
11
00
00
10
11
11
10
00
10
11
11
11
00
10
00
10
10
10
11
00
00
10
10
01
00
00
10
10
00
00
01
10
10
01
11
00
01
10
00
00
00
10
10
00
00
01
00
00
10
10
01
10
11
01
10
11
00
01
10
11
00
10
10
00
11
11
01
00
00
11
01
00
10
00
10
00
11
00
10
00
00
10
10
00
00
00
00
00
11
01
10
10
00
11
10
01
10
11
10
01
10
00
10
00
01
10
10
00
01
00
00
10
11
10
00
00
00
00
11
10
00
00
00
00
10
00
10
00
00
00
00
00
10
11
00
11
01
01
11
10
00
00
10
10
10
01
00
11
00
01
10
10
00
00
10
10
10
00
10
10
00
11
00
10
10
10
11
01
00
10
00
11
01
00
01
11
10
11
10
01
00
11
10
01
01
11
00
00
10
00
00
11
00
01
10
10
00
10
00
00
00
11
00
00
10
11
00
00
11
10
00
01
10
11
10
00
00
11
10
10
00
01
00
00
00
00
11
10
10
10
00
00
11
00
10
11
10
00
00
01
10
01
10
10
00
00
10
01
00
10
00
00
00
10
00
01
00
00
01
01
01
10
00
01
00
11
10
00
00
10
00
01
10
10
11
10
00
00
00
00
10
10
00
00
01
10
10
11
11
11
01
01
11
10
00
01
01
10
11
01
00
00
11
11
00
00
10
01
00
11
11
00
11
11
01
00
11
10
10
10
01
00
11
00
01
00
10
10
01
01
10
10
00
11
01
10
00
10
10
10
10
01
10
11
11
00
01
10
00
00
10
10
00
00
10
11
00
11
01
00
01
01
10
11
11
10
11
00
00
00
10
11
01
00
10
00
01
10
11
00
11
10
00
10
00
11
10
10
00
10
10
00
10
10
00
00
00
10
01
00
01
10
10
11
00
11
10
11
01
00
10
01
11
10
10
10
10
10
01
00
00
11
10
10
00
00
00
10
10
00
11
10
00
10
00
10
01
01
11
10
10
01
11
00
10
11
00
00
10
10
01
00
10
11
00
11
00
10
01
10
00
01
00
00
01
10
10
10
10
01
01
11
00
01
10
10
00
00
10
11
10
00
10
11
10
00
01
10
10
00
01
10
01
00
01
00
00
10
00
00
10
11
01
01
10
00
10
10
10
10
10
01
00
01
11
11
00
10
01
10
10
10
10
01
00
10
00
10
01
00
10
01
10
01
00
11
10
00
11
10
10
00
10
10
01
01
10
10
01
00
00
00
11
10
00
00
01
00
00
11
11
01
01
10
11
01
00
10
00
01
10
01
00
11
10
00
10
00
10
11
11
01
10
11
10
10
00
01
00
10
01
00
11
00
00
10
10
00
00
10
11
00
00
01
10
10
00
10
00
11
11
10
10
10
01
00
11
01
01
11
11
10
00
00
10
11
01
00
10
00
10
01
00
01
10
10
10
10
11
00
10
10
01
00
00
10
11
00
10
10
10
11
10
00
01
00
01
10
10
10
01
00
00
01
10
00
00
00
10
10
00
11
11
10
10
00
01
11
10
10
00
00
01
10
11
01
01
10
11
00
11
11
10
11
10
00
00
00
01
00
10
11
01
11
00
00
00
00
10
10
10
01
00
10
11
00
10
10
10
11
10
00
11
00
11
00
00
11
01
01
01
01
00
00
11
10
10
01
00
00
10
10
11
11
01
10
10
00
00
10
11
01
01
10
11
00
11
11
10
00
10
10
11
01
01
10
00
01
11
11
11
11
11
00
10
01
00
11
11
00
11
10
00
00
00
10
10
00
00
10
11
10
01
11
10
10
00
00
10
00
00
10
11
01
11
11
01
10
11
01
00
00
10
10
00
10
10
00
00
10
11
00
00
10
00
00
01
10
11
01
10
11
11
11
00
01
00
11
10
00
10
11
00
11
00
00
11
00
11
10
11
01
00
00
10
00
01
11
11
10
00
10
10
00
00
11
11
01
00
00
10
10
10
00
01
10
10
00
11
00
11
10
11
00
10
00
00
10
10
00
00
01
11
00
00
10
10
00
01
01
10
11
00
00
10
11
10
11
10
10
00
00
11
10
00
10
10
10
01
10
10
01
01
11
10
10
10
10
01
11
01
01
10
00
10
00
00
01
10
11
00
00
01
01
10
10
10
01
00
00
01
00
11
10
00
00
10
11
10
11
01
11
00
10
10
10
11
01
00
10
10
01
10
01
00
01
01
10
00
11
11
11
00
01
10
11
00
00
00
11
00
10
11
00
01
10
10
00
11
00
01
00
10
10
01
01
11
10
00
00
10
10
00
01
10
00
00
11
10
01
10
01
00
01
00
00
01
10
00
01
00
11
00
10
00
01
11
11
00
00
10
11
10
00
11
10
00
11
11
00
00
10
11
00
10
10
00
00
01
00
10
00
01
00
11
10
00
00
11
11
11
10
00
10
10
10
00
01
10
10
10
00
00
10
00
11
01
00
11
00
01
10
00
00
10
00
11
11
01
00
01
10
11
01
00
10
10
01
00
10
10
00
00
01
10
10
00
00
10
00
11
01
01
10
10
10
01
00
00
10
10
01
01
10
10
11
10
01
00
11
01
00
10
10
00
00
01
00
10
00
11
10
10
00
10
10
10
01
00
11
11
10
00
01
10
10
10
01
10
01
00
11
10
11
00
00
00
01
10
10
00
00
00
10
10
01
00
11
11
00
11
10
00
00
10
01
00
10
00
10
10
10
11
00
01
00
01
10
10
10
00
10
00
11
11
11
00
01
01
10
11
11
11
00
10
10
01
01
00
10
10
10
10
10
01
00
10
10
11
10
10
10
00
10
10
10
11
10
01
00
10
00
01
00
10
01
00
00
00
01
10
10
10
01
10
10
00
01
00
10
01
10
00
01
11
10
11
00
00
11
11
11
00
11
10
01
00
10
00
00
10
10
11
00
10
10
00
10
10
00
00
10
10
00
10
10
01
11
10
10
10
11
10
00
01
01
10
00
00
11
10
10
11
10
10
00
11
00
01
10
01
00
10
00
10
00
10
11
00
00
00
00
00
11
10
01
10
10
01
00
10
10
01
00
00
01
00
00
10
00
00
01
11
10
00
01
01
11
10
01
11
10
10
01
11
10
11
11
00
11
00
01
10
10
00
01
10
11
10
00
10
11
11
11
10
01
00
10
00
10
11
00
00
11
10
00
10
00
11
00
00
00
11
11
00
01
10
10
01
00
01
10
11
11
00
00
00
11
00
10
10
01
11
10
00
10
10
11
00
10
11
00
01
10
10
10
10
11
11
00
00
00
00
00
11
10
01
00
00
11
00
10
11
10
10
11
00
10
00
01
00
00
00
01
01
11
11
01
10
11
01
11
00
00
10
10
10
00
01
10
01
11
01
00
01
11
10
00
00
10
11
01
10
00
00
11
10
01
10
00
00
00
01
10
10
00
01
10
01
11
11
10
00
00
00
00
00
11
00
00
11
00
10
11
11
00
01
01
00
10
10
10
11
01
01
10
00
01
00
10
10
01
00
10
10
00
11
00
11
10
01
10
11
00
00
11
10
11
10
00
10
10
00
00
00
10
00
11
10
11
10
01
10
10
00
01
10
10
10
00
00
11
11
11
00
00
11
10
00
10
00
00
10
10
10
10
11
00
10
00
10
10
00
10
00
01
10
00
10
00
00
01
11
10
11
00
10
11
10
11
00
00
00
00
01
01
10
10
01
10
00
00
11
00
10
11
01
10
10
10
00
00
10
10
11
00
00
10
01
01
00
00
10
11
10
00
00
11
10
00
00
10
10
10
00
00
00
10
01
10
10
10
11
00
01
10
00
01
10
10
01
10
01
01
11
10
10
00
11
11
01
01
11
10
01
10
11
00
00
10
10
00
10
00
00
01
01
10
01
10
01
00
10
00
11
10
00
10
10
00
11
10
00
00
11
10
00
01
10
10
00
01
10
00
10
11
00
10
00
00
01
10
11
00
11
00
00
11
00
00
10
00
00
11
10
00
01
10
00
10
00
10
00
00
10
00
10
00
01
01
11
11
00
10
10
10
00
10
11
01
01
00
11
00
01
10
01
00
11
10
00
01
11
01
11
00
00
00
10
11
10
10
00
10
10
00
00
11
00
00
00
11
11
01
00
00
11
10
10
10
00
00
10
01
00
11
10
10
01
01
01
11
10
11
10
00
10
01
00
10
01
00
10
00
00
10
11
01
10
00
10
00
00
11
01
10
10
10
10
01
10
11
11
00
00
11
10
11
00
11
10
10
00
01
00
10
10
00
10
11
01
10
00
10
00
00
01
01
11
10
00
00
10
01
01
10
10
10
00
11
00
00
10
10
10
00
00
10
10
11
11
00
10
00
01
10
01
11
00
00
10
00
10
01
01
01
00
11
11
11
10
00
00
10
10
00
10
10
01
00
01
01
01
11
10
00
00
00
10
01
00
10
11
00
10
10
00
11
11
00
00
10
10
11
10
10
11
00
00
01
11
10
10
10
00
01
10
11
10
10
01
10
10
11
00
01
11
01
10
10
00
00
00
10
10
01
10
10
01
01
10
00
00
10
10
11
00
11
00
01
10
10
11
11
10
01
10
11
01
10
01
00
00
10
00
00
10
10
10
10
00
00
11
11
00
10
11
00
10
00
01
11
11
00
01
00
10
00
01
00
11
00
00
00
11
11
00
00
10
10
11
00
00
11
10
00
01
01
11
00
00
10
00
10
10
00
00
00
00
11
00
00
10
10
11
01
00
10
00
01
11
11
01
00
10
10
10
00
11
10
10
00
00
11
00
10
11
10
10
10
00
00
01
10
00
00
00
10
11
00
00
11
10
10
11
10
11
11
00
00
01
00
11
10
00
00
10
10
01
00
11
01
01
10
10
11
10
10
01
01
11
11
01
00
00
00
00
10
11
10
00
00
00
11
10
11
11
11
00
00
10
01
10
01
10
10
00
10
11
00
01
11
00
00
11
10
01
00
10
01
10
00
01
00
10
10
10
00
00
10
01
10
11
00
01
00
10
00
00
11
10
01
01
11
00
11
00
10
10
00
10
10
01
00
10
10
00
01
10
11
10
01
00
10
01
10
00
11
10
00
11
00
10
00
00
10
00
10
10
00
01
10
00
11
10
00
10
11
00
01
10
00
01
00
10
11
01
00
10
10
00
01
11
00
11
10
01
10
11
01
01
00
00
10
10
00
00
00
10
00
00
00
00
11
00
11
10
10
11
10
10
00
01
10
01
00
10
00
00
01
00
10
10
10
00
01
00
10
11
00
10
10
00
10
10
10
10
11
00
00
10
00
10
01
11
00
10
10
00
00
01
10
10
11
00
01
01
00
00
10
11
11
00
00
01
10
11
00
11
11
10
10
00
11
10
00
00
10
00
00
10
00
01
10
11
11
00
01
10
01
01
11
10
11
10
01
10
00
11
10
01
01
10
10
00
00
10
11
01
01
00
10
10
01
00
01
10
10
00
11
01
00
10
11
00
01
00
00
11
10
00
10
11
00
00
01
10
00
10
10
10
01
01
01
01
10
00
01
10
10
01
10
10
00
01
00
01
10
10
00
01
00
00
01
10
10
10
10
00
10
10
00
10
11
10
01
00
00
00
11
01
11
10
00
10
10
00
01
10
10
10
00
00
11
11
01
01
00
10
00
10
10
00
00
10
10
00
11
11
00
11
10
10
11
00
00
10
00
00
10
10
00
11
00
00
11
11
10
01
11
00
00
01
01
01
11
10
10
11
11
01
11
10
00
00
11
10
00
01
10
10
00
00
10
10
00
10
00
10
10
01
00
10
00
11
00
00
00
10
00
00
10
00
01
10
00
10
01
10
11
10
00
01
10
01
00
11
11
00
00
10
10
11
10
00
00
11
01
10
00
00
11
10
10
01
00
10
00
00
11
10
00
00
10
00
11
00
00
10
11
11
00
00
10
10
00
00
00
10
11
01
10
10
01
00
00
10
11
00
00
00
10
01
00
10
01
10
00
00
10
10
10
01
11
00
10
00
00
11
01
00
00
10
01
10
11
00
11
00
01
10
10
00
01
10
10
00
10
10
11
00
00
00
00
00
00
10
00
00
10
10
10
00
10
00
00
10
00
00
00
11
00
11
00
00
10
10
00
01
00
10
00
00
10
00
00
00
11
11
01
00
10
00
01
11
11
10
00
10
10
00
10
01
00
00
00
01
00
11
11
10
00
10
10
01
01
11
10
10
10
10
01
01
11
11
00
00
00
00
10
10
00
01
11
10
10
01
11
01
10
01
01
10
00
11
11
01
00
11
00
01
10
10
10
00
00
10
10
00
10
01
11
10
11
10
01
11
10
01
00
10
00
00
01
01
01
10
11
10
10
01
01
11
10
00
01
11
10
01
10
01
01
10
10
10
00
00
10
11
10
10
00
10
00
00
01
00
10
00
00
01
00
01
10
11
10
00
00
11
11
10
00
01
10
10
11
00
00
11
01
10
10
11
11
00
01
10
00
11
10
01
11
11
00
11
00
00
00
10
00
00
11
10
00
10
01
01
00
11
00
00
11
00
10
10
10
00
10
10
00
00
10
01
01
10
00
00
10
10
11
11
10
00
10
01
00
10
01
11
11
11
00
00
00
10
01
11
11
00
10
10
11
00
10
10
10
00
11
00
00
10
01
10
01
10
10
10
11
10
00
10
11
10
00
10
10
10
01
10
00
00
10
11
11
00
11
11
11
00
11
10
00
00
10
00
10
10
11
00
00
00
10
01
00
00
10
00
00
01
10
11
10
00
10
00
01
11
10
10
00
00
00
10
00
11
10
01
11
10
10
10
11
01
10
01
01
10
11
11
10
00
01
00
10
11
00
01
10
10
00
10
00
00
00
00
11
11
00
00
11
00
00
10
00
10
10
01
10
10
00
10
00
10
00
10
11
10
00
01
10
10
01
11
10
11
10
00
00
10
00
00
00
00
11
10
00
01
00
10
01
00
11
00
01
00
10
10
10
10
01
01
10
11
01
00
10
10
01
10
11
01
10
00
11
01
11
01
00
00
10
10
00
11
11
11
00
01
11
10
01
01
10
11
00
01
10
10
01
00
11
00
10
11
11
00
01
11
11
00
00
10
10
01
00
01
10
10
10
10
00
00
00
10
00
11
10
00
10
00
00
10
10
00
00
10
11
01
00
10
10
10
10
00
00
10
00
00
01
01
00
00
11
01
11
10
11
11
11
00
10
10
00
00
10
01
00
10
01
00
00
11
00
01
11
10
00
10
10
10
10
00
10
11
00
00
10
01
01
01
10
00
01
10
00
10
01
00
00
00
00
10
10
00
01
00
10
01
00
01
00
10
11
10
11
11
01
00
10
01
00
11
00
10
11
10
11
00
00
10
10
00
00
10
10
00
00
10
00
10
00
10
10
01
00
00
10
11
01
01
00
10
00
00
00
10
11
01
00
10
10
11
10
11
10
00
01
10
10
00
10
10
11
01
01
00
01
00
00
10
10
01
00
01
10
10
00
10
10
00
10
10
00
11
01
11
11
11
10
11
11
00
01
10
00
10
11
00
10
00
01
00
11
10
00
00
10
10
00
11
10
10
10
00
00
11
11
11
01
00
10
00
10
11
01
01
00
01
10
00
01
10
10
10
10
01
10
01
10
10
00
10
10
01
00
10
10
11
10
10
00
00
00
01
01
01
10
01
00
00
00
00
11
10
00
11
10
10
10
10
10
11
10
00
01
00
10
01
10
01
11
00
00
10
00
11
10
01
00
01
00
10
00
11
00
10
10
00
10
00
00
01
10
11
11
11
00
00
10
01
10
11
10
00
01
00
00
10
10
01
00
01
00
11
10
01
00
10
10
00
00
11
11
00
10
10
00
00
00
00
01
01
00
10
01
00
01
10
11
01
00
01
01
10
10
10
00
10
00
10
10
01
00
10
11
11
00
00
11
01
10
01
00
10
11
10
00
10
10
00
00
00
11
10
00
11
10
00
10
11
01
10
01
10
01
11
00
00
00
00
10
10
01
10
00
10
00
10
01
10
11
10
00
10
01
01
10
01
00
10
10
10
10
10
00
10
01
11
00
10
10
10
00
11
00
01
00
11
11
11
00
10
11
01
00
11
00
11
10
00
00
10
10
01
00
00
10
10
10
00
11
10
01
10
11
11
01
01
11
11
01
10
10
01
01
10
10
00
01
10
11
00
01
10
10
00
11
10
00
10
10
10
00
00
10
10
10
10
00
00
00
11
11
00
10
11
01
10
00
00
10
10
00
10
01
00
01
10
11
01
00
10
10
10
00
00
11
10
10
10
00
01
00
01
01
10
10
01
01
11
00
01
10
01
00
01
10
11
00
00
10
10
11
00
10
10
10
11
11
00
00
11
00
10
01
00
10
00
00
01
00
00
01
00
11
00
10
01
00
10
10
00
01
10
10
10
00
11
10
11
00
10
10
11
00
01
10
01
11
01
00
11
00
01
00
10
11
00
00
10
11
00
01
10
01
00
11
10
00
01
10
01
01
10
11
00
01
11
00
10
10
10
01
01
10
00
00
10
10
01
01
10
00
00
10
11
00
10
00
01
00
10
00
00
10
01
00
00
10
11
10
01
11
00
11
10
11
00
10
10
00
11
10
00
00
10
00
00
00
10
10
01
00
11
10
10
01
00
10
11
00
01
10
01
01
10
10
10
00
01
01
10
00
00
00
00
11
10
00
00
00
10
10
00
10
11
11
10
11
11
00
10
01
00
10
10
10
00
00
10
00
01
10
00
11
10
01
11
00
10
00
00
10
00
01
11
00
00
10
00
01
00
10
10
00
00
00
01
01
10
10
00
11
10
10
00
10
10
00
01
00
01
01
10
00
01
00
01
10
00
10
10
10
11
10
00
11
00
11
11
10
01
11
01
10
10
00
11
00
01
11
10
00
10
01
01
10
10
10
10
00
00
11
11
10
00
10
11
01
00
10
10
00
10
11
00
11
01
00
11
00
10
00
01
11
10
00
01
00
00
00
00
11
10
01
01
11
10
00
00
01
00
11
11
00
00
10
01
10
00
01
00
00
01
11
11
00
10
10
01
01
11
00
00
00
00
00
00
11
10
00
11
11
01
10
11
10
00
01
01
01
01
01
10
10
01
10
11
01
11
00
00
10
11
10
00
10
10
01
00
00
01
00
11
01
00
00
01
10
11
10
01
10
11
10
00
00
11
10
00
00
10
00
10
00
00
01
10
10
00
10
00
01
00
11
11
01
10
10
01
00
00
01
10
10
10
10
10
10
10
01
00
11
00
10
00
10
00
10
10
00
11
00
01
00
00
10
01
10
00
00
11
01
00
11
00
00
10
10
01
00
10
01
00
10
10
00
00
00
10
10
00
00
10
10
11
01
10
10
10
11
11
10
01
10
10
00
00
10
10
00
01
10
10
10
00
00
11
00
01
00
10
10
11
11
00
01
01
11
00
10
11
00
11
01
01
10
00
10
00
00
11
00
00
10
11
10
00
01
10
00
10
00
01
10
00
01
00
11
10
11
01
00
01
11
10
00
00
10
01
01
00
10
11
01
10
10
10
00
01
00
10
10
00
00
10
10
11
10
10
00
10
01
00
01
00
11
11
11
11
10
10
01
00
10
11
01
00
11
00
01
10
11
11
11
10
00
00
01
10
01
11
10
00
00
10
01
11
11
00
11
10
11
00
00
10
01
00
10
00
11
10
00
01
10
10
10
00
00
10
10
00
10
01
10
01
00
01
00
10
01
01
00
11
10
01
10
10
11
01
01
11
10
01
00
11
10
10
11
00
00
10
10
00
11
00
00
01
10
01
00
00
10
11
11
00
00
00
10
00
10
11
01
00
00
00
01
11
10
10
00
00
00
11
01
00
00
10
10
00
00
00
10
11
00
10
11
11
01
10
11
10
01
10
10
01
00
10
11
10
00
11
10
10
01
00
11
10
10
00
11
00
01
11
11
00
11
01
11
10
00
01
10
11
00
10
11
00
00
10
10
10
10
00
01
00
00
10
10
10
00
01
01
00
11
00
01
10
00
00
00
11
11
01
00
00
10
10
10
10
10
00
01
10
00
00
00
10
11
00
00
11
10
00
10
00
10
00
00
11
01
00
00
10
10
00
00
11
00
11
10
00
10
11
10
00
01
10
11
10
11
10
10
10
10
11
00
00
10
00
00
10
00
10
00
10
10
00
00
01
11
00
10
10
00
10
10
01
11
11
11
11
00
00
11
10
00
00
10
01
00
01
10
11
10
00
00
00
10
10
00
00
11
10
00
01
10
00
00
10
00
00
01
00
00
10
11
10
00
00
11
10
01
01
10
00
10
10
00
00
11
00
10
10
01
00
00
11
00
10
10
00
10
11
00
00
00
00
11
11
11
00
10
00
01
00
00
11
10
10
00
10
11
10
00
01
10
11
10
00
01
10
10
10
00
00
00
10
10
00
00
11
11
11
10
01
00
10
10
11
11
01
00
00
10
01
10
10
10
10
11
10
01
00
11
11
11
11
00
00
10
11
11
01
00
01
11
10
10
00
10
10
00
10
11
00
01
01
00
10
10
01
11
10
10
10
00
10
11
00
01
10
10
10
00
00
11
11
11
00
00
00
00
10
00
01
11
00
00
11
10
10
10
10
01
01
00
11
10
10
10
10
00
01
01
10
10
00
00
01
00
10
00
10
00
00
00
10
01
10
10
00
11
10
10
10
00
00
10
00
11
01
00
11
10
00
01
10
01
00
10
01
10
11
00
00
11
01
11
10
10
11
00
10
10
10
10
10
00
01
11
00
00
00
00
00
10
10
01
01
10
10
01
10
10
00
10
01
01
11
00
00
10
00
01
10
11
00
10
00
00
10
10
10
11
11
10
00
00
11
00
11
11
00
10
01
10
10
10
00
01
10
00
10
01
10
01
10
01
01
10
01
10
00
11
01
01
00
01
00
01
01
00
10
10
10
00
00
10
10
00
10
10
01
10
10
10
01
11
10
01
01
10
10
10
10
00
11
11
00
10
11
00
01
00
00
11
00
11
00
01
11
10
01
11
00
00
00
00
11
10
00
10
10
11
00
00
00
00
10
00
11
10
10
00
01
11
10
11
00
10
00
00
10
10
00
00
01
10
10
10
10
00
00
10
00
00
10
10
11
10
11
10
00
10
01
11
10
10
01
10
00
00
00
01
00
11
11
10
00
11
10
10
00
00
00
00
11
00
11
11
00
11
01
01
00
00
10
11
10
11
00
01
10
11
00
00
11
01
00
11
00
00
00
10
10
01
11
11
00
00
01
11
01
10
10
00
10
10
00
11
01
00
10
00
11
10
10
00
00
10
10
00
10
10
00
10
10
01
10
01
00
10
11
10
00
01
11
10
00
01
11
10
00
00
11
01
11
10
00
11
00
00
10
10
01
00
10
00
01
11
11
11
10
11
10
11
00
00
10
01
01
10
10
10
11
11
01
01
01
01
01
01
10
10
00
00
11
11
00
00
00
10
00
10
01
10
00
00
00
00
00
11
10
10
00
00
00
10
11
00
10
10
00
11
00
00
11
10
10
10
10
00
01
00
10
00
10
10
10
10
11
00
11
00
10
10
01
10
00
01
10
10
00
11
01
00
11
00
01
10
10
00
00
10
10
00
01
00
01
11
00
01
11
00
11
10
01
11
11
10
00
00
11
11
01
10
10
10
10
10
10
00
00
10
10
11
10
11
10
01
10
00
01
00
01
10
10
00
00
10
00
00
10
10
11
10
00
10
11
11
10
11
00
00
01
00
00
00
01
11
11
00
00
11
11
10
10
10
00
00
11
10
00
01
10
10
00
11
00
11
01
01
10
01
01
10
00
01
10
10
01
00
10
00
10
11
00
00
01
00
00
10
00
00
00
10
10
11
01
10
01
00
10
00
01
11
00
11
00
10
10
11
01
00
10
10
11
11
11
00
01
00
11
10
01
10
10
00
01
00
10
10
00
10
11
00
10
00
10
00
00
11
11
10
00
10
01
00
11
10
01
01
00
01
10
00
10
01
00
10
01
10
10
00
00
10
10
00
00
10
11
00
01
01
01
00
00
11
11
10
01
10
10
10
01
00
01
00
10
01
10
11
01
00
01
00
01
10
11
01
10
00
10
10
00
01
11
11
11
00
10
00
00
10
01
00
00
11
10
10
10
00
00
11
10
00
00
10
00
00
01
10
11
01
00
00
01
10
00
00
10
01
10
10
10
01
00
00
11
10
00
10
10
10
00
00
11
10
10
10
01
00
00
10
00
00
10
01
00
10
10
00
00
11
11
01
00
10
00
00
10
00
00
11
00
00
10
10
00
10
10
10
01
11
11
11
10
10
00
00
11
10
00
00
10
11
00
01
00
00
10
10
00
00
10
00
01
11
11
11
11
10
10
11
01
01
10
11
10
00
10
10
00
10
01
00
01
11
11
11
00
11
11
10
00
00
10
01
10
10
00
11
01
11
00
00
10
00
01
00
11
10
00
01
01
11
01
00
10
10
01
00
01
10
10
00
01
11
10
01
00
01
00
10
11
00
00
00
00
10
00
01
11
11
01
10
11
10
01
01
10
10
01
10
00
10
11
11
00
00
10
00
10
00
01
10
10
01
11
00
01
11
10
00
10
10
00
00
11
10
01
00
01
10
11
00
00
01
10
10
00
00
10
10
11
00
10
10
10
11
00
00
01
10
11
01
00
01
10
10
11
10
11
00
00
11
10
10
10
10
01
01
00
01
10
10
01
11
11
01
10
11
11
11
00
11
10
00
00
10
00
01
01
10
10
00
00
10
10
00
10
11
11
11
00
01
00
10
00
11
10
01
10
11
00
00
00
10
00
10
10
10
01
00
10
11
00
01
01
10
10
10
00
00
00
10
10
10
00
00
11
00
11
11
00
10
01
10
11
10
00
10
10
10
10
10
00
00
10
01
11
11
00
00
00
00
10
00
00
11
10
01
11
00
11
00
00
10
10
01
10
11
00
00
00
00
01
00
01
10
11
10
00
11
00
10
10
00
10
10
10
01
00
00
10
10
10
01
00
10
11
10
01
10
11
10
00
01
00
00
10
11
01
00
10
10
10
00
10
11
00
01
00
00
00
00
11
01
10
10
00
11
10
01
00
00
10
10
10
10
01
00
01
10
10
10
10
00
11
10
00
00
00
11
11
10
11
00
01
11
10
00
00
10
11
01
00
11
10
01
10
11
01
10
10
00
00
11
00
10
10
01
10
10
00
00
01
11
11
11
00
10
10
00
00
10
01
11
10
10
10
11
00
10
01
11
00
10
11
00
00
01
10
10
11
00
00
10
11
10
00
00
11
01
10
10
00
00
00
10
01
01
10
10
11
01
11
11
00
01
10
10
00
10
10
10
00
01
00
10
11
00
11
01
00
01
11
00
11
10
10
11
01
01
01
11
11
00
10
11
11
01
00
10
10
11
00
11
10
00
00
01
11
00
01
10
10
00
01
10
11
00
01
10
11
10
11
10
00
01
10
10
00
10
11
00
10
00
01
10
10
11
10
00
00
10
01
11
10
01
11
01
00
00
10
10
10
10
10
00
00
11
00
01
01
01
10
10
10
00
01
10
00
00
00
11
00
10
10
00
00
10
10
10
00
00
10
01
00
00
10
10
10
00
10
10
10
11
00
10
10
10
00
11
00
01
00
01
11
10
10
01
00
10
01
11
10
00
01
00
01
00
01
11
10
00
00
00
11
10
00
11
11
00
10
00
00
11
00
00
11
11
00
10
10
11
11
00
10
10
11
11
00
00
10
11
00
10
10
01
00
10
10
00
01
00
00
00
00
01
11
10
10
10
11
11
01
00
10
10
01
01
10
11
01
00
10
10
01
01
01
00
00
10
11
11
10
11
10
00
00
10
01
01
10
11
00
00
00
01
11
11
10
00
00
00
00
11
11
10
10
11
10
00
11
10
00
10
10
01
10
10
00
00
00
10
11
00
10
10
10
11
01
10
10
01
00
00
10
01
00
11
10
10
00
00
00
10
11
01
01
10
00
11
10
11
11
10
01
10
10
01
00
00
00
00
10
00
00
00
11
11
11
11
00
10
01
11
01
00
10
11
11
00
11
10
01
00
00
00
00
11
00
01
10
10
00
10
01
00
11
00
00
00
00
11
10
00
00
11
11
00
10
11
00
10
10
01
00
11
00
01
10
10
01
01
01
10
01
00
00
10
10
11
10
00
00
00
01
11
10
00
01
10
11
10
10
00
00
10
11
00
10
11
00
10
10
00
00
10
11
00
11
01
10
00
00
00
11
10
01
00
01
00
11
11
01
00
10
11
00
00
10
10
01
10
10
00
10
10
11
00
11
10
10
00
00
10
10
00
01
10
10
00
01
10
01
10
10
01
00
01
00
01
10
10
00
01
00
10
10
00
00
01
01
00
11
11
11
01
10
10
11
00
10
10
00
00
10
10
11
00
11
00
00
11
01
01
00
01
00
01
10
00
00
11
10
10
11
01
00
00
10
10
01
00
00
10
10
00
01
01
11
10
01
10
11
10
00
00
11
10
01
10
10
00
01
11
10
01
00
10
10
10
10
00
00
00
00
10
11
01
01
10
01
10
00
10
00
00
11
10
01
01
11
10
01
10
11
00
00
10
10
00
00
01
11
01
10
10
10
10
10
11
00
00
11
01
00
00
00
01
01
11
10
00
01
10
01
00
00
11
10
00
11
00
00
00
00
10
00
00
00
01
01
10
00
10
11
01
10
00
11
10
10
11
10
00
00
11
10
11
00
10
00
00
00
11
10
00
11
01
00
01
10
10
01
01
00
00
00
10
10
11
01
00
01
00
00
00
00
10
10
00
01
01
10
10
10
01
10
10
01
00
10
00
01
10
10
10
00
01
01
10
01
00
01
10
10
10
10
01
00
00
11
10
01
11
01
10
10
11
11
00
10
01
00
11
10
10
01
01
11
01
10
10
00
10
10
00
01
10
00
00
00
11
01
01
10
01
00
01
01
11
10
11
00
10
01
00
00
01
10
10
11
00
10
10
00
01
00
10
00
11
10
00
10
10
11
00
10
01
10
10
01
00
10
10
00
10
10
00
00
00
00
01
00
00
11
01
11
01
00
11
10
01
10
10
00
00
11
10
10
01
00
00
01
10
11
00
00
11
10
11
10
11
00
11
00
00
10
10
10
10
10
11
11
00
00
10
10
00
00
01
10
11
00
00
10
10
00
01
01
10
10
01
10
00
01
11
10
00
00
10
10
10
00
11
10
00
10
01
00
00
00
00
00
01
00
10
00
00
10
10
10
00
00
11
10
00
11
10
01
00
11
10
10
00
00
00
00
00
10
00
10
10
10
10
00
00
10
10
01
11
10
10
10
00
00
10
11
10
10
01
10
10
10
11
00
00
11
01
01
01
10
11
00
00
00
01
10
01
10
10
10
10
11
00
00
01
10
11
11
10
10
11
00
01
10
01
01
00
10
10
00
01
11
10
11
00
00
10
00
11
00
10
10
00
01
10
01
10
01
11
01
10
01
10
11
10
00
11
10
01
00
00
10
00
00
10
00
00
10
10
10
01
10
01
10
10
10
00
10
11
00
00
01
01
10
10
01
11
01
00
11
11
00
01
01
00
10
00
11
10
11
00
00
00
10
10
10
00
00
10
01
00
00
11
00
11
01
11
10
01
11
10
11
00
01
10
00
00
00
11
10
00
00
10
10
01
00
10
00
10
11
00
00
00
10
10
10
10
00
10
10
10
00
00
00
10
10
11
00
10
10
01
10
10
00
01
00
11
01
11
01
00
00
10
10
10
01
00
10
01
00
01
01
10
00
10
00
00
10
10
00
01
00
00
11
00
10
01
01
00
01
11
01
10
11
10
10
10
00
00
10
10
01
00
00
11
00
01
00
10
10
10
00
00
00
00
10
11
00
00
01
01
10
01
01
00
01
11
01
01
10
10
10
01
00
10
11
01
01
00
10
00
00
10
11
10
00
10
10
10
10
01
10
10
00
00
10
00
01
11
11
00
01
10
11
10
00
01
01
11
10
11
01
01
00
11
11
00
00
00
00
11
10
01
01
00
10
10
10
10
00
00
11
10
00
10
10
01
10
01
10
10
00
01
11
00
10
11
00
10
10
01
00
01
11
10
10
00
10
11
00
01
00
01
00
00
00
10
11
01
00
10
00
11
10
00
10
00
10
10
11
10
10
11
00
00
10
10
00
00
01
10
10
10
00
10
10
00
10
00
11
10
00
00
10
01
10
11
00
00
00
01
00
10
10
01
10
10
00
10
10
00
11
10
10
00
11
10
00
00
01
00
10
00
00
00
11
00
11
10
11
10
00
10
10
01
10
01
01
11
10
00
11
10
11
00
00
11
11
00
01
11
01
10
01
00
00
10
10
11
00
01
11
00
01
11
00
01
10
11
01
00
00
11
11
01
00
10
00
10
11
01
00
00
01
10
11
00
00
11
00
11
01
00
00
10
01
01
00
11
11
01
10
10
10
10
01
00
00
01
10
11
10
10
10
10
00
01
00
10
10
00
00
10
00
01
10
10
10
10
01
11
10
00
00
10
10
10
00
10
00
11
10
11
11
00
10
10
10
00
00
00
11
11
11
00
11
10
00
00
00
10
11
11
00
11
10
01
10
10
00
10
00
00
11
10
10
01
10
10
01
01
10
01
01
10
10
01
00
11
00
01
10
11
00
01
11
10
01
01
11
00
01
10
10
00
01
10
10
10
10
10
01
00
10
00
00
10
00
00
11
11
10
01
00
11
11
01
00
11
11
00
00
10
11
00
00
10
01
10
00
00
11
00
01
00
00
10
01
10
01
01
11
10
01
00
10
10
01
01
10
10
01
10
10
10
10
00
01
01
00
00
10
11
00
00
11
00
10
10
10
10
10
10
00
10
00
00
01
10
00
11
01
01
01
01
10
10
01
10
10
01
01
11
10
10
10
10
10
00
00
10
00
11
10
10
01
00
00
00
10
10
10
10
01
10
00
10
11
00
00
00
10
11
10
11
01
10
11
00
10
00
00
10
10
01
01
01
01
01
00
00
10
10
01
00
01
00
00
10
10
00
00
00
10
10
00
00
01
10
10
11
10
01
10
01
11
00
00
00
01
00
11
10
00
11
11
11
00
01
10
10
10
10
01
00
11
00
10
11
11
11
11
00
10
10
10
01
01
11
10
10
01
01
10
00
00
11
01
00
10
11
00
10
11
10
10
00
10
01
00
00
10
11
01
01
00
11
01
00
10
11
01
00
10
10
11
10
10
00
10
00
10
11
11
11
01
00
00
00
00
10
10
00
00
10
00
11
00
00
01
11
10
10
01
00
10
10
01
01
00
11
00
10
01
01
00
10
00
00
01
00
10
11
10
10
00
11
10
00
01
00
00
00
10
10
10
10
11
11
11
01
10
11
00
00
00
10
00
00
11
01
00
10
01
00
10
11
00
01
10
00
11
11
00
01
00
11
10
10
00
00
10
10
00
11
10
00
10
10
11
10
01
01
10
10
10
00
10
01
00
01
00
01
10
10
00
01
10
00
10
11
01
11
10
01
01
00
10
11
10
10
00
01
00
10
01
01
11
00
00
10
11
00
00
10
11
00
11
10
10
11
01
00
10
01
11
00
00
10
01
00
01
10
11
00
00
00
10
10
00
10
10
10
10
00
01
10
00
10
01
00
00
01
10
11
00
00
10
10
10
00
00
00
00
10
11
10
11
10
01
00
11
00
00
10
11
00
10
10
00
01
11
10
00
10
00
00
00
10
10
11
00
10
00
10
10
00
10
10
10
10
00
00
10
10
01
01
10
00
11
00
11
00
00
10
10
00
11
10
00
10
10
00
10
10
11
00
00
00
01
11
01
00
10
00
11
11
01
00
10
11
11
10
00
00
10
00
11
10
10
10
10
01
00
00
10
11
00
11
11
00
00
10
10
01
00
11
11
00
10
10
00
10
01
01
00
10
00
10
00
00
00
10
10
01
10
10
11
11
00
10
11
10
01
00
11
10
01
01
10
10
00
01
10
10
01
00
01
00
01
10
00
10
10
10
00
00
10
00
10
11
00
11
00
10
00
00
00
00
11
10
10
10
01
00
01
00
10
10
00
00
01
10
10
00
00
00
01
11
10
00
11
00
10
01
10
00
00
10
11
11
10
10
00
00
01
10
00
00
10
10
00
00
01
10
10
11
00
01
01
11
11
11
00
01
10
10
10
00
00
10
00
00
00
11
00
10
01
10
10
00
10
10
00
00
10
10
11
11
10
00
11
00
01
00
11
01
11
10
01
00
10
00
10
11
01
10
10
00
01
00
01
00
11
00
10
10
11
00
01
11
11
10
01
00
11
10
00
00
11
00
00
11
00
01
10
10
01
10
11
01
01
00
10
10
01
11
00
01
10
10
00
11
11
00
01
10
01
10
01
00
10
10
11
10
00
00
00
00
10
00
01
00
00
00
10
10
10
01
10
11
10
00
00
00
01
00
00
10
00
00
10
10
10
00
11
00
01
11
10
00
10
10
01
11
10
01
00
00
11
10
00
00
00
00
00
11
11
10
10
00
00
01
01
00
00
00
11
11
01
10
11
00
10
00
10
01
01
11
10
01
00
00
01
00
00
11
00
10
11
11
00
10
10
11
00
11
01
01
11
10
10
00
10
10
01
01
11
00
10
10
10
00
10
10
00
01
10
01
01
01
00
01
00
01
11
10
00
00
11
11
10
00
11
11
00
01
00
11
00
00
10
11
10
00
10
10
10
01
00
00
10
00
10
01
11
01
00
11
10
10
00
00
11
01
00
11
01
00
00
00
11
10
10
00
01
11
11
01
00
10
10
00
11
11
01
10
11
01
00
10
10
00
11
00
00
00
10
10
10
00
10
10
01
11
00
11
00
10
10
00
00
11
00
01
11
00
11
10
01
10
01
01
10
00
00
11
00
10
11
11
11
10
10
11
10
01
10
01
11
11
10
10
10
10
00
10
01
01
10
11
10
10
10
00
10
00
00
11
10
00
01
10
11
00
01
01
10
01
00
11
10
00
00
01
10
10
10
10
00
00
10
10
11
01
00
00
01
10
10
11
11
10
10
00
00
10
10
11
00
11
10
00
11
01
01
11
10
00
00
10
10
11
10
01
00
10
01
10
11
00
11
10
00
10
11
00
00
01
11
00
00
00
00
00
01
10
10
11
00
10
00
00
00
01
10
10
10
00
10
10
00
00
00
10
01
10
00
00
10
00
10
00
11
10
10
10
00
01
01
10
10
01
00
01
00
00
00
01
01
01
01
10
10
10
01
00
10
10
00
11
10
00
01
11
10
01
11
11
10
11
10
11
10
01
01
10
00
01
00
11
10
01
00
11
11
00
00
11
00
00
01
10
00
00
10
11
00
10
10
00
00
11
10
00
01
10
10
10
10
10
01
00
00
01
01
00
10
00
00
00
11
10
00
00
10
01
11
01
01
00
10
01
00
00
10
10
00
00
10
11
00
00
10
00
00
00
01
10
00
00
00
00
10
10
00
11
10
11
10
00
01
11
11
00
01
10
10
11
00
00
10
10
00
00
00
00
00
10
11
00
01
10
11
00
11
00
00
00
01
00
10
00
00
11
00
11
00
11
10
00
00
11
10
01
10
10
00
10
11
01
01
10
00
10
00
00
10
11
00
11
00
11
10
10
00
01
00
00
10
11
11
00
11
01
01
00
10
00
00
00
11
00
01
10
01
10
10
10
00
00
11
10
00
10
10
00
00
11
00
11
11
01
10
10
11
00
01
10
01
00
00
11
10
10
00
10
10
00
00
01
10
10
01
10
01
10
00
11
01
10
00
01
10
10
00
01
01
00
11
00
11
10
01
11
11
11
00
10
10
10
11
00
00
11
00
11
10
00
11
10
11
00
00
10
10
00
00
00
10
01
11
10
00
00
11
01
00
10
11
10
01
00
01
00
10
11
10
10
10
11
00
10
11
10
10
00
00
11
10
00
00
00
00
00
00
00
01
10
01
00
10
00
10
10
11
10
00
10
10
10
00
11
10
00
00
00
00
11
00
00
10
00
11
10
01
01
10
00
01
00
11
00
00
11
00
10
11
00
00
00
11
00
00
00
00
01
00
10
11
00
01
01
01
10
10
00
00
11
10
10
00
10
01
01
10
01
10
01
00
01
11
11
00
11
10
01
01
11
00
00
10
11
01
01
00
10
01
01
10
10
10
00
10
00
01
10
01
11
00
00
10
10
01
00
10
01
10
10
10
10
11
10
00
00
01
00
00
00
10
11
00
11
00
10
00
00
00
10
11
00
10
11
00
00
11
10
00
01
11
10
01
11
10
01
11
00
10
10
00
10
10
00
01
00
11
11
00
10
11
00
00
11
10
11
00
10
10
11
00
00
11
10
10
11
00
00
10
00
11
11
10
00
10
00
10
11
10
11
01
00
10
10
00
10
01
00
00
10
10
00
10
10
10
10
11
10
11
10
00
10
10
11
00
10
10
10
11
01
00
10
00
00
00
01
10
01
00
00
10
00
00
01
00
10
11
11
01
00
01
01
10
10
11
00
00
00
10
00
00
11
00
11
11
10
11
00
10
01
01
10
10
10
00
10
01
10
00
00
00
01
11
10
10
11
10
00
01
00
00
11
00
11
11
10
00
01
10
00
00
00
11
10
01
00
00
10
01
00
10
00
01
10
10
01
00
10
01
10
10
00
01
01
10
10
10
00
00
10
00
10
10
00
00
00
10
10
00
11
10
00
00
00
10
00
01
11
00
11
10
00
10
10
10
00
11
10
10
10
10
10
01
01
00
00
11
10
10
00
10
01
10
01
10
10
11
00
00
10
00
11
00
01
00
10
11
00
10
10
01
00
00
00
10
10
01
11
00
01
10
00
11
00
01
01
10
11
10
11
00
10
11
10
11
11
11
01
00
01
01
10
10
10
00
00
01
10
11
10
10
01
10
00
10
11
01
00
00
10
10
01
01
00
10
01
10
10
10
01
10
00
01
00
01
11
00
10
11
00
00
10
10
00
00
11
10
10
00
10
10
00
10
10
01
00
11
11
00
00
10
10
01
10
10
11
10
10
10
11
00
00
00
01
10
10
11
00
11
01
00
00
10
10
10
00
00
00
00
11
10
00
01
00
10
11
11
00
00
00
10
11
00
00
01
10
10
10
00
00
11
11
10
00
00
11
11
00
01
00
00
00
10
10
10
00
00
10
11
10
11
00
01
11
01
00
10
11
01
10
11
10
10
00
00
00
00
10
10
10
00
10
00
01
10
10
11
00
00
01
10
01
11
10
01
10
01
10
00
11
11
00
11
10
11
01
01
10
00
01
10
00
00
10
10
11
01
01
10
10
01
11
11
10
10
00
11
00
01
10
11
01
00
10
10
00
10
00
00
00
01
11
11
11
00
10
10
00
00
10
10
00
01
11
10
11
00
01
00
01
10
00
11
00
10
00
00
10
10
10
10
00
00
10
10
01
00
10
10
00
10
10
00
00
00
11
00
10
01
00
00
00
10
10
00
10
10
11
00
00
00
00
10
00
10
11
00
01
00
10
10
11
11
01
10
11
00
11
00
01
00
11
01
00
10
11
00
01
01
10
10
01
10
11
10
01
00
10
10
01
11
10
00
00
00
00
10
00
11
00
00
00
10
01
10
00
00
10
01
11
10
10
10
01
00
00
11
00
00
01
01
10
01
01
10
10
00
10
11
01
10
10
01
00
00
00
10
00
00
10
01
10
00
10
01
11
00
11
01
01
11
01
10
10
11
01
10
00
00
10
10
11
01
10
01
10
01
10
01
01
10
10
11
00
01
10
01
01
01
11
10
10
00
00
01
01
10
11
00
00
00
10
10
10
10
11
10
10
00
10
01
00
01
10
10
01
10
00
11
10
00
10
11
10
10
00
00
10
11
00
10
00
11
01
00
01
11
10
11
10
10
00
00
11
10
10
00
00
10
11
00
00
00
10
11
00
00
10
00
01
01
00
01
11
01
00
11
11
00
00
11
11
10
00
01
10
10
00
00
01
10
10
00
01
11
10
00
01
10
00
10
10
10
00
00
11
01
10
00
11
00
10
10
00
01
10
10
00
11
10
10
00
00
11
00
00
01
00
11
00
11
01
01
10
00
10
11
01
01
10
10
10
01
00
10
00
11
10
01
00
11
00
00
01
10
00
00
10
10
00
10
11
00
00
00
10
00
01
10
00
01
01
01
00
10
10
00
00
10
11
00
01
01
10
00
00
00
11
10
00
10
01
10
01
10
00
10
11
10
01
10
11
11
00
00
11
11
10
10
01
00
10
10
10
11
10
00
00
00
11
11
00
00
10
00
00
01
00
01
00
01
11
00
10
00
01
10
01
00
10
01
00
11
10
00
00
01
00
00
11
10
01
00
01
00
01
00
11
00
00
10
00
10
10
00
11
11
10
00
00
10
01
00
01
11
01
11
11
10
11
10
00
11
10
00
00
11
10
01
10
10
01
01
00
00
01
10
11
10
11
00
00
10
11
10
11
10
00
01
00
11
00
00
10
00
11
00
10
00
11
00
01
00
10
10
00
00
00
11
11
00
00
00
01
11
10
11
01
00
01
10
00
00
10
00
10
01
10
10
00
10
01
10
01
00
00
00
00
01
11
00
10
00
00
10
11
00
01
00
01
10
10
00
10
00
01
00
11
10
00
10
10
10
01
00
10
10
01
00
01
11
10
10
00
10
10
00
01
10
10
00
01
10
10
10
00
10
00
00
10
00
00
00
10
00
00
00
00
00
10
00
00
10
11
10
10
00
00
01
10
01
11
01
10
10
00
01
00
11
11
00
10
00
10
00
10
01
10
11
11
00
00
10
10
00
10
00
00
10
11
00
11
00
10
10
11
00
11
10
00
11
00
01
00
10
00
00
10
01
00
10
10
10
10
10
10
10
01
11
00
00
01
10
10
11
11
00
01
11
11
10
01
01
00
10
10
00
10
00
01
00
00
10
10
10
10
10
10
01
00
11
00
10
10
00
00
00
11
10
10
00
11
10
11
00
01
11
11
00
00
00
11
00
00
00
00
11
00
11
10
10
11
11
00
10
00
00
00
00
10
11
10
00
01
11
11
10
01
00
10
11
10
00
01
10
01
01
00
10
00
10
00
01
10
01
00
10
10
01
01
10
00
01
11
00
00
00
00
10
00
11
11
10
10
10
00
10
00
00
10
11
01
11
11
00
11
00
00
11
01
00
10
10
11
10
00
00
00
10
00
00
01
11
00
00
10
11
10
11
11
10
01
10
10
01
01
11
10
00
00
00
11
10
00
11
00
00
00
10
10
10
11
00
01
10
10
00
11
01
11
10
00
10
01
10
01
00
01
01
11
10
01
00
10
10
00
01
10
00
00
11
01
00
00
10
01
11
00
10
11
00
00
11
00
10
10
10
00
10
11
00
00
10
11
01
10
01
01
00
01
01
10
01
10
10
00
00
10
11
11
01
10
10
11
10
10
01
00
11
10
01
01
00
00
01
10
11
10
10
10
10
10
01
10
00
00
10
10
00
11
11
00
01
00
00
01
01
00
00
11
11
10
00
01
10
00
11
01
10
01
11
10
01
00
10
01
10
10
00
00
10
00
01
11
00
01
00
01
10
00
00
11
10
01
00
10
10
10
10
11
10
01
10
11
10
11
00
11
01
00
00
01
00
10
00
00
10
00
01
10
01
00
10
10
11
01
10
11
01
10
11
00
00
10
11
00
00
10
10
10
00
11
10
10
11
10
10
01
00
10
10
00
00
01
01
00
10
00
00
11
01
00
01
10
11
11
10
11
00
00
11
10
00
00
10
11
00
10
10
00
01
00
01
00
00
00
01
10
00
10
10
11
10
01
01
00
10
10
10
01
00
10
10
11
10
01
00
01
00
10
10
01
10
10
00
10
10
00
00
11
00
00
10
00
00
01
01
01
11
00
10
01
00
11
01
01
10
00
00
10
11
00
00
10
11
10
10
00
00
11
00
11
11
00
00
10
00
10
10
00
00
10
00
00
11
00
10
10
10
10
00
00
10
10
10
01
11
01
01
10
10
00
01
00
11
10
00
01
00
10
11
11
00
01
00
01
10
10
10
10
10
11
00
00
00
01
10
10
00
00
10
01
00
11
10
11
00
11
10
00
10
11
11
00
00
11
10
01
11
10
01
11
01
01
00
10
10
10
01
00
10
11
10
01
10
11
00
01
00
00
00
11
11
10
01
01
01
10
10
00
11
01
10
10
00
00
10
10
00
10
01
10
00
00
01
01
01
00
10
00
00
10
11
11
00
00
10
11
00
10
10
11
10
00
10
00
10
10
10
00
10
01
00
01
10
01
01
00
00
10
10
10
10
10
00
01
11
00
01
01
00
00
00
10
00
10
10
01
00
10
10
10
00
00
10
11
10
00
10
10
01
11
11
00
00
10
00
10
10
11
00
10
00
00
11
00
11
11
10
11
10
01
11
00
01
10
10
10
00
01
01
00
10
11
00
01
00
10
10
10
01
00
11
10
01
00
00
00
11
01
00
10
10
11
10
10
10
00
01
10
00
01
10
10
00
11
00
01
01
10
00
10
01
01
10
10
11
00
00
10
11
10
10
00
01
11
10
01
10
00
00
01
00
10
10
00
10
10
00
00
00
10
00
11
00
10
00
01
10
10
11
10
10
00
01
01
00
00
10
01
10
10
00
11
10
00
10
00
10
11
00
00
10
01
00
11
10
10
10
11
11
00
10
10
01
00
01
00
10
10
00
01
00
11
10
11
00
11
10
10
00
00
00
11
10
11
00
00
10
00
10
10
00
00
11
10
01
00
11
10
01
10
00
00
00
00
10
10
00
11
00
01
11
10
10
11
11
00
00
10
00
00
10
01
00
01
10
01
10
00
11
10
00
01
10
11
10
01
01
00
10
10
01
01
10
11
00
10
10
00
10
00
00
11
00
00
10
10
01
10
01
00
10
01
10
10
00
00
10
00
10
10
00
00
10
11
11
01
11
00
10
00
01
10
10
00
01
11
00
10
10
10
00
01
10
00
11
10
11
00
01
00
01
10
11
11
01
00
00
00
10
10
01
01
00
00
11
00
10
10
01
00
00
01
11
00
01
11
10
10
01
00
00
01
10
11
11
10
00
00
01
11
10
00
00
10
00
10
10
11
00
10
11
00
00
10
00
00
00
00
10
00
01
10
00
00
10
00
00
00
11
10
00
11
10
10
10
10
00
11
10
10
00
01
10
10
10
10
10
00
11
00
01
10
01
00
00
01
00
00
10
00
00
01
10
10
01
00
01
00
00
10
11
00
01
00
10
10
10
10
10
00
00
11
11
01
10
11
11
00
11
10
00
00
10
00
10
11
00
11
01
10
11
10
10
10
00
00
10
01
00
10
00
00
00
00
00
11
11
10
11
00
10
00
00
10
11
11
00
00
11
10
00
11
10
10
00
01
10
10
01
10
00
10
11
10
10
00
00
00
10
10
01
10
10
00
01
00
10
01
00
00
00
10
01
01
01
00
10
10
00
10
10
00
00
10
10
10
10
11
11
10
00
00
11
00
11
10
10
10
01
00
10
00
01
11
00
01
01
00
10
00
10
11
10
00
10
00
01
11
10
11
01
10
10
00
10
00
00
10
00
10
00
00
11
10
00
10
00
00
10
11
01
11
10
11
00
11
01
10
10
00
00
11
11
00
00
10
10
00
00
11
10
11
00
10
00
01
10
11
10
01
00
00
01
01
10
00
00
11
10
10
11
10
00
10
00
00
00
11
01
10
10
01
10
10
11
00
00
11
10
00
01
00
10
10
00
00
00
00
11
01
00
10
11
00
10
00
00
10
10
00
10
00
01
10
00
01
10
10
10
10
10
01
10
10
00
10
10
00
10
01
11
11
00
01
10
10
00
10
00
00
01
10
11
00
01
11
00
01
11
01
10
01
10
11
00
11
00
10
11
00
01
11
10
00
00
10
00
00
10
01
11
01
11
11
00
11
00
11
11
01
00
01
01
10
10
00
00
00
00
10
11
10
00
11
00
00
11
10
00
11
00
00
11
00
10
01
11
00
10
10
01
00
01
00
11
11
01
00
01
01
10
11
00
00
10
10
01
00
00
11
10
10
10
10
00
00
10
00
00
00
01
11
11
01
01
01
10
11
10
00
00
10
10
00
00
10
01
10
11
01
11
01
10
11
10
10
01
11
01
10
00
01
10
11
00
00
11
10
11
01
01
01
00
10
10
00
00
10
11
00
00
00
10
11
01
11
00
00
11
00
10
10
01
00
01
10
10
11
11
10
00
01
11
01
10
00
00
10
01
00
10
10
10
10
00
01
01
01
01
10
10
10
00
11
00
01
10
00
10
11
01
10
10
00
00
01
01
01
10
11
01
01
01
00
00
10
00
01
00
10
10
00
11
01
10
00
00
10
10
11
00
00
01
11
10
00
00
10
00
00
00
11
11
00
00
10
00
10
01
00
00
11
10
00
11
10
00
00
10
00
10
00
01
01
10
11
10
10
01
00
10
00
01
10
10
00
00
10
10
10
00
11
10
01
10
10
10
11
10
01
01
00
10
10
01
00
01
10
01
10
00
10
10
00
00
10
11
11
10
00
10
00
00
10
10
10
00
00
11
10
11
11
10
01
10
11
01
01
10
00
00
10
11
00
00
10
10
10
11
00
00
10
10
10
10
11
10
00
10
01
00
00
00
00
10
11
00
00
11
00
11
00
01
00
01
11
00
11
00
01
11
00
00
10
11
11
11
00
11
10
00
10
00
01
10
01
00
00
10
11
11
10
11
10
00
10
10
00
01
00
10
00
00
01
11
00
11
10
00
01
00
10
11
10
00
00
01
10
10
00
00
10
00
11
01
00
00
01
01
10
01
11
10
10
00
00
00
10
00
00
10
01
00
00
10
10
00
10
11
01
10
10
00
10
00
00
10
00
10
11
10
00
01
10
10
11
00
11
10
11
01
00
00
10
10
00
00
00
10
10
01
00
00
00
01
11
10
10
01
10
00
00
11
00
10
01
11
11
01
01
11
10
00
00
00
10
11
00
00
11
10
11
00
00
10
00
01
00
10
11
00
01
10
11
01
01
11
00
00
10
10
00
00
11
10
01
00
00
00
11
00
01
01
10
10
00
11
00
10
10
01
11
00
00
10
00
10
00
00
10
11
10
00
11
10
10
10
10
00
10
00
00
11
11
00
01
11
01
00
00
10
00
01
11
10
00
00
00
10
11
10
01
00
01
01
00
11
10
00
10
10
01
11
00
01
00
01
00
00
10
00
00
11
10
00
00
10
11
10
00
10
01
10
10
00
01
00
01
00
10
01
11
10
01
01
10
11
10
10
11
00
00
10
11
00
11
10
00
10
00
00
10
00
00
00
11
00
10
00
10
10
01
10
11
00
00
10
11
10
01
10
10
00
00
00
11
11
01
11
10
11
01
00
10
01
11
10
00
00
10
10
00
11
01
00
11
00
11
10
00
00
00
10
10
00
10
10
00
00
01
01
10
10
10
00
10
11
11
01
01
10
11
10
10
10
00
00
00
00
11
10
00
00
00
00
00
11
00
01
10
01
00
10
00
00
01
00
10
10
10
10
11
10
01
00
10
10
10
00
00
10
11
00
10
10
10
01
01
10
11
10
10
01
00
11
10
10
01
10
01
01
00
00
11
10
01
10
10
10
00
01
00
00
10
10
00
10
01
00
10
00
00
10
10
10
01
01
11
01
00
10
10
10
10
00
00
00
10
00
10
11
00
10
10
01
11
10
10
11
11
11
00
01
01
00
11
01
01
10
11
00
10
00
00
10
00
10
10
11
00
11
10
10
10
11
10
00
00
11
11
00
01
00
00
10
10
00
01
10
10
10
01
00
00
10
00
11
10
10
01
00
10
10
11
01
10
01
01
00
00
01
11
10
00
01
10
10
00
00
10
01
01
01
00
10
00
01
11
10
01
00
00
10
00
00
10
10
00
10
01
00
11
00
00
11
10
11
00
10
00
00
00
11
00
00
10
10
00
00
00
00
11
10
11
00
11
10
01
01
00
01
00
11
10
10
00
01
10
00
10
11
10
10
01
00
11
10
10
00
01
10
11
01
00
10
00
01
10
10
10
00
01
11
01
11
11
00
01
00
10
00
11
11
10
00
00
00
10
01
00
10
10
11
01
00
11
10
10
01
00
10
00
00
11
00
00
10
00
00
00
10
00
10
01
11
01
10
01
00
01
11
10
10
00
01
01
10
10
11
10
10
00
00
10
11
11
01
10
10
00
01
11
00
00
10
11
00
10
11
10
00
10
00
00
11
00
11
10
11
00
00
10
00
00
00
00
10
01
11
00
01
10
01
00
00
00
10
00
10
11
01
11
10
01
00
10
10
10
00
01
10
11
10
10
10
10
00
01
00
11
10
01
01
11
10
01
11
10
10
01
00
10
10
00
10
11
00
11
00
00
11
10
10
00
01
00
11
10
11
01
00
11
00
10
10
00
00
10
10
01
10
00
11
10
00
00
10
00
01
00
10
00
00
11
10
00
11
10
00
10
10
00
01
11
11
10
00
01
01
01
01
11
10
00
11
10
11
00
00
10
00
00
10
10
01
10
10
00
00
00
10
10
00
00
01
00
11
01
00
01
00
10
00
10
11
11
00
00
00
00
00
10
11
10
10
00
00
01
10
10
00
00
10
11
10
00
10
01
01
11
00
00
10
10
00
10
10
01
11
00
00
10
10
00
00
00
01
10
10
00
00
00
11
01
00
01
11
01
01
00
10
10
10
00
00
00
10
10
10
00
11
10
00
10
10
00
01
01
11
10
10
01
00
01
00
10
11
01
00
01
11
11
00
10
11
00
00
00
11
10
10
01
00
01
10
10
10
00
00
00
10
00
00
11
00
11
11
00
00
11
11
11
10
01
00
01
01
10
11
01
01
10
11
00
00
10
00
10
00
00
11
00
00
10
01
11
01
01
10
11
10
11
11
00
01
10
00
10
10
00
00
10
00
10
11
11
10
00
10
10
10
01
01
00
00
11
10
00
10
11
01
00
11
00
00
10
00
00
11
00
10
01
11
01
00
10
00
00
00
00
10
10
01
00
10
00
11
10
00
10
10
10
10
01
00
00
10
10
11
01
10
11
10
10
11
00
10
00
10
00
00
11
00
10
11
11
01
00
10
01
10
10
01
10
11
00
10
00
00
11
10
10
00
10
01
01
10
00
10
10
00
00
11
10
10
10
10
00
00
01
01
10
10
00
10
10
01
00
00
00
10
00
01
10
01
11
10
10
00
00
10
11
00
01
10
01
01
00
10
10
10
10
11
10
00
01
00
00
10
00
11
11
10
01
00
00
01
00
00
00
00
11
11
01
00
10
11
11
00
11
11
01
00
11
00
11
11
00
00
00
00
10
00
00
00
10
11
01
01
00
01
01
11
10
10
01
11
10
00
11
01
10
00
00
10
11
00
00
11
00
00
00
10
10
10
10
00
10
01
00
01
00
11
10
00
00
10
01
10
01
10
11
10
11
00
01
01
11
10
00
10
01
01
01
10
10
00
01
00
10
11
10
00
01
10
10
11
10
01
00
11
01
10
01
10
11
10
10
01
11
11
00
00
10
10
00
10
11
10
01
00
01
01
01
00
11
00
00
00
11
00
10
00
00
10
01
10
00
01
10
10
10
01
00
10
10
00
00
11
11
11
01
10
00
10
11
00
11
10
00
00
10
10
10
10
00
00
11
10
10
00
00
00
10
00
10
00
00
10
10
10
10
10
10
10
00
10
01
00
10
10
00
00
10
10
00
00
10
10
10
00
10
10
00
00
00
01
11
10
01
10
00
10
00
00
10
11
00
10
11
00
10
00
00
10
11
00
10
11
11
10
00
11
00
10
11
10
10
10
01
00
10
00
01
01
11
00
00
01
00
10
00
10
10
00
11
00
10
01
01
10
01
10
00
10
11
10
01
10
11
10
10
11
11
01
00
10
10
00
00
00
10
11
11
00
10
10
11
10
00
00
10
01
00
01
01
11
01
00
01
00
11
11
10
01
00
11
11
00
10
01
10
10
00
00
10
11
00
00
10
01
10
11
00
00
11
11
00
00
01
00
10
00
10
10
11
01
00
11
01
00
00
00
10
01
01
11
11
10
00
00
10
00
00
11
10
00
11
00
01
01
01
10
10
11
00
00
10
10
00
01
10
11
00
00
00
10
10
01
00
11
10
00
10
00
00
00
10
00
10
11
00
00
01
10
11
01
10
10
11
01
00
10
11
01
00
00
00
10
00
01
11
11
10
00
00
01
10
11
00
00
10
10
00
11
10
00
01
11
00
00
00
11
10
10
00
00
00
01
00
11
11
00
00
10
10
11
01
01
10
01
10
10
01
00
00
11
00
10
10
10
10
01
00
10
10
00
10
00
00
01
00
11
11
10
10
00
00
11
10
00
01
11
10
00
10
10
10
11
00
00
00
11
10
01
01
11
10
11
00
01
00
10
00
01
10
11
00
00
00
00
00
11
10
00
00
10
00
00
00
10
10
00
00
10
10
00
10
10
01
10
00
10
00
10
00
00
00
00
11
01
10
10
00
00
10
10
00
01
10
10
10
00
00
10
01
01
00
01
00
11
11
01
10
10
00
01
10
10
11
00
10
10
00
00
00
11
11
11
11
10
10
01
01
10
11
00
00
00
00
10
01
00
10
00
01
10
10
01
00
11
11
10
10
10
01
11
00
00
00
10
10
11
00
01
10
11
10
10
10
01
00
11
10
10
10
00
10
00
10
10
00
10
10
11
00
00
11
10
00
10
10
00
11
01
10
11
10
00
00
01
01
11
10
10
01
10
00
01
00
11
10
00
00
11
11
10
10
01
00
10
11
01
11
10
01
00
00
11
00
01
01
00
11
11
10
10
11
00
00
00
11
10
11
00
00
10
11
00
01
10
01
10
00
11
11
10
01
10
01
00
00
00
11
00
00
10
11
11
00
11
10
00
10
10
10
00
00
11
01
11
00
10
11
00
10
00
01
10
00
00
10
10
00
00
10
00
11
10
00
10
01
11
10
01
00
00
10
10
00
10
10
10
11
11
00
00
10
00
11
11
00
01
00
11
00
00
10
00
01
10
11
00
00
01
11
00
00
10
10
10
10
10
10
01
10
01
00
00
10
01
10
11
10
11
10
10
00
00
01
01
01
11
00
00
10
00
00
00
10
10
00
00
10
10
00
10
00
00
01
10
10
01
01
10
11
01
10
10
10
10
11
01
00
10
00
01
01
01
00
10
11
01
11
01
00
10
01
10
11
10
00
00
11
11
01
11
11
01
00
00
11
10
00
01
00
10
10
10
01
00
10
01
00
11
00
00
11
00
01
00
00
10
11
10
00
11
01
01
00
10
11
00
00
10
01
00
10
11
10
00
01
10
00
01
10
11
00
10
10
00
00
10
00
01
10
00
00
00
10
10
01
11
11
10
00
00
00
10
01
00
10
00
00
01
10
11
00
11
01
10
00
00
10
10
00
01
00
11
10
00
10
10
00
11
10
10
11
01
11
10
10
10
10
01
00
10
11
01
10
10
00
11
10
11
00
01
10
00
00
01
10
11
10
01
00
01
10
01
10
11
00
11
01
11
00
01
10
11
01
10
10
00
11
00
00
10
01
01
10
10
01
10
10
10
00
10
00
00
10
01
00
11
00
00
10
11
00
01
01
10
01
01
00
00
10
11
10
10
10
00
00
00
01
10
01
00
01
01
01
11
00
01
10
11
00
01
10
10
10
00
00
11
10
10
11
00
01
10
10
01
00
10
00
01
10
10
11
00
00
00
00
11
10
11
10
11
00
01
11
10
00
00
11
01
10
10
00
00
10
10
00
00
00
11
00
00
11
01
11
10
00
00
11
10
11
10
00
10
01
00
01
10
11
00
01
01
00
00
10
00
00
01
01
10
10
00
01
01
01
10
10
10
10
11
00
01
10
10
10
01
00
10
11
00
00
10
10
10
11
00
10
11
01
01
11
01
00
00
10
01
11
10
00
01
10
00
10
10
00
00
10
11
10
01
00
01
10
10
01
10
10
00
00
10
10
10
01
11
00
00
10
01
11
10
00
10
00
10
11
00
01
11
10
01
01
00
11
11
00
01
10
01
00
10
10
10
00
00
11
10
10
11
01
00
11
10
01
00
00
11
10
10
00
00
11
10
10
10
11
10
01
01
11
00
00
00
00
10
10
10
00
10
01
01
01
00
10
11
00
10
10
10
00
00
10
00
00
00
11
11
01
11
00
10
10
10
01
00
10
10
01
00
10
01
01
00
00
10
00
10
00
00
10
10
10
00
00
00
10
00
00
10
00
10
00
11
11
10
00
01
10
00
00
00
10
10
00
01
10
11
00
00
00
10
10
10
01
00
01
11
10
00
10
11
00
10
10
00
01
01
01
10
10
00
01
10
11
00
00
10
10
00
11
10
01
00
00
11
10
10
11
00
00
11
00
00
10
11
01
00
11
00
10
10
10
10
00
11
10
00
01
00
10
00
11
00
10
10
10
10
00
01
10
11
10
10
11
00
00
11
10
11
01
00
00
00
00
00
00
11
11
00
00
01
00
00
10
00
10
01
10
10
01
10
11
01
00
00
00
10
10
10
00
10
11
00
01
11
00
00
00
11
01
10
10
10
01
11
11
01
01
11
11
00
10
10
10
00
01
10
11
00
01
00
00
10
10
10
00
10
10
10
01
10
11
01
11
00
01
11
01
10
10
10
00
00
10
00
00
11
01
01
00
00
01
01
11
10
00
01
10
01
11
11
00
00
10
00
00
00
10
10
00
01
10
01
11
11
10
10
10
01
11
10
00
00
01
00
00
01
10
10
10
00
10
10
01
00
10
10
01
01
10
11
10
10
00
00
01
00
01
11
11
10
11
10
01
01
11
10
10
10
00
00
00
11
11
10
00
00
11
01
00
10
10
00
00
10
01
01
10
10
11
10
00
10
10
00
10
01
00
10
10
00
11
11
01
10
10
00
10
00
10
00
00
01
10
10
01
10
10
10
11
10
01
11
10
10
00
10
10
00
01
10
11
10
00
00
11
11
01
11
11
11
01
11
10
10
01
00
11
00
10
10
01
01
10
00
00
11
10
00
00
01
10
10
01
00
10
00
10
10
10
11
00
10
11
10
10
10
00
10
00
00
10
01
11
01
01
00
11
11
00
00
00
10
10
10
00
01
00
00
11
00
11
00
00
10
00
11
00
10
01
00
11
00
11
00
11
11
01
10
10
10
11
10
00
00
10
10
01
00
10
10
00
10
10
11
00
01
10
00
00
00
00
10
11
00
01
01
10
10
01
10
00
11
11
00
11
11
10
10
10
11
00
01
01
01
10
01
00
10
11
01
11
11
10
00
00
11
11
10
00
00
00
00
00
11
01
10
11
00
00
10
01
01
00
01
10
00
10
10
00
10
00
00
00
00
11
10
10
10
01
10
00
01
11
10
10
10
00
10
10
00
01
10
10
11
01
10
10
11
10
00
10
11
10
00
01
00
00
00
00
10
00
10
11
10
01
11
10
11
10
00
01
00
10
10
00
11
10
00
10
01
01
10
11
00
00
10
11
00
10
00
00
00
10
10
11
10
00
10
10
00
11
01
00
00
10
10
00
11
10
10
10
10
00
00
11
00
10
01
10
10
01
00
10
00
00
10
01
01
00
10
10
01
01
01
11
01
01
01
00
00
10
10
01
00
10
10
10
00
00
10
10
11
11
00
00
00
11
00
00
10
00
10
11
01
11
10
00
00
00
01
11
00
00
11
10
10
00
10
10
11
10
00
01
01
01
00
01
00
10
01
00
10
00
10
10
11
01
01
10
00
11
00
01
10
10
00
01
01
00
10
10
00
00
00
11
00
01
11
11
00
00
11
00
10
10
00
00
10
10
00
01
01
01
00
10
11
10
00
10
10
00
01
10
10
00
00
01
00
11
01
00
10
10
00
01
00
01
10
11
00
10
00
00
11
10
10
01
00
01
10
00
11
00
01
10
01
00
10
10
10
11
00
01
10
11
10
01
00
01
00
10
01
10
10
00
01
10
00
00
10
00
10
10
00
11
00
00
01
10
01
10
00
00
11
11
01
11
11
00
10
10
11
11
11
01
01
10
00
10
00
01
10
10
01
10
11
11
10
00
01
00
11
10
00
11
10
10
10
01
00
00
11
01
10
00
10
10
01
01
11
11
00
10
00
00
01
10
10
00
00
00
10
10
01
00
10
10
11
01
10
00
11
10
00
10
00
10
10
01
00
01
10
10
10
01
11
11
01
00
01
11
10
11
10
01
00
10
10
10
00
00
10
10
00
10
10
00
10
00
01
11
11
11
00
00
00
10
11
00
00
10
00
01
10
00
00
10
01
10
00
00
00
10
00
10
11
10
11
00
01
10
10
10
00
10
10
10
00
11
10
00
10
11
10
00
01
00
11
11
00
00
00
10
01
00
11
10
00
11
00
00
00
10
11
10
10
00
10
10
00
00
01
11
00
11
00
01
11
00
01
10
10
01
10
11
00
00
10
01
10
00
10
11
11
10
00
10
01
00
10
11
11
01
00
01
00
00
01
10
01
10
00
00
11
11
10
00
00
01
10
00
00
10
10
00
01
10
00
00
00
10
01
10
10
01
00
11
10
01
00
10
00
00
10
10
10
00
10
10
00
00
00
10
10
00
00
11
00
10
00
01
00
10
01
11
10
01
10
01
11
11
00
00
11
10
01
10
10
00
10
11
00
10
10
00
00
10
00
00
01
01
00
10
10
10
10
00
00
00
11
10
10
00
10
00
00
01
11
00
00
10
10
01
10
11
00
00
00
10
00
00
00
00
10
11
10
11
00
10
10
00
10
01
10
10
00
01
10
00
01
10
11
00
10
00
10
10
01
00
00
11
11
00
10
00
10
00
00
10
10
00
10
00
00
00
00
10
10
00
01
01
01
11
00
10
10
10
01
00
11
10
10
00
00
10
11
00
00
00
11
00
11
11
00
10
01
00
10
11
10
00
10
10
01
00
01
10
01
01
00
11
01
10
00
10
10
01
10
11
01
00
10
10
00
10
00
01
10
10
10
01
00
00
10
10
01
01
11
11
00
00
11
11
11
10
01
10
01
00
10
00
01
00
10
01
10
01
11
11
00
00
00
00
10
10
11
01
11
10
10
10
00
11
10
10
00
01
00
10
11
00
10
10
01
01
11
10
10
01
01
11
11
10
10
01
10
10
00
00
01
10
10
00
10
00
11
00
10
10
11
00
01
10
11
01
01
11
01
10
00
10
10
00
10
11
10
11
00
00
10
11
01
01
11
10
00
01
11
11
10
01
10
10
01
00
00
00
10
10
10
10
10
00
00
11
11
10
11
00
00
10
00
01
10
10
10
10
00
11
01
10
10
00
11
10
11
00
00
10
11
10
10
10
00
01
10
00
00
10
00
10
11
01
00
01
10
11
10
10
11
10
10
10
00
00
00
00
10
00
00
01
11
00
01
00
10
11
10
01
00
10
10
00
00
10
10
01
00
11
00
00
11
10
11
00
00
00
11
10
00
01
00
10
00
10
10
11
10
10
10
00
00
00
10
11
00
00
10
00
01
10
00
00
10
11
10
00
01
10
00
10
10
00
10
10
10
10
00
10
00
10
10
10
10
01
11
11
01
01
01
11
00
11
11
11
00
01
01
10
01
00
10
10
01
01
11
00
01
00
11
10
11
00
01
11
00
00
10
10
00
10
11
01
01
00
00
10
00
01
10
00
00
11
11
10
10
11
11
11
00
00
10
11
00
00
00
01
10
11
00
11
00
10
01
00
10
11
10
00
10
00
00
01
01
10
10
00
00
10
11
00
01
10
00
00
10
01
00
10
11
10
10
11
00
10
00
01
00
01
10
00
00
01
10
11
11
00
00
00
10
00
00
10
00
11
10
01
01
10
01
00
00
10
10
01
00
00
10
00
00
10
10
00
00
10
11
10
00
10
10
10
00
00
01
00
01
00
01
11
11
10
11
10
01
01
10
11
00
10
10
10
00
01
01
11
10
00
00
01
01
10
10
00
00
10
10
00
00
10
01
00
10
10
10
11
01
00
01
01
11
10
00
01
01
01
10
10
01
00
00
10
00
01
00
10
10
01
00
00
10
00
10
10
11
10
00
00
10
00
01
11
11
11
00
00
11
00
10
10
00
10
10
00
00
01
10
01
00
00
10
10
00
11
01
00
00
00
00
00
10
10
10
00
10
10
10
10
00
01
10
11
10
00
11
10
10
11
00
01
10
00
10
10
10
00
10
11
00
11
00
01
10
11
00
10
10
11
00
01
00
00
10
10
01
10
10
00
10
01
10
10
11
10
00
01
10
01
01
10
00
10
01
00
01
00
11
10
00
01
10
01
01
01
11
10
10
01
00
11
10
01
01
10
01
00
10
10
00
00
01
10
11
11
10
10
10
11
00
10
11
00
01
00
10
11
01
11
10
00
00
01
10
10
01
00
00
00
00
00
01
01
11
10
00
00
00
00
11
11
00
00
00
01
00
00
01
00
00
11
10
10
00
01
10
01
01
10
00
01
01
10
10
01
10
11
00
00
11
10
11
10
11
00
11
00
10
00
01
00
10
00
00
10
01
10
10
00
00
10
01
01
00
11
10
11
01
11
01
01
11
01
01
11
10
01
01
00
10
00
11
10
00
00
10
10
10
01
00
01
10
00
01
10
10
10
00
00
01
01
10
10
01
00
00
11
01
00
10
10
10
10
10
00
10
11
11
01
00
00
10
01
00
10
10
01
01
10
11
00
00
01
01
01
00
10
10
00
10
01
10
10
10
00
00
01
00
10
00
00
10
00
10
10
10
01
01
00
11
00
00
10
00
01
11
11
10
01
00
10
01
11
01
01
10
11
10
00
00
10
10
10
10
00
11
10
01
00
10
00
00
00
11
10
01
11
01
01
01
10
00
10
00
10
10
00
00
10
11
01
10
00
01
11
00
10
00
01
00
10
10
10
11
10
10
00
10
10
10
10
00
00
01
10
10
01
00
00
10
10
00
10
10
00
10
11
10
10
10
00
00
00
11
10
11
10
01
01
00
10
11
11
00
01
00
01
11
11
11
01
01
10
00
11
00
01
00
01
11
11
10
10
10
00
11
10
00
00
10
00
11
00
01
10
00
10
10
11
00
00
10
00
10
01
11
01
01
00
00
10
00
00
10
10
01
10
01
00
10
01
10
10
00
10
10
10
00
10
11
10
00
00
00
10
00
00
11
10
00
00
10
01
00
00
10
10
11
01
10
11
01
10
00
11
00
10
10
00
11
10
10
00
01
01
10
01
00
10
10
10
11
00
01
10
01
11
11
01
10
00
10
01
00
10
10
00
01
00
10
10
00
01
11
00
00
00
11
00
10
10
11
00
10
10
00
00
01
00
10
11
00
00
11
01
11
11
01
00
11
10
11
10
00
00
10
00
00
11
10
10
11
10
10
10
00
00
00
11
00
10
10
00
00
11
11
00
00
10
10
10
10
01
00
00
10
11
10
00
10
10
10
01
10
11
00
10
10
11
10
11
11
01
01
11
00
01
11
10
11
00
01
10
10
10
10
10
01
00
11
10
00
00
11
10
10
00
00
10
11
11
11
10
10
00
10
00
01
10
10
11
11
00
00
01
01
00
00
11
00
00
00
11
10
11
00
10
01
00
10
11
00
00
11
01
10
11
01
10
10
00
01
01
10
10
00
10
00
01
10
10
10
00
00
00
00
00
10
11
00
00
10
10
10
10
10
00
11
00
10
01
00
10
00
11
10
01
10
01
10
10
00
10
01
00
10
01
10
10
10
00
10
10
01
10
00
00
10
10
01
11
10
00
10
01
00
10
00
10
11
10
01
01
01
01
01
10
10
10
00
10
10
00
00
00
01
11
00
10
10
10
01
01
10
10
11
00
11
10
10
00
10
10
00
00
00
10
10
11
01
01
10
10
01
10
00
00
10
10
10
00
01
00
11
10
10
00
11
11
10
10
00
00
10
00
01
00
10
00
00
10
10
11
11
10
11
00
10
10
01
01
00
00
10
11
01
11
01
11
11
00
00
00
11
10
10
00
01
00
11
00
11
01
00
00
11
01
01
01
11
10
10
10
10
00
00
11
10
00
01
11
10
10
01
00
01
00
01
10
00
00
11
00
00
11
11
00
10
10
00
01
10
10
01
00
10
11
10
10
10
10
00
10
01
01
01
10
00
01
11
00
01
00
10
11
00
10
10
10
10
00
00
10
10
11
10
01
00
10
10
01
11
10
01
00
00
11
10
10
00
10
00
00
00
10
11
10
00
10
00
10
00
00
00
11
11
11
11
00
00
01
00
10
00
01
10
00
01
00
01
00
11
10
01
10
00
01
10
11
00
01
00
01
11
10
00
00
00
10
00
00
10
00
00
00
10
10
10
10
00
01
10
01
00
11
11
10
01
00
10
10
10
01
00
00
10
11
00
10
10
11
00
00
00
00
10
11
10
10
00
00
10
01
01
11
10
01
00
10
00
01
00
11
11
00
11
00
10
10
10
00
10
00
01
00
01
10
10
00
10
00
00
11
11
01
00
11
10
10
10
11
00
01
10
01
10
00
10
00
00
10
00
00
10
11
10
10
00
00
11
11
00
01
10
10
11
01
11
11
00
01
00
11
10
00
01
00
10
10
00
00
01
11
01
00
11
10
01
00
00
00
10
00
00
01
10
00
10
10
00
10
00
00
00
10
10
10
10
11
00
10
10
10
10
10
00
01
10
00
01
01
01
11
10
01
00
00
10
10
00
11
10
10
11
00
00
01
10
11
00
00
10
00
10
00
10
00
00
10
00
11
01
10
11
11
10
11
11
10
10
00
00
10
00
11
10
10
00
10
00
10
11
00
00
11
00
00
00
00
10
11
00
01
00
11
01
00
11
11
10
00
11
10
10
10
01
00
10
00
01
00
11
10
00
10
10
10
00
01
10
01
10
00
00
10
10
10
00
00
10
11
00
00
10
00
10
01
00
10
00
10
00
11
10
00
00
00
11
10
11
00
00
10
11
10
00
10
11
10
11
01
01
00
00
01
11
00
01
10
11
00
00
10
01
00
10
10
10
10
00
00
00
11
00
01
10
00
01
10
00
10
01
00
10
00
11
11
10
10
01
00
11
00
10
00
10
10
11
00
00
10
10
11
10
11
00
00
10
10
10
10
10
00
01
00
00
01
01
11
10
00
01
10
01
01
10
10
10
00
11
01
01
01
11
10
01
10
00
10
10
00
01
00
11
10
00
01
00
10
01
11
10
10
00
10
10
01
10
01
00
00
11
10
01
00
11
10
00
10
00
00
11
01
10
11
01
00
00
10
10
01
00
11
00
10
10
11
10
01
10
10
10
01
00
10
00
01
10
01
01
11
10
00
01
00
11
00
01
10
11
10
01
00
01
00
10
11
00
10
00
00
11
10
10
00
00
10
01
11
10
00
01
01
00
00
10
11
10
00
00
10
00
01
10
10
10
00
10
00
10
01
11
10
01
10
11
11
10
10
11
00
00
00
00
01
00
00
10
10
00
00
11
10
00
01
00
00
10
01
10
01
10
11
00
01
00
10
10
01
00
10
11
00
10
01
00
10
00
00
11
10
10
00
10
11
11
01
00
10
10
00
01
10
00
01
10
10
10
01
10
00
01
01
00
10
10
11
10
00
00
11
10
00
10
01
01
11
01
10
00
00
10
00
01
10
10
00
00
00
10
00
11
10
00
10
00
10
10
00
00
01
10
10
00
11
01
00
10
11
11
10
10
00
10
11
00
00
11
00
01
10
11
10
00
00
11
00
01
00
10
11
00
01
10
00
01
11
10
00
10
00
10
10
00
01
00
10
11
10
00
11
10
00
00
11
00
11
00
00
00
00
10
10
11
00
10
10
01
10
10
10
10
01
10
10
00
10
11
00
10
10
11
00
10
01
00
10
11
00
10
00
11
00
00
11
00
11
00
00
00
00
11
10
01
00
01
00
01
00
11
10
00
10
10
00
00
10
10
00
00
01
01
00
11
01
00
11
10
00
00
10
10
00
00
10
01
00
10
00
10
00
10
00
00
01
11
10
00
01
10
00
10
11
00
00
00
10
10
01
11
11
11
10
10
10
01
10
00
01
10
00
00
11
01
00
10
10
10
00
10
00
00
00
10
00
01
10
10
00
01
10
00
00
10
01
11
00
00
10
10
10
01
10
01
01
01
10
10
10
10
00
00
10
11
01
00
00
00
10
10
01
00
11
10
00
00
11
00
10
10
00
11
10
11
11
01
11
00
10
00
11
00
10
00
01
11
00
00
10
01
00
11
00
00
10
10
01
00
10
10
11
01
11
11
00
00
01
10
11
00
00
00
10
00
00
11
11
00
00
00
10
10
00
10
00
01
01
00
00
10
10
11
11
00
10
00
10
10
00
11
01
00
10
00
11
00
00
00
11
10
00
00
11
01
01
10
00
10
11
11
00
01
10
10
00
01
10
10
10
01
10
00
11
00
01
10
10
11
10
01
00
00
10
01
00
11
01
10
00
01
10
11
10
00
10
10
10
10
00
00
10
01
00
00
10
00
01
10
01
00
01
01
10
11
01
10
10
11
00
01
00
11
00
00
00
00
10
01
00
11
11
10
11
10
01
11
10
01
01
01
01
11
11
01
10
01
01
10
11
00
10
10
00
10
10
00
00
01
10
10
10
00
10
00
01
11
10
11
01
01
10
00
00
00
11
11
10
00
00
00
00
00
10
10
00
11
00
10
00
10
00
00
11
00
01
10
10
11
11
00
00
00
11
00
10
01
11
00
01
10
00
01
11
00
00
00
10
00
01
10
01
10
00
10
00
10
01
00
10
01
10
00
01
11
00
00
00
10
10
10
01
11
01
00
11
00
01
00
01
11
10
01
01
01
11
11
00
10
10
01
11
10
00
01
10
00
10
11
11
00
00
00
01
10
00
10
00
10
00
00
10
00
00
00
10
00
10
01
01
00
01
00
00
10
00
01
00
10
10
10
01
00
11
01
01
01
11
00
10
10
00
00
10
10
00
00
10
00
01
01
01
00
10
11
00
00
10
00
00
10
01
11
00
11
01
01
10
01
11
00
01
10
10
01
00
11
00
10
10
10
11
01
01
10
00
10
11
10
01
00
10
00
10
01
10
10
00
01
00
10
00
00
10
10
00
10
01
00
00
11
00
01
10
00
01
00
11
10
11
01
10
10
10
11
00
00
11
10
00
00
00
10
00
00
10
00
00
10
01
10
10
01
11
01
00
01
00
10
00
11
10
10
01
00
00
11
00
00
11
10
01
10
10
00
10
00
10
10
00
10
10
10
11
11
11
10
01
00
11
00
11
00
00
10
00
00
10
00
00
10
10
01
01
10
01
11
10
01
10
00
10
00
00
01
00
10
11
00
10
11
00
01
11
00
10
00
10
10
01
00
00
10
01
00
01
10
11
00
00
11
11
01
00
11
11
01
10
10
00
01
10
00
01
10
01
11
00
00
00
01
11
01
00
11
10
10
00
01
01
10
01
10
10
00
01
01
10
10
01
01
01
00
11
11
00
01
10
10
00
10
11
00
00
00
00
10
00
10
10
10
01
00
11
01
00
10
11
10
01
11
10
00
10
10
01
11
10
01
10
00
10
01
00
01
00
10
00
01
11
00
01
10
10
00
00
10
01
00
10
10
00
00
10
10
10
10
10
00
11
10
01
10
01
01
11
10
00
01
10
11
11
10
00
00
00
10
00
00
11
11
00
00
00
01
00
10
10
11
00
00
10
00
00
00
00
11
00
01
10
00
01
00
01
10
10
01
10
01
11
10
00
10
00
00
00
11
10
00
00
10
11
11
10
10
00
10
10
00
01
10
11
10
01
00
01
01
11
10
00
00
11
00
00
01
10
11
10
10
00
00
10
01
11
10
01
10
10
10
11
10
10
00
10
10
00
10
00
01
00
10
10
00
01
00
01
01
10
10
10
00
01
01
10
10
00
00
00
00
10
11
10
10
00
00
10
10
10
00
00
01
00
01
00
01
01
00
00
11
10
01
10
11
00
11
00
00
00
10
10
00
01
10
01
10
10
10
00
11
00
00
11
10
01
01
00
01
10
10
01
00
00
10
10
01
10
10
10
00
01
00
10
01
00
10
00
11
10
11
01
01
00
00
01
10
10
00
10
11
11
00
01
00
10
00
10
00
10
10
00
11
10
11
11
10
10
00
11
10
01
00
11
01
00
10
01
01
10
10
10
10
10
11
01
10
10
00
00
00
01
11
01
10
10
00
01
10
10
01
10
10
10
00
00
10
10
01
00
11
01
00
11
00
10
10
11
00
00
10
10
00
10
10
00
11
10
00
10
01
01
10
10
10
10
00
10
10
10
11
11
00
01
11
00
00
01
10
10
01
01
10
01
11
10
11
10
00
00
11
00
11
11
01
00
01
10
00
00
11
11
00
10
10
11
10
01
11
01
01
10
10
00
01
11
00
01
11
10
10
01
01
00
00
10
10
10
10
10
01
00
10
10
01
00
10
10
11
00
01
01
00
10
10
00
00
00
10
10
00
00
01
00
00
11
00
11
01
10
01
01
10
10
00
01
01
01
01
10
00
10
01
10
10
10
00
00
11
10
00
10
11
10
10
00
00
01
11
10
01
10
10
00
10
00
10
10
00
00
11
10
01
00
01
00
10
10
01
10
01
10
11
10
00
01
10
01
00
10
11
10
00
00
11
10
10
00
10
10
10
11
00
10
10
00
11
00
00
00
10
11
10
10
11
00
10
01
00
00
00
10
10
10
10
00
11
01
00
01
00
01
10
11
00
10
10
01
10
01
10
00
11
10
10
00
00
10
00
10
10
10
00
01
11
11
01
00
10
10
01
00
10
00
11
10
00
10
01
10
01
01
11
00
11
00
10
10
01
10
10
00
00
01
10
10
10
10
00
10
01
00
00
01
01
11
10
10
00
01
10
11
00
01
10
10
10
11
11
01
01
10
10
11
10
00
00
10
10
11
00
00
01
10
11
00
10
10
00
10
11
00
00
10
10
10
10
11
01
00
11
11
10
10
00
01
00
01
10
01
11
01
00
11
00
11
10
10
00
00
10
11
01
11
00
01
01
00
01
00
10
11
11
00
10
00
00
01
00
10
10
10
01
01
10
00
10
00
01
01
01
11
00
11
10
10
00
10
10
11
00
00
01
00
00
11
00
10
00
00
01
11
11
00
10
10
10
00
10
11
00
11
11
10
10
00
00
00
00
10
01
00
00
00
00
00
10
00
11
11
00
00
10
10
11
00
11
11
00
01
10
11
10
10
11
10
10
00
11
00
01
00
00
10
10
00
01
00
10
10
10
11
00
10
01
10
00
10
10
10
10
00
00
10
10
00
00
11
00
00
11
10
10
10
01
01
10
11
00
01
01
01
10
01
10
00
00
10
00
01
00
11
10
00
00
01
01
10
00
01
10
10
10
11
11
01
10
00
10
10
00
00
11
11
10
01
00
00
00
00
10
00
11
10
01
00
00
00
01
00
01
01
01
01
10
11
00
01
01
00
10
10
01
00
10
11
00
00
01
00
11
10
01
00
10
00
01
00
10
00
00
00
11
10
01
10
01
10
10
00
10
00
01
00
11
11
00
11
10
10
01
11
11
00
00
10
11
01
01
00
10
00
01
10
11
11
00
11
00
00
10
01
01
11
00
10
01
01
00
10
10
00
00
00
10
00
10
10
11
00
00
10
11
00
00
00
00
11
10
00
11
00
01
11
11
10
00
01
00
10
10
00
01
00
10
10
00
00
10
11
01
01
10
00
00
10
01
10
00
00
11
10
10
00
11
10
01
10
10
10
00
01
10
10
00
00
01
00
10
10
10
10
01
10
10
10
01
00
00
11
01
10
00
10
10
00
10
10
00
00
01
10
10
00
00
00
00
01
01
10
11
00
10
10
00
00
11
00
00
00
01
10
10
00
01
00
11
00
00
00
10
00
10
10
11
11
10
10
00
10
10
10
11
00
01
10
10
10
11
01
01
01
10
10
01
10
11
00
00
10
10
11
00
10
00
01
11
10
10
00
00
00
01
10
10
01
01
00
00
01
00
10
00
10
11
01
11
11
10
10
00
10
10
01
01
10
10
00
11
00
00
01
00
00
10
00
10
10
10
11
10
00
10
11
00
10
01
00
00
11
10
10
00
01
00
01
10
10
01
00
11
00
10
01
00
00
10
00
00
10
01
10
00
00
01
10
10
01
11
10
00
00
10
00
01
01
10
01
00
11
10
10
10
00
10
10
11
00
01
10
10
00
10
10
00
11
10
10
00
11
10
00
01
00
01
10
01
10
10
00
01
00
11
11
00
10
11
00
10
11
00
00
01
10
11
00
10
00
00
11
01
00
10
10
00
10
11
00
00
11
10
10
01
11
01
01
00
10
10
00
00
01
10
10
00
11
10
11
10
00
00
10
00
00
01
10
00
01
01
10
01
10
10
11
00
00
10
10
00
11
10
01
00
00
00
00
01
01
00
10
00
00
00
10
10
10
11
01
01
10
10
00
10
11
10
11
01
00
00
10
00
01
10
10
10
00
00
10
00
01
00
01
01
00
11
00
00
00
11
10
11
10
01
01
10
11
10
10
00
00
01
00
00
10
00
00
10
11
11
01
00
11
01
00
10
10
01
00
11
10
01
10
01
10
11
00
00
00
10
11
01
10
10
00
11
01
10
01
00
11
01
00
10
10
00
10
10
00
01
10
10
00
10
10
11
01
10
10
00
10
01
00
11
00
00
00
00
00
00
01
11
00
11
10
01
00
11
11
10
11
10
11
10
10
00
01
01
10
01
00
00
01
00
10
10
10
00
11
00
01
10
11
01
00
10
00
01
10
01
00
11
00
10
00
01
10
10
10
10
10
11
00
00
00
01
10
11
10
10
00
01
10
10
11
01
01
00
00
10
01
11
11
01
01
00
11
00
00
10
11
10
00
01
10
10
01
11
00
00
10
01
00
00
10
10
00
00
00
10
10
11
00
11
00
00
01
10
11
10
11
00
10
10
00
00
10
00
01
10
11
10
00
10
11
01
11
11
10
00
00
00
10
10
00
00
00
10
01
10
00
00
10
00
00
01
10
00
01
00
11
01
01
10
10
11
11
10
11
10
10
11
00
00
10
10
00
10
10
01
00
11
00
11
01
10
00
00
00
10
00
00
01
01
01
11
11
00
11
10
00
11
00
00
00
11
11
00
10
10
00
00
10
00
10
00
00
10
10
10
00
10
00
11
00
10
10
11
01
01
11
10
10
11
10
10
01
10
00
10
01
01
10
11
01
10
10
00
10
00
10
10
01
00
00
10
01
00
01
00
10
10
00
00
10
00
00
01
11
10
10
01
01
11
00
00
00
00
10
00
10
10
00
00
10
01
00
10
00
11
11
10
10
00
00
11
10
01
00
11
10
00
10
11
11
00
01
10
11
10
11
01
11
11
00
01
10
00
00
10
10
10
10
00
00
00
11
00
00
01
01
10
11
01
00
00
10
01
00
10
10
11
00
00
10
10
00
01
10
01
10
10
00
00
01
10
11
00
00
00
10
10
00
00
11
10
11
00
11
00
00
10
11
10
10
01
00
01
10
11
01
10
01
11
00
11
10
00
10
00
00
10
10
00
10
10
11
10
10
10
00
00
10
00
11
10
10
10
00
10
01
10
10
00
01
01
10
11
00
10
00
01
01
00
11
10
11
00
11
10
10
01
01
11
00
01
11
11
00
00
10
10
00
00
01
10
11
10
00
11
11
01
10
00
00
00
11
00
00
11
01
01
11
10
00
01
10
01
00
11
10
11
00
10
10
00
00
11
00
00
01
10
11
01
11
00
00
11
11
00
00
10
10
00
00
01
00
00
11
00
00
00
00
10
01
10
10
00
00
01
10
10
10
00
01
11
10
01
10
00
00
10
11
10
00
00
00
01
10
11
00
10
00
00
11
00
00
10
00
00
00
10
00
00
10
10
11
00
10
10
00
11
10
00
00
11
10
10
01
00
11
00
10
11
00
00
00
10
10
10
10
00
10
00
10
10
10
11
10
10
00
01
00
10
10
00
10
00
10
01
11
01
10
10
10
00
11
00
00
10
11
01
11
11
11
00
00
01
11
00
01
11
00
01
10
11
10
10
00
00
11
00
01
11
01
01
11
00
11
00
00
10
10
00
00
01
00
00
10
01
10
11
10
01
00
10
00
01
11
10
11
01
10
11
00
11
00
11
00
10
10
00
10
10
00
10
10
00
00
10
11
10
00
00
00
01
10
01
01
10
11
10
10
10
10
00
00
10
11
00
10
10
00
10
00
11
10
11
00
00
11
10
00
00
10
10
00
01
10
11
00
11
10
01
11
00
01
01
00
10
01
11
01
00
00
10
11
00
10
00
00
11
00
10
10
00
10
10
10
10
10
10
10
01
11
00
01
00
10
00
01
01
10
10
01
10
10
11
11
10
10
01
00
10
11
00
10
00
01
10
11
10
01
11
11
10
00
01
00
00
10
10
01
11
11
11
11
11
10
01
00
00
10
10
00
01
00
11
10
00
00
00
00
00
11
11
01
01
10
10
00
00
10
00
11
10
11
11
10
11
10
00
10
10
00
00
00
10
10
00
10
01
10
00
11
11
11
00
00
00
10
00
00
10
11
01
00
00
00
00
11
01
01
00
11
10
01
10
10
10
10
00
00
10
10
10
00
10
01
01
01
11
00
00
00
00
00
01
01
10
11
00
00
10
01
00
10
00
00
00
10
10
10
10
00
11
00
00
00
01
10
01
00
10
10
10
10
10
11
00
00
10
01
01
00
00
10
11
00
01
00
11
10
10
00
10
10
01
11
11
11
10
10
11
01
00
10
10
00
10
10
00
01
11
00
11
00
00
01
00
10
01
00
11
01
11
00
00
10
11
10
00
00
10
11
01
10
01
01
11
01
00
00
10
00
01
01
11
11
00
00
10
00
00
00
10
10
11
00
00
01
10
11
00
00
11
11
10
01
11
11
10
00
10
00
00
10
10
01
00
11
11
00
10
00
10
00
00
10
00
00
11
10
00
11
11
00
10
11
10
11
10
00
00
00
00
11
10
10
10
00
00
10
01
01
00
10
00
00
00
10
11
10
01
00
00
11
10
00
00
01
11
10
10
00
10
11
11
00
10
01
10
01
00
11
01
10
00
00
10
11
10
11
01
11
10
01
11
00
00
00
00
11
00
00
11
10
00
01
10
01
11
00
00
11
00
01
10
10
01
11
10
00
10
11
01
01
00
10
11
01
00
10
11
11
00
00
00
00
01
00
10
10
00
00
10
11
10
10
10
11
00
00
10
11
01
11
11
00
11
10
00
10
10
00
00
11
10
10
00
11
01
00
11
11
10
00
00
10
10
10
00
10
11
01
00
10
01
10
11
00
01
10
00
11
01
00
11
00
00
00
00
10
10
10
10
00
00
11
01
01
10
10
00
00
00
11
10
01
10
00
10
11
00
01
00
10
10
01
01
10
10
00
10
10
01
00
10
10
10
10
10
00
00
10
11
10
00
01
10
10
00
00
10
10
00
11
01
01
10
11
01
11
01
00
10
01
11
10
10
00
01
11
10
11
00
01
01
00
10
00
10
10
10
01
00
11
10
00
10
11
10
00
01
10
00
10
01
01
01
00
00
01
11
00
10
00
00
01
10
00
10
10
10
10
00
10
00
00
10
01
01
10
10
00
00
00
10
00
10
01
10
11
00
01
10
01
01
00
10
10
11
00
00
10
11
00
00
10
10
11
01
10
01
00
11
11
11
01
01
01
00
00
10
10
00
00
10
10
10
00
00
10
00
10
10
11
00
01
00
01
00
01
10
10
00
00
00
10
10
10
11
10
11
11
01
10
10
00
10
00
00
10
00
00
10
10
00
00
10
00
00
00
10
10
11
01
00
01
00
00
10
10
01
00
01
10
10
01
01
10
11
00
01
10
11
11
00
00
01
10
11
11
00
01
00
10
10
01
00
00
00
01
11
00
00
10
11
01
10
00
10
10
00
01
00
00
00
11
10
00
10
00
00
10
01
00
11
10
11
10
00
01
11
10
00
00
10
10
10
10
00
00
10
10
01
01
00
00
11
10
01
10
01
00
01
10
10
10
10
00
10
00
00
11
11
10
01
10
00
10
01
01
11
00
11
00
10
00
01
11
11
01
00
10
10
00
01
10
01
00
00
01
01
11
00
00
11
10
00
11
10
11
00
01
01
11
10
00
11
00
11
11
01
10
10
00
01
10
00
00
10
11
00
11
11
00
10
00
00
01
10
11
10
10
01
00
10
10
00
01
00
10
11
10
11
11
10
00
00
00
10
11
00
10
11
10
01
10
01
00
00
10
00
00
10
10
01
11
10
00
00
10
01
10
10
10
11
00
11
00
10
01
00
01
10
10
00
10
10
00
11
00
00
10
00
10
10
00
00
11
01
00
10
11
10
01
00
10
00
00
00
10
10
01
00
10
00
10
10
10
10
01
00
10
11
00
11
10
10
00
01
00
10
10
01
11
10
01
11
10
01
01
01
10
11
01
01
01
10
00
00
01
10
11
00
00
00
01
00
10
11
00
00
10
00
10
01
10
11
10
11
10
10
11
00
00
10
01
01
01
11
11
10
00
10
10
00
00
10
10
00
00
11
00
01
01
00
10
11
01
00
01
10
10
00
10
10
10
10
00
10
00
01
01
11
10
01
11
10
01
01
10
00
00
10
00
00
10
01
00
11
01
10
11
00
01
00
10
10
01
11
10
00
00
00
10
01
11
10
01
00
01
11
10
00
01
01
10
10
10
00
00
10
10
11
10
01
00
10
10
10
10
00
10
00
10
10
10
11
10
10
00
11
00
00
00
01
10
10
00
00
10
00
10
10
00
00
01
00
00
10
00
10
00
01
10
00
00
00
11
11
01
11
10
10
11
11
10
10
00
00
11
10
00
01
01
10
10
10
10
00
10
00
00
00
01
10
10
00
10
00
00
10
10
10
00
00
11
11
10
00
00
00
10
00
00
01
00
10
10
11
11
11
01
01
11
01
10
01
11
10
00
01
10
10
11
01
10
00
00
01
00
11
11
10
00
00
10
10
01
10
00
00
00
00
11
01
11
11
11
00
11
10
01
11
00
01
10
00
01
01
10
10
00
00
00
00
11
10
10
00
10
11
10
10
01
01
00
00
10
01
00
01
10
11
00
00
01
10
00
00
00
10
00
10
10
01
10
01
00
00
11
10
10
00
00
10
10
10
00
10
01
10
00
00
11
00
00
11
00
00
00
00
11
00
11
10
10
00
10
10
00
00
11
00
01
10
10
00
11
10
00
01
11
10
11
00
00
10
01
11
11
11
10
10
01
00
00
00
11
10
10
01
01
01
11
11
10
01
00
00
01
11
00
01
10
11
00
00
11
00
00
10
00
01
00
11
01
10
11
10
11
00
10
00
10
11
10
10
00
00
10
11
00
00
10
10
00
00
10
00
00
00
00
10
11
01
10
00
01
01
10
11
10
00
11
10
00
10
11
01
10
00
01
11
10
00
00
10
01
01
11
00
00
01
10
11
10
01
00
00
11
11
11
01
11
10
00
10
01
00
10
11
11
11
00
10
00
01
10
10
00
10
00
00
10
10
00
00
11
01
00
10
00
11
00
00
01
10
01
00
00
00
10
10
11
11
00
00
01
11
00
10
10
10
01
00
10
10
00
00
01
10
10
10
10
00
00
11
01
00
01
00
10
10
10
10
00
11
00
01
10
10
10
00
10
10
00
00
01
00
01
00
10
11
00
11
11
10
00
00
01
10
10
00
01
00
00
10
11
01
01
11
11
00
00
10
00
00
10
10
00
10
11
10
00
11
00
10
00
01
10
01
11
10
10
00
00
10
10
00
01
00
10
10
00
00
10
10
00
10
10
00
00
00
10
10
00
10
00
11
10
00
01
10
10
11
10
00
01
01
10
01
00
00
11
11
00
01
10
11
10
00
10
11
00
00
00
11
01
00
00
10
00
00
10
10
10
00
11
00
11
10
01
10
00
00
00
00
10
01
00
11
10
10
10
11
00
10
01
01
01
11
11
10
00
10
00
11
10
10
00
10
10
11
10
10
00
01
10
01
10
10
10
00
11
11
01
00
10
11
01
10
10
00
00
10
00
01
10
00
00
11
10
00
00
10
11
00
00
00
01
11
10
11
00
01
10
01
10
10
00
00
10
01
11
11
00
11
10
00
00
10
10
10
11
00
10
00
11
01
10
11
10
10
00
01
00
10
10
01
00
00
10
00
00
10
10
10
10
10
11
01
01
10
01
11
00
00
10
00
01
00
10
10
11
00
10
11
00
11
11
00
00
00
11
11
10
10
01
00
11
00
11
00
01
11
10
11
00
00
11
10
01
10
11
00
10
10
10
01
00
00
00
00
00
01
10
11
10
01
00
11
10
00
00
10
00
00
01
11
01
00
01
10
00
10
10
00
00
00
10
01
00
11
10
01
01
10
01
00
00
10
00
01
11
10
01
00
10
00
00
10
10
10
01
01
11
00
00
10
11
10
00
00
10
10
01
10
10
10
01
11
00
00
11
10
01
01
10
10
01
00
11
10
10
00
01
00
00
11
10
00
01
01
01
00
00
00
10
00
01
10
01
00
10
01
10
01
10
00
00
10
10
00
10
11
00
00
11
00
10
11
10
11
10
00
00
01
00
10
00
00
10
11
00
00
00
00
10
10
10
10
10
00
10
10
01
00
00
10
00
10
10
10
10
10
01
10
10
11
10
01
01
01
10
10
11
10
10
00
01
10
10
11
00
00
10
10
00
11
11
01
00
10
11
00
00
10
11
10
01
10
11
00
01
01
01
00
10
10
11
00
10
10
00
00
10
10
11
10
00
10
00
10
01
10
01
10
10
10
00
10
11
10
00
10
00
10
11
10
10
10
00
10
10
00
00
10
11
11
10
10
10
01
11
10
11
01
01
10
01
10
00
10
01
10
11
00
01
10
11
01
00
11
10
10
00
10
11
00
10
00
01
01
11
01
11
00
00
10
01
00
00
11
10
00
00
00
10
00
11
01
00
10
10
01
00
00
00
10
01
10
00
10
10
00
11
10
01
01
00
10
00
11
10
10
00
00
11
10
00
00
01
10
00
11
00
00
10
00
10
11
00
10
00
10
01
10
01
01
10
00
01
11
01
11
10
00
00
01
00
11
10
01
00
00
00
10
10
00
10
10
10
00
00
01
00
11
01
00
10
10
00
10
01
01
10
10
11
01
10
00
00
11
10
00
00
11
00
00
00
10
11
00
01
01
10
10
01
10
11
00
00
10
10
00
00
11
01
10
01
10
00
10
10
00
10
11
01
01
10
01
10
10
00
10
01
10
10
01
10
10
00
10
10
10
10
10
11
10
10
00
01
10
00
01
00
00
11
10
00
00
00
01
01
11
10
10
10
10
10
11
00
01
01
11
00
01
01
00
10
11
01
00
00
10
10
10
10
00
01
10
10
10
00
10
11
01
10
00
00
10
00
00
10
10
10
00
01
10
00
10
10
00
00
10
10
00
10
01
01
11
11
10
00
01
01
01
00
10
10
11
00
10
11
00
01
00
10
01
00
10
01
00
11
10
00
00
01
10
11
01
01
00
10
10
00
01
00
11
10
10
00
01
10
11
01
00
10
00
11
10
00
01
00
00
10
10
00
10
10
10
11
00
10
01
11
01
00
01
11
00
11
10
00
00
10
10
00
00
10
01
11
00
01
11
00
10
00
11
01
00
10
10
00
10
01
00
11
10
11
00
00
10
01
10
10
00
10
00
10
00
00
01
00
00
00
10
00
11
00
10
00
10
01
11
10
00
00
10
10
01
00
10
10
00
01
00
11
00
10
10
01
10
00
11
10
11
00
00
00
01
01
01
00
10
00
01
10
00
10
10
00
00
10
10
10
10
01
11
00
00
00
00
00
00
00
00
10
00
10
00
00
11
11
01
00
01
10
11
11
00
01
11
00
01
00
11
10
10
00
11
01
01
10
10
11
00
11
10
01
00
01
11
10
11
00
00
00
11
11
11
00
00
10
00
00
11
00
01
10
01
10
01
00
10
00
00
00
10
00
10
10
10
11
10
00
01
10
10
10
00
10
11
00
00
10
10
10
11
11
10
00
10
01
10
01
10
11
00
01
11
10
10
01
00
10
10
00
00
01
00
10
01
01
10
00
10
10
11
00
00
11
11
10
10
00
01
10
11
00
01
01
10
00
11
10
00
10
01
11
10
00
10
10
01
00
11
00
00
00
00
00
10
00
11
00
00
10
01
10
00
11
00
10
10
10
10
00
01
00
10
10
00
00
10
01
00
10
11
10
00
11
01
01
00
01
01
10
11
10
11
00
00
00
00
00
00
10
11
00
01
10
00
01
11
10
00
00
11
10
10
10
00
10
10
00
01
11
10
10
11
11
00
00
00
11
00
11
10
00
10
10
00
00
11
10
01
00
00
01
10
00
10
11
01
00
10
00
00
10
01
01
11
10
00
10
10
00
00
00
10
10
00
11
01
10
01
10
00
11
10
01
00
10
10
00
00
00
10
10
00
10
00
10
10
00
00
01
10
11
10
10
00
00
10
11
10
11
01
01
10
10
00
00
10
10
00
01
00
10
00
11
10
01
00
11
00
11
10
00
00
00
00
00
00
10
00
00
10
10
00
00
01
00
10
01
00
01
00
01
10
00
10
10
10
10
00
00
00
10
00
11
10
00
10
10
00
10
01
10
01
00
10
01
00
10
00
00
10
01
10
00
10
01
01
11
01
01
11
11
10
10
01
10
00
10
10
11
11
11
11
10
10
10
00
11
00
01
00
10
11
10
00
10
00
01
00
11
10
00
00
01
10
01
00
11
00
10
00
10
01
00
00
10
10
00
00
10
10
10
00
10
10
00
00
10
00
11
11
00
10
00
10
00
11
11
10
10
00
00
11
01
01
11
00
00
10
10
01
10
10
11
10
00
10
01
10
01
01
00
00
10
10
10
10
01
00
00
00
00
01
10
11
00
11
10
10
01
11
00
00
11
10
10
00
11
10
11
00
00
00
11
11
00
10
01
00
11
11
10
00
01
10
10
11
01
00
11
11
00
00
10
11
10
10
11
00
01
01
11
10
10
00
01
10
10
10
01
00
00
10
01
10
10
00
00
01
01
10
10
00
00
11
01
11
10
11
01
10
10
00
01
11
00
00
00
10
11
00
00
10
10
11
00
10
01
00
11
11
11
01
10
10
10
00
00
11
01
10
10
01
10
10
10
00
00
10
10
00
11
10
11
10
10
00
11
11
10
01
00
10
11
00
10
00
00
00
00
10
10
10
10
11
11
10
00
10
10
11
00
00
11
10
10
00
10
00
01
00
00
11
10
10
10
00
10
10
10
10
10
10
10
00
00
00
10
11
11
00
10
11
10
10
01
01
10
10
00
10
00
11
00
00
10
01
10
11
10
10
10
00
01
01
10
10
00
10
01
10
00
00
11
10
00
10
11
11
10
00
01
10
00
00
10
10
10
10
01
10
00
01
10
01
00
10
10
10
00
00
01
11
00
10
01
10
00
10
01
01
10
11
00
00
11
10
10
10
10
00
00
10
11
00
01
00
00
00
00
00
11
10
11
11
10
00
00
10
11
11
00
00
00
01
10
01
10
10
10
01
01
01
10
10
10
11
01
01
00
11
11
01
10
10
00
00
11
11
01
00
00
10
00
10
11
01
01
11
10
11
10
11
00
01
11
10
00
00
11
00
10
10
00
00
10
00
00
10
01
11
10
01
01
00
00
10
11
01
00
11
01
10
11
01
00
10
11
01
01
11
10
11
10
10
01
00
10
00
11
10
10
11
00
10
01
10
11
10
10
00
11
10
01
10
10
00
10
00
10
11
01
11
01
10
10
11
00
10
11
00
00
10
10
00
10
10
10
10
10
01
10
01
00
00
00
10
10
10
10
00
00
10
10
10
00
00
10
00
00
11
10
00
00
10
10
11
00
00
10
10
00
10
11
10
00
01
10
10
00
00
01
10
10
11
10
10
00
00
10
01
00
00
11
10
00
00
01
10
11
00
01
11
10
01
11
11
00
00
00
10
10
00
00
10
10
10
10
10
00
00
00
00
11
11
10
00
10
10
11
10
00
10
10
00
01
10
10
11
10
00
00
10
11
00
00
01
00
00
00
00
10
10
01
11
01
11
01
10
00
01
00
00
10
00
10
01
10
11
00
00
00
00
01
10
11
01
00
11
11
11
11
00
00
00
01
10
10
01
11
11
10
00
01
10
10
00
01
10
11
10
10
00
10
11
00
00
01
00
10
10
10
10
10
01
00
00
11
00
01
00
10
10
01
00
10
00
01
10
11
10
10
00
00
10
10
00
00
10
10
11
10
00
01
00
00
11
00
10
11
10
00
10
11
00
11
11
10
01
10
01
10
10
00
00
10
10
00
10
10
00
10
01
11
00
10
10
00
01
11
10
01
10
00
00
00
00
11
10
00
00
01
11
00
11
10
11
01
11
01
11
11
00
00
10
10
00
00
00
10
11
00
01
00
10
00
00
00
11
01
10
10
10
10
10
10
11
10
01
10
11
10
01
10
10
00
00
11
00
00
10
10
10
01
00
01
01
10
00
00
11
11
11
00
01
10
01
01
10
00
11
00
10
00
00
00
11
10
11
10
00
01
00
00
00
00
10
01
10
00
00
10
00
01
01
11
11
00
01
11
00
00
10
11
01
11
10
00
00
10
11
11
00
00
11
00
00
00
00
10
10
00
10
10
11
01
00
10
10
10
01
01
11
00
10
11
00
11
10
00
00
10
10
10
00
01
11
10
10
10
11
10
11
00
10
00
10
10
00
10
11
01
10
01
01
00
11
01
00
10
10
01
11
00
00
10
10
10
11
10
00
10
10
00
10
11
00
10
10
01
10
11
10
01
00
10
11
10
00
00
00
11
00
00
10
10
01
00
00
10
01
00
11
01
00
11
10
10
00
11
10
00
10
11
10
00
01
00
10
10
00
00
01
11
00
00
10
10
01
01
10
00
00
11
10
11
00
10
01
11
00
00
10
10
00
10
11
00
10
11
10
01
10
10
11
00
01
10
00
00
11
10
00
01
00
00
10
00
10
11
01
01
01
10
00
10
11
00
00
10
10
00
00
00
11
10
10
01
10
10
00
00
10
00
10
00
01
01
01
10
01
01
00
00
10
11
10
01
00
10
00
00
11
00
11
10
00
00
00
10
00
10
11
01
11
01
00
00
00
10
10
00
01
10
00
00
00
11
10
00
10
10
00
10
00
00
10
00
10
11
00
10
01
11
10
00
01
00
10
11
01
00
01
01
00
10
10
11
00
01
01
10
00
01
10
00
00
10
10
10
00
01
10
01
00
10
10
10
01
01
11
11
11
00
01
00
10
01
00
10
10
00
01
10
00
10
10
01
10
10
00
00
10
00
00
00
11
10
11
01
10
11
00
10
00
01
00
10
01
00
10
11
11
00
01
01
00
10
10
00
10
10
01
10
11
10
00
01
10
00
00
00
10
11
00
10
00
01
10
10
00
00
10
00
00
10
00
01
00
11
01
00
00
00
10
10
11
00
00
00
10
10
01
01
10
10
00
00
01
10
10
00
00
10
11
10
10
00
00
10
10
00
10
10
10
00
10
00
10
10
10
11
00
00
01
01
00
00
10
10
01
00
01
10
00
00
01
00
00
11
10
01
00
00
00
11
11
11
00
00
10
10
00
11
01
01
10
10
11
11
01
01
00
10
10
01
01
11
11
10
00
00
10
00
00
11
10
11
01
01
10
10
00
10
10
11
00
00
10
10
00
10
01
01
10
10
10
01
10
00
10
10
01
11
11
00
10
11
00
00
00
10
00
01
01
01
11
00
11
00
10
11
01
01
00
00
00
11
10
00
10
10
11
01
00
10
00
10
10
10
00
01
11
10
10
10
00
01
10
10
01
10
00
11
10
01
00
01
11
11
01
10
00
11
10
00
00
10
10
00
01
10
01
10
00
00
10
01
11
10
00
00
10
00
00
10
00
10
10
11
00
10
10
10
01
00
00
01
01
01
11
10
11
11
01
10
01
01
10
10
01
00
10
11
00
01
11
00
00
01
11
11
10
00
10
00
10
10
01
01
00
00
11
00
11
01
00
00
01
01
10
01
01
00
01
10
00
00
00
00
10
10
00
10
00
01
00
01
10
10
10
10
10
10
10
00
10
10
11
00
00
11
10
11
10
11
10
00
00
00
01
01
11
11
01
00
01
00
01
10
11
00
00
11
10
00
01
10
10
00
00
11
11
00
11
10
01
00
00
10
00
00
11
10
01
00
01
11
00
01
10
10
00
00
10
10
11
11
00
00
11
10
10
01
00
01
00
11
11
00
00
00
10
00
10
10
10
00
11
00
00
00
10
10
11
01
10
00
00
00
00
10
10
01
00
10
00
01
10
01
01
10
11
00
10
01
10
00
01
10
10
10
00
00
00
10
10
10
01
00
10
00
00
00
11
00
01
10
11
10
01
00
11
00
10
00
01
01
01
10
10
00
00
01
11
10
00
11
00
00
10
10
10
10
00
10
10
11
10
00
11
10
00
10
01
00
11
10
00
11
00
01
00
00
10
10
10
01
10
10
00
10
11
11
10
01
10
01
10
11
10
00
10
00
10
10
01
00
00
01
01
10
10
01
01
11
10
01
00
01
00
10
11
10
11
01
00
10
00
11
10
00
01
00
11
10
00
11
00
01
10
01
01
11
10
10
00
00
00
00
11
11
01
11
10
10
00
10
01
01
10
11
00
00
11
11
10
00
10
10
10
11
00
00
11
10
10
10
10
00
11
00
01
10
01
01
01
00
10
01
10
01
00
11
11
00
00
00
11
11
00
00
11
10
10
00
00
11
10
11
01
10
11
00
11
00
00
10
10
01
00
10
01
00
11
00
00
11
10
11
10
01
10
10
10
00
11
01
00
10
00
00
00
00
10
01
11
10
01
01
10
10
10
00
00
10
11
00
00
11
01
11
11
00
10
01
10
11
10
01
10
10
00
01
00
10
11
00
01
01
00
00
01
11
11
10
00
10
10
10
00
10
10
01
01
01
01
10
10
10
00
01
01
10
11
11
00
01
11
10
11
10
00
01
10
01
01
11
10
00
11
01
00
10
10
11
11
01
00
00
10
10
10
01
10
10
10
00
10
11
10
01
10
00
01
00
10
10
00
00
11
01
11
10
11
10
10
00
00
00
10
00
00
11
10
11
10
10
00
00
00
10
10
10
01
00
00
00
11
10
00
10
00
00
11
10
10
01
10
10
11
01
00
10
10
00
10
00
00
11
11
10
00
10
10
11
10
10
11
10
00
00
11
10
00
00
00
11
10
10
11
10
00
10
00
10
00
00
10
00
10
00
01
00
00
10
00
00
10
10
01
10
10
00
00
10
11
11
10
11
00
00
11
10
00
00
10
10
00
10
11
00
11
10
00
11
01
10
01
00
01
10
00
01
10
10
00
10
10
00
11
10
10
11
11
00
00
10
10
00
00
00
10
01
01
00
00
10
11
00
10
11
00
00
00
00
11
01
00
11
01
11
10
11
00
00
10
10
00
00
11
10
11
10
10
10
11
11
10
01
01
11
00
01
11
10
00
01
00
11
10
11
00
01
10
11
10
11
01
10
11
00
00
10
11
00
11
01
00
01
00
11
01
01
10
01
00
11
10
01
10
11
00
10
00
00
10
10
01
00
11
10
10
11
00
00
00
10
10
01
01
10
01
11
00
00
10
00
00
10
10
10
10
01
10
10
11
10
01
10
00
00
10
10
00
01
10
00
11
10
10
11
00
10
10
00
01
10
11
00
00
00
10
11
11
11
00
10
10
10
10
01
00
10
01
11
00
00
00
10
01
00
10
10
00
00
10
01
10
00
10
00
01
01
10
10
10
00
01
10
01
11
00
10
10
01
00
01
10
10
00
00
01
00
01
10
10
10
10
10
00
11
10
00
01
00
00
01
01
11
01
00
10
11
11
11
00
10
10
01
00
00
00
10
01
01
11
10
10
01
00
10
00
00
11
00
00
00
10
10
00
01
11
00
00
10
00
11
01
01
11
01
00
10
10
11
01
01
11
00
00
10
11
00
10
11
11
11
00
10
10
10
00
00
11
10
10
01
11
10
11
00
11
00
10
00
01
10
00
00
10
10
10
11
00
10
01
11
11
00
11
10
10
00
00
10
00
10
10
00
00
11
01
00
01
00
10
00
10
00
01
10
11
11
00
11
00
11
00
10
11
01
00
01
00
10
10
00
01
11
00
10
01
00
00
00
00
10
11
11
00
11
11
11
00
10
10
10
10
00
00
00
00
00
01
00
00
00
11
11
10
01
11
10
11
11
10
10
10
11
00
10
01
00
00
01
10
10
00
00
11
01
01
00
00
10
10
10
00
01
01
11
11
00
11
10
10
11
00
00
00
10
00
00
00
10
10
11
11
10
11
00
11
10
11
00
11
11
00
11
10
01
00
10
00
00
01
10
11
01
01
01
01
00
11
10
10
00
01
11
11
10
00
01
11
10
01
01
10
00
10
10
00
00
00
10
10
10
10
00
10
10
00
00
10
00
00
01
00
11
01
11
01
00
10
10
11
00
10
10
00
11
10
00
10
11
01
00
10
00
01
10
01
10
01
11
00
10
00
11
10
10
00
00
11
00
10
11
01
00
10
11
10
10
00
00
00
10
10
10
00
11
10
10
01
01
00
01
10
10
00
11
10
10
10
01
10
00
10
01
10
10
00
01
00
10
01
10
00
01
10
10
10
00
11
01
00
00
00
10
10
10
00
10
00
10
00
00
00
01
01
01
10
00
10
01
10
00
00
10
10
10
11
01
00
00
10
10
00
01
11
10
01
00
01
10
10
01
00
00
10
00
10
10
00
01
00
00
11
10
10
00
00
00
10
10
00
10
00
10
00
10
10
10
10
10
10
01
00
00
00
10
00
10
10
00
00
00
10
00
00
11
10
10
11
00
11
10
01
00
01
10
10
10
00
10
11
01
01
01
11
10
00
11
00
01
11
11
00
01
00
11
10
00
01
10
10
00
01
10
01
10
00
00
01
00
10
10
00
01
10
10
00
00
00
01
10
11
10
01
00
10
00
00
11
10
00
00
00
00
11
00
10
00
00
00
00
10
11
10
10
00
00
10
11
00
00
10
11
11
00
10
00
10
00
10
01
01
00
10
00
10
10
11
00
10
10
00
00
01
00
10
10
10
00
10
10
11
01
00
10
10
10
00
10
11
00
01
10
10
10
00
01
11
11
00
10
00
10
01
01
11
01
01
00
00
11
11
11
00
01
10
10
01
11
00
00
01
00
10
00
11
00
10
10
00
11
10
00
00
01
11
01
01
10
10
10
01
01
10
01
10
10
00
10
01
00
11
10
10
00
10
10
00
10
10
01
00
01
10
11
00
10
10
01
11
00
10
10
00
00
11
00
00
01
11
10
00
11
10
01
01
01
10
11
11
10
00
00
10
10
11
10
00
00
10
10
10
10
00
00
10
10
00
01
01
00
11
11
11
10
00
00
01
01
10
10
10
01
01
00
10
11
00
10
10
01
01
00
00
00
11
10
11
10
01
00
11
01
00
01
11
00
00
10
01
00
00
00
10
00
10
11
11
01
00
11
11
01
11
10
00
00
11
10
00
01
11
10
01
00
10
00
01
10
10
01
00
00
11
00
10
01
00
00
01
00
11
10
01
10
10
00
01
11
10
11
10
00
01
10
10
11
01
00
00
11
10
10
00
10
00
11
11
00
11
10
10
01
00
11
10
11
00
10
10
00
10
11
00
00
00
00
01
10
10
00
10
00
11
01
00
10
00
11
01
00
01
10
10
00
10
00
11
10
00
10
10
10
00
00
10
10
00
00
10
00
01
00
00
10
10
01
10
01
00
10
00
00
10
11
11
10
00
10
10
00
10
00
10
10
10
10
10
10
00
11
00
00
10
10
01
00
10
11
11
10
10
00
00
11
00
00
01
10
10
00
11
11
00
01
10
00
10
11
00
01
10
11
00
01
10
11
10
10
11
00
10
01
00
00
00
00
10
10
01
00
00
10
10
10
11
00
00
00
01
00
01
10
10
11
00
11
10
01
01
00
10
00
01
10
10
10
10
01
00
10
00
10
01
00
10
00
00
00
01
11
11
00
10
11
01
10
11
00
00
01
10
01
10
11
00
00
10
10
11
00
01
10
00
00
10
10
00
01
10
10
01
10
00
00
10
10
00
10
00
00
00
00
10
10
00
00
10
01
11
10
00
01
00
11
01
11
11
11
10
00
10
10
10
00
10
01
00
10
10
00
00
10
11
01
00
10
00
00
11
10
00
01
11
10
00
00
10
01
00
10
00
01
10
11
10
10
01
01
11
00
00
00
10
00
01
11
10
11
00
01
01
11
00
11
01
01
10
10
10
10
00
01
10
10
11
00
00
10
10
00
00
00
10
11
00
10
10
00
11
00
10
01
00
00
01
00
10
00
00
10
00
10
00
11
00
11
10
01
00
10
01
11
00
01
10
10
00
10
11
10
01
01
00
11
10
00
11
10
11
01
11
11
00
01
00
10
00
00
10
10
10
00
00
00
10
11
10
00
11
00
00
10
00
01
00
11
10
10
00
01
10
01
10
10
10
10
01
00
00
11
10
00
10
10
01
00
11
00
01
10
10
11
01
01
00
00
00
11
01
10
10
00
00
10
01
00
00
00
10
01
10
00
01
10
11
10
00
10
10
01
10
00
00
11
10
01
10
10
10
01
01
10
00
00
10
01
10
10
01
00
10
10
01
00
00
10
10
10
10
00
00
00
11
11
11
01
00
00
11
01
11
10
00
00
01
00
00
10
11
10
00
01
11
10
01
00
00
10
11
10
11
10
00
10
10
10
11
00
01
11
00
00
01
00
11
10
00
10
10
01
01
11
11
00
01
11
11
10
10
10
00
10
10
01
00
00
10
00
11
11
10
10
00
01
10
10
00
00
00
00
00
10
10
10
10
00
10
00
01
00
00
10
00
00
10
10
01
00
00
10
01
10
11
10
01
01
10
11
00
01
11
00
11
11
00
01
11
11
00
01
11
11
00
01
11
11
00
10
00
10
10
01
00
10
00
00
10
11
00
00
00
01
00
00
11
01
10
00
11
00
11
01
10
11
10
10
10
00
00
11
00
10
10
00
00
10
00
10
01
00
10
11
10
00
00
01
01
10
10
00
10
01
11
10
01
00
10
10
11
00
10
10
01
00
10
10
00
10
11
00
01
10
10
00
00
10
10
10
10
00
00
00
00
10
01
10
11
10
11
00
01
01
01
10
10
00
00
00
00
11
11
00
01
10
11
01
01
10
10
00
10
10
01
01
10
10
11
01
10
10
11
11
11
00
00
01
10
10
10
01
10
00
01
00
00
00
00
11
10
10
01
10
00
10
10
00
01
10
10
00
11
10
01
01
11
10
01
01
00
10
10
00
01
10
11
10
00
11
00
11
00
01
11
01
00
10
00
00
01
11
01
01
10
01
00
11
01
10
10
01
01
11
10
00
00
10
10
11
00
10
00
00
01
11
01
00
00
10
00
11
10
00
01
10
00
00
00
10
10
00
10
00
10
10
00
10
10
10
10
00
00
11
11
00
01
10
01
11
00
00
10
00
00
10
10
10
00
00
10
10
00
00
01
10
10
00
11
11
00
11
10
00
10
01
10
10
01
00
01
00
01
10
11
10
10
11
00
00
10
11
00
00
10
10
01
00
11
00
10
10
00
00
11
01
01
10
00
11
10
01
01
00
10
11
01
11
11
00
11
00
00
10
00
00
11
11
01
00
10
00
11
00
00
10
00
11
00
01
10
10
00
01
00
00
00
10
00
00
00
11
00
10
10
10
01
00
10
10
10
00
10
11
01
00
10
00
00
11
10
00
10
10
11
10
11
00
10
10
10
00
00
00
10
10
10
10
00
10
00
10
00
10
10
00
01
10
00
10
01
00
00
11
10
00
00
00
10
10
00
00
00
00
00
00
01
01
10
10
11
00
00
10
10
00
11
01
01
00
00
01
01
10
10
10
01
00
10
10
00
10
11
01
00
01
10
00
10
11
10
10
10
00
00
11
00
10
10
00
10
10
10
01
00
00
10
10
10
00
00
10
11
11
00
11
11
00
00
01
10
10
00
00
00
01
10
11
01
00
00
00
00
01
01
10
11
00
00
00
11
01
11
10
11
00
01
10
00
10
10
10
01
10
11
10
00
00
00
01
10
10
00
11
10
00
10
00
01
10
00
00
01
00
01
00
10
11
11
10
11
00
01
10
00
11
10
10
00
10
00
00
00
01
11
11
10
11
10
01
00
00
10
00
00
10
10
11
00
01
01
00
00
10
10
00
01
10
00
01
00
10
00
00
10
00
10
01
10
11
01
01
11
10
10
10
10
00
00
00
10
00
10
00
00
00
01
00
01
00
00
00
01
01
10
01
00
00
01
10
00
10
10
01
00
10
00
00
01
10
00
01
10
10
10
10
00
00
10
10
01
00
11
00
10
10
10
10
01
01
11
10
11
00
10
00
10
00
01
01
01
10
00
00
00
01
11
10
11
00
01
00
01
00
01
10
10
10
00
00
11
11
00
11
00
11
00
00
11
11
01
01
00
10
11
01
10
10
00
11
10
10
10
00
00
01
11
11
10
11
00
10
10
00
10
10
01
00
10
00
01
01
10
01
01
00
11
10
01
11
10
00
10
10
01
10
10
00
00
10
11
01
01
00
11
10
00
00
01
10
10
10
00
00
00
00
11
10
10
00
00
10
01
11
11
11
10
10
00
10
00
10
00
00
10
01
00
01
11
01
01
10
00
01
00
10
00
10
10
00
10
11
10
10
00
00
11
00
10
01
10
11
01
10
00
11
11
10
00
01
10
10
01
00
11
11
00
01
10
10
00
00
11
00
11
11
00
10
11
00
00
10
10
10
10
01
01
10
00
00
10
10
10
10
01
10
01
11
00
00
00
10
10
10
01
00
00
10
00
00
10
10
10
01
01
01
10
01
11
00
10
10
00
00
10
11
00
00
10
00
10
11
10
01
00
01
10
00
00
10
01
00
10
11
10
11
00
11
00
10
11
10
00
11
00
01
11
11
10
00
00
11
00
01
00
00
10
01
10
01
10
11
00
10
11
00
00
00
00
10
10
11
00
11
00
00
10
01
00
11
00
01
11
01
11
10
01
00
00
11
10
01
01
00
10
01
11
10
00
00
10
10
01
00
00
10
10
10
10
11
11
00
11
11
10
10
10
00
10
00
00
10
10
10
10
10
00
11
01
00
11
00
11
00
11
10
10
10
01
00
10
11
01
11
11
00
00
00
00
01
10
10
00
00
00
01
10
11
01
01
10
00
01
10
10
10
10
00
00
11
00
11
10
01
10
01
10
11
01
00
00
10
10
11
00
00
00
00
10
11
00
10
10
00
10
11
10
10
00
00
00
01
10
11
11
01
10
00
10
10
10
11
11
00
10
11
01
10
11
00
00
00
11
10
11
10
00
00
10
11
01
00
10
00
00
01
10
00
00
01
11
01
00
00
11
00
10
10
10
10
00
01
10
10
01
00
01
01
00
10
11
11
00
00
10
00
00
10
11
00
00
10
00
00
00
10
00
11
10
11
10
01
00
10
10
00
10
11
10
01
00
00
00
01
10
00
00
00
10
00
10
10
11
10
11
00
00
10
10
00
00
11
10
10
00
00
10
11
01
11
00
10
00
10
10
00
10
00
10
10
00
10
10
11
00
01
10
00
01
01
01
10
00
01
00
10
11
00
10
01
11
01
00
11
10
00
10
11
00
00
00
11
00
01
11
00
11
00
00
11
01
00
11
10
00
01
00
11
10
01
00
10
10
00
00
00
00
11
10
00
10
00
00
01
00
11
10
01
00
10
11
00
10
10
01
00
10
00
10
11
10
10
00
11
10
00
01
11
00
01
01
10
10
00
10
01
10
11
01
10
01
11
00
10
10
01
10
01
00
01
00
10
10
00
00
10
01
01
10
10
00
10
10
01
10
01
01
10
00
00
01
00
01
01
11
00
01
00
11
10
01
00
00
10
00
10
10
00
10
01
10
10
10
10
00
11
00
00
01
01
10
11
00
00
00
00
10
10
00
00
01
00
11
11
00
00
10
10
01
10
11
01
00
00
11
01
00
10
00
00
01
11
01
00
10
00
11
10
11
11
01
00
10
11
11
11
00
00
10
10
01
00
10
11
00
01
00
00
00
10
00
10
11
01
01
01
10
10
10
00
00
11
00
11
00
00
10
10
10
01
10
10
10
01
00
00
10
00
00
00
11
10
10
00
10
11
00
11
01
10
10
01
10
10
11
01
10
00
10
00
01
01
00
10
00
10
00
10
10
00
10
00
10
11
00
01
00
00
01
00
11
10
00
11
10
10
10
00
00
10
10
00
11
10
01
00
10
10
10
00
11
10
00
00
10
10
11
10
10
01
11
00
00
00
11
01
00
00
01
10
10
01
00
10
10
00
00
00
01
11
01
10
00
01
10
01
11
01
00
10
10
10
00
00
00
00
01
01
10
00
10
10
00
10
11
10
01
01
11
10
01
00
00
00
11
11
01
01
00
11
00
00
10
01
01
10
00
10
01
01
10
11
00
00
01
10
10
11
00
00
11
10
01
00
01
11
10
00
01
10
11
10
01
11
10
01
00
00
10
00
00
11
01
11
00
10
00
00
01
10
10
01
00
01
10
11
00
11
10
10
00
10
01
01
11
00
10
11
00
01
01
10
10
01
00
11
10
00
00
10
11
10
10
01
10
01
11
10
11
00
00
00
10
11
10
00
01
10
00
10
10
00
10
10
11
01
00
11
00
10
01
00
00
10
00
01
10
11
11
01
01
00
10
10
10
00
11
00
00
10
10
11
10
10
00
00
00
01
00
10
11
00
10
00
00
00
00
10
00
11
11
10
00
01
00
10
00
00
10
01
00
10
11
00
11
01
10
10
10
01
00
11
10
10
00
10
10
00
00
00
10
10
00
01
01
10
11
10
11
00
10
10
11
01
00
11
10
10
01
00
00
11
11
01
00
10
00
00
10
11
00
00
10
11
00
00
11
01
10
01
10
10
10
00
11
11
01
00
10
10
01
01
10
11
00
00
10
10
01
01
10
10
00
00
00
00
10
00
00
10
00
00
01
00
11
00
10
10
00
10
11
01
01
11
00
00
10
00
00
10
10
00
01
00
01
00
10
10
00
11
10
10
00
10
10
00
00
10
11
00
10
00
10
10
00
10
00
01
11
00
01
00
10
00
10
11
10
10
01
01
01
10
01
10
10
10
01
00
10
10
11
10
11
00
00
01
00
10
00
01
11
00
00
10
00
01
10
10
01
10
00
00
00
10
11
01
00
10
10
11
10
11
11
00
00
00
00
11
00
00
10
00
00
00
01
11
00
00
11
10
00
01
10
00
00
10
10
11
10
00
00
10
01
10
00
11
00
11
10
00
10
11
00
01
00
10
11
10
10
00
10
10
11
01
00
01
10
10
00
10
11
00
00
10
00
00
10
01
00
01
00
01
10
10
11
11
11
00
10
10
00
01
10
00
10
00
11
01
00
11
00
10
00
00
11
00
00
10
10
01
01
00
11
00
10
00
10
11
01
10
10
00
10
10
10
00
00
00
00
01
01
00
11
10
00
10
01
00
01
10
10
00
11
01
11
01
00
00
01
10
10
00
00
10
00
00
00
01
11
11
10
00
01
00
00
00
00
11
10
10
01
10
10
11
10
00
11
10
10
00
10
00
01
11
10
11
01
10
00
00
10
01
01
10
01
10
11
11
00
00
00
00
01
10
11
10
10
00
00
01
10
11
00
00
11
10
10
00
00
11
00
11
00
10
10
00
11
10
00
01
11
00
10
10
00
01
01
11
10
00
00
10
11
10
00
00
10
10
10
00
11
00
00
11
00
10
00
11
10
11
10
00
11
11
10
00
10
00
00
10
00
01
11
10
00
10
00
11
10
10
00
11
10
01
10
10
00
00
00
01
11
10
10
01
00
00
10
01
01
10
00
10
00
00
00
10
00
00
10
10
11
00
11
11
10
10
00
00
11
00
01
11
11
00
01
00
10
11
00
10
10
10
01
01
01
10
00
00
00
00
00
01
10
10
01
10
10
10
00
10
00
01
10
01
11
10
10
01
11
11
01
00
00
10
00
11
00
00
10
10
00
10
10
10
00
10
10
10
11
01
00
10
10
10
01
01
00
10
11
00
11
00
11
00
10
10
10
10
00
10
00
01
01
00
11
10
10
10
01
01
00
01
10
00
10
11
00
11
10
01
10
10
01
00
00
10
10
01
11
00
00
10
11
10
10
00
00
10
11
00
10
11
00
11
00
10
11
11
01
00
11
10
01
10
01
01
10
10
00
11
00
00
10
10
01
10
00
00
00
00
00
01
11
10
00
10
10
10
11
01
00
10
11
00
10
11
00
10
11
11
01
11
11
11
10
11
00
00
10
10
00
01
10
11
00
11
01
00
00
01
11
11
01
00
00
10
11
11
00
00
11
00
00
10
11
00
00
10
00
10
11
01
00
00
00
00
10
10
11
10
10
10
01
01
11
10
00
00
11
11
01
01
11
10
00
00
00
01
10
10
00
10
10
00
00
10
01
00
00
10
00
00
01
11
10
00
00
01
00
11
10
00
01
10
01
10
10
01
11
11
01
10
10
11
00
10
00
00
11
00
00
11
00
01
10
10
01
10
11
00
01
10
10
11
01
01
10
10
10
00
00
11
00
01
00
00
10
01
00
00
00
11
11
00
00
11
11
00
00
10
10
00
10
00
00
10
10
10
10
11
01
01
00
10
00
11
10
01
00
11
10
00
11
10
00
01
01
11
00
10
00
11
00
10
10
01
00
10
11
00
10
01
10
11
00
11
00
10
10
00
10
00
10
11
10
01
00
00
11
10
10
10
01
00
00
00
01
10
11
11
00
10
00
00
11
01
10
00
00
00
00
00
10
10
11
00
01
10
01
00
11
00
00
00
10
00
10
00
10
10
00
10
00
10
10
00
10
11
00
01
00
00
10
10
11
00
01
10
00
01
11
10
00
01
10
11
11
00
10
11
10
00
01
11
11
01
10
11
10
01
00
10
10
10
10
11
11
00
00
00
01
01
10
10
10
00
00
00
01
00
00
00
11
10
00
00
10
11
00
10
11
01
01
10
11
00
00
11
11
00
11
10
00
10
00
11
00
11
11
00
00
00
00
10
11
01
11
10
01
10
11
00
00
11
11
00
10
00
01
01
11
11
00
11
11
00
00
10
11
10
10
00
00
10
10
01
10
00
10
01
00
00
00
00
00
11
00
00
01
11
10
01
00
01
00
11
10
01
10
11
01
10
10
10
01
00
00
00
00
10
00
00
10
10
00
11
00
00
10
00
10
00
00
00
01
11
00
10
10
10
11
00
01
11
00
10
10
01
00
11
10
10
10
00
10
00
10
10
10
10
00
10
00
00
00
10
11
10
01
10
11
00
10
01
10
01
10
00
00
00
10
10
01
11
00
00
10
11
10
10
00
00
00
10
11
11
11
10
01
00
00
00
10
01
00
11
10
00
00
01
11
00
10
10
00
00
10
11
10
00
00
01
01
10
01
00
10
11
00
10
10
00
00
01
11
11
00
00
00
10
11
01
00
11
10
10
10
10
00
10
10
00
01
10
00
10
11
10
11
00
10
00
00
01
00
00
11
10
01
00
00
10
01
10
10
00
00
01
00
11
10
10
11
00
01
00
01
10
00
00
10
00
10
01
01
11
00
11
10
00
00
11
10
10
00
00
01
10
10
10
10
10
10
00
00
11
10
01
00
11
01
00
01
10
11
01
00
11
10
01
00
11
11
00
11
00
10
00
00
11
01
00
11
10
10
10
11
00
01
10
10
01
00
11
10
01
00
10
11
11
00
10
00
01
10
00
11
11
10
00
10
10
00
00
00
10
10
01
00
10
01
10
11
00
00
11
11
00
10
11
11
00
00
10
00
11
10
01
00
10
11
10
11
10
10
01
00
00
10
10
00
10
00
10
00
10
00
00
10
10
10
10
00
01
00
01
00
01
10
10
00
01
10
11
00
01
11
10
00
10
10
00
00
00
10
00
00
10
11
10
00
10
01
11
00
01
00
00
00
00
10
00
00
10
11
11
01
00
10
10
00
10
10
10
00
00
11
00
00
00
00
00
11
10
10
00
10
00
10
00
01
00
11
00
00
10
10
01
10
00
00
00
00
01
00
00
00
10
10
00
00
00
11
10
11
10
01
01
00
11
10
00
10
00
00
11
10
00
00
10
10
11
10
00
01
11
11
00
01
00
10
10
11
10
00
10
10
10
00
01
00
01
01
10
10
11
10
10
10
00
11
00
11
10
10
10
01
11
10
01
00
01
10
10
00
10
00
00
01
10
01
11
10
00
00
11
10
11
10
00
00
00
00
10
10
01
10
11
00
00
00
11
00
00
10
00
10
10
11
10
00
01
10
01
01
00
01
10
00
00
10
10
10
00
11
01
00
00
11
01
01
11
01
00
00
10
11
01
00
10
00
10
00
11
10
10
01
10
00
01
10
10
11
11
00
00
10
00
10
01
11
00
00
00
10
10
10
10
01
00
10
10
00
10
01
00
10
01
00
10
10
10
00
00
11
10
10
00
10
00
00
10
11
01
11
10
11
00
10
11
10
11
10
00
11
11
00
11
01
00
10
00
10
00
10
10
00
01
10
00
00
11
00
00
00
11
10
11
01
00
10
01
10
11
00
00
10
10
10
00
10
10
10
00
00
00
00
00
10
11
10
00
11
00
00
10
01
00
00
10
10
00
10
10
00
00
00
00
10
10
01
10
11
10
00
11
00
10
11
00
00
11
01
01
00
11
01
10
11
00
00
10
10
00
10
01
10
00
01
10
00
01
11
00
00
00
10
00
00
00
10
00
00
11
10
01
10
10
00
11
11
01
01
00
10
11
10
10
11
11
00
11
01
00
00
00
00
00
00
11
01
10
00
10
01
10
11
10
00
10
01
10
11
01
10
01
00
10
01
00
10
10
00
00
10
11
10
00
10
11
01
10
00
01
10
00
00
00
10
10
01
10
10
10
01
01
01
01
10
00
01
10
10
10
01
00
00
00
10
00
01
10
00
10
01
10
01
11
11
01
01
11
00
10
11
00
00
01
10
10
00
00
01
11
00
00
10
10
00
01
00
10
00
11
10
11
00
00
10
00
01
10
10
01
10
11
00
00
01
00
10
00
00
10
00
11
10
00
00
11
00
00
10
00
00
10
10
01
10
01
11
10
10
10
01
11
01
01
10
10
10
01
10
00
00
10
00
10
10
10
10
11
01
01
01
01
01
01
10
10
00
00
10
11
00
01
10
11
01
10
00
11
11
01
10
00
11
00
00
10
00
01
10
10
10
11
01
10
01
01
10
10
01
00
10
11
10
11
01
00
10
00
11
10
10
01
01
10
10
01
11
11
10
10
00
11
00
00
11
10
10
10
10
11
00
10
10
11
01
10
01
00
10
10
00
01
00
10
10
11
10
01
00
10
10
00
10
01
11
10
10
01
01
00
01
10
01
01
10
11
10
10
10
01
00
10
11
01
11
00
01
10
00
10
10
00
00
00
10
00
00
11
10
00
00
01
00
10
10
10
00
00
01
11
01
10
11
00
00
00
11
00
01
11
00
01
10
00
11
00
11
01
00
10
10
11
00
00
10
00
00
01
00
10
00
10
11
11
01
10
00
00
00
10
00
01
10
01
00
01
10
11
10
00
00
11
01
10
01
00
01
00
01
10
10
10
00
01
10
00
00
11
01
11
01
11
01
11
10
11
11
00
01
10
10
01
00
10
01
00
10
10
10
10
01
01
00
01
10
10
01
00
10
00
10
10
00
00
11
10
00
00
10
10
10
10
00
00
00
10
01
10
00
00
10
10
00
00
10
10
00
00
11
11
01
10
00
00
00
00
10
00
00
00
10
11
11
10
11
00
10
10
11
00
01
10
10
11
10
10
10
00
00
10
10
00
11
10
01
11
01
01
10
00
01
10
10
00
10
11
00
10
01
00
00
00
11
10
01
10
01
00
11
10
01
11
10
10
00
10
11
01
01
00
00
10
01
10
10
01
00
10
01
00
01
00
00
11
11
00
00
00
11
10
10
00
00
00
10
00
10
10
10
11
10
00
00
10
01
00
01
10
10
00
10
01
10
10
00
00
01
00
11
00
11
00
00
11
00
00
10
10
11
00
00
10
10
10
00
01
10
00
00
10
00
10
11
00
00
11
10
11
00
00
10
00
01
10
10
01
00
11
10
01
10
01
00
01
01
10
01
00
10
00
10
01
00
10
11
10
10
00
00
11
00
00
00
00
10
10
01
01
11
11
10
10
00
01
10
00
00
10
11
00
10
01
10
01
00
10
10
00
00
11
01
00
01
10
00
00
01
00
11
10
01
00
11
01
10
01
00
10
00
11
00
11
00
11
10
11
00
10
10
00
10
10
00
10
00
10
00
01
10
00
11
01
00
10
00
10
00
11
00
11
00
01
00
00
01
11
10
10
10
00
00
00
10
10
00
10
01
10
10
00
01
01
01
10
11
00
01
10
00
00
10
11
01
10
11
00
00
11
10
10
10
00
01
00
00
11
10
01
00
10
11
11
10
00
00
10
00
00
11
00
01
10
00
11
11
00
00
10
10
01
00
01
10
10
11
10
00
10
10
10
01
00
10
11
00
01
00
10
00
01
10
11
10
01
00
00
00
10
10
10
00
00
10
10
10
10
11
00
11
10
11
01
00
01
00
11
10
11
11
00
01
10
10
00
00
11
10
10
01
01
10
00
10
00
00
11
01
11
10
10
01
10
10
00
00
00
11
01
00
00
00
00
00
10
10
01
10
00
10
10
11
01
01
10
11
11
00
11
10
00
00
11
10
11
01
00
10
01
00
00
10
11
00
01
01
10
10
10
01
10
11
01
11
00
00
11
00
10
11
00
10
11
10
10
01
10
10
10
11
10
00
00
10
01
01
01
10
00
00
00
10
01
00
10
00
00
00
00
10
01
00
11
00
01
10
01
10
10
10
00
00
00
10
10
10
00
00
10
00
10
11
10
11
10
01
10
00
00
10
00
00
10
10
10
11
10
11
10
00
00
00
11
00
01
11
11
11
10
01
10
00
01
01
00
11
10
01
01
10
00
11
00
00
10
11
11
11
00
00
00
10
01
00
10
10
10
11
01
00
00
00
10
10
11
00
00
11
10
01
01
10
11
11
10
01
11
10
01
00
11
00
01
00
00
01
10
01
10
10
00
10
00
01
01
11
11
10
00
10
00
00
11
11
00
01
10
11
00
00
10
10
01
01
10
10
10
10
01
10
10
00
01
10
00
00
00
00
11
10
00
01
10
10
11
10
00
11
00
00
01
00
01
10
00
11
00
01
10
00
10
10
00
11
00
11
10
10
01
10
11
10
00
01
11
00
00
00
10
10
00
01
11
10
11
00
01
10
10
01
10
10
10
11
00
00
00
00
10
00
00
11
00
11
00
11
10
00
01
01
00
10
10
00
11
11
10
10
00
00
00
00
10
10
00
10
00
11
00
00
00
11
00
00
00
11
11
10
10
01
00
11
10
10
00
00
11
01
00
11
00
00
00
11
10
00
00
10
01
00
10
10
00
01
11
01
10
01
00
10
10
10
11
00
11
10
10
00
10
10
00
00
00
10
10
00
00
10
10
00
10
00
11
10
00
00
10
10
01
00
11
00
11
10
10
00
11
00
10
10
00
01
00
00
10
10
00
00
11
01
00
01
00
11
01
01
10
11
00
00
11
00
00
10
00
10
11
10
00
10
10
10
00
10
10
10
10
00
10
10
00
10
00
01
10
00
00
11
01
00
00
11
01
11
00
00
00
10
01
10
10
10
10
00
10
00
11
11
10
11
11
00
00
11
00
10
01
10
10
10
00
01
00
10
00
01
10
10
10
01
00
10
10
10
10
00
00
10
10
10
01
10
11
10
00
10
10
01
11
10
00
11
11
11
11
00
00
11
11
10
10
11
00
10
01
01
11
10
00
00
01
11
10
00
00
10
10
10
00
00
10
01
10
00
11
11
10
00
00
11
00
10
11
11
01
01
00
11
10
11
10
01
01
11
10
00
11
10
11
10
01
00
00
10
00
00
10
01
10
01
10
01
00
00
01
10
00
00
11
10
00
00
00
10
00
11
11
10
00
00
01
10
00
01
10
00
00
00
10
00
00
00
00
10
11
11
00
10
11
10
11
11
10
00
11
10
01
10
10
00
01
11
00
11
11
00
11
00
11
10
00
01
01
11
10
10
00
10
00
01
10
11
00
00
10
10
10
11
10
00
10
10
00
10
00
00
00
01
00
01
10
10
10
01
10
01
10
11
10
11
00
11
10
11
01
00
00
00
11
10
00
01
10
01
01
11
00
10
10
10
10
00
11
01
10
01
00
00
00
00
10
10
10
00
10
00
10
00
01
11
10
10
10
10
00
10
00
01
01
10
10
00
10
00
10
00
10
00
01
10
11
10
00
10
00
01
00
00
10
11
11
00
00
11
00
00
00
00
10
11
00
11
10
10
01
00
10
00
10
10
00
00
00
00
11
11
10
10
10
10
10
10
00
00
01
01
11
10
11
01
11
10
00
00
10
10
11
00
10
01
00
11
10
11
01
11
10
10
10
11
11
00
10
10
00
11
00
01
00
00
10
10
01
01
01
10
01
00
01
10
11
00
00
11
00
10
11
10
01
00
01
00
10
10
11
00
10
01
10
00
01
10
11
00
10
10
10
10
00
10
10
01
11
00
00
11
10
10
00
00
11
10
01
11
00
11
10
01
01
01
10
10
10
11
00
00
11
00
10
01
00
10
10
10
00
10
10
01
10
11
00
01
11
01
01
11
10
10
00
01
00
10
00
01
10
10
00
00
11
00
10
11
00
11
11
11
00
11
10
01
00
10
11
01
00
10
10
00
00
10
10
01
10
10
00
11
00
11
00
10
00
11
10
00
00
10
10
01
01
10
00
00
00
10
10
01
00
11
00
10
00
00
10
10
10
01
10
10
00
10
10
00
00
00
10
10
10
10
01
01
11
11
10
00
00
00
00
10
10
11
00
10
00
11
00
00
11
11
00
00
11
00
10
11
00
10
11
10
01
10
01
00
00
10
00
00
10
10
11
10
00
10
01
10
10
00
00
00
00
00
10
10
00
11
00
01
11
01
10
00
00
01
11
11
01
01
10
00
01
10
10
00
01
11
11
10
10
01
00
00
00
00
01
11
00
10
11
00
00
11
11
00
01
00
11
00
10
01
00
00
01
10
01
10
00
00
00
01
10
10
01
00
11
10
10
10
10
00
01
10
10
01
10
00
11
11
11
11
00
10
00
11
10
00
01
10
10
10
00
00
11
10
00
00
11
00
00
10
10
11
00
10
10
10
00
00
00
00
01
10
00
01
10
01
01
10
10
01
00
11
00
11
00
01
11
10
00
00
10
10
11
00
01
11
11
10
00
10
10
00
00
11
01
00
00
00
10
00
01
11
11
01
10
00
01
00
11
00
00
10
00
10
01
00
10
10
11
00
00
11
11
11
10
00
00
10
10
00
00
11
01
00
00
10
00
11
10
00
11
01
00
01
00
10
00
10
10
10
01
00
10
00
10
10
10
10
11
11
01
10
11
00
00
10
00
00
10
10
01
10
01
00
01
10
01
00
10
00
00
00
00
00
10
10
00
11
00
10
10
11
10
00
10
01
00
11
10
00
10
00
10
11
00
01
00
01
01
10
11
11
00
00
10
11
00
00
10
10
00
11
00
00
00
11
10
00
11
01
10
11
10
00
00
10
00
01
00
11
00
00
10
11
00
00
11
11
10
00
11
11
00
00
11
11
00
01
00
10
00
10
10
00
00
01
01
00
00
10
00
10
10
11
01
00
01
00
10
01
01
10
11
11
01
10
10
11
11
00
00
01
00
01
10
10
00
00
10
00
11
10
10
01
00
01
00
01
00
00
00
00
10
10
10
00
00
11
10
10
10
10
00
01
00
10
10
00
00
00
01
01
10
01
10
00
00
00
10
10
10
01
00
00
10
00
00
00
10
10
10
00
10
00
10
00
10
00
00
10
00
10
10
01
00
10
10
10
00
11
11
00
10
10
10
00
10
01
00
00
10
00
00
00
11
10
10
00
10
01
10
10
10
10
00
11
10
01
01
10
10
11
10
01
10
10
11
00
10
10
01
00
01
11
00
00
10
10
10
10
00
10
00
00
11
10
00
00
10
11
00
11
11
00
00
00
00
10
00
00
00
11
10
00
10
00
01
00
10
10
10
00
00
00
01
00
10
01
10
10
11
11
11
01
10
00
01
11
00
00
10
10
10
00
00
01
01
00
01
00
11
11
00
00
01
10
10
11
00
11
11
01
01
11
10
00
10
10
00
01
01
10
11
01
10
01
00
11
10
10
00
00
10
00
10
01
00
11
01
01
00
10
11
10
10
00
00
10
00
10
01
11
10
10
10
10
10
00
01
01
01
01
10
01
01
00
11
10
00
01
10
10
11
10
00
01
10
11
10
01
01
00
00
01
11
11
11
00
00
00
10
00
11
10
01
00
11
10
01
11
00
11
10
10
10
00
11
01
00
00
10
00
00
11
11
10
01
10
01
10
10
00
10
11
10
00
11
10
00
10
10
01
01
11
01
11
11
10
01
00
00
10
10
01
01
10
10
10
01
10
00
10
10
01
00
10
11
01
01
11
10
01
10
00
00
10
11
00
01
00
11
10
00
11
11
00
01
10
10
00
10
00
01
00
10
10
10
10
00
10
11
11
00
10
10
10
10
00
00
11
11
01
00
10
11
11
11
10
01
01
01
11
00
01
10
11
10
10
00
00
00
11
00
00
11
10
00
10
00
10
10
10
00
01
10
01
11
00
10
10
00
00
10
10
00
10
00
10
10
11
00
00
01
00
11
10
00
01
01
10
10
00
00
10
00
01
11
10
00
11
00
00
01
10
10
00
00
10
10
01
01
10
00
11
11
00
10
10
11
10
00
00
10
00
01
10
00
10
00
11
10
00
10
10
10
00
11
10
11
00
00
10
10
11
00
00
10
11
00
00
10
10
00
10
10
11
10
10
11
10
01
10
00
10
00
00
11
11
00
00
10
10
01
00
11
10
11
00
00
10
00
00
00
01
10
10
10
00
01
00
10
01
11
10
01
11
10
01
11
00
10
10
01
00
00
10
10
01
10
01
10
10
10
01
00
10
11
00
00
00
00
11
00
11
11
00
01
10
00
00
01
10
00
00
11
10
00
10
10
00
01
00
11
11
00
10
00
00
11
11
00
01
01
11
10
00
00
10
11
01
10
11
10
10
11
00
01
00
00
11
10
10
00
10
10
10
00
00
11
00
10
00
01
00
01
11
00
11
01
11
00
01
11
11
10
01
11
01
01
10
00
01
01
00
10
10
10
01
00
10
11
00
10
10
01
01
11
00
00
10
01
11
10
01
00
00
10
11
10
10
10
00
10
01
10
00
01
00
01
10
10
01
11
10
10
00
01
00
10
11
10
00
10
10
00
11
10
01
00
00
10
10
00
11
11
00
11
10
00
00
10
00
10
00
00
10
10
00
00
10
10
00
10
00
10
10
00
00
11
11
11
01
10
01
00
11
00
10
01
10
11
00
00
10
10
00
10
01
01
10
11
10
10
01
01
01
00
10
11
00
00
11
00
00
11
00
11
10
00
10
00
00
00
01
00
11
01
10
10
10
01
10
00
00
10
11
10
00
00
01
10
11
01
00
10
11
00
00
01
10
01
00
10
00
00
11
11
01
01
00
11
11
00
10
10
00
10
10
00
00
10
00
11
00
00
00
11
10
01
10
01
10
10
00
11
00
11
11
01
00
11
10
00
00
10
01
00
00
10
10
00
01
11
01
00
10
10
01
00
00
10
11
00
00
11
11
00
00
00
10
11
10
10
01
00
10
10
00
01
10
11
11
00
10
01
00
10
00
01
11
10
00
10
00
00
10
10
01
01
00
00
00
01
10
00
11
10
01
10
01
00
10
10
10
10
10
10
01
00
00
00
10
00
00
10
10
00
00
10
01
10
01
10
10
10
11
00
10
00
11
11
10
10
10
10
00
00
00
10
01
00
00
00
01
01
00
00
11
10
01
11
10
11
00
11
00
11
10
01
01
10
00
01
11
10
01
00
00
00
00
10
10
00
00
01
01
00
10
11
11
10
10
10
00
00
10
10
01
00
00
00
01
11
00
00
01
00
01
10
11
10
10
10
00
10
10
10
01
00
10
00
00
01
10
11
10
01
10
01
10
00
11
00
01
11
00
10
11
00
10
10
01
00
11
00
10
10
11
00
10
01
00
11
00
10
11
10
01
00
00
11
00
01
00
01
11
11
01
10
01
10
10
00
10
10
00
01
00
01
11
11
00
10
11
00
00
10
01
01
10
10
10
00
00
11
00
10
10
00
01
00
10
11
10
10
10
10
10
01
01
10
00
10
11
00
10
00
00
10
10
10
01
10
11
10
10
10
11
10
11
10
00
00
10
00
11
10
01
00
00
11
01
11
11
01
00
10
00
00
10
00
00
10
10
00
11
10
10
10
00
01
01
01
10
00
11
00
10
11
10
00
11
10
10
11
00
01
10
10
00
01
11
10
00
00
01
01
00
10
10
01
01
00
01
00
00
10
11
10
00
00
11
00
11
10
00
00
00
00
11
11
00
11
10
10
11
11
01
00
00
00
11
10
00
10
10
01
00
01
10
11
10
10
11
10
00
00
00
11
10
11
11
10
00
00
00
10
11
00
00
10
01
00
01
10
01
10
11
11
10
00
00
00
01
11
10
01
01
10
11
10
10
10
00
01
01
11
10
10
00
10
00
00
00
10
00
00
10
10
00
00
01
00
01
00
10
00
10
00
00
00
11
10
10
10
00
00
10
10
01
00
01
00
01
00
00
10
10
11
00
10
10
01
11
01
11
10
11
10
00
00
00
00
10
01
00
00
10
10
01
11
00
10
11
00
10
10
11
01
00
00
00
10
10
10
11
11
11
00
00
10
10
11
00
10
01
01
01
10
10
00
01
10
00
00
00
10
10
11
11
10
00
10
00
01
00
01
10
11
00
11
10
00
00
10
11
11
10
01
00
01
00
01
11
00
11
11
10
00
00
10
10
00
01
10
11
10
00
10
00
00
10
01
01
10
10
10
01
00
00
10
11
00
00
00
00
00
10
01
00
10
11
10
01
00
00
01
11
10
01
01
10
01
01
01
11
10
00
10
11
01
10
11
01
10
11
00
00
11
01
01
10
00
00
00
11
10
00
10
10
10
11
00
10
10
00
11
01
10
00
00
00
01
00
10
10
01
10
00
00
11
11
00
11
10
01
01
10
10
10
00
10
01
01
10
10
00
11
10
10
00
10
01
00
00
10
10
00
00
01
00
10
10
01
10
10
00
00
01
10
00
00
10
00
00
01
10
10
01
00
10
10
11
00
01
10
10
00
10
00
01
10
11
00
01
11
00
11
00
00
01
00
11
01
00
10
10
10
10
10
00
00
10
10
01
11
10
00
00
10
00
11
10
11
10
10
10
10
00
00
01
10
11
10
10
10
01
10
11
10
01
10
11
01
10
10
10
00
00
11
00
10
01
00
01
01
10
11
10
00
00
00
10
00
00
10
01
10
00
10
11
10
00
10
10
10
10
00
01
10
10
00
00
11
01
00
00
10
00
10
10
00
10
00
11
10
00
00
10
11
00
01
00
11
00
11
10
10
00
00
11
10
00
10
10
00
11
10
00
11
00
01
00
10
00
10
10
11
01
00
11
10
01
01
00
10
10
00
00
01
01
01
00
10
10
00
11
01
10
10
10
10
10
00
11
10
00
00
00
10
10
00
10
10
11
11
01
10
01
10
00
00
10
01
00
00
10
11
10
00
00
11
00
00
00
11
10
00
10
00
10
01
00
10
00
01
00
11
10
00
00
00
10
01
01
10
00
10
10
11
00
01
10
00
00
01
10
00
00
10
11
00
00
01
11
10
11
11
10
01
10
00
00
10
11
11
10
01
01
00
11
01
11
00
10
10
10
01
00
11
10
00
00
00
10
10
00
00
10
00
11
01
11
00
00
10
10
11
00
10
00
01
10
00
10
10
10
00
10
11
11
00
11
10
01
10
10
00
01
10
11
00
10
00
00
00
00
11
11
11
00
00
10
00
01
10
01
00
11
11
10
01
10
00
01
10
10
10
10
00
11
10
01
01
11
00
00
11
01
00
01
00
10
11
01
01
00
00
10
10
00
00
10
10
11
10
11
10
10
11
10
10
00
10
11
00
11
00
00
10
00
01
10
00
00
11
00
01
00
10
11
10
01
00
10
10
10
00
11
00
00
10
10
00
10
00
00
00
00
10
00
00
00
11
10
11
00
00
00
00
10
00
01
10
10
11
10
11
01
00
10
11
11
10
10
01
00
10
10
11
11
00
10
10
01
00
00
00
11
10
11
10
00
10
00
00
10
01
01
10
11
00
01
11
11
10
10
10
00
01
10
00
00
11
10
10
10
10
10
00
10
01
00
10
00
10
11
00
00
00
01
00
10
00
00
10
11
00
11
01
10
01
10
10
01
00
10
00
10
10
10
10
00
10
10
10
11
10
10
10
01
10
10
11
01
00
10
00
00
01
00
00
10
11
00
01
10
00
00
10
00
00
10
10
10
00
01
10
00
00
00
01
10
00
00
00
10
10
10
01
11
00
10
11
00
11
00
10
10
00
01
10
10
01
10
11
00
10
00
00
10
11
01
00
10
10
10
00
00
10
00
11
10
11
10
10
10
01
10
01
00
11
11
11
11
00
10
10
11
00
01
10
11
01
01
01
00
11
10
01
00
10
10
10
01
10
00
10
00
10
10
01
10
01
10
01
00
00
11
11
00
00
00
00
00
00
11
10
11
10
10
10
10
00
10
11
11
01
11
01
10
11
01
00
11
11
00
11
10
00
10
11
00
01
01
10
00
11
01
00
10
10
10
11
01
00
11
10
01
00
10
11
00
01
10
10
01
11
01
10
10
00
10
01
11
10
00
01
11
10
10
10
00
11
01
11
10
01
10
11
10
01
10
10
00
00
01
01
10
10
11
00
11
00
01
00
01
01
10
00
10
10
00
10
11
10
00
00
11
10
00
00
00
00
10
11
00
00
10
10
11
10
00
00
11
10
00
10
10
01
00
00
00
01
10
10
00
00
10
11
10
11
10
01
10
00
01
11
00
01
00
10
10
00
01
10
11
10
10
00
11
00
10
00
01
01
00
11
10
01
10
11
00
00
10
11
10
00
10
00
00
01
10
11
00
10
00
01
10
00
00
10
10
10
10
11
11
01
00
01
11
11
11
10
00
10
01
00
10
10
11
11
11
10
11
11
00
11
00
10
10
01
01
01
00
11
00
10
10
01
11
10
00
00
11
11
11
10
10
00
10
00
00
10
11
00
10
01
00
11
10
10
10
10
00
01
00
10
00
00
11
11
01
00
10
11
11
00
01
01
01
00
01
11
00
01
00
11
11
10
10
11
10
01
11
00
00
10
00
01
00
11
11
00
01
01
01
01
10
11
00
10
10
00
10
10
00
10
00
10
00
01
00
00
10
10
11
01
00
10
00
00
10
00
10
00
00
11
10
00
10
10
10
00
01
00
00
10
01
00
10
01
00
10
01
10
01
00
10
11
00
11
01
00
10
01
10
10
01
00
10
10
01
01
01
11
00
10
01
00
01
10
10
01
01
11
10
01
00
01
01
10
10
00
10
11
00
00
00
00
01
10
10
00
11
10
00
11
10
00
11
11
10
10
10
00
00
01
00
10
11
10
01
00
01
10
11
11
00
10
10
11
01
10
11
01
11
10
00
00
10
10
00
10
10
10
11
10
11
01
00
10
01
10
10
00
10
11
00
00
10
10
00
11
01
00
00
00
10
00
00
10
10
00
10
11
10
10
11
10
00
01
10
00
11
10
01
10
00
10
10
00
11
01
00
11
10
11
01
11
00
00
01
10
10
00
10
10
00
00
10
11
00
01
00
11
10
00
11
10
01
00
00
10
00
10
01
10
11
01
00
00
00
01
00
11
10
00
01
11
00
10
00
00
00
10
10
00
10
00
00
11
11
00
01
00
11
01
00
00
10
00
11
00
00
00
00
10
11
10
00
10
01
10
10
10
01
01
01
00
00
10
00
00
11
00
01
10
10
00
00
10
01
00
10
10
00
01
00
11
10
01
00
00
00
00
10
00
01
11
10
10
00
11
11
10
01
10
10
01
10
01
01
00
10
10
00
01
01
10
11
00
10
10
00
10
00
11
10
00
00
10
11
10
10
00
10
11
01
01
10
00
00
10
10
10
10
00
00
00
01
10
11
00
01
11
00
10
10
10
00
01
11
00
00
11
11
00
11
10
00
01
00
00
10
10
01
00
11
00
10
10
11
11
01
00
01
10
11
00
01
00
11
01
11
11
00
00
10
01
01
10
10
10
00
10
10
00
11
11
10
10
10
11
01
00
00
00
10
10
10
11
01
00
10
00
00
00
10
00
10
00
01
11
11
00
11
00
10
10
01
10
11
01
00
01
10
10
00
01
10
10
10
01
11
11
11
00
00
11
00
00
01
10
10
00
11
10
10
00
11
00
11
00
00
10
11
00
00
11
11
10
11
00
10
00
10
00
11
01
01
11
10
01
00
10
11
00
01
10
11
01
01
00
10
00
11
10
00
01
00
11
10
10
01
11
10
00
10
10
10
00
11
01
11
01
10
11
10
10
00
10
10
11
00
00
10
10
10
00
00
00
00
10
10
00
10
10
10
10
10
01
10
00
10
00
00
10
01
01
10
11
01
00
10
10
11
11
00
00
10
01
01
01
11
10
01
10
01
00
10
10
11
00
10
11
01
01
01
00
10
10
10
10
10
00
01
01
10
00
00
11
10
01
01
01
00
11
00
00
00
10
10
00
10
10
00
11
10
10
00
01
00
00
00
10
10
00
01
00
11
11
01
00
10
11
01
00
10
00
00
10
00
01
11
00
00
11
11
10
01
10
11
10
00
00
01
00
10
10
00
01
00
00
10
10
00
10
10
00
10
11
10
01
00
10
11
10
11
00
00
10
10
00
10
11
00
00
10
00
00
00
11
10
10
00
01
10
10
10
00
00
11
01
11
10
11
11
10
00
00
11
10
00
10
11
00
01
00
10
01
00
10
10
10
00
00
10
10
10
00
10
10
01
11
10
01
00
00
11
10
01
00
11
00
00
10
00
10
10
00
01
11
11
11
10
01
10
10
01
10
10
00
10
11
01
00
10
10
00
01
00
00
10
10
00
11
10
01
01
01
00
11
00
11
00
00
10
10
10
00
01
11
00
01
01
01
00
11
10
01
00
11
10
00
00
10
01
01
10
10
10
00
11
00
01
01
01
00
10
01
00
11
10
10
11
10
00
11
10
01
10
00
10
00
00
10
00
00
11
00
00
00
10
10
10
00
00
00
00
11
01
01
10
00
10
01
01
00
11
11
00
10
01
11
00
11
11
10
00
11
11
00
00
00
00
01
00
10
10
11
10
10
00
01
01
01
11
10
10
10
00
00
10
10
01
11
11
01
00
00
00
01
10
10
01
00
10
10
00
00
10
11
10
10
11
10
00
11
00
00
00
10
10
11
00
01
11
11
11
00
10
01
10
10
11
00
00
00
10
10
10
10
01
00
01
10
10
10
10
00
10
11
01
10
01
10
01
10
10
00
00
00
11
10
00
10
11
00
11
01
00
10
10
00
00
00
10
10
10
00
00
01
00
11
00
01
00
10
01
10
11
10
00
01
11
01
00
11
10
00
01
11
11
11
10
01
00
01
10
10
00
00
10
10
01
00
10
00
00
11
11
00
00
10
10
11
00
01
10
10
11
11
00
01
10
11
11
01
10
11
10
01
10
10
11
01
00
00
10
11
00
01
00
11
11
10
00
10
00
00
11
10
01
11
00
10
10
10
00
01
00
10
10
00
11
10
10
00
00
10
10
11
01
00
00
10
00
10
10
00
10
00
11
10
00
10
10
00
10
10
10
00
00
00
00
11
00
00
10
00
11
01
11
10
10
00
11
11
00
01
11
00
00
10
00
00
10
10
01
10
10
10
11
11
10
00
10
10
10
00
01
01
10
10
00
01
01
00
10
10
01
00
01
10
11
10
01
10
00
10
10
01
00
10
00
11
01
01
00
10
01
00
00
10
11
11
00
00
01
11
11
10
01
01
00
10
10
10
10
10
11
00
01
10
00
01
11
01
00
00
10
11
11
01
01
01
11
10
00
11
11
00
01
10
10
11
01
10
10
10
01
00
11
00
11
11
10
00
10
10
00
01
11
00
10
00
10
01
11
10
00
11
00
00
01
11
10
10
00
00
10
00
00
10
10
00
11
10
10
00
10
00
01
00
00
01
10
10
10
00
11
00
00
00
10
00
11
10
10
00
00
10
00
00
10
10
00
01
00
00
10
10
10
00
10
11
00
01
10
11
00
10
11
00
00
10
10
01
10
10
10
01
00
11
01
10
11
11
10
00
00
00
01
10
10
00
11
01
10
11
10
10
01
00
01
01
11
11
00
00
11
00
11
10
00
10
11
00
11
10
00
10
10
01
10
01
00
00
00
00
00
00
00
01
10
00
10
10
00
11
10
00
10
10
10
00
10
10
00
10
10
00
11
00
00
11
10
00
00
00
11
10
10
11
10
01
00
10
10
11
00
10
10
01
11
10
11
10
00
00
00
11
00
01
10
00
01
10
11
01
10
10
00
01
01
00
00
10
00
10
00
00
11
00
10
10
10
11
10
11
00
11
10
00
01
10
10
11
11
01
00
00
10
10
01
01
01
11
00
10
00
00
10
00
00
11
01
00
00
11
00
00
10
00
10
00
00
10
00
01
10
00
11
00
11
10
01
01
10
00
10
00
00
00
01
10
01
11
01
10
00
01
10
00
10
01
00
00
10
00
10
10
00
10
10
01
00
11
10
00
10
00
10
00
00
11
01
01
10
10
00
10
10
00
01
10
11
00
11
00
00
00
11
00
11
10
00
11
00
10
11
11
10
10
10
00
00
10
10
00
10
10
00
00
10
00
01
00
10
10
00
00
01
00
10
10
00
10
01
00
10
11
01
10
11
11
01
00
00
00
11
10
00
00
10
00
00
11
10
10
01
11
00
10
10
00
10
10
11
00
10
10
01
11
00
11
00
00
00
10
01
00
10
00
01
00
10
11
11
10
10
00
10
01
10
00
01
01
01
01
01
11
10
00
00
00
10
10
01
01
11
11
01
11
10
10
11
11
00
11
00
00
00
11
10
00
10
01
01
10
00
10
11
00
01
01
10
10
01
11
01
00
01
10
11
11
00
00
01
00
10
10
00
01
10
10
10
00
10
11
00
10
10
00
00
11
10
00
11
00
10
11
01
00
00
10
01
00
11
11
00
11
00
00
10
11
01
00
00
10
01
11
10
11
11
01
00
11
10
01
10
11
00
00
10
00
00
10
11
00
00
10
00
01
10
10
11
01
00
11
01
00
10
00
00
10
01
11
11
00
01
00
10
00
10
01
00
00
10
10
00
00
11
01
10
11
01
10
11
01
11
00
10
11
10
00
00
11
11
00
11
01
00
10
10
10
00
00
11
00
11
10
00
10
10
11
11
01
10
10
10
11
00
00
01
10
10
00
10
10
10
00
01
00
10
10
01
00
00
10
00
00
01
10
00
00
01
10
11
10
01
00
00
00
00
00
10
01
00
10
00
00
11
10
01
00
11
00
00
00
10
10
00
00
10
10
01
11
11
10
10
01
00
10
10
10
00
10
10
11
11
11
00
11
10
10
10
10
00
00
00
00
10
00
00
11
00
00
01
00
10
10
00
10
00
11
10
01
00
10
00
10
01
10
10
00
00
10
01
10
01
10
00
00
01
01
01
11
11
00
00
10
10
11
01
01
01
01
10
10
00
01
00
11
10
01
10
10
10
10
10
11
00
10
00
00
10
01
11
01
10
01
00
00
00
11
10
01
00
10
00
00
00
01
00
10
11
00
10
11
01
01
00
11
10
10
10
10
00
00
10
10
10
00
11
00
00
00
00
01
10
01
10
11
00
01
00
10
00
00
11
11
10
00
11
10
01
00
10
10
11
00
00
01
00
11
00
10
10
10
01
11
00
00
00
00
00
10
01
11
10
01
00
10
10
00
10
00
11
10
01
10
01
11
10
00
10
00
00
00
00
10
00
10
01
10
00
10
10
01
00
10
00
10
00
01
10
11
10
10
00
10
11
11
01
00
00
11
10
00
01
10
10
00
01
10
10
10
11
00
01
00
10
00
00
10
11
01
01
10
10
11
10
10
11
00
00
10
00
00
10
01
01
10
00
11
00
00
00
10
11
01
01
01
00
10
10
11
01
00
11
00
01
10
11
10
10
11
00
01
10
00
00
11
11
11
11
01
10
10
00
01
00
01
10
11
10
10
10
00
10
10
10
01
01
00
00
10
10
00
10
10
00
00
00
01
10
10
00
00
10
00
00
11
01
11
00
00
10
00
01
10
10
11
00
11
10
01
11
10
01
10
00
00
10
10
00
01
10
10
01
00
00
10
01
00
11
10
01
10
10
11
00
00
10
01
00
00
10
10
00
10
00
10
00
00
10
10
00
11
01
01
11
11
00
10
10
00
11
11
01
10
11
10
11
10
10
00
00
00
11
11
00
00
00
00
11
00
10
10
01
00
10
01
00
10
01
00
11
00
01
10
11
11
00
10
11
10
00
00
11
11
00
00
00
00
01
10
10
00
11
00
11
00
00
10
01
11
00
10
10
01
10
00
11
10
01
10
00
00
11
00
11
11
10
01
11
01
00
10
10
10
10
10
01
00
01
11
11
01
00
00
01
00
11
11
11
01
01
10
00
10
10
10
00
01
00
00
00
10
11
00
10
00
01
01
01
01
10
01
00
00
00
11
10
00
10
11
01
11
00
00
10
10
10
11
10
01
00
00
11
00
01
11
10
01
11
11
00
11
10
10
00
00
01
11
11
01
10
00
11
10
00
10
11
00
00
10
00
10
11
01
01
11
10
00
00
11
01
10
00
00
00
00
10
00
00
10
10
10
01
00
00
11
00
10
00
10
10
10
00
01
00
10
10
00
00
10
10
10
00
00
00
10
00
10
01
00
10
10
10
00
10
10
00
10
11
00
10
01
10
11
01
10
10
10
01
10
10
01
01
00
10
00
10
00
10
10
10
11
01
01
10
11
10
01
00
10
00
00
10
10
11
01
00
10
10
10
00
00
11
10
01
01
11
10
00
00
10
10
01
00
11
00
00
10
00
11
10
10
00
01
11
10
00
01
00
10
10
11
00
10
00
00
10
01
10
11
10
00
10
00
00
10
01
01
00
01
10
01
10
10
10
11
10
00
01
00
01
11
00
10
00
00
00
10
11
11
00
11
00
00
01
00
11
10
00
00
10
10
00
01
01
00
00
10
10
01
11
00
11
10
01
00
10
11
00
00
10
10
00
10
00
00
10
10
10
10
00
10
11
11
10
00
00
00
00
01
10
01
00
10
00
10
10
00
00
10
10
00
11
00
00
00
00
10
11
11
01
01
11
10
00
10
10
10
11
11
00
00
10
00
10
00
00
00
10
10
00
10
01
00
00
11
01
10
10
10
00
00
00
10
11
00
10
00
00
00
00
11
10
10
01
11
00
00
11
00
01
11
11
10
00
00
00
10
11
00
01
10
10
11
00
10
10
01
00
10
10
10
00
00
00
00
10
11
10
11
01
00
01
01
00
01
10
00
11
00
11
00
10
10
10
00
00
11
10
00
00
10
00
00
00
00
10
10
00
00
10
00
00
10
11
00
11
11
10
00
10
01
00
00
11
10
00
10
11
00
11
10
01
01
00
01
10
00
00
01
10
11
00
00
01
10
00
00
00
10
01
00
11
10
10
10
10
01
00
11
10
00
01
10
00
00
00
11
00
11
11
00
00
00
10
01
11
01
00
10
10
11
10
00
10
11
01
00
00
00
10
10
10
10
11
10
10
00
00
10
10
01
01
11
10
11
10
00
01
10
00
00
11
11
00
00
10
00
00
11
01
11
10
01
01
10
11
00
00
00
00
11
10
10
00
11
01
11
00
00
10
00
01
10
10
01
00
00
10
10
00
10
11
00
00
11
10
00
10
01
00
11
00
10
10
10
10
10
10
00
00
10
01
11
00
00
01
00
10
10
11
00
01
01
10
00
00
10
00
01
00
11
00
00
11
00
01
10
00
00
00
00
00
10
10
01
00
00
10
00
00
01
10
11
01
00
11
00
11
00
10
10
00
10
11
10
00
11
01
00
11
10
01
00
01
00
10
00
01
11
10
10
01
00
00
01
10
11
00
10
10
00
01
00
00
10
10
00
00
10
11
00
00
10
01
01
01
00
10
10
00
01
00
10
10
11
01
01
11
00
01
00
10
10
11
00
00
10
11
01
01
10
10
11
00
10
10
10
00
11
00
01
10
01
00
00
10
00
10
00
10
10
10
10
11
10
01
00
00
00
00
11
00
01
10
10
10
00
00
10
00
00
00
10
00
01
00
10
10
10
10
00
10
00
01
10
10
00
01
10
10
00
11
10
10
10
00
11
00
11
10
10
11
00
01
11
10
00
10
00
00
11
00
10
00
10
10
00
00
00
10
10
10
00
00
10
10
10
10
01
00
11
01
10
01
11
01
01
10
00
01
10
10
00
10
10
00
10
00
00
00
10
00
01
11
10
11
10
01
01
00
10
10
10
10
00
00
00
10
00
11
11
00
11
10
00
01
10
10
00
01
10
10
10
00
01
00
00
10
10
00
01
10
01
10
00
01
01
01
00
00
10
11
00
10
00
00
11
10
11
00
10
00
01
10
00
10
00
00
01
10
01
00
10
10
10
10
11
01
01
11
01
10
10
10
10
00
00
10
10
10
10
01
00
00
01
10
01
00
10
10
11
10
00
11
10
00
00
01
10
10
10
00
11
00
11
10
00
01
00
10
10
10
00
11
00
10
00
00
10
01
00
00
10
00
00
00
10
11
10
10
00
00
01
01
10
10
10
00
10
10
01
01
10
10
00
00
11
00
10
10
11
00
11
00
11
01
00
11
10
00
01
00
00
00
11
10
00
10
10
00
10
00
00
10
01
10
11
10
11
00
00
10
00
10
11
10
11
10
00
10
10
00
00
10
10
00
01
11
10
01
00
11
00
11
00
01
11
01
11
10
00
10
10
10
11
00
01
00
00
00
01
11
10
10
00
10
10
01
01
10
01
10
00
10
01
00
10
00
11
00
10
11
01
01
01
11
11
01
01
01
10
10
00
01
10
10
01
00
10
10
00
11
00
10
10
00
01
11
00
01
00
01
10
11
00
00
00
10
01
10
00
00
00
10
11
00
00
10
00
11
01
10
11
10
10
11
10
00
00
00
10
10
01
10
10
00
00
10
01
01
00
10
00
00
01
10
11
00
00
11
11
01
01
11
10
11
00
01
00
10
10
11
10
00
01
10
10
00
00
11
10
00
00
10
00
11
10
00
11
10
00
00
01
11
00
00
10
00
10
01
00
00
00
10
10
11
00
10
01
00
11
01
01
10
10
01
00
10
00
10
00
01
10
01
10
01
11
00
10
00
11
01
00
10
00
11
11
10
11
00
10
00
00
00
01
00
10
00
11
11
10
00
00
10
00
01
10
01
00
10
10
10
00
10
11
00
01
10
01
00
10
10
10
10
01
10
10
00
10
00
01
00
10
01
00
00
00
10
10
01
01
10
10
10
00
00
10
00
00
01
10
11
00
01
10
11
01
10
01
00
10
11
00
00
01
01
11
10
00
11
10
11
00
01
10
11
00
00
10
10
00
01
01
11
00
10
01
11
10
00
00
00
01
11
01
10
00
10
00
00
11
00
01
10
01
11
10
01
00
10
10
10
00
10
00
00
10
01
11
00
10
00
10
10
11
00
00
01
11
00
00
00
11
10
00
11
00
10
10
00
10
10
01
00
10
10
11
01
01
00
00
10
11
10
10
11
00
00
10
10
11
11
11
10
01
10
01
10
10
00
10
11
01
01
10
11
11
00
10
10
00
11
00
00
10
10
01
00
01
00
10
00
11
01
11
00
00
10
10
10
00
10
00
00
10
10
10
01
00
00
01
10
01
10
10
10
00
00
01
01
10
10
10
11
11
10
11
10
10
00
00
01
10
10
10
00
00
01
10
10
11
10
01
10
00
00
11
00
01
00
10
11
00
10
11
11
00
00
10
00
11
00
10
10
01
00
00
00
00
00
10
11
00
10
10
00
00
00
01
10
00
10
10
00
00
11
10
10
00
10
01
00
00
10
11
00
10
10
00
00
11
00
01
10
01
10
00
00
10
01
00
11
11
00
10
00
10
10
11
01
00
11
10
00
10
01
00
10
10
00
00
10
10
11
00
00
10
00
11
11
11
00
01
10
01
01
00
01
11
10
00
11
10
11
10
01
00
10
11
01
00
10
01
00
01
00
00
11
11
10
10
00
10
10
00
00
01
11
10
00
11
00
10
00
00
11
10
00
10
11
10
10
00
01
00
10
01
10
00
00
10
00
00
00
11
00
10
11
00
11
10
10
00
10
11
00
01
10
00
10
01
00
11
10
00
00
10
01
11
01
01
01
00
01
11
00
10
10
10
10
00
00
11
10
10
01
00
00
10
01
10
00
11
11
01
00
10
10
00
11
01
10
11
00
10
10
00
01
10
00
00
00
00
11
11
00
01
00
10
00
00
10
11
10
00
00
00
00
10
10
10
10
01
01
00
11
10
10
01
01
00
00
11
11
11
10
00
11
11
00
01
00
10
10
00
11
10
10
00
00
01
01
10
00
00
10
10
11
10
01
10
10
00
00
11
10
10
01
00
10
01
00
00
00
11
10
10
10
00
01
00
00
10
10
00
00
00
11
10
00
11
00
10
10
11
01
11
11
00
01
01
10
00
01
01
00
10
10
10
00
00
00
00
11
10
00
01
01
10
10
01
10
10
01
00
11
10
00
10
00
10
01
10
11
10
10
11
10
01
11
10
10
10
10
00
10
11
00
10
11
11
00
10
11
01
11
10
10
10
11
00
01
01
10
10
01
10
00
11
10
10
10
00
00
10
11
01
10
00
00
00
01
10
10
00
10
01
10
10
00
00
10
00
10
10
10
00
00
10
10
00
11
10
01
10
01
10
11
11
00
01
10
01
10
01
00
00
00
10
01
00
00
10
01
00
11
01
00
01
10
10
01
00
10
00
01
11
01
10
00
01
11
00
11
10
00
10
01
00
10
00
00
10
10
01
01
01
00
11
10
11
10
01
00
10
01
10
10
01
10
11
11
10
01
10
10
10
10
00
00
10
11
00
10
01
00
00
10
00
00
10
00
10
01
00
11
01
01
00
11
10
00
00
11
10
00
01
10
10
00
00
11
10
10
10
00
00
00
00
10
10
00
00
00
11
11
00
01
10
01
00
11
10
00
00
10
00
00
10
11
00
01
10
00
10
10
10
11
00
00
00
00
00
00
10
10
01
00
10
00
10
10
11
00
00
10
11
11
00
00
00
10
00
00
01
10
11
11
01
01
01
01
10
00
00
00
11
10
00
00
10
11
00
10
10
11
00
00
00
10
10
10
10
00
10
10
01
00
00
10
10
00
00
01
10
10
00
10
00
11
01
00
01
10
00
01
10
01
01
11
11
00
10
00
10
11
00
01
11
01
00
11
01
00
01
01
11
10
11
00
00
01
00
11
11
01
10
00
11
10
01
00
00
10
00
11
01
01
11
00
00
10
11
10
11
01
01
00
11
00
00
10
10
01
01
00
10
00
01
10
10
00
10
11
01
10
01
10
00
00
00
11
10
01
01
10
10
10
01
11
01
01
00
10
10
11
11
01
00
11
00
10
00
01
11
11
10
11
11
00
11
00
10
11
00
01
01
11
10
10
00
01
00
01
00
11
11
00
01
00
10
10
00
00
11
11
01
11
11
11
10
00
00
00
01
10
10
00
00
10
10
10
00
11
00
11
00
10
00
00
10
11
11
01
10
10
11
01
10
00
00
11
00
00
10
00
01
10
10
01
11
10
10
00
00
11
10
00
00
11
10
11
00
10
10
11
10
01
11
10
00
10
00
01
11
11
00
10
01
00
01
00
10
10
00
00
11
11
00
00
00
10
10
10
10
00
10
11
10
01
00
00
11
00
00
00
11
11
10
00
00
10
00
01
00
10
10
10
00
00
10
10
11
00
01
01
01
10
00
11
00
11
11
10
00
00
10
10
00
00
10
00
11
01
00
01
01
00
00
11
00
11
10
01
10
11
00
10
01
01
00
10
00
01
11
10
00
00
10
11
00
10
10
01
10
00
00
01
10
10
01
00
10
00
10
10
10
00
01
00
10
10
11
00
00
00
11
11
11
00
00
10
10
10
00
00
10
00
01
10
11
11
10
10
00
00
11
10
01
10
10
10
00
00
00
00
11
10
00
00
00
10
00
10
11
11
01
01
00
00
11
10
01
11
11
00
11
11
10
00
00
10
10
10
00
11
11
10
00
10
01
00
01
00
01
00
10
11
11
10
10
11
00
01
11
00
01
10
10
00
10
11
01
01
10
01
11
01
10
10
00
00
11
10
10
00
10
00
11
10
11
01
01
10
01
11
11
01
01
00
11
11
00
10
10
01
00
10
11
00
00
10
01
10
00
00
11
10
00
00
10
01
10
00
00
11
10
01
10
10
01
10
11
10
10
00
10
11
00
11
11
00
01
00
10
11
10
10
11
00
00
01
10
01
00
10
00
00
10
00
00
11
00
01
00
01
10
00
00
00
10
10
11
10
10
01
11
11
10
00
00
10
00
00
00
10
10
10
10
11
01
01
11
00
01
01
10
00
01
11
11
10
10
10
01
00
10
01
00
11
00
01
10
10
01
10
00
00
11
00
10
10
00
10
10
10
10
11
00
10
00
10
11
00
01
10
00
00
11
01
10
10
00
01
11
00
10
00
11
10
00
00
00
00
00
10
10
00
10
00
11
10
01
10
00
11
00
10
00
00
10
00
00
10
00
11
00
00
11
10
00
00
00
11
10
10
11
00
00
11
01
00
00
00
10
10
10
11
00
10
00
01
11
00
01
01
10
10
10
10
01
00
10
10
00
11
11
10
11
10
00
00
00
11
10
00
00
01
10
00
10
00
01
11
01
11
00
10
10
10
11
10
00
10
00
01
00
00
10
01
00
00
11
10
01
00
01
01
01
10
10
00
00
11
11
10
10
00
00
10
00
10
00
11
01
01
11
10
10
00
10
10
10
00
01
10
10
01
00
11
10
10
10
10
10
00
10
11
00
01
11
00
11
00
10
00
11
11
00
10
11
10
00
00
10
10
10
01
00
10
10
00
00
00
00
10
01
01
11
10
10
10
11
10
00
01
00
10
10
01
11
00
00
00
00
11
01
00
00
00
10
00
10
10
10
11
00
00
00
10
00
00
01
11
01
00
10
00
00
01
10
11
10
00
01
11
01
00
10
10
10
00
01
00
10
11
11
00
10
10
00
01
11
00
00
00
10
01
00
10
10
11
10
00
01
00
11
00
01
00
01
10
00
10
10
00
00
10
11
10
00
10
01
01
01
00
10
11
10
10
01
11
11
11
00
01
01
11
00
00
10
11
11
00
00
11
01
00
00
10
00
00
10
11
10
00
10
00
01
01
00
10
10
10
00
00
10
00
10
11
10
10
11
10
10
00
10
00
10
11
00
10
10
00
00
10
01
00
00
10
10
00
10
00
00
00
00
11
10
11
10
10
10
10
10
10
00
11
10
00
10
00
00
00
00
10
01
01
10
01
00
00
01
01
10
11
00
00
11
10
11
10
10
11
11
00
01
10
00
01
01
10
01
11
11
00
10
00
10
10
01
11
10
00
10
10
10
00
00
00
01
01
10
10
10
10
11
00
10
10
00
11
01
11
00
10
00
01
10
00
00
10
00
10
10
10
01
00
10
00
10
10
00
00
10
10
01
10
10
00
00
11
11
01
01
00
10
10
10
10
11
00
00
11
10
01
11
10
00
11
10
00
10
10
11
00
00
01
11
00
01
10
10
00
11
10
10
10
00
00
10
10
10
10
01
00
00
11
11
11
10
10
00
11
00
10
10
01
00
00
10
10
10
00
01
00
00
11
11
11
10
10
01
10
10
10
00
01
10
10
00
00
10
10
01
00
10
10
10
10
10
01
00
01
11
01
10
00
00
00
00
11
11
01
00
11
10
01
10
11
01
00
11
10
00
00
10
10
11
10
01
10
01
10
00
00
10
00
00
10
10
00
00
00
10
10
01
01
01
01
10
10
11
00
00
11
10
00
00
10
10
11
11
00
01
10
11
11
01
01
11
10
10
10
11
11
00
01
10
10
11
01
00
01
10
10
00
10
10
11
00
00
11
01
10
10
00
10
00
10
00
00
11
10
00
10
01
10
11
00
11
10
10
00
01
10
11
00
00
10
10
11
01
10
10
10
01
00
00
10
11
10
11
01
10
10
00
00
00
10
10
00
00
11
10
10
00
00
00
11
00
11
10
11
10
10
10
00
00
10
10
00
00
00
10
11
00
00
11
00
00
11
01
11
01
10
10
00
00
10
10
01
00
01
11
00
00
10
10
00
10
01
01
11
10
10
00
10
00
11
10
11
01
01
00
01
10
00
10
01
10
01
00
11
01
00
10
00
00
11
10
00
10
11
00
00
10
01
00
01
10
11
11
11
10
11
10
01
00
10
10
01
10
10
10
00
00
10
10
01
00
11
00
01
00
01
10
11
00
00
00
00
00
10
10
00
01
01
01
10
11
00
00
11
10
00
10
10
00
11
10
00
00
00
00
00
11
10
00
00
11
10
10
11
01
10
01
00
10
10
10
10
01
00
11
10
00
11
00
10
01
11
10
11
10
00
00
10
10
10
00
00
00
10
00
10
10
10
00
00
11
10
11
10
00
11
00
10
11
10
01
01
10
10
00
00
11
10
11
00
01
10
00
11
10
00
00
10
10
00
10
00
10
00
10
11
00
11
11
10
10
10
00
01
10
10
00
11
00
11
11
00
00
11
10
10
00
00
10
10
00
01
00
00
10
11
10
00
00
10
10
01
01
10
10
00
00
10
10
10
00
11
10
00
00
11
00
10
01
00
10
10
01
01
00
00
11
01
00
10
11
00
10
10
00
01
10
00
00
00
00
11
10
10
00
10
11
01
10
11
11
01
10
10
10
00
01
10
01
00
10
11
00
01
11
10
01
10
11
10
01
00
10
00
00
11
10
00
11
01
00
01
10
00
01
00
00
10
11
00
01
11
10
10
00
00
10
11
01
10
01
00
01
01
00
00
10
11
11
11
00
11
00
10
10
00
00
10
11
01
01
10
10
00
11
00
00
10
10
10
00
00
01
00
10
01
00
00
01
10
00
00
01
00
01
01
11
00
10
00
00
10
00
01
10
10
00
10
00
10
11
10
00
10
10
10
01
01
10
10
00
01
10
00
01
01
01
10
00
10
10
00
00
10
10
00
01
00
10
10
00
00
11
00
10
11
01
10
10
00
11
00
00
10
11
01
01
10
11
10
01
11
11
00
01
00
10
00
00
01
11
00
01
11
11
00
10
10
00
10
10
10
00
00
10
01
10
00
01
00
11
10
11
11
00
01
01
01
10
11
10
00
11
00
01
00
10
10
10
00
01
00
00
00
00
10
10
01
10
11
01
00
00
01
10
01
00
10
00
00
11
11
10
01
11
11
01
10
00
00
10
11
11
01
00
10
00
10
01
10
10
10
00
10
00
10
01
11
11
01
10
01
00
11
10
01
00
10
10
00
00
10
10
00
01
10
11
00
10
10
00
01
00
10
11
11
01
01
11
10
00
01
00
00
01
00
10
11
11
01
01
11
10
10
00
00
00
00
10
10
01
10
01
11
00
00
11
00
00
11
11
00
00
01
00
00
10
10
00
01
10
11
10
00
10
11
01
00
01
10
10
01
10
01
10
10
11
01
10
10
00
00
11
01
11
11
00
00
00
00
00
01
00
00
10
10
00
10
11
10
11
00
01
10
00
00
11
10
00
10
10
01
01
00
10
00
00
00
10
10
00
00
11
11
01
00
10
00
10
10
11
00
00
11
11
00
10
10
01
10
00
10
00
10
10
11
00
00
10
10
00
01
01
00
01
10
11
00
01
10
00
01
10
00
00
00
10
10
10
00
01
10
00
00
10
01
00
10
00
01
10
10
00
11
01
01
00
11
10
00
00
10
10
00
01
10
00
10
01
11
00
11
10
10
11
00
01
00
00
10
01
10
00
11
11
01
00
11
10
01
00
00
00
10
10
01
11
10
00
00
10
00
11
10
11
00
10
11
10
10
01
00
10
10
01
00
01
10
00
00
10
11
10
11
10
00
00
00
01
00
11
10
10
11
10
10
01
00
00
01
00
11
11
00
11
00
00
10
00
00
10
10
00
00
10
01
10
00
01
11
10
10
01
00
00
00
10
10
10
10
00
00
10
10
01
00
00
01
00
11
10
00
10
10
01
10
01
00
11
10
11
01
10
00
00
00
11
10
00
01
01
00
10
00
10
10
10
00
10
10
00
10
01
00
00
10
10
00
10
10
01
10
11
10
00
10
00
00
01
10
00
01
11
10
01
11
10
00
01
10
10
00
00
00
10
00
10
10
00
00
11
00
10
10
01
00
11
11
00
10
00
01
01
10
10
00
10
11
10
10
00
01
00
00
10
11
11
00
11
00
00
00
00
11
10
10
00
10
00
10
00
00
10
10
10
01
11
00
01
01
00
01
00
10
00
00
10
10
11
00
00
11
10
11
10
00
10
01
00
10
11
10
00
10
11
11
00
00
10
01
00
00
00
10
10
01
10
11
11
10
00
10
10
11
01
01
00
10
11
01
01
10
11
00
10
10
10
00
00
10
10
11
00
00
10
10
10
11
00
10
01
00
11
10
10
10
00
01
00
01
10
00
10
00
00
01
10
11
01
00
11
00
01
11
10
00
10
00
11
01
00
10
00
00
10
10
00
10
10
01
11
10
00
10
10
01
10
00
11
10
01
00
00
00
00
00
11
10
00
11
11
00
10
00
11
01
11
10
00
11
01
00
00
10
10
10
00
00
10
00
11
11
11
11
01
10
10
01
11
10
01
00
01
01
00
10
00
01
10
11
00
00
00
11
00
10
11
00
10
11
00
10
00
01
10
01
00
10
00
01
10
10
00
00
10
01
01
10
10
00
10
00
00
11
00
01
00
11
11
10
00
00
00
11
11
11
00
00
00
01
10
10
10
01
00
00
01
01
10
10
00
00
01
00
10
11
10
00
00
00
10
01
00
11
00
00
10
10
00
10
11
00
01
10
11
10
00
00
11
01
00
00
10
10
00
00
01
01
11
10
10
11
00
11
00
00
11
11
11
00
10
10
10
10
00
01
10
00
11
10
00
00
00
11
00
00
10
01
10
00
00
10
00
00
10
11
00
10
00
00
10
10
00
00
01
01
11
11
10
10
00
01
10
10
01
00
01
10
00
01
10
00
10
00
00
11
10
00
00
10
10
10
00
01
10
10
10
10
00
00
01
10
11
10
01
11
01
01
00
10
00
00
10
00
00
10
00
00
10
00
00
00
10
00
01
00
01
01
10
00
00
01
11
10
00
00
11
10
11
11
00
00
10
00
01
01
10
11
01
00
00
10
00
00
11
11
10
00
00
00
10
10
10
00
11
10
10
00
00
00
10
00
11
00
11
01
00
10
11
11
11
00
01
00
10
10
00
00
10
11
10
01
00
10
11
11
11
10
01
00
10
10
00
00
01
11
10
00
01
10
10
00
10
01
11
11
01
00
00
11
11
00
01
11
10
01
10
00
11
11
01
00
00
11
00
00
10
00
00
10
00
00
00
10
00
01
11
11
00
00
10
01
11
00
00
10
01
00
00
10
00
00
00
11
10
10
10
10
00
00
10
10
11
00
00
10
11
00
10
10
00
01
10
10
01
00
00
01
10
11
11
00
10
00
00
11
10
00
01
11
10
00
00
10
00
00
01
10
10
11
10
01
01
10
00
10
10
00
00
11
10
11
00
00
00
10
00
01
10
10
00
10
01
00
00
10
10
10
11
10
01
00
10
00
10
01
00
00
10
10
00
00
10
00
10
00
11
00
10
11
11
10
10
00
00
00
01
00
10
00
10
10
10
01
11
00
00
00
01
11
01
00
10
10
11
10
00
00
11
11
10
10
11
11
00
10
10
01
10
10
00
00
10
11
11
01
11
11
10
11
00
01
00
10
01
00
01
10
00
01
00
10
10
00
00
11
11
11
10
11
10
11
10
01
00
10
11
00
10
10
11
00
11
01
01
00
10
00
00
10
10
10
00
00
00
10
00
10
10
10
10
00
01
11
10
11
00
00
10
01
01
10
11
01
11
11
00
11
01
10
11
01
00
10
00
10
00
10
11
10
10
01
00
00
00
10
10
00
10
10
10
00
10
00
10
11
11
00
00
10
01
00
10
10
01
00
10
10
11
00
01
11
01
01
01
10
01
01
10
01
10
11
00
00
10
00
01
10
00
00
10
01
00
00
00
11
10
11
10
01
10
00
01
11
01
11
10
00
00
10
01
00
11
10
10
00
01
10
10
11
00
01
00
01
10
10
10
00
01
10
10
11
10
00
00
01
10
10
00
10
00
10
01
01
00
01
11
10
01
00
00
10
00
00
10
00
01
11
10
00
11
00
10
11
01
01
10
10
00
01
10
00
00
10
10
10
11
00
00
10
10
10
11
10
01
11
00
00
11
10
10
11
00
01
00
10
00
00
10
11
10
00
00
00
01
11
01
10
10
10
10
00
00
11
00
01
00
10
00
01
10
01
10
10
10
10
00
00
01
10
00
11
00
00
10
00
00
10
10
00
01
11
01
11
01
01
00
11
10
11
00
00
01
01
11
10
00
00
10
01
10
10
00
10
00
10
01
00
11
01
00
00
01
11
01
00
01
00
00
10
11
01
01
10
01
00
11
10
10
10
00
00
10
11
00
00
10
10
10
01
10
11
10
01
10
01
01
10
10
00
00
11
00
00
11
00
11
00
00
00
00
11
00
11
01
10
01
00
11
11
11
00
11
10
01
00
11
10
00
10
10
00
10
11
00
10
11
00
10
00
00
10
10
00
11
10
00
00
01
10
01
00
00
00
10
10
11
10
00
10
10
00
00
01
10
10
00
01
10
10
01
01
00
00
00
11
11
11
10
00
11
00
00
10
00
11
10
00
00
01
11
01
01
10
00
00
01
00
00
00
10
00
00
10
01
11
11
00
10
10
00
10
10
00
00
10
00
10
00
10
00
10
00
00
11
10
10
01
00
10
10
00
10
10
01
00
00
00
00
00
10
11
01
11
11
11
01
00
01
00
00
11
11
00
00
00
01
11
10
00
10
00
10
10
00
01
01
10
10
11
00
11
10
00
10
10
00
10
01
01
00
11
00
10
10
01
10
10
11
01
10
10
10
00
01
00
00
00
10
00
10
10
10
10
10
10
00
11
01
10
01
01
10
00
11
10
11
00
01
10
00
00
10
01
00
01
11
00
10
10
10
11
00
01
00
10
10
11
11
11
10
01
10
01
00
11
10
01
00
10
10
01
00
10
10
01
00
11
11
11
10
00
00
00
10
10
00
00
01
10
10
00
01
10
10
10
00
01
00
00
10
01
11
10
11
10
01
00
10
00
00
11
10
11
00
00
00
01
00
11
11
10
00
01
00
00
00
00
10
00
10
01
11
01
10
11
00
01
11
00
00
11
10
01
01
00
10
00
00
10
10
01
00
10
00
00
10
01
00
10
10
10
00
10
10
00
00
10
10
10
11
10
00
00
00
00
01
00
10
10
01
10
00
00
10
11
00
11
10
10
01
11
00
10
00
11
00
00
11
11
10
10
11
01
10
01
00
10
00
10
11
00
11
10
11
11
01
11
10
10
10
00
10
00
00
00
10
10
00
10
00
00
00
10
11
11
00
00
00
10
00
00
00
11
01
10
00
10
01
10
10
00
10
10
00
11
10
10
00
01
00
00
10
11
10
10
10
01
00
00
00
10
11
00
00
00
11
11
00
10
01
00
10
11
01
00
10
10
00
01
10
10
10
11
11
00
01
01
11
00
00
10
10
00
00
00
10
11
00
01
10
10
00
10
10
01
10
01
00
10
10
00
01
10
10
10
11
00
10
11
00
00
10
10
00
11
10
10
10
00
10
10
10
10
11
01
10
11
10
01
00
01
00
01
10
11
10
00
11
10
01
01
00
01
00
00
10
01
10
11
00
00
10
10
00
11
10
01
10
11
00
00
11
10
00
00
11
10
11
10
00
10
11
10
11
00
10
01
10
00
00
10
00
00
11
00
10
10
10
00
10
10
00
01
01
00
00
11
10
10
10
00
11
01
11
00
00
00
00
10
10
00
00
01
00
00
10
11
01
00
10
00
00
11
00
10
10
00
10
10
01
10
11
00
10
01
01
11
10
10
01
10
11
00
00
11
10
00
00
11
11
00
01
01
01
01
00
10
00
00
11
11
11
10
00
01
11
01
10
01
10
10
10
10
10
00
00
00
00
10
00
10
00
10
01
00
00
10
11
10
10
10
00
11
10
01
10
01
01
00
00
11
00
01
10
10
10
11
11
11
10
01
11
01
11
00
01
11
10
10
10
00
01
10
11
10
01
00
10
10
01
00
11
10
00
00
10
00
11
00
00
00
10
10
11
00
10
00
10
00
10
01
00
11
00
00
00
10
00
00
10
10
01
10
10
00
10
00
01
10
00
10
10
00
00
01
00
11
00
01
11
00
11
10
00
00
01
10
00
00
11
00
00
10
10
00
00
10
10
11
11
00
00
11
10
01
00
11
00
01
10
10
00
00
10
10
01
00
10
00
00
10
01
00
10
11
01
00
01
00
00
11
10
01
11
00
00
01
00
11
10
10
10
11
10
00
11
11
00
00
10
00
00
00
10
10
00
10
00
10
10
00
01
01
11
00
00
10
11
00
01
00
10
10
10
11
00
11
10
10
10
00
00
11
00
10
11
10
01
00
00
01
11
10
11
10
11
01
10
11
01
00
00
00
10
01
10
11
10
00
10
00
00
10
10
10
00
00
10
10
01
11
10
10
00
10
01
00
10
00
01
10
00
10
00
00
00
01
11
10
00
00
00
00
10
00
10
11
00
10
11
01
11
10
00
00
00
00
11
11
01
10
00
00
10
10
10
01
00
00
10
10
01
10
10
10
11
11
10
10
11
00
00
01
10
00
01
00
00
01
10
10
10
00
01
10
10
00
10
10
10
11
00
00
10
11
10
11
11
00
00
00
10
11
00
00
10
10
01
10
01
00
10
10
00
10
01
11
10
01
10
00
00
10
00
01
01
11
10
11
10
11
11
11
00
01
11
11
00
11
10
01
11
10
01
01
10
10
11
10
00
00
10
10
10
10
11
10
10
11
10
00
01
00
11
01
00
10
11
11
01
10
10
01
00
01
11
10
10
00
01
00
01
10
11
00
10
10
00
00
10
00
11
00
10
11
10
00
10
10
00
11
10
00
00
00
10
10
00
10
00
01
11
11
10
00
00
00
00
00
10
10
10
01
00
11
00
11
00
00
00
10
00
00
10
10
10
00
00
10
00
00
10
00
11
00
10
00
01
00
00
10
00
10
00
01
01
11
01
10
10
01
00
00
11
11
10
00
01
00
01
00
11
11
01
00
10
10
00
00
11
00
01
10
00
00
00
10
00
11
01
11
11
01
00
10
00
10
00
10
01
01
11
10
11
01
00
11
11
01
00
11
00
10
10
00
10
11
11
00
00
00
10
10
10
00
00
01
10
01
00
00
10
10
11
00
11
11
00
11
00
00
11
00
00
10
11
01
10
00
00
10
11
10
10
10
11
10
10
00
10
00
10
01
01
10
00
00
00
00
10
00
11
00
00
10
11
10
10
10
00
01
00
11
00
00
10
10
11
01
10
11
01
10
00
10
01
00
00
10
11
00
10
00
00
00
10
00
11
01
00
01
10
10
10
11
00
10
11
00
01
10
00
00
01
10
11
00
00
01
00
00
01
00
10
11
00
10
00
00
10
00
00
10
10
10
00
10
01
01
11
00
01
10
10
01
11
00
01
10
11
00
11
10
10
00
00
01
10
01
01
00
10
00
00
11
00
01
11
11
10
01
11
01
10
10
00
11
01
00
11
10
00
10
00
01
01
00
10
00
00
00
10
00
00
10
10
10
00
01
00
10
11
10
01
10
10
00
00
10
10
11
00
01
00
01
00
01
10
10
10
01
10
11
00
01
11
00
00
10
01
00
01
10
11
10
00
00
01
10
10
01
11
10
01
00
10
10
11
01
00
00
00
00
11
11
00
10
11
10
11
11
10
00
10
10
01
11
11
00
01
11
10
11
00
01
01
10
11
11
00
00
10
10
00
00
10
00
00
10
01
11
00
00
10
11
11
01
00
10
11
00
00
01
11
10
00
10
10
00
00
01
11
01
00
11
00
10
10
01
00
00
01
11
01
10
01
01
10
00
11
10
10
01
10
10
10
00
01
00
11
10
00
01
10
00
00
00
10
00
01
10
00
11
10
00
10
10
10
11
00
01
00
10
10
00
10
00
10
10
11
00
11
00
11
10
10
10
00
10
10
01
00
01
10
10
10
00
00
10
00
00
00
10
00
00
01
00
00
10
10
00
10
00
00
10
01
10
00
00
10
01
01
10
01
10
01
11
11
00
00
10
10
10
01
10
11
10
10
00
10
11
11
01
01
01
10
11
00
10
10
01
01
00
00
10
00
00
11
10
11
01
11
00
00
00
00
00
01
11
10
10
10
00
00
10
10
10
00
00
00
00
00
10
01
01
10
11
00
11
00
00
00
11
10
00
01
11
00
10
10
00
10
00
00
11
11
10
10
00
11
10
00
10
01
00
11
10
11
00
00
00
01
10
10
10
10
00
01
00
11
11
01
00
10
11
01
11
10
00
01
01
11
10
10
01
00
11
11
11
00
10
10
10
00
00
10
00
00
01
10
00
10
10
01
10
10
00
10
00
00
00
00
00
00
11
00
10
10
10
00
01
10
10
01
11
01
10
11
00
00
01
10
11
11
11
01
10
00
10
00
00
00
10
11
00
01
01
00
00
00
10
10
00
00
00
10
00
00
10
10
01
01
10
00
01
10
01
11
00
00
10
00
00
10
11
11
11
10
00
00
11
00
00
10
10
01
11
10
01
10
11
11
10
01
10
11
00
01
10
10
00
00
00
11
10
00
11
10
10
00
10
00
11
01
00
01
01
11
01
00
11
01
10
10
10
00
00
10
11
00
00
00
11
00
01
00
10
00
11
10
01
10
11
00
11
01
00
01
11
10
01
00
10
10
11
01
10
10
00
01
00
10
10
00
10
00
10
10
00
01
10
10
01
00
11
11
10
10
10
10
10
10
01
11
10
01
10
00
11
10
10
01
10
10
10
00
01
01
10
11
10
01
00
00
11
10
01
00
00
10
00
10
00
01
10
10
10
10
10
11
00
00
11
00
10
11
11
10
10
00
00
00
00
10
01
00
10
01
10
00
10
10
00
00
01
11
00
01
10
00
01
00
11
10
11
01
10
10
00
00
10
11
01
10
10
01
11
00
11
10
10
11
10
10
00
00
10
10
10
01
11
11
00
10
10
10
10
10
01
00
10
11
10
11
10
01
00
11
01
01
10
10
10
01
00
10
10
00
00
11
00
00
01
00
10
00
11
11
11
00
00
00
00
00
11
11
00
10
10
00
01
01
11
00
00
01
01
10
10
00
00
11
11
10
10
00
00
01
10
00
11
10
10
01
01
00
01
10
10
00
00
10
00
00
10
10
11
10
10
00
10
10
10
01
00
10
11
01
10
00
01
01
01
11
01
11
00
00
10
00
00
10
11
10
01
10
10
11
00
00
10
01
00
01
01
00
10
10
10
11
00
01
00
00
10
10
10
01
10
10
01
00
10
00
00
01
10
11
10
11
00
00
00
00
10
10
00
00
00
10
11
00
00
11
00
10
01
01
00
00
11
10
10
00
10
00
01
00
00
00
00
10
11
00
00
11
11
00
00
11
00
01
10
10
10
10
11
00
00
10
11
10
10
10
00
01
00
11
10
10
10
00
00
11
00
00
00
00
10
00
00
10
01
11
11
00
10
01
10
11
00
00
10
00
10
11
01
11
00
01
11
11
10
10
10
01
10
10
01
00
00
01
00
10
00
10
10
01
01
10
00
01
01
00
10
00
10
11
01
00
11
10
10
11
00
00
01
10
10
10
00
00
10
11
00
10
11
00
11
11
10
00
00
00
10
10
01
11
00
00
10
10
10
11
10
01
00
10
10
10
00
10
00
10
00
10
01
01
01
10
00
00
00
00
10
11
01
00
00
00
00
01
00
01
00
11
10
00
10
10
00
01
10
11
10
00
00
10
10
01
00
10
10
01
00
10
00
01
00
00
10
11
11
01
01
10
10
10
10
00
00
11
11
00
00
10
00
10
11
00
00
10
00
10
10
11
00
10
11
01
10
00
11
11
11
10
00
00
10
10
11
11
00
00
10
00
10
01
01
11
01
10
00
00
01
10
01
01
10
10
01
00
00
01
11
11
11
00
00
10
11
11
11
00
10
11
00
11
10
00
00
00
01
00
11
10
01
00
10
11
01
10
00
00
10
01
00
10
10
10
00
11
10
00
11
00
01
00
10
11
10
01
00
10
11
11
00
11
10
01
10
10
00
01
00
11
10
00
10
11
11
00
11
11
01
01
10
10
10
01
01
01
00
11
00
01
10
11
00
11
10
00
10
11
10
11
10
00
00
10
10
00
10
10
11
10
01
00
00
10
00
00
00
00
10
11
10
10
11
00
10
00
10
10
11
10
01
00
10
10
10
01
00
00
10
10
10
00
10
10
00
10
01
10
11
11
00
00
00
00
01
10
10
01
01
11
11
10
00
00
10
10
00
01
10
10
00
11
10
10
10
01
01
00
00
00
10
11
00
10
00
00
00
01
11
10
10
00
01
10
00
00
10
10
00
10
01
01
00
00
10
11
00
11
10
01
00
11
11
00
11
00
10
10
11
00
10
11
01
10
00
10
00
00
00
01
11
10
00
00
10
00
11
10
11
10
00
01
10
10
00
10
00
10
10
01
00
10
11
10
00
01
00
11
00
11
00
00
10
01
10
10
00
00
00
10
01
11
10
00
11
11
11
00
11
10
01
11
10
01
10
10
00
01
11
10
11
01
10
10
01
01
10
11
00
01
10
11
10
11
00
01
10
01
10
10
00
00
11
10
10
00
10
00
00
10
00
10
10
01
01
10
11
10
00
00
00
01
01
11
10
01
11
11
00
00
10
10
01
10
11
00
10
10
00
10
00
11
01
10
10
00
10
00
10
00
00
00
00
10
01
11
10
11
00
11
00
10
01
10
11
01
10
11
00
11
10
00
01
11
10
00
11
00
00
00
10
01
10
10
00
10
10
10
00
10
00
01
11
10
10
00
10
00
00
00
10
01
10
11
10
00
01
00
01
01
00
10
00
11
00
01
11
00
01
00
10
00
10
10
00
01
10
10
00
00
00
11
00
00
11
10
10
01
10
10
10
01
00
11
11
00
11
00
01
10
00
01
00
10
11
11
01
00
10
00
00
01
01
11
10
11
10
01
10
00
11
00
00
11
11
11
11
00
01
11
00
01
10
10
00
10
00
00
10
00
10
10
10
00
00
00
10
10
00
10
00
10
11
00
11
00
01
00
01
10
10
10
11
01
10
00
01
11
01
00
00
10
00
01
01
00
00
10
00
10
00
01
10
11
10
11
10
10
10
10
10
00
00
10
10
10
01
10
00
01
10
00
10
10
01
01
01
11
10
00
00
00
00
00
10
10
10
10
00
10
10
01
00
10
01
00
10
00
00
10
01
10
01
00
00
00
00
01
00
00
11
10
11
00
11
10
00
11
01
00
11
10
00
11
10
11
00
01
10
01
10
00
10
01
00
11
01
00
10
10
10
00
11
10
10
10
01
10
11
11
00
11
01
00
10
00
10
10
11
11
00
00
10
10
00
11
10
01
00
01
01
01
01
00
01
10
10
01
00
11
10
00
01
00
00
00
00
10
10
10
00
10
10
10
01
10
10
00
01
00
00
01
11
01
01
00
10
00
00
00
01
10
10
11
10
11
10
11
00
00
11
11
10
01
10
01
00
10
10
00
01
00
10
11
00
10
01
00
11
11
10
00
00
11
11
00
01
11
10
01
01
10
00
00
01
10
10
00
10
11
00
11
11
00
00
10
10
00
11
10
00
10
00
01
10
01
10
11
10
00
00
10
01
00
10
11
00
00
11
01
00
01
00
11
10
00
00
01
00
11
10
10
00
00
00
01
10
11
00
00
01
11
01
10
10
00
00
00
01
00
01
11
10
01
10
00
01
11
11
00
00
01
11
10
10
00
01
01
01
10
11
00
00
00
10
10
01
00
10
00
00
01
01
00
00
01
00
11
01
10
00
00
10
11
10
00
00
00
00
01
10
10
01
11
10
00
01
10
11
00
11
00
00
10
00
10
00
00
10
01
00
11
00
00
00
10
00
10
11
01
11
10
00
10
10
10
10
00
00
10
11
00
10
11
00
10
10
10
00
01
10
01
00
01
10
10
10
00
10
10
00
10
00
01
10
10
10
10
01
00
11
11
10
01
00
01
10
10
01
01
00
10
11
00
01
11
10
00
10
10
01
11
10
00
10
00
11
10
00
11
10
10
11
01
00
10
11
10
10
10
10
10
00
00
00
10
10
11
10
10
11
11
00
11
00
01
01
10
10
11
00
10
00
10
01
01
10
00
11
10
00
01
10
01
00
01
10
00
10
10
11
00
01
10
01
10
11
01
01
00
11
10
00
00
01
11
11
00
11
00
11
10
10
11
01
11
10
10
00
10
10
00
10
00
00
00
00
10
00
10
11
10
10
00
01
01
00
10
10
01
01
11
11
10
11
10
10
00
00
00
10
10
00
00
00
10
11
00
10
10
00
11
10
00
00
10
10
00
00
10
01
11
10
10
10
10
00
00
00
00
11
10
11
11
10
00
00
10
00
01
10
10
01
00
11
00
00
11
01
11
11
10
01
11
00
01
10
00
00
00
10
00
11
10
01
11
00
10
10
01
01
00
11
10
00
00
01
10
11
11
01
00
11
10
01
00
10
10
00
00
00
10
11
10
01
00
01
00
00
10
10
00
00
10
10
10
00
11
00
01
00
00
10
10
00
00
00
10
11
00
00
10
00
00
01
11
10
00
10
10
00
10
01
11
11
11
01
01
10
00
01
11
10
00
01
10
10
01
10
01
11
10
01
00
10
10
11
01
00
10
00
00
10
00
00
10
01
01
10
10
00
10
10
11
00
10
11
10
01
00
00
10
11
10
01
00
11
10
01
00
10
01
00
10
01
10
11
00
01
10
00
10
10
01
10
00
00
10
10
00
10
10
10
00
10
01
00
10
11
01
00
00
10
00
11
00
10
10
10
00
00
11
00
11
10
00
10
10
10
11
10
01
01
10
11
10
00
10
10
00
00
11
10
11
01
11
10
10
11
10
10
01
00
11
00
00
00
10
01
10
11
00
10
11
10
00
00
11
10
10
11
10
10
00
11
00
00
10
00
10
00
10
10
00
10
10
10
11
10
10
10
10
00
10
10
10
00
01
11
00
01
00
10
10
11
10
01
00
10
11
10
10
00
10
10
00
00
00
00
11
10
00
10
10
10
11
11
00
00
00
00
11
00
00
10
00
10
00
10
10
00
00
01
11
00
10
00
00
01
10
01
10
00
11
11
01
11
11
01
10
11
11
11
01
00
11
11
00
01
10
01
00
10
11
11
10
01
01
10
00
01
10
00
10
11
10
00
00
10
00
11
00
00
01
10
11
01
10
00
10
10
10
10
01
00
01
10
00
00
01
11
10
01
00
11
00
01
10
01
11
11
10
00
01
10
00
01
00
11
00
00
10
11
11
00
11
10
10
00
00
11
01
00
11
00
00
10
10
00
00
01
10
11
01
01
00
10
10
10
00
10
11
11
10
00
11
11
01
00
01
01
10
10
01
11
10
11
01
00
10
00
00
00
00
11
10
00
00
10
01
11
00
01
11
11
00
10
00
00
00
11
10
11
00
11
01
00
00
11
10
10
01
01
00
01
10
11
10
11
00
00
01
00
11
11
00
00
10
11
11
10
01
00
10
10
00
00
10
01
01
10
10
00
10
10
10
11
00
01
10
11
01
11
10
01
00
10
10
00
10
11
00
10
00
01
10
00
10
10
00
01
00
11
10
00
00
11
10
01
01
10
10
10
10
01
00
00
10
00
10
00
00
00
01
10
01
00
10
10
10
10
01
10
11
00
10
10
01
01
01
00
10
11
00
10
10
00
10
10
10
00
10
10
00
10
00
10
11
00
10
10
00
10
00
00
10
11
11
00
00
10
10
10
11
00
00
10
01
00
00
10
10
10
00
01
10
10
00
10
10
10
01
10
00
01
10
10
10
01
10
00
11
10
11
01
00
10
10
00
00
00
01
10
01
01
00
00
10
00
11
10
10
11
00
00
10
00
11
11
10
01
10
11
00
00
10
11
00
00
10
10
11
00
10
10
10
00
10
00
01
00
10
00
11
00
11
11
10
00
01
00
10
10
00
10
10
00
01
10
11
00
11
00
11
11
01
01
11
00
11
11
00
01
00
10
10
00
01
00
00
10
10
01
10
01
10
10
10
10
01
10
00
01
10
00
00
10
11
00
11
10
01
00
00
10
00
10
10
00
00
10
10
11
00
11
10
10
00
10
00
00
00
11
00
00
00
00
10
00
11
00
10
10
01
01
00
11
10
10
00
00
01
10
01
11
10
10
10
10
00
00
10
01
01
10
01
11
01
11
11
11
10
00
01
11
10
00
10
01
00
10
00
10
10
01
10
00
11
00
11
01
11
10
10
00
00
10
11
01
01
10
01
11
10
10
10
00
01
10
11
00
00
00
10
00
10
01
10
10
00
00
00
11
10
10
00
00
10
10
00
01
10
10
11
10
11
00
11
00
10
00
00
10
11
00
01
10
10
10
10
11
10
10
01
01
10
00
00
10
10
00
01
11
10
00
10
00
01
01
11
10
01
01
00
11
10
01
00
01
00
10
10
00
10
11
01
10
11
10
11
01
11
11
10
01
11
11
01
11
11
00
10
10
00
00
01
11
11
10
00
00
00
10
00
11
10
00
01
00
00
11
10
10
11
10
11
10
10
00
11
10
11
00
00
10
10
01
10
10
00
10
11
10
00
00
10
11
00
01
10
10
00
10
00
01
10
11
00
11
10
00
10
10
01
00
00
11
01
00
00
11
10
11
00
00
10
10
01
00
00
10
11
11
00
00
11
00
10
11
01
10
00
00
11
10
01
00
10
11
00
01
00
00
11
10
00
00
00
10
10
00
10
01
11
10
00
00
10
00
11
00
00
10
00
11
00
01
10
10
00
01
11
01
10
00
01
10
11
00
10
11
00
01
11
00
01
10
11
00
01
10
00
00
10
10
00
10
10
11
00
01
10
00
10
01
10
10
10
01
00
10
10
01
10
00
10
10
10
01
01
11
00
00
10
10
01
00
01
11
11
01
00
00
10
00
00
00
10
10
10
10
10
00
11
01
00
00
10
11
10
01
00
01
11
00
10
11
00
01
10
10
00
00
00
11
10
01
10
10
10
10
00
00
11
10
00
00
00
00
00
00
00
10
10
10
00
10
00
00
11
00
10
00
01
10
00
00
11
00
00
00
11
10
10
11
01
00
00
00
01
00
10
10
10
00
10
11
00
11
11
11
00
11
11
01
11
10
01
00
00
10
11
01
01
00
10
00
10
00
10
11
00
10
10
10
10
01
00
11
11
00
01
11
00
00
10
10
11
10
01
01
10
00
10
10
00
00
01
10
11
10
00
01
10
11
11
10
01
01
11
10
11
01
00
10
10
01
11
10
00
10
00
00
10
00
11
00
00
00
00
10
11
10
00
00
00
10
01
10
00
10
10
00
00
11
00
00
10
00
11
10
11
10
11
10
11
00
00
10
11
10
00
10
10
00
01
10
00
00
11
00
01
01
00
11
10
00
10
11
01
01
11
10
11
01
01
00
10
01
00
11
10
10
00
00
01
10
11
01
01
00
00
00
01
00
11
10
00
11
10
10
10
01
00
10
00
00
00
00
00
10
11
01
10
00
11
10
01
01
00
01
10
11
10
10
00
00
01
10
10
10
10
01
10
10
10
00
00
10
10
00
10
01
00
10
00
01
10
10
00
11
10
00
00
10
10
10
00
00
10
00
00
10
00
10
10
10
00
10
01
00
11
00
11
01
00
11
01
00
10
01
00
01
00
10
10
01
00
11
00
01
01
10
10
11
00
01
00
11
00
01
00
10
10
00
00
01
00
01
11
01
10
00
11
11
10
01
01
11
11
01
00
00
01
01
00
10
11
01
10
00
11
01
11
01
00
10
10
01
10
00
10
11
01
00
01
00
00
00
10
01
00
11
10
00
00
10
10
00
10
11
00
00
11
01
00
01
00
10
01
00
10
11
10
00
00
10
11
10
00
11
10
11
10
00
01
00
10
01
10
01
10
10
01
01
10
10
00
10
10
00
10
00
01
10
10
00
11
00
10
00
10
00
00
10
10
01
01
01
00
00
11
10
10
01
10
10
10
00
11
00
01
11
10
00
10
11
01
00
10
00
00
11
00
10
00
11
10
10
10
00
10
11
01
01
01
10
10
10
00
01
10
11
00
00
10
01
00
10
00
00
00
10
00
00
01
11
00
01
00
10
00
01
10
10
00
00
10
00
00
11
11
11
10
01
10
01
00
01
10
10
00
10
11
00
01
10
10
00
10
00
10
00
01
00
10
10
00
10
10
10
01
00
01
00
01
00
01
01
11
11
00
01
10
01
00
01
00
01
10
10
11
00
11
11
00
00
00
10
01
10
10
11
10
11
01
00
01
10
10
10
11
01
10
11
00
10
11
00
01
11
11
11
01
00
10
00
00
01
00
10
01
00
10
11
10
01
10
00
11
00
11
00
01
10
10
00
00
11
10
10
00
00
10
00
00
10
00
00
10
00
10
00
00
01
01
00
11
01
00
10
00
10
10
00
00
01
00
10
00
00
10
00
01
01
11
10
01
10
01
01
10
11
00
01
10
00
00
00
10
11
00
10
00
00
11
11
10
01
00
11
01
00
00
10
00
00
00
10
10
00
00
00
00
10
11
10
01
10
10
10
10
00
00
10
10
10
10
00
00
00
10
00
10
10
10
11
00
00
00
01
10
11
10
11
00
11
01
00
11
00
00
10
00
00
11
00
11
00
11
00
00
11
00
01
10
10
01
10
11
01
01
00
00
10
10
10
00
10
00
00
00
00
10
10
11
00
11
11
10
11
00
11
10
01
00
10
10
00
10
11
00
01
10
00
00
00
10
11
00
01
00
00
00
10
01
00
00
10
11
11
00
10
00
11
10
00
11
10
10
00
11
10
11
11
10
10
00
10
00
00
10
10
00
11
00
00
00
11
10
11
10
00
11
01
00
11
10
00
01
10
01
10
00
00
00
11
00
11
10
00
11
11
00
00
11
01
10
10
01
01
10
10
00
10
01
01
01
10
00
10
00
10
11
00
01
01
10
00
00
10
00
10
10
01
00
00
10
00
11
10
11
01
11
00
11
01
00
01
10
01
00
00
00
11
00
01
01
10
00
00
10
10
10
10
11
00
01
01
11
01
10
10
00
11
00
01
11
01
00
10
01
11
00
00
10
00
10
00
11
01
00
11
10
00
10
11
10
10
10
01
01
10
11
01
10
10
10
11
11
01
01
00
01
10
00
10
10
00
01
00
10
00
10
10
00
10
10
00
00
00
01
01
01
01
10
11
01
10
01
10
10
00
00
00
10
10
00
00
10
01
10
10
10
00
11
00
00
10
10
11
00
01
00
00
00
00
10
11
10
10
11
00
00
00
10
10
10
00
11
01
01
11
10
01
00
11
11
01
00
10
11
00
01
10
00
00
10
10
11
00
01
00
11
01
11
11
00
00
10
01
00
10
10
00
10
00
10
10
10
01
10
00
00
10
10
11
10
00
10
00
00
00
00
11
10
01
11
00
00
10
11
01
11
10
01
00
11
00
00
00
10
10
00
01
10
01
11
11
11
11
10
01
01
10
00
00
11
11
01
00
10
10
00
11
00
10
11
00
00
01
00
10
00
00
10
11
00
00
00
10
11
10
10
00
11
10
00
01
00
01
10
00
10
10
00
10
11
00
10
00
10
11
00
01
10
01
00
00
01
10
10
00
00
11
00
10
00
00
00
10
00
10
11
10
00
00
01
01
10
00
11
01
10
10
00
10
10
10
01
10
10
00
11
00
00
00
00
11
11
10
00
00
10
00
10
10
00
10
01
01
00
00
10
11
10
10
11
00
10
10
01
11
01
00
10
10
00
10
00
00
01
01
01
10
10
01
10
00
11
10
01
01
00
11
00
00
00
10
00
11
00
00
11
00
10
00
00
10
00
00
00
10
00
01
00
01
01
00
10
00
10
00
00
11
11
00
00
11
00
10
00
01
10
10
11
00
00
10
10
10
10
10
11
00
00
10
11
10
00
10
11
10
11
11
00
10
00
00
11
10
01
01
11
11
10
01
10
00
00
10
11
01
00
10
10
00
11
00
00
10
01
00
01
00
11
01
01
01
11
00
11
00
00
01
10
10
00
10
00
01
00
01
10
00
00
00
10
00
01
11
00
10
00
00
00
10
10
11
01
00
11
00
00
10
10
00
10
11
10
11
10
00
10
10
01
01
00
10
10
10
00
00
01
11
00
00
00
10
11
11
10
01
01
01
01
10
10
10
01
10
10
00
00
10
10
00
00
00
11
10
10
10
10
11
01
00
10
00
00
01
10
11
11
00
01
00
11
00
10
00
10
10
01
10
10
00
11
00
00
01
10
11
00
11
01
01
01
11
11
10
10
00
10
10
00
01
11
11
10
01
10
00
00
10
11
00
01
00
11
10
00
10
10
10
01
11
00
10
10
10
00
00
10
10
00
01
00
11
10
10
01
10
10
00
10
10
10
00
10
00
00
10
00
01
00
10
00
10
00
10
00
10
00
00
10
10
10
11
00
00
01
10
10
10
00
00
11
00
11
00
11
10
01
00
01
00
10
11
01
11
10
10
01
00
01
11
00
01
11
01
10
00
10
10
00
10
00
00
10
10
00
01
00
01
01
10
00
00
00
11
10
00
10
01
00
10
11
10
00
10
11
00
00
00
11
00
10
00
00
00
00
00
11
10
01
00
00
00
10
01
11
10
01
11
11
10
11
00
00
00
10
11
10
00
00
00
11
10
00
11
10
10
10
00
00
11
10
01
11
00
00
11
00
10
11
01
10
00
00
01
00
00
11
10
01
01
01
00
10
10
10
00
01
11
11
10
01
10
00
10
10
11
00
10
10
00
01
11
01
00
10
10
11
10
10
00
00
10
00
10
00
01
00
11
10
01
01
10
01
00
00
10
10
00
00
11
00
00
00
11
01
10
00
00
01
11
01
00
10
00
10
10
11
11
10
10
00
00
11
00
01
00
11
11
01
10
01
10
10
10
00
01
11
01
00
10
10
00
11
11
00
00
10
10
11
01
00
01
11
11
11
11
00
00
00
10
10
01
00
01
10
11
11
10
00
10
01
00
00
10
01
00
11
00
01
01
10
00
10
00
00
10
01
10
10
10
10
11
01
11
11
00
01
10
00
00
10
10
00
00
10
01
10
00
11
10
11
11
00
10
10
00
01
10
11
01
11
00
10
00
10
11
00
10
10
10
00
10
10
01
00
00
00
10
10
10
00
00
11
01
00
00
10
00
10
11
01
11
10
00
10
00
10
00
10
01
00
01
00
11
11
01
10
10
10
10
10
00
10
10
10
00
01
11
00
10
10
00
10
10
01
01
11
10
11
01
01
11
10
10
00
10
00
10
11
01
01
00
00
10
10
01
00
11
11
10
10
00
10
00
00
01
00
10
00
00
10
10
00
01
10
10
10
00
10
10
10
00
11
10
10
10
10
10
00
10
10
01
00
00
11
10
00
01
00
10
00
00
00
10
10
00
01
00
11
00
01
00
11
10
01
10
10
00
00
10
00
00
10
10
01
00
10
00
00
10
10
00
10
00
00
10
00
10
00
01
10
00
00
10
10
00
10
10
00
01
01
10
00
10
10
00
10
00
11
11
11
01
00
10
01
00
10
10
00
00
00
00
10
01
00
01
00
11
10
10
00
01
10
10
00
01
10
00
10
01
00
11
01
10
01
11
10
01
00
11
10
10
00
10
00
00
10
00
00
10
10
10
10
10
10
00
00
10
01
00
01
01
01
11
01
10
10
10
00
10
10
00
00
10
10
10
00
10
10
00
00
00
00
01
10
11
11
10
00
00
11
00
10
10
01
10
01
10
10
01
01
00
11
10
00
00
11
00
10
10
00
10
01
00
10
00
00
11
11
10
11
11
00
10
01
10
01
00
00
01
10
00
00
11
10
10
01
00
10
10
00
11
10
11
11
11
10
00
00
10
10
00
10
00
10
10
00
11
10
00
01
00
00
10
10
00
00
01
00
10
01
00
01
10
11
00
01
11
10
00
00
01
10
10
00
10
01
00
11
11
10
00
00
01
10
00
01
00
11
10
10
10
10
01
10
11
00
10
10
10
10
10
01
00
00
00
11
11
10
11
11
00
10
10
10
01
10
10
01
00
00
00
10
00
01
00
10
10
11
11
00
01
10
01
00
01
00
10
01
00
11
10
11
00
11
00
01
01
10
11
00
01
01
01
10
11
10
00
01
10
01
00
10
10
10
01
00
10
10
11
00
10
10
01
11
10
11
00
00
00
00
10
10
00
00
11
01
10
11
00
10
00
01
10
11
00
01
00
11
01
00
00
10
01
10
10
00
10
00
10
00
00
11
10
11
10
10
00
01
00
00
10
10
00
10
10
00
01
10
10
00
10
01
01
10
10
10
00
00
01
10
01
00
10
10
11
10
00
00
10
00
01
11
01
00
10
00
00
00
10
10
00
11
00
00
00
00
00
00
00
01
01
00
10
11
00
11
00
00
00
11
10
11
00
00
00
10
10
00
10
00
10
00
11
00
11
00
00
11
01
11
00
00
10
00
00
10
01
11
10
00
10
10
11
10
00
00
10
00
00
11
01
00
00
11
11
11
10
00
11
00
00
10
01
01
10
11
10
10
01
00
01
10
11
00
10
00
01
10
10
10
00
11
00
01
11
11
01
10
11
01
00
01
00
10
10
00
10
10
11
00
01
10
10
00
01
00
00
01
10
10
01
00
10
10
00
01
10
11
01
10
01
10
00
01
01
01
11
00
01
00
10
11
10
00
01
01
10
01
10
01
01
00
00
10
10
00
00
10
00
00
00
11
10
00
01
10
10
00
00
10
00
10
00
00
01
10
10
01
10
01
01
10
00
10
10
00
10
10
00
00
10
00
01
00
00
10
00
00
10
00
11
11
01
10
01
01
01
10
01
00
10
10
00
10
10
10
01
10
10
00
11
00
10
10
10
00
11
00
01
00
00
00
11
10
00
10
10
00
00
00
00
10
00
10
11
11
10
11
10
00
00
10
10
01
01
00
00
11
11
01
01
10
11
10
00
00
10
11
11
00
00
10
00
11
10
00
10
11
01
11
01
00
10
10
10
00
10
10
00
01
00
11
10
11
00
00
10
01
00
11
11
10
00
01
00
11
00
01
10
10
01
10
00
00
11
10
11
00
11
00
01
00
11
00
01
00
11
11
00
00
10
11
00
00
10
10
01
00
10
11
00
01
11
00
10
11
11
01
11
10
01
01
10
00
00
11
10
10
01
00
11
11
10
00
11
10
00
01
11
11
01
01
10
10
01
10
11
10
01
00
00
00
11
10
00
00
10
10
10
01
01
11
10
00
00
10
10
10
00
01
10
00
10
01
11
00
00
10
10
11
10
00
10
10
10
10
11
00
01
10
01
01
10
00
00
11
10
10
10
00
00
00
10
01
01
10
10
01
00
10
11
10
00
11
00
11
10
00
10
11
10
00
10
00
11
01
01
01
11
11
00
10
11
11
01
01
00
10
10
00
10
00
00
11
10
00
10
00
00
01
01
10
01
00
00
00
00
00
10
10
00
10
11
11
00
11
10
00
00
10
00
10
10
00
10
10
10
01
11
00
00
01
11
10
00
00
10
00
10
01
01
10
00
00
10
11
10
10
01
01
00
11
11
00
00
11
10
01
01
00
00
10
00
00
00
10
11
00
00
00
00
01
10
00
10
01
11
00
11
10
11
00
00
00
11
01
00
10
00
00
10
11
10
00
00
11
00
11
11
10
00
01
10
10
01
00
01
11
10
10
10
00
10
10
01
10
00
10
00
00
00
01
11
00
01
00
10
10
10
10
00
11
00
00
11
10
00
10
01
11
00
01
10
11
00
10
11
00
01
11
00
01
10
10
10
11
01
01
10
11
10
01
10
00
01
10
00
01
10
11
10
01
00
10
10
00
00
11
10
10
00
10
00
00
00
10
10
00
10
10
10
10
10
10
10
00
00
10
00
10
00
00
01
01
11
01
00
01
11
01
11
11
00
01
10
00
10
10
01
00
00
11
00
10
10
00
10
10
10
01
00
10
11
10
00
01
00
10
11
10
00
10
10
00
11
10
00
11
00
00
00
00
11
00
11
10
00
01
01
00
00
10
10
01
10
10
01
00
10
10
00
00
00
00
00
10
00
11
00
01
00
01
00
01
10
00
11
10
11
00
00
10
10
00
01
10
10
01
00
10
00
10
01
10
10
10
00
01
01
01
00
10
10
11
10
01
10
10
10
10
00
11
10
00
11
00
00
00
00
10
10
11
10
11
10
11
00
01
11
11
01
00
00
10
00
00
11
11
00
01
10
01
11
11
00
00
10
11
11
00
01
10
00
00
11
11
10
00
01
10
00
00
00
11
10
01
10
01
00
00
00
10
11
00
00
11
01
11
11
10
01
10
11
01
10
10
11
11
00
10
00
01
10
10
00
11
01
10
11
01
10
10
01
01
10
00
00
10
01
00
10
10
10
00
00
10
10
00
11
10
00
00
00
10
00
00
11
10
10
10
00
11
10
10
00
11
10
10
10
00
00
10
10
11
00
11
00
00
00
01
10
10
10
10
10
00
00
00
10
00
01
00
00
10
00
00
00
10
10
10
10
00
01
00
00
11
10
00
00
00
01
10
00
01
11
11
00
00
10
00
11
11
11
01
00
10
00
11
01
11
11
10
00
10
00
00
10
01
01
11
01
10
01
11
10
00
00
10
11
01
00
10
01
00
01
00
10
10
10
01
01
00
11
00
00
00
10
11
10
11
11
00
00
00
10
10
11
11
11
10
00
01
00
00
01
00
00
10
10
00
10
11
11
01
00
10
01
01
10
10
00
11
00
01
10
01
10
10
11
11
01
01
01
11
10
01
10
01
00
10
11
00
10
10
01
00
00
00
00
10
00
11
11
11
10
01
10
00
00
10
11
00
10
11
00
01
10
00
10
00
00
11
10
01
10
00
00
10
01
01
10
01
00
10
00
01
00
01
10
00
10
10
00
10
10
01
11
11
10
01
01
00
01
00
00
11
11
01
10
10
00
00
00
10
11
00
10
10
00
00
10
01
00
11
10
00
01
01
00
10
00
00
10
10
10
00
01
00
10
00
00
00
01
11
10
10
01
00
10
00
00
10
11
00
10
10
10
01
10
00
00
11
11
11
01
11
00
10
01
11
11
10
00
00
00
10
10
01
01
10
00
00
10
00
00
10
10
11
11
10
00
01
01
01
00
11
00
00
10
10
11
00
10
01
00
10
10
01
01
00
11
00
01
11
11
01
00
00
11
11
00
01
10
10
01
00
10
01
01
00
11
10
00
10
00
10
11
00
00
10
10
00
10
11
00
00
10
11
01
00
11
00
00
10
01
10
00
00
10
01
00
00
00
10
11
00
11
01
10
01
10
10
00
10
10
10
11
01
10
10
00
11
11
10
01
00
10
11
00
11
10
10
00
00
00
10
10
01
11
00
00
00
10
11
00
10
00
01
00
10
11
10
01
00
11
10
10
01
10
11
00
10
00
01
11
01
01
10
11
10
00
01
10
01
01
00
11
10
01
01
00
01
11
11
01
01
11
10
11
10
10
10
00
00
01
00
10
11
10
01
00
10
00
10
10
11
00
00
00
11
00
00
10
00
10
10
00
10
10
00
10
00
00
00
10
10
10
00
01
11
10
01
00
00
00
00
10
01
01
11
10
00
10
00
10
01
00
11
00
00
00
01
10
00
00
10
01
00
11
10
00
00
01
01
01
10
10
00
00
01
10
11
00
00
11
10
00
00
11
10
10
00
10
01
11
01
11
01
10
11
00
11
10
01
10
10
01
01
10
10
00
01
00
01
00
01
10
10
11
11
01
01
00
10
10
00
00
00
10
10
00
00
10
10
10
01
10
11
00
10
01
01
00
00
10
11
00
01
01
11
10
01
10
11
11
00
01
01
00
10
11
10
10
10
00
00
10
00
00
01
01
11
11
10
00
10
00
11
00
11
11
00
11
11
01
00
11
01
00
11
10
11
00
10
00
00
10
10
11
10
00
00
01
01
11
00
00
00
10
01
01
11
10
00
11
10
11
10
10
01
00
10
00
01
00
00
11
11
11
01
10
10
00
11
11
10
10
01
01
11
00
01
11
00
00
11
00
00
01
10
10
00
00
00
00
10
10
11
00
10
10
10
00
10
10
00
01
01
10
10
00
10
00
00
10
01
10
10
01
10
10
11
00
11
01
00
11
10
01
10
00
00
00
01
10
10
00
00
00
00
00
00
10
10
00
01
10
10
10
01
00
00
00
10
10
00
01
10
00
00
00
00
10
01
10
01
00
10
00
00
00
10
00
00
00
10
11
00
01
01
00
10
00
01
10
11
11
10
11
10
10
00
10
10
11
00
00
10
11
10
10
00
00
00
01
00
10
11
11
11
01
10
00
11
10
01
00
11
10
11
10
00
10
00
10
10
00
01
10
10
01
00
00
11
10
10
10
00
11
01
00
00
00
10
10
10
00
10
11
00
01
10
11
00
11
10
10
00
01
01
10
11
00
00
11
10
10
11
01
01
10
10
00
00
00
01
10
10
00
00
11
00
01
10
10
11
10
01
10
10
10
00
00
00
00
10
01
01
10
10
00
00
11
11
11
01
01
11
01
11
00
00
01
10
10
01
01
10
01
00
10
00
00
11
00
00
10
10
10
10
00
00
00
00
11
01
00
00
10
11
00
10
10
00
00
00
00
00
10
00
00
11
01
01
00
10
00
11
11
10
00
00
11
11
01
00
10
10
00
10
10
10
00
00
10
00
10
10
10
10
11
10
01
00
01
01
11
00
10
11
00
10
10
00
00
01
11
01
00
10
10
00
01
01
10
00
11
10
01
10
00
00
10
11
10
11
01
11
11
00
11
01
11
01
11
11
00
10
10
01
11
11
01
01
01
10
00
00
00
00
10
00
00
10
11
00
00
11
00
01
01
00
11
00
00
00
00
11
10
10
10
10
00
10
10
10
01
00
00
10
10
00
10
10
01
00
01
00
10
10
01
10
00
11
01
10
10
01
00
10
00
10
10
11
01
01
00
10
00
10
10
00
11
10
00
10
10
00
11
10
11
10
00
01
10
00
00
00
10
11
01
10
00
00
00
11
11
01
00
01
10
01
01
01
10
11
00
01
10
10
10
00
00
11
10
01
00
11
10
00
00
10
00
11
01
01
11
11
10
01
00
10
11
00
01
00
00
10
01
11
10
00
01
01
00
11
11
10
10
10
00
11
00
01
01
11
00
10
10
00
00
10
10
01
11
10
01
11
00
00
00
00
10
10
00
10
00
11
00
00
01
00
11
00
01
10
00
01
10
11
11
00
00
11
10
10
01
11
11
11
00
00
00
10
01
01
00
10
00
01
01
00
00
01
10
10
00
10
11
10
00
00
10
00
10
01
01
00
10
10
01
00
00
10
10
01
00
00
10
00
10
10
11
00
00
00
00
01
11
10
10
10
10
00
01
01
01
10
01
00
00
00
11
10
00
10
10
11
10
10
10
00
00
01
00
00
11
10
00
11
10
00
00
00
00
01
00
10
10
00
10
00
00
10
00
11
10
11
01
10
11
00
00
11
10
01
10
10
00
00
01
10
00
00
10
11
10
10
11
11
11
00
00
10
00
00
10
10
01
00
10
10
00
00
10
10
11
00
00
01
10
01
10
00
00
01
10
11
00
00
11
10
10
10
00
00
00
10
10
00
01
01
01
10
00
11
00
00
10
01
00
11
01
10
10
00
00
10
10
00
00
10
11
10
10
00
00
00
01
10
10
10
00
00
10
11
00
10
00
00
00
00
10
10
01
01
01
01
10
00
00
10
10
00
00
01
11
11
00
11
11
10
11
10
11
00
10
11
00
00
11
00
01
11
11
00
01
10
00
10
10
00
00
10
10
00
01
01
00
11
10
11
10
00
10
11
01
01
01
00
00
10
10
10
00
00
10
10
00
10
10
01
10
10
11
00
10
10
00
00
11
10
00
00
01
10
01
11
10
10
10
11
00
00
10
00
10
00
10
10
11
00
01
11
00
01
10
00
01
10
00
00
10
01
00
10
00
01
00
11
01
10
10
10
10
00
00
01
10
11
10
01
10
10
01
11
10
01
10
11
01
10
00
00
00
10
11
00
11
01
01
10
10
01
11
00
10
11
00
01
01
00
01
11
10
10
10
00
01
11
11
00
01
01
10
00
00
00
10
10
10
00
10
11
01
00
10
01
00
00
10
10
11
11
00
00
11
00
00
00
01
10
10
10
11
01
00
01
00
00
10
10
00
00
01
11
11
11
00
11
00
10
01
00
11
01
00
11
00
11
00
00
00
10
10
01
10
10
00
10
11
11
11
00
00
10
11
00
01
11
11
00
10
10
00
01
00
11
11
11
00
01
00
10
01
10
00
01
10
10
10
00
00
00
10
00
00
11
11
10
10
10
10
00
10
10
00
00
10
00
00
10
10
00
01
10
01
10
10
11
11
00
10
01
00
11
11
00
01
11
01
00
11
11
11
10
00
11
10
10
01
10
10
11
01
00
10
00
10
10
00
01
01
00
11
11
00
10
10
00
10
01
01
11
11
00
10
01
00
00
01
10
10
01
10
10
10
00
00
00
00
10
10
00
00
01
00
10
10
10
00
10
00
10
01
10
01
11
11
10
00
10
01
00
10
00
11
00
00
11
11
10
01
01
00
01
00
10
10
00
10
01
10
10
11
00
11
00
00
10
00
00
10
00
01
11
00
00
00
01
01
10
10
10
11
10
00
11
01
00
10
10
11
00
10
10
01
00
10
11
00
00
10
00
10
10
10
01
00
00
01
01
00
10
10
01
10
11
11
11
00
11
01
10
10
00
00
10
01
01
11
10
00
10
01
10
00
10
10
00
00
10
00
10
11
00
10
00
10
10
00
00
10
01
00
01
10
00
11
01
10
01
00
10
00
10
10
00
11
00
01
10
01
01
11
10
00
10
10
11
01
00
11
10
10
01
11
01
00
10
00
10
10
01
10
10
01
01
01
10
10
11
10
10
01
01
10
10
10
10
00
10
00
00
10
10
11
10
00
00
11
10
01
10
10
01
00
11
10
10
01
01
11
10
00
01
00
11
10
01
11
11
11
00
10
00
10
01
01
10
00
10
11
11
10
00
10
11
01
11
10
10
00
00
00
10
00
10
11
01
00
10
01
11
10
00
10
00
01
10
11
01
11
01
10
10
00
00
10
10
00
00
01
10
10
00
10
10
00
11
10
10
10
11
01
10
01
10
00
10
01
00
01
10
10
10
00
00
10
11
00
10
10
00
10
01
00
01
10
10
10
00
11
01
00
10
01
00
10
10
01
10
11
00
00
10
11
11
10
10
00
10
01
00
11
00
01
10
00
10
00
10
01
10
10
00
10
10
00
01
10
10
00
00
00
00
00
11
00
01
11
10
11
10
00
00
00
10
10
10
00
11
00
00
10
11
10
00
00
11
00
11
11
00
01
11
00
00
00
10
10
00
10
11
10
01
01
00
10
00
10
00
00
01
00
11
00
01
10
00
00
10
10
00
11
10
01
10
10
00
00
11
00
10
10
11
00
01
00
10
11
10
11
10
10
11
01
00
01
01
11
10
01
11
00
10
10
10
10
00
00
00
00
00
10
10
01
01
00
00
01
11
01
01
11
11
01
00
11
11
01
00
10
10
10
00
00
10
01
00
01
00
01
10
10
11
00
11
11
00
10
10
11
00
01
10
00
10
11
00
01
10
11
10
11
00
00
00
10
01
00
00
11
10
11
00
11
10
00
00
01
00
11
10
00
10
00
11
10
01
00
00
01
10
10
01
01
10
00
10
11
10
10
00
10
10
00
10
01
10
00
00
00
00
00
11
01
10
11
11
10
10
10
00
10
10
00
11
01
10
10
10
00
10
01
00
00
11
00
10
10
01
01
10
11
00
11
00
00
10
00
00
00
10
10
01
10
11
10
10
00
10
10
01
00
11
11
00
10
10
00
01
10
10
10
10
10
00
00
11
01
10
00
01
00
10
00
00
11
10
01
00
00
11
00
10
11
00
01
11
00
11
01
10
00
10
10
01
11
00
01
10
00
11
11
11
00
00
10
00
10
10
00
10
01
10
01
01
01
10
00
10
10
10
01
00
10
11
00
00
11
11
00
10
11
00
01
00
10
10
10
01
11
10
00
10
10
10
10
00
11
10
10
00
01
01
10
00
00
11
00
00
00
11
00
01
00
10
11
00
11
11
10
00
00
01
00
00
10
10
10
10
00
01
11
10
11
00
11
10
00
10
00
01
10
00
01
10
10
01
00
01
10
11
00
11
11
01
00
11
11
00
00
10
00
10
11
10
01
10
10
00
00
10
00
01
11
10
11
00
11
10
00
10
10
11
00
10
10
01
10
01
00
11
10
10
11
00
10
11
00
00
10
11
00
01
11
10
01
10
00
10
00
01
10
11
01
00
10
01
10
11
00
00
11
10
01
10
11
00
11
10
00
01
10
00
00
10
10
11
10
10
00
01
00
11
11
00
00
10
11
10
01
00
00
10
11
10
10
01
01
01
10
11
10
10
00
01
01
10
10
01
00
10
01
00
10
11
01
10
01
01
00
10
00
00
10
10
00
00
00
00
10
00
00
11
10
10
00
01
11
01
11
10
01
11
11
00
10
11
01
01
11
11
00
10
11
00
00
00
10
10
00
01
00
01
11
10
00
01
10
00
00
10
01
00
10
11
00
10
10
11
00
10
00
10
10
00
11
10
10
10
00
11
10
10
10
01
00
00
01
11
01
00
10
10
01
10
11
10
00
01
10
10
00
00
10
11
00
01
11
00
10
00
11
10
11
10
00
10
10
10
00
00
11
00
10
10
10
10
01
11
11
10
00
11
10
00
00
11
11
11
01
01
01
10
00
10
00
01
00
10
10
00
00
00
11
10
00
00
10
00
00
10
10
00
10
00
00
10
10
11
10
00
01
00
10
10
10
01
01
11
10
11
00
11
11
00
00
11
10
00
00
10
10
00
10
01
00
10
10
10
11
11
10
10
01
00
01
10
11
00
00
10
11
00
00
10
10
10
01
00
00
00
10
11
01
00
11
10
11
01
00
00
10
01
10
11
00
00
01
10
01
11
01
00
11
00
01
00
01
00
11
10
00
10
10
10
00
00
00
10
00
00
11
10
01
01
01
10
11
00
10
10
01
11
10
10
10
11
00
11
00
00
11
10
01
00
10
10
10
00
00
10
00
10
11
00
11
11
00
01
01
01
00
10
11
10
10
11
00
01
10
10
11
10
11
11
11
01
10
01
00
01
10
10
10
01
10
10
00
00
10
00
10
00
11
10
00
11
10
10
11
10
00
00
11
01
00
00
00
10
10
01
01
00
10
11
10
00
10
11
00
00
00
10
10
10
00
00
11
10
00
00
11
01
10
01
11
10
10
10
00
11
11
01
10
10
10
00
10
10
00
00
00
10
00
11
11
11
00
10
00
10
00
10
00
00
00
11
00
10
10
11
00
11
00
10
00
00
01
00
00
10
11
10
10
00
00
11
11
00
00
10
11
00
01
00
10
10
11
00
10
10
00
11
01
01
11
01
00
00
10
10
01
00
10
10
10
00
10
00
00
10
00
00
00
01
00
00
00
00
10
00
00
11
01
00
01
11
01
00
00
00
11
10
00
10
00
00
01
11
10
00
00
10
00
10
00
11
10
01
00
00
01
10
00
11
00
01
00
10
10
00
10
11
10
01
10
10
10
11
00
01
01
11
00
10
00
00
01
10
10
00
01
00
11
11
00
11
10
00
10
10
01
10
10
10
00
01
10
00
00
11
10
10
00
00
11
00
11
10
00
11
00
00
00
00
10
01
01
01
11
00
11
11
01
00
10
10
01
11
00
11
10
00
00
00
11
00
01
01
00
10
10
00
11
11
00
11
11
01
10
10
00
11
10
01
10
10
01
00
00
00
10
11
10
11
10
10
11
10
00
01
00
10
00
00
11
10
11
10
00
00
11
10
00
10
00
10
10
01
00
01
01
10
01
00
10
11
10
00
01
10
11
00
10
10
01
10
00
01
11
01
11
01
01
00
00
10
11
01
00
11
11
10
10
00
00
10
00
00
10
10
10
00
11
00
01
01
10
10
01
10
00
10
10
01
00
01
11
10
01
10
01
00
10
10
01
10
11
00
00
00
10
00
10
01
00
11
10
00
00
10
00
10
01
00
00
10
10
11
00
01
01
11
11
10
00
00
01
10
10
00
11
10
01
01
01
10
01
11
00
10
10
00
01
01
00
10
00
00
00
00
10
10
01
00
10
10
00
00
01
10
10
11
00
10
11
00
10
10
00
11
00
00
10
10
10
10
10
00
00
10
10
10
10
00
00
11
11
10
10
00
00
01
00
10
00
01
00
00
01
10
10
01
00
01
00
10
10
00
00
10
10
00
10
00
11
00
00
01
10
00
00
11
11
10
10
00
11
01
10
01
11
00
10
10
00
10
01
01
00
01
00
01
10
00
10
10
00
00
01
01
11
11
00
01
01
00
00
10
00
00
11
00
10
10
00
00
00
01
11
01
10
10
00
00
10
10
00
00
01
01
11
01
00
00
10
11
00
00
11
10
10
01
01
10
11
11
10
11
00
11
01
00
01
01
00
00
10
00
10
00
00
10
01
11
10
10
11
00
11
00
00
10
10
10
10
01
01
10
00
00
10
01
00
10
10
01
00
01
01
11
10
00
00
01
00
10
01
00
10
00
10
11
10
00
00
01
11
00
10
10
00
00
10
10
00
11
11
10
00
10
10
01
00
00
00
00
11
11
10
00
10
10
00
01
01
10
00
00
10
00
01
00
10
00
01
10
00
11
10
11
01
01
11
10
10
10
10
00
00
00
00
10
10
11
10
10
00
10
10
11
11
10
00
11
10
00
00
01
11
00
01
00
11
11
11
01
00
11
00
00
11
00
11
10
11
00
00
11
11
01
01
10
10
11
00
00
00
11
11
11
10
10
00
00
10
01
11
00
00
00
01
00
10
10
10
01
00
10
01
10
01
01
10
10
10
00
10
00
00
11
10
00
10
00
11
10
11
00
10
10
10
00
10
00
00
00
10
00
01
10
00
10
00
10
00
01
11
11
10
11
10
00
00
11
01
00
11
01
00
10
00
10
00
11
00
00
10
10
00
01
10
00
10
10
00
10
00
00
01
10
00
00
10
00
11
10
11
01
00
11
01
00
00
01
10
11
00
01
10
10
00
10
11
00
01
10
00
10
10
11
01
01
10
00
00
00
10
11
10
00
01
00
10
10
10
00
10
10
11
10
00
10
10
01
01
11
01
01
01
00
00
00
01
10
10
00
00
11
01
10
10
01
01
00
00
01
10
11
01
11
00
01
10
11
00
11
01
10
10
00
11
01
01
01
11
00
00
10
10
10
00
00
10
00
00
10
00
00
11
00
11
00
11
11
00
00
00
01
10
10
00
11
00
11
11
10
10
01
10
01
11
10
00
01
00
11
10
00
00
10
01
01
00
11
11
10
01
01
00
11
11
11
10
01
00
11
00
00
00
10
00
10
10
00
00
00
10
01
10
11
11
00
11
10
10
00
01
10
00
11
11
01
00
11
10
11
01
00
10
10
10
00
00
10
11
10
00
11
01
00
11
00
01
00
11
10
00
01
11
00
00
01
10
10
00
00
10
00
00
00
00
10
10
00
11
11
11
00
00
00
10
10
11
10
00
01
00
01
00
11
00
01
01
00
00
10
11
01
10
11
10
00
00
10
00
00
11
10
00
00
11
10
00
00
10
10
01
10
10
01
00
00
10
00
10
10
01
00
11
00
00
10
01
00
00
01
10
00
01
01
10
10
00
10
11
01
10
00
10
00
01
10
00
00
11
00
00
10
01
10
00
11
10
00
00
11
10
11
11
10
00
10
10
10
10
00
10
10
00
10
10
10
00
10
01
00
10
00
01
00
10
01
00
01
00
01
11
10
00
10
11
00
00
10
00
11
10
00
11
10
10
00
10
10
00
00
01
01
10
11
00
10
01
10
10
01
00
10
10
01
00
00
01
10
00
00
00
00
10
01
01
11
10
10
00
10
11
10
00
01
10
10
00
00
00
01
01
10
10
10
01
00
11
10
11
10
10
10
00
10
10
00
10
00
01
00
00
11
11
11
11
11
00
11
10
01
01
11
10
01
11
01
01
10
01
11
11
10
00
10
10
10
11
00
00
10
00
11
10
10
01
00
10
00
10
10
10
01
11
01
00
00
10
00
11
01
00
11
00
00
11
00
01
10
10
10
10
00
10
00
00
10
00
10
10
11
11
00
10
00
00
10
10
10
01
00
10
01
10
00
00
00
10
10
01
00
01
10
00
11
01
01
10
01
01
11
00
01
10
00
00
11
00
00
00
00
00
11
00
11
10
00
01
10
01
10
00
00
01
01
01
10
11
01
10
01
11
10
01
00
11
00
11
00
00
10
10
10
00
00
11
01
11
10
10
00
11
01
01
10
10
00
11
10
01
00
00
11
10
11
01
11
10
11
11
01
01
10
10
01
11
10
01
00
10
00
00
10
00
00
10
10
00
00
00
00
10
10
01
01
11
00
01
00
11
00
01
10
10
01
00
01
01
11
11
11
10
01
00
01
00
11
10
11
01
00
10
00
10
11
01
01
10
00
01
10
11
00
00
10
10
00
00
10
10
00
00
10
00
01
11
10
00
01
10
00
00
01
10
10
00
01
01
11
10
00
11
10
01
00
11
10
01
01
10
00
00
11
00
11
10
00
00
11
00
01
00
10
10
00
00
00
11
10
11
00
00
01
01
10
10
10
00
10
00
00
10
10
10
10
10
01
10
01
11
10
00
10
10
00
01
10
10
10
10
10
01
00
00
10
00
00
11
10
11
01
01
11
11
10
00
01
10
10
00
01
10
00
00
10
10
10
00
10
11
01
00
00
10
01
11
10
00
11
11
01
10
10
00
00
01
11
00
00
11
10
01
01
10
00
01
00
10
00
11
00
00
10
01
10
01
10
00
10
10
10
10
00
00
00
11
00
11
00
10
00
01
01
11
01
00
10
01
01
10
00
00
10
10
00
10
11
10
01
00
01
10
10
00
00
00
10
10
00
10
10
00
10
11
00
01
10
00
00
10
01
10
01
00
11
10
00
10
00
01
00
00
10
00
01
00
10
00
10
11
01
00
10
01
01
00
01
10
10
00
00
10
10
10
00
10
10
01
01
10
01
01
11
01
11
01
00
11
10
01
10
11
00
00
10
11
00
11
01
11
10
00
10
10
10
00
00
00
10
01
10
11
01
10
11
00
00
00
00
00
10
10
00
00
00
00
00
11
10
11
01
00
10
00
10
10
00
00
10
10
10
00
11
01
01
11
11
00
00
01
01
00
10
11
10
00
00
10
10
11
00
00
00
00
11
01
10
01
10
10
00
01
11
10
11
01
11
01
00
10
01
00
00
11
10
01
11
01
00
10
00
10
01
00
01
11
11
01
10
11
10
11
11
10
00
10
00
00
00
00
01
10
11
11
11
01
10
00
10
10
11
00
01
10
11
01
01
00
10
11
00
00
10
11
00
01
01
10
00
00
01
10
10
01
10
01
00
00
11
00
00
10
00
10
10
11
00
00
00
00
01
10
00
00
01
10
10
00
10
00
01
00
11
01
10
10
00
00
01
10
10
01
01
10
01
00
11
00
00
10
10
01
00
10
11
11
01
01
00
01
10
11
10
10
10
00
10
10
00
00
00
10
11
11
01
11
00
10
00
00
11
01
01
10
11
10
00
11
10
10
00
01
10
00
00
00
11
10
00
10
00
00
00
00
10
00
01
01
00
11
00
01
01
10
01
00
00
10
00
00
11
10
01
00
10
10
10
10
00
10
10
10
10
00
01
10
01
00
01
11
10
10
00
00
00
10
10
10
01
00
00
00
00
10
00
10
10
10
00
01
11
10
01
11
00
00
11
00
00
11
11
10
01
10
10
10
01
00
01
10
10
00
01
10
10
00
01
01
00
11
00
01
00
00
10
10
10
00
10
10
11
00
00
10
00
01
01
00
11
00
10
00
00
11
00
00
11
10
10
01
10
11
10
01
01
10
10
00
00
10
10
10
00
00
11
10
11
00
01
11
10
01
10
00
01
01
10
10
00
00
10
10
10
00
00
11
10
10
10
11
10
10
00
01
11
01
11
11
11
10
00
10
10
01
01
11
10
01
00
11
10
11
10
00
00
11
00
00
10
00
00
01
01
11
00
01
10
01
00
00
10
10
01
00
11
10
10
10
10
10
00
00
00
00
11
10
11
11
00
10
11
10
00
11
00
01
00
01
10
10
11
00
11
10
00
00
00
00
00
10
11
11
10
00
10
01
01
10
10
00
10
00
11
01
01
11
00
10
01
10
11
01
00
10
01
01
01
10
10
10
10
11
00
01
10
11
00
10
01
10
10
01
11
10
00
10
01
00
00
00
10
10
01
10
00
00
01
10
10
10
01
01
10
10
00
10
01
10
10
00
01
00
01
00
00
01
10
00
10
10
10
00
00
00
00
00
01
01
01
11
01
00
01
00
01
00
10
11
00
11
10
10
10
11
00
00
00
10
10
00
11
10
10
11
10
10
10
11
00
01
10
10
00
10
00
01
01
11
10
11
00
11
10
10
10
10
10
00
10
10
01
10
00
01
10
00
00
01
10
10
10
10
10
01
00
00
00
00
00
01
11
01
00
11
00
00
10
11
10
11
00
01
11
00
01
10
00
00
00
11
10
01
00
11
11
00
10
10
10
01
10
10
11
00
01
10
11
00
00
00
00
10
10
00
00
00
11
00
10
11
10
00
01
01
11
11
00
01
11
10
00
10
00
10
11
00
10
00
00
11
01
10
10
01
00
10
10
00
01
10
10
00
11
10
00
00
11
00
00
00
10
00
10
10
01
11
10
10
00
11
00
01
10
00
00
10
10
00
00
11
01
11
00
11
10
00
01
10
00
00
01
10
00
01
01
11
10
01
10
01
00
11
00
01
10
11
10
00
00
10
10
00
00
01
11
10
10
00
11
10
10
00
01
10
11
11
00
00
10
10
01
11
11
00
11
10
00
11
11
01
10
10
00
10
01
01
11
00
01
11
10
10
00
00
11
10
00
00
11
10
01
00
10
10
11
00
10
10
01
00
00
10
00
10
10
10
10
11
01
10
01
10
11
11
00
10
11
01
00
10
10
00
11
00
00
10
10
00
01
11
10
00
10
10
11
10
10
10
11
00
11
00
00
00
11
00
11
10
11
11
11
00
01
11
10
10
00
00
10
00
00
10
10
01
00
11
00
01
10
01
11
10
10
00
00
10
00
01
10
10
10
01
01
10
10
11
10
10
00
01
00
10
11
00
11
10
01
10
10
11
10
00
00
10
10
10
10
10
10
00
00
00
00
10
01
10
11
00
00
01
10
10
10
00
01
10
10
10
00
00
10
10
00
00
10
10
00
01
10
11
10
10
10
10
00
10
00
10
10
00
00
00
00
11
10
00
10
01
00
11
00
10
10
00
10
00
10
10
00
00
00
11
00
00
10
11
00
00
01
11
11
00
01
10
11
01
01
11
00
01
11
10
01
00
10
10
10
01
00
00
11
10
00
11
11
00
01
11
11
10
11
01
10
11
00
10
10
11
10
00
10
00
01
10
00
01
00
01
00
10
11
00
10
10
01
00
10
00
10
11
00
11
00
10
00
01
01
01
01
11
10
10
10
00
10
00
00
10
10
00
00
01
00
10
00
11
11
10
11
00
00
11
11
01
11
10
01
01
11
01
11
11
10
10
00
00
01
11
10
10
01
11
00
10
00
10
10
01
11
00
10
10
10
11
00
00
01
01
10
01
01
10
00
00
00
00
10
10
00
00
10
11
00
00
00
00
00
01
11
10
10
10
10
10
11
00
00
00
00
01
00
00
00
10
10
11
11
00
10
01
10
11
00
11
10
01
00
00
00
10
01
10
10
01
00
01
11
10
01
11
10
01
01
10
11
01
00
11
00
00
10
00
00
10
11
00
10
10
00
01
10
00
00
10
00
01
11
11
01
00
10
00
10
11
01
01
11
10
10
01
10
10
00
10
10
00
10
00
01
10
10
10
00
10
01
10
11
11
01
01
00
00
10
10
00
00
10
10
01
00
00
11
00
00
10
00
00
00
00
11
00
00
10
00
00
10
00
00
11
10
11
11
10
10
10
11
00
01
11
10
10
01
10
10
11
00
10
11
10
00
10
10
10
01
10
10
00
00
01
11
00
10
11
01
01
10
00
01
01
00
10
10
00
11
10
01
00
10
10
01
10
10
10
00
10
00
10
11
01
11
01
10
00
10
10
11
00
00
10
01
10
00
01
10
00
10
00
00
11
00
00
00
11
00
01
00
10
10
01
11
00
01
10
00
10
11
00
10
10
11
10
01
00
00
01
01
00
11
10
00
01
10
01
00
00
10
11
00
10
11
00
00
10
10
11
10
10
01
11
01
01
00
10
10
10
00
01
11
01
11
00
00
00
00
11
00
00
11
10
00
00
10
11
10
00
11
10
00
11
00
00
10
10
01
00
10
10
00
10
01
10
00
10
00
00
01
00
10
11
01
00
00
00
11
11
00
00
00
10
10
00
10
00
00
00
11
00
10
11
11
01
10
10
01
01
00
10
01
00
11
10
11
10
10
10
01
00
11
00
10
00
10
11
00
11
10
10
00
11
11
00
00
10
11
01
10
10
01
01
10
00
01
01
01
01
10
11
00
00
00
01
10
10
00
01
10
00
11
11
00
01
00
11
00
00
10
00
10
10
01
11
10
11
11
10
00
00
00
10
10
00
11
10
00
00
01
10
00
10
10
11
11
00
00
10
11
11
00
10
11
00
01
11
00
00
00
00
11
11
01
11
10
00
01
00
00
10
10
01
00
00
10
10
00
11
00
01
00
10
10
10
10
10
10
00
00
01
00
01
11
11
11
01
10
00
01
00
00
10
10
11
01
11
00
11
00
10
00
10
00
10
11
00
01
00
10
10
00
11
00
10
10
10
10
00
10
10
00
00
00
10
10
00
00
00
00
10
10
00
00
00
10
11
01
11
01
10
00
10
10
01
01
10
10
10
10
01
01
00
01
01
11
10
00
00
00
00
11
11
00
00
00
11
10
01
10
00
01
10
10
11
11
11
11
10
10
11
00
01
01
10
00
00
01
00
10
00
10
10
11
00
01
00
00
10
00
00
10
01
00
00
11
11
01
01
11
01
00
01
10
01
01
10
11
01
00
10
01
11
10
10
10
01
00
10
01
01
10
10
10
10
10
10
01
01
01
10
11
10
01
00
11
11
01
10
01
11
10
00
01
01
00
00
10
11
01
00
00
10
10
00
10
10
01
00
11
10
11
10
00
01
10
11
00
10
11
10
00
10
10
01
01
00
00
10
10
11
00
10
01
01
10
10
10
10
10
01
00
01
10
11
11
00
10
10
01
00
10
11
00
11
10
10
00
00
01
10
10
11
10
00
11
10
00
10
10
00
00
10
11
11
10
10
00
11
11
01
01
00
01
10
01
00
10
10
00
10
10
00
01
00
11
10
10
00
10
00
00
00
10
00
00
10
01
10
00
00
01
11
00
11
10
01
11
10
10
01
00
10
00
00
00
01
00
11
10
00
10
11
10
10
00
11
10
00
01
01
00
10
10
01
10
01
10
10
00
00
10
10
10
00
01
01
00
10
11
01
01
01
10
10
11
10
10
10
01
00
10
10
10
10
11
10
01
00
00
00
00
00
10
00
01
00
11
11
10
10
10
10
10
01
00
11
10
00
10
10
11
01
00
01
01
10
10
11
00
00
11
10
00
01
11
10
10
11
11
10
00
01
00
00
10
10
01
10
11
10
10
00
00
01
10
10
10
01
01
10
01
01
00
00
10
01
10
10
00
00
10
01
01
10
10
10
10
10
10
00
11
10
01
10
10
01
00
10
00
01
10
00
00
11
11
00
00
01
10
10
01
10
00
00
11
10
00
01
00
11
10
10
10
11
10
00
01
10
10
00
00
00
00
11
10
11
00
10
11
11
01
10
00
01
01
00
00
01
00
00
00
11
11
10
11
00
11
10
01
11
10
00
00
00
00
10
10
00
10
00
00
10
11
10
10
00
10
00
10
10
10
01
10
01
10
11
00
10
10
11
11
00
00
10
01
10
10
00
10
10
01
11
11
01
01
10
10
00
01
11
10
00
01
11
00
11
11
10
10
00
00
00
11
10
10
01
00
11
00
10
01
10
01
00
00
11
10
10
00
00
10
00
00
10
11
01
00
01
00
10
00
00
11
10
00
00
11
11
11
00
00
10
10
11
10
10
01
10
00
11
10
00
00
10
00
10
00
10
10
01
11
11
10
11
00
01
10
10
00
10
10
00
01
10
00
00
01
00
00
00
10
00
00
00
00
10
00
00
01
11
10
01
00
10
01
00
11
10
10
10
01
10
10
00
00
11
01
00
00
10
01
00
00
11
10
00
10
10
00
00
10
10
01
00
10
00
00
00
10
11
01
11
10
00
01
01
00
01
10
11
00
10
01
00
10
10
00
01
01
10
10
10
00
01
01
10
01
00
10
10
10
01
00
11
11
00
10
01
11
10
10
00
10
10
00
00
01
10
01
00
11
10
10
11
00
10
10
10
00
11
10
11
10
00
00
11
10
11
11
00
10
01
00
10
10
01
00
10
00
10
00
00
10
11
10
01
11
11
00
00
10
11
11
10
00
00
10
00
10
10
00
00
00
10
11
00
10
00
10
01
10
00
11
00
01
00
10
00
00
11
11
01
00
11
00
10
01
00
10
10
10
00
10
01
01
11
11
11
01
10
00
00
10
01
00
11
11
11
10
00
00
00
01
10
01
00
10
11
01
11
10
00
10
10
00
01
10
10
01
10
10
01
00
10
10
01
00
11
11
10
10
10
00
01
10
10
00
00
10
11
00
11
10
11
00
00
10
00
01
10
10
00
10
00
00
00
10
00
10
10
01
10
00
10
01
11
10
01
11
11
00
11
00
11
10
10
10
00
10
00
11
11
10
00
11
11
11
10
11
00
10
10
01
10
10
00
01
00
01
01
11
00
00
11
00
00
10
11
00
00
10
10
00
01
10
01
00
10
00
00
00
10
00
11
00
00
01
00
10
10
00
00
10
01
10
10
01
11
10
00
01
10
10
10
00
00
01
10
01
01
00
01
10
11
10
00
00
10
11
01
11
00
00
10
00
10
11
01
00
10
00
00
11
10
10
11
00
00
01
00
00
10
00
10
01
00
10
10
10
00
11
10
10
00
10
10
11
10
00
00
10
10
10
10
10
00
10
00
00
00
00
00
10
11
11
10
00
00
00
00
11
10
01
10
00
01
10
00
10
10
00
10
10
10
00
11
10
00
00
10
01
10
01
01
10
10
00
10
00
11
10
10
01
11
10
11
10
00
00
11
01
10
11
01
10
10
11
11
01
11
10
01
10
10
01
00
00
10
10
01
10
10
11
10
00
10
11
10
01
00
00
10
00
11
00
01
10
11
10
11
00
00
11
00
00
10
00
00
01
10
11
11
11
00
01
01
10
01
01
00
11
10
00
01
00
10
10
00
10
10
11
00
10
10
10
00
10
01
01
11
11
00
11
10
01
00
10
11
00
01
10
01
11
11
00
01
00
11
00
00
10
10
00
00
11
10
10
00
00
00
00
10
10
10
11
10
11
00
10
11
00
00
00
00
10
00
10
00
01
10
11
00
11
00
00
00
01
11
11
00
00
10
10
10
10
00
00
10
01
11
01
00
00
00
00
11
01
10
10
00
00
10
00
10
00
11
10
01
10
01
11
10
00
11
00
01
01
11
10
11
00
00
00
00
00
10
11
10
10
00
00
01
10
00
01
10
11
10
10
00
10
10
11
01
00
10
01
01
00
11
00
10
00
00
10
00
00
00
11
10
11
10
00
01
11
11
01
01
11
10
01
10
00
00
00
10
01
01
10
11
00
00
00
11
10
10
00
00
00
00
00
11
11
10
00
00
01
01
00
00
10
10
10
10
00
00
00
10
11
10
10
00
00
10
00
10
10
01
10
01
00
00
01
00
00
10
10
00
10
11
00
00
11
10
00
11
11
10
01
10
00
10
00
10
11
00
00
01
00
00
11
10
00
00
11
10
10
10
00
10
00
11
11
10
00
10
00
10
10
10
10
00
00
11
11
10
10
00
10
11
10
01
01
00
11
10
01
10
00
01
01
10
11
00
00
10
01
00
11
10
01
01
11
11
10
11
00
00
11
10
00
01
00
11
11
00
00
11
11
10
10
00
11
00
01
01
11
10
01
10
00
00
10
10
00
00
10
00
10
00
11
01
00
01
10
00
00
11
10
10
10
00
01
01
00
00
10
10
01
00
11
00
00
11
10
10
01
01
00
11
10
10
00
11
11
01
10
11
00
00
00
10
00
00
01
10
01
00
10
11
00
10
10
10
10
01
00
01
10
10
10
10
01
10
10
00
00
01
11
00
00
01
01
10
10
10
10
01
00
10
11
00
01
00
01
10
00
01
10
00
00
11
10
01
00
10
00
00
10
11
10
01
00
00
10
01
01
11
10
00
01
10
01
00
11
11
01
00
10
00
01
11
10
01
00
10
10
01
11
01
01
10
00
01
10
10
01
00
11
10
00
00
01
00
10
10
01
10
10
10
00
00
10
00
10
00
11
00
10
10
10
01
10
01
00
10
10
00
00
01
00
10
10
00
10
00
00
00
01
10
11
10
11
11
01
00
10
10
00
10
00
00
10
10
01
00
01
10
10
00
10
10
10
01
01
10
10
01
00
10
00
00
11
11
00
01
10
10
11
11
00
00
11
10
00
11
11
01
01
00
00
00
00
10
10
10
00
10
11
11
11
11
00
10
11
00
10
00
01
11
00
01
00
10
10
00
10
00
01
10
00
10
11
10
10
10
01
10
10
11
00
00
00
01
10
00
00
10
10
10
11
00
11
00
01
10
01
01
01
11
00
00
10
00
00
10
10
00
01
11
10
11
00
10
11
00
00
01
01
10
10
01
00
00
10
10
10
00
11
01
00
01
00
00
10
11
11
00
00
11
10
11
10
10
00
00
00
10
10
00
00
00
00
10
01
00
00
00
10
01
10
10
01
00
11
10
00
00
10
11
00
10
01
01
11
10
00
10
00
00
00
11
10
00
00
11
10
10
01
01
01
01
10
00
00
11
10
11
00
11
00
10
00
00
10
10
00
00
00
01
10
10
00
01
00
01
10
10
00
00
11
00
01
10
10
00
01
10
00
10
11
00
10
11
00
00
11
10
11
00
00
00
10
00
00
10
00
11
10
10
10
00
10
01
11
01
00
10
00
01
11
01
10
10
00
00
01
10
11
10
10
11
10
00
10
00
00
00
10
11
01
01
10
01
01
00
00
11
11
11
11
00
01
10
00
00
10
10
10
01
00
01
10
01
10
00
00
11
10
10
00
01
10
00
00
10
00
10
10
00
00
10
10
00
10
11
11
00
10
00
00
00
10
11
11
00
01
11
10
00
10
11
00
01
10
00
00
11
11
00
01
10
10
00
10
11
00
00
11
01
11
01
11
11
00
01
10
00
10
01
10
10
01
00
10
00
01
11
00
00
10
00
10
00
10
10
00
11
00
00
00
10
00
01
11
10
01
00
11
01
10
00
10
01
10
11
00
00
10
00
00
11
10
00
00
00
10
10
00
00
00
11
10
01
10
10
10
10
11
00
00
10
11
11
00
00
00
10
00
10
00
00
01
10
10
10
10
11
10
10
10
01
00
10
10
01
01
11
10
11
00
00
01
00
11
00
00
00
01
11
10
11
00
01
11
00
11
11
01
00
00
10
10
00
00
10
11
11
01
01
01
01
01
11
00
10
10
00
00
10
10
11
00
01
01
00
01
11
00
00
00
10
01
10
10
10
10
00
00
10
00
00
00
10
00
11
00
11
10
01
00
10
00
11
00
00
00
11
10
10
10
00
10
11
01
00
00
00
01
00
10
10
10
10
10
11
00
00
01
10
01
00
11
00
11
10
11
10
01
00
00
01
10
11
10
11
01
00
10
00
00
11
01
00
10
11
00
10
01
10
10
10
01
00
00
10
00
00
11
10
00
01
10
11
00
00
10
10
10
00
01
10
10
00
10
00
00
11
10
10
00
11
00
00
10
10
00
11
00
11
00
10
00
00
00
00
10
10
11
10
01
11
01
00
00
00
11
10
00
00
10
10
10
00
00
00
11
10
01
01
11
11
01
00
10
01
00
11
00
01
10
11
11
00
00
10
00
01
00
11
10
10
10
10
10
00
10
00
00
10
10
10
00
01
10
00
00
10
01
10
00
00
01
00
00
10
11
10
01
00
11
10
10
10
01
00
11
00
00
10
00
00
10
10
01
01
10
10
10
11
11
11
00
11
00
10
00
00
10
10
00
00
10
11
10
01
10
10
01
10
00
01
00
10
00
00
10
10
10
11
00
00
00
11
00
10
11
10
00
01
01
11
00
00
10
11
10
00
10
10
10
00
11
11
01
01
10
10
00
00
11
01
00
10
10
10
00
00
11
10
01
00
10
00
10
00
10
10
01
00
01
01
01
00
10
10
00
00
11
10
01
00
10
01
10
10
01
01
10
00
10
11
01
10
01
01
11
00
01
00
10
10
00
11
10
10
01
00
01
01
11
00
10
00
10
01
11
10
01
10
10
11
00
10
00
10
10
01
00
10
11
00
10
00
01
11
11
10
00
01
11
10
00
10
10
10
10
00
00
10
00
00
00
10
00
00
10
00
00
00
00
11
00
11
10
11
10
10
11
00
11
11
10
10
11
01
00
11
11
00
10
10
01
01
01
10
10
10
00
11
10
00
00
11
01
01
00
10
00
10
00
10
00
00
11
00
11
00
00
01
10
01
01
00
11
00
00
11
10
00
00
11
11
10
00
10
01
00
10
11
00
01
11
10
01
10
01
00
00
10
10
00
00
11
11
00
10
10
00
00
10
10
00
10
11
00
10
10
10
10
00
10
01
00
11
10
01
10
00
10
00
00
10
11
00
11
10
10
00
10
00
00
00
11
00
00
01
00
01
00
01
10
00
00
10
10
10
11
01
10
11
00
00
10
10
00
11
00
00
00
10
11
00
11
01
11
00
11
10
01
00
10
00
00
00
10
11
01
10
10
10
11
00
00
10
10
00
00
11
00
10
10
01
10
00
11
00
11
10
01
10
01
01
00
00
10
11
11
00
01
10
01
00
10
10
01
00
00
00
00
10
00
10
10
11
00
10
10
10
10
00
11
01
10
01
10
11
00
10
00
01
11
11
11
01
00
01
11
01
10
11
00
00
00
00
01
10
11
00
11
10
00
11
10
00
10
11
01
11
00
00
01
11
00
10
10
00
00
00
10
10
00
00
10
01
11
11
10
10
00
10
10
00
10
01
00
01
11
11
00
10
00
11
01
00
11
11
10
00
00
10
01
10
11
10
10
01
00
10
00
00
00
10
11
00
00
00
11
10
00
00
10
01
11
11
11
10
11
10
00
00
00
00
00
10
10
10
01
00
00
10
01
01
10
00
00
00
11
00
00
11
11
11
01
00
01
10
10
10
00
11
10
00
11
01
00
00
00
11
00
11
01
10
00
01
11
00
00
00
11
10
00
10
00
10
10
01
00
11
01
01
01
01
11
11
10
00
00
10
10
00
01
10
00
10
11
10
00
01
11
01
10
10
00
10
10
00
11
01
01
11
10
00
00
00
10
10
01
00
01
10
00
11
10
10
10
01
00
00
10
10
10
01
10
00
10
11
10
01
10
00
00
01
11
10
00
11
00
01
10
11
00
11
00
10
01
00
10
00
00
10
10
00
00
00
10
10
00
10
10
10
11
10
01
11
00
10
00
01
11
01
10
11
01
00
00
00
10
11
00
00
11
01
00
00
10
00
10
10
10
00
00
10
10
10
00
11
11
10
00
10
10
00
10
00
00
00
11
00
00
10
10
10
00
10
00
01
10
00
01
10
10
01
01
11
10
00
00
01
01
11
10
01
01
10
01
00
10
10
10
11
00
00
00
10
10
00
10
01
00
10
10
10
11
01
10
00
00
00
00
10
10
01
01
01
10
11
00
11
11
11
10
00
11
10
00
00
10
10
11
00
11
11
01
00
10
10
00
00
01
11
00
11
10
01
10
00
00
00
10
10
00
10
10
00
00
10
10
10
10
11
10
11
10
10
01
11
11
00
11
10
10
10
10
00
00
11
01
00
10
00
11
01
10
01
01
00
00
00
01
10
11
00
10
10
00
00
11
10
01
10
11
00
10
00
00
10
10
00
11
00
00
00
11
00
11
10
00
10
10
10
11
00
11
00
10
01
11
00
01
11
10
10
00
01
01
00
10
10
00
00
10
01
00
10
10
11
01
01
10
10
11
01
00
01
01
10
10
10
10
00
00
10
01
00
10
10
11
10
00
11
00
00
00
10
10
00
10
11
10
00
00
01
01
10
01
00
00
01
10
11
01
00
11
10
11
00
01
10
00
10
11
00
11
10
00
00
10
11
01
01
10
10
11
10
00
01
10
01
00
11
01
01
11
01
11
10
00
00
10
10
00
01
00
00
00
11
10
00
00
00
10
00
11
10
11
10
10
01
10
10
00
00
11
01
01
10
11
10
00
10
00
00
10
00
01
11
10
01
10
01
10
01
10
10
11
10
10
00
00
01
00
11
00
00
10
00
01
10
11
00
01
01
01
10
11
10
11
10
00
00
10
00
10
10
01
01
11
01
10
11
00
00
10
10
01
01
10
01
00
11
10
10
00
00
00
11
10
11
00
01
00
00
00
10
10
10
10
01
00
10
01
10
01
00
11
00
11
00
11
10
11
00
01
00
10
11
00
00
11
11
10
00
10
10
10
11
10
00
00
00
00
10
10
00
10
00
01
10
10
00
11
00
10
00
00
00
10
10
10
01
00
10
11
10
10
00
00
00
10
00
11
00
01
00
00
00
00
10
10
10
00
00
10
00
10
00
11
00
10
00
01
00
10
01
10
01
00
00
00
00
00
11
01
01
10
11
10
10
10
10
11
00
11
11
10
01
00
00
10
10
10
00
00
10
00
10
00
01
10
01
00
10
11
10
00
00
00
11
10
01
01
11
00
00
00
11
10
00
00
11
11
11
10
00
11
01
10
00
11
10
00
00
00
10
10
10
00
00
01
10
11
11
00
10
00
00
10
11
00
00
00
00
10
10
01
01
01
00
00
00
01
01
00
10
10
10
10
10
11
11
00
10
00
00
11
10
00
00
11
10
11
11
00
01
00
10
11
10
11
10
10
01
00
11
00
11
01
01
10
00
00
00
10
10
00
00
10
00
00
10
00
11
00
00
11
10
10
01
00
10
00
01
11
10
01
00
00
00
00
00
10
10
00
00
10
10
10
01
10
01
00
11
10
00
10
10
01
00
11
00
10
10
01
10
10
00
01
00
01
00
00
11
01
00
10
11
01
11
01
00
11
01
01
10
00
00
11
01
01
00
10
10
00
10
10
10
00
10
00
01
10
00
10
10
10
10
00
10
10
11
10
01
00
10
00
10
11
10
00
01
01
00
01
10
11
00
01
00
10
00
00
00
00
10
10
10
01
11
11
01
10
00
00
11
10
00
00
00
00
10
01
10
01
01
10
01
11
00
11
10
00
10
00
00
10
01
00
01
11
00
00
01
00
11
11
10
00
00
11
01
00
11
00
11
10
00
00
10
10
01
00
11
10
01
00
10
00
00
01
10
11
01
00
10
10
10
01
01
11
01
00
11
00
11
00
00
01
10
00
10
10
10
00
00
10
10
00
10
01
00
00
01
10
01
01
00
00
00
10
10
01
00
10
00
10
10
11
00
00
01
10
00
10
10
10
10
10
10
01
00
10
10
10
10
01
00
00
10
11
00
01
00
10
10
00
11
01
10
10
00
00
00
10
00
00
10
10
10
10
01
11
10
01
01
11
10
01
00
01
01
11
00
01
10
10
00
00
10
10
00
00
10
00
10
01
10
11
00
11
11
00
11
00
11
10
00
01
00
10
11
00
01
10
10
11
01
10
01
10
01
00
11
10
00
11
10
01
11
00
00
00
10
10
11
00
00
11
10
01
10
00
00
01
00
00
00
10
00
11
11
00
00
10
10
00
01
10
10
11
00
00
00
11
01
01
00
00
00
00
11
10
01
10
00
00
00
00
10
11
10
00
10
10
00
10
01
00
10
10
11
10
00
00
11
10
00
10
11
10
00
11
01
11
10
10
01
10
01
10
11
10
00
00
10
00
00
10
10
00
10
00
10
11
01
10
01
10
10
00
00
00
10
10
00
01
10
01
10
01
01
10
11
01
01
10
10
00
00
10
11
11
11
10
11
00
00
01
00
01
10
10
00
10
10
00
00
11
11
01
11
01
10
00
00
10
01
01
11
11
11
10
01
00
00
00
10
10
11
10
00
11
10
00
01
10
01
10
10
00
10
00
01
00
00
10
00
00
00
00
11
00
01
10
10
10
11
11
00
10
10
00
00
11
01
01
11
10
10
10
00
11
11
01
00
10
00
10
01
01
10
11
01
01
10
01
11
10
00
00
10
00
10
11
10
11
10
00
01
00
10
00
11
10
00
00
10
10
00
11
00
01
11
10
10
11
00
01
11
00
11
10
10
10
10
10
01
00
10
11
00
00
11
10
10
10
00
00
11
00
10
01
00
01
10
10
11
01
00
10
00
11
00
00
10
01
10
10
00
10
01
11
00
10
11
00
10
00
10
00
00
10
10
11
00
00
00
01
00
11
00
01
10
10
10
00
11
11
11
00
00
11
11
00
00
11
11
10
01
00
10
00
11
11
01
10
10
10
11
11
01
10
10
11
01
10
01
11
10
00
11
01
01
11
10
00
11
00
01
10
10
01
00
00
10
11
01
11
11
11
01
01
00
00
10
01
00
11
00
10
00
11
10
01
11
10
00
10
00
11
00
00
10
01
00
00
00
01
11
01
11
10
10
11
10
10
00
00
11
00
11
11
00
00
01
11
11
00
01
00
00
10
10
00
00
11
10
11
00
11
11
11
00
00
00
10
11
01
10
10
00
10
10
11
10
00
00
00
01
10
00
10
10
10
10
00
00
11
10
10
10
00
11
10
00
00
10
00
01
10
01
10
11
01
11
00
00
00
10
10
00
00
11
10
00
10
00
01
01
11
10
10
10
00
10
01
10
10
00
00
11
11
11
10
00
00
10
00
10
10
01
01
01
10
10
01
00
00
10
10
01
00
10
10
00
00
00
10
00
10
01
11
00
00
11
11
00
01
10
00
00
11
11
01
00
11
00
00
11
11
00
00
10
10
11
00
11
10
10
01
00
11
00
10
00
01
10
01
11
11
00
10
01
10
10
00
00
11
10
00
00
10
00
10
01
00
10
10
11
11
00
01
11
00
10
01
10
10
11
01
10
10
01
11
01
10
01
10
10
11
10
01
10
10
00
10
10
11
10
10
00
10
10
11
00
00
10
10
10
00
00
10
11
10
10
00
10
10
11
10
00
00
11
11
00
10
00
01
00
00
10
10
11
01
00
10
00
10
10
00
11
01
01
00
01
01
00
10
00
00
10
10
00
10
11
00
11
01
10
10
10
00
10
11
10
00
01
00
10
10
00
01
10
11
10
00
01
01
00
00
10
11
00
10
00
01
00
01
01
10
00
00
11
11
11
00
01
00
10
11
10
00
11
10
00
00
00
10
10
00
11
00
10
10
10
00
00
10
11
00
10
01
10
11
01
10
11
11
00
00
10
10
11
01
01
10
11
10
11
10
01
01
00
01
10
10
01
10
10
00
00
10
10
00
11
11
00
00
01
01
11
00
10
01
10
11
00
01
10
11
11
10
01
10
11
01
11
00
00
10
10
00
00
10
10
00
00
00
11
11
11
00
01
01
00
11
00
11
10
00
00
00
11
10
01
00
10
00
01
00
10
00
01
00
01
10
00
11
00
10
10
11
00
00
11
00
11
01
01
01
11
00
00
00
10
11
01
00
11
11
10
01
01
10
10
10
10
10
01
11
00
00
10
01
01
11
00
00
11
01
00
10
10
00
11
01
00
11
01
10
00
01
11
01
10
10
00
10
00
00
10
10
01
01
11
10
10
00
11
10
01
10
10
01
10
10
10
00
00
10
10
01
00
11
01
00
10
11
00
10
10
00
11
10
10
10
00
00
00
11
10
01
01
10
00
10
11
10
01
00
00
00
10
10
01
10
10
11
00
10
10
10
01
01
00
00
10
01
10
01
11
11
10
00
10
00
10
10
00
00
10
10
01
00
10
00
00
00
10
11
00
10
10
10
10
11
10
00
10
00
01
01
00
10
00
11
01
11
00
01
11
00
00
01
01
10
10
00
10
11
01
00
00
10
01
00
11
10
01
01
10
01
10
00
11
11
01
01
01
10
11
01
00
10
10
10
00
00
11
11
10
11
00
01
11
01
00
00
10
10
00
00
11
11
00
01
00
01
10
11
01
00
00
10
00
10
00
01
00
11
10
01
00
01
00
10
01
00
10
00
11
10
00
10
01
11
11
10
00
01
10
11
01
01
11
11
00
10
00
00
10
10
11
00
00
10
10
10
10
00
00
00
00
01
00
10
01
00
00
01
10
00
11
11
11
10
10
10
10
10
00
10
11
00
01
00
10
00
01
00
10
11
01
00
00
00
10
00
00
10
10
10
01
10
00
10
11
00
00
10
10
00
10
00
00
10
10
00
10
11
11
10
11
00
01
10
00
10
00
01
10
10
01
00
00
00
11
10
00
11
10
10
01
10
00
00
10
11
10
10
11
10
11
10
00
01
00
11
00
10
10
00
10
11
10
01
00
11
10
00
00
01
00
10
10
00
11
11
00
01
10
00
00
10
00
10
00
01
01
11
10
00
10
11
01
01
00
10
11
00
10
10
11
00
00
00
01
00
11
10
10
10
10
00
00
01
10
00
00
00
10
10
10
00
01
11
00
10
00
11
10
00
01
00
01
00
11
10
10
10
00
10
11
10
00
00
10
00
10
00
10
10
01
00
01
00
10
10
01
01
00
01
10
10
10
10
10
10
00
00
11
01
00
01
00
01
10
00
10
11
10
00
00
10
00
10
00
00
00
10
00
10
00
10
00
01
00
00
10
00
10
10
10
00
00
00
11
11
11
00
00
00
00
11
10
10
00
11
00
10
11
10
10
00
10
00
11
00
00
01
11
00
00
11
10
10
10
01
10
00
10
11
11
11
01
00
01
11
10
00
01
10
11
10
00
00
10
10
11
10
00
00
01
10
00
00
11
00
00
11
10
10
01
10
00
00
10
00
01
10
10
10
10
10
10
00
11
00
00
10
11
00
00
00
10
00
00
10
01
00
10
00
00
10
10
11
01
00
10
00
11
10
01
00
00
01
11
10
00
11
10
10
00
01
00
11
11
00
10
10
01
10
01
11
01
00
00
10
10
11
00
10
10
10
10
11
00
00
11
00
10
00
00
11
10
01
00
00
10
10
01
11
10
00
01
01
01
11
01
01
00
00
10
00
00
10
10
11
01
10
10
00
10
01
00
00
11
10
00
00
00
10
11
01
00
00
00
01
10
10
00
11
00
10
10
01
01
11
01
10
10
10
00
00
10
11
00
01
10
00
10
10
01
11
00
00
10
10
11
10
00
00
10
11
10
01
00
10
00
10
11
10
10
01
10
11
11
00
01
11
01
10
10
01
10
11
00
01
10
00
10
10
00
10
01
01
11
10
00
10
10
11
01
00
10
11
10
00
11
10
00
00
10
10
11
00
01
10
10
00
11
10
00
11
00
11
10
01
10
01
00
00
10
11
10
10
10
01
11
01
00
10
10
00
00
01
10
10
00
11
01
01
11
10
11
00
00
01
00
00
11
10
10
01
01
11
01
10
10
10
00
11
01
01
10
01
10
10
10
01
11
00
11
10
10
10
11
01
00
11
11
01
10
00
01
10
01
00
11
10
10
00
00
11
10
01
10
11
01
10
00
00
10
10
11
01
00
10
01
00
00
11
10
00
10
01
11
00
11
10
00
01
10
00
00
11
10
11
00
00
10
11
01
00
11
10
10
00
00
10
11
00
00
00
10
00
01
10
01
10
10
11
11
10
10
00
00
10
00
00
00
11
10
00
00
00
01
10
10
10
11
00
11
01
11
11
10
01
01
10
11
11
00
10
00
10
00
11
10
01
10
00
11
10
10
01
00
10
01
10
00
01
10
10
10
00
01
01
01
10
00
10
00
00
01
00
10
10
00
01
00
10
00
01
10
10
00
10
11
11
00
10
10
00
00
10
10
10
10
00
10
01
10
11
10
00
10
00
01
11
00
10
00
11
10
10
00
11
01
10
00
00
00
01
01
10
10
11
01
11
10
10
00
00
01
00
00
10
10
01
00
00
10
01
00
01
10
10
00
00
00
10
10
01
00
00
00
10
01
01
11
10
10
00
01
00
01
10
10
01
10
00
01
10
10
10
01
11
11
10
10
00
11
10
00
10
00
00
10
10
01
00
11
01
00
11
00
01
10
00
10
10
01
01
00
10
00
01
00
00
11
11
10
10
00
01
00
10
10
01
00
11
10
00
00
10
10
01
11
11
10
01
10
00
01
01
10
10
10
00
00
00
11
01
01
00
00
10
00
00
10
01
11
10
10
11
10
00
00
00
10
01
10
10
01
10
01
10
01
10
01
00
10
00
00
01
10
00
00
00
10
00
00
00
01
10
00
01
11
00
00
10
10
01
01
10
00
10
10
11
00
01
10
10
00
00
00
00
10
11
01
10
10
10
10
10
10
10
01
00
00
10
00
10
00
10
10
01
10
11
10
00
00
00
10
10
00
00
00
10
11
11
00
10
10
11
10
01
00
10
01
00
00
10
00
00
01
10
10
00
11
00
11
11
00
11
00
10
11
11
00
11
10
00
01
00
00
10
11
00
00
10
10
00
00
10
10
00
00
10
01
00
11
10
11
11
11
00
10
11
01
01
10
01
00
00
01
10
11
10
11
00
10
00
01
01
10
00
00
00
00
00
11
01
00
01
00
01
00
10
11
10
01
00
00
11
10
10
10
01
00
10
11
10
00
10
10
00
00
10
10
00
11
10
10
10
00
01
01
01
10
01
01
11
00
11
00
00
10
11
00
10
00
00
00
11
10
01
00
00
10
01
10
00
10
10
11
10
10
11
00
10
01
10
11
10
10
00
10
10
00
01
10
10
10
01
00
01
01
11
10
10
00
11
00
00
11
00
00
01
10
10
00
00
00
10
10
10
01
10
10
10
01
01
10
01
00
00
10
10
00
00
00
11
10
10
11
11
10
11
00
11
10
01
11
10
00
00
00
11
00
01
10
10
00
11
00
00
11
10
11
11
00
00
10
00
11
00
00
00
01
10
11
00
10
10
01
00
10
01
00
11
01
10
10
00
10
11
11
11
01
00
11
11
00
10
10
01
00
10
11
01
11
11
01
10
00
01
10
00
00
10
10
00
11
10
01
10
01
01
11
00
10
11
00
01
00
01
10
10
01
10
10
10
00
01
10
10
00
00
10
10
00
00
10
10
11
10
10
11
01
10
00
10
00
10
11
10
00
01
10
01
01
00
11
10
10
10
00
01
10
11
00
10
10
10
01
10
10
00
00
11
00
01
10
00
11
00
11
11
10
00
10
10
00
10
10
00
10
00
10
11
00
00
00
10
10
10
00
00
11
10
10
00
00
00
10
10
01
00
10
11
10
10
11
00
10
10
00
01
11
00
00
11
10
10
00
00
00
10
01
01
01
00
01
00
00
10
10
01
01
10
10
10
01
10
01
11
00
10
11
10
01
00
10
11
01
10
00
10
00
00
10
10
00
10
01
00
10
11
11
10
10
11
10
01
10
11
00
00
10
10
10
01
11
01
01
01
01
11
10
10
10
10
10
11
00
00
10
10
11
01
10
10
10
11
01
10
01
00
10
01
00
10
01
00
10
00
00
10
00
01
11
01
10
00
00
00
11
00
00
10
00
10
00
10
10
00
01
10
01
10
10
00
11
01
01
10
11
11
01
01
11
00
10
10
00
00
10
10
10
10
00
11
10
01
00
00
10
10
10
00
10
10
00
00
01
10
10
10
10
11
00
10
10
10
10
10
00
00
11
00
01
11
10
10
11
00
10
00
00
00
00
10
01
10
01
10
10
00
10
00
10
00
01
10
10
10
10
00
01
10
00
00
00
10
10
10
00
01
11
11
00
00
11
00
00
10
10
00
11
01
10
10
10
00
00
00
10
00
11
00
11
11
00
10
01
01
01
10
10
11
11
11
00
00
11
00
11
01
00
10
00
00
01
10
11
01
11
10
01
10
10
00
00
10
11
10
00
10
10
10
00
00
00
01
01
10
00
10
01
00
00
11
11
00
00
10
11
00
10
00
00
11
01
01
01
10
11
01
11
11
10
00
00
00
01
10
11
00
01
00
10
10
00
10
11
00
00
00
11
11
10
00
00
01
11
01
00
11
10
11
00
00
10
11
01
00
00
10
01
11
00
00
01
10
10
01
10
11
11
01
10
10
01
01
00
10
10
01
10
00
00
10
01
00
01
11
10
00
00
01
10
10
01
10
11
10
01
00
01
01
10
11
00
00
10
10
01
11
10
00
00
11
01
10
11
11
11
01
00
10
10
01
11
11
00
00
00
00
10
00
10
10
00
00
10
00
00
10
10
10
01
00
10
00
00
00
10
01
11
10
10
10
11
01
01
10
00
01
10
10
01
00
10
11
01
00
10
10
00
10
10
00
00
10
10
00
10
10
00
10
01
00
00
00
11
00
00
11
00
00
10
11
00
11
00
00
10
00
10
10
10
01
01
10
11
01
00
10
00
11
00
00
11
11
10
10
00
00
01
00
01
10
10
01
10
10
00
10
10
10
00
00
01
00
11
00
00
10
00
10
11
00
00
11
11
01
00
10
11
11
01
00
00
11
00
01
11
00
00
11
10
10
00
01
11
00
00
10
10
00
00
00
10
00
01
10
01
01
00
11
10
01
01
11
10
00
10
10
01
10
10
01
00
11
11
00
01
11
10
00
10
10
00
10
01
11
11
11
10
00
00
11
10
01
00
10
10
11
01
00
01
10
00
11
10
01
00
01
10
00
00
10
11
10
10
00
00
01
00
01
11
10
01
11
10
11
00
01
10
00
00
10
00
11
10
00
10
10
00
11
11
00
01
11
10
00
00
10
10
00
00
10
10
00
01
10
01
10
11
10
11
00
10
01
00
00
10
01
00
10
00
00
10
10
00
10
01
00
00
01
01
00
10
01
11
10
00
01
01
10
10
10
10
01
01
11
00
00
10
11
01
00
11
00
00
10
00
10
11
10
00
00
11
10
00
11
10
10
00
10
00
00
01
11
00
00
10
10
10
00
11
00
10
00
11
11
11
00
10
11
10
01
00
10
01
00
10
00
01
00
00
10
01
10
11
10
00
10
00
00
10
01
10
10
10
00
10
00
01
00
10
10
00
10
00
10
00
11
10
01
11
00
01
10
00
11
00
00
00
00
10
10
01
11
00
11
00
11
00
00
11
00
10
10
00
01
01
10
00
10
00
10
10
11
01
00
10
10
10
00
10
11
01
01
00
10
11
00
01
00
10
10
00
11
11
00
00
00
10
10
00
00
10
01
00
00
01
11
00
00
01
01
00
10
11
00
01
10
11
00
10
11
00
10
10
01
01
11
01
11
01
00
01
10
11
00
00
10
00
00
10
10
01
00
10
10
00
10
01
00
10
00
00
10
10
11
00
00
00
10
11
00
10
00
01
10
10
10
10
10
01
10
11
00
10
01
00
10
00
10
11
11
00
10
10
00
11
10
00
01
10
10
11
01
11
10
10
00
00
00
10
11
01
00
01
10
01
01
00
10
00
10
11
00
10
10
10
01
11
01
10
10
00
00
10
00
00
11
10
00
00
10
00
00
10
10
11
10
10
11
10
11
10
00
01
10
00
00
11
10
10
10
00
00
10
10
01
00
11
11
00
01
00
11
11
00
01
11
00
01
10
00
10
10
10
00
00
10
00
00
01
00
00
10
11
00
01
10
11
10
10
10
00
00
00
10
10
00
00
00
00
11
00
10
10
10
00
11
00
10
00
01
10
10
01
01
00
11
11
10
10
00
00
01
10
10
10
10
00
01
11
00
11
00
01
11
11
11
11
10
00
01
10
00
00
10
10
00
10
00
00
01
00
00
10
00
10
10
00
10
00
10
00
10
10
11
10
11
01
10
00
01
01
10
11
00
00
00
00
11
10
01
11
10
00
01
00
01
00
10
11
10
10
00
10
00
10
11
10
11
10
00
00
00
10
11
10
01
10
10
01
10
11
01
10
10
00
10
00
10
10
00
10
10
00
10
01
00
10
10
01
10
10
10
01
10
11
10
10
00
00
11
01
00
10
10
10
00
00
10
00
00
10
11
00
00
11
10
00
00
10
10
10
10
01
01
11
01
00
00
00
01
11
10
00
01
00
10
10
00
10
00
00
10
01
01
10
10
01
10
11
10
01
00
01
01
01
11
11
10
00
01
10
10
01
00
11
11
10
00
00
10
11
11
00
11
00
01
10
01
10
10
00
01
00
10
00
01
11
11
11
01
01
01
10
00
11
10
00
00
10
10
10
10
01
00
00
11
00
01
10
11
10
00
00
11
01
00
01
00
01
10
00
01
10
01
00
10
11
01
01
10
11
00
01
10
10
00
01
00
11
00
00
01
10
00
10
11
00
10
00
00
10
10
10
01
01
10
11
00
01
10
10
00
01
10
10
00
10
10
10
01
10
00
10
00
11
10
00
00
10
11
10
11
10
10
01
00
11
10
00
00
10
01
00
00
10
10
11
00
10
10
01
01
00
10
00
00
11
01
00
10
00
11
10
00
10
10
10
10
10
10
01
10
10
00
10
01
01
11
01
10
00
10
01
10
11
00
01
01
11
10
00
01
01
10
00
01
10
11
10
10
00
00
01
11
10
10
00
10
00
01
01
00
10
00
10
10
00
10
10
00
00
01
00
00
10
11
10
10
11
00
11
01
00
00
10
10
11
10
00
00
00
11
01
11
11
10
00
01
11
10
11
00
00
11
10
10
10
10
00
00
10
10
11
01
10
01
01
01
11
10
10
00
10
10
00
00
10
10
10
11
10
01
00
10
00
11
01
01
01
10
11
10
10
01
01
10
11
00
00
01
10
10
10
11
10
10
00
00
10
10
00
11
00
00
00
00
10
00
11
00
01
10
01
11
10
10
11
00
10
10
00
10
10
11
00
00
10
11
10
00
10
10
01
00
10
10
10
00
00
10
00
00
10
00
00
10
10
11
00
11
11
11
01
00
10
10
01
00
10
11
00
00
00
11
00
01
10
10
10
00
00
00
10
00
00
11
11
10
00
01
10
10
00
11
10
00
11
11
10
00
10
00
10
00
00
10
00
01
10
10
00
10
10
00
10
00
01
11
00
01
10
01
10
01
00
00
11
11
01
00
01
10
10
10
11
00
00
11
11
10
01
00
10
01
01
11
10
00
00
00
11
11
00
00
10
00
00
00
11
11
00
11
10
10
11
00
10
10
11
00
00
10
11
00
10
11
00
11
00
01
00
00
11
01
11
10
11
00
11
10
00
01
11
10
10
01
11
00
10
10
01
00
00
00
10
00
10
10
00
00
01
01
00
01
10
11
10
01
11
10
11
01
10
11
00
00
00
10
10
10
00
01
10
00
00
00
10
10
00
10
10
00
01
11
10
10
10
00
10
11
01
01
11
01
00
11
00
00
11
10
01
01
10
10
00
01
00
10
10
10
01
01
10
11
10
10
11
11
01
00
10
01
10
00
10
10
00
00
10
10
11
01
10
00
10
00
01
00
00
01
00
10
10
10
00
00
00
01
11
11
10
11
11
10
00
00
11
10
00
00
10
10
10
00
10
11
10
01
01
00
01
01
10
11
01
00
10
00
01
10
11
00
10
00
00
11
01
10
10
01
10
11
00
00
00
11
00
01
11
10
10
01
00
11
01
11
01
00
10
01
10
10
00
00
10
11
00
10
00
10
00
10
10
01
00
11
00
00
00
10
00
01
10
11
10
10
01
00
10
00
11
10
11
10
00
01
10
10
01
00
00
10
00
10
00
00
11
10
11
11
11
00
01
00
11
00
01
00
00
11
11
11
10
01
00
00
00
00
01
11
11
00
10
01
00
10
11
11
00
01
10
00
01
10
00
10
10
10
00
10
10
00
00
10
01
00
01
01
10
00
00
10
01
11
00
00
11
10
00
00
00
10
00
00
00
10
11
01
10
11
11
10
00
00
01
00
00
10
10
10
00
11
00
00
00
01
00
10
00
10
01
10
11
01
10
01
01
10
10
10
11
10
01
00
00
01
10
10
00
11
10
00
11
00
10
00
01
00
11
01
10
01
00
11
00
10
00
01
10
11
10
11
10
00
10
10
11
11
10
01
00
00
00
00
00
11
10
01
00
00
10
00
10
11
11
10
11
00
10
11
00
10
10
00
10
01
10
01
10
01
10
11
10
00
10
10
10
00
01
10
01
01
11
00
10
10
00
00
01
00
10
00
01
00
11
10
00
00
01
10
10
00
00
00
10
11
11
01
00
10
00
11
00
10
11
01
10
00
00
00
10
10
00
10
01
00
10
00
01
11
10
10
10
01
11
00
00
11
00
00
10
01
00
11
00
10
10
00
00
01
10
01
10
11
00
10
01
00
00
10
00
10
10
10
11
00
01
11
01
10
10
11
01
00
10
10
00
10
10
01
00
00
10
00
00
10
00
10
00
00
00
01
10
01
00
10
11
00
01
00
11
11
10
10
00
00
11
00
00
00
11
01
10
10
01
00
00
00
00
10
01
00
11
11
00
00
00
00
00
10
00
01
00
01
11
10
00
00
11
10
00
10
10
10
11
11
00
11
10
10
10
10
10
00
10
10
00
10
10
11
11
00
01
11
10
00
11
10
01
00
11
10
00
10
11
00
10
00
01
11
10
11
11
10
11
10
01
11
00
00
10
00
01
10
10
00
01
10
00
11
10
11
01
11
11
11
10
00
10
10
00
00
00
11
00
11
11
11
10
00
10
10
01
01
00
11
10
00
01
10
00
11
10
00
00
10
11
01
01
00
10
10
00
10
11
00
00
10
10
01
00
11
10
11
10
01
00
00
00
00
00
10
00
10
10
10
01
10
01
00
00
11
10
01
01
10
10
11
00
11
11
00
00
01
10
11
01
11
01
00
00
10
01
00
10
11
11
11
10
00
00
10
00
00
00
11
01
11
00
11
10
01
00
00
10
10
00
10
00
11
01
10
00
11
00
01
00
11
11
00
10
00
01
00
01
10
10
11
10
00
10
11
00
10
00
01
10
11
00
00
11
10
10
10
00
00
10
11
10
11
00
00
01
11
10
00
00
00
01
00
10
00
00
11
11
11
10
01
11
01
10
00
10
10
11
00
01
10
00
11
01
10
01
11
00
10
00
01
10
10
10
00
10
01
01
00
00
10
10
10
10
10
01
10
11
01
11
00
00
10
10
10
11
11
11
00
00
00
11
10
10
01
11
00
01
00
01
00
00
10
11
11
10
10
01
10
00
10
11
11
10
10
01
00
00
00
00
11
01
01
10
11
10
11
00
00
11
10
11
00
00
01
11
10
01
01
10
00
00
10
01
11
01
01
00
10
10
10
10
00
00
11
10
00
11
00
11
10
00
10
10
00
11
10
11
01
00
11
00
01
00
00
00
11
10
00
10
10
10
00
00
01
00
01
00
10
00
11
10
01
10
00
10
11
11
01
01
00
10
10
11
01
00
00
10
01
00
00
10
11
11
00
11
00
00
11
01
11
01
10
10
00
01
00
10
10
01
11
11
11
00
01
00
00
10
10
00
00
10
00
01
00
00
11
00
10
11
00
11
11
01
11
10
10
00
01
10
11
00
11
10
00
00
11
00
01
00
10
00
00
01
11
10
11
10
01
10
11
01
00
00
10
10
01
00
11
10
01
00
00
00
10
10
00
01
00
00
01
00
10
10
10
10
00
10
10
11
10
10
00
00
10
00
10
10
10
00
10
01
10
00
01
00
10
11
10
01
01
11
10
11
00
11
10
11
01
00
00
11
00
01
11
10
00
10
01
00
10
10
00
10
11
10
01
00
00
00
00
10
11
00
00
00
00
00
00
00
11
00
01
10
10
11
10
10
00
01
01
10
01
00
11
00
10
10
00
00
11
01
01
00
00
01
01
10
10
00
00
10
00
00
10
10
01
00
10
10
11
00
10
10
01
00
00
00
01
10
11
11
00
00
11
00
00
00
10
00
00
00
01
11
10
10
01
01
01
00
10
11
01
00
10
01
00
00
00
10
10
10
01
11
01
00
11
00
00
00
10
10
00
00
10
10
10
10
10
11
00
00
00
10
11
10
10
01
11
10
11
10
10
01
01
10
11
10
00
01
10
10
01
00
10
10
10
11
10
00
11
11
01
00
10
00
10
10
00
00
00
01
10
10
00
11
01
00
00
10
01
00
11
10
00
00
01
00
10
00
11
10
10
10
00
00
00
01
11
00
00
01
11
10
00
10
00
00
10
11
00
00
10
10
11
10
01
10
10
01
00
01
01
00
00
00
11
00
10
10
11
10
11
00
00
10
01
00
00
10
10
10
01
00
01
00
11
11
00
11
01
00
11
00
01
01
00
10
00
01
10
00
00
10
11
00
11
00
10
11
10
00
01
11
10
11
00
00
10
11
11
10
11
01
01
10
01
00
10
00
01
10
10
01
10
10
10
00
01
00
10
10
01
01
10
10
10
10
00
00
00
00
00
00
00
10
10
01
01
00
00
10
00
11
10
01
01
01
10
10
00
10
00
00
11
10
11
00
10
00
10
00
10
10
00
10
10
00
00
00
01
01
01
01
10
10
00
10
10
01
10
11
10
00
10
01
00
11
00
10
01
00
01
11
00
11
11
00
00
10
10
00
11
11
01
01
10
10
00
10
10
01
00
00
00
11
00
10
00
00
00
10
10
01
11
01
10
10
11
00
00
11
00
01
00
10
01
00
10
00
00
11
00
00
10
10
00
10
01
10
10
00
00
00
10
00
10
00
01
11
11
11
11
10
11
10
00
10
10
11
00
10
11
00
00
11
00
01
10
01
00
10
01
10
10
00
10
11
11
00
10
00
01
11
00
10
01
00
10
00
11
00
00
10
10
01
11
00
10
10
11
01
01
11
01
00
01
10
10
11
01
01
11
11
00
01
10
10
00
00
00
11
10
00
10
11
10
10
01
11
10
00
01
01
10
10
10
11
11
11
00
01
00
10
00
01
10
10
10
00
00
10
10
10
00
10
10
01
10
01
00
00
01
10
10
01
00
10
10
00
00
11
11
11
00
10
00
00
11
10
10
00
01
11
01
00
00
10
11
00
11
10
00
00
01
01
11
10
00
11
10
00
10
00
11
10
00
01
10
10
10
10
00
00
10
11
10
11
00
10
10
00
00
00
01
10
10
11
11
00
11
11
10
10
00
01
10
10
10
00
00
11
00
11
11
00
01
00
00
11
10
00
01
10
10
01
00
10
10
01
11
00
00
00
01
11
10
11
10
10
10
11
10
00
10
10
01
10
00
00
00
11
00
10
00
00
10
10
11
10
01
00
10
00
00
00
00
10
10
01
11
01
10
00
00
10
10
10
11
01
11
10
10
10
11
10
01
00
10
10
01
10
10
10
01
10
10
01
00
10
01
11
11
00
00
01
11
01
01
10
10
10
10
00
00
10
10
00
01
10
01
00
10
01
00
10
11
00
01
00
11
11
00
00
00
11
11
10
00
01
10
11
10
01
00
01
10
10
00
00
10
10
10
10
00
00
01
01
00
01
10
10
00
11
01
01
00
11
10
10
11
10
10
10
01
01
10
10
01
00
10
10
10
00
01
00
10
00
10
00
10
10
01
00
01
00
00
11
00
11
00
11
01
10
11
01
10
10
01
00
10
10
00
00
10
01
00
10
00
00
00
11
00
10
00
00
11
10
10
00
10
00
00
11
00
10
00
11
01
00
01
01
00
01
10
01
10
10
00
01
10
10
10
01
01
10
10
11
01
10
10
10
10
00
00
00
00
01
10
11
00
10
11
10
00
01
00
10
00
10
11
01
00
10
11
00
00
10
00
00
10
10
01
00
00
10
00
10
10
00
01
11
00
11
01
00
01
00
01
11
00
11
11
10
11
01
01
00
01
10
10
11
01
00
10
01
00
11
00
10
10
00
10
10
10
00
11
00
11
10
00
00
00
00
00
00
10
10
11
01
01
11
00
10
10
00
10
01
00
10
11
00
10
01
11
01
00
01
00
11
10
00
11
10
10
00
10
00
00
10
01
10
00
01
01
11
10
00
10
10
01
10
10
01
00
10
11
11
00
10
10
00
00
10
10
10
01
00
10
10
00
10
10
00
00
00
10
10
00
00
00
11
10
01
10
00
10
01
00
10
10
00
10
01
00
11
00
00
00
00
00
01
10
10
10
10
00
10
00
00
00
11
11
01
10
10
00
10
00
00
11
11
10
10
11
00
10
10
10
01
00
10
11
00
10
10
10
00
00
11
10
00
00
00
11
00
00
10
10
01
01
11
11
10
00
10
10
11
01
01
01
10
11
10
00
00
11
10
00
11
10
00
00
00
00
00
10
11
00
00
01
10
01
00
11
00
00
10
10
10
10
00
00
10
11
10
00
00
01
10
01
10
10
00
01
11
11
10
00
10
10
00
10
01
10
00
01
10
00
10
00
00
01
00
11
11
01
01
10
00
10
10
10
00
00
11
10
01
00
01
01
10
00
00
10
00
10
00
10
10
00
00
01
00
11
00
00
10
00
01
10
00
10
01
00
00
00
01
10
11
11
10
10
10
01
00
01
10
11
01
01
01
10
11
00
01
10
00
00
00
10
10
00
01
10
11
00
10
10
10
00
10
01
00
10
10
00
10
00
10
01
10
11
00
10
00
00
01
01
01
10
11
10
00
11
11
10
00
00
10
00
00
01
00
01
00
00
01
10
01
00
10
11
00
00
00
00
10
10
11
10
01
01
11
00
10
01
00
11
11
11
10
00
00
00
01
00
10
10
00
00
00
11
10
01
00
00
11
01
00
10
01
01
00
10
00
00
11
11
01
10
11
10
00
10
00
00
10
00
10
00
00
00
00
10
11
10
11
10
10
10
00
10
01
10
10
01
10
10
00
00
00
10
10
10
00
10
01
00
10
10
00
01
10
01
00
10
11
11
11
00
00
00
00
11
01
10
00
11
10
01
00
01
11
10
00
00
10
10
01
01
11
10
00
01
10
00
00
10
10
00
01
00
01
01
01
10
10
10
00
11
10
00
10
00
10
10
00
00
00
10
00
01
11
10
01
10
00
10
10
01
01
00
10
10
00
00
11
11
01
00
00
00
10
01
01
01
10
01
00
01
00
00
00
11
11
00
01
11
10
11
00
00
10
11
00
11
01
00
01
11
10
10
10
11
00
01
10
01
00
00
11
10
11
01
10
10
10
01
00
10
10
10
01
01
11
10
01
10
00
01
10
00
00
01
11
10
01
10
11
10
10
01
11
11
00
00
01
10
00
11
00
00
10
10
01
11
00
00
10
11
11
01
01
11
00
00
10
00
10
10
00
01
11
11
10
01
01
10
00
11
11
00
01
10
10
00
01
01
01
00
10
11
10
00
01
10
00
00
00
11
00
00
10
10
10
11
00
01
00
10
00
00
10
00
00
10
01
10
10
10
10
01
11
11
10
10
10
11
00
00
11
00
00
01
10
00
00
10
00
01
00
10
10
00
00
01
10
11
11
10
01
11
10
01
00
10
00
00
10
10
10
00
01
00
11
00
00
10
10
00
00
01
10
10
01
00
10
00
10
01
10
00
11
10
10
01
00
11
00
11
00
01
00
10
10
10
00
00
10
11
01
00
01
10
00
11
10
11
00
10
11
10
00
10
10
01
10
00
01
11
10
11
00
00
10
10
11
10
00
00
00
11
01
10
10
10
00
01
10
11
10
01
00
01
00
01
10
10
10
00
01
00
10
00
01
11
10
01
00
00
00
00
10
10
01
01
10
10
10
10
00
00
00
10
11
10
11
10
00
00
10
00
11
10
10
00
10
10
01
00
01
00
00
10
11
10
00
00
11
10
11
00
00
10
11
10
00
01
10
10
10
10
00
00
10
01
00
10
00
00
00
00
11
01
10
01
11
00
01
00
10
10
10
11
00
10
01
00
11
10
10
01
00
11
10
00
00
10
10
01
10
11
11
10
10
10
10
01
10
10
00
10
10
00
10
10
01
11
01
00
11
10
10
01
01
10
10
00
00
10
11
01
01
00
01
01
00
10
11
10
01
01
10
10
11
00
00
00
10
11
10
10
01
00
11
01
10
10
10
10
10
00
00
00
10
10
00
10
11
00
00
11
11
10
00
10
11
00
10
10
01
10
11
01
00
01
00
10
10
10
00
10
01
00
10
10
00
01
10
10
00
01
00
01
10
10
00
11
00
00
10
10
10
00
10
11
01
00
10
00
10
00
10
10
01
10
00
11
00
10
10
01
01
00
11
11
00
10
00
01
00
10
10
00
10
11
00
10
11
11
11
00
00
00
01
00
00
11
10
01
10
00
01
10
10
00
10
10
11
00
10
00
11
10
00
10
01
00
10
00
10
10
11
11
01
00
11
00
10
00
01
11
00
11
10
01
00
00
10
10
00
00
00
00
00
11
00
10
10
00
01
11
11
10
10
10
11
10
10
11
00
00
00
11
11
00
00
00
10
10
10
10
00
00
01
01
11
10
00
01
10
10
10
00
01
11
00
01
00
00
11
00
11
01
00
11
00
01
00
00
10
10
10
00
01
00
10
00
00
01
01
10
11
00
11
11
00
10
10
10
00
10
10
01
10
10
10
00
00
11
10
11
00
00
01
10
01
01
10
11
00
10
11
00
00
10
01
01
10
11
00
00
10
00
00
10
11
00
10
10
11
11
10
01
00
10
10
10
01
11
11
01
11
00
11
10
01
01
10
10
01
00
00
00
11
10
11
01
10
00
00
10
00
01
10
10
00
00
00
10
11
10
10
01
00
00
10
10
00
01
00
00
10
00
00
00
00
11
11
00
10
00
11
10
10
00
00
00
01
01
10
10
01
01
00
11
10
00
10
11
00
11
00
00
11
10
10
00
01
10
00
00
00
11
10
11
10
00
10
10
00
10
00
00
10
10
10
10
00
00
10
01
10
00
11
10
11
00
10
10
10
00
10
00
00
00
11
10
01
11
01
10
10
01
01
00
01
00
11
01
01
10
11
11
00
00
00
10
11
00
00
11
10
10
01
00
00
10
00
00
00
00
11
10
01
10
10
01
00
00
10
01
00
11
10
01
01
00
10
10
11
11
00
01
10
00
01
10
00
00
01
10
10
01
11
00
00
11
00
00
01
00
00
01
11
10
00
10
00
00
00
10
10
11
11
10
10
00
10
11
00
10
00
00
00
00
11
00
10
10
10
10
10
01
00
10
11
10
10
10
11
01
11
11
01
10
10
00
01
00
11
00
00
11
11
00
10
00
01
01
00
00
10
01
10
10
00
11
10
01
00
10
01
10
00
10
11
00
10
00
10
00
00
00
10
00
01
10
10
00
10
10
00
10
00
00
10
11
01
11
10
00
00
10
10
00
00
10
11
01
01
10
10
11
01
01
10
10
11
00
00
10
01
00
01
00
10
00
10
10
00
10
00
01
11
11
01
00
00
10
10
00
01
10
11
00
00
00
10
10
00
00
11
01
10
11
00
10
11
01
00
10
10
01
01
11
10
10
10
10
11
00
00
00
00
01
01
01
00
01
00
11
01
00
10
10
10
00
00
11
01
01
11
11
11
00
11
00
00
01
11
10
10
10
01
01
00
01
10
01
01
10
01
10
11
00
11
11
00
00
10
10
00
00
10
01
01
11
11
10
00
00
10
00
10
10
00
01
10
01
00
01
11
10
00
01
11
10
01
00
00
01
10
11
10
01
00
00
11
00
00
10
10
00
11
10
00
00
10
11
00
10
00
00
10
00
00
00
00
11
11
01
00
11
00
00
10
00
01
10
11
00
10
10
00
10
00
01
10
11
00
00
00
10
10
10
10
00
00
01
01
10
10
10
00
00
01
10
10
01
01
10
01
00
01
01
00
10
11
01
11
00
00
00
10
11
00
01
11
10
00
01
11
00
10
11
10
11
10
00
00
11
11
10
00
00
11
11
11
00
00
00
00
11
00
10
11
10
00
10
11
01
00
10
10
10
00
10
11
01
00
10
01
10
10
10
00
01
10
00
10
01
01
11
01
00
11
11
11
00
00
10
00
00
11
00
00
11
00
00
11
10
00
01
11
10
00
10
10
00
00
00
10
10
10
00
11
00
00
10
00
10
10
10
01
10
10
11
11
11
01
00
10
11
00
10
00
00
10
00
10
00
11
00
01
00
00
00
10
10
11
00
00
00
00
00
00
11
10
01
10
00
01
00
00
10
01
00
11
11
10
00
10
11
01
01
11
01
11
00
10
11
10
10
00
00
00
00
10
00
10
11
10
11
00
00
00
00
10
10
00
01
10
11
10
10
01
10
01
00
00
10
00
11
10
10
00
10
00
11
01
00
10
00
10
00
00
11
01
10
00
00
10
00
00
00
11
10
11
11
00
10
10
10
11
00
00
01
01
10
11
01
00
00
11
10
10
00
10
01
01
00
10
11
00
10
10
11
00
00
11
00
10
00
10
10
10
10
01
10
00
00
10
11
10
10
11
11
01
01
10
10
11
00
00
00
11
11
00
00
00
10
10
10
10
00
01
01
11
10
10
10
01
00
10
11
00
00
00
11
11
01
11
10
00
00
10
01
00
10
10
00
10
01
11
00
00
11
01
10
10
11
00
00
10
10
10
10
01
00
11
01
00
10
10
01
01
00
11
00
00
00
00
11
11
00
00
10
00
01
10
10
00
01
01
10
01
10
11
10
01
01
11
00
00
00
10
00
10
00
11
10
10
11
00
10
10
10
00
10
10
01
10
10
11
00
11
11
00
00
00
10
10
10
01
00
11
00
11
00
10
00
00
01
01
01
10
10
00
00
01
10
00
10
11
01
10
00
00
01
10
11
10
01
01
10
10
00
10
10
11
11
00
01
00
00
11
10
11
00
01
10
11
01
00
00
11
10
00
00
10
00
00
10
00
00
11
10
00
11
00
00
11
10
11
10
10
00
10
10
01
11
01
10
11
00
11
11
00
01
01
10
11
11
01
00
00
11
00
00
10
11
10
00
00
00
01
11
01
00
11
00
00
10
00
00
10
00
00
11
00
00
00
01
00
00
10
11
00
10
10
11
01
10
00
00
00
10
11
00
10
00
10
10
00
01
01
11
10
10
00
00
00
01
11
11
00
01
00
11
11
00
01
10
10
01
00
10
01
00
10
11
01
11
00
00
10
00
00
10
01
00
10
10
10
10
00
00
00
10
00
01
01
10
10
11
01
00
01
01
10
10
00
01
11
00
00
10
01
00
01
10
01
00
10
11
00
00
10
10
00
00
10
10
00
00
00
00
00
00
00
00
00
10
10
10
10
11
01
10
10
01
00
00
10
00
10
10
00
00
10
11
10
01
01
00
10
10
00
00
10
11
11
01
00
10
11
00
00
00
00
11
10
10
01
00
11
11
00
10
11
11
00
00
11
00
01
10
11
10
00
01
00
00
10
00
00
01
11
10
10
00
00
00
10
10
00
00
01
00
01
00
00
11
00
11
00
00
10
00
00
11
11
00
10
00
00
00
10
10
10
00
00
01
00
11
10
10
00
01
00
10
10
00
00
10
01
00
10
00
10
01
00
10
11
00
00
10
01
00
10
00
00
11
10
10
00
11
00
11
00
11
01
00
11
11
00
01
01
10
00
10
00
00
11
11
00
10
00
10
01
00
11
00
10
10
00
00
00
11
11
11
00
00
01
10
10
00
11
10
11
10
01
11
10
01
11
10
01
11
10
10
10
00
10
10
00
11
11
10
01
00
01
00
10
00
11
11
00
10
10
01
10
10
00
00
00
10
10
00
10
10
00
10
10
01
00
10
10
10
11
00
00
10
10
11
00
01
00
10
10
10
00
00
00
10
00
11
00
00
01
10
00
10
10
00
01
00
10
10
10
11
10
10
00
00
11
10
01
01
01
10
11
11
10
10
11
10
10
11
00
11
00
10
11
01
10
11
01
00
01
10
10
00
00
11
10
00
00
00
00
01
11
11
00
01
11
10
00
00
00
00
11
10
10
10
00
10
00
01
00
10
11
00
01
01
00
01
10
11
00
10
10
01
10
10
01
01
01
11
01
01
00
01
10
00
00
10
11
11
10
01
11
01
10
00
10
10
01
00
00
01
10
00
10
01
10
10
01
01
10
10
10
10
00
10
10
00
00
11
10
10
10
00
00
00
01
01
10
01
00
00
00
01
10
11
00
10
00
11
10
00
00
11
10
00
10
10
00
00
00
00
01
00
11
00
10
10
10
10
10
00
00
10
10
00
11
10
01
00
10
10
10
00
00
01
11
00
00
01
00
00
11
11
00
01
10
11
00
00
10
00
10
00
11
10
00
10
11
10
01
10
10
00
10
11
00
00
11
10
11
11
11
00
00
00
11
00
00
10
01
01
01
11
00
00
00
01
11
00
11
10
00
01
00
00
10
10
00
11
01
11
11
01
11
00
10
11
00
00
10
10
01
01
10
00
01
01
00
00
01
10
01
01
11
10
10
10
00
10
10
00
00
11
11
10
10
00
01
00
10
10
00
10
00
01
10
01
00
10
00
00
00
11
00
01
10
00
10
10
00
01
00
10
10
00
00
11
00
00
10
11
10
00
11
10
01
10
10
01
10
00
00
00
11
00
01
10
01
00
10
11
10
11
01
10
10
00
11
10
00
00
10
01
01
11
00
11
11
01
10
10
00
00
01
11
10
00
00
11
10
00
10
11
01
00
00
00
11
00
00
11
10
10
10
00
00
00
10
11
10
00
00
11
11
10
10
00
10
10
00
01
00
11
10
10
00
00
00
10
00
00
11
10
10
00
10
10
00
10
01
10
11
00
00
00
10
00
01
10
11
00
10
10
00
01
11
00
11
00
00
01
10
10
11
00
00
01
10
01
01
10
11
10
00
10
00
01
01
10
11
10
01
10
11
10
00
10
10
01
01
01
10
10
11
10
10
11
00
01
10
00
00
10
10
00
10
11
00
10
00
10
01
01
10
10
00
00
10
10
00
01
10
00
00
11
00
11
00
01
10
11
11
10
00
10
00
00
10
10
01
00
10
11
11
00
01
10
00
00
11
11
00
00
10
00
10
11
00
00
00
10
01
10
00
10
10
00
10
11
00
10
11
10
10
00
00
01
00
00
01
11
10
00
00
00
01
01
01
11
00
11
00
01
01
10
11
01
00
00
00
00
10
10
00
10
10
00
00
11
00
00
11
00
10
11
00
10
00
11
10
11
00
00
00
00
01
00
11
00
01
01
10
10
10
10
00
01
10
10
01
00
10
11
10
00
01
00
00
10
10
01
00
10
00
10
00
00
00
01
01
11
00
11
10
11
11
00
11
11
10
00
00
00
10
11
00
11
01
10
10
00
10
00
11
10
10
01
00
01
10
10
01
10
00
00
00
00
10
10
10
10
10
00
10
01
10
00
01
11
01
00
10
10
00
00
01
01
10
11
00
10
01
00
11
00
00
11
11
11
10
11
01
10
01
01
00
11
10
01
10
10
01
11
00
00
10
01
10
11
00
10
11
10
10
10
01
01
11
10
00
11
00
10
11
11
00
10
00
00
10
11
01
11
10
01
00
01
10
00
11
00
00
10
01
01
00
11
00
10
10
11
10
10
10
00
10
00
00
00
10
01
10
00
00
11
10
11
10
11
11
10
10
10
11
11
11
00
10
00
00
00
00
00
10
01
01
11
01
10
11
11
10
00
10
00
00
11
11
10
10
11
10
01
01
11
00
10
11
10
01
10
00
01
01
00
10
11
01
01
11
11
10
00
00
11
10
00
11
01
11
11
00
10
01
10
01
00
11
10
01
11
10
01
00
01
10
00
00
10
00
01
11
11
10
01
11
01
00
01
00
10
01
00
00
10
00
00
01
11
01
10
01
10
10
10
00
01
10
11
11
00
00
10
01
00
11
11
10
10
11
00
00
10
00
11
01
10
10
00
10
01
00
01
10
10
00
11
00
11
10
00
11
10
00
10
11
00
00
00
10
01
10
11
11
10
00
01
11
11
00
00
00
00
00
10
10
01
10
10
00
10
11
10
00
00
00
10
01
10
10
00
01
00
01
11
00
00
11
00
10
00
00
10
00
11
00
11
10
10
10
00
00
00
00
10
10
00
10
10
00
10
10
01
10
00
10
00
11
01
11
00
11
10
10
00
11
10
00
10
11
00
00
10
11
00
11
00
11
11
00
00
10
00
00
11
10
01
00
10
00
11
10
00
00
01
01
11
10
11
11
00
11
11
00
00
11
10
00
00
10
10
01
01
11
00
10
00
10
11
00
00
10
01
00
10
00
11
00
00
01
00
10
10
11
11
10
01
00
10
00
00
00
10
10
10
00
01
00
10
10
01
01
00
10
01
11
11
00
10
10
10
10
01
00
01
10
00
11
10
10
00
11
00
10
11
10
10
00
10
11
01
01
00
00
10
00
00
10
10
00
10
10
00
10
01
01
11
11
00
01
00
01
01
01
00
11
10
00
11
10
10
10
10
00
10
10
11
00
01
01
00
01
10
01
10
00
01
11
11
00
00
10
11
10
10
01
01
00
00
10
00
11
10
00
00
10
10
11
01
00
01
01
00
00
10
01
10
11
00
11
10
10
01
10
10
01
10
00
11
10
00
01
10
10
00
10
01
11
10
00
00
00
00
10
11
00
00
00
10
01
10
11
10
01
01
10
00
00
01
00
10
10
10
10
10
10
10
00
00
01
10
10
01
11
00
10
01
00
11
01
10
10
00
01
10
11
00
01
00
00
10
11
11
11
10
00
00
01
00
11
01
01
11
01
01
10
01
10
10
00
00
10
00
10
10
10
10
10
01
00
00
10
10
10
00
00
01
10
11
10
00
10
01
01
01
00
10
00
01
10
11
11
00
00
00
10
01
10
10
11
00
11
00
10
00
00
00
00
01
10
10
00
00
01
10
10
10
11
01
10
00
10
10
10
10
01
00
00
11
11
10
11
00
00
11
10
01
00
10
11
00
00
10
00
00
01
10
10
00
00
00
01
00
11
10
00
10
01
01
00
01
10
10
10
00
01
01
00
01
10
11
00
00
10
10
00
01
01
11
00
10
10
11
00
10
01
00
10
11
11
10
01
01
11
10
00
01
00
11
10
01
00
00
10
11
00
11
11
00
00
01
10
10
10
01
11
11
11
00
00
00
01
00
10
11
10
11
00
00
01
10
00
10
01
10
00
00
01
00
01
01
00
00
00
10
10
00
00
10
00
01
10
10
10
11
01
10
00
10
11
00
00
01
00
00
11
10
11
10
01
10
10
01
00
10
11
01
00
10
10
01
01
10
01
10
00
00
10
10
00
00
11
11
10
01
00
00
00
01
10
11
10
00
10
10
00
00
00
00
10
11
11
00
00
00
11
11
00
11
11
10
10
01
10
10
11
10
00
01
00
01
10
00
11
00
10
10
00
01
10
01
11
01
01
01
00
10
10
01
00
10
10
11
10
10
10
11
10
00
11
00
01
10
00
01
11
11
10
10
00
11
01
10
10
10
00
01
11
00
11
01
00
00
00
00
10
10
00
11
10
10
00
10
10
00
00
00
10
10
00
00
00
01
00
10
10
10
11
11
00
01
11
10
10
10
01
01
10
10
00
11
10
00
11
10
10
10
00
00
10
00
00
10
10
01
11
01
00
01
10
00
00
10
10
00
00
10
00
01
01
00
10
00
10
00
10
10
01
00
01
10
11
10
10
00
00
10
00
00
10
10
01
10
11
01
11
00
00
11
10
00
00
11
10
00
10
01
00
01
01
10
10
00
01
00
00
01
11
10
01
00
10
00
10
11
00
10
10
00
00
00
01
00
10
00
00
11
00
10
00
10
11
10
10
00
11
01
10
10
00
01
10
10
10
00
11
11
01
01
00
10
10
01
10
11
01
00
10
10
10
10
11
00
01
00
10
11
01
10
00
00
10
01
10
10
01
10
00
00
10
01
00
00
10
00
01
10
10
00
11
11
10
10
00
10
01
10
10
10
10
11
00
00
01
11
10
11
00
00
00
11
10
10
10
01
00
10
10
10
10
10
10
00
01
01
01
00
00
10
10
10
10
01
00
11
11
00
01
11
11
11
01
00
10
00
00
00
01
10
11
01
10
10
00
11
01
10
00
11
10
01
00
01
11
10
00
00
10
10
01
11
11
01
00
10
10
10
00
00
10
00
00
10
00
00
10
01
11
10
11
10
10
00
10
01
01
00
10
01
00
10
10
00
00
10
11
11
01
01
00
10
10
11
10
00
00
00
01
10
00
11
00
00
00
11
10
10
00
11
11
10
10
00
00
01
10
00
10
00
00
00
00
11
10
11
01
10
00
10
10
01
11
10
01
00
10
01
10
10
11
00
00
00
01
00
11
00
10
10
00
11
11
11
00
10
01
01
00
11
10
00
01
00
00
01
10
11
11
01
10
01
00
10
11
01
00
11
11
01
11
11
01
11
00
00
10
01
00
11
10
00
01
10
10
01
10
11
11
01
00
10
10
00
11
00
00
11
11
00
10
00
01
10
11
10
10
01
10
00
00
10
10
01
00
00
01
10
00
00
00
10
01
10
10
11
10
00
10
00
10
10
00
00
00
10
01
10
00
00
10
00
00
10
11
11
01
11
10
00
11
00
11
10
01
00
10
01
00
11
11
00
01
00
11
11
10
01
00
11
10
00
00
10
11
00
10
11
00
01
00
00
11
00
01
00
10
10
00
11
00
00
00
10
10
11
11
10
00
10
00
01
10
00
00
10
10
10
00
00
10
10
01
00
10
11
00
00
00
11
11
10
01
00
00
01
00
11
10
01
00
00
10
11
01
00
10
11
01
10
00
11
01
01
01
00
10
10
10
00
10
10
00
00
10
10
10
10
01
00
10
10
01
10
01
01
11
10
00
00
00
00
10
00
00
10
00
10
10
10
10
00
00
00
10
10
11
10
01
00
10
01
10
01
10
10
11
10
10
10
11
11
10
00
11
10
01
10
10
01
00
01
10
10
00
11
10
01
00
10
00
00
10
11
11
10
01
10
10
00
00
10
11
00
10
00
10
00
01
11
00
00
10
01
00
00
11
10
00
10
00
00
10
00
00
10
10
00
00
01
01
00
10
11
10
00
11
10
11
10
10
10
10
01
11
10
01
11
10
00
01
11
00
10
01
10
11
10
11
01
00
00
11
10
00
11
11
00
11
10
00
11
11
01
00
11
00
11
00
00
10
10
00
00
10
10
11
01
10
10
00
00
01
00
10
10
00
01
11
11
10
00
10
00
00
11
01
01
10
00
10
00
10
00
11
11
10
00
11
10
01
00
10
00
01
01
10
11
00
10
01
00
10
10
00
10
00
00
01
00
01
00
01
00
00
10
11
10
10
00
00
00
10
11
00
01
10
11
00
10
00
10
10
00
00
10
10
00
10
11
01
10
00
11
11
01
00
00
00
01
10
01
00
10
00
01
10
11
11
11
11
10
10
10
00
01
11
10
11
10
00
10
00
00
00
10
01
10
00
01
01
00
10
10
11
00
00
00
11
11
00
00
01
11
01
00
10
10
01
10
00
00
10
10
00
11
10
00
10
11
01
00
01
00
10
10
01
00
10
10
01
11
10
10
11
10
00
00
10
10
01
10
00
11
10
10
00
00
10
11
00
10
00
00
01
00
00
10
00
00
11
10
00
00
10
00
10
10
00
01
00
11
10
01
10
01
00
10
11
00
00
11
10
00
00
10
11
10
11
10
00
11
00
11
11
11
00
00
00
01
00
10
10
00
00
00
10
11
11
00
00
11
11
01
10
11
10
01
00
00
00
00
10
10
11
00
00
11
00
01
01
10
10
00
01
11
00
10
10
10
01
10
10
01
01
00
10
11
01
10
10
11
11
11
00
01
00
10
10
00
01
00
10
01
11
10
00
11
10
10
00
00
00
00
00
11
00
01
01
10
01
11
10
01
10
01
10
00
00
10
10
00
01
10
10
00
10
11
01
10
10
01
00
10
10
10
11
11
00
00
00
01
01
00
11
00
10
01
01
10
00
00
10
10
00
01
00
11
10
00
10
00
10
00
11
11
00
11
00
00
00
10
11
01
01
10
10
01
10
11
01
00
11
10
00
11
11
00
00
01
10
10
11
00
10
10
10
00
00
01
10
10
11
11
10
01
10
01
00
10
10
10
00
00
11
10
11
00
00
01
10
11
00
11
00
00
11
10
10
01
10
10
10
00
10
00
10
11
00
11
11
00
11
01
00
01
10
11
10
00
01
10
10
11
11
01
10
11
10
10
11
00
01
11
10
01
11
00
00
10
10
00
00
10
00
10
10
00
11
01
01
00
11
00
00
10
00
00
11
10
01
01
10
11
11
11
10
10
00
00
10
00
11
00
10
10
00
10
00
00
01
10
11
10
01
00
11
10
11
00
10
00
01
00
11
00
00
00
10
11
01
00
10
01
00
11
00
10
01
10
00
01
00
10
10
11
00
00
11
00
10
01
10
11
11
10
01
01
10
00
00
10
00
10
11
10
01
11
01
01
10
00
10
00
00
10
10
00
00
01
00
00
01
10
11
00
00
10
10
10
10
01
10
00
00
00
00
11
00
01
11
10
10
01
00
11
10
00
10
10
10
01
00
10
11
10
10
10
00
11
00
11
10
10
10
10
01
00
10
10
00
11
00
01
11
00
00
00
01
11
00
00
10
11
10
01
00
10
11
11
10
00
00
10
01
11
10
01
10
00
11
00
11
00
10
10
00
11
10
10
00
00
00
10
00
00
00
00
10
11
00
11
00
01
10
00
10
11
01
00
00
00
00
10
10
10
10
11
10
00
10
01
10
00
10
00
01
01
00
11
00
11
10
11
00
00
10
00
10
10
10
10
01
11
01
00
00
10
10
10
11
10
01
01
10
00
10
00
00
11
11
10
00
00
10
11
00
00
00
10
10
11
11
10
01
00
10
00
00
00
00
11
11
00
01
00
00
01
10
00
10
10
01
10
11
10
01
10
10
00
01
11
10
10
01
00
10
00
00
11
10
00
10
01
10
00
00
10
10
11
11
11
01
01
01
10
00
00
00
11
10
00
00
11
11
11
10
00
00
00
00
00
10
10
00
11
01
01
10
10
00
01
11
11
11
10
11
00
10
10
01
01
10
11
00
10
11
01
00
10
10
01
01
11
11
11
10
11
10
00
00
11
10
01
00
10
01
01
00
10
00
00
10
01
00
11
10
10
10
01
10
00
10
11
10
11
00
11
10
01
01
10
10
00
00
00
00
10
10
00
00
10
11
10
11
10
00
01
00
10
11
00
01
10
01
01
00
10
00
10
10
01
01
11
00
10
00
10
10
00
10
10
01
01
01
00
10
00
01
00
10
10
00
10
00
11
00
00
00
11
10
00
00
00
00
10
00
10
10
00
00
00
11
00
10
00
10
00
01
00
10
10
10
00
00
11
10
00
01
01
00
11
10
01
00
11
10
00
11
10
00
01
11
11
01
00
00
10
00
10
00
10
10
00
00
01
01
10
11
11
00
00
00
10
11
01
00
10
00
01
10
11
00
10
11
01
01
11
11
00
00
01
10
10
01
00
11
10
01
11
11
10
10
10
00
00
11
11
01
11
01
10
01
10
00
00
00
00
11
10
11
00
10
11
11
01
00
10
11
10
00
11
01
01
00
10
11
00
00
00
10
11
01
01
00
10
10
01
00
00
10
10
01
00
10
10
10
11
10
01
00
01
10
10
00
01
00
10
00
00
10
00
10
10
00
10
00
00
10
11
00
10
10
10
00
00
01
10
00
11
00
00
10
10
00
01
00
00
01
10
00
00
00
10
00
00
11
01
00
00
01
11
00
01
00
01
10
10
00
10
00
00
11
10
10
01
00
10
11
01
11
01
01
00
10
10
11
00
10
10
01
10
11
00
11
00
10
11
01
01
10
10
00
10
00
10
01
00
10
00
00
10
00
00
00
01
10
00
01
00
10
00
10
01
10
10
00
01
10
10
10
11
11
11
00
11
00
00
00
01
00
10
00
00
10
01
01
11
10
10
10
00
10
11
01
00
00
10
00
00
10
00
11
11
01
00
11
10
10
00
11
00
00
00
10
00
10
10
00
10
01
10
10
01
00
01
00
10
10
11
01
01
11
10
01
11
00
10
00
00
10
00
00
10
10
00
11
11
01
10
11
00
01
10
00
00
10
11
01
01
11
11
11
01
01
01
10
11
10
10
01
00
01
10
10
10
11
00
00
10
10
01
00
10
01
10
11
01
01
11
00
11
10
01
00
00
11
11
00
01
00
10
00
00
01
01
10
00
10
01
01
00
10
11
00
10
00
10
10
00
11
00
11
10
10
01
00
00
01
11
11
00
00
10
10
01
01
00
11
01
01
11
10
00
10
10
00
10
11
01
11
00
00
11
01
00
10
10
00
00
00
11
00
00
01
10
11
00
01
10
00
10
11
10
10
10
00
00
00
00
00
10
10
00
01
10
10
00
01
10
00
00
01
10
10
10
00
10
11
10
10
10
00
01
01
10
10
00
10
11
00
00
10
11
11
11
00
11
01
00
00
00
10
10
01
00
01
10
10
10
00
01
00
00
10
00
10
10
10
01
00
11
00
11
10
01
00
10
00
10
10
10
11
00
00
01
00
00
01
10
11
00
00
01
00
00
10
10
01
00
11
11
11
11
10
11
00
10
00
01
11
11
11
10
00
10
01
00
10
10
10
10
10
10
10
11
11
01
01
01
01
11
11
10
01
00
01
11
11
00
11
10
00
00
10
01
11
10
01
01
00
00
00
10
11
00
10
01
01
00
11
10
10
01
11
11
00
11
10
10
10
11
00
01
00
11
10
11
00
10
00
00
00
10
10
00
10
11
10
10
00
10
01
11
10
00
01
00
10
11
01
00
10
00
00
01
10
10
10
11
10
11
00
00
10
10
10
01
10
00
10
10
00
11
10
00
00
00
00
00
11
10
01
11
10
10
00
01
11
00
01
00
00
10
00
10
00
11
10
01
00
10
11
11
10
00
00
10
10
10
10
00
00
00
11
00
10
10
00
10
01
10
01
01
00
11
00
11
00
00
10
11
01
01
10
10
10
10
10
10
01
00
10
00
11
10
00
11
10
10
01
01
00
10
10
10
00
10
10
00
10
10
00
11
10
10
01
01
10
10
01
00
11
11
00
10
11
01
10
11
00
01
11
01
10
11
10
00
00
10
11
00
01
11
00
11
10
10
01
00
00
11
00
10
10
01
01
11
10
00
10
11
11
11
11
01
01
10
10
11
01
00
10
10
10
11
00
00
00
00
00
01
11
10
10
10
11
11
11
01
00
01
00
00
10
10
10
00
00
10
01
00
00
00
11
10
00
11
00
00
11
01
10
10
00
00
01
01
00
10
10
00
00
10
10
10
00
00
10
01
01
11
10
00
00
11
10
00
11
10
00
01
00
11
01
01
10
00
00
10
10
00
01
10
10
01
10
00
00
10
00
00
11
11
01
00
10
00
10
00
00
10
10
00
01
00
10
00
00
11
11
01
10
00
11
01
11
11
00
01
11
01
10
10
00
10
01
10
01
01
10
10
00
00
10
10
00
10
01
00
00
10
10
10
10
01
00
10
11
01
00
10
10
00
00
11
11
00
01
00
00
11
01
10
01
00
00
00
00
10
00
01
10
10
00
00
01
11
11
10
10
01
00
10
10
10
01
00
10
00
00
10
10
10
10
10
00
11
01
01
00
00
10
11
01
00
10
10
00
00
00
10
00
11
11
01
01
10
10
00
00
10
00
01
10
11
01
01
10
01
10
10
10
01
00
11
01
10
10
00
01
11
00
00
11
10
10
11
11
10
10
00
00
10
10
10
00
01
00
11
00
00
01
00
10
00
00
11
10
11
10
00
00
00
00
11
01
00
11
01
10
00
00
10
11
00
01
01
11
10
11
01
01
11
11
00
10
10
00
00
00
11
10
00
00
11
10
10
10
01
00
10
01
00
11
00
01
10
01
10
00
00
10
10
10
00
10
00
01
10
00
10
00
10
00
00
11
01
10
11
11
01
00
10
00
10
11
00
11
00
00
00
00
10
10
00
11
10
10
11
11
00
01
10
00
10
10
00
01
01
10
01
10
10
00
00
00
11
00
10
00
11
10
11
01
00
10
11
00
10
01
00
00
00
10
11
10
11
11
10
01
10
10
00
11
01
00
10
10
00
10
10
00
00
11
10
00
10
10
10
00
10
10
01
01
00
10
10
11
10
00
00
00
00
11
00
00
11
01
00
11
10
10
01
11
00
01
10
10
00
00
11
00
01
01
00
01
10
11
00
00
00
00
10
11
00
00
00
01
01
11
00
00
11
10
00
11
00
00
00
00
10
10
10
01
10
10
00
00
00
00
01
11
01
11
10
11
00
00
00
01
10
10
10
10
11
10
00
00
01
00
00
01
01
10
10
10
10
00
00
01
10
10
00
01
00
11
00
01
00
11
00
11
10
00
01
00
10
00
00
10
11
00
00
01
11
10
10
11
01
11
10
00
01
10
11
00
11
11
10
01
01
00
01
00
10
00
10
11
00
01
10
00
10
00
00
10
11
01
00
01
10
00
10
10
00
01
00
10
10
10
11
01
10
01
01
10
10
11
00
01
10
10
10
00
01
00
00
10
10
00
11
01
00
00
10
10
00
11
10
11
00
01
11
10
00
11
10
01
10
10
00
01
10
01
10
10
11
00
10
10
10
00
00
01
10
11
00
10
11
11
00
11
10
00
00
10
11
01
00
10
11
00
10
11
10
00
01
10
01
00
11
10
00
11
00
00
10
00
00
11
01
10
00
01
00
10
00
00
11
11
10
10
01
00
00
01
01
10
10
01
11
10
10
10
10
11
01
00
01
10
01
00
11
00
00
00
10
11
11
00
10
01
10
01
11
00
10
01
01
00
00
10
00
00
10
01
11
00
10
11
11
11
10
00
00
01
10
00
10
10
10
00
11
10
11
00
00
11
10
01
01
01
00
01
10
10
10
10
10
00
01
11
01
01
10
00
00
00
00
00
10
10
00
10
00
00
11
11
01
00
01
00
11
10
00
00
10
10
01
11
10
10
11
00
10
00
00
10
10
10
10
00
10
10
11
00
00
10
00
01
11
10
11
11
01
11
10
10
00
00
00
00
11
11
00
01
10
10
00
11
00
00
10
11
10
00
01
10
00
10
01
00
10
00
01
11
10
00
11
10
11
00
00
10
10
00
11
01
00
11
00
10
10
00
00
10
10
00
10
00
00
01
00
11
10
00
01
01
00
01
00
10
10
00
10
00
01
10
10
00
10
01
10
10
01
10
00
10
01
01
10
11
11
11
00
01
10
00
11
01
01
10
01
01
10
00
00
00
11
11
00
01
11
01
00
11
10
11
00
01
00
00
11
11
01
00
00
11
10
01
00
10
11
00
01
00
01
00
10
10
00
10
10
11
01
00
00
11
10
10
10
11
10
01
10
00
10
01
00
11
10
00
01
10
11
00
00
10
00
00
00
00
10
00
10
10
11
10
01
10
10
01
10
11
00
10
10
10
00
00
10
00
01
00
01
10
10
11
01
10
10
10
10
11
11
01
10
01
00
00
00
10
00
00
10
11
00
11
00
10
00
00
10
10
00
01
01
11
10
11
10
10
00
00
01
10
10
01
10
01
10
01
00
01
00
10
00
01
01
10
00
01
10
00
10
11
00
10
10
00
00
00
10
00
00
11
10
00
00
00
00
01
00
00
00
10
01
11
11
11
00
11
11
00
01
01
01
11
10
10
00
10
01
01
10
01
10
11
11
01
01
11
10
10
10
00
00
10
10
00
10
10
10
00
00
10
10
00
00
01
10
11
00
10
10
10
00
00
10
11
01
10
00
00
10
10
00
11
11
10
01
00
00
10
10
00
00
00
11
00
01
11
11
00
01
10
11
00
01
10
10
10
00
00
11
01
10
11
00
00
10
10
00
00
10
11
10
00
00
10
10
01
00
01
11
10
00
00
00
10
11
01
10
11
01
00
01
00
01
00
00
10
11
00
00
11
00
01
01
00
10
00
10
10
10
11
00
00
00
01
10
10
10
10
10
01
01
11
01
01
10
00
00
10
01
00
00
10
10
01
10
00
10
00
10
00
00
10
11
00
00
10
10
00
01
00
10
10
00
00
00
11
00
10
10
00
00
11
00
00
00
10
10
00
11
11
00
01
00
01
11
00
01
10
00
10
00
00
10
11
11
10
11
01
10
00
00
10
11
00
00
10
00
11
00
00
01
00
11
01
11
01
10
10
11
10
01
11
00
11
11
00
10
01
00
10
10
01
00
10
01
00
10
10
00
10
10
01
00
10
11
00
11
00
01
01
10
11
01
00
10
11
00
11
10
01
00
00
00
00
00
10
01
01
10
11
00
00
10
10
00
11
10
00
00
10
10
10
00
10
10
00
11
01
01
10
00
00
00
00
01
10
10
11
10
11
10
01
00
10
11
00
10
01
11
10
00
00
10
10
00
10
00
11
01
00
00
00
00
01
00
10
00
10
10
10
01
10
11
00
10
01
00
10
10
10
00
01
10
00
01
11
10
00
11
10
11
00
11
10
00
00
10
11
00
00
11
01
10
01
10
11
00
10
01
01
00
11
10
01
00
01
10
10
00
00
11
00
10
10
01
00
11
11
00
10
00
10
00
10
10
00
11
01
10
11
10
00
10
10
11
00
11
10
00
00
01
10
11
01
00
10
00
00
01
00
11
10
00
00
00
10
10
01
10
10
01
00
00
10
10
00
10
00
10
00
11
00
10
00
10
01
11
10
10
00
01
10
00
10
00
10
00
11
10
11
01
01
00
10
10
01
00
00
01
10
10
10
10
00
00
00
11
00
10
01
00
01
01
11
11
10
01
00
10
01
11
10
00
01
10
11
00
00
10
00
00
00
00
11
10
00
10
10
10
10
00
10
10
10
11
10
10
00
00
10
10
00
00
10
11
10
00
00
01
11
00
10
10
11
01
00
10
01
01
11
01
01
10
11
01
10
11
00
00
10
11
01
01
11
11
00
10
00
11
11
01
10
00
11
00
11
01
11
10
01
01
11
00
00
10
10
10
00
00
10
00
10
10
01
00
10
11
00
11
00
11
01
00
01
00
10
10
11
11
01
01
10
10
00
01
01
00
10
11
10
10
11
00
10
11
00
00
10
11
01
11
00
10
10
00
00
00
10
11
01
10
10
00
10
10
00
00
00
11
11
11
10
01
10
00
10
00
01
10
00
10
00
01
00
11
00
00
00
01
10
11
10
11
00
11
10
11
10
00
11
10
10
00
10
11
11
10
10
10
00
00
00
00
00
00
10
10
10
00
10
11
01
00
11
10
10
01
10
11
01
10
10
10
11
00
00
10
11
00
10
10
00
11
00
00
10
11
10
00
00
01
00
01
11
00
10
01
00
00
00
00
01
00
00
10
00
01
10
01
10
11
10
00
11
10
11
00
00
10
01
10
11
00
00
00
01
00
11
10
00
00
10
10
00
01
11
10
01
11
10
10
00
10
00
10
10
00
10
10
10
11
10
00
11
01
10
00
00
00
00
01
10
11
00
01
00
10
00
00
00
00
11
10
11
10
01
10
11
01
00
00
10
10
01
00
11
00
01
10
11
00
10
01
10
11
00
11
10
00
01
10
01
10
11
00
00
10
01
01
10
11
00
11
10
10
01
00
10
10
00
00
10
10
00
00
10
01
00
00
01
10
10
10
10
10
00
00
10
01
01
10
10
01
00
10
01
00
10
11
00
11
10
10
00
01
11
00
10
10
11
10
00
00
10
01
00
01
10
01
11
10
00
10
01
01
01
00
10
00
00
00
10
10
01
10
00
11
00
10
00
01
10
01
01
01
00
10
00
00
11
11
10
00
10
10
00
10
01
11
11
00
10
01
00
00
10
11
01
00
11
10
11
00
00
01
00
10
10
00
01
11
01
11
01
00
11
10
00
00
00
10
10
01
01
00
10
10
11
10
00
10
00
10
00
10
00
10
01
10
10
00
00
11
00
01
10
11
10
11
00
00
00
11
01
00
00
00
01
10
00
00
10
00
00
01
00
10
10
10
00
00
10
00
00
01
11
10
00
00
10
10
00
00
10
11
01
01
10
10
11
00
00
01
00
11
11
00
00
11
01
00
10
00
01
01
11
00
10
10
00
00
01
11
00
00
00
01
11
00
11
00
00
10
00
11
10
10
01
10
11
00
00
01
10
00
10
01
10
10
10
00
01
10
01
11
01
10
00
10
01
00
00
10
10
01
01
11
10
11
00
10
10
01
11
10
10
11
11
00
11
11
01
11
11
00
00
11
01
10
10
00
11
00
00
11
00
10
10
10
01
10
10
00
10
01
10
10
00
00
10
10
11
01
10
11
00
10
00
00
10
11
01
00
00
00
10
11
11
01
10
10
11
10
00
00
11
00
00
11
00
00
10
11
10
10
01
10
00
00
10
10
10
00
10
10
00
00
11
10
01
10
11
00
10
00
00
00
10
10
00
10
00
00
10
10
10
01
10
00
10
10
01
11
10
00
00
11
10
10
00
10
01
00
00
11
00
00
11
11
10
01
00
00
10
10
10
10
00
00
01
11
10
00
01
10
10
10
00
00
10
10
00
10
00
01
10
10
00
00
10
00
11
11
01
01
10
00
10
00
00
10
10
00
00
00
11
11
11
10
01
11
11
10
10
01
00
01
10
11
00
00
00
00
10
10
01
10
11
11
00
00
10
10
00
10
01
10
10
00
00
10
00
10
11
00
01
11
11
10
11
11
00
00
10
10
10
00
01
10
11
00
00
11
01
10
00
10
10
11
00
01
10
10
00
01
00
11
10
00
10
00
10
00
00
10
01
11
10
01
00
10
11
00
10
01
01
11
10
00
00
00
00
10
10
11
00
01
00
01
10
00
11
10
10
01
10
11
00
01
00
00
10
10
11
10
10
00
10
00
10
01
00
01
10
10
00
01
00
00
00
11
11
01
00
00
00
10
11
01
00
00
10
10
00
01
10
10
00
11
01
10
11
00
01
11
10
00
11
10
10
10
00
10
00
00
11
00
01
00
10
10
00
10
11
00
00
10
10
11
11
11
01
10
11
10
00
10
00
01
11
01
00
10
10
10
10
00
01
11
00
00
10
00
01
10
11
01
00
00
10
11
10
01
01
10
11
00
00
11
10
00
01
01
10
10
00
00
10
11
00
10
10
01
10
00
00
10
11
01
10
01
00
00
00
10
10
00
00
10
01
10
11
10
00
10
00
00
10
10
01
10
10
01
00
00
11
01
01
11
10
00
00
10
00
00
10
11
01
00
10
00
10
10
00
00
00
10
11
10
00
10
10
10
00
00
10
00
00
01
00
00
01
00
11
10
10
01
10
00
01
01
10
01
10
10
01
00
00
00
11
11
11
00
00
10
10
11
10
01
01
01
10
10
10
10
11
00
10
10
10
00
00
00
00
00
11
00
01
00
10
00
10
00
00
00
10
00
10
00
00
10
00
00
10
11
10
11
00
10
11
00
10
10
10
01
00
10
10
10
01
10
00
00
11
11
01
00
10
00
11
10
00
00
10
11
01
11
11
00
00
01
01
10
00
01
10
11
00
01
10
11
00
01
00
10
00
00
10
11
10
11
00
00
00
11
10
10
10
01
10
10
00
00
10
11
00
10
01
10
01
01
01
00
10
10
10
00
00
10
01
10
11
01
00
11
10
01
00
00
10
11
00
00
11
10
10
10
10
01
00
00
11
10
01
00
10
10
10
00
00
10
10
10
00
10
00
00
00
10
11
10
01
00
00
11
10
11
00
00
11
10
10
10
10
01
10
10
00
10
10
01
10
10
10
00
10
00
01
11
10
00
01
00
01
00
11
10
01
10
01
10
00
01
00
10
10
00
10
11
10
00
00
10
00
00
00
10
10
10
01
01
10
11
11
00
01
10
11
00
01
01
00
11
00
10
10
00
10
01
01
11
01
00
11
10
01
00
00
10
10
00
01
10
10
01
01
10
01
10
10
10
10
00
00
00
00
00
10
00
01
01
00
00
01
10
00
00
00
10
11
00
01
01
11
10
10
10
11
01
10
10
01
11
00
11
01
00
10
10
00
00
00
11
10
00
00
11
11
01
00
10
01
00
11
11
00
00
00
01
10
10
10
10
10
10
00
01
10
11
10
01
00
11
00
00
00
10
00
01
10
00
11
10
01
00
10
00
01
11
00
01
11
10
00
10
11
00
10
11
10
01
00
01
00
10
11
00
00
00
11
10
00
11
00
00
11
10
00
10
11
00
01
00
00
10
01
01
10
10
01
00
01
10
11
10
01
00
00
10
00
10
11
10
00
00
10
00
00
01
11
11
00
10
10
10
10
00
10
10
10
10
01
00
00
00
10
10
00
10
00
00
00
00
10
11
00
10
00
00
00
11
01
01
11
11
10
01
11
00
11
11
01
00
11
10
00
00
01
10
11
10
01
11
10
00
00
10
01
11
00
00
00
10
10
10
00
10
10
00
00
01
01
11
10
11
11
10
10
01
10
11
01
00
10
11
10
01
00
11
10
00
01
10
11
00
01
00
10
11
11
00
01
01
11
10
00
10
11
10
00
00
00
10
10
10
10
10
01
01
11
00
10
00
10
00
00
01
10
10
10
11
10
00
00
10
10
00
10
00
11
00
10
01
10
00
00
00
01
01
00
00
10
11
01
00
10
11
01
10
10
01
11
10
01
00
01
10
00
11
10
00
00
00
11
00
00
00
01
00
11
00
01
00
10
00
11
11
00
11
11
10
00
00
10
10
10
00
00
01
10
11
00
10
11
00
00
10
00
01
11
01
10
10
10
10
00
01
11
10
10
11
10
11
10
00
00
01
11
00
10
11
00
11
11
10
00
00
10
11
01
00
10
00
00
11
10
00
10
01
11
11
10
10
00
10
01
10
01
00
01
11
01
00
10
00
11
01
10
00
01
10
11
10
00
10
11
00
01
11
10
11
00
10
00
00
10
00
00
10
00
11
10
01
01
11
01
10
11
10
01
00
10
10
10
00
00
10
10
01
01
00
00
10
00
11
00
00
10
10
00
00
10
01
01
10
10
10
00
11
00
00
10
00
01
10
10
00
10
00
10
10
01
10
10
10
10
01
11
11
00
00
00
01
00
10
10
10
01
00
01
00
01
00
00
10
10
00
00
00
10
10
00
10
10
10
11
10
10
00
11
11
00
10
10
00
11
10
10
11
01
01
10
00
10
11
10
01
00
11
10
10
10
10
01
01
01
10
11
00
01
10
00
10
10
11
00
10
10
00
00
01
01
00
10
11
10
11
00
10
11
10
01
10
11
01
00
11
10
10
01
01
01
01
10
10
01
00
10
11
01
00
10
00
00
11
10
01
10
10
00
10
00
10
01
00
01
11
10
00
11
11
10
01
00
11
00
00
10
00
10
10
11
00
11
11
10
11
11
00
00
00
01
00
00
11
11
01
10
01
01
00
11
00
01
10
11
00
00
00
11
11
00
00
10
01
11
00
01
10
10
00
00
10
01
11
11
00
01
10
11
00
01
00
11
00
00
10
10
11
00
10
10
10
01
01
00
10
00
00
10
00
11
11
10
01
00
10
11
00
11
10
01
01
01
01
00
00
11
10
00
01
00
10
00
11
10
00
00
10
00
00
00
10
00
01
10
00
00
00
00
11
00
01
01
01
00
10
00
10
11
00
10
10
10
00
00
01
10
00
00
11
10
01
11
00
01
10
00
10
11
01
01
10
00
11
00
00
00
10
10
00
01
11
11
10
11
00
00
01
01
10
11
00
00
10
11
11
00
11
10
10
10
10
01
00
10
10
01
00
00
10
10
01
11
10
01
10
01
11
01
10
11
00
01
00
10
10
00
00
10
10
01
11
10
00
00
10
10
01
00
01
00
10
00
10
00
01
11
10
00
01
11
11
10
00
01
11
00
00
10
10
10
11
00
11
10
00
00
10
10
11
00
10
10
10
00
01
01
10
11
00
10
00
00
10
11
01
01
00
00
00
10
10
10
10
00
01
11
00
10
00
11
01
01
11
00
00
10
10
00
01
11
10
11
10
01
11
10
00
00
00
10
00
00
11
00
11
00
10
10
01
11
00
10
10
01
10
11
10
01
11
11
10
10
11
01
01
10
10
00
10
00
00
01
00
10
11
00
00
10
11
00
00
00
10
00
10
00
01
10
00
00
11
00
00
00
10
10
10
10
01
11
11
10
10
01
00
00
01
00
11
10
01
10
00
00
11
10
01
00
10
10
10
01
10
10
00
10
10
10
01
00
00
00
10
00
00
00
10
00
01
01
11
00
11
10
10
01
11
10
00
10
10
00
11
01
10
11
00
01
00
00
00
10
11
00
00
11
11
01
10
10
10
00
00
11
10
00
10
10
00
11
00
10
00
01
01
00
10
10
00
00
00
11
10
01
00
11
10
10
00
10
00
00
00
00
10
01
10
10
10
10
00
00
00
10
10
01
00
00
11
10
10
10
10
00
00
00
10
00
00
10
00
00
10
11
01
10
01
00
01
00
00
10
10
00
01
10
11
00
10
10
01
10
10
10
11
10
11
10
00
00
00
10
00
00
11
10
00
01
01
10
10
10
01
10
00
01
10
11
00
10
10
11
00
00
11
01
00
00
01
10
10
01
01
11
00
11
10
01
10
00
00
11
00
00
00
10
11
01
00
01
00
11
10
01
10
11
10
01
00
11
11
01
00
10
00
11
11
00
11
00
11
00
00
10
11
01
11
10
00
11
01
01
00
10
11
00
00
10
00
00
00
00
10
10
01
00
00
00
11
00
11
01
10
00
10
00
10
10
00
00
00
10
10
11
10
10
01
10
10
00
01
00
10
10
00
10
10
01
10
10
01
10
01
10
11
10
10
11
01
10
00
11
11
00
00
00
10
00
11
10
00
00
01
00
11
01
01
01
10
10
10
10
10
10
00
00
10
10
01
00
10
00
00
11
00
10
11
00
10
10
00
00
00
11
10
10
00
01
00
01
00
01
01
00
01
11
10
01
00
11
11
11
00
00
01
11
10
00
01
10
01
01
01
11
10
00
11
01
00
11
11
10
10
00
00
01
11
11
10
11
00
10
10
00
00
10
00
11
10
01
00
00
00
11
00
10
10
10
00
00
11
00
01
10
10
10
00
10
10
00
00
10
10
01
10
01
00
01
01
00
10
10
10
10
00
00
00
00
10
10
10
11
10
00
11
01
11
00
11
10
00
00
11
11
01
11
00
10
10
00
11
11
00
01
10
00
10
00
10
10
00
00
10
10
10
10
01
11
00
10
01
01
11
00
00
00
00
00
01
10
11
01
00
00
00
10
01
01
11
00
10
00
10
10
00
01
01
00
11
11
00
10
11
00
11
10
00
00
11
10
11
00
01
10
10
10
00
00
10
10
00
01
10
00
10
00
00
10
10
11
01
11
01
11
10
00
11
10
00
00
10
10
01
10
11
00
01
00
10
01
10
00
00
00
10
10
00
00
00
10
10
10
00
10
01
00
10
10
00
00
10
00
00
00
00
10
11
10
01
00
10
01
10
11
00
01
10
11
00
11
00
00
10
11
00
11
10
00
00
10
11
00
11
11
10
01
11
00
00
10
10
01
10
11
10
01
10
10
00
00
00
00
00
10
10
00
00
10
00
11
10
01
10
10
10
10
10
11
01
00
00
00
11
10
00
10
00
00
01
10
10
11
01
10
10
00
00
01
01
11
00
10
00
00
10
10
11
00
10
10
00
01
11
00
10
10
01
10
10
01
10
00
10
00
10
00
01
00
00
00
00
10
10
11
10
00
00
00
01
01
10
01
00
10
10
10
11
01
10
10
00
11
00
10
00
01
10
01
00
00
00
10
01
10
01
00
11
10
11
00
01
10
10
00
00
01
10
00
00
11
10
11
10
10
10
01
00
10
10
01
01
01
00
10
11
01
10
10
11
00
00
10
10
00
01
00
10
10
00
00
01
10
10
11
00
10
11
00
00
10
00
00
10
01
10
11
00
10
11
10
00
00
00
10
01
10
01
01
11
01
00
01
11
10
00
10
10
11
00
11
10
01
00
01
10
00
10
10
11
00
00
01
10
00
11
00
10
10
00
11
00
10
10
10
01
00
00
00
11
01
10
00
00
10
10
01
01
10
00
01
10
00
00
10
10
00
11
00
10
00
10
01
01
00
01
01
00
00
00
11
11
01
01
10
10
11
10
10
00
01
01
10
00
00
10
00
10
00
10
10
11
00
11
01
00
10
10
10
01
01
10
00
00
00
00
10
10
01
00
00
11
11
10
10
10
00
11
10
00
11
00
11
10
11
00
11
11
00
10
01
10
10
01
00
01
11
10
11
10
00
00
10
11
01
01
10
00
00
10
10
00
10
10
00
00
01
11
11
00
01
10
00
00
11
10
00
00
10
10
10
01
01
01
10
10
10
10
10
00
00
10
10
01
00
10
00
11
10
11
10
00
00
11
10
11
11
00
10
00
10
10
01
00
10
00
01
00
00
10
11
00
00
11
00
00
10
11
00
10
00
01
10
10
11
00
00
11
10
01
10
10
10
10
00
00
00
00
01
00
10
10
00
11
10
00
10
10
10
11
00
11
01
10
11
00
01
00
10
10
00
01
11
10
01
00
10
11
00
10
10
00
10
10
00
00
10
10
00
00
10
10
01
00
11
11
10
00
11
10
11
00
00
10
00
10
10
01
00
10
01
11
00
11
10
01
00
10
10
10
00
00
00
10
01
00
00
00
00
00
00
10
11
00
11
10
00
10
00
11
11
01
00
11
11
10
01
01
00
11
01
01
00
10
00
10
00
01
10
10
10
11
00
01
10
00
11
10
00
10
10
11
11
10
00
01
11
01
01
00
11
10
01
11
11
00
01
10
00
11
10
01
00
10
10
00
00
10
01
01
01
10
10
10
10
10
10
01
01
00
10
10
00
10
01
00
10
10
00
10
00
11
10
01
00
10
10
10
00
00
01
01
10
10
10
00
10
00
01
00
11
10
01
10
00
11
01
00
01
10
10
00
11
01
00
10
10
00
00
11
00
10
11
00
10
01
00
01
11
01
00
10
10
00
01
11
10
01
10
10
00
11
00
11
00
00
11
00
01
00
00
01
10
01
00
01
00
11
10
00
11
01
10
10
01
10
10
01
11
00
00
11
10
00
00
10
00
01
01
11
10
11
11
00
10
10
10
01
00
01
10
10
01
00
10
00
10
10
01
00
10
10
01
01
10
01
10
00
10
11
01
01
10
10
00
10
11
00
00
00
10
01
10
10
10
11
01
00
00
10
01
10
00
00
10
00
00
00
01
11
00
10
10
10
01
00
10
00
00
00
01
10
10
10
01
00
11
01
00
00
11
00
00
10
10
11
00
00
00
11
11
01
10
10
01
11
00
00
10
10
10
10
00
11
01
00
10
10
11
00
10
00
10
10
01
01
00
00
00
11
00
00
10
10
11
00
11
11
00
01
00
11
00
00
01
00
00
10
10
00
00
01
01
00
11
11
10
00
00
00
01
10
11
11
00
11
00
10
00
10
10
01
00
00
00
10
00
01
00
11
10
00
11
10
11
00
10
10
11
00
01
11
11
00
00
10
01
00
10
10
00
00
10
01
00
00
10
01
11
01
00
10
00
11
10
01
00
11
00
00
01
10
11
11
00
01
00
00
10
00
00
10
11
00
00
10
01
10
10
00
10
01
00
01
10
10
10
00
00
10
00
00
00
00
00
00
10
10
01
00
01
00
01
00
00
00
10
10
10
10
00
10
10
10
10
00
10
00
11
10
10
00
01
10
00
10
10
00
11
10
01
10
00
01
10
11
00
00
10
10
00
10
01
00
11
10
11
10
10
10
01
10
00
01
10
00
00
00
11
10
11
11
01
11
10
11
01
10
00
00
10
11
00
11
00
01
10
00
11
00
11
10
10
00
10
11
00
00
10
00
11
10
01
10
00
10
10
10
10
10
00
00
10
11
10
11
00
00
10
00
01
11
01
00
01
11
01
10
10
01
10
00
00
10
10
01
00
00
11
11
11
11
01
00
11
10
00
10
11
01
01
11
00
01
11
01
11
10
00
00
00
10
11
01
00
01
00
10
10
11
11
00
10
10
00
10
10
00
11
00
10
00
00
11
10
01
00
10
10
01
10
11
00
00
01
10
10
01
00
10
10
10
01
00
00
00
00
11
00
00
10
10
00
10
10
00
10
11
00
11
00
00
10
11
11
10
00
01
10
10
11
11
00
00
10
10
00
10
00
00
11
11
00
01
10
10
10
10
10
01
10
11
10
00
00
11
11
00
00
11
01
01
11
10
00
01
11
10
10
01
00
01
01
11
11
00
00
01
10
00
01
10
11
00
01
10
00
11
11
00
01
00
10
01
00
11
00
01
10
00
10
10
01
00
00
11
01
10
00
11
10
00
00
00
01
10
11
00
01
10
11
10
10
10
00
00
10
01
00
10
10
00
00
10
10
00
00
01
11
10
11
10
00
00
01
10
01
11
10
10
00
00
10
10
00
10
11
10
01
00
10
00
01
00
11
00
00
10
00
10
10
00
01
11
10
11
00
00
00
00
00
00
10
11
11
11
10
00
00
10
11
10
00
01
01
10
10
00
10
00
00
00
00
10
11
10
11
00
00
01
10
01
10
11
01
10
00
01
10
11
01
00
10
01
01
00
10
11
01
11
11
00
01
10
01
10
00
10
11
00
00
00
10
01
00
01
10
10
01
00
11
10
10
00
10
00
00
10
11
10
00
10
10
11
01
01
10
10
10
10
00
00
10
11
00
00
10
00
10
00
11
00
11
10
01
00
10
10
01
00
11
10
10
00
10
10
00
10
00
00
10
00
00
10
11
10
00
00
10
10
01
10
00
10
10
11
10
01
11
00
01
00
10
10
01
01
11
00
00
10
10
01
00
00
00
11
10
00
01
10
10
10
10
10
00
00
11
10
11
10
00
10
10
01
00
00
10
10
00
00
10
11
10
00
01
00
11
10
01
01
11
00
00
00
10
10
11
10
01
11
00
01
10
10
01
00
10
01
00
01
11
00
00
11
00
00
00
10
00
01
00
10
11
00
10
11
00
01
01
01
10
01
00
10
11
01
00
10
11
00
10
00
00
10
00
00
00
00
10
10
10
10
10
00
11
11
11
10
01
10
11
01
10
01
00
00
10
11
00
00
10
10
00
10
11
00
11
10
00
10
10
00
00
10
10
10
01
00
00
00
11
11
10
00
00
10
10
00
10
11
00
10
11
00
00
10
10
10
10
01
00
00
11
10
10
10
01
00
01
10
10
11
11
00
01
10
10
10
00
00
00
10
10
00
10
10
10
10
10
00
00
10
10
00
10
00
10
00
11
00
11
00
00
00
11
00
10
00
10
11
00
11
10
00
01
00
00
11
00
01
10
10
11
01
11
11
11
00
01
00
00
01
00
10
10
00
01
11
00
00
10
10
00
00
10
10
00
00
10
10
10
00
10
11
11
01
00
00
01
00
01
00
11
10
11
10
11
00
01
11
00
01
10
00
10
00
10
10
11
00
01
11
00
10
00
10
00
00
10
10
11
11
10
00
00
10
10
00
10
11
00
00
01
11
10
10
10
10
00
00
10
11
10
00
00
01
11
10
00
01
11
00
00
00
11
00
01
00
11
11
00
10
01
11
11
10
00
01
11
11
10
11
01
01
10
10
11
00
11
00
00
11
00
00
10
10
10
10
00
10
10
00
00
10
10
00
11
10
00
01
10
10
00
00
10
01
10
10
01
11
00
01
11
00
10
10
00
11
00
00
00
10
11
10
10
01
01
00
00
00
10
00
00
10
10
00
00
10
11
11
00
00
10
10
10
10
01
00
01
10
10
00
00
10
00
00
00
00
11
10
11
10
01
00
10
00
00
00
10
10
00
10
10
01
10
10
10
11
00
00
10
10
00
00
11
10
10
10
10
00
00
01
10
11
00
10
11
00
10
10
11
00
00
00
00
01
01
00
00
10
10
01
10
10
01
00
00
00
00
10
00
10
11
01
00
10
00
11
11
00
11
01
10
10
10
10
11
01
01
10
11
01
11
01
00
10
00
00
10
10
00
10
11
00
00
11
01
01
01
00
10
10
00
00
00
10
10
10
00
11
10
10
10
00
10
10
00
00
00
10
00
10
00
10
01
10
10
01
10
00
11
00
10
10
10
10
01
01
01
00
10
10
00
01
10
00
00
11
00
00
00
10
10
10
01
00
10
11
10
01
00
10
01
00
01
11
11
11
10
10
10
01
00
01
10
10
00
00
10
10
00
01
11
01
10
01
11
10
10
11
00
01
10
11
01
11
10
01
00
10
10
00
00
10
11
00
00
00
00
00
11
00
01
10
01
11
01
11
01
10
00
00
10
00
00
00
11
00
00
00
11
10
11
11
01
00
01
00
11
11
00
10
11
00
00
01
10
10
00
00
10
10
00
00
01
01
10
11
00
10
00
00
10
10
10
01
01
10
11
00
10
10
00
10
11
00
01
00
10
00
00
00
11
11
00
10
11
10
11
00
10
10
00
00
10
11
01
00
10
00
10
10
00
00
00
10
00
10
00
10
11
10
11
10
00
01
11
10
01
00
10
00
01
10
10
01
00
01
10
10
00
10
01
00
00
10
10
00
11
00
01
00
01
11
01
00
01
00
10
11
10
11
01
00
00
01
11
00
00
11
01
01
10
00
10
00
00
00
00
10
11
11
10
10
01
00
10
10
00
01
10
00
00
11
00
11
10
00
00
01
11
10
01
10
01
00
00
10
11
00
01
10
10
11
00
00
10
11
10
10
00
10
00
00
01
10
11
00
01
00
10
00
11
00
01
00
01
01
00
01
10
11
01
00
01
11
10
00
11
10
01
00
11
10
01
00
00
11
10
00
11
01
01
10
10
11
10
11
00
00
10
10
00
10
00
00
10
10
10
10
11
10
00
11
10
01
11
10
00
00
10
00
10
00
10
10
00
01
10
10
00
01
11
11
11
01
00
11
00
10
00
00
10
11
10
01
10
10
00
00
01
01
01
10
00
10
10
10
00
00
10
10
00
10
10
10
01
00
10
10
10
01
00
10
00
00
01
00
11
00
10
00
00
10
10
10
00
10
01
10
10
10
10
01
11
11
00
10
10
11
01
01
01
10
00
11
00
10
10
00
00
00
01
10
10
11
00
00
01
00
11
00
10
01
00
11
10
11
01
10
00
10
11
10
11
00
00
11
01
00
10
00
00
10
11
00
10
10
11
10
10
11
01
00
10
10
01
00
00
00
10
10
01
00
01
00
11
10
01
01
01
00
10
10
10
11
10
00
00
01
11
10
10
00
00
00
01
00
10
10
00
10
10
00
00
11
10
01
10
10
01
11
00
00
10
10
00
00
00
10
11
00
00
00
10
11
00
11
11
10
00
00
00
00
00
10
01
10
01
00
11
00
10
01
00
10
10
00
00
10
10
10
01
11
00
10
01
10
11
00
00
00
10
10
10
01
11
00
01
10
00
00
01
11
00
10
10
00
00
10
11
10
10
00
01
10
10
10
00
00
10
11
00
11
00
10
11
01
10
00
00
10
10
00
00
11
11
01
01
10
00
01
00
00
10
00
11
00
01
00
11
00
10
01
00
10
10
11
00
10
10
01
11
10
10
00
10
10
00
11
10
00
10
11
00
01
10
00
00
10
11
11
01
00
10
00
00
00
10
10
00
00
10
00
10
01
01
00
11
00
01
01
01
10
10
11
00
00
10
11
00
00
11
00
00
10
10
01
10
10
00
10
00
00
01
11
00
01
10
01
01
10
01
01
00
10
10
10
10
01
00
10
00
00
01
00
00
01
10
10
01
00
10
00
01
10
00
00
10
00
00
11
01
00
01
01
10
10
01
01
11
11
10
11
00
00
00
00
11
10
10
10
00
00
10
01
11
00
00
00
11
11
10
11
00
11
10
10
11
10
00
00
11
11
00
00
01
00
00
00
10
10
00
00
00
10
11
00
10
00
00
10
00
01
11
01
10
11
11
00
00
00
10
00
01
11
10
01
00
11
01
01
01
10
10
00
10
10
01
00
01
10
11
00
10
10
01
10
11
01
00
00
11
10
00
00
11
00
00
10
00
10
10
11
00
00
00
11
10
00
10
00
10
11
10
00
10
00
10
11
10
01
00
11
10
00
10
01
00
00
00
11
11
10
10
10
10
01
10
00
00
00
01
10
00
01
01
10
10
11
10
10
10
01
01
10
01
10
10
01
10
00
10
00
00
10
10
00
11
10
10
10
00
00
00
00
01
01
10
11
10
10
11
10
10
10
10
01
00
00
00
10
00
00
01
00
10
10
00
10
00
11
00
00
11
00
10
00
00
11
10
01
10
00
00
01
10
10
10
00
10
10
01
10
01
10
10
10
10
10
10
01
01
01
11
01
11
11
00
00
10
10
11
10
00
10
00
11
01
00
11
01
10
00
10
11
00
10
10
11
01
00
10
01
11
10
10
10
00
00
00
00
11
10
00
01
11
11
11
11
10
11
00
11
10
01
00
10
00
01
00
11
10
11
00
11
11
01
00
10
10
01
11
11
10
00
00
11
01
00
00
00
10
11
10
10
10
01
10
01
00
01
10
11
00
01
10
10
00
01
00
10
00
01
10
10
10
00
00
00
10
11
00
11
11
00
10
10
01
00
10
10
01
11
01
00
10
11
10
00
11
10
00
01
00
10
00
11
11
01
11
00
10
10
10
10
00
01
11
11
10
01
10
11
10
00
10
10
00
10
10
00
00
01
10
10
10
11
00
00
10
00
10
00
00
10
00
00
00
11
01
11
11
00
00
10
10
10
10
01
00
10
10
11
10
01
01
11
10
00
00
11
00
00
00
10
00
01
00
11
11
01
10
01
00
00
00
10
10
01
10
00
11
10
00
11
10
01
11
00
00
10
11
00
10
10
00
01
00
01
10
00
11
00
10
00
11
11
10
10
00
00
00
10
11
01
00
10
10
11
01
00
11
00
01
11
00
10
00
11
10
01
00
00
10
01
00
10
11
00
11
01
00
01
00
10
11
10
01
01
00
10
01
11
11
10
00
01
11
10
10
11
01
10
01
11
00
00
10
01
11
01
00
10
11
10
11
00
00
10
10
01
00
00
10
00
00
11
00
00
00
00
10
01
10
11
11
01
11
00
10
11
10
01
00
01
10
11
11
00
00
11
11
10
10
01
00
00
10
00
10
11
10
11
00
10
10
10
10
00
00
00
00
11
10
11
10
00
10
10
00
00
11
10
00
00
00
01
00
00
10
11
10
00
11
11
00
00
00
10
01
10
10
01
10
10
10
10
00
00
10
00
10
01
10
10
10
11
11
10
00
00
00
10
00
00
00
00
00
10
00
00
10
10
10
01
10
00
10
00
00
11
00
11
10
01
00
10
11
00
11
11
10
00
01
01
10
01
00
11
10
00
00
01
00
10
10
10
01
11
00
01
01
01
00
01
11
10
11
00
01
10
10
01
00
10
10
00
01
11
10
00
11
01
11
10
00
10
10
10
00
10
10
00
11
10
10
10
00
00
00
11
10
11
10
01
01
01
00
10
10
01
10
10
00
10
10
11
01
11
10
10
10
01
01
10
00
00
11
10
11
00
00
11
11
10
10
00
01
01
10
10
00
10
00
01
10
10
00
01
00
01
00
11
00
00
10
01
10
10
00
01
01
10
00
11
00
01
10
11
00
00
00
10
00
01
10
10
10
01
10
11
00
00
00
01
10
00
00
11
00
01
10
10
01
00
00
00
10
10
10
01
10
11
00
01
00
00
00
10
11
11
01
00
01
10
11
01
00
10
10
00
11
00
00
01
00
11
11
11
10
10
00
10
10
10
00
00
10
01
11
00
00
11
10
00
10
10
00
10
00
10
00
00
00
10
00
10
10
00
11
00
10
01
01
01
11
00
00
10
00
11
11
00
00
01
10
01
01
11
01
01
01
10
10
10
00
10
10
00
00
11
00
10
00
11
11
00
10
00
11
00
01
00
10
10
00
10
01
01
10
01
11
00
10
11
10
00
01
10
10
10
01
00
11
10
00
00
00
00
00
10
10
10
00
11
10
11
10
10
11
01
01
10
11
00
10
01
00
00
10
11
01
11
00
00
11
10
10
00
10
11
00
01
11
11
01
00
10
01
01
10
10
01
00
00
10
00
11
10
11
00
00
10
00
01
00
00
11
10
01
01
00
10
10
00
00
00
11
00
01
10
00
00
10
10
11
00
01
01
10
00
01
10
00
11
11
00
10
01
00
10
10
11
10
11
00
01
10
10
00
11
10
01
00
00
11
10
10
01
10
11
00
00
11
01
11
00
01
10
10
10
00
01
10
11
10
11
00
10
01
00
11
10
10
00
10
00
00
10
10
10
10
00
10
11
10
00
00
10
01
10
11
10
10
01
00
01
00
00
10
00
01
11
11
01
11
01
11
00
00
00
11
10
00
10
11
00
00
01
10
10
10
01
00
00
10
01
00
10
10
01
01
10
10
01
10
11
11
01
11
11
00
00
10
10
10
10
01
10
00
00
11
00
00
00
10
10
00
00
00
00
00
10
10
00
10
01
01
00
01
11
10
01
01
10
11
00
01
10
10
00
01
10
10
10
00
10
10
10
10
10
01
00
00
00
11
00
10
00
01
00
10
10
00
11
10
10
10
11
10
10
10
11
11
00
00
00
11
10
01
10
00
00
00
00
11
00
00
10
10
11
10
10
01
10
01
01
10
11
10
00
10
00
10
11
01
01
00
10
11
10
11
00
01
10
10
01
10
01
01
01
11
00
00
10
00
01
00
11
00
10
10
00
10
11
10
00
00
10
01
10
00
01
01
10
00
00
10
10
11
11
00
01
11
01
10
00
10
00
10
10
11
00
00
10
10
10
10
10
00
00
11
00
01
11
10
11
10
00
00
10
11
10
11
10
10
00
00
01
11
10
00
01
11
00
10
11
00
00
10
00
01
10
11
00
10
10
01
10
01
00
11
10
11
00
10
10
00
10
10
00
00
01
11
00
10
00
10
10
00
01
00
10
00
00
10
00
01
00
11
10
01
11
00
00
01
01
11
00
00
00
10
10
00
01
10
11
01
00
00
11
11
10
00
01
11
01
00
01
00
00
10
11
00
01
00
10
11
00
00
00
01
00
00
10
10
01
00
00
00
10
11
10
11
10
10
00
10
00
11
00
00
11
11
00
10
00
10
10
00
01
00
10
10
00
10
01
00
10
10
00
10
00
11
00
01
00
01
11
11
10
00
10
11
11
00
11
11
11
10
01
00
10
01
00
10
11
01
00
01
00
10
10
00
10
10
00
11
00
10
10
00
00
11
10
00
00
00
10
10
00
00
00
10
11
00
00
00
00
11
11
10
10
11
10
00
01
00
10
10
00
00
10
10
00
11
00
10
11
11
11
00
00
01
01
00
10
11
00
01
11
00
10
10
01
11
10
01
00
10
00
10
10
00
00
10
10
01
00
11
10
10
00
11
01
10
10
10
01
00
10
11
01
11
10
00
00
11
10
00
11
10
10
00
10
11
00
00
10
10
01
00
10
10
00
10
11
10
10
00
01
11
00
10
00
00
01
11
00
11
10
01
00
10
10
01
10
10
00
01
01
11
00
00
10
10
10
01
11
10
00
11
10
11
10
01
10
00
00
11
11
00
10
10
10
00
01
10
11
01
10
10
11
01
00
00
01
01
11
11
10
01
10
00
10
10
00
01
11
00
00
10
10
10
00
01
10
01
00
10
10
00
01
11
00
01
01
00
10
00
00
10
00
00
11
00
11
00
10
00
10
01
01
00
00
10
00
01
00
10
00
01
01
00
11
01
10
10
00
10
10
01
00
00
11
01
00
01
01
10
00
00
11
00
00
00
10
10
00
10
00
10
00
11
11
00
00
00
10
10
11
00
11
10
11
00
00
10
10
10
00
00
10
00
11
11
10
00
00
00
00
01
01
00
10
11
00
00
11
10
01
11
11
01
10
10
10
11
00
00
10
11
00
00
00
11
10
01
10
10
11
00
11
10
10
01
10
01
00
10
00
11
00
11
00
10
10
01
10
10
11
00
10
10
00
10
10
10
01
10
10
00
00
00
10
10
10
00
00
11
10
01
01
00
00
11
10
00
00
10
01
00
00
10
10
11
11
10
10
10
11
00
01
10
01
10
11
01
00
10
10
01
00
10
11
10
10
01
10
10
10
00
00
10
10
11
10
00
00
10
11
01
00
10
10
10
00
00
10
10
00
00
10
01
01
00
10
01
00
00
10
10
00
10
00
10
10
00
01
01
11
11
10
00
00
00
00
11
11
00
11
10
01
10
00
10
10
10
01
00
10
11
10
01
00
00
01
10
00
10
10
01
10
01
10
10
00
10
00
00
10
11
00
01
00
10
00
00
01
10
00
01
00
10
10
11
00
00
10
01
11
00
10
11
10
01
00
01
00
11
00
10
11
11
10
11
11
01
10
11
11
00
10
00
00
10
10
00
01
01
10
11
10
11
10
10
00
10
00
00
00
10
10
01
00
00
00
00
00
10
10
11
11
01
01
10
00
01
10
00
00
10
00
10
11
10
01
01
00
11
01
00
01
01
10
00
10
10
01
00
10
10
01
00
00
00
00
10
00
00
10
00
11
01
01
00
01
11
10
01
10
10
01
11
11
00
10
11
01
10
10
10
01
11
11
00
01
11
10
11
00
10
11
10
00
00
11
10
10
10
01
10
00
10
11
00
01
00
10
10
10
01
01
10
11
00
10
00
11
11
01
01
00
10
01
00
00
10
10
01
00
00
11
00
00
11
10
01
10
10
10
00
01
10
10
01
00
10
11
01
01
01
01
11
11
10
11
01
00
01
10
11
00
10
10
00
10
11
10
00
00
10
01
00
00
11
10
10
00
11
10
11
00
00
11
00
10
11
00
10
00
00
00
10
10
01
00
10
11
00
10
10
01
10
10
10
00
10
11
10
00
01
11
01
11
11
10
00
11
10
00
11
00
10
11
10
10
11
10
01
00
00
10
10
01
00
00
10
01
00
00
00
10
11
10
00
01
00
10
01
10
11
00
11
11
01
00
11
11
00
01
10
10
11
01
01
00
00
11
10
00
00
00
10
10
10
10
11
10
01
00
00
00
10
01
11
01
11
00
10
11
10
00
01
10
01
00
10
11
00
00
00
11
00
10
11
00
00
01
10
11
00
10
00
10
00
01
01
11
00
10
10
10
11
01
01
10
11
01
01
10
00
10
10
11
01
11
00
01
00
00
00
10
11
00
00
11
00
00
00
00
11
01
10
10
00
00
00
10
00
11
10
01
11
10
00
00
10
01
10
10
00
11
10
10
00
00
00
00
01
10
10
01
00
11
00
01
10
10
11
10
10
00
10
11
00
00
10
10
10
10
10
10
00
00
10
00
00
11
10
11
11
00
11
00
10
00
11
11
00
00
01
01
10
10
11
10
11
00
00
00
11
00
10
00
10
10
10
11
00
01
00
11
00
11
10
01
00
10
11
00
11
10
00
10
10
00
00
00
10
11
00
00
10
10
10
00
10
01
00
01
10
00
10
00
00
00
10
11
00
10
10
01
11
10
10
01
10
10
00
10
00
00
10
11
11
01
00
10
10
01
00
00
10
01
01
11
00
10
00
10
10
00
10
11
00
10
10
10
00
10
01
10
00
10
11
10
00
00
00
01
00
10
10
11
10
11
10
10
11
00
10
10
11
00
00
00
10
01
00
10
01
00
10
10
10
10
10
00
00
00
00
10
00
10
00
10
00
10
10
00
11
00
10
00
01
10
10
10
00
00
00
00
10
11
01
00
10
10
00
11
00
10
10
01
10
01
00
00
10
10
00
10
01
00
00
00
10
00
10
01
00
10
10
00
10
00
00
00
11
10
10
10
01
11
10
01
00
10
11
11
11
11
00
10
01
00
00
00
01
10
10
00
10
00
00
11
01
10
00
11
11
10
00
01
00
11
01
11
11
10
00
00
11
10
10
10
10
01
01
00
00
11
00
00
10
00
01
10
00
10
00
10
00
11
10
11
00
01
00
10
01
10
00
01
01
10
00
00
11
10
10
01
10
01
10
10
00
00
11
10
11
00
10
01
00
11
10
01
00
10
01
10
01
01
00
11
10
10
00
10
01
11
00
00
10
10
01
11
11
10
01
01
11
00
00
01
11
10
01
01
11
01
00
11
01
00
10
00
01
10
11
10
00
10
11
00
11
10
00
00
00
00
10
10
00
10
00
10
11
10
11
10
00
10
10
00
00
10
11
00
10
00
11
00
10
01
00
11
10
11
00
10
10
11
01
00
10
10
10
00
11
00
00
00
01
11
00
00
11
00
11
11
00
10
01
00
00
10
10
10
01
10
11
01
00
00
00
10
11
00
00
00
10
00
10
10
10
11
10
00
00
11
01
10
01
00
10
01
11
10
11
00
00
11
01
10
10
10
00
00
11
01
00
11
11
00
01
00
11
00
10
00
11
10
00
11
10
01
00
11
10
00
10
10
00
01
10
00
11
01
01
01
10
00
00
00
11
01
00
10
11
10
10
10
00
01
10
10
01
00
11
01
10
10
10
10
10
10
11
01
00
10
01
10
01
11
11
10
00
00
10
10
00
10
10
10
10
00
01
11
01
00
00
00
10
00
00
10
10
00
10
10
10
00
00
00
10
10
10
10
11
10
11
10
01
10
00
00
00
10
10
10
10
10
00
11
10
01
10
00
10
00
01
00
01
11
10
00
10
10
00
00
11
01
10
10
00
10
10
01
10
10
00
10
00
01
10
10
00
01
01
11
00
00
01
00
01
11
11
00
10
10
11
01
00
00
00
10
10
10
01
10
10
00
01
10
10
01
11
10
11
10
10
00
10
01
11
00
00
01
00
10
00
01
10
00
00
10
10
00
10
00
00
00
01
10
01
01
11
11
10
10
10
01
00
10
11
01
11
00
00
10
11
11
00
01
10
00
11
11
01
00
01
11
00
10
01
01
10
10
00
10
10
10
01
00
10
00
11
01
00
00
01
10
11
00
11
10
10
11
01
00
10
11
00
00
10
01
10
10
00
01
01
10
11
00
11
10
00
00
11
01
01
00
10
01
01
10
10
10
00
01
00
11
11
00
10
01
10
10
01
01
00
10
11
10
00
01
01
10
11
10
11
10
01
00
00
10
10
00
00
10
11
10
11
01
10
00
00
10
10
00
00
01
10
11
01
00
00
01
10
00
11
10
00
10
01
00
00
00
10
10
10
10
00
10
01
01
01
11
11
11
00
00
00
10
11
10
00
00
10
10
11
10
00
00
00
00
10
11
01
01
11
00
01
11
00
11
00
01
10
00
10
00
00
11
00
01
10
11
10
00
00
10
11
00
00
01
10
00
01
10
11
01
11
11
00
00
00
10
10
00
00
01
10
11
10
00
00
10
00
10
10
00
00
00
11
00
11
11
10
11
10
01
00
10
10
00
00
11
01
00
11
11
10
00
10
10
10
10
00
01
00
10
10
10
10
00
00
01
01
10
11
10
10
00
10
11
10
10
00
00
10
01
10
10
00
00
10
11
00
01
00
11
10
00
10
00
11
10
10
00
10
01
00
11
00
10
10
00
11
01
11
10
00
10
00
00
10
01
10
01
01
10
01
10
11
11
00
00
11
01
10
10
01
01
10
11
10
10
10
00
00
01
00
10
10
00
00
00
01
10
01
00
00
10
01
10
11
10
10
00
00
10
00
00
11
10
00
00
00
00
01
10
00
10
10
10
00
01
11
10
01
10
11
01
01
00
10
10
00
00
10
10
00
00
10
00
00
00
00
10
10
00
11
01
10
00
01
11
10
10
11
00
10
00
10
00
01
00
01
11
10
10
00
11
01
11
10
00
00
00
11
01
11
10
01
10
00
11
11
11
11
00
00
10
11
10
00
00
11
00
10
00
10
11
00
11
10
00
01
11
11
01
01
11
01
11
11
01
10
11
00
01
10
01
11
00
11
01
01
10
00
00
01
10
10
10
10
01
11
11
10
10
00
00
11
00
00
10
01
10
10
10
11
10
11
00
01
00
11
10
10
01
00
10
11
10
00
00
00
01
00
10
01
00
10
00
11
00
10
00
00
00
01
10
10
00
00
10
00
10
00
10
01
10
01
00
10
11
01
11
10
11
00
10
10
10
00
00
10
10
10
00
11
00
01
00
10
00
10
10
11
10
01
00
00
00
10
00
10
10
01
00
10
11
00
11
00
11
10
10
01
00
10
10
10
11
00
00
10
00
01
10
10
10
11
00
01
10
00
10
10
10
00
00
10
00
00
10
00
01
10
10
10
10
10
00
01
00
10
10
11
10
00
00
10
01
01
00
10
10
01
11
10
11
10
10
00
01
10
00
10
11
00
01
10
11
10
00
10
11
11
00
01
10
01
11
00
01
10
10
10
00
00
01
10
00
00
11
10
00
10
10
10
10
01
10
11
10
00
00
11
00
10
11
01
11
10
10
00
01
11
10
00
01
10
11
10
00
10
01
00
10
10
00
00
00
10
11
10
00
01
10
00
01
11
10
00
00
00
11
00
00
11
10
10
00
00
10
00
10
00
00
00
10
10
00
01
00
11
11
00
00
11
00
11
00
00
10
11
01
00
10
10
10
00
10
01
11
00
01
10
10
00
10
10
00
00
10
00
00
10
01
00
11
10
00
00
01
11
10
11
00
00
00
10
11
00
00
11
10
10
01
10
00
00
10
01
10
00
11
11
00
00
00
10
00
00
00
10
10
10
10
10
10
00
00
00
01
00
10
10
10
10
00
10
10
11
00
10
11
10
00
00
10
11
01
00
11
11
00
11
10
00
00
10
10
10
00
00
10
10
10
00
10
00
11
00
00
01
00
10
00
11
10
11
01
01
01
10
10
00
00
10
10
00
00
00
11
11
01
11
01
01
00
01
10
10
01
01
11
10
10
01
01
11
00
00
10
00
10
10
00
01
11
11
00
10
01
10
00
10
10
01
00
11
10
10
00
00
10
10
01
00
00
10
10
00
10
01
10
00
01
01
00
00
10
00
10
01
00
10
10
10
11
00
01
00
10
01
10
11
01
10
10
10
00
00
10
11
10
11
00
00
00
01
11
00
00
11
11
01
11
00
00
10
00
11
00
11
10
10
10
00
00
00
00
01
10
00
11
00
01
00
10
11
10
00
01
01
10
11
00
10
00
00
00
01
00
11
01
01
10
11
00
01
01
01
10
10
01
00
00
11
10
00
01
00
10
11
00
00
11
10
10
11
00
10
10
10
01
11
00
00
10
11
00
10
00
01
11
10
00
01
10
01
11
10
11
00
01
10
00
10
11
01
00
00
10
10
00
10
10
00
10
10
00
11
10
01
11
01
00
00
00
00
10
10
00
01
00
10
00
01
11
00
01
00
10
11
01
00
01
00
10
11
01
11
10
11
00
01
10
00
00
11
11
01
11
11
00
01
00
11
01
10
11
00
00
10
00
00
00
00
11
11
11
10
00
10
01
10
01
10
11
00
10
00
10
00
01
01
11
10
00
10
10
10
00
01
10
10
10
00
01
00
11
01
10
00
10
10
01
10
10
00
10
10
00
00
00
01
11
00
01
10
00
01
11
01
00
00
10
11
00
01
00
11
10
10
10
00
10
00
11
10
10
00
00
10
00
10
10
00
11
10
10
01
11
00
00
10
00
00
10
01
00
00
00
00
00
10
00
00
10
10
11
00
01
11
00
00
00
01
11
10
01
10
10
10
11
01
10
10
01
11
00
01
00
00
10
01
00
01
10
10
00
10
10
11
00
01
00
11
11
10
00
10
00
00
10
10
10
00
00
10
00
10
01
00
10
01
11
00
11
01
01
01
00
11
10
01
00
11
10
00
11
10
11
01
00
10
11
00
00
10
10
00
01
10
00
00
10
10
00
10
11
00
10
10
01
11
00
11
01
11
01
10
00
10
01
10
01
00
11
10
00
00
00
10
11
01
10
11
10
11
01
10
01
11
10
00
11
01
10
10
00
10
10
00
10
00
10
10
00
00
11
10
00
00
10
10
10
10
01
00
00
10
10
10
00
10
00
00
00
01
10
11
10
10
00
10
00
10
11
11
01
10
10
01
10
10
00
11
10
01
11
01
11
01
00
11
01
00
00
10
10
00
00
10
00
10
01
10
10
10
01
00
00
01
00
00
00
00
10
10
01
10
10
10
00
00
00
00
10
10
10
10
00
00
01
00
11
00
10
10
10
10
10
10
00
00
11
10
00
00
11
00
00
00
11
10
01
01
10
10
11
01
11
10
00
10
11
01
10
10
00
00
11
01
01
10
11
00
11
10
01
00
10
10
01
01
10
10
01
11
01
11
10
00
10
10
10
10
00
01
00
00
10
10
10
00
10
10
00
01
01
11
11
10
11
11
10
10
10
00
00
01
01
11
11
00
00
10
11
00
00
11
11
10
00
00
10
11
00
01
00
11
10
11
11
00
00
00
10
00
00
01
10
11
00
01
10
00
01
10
10
01
00
10
11
10
10
10
00
00
10
11
10
11
00
00
10
00
00
10
11
01
00
10
11
01
10
00
00
11
10
11
01
11
11
00
10
10
11
10
01
01
11
01
01
10
10
10
00
01
00
11
10
01
00
01
10
01
11
10
00
01
10
11
10
01
01
10
10
10
10
00
00
11
11
00
01
11
10
11
10
00
00
11
10
00
01
10
10
00
10
00
11
01
00
11
00
00
11
00
10
11
01
11
11
10
00
00
10
01
10
00
00
10
11
00
00
10
11
10
00
10
10
11
00
00
11
10
01
00
00
10
01
00
10
00
00
10
00
00
10
11
00
00
10
10
10
00
00
00
00
00
10
11
01
00
10
10
01
11
10
01
01
10
10
00
10
01
00
00
10
10
00
10
00
11
01
01
00
10
10
10
10
00
11
10
00
10
10
01
00
11
11
00
01
01
10
00
01
10
01
00
10
01
10
11
11
00
01
00
01
10
10
00
10
11
00
00
11
10
01
00
00
00
11
01
11
10
01
10
00
10
00
00
10
10
00
00
10
10
01
00
11
00
11
10
11
10
01
00
10
10
11
10
00
00
10
10
01
10
11
10
10
01
00
11
10
10
01
01
00
01
10
10
10
10
11
00
00
00
10
10
00
01
01
00
00
10
00
10
11
01
10
10
01
10
00
10
10
01
10
00
01
00
10
00
00
01
10
11
10
11
00
10
00
11
00
01
00
10
01
10
00
00
00
10
10
11
01
00
10
01
11
10
00
00
00
00
11
00
10
01
00
11
00
00
01
11
01
00
10
10
00
01
10
10
00
10
01
10
10
00
10
10
00
10
10
00
01
00
10
10
01
01
10
00
00
01
10
10
11
11
10
10
00
00
01
10
00
11
01
00
11
11
01
11
10
11
00
11
10
10
00
00
10
10
00
00
11
11
10
10
01
00
11
00
11
10
10
01
10
10
00
00
00
10
01
10
11
11
10
00
10
11
00
01
10
00
10
01
00
00
00
11
01
10
11
00
01
01
00
11
10
00
01
10
01
10
00
01
11
10
00
10
10
00
01
11
00
01
10
10
10
11
00
10
10
00
00
10
01
01
10
11
11
00
11
00
01
10
10
00
01
10
10
10
00
01
00
00
00
00
11
10
10
10
00
00
10
10
00
00
11
00
10
10
01
11
00
00
11
10
11
10
01
00
10
00
10
10
10
11
00
00
10
10
00
00
11
01
00
01
00
00
00
10
01
10
00
00
10
10
10
10
11
10
01
11
11
01
10
10
00
11
10
10
00
00
01
01
10
11
10
00
00
00
01
00
11
10
00
10
00
00
01
10
11
00
10
10
01
00
00
00
11
00
11
10
10
01
00
00
00
00
00
00
10
11
00
00
00
00
00
00
00
10
10
00
10
11
01
10
10
10
00
01
10
10
10
10
00
01
00
00
10
10
11
11
10
00
00
11
10
00
01
10
01
10
00
01
10
00
01
10
10
00
10
10
00
00
00
10
11
10
01
01
11
10
10
10
01
01
11
01
01
10
10
11
10
01
00
10
10
00
10
10
10
00
10
01
00
01
01
10
10
10
10
00
00
10
00
00
11
00
00
11
10
10
10
10
00
01
10
00
10
01
00
00
00
11
01
10
00
00
10
10
00
10
10
01
00
01
10
10
00
11
10
00
00
10
01
00
10
10
00
11
01
10
00
10
11
10
01
00
01
10
00
01
01
10
11
10
11
10
10
01
10
11
01
10
11
01
10
00
10
10
00
11
11
00
01
10
11
11
00
01
00
11
10
01
00
00
00
10
10
10
11
00
00
01
01
10
10
10
01
01
01
00
10
11
00
10
01
01
10
10
10
10
10
00
01
00
10
10
10
10
00
10
01
01
10
11
10
00
00
11
10
01
10
10
10
10
00
01
10
11
10
01
11
11
10
10
11
00
10
11
11
01
00
00
01
11
10
11
10
00
01
00
10
10
00
00
00
10
01
11
00
10
01
00
10
00
10
11
11
10
00
11
11
10
10
01
11
11
11
00
10
10
00
11
00
11
10
10
11
10
10
00
01
10
00
00
00
10
00
10
11
11
00
01
10
01
01
11
00
01
10
10
00
11
00
01
10
11
00
01
00
01
00
10
10
00
00
10
10
01
11
10
10
00
01
00
00
01
10
10
00
00
11
00
00
01
00
11
10
10
00
00
11
10
10
00
00
11
10
10
01
11
10
10
10
11
10
00
01
10
00
01
00
00
10
10
10
01
01
00
10
10
00
01
01
00
01
00
11
00
10
11
01
10
10
01
00
00
01
01
00
10
10
01
00
00
10
10
01
00
10
11
10
00
00
00
10
00
01
11
10
10
10
01
01
00
00
11
10
01
10
11
01
00
10
00
01
10
00
00
10
10
11
00
10
11
10
00
01
11
11
10
11
01
01
10
10
10
00
00
10
01
00
01
00
10
10
00
00
00
00
10
00
01
00
11
00
01
01
01
10
11
11
00
11
00
10
11
00
00
10
10
00
10
10
00
11
00
00
10
10
10
00
11
10
00
01
10
01
00
10
00
00
11
10
00
00
10
10
11
10
01
00
11
10
11
00
10
00
00
00
11
00
01
11
11
01
01
00
01
10
10
00
00
10
10
10
01
00
10
00
00
11
10
10
10
01
00
00
00
01
10
10
10
01
11
11
10
00
10
10
01
01
01
10
10
10
01
10
00
10
10
11
11
10
11
11
10
00
10
00
00
00
00
00
10
10
00
10
11
11
10
00
10
00
10
01
00
10
11
00
10
10
11
10
10
00
01
10
10
01
10
10
01
00
11
01
00
10
11
10
00
11
10
00
10
01
10
10
10
00
00
10
10
01
10
10
10
11
10
00
00
00
00
10
00
01
00
01
11
00
00
00
01
11
10
10
00
10
10
01
01
11
10
11
10
10
10
11
10
01
10
11
00
10
10
10
00
01
00
10
11
00
10
00
00
00
00
00
01
11
00
01
10
10
11
10
01
11
11
01
00
00
10
00
01
11
10
00
00
00
10
11
10
01
10
10
01
10
00
00
11
10
00
00
01
00
00
10
11
00
10
10
11
00
00
00
10
11
01
10
00
10
10
11
00
11
11
11
00
10
10
01
01
11
11
01
00
10
00
00
00
11
11
00
10
11
11
10
00
00
00
00
10
10
10
01
01
00
00
10
11
00
00
10
00
00
10
10
11
10
10
11
00
10
00
10
01
10
10
01
00
00
11
01
01
01
00
11
10
10
10
01
00
10
10
00
10
11
10
10
01
10
00
11
11
01
11
01
00
11
01
00
11
10
01
01
10
00
11
00
00
10
10
01
10
10
10
00
10
00
00
10
01
10
01
10
11
00
11
00
00
01
01
00
10
00
00
10
01
00
10
11
10
00
01
00
01
00
11
10
10
00
10
10
00
10
10
10
10
11
11
10
00
00
01
10
00
01
10
01
00
11
00
10
11
10
11
00
10
11
00
10
11
00
01
01
00
10
00
10
10
11
00
00
10
10
10
10
00
01
11
00
00
00
11
01
00
10
01
01
10
00
01
10
10
11
10
01
10
00
00
10
10
10
10
01
11
00
00
10
01
00
00
10
10
01
00
11
00
01
00
10
10
11
00
01
00
10
00
10
11
00
01
10
00
00
11
11
10
10
01
01
00
10
00
00
10
00
10
10
01
10
10
00
01
10
00
01
10
10
00
00
00
10
10
10
01
10
00
00
10
00
10
10
11
10
10
00
00
10
11
00
01
00
01
11
10
10
00
10
11
10
10
00
00
11
10
11
00
00
10
01
01
10
11
10
00
10
10
00
11
11
00
00
10
00
00
10
01
01
11
10
01
11
10
10
10
00
00
00
10
10
10
00
01
11
10
10
10
01
01
10
00
10
00
00
10
00
00
10
10
10
10
10
01
10
01
00
11
11
00
10
01
00
11
00
10
00
00
10
10
10
00
11
11
10
11
01
10
10
00
01
11
11
00
00
10
10
10
11
11
01
10
10
00
10
11
00
11
00
00
00
10
10
11
10
01
00
10
10
01
01
00
11
10
01
10
10
01
01
10
10
10
00
11
00
00
00
00
01
00
00
10
11
00
00
00
10
00
00
11
00
00
01
11
10
10
00
00
00
11
10
00
01
10
10
01
00
11
10
01
00
10
10
10
00
00
00
10
10
10
10
10
00
10
00
10
00
11
10
10
00
01
01
10
00
00
10
01
10
01
00
01
10
00
00
10
10
10
00
01
10
10
11
10
01
11
01
10
10
00
00
10
10
11
01
10
01
00
10
01
11
01
10
11
00
00
11
10
00
00
00
10
10
00
00
11
11
00
11
10
01
10
00
00
11
00
01
00
10
01
00
10
11
11
00
10
10
01
00
00
11
11
11
11
01
01
10
00
11
11
11
10
00
01
00
00
10
10
00
10
00
00
10
00
01
11
00
01
00
11
01
11
11
00
10
10
11
00
00
10
00
00
00
00
11
11
11
01
00
01
10
10
00
10
10
00
10
10
00
11
10
00
10
10
00
00
10
00
10
01
00
10
10
01
10
00
10
10
00
01
01
00
10
10
00
11
10
00
00
11
11
01
01
10
01
01
00
10
10
01
00
00
11
01
00
00
00
10
01
00
01
10
10
11
01
00
10
10
10
10
10
00
10
10
10
00
01
00
00
01
00
00
10
10
00
10
00
00
10
01
00
11
11
01
10
11
01
10
00
00
10
11
10
10
10
11
01
01
00
10
11
00
10
10
00
00
10
11
00
00
00
10
01
00
00
00
10
00
00
11
10
00
01
00
00
00
10
10
01
11
11
01
00
10
00
10
10
00
10
00
00
10
10
01
11
11
11
01
01
10
11
01
11
00
01
10
10
01
01
11
11
00
01
00
01
10
10
00
00
11
10
10
00
00
10
00
10
10
10
01
10
01
00
01
11
01
10
11
10
00
00
10
10
01
01
11
00
01
01
10
11
00
11
11
10
01
00
01
11
01
00
00
10
11
11
00
11
00
00
00
00
10
10
00
10
00
00
11
10
00
00
11
10
01
01
01
11
10
10
11
00
00
01
10
10
11
11
10
00
10
00
10
10
00
00
00
00
11
10
10
00
01
10
00
11
00
11
10
00
10
01
01
01
01
10
11
10
00
11
10
00
00
11
10
10
00
00
10
10
00
01
10
00
11
01
10
01
01
10
00
10
11
01
00
10
11
00
00
11
00
00
11
10
10
01
11
00
00
11
11
10
01
10
00
00
10
00
10
11
00
01
10
10
10
01
10
00
10
01
00
01
00
10
10
10
10
10
10
00
01
11
01
00
00
00
11
01
11
01
00
11
00
00
11
11
01
10
00
01
11
11
01
00
10
00
00
10
01
00
11
10
00
11
11
10
11
10
01
00
01
00
11
00
10
10
10
11
00
00
00
11
01
10
00
01
10
01
11
11
00
01
01
00
10
10
10
00
10
11
01
11
00
10
11
00
01
10
01
00
11
00
00
10
10
01
00
01
10
10
00
00
01
00
10
10
00
01
11
10
01
11
10
00
00
10
11
10
01
00
00
11
11
11
00
10
01
00
00
01
01
10
10
10
01
10
10
01
11
10
10
10
01
11
11
01
10
10
01
10
00
00
10
01
10
11
01
01
10
10
00
10
11
00
00
10
10
10
00
10
11
01
00
00
00
01
00
01
10
00
01
00
11
01
10
10
00
00
00
00
11
01
00
10
10
10
00
11
10
00
01
00
00
10
11
11
11
00
01
00
00
00
11
00
00
10
00
10
00
10
10
11
00
10
10
10
10
00
00
10
11
00
00
00
00
00
11
01
10
11
00
10
00
11
00
10
10
00
00
00
10
11
11
00
00
10
01
00
00
00
10
10
01
11
00
00
11
00
10
10
10
01
00
10
00
10
01
00
00
10
11
00
00
10
10
00
11
00
10
01
11
11
00
01
10
11
01
10
00
01
10
10
01
00
10
01
11
10
01
10
01
01
00
10
10
00
10
10
00
10
11
11
10
00
00
11
11
10
01
11
10
00
00
10
10
01
01
00
01
01
00
10
10
00
10
10
00
10
10
01
01
00
00
10
01
11
00
11
11
00
11
01
00
11
10
00
10
10
00
10
00
00
01
00
01
10
10
10
00
01
00
11
10
00
10
00
10
00
00
10
00
00
10
11
10
01
01
01
10
01
00
00
00
10
10
01
10
11
10
00
11
01
10
11
10
00
11
00
01
11
00
01
10
00
00
11
11
11
00
00
00
00
00
10
11
01
01
10
10
10
10
01
11
10
00
00
00
11
00
10
10
11
00
00
01
11
01
01
00
01
10
10
10
10
00
00
10
10
10
10
00
01
10
01
11
00
01
01
11
11
01
11
00
11
10
11
00
00
11
11
10
00
00
11
00
11
11
11
00
00
10
10
10
01
00
10
00
10
11
00
00
10
10
00
11
01
01
10
00
00
11
10
10
01
00
10
00
11
10
10
00
01
10
10
00
11
00
10
00
01
10
00
10
11
00
00
00
10
10
00
01
10
10
00
01
01
10
00
00
11
10
00
00
10
10
00
00
00
00
10
10
11
01
00
11
11
10
00
10
11
00
00
11
10
11
10
11
00
00
11
11
01
01
10
00
01
00
10
10
00
01
10
00
00
11
10
01
01
10
01
01
00
00
00
11
10
01
01
10
11
11
00
01
10
01
10
01
00
01
10
11
01
11
11
01
00
11
01
00
11
00
01
10
00
00
10
10
10
01
10
01
00
00
10
10
00
00
01
10
00
00
10
00
11
01
10
00
10
10
00
01
00
10
11
01
10
00
00
10
11
11
01
11
11
10
11
01
00
10
10
00
00
00
11
00
00
10
10
00
10
10
01
10
00
00
10
11
10
01
10
10
01
01
11
00
00
11
10
10
00
00
11
10
11
01
01
10
00
10
10
10
01
00
11
00
01
10
01
10
11
00
01
00
10
10
00
11
10
01
00
00
00
11
01
10
10
00
00
01
10
11
00
10
00
00
10
10
00
00
00
10
11
11
00
00
00
00
00
10
00
11
00
00
10
01
00
11
11
10
10
10
00
10
10
01
00
00
00
10
00
11
00
00
10
10
01
01
11
00
10
10
00
10
10
00
01
10
10
10
10
10
00
00
00
10
10
01
01
00
00
11
00
00
10
00
10
10
11
00
10
10
10
01
11
00
00
00
10
00
00
10
11
01
00
11
10
11
00
10
11
11
10
00
00
11
00
10
00
00
10
11
00
10
11
00
01
01
00
01
11
01
00
00
10
10
10
00
00
10
10
10
11
10
11
00
00
00
10
10
01
10
11
10
11
11
10
00
10
11
01
00
00
11
10
10
01
11
11
00
01
11
00
00
10
10
00
00
10
00
10
11
11
00
01
00
10
10
01
11
00
01
11
10
00
00
10
10
01
01
00
00
10
11
01
00
11
00
00
10
10
10
01
01
11
10
01
00
11
10
00
10
00
11
00
01
10
00
10
00
10
10
01
11
10
00
10
10
11
10
00
00
01
11
01
01
10
01
01
00
10
00
00
10
11
00
11
11
01
00
01
01
00
11
11
10
01
00
10
00
00
10
11
01
00
01
00
10
10
00
10
11
10
00
00
01
00
00
10
10
00
00
00
10
01
10
10
01
00
10
10
11
00
00
10
11
10
11
10
01
11
00
00
11
00
01
00
10
10
00
00
10
10
00
10
10
00
00
10
10
11
10
10
11
10
00
00
01
10
00
11
11
11
00
00
10
11
10
00
01
10
11
00
10
10
10
01
10
01
01
11
11
11
01
00
10
11
10
10
00
10
10
01
00
10
10
01
10
10
01
00
10
00
10
10
00
00
01
00
10
00
00
00
11
10
10
11
01
11
10
10
10
10
00
01
10
00
00
00
01
10
01
10
11
01
10
01
00
10
11
00
00
00
11
11
10
00
00
01
11
11
11
10
10
00
01
01
11
10
00
10
01
01
01
10
10
00
11
11
00
01
10
00
00
00
01
01
10
10
00
00
00
01
00
10
10
10
00
00
10
10
10
10
11
00
00
00
10
10
10
11
01
10
01
01
10
11
10
00
10
00
00
10
00
00
01
10
00
10
01
10
10
11
00
00
11
11
00
00
11
00
11
11
00
00
10
00
10
00
00
10
00
10
10
10
01
00
10
01
10
10
10
00
00
01
00
11
10
10
00
10
00
11
10
01
11
11
01
10
11
10
11
00
10
10
00
10
01
10
00
00
11
00
10
01
00
01
00
00
11
10
00
11
10
11
01
01
10
00
00
10
00
01
00
11
01
00
11
10
10
10
11
00
10
11
00
11
10
11
00
10
10
00
01
10
00
01
11
00
11
11
01
00
11
00
00
00
10
00
10
10
01
00
01
10
01
10
11
00
10
10
01
10
10
00
10
01
11
01
00
00
11
00
10
11
00
00
10
10
00
00
10
11
10
00
01
00
11
10
01
01
01
11
10
00
01
00
11
10
00
00
10
10
11
10
01
10
01
11
10
10
00
10
01
10
11
11
11
01
01
10
01
10
11
01
10
10
00
11
11
01
00
00
10
00
00
11
01
01
10
00
10
01
11
01
00
11
01
11
10
00
00
00
00
00
01
10
11
00
00
00
10
11
00
00
11
10
00
00
00
10
00
00
10
00
00
10
10
10
00
10
01
00
11
00
10
10
10
10
01
10
11
10
10
00
10
10
00
00
00
00
10
10
11
00
10
01
10
01
10
00
11
00
11
10
11
10
10
10
10
01
00
11
10
01
00
01
10
01
11
10
01
00
10
11
01
00
01
00
00
01
01
10
11
00
10
00
11
00
10
10
00
00
10
00
11
10
00
10
01
10
01
00
00
00
01
10
01
00
10
00
10
00
00
00
10
10
00
11
00
00
00
10
11
01
11
11
01
11
10
01
00
11
01
00
11
10
10
01
01
00
01
11
10
00
11
11
11
00
10
11
00
11
11
10
00
00
01
11
00
00
00
10
10
10
00
10
10
00
10
11
10
11
10
11
10
10
11
00
10
11
00
01
10
00
10
01
00
10
11
01
10
11
00
01
00
01
10
00
10
10
10
11
10
11
01
10
10
00
10
00
11
01
00
10
11
10
11
10
01
00
10
10
00
11
10
10
00
10
01
00
10
11
01
00
10
00
01
00
10
10
00
11
01
00
10
11
10
00
11
01
10
11
11
00
11
01
01
10
11
01
00
00
10
10
01
00
00
10
11
00
01
11
00
01
10
11
10
10
00
00
00
10
00
00
01
10
00
00
01
10
11
00
01
10
11
11
01
00
10
01
10
10
00
10
11
00
00
10
00
00
00
00
11
11
01
01
01
00
10
01
00
10
01
00
10
11
10
11
01
10
10
10
10
11
00
01
01
10
00
11
10
11
00
00
11
00
01
10
00
00
10
00
10
11
00
11
10
11
00
00
01
10
00
10
01
00
11
11
10
11
00
00
01
11
11
11
01
01
00
11
00
01
00
10
10
00
00
11
11
01
00
10
10
01
10
10
10
00
10
11
00
01
10
10
10
00
00
00
00
10
10
00
10
11
00
00
00
01
10
10
00
10
00
10
10
01
11
11
01
10
10
01
01
00
00
00
10
10
10
11
01
00
00
10
00
10
10
00
01
11
01
10
10
00
00
00
11
10
00
01
10
00
01
01
00
11
11
11
10
11
10
10
10
00
00
00
11
11
10
00
10
10
01
01
10
00
00
10
11
11
11
00
01
10
10
00
10
00
10
10
01
01
11
00
01
00
00
00
00
11
11
00
01
01
01
01
00
00
10
01
01
01
10
10
11
10
10
01
00
11
10
01
00
10
10
10
00
01
00
10
00
10
10
00
01
00
10
10
11
10
00
00
00
11
11
00
11
10
01
10
01
00
10
10
00
01
11
10
10
10
11
10
00
00
10
10
10
11
00
01
10
10
10
11
10
10
00
00
01
10
00
00
01
01
11
11
11
10
10
10
00
00
00
01
10
10
10
01
10
00
11
10
00
10
00
01
11
10
10
11
11
11
01
10
10
00
10
00
00
10
10
10
11
00
11
10
10
10
01
01
00
10
10
00
10
00
01
11
10
10
00
10
00
00
10
11
01
01
00
10
10
00
00
01
11
11
11
00
01
00
00
10
00
00
10
11
11
10
00
10
11
10
00
00
10
00
00
10
00
10
11
00
00
01
00
10
11
01
10
00
00
10
11
00
10
10
01
11
10
00
10
01
10
10
00
00
11
11
10
00
00
10
00
01
10
10
10
10
10
00
11
10
00
00
11
00
10
01
11
01
00
10
00
00
10
10
10
00
00
00
10
10
11
01
11
10
00
00
00
10
10
01
00
11
11
10
11
00
10
10
00
10
10
00
10
10
10
11
00
00
10
10
01
00
00
00
00
00
10
10
10
00
01
11
11
00
01
00
01
01
10
00
10
11
10
11
01
00
10
11
00
00
11
11
11
10
10
01
00
10
00
00
11
10
01
00
11
10
00
00
10
10
01
10
10
10
00
11
00
00
00
00
10
01
00
10
00
00
10
01
10
10
01
10
10
10
10
00
01
11
10
01
11
10
00
10
00
00
01
10
10
10
01
10
11
01
01
10
00
10
10
00
00
01
00
10
10
10
10
10
11
10
11
10
01
01
11
01
00
10
10
00
11
01
00
10
00
11
10
00
00
01
10
11
00
01
10
01
10
11
10
01
00
10
10
00
00
10
11
00
01
01
11
11
11
10
10
00
00
10
10
01
00
10
10
10
00
11
00
00
00
00
00
00
10
11
11
01
01
10
00
10
11
11
00
01
10
10
11
01
11
10
01
00
10
11
10
00
00
10
11
00
00
10
01
10
00
00
00
01
10
11
00
10
10
01
00
11
10
10
01
00
00
10
00
00
11
00
00
10
01
00
00
00
10
00
00
00
11
10
01
10
01
10
10
00
11
10
00
00
11
11
00
10
11
10
01
00
10
00
00
10
11
00
10
10
10
00
01
00
00
00
10
10
01
00
01
00
00
10
10
01
00
10
10
00
01
11
11
00
10
11
00
11
00
00
00
00
00
01
11
10
10
10
00
01
11
10
00
00
10
01
10
01
11
01
00
10
11
10
01
11
01
01
11
01
10
10
00
00
11
01
00
10
00
11
10
01
00
10
10
00
00
00
10
10
10
11
11
01
00
10
00
00
01
00
00
10
10
00
10
10
00
00
01
01
10
10
10
00
00
00
10
10
11
10
10
11
00
00
10
00
01
00
01
00
11
01
01
11
10
10
10
10
00
00
11
10
00
01
00
01
01
01
01
01
00
10
00
11
11
00
00
10
10
10
01
00
11
01
01
11
11
00
11
11
00
11
01
00
11
01
10
10
10
00
00
10
01
00
11
10
00
10
00
00
10
11
00
00
01
11
00
11
11
00
01
01
11
10
10
00
11
01
00
11
10
10
11
10
00
00
11
10
00
00
10
00
10
00
00
11
00
11
00
00
00
11
11
01
11
10
11
00
10
00
00
10
10
10
11
00
00
11
00
10
01
10
10
00
01
00
10
10
00
00
11
01
11
01
00
01
10
00
00
10
10
00
11
11
11
01
01
00
10
10
11
01
01
11
10
10
00
10
11
00
01
10
11
01
00
00
01
01
10
10
00
10
01
11
11
10
11
01
00
00
00
01
10
10
00
00
00
10
00
10
10
10
00
00
10
01
01
10
10
10
10
00
10
10
00
11
10
10
11
10
10
01
01
00
00
01
11
11
00
00
00
10
10
00
11
10
01
01
01
00
00
11
01
00
11
00
10
10
00
10
11
00
01
10
00
10
10
00
00
10
10
00
00
11
00
10
10
00
01
01
10
01
10
10
11
10
11
10
10
00
00
11
10
00
01
11
11
10
11
11
10
00
11
00
00
10
10
00
00
10
01
10
11
10
10
11
00
00
10
00
01
11
11
10
01
00
00
00
00
10
10
10
00
00
10
11
10
10
00
01
00
10
01
01
11
00
11
10
10
00
11
00
01
11
01
01
00
00
11
01
10
11
10
00
01
01
11
00
10
11
10
00
00
10
10
11
00
00
11
01
00
01
11
10
11
00
00
11
10
00
11
01
00
01
10
10
10
11
11
01
00
10
10
10
10
01
00
10
00
00
10
10
00
10
00
00
01
10
10
00
01
01
10
10
00
11
10
00
00
00
00
10
10
01
10
00
10
00
00
01
00
10
10
10
01
10
00
01
01
10
11
10
00
00
11
10
01
01
11
00
01
10
00
00
10
10
01
00
00
10
10
10
01
00
00
10
00
01
10
11
10
10
00
01
01
01
11
11
00
10
10
01
10
10
00
00
10
10
01
00
11
10
00
11
00
11
10
10
01
11
10
00
11
11
00
00
00
10
10
01
00
10
00
01
11
00
10
10
00
00
11
00
01
00
10
10
00
00
10
01
01
10
10
10
10
01
01
01
10
00
00
00
00
11
11
00
10
00
01
01
10
00
00
10
11
00
10
10
01
11
01
11
11
00
10
10
01
10
11
00
00
00
00
10
00
10
10
01
00
01
01
10
10
11
00
00
11
11
00
10
10
01
01
01
01
00
10
00
11
10
00
10
10
10
00
10
10
01
00
01
00
01
01
10
00
10
00
00
01
10
10
11
00
10
11
00
00
11
00
00
01
00
00
10
01
00
10
00
10
10
11
00
10
00
01
11
01
00
00
10
01
00
00
00
10
00
00
10
10
10
00
01
00
00
01
10
01
00
10
11
01
01
01
01
11
00
11
00
00
10
01
00
10
10
01
10
00
11
10
01
10
00
10
10
00
01
10
11
10
10
10
00
00
00
00
11
10
01
00
10
01
11
10
10
10
01
00
10
10
11
11
10
00
00
00
00
10
00
10
10
10
10
01
00
10
01
00
00
00
11
10
10
01
00
00
00
01
01
10
00
01
10
01
10
10
10
00
01
11
10
01
01
00
11
00
00
01
11
11
00
10
10
11
10
00
10
11
00
00
00
10
10
10
00
00
11
01
00
00
10
10
11
01
10
10
10
11
10
10
00
10
01
00
01
11
10
00
10
11
00
00
11
01
00
10
10
10
10
00
10
10
10
00
00
01
10
10
00
10
00
01
10
00
00
10
01
10
10
11
01
01
10
00
00
00
10
10
00
00
00
11
10
01
01
10
00
00
10
11
10
00
11
00
11
10
11
11
10
00
00
00
10
11
10
01
00
11
00
01
01
00
00
10
01
00
11
10
01
00
00
10
00
01
00
00
11
11
10
01
00
00
00
00
01
10
10
10
00
00
00
11
00
00
00
00
10
10
00
00
10
11
01
11
10
10
10
00
00
10
00
10
11
00
00
10
11
00
00
11
01
10
10
00
00
00
00
00
10
10
00
00
00
10
01
10
01
01
01
01
01
10
10
00
01
00
10
11
11
10
01
00
10
10
01
00
01
11
11
10
01
10
11
10
11
10
00
10
10
11
01
11
10
01
00
00
01
00
10
11
01
00
01
00
10
10
00
01
01
00
10
01
01
01
00
10
00
11
10
10
10
00
00
00
00
00
10
10
00
00
10
11
01
10
11
00
00
11
01
00
11
10
00
10
10
00
00
10
00
00
10
10
10
11
00
11
10
00
00
00
11
00
10
10
00
00
10
01
10
00
10
01
01
10
10
11
01
10
00
01
10
10
11
10
01
10
10
01
00
11
10
01
00
01
00
00
10
10
10
00
10
10
01
01
00
10
11
11
01
10
01
10
00
11
10
00
00
00
11
10
00
01
11
00
00
10
00
11
00
10
10
01
00
00
01
10
00
10
10
00
01
10
00
00
11
10
01
00
00
00
10
10
00
01
10
11
10
01
00
10
00
01
00
10
01
00
10
10
11
01
10
00
00
11
11
10
00
00
00
01
10
10
10
01
11
11
00
00
10
11
11
11
01
00
10
01
01
11
00
00
10
11
10
11
10
00
00
01
10
10
11
00
10
10
10
00
00
11
11
10
00
01
10
10
01
00
11
00
10
00
10
11
10
01
01
10
00
00
11
00
10
10
10
00
01
01
00
11
10
01
10
00
00
00
10
11
00
11
10
11
01
10
10
10
00
10
10
00
00
11
10
10
10
01
01
11
10
11
10
10
00
00
10
10
01
00
00
11
00
00
00
10
10
00
10
11
10
00
00
00
10
10
10
10
01
00
01
11
00
10
10
10
01
10
10
00
10
10
10
00
00
00
00
10
10
00
11
10
00
00
00
10
00
00
10
00
00
00
10
01
00
11
01
10
00
10
00
01
00
11
10
00
11
00
00
01
00
10
11
10
10
00
11
10
10
11
00
00
11
10
11
00
00
10
10
11
10
10
01
00
00
10
00
10
11
11
01
01
10
00
11
00
11
10
01
00
10
00
11
10
10
00
01
01
11
10
00
00
10
11
11
11
00
00
00
10
10
00
10
11
00
10
00
00
10
01
10
01
00
10
00
10
01
11
00
01
10
00
10
00
10
10
10
00
10
10
00
00
11
10
00
10
10
00
10
10
00
00
10
01
01
11
11
10
01
00
01
10
11
10
10
01
00
01
11
01
01
00
11
10
00
10
11
00
01
00
10
10
00
10
00
00
11
10
00
10
10
11
11
10
00
10
11
01
00
10
10
00
01
11
00
01
10
01
00
11
11
10
00
01
00
11
00
00
01
10
10
10
11
00
10
10
10
01
00
10
00
01
11
01
10
10
11
00
01
10
10
01
00
11
10
11
00
10
00
11
00
00
11
10
00
00
11
01
01
01
10
00
01
11
10
00
00
10
10
11
00
10
00
00
01
01
00
11
01
00
01
10
10
01
00
10
00
11
10
11
10
11
00
00
00
00
00
00
11
10
11
00
00
00
00
10
10
11
00
01
10
00
01
00
10
10
10
11
01
00
11
10
11
10
00
00
00
00
10
01
11
00
00
10
11
00
01
00
10
00
00
10
11
10
00
10
00
10
10
01
11
11
01
00
00
10
10
10
11
11
00
00
11
01
11
00
01
00
01
10
00
00
10
10
00
10
10
00
01
01
00
00
11
11
01
10
10
00
01
00
00
10
10
00
00
00
10
11
11
00
01
00
01
10
00
11
10
00
00
10
10
00
10
11
10
00
00
11
10
10
10
00
10
00
00
11
00
01
10
11
00
00
11
11
11
00
00
10
00
01
10
10
10
10
10
10
10
00
11
10
00
01
10
01
10
00
00
10
00
11
11
00
00
01
00
11
00
11
00
10
10
11
11
11
10
00
10
10
00
10
11
10
10
01
11
10
10
00
01
11
00
10
00
00
00
01
11
10
10
01
10
10
10
01
11
01
00
10
01
10
10
00
10
00
10
01
10
00
00
00
00
10
11
10
00
10
00
01
00
00
11
00
00
01
10
10
10
01
10
11
01
01
00
00
00
00
00
00
11
00
11
00
00
00
00
00
11
00
00
10
00
10
10
10
11
01
10
00
10
00
10
11
01
00
00
00
10
01
00
10
10
01
00
10
00
01
11
00
10
00
01
11
00
11
00
11
11
11
01
00
10
10
10
00
00
10
01
00
11
10
00
10
00
00
11
01
00
01
10
11
11
01
01
10
01
10
01
01
11
10
11
10
00
10
00
00
00
10
10
11
01
10
01
10
10
11
00
10
11
01
00
00
11
00
00
00
11
10
11
00
10
10
11
10
01
00
01
10
00
10
00
00
10
00
11
10
00
01
10
01
10
00
10
00
00
11
00
01
00
11
10
11
00
00
00
00
01
10
10
00
00
00
11
10
10
00
00
11
00
00
11
10
01
00
11
00
10
00
01
10
00
00
10
10
01
00
11
10
11
01
00
10
00
00
10
10
00
00
00
11
10
10
11
10
10
00
00
00
11
10
11
11
10
10
00
01
00
00
01
00
01
00
01
10
10
01
10
10
00
11
10
10
01
00
11
11
01
00
11
00
01
11
00
00
10
10
10
00
00
10
01
00
10
00
00
00
10
11
11
11
00
10
10
00
00
10
10
00
00
10
11
10
10
00
00
11
01
00
00
01
10
01
10
00
01
00
00
00
01
11
00
00
11
01
00
00
10
00
10
10
00
01
10
10
01
10
10
00
10
00
00
01
10
10
11
10
00
00
00
10
01
00
10
01
11
10
00
10
00
01
10
01
00
00
10
00
10
00
01
10
10
00
00
01
01
11
10
11
00
10
10
00
11
10
01
00
10
00
00
10
00
11
10
00
10
10
00
00
00
00
10
11
11
01
11
00
00
11
00
00
10
10
00
00
10
01
01
01
11
11
00
10
01
00
01
10
10
00
00
11
01
00
11
10
00
01
10
10
11
11
00
10
10
01
01
10
11
00
00
11
00
10
10
00
01
00
00
00
11
10
00
10
00
10
00
01
10
11
00
00
11
00
01
00
10
10
01
10
11
11
00
01
10
10
00
01
10
10
01
01
11
11
01
10
00
00
11
01
01
10
10
00
00
10
00
01
10
01
00
10
11
10
11
10
00
00
01
10
01
10
10
00
10
10
00
10
10
00
00
11
11
00
00
00
10
11
10
10
11
00
01
10
00
00
00
10
10
11
00
00
10
00
10
00
00
10
10
11
10
10
00
00
00
01
11
00
10
00
00
10
11
10
00
10
00
10
10
00
00
10
00
00
00
11
11
00
11
10
00
11
00
01
10
00
10
10
00
00
10
01
10
10
00
10
10
00
11
10
00
00
00
10
00
00
00
01
11
11
00
01
01
00
11
11
00
01
10
10
10
00
10
00
01
10
10
00
00
00
10
00
10
00
00
10
00
10
10
00
01
11
01
00
10
10
00
00
10
00
00
10
01
00
11
10
00
11
01
10
00
11
11
10
01
10
11
10
00
00
00
10
10
10
00
00
11
00
10
11
10
11
01
10
00
00
01
01
11
10
11
00
01
00
10
10
00
01
10
11
10
10
00
01
00
01
01
11
11
10
01
10
10
10
01
00
10
10
00
00
01
01
10
00
10
11
10
00
01
11
01
10
10
00
01
01
10
10
10
01
00
00
00
11
11
01
00
10
01
01
01
11
11
00
10
10
00
00
01
11
11
01
00
10
01
11
01
00
10
10
10
00
11
01
11
10
00
00
00
11
10
11
10
00
11
10
00
01
01
11
00
00
11
11
00
10
10
00
10
00
11
00
10
10
00
00
11
10
10
00
01
10
10
10
00
10
01
00
01
01
00
01
11
10
01
01
10
00
11
11
01
00
00
00
10
11
00
11
01
00
01
00
00
00
10
10
10
01
00
11
10
01
00
10
00
00
11
10
00
10
11
00
10
10
10
00
00
00
10
00
10
11
10
11
01
01
00
10
00
00
00
11
00
00
11
10
00
00
10
11
10
00
10
00
10
00
00
11
00
10
10
10
10
01
10
01
01
11
00
10
01
10
11
00
00
00
11
10
10
00
10
10
01
00
10
10
01
10
00
00
00
01
10
01
10
10
01
00
10
10
11
11
11
01
01
00
00
10
00
00
10
10
11
00
00
11
00
00
10
00
10
00
00
10
00
01
11
10
10
01
10
11
11
10
00
01
00
10
00
00
10
10
00
10
11
00
11
00
01
10
00
01
00
00
11
10
00
00
10
11
11
11
11
10
01
01
10
11
00
00
00
11
10
01
10
11
00
00
11
10
10
00
01
11
00
01
01
00
00
01
00
10
10
00
00
11
11
01
00
11
00
11
10
10
10
00
00
10
10
10
00
10
00
01
10
10
10
11
10
10
00
01
01
10
00
01
00
11
01
11
00
00
01
00
00
10
11
00
10
10
01
10
10
10
10
00
01
00
00
00
10
00
11
01
01
11
10
10
00
10
10
01
01
10
10
00
00
11
00
00
10
01
00
01
11
10
01
10
11
01
00
10
10
11
00
00
00
10
00
10
00
00
00
11
01
01
11
00
10
00
10
10
10
01
00
10
01
00
11
10
00
11
01
01
01
10
11
10
00
10
10
00
01
11
10
10
10
11
01
11
11
00
00
00
01
11
00
10
11
00
10
10
11
10
00
11
10
11
00
01
01
00
00
10
10
10
01
10
10
00
10
10
00
00
11
00
10
11
00
10
10
00
00
00
01
10
00
00
11
10
00
10
00
11
11
10
00
10
00
00
01
11
11
11
10
11
00
11
01
00
10
00
00
00
10
10
01
01
00
00
10
01
11
11
01
01
00
10
11
11
00
01
10
10
10
10
01
00
01
10
11
00
01
10
00
10
10
10
00
10
10
10
10
10
00
00
01
11
00
10
00
10
10
10
00
00
11
01
00
00
11
00
00
00
10
10
10
11
11
00
11
00
10
10
10
00
00
11
10
11
01
00
01
00
11
00
10
00
10
10
00
00
11
10
10
10
00
11
01
01
01
11
10
10
01
00
11
10
00
00
10
00
01
00
11
10
00
00
10
10
10
11
00
01
10
01
01
00
00
10
00
10
10
00
10
10
10
00
00
00
11
01
00
11
00
10
00
10
10
01
01
10
00
10
10
01
01
00
10
11
00
11
10
10
10
00
11
10
10
01
00
00
10
10
10
00
00
11
10
00
10
11
11
11
11
10
01
00
11
10
10
00
01
00
11
01
11
00
01
00
11
00
00
10
10
00
10
00
01
00
10
10
10
00
10
01
01
10
11
11
00
01
10
00
10
10
00
10
11
01
00
00
00
10
10
00
11
11
00
00
01
10
10
01
01
00
10
00
11
00
00
10
00
00
00
00
10
10
10
00
01
10
00
10
10
11
00
01
11
00
00
11
01
00
10
10
01
00
10
10
10
10
11
10
00
00
01
01
10
10
01
10
00
01
10
11
00
00
00
10
10
00
10
10
00
00
10
10
01
10
00
11
10
00
10
11
01
00
01
10
10
00
00
01
10
01
01
00
10
01
00
10
10
00
00
10
10
00
11
10
11
10
10
11
00
00
00
00
11
10
00
11
00
00
10
01
01
10
10
10
01
10
01
00
00
10
10
01
11
11
00
01
10
10
00
10
00
01
00
10
10
10
00
01
11
10
11
01
11
01
11
01
01
11
01
00
10
11
01
01
10
10
01
11
11
10
01
01
00
00
11
00
00
00
10
11
01
10
00
01
10
00
10
10
00
00
01
10
01
00
10
10
00
10
10
10
01
11
11
00
01
01
00
10
00
00
00
00
10
01
10
01
11
00
00
10
10
00
11
10
11
11
00
10
01
00
00
00
01
01
00
00
10
10
00
01
11
00
00
11
00
00
10
11
10
11
10
01
00
11
00
11
10
00
00
11
00
11
00
00
01
11
01
01
01
10
11
00
10
01
00
11
00
00
10
10
00
11
00
00
11
01
00
10
10
00
00
10
10
10
01
00
01
10
11
01
10
10
10
00
00
00
01
10
10
11
10
01
10
00
01
11
00
11
10
01
00
10
11
00
10
11
10
10
10
00
01
10
10
00
00
00
00
10
11
01
01
00
01
00
00
00
00
10
10
00
00
11
11
01
10
11
10
10
00
00
00
00
10
11
11
00
10
00
00
00
00
10
10
00
00
00
11
10
01
00
10
10
00
11
10
01
00
01
10
11
00
00
10
01
01
10
00
00
00
10
00
00
10
11
00
10
10
00
00
10
01
00
00
10
10
00
11
00
00
11
10
11
10
00
11
10
10
10
10
01
00
11
00
01
00
11
00
11
10
00
01
00
10
10
10
00
00
01
00
00
10
10
00
01
00
11
00
10
01
10
00
10
01
00
10
10
00
10
11
11
00
00
00
00
00
01
10
10
01
00
01
11
00
01
11
00
00
11
01
01
00
11
00
10
01
01
11
00
10
11
10
10
00
10
00
10
10
00
10
01
11
00
10
00
10
11
00
11
10
10
01
01
10
10
00
01
10
10
11
11
01
01
10
00
00
01
00
01
10
11
00
00
10
01
10
11
00
00
10
00
11
11
01
00
01
10
10
10
11
11
00
01
00
11
10
00
00
00
01
11
00
10
10
00
00
00
10
10
00
11
10
11
10
00
00
11
10
00
10
10
10
10
01
10
01
00
11
10
00
00
00
10
11
11
10
01
10
10
11
00
00
00
00
01
00
10
10
01
00
11
11
10
10
10
00
00
10
01
11
11
00
10
10
10
00
00
10
11
00
11
10
00
01
00
11
10
11
10
11
10
01
00
11
00
00
10
10
11
01
00
10
11
00
10
10
00
00
00
00
10
10
00
11
10
00
10
10
01
00
00
11
10
01
10
10
00
10
10
10
00
00
10
10
10
10
00
00
10
10
01
01
01
00
11
10
00
01
10
11
01
11
10
10
00
11
10
11
00
00
10
10
00
01
10
00
10
11
00
00
10
11
00
00
01
00
11
10
10
10
01
10
11
11
00
10
11
01
00
00
00
11
10
00
11
10
11
10
00
00
10
10
00
00
10
10
10
10
00
01
00
01
01
10
00
01
01
00
00
10
10
00
10
01
00
01
00
00
10
10
00
00
10
10
00
11
00
01
10
00
00
11
00
10
11
00
10
01
10
00
10
10
11
01
00
00
10
00
10
00
00
10
10
01
00
11
01
10
00
01
01
00
10
00
10
11
10
00
10
10
10
10
00
10
00
00
10
11
11
00
01
00
11
10
01
00
00
00
11
10
01
00
11
10
00
01
00
10
01
11
10
01
10
11
01
01
10
10
00
10
01
00
10
10
00
00
01
00
00
11
00
00
11
00
10
00
00
10
00
00
10
00
01
10
00
11
10
00
00
00
00
00
10
10
11
01
00
10
00
01
00
00
11
00
11
01
10
00
10
10
11
00
01
11
00
00
00
00
10
01
01
10
10
11
01
01
10
00
10
11
10
10
00
00
00
10
00
00
00
01
10
10
01
11
00
11
01
10
00
11
10
00
10
01
00
00
10
11
01
10
01
00
01
11
00
10
00
11
10
00
00
01
10
10
10
10
10
00
10
10
00
10
00
00
10
10
10
00
01
00
01
10
00
10
11
10
11
10
00
01
00
00
10
01
00
10
00
01
11
11
10
00
11
01
00
10
10
10
11
00
00
10
10
00
01
10
10
10
10
01
11
01
10
00
11
10
00
10
00
10
10
00
10
10
01
11
00
00
00
10
00
00
10
11
10
10
10
00
10
01
01
10
10
10
01
00
00
00
00
10
01
01
00
01
00
11
00
10
10
10
01
00
00
01
00
11
01
10
01
11
11
11
10
01
10
10
00
10
10
00
11
01
00
11
10
00
00
01
01
10
10
00
00
10
01
10
11
00
10
10
01
10
10
01
00
10
10
10
11
10
00
00
00
00
01
11
00
10
01
11
11
01
10
00
10
00
00
10
10
01
11
01
10
00
10
00
11
10
10
01
00
10
10
10
00
01
00
11
01
01
00
01
10
10
11
00
00
10
10
00
10
00
01
10
00
01
11
10
10
00
11
10
01
00
11
10
10
10
00
11
00
00
11
11
00
10
00
00
10
10
10
01
10
01
10
11
00
11
00
10
10
00
10
10
10
11
01
01
00
01
01
10
01
10
11
01
00
10
01
00
00
00
10
10
10
11
10
01
10
00
11
10
11
10
00
01
01
00
11
10
01
01
00
00
00
10
01
10
10
10
00
01
10
10
01
00
11
00
10
10
00
00
10
00
11
00
01
01
11
10
00
01
00
11
11
00
01
00
11
11
00
00
11
10
01
00
11
10
10
01
00
11
10
10
01
00
11
00
11
10
00
11
10
01
00
00
00
00
01
10
00
01
10
10
10
10
11
11
00
11
00
00
00
10
10
01
00
00
01
00
10
00
11
10
00
00
00
10
00
10
10
10
01
00
10
00
01
10
01
10
00
00
10
10
01
00
10
10
00
01
10
01
10
10
10
01
10
10
10
00
11
10
00
00
01
10
00
10
10
11
10
11
00
10
10
00
00
11
00
01
11
00
10
00
11
11
01
00
00
10
10
01
00
01
10
10
00
01
10
10
00
10
10
00
10
10
00
11
11
00
01
11
01
00
00
00
10
00
01
11
11
10
10
00
00
00
11
11
01
11
11
00
10
00
01
00
10
10
00
00
10
00
01
10
00
11
11
00
00
01
10
10
01
01
10
01
00
10
01
10
00
10
00
01
11
00
10
10
11
01
11
01
10
00
11
10
00
11
11
00
01
00
11
10
01
00
01
10
10
01
00
10
00
00
00
00
11
00
10
10
01
00
10
00
10
11
01
00
11
10
10
01
00
11
10
00
01
00
00
11
10
00
00
10
00
10
10
00
11
01
00
01
10
01
00
11
10
10
10
01
01
01
10
10
11
00
00
00
10
10
01
00
10
10
10
10
11
01
00
00
01
11
10
10
00
01
01
10
10
11
00
10
00
00
00
00
00
00
00
10
00
01
00
10
10
00
11
10
00
10
00
01
10
00
11
00
00
00
00
00
10
01
11
00
01
00
00
10
10
01
10
00
00
10
00
10
01
00
11
11
10
10
00
10
10
10
00
01
11
00
10
10
11
00
11
10
10
10
10
10
10
10
00
11
10
01
00
00
11
01
10
10
11
10
10
00
00
00
00
00
11
00
01
11
10
00
11
11
01
01
10
11
10
10
10
01
10
10
01
00
10
10
11
01
00
00
10
10
10
11
00
10
00
10
00
00
00
10
00
11
10
00
10
00
01
00
10
01
01
10
00
11
00
11
10
01
10
01
10
10
10
01
01
00
10
11
00
00
10
10
11
10
01
00
10
10
10
11
01
01
00
00
10
10
10
10
11
01
01
10
10
00
10
11
01
00
10
10
00
10
10
00
10
00
00
10
00
10
10
00
11
01
00
10
00
00
11
11
10
00
11
01
00
00
01
10
10
01
10
01
10
10
00
00
00
10
10
00
11
11
00
10
11
11
10
01
00
01
10
11
01
00
11
01
10
00
10
10
10
10
00
10
00
00
00
01
11
10
10
10
01
00
01
10
10
00
00
10
01
00
10
00
00
00
00
11
11
10
01
00
00
00
01
01
10
11
00
10
11
00
01
11
10
00
10
00
11
00
01
01
00
10
00
01
11
11
10
01
00
10
00
00
10
00
00
10
10
00
10
00
10
10
00
11
00
00
10
10
01
01
00
00
00
10
10
00
10
10
00
10
00
11
10
10
01
00
01
10
10
01
10
11
00
00
11
10
00
10
01
10
11
11
10
01
00
10
11
00
01
00
01
10
00
01
10
00
10
11
00
00
01
11
00
01
11
00
00
10
01
01
11
10
10
00
01
10
00
00
11
10
00
00
10
11
01
00
00
10
10
11
00
10
00
00
00
00
00
10
10
11
11
11
00
00
11
01
10
10
00
01
00
10
11
01
01
10
00
10
10
00
00
10
10
10
11
11
00
00
10
01
00
10
10
00
01
11
10
11
01
10
10
10
11
10
01
00
10
00
00
00
11
10
00
00
00
11
10
10
00
00
00
10
00
10
10
10
01
10
00
00
11
01
00
00
00
10
10
11
01
00
10
00
00
11
10
10
11
00
00
10
00
11
10
11
00
10
10
00
10
01
00
11
00
01
10
00
00
00
00
00
10
10
01
00
10
10
00
00
10
00
01
00
01
01
11
11
00
00
00
00
01
11
11
11
10
00
10
10
01
01
11
10
00
10
10
10
10
10
00
01
00
11
11
11
01
00
10
00
10
01
01
00
01
11
11
11
01
10
00
10
11
01
00
11
10
11
10
00
00
11
10
10
00
00
11
00
10
10
00
01
11
01
00
00
11
11
10
11
10
00
11
01
10
00
00
10
11
00
00
10
11
10
01
00
10
10
10
11
11
01
00
01
00
00
10
00
10
10
00
01
00
11
01
11
11
11
11
00
11
10
10
00
00
10
10
00
00
00
00
11
10
00
10
00
00
11
10
00
01
11
10
11
01
10
10
10
11
00
10
00
00
10
00
10
01
01
11
00
00
10
11
00
00
00
11
10
10
00
00
10
10
01
11
00
01
00
10
10
01
10
10
10
01
01
00
10
10
10
10
00
00
11
10
00
11
01
10
10
01
01
11
10
00
01
01
01
10
11
01
10
10
00
00
00
10
10
11
01
11
10
00
00
10
00
00
11
10
10
10
10
01
11
10
01
10
10
11
10
00
00
01
10
10
10
01
10
00
01
10
00
01
00
10
10
10
00
01
01
11
10
01
01
10
00
00
11
10
01
00
00
10
10
00
00
11
10
11
10
11
10
10
11
00
01
11
00
00
00
01
10
11
00
00
11
11
00
00
00
10
10
01
10
10
10
00
11
11
00
00
11
00
01
10
11
00
00
10
01
00
11
10
00
00
10
10
10
00
00
10
00
10
10
00
10
00
00
00
11
10
00
11
10
10
10
10
01
11
00
10
11
00
10
10
01
00
11
11
01
10
10
00
10
10
01
11
10
00
00
10
10
10
00
01
10
00
11
00
10
00
01
10
00
11
00
00
10
00
01
00
10
00
10
10
00
01
10
10
00
10
01
10
00
10
01
10
11
10
11
10
00
10
00
11
11
11
00
00
10
00
00
11
10
00
00
01
11
10
11
10
01
11
10
10
01
00
10
00
00
01
00
10
11
10
10
11
10
01
11
00
00
10
10
10
10
11
00
01
00
00
10
01
01
10
00
10
10
00
10
00
01
10
01
10
10
10
10
00
00
10
11
00
10
10
00
01
00
00
11
01
01
00
10
10
00
10
00
00
10
10
00
01
00
00
01
10
10
00
00
10
00
11
11
00
00
00
10
00
00
11
10
01
00
00
10
01
00
11
00
00
00
10
10
00
00
10
10
00
10
00
00
00
01
10
10
00
00
10
10
10
00
10
10
00
00
11
01
01
11
11
01
11
01
00
10
00
01
11
11
01
01
00
11
00
00
10
10
00
00
11
00
11
10
00
10
01
00
11
10
00
11
10
10
00
11
10
10
10
00
10
01
01
00
11
01
00
10
01
10
10
00
00
10
00
00
10
00
10
01
00
11
10
10
10
00
00
01
10
11
00
11
11
11
00
10
10
01
10
10
00
10
10
01
11
11
11
11
01
01
00
11
10
00
11
00
00
11
10
00
11
10
00
00
00
10
00
01
11
01
10
00
00
00
00
01
00
10
10
01
00
01
10
00
01
01
11
10
10
00
11
10
10
10
10
00
11
11
00
00
10
10
00
10
01
01
00
10
00
10
00
00
10
00
01
10
10
10
10
00
11
10
10
10
00
00
00
10
00
01
00
11
11
11
00
00
00
00
10
00
11
10
10
10
00
11
00
10
11
00
00
00
00
00
00
11
01
10
11
01
11
00
11
10
10
01
00
00
01
11
11
00
10
10
11
01
10
10
00
00
00
00
10
10
10
00
01
11
00
10
00
00
00
00
10
00
10
00
00
10
10
00
10
10
00
10
11
01
00
01
01
11
01
11
00
01
00
11
10
01
00
10
10
00
11
10
10
00
10
10
00
00
11
01
00
10
11
10
10
00
00
10
10
01
01
11
01
10
01
11
10
10
10
00
11
10
01
01
11
01
10
10
11
10
00
01
10
01
10
10
11
10
00
00
00
10
01
00
00
10
11
11
10
01
10
01
10
10
01
10
10
00
00
11
00
00
01
01
10
10
11
00
00
10
01
10
11
00
00
10
10
00
01
11
10
01
00
10
00
10
01
11
00
00
10
00
10
01
00
10
11
00
00
10
10
01
10
10
00
10
00
10
11
00
10
10
00
10
10
01
01
10
11
10
11
11
01
10
10
11
00
10
10
01
00
11
00
10
00
00
11
11
10
00
01
00
01
00
10
11
01
11
10
00
00
11
00
00
00
10
00
00
10
10
10
11
00
11
10
00
00
11
11
00
11
11
10
00
10
01
01
10
10
00
10
10
00
11
01
01
00
00
00
10
11
10
00
10
10
11
10
10
10
00
10
01
10
00
01
00
11
00
10
10
01
10
10
01
00
00
00
10
00
01
00
11
00
00
10
00
11
00
11
00
10
10
00
00
10
10
11
00
10
11
10
01
10
01
00
10
10
11
10
01
00
00
11
00
00
11
11
10
10
10
00
10
01
01
01
11
10
11
01
11
11
00
01
10
01
01
10
00
10
00
00
00
10
00
00
00
11
00
10
11
00
11
10
10
01
00
10
00
11
11
10
00
00
10
01
11
10
01
00
00
00
10
11
00
00
11
10
10
10
00
00
10
00
00
00
11
00
00
01
00
01
00
00
10
10
00
10
00
11
00
11
10
01
01
10
00
00
00
10
10
01
10
10
10
10
11
01
01
00
01
00
10
11
00
10
10
01
10
10
11
00
10
10
10
10
10
10
10
00
00
10
00
01
00
10
00
00
00
00
10
00
01
10
11
00
01
00
10
11
10
01
01
00
01
10
01
10
00
00
10
11
00
01
11
11
10
11
10
10
10
00
00
10
01
10
10
10
10
10
00
01
10
11
10
00
10
10
11
10
01
10
10
00
00
10
00
00
10
11
01
00
11
10
00
01
10
10
10
00
11
10
00
10
00
00
01
11
11
10
01
00
01
10
00
01
10
10
01
10
10
00
10
10
10
11
10
00
01
01
00
10
10
00
00
00
10
11
10
00
00
00
01
10
01
11
11
11
10
00
00
10
10
01
01
00
01
00
00
01
10
10
01
01
10
01
10
00
10
10
11
10
11
10
10
00
11
01
01
10
10
11
00
00
10
11
00
00
10
00
01
11
10
10
01
00
11
00
00
11
10
00
00
01
10
10
10
00
00
10
11
11
10
00
01
00
10
11
11
00
11
01
01
01
10
01
11
10
11
10
00
00
00
10
11
11
00
10
00
00
11
10
00
00
00
11
00
10
10
10
10
01
10
11
01
00
01
10
11
01
10
01
00
10
10
10
11
01
01
10
10
10
10
00
00
10
01
10
00
00
10
00
00
10
10
00
01
00
01
10
00
10
11
00
10
10
11
01
01
00
00
10
01
01
01
10
11
10
11
10
00
11
10
00
00
01
10
01
00
01
00
10
11
00
01
10
11
00
00
10
10
01
00
00
10
10
00
00
11
01
10
11
00
00
10
11
11
01
01
10
10
00
10
11
00
01
10
00
10
10
00
00
10
10
00
10
01
01
00
10
10
00
00
11
01
10
10
10
11
10
10
01
01
10
00
11
11
01
00
10
11
00
10
11
10
00
10
10
11
11
10
11
10
01
10
00
00
00
10
00
01
10
11
00
11
00
11
00
00
11
10
00
10
01
00
00
11
11
11
10
11
00
00
10
00
10
11
01
01
11
00
10
10
10
10
00
00
11
10
01
11
00
00
11
01
11
01
10
10
10
00
00
00
01
10
01
00
01
00
01
10
10
10
01
11
00
00
11
00
00
01
10
11
00
00
01
10
01
00
11
10
00
10
10
10
00
10
10
11
00
00
10
10
00
11
10
00
10
01
00
11
10
00
01
00
01
10
10
11
10
00
11
10
11
01
10
00
01
10
10
11
00
01
11
10
01
10
00
00
00
01
10
10
00
01
10
00
10
10
00
10
10
01
11
10
01
00
00
10
00
00
10
11
00
10
10
01
10
00
10
01
00
11
11
10
01
01
00
10
11
01
00
00
10
10
00
10
10
10
10
00
00
10
10
01
01
01
00
11
01
01
10
10
00
01
11
11
01
00
10
00
01
10
00
00
11
10
10
00
00
11
00
10
10
11
00
10
00
00
10
00
10
00
10
00
00
00
10
10
10
10
00
10
00
10
00
10
10
01
11
10
01
10
11
01
01
10
10
10
11
10
01
00
11
01
01
00
10
00
01
01
10
00
00
10
10
01
01
10
10
00
00
10
00
01
11
11
00
00
00
10
11
11
01
00
11
00
00
10
11
10
00
00
00
00
00
00
10
01
00
00
10
01
00
11
11
01
00
00
10
10
00
11
00
00
00
01
11
10
00
00
10
00
10
10
00
00
01
11
01
10
11
00
01
10
10
01
00
00
11
10
01
10
01
10
00
10
00
00
11
11
00
10
10
01
11
00
10
10
11
00
11
10
01
00
11
00
00
00
01
10
10
11
00
10
11
00
11
00
11
00
10
10
00
01
11
11
00
00
00
00
11
10
00
00
11
11
00
10
10
01
00
01
10
11
00
00
10
10
00
00
00
11
01
11
00
00
01
10
00
01
10
10
10
00
00
10
11
00
10
10
01
10
00
00
01
00
10
00
10
10
00
11
11
00
10
00
10
10
10
11
00
10
11
10
01
00
00
10
01
00
01
11
10
11
11
10
00
00
10
10
01
00
01
10
10
10
10
10
00
00
11
00
00
10
10
10
11
00
10
10
00
01
01
10
01
10
11
11
10
11
11
00
01
00
01
10
01
00
10
10
01
00
11
10
01
00
01
10
00
10
00
01
11
00
11
00
10
10
01
10
01
10
00
01
10
01
11
10
01
00
11
10
00
00
00
10
11
00
00
01
00
10
01
00
00
10
10
10
00
11
00
00
01
00
00
10
11
00
10
01
00
10
01
00
10
00
10
00
10
10
10
10
10
00
10
11
00
10
00
11
10
00
11
00
11
10
10
00
10
11
10
00
00
00
10
00
00
10
10
00
11
00
10
01
00
00
10
11
00
10
11
00
11
10
11
10
00
11
01
10
10
11
11
10
00
10
10
11
10
01
00
01
00
10
00
01
00
10
11
00
10
11
00
11
00
01
11
00
00
01
10
10
00
00
10
00
10
11
10
01
00
11
10
10
00
11
00
01
10
10
11
10
00
00
01
11
10
00
11
10
00
01
10
00
01
10
11
10
01
10
00
00
00
10
10
11
11
00
00
11
11
00
01
01
00
01
01
10
00
11
10
10
10
00
10
00
00
01
00
10
00
10
11
10
01
01
00
00
10
10
00
00
10
10
01
01
10
01
10
11
00
01
10
10
00
01
00
10
01
00
00
10
00
00
01
00
11
10
10
00
00
00
10
10
00
01
10
01
10
11
10
00
00
00
10
00
00
10
11
00
10
10
01
01
00
10
00
10
00
00
00
01
11
11
10
01
00
00
00
10
10
01
10
10
00
00
10
10
00
01
10
11
11
00
00
10
01
10
00
00
10
10
10
00
01
11
10
10
00
10
00
10
10
01
00
00
00
10
01
10
00
00
01
00
01
10
11
10
00
00
10
11
10
00
10
01
01
10
00
11
00
11
00
01
01
10
10
01
00
10
10
10
00
11
11
10
00
01
10
00
01
01
00
10
10
00
11
11
10
11
00
00
00
00
11
00
10
01
01
10
00
11
10
10
00
00
00
11
10
11
01
11
00
10
10
00
10
10
00
10
01
00
00
10
10
10
10
01
10
01
00
10
10
10
01
10
11
00
01
01
01
11
00
10
10
11
01
01
00
00
10
11
00
11
10
10
00
00
00
01
10
10
11
01
00
00
01
00
10
10
10
11
01
01
00
10
01
00
10
11
00
01
00
10
10
01
00
00
11
11
10
10
01
11
10
00
00
10
11
01
11
01
11
10
10
11
00
00
00
10
10
01
01
10
00
00
11
11
00
01
01
01
10
01
00
10
10
00
10
11
01
00
10
11
10
00
00
01
01
11
10
01
00
10
10
10
00
10
10
01
10
10
11
10
00
00
10
00
01
10
01
00
00
10
10
01
10
00
00
10
10
01
11
10
11
00
00
10
11
10
00
01
10
00
01
01
11
10
00
00
01
10
01
10
10
10
10
10
10
10
00
00
00
11
00
10
10
00
11
10
00
01
11
01
10
00
00
01
01
10
11
10
10
00
01
01
01
10
11
00
11
10
10
01
01
00
10
00
00
10
00
10
10
10
10
00
01
01
11
11
00
10
10
10
10
10
00
00
10
10
10
10
00
00
00
11
11
10
11
01
11
01
11
10
00
00
00
01
10
11
10
01
00
01
00
00
10
10
01
01
10
10
00
00
00
10
00
01
10
11
10
00
00
10
11
00
00
00
01
10
10
11
11
10
00
10
11
01
00
00
00
11
00
00
00
10
00
00
01
11
01
01
11
10
10
10
01
00
11
01
00
11
01
11
10
10
01
00
10
10
00
00
10
01
11
11
01
10
01
10
11
00
00
10
10
10
01
10
10
01
11
00
00
10
10
01
11
00
00
10
00
10
10
00
10
11
01
00
10
00
00
10
00
00
10
10
01
00
00
00
10
10
10
10
10
10
10
11
01
01
00
10
01
00
10
10
00
01
10
01
00
00
01
11
11
00
10
00
01
10
10
00
00
00
10
10
00
00
11
10
11
10
10
00
10
10
11
10
00
11
01
01
10
00
00
01
00
11
11
00
00
11
10
01
00
10
11
00
10
10
00
01
10
11
00
00
01
01
11
01
10
00
10
00
00
00
10
11
00
01
11
11
01
01
01
00
11
10
00
01
10
11
00
00
10
01
00
11
00
10
00
00
10
01
01
10
00
00
10
10
01
00
11
11
00
10
00
00
10
10
00
01
10
01
01
10
00
00
10
10
10
10
00
01
11
10
11
00
01
10
10
01
00
10
11
00
00
10
01
01
10
10
01
10
11
10
10
11
01
11
10
00
00
01
10
00
00
11
10
01
10
10
00
10
11
00
10
00
01
00
10
11
00
10
01
01
10
11
00
00
00
10
00
10
10
10
11
00
11
00
10
00
10
00
00
11
10
01
00
01
00
11
10
00
10
11
00
00
00
10
10
00
11
00
01
11
11
00
10
01
10
01
01
01
11
10
01
10
01
00
11
11
00
00
10
01
01
10
10
00
10
10
10
01
00
10
10
10
01
11
00
10
10
00
00
00
00
01
00
00
10
11
00
01
00
00
00
01
01
10
00
10
11
10
00
00
11
00
00
00
00
10
10
00
00
10
00
00
10
01
10
10
10
00
10
10
01
11
11
00
11
11
10
00
10
00
00
01
11
01
00
10
01
10
10
11
10
00
10
00
10
10
01
10
00
10
10
00
00
10
10
10
00
11
00
00
10
10
00
00
10
00
00
10
10
10
10
11
10
10
10
11
11
10
10
01
10
01
11
01
01
01
10
10
11
00
00
10
10
00
10
11
00
10
11
01
10
00
10
10
11
00
01
01
11
01
11
00
01
11
10
10
00
00
11
10
00
00
10
10
00
10
10
10
11
00
00
00
10
11
00
11
00
00
01
10
10
01
10
10
00
01
10
10
00
01
00
10
11
00
01
11
10
11
10
00
01
10
10
10
00
00
00
00
10
11
10
10
10
11
00
00
01
10
01
10
01
01
11
00
10
01
00
10
01
00
11
01
00
11
10
10
10
10
00
00
00
10
10
00
01
11
10
10
00
01
11
01
11
00
01
11
11
01
00
10
11
00
00
10
10
10
00
01
01
10
10
00
01
10
10
00
11
11
00
00
00
00
01
10
10
10
01
00
00
11
10
00
11
10
01
01
00
10
11
10
10
11
00
11
10
01
01
11
00
00
01
00
01
10
10
01
00
11
01
11
10
01
11
00
00
01
01
10
10
01
10
00
10
11
00
00
10
00
10
10
01
01
00
11
00
01
11
00
10
00
00
01
10
11
10
00
01
00
10
10
00
10
01
00
10
11
01
11
00
00
00
10
00
00
10
10
11
00
00
11
00
00
11
11
00
10
10
10
00
10
11
00
00
10
00
00
00
00
10
00
00
10
10
00
10
10
10
01
10
10
00
00
01
00
10
00
11
01
00
11
11
10
00
10
10
00
10
11
10
00
01
10
10
00
10
10
01
10
10
01
10
00
01
00
10
11
00
00
01
01
00
01
01
00
10
11
10
00
10
11
01
01
01
11
11
00
00
00
10
11
10
01
10
11
10
00
10
11
11
00
10
10
00
00
10
10
00
00
11
00
10
10
10
01
00
01
11
11
00
00
10
11
10
00
10
10
01
00
10
10
01
00
10
00
10
10
00
10
00
00
00
11
11
10
10
00
10
10
10
00
01
10
10
00
10
10
11
10
11
00
00
01
10
10
10
00
00
10
11
00
00
10
10
10
10
00
10
00
00
11
00
10
10
10
10
11
11
01
00
00
00
00
10
11
01
01
10
10
00
10
00
00
00
10
11
01
10
11
10
10
00
10
10
00
01
00
00
10
11
00
11
00
00
01
01
00
10
00
01
10
10
11
10
01
00
01
10
10
11
00
01
00
01
10
11
00
11
11
00
10
11
00
10
11
00
00
10
11
00
00
10
00
10
11
00
01
00
00
11
00
01
00
00
10
10
00
00
00
10
10
00
10
01
10
10
01
01
10
00
10
00
00
10
11
11
00
10
01
10
10
10
10
00
10
01
01
01
10
11
01
00
01
11
11
00
00
10
00
00
00
00
10
11
01
11
10
00
01
01
00
10
10
01
10
01
00
01
11
11
10
00
10
10
11
00
00
00
00
11
11
00
10
11
01
10
00
00
10
01
10
10
00
01
10
00
10
10
00
11
00
00
10
00
11
00
00
11
00
00
00
10
10
10
10
01
11
00
11
00
10
10
01
00
10
10
00
00
00
11
10
10
00
10
10
00
00
00
00
10
10
01
10
11
00
01
11
00
00
10
00
01
01
10
10
00
10
01
01
01
00
10
11
10
00
00
10
00
10
11
00
00
10
10
00
10
00
00
10
01
11
10
10
10
00
01
00
11
00
01
10
10
00
00
01
11
00
00
00
10
01
01
10
10
10
11
00
11
11
00
11
01
11
10
10
00
00
10
10
10
01
00
00
10
01
10
01
00
10
00
00
00
10
11
01
01
01
00
10
01
10
01
00
10
00
10
10
11
10
01
00
00
11
10
10
11
10
01
11
01
10
00
10
10
01
10
10
00
10
10
01
11
00
00
00
10
10
00
10
00
10
10
01
10
00
01
00
00
01
11
11
11
11
01
00
11
10
00
00
11
11
11
00
10
01
10
10
01
11
10
00
00
11
10
00
00
11
10
00
00
11
11
10
01
00
10
11
00
00
11
00
00
10
01
00
11
01
00
11
10
00
10
01
00
11
10
01
01
11
10
10
10
10
11
01
01
10
01
10
00
00
11
00
00
10
10
00
10
00
11
00
00
10
11
01
11
01
01
10
10
10
11
00
01
10
10
11
11
10
11
01
00
10
11
00
10
10
10
10
01
11
00
10
01
10
11
10
01
00
11
10
00
01
10
00
00
00
10
10
10
11
10
10
00
11
10
10
00
00
01
11
00
01
10
10
00
10
11
00
01
10
01
00
11
10
00
10
10
01
01
00
00
10
00
00
00
00
01
11
10
01
10
10
10
10
00
10
00
01
10
10
00
00
00
10
10
10
10
01
11
01
11
10
00
00
01
10
00
01
10
00
10
00
01
00
11
11
10
00
00
00
11
00
00
11
10
01
00
11
10
00
10
11
00
01
10
10
00
01
01
10
00
10
00
01
11
00
11
00
11
10
11
00
11
10
00
00
10
00
00
00
00
01
11
00
10
10
10
11
01
00
10
11
00
00
00
11
10
11
11
01
11
00
00
11
11
00
11
01
00
00
10
10
11
00
00
00
10
11
10
10
00
00
11
00
00
10
11
01
01
00
10
01
01
11
00
01
10
10
11
00
00
00
00
10
00
11
10
00
00
01
10
00
10
10
10
01
11
00
00
10
00
11
00
10
00
01
00
11
01
00
00
10
10
11
00
01
10
00
01
10
01
10
10
01
01
11
11
00
00
00
00
11
01
00
11
10
00
01
10
01
11
00
01
00
11
00
01
10
11
10
00
10
10
10
00
00
11
11
10
11
01
00
11
10
00
00
10
10
00
01
10
11
00
00
10
10
00
10
10
00
00
10
10
01
00
00
10
10
10
00
10
00
00
00
10
10
11
10
11
00
00
11
00
00
00
10
11
00
11
01
10
00
10
10
10
10
01
11
11
10
00
00
10
01
10
11
01
00
11
11
11
01
10
11
10
10
00
00
00
11
11
01
00
10
10
01
00
01
01
10
10
01
00
10
00
10
00
01
00
00
01
11
00
10
00
11
11
10
10
00
01
10
00
10
11
00
00
00
00
11
00
00
00
11
10
00
11
10
00
00
00
11
10
01
00
00
10
01
10
00
00
00
10
11
10
11
01
00
00
00
00
01
10
11
00
00
11
00
00
11
00
11
00
01
10
01
10
11
10
11
11
00
00
01
10
00
00
00
10
01
01
11
00
00
11
00
10
01
10
10
00
01
11
11
10
01
00
11
00
11
00
00
10
11
11
00
01
10
01
00
10
00
00
10
10
11
01
00
00
01
01
00
01
00
11
10
10
10
11
10
01
00
10
10
01
11
01
00
01
00
10
10
01
01
10
10
10
00
01
00
01
10
00
00
01
01
10
11
10
10
11
11
01
00
00
10
00
11
00
10
11
00
10
00
00
00
10
00
01
00
11
00
00
10
10
10
00
10
11
00
11
11
00
01
00
01
00
10
10
10
00
10
10
00
10
10
00
01
00
11
00
10
01
11
00
01
11
11
10
10
11
10
01
01
11
10
10
00
10
10
01
01
11
00
00
10
11
00
10
11
00
10
10
00
00
01
00
10
00
10
00
00
00
00
01
10
00
00
10
10
10
01
10
00
00
10
10
00
10
10
01
00
10
01
10
10
01
00
01
00
00
11
10
11
00
11
00
10
00
10
10
10
00
01
01
00
11
11
10
00
10
00
00
01
11
00
11
00
01
10
00
10
00
01
11
11
01
11
10
01
10
11
01
00
11
11
00
10
00
00
10
00
01
10
11
11
00
00
10
00
01
10
11
01
10
10
10
00
00
01
00
10
10
01
11
11
00
01
01
00
10
11
10
01
01
10
10
10
01
10
10
00
11
00
11
00
01
00
10
00
10
01
00
00
00
11
10
00
00
10
01
11
01
01
11
10
10
00
00
10
11
00
10
00
00
00
00
10
01
00
01
00
00
00
10
10
10
10
00
11
10
11
01
00
11
10
00
00
10
00
01
00
10
10
01
00
00
01
10
11
00
10
00
10
10
00
10
10
00
00
01
10
00
01
00
10
10
10
00
00
11
10
10
11
00
10
10
10
00
10
11
10
10
01
00
10
10
11
00
01
01
00
01
11
10
10
10
01
00
10
01
01
00
11
10
01
01
01
00
11
00
00
00
01
11
00
00
10
00
00
11
01
10
10
11
00
01
00
11
10
10
00
00
00
10
11
00
10
01
00
00
10
00
01
00
00
10
01
10
00
10
10
01
01
10
01
10
10
10
10
01
00
10
10
10
00
10
10
00
00
11
00
10
11
10
11
00
10
10
10
00
00
01
10
00
01
00
10
10
10
10
10
00
10
00
11
10
01
10
11
00
00
01
01
00
11
11
00
00
11
10
01
10
10
01
00
00
11
11
01
00
11
10
01
11
11
00
00
01
10
00
00
10
10
10
00
00
00
10
01
00
10
11
10
00
10
10
10
10
00
01
10
00
00
10
10
01
01
11
10
10
00
01
10
10
00
01
11
10
00
01
00
01
00
10
10
01
10
11
10
00
11
11
01
00
00
10
10
11
01
11
10
11
11
10
10
00
01
10
00
00
11
01
00
00
11
11
11
10
00
10
00
00
00
10
11
10
10
01
00
10
01
00
10
11
00
01
10
00
11
11
01
10
11
00
00
00
10
10
10
00
00
10
00
01
11
11
00
00
01
10
01
00
10
10
10
10
00
00
11
00
00
00
00
10
11
11
01
11
10
00
01
00
11
11
00
01
10
00
00
00
11
11
00
00
00
00
00
01
10
10
10
00
10
00
00
10
10
10
00
01
00
10
10
00
01
10
10
10
11
00
11
00
00
10
10
10
00
10
10
10
00
00
10
00
10
00
00
00
10
10
10
01
10
11
10
10
10
10
10
10
10
00
01
01
11
10
11
10
11
11
10
00
00
10
10
11
01
10
00
00
00
10
10
01
11
11
01
00
00
10
00
00
10
10
00
00
11
00
10
10
10
01
00
01
01
01
00
00
00
10
10
01
00
10
10
00
11
10
00
11
00
01
10
00
01
11
10
00
10
00
11
00
00
10
11
11
10
01
00
01
11
10
10
00
10
10
00
00
10
10
11
10
10
01
01
01
00
11
10
00
01
11
01
00
01
11
10
00
00
11
00
10
10
01
01
00
00
10
00
11
00
00
01
11
10
01
00
00
10
11
11
10
00
00
11
00
01
10
10
00
10
00
11
10
10
10
00
00
10
10
00
00
00
00
10
10
01
10
10
10
00
10
11
01
01
11
10
00
11
10
00
10
00
00
10
11
00
10
01
11
10
01
00
00
11
11
01
00
10
01
10
10
01
10
10
10
10
00
01
10
10
10
00
00
01
10
01
00
01
00
10
00
10
01
00
00
01
11
11
01
11
11
11
00
00
01
00
10
01
10
10
01
00
11
10
00
00
11
01
00
01
01
10
10
00
10
00
01
10
11
10
01
00
01
01
10
10
00
10
00
00
11
01
00
00
01
11
10
10
10
10
01
10
10
10
10
00
00
10
10
00
00
00
00
00
00
00
11
11
00
00
10
11
01
00
01
00
10
10
10
11
10
01
10
10
01
10
11
10
00
00
01
10
00
10
00
01
10
10
10
10
00
11
10
10
10
11
00
10
11
00
11
10
00
10
00
01
01
11
10
11
11
00
01
11
11
00
00
11
10
10
01
11
10
10
01
00
00
10
11
11
10
10
10
00
01
00
00
00
00
00
11
00
10
00
00
01
10
00
10
11
00
10
00
00
11
10
10
11
10
10
11
01
00
00
00
10
11
01
00
00
10
10
10
00
10
01
11
00
11
00
00
01
10
10
00
00
11
01
01
10
00
01
10
10
00
00
10
00
10
01
01
10
10
00
10
11
00
01
00
11
01
10
01
10
10
00
01
10
10
00
00
10
11
01
00
10
01
00
00
10
00
00
01
10
10
00
01
10
10
11
11
10
11
10
00
00
10
11
10
00
01
01
11
10
00
01
00
11
00
11
10
10
10
00
11
10
01
00
10
11
00
11
00
00
10
10
00
01
10
10
00
10
00
00
00
11
00
11
11
11
10
00
00
10
10
00
10
10
10
10
00
00
00
10
01
10
01
11
01
11
01
10
10
00
11
10
00
01
11
10
11
01
01
01
00
11
01
10
10
00
01
00
00
10
11
01
01
11
10
00
01
00
11
00
11
10
00
11
00
10
10
01
00
11
11
00
10
01
10
10
00
11
10
00
01
10
01
00
11
10
00
00
11
10
00
01
11
01
00
10
10
00
00
10
00
00
11
00
11
10
11
10
11
10
10
01
00
10
10
01
00
00
11
11
10
11
01
00
00
00
00
10
10
00
10
10
10
10
00
10
10
01
10
11
10
00
00
01
10
10
10
00
10
00
01
10
01
10
10
00
00
10
01
11
10
00
00
11
01
10
10
00
00
10
11
10
10
00
00
01
10
11
10
00
00
10
10
01
10
00
10
00
11
01
11
01
01
11
01
10
00
11
10
01
00
11
11
01
00
10
00
10
10
10
00
00
01
00
11
01
00
11
10
01
10
11
01
00
10
10
01
01
10
10
11
01
00
00
11
10
00
00
10
01
10
01
00
10
00
10
11
11
00
01
10
00
01
11
10
10
00
00
00
00
10
11
10
10
00
11
10
00
01
01
11
00
00
00
11
11
10
11
10
01
10
01
01
11
11
00
10
10
10
00
00
10
10
10
10
00
10
10
00
10
10
10
11
00
10
11
10
10
00
10
10
11
10
01
00
10
00
00
00
00
01
11
01
10
10
01
11
10
10
00
01
01
10
11
01
10
11
10
00
11
10
00
00
00
10
01
11
10
10
10
10
10
00
00
00
11
00
11
10
10
01
00
01
11
10
10
11
01
00
10
10
10
00
11
00
00
10
01
10
00
11
00
10
11
00
10
00
01
00
10
00
11
11
00
01
01
00
00
00
11
10
00
10
00
01
00
11
10
00
00
01
10
10
10
00
10
11
01
01
10
00
00
01
10
11
10
00
00
00
00
11
01
01
00
01
00
01
00
00
10
10
10
00
10
11
01
10
00
01
10
01
10
11
01
10
01
01
00
00
10
10
10
00
00
10
00
10
00
01
00
10
10
00
00
01
10
00
00
01
10
00
11
00
01
00
11
11
10
01
00
01
10
01
10
11
11
00
10
10
01
10
00
00
01
00
10
10
10
10
00
10
10
00
10
11
10
10
01
00
10
11
11
10
10
11
00
01
11
10
00
11
10
10
10
11
01
10
00
10
00
11
10
10
01
00
00
11
00
10
11
11
10
11
00
01
11
00
01
00
00
10
10
10
01
01
11
11
10
11
01
10
11
01
00
11
00
01
00
00
00
11
10
11
11
00
10
00
00
10
00
01
01
10
10
11
00
11
00
10
11
00
10
00
11
10
01
00
10
00
11
00
01
10
00
10
11
00
00
11
10
10
00
01
10
01
10
00
01
00
10
10
00
01
11
00
00
00
11
10
00
10
10
00
11
01
00
11
01
00
00
00
10
11
10
01
11
10
00
00
00
10
11
01
11
00
00
10
00
10
00
01
10
10
00
10
11
00
10
00
10
00
11
10
00
10
10
00
00
00
11
00
01
11
10
10
00
00
10
10
00
00
10
00
11
11
10
10
01
10
10
10
00
10
10
00
10
00
01
01
10
00
01
00
10
01
10
11
01
10
11
00
01
10
11
11
00
01
10
01
00
00
11
10
00
00
01
01
01
10
10
10
10
00
00
00
11
10
00
00
00
00
00
00
00
11
01
11
01
00
00
10
01
11
01
00
10
10
01
10
00
01
10
11
10
00
01
11
00
00
01
10
10
00
01
11
10
00
01
00
00
11
10
00
00
01
10
00
01
11
11
00
00
11
10
01
00
11
00
01
10
00
11
10
00
00
00
00
00
01
11
11
01
01
10
10
10
00
00
10
10
10
10
00
11
00
11
10
01
10
01
01
01
01
10
10
00
11
11
11
01
00
01
10
01
00
00
11
10
00
00
00
01
11
10
11
11
00
01
10
00
10
00
00
11
10
01
01
11
00
01
11
11
01
01
11
10
00
10
11
01
00
10
00
00
10
00
10
01
00
10
11
00
10
11
00
00
10
11
00
00
01
00
10
00
01
10
01
00
11
10
01
00
00
10
01
11
10
10
00
10
10
00
01
11
00
01
10
10
00
01
10
01
10
10
11
00
00
00
10
11
00
10
10
10
10
10
10
01
11
00
11
00
11
10
11
01
11
01
00
11
10
10
00
01
00
10
10
10
10
00
10
01
00
10
01
00
00
00
10
10
00
11
10
10
01
10
00
10
10
00
00
10
11
11
11
00
01
00
00
00
00
10
10
00
11
01
00
00
00
01
10
11
00
01
00
11
10
10
10
11
00
11
10
00
00
00
11
00
10
10
10
11
01
00
11
00
10
10
00
00
00
10
10
00
01
00
01
00
11
00
11
10
01
11
10
11
01
10
11
00
01
10
11
00
10
10
00
00
00
00
11
01
00
00
10
10
00
10
01
10
10
00
00
10
11
00
00
01
00
00
10
10
10
00
00
10
10
10
01
00
00
10
10
00
00
11
00
11
10
10
10
01
01
10
10
01
10
10
10
00
00
10
10
10
11
10
10
11
00
00
00
10
10
10
00
00
00
10
00
11
11
10
00
01
00
10
01
01
00
10
10
10
00
01
10
00
00
00
10
10
10
10
11
01
11
11
10
11
00
01
10
01
01
11
11
00
01
10
01
00
01
11
11
00
11
11
01
01
10
01
01
00
10
00
00
10
00
10
10
10
01
10
10
11
11
10
11
00
00
10
10
01
00
01
10
10
01
00
00
11
11
10
01
00
01
00
00
00
11
01
00
01
11
11
00
11
10
00
00
10
00
00
10
10
10
00
10
10
00
10
00
00
10
00
10
00
10
10
00
01
10
01
10
01
01
11
00
01
10
01
00
10
11
10
11
10
11
00
00
10
11
10
00
11
11
01
10
00
00
10
11
00
10
10
10
00
11
10
11
00
01
00
00
10
11
00
01
00
11
10
10
00
01
00
10
10
01
10
00
10
11
10
10
00
01
00
00
01
10
00
10
01
01
00
11
00
10
00
10
10
00
00
10
01
01
00
10
01
00
10
10
10
10
01
00
00
10
10
01
00
00
10
01
10
01
11
10
00
11
00
01
01
11
10
11
01
00
10
11
00
01
10
10
01
00
10
01
10
10
00
00
10
00
00
00
11
01
01
00
10
10
10
10
10
10
00
10
00
00
01
11
00
10
10
00
00
10
11
10
10
00
11
01
00
11
10
11
10
00
01
10
10
00
11
11
10
01
11
01
01
01
10
00
01
10
10
01
00
11
10
11
10
00
00
01
01
11
10
01
10
11
01
11
01
10
00
00
01
10
10
10
01
10
10
11
00
00
11
10
01
01
10
11
00
01
10
10
00
11
10
01
00
10
01
00
10
10
10
00
11
00
11
00
01
00
11
11
01
00
10
11
01
00
00
00
11
00
10
01
11
11
10
00
10
10
10
10
00
00
00
10
10
01
11
01
01
01
10
01
01
11
00
00
10
11
01
11
00
11
10
10
01
01
11
00
00
10
01
10
00
11
10
00
00
00
01
01
00
10
00
01
00
01
10
11
00
10
11
01
11
10
00
10
11
10
10
00
01
01
10
00
10
10
10
00
01
00
10
00
01
00
10
01
00
11
11
00
10
10
10
00
00
10
10
10
10
00
01
10
10
10
10
00
10
01
00
11
00
00
10
11
00
00
10
10
01
10
00
00
00
10
11
01
10
11
10
00
00
10
01
00
01
11
01
00
00
10
00
00
10
10
00
01
10
00
11
01
11
00
00
10
01
00
01
00
10
01
00
00
10
01
10
11
00
11
10
10
00
00
00
00
01
11
10
00
00
11
01
00
10
10
10
11
01
10
10
00
00
00
11
00
00
10
00
10
00
00
00
11
11
11
10
00
11
01
10
01
00
00
00
00
11
11
11
01
11
10
00
00
10
10
11
10
00
10
00
00
10
00
10
10
01
10
11
11
00
11
11
00
11
00
00
11
11
11
00
10
11
00
00
00
10
11
00
01
01
00
10
01
00
00
10
10
00
00
10
10
10
01
11
10
11
00
11
00
00
00
00
00
10
01
10
10
10
00
10
10
00
01
10
10
00
10
10
10
11
00
01
00
00
10
00
01
11
00
10
11
10
11
00
00
00
10
01
00
01
10
11
11
00
10
01
10
10
10
00
01
10
10
10
00
11
00
00
11
10
10
00
01
10
10
00
00
10
11
11
00
00
10
10
10
00
00
11
11
10
01
11
00
00
01
11
00
10
10
01
01
00
11
11
11
00
10
01
01
01
10
10
00
11
10
00
10
11
00
10
10
00
00
11
10
00
10
10
11
11
11
01
00
11
10
00
00
11
10
00
00
11
10
00
01
11
00
10
11
10
01
10
10
00
00
10
11
01
00
00
00
10
01
01
11
10
10
11
00
11
10
01
01
00
10
00
00
10
00
10
10
00
11
00
00
10
10
10
10
10
10
10
00
10
01
00
10
00
11
10
10
00
01
00
00
11
00
00
00
11
10
00
10
10
00
11
10
00
00
11
01
01
10
01
00
10
00
10
00
00
00
01
01
11
10
10
10
11
00
00
01
11
10
11
10
11
00
00
01
00
00
10
10
00
10
10
01
11
11
00
10
00
11
10
10
01
01
10
10
00
11
11
10
10
11
10
00
00
01
01
11
00
10
00
01
00
00
01
11
10
11
00
01
10
11
10
11
10
11
00
00
10
10
00
10
11
01
00
10
11
11
10
01
10
10
10
00
01
11
01
01
10
10
01
00
01
10
10
00
00
00
01
00
10
00
11
11
11
10
11
11
10
10
10
11
01
00
00
10
10
00
10
10
01
01
00
10
01
00
11
11
11
10
10
01
10
10
00
00
10
01
01
10
10
01
11
11
01
10
11
10
00
10
00
10
11
10
00
11
10
10
00
10
01
10
11
10
00
00
10
00
11
11
11
10
10
00
11
10
00
11
01
00
10
00
10
01
10
11
10
01
01
00
00
01
00
01
11
10
00
00
10
00
11
10
01
10
00
00
00
11
00
10
10
11
00
00
10
01
01
11
10
00
10
10
00
00
11
10
11
11
00
01
10
11
10
10
01
10
10
00
11
11
01
00
10
01
11
00
11
11
01
11
10
10
01
10
01
00
10
10
11
00
00
00
10
00
01
10
00
01
00
11
01
10
00
10
10
00
00
00
10
10
10
10
00
10
10
00
00
10
11
01
00
10
10
01
10
11
11
11
00
10
10
01
10
11
10
00
01
00
01
00
01
10
11
00
00
10
01
00
10
11
00
11
00
01
00
10
01
01
11
10
00
00
00
11
01
00
01
10
10
10
01
10
10
00
01
10
11
10
01
11
11
11
10
00
00
10
10
00
01
10
11
01
10
01
10
10
10
00
00
10
10
00
10
00
10
10
01
00
00
00
10
10
10
10
00
00
10
00
11
01
01
10
00
11
10
10
01
00
10
10
01
11
01
00
10
10
01
01
01
11
11
01
00
11
10
11
00
01
00
00
11
10
01
11
10
00
10
01
00
10
10
01
00
10
00
00
10
00
01
11
01
00
10
10
10
11
11
00
00
01
10
10
10
00
00
10
00
00
10
10
01
01
00
10
01
10
10
00
11
00
01
10
00
00
10
00
00
01
10
10
01
11
11
11
01
10
01
00
01
11
10
00
00
10
11
00
10
01
11
01
10
10
00
11
10
00
10
00
10
10
10
11
11
11
10
00
01
00
00
10
10
11
00
00
10
10
00
00
10
00
10
00
11
11
10
11
00
00
11
10
00
10
10
01
00
10
11
00
00
10
10
00
10
10
00
10
10
00
11
10
11
00
00
10
00
00
10
11
10
10
11
10
11
00
11
10
11
01
10
10
10
00
00
10
11
00
00
00
10
01
01
00
11
00
01
10
11
10
01
00
10
11
00
11
10
11
11
10
11
00
00
10
00
01
01
00
10
10
11
01
01
00
01
10
00
01
10
11
01
00
10
10
00
00
11
00
10
11
10
10
10
01
01
01
00
10
00
00
00
10
00
01
10
10
10
00
00
11
10
00
11
10
00
00
00
10
10
00
10
11
01
11
00
00
00
01
00
00
00
10
11
00
00
00
11
00
11
00
10
00
10
10
10
11
00
00
10
00
00
00
11
10
01
10
11
10
11
00
00
00
10
01
01
00
11
11
10
00
00
00
01
00
10
11
00
01
10
00
11
00
00
11
00
10
10
00
10
01
10
10
10
00
11
11
10
00
00
10
01
10
01
01
10
10
01
01
00
11
10
10
00
01
11
11
01
00
00
00
01
00
10
11
00
10
10
00
10
10
10
00
01
10
11
10
01
10
11
10
01
10
10
10
11
10
00
10
10
00
10
10
11
10
01
10
00
01
00
01
10
11
00
00
01
00
00
10
10
01
00
10
11
00
11
10
00
11
10
11
11
10
00
00
10
10
00
01
10
00
00
10
10
00
00
10
11
11
00
00
10
10
01
11
10
00
00
00
10
10
00
10
00
10
01
10
01
10
10
10
00
10
10
11
11
00
01
00
00
00
00
00
11
00
00
00
11
10
00
00
11
00
00
00
00
00
00
10
10
00
01
00
10
11
01
11
10
11
00
00
10
11
11
00
00
10
00
10
00
00
11
10
00
10
10
01
10
00
10
01
00
11
10
00
11
00
01
11
00
10
10
01
00
00
10
00
11
11
10
00
11
01
10
00
10
10
00
00
11
00
01
01
10
00
10
00
00
00
00
10
11
00
01
10
10
00
00
00
00
10
10
00
10
00
10
00
00
00
00
10
00
10
10
10
01
10
10
00
10
10
11
10
00
00
10
11
01
00
11
00
00
01
10
11
00
10
01
01
11
10
11
01
00
11
00
10
10
10
00
00
01
10
00
01
10
10
00
00
11
00
01
00
01
11
10
00
00
10
10
00
00
10
10
01
11
00
00
00
10
00
00
10
10
10
11
01
10
10
11
10
11
00
00
00
00
00
00
10
10
10
00
00
11
10
11
10
10
10
01
00
10
11
00
00
11
00
01
11
10
00
00
10
00
11
01
00
11
10
01
10
11
11
11
01
00
10
01
00
10
10
00
00
11
11
10
00
11
11
11
11
01
00
11
00
10
01
01
00
10
00
11
10
10
00
00
10
00
10
10
11
10
00
01
11
00
10
11
00
10
00
10
10
00
01
10
00
00
10
00
10
00
00
10
10
11
10
01
00
11
00
00
10
10
00
01
00
00
10
11
00
00
10
10
00
00
11
10
10
10
00
01
10
01
00
01
00
00
10
10
01
00
01
00
11
01
01
00
10
10
01
00
11
10
01
10
00
01
11
10
00
11
10
00
11
00
10
10
01
00
10
00
00
10
01
01
11
00
01
11
10
10
10
00
00
11
11
11
00
00
00
11
01
00
01
01
01
01
10
00
00
00
10
10
10
00
00
00
10
11
10
10
11
00
01
01
00
10
10
01
01
00
10
11
10
00
10
11
00
11
10
00
00
01
10
10
10
00
10
01
01
01
10
11
10
00
10
10
01
00
00
10
10
11
11
10
00
01
10
00
10
11
10
11
10
00
00
10
00
10
11
10
10
01
00
11
10
00
01
10
10
00
11
01
11
10
00
10
11
10
10
00
00
10
10
00
01
10
10
10
00
01
10
11
11
10
00
10
00
10
10
00
11
00
01
01
00
10
10
10
11
00
01
00
00
00
00
00
00
10
10
00
11
11
00
01
10
00
11
00
00
10
11
00
11
10
01
11
10
11
10
01
00
10
11
11
10
10
11
00
10
00
00
10
10
10
00
00
10
00
11
01
10
10
00
10
11
01
10
00
10
11
11
11
10
00
11
10
00
10
10
01
10
11
10
00
01
11
01
01
01
01
10
11
10
10
01
10
10
00
01
01
00
01
10
10
01
11
10
10
00
00
00
10
00
00
10
11
01
10
11
00
11
01
00
11
10
10
01
00
10
00
00
10
00
00
00
11
01
10
01
11
00
00
11
01
10
00
00
01
00
11
10
10
10
00
00
00
10
10
10
00
00
11
00
00
00
00
10
00
00
10
10
01
01
10
10
00
11
00
10
10
00
11
11
01
01
01
11
00
00
11
10
00
10
00
01
10
01
11
00
00
00
10
10
00
00
10
00
00
00
00
10
00
00
10
01
11
10
11
00
01
00
01
10
11
00
00
10
10
00
00
00
11
00
10
10
00
10
10
01
00
00
00
00
10
11
01
10
10
01
10
11
10
00
01
00
01
10
11
01
00
10
11
10
11
10
01
10
00
01
00
00
10
11
01
11
01
10
11
00
11
00
10
10
00
10
10
11
00
00
11
01
01
11
10
11
11
11
10
10
00
00
00
01
10
10
00
00
00
11
00
00
01
11
10
11
00
01
00
01
10
00
10
10
00
10
10
01
11
00
10
00
01
01
00
01
11
00
00
01
00
10
11
11
10
00
00
00
10
10
01
11
00
00
00
10
10
00
10
10
01
10
01
10
01
01
01
10
10
10
00
01
10
00
11
01
10
01
10
10
00
00
10
10
11
00
11
10
10
01
11
10
01
00
10
11
10
00
10
10
01
00
00
10
10
00
11
11
00
00
11
01
01
10
11
10
01
10
00
01
00
10
11
00
01
10
01
11
11
10
00
01
10
01
01
11
10
00
00
11
10
11
11
00
00
11
01
01
10
11
11
11
01
01
00
10
00
10
00
00
10
11
01
01
11
01
00
11
10
10
10
01
00
10
00
10
10
01
01
00
00
10
11
01
10
11
01
00
00
01
10
11
00
00
10
00
00
10
11
10
11
00
11
10
00
00
11
10
01
00
01
01
00
11
10
10
10
00
00
00
10
10
00
10
10
00
01
00
10
01
00
01
01
00
00
01
10
10
10
00
00
11
00
11
00
00
11
11
00
10
10
00
01
00
11
00
10
10
10
00
01
01
11
10
11
11
00
00
10
10
00
11
10
00
11
11
01
01
00
10
00
11
11
10
00
00
11
10
01
01
10
01
10
00
10
10
00
10
11
00
00
10
10
00
01
01
10
01
01
10
10
11
11
10
00
00
10
10
01
01
00
10
00
01
10
00
10
10
00
10
00
11
00
00
00
11
10
00
00
00
11
10
01
01
10
10
10
00
11
01
00
11
00
00
10
10
00
00
11
10
11
10
10
00
10
00
10
00
00
11
10
00
10
10
00
00
00
00
10
11
01
00
00
10
10
10
01
00
10
00
01
11
10
10
10
00
01
00
10
11
00
00
00
11
00
11
00
11
00
01
11
01
11
11
01
11
11
00
11
01
10
11
11
00
10
10
00
10
00
00
10
01
11
00
10
11
00
00
00
10
10
01
00
10
10
10
01
10
11
00
10
10
10
10
01
10
10
01
10
00
10
00
00
10
10
01
11
00
10
00
10
00
10
00
01
00
10
10
10
11
00
00
00
01
00
10
10
00
00
10
01
10
00
00
01
11
10
10
00
00
00
00
10
11
01
01
11
11
00
00
10
00
10
10
00
00
11
01
10
01
00
10
00
01
01
01
11
11
10
00
10
00
00
11
10
01
00
00
00
10
10
10
00
00
00
00
10
11
01
00
11
00
11
01
10
00
00
10
10
01
00
01
10
11
00
01
11
10
01
00
10
10
10
00
00
10
10
00
10
10
10
00
10
00
00
00
11
11
10
00
11
00
11
11
01
00
01
10
11
11
00
01
11
10
10
10
00
10
00
01
00
01
10
00
10
00
11
11
11
01
00
10
01
10
10
10
01
00
00
00
10
10
10
10
00
10
11
00
10
00
01
01
01
01
11
11
00
11
01
01
10
10
00
00
01
10
10
01
00
01
10
00
00
01
10
10
11
00
10
10
10
11
00
01
00
10
00
01
11
00
10
11
00
00
01
10
11
10
00
10
00
00
11
10
01
00
00
00
00
00
11
00
00
10
10
00
01
10
01
11
01
01
00
00
00
00
00
00
11
11
00
00
00
00
00
10
01
00
11
00
00
00
10
10
10
10
00
01
11
00
11
00
10
01
10
00
00
01
10
10
00
01
01
10
11
11
10
00
10
10
00
10
00
00
00
10
10
11
01
10
10
01
10
01
10
01
11
01
00
10
11
00
11
10
00
00
00
10
10
01
00
10
10
11
10
00
00
10
10
01
00
11
11
10
10
01
00
11
00
11
00
01
00
00
01
10
00
10
00
00
00
01
10
11
00
00
01
10
10
01
10
01
00
00
11
00
00
10
10
10
01
10
11
01
00
11
10
11
10
11
00
00
01
10
00
00
01
00
10
10
00
10
10
00
00
10
00
10
01
00
10
10
10
10
01
00
10
10
01
10
00
00
00
11
11
01
10
00
01
10
00
10
00
01
10
10
00
00
10
10
10
11
11
01
00
10
10
00
00
00
00
11
01
10
10
00
01
00
01
00
10
11
11
00
10
01
00
10
11
00
00
10
10
10
00
10
00
00
10
00
01
10
11
00
01
10
00
00
10
11
00
10
10
11
10
11
01
10
10
00
00
11
10
01
10
01
00
10
00
00
00
10
00
01
11
11
00
01
01
01
01
10
00
00
10
10
00
10
00
01
11
01
01
01
11
10
10
11
00
00
10
01
00
11
10
10
00
01
00
01
11
10
10
00
00
00
11
10
00
10
10
10
11
00
10
00
10
10
01
00
00
00
10
00
10
10
00
00
10
10
00
10
10
10
00
00
10
10
00
01
00
01
00
00
10
10
10
00
10
10
10
00
00
00
10
10
01
00
00
10
11
00
00
00
10
00
11
00
11
11
10
01
00
10
00
01
10
00
00
10
00
00
10
10
10
01
00
00
11
00
01
10
10
01
01
11
00
11
10
10
10
10
01
00
11
11
10
10
00
00
10
10
00
01
10
01
00
11
11
01
11
00
00
01
10
10
10
11
00
10
01
10
01
01
01
00
11
01
00
11
10
00
00
00
11
10
10
11
10
00
11
00
00
11
00
00
10
11
11
10
00
10
10
10
10
01
01
10
11
11
11
00
00
11
10
01
01
11
01
10
10
10
10
10
00
01
10
01
10
00
10
00
00
11
10
00
10
00
00
00
10
10
10
00
00
00
11
00
01
10
00
10
00
01
11
11
11
11
10
11
00
11
10
01
00
10
10
01
00
11
00
00
11
01
10
11
10
01
00
11
11
00
11
11
10
00
01
11
11
00
00
00
01
10
01
10
00
01
00
11
10
00
10
00
00
10
00
00
11
10
10
10
10
00
01
00
00
01
10
10
11
00
11
10
01
00
01
11
10
10
01
01
11
00
00
00
00
10
10
00
00
00
10
01
00
10
10
00
00
10
01
11
10
10
10
11
01
01
01
01
11
01
10
00
01
10
11
01
10
01
01
10
11
11
01
00
10
10
00
10
01
00
01
10
10
11
10
11
10
10
00
01
10
10
01
00
10
11
10
10
10
11
01
10
10
00
00
10
11
11
01
10
10
01
10
00
00
10
10
01
11
00
01
00
00
00
11
10
00
10
00
11
01
11
11
10
00
10
00
01
10
10
00
01
10
01
01
10
01
10
00
01
10
10
00
10
11
01
00
11
00
10
10
01
01
00
01
10
11
01
10
00
00
11
11
10
00
10
01
00
00
10
10
11
10
01
10
00
01
00
00
00
01
10
11
00
11
00
01
00
01
00
01
10
10
00
00
10
00
11
11
01
10
10
10
11
00
00
01
10
00
01
01
01
00
00
10
10
00
00
10
10
00
01
00
01
00
10
11
10
10
01
00
11
00
10
10
01
00
10
11
11
00
11
01
11
01
10
00
11
10
01
01
01
10
00
00
10
10
00
00
10
01
10
10
00
10
11
00
11
10
00
01
10
00
00
10
10
01
01
10
10
00
00
10
10
01
01
00
10
01
11
10
01
00
01
10
11
11
10
11
00
00
11
00
10
00
10
11
00
00
10
01
11
01
01
01
10
11
00
10
00
10
10
10
10
00
01
11
10
10
11
00
11
00
11
10
10
00
00
11
10
00
11
10
10
11
01
00
10
10
00
01
10
11
11
10
00
00
00
01
10
10
00
01
11
10
00
10
00
01
11
00
10
10
01
10
00
00
01
10
11
00
10
00
00
11
00
10
10
00
00
11
01
10
00
00
00
00
01
11
10
10
00
11
11
01
01
10
01
11
10
01
00
10
10
00
00
10
10
00
01
11
10
00
11
00
10
10
00
11
10
00
10
10
00
10
00
00
10
00
11
11
00
10
10
11
01
11
11
10
00
10
00
00
11
00
00
00
10
11
00
10
10
01
00
10
01
11
11
10
11
00
00
00
01
10
10
01
00
10
00
01
01
10
11
10
11
10
00
00
10
01
00
10
10
01
10
11
01
00
01
01
11
11
10
01
01
10
11
00
01
10
00
11
10
01
01
10
01
11
10
00
01
10
11
10
00
00
10
01
00
11
10
00
01
10
10
10
00
11
00
00
10
10
11
11
00
00
01
11
00
00
10
00
10
10
00
00
00
10
01
10
01
00
11
00
10
10
00
01
01
00
10
00
10
10
01
00
10
10
00
10
00
01
10
11
00
00
01
00
10
11
01
00
10
10
01
10
10
00
01
10
00
10
11
10
11
11
11
00
10
00
00
10
00
00
10
10
00
10
01
00
00
10
10
10
00
10
10
00
01
10
00
10
01
10
00
00
10
10
00
10
01
11
01
00
10
00
10
10
00
10
10
00
00
10
10
01
01
10
10
00
10
10
10
00
01
10
11
00
01
11
10
00
10
11
01
00
11
10
00
01
01
00
11
00
00
00
00
11
01
00
10
10
10
01
00
11
00
01
00
10
00
10
10
01
10
10
00
11
00
00
11
10
10
00
00
00
10
11
10
00
10
01
11
10
01
10
10
11
11
10
00
10
00
10
10
01
00
10
00
10
01
00
01
11
10
00
10
00
10
01
01
10
10
10
10
01
00
00
10
11
10
00
11
00
01
00
00
10
10
10
10
00
01
10
11
01
11
00
00
10
01
11
10
01
10
00
00
10
10
10
10
00
10
01
10
00
10
00
01
11
10
00
00
10
01
01
00
00
11
10
10
11
01
10
00
01
11
00
01
10
00
00
00
11
10
11
01
10
00
10
01
00
01
10
10
00
01
10
11
01
00
00
00
10
00
00
10
11
00
01
00
10
10
11
01
00
11
11
01
00
00
01
01
01
10
10
01
01
01
10
10
01
10
00
10
11
00
00
10
10
10
00
00
00
11
10
10
01
10
10
10
10
00
00
10
11
11
01
10
00
10
10
00
00
01
00
11
00
11
10
00
10
00
11
00
10
00
01
01
11
11
10
10
00
11
00
11
10
01
00
10
00
00
10
10
00
01
10
11
10
00
11
00
00
10
11
00
11
10
00
10
10
00
10
01
00
00
10
01
00
00
10
00
10
10
00
10
10
11
01
11
01
01
00
10
01
11
10
00
01
10
00
00
10
10
10
00
01
10
11
11
01
11
01
10
10
10
11
10
01
01
11
00
00
10
00
00
10
11
01
01
00
10
10
00
00
11
00
01
10
10
10
00
10
00
10
10
00
10
11
10
11
01
01
00
01
10
01
01
10
10
00
00
10
00
10
11
00
01
00
11
00
01
10
11
01
01
10
10
10
01
11
10
11
00
01
00
00
00
00
10
01
11
10
01
10
10
10
00
10
10
10
00
01
10
00
00
00
00
01
10
10
10
01
10
11
10
00
01
00
00
10
10
00
10
01
00
00
11
10
01
10
01
10
10
00
10
00
11
00
01
00
11
00
10
00
00
11
10
11
00
10
01
11
00
11
01
00
00
00
10
11
11
01
01
11
11
00
10
10
10
00
00
10
00
01
11
00
10
11
10
10
00
00
11
00
10
11
11
00
00
10
00
10
11
10
10
00
00
00
10
11
00
10
10
10
01
01
10
01
01
01
00
10
11
00
11
10
00
00
10
10
00
00
10
00
01
01
00
10
00
10
10
10
10
10
10
01
10
01
01
10
10
00
10
10
11
01
00
10
00
10
10
11
01
01
11
11
10
01
01
10
11
01
00
10
10
00
10
00
10
10
00
00
01
10
10
10
10
00
10
00
00
10
11
11
10
00
10
00
00
10
10
10
10
00
00
10
00
10
10
11
11
00
01
01
11
00
10
00
00
00
10
10
11
01
00
11
11
10
11
00
00
00
10
10
10
11
01
00
11
00
01
00
10
10
10
01
11
00
00
01
00
01
00
00
11
10
11
01
10
11
00
01
01
00
10
11
00
00
00
11
10
11
01
00
01
01
00
00
10
10
01
01
11
01
01
11
00
00
00
11
10
00
00
10
00
01
10
10
11
01
00
00
11
11
11
10
11
10
01
00
00
11
10
10
00
00
10
00
00
11
10
01
00
10
00
10
00
01
01
10
00
00
00
10
00
00
10
00
10
10
10
10
00
01
11
10
00
11
11
00
11
10
11
01
00
11
01
00
11
11
01
00
00
10
01
10
10
00
00
11
00
10
00
10
11
01
10
01
10
10
00
00
10
00
00
11
10
10
00
00
10
00
10
11
01
01
00
11
10
01
01
00
00
11
00
01
01
10
01
00
10
10
00
11
01
11
00
01
10
11
11
01
00
11
00
10
00
01
10
00
00
00
10
00
11
10
01
01
00
11
11
00
10
10
01
00
01
10
01
00
10
01
00
10
10
01
00
10
10
01
01
10
01
01
11
11
10
10
01
10
10
00
01
10
00
10
00
11
00
11
10
00
10
10
11
00
00
10
10
10
10
10
10
11
10
10
10
01
00
00
00
00
10
11
11
00
00
11
01
11
00
00
11
10
10
11
01
01
10
10
10
00
00
00
00
11
10
00
01
00
10
01
10
11
10
10
10
01
01
10
11
00
01
01
10
01
00
00
10
00
00
10
00
00
01
00
00
01
01
10
00
11
11
10
00
01
00
10
00
00
10
01
01
00
10
00
10
00
10
10
01
00
10
00
10
10
00
11
00
10
00
01
10
00
10
00
01
00
00
10
00
11
00
00
10
11
10
01
00
10
11
00
00
10
10
01
10
10
11
10
00
00
11
11
10
00
01
00
00
00
10
11
00
01
11
01
10
11
01
00
11
11
00
01
00
00
00
00
11
10
00
00
10
11
00
10
00
10
10
10
11
00
01
00
10
10
00
01
11
11
00
00
00
10
10
10
01
10
10
01
10
01
00
10
10
10
00
00
10
11
00
10
01
00
11
11
10
00
01
11
10
00
01
11
10
10
00
00
01
01
10
10
00
01
11
10
00
00
01
11
10
00
11
11
01
01
10
11
01
11
10
11
11
10
01
01
01
00
10
10
11
11
00
01
10
00
10
00
01
01
10
11
00
01
10
11
01
10
11
10
01
10
00
01
11
10
00
11
10
10
01
01
00
01
00
00
00
10
11
11
00
01
00
01
10
10
10
01
11
10
00
00
00
11
00
00
00
00
01
10
10
00
01
11
10
11
10
11
00
00
00
10
00
00
10
10
10
11
00
01
10
11
11
10
10
01
00
10
10
00
00
10
00
00
00
10
10
10
10
01
10
00
00
10
00
00
10
10
10
10
01
01
10
10
00
00
00
11
10
01
00
11
10
11
00
00
10
01
10
10
11
00
01
00
00
10
10
11
01
01
10
10
10
10
00
10
00
01
11
10
10
10
10
10
10
00
00
00
10
00
10
00
00
11
01
11
00
00
00
01
00
01
11
10
11
10
11
00
10
11
11
01
00
00
10
00
10
10
10
01
10
00
00
10
00
00
11
10
11
01
11
11
10
00
10
11
00
00
10
00
11
10
00
00
10
00
00
10
01
00
10
10
11
11
00
00
10
01
10
10
00
11
00
01
01
01
11
11
10
00
00
11
10
10
01
00
10
10
01
00
10
10
00
10
10
00
10
10
00
01
01
11
00
11
10
01
11
01
10
00
01
10
11
00
01
00
01
00
11
01
10
01
00
10
01
01
10
00
00
10
01
10
10
00
01
00
00
10
01
10
10
10
10
00
10
00
10
10
11
10
00
11
01
10
11
00
00
01
10
11
01
11
01
11
01
01
01
00
10
10
01
00
11
10
10
00
01
10
00
11
01
10
00
00
11
10
10
11
00
00
00
11
10
00
00
10
00
10
11
00
01
00
10
10
11
10
10
00
00
00
01
10
10
00
00
10
11
10
10
11
01
10
00
00
00
00
10
11
01
00
10
00
01
00
10
01
00
10
00
10
00
11
10
01
00
11
00
10
11
00
00
10
10
10
00
00
00
11
00
11
11
00
11
00
01
00
01
00
00
01
10
01
11
11
00
10
01
10
00
00
10
10
11
00
00
10
00
00
00
01
10
00
11
10
01
01
10
10
00
01
00
10
10
10
01
01
10
00
01
10
10
11
01
00
10
10
01
01
00
10
10
01
00
00
10
10
01
10
01
10
10
00
01
01
00
00
10
10
00
10
11
01
10
10
10
00
00
11
00
11
10
00
10
10
00
01
11
10
01
01
01
10
01
11
00
00
11
10
10
00
00
10
10
00
10
10
01
01
11
00
10
10
10
01
00
10
10
10
10
10
10
00
10
00
10
11
10
00
00
00
11
10
00
10
01
00
10
00
11
10
00
01
10
00
01
00
00
10
10
11
00
10
00
10
00
00
11
00
10
01
00
00
00
10
10
00
10
10
00
11
01
01
01
11
11
01
00
00
10
10
00
00
11
00
10
00
00
10
10
10
01
00
01
10
00
10
10
10
00
10
10
00
00
00
00
00
11
01
11
11
00
00
10
10
11
10
01
00
00
00
11
10
11
10
00
00
01
00
11
01
00
00
10
01
01
11
10
01
10
10
01
10
10
01
10
11
01
00
10
10
10
10
00
01
01
01
11
11
00
00
11
10
01
00
01
11
11
01
00
00
01
10
10
10
10
00
00
11
10
00
01
10
10
10
00
00
10
10
10
10
10
10
00
10
11
01
00
10
11
00
10
00
00
10
00
00
10
00
00
00
10
10
01
11
10
00
00
00
00
00
10
11
10
10
00
10
00
01
10
11
10
00
00
10
10
01
10
00
00
10
10
10
01
11
11
00
00
00
00
11
10
00
10
11
00
10
11
10
10
01
11
11
10
10
01
11
10
11
01
00
01
10
11
01
00
01
00
11
01
10
11
10
11
00
11
11
10
11
00
10
10
11
11
01
10
11
00
10
11
00
01
01
11
11
00
00
10
01
00
10
10
00
10
11
00
00
01
11
11
00
10
10
10
01
11
10
00
00
11
10
01
10
00
01
10
00
00
01
10
10
00
10
01
01
01
00
11
00
11
10
01
00
11
10
00
10
10
11
00
10
00
10
01
00
01
10
11
11
00
00
10
10
01
10
00
01
11
10
01
11
10
00
10
00
00
10
10
10
00
10
01
10
00
00
01
11
01
00
10
11
00
10
00
00
10
01
00
00
00
00
00
10
10
01
00
10
11
10
10
10
10
01
00
01
01
00
10
10
01
00
01
10
10
10
01
00
01
00
10
01
00
00
10
11
01
00
01
01
00
00
10
00
01
10
10
11
00
11
01
10
10
00
01
11
01
00
10
10
00
01
11
10
00
00
00
01
10
11
10
11
10
10
00
10
01
00
00
10
10
00
10
10
00
00
01
01
11
11
01
11
10
00
10
10
00
00
00
00
11
11
10
10
01
00
10
01
10
11
00
11
10
11
10
00
11
11
11
01
00
11
00
01
01
10
11
00
01
11
01
00
10
10
00
10
11
00
10
00
00
10
10
00
00
01
10
10
01
10
10
00
01
10
10
00
00
01
10
00
10
00
00
11
10
00
01
00
10
10
01
00
11
01
01
11
01
11
01
10
11
10
00
10
10
10
00
01
10
00
00
11
00
11
01
10
01
10
10
01
01
11
00
00
10
01
00
10
00
01
10
11
01
10
10
00
11
10
00
00
00
00
10
01
01
01
10
10
00
00
00
01
11
11
10
11
00
01
11
10
01
10
11
00
10
11
11
00
10
11
00
11
01
11
01
00
00
10
10
00
11
00
00
10
01
11
00
00
00
00
10
10
10
00
10
10
01
00
11
11
00
10
11
11
10
00
11
00
01
10
01
10
10
00
10
10
00
10
00
11
10
10
00
11
00
00
10
11
10
00
01
00
11
10
00
10
01
00
00
10
10
00
01
10
00
10
11
00
10
10
01
11
00
10
01
00
00
10
10
00
00
00
11
00
11
01
01
10
01
11
01
10
10
00
00
11
00
10
10
01
10
01
10
10
11
01
10
00
10
01
10
01
10
00
00
10
10
10
00
10
00
11
00
00
11
10
01
11
00
01
01
10
00
01
10
10
00
01
10
00
10
00
00
00
00
11
00
11
00
01
01
00
01
11
00
01
10
11
00
00
10
01
00
10
10
00
00
00
00
11
00
11
01
00
00
00
10
01
00
11
10
00
00
00
00
10
01
00
10
00
00
01
00
10
00
10
01
10
10
11
10
10
00
00
00
00
10
11
11
01
10
11
10
01
10
11
00
00
00
11
11
01
00
11
11
01
11
10
10
00
01
10
10
00
00
01
10
10
00
10
00
10
11
11
01
11
10
01
10
10
01
00
11
10
00
01
11
10
00
10
10
10
10
00
00
00
11
10
01
00
10
01
10
11
11
10
01
01
10
10
01
10
00
00
10
10
11
00
01
11
01
01
00
00
11
00
00
10
10
00
00
10
11
10
01
00
00
00
00
01
10
00
01
01
10
01
11
11
00
10
01
10
11
00
01
10
10
00
01
01
10
10
00
11
10
01
01
00
00
00
10
11
11
01
10
01
00
10
10
10
01
10
10
00
11
10
00
10
11
01
00
00
00
00
01
10
00
00
00
10
10
10
11
01
00
10
00
01
00
00
10
10
00
11
00
00
11
10
01
10
01
10
01
00
10
10
10
11
01
10
11
00
10
00
00
11
01
00
10
11
00
10
00
00
01
10
10
10
10
01
00
00
10
10
00
00
00
10
11
01
10
01
00
00
00
11
10
10
00
10
11
10
01
00
10
10
10
10
00
10
10
00
00
01
00
11
00
00
01
10
10
10
10
01
10
01
00
00
11
00
10
01
00
11
00
00
01
10
10
11
00
01
01
00
10
10
10
10
00
00
00
10
11
01
01
01
01
01
10
11
10
11
10
00
00
10
01
01
00
10
00
00
01
10
10
00
10
10
11
01
10
01
01
10
10
10
01
00
11
10
00
10
11
10
00
10
10
00
00
10
01
00
01
01
00
00
10
00
01
11
01
10
10
10
11
00
01
01
10
01
00
00
10
11
01
00
11
10
11
10
10
00
01
10
10
11
01
00
10
10
00
00
10
11
10
10
10
00
10
00
10
10
00
00
10
01
11
01
00
00
10
10
10
10
00
10
10
00
10
00
00
10
11
10
01
10
10
01
01
00
10
01
00
00
10
01
10
11
00
10
10
00
00
01
11
10
00
10
01
00
10
00
00
10
11
11
01
10
00
10
00
11
00
11
11
11
00
01
00
00
11
10
11
01
01
11
11
10
11
10
11
01
00
10
11
00
00
11
01
10
01
01
00
00
10
10
00
01
10
10
11
00
10
00
10
10
00
10
11
10
10
10
11
00
00
11
01
00
01
10
00
11
00
01
10
10
00
00
01
01
00
10
01
00
11
00
11
11
10
11
00
01
10
00
00
01
10
10
00
00
10
11
00
10
11
10
10
01
00
10
10
01
00
00
11
00
11
10
01
00
10
00
00
11
10
00
00
00
10
10
10
00
11
01
00
00
10
00
10
11
00
00
11
01
00
10
00
00
10
11
11
11
10
01
10
00
10
01
00
00
11
10
10
11
00
00
10
10
01
11
01
00
11
11
01
11
11
00
10
10
10
10
00
10
10
11
11
10
10
00
00
01
00
00
11
10
01
00
00
11
01
01
00
01
10
00
10
10
01
01
10
10
10
00
10
10
00
11
10
10
10
00
00
01
10
11
10
00
01
10
00
00
01
11
10
00
01
01
00
00
10
01
00
00
00
10
10
10
01
10
10
00
01
11
00
10
10
00
00
10
00
00
10
01
00
10
00
00
11
10
01
11
00
00
00
10
11
10
00
10
10
10
00
01
00
10
11
00
00
10
10
10
01
00
00
00
00
00
00
11
01
11
11
11
00
10
10
00
00
10
10
10
00
10
10
00
10
00
00
00
01
00
00
11
00
10
10
01
10
11
00
01
00
10
01
00
00
10
10
10
11
11
00
00
00
11
10
11
01
00
10
01
00
00
10
10
00
10
11
00
00
11
00
10
00
10
01
00
00
10
10
11
00
10
00
10
10
01
01
10
00
11
00
01
01
10
11
10
00
01
10
10
01
00
00
00
11
10
11
01
10
01
10
10
00
00
01
11
11
00
00
11
11
11
11
00
10
00
10
10
00
11
10
10
00
01
10
10
00
10
00
10
00
11
00
10
00
10
11
10
00
00
01
10
01
10
10
11
00
01
00
00
10
01
01
11
11
00
10
11
11
10
11
01
00
01
00
11
10
01
00
10
10
00
00
11
10
01
00
01
00
10
00
10
01
00
11
10
10
00
11
00
00
11
10
01
01
01
00
00
10
10
01
10
11
00
00
10
11
00
00
11
01
01
10
10
10
10
01
01
10
00
11
10
01
00
11
11
10
00
01
00
00
01
10
00
11
10
10
00
01
10
00
00
01
01
10
10
00
10
10
01
11
01
00
10
00
10
00
11
10
00
10
01
01
01
10
11
00
10
00
00
10
10
00
01
00
00
10
11
11
10
10
10
11
10
01
00
11
01
10
01
10
10
11
01
01
00
11
10
11
11
01
01
10
10
10
10
00
10
01
00
10
11
10
10
10
00
00
10
10
10
10
00
00
00
10
00
11
10
11
01
00
10
10
00
11
00
01
01
11
01
00
11
00
11
10
10
01
00
11
00
11
11
01
01
00
00
11
11
11
10
00
11
10
10
11
00
01
00
10
10
01
10
01
10
10
11
00
10
00
10
11
00
11
00
01
10
10
10
00
00
11
00
01
00
00
10
10
10
10
00
01
11
10
10
11
00
00
01
11
01
10
01
00
11
10
00
00
10
00
11
11
01
01
00
10
00
10
11
01
00
11
10
11
10
01
00
10
10
00
10
10
11
00
10
10
00
11
11
10
00
11
10
01
11
00
00
10
10
10
01
00
11
10
10
00
10
10
11
00
10
01
00
10
10
10
00
10
10
10
00
00
11
00
00
00
01
00
10
11
10
00
10
11
10
00
01
11
10
00
10
00
00
10
00
10
10
01
11
10
01
10
10
00
10
00
11
00
00
00
10
11
10
10
10
01
11
11
00
01
10
10
00
10
10
01
01
10
01
11
00
10
00
00
01
10
10
01
11
10
11
11
00
10
00
00
00
00
11
00
00
00
10
00
01
01
00
11
10
00
10
11
00
11
11
01
01
10
10
00
11
00
11
10
01
00
10
00
00
11
10
10
01
10
11
00
00
01
11
11
01
00
10
11
00
10
00
00
10
11
00
00
00
01
00
10
10
01
10
00
00
10
01
01
10
10
00
00
00
00
00
10
00
01
01
10
00
01
10
00
01
00
00
10
00
10
10
00
11
10
11
10
10
11
10
11
11
00
01
00
00
11
11
00
00
10
10
00
00
10
10
00
01
00
10
10
11
11
01
00
10
01
10
00
00
10
10
10
01
01
00
01
00
00
00
00
01
01
00
10
10
11
10
10
10
11
10
00
10
00
00
11
10
11
00
00
00
00
11
10
11
00
01
10
01
10
00
01
10
11
00
00
10
00
00
00
11
10
10
01
00
11
00
11
10
01
00
00
01
10
00
01
00
11
10
01
10
01
11
11
00
00
11
11
00
00
00
01
10
11
00
10
01
01
10
01
10
10
01
00
01
11
10
00
01
01
11
10
00
11
11
10
00
00
11
00
00
10
11
11
01
01
11
00
10
10
00
10
00
00
10
00
00
10
01
00
10
10
10
01
10
01
00
11
11
10
01
10
10
11
11
01
10
00
01
00
10
10
10
10
00
10
00
00
10
01
01
10
11
00
10
10
01
00
00
00
01
10
11
00
10
11
10
00
01
00
11
10
00
10
10
00
00
00
01
00
01
00
10
00
10
00
00
00
11
11
10
00
10
00
00
00
10
11
00
11
10
10
01
10
01
11
10
00
01
10
01
01
10
11
10
10
01
01
10
10
10
00
01
01
11
11
00
00
10
00
00
10
00
11
10
01
10
10
10
11
00
01
10
00
01
01
01
01
00
10
00
01
10
00
00
10
01
00
10
00
01
00
00
01
01
11
00
00
11
10
11
01
10
11
10
10
00
10
00
00
10
10
10
11
10
01
10
10
00
00
10
01
10
10
00
01
10
11
00
00
01
10
11
00
00
10
11
00
10
01
00
11
10
00
11
01
11
01
10
11
01
01
00
11
11
00
10
11
01
00
00
10
01
00
10
10
01
00
01
10
11
10
00
10
00
10
00
10
10
00
00
11
11
00
01
00
00
00
00
11
00
10
11
01
00
10
10
00
10
00
10
01
00
10
01
11
11
00
10
01
11
11
00
00
00
10
10
11
00
00
10
10
00
11
00
00
00
01
01
00
11
10
01
00
00
10
01
00
00
00
11
10
00
00
11
11
10
11
00
10
10
00
10
00
10
10
10
11
10
00
00
11
00
00
01
00
11
10
00
01
00
00
00
00
10
10
01
10
10
00
00
10
10
10
11
10
01
10
01
10
11
11
00
00
11
10
00
01
00
00
00
11
10
00
01
11
00
10
01
00
00
11
10
00
01
00
01
11
00
10
10
11
10
10
01
00
01
11
10
10
00
01
11
01
00
10
00
00
00
10
00
01
11
10
00
01
11
00
11
01
10
01
10
00
10
00
00
00
10
10
10
01
01
11
10
10
01
10
10
11
00
01
10
10
11
10
10
00
11
10
11
00
10
00
00
00
11
00
00
11
00
00
00
01
00
10
10
00
11
00
00
10
00
10
00
10
10
00
00
10
01
00
00
10
11
10
01
00
00
11
10
00
01
10
11
11
11
00
01
10
01
00
10
10
00
00
10
10
00
00
10
10
11
00
10
10
11
00
11
10
00
10
00
00
10
10
11
00
00
10
01
11
01
00
01
10
10
11
00
10
00
00
10
00
11
10
10
11
00
01
11
10
00
10
00
00
10
11
10
10
00
10
10
00
00
11
10
01
10
01
11
11
00
00
11
01
00
10
11
10
10
00
01
11
11
00
00
01
10
01
00
01
10
10
10
01
00
10
10
00
10
10
00
10
00
01
10
11
01
01
11
10
10
00
01
11
00
11
10
10
00
00
01
01
00
10
00
10
10
01
00
11
10
00
10
00
00
10
01
00
00
10
00
00
00
11
10
11
01
10
11
11
10
10
00
00
01
11
11
01
10
11
10
00
01
00
11
11
01
00
00
11
11
10
10
01
01
11
10
01
11
00
01
01
10
10
01
10
10
01
01
10
01
00
10
00
01
10
00
10
00
10
00
00
10
10
01
10
00
00
00
00
00
10
01
00
01
00
11
11
01
00
10
10
00
00
10
10
01
01
00
00
10
11
10
10
10
10
11
00
10
01
01
10
10
00
11
11
10
10
11
10
11
00
00
01
10
00
00
00
10
10
00
10
00
00
00
00
10
11
11
10
10
01
11
10
11
01
01
10
11
11
00
00
11
00
01
00
10
00
11
01
10
10
10
10
00
00
00
10
00
10
00
10
10
10
11
00
01
10
01
01
01
10
11
10
10
11
01
00
10
11
00
00
10
01
11
00
10
00
11
10
11
00
00
00
00
00
11
10
00
00
00
10
00
01
10
00
11
01
00
00
10
00
11
00
10
00
01
00
10
10
00
00
10
00
10
01
00
01
10
00
01
10
01
10
10
00
10
01
10
00
00
10
10
00
00
01
10
00
10
11
00
10
10
00
00
01
11
10
10
10
01
01
00
01
11
11
00
10
01
11
00
00
10
11
00
01
00
01
00
10
11
00
00
11
01
11
10
00
00
10
01
11
11
00
00
01
10
10
11
01
01
10
10
10
01
10
00
10
01
11
11
10
01
00
10
00
01
01
10
00
00
11
11
00
10
11
00
01
11
10
00
00
00
10
10
11
00
01
00
00
01
10
10
11
11
00
11
00
10
11
00
01
00
00
10
01
01
10
01
00
00
01
00
10
11
01
01
11
00
01
10
00
10
10
00
00
11
10
01
01
00
10
11
10
00
00
10
00
00
00
00
00
00
01
10
11
10
10
10
00
11
10
01
00
00
10
10
10
00
00
10
10
10
11
10
00
10
00
10
00
10
10
11
00
00
10
00
11
01
11
10
00
01
01
10
00
00
11
10
10
11
01
00
00
00
00
10
10
00
10
01
01
10
10
10
10
00
00
10
00
00
10
10
10
11
11
00
01
00
10
10
00
01
11
10
00
00
01
10
00
01
00
01
10
10
10
11
00
10
00
00
10
01
01
00
00
00
11
00
01
11
01
00
01
10
00
11
10
00
00
11
11
01
00
00
11
01
10
11
10
00
01
11
01
00
10
01
00
00
00
10
10
11
10
10
01
00
10
00
10
01
10
11
00
00
10
11
10
10
10
11
00
00
11
00
10
10
10
11
01
00
10
11
10
10
00
01
11
10
01
11
00
00
10
00
00
00
00
10
00
01
00
10
00
00
11
11
10
10
01
01
10
10
00
10
10
00
00
10
11
11
11
01
11
01
00
10
01
00
11
11
11
00
00
11
10
10
00
10
01
00
10
11
01
01
00
00
10
10
10
11
00
01
00
01
00
10
00
01
10
10
10
00
11
10
10
10
01
01
10
00
00
00
10
00
00
10
00
11
00
10
11
01
01
00
11
10
01
10
01
10
11
10
10
11
00
11
10
00
01
01
00
10
11
00
10
10
10
00
10
11
00
11
10
10
00
00
00
00
01
00
11
10
01
00
00
01
10
10
01
00
01
00
11
11
10
10
00
10
10
10
00
10
10
00
01
10
11
01
00
10
00
00
10
10
00
00
00
00
00
10
10
10
10
00
00
10
00
00
00
10
11
00
00
11
10
01
10
10
01
10
11
10
00
11
00
00
11
00
00
10
10
00
00
10
10
10
00
00
00
10
11
10
01
10
00
10
01
10
01
11
10
10
11
10
10
10
00
10
00
00
00
10
00
10
00
10
11
10
11
10
11
11
00
00
00
01
10
11
01
01
10
01
11
00
00
10
00
00
10
10
10
10
10
00
10
00
10
11
10
01
11
11
10
10
00
11
10
00
01
11
10
01
00
10
10
10
00
00
01
11
01
10
10
01
00
10
10
10
00
10
10
00
10
11
01
01
00
10
01
00
10
00
10
01
10
10
00
01
10
01
00
11
00
11
00
10
10
00
11
01
00
11
01
01
01
10
10
00
01
11
01
01
11
00
00
01
11
00
11
10
01
11
10
11
01
11
10
01
01
10
11
00
00
10
10
00
01
01
10
11
01
00
10
10
11
10
10
00
00
00
10
00
10
10
00
01
00
11
00
00
10
00
10
00
00
11
11
00
11
11
11
00
00
00
10
10
10
10
00
00
00
10
11
00
00
11
00
10
10
10
10
10
00
10
10
11
10
00
10
00
00
01
01
11
00
00
11
10
10
00
00
10
11
11
00
11
10
10
11
10
01
01
10
11
10
01
10
11
00
10
11
00
11
10
10
00
00
00
10
11
01
00
10
01
00
01
00
11
01
00
00
10
00
11
01
00
11
00
00
11
00
00
00
01
10
00
10
10
01
00
10
11
10
00
00
00
10
11
10
01
00
10
10
01
00
01
11
10
10
10
00
01
10
10
10
10
00
10
10
00
00
11
01
00
11
10
00
00
11
00
00
01
10
00
01
10
10
00
11
01
10
11
00
01
10
00
10
10
00
00
01
11
01
00
10
10
00
10
10
00
11
10
01
00
11
00
11
10
01
11
00
10
01
01
11
00
10
11
01
00
11
11
01
00
10
00
10
11
00
01
10
10
00
01
11
10
01
10
00
10
10
01
00
10
10
10
00
10
00
01
00
10
11
00
11
00
10
11
00
00
01
10
10
10
10
10
10
10
11
11
00
11
01
10
00
00
00
01
11
10
10
10
01
10
11
00
00
11
00
00
11
10
00
01
00
00
00
10
00
10
10
01
01
00
11
01
00
10
00
10
10
00
00
00
10
10
10
01
11
10
11
01
10
10
00
11
11
10
00
00
01
10
00
10
01
01
10
01
11
00
11
01
01
00
10
10
00
10
01
00
10
10
00
11
00
01
10
11
11
00
01
01
10
10
10
01
00
01
11
00
10
10
00
10
11
00
10
00
10
10
00
00
10
11
00
01
01
11
00
10
11
10
10
01
00
10
10
01
00
11
10
00
00
11
00
10
01
00
10
10
00
00
00
10
10
10
01
10
00
01
10
11
10
00
00
10
11
00
00
10
10
01
00
00
00
10
00
00
11
11
11
01
00
00
10
10
01
00
10
10
00
10
01
00
00
10
10
00
11
00
00
01
00
10
11
01
10
10
00
11
00
10
10
10
00
00
01
10
00
00
11
01
11
00
00
11
00
10
11
10
00
00
10
00
10
11
10
01
00
10
00
10
01
01
11
10
00
00
00
00
01
11
11
10
01
10
00
10
00
01
01
10
10
00
10
11
00
00
10
00
01
11
11
10
01
00
00
00
01
10
00
10
00
11
00
01
00
01
01
10
01
00
10
01
10
11
00
10
10
00
10
00
11
10
10
00
00
01
00
11
10
01
10
00
00
10
01
00
11
10
00
10
11
11
01
01
10
01
00
10
01
00
11
10
00
00
10
00
01
00
10
00
10
01
00
10
11
11
01
11
11
10
01
11
10
11
00
00
00
00
10
10
10
01
00
10
01
00
11
10
00
11
10
00
00
10
10
00
00
11
10
00
00
01
01
10
11
00
11
10
01
10
00
00
11
10
10
10
10
01
01
00
10
11
10
11
11
00
01
10
11
10
00
01
11
00
00
00
10
00
01
00
11
10
00
11
11
01
00
10
01
00
10
11
01
01
01
00
10
10
11
01
00
10
10
00
10
11
01
00
10
10
10
00
10
10
10
11
10
11
00
10
00
10
11
00
11
11
00
01
00
10
11
10
10
10
10
00
10
11
00
01
10
11
00
00
11
01
11
10
00
01
10
10
00
10
10
10
01
10
10
01
00
10
00
00
10
00
00
00
00
10
10
10
00
00
00
10
01
00
00
10
01
11
00
00
10
00
01
00
01
10
11
10
11
01
10
11
01
11
10
10
01
00
01
10
10
10
00
10
10
11
01
00
11
00
11
11
00
00
00
10
10
01
10
11
11
00
01
10
10
00
00
10
11
10
00
00
00
11
00
01
01
11
10
11
10
00
00
11
10
00
00
10
10
10
10
01
01
10
00
00
11
11
11
00
10
00
01
11
00
10
11
01
01
00
01
10
10
01
10
11
00
10
11
01
10
00
11
00
01
00
00
10
10
10
00
01
00
11
11
10
10
00
00
10
11
00
01
00
01
11
01
11
10
11
00
11
00
00
10
10
00
01
10
10
00
01
01
10
10
01
00
01
01
11
11
11
00
10
10
00
00
10
00
00
00
11
00
10
11
11
10
00
11
10
10
01
00
01
00
10
10
11
01
00
11
10
11
00
11
00
00
10
00
10
10
10
00
10
11
10
10
01
10
10
10
00
01
11
11
00
01
00
00
10
10
01
00
11
11
00
00
10
10
00
10
11
01
10
11
11
11
10
10
10
10
01
01
00
11
00
01
00
00
01
10
00
11
10
01
01
00
10
00
00
00
00
10
10
00
00
11
00
10
00
00
00
00
11
10
11
00
00
11
00
01
00
01
10
10
10
11
10
01
11
10
00
00
00
01
01
10
00
00
11
10
11
10
10
01
10
00
10
00
01
00
10
00
11
10
00
10
10
10
00
00
11
01
00
11
10
01
10
11
10
10
10
00
01
10
10
00
01
00
01
00
10
00
10
00
00
10
10
00
01
00
11
10
10
01
10
10
11
10
00
01
00
10
00
00
00
10
11
10
10
01
00
10
01
01
10
10
10
10
00
10
01
10
01
00
10
01
00
10
10
10
00
10
10
00
10
10
10
00
00
10
01
10
10
00
11
00
01
10
10
00
10
00
00
01
10
11
00
00
10
11
11
00
00
10
10
00
00
10
10
10
00
10
00
10
00
00
00
00
10
10
00
00
10
10
00
10
00
00
10
01
10
01
00
11
01
00
10
00
10
10
11
00
00
00
10
00
00
01
11
00
00
10
10
10
00
00
10
11
00
11
00
00
00
00
01
10
10
11
00
01
11
00
10
00
10
10
00
10
11
01
01
00
00
01
10
10
00
10
00
01
11
10
10
11
00
10
10
00
00
11
11
01
10
00
00
11
10
00
10
10
00
01
10
10
10
01
10
01
00
11
10
01
01
01
11
10
00
00
10
01
00
10
11
00
11
10
01
00
00
10
00
00
11
10
00
11
10
00
00
01
10
10
00
00
01
10
00
00
10
00
10
10
01
11
10
00
10
00
00
01
01
10
11
00
00
01
01
10
10
00
10
00
00
11
01
01
11
00
01
10
10
01
10
11
00
00
00
00
11
00
11
10
00
00
00
00
10
01
00
10
10
10
00
10
10
11
01
00
00
10
00
11
10
00
11
10
00
01
10
00
11
10
01
01
11
10
00
11
00
11
01
11
10
00
00
11
11
01
00
10
11
01
00
00
01
10
01
00
00
00
10
11
00
00
11
10
00
10
00
10
00
10
00
00
00
10
00
01
11
00
11
00
01
00
00
00
10
00
00
10
10
11
00
10
00
01
01
11
10
10
11
00
10
10
10
00
00
11
01
01
11
10
01
00
10
01
10
10
00
01
10
00
00
10
11
00
11
00
00
10
11
00
00
10
10
00
00
10
11
00
00
10
00
00
00
10
01
01
10
11
00
00
10
11
00
11
10
00
11
10
10
00
00
11
00
11
11
00
11
11
00
00
00
10
10
00
00
00
00
10
00
00
11
01
10
11
00
01
00
00
01
10
10
00
00
10
11
10
01
00
01
11
10
00
10
10
00
11
00
00
11
00
11
10
00
11
10
00
00
00
10
00
00
10
10
00
10
11
10
00
01
10
01
11
01
10
00
00
01
01
11
10
10
10
11
00
10
01
00
11
11
11
00
01
10
00
01
10
11
00
00
11
10
00
11
10
01
00
10
00
10
10
01
11
00
10
00
10
10
10
10
00
10
10
01
10
00
00
01
00
00
01
00
10
00
01
10
11
11
00
10
11
10
00
00
10
10
10
11
01
00
10
01
00
00
00
10
01
00
11
00
10
10
10
00
10
10
00
10
00
10
10
00
10
01
00
10
10
00
10
11
01
00
00
10
10
10
11
01
00
10
01
00
00
11
10
00
01
10
11
00
00
10
11
01
00
00
00
11
01
00
11
10
10
00
00
00
11
10
01
00
00
11
00
01
10
10
01
00
10
01
01
11
11
10
10
10
00
01
11
00
00
10
00
01
10
11
10
11
11
00
11
01
00
10
00
00
10
11
01
10
10
10
00
10
00
01
10
00
00
11
01
11
10
10
01
10
00
00
00
11
01
01
00
10
00
00
11
10
01
00
10
01
00
10
10
11
01
10
10
00
11
00
10
10
00
10
00
01
00
10
00
00
10
01
10
10
00
00
00
10
11
01
00
10
00
00
01
11
10
00
00
10
00
01
10
01
11
10
01
01
10
00
10
10
00
00
10
01
00
11
01
01
11
10
01
11
10
00
01
01
01
10
11
00
00
00
11
11
01
11
10
01
00
00
10
10
01
00
11
00
10
10
00
00
01
10
10
11
01
10
00
00
10
10
01
10
01
00
10
00
10
01
10
11
00
11
10
01
00
10
10
01
01
11
00
01
11
11
11
01
00
11
11
10
00
10
01
01
00
10
00
00
11
11
11
00
00
00
10
01
00
10
10
10
11
10
00
00
11
01
10
01
00
10
11
00
10
11
11
10
00
00
00
00
11
01
10
01
00
10
10
00
01
10
00
00
11
11
01
00
00
10
11
10
11
00
11
10
10
00
00
11
10
10
01
10
00
00
10
11
00
10
11
01
10
10
10
00
01
00
11
00
00
10
10
00
10
00
00
00
10
10
10
10
00
10
00
01
10
10
01
00
01
11
00
00
10
01
00
00
10
00
00
11
10
00
01
10
11
00
10
00
10
10
00
10
11
00
00
00
10
01
01
10
00
00
10
00
00
00
00
10
01
10
11
11
01
00
01
11
11
00
00
10
10
01
00
10
00
00
10
01
00
11
10
00
10
00
01
11
10
00
10
00
11
00
00
10
01
10
11
10
01
00
10
01
00
10
10
00
00
11
00
00
00
00
10
00
00
10
00
00
10
11
11
10
00
10
00
10
10
10
11
00
00
10
10
00
00
10
10
01
10
01
11
00
01
10
01
10
00
10
01
11
10
01
01
00
11
11
01
00
10
10
01
10
10
10
00
01
00
01
10
10
00
11
10
00
00
10
10
00
11
11
10
11
01
00
10
01
00
10
10
00
11
10
01
10
00
10
11
01
00
11
11
00
10
00
01
10
00
00
11
00
00
00
00
00
01
11
11
11
11
10
10
00
00
01
10
10
00
10
00
10
10
11
00
00
10
10
00
10
10
01
10
00
10
11
11
11
00
00
00
11
10
11
01
00
11
01
00
01
01
10
10
01
00
01
01
11
10
10
11
01
01
00
10
11
10
10
00
00
11
01
00
01
10
10
10
00
10
10
01
11
00
00
10
10
10
00
01
00
10
00
10
11
01
10
11
10
00
00
00
11
00
00
10
00
00
01
10
00
10
10
10
10
00
01
00
00
11
01
10
01
10
11
00
01
10
00
10
01
01
10
00
10
01
10
01
00
10
00
00
11
10
00
01
01
10
01
11
11
00
01
01
10
11
11
10
00
11
00
01
10
10
10
01
00
10
00
00
10
00
00
10
10
10
01
11
00
11
00
11
00
01
10
00
00
10
11
00
01
10
10
00
10
10
01
11
10
01
01
10
00
00
00
11
10
00
00
11
01
00
11
01
10
11
01
00
01
10
10
01
11
01
10
10
11
10
01
10
10
00
01
11
01
01
01
10
00
11
11
11
01
00
10
00
10
01
10
11
00
10
01
11
00
00
01
10
00
00
00
11
00
10
11
01
01
00
00
10
11
00
00
10
00
00
10
11
10
01
10
11
11
10
00
01
00
11
10
10
11
10
10
01
00
00
00
11
10
01
00
00
00
10
11
00
00
10
10
10
00
00
11
01
01
00
10
00
00
00
10
01
00
10
10
10
00
01
00
10
10
01
10
01
01
11
10
10
00
00
00
11
10
10
10
00
10
10
00
10
01
00
01
00
10
11
10
01
00
01
10
01
01
01
00
00
00
10
00
00
11
10
00
00
00
10
01
01
00
01
01
00
00
10
00
00
00
00
10
10
00
00
11
10
00
11
10
00
10
11
00
00
00
11
00
00
10
10
00
10
00
00
10
00
00
00
00
11
11
00
01
00
11
10
00
01
00
01
11
10
00
11
10
11
01
00
10
10
10
10
00
00
10
10
01
10
10
00
00
10
01
10
00
01
01
10
00
11
00
00
01
10
10
00
00
11
10
10
00
00
10
10
00
00
00
10
10
00
10
00
10
00
11
11
01
00
00
10
00
11
00
00
11
01
11
10
10
10
10
10
01
10
10
10
01
10
10
01
00
10
10
00
10
11
00
00
00
01
10
11
11
01
00
00
10
10
00
00
10
00
00
11
10
00
10
11
01
00
00
11
01
00
11
00
01
00
11
10
00
01
00
00
10
10
11
00
00
00
00
00
01
11
00
00
01
10
11
00
11
11
00
01
01
10
11
10
00
00
11
11
11
11
01
10
00
01
00
10
10
00
00
10
00
11
10
01
00
10
10
10
00
01
10
11
01
10
10
10
01
01
00
10
11
00
01
11
00
00
00
10
00
10
10
00
00
01
01
10
10
11
10
00
10
00
00
11
11
11
10
10
00
00
10
10
00
01
10
00
00
11
10
00
00
00
01
10
11
01
10
00
00
01
00
10
10
11
11
01
01
00
00
10
10
10
00
00
11
10
00
10
10
10
00
01
10
00
00
01
00
00
01
10
01
00
10
00
10
01
00
01
10
11
01
10
11
10
10
00
10
00
10
11
01
00
11
00
10
10
01
11
00
01
10
10
00
10
00
11
11
00
00
01
00
10
10
01
10
10
01
10
11
00
10
10
00
00
10
10
00
01
00
00
01
01
10
10
10
00
01
01
10
10
11
10
01
01
01
01
10
00
00
11
11
10
00
00
10
10
00
01
10
00
00
00
11
10
00
01
10
00
10
11
01
11
00
00
00
10
00
00
11
00
01
11
10
01
00
11
10
01
01
10
10
00
01
10
11
00
00
10
10
00
10
10
00
10
00
00
01
01
00
00
00
10
00
00
10
11
11
01
00
10
10
11
10
01
00
10
10
11
00
00
00
01
10
11
10
10
10
10
00
01
00
11
10
11
10
01
10
00
10
10
10
11
11
01
10
10
11
10
00
00
00
10
11
01
00
00
00
10
01
00
10
00
11
11
10
11
10
10
10
11
00
00
11
10
00
00
01
00
01
00
11
00
00
11
10
00
01
11
11
11
00
00
00
00
10
01
00
10
10
01
10
11
10
11
10
00
10
10
10
00
10
10
10
00
10
10
10
10
10
00
00
10
10
01
00
11
10
11
10
10
10
00
00
10
10
00
11
10
00
01
10
01
01
10
00
10
11
01
11
10
10
10
11
10
01
10
10
00
00
00
00
00
10
00
01
10
01
11
10
00
00
00
10
00
00
00
10
00
10
00
01
01
10
10
10
10
10
11
00
11
00
00
10
00
00
00
00
11
00
10
00
00
00
10
11
00
01
10
00
10
10
01
11
10
00
10
10
00
10
10
10
00
01
00
00
11
00
11
00
00
00
00
10
01
00
11
00
00
10
11
11
00
10
00
11
01
10
11
10
00
00
00
10
01
01
10
01
10
10
00
00
10
00
01
11
01
00
10
10
00
10
00
00
10
10
01
00
10
10
00
10
11
00
10
10
10
10
00
10
10
10
10
10
10
00
00
01
10
11
00
11
11
10
01
10
10
00
01
11
10
00
11
10
10
10
00
01
10
10
11
00
00
11
11
00
00
00
01
10
11
00
10
00
00
11
11
00
01
10
00
11
10
00
00
10
11
10
00
00
11
01
00
10
11
01
00
00
01
01
00
00
01
11
11
10
10
10
10
10
11
00
00
00
10
00
11
10
11
11
01
00
01
10
11
10
00
00
10
01
10
11
01
00
11
00
01
00
00
10
01
00
01
00
01
01
00
10
01
00
11
11
10
00
11
00
01
10
01
10
10
00
00
10
10
01
00
10
10
01
10
00
11
11
00
10
10
10
00
00
00
00
11
10
10
10
01
00
10
00
10
11
10
00
00
01
00
10
11
01
10
11
00
10
10
01
10
00
10
11
00
01
01
11
01
11
10
10
10
00
00
00
10
10
00
00
00
10
10
10
00
00
10
11
01
00
10
10
00
01
00
10
01
10
10
10
10
01
00
00
10
10
01
10
10
01
01
00
10
10
10
10
00
10
10
10
00
00
00
10
01
00
10
00
10
11
00
10
10
01
10
00
10
10
10
00
00
01
11
01
10
01
11
00
00
00
11
11
00
10
10
00
01
11
10
10
10
10
00
10
10
00
00
10
10
10
00
00
00
10
00
10
00
10
11
00
01
00
01
01
01
00
00
00
10
10
10
00
01
10
01
00
10
10
01
11
00
11
10
01
00
10
10
10
10
11
10
00
01
10
00
11
10
00
10
10
00
10
00
01
10
01
00
00
00
11
10
00
00
10
01
01
10
10
10
00
10
00
10
11
00
01
11
01
10
10
00
11
10
00
00
11
10
11
01
00
11
10
10
10
01
00
00
00
01
01
10
10
11
10
10
00
01
01
11
00
11
00
10
00
01
10
00
00
10
10
10
01
10
10
00
10
11
00
01
10
10
10
00
01
11
00
01
00
11
10
11
00
00
00
11
10
01
10
01
10
00
01
10
00
10
00
00
00
10
00
10
00
00
10
10
00
00
10
00
11
00
10
00
10
11
10
11
00
10
11
10
10
11
10
00
00
10
10
11
00
00
01
10
00
00
11
01
10
00
00
01
10
01
00
10
00
10
00
00
10
10
00
10
11
10
01
01
10
01
11
11
00
01
00
11
00
00
11
00
00
10
01
00
01
10
00
11
11
10
11
11
01
10
10
00
11
10
00
10
11
10
10
10
10
00
00
10
00
11
10
00
11
10
00
10
00
10
00
00
01
01
01
10
10
10
11
01
10
01
01
11
01
11
11
11
01
00
11
00
01
11
11
00
10
00
00
10
10
10
11
00
11
00
00
11
00
10
00
10
10
01
00
00
10
10
00
01
11
10
10
10
00
10
00
00
10
00
00
00
01
11
10
00
00
00
00
10
10
11
00
11
10
00
00
00
11
11
00
10
00
00
01
00
00
00
00
00
01
00
10
00
10
01
10
10
01
00
10
00
00
01
10
10
00
00
11
10
10
11
10
10
10
01
00
00
10
11
11
01
10
10
01
10
10
01
00
00
10
01
11
10
00
11
00
01
00
00
10
10
10
00
00
11
00
01
00
10
11
11
01
10
10
01
01
00
00
10
10
00
01
11
00
00
11
00
10
00
11
00
01
11
00
01
10
10
00
00
11
10
00
00
10
01
00
11
10
11
11
00
01
00
00
11
00
11
10
00
01
01
10
01
01
11
01
01
10
11
00
10
00
00
10
10
10
01
00
10
10
01
00
00
10
10
11
00
00
01
00
10
10
01
11
11
00
11
11
00
01
10
10
00
10
00
00
11
10
11
01
11
11
00
01
00
00
10
01
00
11
10
11
10
10
10
11
01
00
11
10
01
10
10
00
00
00
10
00
00
10
00
11
10
10
00
10
10
01
10
10
11
10
01
00
00
10
11
10
01
11
10
01
10
10
00
10
11
00
01
11
01
11
10
10
00
00
10
10
01
01
10
00
10
10
00
10
10
00
00
10
01
00
01
01
10
01
10
01
01
00
01
10
00
00
00
10
10
00
10
10
01
00
00
10
10
01
00
10
00
11
10
00
11
10
10
10
00
10
11
10
01
10
01
10
00
11
10
10
11
11
00
10
00
00
01
10
10
10
10
10
11
11
01
00
10
00
00
10
10
10
00
10
00
00
10
00
10
00
00
11
10
10
00
00
11
11
10
01
11
10
11
00
00
11
01
11
01
00
10
10
00
00
00
10
10
10
00
10
10
00
11
10
01
10
11
01
10
10
10
11
01
11
11
01
00
01
10
10
01
00
11
10
00
00
00
10
00
00
10
01
10
01
10
10
10
10
01
10
00
00
00
10
11
10
00
10
00
00
11
11
00
00
11
10
10
00
10
01
11
11
00
10
10
10
01
00
11
10
01
11
01
01
10
00
01
10
10
10
00
00
00
00
01
11
00
11
11
10
01
01
11
01
00
11
10
01
11
00
01
10
00
00
00
11
11
01
00
11
00
00
11
00
10
10
01
00
00
00
10
10
01
01
10
01
01
10
01
10
10
10
00
00
00
11
11
00
10
11
00
00
00
00
10
11
00
00
10
10
10
10
10
00
10
00
01
10
10
10
11
00
00
11
11
01
01
10
11
00
10
01
11
10
10
00
00
10
11
00
01
00
11
10
10
00
00
00
00
10
10
00
00
10
10
01
11
11
00
10
00
01
01
00
11
00
01
11
00
00
11
11
11
10
00
01
10
11
01
00
10
10
11
00
01
00
00
10
10
00
01
10
11
00
00
11
10
00
11
00
00
11
00
00
10
01
10
10
11
10
01
00
11
11
00
11
00
00
10
11
11
10
11
00
01
10
00
00
00
11
10
00
10
00
01
10
00
00
11
11
00
10
01
00
10
01
10
00
10
01
00
11
10
10
00
01
10
01
00
11
10
01
11
11
11
01
10
10
11
11
10
01
00
00
00
10
00
00
10
11
00
00
10
10
00
00
11
00
10
11
10
10
00
00
01
00
10
00
00
11
00
10
10
00
10
10
00
11
11
00
10
10
00
10
10
10
00
10
00
00
10
00
00
00
11
11
11
11
11
01
00
01
11
10
11
00
00
11
01
01
10
11
00
00
00
11
10
01
10
11
11
11
00
01
10
11
00
01
00
11
10
00
01
00
11
10
00
00
01
00
10
11
00
11
00
10
10
10
00
10
01
00
01
10
10
00
11
00
10
11
10
11
00
00
11
00
01
10
11
00
11
00
01
00
11
00
01
10
00
10
10
11
00
11
10
11
10
00
00
11
11
10
01
01
10
00
00
00
11
11
01
10
00
00
10
00
01
11
00
00
10
00
10
00
10
10
00
00
10
10
10
10
01
10
00
10
00
10
10
01
11
00
10
10
00
01
00
11
00
01
10
10
10
11
00
01
10
10
00
00
11
10
01
00
11
10
00
00
00
01
01
11
11
10
00
01
01
00
11
10
01
01
01
11
11
11
00
01
10
01
00
10
10
00
10
11
11
11
11
00
01
00
11
10
00
01
11
11
11
01
00
10
01
10
10
01
00
01
10
11
10
10
00
00
10
00
01
10
01
00
10
00
10
10
00
11
11
01
00
11
00
00
10
10
10
00
00
00
00
11
11
00
01
10
10
10
00
10
01
01
11
10
10
01
01
10
10
00
00
10
10
01
00
10
10
00
01
00
10
10
00
00
11
00
10
11
00
00
01
00
00
10
10
01
10
01
00
00
10
10
10
00
11
10
01
11
10
00
00
10
00
01
00
10
10
00
01
10
11
00
00
00
10
11
00
10
11
01
10
11
01
00
00
10
10
10
10
00
10
10
00
00
11
00
01
00
10
00
11
10
10
00
00
10
00
00
10
10
00
00
10
00
01
10
10
10
00
00
11
11
11
00
01
00
00
10
00
00
10
10
01
11
10
10
01
00
11
00
00
11
01
10
11
10
01
10
10
10
00
10
00
00
10
01
00
11
10
11
01
10
00
00
10
10
10
11
00
01
00
10
00
10
10
01
00
10
11
10
01
00
00
10
01
10
10
01
01
10
00
11
10
01
00
00
00
00
00
11
10
10
01
10
00
00
01
10
00
10
11
00
11
11
10
01
10
01
01
10
10
01
00
10
11
10
10
10
01
10
00
01
00
00
10
11
00
11
01
11
10
01
10
11
10
01
10
11
11
10
00
01
10
10
00
01
00
10
11
10
10
00
00
11
11
11
00
00
10
10
01
11
10
00
10
00
10
01
00
10
00
11
01
01
01
10
10
00
00
10
11
00
00
00
00
10
10
01
11
00
00
01
01
00
11
00
11
10
10
11
00
11
10
10
00
11
01
00
10
10
00
00
10
00
10
11
10
00
00
01
10
01
00
10
01
00
11
11
10
01
10
00
00
00
10
01
00
10
10
00
10
10
10
11
00
00
10
10
00
10
10
00
11
00
10
11
00
00
10
10
00
10
10
11
01
10
00
11
10
10
00
00
10
11
11
00
00
00
10
10
00
01
00
01
11
11
10
10
00
11
11
00
10
10
10
00
00
10
10
10
10
11
11
01
10
00
00
10
10
01
00
11
11
11
01
00
00
01
10
11
10
11
11
00
00
00
00
10
00
10
11
10
00
00
01
10
11
10
11
10
10
01
10
00
00
10
10
10
00
11
00
00
00
10
00
10
11
00
00
10
10
00
10
11
00
10
10
00
10
01
00
00
00
00
01
10
00
00
00
11
00
01
10
10
00
01
01
10
01
00
10
01
00
11
01
10
10
00
01
01
11
10
00
11
10
00
01
00
11
10
10
10
00
11
00
11
10
10
00
10
10
01
00
01
00
11
11
11
11
01
01
00
00
10
10
10
00
01
00
01
01
11
00
00
01
01
10
00
10
11
11
10
10
10
00
01
11
10
10
00
00
11
10
00
00
11
10
00
01
11
00
11
10
00
00
10
10
01
00
10
00
00
00
11
10
10
10
10
00
11
00
00
01
01
01
00
01
10
00
10
10
00
00
11
10
00
10
01
00
01
10
10
11
11
11
10
10
00
10
11
00
01
10
10
10
01
00
11
00
11
10
00
10
10
00
00
10
00
11
11
10
11
01
01
10
10
10
11
00
00
10
11
10
01
10
10
00
01
11
10
10
00
00
10
10
10
00
00
00
00
00
00
00
01
11
11
10
00
00
00
11
11
10
10
10
01
01
01
10
11
10
10
00
01
00
10
00
10
10
01
00
11
00
00
10
00
01
11
10
01
10
11
10
10
10
00
00
10
11
10
11
00
01
00
00
00
01
10
10
10
10
10
00
11
10
01
00
00
11
11
10
11
10
10
00
00
00
01
00
10
10
00
10
01
01
00
10
00
11
00
11
01
00
01
10
11
00
10
01
01
00
00
11
10
11
00
00
01
00
01
11
11
11
00
00
01
00
11
10
10
10
01
10
11
00
00
10
11
10
00
01
10
10
10
01
10
10
00
00
00
10
01
11
10
00
00
10
01
10
00
10
10
00
10
00
01
11
11
10
10
00
10
10
01
10
00
01
11
01
00
10
00
10
01
00
01
10
10
00
10
00
00
11
10
10
10
10
01
00
01
10
00
00
10
11
00
00
11
11
00
10
11
00
11
11
10
10
00
11
10
10
00
00
00
11
10
10
01
00
10
10
00
00
00
00
10
00
10
00
01
00
11
10
01
10
10
01
11
10
00
10
10
10
11
11
00
10
11
11
10
01
00
00
10
00
01
10
11
11
00
01
00
11
10
10
01
01
01
11
10
10
11
10
00
00
10
10
00
00
00
00
00
01
10
10
00
01
10
10
00
00
10
10
00
00
00
00
10
00
10
11
10
01
00
10
10
11
11
00
11
10
00
10
11
10
00
00
01
11
00
11
10
00
10
00
01
01
11
11
00
10
11
10
00
10
10
00
11
10
01
11
01
01
10
01
10
01
01
11
10
00
00
00
00
01
01
11
00
00
10
10
10
10
00
00
11
00
00
10
10
00
10
10
10
11
00
10
00
11
11
10
11
00
01
10
01
10
10
00
00
00
10
01
00
10
10
10
00
01
01
10
11
00
10
10
10
01
11
00
00
10
11
00
00
00
10
11
00
00
00
10
10
10
11
10
10
01
00
00
11
11
00
10
10
01
00
10
10
00
11
11
10
01
00
11
01
01
11
01
10
10
01
00
11
01
01
11
00
10
11
10
11
10
00
01
11
10
01
10
11
10
01
00
11
10
01
10
11
00
00
01
10
10
01
00
11
10
01
10
10
00
00
00
11
00
00
10
00
10
10
00
00
01
11
10
10
10
10
11
00
11
01
00
10
10
11
10
00
00
10
00
00
10
10
11
00
00
01
10
11
11
01
01
10
01
10
10
00
10
10
10
00
00
10
11
10
00
01
00
01
01
00
10
11
10
11
10
00
00
01
11
01
00
10
11
00
10
00
11
10
10
10
10
10
11
10
01
11
10
01
00
00
11
01
01
11
10
10
10
10
00
00
00
11
10
00
01
01
00
10
10
00
11
10
01
10
10
00
10
01
00
01
10
00
10
00
01
10
01
00
10
01
10
11
00
00
10
01
11
10
00
00
10
10
10
00
10
10
01
00
01
10
10
10
00
00
00
10
11
10
00
10
10
00
10
11
01
00
01
00
00
01
00
11
10
10
01
00
10
10
00
00
10
11
01
11
00
11
11
00
00
11
10
00
11
10
01
00
11
10
10
00
10
10
00
10
01
11
10
00
10
00
00
10
10
11
10
11
10
01
01
00
11
10
10
00
00
01
11
11
00
01
00
10
10
01
01
00
00
10
00
10
11
11
00
10
00
10
10
00
00
10
11
00
00
11
01
11
11
11
00
10
10
00
10
10
00
00
11
10
10
01
10
10
10
00
00
10
10
00
01
10
00
00
10
10
10
00
00
10
10
00
00
01
00
00
00
10
10
10
01
00
00
10
00
10
11
01
01
10
01
00
10
10
00
00
11
01
01
00
10
00
10
11
10
11
00
00
00
11
10
10
10
00
01
00
11
10
10
00
00
00
01
10
11
01
00
11
00
11
00
10
10
10
11
11
01
01
01
00
10
01
10
10
00
01
00
01
11
10
10
01
00
01
00
11
10
00
00
11
00
10
00
00
10
00
10
01
11
11
00
00
10
11
11
01
10
10
10
11
10
00
00
00
01
10
00
10
11
01
00
00
11
00
00
10
10
01
00
00
01
10
10
10
00
00
00
00
10
10
00
11
01
01
00
10
10
11
10
00
00
01
11
00
11
10
10
10
10
00
00
10
10
00
00
01
00
11
00
00
00
10
01
00
10
11
01
10
11
11
10
11
00
01
10
10
00
01
01
10
00
00
00
11
10
00
11
00
00
00
00
10
10
01
01
01
11
00
10
10
01
11
00
01
10
01
00
00
10
10
10
00
00
10
10
10
10
00
01
10
10
00
00
10
00
00
00
00
10
11
00
01
00
10
00
01
01
01
11
11
01
11
00
01
11
00
00
11
10
00
11
01
01
00
01
10
11
00
10
11
11
00
10
11
00
01
10
10
00
01
10
11
00
00
01
00
00
01
10
10
00
10
01
00
00
10
11
00
10
00
01
10
11
00
00
01
00
01
11
10
00
10
10
00
00
10
11
00
10
00
10
00
01
10
01
01
00
10
01
11
01
11
10
11
01
00
11
10
00
01
01
00
10
00
10
00
00
11
01
11
10
10
10
10
10
00
01
00
11
11
11
10
10
00
11
00
00
10
10
01
00
10
00
10
10
01
00
10
00
10
10
00
10
10
10
01
01
00
10
10
00
10
10
00
01
10
10
10
00
00
00
10
00
00
11
10
00
00
11
00
00
10
01
11
10
10
11
11
00
10
10
10
11
11
01
01
10
11
00
00
10
11
00
00
00
10
00
00
00
11
10
01
01
11
11
00
10
00
10
11
00
00
10
10
10
10
11
11
00
01
00
11
10
00
10
11
00
01
00
00
10
10
00
10
10
01
00
11
10
01
00
00
00
00
01
11
00
01
00
01
11
00
00
10
00
00
11
11
10
11
10
00
00
10
00
10
10
00
11
10
00
10
10
01
01
10
00
00
10
01
00
10
00
00
01
10
01
10
10
00
01
11
01
01
10
00
00
00
10
01
10
10
10
00
00
11
01
11
10
01
01
10
10
00
10
01
00
10
11
10
00
01
00
00
10
10
00
10
11
00
10
10
11
00
01
11
00
10
00
01
11
01
00
10
10
01
10
00
00
10
10
00
01
10
00
10
10
01
10
00
00
00
11
00
11
00
00
10
11
10
11
00
01
10
10
11
10
01
00
11
11
00
11
00
01
10
10
00
01
10
10
01
00
10
11
10
00
10
10
10
00
10
11
00
00
10
10
11
11
10
00
10
11
11
01
10
11
00
10
10
00
00
10
10
01
11
11
10
10
10
01
10
00
00
11
00
11
01
01
10
11
10
10
10
01
01
10
00
00
00
10
00
10
00
00
00
00
00
10
10
00
11
10
11
00
01
00
00
10
10
10
10
11
00
00
00
01
00
01
00
10
10
00
00
11
11
01
10
01
00
00
11
01
11
10
11
00
01
01
10
11
01
01
01
10
10
10
00
10
10
00
00
10
11
10
01
11
10
00
00
10
10
11
10
11
11
10
10
00
01
10
10
00
01
11
00
10
11
00
00
00
10
00
00
11
00
11
00
10
00
11
10
01
00
10
00
00
01
11
10
10
00
10
10
01
10
00
00
10
00
11
10
00
10
10
10
00
00
00
11
00
00
00
10
01
00
10
00
11
10
11
10
00
11
01
10
10
10
00
01
00
11
00
10
00
01
11
00
00
10
00
00
00
00
10
10
00
10
00
01
11
10
01
10
00
00
10
01
11
00
00
00
10
10
11
00
00
10
10
01
10
00
10
00
01
00
10
10
00
00
10
10
10
00
00
00
11
01
10
00
11
11
00
11
10
00
10
11
00
01
01
10
10
01
11
11
11
00
01
00
00
11
11
00
00
10
11
01
01
10
10
00
11
00
10
10
01
00
00
00
10
00
01
10
00
00
10
00
11
10
10
10
00
10
00
10
11
10
10
10
00
10
10
00
10
10
00
11
00
11
10
00
10
10
10
00
00
10
11
10
10
00
01
10
01
10
10
00
01
00
00
10
10
11
10
10
11
10
00
01
11
01
00
00
01
10
11
00
10
10
10
01
10
11
01
11
00
10
10
01
01
11
00
10
00
00
00
00
10
00
11
10
01
01
00
00
10
10
10
11
01
10
00
10
00
00
01
10
10
01
01
10
00
00
11
10
10
01
00
10
01
01
11
10
00
10
00
10
10
00
00
11
10
11
00
00
00
10
11
00
00
10
01
01
11
10
01
11
10
11
10
11
00
00
00
10
00
00
11
00
10
10
01
11
11
11
01
00
10
10
00
00
11
00
01
10
10
10
00
00
10
10
01
01
00
10
00
10
00
00
10
11
01
00
11
01
10
00
00
11
11
11
00
00
00
10
10
10
00
10
11
11
11
00
10
10
00
00
01
01
00
00
11
01
11
11
10
00
01
10
00
00
10
10
11
00
01
10
10
11
00
11
11
01
00
11
10
00
00
10
10
00
00
11
00
01
10
10
10
10
00
00
00
00
10
10
10
00
11
00
00
00
11
11
00
10
10
10
01
10
11
00
01
01
01
01
10
01
11
10
01
01
10
11
00
01
10
10
00
00
01
01
10
10
10
01
00
01
10
00
01
00
01
10
00
01
10
00
01
10
01
00
10
00
10
10
00
00
00
00
11
00
10
11
10
10
11
00
11
00
00
10
01
00
01
11
11
00
10
00
10
00
00
10
11
01
10
00
10
00
00
00
00
01
11
10
01
10
11
10
10
10
00
10
01
10
11
10
11
01
11
00
00
11
10
00
00
01
10
01
01
10
11
10
00
11
10
10
00
01
00
11
11
10
01
00
10
11
11
00
00
01
10
10
00
10
00
01
10
00
11
01
10
00
01
11
00
10
10
00
10
11
00
11
00
10
10
00
01
00
00
01
01
00
01
11
10
10
00
10
11
10
00
00
00
10
00
00
11
00
11
10
00
00
10
00
10
10
01
11
11
00
01
00
01
01
01
01
00
10
10
00
00
00
11
11
11
11
01
10
00
00
00
01
10
10
10
10
11
11
10
10
00
01
00
00
11
10
00
10
01
10
01
00
10
00
01
11
01
01
10
11
00
01
11
00
00
10
00
01
01
00
11
11
10
10
10
10
00
00
11
11
11
00
10
10
00
11
10
00
00
11
10
01
10
10
10
01
00
00
00
10
00
10
00
00
11
11
10
01
00
00
00
00
10
00
00
11
00
00
00
01
11
01
11
01
00
10
00
00
00
10
11
01
11
00
11
10
11
00
10
10
00
00
10
10
00
00
10
00
11
10
01
11
01
01
01
11
10
01
00
10
01
10
00
01
10
11
10
00
00
00
00
10
00
00
00
10
11
10
10
11
00
11
10
01
11
11
00
10
10
00
11
10
00
01
10
10
01
10
01
00
10
10
10
00
00
00
00
10
00
00
10
00
00
00
10
00
11
00
00
00
10
10
10
10
11
11
00
10
00
11
01
10
10
00
01
00
01
00
01
10
01
01
10
01
00
00
10
00
11
00
00
10
00
10
01
10
01
01
10
10
10
00
01
00
10
11
11
01
00
11
00
00
01
10
01
00
01
10
01
01
10
11
01
10
11
10
00
11
10
00
01
11
10
10
11
00
11
11
00
00
11
01
10
11
00
00
10
10
11
00
00
10
11
01
11
10
00
00
01
10
01
10
10
00
00
10
11
10
00
00
10
10
01
10
10
10
00
00
10
00
10
10
10
11
10
00
00
11
10
10
10
11
00
01
10
00
10
11
00
00
10
00
00
11
10
11
10
01
00
00
11
10
10
00
00
10
00
10
10
00
00
01
00
10
10
11
01
00
10
00
10
11
11
01
00
00
10
00
00
11
11
10
01
00
10
00
01
00
01
10
10
10
11
00
00
11
10
01
11
00
01
11
10
00
00
11
10
00
01
00
10
10
00
10
10
00
00
00
10
00
10
10
01
01
01
00
00
10
11
10
10
00
00
00
00
00
11
10
01
10
00
00
10
11
00
00
10
10
00
10
01
10
11
10
00
01
00
11
01
10
10
10
10
01
01
00
00
10
01
10
10
10
01
00
10
10
10
00
00
10
11
00
00
11
11
00
00
10
11
00
00
10
00
10
00
01
01
01
10
00
00
10
11
10
11
01
01
10
00
00
00
01
11
10
11
01
00
00
11
11
11
00
00
01
10
00
10
00
10
00
00
00
11
11
01
01
11
01
01
01
10
10
11
00
11
11
00
01
10
01
10
11
10
00
00
00
10
10
00
00
00
00
10
00
10
11
00
01
01
00
00
10
10
10
00
01
00
10
10
00
00
11
00
01
10
00
10
10
01
01
00
00
10
00
10
10
00
10
00
00
10
10
00
00
11
00
11
01
11
10
01
00
10
00
00
00
01
11
11
11
10
10
10
00
01
01
11
00
10
00
10
00
10
00
00
10
00
11
10
10
00
01
00
01
10
10
11
11
10
10
00
01
01
10
01
10
00
00
01
00
00
00
10
00
11
00
11
10
00
11
10
10
11
10
01
10
00
10
10
01
10
01
01
11
10
01
00
11
00
11
10
10
10
00
01
10
01
00
10
11
00
11
10
10
00
00
10
00
10
10
01
01
01
10
10
10
01
10
10
00
10
10
01
10
01
00
00
10
00
00
00
10
11
11
00
00
10
10
00
10
10
10
00
01
11
10
00
11
01
01
01
10
00
01
10
01
00
10
11
11
00
00
10
00
00
10
10
01
00
00
00
00
00
01
10
11
00
11
00
10
10
11
10
01
10
10
01
11
00
01
00
01
01
10
10
10
01
10
00
01
00
10
10
00
00
01
10
00
00
00
11
10
10
11
01
00
11
00
01
01
00
11
00
01
11
10
01
00
00
11
10
00
01
11
00
10
11
00
10
00
00
10
00
00
11
00
00
11
01
00
10
01
00
10
00
00
10
01
11
11
10
00
00
11
00
00
10
00
00
11
01
10
00
01
11
10
10
00
11
10
00
11
11
01
00
10
00
10
00
01
00
10
10
11
10
11
00
00
01
00
00
10
10
10
10
10
01
01
01
01
00
00
01
00
11
10
10
11
10
11
00
01
10
10
00
01
11
10
00
01
00
00
00
10
10
10
10
00
10
11
10
01
00
00
10
10
10
11
00
00
00
10
10
00
00
00
01
01
00
00
11
11
11
10
00
00
00
01
00
10
10
00
11
01
00
10
01
10
11
01
10
01
00
10
00
01
10
10
00
01
00
01
00
10
00
01
10
01
10
10
00
00
01
00
11
00
11
00
10
00
11
00
11
01
01
11
10
10
10
10
01
00
11
10
10
00
10
11
00
00
10
11
01
10
10
00
00
00
00
10
11
01
01
10
10
11
10
10
01
01
10
01
10
10
11
01
00
00
00
11
01
00
10
00
10
10
10
00
01
01
01
10
00
00
10
01
00
10
10
00
10
00
10
11
00
10
01
10
00
00
00
00
11
00
11
00
10
00
00
00
10
11
00
00
01
00
01
10
00
10
10
01
00
00
11
11
11
10
11
01
01
10
01
10
11
10
00
10
11
01
00
00
10
00
10
00
00
11
10
11
00
01
01
00
00
10
10
00
10
00
10
11
10
10
10
00
00
10
10
10
00
10
01
00
10
01
11
11
11
00
00
01
10
11
11
10
11
10
00
01
00
10
00
00
11
11
00
01
11
10
11
00
01
01
00
10
01
10
11
10
10
00
01
00
10
10
00
10
10
00
10
10
00
00
00
11
11
11
00
10
00
11
00
01
11
00
00
10
10
10
00
10
11
00
01
01
01
11
00
10
10
01
01
10
00
00
11
10
10
00
01
01
00
11
11
10
01
00
11
01
00
10
10
00
00
00
10
00
01
10
11
00
11
10
01
00
00
01
10
00
00
00
10
10
00
10
00
00
00
11
00
11
01
10
11
00
00
10
01
00
00
10
01
00
10
00
11
10
10
11
00
01
11
00
00
11
00
10
01
00
00
01
10
10
10
11
00
11
10
01
10
10
00
10
00
01
00
10
11
00
01
11
11
01
11
00
11
00
11
11
01
01
00
00
00
11
10
01
00
01
10
11
00
01
00
10
11
00
10
10
11
01
01
10
00
10
00
10
11
00
01
01
10
00
11
10
11
00
01
10
00
10
01
01
10
10
00
10
11
11
10
11
00
00
00
11
10
00
00
01
01
10
00
00
00
10
10
00
10
01
00
10
00
11
10
00
01
10
10
10
00
00
10
00
10
00
00
11
10
11
01
11
10
10
10
11
01
00
11
00
01
11
00
00
10
10
11
00
01
10
01
01
10
10
10
11
00
11
10
00
10
11
10
00
01
11
00
00
10
10
11
01
00
10
10
00
11
00
11
11
00
00
10
01
10
11
01
00
00
00
10
10
00
10
00
00
10
11
11
00
10
01
00
00
10
10
10
00
01
11
00
10
00
10
10
10
10
11
00
01
00
10
00
01
01
10
11
00
00
10
00
00
00
00
10
01
00
10
11
00
10
10
01
10
00
01
00
01
00
00
10
11
00
10
11
00
10
10
11
00
10
00
10
00
01
10
00
01
00
00
00
00
00
10
00
10
11
10
10
10
00
10
00
01
10
00
10
01
01
10
01
10
10
10
01
10
01
00
11
10
10
10
00
10
01
10
11
01
11
00
00
00
01
10
10
10
01
00
10
00
10
00
01
00
01
00
10
11
00
00
00
10
10
10
01
00
10
10
00
00
01
10
00
11
00
01
00
01
10
11
00
10
11
10
10
01
10
10
10
00
00
10
00
11
11
10
00
11
10
10
10
01
00
00
10
01
00
10
10
10
10
10
10
00
01
00
10
00
01
10
10
11
00
01
10
11
10
10
10
11
10
01
00
10
10
01
01
11
10
10
00
11
01
00
10
10
00
11
00
00
00
00
00
00
10
10
11
00
00
10
11
01
10
00
10
11
00
01
00
00
10
00
00
00
00
11
11
00
00
10
10
10
00
11
01
00
10
11
01
11
10
00
11
11
10
00
00
10
11
01
11
01
01
10
10
10
10
01
11
10
00
10
10
11
01
00
10
00
00
10
01
10
10
10
11
10
11
00
10
11
01
01
10
10
00
01
10
01
00
11
00
10
10
01
00
10
10
00
10
10
01
01
01
10
01
01
01
01
10
11
01
00
11
11
00
00
10
10
00
01
10
01
00
11
11
10
10
01
00
10
00
01
00
10
00
00
00
00
00
10
10
11
00
01
00
10
11
00
10
11
10
01
01
11
00
10
01
01
00
11
00
01
00
01
10
11
11
01
11
01
00
11
00
00
10
10
10
00
00
10
00
00
10
00
11
11
00
10
01
01
00
01
10
00
00
10
10
00
00
00
10
10
01
11
00
01
10
10
10
10
11
00
10
10
01
10
11
00
00
11
00
00
00
10
10
10
11
10
01
10
00
00
11
00
01
01
10
00
00
00
00
01
10
11
10
01
00
00
01
01
00
10
00
00
11
01
01
00
01
10
01
11
10
10
10
01
00
00
11
10
00
00
01
00
00
11
00
11
10
10
10
00
01
10
11
01
00
10
10
10
00
10
10
00
00
10
10
01
00
10
00
11
10
00
11
10
10
00
10
10
01
00
10
10
00
10
10
00
00
10
10
00
01
01
11
00
10
00
01
00
11
00
01
11
00
11
00
01
10
10
00
01
10
10
00
10
00
00
10
00
00
01
00
10
11
10
01
01
10
10
00
10
01
00
10
10
00
00
10
01
10
10
11
10
10
10
00
11
10
00
01
00
10
00
10
11
00
00
10
10
00
01
10
00
11
10
01
10
00
11
10
10
00
01
00
10
10
01
10
11
00
00
01
11
10
01
00
10
10
10
11
10
00
00
00
10
00
11
00
01
00
00
00
01
11
11
01
01
00
10
11
00
00
10
10
00
01
10
10
11
01
00
00
01
01
00
10
11
10
00
00
00
11
00
10
11
00
00
01
11
10
10
00
10
00
00
01
00
00
10
10
10
00
10
10
00
01
00
10
10
10
10
00
01
00
10
00
11
11
10
00
01
11
00
01
10
10
11
10
11
00
01
11
11
00
01
01
01
01
10
10
10
01
00
01
10
10
01
01
10
01
00
10
11
01
00
00
11
10
10
00
01
10
10
00
10
00
10
01
00
01
00
01
10
00
10
00
11
10
10
00
00
00
00
10
11
00
00
10
00
10
11
01
10
10
10
00
10
01
01
11
11
01
00
10
00
10
00
00
10
00
01
10
00
11
00
10
00
00
10
10
11
00
00
01
00
00
01
00
10
10
10
11
00
00
00
00
11
11
10
10
00
10
10
10
00
01
11
10
10
10
01
00
01
01
10
01
10
10
00
00
01
01
01
11
11
01
00
00
11
11
10
00
00
01
11
00
00
10
00
00
01
10
10
10
10
00
10
01
01
00
11
10
00
00
10
11
11
00
00
10
10
00
00
01
10
10
10
11
10
10
01
00
10
11
10
10
11
01
01
11
10
00
00
11
00
00
01
00
11
01
00
10
00
01
10
00
11
10
00
01
00
00
10
11
00
10
00
01
01
10
01
10
10
10
00
01
10
10
11
10
10
00
10
00
10
00
01
00
10
00
00
10
10
01
10
10
00
00
00
11
10
10
10
01
11
10
11
00
00
10
01
10
00
00
11
00
00
10
10
10
10
10
01
10
00
00
10
10
00
10
00
00
10
11
10
00
00
10
00
10
00
01
00
10
01
10
01
00
00
11
10
00
01
00
11
11
00
00
11
10
01
01
10
10
10
10
00
00
10
10
10
00
10
11
00
10
10
00
00
11
01
00
00
11
11
00
11
00
10
00
00
10
00
01
10
00
10
11
10
01
01
00
00
10
10
10
01
00
01
11
10
11
00
00
10
10
00
10
00
00
11
10
10
00
11
10
00
00
11
10
00
10
10
00
00
11
00
10
00
10
01
01
11
00
10
10
00
11
01
01
01
10
10
00
11
00
11
11
00
00
10
00
00
10
00
10
00
11
01
01
10
00
10
11
10
01
11
10
01
00
10
00
11
10
01
10
11
00
11
10
01
00
10
10
01
00
10
11
01
01
10
10
00
10
00
01
10
10
11
00
01
10
01
01
11
00
10
11
00
10
01
01
10
10
10
00
00
00
11
11
00
01
00
00
10
10
00
10
10
11
11
00
10
00
10
01
00
00
00
00
00
01
00
11
11
00
01
11
10
00
00
10
00
11
00
00
00
00
10
10
01
10
00
11
00
11
00
10
00
10
10
00
00
10
00
10
10
00
01
00
01
00
00
11
01
11
00
10
10
01
10
00
00
10
10
10
00
11
00
11
00
00
00
11
00
00
10
11
10
01
11
01
00
01
01
01
00
11
01
00
01
11
11
00
00
11
00
11
10
01
00
11
11
10
01
00
10
10
10
01
00
01
10
11
00
00
00
00
10
10
10
01
00
00
01
10
10
00
00
00
10
10
10
10
10
00
01
00
10
11
00
00
10
01
01
01
00
10
01
01
00
10
00
00
10
00
11
01
00
11
00
10
00
10
00
00
10
10
01
01
10
00
01
10
00
10
00
00
10
10
10
10
00
10
00
01
00
10
11
00
10
00
10
00
10
11
01
01
11
10
10
00
00
10
00
00
11
11
01
01
11
00
00
00
01
10
00
00
10
10
00
11
10
00
11
01
01
01
10
11
00
01
10
00
00
10
10
00
01
00
00
01
11
01
10
10
01
10
10
01
00
11
10
00
00
00
10
10
00
00
10
10
11
00
00
10
11
10
00
01
10
10
00
01
00
01
01
10
11
01
01
10
10
00
01
10
11
00
01
10
10
01
01
11
10
11
00
00
00
01
10
11
01
00
10
00
00
10
10
00
00
00
10
00
00
00
10
11
10
00
10
11
11
01
00
10
01
10
10
00
11
10
00
00
10
00
01
00
00
10
00
00
00
00
10
01
00
11
11
00
00
11
10
10
11
00
00
01
11
10
10
00
00
11
01
01
11
00
00
01
11
10
00
00
10
10
00
00
00
10
10
01
11
00
10
00
11
00
00
10
11
11
10
10
11
00
00
10
10
00
00
10
11
00
00
10
11
00
10
00
10
11
10
10
01
11
11
00
10
00
10
00
11
10
10
01
11
01
00
00
11
10
10
00
00
10
10
01
10
00
11
11
01
10
10
11
00
01
01
01
10
10
01
01
01
00
10
10
10
11
11
10
11
00
11
01
00
10
10
01
00
10
00
11
10
10
00
10
11
00
01
10
11
00
11
01
10
10
01
01
10
00
00
10
10
00
10
10
01
01
00
01
10
00
10
00
01
10
11
11
10
10
11
00
00
01
10
00
01
00
00
00
10
11
01
10
11
10
01
01
11
00
11
11
01
10
10
00
00
11
00
10
10
10
00
00
11
10
11
00
10
10
10
10
00
00
01
11
01
10
00
00
00
10
10
01
11
10
10
00
10
11
10
10
01
01
10
10
00
00
10
11
00
00
10
00
10
11
00
11
01
01
01
01
11
00
00
10
10
00
00
10
11
00
01
00
01
00
11
11
00
10
10
00
01
01
10
10
10
01
10
10
00
00
10
10
11
01
00
10
10
10
00
00
01
10
11
00
11
01
01
00
10
01
00
00
10
10
01
11
01
01
00
10
00
01
11
00
10
10
00
00
10
10
10
01
11
10
00
00
11
00
11
00
00
10
11
00
00
10
10
10
10
00
01
10
11
00
00
11
10
10
11
01
10
00
00
10
11
10
01
10
10
10
01
00
11
00
01
01
10
01
00
10
11
00
00
11
10
10
01
10
00
00
01
10
10
10
01
11
10
00
10
01
00
11
11
00
01
10
00
10
10
00
11
01
00
10
11
00
00
11
10
10
00
00
01
00
10
11
10
11
00
00
01
10
01
00
01
10
10
10
10
11
01
10
01
00
00
00
10
01
01
01
11
01
00
10
10
10
11
00
00
01
10
11
01
00
10
10
00
10
11
00
00
11
11
00
10
00
01
00
10
10
00
00
10
00
01
00
10
10
11
00
11
11
11
00
11
00
01
11
00
11
10
01
00
11
11
00
01
10
10
00
10
10
00
00
11
01
00
11
10
00
11
00
01
10
11
00
10
11
10
00
01
10
10
10
00
00
11
00
01
10
10
00
10
00
10
01
00
11
10
00
00
11
10
00
01
11
10
01
10
00
10
00
00
10
11
00
01
10
00
01
10
11
00
10
10
11
01
10
00
01
01
11
00
11
10
11
01
00
00
10
10
00
00
10
10
11
00
00
00
11
11
00
10
10
00
10
10
00
10
00
00
10
10
00
00
10
10
10
01
01
10
11
00
01
00
00
10
01
01
10
11
01
10
00
01
10
10
00
01
00
01
10
00
00
00
10
00
00
10
10
00
00
10
10
11
00
01
10
00
00
00
10
00
00
11
11
01
00
00
10
01
10
00
01
11
10
10
10
00
00
10
00
11
10
10
00
10
10
11
10
10
01
11
01
11
01
00
00
10
10
11
00
01
11
10
11
01
10
11
01
01
00
10
00
01
00
11
10
10
10
00
10
10
10
00
10
11
00
00
01
00
11
00
10
10
10
10
00
01
10
11
00
00
01
01
01
00
00
10
10
10
01
00
10
11
01
01
10
11
00
00
10
10
01
10
01
10
11
10
00
10
11
00
00
10
11
01
10
10
00
10
10
00
00
00
10
11
00
11
10
00
10
01
01
10
01
10
01
00
10
01
00
11
11
10
00
00
11
11
01
11
11
01
01
01
10
00
01
00
11
11
00
00
10
00
10
10
01
01
00
10
10
01
01
00
00
00
10
00
11
10
00
11
01
00
00
11
00
11
00
11
10
11
00
00
00
10
00
01
10
10
10
10
11
00
00
10
10
00
00
00
01
00
11
00
01
10
01
00
10
00
00
11
11
00
00
11
10
00
11
10
00
11
10
00
00
11
10
01
00
00
01
00
01
10
11
00
10
10
10
00
10
11
00
01
01
01
01
10
11
11
00
00
10
10
00
00
10
10
10
00
11
10
10
10
10
10
11
10
01
00
10
00
10
00
01
10
10
00
00
10
01
01
10
01
00
00
01
00
10
10
10
00
00
10
10
00
00
00
11
11
00
11
10
10
00
00
10
11
10
00
00
01
00
11
11
01
10
11
00
10
00
10
10
00
10
00
10
01
10
10
10
01
00
01
00
10
11
11
01
00
10
10
11
00
10
01
00
10
01
01
01
10
10
01
01
10
11
10
00
10
00
00
10
01
00
00
11
10
10
11
00
00
10
10
00
11
01
11
10
01
10
11
10
00
00
00
00
11
00
00
11
11
11
00
10
10
10
10
10
10
00
01
00
11
11
11
00
10
00
00
10
01
01
10
00
00
01
10
10
10
11
10
11
00
10
10
00
00
00
00
11
01
10
10
10
10
10
10
10
11
10
00
10
01
01
10
01
00
10
11
10
01
11
11
01
11
10
00
00
00
10
10
00
00
10
10
00
10
10
00
11
01
00
00
11
11
00
10
10
10
01
10
11
01
10
11
10
00
10
10
00
00
10
10
00
00
01
10
00
11
11
01
10
00
10
01
00
10
11
00
01
00
00
10
01
00
00
11
01
01
11
10
11
00
01
01
01
10
11
01
10
00
00
10
10
10
01
11
10
00
11
01
10
00
00
11
00
11
01
00
00
01
10
00
01
10
11
01
10
01
10
10
00
00
11
00
00
10
00
10
10
11
11
10
10
00
01
00
10
00
10
10
11
11
10
10
00
00
00
10
00
00
11
10
01
10
10
10
00
01
10
00
01
11
01
10
10
11
00
01
01
01
00
11
10
11
10
11
10
01
10
10
01
00
00
10
10
00
00
01
01
10
00
10
01
01
00
01
10
11
10
10
00
10
00
10
11
00
10
00
10
10
10
10
10
10
00
11
11
10
11
10
00
01
01
01
00
11
10
10
10
00
00
11
00
01
00
10
10
10
10
10
01
01
00
01
00
00
11
11
10
10
01
00
00
00
00
11
10
10
10
00
10
11
11
00
10
00
11
01
01
11
00
00
00
01
10
10
00
01
10
11
10
01
10
10
01
00
00
10
10
00
00
10
01
11
11
00
01
00
10
11
11
11
10
00
10
00
00
00
11
11
00
10
01
01
01
10
10
01
00
10
00
01
10
10
00
11
00
00
10
00
10
00
00
11
00
10
00
10
10
10
11
01
10
00
10
10
11
00
00
10
00
00
10
10
00
00
10
10
01
01
10
10
11
00
00
00
01
11
01
01
11
00
10
01
01
10
10
01
10
10
10
01
00
10
10
00
10
00
00
10
10
01
10
00
00
10
10
01
11
10
00
11
00
11
11
01
10
10
01
10
00
10
01
01
10
10
10
00
00
01
00
00
10
00
10
11
10
01
10
00
01
10
01
01
00
10
10
00
01
11
11
11
11
00
00
01
00
10
10
00
00
10
00
11
11
11
10
00
00
01
00
11
01
01
00
00
11
00
10
10
11
00
01
11
10
00
01
00
01
10
11
10
10
00
11
00
01
00
11
00
00
00
11
00
01
01
11
00
00
00
10
10
10
10
01
00
10
00
00
10
00
10
11
01
00
10
10
01
10
10
10
10
00
10
10
00
00
00
11
11
00
11
10
10
00
10
10
01
00
10
11
10
01
10
10
00
11
10
01
10
00
10
11
00
11
10
10
00
11
00
10
10
10
00
01
10
10
00
00
11
00
11
01
00
01
10
11
00
00
10
01
10
11
10
00
00
11
11
01
11
10
11
01
10
00
10
00
10
00
01
10
00
10
10
11
00
00
10
00
00
11
10
00
10
00
00
11
10
11
10
00
00
10
00
10
11
01
00
01
10
11
10
00
10
00
00
10
10
01
00
01
10
01
01
00
01
10
10
10
10
00
01
01
10
01
00
10
00
01
10
10
00
00
10
10
10
00
00
10
00
00
10
00
01
10
10
00
10
00
00
10
00
10
11
00
10
00
01
11
00
01
10
00
11
01
00
10
00
00
10
10
10
11
10
00
00
10
10
00
00
10
10
01
10
11
11
00
00
00
10
10
00
10
00
10
11
10
01
01
11
10
01
00
11
10
00
00
00
00
11
00
00
10
11
01
00
10
10
01
01
01
11
10
10
01
10
01
00
10
11
01
10
11
10
00
00
00
10
01
10
10
10
01
11
10
00
10
00
01
00
00
00
10
11
11
00
00
00
11
10
11
10
01
00
00
01
10
10
00
10
10
01
10
00
10
10
11
11
01
00
10
01
10
01
10
10
01
10
10
00
00
11
00
00
10
00
00
00
10
11
11
11
10
10
10
00
11
01
01
11
00
01
10
10
00
01
10
10
10
00
00
10
11
10
00
00
10
11
10
10
00
10
11
00
01
10
00
00
01
11
00
00
11
10
11
10
01
00
10
00
01
10
10
10
00
10
01
10
01
10
11
00
00
00
10
00
00
10
11
01
01
11
00
10
00
01
00
10
10
00
00
00
10
11
01
00
10
00
11
10
10
11
00
01
10
11
10
10
10
00
00
10
00
00
10
10
10
01
10
10
10
10
11
00
01
10
00
00
00
10
10
10
00
10
10
10
10
00
00
10
01
01
10
10
11
00
00
10
11
10
10
01
10
10
11
10
00
01
10
01
11
10
10
10
00
00
10
11
00
00
10
11
10
00
11
11
00
00
10
00
10
11
11
00
00
00
01
00
00
10
10
11
00
00
00
00
00
10
10
11
10
11
01
00
10
10
00
01
10
10
00
00
01
01
10
10
11
00
00
01
10
01
10
10
00
10
00
00
10
10
10
10
11
10
00
00
11
00
10
10
00
10
11
11
00
10
01
10
11
10
11
11
00
10
00
10
10
01
01
00
10
11
10
10
10
01
11
11
11
01
01
01
11
00
00
10
00
01
10
10
00
10
10
10
01
10
00
00
00
00
10
00
00
11
11
10
01
00
00
10
00
10
00
00
00
01
10
00
00
10
11
10
11
11
10
00
01
10
10
10
01
01
00
10
11
00
10
01
10
00
00
11
11
00
10
11
01
10
01
00
00
11
11
11
10
10
00
00
10
10
10
00
01
00
11
00
11
11
00
00
01
00
11
11
00
10
00
11
00
00
10
11
10
00
10
11
10
00
00
00
11
00
01
10
00
10
10
00
10
11
01
10
00
11
10
01
10
10
11
00
10
10
11
00
01
01
00
01
00
01
11
10
00
00
01
10
10
00
01
01
11
00
01
10
10
01
11
00
00
10
11
01
10
10
00
10
00
01
10
00
00
10
11
11
00
10
01
11
10
10
00
00
10
11
00
10
01
00
11
10
00
10
10
00
00
01
00
00
10
10
00
00
10
10
00
00
00
01
01
00
11
00
11
10
01
01
10
01
11
11
00
00
10
01
10
10
01
11
00
10
00
00
10
10
01
00
10
10
10
10
00
10
00
10
10
10
10
10
00
11
01
01
11
00
01
10
10
01
00
00
11
00
10
10
11
10
01
11
00
10
10
10
10
00
01
01
10
01
01
00
10
10
10
00
01
10
00
00
00
00
00
11
10
00
01
00
10
11
00
11
00
00
11
10
00
11
11
00
01
10
10
01
01
10
10
00
01
11
00
10
11
01
10
01
01
11
00
00
10
10
01
01
10
11
11
10
01
01
10
10
10
00
10
10
00
01
10
01
11
11
11
11
10
10
10
01
00
11
00
00
00
10
11
00
00
11
01
00
10
10
11
01
00
00
01
11
10
10
10
00
10
00
10
10
11
10
00
10
00
11
00
11
00
11
00
10
00
00
10
11
01
00
11
10
00
00
01
10
01
01
10
10
00
00
01
10
11
00
10
10
10
00
00
10
11
00
10
00
00
01
00
01
01
11
00
10
10
10
00
11
10
00
01
00
00
10
00
10
00
00
00
00
11
01
10
10
10
11
00
11
01
01
10
10
11
00
10
10
11
00
11
10
00
11
10
01
00
01
10
00
11
10
01
11
10
00
10
10
10
00
00
11
00
11
10
10
01
00
00
00
00
10
00
00
10
10
01
11
10
10
00
01
01
00
10
01
00
10
10
00
00
11
00
00
00
01
11
00
11
10
11
11
01
00
00
00
00
10
10
10
00
10
10
01
10
11
10
01
00
11
00
11
10
00
01
00
10
00
00
10
01
10
11
10
10
10
00
01
10
11
00
00
01
01
01
10
11
01
00
01
00
11
10
10
00
00
10
11
11
10
10
01
00
00
10
01
10
11
11
01
11
11
01
00
00
11
00
01
00
10
10
01
11
10
11
01
01
11
01
01
00
10
10
10
00
11
11
01
00
11
11
01
00
10
11
00
00
00
01
00
01
10
01
00
10
10
10
00
00
01
10
10
11
00
10
00
11
10
00
10
01
11
00
00
00
11
10
00
10
10
10
10
01
00
10
00
10
10
10
10
00
11
10
00
00
11
01
01
01
11
00
01
00
00
11
00
00
10
10
00
10
10
00
01
10
00
00
10
11
01
11
00
11
10
00
00
10
00
11
01
01
10
01
01
01
00
00
10
11
01
00
01
11
01
01
00
11
10
11
01
00
10
00
00
11
10
00
00
01
10
10
10
10
11
00
01
00
00
10
00
10
10
00
00
10
10
01
10
10
00
10
10
10
00
00
01
01
10
11
01
00
00
00
10
10
00
01
00
01
01
00
00
00
10
11
00
10
11
00
10
00
10
10
01
00
10
10
01
10
11
00
10
10
10
10
01
00
10
01
11
01
00
00
10
00
10
10
00
10
11
11
01
00
11
01
11
10
00
01
00
10
10
11
01
00
11
10
00
00
10
01
00
00
10
10
00
10
00
11
11
01
00
10
11
00
00
01
00
11
01
00
11
01
10
10
10
10
10
10
00
10
10
01
01
01
01
11
10
01
10
01
00
00
10
10
00
10
00
00
01
00
11
10
01
10
01
00
01
10
10
10
00
00
10
10
01
10
01
10
01
00
10
11
00
11
10
10
11
10
01
01
00
10
10
10
10
10
00
01
00
11
11
01
00
10
00
00
00
11
10
10
00
00
01
10
10
10
11
00
00
00
10
10
10
11
10
00
10
01
11
01
10
00
00
11
10
01
00
10
11
11
01
10
10
01
00
01
10
00
00
10
10
00
00
11
00
01
01
00
10
11
01
10
11
00
10
10
10
10
00
10
01
01
10
01
10
00
00
11
10
11
01
00
11
01
00
00
01
01
11
10
10
10
00
01
00
11
11
00
10
00
01
10
11
01
10
10
00
10
11
10
00
10
10
11
00
10
01
11
00
10
00
01
10
10
00
01
10
10
00
01
11
10
11
01
11
11
01
00
10
10
00
01
10
10
00
00
00
00
10
10
10
01
01
10
00
10
00
10
00
10
10
10
00
00
00
01
01
10
10
00
10
11
01
10
01
10
01
01
10
00
00
10
10
11
11
10
00
00
11
10
11
01
00
11
00
11
10
10
00
00
01
00
10
11
00
01
00
00
10
01
00
10
00
00
01
00
11
10
10
01
11
11
10
11
00
11
00
01
10
10
10
00
00
10
10
00
10
00
10
11
10
11
10
01
10
10
10
01
00
10
00
00
11
10
10
10
00
10
10
11
10
10
10
10
00
00
10
10
11
10
11
01
01
10
10
00
01
10
01
10
10
00
10
00
10
10
01
00
01
10
01
10
01
10
11
11
10
10
00
01
00
01
11
00
01
10
00
00
00
11
11
11
01
00
11
10
01
11
10
10
00
10
10
00
00
10
10
10
11
00
10
00
00
00
00
11
00
01
10
10
10
11
00
00
00
10
00
00
01
11
10
11
10
00
10
00
00
01
11
00
01
00
01
00
00
00
11
00
11
10
00
11
10
00
10
11
00
01
10
10
11
01
11
10
10
00
11
10
00
10
11
01
01
10
00
11
00
01
11
00
10
10
00
00
10
11
00
00
11
01
00
10
00
00
01
10
11
00
10
10
00
00
10
00
00
01
11
01
10
00
01
00
01
00
11
10
11
00
10
00
10
11
11
11
00
10
00
00
01
10
00
10
10
00
10
01
00
00
10
00
10
11
10
01
00
11
10
10
10
00
01
00
01
11
10
00
10
01
01
01
10
10
10
10
10
10
00
00
11
11
00
11
00
00
01
11
11
01
10
10
10
10
00
00
10
11
00
11
10
10
10
00
01
00
10
10
01
10
10
01
10
01
00
10
01
10
10
10
10
01
10
00
00
10
11
11
00
00
10
10
11
00
00
10
01
01
01
10
01
00
00
10
10
00
00
11
10
10
10
10
10
01
10
00
00
10
10
10
10
00
01
00
11
01
01
10
11
01
11
11
00
01
00
01
10
11
00
11
10
00
11
10
01
00
01
10
00
00
10
11
10
10
01
11
01
00
11
00
00
00
10
11
00
11
11
11
00
01
10
00
11
10
00
01
10
10
00
01
10
01
10
10
10
10
00
00
01
11
00
11
10
00
00
10
00
00
11
11
10
01
10
11
10
10
01
10
00
00
10
11
10
10
10
10
01
01
10
00
11
00
00
01
00
11
10
11
00
10
10
01
00
10
10
10
10
01
00
01
10
10
11
10
00
11
11
01
00
10
00
00
11
00
00
10
10
00
10
10
10
01
01
11
00
00
00
11
10
01
00
10
00
00
10
10
00
00
10
00
00
11
00
00
11
10
00
11
01
10
01
00
01
10
10
00
11
10
00
11
10
11
10
00
00
00
10
00
00
11
00
10
10
00
10
11
01
01
01
00
11
11
10
10
01
01
10
01
10
11
00
00
01
00
01
11
01
00
10
11
00
00
10
01
00
10
10
01
01
10
11
10
00
10
00
10
10
10
01
10
10
10
10
01
00
10
00
01
10
01
10
01
10
10
00
00
10
01
10
10
10
00
00
10
10
01
10
10
11
10
10
11
10
11
10
00
00
11
10
10
01
01
10
10
01
10
00
00
00
00
10
10
11
01
10
01
00
00
00
11
10
01
11
11
10
00
10
10
00
01
11
10
01
00
00
11
11
00
10
10
10
01
10
10
11
10
10
10
10
01
10
00
00
10
11
01
00
10
01
00
00
11
10
00
00
11
00
10
10
10
10
01
00
00
10
11
00
00
10
00
10
11
00
10
00
01
10
01
00
01
00
00
10
01
00
11
10
00
00
10
10
11
10
01
01
00
01
00
10
00
01
10
11
00
01
11
10
01
01
00
11
10
10
10
00
00
00
11
11
00
00
11
11
00
11
11
10
10
10
01
00
01
10
00
10
00
00
10
10
11
10
10
01
00
10
10
10
00
01
10
10
11
11
10
00
00
11
10
00
01
11
00
00
11
01
00
10
00
10
11
00
00
11
10
00
10
11
10
10
10
01
10
00
00
11
01
10
10
11
10
00
10
10
01
00
01
10
01
00
10
01
11
00
01
01
10
00
01
10
01
00
11
10
01
00
00
01
10
10
01
00
10
11
00
00
01
11
10
10
00
01
01
11
00
10
10
01
10
01
11
10
00
00
00
00
00
10
01
00
00
10
00
10
00
01
00
00
11
10
00
10
00
10
10
11
01
01
10
11
10
00
10
00
01
11
10
11
10
10
11
01
00
00
10
10
10
10
00
00
10
11
11
00
11
00
00
00
00
10
10
10
00
11
10
10
01
00
11
01
10
00
01
01
10
11
00
10
11
11
01
00
00
10
10
01
11
00
01
10
10
10
10
10
01
00
11
10
10
11
00
10
10
10
00
10
00
10
00
01
00
10
00
10
01
10
10
10
11
00
11
11
00
01
11
00
00
00
10
11
11
01
00
10
00
00
11
10
10
01
00
01
10
11
00
10
10
00
00
10
11
10
00
10
00
11
00
10
10
10
10
10
01
01
11
01
11
00
01
11
10
10
00
10
10
00
01
11
00
00
00
10
00
11
10
11
00
00
00
10
10
00
10
11
11
01
11
10
00
00
10
10
00
11
10
10
10
00
00
01
10
01
00
01
00
00
10
00
01
11
10
11
00
00
11
00
11
00
01
11
01
01
10
11
00
01
11
11
01
00
00
11
00
00
10
11
00
00
10
00
11
10
10
11
11
10
11
00
01
00
01
01
10
10
00
00
10
10
01
01
00
11
10
00
00
11
10
10
10
00
11
10
11
01
00
10
10
11
10
00
01
10
00
10
10
00
11
10
01
10
00
10
10
01
11
01
00
10
10
10
10
10
10
01
01
10
01
01
00
10
11
01
01
10
10
11
00
01
10
10
01
01
01
01
10
10
00
10
11
00
00
11
11
00
00
11
10
11
01
01
11
11
00
10
10
00
00
10
11
00
01
10
00
00
10
10
00
10
10
11
10
01
11
11
11
10
00
00
10
00
10
11
00
00
10
11
00
00
11
11
10
11
00
00
10
11
00
10
00
10
00
01
01
10
00
00
00
10
01
00
11
11
00
11
10
00
10
00
00
11
01
01
00
11
00
11
00
01
11
11
00
00
10
10
00
00
00
00
00
01
00
11
10
10
00
10
00
10
11
00
10
00
01
10
00
00
00
10
00
01
10
01
10
01
00
10
10
11
00
00
00
10
01
01
10
10
10
00
00
01
01
00
00
01
01
10
01
00
11
10
00
01
10
11
00
00
10
00
11
10
00
00
10
00
11
00
00
10
11
00
10
00
10
00
01
01
11
00
00
00
00
11
10
10
00
01
11
11
00
00
00
00
00
10
10
00
01
11
00
00
10
11
00
00
10
00
10
01
10
10
00
01
10
00
00
10
00
01
11
10
10
01
11
00
01
10
00
00
11
01
00
10
10
11
11
01
00
11
10
10
00
00
10
11
00
00
11
10
10
01
00
00
11
10
11
10
00
00
10
10
01
00
10
00
00
10
00
00
10
10
00
01
11
00
00
00
10
00
00
10
00
01
11
01
00
00
01
10
00
00
11
10
00
00
11
00
11
00
01
11
11
00
11
10
00
00
00
11
00
10
00
00
00
01
00
10
10
00
10
10
00
00
10
10
01
10
10
00
00
01
10
11
00
01
10
10
10
10
10
01
10
00
00
11
10
10
01
00
10
11
00
01
11
10
01
10
11
01
00
10
01
00
10
01
00
01
10
11
00
01
00
11
11
00
11
11
10
00
10
10
10
10
01
00
01
10
00
10
10
00
00
10
10
11
11
01
11
11
01
00
00
00
01
11
10
10
00
11
10
10
01
01
00
00
10
01
00
00
10
10
10
00
10
11
00
00
00
00
10
01
00
01
10
11
00
10
10
10
10
01
00
10
11
01
10
01
00
10
00
01
00
00
10
10
10
11
10
00
11
00
10
11
00
11
11
00
01
01
11
10
10
01
01
00
10
01
00
11
01
00
10
10
00
10
00
00
10
10
00
00
11
10
10
00
01
10
11
11
11
00
00
10
10
10
00
00
10
10
01
10
10
11
01
01
01
01
10
10
01
01
01
11
11
01
00
01
10
11
00
10
10
00
10
10
11
00
00
11
10
10
00
10
11
11
00
11
00
00
10
00
10
00
10
10
00
10
01
11
00
10
10
01
11
00
01
00
11
10
11
10
10
00
00
00
10
00
10
00
10
00
00
10
01
00
00
10
10
01
11
00
01
10
10
11
00
11
10
10
00
10
10
10
11
10
01
00
10
10
01
10
10
00
00
10
10
01
10
10
00
11
10
00
01
11
10
01
00
11
01
01
00
00
11
11
11
00
10
11
00
00
00
10
10
00
11
00
01
01
00
00
11
11
10
11
01
00
11
01
00
10
11
10
10
01
01
01
10
00
00
10
10
00
10
11
00
00
10
11
00
01
10
00
01
00
10
00
00
01
10
10
01
10
10
00
10
00
10
01
01
10
10
10
10
10
01
00
01
01
11
01
00
10
10
11
01
01
11
10
00
01
00
10
00
01
10
10
10
00
00
10
01
10
10
10
01
10
00
11
00
10
00
10
00
10
10
01
10
10
10
00
00
10
10
11
10
00
10
00
00
10
10
00
01
10
00
11
10
01
10
10
01
00
00
01
11
10
01
10
10
01
00
10
01
00
11
00
01
10
10
10
11
01
01
10
01
00
00
10
10
00
01
10
00
10
10
10
01
10
01
11
10
10
01
10
10
01
00
00
11
10
00
01
10
10
10
11
10
01
01
00
10
11
01
00
00
11
11
01
10
01
10
10
00
00
00
10
11
00
00
10
11
00
10
10
00
00
11
11
10
11
00
00
10
00
11
10
00
00
01
10
11
10
00
00
11
01
00
01
10
11
10
00
10
10
00
00
10
00
11
10
00
00
00
11
11
01
10
10
00
10
00
10
10
10
00
01
01
11
01
00
00
00
00
00
00
01
11
00
01
11
01
01
10
11
10
10
00
00
01
10
11
00
10
00
00
11
10
10
00
11
10
00
00
11
01
01
10
01
00
11
10
00
11
10
10
00
00
00
10
00
10
10
11
00
11
10
00
00
10
01
00
01
10
11
00
01
10
10
01
10
10
00
01
00
10
01
00
11
10
01
01
01
10
11
10
00
01
10
10
01
01
11
10
00
01
00
11
00
01
10
00
11
10
10
10
00
01
10
00
01
10
10
00
10
01
01
10
01
01
01
10
11
00
01
10
10
11
11
00
01
10
11
00
01
10
10
01
00
10
10
10
00
00
11
11
01
00
00
00
10
00
01
11
01
11
10
11
00
11
01
00
10
10
00
10
00
00
10
00
10
01
10
01
00
00
10
11
11
00
00
11
10
01
01
10
00
00
10
10
11
00
00
10
10
00
10
11
01
01
01
11
01
10
11
10
10
01
01
10
11
10
00
00
10
00
10
11
01
00
11
01
00
11
10
10
00
10
01
10
00
00
00
10
10
10
00
00
10
10
00
01
00
00
01
01
10
11
00
10
01
10
11
11
00
00
11
00
00
10
10
01
00
00
11
10
01
10
00
10
10
00
00
10
10
10
00
00
10
01
01
00
00
10
10
00
10
10
11
01
10
00
10
10
11
00
01
10
10
00
00
00
10
10
00
00
00
10
00
10
11
10
11
00
10
00
00
00
01
10
10
10
00
00
10
00
10
11
00
10
01
11
00
11
00
10
11
01
10
01
00
11
10
00
10
01
01
11
01
11
10
01
10
01
01
11
10
00
00
11
11
01
01
11
00
01
11
10
00
00
11
11
00
00
00
10
10
00
10
11
11
00
00
10
00
10
11
10
00
11
10
10
01
00
10
11
10
00
11
10
01
10
11
00
11
01
10
10
00
00
11
10
11
00
10
11
10
10
00
00
10
00
10
00
00
00
10
10
10
00
01
00
10
00
00
00
10
10
00
00
10
11
01
10
01
01
00
01
11
10
00
00
00
00
10
01
10
10
00
00
10
00
11
10
00
00
01
10
10
00
00
01
00
10
10
00
01
00
01
11
11
00
10
01
10
10
00
00
00
10
11
10
01
00
11
01
00
11
11
10
00
11
10
00
00
10
11
10
00
00
10
10
00
00
00
11
00
00
10
11
11
00
10
00
00
10
00
10
11
01
00
10
10
00
11
00
01
00
00
10
10
10
10
01
10
00
10
01
01
00
01
10
00
00
10
10
11
10
01
10
11
10
10
10
00
00
10
11
01
11
10
00
10
00
01
10
10
00
01
10
10
00
11
10
10
01
10
10
01
10
01
10
00
01
00
00
00
01
11
11
10
10
11
00
00
10
00
10
11
00
00
00
11
11
01
10
10
10
11
11
10
01
01
10
10
00
10
01
00
01
00
10
11
11
10
01
00
01
00
11
01
10
11
00
01
10
01
00
10
10
10
00
00
11
10
11
10
01
01
00
00
11
01
00
00
10
10
10
00
00
01
00
00
00
00
11
11
10
10
00
00
01
10
10
10
10
01
11
00
00
01
11
00
00
11
10
00
00
00
11
10
00
11
10
00
00
10
11
10
01
10
10
00
01
00
11
00
00
10
00
00
10
01
01
11
11
00
01
00
01
10
10
01
00
00
11
11
00
01
00
11
00
10
10
10
01
00
11
10
00
11
00
00
01
10
10
10
11
00
00
00
10
10
01
00
11
10
00
00
00
01
00
10
00
00
10
10
11
01
01
10
11
00
10
01
10
10
10
10
10
00
10
00
00
11
00
11
10
10
11
00
00
00
00
11
01
10
00
00
00
00
00
11
10
10
00
00
11
01
10
01
01
00
10
00
01
00
10
11
10
01
00
10
10
00
00
01
00
00
10
10
10
00
00
11
10
00
10
00
00
10
11
00
01
00
00
00
01
01
10
10
00
00
01
10
10
00
10
10
10
00
11
01
00
00
11
11
10
00
01
00
11
11
00
11
11
01
00
01
10
00
11
10
11
00
10
00
00
00
10
11
00
10
10
00
10
10
11
01
10
00
10
10
00
00
01
10
11
11
00
11
00
00
11
10
11
01
01
11
10
00
11
00
00
10
00
11
10
00
00
01
00
00
01
11
11
10
01
10
00
11
00
00
00
00
11
00
00
00
00
00
11
00
10
10
00
10
00
01
00
00
10
10
10
10
11
01
01
10
11
00
00
10
11
11
11
01
10
01
00
10
11
10
00
00
00
10
00
10
11
10
01
10
11
00
11
00
00
00
10
11
01
10
10
00
10
00
01
01
10
10
10
00
01
11
00
00
01
01
01
00
10
00
00
10
11
10
00
11
10
10
11
10
01
10
01
00
10
11
00
10
01
10
10
01
11
10
00
00
00
00
00
10
10
00
00
10
00
10
11
10
10
10
01
10
01
00
00
10
10
10
00
11
00
00
10
00
00
01
00
10
01
10
10
00
11
01
11
11
01
10
10
10
00
11
10
00
00
11
11
10
11
10
11
00
00
10
01
00
10
00
11
01
01
01
10
11
10
00
00
00
11
10
00
11
11
01
00
01
10
10
10
10
10
11
11
00
00
11
00
10
00
11
00
11
10
00
10
01
00
11
11
00
10
10
11
01
01
11
00
00
10
10
10
01
00
10
10
00
01
10
10
00
00
10
00
01
11
11
00
10
10
00
01
11
11
00
10
01
01
10
11
01
01
10
10
10
10
10
01
11
00
10
10
10
00
00
10
11
10
01
10
11
00
01
00
00
00
00
10
11
00
10
10
10
00
00
00
01
00
00
00
10
10
00
00
11
00
01
00
00
00
00
01
10
10
00
01
00
00
10
00
00
00
01
00
01
00
10
10
01
11
11
01
10
00
00
01
00
11
01
00
00
00
00
01
10
10
10
00
00
11
11
01
01
10
10
00
11
00
01
11
10
10
10
01
00
10
10
11
11
00
00
00
10
10
00
10
10
00
10
11
11
10
01
00
00
10
10
00
11
11
01
01
10
11
00
11
01
01
01
11
11
00
01
10
10
00
01
10
10
10
00
10
01
01
10
00
11
00
00
10
11
10
11
00
11
01
00
00
11
00
01
10
00
11
11
00
00
00
00
00
11
00
11
11
10
00
00
01
10
11
00
00
11
10
10
00
01
11
11
11
10
11
01
00
00
00
10
01
00
10
00
01
00
00
00
01
10
10
10
10
01
00
00
01
11
00
00
01
00
11
00
00
10
10
00
00
01
11
01
10
10
01
10
01
10
00
00
10
00
11
01
10
11
00
01
00
10
10
10
00
01
11
00
00
11
01
00
10
00
10
10
10
00
00
10
11
00
00
11
10
01
11
00
10
00
00
00
01
11
11
11
00
01
00
11
00
10
10
00
10
11
10
01
11
11
11
00
11
00
01
10
00
00
01
10
00
11
10
00
11
00
11
10
00
00
10
10
01
10
00
10
10
00
10
11
00
00
10
00
00
10
11
10
10
00
00
10
00
10
11
10
10
00
10
10
00
10
00
10
10
00
11
10
01
00
01
10
10
00
00
00
11
00
11
01
00
00
10
10
00
00
11
11
10
11
00
01
00
10
01
01
10
10
10
00
10
11
11
11
00
11
10
11
00
00
11
01
00
10
10
00
11
10
11
10
10
10
00
00
01
00
10
10
01
10
11
10
00
00
00
10
00
10
10
10
01
01
10
00
11
10
10
00
00
10
10
10
10
00
00
00
00
10
01
01
00
01
10
10
01
01
10
00
01
00
10
01
00
11
10
00
10
01
10
10
00
01
10
10
11
00
10
00
00
11
00
10
10
10
00
00
10
10
10
00
00
00
11
10
10
01
00
00
11
10
10
10
01
10
01
00
10
10
00
10
10
00
01
00
11
00
00
11
00
11
10
11
01
01
01
00
01
10
01
00
00
10
10
10
01
00
01
10
10
01
10
01
01
10
10
10
01
10
01
00
00
10
10
01
00
00
10
00
11
00
10
00
11
10
11
00
00
10
10
00
10
10
00
00
00
00
10
00
01
01
11
11
10
10
10
00
10
01
00
10
11
00
10
01
00
11
00
01
10
10
00
00
10
10
10
00
11
00
10
11
11
11
10
00
00
10
01
11
01
00
10
10
11
10
11
10
01
01
00
10
00
01
11
01
00
11
01
10
10
10
00
01
11
10
11
10
01
10
01
01
10
10
00
00
00
11
11
10
00
01
01
01
10
01
00
00
01
00
01
11
00
00
10
01
00
10
11
00
11
00
00
11
00
00
01
00
11
10
01
01
11
10
01
11
11
10
00
00
11
10
01
01
10
11
10
01
00
00
10
10
10
00
10
10
00
11
00
01
00
00
00
11
10
11
00
00
01
10
00
00
10
11
10
11
00
10
10
00
10
10
01
00
10
10
10
00
01
11
10
10
10
11
10
00
11
00
01
10
01
10
10
00
00
10
10
11
10
01
10
11
00
10
11
00
11
01
01
11
11
01
01
10
10
00
00
00
10
10
01
11
10
10
00
10
11
00
00
01
10
11
00
10
11
00
11
00
01
11
11
01
00
11
11
10
11
01
00
01
10
10
10
00
10
10
01
00
10
10
00
01
00
10
11
10
01
10
10
00
00
01
10
01
00
01
00
00
01
10
01
01
11
11
10
10
10
00
00
01
10
10
00
01
10
10
00
01
00
10
11
10
10
00
00
10
10
00
00
00
00
00
00
10
11
10
11
00
01
11
00
00
00
10
01
00
11
01
10
10
00
00
00
10
11
01
01
10
11
00
00
10
11
10
01
00
11
11
00
10
00
00
00
10
10
00
00
11
10
00
00
00
10
10
10
00
10
10
10
00
10
10
10
10
00
11
00
11
10
01
00
00
00
11
00
00
10
00
01
10
00
10
10
01
01
00
10
10
10
10
01
10
00
00
10
00
10
01
00
10
10
10
01
01
00
01
00
10
00
01
01
00
11
10
10
01
00
01
01
01
11
00
00
10
10
00
01
10
10
00
11
10
00
10
11
00
00
00
10
10
00
01
01
00
00
10
00
10
11
00
10
10
10
11
00
00
10
00
01
11
00
11
01
10
10
00
10
00
01
11
01
10
10
01
11
00
10
00
01
00
11
01
11
01
00
11
10
10
00
00
00
10
00
01
10
10
01
01
10
00
00
11
00
10
10
01
10
10
00
00
00
00
11
11
00
00
00
10
10
01
00
00
11
10
11
00
10
11
11
00
10
00
10
10
11
00
00
01
01
10
10
10
10
11
01
01
01
00
10
11
00
00
10
10
01
00
10
10
10
10
00
00
11
00
00
10
00
11
10
00
00
00
01
00
10
10
10
01
00
10
00
00
11
11
10
00
11
10
10
11
01
01
00
10
11
11
00
10
10
00
01
11
01
10
10
10
10
00
00
11
10
01
01
10
10
10
01
00
01
10
10
11
10
01
01
10
10
10
01
01
00
00
11
00
00
00
10
10
01
00
10
01
10
10
11
11
00
11
00
00
01
10
00
10
00
10
10
01
00
00
10
10
00
10
00
11
10
01
10
00
10
00
10
00
11
10
01
00
10
11
10
00
01
01
10
11
11
00
01
10
10
01
10
10
00
00
00
00
11
10
00
00
00
11
00
11
11
10
10
00
01
00
00
01
11
00
11
10
00
10
10
10
10
00
01
01
11
00
10
10
10
00
00
10
00
01
10
00
00
10
10
11
00
00
01
10
11
00
01
00
11
10
11
00
00
01
10
10
00
00
10
11
00
00
01
00
01
10
01
00
01
11
10
01
10
11
10
00
00
10
00
00
10
10
00
00
11
00
00
01
01
11
10
00
11
01
01
11
00
01
01
10
00
00
10
11
01
00
00
11
00
00
00
01
10
11
10
00
10
10
00
00
10
11
10
10
10
00
00
01
10
01
00
00
11
00
11
00
00
10
01
10
00
10
11
10
00
00
10
00
01
11
10
00
10
00
01
00
01
10
00
01
10
10
01
01
10
00
00
00
11
10
11
10
00
10
11
10
01
01
01
11
01
01
10
00
00
11
10
00
01
10
01
01
00
00
00
11
00
10
10
00
01
10
10
00
10
11
10
01
00
00
00
00
00
10
11
10
01
10
10
00
11
01
11
01
11
00
10
00
01
01
10
10
11
00
00
11
11
00
00
10
01
10
10
00
10
11
01
00
00
11
10
10
00
11
11
10
00
11
10
00
10
00
11
00
01
10
10
00
10
10
00
11
10
00
11
01
11
00
11
00
00
10
10
00
01
00
10
11
00
11
00
00
01
10
11
00
11
00
00
10
11
00
01
11
11
00
00
10
10
00
00
10
10
00
10
00
10
10
01
00
10
10
11
11
10
10
00
10
11
10
01
00
01
11
10
11
11
11
00
01
00
01
10
10
10
00
10
00
00
11
11
01
00
00
11
10
01
00
10
11
00
10
00
10
11
00
10
11
01
00
01
11
00
00
10
10
00
11
01
01
00
01
10
11
00
10
10
00
01
11
10
10
10
00
00
00
01
00
10
00
10
00
00
10
10
11
00
01
00
11
11
10
10
10
10
01
01
00
10
11
00
01
10
01
10
10
00
11
10
01
00
10
10
00
11
10
01
00
11
00
10
00
01
10
00
11
10
00
01
00
10
10
00
10
00
00
01
00
10
11
10
11
10
01
00
10
10
01
10
10
10
00
00
11
10
01
01
10
00
01
00
11
10
00
00
10
10
10
00
01
01
10
00
11
00
10
10
00
00
00
00
00
10
10
00
10
00
00
10
10
00
10
01
10
10
10
11
11
01
10
11
10
10
01
00
01
10
11
00
10
10
00
01
10
01
10
11
00
00
00
11
10
11
00
01
00
10
10
00
11
10
10
00
00
11
10
11
00
10
11
01
11
00
11
10
00
01
00
10
10
11
11
11
10
10
01
10
10
01
01
10
00
00
10
00
11
10
01
11
10
00
00
10
11
00
00
00
10
11
01
10
01
00
11
00
00
00
11
10
01
10
11
10
01
01
00
11
10
10
00
00
10
10
00
00
10
00
00
10
10
00
00
10
10
01
00
11
10
10
10
10
00
01
10
00
00
10
01
01
10
00
00
01
00
10
10
10
00
01
11
11
10
11
11
01
01
00
00
10
10
00
10
10
00
00
10
10
00
00
11
01
10
10
11
10
10
01
11
10
10
10
00
00
10
10
10
00
10
10
00
10
11
10
11
00
10
10
10
00
00
01
01
11
10
00
00
00
10
01
01
00
11
11
10
10
11
00
10
11
01
00
10
00
01
00
01
01
10
00
00
11
10
11
00
00
00
11
11
01
00
10
11
00
01
00
00
11
10
11
10
00
01
10
00
00
00
11
11
00
00
00
01
00
01
00
10
00
11
00
10
01
00
10
10
01
11
10
10
01
00
00
01
10
10
01
10
10
00
00
01
10
10
00
00
10
00
10
10
01
11
11
10
00
11
11
00
10
11
00
01
11
11
00
10
01
00
10
11
10
00
11
00
10
00
00
11
11
00
00
10
10
00
00
10
10
11
00
00
10
10
01
00
10
01
01
11
11
10
11
00
10
00
10
00
01
10
11
01
10
11
10
10
10
00
00
11
10
00
00
00
00
10
01
10
01
00
11
01
10
00
10
00
00
11
10
10
10
01
10
10
00
01
10
00
11
10
00
01
00
00
10
10
01
01
01
11
10
00
01
10
10
11
00
00
01
10
10
10
00
00
00
10
00
11
11
11
10
10
00
10
00
00
10
00
00
11
10
10
00
00
11
10
00
10
00
01
11
01
10
10
01
10
01
11
10
01
00
00
10
10
01
10
00
00
11
01
11
00
00
11
11
10
00
10
10
10
01
01
00
10
10
10
00
00
11
00
00
10
10
01
10
10
00
10
00
01
10
10
10
00
11
10
00
00
10
10
01
11
11
11
00
01
10
10
10
00
00
00
00
10
10
00
00
10
00
00
11
11
00
01
10
11
00
01
01
10
00
01
11
11
00
00
10
11
00
01
00
10
10
00
00
11
11
00
10
01
11
10
10
00
10
10
00
00
10
11
10
10
00
11
01
00
10
01
10
10
11
00
01
11
10
10
00
00
00
10
10
01
10
00
01
10
01
00
10
01
10
11
10
10
00
11
10
10
10
00
01
11
10
00
10
10
00
00
10
10
11
01
01
10
10
11
10
01
11
01
00
00
11
10
11
00
00
00
10
11
11
10
00
10
10
11
00
11
01
10
11
11
00
00
00
01
00
00
11
10
01
01
10
11
00
00
00
00
10
00
00
10
01
00
10
00
10
10
01
10
11
10
10
01
00
01
00
00
10
10
00
00
01
10
01
10
10
10
00
00
00
00
11
10
01
11
11
00
00
01
11
10
01
10
10
00
00
11
01
01
01
10
10
00
00
00
00
10
10
10
11
01
10
00
11
10
01
11
00
00
01
10
00
00
10
01
11
10
01
01
11
10
01
11
10
00
00
10
10
00
00
00
11
11
10
01
00
11
10
00
00
11
10
01
00
11
10
00
01
10
10
00
10
10
01
10
00
00
01
00
00
00
00
10
10
00
10
00
11
00
10
00
00
10
00
10
00
01
00
11
11
00
00
01
11
00
10
10
00
10
00
10
00
10
11
00
01
00
10
10
01
10
10
10
10
01
10
00
11
00
00
00
00
11
00
00
11
10
11
00
01
10
00
10
10
00
00
10
10
10
01
00
00
11
01
00
11
11
10
00
11
00
10
01
01
10
10
00
00
10
10
11
10
00
01
01
00
01
01
10
10
10
10
01
00
11
00
01
10
10
00
00
00
11
10
00
01
01
00
00
11
10
10
00
10
00
10
00
01
00
11
01
11
10
11
01
10
01
00
10
11
10
00
00
10
10
10
10
00
10
11
10
00
10
11
00
00
10
00
10
00
10
00
00
00
01
11
01
00
00
10
00
10
11
01
10
10
10
01
01
10
01
10
11
11
01
00
11
00
11
00
00
00
01
00
11
10
01
10
11
10
10
00
00
01
10
11
00
11
10
00
00
11
10
00
10
10
01
01
00
10
10
11
10
11
01
00
00
00
11
11
00
10
00
00
00
00
10
00
11
10
10
00
01
11
00
00
11
10
10
10
10
11
00
00
01
00
01
10
10
00
01
10
10
01
10
10
11
10
11
01
10
10
10
01
00
11
00
00
10
10
00
00
01
00
10
11
10
00
00
10
11
10
01
01
00
00
01
10
01
10
11
01
10
10
01
11
10
10
00
00
00
11
11
11
00
10
00
10
00
10
10
01
10
00
10
10
00
00
10
11
00
10
10
11
00
00
10
10
00
00
11
10
11
00
01
00
00
10
10
00
00
01
10
01
00
11
00
01
01
00
00
10
11
11
10
01
01
11
11
01
00
10
11
00
10
01
01
10
10
10
00
11
10
01
10
00
11
10
10
00
10
10
00
01
10
00
00
11
00
11
00
10
11
00
01
00
01
11
01
00
11
10
00
10
00
01
10
00
00
00
10
11
00
10
10
01
10
01
10
10
10
00
00
11
00
01
01
10
10
11
00
00
00
11
10
00
11
00
01
11
10
10
11
01
10
11
00
00
10
00
00
00
10
10
00
00
00
01
10
01
11
10
10
00
00
11
10
00
10
00
00
00
10
10
11
01
01
00
11
10
01
10
00
00
11
10
11
01
01
10
10
10
10
10
01
00
10
10
10
00
10
11
01
11
10
01
00
00
10
10
01
00
01
10
01
00
00
10
11
00
00
11
11
11
00
10
10
01
00
00
00
10
10
10
10
11
10
00
01
00
00
01
10
00
01
11
01
10
10
11
00
10
00
00
10
11
10
11
00
10
00
00
10
00
01
10
00
10
00
00
00
00
11
00
00
00
10
11
01
01
00
11
00
11
10
11
01
00
10
11
10
10
10
00
10
00
01
00
01
00
11
10
11
10
10
01
11
00
10
01
00
10
00
00
10
11
10
00
11
10
01
10
00
10
10
01
10
10
01
01
01
00
00
10
10
11
10
00
00
11
00
00
10
10
10
00
10
00
10
00
00
00
01
10
10
01
10
11
10
10
00
10
01
10
10
01
00
00
01
10
10
01
00
00
10
10
00
00
01
00
01
10
11
10
10
01
00
11
10
00
01
10
00
01
10
11
00
10
10
10
11
11
10
01
10
10
11
00
00
10
00
00
11
10
00
11
10
11
10
01
10
00
00
10
11
00
00
11
00
01
00
10
10
10
01
11
00
01
01
00
10
10
10
00
00
10
00
00
00
10
00
11
10
00
01
00
10
00
10
10
11
00
01
00
00
10
01
10
01
00
00
00
10
10
00
00
11
10
11
00
11
00
01
01
10
00
00
10
11
00
01
00
00
10
10
01
00
01
10
10
00
00
10
00
01
10
00
11
01
10
00
01
10
01
10
11
00
01
01
01
10
00
00
00
11
10
00
00
00
01
10
10
10
01
00
01
11
10
00
01
01
00
00
10
10
11
10
00
01
10
10
01
10
01
00
10
11
00
00
10
00
00
00
01
11
10
11
00
00
00
10
01
10
01
00
10
00
11
01
00
10
10
00
01
10
00
11
01
11
10
00
10
00
00
00
00
10
00
11
00
10
11
10
00
00
10
11
11
10
00
00
00
11
01
01
10
11
00
01
10
01
00
11
11
00
10
10
10
01
10
01
00
11
10
00
00
01
00
11
01
10
00
10
00
00
10
10
10
01
10
11
00
00
10
10
10
10
00
10
11
00
00
00
11
00
11
00
10
00
11
10
00
01
11
01
01
10
00
11
01
00
10
10
10
00
00
10
10
00
11
11
10
10
10
10
10
10
10
01
00
00
10
00
00
11
00
00
00
10
11
10
10
10
00
10
10
10
01
00
00
01
11
11
00
00
01
01
01
10
00
10
00
10
10
00
11
11
10
00
10
00
10
01
00
10
00
00
11
11
00
10
00
11
00
01
00
01
00
10
11
10
11
01
10
11
00
11
00
11
10
00
10
11
00
10
11
01
10
00
00
01
11
11
10
10
10
00
10
00
00
10
10
00
10
01
01
00
10
10
10
10
00
10
00
10
00
10
00
10
01
00
00
10
01
10
00
11
00
10
00
11
10
10
11
10
01
00
10
10
10
01
01
10
00
10
11
00
10
01
00
10
11
11
10
10
10
01
00
00
00
10
10
10
10
10
01
01
01
11
11
10
10
00
00
00
10
10
00
10
10
10
00
00
00
10
11
00
00
01
10
00
10
00
00
10
10
00
00
10
10
11
00
10
01
10
01
11
00
00
00
00
00
01
11
10
01
00
11
10
00
10
10
01
00
11
11
00
10
01
10
00
00
00
01
01
01
11
11
10
11
00
10
01
01
10
11
01
01
10
10
01
11
01
01
10
01
01
11
01
11
10
01
00
11
10
00
00
10
10
10
10
01
00
00
00
00
10
00
11
11
11
00
10
10
00
00
10
00
00
00
10
10
00
00
11
01
10
00
01
00
10
00
00
10
10
11
00
00
11
10
00
01
01
11
10
00
11
00
00
11
00
01
10
11
10
01
00
00
00
10
11
11
11
11
00
01
10
00
10
10
01
00
11
01
10
00
01
10
00
01
10
00
01
11
00
10
00
11
01
10
10
10
00
00
10
00
11
00
10
11
10
10
10
01
10
00
00
10
11
11
00
01
11
11
11
00
00
00
11
11
01
10
11
01
01
10
11
00
00
00
11
00
01
00
10
10
10
10
00
10
10
11
10
10
01
00
01
10
10
00
10
00
00
10
10
10
00
00
10
01
11
11
01
10
00
11
10
00
01
00
10
10
10
10
10
00
01
10
00
00
01
01
10
11
10
00
10
00
00
10
10
10
11
10
10
11
00
01
00
10
10
10
01
00
00
00
01
10
10
00
01
00
11
10
11
00
00
00
00
11
10
10
00
10
11
11
10
10
11
00
00
00
11
00
10
10
00
11
00
10
10
00
00
00
10
00
10
11
10
00
10
10
00
10
00
00
11
00
01
11
10
00
11
10
00
11
10
00
00
01
10
00
00
10
10
00
00
01
10
00
01
10
10
00
11
01
00
01
10
00
11
11
01
10
00
01
10
11
11
10
01
00
10
00
00
10
10
11
11
11
00
01
11
00
00
00
01
11
00
01
11
00
01
10
10
01
01
10
10
11
00
10
10
10
01
00
11
00
10
10
00
00
10
10
10
00
00
11
00
01
11
01
10
10
00
01
01
11
11
11
11
00
11
00
00
10
10
00
01
11
11
11
00
10
01
10
01
00
01
10
11
11
10
10
00
00
01
01
11
10
00
10
01
00
00
00
10
11
00
00
01
00
01
10
00
01
00
10
10
10
00
00
10
11
00
10
10
10
01
00
11
00
11
00
10
00
00
00
10
00
01
10
10
01
10
00
01
10
11
11
10
11
10
10
00
00
00
00
10
11
10
00
10
10
01
00
00
11
11
10
10
00
10
10
00
10
10
00
01
00
10
00
00
10
10
00
01
11
11
01
00
00
01
00
10
00
00
11
10
00
00
11
10
00
01
01
11
10
10
10
00
00
10
00
00
10
10
10
10
10
01
10
10
00
01
00
01
10
10
01
00
10
10
10
00
10
10
10
00
00
00
01
10
00
00
10
00
11
11
10
10
11
00
10
00
10
11
01
01
01
10
00
11
00
00
00
10
10
00
00
10
11
01
01
11
00
00
01
00
11
00
11
01
11
01
10
00
01
01
10
10
00
00
00
10
00
10
00
00
00
00
10
00
10
01
00
10
00
00
10
11
10
01
00
11
01
01
00
01
00
10
10
11
10
01
00
00
00
10
01
10
10
00
10
11
01
01
10
01
00
00
00
11
11
00
00
11
00
01
11
00
00
11
01
00
01
10
10
00
10
00
00
10
00
00
10
10
10
01
10
01
11
10
00
10
10
00
10
10
11
10
01
00
10
01
11
10
01
10
10
11
00
10
00
00
10
11
10
11
00
00
00
00
01
00
10
11
00
11
00
00
10
01
10
11
10
00
10
10
01
10
00
01
10
11
10
11
10
10
11
01
10
10
11
01
10
10
00
00
11
11
11
10
01
10
10
01
00
10
10
00
00
11
11
01
10
11
00
10
01
01
00
10
11
00
00
01
11
00
01
00
01
10
00
00
00
01
11
00
00
00
10
10
10
00
00
10
10
01
00
10
10
00
00
11
10
11
10
01
00
00
10
10
11
00
11
10
01
00
10
10
00
00
10
11
01
10
00
10
10
10
01
11
00
01
10
01
01
00
10
00
11
10
10
00
01
00
10
00
10
00
00
10
01
10
10
01
11
11
10
00
11
01
11
11
00
00
00
11
00
10
00
00
00
10
11
00
00
00
11
10
11
00
10
01
00
10
10
10
01
10
01
10
00
10
01
00
11
11
00
00
00
10
00
11
00
10
11
00
01
11
00
00
10
00
00
00
11
11
00
00
00
10
10
11
10
00
11
00
01
10
00
10
01
00
10
10
00
10
10
00
00
00
10
10
11
10
10
00
00
11
10
00
11
10
00
00
01
00
01
10
10
10
10
00
11
11
00
01
11
10
11
10
01
10
10
00
00
10
00
00
10
10
00
10
01
10
10
00
10
10
00
01
11
01
01
00
00
01
00
10
00
00
10
10
00
00
01
10
11
01
00
11
00
11
10
10
00
10
01
00
10
10
00
10
11
10
00
01
11
10
00
10
00
01
11
10
00
01
10
01
00
00
00
11
10
00
00
10
01
11
10
00
11
10
00
00
10
10
00
00
00
10
00
10
10
00
10
10
00
10
00
10
00
11
00
01
00
11
10
01
10
01
10
11
01
01
00
00
00
11
01
01
11
10
00
00
11
01
01
11
10
11
11
10
01
11
00
01
00
10
10
01
00
00
00
00
11
11
10
00
11
01
01
11
11
00
01
00
11
00
11
10
00
11
10
10
00
00
00
00
10
00
00
11
00
10
10
00
01
01
11
10
01
00
01
10
10
11
11
00
00
01
10
10
10
01
01
10
00
00
00
00
01
11
10
10
10
10
10
00
10
10
00
00
01
10
10
00
10
10
00
00
11
01
00
10
01
10
11
10
10
10
10
11
01
10
11
01
01
10
00
11
11
10
00
01
00
10
10
01
00
10
00
10
00
00
10
00
10
01
11
00
11
10
01
10
10
01
10
00
01
10
11
11
00
00
00
01
10
11
00
11
01
01
00
00
10
10
00
00
10
00
00
10
10
00
10
10
01
00
00
11
10
11
11
01
10
10
10
00
11
10
01
11
00
10
00
01
00
00
10
01
11
10
11
10
01
10
00
11
11
10
00
00
11
00
10
10
00
01
00
11
10
00
10
10
10
10
10
01
00
11
00
00
00
00
10
11
10
00
11
10
11
00
00
11
01
00
00
10
10
00
00
01
01
11
10
01
00
10
10
00
00
10
10
01
11
10
10
11
10
11
00
01
10
01
10
11
10
10
01
10
00
00
10
10
10
00
11
10
00
11
10
10
11
10
11
00
01
01
00
10
10
10
00
01
10
00
01
01
10
00
00
01
00
10
00
10
00
00
10
00
01
10
11
10
10
10
00
10
11
00
00
00
00
10
01
10
00
10
10
11
00
10
11
11
00
00
10
11
11
01
01
00
00
00
11
11
10
00
10
10
01
01
10
00
01
10
00
01
01
10
10
01
00
00
00
10
10
10
00
00
01
00
11
00
01
00
00
00
11
00
00
11
11
00
00
11
10
01
01
10
01
01
10
10
10
00
00
00
11
10
00
10
11
00
00
01
11
00
10
00
11
01
10
11
01
10
10
10
00
00
11
00
10
00
01
00
00
00
11
10
00
10
00
10
01
10
10
01
11
11
01
00
11
11
01
00
11
10
01
00
10
11
00
11
10
01
00
00
00
10
11
00
00
10
00
10
00
10
10
01
00
11
11
00
01
01
00
00
01
11
10
01
01
10
11
10
11
00
10
11
00
01
00
00
10
00
01
00
00
10
01
01
10
00
00
11
00
01
00
11
10
01
10
10
00
00
10
10
10
00
10
10
01
00
10
01
10
10
01
11
10
10
00
10
10
01
11
11
00
11
11
00
00
11
10
00
01
00
01
10
10
00
11
11
10
11
00
10
10
10
10
00
10
10
10
00
11
10
00
10
10
10
10
01
00
01
00
10
00
00
10
00
10
10
10
00
10
01
01
10
00
01
10
10
00
00
01
10
00
10
11
01
00
10
11
10
01
01
00
11
10
00
00
00
00
10
00
00
11
00
10
10
10
11
00
10
10
01
00
10
00
11
00
01
00
11
01
00
10
10
10
00
10
11
10
10
00
10
11
10
10
11
00
11
01
10
00
01
11
01
10
11
00
10
00
10
00
00
00
10
10
00
01
10
00
10
10
10
11
11
01
00
01
01
00
11
10
10
00
01
10
10
10
00
01
10
00
00
10
10
00
00
01
10
01
10
01
10
00
00
10
00
00
11
10
00
10
10
01
01
00
00
00
10
11
11
10
01
00
00
11
01
01
10
11
01
10
10
00
00
11
10
00
01
00
11
10
10
11
10
00
00
11
00
01
10
10
10
00
10
00
10
10
10
10
10
01
00
10
00
00
10
10
11
00
01
00
00
10
01
10
10
11
01
10
00
01
11
00
01
01
00
11
00
10
10
00
00
11
01
10
01
00
11
10
10
00
00
00
11
00
10
10
00
10
00
11
11
00
01
11
00
11
11
11
10
10
11
00
00
10
00
00
11
11
10
01
00
01
00
01
11
11
00
01
00
00
00
10
11
10
11
00
00
10
10
01
00
01
10
10
11
11
01
01
00
00
01
10
11
00
00
10
00
10
10
11
00
00
10
01
00
01
10
00
11
00
10
10
01
11
11
00
00
00
01
10
10
11
00
10
10
10
00
10
00
01
10
01
11
10
01
10
00
01
10
00
10
10
00
01
10
10
00
00
10
01
00
11
01
00
11
00
10
00
00
11
10
10
00
10
10
01
00
01
10
00
00
10
00
00
10
10
10
11
01
11
11
00
01
10
01
01
00
10
10
00
11
11
00
10
10
01
00
01
01
11
11
11
01
10
10
01
00
10
10
11
11
10
00
00
00
00
11
10
10
10
01
00
01
00
00
01
10
10
00
10
11
00
10
00
11
01
00
10
10
10
00
11
00
00
10
01
11
11
10
00
11
00
00
01
00
10
10
01
00
01
01
11
11
00
10
10
11
00
00
01
11
10
10
00
00
00
00
11
10
10
01
00
01
00
10
10
00
00
00
10
10
10
00
11
00
01
11
00
00
11
01
10
10
00
10
10
11
00
00
10
11
10
00
10
00
11
00
00
11
11
00
00
11
00
01
10
01
10
10
00
11
10
00
10
00
01
10
00
01
10
00
10
00
10
10
00
00
00
00
00
10
10
00
00
10
00
00
00
00
10
01
01
10
00
10
00
11
00
10
01
00
11
00
10
10
10
10
10
00
00
01
00
11
00
00
11
10
11
00
10
00
00
01
11
10
00
10
11
01
10
00
01
11
00
11
00
10
10
10
10
01
01
01
10
10
00
00
00
11
10
00
01
01
00
01
10
10
10
01
01
10
10
01
01
10
01
01
00
10
10
10
10
00
10
10
00
00
10
10
11
00
10
11
00
00
11
00
00
10
10
10
10
01
11
00
01
01
10
00
11
00
00
11
01
00
01
10
00
10
11
01
11
10
00
11
11
11
11
00
00
10
10
01
00
10
10
01
00
10
00
00
00
00
11
10
11
00
10
01
10
10
11
11
10
10
00
10
10
00
01
10
10
00
01
00
10
10
10
01
00
10
01
10
10
01
01
00
11
10
00
00
10
11
10
01
00
11
00
00
00
10
00
00
10
10
00
01
10
00
00
11
00
11
11
11
10
01
10
00
11
10
01
11
10
00
00
01
11
11
00
10
00
11
01
00
00
10
01
00
11
01
01
11
10
01
11
01
10
11
11
00
10
10
00
00
10
00
10
10
10
10
10
01
00
00
00
00
10
10
00
01
01
11
10
10
00
00
01
11
00
10
10
00
10
00
11
01
11
00
01
00
10
00
10
10
00
10
11
00
00
10
01
11
10
11
00
10
00
10
10
10
10
11
01
10
10
10
01
11
01
00
10
10
00
00
00
11
10
10
00
11
01
10
00
00
11
11
01
10
00
00
10
01
10
11
00
10
00
00
00
10
10
00
11
10
10
10
10
10
10
00
00
01
11
11
11
00
00
00
11
01
10
11
00
01
10
01
00
10
00
11
11
00
01
10
11
00
01
10
00
00
10
00
00
10
00
01
01
00
10
11
10
10
01
11
10
00
10
00
00
10
10
00
10
01
00
10
01
10
11
10
01
10
10
10
10
10
00
00
01
00
10
11
10
01
00
00
10
00
00
10
10
10
10
00
00
00
11
00
01
11
01
10
11
10
11
00
01
00
11
10
01
10
11
01
00
10
10
10
01
00
00
10
10
01
10
10
10
11
00
10
00
10
11
01
10
00
00
11
10
11
01
00
01
11
01
00
01
10
10
00
01
00
10
00
00
10
10
10
01
00
01
11
10
01
00
10
00
10
11
00
10
00
01
10
10
00
01
10
10
00
10
00
01
10
10
00
01
10
10
00
00
10
01
00
10
00
00
00
00
00
00
00
10
11
10
00
11
00
01
00
10
00
11
10
01
00
10
10
01
00
10
10
01
00
10
00
10
10
10
00
00
10
00
10
10
00
00
00
10
11
10
00
00
00
10
00
10
11
01
01
00
10
00
00
00
01
10
11
11
00
01
00
11
10
10
11
00
01
00
01
10
10
10
01
10
10
11
00
01
00
11
01
11
11
11
10
00
00
10
10
01
10
10
00
00
10
10
11
00
00
00
01
00
11
00
01
11
10
11
01
00
11
10
01
01
10
11
11
10
00
01
11
01
10
10
10
00
10
11
01
00
01
00
00
00
10
10
00
00
10
01
10
10
00
10
10
11
10
00
10
00
00
00
00
10
01
10
01
00
01
10
11
00
00
10
10
01
00
00
11
00
01
11
00
10
10
01
00
10
10
11
00
10
01
00
11
11
01
10
00
10
11
01
10
10
00
01
00
00
10
11
00
00
00
11
10
11
10
01
11
10
01
00
01
10
11
00
10
11
01
00
11
10
00
00
10
10
10
10
00
00
10
01
01
00
01
10
10
01
10
00
11
11
10
01
00
10
10
00
01
01
00
10
00
00
01
10
00
10
00
00
11
10
10
10
01
11
11
10
10
11
00
01
00
01
00
10
10
00
11
10
00
00
00
01
10
11
11
00
00
01
10
10
00
00
11
10
11
00
10
10
01
00
10
10
00
00
10
10
10
00
10
10
00
10
10
10
11
00
00
01
00
10
10
00
01
01
10
10
00
11
10
00
00
00
10
10
10
00
00
10
11
10
11
11
01
10
01
10
00
10
10
00
01
10
00
01
11
11
00
10
10
10
11
00
00
01
10
10
00
10
11
11
11
10
11
10
00
01
00
00
11
10
00
01
11
10
10
00
00
11
10
00
11
11
00
10
00
11
11
01
00
11
00
00
00
01
10
11
10
00
10
11
10
00
00
10
01
10
10
01
11
00
11
11
00
10
00
00
01
10
10
00
11
00
10
01
00
10
10
00
00
10
10
00
00
11
00
01
11
10
00
10
11
10
10
00
01
10
10
10
01
00
00
11
00
00
00
10
10
00
00
00
00
10
10
00
00
01
10
01
10
11
11
00
01
10
00
11
10
11
00
01
11
00
11
10
10
00
11
10
00
10
10
00
00
00
01
01
10
11
01
01
01
10
00
10
10
01
10
00
00
10
10
10
00
10
10
10
11
01
01
10
11
10
01
11
10
01
00
00
00
10
10
01
01
00
01
10
00
10
10
00
00
10
11
00
11
10
10
11
10
01
01
10
00
00
10
11
10
01
00
00
11
10
10
00
10
10
10
00
11
00
10
10
00
00
10
01
11
01
10
11
01
10
01
10
11
01
11
10
00
01
11
11
00
00
10
10
00
11
10
10
10
00
10
00
00
01
11
10
11
00
10
00
00
10
00
01
11
00
00
10
00
01
00
10
00
10
10
10
10
00
11
01
11
01
11
00
00
11
10
00
00
11
00
01
11
10
10
00
10
01
00
11
10
01
01
11
11
00
11
11
01
10
01
10
00
00
10
00
01
11
11
10
00
00
00
00
10
10
00
00
10
01
01
00
00
01
01
10
01
00
11
00
00
11
00
00
10
01
00
00
10
00
00
01
00
11
10
11
00
00
00
01
10
10
01
01
10
01
10
10
00
00
10
00
00
00
10
11
00
10
00
11
10
00
01
01
10
10
00
11
00
01
10
01
01
10
01
01
00
10
00
00
10
00
01
10
10
00
10
11
01
10
00
00
00
00
10
11
10
01
00
11
01
01
10
11
00
01
00
00
00
10
10
10
10
01
00
11
10
10
00
10
10
00
10
10
01
10
00
11
10
10
01
10
10
10
01
00
11
01
11
00
10
11
01
11
00
11
10
10
10
00
10
11
00
01
10
00
10
00
00
10
10
00
00
10
01
10
00
00
10
00
11
10
00
11
10
10
00
01
11
00
01
00
00
00
00
10
10
10
01
10
00
10
11
11
00
01
01
00
01
10
10
00
00
11
00
10
11
00
00
10
11
00
00
01
00
00
10
10
00
10
00
11
00
01
01
00
00
01
00
11
01
00
10
10
11
01
01
10
01
01
00
10
01
00
10
10
10
11
00
00
00
10
10
01
10
11
01
00
00
11
00
00
00
11
11
00
01
10
00
00
01
01
01
00
11
00
01
11
11
10
01
01
11
00
01
01
10
01
00
11
10
10
10
10
00
00
00
00
10
11
10
01
00
00
10
10
10
00
00
00
10
10
00
10
00
10
00
00
10
00
01
00
00
01
10
10
10
00
10
10
00
11
00
01
10
10
00
00
01
10
10
00
10
00
11
11
01
11
01
10
11
00
00
11
10
10
01
00
10
11
11
00
00
00
00
10
11
10
00
10
00
10
00
00
10
00
10
00
01
10
11
10
11
00
00
00
00
10
00
11
11
10
10
00
11
11
11
00
01
11
00
01
11
11
00
00
10
11
11
00
00
00
10
00
10
11
00
00
11
10
00
11
00
10
00
10
10
01
00
00
00
00
10
11
00
10
01
00
01
00
11
10
01
00
01
10
10
10
00
00
10
10
00
00
00
10
11
00
10
01
00
00
10
10
00
11
10
11
10
00
01
11
10
10
10
00
00
00
11
01
00
00
00
01
10
11
11
11
11
00
00
00
00
00
10
10
00
10
10
01
00
10
01
00
10
11
10
00
01
10
11
10
01
10
11
11
01
01
10
10
01
10
00
11
10
00
00
10
11
10
00
10
01
01
10
10
10
01
00
00
10
10
00
00
10
10
11
10
00
00
00
10
00
00
01
00
00
00
11
01
10
01
00
01
10
00
10
00
00
10
10
00
10
10
00
00
10
10
00
11
00
10
00
00
10
11
00
10
10
01
10
10
00
01
11
10
00
10
01
10
11
11
01
00
00
01
10
01
01
00
00
10
10
00
00
11
10
10
00
00
11
10
00
00
10
00
00
00
00
10
01
10
10
01
00
10
00
10
10
01
00
11
00
10
11
10
00
00
01
10
00
10
00
00
10
10
00
01
11
01
10
00
01
10
10
11
00
00
10
00
01
00
01
11
10
11
00
00
00
00
10
10
00
11
10
01
10
01
00
11
11
10
11
10
10
01
00
01
11
01
01
11
11
01
00
10
11
00
00
10
11
00
11
01
01
01
11
11
10
10
00
11
00
00
11
10
00
10
00
10
00
00
00
01
10
11
00
01
00
11
10
11
10
11
00
10
01
01
10
11
01
00
11
00
00
10
00
10
10
00
00
10
11
00
11
10
10
10
10
11
00
00
11
01
00
11
01
01
01
10
00
10
10
11
00
10
10
00
11
11
10
11
00
00
10
10
11
10
00
00
11
10
10
00
10
00
11
01
01
00
10
10
10
10
01
01
10
00
11
00
10
10
00
10
00
00
11
00
00
01
10
10
10
01
10
10
00
00
10
00
10
10
10
10
10
10
10
00
10
11
00
10
00
11
10
10
11
00
00
10
11
01
10
00
11
01
01
10
00
10
11
10
10
01
01
00
11
11
10
10
11
10
01
10
00
11
10
00
00
00
00
00
00
10
10
00
10
10
11
00
11
01
01
11
10
10
01
10
10
00
00
10
10
10
00
00
11
00
10
11
10
10
00
10
00
00
00
01
10
11
10
10
00
01
00
01
00
11
11
01
00
10
00
00
11
10
01
00
00
00
10
10
00
00
11
10
10
10
00
10
00
01
11
00
11
00
01
01
00
10
10
00
00
01
11
01
00
11
11
10
00
00
10
11
00
00
10
10
00
10
11
11
10
10
00
01
00
00
10
00
11
10
01
00
11
11
10
00
00
00
10
10
00
11
01
00
10
10
11
00
11
11
11
00
01
00
00
00
10
00
00
00
10
00
00
11
10
00
00
10
11
11
10
01
11
11
01
00
00
10
10
00
00
01
11
10
10
10
01
10
01
01
11
10
00
00
11
10
00
11
11
00
10
00
00
11
10
00
01
10
00
10
11
10
10
00
01
11
01
00
10
00
01
10
10
00
00
10
00
01
10
11
01
00
10
01
10
01
00
00
10
01
11
11
00
00
10
10
01
10
01
00
10
10
00
01
00
10
10
10
01
10
10
01
00
01
10
11
00
10
10
01
10
00
00
10
00
00
10
00
00
00
10
10
11
01
00
10
10
11
10
01
01
11
10
00
01
11
01
00
11
11
10
10
00
00
00
10
00
10
10
01
10
10
00
00
01
01
00
00
10
10
11
10
00
01
01
10
10
10
10
10
00
10
01
00
10
10
10
00
11
10
10
01
00
00
01
10
00
10
00
01
01
11
10
00
00
10
00
11
00
00
00
10
00
01
10
11
11
01
00
01
01
10
00
00
00
10
01
11
00
01
00
01
10
11
10
00
10
10
10
00
10
10
01
01
10
10
10
00
11
00
11
01
10
10
01
10
10
10
10
00
11
00
00
01
10
10
10
10
01
11
10
00
00
01
00
10
10
10
10
01
10
00
00
11
10
10
01
11
00
00
10
00
00
01
00
01
11
11
00
11
00
11
10
00
11
11
10
01
11
10
10
10
10
10
01
00
00
01
11
01
10
10
00
11
00
10
10
01
00
01
10
00
01
00
10
00
11
11
10
00
10
00
10
10
00
00
10
10
00
10
00
00
01
10
10
11
11
00
00
10
00
00
10
01
11
10
10
10
01
00
10
00
00
10
01
11
10
10
01
01
01
01
10
00
01
10
10
00
01
10
01
00
11
10
10
10
01
00
11
01
00
10
11
00
00
00
10
01
01
10
01
10
10
11
00
00
01
11
10
01
00
10
10
01
00
00
11
00
01
00
00
11
01
11
10
00
00
10
10
11
00
01
11
10
10
00
00
10
00
00
11
00
00
10
10
00
10
10
11
10
01
00
11
00
01
10
10
00
10
01
10
00
00
00
10
00
00
10
00
00
01
01
11
01
10
10
10
11
10
10
01
01
10
00
01
11
10
00
00
01
11
00
00
11
00
10
01
00
10
11
10
01
10
10
11
10
01
10
00
01
10
00
00
00
10
10
10
00
01
00
01
10
10
10
10
11
10
11
01
01
11
10
00
10
10
10
10
01
00
00
00
10
00
10
11
00
00
00
01
01
00
00
10
00
11
00
10
01
00
10
01
10
11
10
11
01
00
01
11
00
11
10
00
01
00
10
11
00
10
00
10
11
00
01
10
10
00
10
00
01
11
10
10
11
10
10
00
00
10
10
10
10
00
00
11
10
00
10
00
10
10
11
01
10
10
00
11
01
10
00
10
00
10
10
01
00
10
00
00
11
00
00
01
01
10
10
01
00
00
00
11
00
10
10
00
10
10
10
01
00
10
10
10
10
11
01
11
10
01
11
00
01
00
01
00
01
11
10
00
01
11
10
01
01
11
00
10
10
00
10
10
10
00
00
10
10
01
00
01
01
10
10
01
00
11
00
00
10
10
10
00
01
10
01
00
00
00
11
00
01
10
11
10
00
10
01
11
10
10
00
11
10
10
10
00
00
00
11
10
01
01
10
00
01
00
00
00
00
00
10
01
10
10
10
00
11
00
11
10
11
11
11
00
00
00
10
10
01
01
10
11
01
00
11
11
00
00
11
10
10
01
00
11
10
11
01
01
00
11
00
00
10
11
00
10
10
00
11
01
00
10
10
00
00
01
10
01
10
11
00
10
00
10
00
00
00
11
00
00
00
11
01
00
10
11
00
00
11
10
01
11
01
00
00
11
10
10
00
10
00
00
01
10
10
01
11
00
01
00
10
00
00
11
10
10
01
01
10
10
00
10
10
01
00
00
11
10
10
11
00
11
00
01
10
01
10
00
00
11
00
00
10
10
10
10
10
00
11
10
00
10
10
00
01
10
10
10
01
11
11
01
01
00
10
10
11
00
00
11
00
10
10
10
10
00
00
00
00
00
00
00
11
00
00
11
10
10
00
00
10
01
00
00
01
10
10
00
10
11
00
10
10
01
01
00
01
01
00
10
10
00
10
00
01
10
01
11
01
10
00
10
11
10
01
00
10
10
10
00
10
01
00
10
11
10
00
10
11
11
10
01
10
00
00
00
01
10
10
10
11
11
11
00
01
00
01
01
01
01
10
11
00
00
11
10
01
00
00
11
01
01
01
00
10
10
00
00
00
11
11
11
10
10
00
01
11
11
10
00
00
11
10
00
10
10
10
01
00
10
11
00
01
00
00
01
10
10
10
01
11
00
01
11
11
01
11
00
01
10
10
00
10
00
00
10
10
10
00
10
01
01
10
00
11
10
01
01
00
10
10
11
01
00
11
01
00
11
11
00
00
10
10
00
01
10
11
11
00
10
11
10
10
00
01
11
10
00
10
01
00
10
00
11
00
00
10
00
10
01
10
10
10
10
10
10
10
10
10
10
00
01
00
01
00
00
00
10
10
10
10
00
10
10
10
10
00
10
00
01
10
11
10
00
11
01
10
10
00
01
01
10
10
00
01
01
01
10
11
10
10
00
00
10
11
11
01
10
11
11
10
01
10
00
00
00
10
01
10
10
10
11
00
00
10
10
00
10
10
00
10
11
00
01
11
10
10
10
10
01
00
10
10
01
00
00
01
11
10
00
00
10
10
00
00
11
10
10
10
01
00
10
10
00
10
10
00
00
10
10
10
10
01
00
01
11
11
10
10
10
10
01
00
00
00
10
11
00
00
10
00
11
11
00
01
01
00
10
00
01
00
11
10
10
00
10
01
10
01
00
10
00
01
01
01
00
10
01
11
10
10
01
01
10
01
00
10
10
00
10
01
10
11
00
10
01
00
10
10
01
00
01
00
10
00
10
10
00
00
10
10
10
10
10
00
01
10
00
01
11
00
00
00
00
10
10
10
10
11
10
00
00
01
10
11
10
10
00
01
00
00
01
11
10
01
10
00
10
01
00
10
10
01
10
01
11
10
10
10
01
00
11
10
10
01
00
11
00
01
01
10
10
10
10
11
00
00
01
10
10
01
00
10
00
00
11
00
11
00
10
10
01
11
10
10
10
10
00
11
00
00
10
10
01
00
10
10
00
01
00
00
00
11
00
10
00
01
00
10
10
10
11
00
10
10
00
10
00
01
10
01
11
10
11
10
11
01
01
11
01
11
11
10
10
11
00
00
10
10
11
00
00
10
00
00
10
01
10
01
10
00
00
11
11
10
10
00
11
00
11
10
00
11
00
11
01
10
11
10
00
10
10
00
11
10
00
11
01
10
10
11
11
11
01
00
10
00
00
01
00
10
10
10
00
01
10
10
00
10
10
00
10
11
00
10
01
01
11
00
10
00
10
10
00
00
10
10
00
10
10
01
11
10
10
00
10
00
01
10
01
01
01
11
11
00
01
00
00
10
10
00
00
00
11
10
00
11
11
00
10
00
01
10
10
11
01
10
00
10
10
10
00
00
01
00
11
01
11
01
10
01
00
00
00
11
11
01
00
10
10
00
10
01
00
11
11
11
01
10
10
01
10
10
00
01
10
11
01
00
11
10
01
01
00
01
11
00
11
10
00
10
00
10
10
00
00
10
00
11
00
11
11
11
10
10
10
10
00
00
10
11
00
00
10
10
11
01
01
10
01
11
00
00
10
11
00
00
10
00
01
00
00
11
00
01
11
11
00
10
01
01
00
11
11
01
01
10
11
00
10
10
00
00
00
01
10
11
11
00
01
00
01
00
11
10
00
00
00
00
10
11
00
00
00
01
10
01
10
00
10
10
11
00
10
10
00
01
00
01
10
11
00
01
01
10
11
01
00
01
10
10
00
00
10
10
10
00
00
11
10
10
10
00
10
11
10
01
11
10
00
11
00
01
01
11
10
00
00
00
00
10
00
00
11
10
00
00
01
10
11
01
00
00
00
10
11
11
01
11
10
10
01
00
11
11
00
11
11
10
01
11
01
00
10
10
00
00
10
10
00
10
00
10
00
11
00
11
10
00
10
00
10
10
10
01
00
10
10
11
00
10
01
00
11
11
10
01
00
01
11
00
00
10
10
00
10
01
01
10
00
00
10
10
10
00
00
10
00
11
10
01
10
11
00
10
00
00
01
10
00
10
10
00
01
01
10
01
00
00
00
00
10
10
10
00
01
00
10
11
10
00
01
10
10
11
00
00
00
10
01
01
11
10
01
10
11
01
00
11
00
11
10
01
00
01
01
00
10
01
01
11
11
10
10
01
10
01
00
10
11
01
00
10
10
10
10
10
00
00
00
10
10
01
00
00
11
00
01
00
10
10
10
10
00
10
00
00
10
00
11
00
10
01
10
10
10
00
00
10
00
00
11
11
00
10
10
00
00
00
00
10
11
00
10
01
11
01
00
01
10
10
00
11
11
00
11
10
11
10
00
10
01
11
10
11
00
01
01
10
00
00
01
10
10
00
00
00
01
10
10
10
00
01
00
00
01
00
10
00
00
11
10
10
00
01
01
10
10
01
11
10
10
10
11
01
00
01
00
00
10
10
00
00
00
11
10
00
10
00
01
10
11
11
00
11
00
00
00
00
00
11
00
00
10
10
10
11
01
01
01
10
01
00
11
10
00
00
00
01
10
01
10
11
11
11
01
00
01
10
11
00
10
11
11
11
00
11
00
01
00
10
11
01
10
00
00
00
11
10
10
00
11
10
01
00
10
00
10
00
10
10
00
00
00
01
00
11
00
00
11
11
00
00
10
11
10
00
00
10
10
01
00
00
11
00
00
10
00
10
01
10
00
00
00
00
10
00
00
10
01
00
10
11
10
11
10
10
11
00
11
00
10
00
00
11
00
00
10
01
00
11
10
01
01
10
00
10
10
01
10
10
10
10
01
11
10
00
10
00
01
10
00
01
10
10
10
01
11
11
10
10
00
00
00
10
00
00
00
10
00
00
00
10
10
11
00
00
10
10
00
10
10
00
01
10
11
00
00
10
11
01
00
00
10
01
10
00
01
01
00
11
10
11
11
00
00
10
10
00
00
00
11
00
01
11
00
00
10
10
10
11
10
10
00
11
00
11
10
11
01
10
00
10
11
11
00
00
10
00
00
10
10
00
00
01
11
10
11
00
10
10
10
10
11
11
00
11
01
00
10
10
00
10
10
11
11
00
00
00
11
00
11
00
00
10
10
01
10
01
00
00
00
00
10
11
00
00
10
00
01
00
11
00
00
00
00
10
11
01
00
11
10
01
11
10
01
00
10
11
01
00
11
10
01
11
00
00
10
10
10
00
01
10
00
11
00
00
11
01
01
00
10
00
10
10
10
11
00
00
01
10
01
00
01
11
10
00
00
10
11
00
00
10
00
10
00
00
11
01
00
01
11
01
00
10
10
01
11
10
10
00
00
00
00
00
10
00
10
10
00
00
01
01
00
00
00
00
01
00
10
11
11
11
01
11
01
10
10
10
00
00
10
00
10
10
01
00
11
01
01
01
01
01
00
00
10
11
10
10
00
10
10
00
10
00
00
01
10
00
00
00
10
10
00
11
10
01
00
11
10
00
01
11
00
00
11
01
10
10
00
00
01
11
10
00
10
11
00
11
10
10
01
00
00
11
00
11
11
00
01
11
01
00
00
00
01
11
10
11
11
00
01
00
00
00
10
00
01
11
10
10
00
10
01
10
10
01
00
00
11
00
01
10
10
00
00
00
11
00
00
10
11
10
11
10
00
00
10
10
00
11
10
01
10
00
00
00
00
00
00
10
10
10
01
00
01
11
10
11
11
10
01
11
01
01
00
11
00
01
10
10
10
00
00
11
01
00
01
00
11
11
00
11
10
01
00
00
10
10
01
00
11
01
01
01
01
10
00
00
11
00
00
11
10
01
00
01
10
11
00
10
10
00
01
00
00
10
10
00
10
00
00
10
11
11
11
01
11
10
00
00
00
00
10
10
00
10
01
01
00
11
11
01
11
00
10
10
00
10
10
01
01
11
10
11
01
01
11
00
01
00
10
01
00
00
10
10
01
11
10
10
00
10
00
11
10
00
00
11
00
10
10
10
01
00
01
11
00
01
00
00
00
10
10
00
01
10
01
01
11
11
01
00
01
10
10
10
10
00
00
11
10
11
00
00
10
00
01
00
11
11
10
10
00
01
10
10
01
01
00
01
10
10
10
10
00
10
10
00
01
10
10
11
01
01
01
01
11
10
01
00
01
10
11
01
10
00
01
10
01
10
10
00
01
10
10
10
00
01
00
00
00
00
00
01
11
10
00
10
01
01
10
10
11
01
01
10
00
01
11
11
11
11
01
01
11
10
00
01
10
00
10
10
01
01
10
11
10
10
00
10
00
01
10
11
10
00
10
00
10
00
01
11
10
10
11
10
00
01
00
01
10
00
11
10
00
10
10
00
11
10
10
01
10
00
00
00
10
10
00
00
10
11
00
10
10
00
00
10
01
00
00
10
00
10
01
01
00
10
01
10
00
11
11
01
01
01
10
00
10
10
00
11
10
00
11
00
01
00
11
10
11
11
01
00
11
00
00
10
10
00
00
10
10
10
10
11
00
10
01
11
10
01
01
00
11
00
11
10
00
10
00
00
10
01
00
00
11
01
01
00
00
00
10
11
00
00
11
10
00
01
10
10
00
00
10
10
00
11
00
10
10
10
10
01
01
01
11
10
10
00
00
11
01
00
10
00
10
01
00
10
11
00
01
11
01
00
10
11
00
00
10
11
00
01
10
01
01
11
10
10
11
10
00
10
10
00
00
10
10
00
00
11
11
10
00
01
00
00
01
00
10
10
01
11
00
10
00
10
10
00
00
00
11
00
01
10
10
11
01
10
10
10
00
00
10
01
00
10
10
00
10
10
00
10
00
10
10
01
01
10
00
01
10
01
01
00
10
10
11
11
10
10
11
01
00
11
00
10
01
01
10
01
00
11
00
00
10
11
10
00
11
10
01
01
00
11
01
10
00
11
10
10
11
01
00
00
00
01
10
01
01
10
10
10
11
10
00
01
00
11
00
00
10
00
01
10
10
01
00
00
00
01
01
00
10
10
10
00
00
10
10
11
00
10
00
01
10
10
00
00
01
01
10
10
00
00
10
10
10
00
10
00
00
10
10
10
11
10
10
01
01
01
11
11
10
10
00
10
10
10
00
10
00
11
01
10
10
00
00
10
00
00
00
00
00
10
10
01
00
11
01
00
11
10
11
00
00
11
10
00
00
10
11
01
01
01
10
10
01
10
00
10
10
00
00
11
10
00
11
01
01
10
10
10
00
11
10
01
00
10
00
11
00
10
10
10
11
00
00
01
01
10
00
11
00
01
00
10
11
10
00
00
00
00
11
01
11
00
00
10
11
01
11
11
00
00
10
00
00
10
10
00
10
10
01
10
11
00
00
00
10
10
00
10
10
10
00
11
11
00
00
10
01
01
00
10
11
01
00
00
00
11
11
10
11
01
10
11
11
00
00
10
11
10
10
01
00
10
10
00
00
00
01
00
11
10
10
00
00
10
11
11
00
00
11
00
00
10
01
10
11
00
11
00
01
00
11
10
10
11
00
01
00
10
10
00
10
11
10
01
00
10
11
00
00
00
00
10
10
11
01
00
10
00
10
00
01
00
10
10
11
00
10
00
00
00
10
01
01
01
10
10
11
00
00
10
10
01
00
11
11
10
00
00
10
00
10
10
00
11
10
10
10
11
01
10
10
00
00
10
11
11
00
00
10
00
00
01
10
10
00
10
01
00
10
10
01
00
10
00
00
00
11
00
00
10
11
00
10
01
01
10
01
00
10
10
00
01
11
11
00
11
00
01
10
01
00
00
10
10
10
00
00
11
11
10
10
11
11
10
00
10
10
10
11
01
10
00
10
11
11
00
01
00
00
00
00
10
00
00
01
10
10
10
11
10
11
11
10
11
11
11
01
01
00
11
11
11
10
01
00
00
10
10
11
10
01
11
00
00
11
10
11
10
00
01
10
11
01
10
00
10
11
01
00
00
01
11
10
10
11
00
11
11
01
10
10
00
00
10
11
10
00
00
10
10
00
00
00
00
00
00
11
01
00
00
01
00
01
10
10
00
10
11
00
01
11
11
00
01
10
00
11
11
01
01
11
01
10
10
11
10
11
10
00
01
00
10
11
01
00
01
00
10
10
00
00
00
00
10
10
11
10
00
11
11
00
01
10
10
10
11
11
01
10
10
10
10
10
01
00
00
00
10
00
00
00
00
10
10
00
10
00
11
10
00
00
01
10
11
00
00
11
10
11
10
00
00
10
10
11
01
00
01
10
10
00
10
00
00
01
11
00
10
11
01
00
11
10
00
00
11
10
00
01
10
11
10
00
01
10
11
01
11
10
10
10
00
11
11
01
00
10
10
10
10
01
00
10
10
10
10
01
10
01
00
00
10
01
10
10
00
00
10
00
00
10
01
11
10
10
00
10
10
00
00
10
10
01
10
00
11
10
01
00
01
00
00
10
10
00
10
01
01
01
10
01
10
10
10
10
00
10
10
10
11
11
00
00
10
10
10
10
10
01
11
00
00
00
10
10
00
00
01
10
01
00
10
10
10
10
11
01
00
10
11
11
00
01
00
10
10
11
00
11
10
11
00
01
10
00
10
01
00
10
00
10
10
01
10
11
01
00
10
00
00
01
10
10
00
10
10
10
01
10
10
00
10
00
00
11
10
10
00
10
11
00
01
01
10
10
00
11
11
11
00
00
00
01
10
01
10
10
00
01
11
00
10
11
10
00
10
10
00
01
00
00
10
10
10
00
01
10
11
01
10
11
01
00
11
11
00
00
00
11
10
00
00
00
01
10
10
00
11
11
00
00
00
00
10
01
00
11
10
01
11
11
11
10
00
00
00
10
10
01
01
10
11
10
10
00
01
10
11
01
00
11
10
00
01
10
10
00
00
10
10
10
01
10
00
10
10
00
11
11
01
00
11
10
10
00
00
10
10
00
01
00
10
01
00
11
11
00
10
00
10
10
00
00
01
10
00
10
01
00
00
00
10
11
01
10
00
11
11
01
00
10
10
00
00
10
10
00
11
11
11
10
10
11
10
10
00
00
00
11
11
11
10
10
10
00
00
10
10
00
10
10
10
01
00
10
01
10
01
00
01
10
00
10
00
11
10
10
00
00
01
10
11
01
10
00
11
11
10
01
00
10
00
00
10
01
01
00
10
10
01
00
10
01
11
10
00
10
00
10
10
00
11
10
11
00
00
00
11
10
11
00
01
10
11
10
11
00
11
01
00
10
10
01
00
10
11
00
10
00
00
11
00
01
00
10
10
10
10
00
00
00
00
11
10
00
10
00
00
11
10
00
11
10
11
10
00
10
11
01
10
01
10
01
10
10
10
01
00
10
01
00
11
10
10
10
01
10
10
00
00
00
00
01
00
00
11
10
01
11
10
00
01
01
10
00
00
10
10
00
10
00
10
00
11
01
00
11
01
11
10
10
01
00
11
00
01
01
10
10
10
00
10
10
10
01
00
11
01
00
01
00
10
10
00
00
00
10
11
11
00
10
10
10
01
11
10
00
01
11
00
10
10
00
00
01
00
11
11
10
10
00
11
00
11
00
00
00
00
01
11
00
11
11
00
11
01
01
00
00
10
10
00
01
10
10
00
00
11
01
00
01
01
10
10
10
10
00
01
10
01
01
10
11
00
00
10
10
10
11
00
01
10
00
01
00
01
11
10
00
01
10
00
00
10
00
10
00
11
10
00
11
00
00
01
10
01
10
10
01
00
10
11
00
00
10
10
01
00
10
10
01
00
00
11
11
00
00
01
00
10
10
00
10
11
00
10
10
00
00
11
10
00
00
10
10
00
00
10
11
11
00
10
10
00
00
10
11
10
00
00
11
10
10
01
01
10
00
00
01
00
11
10
10
00
01
10
10
00
00
11
00
10
10
00
00
01
11
01
01
10
10
00
10
11
00
00
10
10
01
10
00
00
01
11
01
10
10
01
00
11
10
00
01
01
01
10
01
10
01
11
10
01
11
10
11
11
00
01
00
10
01
01
11
10
10
00
10
10
00
00
11
01
11
10
10
00
00
01
01
00
10
01
00
01
11
10
11
10
00
11
10
01
10
00
11
11
10
11
00
01
00
11
11
00
00
10
01
01
00
10
10
00
01
10
00
00
11
10
00
01
11
01
00
11
00
10
00
00
10
10
10
00
10
11
01
10
00
01
00
10
10
01
10
00
11
00
10
10
11
10
00
10
01
00
00
10
10
01
01
10
01
00
10
10
11
01
00
00
10
11
00
10
00
10
10
00
00
11
00
00
10
10
00
10
11
01
01
11
00
01
00
10
11
11
11
00
11
10
00
00
00
11
00
00
10
00
00
11
10
00
10
11
10
10
00
01
01
10
01
10
00
10
10
00
00
10
10
10
01
00
00
00
00
11
00
11
10
01
00
10
00
01
10
00
00
11
10
00
00
11
00
11
10
00
00
10
10
00
10
00
11
11
00
10
00
00
00
10
10
00
10
00
10
10
00
01
10
10
00
00
11
00
11
11
00
11
11
00
00
00
10
10
01
00
00
00
10
10
00
11
01
10
11
00
10
00
01
11
00
01
11
01
01
10
10
01
10
01
11
01
10
00
00
10
10
00
01
11
10
00
00
00
00
00
10
11
10
01
11
00
10
11
01
01
00
00
10
01
00
00
00
10
11
01
10
10
10
01
10
10
00
10
10
01
10
10
00
10
01
10
00
00
10
01
00
10
10
10
00
10
01
00
00
11
10
10
00
11
10
00
11
11
11
11
01
01
10
00
11
10
01
10
10
00
11
10
00
10
00
00
00
01
10
11
10
10
11
00
01
00
10
01
10
01
01
11
10
00
11
11
10
00
00
01
00
10
00
10
11
00
10
10
10
10
10
01
10
01
10
11
00
11
11
10
01
00
00
01
10
10
01
00
11
00
00
00
10
01
10
01
00
01
00
10
00
10
10
01
01
10
01
01
00
01
00
01
10
00
10
11
00
11
11
00
00
10
11
11
10
00
00
10
10
10
10
00
10
00
11
10
10
00
01
10
00
01
10
10
01
10
00
00
10
10
10
01
01
11
10
10
10
10
00
00
00
10
11
00
11
11
01
00
10
00
10
10
00
10
10
10
00
10
00
00
00
10
10
11
10
10
01
11
01
01
10
11
10
10
01
11
10
01
10
10
11
10
11
01
01
10
00
10
10
11
11
10
00
00
00
10
01
00
10
01
00
10
00
00
10
00
01
10
10
01
10
01
10
01
00
10
10
01
10
11
00
00
10
10
00
00
00
10
11
00
00
10
10
00
00
10
01
00
11
00
00
00
00
01
00
01
10
11
00
11
10
00
00
10
00
00
11
11
00
00
00
01
10
10
00
11
11
10
10
00
10
00
01
00
11
00
11
00
11
11
11
00
10
01
00
11
00
10
10
10
00
10
01
00
01
10
10
11
00
11
00
11
01
00
10
10
11
00
00
00
10
11
00
00
10
01
01
00
10
00
00
00
10
11
00
11
00
01
00
10
11
01
11
00
11
10
11
00
11
11
00
00
00
11
10
11
00
10
10
00
10
01
10
10
11
11
00
00
00
10
01
01
10
00
00
00
10
00
00
10
10
00
10
00
00
00
11
10
10
00
00
01
10
01
10
11
01
01
10
01
00
00
01
00
10
01
00
10
00
10
10
00
00
00
10
11
10
00
10
11
10
00
00
10
10
10
11
00
11
11
01
00
01
10
00
11
10
01
01
11
00
11
10
00
10
11
00
01
11
11
11
11
10
11
00
00
00
10
11
10
11
00
10
10
00
00
00
01
00
01
11
10
01
10
00
01
01
11
01
11
00
00
11
10
00
00
10
10
00
01
01
01
01
10
00
10
01
10
10
00
00
10
00
01
10
10
00
00
10
11
00
10
00
10
11
00
11
00
10
10
11
00
01
01
00
00
10
00
00
00
10
01
00
11
00
10
00
01
11
11
00
10
00
11
01
00
11
01
10
10
00
00
00
11
10
10
10
10
11
00
01
11
10
01
01
00
10
00
00
10
11
00
10
11
00
11
00
10
00
11
10
10
11
00
00
00
10
11
00
01
11
00
01
10
00
10
00
00
10
10
00
10
00
00
00
00
11
11
11
01
10
10
10
01
10
10
01
00
01
10
11
00
00
01
10
10
00
01
00
00
01
01
10
11
01
00
00
10
01
10
00
01
10
01
00
10
10
11
00
11
00
01
00
10
10
00
00
10
00
00
00
00
00
01
01
10
11
10
10
10
00
00
01
10
10
11
10
10
10
00
00
00
00
10
01
00
11
10
00
10
10
10
10
10
00
10
10
10
00
00
01
10
01
00
10
10
10
10
00
10
01
00
10
11
00
01
10
00
01
11
10
00
00
10
01
10
01
10
00
01
10
00
10
11
11
10
01
00
10
01
11
00
00
10
11
00
01
10
11
00
11
11
00
10
11
10
00
00
00
00
00
11
10
00
01
11
11
00
10
10
00
01
01
11
11
10
10
01
10
10
01
00
10
10
01
01
00
10
10
10
10
10
10
10
00
00
00
00
01
00
00
10
10
00
01
10
10
10
01
01
11
00
00
00
11
01
10
10
01
00
00
10
11
00
00
00
11
00
00
00
10
00
10
10
01
00
10
10
01
10
11
00
00
10
10
00
01
11
10
00
00
10
00
11
10
01
01
10
10
00
01
10
00
01
00
11
10
01
10
11
10
01
00
10
00
01
00
11
01
00
00
00
00
00
00
11
10
10
01
11
01
10
11
00
00
11
11
10
01
10
10
11
00
00
11
11
10
00
01
00
11
10
00
01
10
11
10
10
01
00
11
10
10
00
11
01
00
01
11
11
10
00
01
11
10
01
10
00
00
10
00
10
10
00
10
00
10
00
01
00
10
10
01
00
00
10
10
00
01
00
00
00
00
00
11
00
00
11
11
00
00
00
01
00
11
10
00
00
10
10
00
01
10
01
10
10
01
00
10
00
10
00
10
01
01
11
01
11
10
01
00
00
10
10
01
10
01
00
00
10
11
00
11
10
01
00
11
00
00
10
00
10
00
10
10
11
00
01
10
00
00
10
00
11
10
00
10
01
00
11
10
00
10
11
00
00
00
10
11
10
00
00
10
10
11
00
00
10
10
00
00
00
01
11
11
10
01
10
00
11
00
10
00
00
11
00
10
00
00
10
00
10
10
11
01
11
10
01
00
01
10
01
10
10
01
00
11
11
00
11
01
00
00
01
00
10
10
10
00
11
10
00
10
10
11
11
00
01
10
10
11
00
00
10
10
00
10
10
10
01
10
10
01
10
11
10
00
10
10
10
01
00
11
10
11
00
11
01
00
11
10
11
00
10
10
00
10
00
10
10
01
00
00
01
01
10
01
00
00
00
01
10
10
10
01
10
00
10
00
00
10
10
10
11
01
00
10
11
10
10
10
00
00
10
10
10
10
01
11
11
10
11
00
00
11
00
00
00
10
10
10
01
10
10
10
10
01
00
01
01
11
00
10
11
10
00
01
10
10
10
10
01
00
10
11
00
10
00
01
00
11
11
00
10
01
00
00
01
11
10
00
00
00
00
00
10
10
00
11
10
00
10
00
11
00
10
01
11
10
10
10
01
00
10
10
11
10
11
10
01
01
00
10
11
00
00
10
00
00
10
10
10
00
00
10
00
10
10
10
00
00
11
11
10
00
01
10
01
10
01
10
10
10
10
10
11
10
01
10
11
01
00
00
01
00
00
11
10
00
00
11
11
10
00
00
11
10
10
01
00
10
01
10
11
00
00
10
10
00
00
10
10
00
00
11
00
10
10
10
10
00
00
00
11
01
01
00
01
00
00
01
01
00
10
10
10
10
11
10
01
10
01
11
10
00
01
11
10
00
01
01
00
01
01
11
00
10
10
00
11
10
00
10
11
01
00
11
10
00
01
00
10
00
11
10
00
00
00
00
00
00
10
10
10
00
11
10
00
01
11
11
10
00
01
10
10
00
00
11
11
10
10
11
10
00
01
10
11
00
10
11
00
01
11
10
11
11
00
01
01
11
00
10
10
00
01
11
11
10
01
01
10
10
11
10
10
10
00
10
00
00
10
10
10
10
10
10
00
10
11
01
11
11
00
00
00
11
00
00
10
10
00
00
00
01
10
00
01
10
00
11
11
10
10
10
00
01
10
00
11
00
00
01
10
10
00
00
00
10
01
10
10
11
00
01
10
00
11
10
10
10
10
00
10
10
10
01
00
00
00
01
10
00
11
10
00
11
00
11
00
00
01
10
00
01
10
00
00
11
11
11
00
10
00
00
00
00
01
10
11
10
11
01
00
01
00
10
00
00
10
10
00
00
00
10
11
10
11
10
01
10
11
00
10
00
01
00
10
01
00
10
01
10
01
00
11
01
01
00
11
10
11
00
00
01
11
10
01
01
10
00
00
10
01
11
00
00
10
00
00
00
10
11
10
00
01
10
10
10
00
01
11
10
00
10
01
00
10
10
10
00
10
11
01
10
00
10
00
11
00
11
10
00
00
10
01
01
11
10
01
01
00
10
00
01
10
10
00
10
01
01
00
00
10
00
00
00
10
11
01
10
10
10
10
10
00
00
00
00
10
10
11
01
00
01
11
00
00
10
11
00
01
10
10
10
00
01
10
00
00
11
00
01
00
01
01
10
10
10
00
00
10
10
01
00
00
01
00
00
11
01
01
00
00
10
10
00
00
10
11
01
00
10
00
00
10
00
00
10
11
10
00
01
10
00
10
11
01
10
00
10
10
01
10
11
10
00
00
00
01
00
00
10
00
10
10
00
00
10
01
11
11
00
10
00
00
00
10
00
00
00
10
10
10
11
10
10
01
01
00
01
11
11
10
00
10
00
01
10
00
00
00
00
01
11
11
00
00
11
10
01
01
10
11
01
11
00
00
11
10
10
01
10
01
00
10
00
00
01
11
01
00
11
10
00
10
10
00
01
11
01
00
10
10
01
00
10
00
10
10
01
01
10
00
00
00
00
01
00
11
10
10
10
00
10
00
10
10
01
10
00
00
10
01
11
01
11
10
11
10
11
10
10
00
00
00
01
00
11
10
01
01
10
00
10
01
00
10
11
01
10
10
01
01
10
01
00
10
10
00
10
11
10
01
01
01
11
10
00
10
10
10
01
00
00
01
11
00
10
11
01
10
10
00
00
11
10
00
10
00
00
10
00
10
00
11
10
01
11
01
01
01
11
11
00
00
00
11
10
00
10
10
00
01
00
01
00
10
00
11
10
11
10
00
00
11
01
01
00
11
01
01
10
01
01
10
10
01
10
11
10
01
01
11
00
10
10
10
00
10
11
00
10
00
00
10
11
11
11
10
10
00
01
01
00
01
10
00
00
10
10
00
10
10
00
11
11
00
01
01
00
10
00
00
10
10
01
10
11
11
00
00
11
10
00
10
00
00
10
11
11
11
00
10
10
10
01
10
01
01
11
00
10
10
10
01
00
10
10
00
11
00
00
00
00
10
00
00
10
10
00
00
11
00
00
10
01
00
01
10
11
01
01
11
10
10
00
00
10
10
10
01
00
10
10
00
00
01
00
10
10
01
11
10
00
01
01
10
10
10
00
00
11
10
11
00
11
00
01
00
00
01
00
10
10
10
10
00
10
10
11
10
11
00
10
00
10
10
01
10
00
10
11
00
11
10
01
11
11
10
00
10
10
11
00
00
10
00
01
10
00
00
11
01
00
00
00
11
11
10
10
00
10
10
10
10
00
00
10
10
00
10
00
01
00
10
10
10
01
01
10
10
01
00
11
00
00
10
10
10
00
11
01
00
10
00
00
10
00
00
10
00
01
10
10
10
10
11
00
10
00
10
10
11
10
00
10
11
00
00
11
10
01
01
10
01
10
11
10
10
00
11
10
00
00
11
10
11
00
10
11
10
00
11
10
01
00
11
10
11
10
01
10
00
11
00
00
10
00
10
11
00
01
00
01
01
11
00
00
11
11
01
00
01
10
00
01
00
10
11
00
01
01
01
01
11
00
10
11
11
00
01
10
10
10
01
00
00
11
10
00
00
00
01
10
11
10
00
10
00
10
00
00
10
01
10
00
11
01
01
10
10
00
11
00
10
10
01
00
01
00
10
01
11
11
01
01
11
10
00
10
00
00
10
00
00
00
01
10
11
01
10
00
10
10
00
10
10
11
00
00
10
00
10
00
00
11
10
00
11
11
00
01
00
11
11
00
00
10
01
00
10
10
11
10
11
00
10
00
01
01
00
00
00
00
00
10
10
10
10
10
00
10
10
10
10
00
00
00
10
10
00
00
10
10
10
01
00
10
10
10
00
11
11
10
01
00
01
00
00
10
01
00
10
00
00
10
10
10
01
10
10
01
00
11
00
11
10
00
10
00
00
01
00
11
01
00
10
11
00
11
10
00
01
01
01
11
11
10
10
10
10
00
11
00
00
01
00
10
10
00
00
01
10
11
10
11
00
10
10
10
10
01
00
10
00
10
10
00
10
01
11
11
11
10
00
01
10
11
10
10
00
00
11
00
10
10
11
10
11
00
10
10
10
10
00
00
10
00
11
01
01
11
10
00
00
00
00
10
10
01
10
10
10
01
10
01
01
01
11
00
11
10
10
10
10
11
00
00
11
10
01
00
11
00
11
10
11
00
00
11
10
11
00
00
01
10
11
10
01
00
00
10
10
00
00
10
10
00
00
00
00
00
10
10
10
11
10
01
00
10
00
10
11
00
00
01
10
00
10
01
11
00
00
10
00
00
10
01
10
10
00
10
10
10
01
10
01
00
00
00
10
01
11
10
00
11
01
00
11
01
00
10
10
00
00
10
10
01
00
00
10
00
10
00
10
11
00
10
00
10
10
11
00
10
11
11
10
01
11
00
10
10
00
00
10
11
00
00
11
01
11
00
10
10
01
11
10
00
10
10
01
11
10
11
00
10
10
00
00
10
00
00
10
10
10
10
10
10
00
00
10
11
00
01
01
00
10
00
01
10
10
10
00
01
00
01
11
10
10
10
11
00
10
10
01
00
10
00
11
00
00
10
01
00
11
11
10
11
01
10
10
10
00
10
10
10
11
00
01
00
10
10
10
10
00
11
10
10
00
10
00
01
11
10
00
11
10
00
11
01
11
11
10
00
00
10
00
10
11
01
00
11
10
01
00
00
11
11
01
01
10
11
10
11
10
01
00
01
00
11
10
00
00
10
10
11
10
00
01
10
01
10
10
00
10
00
00
10
10
00
11
00
01
00
10
00
01
00
11
00
00
00
10
00
10
10
01
00
01
11
11
00
10
11
10
00
00
10
10
11
00
00
10
10
00
00
00
10
10
01
00
00
10
10
00
00
11
01
11
10
10
11
11
00
10
00
00
10
00
00
10
10
11
10
01
01
00
10
11
00
11
10
00
00
00
00
10
00
10
01
01
10
00
11
10
11
01
00
10
10
00
10
10
01
00
00
10
00
11
10
11
10
01
01
01
10
01
11
01
11
11
01
01
10
10
00
10
11
00
11
10
01
00
10
10
01
11
10
00
01
00
10
11
10
00
10
00
10
00
00
11
00
00
10
10
00
11
11
01
00
01
00
00
10
10
10
00
00
11
10
10
10
10
10
01
00
11
00
00
11
01
11
11
00
00
10
10
10
00
10
10
00
00
10
10
10
01
11
01
00
10
10
01
11
10
00
10
10
10
00
10
00
11
10
01
10
10
10
00
10
00
11
01
01
10
00
10
10
00
01
10
10
00
00
00
00
01
01
00
11
10
10
10
10
01
00
10
10
00
00
01
10
11
11
00
10
10
11
00
11
10
00
00
11
01
00
11
01
10
00
10
10
11
00
01
11
00
10
00
10
11
10
01
00
00
11
10
10
00
01
10
01
10
01
01
10
10
11
10
11
01
00
00
10
11
00
10
10
01
01
10
10
00
11
00
00
00
10
11
01
11
01
10
01
01
10
10
00
10
10
11
00
01
00
01
00
11
11
11
00
10
10
00
00
00
10
10
00
10
11
00
10
01
00
00
10
00
00
10
10
10
01
00
10
00
00
10
01
01
01
11
10
01
10
00
10
00
00
11
10
00
00
00
00
00
11
10
01
10
11
00
10
01
00
00
01
11
10
01
10
10
00
11
11
00
00
10
01
10
00
11
10
10
00
00
10
10
00
10
11
11
11
10
11
00
01
10
10
01
01
10
10
00
00
00
11
10
10
11
01
11
10
00
00
10
10
10
00
01
01
00
00
00
00
00
00
00
00
00
10
00
01
10
10
01
01
10
11
10
00
01
11
10
00
00
10
10
01
01
10
10
10
10
00
10
10
00
00
10
10
00
01
00
10
10
10
10
01
00
11
10
01
11
11
00
10
10
00
01
00
10
10
10
01
00
01
00
01
10
11
10
00
00
10
01
11
00
10
11
11
11
00
01
01
11
10
00
00
11
01
00
11
00
00
11
01
11
10
01
10
00
00
00
01
10
11
00
10
11
10
00
00
01
11
01
11
10
00
11
00
00
10
00
10
10
10
11
00
00
10
01
00
10
10
11
10
10
10
00
00
00
00
10
00
00
11
00
11
00
10
10
01
11
00
00
10
00
00
00
11
01
01
11
10
10
10
11
10
10
00
00
00
11
01
11
00
01
01
00
00
10
00
00
10
10
01
10
00
01
00
00
10
00
00
00
00
00
01
10
11
10
11
00
00
01
10
00
00
11
10
01
00
11
01
00
01
11
00
11
00
11
11
00
00
10
10
00
10
10
10
10
01
01
10
10
00
10
11
00
00
00
10
10
00
00
10
11
00
10
10
00
11
11
10
00
11
10
10
00
00
10
00
10
01
00
10
10
10
00
00
00
00
10
10
10
11
00
11
01
00
10
00
01
10
10
01
10
11
11
11
10
01
00
10
01
00
01
10
00
00
10
01
11
00
01
01
11
01
10
11
01
01
10
00
01
11
10
01
11
01
01
10
10
11
00
00
10
00
00
00
10
10
00
11
10
01
11
00
00
00
10
11
00
01
01
10
01
00
10
00
01
00
11
10
01
10
00
11
00
00
00
00
10
10
10
10
00
00
10
11
01
01
10
01
10
00
11
11
01
00
01
10
11
10
00
00
00
10
10
10
10
11
00
01
00
01
10
10
01
00
11
11
10
00
01
10
10
00
01
00
11
00
11
10
00
11
11
11
00
10
00
10
11
11
01
00
10
10
00
00
11
00
11
01
01
11
00
00
11
01
11
11
10
01
00
00
00
11
11
11
01
01
00
00
10
00
11
10
01
00
11
10
10
11
00
00
11
10
01
10
10
00
00
10
10
10
00
11
11
00
10
11
00
01
10
10
10
00
00
10
10
00
11
10
01
00
10
11
11
00
00
00
10
10
01
10
00
10
00
10
10
11
00
10
01
00
10
11
10
00
00
10
00
00
01
00
10
10
00
00
01
10
10
10
01
00
11
11
01
01
10
11
10
00
01
10
10
10
00
11
01
01
10
00
10
10
10
00
00
11
01
10
10
01
10
01
10
10
00
11
11
00
00
10
10
11
11
00
00
00
01
00
01
10
10
01
00
00
10
01
10
11
00
00
11
10
00
10
11
00
00
00
11
01
01
00
10
10
10
00
10
01
00
10
00
10
00
00
10
10
01
10
01
11
10
10
01
00
10
11
01
10
11
10
10
00
00
11
00
01
11
10
00
01
10
10
00
00
10
11
10
01
00
10
11
10
00
00
10
11
00
01
01
10
10
01
00
00
10
10
01
00
10
10
01
00
10
00
00
11
10
00
00
00
10
00
10
11
11
10
00
10
10
00
10
11
00
10
01
01
10
01
10
10
11
00
00
10
00
01
10
10
10
01
00
00
00
11
10
00
11
01
00
00
11
00
01
10
10
11
10
10
10
10
00
10
10
00
00
00
00
11
10
11
10
11
01
11
00
00
00
00
11
11
00
00
11
10
00
00
01
10
00
00
11
11
10
11
11
00
00
00
01
00
10
10
00
10
10
11
01
00
00
11
00
10
01
10
11
10
10
11
00
10
10
11
10
00
00
00
11
10
00
10
11
01
00
11
11
10
11
00
00
10
11
11
01
10
00
00
00
11
00
11
10
00
10
01
01
10
00
00
00
10
01
00
11
10
01
01
11
11
00
10
11
10
01
01
10
10
01
10
10
11
00
00
00
00
10
10
00
10
11
00
11
00
00
01
00
10
10
10
00
11
10
01
00
10
10
00
10
01
00
00
10
11
00
00
11
10
00
11
10
10
01
00
10
10
11
01
11
11
00
01
01
11
01
10
11
00
00
10
11
00
01
10
10
11
10
10
00
00
01
10
10
01
10
11
00
11
10
01
00
10
01
01
00
10
10
10
11
00
01
01
11
01
11
10
10
10
01
11
00
10
10
00
10
00
01
10
01
01
10
00
11
00
11
10
00
10
10
00
00
00
11
01
11
01
10
11
11
10
01
00
10
11
01
00
10
10
10
00
10
10
00
11
10
00
10
00
00
00
10
10
10
00
10
11
01
10
00
11
10
10
00
00
10
01
01
10
00
00
00
10
01
10
10
00
11
00
00
00
01
10
00
10
10
00
00
01
00
10
10
00
00
10
10
10
00
10
00
11
10
01
00
00
00
11
00
00
01
10
11
00
11
11
00
10
00
11
00
10
00
00
11
10
10
10
01
10
10
01
00
10
10
01
00
00
10
10
11
00
11
01
10
10
10
10
00
11
10
10
00
00
11
10
00
00
11
10
01
00
11
10
11
10
11
00
01
10
10
10
01
01
11
11
00
00
10
00
10
10
00
00
10
01
10
10
10
01
10
01
10
00
00
10
00
00
10
10
11
01
11
01
10
11
00
00
10
01
10
00
01
10
00
00
11
01
11
01
10
10
10
01
00
10
10
01
00
10
00
10
00
11
01
01
01
10
11
10
10
01
00
10
11
00
01
01
10
11
00
11
10
00
01
01
00
00
11
11
11
10
01
10
01
11
11
01
00
10
11
00
00
10
11
00
11
10
01
10
00
00
10
00
01
00
10
11
01
11
11
00
01
11
00
00
10
00
10
00
00
11
10
00
10
01
10
11
11
01
00
11
00
00
01
01
11
11
10
00
00
01
10
10
01
00
11
00
10
10
10
00
00
10
01
10
01
00
11
01
10
11
11
10
00
00
10
00
00
10
10
01
00
00
10
10
00
10
11
00
10
01
10
11
01
01
00
11
00
10
10
00
10
11
01
00
00
11
11
11
00
00
10
10
00
10
10
00
00
00
01
10
01
00
10
00
11
00
00
00
00
00
00
00
00
11
01
00
10
01
10
10
00
01
10
10
00
00
10
10
00
11
01
10
10
00
00
10
00
00
10
10
00
00
01
01
00
00
11
01
10
00
10
10
10
10
00
00
11
11
10
10
10
01
01
10
00
01
00
10
01
11
11
10
01
00
11
00
00
00
10
11
10
01
11
10
10
10
10
00
00
00
00
11
00
10
10
10
10
00
00
11
00
00
10
10
01
00
10
10
00
10
11
10
10
00
00
00
00
00
10
01
00
10
00
01
00
10
00
00
00
00
00
10
01
00
00
10
11
00
01
10
00
00
11
10
11
00
00
00
00
10
10
10
00
00
00
01
11
10
11
01
10
11
00
10
00
01
10
00
00
10
00
11
11
00
00
11
00
11
10
01
00
10
11
10
00
00
00
10
01
00
11
11
10
00
00
10
00
00
10
00
00
00
11
01
11
10
10
00
10
11
01
01
10
11
00
10
00
10
00
01
01
11
11
01
11
10
00
11
00
01
00
10
11
00
10
10
10
00
10
01
10
00
00
11
01
00
01
10
10
10
00
01
00
10
10
00
00
10
11
11
10
00
01
10
11
00
00
00
11
10
00
10
10
01
11
10
11
00
00
11
00
11
01
00
10
01
01
01
00
10
10
10
00
01
01
10
11
11
00
00
11
00
00
11
10
11
10
10
00
10
10
10
00
10
00
11
10
10
01
00
10
01
00
10
00
11
10
11
11
01
01
10
10
00
10
11
01
00
11
00
01
10
10
00
10
00
00
11
01
00
00
10
10
10
11
00
01
10
10
10
11
00
00
00
10
11
10
01
01
01
11
10
00
10
01
00
00
10
00
01
10
10
11
00
01
00
01
10
11
11
00
00
10
00
00
00
11
00
00
10
01
00
00
11
10
01
00
10
00
10
01
00
10
11
11
01
01
10
10
01
00
01
00
10
01
00
01
00
10
01
11
00
00
10
11
10
00
00
10
11
00
01
10
11
10
00
00
11
00
00
01
10
10
01
00
11
11
00
00
01
10
00
10
10
00
00
00
00
01
10
10
00
10
10
10
00
01
00
10
10
00
10
10
11
00
01
11
10
00
11
10
00
00
01
10
00
10
10
00
10
10
11
10
10
01
10
00
01
01
01
00
00
00
01
11
10
11
00
10
00
10
11
00
00
11
01
01
01
01
10
10
00
11
10
00
01
10
10
00
00
00
00
01
10
10
10
10
00
00
10
01
00
00
00
10
00
00
00
11
00
10
00
11
01
01
10
10
11
00
01
11
10
01
10
00
10
00
01
00
10
11
10
10
01
10
01
01
10
11
10
00
00
10
11
01
01
10
10
10
01
10
11
01
10
10
00
00
11
10
00
11
10
10
01
10
01
00
10
00
01
00
11
00
01
10
10
10
00
10
10
11
10
11
00
00
00
00
00
11
11
00
10
01
00
01
00
11
10
10
00
00
10
10
00
00
01
01
10
11
00
00
10
00
10
01
01
11
11
01
10
00
00
01
00
10
10
00
00
01
10
00
10
11
10
01
10
10
00
01
10
00
01
00
11
00
00
00
10
00
01
10
10
01
00
01
10
11
00
10
00
01
10
10
00
11
01
10
11
00
01
10
10
01
11
00
00
10
11
10
10
10
00
00
10
00
10
10
01
01
00
11
01
01
00
00
01
00
00
11
10
00
10
00
11
10
01
10
00
00
01
10
10
10
11
10
11
11
00
10
10
01
00
10
10
00
10
10
00
01
01
00
01
11
01
01
11
10
10
00
00
10
11
00
00
10
10
00
00
11
11
10
00
00
11
01
00
10
10
01
00
11
10
00
01
00
00
10
10
00
00
11
00
10
10
10
11
01
10
00
11
01
00
10
10
00
01
00
10
00
01
10
00
10
11
10
00
00
00
10
00
01
10
00
00
00
11
10
10
01
00
10
10
00
00
11
00
00
01
10
01
10
01
10
01
00
11
10
10
10
10
11
00
10
01
01
00
00
01
10
11
01
11
10
10
00
01
00
10
00
11
11
01
01
00
10
00
10
10
00
00
01
00
10
10
00
00
10
00
00
00
10
01
00
11
01
10
10
00
00
10
11
01
10
00
00
10
00
00
00
10
10
01
10
10
11
11
10
01
01
10
10
01
00
01
01
10
10
00
10
01
10
11
01
01
10
00
01
00
00
10
00
00
10
10
10
00
11
10
11
00
00
00
11
11
11
11
00
10
10
10
00
00
11
00
10
01
11
00
01
10
01
11
01
00
11
00
00
00
11
10
10
01
01
10
10
01
10
10
11
00
00
00
01
10
00
00
10
10
00
00
10
00
00
00
00
10
00
11
00
00
11
10
10
10
10
01
00
11
00
11
11
11
10
10
00
00
00
00
11
00
00
10
01
00
01
10
10
10
10
10
00
00
10
00
00
10
11
00
00
11
00
00
10
01
00
00
10
00
00
00
00
10
00
10
10
00
10
11
00
01
11
10
01
01
10
00
11
10
10
00
00
10
10
10
00
11
10
00
10
01
11
00
10
11
00
00
01
00
10
00
00
11
00
11
10
00
00
11
10
00
10
11
00
01
10
11
11
10
10
00
10
10
01
01
10
10
00
10
10
00
01
01
11
01
10
10
10
10
00
00
10
10
00
01
11
00
00
00
01
00
10
01
10
00
00
11
00
00
00
10
00
11
01
10
00
00
10
10
11
10
10
01
00
00
10
10
01
01
10
00
10
10
00
00
00
10
11
00
00
11
10
01
00
10
10
10
00
01
00
00
11
01
10
11
10
10
10
00
11
11
11
00
00
11
01
10
00
01
00
00
10
10
10
00
00
01
11
11
10
11
01
00
11
00
00
10
01
00
10
10
00
11
10
00
11
10
10
01
00
00
11
01
00
01
10
11
10
11
00
10
10
00
11
10
10
00
10
00
10
10
10
01
00
10
00
10
11
10
01
00
00
10
10
01
11
01
00
00
10
10
10
01
01
11
00
10
00
00
00
01
11
00
11
11
10
01
00
00
01
01
00
10
10
00
10
10
01
10
00
00
10
01
11
01
10
00
10
00
10
00
00
10
10
11
10
00
11
10
10
01
11
11
00
01
01
00
00
00
10
01
00
00
10
01
10
10
00
10
10
11
10
00
11
10
00
00
10
10
00
10
00
11
00
00
11
10
10
00
10
01
11
10
00
01
01
01
00
00
10
11
10
10
01
01
10
10
01
11
11
01
10
00
00
10
01
00
00
10
01
00
10
10
01
10
00
10
10
00
00
00
11
00
00
00
01
11
10
10
10
10
00
10
11
00
00
00
10
11
01
10
11
10
11
10
00
01
00
11
01
01
10
10
10
01
01
00
01
11
10
01
00
10
11
00
00
10
00
00
00
00
10
10
01
00
10
01
00
10
01
10
11
10
00
01
10
11
01
01
10
11
00
10
00
00
11
11
01
01
10
11
00
11
00
00
11
10
00
00
00
11
10
10
00
00
10
00
10
10
10
01
00
10
11
00
11
00
00
10
10
00
10
01
00
00
00
00
10
00
00
10
00
10
10
00
00
11
10
10
01
10
11
01
00
00
10
10
00
01
10
11
01
10
00
10
10
10
11
00
10
00
00
10
10
00
10
00
01
11
00
11
00
11
00
10
10
10
00
00
10
10
01
00
10
00
10
01
10
10
10
00
10
10
01
11
11
00
00
01
00
10
01
00
10
01
00
00
10
11
01
00
11
10
10
10
10
00
00
00
11
11
00
10
10
00
10
00
01
10
10
11
10
00
00
11
10
11
00
00
10
00
10
00
00
01
00
01
00
00
00
00
10
11
10
10
10
01
00
10
10
00
00
11
01
11
10
00
10
11
00
00
10
11
00
01
00
10
10
00
10
00
10
11
00
11
00
10
11
11
01
10
10
00
01
10
00
01
10
11
00
11
01
11
10
00
10
00
00
10
11
01
00
10
00
10
00
00
10
11
00
10
00
00
00
10
00
00
00
00
00
01
10
01
01
01
01
11
11
10
00
00
00
01
10
10
10
10
00
01
00
10
10
00
11
10
00
00
10
00
10
10
00
00
01
11
00
00
10
00
10
10
10
01
10
11
00
11
00
10
00
00
10
10
00
00
01
10
01
00
10
10
10
00
10
10
00
10
00
01
10
00
10
10
11
00
10
00
01
10
01
00
11
00
10
11
10
10
00
01
01
01
01
10
10
00
10
11
01
10
10
10
00
11
10
10
00
10
10
01
11
10
00
10
11
10
00
01
00
10
11
00
01
10
01
10
01
01
01
00
10
11
01
10
00
10
11
00
01
00
10
00
01
11
10
11
00
10
10
10
01
01
11
10
10
00
10
10
10
00
00
01
10
10
00
00
10
10
00
01
11
11
10
10
00
10
00
01
11
10
00
10
01
00
11
01
00
11
00
00
01
00
10
10
11
00
00
10
11
00
00
10
11
00
10
11
01
10
10
00
10
11
10
01
00
11
10
00
11
10
01
10
10
01
00
10
00
10
10
10
01
10
10
00
00
01
10
01
00
10
11
10
10
10
00
00
11
00
10
01
01
11
00
01
00
10
01
10
00
00
11
11
11
10
10
00
00
00
00
00
10
01
11
10
00
10
10
10
11
00
01
00
00
00
00
00
10
10
10
11
11
01
00
11
10
01
00
10
10
10
00
01
01
11
11
00
10
01
00
10
00
01
00
11
10
00
00
11
00
11
11
00
11
01
01
00
01
00
00
00
10
11
00
10
11
11
10
00
00
10
00
01
11
00
10
10
11
00
01
10
00
10
11
00
01
11
00
01
00
10
00
10
10
00
00
11
10
00
10
00
00
10
11
00
00
11
10
10
00
00
11
00
01
11
10
00
10
10
00
00
00
11
00
10
10
11
10
01
10
00
01
00
10
01
10
11
11
10
10
10
10
00
10
01
10
10
00
00
00
11
01
10
00
01
00
01
10
01
00
10
00
10
00
00
00
10
10
10
00
00
01
00
00
10
01
01
10
10
10
11
00
10
10
00
11
10
00
11
00
11
00
00
11
00
00
00
10
10
10
10
10
00
00
11
10
10
10
10
01
01
11
00
10
10
00
01
00
00
11
11
11
00
11
00
11
10
11
00
00
00
10
10
00
10
10
01
00
00
00
11
00
00
01
10
11
10
00
00
10
10
00
10
01
01
11
11
10
00
01
01
10
11
00
01
00
00
11
10
00
01
00
00
11
00
01
11
01
00
00
10
10
10
00
10
11
00
00
11
10
00
00
01
11
00
01
11
00
00
00
00
00
01
11
10
00
00
00
10
10
10
01
00
01
00
00
10
11
00
01
11
10
11
11
10
10
00
00
10
00
00
10
10
10
11
10
10
10
10
01
10
00
00
10
11
10
00
00
00
11
10
01
11
01
10
00
00
01
10
10
00
10
01
10
10
00
10
01
01
01
10
01
00
10
00
10
10
10
00
00
00
10
00
01
10
01
00
10
10
10
01
00
11
10
10
10
10
11
00
01
11
10
00
00
10
11
01
01
11
00
01
00
00
11
10
00
00
11
11
11
00
01
01
11
00
00
01
10
10
00
00
10
10
00
01
01
10
11
10
11
00
11
10
01
01
11
10
10
00
01
00
11
01
10
00
00
01
00
10
11
10
00
10
00
00
00
00
01
10
10
10
00
00
11
00
11
10
10
00
00
10
11
00
00
10
00
00
00
01
10
10
10
10
01
00
00
10
10
11
00
00
00
10
10
00
10
00
00
10
10
10
00
00
00
10
00
00
10
10
11
11
10
00
11
10
00
11
11
00
01
01
10
10
10
10
00
00
10
10
10
00
10
10
11
01
10
11
00
10
00
10
00
01
10
10
10
00
10
10
11
00
10
11
00
11
10
10
01
00
11
00
10
10
10
11
10
10
01
01
10
01
01
11
00
00
01
00
11
10
11
00
10
10
00
01
11
11
00
01
00
01
10
10
11
10
11
00
00
01
11
01
00
11
10
00
01
10
11
00
11
11
00
10
01
11
10
00
00
00
00
01
00
00
00
10
10
11
10
00
11
00
01
10
11
11
10
11
00
10
10
00
00
00
10
11
00
11
00
01
11
10
00
10
00
01
00
10
00
10
10
01
10
10
10
00
01
11
10
00
10
00
11
00
00
10
00
00
10
00
10
10
00
11
10
00
10
00
01
11
00
00
10
00
00
00
10
10
00
10
00
00
10
11
10
00
11
10
10
10
00
00
10
11
10
01
11
10
00
10
00
00
10
10
01
10
10
00
10
11
00
01
10
00
01
10
10
01
00
10
00
11
00
11
00
11
00
10
10
10
00
01
00
10
10
10
01
11
11
00
11
11
00
10
00
01
11
01
10
00
11
10
00
00
01
10
10
10
00
10
11
10
10
11
01
00
10
11
10
01
00
01
01
11
11
10
00
00
10
10
11
00
00
11
00
00
11
10
10
00
10
10
10
00
01
10
01
10
00
10
10
00
01
01
10
11
00
11
11
01
00
10
00
01
10
10
00
00
00
11
10
10
11
10
00
10
10
00
10
10
01
00
10
01
10
00
10
10
10
10
10
10
00
00
11
10
11
10
00
01
10
01
00
10
11
00
00
10
11
01
01
01
01
10
00
01
10
11
00
00
11
10
00
01
01
10
01
00
11
11
10
10
01
01
10
10
10
00
00
10
10
01
00
01
00
11
10
01
10
00
00
00
00
10
01
00
00
00
00
00
00
10
01
10
00
10
10
10
01
11
11
11
10
10
00
00
11
00
00
11
00
11
10
00
01
11
00
11
00
10
00
00
11
00
01
00
01
00
01
01
11
00
00
10
10
10
01
10
01
00
11
00
10
00
00
00
10
10
10
01
10
10
11
01
00
11
11
00
11
00
00
10
00
00
11
10
11
00
00
10
01
01
00
10
11
10
00
00
10
01
00
10
10
11
10
10
10
00
00
10
10
11
11
11
11
00
00
11
00
00
10
11
01
00
10
00
00
00
11
10
00
10
00
01
11
11
10
11
00
00
01
10
10
10
00
10
01
10
01
10
10
00
01
10
10
00
01
11
10
10
11
11
00
10
10
00
00
11
11
11
00
01
00
11
10
00
00
10
10
11
10
01
00
10
10
11
11
10
10
00
01
10
01
10
10
00
01
11
00
00
10
10
01
00
00
00
11
10
01
11
11
00
00
11
00
10
10
10
11
01
00
00
11
10
01
01
00
00
11
00
00
11
00
00
00
11
11
00
00
10
00
01
00
00
10
00
10
10
00
11
10
01
01
00
11
10
00
01
10
00
11
10
00
00
10
10
10
10
00
10
00
00
11
01
10
10
10
10
10
01
00
11
10
00
00
00
00
00
10
10
00
10
10
10
10
00
10
10
10
10
00
10
10
11
00
10
01
10
00
11
01
00
01
01
00
10
11
01
10
00
00
11
00
10
10
01
10
00
01
10
11
00
11
01
10
10
01
01
10
00
01
10
00
01
10
10
00
00
10
10
01
10
01
00
11
01
10
10
01
01
10
10
00
00
11
10
10
11
00
10
10
10
01
01
01
11
01
11
10
01
10
00
10
11
00
01
11
01
10
00
00
10
11
00
10
10
01
10
11
10
10
01
01
00
10
00
00
10
10
10
10
00
10
10
01
00
10
10
00
10
00
10
10
11
11
11
11
01
00
00
10
10
00
10
10
11
00
01
01
10
00
00
11
00
10
11
11
01
01
10
00
00
00
00
01
01
10
10
10
00
10
10
00
10
00
10
10
00
01
11
01
00
10
00
10
01
00
01
10
10
00
01
10
11
10
01
00
00
10
11
00
00
10
00
01
10
10
10
01
10
10
11
10
00
11
00
00
00
10
10
11
00
01
01
11
10
11
10
00
01
10
00
00
10
11
00
00
00
01
10
10
00
11
10
00
01
00
01
10
10
00
00
10
10
10
01
11
10
10
10
11
11
00
10
01
00
10
10
00
00
00
00
10
01
00
00
00
10
01
10
00
10
10
11
00
10
00
10
10
10
10
00
00
10
11
01
01
11
10
10
00
00
11
00
00
10
11
00
10
10
00
01
11
01
10
10
10
00
00
11
01
00
11
10
00
10
10
01
10
11
01
10
01
00
10
10
00
01
10
00
00
01
00
01
10
01
00
00
11
10
00
10
01
00
00
00
10
10
01
00
00
11
00
00
11
10
10
00
01
10
11
10
01
10
11
00
10
10
00
00
10
10
00
00
11
01
00
00
10
10
00
01
11
11
10
01
01
11
10
00
11
00
10
10
10
01
10
11
01
10
11
00
01
10
01
10
11
00
00
01
10
00
11
10
01
11
00
11
00
01
00
11
10
10
10
00
01
10
10
10
00
11
00
00
00
10
11
01
00
11
01
00
01
11
10
10
00
00
10
11
00
11
00
10
11
10
11
00
01
10
10
10
00
10
11
00
00
01
00
11
10
00
10
10
10
00
10
11
10
01
10
10
00
11
11
10
10
01
10
10
01
01
11
10
00
00
11
11
01
01
10
10
01
01
10
10
10
01
00
10
10
00
00
10
00
10
11
00
11
00
01
10
10
11
00
01
11
01
11
00
00
11
11
01
00
01
11
00
00
10
01
10
10
00
01
01
11
10
10
10
11
00
10
01
01
11
10
10
01
01
01
00
10
10
00
10
01
00
10
10
11
01
00
10
11
10
10
00
01
00
10
10
01
10
11
00
10
00
00
11
10
11
00
10
10
00
00
11
11
01
10
11
10
10
10
00
00
00
00
10
01
10
00
10
01
00
00
10
10
11
10
00
00
10
10
00
10
01
10
01
00
11
10
11
00
10
11
00
00
10
10
01
01
00
00
00
10
10
00
10
10
00
00
00
10
11
00
11
01
00
01
01
10
10
01
01
11
10
01
10
11
01
00
01
10
10
01
00
10
10
00
00
00
01
10
00
00
00
11
00
00
11
01
10
10
01
01
10
10
00
10
00
00
00
11
11
01
10
00
10
00
11
01
10
00
01
00
10
10
00
11
11
00
10
10
00
10
11
10
00
00
10
10
00
11
11
00
00
00
11
00
10
10
00
11
10
00
00
10
10
11
01
00
00
00
01
00
01
11
10
00
01
10
10
11
00
11
10
11
00
00
10
00
10
10
11
01
01
01
10
10
10
01
00
01
10
10
10
00
00
10
10
00
11
10
01
01
11
10
11
10
00
10
00
00
10
10
00
11
10
11
00
00
10
10
11
01
10
10
00
00
00
00
10
11
00
10
01
11
10
10
00
00
00
10
01
10
10
01
00
00
10
00
01
11
01
01
11
10
10
11
10
01
01
10
10
11
01
01
10
11
00
10
01
10
10
00
00
10
11
10
01
11
10
11
10
10
10
00
00
01
10
10
10
10
00
00
10
00
10
00
01
10
10
00
00
01
00
10
00
11
11
11
10
00
11
11
10
11
10
00
10
00
00
00
10
10
00
10
10
11
10
01
01
10
10
10
00
00
10
11
10
00
00
00
00
10
00
00
10
00
10
10
10
00
10
11
10
01
00
00
10
11
01
11
10
00
10
10
11
00
00
10
10
00
10
11
11
00
00
01
01
10
11
00
11
00
10
11
00
00
10
11
01
00
11
11
00
01
10
10
11
10
10
00
01
00
01
11
10
10
11
01
01
00
10
11
00
01
00
10
11
00
00
01
00
10
00
10
00
00
10
00
01
10
10
11
10
10
10
00
10
10
01
01
01
10
01
00
10
00
11
10
00
01
00
10
01
00
01
10
10
00
10
01
00
10
10
01
11
00
00
00
01
10
10
11
10
01
11
10
00
00
10
00
11
10
01
00
00
11
11
11
00
01
00
10
10
00
11
10
00
00
10
01
01
10
10
11
00
00
00
00
01
10
10
10
10
00
11
11
01
10
11
00
00
01
10
01
00
11
11
10
00
00
01
01
00
11
00
11
10
10
01
01
10
00
00
10
00
00
10
10
01
01
11
10
01
00
00
10
10
11
01
00
10
10
00
00
10
00
10
00
00
01
00
10
10
01
01
11
00
10
00
01
00
11
10
00
00
10
01
11
11
00
00
11
00
00
10
10
10
10
10
00
10
10
00
01
00
10
10
10
11
01
01
11
11
10
11
10
00
01
00
10
10
10
00
01
00
10
00
01
01
00
00
10
00
00
01
00
01
00
00
00
01
10
10
00
01
00
10
11
10
11
00
00
10
10
00
00
11
10
10
11
10
10
00
00
00
00
00
10
01
11
10
01
11
11
00
10
11
00
11
00
10
11
00
00
01
01
10
01
10
10
00
01
00
01
10
10
00
11
00
11
11
01
10
10
10
00
10
11
00
01
10
11
11
01
10
10
10
01
01
11
10
11
11
00
00
00
10
10
10
00
00
10
01
00
01
10
11
01
00
11
10
00
00
01
10
00
00
11
00
00
00
00
00
00
11
11
11
00
01
11
11
00
10
01
00
11
10
00
01
11
01
11
10
00
00
10
10
00
00
00
00
00
10
00
01
00
10
11
01
10
10
10
01
10
00
01
01
10
00
10
10
10
01
01
10
11
11
00
00
00
00
10
00
10
10
10
00
11
00
01
00
00
00
00
10
11
10
00
00
10
10
11
00
10
11
00
10
00
00
00
00
11
00
00
01
10
10
10
00
00
00
01
00
10
10
01
00
00
11
10
10
00
10
10
00
00
11
00
01
01
11
10
00
11
11
10
00
00
10
11
10
00
10
00
01
11
10
10
10
10
01
00
10
10
00
11
10
10
10
00
00
00
10
00
10
11
11
10
00
10
11
01
01
10
01
10
10
10
00
01
10
00
00
01
10
00
10
00
00
10
11
10
00
00
10
00
01
11
01
01
10
00
10
00
10
00
10
11
00
11
10
01
00
00
01
10
11
00
11
11
00
01
11
00
00
00
10
10
00
00
00
01
10
11
10
01
10
10
10
00
10
01
01
10
10
11
00
10
11
00
10
00
00
10
01
01
10
00
01
10
11
10
01
10
01
00
11
10
01
10
10
00
00
11
10
00
10
10
01
11
11
10
01
00
10
11
10
01
11
11
00
01
01
10
01
00
10
11
10
00
00
00
11
00
00
10
11
00
01
01
10
00
00
00
01
00
10
10
00
00
10
00
10
10
10
01
00
00
00
10
11
11
00
00
01
10
10
00
11
10
01
01
10
00
10
01
01
10
00
01
11
11
11
00
00
11
10
11
10
01
00
00
00
10
11
10
11
00
00
11
00
00
10
10
10
00
10
01
01
10
10
00
01
00
01
10
10
00
00
10
00
10
10
01
01
11
00
00
11
00
00
01
10
11
10
11
01
01
10
11
00
00
10
10
00
00
01
10
01
10
01
01
10
11
10
01
00
10
10
10
00
00
01
10
01
01
11
10
01
00
10
00
00
01
10
10
00
10
10
10
00
00
00
01
00
01
10
10
10
11
00
10
11
01
00
10
00
00
10
11
01
11
00
01
10
10
00
10
00
11
00
00
11
11
10
00
11
01
10
01
10
00
10
10
00
00
00
10
10
00
00
01
10
01
00
11
10
11
00
10
00
10
10
00
00
00
01
10
01
10
10
00
10
01
01
01
01
11
10
00
00
10
11
11
00
01
00
10
01
10
10
10
10
01
01
10
01
00
10
10
01
10
10
10
00
10
00
10
10
00
00
00
00
01
00
01
01
01
10
00
00
00
00
10
10
10
01
00
10
01
00
10
11
00
11
10
01
00
00
10
10
00
11
00
00
01
10
01
10
10
00
11
10
00
00
10
11
10
01
00
00
00
11
00
11
10
00
00
11
11
01
01
10
00
00
11
00
00
00
11
10
00
10
11
01
01
10
10
01
00
00
10
00
00
00
00
10
11
10
00
11
01
00
00
10
11
01
00
01
11
10
01
10
10
00
10
11
00
00
00
11
11
00
01
11
10
10
01
10
00
11
10
10
10
00
01
10
10
00
00
10
10
00
01
01
11
00
00
00
00
11
10
10
00
11
11
01
10
11
01
00
00
01
10
10
00
00
10
00
10
10
10
11
01
01
10
01
01
00
10
00
11
11
01
10
00
00
00
11
00
01
11
00
00
01
01
10
11
01
11
01
11
11
01
01
10
10
00
00
11
01
10
10
01
10
10
00
00
10
10
00
00
01
01
10
00
10
01
11
11
10
00
00
10
11
01
00
10
10
00
11
10
00
10
11
10
11
00
10
10
10
11
00
00
10
10
00
10
10
00
10
11
00
00
01
00
00
00
01
10
11
11
01
00
11
10
10
10
00
10
01
00
10
11
01
11
11
10
00
10
00
00
01
10
10
00
10
11
00
01
11
10
01
10
10
10
11
00
10
00
10
00
00
11
00
00
01
01
11
00
10
01
00
01
01
11
10
00
10
00
00
01
01
10
11
00
00
00
11
11
00
11
11
01
01
11
01
11
00
00
10
10
11
01
00
11
11
00
10
10
01
00
00
11
10
10
10
11
01
10
01
00
10
00
00
00
11
00
00
01
00
10
10
10
01
00
10
10
00
11
10
00
00
10
10
10
10
01
11
01
00
10
01
00
00
10
00
00
01
10
11
10
00
00
10
00
00
00
11
00
01
00
11
11
00
01
10
11
11
01
00
10
00
01
10
00
10
10
10
10
00
00
10
11
10
10
11
00
11
10
01
01
00
01
10
11
00
10
10
10
00
00
11
00
01
10
10
00
00
00
10
11
01
00
10
00
00
11
10
10
01
00
00
10
01
10
11
10
00
01
10
10
00
01
10
11
11
00
11
01
00
00
10
10
01
00
11
00
00
11
01
00
10
10
11
00
01
11
00
01
00
11
00
01
10
00
10
10
10
01
11
01
10
10
01
11
01
10
10
00
01
00
00
00
10
01
11
10
10
10
11
01
11
10
00
01
11
01
10
10
01
00
10
11
10
00
00
10
01
01
11
10
10
01
00
00
00
00
00
10
10
10
10
10
01
10
11
01
00
11
11
10
11
00
00
00
00
10
10
01
00
10
10
10
00
01
11
00
00
10
10
01
11
11
00
10
10
00
00
10
00
00
10
11
00
01
00
10
11
00
10
10
00
01
10
00
01
01
10
00
10
01
00
11
10
01
00
01
10
01
01
10
10
10
01
00
00
01
00
01
10
11
00
00
10
10
01
00
01
10
11
01
11
00
11
11
00
01
10
10
10
10
00
10
01
00
10
00
00
10
00
11
10
00
00
00
00
00
00
11
00
00
01
10
00
11
00
00
11
11
00
00
11
00
00
00
10
10
11
00
01
11
01
00
11
00
10
01
00
10
10
11
11
10
01
00
00
11
01
00
11
00
00
11
10
10
10
10
00
00
10
00
11
11
01
11
00
10
00
10
11
00
00
10
10
00
01
01
11
01
00
00
11
10
00
01
00
10
00
01
11
00
10
11
00
10
11
10
10
01
00
10
00
01
00
11
00
10
01
11
11
00
00
10
10
10
00
00
01
10
01
00
10
11
11
10
11
00
00
11
10
01
01
10
00
10
11
10
10
01
10
10
00
01
10
00
00
10
10
10
00
00
00
11
11
10
00
00
10
00
00
10
11
10
00
00
00
00
00
10
00
10
11
00
00
10
10
00
10
10
10
01
10
11
10
11
10
10
11
10
00
10
10
01
00
11
10
11
01
11
10
01
11
10
10
00
00
00
01
10
10
01
11
10
00
01
00
01
10
11
00
10
01
00
11
11
11
01
01
10
00
01
10
01
00
10
10
10
00
10
10
01
00
10
00
10
00
00
01
10
10
10
00
11
11
10
00
10
11
10
00
10
10
01
11
10
00
00
10
10
11
11
01
01
11
10
01
01
10
00
00
10
11
00
01
11
00
11
10
10
10
01
00
11
00
00
01
00
00
10
00
00
10
10
00
11
01
01
10
00
11
10
10
00
00
10
00
00
11
00
10
01
00
10
00
00
01
00
00
11
10
10
10
00
01
01
00
00
10
00
10
11
10
00
01
01
00
11
10
01
10
00
01
00
00
10
10
10
11
00
01
00
00
11
00
01
00
00
10
00
10
00
10
10
00
00
00
00
00
00
10
11
10
00
10
10
00
10
11
10
10
10
00
10
10
00
10
00
01
01
10
10
11
00
00
10
11
01
01
00
00
10
10
10
01
01
11
10
10
11
10
11
01
10
00
00
10
00
10
10
11
00
00
10
01
00
10
10
10
10
00
10
10
01
01
01
10
10
00
11
00
01
10
10
00
01
00
00
00
11
00
00
11
00
01
01
11
11
01
00
11
11
01
00
10
10
01
10
00
01
10
11
01
01
01
11
00
00
10
10
01
01
11
10
00
10
10
00
00
00
00
10
00
01
10
00
10
10
01
00
00
10
00
10
11
01
00
00
10
10
10
11
10
00
10
10
11
00
10
00
00
00
11
11
01
00
01
10
11
10
10
10
00
10
11
00
00
10
00
01
10
10
00
00
10
11
11
00
01
11
10
11
10
11
01
00
11
00
00
00
10
10
01
00
10
01
00
11
01
01
11
01
00
00
10
10
00
10
10
10
00
00
00
00
10
10
11
10
00
11
00
00
11
00
00
00
10
11
11
01
00
00
10
10
01
00
11
10
01
01
11
10
00
01
00
10
00
00
10
10
00
01
00
10
10
10
00
11
00
10
00
10
01
01
00
11
10
00
01
10
10
00
00
10
11
11
01
01
00
01
00
11
00
10
10
11
10
00
10
00
00
10
10
01
11
10
00
10
11
00
11
00
10
11
00
00
01
11
10
01
00
00
00
11
01
10
10
00
00
00
00
10
01
00
00
01
00
11
11
01
00
00
10
10
11
01
11
00
10
00
01
00
10
11
10
01
00
10
00
00
01
00
11
11
00
11
00
11
00
11
11
00
01
00
10
11
10
11
11
00
01
00
00
10
10
00
00
11
00
01
11
10
11
00
11
10
10
00
00
10
00
01
11
00
00
10
10
00
11
11
01
00
10
11
00
10
00
00
11
00
01
00
11
10
01
00
10
10
00
00
11
00
01
01
10
10
11
11
10
10
00
10
10
01
10
10
00
00
10
01
00
01
10
00
01
01
00
11
00
00
10
10
00
10
11
00
11
10
11
11
00
00
01
10
00
01
11
10
10
10
10
00
00
00
00
11
00
01
00
00
11
10
00
11
11
00
10
10
10
00
11
00
01
00
11
10
10
10
01
11
00
10
10
00
01
01
11
11
10
00
10
10
10
00
01
11
11
00
10
11
10
01
10
01
00
11
10
01
00
10
00
00
10
10
10
01
10
11
10
00
00
10
01
00
01
11
01
10
10
10
00
00
11
11
00
00
00
11
00
11
00
11
11
01
10
00
10
00
00
11
10
10
10
00
10
10
01
10
11
10
10
00
01
00
00
01
10
01
10
00
00
00
01
10
10
10
10
01
11
10
10
11
00
01
00
10
00
00
10
10
01
00
10
10
10
00
00
01
10
00
10
00
00
00
10
00
01
10
10
00
00
01
00
11
10
01
10
10
00
10
10
01
00
10
01
01
11
00
10
01
01
00
01
10
10
01
00
11
10
11
00
01
00
10
11
01
01
11
01
01
00
10
11
10
10
00
00
11
10
10
00
10
00
10
10
00
10
11
00
00
00
01
00
00
11
11
10
00
00
10
10
10
11
10
01
00
10
00
10
00
01
11
00
10
01
01
10
10
10
01
00
01
10
10
10
01
10
00
00
10
10
00
11
10
00
11
10
00
00
11
10
01
00
11
01
10
00
00
01
10
10
00
00
00
11
00
10
10
10
10
10
01
00
01
00
01
11
00
00
01
10
10
01
10
11
00
01
11
10
10
00
10
10
00
10
01
00
10
10
01
10
11
10
01
10
10
10
10
10
00
00
10
10
00
00
00
10
11
11
00
10
10
01
01
00
00
10
00
00
00
10
00
01
11
01
10
00
10
10
10
00
01
10
10
11
11
10
00
01
00
11
10
11
10
00
11
00
11
10
11
01
11
00
10
01
10
01
00
01
10
00
01
00
00
10
00
11
01
10
01
11
11
11
10
00
00
00
11
10
01
10
00
10
10
00
11
10
00
10
00
10
11
00
00
10
11
10
11
00
00
00
10
11
00
10
11
10
11
11
11
00
10
11
00
11
00
01
10
00
11
10
11
11
10
00
01
00
10
00
11
00
10
10
00
00
11
10
00
11
10
00
10
00
00
00
10
01
11
10
11
10
00
10
00
11
10
01
00
11
10
10
00
10
00
01
00
10
10
00
00
11
00
10
00
01
01
01
01
11
10
10
10
01
10
01
10
11
00
00
00
10
11
10
01
00
11
00
00
11
10
01
00
00
10
10
10
10
11
00
11
00
10
10
10
10
00
01
10
01
11
00
10
01
00
00
00
10
10
01
11
10
00
00
01
00
10
01
11
00
00
00
00
10
11
01
01
01
00
10
01
00
01
11
10
00
10
10
11
01
00
10
10
00
00
11
01
01
10
11
00
10
10
01
11
10
10
00
00
11
00
11
10
11
01
00
10
10
11
11
00
00
10
00
01
00
00
10
00
00
00
00
11
00
11
10
01
00
10
01
00
10
10
00
00
10
11
11
00
00
00
10
10
00
01
10
00
10
11
10
01
10
10
01
10
00
00
00
10
10
10
00
01
00
11
01
10
11
00
10
10
11
11
00
00
10
11
10
11
01
11
00
00
00
11
00
01
00
10
11
00
11
01
00
11
10
10
11
11
00
00
10
10
00
00
10
00
10
00
00
00
00
00
01
11
10
11
00
01
10
00
00
10
10
10
10
01
00
00
10
10
10
00
10
10
10
00
10
10
10
01
01
10
11
11
00
10
00
10
10
00
11
10
00
01
10
00
10
11
00
01
10
10
01
10
11
00
10
00
10
10
00
10
11
10
00
10
00
01
01
00
10
11
10
00
00
00
00
00
00
11
00
00
10
01
11
11
01
00
10
10
00
00
11
10
01
01
10
00
01
00
11
00
01
01
01
10
11
00
11
01
01
10
10
11
01
10
11
01
10
11
01
01
00
10
10
01
00
10
10
00
00
00
10
10
10
01
11
01
00
01
11
01
00
10
10
00
01
11
10
10
01
10
01
00
01
00
10
01
10
00
10
00
00
01
10
11
11
00
00
00
00
10
10
01
00
11
10
10
00
10
10
10
10
01
11
11
00
10
10
01
10
10
00
10
10
10
11
00
00
00
10
01
00
10
10
00
10
00
00
00
10
11
10
10
01
00
01
10
00
10
10
00
00
10
10
00
01
01
01
00
10
00
00
11
01
10
10
10
01
10
10
00
10
11
01
10
00
01
00
01
10
10
00
11
00
01
01
10
10
00
01
00
11
11
11
10
11
01
11
10
01
10
10
00
01
10
10
01
00
00
11
10
11
10
10
01
10
01
01
00
11
00
00
10
00
10
00
01
10
00
00
11
00
10
00
10
11
00
01
01
10
00
01
01
00
11
10
10
10
10
01
01
10
00
00
01
00
00
10
10
10
00
00
00
00
10
01
00
00
10
10
00
10
00
11
10
00
01
10
01
10
01
10
10
11
00
00
01
10
10
11
11
00
11
00
01
11
11
01
00
11
10
00
01
11
11
00
01
10
10
00
00
01
10
10
00
01
10
11
00
01
11
10
00
10
10
10
11
00
00
10
11
11
00
11
10
00
10
01
00
00
00
10
10
10
10
10
01
10
00
01
11
00
10
00
00
00
10
10
11
00
11
10
00
10
11
01
01
10
00
11
10
10
10
01
00
00
10
10
10
11
01
11
11
00
01
00
11
00
00
01
10
11
10
10
00
00
01
10
01
10
11
01
10
10
11
10
00
10
10
00
00
01
01
00
10
10
00
10
00
00
11
00
00
00
00
10
01
10
10
11
11
01
00
01
00
10
01
10
10
11
01
00
00
00
10
00
01
00
10
00
01
00
10
10
10
00
10
10
11
00
00
11
00
01
10
10
00
00
10
11
01
01
10
11
10
00
10
00
00
11
11
01
10
00
01
00
10
10
10
00
00
10
01
00
11
00
00
00
10
01
11
00
00
11
10
10
01
11
10
10
10
10
11
00
00
01
00
10
00
11
00
10
00
10
00
10
00
01
10
00
10
10
01
00
11
10
10
00
11
10
00
11
00
11
11
00
00
11
10
10
00
11
00
00
10
10
00
10
00
11
00
00
10
10
11
01
10
00
11
11
10
00
10
10
00
00
00
11
01
01
00
11
10
10
11
10
10
00
00
10
00
10
00
00
10
00
11
00
10
10
00
11
00
10
10
01
10
00
00
10
10
01
00
11
00
10
10
00
11
00
10
00
11
00
00
11
10
11
00
10
10
00
01
10
10
00
00
00
10
00
00
00
10
00
00
00
11
10
01
01
10
10
10
00
01
01
10
10
10
10
01
10
11
00
11
00
01
10
01
00
10
10
00
01
11
00
10
10
01
00
00
10
10
10
10
01
01
01
00
01
10
01
00
00
11
10
00
01
00
10
00
10
11
00
00
10
00
01
00
11
10
11
01
00
00
10
10
00
10
01
01
10
10
00
00
00
10
01
11
11
00
00
00
00
10
01
00
11
10
10
01
00
00
10
01
00
00
10
00
10
11
00
10
00
01
00
10
00
11
10
01
01
01
00
10
10
01
00
10
00
11
00
11
01
00
00
01
11
00
11
11
00
10
10
10
11
00
00
00
00
01
00
00
00
11
11
10
10
00
11
10
00
10
10
00
10
00
10
10
11
00
00
00
00
00
11
00
10
10
01
10
10
10
01
10
00
00
10
00
10
10
00
00
10
11
01
00
10
01
00
10
00
00
10
10
00
01
01
01
10
10
01
00
10
10
10
10
01
00
00
00
01
00
00
10
00
00
10
00
11
10
00
00
00
00
10
00
10
00
00
01
10
00
00
00
10
01
10
00
10
01
00
01
11
10
00
00
11
10
01
00
10
10
00
01
11
01
00
10
10
00
01
10
01
10
10
01
11
11
11
00
10
10
01
10
10
00
00
10
11
00
01
11
01
10
00
01
10
11
01
00
01
10
01
11
01
10
10
00
01
01
00
11
10
11
10
00
11
00
01
10
10
10
01
11
11
10
00
00
00
11
11
10
01
00
10
11
11
00
00
11
11
00
01
00
10
00
10
11
00
00
11
01
00
01
10
01
01
10
10
01
00
11
10
00
10
10
11
00
00
10
01
00
10
10
01
00
11
11
01
11
10
10
11
10
01
01
10
10
00
00
11
10
00
11
11
11
11
00
01
11
00
00
10
10
01
00
01
11
00
01
00
01
10
10
00
11
10
11
10
00
00
10
00
00
10
10
01
01
11
01
00
00
11
00
10
11
00
00
00
10
10
00
10
10
11
00
00
10
10
10
11
01
00
01
00
01
11
00
11
10
10
00
10
10
10
01
01
10
10
00
01
10
11
01
01
10
10
00
01
10
10
10
11
00
10
01
10
10
00
00
10
10
10
00
00
00
00
00
01
10
10
00
00
00
10
10
10
01
11
10
10
10
10
01
11
11
00
00
00
00
10
11
10
01
01
11
01
00
11
11
01
00
01
00
11
00
01
10
00
10
10
10
10
10
00
00
00
10
11
11
01
00
10
11
00
11
11
00
01
00
00
01
10
10
00
00
10
10
10
01
01
01
10
10
00
01
00
11
00
10
10
00
10
10
11
00
01
00
11
10
01
01
10
11
00
11
10
10
11
00
00
01
00
01
00
10
10
10
01
10
00
11
01
10
11
10
11
10
00
10
01
00
10
10
00
00
00
11
00
00
11
11
00
10
01
00
10
00
00
00
00
10
10
10
11
11
01
10
10
10
00
10
00
10
10
11
00
10
10
00
10
11
11
01
01
01
11
10
00
01
00
01
10
10
01
11
10
10
10
01
01
11
00
11
11
10
00
00
01
01
11
10
11
00
10
10
00
10
11
00
00
10
00
01
11
10
11
00
00
10
10
11
01
01
10
00
10
11
00
00
10
11
00
10
10
00
00
10
00
00
10
10
01
00
01
10
00
01
01
00
10
10
10
00
01
00
10
00
00
00
01
10
11
10
11
01
01
00
00
01
11
01
10
01
00
00
00
11
10
00
10
10
00
00
00
11
10
01
01
10
10
00
10
01
00
11
10
00
00
10
01
10
11
00
01
10
00
00
01
00
01
01
10
10
11
00
10
10
00
01
00
10
10
11
01
10
10
00
00
00
01
10
11
10
10
00
00
10
00
11
10
00
11
00
00
01
10
10
10
00
00
01
11
01
10
10
00
11
10
11
11
00
00
00
10
01
00
00
10
10
01
11
01
00
00
11
10
11
10
00
00
11
10
10
11
01
10
01
11
01
11
01
11
10
11
10
11
00
00
11
10
00
00
11
10
00
00
11
10
00
00
10
00
10
10
10
00
00
10
00
11
10
11
10
00
00
00
00
11
01
10
10
00
00
00
01
10
00
11
01
01
11
10
10
00
00
00
11
10
10
01
00
10
00
01
11
10
11
00
10
10
11
01
10
10
10
11
10
00
00
00
11
01
00
11
00
10
11
10
11
10
00
00
01
00
00
00
10
00
00
10
11
11
00
00
11
10
10
00
01
10
10
00
01
00
00
10
00
11
10
00
00
10
00
00
11
00
11
10
10
10
10
11
10
00
01
00
00
00
10
00
01
00
10
11
10
00
01
10
10
10
10
10
10
10
00
10
00
00
00
10
10
11
00
00
10
01
11
10
10
01
01
10
00
00
10
00
00
10
10
01
00
01
10
01
00
00
11
10
00
00
01
11
01
00
00
00
11
00
00
10
10
00
00
11
00
10
10
10
01
11
01
01
01
00
11
00
10
10
01
00
11
11
00
01
11
00
00
11
10
01
00
10
00
10
11
11
00
00
10
11
00
10
10
00
01
00
01
10
11
00
01
01
00
11
10
11
00
00
10
01
10
10
10
10
00
00
00
00
00
10
00
11
10
10
10
10
11
10
01
00
00
11
11
11
10
00
00
00
10
01
01
10
11
10
00
00
00
10
00
01
10
00
11
11
11
01
10
00
01
10
00
11
11
00
01
10
00
10
00
00
11
00
00
10
10
00
01
00
00
00
01
11
00
11
11
00
00
10
01
10
00
00
10
01
11
11
10
00
00
11
10
01
00
10
11
01
00
01
11
10
01
00
01
00
11
10
01
00
10
10
00
10
00
00
10
00
00
10
01
00
11
00
00
10
10
10
00
10
10
00
10
00
00
10
11
01
01
01
10
10
00
11
11
11
11
00
01
00
10
11
00
00
11
10
00
10
11
01
00
10
11
11
10
10
11
00
01
00
00
10
01
00
01
01
10
10
00
10
10
00
10
00
00
10
00
00
10
00
01
10
10
10
01
10
00
01
10
10
00
00
11
10
00
00
00
01
00
11
11
00
00
11
00
00
00
11
10
10
01
11
00
00
00
00
10
01
00
10
11
01
11
11
01
10
11
10
00
01
10
00
00
10
10
10
11
00
00
10
10
10
00
01
10
10
10
10
01
10
11
00
00
01
10
00
11
11
01
01
00
11
10
00
10
00
00
10
10
01
11
00
00
10
10
01
00
00
00
11
10
01
00
11
11
10
10
00
00
10
10
00
11
10
10
10
00
00
00
00
00
10
00
00
00
10
10
00
00
11
11
10
00
10
00
10
11
11
00
10
01
00
00
00
01
10
10
00
01
10
10
10
11
10
01
01
00
10
11
00
01
00
11
00
01
00
11
00
00
11
11
01
00
11
11
11
01
10
00
00
10
11
01
00
11
11
11
00
10
10
01
00
10
11
00
00
01
01
10
00
00
01
10
01
00
10
10
00
11
11
10
01
11
11
10
10
11
10
01
01
10
00
00
10
01
00
10
00
01
10
11
10
01
10
00
01
10
00
10
11
01
10
10
01
00
01
00
10
00
10
00
11
00
10
11
10
11
01
10
11
10
00
10
01
00
10
01
00
00
10
10
00
01
00
01
10
10
01
00
10
10
00
01
00
10
10
10
01
01
11
10
00
00
00
11
00
10
11
00
00
10
00
00
11
10
10
00
10
10
10
01
00
00
11
00
01
11
11
10
01
11
10
10
01
00
01
00
10
10
00
00
10
01
00
00
11
11
11
00
10
10
10
10
00
00
10
00
00
11
10
10
00
01
01
10
00
00
10
10
11
10
01
00
01
00
11
01
10
00
00
11
10
00
11
00
10
00
00
11
11
10
01
11
10
10
10
10
10
10
00
10
01
00
11
01
10
11
10
00
00
10
01
00
00
11
10
00
00
00
10
11
10
00
00
10
00
00
10
11
01
00
00
00
10
00
10
01
01
01
11
10
11
11
10
11
10
11
00
00
10
10
00
01
00
10
11
00
11
10
10
00
10
10
01
10
10
10
11
10
01
01
00
00
10
11
10
00
10
01
11
10
01
00
00
11
10
00
00
00
00
11
10
01
00
11
00
10
00
00
01
01
00
10
10
00
10
10
10
00
01
10
10
10
10
01
10
00
00
00
10
01
11
10
10
10
11
01
00
10
00
00
01
10
00
00
00
11
11
10
00
11
00
10
10
10
00
11
10
10
10
01
10
01
01
10
01
10
01
00
00
11
11
00
00
10
01
00
10
10
10
11
01
00
00
01
10
01
11
10
01
00
10
00
00
10
01
01
11
10
00
01
01
00
10
00
01
11
10
00
00
00
00
11
10
11
10
10
11
00
01
11
11
00
11
10
00
00
10
00
01
00
10
00
01
10
00
00
10
00
00
00
10
11
01
00
10
00
10
00
01
10
00
00
01
01
10
10
10
10
00
00
10
01
10
01
11
01
01
01
01
11
00
01
10
00
01
01
10
10
10
00
00
10
00
10
11
00
11
00
11
11
00
11
10
00
00
00
11
11
00
10
00
10
10
10
00
10
00
01
01
10
00
10
00
11
00
01
10
10
10
11
00
00
01
10
11
11
00
01
01
10
10
10
00
10
10
00
00
11
10
00
11
10
10
01
11
00
00
10
11
00
01
00
00
01
00
00
00
10
10
10
11
11
11
01
11
01
00
00
10
00
00
10
10
00
11
00
00
11
10
00
11
01
00
10
00
01
10
00
01
01
10
10
10
00
01
10
00
10
00
01
01
01
11
00
10
10
11
00
10
11
00
10
01
10
00
00
10
11
00
01
10
10
10
01
00
10
11
11
10
00
01
11
01
00
01
00
10
10
00
11
11
01
01
00
11
01
01
00
10
10
00
00
11
11
10
10
11
00
01
01
00
11
00
00
10
00
00
11
10
00
00
11
10
00
10
00
00
11
00
10
10
00
00
11
01
00
10
00
00
00
00
10
00
00
00
01
11
10
11
11
11
10
00
00
11
00
10
10
01
10
01
10
10
00
01
10
10
10
01
10
11
11
00
10
11
00
00
00
10
01
00
10
00
01
10
10
11
10
00
11
00
10
00
10
10
11
11
00
00
11
01
00
10
10
10
01
11
01
01
10
11
01
11
00
10
10
00
00
10
01
10
00
00
11
00
00
10
00
10
10
00
10
00
00
10
00
01
00
10
10
00
11
11
00
00
10
00
11
01
10
10
00
00
00
10
01
01
00
11
10
01
10
11
00
01
10
10
01
01
00
11
00
00
10
11
10
01
10
10
01
00
11
01
01
10
00
00
10
11
10
00
00
10
00
10
10
00
01
10
10
10
10
00
00
10
10
10
10
11
00
00
00
01
00
10
01
00
10
00
01
10
10
11
10
10
10
00
01
01
11
10
10
10
11
01
10
10
00
10
10
01
00
00
11
00
01
10
01
00
10
10
10
01
01
10
01
10
11
10
00
01
11
11
00
01
10
00
00
10
10
01
00
00
01
00
00
10
10
01
11
00
10
10
00
10
00
01
10
10
00
01
10
10
11
00
01
10
00
10
10
00
11
01
00
01
11
00
00
10
00
01
11
10
00
01
11
11
00
00
00
10
10
00
00
11
00
00
11
10
01
11
11
00
10
00
00
10
11
00
10
11
11
10
10
10
01
10
11
10
01
00
00
10
00
00
11
10
11
11
10
01
01
01
10
00
10
00
11
10
01
11
10
01
11
01
10
11
00
01
10
10
01
01
11
11
10
10
11
01
01
01
00
11
00
10
00
00
11
00
10
10
11
01
00
00
10
11
10
00
00
11
11
01
00
11
00
10
11
11
00
01
11
10
10
01
00
11
00
01
10
11
00
00
10
00
10
10
00
00
10
10
10
10
01
01
00
01
00
10
00
10
10
10
11
01
10
10
10
00
10
00
00
00
10
00
00
11
01
01
11
00
00
00
11
00
10
11
10
10
01
10
00
01
10
00
01
10
10
10
01
01
00
10
10
11
10
11
10
00
00
10
00
11
10
01
01
00
10
10
01
10
10
00
11
01
00
00
01
00
01
11
10
00
00
10
11
01
01
10
00
10
10
10
10
00
01
11
00
00
01
10
01
00
00
00
10
00
00
10
10
10
01
00
01
00
10
10
01
01
10
11
00
00
10
00
01
11
00
01
10
11
10
01
00
00
10
10
10
10
01
00
10
11
00
00
10
00
11
10
00
01
00
00
10
10
10
01
10
01
00
10
00
10
10
01
00
10
10
01
00
11
00
00
10
10
00
10
10
00
01
00
10
10
00
11
11
10
11
00
00
01
01
11
10
00
01
10
01
00
00
11
10
10
10
01
01
00
00
10
10
00
01
10
11
00
11
10
10
11
00
00
11
10
00
00
00
00
00
10
00
00
11
11
00
10
00
11
10
01
00
00
11
10
01
00
10
10
00
11
10
10
00
10
10
10
10
10
10
00
01
00
11
00
00
10
00
00
01
01
10
11
01
00
01
00
10
11
00
01
11
11
00
11
00
01
10
11
01
00
00
10
10
00
00
01
11
00
00
10
10
11
00
00
10
10
00
00
01
10
11
00
01
01
10
11
00
10
11
10
00
10
01
00
10
00
01
10
10
00
10
10
00
01
11
00
10
01
10
10
00
00
10
10
00
10
00
00
01
11
01
10
10
00
10
10
00
00
10
11
00
11
10
10
10
10
00
00
00
00
00
11
10
11
10
10
01
10
10
01
00
10
01
10
10
00
11
10
10
10
10
10
10
11
00
00
11
10
10
10
11
00
00
11
10
00
00
00
10
00
01
00
00
10
00
10
10
11
11
11
00
01
01
00
11
00
11
00
00
10
10
00
00
01
01
00
00
10
00
00
00
10
10
01
00
00
11
11
00
00
10
00
10
10
00
11
10
01
11
11
00
00
00
00
00
00
01
10
00
10
00
01
00
10
11
10
11
10
11
10
00
00
10
11
10
10
00
00
00
00
00
11
10
11
00
00
11
00
00
00
10
10
00
00
11
10
00
00
01
00
10
10
01
01
11
01
00
00
01
01
11
00
00
10
10
11
11
10
01
00
01
10
00
00
11
10
01
00
10
10
10
00
01
11
01
10
00
10
00
00
01
10
10
00
10
00
11
11
00
00
10
00
01
10
11
00
01
10
01
10
10
10
00
10
10
10
01
00
01
10
11
00
00
00
11
00
00
00
00
00
11
10
00
00
11
00
11
00
11
00
11
10
00
00
10
10
11
00
01
11
11
10
00
10
01
00
10
00
00
10
10
00
11
01
01
01
10
10
00
00
00
01
10
10
00
00
00
01
10
10
10
01
10
00
00
11
10
10
10
10
10
00
00
00
10
10
10
00
10
10
00
11
10
00
00
11
01
00
10
00
10
11
11
11
00
00
10
11
01
11
01
01
01
10
10
01
00
11
10
10
00
00
10
01
10
00
01
01
01
11
01
11
00
11
11
00
10
10
11
00
10
10
01
10
00
00
00
11
10
10
01
10
01
11
11
00
10
01
10
10
11
11
01
00
11
11
01
01
01
10
10
10
00
00
11
10
01
11
11
11
10
00
10
10
00
01
11
10
00
10
11
10
00
00
01
01
00
10
00
10
10
01
01
10
11
01
00
10
10
00
00
10
11
00
10
10
00
10
00
01
11
11
11
10
11
10
00
10
10
00
01
00
10
00
01
00
01
00
10
10
00
10
01
00
11
00
01
11
10
00
01
00
10
00
00
11
11
00
01
10
10
00
10
11
11
11
00
10
11
00
00
00
00
10
00
10
01
00
10
00
10
10
00
11
11
00
00
01
00
10
00
10
01
11
11
00
01
10
00
11
10
00
01
10
10
11
00
00
10
11
00
10
10
01
01
10
10
11
10
00
10
11
10
00
00
01
00
11
10
11
00
00
01
10
00
01
11
00
11
11
10
10
10
00
00
01
10
00
00
11
10
00
00
00
01
11
00
01
11
00
00
00
01
10
10
10
00
00
11
10
00
00
01
10
10
10
10
10
11
01
00
11
00
00
11
01
00
01
11
10
00
00
00
10
01
10
11
10
00
00
10
11
00
11
11
01
00
10
10
00
11
01
01
00
10
10
11
11
01
01
10
00
01
10
11
10
11
01
00
00
10
10
01
01
10
11
01
11
10
11
10
10
01
01
10
10
00
00
00
10
11
00
10
11
00
11
01
00
00
10
11
01
10
10
11
01
10
01
11
00
00
10
00
10
10
10
00
10
10
11
00
10
10
11
10
10
00
10
11
10
00
01
10
10
10
10
11
00
01
10
01
10
10
00
01
10
11
00
01
11
10
10
10
01
00
01
10
00
10
10
01
00
10
01
11
10
00
00
01
10
00
00
11
00
10
10
00
01
01
11
11
10
11
10
10
00
00
11
10
10
00
00
10
00
00
00
10
11
01
00
00
10
10
00
10
10
01
00
10
10
10
10
10
10
01
01
10
01
10
00
00
10
00
00
11
11
10
00
01
10
00
01
10
11
10
10
11
01
00
00
01
10
00
00
00
00
01
10
11
10
11
00
00
01
10
00
10
11
01
00
10
10
00
10
00
00
00
00
11
11
10
00
10
10
10
00
01
10
00
00
00
00
11
00
10
10
01
10
01
00
11
00
11
10
10
00
00
11
00
10
11
10
01
10
11
00
00
10
11
10
01
00
01
11
01
11
10
11
01
00
01
10
00
00
11
11
10
00
00
10
10
10
01
00
11
00
11
11
00
01
01
00
00
01
10
11
00
10
01
11
10
10
00
00
00
10
00
00
00
00
11
10
00
10
10
00
00
01
00
10
10
00
01
00
10
01
00
10
11
00
11
10
10
10
11
00
00
10
11
00
00
10
01
01
10
00
10
10
11
00
00
10
00
00
11
00
11
11
00
10
10
00
00
10
10
00
10
10
10
10
10
10
00
01
00
10
00
00
00
10
00
11
01
00
00
11
10
11
01
10
11
00
00
10
01
01
11
10
10
10
00
10
10
10
11
10
10
00
00
10
00
00
10
10
11
00
10
11
00
01
10
01
00
11
11
00
10
10
11
11
01
01
10
11
00
01
00
11
11
11
11
00
01
10
10
00
01
10
00
10
10
00
01
00
11
10
00
01
10
01
11
01
01
01
10
01
00
00
00
10
10
01
00
11
10
11
00
00
00
10
10
00
10
00
11
11
01
00
01
10
10
11
10
00
00
10
10
00
10
10
00
01
11
01
00
11
00
11
10
00
10
01
10
11
01
01
11
11
10
01
11
11
11
01
00
10
11
01
01
11
10
01
11
10
00
00
10
10
10
01
11
00
11
00
00
11
10
00
10
10
00
01
00
10
00
00
10
10
00
01
01
00
00
01
10
10
10
00
00
11
10
10
00
00
10
01
00
10
01
00
11
01
11
01
01
11
10
11
00
00
11
10
00
00
10
10
00
10
10
00
00
11
00
11
00
10
10
10
00
01
00
10
10
01
00
00
10
00
00
00
01
10
01
10
00
01
00
00
10
10
01
00
10
00
10
00
01
11
10
11
11
00
11
00
00
00
00
10
11
10
01
10
00
10
11
10
00
10
10
11
00
10
11
10
00
10
00
00
10
10
00
11
10
00
10
00
01
10
10
01
10
10
10
01
10
00
10
01
00
01
10
11
01
00
01
00
00
01
00
11
10
00
00
11
01
01
10
10
11
00
00
00
10
11
01
01
10
01
00
00
10
00
00
11
00
01
00
10
01
01
01
10
10
00
11
00
01
11
10
00
00
01
00
00
10
10
10
00
00
10
00
10
11
00
11
10
11
00
00
00
00
11
10
00
10
10
00
01
10
11
10
00
10
01
00
01
10
10
10
00
11
10
11
01
10
01
00
10
10
10
00
10
11
00
00
01
01
00
10
00
10
10
10
00
00
10
11
00
11
10
10
10
00
01
00
10
11
00
00
00
10
10
10
10
10
00
10
10
00
01
00
00
00
01
00
00
10
10
10
00
11
10
00
00
10
00
00
00
01
01
11
01
00
10
00
10
11
10
00
01
10
00
00
10
10
11
10
00
00
10
11
10
10
01
10
00
10
00
10
00
10
10
11
01
00
11
10
00
01
00
11
11
10
00
00
10
10
00
01
00
10
10
10
00
10
11
00
10
10
10
11
10
00
00
00
10
11
10
10
01
10
11
00
00
10
10
10
10
01
10
01
11
00
11
10
01
01
10
11
01
10
11
00
00
01
11
11
10
10
00
10
01
01
10
10
01
10
00
11
01
00
11
10
10
00
10
10
00
01
10
00
10
11
00
01
10
00
10
00
11
10
01
10
00
01
00
11
11
11
00
10
01
01
01
11
10
01
00
00
10
10
00
01
10
11
10
11
00
10
10
00
11
10
00
01
00
00
11
10
11
01
00
11
10
00
00
00
00
10
11
01
00
00
10
00
01
10
11
10
00
01
10
10
00
10
10
11
01
11
10
00
00
01
00
00
11
11
01
11
00
10
00
10
01
00
11
11
11
00
11
10
10
00
00
10
10
00
00
01
00
00
00
11
11
11
00
01
10
11
00
00
11
10
01
01
00
00
10
11
00
00
10
11
00
10
10
00
11
11
01
11
11
10
00
10
00
01
00
11
10
10
00
11
00
00
11
10
10
10
00
00
11
11
00
01
00
10
10
01
01
10
11
00
10
10
11
10
11
10
00
01
00
10
10
10
00
01
10
10
00
11
10
01
01
00
10
00
10
11
11
01
01
10
11
10
00
10
10
00
00
10
10
11
00
01
00
11
10
00
01
10
01
00
01
11
01
01
01
10
10
10
00
10
10
00
00
00
00
01
11
00
11
11
01
10
00
00
10
00
01
10
10
00
10
00
10
00
00
11
00
00
11
10
01
01
11
10
11
10
01
00
10
10
00
00
10
00
00
00
10
00
00
01
10
10
01
10
11
00
10
10
01
10
00
00
10
10
10
00
10
01
00
10
10
10
00
00
00
10
01
11
00
10
01
10
00
00
10
10
10
01
11
01
10
11
10
01
10
00
00
11
10
00
10
11
10
01
00
10
01
10
10
00
00
01
10
10
11
10
10
00
01
00
00
10
10
10
10
11
00
10
01
10
10
00
01
10
00
01
00
00
01
10
11
10
00
00
10
01
01
11
00
11
00
00
10
10
00
01
00
10
00
01
01
11
11
10
11
00
10
00
01
11
10
10
00
10
10
00
00
11
00
10
00
00
10
00
10
11
00
11
10
01
11
10
00
10
10
01
00
10
11
10
01
10
00
10
01
11
00
00
00
11
10
00
11
10
10
11
01
10
01
01
00
00
11
01
11
11
00
10
00
10
00
00
10
11
11
00
01
01
11
00
00
00
10
10
00
11
01
00
11
00
00
00
00
10
00
01
11
01
00
10
01
00
11
10
10
01
00
01
11
00
00
00
00
11
10
00
01
10
01
10
10
10
00
00
10
11
00
10
00
01
00
01
01
10
00
01
10
10
10
00
10
00
01
11
01
00
10
10
00
01
11
01
00
11
10
00
00
00
11
11
01
00
10
11
10
11
00
01
10
01
11
00
00
10
00
10
00
00
10
00
10
10
00
01
10
11
01
00
00
01
00
10
10
10
11
10
00
01
11
10
10
00
10
00
11
00
00
01
11
10
10
01
10
10
10
11
01
00
11
11
01
01
11
01
10
10
00
01
10
10
10
00
10
10
10
10
01
00
00
10
01
00
10
10
10
00
01
00
10
00
11
00
10
10
00
00
00
11
00
00
10
11
00
10
00
10
11
00
11
10
11
01
10
01
11
01
10
10
00
00
11
11
01
00
00
00
01
10
10
01
00
01
10
10
00
11
11
11
11
01
01
01
10
01
01
10
10
10
01
10
11
00
01
01
00
01
10
00
00
10
10
01
00
10
11
01
01
01
00
10
11
00
00
01
11
11
01
11
01
11
10
00
10
10
01
00
00
10
11
10
00
01
10
11
01
01
11
10
00
11
10
01
00
10
00
10
10
10
10
00
11
00
11
00
00
01
00
01
10
00
00
10
11
10
11
01
10
11
11
10
10
00
10
10
00
00
00
00
11
10
00
00
10
01
00
01
10
00
01
00
11
00
10
10
00
00
00
11
10
10
00
00
00
10
10
00
00
01
00
00
10
10
01
01
10
10
10
00
11
01
01
11
10
01
00
01
10
11
00
00
00
10
00
10
10
00
01
00
11
10
00
11
10
00
11
11
10
00
10
11
00
01
00
01
10
01
10
10
10
10
10
00
10
11
00
10
01
01
10
11
00
10
00
10
01
00
11
00
11
11
01
10
10
10
11
01
00
10
00
10
11
10
10
00
00
10
11
00
00
11
10
11
11
10
00
01
11
01
00
11
10
00
00
11
10
00
00
10
00
11
00
00
10
11
10
01
00
11
00
00
10
10
00
01
00
10
01
01
01
11
01
10
11
00
00
00
01
10
10
01
00
10
10
01
01
00
11
10
10
00
10
00
10
11
00
11
10
10
00
00
11
10
00
00
10
11
00
10
11
10
01
00
01
10
00
00
01
00
10
10
10
10
01
00
00
11
01
10
10
00
11
10
01
01
10
10
10
10
00
10
00
00
11
10
11
01
00
10
10
00
00
00
10
00
00
11
00
01
10
01
10
00
00
10
01
11
00
01
00
00
01
11
00
01
01
11
00
00
00
00
00
10
10
11
01
00
10
00
00
01
11
10
10
10
01
11
00
00
10
11
10
10
01
00
00
00
10
00
11
10
10
01
00
11
10
10
00
10
10
01
00
10
10
10
00
00
11
11
00
00
01
00
10
00
00
10
01
00
11
10
11
00
10
00
00
10
11
10
01
10
01
10
01
00
10
10
00
00
00
00
00
01
00
10
10
00
10
00
00
11
00
00
10
00
10
11
01
01
11
10
00
01
01
01
11
00
01
10
10
00
11
11
00
00
00
00
00
10
10
11
10
01
00
00
00
10
00
00
10
11
10
10
11
10
00
00
10
10
10
00
00
11
01
00
00
01
00
10
11
00
01
10
10
10
10
10
00
01
10
11
01
01
10
00
01
10
10
00
01
10
11
01
10
01
10
00
01
01
10
11
10
00
00
00
01
10
10
00
11
10
11
00
10
10
00
00
01
11
10
00
00
11
01
11
10
11
01
01
01
00
10
11
00
00
11
01
01
10
00
10
11
11
01
01
11
00
10
00
10
00
01
01
11
10
10
10
10
00
01
10
10
00
00
11
11
01
01
01
10
10
00
00
10
00
00
11
11
11
10
00
01
10
01
11
10
01
10
10
11
10
00
01
11
10
10
11
01
00
10
01
10
00
00
10
11
10
01
10
01
10
00
10
10
00
00
01
01
10
00
00
10
01
10
10
11
00
10
01
10
11
00
00
00
10
00
00
10
00
00
11
10
10
11
10
10
01
01
00
00
11
01
00
11
11
10
11
00
01
11
01
01
00
00
10
10
00
11
10
00
00
10
00
10
00
10
11
00
11
00
01
10
10
11
00
11
10
11
11
10
01
11
10
00
00
11
11
10
00
01
00
11
01
00
10
10
11
10
01
00
00
11
10
10
00
11
10
11
00
11
11
00
01
00
01
11
10
10
00
01
10
10
10
10
01
11
00
00
00
10
11
01
10
00
10
10
00
10
00
00
01
10
10
11
00
00
00
11
01
11
00
01
11
11
11
10
00
10
10
10
11
00
00
10
01
00
10
10
11
00
00
11
10
00
10
00
01
10
01
10
10
10
10
10
10
00
00
10
01
01
01
01
00
10
10
01
00
01
10
10
00
00
01
00
00
10
00
10
00
00
00
11
00
00
10
01
00
10
10
01
11
10
00
01
10
10
10
10
00
10
01
01
01
10
00
10
00
01
10
00
00
11
11
00
00
10
10
10
11
01
10
10
01
10
01
10
01
10
11
11
00
01
10
10
10
11
00
11
11
00
00
00
00
00
00
10
00
00
10
11
10
10
00
10
10
00
00
00
10
10
01
00
01
10
00
01
10
10
10
11
00
11
10
10
01
11
11
00
00
10
11
11
00
00
10
10
00
10
10
10
00
00
01
00
00
10
10
00
11
00
10
00
01
11
11
00
01
00
01
10
10
11
10
00
01
10
00
10
00
01
11
01
00
11
10
10
00
01
10
10
11
01
10
10
11
00
10
00
01
10
00
11
11
11
00
11
11
10
00
10
00
10
00
00
11
11
10
10
00
10
00
11
00
01
11
10
10
10
11
01
10
10
00
00
11
10
01
11
00
10
01
10
00
00
10
10
01
00
10
00
01
00
00
01
11
01
11
01
10
00
11
00
01
10
10
00
10
01
10
10
01
00
10
10
01
10
11
00
00
10
10
00
01
00
11
10
01
00
01
00
11
01
00
11
11
10
00
11
11
01
10
11
00
01
01
11
10
00
00
11
10
00
00
10
10
11
11
01
00
01
10
11
11
10
11
00
11
11
10
00
00
10
10
10
00
00
00
11
01
10
10
10
00
01
11
10
01
00
00
10
00
01
00
10
10
00
00
00
00
11
01
01
00
11
10
00
01
00
00
10
00
01
00
10
10
11
01
10
00
00
10
00
00
01
10
10
01
11
01
10
10
00
11
11
10
10
01
11
01
01
01
01
10
10
11
00
00
01
11
10
01
00
00
01
00
01
00
11
10
00
01
11
00
00
11
11
01
10
10
00
00
10
10
11
00
00
00
10
10
10
11
10
10
11
11
10
00
00
10
11
00
00
10
11
00
11
10
11
11
00
00
00
11
10
10
00
11
10
01
00
01
00
00
10
11
10
00
00
00
00
00
00
10
11
01
00
10
11
00
00
00
10
00
00
10
00
10
00
00
00
00
10
10
11
11
10
00
11
01
00
11
11
00
11
10
10
10
11
10
00
00
10
10
00
10
10
01
10
01
10
10
10
00
01
01
01
10
10
00
10
01
01
10
10
10
00
10
00
10
11
10
01
00
10
10
10
10
10
10
01
00
11
00
11
10
10
10
10
00
00
01
10
10
00
11
00
11
11
00
11
00
10
00
00
11
10
10
01
00
00
01
00
10
00
00
10
11
10
00
11
10
00
00
10
00
10
10
00
10
00
00
00
10
10
00
00
01
10
10
01
11
00
01
11
00
00
10
00
00
10
00
11
00
10
01
00
10
00
10
00
10
11
10
00
00
10
10
00
10
10
01
00
11
10
00
11
01
01
01
00
10
11
00
00
01
10
10
10
01
11
00
00
10
10
01
10
10
00
00
10
01
01
10
00
11
10
10
01
01
10
00
00
01
00
00
01
10
10
10
10
01
10
01
10
11
10
00
10
01
01
10
00
00
01
00
11
10
10
11
00
01
00
00
11
00
00
10
10
00
00
01
10
10
10
10
11
10
10
01
10
11
10
00
10
01
01
11
10
10
01
01
10
00
00
10
01
00
10
00
00
10
10
11
00
11
11
11
10
11
00
01
10
11
11
11
10
00
00
10
01
00
10
10
00
00
10
11
00
10
00
11
00
10
10
00
00
11
10
10
01
11
10
11
01
00
01
01
10
10
00
00
00
00
11
10
11
10
01
10
10
00
10
00
00
10
10
00
00
11
10
11
00
00
00
10
11
01
11
11
10
00
01
00
01
10
01
10
10
01
10
01
01
01
11
10
01
00
00
00
00
11
10
01
10
10
01
10
10
00
00
00
00
00
10
10
11
10
00
10
01
00
00
01
10
00
00
01
11
00
10
00
10
10
10
00
00
10
11
11
01
00
10
11
11
01
00
00
11
01
01
01
10
00
00
00
01
00
10
11
00
00
01
00
10
00
00
10
00
10
00
11
00
10
10
00
10
01
11
11
10
01
00
10
10
01
01
11
10
01
10
00
10
10
10
01
01
00
00
10
11
10
10
10
01
00
10
00
10
11
01
11
10
11
10
00
10
10
10
01
00
11
10
00
11
00
01
11
00
01
00
01
10
10
01
01
10
10
10
01
10
11
11
00
01
00
10
10
01
00
11
00
00
10
00
11
10
11
00
00
01
10
10
01
10
11
11
10
00
10
00
00
00
10
10
00
10
11
11
10
10
10
00
01
10
11
10
10
10
10
00
01
00
10
01
01
10
11
00
01
10
11
10
10
10
00
01
10
01
10
10
00
11
11
01
11
00
00
11
10
01
10
10
00
11
10
00
01
10
00
10
00
00
01
10
10
00
00
00
10
00
00
10
10
01
10
10
00
01
10
00
10
00
00
11
11
01
10
10
11
00
10
01
10
11
01
01
10
00
00
10
10
00
00
11
00
11
00
10
00
11
00
01
00
01
10
00
11
00
10
00
10
10
00
10
10
00
00
00
00
00
10
10
00
10
10
01
00
01
00
10
11
00
00
10
00
00
00
00
10
00
10
11
10
01
10
01
00
00
10
10
10
00
10
11
11
10
00
00
00
00
11
10
01
00
00
10
10
10
00
00
01
00
11
01
10
00
10
10
11
00
01
10
00
01
01
00
01
00
01
10
01
11
01
10
11
00
00
10
11
00
10
00
00
10
00
10
11
10
00
00
11
01
11
10
01
10
11
11
10
10
00
01
11
10
00
00
10
00
00
10
11
01
10
00
00
10
01
01
00
00
10
11
01
11
00
01
10
10
01
01
11
11
01
01
00
00
10
11
00
10
10
10
00
10
00
00
10
10
11
01
10
11
01
10
01
00
11
11
01
00
00
00
00
00
10
00
10
11
10
11
00
10
10
10
10
00
11
11
10
00
11
01
00
00
00
00
00
10
01
11
10
10
11
01
10
01
00
00
10
10
10
10
00
01
10
10
01
01
11
01
11
01
00
00
00
11
00
01
00
00
11
00
10
10
01
10
00
11
00
01
00
10
10
10
01
01
01
11
11
00
01
00
10
10
00
00
00
10
10
11
00
01
11
11
01
11
11
00
00
10
11
10
01
11
10
10
10
00
00
11
10
00
00
00
10
00
00
10
00
10
00
01
11
00
00
10
00
10
00
10
10
10
00
11
10
00
00
11
11
11
00
01
00
00
01
00
11
10
00
10
10
00
10
10
01
11
10
01
10
11
01
10
01
00
10
11
00
00
10
10
01
00
11
11
10
10
11
00
00
10
11
00
10
00
00
00
11
00
11
00
01
10
11
11
01
01
10
01
10
01
01
11
01
00
00
00
10
00
11
10
01
10
10
10
00
10
10
10
11
10
00
10
00
01
01
11
11
01
00
10
11
01
11
11
01
00
11
10
11
10
00
01
10
10
00
00
11
01
00
10
10
00
01
10
00
10
10
01
10
11
00
10
11
10
11
10
00
11
00
01
00
01
10
00
00
10
10
10
11
00
10
10
10
01
10
11
00
11
00
01
10
01
10
10
01
00
10
10
11
01
01
10
11
00
11
00
01
10
11
10
00
00
10
10
00
00
10
10
00
10
01
01
11
01
00
10
00
10
11
11
00
00
00
01
00
10
10
00
00
00
10
11
01
01
00
00
10
00
00
10
00
00
10
00
01
10
00
10
00
10
00
00
10
01
00
00
10
00
00
11
11
10
00
10
10
00
10
01
00
00
00
10
01
10
00
00
11
01
01
10
10
10
11
11
01
10
00
00
00
01
00
11
00
00
10
00
10
10
00
01
00
01
11
10
11
10
10
10
00
00
00
00
10
01
00
11
10
00
11
00
00
10
00
01
10
11
00
01
10
10
10
11
01
00
00
10
01
01
00
00
10
00
00
01
11
11
10
01
00
01
00
00
10
10
11
10
10
00
11
11
00
11
00
10
11
10
00
01
10
10
00
00
11
01
00
11
11
00
01
10
01
11
11
00
00
00
11
10
00
00
10
00
10
10
00
10
00
01
10
10
00
00
10
11
00
10
00
00
00
10
00
01
01
01
00
00
00
10
10
01
10
10
01
00
11
00
00
10
00
00
11
01
00
11
00
10
10
00
10
11
01
00
01
01
10
10
00
00
11
01
00
11
01
00
00
01
10
11
00
10
00
10
10
01
00
10
10
10
10
00
11
00
10
01
01
01
11
11
11
11
00
00
10
10
01
00
00
10
10
00
01
00
00
10
10
10
10
10
10
10
10
11
01
10
11
00
00
10
11
00
10
00
00
00
11
11
00
11
01
11
01
00
10
00
00
10
10
00
01
00
01
10
10
10
10
10
00
01
10
10
00
11
10
00
10
10
00
10
11
00
11
00
10
10
10
10
01
00
10
01
10
10
00
00
10
10
00
10
11
00
10
10
01
10
00
00
10
10
10
01
01
11
11
10
11
11
01
00
11
11
10
10
00
11
00
01
00
01
10
01
00
11
10
11
11
00
01
11
00
01
10
00
10
00
11
11
01
11
11
00
01
10
00
00
10
11
00
10
10
00
00
01
10
01
00
10
11
00
10
11
00
00
10
10
00
01
00
10
00
10
01
11
10
01
01
11
01
10
10
00
10
10
11
01
00
10
11
10
00
00
11
10
00
10
00
11
00
00
01
10
10
10
10
01
00
11
10
01
00
11
00
00
00
10
01
00
00
11
00
01
00
11
00
10
10
01
10
11
01
10
10
00
00
10
01
00
10
00
01
10
11
00
01
10
11
10
11
10
10
00
00
00
10
10
00
10
10
01
10
11
11
00
00
10
00
00
10
00
01
10
10
10
01
10
00
10
10
10
00
00
10
00
00
00
10
10
11
01
10
00
01
10
10
00
11
11
10
11
11
00
00
11
00
11
00
00
11
10
00
10
10
01
01
00
00
01
00
11
10
01
00
11
10
01
11
11
00
00
00
10
10
00
11
10
00
00
00
10
00
10
01
11
01
01
10
11
11
11
00
01
11
10
11
11
00
00
10
01
10
00
00
10
00
11
01
11
10
10
01
00
10
01
00
10
01
01
10
10
00
10
00
11
00
00
10
11
00
00
00
10
10
00
10
10
10
00
00
00
10
00
00
00
10
01
01
00
11
10
00
10
00
10
10
10
10
11
11
00
10
00
01
11
10
00
01
10
00
00
10
11
00
10
11
11
00
10
00
11
01
00
00
01
10
01
10
01
00
11
00
10
10
01
00
10
00
01
11
00
10
10
00
10
11
01
01
11
10
01
10
00
01
10
10
00
11
00
10
00
10
00
01
10
10
00
10
10
10
10
00
00
00
01
00
01
10
11
01
00
00
10
10
00
00
11
11
10
01
00
01
10
01
00
10
00
01
10
10
10
01
00
10
10
10
00
10
00
00
11
01
00
01
10
10
01
00
10
10
10
00
11
10
11
10
01
00
01
00
11
11
10
01
01
00
11
10
00
00
00
11
10
00
01
01
00
10
10
00
10
10
01
00
10
11
10
01
10
01
10
10
01
10
10
00
00
11
10
11
00
00
10
00
11
10
00
10
10
10
11
10
00
00
00
00
10
00
00
11
00
10
00
10
00
00
10
10
10
00
01
01
10
01
00
00
00
01
11
11
11
01
10
10
10
01
10
11
00
10
10
00
10
00
01
00
01
10
10
00
00
11
10
10
00
00
01
00
00
10
01
11
11
00
00
01
10
00
10
01
00
10
00
01
01
10
01
11
00
11
10
01
01
01
10
00
00
10
10
00
00
10
10
10
10
01
00
10
10
00
01
10
10
00
00
10
01
00
10
10
10
01
00
01
00
00
10
10
01
00
00
11
10
01
00
01
10
10
10
10
01
00
10
10
00
00
10
00
10
11
01
10
00
01
00
00
10
11
00
00
01
11
00
01
00
11
11
10
11
00
00
10
10
01
10
10
00
11
10
00
00
11
11
10
11
00
00
10
01
00
11
10
01
00
10
00
00
00
01
00
10
01
00
01
00
10
11
10
11
10
00
00
11
00
01
11
10
10
00
00
01
00
10
10
11
10
10
10
01
00
11
10
11
01
11
11
00
10
00
11
10
10
01
00
10
00
00
10
00
11
01
01
10
10
10
01
10
00
10
10
00
00
00
01
00
10
10
10
10
11
10
01
00
10
10
01
00
00
01
10
01
01
11
10
00
00
00
10
11
00
00
10
10
11
00
01
11
00
00
00
00
10
00
10
00
11
00
00
00
01
00
01
10
01
00
01
10
00
00
10
00
10
10
00
00
10
01
00
00
01
00
00
01
11
10
00
00
00
11
10
00
11
00
10
11
10
00
01
00
00
10
11
00
00
10
00
01
10
10
10
11
10
11
01
00
00
10
00
00
11
11
11
10
11
00
01
10
11
10
00
01
10
00
11
10
00
10
01
00
10
01
00
01
10
00
11
00
00
10
00
00
10
10
00
00
10
11
10
00
00
10
01
00
01
10
11
00
01
00
00
00
10
01
10
10
00
00
10
00
01
00
11
10
11
00
01
10
11
00
00
00
10
10
00
01
11
00
00
00
01
11
10
11
00
01
01
00
01
10
10
00
00
01
10
00
00
10
00
10
01
01
10
10
10
01
00
10
10
00
10
10
10
00
00
01
10
11
10
01
01
10
10
10
00
11
10
00
00
10
01
00
10
11
00
00
01
10
10
00
01
10
10
10
00
01
00
11
10
10
11
00
10
10
10
00
10
10
01
00
11
00
00
10
00
01
00
01
10
10
11
10
01
10
10
00
11
11
00
00
10
11
11
00
10
01
00
01
10
11
10
10
01
10
00
00
10
10
10
00
01
11
11
01
00
00
01
01
11
10
01
11
00
01
10
01
00
01
10
10
10
00
10
01
10
00
10
11
10
10
11
00
01
01
10
10
10
01
10
11
01
10
10
01
01
10
10
00
00
10
00
11
10
01
10
10
00
10
01
00
00
11
10
01
10
10
10
00
11
10
01
01
01
00
00
10
10
10
10
01
00
00
11
10
00
01
10
00
11
10
00
10
10
00
00
10
10
10
11
00
10
01
11
10
10
11
10
10
00
01
11
01
00
11
00
00
11
01
01
00
00
10
11
01
11
11
01
00
11
10
00
00
11
00
00
11
11
10
00
00
10
11
10
10
00
10
00
00
00
00
01
00
00
00
10
00
00
10
11
01
00
01
10
10
10
10
11
11
01
00
11
01
01
00
10
01
00
10
10
01
01
10
10
01
00
10
10
10
00
11
10
01
00
10
00
11
10
00
00
10
10
00
00
00
10
10
00
00
00
00
01
00
00
10
10
10
00
00
10
10
10
11
01
00
01
10
01
10
00
10
10
00
00
11
10
00
10
00
11
00
00
01
10
10
10
10
00
10
01
10
01
00
11
10
01
10
10
00
00
00
00
01
11
11
00
11
11
01
10
00
00
11
01
00
11
10
00
00
11
00
01
00
11
10
11
00
00
01
10
10
10
10
00
10
10
01
11
10
10
01
01
10
10
00
00
00
10
11
10
10
11
00
10
10
00
00
01
01
10
11
00
10
11
00
00
10
10
01
00
11
11
11
10
00
11
01
10
10
10
00
00
11
10
00
00
11
10
10
00
01
00
10
10
01
10
01
00
10
00
10
01
10
01
00
00
10
00
00
10
00
01
11
11
00
00
00
10
00
00
00
10
10
01
01
00
10
00
10
00
00
00
10
01
00
10
10
00
00
00
01
10
10
00
10
00
01
10
01
00
10
00
10
10
11
11
01
10
00
00
10
10
11
01
01
10
10
11
10
11
10
10
01
00
00
01
00
01
10
10
00
10
10
11
10
00
00
01
11
11
00
10
10
10
00
01
00
10
11
10
11
00
10
00
00
10
10
10
00
00
10
10
01
10
11
01
01
00
00
10
01
00
10
01
11
11
01
10
00
00
00
10
11
11
00
00
00
00
00
11
01
00
11
10
11
00
10
00
01
10
00
00
11
10
01
00
10
10
11
11
10
10
00
10
01
10
00
10
11
00
01
01
10
00
00
10
10
01
01
00
11
10
10
00
00
10
10
01
00
00
01
10
01
11
10
00
00
00
11
10
00
10
01
10
01
11
11
00
11
00
01
10
10
00
00
00
10
10
01
00
11
11
00
10
00
10
00
00
10
11
00
10
10
10
00
11
00
00
10
10
00
00
00
00
10
00
10
01
01
11
11
01
10
00
11
01
00
11
11
10
11
00
00
01
00
11
10
01
01
10
00
00
00
11
01
10
10
00
00
10
10
00
00
10
00
10
11
10
00
00
10
00
10
11
00
10
10
00
10
00
11
11
10
10
10
11
10
11
00
01
01
00
11
10
10
00
00
01
00
10
10
10
00
10
10
00
00
11
00
10
00
01
10
10
00
10
01
11
11
10
10
01
01
10
00
11
10
00
10
10
00
10
00
01
10
00
11
00
11
10
10
10
01
00
11
00
01
10
10
00
01
10
10
10
10
11
01
00
10
00
00
10
00
10
01
10
01
00
10
00
10
01
00
01
10
10
10
11
10
11
00
01
00
10
01
01
10
10
10
00
10
00
00
11
10
00
10
10
10
00
00
10
00
01
00
00
11
10
10
11
01
00
10
11
01
00
00
01
10
01
10
10
10
00
00
11
10
00
00
10
11
00
01
10
01
00
00
10
10
00
00
01
10
10
11
00
10
10
01
00
00
00
11
01
00
10
00
00
10
11
11
01
00
10
11
10
10
10
01
00
01
00
11
01
01
00
10
00
00
11
10
00
10
00
11
00
00
11
00
00
11
10
01
10
10
00
11
11
00
10
00
10
00
00
10
10
10
10
00
00
10
01
10
00
00
01
00
11
11
00
00
10
10
00
10
10
10
10
01
10
10
00
11
10
11
00
01
01
10
00
10
00
01
00
11
11
00
11
00
10
00
00
10
00
01
10
00
00
10
11
00
00
00
11
00
01
11
10
11
01
10
11
10
00
00
10
11
11
10
00
01
11
00
00
01
10
10
00
11
00
10
00
00
10
10
00
10
11
00
01
00
01
01
01
00
01
00
00
00
11
10
10
10
00
00
00
10
11
00
10
00
10
11
10
00
01
00
00
01
01
10
01
10
11
10
01
00
01
00
11
10
01
00
10
11
11
10
00
00
10
00
01
00
11
10
00
01
00
11
11
01
00
00
11
11
00
00
00
11
00
00
10
00
10
00
00
01
00
10
01
10
00
00
10
10
11
10
00
10
10
00
00
11
00
00
00
00
10
10
00
10
00
11
10
10
01
01
11
00
11
00
00
11
10
10
00
00
10
00
10
01
01
11
01
00
10
01
00
11
11
01
10
10
01
11
00
01
11
10
10
00
00
10
00
00
00
01
11
10
10
01
00
01
00
10
10
10
00
00
11
10
01
00
01
10
01
10
10
10
00
11
10
00
00
00
11
11
01
00
10
01
11
00
10
10
00
00
10
10
00
10
10
00
00
10
00
10
11
10
00
00
10
00
10
01
01
11
00
01
10
00
00
00
10
11
00
00
00
10
10
10
10
10
10
00
00
10
10
00
00
11
10
01
10
10
00
00
10
11
11
00
01
01
01
10
10
11
11
01
01
00
11
10
00
00
00
10
01
00
10
11
10
00
00
01
01
10
11
00
10
11
11
00
00
10
10
10
01
00
10
00
00
10
11
00
01
10
11
00
01
01
10
00
00
00
11
01
00
10
00
01
01
00
10
10
11
00
00
00
01
00
11
00
10
11
01
01
11
10
00
00
00
00
10
10
00
00
00
10
00
00
01
00
10
10
10
11
10
00
00
00
10
11
10
11
10
10
00
11
10
11
10
00
00
00
00
00
10
10
10
11
00
01
00
11
00
11
10
00
00
10
10
01
11
00
00
01
11
01
01
10
11
10
10
00
00
01
10
11
11
10
01
00
00
10
00
00
01
11
10
11
10
01
10
00
01
00
10
10
11
00
10
11
10
10
10
10
11
00
00
01
10
10
00
00
00
01
11
11
00
00
11
10
00
00
00
00
10
00
11
10
00
00
01
01
00
01
10
00
00
00
00
10
10
01
10
10
10
00
00
11
11
00
11
11
00
10
00
01
11
00
11
11
11
10
00
11
01
11
01
10
11
00
00
10
10
00
01
10
10
10
00
10
10
00
00
11
10
00
10
00
00
10
10
01
10
10
00
01
10
01
11
10
00
00
10
11
00
00
00
00
00
11
00
10
11
10
01
10
01
10
10
00
10
00
00
11
10
01
00
01
10
10
00
10
11
11
01
00
11
00
10
10
10
11
01
10
10
11
01
00
10
00
01
01
00
11
10
00
00
01
00
01
11
00
11
10
10
10
10
00
10
11
00
10
01
00
00
10
01
01
00
10
10
10
10
01
01
00
10
01
11
10
11
10
10
01
00
00
01
10
11
00
00
00
10
00
00
11
10
01
11
00
10
00
11
00
10
10
10
10
00
10
10
00
00
10
10
10
00
11
00
00
01
11
11
10
01
00
01
00
11
00
00
10
10
10
01
01
10
01
00
10
01
10
11
00
00
11
10
10
11
00
00
00
01
11
10
11
01
11
01
10
00
00
10
10
00
00
10
10
00
10
10
10
10
00
01
00
00
10
01
00
00
10
10
01
00
11
00
01
10
10
00
11
10
11
00
01
10
01
01
01
01
10
11
00
00
11
10
00
00
11
11
01
10
10
10
10
00
00
10
00
00
00
00
01
11
10
00
10
00
10
00
00
11
00
10
11
11
10
10
10
00
11
00
00
00
10
00
01
10
01
01
10
10
10
11
00
00
11
10
00
00
10
10
11
10
01
00
00
10
10
00
01
11
00
11
00
10
10
10
11
00
01
10
10
01
00
00
01
10
01
00
10
10
11
01
01
01
10
11
00
00
00
00
01
10
11
00
00
11
11
11
10
00
11
10
00
00
00
10
10
00
00
00
10
10
01
10
00
00
00
10
11
01
01
01
10
11
10
00
00
01
11
11
00
01
10
00
11
01
00
11
10
00
10
01
00
10
10
00
01
01
01
00
10
00
00
10
10
11
11
01
00
00
00
00
10
11
11
01
00
11
00
00
00
11
10
10
01
00
00
10
00
00
10
00
00
10
00
10
10
00
00
10
01
00
10
10
01
01
00
10
00
11
10
00
00
10
01
00
01
10
11
10
11
01
10
00
00
01
11
01
00
00
11
01
11
00
10
10
00
10
10
00
01
10
00
00
10
10
10
10
10
01
11
10
01
00
01
00
10
00
10
10
00
11
11
10
10
10
11
11
10
01
10
10
00
11
10
11
00
00
00
01
10
10
00
01
00
11
10
00
11
11
00
10
10
00
00
01
11
11
00
00
00
00
11
10
10
00
11
00
10
10
10
10
01
10
00
00
10
00
01
10
10
10
00
10
10
11
00
11
11
10
00
01
00
10
10
11
00
00
11
10
00
00
00
00
00
10
10
00
10
01
10
11
00
11
01
00
10
00
10
00
10
10
11
01
00
11
01
01
10
10
11
10
00
00
01
01
11
10
11
10
00
10
01
11
10
10
10
10
00
10
01
00
10
11
01
01
11
00
00
10
01
00
00
11
10
00
11
00
11
00
10
01
01
00
00
10
11
00
00
10
00
10
11
01
00
01
01
10
01
00
01
01
01
00
11
00
10
00
00
00
10
10
01
10
10
00
01
11
10
10
11
10
00
10
00
01
00
10
00
10
00
00
10
01
10
10
00
10
01
00
01
00
10
10
11
11
00
10
11
10
00
10
00
11
11
01
10
11
11
10
10
00
00
10
10
11
10
00
10
01
00
10
10
01
00
01
00
10
10
00
11
10
11
01
10
10
01
10
11
00
00
00
00
00
10
10
10
00
10
00
10
00
00
10
00
11
11
10
11
11
10
01
10
01
00
00
00
10
10
10
01
01
01
10
00
00
11
10
10
00
00
11
00
00
10
11
00
00
10
10
10
10
10
11
00
00
00
10
00
01
00
01
10
10
01
00
10
11
00
00
10
10
10
10
10
00
00
10
11
00
00
00
00
10
00
10
11
01
11
01
10
00
10
11
01
11
10
00
01
10
11
00
11
01
10
00
00
10
10
01
00
10
00
10
11
01
01
10
10
01
11
00
10
00
01
01
11
11
00
00
10
01
10
00
00
10
10
10
01
00
10
10
11
01
10
00
10
00
10
01
00
11
00
00
00
00
11
10
01
00
10
01
11
11
11
11
00
00
10
01
10
11
00
01
00
01
00
10
10
00
10
11
00
10
01
00
00
10
10
10
00
00
10
11
01
10
11
00
00
10
10
00
11
11
00
10
01
11
00
00
10
10
00
10
01
01
11
01
10
10
00
10
10
00
00
10
11
10
00
10
00
00
11
01
11
00
00
10
10
10
00
10
11
00
01
01
10
00
10
01
01
00
10
11
10
11
11
10
01
10
10
00
10
00
01
11
10
10
11
00
11
11
00
10
00
00
11
01
01
11
11
00
10
01
10
00
10
10
00
00
00
10
10
10
10
00
00
10
01
11
00
10
10
00
01
00
11
00
00
10
11
10
11
01
00
10
01
10
00
10
01
01
00
01
10
01
01
11
01
11
10
00
00
10
11
01
00
10
00
01
11
00
00
00
10
10
01
10
11
11
10
01
10
00
10
00
10
10
01
01
00
11
00
10
00
11
10
00
00
00
01
01
10
11
11
00
01
00
01
10
00
01
10
10
01
10
10
11
00
00
10
11
01
00
11
01
10
00
01
11
10
11
10
11
00
00
00
10
00
00
00
11
00
01
00
01
10
00
10
10
00
00
00
10
00
00
10
11
11
10
01
01
01
00
11
00
10
00
01
11
00
11
11
10
00
10
00
00
10
10
01
00
10
11
01
01
10
10
10
10
10
10
01
10
10
10
10
11
01
11
11
00
00
10
00
00
11
10
00
11
10
01
10
01
10
10
10
11
01
11
10
00
11
00
00
01
01
10
11
11
00
10
01
10
10
10
01
00
00
10
01
10
00
10
10
01
10
00
00
01
00
10
10
10
10
10
11
00
00
10
00
10
10
11
10
00
01
00
11
11
00
00
11
01
00
10
10
00
00
11
10
10
00
10
00
10
00
00
10
10
11
00
00
10
00
10
11
00
00
01
01
10
00
10
11
00
11
00
10
11
11
10
10
11
00
10
00
10
00
00
11
00
11
10
10
10
11
10
10
01
00
11
11
10
00
10
00
11
10
01
01
10
10
01
00
10
00
00
00
00
10
10
00
10
00
10
01
10
10
10
00
11
10
01
01
10
00
00
11
00
00
11
10
00
00
01
10
10
00
10
10
00
01
00
00
01
01
10
10
10
10
11
01
10
10
11
00
00
10
00
11
10
10
00
01
10
01
10
00
01
10
10
00
00
10
10
10
01
10
11
11
01
00
11
11
00
00
00
01
10
11
01
10
10
00
10
10
10
00
00
10
11
10
10
00
00
10
11
00
10
00
10
00
10
00
01
00
01
11
11
00
00
10
00
01
11
00
01
01
01
00
00
01
10
11
10
11
00
00
10
10
00
00
00
01
00
10
10
00
00
01
00
11
10
00
00
01
11
01
10
11
00
00
00
01
10
11
00
00
00
10
11
01
00
11
11
01
10
00
00
10
00
10
10
00
00
11
10
01
11
10
00
01
11
00
11
11
00
10
01
11
01
00
10
11
00
00
10
01
00
10
11
00
10
01
11
00
00
10
00
00
01
00
11
10
00
11
11
11
01
00
10
10
11
00
00
11
11
11
11
01
00
10
10
00
10
10
00
00
10
00
10
11
00
10
10
11
10
10
00
01
00
00
10
01
00
11
10
10
10
01
11
10
00
01
10
10
10
01
10
01
10
11
10
10
00
10
11
00
11
11
01
10
00
10
01
10
00
01
11
10
11
01
00
10
00
10
10
00
01
10
00
10
11
01
10
10
11
10
10
00
01
00
11
00
00
11
00
00
11
10
01
10
11
10
10
11
01
10
11
00
01
10
00
00
10
10
00
10
11
11
11
01
01
00
10
10
00
10
11
00
00
10
01
10
10
01
00
10
00
01
00
10
10
10
11
11
00
00
01
10
11
10
10
00
10
01
00
10
01
00
10
00
10
10
10
10
01
10
10
11
11
10
11
00
00
00
01
00
11
00
00
11
00
10
10
00
00
10
01
01
10
10
11
10
11
10
01
00
10
10
10
10
10
00
10
00
00
10
11
01
00
00
10
10
00
10
11
00
00
10
00
01
10
10
01
10
01
10
00
10
00
00
11
01
00
00
01
01
11
10
00
00
00
01
11
10
11
10
11
10
10
00
01
00
10
11
00
10
00
00
10
10
01
00
11
01
10
10
10
10
11
11
01
01
10
10
01
00
00
10
01
00
00
11
10
10
10
00
00
00
10
01
01
10
11
01
10
00
00
10
10
00
00
01
00
11
10
11
11
01
10
10
11
01
11
10
00
10
00
00
10
10
00
00
01
00
10
00
01
00
10
10
10
10
01
11
11
00
11
00
00
00
10
01
01
01
11
00
00
11
10
10
01
11
10
00
00
10
00
00
10
00
10
10
10
01
00
11
00
01
10
00
00
11
10
10
00
00
01
10
10
01
00
11
00
00
11
11
11
10
00
00
00
11
10
10
00
01
00
10
10
11
10
01
11
00
10
10
11
00
11
11
10
01
00
01
00
11
10
10
11
00
10
00
00
10
11
00
00
11
10
01
10
01
00
11
11
10
00
00
01
10
10
00
00
01
00
01
11
00
00
10
00
00
00
00
11
01
10
10
11
10
00
00
00
01
10
10
11
10
01
00
00
10
00
00
11
11
00
00
10
01
00
00
10
00
00
11
10
01
00
00
10
11
10
10
10
00
00
10
10
10
10
00
00
11
10
01
00
00
11
00
11
10
00
00
10
10
11
00
10
01
10
00
00
01
00
00
10
10
10
00
00
00
00
01
01
11
11
11
10
11
11
11
01
00
10
11
10
11
11
00
01
10
00
00
00
11
00
11
10
01
10
11
00
00
00
10
10
00
00
00
10
10
10
00
10
11
01
00
11
10
10
01
00
00
11
00
01
01
00
01
10
11
11
01
00
10
11
01
01
11
00
01
10
10
00
10
10
00
00
10
00
00
10
00
11
10
10
00
01
00
00
01
01
00
11
10
00
00
11
10
00
01
11
10
00
10
00
10
00
01
11
01
00
11
00
00
10
00
10
11
10
00
10
10
00
10
01
00
10
11
10
01
10
00
00
00
01
10
00
11
11
00
00
01
10
11
11
00
10
11
00
00
10
10
00
01
11
10
10
11
11
00
00
00
01
00
10
11
10
00
00
00
11
11
10
01
11
01
11
01
00
10
00
00
10
01
01
10
11
01
00
00
11
10
10
10
10
01
00
10
00
10
01
00
00
10
00
10
10
11
01
10
10
10
00
10
11
10
01
00
11
01
00
00
10
10
01
00
00
10
00
01
11
00
00
10
00
00
11
10
01
00
10
01
11
11
01
01
00
10
10
10
00
11
10
11
00
00
00
00
11
01
00
10
10
11
00
11
11
10
11
00
01
00
10
00
01
10
10
11
11
01
10
01
00
01
10
10
00
00
10
11
10
00
00
11
11
11
10
00
00
11
10
01
01
11
00
01
10
00
11
10
10
10
10
00
01
00
00
00
10
10
11
11
00
10
10
10
10
11
10
00
01
10
10
00
00
00
00
10
11
00
00
01
10
11
01
10
10
10
11
00
10
00
00
10
10
00
00
10
10
10
11
10
01
10
00
00
10
00
11
10
00
00
10
11
00
01
10
11
10
00
10
10
00
01
00
10
10
01
00
00
11
10
10
00
10
00
10
10
01
10
11
10
01
11
01
01
01
11
11
01
00
00
11
11
00
00
10
11
10
01
01
00
00
01
10
01
00
11
00
10
11
01
11
00
10
10
11
00
00
00
11
10
01
10
00
10
01
11
00
01
11
00
00
11
10
11
10
00
00
00
10
00
00
10
10
00
11
11
00
11
10
00
01
01
10
10
00
01
00
10
10
00
00
10
10
00
00
00
01
11
10
10
01
00
01
00
00
00
11
11
10
00
00
11
00
00
00
00
00
00
00
01
01
11
00
10
11
10
00
00
10
11
11
11
10
00
10
11
11
01
01
01
10
10
00
11
01
01
10
10
10
00
00
00
01
10
00
10
10
00
11
00
00
01
10
00
01
10
11
00
00
01
10
00
11
10
00
10
11
01
10
10
00
10
11
10
01
01
10
00
10
00
00
00
10
10
10
10
00
00
01
10
01
10
01
01
10
00
00
10
11
10
01
10
10
00
10
10
00
00
10
11
00
01
00
00
00
10
10
00
10
10
11
01
10
00
10
00
11
00
00
10
10
10
01
00
01
00
10
00
10
00
10
11
01
11
10
01
01
11
10
00
00
10
00
10
10
10
10
00
00
10
10
00
11
10
11
01
10
00
00
11
10
00
10
10
11
01
00
10
00
10
00
10
10
00
01
00
11
00
00
00
10
11
00
00
01
10
10
11
10
00
00
10
11
00
01
10
01
00
11
00
01
10
11
00
10
10
00
01
10
10
01
10
11
11
00
00
00
11
01
00
00
11
01
00
10
10
10
01
10
01
10
11
01
01
00
01
11
01
10
11
10
01
10
11
00
01
00
10
01
01
01
00
10
10
00
00
11
10
00
00
01
10
00
11
00
00
00
10
11
10
11
10
10
00
11
01
00
00
11
11
11
10
00
11
11
10
00
00
11
10
00
00
00
10
00
10
00
10
11
00
10
01
01
01
01
01
01
00
01
00
11
00
01
10
11
00
00
10
11
10
11
00
00
01
10
00
11
10
00
10
00
00
11
00
00
00
11
10
01
00
00
10
10
11
00
10
11
11
10
10
01
00
00
01
10
01
01
11
11
10
01
01
11
10
01
01
10
11
00
00
10
10
00
00
11
11
10
00
00
00
00
00
10
10
10
00
10
01
00
01
11
10
00
00
10
01
11
10
00
00
01
10
00
10
11
00
11
11
10
10
11
11
01
11
10
01
10
10
00
10
10
00
00
10
01
10
00
10
10
01
01
10
10
10
10
10
10
01
10
00
00
10
00
10
01
01
01
00
10
01
00
11
01
10
11
11
01
00
11
10
10
00
00
01
10
00
00
01
10
11
10
11
00
01
10
00
10
11
00
10
01
00
11
10
10
01
11
01
00
10
00
10
10
00
10
10
00
00
00
00
10
10
00
00
00
01
11
01
00
10
00
10
10
11
00
00
10
00
10
00
00
01
00
10
01
01
01
10
10
10
10
00
10
00
01
10
10
11
10
10
10
00
01
00
10
10
00
00
10
01
00
00
10
10
11
00
00
10
00
10
11
10
01
00
11
00
01
01
11
00
00
00
10
10
11
01
00
01
00
10
00
10
00
10
10
10
11
00
00
10
01
01
10
00
11
11
00
00
01
11
00
00
10
11
00
10
00
00
00
10
11
00
10
10
00
10
00
00
01
10
00
01
01
10
01
10
10
00
10
00
01
10
11
00
11
00
11
11
00
00
10
00
00
11
10
01
10
10
10
00
11
10
10
00
00
10
01
11
10
11
01
00
00
10
00
00
00
11
00
10
01
10
11
10
10
11
00
00
10
00
00
00
10
00
00
10
10
00
11
11
01
10
00
00
10
10
00
00
11
10
00
11
10
00
11
00
01
11
10
10
01
00
00
10
10
10
01
00
01
00
01
00
10
10
10
01
10
00
00
00
01
11
11
10
01
00
11
10
01
01
11
10
01
10
10
10
01
00
11
00
10
00
00
10
01
11
00
10
00
11
00
01
01
10
10
10
00
00
00
10
10
00
00
00
10
00
01
10
11
00
00
11
11
11
00
00
11
10
01
01
10
10
10
10
10
10
00
00
10
10
10
10
01
00
10
11
10
11
11
10
01
01
00
00
10
10
10
00
01
10
01
10
10
00
00
00
11
01
00
10
10
00
00
00
11
00
01
11
00
10
01
10
01
00
10
00
10
00
10
10
00
10
01
00
11
10
00
10
10
00
10
10
00
11
00
10
01
00
00
01
00
10
10
10
01
00
00
00
00
10
00
00
11
11
00
10
10
01
00
10
10
10
00
01
00
11
10
00
01
10
01
00
00
11
00
10
10
11
00
00
00
11
00
01
10
10
01
11
10
00
10
11
10
10
00
00
11
01
01
00
10
00
10
10
10
01
11
10
00
00
11
10
11
11
01
00
00
00
00
01
10
00
01
11
01
10
00
11
00
00
10
10
01
00
01
10
01
00
10
01
10
00
00
10
10
00
00
11
00
10
00
10
01
00
01
11
01
00
00
10
11
10
00
10
11
00
10
10
10
10
00
00
00
10
11
10
01
00
00
00
00
10
10
10
00
10
00
00
10
01
00
00
00
10
00
01
10
10
10
00
00
10
11
00
01
10
01
00
00
01
10
01
10
10
00
01
00
10
10
01
11
00
00
10
01
10
10
00
01
00
10
10
10
10
00
10
00
10
10
01
00
01
11
11
10
01
10
10
10
00
00
10
11
00
01
11
00
01
00
11
00
11
01
10
10
00
01
11
00
01
11
10
00
11
11
00
00
10
10
10
00
01
10
10
11
01
01
00
00
00
00
00
10
10
00
10
10
10
10
10
00
10
10
00
10
00
00
00
10
11
10
00
00
00
00
10
11
00
00
10
01
11
00
01
10
10
10
00
01
10
01
01
10
11
10
10
11
00
00
01
10
10
10
00
00
10
01
10
01
01
10
00
00
11
01
01
10
10
10
00
00
00
10
11
01
11
01
00
00
11
00
00
01
10
10
11
01
00
00
11
00
00
10
11
10
10
00
01
10
10
01
01
01
01
00
10
10
10
00
00
11
11
01
00
01
00
01
10
10
01
00
10
10
01
01
00
10
10
00
00
11
00
00
00
01
10
01
00
11
00
11
10
10
10
01
01
10
10
00
01
00
10
10
10
01
01
11
10
01
00
00
10
01
10
10
01
00
11
10
10
00
11
10
00
10
00
01
11
11
01
01
00
00
10
10
10
01
11
10
11
01
00
10
00
11
00
11
11
01
10
11
00
00
10
00
10
00
00
11
10
11
10
01
00
10
10
11
10
10
01
00
10
10
00
00
11
00
01
11
11
00
10
01
10
00
00
10
00
00
10
10
10
10
10
11
10
10
00
00
11
01
00
11
11
00
10
00
00
10
10
00
01
10
10
00
01
01
00
00
10
00
11
10
11
00
10
10
11
10
10
11
00
00
00
10
01
11
01
00
10
11
10
10
01
10
11
11
01
00
00
10
10
11
11
01
00
01
11
00
10
11
00
00
10
10
01
01
00
10
00
10
11
00
00
00
11
10
11
00
10
00
00
10
00
00
00
01
11
10
00
11
10
00
01
11
11
10
00
00
10
10
11
00
00
10
11
11
10
11
00
11
10
11
10
01
11
11
00
11
10
00
00
10
00
10
10
00
10
00
00
00
10
10
10
01
00
01
11
10
10
11
00
00
01
10
10
11
10
10
10
10
01
00
10
10
00
01
01
01
10
10
00
10
01
11
00
00
11
11
10
01
00
00
10
10
00
00
00
11
10
01
10
00
11
10
00
01
01
11
10
00
11
01
00
00
10
11
00
00
10
11
00
01
10
11
00
00
10
00
10
00
00
11
10
00
10
01
00
10
00
10
00
01
00
01
10
10
00
11
11
01
10
01
10
10
11
00
10
11
10
01
00
00
10
00
01
10
10
00
10
10
10
00
00
01
00
10
10
00
00
10
10
11
11
00
10
11
10
01
10
10
01
00
10
01
00
10
11
10
11
01
00
01
10
10
01
10
00
00
10
10
00
10
11
01
11
00
00
11
00
00
10
00
01
10
01
10
10
11
10
01
10
10
00
01
11
10
01
10
10
10
10
00
10
10
00
10
00
11
10
11
10
01
11
10
00
10
00
00
00
10
11
10
10
11
00
11
10
11
00
01
11
00
00
10
00
11
10
00
10
01
10
10
10
00
01
10
10
10
00
00
10
00
00
10
00
10
00
10
10
00
00
00
10
00
00
10
11
00
10
00
00
10
10
01
00
00
00
00
00
00
11
00
10
11
00
00
01
10
10
01
01
10
11
01
01
00
01
11
10
11
01
00
10
10
00
00
01
00
10
01
10
01
11
11
01
10
00
10
00
00
10
10
00
11
10
01
00
10
10
11
10
11
00
00
01
00
00
00
10
10
10
11
00
00
10
11
00
11
11
00
00
11
00
11
01
00
00
11
11
11
00
00
00
10
01
01
11
11
10
01
11
00
01
11
01
11
10
01
10
10
01
10
11
00
10
11
11
00
00
10
10
11
00
01
01
00
10
01
10
00
00
11
10
10
10
01
10
01
10
00
11
01
00
00
00
10
10
11
00
00
00
00
00
10
01
10
10
11
01
01
10
10
00
10
00
10
11
00
10
11
00
01
10
00
11
00
10
10
11
00
00
10
00
11
01
00
11
00
01
01
00
11
11
11
00
10
11
10
00
11
00
01
10
00
01
10
11
11
01
00
11
01
01
10
00
10
11
10
00
01
10
00
01
00
11
00
00
10
00
00
10
10
10
11
01
11
00
11
11
01
01
00
10
11
01
00
01
10
11
11
11
01
00
00
00
11
11
00
01
10
00
00
00
00
10
10
00
10
11
11
01
00
10
10
01
01
01
10
10
11
10
00
10
00
00
10
10
10
00
10
11
00
00
01
10
10
00
00
10
00
00
10
11
00
10
01
01
10
11
01
10
00
01
10
01
10
10
11
01
00
11
01
00
11
00
11
10
10
01
00
10
10
10
00
00
10
10
10
00
10
00
11
10
01
11
10
01
10
01
10
00
00
00
11
10
01
00
00
01
11
10
11
11
01
11
11
10
01
01
01
11
00
10
00
00
11
11
00
00
10
10
10
01
10
10
00
00
11
10
11
11
00
01
00
01
10
00
00
11
01
00
10
10
00
00
10
11
01
01
01
10
10
00
11
01
11
11
00
00
01
00
10
00
00
10
10
11
00
10
00
11
10
10
10
00
10
00
00
11
10
00
01
11
10
01
10
11
00
00
00
10
10
00
10
00
00
10
11
10
10
00
10
11
00
00
00
00
10
01
00
10
00
01
10
10
00
00
01
10
10
10
01
00
00
00
11
00
00
00
10
10
10
00
00
10
00
00
00
01
10
11
11
01
00
01
11
00
10
11
00
10
00
00
00
00
00
11
10
01
11
00
00
10
10
00
10
01
10
10
00
10
00
00
01
10
00
11
00
00
00
11
11
00
00
10
10
10
10
00
01
10
10
01
10
10
00
10
01
11
10
00
01
10
01
00
00
10
11
01
10
10
01
01
01
11
11
01
01
10
10
00
01
10
11
01
01
10
10
11
11
00
10
10
00
01
10
11
10
00
01
00
10
01
00
10
10
00
11
11
01
10
01
00
01
00
10
11
00
10
01
11
00
01
11
11
10
00
01
00
11
10
10
01
11
11
10
00
00
10
00
10
00
01
10
10
10
11
01
10
00
01
11
01
00
11
00
01
11
10
01
01
10
10
10
01
00
00
10
01
00
01
10
10
11
00
11
10
00
00
01
10
00
00
11
00
11
11
10
00
10
10
00
01
10
01
01
01
11
00
00
10
10
00
01
11
10
10
10
01
00
01
00
10
10
10
00
10
11
00
10
10
00
00
01
00
11
11
00
01
00
10
00
00
11
10
00
00
00
10
10
10
10
10
10
00
00
00
00
01
00
10
00
11
10
10
11
10
01
00
10
10
11
00
11
11
00
00
10
01
00
00
10
11
11
00
11
10
00
00
01
00
11
00
00
10
10
10
10
00
01
10
10
00
00
01
01
10
00
10
10
10
10
00
10
11
00
11
01
00
00
11
00
00
00
11
11
10
01
00
11
00
10
10
01
10
00
01
10
01
00
01
11
01
01
10
01
01
00
00
10
10
00
01
10
00
00
10
01
10
01
00
00
00
10
10
00
01
10
11
01
10
00
01
10
00
00
01
00
10
10
00
01
11
10
10
00
00
11
00
11
00
00
00
10
11
01
10
10
10
01
10
10
00
10
11
00
10
00
01
00
10
11
10
00
00
10
10
01
10
01
00
00
01
10
00
10
11
00
00
01
00
01
00
01
11
10
10
10
01
00
10
10
00
10
10
00
00
11
10
01
00
11
10
01
00
00
10
10
00
01
10
10
00
01
11
01
10
10
10
00
00
10
10
00
00
10
00
10
10
00
10
11
00
11
00
11
10
00
00
10
00
01
10
00
10
00
00
10
01
11
00
11
10
01
10
10
10
10
00
00
00
10
10
00
10
10
00
01
01
10
11
01
00
10
00
10
01
00
10
10
10
10
00
11
00
00
10
10
01
10
10
00
01
10
10
11
01
11
11
01
01
10
11
01
01
00
10
10
00
01
11
01
00
11
10
10
00
10
11
00
10
10
10
00
01
01
10
00
01
10
10
00
10
10
01
00
00
00
00
01
01
00
10
10
00
11
10
01
00
11
00
00
10
10
01
10
01
00
10
01
01
10
00
00
10
10
10
11
10
10
10
00
10
00
01
11
10
11
01
10
10
10
01
10
00
01
10
10
11
00
00
10
01
10
11
01
11
00
01
00
01
10
10
00
10
01
01
10
10
00
10
10
11
10
10
00
01
11
01
00
11
10
10
00
01
01
10
01
00
00
10
10
00
10
00
01
11
10
10
11
00
10
11
01
11
10
01
00
10
10
00
00
11
11
11
01
10
01
01
11
10
10
00
00
10
10
11
00
01
00
01
10
10
11
00
10
10
11
10
10
00
00
11
10
00
11
10
00
10
10
11
00
10
10
11
00
00
01
01
00
10
00
00
00
11
11
10
00
01
10
10
00
00
00
10
00
00
10
00
11
00
00
11
10
10
01
10
11
10
01
00
10
00
01
10
10
01
00
11
01
01
11
11
10
11
00
10
10
01
00
10
01
11
01
00
00
00
00
10
01
10
11
00
10
10
00
01
11
10
01
00
11
00
01
10
10
01
00
00
00
00
10
10
01
01
11
10
10
11
01
00
10
10
00
10
00
01
10
10
00
00
11
11
00
11
11
10
01
01
10
10
11
00
00
10
10
11
10
00
01
00
00
10
10
10
00
01
11
01
11
00
01
11
11
01
01
00
10
10
01
00
10
10
01
10
00
01
10
10
00
11
10
10
11
10
00
00
00
10
00
00
11
00
10
00
00
00
00
01
11
11
00
00
11
10
00
00
00
10
00
00
01
00
10
10
01
01
10
01
11
00
00
11
01
11
10
00
10
10
00
01
00
11
10
01
00
00
10
10
10
00
10
10
10
10
10
10
01
01
00
01
00
10
00
10
10
00
10
00
00
10
10
10
01
10
10
00
00
01
00
11
01
11
10
10
10
10
01
10
00
00
10
10
10
10
00
10
11
11
00
00
11
10
11
11
10
01
01
10
00
00
10
01
01
10
00
11
01
00
11
10
00
00
00
00
00
11
11
00
01
00
10
11
00
11
11
01
01
10
01
11
10
01
00
10
00
00
10
10
00
01
00
00
10
00
10
10
01
01
01
11
00
10
00
00
10
11
01
01
00
10
11
00
10
00
00
00
11
10
01
00
11
00
11
01
10
10
01
01
10
10
11
10
10
01
00
00
00
10
10
01
00
00
00
00
10
10
10
11
11
00
01
11
00
10
00
00
11
00
00
10
10
10
00
10
11
00
10
10
01
01
10
00
00
10
11
10
01
01
10
10
10
01
10
10
00
00
11
10
10
01
01
11
10
10
11
10
00
10
00
00
10
00
01
10
00
10
10
00
01
01
00
01
00
00
11
10
10
00
00
11
10
01
10
10
00
00
10
11
00
00
00
10
00
10
11
10
00
11
00
00
00
00
11
00
01
10
10
10
00
01
10
01
10
10
00
00
11
10
01
10
01
10
10
10
01
10
10
01
00
10
01
11
11
00
00
10
10
10
10
00
00
11
10
00
00
01
10
10
10
00
10
10
00
00
10
00
00
00
01
11
01
10
00
10
10
00
10
10
10
10
00
01
10
01
10
10
00
00
10
00
00
10
00
00
11
11
01
00
01
00
00
10
01
10
00
10
11
10
00
00
11
00
00
01
11
10
10
10
00
01
10
10
00
00
10
01
10
11
01
11
01
01
10
00
00
11
10
01
11
11
10
10
01
00
01
11
10
00
01
10
10
01
10
11
00
10
10
11
10
11
10
11
00
10
10
00
11
01
11
11
10
11
00
11
00
10
11
00
01
10
10
00
00
00
10
10
00
01
00
11
01
10
01
11
11
10
10
01
11
01
00
00
11
00
01
10
00
00
01
10
00
10
11
00
10
00
01
11
01
01
11
10
11
11
00
00
01
01
00
10
10
10
01
00
10
00
01
11
10
10
10
00
01
10
01
01
10
10
01
00
10
11
01
00
01
11
11
10
00
00
10
00
10
11
00
00
11
11
00
10
10
00
00
11
01
10
00
10
10
01
11
00
00
10
00
11
11
01
01
10
10
10
00
11
11
00
00
10
11
00
11
11
11
10
01
01
00
01
10
10
00
10
00
00
01
10
00
10
10
00
10
00
01
01
00
11
11
11
01
10
10
10
00
00
01
11
00
10
10
00
10
00
10
00
00
10
00
00
00
11
10
10
11
10
00
10
10
00
11
00
01
10
10
10
10
11
11
01
11
10
11
10
10
00
00
00
01
11
11
10
10
01
10
11
10
10
00
10
11
10
10
01
11
01
11
11
00
10
10
10
10
00
10
00
10
11
00
00
10
10
11
00
11
01
00
00
00
11
10
11
00
10
00
00
00
00
11
10
11
00
11
01
01
10
11
01
00
10
11
10
01
01
01
00
11
00
10
10
00
00
10
10
00
00
00
01
10
10
11
10
00
00
01
11
10
10
00
01
10
00
10
00
01
01
10
00
00
10
01
00
01
01
10
11
10
10
00
00
10
00
00
10
11
01
00
10
10
10
00
10
00
10
00
00
01
00
11
00
11
00
00
01
11
00
10
10
00
10
10
11
00
00
11
00
00
10
10
10
10
01
00
10
10
10
10
01
10
10
11
11
00
11
10
01
01
10
00
01
10
10
10
00
00
00
00
11
00
01
11
10
00
10
10
00
00
11
10
11
00
01
00
01
01
11
01
00
01
00
11
11
00
01
10
11
00
10
10
01
00
11
11
10
00
00
10
11
11
00
00
01
10
11
10
10
01
01
10
10
11
00
01
10
01
00
11
01
10
10
00
10
00
01
10
11
00
00
10
10
11
00
01
10
10
11
10
00
01
01
11
10
00
10
10
00
01
10
01
11
11
00
11
10
00
00
00
10
11
11
10
01
00
01
10
00
10
10
01
01
10
10
10
00
10
00
00
10
10
01
11
10
00
00
00
11
00
10
10
01
00
10
10
10
01
01
10
01
11
10
10
00
00
10
11
00
11
10
01
00
10
00
00
00
10
00
00
00
10
01
10
00
11
00
10
01
00
00
00
10
00
10
10
10
10
10
00
00
00
10
11
10
11
10
01
01
01
10
10
00
00
00
11
11
00
00
11
10
11
10
10
00
01
00
01
10
00
10
10
00
10
10
10
11
00
10
10
11
11
10
01
00
10
10
10
00
00
10
00
00
10
01
10
01
10
11
10
01
00
10
11
00
11
11
01
01
00
10
10
01
01
10
10
00
10
10
10
10
00
11
00
10
01
00
10
10
01
00
10
10
10
00
00
10
10
10
10
00
11
00
10
11
01
11
01
01
10
10
00
00
01
11
01
01
00
11
00
00
11
00
11
11
10
11
10
11
00
10
10
01
01
00
01
11
10
00
00
00
00
01
11
10
00
10
01
00
11
00
10
00
01
10
10
00
00
10
00
10
10
00
00
10
10
10
01
01
10
11
10
00
00
10
10
00
11
11
10
01
11
01
01
00
00
10
10
00
00
10
11
11
10
10
00
10
10
01
00
10
10
10
00
10
11
00
01
10
00
10
10
10
01
01
00
10
10
10
00
00
10
00
00
10
00
10
01
11
01
11
00
01
10
10
01
10
10
11
10
00
10
01
01
10
00
01
10
00
00
10
01
11
11
10
11
00
00
01
00
10
11
11
00
11
10
00
10
11
00
01
00
10
01
00
11
01
10
10
11
10
00
01
10
11
00
10
10
00
00
10
10
00
01
10
11
00
00
00
00
00
01
10
10
00
01
00
00
11
00
10
10
00
01
00
01
10
00
10
01
00
10
01
00
11
00
10
10
00
10
10
00
10
01
00
11
00
00
11
11
01
00
00
10
10
00
01
00
00
11
10
11
10
10
10
10
00
00
10
10
10
01
00
00
11
11
10
01
11
10
11
01
10
11
10
00
01
10
11
00
00
11
00
00
11
10
00
11
00
10
00
11
10
00
01
01
01
00
00
11
00
00
00
01
10
10
00
00
11
10
10
00
10
00
10
00
11
10
00
00
10
00
01
00
10
10
11
11
00
00
10
11
10
11
01
00
11
10
10
01
11
11
00
00
10
01
11
11
00
01
11
00
11
10
11
00
10
10
00
01
10
10
00
10
01
00
01
10
00
00
11
00
01
10
11
01
01
10
10
11
00
10
11
00
10
10
10
00
01
01
01
11
11
10
10
10
00
11
10
00
10
00
11
10
00
00
01
10
01
00
00
11
01
10
00
00
11
11
10
01
10
10
00
00
10
10
01
00
01
11
01
10
11
10
01
11
10
00
01
01
00
01
11
11
00
10
10
00
10
10
11
00
11
10
10
10
10
00
00
01
11
10
00
00
10
10
00
01
00
00
10
10
00
10
10
11
10
00
10
11
00
00
10
00
00
10
11
00
10
00
10
11
10
11
01
11
11
01
00
10
10
00
10
10
10
00
00
10
10
00
01
11
00
00
10
00
10
10
01
01
11
10
10
00
00
10
00
01
11
10
01
10
00
10
10
00
00
00
10
10
00
00
11
01
00
01
10
00
00
10
00
00
10
10
10
01
10
10
10
00
00
10
10
11
00
10
11
11
11
10
01
10
10
00
01
00
11
10
00
01
10
10
11
10
00
01
10
00
01
00
10
11
00
00
00
01
10
10
01
11
00
00
01
11
01
10
10
00
00
10
10
01
00
11
00
00
10
10
10
10
00
00
00
10
00
11
11
11
11
00
01
10
11
10
00
11
10
00
00
00
10
10
00
00
00
11
01
11
01
10
10
01
00
01
11
10
00
00
10
10
10
01
00
11
01
11
10
10
11
00
11
11
11
11
10
01
00
10
00
10
01
00
11
00
10
10
10
10
00
00
10
10
00
00
11
11
10
10
00
00
10
10
00
10
00
11
10
00
11
10
00
00
10
00
00
11
01
01
00
00
10
00
10
10
11
01
00
01
10
10
00
00
00
10
10
10
10
01
01
10
01
00
11
10
10
11
01
00
01
10
10
11
01
01
00
01
10
11
00
10
11
00
11
01
10
00
00
10
00
10
00
10
10
11
10
11
11
10
10
11
00
01
01
11
10
00
00
01
10
00
10
10
10
11
00
11
10
01
01
01
00
10
10
00
00
11
10
00
00
00
11
10
11
00
00
10
11
01
00
10
01
10
10
00
10
00
00
00
10
01
10
10
11
00
01
00
11
10
10
10
00
00
10
10
00
01
10
00
11
00
10
01
10
01
01
10
10
10
00
00
11
10
10
00
01
00
10
00
10
00
00
00
00
10
11
11
00
11
11
01
11
01
00
01
10
10
00
10
00
00
10
10
00
00
01
10
10
00
01
10
01
10
10
00
00
00
10
10
00
00
10
01
10
00
00
11
10
00
00
00
00
01
10
10
01
11
01
00
10
00
11
10
00
00
10
00
11
00
00
00
11
00
10
00
11
00
11
10
10
00
11
10
00
00
10
10
11
00
01
10
01
00
11
11
11
00
01
11
10
01
00
00
11
10
00
10
10
01
01
10
01
00
01
00
00
10
00
00
10
10
10
10
11
01
10
10
10
10
01
00
10
10
10
01
00
00
01
10
01
00
11
10
01
01
01
10
11
10
01
01
10
00
00
11
00
01
10
10
00
00
11
10
00
00
00
00
00
00
00
11
00
10
11
10
10
10
10
00
01
00
10
10
00
00
00
01
01
00
01
10
11
10
10
10
11
01
10
00
00
00
11
10
11
10
00
10
11
10
10
10
00
10
10
10
11
10
00
00
00
00
00
10
00
00
11
10
10
01
00
01
10
00
10
10
01
00
01
10
10
00
10
10
00
00
11
00
01
11
00
00
00
10
00
10
00
10
11
01
11
00
10
00
00
11
01
00
10
11
10
00
00
11
00
01
10
01
10
01
11
01
00
11
00
00
00
10
10
01
00
11
11
11
00
10
11
01
10
01
11
10
01
01
11
00
00
01
10
10
00
11
10
00
00
10
10
00
10
00
10
10
11
10
00
10
10
00
10
11
11
00
00
01
00
10
10
00
01
10
01
10
01
00
00
00
10
01
01
10
10
11
10
00
10
00
10
11
00
10
00
00
10
10
00
10
11
10
10
10
11
10
00
10
00
00
11
11
01
01
00
01
10
10
00
10
00
00
00
10
00
00
10
00
00
10
10
11
00
10
00
11
00
00
00
01
10
11
01
00
10
10
10
10
00
01
11
10
10
10
01
00
01
10
10
10
10
10
10
00
00
01
10
11
01
10
00
10
11
00
01
10
01
10
11
00
10
11
00
01
10
10
00
01
01
11
10
01
00
00
10
11
00
00
11
11
00
01
10
11
01
10
10
11
00
00
10
10
00
00
01
11
10
10
10
00
00
00
11
10
01
10
01
00
01
11
00
10
00
10
10
11
10
11
10
01
10
00
10
00
00
11
00
10
10
01
00
00
00
11
11
11
01
00
01
10
00
01
00
10
10
01
01
11
00
00
01
00
11
00
10
10
11
10
01
11
11
00
00
00
10
11
01
00
10
00
00
00
00
10
10
10
00
01
00
11
11
11
00
00
11
10
00
00
00
00
10
00
11
00
01
10
00
10
10
00
00
01
10
00
00
00
11
01
00
00
11
11
01
10
10
10
10
10
00
00
11
10
00
00
10
00
00
11
10
01
10
10
11
11
00
10
00
00
10
10
11
00
10
10
00
01
11
10
01
10
00
10
00
00
10
10
00
01
11
10
01
10
00
10
11
10
00
01
01
00
10
00
01
10
10
01
11
10
00
10
10
10
10
00
00
10
10
10
00
10
00
01
10
10
10
10
01
00
10
00
01
10
11
10
01
10
10
10
01
01
11
00
11
00
01
11
01
00
10
11
10
00
10
00
00
10
11
10
10
01
00
01
00
10
11
00
10
11
00
10
11
01
00
11
10
10
00
01
11
10
11
00
10
10
10
10
11
00
01
10
11
00
01
00
00
11
00
10
10
01
11
10
00
01
01
00
10
00
00
01
10
10
00
01
10
11
10
00
01
01
01
10
10
00
01
10
11
11
00
10
00
10
10
00
00
01
10
00
00
11
00
01
11
01
00
11
00
01
10
11
00
01
00
01
10
10
11
00
01
10
00
00
10
10
00
10
10
00
11
11
00
00
01
01
01
00
11
10
00
10
11
11
10
11
00
00
00
10
00
01
10
10
10
00
00
11
10
00
10
11
01
10
01
00
01
01
11
00
10
10
11
00
00
10
01
00
11
10
01
10
10
01
10
01
00
01
10
00
00
11
00
00
10
10
10
01
00
11
10
10
00
01
10
01
11
00
00
10
00
10
10
00
01
00
01
10
11
10
00
01
00
11
10
11
00
11
10
00
10
10
10
01
10
10
00
10
11
00
11
00
10
00
10
10
01
10
10
00
01
00
10
11
00
00
00
01
10
00
01
10
10
00
10
01
00
10
00
10
00
11
10
11
01
01
10
00
01
01
11
01
10
11
00
00
00
11
11
01
01
10
10
01
00
10
11
00
10
00
10
10
10
01
00
00
11
11
11
11
10
01
00
10
00
00
10
10
01
10
10
00
10
01
01
11
00
01
10
11
10
00
10
10
00
10
11
00
01
11
10
01
00
00
00
00
11
10
10
00
11
10
00
00
11
00
00
01
00
10
10
11
11
00
00
10
10
10
01
00
11
11
01
01
10
10
00
10
10
00
00
01
10
11
10
10
00
10
00
01
01
11
00
10
00
10
10
00
01
11
11
01
11
10
01
00
10
00
00
11
00
00
10
10
10
10
10
00
10
10
00
01
10
10
11
11
10
11
00
00
11
01
00
00
00
00
00
11
10
01
11
10
00
00
11
10
00
01
01
00
00
10
10
00
01
10
10
01
10
11
10
00
01
10
00
10
10
10
00
01
00
10
10
11
10
11
00
01
00
00
11
11
10
11
00
00
10
10
00
00
01
01
11
10
00
01
10
01
01
00
10
10
10
10
10
01
10
01
10
10
10
11
00
10
00
00
10
01
00
01
10
10
10
00
01
10
11
01
10
00
11
01
10
10
00
10
01
10
11
00
01
10
00
10
00
11
10
01
00
00
00
11
11
11
00
00
10
10
10
11
10
00
00
11
10
01
11
01
00
00
00
00
10
11
00
10
11
00
10
10
00
10
10
00
00
10
00
01
10
01
10
00
00
00
11
11
00
11
10
00
10
10
10
01
10
10
10
01
00
00
10
01
01
10
00
10
10
10
10
01
10
10
11
00
10
10
00
11
01
00
00
10
10
10
01
01
11
10
00
11
10
00
11
00
01
11
10
01
10
11
10
10
00
01
10
01
00
10
11
01
00
10
11
00
11
10
00
01
01
01
01
00
10
10
10
00
01
10
01
10
10
01
00
10
11
10
01
11
01
01
01
10
10
11
01
01
00
11
10
00
00
10
00
01
00
10
11
10
00
00
00
00
00
01
00
01
00
10
00
10
00
00
00
11
00
10
11
10
11
10
11
00
01
00
10
10
00
00
00
00
11
00
11
10
10
00
10
00
00
10
11
01
00
11
10
01
00
00
10
11
00
00
10
11
10
00
10
00
00
10
10
01
00
10
00
00
11
10
10
01
00
11
01
00
11
00
11
00
00
10
00
00
10
00
10
10
00
10
10
11
10
01
00
00
10
11
00
10
01
00
00
10
01
10
01
00
10
00
10
00
10
00
00
00
00
11
01
00
10
10
10
10
11
10
10
10
01
00
10
01
00
11
00
11
00
00
10
00
10
01
11
11
10
11
01
00
01
00
01
01
00
10
00
00
00
00
11
10
10
00
00
10
10
00
11
11
10
00
10
00
00
00
01
10
10
00
10
00
01
00
10
00
11
01
10
01
10
10
10
10
10
11
00
01
11
10
00
01
10
10
00
10
10
01
11
10
01
11
10
00
01
01
11
10
00
00
10
11
10
01
00
11
00
00
00
11
10
00
01
10
10
00
00
11
01
11
10
01
00
10
10
00
00
10
10
00
01
00
10
10
10
11
10
10
10
10
11
10
01
00
00
10
01
00
10
10
01
00
01
10
10
01
10
00
00
01
10
01
11
01
01
10
00
10
10
10
00
01
10
01
00
10
11
00
11
00
10
00
01
00
10
00
00
01
10
10
00
01
01
10
11
00
00
10
00
10
00
10
10
10
11
10
10
10
10
00
10
10
01
11
00
10
01
11
01
00
10
10
11
00
11
01
00
00
10
10
00
11
10
11
10
00
10
10
10
00
00
01
10
10
10
01
00
00
00
00
11
10
00
11
10
00
00
10
01
11
11
00
00
10
10
01
10
11
10
11
10
11
00
11
00
01
00
11
11
00
00
10
10
00
01
10
00
00
00
00
00
01
11
10
10
00
11
00
01
10
11
10
10
00
10
01
01
00
00
00
00
11
10
10
11
11
10
00
10
00
00
10
10
11
01
01
00
11
00
11
10
00
00
11
00
00
00
11
00
01
10
10
11
10
00
00
00
10
00
00
10
10
00
00
10
00
00
00
00
10
10
00
11
01
00
10
11
11
01
10
10
00
00
10
11
00
00
10
01
10
00
10
10
00
00
10
10
11
11
00
00
11
10
00
01
10
10
00
00
01
00
10
10
01
01
10
00
00
00
00
11
11
00
10
11
11
00
10
11
00
00
10
00
01
11
10
10
01
10
11
10
10
01
11
00
11
10
01
00
10
00
00
10
10
11
11
00
00
01
00
01
10
11
10
00
11
00
00
10
00
00
11
11
00
10
11
00
10
00
00
10
10
10
10
11
01
10
10
10
11
00
10
00
00
10
10
01
00
00
01
00
00
01
10
11
10
11
00
10
10
01
00
10
00
01
00
00
11
11
10
00
00
10
10
01
01
00
10
00
10
00
01
10
10
10
10
10
10
00
01
01
10
10
00
10
00
10
00
00
11
11
00
10
00
10
00
00
00
10
10
00
00
00
10
00
10
10
10
11
00
10
00
11
10
10
10
01
00
10
00
11
00
00
11
01
00
10
01
01
10
10
01
11
00
10
11
10
01
01
10
00
11
10
01
00
10
11
00
11
10
11
00
11
10
11
00
00
10
10
10
00
01
00
01
11
11
10
00
00
01
11
10
00
01
10
00
00
00
01
11
11
10
00
00
11
11
00
01
10
01
10
00
00
10
10
00
00
11
11
10
10
00
01
00
00
11
10
00
00
00
00
00
01
11
10
10
11
01
11
00
00
01
10
10
10
00
10
10
01
00
00
10
10
11
00
00
00
10
00
01
11
10
10
10
10
01
00
01
11
01
01
00
00
10
00
01
10
11
10
00
00
00
10
00
11
10
00
10
10
11
01
01
01
10
10
00
10
00
10
10
00
00
11
00
10
10
11
01
01
00
10
10
00
00
11
10
00
10
10
00
11
01
10
01
10
00
00
00
10
11
10
00
01
10
10
10
10
00
11
10
11
10
11
01
00
01
00
00
10
01
00
00
00
11
10
00
10
01
00
10
00
11
10
10
10
01
11
11
11
00
11
11
10
10
10
01
11
01
01
10
00
00
01
00
00
10
10
10
01
10
01
10
10
11
00
00
10
00
10
10
10
00
10
10
11
10
10
00
10
11
11
10
11
11
10
10
11
01
01
00
10
01
10
11
11
00
00
10
10
00
10
11
00
01
00
11
00
00
10
10
10
10
01
01
00
11
00
11
10
11
00
01
10
10
01
01
11
11
00
00
00
10
10
11
00
01
00
10
11
10
10
00
01
10
11
10
11
00
00
01
00
00
00
00
11
00
11
10
10
11
00
00
10
11
00
00
00
00
00
00
00
10
10
10
10
10
11
00
10
01
11
00
11
10
10
10
00
00
00
10
10
00
01
10
10
10
11
01
00
00
11
01
00
00
10
11
00
00
00
11
00
10
00
00
10
00
10
10
10
01
00
11
10
00
00
00
00
00
10
11
00
00
00
00
10
11
00
10
00
00
00
10
10
00
10
00
10
01
01
00
01
10
00
10
00
01
00
01
10
01
00
11
10
11
10
00
00
10
10
00
01
01
01
10
01
11
00
10
11
00
11
11
11
00
01
11
01
00
10
10
01
00
10
00
00
10
11
11
10
00
00
01
00
10
00
01
10
11
10
00
10
10
11
10
00
00
11
10
10
00
01
00
11
10
11
01
10
11
10
00
00
00
10
10
10
01
01
00
00
10
11
11
11
00
00
10
10
00
01
00
10
10
01
11
00
10
10
00
01
01
00
01
00
10
10
10
11
01
10
00
10
10
10
00
01
10
01
00
01
01
10
00
10
10
11
00
00
00
11
00
10
10
11
00
00
11
00
10
10
00
10
11
00
10
11
00
00
00
00
11
10
00
00
00
10
10
00
00
00
01
00
10
10
10
11
10
00
01
00
11
10
00
00
10
00
01
10
10
10
00
00
10
00
00
00
00
00
11
00
10
00
10
01
00
11
01
01
10
10
01
01
01
00
11
10
01
01
11
10
00
11
10
00
00
01
10
10
11
10
10
00
00
01
01
00
10
11
00
00
10
11
00
00
11
11
01
10
01
01
11
10
11
00
01
10
11
01
10
11
00
10
11
10
00
00
11
10
00
00
11
10
01
10
00
00
10
01
11
00
00
10
01
01
10
11
10
00
00
00
00
01
00
10
10
00
00
10
10
11
11
00
00
10
00
00
10
10
00
10
01
11
11
00
00
01
10
10
10
11
10
01
01
01
10
10
01
01
01
10
11
00
01
10
10
10
01
00
11
10
00
10
00
00
10
10
11
11
00
11
00
10
10
10
10
00
10
10
00
00
10
10
00
01
00
10
10
10
01
00
01
00
11
11
00
10
01
00
11
10
01
00
00
11
10
10
10
00
00
00
11
11
10
10
00
11
01
00
10
10
10
11
10
01
01
10
01
10
11
10
10
00
00
10
10
01
00
00
00
10
11
11
00
10
10
01
01
10
11
10
00
01
00
01
10
10
00
11
11
00
10
10
11
00
00
01
00
10
00
00
00
10
10
10
11
10
00
10
00
11
10
00
01
10
00
00
10
00
10
10
01
10
10
00
11
10
10
00
10
10
10
10
00
01
10
10
00
00
11
01
01
11
10
10
10
10
11
00
01
11
00
00
10
00
11
00
10
00
01
00
00
10
00
11
10
10
10
10
11
10
01
01
01
01
00
10
11
00
10
10
00
11
00
10
10
10
10
10
10
10
11
10
01
00
00
11
11
10
00
01
10
00
01
00
10
00
10
10
00
01
01
00
10
01
10
10
00
11
00
10
10
01
00
00
01
00
11
01
00
10
01
01
11
10
11
01
01
10
00
00
10
00
10
11
00
01
01
01
01
10
00
01
10
01
10
10
00
11
10
11
10
00
10
10
00
01
10
11
00
00
00
11
10
01
10
10
00
01
10
11
10
01
00
00
10
10
01
00
11
10
10
00
00
01
11
00
11
10
10
01
00
10
00
00
10
00
10
00
00
11
10
00
01
01
10
11
00
00
10
10
01
10
10
00
11
10
01
00
10
01
00
10
00
10
10
00
01
00
11
11
11
10
11
01
00
10
00
01
10
10
00
00
10
10
10
10
00
00
10
00
00
10
10
11
11
00
01
11
10
10
10
10
00
01
10
10
00
10
11
00
10
00
00
00
01
11
10
10
00
00
10
00
00
10
01
11
10
10
00
00
01
10
00
01
11
10
00
10
11
11
00
10
01
00
10
00
00
10
10
11
10
00
01
01
01
10
10
00
10
11
10
10
10
11
01
10
10
11
10
10
01
00
11
11
00
10
00
00
01
10
10
00
11
01
01
00
10
01
00
10
00
00
10
10
10
01
10
11
01
10
01
10
10
11
10
10
00
00
10
10
01
00
10
10
00
10
00
10
01
00
10
11
10
10
00
11
10
10
10
10
00
11
00
00
10
00
01
10
10
10
00
00
00
10
11
10
00
00
00
10
10
00
00
01
00
11
01
01
10
10
11
01
11
10
10
01
10
11
11
01
11
11
00
10
00
00
01
01
11
11
00
01
10
00
00
01
11
10
00
01
01
10
00
10
10
10
10
00
10
00
11
00
00
01
10
10
00
10
11
10
00
00
10
00
00
10
01
00
10
10
11
01
00
11
00
00
00
11
00
11
10
00
11
01
00
01
11
10
00
00
10
10
10
01
10
11
10
01
00
10
00
01
10
11
00
10
11
00
10
10
10
00
10
10
10
01
01
11
10
01
00
00
00
01
01
11
00
00
01
10
10
10
10
00
01
11
10
10
10
10
11
11
01
01
11
10
10
10
00
10
11
00
00
10
10
01
00
11
01
01
00
10
10
00
00
00
10
10
10
00
01
01
10
11
01
01
00
11
10
11
00
00
00
01
11
10
00
00
10
10
01
01
00
01
10
01
11
01
11
11
00
00
00
11
10
10
01
00
01
00
00
10
11
10
11
10
01
01
11
00
00
10
10
11
11
11
00
00
00
01
00
10
10
01
01
11
10
00
01
10
01
11
00
00
11
00
10
00
00
11
11
01
11
01
11
00
11
11
10
00
00
10
10
10
01
01
11
11
11
10
00
10
10
10
01
00
10
10
00
10
00
00
10
00
10
10
00
11
00
01
00
00
11
00
00
10
00
10
00
00
00
00
10
10
00
11
11
10
10
01
00
11
00
01
10
01
00
00
01
11
10
10
01
00
00
01
00
11
10
11
10
10
10
01
10
10
11
00
01
00
10
10
00
01
10
10
11
00
10
00
00
00
10
10
10
00
00
01
10
00
11
00
01
11
10
10
10
00
00
10
00
00
10
10
00
00
10
01
01
10
10
10
10
10
00
01
11
10
00
10
10
00
10
00
01
00
10
00
10
01
00
10
00
10
00
00
11
10
10
11
11
00
10
00
00
01
00
11
10
11
10
00
00
01
00
11
00
10
10
00
10
11
00
00
10
11
11
10
10
00
10
10
11
00
01
11
01
11
00
00
01
11
11
10
01
00
10
01
10
10
00
01
10
00
10
11
01
10
11
00
00
00
10
00
00
10
10
00
00
00
01
11
00
00
00
11
00
01
00
11
01
00
01
10
01
00
11
11
10
11
00
10
10
00
01
00
10
11
10
11
00
11
10
00
00
00
10
10
11
00
10
10
10
10
00
01
10
10
10
10
00
10
01
01
00
10
10
00
01
01
00
10
00
11
00
10
00
00
10
10
01
00
11
00
00
10
10
00
01
10
10
11
00
00
10
11
11
11
01
01
10
01
00
10
01
00
10
11
10
01
10
01
00
11
10
10
11
11
10
01
10
10
11
00
00
11
11
01
11
10
00
00
01
00
10
11
11
01
01
10
10
10
11
00
00
10
10
01
10
00
00
01
10
10
01
00
00
00
11
10
11
00
00
00
01
10
00
00
10
10
00
10
10
11
00
00
01
01
01
00
00
11
00
11
10
00
00
11
11
01
01
10
10
11
10
10
10
00
01
10
00
10
00
01
10
00
00
11
00
10
11
11
00
11
00
00
00
10
00
10
00
01
11
00
10
10
10
00
10
11
00
11
01
01
01
10
00
00
11
10
00
01
11
11
10
00
01
10
00
00
10
10
00
00
01
11
01
00
00
00
10
00
00
10
10
00
01
10
11
01
00
10
10
00
10
01
00
00
10
11
00
10
10
11
10
00
01
00
11
10
10
00
10
10
00
00
00
11
00
10
10
01
00
01
10
01
00
11
11
11
10
01
00
10
10
00
01
10
10
00
00
11
11
11
00
10
10
00
10
01
10
11
10
10
10
00
10
01
00
10
00
11
00
00
11
10
10
10
11
01
11
00
00
11
11
01
11
11
10
00
00
00
10
10
00
00
00
00
01
11
10
00
01
10
01
01
10
00
00
10
11
00
00
01
00
00
00
10
10
00
10
10
01
10
11
00
01
11
11
00
01
11
10
11
00
01
10
10
00
10
01
10
01
01
10
01
10
01
00
10
10
10
10
01
00
10
00
10
01
10
10
01
00
11
00
11
00
00
10
11
10
10
11
00
01
00
10
10
00
00
10
00
00
00
00
00
10
00
11
00
10
01
01
00
01
10
11
10
10
00
00
11
10
10
00
00
01
11
01
00
01
11
10
00
00
11
10
01
01
00
11
10
01
00
10
00
10
00
00
00
00
11
00
10
00
10
10
10
00
01
10
10
10
00
10
00
10
10
10
00
10
10
00
10
01
00
00
11
00
10
11
11
00
00
10
01
11
00
10
10
01
01
00
01
11
00
00
00
10
11
01
01
11
01
10
00
00
10
00
00
11
10
10
11
10
00
00
00
11
00
00
10
00
11
11
00
01
11
11
00
10
10
00
10
11
00
10
00
10
10
00
10
11
01
01
11
00
01
00
01
10
10
01
00
10
10
10
11
10
10
00
11
10
01
11
10
11
00
00
10
01
00
10
01
00
10
00
10
00
11
10
01
10
11
10
10
11
11
10
00
01
00
11
01
10
10
11
10
00
11
11
10
11
00
00
00
11
11
10
00
00
11
10
10
01
00
01
11
00
10
00
00
11
10
01
00
10
00
00
01
10
10
00
00
11
10
00
01
11
10
10
00
11
00
10
10
10
01
00
10
11
10
01
00
00
11
11
00
01
00
11
11
00
00
10
00
10
00
01
10
01
11
10
10
11
01
00
11
11
01
01
00
00
00
00
10
10
10
01
11
00
01
10
10
00
01
10
00
00
00
10
10
00
10
11
00
11
00
10
10
10
10
00
00
11
00
01
00
10
10
10
10
11
00
00
10
00
10
00
00
11
01
00
00
10
00
01
00
00
10
10
01
10
10
10
00
01
10
00
00
00
00
00
00
10
00
10
11
00
00
01
01
11
11
01
00
01
01
00
11
11
10
01
00
10
00
00
11
10
00
10
00
00
00
00
00
01
10
10
10
01
00
10
01
10
01
00
00
00
10
10
11
00
00
11
11
10
10
00
00
10
00
00
10
01
10
01
10
00
01
00
00
01
10
10
00
10
00
00
01
10
01
00
10
11
01
10
11
00
00
10
01
10
10
11
00
00
00
00
10
10
10
01
10
11
01
00
10
10
01
01
10
00
00
10
00
01
10
10
10
00
10
10
11
00
01
11
10
00
00
10
00
00
00
01
10
10
11
10
10
00
00
11
10
00
00
11
10
10
01
00
10
10
00
10
00
01
10
11
00
00
10
00
00
10
10
00
11
10
10
00
11
01
00
10
01
00
01
10
10
00
00
01
00
10
11
11
10
01
10
01
00
00
10
11
11
10
00
00
00
10
11
01
11
10
00
10
10
11
00
10
11
11
00
11
10
01
00
01
00
00
10
11
01
01
11
10
10
00
00
10
10
01
00
11
11
01
11
11
00
00
00
10
10
00
00
11
10
01
10
00
10
11
10
11
10
01
01
01
10
10
10
01
10
11
00
00
10
11
11
10
11
00
00
11
10
10
10
10
00
01
10
00
00
01
00
10
00
10
11
10
00
10
00
01
11
10
01
00
10
10
10
10
00
10
11
11
10
00
11
00
10
11
00
00
11
01
11
10
10
01
11
01
01
00
00
00
11
01
11
10
01
11
10
11
00
01
11
11
01
01
10
11
01
01
11
10
00
01
10
10
00
01
00
10
10
10
10
01
10
10
00
11
01
01
00
00
10
00
00
10
00
10
10
10
00
10
00
00
10
00
10
10
11
01
00
00
00
10
10
01
01
11
00
01
10
00
00
10
11
00
01
10
10
01
01
10
10
00
11
00
01
11
10
00
10
10
01
11
01
00
10
10
11
10
01
11
11
10
10
00
11
01
01
11
01
11
01
11
00
01
11
10
10
10
10
00
10
10
01
01
10
11
11
01
11
10
10
00
00
10
11
00
00
11
00
01
10
10
00
10
10
01
01
11
11
10
00
00
00
10
11
00
00
10
10
00
10
10
11
10
11
00
10
01
01
00
10
00
00
10
00
11
11
00
01
10
00
01
01
10
11
00
01
10
11
00
11
11
01
10
10
01
00
01
10
10
01
00
00
11
10
01
01
10
11
10
00
00
11
10
01
01
00
10
10
10
01
00
11
10
10
00
00
10
10
10
01
00
00
10
00
10
00
10
11
00
00
10
11
00
10
10
10
10
00
00
00
00
00
10
10
11
00
01
10
01
10
00
00
11
10
00
00
11
10
00
11
01
10
10
00
00
00
00
10
11
00
00
10
10
00
11
00
10
01
00
10
11
10
01
01
10
01
00
10
11
00
00
01
10
10
00
01
10
00
00
10
00
00
00
10
00
01
10
00
00
10
10
10
10
00
01
00
00
00
10
00
01
10
00
11
00
00
00
00
11
00
10
11
10
00
10
00
10
00
01
11
11
00
01
00
01
10
10
00
01
01
10
10
11
11
01
11
11
00
10
11
00
01
11
11
00
00
11
11
01
01
10
10
00
00
10
11
01
00
10
10
10
01
10
10
01
10
11
00
01
00
10
01
00
00
11
11
11
10
01
10
00
00
01
00
10
10
10
11
11
00
00
00
11
10
00
11
11
01
00
01
11
10
10
01
00
11
00
00
10
10
10
11
01
01
11
11
10
11
01
01
10
10
10
10
01
00
01
10
00
01
00
11
10
11
01
11
10
00
10
00
01
10
10
01
00
10
11
10
00
10
11
00
00
11
11
10
01
10
10
10
00
11
11
00
00
00
11
00
00
00
11
10
10
11
01
00
10
10
10
00
00
10
01
00
11
00
01
00
11
10
00
00
11
10
00
00
11
01
00
10
10
00
00
00
10
10
01
10
10
10
00
00
00
11
00
01
01
01
00
11
00
10
10
10
11
10
00
00
10
10
00
01
00
11
11
00
10
00
11
10
10
00
00
10
00
10
11
10
00
01
10
01
00
10
10
10
01
00
11
10
00
00
10
01
10
01
00
10
11
00
00
10
10
01
10
10
01
01
01
10
11
00
11
01
00
11
10
11
00
00
10
11
00
00
10
11
00
00
10
01
10
00
11
00
00
01
10
10
00
10
10
10
10
01
00
10
01
00
10
11
01
00
10
10
00
00
01
10
11
00
00
01
10
10
10
00
00
10
10
10
10
10
10
00
00
00
10
11
10
10
10
00
10
00
01
10
00
11
10
10
01
01
00
10
11
10
11
00
10
00
00
10
00
00
10
00
00
01
11
10
10
11
00
00
10
00
00
11
01
00
10
00
00
10
10
11
01
10
10
01
01
10
01
00
00
11
10
11
11
00
00
11
00
01
01
10
10
00
11
00
00
10
01
00
10
00
10
11
10
01
01
00
11
11
00
11
11
00
10
01
01
11
00
00
10
10
10
10
10
11
11
00
00
11
00
11
00
10
11
00
00
01
10
01
00
00
00
00
10
00
11
10
11
00
01
01
00
10
11
10
00
11
11
00
00
00
10
10
01
11
10
10
00
10
11
01
00
11
11
00
11
10
11
11
00
00
00
11
10
00
00
01
01
11
00
01
10
01
10
10
00
00
10
10
11
01
10
00
10
10
10
01
11
00
10
01
00
01
00
10
01
00
00
00
00
11
11
10
10
10
10
00
00
00
10
10
10
10
10
00
00
00
00
10
10
00
10
10
10
11
00
00
00
00
00
11
01
00
11
10
00
10
11
00
00
10
10
10
10
00
01
11
00
10
00
10
00
10
10
00
00
10
00
00
10
10
00
00
11
00
10
00
11
10
11
00
00
00
00
01
11
10
00
00
00
00
00
00
11
10
00
00
10
00
11
01
00
00
10
11
10
10
00
00
00
01
00
11
00
01
10
00
00
00
00
10
10
10
10
00
10
01
10
11
00
00
11
10
10
10
01
00
10
00
10
10
01
10
10
00
10
10
11
11
10
00
01
10
00
01
00
11
00
10
10
11
11
10
00
00
10
00
10
10
10
10
00
10
00
11
01
11
01
10
10
11
00
00
01
11
10
10
00
10
11
00
11
10
01
00
11
00
10
10
11
01
00
00
11
11
10
00
01
00
10
10
10
00
11
00
10
10
11
00
10
00
01
01
10
01
01
01
10
00
10
10
00
01
11
10
00
00
01
10
00
01
10
10
10
10
00
11
11
01
11
11
10
00
00
10
10
01
01
11
10
10
01
00
10
11
10
00
00
10
00
00
00
10
10
01
00
00
00
00
11
10
01
01
10
00
00
00
00
00
10
10
11
01
00
10
01
01
00
11
00
01
10
10
00
00
01
10
10
00
00
11
10
00
01
00
01
11
11
01
11
00
10
01
11
00
00
11
11
10
11
00
01
00
00
10
10
01
00
10
00
10
00
00
00
11
11
10
00
01
01
10
01
00
11
10
10
11
00
00
11
10
01
00
10
11
00
11
10
00
01
10
10
01
01
00
00
11
10
11
00
11
11
10
10
01
00
01
10
00
10
10
11
01
10
10
10
10
10
10
00
00
01
11
11
11
10
00
00
00
01
01
11
11
10
10
01
10
01
01
00
11
10
11
00
11
10
11
11
01
01
01
00
10
11
11
00
01
01
10
10
10
11
00
01
00
10
10
10
00
10
01
00
10
10
11
11
10
01
11
11
01
11
00
10
01
11
10
01
00
10
10
00
01
10
00
00
11
10
00
00
01
11
00
01
10
00
00
10
10
10
10
00
10
10
11
01
00
01
11
00
11
11
10
10
11
01
00
11
10
00
11
11
00
10
10
01
00
00
01
10
10
10
10
00
00
10
01
10
01
01
10
10
11
11
00
10
00
00
10
11
10
10
00
00
01
01
10
00
00
01
01
10
10
00
10
11
00
10
01
01
10
01
00
10
01
00
00
10
10
11
01
00
10
00
01
00
11
11
10
00
10
00
10
10
11
00
00
10
00
01
10
01
00
00
00
00
10
11
01
01
10
10
00
10
10
00
00
10
10
00
10
10
10
11
01
10
10
10
10
01
00
00
00
10
11
10
01
11
00
00
11
10
11
10
11
01
11
00
01
10
01
01
10
00
00
11
00
01
10
00
00
10
10
11
10
00
00
10
10
00
00
10
10
00
11
11
10
00
10
10
00
00
11
10
10
10
10
01
00
01
10
10
10
11
10
01
10
01
01
11
10
11
00
11
11
11
00
01
10
10
00
01
10
10
10
00
11
10
10
10
00
01
00
11
10
10
11
10
00
01
11
10
00
00
00
10
00
01
00
00
11
10
00
00
01
11
10
00
11
00
10
10
01
11
10
11
00
10
10
01
11
01
00
10
10
11
11
00
01
10
01
10
01
10
10
00
10
10
00
00
00
10
10
01
11
01
10
00
10
01
00
01
10
01
10
10
00
00
11
01
01
11
10
10
00
00
01
10
00
00
10
00
01
01
11
10
10
00
00
00
10
10
01
11
01
11
10
00
11
01
01
11
10
01
10
11
01
00
10
11
10
11
11
01
11
00
10
00
00
00
10
10
00
01
01
10
11
10
00
10
00
10
00
00
11
10
01
00
11
11
11
00
01
00
01
00
11
10
00
00
00
10
10
01
00
01
01
10
11
00
10
10
01
00
00
10
10
00
10
00
00
11
01
01
10
00
10
00
01
10
11
00
00
10
10
10
01
10
10
00
00
10
10
11
01
11
10
00
00
00
11
10
01
00
01
00
10
00
11
11
00
01
00
00
10
10
01
11
11
00
00
01
00
10
11
10
00
00
10
01
10
00
10
00
00
00
01
11
00
10
11
00
11
10
10
10
00
10
11
00
11
01
00
10
10
00
11
10
01
00
11
00
00
00
00
10
11
00
00
11
11
00
11
00
10
10
11
00
10
00
00
10
00
00
10
10
10
10
10
01
10
10
11
01
00
10
11
00
00
11
01
10
00
10
10
10
00
10
11
01
10
11
10
00
10
10
01
10
11
01
10
10
01
01
10
11
00
01
00
11
00
01
01
10
10
10
10
01
11
11
00
10
10
10
00
10
10
00
01
10
00
01
10
00
00
11
00
01
11
00
11
01
00
01
11
00
10
10
01
00
10
11
00
10
01
10
00
10
10
00
01
00
10
01
00
11
00
10
01
00
01
00
01
10
00
10
00
00
10
10
00
01
00
01
10
00
00
11
00
10
11
00
00
00
10
10
00
00
10
10
00
00
00
10
11
01
10
11
10
11
00
10
01
00
00
11
01
01
10
00
00
00
10
00
11
10
00
00
10
10
00
11
01
01
11
00
01
01
11
11
10
00
00
11
10
01
00
11
00
01
11
11
00
00
10
10
11
00
11
10
00
00
10
01
00
01
10
00
00
11
01
10
10
10
11
00
01
01
10
10
00
01
10
00
00
00
10
10
01
00
10
10
00
11
00
10
10
10
10
11
00
10
00
10
00
10
00
00
00
10
01
10
11
10
00
11
01
00
00
00
00
10
10
00
10
10
11
11
00
11
00
00
10
01
00
10
10
01
10
10
10
00
11
10
11
00
01
01
10
10
10
00
00
01
10
10
00
01
10
10
00
01
11
00
10
01
00
11
11
01
00
11
00
00
10
10
10
10
00
00
10
10
11
10
10
10
10
01
11
10
00
10
10
10
00
11
01
01
10
01
10
00
11
00
10
10
01
01
01
00
10
10
00
01
00
00
10
10
10
00
00
10
11
00
10
00
00
00
10
01
00
11
11
11
00
10
01
01
00
11
00
11
11
00
00
01
01
11
10
00
10
11
00
01
10
00
00
00
10
00
10
01
11
10
00
01
10
00
10
10
11
11
01
01
01
10
11
10
11
00
01
11
01
00
10
11
00
01
00
00
11
01
10
00
10
11
01
10
00
01
00
01
10
10
00
11
10
00
00
10
00
01
10
10
00
10
00
00
00
10
00
00
10
00
10
10
00
00
10
10
11
00
11
10
10
10
01
10
00
00
10
10
01
00
11
00
10
10
00
10
10
10
00
10
00
00
01
11
11
01
10
00
00
11
01
10
00
11
00
00
10
00
00
00
00
00
11
10
00
00
01
10
01
10
00
01
10
10
10
01
00
11
10
00
01
10
10
01
00
10
11
10
10
00
10
01
01
00
11
01
01
10
10
10
10
10
11
01
00
00
10
10
11
01
10
00
01
10
00
11
10
10
10
01
10
01
00
10
11
00
00
10
00
01
01
10
10
01
11
01
11
00
01
10
11
10
10
11
01
00
10
10
00
00
00
00
10
11
01
11
00
01
11
11
00
00
00
10
00
10
10
01
10
11
10
01
10
11
01
01
00
10
10
01
00
00
00
10
00
00
10
00
00
10
00
10
10
01
00
10
00
01
10
10
11
10
01
11
10
01
01
10
11
11
00
10
11
11
10
00
00
01
10
11
11
10
01
11
01
01
10
11
10
00
00
00
10
10
01
00
11
11
11
10
01
01
00
00
10
10
10
00
00
11
01
11
01
10
00
00
00
01
10
00
00
01
10
00
11
10
00
10
10
00
10
00
10
11
10
10
11
00
00
10
10
01
10
11
01
01
10
10
00
00
01
10
11
00
00
00
10
00
00
00
10
01
00
11
00
11
01
00
11
11
01
00
10
11
10
01
01
10
00
11
10
01
01
10
11
11
01
00
10
10
11
00
10
00
10
10
00
00
00
11
00
11
11
11
01
11
10
00
01
00
01
11
10
10
10
00
01
00
11
10
00
00
10
00
00
11
10
10
00
10
00
00
00
01
00
10
10
10
01
01
00
11
00
11
01
00
10
10
01
00
01
10
10
10
00
10
11
10
01
11
00
10
00
00
00
00
10
10
10
00
01
01
11
01
10
11
00
01
10
10
00
01
00
10
11
00
10
10
00
00
10
00
00
00
00
11
00
11
10
00
10
00
11
00
01
11
00
11
01
01
11
01
00
10
11
00
11
10
01
00
11
00
00
10
00
00
11
11
00
00
11
01
01
00
10
10
11
00
00
10
11
10
01
01
01
00
10
00
10
01
00
00
11
10
11
11
00
11
00
00
11
00
01
00
00
11
00
01
10
00
00
11
00
10
01
10
10
10
00
00
00
10
11
11
00
01
11
11
01
00
00
00
00
10
00
00
10
10
11
00
00
11
10
00
01
00
10
00
00
10
10
00
00
01
10
00
10
01
10
01
00
11
00
11
01
01
00
11
01
01
01
00
01
10
10
00
00
10
11
10
10
01
00
00
01
10
10
01
00
00
10
00
01
00
10
00
10
10
10
10
00
00
11
10
01
10
11
00
00
10
11
10
01
00
10
00
10
00
00
10
10
00
11
01
00
00
10
01
01
00
00
10
10
10
10
01
11
01
00
11
01
10
10
00
00
11
10
11
11
01
00
10
10
00
10
00
00
01
00
10
10
10
10
01
00
10
10
00
00
10
10
00
00
10
00
00
10
10
11
00
01
10
10
00
11
10
00
00
01
01
00
00
10
10
10
10
01
01
11
01
10
10
00
10
01
10
11
01
00
10
10
11
00
11
11
00
10
00
00
10
10
01
01
10
00
00
10
10
11
10
10
00
10
01
10
00
01
10
10
10
10
00
01
10
00
00
11
01
00
00
11
01
00
00
10
10
00
11
00
00
10
01
00
01
10
11
00
00
00
10
01
00
00
10
10
01
00
10
01
00
10
01
00
10
10
01
10
00
00
10
00
10
11
10
10
00
11
11
01
00
10
00
01
10
10
11
00
10
10
00
11
10
00
00
00
00
01
11
10
00
01
10
11
00
11
00
00
10
10
11
11
11
01
00
10
11
00
00
10
10
10
11
00
00
00
00
10
00
00
10
10
10
10
10
10
00
11
01
01
00
00
01
10
00
10
01
00
00
00
10
01
00
00
10
10
11
10
00
00
00
10
01
10
00
00
10
10
00
00
00
00
00
11
00
11
00
00
10
10
00
01
11
11
01
10
10
10
01
01
00
10
10
00
01
00
10
00
10
00
00
01
10
11
01
01
10
01
10
10
10
00
11
10
00
00
00
01
01
10
10
11
00
00
00
11
01
10
01
01
00
11
11
10
00
10
10
01
01
10
10
10
00
10
00
01
11
11
00
01
10
00
10
10
10
00
00
01
10
10
10
11
00
11
00
00
10
11
00
00
11
00
00
11
00
10
11
00
00
00
00
01
10
10
10
00
00
01
10
00
00
01
10
10
00
00
00
10
10
10
11
00
10
00
10
01
01
10
10
10
01
10
11
00
00
11
11
10
01
10
10
01
00
11
10
00
00
10
00
10
00
00
00
10
00
01
10
01
01
00
00
11
00
00
01
00
11
01
01
10
00
11
10
01
01
01
10
11
01
00
01
00
01
00
01
10
11
11
10
01
01
01
10
00
00
10
00
01
11
11
10
00
10
10
11
00
00
10
10
10
00
00
10
00
00
10
01
10
10
01
00
11
00
01
00
11
01
00
00
10
10
00
10
10
11
01
11
10
10
00
01
11
01
10
11
01
10
10
00
10
10
10
00
00
10
10
11
10
10
10
00
00
00
11
11
00
10
11
01
00
10
01
01
10
11
00
00
00
00
10
01
00
11
10
01
00
00
10
00
01
10
00
00
01
10
00
01
11
10
01
00
10
01
11
00
01
10
10
10
10
10
01
01
10
00
00
00
10
00
01
10
00
11
10
11
01
00
01
10
01
10
00
00
10
00
01
00
11
11
01
00
01
01
10
11
10
01
00
00
10
10
00
01
10
10
00
00
10
00
11
10
11
00
11
10
11
10
00
00
10
00
00
01
10
10
00
10
00
00
00
01
10
10
00
10
10
11
10
10
01
00
10
10
00
10
10
10
10
10
10
11
10
01
10
01
00
01
10
00
11
10
11
00
10
11
10
10
01
00
01
01
10
10
00
00
11
01
00
10
11
01
10
11
11
11
01
10
00
00
00
10
10
00
00
10
00
10
11
10
10
11
00
11
10
11
10
00
10
10
10
11
00
00
00
00
01
11
00
10
10
10
00
01
01
10
11
00
11
10
11
00
10
11
00
11
00
11
11
10
00
00
10
10
10
00
01
10
10
10
01
10
10
00
10
00
10
00
00
11
00
00
00
00
00
00
11
10
10
00
01
10
11
10
11
00
00
00
00
10
11
00
01
00
00
00
11
10
00
00
10
10
00
00
00
01
10
10
00
10
10
10
00
11
01
11
00
11
01
00
11
11
01
01
00
10
10
01
00
10
10
01
10
01
00
10
11
01
11
01
00
10
10
10
00
00
10
11
00
00
01
11
10
01
00
01
00
10
00
11
10
00
11
00
00
10
11
10
10
10
01
10
00
01
00
00
00
11
10
00
10
01
10
10
01
01
10
00
11
01
10
10
00
10
10
00
10
10
00
00
10
00
10
00
00
10
00
00
01
10
11
01
00
00
10
00
01
11
11
00
01
11
10
11
10
01
10
10
00
00
11
01
00
10
10
01
10
00
10
10
10
00
00
00
10
10
00
00
10
10
10
00
10
00
11
00
11
00
10
01
00
10
10
10
10
10
00
00
11
00
10
10
00
10
11
10
01
10
10
10
11
00
10
10
01
10
10
10
01
00
00
01
11
00
01
01
00
00
00
10
10
10
00
01
10
00
10
11
10
10
01
00
01
10
10
10
10
00
00
11
11
01
10
10
11
01
00
01
11
11
00
11
11
10
11
10
00
01
00
10
00
00
11
10
10
01
10
10
00
10
10
10
10
10
00
11
00
00
10
01
01
11
11
01
00
10
00
11
10
00
00
11
11
00
00
10
00
00
10
00
10
11
00
11
10
10
10
11
10
10
10
00
01
01
11
10
00
00
00
01
10
10
00
00
10
00
01
00
11
11
11
10
11
01
10
10
00
00
10
10
00
00
00
10
01
11
11
00
10
10
10
10
01
10
11
10
10
00
11
10
01
01
10
11
00
10
00
11
11
10
11
11
10
00
10
01
10
00
10
10
00
00
00
00
10
10
11
11
11
00
00
10
01
01
11
10
10
00
00
10
00
01
10
11
10
10
11
00
10
10
10
00
01
01
00
10
10
01
11
11
10
10
10
00
10
00
01
10
10
00
10
00
01
00
10
10
00
10
10
00
00
10
10
00
10
11
11
00
01
10
10
01
00
00
10
10
00
10
10
00
10
11
11
00
01
11
00
10
01
10
10
00
01
10
10
10
00
00
00
10
01
01
10
10
00
10
01
10
11
00
01
10
00
00
00
00
11
11
00
10
10
10
00
01
10
01
11
11
00
10
00
10
00
00
11
00
01
11
00
10
10
00
01
10
10
11
01
01
00
11
01
01
10
10
01
01
10
11
10
00
00
10
11
10
10
01
10
10
01
10
10
01
10
01
11
10
00
11
10
11
10
11
00
00
01
01
01
10
11
01
00
00
11
11
00
01
10
01
10
00
01
10
11
00
10
01
01
01
10
11
01
11
00
10
10
00
00
11
11
10
01
01
10
00
01
01
00
10
10
10
00
10
01
00
10
00
01
01
11
10
10
10
10
00
11
01
01
10
10
10
00
01
00
01
10
01
01
10
01
00
00
11
10
00
10
01
00
11
10
10
11
00
10
00
10
00
10
11
00
00
01
10
00
00
00
11
00
00
00
10
11
00
01
10
01
00
00
10
10
00
00
10
11
11
00
10
11
01
01
10
11
00
11
10
10
00
00
11
10
00
00
00
10
11
00
11
10
00
01
00
01
10
00
01
00
00
00
00
10
00
00
10
00
00
00
00
01
10
11
00
01
10
00
10
10
01
11
10
10
10
00
10
10
01
00
11
10
10
00
01
11
01
11
10
00
10
00
00
00
11
10
11
10
11
00
00
01
10
10
00
00
11
11
00
10
01
10
11
11
10
10
10
01
00
00
00
11
01
10
10
01
11
01
01
10
10
00
00
11
01
00
11
00
00
10
10
11
10
01
01
00
10
00
10
10
01
00
00
00
10
11
01
10
11
00
00
00
00
10
10
00
00
00
10
00
10
00
00
00
00
10
00
00
10
10
10
01
01
10
10
11
01
01
10
10
00
11
11
01
01
10
11
10
10
11
01
00
01
10
10
10
10
11
01
00
00
10
10
00
00
00
10
00
00
00
11
10
00
11
10
10
10
00
00
11
10
10
10
00
00
11
00
11
00
00
01
00
10
10
00
00
01
00
10
11
00
11
11
00
01
11
01
00
01
11
10
00
00
00
11
11
00
11
11
01
00
10
10
01
00
10
11
00
00
00
01
00
01
00
10
01
00
10
01
10
10
01
00
01
00
11
11
10
10
01
10
10
10
00
10
10
10
00
10
10
00
01
00
00
00
11
10
10
00
11
00
01
10
10
10
01
00
00
10
11
10
11
00
01
00
10
00
10
00
10
10
00
11
10
00
10
10
10
10
00
00
10
01
11
10
10
00
10
10
00
00
00
11
11
10
00
01
00
01
11
10
11
10
10
00
01
10
00
11
10
00
01
10
01
10
00
00
00
00
10
00
00
10
11
11
11
01
11
00
11
10
01
00
11
10
11
10
01
10
10
11
00
10
10
11
10
10
01
10
00
00
10
00
10
00
00
10
10
00
10
10
01
11
00
00
00
10
10
00
00
10
11
00
00
10
01
00
01
00
11
11
00
00
00
10
11
01
10
10
01
00
10
00
01
11
01
10
10
11
10
10
10
00
00
01
00
10
10
11
10
01
10
00
00
00
01
11
01
00
11
11
01
11
10
01
00
01
10
01
00
10
01
11
01
01
01
11
10
00
00
10
11
00
01
01
11
01
10
10
11
10
10
01
10
10
10
10
01
10
10
00
10
00
00
10
11
10
11
00
11
00
10
00
11
01
00
10
11
00
11
10
10
00
01
10
01
00
11
10
10
00
01
00
10
01
01
01
10
11
01
01
10
11
00
10
01
01
10
10
00
01
00
11
00
00
01
10
01
00
00
10
00
10
10
11
00
10
00
10
10
01
01
00
11
11
10
10
10
00
10
00
10
00
11
00
10
10
10
10
00
01
00
10
11
10
00
00
00
10
10
00
01
11
10
00
10
10
11
00
01
10
10
10
10
10
00
00
10
10
01
00
00
00
01
10
10
10
11
10
10
11
00
00
10
00
10
00
11
10
11
00
01
00
10
01
10
01
10
10
01
00
10
01
11
10
10
11
00
11
10
00
11
01
10
10
01
01
00
10
10
11
01
00
10
10
10
10
11
00
00
00
11
10
10
00
00
10
10
10
10
01
00
10
10
10
10
00
01
00
00
00
10
10
11
00
10
00
10
10
10
01
01
10
01
01
00
00
10
11
00
01
10
00
00
11
10
10
01
01
11
10
00
00
00
01
00
00
10
00
10
10
00
10
10
00
10
10
01
00
10
01
10
10
01
00
00
10
00
11
10
00
10
10
10
00
00
00
11
01
00
10
10
10
00
01
01
10
00
00
10
00
01
00
00
10
00
10
11
00
10
00
11
10
11
00
00
00
10
11
00
10
10
10
10
10
10
01
11
10
01
00
10
00
01
10
11
01
00
01
11
01
10
11
01
00
01
00
11
10
10
00
01
00
11
11
00
00
10
00
00
11
00
10
10
00
10
01
00
10
11
01
01
10
10
01
10
00
00
11
11
00
10
10
00
11
01
00
10
10
10
01
00
00
01
10
10
11
00
00
10
00
11
01
00
10
00
10
00
00
00
01
10
11
00
01
01
00
10
11
00
00
01
00
10
11
00
10
11
00
00
00
01
10
10
11
00
00
00
00
11
10
10
00
10
10
10
01
10
10
10
01
10
11
11
00
11
00
10
11
10
00
01
10
10
01
01
00
10
11
10
01
00
11
01
10
10
00
11
11
10
00
10
11
00
00
10
00
00
10
11
00
00
00
01
10
00
10
00
10
00
00
10
10
11
01
01
10
11
10
01
00
11
11
00
00
10
00
00
00
01
10
11
10
01
01
00
11
10
01
00
10
01
00
01
10
01
10
00
01
10
10
00
10
00
11
10
10
11
00
01
10
00
10
10
00
00
00
10
10
00
00
10
10
00
10
01
01
11
10
00
00
00
11
00
11
10
11
10
01
00
00
10
11
11
10
11
00
00
00
10
10
10
10
01
10
11
01
10
10
10
00
01
10
00
10
00
10
10
00
11
00
10
01
00
01
00
01
01
01
10
10
11
10
01
00
00
00
11
10
00
00
11
10
01
10
10
10
00
00
00
10
10
00
11
01
00
10
10
01
10
01
00
10
01
00
00
00
11
10
10
01
00
10
10
00
00
10
00
01
01
11
11
10
10
00
10
10
11
10
00
01
11
01
01
11
10
11
00
11
10
00
00
01
11
11
10
00
00
10
00
01
00
10
11
10
00
00
11
10
10
00
01
11
11
00
11
00
00
11
10
00
01
00
11
01
00
00
01
10
00
01
10
00
11
00
01
01
10
10
00
00
10
10
11
00
10
10
10
10
10
01
00
10
00
01
10
10
01
10
01
00
10
11
00
01
10
00
00
00
10
00
00
11
11
01
00
00
10
01
10
01
00
10
10
01
11
10
10
00
11
11
10
01
00
00
00
10
11
01
10
11
01
10
00
00
10
10
11
10
00
00
11
01
00
00
00
00
11
00
10
00
10
11
10
00
01
00
00
11
10
10
00
01
11
00
11
10
10
01
11
00
00
10
11
00
11
10
10
00
00
00
10
10
10
00
00
10
00
10
00
10
00
10
00
10
10
10
00
10
00
01
10
01
11
10
00
10
11
00
10
11
00
11
11
01
01
11
00
01
01
11
11
00
00
10
11
01
00
00
00
11
10
01
00
00
10
01
10
11
10
01
01
00
01
10
10
01
00
10
11
01
00
00
01
00
00
10
10
10
00
01
00
00
00
00
01
10
11
00
11
00
00
00
11
10
00
01
10
01
11
01
11
00
00
11
10
11
10
01
00
00
00
00
00
10
11
00
01
11
11
00
10
11
01
00
01
11
10
11
01
01
11
10
10
10
10
00
00
11
00
00
00
10
10
10
11
00
01
10
00
00
01
01
10
00
10
01
00
00
11
11
10
01
10
11
11
01
11
10
00
00
10
10
01
10
10
10
01
11
10
11
01
10
10
10
10
00
00
00
10
01
10
10
11
10
00
01
00
10
11
01
01
10
10
10
00
10
00
00
11
00
01
00
01
10
00
00
11
10
10
10
00
10
10
10
01
00
11
01
11
00
10
11
00
01
01
00
11
11
10
00
00
00
00
10
10
11
00
11
10
11
10
10
01
00
01
01
01
11
10
00
11
00
01
10
10
10
11
01
00
11
10
11
10
00
01
00
00
00
11
10
11
00
00
11
10
11
01
01
10
00
01
01
00
10
00
00
11
00
00
10
11
00
10
01
00
10
11
00
10
10
10
01
01
00
01
01
10
00
10
11
01
01
10
10
00
00
00
10
00
01
00
10
10
01
10
01
00
10
01
10
00
01
00
10
10
11
10
10
11
00
00
10
00
11
00
11
10
10
10
10
01
00
01
11
10
11
01
10
10
10
00
00
10
11
10
00
01
00
11
00
00
00
11
10
00
00
11
00
00
01
00
10
01
00
11
10
10
00
01
01
01
10
10
10
00
01
11
00
00
10
10
10
00
10
10
01
01
01
00
10
00
00
10
11
10
00
00
00
10
10
00
00
01
10
01
00
11
00
10
00
10
00
01
00
11
01
11
10
01
11
01
10
11
11
00
01
10
00
01
00
10
11
11
00
00
10
10
10
01
11
10
10
00
00
10
00
00
11
01
00
10
11
01
00
10
10
00
10
10
00
00
10
10
10
10
01
10
00
00
11
01
00
01
10
01
10
10
01
01
01
10
01
00
10
10
10
00
00
10
01
01
11
00
00
10
00
00
10
10
00
00
10
01
11
10
10
10
01
00
00
10
00
00
00
00
10
01
00
10
11
00
10
10
11
10
01
10
00
10
10
00
00
00
11
00
00
11
00
10
01
10
10
00
01
00
11
00
10
11
01
10
00
00
10
00
00
00
01
10
01
00
11
00
00
00
00
00
10
10
01
10
00
00
00
00
10
10
10
11
00
00
10
01
00
01
00
10
00
00
00
00
00
00
10
11
11
10
10
10
11
10
10
00
01
00
10
10
11
00
00
01
11
11
11
11
00
01
10
00
00
11
11
01
00
11
01
10
10
10
00
00
10
10
01
10
00
10
00
00
00
00
11
00
00
01
10
10
00
11
01
01
11
00
00
10
10
00
01
10
10
01
00
11
11
10
10
11
11
10
01
11
00
10
01
00
10
11
00
01
00
11
00
10
10
00
11
10
10
10
10
10
10
11
00
00
00
11
10
10
01
10
00
10
01
00
01
10
10
01
00
10
10
01
00
00
10
00
10
10
00
10
01
10
00
01
00
00
00
10
01
01
11
10
11
00
00
01
01
00
10
10
00
10
00
10
11
00
10
00
11
10
10
10
00
00
11
00
10
01
10
10
10
00
00
01
11
10
01
00
01
10
00
00
00
10
10
10
00
00
10
10
11
10
00
00
00
10
00
00
10
00
11
00
11
10
11
01
01
00
01
00
00
10
10
10
11
01
11
11
00
01
10
10
10
11
01
01
00
10
10
00
00
01
10
10
10
00
00
01
01
10
00
10
10
00
10
00
00
01
00
11
10
10
00
00
11
00
01
00
11
11
10
00
01
00
01
10
10
00
10
11
01
00
11
10
00
10
10
10
00
00
10
11
10
01
10
00
00
00
10
11
00
01
10
10
10
01
00
00
11
10
00
11
00
01
10
11
10
00
00
01
00
01
01
10
00
10
01
11
11
10
10
11
10
10
01
01
11
11
11
00
00
00
00
01
10
10
10
01
01
00
00
10
00
00
11
01
10
00
00
10
00
00
10
10
00
00
10
11
11
10
00
01
10
01
00
00
10
00
01
10
01
00
00
10
11
10
00
01
10
10
00
11
11
10
01
00
10
01
10
10
00
00
01
10
10
01
00
01
10
00
10
00
00
00
00
10
10
10
11
10
10
10
10
11
11
10
00
10
10
10
00
00
10
10
10
01
10
11
10
11
01
01
10
10
10
00
01
10
11
10
10
00
10
00
10
10
00
01
11
11
10
11
10
10
00
00
11
00
10
11
00
01
11
01
01
00
01
11
00
00
11
10
01
00
10
01
01
10
01
11
01
01
10
01
10
11
00
01
10
11
10
10
00
00
00
00
10
11
10
00
01
01
10
10
10
00
00
10
10
01
00
11
00
01
00
00
10
11
01
01
00
10
10
10
00
10
10
01
10
10
00
00
01
10
00
10
01
00
11
00
00
10
01
10
10
00
00
10
10
11
11
10
00
00
01
10
10
10
10
01
01
10
00
01
01
00
00
10
11
00
00
00
10
11
00
10
01
10
00
11
00
00
11
10
10
00
00
00
01
00
10
00
10
10
00
10
00
01
00
01
10
00
10
11
00
10
10
00
00
10
11
00
11
01
10
10
00
00
11
11
00
11
00
10
10
11
10
11
10
01
11
00
10
00
00
10
00
00
01
00
01
10
01
11
00
01
01
00
11
01
11
01
00
10
10
10
00
11
11
00
00
11
00
10
11
01
00
10
10
01
11
10
11
10
00
10
10
00
10
10
00
01
11
00
10
01
01
10
10
00
00
01
11
10
00
10
01
11
10
00
00
01
11
00
10
01
00
00
10
11
11
00
10
01
00
00
00
10
11
00
10
01
11
10
00
01
00
00
00
11
10
10
10
11
00
10
10
00
10
10
10
01
10
10
00
01
10
10
10
11
00
11
01
10
01
11
01
01
10
10
11
10
11
10
00
00
00
10
00
10
11
10
01
00
10
11
00
00
11
00
00
10
10
00
10
10
00
11
00
11
11
01
01
00
00
11
00
10
11
00
01
10
00
10
11
10
01
01
10
11
01
10
00
10
11
00
10
10
00
10
11
10
00
01
00
10
00
01
10
10
10
10
10
11
00
00
10
10
00
00
00
00
10
10
10
01
10
00
00
01
10
01
00
00
10
00
01
11
00
00
10
10
11
10
11
00
10
11
00
01
11
00
01
10
01
10
11
00
00
10
00
01
00
10
10
01
11
00
00
10
10
11
10
10
10
00
00
00
11
10
00
10
10
11
10
01
01
01
00
10
01
10
10
00
11
10
10
10
01
11
10
01
00
11
11
10
01
00
00
11
10
00
10
10
00
01
10
10
11
10
10
00
11
10
01
10
10
11
10
10
01
10
10
01
10
00
10
01
10
00
01
00
10
00
01
11
10
10
00
11
01
00
11
01
11
01
10
11
01
00
00
10
00
00
01
11
11
00
01
11
10
11
00
00
11
10
01
00
00
00
10
00
00
11
10
01
10
10
10
10
01
00
01
10
11
10
00
00
00
11
11
01
01
00
00
11
01
01
10
10
00
00
11
00
11
10
00
11
11
01
01
11
10
01
10
11
01
00
10
11
11
10
00
00
10
11
01
00
10
00
10
10
10
11
10
01
11
00
00
00
10
00
10
01
01
10
11
00
01
11
10
10
10
01
01
10
10
01
00
00
00
10
01
01
11
11
00
11
00
01
10
10
11
10
00
00
00
10
00
10
00
00
11
10
00
00
01
00
01
00
10
00
00
01
01
01
10
10
00
11
10
00
00
10
10
00
10
01
00
00
00
10
10
11
10
00
10
00
00
11
11
00
00
01
11
10
01
11
10
10
00
00
00
01
01
10
01
10
10
00
00
00
11
10
01
00
01
10
01
11
10
01
00
00
10
11
00
01
10
01
10
00
00
10
10
00
10
11
11
01
11
01
10
00
00
11
00
01
11
00
01
10
11
00
00
11
10
11
11
01
01
10
10
10
01
00
10
00
00
11
00
10
11
10
11
11
10
01
10
10
00
10
10
00
00
00
01
10
00
00
10
11
00
10
00
10
00
11
10
01
10
01
10
00
00
01
10
00
00
11
10
00
00
10
10
10
01
00
00
11
10
10
11
10
10
10
01
00
00
00
10
10
10
10
00
01
10
01
10
10
01
10
01
01
10
00
10
00
11
01
00
10
00
01
10
10
11
01
01
00
01
11
11
00
00
00
10
11
11
10
00
00
10
11
00
00
10
10
00
11
11
10
00
10
01
01
01
10
10
00
01
00
00
11
10
00
00
00
11
11
00
10
00
10
10
00
00
10
10
00
10
01
00
11
00
00
11
00
10
00
00
10
00
00
10
00
00
00
10
00
10
00
10
11
10
01
00
11
00
00
00
01
11
10
00
01
10
11
10
01
11
11
00
00
01
10
11
10
00
00
00
11
10
00
10
10
10
01
00
10
10
00
00
01
10
10
00
10
10
10
10
00
10
10
01
10
11
10
01
00
10
01
10
01
00
00
11
00
01
10
11
10
01
00
10
01
10
10
00
11
01
11
11
00
11
00
11
10
10
00
11
10
01
10
10
01
00
00
10
11
00
10
10
00
00
11
10
01
10
00
10
10
01
00
00
11
10
10
10
11
00
00
10
00
00
01
11
11
10
10
00
11
11
10
10
01
01
00
01
11
10
01
10
01
01
11
00
10
01
10
11
00
00
10
10
10
11
10
00
10
10
00
11
01
00
00
01
10
10
10
10
10
11
01
00
00
10
10
10
00
00
01
10
00
00
00
10
11
10
11
00
11
01
11
11
11
10
00
10
11
00
01
10
10
11
01
10
10
01
00
00
11
00
00
00
00
01
10
10
01
10
11
00
01
01
11
11
00
10
10
10
01
01
00
11
10
00
11
10
10
00
10
11
10
10
00
00
10
00
01
10
10
00
11
01
11
00
01
11
10
10
01
00
11
11
00
10
00
00
10
10
10
00
01
10
00
00
01
01
10
01
10
00
01
00
00
10
00
10
11
00
11
11
10
10
00
10
10
10
01
00
11
01
01
00
00
00
01
10
00
10
10
11
00
00
11
00
01
11
11
00
10
00
00
00
10
10
10
10
10
01
01
00
01
01
00
10
00
00
10
00
01
00
11
10
10
10
00
00
00
01
11
00
11
00
11
01
10
01
01
10
11
11
01
10
11
01
10
00
01
00
10
10
01
10
11
00
00
00
00
10
10
00
11
00
01
00
10
10
00
01
11
11
00
10
10
11
00
00
11
10
10
00
00
10
01
00
10
11
00
10
11
01
00
00
10
10
10
00
00
11
10
00
00
01
10
10
10
00
00
00
00
00
10
11
00
10
00
00
10
10
00
01
00
11
10
10
10
10
01
01
11
00
10
00
10
00
01
10
11
00
10
01
10
01
00
00
10
00
11
11
00
01
00
01
00
11
11
01
00
10
10
00
00
10
00
00
00
11
10
10
11
00
10
10
10
11
10
10
00
10
00
11
10
10
01
00
01
01
00
01
01
10
10
01
00
10
01
01
10
00
10
10
10
10
00
00
10
10
00
00
10
01
10
11
00
00
10
10
00
01
00
00
00
01
00
10
10
10
01
10
10
11
00
01
10
10
00
00
01
11
11
00
00
10
10
01
10
10
10
01
00
00
10
11
01
10
00
01
01
11
01
00
10
11
00
00
10
10
00
10
10
01
10
01
01
01
11
10
11
00
01
10
11
00
01
01
00
00
00
01
00
01
10
11
00
10
10
00
10
10
00
11
00
10
10
10
11
01
11
00
10
10
10
00
10
10
00
00
10
00
00
10
10
01
10
10
11
01
00
10
10
01
10
01
11
00
10
10
00
00
01
10
00
10
10
01
01
11
10
00
10
00
11
00
01
10
11
00
00
10
10
11
01
10
11
10
10
00
01
01
10
00
10
11
11
00
11
00
00
11
00
00
00
11
10
00
01
11
11
00
10
10
10
11
00
01
11
00
00
01
00
01
01
10
10
10
00
10
11
00
10
00
10
10
00
10
00
01
11
00
10
00
11
01
00
10
10
11
10
10
00
00
00
10
10
00
10
10
10
01
00
00
10
10
10
10
00
00
10
10
10
11
00
10
11
00
00
11
10
00
00
10
11
00
00
11
00
00
00
10
11
11
00
11
10
00
10
01
10
00
00
11
11
11
00
10
00
00
10
01
01
10
11
10
00
00
00
01
10
10
11
00
01
10
00
11
00
00
00
10
10
10
10
01
01
10
10
00
10
00
10
10
10
00
10
01
01
10
01
11
01
11
10
00
00
10
11
01
10
10
00
01
10
10
00
10
11
00
10
10
11
00
11
10
10
00
01
10
11
10
11
00
01
00
00
00
01
10
10
00
10
00
00
10
10
00
00
10
11
10
00
01
00
01
10
11
10
10
00
11
00
00
10
10
00
10
10
10
00
00
00
11
01
10
00
00
10
11
00
01
00
10
10
11
11
11
00
00
10
11
00
00
11
00
01
10
00
00
10
11
10
00
01
10
10
11
10
11
11
10
01
00
00
11
10
00
00
00
11
10
00
11
10
10
00
10
01
11
00
00
11
10
01
00
01
10
11
00
10
10
00
01
01
01
01
10
10
00
00
10
00
01
11
01
11
10
10
10
00
11
01
01
10
01
01
00
10
10
01
01
00
00
10
10
01
00
11
10
00
01
01
11
00
00
10
00
10
00
00
00
10
10
00
10
10
11
11
10
11
00
01
10
10
00
10
01
00
11
00
00
00
11
10
10
11
10
01
00
10
01
10
01
01
01
11
10
10
11
10
00
00
10
10
00
00
11
01
00
00
11
01
10
00
00
01
10
10
00
11
10
11
10
01
00
10
00
10
10
11
10
00
00
00
10
11
01
01
10
01
00
01
10
00
10
10
00
11
00
00
10
10
10
11
00
01
00
01
01
10
00
10
10
00
00
10
11
01
00
01
00
01
00
00
01
01
01
10
10
00
11
11
00
11
11
01
00
00
00
10
00
00
01
11
11
00
01
11
00
10
10
00
00
10
11
10
10
01
10
10
10
11
00
00
10
11
10
00
00
00
00
01
00
01
01
00
00
10
10
10
10
10
00
10
00
10
01
00
10
11
10
00
00
10
00
11
10
00
10
11
11
10
00
01
10
00
11
10
00
10
10
00
01
00
00
01
00
11
00
01
10
11
00
11
11
11
11
00
00
10
01
11
01
00
11
10
11
10
00
10
10
01
01
11
10
01
10
10
01
00
00
10
11
00
01
11
00
11
11
10
10
11
01
10
11
00
01
10
10
00
01
11
10
10
10
10
00
00
00
00
01
10
11
00
10
10
11
11
00
11
11
10
10
01
00
00
00
10
00
10
10
00
10
01
11
10
00
01
00
01
01
00
10
11
00
10
01
01
10
00
10
01
10
10
01
00
10
01
01
10
11
11
00
10
00
10
10
00
00
10
00
10
10
00
00
11
00
00
00
00
10
01
10
11
00
10
01
10
11
01
00
00
10
00
11
00
01
11
01
01
11
10
00
00
00
10
01
10
10
01
00
11
11
00
00
11
10
10
00
01
10
01
01
10
10
00
00
10
10
00
10
11
01
00
11
00
10
01
10
00
01
00
10
10
10
11
10
11
10
01
00
01
00
11
01
01
01
10
10
00
11
10
01
00
11
01
10
10
00
01
10
01
00
11
10
10
11
10
10
01
01
10
01
10
11
10
00
00
10
01
00
10
01
01
10
00
00
10
00
00
00
11
10
10
00
11
10
00
10
00
10
11
10
00
11
11
00
10
11
00
00
00
00
10
00
00
00
10
10
00
10
01
00
00
11
00
10
10
00
10
01
00
11
10
10
11
00
00
01
00
10
10
00
01
10
00
10
10
00
11
10
10
01
10
11
01
00
10
01
00
10
10
01
00
00
10
00
10
11
10
10
11
11
10
00
01
00
00
10
11
00
00
10
11
11
00
10
10
10
11
10
01
00
10
10
00
10
11
01
00
01
11
10
10
00
00
00
11
11
01
11
10
00
00
00
00
11
11
00
01
11
11
00
01
10
11
10
01
00
10
00
00
01
10
10
11
00
00
10
10
10
10
00
00
10
10
10
10
11
00
00
01
10
00
11
00
10
00
01
10
01
00
00
01
10
00
00
10
10
10
00
00
10
10
10
10
01
00
11
00
10
10
11
10
01
00
10
10
00
10
01
01
11
10
01
01
10
00
00
01
11
10
00
00
10
10
00
10
11
10
01
10
00
01
10
10
10
10
01
10
10
01
10
11
00
11
00
11
10
00
10
00
10
11
10
00
10
01
00
10
00
10
01
00
00
00
10
10
10
01
10
10
10
10
10
00
00
01
00
10
10
11
10
01
11
10
00
01
01
10
10
00
10
10
11
00
11
01
00
10
10
00
11
00
10
10
01
10
00
00
00
11
01
11
10
10
11
01
00
10
10
00
01
10
00
10
10
00
00
00
10
10
10
10
01
00
01
11
11
00
11
00
00
10
11
10
01
11
01
00
00
11
10
01
00
11
11
01
10
00
10
11
00
00
00
10
00
00
01
10
01
10
01
01
00
01
10
11
00
00
10
10
00
10
00
00
10
01
11
00
10
10
11
00
01
01
10
01
00
00
10
11
00
00
10
10
11
01
11
00
11
11
00
00
11
11
01
01
00
00
01
11
01
00
10
10
00
01
00
10
10
00
01
00
10
10
01
00
00
10
11
10
00
01
10
01
00
00
00
11
10
10
11
11
01
00
10
00
10
01
10
11
00
11
00
00
01
10
11
00
10
10
10
10
01
01
00
00
10
10
01
10
11
10
01
10
10
00
10
00
00
10
00
00
00
10
00
01
01
00
00
10
11
01
11
01
10
10
00
01
10
11
01
11
01
10
01
01
10
01
11
10
00
01
11
10
00
01
01
10
10
00
01
01
10
00
00
00
11
00
00
11
10
10
00
10
00
10
00
10
10
01
01
01
10
11
00
00
00
10
10
01
00
10
00
10
10
00
00
01
00
11
10
01
00
00
10
10
10
10
00
00
10
00
01
00
10
11
00
10
10
00
00
10
01
10
00
10
11
00
01
10
10
00
10
00
01
10
01
11
10
10
10
00
11
10
00
01
00
11
11
00
00
00
00
10
10
00
10
00
00
10
01
00
10
10
00
11
11
01
00
00
00
10
11
10
10
00
00
11
00
10
10
00
10
10
00
10
01
11
01
10
10
10
10
10
00
01
00
10
10
00
00
10
00
00
10
10
10
00
00
00
10
00
11
11
01
01
01
00
10
00
00
01
10
11
00
10
10
10
00
11
10
00
10
00
10
00
00
11
00
11
01
10
00
00
01
10
00
01
10
00
01
00
10
00
00
11
10
10
00
10
10
10
11
00
11
10
01
00
00
11
01
00
11
10
00
11
11
00
01
01
11
00
10
00
00
10
10
10
01
01
11
10
00
10
10
01
01
10
11
00
00
10
01
01
00
10
10
10
00
00
10
11
00
10
11
10
10
01
01
01
10
01
00
01
10
11
01
00
11
00
11
11
10
01
10
01
00
01
10
10
00
10
00
00
10
11
00
10
10
10
00
11
11
00
00
10
10
00
01
10
01
00
11
00
11
00
10
10
00
00
00
10
11
01
11
10
00
10
00
00
10
00
01
10
11
00
10
11
10
11
00
00
10
11
00
00
11
11
10
00
01
10
00
10
00
00
10
10
01
10
00
00
00
00
11
10
01
00
00
10
00
01
11
00
00
01
10
00
10
10
00
00
11
01
11
00
11
10
00
10
11
00
10
00
00
00
00
11
01
00
10
00
01
00
11
01
10
01
10
11
01
10
00
00
10
11
00
10
10
00
10
11
00
10
10
10
01
01
11
10
10
11
11
10
01
11
10
01
01
10
11
00
00
00
10
10
00
11
11
11
00
11
00
11
01
00
10
11
11
00
10
00
00
10
10
10
10
00
00
11
00
01
01
11
10
10
11
10
11
10
10
00
11
11
00
10
10
01
10
00
00
10
01
00
11
00
00
11
10
00
00
10
10
00
01
10
10
01
00
00
00
01
00
10
10
10
11
10
00
10
11
10
00
00
00
10
10
11
01
11
10
00
10
01
01
01
10
11
00
00
00
10
10
01
10
00
00
10
10
00
01
11
10
00
11
00
10
11
01
01
11
00
10
11
10
10
10
00
01
10
11
10
10
00
00
11
10
00
01
00
11
01
10
10
00
10
10
01
00
11
00
00
00
10
10
00
10
10
11
00
01
10
11
01
00
00
11
00
00
10
10
00
01
11
00
10
10
00
10
00
11
11
01
10
00
10
10
00
00
10
00
11
00
11
01
00
11
11
10
11
00
00
00
10
01
10
10
01
00
00
11
00
00
10
11
11
00
00
10
10
00
00
10
00
00
11
10
00
11
11
10
10
10
00
10
01
00
10
11
00
11
10
01
00
10
11
00
11
01
10
00
10
10
11
11
10
01
10
10
00
10
10
11
00
00
00
10
01
00
00
01
11
11
10
00
10
01
00
11
10
00
11
10
11
10
10
00
00
01
00
11
10
11
00
11
00
01
10
11
10
00
00
10
00
00
10
11
11
00
10
00
11
11
11
00
00
00
10
11
10
10
01
00
00
10
11
01
01
00
10
10
11
00
10
10
01
00
10
10
01
00
10
01
10
01
00
01
10
10
00
00
10
10
01
01
00
00
10
10
01
10
10
11
11
00
10
01
11
01
10
10
01
00
11
10
11
00
10
00
00
10
10
01
11
10
01
10
10
11
01
01
01
10
00
00
10
10
00
00
10
10
00
01
00
11
00
10
00
00
00
00
10
10
10
10
10
01
10
01
10
00
10
10
01
10
01
00
00
10
00
11
11
10
01
10
00
00
01
11
11
01
01
10
10
01
00
00
10
11
00
11
00
10
11
00
10
10
01
00
10
11
00
00
10
10
11
00
01
00
00
11
11
00
01
10
10
10
00
01
11
10
00
10
10
00
00
11
10
00
10
10
10
00
00
11
00
01
00
01
10
10
01
00
00
10
00
01
00
11
10
10
10
10
10
00
01
11
00
11
01
10
10
00
00
10
10
00
00
11
10
00
11
11
00
01
10
11
00
11
11
11
10
00
00
10
01
00
10
11
00
11
10
10
00
10
01
00
01
01
00
10
01
01
00
00
10
00
10
11
01
00
10
10
10
10
10
01
00
11
10
10
00
01
10
00
00
10
10
00
00
11
00
00
10
10
10
10
00
00
10
01
00
00
10
00
10
00
10
10
00
01
01
10
01
10
11
10
10
01
01
11
10
11
00
00
00
10
10
00
00
11
11
10
01
00
10
00
10
00
10
10
00
10
10
01
00
10
01
00
10
10
11
01
11
11
00
10
00
11
11
01
01
10
00
11
10
00
11
10
00
00
01
10
01
01
10
01
00
00
01
00
01
10
00
01
10
01
10
00
01
10
11
10
00
01
11
00
01
10
10
00
00
10
11
10
10
01
11
00
01
00
00
00
10
10
00
10
00
01
00
01
11
00
10
00
10
01
11
10
01
10
00
00
10
00
00
10
10
10
10
00
10
00
11
11
11
01
00
01
00
11
10
00
00
10
00
10
00
00
10
10
10
11
10
01
11
10
10
10
00
00
00
10
11
10
01
01
00
00
01
10
10
00
00
11
00
00
00
01
10
01
11
00
00
11
01
01
10
11
00
00
11
11
10
00
01
10
00
11
01
00
11
00
10
00
01
10
11
10
00
00
00
10
10
00
00
10
01
10
10
11
01
00
11
10
01
11
00
01
10
00
01
10
11
10
00
01
01
10
00
00
10
10
11
00
10
00
00
00
11
00
00
10
00
11
10
10
11
01
00
01
11
01
00
00
10
00
00
10
10
00
10
00
00
11
00
00
00
10
10
01
11
00
01
11
11
10
00
11
00
10
11
11
00
00
01
10
10
01
11
01
10
00
01
11
10
01
00
11
10
10
10
01
00
10
01
11
00
00
10
01
11
01
00
10
10
01
01
11
10
01
01
00
00
10
11
00
10
00
10
11
00
10
01
10
00
10
10
01
01
11
10
00
00
00
10
10
10
10
00
01
01
00
11
00
11
10
01
10
10
00
10
00
00
10
01
00
00
00
10
10
00
10
10
00
00
00
10
10
10
00
11
01
01
01
01
10
01
11
00
10
11
01
00
01
10
00
01
10
10
00
00
10
00
00
11
00
00
00
00
10
10
00
11
10
10
00
00
10
00
10
10
10
01
10
10
00
10
10
10
00
01
10
01
10
11
10
01
10
10
00
10
00
00
10
11
00
00
11
10
00
11
00
00
00
00
00
10
10
00
10
10
10
11
10
11
01
10
00
10
11
00
10
10
01
10
11
00
11
00
10
00
10
01
00
10
10
01
10
00
10
10
10
10
11
00
00
01
10
01
00
01
11
01
01
01
10
10
10
00
00
10
01
01
10
00
10
11
00
00
10
11
01
11
10
00
10
11
00
01
00
11
10
00
01
10
01
00
10
01
10
10
00
10
10
10
00
00
10
10
00
10
10
01
00
00
10
00
00
01
00
11
10
01
10
10
00
00
00
10
00
00
00
10
10
11
11
10
11
00
10
00
01
01
10
10
00
11
00
10
10
01
01
01
11
11
01
10
01
01
11
01
01
10
10
10
00
10
00
10
00
10
10
11
10
00
01
01
11
00
10
10
01
00
10
11
00
00
01
10
11
10
00
00
10
00
10
00
00
10
10
00
00
10
00
10
00
10
11
00
10
00
01
01
11
00
10
11
00
10
10
10
01
01
10
10
11
00
10
10
01
01
10
00
10
11
11
10
10
00
01
01
10
10
00
10
00
10
10
10
00
10
00
00
11
10
00
10
11
00
00
00
10
00
11
00
10
11
01
00
00
11
00
01
10
11
11
01
10
01
10
10
11
01
10
01
10
11
01
00
00
11
01
10
00
01
11
10
00
11
01
00
01
11
11
10
00
01
11
11
00
00
10
01
01
11
01
00
00
01
11
00
10
10
00
00
01
10
11
00
00
10
01
00
00
00
11
10
00
00
10
00
10
00
10
11
00
10
01
01
11
00
11
01
10
11
00
01
10
11
01
01
00
01
10
10
00
00
10
10
00
01
11
00
10
11
00
10
00
00
00
00
11
10
10
00
00
00
11
11
10
01
00
10
10
00
00
11
00
11
01
11
10
00
11
01
10
00
11
10
00
00
01
10
10
10
00
01
00
00
10
10
00
11
00
00
00
10
10
00
00
10
10
00
11
10
11
10
00
00
10
10
00
01
10
10
10
10
10
00
00
00
01
10
10
10
11
10
11
10
00
01
10
01
11
00
00
00
00
01
10
10
00
10
10
01
11
11
11
00
01
10
01
01
10
01
00
11
01
01
11
11
01
00
11
10
11
10
01
00
10
10
00
11
10
01
10
11
00
00
00
11
11
01
10
11
10
00
10
11
11
01
11
11
00
10
10
00
00
00
01
11
10
10
00
10
11
00
00
00
00
11
10
10
11
00
00
11
10
11
10
00
10
10
01
00
10
00
00
00
11
00
00
00
11
01
00
01
01
01
11
10
10
01
11
10
01
00
11
00
11
11
01
01
01
10
10
00
00
00
01
10
10
11
10
10
00
10
01
11
11
10
11
00
00
11
00
00
11
00
01
00
00
01
10
11
00
00
10
10
00
10
10
00
11
10
00
00
10
11
00
11
00
11
00
01
11
01
10
11
00
00
00
10
11
00
00
11
10
11
10
01
00
00
00
01
10
11
10
00
00
10
01
01
00
10
11
00
00
00
10
10
00
00
01
10
00
00
10
11
01
10
10
01
01
01
11
11
00
01
10
00
11
10
01
00
00
11
10
10
10
10
00
00
00
00
10
10
11
01
10
01
00
10
10
10
00
10
01
01
01
00
00
11
00
10
10
00
01
10
01
00
10
10
11
11
10
00
10
00
10
10
00
00
11
10
01
00
11
10
10
01
01
00
11
10
10
00
00
10
11
11
00
00
10
00
00
10
00
01
00
01
10
11
10
10
00
10
01
10
10
10
00
10
10
00
00
00
10
10
10
11
01
00
00
00
10
10
00
00
10
11
01
11
00
01
01
00
10
00
11
00
01
10
10
01
10
01
01
10
00
00
10
10
10
11
00
01
11
10
10
11
11
00
01
10
11
00
10
00
01
10
10
10
00
00
00
01
10
01
10
10
00
11
00
10
01
10
00
00
10
00
00
10
11
11
11
10
10
00
11
00
10
10
01
01
00
00
11
11
01
00
11
10
00
10
11
00
00
10
10
10
00
00
01
11
10
10
10
10
01
00
10
11
00
01
11
00
00
01
00
00
11
10
10
00
00
00
00
00
11
01
10
10
11
00
01
00
10
10
10
01
11
11
00
10
00
01
00
10
10
00
00
10
01
10
10
10
01
01
00
00
01
00
10
10
10
11
00
10
01
00
11
10
10
00
10
10
00
00
11
11
01
00
00
10
11
10
00
01
10
10
11
00
00
11
01
10
00
00
10
11
00
01
11
10
00
01
00
01
11
10
11
00
10
00
10
11
00
10
10
01
10
11
00
10
10
01
00
00
11
11
01
11
00
00
00
10
10
10
10
00
00
10
00
01
10
00
10
00
00
00
00
10
10
10
00
00
01
01
00
11
00
01
00
11
00
11
11
10
01
11
10
01
10
00
01
00
11
10
11
00
01
10
10
10
11
10
10
00
00
00
11
10
10
10
11
00
10
10
00
10
10
11
01
00
00
00
11
10
10
01
00
00
11
10
01
10
01
10
10
10
10
01
00
11
00
11
00
11
11
11
00
00
01
10
10
00
00
10
01
00
10
10
00
10
00
11
10
01
01
01
01
10
10
01
00
11
10
00
01
01
10
10
11
01
01
00
11
10
01
11
00
00
10
10
01
01
10
00
00
10
11
00
10
10
11
00
10
10
01
10
11
10
10
01
10
00
00
01
10
10
10
00
10
10
00
01
01
00
01
11
10
00
01
10
10
00
00
00
01
00
01
10
00
10
10
00
10
00
00
00
10
00
01
00
01
00
10
11
10
10
01
10
00
00
10
01
10
10
01
10
01
10
10
10
10
00
10
10
00
00
10
01
10
10
01
11
01
10
10
10
10
01
00
10
10
10
00
10
00
00
00
10
10
01
10
00
11
00
00
01
11
00
01
10
11
10
01
01
00
11
10
10
10
01
00
10
11
01
11
10
01
00
10
10
10
00
00
10
00
00
10
10
10
01
00
00
11
10
00
10
11
10
00
00
01
00
11
00
01
11
00
11
11
00
10
00
00
01
01
11
11
00
11
10
00
01
11
11
00
10
00
01
10
10
11
10
11
00
00
11
10
00
01
00
10
10
10
01
11
11
00
11
01
11
00
00
11
10
10
00
00
00
11
10
10
10
00
11
00
01
00
00
01
00
10
11
00
00
10
00
00
10
11
10
11
10
10
11
11
00
01
00
10
00
00
00
00
10
10
00
00
00
00
11
11
10
00
10
01
00
00
10
01
00
10
10
11
10
10
10
01
10
10
00
00
00
10
10
10
10
01
00
10
00
00
10
00
10
10
11
10
00
01
11
00
01
11
11
11
01
00
00
10
11
10
01
00
11
10
10
01
00
00
11
10
01
10
01
10
00
00
01
00
11
00
00
00
00
00
11
10
01
00
10
01
00
00
10
01
00
01
10
11
11
00
10
00
11
10
00
01
00
01
00
10
10
10
00
00
10
10
00
10
00
00
10
10
10
00
00
00
00
10
11
00
10
11
10
10
00
01
10
10
10
00
01
10
10
01
01
10
00
00
00
00
10
10
01
00
00
00
00
00
01
00
10
00
01
10
11
00
00
01
10
10
01
10
11
10
01
10
11
11
11
00
11
01
01
00
01
11
11
00
10
00
01
10
01
10
00
01
10
00
00
10
10
01
10
10
00
01
00
00
00
10
10
01
10
01
00
00
10
00
00
01
00
01
10
11
11
00
00
10
10
00
01
01
10
00
00
10
01
01
00
10
10
10
01
01
10
00
11
11
11
00
00
11
10
01
00
10
10
01
01
10
00
00
00
10
11
01
11
00
11
10
10
00
00
00
10
11
00
00
10
01
10
00
00
10
10
10
01
01
00
10
11
01
01
00
00
00
00
00
10
11
10
10
01
00
00
11
01
00
10
10
01
10
10
01
10
11
10
10
10
10
11
10
00
00
10
10
11
00
00
00
10
10
01
11
11
00
01
10
10
11
00
10
00
01
10
10
10
10
00
10
01
01
00
11
10
10
10
10
00
10
11
01
10
10
10
00
01
10
11
01
10
00
01
10
00
10
10
10
01
10
10
00
00
00
01
01
00
10
11
00
01
10
11
01
01
10
00
01
10
00
00
01
10
01
00
01
01
00
10
10
00
10
00
00
00
10
01
10
11
11
10
10
11
00
00
00
10
11
00
01
00
00
00
10
00
10
11
10
10
01
00
10
10
01
11
01
01
00
10
10
00
00
00
10
10
00
00
10
11
00
10
00
00
10
01
10
10
10
00
00
00
01
10
11
01
00
01
00
00
10
10
00
10
10
10
00
10
11
01
11
00
00
00
00
10
10
10
01
10
11
10
00
00
10
11
00
11
10
11
01
11
11
00
10
11
11
11
01
01
11
10
10
00
00
10
11
01
00
00
01
10
10
01
11
10
11
00
00
10
11
00
01
00
10
00
00
10
01
01
11
00
01
00
10
00
10
10
01
00
11
10
10
00
00
10
01
10
11
11
10
10
01
11
10
11
01
11
00
00
10
00
00
01
01
10
00
10
01
01
00
10
11
00
00
01
10
10
00
01
11
00
00
11
01
11
10
10
00
00
11
11
00
00
01
11
00
10
11
00
01
00
10
11
00
11
10
10
00
10
11
00
00
10
00
00
01
00
00
00
00
11
10
00
10
00
10
10
01
01
00
00
10
00
10
10
10
10
00
00
00
01
00
10
10
10
00
10
00
01
11
00
11
10
01
11
10
01
01
00
10
10
00
00
10
10
10
10
00
00
10
00
00
00
10
00
01
00
00
10
11
10
11
10
10
10
00
01
00
10
11
10
11
11
00
00
00
00
10
10
01
00
10
10
10
00
10
10
00
10
00
11
00
01
01
10
11
01
00
10
00
01
10
00
00
00
01
10
10
01
10
10
01
10
10
00
10
00
00
10
10
00
00
01
11
10
10
00
00
10
01
10
01
00
00
00
10
11
00
00
11
00
10
00
11
10
11
01
01
11
11
00
11
00
00
00
10
10
10
00
00
01
00
00
01
10
01
00
11
01
00
10
00
00
11
00
00
10
11
00
11
00
10
10
11
11
01
00
10
10
00
10
10
01
01
01
00
10
10
00
00
01
10
10
10
00
01
00
10
01
10
10
01
10
11
11
11
01
01
00
01
10
10
10
01
00
11
10
10
10
10
10
10
10
00
00
10
00
00
01
01
01
10
01
01
00
10
10
11
00
10
10
10
01
11
10
01
10
00
10
10
00
11
11
00
10
10
00
10
11
00
10
10
00
00
01
01
00
01
11
00
00
10
00
01
11
10
00
10
11
00
10
00
01
00
10
00
10
10
10
01
01
11
00
01
10
00
01
10
00
00
11
10
11
01
10
00
01
10
10
01
01
10
01
11
00
00
10
11
00
01
10
10
10
00
10
00
11
10
10
01
00
00
10
00
00
00
10
10
10
11
10
11
10
10
10
10
01
00
01
11
01
11
11
11
01
11
10
10
10
10
01
00
00
10
11
00
01
00
10
00
10
10
10
10
00
01
11
00
10
00
01
10
10
01
11
10
10
01
01
00
10
10
00
01
10
10
01
10
10
00
00
10
00
00
10
10
00
11
00
11
11
10
01
11
10
00
00
11
01
01
00
10
10
01
01
01
10
10
01
10
01
00
00
10
00
11
11
10
11
11
01
00
01
00
11
10
00
10
10
10
00
00
11
10
01
11
01
00
10
10
10
10
01
00
11
11
00
10
10
00
00
00
11
10
00
01
00
00
01
10
00
10
10
00
00
10
10
01
10
00
11
11
00
11
00
10
10
11
00
00
00
11
10
01
00
00
11
10
00
00
10
10
01
10
10
10
10
10
01
10
00
00
00
00
00
10
10
11
01
10
00
00
10
10
11
00
10
10
10
10
01
11
00
00
00
10
01
00
10
10
10
11
00
10
10
10
11
01
01
10
01
01
10
01
10
11
11
00
00
00
11
10
01
00
00
10
10
11
11
10
10
10
00
10
10
01
10
10
00
01
00
11
10
00
00
01
00
11
10
00
00
00
00
00
00
10
10
11
11
00
01
00
01
10
10
00
00
10
11
00
00
01
10
00
10
11
00
01
10
11
11
10
01
00
11
11
01
00
10
10
01
10
11
10
01
00
00
10
01
10
10
00
00
10
11
00
11
11
10
00
00
10
00
01
10
10
00
00
10
00
01
00
11
11
11
10
00
00
11
11
01
00
10
00
10
00
00
11
00
01
01
00
10
00
00
10
10
00
00
00
00
00
10
11
00
10
00
00
00
11
11
01
10
00
11
00
11
10
11
00
00
00
00
01
11
10
10
01
00
00
11
10
10
00
11
10
00
00
00
00
00
01
11
11
11
00
10
11
11
01
00
00
10
10
10
01
00
00
10
10
00
11
11
10
00
00
11
11
00
00
10
00
11
00
01
10
01
11
00
10
00
10
11
00
10
11
10
01
01
00
01
00
10
11
10
00
11
00
00
00
00
10
11
10
00
10
10
11
10
01
00
10
01
01
11
00
10
10
00
10
00
01
01
00
11
00
11
10
00
01
00
10
10
10
00
00
11
10
10
10
10
00
00
00
10
10
10
00
11
01
01
10
10
00
10
00
00
11
10
10
10
01
01
10
11
10
00
01
11
10
10
10
01
10
10
10
01
10
00
00
11
01
00
10
00
00
10
00
10
00
00
10
00
10
10
01
01
01
01
11
00
10
01
10
10
00
00
10
11
00
11
10
00
01
11
10
11
10
00
01
00
10
00
00
00
10
10
01
10
10
10
01
00
11
00
00
10
01
00
11
10
11
01
10
11
01
00
10
10
01
00
10
10
00
11
00
10
10
01
10
11
10
01
01
11
00
00
10
00
00
10
01
10
11
10
00
10
10
00
00
01
10
00
00
01
00
00
10
11
00
11
11
01
01
10
00
10
10
00
00
00
10
10
00
11
10
01
00
10
10
01
10
00
10
10
11
01
11
10
00
00
11
00
10
00
01
10
11
01
00
01
00
11
11
11
00
00
10
00
00
01
10
00
00
11
00
00
00
10
00
01
11
10
10
00
11
10
00
00
01
01
11
01
01
00
10
00
10
10
00
01
11
10
01
10
10
11
01
00
00
00
11
01
11
11
10
01
00
11
11
00
00
10
10
01
10
11
11
00
01
11
01
00
01
10
00
00
10
10
10
11
10
01
00
01
10
01
11
00
11
10
01
00
00
01
10
00
01
00
10
10
00
00
00
10
10
00
10
00
10
10
10
00
00
10
10
10
00
00
10
00
00
00
10
01
00
11
10
10
10
10
10
01
00
11
10
00
11
11
00
00
10
10
10
10
00
10
00
10
11
00
11
10
00
10
00
01
10
01
01
10
10
10
10
11
00
10
00
00
11
00
01
10
00
00
00
11
00
11
11
01
10
10
01
01
10
10
11
00
10
10
00
00
00
00
10
10
00
11
10
01
00
10
00
10
01
01
00
11
10
00
10
10
01
10
01
00
11
11
10
10
00
11
11
10
00
11
11
11
00
00
00
10
10
10
11
00
00
00
01
01
10
00
00
00
00
10
01
10
10
11
11
00
01
10
10
00
00
10
10
00
00
10
00
10
01
01
00
00
11
00
01
10
01
10
10
00
01
10
11
10
00
10
11
00
10
10
00
10
00
01
01
01
11
10
10
11
00
00
10
00
01
01
10
00
00
10
01
00
10
11
00
11
10
00
10
11
01
00
10
11
10
10
01
10
00
10
11
00
10
11
00
01
00
01
10
00
10
11
00
00
00
11
00
00
00
10
10
00
01
11
11
11
00
10
11
11
11
01
00
01
01
00
10
10
10
10
10
01
00
01
00
01
10
00
00
10
01
01
00
10
10
00
01
10
10
11
00
01
00
11
10
00
11
10
00
00
00
10
00
10
00
00
11
00
10
11
10
10
01
00
10
10
00
00
00
01
01
10
10
01
00
00
00
01
10
11
10
11
00
10
00
00
00
01
10
10
10
01
00
10
01
00
00
10
10
00
11
00
00
00
01
00
01
11
00
11
00
00
11
00
10
11
00
01
10
11
10
00
10
11
00
11
10
00
10
01
10
00
00
10
00
00
00
10
00
00
00
10
00
01
10
00
01
00
00
01
10
10
00
10
00
01
10
11
01
00
10
00
10
10
00
10
10
00
01
10
01
00
00
00
00
01
10
10
00
10
11
11
10
10
10
10
00
00
01
01
11
00
00
01
00
01
00
10
10
01
10
00
11
00
01
01
01
10
11
00
01
00
00
10
10
10
00
10
10
10
00
11
01
00
00
01
00
00
01
10
10
00
11
11
00
10
00
00
10
01
10
00
00
10
01
10
00
01
00
11
00
10
01
10
11
11
00
01
01
01
00
11
10
00
01
10
11
00
00
10
11
00
00
00
10
00
00
10
01
10
01
01
10
00
11
10
10
10
00
10
01
01
00
10
10
00
10
11
10
00
11
00
00
00
10
10
00
10
11
11
11
00
01
00
10
11
00
00
10
00
00
11
11
10
01
10
00
10
01
00
11
10
10
00
10
10
00
00
10
00
01
00
01
11
10
01
10
10
00
11
10
01
01
11
10
00
00
11
10
00
01
11
10
10
11
10
10
00
00
11
10
11
10
01
01
11
00
01
10
10
11
10
01
01
10
10
00
10
00
10
11
00
11
11
11
01
00
10
00
01
10
10
10
01
11
11
00
11
10
00
00
11
01
10
10
01
10
00
01
10
01
00
01
00
10
10
00
10
10
10
00
11
10
10
00
00
10
00
10
10
10
10
01
01
00
00
00
10
11
10
01
10
11
10
01
00
01
00
00
00
11
11
01
11
10
00
10
01
01
10
10
00
00
11
10
01
00
11
11
00
00
10
11
00
00
11
01
10
00
00
10
10
00
00
10
11
00
10
10
01
10
10
11
00
00
00
00
10
10
10
00
10
10
00
00
11
00
00
10
01
10
10
01
10
10
00
00
00
00
00
10
11
10
00
10
00
00
11
01
10
11
00
00
10
00
00
10
00
01
10
01
00
10
10
00
00
01
10
11
00
00
10
11
10
10
10
10
10
01
00
10
10
00
01
11
01
00
10
10
00
01
11
01
00
11
00
11
11
00
01
10
10
10
11
01
01
01
10
11
11
10
10
01
00
00
00
10
11
11
11
00
10
00
11
01
01
00
10
11
11
10
01
01
00
00
00
10
00
01
10
10
01
00
11
01
01
11
11
01
00
10
11
00
10
10
00
00
00
10
11
00
01
10
10
10
11
01
00
10
01
10
00
01
00
01
10
10
10
01
00
10
01
01
01
01
01
10
01
10
00
01
10
10
10
01
11
01
00
01
00
10
00
01
10
11
01
00
00
11
00
00
00
10
10
00
00
10
10
10
01
10
01
00
10
00
10
00
10
11
00
10
11
01
00
00
00
10
01
01
11
10
10
10
10
11
01
10
11
10
00
10
10
01
00
10
10
00
11
01
01
00
10
10
00
10
01
00
10
10
10
10
10
01
01
10
01
00
11
10
11
00
00
00
10
00
10
11
10
00
00
11
00
11
01
01
10
10
10
11
00
00
10
10
00
01
00
10
10
00
01
01
10
00
11
00
00
01
10
10
00
01
11
01
10
10
01
01
10
00
00
10
11
01
10
01
10
01
01
11
10
10
10
01
10
01
00
10
10
10
10
00
10
10
10
01
10
11
01
00
00
10
00
01
00
10
10
10
00
11
00
00
11
00
11
10
10
00
00
00
10
10
01
10
01
10
00
00
10
10
00
00
10
10
00
00
00
00
10
10
10
11
10
00
01
10
11
01
10
10
00
00
11
10
00
10
10
11
01
10
10
00
00
01
00
11
10
01
10
01
10
11
01
01
11
11
10
01
11
11
00
00
10
10
00
00
11
10
10
01
10
11
10
00
01
11
00
10
10
01
00
10
11
00
10
11
10
00
10
11
10
10
00
00
00
11
10
00
10
00
00
01
00
10
11
10
11
01
11
10
10
10
00
01
11
00
01
00
01
10
00
10
10
00
10
10
00
00
10
10
10
10
11
00
00
01
10
10
00
10
10
00
11
00
00
11
00
00
11
10
00
10
10
00
01
11
11
11
11
00
01
11
00
00
10
11
01
01
10
01
10
10
01
01
10
10
00
01
00
11
10
11
01
10
00
00
00
11
00
00
11
10
01
00
10
10
01
11
11
10
01
10
00
11
10
00
01
10
10
00
01
11
11
00
11
00
11
11
00
01
01
10
10
10
00
00
10
00
11
10
10
00
00
10
00
10
00
10
11
10
00
00
00
11
10
00
00
10
00
01
00
11
10
00
10
00
10
10
00
00
11
10
01
11
10
00
11
00
10
10
01
00
01
11
01
00
10
00
00
10
10
11
10
01
10
00
00
01
10
00
00
11
11
00
01
00
10
01
00
10
10
01
00
00
10
01
00
01
00
10
10
00
11
10
11
00
10
10
00
10
10
01
00
01
01
00
01
10
01
01
11
10
10
01
11
10
00
10
00
00
10
10
00
00
11
00
10
00
10
10
10
10
11
10
01
00
10
01
10
00
00
00
00
01
10
10
00
01
10
00
01
10
11
00
11
10
11
00
00
10
10
00
00
00
10
00
10
11
01
10
01
10
10
00
00
10
11
10
00
00
01
00
11
00
00
00
11
00
11
10
11
00
01
11
10
01
01
00
11
00
01
10
11
00
00
11
10
01
00
00
10
10
00
00
00
11
00
10
10
10
00
11
11
10
00
00
10
01
10
01
00
11
00
00
10
10
10
00
01
01
10
10
10
10
00
00
00
00
10
11
01
11
10
00
10
01
00
10
01
00
00
01
11
11
00
00
10
10
00
01
00
11
00
10
00
11
10
10
10
10
00
01
10
00
00
11
00
00
01
10
10
00
00
10
10
10
10
00
11
01
10
00
00
00
10
10
00
00
00
10
01
00
00
10
00
11
11
00
11
10
10
01
10
00
01
11
01
00
10
10
01
10
00
00
10
10
01
00
10
01
10
10
10
11
00
11
00
11
10
11
01
10
01
00
01
01
10
10
01
11
10
10
10
10
10
10
00
00
01
10
00
00
10
11
00
01
00
11
11
10
00
00
10
10
01
10
01
00
11
00
00
10
00
11
11
11
01
10
00
10
00
00
11
10
00
11
10
10
10
10
01
11
01
00
10
00
11
10
00
01
11
00
10
10
11
11
00
00
01
10
10
00
00
00
10
00
00
10
10
00
11
10
01
10
10
00
10
01
11
01
11
01
00
10
11
11
00
01
11
10
11
00
00
00
11
10
10
11
00
00
11
00
10
10
01
00
10
11
10
10
10
10
10
11
00
00
00
10
00
10
11
01
10
10
01
10
10
00
00
10
10
00
00
00
10
10
10
00
11
10
00
00
00
00
10
00
11
10
01
00
10
01
10
11
00
00
11
10
11
11
11
01
00
10
11
00
10
01
00
10
11
11
00
01
00
00
00
00
01
10
11
01
00
11
01
10
00
10
10
00
00
11
01
00
01
00
00
11
10
00
10
00
10
00
10
10
11
00
10
01
00
11
10
00
10
00
00
11
11
11
10
00
00
10
00
00
00
10
10
00
10
10
01
00
10
00
01
10
00
00
10
10
00
01
11
01
00
10
01
10
01
00
01
10
10
11
11
00
00
01
00
11
00
11
10
00
01
10
10
01
00
01
00
10
11
10
10
00
10
10
00
11
00
00
00
10
00
00
11
01
00
11
10
10
10
10
11
11
10
01
01
10
10
10
00
10
00
00
10
10
00
00
11
00
01
01
10
10
11
10
00
11
10
01
01
10
11
11
11
00
10
00
01
10
01
00
10
01
10
11
10
01
10
01
00
10
00
00
00
10
10
11
10
11
00
00
10
01
11
00
00
10
01
00
00
11
10
11
00
01
00
01
01
10
00
00
10
10
11
01
10
10
11
11
01
10
11
00
01
11
01
00
10
00
10
10
11
10
10
00
00
11
01
10
01
10
10
00
00
11
01
01
10
00
01
00
00
10
10
00
00
10
11
11
10
00
01
10
00
11
11
10
10
10
01
00
01
10
00
10
00
11
01
00
10
10
00
01
10
11
01
01
11
00
00
10
00
00
10
10
01
10
10
11
00
00
01
00
11
11
00
00
11
10
00
00
00
11
11
10
10
10
00
00
01
00
10
11
00
10
10
10
00
01
11
11
11
01
00
01
10
10
00
01
10
11
10
00
10
10
00
10
01
00
00
00
11
11
10
00
00
10
00
10
11
10
10
00
10
10
00
00
10
00
01
10
10
10
00
00
00
10
00
00
01
11
10
11
00
11
11
00
00
10
00
01
10
10
01
11
11
00
00
10
01
00
10
01
00
01
10
11
00
10
10
00
00
11
01
10
00
00
00
00
10
00
00
00
10
01
10
00
00
00
00
10
10
01
10
11
00
11
10
00
00
10
00
00
10
00
11
10
01
11
10
11
00
01
00
01
00
11
11
01
11
00
11
00
00
10
00
00
11
10
01
00
10
00
01
01
10
01
00
10
00
10
01
01
01
10
10
10
10
01
00
01
10
10
10
11
00
11
00
00
01
10
11
00
00
11
10
11
10
00
00
00
00
01
10
10
10
01
00
00
11
10
00
00
00
00
00
11
00
01
11
00
10
00
10
00
00
00
00
11
00
01
10
01
00
01
10
11
00
11
00
01
11
11
00
01
10
10
00
00
11
10
01
01
10
10
00
10
11
11
00
00
00
11
00
00
00
10
10
11
00
10
10
00
01
11
00
00
00
10
00
10
00
00
11
11
10
01
01
01
01
10
00
00
11
10
10
00
11
10
00
01
10
01
00
10
10
10
01
00
10
11
01
11
01
10
00
00
11
00
00
10
10
00
11
11
01
10
00
01
10
00
11
10
00
01
11
00
10
00
11
10
10
11
00
00
00
11
10
01
00
10
10
00
11
00
10
10
01
10
01
00
00
00
01
00
10
00
00
10
01
00
10
10
00
01
00
00
10
10
10
00
00
10
00
00
10
10
00
11
10
11
00
00
00
11
11
00
00
00
10
10
10
10
00
10
11
00
01
00
10
10
10
00
00
01
10
00
11
10
00
10
00
10
00
01
11
00
11
10
00
00
00
10
00
00
11
10
10
10
01
11
00
01
10
10
11
00
10
11
00
01
00
01
11
01
00
11
00
00
01
00
11
00
00
10
11
11
01
00
10
00
00
01
00
00
11
10
00
10
11
10
00
00
00
11
11
00
00
01
01
10
10
10
11
10
01
00
10
11
10
00
00
10
01
10
10
10
10
10
01
10
01
00
10
00
11
00
01
00
10
00
11
11
01
00
10
00
01
11
10
11
01
00
00
00
10
11
10
01
10
10
00
10
10
10
00
00
00
00
10
00
10
11
01
00
00
10
00
11
10
11
11
11
11
10
00
00
10
00
01
10
11
10
00
01
11
00
11
00
00
01
01
11
00
00
11
11
00
01
00
10
00
00
10
01
10
10
11
01
00
10
10
11
00
10
11
01
11
10
00
00
01
00
00
00
00
10
00
00
10
00
11
10
00
10
10
00
01
10
01
11
00
10
01
11
10
10
01
10
10
01
10
10
00
10
11
11
00
11
00
10
01
11
10
10
10
01
00
10
00
00
00
00
10
11
10
00
01
00
00
00
10
00
00
01
11
01
00
10
10
00
10
00
00
10
10
00
00
00
10
10
10
00
10
10
00
00
00
01
00
00
10
10
10
10
10
00
10
11
11
10
00
10
10
00
01
10
10
11
10
10
00
01
00
10
10
10
11
10
11
11
00
10
00
00
10
00
01
10
11
10
00
00
10
00
10
01
10
11
11
00
10
10
10
11
00
11
01
00
10
10
01
10
10
00
10
10
00
10
00
11
10
01
01
11
00
00
10
11
00
01
10
11
01
10
11
01
11
11
10
01
10
11
00
10
01
00
10
10
10
01
10
00
00
10
11
01
01
11
11
11
00
00
10
00
01
10
00
01
10
00
00
00
10
11
01
11
01
11
10
01
01
11
00
01
10
11
10
00
10
10
00
10
10
00
00
10
11
10
10
00
11
00
01
00
11
11
00
01
10
10
01
11
00
00
11
11
10
00
00
01
00
01
10
01
01
10
00
00
10
10
11
00
00
01
00
10
01
11
11
10
11
11
01
10
00
00
01
00
10
10
10
10
10
01
00
01
10
10
00
00
10
00
00
10
10
01
01
01
10
10
00
10
10
00
00
10
01
01
00
01
00
11
10
00
00
11
11
00
01
10
01
10
00
00
01
00
11
00
01
10
10
11
10
00
00
10
11
10
00
10
10
01
01
00
01
01
10
10
10
01
00
10
10
10
10
00
10
10
10
01
10
11
11
11
11
11
10
00
11
00
00
10
00
00
10
01
00
00
01
10
11
10
10
00
10
10
10
00
01
01
10
11
10
10
00
00
00
10
01
00
10
00
00
11
10
00
00
00
00
11
10
01
11
01
00
10
01
10
10
00
10
11
10
01
00
01
00
10
10
00
10
01
10
11
00
10
10
00
00
00
01
10
01
00
01
00
01
00
11
10
00
00
10
10
01
00
00
01
10
10
11
01
10
11
11
10
00
11
10
00
11
01
01
10
10
01
10
00
11
00
00
10
11
01
10
10
10
01
10
10
10
10
00
11
11
01
00
00
01
11
00
10
11
00
10
11
10
00
10
01
00
00
11
00
01
00
11
10
10
10
00
00
11
11
00
10
10
00
00
00
11
11
00
00
10
00
11
10
01
00
00
10
00
01
10
10
00
11
10
10
00
11
00
00
01
00
01
10
10
01
01
00
10
10
00
00
01
10
01
00
10
00
01
11
10
11
00
01
10
10
01
11
01
01
00
11
00
10
10
00
01
10
11
01
10
10
10
11
10
10
01
01
11
00
01
10
10
00
01
11
00
11
11
10
00
01
10
11
00
00
00
10
10
10
00
00
01
11
10
01
11
11
00
11
10
00
10
11
11
00
00
00
00
10
01
10
10
10
10
00
10
10
00
10
10
10
11
11
11
01
00
01
00
00
01
10
10
01
01
11
11
00
10
00
10
01
00
00
11
10
00
00
10
11
00
10
00
01
10
00
10
10
11
11
01
10
11
01
11
10
00
00
10
10
00
10
10
10
10
10
00
10
01
00
00
00
01
00
10
10
00
00
10
11
00
00
10
01
10
01
00
00
11
10
01
00
10
10
10
11
11
10
10
01
01
10
10
01
01
01
00
10
00
01
00
11
10
01
11
10
01
11
10
11
00
00
10
00
00
10
00
01
10
11
10
11
10
00
01
10
00
00
11
10
01
10
01
01
01
10
01
11
11
11
00
00
11
10
01
10
11
00
10
10
01
00
01
00
10
11
00
01
00
10
10
10
11
00
11
11
10
11
10
00
10
00
00
10
00
00
10
00
10
00
00
11
00
01
10
11
00
01
00
10
11
00
00
11
01
00
10
10
10
00
10
10
00
00
10
10
10
00
01
00
11
11
10
01
00
00
11
10
00
01
10
10
00
11
01
00
00
10
00
10
01
00
10
00
00
10
00
00
11
01
10
00
10
00
00
10
10
01
10
01
00
00
01
10
10
01
00
11
10
00
10
10
00
10
10
00
00
00
01
10
10
00
01
10
01
10
01
00
00
11
00
00
11
10
01
00
10
00
10
00
11
10
01
00
00
00
10
01
00
10
11
00
10
10
10
01
11
11
01
00
10
01
10
01
01
10
10
00
00
11
00
01
00
11
10
00
00
10
11
00
00
10
01
10
10
10
00
10
10
00
10
00
00
01
01
10
11
10
10
00
01
01
10
10
11
01
10
10
00
00
10
10
01
10
10
10
10
00
11
00
11
00
10
00
10
00
01
10
10
01
00
10
01
10
00
10
00
00
01
10
10
01
10
10
11
10
00
00
11
01
00
11
00
11
10
01
10
00
00
10
01
01
10
10
00
10
11
10
10
01
00
00
10
10
10
01
00
10
11
10
10
01
00
10
01
00
01
00
10
10
10
10
10
01
01
01
10
00
10
01
11
00
10
01
00
11
11
10
11
00
11
00
10
11
01
01
11
01
00
11
10
10
00
00
10
11
10
01
00
11
10
00
10
10
01
00
00
10
11
00
01
00
00
00
00
00
11
11
00
10
10
10
10
10
11
00
11
11
11
00
10
00
01
10
01
10
00
01
01
00
11
10
00
10
00
11
10
01
01
10
00
10
11
01
10
00
00
00
11
11
11
10
00
00
01
10
10
10
11
11
00
00
00
10
00
00
11
00
01
10
10
10
01
01
00
01
11
00
10
10
10
10
01
00
00
01
11
10
10
00
00
00
01
00
01
11
10
00
10
10
01
00
11
11
10
00
10
11
10
10
01
10
10
00
01
10
11
10
10
10
00
00
10
10
00
10
10
00
10
10
10
00
01
00
11
01
00
01
11
10
01
11
10
10
10
01
10
10
00
11
10
00
11
10
10
00
10
00
10
10
00
00
00
11
10
00
10
00
00
00
10
11
10
10
00
00
11
11
10
10
01
10
01
00
10
01
00
11
00
00
10
10
11
00
01
10
10
00
00
00
00
10
10
10
10
00
11
10
10
00
00
10
01
00
00
00
11
10
01
00
10
01
11
00
00
01
10
10
00
10
11
10
00
01
00
00
00
00
00
10
10
00
10
10
10
00
11
01
00
10
11
00
01
10
01
00
01
10
11
10
00
01
11
11
01
00
11
01
00
10
00
00
11
10
01
01
00
11
11
00
01
11
10
00
10
10
10
11
11
01
00
01
00
00
10
10
00
00
11
00
01
11
10
11
10
00
01
10
10
11
01
00
10
00
01
11
11
00
10
11
00
00
00
10
10
10
01
11
00
10
10
00
11
10
01
10
01
00
11
10
11
10
11
11
01
00
10
10
10
00
00
01
10
10
01
11
11
10
01
00
10
10
00
00
11
10
00
01
11
10
10
00
00
10
10
00
10
11
00
00
10
00
01
00
11
00
00
01
00
10
10
01
11
01
10
11
10
00
11
00
00
11
10
00
01
00
10
00
00
11
00
00
10
00
11
01
01
00
11
11
00
10
00
10
01
10
00
00
11
11
10
10
11
10
01
00
10
11
00
00
11
00
00
00
11
00
00
00
01
00
01
00
11
00
00
10
00
00
10
00
10
00
10
01
11
00
00
10
01
01
10
10
11
00
11
00
00
00
10
00
00
00
11
01
10
10
10
11
00
00
01
10
00
01
11
10
10
00
10
00
11
00
00
01
10
00
01
10
00
10
10
10
10
10
00
01
00
10
10
00
11
00
10
00
10
11
00
00
00
10
10
10
10
10
11
00
00
10
10
01
10
11
00
11
10
00
01
11
00
10
00
00
11
10
10
00
11
10
00
00
00
00
00
01
10
01
10
10
00
00
00
00
11
01
11
10
10
10
00
00
00
11
01
10
00
01
10
10
10
01
11
00
10
01
00
10
10
11
01
01
00
01
01
10
00
10
10
10
11
01
01
10
10
00
00
01
00
10
00
10
00
10
10
00
10
00
10
00
10
00
11
11
00
01
10
10
00
10
11
11
00
00
01
10
01
10
10
00
00
01
10
10
01
10
10
00
00
11
10
10
10
01
01
00
10
01
10
11
10
11
00
10
10
01
10
11
10
00
00
00
10
11
11
01
10
01
00
11
00
10
11
01
00
01
01
10
10
10
11
10
11
00
00
11
11
10
00
00
01
11
10
00
10
00
00
10
11
00
00
00
10
00
10
10
01
10
10
00
10
10
01
00
01
10
11
10
00
00
00
10
10
01
00
10
11
11
10
01
01
10
01
01
11
10
01
00
10
10
01
00
11
11
00
00
00
10
01
10
10
00
10
01
00
10
00
00
00
01
10
11
11
01
01
01
01
11
00
01
10
10
00
01
10
11
10
01
00
10
00
00
10
10
11
10
10
10
00
11
10
10
00
11
11
10
00
10
00
01
10
00
10
00
10
00
10
11
01
11
10
00
10
10
11
00
11
10
00
00
00
01
00
01
10
11
01
10
00
11
10
01
01
00
01
10
10
10
10
01
11
10
00
00
00
10
10
00
00
00
10
00
01
00
01
01
11
11
10
00
10
10
00
01
01
10
11
01
00
11
11
01
01
00
11
11
10
00
00
01
10
10
00
11
00
00
11
11
00
10
01
00
00
01
10
11
10
01
00
00
00
11
10
00
01
10
00
00
10
01
00
11
01
10
10
10
00
10
00
10
01
11
00
00
10
01
01
11
01
00
01
00
10
01
10
10
10
00
00
00
11
00
11
10
10
11
10
00
11
01
00
01
01
11
00
11
00
11
10
00
00
00
10
00
10
11
10
01
10
11
00
10
00
10
00
00
10
10
10
01
01
01
10
00
00
11
10
00
01
10
01
00
00
11
01
10
10
00
00
00
10
10
10
11
00
00
10
00
10
10
00
10
10
00
10
01
10
01
00
01
01
01
11
00
10
10
10
10
00
00
01
11
00
00
00
10
00
00
11
00
11
10
11
01
00
01
10
10
00
00
00
01
10
00
00
10
00
01
01
00
10
00
11
01
01
01
00
11
10
00
01
11
11
00
01
01
01
11
01
11
10
00
00
00
11
10
00
00
10
01
10
10
10
10
00
10
01
00
11
10
00
11
10
00
00
10
11
00
10
10
10
10
11
00
00
11
01
10
00
00
10
10
00
10
10
11
00
10
11
10
00
00
10
01
10
01
10
10
10
10
10
11
10
00
10
11
00
10
00
10
01
11
10
00
01
10
10
10
00
01
11
10
10
00
11
00
00
11
00
01
10
00
10
10
01
11
00
00
00
00
00
00
00
10
00
00
00
10
11
10
01
11
00
00
10
10
10
00
01
10
10
00
10
00
01
10
10
01
01
11
10
01
01
10
10
01
10
01
11
01
00
01
01
11
01
11
10
00
10
10
00
10
11
00
11
10
11
11
00
01
10
01
01
01
01
10
10
10
10
00
11
00
00
11
11
11
10
00
00
10
00
10
00
01
11
11
00
01
00
00
10
00
10
10
00
00
10
11
10
11
00
01
11
10
11
11
00
01
10
00
00
10
10
10
10
01
01
00
01
00
10
00
10
00
10
10
01
00
10
11
10
11
00
10
10
00
11
10
10
00
10
01
00
10
00
10
11
00
10
00
10
00
00
10
11
11
11
10
00
10
00
10
01
10
10
00
01
00
00
00
11
11
10
10
00
00
10
10
11
10
00
01
01
00
00
01
11
10
00
01
00
11
00
10
11
10
11
11
11
11
00
10
00
11
11
00
01
11
00
10
11
00
10
00
10
10
00
00
11
11
00
10
00
00
00
00
00
10
01
01
00
11
10
00
00
00
10
11
00
10
10
00
11
00
00
10
01
10
00
01
00
10
11
00
10
00
00
10
11
00
01
00
11
10
11
00
11
10
01
00
10
01
10
00
00
10
10
11
00
10
00
01
10
10
10
00
10
00
00
11
01
00
01
11
10
00
00
11
00
10
11
00
00
10
10
10
00
00
10
01
01
01
10
10
00
10
00
01
00
11
11
10
10
00
01
01
11
10
10
01
10
10
00
01
10
10
10
10
00
11
11
01
01
10
11
10
00
10
00
00
10
11
10
00
01
10
00
10
01
00
10
00
10
00
01
10
01
11
00
01
10
01
11
11
00
00
10
11
10
00
10
11
01
10
10
00
01
10
01
00
11
00
10
10
00
11
10
00
00
10
00
00
10
00
00
10
10
11
10
10
01
00
10
11
10
11
10
00
00
00
00
00
01
10
00
11
00
10
11
01
11
11
11
01
00
00
01
11
10
11
00
01
10
11
01
10
11
00
01
11
01
00
00
00
10
11
10
00
00
00
10
10
00
00
10
00
00
10
00
10
01
00
10
01
10
00
10
11
00
11
11
01
00
01
01
10
00
01
10
10
01
11
00
11
10
01
00
10
00
00
10
00
11
10
10
00
01
00
11
10
00
01
00
11
01
11
11
10
11
01
10
11
00
00
11
01
10
11
00
00
11
00
00
11
11
11
00
01
11
11
00
00
00
10
00
00
01
10
01
10
10
00
00
10
00
00
11
00
01
10
00
01
10
00
11
00
01
00
00
11
00
10
10
00
10
01
10
00
11
00
01
10
11
10
10
00
01
00
10
10
01
10
01
01
11
11
01
00
11
01
01
00
10
10
00
00
11
10
01
11
00
00
10
00
11
01
01
10
10
00
00
11
10
00
01
01
11
10
01
00
00
11
11
00
10
10
11
10
11
10
00
00
11
00
00
10
10
00
01
10
10
10
00
00
11
00
00
00
11
10
00
00
10
00
01
10
11
10
01
10
00
00
00
11
10
00
01
11
11
01
11
11
00
10
00
00
00
10
10
01
10
10
11
11
11
00
00
01
00
10
00
10
10
10
01
00
00
10
10
10
10
10
10
10
11
10
10
00
11
10
10
00
01
10
11
11
00
11
10
10
00
10
11
10
10
00
10
10
00
00
10
01
10
11
00
01
11
10
00
10
10
00
10
00
10
01
00
10
01
10
00
01
10
11
00
11
11
11
00
00
00
10
00
10
10
11
00
00
00
00
00
00
11
10
00
10
01
00
01
10
10
10
10
00
11
10
00
10
10
01
11
11
10
00
00
10
00
00
10
00
11
01
11
00
00
11
00
00
11
10
11
00
01
10
10
00
11
10
00
10
11
10
11
00
00
01
10
00
00
10
01
10
10
00
00
01
00
01
11
10
01
00
01
00
01
10
00
11
11
10
10
01
00
01
01
10
10
01
11
01
00
11
00
10
00
00
10
11
10
00
00
10
00
11
10
01
11
11
10
00
01
11
10
00
01
11
00
10
10
01
00
00
10
10
10
00
10
11
11
10
00
00
10
10
00
01
11
00
00
01
00
11
10
00
00
10
10
10
01
00
00
00
01
00
00
00
10
10
10
00
00
10
00
00
10
00
00
11
10
11
10
11
00
10
00
00
11
10
00
00
01
11
10
10
01
01
10
00
11
10
00
10
00
00
01
01
11
01
00
01
10
10
01
10
00
00
10
10
01
00
10
10
01
11
10
01
10
11
01
00
00
10
00
00
00
11
01
10
11
11
10
00
01
10
10
00
00
11
01
10
10
00
10
11
11
00
01
00
00
11
10
10
10
10
00
11
10
00
00
00
01
10
00
00
10
10
10
00
00
00
00
10
11
10
00
00
10
10
10
11
10
11
11
11
00
11
10
00
00
10
00
00
10
11
01
00
11
00
10
00
00
00
10
01
00
00
10
10
00
01
10
11
11
10
10
00
00
00
11
11
00
01
00
10
10
00
11
10
00
01
11
11
11
10
11
10
00
11
00
11
10
01
00
00
10
11
11
00
11
00
10
00
00
00
10
01
10
01
10
11
00
01
00
11
10
00
10
00
00
01
10
00
11
11
01
00
10
10
10
10
00
00
10
10
00
10
01
11
11
01
10
10
00
00
10
00
01
11
11
00
01
10
10
10
00
10
10
01
10
00
10
10
10
00
01
00
01
01
00
10
00
00
11
11
00
10
10
00
01
10
00
10
10
00
01
00
10
01
10
10
11
10
00
01
11
11
10
11
01
01
01
01
01
10
10
10
10
01
00
10
10
11
10
10
01
10
01
00
11
10
10
01
01
01
00
10
10
00
10
00
01
10
11
10
11
10
11
10
01
00
10
11
11
11
01
10
00
11
11
00
00
10
10
10
11
00
01
00
11
00
11
10
10
00
01
01
00
11
11
10
10
10
10
11
10
10
01
10
11
00
11
00
01
00
00
10
00
01
11
00
00
00
00
10
01
01
00
10
11
10
10
01
11
11
10
00
00
00
10
11
10
10
10
01
10
11
00
10
10
00
10
10
00
01
11
00
01
10
00
10
00
00
10
00
01
10
10
00
10
10
00
01
00
10
10
00
00
00
00
10
10
00
10
11
10
11
10
00
11
00
01
10
00
00
01
01
10
10
01
11
11
00
10
01
00
10
10
00
01
10
00
10
10
01
10
10
00
10
10
10
10
01
00
10
10
10
10
11
00
01
01
01
01
00
00
11
00
00
00
01
10
01
00
01
10
11
00
00
11
10
10
00
01
10
00
00
01
00
00
11
11
11
00
00
11
10
00
00
11
11
10
01
00
10
00
00
10
10
01
00
00
11
10
00
10
00
00
11
01
00
11
00
00
11
01
01
11
01
11
10
01
10
10
00
01
10
10
11
00
01
01
10
11
11
01
00
00
10
11
10
00
00
11
10
01
10
10
01
00
11
01
11
00
10
10
00
11
10
01
00
11
10
10
00
11
01
01
10
10
00
11
01
00
10
10
00
00
00
11
00
01
10
01
01
00
10
00
00
10
00
01
11
01
10
10
10
01
10
10
00
01
10
11
01
10
01
10
10
01
00
01
10
00
10
10
01
10
00
00
11
00
00
10
00
10
10
10
10
10
01
00
01
00
11
10
00
00
10
00
00
01
10
10
10
11
10
10
10
10
10
11
11
00
01
10
11
10
11
01
00
01
10
10
00
11
10
01
11
10
10
00
01
10
10
01
10
11
00
00
01
10
00
01
10
10
10
00
01
00
10
00
10
00
10
01
01
00
11
00
10
00
10
10
10
10
00
10
01
00
00
00
10
10
11
10
01
00
01
10
00
10
00
00
10
10
00
10
10
01
00
10
10
01
10
10
10
01
10
11
00
01
10
10
10
00
00
10
00
01
10
00
10
01
00
10
00
10
11
00
00
10
00
11
00
10
00
00
01
00
11
01
01
00
10
00
00
11
11
10
10
00
10
10
11
00
01
11
10
10
10
10
01
11
01
01
01
11
01
00
00
10
10
10
00
00
10
10
11
10
00
10
11
10
11
10
00
00
00
00
10
00
00
10
10
10
00
00
00
11
10
01
00
00
11
10
10
00
10
10
10
00
01
10
10
01
00
11
00
00
11
00
00
00
00
10
10
01
11
11
01
00
11
10
00
00
00
11
10
10
11
10
00
11
00
11
00
00
00
10
10
10
10
00
11
00
01
10
10
01
00
11
01
00
10
10
10
10
10
00
00
10
11
00
00
01
10
00
01
11
10
00
01
10
10
10
00
00
10
10
00
11
10
01
10
00
10
10
00
10
01
10
10
10
10
10
00
11
10
00
10
00
00
00
10
10
10
00
10
00
11
00
11
10
11
01
00
10
10
11
01
00
11
11
11
10
01
11
00
01
10
00
10
01
00
11
00
00
10
10
10
01
00
11
10
11
01
01
11
01
10
11
01
00
10
01
00
11
10
01
10
11
10
00
00
10
10
01
00
00
10
00
00
00
00
00
10
10
01
11
11
01
01
00
01
00
00
00
01
11
10
00
00
10
10
10
01
10
10
10
11
00
01
00
11
00
00
11
00
01
10
10
10
01
00
11
11
00
01
00
11
00
10
11
00
10
00
00
10
10
01
11
10
11
11
01
10
00
01
00
00
01
10
11
10
00
10
10
01
10
10
01
01
01
10
10
01
10
00
10
00
01
11
01
10
10
00
00
01
11
10
00
10
00
01
01
00
11
00
10
10
00
01
10
00
10
10
01
10
11
00
10
10
00
10
10
01
00
00
00
01
10
01
10
10
01
11
10
01
11
10
00
01
11
11
01
00
00
10
00
00
01
10
10
01
11
00
01
10
10
01
00
00
00
10
11
00
00
11
00
00
00
00
01
00
11
10
10
01
00
00
00
01
10
10
01
01
00
00
00
01
00
01
11
10
00
10
01
00
00
10
01
00
11
10
11
00
01
10
00
01
10
10
00
11
10
10
00
00
10
01
00
01
10
11
10
11
01
01
00
00
01
10
10
11
00
00
00
10
00
10
11
11
10
00
10
11
00
00
00
11
10
00
01
00
00
11
01
10
00
00
00
00
10
10
00
00
01
01
10
11
11
11
10
10
00
10
10
00
00
10
10
00
10
00
10
11
10
01
11
00
00
10
10
00
01
11
11
00
00
01
00
00
00
10
01
10
11
00
10
10
10
11
10
00
01
01
10
00
10
10
01
10
11
00
01
00
11
11
10
11
00
10
10
11
11
00
00
10
00
01
10
10
00
11
00
10
00
10
10
00
00
11
10
01
11
00
00
00
11
10
10
10
10
10
10
10
10
01
01
01
11
10
00
00
11
10
00
00
00
10
11
11
10
00
10
11
00
10
10
10
01
01
00
00
01
10
00
11
00
01
11
10
11
01
10
11
00
01
10
00
00
11
01
00
01
10
10
10
00
10
00
00
00
00
11
11
00
11
01
11
01
00
00
00
10
00
00
10
11
00
11
01
01
00
10
00
01
10
10
10
00
00
01
01
10
01
01
10
00
01
00
10
01
00
00
10
11
01
10
11
00
00
10
00
10
01
11
10
00
10
11
11
01
00
10
00
01
10
00
00
00
00
01
10
10
10
01
10
10
00
00
00
01
00
00
11
11
01
00
01
01
01
10
10
10
00
00
11
01
00
11
01
00
10
01
00
10
00
10
00
00
11
10
01
10
11
00
10
10
01
10
10
01
01
10
10
00
00
00
00
10
11
00
11
10
00
10
11
00
00
00
00
10
00
00
11
10
10
10
11
10
01
01
00
00
11
10
10
01
00
10
10
11
00
00
00
11
10
10
10
00
00
00
10
11
10
01
01
10
10
01
10
11
11
00
10
00
00
10
10
01
00
10
00
10
10
01
10
10
00
00
11
00
01
11
00
00
11
00
01
10
00
01
00
10
10
10
01
10
11
00
01
10
10
11
00
00
10
01
00
11
10
00
00
11
00
10
10
10
10
01
00
11
10
10
00
10
10
10
01
00
00
11
00
01
10
00
10
10
00
00
00
01
11
00
01
00
10
00
10
11
10
10
01
00
11
10
10
01
00
10
11
10
10
00
01
11
10
10
00
11
11
11
00
00
00
00
10
10
00
01
00
01
00
10
10
11
10
00
01
11
10
01
01
11
00
01
10
11
10
01
10
00
00
10
11
00
00
10
10
00
00
00
11
00
10
11
11
00
10
00
00
10
00
10
00
00
01
01
10
00
10
11
00
10
10
00
00
10
10
10
00
10
00
10
01
01
10
00
10
10
01
11
10
00
00
10
10
00
01
11
11
00
10
10
11
10
00
00
11
10
01
10
01
10
11
10
10
00
01
00
10
10
00
10
10
00
00
01
01
11
10
00
11
01
01
00
00
10
10
10
11
10
10
00
01
10
10
11
00
01
10
10
00
00
00
10
01
00
10
00
10
10
00
10
10
11
10
11
11
10
00
00
11
01
00
10
00
00
10
10
10
01
01
00
00
10
00
01
10
11
00
00
01
00
10
10
11
00
00
10
11
01
10
01
01
11
00
11
11
01
01
11
01
00
01
10
10
00
00
11
10
01
00
00
10
11
00
00
11
10
11
01
00
00
10
00
10
11
00
10
00
11
11
11
00
00
11
10
01
00
10
00
00
10
10
10
10
10
01
00
00
00
10
10
00
11
10
10
00
10
10
01
10
11
10
00
00
10
10
00
11
10
00
00
00
11
10
10
11
11
01
01
01
00
10
10
00
10
10
01
00
01
00
00
10
10
00
00
10
10
11
10
11
10
01
11
00
10
00
11
10
00
10
10
00
00
00
00
10
10
00
10
00
10
10
00
11
11
11
00
10
10
01
10
11
11
00
10
10
01
01
10
10
01
00
11
00
00
10
11
10
10
00
10
01
00
00
10
01
10
10
10
00
01
00
00
00
00
00
01
01
11
00
00
00
10
11
00
11
11
00
00
01
10
00
10
11
01
10
00
01
01
00
10
11
10
10
00
10
00
00
01
00
01
00
01
11
10
10
01
11
10
10
00
01
00
01
10
00
11
00
01
10
00
00
00
00
10
10
01
10
10
00
11
11
10
01
00
11
01
00
10
10
00
10
11
01
10
00
10
00
11
01
10
10
10
01
11
10
01
11
11
01
00
10
10
00
10
10
01
00
10
10
01
01
01
00
10
10
00
00
11
00
00
11
01
00
11
10
10
10
00
11
11
00
01
10
00
00
00
00
10
10
01
00
00
10
10
00
00
01
01
10
10
10
00
01
00
10
10
01
10
00
00
00
01
01
01
10
11
00
01
10
10
10
00
01
10
10
00
10
00
00
00
01
10
00
00
11
00
11
01
00
10
00
00
10
00
01
10
11
00
10
11
10
00
00
00
10
10
01
00
11
00
01
10
10
00
00
11
11
00
11
11
00
11
01
00
11
00
00
00
10
10
01
10
11
01
10
10
10
01
10
10
00
01
01
00
11
10
11
11
00
11
01
00
00
00
10
00
10
10
00
00
11
01
10
00
10
00
01
10
10
00
00
10
10
01
11
01
01
11
00
00
10
10
01
01
00
11
11
00
11
00
10
10
01
00
00
10
10
11
01
00
10
00
01
00
11
00
01
11
01
10
10
10
00
00
00
10
10
10
11
10
00
00
01
00
10
10
00
01
00
00
10
10
10
01
10
10
00
10
10
10
00
01
01
01
10
10
11
11
00
00
10
10
01
10
01
00
10
00
10
10
10
10
00
00
00
00
00
11
00
00
00
01
00
10
10
11
11
11
11
11
10
00
01
01
00
11
11
11
10
11
10
00
00
00
00
10
10
00
10
00
00
00
00
00
00
00
11
11
10
10
11
00
00
00
10
11
00
10
11
10
00
10
11
01
00
11
01
00
10
00
10
10
10
00
01
10
01
10
00
00
11
10
10
00
00
00
00
00
00
11
10
10
10
10
00
10
00
00
00
00
00
00
00
00
01
11
01
00
10
10
10
01
10
10
01
01
00
11
01
01
10
01
01
10
10
00
10
10
11
00
10
10
10
00
00
00
00
00
11
00
01
10
00
10
00
01
10
10
10
01
00
11
00
10
11
00
01
11
11
01
10
00
01
11
10
11
01
00
01
00
11
00
10
10
00
01
11
00
00
00
00
00
00
10
10
00
00
10
00
01
00
11
00
10
10
00
10
11
10
11
11
01
00
00
00
10
00
00
10
10
10
01
00
11
11
00
11
00
10
10
11
01
11
00
10
00
10
00
00
10
10
00
01
10
11
10
00
11
01
00
10
00
00
11
01
11
01
10
01
11
00
00
01
01
11
10
10
10
10
01
01
01
10
11
01
10
10
00
00
10
11
10
10
11
00
11
10
10
01
10
10
00
10
10
10
10
00
01
00
10
01
10
10
01
10
10
10
00
00
01
00
10
11
00
10
11
00
01
00
11
10
11
00
11
01
11
11
01
01
11
11
01
00
10
00
00
10
10
11
01
00
00
11
10
10
10
00
01
00
10
00
10
00
10
01
01
10
00
10
01
10
00
00
10
10
10
10
11
00
00
11
10
01
00
10
00
00
00
10
11
01
01
00
11
00
10
00
10
00
00
10
01
00
00
00
10
10
10
00
10
00
10
10
00
01
00
01
00
10
00
00
10
10
10
00
00
10
00
00
00
00
11
10
10
10
00
00
11
00
00
11
10
00
00
10
10
10
01
11
11
00
10
00
11
10
11
00
00
10
01
00
11
11
00
00
10
01
11
00
00
11
10
10
10
11
10
10
01
01
01
10
11
01
00
10
00
10
11
10
01
10
10
11
01
00
01
11
11
01
00
11
10
11
00
11
01
00
10
10
00
10
00
01
10
10
01
00
01
10
10
01
00
10
10
10
11
00
11
11
00
11
00
10
01
00
10
11
01
10
10
10
00
11
10
00
00
10
11
10
01
10
10
00
00
01
11
11
00
00
00
11
11
10
11
01
11
11
00
11
11
10
01
00
10
10
10
01
00
10
10
11
11
10
10
00
00
00
11
10
11
01
10
00
10
10
10
10
01
00
11
10
01
11
00
01
01
00
11
10
11
00
10
10
01
00
11
11
00
11
10
00
10
10
00
01
10
01
11
10
10
01
10
11
00
00
10
10
10
01
01
10
11
00
10
10
11
11
01
01
10
00
01
00
00
10
00
01
10
10
11
01
11
10
00
00
00
11
10
11
00
00
00
00
11
00
11
11
01
10
00
00
10
10
00
10
00
00
10
11
00
01
10
10
01
11
01
10
01
10
10
01
01
10
10
10
00
00
01
00
00
11
01
11
01
10
11
10
01
10
00
00
10
11
00
01
10
11
10
10
11
10
00
01
01
10
11
10
11
00
00
11
11
00
00
11
10
00
00
11
00
11
00
10
00
00
10
01
01
11
10
00
00
01
10
10
00
11
10
01
00
11
10
01
00
10
11
01
11
11
11
01
10
10
10
00
00
11
11
11
01
10
00
00
11
11
10
00
01
01
01
00
10
00
10
10
00
00
10
00
11
10
00
00
00
10
00
01
10
00
00
01
00
00
00
10
01
00
00
10
00
00
10
10
00
10
11
00
00
00
11
00
10
10
10
00
10
00
10
10
00
10
10
01
01
00
10
10
00
00
10
00
11
10
11
11
11
00
10
01
10
00
01
00
10
11
01
01
00
10
01
00
00
10
10
10
10
10
01
11
10
00
00
10
10
01
11
11
00
11
10
10
01
00
11
01
01
10
11
01
11
10
00
10
11
00
00
10
10
00
10
00
00
10
10
00
00
10
10
01
00
11
11
01
01
10
11
10
11
00
01
11
01
10
10
00
00
00
10
00
10
10
00
00
10
00
00
01
11
11
11
01
10
00
00
10
10
10
00
01
11
11
10
00
11
10
00
11
00
00
10
10
00
10
01
00
01
10
00
01
10
00
10
11
00
00
10
00
10
11
10
00
00
01
10
00
11
11
00
01
10
00
00
01
10
00
00
10
10
01
01
00
11
10
00
10
01
00
11
10
11
00
01
10
10
10
00
01
00
00
10
00
01
00
00
11
10
00
11
01
11
00
00
10
10
00
00
11
10
00
00
10
00
01
10
00
10
00
01
11
00
10
10
10
10
10
01
10
11
10
01
10
00
00
10
10
00
00
10
11
01
00
00
00
01
10
10
11
10
00
00
00
01
10
10
11
01
00
01
01
10
10
11
00
00
00
10
11
01
00
01
10
00
00
00
01
11
10
01
11
11
01
11
01
01
10
10
00
00
00
11
10
00
10
10
10
10
00
10
00
00
10
10
11
10
10
11
10
00
00
00
00
01
10
11
10
00
11
10
11
11
10
10
01
10
10
01
10
00
00
01
00
00
10
11
00
00
11
00
01
01
10
10
10
00
00
10
11
10
00
01
01
10
10
10
00
00
00
01
10
11
00
01
10
00
10
10
00
00
10
11
10
11
10
10
00
00
01
11
10
00
00
00
00
01
00
01
10
11
00
10
00
00
00
11
11
10
00
00
10
01
11
00
10
10
11
00
00
10
01
01
00
11
10
00
10
00
00
00
01
10
11
10
00
10
00
10
10
01
00
01
00
01
10
00
10
01
10
10
00
01
00
10
00
11
11
00
10
00
10
00
01
01
00
00
10
00
11
10
11
11
00
01
01
01
01
01
11
10
10
11
01
00
10
00
01
11
01
10
11
01
01
00
10
00
00
11
10
10
00
00
10
00
10
10
11
00
00
10
01
01
11
00
11
11
11
10
00
00
11
10
01
00
10
10
10
11
00
11
10
10
00
01
00
10
10
01
10
10
01
00
10
00
00
10
10
11
00
01
11
10
11
01
11
00
10
11
00
01
11
10
00
10
11
01
00
00
00
00
00
01
10
10
10
00
01
10
10
00
10
10
01
10
01
11
01
01
00
10
10
00
10
00
00
10
01
00
00
10
00
10
00
11
10
00
11
00
00
01
00
10
11
10
00
11
00
10
10
11
01
00
10
00
01
10
00
10
10
00
11
00
00
10
00
11
10
00
10
10
10
00
10
10
00
00
10
01
01
10
00
00
01
10
01
10
00
00
00
01
10
00
01
00
10
01
01
10
10
00
10
10
10
11
11
01
10
10
00
10
00
01
10
01
00
00
01
10
10
01
00
10
10
00
10
01
11
10
00
00
00
01
11
00
00
10
00
10
00
00
10
10
00
00
01
11
11
00
11
00
10
00
10
10
10
00
01
10
01
01
11
11
10
00
01
10
10
10
01
10
11
10
11
01
00
01
10
01
00
10
11
10
01
00
10
10
11
01
00
00
10
10
00
10
10
00
10
01
00
11
10
00
00
01
11
00
11
10
10
01
01
00
10
10
01
10
10
01
10
01
10
01
00
00
10
10
00
00
11
10
11
00
01
10
00
10
10
11
00
10
00
00
01
10
10
11
11
11
10
01
01
01
10
00
01
10
11
00
10
11
00
10
10
01
01
11
01
11
10
01
11
10
00
01
10
11
11
10
01
00
10
01
11
10
00
10
11
00
11
00
10
00
00
11
01
00
11
10
01
10
11
00
11
11
00
01
01
01
10
10
00
01
10
10
10
10
00
00
10
10
00
00
10
11
10
10
10
10
00
00
11
00
00
10
00
10
10
10
01
10
10
01
00
00
01
00
10
10
11
00
00
11
10
00
00
01
10
01
01
00
00
00
01
11
01
10
11
00
11
11
01
10
10
10
00
11
00
01
10
11
00
00
11
10
00
01
10
10
11
00
10
00
01
00
10
00
00
11
00
00
11
10
11
10
11
00
10
00
11
01
00
11
10
10
11
01
00
00
10
10
00
00
10
10
10
10
00
10
10
10
01
00
01
00
00
00
00
10
10
11
01
10
11
00
11
10
10
01
01
00
00
00
10
00
00
10
10
00
11
00
00
10
10
01
10
10
01
01
10
00
10
01
00
11
00
11
10
10
00
10
11
00
00
10
11
00
01
00
10
00
11
11
00
00
10
10
10
01
11
10
01
01
11
01
00
00
00
01
11
11
00
00
00
00
10
10
01
11
10
00
01
01
01
00
10
11
10
11
11
00
00
11
11
11
10
00
00
10
01
00
00
00
00
10
11
11
01
11
10
00
01
10
10
11
10
00
00
10
10
10
00
00
00
00
01
00
01
10
10
00
00
01
10
10
00
00
11
10
10
01
00
10
00
01
01
01
10
10
00
00
01
00
11
01
11
00
11
10
11
00
00
10
00
00
00
11
11
10
10
10
11
11
10
10
00
00
01
01
00
10
10
10
00
00
00
10
11
00
00
00
01
10
00
01
10
00
10
00
01
10
00
00
10
00
10
00
10
10
00
10
00
01
00
01
01
01
10
00
00
10
00
00
10
10
11
01
11
10
00
10
10
10
11
01
01
10
00
00
10
10
10
00
00
10
00
00
00
10
00
01
01
01
00
01
00
10
10
10
11
01
10
00
10
10
10
11
11
00
00
10
01
10
10
10
01
11
11
01
10
00
01
01
01
11
10
00
10
10
11
10
00
10
10
10
00
10
10
01
10
01
00
10
01
01
10
00
00
10
01
01
10
00
00
10
10
10
00
00
10
00
01
11
11
01
11
11
00
11
10
10
00
00
01
00
11
10
00
00
10
10
00
10
11
10
01
10
00
10
11
11
00
10
10
00
01
10
10
10
00
10
00
00
00
01
10
01
01
00
00
11
10
00
01
11
01
10
11
10
00
10
11
01
01
01
10
00
00
00
10
10
00
00
11
10
10
00
10
00
01
00
00
10
00
11
00
11
00
10
11
01
00
10
01
01
01
10
10
01
01
10
10
10
00
11
10
00
00
11
11
11
10
01
01
01
10
10
10
11
10
00
00
11
00
00
00
11
10
01
10
00
01
01
10
10
10
00
00
10
00
01
10
10
00
00
00
11
10
00
00
10
01
11
00
10
10
11
00
00
10
00
10
00
01
10
00
01
10
10
01
01
10
10
00
01
00
00
00
01
10
10
11
00
00
11
10
01
10
10
10
10
10
00
11
10
00
00
11
11
01
10
10
10
00
11
11
01
10
11
00
11
11
00
01
00
01
11
10
00
10
10
10
01
01
00
10
11
00
10
00
10
01
10
10
10
10
00
01
00
11
10
10
10
10
00
00
00
10
10
00
01
01
01
11
11
00
10
11
11
10
00
00
10
11
00
00
00
10
00
11
10
01
00
10
11
11
00
00
10
11
11
00
00
11
10
01
10
00
10
10
11
01
10
00
00
10
10
00
00
10
11
01
01
10
01
10
00
00
10
00
00
11
11
10
00
10
00
10
00
01
00
11
10
00
10
00
00
10
10
00
01
11
00
00
11
10
00
00
10
10
01
01
00
00
10
01
00
00
11
11
00
10
10
00
00
01
10
00
10
00
10
00
10
01
01
11
10
10
01
00
11
10
10
10
00
01
01
01
01
01
10
10
10
11
10
01
01
10
10
01
01
11
00
01
10
11
00
01
00
10
00
01
11
10
00
00
00
00
00
10
10
11
00
11
00
00
11
10
00
00
00
10
10
00
10
10
10
10
01
01
11
10
01
00
01
11
10
00
01
10
11
00
10
10
01
11
10
10
00
10
00
01
00
01
10
10
10
10
11
11
00
00
10
01
11
00
00
00
00
11
10
10
00
00
10
00
11
10
10
11
01
11
10
10
10
10
10
01
10
10
00
01
11
10
01
01
10
10
10
11
10
01
00
01
00
10
10
10
10
10
10
00
00
11
10
00
01
10
11
11
10
10
10
10
00
00
10
01
00
11
11
10
01
10
11
00
00
10
00
10
11
00
01
00
11
00
10
00
00
10
11
11
00
01
10
00
10
10
00
00
10
10
10
11
01
01
10
01
11
01
11
00
01
10
10
10
00
00
01
10
11
11
00
10
10
00
00
11
10
01
11
11
00
01
00
01
10
10
11
01
00
01
10
11
01
10
01
00
10
10
00
01
10
00
01
10
11
00
11
10
10
10
00
11
10
00
00
01
01
10
01
11
10
00
00
00
00
01
10
10
10
00
01
10
10
10
00
00
00
10
11
00
10
10
01
01
10
11
10
00
01
11
00
01
00
10
11
10
01
00
00
00
10
00
10
10
00
11
11
00
01
01
11
10
01
10
00
10
10
10
11
10
01
01
01
01
00
00
00
00
10
00
10
10
01
01
10
11
00
00
00
00
10
10
01
00
01
10
00
10
00
11
10
01
01
10
10
10
00
00
01
10
00
01
01
00
00
10
10
11
11
01
10
11
11
11
00
00
00
11
11
00
00
10
10
01
11
00
00
01
11
10
10
10
10
10
10
01
00
11
11
10
00
10
10
00
11
10
10
11
10
00
00
00
01
00
11
10
10
10
00
00
10
00
00
01
00
01
10
01
00
11
00
10
11
00
01
10
11
01
00
00
00
00
10
10
01
01
10
00
10
00
11
10
00
11
10
00
00
01
01
00
10
11
00
10
10
00
00
01
11
10
10
10
00
11
10
10
10
11
01
01
11
01
10
00
00
11
00
00
10
11
00
01
01
11
01
00
00
10
00
00
11
00
11
10
00
00
00
10
00
10
01
00
00
00
10
10
10
00
00
10
00
00
10
00
00
10
10
01
10
10
00
10
10
10
10
01
00
00
11
01
10
10
00
10
01
01
00
10
11
01
00
10
00
00
11
00
11
00
10
00
00
10
01
00
01
11
10
11
01
10
11
01
11
01
11
11
11
11
00
00
01
01
10
10
10
00
00
00
10
11
10
00
00
01
00
11
11
10
10
10
01
00
10
11
00
11
00
00
10
01
00
10
00
01
00
11
00
10
10
10
10
10
00
00
00
10
00
01
11
01
10
11
00
01
00
11
10
01
00
10
00
00
10
10
10
01
10
10
00
00
00
00
00
10
00
11
00
10
01
10
00
00
10
00
10
00
10
01
01
10
00
10
00
10
00
11
10
00
00
00
01
00
01
11
10
00
00
00
00
11
10
00
01
01
11
01
00
01
00
10
10
00
11
10
00
01
11
10
11
10
10
01
11
10
11
11
00
01
00
01
10
10
00
00
00
10
11
01
11
10
11
10
10
10
01
01
11
10
01
10
10
11
10
01
01
10
11
10
01
00
00
10
10
10
01
00
11
01
10
00
10
10
01
10
11
00
00
10
10
11
10
10
10
11
10
01
10
00
10
00
11
10
11
10
00
01
10
00
10
10
00
00
10
10
01
00
01
11
11
00
10
01
00
10
10
10
10
11
00
00
01
00
00
11
00
11
10
00
00
00
01
00
10
00
11
01
01
10
00
10
11
01
00
10
10
00
10
01
00
10
10
10
11
10
01
11
11
01
11
01
00
11
10
10
10
00
01
11
10
00
00
10
00
11
10
00
01
10
00
11
00
01
00
00
10
10
11
10
00
00
01
00
10
00
10
10
00
11
01
10
10
00
01
00
00
11
10
00
01
00
00
11
00
00
11
00
10
00
01
11
00
01
10
00
10
00
00
00
01
10
01
10
11
10
00
10
01
11
00
00
11
11
11
10
10
00
01
10
00
00
00
10
00
10
10
10
00
01
11
00
10
11
11
10
01
00
00
10
11
11
00
00
11
01
00
01
11
11
00
00
10
10
10
00
00
11
10
00
10
11
01
10
00
00
00
00
10
00
11
10
10
10
00
00
10
10
00
11
11
00
00
10
00
00
10
01
01
00
10
11
00
00
00
00
00
11
11
10
01
10
10
00
00
00
11
00
11
00
01
00
10
10
11
00
00
00
10
10
00
10
00
11
01
01
10
10
00
10
10
01
01
10
00
00
11
00
10
10
00
00
10
10
00
10
10
00
10
10
00
00
01
10
01
10
11
01
10
01
10
10
01
10
01
10
01
00
00
01
10
10
00
10
10
10
00
11
11
01
00
00
11
11
00
10
10
00
00
01
00
00
01
10
11
01
11
10
10
11
00
00
11
10
00
00
10
00
00
00
10
10
00
00
10
10
00
10
10
10
00
00
00
00
01
10
11
00
11
11
00
00
10
10
00
10
10
10
01
01
00
11
00
01
10
10
00
00
00
01
00
11
00
00
11
00
00
11
10
00
00
00
11
10
10
01
00
10
00
00
01
10
01
11
01
11
11
01
01
00
10
10
10
01
01
11
00
10
00
10
10
01
01
10
00
10
00
00
00
00
10
11
10
11
00
00
10
11
00
00
01
11
01
01
00
10
01
10
01
11
10
00
10
00
00
01
10
00
00
11
00
10
00
00
00
00
00
00
11
00
10
10
11
00
01
00
11
10
00
00
00
10
00
01
10
01
00
01
10
01
10
01
10
10
00
01
01
10
10
00
10
11
00
01
00
01
10
10
10
10
01
10
00
00
10
10
10
11
00
10
01
10
10
01
10
10
10
11
11
00
10
10
10
00
10
00
00
10
11
00
01
11
00
00
11
10
00
00
11
10
11
10
00
00
01
00
11
11
10
10
01
01
00
00
10
10
00
00
10
11
01
11
10
00
01
00
00
11
01
01
00
00
00
10
11
10
01
01
10
10
00
00
10
11
00
01
10
10
01
00
10
10
01
11
01
00
00
10
10
00
01
10
10
00
00
10
00
11
01
11
10
01
10
11
11
10
10
11
00
00
01
00
01
11
11
00
10
11
00
00
00
10
00
10
01
10
11
00
01
00
00
00
00
11
11
00
10
00
10
00
10
11
10
10
10
10
11
11
00
10
10
00
11
00
00
10
10
00
01
00
00
10
00
11
00
00
01
10
10
00
01
00
10
10
01
11
10
00
10
10
00
10
01
00
01
10
11
10
10
00
00
10
10
00
00
01
01
11
10
01
10
11
00
00
00
11
00
00
00
10
00
00
10
01
11
11
00
10
00
10
00
10
00
01
10
11
10
11
00
11
00
01
11
11
10
01
10
10
00
01
10
10
11
10
10
00
01
00
00
00
11
10
10
11
01
00
10
01
00
11
01
01
10
11
01
11
00
00
10
10
00
01
10
01
00
00
00
10
10
01
00
10
11
10
10
00
10
10
00
00
11
10
11
01
01
01
00
10
10
10
01
00
11
10
01
11
00
01
10
00
00
00
10
10
01
01
01
11
01
10
00
00
11
10
01
01
10
01
00
10
10
00
00
10
10
10
00
00
00
00
10
10
01
10
11
10
00
10
00
00
10
11
00
01
10
00
00
00
00
01
10
10
10
00
10
00
00
00
10
11
00
00
10
00
10
11
10
10
11
00
11
01
00
01
11
00
01
00
10
00
01
00
01
11
01
01
10
10
01
10
10
00
10
11
01
01
11
00
11
11
00
00
10
00
00
00
10
11
00
00
11
01
11
00
11
10
00
01
10
10
00
00
10
01
10
01
01
10
10
11
10
01
00
00
00
10
10
01
10
10
11
10
11
01
11
00
00
10
00
01
10
10
00
10
11
01
01
10
00
10
10
00
01
00
10
10
10
01
00
10
10
01
10
00
00
00
00
01
01
10
11
01
10
10
11
10
00
00
00
11
00
01
10
10
00
01
10
01
11
11
00
10
10
01
10
10
10
00
00
00
00
10
00
01
00
11
10
11
10
11
11
00
01
11
10
00
00
10
11
01
11
01
01
10
11
00
00
10
10
00
10
00
00
01
10
10
10
00
00
11
11
01
10
11
00
00
10
10
00
00
10
10
11
00
10
10
01
01
00
11
10
10
11
01
11
10
11
01
00
10
10
11
01
00
10
01
01
11
00
10
10
01
01
11
01
01
10
10
10
10
00
01
10
00
10
00
00
10
00
01
00
11
11
11
00
00
10
11
11
01
00
00
01
00
11
10
11
00
00
00
10
10
00
10
01
00
00
00
10
00
10
10
01
00
10
11
01
10
00
10
00
11
11
10
00
00
10
00
11
10
10
00
00
00
00
01
11
00
01
01
00
11
10
10
10
00
00
10
00
00
00
10
00
01
00
10
00
10
10
11
11
01
01
10
00
10
00
00
10
10
00
00
11
10
01
10
11
00
00
11
01
00
10
01
00
10
00
00
11
10
01
11
01
10
10
01
01
01
10
10
00
11
10
00
00
11
00
11
10
00
10
01
00
00
10
10
10
00
10
01
10
00
01
01
10
11
11
10
10
01
00
10
10
00
10
11
10
00
00
01
01
11
00
10
10
00
00
10
10
00
01
10
01
01
00
00
00
01
10
00
01
11
00
10
00
00
00
10
10
10
11
00
00
11
00
00
10
00
00
00
11
10
10
00
10
00
11
10
00
10
11
10
10
10
00
00
01
11
01
11
10
10
01
10
10
00
00
10
01
01
10
11
00
10
10
01
01
10
10
00
00
00
10
10
00
01
11
00
10
11
11
10
01
10
10
11
00
10
01
10
01
00
11
01
00
01
10
00
00
11
10
10
00
11
11
01
01
10
10
11
00
00
00
01
10
10
11
00
10
10
01
10
10
01
10
00
00
00
01
01
10
10
11
01
00
00
01
11
11
00
10
10
01
00
00
01
11
10
00
10
11
10
00
11
00
00
11
00
00
00
10
11
10
10
00
01
10
10
10
01
00
10
01
00
00
10
11
00
11
10
00
10
10
00
01
11
10
11
10
00
01
11
11
10
11
01
10
10
00
00
00
00
10
10
00
10
10
01
00
00
00
10
00
11
01
00
01
00
10
10
01
11
11
10
00
00
00
11
01
11
10
00
00
00
01
01
11
10
10
01
11
11
00
10
10
00
11
01
10
11
00
11
10
11
00
00
10
01
01
10
10
00
00
00
00
10
10
00
00
11
10
10
01
11
10
10
10
00
11
10
01
11
01
00
10
00
00
10
10
11
00
00
00
10
10
01
00
01
10
10
10
11
10
00
00
10
10
00
00
10
10
01
00
00
10
00
01
10
10
00
01
00
00
00
01
00
10
00
11
10
11
00
00
00
00
00
11
10
00
01
10
11
10
00
10
10
00
01
00
11
00
11
00
00
00
10
10
10
10
00
10
11
00
10
01
00
10
10
10
00
10
01
01
00
00
10
11
00
00
10
10
10
10
10
00
10
10
10
10
00
10
10
10
10
00
10
11
00
10
10
01
00
01
10
10
10
10
01
00
01
11
10
00
10
00
00
10
10
01
00
00
00
00
01
11
00
11
00
10
00
11
10
00
10
01
11
00
10
00
00
00
00
00
11
01
10
10
01
10
10
00
10
10
00
10
00
00
11
10
10
00
00
11
01
01
10
10
00
10
11
10
10
11
00
00
01
10
11
01
00
01
00
10
10
10
00
11
11
11
00
10
00
00
10
10
10
00
10
10
01
00
01
00
00
00
10
10
00
10
11
01
00
11
00
10
01
11
10
11
10
11
10
10
11
00
00
11
00
00
10
11
11
11
11
00
10
11
00
11
10
00
00
00
01
00
10
10
10
00
00
11
10
11
10
11
10
00
11
10
11
00
00
10
00
00
00
01
10
00
00
01
11
10
00
10
10
01
10
10
00
10
01
01
10
10
10
00
10
11
11
00
11
00
10
00
01
00
10
10
01
00
01
00
11
10
10
00
01
01
11
11
00
10
10
00
00
00
10
10
00
00
11
10
00
11
01
10
00
00
10
11
00
10
01
11
10
00
11
10
00
01
01
11
10
11
10
00
00
11
10
11
10
01
00
10
10
10
10
01
11
01
10
01
11
11
00
11
01
01
01
00
10
10
11
00
10
01
00
01
11
10
10
11
11
10
10
00
01
00
10
10
11
00
11
10
00
01
00
00
00
11
10
10
11
10
10
11
00
00
10
00
00
01
11
11
00
00
10
11
00
01
10
11
00
01
10
00
10
11
10
10
00
00
10
10
10
00
00
11
00
11
01
10
00
11
10
00
00
11
10
00
11
10
10
11
10
00
10
00
01
00
10
11
00
10
10
11
00
11
01
00
10
11
00
11
10
11
01
10
00
01
01
10
10
11
10
11
10
11
00
00
10
00
00
11
10
00
00
11
01
00
11
00
00
00
01
10
00
11
10
10
11
00
00
10
10
00
11
01
00
00
00
11
11
11
11
00
00
10
10
11
00
10
10
11
01
00
11
00
00
00
01
10
00
11
10
10
10
01
11
11
10
10
11
11
01
00
00
00
00
10
10
10
00
10
10
01
11
10
11
00
00
11
10
00
10
01
10
00
10
00
11
10
00
00
00
10
00
10
11
01
11
10
00
11
11
00
01
01
11
00
00
10
01
00
11
11
00
10
00
01
11
00
00
10
10
00
10
11
01
00
00
10
10
00
11
10
00
10
00
00
00
00
10
00
00
11
11
10
00
00
11
00
10
10
01
00
10
00
10
00
00
01
10
00
10
11
00
10
00
00
11
01
01
10
11
11
11
00
01
01
11
11
00
11
10
00
00
00
00
01
10
01
10
11
10
11
00
00
11
10
00
10
10
11
00
11
10
00
10
00
00
11
11
00
01
00
10
11
00
00
00
10
10
10
10
00
10
01
00
10
11
10
01
00
00
11
00
10
01
01
01
11
11
11
00
10
01
01
10
11
10
00
10
10
11
10
10
00
01
10
01
01
00
00
10
10
01
01
10
11
11
10
01
10
01
11
01
00
01
10
10
00
00
10
10
00
11
00
01
01
11
10
11
00
00
11
11
10
00
00
10
00
11
00
00
00
11
10
10
00
00
00
11
11
10
00
00
10
11
00
11
00
01
00
10
00
10
10
00
00
10
11
00
00
01
10
11
10
10
00
10
00
00
00
10
00
10
00
00
11
00
10
00
10
10
10
01
01
10
00
00
10
00
10
11
01
01
11
00
10
00
00
10
00
01
11
00
01
00
00
00
10
01
01
00
11
10
10
10
00
00
01
10
11
10
10
01
01
00
10
00
01
00
11
11
10
00
00
01
10
10
00
00
10
01
01
10
00
00
01
11
11
00
00
11
10
11
00
00
10
00
10
11
00
00
11
10
11
00
10
10
10
00
00
00
11
10
01
10
01
10
10
00
00
10
10
00
10
10
10
01
00
00
10
10
00
10
01
10
11
01
10
10
01
01
10
00
00
01
11
01
00
10
10
00
10
10
01
00
11
10
10
10
10
10
00
00
00
10
10
11
00
10
11
10
10
10
10
00
10
00
10
10
01
00
10
00
00
00
00
01
01
00
10
10
00
00
00
10
01
11
11
00
10
01
00
10
00
01
10
11
01
01
00
10
10
11
00
10
11
00
00
11
10
00
10
01
11
00
10
11
11
10
10
00
00
10
10
10
10
00
00
00
00
00
01
00
10
01
11
00
00
01
10
01
10
10
00
10
10
01
10
10
10
11
00
01
00
00
00
00
00
10
11
10
10
11
10
10
01
01
11
00
10
11
10
10
01
00
11
11
00
00
00
10
10
10
00
00
10
10
10
00
00
10
11
11
11
01
11
10
00
00
11
11
00
00
10
11
01
01
10
00
10
11
00
11
10
00
10
10
00
10
00
00
01
11
01
10
11
00
00
10
01
01
00
10
11
00
01
11
10
11
11
00
00
11
10
00
01
10
10
00
10
10
11
00
01
00
01
00
00
01
10
10
00
00
10
01
00
00
01
10
11
01
10
10
00
01
10
00
00
10
10
00
10
01
10
00
00
10
10
01
01
00
11
11
10
00
11
10
00
00
00
01
01
00
11
10
01
00
10
10
00
00
11
00
10
10
10
00
10
00
01
10
10
01
00
01
10
11
01
11
01
10
11
10
01
01
00
01
10
11
00
00
10
01
00
10
10
00
01
00
10
10
11
00
10
00
11
01
11
00
10
00
10
00
00
00
10
01
00
00
10
11
11
10
10
00
10
10
10
01
10
00
11
00
10
11
10
00
01
00
10
10
00
01
00
01
10
11
01
11
00
11
11
00
00
01
10
00
10
11
01
01
10
00
10
00
01
10
00
01
10
10
00
10
11
00
01
00
10
01
00
10
10
11
01
00
11
01
00
10
00
00
10
11
00
01
11
10
01
10
10
10
11
01
01
01
10
10
01
10
10
10
10
00
00
11
00
10
10
00
11
10
10
10
11
00
01
11
11
11
00
11
10
01
01
00
10
00
01
10
01
00
00
11
11
10
11
10
01
00
11
10
00
10
01
00
10
11
10
01
00
01
11
00
01
10
00
01
10
01
01
10
11
00
01
00
10
10
11
10
00
10
10
00
10
01
00
10
00
00
01
10
00
00
10
01
01
00
10
01
10
01
10
11
10
10
01
01
01
00
01
11
00
10
10
11
10
10
01
00
10
00
01
00
01
10
10
10
10
00
00
01
10
10
11
01
10
00
11
10
00
00
00
00
10
01
11
10
00
00
10
00
00
10
11
01
00
11
11
00
00
01
10
11
10
10
10
10
00
01
10
00
01
01
00
10
10
00
11
00
10
10
00
10
00
11
10
00
00
00
11
11
11
10
01
00
10
10
11
00
11
11
00
10
00
11
00
00
10
11
10
00
11
00
00
10
11
00
00
01
01
00
10
10
10
10
01
10
01
11
10
01
01
00
11
11
00
10
11
01
11
11
01
10
00
01
00
11
00
01
10
00
10
10
01
01
01
10
00
10
00
10
10
00
01
01
11
10
11
00
11
00
00
00
00
00
10
10
00
11
00
00
10
01
11
10
10
01
01
01
01
10
11
00
01
01
11
10
01
01
10
11
00
01
10
00
00
01
00
11
01
00
00
00
00
10
10
00
10
00
01
11
01
10
10
00
10
10
01
11
10
00
01
10
10
11
00
00
01
10
10
00
00
00
10
11
10
11
00
11
11
00
11
10
10
00
10
00
10
01
00
10
10
00
11
00
00
01
11
10
00
11
11
10
00
00
10
10
10
10
00
00
01
10
00
00
11
00
00
00
00
01
11
10
10
10
00
00
11
10
00
01
11
10
10
01
01
01
10
11
00
00
00
00
00
10
11
11
10
00
01
00
00
11
10
01
00
00
10
00
01
11
10
00
00
01
00
10
10
11
01
10
10
00
00
10
10
00
01
01
10
10
10
00
10
00
10
00
00
10
11
10
00
10
11
10
11
00
00
00
01
10
10
00
00
00
00
11
00
00
10
11
00
01
01
10
00
11
10
11
01
00
10
10
00
00
00
00
10
00
10
00
11
11
01
11
10
01
00
11
00
10
10
01
10
10
01
00
11
10
10
00
00
11
11
00
00
11
00
10
10
00
00
11
10
10
10
10
11
00
00
10
00
00
10
01
00
11
00
00
10
10
00
00
10
10
11
00
00
00
10
10
00
00
00
11
00
10
10
11
10
01
11
00
11
10
11
00
11
11
00
10
01
10
00
00
10
00
10
11
01
00
11
00
01
10
10
10
10
10
00
11
10
00
11
00
11
01
11
00
01
10
10
10
00
10
10
10
00
00
10
10
11
10
00
10
10
10
00
01
00
10
00
01
10
10
00
10
00
00
10
00
10
00
01
00
01
01
10
00
10
10
00
11
10
00
00
10
01
11
11
11
01
00
00
10
10
01
00
11
10
00
00
00
00
10
00
01
00
00
00
10
10
00
10
10
10
00
00
11
10
00
10
01
00
10
10
00
00
01
11
10
11
00
10
10
00
00
00
01
10
01
10
01
00
01
01
01
11
10
10
01
00
01
10
11
00
10
10
01
00
11
00
10
01
00
10
00
00
11
10
10
00
01
11
10
00
00
00
11
10
10
01
00
10
11
00
10
00
11
00
11
00
11
10
10
00
00
10
00
10
10
11
10
00
10
00
00
00
00
11
10
00
11
10
01
11
01
11
10
10
10
10
01
00
11
00
11
10
01
10
01
00
10
00
01
00
10
10
00
10
10
11
10
01
00
00
00
10
10
10
00
00
00
11
00
10
10
00
10
11
00
01
00
11
00
00
01
01
00
10
00
11
10
10
11
01
10
10
00
10
01
00
10
00
10
11
01
00
11
01
11
10
10
00
10
10
00
11
10
11
11
00
11
11
01
10
00
00
00
01
11
11
00
01
11
01
10
00
10
10
00
11
00
10
10
00
10
10
00
10
01
00
00
10
10
00
01
00
10
00
01
00
11
01
00
11
00
10
10
00
10
10
01
10
00
01
11
10
01
01
00
00
10
01
00
00
11
00
00
10
11
10
11
00
10
10
10
10
00
01
11
00
11
00
10
10
10
01
10
01
01
10
10
00
10
01
10
10
00
01
01
11
11
01
00
11
10
00
11
10
10
10
11
00
00
00
00
00
10
10
11
11
00
10
11
11
10
10
00
01
10
10
01
10
01
01
11
01
11
11
00
10
11
11
01
11
10
00
01
10
00
00
10
10
00
10
10
00
11
11
10
00
10
10
11
10
10
10
01
01
00
10
01
10
10
00
10
01
00
00
10
10
10
00
01
01
00
00
10
10
00
10
10
00
10
10
00
01
10
10
01
01
00
10
10
10
11
11
01
01
10
10
10
00
00
00
10
10
10
00
01
00
10
10
11
11
11
10
01
00
11
01
10
11
00
00
00
10
10
10
10
10
00
11
10
00
10
10
11
11
10
11
00
10
10
00
01
10
10
10
00
00
01
00
01
00
10
01
11
10
01
11
00
01
10
11
00
11
00
01
11
11
10
01
11
10
01
10
10
00
11
11
01
00
00
10
10
10
10
00
10
11
10
10
01
00
10
10
10
01
00
11
10
00
10
00
10
10
00
10
11
00
00
01
01
10
10
00
00
10
00
11
10
11
00
01
00
10
11
00
10
10
10
11
10
01
00
00
00
10
10
00
00
11
00
01
00
00
10
00
00
01
11
11
10
10
00
10
00
01
10
11
00
10
00
01
00
00
10
10
10
01
11
00
10
10
00
10
00
10
10
11
00
11
00
00
11
10
01
00
00
11
00
00
10
11
00
00
10
10
11
10
10
01
00
00
00
10
10
10
11
01
10
10
11
00
10
10
00
01
10
00
00
10
00
00
01
10
11
01
01
11
00
01
11
00
11
00
00
00
10
10
01
11
10
01
01
10
00
10
11
00
01
10
01
01
10
10
11
00
01
00
11
01
10
11
01
10
00
00
10
10
10
00
01
00
01
10
10
11
00
10
01
01
11
00
00
10
00
00
11
10
00
00
10
10
01
11
10
00
10
01
10
01
00
10
11
00
10
00
01
10
10
10
00
01
10
10
10
01
10
01
10
10
10
01
00
00
10
01
00
00
10
10
10
01
01
10
10
10
00
10
11
01
10
01
10
10
01
10
10
00
10
11
00
00
10
10
00
10
00
10
10
00
01
10
10
00
11
00
00
11
01
10
10
11
01
10
10
01
00
00
10
11
01
11
00
01
00
00
10
11
10
10
10
01
01
01
01
10
10
00
11
11
01
00
10
11
00
10
11
11
00
00
00
00
01
11
10
01
00
10
00
10
11
11
01
00
10
11
10
00
10
01
00
11
10
10
00
01
01
00
11
10
11
01
11
00
00
10
10
10
10
10
01
10
00
01
00
10
11
00
01
00
01
11
00
00
00
10
10
10
01
00
01
11
00
01
01
10
10
00
01
11
01
00
01
10
01
10
10
00
10
10
11
00
01
10
00
10
11
10
10
10
00
00
10
00
10
11
00
00
10
10
11
10
10
00
10
00
00
00
00
11
01
01
01
00
01
10
11
11
00
00
11
10
01
01
00
11
00
00
10
10
00
00
00
10
11
00
00
10
00
00
00
01
11
10
10
10
10
01
00
10
10
01
00
10
01
00
00
10
10
01
11
10
00
10
11
10
11
00
00
10
10
01
00
00
10
10
01
10
01
01
10
10
10
10
10
00
00
10
00
10
10
00
10
00
00
10
01
10
11
01
11
10
00
11
01
00
10
00
01
11
00
10
10
10
00
11
00
00
11
10
11
00
01
10
00
10
10
10
00
10
11
11
01
00
11
10
01
11
00
01
10
11
00
01
10
11
10
01
10
10
10
01
00
10
00
00
01
10
10
11
00
10
10
00
00
10
10
01
00
10
10
10
10
10
00
11
10
01
10
10
10
11
00
00
01
11
00
00
10
10
10
00
00
00
10
10
00
00
00
11
00
11
01
10
10
01
10
10
01
00
11
00
00
10
10
10
10
00
00
00
11
10
10
00
00
00
10
00
10
10
10
00
00
10
01
10
01
00
01
11
00
00
10
10
01
00
11
00
00
10
00
11
10
01
00
10
00
10
01
10
10
00
01
00
00
00
10
10
10
10
10
10
00
11
11
00
00
10
10
10
00
00
10
00
00
00
00
01
10
10
10
00
10
00
00
10
00
00
01
11
01
11
11
00
01
11
10
10
00
00
01
10
10
11
10
00
00
10
10
11
00
10
10
00
00
00
01
01
01
00
11
00
01
10
01
10
10
10
01
10
11
00
00
00
10
11
00
01
00
01
01
11
10
00
10
11
01
00
10
00
00
10
00
10
10
00
01
11
10
01
10
01
10
11
00
00
10
10
01
00
00
00
10
11
00
11
11
10
00
01
11
10
11
00
00
10
00
00
00
11
10
10
10
00
00
10
10
11
10
10
01
10
00
10
00
00
10
10
11
10
01
00
00
00
00
00
11
10
01
00
10
00
11
00
01
00
10
10
00
10
10
00
10
00
00
00
00
00
10
00
00
10
10
10
01
01
01
10
01
00
00
10
00
01
10
00
00
10
10
11
10
00
10
00
00
10
11
10
01
01
11
10
11
01
11
10
00
00
10
11
10
01
00
11
10
00
10
01
10
11
01
01
01
10
10
01
00
10
00
00
10
00
11
10
11
11
00
00
10
10
00
00
11
10
10
01
11
01
00
10
01
10
01
10
10
01
00
11
10
10
01
00
10
10
00
10
00
00
10
10
10
01
10
01
10
10
00
01
00
10
00
10
10
00
10
01
01
10
11
10
11
01
10
10
00
00
10
10
10
00
00
11
00
00
11
00
00
00
10
10
01
11
10
01
00
01
00
01
11
00
01
11
00
01
10
00
10
01
00
11
00
00
11
10
11
00
00
10
10
11
00
01
10
00
00
01
01
01
11
10
00
00
00
11
00
10
10
00
10
11
10
01
00
01
00
10
11
00
00
00
11
11
00
00
11
01
00
01
10
00
00
10
00
01
10
10
11
00
01
10
10
10
11
01
01
00
10
11
10
10
00
00
10
01
01
10
00
00
10
11
10
10
10
00
01
10
00
00
00
10
01
01
00
10
00
11
00
11
11
00
11
01
10
10
10
01
00
00
11
00
00
10
10
11
00
10
11
00
00
10
11
00
00
00
10
10
01
00
10
10
11
00
10
00
00
11
11
01
10
10
00
10
10
00
10
00
01
11
10
00
10
10
00
00
01
10
10
00
10
10
01
00
10
00
10
10
00
00
10
00
00
00
00
01
10
10
00
01
00
00
00
10
00
01
00
01
10
00
00
01
11
11
01
00
10
00
01
10
00
01
10
10
10
00
10
10
10
00
00
11
11
10
11
00
10
10
10
01
01
10
10
00
00
01
11
10
11
00
10
00
00
00
01
01
10
10
10
10
00
10
00
00
01
00
01
10
00
10
10
10
01
10
11
10
01
00
10
10
00
10
01
10
10
10
01
00
10
00
11
10
11
11
10
00
11
00
00
10
10
00
00
10
00
11
10
00
00
11
00
00
11
10
11
10
11
00
11
10
00
11
00
00
10
00
00
00
11
11
01
10
00
00
10
10
11
11
00
10
11
00
10
00
10
10
10
00
00
11
10
01
10
11
10
01
01
10
00
11
10
01
11
00
10
10
11
00
00
10
10
11
00
10
00
00
00
10
10
10
10
00
00
10
01
00
10
00
10
11
00
01
10
01
10
01
10
11
10
01
00
01
01
11
00
00
00
11
11
00
10
11
10
11
00
10
01
01
10
00
00
10
00
00
00
00
00
00
10
11
11
00
10
10
11
10
10
10
00
11
10
00
01
10
10
10
10
10
00
00
10
10
00
00
00
00
10
01
01
10
00
11
00
10
00
00
11
00
11
10
10
01
11
00
00
11
11
11
11
00
01
00
00
11
10
01
01
11
10
10
11
01
10
11
00
00
00
10
00
10
10
00
00
11
10
10
10
01
00
01
10
01
11
11
01
10
10
01
10
00
11
10
00
01
00
11
11
10
10
10
01
10
10
00
01
00
11
10
00
10
10
10
01
10
10
10
00
10
00
00
10
00
10
10
10
11
11
00
10
00
00
01
10
01
00
10
10
10
00
01
11
11
10
10
00
10
01
01
11
01
00
11
01
00
01
10
00
00
10
11
01
00
10
10
11
11
10
10
00
10
01
10
10
00
01
10
11
10
00
11
00
01
11
00
00
00
10
10
00
00
00
10
10
01
01
00
00
00
01
10
00
10
10
11
10
00
11
11
11
01
00
10
01
01
11
10
01
00
10
10
11
11
00
10
00
00
00
11
11
01
10
11
10
00
01
10
00
00
01
10
01
11
11
01
01
00
00
01
11
10
00
01
10
00
00
11
10
00
00
00
01
00
00
10
00
00
10
01
00
01
10
10
11
00
00
11
00
10
00
11
11
11
11
01
00
10
00
00
01
00
10
10
01
10
10
10
01
00
11
01
11
00
00
00
11
10
00
00
10
11
11
11
10
10
00
10
10
00
01
10
10
00
00
01
01
10
10
00
01
00
00
11
10
01
00
10
00
10
01
01
00
11
11
11
10
00
10
10
00
00
00
00
01
10
10
10
00
00
10
00
00
00
10
10
10
10
10
11
10
00
01
10
10
00
00
01
00
10
11
10
10
00
10
10
10
00
10
10
00
00
10
00
00
00
10
10
00
11
01
00
01
00
10
10
11
10
10
00
00
01
00
00
00
11
10
00
01
11
00
10
00
11
11
01
10
01
10
01
00
10
10
01
11
10
00
00
00
10
10
11
11
00
00
10
11
00
01
11
10
10
11
10
10
00
00
00
00
10
00
10
10
00
10
00
11
10
00
10
00
11
00
11
10
00
01
00
10
10
10
00
00
11
00
01
00
11
10
10
00
10
10
11
10
01
00
10
00
01
01
11
10
01
00
01
10
11
10
00
00
11
10
10
00
10
00
00
10
00
01
00
00
10
00
00
10
10
10
00
00
11
10
01
00
00
00
10
10
00
11
00
00
01
11
11
10
00
00
00
01
01
11
10
10
10
10
00
11
00
00
00
10
00
01
10
00
10
10
10
11
00
01
01
11
00
00
01
10
10
00
11
10
00
00
11
01
10
10
10
10
10
10
01
00
10
01
00
11
00
10
00
10
11
00
00
11
11
00
00
10
10
00
00
10
01
10
00
10
01
11
00
00
10
11
11
10
10
11
10
00
00
00
01
01
10
10
11
10
11
10
00
01
00
11
10
00
00
00
10
11
01
00
10
11
01
10
00
00
11
10
10
00
11
10
00
11
00
10
10
11
10
01
11
00
01
10
10
00
01
10
10
00
00
00
01
00
00
00
10
10
00
00
10
01
01
01
00
10
11
10
10
00
01
10
11
10
01
10
11
00
10
10
00
00
10
11
00
00
10
10
01
11
11
00
00
10
10
10
10
10
01
10
10
00
01
10
00
00
00
00
01
00
10
10
01
00
11
00
00
01
10
11
00
10
10
10
00
11
11
00
01
01
10
10
10
10
00
00
11
10
00
10
00
00
00
00
11
10
10
11
00
01
00
00
10
11
00
00
01
00
10
00
00
00
00
10
10
01
10
11
11
00
01
00
10
11
11
01
01
10
10
00
00
10
10
01
00
01
10
11
01
10
00
00
00
10
11
00
11
00
01
11
10
10
00
00
10
01
10
11
00
01
11
01
01
00
11
10
01
10
00
00
10
10
00
01
00
11
01
10
10
10
01
01
01
10
10
00
10
00
01
10
11
00
01
10
10
11
00
00
10
10
00
10
10
00
00
10
00
00
10
00
11
10
01
10
00
00
10
10
10
01
00
10
10
01
10
01
10
00
10
01
01
10
00
01
00
10
01
10
01
10
10
00
11
11
11
11
01
11
10
10
00
10
10
01
00
00
10
00
10
10
11
01
00
10
10
01
00
10
10
10
10
00
00
00
01
10
10
00
00
00
10
10
10
00
00
01
11
10
00
00
00
00
00
10
01
10
11
11
00
10
11
11
11
01
01
00
11
10
00
00
11
10
10
10
00
01
11
00
11
00
01
11
10
01
00
10
11
00
01
10
10
00
01
01
10
10
01
10
11
00
01
10
00
00
01
01
10
00
10
01
01
10
00
01
11
00
11
00
10
10
00
10
10
00
00
00
00
10
11
11
00
01
10
01
01
00
01
11
10
00
10
11
01
00
10
11
10
00
01
10
00
00
11
10
10
01
00
00
00
10
00
11
10
10
10
01
10
10
10
01
10
00
00
11
01
01
10
11
01
11
00
00
10
01
01
11
01
01
11
10
11
10
10
00
10
10
01
00
00
11
10
00
01
10
10
10
00
10
00
00
00
00
10
10
10
11
10
11
10
10
10
11
10
01
10
10
11
00
00
11
10
00
11
00
01
01
10
10
10
00
00
10
11
10
01
10
11
10
01
00
00
10
11
00
01
01
10
10
01
00
11
10
00
00
10
10
01
00
11
10
10
10
00
11
01
00
10
10
00
00
00
10
00
10
11
11
01
00
10
00
00
01
10
10
00
01
10
00
01
10
11
01
10
10
11
00
00
11
10
00
01
00
10
10
00
10
10
00
10
10
00
01
01
00
00
00
11
10
01
10
11
00
10
10
00
00
10
10
00
00
10
10
00
00
00
11
10
11
10
10
00
00
10
01
11
11
01
00
00
11
10
10
11
00
00
00
10
10
10
10
10
00
01
00
11
00
10
10
00
10
01
11
00
01
10
00
11
10
00
10
00
01
10
10
10
00
11
10
11
10
01
01
01
11
11
10
01
00
10
00
00
11
00
01
10
00
11
01
10
00
00
10
11
11
00
00
10
10
00
00
11
11
11
11
10
10
11
01
00
11
11
01
01
00
10
00
01
11
10
00
01
10
10
11
11
10
00
10
11
10
00
10
00
01
01
10
11
11
00
10
10
00
11
00
00
00
10
10
10
00
10
01
00
10
00
10
10
10
10
00
11
00
11
11
11
11
00
11
10
00
01
10
00
00
11
11
10
00
10
00
00
00
00
10
01
10
01
00
11
11
10
00
00
10
11
10
01
01
01
10
00
00
10
01
00
10
01
01
11
00
10
10
01
00
10
10
10
10
10
10
00
10
11
00
11
00
00
10
00
00
11
11
10
00
00
10
10
11
10
10
00
10
00
01
01
00
01
11
00
00
00
00
00
00
11
11
00
10
00
00
01
01
10
00
01
10
11
00
00
10
01
10
10
00
01
10
00
01
00
11
10
10
10
10
00
00
10
11
10
01
00
11
01
01
10
00
10
10
00
00
10
10
01
00
10
00
00
00
10
00
10
11
01
10
00
00
00
00
11
00
10
00
10
01
01
10
11
10
00
00
01
00
10
10
11
10
00
11
00
11
11
10
00
00
00
00
00
00
10
01
10
10
00
01
01
11
10
00
10
10
11
11
00
01
01
10
00
00
10
11
10
11
00
10
00
11
10
10
01
00
01
10
10
00
01
11
11
01
00
00
00
10
01
00
10
10
10
00
00
00
10
11
00
01
10
00
00
00
00
10
11
00
01
10
11
10
10
10
00
01
10
11
01
01
01
01
10
10
00
01
10
10
00
00
10
00
11
10
00
01
11
10
00
00
11
00
11
10
00
01
00
10
10
10
01
00
00
11
11
11
00
00
00
10
10
11
10
00
00
00
10
11
11
00
10
10
01
00
01
10
01
10
11
01
00
00
10
00
10
01
00
10
10
00
01
00
11
10
11
01
10
11
10
00
11
10
00
10
00
00
00
10
10
01
11
10
00
11
11
11
10
10
10
10
10
01
01
11
10
01
00
00
10
10
10
00
00
11
11
01
10
10
10
10
00
10
00
01
10
01
10
11
10
01
00
01
11
10
01
10
00
00
00
11
10
10
00
00
10
11
11
11
01
00
01
01
10
11
00
00
00
11
11
10
01
00
11
10
00
10
10
01
10
10
00
01
10
01
10
00
00
01
00
11
00
01
10
10
00
10
10
00
00
11
11
01
01
10
00
10
11
11
00
00
00
11
00
01
00
10
11
00
00
00
10
10
00
00
10
00
00
00
00
11
00
11
10
00
10
10
11
10
00
00
00
11
00
01
11
11
01
00
10
10
00
01
00
11
10
00
00
10
10
00
00
11
00
10
10
00
10
11
10
10
11
01
10
10
11
00
10
00
00
00
11
10
10
10
10
11
01
00
00
01
11
00
01
00
11
10
00
11
10
01
00
00
10
10
01
01
00
01
10
00
10
10
10
00
00
10
01
11
00
00
10
10
00
11
11
00
00
10
10
00
00
01
00
00
11
11
00
11
00
00
01
10
10
10
10
10
00
00
00
00
10
11
10
10
11
00
10
00
11
00
11
11
00
01
01
00
11
11
00
10
00
00
10
10
00
10
10
10
01
01
11
00
10
10
00
10
11
11
00
10
01
11
10
10
10
00
11
00
00
10
11
01
10
10
00
11
10
01
11
11
00
10
00
11
01
00
10
01
10
10
00
01
10
11
00
10
00
00
01
10
11
00
00
10
10
00
10
00
10
01
00
01
00
01
11
11
00
01
00
10
11
01
00
10
01
00
10
11
10
00
10
00
01
10
00
11
00
00
10
10
10
00
10
10
10
10
00
10
10
11
01
00
10
00
10
11
10
00
01
10
11
00
11
00
00
01
10
11
00
10
11
00
10
10
10
00
11
10
00
00
01
00
10
11
00
10
11
00
00
00
11
10
10
10
00
01
10
10
00
00
00
10
01
00
01
11
10
00
10
10
00
11
11
10
11
00
00
11
11
00
01
00
11
10
01
01
11
00
00
00
10
00
00
00
10
10
00
00
10
10
00
10
10
00
10
00
00
11
11
00
00
01
00
11
01
10
10
10
10
01
00
00
00
10
00
01
10
10
01
00
10
01
11
10
11
01
00
00
00
11
00
00
11
10
11
11
00
11
11
11
10
01
00
01
10
01
01
10
11
01
11
10
11
00
00
00
10
00
00
10
10
00
01
11
11
00
00
00
00
00
11
11
00
10
10
00
01
01
11
10
01
10
01
10
01
10
10
00
10
10
00
00
11
11
00
00
10
00
01
00
01
10
01
10
10
10
01
11
10
11
00
10
10
11
00
01
10
00
10
10
01
10
01
01
11
01
01
10
11
01
00
11
10
10
00
00
10
01
00
11
11
00
01
01
11
10
11
01
01
11
10
10
00
01
01
00
10
10
10
10
00
01
11
10
00
00
00
01
11
11
10
01
10
10
00
01
00
11
00
10
11
00
10
00
01
11
11
01
00
00
00
10
00
11
10
00
00
10
10
00
01
01
01
11
10
00
10
10
00
00
11
11
00
11
00
00
10
01
00
10
00
10
11
00
10
10
10
00
11
10
11
00
11
00
00
11
00
11
10
11
00
10
10
10
00
00
00
11
01
10
11
01
10
00
00
00
00
11
00
01
00
11
10
10
00
01
10
11
01
10
01
00
00
00
11
10
10
00
01
00
10
10
10
00
00
00
11
01
11
00
10
00
00
10
00
00
11
10
10
00
00
01
00
01
10
00
00
11
00
10
01
00
11
01
00
10
00
00
11
01
10
10
10
00
10
10
00
00
10
11
10
01
00
10
01
00
11
10
10
01
11
10
00
00
00
00
00
10
10
11
10
11
11
01
00
10
00
01
00
11
00
11
11
10
10
00
11
11
00
11
01
10
01
00
10
00
01
10
10
01
00
11
01
01
10
10
01
10
00
00
11
00
00
01
10
00
10
00
11
11
00
10
01
00
10
00
01
11
00
11
10
00
11
00
00
10
10
00
00
10
10
10
00
00
00
10
01
10
11
01
01
10
00
00
11
01
00
11
00
00
00
10
10
11
00
00
10
10
11
01
01
10
01
01
11
11
10
01
00
01
00
10
11
00
01
00
00
10
11
00
01
11
10
11
00
11
10
10
00
11
00
00
11
10
10
01
00
10
01
00
10
00
10
01
00
10
00
10
10
10
00
00
01
10
11
11
10
00
00
10
10
01
00
11
10
00
10
10
01
11
10
00
00
01
00
10
00
00
10
10
00
10
00
10
01
00
11
01
11
00
10
10
00
01
01
11
10
01
00
10
10
00
10
10
10
10
00
10
11
00
00
01
00
10
11
00
10
00
00
01
10
00
01
10
10
10
00
00
11
10
00
10
01
01
10
01
00
11
00
00
00
10
11
11
10
01
11
01
10
11
00
11
10
01
00
01
10
10
11
10
10
00
01
10
11
10
01
11
10
00
00
00
10
11
11
01
01
00
00
00
10
01
01
10
10
11
10
00
10
11
01
10
01
10
10
00
10
01
01
10
11
00
00
00
00
10
10
10
00
00
00
10
01
00
10
00
00
01
10
00
00
10
00
10
10
10
11
10
00
10
00
01
10
11
10
10
00
10
00
00
11
10
01
10
10
10
10
00
10
10
00
11
00
00
10
10
01
00
11
11
00
10
10
10
10
10
00
10
11
00
10
10
10
00
01
00
10
00
00
00
10
01
10
00
11
10
00
01
11
01
01
11
00
10
10
11
10
00
01
01
11
00
01
10
10
00
00
00
00
11
01
10
10
10
00
01
01
10
11
10
00
10
11
01
01
00
01
11
10
00
01
10
00
00
10
10
01
00
10
10
01
00
10
01
10
10
00
11
10
10
00
00
10
10
11
10
10
00
10
11
00
10
10
00
01
00
00
00
01
00
10
10
10
11
10
01
10
11
00
10
10
00
00
10
10
01
11
10
10
10
00
00
00
00
11
11
00
01
00
10
10
10
00
10
00
00
00
00
00
11
10
00
11
00
01
00
00
10
10
01
11
10
00
00
11
11
10
10
10
10
00
00
00
00
10
11
11
10
11
00
00
01
01
01
10
10
10
00
10
00
01
10
11
00
11
10
00
10
10
00
00
00
10
00
11
00
10
10
11
01
11
11
01
11
00
00
00
11
11
01
00
10
10
01
11
01
01
01
11
11
10
10
00
10
01
11
00
10
10
00
00
11
10
01
11
10
11
10
10
10
01
11
00
11
11
00
00
01
10
10
00
00
00
01
10
10
10
00
10
11
00
00
00
10
00
11
00
00
01
10
01
11
11
10
00
01
11
00
10
01
00
11
11
00
11
01
00
11
10
01
00
11
10
10
10
00
10
10
10
11
01
00
00
10
00
11
01
01
10
10
11
01
00
01
00
10
11
10
11
00
01
01
00
11
10
01
00
00
10
00
00
10
11
01
10
10
10
10
00
10
00
00
00
00
10
10
01
01
00
11
01
00
11
10
11
01
00
10
10
11
00
10
10
10
11
11
00
01
10
10
00
01
10
11
01
00
01
10
01
10
10
00
10
00
00
10
11
10
10
00
00
10
11
10
01
00
00
11
11
00
01
10
00
10
10
00
11
00
01
11
00
10
00
10
10
11
01
11
01
01
00
00
10
11
00
01
11
01
00
10
01
00
00
10
11
01
11
00
01
11
10
01
10
10
00
00
11
00
10
10
10
01
10
00
10
00
00
10
11
00
10
00
10
10
00
10
00
01
00
10
00
00
10
11
00
11
10
00
00
00
00
00
00
10
00
10
01
01
00
00
00
11
10
10
10
00
00
11
11
10
00
01
10
10
10
00
00
01
11
10
10
01
00
01
00
10
10
11
11
00
00
11
10
00
01
10
00
10
00
10
00
01
10
00
10
00
10
01
00
10
10
01
00
01
10
11
00
00
10
00
11
10
01
10
11
00
10
00
00
00
11
01
00
11
00
11
10
10
10
00
10
10
11
00
01
00
10
10
10
01
00
10
10
10
00
00
11
00
10
01
01
10
11
00
01
00
10
01
00
11
10
00
01
01
10
10
10
10
10
10
01
00
10
11
00
10
00
00
11
01
10
10
00
10
10
10
00
10
01
01
11
10
10
10
00
11
10
00
10
10
10
10
01
00
11
00
10
01
00
01
01
10
00
10
10
01
00
00
00
10
10
00
10
10
11
01
11
00
10
10
01
11
00
00
11
10
10
00
11
00
00
10
00
10
01
10
10
10
11
10
10
00
01
10
11
10
11
00
11
10
01
10
11
00
01
00
10
11
00
11
01
00
11
10
00
00
10
11
00
10
10
10
11
00
00
01
01
10
01
10
00
11
10
10
00
10
10
00
00
10
10
10
00
11
10
10
00
11
11
01
00
11
11
11
10
11
10
00
00
10
01
01
11
10
00
01
11
10
01
10
11
11
11
00
00
10
10
00
11
11
00
00
01
10
10
00
11
01
00
10
10
10
01
00
00
01
11
10
00
01
10
10
00
00
10
10
00
10
10
11
11
10
11
00
11
10
11
10
00
00
10
01
10
10
00
00
10
01
00
00
10
10
10
00
00
11
11
00
10
11
00
00
00
00
10
10
01
00
00
01
10
00
00
10
00
10
10
00
11
10
10
10
00
10
00
10
00
01
00
00
00
10
11
10
00
01
10
00
11
00
10
10
11
11
00
01
00
00
10
11
10
10
11
00
11
01
10
01
00
00
11
01
00
11
11
11
00
10
00
01
00
00
11
10
10
00
11
10
10
11
00
01
00
01
01
10
10
10
01
00
00
10
11
11
00
00
11
10
10
00
00
10
10
01
11
01
10
10
00
10
01
00
10
10
00
10
11
10
00
10
01
01
11
00
11
10
10
00
10
11
01
01
00
11
10
01
10
00
00
10
00
00
11
11
11
00
01
01
11
11
11
10
11
00
00
10
11
01
00
01
10
10
10
00
10
00
10
10
10
11
00
01
01
00
00
10
10
00
00
10
00
10
11
00
01
00
10
10
00
01
11
11
00
11
11
11
10
11
01
01
00
11
10
01
00
10
01
00
11
11
10
10
01
00
11
10
10
00
00
10
01
11
00
10
01
00
11
10
01
10
10
11
00
00
10
00
11
00
00
00
00
00
10
10
00
01
10
10
11
01
00
00
01
00
11
10
10
10
11
01
10
11
00
10
10
11
11
00
00
10
10
00
10
00
00
11
10
10
11
10
00
00
01
10
10
00
01
11
11
00
10
00
11
01
01
00
11
10
00
10
00
00
11
10
11
10
10
01
00
10
01
01
10
11
01
11
00
00
00
01
01
00
10
10
10
01
11
10
10
00
10
00
01
01
11
10
00
01
00
01
01
10
11
10
01
00
10
11
11
10
01
00
00
10
00
11
11
01
00
00
10
10
10
00
00
11
10
00
10
01
01
10
01
10
00
00
00
00
01
01
11
11
10
11
01
10
01
10
10
01
10
01
11
11
01
10
00
10
11
00
10
00
00
01
10
11
10
00
00
00
01
10
01
10
11
00
11
11
00
10
10
01
00
11
10
00
00
00
00
10
11
10
11
01
01
00
11
11
10
10
10
10
00
01
10
10
00
00
11
11
00
00
00
10
00
01
00
10
00
00
10
10
10
10
10
00
00
10
00
01
01
10
10
00
10
10
10
00
01
11
10
10
11
01
11
00
01
11
00
00
10
01
00
00
10
01
11
10
01
01
10
11
01
00
10
11
11
10
01
00
10
00
11
10
11
00
00
01
11
11
11
10
11
00
01
10
11
01
01
10
10
00
00
01
00
00
10
01
10
10
11
11
00
10
10
00
11
10
00
11
01
01
10
01
00
10
00
00
11
00
00
10
10
11
10
10
00
00
11
10
10
11
10
01
10
11
01
00
01
11
11
00
10
10
01
11
10
01
10
10
00
00
10
10
00
00
00
00
10
00
00
10
10
10
10
00
00
01
00
11
10
10
00
11
11
10
11
00
00
10
11
00
01
00
10
01
00
10
00
01
10
11
11
10
00
00
01
10
10
00
01
10
11
00
00
01
01
10
10
00
01
01
01
10
10
10
00
11
10
10
01
01
00
10
10
01
10
00
11
10
11
10
00
10
00
00
01
00
11
00
00
00
01
10
10
01
00
00
00
10
10
10
11
00
01
10
11
10
10
11
00
01
00
00
10
11
01
00
10
10
11
10
00
00
00
10
00
10
10
10
10
11
01
11
10
10
01
00
00
10
00
01
10
01
01
11
00
10
11
11
10
01
10
00
10
01
11
00
00
10
01
10
01
00
10
00
10
10
00
10
01
00
01
10
00
00
00
10
10
10
10
01
01
00
10
10
10
10
10
00
01
11
00
01
00
01
00
10
01
00
00
11
00
00
11
11
01
10
10
00
11
01
00
10
01
00
11
01
10
10
00
01
10
10
00
01
00
01
10
11
00
11
10
01
01
00
00
00
10
10
11
10
10
10
10
11
11
11
10
10
10
00
00
00
00
10
11
10
10
10
00
00
10
10
01
00
10
00
00
00
00
10
10
00
00
01
01
01
10
01
00
00
00
01
00
11
00
10
01
00
11
00
01
11
10
00
10
00
00
00
11
10
10
00
10
10
10
11
00
00
01
00
10
01
11
00
00
11
10
01
11
10
01
10
00
01
00
00
10
10
01
00
00
01
01
11
10
10
01
00
11
10
10
00
10
10
01
01
11
00
01
00
00
00
10
11
00
10
11
00
00
01
10
00
00
11
01
01
10
00
10
11
10
00
01
10
11
11
01
00
11
10
10
00
00
10
10
10
01
00
10
01
01
00
00
00
10
00
10
10
01
10
10
00
00
00
11
00
00
01
00
11
01
11
11
10
00
11
11
10
10
00
00
00
10
00
01
00
01
11
10
11
00
00
00
10
00
10
11
00
00
00
11
00
00
00
10
11
00
10
00
00
00
10
00
01
11
01
00
01
00
11
00
01
00
10
10
10
00
00
01
11
10
00
10
10
11
00
01
10
01
10
11
00
00
00
11
10
01
01
10
00
10
10
00
10
00
11
10
00
11
10
00
00
01
10
10
11
10
01
10
01
00
10
00
00
11
11
01
11
00
10
10
11
01
00
10
01
10
11
00
10
10
00
10
00
10
00
00
10
11
01
10
10
11
00
10
00
00
10
00
00
11
00
00
10
11
10
01
00
11
00
00
00
00
10
10
11
01
00
10
10
00
11
01
01
11
01
10
00
00
10
10
10
00
01
01
11
10
00
00
10
00
00
11
10
00
10
10
00
00
01
11
00
00
00
10
01
00
11
00
01
01
00
10
11
00
00
10
10
00
00
10
10
00
00
00
00
11
00
11
10
10
10
00
10
10
11
00
10
10
00
10
00
11
00
00
00
00
10
10
00
00
00
10
00
00
10
11
10
11
00
11
01
10
10
10
01
00
10
10
00
10
01
10
10
10
10
01
11
10
00
00
10
11
00
00
00
00
00
10
10
11
00
11
10
11
01
00
01
11
01
00
10
00
00
00
11
00
10
01
01
00
10
11
01
01
10
01
11
00
01
10
10
00
11
11
01
10
10
00
01
10
01
00
10
10
00
00
00
00
11
11
10
10
00
00
10
00
01
00
10
10
10
00
01
10
10
10
01
10
01
10
00
11
10
10
11
11
10
01
01
10
11
00
00
10
11
00
00
10
00
00
00
00
10
11
01
10
00
10
10
10
11
00
00
11
10
10
01
10
11
01
10
00
10
00
10
11
00
11
10
01
00
11
10
10
01
01
11
11
10
00
10
00
00
00
11
10
11
01
00
11
11
11
00
11
11
01
00
11
11
10
11
00
00
11
01
00
10
11
00
10
11
00
01
10
00
10
11
10
00
01
10
11
10
01
00
01
10
10
11
10
11
00
11
11
11
11
10
10
00
10
00
00
10
11
10
10
11
01
11
10
11
00
10
00
00
00
00
11
10
00
10
01
11
01
00
10
10
01
11
10
00
01
10
00
00
00
11
00
01
10
10
00
10
10
00
01
11
00
01
10
10
10
10
10
10
01
01
00
00
00
01
10
10
00
00
00
10
10
00
10
10
01
00
10
10
10
01
00
00
01
10
10
10
01
11
00
10
10
00
00
10
01
00
00
11
10
01
00
00
11
01
01
11
10
01
00
00
00
00
10
10
01
01
10
00
01
10
00
10
01
01
11
00
10
00
01
10
10
10
00
10
00
10
10
10
11
10
11
10
01
00
01
11
10
10
00
10
01
01
10
10
00
01
10
10
01
11
00
10
11
11
11
10
01
01
10
10
10
00
00
10
11
10
01
11
00
00
11
10
00
01
11
00
00
10
01
10
10
00
10
11
00
00
00
11
10
00
01
10
10
00
10
00
00
10
10
11
11
00
00
11
00
10
10
00
10
00
00
10
00
01
00
10
10
01
00
00
01
10
10
00
00
01
10
11
00
00
10
10
00
11
11
00
01
00
11
10
11
10
00
10
10
11
01
00
10
00
10
10
10
00
00
11
00
00
00
01
00
11
00
10
10
00
11
00
10
01
10
10
01
00
11
00
10
10
10
00
01
00
10
00
00
10
10
10
00
10
10
10
11
10
00
10
11
00
11
00
01
00
00
10
11
00
00
00
10
10
00
10
00
01
11
10
10
10
11
11
01
01
01
10
00
01
11
10
00
00
10
00
01
10
01
10
00
00
11
00
00
00
10
10
01
10
00
00
10
11
00
00
10
00
10
11
10
11
00
00
11
00
10
10
01
00
00
11
11
10
01
10
10
10
10
00
00
10
10
00
00
01
10
01
10
00
00
11
11
01
10
10
00
01
10
01
11
00
00
00
11
10
11
00
01
00
11
00
00
10
10
01
00
00
11
01
01
00
11
11
01
10
00
00
11
00
01
00
11
10
00
00
10
11
00
00
10
10
10
10
00
10
00
00
11
10
10
00
11
11
00
11
01
00
10
10
00
00
00
11
10
00
10
01
10
00
10
00
01
10
00
00
10
01
00
01
00
00
10
11
11
10
11
00
01
11
10
01
01
10
10
10
00
01
10
11
10
11
00
11
01
11
01
01
00
11
00
01
10
10
01
11
10
00
10
10
01
00
11
01
10
10
10
01
01
10
11
10
01
11
00
00
11
00
00
10
10
10
01
11
01
10
10
10
01
00
00
10
00
00
10
00
11
00
10
00
10
00
10
00
00
01
11
11
11
11
00
00
00
10
11
01
11
11
10
00
10
00
11
10
00
00
10
11
00
10
00
01
10
10
10
10
10
10
00
10
10
11
01
11
00
10
10
01
00
01
00
01
10
11
10
00
00
00
00
10
01
11
11
10
10
00
00
00
00
11
10
00
00
10
10
10
00
11
11
10
10
00
01
00
10
10
10
10
10
00
00
10
00
10
10
00
11
00
00
10
00
11
11
10
00
01
10
10
01
01
11
10
00
00
10
11
00
10
10
10
01
00
10
00
01
10
10
11
10
10
10
00
10
10
00
01
00
10
00
00
01
01
11
11
11
10
11
11
10
00
00
10
00
00
11
01
01
11
10
11
10
00
00
10
10
00
10
00
00
11
00
11
10
00
00
00
10
10
10
01
01
10
11
00
01
10
10
00
00
10
10
00
01
00
10
00
10
11
10
10
10
11
01
00
10
11
00
01
10
00
11
00
10
10
01
01
00
01
10
00
00
00
00
01
10
11
10
01
00
11
00
10
10
00
00
10
00
01
01
10
10
10
01
00
10
10
10
00
11
11
10
00
00
10
00
01
10
10
10
00
01
01
00
10
10
01
10
10
11
10
01
10
10
01
11
11
00
00
10
00
00
00
01
00
10
11
10
00
10
00
11
10
00
01
00
11
01
11
00
01
00
10
10
10
00
00
10
00
10
00
10
10
11
10
01
00
10
00
10
00
00
01
11
10
01
00
00
00
11
10
00
01
11
11
10
01
01
00
01
01
10
11
00
01
11
10
00
01
00
10
00
01
01
00
10
01
00
11
10
01
11
11
01
00
10
00
10
11
10
10
01
01
00
01
00
11
00
10
10
00
00
11
10
01
10
10
00
10
11
00
00
10
10
00
00
10
11
00
00
11
01
10
10
00
01
10
10
11
00
10
00
11
10
00
01
10
11
01
11
10
11
11
11
11
01
00
11
00
11
11
00
00
10
10
10
00
00
00
00
11
01
10
00
00
00
11
00
00
11
11
10
10
00
00
10
11
00
10
00
10
00
10
00
01
00
10
10
11
01
10
10
00
01
10
10
00
10
01
00
10
00
01
11
00
00
10
00
00
11
00
00
10
11
10
01
00
00
10
11
00
11
10
00
11
11
00
11
10
00
00
00
10
00
00
01
00
10
01
00
00
01
00
10
00
01
11
01
11
10
10
00
00
01
11
01
10
10
00
01
00
10
10
00
11
10
10
01
01
01
11
00
00
00
10
10
01
00
10
10
10
10
11
01
00
00
11
10
11
01
00
11
10
00
01
11
11
11
10
10
01
10
00
00
11
10
10
00
00
10
10
10
00
10
10
10
00
00
01
00
10
10
00
10
10
10
01
11
10
10
10
01
01
10
00
01
00
10
01
10
00
00
11
10
10
00
10
00
00
10
00
10
11
00
00
11
00
00
00
11
10
00
00
10
10
10
01
01
01
00
11
00
10
10
10
01
00
10
10
11
11
00
00
10
11
00
01
11
01
00
11
10
01
10
11
01
00
10
11
00
00
11
10
01
01
00
10
10
01
11
10
10
00
00
10
01
10
10
00
00
00
01
00
10
00
00
10
10
10
00
00
00
11
00
11
00
01
10
01
10
10
11
00
01
10
01
01
11
11
01
10
11
00
01
11
11
01
10
10
00
00
10
11
00
00
10
10
00
10
10
00
01
11
10
10
01
11
01
11
00
00
01
11
10
00
00
11
10
01
00
10
10
00
01
10
00
00
10
01
10
00
00
01
11
10
00
00
10
00
00
00
10
10
01
11
01
00
10
11
10
11
10
00
00
01
00
10
10
00
11
10
10
00
00
10
11
01
01
00
10
10
10
00
10
01
00
01
01
11
11
10
10
00
01
00
10
11
01
11
01
10
10
00
10
10
00
00
11
00
01
11
00
10
11
10
01
00
10
10
00
00
10
00
00
01
10
00
11
10
10
10
10
10
01
10
00
00
01
11
11
00
01
00
10
10
00
00
00
00
11
00
01
00
00
11
00
10
11
10
01
10
10
00
10
00
10
10
00
00
01
10
10
11
01
00
00
11
10
11
10
10
11
01
10
01
10
10
00
01
00
10
10
00
00
01
10
10
10
11
10
01
00
00
01
11
11
01
10
10
10
10
00
01
10
01
10
01
10
11
11
00
11
10
11
01
00
11
10
10
00
01
10
01
00
00
00
10
00
00
01
10
01
01
00
01
10
00
00
00
10
10
11
00
00
01
10
00
00
00
00
10
11
10
00
00
00
00
00
10
11
00
01
11
00
01
01
10
10
10
00
11
00
01
00
10
00
01
10
00
00
10
01
10
00
00
00
10
10
01
10
00
00
10
10
00
00
10
11
00
11
10
10
10
10
01
10
00
00
00
11
00
01
10
10
10
00
00
10
11
00
00
11
00
00
00
11
01
10
10
10
00
00
10
01
00
01
00
10
11
00
01
10
00
10
11
10
00
10
11
00
11
10
00
11
01
00
00
10
00
00
00
11
10
11
10
00
00
01
11
11
00
01
01
01
10
01
10
01
00
11
01
01
11
10
10
00
00
10
01
01
11
10
00
01
00
10
00
00
10
10
11
00
00
01
00
10
11
00
00
10
00
00
00
10
10
00
10
11
01
11
00
11
10
10
00
00
00
10
00
01
00
10
10
10
10
00
10
01
11
10
01
10
00
01
00
11
10
10
00
10
01
01
00
10
00
00
10
10
11
00
01
11
00
01
01
00
10
00
10
00
01
11
10
01
01
11
01
01
01
01
10
10
11
10
00
00
00
11
11
00
00
10
00
01
01
00
10
10
00
10
10
01
10
10
01
10
10
10
10
11
01
00
11
11
00
11
11
01
01
00
11
10
10
10
11
00
01
00
11
01
10
10
11
10
00
10
11
00
00
10
10
00
10
00
11
11
00
00
11
00
00
01
00
11
00
10
10
00
00
10
10
00
11
11
01
01
10
11
00
00
00
00
10
10
00
00
11
10
11
11
00
11
00
00
11
11
01
00
00
11
10
01
10
10
00
10
10
01
10
10
00
10
00
10
00
00
11
10
10
00
00
00
10
01
00
10
01
10
10
01
10
00
00
01
10
00
01
10
10
10
00
01
00
11
10
01
10
11
10
00
01
10
10
00
00
11
11
00
01
00
10
10
10
01
00
00
00
00
10
10
10
00
00
10
00
10
01
10
01
01
11
11
00
10
11
11
00
10
10
01
00
10
01
01
10
11
00
11
00
00
00
10
10
01
00
11
10
00
00
00
00
01
10
10
10
00
11
10
00
10
10
00
11
10
01
11
00
00
00
00
00
00
11
00
11
10
10
11
10
10
10
00
01
00
11
00
10
10
00
01
00
00
10
10
00
10
10
10
00
00
00
00
00
10
11
01
11
11
10
00
00
10
01
01
10
11
11
01
10
01
01
10
01
10
10
10
00
01
11
01
01
11
00
11
10
01
11
10
00
00
00
10
10
00
00
11
00
10
01
00
00
01
10
00
00
11
11
00
00
10
01
10
00
00
10
10
10
00
01
11
10
11
11
00
10
00
10
10
01
00
10
10
00
00
11
00
01
11
11
11
11
00
01
00
10
11
10
00
00
10
10
01
00
10
01
11
00
01
00
10
10
00
10
01
00
00
01
10
11
10
01
10
11
10
11
10
00
00
10
00
01
10
10
10
00
00
10
10
00
00
00
00
00
01
00
10
10
00
01
11
10
00
10
11
11
00
00
10
01
00
11
10
01
11
10
00
10
11
00
10
10
10
00
00
11
01
10
01
00
10
11
10
01
10
10
00
00
10
10
11
00
00
10
01
10
10
00
00
10
01
11
10
10
01
00
00
01
10
00
10
10
00
11
00
00
10
00
01
10
00
00
00
11
00
10
10
00
10
11
10
01
00
10
00
11
00
00
00
10
10
00
01
10
10
10
10
01
11
10
11
00
00
00
10
10
10
00
01
10
10
00
00
10
01
10
11
00
01
00
10
00
00
01
01
10
10
00
00
00
00
10
00
00
00
01
10
00
11
01
11
10
00
00
10
10
11
11
00
10
10
10
00
01
00
00
10
00
11
10
10
10
00
01
10
00
11
10
00
10
10
00
01
00
10
01
00
10
00
00
10
11
10
01
01
10
01
11
10
11
00
00
10
01
00
10
00
00
10
11
10
11
11
00
10
10
00
01
00
10
00
00
11
00
10
00
00
10
00
11
00
00
10
10
10
11
10
01
00
11
10
00
00
10
11
10
10
00
10
10
11
10
01
10
11
01
00
00
00
10
11
01
01
11
11
01
10
10
00
10
10
01
00
11
10
11
10
11
11
10
00
00
00
10
10
00
11
10
11
10
00
10
00
01
00
10
11
01
00
11
00
00
10
00
01
11
01
01
10
11
00
01
10
00
00
01
10
11
00
10
00
00
11
10
10
10
01
00
11
10
01
01
00
11
01
00
10
10
01
01
00
10
11
10
01
10
01
10
01
00
01
01
10
10
01
10
10
10
10
10
10
00
10
00
00
11
00
00
00
11
10
01
10
10
00
00
00
11
00
00
10
01
10
00
10
10
01
10
00
10
10
00
10
10
11
10
11
00
00
00
01
00
10
10
00
00
11
10
11
10
11
11
10
01
01
01
10
10
11
10
10
00
01
11
00
01
10
00
10
10
01
00
10
10
10
11
10
11
10
10
10
00
10
10
01
10
00
10
00
00
00
10
11
00
00
00
10
10
00
11
10
11
01
01
10
10
00
11
00
01
00
10
10
10
01
00
10
10
11
10
01
00
01
11
10
10
11
11
00
00
10
01
00
11
01
10
10
00
10
00
10
11
01
01
11
11
10
10
11
01
10
00
01
10
10
00
00
11
00
11
10
00
10
10
01
00
10
10
00
10
10
00
00
01
10
11
00
00
11
01
10
00
00
11
10
11
00
11
00
10
10
01
10
10
11
01
10
00
11
10
00
10
00
11
10
00
10
10
11
11
11
10
01
00
11
10
01
00
10
10
00
10
10
10
01
10
01
00
10
00
10
10
00
00
11
01
10
10
00
10
11
10
01
01
00
11
00
00
00
00
11
10
10
01
11
01
00
10
10
10
01
00
00
10
10
00
00
11
11
00
00
00
10
00
11
11
00
00
11
10
00
11
10
00
01
00
10
10
10
00
10
10
00
00
00
11
00
00
10
11
10
00
00
00
10
01
01
10
00
00
10
01
10
10
01
10
10
10
10
10
10
11
01
00
10
00
10
00
11
11
00
00
11
00
00
00
11
10
00
10
01
01
00
00
10
11
10
00
00
11
00
01
00
10
10
10
10
00
10
00
11
00
01
11
10
00
01
00
11
10
00
01
10
10
10
00
10
01
00
10
11
10
00
10
00
01
00
11
01
00
11
01
01
01
00
11
11
01
00
10
10
00
01
01
00
11
10
00
00
10
11
00
00
11
00
11
10
00
01
00
10
00
01
10
10
00
00
11
10
00
00
00
11
00
01
10
00
00
10
01
00
00
11
10
11
01
01
00
01
10
11
10
00
10
10
00
00
11
10
00
10
01
01
00
11
10
10
01
10
11
01
10
10
00
00
01
00
00
10
01
10
11
01
10
00
10
10
00
00
10
01
00
11
00
11
11
10
10
01
11
11
11
00
11
00
01
11
01
10
10
11
00
00
10
00
00
10
00
10
00
01
01
01
10
00
10
10
10
10
11
01
10
10
00
01
01
00
00
11
00
10
10
00
00
11
01
10
00
00
00
00
00
11
10
10
11
01
00
11
00
00
00
00
10
00
00
10
10
00
00
01
11
10
00
10
00
00
10
10
01
00
10
01
00
00
01
10
10
00
00
10
00
00
00
00
11
11
00
11
00
10
00
10
10
00
11
00
10
00
10
10
10
10
00
11
00
00
00
00
00
00
10
11
10
10
00
10
00
11
10
00
00
10
11
00
00
01
10
10
00
00
10
11
01
11
10
00
00
11
01
01
10
11
01
00
11
11
00
01
11
00
10
10
00
00
11
10
00
00
01
00
00
10
00
10
00
00
10
00
10
10
01
01
01
10
01
00
00
10
00
10
10
00
00
01
10
10
10
00
00
10
10
10
00
00
00
00
00
00
00
11
01
01
01
00
11
00
00
00
00
10
10
11
10
01
00
10
00
10
11
00
00
10
11
10
01
10
10
10
00
10
01
00
11
00
11
00
10
10
10
11
01
10
11
01
00
01
10
10
00
00
10
00
11
10
00
00
10
00
10
11
01
10
00
10
01
00
11
10
11
00
01
10
10
10
00
11
11
11
01
11
00
10
00
10
10
01
10
10
11
00
10
11
11
01
10
01
00
00
10
10
10
01
01
11
10
00
00
10
00
11
01
00
11
01
00
10
10
10
00
10
10
10
11
00
10
10
00
10
10
01
10
11
00
10
01
10
01
11
00
00
00
11
10
11
00
01
11
10
00
01
01
10
11
00
10
00
01
10
11
11
01
00
10
00
01
00
10
10
00
00
01
10
10
00
00
10
00
10
00
11
00
00
10
10
00
00
01
10
00
00
01
10
01
10
00
00
10
01
00
10
10
00
10
10
11
10
00
11
01
01
10
00
10
00
00
00
00
11
11
01
00
11
10
00
10
00
10
10
01
00
00
10
10
01
11
00
00
00
01
00
11
11
01
01
00
10
11
10
10
00
10
11
10
10
00
10
01
00
11
11
00
00
10
01
00
10
10
00
10
00
00
00
01
01
11
10
01
10
11
10
00
10
01
11
11
00
00
00
11
00
11
10
01
01
10
11
10
10
10
00
00
00
01
10
11
10
11
10
00
10
10
10
01
00
00
10
11
11
00
10
00
00
11
00
11
00
10
10
11
00
01
10
10
00
01
00
10
01
00
00
00
00
10
11
00
00
00
00
00
10
10
10
01
00
11
10
00
01
10
10
10
10
00
10
10
11
01
00
00
01
11
10
00
10
11
00
11
00
00
11
10
01
11
00
00
00
01
10
11
11
00
10
00
00
00
11
10
00
00
10
00
10
01
11
10
00
10
00
00
00
10
01
10
00
00
10
00
10
01
10
11
11
11
00
00
10
00
01
10
10
00
00
10
00
11
01
00
11
10
11
10
01
00
10
10
00
01
10
01
00
10
01
00
01
00
00
10
10
10
11
10
01
10
11
10
10
10
00
00
00
00
11
01
00
11
10
00
00
01
10
10
10
00
10
10
10
10
10
11
10
01
00
00
00
00
00
11
10
01
10
00
00
01
01
00
10
11
00
10
10
00
10
00
00
00
01
01
01
11
00
11
00
00
00
11
11
00
01
01
10
00
01
10
10
00
00
11
01
00
01
10
00
00
00
00
11
10
01
10
10
00
10
10
00
01
11
10
11
10
01
01
01
10
00
10
10
10
00
01
10
10
10
01
00
11
10
10
10
10
00
01
11
10
10
00
10
10
00
00
00
00
01
01
00
01
10
11
10
00
01
10
10
00
00
11
10
11
01
10
10
10
01
11
01
00
00
01
10
10
10
11
10
01
00
11
10
00
00
01
10
00
11
00
00
11
10
10
00
01
10
10
10
10
00
11
10
00
00
11
10
11
10
00
10
10
01
01
10
10
11
11
10
00
00
10
10
01
01
11
00
10
11
00
01
10
00
10
01
01
00
00
11
00
00
11
01
10
10
10
10
00
01
10
10
00
00
00
11
10
10
00
00
01
11
11
00
10
11
11
11
10
11
00
01
01
10
10
01
11
11
10
00
01
00
10
10
01
00
01
11
01
00
10
01
00
00
10
11
00
01
01
00
00
00
00
10
00
01
10
10
11
01
10
10
00
01
10
11
00
11
00
00
10
10
10
01
00
10
00
00
10
10
10
10
00
10
00
01
01
00
01
10
00
10
10
01
00
10
11
10
00
10
10
00
10
00
00
01
01
00
00
10
10
10
00
00
11
00
00
00
11
00
00
10
10
11
11
10
00
11
10
10
00
00
10
10
00
00
10
11
00
11
11
10
01
10
00
00
01
00
11
00
00
10
11
10
00
01
11
10
10
00
00
00
00
00
00
10
10
00
01
01
11
10
01
11
10
10
00
01
10
01
00
10
00
00
10
10
00
00
10
10
00
00
10
01
10
10
01
10
10
00
10
01
01
11
01
00
00
11
01
00
11
01
01
00
00
10
10
11
01
01
11
10
01
11
01
00
01
10
10
00
00
00
10
00
11
11
10
10
00
11
01
01
10
00
11
10
10
00
01
00
11
11
10
01
10
00
01
10
00
01
10
00
01
00
11
10
01
11
01
10
10
00
11
01
01
10
10
00
00
01
01
00
10
10
10
10
11
01
10
10
00
00
00
10
00
11
11
01
11
10
00
11
10
00
10
00
11
00
00
10
01
01
11
10
00
10
11
01
00
00
10
10
10
10
01
11
01
00
11
00
11
00
01
01
01
10
11
00
00
00
11
10
01
00
10
11
00
10
00
00
10
00
01
00
11
10
10
10
00
10
01
10
10
11
00
10
11
00
01
10
01
00
10
01
01
11
11
11
01
10
00
00
10
00
00
10
10
10
00
00
10
00
10
10
01
00
00
11
00
11
10
10
00
00
11
10
00
00
00
11
10
01
00
11
00
10
11
10
10
00
00
01
01
10
11
00
10
00
10
10
01
01
00
00
00
00
10
01
11
10
01
01
00
11
11
00
10
11
00
11
10
01
10
00
00
00
00
10
11
01
10
11
10
00
00
11
10
10
10
11
11
10
00
00
11
00
00
01
10
01
01
11
11
10
01
10
00
00
10
10
10
11
00
11
00
10
10
10
00
01
11
11
01
10
10
10
10
11
00
01
10
10
10
01
11
00
00
10
10
10
10
10
00
00
00
11
10
10
01
11
01
00
10
00
10
00
00
10
10
00
00
10
01
01
00
10
00
01
10
11
00
01
00
01
10
11
10
00
01
10
00
00
10
11
10
10
10
00
00
00
00
10
00
01
01
10
10
10
00
10
00
01
10
11
00
11
10
10
10
10
01
01
00
10
11
01
01
10
11
00
01
11
00
00
11
00
10
00
10
10
10
00
01
11
00
10
10
01
11
00
00
10
01
00
10
01
10
11
00
00
01
11
00
10
00
00
01
10
10
01
10
00
10
11
00
00
10
00
00
11
00
10
00
00
00
00
00
10
10
10
10
01
10
01
10
00
00
01
10
10
10
00
10
11
10
00
01
01
10
10
01
00
11
10
10
10
01
10
10
00
00
00
10
00
10
10
00
00
01
00
10
10
11
00
10
00
10
10
00
10
01
00
10
01
10
00
10
01
00
01
00
10
11
10
01
00
10
10
10
11
10
10
01
00
11
00
01
10
00
01
10
10
01
10
11
10
01
00
01
00
00
00
10
10
01
00
01
10
10
01
11
10
01
01
10
00
10
00
01
10
10
00
01
10
01
10
11
10
01
11
00
01
10
00
11
10
10
10
00
10
00
01
00
10
10
01
00
10
00
00
00
10
00
10
00
10
00
10
01
10
10
10
11
00
10
11
01
01
11
10
00
00
10
10
01
00
10
10
01
00
11
01
10
10
11
10
00
11
11
00
01
10
10
10
01
01
10
11
01
10
10
10
00
01
11
11
10
10
10
10
11
10
00
11
01
10
11
00
00
10
00
00
00
00
10
11
01
01
10
10
00
01
00
10
01
01
10
10
10
10
10
00
00
10
10
00
10
10
01
10
01
11
00
11
01
01
10
00
01
01
11
11
00
00
10
00
00
11
11
01
01
10
10
10
01
10
00
00
11
00
00
10
00
00
10
10
01
01
00
11
10
11
10
00
00
10
11
01
10
11
00
11
00
10
00
01
00
10
10
11
01
00
00
00
00
11
10
10
00
01
00
01
01
11
00
10
00
11
10
10
11
01
00
00
00
10
01
00
11
10
01
01
01
00
01
01
10
01
00
10
10
10
11
00
10
10
10
00
00
00
01
10
00
00
10
10
10
10
01
01
00
10
11
10
11
11
10
11
00
01
01
01
11
10
11
10
01
00
11
10
00
00
10
10
01
01
10
10
00
01
00
11
00
00
10
10
10
11
01
00
00
10
10
11
00
10
10
10
01
10
00
01
00
10
00
01
10
11
00
10
10
00
10
00
01
11
11
00
00
00
10
00
11
00
00
10
01
11
01
11
11
10
11
10
01
10
11
00
00
10
11
00
01
00
10
10
10
00
00
11
10
10
10
10
00
10
00
01
10
00
10
11
10
10
00
10
01
00
11
10
10
00
00
10
11
11
00
10
01
11
01
01
10
10
00
00
11
00
00
10
10
10
01
00
00
01
10
11
01
10
10
11
11
10
11
00
01
00
01
11
00
10
11
10
00
00
00
10
00
01
10
11
00
10
11
00
10
11
10
01
11
01
00
10
00
10
00
10
11
01
00
11
10
01
00
10
00
10
00
10
10
00
00
01
10
10
00
11
10
00
00
10
01
00
11
01
00
10
00
01
00
11
11
00
11
00
11
10
00
00
00
00
11
10
00
00
00
10
00
10
11
10
10
00
00
00
10
00
10
10
00
00
00
00
01
00
01
00
00
10
10
01
01
00
10
00
10
01
00
00
01
10
10
00
10
11
00
00
10
10
11
00
11
01
00
00
11
00
01
11
00
10
00
00
10
10
00
11
10
11
10
01
01
00
10
00
11
10
00
00
00
01
10
11
10
11
10
10
00
00
01
10
00
00
10
01
10
01
00
11
11
00
01
10
00
01
10
00
00
11
11
01
10
10
01
01
01
10
10
01
00
00
00
11
10
11
00
00
01
11
00
10
10
00
00
01
10
11
00
00
01
00
00
11
11
01
10
00
00
00
11
01
01
10
10
10
00
10
00
00
11
11
10
10
10
00
01
01
00
11
11
10
10
00
00
00
00
11
10
10
01
00
00
10
00
01
11
01
10
10
00
10
00
10
00
10
00
10
10
00
01
01
10
01
00
10
00
00
11
01
10
11
01
00
10
01
01
10
10
00
10
10
10
01
11
10
11
10
00
10
11
01
11
10
10
01
10
00
00
00
10
00
01
11
01
01
10
00
11
10
00
01
10
10
01
00
00
10
01
00
00
01
10
01
00
01
11
01
10
00
10
11
00
01
11
11
10
00
10
01
01
00
10
10
00
10
00
11
01
00
11
00
00
00
10
11
10
00
00
00
00
00
10
00
10
11
00
01
00
01
00
00
01
11
11
00
01
11
10
11
01
10
10
00
11
01
10
00
10
10
01
00
01
10
10
11
00
11
10
10
00
10
10
01
01
01
00
10
10
00
00
11
10
01
10
00
00
01
11
11
10
00
10
10
00
00
10
10
10
11
00
11
00
11
00
10
10
10
10
01
00
10
10
01
11
11
00
11
11
00
00
10
10
10
00
00
11
10
10
00
10
11
11
10
00
00
11
10
00
00
11
11
01
11
01
01
10
11
10
00
01
11
10
11
10
10
11
00
01
01
00
01
00
10
11
11
00
10
11
00
10
10
01
10
00
10
11
01
11
11
01
00
01
10
10
00
00
10
11
10
00
00
01
11
10
01
01
10
11
10
00
00
10
10
10
01
00
00
01
10
10
11
00
00
00
11
10
10
10
01
01
10
10
00
00
00
00
10
01
10
10
00
10
01
10
00
00
00
01
10
00
10
01
00
01
10
01
10
10
11
10
01
10
00
00
10
10
00
00
10
00
00
11
01
00
10
00
00
11
10
10
10
00
11
00
00
10
10
00
00
01
10
11
00
01
00
00
11
00
10
10
11
00
01
10
10
00
01
00
00
01
01
10
11
10
00
01
00
11
10
01
01
01
00
10
00
00
11
00
11
11
10
00
00
00
00
00
00
10
10
00
10
00
00
01
00
00
11
10
10
01
01
11
10
10
00
00
01
10
01
00
11
10
10
10
00
01
10
11
01
00
00
01
00
01
00
10
00
00
11
00
10
10
10
00
10
01
00
00
10
11
00
10
00
01
11
10
01
00
10
00
11
01
10
10
01
10
10
00
00
10
10
11
10
11
00
10
10
00
00
10
10
00
11
11
10
10
00
10
10
10
01
10
11
10
01
10
01
11
10
00
00
11
11
00
01
10
00
00
10
00
00
10
10
10
00
00
10
11
10
10
01
00
00
00
10
11
00
10
01
01
01
10
10
00
10
10
11
10
00
00
01
00
01
10
11
10
00
00
10
10
00
10
11
00
11
10
01
00
00
00
00
01
10
00
10
11
01
10
10
01
00
10
00
10
11
10
11
10
00
00
00
10
00
11
11
00
11
10
01
11
11
10
00
00
00
00
10
10
10
01
11
11
10
00
10
01
00
11
01
01
01
10
00
10
11
00
01
10
11
10
00
00
01
10
11
11
01
00
11
00
10
00
11
10
00
11
10
11
01
00
11
00
00
10
11
00
01
00
11
10
01
10
00
00
10
10
00
10
10
00
00
00
00
10
10
11
10
00
00
11
01
10
11
10
00
00
10
01
10
10
10
00
00
00
00
00
00
10
10
00
01
10
00
10
10
10
10
10
01
11
10
01
01
00
10
10
00
11
00
00
01
11
00
10
00
10
11
10
01
00
10
10
00
00
11
00
11
00
00
11
10
01
01
00
11
01
01
10
00
00
00
01
10
10
11
11
11
00
00
11
01
00
11
00
00
11
00
11
00
00
10
10
00
11
11
00
00
00
10
00
10
00
01
00
00
11
01
11
00
10
01
00
00
10
10
01
00
10
00
10
01
01
01
00
10
10
01
00
00
00
10
10
01
00
10
11
10
00
10
00
00
01
11
00
10
10
10
00
00
00
11
10
10
10
01
10
00
01
00
10
01
01
10
11
11
00
10
01
11
00
00
11
10
00
00
10
10
10
00
00
11
10
10
10
11
10
00
01
11
01
00
01
01
10
01
01
10
10
01
00
10
10
00
11
10
01
01
11
10
10
00
01
00
11
10
10
01
00
11
11
00
01
00
00
11
10
01
10
11
01
10
00
10
01
00
10
00
10
10
00
10
10
11
11
10
00
10
01
10
11
00
10
10
10
10
00
00
11
00
00
01
10
10
11
11
10
00
10
00
11
01
00
11
10
11
00
10
01
00
10
00
10
10
00
00
10
11
00
01
00
10
01
01
11
11
00
10
00
00
01
00
10
00
00
10
00
10
10
11
01
10
10
00
10
00
00
00
11
00
10
00
10
11
00
01
10
10
00
11
10
00
00
10
11
11
01
01
11
11
00
00
01
10
00
00
10
11
11
11
10
11
00
01
00
01
00
10
01
00
10
11
10
00
00
00
10
01
01
00
00
00
10
10
00
00
00
00
10
11
10
10
10
10
10
10
10
10
11
01
00
11
00
00
11
00
00
10
00
00
00
00
00
11
10
10
01
00
00
00
10
00
10
11
00
10
10
10
10
11
00
00
01
10
10
10
00
00
10
10
10
11
10
11
10
10
00
10
01
00
10
01
00
11
10
01
10
00
00
11
10
00
10
10
10
11
00
10
11
11
10
01
01
11
11
01
01
11
10
11
10
11
00
00
01
00
00
10
10
11
11
00
10
10
11
11
01
10
00
00
11
11
01
00
00
11
10
00
01
10
10
11
01
00
00
00
10
01
01
11
10
10
00
10
10
00
01
01
11
11
00
01
10
10
11
10
00
01
10
10
10
01
11
00
00
10
00
10
10
01
00
00
00
11
10
00
10
00
10
00
11
00
00
00
00
11
11
01
11
10
10
10
11
10
10
10
00
00
01
11
11
00
10
00
10
00
00
11
10
00
00
00
01
01
11
00
11
00
00
10
00
11
10
10
11
11
10
01
11
11
10
00
00
10
10
00
01
00
01
11
00
00
00
10
11
00
00
00
11
10
00
10
01
01
11
10
10
10
00
00
00
11
11
00
01
00
11
10
00
00
01
11
10
11
00
00
00
11
00
01
10
10
00
00
10
10
00
11
00
01
10
10
10
10
00
00
10
10
11
00
00
01
00
10
11
11
00
01
00
00
10
11
00
10
10
00
10
11
00
11
00
00
10
11
00
11
00
01
10
00
10
01
10
11
01
00
00
00
01
10
10
00
00
11
00
11
10
01
00
00
00
11
11
01
00
10
00
01
11
01
10
10
10
00
00
11
10
00
01
11
10
10
11
00
01
10
10
01
11
11
10
00
01
10
00
01
10
10
00
10
00
10
10
00
01
11
10
10
01
11
01
10
10
01
11
01
10
00
00
01
10
10
01
01
10
10
10
11
00
10
10
01
01
00
10
10
00
00
01
01
10
11
10
00
00
00
11
10
10
01
10
11
00
11
10
01
10
00
00
00
00
01
01
10
01
00
10
00
01
11
10
10
00
00
10
10
11
01
10
01
01
10
10
00
00
10
10
11
00
00
00
01
00
01
10
10
00
00
00
10
00
00
11
10
10
01
00
10
00
01
00
00
00
10
10
00
10
10
10
01
00
01
00
01
00
10
00
01
00
10
01
10
11
10
00
01
00
11
10
00
00
00
10
00
11
10
00
10
10
00
10
01
10
11
00
00
10
00
11
11
10
00
10
00
01
11
10
10
00
10
10
11
11
00
10
10
11
10
01
00
10
10
01
11
01
01
00
10
10
11
01
01
10
00
00
01
00
00
10
10
01
10
11
01
10
00
10
01
10
10
00
11
10
01
00
10
11
00
10
10
01
00
10
10
01
00
00
11
01
11
10
00
10
00
10
10
00
00
11
10
10
10
01
00
10
10
00
00
10
00
00
11
00
00
01
01
00
01
11
11
10
00
11
00
00
11
00
10
10
00
00
11
10
00
11
10
10
10
01
00
11
10
10
00
11
00
00
10
10
00
10
10
01
11
10
10
10
11
00
11
11
00
11
00
01
01
01
00
10
10
00
11
10
11
00
11
10
00
01
00
11
11
00
00
11
01
01
10
00
11
11
10
00
01
10
01
11
00
10
10
01
10
00
01
10
01
00
10
01
00
10
00
01
11
00
01
00
10
10
00
00
10
10
00
10
00
00
10
10
01
00
11
01
00
11
00
10
10
01
11
11
00
01
11
10
10
11
01
00
01
10
10
01
10
11
00
01
00
11
10
00
10
01
00
11
10
00
10
10
00
00
11
10
01
00
00
01
00
10
10
00
01
10
11
10
00
01
10
10
00
10
10
00
11
11
10
00
00
11
00
00
01
11
00
00
00
01
10
11
10
10
01
10
11
01
00
10
11
10
00
00
11
10
01
00
01
11
01
00
00
10
11
00
00
10
00
00
10
10
11
10
10
00
00
10
00
00
01
10
10
10
00
10
10
10
01
00
01
10
10
00
10
11
01
10
10
00
10
01
00
10
00
00
00
01
01
11
11
10
11
11
00
01
01
11
00
01
00
10
00
01
10
10
00
00
00
00
01
10
10
00
10
11
00
01
10
01
01
11
10
00
10
10
11
10
00
01
10
10
00
11
00
10
00
10
10
00
11
11
01
00
00
00
00
11
00
00
10
10
01
10
00
00
10
00
00
00
00
11
10
10
01
00
00
00
00
00
01
10
10
11
00
01
11
11
01
00
11
00
10
10
00
00
10
10
10
10
11
10
00
00
10
11
10
11
00
00
00
00
11
00
11
11
11
11
11
10
01
10
00
00
00
10
10
00
10
00
11
10
00
11
01
10
00
10
11
01
10
00
00
01
01
01
10
10
10
01
00
10
10
00
01
00
10
10
10
01
00
10
00
11
10
11
00
10
11
11
00
10
10
00
01
01
01
11
11
01
11
00
00
11
11
10
00
00
11
10
10
00
00
10
11
10
01
00
10
01
10
01
00
00
11
10
10
00
10
11
01
00
10
00
01
11
11
00
10
00
00
01
01
10
11
01
10
10
00
00
01
00
10
11
11
10
11
01
00
11
00
00
10
10
01
00
10
11
00
10
10
01
11
10
00
01
01
10
00
01
01
01
01
11
11
10
00
11
00
00
00
10
10
10
10
01
00
11
00
01
00
01
01
00
00
10
10
10
10
00
10
00
11
10
11
11
01
10
00
11
01
10
11
01
00
10
10
00
00
10
11
00
10
01
00
11
11
11
00
00
00
00
01
11
11
01
11
11
11
10
10
00
01
11
10
00
11
11
11
10
00
00
11
01
00
10
10
00
00
10
11
00
00
10
01
01
10
00
00
10
00
00
11
11
01
10
00
11
10
10
00
01
10
10
00
01
00
01
10
00
11
11
10
01
01
11
00
10
10
10
01
10
00
00
00
10
10
10
10
00
11
00
01
00
00
00
10
10
00
00
11
10
01
01
00
00
00
01
10
00
00
10
00
00
00
11
10
00
01
10
00
10
10
00
10
01
10
10
01
00
10
11
11
00
11
11
00
11
00
10
11
00
01
00
11
00
11
00
00
10
11
11
10
00
00
10
10
10
00
00
11
10
00
10
11
00
10
00
10
11
01
10
01
10
10
00
00
00
01
10
10
10
00
00
11
11
00
10
00
00
10
10
10
00
11
00
01
11
10
00
01
10
01
11
11
10
00
00
10
10
00
01
01
10
10
00
10
00
01
10
10
00
00
00
00
10
00
00
00
11
00
00
10
01
11
00
10
11
01
10
00
10
01
00
00
00
10
01
00
01
10
10
01
10
11
10
00
10
10
11
00
11
11
10
00
00
01
00
10
01
00
00
00
00
10
00
01
10
00
01
01
10
01
10
10
01
10
10
10
00
01
11
10
11
00
11
11
01
11
10
10
00
00
10
00
00
10
10
11
10
01
10
11
00
10
00
01
10
10
01
00
10
01
00
10
00
01
10
11
00
00
10
00
10
01
10
10
00
00
10
10
00
00
10
11
10
11
00
01
10
01
00
01
10
01
11
11
01
10
11
10
10
10
01
00
11
10
11
10
10
01
01
00
10
10
01
10
10
01
00
00
00
00
10
11
00
10
10
00
00
00
01
00
00
10
00
11
01
10
10
00
01
11
10
01
00
10
00
00
11
11
00
11
00
00
01
01
11
00
10
11
00
10
00
00
10
10
01
00
00
10
00
00
01
10
11
00
01
11
10
11
00
01
10
00
00
10
00
10
10
01
01
11
11
00
00
11
01
10
11
00
01
01
10
10
10
10
00
10
00
11
10
10
10
00
11
00
00
10
00
00
00
11
10
11
00
10
00
10
10
00
01
00
11
00
00
10
10
10
10
10
01
10
10
00
00
11
00
11
00
00
10
11
10
10
10
01
11
00
01
11
00
01
10
10
10
00
00
00
10
10
01
01
00
10
00
00
00
10
10
11
00
01
10
11
00
01
11
10
00
01
00
10
01
00
11
10
11
00
10
10
01
10
10
11
11
00
00
00
10
11
01
11
00
01
00
00
00
10
11
10
00
00
01
01
01
00
10
00
00
11
01
00
00
10
10
11
00
10
00
01
10
10
10
01
00
10
01
10
00
10
00
00
00
01
10
00
00
11
10
10
10
00
01
01
10
10
10
00
01
10
10
10
00
10
10
00
10
10
00
01
00
00
01
01
11
11
11
11
00
00
00
01
10
11
10
10
11
11
00
10
10
01
10
00
00
00
10
10
00
00
00
11
10
00
01
10
10
00
00
10
00
00
10
01
00
10
00
00
11
00
10
01
01
10
00
00
00
00
01
10
10
01
10
01
00
10
10
11
10
10
11
00
00
00
00
10
00
10
10
10
10
00
00
01
01
01
11
00
01
00
00
00
10
10
00
10
10
01
01
10
01
10
00
10
10
00
11
00
00
11
10
00
11
10
01
00
10
00
11
01
10
10
10
10
11
01
01
10
10
10
00
00
00
10
11
01
10
11
10
01
11
00
00
11
10
00
00
10
10
11
10
01
00
10
00
11
01
11
00
10
01
01
01
01
11
10
01
01
01
10
10
01
01
00
11
10
10
01
01
01
00
10
10
10
10
00
00
10
00
00
01
01
11
10
00
01
10
11
00
10
10
00
01
10
10
00
00
01
10
11
00
00
10
10
10
00
10
10
10
00
11
00
00
11
10
01
00
10
00
00
10
10
00
01
10
01
10
10
00
01
11
11
00
11
10
11
11
01
10
11
10
01
00
10
00
00
10
10
00
00
01
10
10
10
10
10
10
11
10
11
00
00
11
11
10
01
00
10
00
00
01
10
11
00
01
00
00
11
10
11
01
10
00
01
00
10
10
00
00
01
00
10
11
00
01
01
01
00
00
01
00
00
11
10
11
10
01
00
00
11
00
10
10
01
01
10
10
01
10
10
00
00
00
00
00
10
00
10
00
00
01
00
11
00
00
10
00
01
00
10
11
00
10
11
11
00
10
00
00
10
10
00
01
00
10
11
11
10
11
01
00
10
00
10
00
00
10
10
00
10
01
11
10
00
00
10
00
00
00
00
10
10
10
10
10
11
10
01
00
10
11
00
00
11
00
10
00
10
10
01
01
00
00
01
00
10
10
00
00
10
00
11
10
00
00
01
01
10
11
10
00
00
10
00
10
00
01
00
10
01
10
11
11
00
00
00
10
11
01
10
10
01
00
01
01
00
11
11
00
10
00
00
01
00
11
10
00
00
10
10
10
11
00
01
00
10
10
00
10
11
10
01
00
10
11
01
10
01
01
11
00
01
00
11
00
10
00
00
10
10
11
00
11
11
00
10
00
00
00
00
10
00
01
10
10
01
00
10
10
00
11
10
10
01
00
10
00
11
01
00
10
10
00
00
00
10
00
10
01
01
00
00
01
00
00
01
10
11
00
00
00
10
10
00
01
10
10
00
01
01
10
00
00
10
10
10
10
00
10
10
01
00
01
00
10
01
01
01
10
01
10
00
01
01
01
11
10
10
00
00
11
00
10
01
10
10
11
00
00
11
01
10
10
01
00
01
00
10
11
00
00
00
11
10
00
10
00
00
01
11
00
00
10
10
10
11
00
11
10
00
11
00
00
11
10
01
11
01
00
10
11
10
10
00
11
10
01
00
11
00
01
11
11
10
01
00
00
11
11
01
00
01
10
10
00
11
00
10
00
00
11
00
10
10
00
10
00
01
11
10
10
10
10
11
01
00
11
00
00
00
01
10
10
10
11
10
10
01
00
10
11
00
01
01
10
11
10
10
10
11
00
00
10
10
00
00
00
00
10
10
10
00
01
10
10
01
00
01
11
00
01
01
00
11
11
00
10
10
00
01
11
11
10
10
10
00
01
00
00
10
00
01
01
01
10
00
10
00
00
00
10
10
00
00
11
10
10
00
10
10
11
01
11
10
00
01
01
10
10
01
10
10
10
10
00
01
10
10
11
01
00
10
00
00
11
00
11
10
10
00
10
10
10
00
00
10
01
00
00
11
11
01
10
11
00
00
10
10
01
11
10
00
00
00
10
01
01
10
10
11
00
10
10
00
01
11
01
11
00
10
11
01
11
00
01
10
10
11
00
10
10
10
00
00
10
00
11
00
00
01
10
10
10
11
10
11
10
10
10
10
10
10
00
00
00
10
01
10
10
10
00
00
10
00
10
10
01
10
01
11
00
01
10
00
10
11
00
01
10
11
00
11
10
00
10
00
11
01
00
11
10
11
10
01
01
11
10
00
01
10
10
00
11
11
01
11
01
10
10
01
00
11
11
10
10
01
00
00
10
11
00
11
01
01
00
00
00
11
01
11
01
11
00
00
10
10
00
01
10
00
10
10
01
00
01
10
11
00
10
10
00
01
10
10
00
10
10
00
10
00
11
01
01
11
00
11
00
10
00
00
00
10
10
00
00
11
00
10
10
10
01
00
10
10
00
01
00
10
10
10
00
01
00
01
10
00
10
00
10
10
01
00
11
00
00
11
10
01
00
10
10
10
00
00
00
10
00
01
10
10
00
00
11
10
10
00
00
10
01
01
10
10
10
10
11
11
10
00
01
10
00
00
10
00
00
00
10
10
00
10
01
10
10
10
00
11
11
10
00
00
00
00
01
00
10
10
00
01
01
11
10
10
00
11
11
00
10
10
10
11
01
10
01
01
01
00
00
11
00
11
11
00
00
01
10
10
11
01
00
10
00
10
00
01
11
01
00
10
11
00
00
11
10
00
10
10
10
00
00
11
10
11
10
01
00
00
01
10
01
10
00
00
00
00
10
01
10
11
00
10
00
10
10
00
10
10
00
01
00
11
01
00
01
10
10
10
10
10
01
00
11
10
00
00
11
11
01
10
10
10
10
10
00
00
01
11
10
00
00
00
10
10
11
00
01
00
10
00
11
00
11
10
00
10
01
01
10
10
01
10
11
10
00
00
11
01
00
10
10
10
10
00
00
10
01
00
00
11
10
11
00
11
10
00
00
10
00
00
10
11
01
00
00
11
11
00
10
00
00
10
11
01
10
01
10
01
10
01
00
10
00
10
10
00
10
10
00
00
00
10
10
11
00
10
10
01
01
11
11
10
11
11
01
01
10
10
00
11
11
00
00
10
10
00
11
00
01
10
01
00
00
11
11
10
00
00
10
00
10
00
01
10
11
11
10
00
00
10
01
00
10
00
00
11
10
00
00
10
10
01
00
11
10
00
10
10
10
00
01
10
01
00
01
10
10
11
10
10
00
00
10
10
01
00
01
00
10
10
10
10
11
11
00
11
10
10
10
10
00
01
10
11
10
01
00
00
01
01
11
10
00
11
00
00
00
10
11
10
00
01
01
11
10
11
00
11
00
01
11
11
01
00
10
10
00
00
11
00
11
10
10
00
00
11
00
11
10
00
00
10
01
10
10
00
01
10
00
11
00
11
10
10
10
11
00
00
10
11
10
10
00
10
11
01
10
00
00
00
01
00
10
10
10
10
00
00
10
00
00
10
11
00
11
10
11
10
10
10
00
10
10
01
00
00
10
01
00
11
10
11
00
00
01
00
11
11
01
00
01
01
11
00
01
10
11
00
01
00
01
01
10
01
10
00
00
00
11
01
10
10
11
10
00
00
00
11
00
01
11
00
00
00
00
00
10
11
01
10
00
11
00
10
11
00
10
00
00
10
00
10
10
01
01
00
01
00
11
00
00
11
10
11
01
00
11
11
00
00
01
01
10
00
01
10
10
00
00
10
10
01
00
10
10
10
10
00
00
00
10
00
10
10
00
10
00
00
00
10
00
00
00
01
11
00
10
11
11
10
10
11
00
11
00
00
10
10
00
10
00
00
00
11
10
01
00
10
00
10
00
10
11
11
10
00
10
00
01
10
10
00
00
10
10
01
00
10
01
10
00
10
00
00
11
00
10
11
00
00
10
11
00
00
00
11
10
01
00
10
10
11
11
00
10
10
00
01
10
01
01
10
10
11
01
10
10
11
01
11
00
00
10
00
00
10
00
00
11
11
10
00
10
01
10
10
01
00
10
10
10
10
00
10
00
10
10
10
11
11
01
11
11
10
00
10
10
00
00
11
10
01
10
00
00
11
11
00
10
10
01
10
00
10
00
10
00
01
01
11
11
10
00
10
10
10
00
00
10
11
00
11
11
00
01
10
00
00
00
10
01
01
10
10
01
01
10
00
01
00
00
00
00
00
10
10
11
00
11
00
01
10
00
00
11
10
01
00
10
00
00
00
10
00
00
01
01
01
10
00
11
01
00
10
10
00
10
11
10
10
00
01
01
00
00
00
01
10
10
10
00
00
11
10
00
01
10
10
00
11
10
11
00
10
11
00
10
00
00
11
10
11
11
00
10
10
00
00
01
10
00
10
00
11
10
01
01
11
10
00
01
10
10
00
10
11
11
00
10
10
10
00
00
01
10
10
01
11
01
01
10
10
01
01
00
00
00
11
10
01
11
00
01
00
10
10
10
00
10
10
00
10
10
10
00
01
00
01
00
10
01
00
01
11
00
00
11
01
01
00
11
10
10
01
10
11
01
00
11
11
00
00
10
10
00
00
00
01
11
10
01
01
00
10
00
10
11
00
01
01
00
11
01
00
10
00
10
10
10
01
00
11
10
01
01
11
10
10
10
00
10
10
10
11
01
01
11
01
10
01
00
00
10
10
00
00
11
10
11
01
00
11
01
00
11
00
00
10
11
00
01
00
10
10
00
10
10
10
11
10
00
01
10
01
11
10
00
01
11
10
01
00
01
11
01
00
00
10
10
10
11
00
00
10
00
11
11
10
00
00
00
11
11
01
00
11
00
00
11
10
10
10
10
01
00
00
01
10
00
11
00
00
11
00
10
11
00
00
00
10
10
01
00
01
00
11
10
00
00
00
00
11
10
10
11
10
10
10
01
00
00
10
10
00
01
00
01
10
01
00
10
00
01
10
10
00
00
00
00
10
11
01
01
10
10
00
00
10
10
10
00
00
11
00
11
10
10
11
10
00
10
00
10
11
00
10
10
00
11
00
01
10
01
00
10
10
10
11
00
00
10
10
10
00
01
10
01
11
10
00
10
00
10
00
01
10
00
00
11
10
11
00
11
11
10
10
01
10
00
00
10
10
01
00
10
11
00
11
00
01
00
00
10
10
01
00
11
10
00
10
11
10
01
00
11
00
00
10
11
01
01
10
11
00
00
00
10
11
00
10
10
00
00
10
00
10
00
00
00
00
10
01
10
01
11
01
10
11
00
00
10
11
00
00
11
11
10
00
01
00
10
10
01
00
10
10
01
01
10
10
10
01
10
10
00
10
11
10
00
10
00
01
10
00
10
00
00
10
10
01
00
01
11
00
00
00
10
00
10
10
00
00
00
10
00
11
10
10
10
01
10
01
10
10
11
10
10
10
01
01
11
11
00
10
01
10
10
11
10
10
00
10
01
10
10
00
00
00
11
11
11
00
01
00
11
00
11
00
00
00
10
10
01
00
00
10
00
11
00
01
10
11
10
10
10
00
10
11
11
10
01
01
10
10
01
00
00
11
10
10
11
01
01
00
01
10
00
10
10
10
01
00
11
10
01
10
00
11
00
01
01
11
10
10
01
10
10
00
00
00
10
10
01
10
10
01
00
11
10
11
11
00
00
00
00
10
11
01
10
10
10
10
11
10
00
01
00
00
00
11
10
11
00
00
00
11
10
00
11
00
10
00
10
10
00
00
00
00
10
10
10
00
01
10
01
10
11
00
01
01
10
11
01
11
10
11
00
11
10
01
00
10
11
00
00
00
00
11
10
10
00
00
10
10
11
01
10
00
01
10
01
10
11
11
11
11
00
11
10
00
10
11
01
11
10
01
11
10
00
00
10
11
01
00
00
00
01
10
10
10
10
10
01
10
10
10
00
10
00
00
11
10
00
10
00
00
11
11
00
11
10
01
10
01
00
11
10
11
11
00
10
00
11
01
11
11
01
00
10
00
10
10
00
00
01
10
01
00
10
10
01
01
01
10
10
00
11
01
00
11
10
10
00
00
10
10
00
00
00
10
00
00
00
01
00
11
10
10
01
10
11
00
11
10
11
01
10
00
00
11
11
00
00
10
10
01
01
01
00
10
11
00
00
00
11
10
00
00
10
10
10
01
00
10
10
00
10
10
00
10
00
01
10
10
01
11
10
00
00
10
10
10
11
01
00
00
11
10
11
11
01
00
10
11
00
01
00
10
10
00
01
11
10
00
10
11
11
00
00
10
10
00
11
11
10
00
00
00
10
00
01
10
01
00
11
00
10
01
00
10
10
01
00
11
00
10
11
11
01
01
00
10
11
10
00
00
10
10
10
00
00
10
10
00
01
10
00
11
01
00
10
01
01
11
00
10
11
00
10
10
01
00
11
10
11
01
11
11
01
01
01
01
01
10
10
00
00
10
10
00
01
10
11
10
10
00
00
00
10
10
00
00
10
10
01
10
01
00
01
00
10
01
00
01
11
10
10
10
00
00
00
11
10
00
01
11
10
01
00
00
01
10
00
00
10
00
11
11
01
11
10
11
00
11
10
00
01
10
10
10
00
00
10
10
00
10
10
10
10
00
00
10
10
10
01
11
10
00
11
01
10
11
00
00
00
01
10
10
01
01
01
11
10
10
00
01
00
11
10
10
00
00
00
10
10
00
10
10
11
10
11
10
00
11
10
01
00
00
10
10
00
00
10
10
00
00
10
10
00
00
10
10
10
10
00
00
00
10
11
00
00
00
10
00
01
01
10
00
11
10
01
00
11
10
10
00
10
10
01
00
10
00
10
11
10
00
11
01
00
10
00
11
10
10
10
00
00
00
01
11
10
10
10
10
10
10
00
01
10
10
00
00
00
10
11
11
10
10
10
00
11
10
01
01
10
10
10
10
10
10
00
00
11
11
11
00
11
00
11
01
00
10
00
01
10
01
00
11
00
00
10
11
01
01
10
11
00
01
00
11
10
00
01
01
10
11
00
01
00
10
10
00
10
11
10
00
11
11
10
00
10
00
11
00
00
11
11
10
10
11
00
01
11
00
00
10
10
00
00
11
01
01
10
00
00
10
00
01
00
11
11
00
00
00
10
01
10
10
10
00
00
01
10
00
00
10
00
10
00
01
10
11
00
01
10
11
10
00
01
11
11
10
10
00
10
00
01
10
11
11
00
01
00
10
11
00
01
11
10
01
10
01
00
10
10
00
10
10
10
00
10
10
00
00
00
10
11
10
01
10
10
10
01
00
01
11
10
01
01
10
10
00
00
00
00
11
10
11
01
00
11
10
00
01
10
10
00
01
10
10
00
00
11
01
11
10
10
00
10
10
00
00
11
10
10
10
11
10
00
10
10
00
01
00
00
00
11
00
10
11
00
00
10
01
01
00
11
10
11
10
00
10
01
01
10
00
11
01
00
11
00
11
10
01
11
10
01
00
11
11
00
10
01
00
10
10
01
01
10
10
01
10
10
01
00
10
10
01
00
10
01
10
01
00
00
00
11
10
10
10
10
11
00
01
11
10
01
00
00
00
00
11
01
10
10
10
00
01
00
10
01
10
10
10
10
00
01
10
11
10
10
10
01
10
11
00
01
01
00
10
10
11
00
11
10
00
10
01
10
01
01
10
10
00
10
10
10
00
10
10
00
10
01
01
01
10
10
00
10
11
11
00
01
10
00
11
10
11
10
01
00
01
01
01
10
00
01
10
10
00
00
10
10
00
11
01
10
00
10
00
00
01
11
10
00
10
11
00
01
00
01
11
00
11
11
10
10
10
01
11
10
00
00
11
00
00
10
10
00
00
10
11
01
00
10
01
11
10
10
10
00
01
00
10
10
11
00
10
10
10
00
01
10
10
00
01
00
01
10
01
10
01
10
10
10
00
01
11
11
00
11
10
10
00
00
10
11
00
11
00
01
11
00
01
10
10
10
10
01
00
10
00
01
01
11
10
00
00
10
01
10
10
01
01
11
10
11
01
00
10
00
11
10
01
00
11
00
00
11
10
10
10
10
00
00
10
10
10
01
01
10
11
00
10
10
00
01
00
00
10
01
10
10
11
10
00
00
10
11
10
01
10
11
01
01
11
10
00
11
10
00
00
10
11
00
01
10
11
00
01
00
10
00
01
10
01
10
10
00
00
10
00
01
10
00
01
10
00
00
11
11
11
11
00
10
10
10
00
00
10
10
00
10
00
11
01
11
11
00
10
01
10
10
00
00
01
11
10
01
01
10
10
00
10
10
00
10
00
00
00
00
01
10
10
10
11
00
00
11
10
01
00
00
00
01
10
01
00
10
10
00
10
10
10
00
00
11
00
10
01
11
00
11
01
00
10
11
00
00
10
10
11
11
00
10
10
00
11
10
00
10
11
01
10
10
11
00
00
01
00
00
00
00
10
10
00
11
10
00
01
11
00
00
10
10
11
01
10
10
11
00
10
10
00
10
10
11
10
00
01
10
10
11
10
00
10
10
01
10
10
10
00
00
10
11
10
10
00
10
10
00
00
10
01
10
01
01
00
11
10
00
01
01
10
10
10
00
10
00
01
10
10
00
00
00
11
01
10
10
10
00
00
11
00
11
00
01
10
00
00
11
01
01
10
10
00
00
11
00
10
11
11
00
00
10
11
11
00
00
10
01
01
00
11
10
01
00
00
10
00
00
11
10
00
10
10
01
10
00
10
00
00
00
11
10
11
00
01
11
10
10
00
10
10
10
00
11
10
11
00
01
00
00
11
00
00
11
10
00
11
00
00
11
10
00
00
00
10
11
10
01
10
00
00
11
01
10
00
01
11
00
00
00
11
00
00
10
10
01
00
10
01
00
10
00
10
10
11
01
00
00
10
10
10
01
10
10
00
10
10
01
00
01
10
10
10
00
10
10
10
00
00
00
10
00
10
10
01
01
00
10
00
11
00
00
10
10
01
00
10
00
10
00
11
10
01
11
10
11
01
01
10
10
00
10
00
01
11
01
01
11
10
01
11
01
01
10
10
01
00
10
01
11
10
01
00
10
11
11
00
00
01
10
00
11
11
11
00
11
00
00
10
00
10
11
00
10
10
00
10
10
11
00
00
10
00
10
10
11
01
11
10
10
11
01
10
10
11
00
11
10
10
00
00
00
10
00
10
10
10
00
00
11
10
00
10
11
00
10
10
01
10
10
01
10
00
00
10
10
10
00
10
10
10
10
01
00
11
00
01
00
00
10
10
00
10
10
10
01
00
10
10
01
11
01
11
10
11
10
10
00
00
00
10
01
00
00
00
10
11
01
10
10
11
11
11
11
10
00
00
00
00
11
10
01
10
00
11
11
11
00
10
00
00
10
01
10
01
10
10
11
00
00
00
10
10
00
00
10
11
11
00
11
11
00
01
10
10
10
11
01
01
01
10
10
00
00
10
11
01
01
00
00
00
00
01
00
10
11
10
01
01
10
01
00
10
10
10
00
00
00
00
11
10
01
10
00
11
11
01
10
00
00
10
11
11
00
00
10
01
10
00
01
10
00
01
01
10
10
10
10
10
00
11
00
00
01
10
10
11
00
11
11
01
10
01
00
00
11
10
00
01
11
01
00
10
01
10
10
11
10
01
00
10
00
10
10
10
10
00
10
01
10
00
00
10
10
00
10
00
01
00
11
10
10
01
10
00
01
00
10
10
10
11
10
01
11
00
00
10
10
10
10
00
00
11
01
10
00
11
00
00
10
00
10
10
10
00
00
00
01
10
11
10
10
01
00
11
10
01
00
01
11
00
10
10
11
01
01
00
11
01
10
10
00
10
01
10
10
01
00
10
10
10
00
00
00
00
00
10
11
00
01
10
01
10
00
11
01
10
11
10
01
11
11
00
00
10
10
00
10
10
00
11
10
10
01
00
00
10
10
10
01
00
11
01
01
11
10
10
11
11
00
00
11
11
01
11
01
00
11
00
11
10
00
01
11
10
00
01
01
01
10
10
11
00
10
00
00
00
00
00
10
10
00
00
10
10
00
10
10
01
10
00
10
00
10
01
10
10
10
01
00
10
00
11
10
10
10
00
10
10
00
01
11
01
10
01
00
10
01
00
00
00
00
10
10
00
00
10
11
11
00
11
10
00
01
00
10
10
00
11
01
00
01
01
10
10
00
01
10
10
10
11
01
01
01
00
10
11
01
00
10
10
00
00
10
00
00
00
11
01
10
11
10
10
11
10
00
01
01
10
10
10
10
10
11
10
00
00
00
10
00
10
01
10
00
01
00
10
01
00
00
00
11
00
10
11
10
11
00
11
10
00
01
01
01
11
11
01
01
01
01
10
10
10
00
10
11
00
00
10
11
11
00
00
11
00
11
00
10
00
00
00
11
11
01
11
10
10
00
01
00
10
00
00
01
10
10
00
10
10
00
10
10
01
01
10
00
10
00
10
00
00
10
00
11
00
00
10
01
00
00
10
00
10
10
10
11
00
10
11
01
10
00
00
10
11
00
11
10
11
10
00
00
11
01
01
00
10
00
01
10
01
00
11
00
01
10
11
01
10
10
00
00
10
00
10
10
01
10
10
01
00
10
00
11
11
10
01
00
10
10
00
01
10
10
01
01
00
10
10
00
10
11
10
10
11
01
10
00
00
01
10
10
10
00
11
00
00
10
10
01
11
10
10
01
00
10
10
01
10
01
00
11
10
00
01
10
01
00
10
00
11
10
01
01
00
10
11
00
10
10
01
00
01
00
11
11
11
00
00
01
00
10
10
11
00
00
10
00
01
10
10
01
00
00
01
10
00
10
00
10
10
00
11
10
11
01
00
10
11
00
00
00
10
01
00
10
10
10
00
00
01
10
11
00
10
01
10
01
10
10
00
11
10
00
01
10
10
00
00
11
01
00
01
10
11
00
01
10
00
10
10
00
10
10
00
11
00
00
10
11
11
01
00
11
00
01
00
10
11
10
10
11
01
00
10
10
00
00
10
10
11
00
00
00
00
00
00
10
10
00
11
11
11
00
11
10
00
01
00
00
11
00
00
10
11
01
00
10
00
00
01
10
01
10
11
00
01
10
01
11
11
10
00
10
11
11
00
00
10
11
00
10
10
01
00
00
10
10
00
00
01
10
00
01
11
00
10
10
00
00
10
11
01
00
10
10
10
11
10
11
10
00
01
10
00
00
00
11
11
00
00
11
10
00
10
10
10
00
10
00
10
10
10
10
11
00
10
10
00
00
00
01
10
10
11
00
10
10
00
01
10
01
01
10
11
10
00
00
00
10
00
00
10
11
00
10
00
10
10
00
11
01
01
00
01
10
00
00
00
10
11
10
01
10
11
01
00
00
00
00
11
00
00
11
11
01
10
00
00
10
10
01
11
10
11
00
00
00
01
11
10
10
10
10
00
00
11
00
11
00
11
10
00
01
01
11
00
00
10
10
10
10
00
00
10
00
11
00
11
10
11
10
11
01
01
00
10
00
00
11
11
11
00
10
11
10
01
10
10
01
00
00
11
01
00
01
11
00
10
11
01
10
01
00
11
00
10
10
11
11
00
00
00
01
11
10
10
00
00
00
00
00
10
00
10
00
01
11
00
10
01
10
10
10
00
00
00
11
10
01
10
00
00
10
01
11
01
10
00
01
10
01
01
10
11
00
10
00
00
10
00
00
10
10
01
10
10
10
10
00
00
01
00
10
01
01
10
10
00
00
01
10
00
10
00
00
01
11
11
00
11
10
10
01
00
10
10
11
00
10
10
01
01
10
10
11
00
01
01
00
10
00
10
01
00
10
01
10
10
00
10
00
00
11
11
11
10
10
10
11
10
01
00
10
10
01
00
10
00
00
10
10
11
00
01
10
01
11
00
10
11
11
10
10
01
10
01
00
00
00
11
11
11
10
10
00
01
00
00
11
10
00
01
00
10
00
00
10
10
00
00
00
01
00
01
01
10
10
10
10
00
10
01
00
11
11
10
10
00
00
01
00
10
00
01
01
11
10
11
11
00
10
00
10
00
00
10
01
10
11
00
00
01
10
00
10
00
01
10
11
10
10
01
00
10
01
10
00
11
11
00
10
00
00
10
11
01
11
10
00
00
10
01
10
00
00
00
00
11
10
01
10
00
10
11
00
00
00
10
01
00
01
01
00
00
10
00
00
11
11
11
00
01
10
10
00
10
10
10
10
00
11
01
00
10
00
00
10
00
11
00
00
11
10
00
00
10
00
10
00
00
01
11
10
10
10
00
11
11
10
10
00
00
00
10
01
01
10
11
00
00
01
00
10
11
00
00
10
01
00
11
10
10
10
10
10
01
11
10
00
00
11
00
00
01
00
01
10
00
01
01
10
11
11
01
10
00
01
10
10
00
00
10
10
01
00
11
01
10
00
10
10
10
01
01
10
01
00
10
01
10
01
11
01
11
11
00
00
10
11
10
11
11
00
10
00
01
00
10
10
10
10
10
00
00
10
10
00
00
11
10
01
10
00
00
11
00
10
11
11
10
10
10
10
00
00
10
01
00
10
10
01
00
00
00
10
11
11
01
00
11
10
10
11
00
00
10
10
00
00
10
10
01
10
10
10
10
00
10
10
10
10
10
00
00
00
00
00
10
00
10
10
10
00
00
00
11
00
00
10
01
11
00
01
11
11
00
00
10
00
10
11
00
11
00
11
10
00
00
10
00
00
10
10
00
11
10
10
00
10
01
01
10
00
00
10
10
00
10
10
10
01
00
00
00
00
10
01
10
00
11
11
01
01
01
01
00
11
00
11
10
11
00
00
10
00
10
10
00
01
10
00
01
00
11
00
01
10
11
00
01
11
10
11
01
00
11
11
00
00
01
10
10
00
00
00
10
10
01
11
11
00
10
01
00
00
10
10
00
00
10
10
11
10
00
00
10
10
11
00
00
11
10
10
01
11
10
11
01
10
01
01
00
00
10
10
11
01
01
11
11
11
11
11
11
11
00
00
10
11
00
00
10
11
11
00
00
01
11
10
00
11
11
00
00
00
01
10
10
00
10
11
10
10
10
11
00
00
11
00
01
10
11
00
10
10
11
01
00
11
10
10
01
01
00
01
00
11
01
11
00
01
10
10
00
00
11
01
01
11
11
10
11
00
00
00
10
11
00
01
11
10
11
00
01
00
00
01
00
00
00
00
10
10
00
01
10
00
00
10
01
11
00
10
10
00
00
10
00
00
10
01
10
11
11
10
11
10
01
01
01
10
01
11
00
00
10
10
00
10
10
00
01
10
01
10
00
10
11
10
10
11
10
10
00
00
10
10
01
00
11
00
00
10
00
00
10
00
01
10
11
01
10
00
10
11
10
10
00
11
10
01
00
10
00
10
11
01
00
10
11
01
01
01
00
11
10
01
11
10
10
00
00
10
10
00
10
00
00
10
10
10
00
11
10
10
10
00
00
10
10
00
10
10
01
00
10
11
00
01
11
10
11
10
01
01
10
00
11
10
10
00
10
11
10
11
10
01
10
11
10
00
01
11
00
11
10
01
01
11
10
10
10
00
00
11
01
10
00
00
00
00
00
00
10
01
10
00
01
10
01
00
00
10
00
11
01
10
11
00
01
10
01
00
10
10
01
10
11
00
00
10
00
00
00
10
10
01
10
11
01
01
00
10
00
00
00
11
10
00
00
10
10
10
10
01
10
00
10
10
11
10
00
00
10
10
10
10
00
10
01
10
11
00
11
10
10
00
00
10
00
00
10
00
10
01
01
00
00
10
01
01
10
10
10
00
00
10
00
00
10
10
00
10
10
00
00
01
00
01
11
10
01
10
10
10
00
00
10
01
00
10
10
00
10
00
00
00
10
01
01
00
01
00
00
00
11
11
00
00
10
00
01
10
01
10
10
11
00
01
10
00
00
10
01
10
10
01
10
10
10
10
00
00
10
11
11
11
10
00
11
10
01
10
00
00
10
00
00
10
10
10
10
10
00
01
00
10
10
10
10
10
00
10
10
11
00
10
10
10
00
00
00
11
10
11
00
00
10
10
10
01
11
11
10
00
00
01
01
01
01
11
11
10
00
01
10
10
00
00
10
10
01
00
11
10
01
11
00
01
10
10
01
01
11
11
00
00
00
11
00
11
10
01
01
10
01
00
11
10
11
11
01
01
01
11
00
01
11
10
01
00
11
10
11
00
10
00
00
10
00
00
11
00
01
10
01
10
01
11
11
00
00
00
00
11
10
00
10
10
00
11
10
11
00
11
10
10
10
11
11
01
11
00
10
11
01
10
10
00
01
11
11
10
00
10
01
10
10
00
01
00
00
11
10
11
00
11
10
01
10
01
00
11
10
10
00
01
10
00
00
10
11
10
10
10
11
10
11
00
00
11
11
10
10
10
10
10
00
00
00
11
01
11
11
00
10
00
01
01
01
10
10
00
01
10
10
00
10
00
10
00
00
00
00
10
10
00
11
11
00
10
01
10
01
10
00
00
00
01
10
01
00
11
10
01
00
00
10
10
00
10
10
00
00
01
11
11
11
11
01
01
01
10
01
11
11
00
01
10
01
11
10
10
11
00
11
10
00
11
00
00
10
10
01
01
10
10
00
01
11
10
00
11
10
00
00
10
00
01
00
11
00
00
01
10
00
01
10
10
00
00
10
10
10
10
00
10
11
00
01
11
10
00
00
10
10
11
11
00
11
10
10
11
10
00
00
00
10
11
00
10
00
10
00
00
11
01
10
11
01
10
10
00
00
10
00
00
10
10
00
00
10
10
11
10
00
01
00
10
01
11
00
00
00
11
11
00
00
10
01
00
10
10
10
00
00
00
10
00
11
10
10
10
00
00
01
00
00
00
00
11
00
00
10
00
00
10
10
01
01
10
00
00
10
10
11
00
10
11
10
11
00
00
00
01
10
01
10
10
00
11
01
00
10
01
11
11
01
11
10
00
10
00
11
10
00
01
10
11
11
11
00
10
10
10
00
01
10
11
01
10
10
00
00
11
00
00
10
10
00
11
10
00
01
11
10
10
10
00
00
11
01
10
10
11
10
00
10
00
11
01
10
00
01
00
11
00
01
10
01
00
01
00
00
00
10
01
01
11
11
11
10
00
00
00
01
10
10
00
00
10
10
00
11
10
00
00
10
10
00
10
01
00
11
10
01
10
10
11
00
11
00
10
10
00
00
10
00
00
10
10
10
11
10
01
10
01
00
10
11
11
00
00
10
10
10
10
10
11
01
00
11
10
00
00
10
10
01
11
10
11
10
10
10
10
01
01
00
10
00
01
00
11
00
00
01
10
11
10
11
10
10
10
10
00
10
00
01
10
11
00
01
11
10
10
00
00
11
01
00
00
11
01
10
00
10
10
00
10
11
10
01
00
10
00
10
00
10
01
10
10
00
00
00
10
11
01
11
10
00
00
11
10
10
00
00
00
00
11
10
10
00
00
10
10
10
00
01
11
10
00
10
11
01
00
00
11
00
00
10
10
00
00
00
11
00
10
11
00
10
11
00
10
10
01
01
00
10
10
10
10
00
01
10
11
00
10
00
00
10
01
00
11
10
00
00
10
01
11
00
00
11
00
01
10
10
10
00
01
01
10
10
10
00
00
11
00
00
10
11
00
00
00
10
11
00
00
10
11
01
11
01
10
00
10
01
00
01
01
11
00
01
00
10
11
00
00
10
00
01
01
00
11
00
11
00
10
00
10
10
01
00
00
00
00
10
11
10
10
10
01
10
00
00
10
11
10
10
11
11
00
01
00
10
01
00
10
11
00
01
10
00
11
00
00
01
10
10
00
00
00
00
10
11
01
11
10
01
00
11
00
10
10
00
11
10
10
01
11
11
00
01
11
10
01
00
00
11
10
10
00
10
10
10
10
00
01
10
10
01
00
10
10
00
00
00
10
00
10
10
10
11
10
11
11
00
00
01
10
10
00
10
00
10
10
10
01
10
00
01
10
11
01
10
11
01
10
10
11
01
11
10
00
10
10
01
11
00
00
01
10
10
10
01
01
10
00
10
10
00
00
01
00
11
11
10
00
11
10
00
10
10
00
00
01
11
10
01
11
00
10
10
01
00
01
01
01
10
00
00
00
00
11
11
01
10
10
10
10
00
10
00
01
00
10
10
10
11
00
01
11
01
11
00
00
00
01
00
00
10
10
00
01
00
10
11
00
01
00
10
11
00
10
10
01
01
11
11
10
10
00
00
10
00
00
10
10
01
00
10
11
00
00
10
00
10
00
10
00
00
11
01
01
11
10
00
11
11
01
00
10
10
01
01
01
10
10
00
10
11
01
00
11
00
00
00
00
10
00
01
10
01
11
00
10
11
00
11
00
00
10
01
00
11
00
11
01
10
01
00
11
11
00
10
00
00
11
11
01
10
11
00
00
10
11
00
00
10
00
11
01
01
10
01
11
11
10
11
00
10
01
01
00
10
10
10
00
11
10
01
01
00
00
00
10
10
11
00
00
00
10
10
10
11
00
00
11
01
01
00
01
10
10
10
01
10
10
01
10
11
10
10
01
01
01
10
10
11
00
01
10
10
00
10
10
01
00
11
00
11
11
00
10
00
11
01
10
10
00
11
01
00
10
10
10
10
10
10
01
00
10
01
00
10
01
10
10
01
10
11
00
01
10
01
10
00
00
11
11
00
00
10
10
00
10
10
01
11
11
10
11
00
10
00
01
00
10
10
00
10
01
01
10
11
00
10
01
01
00
10
10
00
00
00
01
10
10
00
00
01
00
10
11
10
00
10
00
01
00
00
10
10
00
10
11
00
10
00
00
10
10
10
11
10
01
10
10
10
00
00
10
10
00
01
01
00
10
10
00
11
00
00
10
01
10
11
01
00
10
10
00
01
01
11
01
00
00
11
11
10
10
10
10
10
01
00
00
10
00
10
10
01
10
00
00
00
10
10
00
01
00
11
00
00
10
10
10
00
00
10
00
00
01
00
10
01
10
10
01
01
01
10
10
00
10
10
01
01
10
01
10
10
01
10
00
11
00
00
11
10
10
00
00
10
10
10
00
01
01
00
00
00
10
01
10
10
00
10
00
00
10
01
10
10
00
11
00
10
10
00
01
00
01
10
11
00
01
01
10
10
01
10
10
01
10
10
01
10
01
00
10
00
11
01
00
00
00
01
10
01
10
10
10
00
00
10
11
10
00
00
00
00
11
00
10
00
01
00
10
00
10
10
01
00
00
10
10
00
00
00
10
10
11
00
00
10
00
10
11
00
01
00
11
10
01
00
10
00
11
10
00
00
11
10
00
01
11
00
01
10
00
01
00
11
00
10
10
10
00
01
00
10
10
01
11
11
00
10
10
11
00
10
01
01
10
10
11
01
11
01
00
10
01
10
11
10
01
00
10
10
01
00
10
10
10
00
11
01
01
00
10
00
10
10
00
00
01
10
10
11
00
00
00
10
10
10
10
10
01
11
10
11
11
01
10
10
00
10
10
10
00
10
00
11
10
01
11
00
00
10
10
00
01
01
10
11
01
11
11
10
11
01
11
10
01
00
11
11
10
01
00
00
10
00
00
10
10
10
11
00
10
00
10
10
01
00
11
11
00
10
11
00
10
00
00
01
00
11
10
00
10
10
00
10
01
01
11
01
01
10
10
00
10
11
00
00
10
10
01
00
00
10
10
00
01
10
10
11
00
00
10
10
10
01
01
11
10
00
00
00
00
11
11
00
11
10
10
10
00
01
11
00
01
11
01
01
01
11
01
10
00
00
10
10
10
01
00
11
11
00
11
10
01
10
01
10
10
10
01
00
11
11
01
11
10
11
10
00
01
00
11
10
11
00
10
11
00
10
00
01
10
11
01
00
10
10
00
01
10
00
00
11
10
01
00
11
11
10
10
00
00
10
00
11
00
10
10
10
00
10
01
01
11
11
00
01
01
10
00
01
10
00
00
10
00
11
10
10
10
00
00
10
01
11
11
10
01
01
10
10
11
00
01
10
10
10
11
01
00
10
10
11
00
00
01
10
11
00
00
10
00
00
01
01
10
10
11
00
10
10
00
10
00
00
00
10
11
10
11
00
10
10
10
00
00
10
10
00
01
00
10
10
11
00
01
10
10
00
00
00
00
10
10
10
00
00
11
01
01
00
10
00
01
01
01
11
10
00
10
00
00
10
01
11
00
01
00
01
10
10
10
11
10
00
01
10
00
00
10
00
00
10
10
00
01
11
11
11
10
00
10
00
01
00
11
10
10
00
00
10
00
11
10
10
01
01
10
10
11
00
00
10
01
01
01
11
10
00
10
10
10
10
00
00
00
10
10
00
11
01
00
00
00
10
00
00
00
10
10
10
01
00
10
11
11
01
00
10
10
10
10
01
00
11
10
10
11
10
11
00
00
00
10
00
10
01
00
01
10
11
10
10
11
11
00
10
01
00
10
10
00
00
00
11
10
00
01
10
00
00
00
11
11
10
00
00
00
00
11
11
11
01
11
01
11
10
00
00
10
11
00
00
11
10
00
11
01
00
00
10
10
11
00
10
10
10
00
10
11
00
11
00
10
10
00
10
01
00
00
10
10
00
00
00
10
00
10
11
10
10
11
11
10
01
00
10
10
00
01
01
10
11
11
10
00
00
01
01
01
10
10
00
10
10
00
01
10
11
01
10
00
10
10
01
00
00
00
11
01
00
01
11
00
00
11
11
01
11
10
01
10
00
11
10
01
00
01
00
11
10
01
10
10
10
10
01
01
01
10
10
00
11
11
00
01
10
00
11
00
10
00
00
10
10
00
01
10
10
10
00
00
01
11
01
00
01
10
11
01
01
11
11
01
00
00
00
11
00
01
11
10
00
10
00
10
00
00
01
00
11
10
01
10
00
01
10
10
00
00
00
01
10
10
10
00
10
10
00
10
10
10
10
00
01
11
11
00
01
10
11
10
11
00
01
11
10
10
00
01
11
00
00
10
11
00
11
10
00
11
10
10
00
11
10
10
11
00
01
10
10
10
11
00
10
01
01
11
00
10
00
00
00
00
10
01
00
11
00
00
00
10
10
00
00
11
10
00
10
01
11
11
11
00
01
00
00
11
00
00
10
01
00
10
10
11
10
00
10
10
00
10
10
00
00
11
00
10
00
00
10
11
01
11
00
01
11
10
00
11
00
00
10
00
11
10
11
00
01
11
11
10
01
00
11
10
11
11
10
10
01
00
10
00
00
10
10
10
00
00
10
00
11
01
11
10
11
10
00
01
01
00
10
10
00
00
00
10
11
10
10
00
10
10
01
01
10
11
00
11
10
11
00
10
10
00
00
10
11
01
11
10
10
10
10
00
00
00
10
01
00
00
11
10
00
00
10
11
10
00
00
11
10
00
10
00
01
10
00
01
10
10
10
10
00
10
01
10
01
10
11
11
11
10
01
10
10
10
00
00
10
00
00
11
11
11
10
10
00
01
10
10
10
00
11
10
10
11
10
10
01
01
10
00
00
10
10
10
00
01
10
10
01
01
00
00
11
10
00
10
00
11
00
00
00
10
00
00
00
00
10
10
10
10
00
01
10
10
11
11
01
11
11
10
10
00
00
00
10
10
00
00
00
10
10
10
00
01
00
10
10
10
00
11
11
01
00
01
10
10
00
00
10
10
10
00
10
11
01
00
11
00
00
00
00
00
00
11
10
11
01
11
01
00
00
10
11
00
01
11
10
00
10
00
11
10
00
10
00
11
11
01
01
10
00
11
01
11
10
00
10
00
00
10
10
10
00
01
11
00
10
00
00
11
10
00
10
11
10
01
01
10
00
11
00
00
10
01
00
00
10
10
11
10
00
10
10
10
00
00
10
00
10
10
00
10
10
11
01
01
10
10
10
11
10
01
11
00
11
10
01
00
11
10
00
01
10
01
00
11
11
00
10
10
01
00
01
00
10
11
01
01
10
00
10
10
10
01
00
10
10
11
01
01
11
01
10
10
11
00
01
10
10
01
01
11
10
11
00
10
10
00
10
10
01
00
00
11
00
01
11
01
10
00
00
10
00
00
00
10
01
10
01
00
11
10
10
01
01
01
11
11
10
01
00
11
01
11
10
00
00
10
10
00
00
11
10
00
00
01
11
10
10
11
10
11
10
10
00
00
00
10
10
01
10
00
00
01
00
01
00
10
10
10
11
11
11
01
10
00
10
10
00
00
11
10
01
00
11
00
01
00
00
11
00
11
10
00
00
10
10
10
10
00
11
10
00
00
10
10
00
00
10
10
00
10
11
10
10
00
00
10
00
01
10
10
01
00
11
10
01
01
10
11
00
01
10
10
00
00
11
10
00
01
10
10
00
01
10
11
10
01
01
10
10
00
10
01
10
10
00
00
11
00
10
10
11
01
10
11
00
10
10
01
10
00
10
10
11
01
00
01
00
11
11
01
00
01
10
11
10
00
10
11
01
10
00
00
10
11
00
00
01
10
10
11
01
10
00
01
00
11
11
11
10
00
00
10
00
00
10
11
01
01
01
10
10
01
10
10
10
10
00
00
11
10
10
01
00
10
11
00
10
00
10
00
10
10
00
10
10
10
01
01
10
00
10
01
00
11
10
10
00
10
10
00
11
00
10
10
00
10
01
10
00
00
10
10
11
11
00
01
01
01
01
00
11
00
10
11
01
10
10
00
00
01
10
01
01
00
10
00
10
10
10
00
10
10
10
00
10
01
10
00
11
10
00
01
01
01
11
10
01
10
00
00
00
10
10
00
00
10
00
00
00
10
00
00
10
10
10
00
10
10
00
10
00
00
10
10
10
10
10
10
00
00
01
10
00
00
01
10
00
10
10
11
10
10
00
01
00
00
10
11
10
00
10
01
00
10
10
00
00
10
10
01
01
10
00
01
10
10
10
11
11
01
00
00
11
10
10
11
01
00
11
11
00
01
11
10
10
10
11
11
01
00
10
11
10
10
10
00
01
11
10
10
10
01
10
10
00
00
01
10
10
01
01
10
11
10
00
00
01
00
10
11
01
01
10
00
00
00
11
00
10
10
00
00
11
11
11
00
10
10
10
11
01
00
10
11
00
01
11
10
10
01
01
10
00
01
10
00
10
11
01
01
11
10
00
01
10
10
10
00
00
00
11
11
11
10
00
10
00
00
00
00
11
10
00
00
00
00
11
01
00
11
10
00
01
10
11
00
11
00
00
10
01
11
10
11
01
10
10
01
01
10
11
01
00
00
01
10
11
10
01
10
10
01
00
00
00
10
00
10
10
00
10
10
10
01
01
11
10
10
00
00
10
01
10
01
10
00
11
11
10
00
10
10
00
01
00
00
01
11
01
00
01
11
01
00
11
00
10
00
10
10
00
01
10
10
10
00
10
00
00
10
10
01
11
00
10
00
11
10
01
01
10
11
10
10
11
11
00
10
00
00
00
11
10
00
01
00
10
01
00
11
01
01
10
00
10
00
10
10
00
01
11
00
10
00
10
10
01
10
10
00
00
10
01
00
00
11
11
01
00
10
11
10
00
00
11
10
01
00
10
00
11
01
00
11
10
01
01
10
11
11
01
10
10
00
00
11
10
11
01
00
01
00
00
00
00
11
01
00
11
10
10
01
00
10
10
11
00
10
10
00
00
01
00
11
10
00
10
11
00
11
01
01
00
11
00
00
00
10
10
00
11
10
11
10
00
00
10
11
10
11
00
11
11
00
10
00
01
10
10
00
10
01
00
10
01
01
00
00
10
01
00
00
11
11
00
10
01
00
10
10
00
10
10
01
00
00
10
10
00
01
10
00
00
10
10
00
10
10
11
00
11
10
01
10
11
01
01
01
10
00
10
11
00
01
10
10
00
00
01
01
11
11
00
00
10
10
00
00
11
10
01
01
10
11
00
01
10
00
00
00
00
10
00
00
10
10
10
10
00
10
00
00
01
00
00
10
10
00
01
00
11
10
00
11
11
01
01
00
01
10
10
11
00
01
10
10
10
11
00
00
00
00
10
11
00
11
10
00
00
10
10
00
00
01
10
10
10
10
10
10
00
01
00
00
00
10
00
00
10
10
01
10
00
01
00
00
01
11
00
10
01
11
10
00
10
10
11
01
00
00
10
00
01
00
11
11
01
00
00
10
00
00
11
10
00
01
11
01
00
00
10
10
01
10
10
00
10
10
11
00
01
11
10
11
00
11
10
11
00
00
00
01
10
10
10
01
01
00
10
00
10
10
01
00
00
11
01
01
10
10
10
00
01
11
10
00
00
01
10
00
00
10
10
10
10
01
01
10
10
10
01
01
10
11
11
00
00
00
00
10
10
01
11
10
11
01
11
10
01
00
00
10
10
00
10
00
01
00
00
10
00
10
00
00
10
00
10
01
10
11
10
10
01
11
11
00
11
11
11
10
00
00
11
01
10
10
01
00
01
10
10
00
11
11
00
00
00
10
11
01
10
11
00
10
00
10
00
00
10
10
01
00
00
00
11
10
00
00
10
01
00
10
10
11
00
10
00
11
10
10
00
00
00
00
10
10
00
00
00
00
10
01
00
01
00
10
00
10
10
00
00
11
11
11
00
11
01
10
10
01
01
10
00
00
10
10
00
00
10
11
10
01
00
00
10
00
01
11
11
00
11
11
11
01
11
00
11
00
00
10
10
00
11
10
01
00
11
10
10
10
00
10
00
01
10
00
01
10
10
01
11
10
10
10
01
00
00
01
01
01
10
10
10
00
00
11
10
00
11
01
00
01
00
10
00
01
10
10
00
01
01
10
10
00
00
10
11
10
01
00
10
10
00
10
00
10
10
10
00
11
00
01
01
11
11
10
00
01
10
10
10
00
00
11
10
10
00
01
10
10
10
00
01
11
11
10
01
00
11
10
10
00
01
11
00
00
01
01
11
10
00
00
10
01
00
10
11
01
11
11
00
10
00
00
00
00
10
10
11
01
00
01
00
10
00
10
01
11
10
00
00
10
00
11
00
01
00
11
11
10
01
01
00
10
11
00
01
01
11
11
11
10
11
00
11
01
00
10
01
00
00
10
01
01
10
01
10
00
10
10
11
00
00
10
10
01
11
01
00
01
10
10
00
00
00
10
01
00
10
00
01
10
10
00
00
11
11
11
10
10
01
00
10
01
00
11
10
00
00
00
10
01
11
10
10
00
11
11
00
10
11
00
00
10
11
00
00
10
10
00
01
10
10
01
01
10
00
01
00
10
11
00
11
11
00
01
11
00
10
10
00
10
10
01
00
11
11
00
00
10
00
10
10
00
01
10
10
01
01
11
01
00
00
00
10
10
01
10
10
01
10
11
10
10
01
00
10
00
00
10
11
00
00
00
10
10
10
00
11
10
10
01
01
01
00
10
10
00
01
00
00
11
00
00
10
00
10
00
10
11
10
01
00
10
00
10
01
11
00
00
10
01
01
11
10
01
01
00
11
00
00
10
10
01
01
00
11
11
11
00
00
00
10
11
00
00
10
11
00
11
10
00
11
01
11
00
00
00
11
00
00
10
11
10
01
01
11
10
00
00
00
10
01
00
10
11
10
00
11
00
10
00
00
01
01
10
11
10
10
10
11
10
00
10
11
00
00
00
10
00
10
00
00
00
11
11
11
00
00
01
00
10
10
10
10
00
00
01
00
10
00
00
11
10
11
10
01
11
11
01
00
01
10
00
10
00
00
01
10
11
10
00
01
00
00
01
10
01
10
11
00
11
01
00
10
00
10
01
01
11
01
11
11
10
10
00
01
10
11
00
00
10
10
01
00
00
10
10
10
10
00
00
10
10
00
10
11
01
01
10
00
00
10
00
10
10
01
00
11
10
10
10
10
11
00
00
11
00
01
00
00
10
10
10
10
00
11
11
00
00
00
10
00
00
10
11
00
11
00
01
01
11
11
10
00
01
00
10
00
01
11
00
00
00
11
00
00
10
11
01
01
00
00
10
01
11
01
10
10
00
00
10
11
10
00
01
01
10
10
00
01
11
10
01
10
01
10
11
00
00
01
11
10
10
11
00
10
00
00
10
11
00
10
01
01
00
00
00
11
10
00
11
10
00
00
00
10
10
00
00
01
01
11
00
00
10
01
01
00
10
10
11
00
00
10
00
00
10
10
10
00
00
10
10
10
10
10
10
00
00
10
11
10
10
10
10
10
10
00
00
10
11
00
11
10
10
10
01
10
10
01
00
11
11
10
10
00
00
10
00
01
10
00
11
01
10
00
00
00
01
10
11
10
10
00
11
10
11
00
10
11
10
00
00
01
10
10
11
00
00
00
10
10
00
00
01
00
10
10
11
10
10
01
00
10
11
01
10
10
00
01
01
11
11
00
00
10
00
01
00
10
01
00
00
10
00
00
01
10
10
11
10
01
10
11
11
01
10
00
00
00
01
11
10
00
00
10
01
01
00
10
11
00
01
10
11
10
11
01
11
10
01
11
10
11
00
00
00
11
10
00
11
00
11
00
11
11
00
01
10
10
00
01
01
10
00
00
11
10
00
00
10
10
00
00
10
00
01
11
01
10
10
10
11
10
00
01
10
11
10
01
10
10
00
00
00
11
10
10
01
10
00
00
10
10
11
01
10
11
00
00
00
00
11
11
10
10
11
10
10
11
00
00
10
01
10
00
01
10
11
00
00
01
01
01
10
10
00
11
10
10
00
00
10
10
10
01
00
10
01
00
10
10
00
10
11
01
11
01
01
10
11
11
11
01
00
10
00
00
00
11
10
01
10
10
00
10
11
00
00
11
00
00
10
11
10
00
00
00
01
10
00
10
11
10
00
10
01
10
11
00
10
11
00
10
11
00
01
10
10
01
00
00
01
11
11
00
00
00
10
01
11
10
00
11
00
00
11
00
01
10
11
00
10
10
00
00
10
11
00
01
10
10
01
00
11
11
00
00
10
11
11
00
01
10
10
00
00
00
00
11
11
01
01
00
11
11
10
00
10
10
00
11
11
01
01
01
00
10
10
11
00
10
10
01
00
01
10
00
11
00
01
10
00
11
11
10
10
00
01
01
11
11
00
11
01
10
10
00
01
10
10
00
01
00
10
10
10
00
01
01
01
11
10
01
10
01
01
10
11
01
11
10
01
01
10
10
00
10
10
01
00
00
10
00
01
11
10
10
01
10
00
10
10
01
00
10
10
01
01
01
10
00
01
10
00
00
10
11
00
01
01
10
10
00
01
00
11
00
10
11
11
00
10
10
10
00
10
10
00
00
10
00
11
00
10
01
00
10
00
00
10
01
00
10
00
10
10
00
00
11
10
01
00
10
10
00
10
00
10
10
00
10
11
00
01
10
11
10
00
00
00
00
10
00
00
10
10
10
01
00
00
11
00
00
11
10
00
11
11
00
10
10
00
10
00
10
10
00
00
10
10
10
00
10
11
00
10
11
00
10
01
01
10
00
11
11
01
11
01
00
00
11
00
00
10
10
00
00
10
11
01
10
11
00
01
00
11
10
00
00
11
01
00
10
10
00
11
00
00
11
11
01
01
10
01
10
11
00
11
10
01
10
10
01
10
01
01
10
10
01
00
10
10
00
00
11
11
00
00
00
10
10
10
00
11
01
00
00
00
00
00
10
10
00
10
10
11
00
00
00
10
00
00
00
11
01
00
00
11
11
00
10
10
00
00
10
11
11
00
10
10
00
11
00
00
11
00
00
01
00
01
11
10
00
00
11
10
10
00
01
10
00
00
10
10
10
10
00
01
10
10
00
00
00
00
11
11
11
00
01
00
00
00
10
10
00
00
10
00
00
00
00
01
10
11
11
10
01
01
01
00
10
10
11
10
00
01
00
10
10
10
00
10
10
00
10
10
00
00
11
00
00
10
10
01
01
01
10
00
11
00
10
01
10
10
01
11
10
10
11
00
00
10
00
11
10
11
01
00
00
01
11
10
10
00
11
01
00
10
01
00
00
10
10
00
11
00
00
00
10
00
10
10
01
00
00
00
10
10
00
11
00
11
11
01
10
01
01
01
00
10
10
01
01
00
01
01
00
11
10
10
00
00
10
10
00
01
00
00
10
00
00
01
00
10
00
01
11
01
10
00
00
10
10
11
00
00
11
10
11
10
00
01
00
00
00
00
10
10
10
00
10
11
11
00
10
11
00
10
10
01
00
10
00
10
00
00
01
10
00
00
10
01
10
00
00
10
00
01
11
10
11
00
01
10
00
01
11
10
01
00
10
01
01
10
01
10
00
00
10
11
00
00
10
00
00
00
10
00
00
01
10
11
00
10
10
01
00
00
11
10
11
10
00
11
00
10
01
00
11
10
00
10
00
10
10
00
00
00
11
11
10
11
00
00
00
10
11
00
00
10
10
00
00
00
01
00
01
10
10
10
10
10
10
10
00
11
11
10
00
10
01
10
01
10
11
00
11
11
11
00
00
01
11
00
01
10
11
11
00
10
10
10
10
00
00
10
01
11
10
00
10
00
00
00
00
10
11
01
10
11
10
10
00
01
10
11
11
00
11
10
00
00
10
11
10
11
00
00
00
01
00
11
10
01
10
00
00
11
00
10
00
01
10
10
10
00
11
10
10
01
10
10
10
01
10
11
10
10
10
01
10
11
00
00
01
00
11
11
01
01
00
00
01
10
10
01
01
10
01
01
10
10
10
00
01
10
10
00
01
10
11
11
00
00
00
10
00
00
00
10
00
11
10
01
01
00
10
10
00
10
00
00
10
11
00
10
01
10
10
01
10
11
11
11
01
00
00
00
00
10
00
00
11
11
11
10
00
00
00
10
11
10
01
00
00
01
00
11
10
00
10
01
00
11
01
00
10
10
11
11
01
10
10
00
01
00
00
00
10
11
01
10
00
00
00
10
00
00
10
01
10
01
01
10
10
01
10
01
00
10
10
10
01
00
10
01
00
00
10
10
00
11
10
10
11
10
11
10
01
00
10
10
10
01
01
01
10
10
10
11
00
01
10
10
00
00
00
00
00
10
10
10
01
10
11
01
00
01
11
01
11
11
00
01
10
00
10
11
00
00
00
10
00
10
00
10
11
01
00
10
11
10
10
00
01
01
10
11
00
01
00
00
01
10
00
01
10
11
11
00
11
11
00
00
10
10
01
01
10
11
01
11
00
00
10
01
10
10
00
10
01
00
01
00
00
00
10
00
01
11
10
00
01
10
01
10
10
00
10
00
10
10
00
10
10
10
00
10
11
10
00
00
10
10
00
01
01
01
00
00
00
01
01
11
01
00
11
01
10
10
00
01
10
10
10
01
00
01
11
10
10
01
10
10
11
01
01
01
00
11
11
00
10
10
01
00
00
00
00
01
00
00
10
11
01
10
11
00
11
11
11
00
00
01
10
11
10
01
00
00
00
10
11
00
10
11
10
00
01
00
11
10
01
00
11
00
00
11
01
10
11
10
00
00
10
10
11
01
00
00
10
00
11
01
00
00
11
01
00
00
11
10
10
10
00
10
00
01
10
00
01
10
01
10
10
10
00
00
10
11
00
10
10
00
10
10
00
10
10
00
00
11
10
00
00
10
00
11
10
00
00
00
00
00
00
11
01
10
10
11
01
00
10
10
11
00
10
10
10
00
11
01
01
01
10
00
01
10
10
01
00
11
00
00
11
10
10
00
10
10
10
00
01
01
00
11
00
01
00
00
10
11
10
00
01
10
10
00
10
10
10
10
00
01
00
10
10
11
10
00
10
01
10
10
10
11
01
11
01
01
01
01
00
10
10
10
10
00
00
00
01
10
01
00
00
10
01
00
11
10
10
00
00
10
00
10
01
01
00
00
10
00
11
10
10
01
00
10
00
00
10
10
00
00
10
01
11
10
11
10
10
01
00
10
10
10
00
00
10
00
10
10
00
01
01
11
10
10
00
10
11
01
10
10
11
00
11
00
00
11
10
00
00
11
10
11
01
00
11
00
00
00
10
10
11
00
10
00
11
00
11
10
10
00
10
11
00
00
10
10
00
11
10
00
11
11
01
10
11
00
10
10
11
01
01
11
00
11
10
10
11
10
01
01
01
10
00
10
10
00
10
10
00
00
10
10
10
00
11
10
01
01
11
01
10
00
01
11
10
10
01
00
11
00
00
11
11
00
00
10
10
10
01
01
10
10
00
00
00
11
01
01
00
00
10
10
11
10
10
01
00
11
00
11
00
11
00
00
01
01
10
00
01
10
00
01
11
01
10
10
10
10
10
10
00
01
01
01
11
11
01
10
11
00
11
10
00
00
11
00
00
10
11
10
00
01
00
11
11
11
11
10
01
00
01
00
00
10
10
10
01
00
10
10
00
10
11
10
00
01
10
10
00
00
11
01
10
00
00
10
10
11
10
01
11
01
01
00
11
10
01
00
11
11
10
00
00
00
01
01
10
01
00
10
11
10
10
00
00
10
00
00
00
11
10
10
00
11
00
01
01
10
11
00
11
10
00
01
01
10
10
00
10
11
10
00
00
01
11
01
00
10
00
11
10
10
00
00
00
11
01
10
01
01
10
01
10
10
10
00
00
11
11
00
00
01
00
11
00
00
00
11
01
10
10
01
10
00
10
10
01
00
10
00
10
11
00
00
00
00
11
00
00
10
01
00
00
00
00
10
11
11
10
01
01
00
00
00
10
11
00
00
10
00
00
10
00
01
10
10
00
10
01
00
01
00
10
01
11
10
01
10
11
00
00
11
10
10
01
01
00
00
10
01
10
10
11
01
00
00
00
10
00
01
11
00
10
11
00
01
00
10
10
10
01
11
00
01
11
10
10
00
01
00
11
11
01
10
10
10
00
01
00
10
11
01
10
00
10
11
00
00
10
11
00
11
11
00
00
00
01
01
10
11
01
00
11
00
00
10
10
01
10
11
11
01
00
00
01
10
01
00
10
10
01
10
11
10
00
00
10
10
10
11
00
01
10
01
10
00
00
10
00
00
01
10
10
00
11
00
00
11
10
01
00
10
10
00
10
01
00
10
00
10
01
00
01
11
01
00
10
10
00
10
10
01
00
00
00
00
00
10
10
00
10
11
11
00
00
10
11
00
10
01
01
11
11
10
10
11
11
10
11
01
01
00
01
10
11
01
01
00
10
01
01
01
10
10
10
10
10
10
01
00
11
11
10
00
10
10
10
10
00
00
10
10
10
00
10
00
10
01
00
00
10
10
11
10
00
10
10
01
10
00
00
00
10
00
11
10
10
00
00
00
10
10
00
00
01
00
11
01
00
10
11
10
00
00
11
00
00
10
10
01
01
00
11
00
11
10
00
10
10
01
01
00
10
00
01
10
00
10
10
00
11
10
00
00
00
00
01
11
10
10
01
00
10
00
00
00
11
10
11
00
00
11
10
10
11
10
00
00
01
10
10
00
11
11
00
10
10
01
11
11
10
01
00
11
00
00
11
10
11
01
00
10
00
00
11
01
00
10
11
00
10
00
00
10
11
10
00
01
00
00
00
11
01
11
10
00
01
00
10
00
00
10
10
00
10
01
10
00
11
00
10
10
01
00
10
10
00
01
00
00
01
11
10
00
10
11
00
00
10
10
00
01
00
01
11
10
10
10
00
10
00
10
01
00
10
10
11
00
00
10
01
11
11
11
00
00
00
01
00
00
10
11
00
01
11
10
00
10
10
00
10
10
00
00
10
11
01
11
11
00
11
10
01
11
01
00
10
00
00
10
10
10
00
10
10
00
10
00
00
00
10
01
10
01
10
00
01
00
10
11
11
00
01
10
11
11
01
00
00
10
10
00
00
10
10
11
00
01
10
00
11
10
10
00
00
10
11
00
11
00
01
10
00
11
10
00
10
11
00
01
11
10
00
11
10
01
00
11
00
00
11
10
00
00
10
10
00
11
11
11
01
11
10
10
10
10
00
01
11
10
00
00
00
10
01
00
11
11
01
10
01
00
10
10
00
00
10
01
01
10
10
00
10
10
00
00
10
11
00
11
00
10
00
01
10
10
10
00
10
10
10
10
11
00
11
11
00
10
11
11
11
00
01
10
11
00
01
01
00
11
10
00
00
00
10
10
10
11
10
00
10
01
00
10
01
10
01
01
10
00
01
00
10
10
10
00
11
00
00
01
01
11
10
11
00
00
10
00
01
00
11
11
11
11
10
10
01
01
10
01
01
11
11
10
11
10
01
00
01
00
10
00
00
10
10
10
00
00
10
10
11
01
10
10
00
00
00
00
01
01
10
10
10
10
10
01
01
10
10
00
00
10
01
00
10
10
00
10
10
10
00
01
10
01
10
00
10
00
10
10
10
00
00
00
01
10
00
10
10
10
11
01
11
10
01
00
00
00
10
01
00
11
10
10
01
10
00
00
11
11
00
11
10
10
00
10
10
00
10
11
00
00
10
11
11
00
01
00
01
01
00
11
11
00
00
10
11
00
00
10
00
00
01
10
01
10
00
11
00
01
10
11
10
01
11
00
11
11
00
10
01
01
10
00
00
00
10
10
10
10
10
11
10
10
00
01
00
00
11
10
01
00
00
00
00
10
10
10
10
10
10
10
10
10
10
10
01
10
11
01
00
10
00
00
10
11
01
00
00
10
00
01
10
01
11
10
10
11
00
11
00
01
10
00
00
10
10
01
10
00
10
10
00
01
11
00
11
10
01
00
00
00
11
11
10
11
01
10
01
11
10
11
11
01
00
00
01
11
10
11
11
01
11
00
00
10
11
11
01
10
10
10
01
10
01
00
11
10
00
01
10
11
00
11
10
10
01
00
00
11
10
10
10
00
01
10
01
00
10
00
00
11
11
10
01
00
10
00
01
11
10
00
10
10
00
01
10
11
00
00
00
01
00
10
00
00
01
10
10
00
01
11
01
00
00
00
10
10
10
10
01
10
01
00
10
10
00
10
11
00
01
10
10
00
00
10
01
10
00
01
11
11
11
00
00
10
00
00
00
11
11
00
00
10
01
10
10
10
01
00
01
00
10
11
01
10
00
00
10
10
10
11
00
01
10
01
00
00
10
10
10
10
01
00
01
11
00
00
10
10
01
11
11
10
01
01
10
00
11
10
01
00
10
00
00
10
00
00
10
10
00
00
01
00
00
10
00
11
00
10
10
00
01
01
01
00
11
00
01
01
10
10
11
00
00
00
10
00
00
10
00
00
00
10
11
00
01
10
00
00
10
11
10
01
01
00
11
00
11
11
01
00
00
11
10
00
01
01
10
11
00
10
00
00
10
00
00
10
10
11
00
11
10
00
10
11
01
10
00
01
00
00
00
00
10
11
10
00
00
10
10
11
00
00
10
10
01
00
11
00
10
10
10
11
00
00
10
00
10
11
00
10
00
10
01
00
00
01
00
10
10
10
11
10
11
00
00
10
10
00
10
00
10
00
10
10
11
10
10
10
00
01
01
00
11
10
00
10
01
00
10
00
10
10
00
00
00
11
10
01
10
10
10
00
00
10
00
00
00
00
10
10
10
01
10
00
01
10
10
00
10
10
10
10
00
10
11
00
11
01
01
10
10
10
10
01
00
00
10
01
00
00
01
10
00
00
10
10
10
11
00
00
00
11
11
00
00
00
11
01
00
10
10
00
11
10
10
10
01
10
01
01
11
00
01
11
00
11
00
01
01
10
10
10
00
01
00
00
10
10
00
10
10
01
10
11
10
11
00
01
00
00
00
10
01
00
00
11
00
10
11
01
10
00
00
00
11
10
11
01
11
00
11
11
00
10
00
01
10
00
01
10
10
10
10
01
11
10
01
10
11
01
01
10
10
00
00
00
11
01
01
10
10
10
10
10
10
10
00
00
11
10
00
00
01
10
01
01
01
00
11
10
11
00
00
11
00
01
10
00
01
10
11
10
10
00
00
00
00
00
10
01
00
01
00
00
10
10
10
10
00
00
00
10
10
10
00
00
10
10
10
11
10
00
01
10
10
10
10
10
10
00
01
11
10
10
00
00
10
01
10
01
00
10
00
00
00
11
00
10
00
10
10
10
00
10
10
01
00
01
00
00
10
10
00
00
11
10
01
00
11
00
11
10
10
10
00
10
01
10
10
00
01
10
11
11
10
01
01
10
00
11
01
00
01
10
00
10
01
10
10
10
01
00
10
10
10
10
11
10
01
01
01
10
10
10
11
10
00
10
00
10
11
01
00
11
11
10
01
00
10
11
01
00
10
10
01
00
10
01
00
10
10
10
00
00
10
00
01
10
11
01
01
11
10
01
11
01
01
11
00
00
10
00
11
10
01
00
10
10
10
10
10
10
01
00
01
00
11
10
00
10
10
11
00
11
01
00
11
10
00
01
00
10
10
01
00
00
10
11
10
01
11
00
01
10
00
00
01
10
10
01
01
11
11
10
01
00
11
00
00
10
10
00
10
10
01
10
00
00
01
00
00
01
10
10
10
00
00
00
10
00
01
10
10
00
10
00
10
00
01
10
11
00
10
00
11
01
00
01
10
10
11
10
00
10
10
01
10
11
11
10
00
01
10
01
11
11
00
00
00
10
01
11
00
00
00
10
11
10
10
00
00
00
01
01
01
10
10
00
10
00
00
10
11
10
00
00
00
10
10
01
10
00
00
10
10
01
10
01
01
11
11
01
11
00
11
00
00
10
00
01
10
11
00
11
00
10
10
01
00
10
11
00
01
11
01
10
00
10
10
10
11
01
10
00
00
11
01
00
01
00
11
11
10
01
10
10
01
10
01
00
01
10
00
01
11
01
01
00
11
00
10
10
00
11
00
10
10
10
01
10
11
00
10
10
00
01
01
00
11
01
00
10
10
11
01
00
00
10
10
10
00
00
10
01
11
11
01
11
00
01
11
10
11
00
00
00
00
10
00
01
11
00
01
10
00
10
11
00
11
00
01
10
00
10
01
11
10
10
01
01
10
10
10
00
00
00
00
01
10
10
00
01
11
10
01
11
10
01
00
00
11
01
10
00
10
10
10
00
01
10
00
10
00
10
01
00
10
01
00
00
10
00
11
01
01
00
00
10
00
00
00
01
10
10
11
10
11
10
01
10
10
11
00
10
10
10
10
01
10
10
10
10
10
00
00
00
10
10
10
00
10
01
00
00
00
11
10
01
00
11
01
10
10
01
11
00
00
11
01
10
01
00
10
01
11
11
01
00
10
00
00
00
10
01
01
00
00
11
10
01
00
00
01
10
00
10
10
00
01
00
10
11
10
01
10
00
00
00
10
00
00
11
10
01
11
10
01
01
10
01
10
00
10
10
00
01
11
10
01
00
10
11
10
10
00
10
10
00
01
10
10
00
10
11
10
10
11
00
00
00
11
11
01
00
00
01
00
00
10
00
00
00
11
10
00
00
00
11
11
01
10
00
00
10
10
10
10
00
10
10
00
10
01
00
01
11
11
10
00
11
00
00
10
10
10
00
00
01
00
10
11
01
00
10
10
01
00
00
01
01
10
00
00
11
10
01
11
11
00
00
10
00
10
10
01
10
10
00
10
00
01
00
10
10
01
01
01
11
10
11
10
00
10
00
00
10
11
00
10
10
10
10
01
10
11
00
01
00
11
10
11
10
01
11
10
01
00
11
01
11
10
00
10
10
00
00
11
10
00
01
10
01
00
11
01
11
10
10
10
01
01
00
10
10
00
10
00
00
01
00
00
11
01
00
10
01
10
01
11
11
01
01
00
10
10
01
11
11
00
01
10
00
10
10
10
01
01
10
10
00
10
10
00
00
10
00
00
10
10
00
00
10
11
01
10
01
01
00
10
11
10
10
00
10
10
00
00
01
01
11
10
11
00
01
10
11
10
11
10
00
10
10
00
10
10
10
10
00
00
11
10
10
11
00
00
00
10
00
11
10
11
01
01
11
10
00
00
01
11
00
00
01
00
10
00
10
10
11
01
00
00
01
11
01
11
10
01
00
11
00
00
01
10
11
00
00
10
10
00
10
00
01
00
00
01
10
01
00
10
11
00
10
11
11
00
01
00
01
10
10
01
00
10
10
10
10
01
10
00
10
01
00
10
01
00
00
10
10
10
10
00
00
00
00
00
00
10
10
10
00
10
10
00
10
00
10
11
00
11
10
11
00
00
01
01
11
11
00
11
01
01
01
11
10
11
00
10
00
00
10
10
10
00
11
01
10
10
10
10
10
01
11
01
00
10
10
01
00
10
00
00
00
00
00
11
10
10
10
00
00
00
00
01
11
10
00
00
00
10
00
10
10
01
01
00
01
11
00
00
00
10
10
01
01
00
10
00
01
01
01
10
00
00
11
01
10
00
10
10
00
00
00
10
10
10
01
10
10
01
10
11
10
10
00
10
11
00
00
10
00
00
10
01
00
11
10
00
11
01
10
00
10
10
11
00
01
10
11
00
00
10
00
10
00
10
00
10
10
01
11
10
10
01
00
00
00
00
00
10
00
10
10
01
00
01
00
00
00
00
10
11
00
00
11
10
01
00
01
10
10
11
11
00
00
11
11
01
10
01
11
10
10
01
11
00
10
10
00
10
11
01
10
11
11
01
10
10
00
00
01
11
11
10
00
01
11
10
10
00
00
11
01
00
10
11
11
11
10
00
11
00
10
00
01
10
11
00
11
01
01
00
10
01
00
01
10
01
00
11
00
11
00
00
10
00
11
11
10
00
10
01
11
10
11
00
00
00
10
00
11
10
01
01
10
00
10
00
10
11
00
01
11
11
00
00
11
01
00
10
11
00
00
00
10
10
10
01
01
11
01
10
01
00
10
11
10
10
00
11
10
10
10
01
00
00
10
10
11
10
10
01
00
01
00
11
01
01
10
10
11
01
01
10
11
00
00
10
11
00
01
00
10
10
10
10
00
01
11
11
01
11
10
11
00
10
10
11
01
00
10
00
00
11
00
11
00
00
10
01
01
10
10
01
11
11
01
00
10
00
10
10
00
00
10
10
00
00
10
10
11
10
10
01
10
11
00
00
10
11
00
00
10
11
11
11
01
00
01
10
10
00
10
11
00
00
10
00
10
00
01
01
01
01
11
10
10
10
00
00
10
10
01
10
11
00
10
10
10
10
00
00
00
01
11
11
00
10
11
10
11
00
10
11
00
10
01
10
11
11
10
00
10
00
01
11
11
11
10
11
10
00
00
10
10
00
00
00
00
11
10
10
10
11
10
01
00
10
10
01
00
11
01
01
01
10
00
00
10
11
00
00
01
10
00
00
10
10
11
11
10
00
00
00
00
00
01
10
11
00
01
00
00
10
00
10
10
10
00
01
10
00
00
00
10
10
00
10
00
01
01
10
11
00
00
10
01
10
11
00
00
10
10
11
00
00
00
11
10
00
01
11
01
10
10
10
10
00
11
10
01
00
10
00
00
11
00
00
10
10
10
01
11
01
01
11
01
00
00
10
11
00
00
10
11
00
10
01
10
01
11
10
01
00
10
10
10
10
00
00
00
11
10
11
10
00
01
00
10
00
10
10
01
10
01
10
01
01
10
00
00
01
00
11
11
00
01
01
00
01
10
10
10
01
00
01
00
11
10
00
10
10
10
00
00
10
11
00
11
00
10
01
00
10
11
11
00
11
10
00
00
10
10
11
00
00
00
10
00
00
00
11
11
10
01
00
10
00
00
10
01
01
11
00
00
01
10
00
01
10
11
00
10
10
10
10
00
11
10
00
01
10
11
01
00
10
00
00
10
10
00
00
10
11
11
00
00
10
11
10
10
10
10
01
11
10
01
00
10
11
11
01
00
10
10
00
00
10
10
00
00
10
10
10
10
01
10
01
00
00
01
11
10
11
00
01
00
00
00
00
11
10
10
11
11
10
10
01
00
10
00
00
00
00
11
00
10
00
00
10
11
00
00
11
10
10
10
00
00
11
00
11
10
00
00
00
01
11
10
01
00
11
10
00
00
10
10
01
00
00
10
10
01
11
00
00
00
01
10
10
10
00
10
00
10
10
00
00
01
10
11
10
10
10
11
11
10
11
00
00
01
00
01
10
10
10
10
01
10
00
01
11
11
00
01
00
11
10
00
11
11
10
10
00
00
10
10
10
10
10
01
11
10
01
01
00
01
00
00
01
01
10
10
11
11
01
00
10
11
10
10
00
00
01
10
10
10
01
01
11
01
11
00
00
11
11
00
00
10
00
01
10
00
00
10
10
01
11
10
11
00
01
01
00
01
10
10
01
10
10
10
00
00
10
01
00
10
10
11
11
00
00
10
11
00
11
10
00
00
01
11
00
00
11
00
10
01
00
00
01
10
00
00
11
10
10
00
00
10
11
10
00
01
10
00
00
00
00
01
10
10
11
10
10
00
01
00
10
11
00
10
00
11
10
01
10
10
01
01
11
01
10
11
10
00
00
11
10
01
00
10
10
10
00
00
00
10
00
10
10
11
00
01
10
11
01
10
00
10
00
00
00
10
11
11
10
00
00
11
10
00
00
00
11
00
01
10
01
01
00
01
11
01
11
11
00
00
00
10
00
10
10
00
00
11
00
00
11
11
10
11
10
00
00
01
10
11
00
10
00
01
10
01
00
10
10
10
00
10
10
01
01
00
10
11
01
00
11
00
00
00
10
00
10
11
10
11
01
00
10
00
10
01
01
11
10
01
10
11
10
10
00
01
00
10
01
00
00
01
10
00
10
10
00
10
10
00
11
10
11
01
00
00
00
10
10
11
00
00
10
11
10
01
10
00
01
00
00
10
10
01
01
01
10
00
10
01
00
10
00
00
11
10
01
10
00
00
11
01
10
01
00
11
00
10
01
00
10
00
10
00
10
11
00
10
10
10
11
10
10
00
11
11
01
01
00
00
11
11
00
10
11
00
10
10
00
00
10
10
10
10
10
10
01
01
01
01
10
11
11
10
00
10
11
00
11
00
10
10
00
11
01
01
10
01
00
00
10
00
10
11
11
00
01
10
00
10
00
10
10
10
01
00
10
00
11
11
11
00
00
11
01
00
10
10
00
01
10
10
11
00
00
11
00
00
00
10
00
10
11
00
00
10
00
10
10
11
01
00
10
01
10
10
10
10
00
01
10
11
01
11
00
11
11
01
00
10
00
00
11
10
10
00
10
10
11
10
00
10
10
10
10
00
10
01
10
10
11
10
10
10
00
01
00
10
11
00
10
00
00
01
00
01
10
10
11
00
00
10
10
00
10
01
00
10
11
00
00
10
11
10
00
00
10
01
11
01
11
10
11
11
11
01
10
01
00
10
10
11
10
00
01
11
00
11
10
10
00
00
00
10
10
00
01
00
01
10
00
10
10
10
10
00
00
00
10
11
01
10
10
10
10
00
01
00
10
10
10
00
01
00
10
00
01
10
11
11
01
10
11
01
10
11
01
01
10
10
10
11
11
01
00
10
11
10
10
10
00
00
00
10
10
10
11
00
10
01
10
11
00
00
00
11
01
10
10
00
00
10
00
10
11
10
00
10
11
01
10
11
00
00
00
00
00
00
00
10
10
01
10
00
00
10
11
01
01
00
10
00
10
01
00
10
11
11
10
00
00
11
00
01
10
11
11
00
00
00
01
00
01
10
00
10
10
11
10
10
01
01
11
11
01
00
10
10
00
11
10
01
01
11
10
01
00
10
10
01
00
10
10
01
00
00
01
10
11
00
11
10
00
00
11
10
01
01
00
10
00
10
11
11
00
00
00
00
11
10
10
00
00
10
00
01
10
10
00
00
00
10
01
11
10
01
00
00
00
11
10
00
00
10
11
10
00
10
10
01
01
00
00
00
11
11
10
00
11
10
11
00
01
10
10
00
11
10
00
01
10
00
01
00
01
10
11
00
10
10
00
00
11
01
00
10
11
10
11
00
11
01
01
10
10
00
01
10
11
10
00
00
11
00
00
00
11
00
00
00
11
10
00
01
10
00
11
00
01
10
00
10
01
11
11
01
01
00
11
00
10
10
00
00
00
00
10
11
01
10
01
01
00
00
10
11
10
10
00
00
10
10
01
10
11
10
10
00
10
00
10
10
00
10
00
01
10
00
10
10
01
01
10
00
01
10
10
01
01
10
10
00
10
10
00
11
00
00
11
01
01
10
00
00
10
00
00
00
10
00
01
00
11
10
10
00
11
11
11
01
00
11
10
01
10
11
01
00
01
10
00
01
01
10
11
00
01
10
11
00
00
10
11
10
00
10
10
00
00
00
10
00
00
00
00
11
00
01
00
10
00
00
10
00
10
11
10
00
01
11
10
10
10
11
11
10
01
01
00
10
10
11
00
00
11
00
00
00
01
11
00
00
01
10
00
01
11
00
00
10
10
01
00
01
00
01
10
10
00
10
10
00
11
10
01
10
00
00
10
00
11
11
01
10
10
11
00
10
11
00
01
11
00
00
00
10
11
10
01
00
10
01
00
00
10
00
10
10
01
10
00
00
00
10
10
01
01
10
11
11
00
10
00
10
11
11
00
10
11
01
01
01
10
11
01
00
10
01
00
00
11
11
00
01
11
10
00
00
11
10
00
00
11
00
11
00
10
00
00
10
10
11
00
01
10
11
00
00
10
01
10
11
10
01
00
10
11
00
01
00
00
11
10
00
10
10
10
10
10
11
10
00
11
00
01
00
01
00
00
11
00
00
10
00
00
10
11
11
10
00
10
01
00
11
10
11
11
00
10
00
10
00
10
10
10
10
10
00
00
00
01
01
00
10
11
01
11
11
00
10
10
10
01
10
11
00
01
00
11
10
11
11
00
10
11
00
00
10
10
10
11
01
10
00
00
11
10
00
00
10
10
11
10
00
01
01
10
10
10
11
00
00
00
10
11
01
11
00
01
00
00
00
10
10
00
00
10
10
00
01
11
10
00
00
00
00
10
10
00
00
00
00
10
00
10
10
10
01
00
01
01
11
00
01
01
10
10
00
00
10
11
00
11
11
10
00
10
00
01
00
00
10
00
00
00
10
00
00
10
00
00
00
00
01
10
11
01
11
01
10
10
00
10
11
10
00
00
10
10
00
10
00
10
01
01
01
10
10
10
10
11
00
10
01
10
10
00
00
00
10
10
10
00
10
10
00
11
10
11
11
11
00
00
00
00
00
10
00
11
00
00
10
11
11
10
10
00
11
11
00
10
00
10
00
00
10
10
11
01
01
10
00
00
00
01
01
10
11
00
10
10
00
00
00
10
10
10
10
00
10
00
10
10
10
10
00
01
00
01
11
11
00
11
01
00
11
10
11
00
01
00
10
00
00
10
11
01
00
10
00
01
11
00
10
00
00
10
10
10
01
00
00
11
10
10
00
10
10
00
10
00
10
11
00
10
11
00
01
11
10
10
00
01
00
11
11
01
10
10
01
01
10
10
01
10
10
00
11
01
11
10
11
10
00
10
10
10
00
10
00
10
10
00
10
10
00
00
01
00
00
01
10
10
11
11
00
01
10
10
00
00
00
01
01
11
10
01
11
10
00
00
10
10
11
00
00
11
11
01
10
11
00
00
10
10
01
00
11
00
10
10
01
00
11
10
00
01
10
11
00
00
10
10
00
10
01
01
00
00
10
11
00
10
10
00
00
00
00
01
00
01
00
00
10
01
01
01
00
11
10
00
00
10
01
00
00
11
10
00
10
00
10
10
00
00
00
11
10
00
01
10
11
10
11
10
00
11
00
00
10
01
01
00
01
10
11
00
00
11
10
10
10
00
00
00
11
11
10
01
00
11
11
00
00
11
10
01
00
00
10
10
01
00
10
11
00
00
10
11
00
01
11
01
10
01
00
00
10
10
00
10
01
00
00
00
11
01
10
10
10
00
00
10
10
10
10
10
11
00
00
10
10
00
10
10
10
10
11
01
00
00
11
00
00
11
00
01
00
11
00
10
10
01
10
10
10
00
10
01
10
10
10
10
11
00
00
01
10
01
10
10
01
11
10
11
10
01
01
11
11
11
10
01
00
10
00
10
10
10
11
00
10
01
10
00
00
10
10
10
00
00
11
10
10
01
10
11
11
00
00
10
11
10
00
01
11
00
00
01
10
10
00
10
10
10
11
00
00
10
10
10
00
00
00
11
10
00
10
10
01
01
10
11
10
11
01
10
00
01
10
11
00
10
11
10
01
00
01
10
10
10
11
00
10
10
01
00
11
01
01
10
10
00
00
00
10
01
10
10
00
00
10
10
10
11
11
00
01
00
10
00
11
01
00
00
01
11
00
10
10
11
00
00
10
00
11
10
11
01
00
00
10
11
10
10
00
01
10
00
10
10
11
11
10
01
01
10
10
10
01
10
11
00
01
11
10
10
00
11
10
10
00
01
01
01
10
11
10
00
00
10
10
00
01
11
01
00
00
00
01
10
01
10
11
00
01
00
11
01
00
00
01
10
11
10
00
11
10
00
10
10
00
10
10
10
00
10
11
01
01
00
11
00
01
00
10
01
00
10
00
11
10
10
11
11
10
00
11
00
11
11
00
00
11
10
00
10
10
01
11
11
10
10
00
11
00
11
10
00
00
11
01
00
01
10
00
11
01
01
00
00
10
10
10
00
01
10
00
00
10
00
11
10
01
10
00
00
11
00
10
10
10
10
11
11
00
00
10
10
00
01
10
10
10
01
11
01
11
00
00
10
10
00
01
01
10
01
01
10
00
10
11
10
11
01
00
11
10
00
00
01
11
00
10
10
10
00
10
01
00
10
10
00
00
00
00
11
10
11
00
10
10
00
10
00
00
10
10
00
00
11
10
01
10
01
10
10
00
00
01
00
00
11
10
01
00
10
11
10
01
00
00
10
10
00
11
10
01
00
00
01
01
10
01
00
11
11
10
00
10
10
01
00
10
10
00
00
00
11
10
10
01
01
10
10
01
00
11
10
10
10
10
10
00
01
11
10
00
01
00
10
10
00
11
10
00
00
10
10
10
00
01
00
11
11
00
00
00
00
00
10
10
10
00
00
10
00
00
10
10
00
10
00
00
10
00
10
10
10
10
01
10
01
01
01
10
00
00
10
01
11
11
11
01
00
01
10
10
10
01
01
11
10
00
11
00
10
01
11
10
01
00
10
11
11
10
01
10
00
11
01
00
11
10
01
10
00
01
11
10
01
11
10
10
00
01
10
00
00
00
10
10
00
01
00
00
00
10
11
00
01
10
01
01
00
01
10
00
00
10
10
10
10
00
00
00
11
10
10
11
00
00
00
11
10
10
00
01
11
10
10
00
10
10
10
00
00
11
11
01
00
11
00
01
00
10
11
10
10
10
00
01
11
10
00
10
00
01
00
10
10
00
00
00
10
00
10
00
01
00
11
10
01
10
00
11
00
10
10
11
00
00
00
10
11
00
01
00
00
10
01
01
10
10
00
01
10
01
00
11
11
00
10
10
10
01
00
11
10
00
01
10
01
11
00
10
10
10
00
00
10
00
10
01
00
10
10
10
01
00
10
10
10
11
00
00
00
11
01
00
11
11
01
01
11
10
10
00
00
01
11
10
00
10
10
10
10
00
10
01
00
00
10
10
00
10
10
00
00
10
11
10
10
00
01
10
00
00
10
11
00
10
00
10
10
10
11
00
01
00
01
00
00
00
10
10
01
11
10
11
00
00
10
10
00
00
10
11
00
10
11
11
10
11
00
00
11
10
01
00
01
11
11
00
10
00
01
00
10
11
00
00
10
00
10
01
01
10
11
00
10
10
11
00
00
11
10
11
00
00
00
00
10
00
10
00
00
11
10
11
00
00
10
00
10
11
10
00
00
11
00
10
10
00
00
10
10
10
00
11
11
01
01
00
10
10
10
00
01
11
11
01
00
01
10
11
01
10
11
00
00
10
10
01
00
10
00
10
00
01
01
11
10
00
10
10
00
00
11
10
11
10
00
10
00
00
01
00
11
10
11
01
11
00
10
00
11
11
00
00
10
00
10
10
10
00
10
10
01
11
10
00
10
00
11
00
00
10
10
00
00
00
11
00
00
10
00
00
00
00
10
10
11
00
01
00
00
10
11
11
10
11
00
11
11
11
00
00
10
10
11
00
10
10
11
11
01
01
11
00
10
00
01
11
00
00
11
00
10
10
00
01
00
11
01
00
00
00
10
10
10
10
10
11
01
11
10
10
10
00
11
00
10
01
00
00
01
00
00
10
11
01
01
00
11
00
00
01
11
01
01
01
10
10
10
00
00
01
10
10
00
01
01
10
11
00
00
00
00
11
00
00
11
00
10
01
10
00
00
01
11
10
11
00
00
11
00
10
01
10
10
00
00
00
10
00
10
11
01
01
00
10
11
10
01
00
00
10
11
00
11
00
00
10
11
01
00
01
10
10
00
11
10
10
11
00
10
11
00
00
00
10
01
10
11
00
10
00
11
11
01
10
00
00
00
10
10
01
00
10
10
00
10
11
00
01
11
00
10
00
00
01
10
10
10
10
10
00
00
10
10
01
10
11
01
00
11
00
00
10
11
00
00
00
10
11
10
00
00
10
00
00
00
10
00
00
01
00
01
00
11
00
00
01
11
00
11
01
00
10
10
00
01
01
11
11
10
10
01
10
11
00
10
10
10
10
01
10
00
10
01
01
10
00
11
10
00
10
00
01
00
10
11
11
11
00
00
11
10
10
01
00
11
10
10
00
01
01
01
01
10
11
10
00
01
10
01
00
10
10
00
00
10
10
01
10
00
00
11
10
00
11
10
00
00
10
01
11
10
00
10
10
10
01
00
11
11
10
00
10
10
00
00
10
00
00
10
00
10
10
00
10
00
00
11
10
10
10
00
01
10
01
11
11
01
00
00
10
10
10
11
00
11
10
01
10
10
11
00
00
10
00
00
10
01
01
11
01
00
10
00
10
10
00
00
10
11
00
00
00
10
01
00
00
11
01
10
00
11
00
01
11
10
11
10
00
00
10
00
10
11
00
10
10
01
10
01
10
10
10
00
11
10
00
01
10
10
10
00
00
10
11
11
11
10
10
00
11
00
00
00
10
00
00
11
00
00
10
10
00
10
11
10
11
00
10
00
00
00
10
11
01
11
11
10
10
00
00
00
10
11
00
00
10
11
10
10
00
01
00
00
00
11
01
11
10
11
10
11
00
00
10
10
00
00
11
10
00
00
10
00
00
00
01
10
11
11
11
00
00
01
00
01
11
10
00
01
01
10
10
00
10
01
00
11
10
00
01
00
01
10
10
00
00
01
11
00
00
00
01
00
10
10
10
01
00
00
10
00
00
00
10
10
01
10
11
11
10
01
00
11
11
10
00
11
01
11
00
01
11
00
11
00
01
10
00
01
10
11
00
01
10
11
11
10
00
00
10
10
00
00
10
11
00
10
01
00
10
10
00
00
01
10
10
10
10
10
00
00
00
11
10
01
00
10
00
00
00
10
10
00
10
11
00
11
10
00
01
11
00
00
10
11
10
11
00
00
10
11
01
10
01
10
11
01
10
00
11
00
00
10
00
01
00
11
10
00
11
10
10
10
01
10
11
00
00
11
00
01
10
00
10
10
00
11
00
00
10
10
10
00
10
11
00
00
10
10
00
11
00
00
10
01
00
00
00
00
01
10
10
11
10
01
00
10
00
01
10
10
01
00
10
00
00
10
11
00
01
01
11
00
10
00
01
10
11
10
10
00
00
00
00
00
10
00
00
10
00
10
10
00
00
10
00
00
01
00
11
10
10
10
00
00
01
00
10
11
00
00
00
01
11
01
01
00
01
10
10
01
00
10
10
00
00
10
00
01
10
10
00
11
00
10
10
01
11
00
01
00
01
10
00
01
00
00
11
11
00
01
11
00
01
10
00
11
10
11
10
10
00
10
10
00
00
10
01
00
11
10
00
00
10
11
00
10
10
11
11
11
00
00
11
10
01
01
01
10
10
00
11
10
00
00
00
00
10
10
00
10
00
01
00
11
00
11
10
10
10
00
10
10
10
00
10
10
00
00
10
11
11
10
10
10
00
00
00
00
11
00
01
11
00
01
00
11
11
00
00
00
10
10
10
00
10
00
10
00
10
00
10
11
01
11
00
11
10
00
10
11
01
00
00
00
10
00
00
00
11
00
10
01
01
11
00
10
10
10
00
01
11
00
00
00
00
10
00
10
10
01
01
10
00
10
00
01
11
00
00
00
10
00
00
10
10
00
00
00
10
00
11
00
00
10
00
00
11
00
10
11
10
10
00
10
11
00
10
00
11
00
01
01
00
10
10
01
01
00
10
01
10
01
01
11
11
10
00
00
10
01
10
11
01
00
11
10
10
11
00
10
11
01
00
10
11
00
11
10
01
11
10
00
11
11
01
00
11
10
01
00
10
00
00
10
10
10
00
11
00
10
11
00
00
10
00
00
00
10
11
10
00
00
00
01
11
10
00
11
11
11
10
01
10
00
10
00
00
10
10
01
10
00
00
10
01
00
00
00
10
00
10
11
01
00
10
00
00
01
10
10
01
10
10
11
01
01
00
01
10
11
11
00
00
10
10
01
00
10
00
00
10
10
01
00
11
10
11
10
10
00
10
01
00
11
01
00
01
01
10
10
10
00
01
01
11
10
01
00
10
00
00
10
11
11
01
10
10
10
10
10
10
10
00
00
00
00
00
01
10
10
10
10
11
11
00
10
10
01
10
01
10
10
10
00
11
00
01
00
11
11
00
00
10
10
01
10
11
01
11
10
00
10
00
10
11
00
00
00
00
11
00
10
10
00
00
00
01
10
10
00
10
10
01
11
00
10
10
11
10
00
10
01
00
01
00
11
00
10
10
00
00
10
00
01
01
00
00
10
00
00
01
10
10
10
00
10
10
01
01
10
11
00
10
00
00
10
01
01
11
00
01
11
00
10
00
00
11
10
01
00
00
00
01
00
10
10
01
00
11
10
00
10
10
11
01
01
11
10
11
10
00
00
10
00
00
00
10
10
00
00
10
01
10
00
10
11
00
10
00
10
01
10
11
00
00
11
10
01
01
00
10
10
00
11
00
01
01
11
11
00
11
11
00
00
10
10
01
00
00
10
10
00
10
10
10
00
10
10
00
11
01
01
11
10
00
00
01
00
11
10
11
10
00
00
00
11
10
10
00
01
00
10
11
10
00
11
10
00
00
10
00
01
11
11
11
10
00
00
10
10
00
01
10
10
01
11
00
10
00
11
11
00
11
10
01
10
10
11
00
01
11
10
00
00
10
10
00
00
01
11
01
00
10
11
10
10
00
00
11
11
00
00
00
11
11
10
10
11
11
10
00
00
10
10
10
01
01
11
11
01
10
10
00
01
00
00
10
10
00
10
10
11
10
10
10
00
10
10
01
00
00
01
11
11
10
01
10
00
00
00
11
10
11
00
10
10
00
10
01
10
10
00
10
01
01
10
01
00
01
10
11
10
11
10
01
11
10
10
00
01
11
01
00
00
11
10
01
10
10
00
10
10
00
11
11
10
10
00
00
00
10
10
10
11
00
01
00
10
00
00
00
00
10
10
00
11
10
10
00
00
00
01
01
10
11
01
10
01
10
00
01
00
10
10
00
01
00
11
10
01
11
10
01
10
10
00
10
01
10
11
01
00
11
11
11
10
01
11
10
00
00
10
11
01
00
01
10
10
10
10
01
00
01
11
10
01
10
10
11
10
00
00
11
10
00
10
10
00
00
11
11
00
10
00
01
00
10
00
11
10
10
10
00
10
01
11
11
00
00
10
00
00
10
11
01
10
11
00
10
10
00
00
10
10
00
11
00
10
10
11
01
11
01
01
10
10
00
10
10
00
00
10
10
00
00
11
11
10
00
01
00
00
10
10
00
10
11
00
11
10
11
01
00
10
01
01
11
10
11
01
00
00
00
00
01
11
10
10
11
00
00
10
10
10
10
10
00
01
10
11
00
01
00
10
00
00
01
10
10
10
01
10
10
10
10
01
00
10
00
10
10
11
10
00
10
01
11
10
11
01
10
11
11
10
10
10
00
00
00
00
10
10
00
00
10
10
10
01
10
01
01
00
11
10
10
10
11
01
00
11
10
00
01
10
11
01
01
10
00
10
00
00
10
00
00
10
11
10
10
11
10
01
10
10
00
01
11
00
01
10
10
00
11
00
01
10
11
10
11
01
00
10
10
10
10
11
01
01
01
00
11
10
00
00
11
10
00
01
10
10
00
00
00
10
10
00
10
11
10
11
01
01
10
10
00
00
01
10
10
01
10
10
10
10
10
01
01
10
10
00
01
10
00
01
10
00
00
00
00
10
10
00
00
10
10
00
10
00
01
01
10
11
00
01
11
11
00
00
11
00
10
00
00
10
01
01
10
11
00
00
10
10
00
00
01
11
00
11
01
01
00
10
11
10
11
01
00
10
01
00
11
11
10
00
10
00
00
00
01
00
10
10
10
10
10
00
00
10
11
00
00
01
10
00
11
01
10
01
00
00
10
10
00
00
10
10
00
10
11
10
10
01
00
10
01
01
00
00
10
10
00
00
00
11
10
00
01
00
11
01
11
00
01
00
00
00
11
10
11
00
00
00
10
10
01
10
10
01
01
11
10
00
11
10
00
01
00
10
10
10
01
10
01
00
01
00
01
10
10
11
11
00
01
10
00
10
00
00
00
11
10
11
00
01
10
11
11
00
11
00
01
11
11
01
11
11
00
10
10
11
00
10
10
00
00
00
00
01
01
00
10
10
00
10
11
00
11
10
01
00
00
10
11
01
11
00
00
00
10
00
01
00
10
00
11
00
01
10
00
10
10
01
10
10
00
00
00
00
10
10
00
10
11
10
00
00
10
11
10
11
11
00
10
01
01
00
00
10
10
00
00
01
01
00
11
10
10
10
10
00
00
10
10
00
00
00
11
10
00
00
00
10
11
01
01
10
10
10
01
10
00
11
10
01
00
00
11
10
01
00
00
00
00
00
11
10
10
10
10
10
00
01
10
00
10
10
01
01
10
01
11
01
11
00
00
00
01
11
11
11
01
01
00
00
11
10
00
01
10
00
01
10
11
10
10
11
11
00
00
00
11
11
10
00
00
10
00
00
11
00
00
10
10
10
11
11
00
11
10
00
10
11
00
10
00
00
10
00
10
10
10
10
10
00
01
11
11
01
01
11
01
01
10
00
01
10
11
11
01
01
10
11
10
10
01
00
10
10
10
01
11
11
00
10
00
11
10
00
00
10
01
10
11
00
10
10
10
00
00
10
10
00
11
11
10
11
11
00
10
10
00
10
00
00
11
00
10
10
01
01
01
10
10
00
10
00
00
10
00
11
10
00
10
01
11
10
00
00
00
01
11
01
10
00
00
10
00
01
10
10
11
11
01
01
10
10
10
00
00
01
10
10
11
10
01
11
01
11
00
11
01
00
10
10
11
01
00
10
00
00
00
10
10
01
00
00
10
10
01
10
00
11
00
11
00
00
10
00
00
10
10
11
01
00
00
00
11
10
10
00
00
00
10
01
01
10
10
10
10
01
10
00
10
11
00
00
01
11
10
00
01
00
01
10
10
00
00
11
01
11
10
10
01
00
10
11
10
00
01
11
10
10
11
10
00
10
10
11
01
00
01
11
10
00
10
11
10
01
00
01
10
00
01
00
10
10
00
01
10
00
00
10
11
10
11
00
01
10
10
00
00
00
11
10
10
01
00
00
10
01
01
00
01
10
01
00
01
11
00
01
11
11
01
01
10
01
10
11
00
00
01
10
00
10
10
01
10
10
11
01
00
10
01
01
10
01
10
10
10
10
00
11
10
01
11
00
00
01
11
10
10
01
10
00
10
10
00
00
00
10
10
00
00
00
11
10
00
10
10
00
11
10
01
00
10
11
10
11
00
00
11
00
01
10
10
00
11
10
01
01
10
11
10
01
10
10
00
10
11
10
10
00
01
00
11
00
11
10
10
01
00
10
10
10
00
01
10
10
10
10
11
10
11
00
00
10
11
01
10
01
10
00
01
10
00
00
11
10
01
01
10
10
01
00
11
00
00
00
10
11
00
10
10
00
00
01
10
11
11
00
10
00
10
00
00
10
00
01
01
10
00
10
10
00
10
11
00
00
00
01
11
10
10
01
10
01
00
10
00
10
00
00
11
00
01
00
10
00
01
00
01
00
11
10
00
01
01
01
10
11
01
10
10
01
11
00
00
10
10
00
01
10
00
11
00
00
10
10
10
00
01
10
10
00
10
10
00
10
00
00
11
10
11
10
00
01
00
00
11
00
00
10
10
10
00
10
10
10
10
10
01
00
01
10
11
10
11
00
10
11
01
11
01
11
10
01
11
00
00
10
11
10
01
00
01
10
10
01
01
01
10
10
10
00
01
00
11
10
01
00
01
11
10
01
00
10
00
10
10
00
10
11
00
10
01
00
00
10
00
10
11
11
01
11
00
10
11
00
01
10
01
10
00
01
10
10
00
01
10
00
01
11
00
10
10
11
11
00
01
10
01
00
11
00
11
10
01
00
10
00
00
01
10
01
00
10
10
10
10
10
00
00
11
10
00
10
10
10
10
10
00
00
00
00
00
11
10
10
00
10
00
11
10
00
00
00
10
10
00
00
01
11
11
11
10
01
11
11
10
00
00
10
00
00
01
11
00
01
10
00
00
00
01
10
01
01
00
00
00
10
11
10
00
10
10
10
11
10
01
00
10
11
10
10
10
00
01
00
01
10
00
10
01
10
10
01
00
11
11
00
00
11
11
00
01
10
10
11
10
10
10
00
11
00
11
10
10
01
11
00
01
01
10
00
00
10
00
00
01
10
01
10
00
00
00
10
11
01
10
00
11
00
01
10
00
10
11
00
01
00
11
11
00
00
10
10
10
01
01
00
00
10
10
00
00
00
11
10
01
00
00
00
00
11
10
00
10
11
00
10
01
00
11
11
00
01
00
10
11
00
00
00
10
11
10
11
01
11
10
00
01
00
01
11
10
00
10
10
00
01
11
00
00
00
00
10
10
11
00
10
00
11
10
11
00
10
10
10
00
00
10
01
00
10
00
00
00
10
10
10
01
10
11
10
00
11
10
10
00
00
11
10
00
01
01
11
00
00
01
11
00
00
10
10
00
00
10
11
00
01
00
10
10
00
10
11
00
00
10
10
11
00
00
01
11
11
00
01
10
11
00
11
01
10
10
00
01
10
10
00
01
10
10
00
00
01
10
11
10
00
10
00
01
11
10
10
10
01
00
10
11
10
10
11
00
00
11
01
11
01
00
10
10
00
01
10
11
00
01
01
11
11
00
00
10
00
00
10
10
01
00
11
00
11
00
00
00
00
01
01
11
11
10
00
10
11
00
00
00
10
11
00
01
11
11
00
00
00
00
00
11
10
00
01
10
10
01
10
11
11
01
01
00
11
00
01
10
00
10
10
10
01
00
10
00
11
01
10
11
00
00
10
01
10
10
11
01
11
00
00
10
00
10
00
00
10
00
10
10
10
00
01
10
00
01
11
01
00
10
11
11
10
10
00
10
00
00
00
10
10
10
11
11
10
10
01
00
01
01
10
01
00
10
00
00
11
11
00
00
10
10
10
10
11
00
11
10
10
00
10
10
10
11
10
10
01
10
11
00
10
00
11
00
00
00
11
10
00
10
01
11
00
10
00
01
01
10
11
00
10
00
00
10
10
01
00
00
00
11
10
11
00
01
11
10
10
10
00
10
01
00
10
00
00
00
11
00
01
10
11
10
01
00
01
00
01
01
10
10
11
10
11
11
00
10
10
00
11
10
01
00
01
10
11
10
10
00
00
01
10
00
01
01
10
11
00
10
11
10
10
01
00
11
10
00
10
00
11
10
11
00
10
11
10
00
11
11
01
01
10
11
11
11
10
10
00
01
01
10
11
00
00
00
01
10
00
00
10
10
11
10
00
01
10
10
11
11
00
11
10
01
11
01
10
11
11
10
01
01
00
10
00
00
10
10
00
01
10
11
10
11
11
00
00
00
10
10
10
00
00
01
11
11
01
01
10
00
00
11
10
00
10
11
01
10
00
00
10
11
10
00
10
01
11
00
11
10
00
00
10
00
00
01
10
01
10
10
00
00
01
00
01
11
01
10
10
10
11
00
00
00
00
11
11
11
10
01
10
11
00
11
11
11
11
00
10
10
01
00
10
11
00
10
10
10
01
00
00
00
10
10
10
10
10
10
00
01
01
01
11
01
01
10
00
00
00
10
11
00
00
10
10
00
10
00
00
11
10
01
10
10
00
10
01
01
11
10
10
00
11
10
00
00
10
11
00
00
01
00
00
01
00
00
10
01
11
11
00
11
00
01
01
11
10
00
00
10
01
00
10
00
01
10
10
00
01
01
11
10
10
10
00
00
00
00
01
10
00
00
11
11
10
00
10
01
00
00
00
11
00
10
10
01
10
10
01
11
00
01
01
11
01
00
01
01
00
01
10
10
00
10
00
11
00
10
11
10
10
10
11
00
11
11
11
01
11
00
01
00
10
10
01
00
10
11
00
01
11
10
00
00
10
00
01
10
10
00
00
11
01
10
00
01
11
10
10
11
00
00
11
00
00
10
10
11
00
00
01
11
11
00
00
11
00
10
11
00
01
11
10
10
10
00
00
00
10
00
01
10
10
00
00
11
00
10
10
10
00
11
10
00
00
01
10
10
00
00
10
11
10
01
00
10
10
00
00
00
00
10
01
00
10
10
00
00
00
10
00
11
10
10
00
00
01
10
10
01
11
01
01
11
11
10
00
00
01
11
01
11
10
00
10
00
00
00
11
10
01
00
00
11
10
00
00
01
11
11
10
00
00
01
01
11
10
00
11
10
01
00
10
10
10
10
01
10
10
10
11
00
01
11
01
10
10
11
01
00
10
00
00
10
11
10
00
01
10
10
10
00
01
00
00
11
10
01
10
00
10
11
01
10
00
00
11
00
10
10
00
11
00
00
00
10
10
10
00
00
10
10
01
00
10
00
00
00
01
00
00
00
11
10
10
11
10
10
10
00
00
01
10
11
01
11
10
01
10
01
00
10
00
01
11
01
11
11
10
10
11
01
00
11
10
11
00
11
00
11
11
01
10
11
10
00
10
10
10
00
00
10
10
00
00
10
00
10
00
10
01
00
00
11
10
10
10
00
01
00
11
11
00
10
01
01
10
00
11
10
00
00
00
00
10
10
01
00
10
01
10
10
10
01
00
10
01
11
10
01
01
00
10
10
00
00
10
10
00
00
01
10
11
10
00
10
11
00
10
00
00
00
01
01
11
11
10
00
00
10
10
11
00
10
01
00
10
10
00
01
00
10
00
00
10
10
00
00
00
01
01
10
11
00
00
01
00
10
00
10
00
11
10
00
00
00
11
11
11
10
10
00
10
10
00
00
01
00
10
00
00
11
00
01
10
00
10
10
11
00
00
11
01
00
11
00
01
10
10
01
10
01
01
11
10
01
00
00
01
10
10
00
10
10
00
00
00
11
10
00
10
10
00
10
00
11
10
00
00
10
00
10
11
00
11
10
10
01
11
10
01
11
10
00
00
11
00
00
11
11
01
11
00
00
00
10
11
10
00
00
10
10
10
00
00
10
00
10
00
10
00
11
10
00
10
00
10
10
10
00
01
10
11
10
00
00
10
01
10
00
11
10
11
10
00
00
00
00
11
00
00
00
00
11
00
00
10
11
01
10
00
01
01
11
00
01
10
10
10
00
10
10
10
00
10
11
10
11
10
00
01
00
01
01
10
10
11
11
00
00
10
10
10
00
11
10
00
00
10
10
10
00
00
11
00
00
01
01
10
10
01
00
00
10
10
01
01
10
11
11
00
10
11
11
00
00
10
00
10
01
01
00
11
00
11
11
00
00
00
10
10
00
01
10
10
00
11
10
10
01
10
11
00
11
00
01
10
11
01
00
10
11
01
01
10
00
10
00
00
10
00
01
10
10
00
10
11
11
10
00
01
10
10
01
00
10
10
00
01
00
11
11
11
11
00
11
00
01
10
10
01
01
10
10
10
00
10
10
11
01
10
11
00
10
10
10
00
00
10
10
00
00
00
10
10
00
10
01
00
10
00
00
10
10
11
11
10
00
00
10
10
10
00
01
00
10
00
00
11
11
11
00
11
10
01
10
00
00
01
00
01
00
10
10
10
11
00
01
10
10
01
11
10
10
00
00
00
00
10
00
10
00
10
10
10
10
11
10
00
11
00
11
00
10
10
10
10
00
00
10
00
01
10
11
00
00
10
11
00
01
11
10
11
01
00
11
00
01
11
11
01
10
10
00
01
10
10
01
01
11
01
00
01
00
10
10
11
00
01
00
11
10
00
11
01
10
11
00
00
10
00
01
10
00
10
00
00
11
00
00
00
01
10
01
10
10
10
11
10
10
10
01
00
01
01
01
10
10
10
00
00
11
10
00
11
10
10
10
00
00
11
11
01
00
10
11
00
00
10
10
01
00
10
00
01
00
11
10
10
01
10
11
00
11
00
00
10
10
11
00
11
11
10
01
10
10
00
00
01
10
11
00
00
10
10
00
10
10
00
01
00
01
11
10
00
10
00
00
00
11
10
00
00
00
00
11
10
01
11
00
10
01
10
11
01
10
01
10
00
01
10
00
01
10
10
00
00
10
01
00
01
01
11
00
00
10
10
10
01
00
10
10
11
00
00
01
11
01
11
11
00
01
10
11
00
00
11
10
10
00
01
10
10
00
00
00
00
11
10
10
10
00
01
10
10
11
11
00
10
00
00
00
10
00
10
00
00
11
00
00
00
01
01
11
01
01
10
00
11
00
00
10
10
01
11
11
11
00
00
10
10
01
00
11
10
00
00
11
10
00
00
10
01
00
01
01
00
01
01
10
01
10
10
00
00
10
10
00
00
11
10
01
00
00
00
00
10
10
00
00
00
10
00
10
11
00
10
00
00
10
00
11
00
01
10
10
10
01
11
00
10
11
11
00
10
00
11
11
00
00
11
10
00
00
11
10
11
01
01
01
10
00
11
10
00
10
00
00
10
11
10
10
11
01
10
01
00
10
10
00
00
10
10
01
01
10
10
10
01
01
01
10
11
00
01
10
10
00
01
01
10
00
00
00
10
00
10
11
01
01
11
10
01
00
10
01
10
10
01
00
10
11
00
10
10
00
01
01
10
01
10
00
10
10
00
00
00
10
10
00
00
01
00
10
00
00
00
00
11
10
10
10
01
00
10
11
01
10
10
11
00
10
11
01
10
00
01
10
00
00
10
10
00
00
00
11
10
10
00
10
10
11
10
10
10
01
00
00
00
10
01
00
11
00
01
01
01
11
11
10
11
10
01
00
10
10
10
10
00
00
11
11
01
11
10
10
11
01
10
00
11
11
00
01
11
00
00
10
10
00
10
11
01
00
10
10
10
10
00
10
10
00
00
10
01
11
10
00
01
10
10
01
00
10
01
01
10
11
00
01
01
00
10
10
11
00
01
10
00
11
00
11
10
00
00
01
11
10
10
01
00
00
01
10
00
10
11
00
00
10
00
01
00
00
10
01
10
11
00
00
00
10
01
10
10
00
10
00
00
00
01
10
10
11
10
11
10
01
00
00
00
10
10
00
11
11
00
10
00
10
00
00
11
00
00
01
11
11
00
10
11
10
11
00
10
11
00
10
11
10
01
00
00
00
00
10
01
00
11
00
11
10
00
00
10
10
00
01
00
10
10
00
10
00
10
10
11
00
01
11
00
01
10
10
01
00
10
00
00
10
10
00
00
00
10
10
00
10
01
00
10
10
10
00
10
01
00
10
01
00
10
00
10
10
00
11
00
11
10
11
11
00
10
00
10
10
00
00
00
10
00
01
10
00
10
11
10
10
10
00
11
10
10
01
00
10
01
00
10
01
00
00
01
00
10
10
00
01
00
10
10
10
00
10
00
10
10
11
00
10
10
00
01
01
10
11
01
11
11
00
00
10
11
01
00
10
10
01
10
11
00
10
10
01
00
10
00
01
01
11
00
01
01
10
01
11
10
00
11
10
01
10
10
11
00
11
00
11
11
11
01
01
10
00
00
10
00
10
11
10
11
00
00
10
00
11
01
01
00
11
10
00
01
10
10
00
00
10
00
00
10
01
10
10
00
10
01
00
00
11
00
11
10
10
11
01
00
11
10
00
01
11
00
10
10
11
11
00
00
01
00
11
00
10
10
00
11
00
00
10
00
00
00
10
10
10
11
00
00
01
00
11
11
01
00
00
00
10
10
00
10
01
00
11
00
00
11
00
00
01
11
10
00
01
10
10
11
00
10
10
10
10
11
00
11
10
10
00
01
10
11
00
00
01
10
11
01
10
01
10
01
01
00
10
10
10
01
11
11
00
00
10
11
00
00
10
11
00
00
00
10
10
01
00
11
00
00
00
10
10
00
10
10
10
10
01
00
10
00
10
11
00
01
00
00
01
00
01
10
01
00
11
10
10
00
11
01
00
10
00
00
10
10
00
00
10
00
10
10
10
11
10
00
11
00
01
11
10
01
00
00
11
00
11
11
00
00
10
01
11
00
10
10
01
01
10
10
01
11
00
10
10
00
00
10
11
10
10
10
00
10
00
01
01
00
01
00
00
10
01
01
00
10
00
10
00
10
11
10
00
11
01
00
10
00
10
10
00
01
10
10
00
01
10
10
01
11
11
10
11
01
10
10
00
01
10
10
01
00
11
01
11
10
10
10
10
11
10
01
00
10
10
10
00
00
01
11
11
10
00
00
00
10
00
10
10
10
10
10
01
10
11
10
00
01
10
10
10
10
00
00
01
00
01
00
00
10
10
00
10
11
00
01
00
10
10
01
10
00
00
10
00
00
10
11
01
01
00
10
10
10
00
01
11
01
10
10
10
11
00
11
00
00
10
10
00
00
00
10
01
10
00
01
10
10
11
10
10
10
10
00
10
10
00
00
00
01
10
10
00
00
10
10
10
10
01
11
10
01
00
01
00
00
10
11
00
00
11
11
01
10
10
11
00
01
01
01
10
01
10
11
01
00
01
01
01
11
00
10
11
01
10
11
00
00
00
01
00
11
00
10
10
10
00
00
11
10
01
00
10
10
00
01
11
00
00
00
00
01
10
11
10
10
01
10
10
01
10
10
10
00
10
00
00
10
00
00
00
11
10
00
01
00
00
00
10
11
10
10
10
11
10
11
00
10
10
10
01
00
00
01
11
10
00
11
10
01
10
11
10
00
11
00
10
00
10
10
00
01
11
11
00
00
01
10
10
01
10
10
11
00
00
00
11
11
10
01
01
10
10
00
11
11
11
00
00
00
11
10
01
01
11
11
10
10
11
00
00
10
10
00
01
10
01
00
10
11
10
01
01
00
00
01
10
10
10
00
11
11
00
00
01
10
00
10
10
10
00
00
00
11
10
00
10
01
01
10
10
10
01
10
00
01
11
10
00
00
00
10
11
00
01
00
00
00
10
01
01
00
10
11
00
00
11
11
00
10
10
10
10
10
00
00
10
10
11
01
11
10
01
11
11
01
10
11
00
00
10
10
00
10
10
00
00
10
11
11
10
01
01
10
11
01
00
00
00
10
11
10
10
00
01
00
11
10
10
10
01
11
11
10
00
00
01
10
11
00
11
11
00
00
00
01
10
10
00
10
10
00
10
11
10
10
00
00
10
10
10
01
11
00
11
10
00
00
00
10
00
11
10
10
01
00
10
11
00
01
10
11
11
11
00
00
01
10
11
01
10
11
11
00
00
11
10
01
10
00
00
11
10
10
10
00
00
10
00
00
10
10
10
01
10
10
10
00
00
11
11
10
01
00
11
10
01
10
00
00
11
10
11
00
01
11
11
01
10
00
11
10
01
01
00
10
11
10
11
01
00
10
11
10
00
00
11
10
11
00
10
11
00
10
00
00
11
00
10
10
00
00
00
00
10
10
00
11
00
00
11
11
10
10
01
01
00
10
10
00
00
00
10
11
01
00
10
01
10
10
00
00
00
10
01
01
10
10
11
01
00
00
01
10
10
01
00
11
10
10
00
01
00
10
11
00
11
00
10
10
11
11
01
01
11
01
10
01
00
10
00
00
10
10
00
00
11
11
01
10
10
10
00
00
00
11
11
00
11
11
10
00
00
00
10
00
00
10
10
01
10
00
00
10
11
00
11
10
11
00
00
00
00
01
11
01
01
00
01
00
10
00
10
11
01
11
10
10
00
00
00
01
10
10
00
00
10
10
00
01
00
00
00
00
10
00
10
10
00
00
00
00
10
11
01
11
00
01
10
01
11
10
11
00
10
10
00
00
11
01
01
10
10
00
10
00
01
10
10
00
10
00
01
11
11
10
10
00
01
01
00
00
10
01
10
11
01
10
00
10
01
01
10
11
10
00
01
10
11
11
10
01
10
00
00
10
01
01
10
11
00
11
10
10
00
01
00
10
10
11
10
01
11
11
01
01
10
00
01
10
11
00
00
10
00
00
00
10
10
00
00
10
00
11
10
10
00
00
10
10
00
00
10
10
00
00
11
10
00
00
00
10
00
00
00
10
00
10
10
11
10
10
10
10
10
00
10
11
11
00
01
10
10
10
11
10
00
11
11
10
01
00
10
00
00
11
00
10
10
00
01
00
10
10
01
01
11
01
01
00
10
00
10
00
01
10
10
00
10
00
11
00
00
01
10
00
00
00
10
10
01
01
01
00
10
00
00
00
10
00
10
10
00
10
00
01
00
00
00
01
00
01
01
01
10
10
10
10
00
11
00
10
01
00
01
10
01
01
00
11
11
00
00
01
10
10
10
01
01
00
11
10
01
00
10
10
00
10
10
01
00
00
00
10
01
00
11
10
01
11
11
01
00
10
10
00
01
01
11
10
00
11
01
10
10
11
00
11
11
00
01
00
10
10
00
00
10
10
00
10
11
11
01
10
00
01
10
10
10
11
10
00
11
01
01
10
10
10
01
00
10
10
00
00
11
10
00
10
11
01
10
00
00
10
00
10
01
10
01
00
11
00
01
10
10
00
00
00
00
00
11
10
10
11
01
11
11
11
11
11
10
01
00
10
11
10
00
00
10
10
01
10
00
01
00
01
00
10
10
00
01
11
11
01
11
10
10
01
00
11
10
11
00
01
10
10
00
00
10
10
11
01
10
01
00
10
00
11
00
01
00
10
00
10
11
00
01
01
10
11
10
10
10
01
00
11
11
01
00
10
11
10
10
00
00
10
00
01
11
01
11
00
10
00
10
10
00
10
10
10
01
01
11
00
01
00
10
10
01
10
10
01
00
10
01
10
11
00
10
10
00
00
10
00
10
11
00
00
01
11
00
10
00
01
00
10
10
00
00
01
00
10
00
10
01
00
10
10
00
00
00
10
00
10
00
00
11
00
11
01
01
11
10
00
00
00
11
10
00
01
00
10
00
10
10
11
00
00
10
11
00
01
11
11
01
10
10
00
00
10
00
01
10
01
00
10
01
10
10
11
10
00
00
11
00
00
10
11
11
01
00
11
10
00
00
10
00
00
00
10
11
01
00
00
00
10
10
10
00
10
10
10
00
00
00
10
10
01
00
10
10
01
01
01
11
00
00
10
01
11
11
01
01
00
00
00
10
10
10
00
00
11
11
10
01
10
00
11
11
01
11
00
00
11
10
01
10
00
01
11
10
11
00
01
10
01
00
00
10
10
00
00
00
11
01
00
11
11
10
10
10
10
10
10
01
00
00
11
10
10
10
11
10
10
01
00
01
01
01
01
11
10
00
01
10
01
11
10
00
10
10
11
10
01
00
10
00
00
10
10
01
01
00
11
00
11
11
11
00
01
11
00
10
11
11
00
10
00
00
10
00
10
11
11
00
01
10
00
11
00
00
11
01
00
00
10
10
01
00
11
10
11
10
10
00
00
10
10
00
00
10
11
00
10
11
11
10
11
01
10
00
10
01
10
00
00
10
01
11
10
00
10
00
10
01
00
10
10
01
00
10
00
00
00
10
11
00
01
00
01
00
01
11
10
01
11
10
01
10
00
01
10
11
01
01
11
11
00
10
10
00
01
10
10
10
01
11
11
00
10
10
00
00
00
00
10
00
00
01
10
10
11
00
00
00
00
10
00
00
00
11
00
00
11
10
00
01
00
10
01
10
10
10
10
00
10
10
00
00
11
10
00
00
10
11
10
10
01
01
10
00
00
10
10
01
00
11
00
10
00
10
10
10
11
00
10
00
00
00
10
11
00
10
00
01
00
10
10
00
01
01
00
00
10
01
10
10
00
00
00
10
10
01
00
10
11
11
00
10
10
10
11
10
11
00
01
11
10
11
00
00
00
01
10
11
11
00
01
00
01
10
11
10
00
10
10
01
01
01
00
10
10
00
10
10
01
11
00
00
00
01
11
01
01
11
00
01
10
00
00
10
10
10
00
10
10
00
10
00
00
11
00
10
10
11
10
00
10
11
00
00
10
11
00
01
01
00
00
00
10
10
01
10
00
11
10
10
11
00
10
00
01
01
10
10
00
01
00
10
11
00
10
00
11
11
10
10
01
10
11
01
10
10
11
01
00
01
10
10
00
01
01
00
11
10
00
10
10
00
00
11
10
00
00
10
11
10
10
00
00
11
01
00
10
00
01
11
01
00
10
11
00
10
00
10
00
01
00
10
10
01
00
01
10
00
01
00
10
11
11
00
00
10
10
11
00
01
10
11
01
11
01
00
00
11
00
10
00
00
10
00
01
10
11
00
00
01
00
00
01
10
10
11
10
00
10
01
00
10
01
00
10
10
10
10
10
00
00
00
10
01
11
00
01
00
11
11
11
10
01
01
00
10
10
00
01
10
10
00
00
10
00
01
10
11
00
00
11
10
11
00
00
11
10
01
10
10
10
00
00
10
00
00
10
00
01
00
10
10
00
11
10
10
01
01
10
00
01
00
01
00
10
11
00
00
10
01
10
00
01
00
10
11
00
00
10
00
00
10
01
01
01
00
11
01
10
01
00
10
11
11
01
00
10
11
00
00
11
11
00
11
10
11
01
10
11
00
00
00
11
00
10
10
00
10
01
00
00
10
11
00
10
11
01
00
11
01
10
00
11
00
11
01
10
10
10
01
10
01
00
10
11
00
10
10
01
01
10
10
01
00
10
00
00
01
10
00
00
01
10
10
11
11
01
00
11
10
01
00
10
11
10
00
01
01
10
10
01
01
10
01
00
11
01
00
11
00
00
11
10
00
01
00
11
10
01
00
01
10
11
10
00
00
11
00
00
11
11
11
10
11
01
01
01
10
01
10
01
00
10
00
00
10
00
00
10
10
00
11
01
11
00
11
01
00
10
01
11
10
00
01
10
10
00
10
00
10
00
01
11
00
11
10
11
00
01
00
11
11
10
01
00
11
11
10
00
10
10
00
10
10
00
00
10
00
01
01
10
00
10
10
10
00
10
01
01
10
00
00
10
00
11
00
10
11
00
10
00
00
00
01
00
11
10
11
10
00
10
10
01
00
01
10
11
00
10
00
00
00
10
10
00
00
00
10
01
00
10
10
11
10
01
01
00
10
10
00
00
10
10
00
11
10
00
10
10
10
00
10
10
11
01
01
01
10
00
00
10
00
00
01
10
10
01
00
00
01
00
10
01
00
10
10
00
00
10
10
10
10
10
10
01
10
10
10
10
01
00
11
00
01
11
11
11
11
11
10
10
01
10
11
00
00
10
10
11
01
10
10
01
00
01
10
10
00
00
01
00
10
10
00
10
10
00
01
10
01
00
10
11
00
10
11
10
01
00
00
00
10
00
01
00
10
00
01
00
10
11
01
00
11
11
10
10
10
00
11
01
00
00
11
01
10
10
11
10
01
00
10
01
00
10
00
10
00
11
00
10
00
00
11
10
10
11
10
01
00
01
00
00
11
10
11
00
00
10
00
10
11
00
10
11
01
01
00
10
00
10
01
00
00
10
10
11
10
10
01
00
00
10
10
10
00
00
10
00
10
10
00
11
00
01
10
01
00
00
11
10
00
10
00
00
00
10
11
00
00
11
11
11
11
00
10
11
01
00
11
10
01
00
10
10
00
01
10
10
00
00
10
10
10
10
00
10
10
11
10
01
11
01
00
10
00
11
10
00
10
01
01
10
01
10
00
01
00
11
10
00
11
00
01
10
10
01
10
11
01
10
00
00
10
10
00
00
00
00
01
11
01
10
10
11
00
10
00
00
10
10
11
10
10
10
10
10
01
01
11
00
00
10
01
01
10
11
00
00
10
00
01
10
00
10
10
00
10
10
00
11
01
10
10
01
00
10
10
10
00
10
11
00
00
00
11
01
00
00
11
11
00
00
01
00
00
10
00
00
00
10
00
00
11
00
10
00
10
01
00
11
00
11
00
10
00
01
00
11
00
01
01
11
10
01
11
11
10
11
01
00
11
11
01
00
10
11
01
11
10
00
10
00
11
00
00
10
00
10
00
11
11
10
00
00
01
11
00
10
11
00
10
00
01
01
10
10
10
00
00
00
10
10
11
00
01
01
00
11
00
11
10
01
00
11
10
11
00
10
01
01
01
10
00
00
10
10
10
00
00
00
10
10
00
10
11
00
11
00
00
11
00
00
10
11
00
00
10
01
01
11
10
01
00
10
00
10
11
01
00
11
01
10
11
10
00
11
10
00
10
01
00
10
11
11
01
01
01
01
10
11
00
01
00
10
10
01
00
11
10
01
01
00
10
00
10
10
00
11
10
00
10
00
11
10
10
01
10
10
00
00
00
01
11
00
11
00
11
11
00
00
10
10
01
11
01
00
11
00
01
10
11
11
00
00
10
01
01
00
00
00
01
10
00
00
11
11
00
10
11
11
00
10
11
00
00
00
10
10
10
00
00
00
00
10
01
00
10
10
10
00
10
00
00
11
00
10
10
01
10
01
00
01
00
00
11
10
10
00
10
10
11
10
11
01
10
10
00
10
01
00
11
00
00
01
00
10
11
10
00
01
00
11
00
11
00
00
11
11
01
00
10
00
00
11
10
01
00
11
10
10
00
10
11
10
10
00
00
10
01
00
01
10
00
11
10
11
00
00
10
11
01
00
10
10
10
01
00
11
00
10
10
00
01
10
00
01
00
00
10
01
10
10
10
10
11
00
00
10
00
11
00
00
11
00
00
01
11
10
10
11
10
11
01
01
10
10
01
00
11
10
00
01
11
10
00
10
10
10
11
00
10
10
00
00
10
10
00
01
11
01
11
10
10
00
11
00
10
00
00
00
01
01
11
00
01
01
10
01
00
10
10
01
11
01
10
00
11
10
01
11
10
00
00
00
01
10
00
10
10
10
10
00
01
00
01
10
00
11
00
01
11
00
01
10
11
00
01
10
00
01
10
11
00
10
10
11
01
01
01
11
11
01
10
00
01
11
11
00
01
10
01
10
11
10
01
00
10
00
01
10
10
01
00
00
10
11
01
01
01
10
11
10
01
00
11
00
01
10
00
11
10
10
00
01
10
11
01
01
00
11
10
10
10
01
01
10
11
00
10
00
11
00
00
00
10
10
10
01
11
00
10
00
10
11
00
00
11
11
10
11
10
01
00
01
10
10
00
00
01
10
10
01
10
10
11
10
01
10
10
00
11
10
00
11
11
10
00
00
10
00
00
10
10
11
00
00
10
00
10
00
11
00
10
11
11
11
11
11
01
10
10
10
11
00
01
10
10
00
11
11
10
11
00
00
10
01
00
10
11
10
10
00
01
10
10
10
00
00
00
10
00
11
10
11
00
00
00
01
11
01
11
10
00
00
10
10
10
10
00
00
00
00
00
00
00
11
11
00
00
01
11
10
11
11
11
10
01
10
10
10
10
10
00
01
00
01
11
00
10
10
01
00
00
10
00
10
10
00
00
10
10
10
11
01
00
11
00
00
10
00
01
10
10
00
10
10
11
10
11
00
10
10
10
00
00
11
11
01
11
10
11
00
00
11
10
10
11
01
10
10
10
00
01
01
00
00
10
10
00
00
00
10
10
01
00
00
10
10
11
11
11
01
11
11
11
10
00
01
10
00
01
10
10
01
11
11
00
10
10
00
00
10
10
01
10
11
00
10
10
10
10
00
10
10
10
10
11
00
11
10
00
01
10
10
01
00
11
10
00
10
10
01
00
11
10
10
10
00
10
00
10
11
10
00
00
10
10
00
00
10
00
00
10
10
10
10
00
01
11
10
11
11
01
00
10
10
10
00
00
10
10
00
01
01
01
10
10
00
01
11
00
00
10
11
01
10
11
00
11
10
11
10
00
00
00
01
00
00
10
01
10
00
11
00
00
01
11
01
01
11
10
10
00
10
10
00
01
11
01
01
00
11
11
00
10
11
00
01
10
11
01
00
00
01
00
10
00
01
10
10
00
10
11
11
01
00
11
10
11
00
00
10
10
01
00
00
00
00
10
10
00
01
10
00
00
00
11
10
10
00
10
10
00
00
11
11
00
00
11
11
10
00
01
10
11
00
00
10
00
10
00
00
11
11
01
00
10
01
00
00
00
10
11
10
00
00
00
11
01
11
11
11
01
11
00
10
10
00
00
00
11
10
00
01
10
00
00
10
00
11
00
11
00
11
00
10
10
01
00
11
10
00
01
00
01
00
01
11
11
00
01
11
11
10
00
00
00
10
10
01
10
11
11
01
01
10
00
00
00
10
01
00
11
11
01
10
00
00
10
01
00
00
01
10
01
10
10
01
00
10
11
10
00
01
00
10
11
00
10
10
00
01
00
10
10
11
11
10
00
01
10
10
01
10
11
00
01
00
10
00
00
11
11
00
00
10
10
00
11
00
11
11
10
01
01
00
00
00
10
10
00
01
00
01
00
10
10
00
00
10
00
00
11
10
10
10
01
11
10
01
11
10
10
10
00
00
01
11
00
10
01
10
00
01
00
00
00
00
10
10
11
00
10
11
00
00
10
01
10
00
00
00
00
11
10
11
00
11
00
01
10
01
00
10
10
01
10
11
00
11
00
00
10
00
11
01
11
11
10
10
01
11
10
01
00
10
10
01
01
11
10
00
00
10
00
00
10
10
01
00
10
10
00
00
10
00
10
00
10
10
10
00
10
01
11
10
11
00
01
10
00
11
10
01
00
00
10
10
10
01
11
10
00
00
00
00
10
00
01
10
00
01
00
00
00
01
10
10
10
10
10
00
00
10
10
11
00
01
10
01
10
00
00
00
00
11
11
01
01
10
10
00
00
00
00
10
11
01
10
10
10
10
11
00
01
00
00
10
10
10
10
00
01
01
10
10
10
00
01
01
11
10
10
01
01
01
00
11
11
00
01
00
01
10
10
10
01
00
10
10
00
00
01
00
11
11
10
01
00
10
10
10
10
01
00
11
11
00
11
10
10
00
11
11
01
11
10
01
00
00
11
01
10
10
10
00
10
10
00
00
00
11
01
01
10
01
01
01
11
11
11
00
01
01
10
10
00
10
11
10
01
00
00
11
00
10
11
10
00
01
10
00
10
01
00
01
00
00
10
01
00
11
10
00
00
10
00
00
11
01
01
10
11
01
01
10
10
00
00
01
10
10
00
00
00
00
01
01
10
01
00
00
10
00
01
10
10
00
10
10
10
01
10
01
00
10
01
10
01
10
01
11
00
00
10
10
01
11
11
00
10
00
01
00
10
10
11
00
00
01
01
00
01
10
11
10
00
00
00
01
10
10
00
00
11
01
01
11
11
11
01
10
11
01
00
10
10
00
00
00
10
11
00
11
10
10
01
10
01
11
10
01
00
00
00
11
11
00
01
01
01
10
10
00
11
00
00
00
10
10
10
11
10
00
00
00
01
11
01
00
01
10
11
11
00
11
00
10
11
00
00
10
11
00
10
10
00
00
01
00
00
01
00
01
10
01
00
11
10
00
10
10
10
00
10
10
00
00
11
00
00
11
00
10
11
00
10
10
01
10
10
11
00
10
11
00
01
00
11
10
10
00
11
10
00
10
11
00
00
10
01
01
11
01
00
10
01
00
10
11
10
00
01
00
10
10
00
10
10
11
10
10
10
10
01
10
01
01
10
01
10
00
10
10
01
11
10
10
01
01
10
10
00
00
10
01
10
01
10
10
10
10
10
10
00
00
10
10
01
11
10
00
01
00
10
10
00
00
00
10
10
00
00
01
10
10
10
10
10
10
00
00
00
10
10
01
10
01
01
10
00
00
11
11
01
01
11
01
10
11
11
10
00
00
00
10
10
00
01
00
01
10
11
00
10
10
00
01
01
01
10
01
00
01
10
11
00
00
01
10
00
11
00
00
00
10
10
01
00
00
10
10
10
00
01
10
10
10
01
10
01
10
00
01
00
10
01
00
11
00
01
10
00
11
10
01
00
10
10
00
10
01
00
10
10
00
01
00
00
11
01
10
10
00
01
01
10
11
10
00
10
10
01
01
10
10
00
10
10
00
10
10
10
01
01
11
11
10
00
10
10
01
10
11
00
10
11
00
00
11
00
00
01
00
10
11
11
00
01
10
11
10
11
10
00
00
10
10
00
00
10
00
10
00
00
10
00
10
11
10
01
00
00
00
00
10
00
10
10
01
01
01
00
00
10
01
00
10
00
00
00
11
10
00
01
10
10
00
10
10
10
01
00
10
11
10
00
01
00
00
10
11
01
01
10
10
00
00
01
00
10
11
00
10
11
11
11
01
00
10
10
11
10
11
00
00
10
11
00
00
00
11
01
01
00
11
10
11
11
00
11
10
11
00
11
10
10
11
00
01
00
11
10
01
11
00
10
10
10
00
01
10
01
00
10
00
00
01
10
10
10
00
00
01
01
00
10
10
00
10
00
00
00
11
11
10
00
01
10
01
10
00
01
11
10
10
00
01
00
10
00
01
10
01
10
11
10
00
00
01
10
10
00
00
10
10
01
01
11
10
11
10
00
01
00
00
10
00
01
11
10
10
10
01
00
11
11
01
10
11
00
00
11
10
00
00
11
10
11
10
00
00
00
01
10
11
01
00
01
00
10
10
11
00
01
10
10
01
10
01
01
11
11
10
00
00
00
10
10
00
00
00
10
10
00
00
00
00
10
00
00
11
10
10
11
10
10
00
11
10
00
00
00
10
00
10
10
00
00
00
00
01
11
00
11
10
00
00
00
10
00
00
10
11
10
10
00
00
10
01
01
01
10
11
11
00
10
01
10
11
01
00
00
00
10
01
01
10
10
00
00
00
10
10
11
10
00
11
00
00
10
00
00
10
11
10
10
00
01
10
01
00
00
00
11
10
00
00
10
10
01
01
00
01
00
11
10
00
11
10
00
00
00
01
00
10
11
00
11
10
10
11
00
00
00
00
11
01
11
10
10
00
10
00
01
11
11
01
00
11
00
00
10
10
01
01
11
11
00
10
00
00
00
00
10
11
11
01
10
00
11
10
10
01
01
10
00
01
10
00
00
00
00
10
11
01
10
10
10
00
00
10
00
10
00
01
01
00
00
00
00
00
00
10
10
10
10
10
10
10
00
00
01
11
00
00
10
10
00
10
10
00
11
01
01
00
00
10
10
11
01
00
10
01
00
11
11
11
10
00
01
10
11
00
00
10
10
00
01
00
10
10
10
00
11
10
01
10
00
01
10
11
10
01
10
00
00
01
11
10
00
00
10
01
00
10
11
00
00
00
10
10
01
10
11
10
00
00
00
00
10
10
01
10
10
01
00
11
10
10
00
00
01
10
10
00
10
11
01
10
10
00
10
10
11
10
00
10
00
01
00
10
00
10
10
11
10
01
01
00
11
00
11
10
01
11
01
11
10
10
11
01
01
00
10
00
10
11
10
00
01
00
10
00
10
10
00
01
10
10
10
10
11
00
00
10
11
11
01
11
01
10
00
10
10
11
01
00
11
11
10
11
01
00
10
11
00
10
10
10
10
01
00
10
11
00
00
01
00
00
00
10
10
11
00
00
10
11
00
10
01
10
00
01
10
10
01
01
10
10
00
01
01
10
00
11
10
00
10
00
11
01
10
11
00
00
00
00
10
00
00
10
10
10
00
11
00
00
00
10
10
00
00
10
00
00
10
01
01
11
11
10
00
10
11
11
00
00
00
10
11
10
01
00
10
11
10
11
00
10
10
10
11
11
01
01
00
01
00
01
10
00
00
10
10
00
01
10
11
00
11
01
10
10
11
01
00
10
00
10
00
00
11
10
10
00
01
10
00
00
00
00
00
11
10
00
00
10
01
10
10
00
10
10
01
10
01
10
11
00
01
00
01
10
10
00
10
00
00
10
10
11
00
00
10
10
11
10
01
00
10
10
00
11
00
11
11
11
10
10
11
10
01
00
10
10
00
00
11
01
01
00
00
10
10
10
01
00
10
10
11
00
11
11
10
01
00
01
01
01
10
10
00
00
01
01
01
10
01
10
10
10
01
01
10
00
00
10
11
01
00
10
10
10
10
00
00
01
10
10
01
10
10
10
10
10
10
10
00
10
00
11
11
01
01
10
00
00
00
10
10
00
01
10
00
00
01
00
11
10
00
10
00
00
10
00
10
00
11
10
01
01
11
00
11
00
00
11
10
01
01
10
01
10
10
00
11
01
00
11
10
01
11
11
01
10
01
00
10
01
00
11
00
01
11
10
00
00
01
10
00
10
10
11
11
10
01
10
10
10
10
00
00
10
11
10
10
10
10
01
01
10
00
10
11
00
00
00
10
01
01
10
00
11
01
10
00
00
11
00
11
10
00
00
11
00
11
10
10
00
00
00
10
00
01
11
10
11
00
10
10
00
10
10
00
00
10
10
01
01
10
01
01
11
00
10
10
01
00
10
10
00
00
10
00
11
01
00
00
11
00
00
01
00
11
10
00
00
10
10
10
10
00
00
00
10
10
01
10
10
00
00
10
01
00
11
01
00
11
11
10
00
01
00
00
10
11
00
00
10
11
01
00
01
11
10
11
10
10
00
10
01
10
01
00
00
11
01
01
11
10
10
00
10
00
01
10
10
00
00
10
01
11
11
10
01
10
10
01
00
10
00
01
11
11
00
00
01
00
11
00
10
10
10
00
00
00
10
10
00
10
11
00
10
11
00
00
11
10
10
11
10
00
00
01
11
01
01
10
11
00
00
10
01
01
10
00
11
00
11
11
00
01
00
11
10
00
01
10
11
00
00
11
01
11
00
00
00
00
10
11
10
10
11
00
00
01
00
10
01
10
10
00
00
01
01
10
10
10
00
00
10
01
00
11
01
10
10
10
01
00
10
10
10
01
11
00
01
01
10
01
00
01
11
11
01
10
10
01
10
11
00
00
11
00
10
10
10
00
00
10
11
11
10
10
01
01
00
00
00
11
01
10
10
10
01
11
00
10
11
10
11
01
00
00
01
10
11
00
01
01
00
10
10
10
10
00
10
11
10
01
00
00
00
10
10
10
11
00
10
10
10
10
10
10
01
10
00
11
10
00
10
00
11
01
00
11
10
00
00
00
10
11
00
00
10
01
00
11
11
00
11
00
10
10
10
00
00
00
00
01
11
00
01
10
10
11
10
01
00
11
11
11
00
10
10
10
10
00
11
10
10
01
11
11
10
10
00
10
00
00
10
10
10
00
01
00
01
11
10
11
11
10
10
00
10
11
00
00
01
10
10
01
10
10
10
00
00
01
10
11
00
00
10
01
11
00
00
11
10
00
00
00
01
00
01
11
10
11
11
10
10
00
00
10
10
00
01
00
00
10
00
10
10
10
01
01
11
00
01
01
00
01
10
11
00
01
10
10
11
00
00
10
00
00
11
00
01
01
01
01
11
10
01
00
10
01
00
11
10
00
10
10
01
01
10
10
10
01
00
10
00
11
00
10
01
10
11
01
00
10
10
00
00
01
10
00
01
10
00
00
00
10
00
00
01
00
11
00
10
00
00
11
11
10
01
10
00
11
01
10
10
10
01
00
11
00
10
10
11
10
00
01
01
01
10
10
01
00
11
10
00
00
00
11
01
10
10
10
10
00
00
01
10
00
10
10
11
11
10
10
00
10
10
00
11
11
10
00
00
01
11
11
00
01
11
10
10
00
00
10
00
10
10
11
01
10
11
10
00
01
10
00
00
00
10
10
01
10
00
00
10
11
10
11
00
00
10
10
10
11
00
10
10
10
00
10
11
00
01
11
10
10
00
00
00
00
10
10
01
00
10
11
01
00
10
10
10
00
10
01
00
10
11
11
00
10
10
00
11
11
00
11
10
00
10
11
10
00
00
11
00
01
11
11
00
00
00
10
10
00
00
01
10
00
10
10
00
10
10
11
00
10
00
11
11
00
00
01
00
11
10
11
00
10
01
00
10
11
01
10
10
00
01
00
01
00
10
01
11
00
11
11
11
11
00
10
00
00
00
00
00
10
10
10
11
11
00
00
10
00
10
01
00
10
11
11
00
10
01
00
11
10
11
10
10
00
11
10
00
10
11
00
01
10
01
00
01
01
10
01
00
10
10
01
00
01
10
11
00
11
00
10
10
01
10
11
10
00
11
10
00
00
10
10
00
00
00
10
00
00
11
11
10
01
00
00
00
00
00
00
10
10
00
10
00
00
01
00
10
01
11
01
11
11
10
11
00
00
10
00
00
11
10
00
01
10
11
11
10
01
00
10
00
01
00
11
10
00
00
00
10
11
00
10
00
01
01
00
00
11
10
01
11
01
00
00
11
01
00
10
00
11
10
01
10
10
01
11
10
01
10
11
01
00
01
00
10
11
11
00
01
10
10
10
10
00
10
10
11
01
10
10
00
10
10
00
01
01
10
11
10
10
10
10
01
10
10
00
10
10
10
00
00
01
11
11
00
00
10
01
11
10
11
01
01
11
10
11
00
01
01
10
10
11
10
00
01
00
10
01
01
11
00
00
10
00
11
00
10
10
01
00
10
10
00
00
10
00
00
10
10
00
11
00
10
01
00
11
01
00
10
11
10
10
11
01
11
01
01
00
10
10
01
00
10
00
00
11
10
11
10
10
10
00
01
10
00
00
00
10
11
00
10
00
01
10
10
10
01
00
10
00
00
00
11
00
00
00
10
10
10
00
00
11
10
00
01
11
00
01
00
10
01
00
10
10
01
00
01
01
00
00
10
01
00
10
10
11
10
00
00
10
01
00
11
00
00
10
00
11
10
11
10
00
00
01
10
10
00
00
11
10
10
11
01
00
00
00
00
00
11
00
00
10
11
01
10
10
10
10
01
00
11
10
10
10
00
11
10
00
10
00
00
10
10
01
01
11
00
11
00
10
00
01
00
10
01
10
10
00
10
10
01
01
11
10
10
10
11
00
01
00
00
01
11
10
11
10
00
10
11
00
11
10
00
00
10
00
00
01
10
00
00
10
10
00
01
11
00
01
00
10
00
01
11
10
10
00
10
11
10
00
10
10
10
01
10
11
00
00
01
11
10
10
01
01
00
10
01
01
00
10
11
10
00
00
00
01
00
00
11
11
00
00
00
00
01
11
00
00
01
10
11
10
00
10
10
00
10
00
00
11
10
00
10
00
00
01
01
01
00
11
10
00
00
11
10
00
00
11
00
11
00
00
01
11
11
00
10
01
00
10
11
10
01
00
00
10
00
01
11
00
10
10
10
11
01
00
11
00
00
00
11
11
01
11
11
01
10
10
00
00
10
10
10
00
00
10
01
10
10
11
01
01
11
11
00
00
10
10
11
10
10
01
10
00
00
00
10
10
10
11
01
00
00
11
00
00
00
00
00
10
00
10
10
00
10
11
00
11
00
00
01
10
11
00
11
11
00
10
01
00
10
00
00
10
11
10
11
01
01
11
10
11
11
00
01
10
10
00
00
10
00
00
10
01
01
00
10
10
10
00
10
10
00
10
11
10
01
00
00
00
00
00
01
10
10
10
00
00
10
11
00
00
11
10
00
10
10
01
01
10
00
10
00
10
10
00
10
10
01
11
10
10
11
10
00
00
00
01
01
00
11
10
01
00
11
10
00
00
00
10
10
00
10
10
01
11
10
01
11
10
01
00
00
01
11
10
01
01
10
11
10
00
11
10
00
10
00
10
10
00
11
00
10
00
10
10
01
01
01
10
10
10
11
10
01
00
10
11
10
00
00
01
10
10
11
00
01
10
01
10
01
00
00
00
10
01
00
00
11
00
10
01
10
10
10
00
00
10
01
01
10
10
01
11
10
10
00
00
10
00
11
10
11
10
10
00
01
10
01
00
11
00
01
10
00
11
10
01
10
10
10
00
10
10
10
01
10
00
10
11
10
00
10
10
10
00
01
10
10
00
11
11
01
10
00
11
10
10
10
01
10
10
11
11
10
10
11
11
00
00
00
01
10
10
01
10
10
10
00
00
00
10
11
00
00
11
11
00
00
10
00
01
10
10
11
01
10
10
11
01
11
10
00
10
10
10
00
01
10
11
00
00
00
10
10
00
10
11
01
00
00
01
11
10
10
01
00
01
11
10
11
00
10
10
10
00
01
10
11
10
00
11
00
01
00
01
10
00
01
10
11
01
11
00
11
10
00
10
10
11
00
01
00
10
11
10
00
10
00
00
01
00
01
10
01
00
00
10
10
10
01
01
11
10
10
10
00
10
10
00
00
10
10
00
11
01
01
11
00
10
10
00
00
00
10
11
01
00
00
11
10
00
01
11
10
00
00
00
01
10
01
11
11
00
10
00
01
11
00
10
10
00
00
11
10
01
00
11
01
11
11
10
00
00
01
10
00
00
10
10
00
00
00
00
11
00
11
00
00
10
10
11
01
10
10
00
00
10
00
10
01
10
10
10
10
10
01
00
11
10
10
00
01
01
01
10
10
00
00
00
10
01
01
11
00
01
10
10
10
00
10
10
00
10
10
00
11
10
10
01
01
00
01
00
00
00
00
10
11
10
00
00
10
10
01
11
00
00
11
00
11
11
11
00
00
01
00
00
11
10
00
10
10
00
00
01
11
11
10
01
01
11
10
11
00
11
10
00
01
10
10
00
01
00
10
11
00
10
11
00
01
10
01
10
10
10
10
00
01
01
01
10
00
10
10
01
11
00
01
01
10
00
00
10
11
00
00
00
11
10
01
10
10
10
01
00
00
00
01
11
10
11
10
10
10
01
00
10
10
11
00
11
00
01
10
10
00
00
10
11
11
00
11
00
00
10
01
11
11
00
01
01
11
10
01
00
10
00
01
11
10
10
11
01
00
11
10
10
00
00
10
01
10
11
00
10
11
10
00
00
00
11
10
00
10
10
00
00
10
00
01
11
00
10
10
10
11
10
11
10
01
10
10
01
00
00
10
00
00
00
11
00
11
10
10
00
01
10
01
10
10
11
10
01
00
00
10
00
10
10
00
10
11
10
00
11
00
10
10
00
10
00
10
11
01
00
10
10
00
10
10
00
00
00
10
10
11
11
00
00
10
11
11
01
11
11
00
01
10
10
10
10
00
00
11
00
00
10
00
01
10
00
01
10
00
10
00
00
00
10
01
00
01
10
00
10
01
00
01
10
10
01
01
10
10
01
00
00
10
00
11
01
00
10
11
11
10
11
00
00
00
10
10
11
01
10
01
00
00
10
01
00
10
10
00
11
11
10
00
00
11
00
10
10
10
00
00
11
00
10
10
00
00
10
10
10
10
00
11
00
10
00
11
11
11
00
11
10
00
01
00
10
10
10
11
11
10
11
01
00
00
10
00
00
11
11
10
01
00
01
10
10
01
00
10
00
01
10
00
01
10
01
00
11
10
10
00
00
10
10
10
01
11
10
10
01
01
10
00
10
10
11
10
01
01
11
11
10
00
01
01
00
10
10
00
10
01
11
11
00
00
00
01
10
10
00
01
10
11
00
00
00
10
10
11
00
00
11
00
01
10
00
00
11
01
10
00
00
00
00
01
10
11
00
00
10
11
11
01
01
01
01
10
11
00
00
11
10
00
00
00
10
10
00
01
00
11
00
00
00
11
10
00
01
11
11
00
10
00
00
10
01
10
01
11
00
11
01
10
11
10
10
00
10
11
01
11
10
01
10
00
10
10
10
00
00
01
11
00
01
11
01
10
10
10
00
01
11
00
00
10
10
10
00
00
01
00
10
00
00
10
10
10
00
01
10
00
11
10
00
00
11
00
11
00
10
01
10
00
00
11
01
00
00
01
01
11
00
10
10
01
01
10
00
11
00
11
10
00
10
10
00
10
01
01
00
01
10
10
01
10
11
00
11
10
10
00
00
10
10
10
10
10
01
10
11
11
00
00
00
11
11
01
01
11
11
00
01
01
01
10
11
00
00
00
11
10
01
11
10
00
10
10
01
10
11
00
00
10
10
10
11
10
01
01
10
10
00
00
11
00
01
10
11
10
11
00
10
01
00
10
00
10
11
11
01
10
01
00
10
00
00
01
10
10
00
00
00
10
10
11
00
11
00
10
10
10
00
00
10
10
00
10
10
01
00
01
00
00
10
10
01
10
00
01
10
11
01
01
10
10
10
00
10
10
00
00
11
11
01
00
00
00
01
10
10
00
00
10
11
10
10
00
00
00
10
10
01
00
10
00
11
10
11
00
00
10
10
00
10
10
01
00
10
10
01
11
01
00
10
11
01
00
10
10
10
00
00
10
01
00
00
01
00
00
00
01
11
10
00
11
10
00
00
11
10
00
00
00
00
11
10
11
00
10
00
00
00
00
01
11
10
10
01
10
10
00
00
10
10
11
10
00
10
10
00
01
10
10
01
00
01
01
00
01
10
10
11
00
00
10
00
00
01
00
01
00
11
11
00
00
10
10
01
00
10
10
11
10
01
11
11
00
00
10
11
11
00
00
10
10
00
11
00
00
10
01
11
00
01
00
01
10
01
00
01
01
10
00
00
00
10
10
00
10
10
10
11
10
00
10
10
11
11
00
10
11
00
01
00
10
10
10
00
00
00
10
00
11
10
11
11
00
00
00
11
00
00
10
00
00
10
10
11
10
01
01
10
11
10
01
01
00
10
10
01
01
10
10
01
00
11
10
11
00
00
00
00
10
00
10
10
10
00
01
10
11
11
11
11
10
10
00
00
01
00
00
00
10
10
01
00
11
11
00
10
00
00
10
00
00
11
11
00
10
01
01
00
00
00
10
10
10
10
00
00
11
10
00
01
00
00
00
10
10
11
00
00
00
00
00
11
00
01
11
10
00
10
00
10
11
01
01
10
00
00
01
10
01
00
10
10
10
10
11
00
00
10
10
00
10
11
10
11
00
01
00
10
01
10
11
00
10
11
01
00
11
10
01
10
00
11
01
01
10
01
00
01
10
00
10
11
00
11
00
11
00
10
10
11
10
01
01
10
01
01
10
01
10
10
10
00
01
11
11
00
10
10
01
11
00
00
01
01
00
01
10
11
00
10
01
10
00
00
11
01
00
10
00
01
10
00
10
11
11
10
00
01
10
10
11
01
00
10
10
00
11
10
01
10
10
00
10
00
00
00
10
10
00
00
00
00
10
00
10
00
10
00
01
11
10
10
00
10
00
00
10
00
10
00
00
10
10
10
00
00
10
11
10
01
01
10
11
01
10
10
00
01
00
00
10
00
00
01
11
01
01
11
10
10
11
10
00
00
11
10
00
00
10
10
00
01
00
10
00
01
01
00
10
10
11
10
11
00
11
10
11
11
11
11
00
01
10
01
00
00
11
00
01
11
00
00
10
10
01
00
10
10
00
00
11
11
01
01
00
00
00
10
00
00
10
11
01
00
00
00
10
00
10
10
01
10
00
01
10
11
10
01
00
10
10
10
00
01
01
00
10
10
11
11
11
00
11
01
10
00
01
10
00
00
10
00
10
11
11
01
00
00
00
11
00
00
01
10
00
00
10
01
11
01
00
01
10
00
10
10
00
10
11
00
01
11
00
01
10
11
11
00
00
01
01
11
10
01
01
00
01
11
00
10
10
00
10
00
00
10
01
00
10
11
00
11
00
11
01
01
10
00
10
11
01
10
00
01
01
10
01
00
10
10
00
00
11
10
11
00
00
00
00
00
00
10
10
01
00
11
10
01
10
00
01
11
11
00
10
11
00
00
10
00
00
00
10
11
10
01
00
01
10
10
00
10
10
10
10
01
10
00
10
10
10
11
11
10
11
11
01
01
00
00
00
01
11
11
11
10
00
01
11
10
00
10
01
00
01
01
00
10
11
01
10
11
11
10
00
01
00
01
11
10
00
11
11
00
00
00
11
10
11
11
00
00
00
10
01
10
11
11
00
01
11
01
10
11
00
01
10
11
00
00
10
10
10
01
10
10
00
10
00
10
10
10
10
01
00
01
11
00
00
11
00
00
10
11
10
10
10
01
10
11
00
01
11
10
01
11
10
10
01
01
00
00
10
00
11
10
10
01
01
10
11
00
11
10
00
00
10
00
00
01
10
11
00
00
00
11
00
00
10
10
10
00
00
10
10
10
10
10
10
00
00
00
11
00
01
11
11
10
10
00
00
10
10
00
10
00
00
00
10
10
10
10
10
01
00
10
00
10
01
10
00
01
00
10
00
00
01
00
01
10
00
10
11
00
10
10
00
10
10
00
01
11
11
01
10
01
10
11
01
10
10
00
11
01
01
01
11
10
10
10
00
01
00
00
10
00
10
00
11
10
00
10
10
00
00
11
10
11
00
00
00
01
11
00
01
10
01
10
01
00
01
10
10
01
00
01
01
10
11
00
00
11
10
00
00
11
10
11
11
01
00
01
10
10
10
01
11
10
00
10
10
00
10
00
10
00
10
10
11
10
00
00
10
10
01
00
10
11
10
00
01
11
01
10
10
01
10
10
00
10
10
11
10
00
01
10
10
00
00
00
00
10
11
00
10
11
01
00
11
00
11
10
10
00
00
10
10
10
00
11
00
00
00
10
10
01
00
00
00
11
10
10
11
00
10
10
00
10
10
00
01
00
00
11
10
01
10
00
00
10
10
00
01
10
10
01
00
11
10
00
01
00
00
11
10
00
00
11
11
10
01
10
11
11
00
11
10
10
00
00
00
00
00
11
10
00
00
00
11
10
00
00
01
10
11
10
11
10
10
11
10
10
00
01
10
10
00
00
01
00
10
11
10
00
00
11
00
01
10
00
10
10
00
10
00
01
00
11
10
01
11
01
10
00
01
10
10
00
00
10
11
00
11
10
11
10
01
00
10
01
00
00
10
11
00
00
00
10
11
10
10
10
00
00
10
01
00
10
10
10
11
10
00
10
10
00
10
01
11
01
00
10
10
10
01
10
01
00
00
10
10
01
00
00
11
01
11
00
01
00
00
10
00
11
10
10
01
00
01
10
10
10
01
01
10
00
10
00
01
10
00
10
00
00
00
00
11
10
00
00
10
00
00
10
11
11
01
11
00
10
01
00
10
00
00
10
10
10
10
00
10
00
01
11
10
10
10
01
10
11
00
00
10
11
10
01
10
10
11
00
10
10
00
10
00
01
11
11
01
00
10
00
00
00
00
10
01
10
10
00
10
11
11
11
01
00
00
00
01
11
11
00
00
11
00
01
10
10
00
00
10
10
00
01
11
00
00
10
11
01
10
00
10
01
01
11
11
10
00
01
01
10
10
00
00
10
00
00
01
10
11
11
00
00
10
11
00
11
00
10
10
10
10
01
01
01
01
01
00
11
01
00
10
11
10
10
00
00
10
01
01
10
10
10
11
10
00
00
01
11
11
11
00
00
00
10
00
01
10
11
01
10
11
10
10
00
01
11
00
11
11
11
01
10
00
10
10
01
10
11
10
01
00
00
00
00
00
10
10
01
00
01
01
00
10
00
10
10
00
01
11
00
10
10
01
00
10
10
10
00
10
10
00
11
01
00
00
01
10
00
10
11
01
11
01
00
11
00
11
11
10
01
00
11
11
00
00
00
11
11
11
01
00
10
11
10
00
00
00
11
10
00
10
00
11
00
01
00
01
00
00
10
00
00
00
10
10
00
10
00
10
00
01
00
00
01
01
00
01
01
10
11
00
10
00
11
10
00
11
11
01
11
10
00
11
00
00
10
00
01
11
01
10
11
00
11
10
10
00
00
10
10
10
00
00
00
10
01
01
01
10
10
10
01
00
11
11
00
00
10
10
00
10
11
01
11
11
10
10
00
10
10
10
00
01
00
11
00
00
11
00
10
00
10
11
10
01
00
00
01
10
11
10
10
00
10
11
00
10
11
10
01
10
10
11
00
11
11
00
00
00
01
10
10
00
00
10
11
00
10
11
00
00
00
00
11
10
11
11
10
00
01
00
11
10
01
11
01
10
01
10
10
00
11
10
00
00
11
10
01
11
01
00
00
10
00
00
11
10
00
11
00
00
00
10
01
00
10
00
00
00
00
10
11
10
01
10
10
00
00
10
01
11
10
01
00
00
00
00
11
10
10
00
00
01
10
11
01
00
10
11
10
10
00
00
10
00
10
00
10
00
01
10
01
01
10
10
00
10
00
00
10
00
01
10
00
00
00
10
10
10
10
10
00
10
00
11
10
00
10
11
10
10
01
01
00
11
11
10
00
01
00
10
01
01
00
01
10
10
01
00
11
00
11
11
00
01
00
10
10
10
00
11
00
01
00
01
01
01
00
10
10
01
10
01
10
11
11
00
10
00
00
10
01
00
10
00
00
11
10
01
11
10
10
11
10
10
00
11
00
11
00
00
10
10
00
00
01
10
01
10
00
11
10
00
00
01
11
10
00
10
10
11
10
00
10
00
11
11
11
10
10
01
10
00
00
01
10
10
00
00
00
00
01
11
10
11
11
11
10
00
01
10
10
00
00
01
10
10
10
11
00
11
00
11
11
00
00
11
01
11
01
01
10
10
10
00
00
10
10
00
10
00
11
00
10
00
10
10
00
00
11
00
00
00
00
01
00
01
10
10
10
11
00
00
01
10
00
01
10
11
10
10
11
00
01
01
00
11
10
00
00
01
10
10
00
00
11
00
01
10
10
10
10
11
00
10
10
10
10
00
00
10
11
10
01
00
10
01
11
00
00
10
11
11
01
11
01
11
10
10
00
01
10
11
10
00
11
10
00
00
10
10
10
10
00
10
10
10
10
00
10
01
10
11
00
11
00
10
11
01
00
11
11
00
10
11
10
10
11
00
01
01
10
01
00
01
11
01
01
10
10
01
01
00
11
10
01
01
11
10
10
01
00
10
10
01
00
01
11
11
00
00
10
10
10
00
10
11
10
11
01
00
01
00
11
10
01
00
10
10
01
00
00
01
10
11
10
10
00
00
11
10
00
00
10
00
10
10
01
11
00
00
00
01
00
00
00
11
11
11
10
00
10
10
10
10
10
01
00
10
00
10
11
10
00
00
11
11
10
10
00
00
00
00
10
11
01
10
11
01
11
00
10
00
00
00
10
11
11
10
11
00
00
11
10
00
01
11
11
00
11
00
00
10
01
10
11
00
00
10
00
00
10
11
10
00
00
10
00
00
01
00
10
00
00
11
00
11
00
10
10
00
10
10
01
00
00
01
00
10
01
10
00
00
00
00
10
01
10
10
10
10
00
11
11
01
00
10
10
10
10
01
00
10
00
01
11
10
00
00
11
10
10
00
10
01
00
01
00
01
10
10
00
10
11
01
01
01
11
11
10
00
00
10
00
00
00
10
11
01
11
01
01
01
01
10
00
01
10
01
00
11
10
01
00
10
10
01
10
01
00
10
10
01
00
11
00
00
00
00
00
10
11
00
00
10
10
00
00
10
10
01
10
10
10
01
00
01
00
10
11
11
00
00
00
10
10
11
00
00
00
10
00
00
10
10
00
00
10
10
10
10
01
00
00
10
00
10
00
10
10
00
00
00
00
01
01
10
10
10
11
11
01
00
11
10
11
00
00
11
10
00
00
01
00
10
00
11
10
00
01
10
00
10
10
00
10
10
00
00
10
10
10
01
00
10
00
10
00
00
10
10
01
00
10
01
00
11
00
01
01
10
11
11
10
01
00
10
10
00
10
10
10
00
01
00
11
10
00
01
00
10
00
10
10
00
01
10
00
00
00
00
10
00
00
00
10
11
01
10
01
11
11
10
01
01
01
11
11
00
00
10
10
00
00
10
00
11
00
10
01
00
00
11
00
00
00
00
10
10
00
11
10
10
01
10
00
00
11
00
00
00
10
00
00
11
00
00
10
00
10
00
01
11
00
11
00
10
10
10
00
10
01
01
01
10
10
10
00
10
10
11
00
00
00
11
11
00
10
00
10
01
00
10
10
00
01
10
01
00
00
11
10
01
00
11
10
01
01
10
11
00
10
00
01
10
11
11
01
00
11
01
00
00
10
01
00
01
10
10
10
01
00
10
11
00
01
00
00
10
00
11
11
10
00
00
11
00
10
00
10
01
00
11
00
10
11
10
11
10
10
00
10
00
00
00
10
11
01
11
00
11
10
00
00
01
00
10
00
01
00
01
11
00
10
10
11
10
10
00
10
10
10
00
00
10
00
11
10
01
01
10
00
10
10
10
10
01
00
10
00
01
00
00
11
10
10
10
10
10
10
10
00
10
10
10
10
11
10
10
11
11
01
00
10
00
00
10
00
11
10
10
01
11
01
00
10
00
00
00
00
11
11
10
00
10
00
01
00
10
11
01
00
10
01
00
11
10
01
01
10
00
11
00
00
10
11
10
11
01
01
11
01
01
10
10
00
00
11
10
01
00
00
00
11
00
00
10
10
11
01
00
10
10
01
01
00
10
11
01
10
11
00
10
11
00
00
10
00
01
00
00
00
11
11
01
10
01
01
10
10
10
00
00
11
11
10
00
00
10
00
10
00
01
10
00
10
00
00
11
10
00
11
01
11
10
10
01
00
01
11
01
11
11
11
00
10
10
00
10
10
00
00
11
10
10
10
00
11
10
10
01
00
00
10
11
10
10
00
00
01
10
01
11
10
01
10
11
00
01
10
11
10
00
10
10
11
00
10
11
00
01
11
11
00
00
10
00
10
10
00
00
00
01
10
01
10
10
10
01
11
00
00
11
10
00
10
00
00
11
10
00
10
10
00
01
10
11
01
10
10
10
10
10
10
00
01
10
00
11
01
00
10
11
00
01
10
00
10
00
10
11
10
10
10
01
00
01
00
11
01
01
00
11
00
10
00
01
10
00
11
10
11
11
00
10
11
01
01
00
10
10
00
10
01
10
00
10
11
00
00
10
10
10
00
01
01
00
00
10
10
10
01
00
11
10
11
11
00
00
10
01
00
00
10
11
00
00
01
11
11
00
00
01
11
00
11
00
00
11
01
11
01
01
00
11
10
01
10
10
10
00
00
00
00
11
11
00
01
10
11
00
11
11
00
00
10
00
11
00
01
11
00
00
10
10
00
10
10
01
01
10
10
10
01
10
01
01
00
01
10
11
00
01
11
00
01
11
10
10
10
00
10
00
00
10
00
00
10
10
00
10
10
10
10
00
00
00
10
00
11
01
01
10
11
00
10
10
01
10
00
01
10
10
00
11
10
10
00
01
10
10
01
00
01
00
00
00
10
10
01
10
11
10
11
10
10
00
00
00
10
10
01
10
10
00
01
00
10
10
00
00
01
00
10
11
00
01
00
10
10
10
00
00
01
10
10
10
00
10
00
00
11
10
01
11
11
00
00
10
11
00
11
10
11
00
00
00
11
00
11
01
00
10
00
10
10
01
00
11
00
00
11
11
01
10
01
00
00
11
11
01
00
10
11
01
11
10
01
00
10
00
10
00
00
11
10
00
01
10
10
01
00
00
11
00
10
00
10
10
10
01
10
10
00
01
00
00
11
11
00
11
10
01
10
10
11
00
00
00
10
10
00
10
11
11
01
11
00
11
11
11
01
01
10
10
00
00
00
10
11
00
11
10
10
10
11
00
01
11
10
00
00
10
00
00
00
01
10
10
10
10
01
01
10
10
10
00
01
01
00
11
00
00
00
00
01
10
00
00
11
11
00
00
11
01
01
10
10
10
00
01
00
10
10
01
10
11
00
01
10
10
01
10
01
00
10
00
00
00
10
00
00
00
01
10
10
00
10
11
10
00
11
10
00
10
10
01
10
00
00
10
10
00
00
10
01
00
10
01
00
10
10
01
00
01
00
10
10
11
10
01
11
11
11
10
00
10
01
01
10
00
00
00
10
00
10
00
10
10
00
00
01
00
01
01
01
11
00
00
01
00
11
10
11
01
11
10
10
10
00
00
10
10
00
00
01
00
10
00
10
00
00
10
00
10
11
10
10
11
00
01
00
10
10
00
10
10
10
00
11
11
00
00
01
00
00
10
01
11
00
01
11
10
00
11
11
00
00
00
01
00
00
10
10
01
10
10
00
01
00
01
10
00
11
00
11
10
00
00
00
00
01
11
10
11
00
01
10
10
11
00
10
10
10
01
01
00
11
11
10
10
00
10
10
10
00
00
01
01
00
11
10
01
01
01
11
00
00
10
11
11
00
01
11
00
00
00
00
00
01
11
00
10
11
10
00
10
00
10
01
01
01
01
10
00
11
01
00
01
00
11
11
01
10
10
00
01
00
11
00
01
10
10
10
10
01
00
10
10
11
00
00
10
00
00
10
01
00
00
11
00
01
10
00
11
00
11
10
10
00
01
10
00
10
00
01
11
11
00
00
10
11
11
10
00
01
01
10
01
00
00
00
00
10
11
00
01
00
00
10
10
10
01
00
00
00
00
00
10
10
10
10
11
11
00
11
10
11
00
10
11
11
11
01
00
11
10
00
00
01
10
01
10
11
10
00
00
11
10
00
10
10
00
01
11
00
11
01
00
00
11
11
00
10
10
01
00
10
00
11
10
00
00
00
10
11
01
10
11
01
10
11
10
11
10
00
01
11
10
00
11
00
00
11
01
10
01
11
00
11
00
10
11
00
01
00
00
10
00
11
01
10
10
00
11
01
00
11
10
01
00
11
01
01
00
10
01
00
01
10
01
00
10
00
11
10
10
10
00
01
00
00
00
00
00
10
10
11
00
01
00
10
11
00
00
11
10
01
01
10
10
10
10
10
00
00
00
01
11
10
00
11
10
10
00
00
10
00
10
11
00
11
11
01
00
11
10
10
01
00
11
00
10
10
10
00
10
10
11
00
10
10
01
00
11
01
10
10
00
10
00
10
10
01
00
00
11
10
01
10
11
10
00
00
10
00
01
00
11
10
00
00
00
10
00
00
11
10
10
00
11
10
11
00
00
10
11
10
01
00
00
00
00
10
11
01
10
00
10
10
10
01
00
01
00
10
10
00
10
11
01
00
00
11
00
10
01
00
00
00
00
11
10
10
11
00
10
00
11
00
00
00
00
11
10
10
11
00
11
11
01
11
11
00
00
00
00
10
11
00
11
11
00
10
01
10
10
11
01
10
11
00
00
01
00
10
10
00
00
10
10
00
10
10
00
10
10
10
00
10
11
00
10
11
10
10
01
00
01
01
10
00
10
10
00
01
11
10
00
01
10
00
11
11
00
10
11
11
10
01
00
10
01
01
00
11
11
01
10
10
10
01
10
10
01
00
01
00
00
10
00
11
10
01
00
00
10
11
00
01
00
10
00
01
11
10
10
10
11
00
01
00
00
01
10
00
10
00
00
01
10
10
00
00
10
10
01
00
00
01
10
10
00
01
10
00
10
10
00
10
10
00
00
10
00
10
10
00
10
01
11
01
11
10
11
01
10
10
00
00
10
11
00
01
00
10
01
10
00
00
01
10
10
10
10
10
10
11
00
11
00
00
10
10
10
00
00
00
10
10
01
10
00
10
00
00
01
00
10
11
00
10
11
10
11
10
11
01
10
10
00
01
00
11
10
00
01
11
10
00
11
10
10
00
00
11
11
11
01
11
00
00
01
00
10
10
01
11
00
10
11
01
00
00
00
00
10
00
11
10
01
10
00
11
10
11
10
00
01
11
01
00
00
10
11
10
00
01
00
01
00
01
11
10
10
00
10
01
10
10
00
11
11
01
10
10
10
01
00
00
10
11
10
11
00
00
00
00
10
10
10
01
00
00
10
10
01
10
10
10
10
01
00
10
00
01
01
01
01
00
10
11
00
10
10
01
10
10
00
10
10
11
00
00
11
10
01
00
01
10
11
10
01
01
00
01
10
00
11
00
01
11
11
00
01
10
01
10
10
00
10
10
00
00
11
01
11
10
11
00
01
11
00
00
10
00
00
00
11
00
10
10
01
10
11
10
01
10
11
10
11
10
00
10
10
01
00
00
11
10
00
00
10
00
10
10
00
10
10
00
00
10
01
01
00
10
10
00
10
00
01
10
11
11
00
01
01
10
10
11
00
11
00
00
10
11
01
00
11
11
11
00
10
10
00
01
10
00
01
01
01
00
00
10
10
00
00
10
00
10
11
10
01
00
10
00
00
11
10
11
00
11
00
01
11
00
00
10
11
00
10
10
00
10
11
11
00
01
10
01
11
00
01
10
10
10
01
01
01
10
10
10
01
00
01
00
10
00
10
10
00
00
10
00
01
10
10
01
10
10
01
01
00
10
11
10
10
10
10
00
11
00
11
01
10
00
00
00
11
00
00
10
10
10
00
11
10
10
11
01
00
11
10
01
00
10
00
10
11
00
01
10
10
11
10
00
00
00
11
11
00
10
00
10
10
10
10
00
10
10
00
11
00
11
00
01
10
00
11
10
00
00
10
11
11
11
10
00
10
10
10
10
10
00
10
00
01
10
00
10
11
00
01
10
11
01
00
01
00
10
00
10
10
00
01
10
01
01
10
10
11
10
11
10
00
00
00
00
10
00
00
10
10
10
10
10
01
10
10
11
00
10
00
00
11
00
00
10
01
01
10
00
00
00
10
10
10
00
10
10
11
01
00
01
10
01
00
10
11
11
00
01
00
00
10
10
00
10
10
00
10
00
01
10
00
00
00
10
11
11
00
01
10
10
11
00
10
00
10
10
01
00
00
00
10
01
00
00
11
11
00
10
10
00
10
11
10
10
01
11
10
00
01
11
10
01
00
10
10
01
10
10
00
00
00
10
10
11
00
00
01
00
01
11
10
11
10
11
00
10
10
01
10
00
01
10
10
00
00
10
10
00
01
00
01
01
11
10
01
00
10
10
10
00
01
10
11
00
11
10
00
10
00
00
11
00
00
10
00
10
00
11
10
01
01
00
11
11
00
00
10
00
01
00
10
00
10
10
10
11
00
00
00
00
00
00
11
00
11
00
00
01
10
10
00
00
10
11
00
01
00
10
00
00
11
10
01
01
01
01
11
01
10
00
10
00
11
10
01
00
00
00
10
11
11
00
01
10
11
00
00
00
10
00
10
10
01
00
01
10
10
10
00
00
10
10
00
00
00
11
10
10
00
00
01
00
00
11
10
00
11
00
11
00
00
10
00
00
00
10
10
11
00
00
10
10
01
00
10
10
11
00
00
00
10
11
00
10
10
01
00
00
00
11
11
00
10
00
10
10
00
10
00
11
10
01
11
00
00
00
00
01
00
11
10
00
00
10
00
11
00
00
10
10
00
10
10
00
10
10
10
00
01
00
11
00
11
10
11
10
10
10
00
11
10
00
00
00
11
01
11
11
11
11
00
11
10
00
00
00
10
00
00
10
10
10
00
10
00
00
11
11
10
10
00
00
11
10
00
00
10
00
01
11
00
01
10
00
01
10
10
00
01
00
01
00
10
01
00
11
01
01
10
10
00
10
10
01
10
00
00
00
00
00
11
11
01
00
10
00
11
11
01
10
00
00
11
00
00
00
11
11
00
01
00
00
00
00
10
10
10
00
00
00
01
11
10
10
01
10
11
01
10
00
10
10
01
00
00
10
01
10
11
00
10
11
00
10
10
10
00
10
11
00
01
10
00
00
10
10
10
01
00
10
11
00
10
10
01
00
10
10
10
10
01
10
01
10
00
01
11
01
10
11
00
01
00
10
10
10
00
00
11
01
10
10
10
01
00
11
00
00
00
01
10
11
01
00
10
11
00
11
11
00
10
10
00
00
10
11
11
00
11
00
00
00
00
11
11
00
01
00
11
00
11
00
10
11
00
10
10
01
01
00
10
11
01
11
10
00
00
00
10
11
10
00
00
10
00
00
10
00
10
01
00
10
01
00
10
01
00
10
10
00
01
10
10
00
10
00
00
10
10
00
11
01
10
11
01
00
00
10
01
00
10
10
10
01
10
10
00
11
00
10
11
01
10
01
00
10
10
00
00
10
10
00
10
00
01
00
01
00
00
10
10
00
10
11
00
01
00
10
00
01
11
00
11
11
10
11
10
10
10
01
01
01
10
10
00
10
10
01
10
11
11
00
10
00
01
10
10
01
10
00
10
01
00
01
10
10
10
00
00
00
10
10
00
01
01
00
01
00
00
00
11
10
00
00
10
10
10
10
00
00
00
01
01
11
10
00
11
10
00
01
11
00
00
10
00
00
10
10
10
10
11
11
11
00
10
10
00
10
00
00
00
10
10
10
00
10
01
01
10
01
00
11
00
11
00
01
10
10
10
10
10
10
00
01
00
01
11
11
00
11
00
00
00
01
11
11
00
01
10
11
11
10
10
00
10
01
00
10
00
11
11
00
00
10
11
00
10
01
10
11
00
00
10
10
11
00
01
10
11
00
01
00
01
10
00
10
00
00
10
00
01
10
11
11
11
00
00
11
00
00
11
01
00
10
10
10
01
10
10
00
01
11
00
00
10
10
00
00
00
11
11
00
10
00
10
10
00
01
10
10
11
00
10
01
00
01
10
00
01
00
11
10
00
00
01
00
00
10
10
00
01
10
11
10
00
00
10
00
01
11
10
10
00
00
10
00
00
10
11
00
00
11
00
00
10
11
10
00
01
01
10
01
00
10
10
10
01
00
10
11
11
01
10
00
10
10
00
00
10
11
00
00
10
00
01
10
01
11
00
00
10
00
10
00
00
00
01
11
10
10
11
01
01
11
00
11
00
00
01
10
01
10
10
10
11
00
10
00
00
10
11
11
10
01
01
00
11
01
10
11
01
00
01
11
10
00
00
10
11
10
00
00
00
10
11
00
10
10
10
00
10
00
11
10
01
10
01
10
01
00
10
10
00
10
00
00
11
00
00
11
01
10
00
01
10
10
00
10
01
00
11
10
11
00
10
11
10
00
01
11
10
00
10
00
10
01
00
11
00
10
00
00
10
01
10
10
10
01
10
10
11
00
00
00
11
11
01
11
11
01
00
00
10
11
00
00
10
11
00
00
00
00
11
10
00
10
00
01
10
00
00
10
11
00
10
00
00
10
10
11
11
11
10
10
00
01
10
10
00
00
00
01
10
10
11
11
00
00
11
10
11
11
00
01
10
00
10
01
00
10
11
00
00
10
10
00
11
10
00
10
10
10
00
00
10
00
00
01
00
10
11
01
00
11
10
00
00
00
00
11
01
00
10
11
10
10
10
01
11
10
10
10
10
10
10
01
10
00
11
00
00
01
01
01
00
00
11
00
00
10
00
00
00
00
10
10
10
10
01
10
11
10
10
10
10
00
11
11
00
01
10
11
01
10
01
10
01
00
01
10
10
01
10
11
00
00
11
00
00
00
00
10
10
01
11
11
01
00
01
10
00
11
00
01
10
11
01
01
00
10
10
10
10
00
00
10
10
00
00
10
00
00
10
01
01
00
00
10
10
10
11
00
00
00
10
00
00
10
10
10
00
01
00
00
00
10
11
10
11
00
00
00
00
10
11
10
00
01
10
10
00
10
10
11
10
00
11
00
01
00
00
00
10
10
00
00
00
00
11
11
10
01
00
10
00
10
00
00
00
10
01
00
11
10
10
00
11
10
10
10
00
11
10
10
10
01
00
11
11
00
11
10
01
11
10
00
00
10
00
00
11
00
10
00
00
00
01
10
11
10
00
01
11
11
01
11
11
00
10
10
01
11
10
01
00
10
00
00
00
11
11
01
10
00
11
10
00
01
11
11
00
10
00
01
11
01
00
11
11
00
01
01
11
01
11
11
01
00
01
00
10
10
00
10
00
01
10
10
11
00
10
10
10
00
00
11
00
11
10
10
10
10
10
01
00
10
10
00
00
00
10
11
10
00
10
01
00
10
11
01
01
10
11
01
10
10
01
10
10
00
00
10
11
10
00
00
10
10
10
10
01
10
10
00
01
10
10
10
00
00
00
00
10
00
01
10
00
00
01
00
10
00
01
10
01
00
00
01
00
00
00
10
00
00
10
11
00
00
11
00
11
10
10
00
00
00
00
10
10
10
00
00
10
11
10
10
00
00
01
10
00
00
01
10
00
11
11
10
11
00
00
11
00
00
10
10
00
10
11
10
10
00
10
10
01
00
01
00
01
01
10
01
10
00
10
00
01
10
10
11
00
11
10
00
01
10
11
00
10
10
01
10
00
11
11
01
10
01
00
01
11
10
11
00
01
10
01
00
00
11
11
01
00
11
10
10
11
10
00
00
01
00
01
10
01
01
10
11
01
10
11
10
11
10
10
00
00
00
11
11
00
00
10
10
00
10
10
00
11
11
00
11
00
10
10
11
00
00
10
10
00
10
11
00
11
01
11
10
10
01
01
10
10
11
01
00
00
00
01
00
00
11
11
10
01
00
10
10
00
01
10
01
00
00
11
01
10
10
11
10
11
10
11
01
10
10
01
00
00
10
10
00
00
10
00
00
10
10
00
00
00
10
10
10
00
10
10
01
10
10
01
10
01
10
10
00
00
10
10
00
00
00
00
00
00
10
11
00
00
11
10
10
00
10
00
10
10
00
10
01
11
11
10
00
10
11
00
00
11
10
11
10
00
00
10
00
11
10
01
00
11
00
10
00
01
10
10
11
10
11
00
00
10
10
10
00
10
10
00
11
01
11
00
00
10
10
10
00
00
10
10
00
10
10
10
00
10
11
11
11
00
01
00
11
00
10
00
00
11
10
01
00
10
10
00
01
10
00
01
10
10
10
01
00
11
00
10
00
11
11
11
00
00
00
10
10
00
00
11
00
01
10
10
10
10
11
00
00
10
00
00
11
00
11
10
11
10
10
00
00
01
10
01
00
01
10
11
00
01
00
10
10
00
00
11
10
01
00
10
10
10
00
01
00
01
11
10
00
10
11
01
10
00
10
10
00
10
10
01
00
11
11
00
00
10
01
00
11
10
00
10
11
11
11
00
11
11
01
11
10
00
00
00
10
10
00
00
00
11
10
10
01
10
11
01
00
10
10
11
10
10
01
01
01
10
11
11
10
00
10
11
00
11
01
00
01
10
10
00
00
00
10
00
00
00
10
00
01
01
11
10
00
10
00
10
01
11
11
00
00
10
10
11
00
10
10
10
10
01
00
10
10
00
10
10
00
11
11
11
00
11
10
00
10
10
00
10
10
00
01
10
10
11
11
10
10
10
10
01
10
11
00
10
00
01
00
10
10
00
11
01
11
10
01
00
11
00
00
00
10
11
10
10
01
11
10
10
00
00
01
00
11
01
11
10
00
10
10
00
00
00
10
11
00
10
01
11
10
10
00
11
10
00
10
10
00
10
11
00
01
11
00
11
10
01
00
10
10
10
10
10
10
00
00
10
11
10
00
01
01
01
00
10
00
00
11
10
10
00
00
10
00
10
01
00
00
10
10
10
10
10
00
00
01
00
01
10
10
00
01
10
01
00
01
00
11
10
11
01
00
00
10
00
11
10
00
11
00
10
10
11
11
01
01
10
10
00
10
11
00
00
10
00
00
10
11
11
00
11
10
00
01
11
01
00
10
01
10
10
00
11
10
00
10
00
01
11
00
10
11
00
11
10
10
00
00
01
10
10
00
11
00
10
00
00
00
01
00
10
10
00
00
00
00
00
11
01
11
10
10
01
00
11
10
00
01
11
10
01
00
00
10
00
01
00
10
10
11
11
00
00
00
00
10
01
10
11
11
00
00
10
10
01
01
10
10
01
10
00
00
10
00
00
11
00
10
10
10
00
11
11
00
11
10
10
10
00
11
10
00
01
00
00
10
01
00
11
00
11
00
11
00
00
00
10
11
00
00
11
01
00
01
10
11
00
10
00
00
01
11
00
10
10
00
01
10
10
10
00
01
00
10
00
10
11
10
10
00
10
10
01
11
10
10
00
00
10
11
00
10
10
11
01
00
10
10
11
10
01
00
00
10
11
10
01
10
11
11
10
00
00
10
00
10
11
00
00
10
11
10
01
10
10
10
11
01
01
11
10
00
00
01
10
10
00
10
11
10
10
00
00
10
01
10
01
01
10
10
10
10
00
00
10
00
00
10
10
10
11
11
00
11
11
10
00
00
00
10
00
00
11
10
11
00
10
11
01
01
00
11
00
01
00
00
11
00
10
11
11
00
11
10
01
00
10
10
10
00
00
00
10
10
10
11
10
01
00
00
00
11
10
00
01
10
11
10
01
01
00
01
00
11
11
11
11
00
10
10
11
00
00
11
00
00
10
01
00
10
11
01
10
10
10
10
10
10
10
00
10
00
01
00
00
10
10
10
00
10
11
00
00
00
10
10
00
01
11
10
01
10
10
00
01
01
11
00
01
00
11
10
00
01
10
00
00
00
10
10
00
10
11
00
01
00
11
01
10
00
00
00
10
10
01
00
10
10
10
10
01
10
00
00
10
00
01
01
11
10
01
10
10
00
00
00
10
10
00
01
01
00
10
10
01
00
11
10
01
00
10
10
01
10
01
10
00
10
11
01
01
11
00
00
00
10
11
00
01
11
00
10
11
10
10
00
00
10
00
00
00
11
10
01
01
11
00
11
11
10
10
00
01
10
11
00
10
10
00
10
10
10
00
10
11
00
00
10
10
10
01
10
10
10
00
00
10
01
00
11
00
10
01
10
10
01
01
01
10
10
00
10
11
11
01
01
10
00
11
01
11
10
01
01
10
10
00
01
10
10
10
10
01
00
10
11
10
01
00
10
11
01
01
10
00
10
10
00
00
01
10
10
00
10
01
00
00
10
00
10
11
11
00
00
10
00
10
01
10
11
00
01
11
00
00
01
10
01
11
10
11
10
01
00
10
00
10
00
00
11
10
01
10
01
00
01
10
10
10
00
10
00
11
11
10
00
11
01
00
10
11
11
01
00
01
00
10
11
11
00
00
00
11
10
10
00
10
10
00
00
01
01
00
10
00
10
11
00
10
00
00
01
11
01
10
00
01
10
01
00
11
11
11
00
01
01
11
10
00
01
11
01
00
11
10
01
10
10
01
00
00
10
11
00
01
10
11
01
00
00
10
10
00
10
00
00
00
00
10
10
01
10
00
10
10
10
10
11
00
00
00
11
11
10
00
00
01
00
11
11
10
00
11
00
01
00
10
01
00
10
01
10
10
00
00
11
10
00
01
00
10
00
10
01
10
11
11
11
00
01
10
10
00
00
00
10
00
00
10
10
10
00
00
00
10
10
00
00
01
11
10
10
01
10
00
10
10
10
01
00
10
10
00
11
10
10
01
00
10
10
00
11
11
00
10
11
10
10
00
11
10
10
00
00
10
01
01
10
00
11
11
11
11
00
10
00
11
00
00
00
10
10
11
00
00
10
11
10
01
00
11
00
11
11
10
10
01
01
10
11
00
01
00
11
10
00
00
10
10
01
00
11
10
00
11
00
10
00
10
10
11
10
10
00
10
10
10
00
00
01
11
00
10
00
00
00
00
10
10
00
10
00
00
00
00
00
11
00
01
10
11
10
01
11
00
00
10
00
00
00
10
01
00
10
10
10
00
00
10
01
10
00
00
10
01
10
10
00
00
10
11
00
11
10
00
11
10
10
10
11
00
10
00
11
11
10
01
01
01
11
10
01
11
11
00
00
10
10
10
00
10
10
00
00
10
11
00
00
00
11
10
00
01
11
00
00
10
11
10
00
10
00
10
01
00
11
10
10
00
11
01
00
10
10
10
00
00
10
10
01
01
00
11
01
00
10
10
10
01
01
10
01
01
00
11
11
01
00
00
00
00
10
10
11
00
10
10
10
11
00
10
11
00
10
00
00
11
00
10
11
00
00
00
01
00
00
10
00
11
11
00
10
10
00
10
00
01
10
10
10
11
11
01
00
00
00
00
10
01
01
10
00
00
11
00
01
10
01
10
10
00
11
00
00
00
10
11
10
00
10
10
00
10
00
00
00
10
00
01
11
01
10
10
10
00
10
11
00
01
10
10
10
11
10
00
10
11
00
00
11
00
10
11
00
00
00
01
10
11
00
11
10
00
10
01
00
00
00
01
00
11
10
11
01
11
00
10
00
01
00
00
11
10
00
00
00
11
11
01
10
10
00
10
10
11
00
01
00
11
01
00
01
10
10
00
10
00
00
10
10
00
01
01
00
00
00
10
00
01
11
01
01
00
01
10
00
00
11
11
00
01
10
11
10
10
10
00
10
10
10
00
00
10
10
00
00
10
00
00
11
00
10
01
10
10
00
10
10
10
00
01
01
10
00
11
10
01
00
10
10
00
10
10
01
00
01
10
01
11
00
00
10
10
00
01
11
11
10
00
10
10
01
10
01
01
11
11
00
10
00
00
11
01
11
11
10
00
00
10
11
00
00
10
00
00
00
00
00
00
00
10
11
00
10
10
11
11
11
10
11
00
01
10
11
11
01
11
01
00
11
01
00
10
01
01
10
11
00
10
10
10
11
10
01
01
10
01
00
10
11
00
00
10
10
00
01
10
10
11
10
00
10
01
00
01
11
00
00
01
00
10
00
00
10
00
10
11
01
00
10
01
00
00
11
01
10
00
10
11
00
10
10
10
00
00
10
01
00
10
00
00
10
00
01
00
10
11
10
11
11
11
00
00
10
10
00
00
11
10
10
11
01
00
10
10
00
11
01
00
10
00
10
00
11
10
00
11
11
10
00
00
10
10
01
01
00
00
10
11
01
10
00
10
10
10
00
01
01
00
00
10
10
10
01
01
11
00
10
10
01
10
01
01
10
01
00
00
00
00
10
10
10
01
10
00
00
01
11
10
00
11
10
00
00
11
00
11
00
01
01
10
00
10
10
10
00
00
11
11
01
01
00
11
00
00
10
10
01
01
01
00
01
11
00
01
00
11
10
11
10
10
11
00
10
11
00
10
10
00
11
11
01
11
00
01
00
00
11
00
00
10
10
00
01
10
11
00
00
10
10
10
01
00
10
00
00
00
01
10
00
10
10
10
10
00
10
01
00
11
00
11
01
11
10
10
00
01
00
00
00
11
01
11
11
10
11
00
00
00
10
10
00
00
00
10
01
00
11
11
10
11
01
00
00
00
01
11
10
00
10
00
10
10
10
00
00
10
11
00
01
10
00
10
00
10
00
11
10
10
11
00
10
00
00
01
00
11
10
10
01
10
00
01
01
11
01
01
11
11
01
11
11
00
00
10
10
00
00
11
10
01
10
01
00
11
10
00
00
10
00
00
11
10
10
00
01
11
10
00
00
00
10
11
10
01
01
11
10
01
10
10
01
10
01
00
10
10
01
00
01
01
10
10
00
00
00
10
11
10
11
01
10
11
01
01
10
10
00
00
01
11
10
01
11
10
00
11
01
01
00
11
11
10
10
00
01
10
00
00
10
00
10
11
00
00
11
00
01
00
10
01
00
00
10
10
00
11
10
00
10
10
01
10
11
00
01
10
01
01
10
01
10
10
00
00
00
10
00
11
11
00
00
10
00
00
00
11
10
10
00
10
01
01
01
00
00
11
10
11
01
01
11
11
01
00
10
10
10
00
01
10
11
10
10
10
11
01
10
10
00
11
10
11
10
00
01
00
00
00
10
10
01
11
10
00
01
00
00
11
10
01
10
00
00
10
10
10
10
00
00
11
00
11
01
00
01
10
00
00
10
10
10
11
01
00
11
00
10
01
11
11
00
11
10
01
00
10
10
00
01
10
10
01
00
01
10
10
01
10
11
00
10
11
10
10
00
10
10
00
00
10
10
10
10
00
11
10
10
01
00
11
11
00
00
01
01
00
00
11
10
10
00
00
10
11
01
10
00
00
10
11
10
10
01
10
11
00
00
00
10
11
10
10
01
00
11
10
00
10
00
10
11
10
01
01
00
10
11
01
10
11
10
00
10
10
00
10
10
00
00
00
00
10
01
10
00
10
00
01
00
11
10
01
10
00
00
01
00
11
10
01
11
01
11
10
00
00
11
11
01
11
10
00
01
00
00
00
00
11
00
00
11
10
00
00
11
01
01
00
11
00
00
11
01
01
10
11
00
10
00
00
10
10
11
00
00
01
11
00
01
10
00
01
01
11
00
01
00
01
10
00
10
10
10
01
10
00
01
10
10
11
00
01
10
10
00
01
10
01
00
10
10
10
10
00
10
11
10
00
00
00
11
11
00
00
10
00
00
10
10
11
00
00
11
01
00
10
00
10
10
00
11
11
00
10
01
00
00
10
01
00
11
11
01
01
10
00
00
00
11
10
01
00
11
11
00
01
10
01
10
00
00
10
10
00
00
00
01
11
10
10
00
01
10
10
00
10
10
00
11
11
01
01
10
00
00
10
10
00
00
11
00
11
10
11
10
01
11
00
11
10
01
00
11
10
00
00
10
11
01
01
11
10
10
00
00
01
10
11
00
10
11
00
10
01
10
10
00
10
10
10
10
00
01
00
00
00
00
10
01
00
01
10
10
11
11
10
10
10
01
00
11
10
00
00
10
10
10
00
01
00
00
00
01
00
10
10
00
10
11
00
10
10
11
11
00
00
11
00
01
00
00
10
00
00
10
11
00
01
11
01
00
10
10
01
00
11
00
10
10
00
00
00
10
10
00
01
01
11
10
10
00
10
01
10
10
00
10
10
00
10
11
00
11
10
10
00
00
00
10
00
10
00
10
00
00
10
11
01
10
11
01
10
10
11
10
01
00
10
10
01
10
00
10
11
00
00
11
11
10
11
01
00
01
10
10
01
00
10
10
00
00
10
00
11
10
01
10
11
00
10
10
01
01
00
00
11
00
11
11
00
10
01
10
11
10
11
00
10
00
00
10
10
00
00
11
10
01
10
00
10
10
01
10
00
00
00
10
10
00
00
10
10
00
00
11
00
00
00
00
01
00
11
10
00
00
10
10
00
00
10
00
11
01
00
00
10
10
00
10
10
11
00
01
00
11
01
00
10
00
01
11
10
00
11
10
11
10
01
10
00
00
00
10
11
10
00
00
00
11
10
10
11
00
11
10
10
00
01
10
10
01
00
00
00
01
10
10
11
11
01
01
00
10
10
11
10
01
00
11
01
10
11
01
00
10
10
01
01
10
10
01
11
10
00
01
00
00
10
01
10
10
00
11
11
10
01
00
00
10
11
01
10
11
11
00
01
00
10
10
01
01
10
10
00
00
00
01
10
10
10
00
10
00
10
10
00
10
00
00
01
00
01
10
01
10
00
00
00
01
11
10
00
00
00
10
10
00
10
00
00
10
00
10
00
00
00
00
01
00
00
00
01
10
01
10
10
11
00
00
11
00
01
00
00
10
01
11
01
11
10
01
11
00
10
00
10
10
10
10
10
00
00
00
11
11
10
00
00
10
00
01
00
10
11
11
10
01
01
11
01
01
00
01
00
00
10
10
00
10
11
01
00
10
00
01
10
11
00
01
10
00
01
11
01
01
11
10
01
00
11
01
00
10
11
10
00
01
01
11
01
00
00
00
01
00
01
10
10
00
01
00
10
01
01
10
00
10
11
10
01
10
11
10
01
00
10
00
11
11
10
00
00
11
10
11
10
00
10
10
00
01
10
10
00
10
00
00
00
00
10
10
00
10
00
10
11
11
00
10
10
00
01
00
10
00
11
11
10
00
10
01
00
00
00
10
10
00
10
01
01
00
10
10
00
11
10
11
01
10
01
11
01
01
10
10
10
01
10
10
01
01
00
10
00
01
00
00
11
10
01
00
00
11
10
00
10
10
01
00
11
00
00
10
01
10
01
01
11
11
00
10
00
00
10
10
01
11
11
01
10
11
00
00
10
00
00
00
10
10
00
00
10
00
11
11
00
01
10
00
00
10
10
10
00
00
10
00
00
10
10
00
10
10
01
00
01
00
00
00
11
10
11
10
01
00
10
00
01
10
11
01
00
01
00
10
11
01
00
10
10
01
00
01
10
10
11
01
10
01
10
11
11
10
01
00
01
11
01
00
11
10
10
11
00
10
11
00
01
00
10
11
01
00
11
00
01
10
11
00
11
10
00
00
10
01
00
10
10
00
00
10
00
11
10
10
11
10
00
01
00
00
00
10
10
00
00
00
10
10
00
10
10
10
10
00
00
00
10
10
01
10
11
10
01
10
01
11
00
11
10
00
00
00
10
10
01
01
00
01
10
00
01
10
10
01
00
11
10
11
01
10
10
00
10
10
11
01
01
10
10
00
00
01
10
10
01
00
00
10
10
00
00
11
10
11
11
00
10
00
10
00
01
10
10
00
00
11
01
00
00
10
11
00
01
00
00
00
10
00
10
10
00
10
01
10
10
00
11
11
10
00
00
01
11
10
00
10
00
00
01
10
10
10
00
00
01
00
00
00
10
01
01
01
00
10
11
00
11
00
00
10
10
01
10
00
00
01
00
10
10
11
10
00
01
10
00
10
00
00
00
01
01
10
10
10
00
10
10
00
00
10
11
11
01
10
00
10
10
10
00
00
10
10
11
11
01
10
00
00
10
00
00
11
01
10
11
11
10
11
00
00
00
11
00
11
11
01
10
10
10
00
00
11
10
11
10
01
10
11
00
00
00
10
11
01
10
11
11
01
11
11
11
11
00
00
01
10
10
00
00
01
01
10
00
00
11
11
01
00
10
10
11
11
00
00
10
00
11
10
01
10
01
10
00
00
11
00
00
00
10
10
00
01
00
10
10
00
10
01
00
00
10
01
10
00
01
10
10
01
01
10
00
01
10
00
00
00
00
10
10
00
11
01
10
11
00
00
10
00
00
01
01
11
00
10
11
01
00
10
11
00
00
00
10
10
00
00
00
10
00
00
01
00
10
11
11
00
01
11
00
00
10
10
00
10
11
10
00
10
00
01
00
10
11
00
00
01
00
10
11
11
10
01
10
00
10
01
01
10
10
00
11
00
00
10
10
11
00
11
01
11
00
00
10
10
00
00
00
10
10
00
01
00
00
00
10
10
10
10
01
00
10
11
10
10
11
10
01
00
00
00
10
10
10
00
00
01
10
01
00
01
01
10
11
10
01
01
11
11
10
01
01
01
00
10
11
10
00
00
10
10
10
01
11
01
10
10
00
11
00
00
00
10
10
10
11
01
10
01
10
00
10
10
10
00
00
10
00
00
11
00
11
10
00
10
00
00
11
10
00
00
00
11
00
00
01
01
00
10
01
10
10
01
00
10
11
01
01
10
10
00
10
01
10
11
00
00
11
10
10
00
10
11
11
00
00
11
10
00
11
00
10
01
01
10
11
00
10
10
00
11
10
10
00
10
00
00
10
00
00
00
11
10
10
10
00
01
11
11
10
00
00
00
00
00
11
10
00
00
01
01
10
00
10
01
00
10
00
10
00
10
01
11
10
10
11
00
11
00
00
10
00
10
10
10
01
01
11
10
10
00
00
10
00
10
10
01
11
10
10
00
10
00
00
10
10
00
10
10
00
00
11
00
10
11
10
01
10
00
01
00
11
00
00
11
11
00
00
10
10
10
11
11
00
00
00
10
10
10
00
00
10
10
11
11
00
00
10
01
10
00
10
01
00
10
01
10
10
01
10
01
10
01
10
10
00
10
10
10
11
01
10
00
11
11
10
01
01
10
00
11
10
01
00
10
10
00
11
11
11
00
00
10
01
11
00
01
10
11
11
10
01
10
10
01
00
11
01
11
00
10
10
00
00
11
11
00
10
10
01
11
01
10
10
01
10
11
01
00
11
11
00
00
00
00
10
00
00
11
01
00
01
11
00
00
00
10
10
01
00
01
00
00
10
10
00
10
10
00
00
10
10
11
01
10
10
10
11
00
00
11
10
01
01
00
10
00
00
10
11
00
10
10
10
10
11
10
10
11
10
01
10
00
00
11
10
00
00
10
00
01
00
11
10
11
10
10
10
00
00
10
10
00
10
10
11
10
10
00
00
11
00
01
10
10
00
00
00
10
10
10
10
01
10
11
00
10
11
10
10
10
10
01
00
00
00
10
11
00
10
00
10
00
01
10
00
01
00
01
01
11
11
10
01
01
11
01
01
11
10
00
01
10
00
10
01
01
01
00
10
10
00
10
00
11
10
01
00
01
01
01
00
10
10
10
00
00
10
11
00
10
10
10
00
00
00
01
01
00
01
10
11
00
10
11
10
01
00
11
10
00
01
11
01
00
11
10
00
10
00
10
10
00
10
10
11
11
00
11
10
00
10
10
00
10
10
00
11
11
01
10
11
00
01
11
10
00
00
01
10
01
00
10
10
00
10
10
00
00
01
10
01
00
11
10
11
11
00
01
10
00
00
01
10
10
01
00
10
10
00
11
11
00
10
10
11
10
11
00
01
10
00
10
10
11
10
10
11
10
00
00
01
11
00
01
00
11
00
00
01
00
11
10
00
00
00
11
10
01
11
10
01
10
01
10
00
01
10
01
01
10
11
11
00
01
11
10
10
10
01
01
01
11
00
00
10
10
00
10
10
00
10
01
00
00
01
00
10
10
00
00
10
10
00
01
10
00
01
00
10
00
11
00
10
10
00
11
10
11
01
00
00
01
10
10
01
00
00
00
00
10
10
00
11
11
00
10
01
01
00
00
11
10
01
11
00
11
11
01
00
00
10
10
11
00
10
10
00
00
10
01
11
10
00
11
11
10
00
00
10
00
01
10
00
10
11
11
10
00
10
00
01
00
11
10
01
11
00
11
01
01
10
00
00
00
10
10
00
10
10
10
10
00
01
11
01
01
01
11
00
10
00
11
10
00
01
10
11
10
00
11
00
01
00
00
10
10
11
10
01
00
10
11
00
00
10
10
00
00
10
01
01
00
11
10
11
10
01
00
10
00
01
11
11
11
10
11
10
11
01
00
10
10
10
00
00
10
00
11
10
00
11
00
11
10
11
00
10
11
01
11
01
10
00
00
11
10
01
01
11
11
01
00
00
11
10
01
00
00
11
10
01
00
00
00
10
10
10
10
10
10
00
10
10
00
00
00
01
00
11
01
10
10
10
01
00
00
10
00
11
10
00
11
11
10
01
00
11
10
11
10
00
10
11
00
01
00
00
10
11
01
00
01
10
11
00
10
10
10
10
00
10
11
00
10
01
00
01
10
11
10
00
01
00
00
11
01
01
10
01
10
11
01
00
10
10
00
00
11
00
00
01
10
00
10
00
00
11
00
01
10
10
11
11
00
00
10
11
00
01
00
10
10
01
10
10
01
00
11
10
01
01
10
00
00
10
11
11
00
01
10
01
01
00
11
10
10
00
00
01
11
01
01
10
10
00
10
00
00
11
10
00
00
01
00
10
00
00
11
01
01
11
00
10
01
10
10
11
10
01
00
10
00
10
10
10
00
00
11
00
11
10
10
00
10
10
10
00
00
11
11
00
11
10
10
00
10
00
00
10
10
01
11
00
10
00
01
00
01
10
10
11
01
11
01
00
10
11
01
10
10
00
00
00
10
10
00
10
10
00
10
10
00
10
00
01
00
11
00
01
10
10
11
01
11
10
00
01
11
10
00
10
11
10
01
00
10
10
10
01
10
00
01
00
10
10
00
01
10
00
11
10
00
00
00
01
11
11
00
01
00
10
10
00
00
11
10
10
10
10
11
10
01
11
10
00
01
11
01
01
00
11
10
10
00
00
10
00
10
11
01
11
11
01
11
11
11
11
11
01
00
10
10
11
00
01
01
10
10
10
00
11
00
01
10
10
10
01
01
10
11
00
00
00
10
10
10
00
10
10
00
00
11
10
00
10
00
10
01
11
10
10
00
11
11
00
01
10
10
01
11
01
00
10
10
00
01
11
10
01
10
10
10
01
01
01
01
00
11
10
00
00
10
10
01
00
10
00
00
11
11
11
00
11
11
01
00
00
01
10
10
00
10
11
11
00
01
00
10
10
00
10
10
00
00
10
01
10
10
01
00
00
11
10
10
10
00
10
10
01
00
00
00
10
11
00
01
00
11
00
10
00
01
10
01
00
01
10
11
00
01
11
10
10
10
01
11
10
00
10
10
01
10
00
01
00
00
10
10
01
10
00
01
10
10
00
00
10
00
10
10
10
01
00
11
00
01
00
00
00
10
11
10
11
00
01
00
10
10
11
00
01
01
11
00
11
00
10
10
11
01
01
00
10
00
10
01
00
10
10
11
11
01
10
00
00
11
11
11
00
00
10
11
00
01
11
11
11
10
11
00
00
00
10
11
01
00
10
00
00
11
00
01
00
10
00
00
11
10
00
00
00
11
10
10
11
10
11
11
00
01
00
00
11
10
10
01
00
10
01
00
01
10
11
00
10
00
10
00
00
11
10
10
01
00
01
10
00
11
00
00
00
00
11
10
11
00
00
10
10
10
00
00
00
10
01
10
10
00
11
10
00
10
10
00
00
00
00
10
10
11
10
00
10
10
01
10
10
00
01
10
00
10
10
00
01
10
11
00
00
10
01
01
11
00
00
10
11
00
01
10
10
10
10
00
01
11
11
10
01
10
10
10
11
01
01
10
10
01
10
10
01
10
10
01
01
00
00
10
10
00
11
00
10
11
01
00
11
00
00
11
10
00
00
00
10
00
10
01
01
11
10
11
11
10
10
01
00
00
11
00
00
10
11
10
10
00
10
10
01
10
00
10
11
00
00
00
11
00
01
10
00
00
10
00
11
11
00
00
10
10
10
10
00
10
01
00
10
11
10
11
10
10
01
10
00
10
00
10
10
11
10
10
11
10
00
00
10
00
01
10
10
10
00
11
00
11
00
10
11
00
01
10
00
10
11
10
00
01
00
10
01
10
10
11
11
00
00
01
11
00
00
00
00
11
10
00
10
01
10
10
00
00
01
00
10
00
00
10
10
10
00
01
01
10
11
10
00
01
10
10
11
10
01
00
00
10
01
00
11
00
00
10
00
10
11
10
11
11
10
10
01
00
11
10
01
00
10
10
11
00
00
11
11
01
00
10
10
01
00
00
10
10
00
10
10
11
01
00
10
10
01
00
00
01
00
00
10
10
00
00
10
10
10
01
11
10
00
01
00
00
01
11
11
00
10
10
10
00
10
10
00
10
01
00
11
10
01
00
00
10
00
10
10
00
11
00
10
01
01
11
10
10
00
10
00
00
10
01
01
10
00
00
10
10
00
10
11
00
00
00
11
00
11
10
00
11
10
01
10
10
00
11
00
00
01
00
10
10
10
10
00
11
10
10
10
10
10
10
10
10
11
01
00
10
01
10
00
00
10
00
00
11
11
11
00
10
11
10
10
11
00
00
00
10
00
00
11
10
10
10
00
10
01
00
10
10
11
10
00
00
00
01
11
00
01
10
01
10
10
00
00
10
10
10
00
10
10
10
01
00
11
11
11
00
00
00
01
10
11
01
01
01
11
00
11
10
00
00
01
10
11
00
10
10
10
10
00
10
10
00
11
11
11
10
10
00
00
10
10
11
11
01
10
11
00
10
00
00
10
01
11
10
01
11
00
00
10
11
10
10
00
11
11
00
01
00
11
10
10
11
10
00
00
10
01
00
10
01
00
01
00
11
10
10
01
01
00
10
10
11
10
10
00
11
00
00
01
10
00
00
01
00
10
01
01
00
10
01
01
10
01
10
01
01
10
10
00
10
11
10
01
01
01
00
10
11
00
10
11
11
10
00
10
00
00
01
01
10
10
01
00
10
11
10
01
00
10
00
00
00
11
10
01
10
00
10
10
00
01
00
10
11
01
10
01
01
00
10
11
01
00
00
11
01
00
00
10
10
01
10
00
10
10
01
10
00
11
00
11
00
01
10
00
10
10
10
00
10
10
00
00
10
00
11
11
00
10
11
01
00
11
10
00
10
11
00
01
11
11
00
01
00
10
10
10
10
10
10
01
10
00
11
01
01
10
00
00
11
11
01
10
10
10
10
10
10
00
00
10
10
11
00
00
11
00
00
10
10
01
10
00
10
10
00
10
00
00
10
10
11
10
00
00
00
10
10
01
01
10
01
10
11
00
00
10
11
11
00
00
10
10
00
10
01
01
11
11
11
11
10
10
00
00
10
10
01
00
10
10
11
00
00
00
11
00
01
11
00
01
10
10
01
00
10
01
00
00
11
11
00
00
10
10
10
11
00
00
10
10
11
00
11
00
00
00
01
11
00
01
10
11
10
11
11
10
10
10
11
00
00
11
11
01
00
10
11
00
00
10
11
00
00
10
10
00
01
10
00
00
10
10
10
10
00
00
00
00
01
01
10
11
10
10
01
01
11
01
10
10
10
10
01
01
10
10
01
00
10
00
00
11
00
01
11
10
01
01
10
01
00
11
10
01
00
10
00
11
10
10
00
00
00
11
11
10
11
11
10
01
10
00
11
00
01
11
00
01
00
00
10
01
01
11
10
10
00
00
00
00
00
10
10
00
00
00
11
00
00
10
10
10
11
11
11
11
10
10
11
01
01
10
11
01
01
10
01
01
01
10
11
00
00
10
11
11
00
10
00
01
10
00
00
10
11
10
10
10
00
11
00
11
01
10
10
10
00
00
00
11
10
11
10
10
01
00
00
00
11
10
10
10
01
01
00
00
10
11
00
11
11
01
00
10
10
11
00
00
10
10
00
01
00
10
10
01
00
10
00
00
10
10
10
00
00
11
00
11
00
00
10
10
00
00
01
01
11
11
00
01
01
11
01
10
11
10
01
00
10
11
00
00
00
01
11
11
01
11
11
00
00
10
01
10
10
00
00
10
10
00
10
10
10
10
10
00
00
01
00
11
10
00
11
01
00
10
11
00
01
11
00
00
10
10
10
10
00
11
01
10
00
01
10
10
00
00
10
10
00
10
10
11
01
10
10
01
00
01
01
00
11
10
01
11
00
01
10
10
00
01
10
10
11
00
00
10
00
00
00
00
10
00
00
10
10
00
10
01
10
11
01
11
00
10
10
11
11
01
01
11
11
00
10
10
01
00
10
10
00
01
10
00
01
00
10
01
11
11
10
00
10
00
10
10
00
10
00
00
10
01
00
00
01
00
01
10
01
00
11
10
11
10
01
10
10
10
00
10
10
10
00
11
00
11
10
10
10
00
00
11
10
01
00
01
10
10
00
10
11
01
11
11
10
01
00
00
10
00
00
10
10
01
11
10
01
00
11
10
00
01
11
10
00
00
01
01
10
10
10
11
00
10
00
01
10
10
11
11
10
10
00
01
00
00
01
10
11
00
10
10
00
01
10
10
00
00
10
10
00
01
00
00
10
00
10
00
10
10
00
00
11
00
11
00
01
11
11
10
01
00
10
00
00
10
00
00
01
00
10
00
10
10
10
01
01
10
11
00
00
11
00
00
10
10
00
01
00
00
10
10
00
10
00
00
10
00
11
01
01
10
11
10
00
01
11
11
01
00
10
00
01
00
10
10
01
00
01
10
00
11
10
01
00
00
10
10
10
01
01
10
00
10
10
11
00
00
10
10
01
00
00
00
10
10
10
10
01
00
11
00
00
10
10
10
00
01
10
11
10
01
11
11
10
00
11
01
11
11
00
01
01
11
00
11
11
10
00
10
11
00
11
01
10
10
01
11
00
10
10
00
01
10
00
11
00
11
10
10
00
00
01
01
00
11
10
11
11
11
10
00
10
10
10
00
01
01
10
10
11
10
10
00
01
10
00
00
01
10
10
10
01
00
01
10
10
00
10
00
11
00
01
10
10
01
00
01
11
10
01
00
10
10
00
00
00
01
11
11
11
00
00
00
00
01
11
10
00
10
11
11
11
10
10
10
10
01
00
10
00
00
10
10
01
11
00
00
00
10
01
01
00
00
10
11
10
11
10
01
10
00
10
10
01
10
10
00
11
11
00
00
10
10
00
01
10
11
10
01
00
10
11
00
10
11
10
00
01
01
11
10
10
00
11
01
00
10
10
00
11
10
10
11
10
01
00
00
00
00
01
11
00
00
00
00
11
00
11
11
10
01
01
10
10
10
00
10
00
01
00
01
00
11
00
01
00
10
11
10
10
00
00
10
00
00
01
10
11
00
10
11
10
11
00
01
10
10
00
10
01
01
00
00
10
10
10
00
00
10
00
10
00
00
01
10
11
01
00
10
11
00
10
10
11
00
00
00
10
10
00
11
01
00
10
10
11
11
01
11
00
00
00
00
10
01
01
01
10
10
00
00
10
11
00
01
00
11
01
10
00
00
01
10
00
00
10
10
01
01
00
10
00
00
10
11
00
11
11
11
10
10
11
00
10
11
01
01
11
00
00
00
00
00
00
11
10
10
00
11
11
00
00
10
00
10
10
11
00
10
11
10
01
01
00
11
11
01
01
11
11
10
01
11
11
10
00
10
00
01
10
10
10
10
00
10
10
01
01
00
00
01
00
00
10
00
10
11
10
10
00
00
00
01
10
11
00
01
10
10
11
01
01
00
10
10
10
00
00
01
11
10
10
10
11
01
00
00
10
00
11
01
01
11
11
10
00
00
10
00
01
10
11
00
10
00
01
10
10
10
10
00
10
10
00
10
01
00
00
11
00
00
00
00
00
10
10
11
10
10
11
00
11
00
11
01
01
10
10
11
00
00
00
01
11
10
10
10
00
10
01
01
11
00
11
10
11
01
10
00
00
00
10
00
01
11
11
00
00
00
10
10
10
10
00
10
00
00
00
00
10
10
00
00
01
11
00
00
11
11
10
11
10
00
00
11
11
11
00
00
11
01
00
11
10
00
11
11
10
01
11
10
00
00
10
00
10
11
01
11
10
00
10
00
01
10
00
01
10
00
00
10
11
01
01
00
10
10
10
00
00
11
00
01
00
10
00
00
00
11
10
00
10
10
11
00
11
10
00
10
01
00
10
10
01
11
10
00
00
00
11
00
11
10
11
10
01
11
01
00
10
10
00
10
11
00
10
10
00
00
10
11
10
00
00
10
10
10
00
01
01
11
10
00
01
11
10
11
00
00
10
01
11
11
00
10
10
11
00
11
10
01
10
10
00
11
10
01
10
11
00
01
00
01
11
10
11
01
00
10
10
11
01
00
10
10
00
01
00
01
10
10
00
10
11
00
10
10
10
00
00
10
10
00
00
10
00
10
10
10
11
00
01
10
10
00
10
00
00
00
11
00
00
11
10
00
10
10
00
10
10
01
10
11
00
00
10
00
00
01
00
11
10
10
00
00
00
10
00
00
10
10
00
10
11
01
10
10
00
10
00
10
10
11
00
11
10
01
00
10
11
01
00
00
10
11
10
10
01
01
11
01
01
01
10
11
01
10
01
10
10
10
00
01
00
00
10
01
00
11
00
10
10
00
00
10
10
01
10
10
10
10
01
10
11
10
10
01
10
01
00
00
10
00
10
00
10
10
11
00
01
10
11
00
10
00
00
10
11
01
01
10
10
10
00
00
01
00
10
00
11
10
00
10
00
10
00
11
10
10
10
10
10
10
00
00
01
10
01
10
10
11
11
00
01
00
11
10
10
00
11
11
00
00
01
11
00
10
11
00
00
00
00
10
10
00
10
10
00
01
00
00
10
00
00
01
00
10
10
10
10
00
11
11
10
10
00
11
00
10
00
01
10
01
00
00
10
11
00
10
01
00
11
10
01
00
11
11
10
10
00
10
11
10
00
01
00
11
10
10
10
01
10
01
01
10
10
10
01
00
10
11
00
10
11
00
01
11
10
01
00
10
10
00
11
00
01
10
00
11
10
01
10
10
11
01
01
00
10
00
00
10
11
11
00
00
00
10
01
01
11
11
11
10
00
10
00
01
11
10
00
10
01
10
00
10
00
11
01
11
00
00
11
10
10
10
00
01
10
01
10
11
01
00
01
01
11
10
10
01
10
10
00
00
10
10
01
00
01
11
00
10
00
10
00
00
11
10
11
00
01
10
00
01
10
10
01
10
10
10
10
10
11
10
00
11
10
00
00
10
11
10
00
01
00
11
00
00
11
11
00
10
00
11
10
01
01
11
11
00
11
00
11
11
00
10
11
00
00
10
11
00
00
10
10
10
00
11
01
11
00
00
10
10
00
11
10
00
10
10
00
00
10
10
00
00
11
10
00
00
00
10
00
10
10
00
01
00
11
01
01
01
10
01
10
10
00
10
01
10
00
00
00
10
00
01
00
01
01
11
01
10
11
00
10
11
00
00
10
00
00
00
01
10
11
10
11
01
10
00
10
10
01
10
00
00
10
11
00
00
00
10
01
10
00
11
10
01
00
00
01
10
10
10
00
01
11
01
11
00
00
00
00
00
00
10
10
10
01
00
11
10
10
01
00
00
00
00
11
10
01
01
11
10
11
11
10
10
01
10
10
00
00
10
01
00
10
10
00
00
00
00
10
10
10
00
10
11
01
01
11
11
10
10
00
10
00
00
11
11
11
10
01
10
01
10
10
00
00
00
10
10
00
10
10
10
00
00
01
00
10
10
00
11
10
10
00
10
11
00
00
10
00
00
00
11
11
10
10
10
01
10
10
00
00
00
00
11
00
10
11
10
10
00
00
10
00
00
00
00
10
00
10
00
11
11
11
01
11
10
00
10
00
10
01
00
11
00
00
00
11
11
00
00
00
00
10
00
01
10
10
10
10
11
01
00
10
10
10
10
00
00
11
01
10
10
00
00
00
01
00
10
01
00
00
01
11
00
10
11
01
00
00
00
10
11
11
10
01
11
11
00
00
00
11
10
11
00
00
11
01
01
00
11
11
11
10
10
10
01
10
10
00
10
01
00
00
01
11
00
00
01
11
11
10
11
00
01
00
10
10
00
10
10
00
01
10
01
10
00
11
01
00
10
11
10
10
10
00
10
00
01
00
00
10
00
10
01
10
10
00
10
10
00
00
10
00
01
10
00
10
00
00
00
01
11
11
10
11
01
10
11
00
11
10
01
00
00
01
01
00
10
00
01
10
10
11
10
00
11
00
00
10
10
01
10
00
00
01
11
00
11
10
00
00
10
11
10
11
11
00
00
10
11
00
11
10
00
00
01
00
11
01
01
01
00
01
11
10
00
01
00
10
10
00
11
11
10
10
00
10
10
10
10
01
00
00
00
11
00
00
00
10
10
10
00
01
00
10
10
00
10
00
00
00
10
00
00
01
10
01
01
01
11
00
00
11
10
10
00
10
00
00
10
11
10
11
01
11
10
00
10
00
10
00
10
10
00
01
00
00
11
10
11
10
10
00
00
11
10
01
10
11
11
01
00
01
01
10
11
11
01
00
01
10
00
10
11
01
00
01
10
10
00
10
10
10
00
10
10
01
00
01
10
10
11
00
11
00
01
11
10
10
00
00
11
00
11
10
00
00
11
01
11
00
11
00
01
10
11
10
00
10
01
01
10
11
00
11
10
01
11
10
11
00
01
01
00
10
01
10
10
01
00
10
11
00
00
10
01
11
11
11
00
01
11
11
10
11
00
00
10
10
00
01
00
11
10
10
01
10
11
00
00
10
11
11
10
00
00
10
10
01
10
00
00
11
10
00
00
10
11
00
01
11
00
10
11
10
10
11
01
00
00
10
11
10
00
01
00
01
10
10
00
11
10
01
10
10
00
00
00
10
10
00
10
00
01
10
11
01
10
01
10
00
00
00
00
00
11
10
00
00
11
10
00
00
10
11
00
00
00
10
00
00
11
01
10
11
10
01
00
10
10
10
10
00
01
10
01
01
11
00
00
10
10
00
00
10
00
00
00
10
10
10
11
10
10
10
10
10
01
00
10
11
10
10
00
10
11
00
10
01
11
00
01
10
10
10
10
10
11
10
01
10
00
00
10
10
10
10
00
10
01
01
10
01
00
00
10
00
00
10
11
00
00
00
10
10
11
00
00
10
11
01
10
00
00
10
10
11
00
11
01
00
10
11
11
10
00
10
10
11
00
00
00
11
00
01
11
11
00
01
10
00
00
10
00
01
00
10
00
00
00
10
10
11
00
01
00
00
00
00
11
10
00
11
00
00
11
10
00
10
10
01
01
00
00
00
01
00
01
11
10
00
01
10
11
00
01
00
10
00
10
10
00
10
10
01
00
00
00
01
11
01
10
01
00
00
10
10
10
01
01
01
10
11
00
00
10
10
00
00
10
11
11
00
11
11
10
00
11
01
01
10
10
10
10
01
11
10
00
00
00
00
00
00
10
10
11
10
10
11
11
00
00
10
01
01
00
00
10
00
10
10
10
10
00
01
11
11
01
00
00
00
01
00
10
11
00
00
00
01
10
10
10
00
11
10
00
10
11
00
10
01
01
10
00
00
00
10
11
10
11
01
00
00
11
00
01
01
10
11
00
10
11
10
10
01
01
01
10
00
00
10
11
01
11
10
00
00
10
11
00
01
11
11
00
10
01
00
00
10
10
01
00
11
01
10
11
00
01
00
00
11
11
10
01
01
10
01
10
11
10
00
00
00
10
10
00
01
00
10
10
00
10
10
00
11
00
00
00
10
11
10
01
00
11
10
01
10
00
00
10
00
01
10
10
10
01
00
01
11
11
01
10
01
00
00
11
11
01
01
11
10
10
00
10
01
00
10
10
00
10
10
00
00
10
01
11
01
10
10
10
10
01
10
00
00
00
01
01
01
10
10
00
00
10
10
10
01
00
01
11
10
00
10
00
00
01
00
10
10
10
00
01
10
11
01
10
00
11
01
11
00
00
11
01
00
10
11
00
00
01
00
01
01
10
10
01
00
10
00
00
11
00
00
10
10
01
00
00
11
00
00
11
01
00
10
11
01
10
00
00
10
00
10
10
00
10
10
10
11
00
00
00
01
00
01
11
00
10
10
01
10
00
01
11
00
00
00
10
01
11
11
00
00
11
01
00
11
11
00
00
00
10
10
10
10
00
01
10
01
10
10
00
10
10
01
00
10
11
00
00
10
11
00
00
10
11
00
11
00
11
01
00
01
01
10
10
10
01
10
10
00
01
01
10
11
00
10
00
11
00
01
11
10
10
10
10
01
00
10
01
10
10
01
10
10
10
01
00
11
10
01
00
00
00
11
11
01
11
10
01
10
01
00
00
10
10
00
01
11
10
10
01
00
01
00
00
10
10
00
01
00
10
11
10
10
10
01
00
01
01
10
10
01
00
00
10
10
00
00
10
10
11
00
10
00
01
10
00
00
00
00
01
10
11
00
10
00
00
01
10
11
01
00
10
00
00
00
10
11
00
01
11
10
10
00
00
01
01
10
10
10
00
00
11
01
10
00
00
10
00
00
00
00
10
10
00
10
10
10
01
10
10
01
10
10
10
00
01
11
10
00
10
11
10
10
10
00
00
00
00
10
00
00
10
10
00
00
01
01
00
01
01
01
10
01
00
11
10
10
10
00
00
11
00
00
00
10
01
00
10
10
01
00
11
10
11
01
00
01
00
01
10
10
00
10
00
00
10
10
10
11
00
11
00
11
00
10
00
00
00
10
10
00
00
10
00
00
10
10
00
01
11
01
00
10
00
01
10
00
10
10
10
00
11
00
01
11
00
01
00
00
10
11
00
01
00
01
01
10
01
11
01
00
00
11
11
11
00
10
11
00
01
00
00
10
10
10
10
01
01
10
10
00
01
01
01
10
10
01
00
00
10
10
00
00
11
00
01
00
01
00
10
01
10
11
01
00
10
10
00
10
00
10
11
00
10
10
00
11
10
00
00
10
10
10
01
00
11
11
00
00
10
00
10
00
11
11
01
01
10
11
00
01
10
11
00
01
10
11
01
00
10
11
01
01
01
01
10
00
10
00
00
01
10
10
10
10
00
11
00
10
01
00
10
10
10
01
00
10
11
00
10
10
11
10
10
00
00
00
10
00
10
10
10
11
10
00
00
00
10
00
01
01
11
10
11
11
00
00
11
10
00
01
11
00
10
10
01
10
01
00
11
11
10
10
10
00
10
00
01
00
11
01
00
00
00
10
11
00
00
00
10
10
00
10
10
00
10
10
01
01
10
00
10
00
10
00
00
00
10
00
10
10
01
01
00
00
10
01
00
00
00
10
10
10
01
00
10
11
11
00
11
01
00
00
10
11
00
10
10
10
10
10
11
10
01
00
11
10
00
10
10
00
10
10
00
01
00
00
01
11
01
00
10
00
10
00
00
00
11
10
11
01
00
00
10
10
10
10
00
00
01
00
00
00
10
10
11
01
01
00
11
01
00
00
00
10
00
11
10
00
11
10
00
00
00
10
10
10
01
00
10
11
00
11
10
00
10
11
01
00
01
10
10
00
00
10
00
01
00
10
10
01
00
11
00
11
10
01
11
00
00
11
00
10
11
00
10
11
11
01
00
00
11
10
00
00
00
10
10
01
01
10
10
11
01
00
00
10
01
01
00
11
10
10
00
10
00
11
01
01
01
10
01
11
01
10
01
00
10
10
01
00
10
00
10
00
11
01
01
11
00
10
10
00
00
01
11
01
01
01
11
00
01
00
10
10
00
00
11
00
11
10
10
00
11
00
00
11
10
11
10
00
01
11
01
10
10
01
10
00
00
10
10
10
00
00
11
01
01
11
00
00
10
10
01
10
00
00
10
00
10
10
11
10
00
01
01
00
01
10
11
00
00
01
10
10
00
10
10
10
00
01
10
01
10
00
10
00
00
10
10
00
10
11
01
10
10
01
11
00
11
11
10
10
01
00
10
01
00
10
11
10
00
00
10
00
00
00
11
10
01
10
11
00
00
00
11
01
00
00
11
10
00
00
10
00
01
10
10
00
00
10
10
11
01
00
10
11
10
00
01
10
10
10
00
00
01
01
11
00
11
00
00
10
00
10
11
11
01
00
00
00
10
01
10
10
00
01
11
00
11
10
11
01
01
00
10
00
00
00
10
11
01
00
10
00
11
10
11
01
01
11
01
11
11
11
00
10
10
00
00
10
10
00
01
11
01
00
11
11
10
11
10
00
10
00
00
11
00
00
10
10
00
01
01
11
10
10
10
11
11
00
00
10
10
00
11
11
10
01
10
00
00
00
00
01
10
10
10
00
01
00
10
10
00
10
11
00
01
10
00
01
00
11
01
00
10
10
10
10
01
01
00
01
10
10
00
00
10
11
00
00
10
01
10
01
00
11
00
10
10
00
01
01
11
00
10
11
10
00
00
11
10
10
10
00
11
00
00
00
00
11
10
00
10
11
00
10
00
01
00
11
11
00
10
00
01
01
11
10
11
11
00
11
10
11
00
10
10
10
00
00
10
10
10
01
10
01
10
01
01
00
00
01
10
11
11
01
10
10
00
00
10
11
00
01
11
10
10
10
00
00
00
10
00
00
10
10
00
11
11
10
10
00
11
01
00
11
10
10
00
11
10
00
11
11
00
10
10
00
11
10
10
00
01
01
00
01
00
00
11
00
11
10
11
00
11
10
11
00
00
10
00
11
00
10
10
10
11
10
00
00
11
10
10
00
00
01
11
11
00
01
10
10
10
01
11
11
00
00
01
10
11
10
10
00
10
00
00
10
10
11
00
00
00
10
10
10
10
01
01
00
00
01
01
10
10
00
00
00
01
10
10
00
10
00
10
00
11
10
01
10
00
10
10
00
01
00
11
00
01
10
11
10
10
10
10
00
01
10
01
00
01
10
00
00
10
00
00
10
10
00
11
11
00
10
00
10
00
01
10
10
01
01
01
00
10
11
00
00
00
00
11
10
11
11
10
00
10
01
10
00
01
10
01
00
00
01
00
00
11
11
10
11
00
01
10
01
00
10
01
11
00
01
00
10
00
00
10
10
01
00
10
11
01
00
00
00
10
10
00
00
11
10
01
00
00
00
10
01
01
01
00
10
00
10
10
11
00
00
10
11
01
00
10
01
00
10
00
01
00
01
11
10
10
01
00
10
00
00
10
10
00
00
11
00
11
00
00
11
00
10
10
00
00
10
11
01
01
11
00
00
11
01
11
10
00
00
10
10
10
00
00
00
10
00
10
00
10
10
11
10
00
00
11
01
10
01
00
11
01
00
10
10
01
00
00
10
11
10
00
01
11
01
00
01
00
01
00
11
00
01
10
10
00
10
01
11
10
01
00
11
10
11
01
11
00
00
11
10
10
01
11
10
10
01
01
01
00
10
00
11
10
00
10
10
01
00
00
00
00
10
11
00
11
01
10
11
00
10
11
10
01
10
01
01
01
10
11
00
00
10
11
00
00
01
00
00
10
10
01
00
10
10
11
10
10
10
00
10
00
01
10
10
10
01
10
00
00
00
10
10
11
10
00
00
10
01
01
01
01
10
10
00
11
11
00
00
10
00
00
00
11
01
01
00
11
10
00
00
00
00
00
10
10
10
10
01
01
00
01
00
00
10
00
10
10
00
00
01
10
10
11
00
01
10
10
11
00
10
10
00
00
10
10
00
01
10
00
10
00
11
11
00
11
00
01
00
01
00
10
00
00
00
11
10
01
01
10
10
00
10
10
00
00
01
11
10
11
10
00
00
11
00
10
00
00
00
11
00
10
10
10
10
00
01
10
10
00
01
00
00
10
10
00
00
10
00
00
00
10
10
11
11
01
10
10
11
10
00
00
00
10
10
11
01
00
00
10
10
00
10
00
11
11
00
01
00
01
00
00
00
10
00
10
01
10
01
00
11
00
00
10
10
00
00
10
10
01
10
00
10
01
00
00
11
11
11
00
10
01
00
11
10
11
10
00
01
10
10
00
10
11
10
10
00
10
01
10
10
11
00
10
11
00
01
10
11
11
11
01
01
00
10
10
11
01
00
01
00
11
01
10
01
11
01
00
10
10
10
10
00
00
01
10
00
00
00
01
11
11
00
11
00
10
00
11
10
00
10
11
00
01
10
10
11
00
01
10
11
00
10
00
00
11
10
10
01
00
10
00
01
00
00
10
11
11
10
10
00
10
10
01
01
10
00
01
11
01
11
10
10
10
10
00
01
10
10
00
01
10
01
10
10
00
00
00
10
00
10
10
10
00
01
10
10
10
10
11
00
00
00
00
11
11
10
00
10
11
00
00
00
01
11
10
01
01
00
01
01
10
10
11
01
01
10
10
10
00
00
01
00
10
01
10
00
10
10
00
00
00
11
11
00
00
00
01
10
10
00
10
10
01
11
11
00
00
11
01
00
00
10
00
10
11
10
10
00
10
01
10
10
11
00
01
01
10
01
10
11
11
00
00
01
11
11
10
00
00
00
10
00
00
10
10
01
11
00
10
11
00
10
00
10
10
00
00
01
00
10
11
11
01
00
00
11
11
01
00
00
10
01
11
01
00
11
11
00
11
00
00
10
10
00
10
00
00
10
10
00
10
01
10
11
00
00
10
00
00
10
00
01
00
11
11
10
11
00
00
11
11
00
00
01
10
11
00
10
01
10
01
11
10
10
00
01
00
10
11
00
10
10
00
10
00
01
10
00
10
01
00
11
00
10
01
00
00
01
10
11
00
11
00
11
00
00
00
00
11
10
10
01
00
00
00
10
10
00
00
11
10
10
00
00
10
00
11
10
11
11
00
00
10
11
10
10
00
01
11
00
11
00
00
01
00
11
00
10
00
10
11
10
00
00
00
11
10
00
01
11
00
00
10
11
01
00
10
10
01
10
00
00
00
11
01
10
00
01
10
00
11
10
11
10
10
01
00
00
10
11
00
00
10
11
00
00
00
10
01
10
00
00
11
01
01
00
10
10
00
11
00
11
10
00
10
11
11
00
00
10
00
00
01
10
10
00
00
00
11
10
01
00
01
10
01
00
10
00
11
11
01
01
11
11
10
00
10
10
00
00
10
11
01
01
11
00
01
00
00
10
00
01
00
11
10
10
00
11
00
10
00
00
10
11
01
00
10
00
10
10
10
00
10
00
10
11
01
11
11
01
00
10
01
01
00
10
11
01
00
11
00
11
11
01
11
10
01
10
10
10
00
00
00
01
10
11
10
10
00
10
10
10
10
01
00
11
00
00
01
01
00
00
11
10
11
00
11
00
00
11
10
10
00
01
10
00
10
10
10
10
11
01
00
10
00
10
11
10
10
00
10
00
00
11
10
00
01
00
10
01
11
11
01
01
00
00
10
10
00
10
11
01
10
11
11
00
00
10
01
01
00
10
10
10
10
00
00
10
00
00
11
00
10
00
11
00
00
01
00
10
00
00
10
00
01
11
10
10
10
11
00
01
00
01
10
11
01
01
10
11
11
00
00
11
10
11
11
01
10
00
10
10
10
00
10
10
00
00
00
01
00
01
11
10
11
00
10
00
00
10
10
00
00
00
00
10
10
01
10
10
00
11
11
10
10
01
11
11
00
10
10
10
10
11
00
01
11
00
01
11
00
01
00
10
10
00
00
11
00
01
10
10
00
00
00
01
10
11
10
10
01
10
10
00
01
10
11
11
00
10
11
11
01
10
11
01
10
00
10
11
10
11
00
00
01
10
10
10
01
00
10
10
00
10
10
01
00
01
11
10
01
00
10
01
00
11
10
00
10
00
01
11
11
01
00
10
10
01
01
11
11
00
10
11
11
11
00
00
10
11
00
10
10
10
10
00
00
00
11
00
01
00
10
01
10
11
00
11
10
10
11
00
10
00
00
10
11
10
00
00
10
00
10
11
01
01
10
10
10
11
01
01
00
00
11
11
11
11
10
11
10
00
10
11
00
00
01
10
10
10
10
10
00
01
10
01
00
00
10
10
01
00
01
10
01
01
11
10
10
11
00
10
01
00
10
10
01
10
10
10
00
00
11
10
11
00
00
11
10
01
10
00
00
11
00
00
10
11
10
10
00
00
00
11
01
10
00
00
00
00
10
10
00
10
00
11
00
00
10
11
10
01
01
10
11
10
11
11
11
01
00
10
11
11
00
10
10
01
00
01
11
10
00
00
10
10
11
00
10
00
00
01
10
00
10
00
00
10
00
00
00
11
01
01
10
10
11
10
01
10
11
00
11
11
01
00
10
01
01
00
00
00
10
10
00
00
01
00
10
11
00
01
00
01
11
00
10
10
10
00
00
10
00
01
10
00
10
10
10
10
00
11
00
00
11
00
10
10
10
00
01
11
10
01
10
00
00
11
10
10
00
00
00
11
00
01
11
10
10
01
10
10
10
00
00
00
00
10
10
10
10
11
00
00
01
00
10
10
10
00
00
10
10
10
11
00
11
10
10
01
10
00
01
00
10
00
10
11
01
10
11
10
00
11
10
10
01
00
00
10
10
01
00
10
11
00
00
10
11
01
10
11
00
00
11
00
00
10
10
10
10
00
00
10
10
00
11
10
00
00
10
00
10
01
10
01
00
01
10
11
11
01
00
11
01
11
10
01
10
11
10
01
00
01
01
11
00
10
00
00
11
00
11
11
11
10
11
10
00
00
00
10
10
10
00
10
10
00
11
11
10
11
01
00
10
01
00
11
10
00
01
10
10
10
11
00
01
10
10
01
10
10
00
01
10
00
00
10
10
00
10
10
11
00
00
10
00
00
11
10
10
11
00
01
10
01
00
10
11
00
00
10
10
00
01
11
11
00
10
10
01
00
01
00
01
10
11
01
00
11
01
00
10
00
10
10
11
00
10
11
01
11
10
01
11
00
00
10
10
01
00
00
01
10
00
10
11
11
10
10
00
10
00
10
10
00
00
00
00
00
10
10
10
10
11
00
00
00
00
01
00
00
11
10
00
00
10
10
01
00
11
00
11
11
10
00
00
01
10
11
00
10
00
00
10
10
01
00
10
10
10
01
00
00
01
01
10
11
00
01
00
10
11
10
00
10
10
00
00
10
00
00
10
10
00
00
00
00
10
11
00
11
11
00
11
00
00
10
10
10
00
01
11
10
01
11
10
01
11
01
10
00
01
00
00
11
00
10
10
11
00
00
10
10
00
00
00
00
11
00
00
11
10
00
10
10
11
01
00
10
10
00
10
00
01
10
00
00
00
11
10
10
00
11
10
00
11
11
10
01
10
10
00
11
10
01
00
11
00
11
11
10
10
10
00
01
10
01
01
11
10
11
00
10
10
00
01
00
11
11
00
00
00
10
10
01
01
10
00
00
10
10
10
00
10
10
01
00
00
11
10
11
00
11
10
01
00
11
01
10
00
01
10
11
01
00
10
10
00
01
00
10
10
01
10
00
10
10
00
00
00
11
10
00
11
10
11
00
00
00
10
10
00
11
10
10
10
01
10
10
10
00
00
11
11
10
10
00
11
10
10
00
10
10
01
00
00
11
00
11
01
01
10
00
10
00
00
00
00
10
10
10
00
11
10
10
00
10
00
10
01
00
10
10
01
11
11
01
00
10
01
00
00
10
11
00
01
10
00
10
10
00
10
01
10
01
00
00
00
00
00
00
10
11
10
00
10
11
10
01
00
00
10
11
00
01
00
10
11
00
10
10
10
00
00
00
10
00
00
10
01
01
10
11
11
00
00
11
01
01
00
10
11
11
11
11
00
00
10
00
10
10
00
00
01
00
00
00
01
01
00
10
10
00
00
01
00
10
10
11
10
00
00
00
00
11
00
11
11
00
01
00
10
11
10
00
00
00
11
01
00
10
01
01
00
00
10
10
11
10
00
00
10
00
00
01
10
01
10
11
01
01
00
11
10
00
00
10
10
01
00
11
10
10
00
10
01
00
10
00
00
00
01
01
11
11
00
10
11
01
10
10
10
00
01
11
10
11
10
10
01
00
01
00
00
11
01
10
11
10
11
10
00
00
00
11
10
00
00
00
00
10
10
10
01
00
10
00
00
00
11
00
00
01
00
00
00
00
11
11
11
10
01
00
10
00
11
11
00
01
10
10
00
01
00
10
00
00
00
10
10
00
01
10
00
10
01
10
10
01
10
01
11
10
01
00
00
11
10
01
01
10
11
00
10
00
10
10
00
10
10
10
01
00
00
10
10
00
01
10
01
00
10
01
10
10
11
10
01
10
10
10
00
10
10
11
10
00
01
10
00
10
10
01
10
00
00
11
10
00
10
11
01
00
11
10
10
00
10
01
01
01
11
01
10
01
10
10
10
00
00
10
10
00
10
01
10
10
10
10
10
00
10
10
01
00
00
01
10
10
10
00
01
00
01
10
10
00
01
01
00
10
10
00
11
10
10
11
00
10
10
10
00
00
10
00
10
10
10
00
01
10
11
10
10
00
00
01
11
01
00
11
00
00
01
01
00
10
10
01
01
00
10
10
10
01
11
00
00
01
10
11
10
11
00
00
11
01
10
10
10
01
00
10
11
00
11
11
10
10
11
00
00
01
10
10
01
00
10
00
11
00
11
00
00
00
01
10
11
00
00
01
00
10
01
01
10
11
10
01
01
00
11
00
00
10
11
01
10
00
00
10
10
00
00
10
10
00
10
01
10
10
11
00
00
00
10
10
10
11
00
01
10
11
01
01
01
00
01
10
00
00
10
11
00
01
11
10
01
11
01
10
01
01
00
10
10
10
01
01
11
00
10
00
00
11
11
01
11
10
10
00
10
11
00
00
10
11
10
10
10
00
10
11
00
01
10
11
10
00
10
00
00
10
10
00
00
10
10
10
00
11
01
11
10
00
10
01
10
00
11
10
11
00
01
10
01
10
01
11
00
00
10
00
10
10
10
10
00
10
00
00
10
10
01
00
00
10
01
00
11
00
10
00
01
10
00
10
11
00
01
00
11
10
00
00
10
10
00
10
10
00
00
01
11
10
00
01
10
11
00
00
11
00
00
10
11
00
10
10
00
01
00
00
10
00
01
00
11
10
11
00
10
10
00
11
10
00
01
00
01
00
10
00
01
00
00
00
11
10
01
00
11
10
01
10
11
10
00
10
10
00
00
10
10
11
00
01
00
10
10
00
10
10
01
10
00
11
00
11
10
00
01
10
10
10
00
01
11
01
10
01
10
10
11
11
00
10
01
00
00
10
00
11
11
00
01
11
11
00
10
10
00
01
01
01
10
00
10
10
11
00
00
11
11
11
00
10
10
01
00
01
00
00
00
11
00
10
00
11
11
00
00
00
01
00
00
00
11
01
01
10
00
00
10
11
10
10
00
00
00
11
11
10
10
00
01
10
10
00
00
10
11
00
10
00
01
00
01
10
01
00
10
10
10
10
00
01
11
01
00
00
11
11
10
10
00
00
10
11
10
10
00
00
10
10
10
00
10
11
00
00
00
00
00
10
10
01
10
01
01
01
11
00
00
00
10
10
11
10
10
00
11
00
00
10
10
00
01
10
10
01
00
10
00
00
00
10
10
00
10
01
01
01
00
11
11
10
11
00
00
10
01
01
10
10
01
01
10
11
01
00
00
10
01
00
01
10
01
10
11
11
11
10
01
01
10
00
01
01
11
11
01
01
01
00
11
10
00
00
10
10
00
01
10
10
10
00
00
11
11
00
00
00
10
11
11
01
00
10
00
01
10
11
00
10
11
00
11
10
00
10
10
11
00
00
01
10
10
01
00
01
01
00
10
10
00
00
01
10
11
00
00
00
10
10
10
10
01
10
10
11
00
01
00
10
11
10
01
01
01
10
10
00
00
00
10
00
00
10
01
10
00
00
01
10
00
10
10
11
01
00
10
11
10
00
11
10
01
00
01
00
11
11
00
10
10
11
00
00
11
01
10
10
00
01
10
11
10
01
00
00
10
10
10
00
10
10
00
00
00
10
10
00
10
00
10
11
10
10
01
01
00
10
10
00
11
00
10
10
11
00
00
10
10
10
00
00
00
00
10
00
00
11
00
11
10
10
00
00
10
10
10
00
11
00
01
10
01
01
00
00
11
00
10
10
00
11
00
01
10
00
00
10
00
10
10
00
10
00
00
10
01
11
11
01
11
11
10
00
00
10
10
00
11
10
10
11
11
10
00
11
00
10
11
10
01
00
01
00
11
10
00
00
10
11
01
00
10
01
11
10
01
00
10
01
00
10
00
01
11
10
10
00
00
01
11
10
00
01
10
10
11
00
00
11
00
10
10
10
00
00
10
11
01
01
01
11
10
00
10
00
01
11
10
00
01
00
11
11
11
10
10
01
10
00
10
01
01
00
00
10
01
10
11
00
10
10
01
00
01
00
11
01
00
00
10
10
01
11
00
00
00
11
00
00
00
00
01
00
01
10
00
10
10
11
00
10
00
01
00
00
11
11
10
00
00
00
00
10
00
11
01
00
10
10
00
00
10
10
11
00
00
00
10
11
00
00
00
01
00
01
10
10
11
11
10
00
10
00
11
00
01
11
10
01
11
10
01
10
00
11
11
00
10
11
10
10
00
00
00
10
00
00
11
00
10
00
01
10
10
01
10
01
10
10
00
11
11
00
00
10
10
10
00
10
10
10
10
01
00
00
11
10
11
01
11
11
00
01
10
00
00
00
11
10
11
01
10
10
01
00
10
00
11
11
00
01
00
11
00
00
01
10
00
01
11
11
00
01
11
01
01
10
00
00
10
10
00
01
10
01
10
01
00
00
11
11
00
11
11
10
10
10
00
00
01
01
10
10
10
00
11
01
00
11
11
01
10
00
00
10
11
01
10
10
11
01
11
00
00
11
10
00
00
10
11
00
10
01
01
10
00
10
01
01
00
11
10
01
00
11
00
00
11
10
01
00
01
10
00
00
10
10
00
00
10
10
10
00
00
01
11
00
10
11
00
10
00
01
10
10
00
01
00
01
11
00
11
10
10
10
00
01
01
10
10
11
10
11
00
00
10
10
10
10
01
00
00
10
11
10
10
00
10
00
00
01
10
11
00
11
10
10
10
00
11
11
00
10
10
11
00
01
00
10
00
00
01
10
10
00
11
11
11
01
11
00
00
00
00
11
11
00
01
10
10
00
10
11
01
11
10
10
00
11
01
11
11
10
10
00
11
01
01
10
10
00
01
10
11
00
00
01
10
10
10
10
00
00
11
10
01
00
01
00
10
10
00
10
10
11
00
10
10
00
11
11
01
10
10
10
01
01
10
01
00
10
00
01
10
00
11
11
00
10
00
10
00
00
00
00
00
10
00
11
11
10
10
10
11
11
01
10
10
00
11
01
00
00
10
01
00
00
00
10
01
00
10
10
10
00
00
01
11
11
01
10
00
01
00
01
00
11
10
10
01
10
00
01
01
10
00
01
00
01
00
10
10
10
00
01
00
10
11
01
11
11
00
01
10
10
10
10
00
00
11
00
00
11
10
00
10
11
11
10
00
01
00
00
11
10
10
00
11
00
00
00
01
11
10
00
00
00
00
10
00
00
11
10
00
00
10
11
10
10
00
00
00
10
10
00
00
11
10
10
10
11
00
00
11
01
00
00
10
10
10
00
00
10
00
11
10
11
10
00
00
10
10
01
10
10
10
01
01
00
01
10
10
11
01
10
01
10
10
00
10
10
10
00
01
10
10
01
00
11
10
00
10
11
10
01
10
00
11
00
01
00
10
10
01
00
11
00
01
00
11
10
10
11
11
01
00
10
10
10
10
01
00
01
00
11
10
00
00
11
01
01
00
11
01
11
11
10
00
00
10
00
01
11
10
00
10
10
01
10
01
11
00
00
11
10
00
11
11
00
11
01
11
11
10
00
00
10
00
10
10
00
00
10
00
00
00
10
00
10
10
00
10
10
00
10
10
10
01
00
01
01
10
01
00
00
11
00
00
10
10
10
10
10
00
10
10
10
00
10
00
00
10
10
00
01
10
10
01
11
11
01
00
11
10
10
01
01
10
10
00
10
00
00
11
11
11
10
10
00
00
11
01
01
10
10
00
10
01
00
00
10
00
00
00
10
01
00
11
00
00
00
10
10
10
01
00
11
01
01
11
10
01
11
10
11
10
00
01
11
10
10
10
00
01
11
10
01
00
11
01
10
10
01
10
10
01
00
10
00
00
00
11
01
01
10
11
11
00
11
00
00
10
01
10
10
01
00
01
10
00
00
11
01
00
11
11
10
10
00
11
11
10
11
00
00
00
01
11
10
00
00
10
10
11
10
00
00
11
10
00
01
10
00
00
00
01
00
00
11
10
10
00
10
11
01
10
10
00
00
01
10
10
10
00
00
10
01
01
01
11
01
10
10
01
10
11
11
01
00
00
00
10
00
10
10
00
00
10
10
00
11
10
11
01
01
10
11
11
00
10
00
01
10
10
00
10
10
00
01
10
10
10
01
10
10
00
10
10
11
00
00
01
10
00
11
11
01
11
10
10
00
00
00
00
10
00
10
00
00
10
00
00
01
00
01
00
00
00
10
00
00
11
10
10
00
00
01
11
01
01
01
00
01
00
11
10
11
11
01
01
01
01
11
10
00
01
11
10
01
01
11
10
00
10
00
00
11
10
00
00
11
10
00
00
00
00
10
01
11
01
00
10
11
01
00
11
01
00
00
01
11
10
00
00
10
00
10
11
00
01
10
11
10
10
00
00
00
10
10
00
00
01
01
10
01
10
10
10
11
01
10
01
11
01
11
10
00
10
10
00
00
11
01
11
10
00
00
11
10
00
11
00
10
00
01
10
11
10
01
10
10
10
11
00
00
00
00
11
00
10
10
11
11
10
10
01
00
10
10
11
00
01
10
11
10
00
00
11
00
01
10
01
00
00
00
01
00
10
10
01
00
11
00
00
00
01
00
00
11
11
10
00
01
11
00
00
01
10
10
10
11
00
00
00
00
01
10
10
10
00
10
10
10
00
01
00
01
10
11
10
11
01
10
11
10
00
01
00
01
10
10
00
10
11
00
11
10
00
10
00
00
10
01
00
00
00
10
10
10
10
11
00
01
10
11
10
11
00
00
11
10
00
01
00
11
10
01
00
10
10
01
11
11
10
11
00
11
11
00
00
11
10
00
01
11
00
01
10
10
11
00
00
00
01
11
00
01
01
11
00
01
10
00
01
11
10
00
10
00
00
01
11
11
11
00
01
10
01
11
10
00
01
10
11
10
00
00
00
10
10
10
00
00
10
10
10
00
01
11
01
01
10
00
01
00
11
10
00
01
01
00
10
10
00
10
10
00
01
10
11
10
00
00
01
10
10
00
00
10
00
11
11
01
10
11
10
11
00
01
11
11
00
01
01
00
00
10
00
10
10
01
11
00
00
10
10
00
10
01
00
01
00
11
00
10
00
00
00
10
10
00
01
00
10
00
10
11
10
10
00
00
11
00
10
00
00
10
10
00
00
00
10
10
00
10
11
11
10
00
11
00
00
10
10
00
11
00
10
10
00
01
10
00
00
01
00
10
00
11
10
10
11
00
11
00
00
00
10
00
10
10
00
10
00
00
01
10
00
01
10
11
10
10
00
11
11
00
01
10
01
00
10
00
00
10
11
00
00
11
10
10
10
10
11
10
11
01
11
01
00
00
00
11
11
01
00
10
11
00
10
00
00
10
11
00
00
10
11
10
10
00
10
00
00
01
00
10
00
00
10
10
00
00
10
10
00
00
00
01
10
11
10
01
10
11
10
10
10
11
01
00
00
10
10
00
00
10
10
00
01
10
00
10
10
00
00
01
10
00
00
10
00
10
00
00
00
11
01
00
11
10
11
11
11
01
11
10
01
11
10
11
00
01
10
00
01
10
00
01
10
10
11
11
11
00
01
00
11
01
11
10
01
11
10
01
00
00
00
00
11
00
00
10
00
01
11
00
00
01
11
00
10
10
10
10
00
10
11
10
01
00
01
01
10
10
11
00
00
10
01
00
11
00
10
10
00
00
11
00
00
10
10
10
00
01
11
10
10
10
00
01
11
00
10
00
01
10
00
00
01
10
10
00
01
10
00
10
11
00
11
01
10
11
00
11
10
10
00
00
00
00
00
10
01
00
10
10
10
10
10
00
00
00
10
01
00
00
10
11
10
11
11
00
10
11
00
10
11
00
01
01
01
10
00
00
11
01
10
11
00
00
00
10
10
10
00
00
10
11
11
00
11
10
10
10
11
00
01
00
10
11
10
11
01
00
11
00
00
00
11
11
00
01
11
11
00
00
10
11
01
11
10
00
00
01
00
01
10
10
01
01
00
10
10
00
00
11
11
01
00
10
00
10
00
00
00
11
10
01
01
00
01
10
01
00
10
10
10
11
00
01
00
01
11
10
01
11
10
01
10
10
11
10
01
10
10
00
10
00
00
10
10
00
11
11
01
00
11
10
00
01
11
10
01
00
10
10
01
11
01
10
10
01
10
01
00
01
00
10
10
01
10
01
01
11
01
10
11
11
10
00
10
10
00
00
10
10
11
00
00
01
10
10
10
00
01
10
00
11
00
01
01
10
10
00
00
00
00
10
00
10
01
00
10
00
10
10
01
00
00
11
10
00
10
01
10
11
00
11
10
10
00
01
10
10
11
00
11
10
11
11
00
00
10
10
01
00
00
00
11
10
00
10
10
00
00
10
00
01
11
00
10
00
11
10
10
00
00
10
01
00
11
10
00
10
00
00
11
11
01
00
01
01
00
00
10
00
01
10
10
10
11
11
01
10
01
10
10
00
10
10
00
00
10
10
01
10
11
00
10
01
00
00
11
01
10
11
01
01
01
10
01
10
00
00
00
01
11
10
11
00
10
01
00
11
11
01
00
10
10
10
11
00
00
10
11
10
10
00
00
00
11
00
00
10
11
10
00
00
00
01
10
01
00
10
10
00
11
10
11
00
00
00
10
00
11
10
01
01
11
00
00
11
10
10
00
10
10
00
00
10
10
00
00
00
00
10
10
10
10
00
00
00
10
10
10
11
10
10
10
01
00
10
00
00
00
01
10
01
00
11
11
10
00
00
00
10
10
00
01
10
11
10
10
00
10
10
00
00
00
11
10
01
10
01
00
10
10
10
10
01
00
10
10
11
10
10
01
01
10
00
00
10
00
01
00
01
10
10
00
01
10
10
10
00
01
00
01
10
11
00
00
01
00
01
01
10
10
11
00
00
10
10
10
01
11
11
01
00
00
10
11
01
11
11
01
11
00
00
01
11
00
00
10
10
10
10
10
00
10
00
00
11
00
10
00
00
10
11
10
01
00
11
10
10
10
10
11
01
10
10
01
00
00
01
11
11
10
01
10
00
00
10
00
01
10
11
10
01
11
10
10
01
11
11
10
00
01
10
11
01
10
11
01
01
10
11
01
00
01
11
10
00
11
10
00
11
11
01
01
11
00
00
01
10
11
00
00
11
00
10
10
00
11
00
10
00
00
01
01
11
00
01
10
10
00
00
10
10
00
00
00
10
00
11
00
10
10
10
00
00
10
00
11
01
00
10
10
11
01
00
11
10
00
00
00
00
01
10
10
10
01
00
10
11
00
00
10
10
10
10
10
00
00
10
00
00
10
10
11
00
10
10
10
10
10
00
00
10
01
11
11
01
00
11
00
10
10
00
01
10
10
10
11
00
11
00
00
00
10
11
00
01
10
10
01
00
00
10
01
00
01
00
10
11
01
10
00
00
10
11
10
01
01
11
10
00
11
01
10
00
01
10
10
11
00
11
11
01
00
00
10
10
01
00
10
00
00
10
01
00
00
00
01
10
00
00
10
00
00
00
10
00
00
11
10
10
01
10
10
10
10
01
11
00
00
10
10
10
10
10
01
01
10
10
01
01
11
00
00
10
10
10
00
00
10
11
10
11
00
00
11
11
11
10
10
00
00
10
11
00
00
10
10
10
01
10
00
10
00
11
10
10
11
10
00
10
00
00
00
00
10
11
00
00
10
00
01
01
00
10
11
00
10
11
01
11
10
10
00
01
11
01
11
10
01
00
11
00
00
10
11
01
10
00
00
11
10
00
00
01
00
11
10
10
11
00
00
01
01
11
10
00
00
00
00
01
11
10
00
01
00
00
00
00
10
11
10
01
10
00
01
10
00
01
10
11
11
10
00
10
10
01
11
11
00
10
00
10
11
10
11
01
01
00
11
11
11
10
01
10
10
00
00
00
11
01
10
10
01
01
10
11
00
00
11
10
00
10
10
10
11
00
10
00
01
10
10
10
01
00
01
10
11
10
01
10
00
10
10
00
00
01
10
10
01
00
00
10
10
10
00
00
00
11
01
10
00
10
10
10
00
11
00
01
10
10
00
10
10
00
00
10
10
00
01
01
10
01
00
01
00
00
10
00
00
10
11
00
01
10
00
00
00
00
10
00
00
00
10
01
00
11
10
10
00
01
01
11
11
00
01
11
10
11
00
10
00
00
11
00
10
00
00
10
10
11
10
00
10
01
00
11
10
00
00
00
10
11
00
00
01
00
00
00
10
11
11
10
01
01
11
01
00
10
11
01
01
00
10
00
10
10
11
01
01
11
01
11
00
00
10
10
00
00
11
10
00
00
00
11
10
11
00
10
01
01
10
01
00
11
10
11
11
00
00
11
10
00
10
10
00
00
00
00
11
10
11
00
00
10
00
00
00
10
11
01
00
10
11
00
00
01
10
00
01
01
10
11
11
00
11
11
01
01
11
00
00
01
00
10
00
00
10
10
00
00
10
10
00
00
11
00
10
00
10
00
10
10
00
00
10
01
00
10
01
10
00
10
00
10
10
01
11
01
00
11
00
10
10
00
01
11
01
00
00
10
10
01
01
00
11
01
00
01
00
10
11
10
01
00
11
00
00
10
10
11
01
10
01
10
00
00
01
01
11
01
00
01
01
00
10
00
10
10
10
00
00
11
00
11
00
10
00
10
01
00
00
11
10
00
00
00
11
00
10
00
10
11
10
01
00
10
10
00
00
10
10
10
11
00
11
10
10
10
00
10
01
10
00
10
00
01
11
00
00
00
00
10
11
10
00
10
00
00
11
11
01
11
01
10
10
00
01
10
01
00
11
11
01
00
11
00
00
00
11
10
10
01
01
01
00
01
01
00
00
01
11
10
01
00
10
10
00
00
10
10
11
00
00
00
00
11
00
11
10
11
10
00
10
10
01
10
10
00
00
10
11
00
00
10
10
00
01
01
11
11
00
00
00
00
10
01
00
10
00
00
11
10
01
00
10
11
00
11
10
00
00
10
01
01
11
00
11
11
10
10
00
00
11
00
10
11
01
00
01
10
10
10
00
00
10
11
10
00
01
11
11
10
00
10
10
01
10
11
00
01
11
11
01
01
00
10
10
00
10
10
01
01
10
01
00
00
10
00
10
10
10
00
10
01
00
00
00
10
11
10
00
01
10
10
00
10
01
11
10
01
00
10
11
10
11
00
11
10
01
01
00
00
10
10
10
10
01
01
10
00
10
00
10
00
01
11
10
00
01
00
00
10
10
00
10
11
00
00
10
00
01
01
00
10
11
10
10
00
01
10
00
00
10
11
11
00
00
00
01
00
00
00
11
10
10
01
01
10
00
11
10
01
01
10
11
00
01
11
10
01
00
00
00
00
11
10
01
01
10
01
11
10
00
00
10
10
00
01
10
11
10
00
00
00
10
10
11
01
10
00
00
01
10
00
00
00
11
00
10
10
11
11
11
00
10
11
10
00
00
00
10
11
10
10
11
10
00
10
00
10
11
00
10
00
10
10
10
11
00
00
00
10
00
10
10
10
11
01
10
00
10
00
01
10
10
11
10
10
00
11
11
00
00
10
00
01
10
01
00
00
10
11
10
00
10
10
00
00
10
01
10
11
10
01
00
11
00
00
10
00
01
10
10
01
00
10
11
00
00
00
11
11
01
01
10
00
01
01
10
11
01
10
10
00
10
00
10
10
00
01
00
00
11
10
10
11
00
11
11
10
10
00
01
01
10
11
00
10
10
01
10
10
10
00
00
11
11
11
10
01
11
10
10
01
00
00
01
10
10
00
10
01
10
10
01
01
00
11
10
01
00
00
10
10
00
01
00
10
11
00
01
01
11
11
00
01
01
00
10
01
00
00
01
00
10
01
11
10
00
00
01
00
00
11
11
01
00
00
10
00
01
01
10
11
00
00
10
10
10
10
00
01
10
10
01
01
00
01
10
11
10
01
00
00
10
10
10
10
01
01
10
00
10
10
00
01
10
10
00
00
00
11
11
00
00
10
01
10
01
00
00
01
10
10
10
10
11
10
00
00
00
10
00
11
01
00
11
11
00
01
11
11
00
01
10
00
00
10
01
00
01
10
10
10
10
00
00
10
00
01
10
11
00
10
00
00
11
00
11
00
11
10
10
10
00
00
10
00
10
00
10
10
10
00
01
00
01
01
10
10
11
01
01
01
10
10
10
11
10
10
00
01
10
10
00
10
00
10
01
10
01
10
10
00
10
00
10
00
01
10
00
00
10
00
10
10
01
10
01
01
10
10
00
10
10
11
10
11
10
00
00
00
10
01
00
11
01
11
00
01
10
10
01
00
10
00
01
11
01
01
01
01
11
01
10
10
00
00
10
10
01
00
10
10
10
01
00
00
11
00
01
00
10
10
11
01
00
10
11
00
01
11
00
10
11
00
01
10
10
00
00
10
01
10
11
10
00
11
11
10
00
00
10
00
10
00
00
01
00
10
01
10
10
01
11
11
01
00
10
11
10
11
10
10
00
01
01
00
10
10
10
00
10
01
00
00
00
00
10
10
00
11
10
10
00
11
10
10
00
00
00
01
11
11
00
01
10
10
00
01
11
00
10
01
00
01
00
10
11
10
11
00
11
10
00
01
10
00
01
00
10
10
10
10
00
10
10
11
10
11
10
01
00
10
00
00
00
10
00
00
10
11
01
00
00
10
11
10
00
00
01
00
10
10
10
00
00
01
10
10
00
00
11
10
10
00
00
00
00
00
01
10
11
00
01
00
00
01
01
01
11
11
01
00
11
01
01
10
00
01
10
01
00
01
10
00
00
00
10
01
11
11
10
10
00
00
10
10
00
10
00
10
00
01
10
10
01
00
00
11
01
10
00
00
10
10
00
00
10
00
00
10
10
00
01
10
10
00
11
10
10
01
01
10
11
10
00
10
00
10
10
01
01
00
00
11
10
00
01
10
01
01
11
10
00
11
00
10
01
00
10
10
11
10
01
10
10
00
10
00
10
10
00
10
00
10
00
00
10
00
10
11
00
00
00
00
00
10
00
11
01
10
11
11
01
11
00
10
11
10
10
00
00
10
00
11
10
01
00
00
00
01
01
11
00
01
10
01
00
01
11
01
00
01
10
11
00
00
10
10
00
10
00
00
10
00
10
11
10
00
00
10
00
00
00
11
10
11
00
00
01
01
10
10
00
01
10
10
00
10
11
00
10
10
01
01
00
10
10
01
10
00
01
11
11
00
01
11
00
00
10
00
00
11
10
01
01
10
10
10
01
01
11
10
00
11
10
11
01
01
10
11
10
00
00
00
11
11
11
01
00
10
10
00
01
00
11
11
00
10
10
01
10
11
01
00
01
10
10
01
10
10
00
00
10
10
01
00
11
10
11
00
00
11
11
01
10
11
01
11
00
00
00
11
00
00
10
00
00
10
10
11
11
00
00
01
00
00
10
01
00
11
00
00
10
10
10
11
00
01
00
10
11
00
01
11
10
00
01
10
00
00
10
10
00
00
10
10
00
01
10
10
01
01
11
00
10
10
00
01
00
11
10
00
00
11
01
00
10
10
00
01
00
11
10
10
11
00
10
00
10
10
00
00
00
11
00
10
01
00
10
10
11
00
00
11
10
00
10
10
01
10
01
11
00
01
10
11
01
10
10
10
10
00
11
00
11
11
10
10
00
11
01
00
10
11
00
00
00
11
10
10
11
11
10
10
01
00
00
10
10
11
00
01
10
01
00
11
10
10
10
00
00
00
00
10
11
00
00
10
01
00
11
00
10
11
00
11
01
00
10
11
11
00
00
11
01
00
01
00
11
10
01
01
01
00
01
10
10
10
00
10
11
00
01
10
10
00
10
10
00
10
11
01
10
01
11
10
11
00
00
10
01
11
10
10
00
11
00
00
10
01
11
10
01
00
10
10
01
01
01
10
10
10
10
10
00
00
11
10
00
01
00
11
11
01
11
01
00
00
00
10
00
01
11
10
00
00
10
11
10
10
00
10
11
00
01
10
10
00
10
10
00
00
10
00
10
00
11
10
10
10
10
11
00
10
00
10
00
01
00
10
10
00
10
01
00
01
00
11
11
10
10
00
00
10
10
01
00
10
00
10
00
01
10
01
10
10
00
10
10
00
11
00
00
10
11
10
01
11
10
10
01
00
10
00
01
10
00
00
01
10
11
10
11
00
01
00
10
00
00
00
11
10
00
00
10
00
00
11
10
00
10
10
00
00
11
00
11
11
00
00
00
00
11
00
00
00
11
10
00
01
10
00
01
10
01
01
10
00
10
10
00
01
10
10
11
00
00
00
10
10
00
10
10
10
00
10
01
00
00
10
01
10
10
10
00
11
00
10
11
01
11
00
10
11
00
11
10
00
00
00
10
10
11
00
11
10
01
00
00
01
11
10
01
10
11
10
01
01
10
00
00
00
10
10
01
10
11
00
01
11
11
11
00
10
10
10
00
10
00
11
10
00
10
01
00
10
11
10
10
00
00
10
00
11
01
00
10
01
10
00
00
11
10
00
00
11
10
00
10
10
10
11
00
11
01
00
10
10
11
11
11
00
00
00
00
00
10
00
11
10
11
00
11
10
10
11
00
01
10
01
10
00
01
01
00
11
00
11
11
00
00
11
10
00
10
10
10
00
00
01
10
01
00
10
11
00
10
01
01
10
00
00
01
10
11
00
10
01
00
10
11
11
01
11
00
01
10
10
11
01
10
11
10
10
01
10
01
00
00
00
01
10
10
11
10
10
00
11
00
00
01
10
11
00
01
00
11
10
10
01
00
01
11
10
11
10
00
01
10
11
01
11
00
00
00
10
10
01
00
10
10
11
00
00
00
10
11
10
01
00
10
00
00
10
11
10
00
10
10
00
10
00
00
00
10
01
11
01
10
01
00
00
00
10
01
10
11
00
00
10
00
00
00
11
10
10
00
00
10
00
11
11
10
10
01
10
00
00
10
11
10
01
00
00
00
00
11
01
10
10
11
01
10
10
11
00
01
01
10
00
00
00
11
10
00
01
10
01
01
10
00
11
00
01
00
11
10
10
10
00
01
00
10
10
01
00
00
01
10
00
00
10
00
00
11
00
10
00
01
00
11
01
00
11
00
00
11
01
01
11
10
00
00
10
10
10
01
00
11
00
11
00
01
10
10
10
00
01
11
01
01
10
11
10
01
00
11
10
00
01
11
10
00
10
10
00
10
11
00
00
10
10
01
00
10
11
11
10
10
10
01
00
10
10
11
00
00
00
11
00
00
00
10
10
10
10
00
00
10
00
01
10
00
00
00
10
01
00
01
00
10
00
01
10
01
01
11
00
01
10
10
00
01
10
10
00
00
00
01
00
01
10
11
10
10
00
10
10
00
01
10
10
01
00
11
10
01
01
11
10
10
00
00
00
11
00
10
01
00
00
10
11
00
00
01
10
00
10
00
00
10
11
11
11
01
10
10
10
00
00
11
11
00
00
10
11
01
11
10
00
10
01
00
01
00
10
11
01
01
00
10
10
11
00
00
11
00
00
00
01
11
11
11
11
10
00
10
00
00
10
10
00
00
11
01
00
01
01
00
10
10
10
01
10
11
00
11
11
11
10
01
10
10
10
01
00
10
10
00
10
00
10
01
00
11
10
10
10
10
00
00
00
10
10
10
11
11
11
11
00
01
00
11
01
10
10
01
00
11
11
11
00
10
10
00
01
10
10
01
10
10
00
01
00
10
10
00
00
10
11
00
00
11
00
10
10
11
00
00
00
10
11
10
10
10
01
00
00
00
11
01
00
10
00
00
00
00
11
00
10
00
11
10
01
10
11
11
01
00
10
11
00
11
00
00
10
11
00
00
00
10
10
10
00
10
11
01
10
10
10
00
00
11
00
10
10
00
11
00
00
11
10
00
10
11
00
10
10
11
00
10
00
01
00
01
10
10
10
00
10
00
00
01
00
00
11
11
11
11
10
11
01
00
00
11
10
00
00
10
10
00
01
00
10
10
11
10
01
00
10
10
01
00
11
10
11
00
00
00
00
00
11
11
00
10
00
11
10
10
10
10
10
10
10
00
11
00
10
01
00
10
00
01
01
00
00
10
10
00
10
00
00
01
10
00
01
10
10
00
00
10
11
10
10
10
00
01
10
00
10
00
10
00
01
10
00
01
10
00
10
00
10
10
01
01
01
11
11
01
00
10
00
01
00
10
10
01
01
10
00
00
11
00
00
10
00
10
10
11
11
10
00
10
00
00
01
00
10
00
10
00
00
01
00
00
10
00
00
01
00
10
01
10
01
00
11
00
11
10
11
00
11
01
01
10
11
00
00
11
01
00
10
11
00
10
00
00
11
00
00
11
10
10
01
11
00
00
11
00
11
11
10
10
01
11
10
10
01
00
10
10
01
00
10
10
00
00
11
10
00
01
10
00
01
01
00
01
10
10
00
00
10
11
00
00
00
01
10
10
00
00
00
00
00
10
10
00
01
00
00
10
00
10
00
10
01
00
10
10
00
00
11
00
00
10
10
11
10
11
01
11
00
10
01
11
11
01
11
11
01
00
00
11
11
10
00
00
11
10
10
00
00
10
10
00
00
10
10
10
11
10
01
00
10
11
10
01
00
00
10
10
11
00
00
10
11
00
11
00
01
00
10
10
01
01
10
10
00
00
10
00
00
10
11
00
00
10
00
10
00
01
10
11
01
11
11
00
01
01
00
00
00
11
11
00
00
10
10
01
10
01
01
10
10
10
10
01
11
11
00
01
10
01
00
10
11
00
10
11
10
00
11
10
10
00
00
10
10
00
00
00
00
10
10
10
11
10
01
00
11
01
00
11
11
11
00
10
11
11
10
01
10
11
00
10
00
11
00
00
11
00
01
11
10
10
10
01
00
10
11
00
01
10
01
00
10
01
00
10
11
10
00
00
00
10
10
00
10
00
01
01
00
11
01
01
11
10
10
10
11
00
11
00
01
11
10
10
01
10
00
10
10
00
00
10
11
01
10
10
01
10
10
10
10
01
01
10
01
00
01
10
00
10
10
01
01
11
01
00
00
10
00
11
10
00
11
10
00
10
00
00
00
00
11
11
10
00
11
10
00
10
01
01
10
00
01
10
00
00
11
11
01
10
10
00
11
01
01
01
10
10
10
11
01
11
00
00
01
10
10
00
10
11
00
01
00
11
10
01
10
10
00
01
00
10
10
01
01
10
01
11
00
00
00
11
11
11
00
11
10
00
00
10
10
01
00
00
10
10
01
10
00
01
10
11
10
11
00
01
01
11
10
00
10
11
10
01
11
10
00
10
00
10
10
00
00
00
11
11
00
00
01
11
00
01
10
11
00
00
11
01
00
10
00
00
00
00
10
10
00
01
00
00
11
10
00
00
10
11
10
10
11
00
00
10
00
01
00
00
01
11
01
01
01
10
01
10
01
10
10
00
00
01
11
10
10
10
00
01
00
00
00
10
10
00
11
10
11
10
00
00
00
00
10
10
01
00
00
10
10
11
10
10
10
10
00
00
01
11
00
00
00
10
10
10
10
01
11
10
00
00
01
00
00
11
11
00
00
00
01
00
10
10
10
01
00
00
10
00
00
10
10
00
00
00
10
01
00
00
00
01
11
11
10
00
11
00
00
10
10
01
01
00
10
10
00
00
10
10
10
10
00
01
00
00
10
10
00
00
00
11
00
10
00
00
01
10
11
00
00
00
10
01
01
10
11
01
10
10
11
11
11
00
11
01
10
00
11
10
00
10
10
00
00
01
10
11
11
10
11
00
00
10
01
00
10
11
00
00
10
01
10
00
11
01
00
00
01
10
11
00
00
00
10
00
01
01
11
00
11
01
00
10
11
10
01
10
10
10
00
10
10
00
01
00
01
10
11
10
00
01
00
11
10
11
01
10
01
10
00
00
10
11
11
00
00
10
01
00
00
10
00
10
00
10
10
00
10
10
00
10
10
00
10
00
10
10
00
10
00
11
10
11
10
00
11
00
00
00
01
11
01
01
11
00
00
00
11
00
01
10
11
10
10
10
10
10
00
10
00
10
10
10
10
00
00
00
10
11
11
10
11
10
11
00
01
10
00
10
11
11
11
10
00
00
10
00
00
11
10
10
10
01
00
00
01
00
01
11
10
00
00
11
00
10
10
10
10
01
00
00
11
10
00
10
00
00
00
10
10
01
10
10
01
01
10
11
11
00
00
01
10
10
01
00
01
00
00
10
00
10
00
00
10
00
00
10
11
00
10
10
10
10
11
10
00
11
10
01
00
11
10
10
11
01
00
10
10
00
01
10
00
10
11
10
11
01
00
10
01
00
01
01
11
00
00
11
11
00
00
10
01
00
00
10
10
10
11
00
11
01
10
00
01
01
00
00
10
10
10
00
00
00
00
10
01
10
10
01
11
10
10
11
00
10
01
01
11
10
00
10
10
01
00
00
01
01
00
11
10
01
10
11
00
00
10
11
10
11
01
01
11
11
00
00
10
10
10
10
11
00
11
10
01
00
00
10
11
10
00
00
10
10
01
01
10
10
00
01
00
00
10
00
00
10
10
00
00
10
11
00
10
11
00
10
00
10
10
10
00
00
00
11
01
10
00
00
11
00
00
10
00
10
11
01
00
11
10
10
01
10
10
10
00
00
10
00
10
10
01
10
00
10
11
00
01
10
10
00
10
10
10
00
01
11
11
11
10
10
10
00
10
10
00
00
10
10
00
11
00
11
10
00
00
01
10
11
10
00
11
10
11
01
01
11
00
00
00
10
10
00
01
00
10
11
00
10
10
11
10
01
00
10
00
11
00
00
00
00
00
10
10
10
01
11
10
00
01
00
00
00
10
00
00
10
10
00
11
10
01
10
00
01
00
11
10
10
00
00
01
10
10
01
01
11
01
00
10
00
00
00
01
10
10
00
10
10
01
10
11
10
01
10
00
00
10
11
00
00
00
10
11
10
11
00
00
01
11
00
01
10
10
00
00
10
00
00
10
00
00
00
10
11
10
01
10
10
00
10
10
10
00
10
10
00
00
00
10
11
00
01
01
10
01
10
10
01
00
11
10
00
00
11
00
01
01
10
10
10
11
10
00
01
10
10
10
00
10
00
10
10
00
00
11
00
00
00
00
11
10
11
00
01
01
10
10
00
00
10
10
00
00
11
11
01
01
11
11
01
11
11
00
10
11
00
01
00
11
00
00
10
00
10
10
11
00
11
10
00
10
10
00
01
11
00
10
10
00
10
01
11
10
00
10
11
00
10
00
00
01
11
10
01
00
10
10
00
00
00
10
01
11
11
11
00
00
10
10
00
10
11
00
01
01
10
10
10
00
00
00
10
11
11
00
10
00
00
10
00
00
00
10
01
10
11
00
00
00
10
11
00
10
10
01
10
11
00
10
01
11
10
10
00
01
01
01
11
10
00
10
00
10
01
10
11
10
00
11
10
10
00
01
00
11
10
11
00
10
11
01
01
10
11
00
00
10
11
00
00
00
11
00
00
10
10
00
10
10
00
00
10
00
00
00
00
10
11
10
01
01
00
10
00
11
10
11
01
01
00
10
01
00
01
11
11
00
10
11
01
01
10
10
00
11
11
00
00
11
00
00
00
00
00
10
10
10
10
00
10
00
00
10
00
00
01
00
10
11
01
00
00
01
10
01
00
10
10
00
00
01
01
10
11
10
00
11
01
01
00
00
10
10
11
10
00
00
00
01
10
10
01
00
00
01
01
11
11
00
10
00
00
10
11
00
00
00
10
10
10
00
01
10
01
00
10
10
10
00
11
10
01
00
10
10
10
00
01
11
10
00
00
00
00
01
10
11
10
11
00
11
01
00
01
10
01
11
11
00
00
00
10
01
10
10
10
00
01
10
00
10
10
00
01
10
11
11
00
10
00
10
11
00
01
00
10
01
00
10
11
01
00
10
01
10
11
00
10
10
00
00
10
01
00
11
00
11
10
10
11
00
10
10
00
00
10
00
10
00
00
10
01
00
11
10
01
10
11
10
10
00
10
11
01
01
11
11
10
10
10
01
10
11
01
00
11
00
10
01
01
10
10
00
10
10
01
00
10
01
00
10
00
11
00
01
01
10
00
11
11
00
11
10
10
00
00
10
11
00
00
10
00
00
00
00
10
00
01
10
01
00
10
10
00
10
01
10
11
10
10
01
10
11
11
11
01
10
10
00
10
01
11
11
01
10
00
00
00
11
10
01
10
01
01
00
10
00
00
00
01
11
00
10
01
01
10
11
01
01
10
10
11
11
00
01
11
01
00
01
01
00
10
10
11
00
00
11
11
11
00
00
10
10
01
00
00
11
10
00
10
10
10
01
00
01
11
11
11
10
10
10
01
00
10
00
01
10
00
11
11
10
11
01
01
10
10
00
10
00
00
10
00
11
10
00
01
00
00
10
00
00
10
10
10
00
01
01
11
11
10
00
01
00
11
00
00
11
10
00
00
00
11
01
00
10
00
10
10
10
00
10
00
10
01
00
11
00
11
01
00
00
00
11
10
10
00
10
11
01
00
00
10
10
00
00
10
11
01
11
00
10
00
01
01
10
01
00
10
01
11
01
10
11
11
00
01
01
11
10
01
00
10
11
00
00
00
10
10
00
00
11
10
00
00
10
11
10
10
00
00
00
10
10
01
00
10
11
10
00
10
11
11
10
10
10
10
01
00
00
10
00
10
10
01
11
00
10
00
10
11
00
10
11
00
00
00
10
11
00
01
11
10
10
00
00
01
01
10
00
01
00
00
11
10
00
00
01
00
00
00
10
01
10
10
10
00
00
00
00
10
10
00
00
11
10
01
10
10
00
00
10
01
00
11
10
10
10
10
10
10
10
00
11
00
00
10
00
00
01
10
11
10
00
10
10
01
10
10
01
11
01
10
10
00
01
00
00
10
10
11
10
10
01
01
00
11
00
00
10
00
11
00
01
10
10
10
00
00
11
00
01
11
00
01
00
10
10
00
00
11
01
00
10
11
00
11
01
10
11
10
00
00
00
11
10
00
01
00
01
01
10
00
00
01
10
10
10
01
00
11
10
01
00
01
10
10
10
01
10
11
10
00
00
11
10
10
10
01
00
10
11
10
10
00
10
01
00
10
10
10
00
01
00
10
11
00
10
00
01
10
11
00
01
00
00
00
10
10
01
01
11
10
00
10
01
00
01
10
11
01
01
10
10
00
00
00
11
11
00
11
01
01
01
00
00
00
00
10
00
01
10
00
00
11
10
01
10
10
00
00
10
10
00
00
11
00
10
01
11
11
00
10
00
11
00
10
00
00
10
10
00
00
10
10
01
00
11
11
00
01
10
11
11
00
01
10
00
00
10
11
11
00
01
00
10
10
00
10
10
01
00
10
00
11
01
00
01
11
01
00
00
10
10
10
01
01
01
00
11
10
00
11
10
10
10
10
00
00
10
11
00
10
10
01
00
11
11
11
01
11
01
00
11
11
10
00
00
01
00
01
10
01
10
00
00
00
10
01
01
10
00
00
00
00
00
00
10
00
10
00
00
11
00
01
00
11
00
10
00
11
00
01
10
11
10
11
00
01
00
11
01
01
01
10
10
01
11
11
10
00
00
11
10
00
01
10
11
01
10
10
11
11
10
00
00
01
10
11
10
11
11
10
00
00
00
11
00
10
10
11
01
10
00
00
10
11
01
01
00
10
10
11
10
00
11
11
10
10
10
11
00
10
00
00
10
11
00
10
10
01
00
10
11
01
00
11
11
10
00
01
10
01
00
10
10
10
10
11
01
00
00
10
10
00
10
00
00
00
11
01
10
10
11
01
10
10
00
10
10
01
00
11
10
00
11
10
10
00
01
10
00
00
10
11
00
10
00
00
10
00
10
00
00
10
00
11
10
10
11
10
11
00
00
10
01
00
10
11
00
10
01
01
11
11
00
00
00
10
00
10
11
00
10
00
10
00
10
10
01
11
10
10
00
00
11
00
01
00
10
10
01
11
11
11
10
01
10
10
01
00
11
10
00
10
00
11
11
10
00
00
11
10
11
00
00
10
01
01
10
01
10
10
01
00
11
10
10
01
01
11
10
01
00
01
01
10
11
00
01
10
00
00
10
10
00
10
11
10
11
11
00
00
00
01
11
11
00
10
00
00
00
11
11
01
11
10
00
00
11
01
00
10
10
10
00
00
10
00
00
10
01
10
00
10
01
00
00
01
00
00
10
10
00
10
00
10
10
00
00
11
10
00
10
10
01
10
10
00
11
10
00
01
11
10
01
00
01
11
10
00
11
10
00
01
10
11
10
11
00
01
01
10
01
01
10
10
10
00
10
00
00
00
10
00
01
00
00
00
00
10
10
10
10
00
00
00
00
11
11
10
11
01
00
10
00
10
10
10
00
10
11
00
01
10
01
10
11
00
10
01
11
10
00
11
00
00
10
10
00
10
01
01
00
00
10
00
11
01
10
00
00
11
01
11
10
10
01
00
00
01
00
10
01
10
10
10
00
01
10
10
00
11
10
10
00
00
00
00
00
00
10
11
00
10
11
11
00
10
10
01
00
00
10
10
00
01
00
00
10
11
01
00
11
11
00
00
10
10
01
00
11
00
10
10
10
01
00
00
11
10
10
00
01
10
10
00
00
10
00
01
11
00
00
11
10
10
00
11
01
01
11
00
11
00
00
11
11
00
01
00
10
00
01
10
00
00
10
01
10
11
00
10
01
00
00
00
10
10
01
00
10
00
00
00
10
00
10
10
00
10
10
00
00
00
00
00
11
01
10
11
10
10
01
10
01
10
10
00
10
01
10
11
00
01
01
10
10
01
10
11
11
01
11
10
00
11
00
00
11
10
00
00
01
10
10
11
01
00
10
10
00
10
10
01
00
11
10
00
10
11
01
10
11
01
01
00
00
11
10
11
00
10
10
00
01
01
00
10
10
00
10
00
00
10
10
01
00
00
10
10
00
01
00
00
11
10
00
01
00
00
01
10
10
01
00
10
10
01
01
10
10
00
00
10
11
01
01
01
01
10
10
11
10
11
00
00
10
10
01
11
00
00
01
10
10
00
00
01
00
10
10
00
00
10
11
11
10
00
00
01
00
00
11
11
10
11
00
01
11
00
00
11
00
00
11
10
10
10
00
11
11
10
00
10
01
10
10
10
10
10
00
00
00
01
00
00
01
00
10
10
10
00
00
10
11
01
10
11
01
10
01
01
11
00
00
10
00
00
10
10
01
10
00
00
01
11
11
10
01
00
10
10
01
01
10
10
00
00
10
10
10
10
01
01
10
10
01
00
00
00
10
00
10
10
00
01
00
10
10
10
00
11
00
11
10
10
00
00
11
11
10
00
00
01
10
10
00
01
11
11
00
00
10
10
11
10
10
00
11
10
11
10
00
01
10
11
01
10
11
11
00
10
10
01
00
01
10
00
11
11
01
00
00
11
10
10
10
00
01
01
10
00
00
00
10
10
10
01
00
10
01
10
00
00
01
11
00
01
11
00
00
00
10
00
00
10
11
01
01
11
10
00
00
00
00
00
10
00
00
01
01
10
10
11
01
10
00
11
00
10
00
01
10
00
10
10
10
00
01
11
00
11
10
00
10
10
11
01
10
10
00
10
01
01
00
00
00
10
10
00
11
11
00
10
10
01
00
10
10
00
10
10
10
01
00
00
00
10
10
00
01
01
10
11
01
10
11
00
00
11
10
01
01
00
10
01
11
00
00
10
01
00
00
00
10
10
11
10
10
00
01
10
00
10
11
10
00
01
11
11
10
00
10
00
00
11
00
10
10
01
10
01
10
10
11
00
11
01
11
10
00
00
10
10
00
11
10
00
10
10
00
01
11
11
00
11
10
01
10
00
01
11
10
00
00
00
01
10
10
10
11
00
01
00
00
00
10
10
00
01
11
10
00
11
10
00
10
01
01
00
11
10
11
11
10
10
11
10
10
01
00
01
11
01
11
10
01
00
10
11
00
00
11
10
01
10
10
00
00
11
10
00
00
10
00
00
00
00
10
10
10
11
01
11
00
00
10
10
10
00
00
10
00
10
01
00
10
10
01
11
00
11
10
01
00
00
10
00
10
10
10
01
01
10
10
11
10
00
00
11
00
00
11
10
01
11
00
01
11
11
10
00
00
01
10
10
00
01
10
10
11
10
11
01
01
01
01
11
10
11
11
10
00
00
10
10
11
00
00
00
10
10
11
00
01
11
10
11
00
10
10
10
00
10
00
01
00
11
00
00
10
01
00
10
00
01
00
10
01
00
10
11
00
11
10
01
00
11
01
10
10
01
11
10
10
00
00
10
10
00
00
00
00
00
10
00
10
10
11
11
00
10
00
11
10
10
01
01
10
10
00
10
01
11
00
00
10
01
10
10
11
11
10
01
01
00
00
01
11
00
11
11
10
11
11
00
00
11
00
00
10
11
10
11
10
01
00
00
10
11
10
00
10
11
11
00
00
10
10
00
01
00
10
10
11
11
10
00
10
00
00
00
10
11
00
10
01
10
11
00
10
10
00
00
11
00
00
11
10
00
10
10
10
10
10
10
10
00
10
10
00
01
10
00
10
00
00
01
01
01
01
11
10
11
10
00
01
10
10
01
11
11
10
10
11
11
01
10
00
00
11
10
00
10
10
01
11
10
00
00
00
01
00
10
00
11
11
11
10
00
00
11
00
00
11
10
11
01
01
00
11
11
11
10
01
10
10
00
00
00
01
00
00
10
10
01
01
10
11
00
01
10
01
01
11
11
11
00
00
00
11
00
11
00
11
10
01
10
01
11
10
01
01
00
11
10
00
00
10
10
00
00
01
00
10
11
11
11
00
10
00
10
00
01
10
01
01
00
00
10
10
10
00
00
01
10
11
10
00
00
00
00
11
00
10
10
01
11
01
00
10
10
10
10
11
00
10
00
00
01
00
00
00
01
11
11
10
10
00
01
00
10
11
00
11
10
01
01
00
10
10
10
00
10
01
10
11
10
00
01
00
00
00
10
10
10
11
00
11
00
01
11
10
10
01
00
11
11
00
01
10
10
00
11
11
11
00
00
00
11
00
00
10
10
10
10
10
10
00
10
00
01
01
00
10
01
10
01
10
11
01
01
10
10
10
11
00
00
11
00
01
11
10
01
00
10
10
00
00
00
00
10
10
00
01
00
00
00
10
10
11
01
00
11
11
10
00
00
10
00
00
10
10
01
01
10
10
00
10
10
00
00
10
11
00
00
00
00
10
00
11
10
10
10
11
01
10
11
01
00
10
11
01
10
00
00
10
10
01
01
01
01
10
11
00
11
11
10
00
10
00
00
11
00
11
11
00
10
10
10
11
10
01
00
10
01
11
10
11
01
00
00
01
11
01
01
11
11
00
00
10
00
00
11
11
11
00
00
10
01
00
10
10
00
11
11
00
00
01
00
10
00
01
10
10
01
10
01
00
11
10
10
11
00
00
10
10
10
01
10
10
01
10
01
00
01
10
00
10
10
11
00
11
00
10
00
10
10
00
00
10
10
01
11
10
01
00
11
01
10
11
10
00
00
00
10
11
10
01
01
10
10
10
10
00
00
11
01
00
00
10
11
10
10
01
00
10
10
10
10
10
00
00
00
01
10
10
00
00
01
10
11
10
10
11
10
11
10
01
00
00
00
00
10
10
01
11
01
10
10
11
10
00
00
00
11
01
01
10
11
10
01
11
10
00
01
01
10
01
10
11
00
11
10
00
00
10
00
10
00
00
00
00
10
10
10
00
01
10
10
11
01
01
00
10
00
01
00
10
11
00
00
01
00
10
00
00
11
11
10
00
00
00
11
10
00
10
00
10
00
11
10
00
11
00
01
10
00
00
01
01
00
11
11
00
00
01
10
11
10
10
00
11
11
10
10
00
01
00
01
10
00
00
01
00
11
10
00
00
00
00
00
10
10
10
00
11
11
00
00
01
10
00
10
11
10
10
10
00
00
10
01
01
00
11
00
10
10
10
01
10
00
00
10
11
10
00
01
11
10
00
00
01
11
11
10
10
10
00
00
01
11
10
00
01
00
11
00
01
10
01
10
10
00
10
10
01
10
11
00
01
10
01
00
10
10
10
00
01
11
00
00
10
01
01
10
10
10
01
01
00
10
10
00
10
00
00
10
10
00
00
01
10
10
00
01
00
10
00
10
00
10
00
00
10
10
10
11
10
00
10
00
01
10
10
01
10
11
00
10
01
00
10
11
00
01
00
00
10
10
01
10
11
01
00
01
00
01
11
10
00
00
10
00
00
11
11
11
00
11
00
00
00
11
00
00
11
10
00
01
11
11
11
00
00
00
11
11
01
10
11
01
00
00
10
00
01
01
11
10
01
01
01
10
10
01
01
10
01
10
00
10
01
01
10
01
00
10
00
00
11
10
10
00
01
00
00
10
10
01
10
10
11
01
01
10
10
01
00
10
10
10
00
10
11
10
10
00
10
00
00
00
11
10
10
10
00
00
00
01
00
10
00
00
10
01
00
10
10
10
00
11
00
01
00
00
10
10
10
00
00
10
00
10
10
00
10
00
00
00
10
01
00
00
10
00
01
10
00
10
01
11
00
10
01
00
10
11
10
01
01
11
01
00
00
10
10
00
10
10
01
11
10
10
00
11
00
11
10
00
10
10
00
11
10
01
00
00
10
10
01
00
11
11
10
11
00
01
10
11
01
11
10
11
11
00
11
00
11
10
01
00
10
11
10
00
01
10
10
00
00
11
10
10
10
01
00
10
11
01
00
10
00
01
10
00
00
11
10
00
00
11
10
11
10
11
00
11
10
11
11
00
00
00
00
10
11
10
00
00
00
11
00
11
10
00
00
00
01
00
01
11
00
00
11
10
11
10
01
00
00
10
00
11
00
01
10
00
00
00
00
10
11
00
11
11
00
00
10
00
01
10
10
00
00
10
00
00
01
11
00
10
10
10
10
01
01
00
10
11
00
00
00
10
00
01
10
00
10
00
00
01
01
00
00
00
00
01
00
00
11
10
00
10
00
00
00
01
01
00
11
00
11
11
01
11
10
10
00
10
10
10
11
10
00
00
10
10
00
10
10
01
01
10
10
10
11
01
00
00
10
11
00
00
10
01
00
01
01
00
00
10
10
01
00
00
10
00
11
10
11
00
00
11
01
10
00
10
10
10
10
10
00
01
00
11
10
00
10
10
00
10
00
00
00
11
10
11
00
11
11
01
01
10
00
10
00
00
00
11
10
11
01
10
00
10
10
01
00
10
11
00
00
11
10
01
00
11
10
01
01
10
00
10
11
00
10
10
00
01
00
11
01
00
00
10
11
00
00
11
10
11
11
01
10
11
00
01
11
10
00
01
00
11
00
00
10
10
00
00
01
10
11
00
11
10
10
00
00
10
00
10
10
11
10
10
00
00
10
00
01
10
00
00
01
01
11
10
11
10
11
10
00
01
10
01
00
01
11
00
11
00
10
10
10
10
00
00
00
10
11
00
10
00
00
00
10
00
01
10
10
10
11
11
00
11
10
10
00
10
01
10
10
00
01
10
11
00
01
10
11
10
10
11
01
11
11
11
01
00
10
00
00
00
10
10
00
01
10
00
10
00
10
00
10
11
00
10
10
10
11
01
01
01
10
00
01
10
00
01
10
11
00
00
10
00
00
10
00
00
10
00
11
00
11
00
00
11
10
00
10
11
00
10
10
01
00
10
00
10
10
01
00
01
10
10
10
00
10
01
00
10
00
01
10
00
01
00
00
10
00
00
01
00
11
00
10
11
10
01
11
00
01
11
10
11
11
00
01
00
11
00
00
11
10
10
00
00
11
00
00
00
01
10
00
00
01
00
10
10
01
00
00
10
10
01
00
11
00
11
11
01
01
10
00
10
00
11
10
00
00
10
10
10
11
11
10
00
00
10
11
11
00
11
01
10
10
00
00
00
10
00
10
10
00
10
00
00
10
10
00
01
10
11
00
11
00
10
11
11
10
01
01
00
10
10
00
10
10
00
00
00
00
10
00
01
10
10
01
00
10
10
00
00
11
11
11
10
00
10
00
10
00
01
00
11
00
00
10
00
00
11
00
00
10
10
00
01
11
10
11
10
10
00
11
10
10
00
00
01
00
10
00
10
00
00
10
10
00
00
11
11
00
01
00
01
00
01
10
10
00
00
00
10
00
00
01
10
01
10
00
01
01
11
01
01
11
00
01
01
10
10
00
00
10
01
11
00
11
00
00
01
01
10
01
00
10
00
10
10
10
00
00
11
10
01
10
11
01
11
10
00
00
10
10
00
00
10
11
11
01
00
01
01
00
01
10
01
10
10
01
00
00
00
01
10
00
10
11
01
00
10
11
10
10
10
01
11
00
00
11
00
11
00
10
00
00
10
00
10
10
10
11
10
01
00
00
10
11
10
01
11
00
10
10
00
11
00
01
10
10
00
00
00
11
10
00
01
01
11
00
00
01
00
10
10
10
01
10
01
10
10
01
01
10
00
11
10
11
10
10
00
11
10
10
00
00
00
00
01
10
00
00
11
10
01
11
00
01
01
10
10
10
01
11
01
10
00
10
00
10
10
00
01
00
10
11
11
11
00
11
10
10
00
00
10
10
11
00
10
00
00
10
00
00
00
11
10
10
10
10
00
01
00
10
01
10
11
00
11
01
00
10
10
00
10
11
10
11
10
01
10
10
10
00
00
00
10
00
00
00
10
00
01
11
01
10
10
11
01
10
10
00
00
10
11
10
11
01
11
00
01
10
10
10
00
11
10
00
10
10
01
11
00
00
10
11
00
10
00
00
00
10
00
01
11
10
00
01
00
01
10
11
10
10
10
00
00
10
11
01
00
11
00
10
10
00
10
11
01
00
10
11
00
10
01
00
00
10
10
01
11
10
10
11
11
00
01
00
00
10
10
00
10
00
00
10
11
00
01
11
10
00
01
00
11
00
00
01
01
10
00
11
01
01
10
00
01
10
11
00
11
10
10
11
10
00
00
10
10
01
00
00
10
00
00
00
00
10
00
00
01
10
00
00
01
11
10
11
00
11
00
00
01
11
00
00
10
10
11
11
01
01
00
10
01
01
00
10
11
10
00
01
11
01
11
11
00
01
00
10
00
00
11
11
10
10
10
01
11
00
01
10
11
00
00
00
10
10
10
10
00
10
10
10
10
00
00
10
10
10
00
10
11
01
11
11
00
10
00
00
10
00
00
11
01
00
00
00
00
00
01
00
10
10
01
10
00
10
01
11
00
01
00
00
00
10
11
00
10
00
11
10
10
01
01
10
00
00
01
00
01
10
10
00
00
00
10
01
00
11
10
10
10
10
00
00
10
11
01
11
10
00
10
11
00
00
10
01
01
11
00
01
10
10
10
10
11
01
10
10
00
10
11
00
00
10
00
00
11
00
01
01
11
10
11
10
00
01
11
00
00
10
01
11
10
01
10
11
10
01
00
10
10
00
01
11
11
10
00
10
10
00
10
00
00
00
00
00
10
10
11
10
00
10
00
00
11
00
10
10
01
01
11
11
00
01
00
00
00
11
10
00
00
11
01
01
01
01
01
01
10
10
00
01
10
11
00
00
00
10
00
01
10
11
01
10
10
00
11
10
00
01
00
10
00
10
00
10
10
01
01
11
10
00
11
10
10
01
00
10
11
11
00
10
01
01
10
11
00
01
10
11
11
11
00
10
11
10
10
00
00
11
10
00
00
10
00
10
00
10
00
11
01
00
10
10
10
00
00
10
00
00
10
00
01
00
00
10
10
01
10
10
01
10
00
00
00
01
10
11
00
11
10
00
10
00
11
10
01
10
10
00
00
01
01
00
11
10
10
11
00
11
10
11
00
01
10
10
00
00
00
10
00
00
10
00
11
00
11
11
00
01
11
00
00
11
10
10
10
00
01
01
01
10
00
00
01
11
10
00
00
10
10
00
00
11
01
11
00
00
11
10
00
00
11
10
01
01
00
11
10
10
11
10
00
00
01
10
00
01
11
11
10
00
00
10
10
00
00
10
10
00
00
10
10
11
11
00
10
10
00
11
00
00
11
10
00
00
10
11
10
00
11
11
11
00
10
10
10
10
00
00
10
11
10
10
11
01
00
10
11
00
11
01
10
01
10
01
01
00
10
10
00
10
10
00
00
00
10
11
10
00
11
10
10
10
00
10
10
00
01
10
00
01
00
00
01
00
10
10
01
10
01
11
00
11
00
11
11
10
00
10
00
01
11
10
11
00
11
10
10
01
10
01
01
11
11
01
00
11
01
10
10
00
01
11
11
01
00
11
00
00
10
10
01
00
11
10
00
01
11
11
00
00
11
11
00
00
10
01
00
00
00
00
10
00
00
11
00
11
10
10
10
11
00
00
00
10
10
00
00
00
00
11
01
11
10
00
11
00
10
11
10
00
10
01
11
00
00
11
00
01
00
00
11
00
10
11
00
00
01
10
10
00
01
00
00
10
10
00
00
10
10
11
10
10
01
01
00
01
00
10
00
01
01
10
00
00
11
10
11
00
11
10
10
00
10
10
11
10
00
11
10
00
10
00
00
11
11
10
10
10
10
00
10
00
00
10
00
11
01
00
10
10
00
11
00
01
10
00
00
10
11
00
11
01
10
11
10
10
10
10
00
00
00
10
00
01
10
11
10
10
10
10
00
01
00
10
10
00
11
00
01
00
01
10
00
10
10
00
00
00
10
10
00
10
01
00
01
10
11
10
10
00
01
00
00
10
11
00
10
11
00
00
10
00
00
10
11
10
00
00
01
00
11
10
00
00
01
10
11
10
00
10
10
01
00
01
11
00
01
00
10
01
00
10
10
01
01
01
10
10
11
10
01
01
10
11
00
00
01
10
10
10
01
00
10
10
10
10
10
01
01
00
11
00
00
10
10
00
01
10
11
01
01
00
01
11
10
11
00
00
11
01
11
10
01
00
00
00
00
11
10
00
00
10
00
10
10
00
11
10
01
11
00
00
10
01
00
00
11
10
10
00
11
10
10
00
01
00
10
10
00
01
00
10
10
00
01
10
10
10
00
01
01
11
00
11
10
10
00
10
00
00
10
11
10
01
11
11
00
01
00
00
00
10
01
00
10
00
00
00
10
00
10
10
01
11
00
00
10
10
00
00
11
00
10
01
10
01
00
01
01
00
00
00
10
10
00
00
10
11
01
10
01
10
00
10
01
11
10
00
01
10
00
10
00
00
10
00
10
11
00
10
10
10
00
00
00
10
00
01
00
10
00
01
10
11
00
11
10
00
10
00
10
10
00
11
10
00
01
10
00
00
00
01
00
10
11
00
00
10
11
01
11
10
10
11
00
10
01
00
11
00
00
10
10
10
11
00
10
10
10
11
01
01
00
11
11
10
11
11
11
00
11
10
00
00
00
11
11
01
00
00
10
11
00
00
10
10
01
01
10
10
00
10
10
00
01
10
10
01
00
11
00
01
10
10
10
00
11
10
11
01
00
00
00
11
10
10
10
10
10
00
00
01
00
00
00
00
10
00
00
11
11
11
01
01
01
10
11
10
00
00
00
11
10
11
00
01
00
00
10
00
00
10
10
00
11
00
00
11
00
10
10
11
10
10
00
00
00
10
00
11
11
01
00
00
00
00
10
01
11
10
11
00
10
10
01
11
10
10
00
10
01
01
10
10
00
01
10
01
00
11
10
10
11
10
00
00
00
10
10
00
01
10
01
00
11
11
10
01
00
00
10
11
01
01
10
01
10
00
11
01
10
01
01
10
01
01
10
10
00
00
11
01
01
10
10
00
01
10
10
00
10
00
01
11
01
00
00
00
11
00
11
10
01
11
01
10
10
10
00
01
10
11
01
00
10
10
00
01
10
11
10
00
00
01
00
10
00
00
01
00
01
10
01
10
00
00
10
10
00
01
11
10
01
11
00
10
00
10
11
10
00
01
00
00
11
11
00
10
10
01
10
10
00
00
10
10
00
10
01
10
11
00
00
00
11
11
00
01
10
00
00
00
10
10
11
10
01
01
11
00
10
11
00
01
10
10
10
00
11
10
10
00
00
10
00
11
01
11
10
01
10
00
11
11
00
10
10
01
10
10
00
00
00
00
00
10
00
10
11
11
11
00
10
00
10
00
01
10
01
01
00
00
00
00
10
10
10
00
00
11
11
01
10
11
10
00
10
00
00
11
01
00
10
10
10
10
00
00
00
01
10
01
10
00
01
10
11
11
11
00
10
11
11
00
00
10
10
00
11
01
01
10
01
11
10
11
10
00
01
01
10
00
00
11
00
00
11
00
00
10
00
11
10
11
10
00
01
10
00
00
10
11
10
11
11
11
00
01
01
00
10
11
01
00
01
10
00
00
10
11
11
10
11
01
11
10
00
10
00
00
10
11
00
01
10
10
10
01
10
01
11
10
10
00
10
10
01
01
01
10
10
01
10
10
00
01
00
11
10
00
11
10
00
10
00
00
00
10
10
10
10
10
00
00
00
00
10
01
10
00
01
00
00
10
00
10
01
00
11
01
10
01
10
01
01
11
11
00
10
10
11
10
00
11
10
10
00
10
00
00
00
11
10
00
00
10
10
00
11
00
10
00
10
00
00
11
11
01
00
10
10
00
00
10
01
11
10
11
10
01
00
11
00
00
11
10
01
10
10
00
10
10
00
00
10
00
10
10
10
01
10
11
01
11
10
11
01
00
11
00
10
10
00
00
10
01
00
00
01
11
11
01
11
10
10
01
01
10
10
01
00
10
01
00
10
01
00
10
10
00
10
00
00
00
11
00
10
10
11
00
00
10
01
00
11
00
10
10
10
10
01
00
10
10
01
11
11
00
01
10
10
01
10
00
00
10
10
11
11
00
00
01
01
11
01
01
10
01
10
10
10
00
01
10
11
00
10
10
00
00
10
10
00
01
00
11
01
00
00
00
00
10
11
01
00
10
01
11
10
00
10
01
01
10
11
01
11
11
10
01
10
10
00
11
10
01
00
00
00
11
00
00
00
10
01
00
01
10
01
10
10
00
11
00
00
01
10
11
00
11
10
10
00
01
10
10
10
00
00
00
11
10
00
10
01
01
11
10
10
00
11
11
01
01
10
00
00
10
10
01
01
10
10
10
01
10
10
01
00
00
10
10
01
00
10
00
00
10
10
10
10
11
01
00
01
01
00
01
10
01
11
11
00
10
00
00
10
10
00
01
11
00
00
00
00
10
10
10
10
00
00
00
00
10
00
01
11
00
10
10
10
00
01
10
10
11
11
01
00
10
01
00
00
10
11
00
00
10
10
00
00
10
10
00
00
10
11
00
11
10
00
00
10
01
00
11
10
00
10
10
11
10
10
00
10
10
00
10
10
00
00
10
10
01
00
01
11
01
00
10
11
10
01
00
10
11
10
00
01
11
00
00
11
10
10
01
11
00
01
00
01
01
11
10
10
10
00
11
10
10
01
00
11
00
00
10
10
00
11
10
00
00
11
10
00
10
10
10
01
00
10
10
11
00
00
10
10
11
11
01
10
11
00
01
01
10
11
00
01
00
10
10
10
01
01
11
10
00
00
00
00
11
10
00
01
11
10
00
01
10
10
00
10
00
00
10
10
00
00
11
00
01
00
11
10
00
10
00
11
00
00
10
11
01
00
10
01
10
10
00
00
10
11
00
01
01
10
10
01
10
00
00
10
00
10
11
10
01
00
01
00
10
00
10
00
00
11
11
10
00
00
11
10
10
10
00
11
01
10
00
10
00
00
10
10
10
11
10
00
00
00
11
10
10
00
00
00
00
10
10
00
00
11
00
10
10
10
00
10
11
01
10
10
00
10
10
00
01
10
01
10
01
00
10
00
00
10
11
00
11
10
10
11
00
00
10
10
00
01
10
01
11
01
10
11
00
01
10
10
01
00
10
11
11
10
11
01
00
10
11
01
10
10
11
00
01
01
00
00
10
01
10
10
00
00
10
10
10
00
10
01
10
10
00
10
10
10
00
01
10
01
01
00
10
10
11
00
01
10
10
01
11
10
01
10
00
10
00
11
00
01
10
11
10
10
01
11
10
01
10
00
10
11
11
10
01
11
01
10
00
00
10
00
00
10
01
11
10
01
00
01
00
00
11
10
10
00
00
11
11
10
10
11
00
00
11
00
00
10
10
10
11
10
01
00
10
01
10
11
01
11
10
00
10
00
10
10
01
10
10
01
10
01
11
10
11
11
01
00
10
01
10
00
10
01
00
10
00
10
10
11
01
10
10
10
01
00
01
10
01
00
00
10
11
00
00
00
10
11
00
00
10
01
00
00
11
10
10
00
10
10
00
00
11
01
00
11
11
11
10
00
00
01
10
10
11
01
10
10
00
00
10
11
00
11
10
11
01
01
11
10
01
00
10
10
10
01
01
00
11
00
10
11
01
00
10
11
00
10
11
01
10
11
00
00
00
01
10
11
10
01
01
01
10
01
11
10
01
01
01
10
10
00
01
00
10
11
00
01
11
10
00
00
10
11
01
01
11
11
01
11
11
10
00
00
10
10
00
01
10
10
00
01
11
00
11
10
00
01
10
00
10
00
00
11
11
10
00
11
00
10
00
01
10
10
00
10
10
00
01
10
01
00
10
10
00
00
10
01
01
10
10
10
00
11
10
01
00
10
10
00
01
11
00
00
10
00
00
10
10
11
01
10
00
01
00
01
00
10
10
00
11
10
10
00
01
01
00
10
00
11
00
11
11
10
00
00
10
11
10
00
00
00
00
11
00
10
10
10
01
00
00
11
01
10
00
00
10
11
00
00
00
10
11
10
01
00
00
00
11
11
10
00
10
00
00
10
00
00
00
00
01
01
10
10
11
01
10
00
00
10
10
00
10
00
10
10
10
00
00
10
10
10
00
10
01
00
10
11
01
10
01
01
10
01
10
01
00
01
11
10
01
00
00
10
00
00
00
01
10
00
01
00
00
01
01
10
00
00
10
11
10
10
00
01
10
00
00
10
01
10
10
00
11
01
11
10
10
00
00
10
00
10
11
10
11
00
00
01
01
11
10
00
00
01
10
01
00
10
10
00
11
11
01
00
10
10
00
00
11
10
00
00
11
11
00
01
00
11
10
01
10
10
00
01
00
11
11
00
00
00
10
10
00
00
01
10
00
10
10
10
10
00
00
00
00
01
10
00
11
01
10
10
01
10
10
10
00
00
01
10
01
00
10
10
10
10
01
01
10
00
00
01
00
01
10
00
00
01
00
11
11
01
01
11
10
10
11
00
01
11
10
00
00
10
10
00
00
10
10
00
11
00
11
10
10
11
00
10
10
00
00
00
10
11
01
01
11
00
10
10
01
00
11
10
01
00
11
10
11
10
00
00
10
10
00
00
10
10
00
11
01
00
01
11
10
00
11
00
10
11
01
00
11
10
01
00
01
00
00
10
10
00
10
00
00
11
00
01
10
01
10
00
00
10
10
01
00
11
00
00
00
11
10
00
00
10
00
00
00
00
00
01
01
10
10
10
00
11
00
00
11
10
00
10
10
00
00
00
01
10
11
10
01
00
11
00
10
10
00
00
11
00
00
00
00
10
10
00
10
10
10
00
00
00
10
10
10
01
00
00
10
10
01
10
01
10
11
00
11
11
01
00
10
00
10
11
01
00
11
10
00
01
01
01
10
10
00
00
00
10
10
00
01
10
10
10
01
00
10
10
10
10
00
10
11
00
10
00
00
11
11
10
00
00
00
01
00
00
11
00
01
11
11
11
00
00
00
11
00
00
11
10
00
11
10
00
10
10
10
01
00
01
11
10
10
00
10
00
00
10
10
00
10
10
00
00
00
11
00
00
10
00
11
00
00
10
00
00
11
10
00
00
10
10
10
01
10
10
00
00
10
01
10
10
00
10
11
10
11
00
01
01
11
10
10
10
00
10
10
00
01
11
10
00
10
01
00
10
00
00
11
00
10
10
00
11
00
10
10
10
10
11
01
00
00
11
00
11
00
01
00
11
10
00
10
10
11
00
11
10
10
00
00
00
00
11
10
00
00
10
00
11
00
01
10
11
11
01
10
10
10
00
11
00
01
11
00
10
10
00
00
01
10
10
10
00
00
10
00
00
10
11
00
00
01
10
01
10
11
10
10
11
01
00
11
00
01
01
11
11
10
10
01
01
10
10
01
00
10
10
11
00
10
10
11
00
00
10
00
11
10
11
00
00
00
10
10
01
10
01
00
10
01
00
10
01
11
10
00
11
11
11
00
11
00
00
11
00
01
10
01
00
01
10
11
00
10
00
00
00
10
10
00
10
01
01
01
10
11
10
00
10
10
01
01
00
10
10
00
10
10
00
01
10
10
11
00
11
11
10
00
11
10
11
01
01
01
01
00
00
00
11
10
10
01
00
00
11
10
01
10
11
01
00
10
00
01
01
10
10
10
01
01
11
10
01
00
01
01
00
11
00
00
11
10
00
00
10
11
11
00
10
01
01
10
00
00
10
10
01
01
11
00
01
10
10
00
00
00
00
10
10
00
10
11
10
00
11
10
00
11
01
10
10
00
00
10
00
01
10
11
10
00
10
10
10
00
01
10
01
10
00
00
00
10
10
00
00
00
11
00
10
10
11
11
11
00
01
10
10
11
00
10
10
00
00
10
10
00
00
10
10
00
10
11
00
00
00
10
11
10
11
00
10
10
10
11
00
01
10
00
11
11
00
01
00
10
11
01
10
10
00
01
00
10
00
10
10
01
00
11
11
01
01
11
00
10
10
00
00
10
00
01
00
11
10
00
10
10
10
10
00
01
00
01
11
11
10
11
10
11
10
00
10
10
01
01
00
01
10
01
10
00
11
00
01
01
10
10
10
10
00
10
11
00
01
00
00
00
11
10
00
11
10
10
01
10
10
00
00
00
00
11
00
10
00
01
00
01
00
11
00
10
11
01
00
01
10
10
10
00
00
10
10
00
10
10
00
00
01
00
00
11
10
11
10
01
00
00
10
11
01
00
10
11
11
00
00
10
11
10
10
00
00
10
00
10
11
01
10
00
00
10
11
00
01
00
10
01
00
10
01
11
10
11
00
11
00
00
10
00
00
11
11
01
01
00
11
11
00
10
11
00
01
11
00
10
10
00
11
00
00
11
11
00
00
01
01
10
00
00
10
00
00
10
11
00
00
11
10
01
10
10
01
10
01
10
00
00
01
01
11
11
01
00
00
00
10
00
00
11
11
11
11
11
10
11
00
01
00
11
00
01
00
11
10
10
11
01
10
10
11
00
10
10
01
11
10
10
00
00
10
00
10
00
01
10
11
00
10
11
11
00
01
00
00
10
00
10
11
01
00
00
10
10
11
01
11
00
01
11
01
10
01
11
11
01
11
10
01
10
01
01
10
00
00
11
10
00
01
10
11
10
01
00
00
00
10
01
01
10
01
00
00
00
00
11
00
10
10
00
00
00
00
00
10
01
01
00
11
10
11
10
01
00
00
10
10
10
00
11
00
10
11
01
10
01
01
00
10
10
10
00
11
11
00
00
10
10
11
01
11
10
10
00
10
11
00
11
10
00
00
00
01
11
00
01
10
11
00
10
11
00
00
10
11
01
01
10
01
00
00
00
01
10
11
11
00
10
10
01
10
10
00
10
10
01
10
00
00
10
10
01
01
10
10
00
10
00
00
10
10
10
00
00
10
11
11
00
00
01
10
01
10
00
01
11
01
11
00
00
10
10
10
10
00
00
11
11
11
00
01
10
10
01
11
11
00
11
10
10
00
00
01
00
01
11
11
00
10
00
11
11
10
10
01
00
00
01
10
10
00
11
11
00
11
00
01
10
10
01
01
11
00
01
11
00
00
11
10
01
00
11
00
00
10
00
00
10
01
00
00
10
00
00
01
11
10
10
10
00
00
10
00
00
11
10
01
11
00
01
10
00
10
00
00
01
00
11
11
00
11
11
10
01
10
11
01
11
10
00
10
10
11
00
00
01
00
10
01
00
10
10
10
00
10
11
00
00
10
11
10
10
11
01
01
00
11
00
00
10
10
10
10
00
00
10
00
00
10
01
00
11
10
00
00
01
10
10
10
00
00
00
10
00
01
11
00
10
10
11
10
01
00
11
10
00
00
00
00
10
00
01
00
10
00
11
11
00
10
10
10
00
00
11
10
00
00
11
10
01
10
11
00
11
11
00
00
10
10
01
10
11
01
00
10
00
10
11
01
00
10
00
11
00
00
01
10
00
00
10
10
10
01
11
10
11
10
10
01
00
10
10
00
00
01
01
11
10
00
10
00
00
11
11
01
00
10
00
01
10
11
00
00
10
00
00
01
00
10
10
01
00
11
00
01
10
10
00
11
10
01
00
00
00
11
00
10
11
11
00
10
00
01
11
10
01
10
10
10
11
00
10
11
01
11
10
01
01
10
01
00
10
11
10
00
00
10
10
01
00
11
00
10
00
01
01
01
10
10
10
00
10
10
10
00
10
11
01
01
11
00
11
00
10
01
00
01
10
10
11
00
00
01
10
00
10
10
00
00
10
10
10
00
10
10
10
01
11
00
10
00
00
01
00
11
00
10
11
10
10
00
10
10
00
11
01
00
11
00
01
10
10
10
00
00
11
01
00
00
11
00
10
10
10
00
00
10
10
11
01
01
10
00
00
11
00
00
10
00
11
10
01
00
01
10
11
00
00
10
00
10
00
10
10
00
00
10
10
00
00
11
10
10
11
00
10
10
01
01
11
10
10
11
10
10
10
00
00
10
10
00
10
10
00
00
10
11
01
10
00
01
01
00
00
11
00
10
00
01
11
00
00
01
01
00
10
11
00
01
10
00
10
01
10
11
00
01
01
10
10
11
00
10
00
00
10
10
10
00
00
11
01
10
01
10
10
10
11
00
11
11
00
00
00
00
10
10
01
00
00
10
10
00
10
10
00
10
01
01
10
11
01
10
01
00
01
10
10
10
00
00
10
11
00
00
01
11
00
10
01
11
00
10
10
00
11
00
00
00
10
10
00
10
00
01
00
00
10
10
11
00
10
11
10
11
00
11
10
10
00
11
11
00
01
00
00
10
01
10
00
11
11
10
11
10
11
00
00
00
11
01
11
01
00
10
01
11
10
10
01
00
10
10
01
10
10
10
00
00
00
01
10
10
00
01
00
10
11
00
10
00
10
00
01
00
00
10
11
00
11
10
10
01
00
10
00
11
10
11
01
00
11
01
01
00
11
11
11
00
00
00
10
11
00
11
10
01
10
10
10
00
00
11
10
00
00
11
01
10
01
10
10
01
00
11
11
10
01
11
10
10
00
00
11
00
00
00
10
00
01
01
10
00
00
00
10
00
00
10
01
11
10
10
00
00
01
00
01
10
11
01
11
11
11
10
00
10
00
00
01
11
10
10
10
10
00
10
10
00
00
11
10
00
01
00
11
10
10
10
00
10
00
00
10
00
00
01
11
00
10
10
10
01
10
11
11
00
10
11
11
00
10
00
10
01
00
10
00
00
11
10
00
00
10
00
00
01
11
01
00
01
10
11
01
10
10
00
10
10
00
00
01
00
10
11
01
10
00
00
10
10
11
00
01
11
10
10
11
10
00
10
10
11
00
10
00
10
11
10
10
00
01
10
01
01
10
10
11
00
00
01
10
00
11
10
11
11
00
00
00
10
10
01
00
11
10
10
00
01
01
01
10
11
01
00
10
10
01
00
11
10
11
10
10
01
11
00
10
10
00
00
11
11
00
11
01
00
10
01
01
11
11
01
11
11
11
00
10
10
01
00
10
00
01
01
10
10
00
11
10
00
00
00
11
00
10
11
10
10
00
10
00
10
10
00
00
11
11
01
00
10
10
00
00
10
10
00
00
11
10
00
00
10
11
00
01
11
00
11
01
10
10
11
00
10
10
10
00
10
10
00
01
11
11
01
01
11
10
11
01
01
10
00
00
11
10
00
11
10
00
00
11
00
11
10
10
10
00
10
00
01
10
10
10
11
00
10
11
00
00
11
01
00
00
01
00
10
10
01
00
10
10
00
10
01
01
10
10
11
01
00
10
10
11
01
10
01
00
10
00
00
00
11
11
01
00
11
11
00
00
10
00
00
10
10
11
10
00
11
00
10
10
00
00
10
10
00
11
01
01
10
01
10
11
10
00
00
11
10
10
10
11
00
00
01
01
11
00
00
11
10
01
11
00
00
10
10
01
10
11
00
10
01
01
10
00
10
10
00
00
00
11
11
01
00
10
00
00
01
10
11
01
00
00
00
10
00
11
10
00
11
00
10
00
11
01
00
01
11
11
11
01
10
10
00
00
00
10
10
00
00
11
10
11
11
00
00
11
01
00
00
10
10
00
00
00
10
10
10
00
00
10
00
10
10
11
10
00
10
01
01
00
00
00
00
00
10
10
10
01
01
01
00
10
10
00
00
00
00
10
10
10
11
01
00
00
10
10
01
01
00
10
10
10
00
10
00
01
00
00
00
01
01
11
00
10
11
10
10
10
00
00
11
00
10
01
10
10
10
10
00
10
01
00
11
00
00
00
11
10
00
01
10
10
00
00
11
10
00
01
00
10
10
01
10
10
10
11
01
00
00
11
01
01
10
10
00
00
01
10
01
00
10
00
01
10
00
00
10
01
11
00
00
00
11
10
00
11
00
00
01
10
01
01
00
11
11
01
00
10
11
11
00
00
10
00
00
00
10
10
11
11
01
00
00
11
10
00
00
10
11
00
10
11
00
01
00
01
10
00
00
10
00
00
11
10
10
00
00
10
01
01
00
00
11
01
11
11
01
10
10
00
10
00
01
11
11
00
00
01
10
11
10
11
10
00
10
00
10
11
10
01
10
00
11
10
01
10
00
11
10
00
00
00
10
00
01
01
00
10
10
11
11
10
01
00
01
11
11
11
10
01
01
00
01
11
10
10
10
00
00
11
00
10
10
11
10
11
10
00
01
00
11
11
01
00
01
10
10
11
00
00
11
00
00
10
10
10
01
11
00
01
10
00
01
10
10
10
01
01
01
11
00
00
11
10
01
10
10
00
00
01
10
10
11
01
00
00
10
10
11
10
00
00
10
10
01
00
01
10
10
01
11
10
10
10
00
00
11
00
00
11
10
11
10
01
10
10
01
11
10
00
00
10
10
00
00
11
00
01
00
10
11
00
00
10
10
01
11
00
01
10
10
10
00
11
11
11
10
00
01
00
01
10
00
00
01
11
10
10
11
10
11
10
00
00
00
01
10
01
10
10
00
10
00
00
00
11
11
00
00
11
11
10
10
00
00
10
10
10
11
00
00
00
10
00
00
10
00
11
11
10
11
10
11
10
01
11
00
00
10
00
01
01
10
00
00
00
00
11
01
01
00
11
10
00
00
10
11
00
00
10
00
10
10
11
00
11
01
00
10
10
10
00
00
10
10
00
11
00
00
00
10
10
10
01
00
01
10
00
11
01
11
10
10
10
00
10
01
00
11
00
00
10
10
00
00
10
00
10
10
00
01
10
00
10
10
10
10
01
00
11
10
01
01
10
11
00
11
10
00
10
11
01
00
11
10
00
10
01
00
01
11
00
00
11
11
00
00
11
00
10
00
01
10
01
01
00
00
01
10
10
00
10
10
10
01
00
00
10
11
01
00
00
00
11
10
11
10
00
00
11
10
00
10
11
11
01
01
10
10
00
10
01
00
11
10
01
00
10
10
01
10
11
00
00
00
00
10
10
10
00
00
10
00
00
10
00
00
00
00
10
11
10
00
10
10
00
00
10
00
00
01
11
10
00
01
00
10
11
00
10
11
01
10
11
01
01
00
11
00
10
00
00
10
10
00
00
10
01
00
10
10
11
10
00
10
01
10
10
00
10
10
00
00
00
00
11
10
00
10
01
11
11
10
11
10
10
00
10
10
01
10
10
00
00
01
10
11
10
10
01
01
11
00
10
10
00
01
10
10
00
11
10
10
10
01
00
11
11
00
11
10
00
00
01
10
01
00
10
10
00
00
10
11
01
10
00
00
00
10
10
10
11
11
01
00
00
10
11
10
10
00
00
00
00
10
10
00
11
11
11
10
00
11
00
11
10
10
00
00
00
01
00
11
00
10
10
10
00
10
00
01
10
01
11
10
10
00
01
01
01
10
10
11
00
00
11
00
01
10
01
10
00
10
10
00
10
01
01
00
11
10
00
11
01
00
10
00
00
10
10
00
00
01
11
10
00
11
11
00
00
00
10
10
01
00
00
11
10
00
00
00
10
00
00
00
11
10
01
01
10
10
00
01
00
10
10
01
00
00
01
00
10
11
10
00
10
01
01
11
10
11
10
10
01
10
00
00
01
00
00
00
01
11
00
11
10
10
10
10
00
10
11
01
10
11
11
10
00
10
11
00
11
11
00
10
00
10
10
01
01
01
10
00
00
00
10
00
01
11
11
00
00
10
11
10
10
01
00
11
10
11
10
11
10
00
01
00
01
10
10
11
10
00
01
01
10
00
00
10
10
10
10
00
00
00
10
10
11
10
00
10
11
00
11
11
01
10
10
10
10
00
00
00
00
01
11
11
01
11
00
11
11
11
10
00
10
11
10
00
00
10
10
00
11
10
01
00
10
10
00
00
00
00
10
01
11
00
10
01
00
01
11
10
00
10
00
11
11
10
01
00
00
00
00
10
01
00
10
10
00
10
00
00
11
10
10
01
01
10
01
11
11
11
01
00
10
00
00
01
10
10
00
10
11
11
00
00
00
00
01
11
10
10
00
00
00
11
00
10
10
11
11
01
10
10
01
00
01
00
00
11
10
00
00
10
01
11
11
11
00
00
01
10
00
10
10
01
10
10
10
00
11
00
00
00
01
10
11
00
11
10
01
00
11
11
00
10
10
10
01
10
01
10
11
00
01
00
01
01
00
11
11
10
01
11
01
00
01
00
10
10
10
10
00
00
11
11
01
10
01
10
00
00
11
01
10
10
00
10
01
10
10
01
11
10
10
10
00
01
01
10
01
00
01
11
10
00
00
11
00
10
11
00
00
01
11
01
00
01
10
00
10
11
00
10
11
00
00
10
11
00
11
10
11
01
10
00
01
00
01
11
00
10
01
00
11
00
00
11
10
00
10
11
00
00
10
10
11
00
01
01
11
00
11
10
00
10
10
00
00
11
11
11
11
10
10
00
10
10
10
01
00
00
10
01
00
01
01
00
00
10
11
10
01
11
01
00
10
10
10
10
01
10
11
00
11
00
11
00
00
11
11
10
00
01
10
10
00
11
00
01
11
00
11
00
10
01
01
10
10
00
01
00
00
10
10
11
00
01
10
10
00
10
10
00
00
10
00
10
00
00
00
11
10
11
10
10
01
00
11
11
00
00
10
11
01
00
01
11
11
00
10
00
11
10
01
10
01
01
10
00
01
10
11
11
01
11
11
00
00
10
10
11
10
10
00
00
10
11
00
00
11
11
01
10
10
00
10
10
01
10
10
01
01
00
01
01
10
00
10
10
00
10
11
00
00
10
10
01
10
01
00
10
01
00
11
00
00
11
00
00
10
11
00
00
11
11
10
10
10
00
10
11
01
10
10
00
10
01
10
11
10
01
10
01
10
00
00
00
01
10
11
01
00
10
01
10
11
01
00
00
01
00
10
00
10
10
10
00
11
10
00
10
10
10
10
01
00
00
10
00
00
10
10
00
00
11
10
11
10
01
00
00
00
11
00
00
10
10
01
01
01
00
00
10
11
11
11
01
10
10
01
11
10
11
00
00
10
10
10
00
11
10
00
10
10
11
10
10
00
00
00
01
10
00
10
00
00
01
00
01
00
11
00
10
10
01
00
10
11
11
10
00
00
00
00
10
11
10
00
11
10
00
11
10
11
00
10
10
01
00
10
01
01
11
10
00
10
11
00
11
10
00
10
00
10
10
10
00
00
01
11
01
11
01
01
10
11
00
00
10
11
00
01
00
00
00
11
00
00
00
10
11
01
00
10
01
10
10
01
11
10
10
01
01
10
10
00
00
01
10
10
10
00
01
11
10
10
11
01
10
10
01
11
11
00
00
00
11
11
00
00
10
00
00
00
11
01
10
11
11
10
10
01
01
10
00
10
00
00
01
00
10
01
00
10
10
01
00
10
01
00
01
00
11
11
11
00
11
10
01
10
11
10
00
11
10
00
00
01
01
10
11
00
10
00
00
10
00
10
10
11
01
10
01
11
10
01
01
01
10
01
00
10
00
00
10
11
00
11
00
00
10
00
10
01
10
10
10
01
00
01
10
10
11
00
11
10
00
01
10
00
10
10
00
00
11
10
01
10
00
00
00
00
10
00
01
00
11
01
00
01
01
11
00
01
10
11
10
00
01
00
00
11
00
10
11
00
10
10
10
00
10
11
10
10
11
10
00
00
11
11
00
10
01
10
11
10
00
00
00
10
00
01
10
10
01
00
00
10
01
00
10
11
01
00
11
10
10
11
01
01
10
11
00
00
11
10
00
01
11
10
10
11
00
10
10
01
11
00
11
10
11
10
00
01
10
10
00
10
11
10
00
10
10
00
11
00
10
11
10
10
01
01
00
10
11
00
10
10
01
10
10
00
00
10
10
10
01
10
10
10
10
00
10
11
00
00
00
01
10
00
00
00
01
10
11
00
00
10
10
01
01
10
10
10
01
10
01
01
10
01
10
10
01
01
11
10
00
11
00
01
11
10
00
10
10
10
01
00
10
10
10
01
11
00
00
10
10
10
01
10
01
00
00
00
10
11
00
01
11
00
11
00
01
10
10
11
00
00
00
00
11
01
00
10
11
11
00
11
11
00
11
00
00
10
00
01
10
00
00
01
10
01
00
11
11
01
10
00
11
11
10
00
00
10
11
11
10
00
00
11
00
00
10
00
10
00
00
10
10
00
00
10
01
10
10
00
10
10
00
01
10
00
11
00
00
11
10
00
00
00
01
00
00
10
01
00
01
10
10
00
11
10
10
11
00
10
00
11
11
00
00
10
00
01
00
00
10
01
00
01
10
01
01
10
00
00
00
11
11
00
00
11
10
00
10
01
11
11
00
00
11
11
00
01
01
10
00
11
10
00
00
10
10
11
00
01
01
10
11
00
10
00
00
10
00
01
10
00
10
01
10
11
00
00
01
01
11
01
11
10
11
10
00
00
11
00
00
11
10
10
01
00
10
10
01
01
00
10
00
10
00
10
11
00
00
01
10
10
10
11
10
10
00
11
00
11
00
11
00
00
01
00
00
10
11
00
01
00
10
01
00
11
10
11
00
01
10
10
10
00
00
01
01
10
11
00
11
10
10
11
00
10
11
10
00
10
10
00
11
10
00
10
11
10
01
10
11
10
10
10
00
00
01
10
10
01
11
00
10
10
10
00
01
00
00
10
01
10
11
01
11
10
00
00
11
10
00
11
10
11
00
11
11
10
00
00
00
10
11
00
01
11
10
11
00
01
10
10
10
00
00
11
11
00
11
10
10
00
10
00
00
11
00
00
10
00
10
10
00
10
10
00
00
00
10
11
10
00
01
00
10
01
00
10
11
00
10
10
10
00
01
10
01
10
11
10
10
10
10
00
01
11
11
01
00
01
10
01
10
00
00
10
10
10
00
01
00
10
00
00
11
00
10
11
01
11
10
10
10
10
00
00
00
11
11
00
00
10
10
01
00
11
10
10
11
00
00
00
00
11
01
00
10
00
01
10
01
01
10
11
00
10
00
10
11
00
10
10
00
01
00
00
10
00
10
10
10
01
00
10
00
01
01
10
11
10
11
10
11
11
10
00
00
10
10
01
01
10
00
01
01
00
10
10
00
00
11
01
10
01
11
10
10
00
01
00
01
11
10
10
00
10
01
01
10
10
01
11
00
00
00
10
01
00
10
00
11
00
10
00
10
10
10
01
10
11
00
01
10
10
11
00
10
00
00
10
11
11
11
11
01
01
10
10
10
00
00
01
10
10
11
10
00
00
10
00
01
11
00
01
11
00
11
11
11
01
00
10
00
11
00
10
10
01
00
00
10
00
01
01
10
11
11
10
10
10
11
01
00
01
10
00
00
00
10
00
10
10
01
10
01
10
01
00
11
01
01
00
11
00
00
01
10
00
01
00
00
10
10
00
01
11
10
11
00
00
10
10
10
00
01
01
10
00
10
00
10
10
00
10
10
00
10
10
10
00
00
11
10
10
10
10
00
10
10
01
10
11
01
10
01
00
00
10
00
01
00
11
10
00
00
00
10
10
10
00
00
01
10
00
00
00
10
10
01
00
00
00
11
00
00
10
00
11
10
11
01
10
00
00
00
00
01
10
10
01
00
00
11
10
01
10
00
10
11
11
10
10
11
10
00
01
00
11
10
10
01
00
10
01
00
00
10
11
11
10
01
00
00
10
10
11
00
01
11
11
11
01
00
01
00
10
10
00
01
00
01
10
00
00
11
10
01
00
10
10
11
10
10
10
01
01
11
10
00
00
10
11
10
01
01
00
10
01
11
11
00
00
10
10
01
00
10
10
01
10
00
10
00
01
10
00
01
10
00
10
10
00
00
10
00
01
00
00
10
00
00
11
10
01
00
10
10
10
11
01
00
11
11
10
01
01
11
11
11
00
00
10
00
01
10
11
01
00
10
01
10
11
10
10
01
00
00
01
10
10
01
00
10
10
10
00
11
00
00
01
10
01
01
01
11
00
11
00
01
10
01
01
11
00
11
00
00
11
10
00
10
00
00
10
00
10
00
11
01
00
11
00
01
11
00
01
00
10
11
01
00
00
11
10
10
00
00
11
11
01
10
00
00
00
11
10
11
01
11
10
10
10
11
00
00
11
01
10
10
00
00
00
10
11
01
01
01
10
00
00
10
01
00
11
10
11
11
01
11
00
10
01
10
00
00
11
11
11
11
00
00
10
10
00
10
10
01
00
10
10
00
01
11
10
01
10
00
10
11
00
10
10
10
10
00
01
11
11
00
00
00
00
11
10
00
00
00
11
01
11
10
00
00
00
11
00
00
10
11
10
10
00
01
11
10
11
10
00
00
00
11
01
00
11
11
00
01
10
10
11
00
00
10
00
10
10
00
01
10
00
01
00
10
10
00
10
10
01
11
11
00
10
11
00
10
10
10
00
10
11
01
10
00
00
00
00
10
01
00
11
00
10
10
00
01
10
00
00
10
00
11
11
00
01
11
00
00
00
01
11
11
00
11
10
00
11
00
00
00
00
10
00
10
01
10
00
01
10
10
01
00
00
00
10
10
10
00
01
10
10
00
11
10
10
11
10
00
00
00
11
11
01
01
00
11
00
10
10
00
01
11
10
01
00
00
10
00
00
00
11
11
00
11
11
01
01
10
11
00
00
01
10
11
00
00
10
00
00
10
10
00
00
00
00
10
00
00
11
10
10
00
11
00
11
11
00
11
00
01
01
10
10
11
00
10
00
00
00
00
00
11
10
00
00
01
10
00
10
11
10
00
00
10
00
10
10
11
10
00
00
10
01
01
01
10
10
10
01
00
10
00
01
10
00
01
11
10
11
01
00
10
10
10
11
00
00
10
00
01
10
10
01
11
11
11
00
00
10
11
01
11
10
01
10
00
01
10
01
01
10
10
00
00
10
10
00
10
00
00
11
01
10
00
11
10
00
11
10
00
00
00
00
00
00
10
00
01
01
01
00
00
00
10
11
00
11
10
00
00
00
00
00
00
11
11
00
00
11
11
10
11
01
00
00
01
10
10
10
01
11
11
01
01
00
01
00
10
10
00
00
00
11
10
11
11
00
11
01
10
10
00
10
00
10
11
00
00
00
01
11
01
00
00
10
00
10
10
00
01
10
10
01
00
00
10
10
00
10
11
00
00
00
10
01
01
10
11
00
00
10
10
10
01
00
11
00
01
10
00
10
00
10
10
00
00
01
10
10
00
10
10
10
01
00
11
11
01
00
11
10
01
10
01
00
11
01
01
10
10
00
00
10
00
11
10
01
00
00
10
00
00
11
00
00
10
01
11
10
10
00
10
11
00
11
10
01
10
00
10
00
10
11
01
10
00
00
01
10
11
01
10
00
00
00
10
01
10
10
01
10
01
01
10
10
00
00
10
01
01
10
11
10
10
01
01
10
10
00
00
11
00
11
01
01
11
01
00
10
00
00
10
10
00
11
10
10
00
11
10
00
01
01
01
10
00
01
11
10
01
10
10
11
01
10
11
00
10
10
11
01
00
11
10
11
00
01
00
10
01
00
00
01
10
00
10
00
00
10
10
00
10
11
10
11
10
00
00
10
10
00
00
10
00
10
01
11
10
11
00
10
11
11
10
00
00
10
10
11
00
00
00
00
10
00
00
10
10
10
00
10
00
00
00
00
11
00
01
10
10
00
10
01
00
11
11
10
01
00
00
10
11
10
01
01
11
10
01
00
11
10
01
01
00
11
10
01
00
10
00
00
10
10
10
00
10
10
10
00
10
10
11
10
10
00
00
01
10
00
10
01
00
11
11
10
11
01
11
11
11
01
10
00
00
00
10
11
01
01
00
00
10
11
00
10
10
00
00
10
10
00
10
10
10
11
00
00
00
11
11
11
00
00
01
10
10
00
10
11
10
00
01
10
00
00
00
10
10
01
01
01
10
00
10
11
10
11
10
01
00
10
01
11
01
00
10
10
11
10
11
00
01
00
11
00
00
10
10
11
00
01
10
11
00
00
10
01
10
10
10
00
10
01
01
11
00
01
01
11
11
00
10
10
00
10
01
00
10
10
10
11
00
01
00
01
10
01
11
00
10
10
01
01
00
10
11
00
10
00
10
11
10
01
00
10
00
11
00
00
00
11
10
10
10
01
00
00
10
10
00
01
00
01
11
10
10
00
10
11
00
01
00
11
01
11
11
10
10
01
11
10
10
00
10
10
10
11
00
10
10
01
01
10
11
10
11
10
00
00
10
00
00
10
10
10
00
10
10
11
01
00
00
00
00
00
11
10
00
00
01
00
00
00
00
10
00
00
10
10
00
01
11
00
00
10
11
01
00
10
10
10
11
11
00
00
10
00
01
00
01
10
00
11
11
10
01
01
11
10
10
01
10
11
00
00
10
00
00
10
10
00
00
11
10
10
00
10
10
00
10
00
01
10
00
00
00
00
10
00
01
10
10
01
00
10
10
10
10
10
00
00
00
11
01
10
00
00
11
01
11
10
11
00
10
00
01
10
10
00
01
00
00
01
00
11
00
10
10
10
10
00
10
00
01
00
11
00
01
01
01
10
10
11
10
01
00
01
10
11
01
00
10
10
00
10
11
00
10
00
10
00
10
10
00
11
10
00
00
00
10
01
01
10
00
10
00
00
10
11
00
00
01
00
10
01
10
11
10
00
10
00
00
10
10
01
00
11
00
00
10
00
10
00
10
10
10
01
10
10
00
00
00
11
00
00
01
10
00
00
10
10
10
10
00
00
11
00
01
00
10
10
00
01
10
11
01
10
00
01
11
10
10
00
10
00
11
10
11
10
11
00
00
00
00
00
10
01
00
11
10
00
00
10
00
01
00
11
00
00
00
10
01
10
00
10
01
01
11
00
10
10
01
00
11
11
10
00
10
01
01
01
10
11
11
00
10
00
00
11
00
11
10
01
01
10
10
00
01
11
10
10
00
00
10
10
10
00
00
11
10
01
00
10
11
10
10
10
10
00
10
10
01
00
10
10
10
01
10
10
01
00
01
10
10
01
11
11
00
10
11
10
10
00
00
10
11
01
11
10
00
00
01
00
11
00
00
11
10
00
11
10
00
00
10
10
10
00
10
01
00
11
10
01
10
00
10
10
01
01
00
11
11
11
01
11
01
00
01
10
00
00
10
11
01
00
10
01
00
00
11
11
01
10
00
00
10
10
01
00
10
10
10
11
10
10
10
00
10
00
00
00
11
00
11
11
00
10
00
10
00
10
10
11
10
11
11
10
01
00
01
10
00
00
01
00
10
01
00
11
01
10
00
00
10
10
00
00
00
01
01
01
00
10
11
10
11
00
11
10
11
01
00
10
00
10
11
10
10
10
11
00
01
01
00
00
10
10
10
10
01
10
01
11
11
10
01
00
01
11
11
00
10
01
00
10
00
00
11
01
00
10
01
10
00
10
01
00
00
10
10
10
00
11
10
10
00
00
00
01
10
01
01
01
11
01
11
11
01
00
10
01
00
10
11
10
00
10
11
00
00
10
00
00
00
11
10
00
10
10
00
10
00
11
11
00
10
11
00
01
00
00
10
10
00
00
10
00
00
10
11
10
10
00
00
10
11
10
01
10
10
00
00
10
00
10
10
00
00
00
11
11
00
00
10
00
10
10
00
00
00
10
10
10
00
11
10
10
11
11
10
01
01
11
10
11
01
00
01
10
11
00
10
11
10
00
00
11
00
01
00
11
10
01
11
10
00
00
00
11
01
01
11
11
10
01
00
10
01
01
00
01
10
11
10
11
10
00
01
00
10
10
01
10
10
10
11
00
00
00
01
10
10
00
11
11
00
00
10
10
01
11
00
10
00
10
01
11
01
11
10
01
11
00
10
00
00
01
01
11
00
10
10
00
01
10
00
00
11
11
10
01
10
10
10
10
00
00
00
10
01
00
01
00
10
10
01
10
11
00
01
00
00
00
10
10
00
10
10
10
00
10
01
00
01
00
00
00
00
10
11
00
11
10
10
00
01
00
10
01
00
01
10
10
01
11
01
11
10
00
10
10
00
11
01
01
11
00
11
10
01
00
10
10
00
00
11
11
00
11
00
11
11
11
00
00
11
11
10
10
10
00
10
11
00
00
10
10
10
10
10
00
10
00
00
11
10
00
10
10
00
01
00
10
10
01
11
11
10
01
10
10
01
00
11
00
10
10
00
10
01
10
10
00
00
01
01
10
10
00
00
10
00
01
10
10
00
00
10
10
00
00
00
10
10
00
01
10
11
01
10
10
00
10
00
11
10
00
00
01
00
10
10
10
00
00
10
01
00
01
10
10
01
00
10
00
01
00
10
10
10
00
11
00
10
10
00
00
10
00
00
00
10
00
10
11
10
00
10
11
00
00
10
00
10
00
00
00
00
10
01
00
00
10
00
01
10
01
00
11
10
01
10
01
00
00
11
11
00
10
01
10
01
00
10
00
10
00
00
11
10
00
00
10
11
01
00
01
00
01
10
10
10
11
11
01
11
01
01
00
01
10
11
10
00
00
01
10
11
01
01
10
00
10
11
00
11
10
01
00
01
01
01
00
10
10
00
10
10
00
01
00
01
10
10
01
01
11
10
00
10
01
00
00
10
01
00
01
10
10
00
10
11
00
01
10
10
10
00
01
10
10
01
11
10
10
00
00
10
10
10
11
00
00
11
01
10
10
10
10
01
11
10
10
10
00
10
01
11
00
00
11
11
00
00
10
01
00
01
11
01
10
00
01
11
00
10
10
01
10
11
10
11
11
10
10
10
11
00
00
11
00
00
00
10
10
11
10
10
10
10
11
00
00
10
00
00
00
00
00
11
10
00
11
11
00
11
00
00
10
00
00
01
00
10
10
00
00
11
10
00
11
10
01
00
00
10
11
01
00
10
10
01
00
01
10
00
10
01
00
10
11
00
01
10
10
10
01
10
00
00
11
11
11
10
01
10
10
00
00
10
10
00
01
10
10
00
00
01
10
00
10
01
00
00
01
10
11
11
00
01
10
10
00
10
10
10
00
00
10
11
11
00
00
01
11
11
11
10
00
10
00
00
00
10
11
11
11
10
00
00
11
00
10
11
01
00
10
00
10
10
00
01
01
11
00
00
10
00
10
10
00
10
10
10
00
00
00
00
10
11
00
10
00
10
11
01
00
01
01
10
00
00
00
11
11
11
10
00
00
11
10
10
11
00
10
11
10
11
10
01
01
11
11
01
10
01
11
11
11
00
00
10
01
10
10
01
10
00
00
10
00
01
10
00
00
11
01
10
11
01
00
11
10
00
10
11
11
01
10
10
00
11
00
01
00
11
11
00
01
10
11
00
10
10
11
00
01
10
11
00
01
01
11
10
01
10
01
00
10
00
00
00
11
10
01
00
00
00
11
00
10
10
00
01
11
01
00
10
01
00
11
10
00
00
10
10
10
10
00
00
11
10
10
11
00
01
00
01
11
00
11
11
00
01
10
10
00
01
01
10
01
11
11
00
01
00
11
10
00
10
00
00
10
10
00
01
10
10
00
00
00
10
10
10
01
01
00
00
10
01
00
00
01
10
11
00
00
00
00
01
10
10
00
01
00
00
10
10
11
10
11
10
00
10
10
01
00
11
00
10
00
00
10
10
00
00
10
00
01
10
00
11
10
01
10
10
10
10
10
00
00
11
10
01
01
11
11
01
10
10
00
00
00
00
10
00
01
00
01
11
00
11
10
00
00
11
00
11
10
10
11
00
00
00
00
10
00
00
11
11
00
11
10
10
00
10
10
01
00
11
11
00
00
11
10
00
10
10
00
00
11
10
01
01
00
10
10
00
10
00
11
00
00
00
00
10
01
00
11
00
01
00
00
11
00
00
10
11
10
11
01
01
00
00
00
11
01
01
00
11
10
01
01
00
10
00
00
10
10
00
00
01
11
00
00
01
10
10
11
00
10
11
11
10
11
00
00
00
10
11
00
01
11
10
00
10
00
00
01
11
00
11
10
00
11
10
00
00
00
10
10
01
00
11
01
11
10
00
10
10
10
01
10
11
01
11
10
10
10
10
10
00
01
01
00
10
01
00
11
11
11
11
11
00
10
00
00
00
01
11
01
01
10
10
11
00
01
10
10
10
00
10
10
11
00
00
10
10
00
00
10
00
10
10
10
10
10
00
01
10
10
10
10
00
00
01
00
10
00
00
10
10
11
01
11
10
11
00
00
10
00
00
01
00
10
10
10
10
00
00
10
11
00
00
00
00
10
01
00
10
10
00
10
10
10
01
10
11
10
01
10
00
00
00
11
10
11
00
00
11
11
11
10
10
01
01
10
10
10
01
00
10
00
00
10
11
10
10
10
10
00
00
10
10
11
00
11
00
00
01
10
10
00
10
01
00
00
11
00
11
10
01
10
10
10
00
10
10
00
10
01
10
10
00
00
00
00
01
10
00
11
10
10
01
00
00
11
10
01
10
01
01
10
10
00
11
11
10
01
01
11
10
11
01
10
11
00
11
00
10
00
11
10
01
01
00
00
11
00
00
00
10
11
01
10
10
00
10
00
00
10
11
01
01
00
10
10
00
10
00
00
11
10
10
00
00
00
00
00
10
01
00
00
00
10
00
01
10
10
10
01
01
10
10
10
01
00
01
01
10
11
11
11
00
10
01
00
10
11
10
00
00
10
10
10
01
01
10
11
00
00
00
10
01
01
01
10
10
01
10
10
10
00
01
10
00
10
00
10
10
10
11
01
10
11
10
00
00
01
10
11
00
01
10
10
00
00
00
01
10
11
00
00
11
00
01
10
00
00
10
10
11
10
01
00
00
10
10
11
10
00
01
10
10
10
10
00
00
10
11
00
00
11
10
00
01
00
01
10
10
10
01
11
00
11
11
01
00
00
00
10
10
00
10
10
10
00
01
01
00
10
10
00
00
11
11
10
01
00
10
00
00
10
01
01
10
11
10
01
00
01
00
11
00
01
00
10
10
11
10
00
10
11
10
01
11
00
10
00
01
00
10
10
00
01
11
01
00
00
10
11
01
00
10
11
00
00
10
00
00
00
10
10
00
00
00
10
10
00
01
10
11
00
10
10
01
00
10
10
01
00
11
00
01
00
10
10
00
00
10
10
00
10
10
01
11
01
01
10
10
10
01
00
11
10
11
00
00
11
10
11
10
10
01
00
00
11
11
01
00
00
00
10
10
00
10
10
00
01
00
11
10
00
10
00
00
00
11
00
10
10
00
01
00
10
00
00
10
10
10
10
10
00
10
00
00
10
01
10
00
01
00
01
11
10
01
01
10
10
11
01
00
00
10
10
01
00
01
00
00
00
10
01
11
01
00
00
11
00
10
10
10
11
01
10
00
10
11
00
00
10
00
00
01
10
00
10
00
00
00
10
10
11
11
10
11
00
01
01
11
01
00
00
10
10
01
10
10
01
00
10
11
10
10
01
10
10
00
00
01
10
10
10
00
00
00
00
01
10
00
01
11
00
11
00
01
01
11
11
00
00
00
01
01
01
11
10
01
10
00
00
01
11
11
10
11
01
00
10
10
10
00
01
01
10
10
00
00
01
11
00
10
11
11
10
10
01
00
10
10
01
00
11
10
10
10
01
11
10
00
00
00
11
00
10
11
00
01
01
10
10
11
10
10
10
00
10
11
00
01
10
10
01
01
00
10
10
00
00
10
00
00
00
10
01
00
11
10
10
01
01
00
01
10
11
11
00
11
11
11
00
11
00
11
10
00
00
10
10
00
01
10
10
10
10
01
10
00
00
10
10
01
01
00
10
01
01
11
11
01
10
01
11
11
00
00
00
10
10
11
11
01
01
11
00
10
01
10
10
11
11
00
11
10
00
11
00
00
10
00
00
00
10
10
10
11
10
00
10
10
10
10
01
00
10
10
10
10
00
10
10
00
00
01
10
10
10
00
00
10
10
10
01
10
10
00
00
00
10
10
01
00
00
10
00
10
01
10
10
00
11
00
10
10
00
10
11
10
01
10
11
00
11
10
01
00
11
00
01
10
00
11
10
10
01
01
11
10
01
10
00
01
10
10
11
01
00
00
10
00
00
00
10
00
00
00
10
01
10
10
01
00
01
11
00
00
10
10
00
11
11
11
11
00
01
11
11
00
00
10
00
00
11
10
01
00
01
10
11
11
11
00
00
00
10
11
01
00
01
10
11
00
01
00
10
10
01
00
00
00
10
10
01
10
00
00
10
01
10
00
00
00
10
10
10
10
10
00
00
10
00
10
01
01
10
11
00
00
00
10
01
11
01
00
00
11
10
01
10
10
10
10
00
00
01
10
01
00
11
00
10
00
11
00
00
10
10
00
00
00
00
10
10
01
01
10
10
10
01
01
11
00
01
00
00
00
00
10
10
01
00
10
00
11
10
10
10
00
00
00
10
11
00
00
10
10
11
00
01
10
10
10
11
00
00
10
11
10
01
11
10
00
00
01
01
00
01
00
11
10
00
10
11
10
11
00
00
00
10
10
00
10
11
00
10
00
00
11
10
10
00
10
11
00
01
11
11
00
11
00
11
10
00
10
10
00
00
01
10
00
11
10
01
00
00
10
00
00
10
00
10
00
10
11
01
11
00
00
11
00
10
11
10
01
10
10
01
00
00
11
10
11
10
00
10
01
10
11
11
00
01
00
10
00
10
11
10
00
00
01
11
01
10
01
00
10
10
01
10
10
00
10
01
00
00
00
01
10
11
10
00
11
11
11
00
01
11
00
11
10
00
10
10
00
01
11
10
10
00
01
11
10
00
11
10
01
10
11
00
10
10
00
10
10
10
00
00
10
01
00
00
10
10
10
01
10
10
00
00
10
10
00
11
00
10
11
01
10
11
11
00
10
10
10
00
10
10
01
00
00
10
00
01
01
10
00
10
10
10
00
00
10
10
00
00
01
10
11
11
00
10
01
01
01
00
11
01
00
00
11
00
10
11
11
00
11
11
00
11
11
00
00
10
10
01
00
10
10
00
00
00
00
10
00
10
00
00
00
01
00
00
01
00
10
00
11
11
10
00
00
10
10
10
10
10
00
00
10
00
11
10
10
00
10
01
11
11
01
00
00
10
00
10
01
00
10
11
10
10
10
10
00
01
01
00
10
11
11
10
00
11
01
00
11
00
00
10
10
11
01
00
10
10
10
00
10
00
11
10
11
00
00
00
00
10
10
10
10
00
11
11
01
10
00
11
00
00
10
00
00
01
10
11
00
01
10
00
10
10
10
00
00
00
01
00
11
01
10
10
10
01
11
11
01
00
00
10
01
11
00
00
10
00
00
10
00
10
10
00
00
11
10
00
10
01
11
10
11
00
00
00
00
11
10
10
10
01
00
01
10
00
10
00
10
10
11
10
11
01
10
00
00
00
10
10
01
11
11
01
01
10
11
01
11
10
10
00
01
10
11
00
00
10
00
11
10
00
00
11
10
11
00
10
10
10
00
00
00
10
10
00
00
10
10
00
10
00
11
10
00
10
01
10
10
01
10
11
00
01
00
01
00
10
00
00
00
10
10
10
00
00
10
10
10
00
10
11
10
00
00
01
10
11
00
11
00
11
00
00
01
10
10
01
01
00
10
10
10
00
00
11
10
11
01
00
00
01
11
01
11
10
11
11
11
00
00
10
00
10
11
00
00
10
11
00
10
10
11
11
11
00
11
00
11
10
11
01
01
00
00
00
10
01
10
10
00
01
10
01
00
00
10
00
11
01
01
10
00
01
10
01
00
00
10
10
00
00
10
11
10
00
10
10
01
00
00
00
10
10
00
00
00
10
01
10
01
00
00
00
00
10
10
10
00
00
10
01
01
10
10
11
10
01
11
00
00
10
00
10
01
11
11
01
10
10
01
01
10
10
00
00
01
11
01
00
01
10
11
01
01
10
10
00
10
00
00
10
10
00
10
00
01
10
10
10
10
10
10
00
01
01
01
11
10
11
11
10
00
10
10
01
10
10
10
10
00
11
10
01
11
10
10
11
10
01
10
10
00
11
01
00
00
10
10
00
01
00
00
10
10
10
10
00
10
00
10
01
00
10
10
01
00
11
11
00
00
01
00
10
10
00
11
10
10
11
11
00
10
11
10
00
00
11
00
00
00
01
10
10
00
11
11
01
01
11
10
01
00
11
00
11
01
01
10
01
10
10
00
00
11
10
00
01
11
01
00
11
11
00
01
00
00
01
01
10
00
00
10
00
11
00
00
10
00
00
10
01
10
10
00
10
11
10
11
01
11
10
00
00
10
00
00
01
10
11
11
11
00
01
10
11
00
00
00
00
11
00
00
01
10
10
10
11
11
10
11
01
11
11
11
11
00
11
00
10
10
00
00
01
01
10
11
10
11
00
00
00
10
01
01
11
11
10
10
10
00
01
00
10
00
00
11
11
10
10
10
01
11
10
00
00
10
10
00
11
00
10
00
10
00
11
11
00
10
00
10
00
10
10
01
10
11
00
11
00
00
00
11
11
01
11
00
10
10
00
10
01
01
10
10
00
10
00
00
11
00
00
10
00
11
10
11
01
11
10
10
10
10
00
00
11
11
11
10
00
00
00
10
00
11
10
10
10
10
00
00
01
10
10
11
00
10
00
00
11
11
10
00
00
10
00
11
01
11
01
10
01
00
10
00
10
00
00
10
11
00
00
11
10
10
00
00
00
01
00
00
11
11
01
10
10
01
00
01
11
00
00
10
10
11
11
00
01
00
10
10
00
10
10
01
00
01
01
10
10
11
01
00
01
01
01
11
00
10
11
10
10
00
01
10
01
10
10
10
00
10
10
10
00
00
00
10
10
10
00
10
10
00
10
00
00
10
11
00
10
00
00
00
01
00
10
10
00
11
00
10
01
00
10
11
00
01
00
01
00
00
00
10
10
00
11
10
10
00
11
00
00
01
00
10
11
10
10
01
11
01
11
10
00
11
10
01
01
10
10
01
11
10
10
00
00
10
01
10
01
00
00
10
11
10
11
10
11
10
01
00
00
11
11
01
01
01
11
00
11
11
01
10
00
01
11
10
01
00
10
00
10
10
01
10
11
00
10
10
11
10
01
00
10
11
00
01
10
01
11
00
10
01
00
11
01
01
10
10
11
10
00
00
01
01
00
10
00
11
10
10
10
10
01
00
10
00
10
00
10
10
01
10
11
10
00
00
00
11
00
11
10
00
10
01
00
11
00
01
00
10
10
01
01
01
00
10
00
01
11
11
10
01
11
10
00
00
00
01
11
11
00
00
00
10
11
11
10
00
00
00
10
00
00
10
11
10
10
00
11
10
01
00
10
00
00
00
00
00
10
10
00
10
00
01
00
01
11
01
10
01
10
10
11
10
01
10
00
00
10
10
10
10
11
01
01
01
00
10
10
11
00
00
10
10
00
10
10
00
10
00
10
00
00
11
01
10
10
11
01
01
11
11
01
10
00
00
11
11
00
00
00
10
01
01
11
10
10
00
00
01
01
00
10
11
11
00
10
00
11
11
11
10
01
01
10
00
10
10
00
00
10
00
10
00
00
10
10
00
10
10
11
01
00
00
10
10
10
10
01
00
11
00
10
00
10
11
10
10
00
00
01
11
01
10
10
10
10
01
00
10
10
00
10
00
11
00
00
00
00
10
10
10
10
01
00
10
11
00
00
10
00
10
10
11
10
00
01
11
10
11
10
00
01
00
00
11
10
00
10
10
10
00
01
11
01
00
10
10
10
00
11
11
00
01
00
00
10
10
01
00
00
11
00
00
00
01
10
01
01
10
11
00
00
10
01
01
10
10
00
00
00
11
10
10
00
00
10
01
11
01
01
00
10
10
10
10
01
10
00
00
10
10
11
00
01
11
10
10
00
00
11
10
01
00
10
00
00
00
11
10
00
00
00
00
10
10
11
00
00
00
00
10
00
00
10
00
00
10
01
10
10
11
00
00
11
10
10
01
11
11
10
00
00
00
10
10
11
10
10
00
00
10
00
00
10
00
01
01
01
00
01
11
10
10
10
11
01
10
00
01
00
10
01
01
00
00
01
11
10
00
10
00
00
10
01
00
11
11
00
00
10
10
00
10
10
10
00
10
11
10
01
01
10
01
01
10
11
01
11
00
01
11
10
10
01
00
10
01
00
11
00
11
10
11
01
00
00
10
11
00
00
10
01
11
00
01
10
00
10
00
00
01
10
10
10
11
10
10
10
00
00
10
10
00
10
11
10
00
01
10
00
00
10
11
00
01
11
10
00
00
00
00
00
10
11
10
01
10
11
01
10
10
10
01
01
10
01
11
00
00
11
11
00
10
10
00
00
00
00
00
10
11
10
10
00
10
01
00
00
11
11
00
10
01
00
01
11
01
01
11
10
11
10
01
10
10
01
10
11
00
00
10
01
00
00
11
10
01
10
01
00
00
10
10
00
10
10
00
10
11
10
10
01
11
00
01
10
00
01
11
11
10
00
01
00
00
00
10
01
11
11
10
00
10
00
10
10
00
01
11
00
01
00
10
00
10
10
10
01
00
00
10
01
00
01
10
11
10
10
00
01
00
00
10
10
01
10
10
00
00
10
01
00
10
01
00
11
11
00
00
00
10
00
00
00
10
00
10
00
00
10
11
10
00
00
10
01
01
00
11
01
01
11
10
01
11
01
00
00
10
10
01
11
00
00
00
10
10
01
10
01
10
00
10
10
10
01
00
10
11
01
00
10
00
01
10
10
10
00
10
00
00
11
11
01
00
10
00
00
10
00
10
11
01
10
10
00
10
00
00
10
00
00
00
10
10
10
10
00
00
00
11
11
11
01
10
01
00
10
10
01
00
10
01
00
10
10
01
00
10
10
01
00
01
11
00
10
10
00
11
01
10
11
00
00
00
10
10
00
10
11
00
10
11
11
10
01
00
10
01
10
10
00
10
11
00
00
00
10
10
10
10
00
01
00
01
10
00
10
01
10
10
11
00
11
10
10
10
10
01
11
00
00
10
11
00
01
10
11
10
00
10
00
00
00
11
10
11
00
10
10
01
01
00
00
11
10
00
10
01
10
10
00
00
10
10
00
01
00
11
00
10
00
01
00
10
00
00
00
11
10
00
00
10
00
00
11
11
10
10
00
10
10
10
00
10
11
10
00
10
11
01
11
00
00
11
00
01
01
00
10
00
01
10
00
01
10
00
00
01
10
01
00
11
00
01
10
11
01
11
11
00
00
00
01
10
10
00
01
01
00
00
10
10
10
10
10
10
10
01
00
00
00
00
00
10
10
11
10
00
01
00
11
10
11
00
00
10
00
01
00
00
10
10
10
10
00
11
11
11
00
00
10
00
10
00
00
11
01
01
11
00
01
00
01
00
00
10
00
00
10
11
00
00
10
01
11
10
11
00
10
10
01
10
10
11
00
00
00
10
11
00
01
10
11
11
10
01
01
10
10
01
01
10
10
00
10
01
00
01
11
01
00
10
10
00
10
10
00
10
01
11
00
00
00
10
10
10
00
01
00
00
10
11
10
00
10
11
00
00
10
00
10
10
10
01
10
10
11
00
00
11
10
10
10
00
10
00
01
10
00
10
11
00
00
00
10
00
11
11
01
00
11
01
00
00
10
00
00
10
10
00
00
10
01
10
11
00
10
10
11
10
00
00
10
00
10
10
11
10
01
10
00
01
10
01
10
00
00
10
10
00
10
00
10
10
00
10
00
10
00
01
01
11
00
01
11
11
01
00
11
11
00
01
11
11
01
01
10
11
00
01
00
11
00
00
10
11
00
00
00
10
10
00
00
11
10
00
10
10
00
11
00
00
00
11
00
11
00
00
00
11
10
00
10
10
00
01
00
11
10
00
10
00
10
10
10
10
01
00
10
10
01
00
11
10
01
10
01
11
11
01
01
11
10
01
00
11
11
10
00
00
00
00
01
11
00
00
00
01
11
00
00
10
10
01
00
00
11
00
00
10
10
11
10
10
01
00
00
10
10
00
10
11
00
01
11
00
10
00
00
11
00
01
11
11
01
11
10
00
00
01
10
10
01
01
10
10
10
00
10
11
00
11
10
00
10
10
01
10
11
00
00
10
10
00
00
10
00
11
01
00
10
11
00
10
11
00
00
11
11
00
11
00
10
10
01
01
11
00
11
01
00
00
00
10
10
11
00
00
00
00
00
10
01
10
10
00
00
11
01
00
00
10
00
01
11
01
11
01
10
00
10
01
01
11
11
00
00
00
10
10
10
01
00
01
00
01
01
00
10
10
00
01
10
10
10
10
00
10
00
00
11
00
11
01
01
10
01
00
11
11
01
00
10
11
00
10
10
00
10
11
00
00
01
11
10
01
10
01
10
10
00
00
10
10
11
00
00
10
10
10
00
10
11
11
00
01
11
10
10
00
00
00
00
10
00
00
10
11
01
11
11
10
01
10
00
00
01
11
11
10
01
00
11
00
11
00
10
11
00
00
10
00
01
11
10
01
10
00
00
01
00
10
10
10
10
00
01
10
00
00
01
11
01
00
10
10
10
11
00
01
11
01
00
00
00
11
11
11
01
00
00
00
00
01
01
10
11
10
00
11
11
00
01
11
10
11
00
00
10
00
00
11
00
01
10
10
10
10
00
10
00
00
10
10
10
01
11
10
00
00
10
00
00
10
10
00
10
10
10
01
00
01
00
10
10
11
10
01
00
11
00
01
11
01
01
00
10
10
00
00
00
10
11
00
10
01
10
10
10
11
01
00
10
01
10
10
10
01
00
10
10
00
10
11
11
00
00
10
10
10
00
11
10
01
00
10
01
00
10
10
00
00
00
00
10
00
00
00
10
10
01
00
11
10
00
11
00
11
00
00
10
00
01
00
01
00
10
10
10
11
00
01
10
00
10
10
11
01
11
10
10
00
00
10
00
01
10
11
00
00
01
10
11
00
11
11
10
01
01
10
00
11
10
00
00
00
01
10
10
10
10
10
10
00
00
01
00
01
11
00
01
10
10
01
01
11
10
00
01
00
00
11
01
01
11
10
10
10
00
10
10
01
00
11
01
01
00
11
10
11
00
11
10
00
10
00
01
11
01
00
01
11
10
10
00
01
10
10
01
00
11
11
00
11
00
10
00
00
10
11
00
00
01
00
00
10
01
01
00
01
10
10
10
00
00
00
10
10
00
00
11
11
10
00
10
00
11
10
10
00
10
10
00
10
11
01
11
00
01
10
01
00
10
01
01
11
10
10
11
00
10
10
11
00
00
10
00
10
00
10
00
01
01
00
11
00
00
10
10
00
00
01
10
00
10
10
01
10
00
00
01
10
00
00
00
11
01
11
00
10
00
11
01
00
11
11
10
10
10
01
11
00
00
11
10
01
00
10
00
11
00
11
00
10
11
00
10
00
01
11
10
00
01
00
10
10
10
11
10
10
01
00
00
11
10
11
11
10
10
00
10
10
01
01
11
00
00
10
10
01
10
01
01
10
10
00
11
10
10
00
00
10
11
11
01
00
10
00
00
01
00
01
11
00
00
10
01
00
10
10
00
10
00
00
11
11
00
11
10
10
01
01
00
10
01
01
10
01
10
11
00
00
11
01
00
10
00
01
00
00
00
01
10
00
10
00
01
10
00
10
10
00
10
00
00
10
10
01
10
01
00
00
00
00
10
10
01
01
10
00
01
10
10
10
00
10
10
01
00
10
10
00
00
11
10
10
00
01
00
10
11
01
10
00
00
00
10
11
10
10
00
01
00
01
00
10
00
01
11
10
01
01
10
11
01
00
11
10
01
00
11
11
10
11
00
10
10
10
00
10
00
10
01
01
00
10
10
10
00
01
10
10
01
00
11
10
00
00
00
10
10
01
10
10
10
01
11
10
00
00
10
00
00
10
10
10
10
01
00
00
01
10
10
10
11
00
00
10
00
10
11
00
00
10
10
11
11
00
00
10
00
00
11
10
01
10
10
00
10
00
10
10
00
10
00
00
10
10
10
00
01
10
10
00
10
00
00
10
00
11
00
11
10
00
11
10
11
00
00
01
00
11
00
00
10
00
00
00
11
10
01
01
10
01
01
00
00
00
11
10
00
00
00
00
11
01
01
01
01
10
11
10
00
11
11
00
11
11
00
11
00
10
11
00
00
10
10
00
11
11
00
01
01
00
00
10
11
11
00
00
00
01
00
10
01
11
10
10
00
10
11
11
01
00
11
10
00
10
10
11
10
01
01
10
11
01
00
10
10
01
10
10
00
00
01
00
00
10
00
10
10
00
01
10
10
10
00
10
10
10
11
10
10
01
10
00
01
00
11
10
00
11
11
01
10
10
11
11
00
00
11
10
11
11
00
10
00
01
01
01
00
10
11
00
10
10
11
00
11
00
00
11
10
10
10
11
00
01
00
01
00
10
10
00
11
11
00
00
10
11
10
10
00
00
10
11
00
01
01
10
10
10
10
01
00
10
10
00
01
10
10
10
00
01
00
01
11
10
00
10
00
00
01
10
01
00
11
01
01
10
10
10
00
00
10
10
01
01
01
00
10
00
00
11
10
01
10
11
00
01
10
00
00
11
10
00
10
10
10
01
01
01
00
00
10
10
00
11
00
00
10
00
00
01
10
11
10
10
00
10
10
10
00
00
01
10
00
00
10
10
10
00
11
00
11
00
10
11
10
10
00
01
00
00
10
00
00
10
10
11
00
00
10
00
10
11
10
10
10
11
00
00
00
11
00
00
01
01
00
01
01
10
10
00
10
10
10
01
01
00
10
00
11
00
10
01
00
01
00
00
01
11
10
01
01
10
11
10
10
01
11
10
10
00
10
01
11
00
00
01
11
00
10
10
00
11
10
00
01
10
11
00
00
10
11
11
00
00
10
11
01
11
00
01
00
10
00
10
10
10
01
00
01
10
00
10
10
11
10
00
00
01
00
11
01
11
00
01
10
10
10
00
00
10
00
01
10
10
01
00
10
10
11
01
01
01
10
10
01
11
10
00
00
11
10
00
10
01
00
10
00
00
00
00
10
00
00
10
10
01
10
10
00
00
11
01
11
10
10
01
00
10
10
10
01
01
01
10
10
00
00
00
10
10
01
00
00
10
11
10
11
00
01
00
10
00
10
00
11
10
01
01
00
10
00
01
00
00
10
11
01
10
10
00
00
11
00
10
01
01
10
11
00
10
10
11
00
01
10
10
00
10
11
11
00
00
10
00
10
01
10
01
00
00
00
11
10
11
10
01
01
11
00
11
00
00
00
10
10
00
00
10
00
10
11
11
01
01
01
00
10
00
00
10
11
00
10
00
01
00
11
00
10
00
10
10
11
01
00
11
00
11
10
00
10
00
11
10
11
00
10
10
00
00
01
00
00
10
01
01
00
01
11
00
00
10
00
10
10
10
10
11
10
10
10
00
01
10
10
10
10
00
10
01
01
00
00
10
01
00
10
11
11
01
00
10
00
01
00
01
10
10
10
10
11
10
00
10
00
00
11
00
01
00
00
10
10
10
10
10
00
01
10
00
10
10
10
11
10
10
00
00
10
10
10
00
10
11
00
10
10
00
11
00
10
00
10
00
00
00
11
00
01
11
10
00
01
10
10
01
00
00
10
10
11
00
01
00
00
10
10
10
10
10
11
11
00
01
01
00
00
10
00
00
11
11
00
00
10
00
00
00
00
00
11
00
01
10
11
00
00
00
01
10
10
10
00
01
10
11
10
11
00
11
00
01
01
10
10
00
00
10
10
11
10
01
11
00
10
00
01
00
10
00
00
10
11
01
10
01
00
00
10
00
10
10
10
01
10
10
10
00
10
11
10
01
00
10
00
10
01
00
00
10
10
10
10
00
01
10
00
00
11
00
10
00
11
00
00
00
01
01
10
01
00
00
10
00
10
00
01
11
10
00
10
10
00
10
11
01
10
01
10
11
01
00
11
00
11
10
00
01
11
10
00
10
11
10
01
01
10
00
10
00
00
00
11
00
11
00
00
10
00
01
10
00
10
00
00
11
10
10
01
00
00
00
11
10
11
10
01
00
01
00
10
10
11
00
01
10
00
00
00
10
11
00
00
01
10
01
11
00
10
00
01
10
11
10
00
00
00
00
10
10
00
00
00
00
00
01
00
10
10
00
00
10
10
01
10
00
11
11
00
00
00
10
11
10
00
01
00
11
10
01
00
01
00
10
10
01
00
11
01
01
10
10
11
01
00
10
10
00
10
00
01
01
11
11
10
11
10
00
00
00
10
00
11
10
10
10
11
10
00
10
00
01
10
00
01
10
11
10
10
10
10
01
00
10
10
10
00
10
10
10
00
00
00
11
10
01
10
00
11
10
10
11
10
00
00
00
00
11
00
01
11
10
10
11
01
01
00
00
10
11
00
10
10
10
00
10
01
01
10
11
00
00
00
10
10
00
00
10
11
11
00
10
01
00
11
01
00
11
11
10
00
00
10
00
00
10
11
10
00
00
01
00
01
01
10
00
00
10
11
00
01
00
00
10
01
00
11
11
10
11
11
10
00
10
01
10
10
00
00
10
10
10
10
10
10
00
01
00
00
10
11
10
10
10
00
10
00
01
01
01
00
10
00
10
10
10
10
00
00
11
10
11
00
00
01
01
00
10
10
11
11
01
01
11
00
11
00
11
00
01
10
10
11
00
00
10
01
00
10
10
01
10
10
01
01
00
01
10
10
10
10
00
00
01
10
10
00
01
00
01
01
10
10
00
00
01
01
10
11
10
00
00
00
11
11
00
01
10
00
01
00
10
11
00
00
10
10
00
00
10
11
11
00
00
00
00
01
10
11
00
01
10
00
10
00
00
00
10
10
00
01
10
00
10
00
10
11
10
01
01
00
10
11
00
11
11
00
10
10
10
00
00
10
11
00
00
01
00
10
11
10
01
10
01
00
11
01
00
01
11
10
01
10
11
10
11
10
00
10
10
01
00
10
10
00
01
10
01
01
00
10
00
10
01
01
11
01
01
00
10
11
00
00
10
00
10
10
00
01
00
10
01
00
10
00
10
10
10
10
10
01
11
00
00
10
11
10
00
10
00
00
00
10
10
11
00
11
10
11
00
00
10
00
00
10
00
00
10
11
10
00
00
11
00
00
10
10
11
11
00
00
11
01
10
11
01
11
11
10
11
00
01
11
10
00
10
01
01
00
01
00
10
00
01
00
01
10
10
10
00
01
11
00
11
00
11
00
10
00
00
10
10
10
00
00
10
11
00
00
10
10
11
10
00
10
00
01
00
10
10
01
00
11
01
01
00
11
00
11
01
01
00
10
11
11
00
00
01
00
00
11
11
00
00
11
00
10
10
01
11
00
01
10
10
11
00
10
00
10
10
00
10
00
00
10
10
00
00
10
10
10
11
10
10
00
10
00
11
00
00
10
00
10
10
00
10
10
10
00
01
11
11
11
11
10
00
01
00
10
10
01
10
11
10
01
00
10
00
10
10
10
01
00
10
01
10
00
00
01
11
10
11
10
11
11
00
00
00
11
00
00
11
11
10
11
10
00
00
10
10
10
00
00
10
00
00
11
01
10
01
10
10
00
01
10
11
01
00
01
10
10
10
10
00
01
10
10
00
10
01
01
10
00
10
10
10
10
00
00
11
10
11
01
10
10
01
10
10
01
00
00
10
00
10
11
00
00
10
00
00
01
01
11
00
01
10
00
10
00
11
11
10
10
00
00
01
10
11
01
00
00
00
00
00
11
10
00
10
10
11
00
00
10
00
01
10
11
01
10
10
01
01
11
10
00
11
10
10
00
11
00
00
00
00
11
00
01
00
10
00
11
10
01
01
10
10
10
00
10
00
00
10
11
00
00
10
01
10
10
01
11
01
10
00
10
01
00
10
01
01
00
10
01
00
01
10
10
10
00
10
10
00
01
00
10
00
01
00
10
00
01
01
10
11
01
10
00
00
10
10
11
00
00
10
00
11
01
01
11
01
10
11
01
00
10
01
01
10
10
10
10
00
01
00
01
10
00
00
11
00
00
11
11
00
00
10
00
00
00
00
11
11
10
00
10
11
10
10
00
10
10
00
00
11
00
10
00
00
10
00
10
10
00
10
00
01
01
00
10
00
10
11
10
00
10
10
00
00
11
00
00
01
10
10
10
00
10
10
00
00
00
10
10
10
11
10
10
11
01
00
01
10
11
10
01
11
10
10
01
11
11
00
01
00
11
11
11
11
00
01
10
10
00
10
11
01
01
00
11
00
01
00
11
10
11
01
00
10
11
10
10
00
01
10
00
10
11
00
00
00
10
10
01
00
10
01
10
01
01
01
00
11
10
10
00
01
00
10
11
00
10
01
10
00
10
00
10
10
00
10
01
00
10
01
11
11
11
10
11
11
10
01
00
10
10
10
00
00
00
01
00
11
10
01
01
10
00
00
10
10
11
00
10
10
00
10
10
11
00
11
11
11
00
00
00
10
01
00
10
10
00
00
01
01
00
00
10
10
10
11
01
10
01
00
11
00
11
00
00
11
10
00
00
00
10
00
01
00
10
11
10
01
11
00
01
10
01
01
10
10
11
00
00
10
10
10
00
11
10
01
00
10
00
11
11
11
11
00
00
11
10
11
00
00
10
00
10
00
00
11
10
00
10
10
10
00
00
00
10
00
01
00
01
00
00
10
00
01
10
10
01
10
10
10
00
00
10
10
11
10
00
10
10
00
01
10
11
00
10
00
01
00
11
10
00
01
11
00
00
01
10
10
01
00
01
00
10
00
01
00
10
10
01
10
11
01
00
00
10
00
10
11
00
11
11
10
10
10
01
11
00
00
00
00
11
01
01
10
00
00
10
10
00
10
10
00
01
10
01
00
10
01
00
00
01
10
00
01
10
11
00
00
10
00
00
01
10
10
11
10
11
11
01
00
10
10
00
11
11
10
00
01
10
01
11
01
10
10
00
11
00
00
10
00
01
11
10
11
10
01
10
00
01
11
00
01
10
10
10
00
11
00
01
11
00
00
11
10
00
00
10
00
01
10
01
11
10
00
10
00
00
01
11
11
01
11
00
00
11
10
11
00
11
10
00
00
01
10
11
10
00
10
10
10
00
10
00
00
10
00
00
11
00
10
00
00
00
00
10
10
00
10
10
00
10
01
11
00
10
00
01
00
10
10
00
01
00
10
00
11
10
00
00
01
00
11
00
11
11
10
10
11
00
10
10
00
00
00
00
11
00
01
10
10
00
00
01
01
01
10
10
10
10
10
01
01
10
10
00
10
00
10
10
00
00
10
10
01
01
00
11
00
01
11
10
00
00
00
11
11
10
01
00
00
00
00
00
11
10
00
10
10
10
11
10
01
00
11
00
00
11
01
01
11
10
01
11
11
11
00
10
10
10
00
01
11
10
01
10
11
10
10
00
00
11
11
10
01
11
10
00
11
01
00
10
10
10
00
10
01
00
10
10
10
11
10
10
00
11
10
01
10
00
11
10
00
10
10
00
11
10
01
10
10
10
00
00
10
10
00
00
01
00
10
00
10
01
00
11
11
00
10
11
01
00
10
11
11
01
00
01
00
00
11
10
00
01
00
01
01
11
11
00
01
00
00
11
00
00
00
00
10
11
10
10
10
10
10
01
10
00
00
10
10
00
01
10
11
00
10
00
00
10
10
11
01
00
10
10
10
00
00
10
00
00
10
00
11
10
10
01
11
01
00
00
01
11
00
10
11
00
00
11
00
01
01
01
10
11
10
00
00
01
00
10
10
01
01
10
00
10
00
01
01
00
10
10
10
00
01
11
10
00
11
01
00
00
00
00
00
00
11
10
10
00
01
01
00
11
11
00
01
00
00
10
00
01
10
00
00
10
01
01
01
01
00
11
10
00
00
00
10
11
00
01
00
10
00
11
11
00
01
11
11
10
01
00
00
10
10
00
10
11
01
01
01
10
01
10
01
01
10
10
11
01
00
01
11
01
00
10
00
10
11
00
00
00
00
11
00
10
10
11
10
10
10
00
00
10
10
10
01
11
10
11
11
10
10
00
00
10
10
00
00
11
11
10
01
00
10
10
00
10
10
10
01
00
11
00
10
00
00
00
11
11
00
10
01
00
00
00
11
00
00
00
00
11
11
10
01
00
00
10
01
01
01
00
00
11
10
00
10
10
00
00
00
10
00
00
00
10
00
10
11
10
10
01
10
00
11
10
00
01
11
00
00
11
10
11
00
11
00
01
10
10
10
00
00
10
10
00
01
11
00
11
10
00
10
11
10
01
10
00
00
11
00
01
01
10
01
00
00
01
10
10
00
10
10
10
01
01
10
11
00
10
00
00
01
00
00
11
00
10
00
11
01
00
10
10
10
00
11
00
01
10
11
00
10
11
10
01
01
10
01
00
11
00
11
10
00
10
10
11
01
01
00
10
00
10
01
11
01
11
11
10
00
00
11
11
00
00
11
10
00
00
01
00
01
11
11
10
00
00
10
11
00
10
10
00
11
00
00
10
01
00
00
00
10
10
10
01
10
11
00
10
10
01
10
01
10
11
00
00
00
00
10
10
01
00
10
01
10
00
01
11
10
00
00
00
10
01
01
11
00
00
11
00
10
10
00
00
11
11
10
00
00
10
10
11
10
00
00
11
00
00
10
11
11
10
10
01
00
00
11
00
00
00
10
10
01
01
00
00
10
10
10
10
01
10
10
00
11
10
00
00
10
00
00
10
00
10
11
00
01
10
00
10
01
00
00
00
10
00
00
10
01
00
00
00
11
01
11
10
01
10
10
10
00
10
10
01
01
01
10
00
00
10
01
00
00
10
10
00
10
10
00
11
10
10
10
10
00
11
00
01
11
00
10
00
00
10
00
00
11
00
00
00
10
00
00
00
11
10
10
00
00
11
00
00
11
00
00
11
10
11
10
01
11
00
00
01
00
10
00
10
00
10
11
00
10
00
11
00
10
01
01
00
11
11
10
10
10
00
01
00
10
10
10
11
00
00
01
10
10
01
11
00
11
11
11
01
10
11
00
00
00
01
10
10
00
00
11
11
10
11
10
00
01
00
10
10
01
01
10
01
00
00
10
10
10
10
11
01
11
01
10
00
10
10
10
10
01
01
10
01
10
10
10
11
10
10
10
00
10
10
10
10
10
10
00
00
00
10
00
00
10
10
00
00
11
00
10
11
00
10
00
11
00
10
01
00
11
11
00
10
10
01
10
00
10
01
01
10
00
11
10
11
11
10
01
11
10
01
10
10
10
10
10
00
10
11
00
00
00
01
10
01
01
01
00
11
00
01
11
10
10
00
01
10
00
10
10
10
11
00
10
00
00
10
10
10
01
11
00
10
11
10
00
01
10
10
01
10
10
11
10
10
01
00
01
10
10
01
10
10
10
11
01
11
00
11
00
11
10
00
10
00
00
10
00
00
00
10
00
10
11
00
00
11
10
00
01
01
10
01
01
00
10
10
10
10
00
00
10
10
00
01
11
00
00
01
01
10
10
01
01
00
10
10
10
10
00
00
00
00
10
10
11
00
10
10
01
10
01
10
01
11
01
00
00
10
11
11
00
00
10
00
10
10
00
10
00
11
10
10
11
10
11
10
00
11
00
01
01
10
11
10
00
11
01
00
10
10
01
00
10
11
01
10
10
00
00
10
00
10
10
10
11
11
10
10
10
01
00
00
11
00
00
00
11
10
01
00
00
00
11
10
11
00
01
01
11
11
10
11
00
11
01
00
10
10
11
00
10
10
00
10
00
01
00
11
10
10
11
01
01
11
10
01
00
10
11
01
00
10
11
01
11
10
00
10
10
10
01
10
11
01
00
00
10
11
00
11
11
00
10
00
01
00
10
11
00
10
11
10
11
10
00
01
00
10
00
10
10
01
00
11
10
00
11
00
11
11
00
00
11
01
00
00
10
10
01
00
00
00
10
10
00
11
00
01
10
00
00
01
10
11
00
01
00
01
10
10
10
01
00
11
10
00
01
10
01
10
00
11
00
10
10
01
00
11
00
00
01
11
10
01
10
10
10
00
10
11
00
10
11
00
00
00
00
00
00
00
01
10
11
11
10
00
01
00
10
10
01
01
00
11
11
10
11
00
00
10
10
00
00
10
00
10
11
01
10
00
10
10
10
10
01
00
01
01
10
01
00
01
01
00
00
11
10
10
11
11
00
00
01
00
00
01
10
10
10
00
01
00
00
10
10
00
00
10
00
10
10
10
10
00
00
11
11
00
10
01
00
11
01
01
11
11
00
11
10
01
00
10
11
01
11
10
11
00
01
10
00
00
10
10
01
01
11
01
00
10
10
10
10
01
01
10
01
00
01
01
00
10
00
00
11
10
11
11
00
00
10
11
10
00
01
01
00
00
00
11
10
00
11
10
11
10
11
01
10
10
00
10
00
11
00
10
10
01
00
10
10
00
10
00
00
10
01
11
10
11
00
11
11
11
10
00
00
00
00
00
00
10
00
10
10
11
01
11
01
00
11
10
10
00
10
01
10
10
00
00
00
10
10
00
10
10
00
11
00
00
11
10
00
11
11
01
00
10
11
01
00
11
11
01
01
01
01
10
10
00
00
10
11
00
11
10
10
00
11
11
00
10
00
00
00
01
10
10
01
00
01
00
11
10
11
00
00
11
00
10
11
10
00
00
11
10
10
10
01
10
00
10
10
10
01
00
10
10
00
00
10
01
00
01
10
11
00
11
00
10
01
00
00
00
00
10
10
00
10
11
00
10
01
11
10
11
00
01
10
10
00
00
00
10
10
01
11
01
00
01
00
01
00
00
00
10
10
10
01
00
11
10
11
11
00
10
10
11
00
10
01
10
10
11
01
10
00
01
10
00
11
00
11
00
01
00
10
10
00
01
10
00
01
00
10
00
11
10
01
11
01
00
00
01
10
01
00
10
10
10
00
11
00
00
10
01
11
10
10
01
00
01
10
01
00
10
10
10
10
00
11
00
00
00
10
10
10
10
00
01
10
10
00
10
10
10
11
00
00
10
00
10
00
10
00
01
11
10
11
11
10
00
10
10
00
00
10
01
10
11
11
00
11
10
11
00
10
11
00
01
10
11
01
10
01
00
10
00
00
11
10
00
00
01
10
10
10
00
00
00
11
10
10
00
10
00
00
10
10
01
10
11
10
11
00
00
01
11
00
01
11
01
00
10
00
10
00
01
11
10
11
10
11
00
00
00
10
10
00
00
10
10
00
10
01
00
10
00
10
11
11
00
00
00
10
00
11
01
10
10
01
01
00
11
00
10
10
00
01
11
00
00
10
11
00
00
10
11
00
01
10
01
01
10
11
00
11
01
00
00
10
01
00
10
11
11
00
00
00
10
00
00
11
01
00
00
10
11
01
01
11
10
00
10
00
00
10
10
01
00
11
01
00
10
10
00
10
00
01
00
00
00
10
00
01
01
10
10
00
10
11
11
00
00
11
10
10
11
10
11
10
01
00
00
01
00
10
10
00
11
10
00
00
00
10
11
10
01
10
00
00
10
10
00
00
01
10
00
10
10
00
10
10
10
01
10
01
01
10
11
00
00
11
10
00
10
01
00
10
01
11
00
11
10
01
00
11
11
01
00
10
11
00
01
10
00
01
10
01
10
11
00
01
10
10
11
01
11
00
00
10
10
10
00
01
11
11
00
11
10
10
11
10
01
00
01
11
11
00
00
00
10
00
00
10
10
00
01
00
00
00
10
01
00
10
11
00
01
00
00
10
00
00
11
01
01
00
11
11
01
10
10
00
00
01
01
01
11
11
01
00
11
11
11
00
01
00
01
11
11
10
00
01
10
00
00
10
10
01
00
11
10
00
00
01
00
11
10
01
10
00
00
11
10
00
01
01
10
11
00
00
00
10
11
11
11
01
00
11
00
01
01
00
10
10
01
00
10
10
00
00
01
01
10
10
10
00
00
01
00
01
00
10
10
01
11
01
10
10
01
10
10
00
10
11
10
01
01
10
00
10
00
10
00
01
11
11
10
00
10
10
00
00
10
00
10
00
10
10
00
11
10
00
00
10
10
10
01
00
01
00
01
00
10
11
01
00
10
00
11
01
00
00
01
10
10
01
10
11
00
10
10
11
01
01
10
10
00
10
00
00
11
11
00
00
00
00
10
10
10
10
00
01
01
10
11
01
01
10
01
00
10
10
00
10
10
01
01
10
10
10
10
11
01
10
00
00
00
10
11
10
00
00
01
11
01
00
11
01
10
00
00
10
01
10
10
00
10
00
01
00
00
00
10
11
10
01
10
10
11
00
11
11
01
00
11
00
11
10
01
10
10
01
00
00
11
10
00
11
10
00
10
11
00
11
10
11
10
00
10
11
10
10
00
00
00
10
00
01
00
10
00
00
00
11
10
11
10
11
11
10
11
00
00
10
10
00
11
10
00
00
11
11
00
10
01
00
10
10
00
00
11
10
10
10
10
00
00
00
11
10
11
00
00
00
10
00
00
00
10
00
10
01
10
00
00
10
01
00
10
00
00
10
01
10
11
00
01
00
10
00
10
11
10
10
01
00
11
11
10
11
01
11
00
01
11
00
01
00
11
00
10
11
00
01
10
00
01
00
00
10
00
01
00
10
10
10
00
10
10
00
00
01
01
11
11
10
11
01
11
11
10
01
01
01
11
10
00
00
00
10
10
00
00
10
00
01
10
11
01
10
00
01
00
00
10
01
10
00
00
10
00
10
10
01
00
11
10
10
10
01
11
01
00
01
01
10
11
00
00
10
11
00
00
10
10
01
10
00
10
00
10
10
00
01
11
00
01
10
01
00
01
10
00
00
11
01
01
10
10
01
10
00
10
10
11
10
00
01
01
11
00
10
10
01
10
10
01
01
01
00
00
10
11
00
01
01
11
01
10
00
01
11
10
11
01
00
11
10
10
11
01
01
10
00
00
00
10
10
11
10
01
01
00
01
00
11
10
00
00
10
11
00
11
10
01
10
10
01
10
10
00
00
00
00
00
10
10
00
01
10
00
11
00
10
01
11
10
10
01
00
00
10
10
10
00
00
00
11
00
01
10
01
00
10
10
00
00
10
10
00
00
00
10
00
11
00
00
10
11
01
01
00
10
00
10
01
00
00
10
11
00
11
00
10
10
01
10
00
00
11
01
11
11
01
00
11
11
11
11
10
00
00
10
00
11
10
01
00
10
10
10
01
00
00
10
00
10
10
10
00
10
11
10
10
00
00
11
00
10
00
11
11
11
00
00
00
10
00
01
11
10
01
10
01
01
00
00
10
11
00
00
11
00
01
10
00
00
10
11
00
10
11
11
00
00
01
10
10
00
01
00
00
00
10
00
10
01
11
10
11
10
10
10
00
00
01
10
10
00
10
10
01
10
10
10
00
10
10
11
10
11
00
00
10
10
01
00
00
00
10
10
10
01
01
01
10
11
00
10
01
10
10
00
01
10
11
10
00
01
00
11
10
00
01
00
10
10
00
00
10
10
00
00
10
10
10
10
01
00
10
10
00
11
10
00
10
10
01
01
10
00
10
10
11
11
01
00
00
11
00
11
01
10
01
00
10
11
00
00
11
10
01
01
01
01
10
01
00
10
10
00
00
10
10
10
01
10
10
00
11
11
10
01
00
10
00
01
10
10
01
00
10
10
11
00
11
10
11
10
00
11
10
10
00
10
01
10
10
00
10
10
11
10
00
00
01
01
10
10
00
00
11
10
00
00
00
11
10
00
10
10
10
00
11
11
00
01
10
01
10
00
01
01
10
11
01
00
00
00
00
00
10
10
11
00
10
10
10
01
01
00
11
10
00
01
10
10
00
10
10
10
10
00
00
10
11
01
10
11
01
10
11
01
00
10
00
00
00
00
10
11
01
00
10
00
10
01
10
10
10
11
11
10
01
00
11
00
01
11
11
10
00
10
00
00
01
10
11
10
01
10
00
10
11
10
00
10
11
00
00
11
00
00
11
10
11
10
10
00
11
00
01
11
10
01
11
11
00
00
00
10
11
00
11
00
10
11
10
10
00
10
10
10
00
10
00
00
01
10
01
11
00
01
10
10
10
10
11
00
01
00
00
00
00
10
01
00
10
10
00
01
00
00
10
00
01
01
11
11
01
00
10
10
10
10
00
10
11
11
11
00
00
11
10
11
00
00
01
10
10
10
11
00
11
11
11
01
00
00
10
11
00
10
10
00
11
11
01
00
00
00
01
10
00
10
10
00
00
01
10
00
00
10
11
01
01
01
00
01
11
01
10
10
10
00
00
00
10
10
10
10
00
10
00
11
01
00
11
00
00
10
10
00
01
10
11
11
00
00
10
11
00
11
10
00
00
00
01
00
00
11
10
00
01
00
10
00
11
11
00
11
00
00
11
00
11
10
11
11
10
00
10
10
00
01
00
00
10
10
00
10
00
01
11
10
11
10
01
00
10
00
01
00
10
10
00
10
10
00
11
00
00
00
10
11
10
00
11
00
00
10
00
00
10
00
01
01
10
10
10
01
00
00
11
11
10
01
11
01
01
10
01
01
11
10
01
01
10
01
00
01
10
10
11
11
11
00
11
10
10
00
00
01
00
10
11
11
01
00
11
10
11
10
10
10
10
11
00
10
00
01
11
00
00
10
00
11
00
10
00
01
01
01
10
10
00
00
10
01
10
10
10
00
00
01
00
10
10
00
11
10
00
10
10
10
10
00
00
00
01
10
00
01
10
11
01
00
10
11
00
11
01
00
00
10
10
10
10
00
01
01
10
00
01
00
10
10
10
00
01
00
01
00
10
00
00
01
11
00
11
10
01
10
00
01
00
11
11
11
00
00
01
00
10
11
00
11
10
00
10
01
10
10
01
01
10
10
10
00
10
11
00
10
00
00
10
01
11
10
11
01
00
00
00
10
10
11
01
11
10
00
10
00
01
11
00
10
10
00
10
00
00
10
11
00
00
11
00
11
00
11
00
01
00
00
11
11
00
00
00
10
00
01
00
11
00
11
00
00
11
10
10
01
10
01
00
10
00
10
01
10
10
00
01
00
11
00
01
10
10
10
00
10
10
01
01
11
11
00
00
10
01
01
10
01
01
10
00
00
10
10
01
00
10
11
00
11
11
11
00
01
01
11
01
00
01
10
00
00
10
10
01
00
10
00
10
01
11
00
00
11
10
00
01
00
10
10
00
00
10
10
00
10
00
10
00
11
10
00
10
01
01
11
10
00
10
10
10
00
00
10
01
10
10
00
01
00
00
00
10
10
11
01
11
10
01
10
00
00
11
11
10
01
00
00
11
11
00
01
00
11
00
10
10
10
00
00
11
10
00
00
10
10
10
11
01
11
10
11
00
01
11
00
11
10
00
01
10
10
01
00
00
00
01
10
11
00
11
10
00
00
01
00
00
10
10
00
10
10
00
11
01
00
11
00
01
00
11
10
00
01
10
10
10
00
01
10
10
01
10
10
00
10
01
10
00
00
11
00
11
00
00
10
00
01
10
00
00
00
00
01
00
11
11
10
11
10
00
10
00
01
10
10
00
00
10
10
11
10
00
00
10
11
00
10
01
10
11
00
01
11
00
10
10
00
10
11
11
00
00
10
01
00
10
00
00
11
10
01
00
00
10
01
10
11
10
01
01
01
10
00
01
10
10
00
10
10
01
01
10
00
00
10
01
10
10
10
10
00
00
00
00
00
11
01
10
00
11
10
00
10
10
00
01
10
10
10
10
00
11
01
00
00
10
00
10
11
00
10
00
00
00
11
11
01
01
10
10
00
00
00
10
10
00
00
00
00
10
01
10
10
00
11
10
00
10
00
00
00
00
01
10
01
11
01
10
00
01
10
01
01
11
11
01
01
10
11
01
01
10
01
00
00
01
10
10
01
00
11
11
01
00
11
10
10
10
00
00
11
00
11
00
01
10
10
10
10
11
10
01
10
01
01
11
00
10
11
00
00
10
00
00
00
00
00
10
10
01
10
10
10
10
00
10
11
11
00
01
00
11
10
11
10
00
11
10
00
10
10
00
10
11
01
00
10
10
11
11
11
00
00
10
10
00
00
00
10
00
01
00
00
00
11
10
10
00
01
11
11
00
00
01
00
10
10
00
00
00
10
11
00
01
00
11
00
01
01
00
00
10
10
11
00
10
11
10
00
00
10
10
00
00
10
10
01
00
00
01
00
10
00
01
10
11
00
00
00
01
11
11
00
00
10
10
00
00
00
00
11
11
01
00
11
10
10
11
10
00
10
10
11
10
00
10
10
10
10
00
10
01
00
10
00
00
10
01
10
01
00
10
10
10
10
00
10
11
10
00
00
00
00
01
10
10
00
10
11
10
10
01
00
00
10
00
01
10
10
10
11
11
11
00
00
01
10
10
00
00
11
11
10
10
10
10
10
00
01
11
11
10
00
10
10
01
11
00
00
00
10
00
00
11
11
10
01
00
01
00
00
10
00
01
01
01
11
10
01
10
10
01
10
11
01
00
10
01
00
00
11
11
11
00
01
11
10
10
01
00
10
01
01
10
10
00
00
10
10
00
10
00
00
10
01
10
10
01
10
00
00
01
10
10
00
00
10
10
01
10
00
10
00
00
00
10
10
00
01
01
10
00
01
10
10
00
10
11
01
10
11
01
10
01
00
10
00
00
10
01
10
11
01
00
11
01
00
11
00
00
00
00
10
10
01
01
01
11
01
01
00
10
00
01
10
11
00
00
11
00
00
10
10
11
00
01
11
10
00
11
00
00
00
00
10
00
00
10
10
11
00
00
10
10
11
10
10
01
00
10
01
00
00
10
11
11
01
00
11
00
01
00
01
10
10
11
11
00
10
00
00
11
00
00
10
11
00
00
00
10
00
11
10
01
01
10
00
10
10
00
11
10
00
10
00
00
01
01
10
11
10
10
01
00
00
10
10
00
10
00
10
01
01
01
00
10
01
00
10
00
01
11
10
10
00
10
11
10
11
01
00
01
11
01
10
10
00
01
10
01
11
10
11
00
01
10
00
10
00
11
10
01
00
00
10
00
00
00
01
11
11
00
00
00
10
11
11
00
00
11
00
11
10
00
11
01
11
01
10
10
10
00
00
11
11
00
10
10
00
10
00
01
11
01
01
11
00
10
10
01
11
10
01
01
10
00
00
10
10
11
01
00
10
00
01
01
10
10
10
00
10
01
00
01
10
00
00
00
00
10
10
10
00
11
10
10
10
11
10
01
01
01
10
11
11
11
11
10
00
00
10
11
01
10
10
11
10
00
10
10
00
10
01
00
00
00
10
11
11
01
10
01
11
10
10
00
11
00
00
11
00
00
00
01
10
11
00
01
11
11
01
00
00
10
01
10
00
00
11
00
01
11
10
00
11
10
00
00
10
10
00
00
10
10
00
10
10
00
01
01
11
01
10
11
01
00
10
11
00
01
00
10
10
11
10
00
00
11
10
01
01
10
00
11
00
10
00
10
10
01
00
10
11
00
00
10
00
10
10
00
00
10
11
10
00
10
00
10
00
00
11
01
11
00
01
00
00
10
10
00
01
11
11
10
10
01
00
00
00
00
11
00
00
10
10
00
01
00
01
11
10
00
10
10
10
10
01
10
00
00
10
10
01
00
10
01
00
10
11
10
01
10
01
00
10
10
10
10
11
10
00
10
00
10
00
01
10
01
01
01
00
01
10
10
01
01
10
00
00
10
01
10
00
10
10
01
11
00
11
01
00
10
01
00
00
01
10
10
10
00
10
11
00
01
11
10
10
01
10
00
10
10
11
00
00
00
10
11
10
11
00
00
11
11
10
00
10
00
10
00
01
10
00
10
10
10
10
00
01
11
10
10
11
00
10
00
10
01
00
11
11
00
00
11
10
11
00
01
01
00
10
10
00
01
00
11
11
00
01
10
10
10
00
10
10
01
01
00
10
11
00
00
00
11
01
11
01
11
11
10
01
00
00
11
10
00
01
10
10
10
00
01
00
10
10
01
10
10
00
00
11
01
11
11
01
00
10
01
11
01
11
10
00
10
11
10
00
01
10
00
01
01
10
00
00
11
00
10
00
00
10
00
00
00
01
11
00
10
11
01
10
01
00
00
00
00
10
11
11
11
10
10
01
11
00
00
00
10
00
00
00
10
00
00
00
00
00
01
10
01
00
10
00
00
11
11
11
00
11
11
10
00
10
10
00
01
11
10
11
10
00
10
11
11
10
10
00
01
10
11
10
01
01
11
11
01
00
11
10
00
10
10
01
00
10
00
10
00
00
10
10
10
10
10
00
10
10
01
10
10
00
11
00
01
10
00
10
10
11
00
00
10
11
10
00
10
10
00
10
01
11
10
01
00
00
11
10
11
00
00
01
00
00
00
00
10
00
00
10
01
01
01
00
11
11
10
00
10
00
01
11
10
01
01
00
10
01
00
10
10
10
10
01
00
10
10
00
10
00
10
10
11
00
11
10
11
11
10
10
10
00
01
10
11
00
00
10
11
00
01
00
10
10
00
00
10
10
00
10
10
10
11
10
11
00
00
00
10
00
00
00
10
10
01
01
11
11
00
10
11
00
00
01
10
11
10
01
11
00
00
01
00
10
10
00
11
00
11
00
00
11
11
01
10
00
00
00
01
00
01
10
00
10
01
10
11
00
10
01
01
01
00
10
01
00
00
01
11
10
01
10
10
11
00
01
10
10
01
10
00
10
10
00
00
10
10
10
00
01
00
00
11
00
10
01
00
10
10
00
00
10
10
00
10
10
01
01
01
01
00
00
00
00
10
01
10
10
01
10
01
01
11
10
01
00
10
01
10
10
10
00
01
00
00
00
11
10
10
11
11
01
01
01
00
10
00
00
10
10
01
10
10
10
11
01
10
10
00
10
11
10
10
00
00
11
01
10
01
01
10
00
11
00
11
00
00
11
11
11
10
10
00
01
10
11
00
01
00
00
11
10
10
00
00
11
00
00
00
10
10
11
10
10
01
10
00
00
00
11
11
01
10
10
00
00
00
00
10
10
11
00
10
01
11
10
00
00
00
00
11
10
01
11
11
00
00
00
10
00
10
01
01
10
00
00
00
11
10
00
10
00
11
00
11
01
10
00
01
00
01
00
10
10
00
10
00
01
10
10
10
00
00
01
10
10
00
00
11
11
00
00
11
01
11
00
10
10
01
00
10
00
01
11
00
00
01
10
01
10
11
00
00
00
00
11
01
10
10
10
00
01
01
11
00
11
11
00
01
11
01
11
11
00
11
00
10
01
00
10
11
01
10
11
00
11
00
00
10
10
00
00
10
10
10
00
10
10
01
10
10
01
01
10
00
10
10
01
10
00
01
01
01
10
00
10
10
10
10
00
01
10
01
01
00
11
11
11
01
00
10
10
10
10
00
00
00
00
10
01
00
10
00
10
10
11
01
00
10
11
10
11
10
00
00
11
10
10
00
00
00
10
10
10
11
00
11
10
11
10
00
00
01
11
00
10
11
10
00
11
11
10
01
00
00
00
01
11
10
00
00
10
10
00
00
10
10
10
10
10
00
00
11
01
10
01
10
10
01
00
00
10
01
00
10
00
10
00
10
00
01
00
10
00
00
11
10
11
01
01
00
10
11
00
00
01
01
10
10
01
10
00
00
10
11
10
10
00
00
10
11
10
00
00
10
00
11
00
10
00
10
11
00
10
11
01
01
11
00
10
11
11
01
01
10
11
10
00
10
01
00
10
00
10
00
01
11
01
00
01
11
11
11
01
10
10
00
00
10
11
00
00
10
10
00
01
00
11
10
01
10
01
11
10
00
01
11
01
00
11
10
11
00
11
10
10
00
10
00
01
10
10
00
00
10
00
00
00
00
10
01
11
10
11
11
11
00
00
00
10
10
11
01
00
10
10
10
11
01
10
10
10
00
00
00
00
00
01
10
10
00
00
10
10
00
11
10
10
00
00
10
01
11
01
10
11
10
00
00
01
00
10
10
10
11
00
11
01
00
11
10
01
01
11
10
10
10
01
01
01
00
11
01
10
00
10
10
01
00
00
10
00
11
11
11
01
00
11
00
10
01
11
01
00
01
11
10
00
11
11
01
00
00
11
10
10
10
10
00
10
10
01
00
10
00
00
10
10
00
11
00
10
00
10
11
00
10
10
00
10
00
10
11
11
10
00
11
10
11
00
11
11
00
01
11
10
00
11
00
01
10
10
01
11
00
10
00
00
01
00
10
11
01
11
10
10
01
11
11
00
11
10
00
01
00
10
10
10
00
01
10
00
00
00
01
10
10
11
11
11
11
01
01
10
01
11
00
00
11
10
10
00
01
10
00
00
00
10
00
10
00
10
00
01
11
00
11
11
11
10
10
00
11
10
00
00
00
00
10
01
10
10
00
10
11
10
11
10
10
00
11
00
01
10
11
11
01
11
00
00
10
00
00
10
10
01
00
01
10
11
10
00
00
01
00
10
10
00
10
11
01
10
10
11
10
11
10
01
10
10
00
10
00
10
10
10
10
00
10
01
10
01
01
00
00
00
00
00
10
10
11
00
00
10
10
01
01
00
01
00
10
10
00
00
10
10
00
00
10
11
00
00
10
11
00
11
11
01
00
00
10
00
10
01
10
11
10
00
10
00
01
10
10
00
10
10
00
00
00
10
00
01
00
10
10
00
11
00
00
10
11
11
10
00
10
00
10
11
00
01
00
00
10
11
00
10
00
00
00
01
00
11
00
00
10
10
11
10
01
01
00
11
10
10
10
10
01
01
10
10
11
00
00
10
00
01
10
11
10
11
00
00
11
11
10
11
10
00
00
10
11
11
01
01
01
10
00
10
01
10
10
00
00
00
00
10
00
00
10
00
00
10
10
11
00
00
00
10
01
01
00
11
00
00
11
01
10
01
00
11
10
00
00
01
10
10
10
00
11
00
10
10
00
00
10
10
00
11
00
00
00
11
11
10
01
11
01
01
10
10
01
10
10
01
10
11
00
10
00
10
01
00
00
10
10
00
00
11
01
01
00
11
01
10
11
00
10
00
00
10
00
10
10
00
00
10
00
10
01
00
11
10
00
10
01
01
00
00
11
10
11
01
10
00
10
00
01
10
01
00
00
10
01
11
10
00
00
01
10
10
10
00
10
00
10
10
00
00
00
10
01
11
01
01
01
10
11
10
11
11
00
00
10
11
01
01
11
10
00
01
11
11
00
00
10
10
10
00
10
00
10
10
00
00
10
10
00
10
00
00
10
11
10
11
11
00
10
00
00
11
00
00
10
00
10
11
01
10
00
10
01
00
10
11
01
11
10
10
01
00
10
00
00
10
11
11
01
00
00
10
10
01
11
10
01
00
11
00
00
10
10
00
01
00
10
00
01
00
10
10
01
10
10
00
10
11
10
00
00
00
11
00
00
01
11
10
11
11
00
11
10
11
01
01
00
11
10
00
11
00
00
10
10
01
10
11
01
00
11
00
10
00
00
10
00
10
10
00
10
11
11
00
10
00
10
10
10
00
10
10
00
11
10
10
00
01
10
10
10
10
01
00
00
11
10
00
11
10
00
00
00
11
00
01
11
00
10
00
10
10
10
00
00
00
00
10
11
10
10
11
00
00
11
00
01
10
00
00
01
10
10
00
00
11
10
01
01
10
10
00
00
10
10
00
11
11
00
10
00
00
10
11
10
10
10
01
11
00
01
11
10
01
10
10
00
10
11
10
00
00
10
10
00
00
00
01
10
11
10
11
01
11
10
10
00
00
11
10
01
00
11
00
00
10
11
01
00
10
10
00
01
01
11
11
00
00
11
10
00
10
10
01
00
10
00
00
10
10
10
10
00
10
00
01
11
01
11
10
10
10
01
00
11
11
11
11
10
00
00
11
10
00
00
11
00
01
11
10
11
00
11
00
00
10
10
00
10
00
00
01
01
00
10
00
00
11
10
01
11
00
00
00
10
10
11
00
00
11
01
10
10
10
01
00
10
01
00
01
10
10
10
00
01
00
01
11
00
10
11
00
11
10
01
00
00
11
10
00
00
00
11
00
01
10
10
11
10
01
01
11
11
00
00
10
01
00
11
11
00
00
00
00
10
01
00
10
01
01
00
01
11
10
00
01
10
10
01
00
00
10
10
00
01
01
01
11
01
10
00
00
10
00
00
11
11
10
11
01
10
00
01
10
00
10
10
01
00
00
10
10
00
00
10
10
11
00
10
01
00
10
11
00
01
00
11
10
00
00
10
00
11
10
00
01
10
01
10
00
00
10
00
10
11
00
01
11
00
11
00
00
10
00
00
00
11
10
00
11
01
10
00
00
10
10
01
01
01
01
11
10
10
10
10
10
00
00
00
01
01
00
10
00
10
10
00
00
10
10
00
01
00
10
01
00
10
00
10
00
00
11
00
00
10
11
11
10
10
10
00
00
00
01
10
00
01
00
10
10
01
00
10
11
01
00
10
00
00
00
00
10
11
00
01
00
10
11
01
00
00
10
10
10
10
10
00
00
10
11
00
00
10
10
10
11
11
00
10
11
01
01
10
11
01
10
10
00
10
10
00
01
01
10
00
01
10
10
10
10
11
00
01
00
00
00
00
01
00
11
10
01
01
10
11
10
00
01
01
10
11
00
01
00
11
10
11
11
00
10
10
10
00
10
11
10
10
10
10
00
00
00
11
01
10
11
01
01
10
01
00
11
10
00
10
10
10
01
01
11
10
00
10
11
10
00
01
10
11
01
10
00
10
00
10
00
00
10
11
11
01
00
10
10
10
10
11
00
00
10
10
00
10
00
10
00
11
01
01
00
10
11
00
10
11
01
01
11
00
01
11
01
00
00
00
10
00
01
11
10
11
00
10
00
10
10
00
00
10
01
00
00
00
10
00
01
11
10
00
01
10
01
11
11
10
00
01
00
10
11
00
11
10
10
00
01
11
10
00
01
00
11
00
10
00
10
01
01
10
00
11
01
00
00
01
11
00
01
10
00
00
10
10
10
11
01
01
00
00
10
00
10
10
10
01
00
11
01
01
00
10
00
10
10
01
10
10
10
10
00
00
00
10
01
01
10
10
00
10
10
10
00
01
11
10
10
10
10
11
10
10
01
11
00
10
10
01
01
01
11
00
10
10
11
00
01
10
11
01
00
01
00
00
11
10
00
01
01
00
00
00
10
01
00
11
10
11
11
00
00
00
10
11
00
01
10
10
00
10
00
10
00
00
10
10
10
00
11
10
00
11
00
00
10
01
00
00
10
10
10
10
11
10
00
01
00
00
00
01
11
10
00
00
10
00
00
00
11
01
11
00
10
00
00
11
01
11
10
01
00
11
10
00
10
00
01
10
10
01
00
11
00
11
10
10
10
11
10
00
00
01
10
11
00
10
00
01
00
01
00
10
01
00
11
10
01
00
00
00
00
10
11
01
10
00
10
00
10
11
00
11
10
10
10
10
10
00
00
10
10
10
11
01
11
01
11
00
10
00
11
00
00
01
10
10
00
10
01
11
10
01
10
01
00
00
11
00
01
10
10
10
00
01
10
10
10
01
01
00
00
10
00
01
11
00
00
00
00
10
00
00
00
10
00
10
00
00
10
10
10
10
10
00
00
10
00
10
11
10
00
11
10
00
11
01
11
11
10
01
10
10
00
00
10
10
01
00
00
10
01
11
10
00
10
01
10
01
01
10
10
01
00
00
00
10
10
11
01
10
01
01
10
10
00
00
11
00
11
01
10
00
10
11
00
00
11
11
00
01
00
10
00
10
00
00
10
00
00
10
00
11
10
10
10
00
01
00
01
01
10
10
10
00
01
01
10
11
11
00
01
00
00
11
00
01
10
00
00
00
10
10
10
00
10
10
00
11
10
10
11
00
01
00
01
11
10
00
10
00
00
00
10
11
00
01
10
10
11
10
00
01
00
11
10
10
01
10
11
01
00
11
01
10
11
01
01
11
11
10
10
01
10
00
00
11
11
10
11
00
00
11
10
00
01
10
11
11
00
00
10
10
10
11
11
10
01
00
00
10
11
10
11
11
00
00
11
10
00
00
10
10
00
00
00
00
11
01
10
10
10
10
01
11
00
10
11
00
10
00
10
10
10
10
00
00
10
10
00
00
10
11
11
10
10
10
01
01
00
01
10
00
00
10
00
00
10
11
01
10
00
00
10
01
00
11
11
00
11
11
11
10
10
00
11
00
00
00
11
01
11
11
01
01
11
00
10
10
10
10
01
01
00
10
10
01
10
11
00
00
01
10
11
00
10
10
10
10
01
10
11
00
10
10
10
00
01
11
11
10
00
00
00
11
00
01
10
10
01
10
01
11
00
00
01
10
11
00
01
10
10
10
11
10
00
11
01
10
11
10
00
11
10
00
10
00
10
00
11
11
01
10
00
10
00
10
00
00
11
11
11
00
00
11
01
10
10
11
00
10
10
00
00
01
10
11
11
00
10
11
01
10
10
00
11
11
10
11
11
00
10
10
10
10
00
00
00
11
11
11
00
00
01
01
00
11
10
01
10
10
01
00
00
10
10
10
00
00
10
01
01
11
00
00
11
00
10
10
00
00
10
10
00
01
10
01
01
00
11
10
10
10
10
00
11
00
00
10
10
00
10
00
01
10
10
10
10
01
00
10
11
11
00
00
10
11
11
11
01
01
11
01
00
00
10
11
00
10
10
10
00
00
01
11
00
01
00
00
11
01
11
11
01
00
11
10
01
00
10
11
00
00
10
10
11
01
00
11
10
01
10
10
01
00
11
10
11
10
11
00
00
00
01
00
10
01
11
01
11
01
00
10
10
00
00
10
00
10
11
11
10
11
10
00
01
00
10
01
01
10
11
01
11
10
10
00
00
00
10
00
10
11
00
10
00
11
10
11
10
00
00
10
00
10
10
00
01
10
11
10
10
11
10
10
10
00
00
10
10
00
00
11
10
00
10
01
10
00
10
10
00
00
01
11
10
00
11
11
01
10
10
10
10
10
00
11
11
01
00
00
00
00
00
10
10
00
01
10
00
01
00
01
00
10
10
00
00
10
11
00
01
10
00
10
10
11
00
10
10
00
10
10
00
00
01
10
00
11
11
10
00
00
00
00
10
11
11
10
00
00
00
10
10
00
01
00
10
00
10
00
10
01
10
01
11
00
01
01
00
10
11
00
10
11
00
00
10
01
00
01
10
11
01
01
10
10
11
00
01
00
01
10
10
11
01
00
00
11
10
00
00
10
10
10
01
01
00
10
10
00
10
00
00
10
10
01
00
10
10
11
00
00
01
10
10
01
00
01
10
11
10
00
00
10
00
00
10
01
01
10
00
10
10
01
11
00
00
00
10
10
00
10
10
11
11
11
10
00
10
10
00
00
11
11
00
01
01
10
00
00
00
11
10
10
00
00
10
10
01
01
11
01
10
00
00
10
11
00
00
11
10
11
00
00
10
00
00
11
11
01
00
00
11
00
01
11
11
01
10
11
00
01
10
00
00
01
10
10
11
10
00
00
00
10
10
01
10
00
11
10
11
00
11
01
10
10
00
10
10
10
00
01
00
10
11
00
00
11
10
10
00
00
10
00
01
10
10
01
00
11
00
00
10
10
10
00
00
10
11
00
11
00
11
11
00
00
00
11
11
01
00
00
00
00
11
00
10
00
10
00
01
10
00
01
00
11
11
00
11
01
10
10
01
11
10
00
00
10
10
00
11
10
01
10
11
10
00
10
11
10
10
01
01
11
11
11
00
00
10
10
01
00
00
10
00
01
10
11
00
10
00
00
01
00
01
00
00
11
01
10
11
10
00
11
10
00
00
10
10
10
10
00
01
00
11
00
01
10
01
00
00
10
10
00
11
00
00
00
00
10
00
00
10
10
00
10
00
11
11
00
11
10
00
00
00
01
10
01
11
01
10
11
00
11
10
00
00
10
00
10
00
00
10
10
11
01
10
00
01
00
00
10
10
00
10
01
01
01
10
00
11
10
10
00
00
10
10
11
10
01
01
10
00
11
00
01
10
10
00
01
11
00
10
11
00
01
11
10
10
11
01
00
00
00
10
00
10
01
00
11
01
00
01
11
00
01
11
11
00
11
11
01
10
01
00
10
11
10
01
11
10
11
01
01
11
10
00
11
01
10
01
01
10
01
01
10
00
00
11
10
11
10
00
10
10
00
11
00
00
01
10
10
11
10
00
01
01
11
01
10
11
10
00
00
11
10
00
00
10
01
10
00
11
11
10
00
00
01
01
11
00
10
00
11
01
00
10
11
00
11
01
10
00
01
10
10
01
00
10
10
10
10
01
00
10
10
00
11
10
01
00
10
00
01
10
11
00
00
00
01
10
00
11
10
10
00
00
10
00
10
00
00
01
10
11
10
10
00
00
00
00
11
10
00
10
00
10
00
10
10
10
01
00
00
11
10
00
11
00
00
11
10
00
00
10
00
01
01
00
10
11
00
00
11
10
01
01
00
10
01
01
01
00
10
01
11
00
00
10
10
10
00
00
10
10
11
10
11
10
01
01
10
01
00
10
11
00
01
00
00
10
00
00
00
01
10
11
10
00
10
00
01
00
00
10
11
00
01
11
01
10
11
00
11
00
00
00
01
10
00
00
10
01
00
11
01
01
11
01
10
10
10
00
11
10
00
01
11
00
01
10
11
00
01
11
11
01
01
01
00
01
10
11
11
00
01
10
10
00
00
01
01
00
10
10
10
00
01
10
10
00
01
00
11
10
10
00
00
00
00
10
10
10
01
10
10
10
10
10
10
10
11
00
01
00
10
10
00
10
00
10
10
00
11
10
10
11
00
10
10
10
01
10
10
00
11
11
00
00
10
00
01
10
11
00
01
10
10
00
00
10
10
10
01
00
00
10
10
00
00
00
00
00
10
10
10
11
11
11
10
11
10
10
11
01
00
00
00
10
10
10
00
10
10
10
10
00
01
10
01
00
10
00
00
11
01
10
00
01
10
00
00
01
01
00
01
10
00
11
10
01
10
10
01
10
10
10
00
00
10
10
11
00
00
00
11
10
00
00
01
00
00
00
00
00
10
00
10
00
10
11
10
01
10
01
01
00
01
10
10
01
11
01
10
11
01
10
10
01
11
10
11
10
00
10
00
00
11
00
00
10
10
11
11
00
10
01
10
00
10
11
00
10
11
00
00
00
10
01
00
10
11
00
01
10
00
10
11
01
10
00
00
00
00
11
11
00
11
11
11
10
00
00
00
10
11
00
11
10
00
11
00
01
11
10
01
01
00
00
11
01
00
01
11
10
10
00
00
01
01
10
10
00
00
00
00
01
00
01
11
00
10
11
11
00
01
11
10
11
10
00
01
11
10
01
11
00
00
00
10
00
00
11
00
11
11
10
10
01
00
01
00
11
10
11
01
00
01
10
11
00
00
10
10
10
01
10
10
11
10
00
00
11
00
10
10
00
11
10
10
11
00
01
10
10
00
11
10
00
00
10
00
00
11
11
00
01
01
00
10
00
01
00
10
00
00
00
00
10
10
10
01
00
01
10
01
00
10
01
10
10
00
00
11
00
00
00
00
00
10
11
01
10
00
10
00
00
11
00
10
00
00
00
10
11
00
00
10
00
10
00
00
10
10
10
00
10
10
11
11
00
10
00
00
01
00
11
10
00
01
10
10
10
00
01
10
01
00
10
10
00
00
11
10
00
11
10
01
01
10
10
00
10
10
10
01
01
10
00
00
00
01
00
10
10
00
10
01
01
10
01
10
11
10
00
01
01
00
11
01
10
10
01
10
00
00
10
11
10
10
00
00
01
01
00
10
10
00
00
00
01
10
10
11
10
10
01
11
11
00
01
10
10
10
00
00
10
10
10
11
00
00
00
10
11
00
01
11
10
10
11
00
11
11
01
01
11
00
11
00
00
11
10
11
01
00
00
10
10
10
10
00
00
00
11
01
00
00
01
10
10
10
00
00
11
11
10
00
10
11
11
11
00
01
10
11
10
00
01
11
01
00
11
10
00
10
10
00
00
00
10
00
10
00
11
10
10
00
10
10
11
10
01
10
00
01
00
10
10
10
00
01
10
11
01
00
00
00
11
10
11
11
11
10
01
01
00
00
11
10
01
10
11
00
00
00
10
11
00
01
11
00
00
00
10
00
11
10
01
00
10
10
11
11
00
00
10
01
00
01
11
00
00
00
10
10
10
00
00
00
01
00
10
00
10
10
10
00
10
00
11
00
10
11
10
10
01
01
00
00
11
11
00
01
11
10
01
00
00
11
00
01
10
11
10
00
00
00
00
00
01
10
11
01
01
01
01
10
01
01
01
11
11
10
10
10
00
10
00
00
10
11
10
10
00
00
11
01
11
01
00
10
00
10
00
10
11
01
01
00
00
10
00
11
01
10
11
10
11
11
10
00
10
10
01
11
10
10
10
10
00
00
00
01
10
00
11
11
11
01
11
00
11
10
10
00
00
00
00
11
10
10
10
10
00
00
10
10
10
10
10
00
10
01
10
01
10
00
10
11
11
00
00
11
01
00
00
10
10
10
10
00
10
10
10
11
00
00
10
10
00
10
01
00
00
11
01
01
10
00
10
00
00
01
11
11
00
00
00
11
00
10
11
00
01
10
10
00
00
11
10
00
10
00
00
01
00
10
01
11
00
11
01
10
11
00
10
11
00
00
00
11
10
00
11
11
00
11
10
10
10
10
00
01
00
00
11
01
01
11
10
00
00
01
11
10
00
00
10
00
00
11
10
11
01
11
11
00
10
10
00
10
10
00
00
10
11
10
01
10
11
11
01
11
11
11
00
11
00
00
00
10
00
11
00
00
00
01
00
11
01
00
10
00
11
00
10
10
01
00
00
10
10
00
11
01
00
01
00
01
10
10
11
01
00
10
10
00
00
10
00
10
10
01
11
01
10
11
11
10
10
00
00
11
11
01
01
00
01
01
01
00
00
10
10
00
01
00
10
01
00
10
01
10
01
00
11
10
10
10
01
01
00
01
10
00
00
00
01
10
10
01
11
10
00
10
11
10
01
00
00
10
10
11
00
10
10
10
10
01
01
11
10
10
11
01
00
00
00
10
10
01
10
10
00
11
10
00
00
10
01
01
10
00
00
11
11
00
10
11
00
10
11
00
11
10
10
01
01
01
00
11
11
10
10
01
01
10
11
00
10
10
10
00
11
10
01
11
11
01
01
00
01
10
11
00
10
00
10
01
01
11
11
10
10
01
00
10
11
00
00
11
10
01
00
10
11
10
01
11
01
10
10
00
00
00
10
10
00
00
11
01
01
11
10
10
10
00
11
10
01
00
10
00
00
01
10
00
11
00
01
01
00
11
00
11
00
11
10
01
00
00
01
11
10
00
10
10
10
10
00
11
11
01
10
11
11
10
10
01
00
00
01
10
11
01
00
10
00
00
10
00
00
10
10
10
00
10
01
10
01
00
00
11
10
11
10
01
00
11
10
00
00
00
10
10
11
01
01
10
00
01
10
00
11
10
00
10
11
00
00
10
01
00
00
01
11
01
00
00
00
10
10
00
00
11
11
10
11
00
10
01
00
11
10
10
00
00
10
11
10
11
10
10
11
11
10
01
00
10
10
01
00
11
10
01
10
01
11
01
00
10
00
00
00
11
10
00
01
00
11
01
10
11
01
01
11
10
00
00
00
10
00
00
00
11
01
10
10
00
10
00
10
10
11
01
00
00
10
00
11
01
00
00
11
00
10
00
00
11
00
11
10
10
10
00
10
01
00
01
11
00
00
01
01
01
11
00
10
01
10
11
00
01
11
01
00
11
01
00
00
00
10
10
10
01
00
10
11
00
11
10
10
11
10
00
00
00
10
10
00
00
10
00
10
10
00
10
11
10
00
00
00
00
00
00
10
10
11
10
00
01
10
01
10
01
00
00
00
01
00
10
00
00
00
00
10
00
00
00
00
01
10
00
00
01
10
10
10
10
10
11
00
00
01
11
10
10
00
11
00
01
00
00
00
10
10
10
11
11
01
00
10
00
00
01
10
11
00
01
01
00
00
10
01
00
10
10
11
00
10
00
01
00
10
10
11
01
01
00
01
00
00
10
10
11
11
00
00
10
01
10
01
00
10
00
00
00
01
01
11
10
11
10
10
00
01
11
01
00
00
10
10
00
00
00
10
10
00
00
00
10
00
00
11
10
01
10
11
00
10
01
01
01
01
00
00
11
11
10
01
11
11
10
10
00
10
11
00
01
11
10
00
00
01
10
01
00
11
10
00
00
10
10
01
00
10
10
10
00
00
11
10
11
00
00
11
00
10
00
00
10
00
00
10
10
01
00
11
01
10
01
11
00
10
10
00
00
11
10
10
11
00
10
10
11
00
00
10
01
01
00
10
01
11
00
10
10
01
10
11
00
00
00
10
10
01
11
10
11
01
00
10
11
00
00
00
11
10
00
10
10
10
10
00
00
10
11
11
00
01
10
00
00
11
10
01
11
10
10
00
11
10
10
01
00
10
00
10
01
11
01
00
01
00
10
01
01
10
10
00
10
00
00
10
00
10
00
00
11
11
00
00
10
10
11
10
01
10
00
01
00
11
00
10
10
01
11
10
01
11
00
00
00
00
10
10
11
00
01
10
10
00
10
00
00
10
10
00
10
10
10
01
01
00
01
10
01
11
10
10
01
01
01
10
11
11
10
00
10
00
00
11
10
10
00
10
00
10
00
00
00
11
11
11
00
10
10
11
10
11
00
10
10
11
00
11
00
01
00
10
10
01
00
11
01
00
10
01
10
01
10
10
10
00
00
10
00
00
10
01
11
11
11
11
10
11
10
11
11
00
01
11
10
00
10
10
01
00
11
10
10
10
01
01
01
10
11
11
11
01
00
00
10
11
00
11
10
01
10
10
10
10
01
00
00
11
10
00
00
00
10
00
01
10
00
11
10
00
00
10
00
01
11
10
11
11
10
00
11
11
00
00
00
11
00
00
11
00
00
01
11
10
01
01
00
10
01
10
11
10
10
00
00
10
11
10
00
00
10
10
10
01
10
00
00
11
00
01
11
10
10
10
10
10
00
01
01
00
00
01
00
10
01
11
10
00
11
10
10
00
00
00
10
01
10
10
00
01
00
11
10
10
10
01
00
10
11
11
11
00
00
00
10
01
00
11
10
00
10
00
01
10
10
01
10
01
01
00
10
10
00
11
01
00
11
11
00
10
10
10
00
00
00
11
10
10
10
00
00
01
00
11
11
01
11
00
11
00
10
01
10
10
00
00
10
01
01
00
10
10
00
01
11
11
01
10
00
10
10
00
01
11
11
00
01
00
10
00
10
11
00
00
10
01
10
01
11
00
01
10
11
01
01
10
11
00
01
10
11
10
00
00
10
00
00
10
11
10
11
00
10
10
10
00
11
00
00
00
10
10
10
10
00
01
10
00
00
10
01
00
00
00
10
10
10
10
00
00
10
01
00
10
01
10
11
01
11
00
10
10
11
11
01
10
10
00
11
01
00
11
01
00
01
10
00
10
10
00
00
00
10
01
11
00
01
00
00
00
10
10
01
01
10
10
00
11
10
10
11
01
00
10
01
11
10
10
00
00
11
00
01
11
10
10
00
10
00
00
11
10
00
10
10
01
00
00
00
01
10
10
11
11
00
10
01
00
10
01
10
10
00
00
10
00
10
00
00
11
00
10
11
10
00
11
10
00
10
00
11
01
00
10
00
10
11
00
01
00
01
11
00
10
00
10
10
11
00
00
01
10
10
11
10
11
00
01
10
01
00
01
10
11
01
01
00
00
10
10
00
00
11
10
00
10
01
00
10
10
00
00
01
01
10
00
01
00
10
00
01
00
11
10
00
10
00
10
11
11
10
00
00
00
11
10
01
00
11
11
01
01
11
10
00
01
10
01
00
10
01
00
11
10
10
00
01
00
10
10
10
10
00
00
10
11
10
00
00
10
11
10
00
00
11
10
00
10
10
01
10
00
01
01
10
00
11
10
01
00
10
10
01
00
01
00
10
00
00
00
00
00
11
00
00
11
10
11
01
01
00
10
10
10
01
00
00
00
00
10
00
11
10
01
00
00
00
00
10
10
01
00
10
10
00
10
01
11
00
00
10
01
11
00
10
10
00
00
00
11
11
01
01
00
11
00
10
00
11
11
00
11
10
10
10
01
10
00
00
00
00
11
10
01
10
01
11
10
10
00
10
10
00
01
00
01
10
11
10
00
10
10
10
10
11
01
11
00
11
01
00
01
00
10
00
01
10
11
10
00
00
11
11
01
01
10
10
00
10
10
10
00
01
10
01
10
01
00
01
01
11
10
00
01
10
10
01
10
10
00
10
11
10
11
10
10
10
10
10
01
00
10
10
01
00
11
10
00
00
11
00
10
10
00
10
10
11
00
10
10
10
10
11
10
01
00
10
01
00
11
00
10
11
01
10
10
10
00
01
00
10
10
11
01
00
11
01
01
11
10
11
11
11
00
00
10
10
00
01
00
10
11
10
10
11
10
00
00
10
10
10
00
10
10
10
11
00
01
10
11
01
00
01
01
00
10
11
00
10
01
01
10
10
00
00
00
11
10
00
11
10
10
01
10
10
00
10
01
10
00
01
00
10
11
00
01
10
11
00
01
10
00
10
10
10
01
01
01
11
00
00
10
11
10
00
10
10
01
10
01
10
00
10
11
00
11
10
00
00
01
11
00
11
10
10
01
10
10
10
00
01
00
10
10
10
10
10
00
00
11
00
01
10
00
00
01
11
10
10
00
10
11
10
01
00
01
11
01
01
11
00
00
10
11
10
00
00
01
10
10
10
00
00
10
00
00
01
10
00
10
00
01
10
01
11
00
01
01
10
11
00
10
10
10
00
00
10
10
10
10
01
10
10
10
10
10
00
01
10
00
01
10
00
10
00
10
11
00
01
11
00
00
10
01
00
00
11
10
00
00
01
00
10
10
11
10
01
00
10
10
11
10
00
10
00
00
00
00
01
10
10
00
00
01
00
11
10
11
00
01
10
01
10
11
11
10
11
00
10
10
10
00
10
11
00
01
10
00
00
10
10
10
00
00
10
00
10
11
10
00
10
11
10
11
11
01
11
10
00
11
10
00
00
00
10
01
00
10
01
00
01
01
00
01
10
11
01
00
10
10
10
00
11
10
10
01
10
00
00
00
01
10
11
11
00
00
11
00
10
10
01
00
10
10
00
10
10
00
00
11
00
11
11
00
11
01
10
10
00
00
00
10
10
00
11
10
11
01
11
00
10
00
01
00
11
10
10
00
11
01
00
01
10
10
10
10
10
00
11
11
00
01
11
10
10
11
11
00
01
11
00
01
00
10
10
01
01
10
00
00
10
10
00
00
01
11
01
01
11
01
01
10
10
10
00
00
00
11
10
10
10
10
00
01
10
00
01
00
10
00
10
11
00
11
00
10
01
00
10
10
11
01
10
11
00
00
00
10
10
00
10
11
11
00
00
00
01
00
11
11
01
10
10
10
10
00
01
00
10
01
00
01
01
10
00
10
11
10
01
00
10
00
00
00
11
10
01
11
01
11
10
01
00
11
10
10
00
01
10
10
00
01
10
00
01
11
10
00
00
10
00
11
00
00
10
11
10
00
00
00
01
01
10
00
00
10
10
00
01
10
10
00
00
00
11
10
01
10
10
00
10
00
00
00
11
11
11
01
00
00
10
10
10
11
00
00
11
10
01
01
01
10
00
11
00
10
11
00
10
10
11
00
10
00
00
11
00
00
00
11
11
10
10
00
00
00
10
00
10
01
00
00
01
11
00
11
01
01
10
00
11
11
00
11
00
10
00
00
10
00
10
10
10
11
00
10
01
11
00
10
10
10
00
10
10
00
01
11
10
11
11
11
00
00
11
10
01
00
00
10
11
00
00
00
10
00
01
01
11
00
01
00
00
10
00
11
00
00
10
11
11
00
00
00
00
11
10
10
10
01
00
10
00
11
00
00
01
00
00
00
00
10
10
10
11
00
00
10
00
10
10
01
10
00
00
00
00
01
11
10
00
00
10
00
00
01
00
10
10
00
11
10
01
00
00
11
00
10
10
01
00
00
11
11
01
00
01
00
10
01
10
10
00
01
10
11
10
00
10
00
00
10
00
00
10
00
00
00
00
01
10
00
11
00
10
00
00
10
10
01
00
10
11
00
10
11
01
00
00
01
11
00
10
10
01
00
11
10
01
11
11
11
10
10
01
01
10
00
00
10
10
11
11
00
11
10
10
10
00
01
10
10
00
01
11
10
01
01
00
10
11
10
01
00
11
00
10
10
10
01
00
01
10
10
01
00
00
00
00
10
00
10
10
01
00
00
00
01
10
00
10
10
11
10
10
00
01
10
10
01
01
00
00
00
11
00
11
00
11
10
11
01
11
01
01
00
10
01
01
11
01
11
10
01
11
11
10
01
00
10
01
01
00
11
00
11
00
11
01
01
11
01
00
10
00
00
01
10
01
01
11
11
01
01
11
00
00
10
11
10
01
00
11
11
01
11
10
10
01
01
11
01
00
11
11
00
00
10
10
00
11
11
01
00
11
10
00
01
10
00
00
00
11
11
00
10
11
11
00
01
11
10
10
00
00
00
00
10
10
10
01
10
10
11
10
00
11
00
11
10
00
00
11
10
11
10
00
10
11
01
00
11
10
00
00
10
10
10
01
00
01
00
10
10
10
00
00
11
10
00
10
10
00
00
10
11
00
01
11
11
10
11
01
01
10
10
00
01
01
00
11
10
01
01
01
11
10
00
00
10
00
00
10
10
00
00
10
01
00
10
10
01
10
10
10
11
10
01
00
01
11
01
10
00
00
10
00
00
10
10
01
01
00
10
11
01
00
00
10
10
10
00
00
10
10
00
10
10
10
01
00
00
10
11
10
10
11
01
00
10
00
00
00
11
11
10
10
10
11
00
00
11
11
00
00
00
00
10
10
00
11
00
10
01
11
01
01
10
01
10
10
10
00
00
11
10
11
00
00
10
00
10
00
11
10
11
00
11
10
01
00
10
01
11
00
00
00
10
10
00
10
10
10
11
10
01
00
11
11
00
11
11
10
00
00
10
00
00
10
01
01
10
10
10
01
10
10
11
00
00
01
10
10
01
01
11
10
00
10
00
10
00
00
10
00
00
11
11
11
00
01
01
11
10
10
01
00
10
11
01
01
00
00
10
00
01
10
10
00
00
00
01
11
10
00
00
10
10
10
10
10
11
00
01
00
00
10
01
00
10
10
00
01
01
00
10
10
11
11
10
00
00
10
10
01
00
00
11
01
10
01
00
00
00
10
10
00
11
10
10
00
00
01
10
11
00
10
10
11
10
01
01
00
11
10
00
11
11
10
11
01
00
10
10
10
01
01
10
11
10
00
00
10
01
10
00
01
10
11
10
11
10
10
00
01
10
01
11
10
10
10
00
00
00
10
00
00
01
10
10
00
00
10
01
00
10
00
10
11
01
00
00
10
00
10
01
10
10
01
01
10
10
01
10
00
10
10
10
11
10
00
00
10
00
00
10
01
11
01
00
11
10
10
00
00
10
00
00
10
10
00
10
00
10
00
00
11
11
10
00
11
01
00
00
10
00
00
00
10
00
10
10
00
10
10
00
10
01
00
00
01
10
10
01
11
00
00
10
10
10
00
11
01
00
10
10
00
00
00
01
10
00
01
10
10
11
11
10
01
00
11
00
00
00
01
10
10
00
01
10
01
10
10
00
11
00
10
10
01
10
11
11
11
11
01
00
11
00
00
00
11
10
00
00
10
11
00
11
10
11
01
01
00
00
10
01
10
10
00
01
11
00
10
10
00
00
10
11
11
01
10
11
11
00
10
01
10
11
01
01
00
10
10
11
00
00
00
11
00
01
00
11
00
10
00
11
10
01
10
10
01
00
10
10
00
00
10
10
00
10
10
10
10
00
10
00
00
10
10
10
00
01
10
10
01
01
10
10
00
00
10
00
01
11
01
00
00
00
00
10
01
10
10
00
11
00
00
00
01
10
00
11
11
10
01
00
10
11
00
10
00
00
10
00
01
11
01
10
00
10
10
01
01
11
10
10
00
01
10
10
00
00
10
10
11
11
01
10
10
00
10
00
00
10
10
00
01
00
00
00
11
01
00
11
10
11
11
00
00
10
10
00
11
10
10
11
00
00
01
01
10
00
00
10
10
00
01
00
10
10
00
00
10
10
10
10
00
11
11
10
00
00
11
11
11
11
11
01
00
01
00
01
10
00
01
10
10
10
00
10
01
01
11
01
00
01
10
11
00
01
10
10
00
00
01
11
00
00
10
00
00
10
01
00
01
00
10
01
00
00
00
10
11
11
00
10
10
01
10
01
00
00
01
00
00
10
00
01
11
10
11
01
10
11
00
01
00
00
10
10
00
01
10
10
10
00
10
01
10
10
10
11
11
00
10
10
00
10
11
00
00
11
01
11
10
10
11
00
10
00
01
10
00
00
00
00
11
00
11
00
10
11
00
11
10
00
11
01
01
00
01
11
10
11
01
00
11
10
10
11
00
00
01
10
11
11
11
10
00
00
10
11
00
10
10
00
10
10
10
01
00
11
11
00
00
10
11
10
11
10
10
10
00
10
00
00
10
10
00
10
01
10
00
01
10
10
00
00
10
10
00
00
10
11
00
00
11
00
10
10
11
10
00
10
01
10
10
10
10
00
10
11
00
00
11
10
00
00
00
11
10
00
00
00
11
11
00
11
00
00
11
10
01
00
11
10
01
00
01
00
10
10
10
00
10
10
00
00
11
10
10
10
10
01
10
11
00
00
00
00
00
11
10
00
00
00
01
10
10
10
01
10
11
00
00
10
11
01
00
01
10
00
00
00
10
10
11
00
10
01
00
10
01
10
10
10
01
00
10
11
10
10
00
00
00
11
00
11
00
01
01
10
11
00
11
11
10
00
00
01
11
00
11
11
01
00
00
11
00
10
11
10
00
00
11
00
01
10
11
10
10
00
11
11
00
11
00
10
11
10
01
00
11
01
00
11
10
10
00
11
10
11
00
00
01
00
10
11
00
01
10
11
00
00
11
10
01
00
00
00
10
00
00
11
10
10
01
00
10
00
00
11
10
01
01
10
11
11
01
00
11
00
01
11
11
10
00
01
10
10
00
01
00
10
10
00
01
10
01
10
10
10
01
10
00
10
11
00
00
11
10
11
00
10
10
11
00
00
00
11
11
10
00
00
01
10
01
00
11
10
00
00
01
00
01
10
10
10
00
01
11
01
00
11
10
01
10
11
10
00
10
10
00
00
00
10
00
00
10
01
01
00
00
01
10
10
01
10
10
00
00
00
10
10
00
01
00
00
11
00
01
11
10
00
10
10
00
01
10
11
01
00
10
01
10
10
01
01
10
01
00
00
10
10
00
11
10
01
11
11
00
00
10
10
10
10
11
00
11
00
10
11
01
01
01
00
10
10
10
01
00
00
01
01
11
10
01
01
10
00
11
11
01
11
00
00
00
01
10
11
00
00
10
10
00
00
10
10
01
01
00
11
11
10
00
00
11
00
11
10
01
10
01
10
10
00
11
10
10
00
00
00
10
00
10
10
00
10
10
10
01
01
01
00
01
11
00
00
11
01
00
10
10
00
10
10
00
01
00
11
11
00
10
11
01
00
00
10
00
11
10
10
00
01
11
10
00
10
00
00
10
00
10
10
00
11
00
01
00
10
11
10
10
00
01
10
10
01
00
11
10
10
10
00
01
00
10
11
10
10
10
10
10
10
00
00
10
10
00
10
00
01
10
00
10
10
01
00
10
01
11
11
10
01
10
10
11
10
01
11
00
00
10
00
01
00
11
10
10
00
11
10
11
11
00
00
01
10
00
10
10
00
01
11
00
01
10
00
10
00
11
10
10
00
10
11
11
01
00
11
01
01
00
10
11
01
00
10
00
00
00
00
00
00
10
10
00
11
00
00
11
00
00
10
00
10
11
11
01
01
00
10
11
01
10
11
10
00
10
00
00
10
01
10
10
00
10
10
01
00
10
11
01
10
00
11
11
10
01
00
10
00
10
00
01
10
10
11
10
01
10
10
01
00
01
11
11
01
10
00
10
10
00
00
11
10
00
00
11
01
10
00
10
00
00
00
10
00
01
10
10
10
10
01
11
00
10
11
10
01
10
11
00
11
01
00
10
10
00
01
00
10
00
11
10
11
00
01
10
11
01
01
10
11
11
00
00
00
00
10
10
10
00
00
10
00
01
10
10
10
01
10
01
01
10
10
01
10
01
01
11
10
00
00
00
10
01
10
10
10
00
00
01
11
00
01
00
00
00
00
00
01
00
10
10
10
00
00
10
11
01
11
00
00
11
10
11
11
00
00
00
00
11
00
10
00
00
11
11
01
00
01
11
11
10
10
10
10
01
00
00
00
10
11
10
10
11
00
00
10
01
00
00
11
10
01
11
01
11
00
00
00
10
01
01
11
01
11
00
11
10
00
00
10
10
01
00
00
00
01
01
10
10
11
10
01
10
01
00
00
11
10
10
00
10
11
00
10
10
10
00
10
10
00
10
00
00
10
00
00
10
00
01
00
10
00
00
00
00
10
11
10
11
00
11
10
01
00
11
10
11
00
00
10
01
10
10
11
00
00
10
11
01
00
11
10
01
00
00
01
00
01
10
00
00
10
10
00
10
10
11
10
00
00
10
10
10
00
10
00
01
01
10
01
10
00
00
10
10
00
00
10
01
00
01
11
11
10
10
10
00
11
11
11
01
10
10
01
00
00
10
10
10
00
00
00
00
01
10
11
11
11
01
00
11
00
00
11
10
01
00
10
10
11
10
10
01
00
00
00
11
10
00
11
01
00
10
10
10
11
11
00
00
00
01
10
10
00
00
10
11
00
10
10
01
01
01
11
10
11
00
01
10
11
00
00
11
01
10
10
00
10
00
01
10
00
10
10
10
01
00
10
00
10
10
00
00
01
00
00
10
00
01
11
00
00
00
10
01
00
00
10
00
00
00
11
11
01
00
00
10
00
01
00
10
10
01
00
11
10
00
00
10
00
00
00
10
10
10
10
11
01
01
11
00
10
10
10
01
10
10
10
10
00
11
00
01
00
10
00
10
00
10
00
11
00
11
00
11
11
10
00
00
01
10
10
00
00
10
00
00
10
00
00
00
00
11
10
11
10
11
00
10
00
11
11
10
00
00
00
00
10
10
00
01
10
10
01
11
00
11
00
00
10
10
01
00
10
11
10
11
10
01
00
10
00
10
10
10
10
00
01
00
01
00
11
10
10
00
10
01
11
01
00
11
00
00
11
11
01
00
01
10
00
00
00
00
10
00
01
11
11
10
00
10
01
10
11
10
10
01
00
01
00
00
10
10
00
01
00
10
01
00
10
11
00
01
00
10
00
10
00
00
10
00
01
10
01
10
00
10
10
10
01
01
10
10
11
10
01
00
11
10
11
10
01
11
10
00
01
10
10
10
01
10
00
01
10
00
11
10
01
10
10
00
00
00
10
11
00
10
10
10
10
01
00
01
11
00
00
11
11
10
10
01
01
00
11
01
01
00
11
10
10
10
01
00
10
00
10
10
00
10
10
01
01
11
01
00
00
00
01
00
01
11
10
00
01
10
10
10
00
10
11
10
00
00
11
11
01
01
00
10
10
00
10
10
01
11
11
00
00
00
01
10
11
10
00
01
11
00
01
00
10
00
10
10
00
00
10
00
00
11
11
00
10
00
11
00
00
10
11
00
00
10
00
10
00
01
01
10
00
01
11
01
10
11
00
00
00
10
10
00
00
10
10
00
10
10
01
01
00
00
11
00
10
00
01
10
00
00
00
00
10
00
01
00
11
01
01
11
11
11
00
00
10
10
00
01
00
01
10
10
00
10
00
10
00
10
00
10
10
11
00
10
10
00
01
01
00
00
10
01
01
00
10
11
00
10
01
01
01
10
00
11
10
10
00
10
11
00
00
11
01
01
11
10
00
01
10
10
11
00
00
10
10
00
10
01
00
01
11
10
10
01
10
10
11
00
01
10
01
10
11
00
11
00
01
00
10
00
10
00
00
10
01
11
01
10
11
00
11
10
10
10
10
01
01
01
11
00
10
00
00
01
10
00
00
11
00
11
01
11
01
00
11
00
10
10
00
00
00
10
10
10
01
10
11
00
00
10
10
10
00
00
10
00
01
00
10
00
00
11
10
10
01
10
01
00
00
00
00
00
11
11
01
10
01
01
00
00
10
10
00
00
11
00
00
01
00
00
10
00
01
10
10
10
01
01
10
00
10
11
11
01
01
10
01
00
00
10
01
10
00
10
10
01
01
10
11
11
00
00
10
00
10
10
00
10
10
10
10
01
01
01
00
01
00
00
00
11
10
01
01
11
10
00
00
10
00
01
00
10
00
01
01
01
00
11
10
11
00
00
11
01
01
10
10
00
11
10
01
01
10
11
10
11
01
01
10
10
10
01
11
01
00
10
10
00
01
10
11
00
01
10
01
00
00
10
01
00
10
11
00
00
10
00
00
00
00
01
00
10
10
00
10
00
11
00
00
10
00
10
00
01
00
11
11
01
10
10
00
01
01
01
10
00
00
10
00
10
10
01
00
11
10
10
01
00
00
01
00
11
01
10
01
00
11
01
01
10
01
11
10
01
01
01
00
10
11
00
11
00
10
10
00
01
10
01
00
10
10
11
00
10
10
01
01
00
00
10
10
00
01
00
00
10
00
00
10
01
10
00
11
10
10
10
10
10
00
00
10
01
11
11
11
10
10
01
01
10
00
11
10
11
00
01
00
00
10
10
10
10
11
00
01
00
10
00
01
00
10
10
00
01
11
11
11
00
00
10
10
11
01
01
10
11
00
01
10
11
01
00
00
01
01
11
10
00
01
00
00
10
00
00
00
10
11
10
00
01
11
10
10
00
00
01
00
11
10
01
01
01
11
10
10
00
10
11
10
00
00
10
10
10
01
00
10
00
10
01
00
10
10
11
10
10
10
00
00
10
10
10
00
10
10
00
00
00
10
00
11
00
11
01
00
11
10
00
01
00
00
00
10
10
11
10
11
00
10
01
11
10
01
10
10
11
00
01
11
10
00
00
00
10
11
00
01
00
11
11
11
00
10
10
00
10
10
00
01
00
00
10
10
11
00
10
00
01
10
00
11
00
10
10
00
10
10
00
10
11
00
01
00
11
10
10
00
10
11
01
00
11
00
11
11
11
10
00
00
00
10
10
00
10
00
10
00
01
00
01
00
10
10
00
00
10
10
00
10
00
00
10
10
01
00
10
11
11
10
11
01
00
00
11
00
10
10
00
10
01
11
10
10
00
10
00
00
11
00
01
11
01
10
10
00
10
11
01
11
01
00
01
10
00
01
10
10
11
00
01
00
01
10
01
11
00
10
10
00
11
10
10
00
00
11
01
01
00
10
10
00
01
11
00
00
00
10
00
00
11
10
00
11
10
00
01
10
11
00
01
10
10
11
01
11
11
00
00
10
11
10
00
00
10
10
11
00
00
00
10
10
10
00
10
10
11
11
00
00
00
00
10
11
01
01
10
10
01
01
00
10
01
01
00
01
10
10
11
11
00
10
00
00
11
01
00
01
11
00
10
10
10
10
11
01
00
01
10
10
00
01
01
11
00
00
10
10
10
01
10
00
11
00
10
01
01
10
00
00
10
10
10
00
10
11
00
00
10
00
10
01
01
01
00
11
11
11
01
01
11
10
10
01
01
01
00
10
10
00
10
11
00
00
01
01
11
10
01
10
10
10
00
00
10
11
10
10
10
11
00
01
00
10
11
10
01
00
00
00
00
10
00
10
10
01
00
10
11
10
10
00
10
00
00
11
00
10
10
01
11
11
11
00
10
11
10
10
10
01
00
01
01
10
00
11
10
01
10
10
00
00
01
10
00
10
00
00
10
11
00
00
10
00
01
10
11
10
10
00
10
01
01
00
00
10
00
10
00
00
10
00
10
10
10
11
11
00
10
10
00
00
11
10
10
00
00
00
11
10
11
10
01
10
11
10
00
00
10
00
01
01
01
00
10
11
11
00
00
00
10
10
10
00
00
10
10
11
11
10
10
00
10
10
00
00
01
00
10
00
00
01
10
01
00
01
10
11
01
11
00
10
10
00
11
00
10
11
10
00
10
00
00
10
11
11
00
11
11
10
11
01
01
00
11
11
01
00
10
11
11
01
00
10
00
00
11
11
11
10
10
00
10
11
00
00
00
01
00
11
00
10
00
10
10
00
01
01
10
10
01
10
11
11
00
10
00
01
01
10
11
00
10
11
00
10
10
00
10
01
10
00
10
10
10
10
00
00
00
11
11
10
10
01
00
00
11
10
10
01
10
10
00
00
11
10
01
00
01
00
10
10
11
10
00
00
10
10
00
00
11
01
01
10
10
11
10
00
00
10
11
10
11
00
10
11
00
10
00
10
00
10
00
01
10
01
01
11
00
00
11
01
00
11
10
10
01
00
01
10
00
00
10
11
11
00
10
00
00
11
10
11
00
00
00
00
00
00
10
10
11
11
00
10
00
00
11
01
10
10
01
01
01
00
00
11
11
10
00
00
10
01
11
11
11
10
01
10
10
00
01
01
01
10
11
10
10
10
01
10
01
00
10
00
01
00
11
01
01
10
11
10
00
01
11
11
01
10
11
10
00
00
10
10
00
00
00
10
10
00
10
01
00
10
01
11
11
11
01
00
10
00
10
11
00
00
01
11
00
10
10
10
10
10
10
01
00
00
00
10
01
10
10
01
01
00
11
10
01
00
11
01
10
11
00
11
00
11
10
00
10
11
00
00
00
10
10
10
00
00
10
00
01
10
00
10
10
10
10
01
10
10
10
10
00
00
10
10
10
00
00
10
10
00
00
11
00
00
00
00
10
10
10
00
00
10
10
00
10
10
00
10
11
01
10
10
11
01
00
10
10
00
01
10
10
01
01
00
01
10
10
10
11
11
00
01
11
11
00
10
00
10
10
00
11
11
01
00
10
10
00
01
00
01
10
00
00
10
10
00
11
10
01
00
00
10
10
00
00
11
10
00
10
10
00
11
10
00
00
10
11
01
00
10
10
11
10
01
01
10
10
01
00
10
00
00
00
10
10
00
11
10
10
00
10
10
10
10
01
00
11
10
00
00
01
00
10
11
00
01
10
00
00
00
10
11
11
00
11
10
10
10
10
00
00
10
00
10
11
11
11
10
11
11
11
11
00
01
10
10
10
11
10
00
00
00
11
00
00
11
11
00
01
00
00
10
10
11
10
00
11
00
01
00
10
10
10
10
00
00
10
01
00
01
10
00
10
10
00
00
10
10
10
00
11
01
01
10
01
01
00
10
11
01
10
11
00
11
00
10
00
10
00
11
10
00
10
10
10
00
01
10
11
10
00
11
10
01
01
00
10
00
00
00
10
10
01
01
10
11
00
00
00
00
11
01
00
10
00
10
11
00
00
10
01
10
10
11
00
00
11
10
00
00
00
10
10
01
01
00
10
00
00
11
10
01
10
10
10
11
01
00
00
11
01
11
00
10
01
00
10
00
10
11
10
01
10
10
10
00
10
00
00
11
00
11
00
00
00
10
00
00
11
00
10
11
11
10
00
00
00
10
10
10
10
11
11
00
00
10
10
11
10
11
10
11
00
10
11
01
01
10
11
10
01
00
10
00
00
01
10
10
00
00
00
11
10
10
00
00
00
10
10
11
10
01
00
01
00
10
11
00
01
00
10
11
00
10
00
10
10
00
00
10
10
11
00
00
01
00
00
10
00
11
10
10
10
10
01
00
10
10
00
01
10
01
10
01
10
01
01
11
10
01
01
01
10
11
00
00
00
11
10
00
00
01
00
10
10
10
00
10
00
01
10
10
01
11
10
10
01
10
11
10
11
01
01
00
01
01
00
10
00
00
11
10
00
01
10
11
00
01
00
00
00
10
10
00
01
10
10
01
10
00
00
10
00
01
01
10
10
10
01
00
10
00
00
10
10
11
11
01
00
00
00
00
01
10
11
10
10
00
10
00
00
10
10
11
00
00
10
00
00
00
11
00
10
11
11
01
11
10
01
11
10
01
00
10
00
00
10
00
00
10
10
00
10
10
10
00
00
00
00
11
01
10
10
10
00
10
00
00
10
10
10
10
01
00
11
01
10
10
00
10
11
11
01
00
11
11
01
10
00
10
10
10
11
00
00
10
11
00
01
00
10
10
10
00
01
10
10
10
00
00
10
10
00
01
10
10
00
10
11
01
10
01
11
11
01
10
11
10
00
00
10
11
00
10
00
00
00
11
01
11
10
10
10
11
11
10
01
01
10
00
10
00
10
00
00
00
10
10
11
01
10
10
10
01
00
11
00
00
10
10
11
10
10
00
01
11
00
00
00
10
11
10
01
00
10
01
10
00
00
10
00
00
11
11
01
01
10
10
00
11
11
01
00
00
00
11
00
10
00
01
11
00
00
00
01
11
10
00
01
10
00
10
10
10
01
00
00
11
10
00
00
00
11
00
00
01
00
11
00
00
00
00
00
11
10
00
10
11
00
00
00
01
01
11
10
00
01
00
01
11
10
00
01
11
10
10
11
11
00
00
10
00
01
11
01
10
11
00
11
10
10
00
11
11
00
10
00
00
11
11
00
00
00
00
10
00
00
11
10
10
11
01
11
10
00
00
00
11
10
01
00
10
10
00
11
00
00
10
10
00
00
10
10
00
10
11
00
00
00
10
01
01
10
10
10
00
00
01
00
11
11
10
10
00
00
11
01
00
11
01
10
10
00
01
10
10
00
01
11
11
00
01
01
10
10
01
01
11
00
00
10
00
11
10
11
01
10
11
01
00
10
01
01
00
11
00
00
10
10
11
11
00
01
11
10
10
00
00
00
10
10
01
01
00
01
10
11
01
10
11
00
11
10
00
01
10
11
01
01
10
11
00
10
10
10
10
00
01
11
00
01
00
11
00
10
10
00
00
00
10
00
01
00
11
10
00
10
00
10
00
01
10
10
00
10
01
00
00
10
00
00
11
00
01
01
01
11
00
00
01
01
11
10
01
00
11
00
01
00
00
11
11
01
00
01
10
10
10
10
01
10
10
10
10
00
10
10
00
10
00
00
10
00
10
00
10
00
10
11
01
11
11
10
01
00
00
01
11
10
10
10
00
00
01
00
00
11
10
10
10
11
10
00
11
11
11
10
00
00
10
11
10
01
00
10
11
10
11
00
10
01
00
10
10
10
11
00
00
00
01
00
00
01
01
11
01
10
10
10
01
00
10
00
00
00
00
01
01
10
11
00
11
00
01
10
10
00
00
10
10
10
10
00
01
11
00
10
00
01
00
11
10
10
00
01
10
11
00
01
10
01
00
11
00
01
01
10
10
01
11
10
11
11
01
00
10
10
00
00
00
10
10
00
00
11
10
01
00
00
00
11
11
00
10
10
00
10
00
01
11
10
10
00
00
01
11
10
00
11
00
10
00
00
10
10
10
00
00
11
00
11
11
11
01
10
11
11
11
01
01
11
11
00
01
00
11
00
00
11
10
10
01
11
10
00
10
10
10
10
00
00
11
10
00
01
10
00
00
10
11
00
10
10
00
00
00
00
11
10
00
10
10
11
01
00
00
00
10
11
10
10
10
11
00
00
00
10
01
10
00
10
10
10
10
01
00
01
11
11
10
00
10
11
00
01
11
00
11
10
00
00
10
10
00
00
01
00
00
10
00
11
00
00
11
00
11
00
01
10
10
00
10
10
00
10
01
10
11
11
11
01
01
01
11
10
10
00
00
10
11
01
11
10
01
10
10
00
01
00
10
01
10
00
00
11
10
11
00
10
00
00
00
10
10
00
10
00
01
00
01
10
01
10
10
10
10
10
00
00
11
00
11
10
10
01
10
11
00
10
10
10
11
11
10
00
00
00
01
10
11
00
00
00
10
00
10
00
11
11
10
10
00
10
00
00
00
00
00
11
00
00
11
00
11
00
11
11
10
00
01
01
00
10
10
10
00
00
10
10
00
00
10
10
01
10
10
10
10
00
00
10
10
01
10
01
00
11
10
01
00
01
00
10
00
00
00
10
10
00
11
11
00
10
10
11
10
10
00
11
01
11
00
10
00
10
10
11
00
00
10
11
00
10
10
00
01
00
10
10
01
10
00
00
10
00
00
10
10
01
01
10
10
11
00
11
10
01
10
00
00
00
11
11
11
10
00
10
00
00
10
01
00
00
11
10
00
01
01
10
10
10
00
10
00
10
11
11
11
00
10
11
10
00
00
00
01
10
11
10
10
00
01
00
10
10
00
01
10
10
01
00
00
00
00
00
01
10
11
10
00
10
00
00
10
00
00
01
00
10
11
10
00
01
01
01
00
10
01
10
11
10
10
00
00
11
01
00
00
11
10
01
00
10
10
01
00
11
10
01
00
11
00
00
10
10
11
01
10
11
00
00
00
11
11
00
01
01
11
00
00
00
10
01
10
11
00
11
00
01
11
10
00
00
01
10
01
00
11
10
10
11
00
10
01
00
10
00
00
11
10
10
11
11
01
01
01
10
10
00
01
11
01
01
11
01
00
10
10
00
00
11
10
00
01
10
01
11
00
10
00
10
00
00
10
00
01
10
01
00
10
10
11
10
00
10
01
01
10
01
10
01
01
10
01
11
00
01
11
00
11
01
10
00
10
10
01
01
10
00
00
10
00
00
10
00
10
01
10
00
11
00
11
01
00
11
11
10
01
11
11
00
00
10
11
00
01
10
10
10
00
11
11
11
00
00
10
00
00
11
11
00
10
00
11
00
01
11
00
00
10
00
01
11
10
10
01
11
10
10
10
10
11
10
00
00
10
11
10
00
01
10
11
11
11
11
10
01
01
00
11
10
01
01
10
10
11
01
01
00
10
00
01
10
00
01
00
11
10
10
11
10
01
01
00
11
10
00
00
10
10
11
10
00
11
01
00
11
10
11
10
11
00
00
00
10
00
01
10
10
00
00
00
11
10
00
01
11
11
11
10
00
10
10
01
00
10
10
00
01
10
00
01
10
10
01
00
11
00
01
10
11
01
00
10
10
10
00
00
11
01
00
00
00
10
01
10
11
01
01
00
10
00
00
01
11
10
11
01
01
01
11
10
10
10
11
01
00
11
10
00
01
10
00
10
01
00
10
01
10
00
00
10
00
10
10
01
00
10
00
11
00
00
11
01
01
10
10
10
10
00
00
00
10
10
00
10
10
10
01
00
10
00
00
01
00
00
10
01
00
11
10
01
10
00
01
10
10
00
11
10
11
01
00
10
01
10
00
11
10
10
10
10
11
00
00
10
11
10
00
10
00
00
10
10
10
00
00
00
01
00
11
10
00
00
10
10
10
10
00
00
01
01
00
10
01
00
01
00
00
01
00
10
00
01
10
11
10
01
10
10
10
00
10
11
10
10
00
10
01
11
11
00
00
10
11
00
00
10
10
01
10
10
11
01
11
11
10
10
10
01
11
01
00
00
11
10
10
10
01
10
10
00
10
00
00
10
10
10
00
10
00
00
00
00
00
10
10
10
01
00
01
10
10
01
11
10
10
10
00
11
00
10
00
01
00
01
00
10
00
00
01
00
01
10
10
10
00
01
10
10
00
01
10
10
01
01
10
10
00
11
00
11
01
00
01
00
10
00
10
10
10
00
00
00
00
01
01
00
00
11
10
10
11
10
10
11
00
01
00
11
00
01
11
00
01
10
00
00
00
11
01
11
10
00
10
00
00
00
10
10
00
11
10
10
10
01
00
10
10
00
11
00
11
01
01
10
00
10
10
11
00
00
10
10
01
10
01
00
00
10
00
10
10
11
10
00
10
10
10
10
10
10
01
00
10
01
00
10
01
11
00
10
10
00
00
11
11
00
00
10
00
11
00
00
11
00
10
10
01
00
11
11
01
01
11
11
00
01
01
10
11
00
10
10
01
01
01
11
10
10
10
01
01
11
01
11
11
00
00
10
00
00
11
00
00
00
11
00
00
10
11
10
10
00
01
10
01
00
10
11
10
01
10
10
00
10
10
00
00
11
10
10
10
10
01
00
00
00
00
01
01
01
11
01
11
10
00
10
00
00
10
11
10
11
11
00
00
10
10
00
10
00
01
00
10
10
01
11
01
11
11
10
00
11
00
00
00
10
11
10
10
10
11
11
00
01
11
10
10
10
00
11
00
01
11
11
11
10
00
10
00
01
00
10
10
10
00
10
01
00
00
11
10
10
10
10
10
10
00
10
00
11
01
00
11
01
00
00
00
00
10
10
01
10
01
10
00
11
10
00
11
10
10
11
01
00
00
10
10
01
10
10
00
00
10
10
00
10
11
01
01
00
10
10
00
00
00
10
10
10
11
00
10
01
01
11
10
00
11
10
01
00
10
10
00
01
10
00
01
10
00
10
01
10
10
10
10
00
10
00
10
00
00
01
10
11
01
10
11
00
00
10
11
10
11
01
01
01
10
10
00
10
10
01
00
00
10
10
11
00
01
10
10
00
10
11
00
01
10
10
00
00
01
00
00
10
00
11
00
01
00
10
10
01
10
11
00
00
00
11
00
01
11
10
00
11
10
10
01
01
00
01
10
00
10
10
11
11
00
01
00
00
00
10
01
11
00
10
00
00
10
10
10
00
10
00
00
11
11
00
00
01
10
00
01
10
11
10
01
00
11
00
00
01
10
11
01
10
00
00
01
10
00
00
11
11
11
10
10
11
00
10
11
01
00
00
10
11
01
01
10
00
11
00
00
01
10
10
10
10
10
00
00
00
00
01
01
01
10
01
01
10
11
10
10
01
11
10
01
11
11
01
00
10
01
10
10
10
01
10
10
00
00
00
10
00
01
11
10
00
10
00
11
10
00
10
00
00
01
00
10
11
00
10
10
00
01
10
01
11
10
00
00
10
00
00
11
11
10
00
00
10
10
01
01
10
01
10
11
00
00
00
10
10
00
10
01
00
10
11
00
10
10
01
10
10
00
01
00
00
10
10
11
10
11
01
00
00
10
11
01
00
10
11
00
10
10
00
00
01
00
11
11
10
00
01
00
01
10
10
01
01
10
10
01
00
11
11
11
00
01
10
01
11
11
00
11
00
00
00
10
10
00
00
10
00
01
10
10
00
10
10
01
00
00
01
11
00
00
10
00
00
10
00
10
11
10
00
00
01
00
00
10
10
01
11
01
11
11
11
01
00
10
11
01
00
11
00
00
00
10
10
11
10
01
11
00
11
11
00
00
00
11
11
00
01
10
11
11
10
00
11
11
01
10
11
00
01
01
10
00
00
10
00
01
11
10
10
00
00
11
01
01
00
10
10
00
01
10
10
00
00
10
00
00
10
00
01
01
01
00
11
11
10
11
00
11
01
00
10
10
10
00
11
00
01
01
01
10
11
10
00
10
00
01
10
10
10
10
10
10
00
00
10
10
10
01
11
00
11
10
10
00
00
10
01
00
00
01
10
10
00
00
10
11
10
10
01
11
00
00
00
00
10
10
10
10
00
01
10
11
10
11
10
00
01
00
01
10
01
00
10
10
10
01
10
01
00
00
00
00
10
00
10
10
10
10
00
10
00
11
01
11
01
10
10
01
00
10
11
00
00
00
00
10
01
00
00
11
01
00
01
10
10
00
10
11
00
10
10
01
00
10
01
00
00
10
11
00
11
00
00
11
10
11
00
01
00
00
01
10
01
01
01
10
10
00
01
01
11
01
01
10
00
11
10
01
00
10
11
00
00
01
00
10
01
10
10
10
10
11
00
00
10
00
00
10
01
11
10
00
10
00
00
00
00
10
10
10
01
00
10
00
11
01
01
10
00
00
10
00
11
10
00
10
00
11
00
00
11
00
11
11
00
01
10
00
01
00
00
01
10
10
11
01
11
11
00
10
10
00
10
00
01
00
00
00
11
00
00
00
00
10
01
10
10
10
01
10
00
00
10
11
00
00
00
01
11
00
10
00
10
10
00
10
10
01
01
11
10
10
11
01
01
01
10
01
00
11
11
10
00
00
01
11
00
01
10
01
00
01
10
10
00
00
11
10
00
00
10
10
01
10
00
11
00
00
01
00
11
00
11
10
00
11
10
00
00
01
11
10
01
01
00
10
10
00
00
00
10
00
10
10
00
01
11
00
00
10
00
00
01
10
01
10
11
00
10
00
01
00
10
10
00
00
11
10
00
11
01
00
00
01
01
00
11
00
10
10
11
10
11
10
01
00
10
00
00
00
10
01
10
11
00
00
11
00
10
10
10
10
01
11
10
00
01
00
10
00
01
11
10
01
10
11
01
01
01
10
11
00
01
10
00
00
10
00
00
10
01
01
10
11
00
01
00
01
10
01
00
11
10
01
10
10
11
10
11
00
11
10
00
00
00
11
10
00
00
10
11
10
00
10
10
10
01
10
11
10
00
00
10
01
00
00
10
11
00
11
10
01
10
11
00
00
00
01
10
00
00
00
10
10
11
00
10
01
01
11
10
11
01
10
00
10
00
00
10
10
01
00
11
10
01
11
00
10
11
00
11
10
00
10
00
01
10
10
00
10
11
00
10
10
00
01
01
00
11
00
10
00
01
11
00
11
10
00
00
11
11
11
00
00
10
00
10
00
11
11
00
00
01
10
00
10
00
10
00
00
00
01
01
00
11
10
01
00
01
10
10
10
00
10
11
00
01
01
10
01
10
10
01
10
10
00
01
10
00
10
00
00
10
00
11
10
00
10
00
01
10
00
10
00
00
10
00
10
10
11
10
10
01
00
10
00
10
00
00
00
11
11
01
00
10
11
01
10
11
11
00
00
01
11
10
00
00
01
00
00
10
10
10
01
00
11
10
10
00
10
10
10
10
00
00
10
01
11
01
01
10
01
10
00
00
01
11
11
10
00
11
01
00
11
10
00
10
00
01
01
11
11
10
10
10
00
11
01
01
00
00
10
00
11
10
00
10
01
01
00
00
10
00
00
11
10
10
00
01
10
11
10
00
10
00
00
00
10
10
00
11
10
00
11
10
00
00
10
11
00
01
10
00
00
00
10
00
11
10
10
01
01
10
01
10
10
11
10
10
00
00
10
11
11
00
00
10
11
01
00
10
10
10
00
10
11
00
00
00
00
11
01
01
10
10
00
01
10
11
01
10
10
10
10
11
00
01
00
11
10
00
00
00
11
10
10
10
00
00
10
00
10
00
00
11
01
01
11
10
00
10
01
01
01
00
00
00
10
10
10
11
00
10
00
01
11
10
01
01
00
10
01
10
00
00
00
10
00
00
00
00
10
00
10
01
01
10
10
01
00
10
10
01
10
10
00
01
10
00
10
11
01
10
01
00
10
10
10
01
00
00
10
10
10
10
00
10
11
00
11
11
00
00
01
00
11
10
00
10
00
10
11
01
01
10
10
01
10
00
11
11
01
11
01
00
00
10
10
01
00
11
11
00
01
01
10
10
11
00
01
00
10
00
00
11
01
10
10
10
11
00
10
00
00
01
00
10
00
10
11
00
01
10
11
00
01
00
10
10
00
00
11
10
01
00
00
11
10
10
11
00
00
10
01
10
10
00
01
00
11
11
00
00
10
00
10
00
00
00
10
11
10
10
00
10
10
00
10
01
00
10
00
00
00
10
10
11
01
11
01
10
00
01
00
10
10
00
00
10
00
11
00
00
10
00
10
10
10
00
11
10
00
10
10
11
10
00
01
10
01
10
10
11
11
10
00
01
11
00
00
11
10
10
10
11
01
00
10
01
11
10
11
00
00
00
01
00
11
10
01
11
00
11
10
00
01
10
10
11
00
01
00
10
10
00
10
01
01
10
11
00
00
10
10
10
00
10
00
00
11
00
00
00
10
00
00
10
10
00
01
11
00
11
00
10
00
10
10
01
01
11
00
11
01
00
10
10
01
00
11
10
00
00
10
11
00
00
10
10
01
00
10
10
01
00
01
00
10
00
11
11
11
00
00
11
10
00
10
00
00
00
10
01
10
00
11
01
00
01
10
01
00
10
00
10
00
00
01
11
11
11
00
10
10
10
01
00
00
10
10
01
10
10
00
00
01
00
10
11
11
00
00
10
10
11
00
00
00
00
01
10
00
11
00
00
11
10
00
10
00
11
11
00
10
01
10
11
10
00
00
00
11
10
10
00
10
00
01
00
00
10
01
01
10
10
01
11
11
10
11
10
00
00
10
00
01
00
00
00
01
11
11
11
10
10
10
00
00
00
10
10
10
00
00
00
00
01
10
11
10
11
00
11
01
01
11
11
11
00
00
11
00
00
00
00
11
00
00
11
11
10
01
00
01
10
00
10
10
00
01
10
00
00
11
10
10
00
00
10
10
10
10
00
01
00
11
00
11
01
01
00
11
11
01
01
10
10
01
10
11
10
00
00
00
01
10
11
01
10
10
01
00
10
10
00
11
10
00
10
10
01
10
10
01
00
11
00
00
11
00
10
01
11
10
10
00
00
10
10
01
10
00
10
00
00
10
00
01
11
00
10
10
11
00
10
10
11
10
11
10
01
00
11
01
10
00
01
00
00
10
10
10
10
10
00
11
10
01
10
00
01
00
10
00
00
11
00
01
10
11
10
10
00
10
00
01
10
11
00
00
10
01
00
00
10
01
10
10
00
00
01
10
11
01
00
10
01
11
10
01
00
10
00
11
10
01
00
10
11
00
10
10
11
00
00
01
10
10
00
10
00
10
00
10
11
00
00
10
00
11
11
01
01
11
11
11
10
11
00
11
00
10
11
01
10
10
10
00
01
10
00
00
10
10
00
00
10
00
01
10
01
00
00
10
00
01
00
01
11
00
00
00
01
10
10
10
10
00
10
00
00
10
10
01
10
10
00
10
00
10
10
10
10
01
11
01
00
10
00
10
10
00
10
10
00
10
10
00
00
10
10
11
11
11
10
00
00
10
10
01
10
10
01
10
10
11
00
00
10
00
00
10
10
10
01
00
10
00
11
11
00
11
10
11
00
10
00
11
00
00
10
00
11
00
00
10
11
00
00
00
10
10
00
10
00
10
00
10
11
10
01
00
11
10
01
10
00
00
10
01
10
11
00
00
10
10
00
00
10
00
10
11
00
00
01
11
10
11
00
00
10
01
11
11
01
00
01
01
00
11
10
00
10
10
00
10
10
00
10
00
00
10
00
01
00
10
10
00
00
00
10
00
00
00
01
10
01
11
00
11
10
11
00
10
00
10
11
00
01
11
00
10
11
00
11
10
01
00
00
11
10
00
00
00
10
00
10
01
00
10
00
00
10
10
01
11
01
00
00
11
00
00
10
10
01
10
11
00
01
11
10
11
01
10
10
10
00
11
01
01
10
00
10
10
11
11
10
00
01
10
11
00
00
11
00
10
01
11
10
00
10
00
00
00
11
01
10
10
10
00
00
10
00
01
10
10
11
00
00
11
01
10
00
00
10
00
00
10
00
10
10
11
10
00
11
01
11
01
00
10
11
11
00
00
00
10
10
01
11
10
00
00
10
01
00
10
00
00
00
11
10
00
11
10
01
10
00
01
01
11
10
00
10
10
00
10
10
10
00
01
10
00
10
01
11
10
10
00
00
00
10
10
00
01
10
10
10
00
10
10
11
00
11
00
01
11
01
00
11
10
01
10
10
10
00
00
01
00
11
01
11
00
10
00
01
10
11
10
00
00
00
10
10
10
01
01
11
00
11
10
00
10
11
10
00
01
11
00
10
00
01
10
10
10
00
10
11
00
01
00
00
01
10
10
01
10
10
10
10
00
10
00
10
10
01
10
01
10
00
01
10
00
11
01
00
11
10
10
00
11
10
00
10
00
10
01
11
00
10
00
10
01
10
11
00
00
00
00
00
10
00
01
10
00
00
00
10
01
10
11
10
00
00
10
10
01
11
01
00
11
01
10
01
00
10
10
00
01
10
00
10
11
10
10
11
00
01
10
10
00
10
10
00
11
00
01
11
01
11
10
10
01
00
11
00
00
11
01
00
11
10
00
00
00
10
01
00
10
10
10
11
00
01
01
11
10
10
11
00
01
10
10
00
11
00
00
00
10
01
10
00
01
00
11
10
10
00
10
10
00
01
10
10
01
10
00
00
00
11
11
00
01
10
10
00
10
01
10
11
00
00
10
00
00
10
11
10
10
10
10
10
10
01
00
11
10
00
10
00
10
00
11
10
00
11
00
11
00
10
00
00
10
10
10
00
00
00
10
10
00
10
01
00
00
10
11
11
00
10
00
00
00
10
11
10
10
11
01
00
01
00
00
00
11
10
00
10
11
10
01
00
01
10
10
00
11
00
01
10
11
10
11
00
00
11
10
00
00
00
10
00
10
00
00
11
00
11
11
10
01
00
00
00
00
10
00
00
10
11
01
01
00
10
10
01
11
00
00
00
00
10
10
10
01
01
01
10
01
00
10
00
10
11
00
11
10
00
11
00
11
11
10
01
00
11
00
11
10
00
00
10
10
00
00
11
00
00
00
00
10
00
00
10
11
00
00
10
10
10
10
01
00
01
00
11
10
01
00
00
10
10
10
01
00
10
10
00
00
10
10
00
00
00
01
10
10
00
10
10
10
10
11
00
00
10
00
00
00
10
00
10
10
01
00
00
10
10
10
11
01
00
10
10
10
10
00
00
11
10
00
10
10
00
00
11
10
00
01
10
01
10
11
10
00
00
11
00
00
01
10
11
01
00
10
10
01
10
01
00
10
10
11
11
11
00
11
10
10
00
01
00
10
00
00
10
01
11
10
10
11
11
01
00
01
10
00
00
11
10
00
00
10
00
00
01
10
00
01
00
01
11
00
10
10
01
00
11
10
00
10
01
10
10
00
01
01
10
00
00
10
10
11
00
00
00
10
11
10
00
00
11
10
10
00
01
10
10
00
10
10
00
00
00
00
11
10
11
00
11
10
10
01
10
11
00
11
10
00
11
10
00
01
00
10
00
00
00
11
10
10
10
10
11
10
01
00
00
00
00
00
11
11
01
11
10
10
01
11
01
00
10
10
10
11
01
10
10
00
00
11
00
10
10
01
00
00
11
11
10
00
00
10
00
11
11
01
11
01
00
00
00
00
00
10
10
00
00
10
00
01
00
11
11
10
10
00
10
10
01
01
11
00
11
10
10
10
01
10
00
00
10
10
01
10
11
10
00
10
10
00
10
00
11
11
11
10
10
00
10
10
11
00
00
11
00
10
01
00
10
10
11
10
10
10
01
00
10
10
01
00
00
10
01
01
11
01
00
00
10
00
00
11
00
01
10
10
00
10
00
11
10
01
10
11
11
00
00
11
11
01
00
10
11
00
00
00
00
10
01
00
10
10
11
01
00
11
10
00
00
01
01
01
11
10
00
00
10
10
00
00
10
10
10
11
00
10
10
00
10
10
00
11
10
11
00
00
11
10
00
00
00
10
10
11
01
11
10
11
00
00
11
11
10
10
00
01
10
10
10
10
00
10
10
11
10
01
00
01
01
01
01
11
11
11
11
01
11
10
10
01
00
11
01
00
10
00
00
10
10
01
00
10
11
10
00
10
10
10
00
00
11
00
01
01
10
10
01
11
00
11
11
00
01
00
00
01
01
10
10
00
01
11
00
01
10
00
00
11
10
00
11
10
10
10
00
00
01
01
00
00
00
10
00
00
11
10
00
10
00
00
00
01
11
00
01
00
11
00
00
00
01
10
11
11
01
00
11
10
00
10
01
10
10
01
10
00
01
00
01
01
00
10
01
01
11
00
00
00
10
10
01
10
00
00
00
11
10
00
11
10
01
01
01
00
11
00
10
11
00
10
11
01
01
11
00
00
01
11
10
10
10
00
10
10
11
00
00
11
11
00
10
11
11
10
11
01
00
01
11
00
10
10
00
10
11
00
11
00
00
10
11
00
00
10
00
10
10
01
10
00
00
10
11
01
01
00
10
11
01
10
11
10
10
00
01
10
01
00
10
10
11
00
01
01
10
10
00
01
11
01
00
10
11
10
10
00
10
11
00
00
00
10
00
11
10
11
10
00
01
10
11
00
11
11
10
01
00
11
00
01
00
11
11
00
00
10
11
00
10
10
10
10
11
10
00
10
10
10
01
10
11
00
01
00
00
10
00
00
10
10
11
10
00
11
10
01
00
11
00
00
10
00
01
10
01
00
10
10
10
10
10
00
00
11
01
00
10
11
00
01
00
10
10
10
00
01
11
00
10
00
10
01
00
00
10
10
10
01
00
10
01
10
11
01
11
00
00
10
01
11
01
00
11
00
11
00
01
10
10
11
00
00
01
01
11
10
10
00
10
11
01
00
11
00
11
10
01
00
00
00
11
00
00
10
10
11
00
00
10
10
00
00
00
10
10
00
11
00
00
00
10
11
01
01
10
00
00
11
00
01
10
10
11
01
01
10
00
00
00
01
00
11
10
10
10
01
10
00
11
10
00
00
10
10
01
00
11
10
10
01
11
10
10
10
00
11
00
01
10
11
01
00
00
11
10
00
00
10
10
01
00
10
00
10
10
00
10
00
11
01
10
11
10
00
10
10
00
01
11
00
00
00
10
00
10
10
11
10
01
11
11
10
00
00
00
11
10
00
11
10
01
11
00
01
10
01
00
01
10
11
00
00
00
10
00
00
00
01
00
00
10
10
10
00
10
10
00
00
10
01
00
11
00
00
10
10
01
00
01
11
01
10
00
00
11
00
00
11
11
00
01
01
11
10
00
10
11
10
00
00
10
00
10
10
00
00
10
00
00
00
00
10
00
01
00
10
00
11
00
00
10
10
01
10
10
10
10
11
00
11
01
00
11
11
10
00
10
01
00
11
10
10
01
01
11
10
10
00
11
11
01
00
11
01
00
00
11
10
00
01
11
11
10
01
00
10
00
00
10
10
01
00
00
11
01
01
10
00
00
00
11
00
10
10
00
01
00
00
00
01
10
00
10
00
01
10
00
01
01
10
00
11
10
10
00
00
10
11
11
01
00
11
01
01
00
10
10
10
00
00
01
10
01
11
00
11
10
01
00
10
10
11
10
01
01
10
00
00
00
00
00
11
11
00
01
00
10
00
11
11
01
00
11
00
01
11
10
00
00
01
10
10
01
10
10
10
00
00
10
10
00
00
10
10
10
00
00
11
00
00
10
10
00
00
11
10
00
10
10
00
00
10
00
01
10
11
01
00
00
10
10
01
10
11
00
11
10
00
10
00
00
10
01
00
10
00
00
11
01
11
00
10
11
00
00
00
11
10
11
01
11
11
00
00
00
00
11
01
01
10
10
01
10
01
01
11
10
00
00
01
10
10
10
01
00
10
10
11
00
10
01
10
10
10
00
00
10
11
10
01
00
00
00
00
01
10
10
00
00
11
00
01
00
01
10
10
00
01
00
11
00
00
10
00
00
11
10
01
11
01
01
01
10
10
01
01
01
10
00
00
11
10
11
10
01
00
00
10
10
00
10
00
01
01
00
10
10
00
10
01
01
10
10
01
01
11
10
01
10
10
10
01
01
00
11
11
11
01
00
11
00
00
10
00
01
10
10
00
00
01
11
11
00
00
10
00
01
11
11
01
00
10
10
10
00
00
10
11
00
01
00
10
00
00
01
00
10
10
10
00
00
11
10
00
10
00
00
10
10
00
01
00
00
11
10
00
10
10
10
00
01
00
01
00
00
00
10
11
00
10
10
10
10
00
10
11
10
01
10
10
00
00
00
00
11
10
01
00
10
00
00
10
00
00
11
00
00
11
10
11
10
10
01
10
00
00
10
10
00
00
11
10
01
00
01
00
00
10
11
10
10
10
01
01
11
01
01
00
00
00
10
01
10
11
00
00
10
11
01
01
00
10
10
00
10
00
00
10
11
10
11
10
00
11
10
01
00
11
11
11
00
00
00
00
00
00
11
10
00
00
01
10
11
10
00
00
10
00
00
11
11
10
11
10
01
00
11
01
01
00
11
01
00
10
10
11
00
00
10
10
00
00
11
00
00
01
10
11
10
10
11
00
10
10
00
01
10
10
00
11
10
00
01
11
10
10
00
10
00
00
10
00
10
01
10
01
01
10
10
10
00
01
00
01
10
00
10
10
10
00
00
10
11
10
00
10
00
01
00
10
10
11
01
10
10
11
01
10
11
11
10
11
11
01
00
11
11
00
00
10
11
00
11
10
01
00
10
10
10
01
00
11
11
10
10
00
01
01
01
00
10
01
00
10
10
10
00
00
11
10
00
00
00
10
00
11
00
11
01
01
11
00
10
10
10
11
11
00
01
01
01
10
11
01
00
00
10
10
00
00
10
11
00
10
10
00
00
10
11
10
01
00
01
00
00
10
00
10
01
00
11
10
00
11
10
00
11
10
00
00
10
00
10
10
01
10
10
10
11
11
10
00
00
01
00
01
10
01
01
11
11
00
10
11
00
01
00
10
00
11
00
10
00
00
10
11
00
00
10
10
00
11
00
11
00
01
10
00
01
00
11
11
10
11
10
00
00
00
10
00
10
10
01
10
10
01
10
00
10
01
01
10
10
10
01
00
01
00
11
10
00
11
10
10
10
00
01
10
10
10
00
01
00
10
01
00
10
10
11
10
01
00
11
10
01
01
11
10
00
00
10
00
01
01
00
10
00
10
10
00
11
01
00
10
10
00
10
00
10
00
00
10
00
01
10
00
11
01
11
01
10
10
00
10
00
01
11
11
00
11
00
10
00
00
10
00
00
10
10
11
00
00
01
11
00
11
00
01
00
10
00
10
10
10
00
00
01
10
11
10
01
10
00
10
11
10
00
10
00
00
10
11
01
00
00
11
10
00
00
10
11
11
01
00
10
00
10
01
10
11
10
00
01
00
01
01
11
10
00
00
01
00
11
10
00
10
10
00
00
10
11
10
00
01
10
11
00
11
10
00
01
10
10
00
00
10
11
01
01
10
11
11
00
00
00
00
10
10
10
11
10
00
00
01
00
11
10
00
10
11
00
00
01
10
10
00
11
10
10
11
00
01
00
01
01
00
01
11
11
10
10
00
01
10
10
01
11
01
00
01
00
01
00
10
10
00
00
10
10
11
00
01
11
10
00
00
00
10
00
00
10
01
00
01
10
10
10
01
00
00
11
10
10
00
10
10
10
01
10
00
01
00
00
00
00
11
01
00
11
11
00
10
00
10
01
00
10
10
00
10
00
11
10
00
10
00
00
00
10
00
10
10
10
00
00
01
00
11
10
00
10
00
01
10
01
10
01
00
11
10
11
10
01
00
10
11
11
10
01
00
11
01
10
00
00
10
00
10
10
00
00
01
00
10
00
10
00
11
00
01
11
00
11
00
00
10
10
10
10
10
00
10
00
00
11
01
11
10
00
00
10
00
01
01
10
01
00
10
10
11
10
10
01
10
11
00
01
00
10
10
10
10
00
10
10
00
00
10
01
10
00
01
00
10
10
10
01
11
01
00
01
10
11
00
11
01
11
11
01
11
10
10
00
01
10
11
00
01
10
00
01
11
10
00
00
10
00
10
00
11
10
01
01
10
10
10
01
10
11
00
00
01
00
10
00
10
11
01
10
10
11
10
00
11
00
00
00
01
10
01
10
11
01
00
11
01
00
10
10
01
00
01
10
11
11
10
11
00
10
10
00
00
01
00
11
00
10
10
10
01
00
11
11
00
00
00
01
10
11
11
00
10
10
10
10
10
00
01
11
10
00
11
10
01
11
10
11
10
00
10
10
10
00
00
10
11
11
01
00
01
00
00
10
10
01
00
01
11
00
01
10
10
10
00
10
11
00
10
10
11
00
00
11
10
01
11
00
00
10
10
10
01
00
10
10
00
10
11
00
01
10
10
11
00
10
01
00
11
01
10
00
10
11
01
01
10
01
10
10
00
00
00
11
01
00
00
10
11
11
01
01
10
10
01
10
11
10
00
10
11
00
10
10
00
01
00
11
00
10
11
10
11
00
10
10
11
00
11
10
10
10
00
11
00
11
10
11
01
00
11
10
00
00
00
10
10
10
00
00
11
00
00
01
11
10
00
00
00
00
11
00
10
00
00
01
01
11
10
10
10
11
11
01
00
10
10
00
00
10
11
01
01
10
10
01
10
10
00
11
10
11
00
00
10
00
00
10
00
00
10
00
11
10
10
11
01
01
00
11
00
10
00
00
00
10
00
00
10
10
00
11
10
10
01
10
01
00
00
11
10
10
00
10
11
00
10
01
10
01
10
10
00
00
01
01
10
00
00
11
11
01
00
11
10
10
00
10
00
10
00
01
11
10
11
10
10
00
11
11
00
00
00
11
10
01
00
01
10
00
11
01
10
01
11
10
00
00
00
11
10
10
11
10
00
00
10
00
01
10
10
00
01
01
11
00
10
00
01
00
11
10
00
00
10
11
00
00
10
11
00
10
10
10
00
11
00
00
01
10
10
00
10
11
00
11
00
00
11
00
01
00
10
11
10
01
01
01
11
10
11
10
00
00
00
11
11
00
00
00
11
10
00
00
01
01
10
11
00
10
00
11
01
11
00
00
10
10
11
00
00
11
10
00
10
10
10
10
01
00
10
10
10
00
00
10
00
00
10
00
11
01
11
01
00
00
01
01
00
10
11
00
00
11
10
00
00
00
10
00
01
11
01
01
00
01
00
00
11
11
00
01
00
11
10
00
00
10
11
00
01
10
01
11
00
00
10
11
00
10
10
10
00
01
00
11
01
00
00
11
01
00
00
11
10
01
01
11
10
10
00
00
10
10
11
00
00
00
01
10
10
01
10
00
11
11
00
11
00
10
10
10
01
00
11
10
01
10
10
11
00
11
00
10
10
10
00
00
00
01
01
01
10
00
00
10
10
11
00
10
00
01
10
10
10
10
11
00
01
00
10
10
00
01
11
10
00
10
10
00
10
00
01
10
00
01
00
00
10
00
01
11
10
01
00
01
00
10
10
10
01
00
10
10
00
01
10
10
10
11
01
10
11
00
01
10
00
10
11
00
00
10
00
01
01
11
11
11
11
01
00
01
10
11
01
10
11
00
10
10
00
00
00
00
10
01
11
00
00
00
11
00
00
10
10
00
01
00
11
01
10
00
11
11
01
11
00
01
10
11
10
00
01
11
10
00
11
10
00
11
00
01
00
10
10
00
00
00
11
10
01
01
10
10
10
10
01
10
01
10
01
01
01
10
00
10
10
00
10
11
10
10
01
00
00
01
11
00
01
10
10
11
00
00
11
10
00
11
11
01
01
11
00
00
11
11
00
01
10
10
01
00
11
11
10
00
10
00
10
11
00
11
10
00
01
00
00
10
10
01
01
11
11
10
00
00
01
00
10
10
01
10
01
11
00
11
11
10
10
00
00
01
10
10
00
00
00
10
10
00
10
11
00
10
00
10
10
11
00
01
00
00
10
10
00
00
00
10
00
01
00
00
10
11
00
10
00
00
00
10
01
01
10
10
10
01
01
10
00
01
00
10
10
00
11
01
01
10
10
00
10
00
01
00
11
11
00
01
10
01
01
01
10
10
00
00
01
00
01
10
00
00
00
10
01
10
10
01
10
00
10
00
00
11
00
01
11
10
01
10
01
10
00
01
10
10
00
10
10
01
10
10
11
00
00
11
01
00
01
10
10
01
11
10
01
11
00
01
11
00
00
11
10
00
10
11
00
00
00
10
01
00
11
11
11
00
10
01
01
01
00
10
10
10
10
00
01
10
11
00
00
00
00
11
10
11
01
10
10
00
01
01
10
10
00
00
10
10
10
00
00
01
11
11
01
00
10
00
00
01
01
11
11
00
01
10
10
10
11
00
00
00
10
11
10
00
00
00
10
11
10
11
00
11
10
00
10
00
00
11
00
11
00
10
10
11
11
00
01
10
00
10
11
00
10
01
00
00
11
10
00
10
10
00
10
10
01
10
10
10
11
01
01
10
10
11
11
00
00
00
00
00
00
10
10
11
11
10
10
10
10
00
10
01
01
01
10
01
01
10
10
11
00
00
00
10
10
10
01
00
01
01
11
00
01
10
10
00
00
01
11
10
00
01
00
00
11
00
00
00
10
11
10
10
00
10
00
00
00
10
00
10
10
00
10
10
11
10
00
10
01
00
01
11
01
00
00
00
10
00
00
00
11
01
00
00
00
11
11
11
00
10
10
00
11
00
11
10
00
11
11
00
01
11
01
01
01
01
10
00
10
10
00
10
10
11
00
11
01
10
10
00
11
10
01
10
00
11
00
00
10
00
01
01
01
11
11
10
00
01
01
00
10
00
10
11
00
10
01
00
00
10
11
01
01
10
10
01
01
11
00
11
11
10
11
10
10
00
00
10
10
00
00
10
10
01
10
10
00
01
00
10
10
00
01
10
00
01
01
10
11
11
00
00
10
10
10
00
01
10
01
01
00
00
11
11
10
10
00
10
10
10
00
11
01
01
10
01
10
01
11
11
10
00
11
10
01
00
10
11
00
00
11
01
00
01
10
10
11
01
00
00
10
11
10
00
00
01
00
10
10
00
00
11
01
00
00
10
00
01
00
10
10
10
10
10
00
10
10
00
01
10
10
10
10
00
11
01
10
01
00
00
10
11
01
00
01
10
10
11
10
00
00
00
10
00
00
00
10
10
10
10
01
11
10
10
00
00
00
10
01
10
11
00
10
00
00
00
00
11
10
00
01
11
01
10
00
10
10
00
00
10
10
11
10
01
10
10
00
00
10
10
00
00
00
00
00
11
00
10
00
11
00
11
00
00
00
01
11
10
11
00
00
00
01
11
10
11
00
10
11
11
10
10
11
01
00
10
00
00
11
10
00
10
10
01
10
00
00
00
00
11
00
10
11
10
11
10
01
00
00
00
10
10
00
11
10
01
10
10
00
00
00
11
00
11
10
00
10
10
00
10
10
10
10
00
10
00
11
00
00
11
00
01
10
11
10
10
11
11
00
01
00
00
01
10
10
01
00
10
01
00
00
11
11
00
00
00
10
01
01
01
10
10
00
10
11
01
01
11
00
10
10
00
10
00
00
10
11
00
10
11
00
00
10
11
10
00
11
00
00
11
01
01
00
10
11
11
10
00
10
11
10
10
01
00
00
10
11
01
11
10
01
00
00
00
11
10
01
00
10
00
10
00
00
00
10
10
11
10
11
10
01
10
00
10
10
10
00
10
01
11
10
00
10
10
10
11
10
01
00
00
10
10
01
00
01
10
10
11
00
11
00
00
10
00
10
00
11
00
00
11
11
01
10
01
00
10
01
00
11
10
01
10
00
00
00
11
10
01
00
00
10
11
00
10
10
00
01
00
01
10
10
00
11
01
01
10
01
00
10
00
01
00
10
10
10
00
10
10
10
10
10
10
01
11
01
01
00
01
10
11
00
01
00
10
10
00
11
10
01
10
01
00
00
00
01
11
10
01
00
11
11
00
00
11
00
00
00
00
10
10
00
11
00
00
10
01
01
00
00
10
01
00
00
00
11
00
00
00
11
01
01
10
11
00
10
00
00
01
00
10
01
10
11
00
00
00
10
01
10
00
01
10
10
00
01
10
01
10
00
11
10
01
00
00
10
10
00
10
11
00
11
10
10
00
11
10
11
11
01
10
00
00
10
10
01
10
10
10
01
00
00
11
10
10
00
01
11
10
00
11
10
00
10
00
00
10
10
10
00
00
01
01
01
11
11
00
11
00
10
11
01
10
11
00
00
10
01
10
10
11
00
00
10
10
10
11
10
11
00
00
11
00
10
01
00
10
00
10
10
11
01
01
10
10
00
10
00
10
00
00
10
10
10
00
01
00
11
10
00
00
00
00
01
10
11
10
00
00
11
01
01
10
01
10
10
11
10
00
00
00
11
10
01
00
00
10
00
10
01
00
01
00
00
01
10
10
10
10
00
00
10
11
11
11
01
10
10
10
00
01
00
00
10
00
00
10
00
11
10
00
10
11
00
11
10
00
01
11
00
01
11
10
00
10
11
00
01
10
10
10
00
01
10
10
00
00
00
00
10
01
01
10
10
11
01
10
11
00
00
01
11
10
10
01
01
00
10
10
11
11
00
10
01
00
00
10
10
00
00
10
01
00
10
10
00
10
01
11
10
00
10
00
11
00
01
10
10
00
10
10
01
00
11
10
00
01
00
10
00
10
00
10
11
10
10
10
10
10
01
00
10
01
11
11
00
00
10
00
11
10
00
11
00
00
00
00
10
11
10
11
10
11
00
01
10
11
10
01
00
00
10
10
01
00
01
01
10
00
10
11
00
00
11
11
11
00
00
11
10
10
10
00
00
00
00
00
10
00
00
11
00
10
00
10
01
00
10
00
11
01
00
11
10
10
00
00
00
10
10
10
01
01
00
10
00
01
11
10
01
11
11
00
01
10
11
10
00
11
11
00
00
11
11
10
01
01
11
10
11
10
10
10
00
10
10
11
00
01
00
00
10
00
11
00
00
10
00
00
11
11
01
01
01
00
00
01
00
00
11
10
01
00
10
10
10
00
11
10
00
00
11
00
10
00
00
10
11
01
01
00
01
00
10
00
10
00
01
11
00
00
10
00
01
10
00
00
00
10
10
11
10
00
00
10
10
01
01
10
11
10
10
11
01
00
10
10
10
00
00
01
11
10
10
10
01
10
10
00
11
10
01
11
01
10
11
11
10
10
00
00
00
10
10
11
00
00
10
11
01
01
01
10
00
00
10
01
00
11
10
10
01
11
10
01
10
11
11
00
01
10
00
00
11
01
01
10
10
00
00
00
10
10
00
00
00
00
10
10
00
01
10
11
00
00
00
00
10
10
01
10
01
00
11
11
10
10
00
01
10
11
01
00
10
11
00
00
00
00
10
00
00
10
01
11
01
01
00
10
00
10
11
00
00
11
10
01
10
10
00
00
00
10
10
01
11
00
10
01
10
10
00
00
10
01
01
11
00
01
11
11
00
10
00
00
10
10
10
01
01
00
01
00
01
00
11
11
01
01
11
00
11
10
00
00
01
10
10
01
00
00
10
00
01
10
11
00
10
10
11
01
10
10
00
00
11
01
01
10
10
01
00
01
11
10
00
10
00
00
10
10
00
01
00
00
10
00
00
01
10
11
10
00
10
01
00
01
10
11
10
11
00
00
01
10
11
10
00
00
10
10
01
11
11
10
11
10
00
00
00
01
00
00
01
11
00
10
10
00
01
01
11
10
01
01
10
11
00
11
01
11
11
00
10
10
00
00
00
10
10
00
00
00
10
00
10
01
10
00
11
11
00
10
00
10
10
10
00
00
10
10
00
11
00
10
10
00
10
00
11
10
10
10
00
01
00
10
10
11
10
10
00
11
01
11
00
11
10
11
01
00
10
11
11
10
00
01
00
10
10
00
00
10
11
10
01
00
11
00
00
00
10
10
11
00
01
11
10
01
01
10
10
10
11
01
00
10
11
11
00
10
11
00
10
00
01
01
11
10
00
10
01
00
10
10
10
11
00
00
10
00
00
01
10
10
11
00
01
00
00
00
00
10
00
10
10
00
01
10
00
01
11
01
11
10
01
10
11
01
00
10
11
00
01
10
10
10
00
11
11
10
00
01
10
11
10
00
01
10
10
10
00
00
10
11
10
10
00
10
00
01
00
00
10
00
10
11
01
01
10
10
00
00
11
10
01
00
10
00
10
10
10
00
00
10
10
10
10
10
01
00
10
10
10
00
10
00
11
00
00
00
10
10
00
10
10
11
00
10
10
10
00
00
00
01
10
11
01
10
01
10
11
10
00
00
00
00
10
10
01
00
10
11
00
10
10
10
00
10
00
00
11
00
11
10
00
11
10
00
10
10
00
10
01
01
11
10
10
11
10
10
01
00
11
10
11
00
11
01
00
01
10
10
11
00
10
00
10
11
10
01
00
00
10
11
00
11
10
00
01
00
00
10
10
11
00
01
11
10
01
10
10
01
00
10
01
10
01
00
10
11
10
10
10
00
00
10
11
10
10
01
01
01
00
11
11
00
01
10
11
00
10
10
10
01
00
00
11
10
00
01
00
01
00
11
00
10
11
01
10
01
00
10
10
11
00
10
10
00
01
11
00
00
01
10
00
10
11
00
00
01
00
10
00
01
11
10
00
10
11
01
00
10
00
01
01
00
11
10
00
01
10
10
01
10
11
00
00
11
11
00
00
11
10
11
00
00
10
00
00
00
00
10
11
10
01
00
00
01
10
10
00
00
11
10
11
11
00
00
01
11
01
00
11
10
00
01
00
00
00
11
10
00
00
11
00
00
00
10
10
00
01
01
01
00
10
00
11
11
00
11
10
01
10
10
00
11
10
00
10
00
10
10
10
00
00
11
00
00
00
10
01
00
10
10
00
01
00
10
00
10
10
00
01
10
11
00
01
11
10
01
10
01
01
11
11
00
10
00
10
10
01
10
11
00
00
00
01
00
10
10
00
01
10
10
01
00
11
00
00
00
10
00
10
10
11
10
00
00
00
00
00
00
00
10
10
10
00
10
10
00
01
10
01
00
11
00
00
00
00
00
01
10
10
10
11
10
10
00
00
00
10
10
10
11
10
01
10
01
01
10
00
10
10
01
10
11
10
01
00
01
01
10
00
00
11
00
11
11
00
11
10
01
10
10
00
10
00
00
10
10
11
10
10
11
10
11
10
00
10
00
00
10
10
01
10
00
01
10
00
11
10
01
10
10
10
01
10
10
01
10
00
11
10
00
11
10
01
00
00
10
11
00
11
00
10
00
00
00
10
11
00
01
11
10
01
00
00
00
10
10
01
00
10
00
11
00
10
10
10
00
00
00
00
10
01
00
01
11
10
10
00
01
01
10
00
01
10
11
10
10
11
10
10
00
10
01
00
00
00
11
11
10
10
10
10
00
01
10
00
10
00
01
10
11
10
11
00
00
10
10
01
10
00
00
10
10
01
11
10
01
11
11
00
00
00
10
10
00
00
01
10
00
01
10
00
00
00
00
10
10
01
00
10
00
10
00
00
01
10
00
00
10
10
00
00
11
01
11
00
01
00
00
10
01
00
10
11
10
10
10
00
01
00
11
10
01
10
00
10
00
11
11
00
00
00
10
11
10
01
00
10
01
11
11
11
10
11
11
00
00
11
11
00
00
11
10
11
00
00
00
10
11
00
10
10
00
00
01
10
00
10
10
00
01
11
11
01
10
00
00
00
11
00
00
11
00
01
00
00
11
10
10
00
00
11
10
00
00
00
01
10
10
11
00
00
11
10
11
01
00
10
10
10
00
11
00
11
01
10
10
10
10
11
00
01
00
01
00
10
11
01
01
11
11
01
00
00
11
10
10
10
00
00
10
00
11
11
10
00
00
00
11
10
00
11
01
00
01
10
11
00
00
00
00
00
10
00
00
10
00
10
10
11
11
01
10
10
01
10
01
01
00
00
00
01
00
01
10
10
00
00
11
10
10
10
00
00
00
11
00
10
00
11
10
01
00
11
00
00
01
00
01
01
11
10
00
00
11
10
00
10
11
10
11
01
01
11
00
10
00
01
10
10
11
01
00
11
00
01
10
01
01
11
11
11
10
00
10
00
10
10
00
00
11
11
00
10
00
11
10
01
01
10
10
00
11
11
01
10
01
01
10
01
11
00
11
00
00
10
10
01
00
11
10
10
00
11
10
01
10
01
10
01
00
10
01
01
11
10
01
00
10
10
00
11
10
00
01
10
01
10
01
00
00
00
01
00
10
00
10
01
10
10
00
11
00
00
10
00
11
10
00
00
10
10
10
00
10
10
00
10
00
10
11
11
00
01
00
00
11
00
11
00
01
10
00
10
01
10
10
10
00
00
10
01
11
10
10
00
10
10
10
10
10
01
10
01
00
00
00
10
10
00
10
10
01
00
10
01
00
11
10
10
00
00
10
10
11
01
10
00
10
00
11
10
00
11
10
01
01
00
00
01
10
01
10
10
11
10
00
10
10
00
00
10
11
00
11
10
10
10
10
00
01
10
10
00
00
00
10
10
00
10
00
01
10
11
10
10
01
10
11
00
00
10
00
11
01
00
11
00
01
00
01
00
11
10
10
11
01
10
01
10
10
10
11
01
10
11
00
01
01
01
11
10
01
01
01
00
00
10
11
10
10
00
01
01
10
00
00
10
01
10
10
01
10
00
10
01
00
10
10
11
00
01
00
00
00
01
11
11
00
01
00
00
10
11
10
01
01
00
00
00
00
11
00
10
00
00
10
00
00
10
00
11
01
01
01
10
11
10
00
00
00
10
10
10
00
10
11
11
10
10
10
11
00
00
00
10
00
01
00
10
10
00
00
00
11
10
00
10
00
00
00
00
10
10
11
11
10
01
10
00
00
00
10
10
01
01
11
10
01
10
01
00
10
10
00
00
10
00
01
00
00
00
01
10
00
11
10
10
00
11
00
10
10
11
10
11
00
01
00
11
01
01
01
10
00
01
10
10
00
01
10
01
00
10
00
11
01
10
01
00
01
10
00
00
10
10
00
00
11
00
00
10
10
00
10
00
11
00
10
00
10
01
00
00
10
11
10
00
01
00
00
10
10
00
01
00
01
11
00
00
01
00
11
10
11
11
10
10
00
10
10
10
00
01
00
10
10
10
01
10
01
00
00
00
00
10
11
00
11
00
10
01
10
10
01
10
10
01
01
10
00
10
10
10
00
00
10
10
11
00
11
11
00
01
00
11
00
11
11
11
00
00
10
01
00
10
00
01
01
11
10
10
00
10
10
10
01
00
11
00
00
00
10
01
10
01
10
00
11
10
01
01
10
11
10
11
00
00
11
10
11
01
11
10
00
10
00
11
10
01
00
10
00
00
10
11
00
10
10
10
11
10
01
00
01
10
11
10
11
10
00
11
10
10
01
11
11
10
00
10
00
11
10
10
00
00
10
00
00
00
00
10
01
01
11
10
00
01
11
00
10
10
00
00
11
10
10
01
11
01
01
10
01
10
10
10
11
01
10
00
00
11
10
10
00
00
01
01
11
00
10
01
10
00
00
10
01
00
00
11
11
10
01
10
11
00
01
10
00
00
11
10
00
01
10
00
01
11
11
00
00
00
00
00
00
11
10
11
01
00
11
10
00
00
00
10
11
00
00
10
10
10
10
10
11
00
00
10
10
10
11
00
10
10
00
10
11
00
00
01
10
10
01
01
00
11
11
01
10
00
01
00
00
10
00
00
11
10
11
10
00
10
00
10
10
11
10
10
00
10
10
00
01
00
10
10
00
10
01
10
10
00
11
10
10
00
01
10
01
00
10
11
10
00
11
01
10
01
10
00
00
01
11
10
00
01
10
11
10
11
01
11
10
00
00
11
00
10
00
00
11
11
10
11
11
01
11
10
00
00
10
10
00
01
00
10
10
10
10
01
10
10
00
11
01
00
00
11
00
01
01
01
01
00
10
00
10
10
10
11
01
11
11
10
10
10
10
11
00
00
10
10
11
01
00
11
10
00
01
00
11
01
11
00
01
10
00
01
10
00
00
00
11
00
00
11
11
11
00
00
10
10
11
00
00
10
00
01
10
01
00
11
10
10
10
01
10
10
10
00
01
11
10
00
00
00
10
10
00
11
10
00
10
11
10
00
00
10
10
01
10
00
00
00
00
10
01
10
10
00
00
00
11
10
00
00
00
00
10
01
10
00
00
00
01
11
10
00
10
11
11
11
10
10
00
10
00
00
10
01
00
10
00
00
10
11
11
10
01
00
11
10
00
01
10
01
00
10
10
10
10
00
10
10
00
10
10
00
00
01
00
10
10
11
01
11
10
01
01
11
11
00
10
11
01
10
10
00
00
00
11
10
00
00
01
00
00
11
00
00
10
11
10
10
01
10
01
10
10
01
11
11
10
01
00
00
00
10
00
10
10
01
00
11
00
10
00
10
10
00
10
11
00
11
00
10
00
10
10
01
00
10
11
00
11
10
11
00
10
01
10
00
10
10
01
00
10
00
10
10
11
11
01
00
01
01
00
11
11
10
00
01
10
11
11
00
00
11
01
00
00
10
10
11
11
10
10
11
00
10
11
10
00
10
11
00
10
10
11
10
10
00
10
11
00
01
10
00
01
01
10
00
00
10
10
01
11
10
01
00
11
10
11
00
00
10
00
00
00
00
10
01
01
10
01
10
10
01
11
01
11
10
01
10
10
11
10
01
11
10
00
01
10
10
00
00
10
11
11
10
11
00
00
00
00
10
01
01
11
01
10
10
00
10
10
10
01
10
10
11
00
11
00
00
01
01
10
10
00
00
00
00
10
10
00
11
11
10
11
01
10
11
10
01
00
01
11
10
11
00
10
01
00
10
10
10
01
10
00
00
10
01
00
10
00
00
10
01
11
10
00
10
00
11
00
10
10
00
00
00
00
00
11
11
00
10
00
00
10
10
10
01
00
10
00
10
01
00
01
10
01
00
00
10
10
10
10
00
00
00
00
00
10
01
11
00
01
00
11
00
10
10
00
00
10
11
00
00
11
11
00
01
11
10
00
00
10
00
01
00
10
11
00
11
11
10
00
00
10
10
10
00
00
01
10
01
01
00
10
11
10
10
10
00
00
10
00
11
11
00
01
00
01
00
10
00
00
10
11
10
01
10
00
10
10
00
00
10
01
10
11
10
11
10
11
10
00
10
11
10
00
00
10
10
10
10
00
00
00
00
10
00
10
11
01
10
00
10
00
00
00
11
10
01
00
11
01
00
00
10
10
00
00
10
00
00
11
00
00
10
11
00
00
00
00
00
01
10
10
11
00
00
10
11
11
10
10
00
10
10
11
00
10
00
10
10
01
11
10
11
01
00
01
10
11
11
01
01
01
10
00
10
10
10
01
10
10
00
10
00
00
00
11
11
00
10
10
10
00
10
11
00
00
00
10
00
11
11
01
10
11
00
10
11
01
00
10
00
10
11
00
10
01
11
00
01
11
11
11
10
11
00
11
10
11
10
00
00
01
01
10
10
00
11
01
00
01
11
00
10
10
00
11
11
00
01
10
01
10
10
00
00
00
11
01
00
11
11
10
00
00
10
10
01
00
10
10
11
10
00
01
00
10
11
10
01
11
01
00
00
11
00
01
11
10
01
00
10
10
10
10
00
01
00
00
10
01
10
10
00
00
11
00
10
00
10
00
10
11
11
11
10
10
00
11
10
10
01
01
11
10
01
01
01
01
01
00
11
01
01
10
00
00
11
00
10
11
00
00
01
10
00
11
00
10
10
11
01
01
11
00
10
00
01
00
10
00
10
11
01
00
11
10
10
10
10
10
00
00
10
10
00
00
00
10
10
11
00
10
11
11
11
01
01
10
00
01
10
11
01
10
11
00
10
01
10
00
11
10
01
00
01
10
00
00
10
00
10
01
01
10
01
01
01
00
11
11
10
01
00
10
10
00
00
11
01
00
10
00
10
01
10
11
00
00
11
00
01
00
01
10
10
00
10
01
00
00
10
11
11
00
10
11
01
10
11
01
01
00
11
01
00
00
10
10
11
01
10
01
00
10
00
00
00
00
10
11
11
10
00
10
10
00
11
11
10
00
00
10
10
00
00
00
00
11
01
11
01
10
11
10
00
00
11
01
01
10
11
00
10
11
00
10
11
10
00
10
11
01
10
00
00
01
01
01
11
10
10
00
10
00
00
11
10
10
00
00
10
00
00
01
00
00
00
10
11
00
00
10
00
10
00
10
01
01
10
00
10
01
11
01
00
10
11
01
10
01
00
10
10
00
10
00
10
10
01
11
00
11
01
10
10
00
00
10
11
00
11
10
10
10
10
11
01
00
10
10
00
10
10
10
01
00
10
10
00
10
10
10
10
00
00
10
00
00
00
00
11
10
10
10
00
10
11
11
10
00
00
10
10
11
00
10
00
00
10
00
10
11
01
00
00
10
10
01
10
10
00
00
11
10
01
01
10
10
11
10
11
00
00
10
10
10
00
00
10
00
10
11
10
11
00
01
00
01
00
10
10
11
00
01
10
10
11
11
00
00
01
10
10
10
01
01
00
01
10
00
11
11
00
10
10
01
00
11
11
00
00
01
00
11
00
00
10
11
01
10
01
00
00
10
00
00
00
10
00
00
10
10
01
00
11
10
00
01
10
01
10
00
01
10
10
11
00
01
01
00
10
00
01
11
11
10
11
00
00
11
10
00
10
00
01
11
01
00
00
10
11
00
00
00
10
01
01
11
00
11
11
10
00
11
10
00
01
10
00
00
10
10
11
01
10
10
10
00
10
11
00
00
00
00
11
00
11
11
10
01
00
10
10
01
00
10
10
00
00
10
10
11
10
01
00
00
11
10
11
01
10
10
00
10
10
11
01
01
10
11
10
10
00
00
10
11
10
10
00
01
10
00
01
00
10
00
01
10
10
10
00
01
00
11
10
00
10
01
11
11
00
00
10
10
01
10
10
00
00
00
11
10
11
00
00
00
00
10
10
00
00
00
10
10
10
10
11
00
11
01
11
11
00
01
11
00
10
11
10
01
00
01
10
10
01
10
10
00
01
10
01
00
10
10
11
00
01
10
01
00
10
01
11
00
00
01
11
00
10
10
10
10
00
00
01
11
11
11
10
11
10
01
00
10
11
00
11
11
00
00
00
10
10
01
00
11
10
10
00
10
00
10
00
10
00
01
10
10
11
00
11
00
01
00
00
00
00
10
11
00
00
10
00
11
01
01
11
11
11
00
10
01
00
10
11
01
00
00
00
00
01
10
10
11
00
01
00
10
10
11
00
10
10
00
10
00
10
00
01
10
10
00
00
10
10
00
00
00
11
11
10
00
10
00
10
00
01
10
01
10
11
01
00
00
00
00
00
10
00
11
10
00
00
10
10
10
11
00
01
00
11
00
00
01
10
10
01
00
10
00
01
11
11
01
10
00
10
11
00
00
10
10
10
00
00
00
11
00
00
00
10
10
10
01
00
10
10
10
10
01
11
10
10
01
00
10
10
01
10
00
01
10
11
01
00
00
01
10
11
00
10
10
00
10
01
11
11
11
00
10
11
10
10
01
01
11
01
00
00
10
00
00
10
10
00
10
10
00
10
10
01
01
11
10
10
01
00
00
11
00
10
11
10
11
10
01
10
00
00
01
01
11
01
00
00
10
10
11
00
00
11
10
00
10
11
00
00
10
10
00
10
00
00
00
10
01
10
01
10
10
10
00
10
10
10
00
10
01
01
10
00
00
00
00
11
11
01
10
11
00
10
01
00
10
11
00
01
10
11
11
01
01
10
00
01
10
01
11
10
10
00
01
10
01
00
10
10
01
01
00
10
10
10
01
01
10
10
10
00
00
01
10
00
11
00
01
10
10
00
10
10
00
00
11
11
00
01
10
10
10
00
00
11
11
00
11
10
10
01
10
00
00
00
10
10
10
10
00
00
00
11
11
00
00
11
11
00
10
10
01
00
00
10
00
01
01
00
10
00
10
00
00
10
10
10
00
00
01
00
11
00
00
01
00
01
01
00
00
11
11
10
00
00
10
01
10
10
00
00
11
00
00
10
10
10
10
00
00
10
10
00
10
00
10
00
00
01
11
10
10
10
00
01
10
00
11
00
00
10
10
10
00
00
10
10
00
11
10
01
10
10
10
10
10
01
10
11
10
01
00
11
10
11
10
01
00
01
00
11
00
11
10
00
11
11
00
11
10
00
01
10
10
01
00
10
01
00
11
00
11
10
00
10
01
00
11
00
01
10
01
11
01
00
10
10
00
10
10
00
01
10
11
11
00
00
00
01
10
00
01
00
00
10
10
10
00
10
11
01
11
11
00
01
00
00
10
01
10
11
00
00
10
10
01
00
00
10
00
00
11
11
10
00
00
11
10
11
10
00
00
10
01
10
11
11
10
00
11
10
00
10
00
00
10
11
00
00
01
00
00
10
01
00
10
00
00
10
10
00
10
11
10
10
10
10
11
00
10
00
10
10
01
11
00
11
00
01
11
00
01
01
10
10
01
10
00
11
10
00
01
11
11
10
00
10
10
00
00
10
10
00
11
01
00
01
00
10
01
01
10
00
10
01
01
01
10
11
00
00
00
00
00
00
11
10
00
00
00
00
10
10
11
00
10
10
10
01
10
10
10
00
00
10
01
00
11
11
01
00
01
11
10
10
10
00
01
01
01
00
10
10
10
01
11
00
01
00
00
00
00
10
00
00
00
10
01
00
11
10
00
00
10
00
10
10
00
00
10
00
10
11
10
10
10
10
01
00
00
00
00
01
10
10
01
10
10
00
10
01
00
01
11
01
11
10
00
00
10
10
00
01
11
10
01
11
11
11
10
10
10
01
01
10
11
01
11
10
00
00
11
00
00
00
00
11
10
11
11
01
10
10
10
11
10
00
11
00
00
00
00
10
00
00
11
10
00
01
11
11
10
10
00
01
00
00
11
11
00
00
10
11
11
10
00
00
00
00
10
10
10
00
11
11
10
10
00
00
10
01
10
10
01
10
10
10
01
10
00
00
10
01
01
10
00
01
10
00
11
01
01
11
11
10
10
11
01
10
10
00
11
01
01
10
10
10
00
10
01
00
10
10
00
10
11
11
10
11
00
11
10
00
00
00
11
00
10
11
01
00
11
11
00
00
10
10
10
11
00
11
11
11
10
11
01
00
01
01
11
10
00
00
00
01
10
10
01
00
01
01
01
11
00
10
10
01
00
10
11
00
01
01
11
10
00
10
00
10
00
01
00
01
10
10
10
10
00
11
00
00
00
10
10
10
00
11
10
01
01
00
10
10
00
00
00
10
00
00
10
00
10
10
01
10
00
10
10
00
00
00
00
11
00
10
00
00
11
11
10
00
11
10
00
00
00
00
01
00
10
10
10
10
00
11
10
00
00
10
00
10
10
01
10
10
00
10
00
10
10
00
10
11
10
10
11
10
00
00
01
10
11
11
11
01
00
10
10
11
00
00
00
10
11
11
10
01
10
10
01
11
00
10
00
10
10
00
10
01
10
00
10
10
10
10
10
00
00
10
11
11
00
11
00
10
00
00
11
00
01
11
00
10
00
00
00
10
11
11
11
00
10
11
10
10
00
11
01
01
10
10
00
11
00
00
10
00
10
00
00
01
11
00
11
00
10
00
10
11
01
10
00
10
01
00
00
00
00
10
10
10
10
01
01
01
00
10
10
11
11
10
01
00
00
11
11
00
10
01
00
01
01
00
10
00
11
10
00
00
01
11
00
00
10
10
11
00
00
11
01
00
10
01
00
10
10
00
01
10
10
11
00
10
10
00
00
11
11
11
10
10
11
01
00
10
00
00
11
10
11
00
00
10
01
10
00
00
10
10
11
10
00
01
00
10
11
10
01
00
01
10
10
11
00
00
01
01
11
01
10
11
10
00
00
10
10
00
01
10
00
00
11
01
11
00
00
10
00
10
11
00
00
10
11
10
10
01
10
10
10
10
10
00
10
00
11
00
01
11
00
00
10
10
00
00
10
00
10
00
01
10
10
10
01
11
00
10
00
10
10
00
00
01
10
11
11
00
00
10
10
10
10
10
10
10
00
10
10
01
10
00
00
11
10
00
11
11
00
10
11
01
10
11
01
01
10
00
00
11
10
01
10
10
01
01
00
01
11
10
10
10
00
00
11
11
11
00
10
10
01
00
10
10
00
00
10
11
00
00
10
00
11
00
00
00
10
11
10
00
01
10
10
00
10
11
01
11
10
00
01
10
10
00
00
00
11
11
10
00
10
11
01
00
11
10
00
00
01
00
01
00
10
10
01
10
11
00
00
00
00
10
10
00
01
10
10
01
00
11
00
00
10
00
01
00
00
10
00
10
11
00
10
01
11
11
00
11
01
10
00
00
10
10
00
10
10
10
00
00
10
01
10
10
00
10
10
10
10
00
11
10
11
00
00
00
01
11
10
11
01
10
00
00
10
00
10
01
10
11
00
00
00
11
10
01
01
11
11
00
01
11
11
01
00
10
10
00
00
00
11
10
00
10
00
00
00
10
10
00
10
11
11
00
01
00
00
10
10
01
01
10
11
11
00
00
00
10
10
00
01
00
01
00
10
00
00
01
10
00
00
11
10
00
10
11
00
00
11
10
10
10
00
00
10
00
10
00
00
10
00
00
11
11
00
11
10
00
10
10
10
11
01
00
01
10
01
10
10
01
00
10
11
00
10
00
10
11
00
11
11
11
00
01
10
10
10
10
10
10
00
00
10
01
00
00
01
11
00
01
11
10
00
00
10
11
01
01
00
11
11
10
11
10
00
00
10
10
00
00
10
10
01
10
11
10
00
00
10
00
00
10
10
00
10
11
00
00
00
11
10
00
00
00
10
10
00
00
00
00
11
10
11
10
10
10
11
00
00
01
11
01
11
01
10
01
11
01
00
11
00
00
11
11
00
10
10
00
01
11
11
01
00
01
00
10
00
00
11
11
10
01
01
11
11
00
01
11
00
00
00
10
10
00
10
01
00
11
00
00
11
11
10
11
01
01
01
00
11
00
00
10
01
10
10
00
01
10
01
01
11
00
01
10
00
10
10
00
00
10
10
00
10
10
00
00
10
11
01
10
10
10
11
10
00
01
00
10
10
10
00
00
01
10
00
00
11
00
00
00
00
00
10
10
10
00
01
01
10
01
00
10
11
00
10
11
11
00
01
10
11
01
00
11
00
11
11
10
01
01
10
11
11
01
00
00
10
00
11
11
01
01
00
10
00
00
01
10
00
11
10
00
00
10
11
10
01
00
00
10
10
11
00
00
11
00
10
10
11
10
00
01
11
11
00
00
11
01
01
01
10
10
10
11
10
01
11
10
00
00
10
00
10
01
00
01
11
01
10
00
01
10
10
10
10
00
10
00
00
10
10
00
11
10
11
10
11
11
10
01
00
01
00
00
10
11
11
00
01
11
01
01
11
10
10
00
00
10
10
01
00
01
11
11
00
00
00
11
10
10
11
00
00
00
01
10
11
01
01
00
01
00
10
10
10
11
00
00
00
10
10
00
11
10
10
10
11
00
11
10
10
00
10
11
10
11
00
11
00
10
11
10
11
00
01
00
10
00
10
11
00
00
11
10
10
11
00
10
00
01
00
01
11
00
00
01
10
01
00
11
01
00
11
00
00
11
00
10
10
00
01
00
11
00
00
00
00
00
10
00
01
01
01
00
10
10
11
10
10
00
00
00
01
01
11
10
11
11
01
00
10
10
00
10
10
11
01
01
00
10
01
10
00
10
00
10
00
01
10
01
00
11
00
01
00
00
00
11
00
00
10
10
01
00
00
11
00
00
10
11
10
01
10
10
10
00
01
10
10
00
10
10
10
00
01
11
00
10
00
00
00
11
11
11
00
10
10
00
01
00
11
11
00
01
11
10
00
01
01
10
10
00
00
10
10
00
00
00
11
00
11
11
10
00
11
11
10
01
00
10
10
11
00
00
00
00
10
00
11
10
01
11
00
00
00
11
11
01
00
00
11
00
10
10
10
01
10
11
01
11
10
00
10
10
10
00
00
10
00
10
00
01
00
00
10
10
10
01
10
10
10
00
00
11
01
01
10
11
00
00
00
10
11
00
00
11
00
00
00
00
11
00
10
11
00
00
00
01
10
00
00
00
00
10
01
10
11
00
00
00
10
00
00
00
01
10
11
00
11
00
01
00
00
00
10
11
01
00
11
10
00
00
10
10
11
11
01
11
10
10
00
11
01
11
10
01
10
00
10
10
10
00
11
10
11
00
10
01
01
01
10
00
00
01
10
11
10
01
10
01
00
00
10
00
10
11
00
10
00
00
10
00
10
00
00
10
00
10
11
10
10
10
00
10
11
11
00
11
10
10
00
00
11
00
11
10
00
10
10
10
10
10
00
10
01
01
10
00
11
10
01
00
11
11
01
00
11
00
10
11
00
11
01
01
10
11
00
00
00
10
00
00
00
00
00
00
11
10
00
10
00
00
00
10
10
00
11
10
00
00
11
00
10
10
00
10
11
10
01
00
11
01
10
00
10
00
01
01
10
11
00
11
11
00
00
11
11
00
00
10
10
00
10
10
11
10
01
00
00
01
01
00
01
11
10
00
01
00
11
01
00
11
00
00
00
10
10
00
00
10
11
00
11
00
01
01
10
00
00
11
10
00
01
00
00
10
00
10
01
10
11
00
01
11
10
10
00
11
10
11
10
00
01
11
11
10
00
00
10
01
00
01
11
01
10
01
10
10
00
01
01
10
10
01
01
10
00
01
10
10
00
01
10
01
00
10
10
00
00
11
10
10
00
01
10
01
11
10
00
10
10
00
00
10
00
11
00
01
10
00
00
00
11
11
10
01
10
00
10
10
10
10
10
00
01
10
00
10
01
00
00
00
00
10
11
10
10
00
00
10
00
11
10
00
00
10
10
01
11
00
00
00
00
00
10
11
00
01
00
11
00
10
10
10
11
00
11
10
01
00
11
00
00
01
11
00
10
00
01
00
11
00
11
10
00
10
01
10
01
10
10
01
00
00
10
00
01
11
11
11
10
00
11
00
00
10
10
00
01
00
11
11
11
01
00
00
01
10
10
00
00
10
11
00
10
10
01
10
11
10
00
01
00
01
00
11
11
10
11
00
11
10
10
00
11
10
01
00
10
10
00
01
00
10
10
00
10
11
01
10
11
10
10
00
00
01
10
00
00
01
10
00
01
10
10
10
10
01
01
01
10
10
10
00
00
01
11
10
10
11
00
00
00
10
00
10
11
11
00
00
01
11
10
01
00
00
10
10
11
01
01
01
11
10
01
00
10
00
01
11
10
00
11
10
00
10
10
10
01
01
01
01
10
00
10
11
00
10
10
00
00
10
00
01
10
11
00
11
10
10
01
00
10
10
00
00
00
00
00
00
00
10
00
10
00
00
11
10
11
10
00
00
10
10
10
11
00
10
11
00
11
11
00
01
00
10
00
11
11
00
10
10
10
01
01
10
00
00
00
11
01
11
00
01
00
01
10
11
00
01
00
11
11
00
00
11
10
01
01
11
00
11
11
10
11
00
00
00
10
10
10
00
00
00
01
10
11
01
01
01
00
01
11
01
10
00
01
11
10
00
10
10
00
01
00
00
00
11
11
00
00
00
10
10
00
10
10
00
00
01
10
00
10
11
00
00
00
01
11
10
01
01
10
11
11
00
00
00
00
10
10
00
01
00
10
00
00
00
00
10
10
00
01
00
00
10
00
00
10
10
10
00
00
10
10
10
10
01
01
10
00
10
01
00
11
11
01
00
10
01
10
00
10
01
00
01
10
01
11
11
00
10
00
10
01
10
11
00
01
01
10
00
00
11
11
01
01
11
10
10
10
00
10
10
01
00
01
01
10
10
00
11
11
10
11
10
00
00
01
10
00
00
10
01
00
00
10
00
00
01
10
00
00
00
00
00
10
10
01
10
10
10
10
00
11
10
00
11
10
01
10
10
11
11
01
11
11
00
10
11
11
01
00
10
10
01
11
10
00
00
10
01
00
01
00
00
01
00
00
10
10
01
10
01
10
10
00
00
10
00
00
10
00
11
10
00
11
11
01
01
10
00
10
10
01
10
10
01
00
11
10
11
00
11
01
00
10
10
01
10
11
01
01
10
11
01
11
00
00
10
00
00
01
10
11
00
01
10
01
11
10
00
00
01
10
01
01
11
00
00
00
11
10
00
11
10
00
00
11
10
00
00
11
00
01
10
00
10
00
11
11
10
01
00
00
11
00
10
10
10
11
10
00
00
10
11
00
00
10
01
01
00
10
10
10
10
00
01
10
10
11
00
00
00
01
10
10
10
01
10
00
01
00
10
01
10
10
00
00
00
11
11
00
10
10
00
00
10
10
00
00
11
11
10
01
00
00
01
00
10
11
10
10
01
00
01
01
01
00
00
00
10
10
00
11
10
01
10
10
00
00
01
10
01
10
00
10
00
00
10
10
00
11
10
10
11
10
00
00
11
00
11
10
00
10
00
10
11
01
01
01
00
10
10
10
01
00
10
10
01
10
00
00
10
10
00
00
10
10
00
10
01
11
00
01
00
11
10
10
00
00
10
10
00
00
10
11
10
00
10
10
11
10
01
00
10
10
10
00
11
01
01
11
00
10
10
10
11
00
10
10
01
00
01
10
00
00
10
10
01
11
01
10
10
00
11
10
11
00
11
10
00
00
10
00
10
10
00
00
11
00
11
10
00
01
10
11
00
00
11
10
10
00
10
10
00
11
10
10
10
01
00
00
11
10
11
00
00
10
10
01
11
10
00
01
00
10
10
11
00
10
10
01
00
00
00
10
10
00
00
11
10
00
00
01
00
10
10
10
10
01
00
11
10
00
10
01
10
00
10
11
10
01
00
11
00
00
01
01
10
11
10
11
10
00
11
10
00
01
00
11
01
10
00
00
00
10
00
00
10
00
01
10
00
11
10
00
01
00
10
11
00
10
10
10
00
00
11
10
10
10
10
10
00
00
01
00
10
01
00
00
10
00
00
10
00
11
01
11
00
01
10
00
01
00
11
10
00
10
10
00
11
10
00
00
00
10
00
00
10
10
01
11
01
00
00
10
10
10
00
00
10
10
10
10
10
10
10
01
00
00
10
10
01
01
10
01
10
00
11
01
00
11
00
01
01
11
11
01
01
11
10
00
00
10
10
00
01
10
00
00
10
01
00
00
11
11
00
00
11
10
00
00
00
11
10
10
10
11
10
00
10
11
00
00
01
00
00
00
01
10
11
00
00
10
11
00
10
10
01
10
00
10
10
00
11
10
00
11
10
10
11
10
01
00
11
10
01
00
00
11
00
01
10
00
10
00
10
10
00
00
11
00
00
00
00
01
10
11
00
00
00
10
00
11
00
01
00
01
00
10
10
10
00
10
00
01
11
01
00
11
00
00
00
11
10
01
00
10
10
00
00
10
00
10
01
01
00
11
11
11
10
00
10
01
00
10
01
00
11
01
11
00
01
11
00
01
01
00
10
00
11
00
01
11
10
01
11
10
11
11
10
00
01
11
10
11
00
11
00
10
11
01
01
10
10
00
00
11
10
00
01
10
10
00
10
10
00
01
00
10
11
00
10
00
00
00
10
00
11
00
01
10
10
00
01
10
10
00
01
10
01
11
00
00
10
10
00
10
11
00
10
10
11
10
01
00
00
10
00
10
10
00
00
00
10
00
11
10
11
10
01
11
11
10
00
01
00
00
10
10
00
11
11
00
10
10
10
00
00
10
00
01
10
11
11
10
00
00
10
10
00
00
01
00
10
00
00
00
00
11
11
01
01
11
11
01
10
01
00
11
10
00
11
00
00
00
10
10
10
10
10
00
01
00
10
01
10
10
00
00
00
11
10
00
01
00
10
00
00
10
00
01
10
00
10
00
10
10
10
00
10
01
00
10
11
11
00
00
00
11
10
01
10
10
01
10
10
10
10
01
10
00
00
00
11
10
10
01
10
10
00
00
10
00
00
00
10
00
00
00
10
10
10
01
01
01
00
10
00
11
00
00
10
10
10
00
10
00
01
10
01
11
11
01
10
11
01
11
11
00
00
10
10
00
10
00
01
00
10
10
00
10
10
10
00
10
11
10
01
10
00
00
11
00
00
11
11
00
01
00
11
11
10
00
11
11
00
01
10
01
00
00
01
01
00
00
10
11
00
00
10
10
00
11
00
10
10
11
00
10
00
01
10
01
11
10
11
10
00
10
01
00
11
10
01
00
00
00
10
00
01
00
10
10
11
01
00
11
01
00
11
10
00
10
10
01
11
00
10
10
00
00
00
01
10
10
10
10
00
00
00
10
01
01
00
10
10
10
10
10
00
10
10
01
10
00
10
01
10
00
00
11
00
10
00
00
00
00
01
10
11
00
11
00
00
11
10
10
00
00
00
00
11
10
10
01
10
10
11
00
00
11
01
11
01
11
00
00
10
10
10
10
00
00
11
11
10
01
10
01
10
01
00
00
00
10
00
01
11
10
00
00
00
10
11
01
10
00
00
10
10
00
00
10
11
10
11
00
01
10
10
00
01
01
00
10
00
10
00
11
11
01
10
10
11
10
11
10
10
01
01
00
10
00
01
10
00
00
11
11
11
00
10
10
00
00
11
10
01
10
10
11
00
10
00
00
11
10
10
00
10
00
10
00
00
10
11
01
10
11
01
00
00
00
10
00
10
11
10
10
10
11
01
10
10
00
01
11
00
01
10
11
11
00
10
10
00
00
00
10
00
11
11
00
11
01
00
01
00
11
01
10
10
01
10
00
11
10
11
00
00
11
00
01
10
11
01
00
00
10
00
00
00
10
10
10
00
00
01
00
00
00
10
01
00
10
11
10
11
00
01
01
01
00
11
00
01
10
10
01
00
01
00
11
10
10
00
01
10
01
00
10
01
00
10
10
00
10
00
10
00
01
11
00
10
10
10
11
10
01
00
11
00
00
11
11
10
00
00
11
01
00
11
10
00
01
10
11
10
10
10
00
00
00
01
11
00
00
10
10
00
00
11
10
10
00
10
11
00
00
00
10
10
10
01
10
11
00
10
00
10
00
10
01
00
10
11
01
10
10
01
00
01
01
10
00
10
11
11
00
10
10
10
00
01
11
00
11
11
00
11
00
10
00
01
10
00
00
10
10
11
11
00
01
01
11
10
00
10
10
10
00
00
10
00
00
10
10
11
10
01
00
10
00
11
10
00
10
11
00
10
11
00
01
11
10
00
10
11
00
01
11
10
00
00
10
00
10
11
10
00
00
01
00
10
01
01
00
10
01
01
00
11
10
11
01
00
11
10
10
00
10
11
00
00
11
00
00
01
10
10
10
11
10
00
00
10
00
10
10
00
10
10
10
00
01
10
11
10
10
00
10
00
10
10
01
10
11
10
10
10
10
11
10
11
10
10
01
01
10
00
01
11
11
00
01
10
01
00
00
10
10
11
00
11
10
00
11
00
10
00
10
10
00
00
11
11
00
00
11
00
00
10
10
10
10
00
10
01
00
11
10
01
10
10
01
10
00
10
11
00
01
11
10
01
01
10
00
10
00
10
10
00
11
01
00
11
01
11
00
10
01
11
10
01
11
10
01
10
00
10
10
00
10
10
00
10
10
11
10
10
01
11
10
11
00
10
00
11
10
10
00
00
00
00
00
00
01
00
00
11
01
01
01
00
10
00
10
00
00
10
10
10
01
00
10
01
01
10
11
11
11
10
00
10
00
01
10
10
00
00
11
10
01
01
10
11
01
01
00
00
00
10
11
10
10
01
01
00
00
10
10
01
01
10
00
10
10
10
00
11
11
01
00
11
00
10
10
00
01
00
00
01
10
01
00
10
10
10
10
01
00
00
10
11
10
00
01
10
00
10
11
00
10
11
10
11
00
00
00
00
01
00
01
10
10
11
10
10
00
10
10
00
01
00
00
00
01
10
01
11
00
01
10
00
10
00
10
10
01
01
00
10
00
00
11
10
01
01
00
00
10
10
10
10
01
10
10
00
01
00
00
10
10
01
10
11
01
11
10
00
11
10
00
01
01
10
11
01
10
10
00
11
01
00
10
11
10
11
10
10
00
01
00
01
00
00
10
10
00
10
11
00
01
10
00
00
10
01
00
00
11
10
10
10
00
00
00
10
10
01
10
01
00
11
11
01
01
00
11
00
00
10
10
00
01
10
10
00
10
10
11
01
00
10
10
00
10
10
01
10
10
10
10
00
00
10
11
01
00
01
11
00
00
10
00
00
10
01
11
11
10
11
11
00
01
10
10
11
01
01
01
10
00
00
00
10
10
00
00
00
00
01
10
10
10
11
10
10
01
11
00
11
11
00
00
10
00
11
10
10
00
00
10
10
11
00
00
10
01
00
11
10
10
10
00
10
00
01
10
01
11
01
00
00
00
10
11
00
11
10
01
00
11
00
00
10
10
00
10
11
00
11
10
10
10
10
11
01
10
11
10
00
01
00
10
10
11
11
10
00
10
00
00
11
01
10
01
01
00
10
11
00
00
10
00
10
00
10
11
01
01
10
10
10
00
00
01
11
10
11
01
11
10
00
01
10
01
01
11
10
00
00
10
11
10
01
00
00
10
00
10
10
11
11
10
00
00
00
00
00
00
10
10
00
10
11
00
01
10
10
00
01
00
11
00
10
00
11
00
00
00
10
01
01
10
10
10
01
11
10
01
11
00
01
00
00
11
00
00
11
10
00
00
00
10
10
10
00
00
10
10
00
00
10
00
01
00
01
00
10
00
00
00
10
10
00
01
10
10
00
11
00
00
00
10
01
01
01
10
11
10
10
00
00
00
10
10
10
10
00
00
00
00
11
10
00
11
10
10
11
00
10
01
00
11
10
10
01
00
01
11
10
00
01
00
00
00
11
11
01
00
00
10
00
00
10
10
00
00
10
11
01
10
11
01
10
10
01
00
10
10
00
00
10
00
00
00
11
11
11
00
11
00
01
10
00
10
11
01
01
00
10
01
00
00
00
10
00
00
10
00
10
10
00
01
10
11
10
10
00
10
00
00
11
11
00
11
00
00
10
10
11
00
01
01
00
01
01
00
10
10
10
10
00
00
10
10
00
00
11
11
10
00
00
10
10
01
00
11
00
01
10
01
01
11
00
00
11
10
10
10
00
00
11
00
00
11
10
10
00
11
01
11
10
00
11
00
10
11
01
00
11
10
01
00
01
10
11
10
10
01
00
01
11
10
00
10
10
00
01
10
10
00
11
00
10
00
00
11
10
00
10
10
10
01
01
10
00
00
10
00
01
01
10
00
00
00
00
00
00
11
10
11
10
01
11
00
01
00
11
10
00
00
01
00
10
10
01
00
10
11
11
01
01
11
01
11
01
10
00
01
00
01
00
10
11
11
01
00
10
10
00
10
10
00
10
01
00
10
01
00
00
00
11
10
11
00
00
00
00
00
11
00
01
11
00
10
00
10
10
11
00
01
10
11
00
00
10
10
10
01
10
10
10
00
00
01
10
11
01
00
11
00
01
00
10
10
01
10
10
00
10
10
10
11
01
10
01
11
11
10
00
00
10
10
00
00
11
10
00
11
00
00
11
00
10
11
00
00
10
10
00
00
01
00
10
11
01
10
10
10
00
01
00
11
10
01
00
10
11
00
01
11
11
10
01
00
00
10
11
11
10
00
01
00
11
00
01
10
11
00
10
10
00
11
00
01
11
10
10
00
01
11
00
01
11
00
00
00
10
01
10
11
00
11
00
00
10
10
11
00
00
10
00
11
11
00
00
00
11
10
00
10
00
01
00
00
10
01
10
01
00
10
10
00
01
01
10
11
10
00
10
10
11
10
00
00
01
00
10
00
01
00
00
01
00
10
00
00
10
01
10
00
00
01
10
10
00
01
01
01
10
11
00
10
10
00
00
11
10
01
00
10
11
10
10
10
10
00
11
01
01
10
10
00
01
10
00
11
11
01
10
10
00
11
00
01
00
10
10
01
00
10
10
00
10
00
01
11
00
01
10
01
01
10
00
01
10
00
00
10
10
00
10
01
00
00
10
10
00
00
10
11
10
11
11
10
00
00
00
10
00
00
11
11
11
01
00
01
00
10
01
11
10
00
10
10
01
00
10
01
00
10
10
11
01
00
00
11
10
10
00
10
10
01
01
00
00
11
11
11
00
10
00
00
10
01
10
10
00
00
10
00
01
10
00
10
00
00
00
11
10
01
00
01
00
10
10
10
11
00
01
10
10
01
00
10
10
10
00
01
10
00
11
10
01
00
11
00
10
11
10
00
00
10
10
01
10
01
00
10
10
11
00
10
00
01
00
10
10
10
01
10
00
01
00
00
10
00
01
10
10
11
00
11
00
01
00
01
11
11
00
01
00
10
11
01
00
10
10
00
00
10
10
10
01
11
10
00
10
00
00
00
10
11
10
00
00
00
00
00
10
10
10
00
10
11
11
01
11
00
01
10
11
10
00
00
11
00
10
00
10
01
10
01
00
11
11
00
00
11
11
11
00
01
10
10
10
00
11
10
10
00
01
00
00
10
01
00
11
11
10
11
00
00
00
00
10
01
10
11
11
10
10
00
10
01
10
11
00
11
10
00
00
00
10
10
11
10
01
10
10
11
11
01
00
11
10
00
10
00
00
11
10
01
01
00
10
11
10
10
10
00
01
10
00
10
10
00
01
00
11
01
00
11
11
11
11
00
01
00
00
10
10
00
00
10
10
00
10
00
01
11
11
00
01
10
10
10
00
11
10
00
00
10
00
00
10
00
00
00
00
10
00
11
11
11
00
10
10
00
01
11
00
10
10
10
01
00
10
11
00
01
01
10
10
11
10
01
10
11
01
00
10
00
01
11
00
00
00
00
10
10
10
10
11
11
10
01
00
11
10
00
00
11
10
01
01
10
00
00
00
01
11
01
00
10
10
00
10
00
10
11
10
10
00
00
10
00
00
11
10
01
10
11
11
10
01
00
00
00
11
10
00
00
11
10
10
00
01
10
10
00
10
10
01
00
00
10
10
10
00
00
00
10
00
00
11
01
00
11
10
10
00
11
01
00
00
01
00
00
10
10
01
10
11
01
10
00
00
00
11
01
00
00
01
10
10
00
00
01
10
11
10
00
00
10
11
00
11
00
01
10
10
10
00
10
11
11
01
11
10
00
11
10
00
00
10
10
10
00
11
00
00
10
00
01
11
00
00
10
00
10
00
10
10
00
00
11
11
10
01
11
10
00
00
00
00
10
10
10
00
11
00
11
00
01
01
11
11
00
10
01
11
10
10
01
00
10
00
01
10
01
11
10
00
10
00
01
10
10
00
10
11
11
00
10
11
10
10
11
00
11
00
10
01
00
10
00
10
10
01
11
00
10
11
10
10
01
01
00
10
00
00
01
10
11
10
00
01
11
00
00
11
10
01
00
10
00
01
11
10
10
00
10
10
00
00
00
10
11
10
10
10
00
11
10
11
00
00
00
00
10
01
10
01
10
11
01
00
01
11
10
01
10
10
10
00
01
11
10
01
10
11
10
10
00
10
00
00
10
10
00
11
10
10
10
00
00
10
11
00
01
11
01
00
11
01
00
10
10
10
01
10
10
00
01
10
11
10
00
10
00
10
10
11
10
00
00
11
11
01
10
01
11
00
10
10
00
00
11
11
01
00
11
11
00
00
01
01
11
10
10
00
10
11
11
01
01
10
11
00
01
00
00
11
10
00
01
10
10
10
00
00
01
01
11
00
00
00
01
01
00
00
11
11
00
11
10
01
11
01
00
10
11
01
10
10
01
00
00
10
00
10
11
10
10
10
10
11
00
00
00
00
00
01
10
00
11
11
00
00
10
10
10
10
11
11
01
00
00
10
11
01
00
00
10
10
10
10
01
01
10
10
00
01
11
10
01
10
10
10
00
00
11
10
11
00
00
11
00
00
10
10
01
00
00
10
10
10
11
10
00
10
10
10
00
10
10
00
00
00
00
00
10
11
00
01
10
00
00
01
00
10
11
00
00
10
10
11
00
00
00
00
00
10
11
00
00
11
01
01
10
10
10
00
00
10
00
00
00
00
11
10
11
01
00
10
00
00
10
00
00
01
11
10
00
10
11
10
01
11
10
01
00
10
00
10
01
01
10
00
11
00
11
00
00
10
00
01
10
00
11
11
01
01
10
10
00
00
11
10
01
00
01
10
10
00
11
10
00
00
10
01
00
11
01
01
11
00
10
00
10
10
00
00
11
11
01
00
10
10
00
10
01
00
10
00
00
00
11
11
10
10
01
11
10
00
00
10
00
10
10
10
10
00
01
10
01
00
00
00
11
10
11
10
00
00
11
00
00
11
11
00
01
11
11
01
01
01
01
11
10
10
00
00
11
10
00
00
11
11
01
01
11
00
11
11
00
01
10
00
00
10
11
10
01
00
00
10
00
00
10
00
10
00
00
10
11
00
01
10
00
10
00
00
11
01
10
00
10
10
10
11
01
11
00
11
00
00
10
01
11
10
01
01
10
01
10
00
10
11
01
10
01
00
11
01
10
11
00
01
01
00
10
10
00
00
01
10
00
00
10
00
11
01
10
00
00
00
00
10
10
10
00
01
11
10
00
00
11
10
10
00
01
01
10
10
10
10
00
11
11
01
00
10
00
10
00
10
00
01
11
10
11
10
00
10
10
10
10
11
01
01
00
11
01
11
10
00
00
10
10
01
11
10
01
00
10
00
10
00
00
10
11
10
01
00
11
11
11
00
10
00
11
10
00
11
10
01
10
11
00
10
10
01
01
10
11
00
10
10
10
00
11
11
00
10
00
10
10
10
11
01
01
01
10
10
10
00
10
01
00
10
10
00
00
11
11
01
00
11
10
00
00
00
10
11
00
10
00
01
00
00
00
11
00
01
10
10
00
00
01
00
10
11
00
01
10
11
01
01
11
10
00
01
11
01
00
00
11
10
00
10
11
01
11
10
10
00
01
00
01
10
10
01
01
00
10
10
00
10
10
10
00
10
00
10
10
00
00
11
10
00
00
11
00
10
01
10
11
10
00
01
11
01
10
10
00
00
11
01
01
11
10
11
11
00
11
11
10
01
10
11
11
10
00
01
10
00
10
10
10
10
11
01
00
11
10
10
01
11
00
11
00
01
00
10
10
00
00
00
10
10
00
00
01
01
10
00
00
11
01
00
10
10
00
10
10
00
00
11
10
00
10
10
00
01
00
10
00
11
10
00
11
01
00
00
01
11
00
00
00
10
10
01
00
00
01
10
01
00
01
00
00
10
10
10
00
10
11
01
10
11
11
10
01
01
10
11
00
01
10
00
00
10
00
00
10
10
00
10
01
00
10
00
01
01
11
10
00
11
10
00
00
10
10
00
01
10
10
10
01
10
00
00
01
10
11
01
11
10
11
00
10
10
01
10
11
00
01
10
01
00
11
10
00
01
10
11
00
10
10
10
00
00
00
10
11
00
00
01
00
10
00
00
10
00
00
10
01
11
00
10
01
11
00
00
10
10
00
11
00
00
10
11
00
00
10
10
10
10
10
11
10
01
00
00
11
01
11
00
10
10
11
00
01
11
10
00
10
10
01
01
00
10
10
11
10
10
00
10
10
10
10
00
00
10
00
00
11
10
00
11
00
01
10
00
00
10
00
00
10
01
00
00
10
01
01
11
10
10
10
10
01
00
01
10
10
10
11
01
01
01
10
00
00
00
10
00
00
10
01
10
11
01
00
10
00
10
11
00
00
11
01
10
10
00
10
10
11
10
00
01
11
10
10
00
00
10
00
10
01
10
00
01
10
11
00
00
00
00
00
10
11
10
11
10
00
00
10
00
01
00
11
01
10
00
11
00
01
10
10
11
00
10
00
01
11
01
11
00
11
01
10
10
10
00
11
00
00
10
10
10
10
10
11
10
01
11
10
00
11
10
10
01
10
00
10
10
00
01
00
10
11
11
00
00
00
10
11
10
01
00
10
00
00
01
11
01
00
00
01
11
00
11
10
00
00
10
01
11
10
10
00
11
01
01
00
01
11
01
00
10
10
01
10
11
00
11
10
01
10
00
00
10
10
00
10
11
10
10
11
01
01
00
10
10
01
11
11
00
00
10
01
00
01
01
10
01
10
10
00
00
10
10
00
10
10
10
11
00
00
01
10
11
00
10
01
00
10
10
00
00
10
10
01
10
01
11
00
01
01
11
10
00
01
00
11
11
00
01
11
00
11
10
00
00
00
10
10
00
00
10
01
11
00
10
11
11
01
10
10
11
10
00
00
10
10
10
00
00
00
10
00
00
10
11
10
11
00
01
10
00
10
10
00
11
11
00
11
00
00
00
01
10
10
00
00
01
00
10
00
10
10
00
00
11
00
00
00
11
00
00
10
00
10
00
01
10
10
11
11
10
10
00
00
10
00
00
00
01
00
10
10
00
00
00
01
00
11
10
01
10
01
01
10
00
00
00
10
10
01
01
00
11
10
00
00
01
11
10
01
00
00
00
00
00
11
10
00
10
10
10
10
10
10
01
10
01
00
00
01
11
10
10
11
01
00
11
01
11
00
01
00
10
00
01
11
00
10
00
10
11
00
00
00
00
00
11
11
10
11
00
11
01
00
10
01
10
11
00
00
00
11
11
11
01
01
01
01
10
11
00
00
01
10
10
01
00
01
01
00
11
11
10
01
01
10
00
01
01
10
11
11
00
10
00
01
10
10
10
01
11
11
10
10
10
10
00
00
00
10
11
10
00
10
10
10
10
00
00
00
10
10
11
11
00
10
00
10
10
00
00
01
00
10
00
11
10
10
01
00
00
01
00
11
00
10
10
00
10
00
00
00
00
11
10
11
10
00
00
10
01
11
01
00
00
11
10
01
10
10
01
01
01
00
11
10
01
00
11
11
01
00
01
11
10
01
00
00
11
11
11
00
00
10
10
11
00
01
11
11
01
11
10
01
00
10
00
10
10
00
01
11
00
10
10
00
01
10
11
00
00
10
10
00
11
00
10
00
10
11
00
00
10
11
10
00
00
11
00
00
10
00
10
00
01
10
01
11
10
10
01
10
10
00
00
10
10
00
11
10
00
00
00
01
00
10
01
10
10
01
01
10
10
10
00
10
00
10
10
00
10
00
10
00
01
00
00
11
10
10
10
10
10
11
01
10
10
01
10
01
11
00
00
01
10
11
10
01
00
10
00
00
11
10
11
00
00
11
11
10
01
10
11
10
11
10
00
11
11
10
10
01
00
00
11
11
00
01
01
11
10
00
00
11
11
01
11
11
01
00
11
01
00
10
10
00
11
00
00
10
00
00
00
10
00
10
00
10
00
00
00
10
10
10
01
11
01
01
10
11
00
10
11
01
00
10
10
00
00
10
01
11
11
00
00
01
10
00
00
01
10
01
00
11
01
01
01
10
11
11
10
10
10
01
00
11
00
00
10
11
00
00
11
10
10
11
00
00
00
00
10
11
00
10
10
10
00
00
10
10
11
00
01
01
00
11
11
01
00
10
10
00
01
00
01
11
11
01
10
00
10
01
10
00
01
00
00
00
00
01
11
01
01
00
10
11
10
00
00
10
10
10
00
01
00
11
11
11
00
00
11
00
00
10
10
00
10
10
10
00
10
10
10
10
10
10
00
00
10
00
00
01
00
10
01
00
10
11
10
10
11
00
10
10
00
00
00
10
10
11
00
10
10
10
01
11
11
00
10
10
01
01
10
00
00
00
00
10
10
00
01
10
10
10
10
00
00
10
00
00
11
00
00
10
00
01
10
10
00
10
00
00
10
10
00
00
00
11
01
00
11
11
10
10
10
01
01
11
10
00
00
10
00
01
10
11
00
11
10
10
00
00
10
11
11
01
01
11
11
00
11
10
01
01
10
10
01
00
10
00
01
11
01
10
00
11
11
01
11
00
00
10
10
10
11
01
10
00
11
10
01
00
11
01
10
10
00
10
00
01
10
10
00
00
10
01
10
00
00
11
11
01
00
10
00
11
11
11
00
00
01
10
11
00
00
10
10
00
10
10
01
01
10
01
00
01
11
01
01
10
00
00
00
10
00
00
11
01
00
00
10
00
10
10
00
10
11
01
01
10
10
00
11
00
01
00
01
00
11
10
00
10
10
10
01
00
00
10
10
10
11
11
11
10
10
00
10
00
10
00
00
10
00
00
01
10
00
01
10
00
10
00
00
11
10
10
01
10
01
00
01
10
00
00
10
11
00
11
11
00
01
01
11
10
01
01
11
00
00
00
10
10
10
10
01
00
10
00
00
10
01
00
00
00
01
10
11
01
10
11
01
01
00
00
00
11
10
00
10
01
10
11
00
10
00
10
11
01
00
10
00
01
11
10
00
01
00
11
00
10
10
11
10
01
01
01
01
00
11
01
01
10
10
00
00
11
10
11
00
11
10
00
10
10
10
10
11
01
00
11
01
00
00
10
00
10
00
11
01
00
10
00
10
00
11
10
11
01
10
00
00
01
00
01
10
10
01
00
01
11
11
01
11
00
10
00
11
10
00
10
11
11
00
00
01
10
01
00
10
11
10
00
10
00
00
01
01
00
11
10
10
10
01
01
00
00
11
10
00
10
11
01
01
01
11
00
00
00
10
10
01
00
11
01
10
00
11
00
10
11
00
00
00
00
10
00
00
11
10
01
10
10
10
00
10
00
11
10
00
01
00
10
00
11
00
00
11
10
11
00
10
10
01
01
10
00
00
10
10
00
10
00
10
11
10
00
00
10
10
01
10
10
00
01
00
11
10
10
01
10
10
00
00
10
10
00
01
10
10
10
11
10
01
00
00
00
10
00
00
00
10
11
01
00
10
11
00
10
00
10
00
00
00
00
10
00
00
00
10
01
11
10
10
00
01
10
11
01
10
10
01
01
00
00
11
00
00
10
01
01
00
11
10
11
00
00
00
00
00
10
00
00
00
01
11
00
01
10
00
11
00
11
11
00
10
11
00
00
10
11
00
11
10
01
10
10
10
01
10
10
00
00
01
10
10
10
00
10
11
00
00
01
11
11
00
00
11
11
10
00
00
11
00
10
00
10
10
01
00
10
00
01
10
00
01
10
10
00
00
10
01
10
00
11
00
00
00
10
10
11
10
01
00
10
00
10
10
10
01
10
01
10
10
01
01
01
01
00
10
01
00
01
11
11
00
01
11
00
10
10
00
01
00
10
11
01
01
11
00
00
00
11
10
10
00
10
01
01
11
11
10
01
00
10
01
00
10
11
01
10
11
00
00
00
00
01
01
01
10
10
01
00
00
00
11
10
01
10
00
11
11
10
10
01
00
11
10
11
01
11
11
00
01
00
01
00
10
10
00
01
10
10
00
11
01
01
10
10
00
11
00
00
11
00
11
10
01
01
10
10
01
11
10
00
10
10
11
10
01
01
11
10
01
11
10
10
11
01
00
10
10
01
00
10
00
11
01
11
11
01
10
11
00
11
00
00
00
00
10
00
10
10
10
00
10
11
00
10
00
00
10
10
00
01
10
11
00
10
10
11
01
11
10
00
00
00
00
11
10
00
10
00
00
00
10
10
10
10
01
00
00
11
10
11
00
11
10
01
01
00
00
10
11
00
11
10
01
10
11
01
00
01
10
01
00
00
00
10
10
10
00
00
00
10
10
11
00
10
11
01
00
01
10
11
10
11
00
11
01
00
01
11
10
00
10
11
11
10
00
10
00
00
10
10
10
00
10
10
01
00
00
00
00
00
11
01
00
11
10
11
11
10
00
00
11
10
00
11
10
00
10
00
00
11
00
00
00
00
01
10
10
11
10
01
10
00
01
01
10
01
01
10
10
10
00
11
00
00
10
10
00
00
00
10
11
00
11
00
10
00
11
01
00
10
11
10
00
00
10
00
01
10
10
00
00
01
00
01
11
00
00
00
11
01
01
11
00
11
01
00
10
10
00
10
10
00
01
00
10
11
10
00
00
01
10
10
01
00
10
00
10
10
11
00
10
11
01
10
00
10
10
10
01
00
10
10
00
10
10
10
10
10
00
00
00
00
10
01
00
10
00
10
10
11
11
00
01
01
10
10
00
11
10
01
00
10
00
00
10
10
10
01
10
00
10
10
10
00
11
01
01
11
00
00
00
01
01
10
10
10
10
00
11
00
00
01
00
11
00
10
00
00
00
11
00
00
00
10
00
00
10
00
00
10
10
00
01
00
00
11
00
10
00
01
10
10
00
10
11
10
11
00
10
01
00
11
00
10
00
00
11
11
00
00
01
10
10
00
01
10
11
00
10
00
01
00
10
10
00
01
11
10
01
01
00
10
00
10
00
10
00
00
11
10
11
11
10
10
00
10
00
10
10
00
00
10
10
10
10
00
00
00
00
00
00
11
00
11
00
00
01
10
01
01
11
10
11
11
11
11
00
11
11
01
00
11
10
00
10
10
00
00
11
11
10
11
10
11
00
10
01
00
10
10
00
10
00
01
00
11
10
11
10
11
10
11
01
10
00
01
00
00
00
11
10
10
11
00
00
00
01
00
00
00
10
00
00
01
00
01
00
11
00
00
01
11
10
11
00
00
10
00
01
10
10
00
11
00
00
01
00
00
01
11
10
00
11
00
00
01
00
11
10
11
00
10
11
11
00
00
10
10
10
00
00
10
01
00
01
00
01
00
10
10
01
10
11
01
01
11
00
11
10
11
00
01
10
01
00
11
10
01
10
00
10
10
10
11
00
10
10
00
11
10
00
10
11
01
10
00
10
10
10
01
01
10
10
00
00
00
01
00
11
01
11
00
10
10
10
00
00
10
00
01
00
00
00
00
00
11
01
11
10
01
00
00
00
10
00
01
11
10
10
00
10
00
00
11
11
00
11
01
01
10
11
10
10
11
00
00
11
01
01
11
00
00
01
10
10
11
01
00
11
00
00
11
00
01
10
11
00
01
11
00
00
10
00
00
01
00
11
11
11
01
00
00
10
10
01
11
10
00
00
10
00
10
10
10
01
00
00
00
00
01
11
01
10
00
11
00
10
10
10
11
01
00
01
10
00
10
10
10
10
00
00
00
10
11
10
01
01
00
11
10
00
01
00
00
11
00
00
00
10
11
10
00
00
10
00
00
11
01
10
10
10
00
00
01
11
10
10
11
10
10
10
00
10
11
00
01
10
00
11
11
00
10
10
01
00
01
00
01
00
11
10
10
00
11
00
00
10
10
00
00
01
10
00
10
00
11
00
01
10
11
10
11
10
00
00
10
10
10
11
00
00
00
00
11
00
00
10
11
10
01
01
10
10
10
00
11
01
00
01
10
11
00
00
01
01
01
10
10
10
11
00
10
00
00
00
11
00
01
01
10
11
11
01
11
10
01
01
11
11
01
01
11
11
00
00
11
10
00
00
11
01
10
11
00
11
01
00
11
11
10
01
00
10
00
10
10
10
00
11
10
00
00
01
10
00
01
00
11
11
00
00
00
00
00
00
10
00
11
10
00
10
01
10
10
10
00
01
10
00
10
00
00
00
01
00
00
10
11
00
01
00
00
10
11
10
10
11
10
11
00
10
01
00
11
01
00
10
10
10
01
10
11
01
10
00
10
00
10
11
00
00
10
00
10
10
01
00
10
00
01
01
10
11
01
11
11
11
10
10
00
00
10
10
01
01
01
11
11
01
01
10
10
00
10
10
00
01
10
00
00
10
00
00
10
11
10
11
01
01
10
00
00
10
10
01
00
10
01
00
10
10
00
10
00
10
00
10
10
01
00
01
10
00
10
00
10
11
00
01
01
10
00
11
00
00
10
11
00
11
10
00
01
11
01
10
11
00
11
10
11
00
10
10
11
11
01
11
10
11
00
00
10
00
01
10
10
00
00
00
11
00
00
00
10
10
00
10
10
00
11
10
10
00
10
10
00
00
00
00
01
10
10
11
01
00
00
00
10
10
10
10
00
10
10
11
11
10
10
00
10
00
10
00
01
00
10
01
10
00
00
11
00
11
00
10
10
11
11
01
01
11
01
00
00
10
11
01
01
10
00
00
11
01
10
10
01
00
01
10
00
10
01
00
10
00
01
00
00
00
00
10
11
01
10
00
11
10
10
11
00
00
10
00
00
10
10
00
00
10
10
10
11
11
00
10
01
00
10
00
10
11
00
11
00
01
11
10
11
01
00
10
10
00
10
00
01
10
11
00
11
10
11
00
01
10
11
11
00
00
11
10
00
00
01
11
10
10
00
11
10
01
00
10
10
00
10
00
01
11
00
00
00
10
01
11
10
01
10
11
01
10
00
10
11
00
00
10
10
10
01
10
00
00
10
01
00
01
11
10
00
10
00
00
10
11
00
00
10
11
00
00
10
00
10
10
10
01
00
00
11
01
10
11
10
10
10
10
10
00
11
10
01
10
01
11
10
01
10
10
01
10
10
00
10
10
00
01
00
01
01
00
01
10
11
00
01
10
00
00
10
00
01
00
11
00
10
11
00
10
00
01
10
10
01
00
01
10
10
11
10
10
00
10
00
01
10
00
10
10
10
11
00
00
11
01
11
10
01
01
10
01
01
11
10
11
11
01
00
11
00
01
00
01
10
01
10
10
10
11
00
11
01
00
01
00
00
10
01
01
00
11
10
00
00
01
11
10
10
01
01
10
01
00
00
00
00
10
11
10
01
10
00
10
10
00
00
00
11
01
00
00
00
00
01
01
10
10
00
00
00
10
10
01
00
10
10
00
10
01
01
00
10
10
11
10
00
00
01
10
11
11
10
00
00
11
01
00
00
11
10
10
11
00
00
00
00
11
00
10
00
00
01
10
10
10
10
00
00
00
10
00
01
10
01
01
00
01
10
11
00
01
10
00
10
11
01
00
11
10
10
00
11
11
10
00
00
10
11
00
10
10
00
00
10
10
10
01
00
01
10
10
01
11
00
10
01
00
01
01
10
01
00
00
10
10
00
10
11
00
10
01
11
00
01
11
00
01
10
01
10
10
01
10
10
10
01
00
10
10
01
11
10
10
00
01
00
10
10
01
00
10
10
11
10
10
11
01
00
01
10
10
00
00
10
10
00
01
00
10
10
10
00
00
11
11
11
01
00
11
10
10
01
00
00
11
00
01
10
00
11
11
00
10
00
10
00
01
11
01
11
01
11
10
00
00
00
11
00
00
11
10
11
10
00
00
11
10
01
01
01
00
10
10
10
00
11
10
00
00
11
00
00
10
00
01
11
10
10
10
01
00
10
10
10
11
00
00
10
10
10
00
00
10
00
00
01
11
11
01
01
10
00
10
10
00
01
11
00
00
10
00
11
11
11
00
01
01
10
10
10
11
00
10
10
01
11
10
01
00
01
00
10
11
01
00
10
01
00
10
11
00
11
10
00
10
10
11
10
01
01
01
01
10
01
10
00
01
10
10
10
00
00
00
11
10
10
11
00
00
01
01
10
01
10
11
01
10
10
00
00
10
00
00
00
00
10
00
00
00
10
00
01
10
00
10
00
10
10
10
10
00
00
10
10
01
00
00
11
01
11
10
00
10
10
11
11
01
00
10
11
00
01
10
01
00
10
01
00
00
10
00
10
00
00
10
10
00
01
10
00
11
10
01
01
10
01
10
00
11
01
00
10
10
00
00
00
10
10
00
11
10
00
11
10
00
11
00
00
10
10
11
00
01
00
01
10
01
10
11
10
00
10
10
11
11
10
00
00
01
10
01
10
01
00
00
01
11
10
01
01
10
00
11
00
10
00
00
11
00
01
01
11
10
10
00
01
10
10
11
01
00
11
00
00
10
11
00
11
00
10
10
11
00
10
01
00
00
10
01
01
00
11
11
01
00
11
10
00
00
10
00
01
00
10
11
00
01
00
00
00
10
01
10
10
00
11
01
00
11
11
10
00
00
00
10
10
10
01
00
01
00
11
01
00
01
01
00
10
10
01
10
11
10
10
00
00
01
10
10
00
01
11
11
10
00
11
00
00
10
00
00
11
11
10
01
00
10
10
10
00
00
10
10
00
11
11
10
01
11
10
00
11
10
01
00
01
01
10
00
10
11
00
00
10
10
00
10
11
11
00
11
10
11
00
10
10
01
00
00
10
10
11
00
11
10
01
10
10
00
10
00
10
00
00
00
11
11
00
10
11
01
01
01
10
10
11
00
01
10
00
10
01
10
10
01
00
10
11
00
00
00
11
11
10
00
01
10
11
00
10
10
10
01
10
10
00
00
10
00
00
00
00
11
01
00
00
11
11
00
01
10
00
10
11
00
00
10
00
01
10
01
00
11
01
10
10
01
01
10
01
00
11
11
00
11
10
01
00
00
00
00
11
11
00
00
01
10
11
11
10
10
00
00
00
00
10
00
10
10
11
00
01
10
10
01
10
00
01
00
10
10
00
11
10
10
00
00
10
10
10
00
00
00
00
10
11
11
11
01
00
10
11
01
01
11
00
00
11
10
11
01
00
10
10
00
11
01
01
10
00
00
01
10
10
00
10
10
00
10
10
00
10
10
00
10
01
00
10
01
10
10
10
00
00
00
10
10
01
00
10
01
10
00
01
11
10
00
10
10
10
00
10
00
00
10
10
00
10
00
00
10
10
00
00
00
01
01
01
10
11
11
10
11
10
01
11
10
01
00
00
11
01
01
00
10
10
00
10
11
11
10
10
10
10
00
00
00
01
00
00
00
00
11
00
11
10
00
10
01
10
01
00
00
10
10
00
10
11
00
10
10
00
00
11
11
00
00
00
00
10
10
10
10
00
11
10
01
01
10
10
00
10
01
01
11
10
10
10
00
10
01
10
10
00
01
00
00
10
01
11
11
00
01
10
00
10
11
00
00
11
10
00
11
00
00
10
00
00
10
00
10
11
10
01
11
10
00
00
00
00
10
10
11
11
00
10
10
00
10
00
11
01
10
00
00
00
01
11
10
10
11
01
01
00
10
00
00
10
00
00
10
00
00
10
00
11
11
11
10
11
01
00
01
10
11
00
10
10
00
11
00
00
10
00
00
10
00
00
00
11
11
00
10
00
00
00
00
01
11
00
11
00
11
10
10
01
01
10
01
10
10
11
00
11
10
00
00
01
10
00
11
00
10
01
01
11
10
10
01
01
10
01
10
00
10
11
10
00
00
10
00
11
00
00
00
10
11
10
10
00
11
10
10
10
11
00
00
00
00
00
10
01
01
11
10
00
00
00
11
00
11
10
00
00
10
00
01
11
11
10
00
10
01
10
10
00
00
00
10
10
11
00
01
00
11
11
11
01
11
01
00
11
10
10
01
01
11
00
10
11
10
10
01
10
10
01
10
11
00
00
10
10
01
00
11
10
00
00
10
01
10
10
00
00
00
10
10
10
00
10
10
11
00
00
11
00
10
10
00
10
11
00
01
00
10
00
00
00
10
00
01
00
10
00
00
01
01
10
10
10
01
00
10
11
10
10
10
00
10
01
00
10
11
00
00
10
10
10
00
00
10
10
00
00
01
01
10
00
00
11
11
00
01
10
10
00
11
00
01
11
11
01
01
00
10
10
00
10
00
11
10
00
00
01
00
10
01
10
11
00
10
00
11
01
10
10
00
00
00
11
10
01
10
00
00
11
01
00
00
00
01
01
11
11
00
01
01
10
10
01
00
11
10
01
11
01
00
10
00
01
00
00
01
11
00
00
10
01
10
00
00
01
10
01
11
10
11
10
11
00
10
11
00
10
11
01
01
00
10
11
11
01
10
11
01
00
11
00
01
00
10
10
00
11
00
01
10
11
00
00
01
11
10
10
00
01
10
11
00
01
10
00
10
10
10
00
00
11
00
11
10
11
01
01
10
01
10
11
10
01
00
01
00
00
10
11
11
00
00
11
01
00
00
10
00
01
01
10
10
00
10
01
10
00
00
01
01
00
11
11
00
11
11
00
01
10
10
00
00
10
10
00
00
00
10
01
11
10
00
10
10
00
00
11
00
00
10
00
11
10
00
00
11
10
00
00
10
10
01
00
01
10
10
11
11
01
00
00
10
01
11
10
10
01
01
00
00
01
01
10
10
10
10
00
00
00
10
10
00
00
00
10
10
11
00
01
01
10
00
10
00
01
11
00
10
11
01
01
01
00
00
00
11
10
00
10
00
10
00
00
10
00
11
11
01
11
10
10
00
10
10
10
01
00
10
11
11
00
00
11
10
01
01
01
00
00
00
10
00
10
10
00
00
11
00
00
11
10
10
11
01
00
11
10
00
00
00
10
11
10
00
00
10
10
00
10
10
01
00
11
10
11
01
10
01
11
01
00
10
00
01
11
11
10
01
10
10
10
00
10
10
10
00
00
00
00
10
11
10
01
00
10
00
00
10
01
01
10
11
10
11
00
00
00
00
00
00
00
10
00
11
11
10
10
00
10
10
00
00
01
00
10
00
00
01
00
00
10
10
00
10
00
10
00
10
01
11
10
10
10
10
11
11
00
01
00
11
01
11
11
10
00
00
10
10
01
00
10
10
00
10
10
01
10
10
10
10
10
01
10
00
01
01
10
10
00
01
10
10
01
00
00
10
01
10
00
11
11
00
00
01
11
00
11
00
10
11
10
10
01
10
00
10
00
10
10
00
10
00
11
00
10
10
10
10
00
11
00
00
00
00
00
10
10
00
01
01
11
11
01
11
10
10
01
01
01
10
10
01
00
00
10
10
10
11
10
01
00
11
01
00
00
00
01
11
00
00
11
10
00
00
11
10
00
00
00
00
10
11
01
01
10
01
10
00
01
00
10
10
10
00
00
10
10
11
00
11
10
10
10
00
10
10
01
01
00
01
10
00
00
11
00
10
10
11
00
10
11
11
00
00
00
00
10
10
00
01
00
10
11
00
00
10
00
00
10
01
00
11
01
10
00
00
10
11
10
01
11
00
01
10
11
00
10
10
11
00
00
10
10
01
10
10
00
11
00
10
10
11
10
00
01
01
00
10
01
01
11
10
00
11
11
00
00
00
10
10
01
00
10
00
10
11
01
00
10
10
11
10
10
10
10
01
10
01
00
00
01
10
10
00
00
11
01
01
10
10
11
10
01
01
10
10
00
00
11
00
01
01
10
10
10
00
10
10
01
00
10
01
01
00
10
10
11
00
10
10
00
10
10
10
00
11
01
01
10
00
11
00
10
00
11
10
01
10
00
00
00
00
00
00
10
10
00
00
11
11
11
00
10
01
10
00
00
00
10
10
00
00
10
11
00
00
10
10
01
00
00
10
01
00
10
10
10
00
10
00
00
10
01
00
10
00
00
10
10
10
00
00
10
10
00
10
11
00
01
11
00
10
00
10
11
00
11
00
00
00
01
10
11
11
00
10
10
01
00
10
11
11
00
01
01
01
10
10
01
01
10
00
10
11
10
00
10
11
01
10
00
00
10
00
10
00
01
01
10
11
10
10
00
01
11
11
00
00
00
11
10
10
11
10
10
00
11
00
01
10
11
01
00
11
01
00
10
10
00
11
11
01
11
10
10
00
01
01
11
00
10
10
01
00
00
11
10
11
11
00
01
00
10
10
10
10
10
00
01
10
10
11
00
01
11
11
10
00
10
10
10
00
00
10
00
00
11
00
11
01
00
00
01
10
01
00
01
10
10
00
00
10
10
11
11
00
10
10
01
11
10
10
01
00
01
10
10
00
11
01
00
10
01
10
10
11
00
01
10
10
01
11
10
00
11
10
10
01
00
01
00
01
10
00
10
01
11
11
11
10
01
10
00
00
10
00
00
01
01
11
00
10
10
00
00
01
01
11
10
11
10
01
10
10
10
00
10
11
00
01
10
11
10
11
00
10
10
00
00
11
10
00
00
10
10
11
01
10
00
01
10
11
10
10
10
11
00
01
01
11
10
10
10
00
10
10
00
01
10
00
10
01
10
00
00
10
10
11
01
10
01
10
00
11
10
10
11
10
01
00
10
01
11
00
00
11
10
10
10
00
00
10
00
00
01
11
10
01
10
11
00
00
10
00
01
00
01
10
01
00
10
00
00
00
11
11
00
00
00
10
10
11
00
01
00
00
10
10
10
01
10
10
10
00
10
10
00
10
01
01
00
11
11
00
00
01
10
10
10
01
10
00
10
10
00
10
00
01
10
00
00
10
00
10
01
01
11
10
01
00
10
10
10
01
10
10
01
10
01
01
01
00
11
10
11
11
00
00
11
10
00
10
11
10
00
10
00
10
10
10
00
00
10
00
11
10
10
10
00
10
11
10
00
01
00
11
01
11
11
01
00
10
01
00
10
10
01
00
10
01
00
00
10
00
11
00
10
11
00
10
00
01
00
11
11
00
00
01
00
11
00
00
10
10
10
00
01
10
10
01
00
10
01
10
10
11
00
01
01
11
10
00
10
11
00
01
01
11
10
10
00
00
10
00
11
11
00
01
11
00
01
10
10
01
01
10
10
10
10
00
11
01
01
10
11
11
01
10
10
10
00
10
11
01
10
00
00
10
10
10
00
10
10
01
11
00
11
11
10
00
01
00
11
10
11
00
10
10
00
11
10
01
00
10
01
00
10
10
10
00
10
00
00
10
10
10
10
11
10
00
11
11
10
00
10
01
00
01
11
11
00
11
00
00
00
10
10
01
10
11
11
01
00
00
11
00
00
10
11
00
11
10
00
00
11
00
00
10
11
00
00
10
10
10
00
01
11
10
10
00
01
00
11
10
00
00
01
10
11
10
00
00
00
11
01
10
11
01
11
00
10
11
00
00
10
10
10
10
10
01
11
11
00
10
01
00
10
00
00
10
00
00
10
01
10
11
01
00
10
10
01
00
01
00
10
00
10
00
01
00
11
10
01
10
01
10
10
10
00
00
10
10
00
01
00
11
11
00
00
10
11
00
01
10
10
00
00
00
10
01
00
00
00
10
01
11
10
10
01
00
10
01
10
01
01
10
10
00
00
00
01
11
10
00
10
11
10
11
01
00
00
01
10
10
00
01
11
01
00
01
10
10
11
01
01
11
00
10
01
00
00
00
11
11
10
00
00
10
11
10
00
00
10
10
00
10
10
10
01
01
00
11
10
11
11
11
11
11
00
01
00
10
01
00
10
10
01
00
11
10
11
00
10
10
00
00
10
10
01
00
00
10
10
00
00
10
10
10
10
00
10
00
01
00
11
00
00
01
11
00
10
10
00
10
10
11
00
01
00
11
11
01
10
10
00
00
10
00
01
11
11
10
10
00
00
01
10
00
00
00
11
10
01
11
11
01
10
00
00
00
01
11
10
10
00
01
10
10
01
11
00
00
00
00
01
00
00
10
10
00
10
10
10
00
00
00
10
10
00
10
11
10
00
11
00
10
10
01
00
00
11
00
10
11
10
01
01
10
00
11
00
00
11
10
10
01
01
00
00
00
10
10
01
10
01
11
11
00
00
11
11
00
10
10
00
01
11
10
01
01
11
01
01
10
01
01
10
11
10
00
01
10
01
00
00
11
01
00
01
00
10
00
01
10
01
00
01
00
00
10
00
00
11
01
01
10
10
10
00
11
10
11
00
00
10
00
00
10
11
10
11
00
10
00
10
00
00
01
10
00
00
00
11
10
01
10
10
00
10
00
00
10
10
00
10
11
00
11
11
00
01
10
00
10
10
00
01
00
10
10
10
00
01
10
00
11
11
00
11
01
10
10
11
11
01
01
11
11
10
00
00
11
11
01
00
10
10
11
11
10
10
01
01
10
11
00
01
11
10
00
00
11
11
11
00
11
11
01
01
10
10
00
00
10
01
01
10
10
00
00
11
10
01
00
00
10
10
00
00
10
11
01
00
00
00
11
10
01
00
00
00
10
00
01
10
10
00
10
10
11
01
10
11
10
00
10
00
00
10
10
01
10
00
01
00
00
00
10
11
00
00
00
10
00
01
00
01
10
10
01
11
11
00
10
10
00
00
10
01
01
00
10
10
00
10
00
00
10
10
00
00
10
10
00
10
10
00
11
10
00
11
10
00
11
01
10
00
00
10
01
00
10
01
00
00
11
11
00
11
11
00
11
10
01
10
11
00
10
11
00
10
00
01
10
10
11
01
01
10
00
10
11
10
00
10
10
01
10
11
00
10
00
10
11
00
01
10
10
00
00
11
00
00
10
11
10
10
01
00
11
01
10
11
10
10
00
11
00
10
01
00
11
11
10
00
01
00
00
10
10
00
00
10
10
10
01
00
00
11
11
11
00
10
00
00
11
00
10
00
10
11
01
10
00
10
00
01
00
11
00
00
01
11
00
00
01
00
10
00
10
11
11
10
01
00
10
10
10
00
01
00
10
11
10
11
00
10
01
10
11
10
00
00
10
10
01
10
11
10
00
10
11
00
01
10
11
11
01
10
11
10
00
00
10
01
10
11
10
01
00
10
10
10
00
00
11
11
10
10
01
00
00
01
10
10
00
00
00
10
10
10
10
01
00
11
00
10
10
10
00
00
01
10
00
01
10
01
00
11
00
11
10
00
01
10
10
01
01
11
10
00
10
00
10
00
00
10
00
00
00
11
11
00
11
01
10
10
10
11
10
00
00
10
11
00
01
00
10
00
10
11
11
00
00
10
00
10
00
10
01
00
10
11
10
01
00
01
10
00
00
11
11
00
10
11
10
11
00
00
10
00
11
00
10
10
10
10
10
00
01
00
11
01
01
11
00
00
10
00
11
01
01
10
10
10
10
11
00
00
10
01
11
01
10
10
10
00
00
01
00
10
00
10
00
01
00
10
10
01
10
10
10
00
11
00
00
10
01
00
10
10
10
00
00
10
11
00
01
00
10
01
01
10
00
00
10
11
01
01
11
00
10
00
00
00
00
11
10
10
10
01
10
00
10
00
10
10
00
11
10
10
11
00
00
11
10
00
01
00
10
10
10
11
11
00
01
10
00
01
10
10
00
10
11
10
00
00
10
10
01
01
01
11
10
01
00
00
00
01
10
10
00
00
00
10
10
00
10
10
10
10
11
10
00
11
00
11
00
00
11
00
10
00
00
00
11
11
00
10
00
00
00
00
00
10
00
01
00
11
01
11
10
01
00
11
11
10
00
01
01
11
00
01
11
11
10
00
00
11
00
10
11
01
01
11
11
11
11
10
10
10
11
00
00
00
10
10
11
00
00
00
00
11
10
01
01
00
10
10
11
01
10
11
00
00
00
10
10
10
11
00
01
00
01
11
11
00
01
00
10
00
00
10
10
11
10
01
00
00
11
10
00
10
10
00
11
00
10
00
00
11
00
01
00
10
01
10
01
00
10
10
00
00
10
00
10
00
00
00
10
00
10
10
00
00
00
10
00
11
00
01
11
01
10
00
01
10
00
01
00
10
10
01
11
10
00
00
10
10
00
00
00
10
11
10
10
00
01
10
00
11
00
11
00
10
00
00
01
10
00
00
10
11
11
11
10
11
11
11
00
00
10
01
00
11
00
10
11
10
01
00
10
10
00
11
10
00
00
01
00
01
00
10
00
11
10
01
10
10
00
00
11
11
10
00
10
00
00
00
10
10
00
00
10
00
00
00
01
10
01
10
10
00
01
00
00
10
10
00
10
10
11
00
11
10
10
00
01
10
01
00
00
11
00
00
11
10
10
00
01
10
11
00
11
10
10
01
00
00
00
11
00
10
10
01
01
00
11
10
01
01
00
00
01
11
10
10
00
00
10
10
01
10
10
00
10
01
11
00
10
00
01
10
00
10
01
01
10
11
10
10
01
11
10
01
10
10
00
00
01
00
10
10
10
10
10
01
10
10
11
01
01
10
00
10
00
00
10
10
00
01
01
00
00
10
00
10
01
00
11
10
10
10
11
01
01
01
11
10
00
01
01
01
00
11
10
00
00
10
10
01
10
11
10
10
00
10
10
00
00
11
00
10
01
10
10
10
00
00
10
10
01
11
10
10
01
10
10
00
01
10
10
01
11
10
10
01
10
10
00
01
01
10
01
10
00
00
01
00
11
10
10
01
01
10
10
10
00
10
00
01
10
00
11
00
10
11
10
00
11
11
11
10
11
11
01
11
00
00
10
10
00
00
11
11
00
10
00
00
00
01
00
01
10
01
10
10
00
11
10
00
00
11
10
00
10
01
11
11
01
10
00
10
00
10
10
00
11
10
00
10
00
11
10
10
10
01
10
00
00
10
10
10
10
00
00
11
10
00
10
00
10
00
00
00
10
00
10
10
10
00
11
10
10
00
00
10
00
10
11
00
11
10
11
00
01
10
10
10
00
00
10
10
11
00
01
11
00
01
11
00
01
10
00
01
00
10
00
10
11
01
00
11
11
00
10
10
11
11
00
00
00
00
10
00
00
10
00
00
10
01
00
11
11
10
10
01
11
00
10
10
11
11
00
10
00
00
00
10
11
10
11
01
00
11
00
10
00
00
00
11
00
10
10
11
11
00
11
11
00
00
10
01
00
00
11
10
00
01
00
10
10
10
11
10
10
10
10
01
00
00
00
10
00
10
11
10
01
00
10
10
10
01
10
10
00
10
11
11
10
00
00
00
01
10
00
00
10
10
11
00
10
01
11
11
10
10
00
00
00
00
11
11
01
10
11
10
01
10
00
01
11
10
00
01
10
11
10
00
01
00
01
11
10
00
10
10
00
10
10
01
00
10
10
00
10
10
10
00
10
00
00
11
10
10
10
00
00
00
11
10
01
00
11
10
00
10
01
10
01
11
10
00
10
10
01
01
11
11
01
11
10
00
00
00
00
10
00
00
10
00
01
10
00
11
10
01
10
00
00
10
00
00
10
10
11
00
10
00
10
10
00
00
11
00
11
10
10
00
10
00
00
10
10
00
00
00
10
10
00
01
01
00
10
10
11
00
10
00
01
10
00
10
00
11
11
01
00
10
10
01
00
00
11
10
01
10
00
10
01
00
01
00
01
01
10
11
11
01
00
01
11
10
10
00
01
00
11
11
00
00
10
00
10
01
10
00
00
11
00
00
00
10
00
10
10
10
00
00
01
01
00
00
11
00
10
00
00
10
00
11
01
00
10
10
00
01
10
10
00
00
10
01
10
10
00
10
10
00
11
00
11
10
01
10
00
11
10
00
11
00
01
10
11
00
01
11
11
01
00
00
11
00
00
10
10
00
01
11
01
00
00
01
00
01
01
10
10
11
10
01
00
10
10
00
10
01
00
10
10
01
01
10
01
01
10
11
10
11
01
10
00
00
00
10
11
00
11
11
10
10
00
10
01
00
11
11
10
00
01
10
11
01
01
10
00
01
00
10
00
00
10
00
11
10
00
01
10
01
11
00
01
10
10
10
00
00
10
11
01
00
01
01
10
01
00
00
00
10
10
11
10
00
10
10
11
10
00
11
00
00
01
11
00
00
11
00
10
10
10
01
10
01
01
10
10
10
10
10
10
00
00
11
11
01
11
10
11
00
10
00
11
10
10
10
00
11
11
10
01
00
11
10
10
00
10
11
00
00
00
00
10
01
01
10
10
01
00
01
10
00
11
00
10
11
10
11
00
00
10
01
00
00
10
11
10
01
00
00
01
10
00
00
10
01
10
10
01
10
00
01
11
00
10
00
00
00
00
10
10
00
11
11
11
10
00
00
10
01
10
11
10
11
10
10
00
10
10
10
00
00
01
00
10
10
11
11
00
00
11
01
00
11
00
01
10
10
00
10
10
01
11
11
10
00
11
10
01
11
11
00
00
10
10
00
00
00
11
11
00
10
11
01
11
01
10
00
10
10
01
00
10
11
00
11
00
10
00
11
10
00
10
00
11
00
00
10
00
00
10
00
01
11
00
10
00
10
00
00
01
10
00
01
11
00
10
01
00
11
11
10
00
00
11
00
11
10
11
01
01
11
00
10
11
00
00
01
10
11
00
11
01
00
00
00
11
11
11
00
01
00
10
00
00
00
00
11
10
10
00
10
01
00
10
01
11
00
10
00
00
00
00
00
10
11
00
10
11
01
01
11
00
00
00
00
10
11
01
00
10
00
10
11
11
10
00
01
10
10
00
01
10
01
00
11
11
01
00
11
10
00
10
10
00
00
11
10
11
00
10
10
00
10
00
10
10
11
10
00
00
01
10
10
10
00
00
11
10
11
00
00
00
01
10
01
10
10
10
01
00
01
01
11
00
00
10
11
00
00
00
11
10
00
00
01
00
10
10
00
10
10
00
10
00
00
10
01
10
00
10
10
11
00
00
10
10
10
00
10
10
10
00
10
00
10
10
00
10
10
01
10
01
00
00
11
00
11
11
10
00
00
10
10
01
00
11
10
00
10
00
10
10
10
00
01
00
01
00
10
10
10
01
10
01
00
01
00
11
01
01
11
11
00
10
00
00
00
11
10
01
10
00
00
01
00
10
10
00
10
10
10
10
11
00
11
10
11
01
10
00
11
01
10
10
00
11
00
10
11
00
10
10
01
00
00
00
11
11
10
10
00
11
10
10
01
00
10
00
10
11
10
01
00
00
01
00
00
01
11
11
11
01
00
11
00
10
10
01
01
11
10
11
00
10
00
00
01
00
10
10
00
10
10
10
00
10
11
11
00
10
01
00
01
10
00
00
10
10
10
00
11
10
11
11
00
10
11
10
10
00
01
00
00
10
01
11
10
10
00
10
10
11
00
01
00
01
10
00
00
00
01
10
10
01
10
00
01
00
11
11
00
10
00
10
01
00
01
10
00
00
01
01
10
00
00
00
01
00
11
00
11
10
10
00
00
11
10
11
01
00
10
00
00
11
00
10
00
00
00
01
00
10
01
10
11
00
11
10
01
11
11
00
01
10
10
00
01
00
10
10
01
00
00
01
11
00
00
00
01
00
11
10
00
11
11
01
00
00
00
11
11
01
00
10
01
00
10
11
10
01
01
10
11
00
00
11
01
00
10
11
00
10
10
00
01
10
01
10
10
01
00
00
10
10
00
00
10
10
10
00
01
11
01
00
00
10
11
10
10
01
00
10
00
00
10
01
00
10
00
11
10
00
00
00
00
00
10
10
01
00
00
10
00
00
11
00
10
01
10
10
01
10
01
00
00
00
00
00
10
00
10
00
00
01
00
10
00
10
10
10
01
10
00
00
11
10
00
01
00
10
10
11
11
01
11
01
00
11
00
11
10
00
01
11
00
10
11
01
10
00
10
00
11
10
01
00
00
10
11
00
11
10
00
10
11
10
00
00
00
01
01
10
11
10
10
11
11
00
00
01
10
10
00
00
10
11
11
00
11
11
10
01
00
11
00
01
10
00
10
11
01
00
11
10
01
00
00
11
10
10
00
01
11
00
10
11
10
00
00
00
00
00
10
11
01
01
10
10
01
00
00
11
01
00
00
10
10
00
11
01
00
10
00
00
00
00
01
10
11
10
10
11
10
01
01
00
10
10
00
00
01
10
00
10
10
00
11
00
00
00
00
11
10
01
00
10
00
10
00
11
10
00
00
10
00
00
00
10
00
00
00
10
00
11
11
00
10
00
10
10
10
00
00
11
11
00
11
01
10
11
11
01
00
11
11
11
11
00
10
11
01
01
00
11
11
00
11
10
10
10
10
10
00
01
00
01
10
00
10
11
10
01
00
01
11
01
00
11
10
10
01
00
00
10
00
10
00
11
00
00
00
00
01
01
11
01
00
11
10
10
10
10
11
01
00
00
10
10
10
10
01
00
01
10
01
10
00
00
10
01
00
00
11
11
10
01
00
01
00
10
00
01
10
01
00
10
01
00
10
10
11
00
10
11
00
10
10
00
00
00
10
10
10
00
00
11
00
11
01
10
00
10
10
10
11
00
00
10
00
00
00
10
10
00
10
00
11
10
01
00
01
10
00
01
00
01
10
11
11
11
11
00
10
01
00
10
11
00
00
00
00
10
10
10
10
10
00
10
10
00
01
00
10
01
11
10
00
01
11
00
00
01
00
10
01
11
11
11
01
10
10
11
01
00
01
10
10
00
11
10
00
00
11
00
00
11
00
10
10
00
10
10
00
01
00
11
10
00
10
01
00
10
00
00
10
10
10
11
00
10
11
10
10
01
00
10
00
10
00
00
01
10
00
11
10
11
00
00
00
01
00
10
10
00
00
00
11
01
00
11
11
10
10
10
11
10
01
00
00
00
00
01
11
10
00
10
10
00
00
11
10
10
10
00
10
01
01
00
01
11
01
00
10
10
10
00
01
00
01
10
01
10
01
00
10
10
00
00
10
00
01
10
10
00
10
01
01
01
10
10
10
01
10
10
01
00
10
11
00
10
00
00
00
11
00
00
00
01
11
11
10
10
10
11
00
10
01
10
01
10
01
10
00
11
01
10
11
10
01
01
10
01
10
10
00
10
00
00
01
10
11
10
00
01
00
01
10
01
00
10
10
00
10
10
10
00
00
10
00
00
10
10
11
00
00
10
00
10
00
00
10
10
11
00
00
00
10
10
10
10
00
10
11
00
11
10
10
00
01
10
11
01
00
11
10
01
00
01
11
00
00
10
00
00
10
10
00
11
10
11
10
11
10
10
11
10
01
00
01
00
11
10
00
10
00
00
00
11
11
10
11
10
10
10
11
00
01
00
10
10
00
10
00
00
01
00
10
11
00
00
00
00
10
10
00
00
10
00
01
10
10
01
00
01
01
11
00
00
01
00
10
10
10
01
00
10
01
11
00
10
10
01
01
10
10
01
11
10
11
00
01
11
00
00
00
11
11
11
00
10
00
10
11
10
00
00
11
10
10
11
01
10
10
10
11
10
10
01
00
10
11
00
00
00
01
01
00
10
10
00
00
11
11
11
11
00
00
00
00
00
10
10
11
01
01
10
10
10
10
10
10
10
00
10
10
10
01
10
10
00
11
01
10
11
10
00
11
00
00
11
10
00
00
00
01
10
11
00
10
00
11
01
11
00
00
10
11
01
11
10
01
01
00
11
00
10
10
01
00
00
10
11
11
11
00
00
10
01
01
10
11
01
00
10
01
00
11
10
00
11
10
01
11
00
00
10
00
00
00
10
10
10
00
00
11
11
00
11
01
11
10
01
10
00
11
10
00
00
01
11
01
10
00
10
00
10
10
10
00
10
01
10
10
00
00
10
01
01
11
01
10
01
11
01
10
01
00
10
11
00
10
11
10
00
01
01
10
00
00
11
00
00
11
10
00
10
01
01
00
10
11
10
10
10
00
00
10
11
10
00
11
10
01
00
00
10
10
10
01
00
01
01
10
01
11
00
10
00
00
11
10
01
00
11
10
11
00
11
11
00
00
10
00
00
10
10
00
11
00
00
01
00
01
11
00
00
11
11
01
10
11
11
00
10
10
01
00
01
10
11
10
10
00
00
00
10
00
00
00
00
10
10
10
00
00
10
11
10
00
00
10
10
01
10
00
00
11
10
00
10
10
10
01
00
10
00
10
11
00
11
01
10
00
11
00
00
00
10
10
00
00
00
00
11
00
01
01
00
11
10
01
00
00
00
11
01
10
01
01
11
10
10
10
10
11
00
01
11
10
00
00
01
00
11
11
00
00
01
01
01
00
10
00
10
10
00
00
11
11
00
01
00
11
10
00
10
10
01
00
11
00
00
10
00
01
10
11
01
00
01
11
11
00
00
11
00
11
01
00
10
10
00
00
10
10
00
00
00
10
10
00
00
01
10
00
10
10
00
00
00
00
00
10
11
10
00
00
10
00
10
10
10
10
00
01
00
11
10
00
00
11
00
10
11
10
10
10
10
00
00
10
11
11
10
10
01
01
10
11
00
00
00
11
10
00
00
10
00
00
01
01
10
10
11
10
10
00
11
11
00
00
01
10
01
10
11
00
01
00
11
11
01
01
10
10
01
10
11
11
01
01
00
01
11
10
01
01
00
00
10
11
00
11
10
11
10
10
01
00
10
11
01
01
11
10
10
11
00
00
11
11
00
10
00
11
10
11
00
00
10
10
10
00
00
11
11
00
10
11
10
01
10
01
11
00
10
11
11
00
00
10
11
00
10
10
00
10
00
10
00
10
00
10
11
00
11
11
10
10
10
00
01
10
00
00
10
00
00
00
11
00
00
11
11
10
10
01
10
10
01
00
01
10
00
11
11
00
00
11
11
01
00
00
00
00
10
11
00
00
01
10
00
11
10
00
01
00
00
00
11
10
10
11
00
00
00
01
10
00
00
00
01
10
10
11
00
10
10
00
11
10
00
00
00
11
11
10
00
01
00
10
10
10
00
01
10
01
11
01
00
00
01
10
10
00
10
10
10
01
00
00
10
00
10
01
10
11
11
01
01
01
01
10
00
00
00
10
11
11
11
00
01
00
00
00
10
00
00
00
00
10
11
00
01
10
00
00
00
11
10
10
00
10
10
00
00
00
00
10
10
01
11
00
00
10
01
01
00
11
10
11
00
11
00
01
10
10
10
01
10
10
11
00
11
10
10
00
01
11
00
01
10
10
10
10
00
11
00
00
00
00
10
10
11
00
00
00
11
00
10
10
01
10
01
00
10
00
10
00
01
10
11
01
00
10
10
00
00
00
00
10
00
10
10
00
01
11
11
10
11
10
11
10
00
01
10
01
00
11
11
10
11
10
11
00
10
10
01
00
11
00
00
11
01
10
00
10
11
00
01
10
10
01
01
01
11
10
00
00
01
01
11
10
00
10
10
00
00
00
10
10
00
00
10
10
10
11
01
01
00
10
10
00
11
11
00
01
00
00
00
10
00
00
11
11
11
01
00
00
00
11
00
00
10
10
00
00
10
00
00
10
01
00
00
10
10
10
10
00
00
01
10
00
00
10
11
01
10
10
10
10
00
10
01
01
10
00
01
10
00
00
00
01
10
10
10
11
01
00
11
00
01
11
00
11
10
01
00
00
10
11
00
01
10
01
01
10
00
10
00
10
10
00
01
01
10
10
11
11
11
10
00
00
10
00
00
11
01
10
10
01
10
10
11
00
11
00
01
11
01
10
10
01
00
10
10
00
00
10
10
00
00
10
01
11
10
10
01
01
01
00
10
00
10
10
11
10
00
00
11
01
11
00
10
11
10
10
00
10
01
01
10
00
10
10
00
11
10
11
01
10
01
10
00
00
11
11
10
10
01
00
00
10
00
00
10
10
10
11
01
10
01
11
10
00
00
10
10
10
00
00
11
00
00
10
10
10
00
01
10
00
00
01
10
11
10
11
10
00
01
11
00
00
00
10
00
10
00
00
00
00
10
00
01
00
00
00
11
11
00
10
10
10
11
11
01
00
10
01
11
11
00
11
10
01
10
00
00
00
10
10
10
01
00
01
00
10
01
01
00
11
10
01
00
10
01
01
11
01
11
11
00
10
11
10
00
11
00
01
00
01
10
10
10
00
10
00
00
11
11
10
00
00
00
10
00
10
11
11
00
01
00
00
11
00
10
00
10
10
00
00
00
10
11
01
11
11
10
01
11
10
11
00
01
11
11
00
00
00
11
10
00
00
01
10
00
10
11
00
01
10
00
01
10
00
10
10
00
01
00
00
11
10
10
10
11
10
10
00
11
00
01
10
10
01
00
00
11
00
10
11
00
10
10
00
00
00
01
11
11
01
00
00
10
01
10
11
00
00
10
10
11
00
11
00
11
00
11
00
11
10
01
01
10
00
00
10
10
10
00
10
10
01
10
10
00
11
00
10
11
00
10
10
00
01
00
11
10
10
10
00
11
01
10
11
10
00
10
11
00
00
00
11
00
10
00
00
10
10
10
10
01
11
00
10
01
01
00
00
01
10
11
10
11
00
01
11
00
00
01
01
10
10
00
11
00
11
10
00
01
10
11
00
10
10
01
01
00
01
10
11
00
00
10
10
10
00
10
10
00
00
11
11
01
10
01
10
01
11
00
01
11
11
00
01
10
10
00
00
10
10
10
10
00
00
01
00
10
10
00
10
00
00
11
11
00
11
10
01
01
00
10
11
10
10
10
00
01
00
00
10
10
10
00
01
11
00
01
01
10
11
01
10
01
11
10
01
00
10
00
00
11
11
01
00
00
00
01
00
10
00
01
00
10
11
00
11
10
00
00
11
11
10
11
00
10
11
00
01
10
11
01
00
00
00
01
10
01
10
10
10
00
10
01
00
10
00
00
10
10
10
10
00
01
00
11
10
00
10
00
00
11
11
01
00
01
00
11
10
01
10
10
00
01
10
11
00
11
00
00
01
00
10
10
00
10
00
10
10
10
01
11
01
00
10
11
00
10
10
00
00
10
11
00
10
00
10
11
00
01
11
10
01
10
10
01
00
10
10
01
01
10
01
00
00
00
00
00
00
10
10
10
10
10
11
01
10
01
00
11
00
11
00
10
10
01
11
11
11
00
10
10
00
10
10
01
10
00
10
10
00
11
11
10
11
11
11
11
10
11
00
10
11
00
00
11
00
01
10
10
01
10
01
10
10
00
11
00
10
10
10
00
00
00
00
01
10
11
00
01
10
11
00
11
10
00
11
10
11
11
10
01
11
00
01
00
10
00
01
10
01
00
11
01
00
01
10
10
00
11
00
11
10
00
00
11
11
00
10
10
10
00
01
10
00
00
10
00
00
10
00
10
00
10
10
00
11
00
01
01
00
11
10
11
00
00
11
10
01
00
00
10
10
11
01
10
01
10
10
01
10
11
00
00
10
10
10
01
00
11
01
00
00
00
10
10
10
00
10
01
00
00
11
00
10
10
00
00
11
00
00
10
11
00
01
00
11
10
01
00
01
00
10
10
10
00
11
00
00
01
11
10
00
10
10
00
01
10
00
11
11
00
11
01
10
10
00
00
00
00
10
11
10
00
01
01
01
11
00
00
00
10
10
10
00
00
10
11
11
11
10
00
11
00
10
11
00
00
11
00
00
10
00
10
00
01
00
01
10
11
10
00
10
10
00
01
11
10
10
01
10
00
00
11
01
11
00
00
10
01
00
01
10
00
10
00
10
01
00
10
10
11
10
01
00
10
10
01
10
01
01
10
10
10
00
11
10
01
01
10
10
10
10
00
10
00
11
11
10
10
10
01
01
11
11
10
11
00
10
10
01
11
00
00
10
10
00
10
10
01
00
11
01
10
00
01
00
01
11
10
00
00
10
10
01
10
00
10
10
10
00
10
10
00
01
10
11
00
00
10
11
00
00
11
10
10
00
00
01
11
10
10
10
00
11
10
01
01
00
10
11
10
00
11
10
00
01
11
11
10
01
01
10
00
00
00
01
10
10
10
10
11
11
01
10
01
00
10
00
01
00
10
11
00
11
00
10
10
10
01
01
10
10
00
01
11
11
11
00
01
11
10
00
10
10
00
00
00
10
10
10
10
10
10
00
10
10
00
00
10
00
10
01
10
01
10
00
11
01
10
00
10
10
10
01
11
00
10
00
01
01
00
01
00
10
01
00
10
10
01
01
00
01
00
00
01
10
00
11
01
00
00
10
10
10
00
00
10
10
00
00
11
10
01
10
11
10
01
11
11
00
01
01
11
00
10
01
11
10
01
10
10
00
10
11
00
00
10
00
10
10
10
00
00
00
10
00
11
11
11
00
01
10
00
10
01
00
10
10
10
00
01
10
10
01
10
00
11
01
00
11
01
10
11
10
01
00
01
00
01
01
11
10
10
10
00
00
00
11
10
11
00
00
10
10
11
00
10
00
10
01
11
10
00
01
01
01
00
01
10
10
01
00
10
10
11
00
01
10
01
10
10
00
11
01
01
10
11
10
11
10
10
10
01
00
10
01
01
11
01
11
01
10
10
00
01
00
10
10
11
01
00
10
00
01
01
00
00
01
00
10
00
10
11
11
00
01
10
00
11
01
00
10
10
10
10
01
00
11
10
10
00
10
00
10
00
00
10
11
10
01
10
00
00
01
10
11
10
00
00
00
10
11
00
00
10
10
10
01
10
01
01
00
00
10
10
10
01
00
10
00
10
10
01
11
11
10
10
10
10
10
00
00
11
10
00
10
00
00
01
00
11
10
11
00
10
11
11
00
00
00
00
11
11
00
10
10
10
10
10
00
00
01
10
11
10
00
10
00
10
01
00
11
10
10
01
01
10
01
01
11
00
10
00
11
10
00
01
10
01
00
01
00
10
10
00
10
11
10
11
10
00
00
10
10
01
01
11
10
00
00
00
01
10
10
00
00
10
11
10
10
00
00
00
10
00
01
00
10
01
00
00
00
10
11
00
01
00
00
11
00
01
10
01
01
00
10
00
10
11
00
00
11
00
11
01
10
11
00
11
10
00
01
00
10
10
01
00
10
10
00
01
10
10
00
10
01
01
10
11
01
00
01
10
11
11
00
00
10
01
00
10
10
01
10
01
10
10
01
00
11
10
10
00
00
10
10
01
00
01
01
00
10
00
10
00
00
11
01
10
10
10
10
10
11
01
10
10
00
11
10
10
10
10
01
01
00
00
10
01
01
11
10
10
00
10
00
00
10
00
00
10
00
10
01
10
00
00
00
11
00
10
11
00
10
11
00
00
00
00
10
10
10
11
00
10
00
00
10
01
01
10
00
11
00
00
00
10
01
10
10
10
01
00
11
01
00
00
01
00
01
10
10
00
00
01
10
10
00
10
01
11
10
10
10
10
00
01
10
01
00
10
01
00
00
11
10
01
00
01
10
10
10
11
00
00
11
10
10
10
10
00
10
10
01
11
10
10
00
10
11
01
01
01
10
10
00
10
10
10
00
00
10
10
11
00
11
00
01
00
00
01
10
10
10
01
00
00
10
11
01
00
01
10
00
10
11
00
10
10
00
10
01
11
11
10
10
00
00
10
01
11
10
01
10
00
10
10
00
00
10
11
00
00
11
00
10
10
11
00
11
10
00
10
00
00
11
11
11
00
00
00
10
00
10
11
01
00
10
10
11
00
10
10
10
10
11
11
00
11
00
00
10
01
00
11
00
00
01
00
11
00
10
11
10
00
00
11
11
10
10
00
00
11
00
11
00
01
11
10
01
01
11
00
00
10
10
10
01
11
10
00
10
10
10
10
00
10
11
00
01
10
01
01
00
01
10
00
01
00
00
10
01
11
10
01
00
10
00
00
10
00
00
10
00
10
10
10
00
01
11
10
00
00
01
10
10
01
10
10
01
01
10
10
00
00
01
10
00
10
10
10
10
00
11
10
00
10
01
11
00
01
10
01
01
10
11
10
00
01
00
11
00
10
11
11
01
00
11
11
10
01
00
01
10
01
00
10
10
10
10
00
00
10
00
00
00
01
10
11
01
10
10
00
01
10
00
00
10
10
00
01
10
00
10
00
10
01
10
10
00
00
10
10
10
01
10
00
00
10
01
00
00
11
11
10
10
10
00
10
10
00
00
00
00
01
10
10
00
00
10
11
11
10
00
01
01
11
00
00
01
00
10
00
00
00
11
10
01
10
10
11
10
11
10
10
01
10
11
10
00
00
10
11
10
00
00
00
11
00
10
10
01
00
01
11
01
01
11
11
10
00
01
10
01
00
10
10
01
10
01
11
00
10
00
11
10
00
00
01
00
10
10
01
11
00
00
11
11
00
01
11
10
00
10
10
00
10
00
00
10
01
00
00
01
10
00
00
10
00
01
10
11
00
10
10
10
10
00
10
10
01
00
01
01
10
11
00
01
10
11
00
01
00
10
10
10
10
00
01
10
00
01
11
10
00
10
11
00
01
11
00
11
00
01
00
00
10
00
10
11
00
10
01
01
10
00
00
11
01
00
11
00
11
10
01
01
01
11
11
11
01
10
11
01
01
10
11
01
00
11
10
10
00
11
11
01
10
11
00
01
00
11
11
00
00
10
01
00
01
10
00
00
11
00
00
11
00
01
10
00
10
00
00
11
01
00
10
10
00
00
10
10
01
10
10
11
01
00
10
00
10
01
00
00
10
11
01
01
10
01
00
00
11
10
11
00
00
10
00
00
11
00
00
10
10
11
11
00
10
11
10
01
01
00
00
00
10
00
11
10
10
00
10
01
00
00
10
10
10
00
00
10
01
10
00
00
11
10
00
10
10
10
00
10
00
00
10
00
10
01
10
00
10
10
11
00
01
10
10
00
00
10
10
01
00
10
10
10
01
00
11
00
00
11
10
10
01
00
01
00
00
10
10
11
01
00
11
01
10
01
01
00
10
01
11
10
01
01
10
10
11
10
00
01
01
01
10
10
10
00
00
01
10
11
00
00
00
10
00
01
10
10
00
00
11
10
00
01
10
00
10
00
11
01
10
10
10
10
01
01
00
00
10
10
10
00
00
00
10
10
10
11
00
01
11
00
00
10
00
10
10
00
00
11
10
01
11
10
01
01
00
11
10
00
00
00
00
10
00
01
10
10
11
00
00
00
11
11
00
01
00
01
10
00
01
10
10
01
10
10
11
01
01
00
11
10
00
11
10
00
00
10
00
10
01
00
11
11
00
01
10
01
10
10
00
10
00
00
00
11
11
10
00
10
01
00
11
11
10
00
00
11
11
00
00
00
00
10
10
10
00
11
01
10
10
10
10
11
10
01
01
11
00
00
01
10
10
00
00
10
01
01
10
01
00
10
00
10
10
10
00
00
11
00
01
00
10
10
10
11
10
01
10
01
00
00
10
00
00
10
00
11
00
01
00
00
10
10
11
01
01
11
11
00
01
11
11
00
01
11
01
11
11
01
00
01
11
00
00
00
11
11
01
00
00
10
11
00
10
00
01
00
11
01
10
01
10
11
11
10
00
10
10
11
10
00
01
01
10
00
01
10
11
00
00
11
10
11
00
00
11
00
10
10
00
00
01
00
00
01
11
00
00
01
10
10
00
00
00
11
10
11
10
00
10
11
00
00
11
10
00
01
11
01
00
10
10
10
11
01
00
01
01
11
00
10
10
11
10
10
00
01
00
10
01
00
10
11
01
11
00
00
00
00
10
10
11
10
10
00
01
10
10
11
01
01
00
00
10
10
00
00
00
10
10
11
11
10
00
10
00
00
11
10
11
00
01
10
10
00
01
10
11
00
00
11
00
11
00
01
10
01
00
10
10
00
11
10
10
10
10
01
00
00
11
00
11
10
00
10
00
00
00
01
10
10
10
00
01
10
01
10
00
01
11
10
11
00
00
00
00
10
10
10
00
00
10
01
01
10
10
10
11
10
00
11
00
10
00
01
10
11
10
00
10
10
10
00
11
10
00
11
10
10
11
00
01
11
10
10
11
10
00
10
10
00
01
11
00
10
11
10
10
00
00
01
11
10
10
10
00
11
11
00
01
00
00
00
00
10
10
10
00
10
11
10
00
10
00
00
00
00
10
11
00
10
10
11
01
00
00
10
00
10
10
10
00
10
11
00
00
00
00
01
00
10
11
01
01
11
10
01
10
11
01
01
10
01
10
10
10
00
00
10
00
00
11
01
10
10
10
11
00
11
10
00
00
10
11
00
01
11
10
01
10
00
10
10
10
00
00
10
01
01
10
01
01
01
00
01
00
11
00
11
10
00
00
10
00
11
11
00
00
11
00
10
00
00
01
10
10
10
10
00
11
10
01
00
10
11
00
11
00
00
11
00
01
10
10
01
01
10
00
11
11
00
10
00
10
01
10
10
01
01
10
10
10
00
11
00
00
10
10
00
01
11
10
10
10
01
10
01
10
10
00
01
00
10
00
00
10
10
01
00
00
10
00
10
10
00
00
10
10
01
00
10
10
10
01
00
11
10
11
00
00
10
10
10
00
11
10
01
01
00
00
11
00
10
00
00
00
11
00
00
00
10
10
00
11
11
00
01
00
01
11
00
10
00
10
10
00
11
00
10
10
01
00
11
00
00
00
11
01
00
01
10
00
00
11
10
00
10
11
01
01
11
10
00
01
01
01
11
11
11
00
10
10
10
00
00
11
10
10
01
00
01
01
00
10
10
00
11
10
00
00
00
10
01
11
00
10
11
10
01
10
00
10
11
11
00
01
11
00
01
00
01
10
10
01
00
01
10
10
01
10
10
10
00
01
00
10
11
00
01
10
00
10
11
01
10
00
00
00
00
00
00
00
11
01
11
10
10
00
10
00
00
10
00
00
11
00
00
01
00
10
10
00
00
10
00
10
10
00
00
00
00
11
11
00
11
10
00
00
00
10
10
00
10
01
10
11
00
10
01
00
11
10
00
11
00
10
00
00
01
10
00
10
10
01
10
10
00
00
00
01
11
11
11
11
10
11
10
10
11
00
00
11
00
10
10
10
01
00
11
11
10
11
01
10
10
01
00
11
11
01
00
11
11
10
01
10
00
01
10
10
00
00
10
10
11
10
10
11
10
00
00
00
10
11
00
01
10
01
00
00
10
11
10
10
00
01
00
01
00
11
11
00
00
01
10
10
00
00
00
00
11
10
10
10
10
00
01
01
00
00
10
01
00
01
11
01
00
10
10
11
01
00
01
10
01
11
00
10
10
00
01
10
00
00
00
01
00
00
10
10
01
00
10
11
10
10
10
00
00
10
10
10
10
11
11
01
00
00
11
00
01
10
00
10
00
00
10
10
00
00
10
00
10
00
01
00
00
10
10
11
00
00
10
00
10
11
11
10
10
01
00
10
00
11
00
11
00
00
10
00
01
10
10
00
11
10
01
10
00
10
11
00
00
01
00
10
00
00
10
00
11
01
01
11
10
10
00
10
00
01
10
10
10
10
00
00
10
10
01
10
00
00
10
10
01
00
10
10
01
10
11
10
10
00
00
01
10
01
00
10
10
00
00
11
11
01
01
01
01
00
11
10
11
00
00
10
11
00
00
10
10
10
01
01
01
10
10
00
01
00
00
10
10
01
00
11
10
01
00
00
00
10
01
00
00
11
00
10
10
00
00
11
10
11
11
10
11
00
10
10
00
00
00
00
10
11
00
11
00
00
01
10
01
10
10
10
00
01
00
01
00
00
11
10
10
00
10
11
10
10
11
00
10
00
01
01
10
01
00
10
10
01
00
10
01
01
10
10
00
01
01
10
00
10
10
10
10
10
00
11
00
00
00
00
10
11
11
00
11
01
00
00
00
10
00
10
10
01
00
11
01
10
10
10
10
01
00
10
10
00
00
01
01
10
10
01
01
00
11
01
10
10
10
11
00
01
00
00
00
00
10
11
10
10
11
00
00
11
11
00
00
11
00
10
00
00
10
10
11
00
00
00
00
10
10
01
10
00
01
01
11
11
11
10
00
10
00
01
10
10
00
01
10
00
10
10
00
00
10
00
10
11
00
11
10
10
11
00
01
00
01
00
01
01
10
01
10
01
00
00
10
01
11
10
10
00
01
00
00
11
00
10
10
00
00
10
10
10
10
01
00
01
11
00
11
10
00
10
10
00
10
00
01
10
00
01
10
10
00
10
10
01
10
10
10
00
00
10
01
01
10
10
00
10
10
00
01
01
10
00
01
10
00
00
10
10
00
01
10
00
00
11
00
10
01
00
10
10
10
01
01
10
10
00
10
10
10
11
01
01
00
11
10
10
01
10
10
00
01
01
10
00
10
11
00
10
10
00
00
10
10
01
00
00
10
10
01
00
01
10
00
00
00
00
10
01
00
10
00
10
00
10
00
00
01
10
11
10
00
00
00
10
10
10
11
00
01
00
10
11
00
01
10
11
00
10
11
00
00
10
10
01
01
01
10
01
10
10
10
10
00
10
10
01
00
00
00
00
01
11
00
00
00
10
00
00
00
10
10
00
11
10
11
00
00
00
10
10
10
10
01
00
11
10
00
00
11
00
00
01
10
00
01
10
00
10
10
00
10
10
00
01
01
00
11
10
10
11
10
00
11
10
10
10
00
00
10
00
01
01
10
01
00
01
00
10
11
00
00
11
01
11
00
01
10
00
11
11
11
00
10
10
00
00
00
00
10
00
10
10
10
00
10
11
10
01
01
00
00
00
00
10
10
01
01
10
01
11
00
00
10
10
01
01
10
00
00
10
10
01
11
00
11
00
10
00
01
10
10
01
00
11
01
10
00
00
10
10
10
00
00
10
00
10
01
10
00
00
10
00
10
00
01
10
01
10
00
10
10
00
01
01
10
10
00
00
00
10
01
00
10
11
00
11
01
00
10
11
10
01
00
00
10
11
11
00
11
00
11
10
11
10
01
01
11
10
00
01
10
10
00
11
10
01
00
00
00
10
01
00
11
11
11
01
00
10
11
01
01
10
10
01
01
10
10
00
10
11
00
00
00
11
10
00
00
10
10
10
10
10
01
10
10
00
01
00
00
10
00
11
00
01
11
01
01
10
00
10
00
01
11
01
00
11
00
10
00
10
11
01
01
01
10
00
10
10
10
01
01
11
11
00
10
00
10
01
10
11
00
10
00
10
00
10
11
00
10
01
00
00
10
00
10
11
00
01
00
11
00
01
00
11
10
00
01
01
00
10
11
11
11
10
00
00
10
00
10
11
00
11
01
10
00
11
10
00
10
11
10
00
11
11
01
00
00
10
10
01
01
00
11
10
10
00
00
01
00
01
10
11
00
10
00
01
00
10
00
11
10
11
00
00
00
11
10
10
01
00
00
10
01
10
01
10
00
10
10
00
00
00
11
11
01
00
01
00
00
11
10
00
01
01
10
10
01
10
10
11
00
00
10
10
01
10
00
01
00
00
10
01
00
10
10
00
11
00
10
10
00
10
00
00
11
01
00
11
01
00
00
10
10
00
01
11
01
00
11
00
01
10
10
01
01
10
10
01
00
00
11
10
00
11
10
01
00
10
10
11
01
11
10
00
01
00
10
11
00
01
10
01
10
10
10
00
00
00
00
10
10
10
10
11
10
01
00
11
00
00
10
01
01
11
10
00
01
10
10
00
10
10
00
01
10
11
01
00
01
00
10
10
01
00
11
10
00
00
11
11
10
10
00
11
00
10
11
11
00
00
10
01
10
00
00
10
10
00
01
10
11
00
11
10
11
10
01
00
01
11
11
10
00
10
01
10
01
11
10
00
10
00
10
01
00
10
11
11
11
01
00
10
00
00
00
10
00
00
11
00
00
11
11
00
10
11
00
00
00
10
00
10
00
01
10
00
10
10
00
01
00
00
10
11
10
10
10
10
00
10
10
10
00
00
10
10
00
11
01
01
00
10
10
01
00
10
10
10
10
01
00
01
10
11
00
00
11
10
10
00
01
10
11
11
00
00
01
11
10
10
00
00
10
01
00
11
11
00
00
10
11
01
11
10
10
10
00
10
00
00
10
00
00
00
11
11
11
11
00
01
10
00
00
01
11
10
01
10
00
00
00
01
10
00
00
10
00
00
11
10
10
00
10
11
00
01
10
01
00
11
10
00
10
00
01
10
10
00
00
00
00
11
11
11
01
11
00
00
10
00
11
10
01
01
10
10
00
10
11
10
00
01
11
01
00
00
10
11
00
00
10
11
00
10
10
00
00
10
00
11
10
00
00
01
11
10
11
01
10
10
01
00
10
00
01
10
10
00
10
00
00
11
01
11
00
11
10
00
00
00
00
10
10
00
01
11
00
00
00
10
10
10
00
11
10
10
10
10
10
10
11
00
00
10
01
01
11
10
11
01
00
01
00
10
10
10
11
10
01
01
10
10
00
01
11
10
01
11
10
00
10
11
01
00
10
11
01
10
10
00
10
11
00
10
00
10
00
11
00
11
10
11
01
01
00
10
11
01
11
10
11
00
00
00
00
11
10
00
01
10
01
01
11
10
01
00
10
10
00
00
10
11
01
00
01
00
11
10
10
00
00
11
11
10
01
10
11
11
01
10
10
10
01
00
00
10
00
10
00
00
10
11
10
00
10
11
00
00
10
01
01
11
01
11
10
00
01
01
11
10
01
00
00
00
10
11
11
11
00
11
10
00
00
00
10
00
00
00
00
01
10
11
10
11
10
00
00
00
10
11
00
11
00
00
00
10
01
00
00
10
01
10
10
01
10
10
11
11
01
00
00
10
10
00
00
10
10
01
10
00
11
10
01
10
10
11
00
00
11
00
00
11
00
00
00
00
01
10
00
11
01
00
01
01
11
00
10
10
00
00
11
01
10
00
10
10
11
00
00
01
10
11
11
01
00
00
01
10
10
01
10
10
01
00
00
00
00
01
11
11
00
00
01
10
00
10
00
00
01
10
10
10
01
00
01
01
00
01
10
10
00
01
11
00
00
11
10
00
00
00
11
10
01
01
10
11
01
10
00
11
10
01
00
11
10
00
00
00
00
10
01
10
00
01
11
00
10
10
00
11
10
00
10
10
10
00
10
10
10
00
11
10
10
01
11
10
00
01
10
10
00
00
00
00
00
10
10
00
00
01
10
00
10
10
11
10
10
00
10
00
00
10
11
00
11
00
01
10
01
00
01
10
11
00
01
00
10
10
00
11
11
10
10
10
01
01
00
10
10
00
00
10
10
01
00
00
10
01
00
01
10
11
10
11
10
00
10
01
00
10
10
01
00
10
10
10
10
01
00
10
11
01
00
00
00
10
01
00
00
10
00
00
11
01
10
10
01
00
00
10
10
10
10
11
00
11
00
01
10
10
10
00
11
01
11
10
00
10
10
01
01
11
11
00
01
01
10
01
00
11
10
01
00
01
11
11
01
10
11
00
11
00
10
10
00
11
11
10
01
00
10
00
10
00
00
10
11
10
10
01
00
00
01
10
10
01
01
00
01
01
10
00
11
11
01
00
11
00
01
00
11
00
01
10
00
10
11
00
10
11
00
01
11
01
00
00
11
10
01
00
11
10
00
00
11
10
11
00
11
11
00
11
00
00
11
10
00
10
11
01
00
10
10
10
11
01
00
10
00
00
11
00
00
11
11
00
01
00
10
10
00
00
11
00
01
11
00
11
01
11
00
10
10
10
10
01
00
10
11
10
11
10
01
00
00
01
11
11
01
10
10
00
00
11
00
10
10
10
00
00
00
10
00
00
00
01
00
01
00
10
01
11
00
10
10
01
10
10
00
00
11
11
10
01
11
10
11
11
00
01
10
10
00
10
10
00
10
10
10
10
10
01
10
00
00
00
10
00
11
10
11
00
00
01
10
00
10
11
11
00
00
11
10
00
01
00
01
10
01
11
11
00
10
01
01
00
01
00
10
00
10
10
00
10
00
00
10
10
01
11
01
00
01
10
11
10
11
00
00
00
10
00
00
11
00
00
01
01
11
10
01
10
10
10
11
00
01
10
10
10
11
10
11
00
01
00
10
10
00
10
10
11
00
00
11
00
00
10
00
10
11
01
10
00
00
10
10
10
10
00
10
11
10
10
10
11
01
00
11
00
01
00
10
11
10
10
00
10
10
01
10
00
10
10
00
10
01
00
10
00
00
10
00
10
10
10
10
10
00
00
00
11
10
00
00
10
10
11
10
11
01
00
01
10
10
01
00
01
00
10
10
00
00
00
00
10
00
00
01
11
11
00
11
00
00
00
11
00
01
01
00
10
10
00
00
10
01
10
00
11
11
01
11
01
10
10
00
00
00
10
10
01
00
10
01
11
10
00
10
00
10
10
00
10
10
10
01
00
10
10
11
10
10
10
01
01
11
01
11
10
00
00
10
10
11
10
00
00
10
10
10
00
01
10
10
10
10
01
10
00
11
00
01
00
10
11
00
10
01
10
10
10
10
01
01
11
00
00
10
01
10
01
11
10
01
01
10
10
10
00
00
11
10
10
01
01
01
10
11
10
10
00
01
00
10
11
01
00
01
00
10
10
00
01
00
10
10
01
10
11
00
10
00
01
10
10
00
00
10
00
00
00
10
00
10
10
10
10
11
11
00
00
00
01
11
10
00
10
10
01
01
00
11
11
00
10
00
10
10
00
00
00
10
10
10
10
01
00
10
10
01
10
10
01
00
10
10
10
10
01
00
11
10
11
10
10
00
01
10
10
01
00
00
11
01
00
10
10
00
01
10
10
00
00
00
00
00
10
00
11
10
10
10
00
10
10
01
00
10
00
00
10
00
00
11
10
10
11
10
00
11
00
01
10
10
01
01
11
00
00
10
00
00
10
00
11
01
10
11
10
01
01
10
10
00
10
10
00
00
10
11
00
00
11
10
10
10
00
00
00
00
11
11
10
11
10
10
00
01
10
00
01
10
11
00
10
00
00
10
01
11
11
10
01
10
11
01
11
00
00
10
10
10
01
11
00
00
00
01
11
01
10
00
01
10
10
10
01
11
11
00
00
01
10
00
10
11
01
11
01
11
11
00
10
00
10
00
10
10
00
01
10
10
10
10
10
11
00
00
00
00
00
01
00
10
11
00
11
10
10
10
01
01
00
10
10
10
11
01
11
11
01
11
00
00
00
01
00
10
10
00
10
10
10
11
10
00
11
00
00
00
00
00
00
00
11
11
10
11
10
10
01
10
10
00
10
10
10
00
00
00
11
10
00
10
10
10
01
00
11
10
10
00
00
00
11
10
01
10
01
10
11
01
01
00
10
00
01
10
10
10
00
00
10
00
10
00
10
10
01
11
01
01
11
00
11
10
01
00
10
10
10
10
00
00
10
10
10
10
01
10
11
01
00
10
00
00
00
10
10
01
00
10
10
11
00
00
10
10
11
10
00
01
10
01
10
00
00
00
11
11
00
11
11
01
01
11
00
10
10
01
11
10
00
00
00
00
10
00
11
10
01
10
01
10
00
00
10
10
00
10
00
11
10
10
10
10
00
00
10
10
01
00
10
00
10
01
00
10
10
00
00
00
00
11
01
10
00
11
01
10
10
10
10
00
00
10
10
11
00
11
11
10
01
10
01
01
01
01
10
11
00
01
00
10
10
00
11
10
00
00
00
11
01
00
00
00
10
10
10
00
10
00
11
00
01
00
11
00
10
00
11
01
00
00
10
10
00
10
10
00
10
10
10
10
10
01
00
00
00
01
00
11
10
10
01
00
01
11
10
00
00
11
10
01
00
01
10
10
11
10
10
00
11
10
01
01
00
00
00
00
10
10
10
01
00
11
11
10
11
11
01
00
01
01
11
00
01
01
11
10
10
11
10
00
01
01
01
10
01
11
10
10
10
01
00
00
01
10
00
11
00
01
00
01
10
00
01
01
10
10
10
00
01
10
10
10
11
01
11
00
01
01
10
10
10
00
00
11
10
10
01
00
10
11
10
01
00
10
11
01
11
11
00
10
00
01
10
00
00
10
10
10
01
00
11
00
10
01
00
10
00
10
10
11
11
00
11
00
00
10
00
01
11
00
00
10
01
01
00
10
00
00
01
10
11
10
10
11
10
11
00
00
01
00
01
10
01
00
10
00
00
01
00
00
10
01
10
00
00
10
11
10
10
00
00
00
10
00
10
11
00
10
10
01
10
00
11
10
11
10
01
00
00
00
00
10
11
00
01
10
01
10
10
11
00
01
00
10
01
01
11
01
10
10
00
10
10
10
00
00
00
01
01
01
10
00
01
11
00
10
10
00
10
10
00
10
00
01
10
10
11
01
11
10
11
11
01
00
00
00
10
00
00
10
10
00
00
10
01
00
01
00
11
01
00
10
10
01
01
00
10
11
10
11
00
11
11
10
11
00
01
11
00
00
10
10
00
00
10
10
10
01
10
00
00
00
01
00
00
10
10
01
11
10
00
11
11
01
10
01
01
10
01
10
11
00
00
10
00
00
11
01
10
00
10
10
11
10
01
01
01
10
10
01
10
01
00
11
00
00
01
11
11
00
01
11
10
00
10
00
10
11
01
11
11
10
00
00
11
11
00
00
00
00
10
01
10
10
11
00
00
10
11
01
00
10
00
10
11
00
10
10
01
10
10
00
11
00
11
01
01
01
10
00
00
11
10
01
10
00
10
11
00
01
10
10
10
10
10
00
10
11
00
00
00
10
01
01
00
11
10
10
00
00
11
01
00
11
11
01
00
00
10
00
01
10
10
01
00
10
10
11
00
11
10
00
00
11
10
10
10
00
01
11
10
10
11
00
01
00
00
11
11
01
00
10
11
10
10
00
11
10
10
11
01
00
10
10
00
10
10
10
10
10
00
00
10
11
11
00
00
10
00
01
10
10
00
00
01
00
10
10
10
10
11
10
00
00
10
00
10
01
10
01
00
11
10
10
00
00
10
00
11
10
00
10
00
10
01
00
10
10
10
10
00
00
10
10
10
10
01
10
10
00
01
10
01
01
10
00
10
00
10
01
00
11
10
00
11
01
00
00
10
10
00
00
11
01
00
10
01
00
00
01
10
10
10
00
00
10
01
00
11
10
11
01
10
10
00
11
00
01
10
10
10
00
11
01
01
00
10
10
10
10
00
10
10
11
00
00
11
10
01
01
00
10
11
10
00
00
00
10
10
01
00
00
10
10
01
00
11
10
01
00
10
01
10
10
10
11
00
10
10
00
00
00
10
11
00
11
00
00
00
00
11
10
10
01
00
10
01
10
00
00
11
10
00
01
10
00
00
10
11
00
00
10
10
00
01
00
10
01
00
00
10
01
00
10
00
10
10
01
01
11
00
11
00
00
11
10
11
01
11
11
10
11
10
11
00
11
11
01
00
11
10
10
01
00
00
00
00
10
10
11
01
00
00
00
00
10
01
10
11
11
00
01
10
00
00
10
10
01
11
11
01
10
10
01
10
10
10
00
01
10
10
10
10
00
01
00
11
10
00
10
01
10
01
00
01
10
01
01
10
10
01
00
10
00
00
00
11
10
11
10
00
10
10
11
11
00
00
01
00
10
01
00
11
01
00
10
10
01
00
00
11
00
01
10
10
10
00
10
10
00
01
00
10
00
01
11
01
10
10
10
00
10
10
10
00
01
10
10
10
11
00
00
11
00
10
00
10
11
10
00
00
00
01
00
10
10
10
00
00
00
10
00
00
10
01
00
11
11
11
11
01
11
10
10
00
10
10
01
10
11
00
10
01
00
11
00
10
11
01
00
00
00
11
11
01
00
00
00
00
11
10
00
10
10
11
10
00
00
10
00
00
10
11
00
11
00
01
00
10
10
01
00
10
10
00
10
10
10
00
10
01
11
00
10
00
00
11
11
01
10
01
10
10
10
11
00
01
11
10
00
10
00
00
00
10
00
00
00
11
11
10
11
01
00
01
01
01
00
11
10
10
01
11
11
01
00
00
00
11
10
00
01
00
00
11
01
10
00
00
10
10
11
10
00
10
00
00
10
10
00
11
00
01
10
01
10
11
10
10
10
00
01
10
11
10
00
01
10
00
10
11
11
00
11
00
00
11
11
00
10
10
01
00
00
10
01
00
10
10
10
11
11
10
00
01
10
10
01
01
10
10
01
10
01
01
10
01
00
00
00
10
10
11
00
00
00
10
10
11
11
01
00
10
00
00
01
11
10
01
00
01
10
01
00
00
00
10
10
00
11
10
00
01
00
10
00
00
00
10
11
01
00
10
10
10
10
10
00
01
01
10
00
10
00
11
00
10
10
01
01
10
00
10
11
11
10
01
00
00
00
00
00
11
01
01
11
10
11
01
01
10
00
00
01
11
11
11
00
00
01
00
11
10
00
01
10
01
11
10
10
00
01
10
00
11
10
01
10
10
00
10
00
10
10
01
10
11
10
11
00
10
11
10
00
00
01
11
01
00
00
01
10
00
01
10
10
00
00
10
00
11
11
00
00
10
10
00
00
01
10
00
01
00
10
10
00
01
10
10
00
01
11
00
00
00
10
10
00
00
11
10
00
11
10
10
01
11
01
11
10
00
00
10
10
11
00
10
00
10
10
11
10
01
10
00
10
00
01
01
00
11
10
11
11
11
10
00
01
01
00
00
00
10
11
10
00
00
00
11
10
11
10
10
10
01
00
11
00
10
10
01
11
00
01
10
00
00
11
01
00
10
11
01
01
00
11
00
01
10
10
01
00
11
10
10
00
11
00
01
00
10
11
00
01
00
01
11
00
00
10
11
01
00
10
00
00
11
00
00
10
10
00
01
00
00
00
10
01
00
00
10
11
11
00
10
00
11
00
00
11
11
00
10
00
11
10
10
01
10
01
00
10
10
01
10
11
10
01
00
01
10
10
00
00
10
11
00
00
00
10
11
10
00
10
10
00
00
11
00
10
10
01
10
11
10
00
10
10
10
00
00
10
01
01
01
11
10
00
00
10
10
01
00
00
00
00
00
00
11
10
11
01
10
00
10
00
10
11
01
00
00
10
00
00
11
00
11
10
00
11
00
00
00
11
11
00
10
10
00
00
01
10
10
00
00
11
01
00
00
10
11
01
00
01
11
10
00
01
01
10
10
10
10
00
00
00
00
10
11
10
01
10
00
10
01
00
10
00
00
11
10
00
10
10
00
11
10
01
10
11
11
00
01
10
10
00
00
10
00
01
10
10
01
01
11
10
10
00
00
11
00
10
11
11
11
00
00
10
11
11
11
00
10
11
00
10
00
00
10
10
00
10
10
10
01
01
11
10
00
10
11
00
00
01
00
10
10
10
01
10
00
01
00
00
10
11
11
00
00
11
11
01
11
10
00
10
10
00
01
10
11
11
11
10
10
10
10
00
11
01
00
11
10
11
01
00
00
00
00
11
11
01
00
11
01
01
00
10
10
00
00
10
01
01
10
01
10
10
11
00
10
11
00
00
00
00
00
11
01
10
10
01
01
11
11
01
11
00
10
10
11
00
00
01
01
10
10
01
00
11
10
00
10
00
10
10
00
00
00
11
10
00
01
10
11
00
10
00
10
10
00
10
10
00
00
10
10
11
11
01
00
01
00
00
11
11
10
10
10
11
00
01
10
10
10
00
01
11
11
00
01
10
11
01
00
00
11
00
10
00
00
10
01
10
01
10
11
00
01
11
10
00
00
00
10
00
01
10
10
10
00
00
01
10
00
10
10
00
00
10
01
00
10
10
00
00
00
10
10
10
11
00
01
00
10
00
11
10
00
10
10
01
10
00
00
10
00
00
01
10
10
00
00
01
10
00
10
00
11
11
10
01
10
00
01
11
00
00
11
10
10
10
10
00
00
00
00
10
10
10
10
10
01
10
10
01
10
10
00
01
10
10
11
00
00
11
10
00
10
00
00
01
10
11
00
00
00
11
10
00
11
00
11
00
10
11
01
00
00
01
11
10
00
01
01
00
00
10
10
11
01
11
10
00
10
11
11
00
11
10
01
00
00
00
00
01
10
10
00
11
10
01
10
00
00
00
10
00
00
10
00
10
10
00
00
00
11
11
00
10
01
00
10
00
01
10
11
00
00
10
10
10
10
00
01
01
10
00
01
00
10
00
11
10
10
00
00
00
10
00
11
10
10
11
00
10
10
00
01
00
10
10
00
01
10
00
01
01
10
00
11
10
00
10
11
01
10
10
10
01
11
01
00
00
00
11
10
10
00
01
00
00
10
00
01
10
10
00
10
01
10
10
10
10
00
10
10
10
00
00
10
00
01
00
00
11
00
10
00
10
10
01
00
00
10
10
10
00
10
10
01
01
00
01
00
11
10
11
00
00
11
10
00
00
10
10
10
10
10
00
00
00
00
10
10
11
00
01
00
00
10
11
00
10
10
01
01
10
10
01
10
01
11
01
11
11
10
00
00
10
11
00
00
00
00
11
10
11
00
11
00
00
10
10
00
00
00
11
00
01
10
10
10
01
00
10
00
00
00
10
10
00
10
10
11
00
11
00
00
00
10
11
00
10
00
11
10
01
11
00
00
01
00
11
00
10
10
00
10
11
00
11
00
01
11
10
10
10
10
00
10
01
11
01
11
11
00
00
00
00
10
10
00
00
11
11
11
11
10
11
10
00
10
01
00
10
01
00
10
00
00
10
00
11
01
11
00
00
10
00
10
00
00
10
01
10
10
10
10
01
00
00
10
10
00
00
11
00
10
00
00
10
11
10
10
00
00
11
00
00
01
10
11
11
10
00
00
11
11
11
00
11
10
00
10
10
00
00
01
11
11
00
11
10
11
01
00
00
10
10
01
10
11
01
01
00
10
10
00
10
00
00
10
10
00
01
10
11
10
11
00
11
00
01
01
00
10
10
01
10
00
00
00
01
10
01
10
10
01
00
00
11
10
00
10
01
00
01
10
11
11
00
10
11
01
11
10
00
00
01
00
11
10
01
00
11
10
00
10
01
01
10
10
00
10
10
10
10
01
00
10
00
10
00
10
00
00
11
10
11
11
11
11
00
00
10
01
00
10
11
01
01
00
10
11
00
00
10
10
00
00
01
10
10
00
00
01
00
10
10
11
10
11
10
00
00
00
00
11
10
00
10
00
10
10
00
10
10
00
00
11
00
01
00
00
01
10
00
10
00
00
10
10
10
11
11
11
01
11
10
10
00
10
10
10
00
00
10
00
10
01
01
01
11
10
11
00
01
10
11
01
00
10
00
10
10
10
00
00
10
00
10
01
10
11
01
11
00
10
00
10
10
00
11
10
00
10
11
01
00
00
00
00
10
01
00
00
10
10
00
10
11
00
10
10
10
10
11
11
00
01
00
00
00
00
10
10
00
10
10
10
10
00
10
11
00
01
11
10
01
11
11
00
01
10
10
10
00
00
10
00
01
10
01
11
01
10
11
01
10
11
01
10
10
00
00
10
00
00
10
10
00
00
10
10
11
10
00
01
10
00
00
11
11
11
00
00
10
10
00
01
11
01
10
01
00
10
01
00
11
00
10
11
00
11
10
00
11
00
00
10
01
00
10
10
11
00
10
01
00
10
10
00
00
00
00
10
10
10
00
00
11
00
00
00
01
11
10
01
11
11
00
10
01
01
00
11
00
01
11
11
10
00
11
10
11
01
00
11
10
01
11
00
01
10
01
00
10
10
00
01
11
10
10
10
01
00
00
00
00
10
10
00
10
01
00
11
11
10
00
11
00
01
00
10
00
10
00
10
00
00
00
10
11
01
10
10
00
10
10
00
00
10
10
11
01
01
11
10
00
10
10
00
00
10
00
10
00
10
11
01
00
00
10
10
00
01
00
00
10
00
01
10
10
11
10
00
11
00
00
00
10
11
00
00
10
10
00
00
00
00
01
10
10
10
10
00
01
10
01
10
01
10
10
10
01
01
10
00
00
01
11
10
10
11
10
11
10
00
00
11
00
01
10
10
00
01
10
00
01
10
01
00
01
10
00
01
10
10
00
11
10
00
00
00
10
11
01
00
01
10
00
10
11
00
11
10
10
10
01
10
01
01
11
01
10
00
10
10
10
01
00
11
11
01
00
10
10
00
10
01
00
11
10
10
01
00
00
00
00
10
01
11
10
10
10
10
11
10
00
00
10
11
00
10
10
00
00
00
00
00
10
10
00
01
11
00
10
01
10
00
10
00
00
00
10
00
10
00
00
00
10
11
00
01
11
11
01
01
01
10
01
01
00
11
11
00
10
10
00
00
00
11
11
10
10
11
00
11
10
00
10
10
00
01
01
01
01
11
10
10
00
10
10
00
00
10
10
01
00
10
00
11
10
11
00
10
01
00
11
01
00
10
11
10
00
10
10
00
11
00
00
10
00
00
10
10
11
10
10
01
10
01
10
11
00
00
00
11
00
10
00
00
00
10
00
10
11
01
00
00
00
10
01
10
11
10
10
00
10
00
11
01
00
00
11
10
00
10
00
00
00
00
11
01
10
00
10
10
10
10
01
11
00
00
10
10
00
11
00
01
10
01
01
00
10
00
10
10
01
00
01
10
10
10
10
01
00
11
10
11
00
10
01
00
11
11
11
00
01
11
10
11
00
00
10
00
00
10
00
01
01
00
11
11
11
00
01
10
00
10
11
00
01
00
10
00
10
11
01
10
10
00
00
00
10
10
11
11
00
11
00
10
01
01
11
00
00
10
01
00
01
10
11
00
10
00
01
00
10
11
01
01
11
11
10
10
11
00
10
10
01
00
00
00
01
00
10
10
11
11
10
00
10
00
00
00
00
10
00
00
11
11
11
10
00
11
10
00
00
00
10
10
10
00
00
10
00
10
10
10
00
01
10
00
00
00
10
11
10
00
01
00
11
11
00
10
11
01
01
10
01
01
00
01
10
10
00
10
11
00
10
01
10
10
00
00
00
10
11
00
00
01
00
11
01
10
00
00
10
11
10
00
00
00
10
10
10
00
10
10
11
00
10
10
00
10
00
10
00
10
00
01
10
11
00
10
00
00
00
11
00
10
11
00
00
11
10
11
00
01
10
10
01
10
01
00
00
10
00
00
10
10
01
10
00
00
10
00
01
10
00
10
10
01
00
00
10
01
10
00
00
11
10
11
00
00
11
10
11
00
00
10
10
00
00
10
11
10
00
00
10
10
10
00
11
10
11
10
00
00
10
10
00
00
10
00
00
11
00
11
10
01
00
10
00
00
00
11
00
00
10
00
11
00
01
11
11
00
00
10
00
10
10
10
00
00
11
00
00
00
10
01
00
10
10
10
10
00
11
11
00
00
11
00
01
10
10
01
10
11
00
11
11
01
10
00
00
10
10
10
01
00
00
10
10
01
01
11
00
01
01
10
01
10
10
00
01
01
10
00
00
00
10
00
00
11
00
00
01
00
01
10
00
10
10
01
10
00
01
10
10
10
01
00
11
10
00
11
10
00
01
01
11
10
01
00
00
01
00
00
10
10
00
10
10
10
11
11
01
10
10
00
01
11
10
01
01
10
00
10
00
11
01
01
11
10
10
00
00
01
00
10
10
10
00
11
00
00
11
11
00
01
11
11
00
01
00
10
10
00
00
00
10
11
01
10
10
00
00
10
00
00
11
00
10
10
10
01
00
10
00
11
00
00
11
00
11
01
10
10
00
00
10
10
00
01
10
01
00
11
00
01
01
00
10
10
10
00
01
00
00
01
10
00
11
10
11
00
00
10
11
10
01
00
10
00
00
11
00
01
10
00
00
01
10
01
11
11
01
00
10
00
00
11
00
00
10
00
10
00
00
11
00
01
10
10
10
11
11
00
00
11
00
00
01
00
11
10
10
00
10
00
00
00
10
11
01
00
11
10
10
11
10
00
00
10
10
11
10
00
00
10
00
01
01
10
10
00
01
00
10
00
11
10
00
10
01
10
01
00
00
10
00
01
11
10
00
01
11
11
11
11
00
11
00
01
00
00
10
10
11
01
00
11
00
10
10
00
10
10
00
01
10
00
10
10
10
00
10
01
01
10
10
10
10
11
01
00
10
10
00
00
11
10
00
00
10
00
01
10
10
01
01
10
10
11
01
10
11
00
10
10
00
01
11
01
10
00
00
11
00
00
11
10
01
00
10
00
10
10
00
01
01
10
01
11
10
01
01
01
11
10
00
00
10
11
00
00
10
00
10
00
10
11
10
00
10
00
01
00
11
10
10
10
10
00
10
11
00
00
10
10
00
00
00
10
00
00
00
10
11
01
00
10
11
00
11
10
00
01
00
10
10
11
00
00
10
00
00
00
11
10
00
11
00
00
11
11
10
10
11
00
01
10
11
01
01
10
00
00
00
00
10
00
01
00
00
10
00
10
01
01
10
10
10
01
10
00
00
10
11
10
00
00
11
10
10
01
11
10
01
10
01
00
00
10
10
10
01
01
10
10
11
01
11
10
01
01
00
11
10
10
00
01
11
01
01
10
10
10
01
00
10
11
00
01
00
00
10
10
00
00
00
10
11
01
00
11
00
11
10
00
00
10
11
00
00
11
00
10
00
00
00
10
10
00
01
01
10
11
00
00
10
00
10
00
10
11
00
00
10
11
10
01
00
00
10
10
11
00
10
10
10
00
00
01
11
11
00
01
00
01
00
10
10
01
01
10
10
00
01
10
11
01
00
10
11
01
10
01
00
00
00
11
10
00
11
00
00
11
00
10
00
00
00
00
11
10
10
11
10
00
00
01
10
10
00
10
00
01
10
11
00
00
00
01
10
00
00
10
10
00
00
00
00
11
10
00
10
01
01
00
10
10
11
00
10
00
00
11
11
01
01
11
10
10
01
00
11
11
01
00
00
11
11
10
01
00
00
00
10
11
10
01
00
00
01
00
00
10
00
10
10
00
00
01
00
01
10
00
10
00
01
10
10
11
10
00
01
11
00
10
00
01
00
00
00
11
00
01
10
01
00
01
10
01
01
11
10
00
00
10
00
00
00
11
10
00
11
10
00
11
00
11
00
10
10
01
00
00
10
10
00
01
01
00
00
11
10
01
00
10
11
01
11
10
00
00
01
00
01
10
00
00
00
00
00
00
11
11
00
01
10
00
00
00
00
10
00
00
00
10
10
10
10
10
10
10
00
00
00
00
01
10
00
10
11
10
11
11
00
01
01
00
10
11
00
01
00
10
10
10
10
00
01
11
11
00
01
00
11
10
11
10
01
00
10
00
11
01
01
10
00
00
00
01
01
10
11
00
10
10
11
00
00
10
11
11
01
01
10
10
10
11
00
11
00
00
11
10
10
10
00
00
00
00
00
10
10
01
00
10
11
01
10
01
11
10
10
10
10
11
10
01
00
00
00
10
10
00
10
10
00
10
01
11
01
00
10
11
00
11
11
10
01
00
10
10
10
00
01
10
00
11
00
00
11
10
10
01
00
00
11
10
10
10
10
00
01
10
11
10
00
00
00
00
10
11
01
10
11
00
11
10
10
10
01
10
10
11
00
00
00
00
01
00
11
00
10
10
11
10
00
11
11
00
00
00
11
00
01
00
10
00
10
01
10
10
00
10
11
00
10
00
00
10
11
00
00
01
00
10
10
00
10
00
10
11
11
01
00
01
10
00
10
11
11
00
11
10
00
00
11
00
01
11
10
11
01
10
11
00
01
10
00
10
00
11
10
11
01
00
10
00
10
00
00
10
10
10
00
10
10
00
01
00
10
00
00
10
00
00
01
00
01
01
00
10
01
11
01
11
10
01
01
10
01
00
11
00
00
11
01
11
10
10
00
10
11
01
10
10
01
11
11
11
00
00
00
01
11
11
01
00
00
11
00
01
11
11
01
11
10
00
10
10
00
11
10
00
01
00
00
01
11
10
00
11
11
11
10
00
00
01
00
00
10
10
10
01
00
10
10
00
11
11
00
00
00
01
11
10
00
00
11
00
00
10
00
10
10
10
00
01
11
00
00
00
00
10
00
01
10
00
10
10
00
00
00
10
10
00
10
10
10
00
01
00
10
00
00
10
10
10
00
10
10
11
00
00
10
00
00
00
11
00
11
11
11
01
00
11
10
00
11
01
00
11
00
01
10
01
00
10
00
11
10
11
10
00
00
00
00
10
00
00
00
00
00
00
10
00
01
10
00
01
11
10
00
10
00
00
10
10
10
00
11
10
11
00
00
10
10
01
11
10
00
10
11
00
11
10
01
00
10
10
10
10
11
00
01
10
01
11
11
10
01
00
01
01
10
10
11
10
00
00
10
11
10
00
00
10
01
00
01
10
11
10
00
01
10
11
01
11
11
11
00
10
10
01
00
10
01
00
00
10
00
01
11
01
10
10
10
00
00
00
00
10
00
11
01
10
10
10
00
10
01
00
01
10
10
10
01
00
11
00
00
00
00
01
00
00
11
10
01
11
10
10
01
11
10
01
01
01
00
11
00
00
00
11
10
00
10
00
00
00
00
10
10
10
10
01
01
00
10
11
00
01
10
00
10
10
10
00
10
10
00
00
00
11
10
10
00
10
11
11
10
11
00
00
00
00
10
01
01
10
00
10
01
01
00
00
00
00
01
00
11
10
10
01
11
10
10
10
00
11
00
01
10
10
01
10
00
11
11
01
01
00
00
01
00
10
10
00
00
10
00
01
00
11
10
00
10
01
10
10
00
10
10
11
10
10
01
11
11
10
10
00
11
00
10
11
00
00
10
00
00
00
10
00
00
10
10
10
10
10
01
01
10
10
10
00
00
00
01
10
11
10
01
10
11
10
01
00
11
01
00
00
11
10
11
00
10
00
10
10
00
10
10
11
01
00
00
10
11
00
00
00
10
01
11
11
11
00
00
01
01
10
00
00
11
10
11
10
11
10
01
00
11
11
00
00
01
00
10
01
01
00
01
00
00
10
01
10
01
00
11
00
10
11
10
00
00
11
10
00
11
01
10
10
00
00
10
10
01
00
00
01
11
11
01
11
11
11
11
00
11
00
00
00
10
11
00
01
10
10
10
11
10
10
00
00
11
10
10
00
01
01
00
01
11
10
11
01
11
01
10
11
10
01
10
10
00
00
00
11
00
00
00
11
00
11
10
10
00
00
11
00
01
10
00
00
10
00
10
11
01
11
10
00
10
00
10
01
10
10
01
00
00
10
10
01
00
00
10
11
00
10
01
10
10
00
11
10
01
11
11
01
11
00
00
11
10
10
10
00
01
11
10
00
00
11
01
00
11
00
00
10
10
10
01
10
10
10
00
00
01
00
01
00
10
00
00
00
10
11
00
11
10
01
10
10
00
00
01
10
00
01
10
11
10
00
01
01
10
10
11
00
10
11
10
00
01
01
01
00
00
10
10
10
11
01
11
10
00
00
00
01
10
11
00
11
00
11
10
01
10
00
00
10
11
10
11
10
00
00
11
10
00
00
10
00
11
00
10
01
01
10
10
00
00
10
01
10
10
00
00
10
10
11
10
01
00
00
11
11
01
00
00
11
10
00
11
10
01
01
01
11
00
00
01
00
11
00
00
10
01
00
10
11
00
10
00
10
10
11
00
00
01
00
11
01
00
10
01
00
10
10
01
00
11
10
10
01
10
11
10
10
01
00
10
10
01
01
00
10
01
10
00
00
00
00
11
01
00
10
01
00
10
11
10
10
00
10
00
10
10
00
00
10
10
10
00
00
00
10
00
00
11
01
01
10
01
11
10
11
10
10
00
00
10
01
00
00
00
10
01
11
10
10
01
00
10
11
00
00
00
01
11
11
10
00
00
10
00
00
00
10
10
00
10
10
00
00
10
00
10
01
01
10
10
00
10
01
00
00
10
10
01
10
10
11
10
11
11
00
10
11
00
01
11
10
00
01
10
11
00
11
00
00
10
10
10
01
00
11
11
10
00
11
11
10
10
00
01
00
01
00
10
00
00
01
10
00
00
10
10
10
01
10
10
00
00
10
10
01
01
00
10
11
00
00
00
00
10
01
10
10
11
10
00
11
11
00
00
10
11
00
00
00
11
00
10
10
11
01
10
11
01
10
10
00
10
00
11
10
00
00
11
11
00
00
00
11
10
10
10
11
00
10
01
00
01
01
00
10
00
01
10
11
10
01
10
10
10
00
00
00
00
00
11
10
00
00
10
10
11
10
10
00
00
11
11
01
01
10
10
00
10
00
01
11
10
10
00
00
10
00
10
11
00
10
01
00
10
10
00
00
00
00
10
01
00
11
00
01
11
11
00
10
00
01
01
01
01
10
10
00
10
00
00
10
11
11
01
01
01
10
00
11
10
11
01
10
00
11
10
10
10
01
00
00
10
11
00
01
11
10
11
10
11
01
01
10
11
00
01
01
10
10
01
10
11
10
00
01
01
01
10
10
00
11
10
01
00
11
10
10
10
11
00
00
10
11
00
00
10
10
10
00
00
01
10
00
01
01
10
01
01
11
01
10
00
01
01
10
10
00
01
11
10
11
00
01
01
10
11
10
00
00
00
11
10
00
00
00
10
10
00
00
01
10
10
10
10
00
00
00
10
00
10
10
10
10
11
10
00
10
00
11
00
00
00
11
10
10
01
00
11
00
00
11
10
11
00
01
00
00
10
00
11
10
10
01
00
00
00
00
10
10
00
01
11
10
11
11
01
00
10
10
00
10
00
01
10
01
10
11
11
00
00
01
00
10
10
11
00
00
01
10
01
00
10
00
11
11
00
01
01
01
10
10
11
00
11
10
00
00
11
00
00
10
10
10
01
10
10
10
00
10
01
00
11
10
00
01
00
11
11
11
01
11
00
10
00
01
11
11
00
01
00
10
10
11
00
01
10
10
10
10
00
00
11
01
10
10
01
11
01
10
11
00
00
10
11
00
00
11
10
10
10
01
01
00
10
10
10
01
11
01
00
10
11
10
10
01
10
01
00
10
10
11
00
10
00
10
10
00
01
00
00
10
11
10
10
11
10
01
00
10
00
11
10
10
00
00
00
10
00
01
11
00
00
01
00
01
10
10
10
01
01
10
11
00
10
10
00
00
01
10
11
10
10
00
00
00
01
11
11
11
10
01
11
00
01
10
10
00
00
10
01
00
10
00
00
10
10
00
01
11
10
10
00
00
00
00
11
10
10
00
00
00
00
01
00
01
10
10
10
00
11
10
00
00
10
11
10
10
00
00
00
10
00
11
00
10
10
01
11
00
01
01
10
00
00
01
01
11
10
11
00
11
10
00
10
10
10
00
01
11
00
10
01
10
01
11
00
00
00
01
10
00
00
00
10
11
10
10
01
00
10
10
00
11
00
00
00
01
10
11
11
00
00
00
11
00
01
10
11
10
10
10
00
00
10
11
10
00
10
10
10
00
00
10
00
11
01
10
01
00
00
00
11
10
11
00
10
01
00
01
10
10
01
10
10
01
00
10
11
00
10
10
11
00
01
10
10
10
10
00
11
01
11
10
11
00
10
01
01
10
10
10
00
00
00
00
10
00
01
10
01
01
11
10
11
00
00
01
11
10
11
00
00
00
00
10
10
10
00
01
00
00
11
10
10
00
10
01
00
01
01
10
10
10
01
00
01
11
00
10
10
00
10
10
00
01
11
11
00
10
10
11
11
00
00
11
01
00
00
11
11
01
00
01
10
11
00
00
10
10
10
10
11
00
10
01
10
10
01
01
10
10
01
00
10
01
11
10
00
00
00
10
01
10
00
01
11
11
00
10
10
01
00
11
00
10
01
11
00
10
10
00
00
00
00
10
11
01
10
00
10
00
00
10
10
00
00
10
11
00
10
00
01
10
11
11
01
00
10
10
10
10
01
10
11
01
11
10
00
00
10
10
00
00
11
10
01
11
00
01
01
00
10
10
11
10
00
01
01
10
01
10
10
11
10
00
01
10
10
10
10
11
01
01
10
10
10
00
00
00
11
10
00
11
10
00
11
00
00
10
01
10
10
01
10
00
10
10
00
10
10
00
00
00
00
10
11
00
10
00
01
10
10
10
00
11
10
11
10
00
11
01
10
00
11
10
01
01
00
10
00
00
00
11
10
00
00
01
10
00
01
01
10
01
00
11
10
10
00
00
01
11
00
01
00
10
11
00
10
11
00
00
00
01
10
01
00
10
00
10
01
10
11
00
10
01
01
10
10
00
00
11
11
11
00
10
10
00
01
11
00
00
10
00
11
11
11
10
00
01
11
00
10
00
00
00
10
10
00
01
11
00
10
10
01
11
00
10
11
10
00
10
10
00
01
10
00
00
10
00
10
10
00
10
11
00
01
10
11
10
10
00
00
10
10
11
00
01
00
00
01
10
11
01
10
10
00
10
10
01
00
01
10
10
10
10
00
10
11
01
01
01
10
10
00
01
10
10
01
00
11
11
00
10
00
00
10
00
10
00
01
10
10
10
10
01
00
01
10
00
00
00
10
00
00
10
00
00
00
00
10
00
11
00
00
00
01
00
00
00
00
01
11
10
10
00
10
00
00
00
11
00
01
00
10
00
01
00
10
00
01
11
01
00
00
00
11
10
00
10
11
00
01
10
10
00
11
10
00
10
00
01
11
10
10
10
10
01
00
00
10
10
01
10
01
10
00
10
10
01
10
01
00
01
00
01
00
01
01
00
00
11
00
00
01
10
01
11
11
10
10
11
10
10
01
00
00
11
10
00
01
10
11
11
00
11
10
01
11
10
01
00
10
00
10
01
00
10
10
10
10
00
00
01
00
10
00
11
00
01
00
10
10
00
00
00
01
11
10
11
00
10
00
11
01
11
00
00
10
01
10
00
00
10
10
01
10
11
00
11
10
11
01
10
01
00
11
10
10
00
00
10
11
01
01
10
01
11
11
00
11
00
00
10
10
01
11
11
00
10
01
00
10
11
10
01
00
00
11
10
00
11
11
00
00
11
10
11
10
00
01
11
00
10
01
11
10
00
11
01
00
01
00
10
10
10
00
00
00
11
00
10
10
10
01
00
01
01
00
10
10
01
00
01
11
10
01
01
00
10
10
00
10
11
00
10
00
10
10
00
10
01
00
01
00
00
10
00
00
11
01
00
00
11
10
00
10
00
11
00
01
01
10
11
00
00
10
10
00
00
00
10
00
11
01
11
10
00
00
10
10
01
00
01
10
00
01
10
11
10
10
01
00
00
00
01
10
00
01
00
10
10
00
11
01
10
10
10
00
11
11
00
10
01
00
10
01
00
10
00
01
10
10
01
10
11
11
00
11
00
11
11
11
01
01
11
00
11
10
10
10
00
00
00
00
11
00
00
00
10
00
00
10
01
00
10
11
01
01
00
11
01
00
00
01
00
10
10
00
00
01
00
11
10
10
11
00
10
10
10
11
01
01
01
01
00
00
00
00
01
10
10
00
00
10
10
10
00
01
10
01
11
10
10
10
11
10
01
00
11
00
01
11
00
10
11
00
10
10
01
10
00
00
10
10
10
01
11
10
00
00
00
10
10
10
11
01
10
10
01
00
10
00
00
00
01
10
01
00
11
01
00
00
11
00
00
00
10
00
01
01
10
10
01
10
01
01
10
11
10
01
10
10
01
01
00
01
10
10
10
10
00
01
10
01
01
10
01
00
01
10
01
00
10
10
10
00
00
01
11
00
01
10
11
10
10
10
10
00
00
11
10
00
10
10
00
10
11
01
00
10
00
10
01
10
00
11
11
00
10
11
00
01
10
10
01
00
10
10
10
01
00
00
10
10
01
00
10
10
10
00
00
00
10
00
10
01
10
00
00
00
11
01
10
10
00
00
00
00
11
00
00
00
10
11
01
11
10
00
10
10
10
10
00
00
00
00
11
11
00
10
10
00
10
01
00
00
01
10
10
10
10
00
10
10
11
01
00
01
10
11
10
01
00
00
10
00
10
10
10
10
10
00
11
11
01
11
10
00
11
01
10
00
01
11
10
10
11
10
00
10
00
11
10
00
10
10
00
00
10
00
00
00
11
10
00
10
00
11
00
10
00
00
01
11
10
10
10
00
11
00
00
00
00
11
00
10
10
11
11
10
00
00
11
10
01
01
10
10
01
01
00
01
10
00
01
00
10
10
11
00
10
10
01
10
10
10
11
10
01
10
00
01
10
01
01
10
10
00
11
10
00
01
00
00
10
00
11
10
10
10
00
01
10
10
10
00
00
10
01
01
01
00
01
11
11
01
11
11
01
01
10
01
01
10
10
00
00
00
00
10
10
11
10
00
00
10
00
01
11
00
10
00
10
01
01
10
00
10
11
00
00
00
00
00
10
11
11
00
00
00
10
10
00
10
11
00
00
10
01
00
11
00
01
00
00
00
00
00
10
00
00
00
11
11
00
00
10
01
01
11
01
01
11
10
10
00
10
00
10
10
00
00
10
11
11
00
11
10
11
11
00
01
11
10
00
00
10
10
00
00
01
11
11
10
11
11
11
10
00
00
10
10
00
10
10
00
10
00
10
00
11
00
10
10
00
01
11
00
10
11
00
00
00
00
00
10
00
10
01
10
00
10
11
00
00
10
10
11
00
00
00
00
10
00
00
10
11
00
11
00
00
00
11
11
10
11
01
00
00
01
01
00
11
10
11
01
00
11
10
00
10
00
01
10
11
01
00
00
00
00
10
10
00
00
00
11
01
01
11
01
01
01
10
01
00
10
00
00
11
10
00
11
11
00
00
11
00
00
10
00
00
10
10
11
10
11
10
01
01
00
10
01
01
10
00
00
10
00
10
00
00
00
01
01
10
10
00
10
10
11
01
00
00
11
10
10
11
11
00
11
10
00
11
01
10
10
00
00
11
10
11
11
10
01
00
10
10
01
01
00
01
11
11
00
00
00
10
00
10
10
00
00
10
00
00
10
11
01
11
01
10
10
10
00
10
11
01
00
00
01
11
00
00
11
11
10
10
00
00
10
00
11
10
10
01
01
10
00
00
01
10
00
00
10
01
00
01
11
00
00
01
10
00
10
10
01
00
00
11
10
00
00
00
11
10
00
00
10
10
01
11
10
11
00
10
00
11
10
00
10
10
01
00
11
10
01
01
00
01
00
10
10
00
01
00
00
10
11
01
00
10
10
00
00
11
00
10
00
01
11
10
10
00
10
10
10
10
00
00
00
10
00
00
10
00
01
10
10
00
01
10
10
00
01
10
10
10
00
00
11
10
01
00
10
10
10
00
00
01
10
10
00
00
00
11
10
10
10
01
10
10
00
00
00
10
10
00
11
10
10
01
10
01
10
11
00
10
00
10
11
11
11
10
10
00
00
10
00
00
10
10
01
10
11
10
10
00
10
10
10
00
00
10
10
01
00
10
10
00
10
01
01
10
10
00
10
00
01
10
00
10
00
00
11
10
11
01
01
11
10
10
10
10
01
10
10
00
00
11
11
00
11
00
00
01
00
10
10
01
00
10
10
01
01
00
00
00
10
11
01
10
10
10
10
10
00
00
00
00
10
00
00
10
00
11
00
00
00
00
10
10
00
10
10
00
10
11
11
10
10
11
01
01
11
11
01
00
10
11
01
01
10
10
00
00
00
10
10
01
11
10
10
00
01
10
11
10
01
00
11
00
01
01
11
11
01
00
01
00
10
10
11
11
00
10
00
00
11
10
01
00
10
01
00
01
01
10
10
10
01
00
10
10
00
00
00
10
10
00
00
00
00
11
00
11
10
10
10
00
00
11
10
01
10
10
10
11
00
00
11
10
10
10
00
00
00
11
10
11
10
11
00
10
10
00
10
11
00
01
01
11
10
01
10
01
00
10
11
00
00
10
00
00
10
10
11
00
01
10
11
01
10
00
10
00
10
00
01
11
00
00
10
00
00
10
11
10
00
11
11
00
01
00
10
10
01
10
10
00
00
00
11
01
11
10
00
00
10
01
01
10
11
00
11
10
11
10
10
00
00
00
10
10
01
00
00
00
10
10
01
10
11
10
01
11
00
11
00
10
00
10
10
00
11
00
00
11
11
01
11
00
01
00
10
11
10
10
01
01
11
11
00
01
01
00
00
01
10
11
10
11
10
01
00
11
00
01
00
00
01
11
10
00
10
10
01
01
00
10
10
11
11
00
10
01
11
10
11
01
01
11
01
00
10
11
11
01
00
10
10
10
10
10
10
00
01
00
01
10
10
00
00
01
01
11
10
00
01
00
00
00
10
11
00
10
10
11
00
00
00
01
11
11
11
00
11
00
00
00
00
10
11
01
00
00
10
11
01
10
11
01
11
10
00
00
11
10
00
10
10
01
01
01
00
01
00
11
10
01
01
10
00
00
00
11
11
01
00
00
10
00
10
10
01
00
00
11
11
00
01
10
01
10
10
00
10
10
00
00
00
01
10
11
00
10
00
00
01
01
10
10
11
11
11
10
00
01
11
00
00
10
11
01
00
10
10
10
01
01
01
00
01
10
00
11
11
10
10
00
00
10
00
00
10
10
00
10
11
01
10
00
01
11
10
00
00
11
10
00
00
10
10
10
01
00
10
00
10
00
00
10
10
11
00
11
00
00
01
11
00
10
01
00
10
10
00
01
10
10
11
01
11
11
00
00
11
10
10
11
10
00
00
00
11
10
10
11
00
11
00
00
00
10
01
01
00
00
10
11
10
11
10
00
01
11
00
10
01
10
10
11
01
00
01
00
10
10
01
10
11
00
00
01
10
10
10
01
01
10
10
10
00
01
01
00
10
00
01
10
10
10
01
00
10
11
10
11
10
11
01
10
10
00
11
10
11
00
00
10
11
11
00
10
10
00
10
00
00
10
10
10
10
00
11
00
00
11
10
01
00
10
00
11
10
00
10
10
11
10
10
00
10
00
10
01
00
10
10
00
00
00
11
11
00
01
10
01
11
10
00
00
01
10
00
01
10
01
00
11
10
00
00
01
00
10
10
00
10
10
01
10
00
00
00
10
00
00
10
10
00
10
01
10
11
01
10
00
00
10
10
10
01
10
10
00
01
11
10
11
00
00
01
11
00
10
11
00
10
00
01
10
00
00
10
01
01
11
10
11
00
00
10
01
11
00
01
11
10
00
11
00
11
10
00
10
00
01
00
01
10
10
00
01
00
00
11
10
00
11
10
01
10
00
00
10
10
11
10
00
10
10
00
10
10
10
11
00
00
00
10
10
10
10
10
10
00
10
01
00
00
10
11
01
01
01
00
01
01
00
10
10
00
10
00
00
10
01
00
10
10
10
10
01
10
10
00
00
00
11
00
01
01
00
00
00
00
10
10
11
00
01
10
01
00
10
10
10
10
10
11
00
10
00
00
10
00
00
10
11
10
00
00
01
11
01
10
10
00
11
10
10
10
01
01
00
10
10
00
11
10
00
00
01
00
11
10
00
01
10
10
10
00
01
10
00
10
01
00
11
00
10
11
00
10
00
10
10
10
11
00
10
00
00
10
01
10
00
11
10
00
10
10
01
10
01
00
01
10
10
01
10
11
00
00
10
00
00
11
10
01
11
11
00
10
01
10
10
11
10
01
00
10
00
00
10
01
00
11
00
11
10
01
10
00
00
10
01
00
01
10
10
01
10
00
10
11
11
10
00
00
10
00
11
00
10
10
11
10
10
00
00
01
01
01
00
01
11
10
01
00
00
11
10
01
10
10
00
10
10
00
11
11
10
10
11
10
01
01
01
01
10
00
00
11
10
10
00
10
01
01
10
10
10
10
10
11
00
01
10
10
10
00
10
00
11
11
10
10
10
01
00
10
00
10
01
00
10
01
00
00
10
11
00
00
00
11
11
10
00
10
11
01
10
11
00
10
00
10
00
10
10
00
00
11
00
00
10
10
00
11
10
01
01
11
10
00
01
10
01
01
01
11
00
00
11
00
01
10
10
10
10
00
01
01
10
00
00
11
00
10
01
00
11
00
01
11
00
00
11
01
10
00
00
10
00
00
10
01
11
10
01
10
10
01
01
10
11
00
00
10
11
01
00
10
10
10
01
00
10
10
00
00
00
00
00
01
11
10
10
10
11
01
00
00
00
00
01
00
10
11
00
01
10
10
10
00
00
00
10
11
10
01
01
00
00
00
01
10
00
10
10
00
01
00
10
00
00
01
11
11
10
01
00
00
10
10
00
01
11
00
00
10
10
10
10
00
01
10
00
00
00
10
11
00
10
11
11
01
01
01
11
01
00
10
00
00
10
10
00
00
00
00
11
10
00
00
01
00
01
01
01
00
00
10
11
00
00
01
11
11
10
01
00
10
00
10
10
10
01
01
00
01
00
01
10
10
10
00
10
01
00
00
11
01
01
00
01
10
11
11
01
00
11
10
00
10
11
11
10
10
00
00
10
00
11
11
10
00
00
00
00
10
10
10
10
00
00
10
11
00
00
10
01
10
11
00
11
10
01
00
01
00
10
10
00
10
10
00
00
10
10
00
10
00
00
10
10
00
00
10
10
10
10
00
00
01
00
01
10
11
10
10
11
10
00
00
00
11
10
01
10
10
00
00
00
00
00
10
11
11
01
10
10
00
00
01
10
11
00
11
10
11
10
00
00
11
01
00
00
11
10
10
00
11
01
01
11
00
10
11
00
00
10
11
01
01
00
10
11
00
00
10
00
10
00
00
11
00
10
11
00
00
01
10
11
10
00
00
00
00
00
10
11
00
00
00
11
10
01
00
00
10
10
00
10
01
11
01
01
11
00
11
11
10
10
00
00
01
10
11
00
01
00
01
01
00
00
10
10
10
10
01
00
00
10
00
11
10
01
10
10
00
00
01
00
11
10
11
11
10
10
01
00
01
01
10
11
01
00
11
11
10
00
00
10
00
11
00
10
11
00
11
00
11
10
10
00
10
00
01
00
01
00
00
11
00
00
10
01
00
01
10
11
00
01
11
00
00
10
10
01
01
00
10
10
11
00
00
11
01
01
01
00
10
10
00
10
10
10
01
10
10
10
00
10
00
10
10
11
00
00
11
01
11
10
00
10
00
00
01
10
11
00
11
10
10
10
01
01
01
00
11
00
01
11
10
01
00
00
10
00
00
11
00
00
10
00
10
10
00
00
10
10
01
01
00
00
11
00
00
00
00
01
10
10
11
10
00
01
11
11
01
10
01
00
00
11
01
00
00
10
10
00
01
11
01
11
11
11
11
11
01
01
10
10
00
00
10
10
00
01
10
10
01
00
11
10
00
01
11
00
00
10
10
00
00
00
10
10
01
11
11
10
01
11
11
10
00
10
11
01
00
00
10
01
01
11
10
10
01
11
11
10
11
00
01
10
11
00
00
01
11
10
01
00
11
10
00
10
11
00
00
01
10
00
01
11
10
01
10
01
01
11
00
01
10
11
00
10
01
00
11
00
11
10
00
11
11
00
00
00
01
10
10
00
00
11
10
11
10
00
11
00
10
10
00
00
00
10
10
11
00
11
11
10
01
11
10
10
00
00
10
01
00
00
11
10
10
10
00
10
11
00
00
01
00
11
10
10
00
01
11
00
11
10
10
01
00
10
00
10
00
10
11
00
11
00
10
10
00
10
10
00
11
00
10
10
10
00
01
10
00
01
10
10
00
01
00
10
10
00
00
10
00
11
11
10
00
11
00
00
10
00
01
11
10
10
01
10
00
10
11
10
11
00
10
00
10
00
00
01
11
10
10
10
10
00
10
00
00
00
10
11
01
10
00
11
01
10
00
01
00
00
00
01
10
11
01
10
00
00
10
00
10
11
10
10
10
10
00
00
10
10
00
00
01
10
01
11
00
10
00
10
10
11
00
00
10
00
11
01
00
10
00
10
00
10
10
00
00
10
00
10
10
10
10
00
00
00
00
11
00
01
01
00
00
10
00
10
00
00
11
11
10
10
10
01
10
00
01
10
00
00
01
10
11
01
01
10
11
11
10
01
01
00
00
00
11
00
01
11
00
10
00
00
11
00
10
01
00
00
00
11
00
00
10
10
00
01
10
00
00
10
01
00
00
01
01
10
01
00
11
10
11
11
00
00
10
10
00
10
10
10
10
00
01
00
11
10
10
01
00
00
11
01
01
10
00
10
11
10
01
00
10
10
00
10
10
10
01
10
00
00
00
01
01
00
11
01
00
10
10
00
11
00
00
10
01
01
00
01
00
11
10
10
00
11
10
01
10
00
01
10
11
00
00
11
10
00
11
10
00
00
00
00
10
11
10
10
10
01
00
10
00
10
10
00
00
10
11
00
00
00
10
11
11
11
00
11
10
00
11
11
11
00
01
10
01
00
10
10
00
11
11
00
01
10
10
01
10
01
10
10
11
10
00
00
00
00
11
10
00
10
01
11
11
01
01
11
11
01
01
11
10
00
01
00
00
00
10
00
10
00
11
00
10
01
00
10
00
01
10
10
10
11
10
01
01
10
10
00
00
01
00
00
00
10
01
10
00
10
11
11
01
01
01
01
11
11
10
00
00
10
10
00
00
11
00
00
00
00
11
01
01
10
11
11
00
10
11
01
00
00
00
01
01
10
11
11
00
00
10
10
00
01
10
11
00
10
10
11
10
00
01
00
00
10
10
01
10
11
11
11
10
01
01
10
00
10
10
10
01
00
00
00
01
01
10
10
00
00
10
01
10
10
10
00
01
01
00
00
10
00
10
10
10
11
00
00
11
01
01
00
00
11
10
11
00
00
10
10
10
00
00
10
11
01
10
00
11
00
00
00
00
10
00
00
10
10
01
00
00
00
00
11
10
00
00
10
01
10
00
10
00
00
01
10
10
00
00
01
00
10
10
10
01
11
01
01
01
10
11
00
10
10
00
10
01
00
00
10
10
00
01
10
10
00
00
00
10
00
00
11
10
00
00
10
11
10
10
10
00
11
00
11
00
10
00
10
11
00
00
10
00
01
00
00
10
11
00
00
00
10
00
00
00
00
10
10
01
10
11
00
10
01
11
10
10
10
11
10
00
00
11
00
10
00
00
01
11
10
01
01
00
00
11
10
01
01
00
00
00
11
11
11
11
10
10
10
00
00
10
11
10
00
00
01
10
10
00
01
10
01
00
10
10
00
00
11
01
00
11
00
10
00
01
10
10
00
00
00
00
01
01
10
00
11
00
01
00
10
10
00
00
11
00
00
01
10
01
01
10
11
11
11
01
00
11
10
00
01
00
00
10
10
01
00
00
00
00
01
11
10
10
10
11
01
00
10
00
10
10
00
10
10
10
00
00
00
11
11
10
01
10
01
10
11
00
00
11
10
00
01
01
10
01
01
10
11
00
01
00
00
00
00
10
10
11
00
00
10
00
10
01
01
11
00
00
11
10
10
00
01
10
10
10
11
00
00
00
10
00
01
00
00
00
10
11
00
01
10
00
10
10
00
11
10
00
11
00
10
00
10
10
10
11
00
10
10
01
10
01
10
11
00
11
00
00
10
00
00
10
10
00
10
00
10
00
10
10
00
10
10
01
01
10
01
00
00
10
11
00
10
01
01
00
11
10
00
01
00
10
11
01
11
00
00
11
00
10
10
10
01
00
10
10
01
00
11
10
00
10
00
01
11
00
11
00
10
10
10
00
00
11
11
10
00
00
01
10
01
00
00
00
10
01
01
10
10
10
10
00
00
11
01
01
01
01
10
01
10
10
11
00
00
10
10
11
11
00
01
11
11
00
00
10
00
01
00
10
10
01
00
01
10
10
10
10
10
00
00
11
01
10
00
11
10
11
00
00
11
10
00
01
10
10
10
10
00
10
10
11
00
10
10
00
00
10
00
01
00
10
11
00
00
11
11
10
01
00
11
10
10
00
00
01
11
01
10
10
00
10
00
10
11
11
01
01
10
00
00
10
10
01
11
00
00
10
10
10
11
01
10
10
01
01
00
10
00
00
11
10
01
00
01
00
10
11
11
10
00
10
10
00
00
00
10
00
01
01
00
10
10
10
11
01
00
00
00
00
01
10
10
00
01
11
10
00
00
10
11
01
00
10
01
10
10
00
00
11
10
10
11
10
10
00
00
10
00
00
10
01
01
01
01
10
00
00
00
10
00
00
10
10
11
11
01
11
10
10
00
00
10
00
00
10
10
10
10
11
00
10
11
01
00
00
00
10
01
01
11
11
00
00
10
10
00
11
01
01
00
01
11
10
01
01
10
11
10
01
00
00
11
10
10
00
00
10
11
00
10
10
01
11
11
00
00
00
01
10
01
00
10
10
00
00
00
10
11
11
01
11
10
11
11
10
01
10
01
00
00
11
11
01
00
10
10
01
11
10
00
01
01
10
00
01
11
11
01
00
00
10
10
10
00
00
10
10
11
11
11
10
00
10
10
10
11
01
00
00
00
01
00
10
11
10
00
01
01
01
00
10
00
10
00
10
11
00
11
10
01
10
11
00
00
11
11
10
00
00
01
10
11
10
00
01
10
00
00
11
11
01
01
01
01
11
10
11
00
00
10
10
10
01
01
10
01
10
00
10
01
00
00
00
11
10
00
00
10
10
11
11
00
11
10
01
01
00
10
11
00
10
10
00
11
00
10
10
10
01
10
10
10
00
10
00
00
00
01
01
00
10
10
11
10
10
11
01
10
10
10
01
10
11
10
01
00
10
10
00
00
10
01
01
10
10
01
01
11
10
10
00
00
01
11
11
00
11
10
00
00
01
10
11
10
00
11
10
01
00
01
11
10
10
01
00
00
00
11
00
00
10
10
01
00
11
00
00
10
00
10
10
00
00
00
10
10
10
01
10
10
01
11
00
10
01
10
10
00
00
10
11
10
00
01
11
11
11
00
00
11
11
01
11
10
11
11
00
00
00
11
10
10
10
00
00
10
00
00
10
00
10
00
10
10
11
11
11
00
10
10
10
10
11
00
01
00
10
11
10
00
00
11
10
10
10
01
01
11
10
10
10
11
11
00
00
11
01
10
10
11
01
10
01
00
10
10
11
01
00
10
11
10
11
10
01
01
01
01
00
10
10
11
11
11
00
00
01
10
10
00
10
10
10
00
10
10
01
01
01
01
00
10
01
01
00
01
10
10
10
00
10
00
10
11
00
11
01
00
00
11
00
01
00
10
11
10
01
00
00
00
00
00
11
11
10
00
01
10
00
01
00
10
10
11
01
00
11
10
01
10
01
00
00
00
10
00
01
10
11
10
00
01
10
00
11
01
00
10
00
10
11
10
00
10
01
01
11
11
00
01
00
10
01
01
11
10
00
00
00
10
10
10
00
10
01
00
10
10
11
00
10
01
10
11
10
11
00
00
10
10
00
01
11
01
10
11
11
10
00
10
10
00
10
10
00
00
10
00
10
00
00
00
01
10
10
00
11
10
00
10
10
10
10
10
01
01
10
01
10
10
00
00
10
11
00
00
00
10
10
11
10
00
00
10
01
00
11
00
11
00
00
01
00
01
10
00
01
01
11
01
10
10
01
00
10
01
00
01
00
10
01
10
10
00
11
10
01
00
10
00
10
01
10
01
01
10
11
11
10
10
11
01
00
01
10
11
00
00
01
10
00
00
00
11
10
10
00
10
01
10
00
01
11
10
00
11
10
10
11
00
00
11
10
11
11
10
00
00
00
10
01
00
00
10
00
11
11
10
00
10
00
10
00
00
01
10
10
00
00
00
00
01
10
00
01
11
00
00
10
11
11
01
00
01
01
10
11
01
10
10
11
00
01
10
11
11
10
00
00
00
00
01
10
00
00
01
10
10
01
00
00
01
01
10
10
00
01
10
10
00
10
11
01
00
00
00
00
10
10
10
10
10
00
01
10
10
01
00
10
01
00
10
10
00
01
10
11
11
00
11
10
01
00
00
00
00
01
10
10
00
00
00
01
00
11
10
01
10
00
10
10
00
10
01
00
00
01
01
10
00
10
10
00
10
10
01
00
10
00
11
11
00
00
10
11
01
00
10
00
11
01
10
01
10
01
10
11
01
01
10
10
11
01
00
10
11
00
10
10
10
01
10
10
00
10
00
00
00
11
01
01
10
11
10
11
10
10
10
01
00
10
10
01
00
10
10
10
01
00
00
10
11
10
10
10
00
01
10
00
00
11
10
11
10
10
01
00
00
00
00
10
11
11
10
00
01
01
10
00
00
11
10
00
01
10
01
00
00
10
10
01
01
11
10
00
11
00
10
10
00
00
00
00
01
11
00
10
10
10
00
10
00
00
00
10
10
10
01
10
01
11
10
01
00
10
00
01
10
11
10
00
10
11
00
11
10
00
00
10
10
10
00
11
10
01
00
10
10
10
00
00
11
10
11
00
00
10
10
11
00
11
00
00
11
10
00
10
11
01
00
11
11
01
10
11
01
10
00
00
10
01
00
10
10
11
00
00
11
10
00
00
01
10
00
01
10
00
11
10
01
00
10
10
01
00
00
11
11
00
10
01
00
01
10
01
11
00
00
00
00
10
00
00
00
00
10
01
01
01
00
00
01
00
01
10
10
00
00
01
01
00
10
11
00
01
10
10
00
00
00
01
10
11
01
10
01
10
00
00
10
10
10
00
00
10
01
00
10
01
10
10
10
10
10
10
00
00
00
10
11
10
10
00
00
00
11
10
10
10
00
10
10
10
01
10
10
10
10
10
00
11
00
11
01
00
10
10
01
01
11
10
00
01
11
00
01
00
10
01
00
10
00
10
11
10
10
10
01
00
00
10
10
11
01
00
11
00
10
00
01
11
00
10
10
11
00
00
00
01
10
11
11
10
00
01
01
11
11
00
10
01
00
11
01
00
10
01
00
10
10
10
00
00
00
10
11
00
01
00
00
00
10
10
00
11
11
10
11
10
00
00
01
10
11
11
00
10
11
00
11
11
00
00
11
10
00
11
11
11
10
00
00
11
10
00
10
10
00
10
10
00
10
11
10
01
10
11
00
00
10
01
00
10
00
00
11
10
10
00
00
10
01
10
01
10
10
00
10
00
11
10
10
10
00
10
11
10
01
00
10
10
11
10
00
01
11
00
00
11
10
01
01
01
11
10
00
00
11
10
01
01
10
01
01
01
10
10
00
10
10
10
01
00
10
00
00
01
00
01
00
10
00
10
10
10
11
00
11
01
00
10
01
10
10
10
00
01
01
00
01
00
11
10
00
10
11
10
01
00
11
00
00
00
00
10
10
01
01
11
10
10
00
00
10
00
00
11
11
01
00
11
11
01
10
00
00
10
00
10
10
00
00
00
10
00
00
00
10
10
01
01
10
10
00
01
11
11
10
10
01
01
10
00
10
01
01
10
00
00
10
10
10
10
01
00
11
10
01
10
10
11
00
11
00
10
11
01
10
00
00
10
00
01
10
10
00
00
00
11
01
10
01
01
10
11
00
01
11
00
01
00
10
11
10
01
10
01
11
00
00
00
00
11
10
10
10
10
00
01
01
00
10
01
10
10
11
00
00
00
10
10
10
11
00
01
10
10
10
00
10
10
01
01
01
10
00
10
01
11
11
00
00
00
11
10
00
01
10
00
00
10
10
10
00
01
01
10
10
00
11
10
00
00
11
00
11
11
00
11
00
01
10
11
00
10
00
10
00
00
00
10
00
00
00
00
00
10
00
10
00
11
10
00
10
11
10
10
10
10
10
10
00
00
10
10
00
00
00
00
01
00
11
11
11
11
01
01
01
01
11
10
00
01
00
01
01
10
00
11
10
10
10
00
10
10
10
01
11
00
10
10
11
10
01
10
10
00
10
00
00
11
11
01
01
11
00
10
10
00
10
10
00
01
01
00
10
11
10
10
10
00
10
11
00
01
00
10
10
10
10
01
10
10
10
10
00
10
01
00
10
01
11
00
11
10
00
10
00
00
00
00
10
11
00
11
00
10
00
11
11
00
00
00
00
11
00
00
11
11
10
11
10
10
00
00
10
10
10
00
00
00
00
10
10
10
01
01
01
10
00
00
10
01
11
00
10
11
10
00
10
00
00
00
00
11
01
00
10
00
11
11
00
00
10
10
10
00
00
00
11
00
01
10
01
01
11
01
01
10
01
10
10
00
01
10
10
11
00
00
00
10
11
10
00
00
10
11
00
11
10
10
01
00
01
00
11
01
00
11
10
10
01
00
00
00
10
10
10
10
00
10
10
00
11
01
01
10
01
01
01
00
00
10
10
10
00
10
10
00
10
10
11
11
01
10
10
00
00
01
01
00
10
10
00
10
10
10
00
00
00
00
10
00
00
10
10
10
10
01
11
01
01
11
10
10
01
10
11
00
01
10
10
10
00
01
10
11
00
00
01
01
10
01
10
11
01
10
11
00
00
00
00
10
11
01
00
01
11
00
10
00
11
01
10
11
01
11
11
00
01
01
01
10
10
00
01
11
10
00
01
00
10
10
00
00
10
11
10
00
10
10
10
01
11
00
11
10
01
11
10
00
00
00
11
00
10
10
10
00
00
11
00
00
00
11
10
01
01
10
01
01
01
10
01
01
10
01
00
10
10
00
00
00
00
11
00
11
10
10
11
11
10
10
00
00
10
10
00
00
10
11
10
00
10
11
00
00
11
01
00
10
11
10
10
00
00
01
00
11
11
00
10
11
10
10
10
10
01
00
00
10
00
10
10
01
00
00
00
01
00
00
10
01
01
10
01
10
10
00
00
01
10
00
00
10
00
01
10
01
00
10
00
01
10
10
01
00
11
11
11
10
10
00
01
00
10
01
00
10
10
00
10
01
10
10
10
01
01
00
00
10
00
00
10
10
10
10
00
10
00
01
10
00
11
01
00
01
10
01
00
01
01
11
10
00
00
01
10
10
10
00
10
10
10
00
10
00
00
10
10
10
01
00
01
10
10
00
00
10
10
00
10
01
00
10
11
00
00
00
00
10
11
00
01
10
01
10
01
01
10
00
00
00
10
00
00
10
10
00
01
10
00
10
11
11
10
11
00
00
10
00
11
01
11
11
10
11
10
01
00
01
10
00
01
11
10
11
00
00
10
00
11
11
00
00
10
00
11
00
10
11
00
00
10
10
11
10
01
10
00
01
00
01
00
00
10
10
10
00
00
00
01
11
10
10
11
00
00
00
00
10
10
10
10
11
00
11
11
01
11
01
10
00
00
11
10
11
00
10
00
10
10
00
10
10
10
00
00
10
11
11
00
10
10
11
00
11
10
11
00
00
00
10
11
01
01
10
10
11
10
10
11
00
00
11
00
00
10
00
11
11
10
11
10
00
00
10
00
10
01
00
00
11
01
10
10
10
10
01
00
10
10
10
11
10
10
11
00
01
00
00
10
00
10
11
00
11
10
00
01
00
10
11
10
00
01
10
00
10
00
00
11
01
01
01
11
01
10
01
00
11
10
10
11
10
00
00
10
10
00
00
01
01
00
00
00
00
01
00
01
00
11
11
00
01
11
10
00
11
10
11
10
00
01
10
11
01
10
01
00
11
11
10
00
11
10
00
01
10
00
00
11
00
01
11
11
11
00
10
00
11
10
00
01
10
10
01
10
00
11
11
01
00
00
10
10
11
00
00
10
00
00
11
00
11
11
10
11
01
01
00
10
10
00
01
10
00
11
10
10
00
10
11
00
10
00
00
10
00
00
10
10
00
00
11
10
10
00
00
11
10
10
01
00
11
11
10
00
01
01
01
10
11
11
10
10
00
10
10
00
11
10
10
10
10
00
10
00
01
00
10
00
11
10
00
10
00
00
11
10
01
01
01
00
00
00
10
10
10
10
10
10
00
11
00
10
10
10
10
00
00
00
11
10
11
01
01
10
11
00
00
10
11
00
00
10
11
00
00
00
00
00
00
10
11
01
01
10
00
10
11
00
10
11
00
11
01
11
10
10
11
00
00
00
10
11
01
00
00
10
00
00
00
00
10
00
11
00
01
01
01
11
10
10
10
00
10
11
01
00
00
01
10
11
00
00
10
10
00
00
10
10
10
11
00
01
11
10
00
10
10
10
10
00
00
00
10
00
11
10
01
10
01
10
01
00
01
10
01
11
10
11
00
00
11
01
00
01
10
11
01
10
11
11
10
10
10
00
00
01
10
00
01
11
00
00
11
00
01
10
00
00
10
10
10
10
00
10
01
01
11
10
11
00
00
10
10
10
01
00
01
11
10
01
00
10
00
00
10
10
01
00
00
10
10
00
10
10
01
01
01
00
10
10
00
11
00
01
00
00
10
10
01
00
10
10
01
00
01
00
01
10
10
01
01
00
11
10
01
10
00
10
10
11
00
10
00
00
01
11
10
00
11
10
10
01
00
00
10
10
10
10
00
10
10
01
10
10
10
01
11
00
11
00
10
10
00
10
00
10
10
01
11
00
00
00
00
00
00
00
11
00
01
10
01
11
00
00
11
01
10
00
01
00
00
10
10
11
00
00
00
11
00
11
11
11
00
01
01
10
00
01
11
11
10
00
00
10
01
01
01
11
11
10
00
01
00
10
10
00
00
00
10
00
11
10
00
11
11
01
01
00
10
00
10
10
10
00
01
10
00
10
00
10
00
10
10
00
00
11
11
11
00
10
01
00
11
10
11
01
01
00
10
10
10
10
01
11
10
11
10
00
11
10
00
00
10
10
01
11
01
00
10
01
10
10
11
11
01
00
10
11
10
00
00
00
10
11
01
00
11
00
00
01
10
11
01
10
10
01
10
01
10
01
10
11
01
01
00
11
00
10
10
10
10
01
00
00
00
01
01
11
00
11
11
01
11
01
00
10
00
01
00
10
10
01
10
11
10
00
00
00
00
10
01
01
00
01
01
10
10
00
11
10
11
00
01
11
11
10
01
10
10
10
00
00
10
00
10
10
01
11
11
10
11
10
10
10
00
00
10
00
10
10
01
01
10
10
10
00
10
00
10
00
00
00
00
00
01
10
01
01
01
11
10
01
10
01
00
00
10
00
10
11
01
00
10
00
00
10
10
00
00
10
00
00
01
00
01
01
00
00
00
01
00
11
11
10
01
11
00
00
00
11
01
10
10
00
10
01
11
10
00
11
10
10
10
10
10
01
10
00
00
11
00
00
11
01
00
00
00
10
10
01
00
10
01
01
00
00
01
10
00
00
10
01
10
10
10
00
01
00
01
00
00
10
10
10
00
00
11
10
00
00
10
00
00
11
11
01
10
11
00
11
10
10
01
00
10
00
10
10
00
11
10
10
01
01
00
00
11
10
00
01
10
10
01
00
01
10
11
01
11
11
10
00
00
10
10
10
00
00
01
10
11
10
00
10
01
11
01
11
10
10
01
10
10
00
01
00
10
00
10
00
00
11
11
10
00
00
10
00
01
10
01
00
01
00
10
10
01
10
11
01
00
11
00
00
10
10
01
10
00
00
11
00
11
10
01
10
01
00
10
10
00
11
10
10
00
11
10
00
00
11
10
00
11
00
10
00
10
11
00
00
10
10
00
10
00
00
11
11
11
10
01
11
01
10
00
11
10
10
10
00
00
11
00
01
00
10
10
11
11
10
00
00
00
10
10
01
11
00
01
11
00
11
10
01
10
00
00
11
01
00
10
01
01
11
11
10
11
10
11
10
10
00
01
01
00
10
01
00
00
01
10
11
00
11
00
00
00
10
10
00
00
10
00
10
00
10
00
00
10
01
01
10
00
00
11
10
10
00
00
01
10
01
10
10
00
11
00
10
00
01
11
00
10
00
10
00
01
11
10
00
00
11
10
10
00
00
00
11
11
10
10
00
00
00
00
00
00
11
00
10
00
11
10
00
01
01
10
10
00
00
11
00
10
10
10
01
01
10
00
10
10
01
10
10
11
01
01
10
11
00
10
10
00
11
10
01
11
11
00
10
10
10
10
11
11
00
00
10
11
00
10
10
00
01
11
01
00
00
00
00
10
10
00
00
01
01
11
10
01
00
11
01
10
10
00
10
01
00
01
10
00
00
11
10
11
11
01
10
00
00
00
00
11
11
00
11
10
01
00
11
00
11
00
01
10
10
11
00
00
10
10
01
11
00
01
10
01
11
10
00
01
10
11
00
10
10
11
10
11
10
00
00
00
10
11
00
01
00
11
01
00
00
11
00
00
00
01
10
10
00
11
10
10
01
10
11
10
11
00
10
00
00
01
10
00
10
01
10
00
00
10
00
00
01
00
01
00
01
10
01
10
00
10
11
10
10
01
01
10
11
01
11
10
10
00
01
11
10
11
01
01
11
10
00
10
11
10
00
01
10
00
10
00
01
11
10
10
00
11
11
10
00
01
00
00
00
00
10
01
00
10
00
00
01
10
01
11
10
11
00
01
10
00
10
10
00
00
00
10
01
00
11
00
00
10
10
10
01
10
10
10
00
10
01
10
11
01
10
01
10
11
00
00
10
00
00
11
00
11
10
01
11
01
10
00
01
10
00
10
11
01
00
10
10
00
00
10
01
10
10
10
00
10
11
10
01
01
00
00
10
00
01
10
10
00
01
00
10
10
01
11
01
10
11
11
00
10
01
00
11
00
00
10
00
01
10
10
01
00
10
00
00
01
10
00
10
10
00
10
11
11
10
00
11
11
11
01
00
11
10
10
00
00
10
10
00
00
11
00
11
10
00
11
10
01
00
00
10
10
11
01
10
10
01
00
00
10
11
10
10
01
00
01
01
01
00
11
10
00
10
10
00
00
10
10
01
11
01
10
11
00
00
10
10
01
00
01
11
10
01
00
01
00
10
10
10
10
10
01
00
10
10
00
00
10
11
11
01
01
01
00
00
00
10
10
01
10
00
01
01
11
01
00
11
00
11
00
00
10
11
11
00
11
01
01
10
00
01
01
00
10
11
00
10
10
01
10
10
00
00
00
10
01
10
00
00
10
10
10
00
01
11
11
10
01
10
10
00
11
00
10
00
10
11
10
00
10
11
01
10
01
10
00
00
00
01
10
10
00
10
10
01
00
11
00
00
01
11
00
11
10
11
10
00
10
00
01
01
10
10
00
10
00
00
00
01
10
10
10
10
01
10
01
00
00
00
10
00
00
11
11
10
00
10
11
01
00
11
10
00
11
00
10
10
10
00
10
11
01
01
10
11
10
00
01
10
11
00
00
10
01
00
11
10
00
10
00
00
00
10
11
10
10
00
00
10
00
01
00
00
00
11
10
00
11
00
11
11
00
00
10
11
11
10
10
00
10
10
10
00
00
10
00
11
10
10
10
00
01
10
01
01
11
10
10
00
11
11
10
11
01
00
00
00
10
11
10
00
00
00
10
10
10
11
10
10
00
11
10
10
11
10
10
00
11
10
00
00
01
10
11
10
01
01
11
11
00
01
10
00
10
11
00
00
01
01
11
10
10
01
00
01
10
10
01
10
11
00
10
10
11
10
11
00
01
00
10
01
11
10
10
00
01
10
10
00
10
11
00
01
01
01
11
10
10
01
00
11
11
10
00
00
11
10
00
01
11
00
00
00
00
10
00
10
10
11
11
00
11
01
11
10
00
00
00
11
10
10
00
10
10
10
10
00
10
10
10
10
00
11
11
00
10
00
00
10
01
00
10
11
01
11
01
00
11
10
11
00
01
10
11
01
00
10
10
01
00
11
10
10
11
00
01
01
00
10
10
01
00
11
01
01
00
01
10
00
10
10
10
01
11
10
00
10
00
00
00
00
00
10
10
00
00
00
10
10
01
01
11
00
00
10
01
01
11
10
10
11
01
01
10
00
00
01
01
00
10
10
11
00
00
10
10
01
01
11
10
01
10
00
10
11
00
10
10
00
01
10
10
00
00
10
00
00
10
10
10
00
01
10
00
01
10
10
00
00
01
11
10
01
11
11
10
11
00
00
00
10
10
00
10
10
00
01
10
00
00
00
10
10
10
00
01
00
11
10
10
10
01
10
10
11
00
11
00
00
11
01
10
10
10
00
01
00
10
01
10
11
01
01
10
11
01
10
01
01
10
10
00
00
00
00
10
01
01
10
10
00
00
10
00
00
00
01
00
10
00
10
01
10
00
00
10
11
00
00
11
10
01
10
00
00
11
10
01
00
01
10
10
10
00
00
11
00
11
10
00
00
10
10
01
00
10
11
11
11
10
11
10
01
10
10
00
00
10
10
01
01
11
00
00
01
10
00
10
11
00
01
10
10
01
00
00
11
11
00
10
10
01
10
10
11
10
00
10
00
00
00
00
11
10
10
00
10
01
10
11
00
10
00
10
00
00
00
00
10
01
11
10
00
10
10
10
10
00
00
10
10
01
11
11
10
00
10
00
01
00
01
11
10
00
11
10
00
00
11
01
10
00
10
01
10
00
01
10
01
01
11
10
00
00
10
01
00
11
11
00
10
10
10
00
10
10
01
00
00
01
10
10
01
10
10
10
00
10
00
10
00
00
00
10
10
01
00
01
00
01
10
00
00
10
00
10
00
00
10
10
00
10
01
00
00
10
00
00
10
10
10
11
01
10
01
01
01
11
11
00
00
11
11
10
01
11
00
00
11
11
01
01
11
00
00
10
10
10
00
00
10
11
01
00
00
10
01
00
11
00
10
11
11
10
00
01
00
01
10
11
10
00
01
00
10
10
10
00
10
01
00
10
10
10
01
10
00
11
01
00
00
10
10
01
01
00
10
00
10
10
01
10
11
10
11
00
11
00
10
10
10
11
01
01
11
11
00
00
00
00
00
00
00
11
10
01
00
01
00
10
10
01
00
10
11
00
00
11
10
11
01
00
00
11
00
10
11
01
00
10
10
00
00
00
11
10
00
11
10
00
00
11
00
00
11
00
10
10
11
10
10
00
01
11
11
11
00
01
11
00
01
11
11
01
00
10
10
10
00
10
10
00
10
00
11
00
10
00
00
01
11
10
11
01
10
00
00
10
10
00
00
00
11
11
00
00
01
00
11
00
00
01
10
10
10
00
00
01
01
10
00
10
00
10
10
00
10
00
01
11
00
11
00
11
01
10
10
10
00
00
00
10
10
00
00
00
00
01
00
10
11
01
00
00
10
10
11
00
00
00
01
00
00
00
10
01
00
10
10
10
00
00
00
00
10
10
00
10
11
10
10
00
10
10
10
01
00
00
10
01
00
10
01
00
00
10
10
00
11
11
00
01
00
01
10
01
00
11
10
00
11
00
10
10
00
00
01
11
10
00
10
11
10
00
11
11
00
00
10
01
01
00
00
11
10
10
01
00
10
10
10
00
00
10
10
01
11
00
00
00
11
00
00
10
10
00
00
11
10
00
01
10
10
01
10
10
10
00
11
10
00
00
10
00
00
00
00
11
10
11
11
00
00
10
00
01
10
11
01
11
01
10
01
01
00
10
10
00
00
11
10
10
10
01
01
00
10
00
00
10
11
00
10
01
11
00
10
00
01
00
00
10
00
00
10
00
11
10
00
10
00
01
10
11
10
10
00
10
10
00
00
10
00
00
11
01
00
00
10
10
10
01
10
01
10
10
01
10
10
11
10
00
00
01
01
00
10
00
11
11
11
10
00
00
00
11
00
00
10
10
00
10
00
00
01
00
10
01
01
10
11
00
11
10
00
10
00
10
11
00
10
10
01
11
11
10
01
11
00
10
10
10
01
11
10
00
01
10
11
10
10
00
11
00
10
01
00
01
00
01
00
10
10
00
10
10
10
01
10
10
10
10
01
00
10
11
10
01
01
00
11
10
00
10
10
01
10
00
01
11
00
11
01
10
00
01
10
01
11
10
01
01
10
10
10
00
00
10
10
10
11
10
10
11
00
00
10
00
11
00
01
10
11
10
10
00
00
00
10
11
01
01
10
00
00
11
10
10
11
01
00
00
10
00
10
00
00
11
00
00
00
10
01
11
10
10
00
10
11
10
01
00
01
10
11
10
11
00
00
10
10
10
01
00
10
10
00
00
11
11
00
00
00
00
00
01
00
00
10
10
10
01
10
11
11
00
10
00
10
10
01
11
01
01
11
10
01
00
10
10
10
01
00
00
00
11
00
01
10
11
00
10
00
10
00
00
10
00
10
00
00
00
11
11
10
10
01
11
11
10
01
01
10
10
10
00
00
01
10
10
10
00
01
10
11
11
00
11
00
10
00
01
11
10
10
00
01
00
11
10
01
10
11
10
11
01
00
01
10
00
00
10
10
00
01
11
10
00
10
11
10
11
01
01
00
00
01
10
01
01
11
10
00
01
11
01
00
10
00
00
10
00
00
11
00
10
00
01
11
10
10
01
10
11
00
11
10
10
01
11
01
00
10
10
10
00
01
00
01
10
00
00
10
10
00
00
00
11
00
00
00
00
10
11
11
00
11
10
01
00
10
00
11
11
00
00
10
10
00
11
00
00
11
11
00
11
01
11
00
11
00
00
11
10
10
11
00
00
00
11
11
01
00
00
01
10
00
01
10
10
00
00
10
10
00
11
01
10
00
00
01
10
01
00
00
01
00
00
01
11
11
00
10
01
10
01
10
10
00
00
00
00
10
11
00
01
11
10
00
00
01
10
00
11
11
10
11
10
00
10
00
01
10
00
00
00
00
10
01
10
10
10
10
11
10
10
01
01
10
10
00
10
01
10
10
00
00
00
00
00
10
10
11
11
10
00
00
00
01
01
10
10
00
00
10
11
01
11
00
10
11
00
10
11
00
00
00
10
00
11
10
11
00
00
10
11
01
11
10
01
11
10
00
11
10
01
00
01
10
00
01
00
00
11
11
00
00
10
11
11
10
10
01
10
11
10
01
00
10
00
10
10
00
00
10
00
10
11
10
01
00
11
00
10
11
00
01
00
01
11
01
01
11
11
10
00
00
10
10
01
01
10
11
00
01
00
10
10
00
10
11
00
00
10
11
00
01
00
00
10
00
10
00
00
10
00
11
10
10
10
10
00
00
00
00
01
10
11
00
10
10
00
10
10
01
00
00
10
10
10
00
11
10
11
00
00
01
00
00
00
10
10
10
10
01
11
11
01
11
00
01
11
11
00
00
11
11
10
10
00
01
11
00
01
10
11
00
11
01
11
10
00
01
10
10
00
10
01
00
00
11
00
10
11
11
00
10
10
01
10
10
10
10
01
00
00
01
10
01
10
10
10
10
00
10
10
01
01
00
00
10
00
10
11
11
01
10
10
00
00
00
01
11
10
00
00
11
10
01
11
10
10
01
01
00
00
11
01
10
11
01
10
10
10
10
10
01
00
00
11
11
10
00
11
01
01
10
00
11
01
00
01
11
10
01
00
11
10
10
11
01
00
11
10
01
00
00
01
01
11
01
00
00
10
00
00
10
11
10
00
10
10
00
00
10
00
00
01
00
10
10
10
01
00
11
00
01
11
11
01
01
10
10
11
00
00
00
10
10
01
10
10
11
00
00
00
10
00
10
10
01
10
10
00
11
11
10
10
10
10
00
10
10
00
10
10
01
11
00
11
00
01
00
10
10
01
00
11
10
00
01
10
00
00
10
00
11
11
00
10
10
11
00
10
11
00
01
10
11
01
10
10
00
10
00
10
10
10
00
10
10
00
01
10
10
11
00
10
11
11
11
00
00
11
10
10
10
00
00
00
11
10
01
00
11
00
01
01
01
10
10
10
10
00
01
10
10
10
00
11
01
00
10
00
00
10
10
10
00
00
00
11
11
00
11
00
00
10
10
11
11
10
10
01
00
00
00
10
00
01
10
10
01
00
10
00
10
00
10
00
10
00
10
10
10
00
00
11
10
00
00
10
10
00
10
00
10
01
10
10
11
00
00
00
00
10
00
11
10
10
11
00
11
01
11
00
00
00
00
00
00
11
10
10
10
10
10
10
00
01
01
10
11
11
00
10
00
00
00
01
10
01
10
11
00
00
10
00
10
10
10
00
10
01
11
11
00
10
00
00
10
11
00
00
00
10
01
00
00
00
10
00
01
10
10
00
00
00
10
01
00
00
10
10
01
00
00
10
01
00
00
00
11
11
01
10
11
11
10
00
01
00
10
11
00
10
10
01
00
11
10
00
10
00
11
00
01
00
10
00
11
10
00
10
10
10
11
01
00
00
10
00
10
10
00
10
10
11
11
11
11
00
00
00
00
00
00
10
10
01
00
10
00
10
00
10
11
00
00
10
10
10
10
10
10
01
00
00
00
00
01
11
11
10
00
00
10
00
00
11
10
10
00
01
00
00
00
10
10
00
01
11
00
10
11
00
11
11
00
10
11
00
10
10
11
00
10
10
01
00
00
10
10
10
01
00
11
10
11
10
11
11
01
00
11
01
01
11
10
00
00
01
10
11
00
00
10
10
11
10
10
10
00
00
00
10
10
00
01
10
00
00
10
01
11
00
00
00
10
11
10
00
10
11
11
10
10
10
10
01
11
00
10
10
00
00
00
10
01
10
10
10
01
01
10
10
00
00
11
11
10
10
00
00
00
01
10
00
01
10
01
11
10
01
00
11
11
00
01
11
10
11
10
00
01
11
10
00
01
00
01
10
01
11
00
10
01
10
10
01
01
11
00
00
11
01
10
10
10
00
01
10
00
00
00
10
10
00
00
10
10
10
00
01
00
11
10
10
10
11
00
10
01
00
00
01
10
11
11
10
01
01
10
11
10
00
00
11
10
11
10
00
10
00
10
11
00
00
00
10
10
00
11
01
00
11
00
11
10
10
01
00
11
10
01
00
00
11
10
01
10
01
11
00
11
11
10
10
11
00
01
00
10
10
10
00
10
00
10
11
00
00
00
10
11
10
00
01
01
00
11
10
10
01
10
00
00
01
10
10
01
00
00
11
11
10
10
01
00
00
00
11
10
10
10
01
11
10
11
01
00
00
10
00
01
10
10
10
01
11
01
00
10
10
11
00
11
00
00
10
00
00
10
00
00
00
10
10
11
10
00
01
00
01
00
11
01
01
01
00
00
10
10
00
00
10
10
01
01
00
10
10
00
00
01
10
00
00
10
10
11
01
11
11
10
10
00
01
01
10
11
01
00
11
00
00
10
00
00
10
01
10
01
00
10
11
10
10
10
11
00
11
10
10
10
11
00
01
10
11
10
00
01
11
00
11
10
10
00
11
01
00
11
00
10
00
10
10
10
10
00
11
10
11
00
01
00
00
10
11
10
01
01
10
00
10
11
00
00
00
11
11
11
00
10
00
10
00
00
10
10
10
01
10
10
11
10
01
01
00
00
00
10
10
10
00
10
00
00
00
10
10
00
10
10
00
01
10
10
11
10
11
00
10
11
01
01
10
10
00
11
00
01
10
11
00
10
01
00
10
10
10
00
01
00
00
10
01
11
11
10
01
01
01
00
10
10
01
10
10
10
00
00
00
00
10
00
01
10
00
00
10
10
11
00
10
10
01
01
10
11
01
00
00
11
10
11
01
00
11
11
00
10
10
01
00
01
11
11
00
01
01
10
10
10
00
00
00
00
10
00
11
00
00
00
10
10
00
10
11
10
00
10
01
01
00
11
00
10
01
01
11
11
10
00
00
01
00
10
00
11
10
10
00
10
00
00
10
01
01
00
11
10
10
00
00
11
11
00
01
10
11
00
00
10
00
01
11
10
00
10
00
01
01
10
11
11
10
01
00
10
00
00
11
00
11
00
01
11
01
10
10
10
01
01
10
10
11
11
00
11
01
01
00
11
10
11
00
00
10
01
00
10
11
00
10
10
00
00
00
10
00
00
00
01
01
10
10
11
00
00
01
10
10
00
00
10
10
01
00
01
10
00
00
10
01
00
11
11
00
00
00
11
11
00
01
00
11
00
01
00
11
10
01
10
00
10
00
01
10
10
11
00
00
10
01
00
10
01
00
10
11
11
01
01
10
01
11
11
01
10
10
01
10
00
10
10
00
01
10
00
00
10
11
00
10
10
10
10
10
00
10
11
10
01
01
00
10
00
00
00
01
11
00
11
10
00
10
10
01
01
10
11
01
11
10
01
11
11
10
01
00
11
01
11
11
01
11
10
00
10
01
00
11
01
00
10
00
10
01
00
10
00
00
10
10
10
11
00
00
11
00
10
00
01
11
11
00
00
01
00
01
01
10
10
11
11
01
10
00
01
00
00
10
10
01
00
11
10
01
10
01
11
01
10
10
01
00
10
11
00
11
11
11
00
00
10
10
00
00
11
00
00
11
00
00
10
01
00
00
00
10
11
00
11
00
01
00
10
00
01
10
10
10
00
00
11
10
10
01
00
10
10
01
00
10
00
10
00
00
10
10
11
10
10
01
10
10
11
00
10
10
00
00
01
00
11
01
10
00
10
10
01
11
10
10
01
10
10
01
11
01
01
11
01
10
10
10
01
00
00
10
10
11
10
00
01
00
10
00
00
10
10
11
00
10
00
00
10
10
00
01
10
10
00
10
11
10
11
10
10
00
11
11
10
10
00
01
10
10
10
00
10
10
11
00
11
11
00
10
00
10
00
00
11
00
10
00
00
11
10
11
01
10
00
00
00
10
11
00
00
10
10
00
11
10
10
00
01
01
01
01
10
00
11
10
01
01
10
00
11
10
11
00
01
01
10
11
00
00
10
11
00
00
10
11
10
00
10
11
01
10
11
00
00
00
10
10
00
01
10
00
00
10
10
10
00
00
00
01
00
00
00
11
00
00
11
10
10
00
10
10
10
01
10
01
00
10
00
00
00
00
10
10
10
00
10
00
10
11
00
00
10
00
00
00
10
10
01
10
11
10
10
01
11
01
00
01
10
00
00
10
01
00
10
00
11
10
00
10
11
00
10
11
10
11
01
00
11
00
01
10
01
10
01
11
01
10
00
00
00
11
00
11
11
00
10
00
01
00
01
10
10
00
00
11
00
01
10
11
00
00
00
10
10
00
11
11
10
10
00
01
11
10
01
00
10
10
10
11
00
01
10
10
00
00
10
10
00
00
10
10
01
11
10
00
10
10
10
10
00
11
11
00
01
11
10
11
10
00
00
01
11
01
00
11
00
10
11
00
00
10
10
10
00
11
11
01
10
10
10
01
00
00
00
10
10
01
01
11
01
10
00
00
10
00
01
10
11
10
10
00
01
00
01
10
11
10
11
00
00
10
10
00
10
01
11
11
11
00
10
10
10
10
00
11
10
10
01
00
00
01
00
10
00
11
11
01
00
11
10
10
10
00
10
00
01
00
11
10
01
00
10
00
10
11
01
00
10
11
11
11
00
00
11
10
00
01
01
01
11
10
10
11
00
11
10
10
11
10
00
11
00
01
10
00
01
00
10
11
01
00
01
10
10
10
01
00
11
10
00
10
01
10
00
00
10
11
00
01
10
01
01
01
10
11
00
00
10
01
01
00
11
10
01
10
11
01
11
11
10
00
10
01
00
11
10
00
00
10
01
00
00
10
01
10
10
01
01
10
11
10
10
11
01
10
00
01
10
01
00
10
00
00
00
10
10
10
00
00
11
10
00
01
10
11
00
11
00
10
00
00
00
10
00
00
01
00
10
00
00
00
10
01
00
10
11
01
00
00
10
00
00
01
11
10
01
00
10
00
11
00
00
10
00
00
10
10
10
01
10
11
10
01
01
01
11
00
00
11
10
00
00
10
00
01
00
10
11
00
00
01
01
11
00
01
10
10
10
00
11
10
10
10
00
00
01
01
00
00
10
10
11
00
01
10
10
00
10
11
00
10
11
10
11
00
01
10
00
01
00
11
10
11
00
00
11
10
00
01
00
10
10
00
01
00
01
00
10
11
00
01
10
10
01
10
10
00
11
10
10
00
00
11
10
00
00
00
10
00
01
11
11
01
11
00
10
10
00
01
10
10
00
00
10
00
01
10
01
01
00
00
10
10
11
01
01
11
10
00
10
10
10
11
10
01
00
11
10
11
00
00
10
11
11
00
00
10
10
11
11
01
01
00
10
10
01
00
10
10
01
00
00
00
11
01
10
00
00
10
00
01
11
00
01
10
01
00
00
10
10
00
01
10
10
10
00
11
01
11
00
10
00
01
10
00
00
10
00
00
01
00
00
00
10
10
10
00
01
00
01
00
10
10
01
00
11
00
01
00
11
00
01
10
10
11
00
01
11
00
11
10
11
10
00
00
10
01
00
01
10
11
10
10
11
00
01
10
00
01
00
10
10
00
10
10
11
10
10
00
11
10
00
00
00
11
10
00
00
11
11
01
01
00
00
10
10
00
00
11
10
00
11
11
10
01
00
11
00
01
10
10
00
00
00
11
00
00
10
11
10
01
00
00
10
11
10
01
11
10
11
00
10
10
00
00
10
00
00
10
00
11
00
10
00
11
10
00
00
00
01
10
11
00
00
10
01
11
10
00
00
10
00
00
10
10
00
00
11
00
01
10
10
00
00
00
00
11
11
01
00
00
00
00
00
10
01
00
10
00
11
00
00
01
10
00
11
01
00
11
00
01
00
11
10
01
10
11
00
10
01
00
10
11
01
01
11
00
10
11
10
11
01
00
10
00
00
11
10
00
10
10
10
01
00
01
01
00
10
00
10
11
00
10
00
10
10
01
01
01
00
11
10
10
01
01
10
11
00
00
11
00
00
00
11
11
00
00
11
11
00
00
00
11
10
00
10
10
01
00
11
10
01
10
00
00
00
00
00
10
10
01
10
11
10
11
00
10
00
00
01
11
10
00
00
00
00
11
10
00
00
10
00
10
10
10
10
11
10
00
01
00
00
11
00
00
01
10
10
01
11
11
00
00
00
10
00
01
10
10
11
11
10
11
00
00
10
00
00
01
11
11
10
10
10
10
01
10
10
00
11
11
00
00
01
11
00
00
00
10
10
10
11
10
10
00
00
00
00
10
10
10
00
10
10
00
00
11
00
11
01
00
10
00
11
01
10
00
11
00
10
10
11
01
00
10
01
10
11
10
10
00
11
10
00
01
11
00
01
00
00
01
10
11
01
10
11
00
11
10
00
00
10
10
10
01
01
01
00
00
01
01
10
10
01
01
00
00
10
10
00
00
01
00
10
10
10
00
00
10
00
01
01
11
01
01
11
10
10
10
11
00
00
11
00
00
00
01
10
00
00
01
10
10
01
00
11
10
10
00
10
00
00
00
01
00
10
11
00
11
11
00
10
10
11
00
01
10
10
01
10
10
00
00
10
00
01
10
00
00
10
10
11
00
00
11
01
11
00
01
10
11
10
10
00
00
10
10
00
00
00
11
10
11
11
00
10
11
00
00
00
11
10
10
00
01
01
00
01
00
10
00
01
01
10
10
00
00
11
10
00
00
10
10
00
01
10
00
10
01
10
10
00
00
00
00
10
10
00
00
00
11
10
00
10
01
11
00
11
11
00
10
11
11
10
10
01
00
00
10
01
01
01
10
00
00
00
10
11
10
00
10
01
01
01
01
10
11
00
01
11
00
00
00
00
10
10
10
11
00
00
10
01
10
11
10
10
01
00
11
10
00
00
00
00
00
01
11
00
10
10
11
10
00
10
01
10
10
01
11
10
01
00
10
00
00
10
01
11
10
10
01
10
10
00
00
01
10
10
10
01
00
00
10
01
00
10
10
00
10
10
01
00
00
10
11
00
10
00
10
00
10
00
00
00
01
00
01
01
01
11
10
00
00
01
10
11
00
00
10
10
11
11
10
01
00
00
10
01
01
10
01
00
00
10
01
00
11
10
00
11
11
01
00
00
11
10
00
10
00
00
11
11
10
10
10
00
00
00
10
11
00
10
00
00
00
01
00
10
10
01
10
10
11
00
00
00
00
11
00
10
11
10
11
10
10
00
00
01
11
10
01
11
00
11
01
11
11
00
00
10
10
01
10
11
10
00
10
10
00
00
01
00
11
10
10
01
01
10
10
00
01
10
11
01
10
11
00
01
10
00
01
01
10
10
00
00
00
00
10
10
10
10
00
10
00
11
11
11
01
11
01
01
11
10
00
11
11
00
10
01
10
11
10
00
00
01
11
00
11
11
01
00
10
11
00
11
00
00
10
10
00
00
11
10
00
10
10
00
10
10
10
01
00
10
11
11
01
00
00
00
01
11
11
01
01
10
10
11
00
11
10
00
01
11
01
00
11
01
00
00
10
10
00
00
01
10
10
11
00
00
10
10
01
10
11
00
11
10
10
10
11
00
01
11
01
00
11
01
01
00
11
01
10
10
00
10
10
11
00
10
00
01
10
10
11
10
10
10
01
00
10
11
01
00
01
10
10
00
11
00
10
11
00
10
11
10
10
11
01
10
11
00
00
00
00
10
10
00
01
11
10
01
00
00
00
00
10
10
00
10
10
10
10
00
10
00
11
01
10
10
10
00
10
10
00
10
00
01
10
10
01
10
11
01
10
00
11
01
00
10
10
00
11
01
00
11
01
00
10
10
00
11
01
01
11
10
00
10
00
01
00
11
11
00
00
10
00
00
00
11
10
00
00
10
11
10
01
00
00
10
10
00
00
00
10
00
00
01
10
01
10
00
10
10
01
11
00
01
01
01
10
00
00
10
00
00
10
00
00
11
10
00
01
10
10
00
01
10
00
00
10
10
11
01
00
00
10
11
00
01
00
00
10
10
00
10
10
00
00
11
10
00
10
00
01
10
00
00
10
10
00
00
00
01
11
11
11
00
00
00
10
10
10
00
01
00
10
01
00
10
10
01
10
01
01
10
10
00
10
10
10
00
11
10
10
10
11
01
00
00
00
10
10
10
10
10
10
00
00
01
01
10
11
00
11
01
00
00
00
10
11
00
00
10
11
11
10
00
01
01
10
10
00
01
10
10
00
10
11
10
01
00
11
11
00
00
10
00
10
00
00
10
10
10
00
10
00
00
00
00
10
11
11
11
10
00
00
01
00
11
10
01
00
01
00
00
10
10
01
01
00
00
01
10
11
00
00
00
00
01
00
01
10
00
00
11
01
01
11
10
10
00
01
11
00
01
10
01
00
10
10
00
00
10
01
01
00
01
11
01
00
01
11
10
00
10
10
11
00
00
11
11
01
00
10
11
10
00
00
01
10
10
10
01
00
00
11
11
10
00
10
10
00
10
00
00
00
01
01
00
00
00
00
00
00
11
11
10
10
00
10
11
00
01
00
11
10
10
00
00
10
00
00
10
00
10
00
00
10
10
11
01
11
01
11
00
00
10
00
10
11
01
01
01
10
10
10
10
00
11
10
00
10
00
00
10
00
11
00
10
00
00
11
10
00
00
01
10
00
00
01
10
00
00
10
10
00
10
00
00
00
01
00
10
00
00
10
10
01
00
00
00
10
10
11
11
00
01
00
01
00
00
10
00
01
10
01
01
01
01
00
01
00
00
10
11
00
10
11
00
00
10
00
00
01
00
11
11
11
11
00
00
01
11
10
11
00
00
00
10
00
10
10
01
10
01
11
00
10
01
00
10
11
10
11
11
00
01
10
00
11
10
01
10
11
00
01
00
01
10
11
10
00
00
11
10
11
10
00
11
11
11
11
00
01
11
10
01
01
10
10
10
00
10
11
00
10
00
11
00
00
00
01
00
10
01
00
01
01
10
00
11
11
01
01
00
01
10
00
11
10
00
00
10
11
11
10
00
01
01
11
00
11
01
11
10
11
00
01
10
10
10
00
11
10
01
01
00
11
10
01
10
10
10
00
10
10
01
01
10
00
00
10
00
00
11
11
11
00
00
10
10
11
01
10
01
00
11
01
00
01
00
10
10
10
01
11
00
01
00
00
01
01
10
01
00
10
11
01
00
11
10
01
11
11
00
00
10
11
01
00
10
11
01
00
00
11
10
01
00
00
00
10
00
11
10
00
01
01
11
11
10
00
11
10
01
00
10
11
00
00
00
00
11
00
00
00
11
01
10
01
10
11
10
01
01
10
01
00
10
10
11
00
00
10
10
00
11
01
10
00
11
00
00
10
00
11
10
10
00
00
10
11
10
10
11
00
10
00
00
00
00
11
10
00
10
00
00
01
10
11
00
00
10
10
10
00
01
10
10
00
00
10
00
00
10
10
10
00
01
10
00
00
11
01
11
10
10
00
00
00
00
00
10
10
10
00
10
00
10
11
10
00
01
10
00
10
11
10
00
01
11
11
10
10
11
00
10
00
00
10
00
00
11
10
00
11
00
00
01
11
10
00
00
10
10
11
01
01
00
00
01
11
01
01
00
11
01
11
10
00
00
10
10
10
01
11
01
10
01
11
10
00
01
10
00
11
10
10
10
11
10
10
11
00
00
10
10
01
00
10
10
01
00
10
11
01
00
10
00
00
01
00
11
11
01
10
00
00
00
11
10
00
00
00
00
11
10
11
01
00
11
10
10
00
11
11
10
00
00
00
10
00
10
00
11
10
00
00
10
00
00
10
00
00
10
01
10
10
00
00
10
00
10
00
01
00
11
11
00
00
10
00
01
10
01
00
10
01
00
10
01
01
11
10
00
00
11
10
00
11
10
10
00
11
10
10
01
00
11
00
01
00
00
10
00
10
00
01
11
11
11
10
11
01
00
10
10
00
10
10
00
01
00
11
01
10
00
01
00
10
01
10
01
00
10
01
10
00
00
01
10
10
10
00
10
01
00
10
10
00
00
10
10
01
01
01
10
00
01
00
11
00
11
10
10
01
00
11
11
10
10
10
10
11
00
00
00
11
01
10
10
01
00
00
11
10
00
00
10
10
01
01
10
10
00
01
10
10
00
10
00
01
00
01
10
10
01
00
01
10
10
01
00
11
10
10
01
10
01
00
00
10
11
00
11
00
00
00
00
00
11
10
01
00
10
00
10
00
00
01
10
10
10
00
00
00
10
00
10
00
01
10
01
11
10
11
00
01
10
10
00
11
10
01
11
10
01
10
01
11
00
01
00
11
11
01
00
10
10
00
10
01
00
10
00
00
10
00
00
00
11
00
01
10
00
00
01
10
11
00
00
11
11
00
10
11
01
11
01
10
00
00
00
11
11
00
11
00
10
01
01
00
10
11
00
01
11
11
00
01
01
11
00
10
10
00
00
00
01
11
11
00
10
00
10
10
11
01
00
11
01
11
10
10
10
00
10
10
00
00
11
11
10
10
10
10
10
11
01
01
00
00
10
00
10
10
10
00
10
10
01
10
10
00
00
00
01
10
10
10
00
10
00
11
10
00
10
10
10
11
00
00
00
10
01
00
10
00
00
01
11
11
10
00
10
11
10
00
00
10
10
10
01
00
01
10
10
00
10
00
01
01
10
00
00
01
10
10
00
10
10
00
01
10
11
00
10
00
10
00
00
00
10
00
00
00
10
10
10
00
10
01
00
01
00
11
10
11
00
10
10
00
10
10
11
00
10
10
01
00
00
11
01
11
00
10
11
01
00
10
10
10
10
00
00
00
11
11
10
11
01
11
10
10
10
01
10
00
00
00
10
00
11
11
10
00
00
10
11
10
01
00
10
10
11
01
00
01
10
01
11
11
11
10
10
10
01
00
00
00
11
10
01
10
00
10
11
00
11
00
10
10
00
10
00
10
00
01
10
10
00
00
00
10
00
01
01
11
11
01
11
10
00
10
00
00
11
11
00
00
10
11
10
01
01
10
10
00
00
10
00
00
10
10
11
11
11
00
00
00
01
00
10
10
10
01
01
00
00
00
00
10
10
00
00
11
00
11
10
00
00
01
10
00
00
10
10
00
00
01
10
10
11
11
00
00
00
01
00
10
00
01
11
10
00
01
01
10
10
11
00
01
10
00
11
10
00
01
00
00
00
01
00
00
00
10
01
10
11
01
11
01
10
11
01
00
00
10
10
01
00
11
01
00
00
10
01
11
01
00
10
00
01
00
10
00
10
10
10
00
00
10
00
11
01
10
10
11
00
00
10
00
10
10
00
00
00
10
11
10
00
01
10
11
10
10
11
10
10
11
11
01
10
11
11
00
01
01
01
10
10
10
11
00
01
11
10
00
11
01
00
11
10
00
10
00
11
11
11
00
01
00
10
00
00
10
10
10
00
00
00
01
10
10
11
01
00
01
00
00
00
10
10
11
10
01
11
00
00
00
01
10
00
11
10
10
00
00
10
00
01
00
00
01
00
10
10
10
11
10
01
00
10
01
01
10
01
10
11
10
11
01
00
00
11
00
00
10
01
00
10
01
00
10
00
00
00
10
10
10
00
10
01
00
01
01
01
10
00
11
11
10
00
00
10
00
10
10
00
11
01
10
11
00
01
00
01
10
10
00
01
00
11
01
00
10
00
11
01
00
00
10
10
00
11
11
10
00
10
00
00
00
10
00
10
10
01
10
11
00
10
11
00
00
10
10
00
10
01
00
00
10
00
10
11
10
00
10
11
11
10
01
10
01
10
10
00
00
01
10
10
00
00
00
10
10
01
10
10
11
10
00
11
00
00
00
10
00
11
10
00
00
11
11
00
00
11
00
00
00
10
10
00
00
10
00
00
00
10
11
00
01
00
00
01
10
00
10
10
00
11
01
00
00
00
10
11
11
01
11
10
10
01
10
11
00
00
00
10
10
11
01
10
10
00
00
11
01
01
10
01
00
10
01
10
00
00
10
10
10
10
11
01
11
01
01
00
10
11
10
11
00
00
10
11
00
10
01
00
00
01
10
00
00
10
00
10
10
11
00
00
10
11
10
00
10
11
11
00
00
10
10
11
10
00
00
11
01
00
01
00
11
10
11
11
10
01
01
00
10
01
10
00
00
11
01
01
01
11
10
00
01
00
01
10
10
00
00
10
10
00
01
10
00
01
11
00
10
10
00
01
10
01
00
10
10
01
00
11
01
01
00
01
10
01
10
10
00
11
00
01
10
10
00
00
00
00
01
10
10
11
01
00
10
10
00
00
10
11
01
10
01
01
10
11
01
10
11
00
10
01
10
10
00
00
10
10
11
01
00
00
11
10
00
10
00
00
00
00
10
11
10
01
11
11
00
00
01
00
01
10
00
11
11
01
10
11
00
10
00
10
10
01
00
11
00
10
11
01
00
10
10
00
11
11
00
10
11
00
10
10
10
00
01
00
10
00
01
10
10
01
00
00
00
00
10
01
00
10
10
10
00
11
11
10
00
10
00
11
01
11
10
01
11
10
00
00
01
11
11
00
10
00
11
00
01
10
10
01
11
11
00
00
10
10
00
00
11
10
01
11
00
10
10
11
00
00
11
10
00
00
00
10
11
01
10
10
10
01
00
11
10
10
00
01
10
10
01
01
00
00
00
10
11
00
11
01
11
11
00
10
11
01
01
11
11
01
11
00
00
11
11
00
00
10
10
11
10
01
01
10
10
00
10
10
11
01
00
10
10
00
00
10
00
10
01
10
11
10
10
11
00
00
00
11
10
00
01
11
01
11
00
00
00
11
00
10
10
00
00
10
10
01
01
01
10
10
01
10
01
10
00
00
10
00
00
11
10
11
10
00
11
00
01
00
10
10
10
00
00
00
00
01
10
00
10
10
11
10
11
00
00
00
10
10
10
00
10
10
00
00
01
10
00
01
00
10
00
11
01
01
10
10
00
00
10
00
10
11
01
11
10
00
00
00
10
10
10
00
01
00
01
11
01
10
11
11
01
11
10
00
00
10
11
00
00
10
10
11
10
00
00
00
10
00
00
10
00
10
11
00
01
01
00
10
10
10
01
11
00
11
00
00
10
11
11
10
10
00
00
01
00
11
10
01
10
11
01
01
10
10
00
10
00
00
01
10
11
11
10
01
00
00
01
00
10
10
00
00
00
10
00
00
11
10
00
00
10
10
01
11
01
10
01
00
10
10
10
01
00
11
01
01
11
10
00
11
10
01
10
00
01
11
01
11
10
00
01
10
11
11
00
01
00
11
10
00
00
00
10
11
00
10
11
00
11
10
10
01
00
10
00
01
11
11
11
01
11
10
01
00
01
10
11
01
00
10
10
11
00
01
10
10
01
10
00
01
11
11
10
00
11
11
00
01
10
00
10
00
00
00
00
10
10
00
00
00
00
10
10
00
10
10
11
01
00
11
10
00
10
01
11
11
00
00
10
10
00
00
11
11
00
10
00
00
11
00
01
10
10
11
00
01
00
01
10
00
00
11
11
10
10
00
10
11
00
10
01
00
10
11
11
10
11
00
01
00
10
00
01
10
11
10
00
10
00
01
10
01
01
10
11
11
10
00
10
10
10
00
01
10
00
01
00
11
01
10
10
10
11
00
01
00
01
01
10
11
10
00
11
00
11
00
00
11
00
01
00
00
10
10
00
00
00
11
10
00
00
10
11
00
11
11
01
01
10
10
11
10
01
10
10
11
01
01
01
00
10
00
01
00
01
10
10
00
10
10
01
10
10
01
11
10
10
10
00
01
10
01
10
11
00
00
10
10
00
10
00
00
10
10
00
00
00
10
01
10
11
00
11
00
00
00
10
00
00
10
00
10
00
11
11
00
01
01
10
10
00
00
11
10
11
00
00
01
00
11
10
10
11
11
00
00
11
11
11
00
11
11
00
10
10
01
01
00
10
11
01
11
10
11
00
01
10
11
10
01
10
00
01
11
00
00
00
10
10
00
10
10
00
11
01
01
01
00
00
00
10
10
00
00
10
10
10
00
01
00
10
10
00
10
01
00
10
10
00
10
10
00
00
00
00
00
11
10
11
11
00
00
01
01
01
10
10
00
01
10
10
00
01
10
00
11
00
00
00
11
11
10
00
10
10
01
00
10
10
11
01
00
01
11
10
00
11
10
11
10
00
01
00
10
10
10
00
10
10
10
10
01
10
11
01
10
10
11
10
10
00
00
01
10
11
11
01
11
10
00
01
10
11
00
00
10
10
01
11
01
00
10
01
01
10
00
01
10
10
00
00
10
00
00
11
10
00
00
10
00
00
10
11
11
11
00
10
00
01
00
01
10
00
11
01
01
01
10
11
00
01
10
10
11
00
10
10
11
10
01
00
00
10
10
11
00
10
10
00
00
00
10
00
00
11
01
10
10
10
00
00
00
10
10
00
00
00
00
00
00
10
11
10
01
10
00
00
11
10
11
01
01
01
10
00
10
11
11
11
10
01
10
00
00
10
00
00
10
10
01
00
10
10
00
11
01
10
10
10
00
10
10
01
10
01
00
01
01
11
10
00
10
10
00
00
10
10
00
00
01
10
00
01
10
00
00
11
00
01
00
10
11
10
10
00
01
10
10
00
00
11
00
00
00
11
11
00
10
00
11
10
10
00
00
00
10
10
00
10
00
11
00
10
11
11
11
00
01
11
11
00
00
00
11
01
00
11
10
00
11
00
10
00
00
11
11
10
11
10
00
00
10
10
10
00
11
00
11
00
00
11
00
00
11
01
01
00
11
01
01
10
10
10
00
01
11
00
00
10
10
01
11
11
10
00
00
01
10
10
10
00
10
00
00
11
10
00
01
10
00
00
00
00
00
00
01
11
11
00
00
10
10
10
00
10
01
00
10
00
10
01
10
01
10
10
00
00
01
10
00
00
11
01
10
00
11
01
00
10
00
01
10
10
00
11
00
00
10
10
11
00
10
00
01
00
10
00
10
01
10
10
01
10
00
00
10
01
10
10
00
11
01
01
00
11
10
11
01
10
01
00
00
10
01
00
10
11
01
10
10
10
10
11
01
00
00
00
10
10
10
00
10
10
11
01
00
10
11
11
00
10
00
00
01
10
00
00
10
00
11
00
10
00
01
01
11
10
11
11
10
10
00
00
10
11
00
11
01
01
01
01
10
11
10
00
00
10
00
01
10
11
10
11
11
00
00
10
00
01
00
11
10
11
00
10
10
10
00
01
10
01
10
10
00
11
01
01
10
11
00
00
00
10
10
00
00
00
10
00
00
00
10
01
00
01
01
00
00
10
01
10
10
10
00
10
00
00
11
10
01
00
00
00
00
10
00
11
10
01
10
00
10
10
00
10
10
01
10
00
10
01
10
11
00
00
01
10
10
10
11
00
10
10
11
10
01
01
00
11
10
00
10
10
01
11
01
10
11
00
00
00
10
11
00
00
00
10
00
10
10
01
00
00
10
11
01
00
00
11
00
11
00
10
00
11
11
01
10
11
10
00
00
10
10
00
01
10
11
01
00
10
00
00
11
10
00
00
00
11
00
10
11
10
01
00
10
01
10
10
00
01
10
01
10
11
10
01
11
10
10
00
00
11
01
00
10
01
00
00
00
11
00
00
10
11
10
11
01
01
10
10
00
11
10
00
10
10
00
00
00
00
10
01
01
10
00
10
01
10
01
01
01
10
10
10
10
10
00
10
11
00
01
01
00
01
11
00
00
10
11
01
00
00
11
10
11
10
00
11
10
11
10
01
01
00
10
11
01
01
11
10
11
00
01
10
00
01
10
01
00
10
11
10
10
11
00
01
10
00
00
01
10
10
11
01
11
01
00
10
00
00
10
01
00
10
11
00
10
00
01
11
00
00
11
01
10
10
01
10
01
00
01
00
10
11
10
11
00
01
10
00
10
01
10
10
00
00
01
00
00
11
00
00
00
10
11
10
10
10
00
10
00
10
10
11
10
00
01
00
00
10
01
01
00
01
10
11
10
11
01
10
10
00
01
10
01
00
11
10
10
01
11
10
10
00
01
01
01
10
10
10
10
10
00
11
10
01
01
00
11
10
00
00
11
11
10
00
00
00
01
11
10
01
00
00
10
11
00
00
11
10
01
00
10
10
01
11
11
01
00
00
11
00
00
10
11
00
10
10
01
10
10
00
10
10
10
01
01
10
00
00
10
01
00
10
00
01
11
00
01
01
00
10
11
10
10
10
00
00
00
10
10
00
10
01
00
11
00
10
01
00
10
00
01
00
10
00
11
01
00
10
10
01
11
10
00
11
01
01
10
00
10
10
00
00
00
10
10
10
00
01
10
10
01
10
00
11
11
00
01
00
10
00
11
00
00
10
10
01
00
10
11
00
00
00
01
00
10
10
00
00
11
01
10
10
01
00
11
10
10
01
11
10
00
10
11
00
01
10
00
01
10
10
00
00
11
10
00
11
10
11
00
00
00
00
00
00
10
10
00
00
00
10
10
10
10
11
11
00
01
00
01
00
01
00
10
10
01
00
10
11
00
01
01
01
10
10
10
00
10
10
00
01
00
10
11
10
10
10
11
11
00
00
11
00
01
00
00
01
10
10
11
00
00
01
11
10
10
10
01
01
01
10
01
10
10
00
00
00
10
01
11
10
01
10
00
00
01
10
00
01
01
00
00
10
10
10
00
00
00
01
10
10
11
01
00
00
11
10
01
00
00
01
10
10
00
01
10
01
01
10
10
10
00
10
10
00
10
00
10
10
10
00
00
00
00
00
10
11
00
01
10
11
11
00
10
11
01
01
01
10
10
00
00
00
10
10
00
10
00
00
01
00
01
01
10
01
10
10
01
10
10
11
10
00
00
01
10
01
01
11
01
00
10
01
10
11
01
01
11
01
10
01
11
10
01
11
01
11
11
00
00
01
00
10
11
00
00
10
11
10
10
10
01
10
00
10
00
00
00
10
11
00
11
00
01
00
01
10
11
00
00
10
10
11
01
00
10
01
11
11
00
00
11
10
10
10
00
00
00
11
11
10
00
00
10
01
00
01
11
10
00
00
00
00
01
00
10
01
01
10
10
01
01
00
01
11
10
10
10
11
11
00
01
10
10
00
00
00
10
10
00
10
10
10
01
10
00
00
00
00
11
11
10
00
00
11
10
00
01
10
10
10
00
00
00
01
10
10
00
01
11
10
10
01
00
10
01
10
11
01
10
01
11
11
11
10
00
01
00
10
10
00
00
10
10
00
01
11
11
11
00
00
11
01
10
00
00
10
11
00
10
01
11
00
10
11
00
10
00
00
11
11
10
01
10
10
10
00
00
11
10
00
00
11
11
01
10
01
00
01
10
10
10
01
01
11
10
00
10
10
00
10
11
01
10
10
00
00
10
10
00
01
00
10
11
11
11
10
00
00
00
00
11
10
10
10
00
00
01
10
00
11
00
00
00
00
10
00
00
01
10
00
10
11
10
11
01
01
10
11
10
11
11
00
00
10
11
01
00
00
10
10
00
10
00
10
10
00
01
00
00
00
00
10
10
00
11
10
00
00
00
00
10
00
10
10
01
01
01
01
11
00
10
00
10
11
00
00
10
01
01
11
11
10
10
00
10
00
10
11
00
00
10
11
01
11
00
10
10
10
01
01
01
00
10
11
00
01
10
00
11
11
01
10
11
01
00
01
10
11
01
11
10
00
00
11
10
00
00
10
10
01
10
00
01
10
11
00
00
10
01
11
00
00
00
11
01
00
11
00
00
10
11
00
10
10
00
10
10
11
11
00
00
00
00
00
00
10
01
00
10
00
00
00
10
00
00
00
11
11
10
10
11
00
10
11
00
00
10
10
00
00
01
11
10
01
00
01
00
00
10
10
00
00
10
10
10
10
00
11
01
00
11
01
10
00
11
00
00
00
10
10
00
00
00
01
00
01
10
01
11
11
10
11
10
01
10
11
10
00
10
10
00
01
00
11
11
00
00
01
00
00
10
01
10
00
10
10
00
10
00
00
11
00
01
10
01
00
00
11
10
11
01
01
10
11
00
10
00
00
10
00
00
10
01
00
10
00
00
10
10
01
00
01
11
10
10
11
10
01
00
10
00
00
10
00
11
10
00
00
11
00
10
00
01
11
00
01
11
00
11
01
10
00
01
10
10
00
00
10
00
01
10
00
00
10
10
01
11
00
10
10
11
10
01
01
00
10
00
10
11
00
00
10
00
00
10
00
10
11
10
10
00
10
11
00
00
10
11
00
10
10
00
00
11
00
01
00
10
00
00
11
10
10
00
10
10
00
00
00
00
10
01
00
10
00
00
10
00
11
11
01
00
00
10
11
01
10
00
00
00
10
11
00
11
11
01
10
10
00
00
11
00
10
10
00
00
00
10
00
10
10
00
01
00
00
11
01
11
10
00
00
00
11
11
10
00
10
00
11
01
01
00
10
10
00
10
00
00
10
10
00
10
11
10
10
01
00
00
01
01
10
10
10
00
00
01
01
10
01
10
10
10
00
10
00
00
00
10
11
10
01
00
01
11
10
01
10
11
10
11
00
11
00
10
10
00
11
00
10
11
10
00
01
10
10
10
01
10
00
01
00
10
10
00
01
00
00
00
10
00
10
00
10
00
10
10
01
11
10
10
00
00
00
00
01
10
01
00
10
11
10
00
10
01
00
10
00
10
00
01
01
00
01
10
10
00
11
10
00
00
11
01
00
01
10
10
01
10
11
00
00
11
10
00
10
01
10
01
11
00
10
10
10
01
10
10
01
01
01
10
10
10
10
01
11
00
00
10
01
00
10
10
10
01
11
11
01
00
10
10
00
10
10
01
00
00
01
10
10
00
01
00
00
10
10
10
00
10
10
00
00
01
10
10
01
10
00
11
01
10
00
11
10
11
11
01
11
10
10
01
00
10
00
10
01
00
10
00
01
01
10
01
01
10
01
00
11
11
00
01
10
01
10
10
00
01
10
10
01
00
11
10
10
11
10
01
00
00
10
10
00
10
00
10
10
00
10
01
00
00
00
01
10
11
00
00
10
10
10
01
00
10
10
11
00
00
00
10
00
01
00
11
11
01
10
10
10
00
00
10
00
01
11
00
01
00
00
11
01
01
11
10
01
10
01
10
00
00
11
11
00
00
00
00
01
10
10
00
11
00
11
00
11
01
01
10
00
11
00
01
10
10
00
00
01
10
10
00
10
01
10
10
11
11
10
11
00
00
01
01
10
11
00
11
10
00
10
00
10
11
11
11
01
10
01
10
00
00
10
11
00
00
11
11
00
01
00
10
00
10
00
00
00
10
10
10
00
10
11
00
00
11
01
00
10
10
10
11
00
10
01
00
11
00
10
00
10
10
00
10
11
11
11
01
00
00
00
00
00
10
11
00
01
00
01
01
10
10
11
10
01
01
10
01
00
10
01
10
11
00
01
10
00
00
10
01
11
11
01
00
11
10
01
10
11
01
10
10
00
00
10
10
00
00
10
00
00
10
00
11
01
10
00
00
10
10
00
01
10
11
10
01
00
10
11
01
00
11
00
00
10
00
01
10
11
10
01
11
00
11
10
00
00
00
10
10
01
00
01
11
00
10
01
01
00
01
10
01
01
10
00
00
00
11
00
01
11
10
10
01
10
00
10
10
10
00
10
01
00
00
01
01
01
11
00
11
10
00
11
01
10
10
01
00
00
10
10
11
01
11
01
00
00
00
01
10
01
00
10
00
10
00
10
10
01
11
00
01
00
10
00
00
10
10
00
00
00
00
01
00
10
10
00
10
00
10
10
00
10
11
00
11
11
00
00
10
10
10
00
00
10
11
01
10
00
11
10
11
10
10
10
00
10
00
10
11
10
00
00
01
11
00
11
10
01
10
10
11
10
10
00
00
10
00
10
10
00
10
00
10
10
10
10
01
11
00
00
01
11
00
00
00
10
00
10
10
10
11
00
10
00
10
00
00
10
00
10
01
00
01
10
10
11
00
01
10
11
00
10
10
01
00
10
00
00
10
00
00
11
00
11
10
00
00
00
01
01
00
01
00
10
01
10
10
00
01
10
11
00
00
10
10
11
00
10
10
00
11
00
01
11
11
10
00
01
10
00
00
10
10
01
00
00
10
10
10
10
10
00
10
00
10
10
01
10
00
00
00
11
10
00
01
00
11
10
10
00
11
10
10
00
00
10
10
00
00
00
10
01
00
00
00
11
00
00
01
10
10
10
11
00
00
01
10
10
00
00
01
00
11
10
00
10
10
11
01
00
10
11
10
10
00
00
00
11
10
10
10
10
10
01
00
11
10
00
11
00
10
00
00
10
11
10
00
11
10
10
11
10
01
00
01
11
10
11
00
10
11
11
01
01
00
10
10
00
00
10
10
11
10
00
01
01
10
01
10
11
10
11
11
00
01
00
11
10
10
11
01
00
11
10
01
11
10
10
00
00
11
01
11
00
00
10
10
11
00
00
10
10
10
10
11
00
10
10
00
00
00
11
10
01
11
11
01
00
10
10
10
00
00
10
10
10
00
11
01
00
01
10
10
00
10
10
11
00
00
00
00
00
00
00
11
01
11
10
10
10
00
00
10
00
00
11
10
11
00
01
10
10
10
10
01
00
11
11
01
11
01
10
00
11
10
00
00
11
10
00
10
00
11
11
01
00
10
11
00
10
00
11
11
10
01
00
00
01
10
10
00
01
11
00
00
10
10
10
00
10
00
00
10
00
00
00
01
10
10
10
00
10
01
01
01
10
00
10
10
10
00
01
10
00
10
00
10
00
11
11
01
00
00
10
11
00
11
10
00
10
01
11
10
11
00
00
10
10
01
01
10
10
10
00
01
10
01
01
11
11
10
10
10
00
01
11
11
01
11
10
00
00
10
01
00
10
11
00
00
11
00
10
10
00
00
10
11
00
00
11
00
00
00
10
11
10
00
00
10
10
00
00
01
00
10
11
01
01
10
10
11
11
11
00
10
00
11
10
10
10
01
11
10
00
00
11
00
10
10
11
01
11
10
01
00
10
10
11
10
00
01
10
11
10
11
00
00
00
00
10
10
10
00
11
00
01
10
10
00
10
00
11
10
01
10
10
01
10
10
00
00
10
00
00
10
11
00
01
01
11
00
00
00
11
00
01
11
10
11
01
00
00
00
10
10
00
11
10
00
00
00
01
11
01
10
10
00
10
00
10
00
10
00
01
10
11
10
01
00
11
01
01
01
11
11
01
00
11
10
00
00
10
01
00
11
10
10
00
11
10
11
10
01
10
00
00
01
00
10
10
01
00
00
10
10
10
00
01
00
01
11
10
01
01
01
10
00
11
10
10
01
00
11
10
10
11
00
01
10
10
00
00
00
11
11
00
10
00
10
11
00
11
10
00
00
00
10
00
00
10
11
00
00
10
10
00
10
10
10
10
00
00
10
10
01
00
01
01
00
01
11
11
10
10
00
01
00
11
10
00
11
00
10
00
00
11
10
00
10
00
00
01
00
11
11
00
01
00
01
00
01
10
11
00
01
10
10
00
01
10
10
01
00
10
10
01
10
00
11
10
00
10
11
10
11
00
00
10
00
11
10
01
00
11
00
00
11
11
00
00
10
10
11
10
10
01
10
10
10
01
01
11
10
01
11
10
10
10
00
10
01
01
10
11
00
00
00
10
10
10
00
00
00
00
00
00
00
10
00
10
10
11
11
00
11
00
10
01
00
01
11
00
01
11
11
10
10
00
11
00
00
10
10
10
10
01
00
00
01
01
01
10
10
00
00
11
10
00
00
01
11
10
10
11
00
00
00
11
11
11
10
01
10
00
10
11
01
00
10
10
11
00
10
10
01
10
10
11
01
10
10
10
00
00
00
00
00
10
11
10
10
00
10
00
00
01
10
11
01
11
10
00
10
10
10
00
01
00
00
10
11
11
00
00
10
10
01
00
00
00
00
00
11
10
11
11
00
10
11
10
10
11
01
00
01
10
10
10
00
10
11
00
11
00
00
01
00
10
00
01
10
01
11
01
00
10
00
00
00
10
11
01
11
00
00
01
10
01
00
11
10
10
10
10
00
00
11
10
10
00
10
10
00
10
10
11
10
01
00
00
10
11
11
10
10
00
01
10
10
10
00
10
00
00
11
10
00
10
00
10
10
01
10
00
00
01
11
10
10
01
10
00
10
00
00
10
00
11
10
11
00
11
10
10
01
10
00
00
01
00
11
00
01
10
10
10
11
10
00
00
10
00
00
11
01
00
00
00
10
01
11
11
01
00
00
00
00
10
11
10
10
01
01
00
01
11
00
00
10
00
10
11
01
00
00
10
11
10
01
00
10
01
01
10
10
01
11
00
00
00
11
11
11
11
00
11
10
10
01
01
10
10
00
10
10
11
00
00
10
00
00
00
10
10
10
11
00
00
10
11
11
00
10
10
00
00
10
00
11
11
01
00
01
11
10
01
10
00
00
00
10
10
01
00
00
11
01
00
10
00
10
11
10
00
00
10
11
00
11
00
01
10
10
00
00
10
11
10
00
00
11
00
00
10
00
00
00
10
10
00
10
01
10
10
10
00
11
10
00
10
10
00
00
10
10
01
00
10
01
10
11
00
00
10
00
00
10
11
10
01
11
10
00
10
10
00
00
11
10
01
11
01
00
10
10
10
10
01
00
11
11
10
00
11
11
01
10
10
00
10
10
00
00
11
11
00
11
01
11
00
00
10
00
10
10
01
01
00
10
10
00
01
01
10
10
01
00
01
10
10
01
01
11
00
10
10
10
10
00
00
10
11
00
00
11
10
10
01
00
11
01
00
11
00
10
10
00
00
00
10
11
00
10
11
00
01
00
10
10
01
00
10
00
01
10
10
00
10
11
01
00
11
00
01
11
11
01
00
00
10
01
10
01
01
11
01
00
00
11
01
11
00
00
10
10
00
10
10
00
01
11
00
00
10
11
00
01
10
11
00
01
10
10
10
10
00
00
00
11
10
01
11
10
10
00
00
00
00
10
01
01
10
01
10
00
10
11
11
10
10
00
11
00
01
10
01
10
11
10
11
00
10
00
00
01
10
00
00
10
00
11
00
10
10
11
01
10
10
10
10
00
11
00
01
10
11
00
00
00
01
00
11
00
01
01
11
00
00
11
10
10
10
11
00
00
00
00
10
10
10
00
10
10
00
00
10
00
11
00
00
11
10
00
11
10
10
10
00
11
00
01
10
10
00
00
00
10
01
00
11
00
11
10
11
01
00
01
10
00
00
01
11
10
00
11
00
10
10
01
01
10
00
11
00
10
00
01
00
01
10
00
00
10
10
00
00
11
11
01
01
10
11
11
01
11
00
01
00
00
10
01
00
10
11
10
10
01
10
10
01
11
00
10
01
00
01
01
00
00
00
10
10
11
10
00
10
11
01
10
00
00
11
01
11
11
01
00
10
10
00
00
10
10
00
00
00
10
01
00
00
10
10
11
01
10
10
10
01
10
10
00
10
00
10
10
00
01
00
11
11
11
10
10
00
01
00
00
11
00
10
00
01
10
10
00
00
10
10
00
01
10
00
00
00
00
10
00
00
11
10
10
01
01
01
01
01
10
10
10
00
00
10
10
10
00
00
10
10
01
00
00
10
11
10
10
00
00
11
01
01
00
10
00
11
00
01
10
00
11
01
10
10
00
10
10
01
00
01
00
10
10
00
11
10
00
01
10
11
10
10
10
10
10
01
00
11
10
00
00
01
00
10
11
01
11
00
01
10
10
01
00
11
00
00
11
01
11
10
10
00
10
00
00
10
11
01
10
10
00
00
00
10
10
01
00
10
11
01
10
01
10
10
01
11
01
10
10
01
00
11
11
00
00
00
00
00
01
10
10
00
11
00
00
11
00
11
10
11
10
10
11
10
01
00
11
01
10
11
00
10
10
00
00
00
10
10
00
00
11
10
01
11
10
11
10
00
01
10
10
11
01
00
00
10
00
11
10
11
01
00
01
10
10
11
00
00
11
01
00
10
01
10
10
01
00
01
00
00
10
10
00
00
10
10
01
00
00
11
00
10
00
00
00
00
11
10
10
01
01
01
00
11
00
10
10
01
01
10
10
01
00
01
00
11
10
11
11
00
01
11
00
00
10
01
00
01
11
11
00
01
00
10
00
10
11
00
00
00
11
00
11
10
00
00
01
11
11
10
10
10
10
11
00
10
10
11
00
00
00
10
11
00
00
00
10
10
10
00
10
10
01
11
00
00
11
11
01
00
11
10
00
10
00
00
10
01
00
11
00
01
11
00
10
10
01
00
00
00
10
00
10
10
00
11
01
00
11
10
11
11
01
00
01
00
10
00
00
11
11
10
10
00
00
11
10
01
00
01
00
10
01
01
11
01
11
10
00
01
01
00
10
10
10
10
11
10
01
01
10
10
11
11
00
11
11
01
01
00
10
10
00
00
01
00
11
00
11
00
00
00
00
00
11
10
10
10
00
00
00
10
10
10
11
01
00
01
00
11
01
00
10
10
00
11
11
01
10
11
10
00
01
01
01
11
10
00
10
10
00
00
10
11
00
11
00
11
00
00
00
00
01
10
00
01
11
10
10
00
00
00
10
01
10
01
10
10
10
10
00
10
11
01
00
00
11
10
11
10
10
00
00
00
10
01
01
10
11
00
00
10
00
00
11
00
10
11
11
01
10
10
10
10
00
10
01
00
10
00
00
10
00
10
10
10
10
10
01
10
00
10
00
11
11
10
00
00
10
10
00
01
10
00
00
10
00
00
00
10
00
00
11
10
00
01
10
00
10
10
00
00
10
00
10
10
10
00
01
00
00
10
00
01
10
00
11
10
10
10
00
01
10
10
10
11
01
00
00
01
00
00
11
10
01
11
00
00
11
10
10
10
10
10
00
01
00
11
11
01
00
10
00
01
10
11
10
00
01
11
10
00
01
11
01
00
00
10
01
00
00
10
10
00
00
10
10
01
10
01
10
10
00
10
01
00
11
10
11
00
01
01
10
01
00
00
11
10
00
00
10
01
11
11
10
00
11
10
00
01
10
10
10
01
00
10
01
10
00
11
00
10
01
00
10
00
00
01
10
11
00
11
10
11
10
00
00
11
11
11
11
00
00
11
00
00
11
10
01
00
10
00
10
11
00
11
00
11
10
10
11
10
00
00
01
00
11
10
00
11
11
10
10
10
10
11
00
10
01
00
10
00
10
01
10
00
00
01
01
10
00
00
11
00
01
10
11
10
10
10
00
01
10
11
00
10
10
01
00
00
11
11
10
10
00
10
11
10
00
00
00
00
10
10
00
11
00
01
10
00
10
11
11
11
11
01
00
10
10
10
00
11
10
11
10
00
00
01
00
01
10
00
11
11
11
10
10
10
01
00
11
00
00
00
00
10
00
10
10
11
10
00
00
01
10
00
00
10
10
00
00
11
11
00
11
10
00
01
00
11
10
10
10
01
11
11
00
01
11
10
00
10
11
01
00
11
01
11
11
00
00
11
10
01
00
01
11
10
10
01
00
10
10
00
10
10
10
10
11
10
01
10
10
10
10
01
00
01
11
00
11
11
10
00
10
10
10
01
10
10
00
10
10
01
10
11
10
00
10
00
00
00
10
00
11
10
01
11
10
00
10
00
01
00
11
00
00
11
01
11
10
10
00
10
10
00
00
01
10
10
11
00
00
11
00
11
00
00
11
11
00
00
00
10
11
01
00
10
00
00
00
10
00
00
11
01
00
01
11
11
01
10
10
00
01
01
10
10
00
01
10
01
01
10
00
11
10
00
00
11
10
00
01
11
00
01
00
10
11
10
10
10
00
00
10
11
00
11
00
10
10
00
10
00
10
10
11
00
00
11
10
10
00
00
01
01
10
10
10
00
10
10
10
01
00
10
10
00
11
00
10
00
11
00
01
11
10
01
10
10
00
00
10
10
10
00
11
11
10
11
10
00
11
01
00
00
00
10
01
00
01
01
10
11
10
10
10
01
00
10
10
00
00
00
10
00
00
11
00
11
00
10
00
10
10
10
10
00
00
10
10
10
00
01
00
10
10
01
01
10
00
00
01
00
10
11
10
11
00
00
00
11
11
11
11
00
11
00
00
00
11
01
01
01
10
01
10
00
10
10
01
01
00
10
10
00
11
01
01
00
10
10
10
10
01
11
11
00
00
10
00
10
01
10
11
10
11
00
11
01
00
10
10
00
01
00
00
10
11
10
10
01
10
01
10
10
00
11
10
00
11
10
00
10
01
11
10
00
10
01
10
11
10
00
00
11
10
00
01
10
10
00
10
10
01
01
10
01
10
10
00
10
00
11
10
00
11
10
00
00
00
01
00
10
11
10
00
10
01
00
11
00
00
10
11
01
00
10
10
00
11
10
00
10
10
01
11
11
11
00
00
10
01
00
00
10
11
11
10
01
11
01
01
01
10
10
10
00
10
10
00
01
00
00
00
00
01
11
11
11
00
10
01
01
00
01
11
10
10
00
01
01
11
10
01
11
00
01
01
11
11
00
00
10
01
00
10
10
00
00
11
11
00
10
10
10
10
01
00
10
00
00
11
10
10
01
11
11
10
11
00
01
00
00
10
11
10
01
11
10
10
10
00
00
11
11
00
10
11
00
00
10
00
00
01
00
11
10
11
00
10
11
00
00
10
10
00
00
00
00
00
10
01
11
00
11
11
01
00
10
00
11
10
01
01
10
11
00
00
00
10
11
11
10
01
00
10
10
10
11
10
11
00
00
11
10
10
01
11
10
11
01
00
00
01
11
10
00
00
11
10
11
01
00
10
11
00
10
10
00
00
11
10
01
11
10
00
10
01
10
00
00
11
10
01
10
00
11
01
11
10
10
00
00
01
01
11
11
00
10
10
10
00
00
00
11
10
00
00
10
10
10
10
10
01
10
10
01
00
10
10
00
00
11
10
00
10
00
10
11
00
10
00
00
00
10
11
10
10
10
00
00
10
00
01
00
01
11
10
00
00
00
10
01
00
10
00
00
10
00
11
10
00
00
00
00
01
10
11
00
00
00
01
00
01
00
11
11
00
11
10
10
11
11
00
00
10
10
01
10
01
01
11
10
11
00
11
10
00
00
10
11
00
00
00
11
01
01
00
10
10
00
01
00
10
10
01
01
10
11
00
10
00
00
10
11
00
00
00
11
00
10
00
01
10
10
00
00
00
10
10
00
11
01
00
11
00
01
01
00
10
11
10
11
01
00
00
00
10
00
10
10
10
11
10
00
01
00
10
00
00
11
01
10
11
00
01
00
01
11
11
00
01
10
10
10
00
10
00
01
11
01
01
00
11
00
00
10
11
01
00
10
11
00
00
10
00
10
10
00
11
11
01
10
00
11
11
00
10
11
00
01
00
01
11
00
10
11
00
01
10
11
00
00
10
10
00
00
10
10
00
11
10
00
10
00
10
10
10
00
11
01
01
10
10
01
10
01
00
11
00
11
11
10
11
00
10
00
10
10
11
10
00
00
10
00
11
00
01
00
01
10
00
01
10
00
10
11
00
10
10
00
00
10
11
11
01
10
11
00
00
10
00
10
10
10
11
00
00
00
10
00
10
11
00
00
11
10
11
00
01
11
01
00
10
10
10
10
00
10
10
01
00
00
10
10
00
00
10
10
00
01
01
10
11
00
00
00
00
11
10
11
00
10
10
01
00
00
01
10
10
00
10
10
11
10
00
10
00
00
11
00
01
11
11
11
11
10
10
11
11
00
01
11
01
10
10
00
00
00
11
00
00
10
10
00
10
01
00
11
00
10
00
01
01
01
10
10
00
10
00
00
00
10
00
00
00
10
01
00
00
11
10
00
11
10
01
00
00
10
10
01
00
11
10
10
01
10
11
01
01
01
00
11
10
01
00
10
10
00
10
01
10
11
00
00
00
11
00
11
11
00
10
10
10
11
00
00
00
11
10
01
00
10
00
10
11
10
00
01
00
00
00
11
01
10
11
00
10
00
00
10
10
00
00
11
10
10
10
00
00
11
01
11
10
00
01
00
10
00
00
10
10
00
00
00
01
00
01
11
01
01
01
00
00
11
10
10
00
01
10
11
10
10
10
00
01
10
11
01
00
11
10
11
00
11
10
11
10
01
10
00
00
11
10
10
10
10
01
00
10
00
10
00
00
00
00
01
00
11
10
00
10
11
01
01
00
10
01
00
11
00
00
11
10
00
10
11
00
10
10
00
11
10
11
10
00
00
00
10
10
01
01
11
00
01
01
10
10
01
00
11
01
01
10
00
01
10
00
00
10
10
00
10
00
11
00
01
01
11
10
01
10
10
11
01
00
01
10
11
00
10
10
11
11
11
11
00
10
10
11
11
00
01
01
01
00
10
10
00
00
10
10
00
00
10
01
00
11
10
00
00
10
10
00
11
11
10
00
01
10
10
11
10
11
01
00
00
10
00
00
10
11
00
11
01
10
01
01
11
10
01
11
10
00
01
10
11
10
01
10
10
00
11
10
00
10
10
01
00
00
00
11
00
00
01
00
10
10
01
00
10
01
11
11
01
11
00
10
11
00
00
10
11
00
10
01
01
11
10
00
11
11
00
01
00
10
00
00
10
00
01
11
00
00
00
00
01
00
10
00
10
00
10
10
10
01
10
10
00
00
00
10
01
00
01
10
11
10
01
10
10
10
00
11
11
10
11
10
01
11
00
11
00
00
11
01
00
10
00
11
00
11
10
00
10
11
11
00
00
00
01
10
10
11
00
00
00
00
10
00
01
11
10
01
00
11
11
01
00
10
10
00
00
10
00
00
11
00
00
00
11
00
00
10
10
00
01
10
10
00
00
11
00
10
00
00
10
00
01
11
11
00
10
00
11
01
10
10
00
01
10
10
10
10
11
00
01
10
00
11
10
00
11
00
00
10
00
00
01
10
00
00
00
01
10
10
00
00
11
11
00
00
00
00
01
10
10
11
00
10
00
10
10
11
00
00
11
10
10
00
00
01
00
00
10
10
00
11
10
11
10
00
10
00
10
10
10
10
10
10
01
01
11
00
11
10
01
11
10
00
10
10
00
10
00
10
00
00
00
00
00
11
00
10
00
10
10
01
01
01
00
11
11
10
10
10
01
00
00
10
11
01
00
01
00
01
10
00
11
10
10
00
10
10
10
01
00
00
10
11
10
11
00
01
10
10
10
00
01
01
01
11
00
10
10
11
10
00
00
10
10
00
10
11
00
01
10
01
01
00
10
00
00
10
10
10
00
00
11
00
10
10
10
11
00
00
11
10
01
00
11
10
00
00
01
00
00
01
10
11
11
11
01
00
10
00
00
10
00
01
10
11
11
11
00
10
10
00
00
11
10
00
01
10
10
11
11
00
01
01
01
01
10
10
10
00
10
11
01
01
00
10
00
10
00
11
10
00
01
11
10
01
00
00
00
00
11
10
00
00
11
10
11
00
00
11
10
00
00
11
10
00
01
00
00
00
00
11
00
10
11
10
01
10
10
10
10
10
00
10
10
00
00
10
00
11
10
01
00
00
01
00
11
10
11
10
10
00
00
00
10
00
10
10
00
11
11
00
00
01
00
00
00
01
10
00
01
10
10
00
00
01
10
10
00
01
10
01
00
00
11
00
01
00
10
11
10
00
11
00
01
01
00
10
10
01
00
10
11
10
01
10
00
01
01
10
00
10
11
11
01
00
11
10
11
00
01
10
10
00
00
10
00
01
11
10
11
00
10
10
01
11
10
00
00
00
10
10
11
00
10
11
01
10
01
01
11
10
00
00
10
01
01
10
10
10
01
01
10
00
11
00
00
00
00
11
01
00
00
00
11
11
11
11
00
10
01
00
11
11
01
10
10
10
00
01
10
00
01
10
11
10
01
00
11
10
10
10
00
00
10
11
10
00
01
10
11
10
00
01
10
11
00
01
10
10
11
10
00
00
10
11
10
01
01
00
01
10
00
00
01
11
00
11
10
00
10
01
00
10
10
00
01
00
00
01
00
10
10
00
00
01
00
01
00
10
10
11
10
11
00
00
00
00
00
11
10
01
10
11
00
01
00
10
11
10
01
00
10
10
00
10
00
00
10
10
11
01
01
10
01
00
10
10
00
11
11
10
10
01
00
00
00
10
10
10
00
01
01
01
11
00
00
00
10
10
10
01
00
11
01
01
10
11
00
01
10
00
00
11
10
01
00
10
10
10
10
01
01
11
00
00
01
10
01
11
11
00
00
00
11
00
00
01
01
00
10
00
11
10
01
10
00
00
11
10
01
00
11
10
00
10
10
00
01
11
00
00
11
10
10
11
00
00
10
10
00
01
10
01
10
01
00
10
00
10
01
00
11
00
01
01
00
00
10
10
00
10
10
01
11
10
10
11
00
10
10
00
00
11
00
01
10
00
11
00
00
00
00
11
00
11
00
01
10
10
10
00
10
10
01
10
11
01
00
01
00
00
10
00
10
01
10
11
00
00
00
10
10
00
00
11
00
00
10
10
00
00
01
10
10
11
01
00
00
00
11
00
00
01
00
10
10
00
10
00
10
01
10
10
00
00
00
11
10
10
01
00
11
10
10
00
00
10
10
10
01
01
11
10
00
11
00
10
11
10
01
10
10
01
10
00
01
10
10
00
00
00
00
10
10
00
01
00
00
10
01
11
11
00
00
10
10
10
01
00
10
10
10
10
10
11
10
10
01
00
00
00
10
01
11
10
00
10
00
00
00
00
11
10
10
11
10
00
11
00
10
11
00
00
10
10
01
01
00
11
01
01
11
10
11
01
00
11
10
00
00
10
10
00
01
10
00
00
00
10
10
00
00
01
10
00
00
00
11
11
01
10
10
01
11
10
00
10
00
01
11
00
10
00
10
10
00
10
01
11
11
00
00
00
10
10
00
11
11
11
00
00
00
00
10
11
00
01
00
10
10
10
10
00
10
10
01
10
10
00
00
10
01
11
10
01
01
10
00
00
11
01
00
11
11
10
00
10
00
11
00
01
01
00
00
11
10
10
01
00
10
00
10
00
10
10
10
01
00
11
00
00
01
10
01
00
10
11
01
01
10
01
10
10
10
10
00
10
10
01
01
00
00
10
10
10
00
10
11
10
11
00
00
11
10
00
00
00
11
10
01
11
00
01
01
10
10
10
01
11
11
00
10
11
00
01
00
01
01
10
11
11
11
01
01
10
01
10
10
01
10
00
11
00
00
10
00
10
01
00
10
00
00
10
10
00
01
10
00
11
11
10
10
00
11
01
00
00
10
11
11
11
00
00
11
10
00
00
00
10
11
10
01
10
10
10
00
00
10
10
01
01
11
11
00
10
10
11
00
10
10
01
00
00
00
01
10
00
11
11
00
11
10
10
10
10
00
01
10
00
11
11
00
01
01
00
00
00
10
10
00
00
01
10
00
11
10
00
10
11
00
01
10
00
10
11
01
11
00
01
11
01
11
00
00
00
11
10
11
10
01
00
11
00
01
00
10
10
01
10
10
00
00
10
00
00
00
11
10
00
01
10
10
00
10
10
11
00
11
01
01
01
11
10
00
10
10
00
10
11
00
01
00
10
10
00
10
00
00
11
01
10
00
00
00
10
01
10
00
00
11
00
00
11
11
10
00
00
10
11
10
00
00
10
00
10
10
00
10
11
11
01
01
00
00
10
11
01
01
11
11
10
00
00
01
00
10
10
00
00
01
00
11
10
01
11
00
10
00
10
10
00
00
10
10
01
00
00
10
10
01
00
10
00
11
10
10
00
00
10
11
00
00
00
00
00
10
10
10
00
11
00
01
10
00
10
00
01
10
00
01
10
11
10
00
11
10
10
00
01
10
00
11
11
01
00
01
00
10
10
01
00
10
10
10
01
10
10
00
00
10
01
01
10
00
01
10
01
01
11
11
00
10
10
10
00
10
10
00
10
10
11
01
01
00
00
01
00
00
11
11
01
10
00
00
10
00
00
01
10
10
01
00
01
10
10
01
00
10
00
00
10
10
10
00
00
10
01
01
00
11
11
11
10
00
10
10
10
00
01
10
10
10
00
10
11
11
01
01
10
00
10
10
00
10
10
00
01
11
01
10
11
10
01
10
10
00
01
10
10
01
01
10
11
00
11
01
01
10
10
11
00
01
10
01
11
10
11
00
10
00
10
11
00
01
10
00
00
01
00
11
10
00
10
10
00
00
01
10
00
00
10
00
11
11
01
10
10
11
01
11
10
00
01
10
00
00
10
10
11
10
00
00
11
10
10
00
01
00
00
11
10
01
00
00
10
00
01
10
10
00
10
00
01
00
00
10
10
00
00
01
11
11
01
10
10
11
10
10
00
00
00
10
11
01
10
00
00
10
10
01
10
11
00
11
00
01
10
10
00
01
00
10
10
00
01
00
00
10
10
01
00
00
00
10
00
00
10
01
10
10
10
10
10
10
01
01
11
10
01
00
00
11
10
10
01
00
10
10
00
01
00
10
00
11
00
01
00
01
11
01
11
00
11
10
01
00
10
10
00
11
10
10
00
00
00
10
10
00
10
10
01
10
10
00
00
10
10
10
11
10
00
00
10
10
00
10
00
01
10
00
10
10
01
00
00
01
10
00
01
00
01
10
00
10
10
00
00
01
11
00
01
00
00
10
01
00
10
11
00
00
10
10
00
00
10
01
10
00
10
10
10
00
10
10
10
00
00
00
00
10
11
00
00
10
00
01
11
11
10
10
10
01
00
01
11
10
00
00
11
10
10
00
11
00
00
10
00
00
10
10
11
10
11
10
00
11
10
11
01
00
11
10
10
01
10
10
00
10
11
10
00
00
10
00
10
10
00
01
00
10
10
00
11
00
10
11
00
11
10
00
01
10
00
00
10
00
01
10
10
01
10
00
00
01
00
10
11
10
00
10
11
10
10
00
01
10
00
00
10
10
11
11
11
00
01
00
10
01
01
00
00
10
11
10
00
01
10
10
01
10
10
10
00
10
11
00
00
01
11
01
00
00
10
10
10
00
00
10
11
00
00
10
10
10
00
11
11
00
00
00
01
01
10
10
00
00
01
00
01
10
10
10
00
00
01
10
10
11
01
10
00
00
00
00
01
01
10
11
00
01
00
00
00
10
00
00
00
10
00
10
11
11
00
01
00
00
10
10
00
10
10
00
11
10
01
10
00
00
01
00
11
11
00
10
11
00
00
10
11
00
00
00
01
10
11
00
11
10
01
10
00
01
01
10
10
00
10
10
00
00
01
00
11
01
01
10
11
10
00
01
10
10
01
00
10
01
11
10
10
10
10
00
00
00
10
01
10
11
00
01
11
11
10
01
00
10
00
01
11
10
10
00
00
01
10
11
00
00
01
00
01
10
00
10
10
00
10
00
00
01
10
01
00
10
01
10
01
10
00
00
10
10
10
11
11
01
10
10
00
11
11
00
00
10
10
00
00
11
10
11
00
01
00
00
10
00
00
00
10
11
01
00
00
11
00
01
11
00
10
10
10
10
10
00
00
00
10
10
10
01
00
10
00
00
01
10
11
00
11
11
01
00
10
01
01
00
00
00
10
00
11
11
10
10
00
00
10
11
01
01
01
11
00
01
00
11
00
01
01
11
10
01
11
00
00
10
11
01
01
10
11
01
11
00
00
00
10
00
00
11
10
00
00
10
10
00
00
00
10
10
00
10
11
11
00
01
00
00
10
01
10
10
10
00
11
10
00
10
00
10
10
00
11
10
01
00
00
10
11
10
10
10
00
01
01
10
00
00
10
11
11
11
01
10
10
00
01
00
10
10
00
01
01
10
10
00
00
10
01
00
01
11
11
00
01
00
10
11
00
11
10
01
10
11
01
00
00
11
11
00
00
11
10
01
01
10
10
00
11
01
11
10
01
01
00
10
10
00
11
00
00
00
01
01
10
01
00
10
10
10
01
00
00
10
10
11
10
01
10
10
00
00
11
11
00
11
10
00
00
11
01
01
11
00
00
00
10
10
01
00
11
00
00
10
01
00
10
00
10
10
01
11
10
00
00
00
00
11
10
11
00
00
10
00
10
10
00
01
10
10
00
01
10
11
00
00
00
01
00
11
00
00
10
00
10
10
10
00
10
00
00
11
00
01
01
11
10
00
10
10
11
01
10
00
00
10
00
00
01
11
11
01
10
00
10
11
10
11
01
01
00
11
00
11
00
00
01
00
11
00
11
11
10
10
10
11
00
00
00
00
11
00
10
10
00
01
10
00
00
01
10
11
11
10
11
00
10
10
01
00
01
10
10
11
11
11
00
00
10
10
10
10
01
00
00
00
00
11
10
00
00
10
10
01
10
10
11
00
00
10
01
11
10
00
11
00
10
01
00
01
11
01
10
00
00
00
10
10
10
11
01
00
01
00
10
00
10
11
10
00
00
00
00
00
00
10
10
00
10
11
11
00
00
00
11
00
00
00
01
11
00
00
10
00
00
11
10
10
10
10
10
00
10
00
01
10
00
11
10
00
10
10
00
10
01
00
00
11
10
10
00
00
10
11
11
10
00
00
10
01
01
01
00
00
10
10
10
00
11
11
00
11
00
00
00
10
01
00
10
10
10
00
11
10
11
01
01
11
10
00
10
01
01
11
10
01
10
10
11
10
00
00
10
11
10
01
00
10
01
00
10
10
00
00
00
01
10
00
10
01
10
10
00
10
00
10
10
00
01
00
10
11
00
10
11
01
11
00
00
01
00
10
10
10
11
00
11
00
01
00
10
10
00
10
00
10
10
01
01
10
10
11
10
10
00
00
10
10
01
11
10
00
01
10
00
00
00
11
10
00
00
01
10
01
01
10
00
11
00
01
10
00
00
11
10
00
00
10
10
00
11
10
00
00
11
01
10
10
01
00
10
10
10
11
00
00
10
10
00
00
00
10
10
00
00
00
01
00
00
10
00
00
00
00
10
11
11
10
11
01
00
00
10
10
11
10
11
01
10
00
11
00
11
11
00
01
00
10
00
00
11
10
10
00
10
10
00
11
11
00
10
01
10
01
10
11
10
00
01
00
11
10
00
00
10
11
00
10
10
01
10
11
01
00
00
00
10
00
00
11
10
01
10
01
01
10
00
10
01
10
00
00
10
01
11
00
11
11
10
00
00
11
00
01
10
11
00
10
10
00
10
10
10
00
00
00
11
00
00
01
00
01
00
10
01
01
10
11
10
01
01
11
00
11
11
00
11
11
11
00
00
10
10
00
00
10
00
11
00
01
00
10
10
10
11
00
01
10
10
00
00
10
11
00
00
10
10
01
11
01
10
10
11
00
00
00
10
11
11
00
11
10
11
01
01
01
00
10
00
01
10
00
00
10
10
10
11
00
10
10
11
11
11
10
10
00
10
00
01
11
10
10
01
10
11
10
00
00
11
10
11
00
00
10
11
00
00
00
10
10
00
00
00
11
10
01
10
11
00
00
10
00
10
00
00
10
10
10
00
11
11
11
11
10
11
00
00
10
10
01
01
01
11
10
00
11
01
10
11
00
01
00
10
01
00
10
11
00
10
00
00
11
00
00
00
10
11
11
11
00
00
10
00
10
10
00
11
00
00
10
11
11
00
00
11
10
10
10
01
11
10
00
10
00
11
10
00
10
11
00
00
10
10
00
00
11
11
01
00
01
01
10
10
10
01
01
10
10
00
01
10
01
00
10
00
00
10
00
00
11
00
10
10
01
00
00
10
00
10
10
01
10
00
00
00
00
10
10
01
01
10
11
00
11
01
00
11
10
10
00
01
00
10
10
00
00
10
00
10
00
00
11
00
10
11
11
10
11
00
10
00
00
10
00
00
10
10
00
01
01
11
00
00
00
10
01
01
00
10
10
01
10
11
00
00
11
10
00
10
00
10
10
00
00
00
10
00
11
00
01
01
11
01
00
01
10
01
00
00
10
10
00
01
11
00
00
00
01
00
11
00
10
10
00
01
11
10
00
10
10
01
00
00
00
11
10
10
00
00
01
10
11
01
00
00
11
10
10
11
00
01
00
01
10
10
10
10
00
00
11
00
01
11
01
01
01
11
11
10
01
00
01
10
10
00
01
11
00
01
10
11
00
01
11
01
00
10
10
10
01
00
00
10
11
11
01
00
11
01
00
11
00
01
10
00
01
11
01
11
11
01
01
11
10
01
00
11
10
00
11
10
00
00
00
11
00
00
00
11
00
01
10
10
11
11
10
11
00
00
10
00
10
10
00
10
00
10
10
01
00
10
10
10
10
00
11
11
11
10
01
10
01
01
01
10
10
11
00
10
11
11
01
11
00
00
00
00
00
01
10
11
10
10
11
00
00
10
00
00
11
10
11
10
00
10
10
01
11
01
01
00
10
00
10
00
10
11
01
10
11
10
11
01
01
00
00
11
00
00
10
00
00
10
10
10
10
10
00
10
11
11
10
01
00
00
00
00
10
10
00
00
00
00
10
00
00
11
10
10
11
10
00
00
00
11
00
10
00
10
10
11
00
00
11
00
11
10
00
11
10
11
11
01
01
00
11
00
00
10
10
00
00
10
11
10
01
10
10
10
10
10
00
00
10
10
10
10
10
00
00
01
11
11
10
11
00
01
10
00
11
10
11
11
10
11
10
10
11
00
01
00
10
00
00
10
00
01
10
01
11
01
11
10
00
01
10
10
00
10
10
00
00
11
00
10
00
00
10
00
10
10
00
01
10
00
00
00
01
11
11
11
11
00
10
11
10
00
00
11
00
00
11
11
10
01
00
10
10
10
00
00
11
10
00
00
10
10
10
00
10
10
10
10
10
10
00
11
10
01
00
11
00
11
11
01
00
11
11
00
01
11
01
00
10
10
00
11
10
11
00
01
11
01
11
11
00
00
00
10
10
00
00
10
11
11
00
00
00
10
01
10
10
01
00
11
00
00
10
00
10
00
10
11
00
01
11
10
01
00
10
01
11
10
10
10
01
10
01
10
10
11
00
00
00
10
10
00
00
00
00
00
10
10
01
00
11
11
10
00
10
10
11
00
00
10
01
10
10
00
00
01
10
10
00
01
11
01
11
10
00
11
00
11
00
01
10
10
11
10
11
00
10
10
01
01
10
01
01
00
11
00
11
11
10
00
01
11
10
01
00
10
00
11
00
10
10
01
01
00
11
01
11
00
00
00
10
11
11
01
00
11
01
11
00
00
00
11
11
00
00
10
01
00
00
00
00
10
11
10
10
00
01
00
00
10
01
00
10
10
10
11
11
10
10
10
00
00
01
01
10
10
11
00
00
01
10
01
11
00
00
01
00
10
10
00
00
10
10
00
10
00
01
10
10
11
10
00
00
11
10
10
10
01
00
10
01
00
11
00
01
00
00
00
01
10
10
01
10
11
11
10
00
11
10
00
00
10
10
11
10
00
10
00
00
11
01
00
10
11
10
10
00
01
00
11
00
00
00
10
00
10
01
00
10
00
01
00
10
01
00
10
10
00
01
10
11
10
11
11
00
00
00
11
10
10
00
10
00
10
10
10
10
10
11
10
10
10
01
10
11
01
11
10
10
01
00
01
10
10
01
01
10
01
10
00
11
11
10
00
00
10
00
10
00
00
01
10
00
00
00
00
01
10
10
01
01
10
01
10
00
10
01
11
11
10
00
00
10
10
00
00
10
10
11
10
00
01
00
10
00
01
10
11
10
10
01
00
11
10
01
00
01
10
00
10
01
00
11
00
00
00
00
00
10
10
01
10
10
00
01
10
01
11
10
10
11
01
10
11
10
00
10
10
10
00
11
11
01
10
10
10
00
00
01
00
10
10
00
11
10
01
01
01
00
11
10
10
00
11
00
00
01
10
10
01
10
01
00
10
11
01
00
10
10
10
00
10
10
00
00
10
11
01
00
10
01
10
10
00
00
10
00
01
10
01
01
01
10
00
10
10
01
00
01
01
10
10
00
01
11
00
01
00
10
11
01
11
01
11
00
01
10
00
10
10
00
01
11
10
00
01
10
10
10
00
10
10
01
00
00
00
11
10
10
01
00
00
10
00
10
10
00
11
00
01
10
11
10
00
10
00
11
11
01
10
01
00
10
11
00
00
11
10
00
10
00
00
10
10
11
10
00
01
10
10
01
10
10
00
00
10
00
00
00
01
00
00
10
00
00
10
10
00
00
11
00
10
11
11
10
10
00
00
00
11
10
11
11
00
11
11
01
01
00
01
01
10
11
01
00
00
11
11
00
10
10
01
01
10
11
11
01
11
10
01
00
11
11
10
00
00
00
00
10
10
00
00
00
10
10
10
01
00
10
00
01
11
10
11
00
00
10
10
00
11
10
01
10
00
10
10
00
10
00
00
00
01
00
00
01
10
01
11
11
00
00
10
10
01
00
01
10
00
10
10
00
10
11
01
01
00
10
00
11
10
10
10
01
10
11
01
11
00
10
00
00
01
10
10
00
00
11
11
11
00
10
00
10
00
00
10
10
10
10
00
10
00
00
10
01
10
11
10
01
11
11
00
00
01
11
01
00
10
10
10
01
00
10
11
11
00
00
11
01
10
10
01
01
00
00
00
01
00
11
10
01
00
00
01
10
00
00
00
00
00
10
10
11
01
00
00
00
10
00
00
10
00
11
00
11
00
00
00
11
10
01
11
11
10
00
10
10
00
00
00
01
00
00
10
00
00
10
10
01
10
00
11
10
00
00
00
10
10
00
00
10
01
01
10
00
00
00
10
00
00
10
11
11
01
01
11
10
10
10
10
01
00
10
10
00
11
11
00
00
01
11
10
11
00
00
01
11
11
01
00
10
11
00
10
10
11
00
10
01
00
01
10
11
01
00
00
10
10
10
00
10
10
00
10
00
01
00
11
11
01
11
00
10
10
10
10
00
00
10
10
10
10
10
01
01
00
10
00
00
00
01
01
10
01
00
10
11
10
01
00
11
11
01
00
10
11
00
10
11
10
00
11
01
00
10
10
01
10
11
10
01
00
10
00
10
00
11
00
00
01
11
00
10
00
01
00
00
01
10
11
10
00
00
01
11
11
00
01
00
00
10
11
00
11
10
00
11
11
00
00
10
10
10
11
00
01
11
10
10
00
11
11
10
01
11
00
11
01
00
10
11
10
01
00
10
00
10
00
00
10
11
11
10
10
00
00
10
10
11
00
00
00
10
00
00
10
11
10
00
10
11
10
10
10
01
00
10
01
00
00
00
00
11
00
01
11
00
01
00
10
00
01
10
01
01
00
10
10
11
10
11
10
00
00
11
10
00
00
10
01
01
10
01
00
10
10
00
11
01
11
11
11
01
01
10
00
10
11
01
00
11
10
00
01
10
10
00
01
11
11
11
00
00
00
00
11
00
00
10
00
01
00
00
10
10
01
01
01
10
00
10
00
00
10
00
00
10
11
10
10
00
01
00
11
10
00
00
00
00
00
00
11
10
00
00
10
10
11
10
10
00
00
10
00
10
00
00
11
00
00
10
10
11
00
11
01
11
00
10
10
00
10
10
10
01
00
10
11
01
00
00
00
10
11
00
11
00
01
10
01
00
11
00
00
11
10
00
01
01
11
00
11
11
00
00
00
10
11
00
11
00
01
00
00
10
01
10
10
00
00
00
11
10
00
00
01
00
11
10
00
00
00
10
00
00
11
00
00
01
01
11
01
10
01
11
10
10
10
00
01
11
10
01
00
11
00
10
11
00
00
11
11
00
00
11
10
11
00
00
01
11
11
10
11
10
10
11
00
00
11
00
01
01
10
00
10
00
10
10
00
00
10
10
10
00
01
10
00
00
01
00
00
00
10
01
11
10
00
00
10
10
00
00
10
10
10
11
00
11
10
10
11
00
10
11
00
10
00
01
10
10
10
01
10
10
00
11
10
11
01
10
10
10
10
01
00
10
11
01
11
01
00
11
10
11
00
10
10
00
00
10
01
00
11
11
00
00
00
00
10
00
00
11
00
01
10
00
11
00
00
10
00
00
10
00
10
00
00
01
00
10
10
10
00
10
01
10
10
10
01
00
10
00
10
01
00
11
11
10
10
00
00
10
11
00
00
10
10
10
00
10
10
10
00
10
01
11
10
00
10
01
10
01
00
11
00
11
00
00
00
01
10
11
11
00
10
11
00
00
10
11
10
00
00
10
01
10
01
00
01
01
01
01
00
11
11
11
10
01
01
00
01
10
10
00
00
10
10
00
10
10
10
00
11
11
01
10
00
01
10
00
00
10
11
00
00
00
10
10
11
10
00
01
00
00
00
00
01
00
11
01
01
10
11
10
00
10
11
11
00
01
11
10
00
00
01
10
11
10
01
10
00
00
10
00
01
00
11
10
00
11
11
01
10
11
00
10
00
00
00
10
11
00
11
00
01
10
00
11
00
00
00
10
11
10
01
10
10
00
10
01
00
01
10
01
00
11
10
01
11
10
10
00
01
11
01
01
00
00
00
10
01
01
00
11
10
00
10
00
11
10
10
00
11
00
01
11
10
10
00
00
10
11
00
10
10
10
01
00
00
00
00
01
00
10
11
00
11
10
10
11
11
11
11
00
00
01
01
00
00
10
10
01
00
10
10
10
01
10
00
00
11
10
00
10
00
11
10
00
10
10
11
00
11
10
01
10
11
01
00
10
10
10
00
01
10
10
10
10
11
10
00
10
11
00
01
00
10
00
00
01
00
10
10
10
10
10
00
11
11
11
00
10
10
01
00
10
10
00
00
10
00
01
11
10
01
10
00
00
10
11
00
01
10
11
10
10
10
01
00
11
00
01
00
11
10
01
01
10
00
10
10
11
00
00
10
00
10
10
01
11
00
00
10
10
10
01
00
10
00
00
00
01
10
10
10
00
10
00
10
10
01
01
00
01
10
11
01
01
11
00
10
10
01
00
10
00
00
01
11
10
10
00
00
10
10
01
00
10
00
10
00
11
10
00
00
11
11
10
01
10
10
00
00
11
10
11
11
00
11
00
00
10
00
00
00
00
10
10
10
00
10
10
01
00
11
10
00
10
01
00
01
11
10
00
00
10
10
10
10
00
10
00
10
10
10
10
01
10
00
01
01
00
11
00
10
10
11
10
10
10
00
11
00
01
10
10
00
10
11
01
11
00
00
10
10
00
00
11
10
00
00
00
10
10
10
01
00
10
10
10
10
00
10
01
00
01
10
00
00
10
00
10
10
01
01
01
10
10
00
10
01
00
11
00
11
00
10
01
01
01
10
00
01
00
10
10
00
10
10
10
00
10
01
11
00
10
10
10
10
10
01
00
10
01
10
11
01
00
11
00
00
10
10
00
11
10
00
00
10
11
10
10
10
01
00
01
00
10
11
00
10
00
10
11
10
01
00
11
11
11
01
00
11
00
11
11
11
00
01
11
10
11
01
01
00
01
00
00
00
11
10
11
10
00
00
01
11
01
00
11
11
10
01
00
00
11
00
10
01
00
11
01
11
01
01
00
10
11
01
10
10
00
11
11
00
01
00
00
10
10
10
00
00
11
10
00
01
11
10
01
00
00
01
11
00
10
10
00
01
00
11
01
00
00
11
10
10
00
01
11
10
11
00
00
00
11
10
10
01
10
10
00
00
00
10
00
00
10
10
10
00
00
01
01
00
00
10
10
10
00
01
11
00
11
11
11
11
00
10
01
00
10
10
00
10
10
01
00
01
10
00
11
11
00
10
10
00
10
11
00
00
10
11
10
10
01
01
10
10
11
00
00
11
10
00
10
10
10
10
01
10
00
00
00
10
00
10
10
10
00
00
11
10
01
00
11
01
00
10
10
10
10
10
00
01
00
10
10
10
01
10
00
10
10
00
00
00
10
10
11
10
11
00
01
10
10
00
11
00
00
00
10
11
01
00
10
00
10
10
11
01
10
00
01
11
00
00
00
10
01
10
00
00
10
10
10
10
10
11
01
00
00
10
11
01
01
00
01
01
10
10
00
10
11
10
10
01
10
00
00
10
00
11
10
10
10
00
00
10
00
01
00
10
00
10
11
00
01
01
11
01
00
00
00
10
11
10
10
01
00
11
10
00
01
10
10
00
11
10
10
00
01
10
00
00
10
11
01
10
00
10
10
10
01
01
00
00
11
11
00
11
00
00
10
10
11
11
01
00
11
01
10
01
10
11
00
01
10
11
00
10
00
00
10
11
01
00
00
00
10
11
11
01
10
01
01
01
00
10
11
10
00
01
10
10
11
10
10
11
00
01
00
00
10
01
00
10
10
00
01
01
10
10
01
11
01
01
10
10
00
01
10
01
00
10
11
00
11
11
11
10
11
00
11
00
01
10
00
10
11
00
00
10
10
01
00
00
00
11
00
01
11
10
10
00
11
00
01
10
10
01
00
10
10
00
00
01
00
01
00
10
10
11
11
11
00
00
10
10
00
10
11
10
00
01
00
10
00
00
11
00
00
00
11
11
01
00
10
00
00
00
10
11
00
11
00
01
11
10
00
00
10
00
11
10
00
01
00
10
00
00
10
10
10
11
11
11
01
10
01
00
00
01
11
10
01
00
11
10
11
00
10
11
00
10
10
00
01
10
00
00
11
10
10
11
00
11
10
01
00
11
10
10
10
01
10
11
00
00
00
00
01
10
10
00
11
10
10
10
00
10
00
01
10
00
01
10
00
10
11
10
00
10
11
10
00
00
10
00
00
01
10
00
00
11
00
01
11
10
10
01
11
10
10
00
01
10
01
11
00
11
10
00
10
10
00
10
00
01
00
10
10
01
01
10
00
10
10
00
00
11
00
01
10
00
10
11
10
01
00
10
00
01
11
00
00
11
00
00
10
11
10
11
11
10
11
11
11
10
10
01
01
00
10
00
00
00
10
10
11
11
01
00
00
10
10
00
00
11
10
00
11
00
00
00
10
10
01
00
00
00
11
00
00
10
11
10
00
10
11
00
00
00
00
10
00
00
10
10
01
00
00
00
10
10
11
10
10
10
00
00
10
01
00
10
00
10
10
00
10
00
10
10
10
10
01
10
01
10
10
00
10
10
01
10
10
00
10
10
11
00
00
11
10
00
10
00
00
10
10
11
10
01
11
11
01
01
00
00
00
11
10
10
10
00
00
10
00
00
10
11
10
11
10
10
10
00
10
00
00
11
00
10
00
00
11
00
11
00
10
00
10
11
10
00
00
00
01
00
10
11
01
00
00
10
00
11
00
00
10
00
00
10
10
11
01
01
10
10
00
11
10
11
10
00
01
00
00
00
01
10
00
10
10
11
01
01
00
01
10
10
10
01
01
10
10
00
10
00
11
00
10
01
11
10
01
11
00
01
10
10
10
00
00
10
01
00
10
01
10
10
00
11
00
00
10
10
11
11
00
01
10
00
11
10
00
01
10
11
11
10
11
01
00
00
10
10
01
00
10
00
00
10
01
00
10
01
00
00
10
10
11
10
10
01
10
10
11
10
01
10
11
10
11
01
01
01
10
10
10
10
00
10
10
01
11
01
01
01
10
10
10
10
11
01
00
11
11
10
11
10
10
00
00
01
00
11
10
00
11
01
10
10
00
11
11
00
01
10
10
00
00
00
10
10
01
00
11
11
00
10
11
00
01
00
10
00
10
10
00
00
10
00
01
10
00
00
00
10
10
11
00
10
10
01
10
00
10
11
00
01
10
01
10
00
11
11
00
00
00
11
11
00
10
00
10
01
00
11
00
00
10
01
11
00
00
10
11
10
10
00
01
00
11
10
10
01
10
10
11
11
00
10
11
00
00
10
01
00
00
10
11
11
11
01
10
10
00
10
00
00
11
01
11
00
11
10
01
10
01
10
10
10
01
00
11
00
00
10
11
10
01
10
10
10
00
11
10
01
00
00
00
01
01
01
10
10
10
00
01
10
10
00
11
10
00
11
00
10
00
00
10
10
00
10
10
00
00
01
01
11
10
00
00
00
00
10
11
10
00
01
00
10
11
10
10
00
00
10
00
11
10
01
10
00
00
11
01
11
10
10
10
00
10
01
00
10
11
00
01
00
10
01
10
01
10
10
00
00
10
11
00
00
10
10
00
10
00
00
10
10
00
11
01
01
01
00
01
11
01
10
10
00
00
00
11
00
11
10
11
11
00
00
11
10
00
00
10
00
01
10
00
00
00
10
00
00
11
11
01
10
11
10
00
10
00
00
00
01
10
10
01
00
10
01
00
10
11
01
10
01
00
10
00
00
01
10
10
00
01
11
10
10
01
00
11
01
00
11
00
00
10
10
00
01
11
10
10
10
10
10
00
00
11
00
01
00
10
00
11
00
11
10
00
10
11
10
10
01
00
00
11
11
00
00
00
10
10
01
00
01
10
10
10
00
00
01
01
10
10
00
00
01
00
10
10
01
01
00
00
10
11
10
10
00
00
10
11
00
00
10
10
11
00
00
10
00
01
10
10
01
01
01
11
11
01
01
10
01
11
10
01
10
00
00
00
10
11
10
00
10
00
00
11
10
00
00
00
01
00
01
00
11
00
00
01
01
00
11
00
01
10
11
00
11
10
11
10
00
11
01
11
10
10
11
01
00
10
10
00
10
10
01
10
10
10
00
01
11
01
00
10
11
10
01
00
11
00
10
00
01
00
10
01
00
10
10
00
00
10
00
00
11
10
01
11
11
10
11
01
10
01
01
00
11
00
00
11
10
00
01
10
10
01
10
00
11
10
00
10
11
10
00
10
00
00
00
10
00
00
10
01
01
11
10
10
00
00
10
00
10
10
00
10
10
10
10
01
01
10
11
00
00
10
00
01
11
00
00
10
10
00
10
10
10
01
00
10
00
00
10
00
01
11
01
00
00
00
11
10
00
10
10
01
11
10
11
10
11
10
00
00
10
10
10
10
00
01
01
10
00
00
00
10
00
10
10
10
11
11
10
00
01
01
00
00
11
00
00
11
10
10
01
10
11
01
10
01
00
11
00
00
10
10
00
01
01
10
10
01
00
00
00
10
10
01
00
11
00
00
00
10
10
10
00
00
11
10
01
01
01
00
10
00
00
11
00
11
11
11
00
10
01
01
00
01
10
11
00
01
01
10
10
01
00
11
11
00
10
11
00
10
00
00
10
10
01
00
11
01
10
01
00
11
00
10
00
11
00
01
00
10
10
10
11
00
00
11
00
01
10
11
00
11
10
01
10
10
10
00
00
00
11
11
00
00
11
01
01
00
00
00
00
00
11
11
11
01
00
01
00
00
00
10
11
00
10
01
00
11
00
00
10
00
11
10
10
00
00
00
00
01
11
00
01
11
01
00
10
10
10
00
01
10
11
11
00
01
00
10
10
00
00
10
00
00
11
10
11
00
00
11
10
00
11
11
00
00
10
10
00
00
00
00
00
11
00
11
01
00
00
01
10
01
01
11
10
11
00
01
00
01
01
11
11
01
10
01
00
10
10
00
01
11
00
10
00
01
10
00
01
10
10
00
01
10
10
10
10
01
11
01
00
00
10
10
00
10
11
00
10
10
01
10
00
10
10
11
10
10
01
00
10
01
00
10
01
00
00
00
10
00
10
00
10
01
10
00
10
10
01
10
10
01
11
10
11
10
00
00
00
01
00
01
10
11
01
00
01
10
11
00
01
11
00
01
10
01
00
10
10
00
00
00
10
10
10
10
01
00
11
00
11
01
01
01
11
11
00
00
10
10
11
00
00
10
01
10
01
10
10
00
11
00
00
01
10
01
01
10
00
00
00
00
00
11
10
00
00
10
10
00
01
00
11
00
00
10
10
00
00
10
10
01
00
01
10
11
11
10
01
00
10
10
01
01
11
10
00
00
11
00
00
11
10
11
00
10
10
10
00
11
01
01
11
11
00
10
00
00
11
11
00
00
10
11
10
00
00
10
10
11
11
01
00
10
00
10
00
10
01
00
10
11
10
10
00
11
10
10
00
00
11
00
00
11
00
10
11
01
01
01
10
00
10
10
10
11
00
11
10
11
00
10
00
01
00
10
01
00
10
00
00
10
01
01
00
10
11
00
10
10
10
10
11
10
01
11
10
10
00
00
10
00
01
10
11
11
01
01
01
00
00
00
10
10
00
01
10
00
00
11
10
11
10
01
01
11
00
10
01
00
00
00
10
00
10
11
00
10
10
01
01
00
11
00
10
10
10
00
00
00
11
10
01
00
00
11
10
00
01
00
11
00
11
10
01
00
00
01
10
01
10
01
00
10
01
10
10
00
10
10
10
10
00
00
10
10
11
00
10
11
10
10
01
01
11
11
10
10
10
10
01
00
11
11
00
10
10
11
10
10
00
11
00
01
00
01
11
10
00
10
11
01
11
00
00
10
00
11
00
10
10
00
00
10
00
10
10
11
00
01
00
10
01
10
10
01
10
11
10
00
01
01
10
10
00
11
00
00
10
01
00
10
01
10
10
01
11
11
10
00
00
00
00
10
10
01
00
00
00
11
10
11
10
00
10
01
00
10
10
01
00
00
10
00
11
00
11
10
01
00
00
00
01
00
10
00
00
00
11
10
10
10
00
11
10
10
01
00
10
00
00
11
00
10
00
10
11
10
01
00
01
11
11
10
01
00
10
00
00
00
11
10
01
01
00
11
10
10
11
00
01
10
10
01
01
01
10
00
01
00
01
10
01
00
10
00
10
11
00
01
11
10
01
10
01
10
10
00
00
00
10
00
10
10
11
10
00
10
00
10
10
00
00
00
10
00
10
00
11
00
01
10
01
00
10
00
00
00
10
00
10
10
01
00
00
10
11
00
11
01
10
11
10
00
00
10
10
00
01
10
00
01
00
10
01
00
10
00
10
10
01
11
01
00
10
01
00
10
00
10
11
00
10
10
10
00
11
10
00
10
11
00
00
10
10
10
10
01
10
00
10
11
00
01
01
10
00
00
10
00
10
11
00
11
10
00
01
11
00
01
10
10
10
00
11
10
01
11
00
00
00
01
11
00
01
10
00
11
10
11
10
00
00
11
00
00
00
10
11
10
01
10
10
00
10
10
00
00
11
10
01
10
00
01
11
00
01
00
10
10
11
00
00
00
11
01
00
10
10
00
11
00
01
10
10
00
01
10
11
00
01
01
10
11
11
11
00
10
10
00
00
10
00
10
11
10
00
00
10
00
10
11
01
01
11
11
00
01
10
01
01
11
00
10
11
00
11
10
11
00
00
00
01
00
10
00
01
10
01
01
10
00
10
11
01
10
10
10
01
10
00
11
10
11
10
01
00
10
00
01
00
10
00
10
10
01
10
01
00
10
10
01
00
10
11
00
00
00
10
10
10
00
00
10
00
10
01
00
10
00
10
10
11
00
01
00
11
01
10
00
01
11
00
10
10
00
11
00
10
10
00
00
10
10
00
11
00
11
00
00
00
11
00
00
01
10
00
00
00
10
11
00
00
10
00
00
00
00
11
00
11
11
00
11
10
00
10
00
00
00
10
10
00
11
10
11
01
00
10
11
10
10
01
00
10
10
00
00
01
10
10
11
00
00
10
10
00
01
00
01
11
11
10
00
10
11
11
01
11
10
10
00
00
01
00
00
01
00
10
11
01
11
11
00
00
00
10
10
11
00
00
11
10
00
01
10
01
10
01
10
00
10
11
00
01
00
10
00
01
11
10
11
00
00
00
01
11
11
01
00
11
01
01
01
00
10
10
00
10
10
00
11
00
00
10
01
00
11
00
11
11
10
01
10
10
00
00
10
10
00
01
11
11
01
00
10
01
00
00
11
11
01
10
00
10
10
00
10
01
00
00
10
10
00
11
11
01
10
10
01
10
00
01
10
10
10
00
01
10
10
00
10
10
11
00
00
01
10
01
00
10
01
00
11
00
00
11
00
10
00
01
10
11
00
00
01
10
10
00
11
10
00
00
01
00
00
11
10
00
00
00
10
11
10
10
01
01
10
00
00
01
10
01
10
10
00
10
00
00
10
10
00
01
00
10
11
10
00
01
10
11
11
00
00
10
01
00
01
10
10
01
11
01
00
10
11
11
00
00
10
11
11
10
10
11
00
01
01
11
01
00
10
00
10
00
10
00
00
10
11
00
10
00
10
00
01
11
10
01
00
00
10
10
00
00
10
10
10
10
10
00
10
10
10
01
00
01
10
11
10
10
00
11
00
11
01
00
10
10
00
10
10
00
01
10
01
01
10
10
11
01
00
10
10
10
10
11
10
01
00
10
11
10
00
10
00
10
10
00
01
00
10
00
11
01
01
10
10
10
10
10
11
00
01
00
10
00
00
10
11
11
00
01
10
10
01
10
00
00
10
10
11
10
00
10
10
10
00
01
10
10
01
00
10
00
10
01
11
00
00
00
11
10
11
00
00
10
01
10
10
00
10
00
11
01
00
11
00
10
01
10
10
00
00
10
00
00
10
10
10
01
11
10
10
01
00
10
00
00
11
11
10
01
01
00
10
00
00
10
10
10
10
00
00
00
01
10
00
01
01
10
01
10
11
00
01
10
10
00
00
10
01
01
10
00
00
10
00
10
10
00
01
11
01
00
00
01
00
00
11
11
01
10
10
10
10
10
01
00
11
10
00
01
11
01
10
01
00
11
10
01
00
11
00
11
00
00
01
11
10
10
10
10
10
00
00
11
00
00
10
10
01
10
00
00
11
10
01
00
00
00
10
10
01
10
11
11
10
10
01
01
01
10
00
01
10
01
01
00
10
10
00
00
11
00
00
01
01
10
10
10
10
11
01
10
00
10
10
11
01
01
10
10
00
00
00
11
00
00
10
11
11
00
01
00
01
00
01
10
01
10
10
01
00
10
10
01
00
10
10
01
11
11
10
10
00
00
00
11
10
00
00
00
00
10
00
10
00
10
00
01
10
10
00
11
00
00
11
00
10
11
00
11
10
11
10
00
00
10
00
00
11
10
11
01
00
01
00
01
10
00
01
11
01
00
01
11
11
00
00
11
10
11
01
00
11
00
00
11
11
01
01
11
10
00
00
10
00
00
10
00
01
01
10
10
00
01
00
10
10
11
01
00
10
00
10
00
10
10
00
01
11
00
10
00
00
10
00
11
10
01
00
00
10
00
10
00
10
10
00
00
10
10
10
11
10
00
11
01
00
00
10
10
11
01
10
01
00
11
01
11
10
11
11
01
10
10
00
00
10
10
00
00
10
11
11
00
00
11
00
01
11
10
00
01
00
11
10
01
10
01
10
00
00
11
00
00
11
10
11
10
11
11
01
10
00
10
11
00
00
11
00
01
10
11
10
11
10
11
01
10
00
01
01
10
10
00
00
10
10
01
10
11
00
00
10
11
00
00
01
10
11
10
10
00
00
10
11
10
01
10
10
11
00
11
01
01
10
00
11
11
00
01
00
10
00
01
10
01
11
10
00
00
00
11
10
11
00
00
00
11
10
00
01
11
00
00
01
01
11
10
01
10
01
00
10
11
01
00
10
00
01
01
00
11
10
10
10
00
00
10
10
00
10
10
00
00
11
00
00
00
00
00
10
11
00
00
10
00
01
00
01
00
01
10
10
00
11
00
00
01
10
01
01
10
10
01
00
11
10
00
00
10
11
11
10
00
01
10
10
00
10
10
00
00
00
01
00
00
10
10
10
01
10
00
00
10
01
00
01
10
11
00
10
00
10
10
01
10
10
00
01
11
00
10
11
00
01
10
11
01
10
00
01
10
00
11
11
00
10
10
00
11
10
01
10
11
00
11
00
01
10
10
10
01
01
10
10
10
00
10
00
01
11
00
10
10
00
00
00
11
10
01
11
11
01
00
00
10
10
00
00
10
00
01
10
10
00
10
10
01
00
11
10
00
10
01
01
01
00
00
10
10
11
10
11
00
01
10
10
10
01
00
11
01
00
00
10
01
10
01
01
10
11
01
00
01
01
00
00
10
11
00
00
11
10
01
01
10
00
00
01
01
01
00
10
10
00
00
01
11
10
00
11
11
00
00
00
10
10
01
10
01
00
00
01
01
00
11
10
01
10
00
00
10
00
00
11
11
01
01
11
11
10
01
00
00
11
10
00
10
00
00
10
11
01
00
11
10
00
11
10
01
01
10
10
10
10
10
00
01
00
11
10
01
10
11
11
11
00
01
10
11
11
00
00
00
11
11
10
10
01
01
10
10
00
00
11
11
11
10
00
00
10
00
10
01
00
11
00
10
10
00
10
00
11
10
10
00
00
11
00
00
11
00
00
10
11
00
11
00
11
00
01
10
10
10
11
00
10
00
00
01
11
00
01
11
00
10
00
00
10
10
01
10
00
00
00
10
01
00
10
00
10
00
10
10
01
00
01
11
11
01
11
10
01
10
00
00
11
10
00
01
00
11
01
00
00
00
10
00
10
10
01
10
10
10
00
00
10
00
10
00
10
00
10
11
00
10
01
00
10
11
10
00
11
00
10
11
10
00
00
00
10
00
00
11
00
00
00
10
00
00
10
11
00
01
10
00
10
01
11
00
00
10
10
00
01
01
10
10
00
11
01
00
10
00
10
10
01
10
11
00
10
00
11
11
01
00
11
11
01
00
11
10
00
01
10
11
00
00
11
10
10
00
11
10
10
00
00
10
10
10
10
00
01
11
11
10
01
10
10
01
00
01
00
10
10
10
00
10
10
00
00
11
11
10
11
11
10
01
00
10
00
10
10
01
01
00
01
11
01
01
10
00
10
01
00
01
00
11
00
10
11
10
00
00
01
10
11
10
10
10
10
10
01
11
11
00
10
10
11
11
00
01
11
01
01
00
00
11
10
11
10
00
00
00
01
00
10
11
10
00
00
10
10
10
10
10
00
00
01
00
00
00
10
00
01
00
00
11
10
00
10
00
10
01
10
10
11
00
10
00
01
01
01
10
01
10
10
01
11
01
00
00
11
10
10
10
00
00
01
00
10
00
11
01
00
10
01
10
10
01
00
10
00
01
10
11
11
10
10
01
10
00
00
10
11
01
01
11
00
00
01
10
10
00
00
11
10
00
00
00
10
10
10
10
10
10
00
01
11
10
01
10
10
10
10
01
00
00
10
10
11
11
10
10
11
00
01
00
11
10
00
00
00
00
10
10
10
01
01
01
10
11
11
10
00
01
01
00
10
10
10
00
10
10
00
11
10
10
11
10
00
00
10
11
00
00
10
01
00
01
00
00
00
10
00
10
01
01
00
10
00
10
10
11
00
00
11
10
10
00
10
11
10
00
10
10
01
00
11
10
01
00
01
00
00
01
10
00
00
01
11
00
00
10
00
00
10
01
00
10
00
01
10
10
10
00
10
10
00
10
10
10
00
00
01
01
00
11
10
00
01
11
01
11
11
01
01
00
10
10
00
01
00
11
10
00
00
10
00
10
00
00
01
00
00
11
11
01
00
00
11
11
11
01
10
11
00
10
00
00
11
00
10
10
00
11
11
11
10
01
00
01
00
11
00
01
01
01
01
01
10
00
11
10
10
01
01
11
00
10
00
10
10
00
00
10
11
10
10
00
00
01
10
10
01
10
10
11
11
00
10
11
00
00
01
10
11
01
10
01
00
00
00
10
00
01
01
11
00
11
10
10
00
10
10
11
10
00
10
00
00
10
00
01
10
00
00
11
01
11
11
00
11
01
10
11
01
10
11
01
01
11
10
01
10
01
00
11
10
00
10
11
00
00
11
11
10
11
11
11
10
01
00
01
10
00
11
11
01
01
01
10
00
00
00
11
00
01
10
11
10
01
10
10
00
00
00
10
11
00
00
10
10
00
10
00
00
10
10
00
11
10
00
00
10
00
00
10
10
11
01
11
00
11
10
11
11
10
11
00
00
10
11
00
00
10
00
00
10
01
10
10
01
00
00
10
10
10
10
00
11
11
01
00
10
11
10
00
11
01
10
11
01
00
11
10
00
11
10
00
00
00
10
11
00
10
00
00
10
00
10
00
10
11
01
11
00
00
00
00
01
00
10
10
10
01
00
11
11
10
00
00
10
10
10
00
01
10
10
10
11
00
00
00
11
10
01
01
10
10
10
10
00
00
10
11
01
01
10
10
10
11
11
00
00
11
10
11
10
10
00
10
10
01
01
10
01
01
10
01
00
11
11
10
00
00
10
00
00
10
11
00
01
00
01
10
10
10
00
10
00
01
10
00
10
01
00
10
10
00
10
10
10
00
10
10
00
10
11
01
00
10
00
00
10
01
10
00
01
01
00
10
10
00
10
00
00
10
10
01
11
01
10
10
11
00
10
11
00
00
10
10
10
10
01
00
00
10
01
11
01
01
11
00
01
00
00
11
10
00
10
10
10
10
10
01
00
11
10
11
00
00
10
01
10
10
11
10
00
01
00
10
00
00
10
01
10
00
11
10
01
10
11
11
10
10
00
00
11
00
00
10
10
00
10
00
00
01
10
01
10
00
10
00
01
10
10
00
00
01
10
00
11
01
10
11
10
11
00
10
00
10
00
11
10
01
01
10
00
00
00
00
00
10
01
01
10
10
10
00
11
10
01
01
01
01
11
00
11
10
00
11
10
00
10
01
00
11
11
11
11
01
01
10
10
01
01
00
10
00
01
00
00
10
00
10
10
01
11
10
01
10
11
00
00
10
00
00
11
00
00
10
10
10
10
10
00
00
10
11
00
11
10
01
00
11
00
00
10
11
11
10
01
00
11
10
00
00
01
10
10
10
00
11
10
00
01
00
01
01
10
00
00
11
01
11
11
00
10
10
00
01
00
11
10
11
10
10
11
10
00
00
00
10
11
00
10
01
10
00
10
01
00
11
11
10
00
10
10
00
00
10
11
00
00
10
00
11
11
11
01
10
00
10
10
01
00
10
10
10
00
00
10
10
00
00
01
10
10
10
01
11
11
10
10
10
11
10
01
00
11
11
01
11
11
10
11
10
00
10
10
01
00
00
01
10
01
10
11
00
00
00
10
01
00
11
11
00
00
11
11
00
11
10
11
10
11
00
10
01
00
10
00
11
11
01
01
00
00
01
10
11
10
00
00
10
10
00
00
11
10
01
10
01
10
01
00
11
10
10
00
00
01
00
01
11
01
10
00
10
11
00
00
10
10
00
11
00
00
11
10
00
00
00
10
01
10
10
10
10
00
11
11
00
11
10
10
00
10
00
01
10
10
11
10
11
00
00
11
00
10
10
10
00
11
00
01
00
10
10
00
11
01
00
10
00
00
11
00
00
00
11
10
10
10
01
00
00
11
11
10
01
01
11
00
00
11
01
00
10
00
00
00
10
10
11
01
00
10
11
00
00
10
11
11
11
10
11
00
01
11
01
00
11
11
00
10
10
01
00
10
10
01
01
00
00
10
00
10
00
00
10
01
00
11
00
01
11
10
00
10
00
00
11
11
00
00
00
00
10
10
01
00
10
00
01
00
10
00
10
10
01
00
00
00
11
10
10
00
11
10
00
00
11
10
00
10
00
00
11
11
01
00
01
10
11
10
11
00
00
01
10
10
11
10
00
00
10
00
11
10
00
11
10
11
00
10
00
10
00
10
11
10
10
00
00
10
00
10
00
01
00
00
10
11
10
00
11
01
01
00
01
00
10
10
00
10
11
00
00
11
01
11
00
11
00
11
10
10
10
00
00
01
00
10
11
10
10
11
00
01
01
11
10
10
00
00
01
00
10
10
00
00
01
10
00
00
11
10
11
10
11
00
00
10
10
01
00
10
10
11
01
11
10
11
00
11
00
01
10
11
10
11
00
10
11
00
11
00
01
10
01
01
10
10
00
00
11
00
00
11
00
10
10
00
00
01
10
10
10
00
10
10
00
01
00
00
00
10
10
00
00
10
10
10
01
00
00
01
00
11
00
01
10
00
00
10
00
01
00
11
01
10
10
01
01
11
00
01
11
00
00
10
01
00
00
11
10
00
10
00
00
01
10
10
00
01
10
10
11
01
10
10
01
10
00
10
11
01
11
00
00
10
11
01
10
01
11
00
00
11
11
00
01
10
10
00
10
00
11
10
11
00
01
00
01
00
11
10
00
10
01
11
10
10
11
00
01
10
01
01
00
11
11
00
00
10
10
00
10
11
01
11
11
10
00
10
11
10
11
00
01
00
11
00
00
10
10
00
01
10
10
01
11
01
00
01
10
11
11
10
01
11
11
01
10
00
00
00
00
10
10
00
10
00
11
00
11
00
01
10
01
10
11
10
01
01
00
10
10
11
00
10
10
10
10
00
11
00
10
10
11
00
11
10
01
10
10
00
01
00
10
10
01
10
00
00
01
10
00
00
00
10
11
10
00
11
10
00
00
01
11
00
10
11
10
00
00
10
00
10
10
01
10
10
11
10
10
10
10
10
00
00
10
00
00
00
10
10
11
11
00
01
10
00
10
10
00
00
10
10
10
00
00
10
01
01
11
10
10
10
00
01
10
10
01
11
01
00
01
10
00
00
00
00
11
00
00
11
00
01
10
00
10
10
01
00
10
11
11
00
01
00
00
10
10
00
11
10
00
10
10
01
10
10
01
10
10
00
00
00
10
10
11
11
10
01
10
11
10
01
01
11
00
01
10
10
10
11
10
00
10
11
11
00
10
10
00
10
10
10
10
11
00
10
01
00
01
01
00
11
11
00
01
11
11
10
00
00
00
01
10
01
00
10
10
00
10
11
00
10
10
01
10
10
00
01
00
10
00
11
01
00
11
10
00
00
11
00
11
10
11
01
11
10
10
01
00
11
10
00
11
10
10
10
10
00
01
01
11
01
10
11
10
00
00
00
10
01
10
00
01
01
11
01
00
11
10
00
10
10
00
01
10
10
01
00
10
00
00
10
10
00
01
11
10
00
11
00
10
10
00
10
10
11
00
10
10
10
01
01
10
10
00
00
01
11
10
11
00
00
00
11
00
01
00
10
11
00
01
01
11
10
11
10
00
10
10
01
00
10
10
00
11
00
01
10
00
00
10
10
00
11
11
00
00
01
11
00
01
00
11
01
00
00
00
00
10
11
00
10
11
10
00
00
01
00
11
00
11
10
01
00
01
10
01
00
11
10
01
10
10
10
10
11
00
10
10
01
00
01
00
01
10
01
00
00
00
01
00
10
10
11
00
01
00
00
00
10
10
00
00
11
11
10
10
01
00
00
00
00
11
10
11
00
00
01
11
10
00
00
10
10
00
00
10
11
10
01
11
00
01
11
00
00
00
10
11
00
00
10
11
01
10
00
11
00
01
10
00
00
01
00
10
11
00
01
11
10
10
00
00
00
10
10
00
00
00
10
10
00
01
01
10
00
00
00
01
10
10
01
00
00
01
01
00
10
10
11
11
00
10
00
01
00
10
00
01
11
10
10
00
10
00
10
11
10
10
10
10
00
01
10
00
00
01
11
10
00
01
11
11
10
11
01
10
00
00
10
10
01
00
10
11
00
00
11
00
01
10
10
00
00
01
01
00
10
10
11
01
00
10
00
00
00
00
11
10
01
00
10
10
10
00
01
01
10
00
01
11
10
01
10
10
00
01
10
00
00
10
10
01
00
11
10
00
01
11
10
01
01
11
00
00
00
10
00
00
10
10
10
00
00
01
10
11
00
10
01
00
00
10
10
01
01
11
10
00
10
10
01
10
10
00
00
10
01
10
00
00
00
10
10
11
00
01
00
11
01
00
10
10
10
01
11
01
10
10
10
10
10
00
00
10
11
00
00
10
10
00
00
10
11
00
10
00
00
10
00
01
11
00
00
10
00
00
01
01
11
10
11
00
11
10
00
10
01
00
11
00
11
00
00
10
00
00
10
10
10
10
10
11
00
01
10
01
11
10
00
01
11
10
01
00
10
10
00
00
10
00
10
11
00
11
01
01
10
10
00
01
10
10
11
00
11
10
00
00
00
10
10
01
00
11
00
01
10
11
11
01
00
10
11
00
00
10
11
00
11
10
00
11
10
10
01
10
10
00
00
00
00
00
11
10
00
00
00
11
10
00
00
11
10
01
11
10
10
00
10
00
10
00
11
00
10
00
10
10
11
10
10
10
00
11
10
01
11
11
10
10
00
11
10
11
00
00
10
10
01
10
01
00
11
01
00
10
01
11
10
00
00
01
10
10
10
00
01
10
11
00
10
10
11
01
10
00
00
10
11
01
10
11
01
11
00
11
00
00
00
11
11
01
01
00
00
11
00
00
01
11
11
00
10
00
10
11
00
10
11
01
10
11
00
10
10
00
00
10
10
01
00
01
00
01
01
00
10
11
00
10
10
10
00
00
00
00
11
01
00
10
00
10
00
01
10
10
10
10
00
00
01
10
10
00
11
00
01
01
11
00
10
11
00
01
10
00
10
10
00
01
01
10
10
01
00
00
11
00
00
10
10
10
01
00
10
01
10
10
10
10
00
10
10
11
10
10
11
10
10
11
00
00
01
10
00
00
11
10
01
00
01
10
00
11
00
10
10
11
01
10
01
00
01
10
00
11
10
01
00
11
10
01
01
00
10
11
10
01
01
01
10
11
00
00
10
10
10
00
10
11
10
01
10
11
10
10
11
00
10
00
10
11
00
01
00
00
11
11
01
10
01
10
10
01
10
00
00
10
01
01
11
00
00
10
10
11
11
11
01
11
00
11
10
10
00
11
11
00
00
10
00
01
01
00
10
10
10
10
10
00
11
00
01
10
11
00
00
01
01
10
10
00
01
10
00
00
10
10
00
11
00
10
10
00
00
10
00
00
10
10
01
01
11
10
01
11
01
01
10
01
01
10
10
00
01
00
00
11
10
00
10
00
01
01
11
11
01
11
10
10
00
00
10
10
10
01
00
10
10
00
10
00
00
00
10
10
01
10
11
00
11
00
00
10
10
10
00
10
10
00
10
10
01
01
00
00
10
01
00
10
10
00
00
01
00
10
00
10
11
11
00
10
10
00
10
10
01
01
01
11
00
11
00
11
10
10
00
10
00
11
00
11
00
00
11
10
00
10
11
00
10
11
00
00
10
10
00
00
11
11
10
01
10
10
10
10
11
00
10
10
10
01
11
10
10
01
11
00
00
10
00
10
00
00
10
01
10
11
00
10
01
01
00
10
01
11
10
00
11
11
00
01
01
01
11
01
11
01
11
10
11
10
11
01
01
10
01
11
10
00
01
00
00
11
10
10
10
01
11
10
00
00
10
11
00
11
00
10
11
01
10
01
00
10
00
10
01
00
00
00
11
11
11
00
10
00
10
10
00
10
11
11
00
11
00
00
00
10
10
00
11
10
10
01
00
01
11
11
01
00
10
10
00
00
00
10
11
10
01
01
00
01
10
00
10
10
01
00
10
11
00
11
11
11
01
01
10
10
00
00
11
10
00
01
10
00
11
01
00
00
10
10
10
00
00
10
11
10
10
10
00
01
01
01
11
01
00
00
10
00
01
10
10
00
10
00
00
00
10
10
00
00
10
10
10
00
00
00
01
11
11
00
01
10
11
00
01
10
00
10
10
00
00
00
10
11
01
10
01
00
01
00
11
10
11
10
01
11
10
00
01
00
10
11
00
11
11
10
11
01
01
00
10
10
00
00
10
01
00
00
00
11
10
11
10
00
11
01
00
00
00
10
00
00
10
10
10
00
01
11
00
01
00
11
10
01
00
11
10
10
00
00
00
11
11
01
10
11
00
10
00
01
00
11
01
01
10
10
11
11
10
10
00
00
01
10
10
00
01
00
10
10
00
00
00
10
11
01
01
00
00
11
11
00
01
11
10
10
11
00
01
10
10
11
00
01
00
10
10
10
00
00
10
11
10
01
00
01
11
00
10
00
00
00
10
11
01
10
11
00
10
10
00
11
10
11
10
00
01
11
01
00
10
10
00
11
10
00
01
00
00
10
10
00
11
00
10
00
00
10
10
11
10
01
10
10
00
01
10
00
01
10
00
01
01
11
00
00
10
10
00
11
10
01
00
00
00
10
11
11
10
01
10
11
01
10
10
00
10
10
10
00
01
00
00
00
10
10
00
10
10
11
01
01
11
00
00
10
01
10
00
00
10
01
10
10
00
00
00
10
00
10
00
11
00
10
11
10
10
00
10
11
10
00
01
00
10
00
10
11
00
10
11
01
01
00
00
10
10
01
00
01
10
10
00
01
00
01
00
10
01
10
11
00
11
10
10
00
10
11
11
00
01
01
00
00
10
10
01
01
11
00
01
10
11
01
11
01
01
10
00
11
00
00
11
10
00
11
10
00
01
00
10
10
10
00
00
10
11
11
00
00
00
11
11
10
00
00
11
10
11
00
11
10
00
00
01
10
11
11
00
10
10
10
00
11
11
10
00
00
00
01
10
00
01
01
11
11
10
00
10
00
01
00
10
10
00
10
00
00
11
00
00
00
00
11
11
00
10
00
10
10
00
10
01
11
11
01
10
00
00
01
01
11
10
00
10
11
01
10
10
11
00
11
00
11
00
11
00
01
11
10
10
00
10
10
01
00
10
10
11
11
01
11
10
01
00
10
11
01
00
01
00
10
11
00
00
11
01
00
00
00
10
00
10
10
01
00
01
01
00
00
11
00
00
00
00
10
10
00
10
10
01
10
10
10
10
00
11
00
11
00
00
10
00
01
00
00
10
10
11
00
00
11
00
00
10
00
00
10
00
10
11
00
10
11
00
10
10
00
00
10
01
00
10
11
10
11
11
00
00
00
10
10
00
01
10
10
01
00
10
01
00
11
10
11
10
11
00
00
01
00
00
10
00
00
00
10
00
01
00
10
10
10
00
10
10
10
00
01
10
00
00
11
00
10
10
01
00
01
00
11
10
11
10
00
11
10
00
00
10
11
11
01
01
10
10
00
10
10
00
00
11
10
11
00
01
01
01
00
10
10
01
10
10
10
00
10
10
00
00
00
10
11
11
00
00
00
01
00
10
10
00
00
01
11
10
10
00
11
10
01
00
11
10
11
00
00
11
11
00
11
11
00
01
10
10
01
10
01
00
10
10
01
11
00
10
01
00
01
00
10
00
11
11
01
00
01
01
00
10
11
10
01
00
10
01
00
10
10
11
01
01
10
11
11
01
10
11
00
00
10
01
01
10
00
01
11
10
01
00
10
10
10
10
00
00
10
10
01
10
10
00
00
01
10
10
00
01
10
00
11
10
01
00
10
10
00
10
10
11
00
10
10
11
10
01
10
01
01
10
00
00
11
11
01
10
01
01
00
00
10
01
01
10
10
10
11
00
11
01
01
11
01
00
10
10
00
10
10
00
01
10
10
00
00
00
00
10
11
00
00
01
00
11
10
00
10
00
01
10
00
10
10
00
01
10
00
11
00
00
10
01
11
00
01
00
11
00
00
10
00
00
10
00
01
00
00
10
11
00
00
10
11
10
11
10
00
10
10
10
00
00
10
01
10
10
00
01
00
11
00
00
11
10
11
00
10
11
00
10
11
00
00
10
00
00
11
00
11
10
10
00
00
10
10
00
00
00
11
10
10
11
01
00
10
10
00
01
10
01
00
00
11
10
10
01
10
10
00
00
11
10
10
01
10
10
10
01
10
00
10
10
11
00
00
10
10
00
11
10
00
01
11
00
10
10
10
00
01
10
00
10
00
11
11
01
10
00
10
10
10
10
00
00
01
01
10
10
10
00
10
11
10
00
00
11
01
01
10
00
10
00
00
00
00
10
10
10
10
10
10
11
10
10
01
01
11
11
01
01
11
10
11
10
00
00
00
10
11
00
00
00
10
00
10
10
00
00
00
01
10
00
00
00
00
10
00
00
00
10
10
00
11
01
10
00
01
00
00
11
01
11
10
01
10
00
10
01
10
11
10
00
00
10
10
01
00
10
00
10
10
10
11
00
11
01
10
00
00
11
11
00
01
10
10
11
11
00
00
01
10
01
11
01
10
01
00
01
01
00
00
10
00
00
11
10
10
00
10
00
11
00
01
10
10
00
10
10
00
00
10
10
11
11
00
00
10
11
10
01
10
10
10
10
00
11
10
00
00
10
10
00
10
10
11
11
10
10
10
10
00
00
11
10
00
01
10
01
01
00
01
01
10
00
00
10
10
01
10
00
01
10
10
01
00
10
00
11
10
10
11
00
01
00
00
10
11
01
11
11
00
10
11
10
01
01
00
11
10
01
10
10
00
11
01
00
11
11
11
10
10
11
00
10
10
01
01
00
11
10
00
00
11
10
01
10
00
00
10
11
10
00
01
11
01
00
00
10
01
10
11
10
00
10
10
10
00
11
10
00
10
01
00
10
00
00
00
11
10
10
10
10
10
01
01
00
11
00
10
11
10
10
11
01
10
10
10
00
10
10
00
11
10
01
00
00
00
10
11
00
11
11
01
00
01
00
10
10
00
00
01
00
11
00
10
00
11
01
11
01
00
00
10
10
00
00
11
10
01
10
10
00
10
01
01
00
10
00
10
00
11
11
00
10
11
10
11
00
00
00
00
01
00
00
11
11
01
00
10
11
10
00
00
10
10
10
00
01
11
01
11
01
00
10
00
10
01
01
01
10
00
01
10
11
00
11
11
10
10
00
11
10
10
00
10
00
10
10
00
10
10
11
01
10
10
00
10
00
10
10
10
00
00
01
00
11
00
11
10
11
10
10
01
00
10
11
10
00
00
00
10
11
10
00
00
00
10
10
01
10
00
10
00
00
10
10
11
11
11
10
10
00
00
10
00
11
11
11
00
01
00
10
10
10
00
01
00
10
11
00
10
00
00
10
10
11
01
00
11
00
01
10
01
01
10
10
00
00
00
11
10
10
10
10
00
00
10
10
10
01
10
00
11
01
10
10
10
10
10
01
10
01
10
10
00
10
10
01
01
01
10
00
00
01
00
00
00
01
11
00
00
11
10
10
00
00
00
01
00
11
11
10
11
11
11
00
11
00
11
00
01
10
10
00
01
11
10
00
00
11
01
00
11
10
10
10
01
10
00
00
10
10
00
11
10
10
10
10
11
00
00
10
10
00
00
00
01
10
00
00
11
01
00
10
10
01
01
10
10
10
01
01
10
00
00
00
10
11
10
11
01
00
01
10
11
11
10
01
10
10
00
01
00
10
10
00
00
11
00
00
10
10
10
11
00
00
00
10
00
11
00
11
01
01
10
10
11
00
01
10
00
11
00
00
11
00
10
11
00
10
10
00
00
10
11
00
10
10
00
00
10
10
10
10
00
00
10
10
01
10
10
11
00
10
00
10
01
10
11
11
10
00
00
01
00
00
10
11
01
01
10
00
11
00
10
00
00
01
00
00
11
00
01
00
00
10
01
00
00
00
11
00
10
01
01
11
10
00
10
10
00
11
01
00
11
10
10
00
10
01
00
00
11
01
01
11
01
01
11
11
10
10
00
00
10
11
00
11
10
10
10
11
00
01
01
10
00
10
11
00
00
11
00
11
11
00
01
01
01
10
01
10
10
10
00
00
11
10
01
11
11
10
11
10
10
00
11
10
00
11
01
10
11
00
10
01
00
11
01
10
10
11
00
11
10
01
01
00
00
11
11
00
10
10
01
01
01
10
10
00
01
00
10
00
00
11
00
00
11
10
10
10
10
01
10
10
01
00
11
10
00
10
00
00
00
01
10
00
11
00
11
10
10
01
00
01
00
10
10
01
01
00
00
10
11
10
10
00
01
10
01
00
00
00
00
11
10
11
10
11
10
11
10
01
11
01
01
11
00
10
10
00
00
11
00
00
10
11
00
11
00
00
00
00
10
10
01
00
11
00
00
10
01
11
10
10
00
11
00
10
10
10
10
00
10
10
01
00
11
01
00
00
11
11
10
10
00
00
10
11
00
10
01
11
10
00
10
01
00
00
10
10
01
01
10
01
10
11
00
11
10
00
00
10
10
01
11
10
11
00
11
00
10
10
10
10
01
11
10
10
01
11
00
01
10
00
00
00
01
10
11
00
10
11
11
00
10
10
10
11
00
01
11
11
00
11
01
00
10
11
11
01
11
11
01
10
11
00
10
10
00
00
10
11
00
00
00
11
10
00
11
10
00
10
00
00
10
10
01
00
00
10
00
01
00
00
00
10
00
00
10
00
11
10
00
10
00
00
01
10
01
00
10
11
10
11
11
00
00
11
10
10
00
01
10
00
01
11
10
10
10
00
00
01
10
11
00
11
10
01
00
00
11
00
00
10
01
11
00
00
10
00
11
00
01
11
01
00
00
10
10
11
10
01
00
00
11
10
10
10
00
10
00
10
10
11
11
00
10
00
00
11
10
00
10
10
00
10
11
00
00
10
10
00
00
11
10
00
11
01
00
01
10
10
11
00
11
10
01
00
10
00
11
11
01
00
01
00
10
00
00
10
11
01
00
11
00
10
10
00
00
00
00
01
11
11
00
01
00
10
00
00
00
10
00
00
00
01
00
11
00
11
00
01
10
11
10
10
00
00
01
10
01
00
11
01
10
11
00
01
10
10
00
00
10
00
10
10
01
00
10
10
00
10
10
00
11
00
01
10
01
10
01
11
10
10
10
10
00
10
00
10
00
11
10
00
10
00
01
10
01
01
01
00
11
10
10
10
00
01
10
11
00
10
10
01
00
01
10
10
10
00
01
00
01
10
10
00
10
11
00
00
10
10
11
10
00
01
00
10
01
00
00
01
10
10
00
00
00
01
11
10
11
00
11
00
01
11
11
10
10
11
00
01
00
10
11
01
00
11
10
10
10
00
00
10
11
01
00
00
00
10
11
00
01
00
10
10
01
11
11
00
00
00
01
11
00
10
10
01
10
00
00
10
00
00
00
01
10
01
10
11
00
10
00
10
10
00
01
00
01
10
00
00
11
01
01
01
10
00
10
10
00
11
10
11
10
00
11
00
00
01
11
11
00
10
00
01
00
00
10
10
01
10
11
01
01
11
10
01
00
11
10
01
00
10
10
00
11
00
00
10
10
01
10
01
00
00
10
00
11
10
01
00
00
01
00
01
10
11
01
10
00
11
10
00
10
10
01
00
10
00
00
10
10
11
10
11
00
00
00
01
00
00
10
10
11
00
00
00
10
01
10
11
01
01
10
10
00
10
10
11
00
00
10
10
00
10
10
00
10
01
00
10
00
01
10
00
11
10
00
01
00
10
10
00
01
10
10
10
00
00
00
11
10
00
00
00
10
00
10
01
10
00
01
10
11
01
10
10
10
10
00
01
11
11
10
01
10
01
11
11
01
00
01
10
10
10
00
00
10
10
11
00
00
00
00
10
10
00
11
10
11
10
10
00
00
11
10
11
00
10
00
11
10
11
00
01
10
10
10
10
10
10
00
00
00
01
11
10
11
10
11
11
11
00
00
01
11
01
00
10
11
00
00
10
01
01
11
11
11
01
00
01
00
10
10
00
00
00
10
10
00
00
01
00
11
10
00
01
10
10
10
10
01
01
00
10
00
10
01
00
11
10
10
00
01
00
00
00
10
11
11
10
11
00
01
00
10
10
00
00
00
01
10
10
10
00
11
10
10
00
10
00
01
01
01
00
10
01
00
00
10
11
10
10
10
00
00
11
11
10
00
01
10
10
00
00
00
11
00
00
01
10
11
11
10
11
00
10
11
01
00
00
00
11
01
01
01
00
10
00
11
11
11
00
10
10
00
00
10
10
00
01
00
01
00
10
00
10
10
10
00
01
00
10
00
11
11
10
00
11
10
10
10
01
00
11
11
00
01
10
10
01
01
11
00
00
11
01
01
10
00
10
10
00
01
01
01
10
10
01
10
01
00
10
11
11
00
11
00
00
10
10
10
01
10
10
11
01
10
10
10
11
01
10
00
00
01
10
10
00
01
11
11
10
01
00
10
01
00
01
10
10
00
00
10
10
10
10
00
01
00
11
10
00
01
10
11
01
11
10
10
01
01
10
10
10
01
01
01
11
11
00
01
10
00
00
10
10
11
00
00
00
11
01
10
01
00
11
10
00
01
10
01
01
10
10
01
10
00
01
10
10
00
00
00
10
11
00
10
10
00
10
00
11
10
10
00
01
00
10
00
00
10
10
10
01
00
10
10
11
10
00
01
10
10
00
10
00
10
10
11
00
10
00
00
00
00
10
10
10
01
10
11
11
01
00
00
00
10
10
10
00
01
11
10
01
00
10
00
01
00
00
01
10
10
01
00
00
11
11
01
00
10
10
11
00
10
10
00
01
11
10
10
00
10
00
00
10
00
00
11
00
01
10
11
10
01
10
10
00
11
00
01
01
10
10
00
10
01
00
10
10
00
11
10
10
10
00
11
11
00
01
11
01
10
01
00
10
10
01
10
11
00
01
10
01
10
11
10
11
00
01
10
00
11
10
00
10
01
00
00
00
10
00
00
10
00
01
11
00
10
01
10
01
00
11
10
01
00
00
10
11
11
01
11
11
10
01
00
10
00
10
11
00
00
01
10
01
00
10
10
00
00
11
10
00
00
00
00
00
00
10
00
00
11
01
11
01
11
10
00
10
11
11
01
00
11
10
00
00
01
10
10
10
11
10
10
00
00
10
01
11
11
11
11
00
11
10
10
00
00
10
01
10
00
00
11
10
10
01
10
01
00
11
00
00
11
11
10
01
00
11
01
10
10
11
11
00
00
10
10
00
00
11
00
00
10
01
10
00
00
10
00
10
10
10
00
00
10
10
00
01
10
11
00
00
10
11
10
00
00
11
00
00
10
11
10
01
10
01
00
10
10
10
10
00
10
10
11
00
11
00
00
00
00
10
10
01
00
00
10
01
10
10
10
11
10
00
10
11
10
00
10
00
01
10
10
10
00
00
01
00
11
00
01
00
00
01
10
01
01
01
11
00
11
11
10
00
00
01
11
11
00
10
00
10
01
10
01
00
11
10
10
11
00
11
01
00
10
11
10
01
10
11
00
00
10
00
10
10
00
00
01
11
00
01
00
10
00
10
10
00
00
11
10
10
01
11
11
00
11
10
11
00
10
00
00
10
10
00
00
00
10
00
00
10
11
01
10
01
00
00
10
10
00
00
11
10
11
10
01
10
10
10
00
00
10
00
00
00
10
01
00
01
10
10
11
00
01
11
00
00
11
00
01
01
11
11
11
01
11
00
00
11
01
00
10
10
01
11
00
11
10
00
01
01
01
10
01
00
10
00
10
00
10
11
00
11
01
11
00
00
01
10
00
00
10
10
10
00
10
11
10
10
01
00
11
10
10
10
00
10
00
01
11
01
00
01
01
00
11
10
01
00
00
00
11
10
10
10
10
10
11
00
00
10
10
11
00
01
00
10
10
00
00
00
00
10
10
00
01
10
01
00
01
10
00
10
00
11
00
10
10
10
00
01
10
00
00
00
10
00
00
11
00
10
10
10
11
10
01
10
10
00
00
00
11
00
00
00
10
01
01
00
11
00
11
10
00
10
01
00
10
10
00
00
11
00
10
00
00
10
00
11
00
01
10
00
10
01
00
10
00
00
10
10
10
10
00
10
01
00
00
00
01
00
10
10
10
10
11
10
00
00
10
10
00
00
00
10
00
01
10
11
10
00
00
01
10
10
10
00
00
00
10
10
01
00
10
11
01
00
11
00
10
10
10
00
10
11
00
01
11
00
00
00
10
00
11
11
01
01
10
10
00
11
10
00
10
11
00
10
01
10
11
10
11
00
10
10
11
10
01
00
11
10
11
01
01
00
10
00
01
10
10
10
00
11
10
10
11
00
01
10
01
10
10
10
00
11
10
01
01
00
10
10
00
10
10
01
00
10
00
10
00
00
00
10
11
01
10
10
10
10
11
01
00
10
11
00
11
01
00
10
00
00
11
00
00
11
10
01
10
00
00
00
00
00
11
11
00
00
11
10
11
11
01
10
00
00
11
10
01
01
10
00
00
11
10
11
01
10
00
00
11
01
00
10
11
01
00
00
10
00
10
00
11
10
00
00
01
00
01
10
00
00
10
01
00
11
10
01
00
00
00
01
01
11
11
00
11
00
01
10
01
00
11
11
11
11
00
00
11
00
00
00
00
10
00
10
10
10
00
10
11
00
10
10
01
11
01
10
11
01
01
10
01
10
10
11
10
00
00
01
10
01
10
11
11
01
10
10
01
00
00
10
11
00
01
10
00
11
01
10
10
00
11
01
00
10
00
10
11
01
00
10
10
00
01
10
10
10
10
00
10
01
01
10
10
01
10
01
00
01
00
10
11
01
00
11
00
10
10
00
10
11
01
01
00
10
11
00
11
10
00
00
11
11
00
10
10
00
10
10
00
00
00
11
11
00
01
11
10
10
10
00
00
01
10
10
00
10
10
10
11
01
01
11
10
10
10
00
10
11
00
10
10
00
01
00
10
00
01
10
10
01
00
11
00
10
10
01
00
10
10
10
01
00
00
10
10
01
00
10
11
00
00
00
00
10
11
01
01
01
00
10
00
11
00
10
10
00
10
00
01
00
11
10
00
01
10
00
00
00
10
11
00
00
00
01
10
00
01
00
11
00
00
11
11
00
00
10
11
10
00
00
10
00
00
10
10
11
00
10
00
00
10
01
00
10
00
10
01
11
01
10
11
11
01
00
11
11
01
01
10
00
10
01
11
11
00
00
00
00
10
11
01
00
11
10
00
00
01
01
11
10
01
10
10
00
01
10
11
01
00
11
10
10
00
00
10
10
10
11
01
10
00
00
10
11
10
00
00
11
00
00
00
00
11
00
10
00
00
00
11
01
00
01
11
11
10
10
00
11
00
00
00
11
10
11
10
01
00
00
00
00
01
11
10
10
10
01
01
00
10
10
00
00
01
11
00
01
11
00
11
10
00
00
00
10
01
11
10
01
10
00
10
01
00
11
00
01
10
11
10
10
10
00
10
11
01
10
10
11
00
00
11
10
00
00
11
00
10
11
00
11
00
00
00
11
00
00
00
10
00
10
11
10
10
00
10
00
00
00
11
00
10
11
00
01
00
00
11
00
00
11
10
00
10
00
00
10
10
00
00
11
10
11
00
11
00
00
11
10
11
00
01
00
10
10
00
00
11
00
00
00
01
10
11
00
01
11
00
11
10
11
01
00
00
00
10
11
00
10
10
10
01
10
10
00
10
10
10
00
11
00
01
00
10
01
10
00
01
00
00
00
00
10
10
10
10
00
11
01
00
10
11
11
11
00
10
10
00
10
01
01
10
00
10
01
00
01
00
11
10
00
00
01
10
10
10
11
10
01
00
10
10
10
01
00
10
11
00
00
10
10
01
11
10
10
11
10
10
11
00
10
00
01
01
10
11
10
10
10
01
10
00
01
10
00
10
10
10
10
11
10
00
11
10
00
10
11
00
11
11
00
01
01
01
01
01
10
10
11
00
10
10
01
00
10
11
00
00
11
11
00
11
00
00
01
11
10
00
10
01
11
11
11
10
10
11
01
00
10
10
00
10
00
01
10
00
00
11
01
10
00
00
00
00
10
10
00
10
10
10
11
00
01
10
01
00
00
10
11
01
00
10
10
10
01
00
00
00
10
11
11
01
01
10
11
10
10
10
10
01
00
10
11
10
10
01
01
10
01
00
10
10
11
00
10
10
00
11
11
00
10
10
00
01
10
00
10
00
01
00
10
11
00
01
00
10
10
00
00
01
01
10
00
00
10
01
00
10
01
11
00
00
00
10
10
01
00
10
10
00
00
11
10
10
11
00
11
11
10
10
10
10
11
00
01
00
00
00
01
11
10
00
00
10
10
00
01
10
00
01
10
11
10
00
01
10
11
01
00
00
00
10
10
11
01
01
10
10
00
10
10
10
11
00
00
10
10
10
01
00
11
00
10
00
00
11
00
11
10
00
11
11
11
01
11
10
11
10
00
00
10
11
00
01
11
10
00
01
10
10
11
01
01
11
00
10
11
10
10
11
00
01
10
10
00
00
10
11
00
11
00
10
00
11
10
00
00
10
01
00
10
11
00
00
00
01
00
10
00
10
10
00
00
10
10
11
10
11
11
01
10
00
00
00
01
10
11
00
11
00
01
00
11
00
10
10
10
10
11
00
00
00
10
10
10
01
10
00
01
00
01
10
01
00
01
00
10
00
00
10
00
11
11
00
01
00
11
00
00
10
11
10
11
11
01
10
00
11
10
00
00
00
00
01
10
00
01
00
11
10
00
11
00
00
10
11
01
00
01
10
11
10
10
00
00
11
11
10
01
10
00
01
10
11
10
01
01
11
10
00
00
00
00
10
10
00
00
01
00
10
00
01
10
01
10
01
00
11
10
10
11
00
11
10
00
00
01
00
01
10
10
10
10
00
10
10
00
00
00
10
11
00
01
11
10
10
00
11
00
10
01
10
10
01
00
01
10
10
01
10
01
01
00
00
11
10
00
00
11
10
00
00
11
00
00
00
00
00
10
01
01
00
00
00
01
11
01
01
01
00
00
00
10
10
00
10
10
01
10
01
01
10
10
00
10
10
10
01
00
01
00
10
00
11
00
00
10
11
10
10
10
01
00
11
10
01
10
11
10
00
10
00
00
10
11
01
11
11
01
11
00
01
10
01
11
10
00
11
11
00
00
10
10
00
00
00
10
11
01
00
00
10
10
00
00
00
10
00
00
00
00
10
10
00
11
10
00
10
11
01
10
10
00
00
00
00
10
10
11
10
01
11
01
00
00
10
10
01
11
01
00
00
10
00
10
10
10
11
10
10
00
00
11
10
00
00
11
00
01
00
10
10
00
10
11
11
00
10
11
00
11
00
01
10
10
01
10
10
11
10
00
10
01
01
11
10
11
00
01
10
01
00
10
10
10
10
10
00
10
01
00
10
10
10
10
00
10
11
10
01
10
00
10
00
00
10
11
00
11
01
10
01
00
10
11
10
00
00
01
10
10
10
11
10
01
00
11
10
00
00
00
00
01
10
11
00
11
10
11
00
00
00
11
10
01
00
10
10
00
01
11
00
10
10
01
01
00
11
11
01
11
00
00
10
01
11
10
01
00
10
00
00
10
11
10
01
00
11
10
00
00
11
10
11
00
01
00
10
10
00
00
10
00
00
11
10
01
00
00
10
11
00
00
00
10
00
00
01
00
11
00
00
00
01
01
01
10
10
00
11
01
01
10
10
11
00
10
00
00
00
00
00
11
01
01
10
01
00
01
10
00
10
10
00
00
01
10
01
01
10
11
00
01
10
10
00
00
00
10
10
00
10
00
11
10
00
00
11
10
01
10
01
00
11
10
11
00
00
10
01
10
11
10
00
10
01
11
11
10
10
10
10
10
00
01
11
01
10
00
00
10
11
10
00
00
10
01
10
10
01
00
10
11
01
01
10
00
00
10
10
11
00
00
00
01
01
11
11
00
01
00
00
10
11
00
01
11
01
10
10
01
01
00
11
00
00
11
00
10
10
00
00
11
00
10
10
11
01
10
11
01
00
00
11
11
01
00
10
10
00
10
10
11
00
11
10
10
00
00
11
00
11
10
00
00
00
10
01
00
10
10
00
11
00
00
11
00
00
00
00
11
10
00
10
00
00
01
10
11
00
01
10
00
11
10
10
10
01
01
00
00
01
01
10
10
00
11
11
10
10
01
11
00
00
10
11
00
00
11
00
01
10
10
10
10
00
00
11
10
10
10
00
01
00
11
10
00
10
00
00
10
00
00
10
11
00
01
11
10
01
10
01
10
11
01
01
10
11
10
00
00
10
10
00
10
10
00
10
01
00
01
10
10
01
00
00
00
10
10
00
11
00
00
10
10
00
10
00
00
00
11
00
00
00
01
10
01
10
11
00
10
10
00
00
10
00
00
10
10
00
11
10
10
11
00
10
10
00
01
00
11
10
01
00
01
11
00
00
10
10
01
00
11
11
10
00
10
10
00
10
10
10
00
00
00
00
11
11
00
10
01
10
01
10
11
00
10
11
00
11
11
10
00
11
00
00
00
10
11
01
11
01
10
10
00
11
00
00
10
11
10
01
00
01
01
11
11
01
10
11
11
00
00
10
11
10
00
00
11
01
01
10
11
00
11
10
11
01
00
11
11
00
10
00
00
11
00
00
10
10
00
00
10
10
10
00
10
10
01
10
10
01
00
10
00
11
11
00
00
10
10
00
10
10
11
10
11
11
00
01
11
11
00
10
01
00
00
10
10
01
00
10
11
10
00
11
00
00
10
10
11
10
00
00
10
10
10
00
00
00
00
10
00
10
10
00
10
01
00
10
11
00
10
10
11
00
00
10
10
01
01
11
10
00
00
00
10
01
11
00
10
11
10
10
10
10
10
01
01
00
01
11
00
00
10
00
01
11
10
00
00
00
00
00
10
00
01
11
10
11
10
11
11
11
11
00
00
10
01
00
10
10
00
10
00
10
10
01
00
11
10
01
00
00
10
11
00
00
00
00
10
10
00
11
10
01
00
11
01
00
10
00
10
01
11
10
10
00
11
01
10
10
00
10
01
11
10
01
00
10
01
00
10
10
00
01
00
10
10
01
00
10
00
11
11
00
11
10
00
11
01
10
11
11
00
00
01
11
10
10
10
00
00
10
01
00
11
00
10
01
00
00
11
01
01
10
00
10
10
00
10
10
01
01
10
10
10
11
01
00
00
10
11
00
10
10
00
10
10
10
11
00
10
00
00
00
10
10
10
11
11
00
11
10
01
01
11
00
00
00
00
00
10
11
10
10
11
10
00
00
01
01
11
10
01
10
00
11
01
00
10
10
01
10
11
00
00
10
10
00
00
11
00
11
00
11
01
00
10
01
10
01
10
10
10
00
10
10
00
11
11
11
10
00
01
01
01
01
10
10
00
10
00
00
10
11
00
10
00
11
10
00
00
01
00
11
11
00
00
00
01
10
00
11
10
10
10
00
00
10
10
11
11
10
11
00
00
00
10
00
00
10
11
10
01
00
11
01
01
10
01
00
00
01
11
11
00
01
10
10
01
10
10
00
01
10
10
00
10
00
00
00
11
10
00
00
11
10
10
11
00
10
10
10
00
00
11
11
00
00
01
10
10
00
00
10
10
01
01
01
10
10
10
00
10
10
01
00
00
01
10
10
10
11
10
00
00
10
00
01
10
01
01
10
11
00
11
10
01
10
10
01
01
00
10
11
10
00
00
00
10
01
10
11
10
00
00
00
00
10
10
10
00
00
00
10
11
00
00
00
10
00
00
00
11
11
00
11
00
00
10
00
00
10
10
01
00
10
00
00
10
10
00
01
10
00
10
10
10
11
10
00
00
00
10
10
00
10
10
11
10
00
00
00
10
00
10
00
10
00
10
10
10
00
00
00
00
11
10
10
11
00
10
01
11
10
11
11
11
10
00
11
01
00
00
10
11
10
00
00
00
11
00
10
11
01
11
01
10
10
00
00
10
01
01
10
10
01
01
00
00
00
10
11
01
00
00
11
10
00
11
10
01
00
10
10
11
01
01
00
11
10
00
10
10
00
00
10
10
10
00
00
01
00
10
11
00
00
10
10
10
10
11
00
00
11
10
10
10
00
00
00
10
01
10
10
00
11
11
00
01
11
11
01
10
00
01
01
11
00
11
10
01
00
00
10
10
00
01
01
10
10
00
11
11
10
10
00
10
11
00
11
11
01
10
00
01
00
00
00
10
11
10
10
00
11
11
10
01
00
10
10
01
01
01
00
10
00
10
10
00
11
00
10
00
11
00
00
00
00
00
10
00
01
11
11
10
00
10
10
01
10
00
00
11
10
10
10
11
01
01
10
10
00
01
01
00
01
10
10
10
00
00
11
00
00
11
00
00
00
10
01
01
00
11
10
00
10
00
01
11
11
10
10
10
00
01
10
10
01
01
11
11
01
00
10
10
01
01
10
10
11
00
10
11
00
10
10
00
10
10
00
01
01
11
10
01
01
01
00
11
10
00
10
11
00
01
10
10
00
00
10
10
10
00
00
11
01
00
01
01
10
10
00
10
10
00
01
01
10
10
00
11
01
00
11
01
01
10
10
00
00
10
11
00
00
10
10
10
11
00
00
00
10
11
01
10
10
00
00
10
00
00
10
00
11
00
00
11
11
11
00
10
10
00
00
00
10
10
11
01
00
10
01
10
10
01
10
11
10
01
10
11
00
11
11
00
00
11
00
00
00
10
11
01
00
11
00
00
00
00
00
10
10
00
00
01
10
11
11
10
10
11
11
00
01
11
10
11
00
10
10
01
00
10
10
01
01
11
00
00
11
10
01
10
01
10
00
01
00
10
11
10
00
10
11
00
10
10
00
11
11
10
10
11
00
00
00
10
00
00
11
00
11
00
10
10
10
01
01
11
00
00
10
00
00
00
10
11
11
00
01
00
11
00
00
00
10
00
00
00
10
10
10
10
00
00
11
10
11
11
10
00
10
01
10
10
00
00
10
11
10
00
00
00
11
10
00
00
10
10
01
10
10
00
00
00
00
11
10
11
10
00
10
10
01
00
11
10
10
00
01
00
10
10
00
00
11
10
00
10
11
00
10
10
10
11
11
00
01
00
10
01
00
10
11
11
01
10
11
00
00
11
00
10
11
10
00
01
01
00
01
00
10
10
01
01
01
00
11
11
00
11
10
11
00
00
10
10
01
00
10
01
10
00
01
10
11
11
10
00
00
01
10
11
01
10
00
01
10
10
11
00
00
01
11
11
10
00
10
00
01
01
00
11
00
10
10
11
10
01
01
11
00
10
10
00
11
10
01
00
00
10
01
11
00
00
10
10
00
00
10
00
01
10
01
10
01
10
11
10
00
10
11
00
01
00
11
00
10
00
11
00
00
00
10
00
00
01
01
01
00
10
00
10
01
00
10
11
10
00
00
11
10
10
00
10
00
11
01
01
10
10
01
01
10
10
00
01
10
00
00
00
00
10
10
11
11
11
11
10
00
10
00
00
11
11
01
00
01
10
01
10
10
00
01
10
11
00
01
00
10
00
11
00
00
10
10
00
10
00
00
10
10
00
10
10
00
00
00
10
11
00
10
00
01
10
11
00
11
00
00
10
01
00
11
10
01
00
01
00
10
00
00
10
01
11
00
00
00
10
10
10
11
00
00
00
10
00
00
11
01
11
00
10
10
10
10
11
10
11
00
10
10
00
11
01
10
10
00
10
11
11
00
10
10
01
00
11
00
01
01
01
10
10
00
10
01
00
10
11
00
11
00
10
01
10
11
00
10
00
10
00
01
00
10
11
10
10
00
11
10
11
10
10
00
11
01
00
01
11
10
10
00
01
10
11
00
10
11
10
10
11
00
00
10
00
00
00
11
10
10
01
01
10
01
11
00
11
01
10
10
10
00
00
10
10
00
11
00
10
11
00
01
00
11
00
10
10
10
10
00
11
11
00
01
10
00
10
01
00
01
00
00
10
10
01
00
10
11
10
00
10
10
00
00
10
10
00
01
10
10
00
10
10
01
01
00
10
11
10
00
00
10
10
10
11
01
11
00
00
10
00
00
10
11
00
00
10
10
00
11
11
01
01
00
10
01
10
10
10
00
00
10
10
00
11
10
00
00
11
11
01
01
11
00
00
01
00
11
10
00
11
00
00
11
10
00
11
00
10
00
00
00
10
01
01
11
10
10
00
01
00
01
01
11
10
01
00
10
01
00
00
10
01
00
11
00
01
10
10
00
10
11
00
00
11
10
00
00
00
10
10
11
00
11
00
11
11
11
01
01
01
11
00
01
01
10
10
01
10
11
10
01
01
00
00
11
00
00
10
11
00
01
10
11
00
01
10
10
10
00
10
11
00
00
10
11
01
11
10
10
10
10
00
11
01
01
10
01
00
00
00
10
10
01
01
10
01
00
10
01
01
10
10
00
00
00
11
11
10
10
00
00
11
00
11
01
11
10
10
01
00
10
11
01
01
10
01
00
00
11
10
01
00
10
11
11
01
01
10
10
11
00
11
10
00
00
11
10
01
11
10
00
10
10
01
01
11
10
10
00
01
00
11
01
11
11
00
00
01
11
11
01
01
10
01
00
10
10
01
00
10
00
00
10
10
01
01
01
10
11
11
01
10
10
10
00
10
10
00
00
00
10
00
00
00
10
00
00
00
01
00
00
01
00
00
10
11
01
10
01
11
00
10
10
00
11
10
00
01
10
00
00
01
11
01
00
11
00
11
00
00
11
10
10
01
00
11
10
01
01
11
11
00
00
11
11
00
10
11
10
01
10
10
00
00
10
10
00
01
10
00
11
10
00
00
00
10
00
00
10
00
00
10
10
10
11
00
00
10
10
10
11
00
00
10
01
10
00
10
01
11
11
10
00
00
11
00
10
00
10
01
10
11
00
10
00
00
00
00
10
11
00
10
10
10
10
10
00
00
10
10
00
00
00
10
00
10
10
10
11
00
00
01
00
01
10
11
01
00
11
10
01
00
11
00
11
10
00
00
11
11
11
01
01
00
00
10
11
00
01
01
11
10
01
01
11
11
01
10
01
00
10
11
00
11
00
00
10
10
10
00
01
01
01
11
10
11
00
10
10
11
01
00
10
00
01
10
10
00
00
10
10
10
10
10
00
10
00
00
10
00
00
00
11
11
00
00
10
10
11
10
10
10
01
10
10
00
00
11
00
10
10
00
00
10
00
00
10
00
00
01
00
01
10
11
00
11
00
10
00
00
11
10
00
00
01
00
00
00
10
10
00
01
00
10
11
10
10
00
11
10
01
01
11
10
00
01
10
11
10
01
01
11
00
00
11
10
10
00
10
11
11
01
00
10
00
01
00
10
10
01
00
10
01
10
10
00
01
11
01
01
10
11
11
10
00
00
00
10
10
00
00
10
00
10
10
10
00
01
01
01
10
11
10
10
00
11
10
10
01
00
10
10
00
00
00
00
10
11
11
11
10
00
00
01
11
00
10
10
00
01
01
10
10
10
11
00
10
00
10
10
00
10
10
01
00
01
00
01
00
10
10
10
00
11
10
00
10
11
11
00
10
00
11
00
01
11
10
11
00
01
10
01
01
10
10
00
00
01
00
10
10
10
10
11
10
01
00
10
10
10
11
10
10
00
00
10
00
00
00
00
10
10
10
01
00
00
00
01
10
00
01
10
01
10
11
01
00
01
00
10
10
01
00
10
00
01
11
10
10
11
00
00
00
11
00
00
10
00
10
10
11
11
01
11
00
10
11
00
10
01
00
00
11
11
00
10
01
01
10
10
10
10
10
10
00
10
00
11
10
10
00
00
11
11
10
00
01
01
00
10
00
10
10
11
10
01
00
10
10
00
01
10
10
00
00
00
10
11
00
00
00
10
10
01
00
11
00
00
01
10
11
10
01
00
10
10
00
10
00
10
10
00
00
00
00
11
00
10
00
11
10
00
10
00
01
11
10
10
00
10
10
10
11
00
11
01
01
11
00
10
01
00
10
01
10
11
11
00
00
10
00
01
01
10
11
00
11
00
11
00
00
00
10
00
00
10
00
01
00
11
00
01
00
00
00
10
00
00
10
11
01
00
01
10
11
00
10
00
11
00
01
01
11
10
00
01
11
10
00
00
10
10
00
01
10
01
01
11
10
10
00
00
00
10
00
00
01
11
10
01
00
10
11
00
10
11
00
01
00
00
10
00
00
11
11
01
11
10
00
11
10
10
00
10
10
11
10
01
00
11
11
11
00
11
10
11
10
00
00
11
01
00
11
00
00
10
01
00
11
10
00
00
10
11
10
10
00
01
11
01
01
10
11
10
00
00
01
10
11
00
00
10
10
00
00
10
00
00
00
11
10
10
11
00
00
10
11
00
00
10
10
11
10
00
00
10
10
00
00
10
10
00
10
10
00
00
11
00
01
00
10
10
10
10
01
01
10
01
10
01
10
00
01
11
01
11
00
01
00
11
11
11
00
01
00
10
01
00
10
10
00
01
00
10
00
10
10
01
10
01
01
11
11
00
00
10
10
00
10
11
01
00
00
01
10
00
11
00
10
00
00
10
01
00
00
01
11
10
11
00
01
10
00
00
00
11
11
11
11
00
00
00
10
10
10
10
00
01
10
01
10
01
10
11
00
11
10
00
00
00
11
00
11
10
01
10
00
11
00
00
11
10
10
00
01
01
00
11
00
11
00
10
10
10
00
00
10
00
10
00
10
00
00
10
00
01
00
11
00
10
10
11
01
01
10
00
10
11
10
10
10
11
10
00
10
10
01
01
01
00
01
10
00
01
10
01
00
00
11
00
10
10
11
01
00
00
00
01
00
01
11
11
10
01
10
00
11
11
01
11
00
10
11
00
11
10
01
01
00
00
10
11
00
00
10
10
01
00
00
00
10
10
10
10
00
10
01
00
11
00
11
10
00
00
11
11
01
00
10
01
00
00
00
01
10
00
11
11
10
11
00
00
01
00
11
00
00
10
00
10
00
00
10
11
10
10
10
10
00
11
10
10
01
00
10
10
00
11
00
10
10
10
10
00
01
11
10
11
01
10
10
00
00
11
00
01
00
10
10
00
11
01
01
10
10
10
00
10
01
00
11
10
00
10
00
10
10
00
00
11
00
01
01
00
11
00
00
11
10
01
00
11
01
01
11
01
00
10
11
00
11
00
10
10
00
10
00
10
00
00
11
00
11
10
11
10
00
01
10
11
10
01
01
10
11
11
10
01
11
11
01
01
11
01
01
10
00
00
10
10
01
10
00
01
10
11
00
01
10
00
00
10
10
10
00
00
00
00
00
00
10
11
00
00
00
00
10
10
00
10
10
10
00
00
00
11
00
10
10
11
00
00
00
11
01
11
01
11
10
00
10
00
00
10
10
01
10
11
10
11
00
11
10
00
01
10
00
00
00
10
10
01
11
10
01
01
00
10
11
00
00
00
10
11
01
00
10
00
10
01
00
00
11
11
10
11
00
11
01
00
01
10
10
00
00
00
00
10
10
01
01
10
11
01
10
00
00
00
00
00
10
11
01
01
00
01
11
11
00
01
00
11
11
00
11
10
00
01
00
10
01
01
00
00
00
10
00
00
11
01
01
01
11
00
11
11
10
01
01
10
11
00
01
00
10
10
10
11
00
11
00
11
11
01
10
00
00
10
11
00
00
10
10
11
10
11
00
01
00
10
10
00
10
10
10
10
00
00
00
00
00
10
10
00
11
10
00
10
10
00
00
10
10
10
00
10
00
11
01
00
00
00
11
10
00
10
11
10
10
00
00
01
11
00
00
10
01
10
10
00
11
10
00
00
01
11
00
10
01
00
10
00
00
10
00
10
10
10
11
01
01
00
00
00
11
00
11
00
10
10
10
00
01
00
00
11
10
11
00
00
10
10
00
10
01
01
10
11
11
01
00
01
00
10
01
01
10
00
00
01
01
11
10
00
10
00
00
10
10
10
00
10
00
00
10
11
01
10
10
01
00
11
10
01
10
11
01
01
01
10
11
00
10
01
10
00
00
01
11
00
10
10
10
10
00
10
00
00
10
00
01
10
00
00
11
00
10
00
10
11
11
00
00
00
11
11
00
00
10
11
11
10
00
00
10
10
10
11
00
00
00
00
10
10
00
10
10
11
00
10
10
10
10
10
00
00
00
10
00
10
01
01
00
11
10
10
11
00
01
10
11
00
10
00
00
00
10
10
00
00
11
11
10
01
10
10
10
01
11
01
01
11
11
01
11
10
11
10
00
00
11
11
01
10
10
10
01
00
11
10
11
01
00
01
10
00
00
00
00
00
11
10
11
10
00
00
01
10
10
10
00
01
00
00
10
00
10
10
10
10
00
00
10
10
11
10
11
01
01
00
00
00
10
10
01
00
11
00
00
11
00
00
00
10
11
10
11
00
10
11
11
00
01
00
00
10
00
10
11
00
00
01
01
10
10
10
11
01
00
11
01
01
11
11
01
11
10
01
00
10
11
00
00
10
00
00
01
01
10
10
00
10
00
01
00
11
11
10
00
00
10
10
10
01
00
10
11
11
11
11
00
00
10
10
00
10
11
10
01
10
10
00
11
01
01
01
10
10
01
10
01
10
10
00
00
10
10
10
00
10
00
11
11
00
00
01
11
10
10
00
00
11
10
11
00
10
10
00
10
01
00
10
11
00
10
11
00
01
00
11
10
00
00
00
11
11
01
00
11
10
00
10
00
00
00
11
10
10
01
01
10
10
11
00
11
00
10
10
10
10
01
10
10
10
00
00
00
10
11
00
00
00
01
00
10
11
11
00
01
00
11
00
10
11
00
00
10
10
00
10
11
11
00
00
00
00
10
00
01
10
10
01
10
10
01
11
00
10
01
11
11
01
00
01
10
10
00
00
10
10
10
00
10
11
01
10
00
00
00
10
10
11
10
10
00
10
00
00
00
10
00
10
10
00
01
10
11
10
00
10
10
00
00
01
10
01
00
00
11
10
01
11
10
01
01
10
11
01
00
01
01
10
00
01
00
00
11
10
10
00
00
01
10
11
01
00
10
11
10
01
10
11
00
00
11
10
01
01
00
10
11
00
00
00
10
10
10
10
00
00
10
10
10
00
10
11
00
00
10
01
11
00
10
10
01
01
00
00
01
10
10
00
11
00
00
11
10
10
11
00
01
10
11
10
10
10
11
10
10
00
00
10
10
10
00
00
10
01
11
00
11
00
10
10
00
01
10
00
00
11
10
10
10
00
11
00
10
00
01
10
10
00
10
01
00
00
11
00
00
00
10
11
11
11
10
10
11
11
11
00
00
10
10
00
01
00
11
10
01
10
11
01
00
01
10
01
10
00
00
10
11
00
01
00
01
01
10
01
01
10
10
11
11
00
01
10
00
00
10
10
10
10
01
01
10
11
11
10
10
10
01
00
10
10
10
10
00
10
00
00
11
00
11
10
11
11
00
01
10
00
10
10
00
00
11
11
00
11
11
11
00
10
10
10
00
00
10
01
00
10
01
00
01
11
11
01
10
10
01
10
01
10
10
00
10
10
11
01
00
10
00
00
11
10
01
00
10
10
11
00
11
11
00
00
11
10
00
10
00
00
10
10
10
11
11
01
00
00
00
11
10
10
00
00
00
11
10
10
11
00
01
00
10
10
10
01
00
11
10
01
10
00
00
00
00
10
10
01
01
00
10
00
10
11
01
10
00
11
10
10
10
00
00
10
10
11
00
10
10
11
00
11
00
10
10
11
10
00
10
00
00
01
00
10
00
00
10
10
00
00
10
11
00
10
10
11
10
11
00
11
10
00
00
00
01
11
10
00
01
00
11
10
10
01
00
10
10
10
01
11
11
01
10
00
10
10
01
01
11
11
10
01
00
11
10
11
00
10
00
00
00
11
10
00
00
10
00
00
00
10
00
01
00
00
11
10
00
10
00
10
10
01
11
10
00
10
01
00
11
00
00
10
10
00
01
10
11
01
00
11
10
00
00
00
11
00
00
00
11
10
11
11
01
10
01
10
11
01
00
01
11
01
01
11
11
01
00
10
01
00
10
00
01
10
01
11
10
01
10
11
00
00
11
11
00
10
11
01
11
11
10
11
00
10
00
00
10
10
01
00
00
10
10
10
00
10
00
10
10
00
10
10
10
00
11
00
10
10
10
00
11
00
00
10
00
10
11
11
00
10
00
01
11
11
00
01
00
01
10
10
00
10
11
00
01
10
00
01
00
00
00
00
10
00
00
11
10
00
00
00
00
01
00
10
00
10
10
01
10
10
10
01
01
00
00
10
00
10
10
01
10
00
00
00
10
10
10
00
11
01
00
00
11
00
10
10
11
00
00
01
11
11
00
11
11
00
11
00
00
10
11
11
01
00
11
00
01
00
01
10
11
10
01
10
10
00
00
00
11
00
01
10
01
10
10
00
10
10
01
00
11
11
00
10
10
11
10
00
00
10
11
10
01
10
11
01
00
01
10
00
00
01
10
11
10
01
00
00
00
10
11
00
00
11
00
00
01
10
11
00
00
10
10
01
00
10
10
01
00
10
10
01
00
10
11
01
10
01
01
00
00
11
00
10
11
00
00
01
11
11
10
00
10
10
11
00
00
10
01
00
00
10
10
00
11
10
01
00
11
01
11
10
00
00
10
10
00
10
10
00
00
01
00
01
10
10
10
01
00
00
11
10
10
01
00
10
01
01
11
01
10
10
00
00
11
00
01
10
10
00
01
10
10
01
00
00
10
00
00
00
11
10
11
10
11
00
10
10
00
01
10
00
00
00
00
01
10
00
10
00
10
11
10
01
00
10
10
11
00
10
11
01
00
10
10
11
10
01
01
01
11
11
10
00
10
10
00
10
10
00
00
10
01
10
00
01
01
00
10
01
10
00
01
11
00
00
10
00
00
10
11
10
11
00
01
01
01
00
10
10
01
01
11
10
01
10
10
00
00
10
11
00
01
01
00
10
10
00
00
10
00
00
00
11
10
11
01
00
00
10
00
01
11
11
10
10
10
11
00
10
01
00
00
00
10
10
11
01
00
00
01
00
10
01
10
10
00
01
00
00
00
00
11
00
01
10
10
10
11
10
11
00
01
00
10
10
11
01
00
11
10
10
00
11
11
11
00
00
00
00
00
11
00
01
11
10
00
00
10
10
00
00
00
10
10
11
10
00
11
00
01
10
00
00
00
11
10
11
01
10
10
00
00
01
10
11
00
00
11
10
00
10
11
00
10
10
01
00
10
10
00
00
10
11
11
00
11
11
10
11
00
10
01
01
11
00
10
10
11
01
11
10
00
00
00
10
10
01
01
11
01
00
11
10
00
00
10
10
01
01
11
10
00
11
01
01
00
11
10
00
00
10
01
10
10
00
00
11
00
00
00
01
01
11
01
10
00
00
00
00
11
11
01
10
10
11
00
00
00
10
11
10
00
01
11
00
00
01
10
10
10
00
01
10
11
00
00
01
01
10
00
10
10
10
10
01
10
10
10
10
10
00
01
00
11
10
00
00
00
10
10
00
01
00
10
10
10
01
10
10
00
00
01
10
11
10
10
11
01
00
10
00
10
10
00
11
00
00
00
11
11
10
10
00
00
10
01
10
10
00
00
00
10
00
11
00
10
10
01
10
10
10
01
10
00
00
10
11
10
10
11
00
00
01
10
01
10
00
00
10
00
10
10
00
10
00
00
11
10
11
00
01
01
00
11
00
01
10
00
00
11
11
00
00
11
00
00
10
11
01
01
10
01
10
01
01
00
01
10
01
00
01
11
11
00
00
00
10
01
11
11
00
10
01
10
01
01
10
10
01
00
00
00
10
10
00
00
11
01
00
11
01
00
01
01
01
10
01
10
10
10
01
00
00
11
10
11
11
00
10
10
10
00
00
10
00
10
11
10
01
00
11
10
11
10
11
00
00
11
10
00
00
11
10
00
10
10
10
00
00
00
00
00
01
11
00
10
10
01
01
01
11
11
00
10
00
00
10
10
01
00
10
10
00
01
10
00
00
11
01
00
11
00
10
00
00
11
10
00
01
00
00
00
00
11
11
01
11
00
01
11
10
11
10
10
00
10
00
00
10
01
10
10
11
11
11
01
10
10
10
10
11
10
00
00
00
01
00
11
10
10
00
00
10
01
00
11
10
00
10
00
10
10
10
00
01
10
10
10
10
11
10
11
00
10
10
10
01
01
10
10
10
00
11
10
10
01
01
10
11
11
00
10
10
00
11
10
10
00
10
01
00
01
10
10
00
00
10
10
00
00
00
10
00
01
10
00
10
00
10
00
00
11
11
00
00
11
00
11
00
01
01
10
01
00
10
11
11
00
11
10
00
00
00
10
00
00
10
11
10
00
10
11
11
10
11
00
10
01
10
00
10
00
00
11
00
10
00
00
00
11
10
00
00
00
01
01
10
10
10
11
00
11
01
10
11
10
00
00
00
00
10
10
01
10
00
10
01
11
00
00
00
10
00
10
10
10
00
01
00
00
10
10
10
10
00
01
10
10
01
01
01
00
10
00
11
00
00
11
10
11
00
11
01
01
00
10
00
00
00
01
11
01
00
10
01
01
11
10
00
11
10
10
11
01
11
11
10
01
00
10
11
10
00
00
00
00
10
10
00
10
10
11
10
01
11
10
00
10
10
00
00
10
00
00
00
10
10
10
10
10
00
11
11
11
00
00
11
10
11
00
01
11
11
00
00
00
10
00
00
01
10
10
01
01
11
11
00
11
10
10
01
10
01
00
11
10
00
10
11
00
00
10
00
00
10
00
10
11
00
00
10
10
11
10
11
01
10
01
01
10
10
01
10
11
01
00
00
11
11
10
11
10
01
01
00
01
10
10
01
10
10
00
01
10
00
10
10
10
10
10
00
10
10
01
00
10
10
11
00
00
11
11
10
00
10
10
01
10
11
01
00
01
01
01
10
00
01
00
10
11
01
01
10
11
10
11
01
10
10
00
00
10
11
00
11
01
00
11
11
01
01
10
00
00
00
00
10
10
10
10
11
00
10
01
01
10
00
11
01
10
10
00
11
01
10
11
10
01
01
10
00
01
01
11
00
10
00
00
10
00
00
10
10
10
00
00
00
00
11
10
10
10
01
10
01
10
10
10
00
00
00
10
10
01
10
11
00
10
01
01
11
00
11
10
00
01
01
00
10
00
01
01
01
10
11
10
11
10
00
10
10
00
00
10
11
00
00
11
10
00
11
00
01
00
00
10
11
10
01
00
11
00
10
00
01
00
11
10
00
10
10
10
00
01
10
11
10
11
01
11
10
00
01
10
01
00
10
10
00
11
01
00
10
00
10
00
11
01
00
01
11
01
00
01
10
10
00
11
10
01
00
10
11
01
10
00
01
10
00
11
00
00
01
01
10
01
00
11
11
01
11
10
10
11
00
00
10
11
00
00
00
00
00
11
01
11
10
10
01
00
00
10
11
01
00
10
10
00
10
00
00
00
11
10
00
00
11
10
10
00
10
10
10
10
01
11
00
01
10
10
00
11
10
00
01
10
00
00
01
11
00
00
11
11
10
00
00
01
00
10
10
10
00
11
10
10
00
00
10
10
10
10
00
10
11
11
00
11
00
10
10
00
00
10
11
01
01
00
00
01
11
10
11
00
00
10
01
01
10
11
00
10
00
10
11
01
01
10
01
00
00
10
01
10
10
00
00
00
10
10
10
10
10
10
00
10
00
10
00
00
00
00
10
11
01
10
10
10
11
00
10
10
01
10
10
00
10
01
01
01
10
00
00
10
00
00
10
00
01
10
01
10
10
00
00
00
10
00
10
01
00
01
00
00
00
01
01
11
11
10
10
10
01
00
00
10
11
00
10
10
11
10
00
00
11
11
11
11
10
10
00
00
01
10
10
11
10
01
00
00
10
11
00
01
01
01
01
11
00
11
10
11
00
00
10
10
00
00
10
11
01
00
00
01
00
00
00
10
11
00
01
11
11
01
01
10
01
10
01
00
11
01
01
10
10
00
11
00
00
10
00
10
11
00
00
00
00
10
11
10
00
00
00
00
10
00
00
00
00
01
00
11
10
11
00
10
11
00
01
11
01
00
10
10
10
01
01
10
01
10
11
10
00
11
01
00
01
10
10
01
00
00
11
01
00
10
11
10
00
00
01
10
10
00
11
10
01
00
00
10
10
01
10
00
00
10
10
10
11
10
01
11
10
10
10
01
10
00
00
00
00
11
11
00
11
00
10
11
10
00
00
10
10
10
01
11
00
11
11
01
10
00
00
00
00
01
11
00
01
10
10
00
10
01
10
00
01
10
11
10
00
10
01
11
10
00
00
11
10
01
10
01
00
10
00
00
10
10
10
10
11
11
11
01
01
01
01
10
10
00
10
10
10
00
00
10
00
00
10
10
00
00
11
01
10
00
10
11
11
10
10
00
11
10
10
11
00
01
00
10
10
10
00
00
00
10
00
10
00
10
00
01
00
10
00
00
01
11
11
10
01
00
01
10
10
01
01
11
11
11
00
00
11
01
10
10
10
10
01
01
10
00
00
01
10
00
00
10
11
11
01
01
00
00
00
10
10
11
01
00
11
10
10
01
00
11
00
10
10
00
10
00
11
10
10
01
00
11
10
10
00
01
00
10
10
00
01
10
01
00
01
00
10
10
00
00
10
10
01
10
10
00
00
11
01
00
01
00
10
10
00
01
00
10
10
10
10
10
10
11
00
00
00
01
00
11
10
01
01
11
10
10
01
00
00
11
11
00
10
00
11
11
00
01
01
01
00
11
10
10
00
00
10
10
11
00
00
00
11
00
10
10
00
01
10
01
00
01
10
01
01
00
10
10
11
10
00
10
10
00
00
00
01
00
10
10
00
01
10
10
00
00
11
10
01
00
11
10
01
01
10
01
00
11
10
10
00
10
11
11
01
00
10
10
10
10
00
00
01
11
10
11
01
11
10
01
10
10
01
00
00
01
00
10
10
10
00
10
10
00
10
00
10
10
10
11
10
00
11
00
11
00
00
10
01
10
11
00
01
01
10
00
11
10
01
01
00
00
10
00
10
01
01
11
11
00
10
10
10
11
01
01
11
00
10
10
01
00
00
10
11
01
00
10
11
10
10
10
00
10
10
11
01
10
10
10
11
10
11
00
10
01
01
10
11
00
10
10
00
10
01
10
00
00
00
11
00
00
10
00
01
10
01
00
01
10
11
11
11
00
00
01
10
10
10
11
01
10
01
01
11
10
00
11
11
01
01
01
00
01
10
00
00
11
10
00
00
10
00
01
00
11
10
00
11
11
10
11
10
00
11
11
00
10
00
01
00
00
10
00
10
10
10
00
01
10
01
00
11
10
10
00
11
01
01
10
11
00
11
00
01
10
01
10
11
10
11
00
01
10
10
10
01
11
11
00
00
11
11
00
01
01
10
11
00
00
00
10
00
10
00
00
11
00
10
00
10
10
10
11
00
11
10
00
10
00
01
00
00
10
10
00
11
00
00
01
11
01
01
10
01
01
10
01
10
10
10
01
01
10
00
00
01
00
00
10
10
00
00
11
11
10
00
10
10
10
10
00
01
10
11
01
10
10
00
00
10
10
01
10
11
00
01
10
10
00
00
00
01
10
10
00
10
01
10
00
00
10
11
00
10
01
10
10
10
11
00
00
10
00
10
10
10
01
00
00
10
00
11
00
11
11
00
00
01
00
10
11
00
00
10
00
00
01
10
10
10
10
00
10
00
00
00
11
01
01
10
11
10
01
10
10
00
00
00
11
11
00
00
10
00
10
00
01
10
01
00
10
01
01
00
10
00
11
01
00
10
10
00
10
10
10
00
00
10
00
10
11
11
01
10
00
10
10
00
00
00
10
00
11
01
10
01
10
10
11
00
11
10
01
00
11
11
11
10
00
11
11
00
00
11
11
00
10
10
00
00
00
00
10
10
00
01
00
00
10
10
10
10
01
01
00
10
11
10
11
00
00
11
11
00
10
00
00
10
00
00
10
00
00
10
00
11
10
01
10
10
00
00
10
00
00
10
00
01
10
11
00
01
01
11
11
11
10
10
00
00
00
10
00
01
00
00
10
00
10
00
00
10
10
01
00
11
10
00
00
00
11
00
00
10
10
00
01
00
01
10
10
11
10
01
00
10
11
11
10
00
01
10
11
10
00
11
10
00
10
11
01
10
00
10
01
00
00
00
11
01
11
01
01
11
11
00
11
11
01
00
10
00
00
11
10
00
00
01
00
01
01
10
00
00
11
00
11
10
11
00
00
01
10
00
00
11
11
00
10
11
10
11
00
01
00
11
10
00
11
10
10
01
11
11
01
00
10
10
00
01
10
00
00
00
11
01
00
11
01
10
01
01
01
00
00
10
11
10
01
01
00
10
10
10
11
00
01
11
00
10
11
00
01
11
10
10
00
00
10
11
01
00
01
10
01
10
00
00
11
00
00
10
10
10
11
01
10
00
11
10
00
11
10
10
11
01
01
11
10
10
00
10
10
10
01
00
01
01
10
00
01
11
10
00
10
10
00
00
00
11
11
00
10
11
10
10
10
00
00
11
10
00
11
10
00
11
10
10
00
01
01
01
10
00
00
11
11
00
00
11
01
00
01
10
00
00
00
00
10
10
10
10
00
10
10
11
01
10
00
10
11
10
00
00
00
00
10
00
10
11
00
10
10
11
00
00
00
00
00
10
11
01
10
11
11
11
01
00
00
10
10
00
11
10
01
01
01
01
10
10
10
10
00
01
00
10
00
00
10
10
10
00
11
10
11
10
01
00
01
00
10
01
00
00
10
11
00
00
01
10
01
01
01
01
00
00
10
10
10
00
00
10
10
00
01
10
01
01
10
00
11
01
00
11
10
00
00
11
10
10
00
01
10
10
00
10
00
00
00
10
10
10
00
11
00
00
01
01
10
11
10
10
10
00
00
00
00
10
11
01
01
10
11
01
11
00
11
10
01
10
10
10
00
00
10
10
01
10
10
10
00
00
10
00
10
00
00
00
11
00
01
10
00
00
00
11
10
10
10
00
00
00
00
10
00
10
10
10
00
01
10
11
00
10
11
11
01
11
00
00
11
01
01
01
00
11
01
01
10
01
01
10
00
01
00
11
10
10
00
01
00
10
00
01
01
10
11
11
00
11
00
00
00
10
11
10
01
00
00
10
10
11
10
00
01
11
00
00
11
01
00
00
11
10
10
10
00
00
11
00
11
10
01
00
00
10
11
10
00
10
10
01
10
01
10
10
00
00
00
10
00
01
10
10
00
00
10
00
10
10
10
01
00
00
00
00
10
10
10
10
00
10
00
01
10
01
00
11
01
10
10
10
00
01
00
11
10
11
01
11
10
01
00
10
11
01
00
10
10
00
10
11
01
00
00
10
10
10
00
00
10
10
00
11
00
00
00
00
11
10
01
10
11
10
01
10
10
11
11
01
01
01
11
00
10
11
01
00
10
10
00
10
00
00
10
10
01
01
10
11
10
00
00
11
01
01
10
10
01
11
00
10
10
01
11
00
00
10
10
10
00
00
00
00
10
00
10
01
10
01
10
00
00
00
10
10
10
01
00
00
10
01
10
01
00
11
00
01
10
11
10
10
10
00
00
10
01
10
01
00
00
01
11
10
00
00
10
10
01
00
00
11
01
01
10
01
00
00
10
10
10
01
00
10
00
10
10
11
10
00
10
10
01
11
01
00
00
10
10
00
00
00
10
11
01
10
10
10
11
00
10
01
10
10
01
10
11
01
10
00
10
10
00
10
00
01
00
00
10
10
10
00
11
10
00
00
11
01
01
00
11
11
00
00
01
10
10
10
00
00
10
11
10
10
00
10
11
00
00
11
00
01
11
00
00
11
11
01
11
10
10
01
00
01
10
11
00
10
10
11
00
01
00
10
01
00
11
10
01
01
01
10
10
10
00
10
00
00
10
11
11
00
10
10
11
10
01
00
10
10
01
10
10
00
11
01
11
11
01
00
00
10
10
11
01
00
00
01
10
00
00
10
10
10
01
00
10
10
10
01
00
10
00
00
11
00
10
10
10
01
10
01
11
01
10
10
10
11
01
01
10
10
00
00
11
00
00
10
11
10
10
01
10
01
10
11
10
00
01
10
01
00
00
10
00
00
10
10
00
11
01
00
10
00
00
10
11
00
10
10
00
10
10
01
00
10
10
10
10
11
01
11
00
00
10
11
01
01
00
00
01
10
00
10
11
00
10
10
00
01
11
10
10
01
00
00
10
00
10
01
00
10
01
00
00
00
10
00
10
10
00
10
10
00
10
10
00
10
10
00
10
00
00
10
01
00
01
00
00
10
01
11
11
00
00
01
01
00
10
10
00
10
11
01
10
11
00
10
00
01
10
11
00
00
11
11
00
01
00
01
00
00
01
00
00
10
00
00
00
10
00
11
11
11
00
10
00
11
01
01
11
10
00
00
00
01
11
10
00
10
10
10
11
01
00
01
01
00
11
10
00
00
10
11
00
01
11
00
11
11
00
00
10
11
10
00
01
00
00
10
11
10
11
10
01
01
00
10
01
00
00
01
11
11
10
11
01
11
10
00
10
10
11
00
00
11
00
10
11
10
00
11
10
10
01
00
10
11
10
00
00
10
10
00
01
10
00
10
10
00
00
10
10
00
11
11
10
01
01
00
00
00
10
10
01
01
11
11
01
01
10
00
00
10
10
00
01
10
11
00
10
11
11
11
00
10
10
10
10
10
01
00
11
00
00
11
10
11
00
11
01
00
11
00
10
10
00
00
10
00
10
00
11
11
11
10
10
10
10
00
10
11
01
11
10
10
00
00
11
00
11
10
00
01
00
00
10
00
00
00
10
10
00
10
10
11
11
10
00
10
10
00
10
00
00
00
10
00
01
00
10
10
01
01
00
01
10
10
01
01
00
00
10
11
00
10
00
11
10
10
10
10
10
01
00
00
11
00
10
00
00
11
11
00
11
00
10
00
00
01
00
00
10
10
11
00
00
01
10
00
10
10
01
10
00
11
00
00
11
10
01
10
11
00
11
10
00
11
11
01
01
00
10
11
10
00
00
11
11
00
10
11
11
11
00
00
10
10
10
10
11
01
10
10
01
00
11
01
10
01
00
01
00
00
11
10
11
01
10
10
00
10
01
00
10
00
10
00
00
10
11
10
00
10
10
00
00
00
01
00
00
10
10
11
11
00
00
10
10
11
00
11
10
00
11
00
00
00
11
11
11
10
01
10
10
01
00
10
00
10
10
10
11
00
11
10
11
10
00
11
10
00
01
10
00
11
10
00
01
01
10
11
00
10
11
10
11
00
00
00
00
10
00
10
11
10
00
00
00
10
01
10
11
10
00
01
01
01
00
01
10
11
00
11
10
11
10
10
11
10
10
01
01
00
00
10
00
00
10
11
00
00
10
00
00
10
01
00
11
00
00
00
10
01
10
00
00
00
10
10
11
10
11
10
00
00
00
01
10
01
11
01
11
10
00
10
10
10
10
00
00
10
11
00
00
10
01
00
10
10
01
00
11
00
01
10
10
10
10
00
01
10
11
00
10
00
00
01
10
00
01
10
10
00
00
00
01
11
10
00
01
00
00
00
11
10
11
11
00
11
10
10
10
10
00
00
01
11
11
01
11
00
00
00
00
11
10
10
00
10
10
00
00
10
10
10
10
00
00
00
01
11
10
00
00
00
01
00
10
10
00
00
10
00
01
01
10
11
10
00
10
10
10
11
11
00
00
10
00
00
00
00
11
01
11
11
10
01
00
01
10
11
00
00
00
10
10
01
00
10
10
00
10
10
10
00
10
10
00
00
10
00
01
01
01
01
00
11
11
11
01
01
11
11
10
00
10
11
00
01
10
00
10
00
10
10
01
00
11
00
10
10
00
00
00
11
10
00
00
00
00
11
11
11
00
01
10
11
00
01
00
11
11
11
00
00
11
10
00
01
10
10
01
01
00
01
00
00
10
11
10
01
00
10
01
10
10
11
10
00
01
00
01
10
10
00
11
10
11
10
11
10
01
00
00
10
10
00
11
10
00
00
11
11
00
01
11
00
10
10
01
00
10
10
01
11
11
00
01
10
11
00
00
10
10
01
01
10
10
10
01
01
00
00
11
00
11
11
01
11
10
01
00
10
10
00
01
00
10
10
00
11
01
10
10
10
01
10
10
00
10
10
10
10
00
11
00
00
00
10
10
10
00
01
10
11
10
10
00
10
01
00
10
10
11
10
10
01
00
10
10
00
11
10
10
11
00
10
01
01
01
01
10
01
10
00
00
10
11
00
10
10
10
01
10
10
00
01
00
00
00
00
11
10
00
10
11
00
10
11
00
01
01
11
11
11
01
00
00
11
10
10
00
00
10
00
01
10
01
00
00
00
11
10
00
10
11
01
10
00
00
01
10
11
10
00
00
10
10
00
01
00
00
10
10
10
10
11
00
00
01
10
01
00
10
11
11
00
11
11
00
01
10
10
00
00
11
01
11
11
10
01
11
00
10
00
10
11
00
00
00
10
10
01
00
00
00
01
10
00
10
10
01
01
00
10
00
00
00
00
11
00
01
00
00
10
00
00
10
00
00
00
00
10
00
00
10
11
10
10
00
11
10
01
00
10
10
00
01
00
11
10
00
01
11
10
00
10
10
00
00
01
01
10
10
11
01
10
11
11
00
00
01
00
10
10
10
00
10
10
00
01
00
10
11
10
11
00
10
00
01
00
01
10
10
10
00
01
11
10
00
11
00
11
11
01
01
10
11
00
00
10
10
10
00
11
10
01
00
00
10
01
10
10
00
00
00
00
01
01
00
00
11
00
11
00
00
10
10
10
00
00
11
01
00
10
11
00
10
00
00
10
10
01
10
00
01
00
10
00
00
01
11
10
00
00
00
00
10
10
01
10
10
00
01
00
10
00
00
10
01
01
10
00
01
10
10
00
01
00
10
10
00
01
10
11
01
11
11
11
00
01
00
00
10
11
00
01
00
10
00
11
10
00
00
10
10
10
10
00
10
01
11
10
11
10
11
00
11
00
01
10
00
11
10
10
00
10
00
10
00
10
00
00
11
11
01
10
11
00
01
01
01
11
10
00
11
10
00
00
01
11
10
01
10
00
11
00
11
01
11
10
00
00
00
00
10
11
11
11
00
00
11
01
10
00
10
10
00
00
11
11
01
11
10
00
00
00
10
00
10
10
01
11
01
00
10
10
00
10
10
01
10
10
00
00
10
00
10
10
00
01
00
10
00
10
10
10
00
11
01
10
10
01
10
11
11
10
10
10
00
00
10
10
00
01
00
10
10
11
00
00
11
01
00
00
00
10
01
00
11
10
10
00
10
01
00
10
10
10
01
01
10
11
10
10
00
00
11
10
01
00
10
10
00
10
10
11
00
01
00
01
10
00
01
11
00
00
00
10
00
00
10
10
10
00
00
00
01
00
00
10
10
01
11
01
00
10
11
00
11
11
00
00
00
11
10
10
00
00
10
00
01
10
01
00
00
11
01
01
00
10
10
00
10
00
10
11
10
00
00
11
10
00
01
01
10
11
00
00
00
01
10
10
00
10
11
11
00
10
01
11
10
00
10
11
00
00
10
00
10
00
10
10
01
11
10
01
01
00
11
10
00
11
10
01
00
11
11
10
10
00
01
10
00
10
11
00
00
10
10
01
11
01
00
00
10
11
01
00
00
10
00
00
11
11
11
00
01
00
10
10
10
10
01
10
11
11
00
00
10
10
01
00
11
10
10
00
11
00
00
00
11
00
01
10
11
00
00
00
11
00
10
01
01
11
00
01
10
00
10
01
00
11
10
10
00
01
01
10
00
00
11
10
10
00
00
00
10
10
01
11
11
11
11
01
01
10
10
10
00
01
11
10
01
10
01
10
10
01
00
10
10
10
10
00
11
01
01
00
10
10
10
00
11
00
00
00
10
00
10
00
10
11
01
01
00
11
10
10
11
11
01
10
10
00
11
11
01
00
11
10
10
00
10
11
00
01
11
00
10
00
01
10
11
01
10
01
00
10
10
10
10
10
00
00
00
10
10
01
01
10
00
00
10
01
10
11
11
00
00
11
10
00
00
10
00
10
01
00
11
10
00
01
01
11
00
10
10
00
10
11
10
00
01
00
10
00
01
11
10
10
10
00
10
11
00
00
00
00
00
11
11
10
00
10
00
11
00
01
11
00
10
00
01
00
00
10
10
00
00
00
10
00
10
10
00
10
00
00
11
01
10
01
00
00
00
10
00
00
01
10
10
11
00
11
11
11
10
10
10
11
00
01
00
11
00
10
00
00
10
10
10
00
10
10
01
00
11
00
10
00
10
01
10
11
01
10
00
10
11
00
00
10
11
01
10
00
10
11
00
01
01
10
10
00
11
01
00
10
01
10
00
10
10
00
11
10
00
00
01
00
10
00
10
10
10
01
00
00
10
11
10
10
00
01
10
10
00
01
11
10
00
00
01
10
01
01
10
00
10
11
01
10
11
00
00
00
10
11
11
10
00
11
11
10
10
01
00
00
00
11
10
10
00
00
10
00
00
10
10
01
10
11
00
00
01
10
01
00
11
00
00
01
01
10
11
11
01
00
00
00
10
01
00
10
10
10
11
10
01
10
00
10
11
00
00
10
10
00
00
00
10
01
10
10
00
00
10
01
10
00
00
10
11
10
01
01
10
10
10
11
01
10
10
10
11
01
11
10
01
11
10
00
00
00
10
11
10
00
00
10
10
10
01
00
11
10
10
11
10
10
00
00
00
11
01
01
10
10
00
00
00
01
10
00
00
00
01
00
00
10
11
01
01
10
10
10
00
01
10
11
01
00
10
10
00
11
10
00
11
01
00
10
10
00
00
01
10
00
01
10
00
00
10
10
01
01
01
01
11
00
00
00
01
10
00
10
10
10
11
00
11
10
11
00
10
00
00
00
00
11
10
10
00
01
00
00
01
10
11
11
10
10
10
01
10
01
00
00
00
11
01
00
00
10
01
01
00
11
01
00
11
10
01
00
10
10
11
01
00
10
10
11
00
10
01
10
10
00
10
01
01
10
01
10
11
10
01
01
01
10
10
00
01
00
11
10
11
00
10
10
10
10
10
01
01
10
10
01
00
00
01
11
01
10
10
00
10
00
00
10
00
00
01
10
10
10
10
10
01
00
00
11
11
11
11
10
00
10
00
10
00
10
10
11
10
00
00
00
00
00
11
00
10
00
00
10
00
11
01
10
10
00
11
10
01
10
01
00
01
00
11
01
00
01
10
11
01
00
10
00
00
10
01
11
10
10
00
10
10
11
00
01
11
11
10
11
00
00
11
11
01
00
11
00
11
00
00
00
11
10
10
10
00
10
10
00
00
10
00
01
00
00
10
10
11
01
10
10
00
10
10
11
00
10
00
00
10
00
10
11
11
00
01
00
11
00
10
01
01
01
11
11
00
01
10
10
00
01
10
00
00
11
00
00
10
00
01
10
00
10
01
00
00
00
00
00
00
01
10
11
11
10
00
01
10
00
00
10
10
00
00
11
01
00
00
10
01
00
01
10
10
10
01
10
10
10
01
10
10
10
10
01
01
10
10
00
01
00
01
00
01
10
00
10
00
01
10
10
10
10
10
00
10
10
10
00
11
11
00
01
00
11
10
01
10
00
00
01
11
10
01
01
11
11
10
10
00
01
11
00
01
11
00
01
10
00
01
11
11
10
01
01
00
10
00
10
10
00
00
11
00
01
10
11
00
10
10
00
01
10
10
00
10
11
00
00
11
11
00
10
01
01
10
10
11
00
01
11
10
00
11
10
00
00
11
10
11
10
01
10
10
01
10
01
01
00
01
00
00
10
11
10
11
01
00
10
10
11
00
10
00
10
10
00
10
00
10
01
00
10
10
10
10
10
00
01
10
01
00
00
10
10
10
11
10
00
00
01
00
10
10
10
00
11
00
00
10
10
01
00
10
11
10
10
00
00
10
00
10
10
10
11
01
00
10
01
11
10
10
11
01
10
10
00
10
00
10
11
00
01
10
00
01
10
11
00
11
10
10
00
00
10
11
00
10
01
10
11
00
10
00
00
10
00
00
11
10
00
11
01
10
10
00
00
10
10
00
10
11
01
00
01
10
00
00
00
00
00
10
10
00
01
11
10
01
00
00
00
10
11
00
01
10
11
00
10
00
00
10
01
01
10
10
00
00
00
10
00
00
11
11
10
00
10
11
01
01
00
10
11
10
00
00
00
10
10
11
11
00
01
11
10
11
10
00
01
10
11
10
00
01
10
10
00
01
10
00
10
10
10
01
10
11
10
00
10
11
01
00
00
10
00
10
00
00
11
11
00
10
10
00
11
10
10
11
00
00
00
10
10
00
10
11
00
00
11
00
00
00
01
00
10
00
00
10
11
10
01
10
11
00
10
00
10
10
00
00
11
11
11
10
10
11
10
00
00
10
10
10
00
00
10
11
11
10
10
00
00
01
00
10
11
10
00
00
00
00
10
10
11
00
00
10
00
00
11
00
11
10
10
00
11
10
01
00
10
10
00
00
01
00
10
10
10
10
10
10
01
11
10
11
10
00
00
01
11
01
11
10
00
10
00
00
10
10
00
00
00
10
01
10
00
00
10
10
00
10
10
11
10
00
00
10
10
00
10
01
00
10
01
00
10
10
00
11
00
00
11
01
11
10
11
00
01
10
10
00
00
11
10
10
00
10
10
10
01
01
11
11
11
11
10
00
01
00
00
00
11
10
00
00
00
00
11
10
11
11
11
10
10
01
00
10
10
00
11
00
01
01
00
00
11
01
11
11
01
00
00
00
10
10
10
00
00
11
10
10
00
10
00
00
00
11
01
00
00
01
10
01
11
11
01
00
01
00
10
01
10
11
00
10
10
10
01
11
00
01
00
01
00
11
10
10
01
10
10
01
10
11
11
00
10
10
00
00
10
00
10
10
00
11
11
00
01
10
11
00
10
10
00
10
00
01
10
00
10
00
10
00
00
01
01
01
10
00
00
11
00
01
10
10
00
10
00
01
00
10
01
10
10
11
01
10
00
00
00
00
10
11
00
11
11
00
11
00
00
10
11
00
11
01
01
10
10
10
11
10
01
00
10
11
01
11
10
00
00
00
00
00
10
11
01
11
10
01
01
00
01
10
00
10
11
00
11
10
00
10
00
01
00
00
10
11
11
01
10
11
10
01
10
11
00
00
10
10
00
01
00
00
10
01
01
10
11
00
11
00
10
10
01
00
01
00
00
10
10
10
00
10
11
01
11
01
00
11
10
11
11
01
11
00
00
11
00
10
10
00
00
10
11
11
11
01
11
10
10
11
10
10
01
00
10
11
01
00
10
11
00
00
10
11
01
01
10
11
10
01
10
11
00
01
10
00
10
00
01
00
10
10
10
00
00
11
11
01
11
01
11
10
10
10
01
00
10
10
00
10
00
10
10
01
11
01
01
01
10
00
10
10
11
01
01
11
10
00
01
00
00
11
11
10
10
01
00
01
11
00
11
10
11
10
00
00
01
10
00
00
10
00
00
10
10
01
00
00
10
00
00
11
00
01
00
10
10
00
00
11
11
10
11
10
01
01
10
00
10
00
11
00
00
01
10
10
11
11
11
00
10
00
10
10
10
00
01
00
00
01
10
01
10
00
01
10
11
00
01
10
01
10
11
00
00
00
10
00
01
10
11
10
00
01
10
00
10
01
00
11
10
10
11
00
00
01
01
11
10
00
11
10
01
00
10
01
00
10
10
10
01
00
10
10
01
00
10
11
10
01
01
10
10
00
00
00
00
11
01
00
10
10
01
10
10
00
11
10
11
00
00
00
10
10
10
00
01
01
00
10
01
10
00
10
01
11
00
10
10
00
10
10
00
01
11
00
10
10
11
10
10
01
00
10
01
11
11
00
10
01
10
00
00
10
11
00
00
01
00
11
10
00
10
11
00
10
10
10
01
01
10
10
00
00
01
00
01
10
00
11
00
11
11
10
11
01
11
11
11
00
00
10
10
10
00
01
11
10
01
01
10
10
00
01
11
11
00
10
01
10
00
01
10
11
11
00
00
10
00
01
01
10
10
01
00
01
11
10
10
00
10
11
00
01
11
10
00
00
10
00
00
11
10
01
00
00
00
11
00
10
00
00
10
11
00
01
10
01
00
00
00
10
01
00
10
01
10
10
00
01
10
01
10
10
00
10
00
00
00
01
10
10
00
11
00
01
11
00
00
10
11
00
10
11
10
01
01
01
11
00
00
10
10
01
10
10
01
01
11
00
01
00
11
00
10
10
10
10
00
01
10
10
00
00
11
10
00
10
11
01
11
00
00
00
10
10
00
11
11
01
10
10
00
00
11
10
10
00
00
10
00
10
00
10
11
10
00
10
00
00
01
00
10
00
10
10
10
01
11
10
00
00
10
00
00
00
10
10
01
00
00
00
00
01
10
01
00
01
10
01
10
00
00
11
00
00
00
11
01
01
10
10
00
00
11
00
00
10
10
01
10
11
10
00
00
10
10
10
11
01
00
10
10
00
10
10
00
10
10
00
10
10
11
00
00
11
00
10
00
00
10
11
11
10
01
00
01
10
10
00
01
10
10
00
00
11
11
01
00
11
11
01
10
00
00
10
01
01
11
11
10
10
10
11
10
00
00
10
10
00
00
10
10
00
01
11
10
11
00
10
10
00
10
11
01
00
10
11
00
10
10
01
00
01
01
10
00
01
01
10
00
00
11
00
10
00
00
10
10
11
11
11
10
00
01
00
01
10
01
00
10
00
10
00
01
11
00
00
10
10
00
00
11
00
01
10
00
10
00
00
10
10
00
01
10
00
00
01
01
00
11
11
10
00
00
01
11
10
01
00
10
11
10
00
00
01
10
00
10
10
10
10
00
00
10
10
00
00
10
01
11
10
11
10
00
10
10
01
10
10
00
11
10
00
01
11
00
00
00
10
10
01
01
10
10
01
10
01
10
11
00
00
10
00
10
00
00
11
10
11
11
11
01
10
10
11
10
01
01
10
10
01
00
01
01
10
00
10
10
10
11
00
00
00
11
00
11
11
00
01
10
00
00
10
11
00
00
10
11
10
10
10
11
00
11
01
00
01
01
11
00
10
00
10
11
00
11
10
01
10
10
00
01
10
11
10
01
11
11
00
10
00
10
01
00
11
11
00
10
10
01
00
00
10
00
01
01
00
10
10
00
00
11
10
01
00
10
10
11
00
01
01
01
10
00
10
10
00
10
00
01
10
00
11
10
00
10
10
01
01
00
00
01
00
00
11
10
10
01
11
00
00
00
10
11
10
01
10
10
00
01
00
10
11
01
01
00
00
10
10
00
00
10
01
01
11
00
01
10
10
00
00
00
10
00
10
00
00
11
00
00
00
11
00
11
10
11
01
00
11
10
00
01
00
10
10
00
10
10
00
10
11
00
10
00
10
10
10
01
00
11
11
11
10
00
10
00
10
01
01
10
00
00
11
10
00
00
10
10
11
11
01
10
10
10
00
10
00
11
10
00
01
01
10
11
00
01
01
10
10
11
00
00
00
10
10
11
11
00
10
00
11
10
00
10
00
10
00
01
01
00
00
10
00
01
00
10
10
10
10
10
10
11
01
00
01
00
00
10
10
11
10
10
10
11
00
11
01
00
00
11
11
10
10
01
11
10
01
00
10
11
00
10
11
01
00
11
10
11
11
00
11
00
01
00
00
00
10
00
01
11
11
00
10
01
01
00
10
00
00
10
10
00
00
11
11
00
00
10
10
11
11
00
10
11
00
10
00
00
10
10
11
00
10
11
10
00
00
11
00
00
10
00
10
00
00
01
01
10
00
10
10
00
11
00
01
10
10
10
00
00
10
00
01
11
10
00
00
10
00
00
00
01
00
11
10
00
10
01
00
01
10
10
00
00
10
10
10
00
00
01
10
01
10
00
00
10
10
10
10
11
00
01
10
10
10
00
10
00
00
10
11
10
11
10
10
10
11
11
11
10
00
10
10
00
00
00
11
11
00
00
11
11
10
10
10
01
00
11
10
11
11
10
00
10
10
01
10
10
00
01
00
00
00
01
10
10
10
10
10
10
10
01
01
10
11
00
10
10
10
10
01
10
10
11
10
01
00
10
11
00
01
00
01
00
00
00
00
10
10
10
01
00
10
11
00
01
00
10
10
10
00
00
11
00
00
00
00
01
10
10
01
10
11
00
00
01
00
10
11
00
00
00
11
00
10
10
00
01
01
11
10
11
01
10
00
01
11
10
10
10
10
00
10
10
10
00
10
10
00
10
00
00
01
00
00
00
00
11
00
01
00
00
01
11
11
10
00
00
11
11
01
00
11
01
01
01
00
11
11
00
00
00
10
11
00
01
11
10
01
01
11
10
00
01
01
00
10
01
11
00
01
01
01
11
00
11
11
11
00
00
11
10
10
00
01
10
10
01
01
10
00
00
10
00
11
00
10
00
00
00
11
11
11
10
00
00
00
10
01
10
10
01
00
00
01
00
10
11
11
11
10
11
00
01
11
10
10
00
10
10
00
01
00
00
10
01
00
01
01
11
00
10
10
01
00
10
10
01
00
11
01
11
01
10
00
00
10
10
00
00
10
01
01
10
00
01
11
11
00
10
00
10
10
10
10
00
01
10
00
11
00
00
11
10
01
10
10
10
11
01
10
10
01
01
10
11
10
00
00
10
00
10
00
00
01
00
10
00
10
00
10
10
00
11
00
10
00
00
00
10
01
11
10
01
00
11
10
01
00
11
10
00
10
01
00
10
00
00
11
00
10
10
10
11
10
01
00
00
00
00
00
00
10
10
10
11
11
01
01
10
01
00
00
01
10
10
00
01
10
10
01
00
10
11
00
00
00
10
10
01
10
11
10
01
00
00
10
00
00
00
00
11
00
00
10
01
01
01
01
01
10
11
11
01
10
10
11
01
10
10
00
01
11
01
01
10
10
01
10
10
00
00
10
10
01
10
00
10
00
00
11
00
01
11
11
00
11
00
00
00
01
10
10
01
01
00
11
01
00
01
00
10
11
00
00
01
00
10
10
10
00
10
10
00
11
10
00
00
10
10
00
10
10
00
01
11
10
10
00
00
10
11
10
01
10
00
00
10
01
00
00
11
00
01
00
11
10
11
01
01
11
01
00
10
10
10
10
01
00
11
10
00
00
10
10
10
10
00
10
00
00
11
10
01
00
11
10
01
00
10
11
00
00
00
01
10
00
00
01
10
11
00
11
10
10
01
00
10
11
00
00
10
10
00
00
10
10
00
10
10
11
00
00
00
01
11
10
00
00
00
00
10
11
00
11
11
10
11
10
00
00
11
11
00
01
10
10
10
00
10
10
00
00
00
10
11
11
11
10
01
10
10
11
10
10
01
10
01
11
01
00
01
10
00
01
10
11
00
01
10
10
00
01
11
00
01
01
10
10
00
11
10
00
10
11
10
01
10
10
10
01
00
11
10
00
00
00
11
00
01
11
10
00
00
00
00
10
10
01
00
00
11
11
10
10
00
10
10
00
11
00
01
10
10
11
10
00
00
10
10
01
01
10
10
00
10
01
01
01
10
00
00
00
00
10
10
01
11
00
10
11
00
00
01
10
11
10
10
01
10
00
00
00
00
10
00
10
00
10
10
01
11
00
01
11
10
10
10
10
00
00
10
00
11
00
01
10
00
00
11
11
00
11
10
00
10
01
00
01
10
10
00
11
10
10
00
00
00
01
01
00
10
10
11
10
01
11
00
10
01
10
10
10
00
00
00
10
11
00
00
01
10
11
11
11
10
01
10
00
11
10
00
10
10
01
00
11
00
01
00
10
00
10
11
00
00
10
10
11
00
10
10
11
11
01
10
00
00
00
11
10
00
10
11
10
00
00
11
11
10
00
01
10
00
11
10
11
01
11
10
00
10
10
10
00
11
10
01
10
01
11
01
00
10
01
00
00
11
00
00
11
11
00
11
11
10
10
00
00
01
11
10
00
11
11
10
10
11
10
10
00
00
11
00
00
10
10
11
00
01
10
01
00
00
00
10
00
00
00
10
01
01
01
10
10
01
10
11
00
11
10
00
10
10
00
00
10
10
01
00
10
00
00
00
10
10
00
11
01
00
10
00
10
10
11
10
10
00
10
01
11
00
00
10
10
00
00
10
00
00
11
00
00
10
01
11
10
10
10
10
10
00
10
00
10
11
00
00
10
01
10
10
00
11
11
10
00
00
00
11
00
01
00
11
11
10
00
10
00
01
10
11
11
00
00
10
00
00
00
10
10
10
01
00
10
11
10
00
10
11
11
01
11
11
10
10
01
00
00
11
01
01
11
00
11
01
01
10
10
00
10
11
01
11
10
10
00
10
00
00
00
00
10
10
01
11
10
10
00
11
00
01
10
00
00
01
10
11
00
00
10
00
00
10
11
00
00
11
01
11
00
01
00
11
10
01
10
11
01
00
00
11
11
10
10
00
01
10
10
00
10
10
10
10
00
00
00
10
11
00
10
00
10
10
10
10
00
00
11
00
01
10
10
00
10
11
11
11
01
10
01
10
00
10
00
00
10
00
11
11
00
11
00
01
01
00
10
11
00
01
10
11
00
00
00
10
10
00
01
01
11
10
10
10
00
10
01
11
10
00
11
11
01
00
00
10
00
01
01
00
10
11
10
00
00
00
01
10
11
10
00
11
10
11
11
01
10
00
10
10
11
00
00
10
11
10
01
01
00
10
11
01
10
00
11
10
11
11
01
10
11
00
10
11
01
00
01
00
10
00
01
11
11
00
10
00
00
10
10
00
00
11
11
10
00
11
10
00
00
10
10
00
00
01
10
01
00
01
00
11
00
00
10
10
11
10
10
00
11
10
00
00
01
01
10
11
10
11
00
10
00
00
00
00
10
11
10
00
00
00
10
10
00
10
00
10
00
11
00
00
11
10
10
01
00
01
10
11
10
00
00
10
10
10
11
00
01
10
10
01
00
00
10
10
10
11
00
00
11
00
10
00
00
10
00
00
00
00
01
10
11
00
00
00
00
01
11
11
00
10
11
11
10
10
00
00
11
11
11
00
00
00
10
10
00
10
10
01
01
01
11
10
00
10
11
10
01
00
10
10
00
01
01
11
10
11
00
00
10
01
10
10
00
01
10
10
00
10
00
10
01
00
10
00
11
10
01
11
10
10
11
10
01
00
00
11
00
01
00
10
11
11
11
11
10
00
00
00
10
00
00
10
10
00
10
10
11
10
01
00
00
11
00
10
00
01
10
01
00
11
10
11
00
11
10
00
01
10
11
01
10
10
00
00
00
11
10
01
00
11
11
00
00
11
10
00
10
10
01
10
10
10
00
00
00
00
11
00
10
01
10
10
00
00
00
00
00
11
00
00
10
11
10
00
10
01
00
01
00
11
00
00
00
10
00
00
01
10
10
00
10
11
10
00
10
10
00
00
11
00
10
10
10
10
10
10
00
01
11
11
10
11
00
00
01
10
11
00
01
10
11
10
00
00
10
01
11
11
00
10
10
00
00
00
00
10
01
00
01
00
10
10
01
11
10
00
00
00
11
11
01
10
10
01
00
01
10
00
01
00
00
10
01
10
00
10
11
10
00
00
00
10
10
10
10
00
00
00
00
10
11
01
10
01
00
11
10
10
00
01
01
00
11
11
00
11
10
01
11
11
00
01
00
11
10
00
01
10
00
10
11
10
01
01
10
01
01
10
01
00
11
00
01
10
10
11
00
00
11
00
01
10
10
01
00
11
01
00
10
10
01
01
11
00
10
10
00
11
01
10
11
00
01
00
11
10
01
00
11
10
00
00
11
00
01
00
10
00
00
10
10
00
00
00
00
00
11
10
00
10
00
00
00
00
11
10
00
00
11
01
11
01
10
10
00
01
10
11
11
01
00
10
10
00
00
00
10
10
10
10
10
01
10
01
10
11
00
01
01
10
01
00
10
11
10
00
10
00
00
00
10
10
00
00
10
10
00
10
10
10
00
00
10
10
00
10
11
00
00
00
11
10
01
11
10
10
00
10
00
10
10
00
01
10
10
01
00
01
10
01
10
10
00
00
10
00
11
10
01
10
00
00
01
00
10
00
00
00
00
01
10
10
00
00
00
00
11
10
01
10
11
10
01
00
10
01
01
11
00
01
10
10
00
00
11
10
01
00
00
01
00
01
10
11
00
11
11
11
00
01
10
11
10
10
11
10
10
00
10
10
10
10
01
00
11
10
00
11
10
10
00
00
10
11
10
10
11
00
10
00
01
11
10
00
10
11
11
11
10
01
11
00
00
00
00
11
00
01
10
11
11
10
10
01
01
10
11
00
11
11
00
10
00
11
00
01
10
00
10
10
00
10
10
01
00
01
10
01
00
11
10
01
01
01
00
01
00
01
01
10
10
00
00
10
01
00
01
10
00
11
01
00
11
01
01
10
10
01
11
00
01
10
10
00
10
01
00
00
11
10
01
10
11
01
00
01
10
10
01
11
10
00
10
00
11
10
10
10
01
10
00
00
10
10
01
01
01
00
00
01
10
10
01
10
11
11
00
11
11
00
01
00
00
01
01
00
10
10
10
00
00
00
00
10
11
00
10
00
11
10
01
10
01
11
01
11
11
00
01
00
10
10
01
00
11
01
10
11
10
11
00
10
10
10
01
01
00
10
00
10
01
11
11
01
11
11
11
01
00
11
10
00
00
10
11
00
10
11
11
11
10
11
01
00
11
00
00
10
01
10
00
00
10
00
01
10
10
00
10
10
00
10
01
00
11
10
01
01
00
10
10
10
11
00
00
00
11
11
00
10
10
00
00
00
01
10
01
00
10
00
11
10
00
10
11
11
10
00
11
11
10
01
10
01
00
00
00
01
11
11
10
00
10
10
10
00
01
10
11
11
01
11
00
01
10
00
00
11
00
00
10
10
01
00
00
01
11
10
10
00
00
00
10
00
01
11
11
01
11
10
10
00
10
00
10
11
00
00
10
00
10
00
10
10
10
11
10
10
10
11
00
00
00
00
00
00
10
00
10
10
11
00
01
00
10
10
01
11
11
01
00
10
00
00
01
10
11
00
01
00
01
10
00
00
10
01
00
00
10
10
00
11
10
11
00
00
01
00
11
10
00
00
10
00
00
10
10
00
10
10
11
00
00
10
00
10
11
10
10
10
10
01
00
00
10
00
00
00
11
11
10
00
10
11
00
10
10
10
11
01
01
00
00
10
01
00
01
11
11
10
01
10
11
10
10
10
10
00
01
00
10
01
00
00
10
10
01
01
01
10
10
01
10
00
01
01
10
00
01
10
10
10
01
00
10
01
11
00
10
00
00
00
00
10
11
00
11
10
01
00
10
00
00
11
10
10
01
10
01
00
10
00
10
00
01
11
10
11
10
10
00
10
01
00
11
10
01
10
00
01
11
00
00
00
11
00
11
10
00
11
10
10
00
01
11
00
10
10
00
00
00
11
11
00
11
11
10
00
01
10
11
10
00
11
10
00
10
10
11
10
01
00
11
10
00
10
10
00
00
10
10
00
00
11
00
00
10
01
00
00
01
10
10
00
10
10
00
10
01
00
01
10
11
10
10
11
00
00
10
00
00
01
11
10
11
00
10
00
00
10
01
00
10
00
01
00
11
11
00
10
10
10
01
11
01
01
01
11
01
10
10
10
01
00
11
00
00
00
01
01
01
10
10
11
00
01
00
00
10
00
00
10
10
01
00
10
10
00
10
00
10
10
01
00
11
01
11
00
00
11
10
10
10
01
00
01
00
11
10
01
01
11
10
00
00
10
10
00
01
10
10
00
00
00
00
11
00
00
00
10
10
01
11
01
00
11
10
00
01
10
11
00
11
11
11
00
01
00
10
00
10
01
11
00
01
10
00
01
10
10
01
00
11
10
01
00
01
10
10
00
01
11
10
01
00
01
11
10
00
00
01
10
00
01
10
00
00
10
11
00
10
10
00
01
10
01
00
11
11
11
01
10
01
01
00
01
00
10
01
01
11
11
01
00
11
00
10
00
00
10
10
10
10
00
10
11
10
10
01
00
11
00
01
00
00
00
11
01
10
10
00
00
11
10
10
00
10
00
01
00
00
10
01
10
11
01
10
01
11
10
10
00
00
00
10
11
00
10
10
00
01
00
10
01
00
11
11
00
11
01
01
10
10
11
00
10
11
01
10
10
00
01
01
11
10
11
10
00
10
10
01
01
10
00
00
10
00
00
10
10
10
00
10
01
10
10
00
10
01
10
00
00
01
10
00
10
11
01
00
11
00
01
11
11
00
10
00
00
11
10
01
00
00
00
10
11
00
00
10
10
11
10
10
10
10
00
11
01
00
00
01
01
10
11
00
00
01
11
10
00
10
10
10
00
00
10
00
00
11
00
11
10
10
00
10
10
10
10
00
01
10
10
10
00
00
10
01
00
01
10
11
11
01
00
01
10
10
10
00
10
10
10
10
11
01
01
01
00
10
00
10
01
00
10
10
11
00
10
10
00
00
01
11
10
10
00
11
00
00
00
10
00
00
10
10
00
10
01
10
00
00
00
00
00
10
10
11
11
00
00
10
00
11
11
01
10
11
10
10
00
00
00
10
00
10
10
00
00
01
01
01
10
10
00
01
10
01
10
10
01
01
10
00
00
10
00
11
11
01
10
01
00
11
10
10
10
10
00
11
00
00
10
01
00
10
10
00
00
00
10
10
10
01
10
11
11
10
01
00
10
01
00
10
00
00
10
01
00
01
11
00
11
10
00
10
10
00
00
00
01
10
10
10
10
01
00
00
00
10
10
00
01
00
11
00
11
10
01
00
10
11
00
11
10
10
01
01
10
00
11
11
10
10
01
11
11
01
10
00
01
10
00
11
11
00
01
11
01
01
01
10
10
00
00
01
10
10
01
00
10
11
00
11
00
00
11
00
11
00
00
10
00
10
01
00
11
00
11
01
00
11
10
11
00
01
10
01
00
10
00
00
01
11
01
00
00
10
00
11
10
10
01
10
10
00
10
00
00
11
11
11
00
11
01
10
00
11
00
00
01
10
10
00
00
00
00
01
10
10
10
10
11
00
10
10
00
01
00
00
01
00
00
10
11
10
11
00
10
00
01
10
01
00
10
10
11
00
01
00
11
10
00
01
10
11
01
00
11
00
11
10
11
01
01
11
11
11
00
10
10
01
01
00
11
10
00
10
10
00
00
00
11
10
10
11
10
00
01
10
11
10
00
01
10
01
01
10
10
11
00
00
01
01
00
10
01
10
00
00
11
10
11
00
00
00
10
01
10
10
00
01
10
00
10
10
11
10
00
00
10
01
00
01
10
11
00
10
10
00
00
11
10
01
10
10
00
00
10
00
10
00
11
10
10
00
00
00
00
10
10
00
01
10
00
10
00
01
01
00
00
00
01
11
00
11
10
10
01
10
10
01
10
00
01
00
10
10
10
00
00
11
01
11
11
00
01
10
10
10
00
01
01
10
11
00
11
10
00
01
00
01
11
00
00
00
10
10
01
00
10
10
00
10
00
00
10
00
00
00
00
00
10
10
10
00
00
10
10
01
11
10
10
10
01
10
11
01
11
00
10
10
11
10
00
00
00
00
11
11
00
11
11
10
11
11
00
10
11
00
01
10
11
11
00
00
10
11
00
01
00
10
00
10
01
10
00
01
10
10
00
10
10
01
00
10
10
10
00
01
11
11
10
01
00
10
10
00
00
11
10
00
00
00
11
01
01
10
11
00
00
10
11
10
00
00
10
10
11
11
00
11
10
11
01
00
01
11
10
10
11
10
10
11
00
01
00
10
11
11
01
00
10
10
00
11
01
11
11
11
00
10
10
00
10
10
01
00
10
00
00
11
10
00
10
10
11
10
00
00
01
10
10
00
01
11
00
00
11
00
10
01
00
11
01
11
10
11
10
01
00
11
11
01
10
10
00
10
10
10
01
00
10
10
11
00
11
00
00
00
10
01
10
11
01
00
10
01
00
00
00
11
10
00
11
10
00
00
01
00
11
11
11
10
01
00
01
10
11
10
00
00
10
10
00
10
10
00
01
01
00
10
10
10
01
00
01
00
11
10
01
11
10
11
00
01
10
00
10
01
00
11
10
11
00
11
00
01
00
11
00
11
10
00
00
10
11
00
10
11
10
01
10
00
00
11
00
00
00
10
11
01
00
10
01
00
00
11
10
00
01
11
10
00
00
10
01
01
00
00
00
01
00
10
10
11
10
00
01
10
00
10
00
11
10
10
00
01
00
00
00
10
00
00
01
00
00
01
00
11
10
10
10
11
10
10
00
01
00
00
00
10
00
10
10
00
01
10
00
11
10
10
00
10
10
11
11
10
00
00
01
00
01
11
11
01
10
11
10
00
00
10
00
00
10
11
01
01
10
01
00
10
10
00
00
11
10
00
00
10
10
00
11
00
10
01
10
01
00
10
10
11
00
10
10
10
00
10
11
11
01
11
11
00
10
01
11
01
00
10
10
10
00
00
00
10
11
10
10
11
10
10
11
01
11
11
01
01
11
10
10
01
01
10
00
11
11
10
00
01
01
00
00
10
01
11
10
00
00
00
00
00
10
11
10
10
10
10
00
00
01
00
11
00
01
10
11
10
01
00
10
10
01
10
00
10
10
00
10
00
01
00
01
11
10
01
01
10
00
00
10
01
00
10
00
00
10
10
10
11
01
10
10
10
01
00
11
11
11
10
10
00
01
00
01
11
11
01
01
10
00
01
10
11
10
00
00
00
00
00
01
10
01
10
00
01
01
11
11
00
00
00
11
00
00
10
11
01
11
10
00
11
10
10
11
01
10
10
01
10
01
10
11
01
00
00
10
10
01
10
11
00
00
11
10
10
10
01
01
10
10
10
01
00
10
10
01
00
10
00
10
10
00
10
10
11
10
01
01
10
10
11
01
00
10
10
00
00
01
00
10
11
10
00
10
01
11
11
11
10
00
00
01
11
10
00
00
00
10
10
00
01
00
11
00
11
01
00
11
10
11
00
10
10
10
01
01
01
10
10
10
00
00
00
00
11
10
11
00
10
00
11
10
01
11
10
00
00
11
11
11
10
01
01
01
01
11
11
01
10
00
11
11
00
00
01
11
10
01
10
10
11
00
00
10
00
10
10
10
00
00
00
00
00
11
10
00
10
11
10
00
10
10
11
00
10
00
10
01
10
10
00
00
01
00
00
00
10
11
00
00
10
10
00
00
10
10
00
01
00
10
11
01
00
10
10
00
10
11
00
10
10
00
10
10
10
00
01
01
00
10
00
00
10
10
00
10
11
10
00
00
01
00
00
10
00
00
00
00
11
11
10
00
11
11
10
01
00
10
10
10
10
10
01
00
10
11
10
10
10
11
10
00
01
11
00
00
10
10
10
10
10
01
01
01
11
00
01
11
11
00
10
10
00
00
11
00
10
10
00
10
00
00
10
01
01
01
00
00
00
01
00
00
10
11
10
10
00
11
10
00
10
00
11
01
00
00
10
00
10
11
00
01
10
00
00
10
10
00
10
10
00
00
00
00
00
00
00
11
10
01
10
00
10
10
11
00
00
10
10
10
00
10
00
01
10
00
00
10
11
11
01
01
10
10
11
00
10
01
00
11
11
10
00
00
01
00
00
00
00
11
10
10
10
00
00
11
01
10
10
00
10
11
00
00
11
00
00
00
10
10
01
00
10
00
10
10
01
10
00
10
10
11
10
10
00
01
01
00
10
01
00
10
11
10
01
00
11
01
00
10
00
00
00
01
10
10
01
00
10
10
10
10
00
11
11
11
00
11
00
10
10
00
10
01
00
10
01
11
10
10
10
01
10
01
01
00
00
10
00
10
10
10
01
10
11
01
00
00
10
00
10
10
00
01
00
11
11
10
01
10
01
01
10
11
11
10
11
10
00
00
01
10
10
00
00
10
11
00
10
00
00
01
11
11
10
11
01
11
01
00
00
01
10
10
01
00
10
11
00
11
00
01
10
10
10
10
01
00
00
10
00
00
01
00
01
00
10
11
00
11
01
00
10
00
11
11
00
00
10
10
11
10
00
00
00
00
11
11
10
00
10
00
11
11
00
01
10
10
10
01
01
10
10
00
00
10
00
01
00
11
01
11
01
00
00
01
10
11
10
00
01
11
10
00
01
10
01
00
11
11
01
00
00
00
11
11
00
00
10
00
00
00
10
10
11
00
00
00
10
00
10
10
00
00
10
01
01
00
10
10
10
00
10
10
00
00
11
00
00
10
11
00
11
00
11
10
00
10
11
10
00
00
11
10
11
00
01
00
00
00
00
10
10
01
00
10
11
10
00
10
10
00
10
01
00
11
00
11
10
01
00
01
01
11
00
10
00
00
00
00
10
11
10
00
10
01
00
00
10
00
01
00
01
10
11
00
00
00
01
00
10
01
00
00
00
00
10
10
00
00
01
11
10
11
00
00
00
00
00
01
10
10
11
11
00
00
11
00
10
00
00
10
10
01
10
11
11
00
00
11
11
10
11
00
01
11
10
10
01
01
10
10
01
00
00
01
10
11
10
00
00
00
10
01
01
10
00
00
10
00
10
00
10
01
00
10
00
00
11
00
10
10
10
10
11
11
00
11
11
01
10
10
10
10
10
01
00
00
11
10
01
10
01
11
10
01
00
10
00
10
10
00
00
10
00
00
10
01
11
00
00
10
00
10
10
00
00
01
10
10
01
00
10
10
00
11
00
11
00
10
00
11
11
10
10
01
00
00
00
00
11
01
10
01
10
11
00
11
00
00
00
10
00
00
10
10
10
00
11
10
00
10
00
00
10
11
10
11
00
11
01
01
10
10
10
00
10
00
00
11
00
01
10
00
10
00
00
10
00
00
11
00
10
10
10
10
10
10
11
10
10
11
01
01
01
11
00
00
00
11
01
00
10
10
00
01
10
00
01
10
11
00
01
10
11
01
01
11
10
01
11
01
01
10
10
10
11
01
00
10
01
11
00
11
10
01
00
00
01
10
01
00
00
11
01
00
11
10
00
10
00
10
10
10
00
01
11
10
10
00
10
10
11
10
11
00
11
00
00
10
01
10
11
00
10
10
11
11
00
10
10
10
00
10
00
00
10
10
10
11
10
00
01
01
11
10
11
00
00
10
00
10
11
10
00
00
11
01
00
11
00
10
01
10
10
10
10
00
11
00
00
00
01
10
10
00
10
11
10
00
10
01
10
11
10
11
00
00
11
10
10
00
10
10
01
01
10
10
10
00
00
11
10
00
00
10
01
11
10
00
00
00
10
01
00
00
10
10
01
10
00
00
10
11
10
00
10
10
10
11
10
01
10
01
10
10
01
00
01
10
11
10
01
10
01
00
10
10
00
10
10
11
00
10
01
10
01
00
10
11
10
11
00
01
11
11
10
10
01
01
01
10
01
10
00
00
00
11
11
10
00
01
11
00
00
11
11
11
00
00
00
10
11
10
00
00
10
10
11
11
00
00
10
01
00
00
10
01
00
10
10
11
10
00
01
10
00
00
11
10
00
10
11
01
10
10
00
10
00
00
00
10
00
01
01
10
00
11
10
00
10
00
10
10
10
00
01
11
10
10
01
11
10
11
00
00
00
01
10
10
01
11
00
00
10
10
11
10
10
01
00
10
00
00
10
01
11
00
01
00
10
10
11
11
01
00
10
10
11
10
01
00
01
10
10
00
10
10
11
10
00
01
10
11
10
10
11
10
10
01
00
11
10
00
00
00
10
10
10
01
11
10
00
10
10
10
10
00
10
11
01
00
00
01
01
01
00
10
11
00
00
10
11
00
00
10
01
01
11
01
10
10
11
00
00
10
11
10
10
00
11
11
00
10
10
00
11
11
00
01
00
11
01
01
10
10
10
01
00
10
10
00
10
10
11
10
00
10
10
11
01
01
00
00
00
11
01
00
11
00
00
10
10
10
00
10
10
00
10
00
00
00
10
00
01
10
10
00
00
00
00
10
10
00
11
00
00
01
01
10
10
11
10
00
01
00
11
00
00
11
11
01
00
01
10
11
01
01
11
00
11
00
11
10
10
00
01
11
11
00
01
10
11
00
10
00
00
10
11
10
10
10
00
10
10
11
01
01
01
10
10
10
10
00
00
11
11
01
00
11
00
00
00
11
11
10
11
01
00
00
00
10
11
11
01
11
10
10
10
10
01
10
11
00
00
00
10
10
00
11
10
11
00
01
10
00
10
10
10
11
01
00
11
01
01
11
10
10
00
00
11
10
11
00
11
10
00
00
10
11
01
10
10
00
01
10
01
01
10
10
10
01
11
00
00
10
10
00
00
10
10
10
01
00
01
11
11
00
00
11
10
10
01
01
10
11
00
10
00
00
11
10
10
00
01
00
10
10
00
10
10
01
00
00
10
10
00
00
10
10
00
11
10
00
11
10
01
10
00
10
11
00
10
00
00
10
00
00
10
10
11
00
10
01
10
10
10
00
00
10
10
10
01
01
10
00
00
00
11
11
00
10
00
10
10
10
10
11
11
11
00
00
10
01
10
11
00
00
10
00
11
10
11
00
01
00
11
10
10
00
01
00
10
10
11
01
01
10
00
10
00
01
00
01
10
10
00
10
11
00
10
10
00
01
00
00
10
00
00
00
10
00
01
01
00
01
10
10
01
10
10
01
00
10
00
10
10
10
11
00
01
01
11
01
10
00
10
00
10
00
00
10
11
00
10
00
10
11
01
01
01
11
10
01
11
11
10
00
00
00
10
10
10
00
00
10
10
00
01
01
10
01
00
00
11
10
00
10
10
00
01
10
10
00
11
10
01
10
10
10
00
01
10
10
00
01
11
00
00
11
00
10
10
00
10
10
01
00
00
10
00
00
00
01
01
00
11
10
10
10
00
01
11
10
00
00
01
01
11
10
10
00
11
01
10
00
10
10
01
10
11
01
10
10
00
10
01
11
11
01
11
11
10
11
00
11
10
00
01
00
10
11
10
10
10
00
00
10
10
00
00
10
10
00
10
00
10
00
01
00
11
10
11
10
00
10
10
00
01
10
11
00
00
00
01
00
10
10
11
00
00
10
00
01
00
10
11
10
10
10
00
11
00
10
11
10
01
10
11
00
10
10
00
11
10
01
10
10
01
11
10
11
00
10
01
10
10
00
11
11
01
10
01
00
11
11
11
01
00
10
10
00
10
11
01
01
00
11
00
01
00
11
11
10
00
00
00
10
11
01
00
11
10
11
10
10
10
00
00
11
00
01
10
00
00
00
00
11
00
00
01
10
00
00
11
10
11
01
01
01
00
10
10
11
10
00
11
11
01
11
01
01
10
10
00
00
10
01
01
11
00
11
10
10
10
00
11
00
11
11
00
10
00
01
11
10
00
00
00
00
10
11
10
11
00
01
10
00
10
00
10
11
10
10
10
01
00
00
00
11
00
10
00
01
11
10
00
00
00
10
00
10
10
01
00
10
00
10
10
10
00
11
01
01
01
00
01
10
11
00
10
00
00
10
10
00
00
01
00
00
10
00
10
00
11
00
11
10
11
00
10
10
11
11
00
00
11
10
11
01
01
10
00
01
00
11
10
00
01
11
11
10
00
01
10
10
10
00
00
01
00
11
10
00
10
11
10
11
00
00
10
11
00
00
10
10
10
01
00
11
00
01
10
10
11
11
00
00
00
11
11
10
11
01
00
11
01
10
01
10
00
00
10
11
10
00
00
10
10
11
10
00
00
10
00
00
01
00
00
10
00
10
01
11
10
10
10
00
01
01
00
11
11
00
01
10
10
11
00
01
10
00
00
10
11
01
01
00
10
11
10
00
01
00
01
01
00
10
10
01
10
11
00
10
00
10
10
01
00
10
01
10
00
00
00
00
10
00
00
10
00
00
10
10
00
11
11
00
10
00
10
10
01
00
00
11
01
10
01
01
11
11
00
00
11
10
00
01
11
01
00
11
10
11
11
11
11
00
01
00
10
10
10
01
01
11
10
10
11
00
01
11
10
00
00
10
10
10
01
01
10
10
00
00
10
10
00
10
10
01
00
00
10
10
10
10
10
01
10
00
10
10
00
10
10
00
10
00
01
00
10
01
00
00
00
00
10
10
00
11
00
00
01
01
10
01
00
11
10
10
00
00
10
10
10
10
10
00
10
10
00
00
10
11
00
00
00
10
01
00
00
10
10
00
00
11
00
10
11
01
10
10
01
10
10
01
00
00
10
00
10
01
10
10
10
10
10
00
11
00
00
11
10
10
11
00
01
11
10
00
00
11
11
11
01
10
00
00
11
00
10
11
01
00
10
10
00
00
10
10
00
11
00
10
11
10
10
00
10
00
00
00
11
11
00
10
00
10
10
00
01
10
01
10
10
10
11
11
11
01
01
10
00
00
11
00
00
00
10
10
10
00
00
10
11
11
10
10
00
11
00
00
10
01
11
00
10
11
11
01
00
11
01
01
10
10
10
00
10
01
00
10
00
00
10
00
10
00
00
01
00
10
10
11
01
00
11
10
00
11
10
01
10
00
00
00
10
10
00
00
10
01
11
01
11
10
00
01
11
00
00
10
11
10
01
10
00
00
10
00
11
11
01
10
00
10
00
10
10
11
10
00
01
10
00
01
00
10
11
00
00
00
00
10
11
00
00
10
00
01
11
11
10
10
11
11
10
00
00
10
10
00
00
01
10
00
00
01
10
01
00
10
10
01
10
10
11
11
11
00
00
11
01
01
01
01
01
00
10
10
10
10
00
00
00
11
10
01
10
00
10
01
10
00
00
10
11
10
00
11
11
01
10
00
10
11
00
01
00
10
00
11
01
10
00
00
01
10
10
00
11
10
00
00
11
00
01
10
01
00
10
11
10
00
10
00
10
01
00
00
10
01
10
10
00
10
00
11
01
11
10
00
11
00
10
11
00
00
10
11
01
10
10
00
00
10
00
10
10
01
01
01
10
11
00
00
10
00
11
11
01
10
10
10
11
00
00
10
11
00
01
00
10
11
10
10
00
00
00
10
00
11
10
00
00
11
00
00
00
10
11
00
00
10
01
00
01
10
11
01
11
00
00
01
10
00
01
10
11
00
10
00
01
10
00
00
01
11
00
11
10
10
00
00
00
00
10
10
10
00
11
10
00
01
00
11
00
00
00
11
00
00
10
11
11
10
00
01
11
10
00
10
00
01
11
00
10
10
10
10
10
11
10
00
00
00
00
11
11
01
00
00
01
00
10
01
00
11
10
00
10
01
10
10
11
10
01
01
01
10
10
00
10
00
11
00
00
10
11
10
10
10
11
01
01
01
10
00
00
10
10
01
11
00
11
10
00
00
11
11
10
11
00
00
10
11
10
01
11
00
01
00
10
01
01
10
10
10
01
11
01
10
00
00
00
01
10
01
00
01
10
00
00
10
10
10
00
10
00
10
00
00
00
00
00
00
00
00
10
00
11
11
11
00
00
10
10
00
10
00
00
10
11
10
00
00
01
01
00
10
11
10
00
00
01
01
01
10
10
11
00
10
11
00
01
10
00
10
00
10
10
10
01
00
10
10
01
10
00
10
10
00
01
10
11
00
00
10
10
10
10
11
00
00
01
01
11
10
11
01
00
00
10
10
00
10
11
00
10
11
00
10
00
10
00
10
10
11
10
00
10
01
00
11
10
11
10
01
00
10
10
00
00
11
00
01
00
11
11
01
01
01
11
10
00
00
00
01
11
11
00
00
10
10
10
10
00
00
10
01
10
11
01
10
00
10
11
00
11
10
11
01
01
10
01
01
10
00
00
10
10
11
01
11
10
10
10
11
10
10
01
00
11
11
10
10
10
01
10
10
00
10
10
10
00
00
11
00
00
11
01
01
00
01
10
11
10
11
10
00
01
10
10
00
10
10
01
10
00
10
10
01
00
10
11
00
00
01
11
01
00
10
11
00
00
10
10
11
10
01
11
00
10
11
00
00
01
10
00
00
00
00
00
10
00
11
10
10
00
10
00
10
10
00
11
01
10
10
10
01
10
00
00
00
11
11
00
01
11
10
01
01
00
11
10
00
11
10
11
01
01
10
00
01
01
00
01
10
11
10
00
10
01
00
10
01
10
01
01
10
11
00
10
10
01
00
00
11
10
11
10
10
00
10
10
00
10
11
11
11
00
10
10
00
11
10
00
00
10
11
01
00
11
10
01
11
11
10
00
00
11
00
00
10
11
11
00
00
10
11
10
11
00
01
00
01
10
00
10
11
11
11
00
00
00
00
10
10
00
00
11
00
01
10
10
00
10
01
10
10
01
10
11
10
10
10
01
00
00
10
10
11
00
01
11
01
00
00
00
01
01
11
11
00
01
00
10
11
00
01
10
00
00
01
00
00
10
10
10
00
00
11
10
10
10
10
10
00
11
00
00
00
01
10
01
10
01
00
11
10
11
01
00
00
11
00
00
00
00
01
01
00
10
10
10
11
00
00
10
10
10
11
00
10
00
01
00
11
00
00
01
11
10
00
10
00
10
10
10
10
00
10
11
00
10
11
00
10
10
11
00
11
00
10
00
00
11
10
10
00
00
00
10
11
01
00
10
10
01
01
00
00
11
00
10
00
11
10
00
00
10
10
00
10
01
10
01
00
11
00
10
00
11
01
01
01
01
00
00
00
10
01
00
00
10
11
00
00
10
10
10
10
00
01
00
11
00
10
01
01
10
01
10
01
00
11
10
10
10
01
10
10
10
10
10
01
00
11
01
11
01
00
10
00
10
10
01
00
00
11
10
10
11
10
10
11
11
00
00
00
11
00
01
00
11
00
10
01
01
01
00
10
10
01
10
00
01
11
00
11
10
00
00
10
10
10
11
10
01
00
00
00
10
11
11
10
01
10
10
01
00
11
10
11
00
00
01
10
00
00
10
11
01
11
10
00
01
00
00
10
01
00
10
00
01
10
01
01
01
11
10
01
11
00
00
10
10
00
00
10
10
10
11
00
10
00
11
10
00
01
00
10
00
10
10
11
00
10
10
00
01
00
01
10
01
01
01
00
11
01
11
11
00
10
11
00
01
10
11
10
10
01
00
10
10
00
00
00
01
10
00
00
01
01
10
10
00
00
10
01
00
01
10
01
10
10
01
10
10
00
11
10
10
11
00
10
10
10
10
10
01
00
00
10
10
00
10
01
10
10
10
10
00
10
00
01
00
11
10
01
10
10
00
01
10
00
01
10
10
00
01
10
00
00
00
00
11
10
10
10
11
00
10
10
11
01
00
00
00
01
00
10
00
10
11
01
01
10
10
00
01
11
00
11
10
11
00
00
01
11
01
00
10
01
11
11
10
00
00
10
10
00
10
11
10
01
11
00
11
01
11
10
11
11
10
01
00
00
11
00
00
10
10
10
10
01
00
11
11
00
11
11
00
10
11
11
01
10
10
00
00
10
10
00
00
01
10
01
11
11
10
00
00
00
10
00
00
01
10
00
11
10
10
01
00
11
01
11
10
00
10
10
00
00
10
10
00
01
00
10
00
00
10
10
00
01
00
10
10
00
00
00
10
11
10
10
10
00
10
10
00
00
10
11
11
10
00
00
01
11
11
10
10
10
10
10
10
00
01
00
11
10
10
00
00
10
11
10
00
11
00
01
01
00
10
00
00
11
10
00
00
00
11
00
01
11
11
00
10
10
00
10
10
11
01
10
10
00
10
10
10
11
11
10
00
00
10
00
11
10
00
10
10
00
11
10
01
00
10
11
11
10
01
11
10
00
10
01
10
10
00
10
01
00
00
10
00
00
00
00
11
10
00
10
10
10
11
11
10
10
00
11
11
00
00
10
10
01
11
01
00
11
11
00
01
10
01
10
00
00
00
10
10
01
10
11
00
10
00
01
00
10
10
00
10
00
00
10
10
01
10
11
10
11
00
00
10
10
10
01
01
10
11
00
01
01
00
00
10
00
01
10
11
00
00
10
00
00
10
10
00
10
00
00
10
00
10
10
10
00
10
10
00
00
11
00
11
10
01
00
11
10
11
11
01
10
11
01
11
11
00
01
10
00
00
01
10
10
10
10
00
10
00
10
11
11
00
00
01
00
00
11
10
00
00
00
10
11
10
10
00
00
00
00
00
00
00
10
00
00
00
10
10
10
11
10
10
01
00
10
11
10
01
00
11
00
00
00
10
01
00
10
11
11
00
11
00
10
10
00
11
10
00
00
01
10
01
10
11
10
00
11
11
10
00
00
10
10
10
01
00
01
00
10
11
10
00
01
10
10
01
00
00
10
00
01
11
01
00
11
10
01
00
10
10
10
00
10
10
00
11
10
00
01
01
11
10
11
01
10
10
01
00
10
10
10
10
01
10
00
10
00
10
01
10
00
10
10
00
10
11
00
01
01
11
11
00
10
11
00
00
00
10
10
00
10
01
00
11
00
00
10
11
11
01
10
11
00
01
10
11
10
11
00
00
10
11
00
01
00
01
00
01
00
10
01
00
01
00
00
10
10
00
00
11
11
10
00
10
11
01
11
10
00
10
00
00
11
00
00
01
11
11
01
10
10
00
00
11
10
00
00
00
11
10
01
10
10
10
10
00
00
10
10
10
00
00
10
10
01
10
00
10
10
11
10
10
00
00
10
11
00
00
10
10
11
00
11
00
00
11
11
00
00
10
11
00
10
10
01
00
11
10
11
00
10
10
10
00
00
01
10
00
01
10
00
00
00
10
00
01
11
00
01
00
01
11
00
11
10
00
00
00
10
01
01
10
10
11
00
10
10
00
00
00
01
10
10
11
00
00
00
00
10
00
00
11
11
01
01
11
00
01
00
11
10
00
00
11
00
01
01
10
11
10
10
11
00
00
10
11
00
10
00
00
10
10
00
00
10
10
11
00
10
01
00
10
01
10
10
01
00
01
10
10
00
10
11
11
01
10
00
01
10
00
10
11
01
10
10
01
10
10
10
01
10
00
00
10
10
00
11
00
00
11
10
10
00
11
11
00
00
10
00
10
10
00
00
10
10
11
01
10
00
01
10
10
10
01
00
00
11
10
10
01
01
10
10
11
10
00
01
00
10
10
00
01
00
01
10
01
00
00
01
01
11
10
10
00
01
00
10
10
00
01
01
00
01
11
10
10
10
10
00
00
10
10
01
00
10
01
11
11
10
00
00
00
10
11
11
01
00
10
10
10
11
10
00
10
10
00
01
01
10
00
00
00
00
11
01
10
10
10
10
01
00
01
10
00
10
10
10
10
01
00
10
11
10
10
10
11
00
11
00
10
00
00
10
10
00
01
00
11
01
01
10
11
01
10
01
00
10
10
00
00
01
00
11
10
10
10
00
01
00
11
10
00
00
11
10
10
00
00
10
10
00
00
00
10
10
11
00
10
01
10
10
11
11
00
11
11
01
00
01
11
10
10
10
00
00
01
10
10
00
00
01
00
00
01
11
10
00
00
10
00
00
10
10
00
00
01
01
00
10
10
11
10
01
01
10
10
00
11
10
01
00
11
10
10
00
00
00
10
10
00
11
10
01
00
00
11
10
01
00
11
10
01
10
00
10
11
01
00
11
11
00
01
10
10
01
10
11
10
11
00
10
10
11
00
00
10
10
00
10
11
01
00
00
11
10
00
00
01
01
11
01
10
10
10
00
01
10
00
00
11
11
01
00
00
11
00
01
10
10
00
00
01
10
10
00
01
00
00
00
10
01
00
10
01
00
00
10
00
11
00
00
10
10
10
00
11
11
00
10
10
01
10
10
00
00
00
01
00
10
00
00
11
10
11
11
10
01
00
00
00
01
00
11
11
10
10
01
10
01
00
10
10
10
10
00
00
10
00
01
00
01
00
00
00
10
11
00
00
10
11
10
10
00
10
00
11
10
01
11
01
00
10
00
01
00
11
10
01
10
10
01
11
11
01
01
00
00
00
00
00
10
10
00
01
00
11
11
01
00
00
10
11
00
01
10
01
01
10
00
00
00
10
10
00
00
10
10
00
10
11
10
00
10
10
00
01
10
00
00
11
10
10
01
11
00
00
11
00
11
01
11
11
00
01
00
00
10
11
01
10
10
01
10
01
00
10
10
10
11
11
00
00
10
10
00
00
01
10
00
10
10
10
00
01
10
00
11
00
00
10
10
01
10
10
10
11
00
00
11
11
00
00
00
00
11
00
00
01
11
10
01
11
01
01
11
10
00
11
10
10
10
00
01
00
00
01
11
10
00
10
11
11
01
11
00
10
10
00
00
11
11
00
10
01
10
00
00
10
01
00
00
10
00
11
01
00
10
00
00
10
10
00
11
00
00
10
00
11
11
00
00
10
11
00
00
10
10
01
10
01
01
00
11
10
00
00
10
10
11
01
01
00
01
00
10
00
10
10
00
10
10
11
00
01
00
00
11
10
10
00
00
11
00
00
00
10
10
11
10
00
00
10
01
10
11
00
00
10
00
10
10
00
01
00
10
00
00
10
00
11
11
11
01
10
10
00
11
11
01
01
10
00
11
10
00
00
11
11
00
01
10
10
10
00
00
00
10
11
11
00
01
10
01
10
11
01
11
10
00
01
10
11
00
11
10
10
01
00
01
11
10
00
00
00
01
00
11
11
10
00
10
11
10
00
00
01
11
10
00
10
01
00
11
10
00
00
11
00
10
00
00
01
10
10
10
00
00
10
01
10
11
11
00
00
10
00
00
00
11
00
00
00
00
00
01
00
11
10
00
00
10
00
01
00
00
11
00
10
11
11
00
01
11
11
10
10
00
00
00
10
11
00
10
10
10
11
10
01
11
01
00
11
00
00
00
10
10
00
00
10
00
11
00
01
11
00
10
10
00
10
10
00
00
11
01
01
11
01
00
10
10
10
10
00
00
11
01
00
00
00
10
00
10
10
10
00
00
00
00
00
00
10
10
01
01
10
11
11
11
00
10
00
00
11
00
00
10
10
10
00
10
00
11
10
00
11
10
00
10
10
10
11
11
11
00
00
01
10
01
00
10
10
00
00
11
11
00
01
10
11
10
11
00
00
10
11
00
00
11
10
10
01
10
01
00
10
00
01
00
10
00
11
10
01
10
11
10
01
01
00
01
00
10
00
11
00
10
10
10
11
01
11
10
10
00
10
00
00
00
10
10
00
10
00
10
10
11
01
00
10
11
00
00
10
10
10
00
10
00
00
10
10
01
10
11
10
00
11
01
10
11
10
00
11
10
10
11
10
00
00
10
11
01
10
10
00
01
11
11
00
00
01
01
01
10
11
00
00
10
10
00
00
10
00
01
11
11
11
01
10
01
11
10
10
10
10
00
01
11
01
11
00
00
00
10
10
10
01
00
01
00
00
10
00
10
11
10
01
10
00
10
11
00
10
10
01
11
11
00
11
10
11
01
10
10
01
00
01
10
11
00
01
01
10
10
10
11
00
00
10
00
00
00
01
11
10
00
10
00
11
10
00
00
01
10
00
10
10
00
11
10
11
00
01
11
10
00
01
10
10
01
00
10
01
10
10
01
11
01
10
00
10
01
00
10
00
00
00
10
01
11
01
01
11
01
10
10
10
01
01
11
01
01
10
01
10
01
00
10
10
00
00
00
11
10
11
11
00
10
11
11
10
10
00
00
10
00
00
00
10
11
00
00
11
00
00
11
11
00
10
10
00
10
10
00
10
01
00
10
11
00
10
10
10
00
00
00
11
10
01
00
01
11
00
00
10
10
10
11
00
01
10
10
10
10
01
10
01
00
10
11
11
10
10
00
00
11
00
00
10
01
00
10
10
01
00
01
00
11
10
11
01
00
10
11
11
00
10
10
00
00
00
00
10
11
00
11
01
10
00
00
11
10
00
11
00
10
00
00
10
00
00
10
10
01
11
01
11
10
10
01
01
10
10
01
00
01
01
01
00
00
10
01
10
10
10
10
00
11
11
10
00
00
10
11
00
01
11
01
00
00
00
00
01
10
11
00
00
10
11
10
10
01
00
10
10
10
10
00
01
10
00
01
10
00
01
01
11
10
00
01
00
00
11
01
10
00
11
01
10
10
00
00
00
00
00
10
10
11
01
01
00
01
10
11
11
00
11
10
00
10
10
00
00
10
11
11
10
00
00
00
11
10
10
00
10
10
01
01
00
11
10
10
10
10
11
10
00
00
01
11
10
11
11
10
10
00
00
10
00
00
10
11
00
11
11
01
01
00
01
00
11
10
01
10
00
01
10
10
10
01
10
00
01
00
01
00
00
10
10
00
00
10
11
11
10
11
01
00
01
11
10
01
10
10
01
01
10
10
10
01
10
11
01
10
11
00
00
10
10
00
01
10
01
00
10
10
00
10
00
10
11
10
11
00
10
00
00
00
00
10
11
10
00
01
10
11
11
00
00
00
00
11
10
11
10
11
00
10
11
00
00
01
10
10
01
00
10
01
00
11
10
00
00
10
10
10
01
00
01
10
00
11
10
10
00
10
00
11
10
00
00
11
11
00
10
11
10
01
00
00
10
00
00
01
10
10
00
00
10
01
00
00
11
00
01
11
10
00
00
10
00
00
11
01
10
01
10
01
00
10
10
00
01
11
10
11
10
00
11
01
11
10
10
00
10
01
00
01
01
01
00
00
10
10
10
11
00
01
10
10
11
11
11
00
01
10
10
10
00
10
11
01
00
01
00
00
10
11
11
11
11
01
10
00
10
10
00
00
00
11
00
00
01
11
11
01
00
10
11
01
01
11
10
00
10
11
00
10
00
10
01
00
10
10
00
10
00
00
00
01
00
00
10
00
00
11
10
01
01
10
00
10
10
10
11
11
01
01
01
10
10
11
10
01
01
00
10
10
01
01
01
10
11
01
11
10
10
10
00
00
10
00
01
10
00
00
10
00
10
10
10
01
10
10
00
10
10
10
00
00
01
11
10
10
01
10
10
11
10
00
10
11
00
00
01
10
01
00
10
10
10
00
00
01
00
01
11
11
00
00
10
00
00
11
10
00
00
10
10
11
00
01
00
11
11
00
11
11
00
01
00
10
11
01
00
00
10
00
10
10
00
10
01
00
11
00
10
10
00
00
10
00
00
11
00
10
10
10
10
10
01
00
11
10
10
11
10
10
00
10
11
00
00
00
11
11
10
11
10
00
00
10
10
00
10
10
10
00
10
10
01
10
00
11
00
00
11
11
00
10
01
01
01
00
11
10
01
00
01
11
11
00
00
10
10
00
00
10
10
00
10
00
00
10
00
10
00
11
11
01
10
11
00
10
00
00
00
10
10
01
10
00
00
11
00
10
00
00
10
00
11
10
11
01
00
01
01
00
10
10
01
00
11
00
10
10
11
10
01
01
10
10
00
01
11
01
00
01
10
11
10
10
00
00
10
10
10
00
00
00
10
10
10
00
01
00
00
10
01
01
10
10
11
10
11
00
01
11
10
11
01
00
10
01
01
01
11
10
11
00
11
10
10
00
00
10
11
10
11
00
10
11
01
10
10
00
11
10
00
11
00
10
10
01
00
10
11
00
00
00
10
00
10
11
00
10
11
11
00
11
00
00
10
00
01
00
11
10
00
00
10
00
00
11
10
10
00
10
11
00
11
11
00
10
11
10
01
01
10
00
00
10
10
01
01
11
01
10
10
01
11
11
00
00
10
10
10
11
00
01
10
00
10
00
00
11
10
00
10
11
00
00
10
11
00
11
01
01
11
11
10
10
01
00
10
10
01
00
11
11
01
00
10
11
01
10
10
11
10
10
00
00
10
10
10
00
01
10
00
00
00
00
00
11
11
11
01
11
11
00
10
11
00
01
01
10
00
00
11
00
00
11
10
11
10
00
00
01
01
10
10
10
01
11
10
10
10
10
10
01
01
00
10
10
01
10
00
10
11
10
01
10
01
10
00
00
11
10
00
11
10
00
10
10
00
11
10
00
00
10
00
00
10
01
00
11
10
01
10
10
10
01
00
10
10
10
00
11
00
01
00
10
01
11
10
00
10
00
11
01
11
00
00
10
11
00
00
10
00
01
11
00
10
00
00
10
11
01
00
11
10
00
00
01
11
00
01
10
00
00
01
10
00
11
10
00
01
10
01
00
00
10
00
11
00
10
11
11
10
00
10
10
11
00
01
10
10
01
01
00
11
10
00
00
01
00
00
01
10
00
10
00
10
11
01
00
10
11
00
00
00
10
00
11
00
00
00
10
10
01
11
11
10
01
00
10
01
01
01
11
10
00
10
10
00
11
10
10
00
00
11
00
00
11
00
00
10
10
00
10
00
00
11
11
00
00
10
00
10
10
01
10
11
10
01
01
00
00
10
10
00
01
01
00
10
10
00
10
00
00
00
00
10
00
00
10
10
00
10
11
01
00
01
10
10
10
00
00
10
00
00
00
10
00
10
01
10
11
11
11
10
00
01
11
00
01
10
10
10
11
00
00
11
01
01
10
01
10
00
01
00
10
10
01
10
11
00
10
00
00
00
00
00
10
10
01
10
10
00
00
00
11
10
00
00
10
00
00
00
11
10
01
10
01
10
10
00
00
11
10
10
00
00
11
10
00
10
11
00
00
00
00
10
00
00
00
01
11
00
00
10
10
01
00
10
00
10
00
10
00
10
00
00
00
01
00
10
00
11
10
10
01
00
01
01
00
11
00
10
01
01
10
00
11
00
00
10
01
10
11
10
10
10
10
00
10
11
01
00
11
00
10
01
11
10
01
00
11
10
10
11
00
00
10
00
00
11
10
00
00
10
11
01
11
10
10
01
10
01
00
10
10
01
00
01
10
10
10
10
01
11
00
00
01
10
10
00
00
00
00
10
00
01
11
10
10
10
00
01
10
00
01
10
10
01
11
10
00
00
11
10
11
10
00
01
00
00
10
01
00
00
00
10
11
00
11
00
10
00
01
11
10
00
01
00
10
01
00
10
00
10
10
00
01
11
00
10
10
01
00
10
10
00
11
10
00
00
00
00
11
10
00
10
10
00
11
11
10
00
11
00
00
10
00
11
10
10
00
10
11
11
01
01
00
10
10
11
00
10
11
11
11
10
00
11
10
11
00
00
11
10
01
00
01
00
10
00
01
10
10
01
00
01
10
10
11
00
00
11
11
00
10
11
10
10
10
00
00
01
11
10
00
00
01
11
10
01
00
10
00
00
10
00
00
10
00
11
10
11
01
01
11
10
01
00
00
11
11
00
10
00
01
00
11
10
00
00
00
10
00
10
10
01
01
00
01
10
00
00
10
00
10
00
00
11
10
01
10
00
11
01
10
11
10
00
00
11
10
10
01
01
10
01
01
01
10
10
00
10
10
00
10
01
00
11
00
11
10
11
01
11
00
00
10
11
00
01
11
00
11
00
10
11
01
00
10
01
10
11
11
10
01
01
11
11
10
01
10
11
10
10
00
00
10
01
11
01
01
01
01
11
10
10
01
01
10
10
00
01
10
00
01
10
10
00
10
10
00
00
10
01
00
10
10
10
00
00
00
10
11
00
10
10
00
11
11
10
01
11
00
01
01
00
00
00
11
10
10
10
00
00
10
10
01
00
00
10
00
01
00
10
11
00
10
11
10
01
00
10
01
10
00
10
10
11
00
10
01
01
11
00
01
10
10
00
10
00
00
10
00
01
10
10
11
00
11
11
10
10
01
11
00
00
00
01
00
01
01
10
10
01
10
01
00
00
00
11
10
11
00
10
11
00
00
00
10
10
01
11
11
11
00
01
01
01
10
01
00
11
11
00
01
10
00
01
10
10
10
01
01
01
11
00
01
10
00
10
00
01
11
11
01
11
10
01
00
10
11
00
00
01
00
10
10
11
10
00
00
10
11
01
00
00
01
10
11
10
11
10
01
10
01
10
10
11
00
00
10
00
00
10
11
11
11
00
11
10
00
00
10
10
00
10
11
01
11
11
00
01
10
00
00
10
10
11
01
00
10
00
00
10
01
11
00
11
00
00
10
10
11
00
11
11
00
00
10
01
01
10
10
11
11
00
00
10
11
00
10
00
10
10
01
00
01
11
10
10
01
00
01
01
10
00
11
01
00
10
11
10
00
10
00
01
00
00
00
00
00
10
10
00
00
01
01
01
00
10
10
00
01
01
11
11
00
00
00
00
00
10
10
00
10
11
00
11
00
00
10
10
11
10
11
11
00
00
10
00
00
00
10
11
00
00
01
10
00
10
00
10
10
10
10
00
10
00
01
11
10
10
00
11
00
00
10
00
00
11
00
10
11
00
10
10
11
00
00
10
10
10
00
10
00
10
10
01
00
01
10
00
11
10
01
01
11
10
11
10
01
10
11
11
00
11
10
00
00
00
00
01
01
11
00
00
10
00
10
10
10
01
00
10
00
00
10
00
00
00
01
00
10
10
00
10
00
10
01
00
11
00
00
00
10
10
01
10
00
10
01
11
01
01
11
01
00
00
01
01
00
11
10
01
01
00
11
00
01
10
11
11
01
00
11
00
00
00
10
00
10
10
00
10
11
10
00
10
00
10
10
11
10
11
00
01
00
11
01
11
01
01
10
11
00
00
10
10
10
10
00
10
00
00
00
00
11
10
10
00
11
00
00
10
10
01
00
11
11
01
00
00
10
10
11
11
00
00
11
00
10
10
00
00
10
00
11
10
00
10
10
01
00
01
11
01
10
11
00
01
11
00
01
00
00
10
10
10
01
00
00
10
11
10
11
00
00
00
01
01
10
11
00
01
00
00
10
11
11
00
00
00
11
10
00
00
00
10
11
10
00
10
10
00
11
00
01
11
01
01
01
10
00
11
00
10
00
01
10
10
10
00
00
10
01
11
11
00
10
11
00
11
00
11
11
00
10
11
10
01
01
11
00
11
10
01
00
10
10
00
11
10
00
01
10
01
10
00
00
11
01
00
00
00
11
10
00
01
10
10
11
10
01
01
01
10
00
10
00
00
01
01
00
11
10
11
10
10
00
00
01
10
10
00
01
01
11
00
10
10
00
01
11
01
00
00
11
00
10
01
00
11
10
10
10
01
10
11
00
01
10
10
10
01
00
01
00
11
00
00
11
10
00
00
10
11
10
00
00
10
10
00
00
11
00
11
00
10
00
01
10
01
01
11
10
10
01
01
11
10
01
00
00
11
10
00
11
11
10
00
10
00
10
11
10
00
10
10
10
00
00
11
11
01
10
00
00
01
10
11
00
00
00
01
11
01
01
11
00
10
00
11
11
01
11
01
00
10
01
00
10
10
10
00
00
10
01
11
10
10
00
00
00
01
00
10
00
00
01
01
01
11
00
10
11
10
00
00
11
01
10
01
00
01
00
10
01
01
11
00
01
10
00
10
11
01
00
10
10
10
00
10
00
00
10
10
01
00
00
01
11
11
10
10
10
00
00
11
00
00
11
00
10
00
00
10
01
11
11
00
00
10
11
11
10
10
01
11
01
01
10
01
00
10
10
10
00
10
00
01
00
11
11
00
00
10
01
10
00
00
11
00
10
10
00
01
00
00
10
11
00
10
10
01
10
10
10
00
11
00
11
10
00
00
10
10
01
00
11
01
10
10
00
10
10
00
00
00
01
11
10
10
10
10
00
11
00
11
10
01
11
00
01
00
11
11
00
10
10
10
00
00
01
00
00
00
01
10
01
10
10
10
11
00
00
10
10
00
01
00
00
01
10
10
10
11
10
11
00
00
10
11
00
01
00
10
10
01
00
11
10
00
10
00
10
10
10
00
00
00
00
11
10
00
10
11
00
00
10
10
10
00
01
00
00
10
11
00
01
01
10
00
11
10
10
00
01
10
10
01
11
10
10
10
01
00
00
10
11
00
00
00
10
11
00
10
00
10
10
01
10
11
01
00
00
10
10
00
11
11
00
00
11
10
10
00
11
11
10
10
00
00
00
10
01
11
00
00
10
10
10
11
00
00
10
10
00
11
11
00
00
10
00
10
10
00
00
00
10
10
00
00
10
10
10
11
01
00
00
00
11
00
10
11
00
00
00
11
10
11
00
00
10
10
00
01
00
10
01
10
11
00
10
00
10
10
11
00
00
10
10
01
00
00
10
10
01
11
11
10
10
01
00
00
10
01
00
11
10
01
00
11
10
00
00
11
00
00
10
10
10
00
01
10
01
01
10
11
00
00
10
00
10
10
00
00
10
11
10
00
11
10
00
00
01
10
10
10
10
01
01
01
00
00
10
00
00
11
10
00
10
11
00
01
01
10
10
00
00
10
01
01
00
00
10
01
01
10
11
10
11
00
10
10
01
00
10
11
00
00
00
11
10
11
01
00
01
10
00
01
00
11
10
11
10
00
00
00
01
10
10
00
00
00
11
01
00
01
01
00
10
11
11
01
00
11
00
11
10
00
10
10
10
00
11
11
10
01
00
00
10
10
00
00
11
10
01
00
10
10
11
00
00
00
10
01
00
11
01
00
01
00
10
11
01
00
01
01
10
10
10
10
00
10
10
00
00
11
10
01
10
10
01
10
00
01
00
01
11
01
10
10
11
01
10
00
10
10
01
01
00
00
10
00
11
00
10
11
00
00
10
00
00
10
00
00
10
11
00
10
10
00
11
10
10
01
00
00
01
00
00
00
10
01
10
10
01
01
00
11
01
00
00
00
00
11
01
01
10
10
00
10
00
10
10
01
11
11
10
01
11
01
00
11
01
01
00
00
10
10
01
00
00
10
10
00
00
10
10
00
10
00
11
00
00
10
10
01
00
11
10
01
00
00
10
00
01
01
00
10
10
00
01
10
11
00
10
10
00
11
00
00
10
10
01
01
01
10
10
10
01
00
10
10
00
00
00
11
00
01
01
10
00
10
10
00
11
10
00
10
11
01
00
00
11
00
00
11
01
00
10
00
01
11
10
10
00
00
11
10
11
01
01
10
10
01
10
00
10
00
01
01
00
10
10
00
01
11
00
00
00
00
11
01
11
10
00
01
01
01
01
10
11
00
01
10
00
00
10
00
00
11
10
00
00
10
01
11
01
10
00
00
00
10
11
00
00
11
10
01
00
00
11
11
10
00
01
10
10
11
01
11
10
10
10
10
11
01
01
10
11
11
01
00
10
00
00
01
10
11
00
11
11
00
11
10
10
00
10
01
00
01
10
00
01
01
00
00
10
11
11
01
00
11
01
00
10
10
00
01
00
10
10
00
01
10
11
10
00
00
00
01
01
00
11
10
00
01
01
00
00
10
10
00
00
10
00
11
10
00
00
10
10
11
00
01
10
10
10
01
10
10
00
00
11
11
00
01
00
00
00
11
10
10
01
00
11
10
10
00
10
10
10
01
00
01
00
00
11
00
10
00
10
11
01
10
00
11
10
01
00
11
00
10
10
01
00
00
11
10
01
10
10
11
01
00
11
01
00
01
00
11
00
00
10
10
01
00
11
10
11
00
00
11
10
00
01
00
11
01
10
10
11
00
10
10
10
00
00
10
00
10
00
10
00
11
00
01
10
01
10
00
11
00
10
11
10
00
01
10
00
11
00
01
11
00
00
00
11
00
00
10
11
00
10
10
00
10
10
00
11
01
01
00
00
00
00
01
00
10
11
10
10
00
00
00
10
00
00
10
11
00
00
10
01
10
01
00
10
01
10
10
11
10
00
10
11
00
00
00
01
10
11
10
00
11
10
11
00
11
10
00
10
10
00
11
00
00
10
00
00
10
11
00
00
11
10
00
11
10
00
00
10
10
10
10
10
00
00
10
11
01
11
10
01
01
11
10
00
10
00
00
11
00
00
10
00
00
10
01
01
11
01
10
10
00
00
10
11
00
10
11
01
10
11
11
00
10
11
01
10
00
00
10
10
10
00
10
10
00
00
10
10
00
00
00
10
01
00
10
00
10
10
00
11
01
10
01
01
01
10
01
00
11
11
00
10
10
01
10
11
00
10
10
01
00
11
10
00
10
10
01
00
11
10
00
10
10
00
10
10
00
11
10
00
10
00
00
00
10
10
10
00
01
10
10
00
11
00
00
10
11
01
00
10
00
11
11
00
01
11
01
01
01
11
10
00
00
01
11
10
01
00
10
00
11
00
11
00
00
00
10
11
11
00
00
10
00
11
00
11
00
11
11
11
10
10
01
00
00
11
00
00
10
00
10
10
00
00
00
00
01
10
00
00
00
10
11
10
11
10
00
00
10
00
10
10
00
11
00
00
00
00
00
10
10
01
10
00
10
01
00
01
00
11
00
00
00
00
00
11
11
01
10
10
10
10
10
00
01
11
10
00
01
00
11
10
00
10
00
00
00
11
01
00
11
00
01
11
10
10
00
00
00
01
10
01
01
11
11
00
00
10
01
10
01
01
10
11
01
01
11
10
11
01
00
11
11
00
11
10
00
00
11
11
11
10
00
01
10
01
10
11
01
01
00
11
10
10
01
00
11
10
01
00
10
00
10
10
00
10
11
00
10
00
10
10
11
00
01
10
10
00
10
00
00
10
01
01
11
00
10
10
00
11
00
10
10
00
00
11
10
00
00
00
11
10
11
10
10
00
00
00
11
01
01
11
11
10
01
11
00
01
11
10
00
11
10
00
00
01
11
11
10
00
10
11
00
01
10
10
11
10
00
00
10
00
00
11
11
01
00
10
00
00
01
00
01
11
00
00
10
00
11
10
01
11
10
00
01
11
10
00
10
01
11
10
10
10
00
01
01
01
10
11
10
00
00
10
11
00
01
11
10
00
00
10
01
10
11
01
00
00
11
00
10
00
11
10
01
10
10
00
00
10
11
01
00
11
01
00
00
01
00
10
10
00
00
11
11
10
01
00
01
11
11
00
01
10
11
10
01
10
11
01
00
00
10
00
11
10
00
01
10
00
01
11
10
10
10
01
10
01
01
10
01
01
11
11
11
00
01
10
10
00
00
11
10
01
00
00
01
10
10
00
10
10
10
01
00
01
10
11
01
00
11
00
10
10
10
10
00
00
10
00
00
10
00
00
10
01
00
11
10
11
01
10
00
01
00
10
10
01
11
10
01
00
11
11
10
10
10
00
11
10
01
01
01
00
00
10
01
10
10
00
10
01
10
11
01
01
11
10
01
11
10
00
10
10
10
01
10
10
10
00
10
01
10
00
01
10
10
10
01
10
01
00
00
11
10
01
00
00
10
10
01
10
00
01
10
10
10
00
00
00
00
01
10
10
01
11
11
11
10
01
10
10
10
11
00
00
10
10
01
00
10
01
11
01
10
11
10
10
10
10
00
00
00
10
00
11
01
10
10
11
00
00
01
00
00
01
01
10
10
00
11
00
00
10
10
10
00
10
10
00
10
10
00
00
10
00
00
10
00
00
00
00
10
00
00
10
00
01
00
10
10
10
00
00
11
11
00
11
00
11
10
00
11
01
00
10
10
00
01
00
10
10
01
01
00
10
10
11
11
00
00
10
10
00
10
11
10
11
00
10
00
00
10
00
00
10
10
10
01
00
00
00
10
00
11
10
01
00
10
00
01
10
10
10
00
01
10
10
10
10
00
01
00
00
00
11
10
10
10
10
01
01
01
11
10
10
10
00
10
00
01
10
10
10
11
10
01
11
01
10
10
10
10
10
00
00
10
10
01
01
00
10
10
01
11
00
10
11
11
01
10
00
00
00
10
10
00
10
00
00
10
11
00
00
00
01
01
10
10
00
10
01
01
11
10
11
11
00
10
11
00
00
11
01
00
00
10
10
00
01
01
10
10
10
11
10
00
00
10
10
00
11
10
01
00
10
10
00
01
00
00
10
10
00
00
10
10
00
11
01
10
00
00
01
10
00
00
10
01
11
10
01
10
00
10
11
10
10
00
00
10
00
01
00
00
11
10
10
01
10
01
01
01
11
01
00
10
01
00
00
00
01
10
10
11
10
00
11
01
10
00
00
10
10
10
10
01
10
11
01
10
10
11
00
00
00
10
00
10
10
00
01
01
10
00
11
00
00
00
00
01
01
00
10
11
00
01
10
00
00
00
00
10
10
01
11
00
00
01
11
10
00
00
10
01
11
00
00
11
10
10
11
10
01
00
10
00
00
11
10
00
10
10
00
10
10
11
10
10
00
01
01
00
00
10
10
00
00
01
00
01
10
01
11
00
00
00
10
00
00
11
01
00
10
00
00
11
10
11
00
00
01
10
01
10
10
01
00
00
10
10
01
00
11
11
00
10
00
10
10
00
11
00
10
00
00
00
10
00
11
10
10
11
10
00
10
11
00
10
00
10
01
00
11
10
01
10
00
01
00
11
11
11
10
01
01
01
01
11
00
01
10
10
00
00
00
11
00
01
10
11
10
00
10
00
10
10
01
10
01
00
01
00
10
00
10
10
01
00
00
10
11
10
10
00
10
00
01
01
11
10
10
00
01
00
00
10
10
10
10
10
10
11
00
00
10
00
10
00
00
00
10
11
11
00
11
10
10
00
00
10
10
01
00
01
10
01
00
10
00
00
11
00
00
10
11
11
10
10
01
10
10
01
00
01
01
10
10
01
10
10
00
10
00
01
10
10
10
00
10
10
00
11
01
10
00
01
00
11
00
10
00
00
00
10
01
10
00
00
00
11
10
11
00
01
00
00
11
01
01
11
10
00
01
11
10
00
00
10
10
11
10
10
00
01
00
01
11
10
00
00
11
10
10
01
10
11
00
11
00
10
10
10
10
10
01
11
11
00
10
10
01
10
11
01
01
00
10
10
01
00
10
10
00
00
00
00
10
10
10
10
10
10
00
00
10
10
00
00
10
00
10
10
00
00
11
00
01
01
01
11
10
10
10
01
10
10
11
00
11
01
11
10
00
10
00
00
00
01
10
10
01
10
01
10
10
10
00
10
00
01
01
10
00
01
00
00
00
00
10
00
11
10
01
01
00
00
00
00
00
00
10
11
11
00
01
00
11
10
01
10
01
00
00
00
10
10
10
00
10
10
10
00
10
00
00
10
11
10
10
00
01
00
00
00
00
11
11
10
10
01
01
00
00
01
10
11
00
10
00
11
11
10
10
00
00
10
11
00
01
00
10
10
10
11
10
01
00
00
00
10
00
10
00
00
01
00
01
00
11
10
11
00
01
01
10
11
00
10
10
10
00
00
00
11
10
11
10
01
00
11
11
10
11
00
01
01
01
10
10
10
00
01
10
00
10
11
00
11
00
11
11
10
11
10
10
01
01
01
11
10
00
00
00
00
00
10
11
10
00
00
00
00
01
01
11
10
00
10
01
10
10
00
01
10
01
00
11
00
00
10
10
01
00
00
11
00
00
10
10
01
01
11
11
01
01
11
00
11
10
01
01
10
10
00
10
00
10
11
00
11
10
00
10
10
11
10
11
01
00
10
10
01
00
00
11
00
01
11
11
11
00
10
10
01
11
01
11
10
00
01
01
11
00
00
10
00
10
00
10
11
00
10
00
11
11
11
01
00
00
11
10
00
11
00
01
10
00
10
10
00
00
01
10
00
11
10
10
10
00
00
10
11
10
01
01
10
00
01
00
10
10
00
10
00
01
01
00
10
11
11
01
00
11
10
10
01
01
10
01
01
11
10
00
00
00
10
10
00
00
10
10
00
00
10
10
11
10
10
00
10
10
00
00
10
00
00
01
10
10
10
11
00
10
00
00
10
00
10
01
00
11
00
01
01
10
01
00
10
11
10
01
10
00
00
10
10
10
10
10
10
10
00
10
00
00
11
11
00
00
00
00
00
10
11
10
00
00
11
10
00
11
10
01
00
01
10
00
00
00
11
10
00
01
01
00
11
11
01
10
01
01
00
10
10
00
00
11
11
11
00
01
00
00
00
00
00
00
00
10
10
10
01
00
00
10
01
01
01
10
10
01
00
00
10
00
10
10
10
00
00
10
11
10
10
10
11
00
00
00
00
00
10
00
00
00
10
01
11
00
10
10
11
10
01
10
01
00
10
11
00
00
00
00
10
00
00
10
01
11
10
01
10
11
10
10
00
00
00
11
10
01
00
10
10
11
00
10
10
10
11
11
01
01
11
10
10
00
00
11
10
00
00
01
11
10
10
11
00
01
10
01
10
01
01
10
00
00
00
10
11
10
00
00
11
10
11
10
01
10
11
10
01
11
11
00
01
10
00
00
10
00
00
00
10
10
10
00
01
01
10
11
00
11
10
00
01
00
01
11
01
01
10
01
11
11
10
10
00
00
10
10
01
11
01
00
00
10
00
00
10
10
10
10
01
00
01
01
10
01
11
10
11
01
10
00
10
10
11
11
00
01
00
10
11
01
01
10
00
00
00
00
10
00
00
11
01
10
10
00
00
10
01
00
10
10
10
10
00
10
00
10
10
10
10
00
00
01
00
01
00
10
00
01
10
11
01
00
10
10
00
01
10
10
00
10
00
01
10
10
10
10
00
00
10
10
01
10
10
11
00
00
00
00
10
01
00
00
10
10
10
11
00
11
00
00
00
11
00
11
00
01
01
00
01
10
11
00
11
11
10
10
00
01
11
11
01
11
01
11
00
10
10
00
00
00
00
10
10
10
11
11
10
11
00
11
11
00
00
10
10
01
01
10
10
10
10
01
01
00
01
11
10
01
01
10
11
10
01
10
10
01
11
10
10
00
01
10
11
11
00
01
00
11
11
00
00
00
01
10
10
01
00
10
00
10
10
10
10
01
10
11
10
10
10
00
10
00
01
10
10
10
10
11
01
00
10
00
00
10
00
10
00
00
10
00
11
10
01
00
11
01
11
10
10
00
01
00
10
10
00
10
11
11
10
10
10
10
10
11
11
01
01
11
10
01
10
11
10
00
00
00
00
10
00
11
11
00
10
00
10
01
10
10
00
10
10
00
10
01
00
10
11
10
11
10
10
01
00
00
10
10
00
00
10
10
11
00
11
00
00
10
00
01
10
11
00
01
11
10
00
00
11
00
01
10
10
10
01
01
00
00
10
00
11
00
00
00
11
10
01
10
10
00
00
10
00
00
10
00
10
11
10
01
10
11
00
00
00
10
00
01
10
01
10
01
00
00
10
00
00
11
00
00
00
10
00
11
10
11
00
00
11
00
11
10
01
10
01
01
00
00
11
10
00
00
11
10
10
01
11
00
00
00
00
10
10
11
10
01
00
10
01
11
10
01
00
10
11
00
01
01
01
11
00
00
11
00
01
00
10
10
11
11
10
10
00
00
00
00
10
10
00
00
00
10
00
10
01
00
10
10
11
10
00
00
01
10
10
10
01
00
10
10
10
10
10
10
10
00
00
01
11
00
00
10
00
11
10
10
00
10
11
00
01
11
10
00
00
10
01
11
10
00
00
00
11
00
00
10
00
11
00
00
10
10
11
00
00
10
10
10
10
00
00
00
01
00
10
11
11
00
11
10
01
00
10
00
10
01
10
11
00
11
11
01
10
00
10
01
10
10
00
00
00
01
10
11
00
01
10
01
10
00
10
10
01
00
10
00
00
10
00
00
00
10
11
00
00
00
11
10
10
01
10
10
01
01
10
10
01
11
10
00
11
10
01
11
00
10
00
10
10
11
10
00
01
00
11
00
10
11
00
00
11
10
00
10
10
00
10
10
10
01
10
00
11
00
00
00
00
00
11
10
00
00
10
10
01
00
00
11
10
00
11
10
01
11
00
10
10
01
00
00
11
01
01
01
00
10
00
00
10
01
10
10
10
01
10
10
01
10
11
00
00
00
10
10
11
10
10
00
00
10
01
10
01
10
11
00
01
10
11
01
11
11
10
10
00
10
00
00
10
11
01
01
10
10
10
10
00
10
00
01
00
10
10
00
00
11
11
11
00
00
10
10
00
10
00
00
00
00
00
01
10
10
10
11
00
11
11
01
10
00
10
00
11
10
00
01
10
01
11
11
00
00
10
00
01
10
10
00
01
11
11
00
11
00
00
11
11
11
10
10
00
10
10
01
10
00
10
11
10
00
00
11
10
01
11
10
00
10
00
01
00
11
00
11
10
11
01
01
10
10
00
01
10
11
10
01
10
11
00
11
11
00
00
00
10
00
10
10
10
10
10
00
01
10
10
11
10
11
10
01
00
00
00
11
10
01
11
00
10
11
11
10
00
01
01
00
10
11
00
10
10
00
00
00
01
11
01
00
00
00
11
10
01
01
11
10
00
11
00
11
10
01
10
00
11
11
10
00
10
10
11
01
00
10
00
10
00
11
11
00
11
10
01
00
00
10
01
10
11
10
01
10
00
00
01
00
10
10
11
11
00
11
00
01
01
10
00
10
01
11
01
00
10
11
01
10
11
01
00
01
10
00
00
11
10
00
10
10
11
00
10
11
00
00
11
01
01
10
10
11
00
10
01
01
11
00
11
01
00
00
11
10
10
10
00
01
00
00
11
00
11
00
10
11
00
01
00
01
10
10
00
10
01
00
10
10
01
01
10
00
00
00
10
10
10
11
10
01
00
10
10
11
11
11
11
01
10
00
10
10
00
00
10
11
10
00
10
00
10
01
00
00
11
01
01
11
10
00
00
10
10
11
10
00
01
11
00
00
10
10
00
11
11
00
00
11
10
00
00
10
00
00
00
00
11
01
01
11
00
00
11
01
01
00
00
11
10
10
10
00
00
10
10
01
00
11
00
10
11
00
10
11
00
00
00
00
10
10
00
00
00
10
11
11
01
00
10
11
10
00
00
10
11
10
10
11
10
11
00
11
00
10
00
01
00
01
00
11
00
01
11
10
01
00
00
10
11
11
01
00
10
10
00
10
01
10
11
11
11
10
01
10
10
00
10
00
00
01
10
10
10
01
00
10
01
10
10
10
01
11
01
00
10
10
10
01
10
11
00
00
10
00
00
00
01
10
10
11
01
01
01
11
00
10
11
00
00
10
11
00
11
11
10
10
11
00
00
01
11
11
00
00
01
10
01
10
10
00
00
00
10
10
01
00
01
01
11
10
11
11
01
11
10
11
10
10
00
11
10
00
10
01
00
10
10
00
10
00
11
10
10
00
00
10
01
10
10
11
11
10
01
10
11
10
10
00
01
10
01
10
01
10
11
10
00
00
10
10
01
10
10
11
11
01
00
11
10
00
00
11
00
01
11
11
11
00
11
10
11
00
01
10
11
00
01
01
10
01
10
10
11
10
00
11
10
11
10
11
11
11
00
10
00
01
00
10
01
00
11
00
11
00
00
10
11
10
01
10
11
00
10
10
01
00
00
01
11
10
10
00
00
10
10
00
01
00
00
00
00
00
10
10
10
00
10
10
10
00
00
10
10
01
11
11
00
00
00
11
01
11
10
01
01
10
00
10
10
00
10
11
00
00
10
11
00
00
10
11
11
00
00
11
00
00
00
00
10
10
01
10
00
10
10
00
11
10
00
11
10
10
00
10
11
10
00
01
00
11
00
01
11
00
00
11
01
01
10
01
10
10
10
11
00
01
10
10
10
10
10
10
10
10
01
11
01
00
01
10
11
00
10
10
10
10
00
00
00
11
00
10
00
00
10
00
01
10
01
00
01
01
01
00
00
11
10
10
00
00
11
10
11
00
01
10
10
00
00
00
10
10
00
10
10
01
00
10
00
00
00
11
11
01
00
11
01
01
10
10
01
00
10
00
11
11
01
10
00
01
10
01
00
10
10
01
11
10
10
01
01
00
01
00
01
10
00
00
10
11
00
11
11
01
10
10
10
00
00
11
00
00
11
11
01
01
10
10
10
10
00
10
10
01
10
11
00
00
01
10
10
11
10
00
00
10
10
01
00
10
10
00
00
01
01
01
10
11
00
00
01
10
10
00
11
10
11
00
10
00
00
11
01
11
10
00
00
10
00
10
00
00
10
00
10
10
10
10
01
00
10
00
10
10
01
00
01
00
01
01
11
11
00
01
10
01
01
10
11
01
01
10
11
01
00
00
11
10
00
10
10
01
01
00
01
10
11
11
10
00
00
00
10
00
01
11
00
11
00
10
10
00
01
00
10
10
11
10
11
00
00
00
11
10
01
10
10
10
01
11
10
10
01
11
00
11
11
00
10
10
00
00
00
10
11
00
01
01
11
11
00
00
00
01
11
11
01
00
01
10
00
11
10
00
11
00
00
01
10
01
10
10
00
00
11
01
10
10
00
11
10
10
00
01
10
11
00
10
00
10
01
11
11
11
10
11
00
01
00
00
10
11
00
00
01
10
00
01
10
11
10
11
00
00
11
00
10
10
10
01
01
11
00
01
10
10
00
11
10
00
01
10
11
10
00
00
10
10
00
00
01
10
10
11
01
01
10
10
11
10
11
10
10
00
01
11
10
00
00
00
01
00
10
01
10
01
10
00
10
00
00
10
00
00
00
00
01
00
11
11
00
10
11
01
10
10
00
10
00
11
10
00
10
10
11
01
01
00
10
10
01
00
10
10
00
01
01
00
10
10
10
00
10
00
01
00
10
10
01
11
01
01
11
01
10
11
00
10
10
10
00
00
00
11
00
00
10
01
00
11
01
01
11
00
10
10
00
00
10
00
10
10
01
10
10
10
00
01
10
10
11
00
00
01
01
10
11
00
00
10
11
00
10
10
00
00
00
10
10
10
00
00
00
00
10
10
10
10
00
00
10
01
00
10
10
11
10
00
01
10
10
00
00
10
10
00
00
00
10
10
11
00
11
10
00
00
11
01
01
11
10
00
01
10
00
10
10
01
11
00
10
10
10
01
10
10
00
01
00
00
11
00
00
01
00
11
10
11
01
00
10
10
01
00
00
10
10
00
10
10
00
01
10
00
10
10
00
10
00
00
10
01
00
10
11
01
11
01
11
11
10
01
01
00
10
10
00
01
00
10
10
11
00
10
10
00
01
11
00
11
10
00
00
10
00
10
11
00
00
11
00
00
00
10
11
01
11
00
00
00
10
10
01
00
10
00
10
10
00
10
10
10
11
01
00
11
00
01
10
00
11
00
00
01
00
01
11
10
01
10
10
10
10
11
10
01
00
00
11
00
10
01
01
10
11
00
01
10
01
10
10
10
00
00
10
10
10
00
01
10
10
00
00
00
00
01
11
10
00
00
10
10
00
00
01
01
11
00
10
01
10
10
01
10
10
10
00
10
10
00
10
10
11
00
01
00
00
00
11
10
00
00
00
01
10
11
11
00
10
10
11
00
00
11
10
11
10
00
00
10
00
00
00
00
10
10
01
01
01
00
11
00
00
00
10
10
11
00
01
10
10
10
11
00
00
01
01
00
01
01
11
11
00
00
10
00
00
00
00
10
11
00
11
11
11
00
01
01
11
00
01
00
10
10
00
10
00
10
10
10
00
00
10
01
00
00
10
10
00
00
11
10
10
00
11
11
01
01
00
11
10
01
01
10
10
10
00
00
11
10
00
00
00
00
11
10
10
10
01
00
10
00
01
11
01
01
01
10
10
10
00
10
10
11
00
10
00
10
10
00
11
01
10
00
01
00
10
00
00
11
00
01
01
00
00
00
10
00
00
10
00
11
10
01
10
10
10
00
11
10
11
00
00
10
11
01
00
11
10
10
11
01
01
01
00
11
10
01
10
10
00
00
01
10
01
01
10
10
00
11
10
11
00
00
00
00
10
10
00
00
10
11
00
11
11
10
10
00
11
10
10
01
00
00
10
11
10
11
00
00
00
01
11
10
11
00
10
10
10
00
00
10
01
10
11
10
10
00
01
11
11
10
01
00
10
10
01
00
10
01
11
00
00
01
00
10
10
00
00
10
11
10
01
00
10
10
10
00
11
01
00
00
10
11
00
00
00
11
11
00
10
11
10
10
00
00
00
11
11
00
00
10
10
11
10
11
01
01
10
01
10
00
10
11
00
01
00
11
10
01
10
00
10
10
00
00
00
10
11
11
11
00
11
10
00
11
11
01
01
00
00
01
00
11
10
10
10
00
00
00
00
00
10
10
00
10
10
10
00
00
01
01
00
10
00
00
11
10
10
01
10
10
10
11
01
01
00
00
01
10
10
00
00
11
01
11
11
01
10
11
00
01
00
11
10
11
10
10
00
01
00
10
10
00
10
10
00
01
00
10
00
01
10
10
00
00
10
10
10
10
00
10
10
01
00
01
01
01
10
00
00
00
01
11
11
00
10
10
00
00
11
00
01
10
00
10
11
00
10
00
01
00
10
11
00
01
01
11
00
11
00
10
10
00
10
01
01
10
00
10
00
10
10
01
11
10
10
10
10
10
10
00
10
00
00
01
11
11
10
00
00
00
00
11
11
00
00
10
11
01
10
10
00
00
10
00
01
10
11
10
11
10
11
00
10
10
00
10
00
10
10
10
01
10
10
01
01
00
10
10
10
00
00
10
00
10
11
11
10
10
00
01
01
11
11
01
00
01
00
11
11
10
10
00
10
10
01
00
01
10
11
11
10
00
00
11
11
00
00
00
00
10
01
00
11
10
00
10
00
11
10
01
01
00
00
10
01
10
11
01
10
01
11
01
00
01
01
10
00
10
10
11
00
00
00
01
11
10
10
10
00
00
11
10
10
00
00
00
00
01
10
10
00
10
00
10
10
00
01
10
00
11
11
10
01
01
10
10
00
00
00
11
00
10
10
10
10
10
11
11
00
10
01
10
01
00
11
11
11
01
01
00
01
01
11
11
10
01
00
10
10
00
01
10
10
10
01
00
10
10
00
10
10
00
00
01
10
00
11
00
00
10
00
10
10
00
00
00
11
11
00
10
00
10
10
00
00
10
10
00
11
00
10
11
00
00
00
10
10
00
00
11
10
01
00
10
01
11
10
00
00
00
11
00
00
11
10
10
00
00
10
10
00
00
10
00
00
10
01
10
10
00
10
00
00
00
10
00
00
01
01
10
10
01
00
10
11
00
01
00
01
10
10
00
00
11
10
00
00
11
01
00
10
01
10
00
10
10
10
01
00
11
10
00
00
01
10
10
00
11
10
11
11
01
11
00
00
10
01
01
01
11
11
01
00
00
00
10
01
01
10
10
00
10
00
00
10
10
00
00
00
01
11
10
00
10
11
11
00
00
10
10
00
00
00
10
10
01
10
01
11
10
10
00
11
10
10
01
00
01
11
10
00
00
10
11
00
01
10
11
10
10
10
10
00
00
10
11
10
00
10
11
00
11
00
00
10
10
00
01
01
01
10
10
11
00
00
10
10
00
10
00
10
01
00
10
11
10
00
00
01
10
00
10
10
10
11
11
00
10
11
10
00
00
00
00
11
00
10
00
00
10
10
00
00
10
10
10
10
01
00
00
10
10
00
01
00
10
00
10
01
01
00
10
10
00
10
01
00
01
01
10
00
00
10
10
10
00
00
01
00
11
00
11
01
10
00
00
11
10
11
00
10
00
00
01
10
00
00
11
00
00
11
10
01
10
00
11
11
01
10
10
11
00
00
01
00
11
10
01
01
11
10
01
00
11
10
00
10
01
10
11
00
10
10
00
00
00
00
11
00
00
10
11
10
11
00
01
11
00
00
00
00
10
10
00
00
10
01
10
11
11
10
10
11
01
00
10
10
01
10
10
01
11
00
00
00
01
10
00
10
00
11
10
01
00
11
10
10
10
01
10
10
10
00
00
11
10
01
01
00
11
10
00
10
00
00
00
00
10
01
10
10
10
10
00
00
10
11
01
01
00
00
01
00
11
10
00
01
11
01
10
00
00
00
11
10
00
10
00
10
00
00
10
10
10
00
00
10
00
00
01
01
00
10
10
01
01
00
11
01
00
00
10
10
10
01
11
01
01
11
11
00
10
10
00
00
10
10
01
10
10
10
00
11
10
10
00
00
00
00
00
11
10
01
10
00
11
00
00
10
10
01
10
11
00
10
10
10
00
01
11
11
00
01
00
10
10
00
10
11
00
10
00
10
01
10
10
11
10
00
00
00
01
00
10
00
00
01
00
10
00
11
10
11
11
01
11
00
00
10
00
00
11
10
01
00
11
10
10
01
00
10
10
00
00
10
10
00
00
10
00
00
10
00
11
00
10
11
00
10
10
11
10
11
10
00
00
00
00
00
00
11
11
01
00
11
10
00
00
10
00
01
11
11
00
10
00
10
00
00
10
10
10
00
00
11
10
11
00
00
10
00
10
10
10
00
01
00
00
11
11
10
11
11
00
00
00
11
00
01
10
01
10
11
00
10
11
10
00
00
00
10
01
00
10
10
01
10
00
01
00
00
11
10
10
00
10
10
01
01
00
11
01
01
01
11
11
11
10
01
00
10
10
00
00
11
11
10
10
10
01
10
00
00
01
10
01
10
10
11
01
10
00
01
11
10
11
10
11
10
00
00
10
00
11
10
00
01
00
10
10
10
10
10
00
00
01
10
00
10
10
00
11
00
10
10
00
10
01
00
11
00
10
10
01
01
10
01
10
01
00
10
00
00
00
10
10
01
10
00
00
01
00
10
10
00
10
00
10
00
00
10
11
01
10
00
00
10
00
11
10
01
10
00
00
00
01
01
11
10
01
00
00
10
10
01
10
11
10
11
01
00
01
00
11
10
01
00
01
10
10
11
01
01
10
01
00
10
10
01
10
11
00
10
00
10
10
00
00
00
00
00
10
10
00
01
10
00
00
10
11
00
00
00
01
10
10
11
01
10
01
10
11
01
01
10
11
10
01
01
10
10
00
10
10
00
00
01
10
00
10
01
00
00
10
01
00
11
01
11
10
01
00
00
10
10
10
11
01
01
00
00
01
01
00
10
00
00
10
00
10
10
00
01
11
11
10
10
10
00
10
00
10
10
10
00
00
00
10
00
11
10
00
01
00
01
01
11
10
10
10
01
01
10
11
10
00
10
00
00
10
11
10
01
01
00
00
01
10
11
00
00
10
10
10
01
11
11
00
00
00
10
10
00
00
10
10
11
01
11
01
00
10
11
00
11
11
00
00
00
10
11
00
00
11
10
01
11
10
01
00
01
01
00
10
10
11
11
00
00
11
00
00
00
10
00
10
00
00
10
10
11
00
00
00
11
10
11
00
00
11
01
10
00
11
00
10
10
10
01
01
01
11
00
00
01
11
11
11
00
00
00
10
10
11
00
00
00
11
11
01
00
10
01
00
11
11
00
01
10
11
00
10
00
00
10
10
00
11
11
01
00
01
10
10
00
01
00
10
01
10
01
00
11
10
10
10
00
00
10
00
00
10
10
01
10
01
10
00
01
01
10
00
00
10
11
00
01
10
00
01
10
00
00
10
01
10
10
01
00
01
00
10
11
10
10
00
10
10
01
01
11
00
10
01
00
00
11
10
10
01
10
01
00
10
01
11
00
10
01
00
00
11
10
11
11
10
11
00
10
11
00
10
10
10
01
00
11
00
10
10
01
00
10
00
00
00
10
01
01
00
10
11
00
10
10
00
10
10
10
01
00
10
10
00
10
11
00
00
11
00
00
10
01
01
10
11
01
00
10
10
10
10
11
01
11
10
00
10
01
00
11
10
01
00
10
01
11
01
00
10
11
10
10
00
00
11
00
11
00
01
11
11
11
00
10
10
11
10
00
01
11
01
01
00
00
01
01
01
00
10
10
10
00
00
10
10
10
11
01
00
01
10
00
10
10
00
00
00
10
00
01
01
00
00
10
00
10
10
11
10
01
00
10
00
00
00
10
10
00
01
00
01
10
11
10
00
01
10
11
00
10
11
10
11
10
01
00
00
00
11
00
11
10
01
01
11
01
11
01
10
10
01
11
01
00
11
10
01
11
00
00
10
11
00
00
10
00
01
01
11
00
00
11
10
10
01
01
10
10
11
00
10
00
00
00
11
11
10
01
00
10
00
00
00
11
10
00
10
10
01
10
00
11
11
00
10
00
10
10
00
00
10
01
01
10
00
01
00
11
10
01
10
10
10
10
10
00
01
11
00
10
10
10
10
01
10
00
10
11
00
10
00
01
10
10
10
10
10
00
00
01
00
01
10
11
00
00
10
11
10
00
00
10
10
10
00
01
01
00
10
01
01
10
10
10
01
00
01
10
10
10
00
01
10
11
01
01
10
00
01
00
00
10
11
00
00
10
10
00
00
00
01
10
11
00
01
10
10
01
01
10
10
11
10
01
10
10
10
11
00
10
00
10
00
00
10
01
10
00
01
00
10
11
01
10
00
01
11
10
00
01
10
11
01
10
01
00
00
10
10
01
10
11
01
11
10
10
10
00
00
11
11
01
00
00
01
10
11
01
00
00
00
10
01
10
10
11
00
01
10
10
01
10
00
10
11
00
01
10
11
11
01
01
10
10
00
01
11
01
00
00
10
10
11
10
11
00
11
10
00
00
10
11
00
01
01
00
01
10
10
00
00
10
01
01
11
11
00
00
11
11
10
00
00
11
00
00
11
10
10
00
00
01
11
10
00
11
10
10
00
00
10
10
01
10
11
00
11
00
00
11
01
01
11
10
11
10
11
00
01
10
10
00
00
00
10
00
00
10
00
11
01
00
00
01
10
11
00
00
10
00
00
10
10
10
01
11
00
00
01
00
01
11
01
11
00
01
10
11
11
10
00
00
00
00
11
11
11
11
00
00
11
11
00
10
10
10
00
00
01
11
11
00
10
11
00
01
00
11
01
00
10
00
01
10
11
01
00
00
01
00
10
11
01
01
10
11
10
01
00
10
10
10
10
01
00
10
00
00
00
10
01
10
10
10
00
11
10
00
00
11
11
10
10
11
00
11
10
01
00
10
01
00
10
10
10
11
11
10
00
10
10
00
00
00
11
10
10
11
10
00
11
01
10
10
00
00
01
10
10
10
00
10
00
00
00
10
01
11
01
00
01
01
00
10
00
10
10
00
11
10
00
11
10
01
00
01
00
00
11
10
00
01
01
10
11
11
00
01
10
00
11
10
00
10
10
00
10
00
10
10
10
01
01
00
10
10
00
11
01
00
01
00
00
01
00
01
00
00
11
11
10
10
11
00
01
00
11
00
11
01
10
10
00
11
10
00
10
10
10
01
01
10
10
10
10
10
10
00
11
10
11
00
11
10
11
00
00
10
10
00
01
10
01
11
10
00
00
11
11
00
00
10
11
00
10
11
00
00
00
01
10
10
01
00
00
01
11
00
10
10
00
01
00
10
10
00
00
10
11
10
10
01
11
00
10
10
11
11
00
10
11
11
10
01
00
01
10
00
10
00
00
10
10
11
00
10
11
00
10
00
10
00
00
10
01
10
00
00
10
10
01
10
10
00
00
10
00
01
11
10
00
01
11
00
10
10
01
01
00
00
10
11
10
00
10
10
01
10
10
00
00
00
00
10
00
00
10
00
00
10
00
00
10
00
01
10
11
10
00
11
10
00
11
11
00
11
01
11
11
11
10
10
10
00
01
11
10
00
00
11
11
00
10
00
10
00
00
10
10
10
10
00
00
01
01
11
01
00
11
00
10
01
10
11
00
10
01
10
01
10
10
11
00
11
00
00
10
01
00
01
01
01
00
10
00
10
10
00
00
10
11
01
01
10
01
01
01
10
01
11
10
10
01
00
10
00
00
10
00
10
00
00
10
10
10
10
10
10
01
10
11
00
01
00
10
01
00
10
11
00
00
00
10
10
11
01
11
10
10
00
11
11
00
11
10
10
00
11
10
01
00
01
00
10
00
11
00
11
00
00
00
11
10
00
10
10
00
10
00
00
10
10
10
01
10
10
00
10
00
10
10
01
00
10
00
11
11
00
01
00
00
01
00
10
11
10
00
11
10
00
10
00
00
00
11
00
10
00
10
01
10
00
11
10
01
10
00
10
00
10
11
00
00
00
10
01
11
10
00
10
00
11
10
00
10
11
10
01
00
00
11
00
00
01
11
11
10
00
10
10
00
11
00
01
01
11
00
11
01
01
00
11
10
00
11
11
01
10
11
00
00
10
00
00
11
00
00
01
10
01
00
00
11
11
00
10
10
01
10
11
00
00
00
11
00
11
00
01
11
11
11
00
01
10
10
00
00
11
10
10
01
10
11
10
00
00
00
10
01
00
11
00
00
00
11
11
10
01
00
00
00
00
01
10
01
00
01
10
11
10
01
10
00
00
10
01
00
00
11
10
01
01
00
10
01
10
00
10
10
01
11
00
00
10
11
00
11
10
00
00
11
10
00
01
10
10
00
01
00
01
10
10
00
10
00
00
11
10
10
00
10
01
00
00
01
11
11
11
01
00
00
00
10
10
10
01
00
11
10
11
10
00
00
11
11
01
01
00
10
10
11
00
00
11
10
01
00
10
00
00
00
10
11
10
10
10
01
00
01
11
00
01
00
11
10
00
01
11
00
01
10
00
00
10
10
01
01
11
11
00
00
00
01
00
11
10
01
11
00
10
00
10
10
10
01
00
00
11
00
00
11
00
10
00
10
10
01
10
10
01
10
00
00
11
11
01
01
00
10
11
00
11
10
01
00
10
00
10
00
00
11
10
00
10
10
11
01
10
00
00
10
10
10
00
00
10
00
00
10
00
10
01
00
01
00
00
10
10
10
00
11
11
11
11
01
01
01
01
00
11
10
00
10
01
00
10
10
01
10
10
11
01
01
11
11
00
00
10
10
10
10
10
00
00
00
11
00
00
11
01
01
01
11
00
00
00
01
10
10
10
01
00
00
01
11
10
01
10
00
11
10
00
00
00
11
11
00
10
00
11
10
00
00
01
10
10
00
00
11
10
11
01
10
10
01
00
00
10
10
10
00
10
00
10
01
10
10
00
11
10
10
00
00
11
11
10
00
10
00
00
11
10
11
10
00
01
00
00
00
00
00
10
00
11
00
01
00
10
10
00
00
01
00
01
11
10
00
11
10
10
00
11
01
11
10
10
10
01
10
00
11
10
10
00
00
10
00
00
00
10
11
00
10
10
01
00
01
10
01
01
10
10
01
00
11
10
01
10
01
00
10
01
01
01
11
11
11
00
10
10
01
01
11
10
00
00
00
00
11
10
00
11
10
10
01
01
00
00
10
10
00
00
11
00
11
10
01
00
10
10
00
01
10
00
10
00
01
10
00
11
00
01
01
10
10
00
11
10
00
00
00
10
00
11
10
00
00
00
11
11
10
01
00
00
00
00
10
10
00
00
10
10
10
10
10
00
00
10
00
10
10
01
11
10
01
01
10
10
10
00
10
10
00
10
10
00
11
00
01
00
10
00
10
10
10
00
00
10
11
01
00
01
11
01
11
10
01
00
10
10
00
00
10
00
00
01
10
10
01
10
00
00
00
00
00
00
11
00
01
10
10
11
00
10
10
10
00
10
10
00
10
10
10
10
00
01
00
00
11
11
10
10
00
10
11
00
10
00
00
11
11
00
00
00
10
10
00
10
00
11
01
10
00
11
11
11
11
00
01
01
10
00
10
11
00
01
00
10
10
01
01
00
10
11
10
11
00
10
10
00
10
01
11
11
00
11
00
10
10
00
01
10
10
00
10
01
01
00
10
11
00
10
10
10
00
10
10
11
10
10
11
10
00
11
11
11
00
11
01
00
00
10
11
10
11
00
00
01
01
10
00
11
10
10
10
11
00
00
01
01
11
10
00
01
11
11
00
00
10
01
10
10
10
10
00
00
11
00
11
11
10
00
10
00
00
00
10
10
01
00
01
10
01
00
11
11
00
11
11
00
00
11
00
00
11
00
10
10
00
00
01
00
10
00
10
01
10
10
00
11
01
00
10
00
01
10
11
10
00
01
10
10
10
10
00
01
10
01
10
01
10
10
10
00
11
10
00
01
00
10
01
11
10
10
00
10
11
01
00
10
11
10
11
00
11
00
00
10
11
00
00
01
10
00
10
00
00
10
00
10
01
00
10
10
10
10
10
10
11
10
10
00
10
00
00
00
00
00
00
00
00
10
10
10
01
00
10
11
00
00
11
00
10
00
00
01
11
10
00
00
00
10
00
10
00
00
01
10
01
10
01
01
00
10
11
00
00
10
10
01
00
10
11
11
10
10
11
10
01
00
10
10
10
00
00
00
11
10
00
10
00
01
10
10
00
11
00
00
01
10
11
00
01
10
00
01
10
01
00
11
11
00
01
10
01
00
11
10
10
00
00
01
10
00
01
00
11
01
10
11
10
00
10
00
01
00
11
10
00
00
10
10
00
01
10
11
00
00
11
01
00
10
11
00
10
10
11
00
10
01
00
10
10
10
01
00
10
00
10
11
11
10
01
00
10
00
10
11
01
10
00
11
10
00
01
00
00
11
11
10
10
00
10
01
00
01
01
10
10
00
00
01
00
00
11
00
10
01
00
10
11
11
11
00
01
00
01
10
00
10
10
01
00
00
11
10
00
10
10
00
10
01
00
10
11
00
01
10
01
10
01
10
11
10
10
00
00
10
10
10
01
01
11
00
10
00
10
01
00
00
11
00
10
10
00
01
00
10
10
10
10
00
10
10
11
00
00
11
10
10
00
10
11
11
10
00
01
11
10
10
00
01
11
11
10
01
00
11
10
00
01
00
00
10
00
01
10
10
00
00
01
00
10
10
10
00
11
11
00
00
00
11
10
10
01
00
10
00
10
10
00
01
01
00
01
10
00
01
10
10
01
01
01
10
01
00
00
01
11
00
01
11
10
01
10
00
00
00
10
10
01
10
10
00
01
10
00
00
00
00
00
11
00
00
11
10
10
10
00
00
10
10
00
11
01
01
10
10
10
10
01
00
10
10
00
01
11
00
01
00
10
00
00
10
10
00
01
01
11
11
11
11
00
10
10
01
10
00
00
01
00
10
01
11
00
10
10
10
10
10
11
00
00
01
00
00
11
10
01
00
10
10
11
00
01
11
11
11
11
01
00
10
11
00
00
11
10
01
01
11
01
00
00
11
10
00
01
10
11
01
00
10
11
01
00
00
11
10
00
01
00
10
10
10
10
10
01
01
10
11
00
00
10
01
00
10
10
00
00
10
00
00
11
11
01
11
00
00
01
10
00
10
11
01
00
00
00
10
00
11
10
01
11
00
10
11
11
11
11
00
11
00
01
01
00
00
10
00
00
11
11
01
00
01
10
10
10
10
10
00
11
00
01
00
10
00
10
11
11
10
10
10
00
10
10
00
01
10
10
00
00
00
11
00
00
10
10
10
01
01
11
10
11
10
11
01
00
11
11
00
01
10
00
10
00
11
10
11
00
00
00
10
10
10
00
00
00
00
11
11
00
00
11
10
10
11
10
00
00
01
01
11
01
11
10
00
00
00
11
10
00
10
10
00
10
01
11
00
01
00
10
10
01
00
10
00
01
00
00
01
10
11
10
10
11
00
10
11
00
00
00
11
00
00
10
11
11
01
11
10
00
10
11
00
00
01
10
01
00
00
11
10
10
00
00
11
11
00
00
11
01
10
01
00
10
01
00
11
11
00
00
10
10
11
11
00
00
11
10
10
00
01
10
01
10
00
00
10
00
11
01
00
11
10
00
10
00
00
11
11
11
00
11
10
00
10
01
00
10
00
01
00
11
11
00
10
10
10
10
00
10
00
00
01
01
01
00
10
10
00
10
00
10
10
11
10
01
01
10
10
11
00
10
11
00
00
00
10
11
10
10
00
10
11
10
10
01
00
00
10
10
11
00
00
11
10
00
10
00
00
00
11
10
00
10
00
10
01
00
10
11
10
01
10
00
10
10
00
00
10
10
10
10
00
11
01
00
00
00
10
00
00
10
00
10
00
00
11
11
00
10
11
01
00
00
11
11
11
00
10
10
00
10
10
00
01
01
10
10
00
11
00
11
10
00
10
11
00
00
01
00
10
00
10
11
10
01
10
11
11
01
11
10
00
10
00
01
01
10
11
00
11
10
10
10
11
01
01
00
10
10
10
00
10
00
00
10
01
01
00
10
10
10
10
10
00
00
10
10
10
10
01
10
10
00
00
00
00
11
00
00
01
01
10
00
10
10
00
00
00
00
01
10
01
10
00
11
00
00
01
01
11
10
00
10
00
01
00
00
10
00
00
10
00
01
01
01
10
11
10
00
11
11
00
01
01
11
11
10
10
00
00
11
00
00
10
01
00
11
10
00
10
10
11
01
10
11
10
10
01
10
01
00
00
10
11
01
11
10
01
00
11
00
00
00
00
10
11
10
00
11
10
10
11
10
00
00
10
00
10
01
10
00
11
10
01
00
01
00
00
10
10
00
10
11
10
10
10
10
00
00
01
01
10
00
00
11
01
11
10
01
11
10
00
10
10
00
10
10
00
00
01
00
00
00
11
10
01
00
10
00
11
00
00
11
11
10
10
00
00
10
00
11
11
00
10
10
11
10
10
10
00
10
10
01
00
10
00
00
00
11
00
10
01
10
11
00
10
00
01
00
10
00
00
10
00
00
00
11
10
11
11
00
00
00
00
10
00
01
00
00
11
10
11
00
01
10
01
10
01
01
10
11
00
10
11
00
00
11
11
00
10
10
11
10
00
10
00
01
00
10
11
01
10
10
11
01
00
11
00
01
11
11
10
00
00
00
10
00
00
11
00
00
00
00
10
10
11
01
10
10
01
11
00
10
01
00
10
00
01
11
10
00
01
00
11
11
00
10
00
10
00
00
11
10
00
01
00
00
00
11
00
10
11
11
01
01
10
10
10
10
00
00
10
11
10
00
10
10
00
00
00
10
00
00
10
00
11
00
00
01
00
00
10
00
11
10
11
11
10
01
11
10
00
11
10
01
00
10
10
10
10
01
00
00
11
11
01
11
01
00
01
00
00
01
11
10
10
00
01
10
11
00
11
00
00
01
10
00
00
00
10
11
00
01
01
10
01
11
10
10
10
01
01
10
10
00
10
01
11
10
00
11
10
00
00
00
10
10
01
01
10
11
10
01
00
11
10
10
00
01
11
11
10
00
10
01
00
00
01
10
00
00
01
00
10
10
01
00
10
01
10
11
00
00
10
10
10
01
00
10
00
11
10
01
10
11
10
00
00
01
00
11
01
00
10
11
01
00
10
10
00
01
11
00
00
11
10
00
00
11
00
10
11
11
11
00
01
10
10
00
10
01
00
10
10
00
10
11
11
11
10
10
00
00
00
01
00
11
10
10
10
10
11
10
00
00
00
01
10
10
01
10
10
00
00
10
01
10
10
11
01
01
11
10
00
00
11
10
01
01
10
00
00
11
11
10
01
00
11
10
00
10
10
00
10
10
00
11
00
01
10
11
11
11
00
00
00
10
00
10
01
00
10
10
01
00
01
11
01
00
11
10
11
00
10
10
11
00
00
00
00
00
10
10
10
00
11
00
10
10
11
10
11
10
00
10
10
01
00
01
00
10
10
01
10
00
10
00
10
10
11
11
11
11
00
10
01
11
01
00
11
00
10
10
00
10
00
00
10
00
10
01
10
00
01
10
00
10
10
11
10
00
00
10
10
10
11
11
00
01
10
00
10
11
01
01
01
00
10
01
10
11
10
01
00
10
10
10
00
01
10
10
01
10
00
00
01
10
10
00
10
10
11
11
10
01
00
01
00
01
01
00
00
11
00
10
10
10
00
01
10
00
11
10
11
00
00
01
00
01
01
00
10
00
10
00
00
00
10
00
00
00
10
11
00
10
10
00
00
00
10
11
11
11
10
10
10
11
00
01
00
00
00
10
11
10
11
00
10
11
00
01
10
00
11
11
10
00
01
10
10
10
00
01
11
10
00
10
10
00
10
00
10
11
10
10
01
00
01
00
00
10
10
00
01
11
10
00
11
01
10
10
00
00
11
10
10
01
00
10
00
01
10
10
00
01
11
00
00
10
01
10
00
00
11
00
01
10
00
00
10
10
10
00
01
00
00
00
10
10
11
11
00
00
00
11
00
11
11
11
11
00
01
10
00
00
10
00
00
00
10
01
10
00
11
00
00
00
10
10
11
01
10
11
00
10
11
10
01
00
11
10
01
00
10
10
10
01
00
11
10
11
10
00
10
00
00
00
00
10
10
10
11
10
10
00
00
11
10
00
11
10
00
00
11
11
01
10
00
10
10
10
10
00
01
10
11
00
00
11
10
00
00
10
11
10
10
10
10
10
10
01
00
00
00
00
11
10
10
10
11
10
00
00
01
10
00
00
00
00
11
00
10
00
00
11
00
00
11
00
00
10
00
00
11
11
01
10
00
00
10
00
00
10
10
10
00
10
10
00
11
10
00
11
11
01
00
00
00
00
00
11
11
01
00
00
10
11
01
10
10
00
11
01
00
00
01
11
00
11
10
10
10
01
01
10
01
00
10
01
11
01
10
10
10
10
00
01
10
00
01
00
10
10
10
10
10
00
01
10
11
00
11
01
00
11
10
11
10
01
00
00
00
10
10
00
01
11
11
01
11
00
11
10
11
00
10
10
10
01
00
10
00
01
00
10
00
10
11
11
11
00
00
00
01
10
01
11
10
11
00
00
11
00
01
01
11
00
10
10
00
00
11
10
00
00
01
00
10
11
11
00
11
10
00
00
10
10
01
01
01
11
01
10
10
01
00
00
10
10
11
11
01
01
10
10
10
11
11
00
01
10
01
00
00
11
10
01
01
10
10
11
10
00
00
00
10
01
10
11
10
00
00
10
00
01
10
10
00
10
11
11
10
10
00
01
10
00
01
00
10
10
10
10
11
01
10
11
00
11
10
10
11
00
00
11
11
01
00
01
00
10
10
10
10
01
00
10
00
00
00
00
00
10
11
10
00
10
00
00
11
00
11
00
00
11
10
10
11
10
00
10
10
11
00
00
01
01
10
10
00
10
10
10
10
00
00
00
11
00
11
01
10
00
11
11
00
11
10
01
10
11
11
01
01
10
01
00
00
11
11
00
10
00
00
00
10
00
11
00
00
10
00
01
10
10
00
00
10
11
10
01
01
10
01
00
10
11
00
01
10
00
00
00
10
00
00
11
00
10
00
10
10
00
10
10
10
00
11
10
10
00
00
01
11
00
01
10
11
10
11
00
01
11
11
10
01
11
10
10
00
00
00
01
10
11
10
11
00
01
00
10
00
01
10
01
01
11
11
10
10
10
10
00
01
10
10
00
00
00
00
01
10
01
10
11
00
11
00
01
10
10
00
00
10
11
10
01
00
01
00
10
00
10
11
00
10
00
11
10
01
10
00
00
10
00
10
01
00
10
00
01
00
11
10
01
10
10
10
01
11
10
11
00
00
10
00
10
10
10
01
11
00
10
01
01
01
11
11
01
11
01
10
10
00
00
10
10
00
01
00
01
00
01
10
10
00
10
10
00
10
00
00
11
01
10
01
00
11
10
00
10
10
00
00
00
10
10
00
10
10
00
10
11
01
00
10
00
11
10
00
10
01
11
01
01
00
10
11
10
10
11
00
00
00
10
10
00
10
10
10
11
11
01
00
11
00
10
10
00
10
10
00
01
10
11
00
00
10
10
00
10
00
00
11
11
11
00
11
10
10
10
01
00
10
00
11
10
00
11
00
00
00
10
11
00
11
00
10
00
00
11
11
00
01
00
11
11
00
01
10
01
10
11
10
11
01
00
01
10
10
00
00
00
11
00
11
00
10
11
11
11
00
00
11
01
10
00
01
00
10
10
01
01
10
00
10
10
00
10
00
00
11
00
10
00
10
11
11
00
00
01
00
10
00
10
00
10
11
10
00
00
10
11
01
11
10
00
01
00
11
10
00
00
10
10
01
10
10
11
10
11
10
10
00
00
10
10
10
00
00
10
01
00
01
00
01
01
01
10
11
00
01
10
10
10
00
00
00
01
10
10
00
01
00
11
00
00
11
10
00
01
00
11
00
01
00
01
10
11
10
01
10
10
10
00
10
11
00
01
10
11
10
11
00
00
00
10
01
11
11
00
11
00
11
11
10
00
00
10
00
00
10
11
10
10
01
00
10
00
00
10
10
00
01
10
10
10
01
00
11
00
10
11
11
00
10
11
01
10
10
10
10
00
00
00
10
10
00
11
11
10
00
01
11
00
10
00
10
11
00
10
10
01
01
10
01
10
00
10
11
00
00
10
11
10
01
10
10
00
10
00
00
10
11
10
01
10
10
00
00
11
10
10
00
00
10
10
11
00
10
10
00
10
00
10
10
10
00
10
00
01
00
01
01
00
10
10
10
10
11
01
01
01
00
00
00
00
01
00
10
11
10
10
01
01
11
10
10
00
00
00
00
11
11
11
10
10
10
00
11
00
10
00
10
00
00
10
10
10
10
11
01
01
11
01
01
10
10
01
00
10
10
01
01
10
11
11
10
01
00
00
00
10
10
10
11
00
00
11
10
11
10
10
00
00
10
00
11
10
10
00
10
11
10
10
00
10
00
00
01
00
11
10
11
01
10
10
01
00
11
10
01
00
01
00
10
00
00
00
11
01
01
10
10
00
10
00
10
11
01
00
01
01
01
11
01
01
10
10
01
00
10
00
11
10
10
01
00
01
10
00
00
10
10
01
10
10
11
00
00
10
00
00
01
10
10
10
11
10
10
00
00
10
00
00
10
11
00
00
01
00
10
00
11
00
00
10
11
10
10
00
00
10
11
10
11
00
11
00
01
10
10
11
00
11
11
01
00
00
11
00
10
10
11
00
10
00
01
11
01
11
11
01
01
11
00
10
10
00
10
10
00
00
10
10
00
11
10
11
10
01
11
10
00
11
10
01
10
10
00
01
10
10
10
01
10
10
00
01
00
10
00
10
00
10
10
00
10
01
10
10
11
01
00
10
00
10
10
11
11
01
00
01
11
00
01
10
11
00
10
01
00
00
00
11
10
01
00
10
00
10
10
00
10
10
01
01
00
10
10
01
01
01
11
11
01
00
00
11
01
00
10
10
01
10
10
00
00
00
10
11
10
00
00
10
10
00
10
01
11
10
00
00
00
01
00
00
10
10
00
11
00
10
10
00
00
01
10
10
11
00
00
00
10
10
11
00
10
01
10
00
00
01
01
11
10
11
10
00
10
10
00
00
00
11
10
01
00
00
00
10
11
10
10
01
10
10
00
00
00
00
11
00
01
01
11
10
01
00
01
00
11
11
00
10
11
10
00
00
10
11
01
00
00
00
00
01
10
00
10
10
00
01
00
00
00
00
00
11
01
10
11
00
11
10
01
00
10
10
00
10
10
01
01
01
10
10
01
11
11
00
10
10
00
00
10
10
10
11
00
00
01
11
01
01
10
00
11
00
00
10
01
10
00
10
10
00
00
10
10
10
00
00
01
11
00
01
00
10
00
01
10
10
01
00
10
11
11
10
10
11
00
00
00
10
00
00
11
10
10
00
10
01
00
10
10
01
00
10
10
10
10
10
01
01
00
11
01
10
10
00
11
11
10
00
00
00
00
00
01
11
10
00
11
11
11
00
10
00
10
10
10
01
01
10
01
01
01
01
00
10
11
00
01
00
10
01
11
01
11
01
00
11
00
00
01
01
11
10
00
01
01
01
01
10
10
10
00
10
00
01
00
00
00
00
01
10
10
00
11
00
10
01
10
10
01
01
00
00
10
10
00
11
10
11
11
00
00
00
00
10
00
00
10
10
11
11
00
01
10
01
11
10
00
10
10
00
00
10
10
00
00
01
01
10
11
01
00
11
01
10
11
10
01
10
11
00
10
01
10
11
01
01
01
01
01
11
00
11
01
00
10
00
01
10
10
10
01
11
10
00
00
00
11
00
00
10
11
10
10
11
11
00
11
10
00
00
10
10
10
11
00
10
00
11
00
11
00
01
10
10
00
00
10
10
10
00
00
01
00
00
00
10
01
11
00
10
01
00
00
10
10
10
01
00
11
10
01
01
01
00
00
10
11
00
11
00
01
00
10
10
00
10
10
11
00
00
10
00
00
00
11
00
10
00
10
00
10
10
00
00
01
10
10
10
10
11
10
11
10
00
10
10
10
00
00
11
00
01
11
00
11
00
00
10
00
11
11
10
01
00
00
00
01
01
11
00
00
01
00
00
10
10
01
11
01
00
10
01
00
10
10
01
10
10
10
10
00
10
00
00
10
10
01
01
01
11
10
00
10
00
00
00
10
11
00
00
10
10
11
00
10
11
11
10
10
00
00
10
10
01
10
10
01
11
10
11
00
00
11
10
00
10
00
00
01
11
11
11
00
10
10
01
00
10
10
00
10
10
01
01
10
10
10
11
01
10
10
11
01
11
00
00
10
00
00
11
10
00
01
10
10
00
10
10
11
01
00
00
01
10
00
00
10
00
00
10
10
01
01
00
11
10
10
00
00
10
10
00
01
11
11
11
11
10
00
10
00
10
10
11
00
10
00
00
11
11
10
11
00
00
10
00
11
10
10
10
01
10
10
10
00
00
10
00
00
10
10
00
10
00
01
01
10
00
10
10
10
11
10
00
00
00
00
00
01
00
11
01
00
01
00
00
10
11
11
00
00
11
00
01
00
11
00
00
00
10
11
10
11
01
00
10
10
00
01
10
00
10
00
01
00
11
10
10
01
00
10
11
10
00
10
11
00
01
01
11
11
10
01
11
00
01
10
11
00
10
11
00
01
11
11
00
10
11
00
01
10
10
00
10
10
00
01
10
11
01
00
10
10
01
00
10
00
00
10
11
00
00
11
10
10
10
11
11
00
00
11
01
10
11
00
01
10
10
11
01
00
00
00
10
01
01
00
00
10
01
00
01
00
10
11
10
11
00
01
10
11
00
00
01
10
10
01
01
11
00
00
00
00
01
10
10
00
00
11
00
00
00
01
10
00
00
00
00
01
10
10
10
00
11
10
11
11
00
10
00
00
10
00
01
11
10
01
00
01
01
00
10
11
00
00
10
11
10
10
00
01
00
00
00
10
01
01
01
11
01
11
00
00
11
00
01
10
10
11
10
00
01
00
00
11
00
10
00
00
10
00
00
10
11
01
10
00
00
00
10
10
00
00
11
10
11
11
00
01
10
10
01
00
10
00
00
00
11
01
10
10
01
11
11
11
01
10
11
00
01
01
10
10
00
10
00
10
10
00
01
10
01
10
10
10
10
00
10
10
00
10
00
11
11
00
00
00
01
10
00
11
10
01
11
11
10
10
10
10
10
00
01
10
11
00
11
10
00
10
10
00
00
10
10
10
00
01
01
10
01
11
11
11
00
10
10
00
00
10
01
00
00
00
10
00
00
10
10
10
10
00
00
01
10
11
10
00
10
10
10
10
00
01
00
11
10
01
11
10
00
00
00
10
10
10
11
10
01
10
10
11
11
00
00
00
11
00
11
00
01
01
00
10
01
01
10
10
11
00
00
10
01
10
01
11
11
10
11
00
11
00
01
00
00
11
10
00
00
11
10
00
01
00
11
10
00
10
11
10
00
10
11
00
00
00
10
10
01
00
11
10
00
00
10
00
00
00
10
10
01
10
01
00
10
00
10
01
00
10
00
10
10
10
10
01
00
00
10
10
00
00
01
10
10
01
10
00
00
00
00
01
10
11
10
01
00
10
11
00
10
11
01
00
01
10
00
11
00
10
11
00
00
10
00
01
11
11
11
11
01
00
11
01
01
00
10
10
10
11
00
00
10
10
10
10
10
11
11
01
01
10
11
01
00
00
10
01
01
10
11
00
00
10
11
01
10
10
01
01
01
10
01
10
10
01
10
10
00
00
10
10
10
00
10
10
01
11
10
00
11
00
10
10
11
10
00
10
00
11
10
11
00
11
10
10
01
10
01
00
10
10
00
10
10
00
10
00
10
00
00
00
00
10
10
00
11
10
10
01
00
10
10
10
00
10
10
11
10
11
00
00
10
11
10
01
00
10
01
00
00
10
00
00
11
01
01
01
01
00
10
10
01
10
11
01
01
01
00
10
11
10
00
01
10
11
10
11
00
00
00
00
11
10
00
00
00
01
11
00
10
10
00
11
10
10
01
01
01
10
10
10
10
10
01
00
11
00
01
00
00
01
01
10
11
10
00
10
11
01
00
10
00
01
00
10
10
10
00
00
11
11
00
01
11
00
10
01
00
10
00
00
00
10
10
00
10
11
01
01
11
00
01
01
11
00
10
10
00
01
00
11
10
11
10
00
01
10
11
10
00
01
00
00
10
10
01
10
01
00
10
11
01
01
10
00
00
00
00
10
01
00
00
10
10
00
10
00
01
00
10
10
10
00
01
10
11
10
00
01
11
10
01
00
10
01
00
00
10
10
11
00
00
11
00
00
10
00
01
00
00
10
11
00
10
00
10
11
10
00
01
11
01
11
00
00
00
11
01
00
01
10
11
11
10
01
00
00
10
10
01
10
10
00
10
11
11
01
10
10
10
00
00
00
11
11
00
11
10
01
01
11
00
00
10
10
11
00
11
10
11
00
11
00
10
00
01
00
11
11
10
10
10
00
00
10
00
10
11
01
10
10
00
11
10
00
10
00
00
01
00
01
01
10
11
01
10
10
00
00
11
00
00
10
00
01
10
10
10
10
00
10
10
00
01
10
00
11
10
00
11
01
00
01
10
01
00
00
11
11
01
10
10
10
00
11
01
00
10
01
00
10
01
00
10
00
01
11
10
00
10
00
01
11
01
01
00
10
10
10
10
01
01
10
00
00
10
01
11
11
01
01
01
11
00
01
10
11
00
00
10
11
00
00
00
10
10
00
11
01
01
11
01
11
01
00
01
01
10
10
00
00
11
00
11
00
00
10
10
10
00
10
10
00
11
00
01
00
00
01
00
10
11
11
00
10
10
10
00
11
11
00
00
01
00
10
00
00
10
00
11
10
01
10
00
01
10
00
10
10
00
11
00
01
10
00
10
10
00
11
10
10
00
00
00
00
00
00
00
00
00
00
10
00
10
11
00
11
01
00
00
10
00
10
10
01
10
00
00
00
10
10
00
11
10
10
01
00
10
00
00
01
00
00
10
00
00
00
10
01
01
00
11
10
11
11
10
00
01
00
01
11
01
10
11
10
00
11
10
01
10
10
10
10
01
00
10
10
10
11
10
10
10
10
00
10
10
10
11
10
01
01
00
01
00
00
01
10
11
11
10
01
00
01
00
01
10
11
11
10
10
00
00
10
00
00
11
10
00
10
00
11
10
10
00
10
10
00
00
11
01
00
01
00
00
00
10
00
01
10
10
11
00
01
01
10
00
10
01
10
10
00
10
11
10
10
10
01
01
01
10
10
10
10
00
00
10
00
11
11
11
10
00
00
11
11
00
00
10
10
00
00
00
11
10
10
01
01
10
10
10
00
01
10
10
10
10
00
10
00
00
10
00
10
10
00
01
10
00
01
00
00
00
01
10
10
00
00
01
10
11
00
10
10
00
00
11
00
00
11
01
10
10
00
01
01
00
11
00
11
00
00
10
00
00
10
00
10
10
10
11
10
00
11
10
11
00
11
10
10
11
10
11
00
10
11
00
00
00
01
10
11
10
00
10
10
00
01
01
11
10
01
10
00
11
01
11
10
10
01
11
11
00
10
11
00
00
11
00
00
11
10
11
10
00
01
10
10
00
10
10
01
10
10
01
11
10
00
11
00
00
10
11
00
01
11
10
00
00
10
11
00
01
10
01
01
10
11
01
10
11
01
00
00
00
11
00
00
10
10
00
00
10
01
00
01
00
10
00
01
11
10
10
00
10
10
11
11
01
01
10
10
10
10
00
00
00
00
00
10
00
00
10
00
00
11
01
01
01
01
10
10
00
00
11
01
11
10
10
00
11
00
00
10
11
00
01
00
00
10
00
00
10
00
00
11
00
00
00
11
10
11
00
00
10
10
10
00
10
10
00
00
11
11
10
00
00
10
01
11
01
01
10
10
00
10
11
01
01
10
10
00
01
00
00
10
10
10
00
00
00
00
10
10
10
10
11
10
01
11
01
10
10
00
00
10
10
11
00
11
00
00
00
11
00
00
11
11
01
01
10
11
00
01
00
10
10
10
01
00
11
10
00
10
00
10
01
00
00
11
11
11
01
11
10
00
11
00
00
00
11
00
11
00
10
10
10
00
00
01
11
10
01
00
00
01
01
01
10
00
00
10
00
10
10
00
11
10
00
11
00
00
10
10
00
00
10
00
01
00
11
00
00
10
10
11
10
01
00
00
10
10
01
10
00
10
10
10
01
11
10
00
00
11
01
11
11
01
00
10
00
00
10
10
00
01
01
11
01
11
01
10
10
00
11
10
01
10
11
00
00
10
00
10
11
11
00
10
10
00
00
10
01
00
01
11
00
10
00
01
01
00
01
10
01
10
00
00
10
00
00
10
10
11
00
00
10
10
00
10
10
01
01
10
00
01
01
01
10
11
10
01
00
01
00
10
11
00
01
11
10
01
00
10
10
01
01
00
10
10
10
10
01
01
00
00
10
01
01
10
10
00
10
11
00
01
01
11
00
00
10
11
10
00
01
10
10
10
00
11
01
01
11
00
11
00
11
01
00
10
10
10
10
00
00
11
01
11
11
01
00
00
10
01
10
01
01
10
11
00
10
01
00
11
00
10
11
00
00
10
01
00
10
10
01
10
00
11
11
10
00
10
10
10
10
00
10
01
00
11
00
11
10
00
01
01
00
10
10
00
11
11
00
10
10
01
01
01
11
00
00
11
01
00
01
10
10
01
00
10
10
10
00
10
10
01
00
11
10
00
10
11
00
00
10
10
00
00
00
00
11
10
10
00
00
11
00
10
00
00
00
01
00
10
01
10
10
11
01
01
10
00
00
10
10
00
11
10
00
00
00
11
00
11
10
10
00
10
00
00
00
11
00
11
11
11
01
10
10
11
10
00
01
10
10
10
10
00
01
10
00
11
01
00
00
11
10
10
11
10
10
10
10
01
00
11
00
00
11
11
01
10
11
01
00
00
11
10
11
00
00
00
00
00
00
00
10
10
11
11
01
10
00
10
10
00
01
01
10
00
00
01
01
11
10
00
00
01
10
10
00
00
10
00
01
10
10
00
10
00
00
10
10
00
10
11
10
01
00
00
00
00
10
10
11
10
00
01
01
10
11
10
00
11
01
10
10
11
00
01
00
00
11
01
00
10
00
11
10
11
01
00
01
11
00
10
01
10
10
10
00
01
11
00
01
10
00
10
00
00
10
01
11
00
01
00
00
00
00
10
10
00
00
01
10
01
00
10
01
00
10
10
10
00
10
10
00
11
00
11
11
01
00
10
11
10
00
00
00
11
01
00
10
00
11
00
00
00
10
10
00
10
01
01
10
01
00
01
00
10
11
10
00
10
11
00
10
00
00
10
10
10
00
10
11
00
00
10
10
11
00
00
10
10
00
10
10
01
00
11
10
00
10
10
00
01
10
10
10
11
01
10
11
00
10
00
00
00
10
10
00
11
11
11
00
11
01
01
10
11
11
01
11
10
00
00
11
11
11
01
01
11
00
00
10
10
00
00
10
11
00
00
00
11
11
01
00
01
11
10
00
11
10
11
01
01
01
01
10
11
01
00
10
10
10
01
01
00
10
10
01
00
01
10
11
01
10
01
10
10
00
00
01
10
00
11
11
10
11
10
01
01
10
00
10
10
10
10
00
00
10
00
10
10
01
10
00
10
00
10
10
00
10
10
00
01
11
00
00
00
00
11
00
10
00
00
10
11
11
01
11
00
00
00
00
00
11
10
01
10
01
10
10
11
00
00
00
00
10
10
00
00
11
10
11
00
11
00
10
01
01
00
11
00
01
00
10
11
01
10
10
00
00
10
11
01
00
10
00
10
00
00
11
00
11
11
11
10
10
10
10
00
00
11
11
00
00
10
10
00
01
00
01
00
10
00
10
00
11
11
10
11
00
00
00
00
10
00
10
10
00
00
01
00
10
00
10
00
00
10
10
10
10
00
10
10
00
01
10
00
10
11
01
01
01
10
11
10
10
10
01
10
00
00
11
10
01
10
01
01
11
10
10
01
10
01
00
11
10
00
00
01
10
00
01
10
11
00
00
10
00
10
00
00
01
10
11
00
10
11
10
00
10
00
00
00
00
10
01
00
10
10
11
00
00
01
01
01
11
01
11
00
10
11
00
01
10
11
00
00
11
11
01
00
10
10
00
00
00
11
11
00
00
10
10
00
01
11
01
10
11
01
00
01
11
01
00
10
10
10
10
00
11
10
11
11
00
01
00
10
01
00
11
00
10
11
10
01
00
00
11
11
01
10
11
01
10
11
11
00
00
01
01
11
00
00
01
01
10
00
01
11
00
10
10
00
01
10
10
01
00
01
10
10
10
00
11
00
11
10
00
10
10
10
00
10
10
01
01
01
10
00
11
01
00
01
10
11
10
00
00
11
00
01
10
10
10
00
10
11
00
01
11
10
10
11
01
10
10
00
00
10
10
00
10
01
00
00
11
00
01
10
00
01
00
00
00
00
00
01
10
00
00
10
00
11
10
10
00
11
01
10
10
00
01
10
11
00
11
01
10
00
10
01
00
01
01
00
10
10
01
01
11
01
11
10
10
10
00
00
11
10
01
00
11
00
11
10
00
01
11
00
00
10
10
00
10
10
11
00
00
00
10
01
10
11
00
10
10
10
00
00
00
01
11
11
10
10
00
00
10
10
01
10
11
10
11
10
11
01
10
00
11
11
00
10
00
00
11
00
10
11
00
00
10
00
00
11
10
00
10
10
11
00
00
10
01
00
01
10
10
00
00
11
00
01
10
10
01
00
10
10
00
10
01
00
00
01
00
00
01
00
10
00
00
11
01
10
10
00
10
11
00
10
00
10
11
01
11
10
10
11
10
01
00
00
10
10
10
11
10
10
10
00
00
00
00
11
01
00
10
10
10
10
10
11
01
10
01
10
01
00
00
10
11
01
10
00
00
10
01
10
00
01
10
00
00
10
10
00
00
01
00
10
10
10
11
01
10
11
10
10
01
11
00
10
10
01
00
11
10
11
10
10
00
00
01
10
11
00
00
11
10
10
00
00
11
10
00
11
10
00
00
10
10
10
10
00
11
10
01
10
11
10
00
01
00
10
10
00
00
01
10
01
10
01
11
10
10
10
01
00
00
10
10
00
00
11
10
10
00
11
10
01
10
10
01
10
10
10
10
10
00
01
00
11
11
10
01
10
11
10
00
01
00
10
10
10
01
11
11
11
00
00
11
11
00
01
10
10
00
10
01
11
10
11
00
01
10
10
10
00
00
10
10
01
00
01
00
11
01
01
01
10
11
00
00
10
10
01
00
11
10
10
10
11
10
00
11
10
01
00
00
10
10
00
10
00
00
00
01
11
10
00
01
00
11
11
00
01
10
10
10
11
11
01
00
10
10
00
00
11
10
00
00
00
10
00
00
00
10
00
10
01
10
10
01
11
00
11
10
10
00
01
10
00
10
10
01
10
00
01
10
00
00
01
00
11
10
10
00
10
00
00
11
11
00
10
10
01
10
00
11
00
11
10
00
10
00
01
10
00
01
00
01
10
00
00
10
10
10
00
00
00
10
11
10
11
10
00
11
11
10
10
00
01
11
11
00
01
10
11
00
10
10
01
10
10
01
00
10
10
10
10
10
11
10
11
10
00
00
10
11
01
00
11
10
10
10
10
00
10
10
00
00
10
00
00
10
10
00
10
00
10
01
10
00
00
11
01
10
00
10
10
00
01
01
10
00
01
00
00
00
01
00
10
11
10
00
01
11
01
00
00
01
10
10
10
10
01
11
00
10
11
00
10
01
00
10
10
10
00
00
10
10
11
00
01
11
00
00
10
10
10
00
00
10
10
00
11
00
01
01
10
00
11
10
10
00
00
10
11
00
01
00
10
10
11
00
11
10
00
10
11
10
00
00
00
10
01
01
00
00
10
11
10
00
01
10
10
01
10
01
11
01
00
11
10
00
01
00
10
10
01
10
10
10
11
01
11
00
10
01
01
10
10
00
01
00
00
00
10
10
11
10
10
00
11
10
00
11
10
10
10
11
00
01
10
11
01
01
00
11
10
00
11
10
00
00
01
10
00
01
10
00
10
01
10
01
11
01
11
11
00
00
10
10
01
00
00
10
10
00
10
10
01
00
10
10
11
01
11
00
00
00
11
00
11
10
00
00
00
11
10
00
00
00
11
00
10
11
00
10
00
10
11
10
00
10
01
10
01
00
10
01
00
00
10
00
00
11
11
11
00
00
01
11
10
11
10
01
01
01
10
10
10
00
10
10
10
00
01
10
01
10
01
10
10
01
00
01
10
01
10
11
11
01
00
11
00
10
00
10
11
00
10
10
00
01
11
11
10
00
10
00
01
10
00
10
01
00
11
00
00
01
10
00
10
11
10
01
00
10
01
10
10
10
11
11
00
00
10
10
10
10
11
00
11
10
10
11
10
00
00
11
00
10
11
00
10
10
10
00
00
10
10
10
10
00
11
10
11
10
00
10
00
11
11
00
11
10
11
11
00
00
11
10
01
10
00
10
10
10
10
10
00
10
00
00
11
11
00
01
10
00
00
00
10
11
11
00
00
10
00
00
00
00
10
11
01
00
10
11
01
10
10
10
01
01
00
10
11
10
00
00
10
01
10
11
01
11
10
01
10
11
00
00
10
10
11
00
01
11
00
00
00
10
10
11
01
11
11
10
00
01
11
11
10
00
00
00
10
00
10
10
10
00
01
10
00
01
11
00
11
10
01
00
10
00
01
10
11
10
01
10
10
10
00
01
10
11
00
10
01
00
10
01
00
10
01
00
10
00
11
11
00
00
11
00
00
10
10
00
10
10
10
00
01
10
00
01
10
11
10
11
00
00
00
01
10
10
01
01
00
00
11
01
10
11
11
01
00
10
00
10
10
01
10
10
10
00
11
00
10
00
00
00
11
11
00
10
10
11
00
11
01
01
01
11
11
10
11
01
01
11
00
00
11
10
01
00
10
11
10
01
00
01
10
01
00
10
10
01
00
00
00
11
10
01
10
10
00
00
10
10
10
00
11
11
11
10
00
10
11
10
00
00
10
00
00
00
10
10
10
00
10
10
00
00
10
11
10
10
00
01
01
00
11
11
11
10
01
00
10
11
10
11
11
00
01
00
00
01
00
10
10
10
00
00
10
11
10
00
01
10
01
00
00
00
11
00
00
00
10
01
10
11
00
10
10
01
10
00
10
00
10
01
00
10
00
00
10
10
10
10
00
11
11
01
10
01
10
10
10
00
00
10
10
10
01
01
00
10
00
01
00
10
10
00
00
11
00
10
01
00
11
10
10
00
00
10
10
11
11
00
01
10
00
01
10
11
10
11
00
01
00
00
01
00
01
10
10
00
10
10
10
11
01
01
10
11
00
00
00
01
11
10
00
10
11
11
01
01
01
11
10
11
01
00
00
10
10
00
10
11
11
11
10
00
10
11
00
01
01
10
10
01
01
11
01
00
11
10
10
10
10
00
10
10
00
00
00
10
10
11
01
00
10
00
00
11
00
00
10
10
00
00
11
10
11
11
00
10
10
00
01
10
11
00
00
00
01
11
11
00
00
00
11
10
00
00
11
01
00
11
01
11
11
11
00
10
11
10
10
01
01
11
01
01
00
10
00
10
10
01
10
01
11
11
00
00
11
00
00
10
01
00
10
00
01
00
10
01
10
10
10
00
10
00
10
10
00
11
11
10
00
00
00
10
00
01
11
01
00
11
01
01
10
10
10
00
10
00
10
11
10
00
11
00
01
11
10
11
11
01
00
00
00
10
11
00
00
10
10
11
01
00
11
00
01
10
10
00
00
01
10
10
00
01
00
00
11
11
00
01
11
00
01
01
10
10
00
01
00
10
10
10
11
10
11
00
00
00
00
00
10
11
00
10
00
10
10
00
10
01
11
00
00
01
11
11
10
01
10
00
00
10
10
01
00
10
00
00
10
10
10
00
01
10
00
00
00
10
10
00
01
10
10
00
01
10
11
01
10
00
00
10
10
10
10
10
10
10
10
00
10
00
00
01
00
00
10
10
11
10
10
00
10
00
11
10
00
11
00
10
00
00
11
10
00
01
10
10
10
01
10
10
10
10
00
11
01
11
01
00
00
11
11
01
11
10
00
00
11
01
01
11
10
11
01
00
10
11
00
00
11
11
11
00
11
01
10
11
00
00
11
00
01
00
10
10
11
11
10
10
01
01
00
01
00
00
01
01
10
10
00
11
11
00
00
10
11
00
10
01
01
10
11
00
10
10
00
00
00
00
00
10
00
00
10
10
11
01
10
10
10
11
00
10
10
11
11
10
10
11
00
10
00
00
11
10
10
10
10
10
01
10
00
00
00
01
01
00
11
11
01
00
10
00
10
00
00
10
10
01
10
01
00
11
10
01
01
00
10
11
10
00
10
11
10
10
01
00
01
10
10
10
10
00
00
11
00
00
11
00
01
10
10
11
00
00
11
00
01
10
00
10
10
00
10
00
11
11
11
10
10
01
00
00
01
10
10
01
00
01
10
10
10
10
11
01
10
11
11
01
10
01
11
11
00
00
00
11
11
00
10
10
10
00
10
00
00
10
00
00
00
10
00
10
10
01
11
10
01
00
01
00
01
00
10
00
01
10
10
10
01
10
10
11
00
11
10
00
11
11
01
00
10
10
10
00
00
10
10
10
00
10
00
11
00
00
10
10
00
10
00
00
11
00
00
00
00
10
00
00
00
10
10
10
00
10
10
11
01
00
10
11
11
10
01
11
11
10
10
01
01
10
11
00
01
10
01
01
10
10
00
00
10
11
00
10
11
01
10
01
00
10
00
00
10
00
00
11
00
10
00
10
00
10
00
00
10
00
10
01
10
00
00
10
00
00
10
00
10
10
00
10
10
10
10
11
10
00
01
10
01
00
01
10
10
11
00
11
10
00
00
01
11
10
01
00
01
10
10
00
10
10
00
01
10
01
00
11
00
00
00
00
10
10
10
10
10
01
00
00
10
00
10
10
01
01
01
10
11
01
00
10
10
10
01
01
00
10
10
00
00
00
00
00
00
10
10
11
11
10
11
10
01
10
00
00
10
00
00
10
00
01
10
00
10
11
10
10
10
10
00
00
10
00
01
10
00
00
00
11
10
00
10
00
01
01
11
11
10
10
00
11
00
11
10
00
01
01
01
11
00
00
00
10
01
11
11
00
10
00
01
11
00
11
00
10
00
11
10
01
11
10
01
11
10
10
10
00
01
00
10
11
00
01
11
01
01
11
00
01
00
11
11
00
00
10
11
00
00
00
10
00
00
11
01
10
00
00
01
10
11
11
10
00
00
11
11
01
00
00
00
00
11
11
11
01
01
00
01
00
11
11
00
00
10
11
01
00
00
00
10
10
00
00
11
01
00
00
10
00
00
01
01
01
01
10
00
10
00
10
11
00
11
10
11
01
11
00
01
10
11
00
00
00
00
10
00
10
10
01
01
10
11
00
00
00
00
10
10
00
00
00
10
00
00
10
11
11
10
00
00
10
10
01
01
10
10
10
00
10
00
01
10
11
01
10
01
11
10
10
00
11
00
01
10
11
10
01
11
11
11
00
01
00
01
11
10
00
00
00
00
00
11
10
11
11
01
00
01
11
11
10
00
00
10
00
00
10
10
01
00
00
00
10
00
00
11
00
00
11
00
11
00
10
11
11
10
00
10
10
01
00
10
10
11
10
00
00
10
10
10
00
00
10
11
10
01
00
00
00
00
01
01
10
11
00
00
11
10
00
10
01
00
01
11
00
00
10
10
00
10
10
10
11
10
10
00
00
10
00
10
10
11
00
10
01
10
00
01
00
01
01
00
01
01
10
11
01
01
10
01
10
11
00
01
00
11
10
01
10
10
11
01
01
10
10
01
01
10
11
10
11
00
10
00
00
10
00
00
10
10
01
10
01
00
10
01
10
00
10
00
00
10
10
01
01
11
00
10
10
11
00
00
10
10
01
01
11
00
11
11
01
10
01
10
11
00
00
00
10
10
01
10
10
00
10
00
10
00
00
10
11
00
01
00
00
01
00
10
01
00
10
10
00
00
11
11
10
01
01
11
11
00
00
10
01
00
10
10
00
01
11
11
00
00
10
01
11
10
10
10
10
00
11
00
00
10
10
11
01
11
00
10
10
00
10
11
10
00
10
00
00
10
10
01
11
01
11
01
01
01
01
10
00
10
10
01
00
10
11
00
01
10
00
00
00
10
10
10
00
11
10
11
10
01
01
10
01
10
01
00
10
00
00
10
10
10
01
00
11
00
10
01
00
00
00
10
10
00
00
00
10
10
01
01
01
01
11
00
10
00
11
11
01
00
11
01
11
00
01
01
10
10
10
11
00
01
10
10
01
00
00
10
11
00
10
01
10
11
10
10
00
00
11
10
00
00
11
01
00
10
10
10
01
10
00
10
10
11
00
00
00
10
01
01
11
11
01
11
01
10
11
00
00
00
10
10
00
01
11
00
00
11
11
10
11
00
00
10
00
00
00
01
10
10
00
10
10
10
10
10
10
10
00
10
11
01
01
00
00
10
00
10
10
00
00
00
00
11
00
11
00
11
00
01
00
00
00
00
11
11
10
11
11
10
00
00
00
00
01
10
11
10
10
11
00
10
00
10
10
11
00
10
10
00
00
10
01
00
10
11
10
00
00
01
00
00
10
10
11
00
00
00
00
10
00
10
11
10
01
10
00
01
00
00
10
01
00
00
00
10
10
00
10
10
10
01
10
00
10
10
10
00
00
01
00
10
01
11
11
10
11
00
01
10
00
11
11
01
01
10
10
11
11
11
01
00
10
11
11
01
00
10
00
00
11
00
00
10
00
10
00
00
10
01
00
00
11
10
00
10
11
11
10
10
11
10
01
10
11
00
01
11
00
00
00
01
10
10
00
00
00
10
00
00
01
11
00
10
10
01
00
00
10
11
10
11
10
11
01
01
10
10
10
01
00
10
11
10
10
11
00
01
10
10
10
10
01
00
00
10
11
01
00
01
01
10
00
01
00
10
00
00
10
10
10
00
10
10
00
10
00
00
00
11
00
00
00
00
01
11
00
11
10
00
00
00
10
10
00
10
10
10
01
10
00
11
00
11
00
10
01
01
11
00
00
11
00
00
11
10
00
11
00
11
10
00
10
10
00
10
00
00
01
11
00
00
00
01
00
11
01
01
00
11
10
00
10
11
10
10
10
00
10
00
10
11
00
00
00
01
10
00
10
10
01
01
10
10
11
10
00
01
10
11
00
00
10
00
01
11
00
01
00
10
00
10
10
00
01
10
10
00
11
00
01
00
11
00
11
01
10
00
10
00
00
10
01
11
10
10
11
00
00
00
10
01
00
10
11
00
01
00
11
01
00
01
11
10
00
11
10
10
00
00
01
10
10
00
01
01
10
10
00
11
10
10
10
11
00
11
01
00
10
00
00
11
10
10
01
00
10
10
00
11
10
01
00
10
01
10
10
01
00
10
10
00
00
11
01
11
11
10
11
10
00
01
00
01
11
10
00
00
11
10
10
01
00
10
10
00
11
00
00
00
11
01
01
01
10
01
10
10
10
10
00
10
00
00
10
00
01
00
11
10
11
10
00
10
00
10
00
00
10
10
00
00
01
00
01
10
10
10
10
00
01
10
11
01
10
00
00
00
10
00
00
10
10
10
10
00
00
00
11
11
10
00
10
01
11
01
00
00
11
01
01
10
00
01
00
10
10
10
10
00
10
11
10
00
11
10
00
00
01
00
00
10
01
00
10
01
10
10
00
11
00
00
10
00
10
10
00
11
10
10
00
00
00
00
00
00
00
00
11
10
01
11
11
11
01
10
10
00
01
00
10
10
00
00
10
00
00
01
10
10
10
01
00
10
00
01
11
10
11
01
10
10
00
00
10
11
01
10
10
00
00
10
10
00
11
00
01
00
10
00
00
00
00
00
10
00
00
10
00
11
10
01
01
01
01
01
00
00
00
10
01
00
01
11
10
10
00
10
11
00
00
01
10
00
11
00
00
11
11
11
00
10
00
11
00
01
10
10
11
11
10
11
00
00
00
00
10
00
00
10
00
10
11
10
00
00
10
01
01
00
00
11
11
01
10
11
01
01
10
11
10
01
01
10
01
00
10
10
00
00
10
10
01
00
10
10
00
01
10
00
11
10
10
11
01
01
10
11
01
00
10
10
11
00
11
00
00
11
11
00
10
10
00
00
01
00
00
01
10
01
01
10
11
00
00
11
01
00
10
10
11
10
10
10
00
00
00
00
00
10
11
00
01
10
00
11
11
00
01
00
10
00
00
01
11
00
00
11
10
00
01
10
00
10
00
00
01
10
11
01
00
10
11
00
11
11
01
00
01
00
00
11
10
01
10
11
00
10
00
00
00
11
01
10
00
10
00
00
00
00
11
10
00
10
10
10
01
11
01
10
10
11
01
01
00
11
10
10
11
01
10
10
00
00
00
00
01
10
00
00
10
10
11
10
00
10
10
01
10
11
01
10
01
10
01
00
10
10
01
10
00
00
10
01
10
00
00
10
10
11
00
00
01
10
00
00
10
10
00
00
00
10
10
00
11
01
01
10
11
10
11
01
10
10
00
10
00
01
11
01
01
10
11
10
10
01
01
11
11
00
00
01
10
10
00
00
10
11
01
01
01
10
10
10
11
10
01
01
10
01
01
11
00
10
10
00
00
10
11
01
00
01
10
10
01
01
00
10
00
10
01
00
10
00
11
11
00
10
10
10
00
11
00
11
00
01
10
10
00
01
10
10
10
00
00
10
00
00
10
10
10
10
11
11
11
00
00
00
11
10
00
01
11
10
10
01
10
00
00
11
10
10
00
11
00
00
00
10
00
11
11
00
10
00
00
10
00
00
10
00
10
11
10
11
00
01
10
00
10
01
00
10
10
10
01
11
00
10
10
00
11
00
00
01
00
00
00
00
01
10
11
01
00
10
10
01
00
00
11
00
10
10
01
01
11
11
10
01
10
10
00
10
00
01
10
11
11
01
10
10
10
11
10
10
01
00
10
00
11
01
11
11
00
01
00
11
10
00
01
00
11
10
10
00
01
01
11
10
01
10
01
01
11
10
00
00
10
10
00
00
10
10
10
00
00
10
00
00
11
11
00
00
00
00
11
10
00
01
10
10
10
11
11
00
00
11
10
01
10
10
01
01
01
10
10
00
10
11
11
01
11
00
01
01
11
01
11
10
01
11
01
00
10
10
00
10
00
10
10
10
11
10
11
01
01
10
00
00
00
00
00
10
10
10
10
10
10
00
01
11
00
10
01
10
10
00
10
11
00
10
01
10
11
00
00
11
11
00
00
00
10
10
10
00
00
11
10
00
00
10
10
01
10
00
10
00
00
10
01
01
10
00
10
00
11
01
11
00
00
11
00
10
11
10
00
11
10
10
00
00
00
01
01
00
01
00
10
01
10
10
00
11
10
00
10
00
00
10
00
01
10
10
01
00
00
10
01
10
00
10
00
10
00
00
01
00
10
00
00
10
00
00
10
00
00
00
11
01
00
11
00
10
00
10
00
11
01
01
10
10
10
11
11
00
00
11
11
01
01
11
10
01
11
11
00
00
10
10
10
00
01
10
00
10
11
10
01
11
01
00
10
00
10
00
00
10
11
01
10
10
00
00
10
00
10
01
00
10
00
01
10
10
00
11
10
01
00
10
10
00
10
01
00
10
00
01
01
10
10
01
00
01
00
11
10
01
00
10
11
01
10
10
00
01
00
11
11
01
10
00
01
00
10
10
10
11
01
00
10
00
00
00
00
00
00
01
01
01
00
10
01
10
00
00
10
10
00
10
10
00
01
10
10
10
11
10
00
11
00
01
01
01
11
00
10
00
10
10
00
00
10
10
00
00
01
01
00
10
00
10
00
01
11
10
11
11
00
00
11
00
11
11
10
00
01
10
01
11
00
11
11
11
00
11
10
00
11
01
00
10
11
01
01
11
10
11
00
11
01
10
10
00
10
01
10
11
10
10
01
01
00
10
10
10
00
00
10
01
10
01
01
11
11
11
10
00
10
01
00
10
10
01
10
01
00
11
10
11
11
10
10
00
10
10
00
10
01
11
11
01
00
00
00
01
10
11
01
01
11
11
00
01
01
00
11
10
00
01
11
01
00
11
11
00
00
01
00
01
00
10
10
00
00
10
10
00
01
00
01
10
10
10
01
01
10
00
01
10
10
10
00
10
10
11
10
00
10
01
10
11
01
00
11
11
11
00
00
10
10
11
01
10
10
10
11
10
11
01
01
11
11
11
10
00
00
00
00
10
11
11
01
00
10
00
01
00
11
01
01
00
00
11
01
10
10
10
00
01
00
10
00
01
10
10
00
00
00
01
10
10
00
00
00
00
10
10
00
10
10
00
11
11
00
00
10
00
10
11
00
10
10
10
00
00
00
00
00
11
10
01
11
11
10
00
10
01
10
10
10
01
01
10
11
00
10
00
00
10
11
00
00
11
00
01
10
00
00
10
11
00
00
10
10
10
10
00
10
11
00
00
01
10
10
00
01
11
00
01
10
10
00
01
10
11
10
00
00
10
00
10
10
10
01
11
01
10
00
10
00
11
01
00
11
10
00
00
00
00
11
01
01
11
11
11
00
10
11
11
01
11
00
00
01
01
10
11
01
01
01
10
10
10
00
01
11
10
01
00
10
11
10
00
01
00
00
10
00
00
10
00
10
10
00
10
11
00
11
10
00
00
00
00
10
11
10
10
00
10
10
00
10
11
00
10
00
10
00
00
01
10
11
00
00
00
11
00
00
00
11
10
00
11
11
00
00
10
10
00
00
10
10
01
01
10
01
00
00
11
10
10
11
00
00
11
10
10
00
10
00
00
10
00
10
11
11
10
00
11
01
10
10
00
01
01
10
11
00
11
00
00
01
10
10
01
11
00
11
10
01
11
00
01
00
10
10
10
00
00
11
10
10
00
10
01
01
10
00
00
00
10
01
01
01
11
10
11
10
01
00
11
10
00
00
00
00
10
01
00
11
11
11
00
10
11
00
01
10
11
01
10
00
11
00
00
10
10
10
00
00
10
11
11
11
00
01
11
00
00
10
01
10
10
01
01
10
00
01
11
00
00
10
11
00
00
10
00
01
00
10
10
10
11
10
01
00
10
10
00
00
01
01
10
11
10
00
11
01
00
10
11
10
10
01
01
00
11
01
00
11
00
11
10
10
01
01
00
11
00
01
10
01
10
10
11
01
01
10
10
00
10
10
10
00
01
01
10
00
10
00
00
00
00
11
10
10
10
00
10
00
10
00
00
10
10
00
00
10
00
11
10
00
10
11
01
00
00
01
10
00
10
11
01
10
10
01
11
01
11
00
11
10
11
10
10
11
00
01
00
00
01
11
10
00
10
10
10
10
11
01
01
00
01
00
11
10
10
01
00
01
10
01
01
01
11
10
11
00
00
10
10
10
00
00
01
10
00
11
10
00
00
11
10
00
00
00
11
10
00
00
10
10
11
10
00
10
10
00
11
00
10
10
00
11
10
10
01
00
11
10
00
11
10
00
11
11
10
00
01
00
10
10
10
00
00
10
01
00
10
11
10
01
00
00
10
00
10
01
00
10
10
10
11
01
10
10
00
00
10
11
01
10
10
01
10
10
10
10
00
10
10
01
10
10
10
00
00
10
10
01
10
00
01
10
01
00
10
11
10
11
10
00
01
00
10
00
01
10
10
10
10
00
00
00
01
10
00
11
11
11
00
10
00
01
00
10
00
10
11
11
10
01
10
00
11
11
10
11
00
00
10
10
00
11
10
00
11
01
00
00
01
00
10
10
00
10
00
00
11
10
01
10
00
01
00
11
11
10
00
10
11
10
00
00
01
00
10
10
10
10
00
10
10
10
00
00
01
00
00
10
10
00
10
00
01
10
10
01
10
00
00
01
10
11
10
11
01
00
10
10
00
00
00
10
11
01
10
00
10
00
10
11
00
11
10
00
00
10
10
11
00
00
10
10
00
01
00
00
10
10
00
00
10
11
10
10
01
10
10
01
00
11
00
10
10
00
10
10
11
10
00
01
00
11
11
01
00
00
01
10
00
00
10
10
00
01
00
10
10
00
11
01
10
11
10
00
01
10
11
00
00
00
10
00
01
00
10
01
00
00
10
00
01
00
11
00
10
10
10
00
10
10
01
11
10
10
10
11
10
11
00
01
11
01
10
00
10
00
10
10
00
00
00
10
01
01
10
00
10
10
10
10
01
10
10
10
10
01
00
10
00
00
10
11
01
00
11
00
01
10
10
11
10
10
01
10
00
01
01
01
00
10
11
00
01
01
00
10
01
01
11
01
00
11
10
00
10
00
00
00
00
11
10
10
11
11
00
10
11
01
01
00
01
00
00
10
01
10
10
01
00
00
10
10
10
10
00
00
10
00
00
00
00
01
00
11
11
00
10
00
11
10
11
01
01
11
10
10
11
10
01
10
00
00
11
10
01
10
10
10
01
00
10
00
00
11
01
00
00
10
10
01
10
10
10
00
11
10
00
11
10
00
00
00
11
00
00
00
00
10
00
10
10
10
10
01
11
10
10
11
11
00
11
10
00
00
00
00
10
01
00
11
01
10
00
01
10
11
10
00
00
10
00
01
01
10
11
01
00
10
10
10
00
10
10
01
11
10
11
10
10
10
01
01
10
11
01
00
11
00
01
10
11
00
10
11
01
10
10
11
01
00
10
10
00
11
00
00
10
01
10
01
10
00
00
11
00
00
10
10
01
00
10
11
11
00
01
01
10
10
10
01
10
10
00
00
10
00
10
11
11
10
00
10
00
00
10
10
10
10
00
01
11
10
00
11
00
10
00
01
00
11
10
01
11
11
00
11
10
01
00
11
00
10
10
00
10
10
01
00
11
10
10
00
01
00
00
10
10
00
10
10
01
00
01
10
10
10
10
00
10
01
01
10
11
10
10
10
11
00
01
01
00
00
11
00
00
10
10
00
01
10
11
10
01
10
11
00
00
00
10
01
10
00
00
01
10
00
00
10
01
01
00
00
10
01
10
10
00
00
11
10
00
11
01
10
01
10
10
10
10
00
01
10
00
11
10
11
01
01
10
01
10
11
01
00
10
10
00
10
10
00
11
01
00
00
00
11
11
10
11
11
10
00
10
00
00
10
11
01
00
10
00
01
10
00
11
00
00
11
10
01
10
10
01
10
00
00
11
11
00
00
11
01
00
00
00
10
10
11
01
11
10
00
00
10
10
00
00
11
10
00
11
00
00
11
00
01
00
10
10
11
00
11
00
10
10
00
01
10
10
00
11
11
00
01
01
10
00
10
11
00
00
10
10
10
10
11
01
01
11
10
00
01
00
00
00
10
00
10
01
00
10
10
00
11
00
11
10
10
00
10
10
10
10
11
10
11
10
01
01
01
00
10
00
00
10
10
00
00
11
00
11
11
10
11
01
10
00
10
00
01
10
11
10
01
01
00
01
11
00
00
10
10
10
10
00
00
11
01
10
01
10
10
00
10
11
01
10
10
01
01
00
01
00
00
00
10
00
01
10
11
11
00
11
00
11
00
11
00
01
11
10
01
01
00
01
10
10
00
11
10
00
00
10
10
10
11
00
11
10
11
01
11
10
01
10
11
00
00
00
10
00
10
10
01
10
10
11
11
10
10
10
11
10
10
00
00
10
10
10
00
00
11
10
00
10
10
01
10
10
00
10
11
10
01
00
11
00
10
00
01
10
01
01
00
10
10
00
10
01
00
10
01
10
10
00
10
11
01
01
10
10
10
00
00
10
10
00
00
10
10
11
10
10
00
00
00
00
10
10
11
00
10
00
10
10
00
11
01
01
10
11
11
11
01
01
11
10
01
10
00
00
10
00
00
01
10
00
10
11
00
01
10
01
00
10
01
11
00
00
00
10
11
01
11
01
01
10
01
00
01
10
10
00
00
11
10
10
10
10
01
01
11
00
11
10
00
00
00
11
10
10
00
10
00
10
01
00
11
10
01
10
10
01
10
11
01
11
10
10
00
00
01
10
11
11
10
01
00
11
00
00
10
10
01
00
10
00
11
11
11
00
00
10
11
10
10
10
01
00
11
11
01
00
10
00
00
00
10
11
00
10
11
11
00
00
00
10
11
00
10
11
00
00
00
10
10
00
01
11
11
10
00
11
00
01
10
10
00
11
10
11
01
00
10
11
00
11
01
10
01
10
10
10
00
00
10
01
00
00
11
01
00
00
11
11
11
00
00
00
01
11
00
10
11
11
01
01
01
10
10
10
00
01
10
10
00
00
10
00
01
00
01
11
10
11
00
10
00
10
10
01
00
00
11
10
11
00
10
00
00
10
00
00
10
11
00
10
00
10
10
10
01
10
00
01
01
01
11
01
10
10
00
00
11
10
00
00
00
10
10
11
00
10
01
10
10
00
00
00
01
10
00
10
00
01
10
10
01
00
10
10
01
00
01
10
11
10
00
00
00
10
11
10
01
00
10
10
01
00
11
11
10
00
10
10
00
00
10
00
01
10
10
00
10
01
10
10
10
11
01
00
01
00
10
00
00
11
10
11
00
11
10
00
10
11
01
00
11
10
00
00
10
01
10
11
10
11
10
10
10
10
10
01
10
00
10
10
11
10
00
10
01
00
10
10
11
01
00
11
10
00
00
11
11
11
10
00
00
00
00
10
11
00
00
10
11
01
00
00
10
00
01
00
10
10
00
00
00
11
00
10
00
10
10
10
10
01
10
10
11
11
11
10
00
10
10
10
10
01
00
10
11
10
00
00
00
11
01
00
10
10
00
00
10
01
00
10
10
10
00
01
00
00
01
10
00
01
10
11
01
00
10
00
01
00
00
10
10
10
11
10
11
01
01
00
01
01
01
10
10
10
00
00
11
01
01
11
01
00
01
00
11
11
00
00
10
11
01
00
11
10
10
10
00
10
01
11
11
01
11
00
00
11
01
01
10
10
00
01
10
10
00
01
01
10
11
10
00
11
11
00
00
00
00
11
01
11
01
11
00
10
00
10
10
01
00
10
01
00
10
11
11
01
11
00
01
01
00
10
10
00
10
10
00
10
10
00
10
00
00
00
00
10
00
00
10
10
00
01
01
10
10
01
11
10
01
01
01
00
11
11
10
00
00
01
11
00
11
01
00
10
00
00
10
10
01
00
11
00
11
11
11
10
10
10
01
00
11
00
01
11
10
01
00
01
10
00
00
11
01
00
10
11
00
01
11
00
00
00
00
11
01
00
11
00
00
01
10
00
00
01
10
00
11
00
10
00
10
00
01
11
00
11
10
00
00
00
01
00
00
10
10
00
00
10
10
01
10
10
10
00
00
11
00
11
10
00
01
10
11
01
00
10
10
10
10
10
01
10
10
00
10
10
10
00
01
10
01
10
11
01
00
01
00
10
10
10
00
10
10
00
00
00
00
11
01
01
00
00
10
00
00
10
01
10
00
00
10
11
01
01
01
10
10
10
10
01
01
11
00
10
00
00
10
10
00
01
10
01
10
10
10
10
00
00
10
11
01
10
10
11
10
00
10
11
00
00
01
11
01
01
00
10
00
11
10
00
00
11
00
00
11
11
10
10
01
10
10
00
10
10
11
11
01
00
00
10
10
11
11
01
00
10
00
00
10
00
01
10
01
00
11
11
00
00
00
00
11
00
00
10
10
00
00
10
01
10
11
00
11
01
00
01
10
10
00
10
10
01
11
10
01
10
00
00
01
10
00
01
11
00
00
10
00
11
00
10
01
00
01
01
00
01
10
00
01
01
10
00
01
10
10
10
01
00
11
00
10
01
00
10
01
00
11
10
00
00
00
10
11
00
11
10
11
00
01
00
10
01
00
00
10
00
01
11
10
10
00
01
10
00
00
10
01
10
11
11
01
00
00
00
10
01
01
10
10
00
00
00
00
01
10
10
00
10
10
11
00
00
11
10
11
01
10
11
00
00
11
10
01
00
10
10
00
10
10
11
00
10
10
00
10
00
10
10
01
01
10
10
10
10
10
00
01
10
00
01
10
00
10
11
11
10
11
10
00
00
11
01
10
00
00
01
00
10
10
10
00
10
10
10
11
00
11
10
00
00
10
00
10
00
01
00
10
01
01
01
00
10
10
01
10
10
10
00
10
10
10
11
10
10
01
10
11
10
10
10
00
10
00
00
10
10
10
00
00
00
11
10
11
00
10
10
00
11
00
00
00
00
10
00
11
10
00
10
00
11
01
11
11
11
00
01
10
00
01
10
10
00
10
10
10
00
01
00
10
10
00
00
00
11
01
00
01
11
00
10
11
00
00
00
00
10
11
11
10
01
00
10
11
00
10
10
10
10
11
01
10
00
01
00
00
11
01
11
11
00
10
00
01
10
11
01
01
00
10
10
10
00
10
10
00
10
10
01
00
00
00
11
01
11
11
00
11
00
01
10
11
00
10
00
00
00
10
10
00
00
01
11
10
10
11
10
00
10
01
01
10
10
10
00
10
00
01
10
10
10
10
11
00
10
00
10
10
11
11
11
10
11
10
00
10
01
01
00
10
10
10
00
11
10
01
10
10
01
01
00
10
00
01
10
01
01
10
01
00
00
11
11
10
11
00
00
00
10
00
00
10
00
10
00
10
00
00
11
01
00
10
00
10
11
01
10
11
10
01
10
10
00
00
00
11
00
00
01
11
11
01
00
00
00
00
01
10
10
10
01
10
11
01
01
11
00
10
10
00
00
10
11
11
01
11
00
00
10
11
00
01
11
00
10
10
11
10
11
01
00
00
11
10
01
11
11
11
01
01
01
00
10
00
00
11
10
11
00
00
00
11
01
10
00
00
11
10
01
01
11
11
00
10
00
10
01
01
10
10
10
01
10
11
01
11
10
01
11
00
11
11
00
11
01
01
00
10
11
10
10
00
00
00
11
10
10
10
11
10
10
10
01
00
01
01
10
00
11
00
10
10
11
00
00
10
10
10
10
01
00
10
00
10
01
00
01
01
01
10
10
10
00
00
10
11
10
01
01
11
11
10
10
00
00
11
00
01
00
10
10
10
00
00
01
01
01
01
11
01
11
10
10
00
01
01
11
11
00
10
00
10
00
10
10
01
11
10
00
11
00
00
10
10
10
11
00
01
11
00
00
00
00
10
10
00
01
11
10
11
00
00
00
01
10
00
10
10
00
01
01
10
11
01
01
00
00
00
00
11
00
11
10
11
00
10
10
01
11
10
11
00
11
01
10
01
10
01
00
11
10
00
01
01
00
11
11
00
10
10
10
01
10
10
11
00
00
00
11
10
11
00
00
00
00
10
10
10
00
10
11
11
10
01
00
01
10
11
00
10
10
01
00
10
01
01
01
01
11
00
01
10
11
00
01
00
10
11
10
01
00
00
10
00
00
10
01
11
01
11
00
11
00
10
10
00
01
10
00
00
01
10
10
01
00
11
10
00
11
11
00
01
11
01
01
00
11
01
00
10
00
00
10
01
11
00
00
01
00
10
01
00
10
00
11
10
10
00
01
10
11
01
00
10
11
01
00
11
10
10
10
11
00
00
10
10
01
10
00
00
00
00
10
10
10
11
10
00
11
00
00
01
01
00
01
10
10
10
00
00
10
10
01
01
10
00
11
00
00
10
00
00
10
10
00
10
00
10
01
10
10
00
11
00
00
01
01
00
11
11
10
10
00
01
10
00
00
10
11
10
10
00
10
00
00
10
00
01
10
01
11
00
00
11
10
11
00
10
01
00
11
00
00
11
11
10
01
00
11
11
01
00
11
00
10
01
01
10
10
11
00
10
00
10
10
11
00
10
10
00
00
00
11
01
00
11
11
00
10
01
00
11
00
01
00
11
10
10
01
10
11
01
00
10
01
10
10
01
01
00
10
10
00
00
01
11
10
10
00
11
10
00
10
00
10
00
00
00
00
11
10
11
10
00
10
01
00
11
10
00
11
10
10
00
01
10
10
11
11
11
01
01
00
10
11
11
10
01
00
10
10
00
00
01
01
10
10
11
00
01
00
10
11
11
11
10
10
00
10
01
10
10
00
10
00
00
00
11
10
00
00
01
00
01
01
01
00
01
10
10
10
11
11
01
10
10
11
00
10
11
01
00
11
11
10
10
00
10
00
00
10
10
00
10
10
00
10
10
10
00
11
11
00
01
10
00
10
10
10
10
01
01
00
00
11
00
00
10
10
11
00
00
01
00
01
10
10
01
01
00
10
11
00
01
00
10
00
00
10
00
00
10
11
10
00
01
11
00
00
11
10
00
10
10
00
10
10
10
11
01
11
00
01
00
01
00
10
10
00
01
10
01
00
00
10
00
10
10
11
00
10
10
01
10
10
11
00
00
00
10
10
01
10
10
10
00
10
10
00
11
11
00
10
10
10
10
00
00
10
00
00
10
10
11
00
10
00
01
11
10
11
01
10
01
11
10
01
11
10
00
00
00
10
10
00
11
10
01
10
10
00
10
00
01
11
10
01
10
11
00
00
00
00
10
10
00
10
10
00
00
01
00
10
01
11
10
10
10
01
00
10
10
10
11
10
11
01
10
11
10
01
10
11
00
10
10
11
00
00
00
10
00
00
10
11
10
10
11
01
10
11
01
00
01
10
00
00
11
10
00
00
10
11
11
11
00
01
00
00
00
10
10
00
00
10
11
10
11
11
00
10
10
10
10
11
00
00
11
10
11
00
11
11
01
00
00
10
10
00
11
11
00
11
01
00
00
00
10
01
00
10
11
10
10
00
10
00
10
00
00
10
00
00
00
00
00
10
00
01
10
11
10
10
10
10
10
00
10
10
10
01
11
10
01
01
00
00
10
00
11
10
00
10
11
10
00
10
10
01
00
10
10
10
10
01
10
10
00
10
01
00
00
00
10
10
01
10
10
01
00
00
10
11
00
10
10
11
00
10
10
01
10
01
11
01
10
11
00
10
10
01
00
10
10
11
11
00
01
01
10
10
10
00
01
00
10
10
00
00
10
00
00
10
11
01
01
10
00
10
00
11
00
01
10
10
10
10
00
01
00
10
10
11
10
11
00
01
10
01
10
00
11
10
11
01
00
10
00
00
00
00
10
10
00
10
01
01
01
01
10
00
10
00
10
00
01
10
10
01
00
11
01
10
00
00
10
00
11
11
00
00
10
01
10
11
00
00
01
00
01
10
11
01
10
00
01
00
10
11
01
01
10
00
11
00
01
01
10
10
10
01
00
00
00
10
11
01
10
10
10
11
00
01
11
10
01
00
01
00
11
11
01
10
10
11
00
01
11
00
00
00
00
10
10
00
00
10
01
00
10
10
00
00
10
10
00
01
01
11
10
01
01
00
11
10
01
10
00
01
10
11
00
01
11
00
00
10
01
01
00
00
01
10
10
10
10
01
10
10
01
00
00
01
10
10
00
10
01
10
11
00
00
01
10
01
01
10
10
00
10
00
01
10
01
10
11
10
10
00
11
01
00
11
10
11
00
00
00
00
11
10
00
00
00
01
00
10
11
00
01
10
10
10
11
10
01
11
10
00
00
01
10
10
00
00
00
10
01
00
01
10
10
10
10
00
10
10
00
00
00
10
00
10
10
00
10
00
11
00
01
10
01
10
00
01
00
10
00
00
11
10
11
10
11
01
00
00
10
11
01
01
11
01
00
00
00
11
00
00
10
11
10
10
10
00
10
01
00
10
00
11
10
11
10
00
10
10
01
10
10
11
01
00
01
10
11
11
00
10
00
01
10
10
00
01
10
11
01
00
11
10
00
00
10
10
00
00
00
10
10
00
10
10
11
01
01
11
10
10
10
11
01
00
11
10
00
01
10
10
00
00
10
11
10
00
10
11
00
10
00
00
00
10
01
10
10
00
00
11
00
11
00
01
11
01
10
10
01
00
01
10
10
01
00
01
10
10
00
11
00
00
10
00
00
01
11
11
11
01
10
10
00
00
01
10
10
01
10
10
10
11
01
10
10
00
00
10
10
00
01
10
11
00
00
10
01
00
10
00
00
11
11
11
00
10
00
11
10
00
00
10
10
10
01
10
00
10
11
10
00
10
00
00
10
00
00
01
11
11
00
10
00
10
00
00
10
11
01
00
11
11
01
01
00
10
10
10
10
00
01
00
11
10
01
11
01
10
10
00
01
00
10
10
00
01
10
01
11
10
00
01
00
10
00
00
10
10
01
10
00
10
01
11
10
00
10
01
00
00
00
00
10
11
00
11
10
01
00
01
10
01
01
10
11
01
11
00
01
11
11
00
00
00
00
10
11
00
01
10
11
00
01
00
11
00
01
00
10
00
10
10
00
10
11
10
01
11
10
11
10
10
10
01
01
01
10
11
10
00
10
11
10
01
00
10
01
00
01
11
10
00
00
00
10
10
01
10
10
00
10
10
01
10
10
10
01
10
00
11
10
01
01
01
10
10
10
00
00
10
11
00
00
00
10
11
00
00
10
00
00
01
01
11
01
00
10
11
01
10
11
00
01
11
10
01
01
10
10
10
00
10
00
00
11
11
11
11
11
10
01
00
10
01
00
11
10
01
00
10
10
10
11
10
10
00
00
00
10
11
10
00
11
00
11
11
10
01
00
11
00
10
00
01
00
10
00
00
10
00
00
11
00
00
10
10
10
00
00
10
00
10
10
01
10
01
01
10
10
11
01
01
01
10
00
00
11
11
10
00
00
00
10
00
10
10
00
10
10
00
10
11
10
01
00
10
00
11
00
01
10
10
00
00
00
11
00
01
11
10
00
01
10
11
10
00
10
11
00
00
01
00
11
00
11
11
10
10
10
10
00
00
10
00
11
10
11
00
10
00
11
00
00
00
11
10
11
00
00
01
10
00
01
01
10
10
01
10
01
00
11
10
10
01
01
00
11
01
01
10
01
00
11
10
00
11
10
01
01
11
11
10
00
00
10
10
10
01
00
00
00
00
10
10
00
10
00
11
00
11
10
00
00
10
10
00
01
10
10
01
00
00
00
00
10
10
10
00
01
10
10
00
00
11
00
00
10
10
10
00
10
10
01
01
10
00
00
00
10
00
01
11
00
11
10
00
10
01
00
00
10
10
11
00
11
00
11
10
11
11
11
10
01
10
11
01
10
00
01
10
10
10
00
10
10
00
10
01
01
10
01
10
00
01
11
11
00
01
00
11
00
00
11
10
11
01
10
00
11
01
10
10
00
11
11
10
00
00
10
11
11
10
10
00
10
10
00
00
11
10
00
01
00
10
00
11
10
00
10
00
00
00
01
11
01
11
10
00
10
10
00
00
10
10
00
00
10
00
10
10
00
10
00
10
01
11
01
01
10
10
01
11
01
00
10
10
00
00
10
01
00
00
11
00
10
00
11
00
00
10
10
10
00
10
01
11
00
10
01
10
00
00
01
11
11
00
11
00
11
01
10
10
00
11
10
00
10
01
00
11
10
01
00
10
00
11
10
00
00
10
10
00
10
10
10
01
10
10
00
11
00
11
10
00
10
10
10
11
10
11
10
01
01
11
00
00
10
00
11
10
01
10
00
10
00
01
00
11
00
10
01
10
00
00
10
10
01
11
11
10
10
11
00
00
10
00
00
10
10
11
00
00
01
10
10
01
01
00
01
11
00
01
10
10
11
10
01
00
11
11
10
00
00
01
01
00
10
01
11
11
01
11
10
10
10
00
10
00
01
10
00
00
00
00
10
10
10
00
00
10
11
11
01
00
00
10
10
10
00
01
10
10
01
10
10
10
01
00
00
10
00
11
11
10
00
11
00
00
10
10
10
00
00
11
10
00
10
10
01
10
10
11
01
10
10
01
01
10
10
11
11
10
00
00
11
10
01
00
01
00
00
11
00
11
10
10
01
00
00
10
10
00
10
00
10
00
11
10
10
10
10
10
10
00
00
11
11
10
10
10
00
10
10
11
11
00
00
01
01
10
10
11
00
10
00
10
10
00
11
00
11
10
10
00
00
10
10
11
00
00
11
10
11
10
10
00
10
10
10
01
10
00
01
11
00
10
10
00
00
11
10
00
00
10
00
10
00
01
01
10
10
01
11
10
01
10
11
01
00
01
10
00
00
11
10
10
01
00
01
00
10
00
00
11
00
00
10
00
01
11
11
00
00
10
00
00
10
11
00
00
10
10
11
00
11
11
10
10
10
10
01
00
10
00
00
10
10
10
00
10
10
00
00
01
10
10
11
00
10
10
10
00
00
10
00
11
11
11
01
10
01
01
00
10
11
01
01
00
10
10
00
10
00
01
11
10
11
10
11
10
10
01
01
10
10
10
10
00
11
00
01
10
10
01
01
10
00
10
01
00
10
00
10
10
00
01
01
01
10
10
01
10
10
11
01
00
00
00
00
11
00
00
10
10
10
10
01
10
11
00
00
10
10
00
10
00
00
10
00
10
00
00
10
10
10
00
10
00
00
00
11
10
00
11
11
00
01
00
10
01
10
01
00
10
01
00
00
11
00
00
11
01
10
00
01
10
01
00
10
00
00
11
00
00
10
10
10
11
00
01
01
11
10
11
00
11
11
00
11
11
10
00
00
10
00
00
10
10
00
00
11
00
01
11
11
11
11
11
00
00
11
10
01
00
10
10
10
00
11
10
00
00
00
00
11
01
10
11
11
10
00
00
01
10
00
00
10
10
10
00
01
10
00
10
00
00
00
01
10
10
11
00
00
11
00
10
00
00
10
00
00
10
00
10
10
01
01
10
00
00
01
11
10
00
10
11
00
00
01
10
00
01
00
10
10
01
10
00
10
10
01
00
10
10
10
00
10
10
00
00
10
10
00
10
10
00
10
00
00
01
00
10
10
01
11
01
11
10
11
00
00
01
00
10
10
00
00
10
10
10
00
00
10
00
01
00
10
00
01
10
00
01
11
00
10
01
10
00
10
10
00
10
00
11
11
00
00
10
10
01
00
11
11
10
10
00
11
00
11
10
00
00
00
01
11
10
00
00
10
11
10
01
11
01
00
01
00
10
00
01
10
00
00
10
00
00
10
10
01
10
10
00
00
01
00
01
11
01
00
00
01
00
00
10
01
00
10
00
00
11
10
00
00
01
10
00
00
01
01
01
01
11
10
10
11
10
11
01
00
11
10
01
10
11
00
10
11
01
10
00
01
00
10
11
10
00
00
00
10
10
10
00
01
00
01
00
10
10
10
00
11
00
00
00
00
10
00
00
00
11
11
00
01
00
01
11
10
01
11
10
00
10
11
11
00
01
00
00
10
00
01
10
01
00
00
01
00
10
11
01
00
10
01
00
01
00
10
10
00
00
01
01
10
10
00
00
01
10
10
10
10
10
00
10
11
10
11
01
11
10
00
10
01
11
10
00
01
10
10
00
11
11
01
10
10
00
01
10
10
11
10
00
00
10
10
11
00
00
00
00
01
10
10
11
00
01
10
00
10
10
00
00
00
00
00
11
01
00
01
00
11
11
00
00
11
10
00
10
01
10
01
00
10
10
00
01
01
01
10
11
00
11
01
11
10
01
10
00
01
11
00
00
00
10
00
01
10
10
00
00
01
01
01
11
10
11
00
00
01
10
10
01
00
10
10
00
10
00
11
10
01
11
00
10
01
01
10
01
00
10
00
11
00
11
10
00
10
10
00
11
00
00
00
00
10
01
01
10
10
00
10
10
00
00
00
01
10
00
11
01
10
00
10
00
10
10
01
11
11
01
10
11
11
10
00
10
00
00
10
01
01
00
10
11
10
00
10
10
11
10
01
00
00
10
01
10
00
00
11
11
10
10
10
00
00
10
00
00
10
11
10
00
10
11
00
00
00
00
00
10
10
10
10
01
01
10
11
11
11
11
01
01
01
10
10
10
01
01
11
11
01
00
10
01
11
00
10
10
01
10
10
01
11
10
00
00
10
01
01
01
00
00
10
10
11
00
10
10
01
11
10
10
00
01
10
00
10
10
10
00
00
00
10
11
01
10
10
11
00
01
00
10
10
01
00
00
00
00
01
00
10
10
11
00
11
00
01
01
10
00
01
11
10
00
00
00
00
01
10
00
10
11
10
10
01
10
11
00
11
00
01
10
10
10
00
10
00
00
10
00
11
10
01
11
01
10
11
00
00
00
00
10
10
01
10
00
00
10
10
10
01
11
10
00
00
10
10
00
01
00
10
00
10
11
10
11
01
00
00
11
10
00
10
11
11
01
00
11
00
10
10
01
10
00
00
10
00
00
10
10
00
00
11
10
01
10
11
01
00
00
00
10
11
10
00
11
10
00
11
00
00
10
10
10
10
00
10
10
00
10
01
00
00
01
00
11
00
01
10
11
11
00
10
10
00
11
00
00
10
11
00
01
00
01
00
00
10
01
00
11
10
01
10
00
01
11
10
00
10
11
01
00
11
10
01
01
10
01
10
10
10
10
00
00
10
11
00
10
11
00
00
11
10
00
00
01
10
10
10
01
01
11
01
11
10
11
01
00
10
10
00
00
00
11
10
10
10
10
00
10
00
00
11
11
01
11
00
00
10
00
10
10
00
01
10
01
10
11
11
10
11
00
00
11
10
00
00
00
11
00
10
10
00
11
00
11
10
00
10
00
00
11
00
00
10
11
10
01
00
11
01
01
11
01
11
00
01
01
01
10
10
10
01
01
00
01
10
00
00
10
10
00
11
11
00
00
10
10
10
11
11
00
00
01
01
01
00
00
10
10
00
00
10
10
00
00
00
00
00
00
11
00
10
00
10
00
00
10
11
10
00
10
00
01
00
00
00
10
00
00
10
00
00
10
11
00
11
01
00
10
00
00
11
00
01
10
10
10
01
10
11
00
10
00
00
10
11
00
01
10
00
00
10
00
00
01
11
10
01
10
10
10
01
00
10
11
11
00
00
00
10
10
11
00
01
11
01
00
01
11
10
10
01
10
11
10
00
01
10
10
10
00
00
00
10
10
01
00
00
01
01
10
10
10
00
00
10
01
10
11
11
01
10
10
00
01
11
00
00
10
10
00
00
01
10
10
10
00
11
10
00
00
10
00
11
10
10
11
10
01
01
10
11
00
10
00
11
11
10
01
00
11
10
10
01
00
01
10
11
01
01
00
11
00
00
01
01
10
10
00
01
10
01
01
01
01
10
01
00
10
10
10
00
00
00
11
11
00
10
10
00
01
10
10
00
10
10
01
10
11
00
10
10
11
10
00
10
10
11
01
00
10
01
10
10
01
11
11
11
10
00
10
10
00
00
00
00
00
11
10
01
10
11
10
01
10
11
11
00
00
10
11
00
01
10
00
10
10
01
01
00
11
11
10
00
10
00
00
10
11
01
10
10
10
00
10
00
11
11
01
00
11
11
00
00
00
10
00
01
10
11
00
01
01
00
10
11
11
00
00
11
00
11
00
00
10
11
10
01
10
01
00
10
10
10
10
01
01
11
10
11
00
00
11
11
10
01
11
10
01
00
00
11
10
00
11
00
00
11
00
10
10
10
11
10
01
01
10
11
00
11
10
11
10
00
10
10
01
00
01
00
10
10
10
11
10
10
00
00
10
01
10
10
10
00
10
00
00
00
11
11
10
10
01
11
10
10
10
00
01
00
01
00
00
11
01
10
11
00
00
00
10
10
00
00
10
00
00
10
10
01
11
11
11
10
01
00
00
01
10
10
10
10
01
00
10
10
10
10
00
10
10
10
00
11
10
00
01
01
11
00
10
01
00
10
10
00
00
00
10
10
11
10
00
00
10
01
10
00
11
11
00
11
10
11
11
00
00
00
11
00
00
10
11
01
00
10
11
10
10
00
11
00
00
11
00
00
11
10
01
10
01
01
10
10
01
10
11
01
00
00
01
10
01
01
01
11
10
00
00
11
10
11
10
01
00
00
11
11
00
10
00
00
10
10
11
01
00
00
00
10
10
00
00
00
11
00
00
11
01
10
10
01
10
11
11
01
01
10
01
01
00
00
10
10
00
00
11
00
01
00
00
00
11
00
01
00
10
10
00
10
11
00
00
10
01
01
00
10
10
00
10
00
00
10
10
00
01
10
11
00
10
10
00
00
10
11
11
10
10
01
11
10
10
10
00
00
11
11
01
00
11
10
10
10
00
11
10
00
01
00
00
00
11
01
00
11
00
11
10
10
10
00
10
00
01
10
11
00
10
01
00
00
11
11
00
11
00
01
00
11
10
11
11
00
10
10
00
00
11
00
01
10
10
00
11
11
00
00
10
10
00
10
11
01
01
00
11
11
10
00
00
11
00
11
10
00
00
11
10
00
10
00
11
10
01
10
10
10
10
10
00
10
11
00
01
10
01
11
11
00
01
00
11
00
00
10
10
10
00
01
10
10
01
10
11
11
00
10
11
00
00
00
10
11
10
00
01
00
00
10
11
10
10
10
00
10
11
10
11
00
00
00
11
10
00
01
10
01
10
11
10
00
00
00
10
10
10
10
11
10
11
01
00
01
00
00
10
00
00
00
11
11
11
00
00
10
01
10
10
01
01
00
11
00
10
10
00
11
11
00
00
10
00
11
10
00
00
01
10
00
00
11
01
10
10
10
11
01
10
11
00
00
10
11
00
00
11
10
00
00
01
10
01
10
10
01
00
01
11
01
00
11
00
00
11
11
00
01
10
10
01
00
11
10
00
10
00
00
00
00
10
10
00
00
10
11
00
00
10
00
00
10
10
11
00
00
11
10
00
01
01
00
10
10
10
10
00
10
10
00
01
00
00
00
00
01
10
00
00
10
00
11
10
00
01
10
10
10
11
00
01
01
11
01
01
10
00
10
11
11
01
00
00
00
11
00
10
11
10
10
00
00
00
10
10
01
00
10
00
10
11
10
11
00
11
11
00
11
10
11
10
10
00
00
10
11
01
00
11
00
00
11
10
11
00
10
01
00
11
11
10
00
00
00
10
01
00
11
10
00
11
01
10
10
10
00
00
11
00
10
11
01
00
00
00
00
00
10
00
10
11
10
11
01
00
00
01
10
11
00
00
10
10
00
10
01
00
01
00
10
10
10
10
11
10
00
11
01
00
00
11
10
11
10
01
10
11
10
00
10
10
11
00
00
10
00
00
00
10
10
00
00
00
11
11
11
10
01
11
00
01
10
11
00
00
10
00
00
01
11
10
00
00
11
01
10
00
11
10
00
10
00
11
01
00
10
11
00
10
10
01
00
10
10
10
11
11
10
10
01
01
00
11
11
00
00
00
10
10
00
00
10
10
10
00
01
11
01
11
00
10
00
01
01
00
01
10
10
00
00
00
10
10
00
00
01
01
00
11
00
10
01
01
11
00
11
00
00
00
11
10
01
00
11
11
10
00
00
11
00
10
10
00
10
01
00
11
00
10
01
11
10
11
00
00
00
00
00
10
00
01
11
10
00
11
10
11
01
01
00
10
10
00
00
11
10
00
01
10
00
11
01
11
10
00
10
10
00
11
00
00
01
10
11
10
10
01
00
00
10
11
01
11
10
10
00
01
11
00
01
01
01
01
00
00
00
00
10
10
11
10
00
01
11
01
10
10
00
00
11
00
10
10
11
01
00
10
10
10
10
00
01
00
10
10
00
11
10
00
01
11
10
10
11
00
00
10
11
00
00
10
00
10
10
01
00
10
00
01
00
00
01
11
11
11
10
01
01
00
00
00
10
10
10
11
01
00
11
00
10
10
10
00
01
10
11
00
00
11
11
00
01
10
11
00
00
00
10
01
00
10
11
10
00
00
01
11
11
00
01
10
10
00
10
11
11
10
01
00
10
11
00
00
01
01
10
10
00
10
10
10
00
01
10
10
10
00
01
00
11
11
00
11
11
10
01
10
00
00
11
11
01
00
10
11
00
11
11
10
00
01
00
10
11
01
10
10
00
10
10
00
00
01
10
11
10
00
01
10
10
00
00
00
00
11
00
10
10
00
01
10
10
10
10
10
00
10
10
00
00
00
10
01
11
00
00
10
10
00
10
10
00
01
00
10
00
10
11
10
11
00
10
10
10
00
10
00
00
00
10
01
11
10
00
01
11
00
11
00
01
10
01
00
01
10
10
00
00
10
10
01
01
11
10
00
01
01
01
10
10
00
10
00
11
00
11
01
00
00
10
10
00
01
10
00
00
10
01
00
01
10
11
10
10
10
10
00
00
00
10
10
10
00
01
00
01
10
00
10
10
01
00
10
10
10
01
00
10
11
00
00
10
10
11
00
01
10
11
00
00
11
00
01
10
10
00
00
10
10
00
01
00
00
11
00
11
00
01
10
10
11
10
00
00
01
00
10
10
00
10
10
10
00
00
10
10
10
10
10
00
10
10
00
10
10
11
00
00
00
10
10
10
00
00
10
10
10
00
11
00
00
00
00
00
10
10
01
10
10
10
10
10
01
11
00
10
10
00
00
10
10
01
10
10
11
11
00
10
00
00
11
11
00
11
00
00
01
11
11
00
00
11
01
00
10
10
00
00
01
00
10
00
00
10
00
10
10
00
11
01
10
00
00
11
10
10
01
00
10
10
00
11
11
00
00
11
10
01
11
01
10
10
10
00
11
10
00
01
00
01
01
01
10
11
00
11
01
01
00
10
00
01
10
10
00
00
10
00
10
10
00
10
01
10
10
10
10
00
00
01
01
11
01
01
10
10
10
00
01
00
10
10
01
10
11
10
01
11
11
00
01
10
11
00
01
11
10
11
11
10
00
11
01
10
01
01
10
00
00
00
11
10
10
01
00
00
11
11
10
01
11
00
11
10
11
00
01
10
11
00
00
00
10
00
01
10
00
00
10
00
00
00
10
01
01
11
00
11
10
00
00
00
01
10
00
00
01
10
00
00
01
10
11
01
10
01
00
11
00
10
10
00
11
10
01
11
11
00
00
10
10
01
00
11
10
01
00
10
11
00
11
01
00
00
01
11
11
11
01
11
11
11
00
01
10
11
00
00
11
01
00
01
10
01
11
10
00
01
00
11
10
00
11
00
00
11
11
01
10
01
10
01
11
00
01
10
10
10
10
10
10
00
00
00
01
00
00
11
00
10
00
00
10
00
11
11
11
00
01
00
10
01
11
11
00
01
10
00
00
10
10
00
00
10
00
10
11
01
10
10
01
11
01
00
11
10
01
00
10
00
01
00
10
01
01
00
11
11
10
10
01
10
01
01
10
10
11
01
11
01
10
01
01
11
00
10
10
01
10
01
00
10
01
10
00
11
11
01
10
11
01
00
11
10
10
10
10
00
10
11
00
10
10
11
11
00
10
10
10
10
00
01
10
01
01
10
10
00
00
01
10
11
10
10
00
11
10
00
10
10
11
10
10
10
00
10
00
01
00
01
10
11
10
11
10
10
00
00
00
00
10
10
10
01
00
11
10
00
10
01
00
10
00
00
10
00
10
10
11
10
00
10
01
00
00
01
00
00
01
10
00
00
11
00
00
11
10
10
10
00
11
10
01
00
10
01
00
11
10
01
00
10
00
11
10
10
01
00
10
10
11
01
10
00
10
10
10
00
00
01
00
10
00
10
10
00
10
01
10
00
11
10
00
01
01
11
10
10
01
01
00
00
10
11
10
00
00
10
10
11
00
00
11
10
00
11
00
00
01
01
10
01
00
10
10
00
00
10
10
00
00
10
00
10
00
10
10
10
00
11
00
10
00
00
01
10
10
10
10
11
00
10
10
10
00
00
11
00
10
11
01
01
10
10
00
10
00
10
01
00
10
11
01
10
00
10
10
10
10
10
00
00
10
01
11
01
10
10
11
10
11
00
11
11
00
01
10
10
00
11
00
00
01
11
10
00
00
01
00
10
10
01
00
11
10
00
00
00
00
00
01
10
10
10
10
01
01
00
01
00
11
00
11
01
00
01
10
00
10
11
00
10
10
01
10
11
00
11
00
01
10
01
00
01
01
10
11
11
10
11
10
01
01
01
01
00
11
10
01
01
10
10
01
10
10
11
00
11
01
01
10
10
00
00
00
00
10
11
00
00
11
00
11
00
00
10
11
01
10
00
01
00
10
10
00
10
01
00
10
10
01
00
10
00
00
10
10
00
10
00
00
00
10
00
10
00
00
01
10
00
10
10
01
11
10
01
11
00
01
11
10
10
10
10
01
00
01
00
11
10
01
11
11
01
00
10
10
00
01
01
11
11
10
10
10
00
10
01
00
10
11
11
10
00
10
01
00
01
10
10
11
10
00
11
00
00
10
00
01
01
00
00
00
10
01
10
10
10
10
11
10
01
00
00
01
01
10
10
00
01
10
00
10
10
10
10
00
00
11
10
11
11
00
11
10
00
00
00
10
10
00
00
11
11
00
00
00
00
01
10
01
01
01
10
11
00
10
00
10
10
00
00
10
11
10
11
00
10
10
10
10
00
00
01
10
10
10
10
10
11
01
01
10
10
00
00
11
00
10
01
00
11
10
11
10
01
01
00
10
10
11
11
00
01
11
10
00
10
00
11
00
00
00
10
11
01
00
10
10
01
11
10
01
00
10
10
10
11
01
00
10
10
10
10
01
00
01
10
10
11
10
00
10
11
01
01
00
00
00
10
00
01
10
10
00
01
10
01
10
00
10
00
10
10
00
00
10
00
01
10
10
10
01
00
10
10
10
00
11
11
01
00
01
10
11
01
00
10
10
00
11
10
00
00
01
10
00
11
00
10
10
00
11
00
00
10
01
00
10
10
00
00
01
00
00
00
11
11
11
10
00
10
10
10
01
10
10
00
10
10
10
10
00
11
01
00
10
11
01
11
10
00
00
00
11
10
00
01
00
10
10
11
01
10
10
11
10
10
00
11
10
10
00
00
00
11
00
10
10
01
10
00
10
10
11
10
10
01
10
10
11
00
01
01
10
10
00
11
10
10
00
11
11
10
11
01
00
00
00
01
10
11
00
00
10
10
11
10
10
01
01
00
00
10
11
11
00
00
00
10
01
00
11
11
11
10
00
10
11
10
01
00
10
00
10
11
01
10
01
00
01
11
01
00
00
01
10
00
10
00
10
00
10
01
10
11
11
01
01
00
11
11
01
01
10
10
00
10
11
11
00
00
10
10
10
10
00
00
10
11
11
01
00
11
10
01
10
11
00
10
10
00
10
01
00
10
00
00
10
01
00
00
10
10
00
01
00
11
01
01
10
10
10
01
00
10
11
10
11
00
00
10
10
10
00
10
00
10
00
00
11
10
11
01
00
00
00
10
10
00
00
10
11
01
01
10
11
00
01
01
10
10
01
00
10
10
00
10
01
01
01
11
10
00
11
10
11
01
01
11
11
00
00
00
10
10
10
11
00
00
00
11
10
11
10
01
00
11
11
00
10
00
01
11
10
00
10
10
10
00
00
10
00
01
00
00
10
00
00
00
11
11
10
01
01
10
00
00
11
10
01
10
10
00
00
00
10
10
01
00
10
10
10
00
00
00
10
00
10
00
00
00
10
10
11
10
10
10
11
10
01
11
00
00
11
11
01
10
11
01
01
10
00
10
10
00
10
11
01
00
00
11
01
10
00
10
11
00
00
00
00
11
00
01
10
11
00
01
00
11
10
01
11
10
11
00
10
10
00
00
01
10
10
11
01
00
01
10
10
10
01
00
00
11
10
01
00
10
11
00
00
10
10
00
10
00
10
10
01
00
01
11
10
01
01
00
10
10
10
10
00
00
10
00
11
10
10
00
01
00
01
10
10
00
10
00
01
10
10
01
10
00
01
00
01
01
10
10
10
01
11
00
00
00
10
01
01
11
11
11
00
01
00
10
01
01
10
10
00
00
10
01
10
00
11
10
11
10
11
00
01
10
11
00
00
01
10
10
10
00
00
00
00
10
10
00
00
00
11
10
10
10
10
10
11
00
10
10
00
11
10
01
00
00
10
11
10
10
10
00
00
00
10
00
10
10
11
00
00
01
00
10
00
11
00
00
00
10
11
01
11
10
00
00
10
10
10
00
00
11
10
10
01
10
01
01
11
00
01
10
00
10
10
11
00
00
10
10
00
10
11
10
00
10
00
10
01
11
11
00
11
10
10
00
10
11
00
00
00
11
10
00
10
00
10
00
10
10
10
00
10
11
00
10
11
01
10
10
00
11
11
10
00
00
10
01
00
00
11
11
10
11
01
00
00
00
00
10
00
00
01
01
01
11
10
11
00
01
10
10
00
01
10
10
01
01
10
11
10
01
00
10
10
00
00
10
01
01
00
10
10
10
00
00
10
00
01
10
10
10
10
10
01
00
10
11
00
11
10
01
01
10
00
00
10
10
11
10
00
01
11
10
00
00
10
10
00
11
01
00
10
10
01
10
10
00
10
01
10
10
01
01
00
10
00
00
01
01
11
10
00
00
01
01
00
10
10
10
00
10
00
01
00
11
00
11
00
01
10
00
10
10
00
00
10
11
00
00
01
00
10
00
11
10
10
01
00
00
01
01
11
01
10
10
00
00
01
00
00
10
10
00
00
10
10
11
01
01
00
10
01
10
10
00
10
10
01
10
00
00
11
10
11
10
00
10
01
01
00
10
10
10
10
00
10
00
00
01
10
10
01
00
11
01
11
11
01
00
00
01
10
00
10
11
00
10
10
00
10
10
10
10
10
10
00
00
00
11
00
00
11
00
11
01
10
11
10
01
10
00
00
10
10
00
00
10
00
10
11
00
00
10
11
11
10
11
11
11
00
10
01
10
10
00
10
10
01
00
00
11
10
10
01
01
10
01
00
10
00
10
01
10
11
01
10
00
10
00
01
10
10
10
00
10
11
11
10
00
00
00
01
00
00
00
11
11
00
01
10
11
11
11
00
11
00
00
11
10
00
11
01
00
00
01
11
11
10
00
00
10
00
00
00
11
00
01
10
01
01
11
00
00
00
10
11
01
10
11
00
00
00
10
10
00
01
10
00
00
01
00
00
10
10
10
10
11
00
00
00
01
11
00
00
00
10
10
01
00
11
01
10
11
00
00
10
11
01
00
10
11
00
11
00
00
00
11
01
01
00
01
00
01
00
00
00
10
10
10
10
00
01
10
10
10
10
10
00
01
10
10
10
11
00
11
10
01
10
11
11
10
00
00
10
10
01
01
10
11
10
01
01
10
11
00
00
10
00
01
00
11
10
01
10
00
01
10
00
10
10
00
10
10
10
01
00
00
10
10
10
01
10
00
11
10
00
10
00
10
11
00
00
10
00
00
10
00
10
01
01
01
00
11
01
00
10
00
00
00
11
11
01
01
10
10
10
00
11
11
01
11
10
11
00
00
00
00
11
11
00
01
11
10
10
00
01
01
00
10
10
10
10
01
00
11
10
10
01
00
01
10
11
00
10
10
00
10
11
01
00
01
01
10
10
00
10
10
10
00
01
00
00
10
10
10
11
00
11
10
00
00
10
00
00
00
00
10
10
01
00
10
11
00
11
11
01
00
10
00
00
10
00
00
10
10
11
00
10
10
00
10
10
00
00
01
10
11
00
10
10
00
11
00
11
01
10
11
11
10
10
00
00
00
00
10
11
00
10
10
11
01
00
10
10
10
00
11
01
01
11
11
10
10
11
00
00
11
10
01
00
11
11
01
01
01
00
01
01
00
10
10
00
11
10
00
11
10
11
00
00
10
10
00
00
00
01
10
11
00
00
10
11
00
00
00
10
00
10
01
10
00
00
00
11
10
00
01
00
10
01
11
00
10
10
10
10
01
00
11
10
00
11
00
00
01
11
11
10
11
01
10
11
10
11
11
11
00
10
11
11
01
01
01
00
10
01
11
01
00
01
10
00
00
11
10
00
10
00
00
11
10
00
00
10
11
10
01
11
10
01
10
11
00
11
10
10
10
01
01
00
10
10
10
10
10
11
00
10
01
00
10
00
00
00
11
10
00
00
10
00
10
10
10
00
11
10
00
00
10
01
10
00
00
00
00
10
01
01
00
11
10
10
11
00
01
10
00
01
10
11
10
10
10
10
00
00
10
10
00
01
11
11
11
00
10
11
10
01
00
11
11
10
11
10
10
00
01
10
10
00
10
10
11
00
10
00
00
10
00
10
00
10
10
00
00
01
01
11
10
00
01
00
01
10
10
11
00
01
10
01
00
11
11
10
01
10
01
00
10
10
01
00
10
10
00
01
10
10
01
01
10
01
10
11
10
01
00
11
11
00
11
11
01
01
10
10
10
00
00
10
10
01
00
10
00
00
10
01
11
11
10
00
11
11
10
00
10
11
00
00
00
01
11
11
01
01
10
10
00
10
00
01
10
00
10
00
10
00
00
01
10
11
01
00
00
10
01
01
01
10
10
10
00
00
01
11
10
01
11
00
01
11
10
11
10
00
10
00
10
11
00
00
01
00
11
10
00
10
10
00
10
10
00
11
10
00
10
10
10
10
00
10
11
00
01
00
11
10
00
00
01
10
10
00
00
01
00
11
10
11
10
10
11
11
01
00
00
00
11
11
00
10
10
11
00
00
00
01
10
10
00
01
11
10
00
00
11
10
00
01
11
11
10
00
00
11
00
01
10
10
00
00
00
10
01
01
10
10
00
10
00
10
00
10
10
00
11
10
11
00
00
01
01
01
11
00
10
10
00
00
00
10
10
00
10
11
01
11
11
11
00
11
10
00
00
10
01
01
11
11
00
11
10
00
10
00
00
10
11
10
10
00
01
00
11
00
01
10
10
10
10
11
01
10
10
10
00
00
10
10
11
01
00
00
10
00
00
10
00
10
11
00
01
00
11
11
10
01
01
11
10
01
10
11
00
00
01
11
11
01
00
00
10
00
00
10
10
11
00
00
00
10
00
00
11
00
11
10
00
01
00
01
10
11
00
00
01
10
11
00
00
10
00
01
01
10
10
01
01
00
00
00
11
10
00
00
00
11
00
01
10
11
00
01
00
10
11
00
01
10
10
00
00
00
11
00
00
11
01
10
10
00
00
10
00
00
10
11
10
00
00
11
01
10
11
01
10
11
01
11
11
10
01
01
00
00
10
11
00
01
11
10
01
01
00
10
01
01
00
10
01
01
00
10
10
01
10
00
00
11
00
10
10
10
10
10
00
00
00
10
11
00
10
00
10
10
01
10
11
10
10
00
00
00
10
10
01
10
11
10
11
11
00
00
01
00
10
11
01
10
00
10
00
00
00
00
10
00
00
00
11
10
11
01
00
10
00
01
10
11
00
10
10
01
10
00
10
00
00
10
11
10
00
11
00
10
00
10
10
00
00
01
10
10
00
00
10
10
10
00
10
10
00
00
01
11
01
01
10
00
00
01
10
01
10
10
00
00
11
01
00
11
00
10
01
10
11
00
00
10
10
01
00
01
00
10
00
10
00
10
10
00
10
00
00
01
01
10
00
00
10
10
10
01
00
00
01
00
10
10
00
00
00
00
10
10
11
01
00
11
10
00
01
10
10
10
00
00
00
10
11
00
10
10
00
01
10
00
00
01
11
10
00
11
10
00
00
01
10
10
10
00
00
00
00
11
10
01
00
10
00
00
10
11
00
00
10
00
10
10
10
10
00
00
10
00
11
10
00
11
11
00
11
11
11
00
10
01
01
00
11
10
10
00
00
10
00
10
10
00
01
11
11
01
00
01
10
00
00
10
10
01
10
10
00
10
10
00
10
11
00
01
10
01
10
10
10
10
10
10
00
11
00
00
01
00
00
11
11
00
00
11
11
00
11
10
00
11
11
00
00
00
11
11
10
00
11
00
11
00
00
10
00
00
10
00
00
10
00
00
00
11
01
10
01
10
00
00
10
00
00
11
10
10
00
10
10
11
10
01
10
11
10
01
11
10
10
10
10
00
00
10
10
00
00
11
01
00
11
01
10
00
10
00
00
00
11
11
00
11
00
10
11
11
10
10
11
00
01
01
01
10
11
10
00
00
01
00
11
00
00
10
11
00
00
00
10
10
10
01
10
01
10
01
00
11
10
11
10
01
10
11
00
00
01
10
10
10
00
00
01
11
01
00
00
10
00
10
01
01
00
11
11
10
00
01
11
10
01
00
00
10
00
11
00
00
11
01
10
11
10
11
10
10
00
10
01
01
00
11
10
00
00
00
10
10
10
00
01
11
01
00
00
11
10
10
11
00
00
10
00
01
11
00
00
10
11
10
00
00
10
11
00
00
00
00
11
10
10
10
00
00
10
10
00
01
10
00
00
00
11
10
10
10
00
10
10
00
10
00
10
00
00
00
10
00
00
11
01
10
01
10
01
00
00
10
00
00
10
11
00
11
10
11
11
11
01
11
00
00
00
11
11
11
00
01
11
00
01
00
11
10
00
11
00
11
11
10
01
11
10
00
00
10
11
01
10
00
00
10
00
10
11
11
01
00
10
00
00
10
11
00
00
01
11
01
10
11
00
10
11
01
01
10
11
00
00
10
11
01
00
11
10
11
10
00
00
01
11
00
01
10
10
10
00
01
11
11
00
10
10
00
10
10
00
10
00
00
11
00
00
10
00
10
00
00
00
00
10
01
10
00
10
11
10
01
01
11
10
00
11
10
01
01
00
11
10
01
10
01
00
00
00
11
00
01
01
10
11
11
00
11
11
00
01
01
00
10
10
01
00
00
10
10
11
11
11
10
01
00
10
10
11
00
00
10
11
00
00
00
00
00
10
00
11
10
11
00
10
00
11
11
11
01
01
00
10
10
00
11
11
01
10
11
00
10
00
00
11
10
01
00
01
10
00
10
11
10
11
10
00
10
10
10
10
10
01
00
11
01
10
00
10
11
01
10
11
10
01
10
10
00
10
10
01
01
11
10
00
10
00
10
11
11
00
11
10
00
00
00
00
01
10
10
10
10
11
10
00
00
00
10
01
01
00
10
11
00
00
11
11
00
00
01
11
00
10
10
00
10
10
00
10
10
00
11
00
11
11
10
10
10
01
00
10
10
10
00
10
10
01
00
01
00
11
10
10
00
11
10
01
00
10
01
01
10
00
00
11
10
10
10
10
10
10
11
00
00
01
00
00
10
10
10
10
00
00
10
11
00
01
00
10
01
00
11
11
10
10
00
00
00
01
00
10
00
00
10
10
00
00
11
11
00
10
11
00
10
00
01
00
01
10
01
10
10
01
10
10
00
01
11
10
00
10
00
01
10
01
00
10
10
11
11
10
00
00
00
00
10
10
10
00
10
00
11
10
00
10
10
00
11
11
00
01
00
00
10
10
11
01
10
10
00
11
11
11
00
00
01
10
00
10
00
00
10
11
10
10
10
01
00
10
11
11
01
11
00
11
00
00
00
00
10
10
00
00
10
10
10
00
00
00
00
10
10
11
00
11
10
00
00
00
00
10
10
00
01
01
00
10
10
00
00
00
10
01
00
10
01
10
10
11
01
00
01
01
11
10
00
10
00
00
11
10
01
11
10
11
00
00
01
10
11
10
10
10
10
11
00
10
10
00
00
00
10
10
00
00
10
00
00
10
01
00
11
10
00
10
00
01
00
00
01
11
10
00
01
11
01
10
11
11
00
00
00
00
10
00
10
10
00
00
00
01
10
00
10
00
01
11
00
10
10
11
01
00
00
10
11
01
01
10
11
00
01
10
10
11
00
10
00
10
10
00
11
10
00
10
00
01
10
11
10
11
00
00
01
10
01
00
00
10
00
11
00
10
11
10
00
10
10
10
00
01
10
00
01
00
01
10
10
00
11
10
11
10
01
10
00
01
11
00
01
10
10
01
01
10
10
00
00
00
10
11
00
11
11
10
01
00
01
00
00
10
10
00
00
00
10
10
00
10
00
01
00
01
10
00
10
11
01
10
10
01
10
00
11
10
10
10
01
01
00
10
10
11
01
01
00
11
11
11
00
11
11
11
10
00
00
10
00
00
10
10
00
01
10
10
10
01
11
10
01
01
00
10
10
00
00
00
10
10
10
01
10
10
11
10
00
11
11
11
01
10
10
00
00
10
10
00
00
00
10
00
11
10
10
11
01
01
00
11
11
10
10
00
11
10
10
00
01
00
00
11
10
10
11
01
11
10
10
01
10
10
00
01
10
10
11
01
01
00
11
00
10
10
00
01
10
00
10
11
00
10
10
00
00
10
11
00
01
11
10
01
11
10
10
10
00
10
10
00
01
10
00
10
10
11
10
00
00
01
01
01
10
11
10
10
10
10
01
00
11
10
11
01
10
00
10
11
00
10
10
00
10
00
00
11
00
00
01
01
10
01
00
10
11
00
01
01
10
10
00
10
10
11
00
10
10
00
10
01
00
11
00
11
10
11
00
00
00
01
01
10
01
10
11
10
00
00
11
00
00
10
10
00
01
10
11
11
11
10
00
11
11
10
01
00
00
10
00
00
11
01
11
00
11
11
01
11
01
01
00
11
10
10
11
00
00
00
11
11
10
00
11
00
00
00
00
10
11
10
00
00
10
00
00
01
01
10
10
11
00
00
10
10
00
00
00
00
10
11
11
11
10
10
00
00
10
10
01
00
10
10
10
10
10
11
00
11
10
10
10
01
00
00
01
10
11
00
00
00
10
00
00
00
10
10
00
00
11
10
01
00
11
00
01
11
00
10
10
00
00
10
10
00
01
00
10
10
10
10
11
00
10
00
10
00
11
11
01
01
00
10
00
11
00
10
10
01
11
01
01
10
10
11
00
00
01
10
11
10
10
00
11
11
01
11
10
11
00
00
00
00
11
10
01
11
00
11
00
00
11
11
00
00
10
10
00
01
10
01
00
00
10
00
01
00
00
11
00
11
11
10
00
00
11
00
00
10
11
00
01
10
10
10
10
00
00
10
10
00
01
10
00
11
10
00
00
01
10
10
00
10
00
00
10
10
01
00
10
00
01
10
10
10
01
01
11
00
10
00
00
10
00
00
00
11
11
10
10
00
00
01
10
10
10
00
01
10
10
00
00
00
00
11
11
00
00
11
00
00
00
10
10
00
00
10
10
10
01
00
00
00
10
01
10
01
01
01
00
10
01
10
00
01
10
10
00
10
11
10
10
00
11
11
11
10
01
10
10
01
00
11
00
11
01
10
00
01
10
11
10
00
01
10
00
00
00
10
10
00
00
01
10
01
11
10
00
01
10
01
00
10
11
11
00
10
00
10
00
00
00
10
00
10
11
01
01
01
10
10
10
00
01
11
10
00
00
00
01
10
11
10
10
00
10
01
00
00
10
01
10
00
10
10
10
01
01
00
00
00
11
11
11
10
00
00
11
01
10
10
01
00
10
00
10
10
00
11
00
11
10
10
10
00
00
11
00
11
00
01
10
00
00
11
10
00
10
10
10
00
00
10
00
10
01
01
00
00
01
10
11
10
11
00
01
11
01
00
00
01
00
00
10
10
11
00
00
11
10
00
10
11
00
11
10
00
01
10
11
00
11
10
01
00
00
00
10
00
11
11
00
11
10
01
10
01
01
10
10
11
10
00
00
01
01
00
10
10
10
10
00
00
11
11
10
10
01
00
00
10
00
01
01
01
00
10
00
11
10
10
10
00
11
00
10
10
00
10
00
01
11
00
10
10
01
10
01
01
10
10
01
01
10
00
00
00
00
10
01
10
00
00
00
10
01
00
11
00
01
10
10
00
01
01
10
11
00
00
10
10
10
10
00
01
00
10
11
00
00
00
10
01
10
11
11
11
11
00
00
10
00
01
10
10
00
00
10
00
10
10
00
00
01
01
11
10
11
10
01
01
01
10
11
11
00
00
01
11
10
10
01
01
10
10
11
00
10
00
01
10
00
01
10
10
10
11
01
01
10
10
10
00
10
00
00
11
00
00
11
11
00
00
10
10
10
11
01
10
10
01
11
00
10
00
00
00
01
00
11
10
11
00
00
11
00
00
00
11
10
01
10
11
01
01
01
10
00
01
11
10
00
00
10
01
00
10
10
10
01
10
11
11
00
10
10
00
00
00
10
00
01
11
00
00
11
10
11
00
10
11
10
01
10
00
00
01
10
10
00
11
00
00
00
00
11
11
10
00
01
00
10
11
00
00
10
01
00
00
00
00
10
10
10
10
00
10
10
11
10
10
00
10
01
00
10
00
11
10
00
00
10
00
01
11
11
00
11
10
10
10
00
10
01
01
00
01
00
01
10
00
10
10
00
10
00
01
10
00
10
11
00
01
00
10
00
11
10
01
01
10
10
00
00
10
10
00
00
11
11
00
00
00
00
11
10
11
10
00
01
00
11
00
01
11
00
00
00
10
10
10
00
00
11
00
00
10
11
10
00
10
11
00
00
11
00
10
10
10
10
00
00
00
00
00
00
11
00
00
00
11
11
00
01
10
00
00
01
00
11
11
00
00
01
01
10
01
10
10
00
00
11
00
00
11
10
01
11
00
00
10
11
00
00
10
00
10
10
00
01
00
10
10
00
10
10
00
10
01
00
10
01
10
11
01
01
11
01
01
11
11
11
10
00
00
10
10
01
00
10
10
11
01
00
10
00
01
11
11
10
00
10
00
10
10
00
00
10
10
11
10
11
00
11
10
10
01
10
00
00
11
10
01
01
00
00
00
00
01
10
11
10
01
01
10
10
00
11
11
00
01
00
01
10
10
10
01
10
10
00
01
10
00
10
01
10
00
10
11
00
11
00
00
00
01
00
10
11
00
01
11
11
00
10
10
01
01
10
11
00
00
11
00
00
10
11
00
01
10
11
01
11
01
10
00
00
01
10
10
00
10
11
00
00
10
00
00
10
00
10
00
00
00
01
00
10
11
00
11
00
01
11
01
00
00
00
11
00
01
00
10
10
10
11
00
11
11
10
00
10
10
00
00
10
01
00
11
00
00
10
10
00
00
00
10
10
11
00
11
10
10
00
00
11
00
11
10
00
10
01
00
00
01
11
10
10
00
01
00
01
01
10
10
11
11
10
00
01
11
10
10
01
00
01
00
10
01
11
10
10
01
10
11
10
10
01
11
00
01
11
11
10
11
01
00
10
10
00
00
00
10
11
00
10
01
11
10
11
01
10
01
01
00
10
00
00
01
01
11
00
01
10
10
00
00
10
11
11
01
00
10
01
11
11
00
01
10
11
01
00
10
10
00
00
11
10
00
00
10
10
10
10
10
11
10
11
10
10
11
00
01
00
11
10
00
01
10
00
00
01
11
00
00
00
10
10
00
10
00
01
11
00
10
01
10
10
10
11
10
00
00
01
11
10
00
00
00
00
00
00
10
10
00
10
11
10
10
00
00
01
01
11
11
01
10
10
00
01
00
10
10
10
10
10
10
11
10
00
10
11
00
11
00
10
10
00
10
11
00
10
00
00
00
11
10
00
10
00
01
10
11
11
00
00
00
00
00
00
10
10
00
00
00
01
01
10
01
11
10
11
10
00
11
10
00
10
10
00
10
00
00
00
10
01
11
10
10
00
10
01
01
11
00
00
11
10
11
00
01
10
00
10
11
10
10
00
01
00
00
01
10
01
00
01
10
00
00
11
10
00
01
10
10
11
00
00
00
00
00
10
01
00
10
10
00
10
00
00
10
00
10
01
00
10
10
00
10
10
10
10
01
10
01
01
11
00
10
10
01
00
10
10
00
01
00
10
01
10
00
10
10
00
10
00
01
11
10
11
11
10
10
10
00
11
11
00
00
01
00
10
10
10
11
00
01
10
00
01
00
10
11
10
00
00
01
01
10
11
00
11
00
00
10
10
10
00
00
11
10
10
00
11
10
10
00
10
11
10
00
11
00
01
00
11
10
00
00
10
00
00
01
11
10
11
00
00
11
10
10
01
00
11
00
00
00
10
00
10
11
01
00
01
10
00
00
10
11
10
10
00
00
00
10
01
00
01
11
10
10
00
10
01
10
00
00
11
10
10
10
00
01
00
10
10
00
10
10
10
01
11
10
00
00
00
01
00
11
10
01
00
01
11
01
00
00
10
00
10
11
10
00
00
00
01
10
00
11
10
01
00
00
11
10
00
11
00
00
01
01
00
11
01
00
11
00
01
10
00
00
10
11
01
10
11
10
11
10
11
01
00
01
10
10
00
00
10
11
00
01
10
10
10
10
00
00
01
10
01
01
01
01
11
01
01
01
00
10
10
01
00
10
10
00
00
10
00
10
11
00
10
10
01
00
00
10
00
00
00
10
11
00
01
10
11
00
10
10
00
00
10
10
00
10
11
11
10
01
00
10
11
10
10
01
11
10
10
00
10
10
01
00
00
11
00
01
10
00
10
00
01
10
10
00
10
10
00
10
01
01
10
00
00
11
01
10
10
01
00
10
10
00
10
10
10
00
00
11
00
10
10
10
11
00
11
10
00
00
10
00
01
00
10
01
00
10
00
00
10
11
00
10
00
01
00
10
01
10
01
01
11
00
11
10
00
01
10
11
00
00
10
10
00
00
10
11
11
11
01
01
10
00
00
10
10
00
01
10
00
11
00
10
11
10
01
11
10
01
01
00
00
11
11
10
00
11
10
10
00
00
10
00
01
10
10
10
10
01
00
11
10
01
00
01
10
11
00
00
10
10
01
00
10
11
01
01
11
00
10
10
10
00
00
11
10
11
01
00
00
10
10
00
00
10
01
00
10
00
11
01
10
00
01
00
10
10
00
10
11
10
11
01
01
00
10
10
00
00
01
11
11
00
10
01
00
00
10
00
01
11
00
00
10
10
11
00
01
10
11
00
00
01
01
00
10
00
00
10
00
00
11
10
01
01
00
11
10
10
11
10
10
10
00
00
01
00
10
10
11
11
01
10
00
00
00
00
11
00
01
01
10
10
01
10
01
11
10
10
10
00
10
01
00
10
00
01
10
01
00
01
10
10
01
11
01
00
11
00
10
00
01
10
10
11
00
11
10
01
10
01
00
11
00
01
11
11
10
00
00
10
11
00
01
00
10
00
01
10
00
10
01
00
10
10
10
00
00
00
11
00
10
01
01
10
10
10
00
11
11
11
11
10
11
00
00
00
01
10
01
00
11
00
11
11
10
01
11
00
00
00
10
10
00
00
10
10
00
00
10
01
01
00
11
00
10
00
11
10
00
01
01
00
11
11
00
00
10
00
00
10
10
10
11
00
10
10
10
00
10
10
00
10
11
01
10
10
01
01
10
10
10
00
10
10
00
10
01
00
10
10
10
00
00
00
10
11
00
10
01
00
10
10
01
00
01
10
01
00
10
11
10
00
01
10
00
00
11
00
10
11
00
10
10
00
11
01
01
10
10
00
00
00
00
10
10
10
11
01
01
01
00
10
00
00
00
00
11
01
00
10
11
10
10
10
01
00
11
01
00
10
10
00
00
01
10
10
10
11
01
11
01
00
10
10
01
10
10
11
00
10
10
10
00
11
00
01
00
01
10
01
10
11
11
11
00
00
11
00
10
00
11
01
00
00
01
01
10
10
00
00
11
10
10
11
10
10
00
10
10
00
01
10
01
11
01
00
00
10
10
10
00
11
10
01
01
11
10
00
11
00
10
00
00
10
10
10
10
10
00
00
10
01
10
00
01
00
10
11
11
00
10
10
00
01
00
00
10
11
00
00
10
00
01
00
01
10
00
00
10
01
11
10
10
11
01
11
00
01
10
11
01
00
10
11
00
10
11
01
00
00
00
01
00
11
00
00
10
01
10
00
10
10
00
11
10
00
10
11
11
00
00
10
10
01
00
00
11
10
00
01
10
11
00
11
00
00
00
00
00
10
01
00
11
00
00
00
11
00
00
10
11
00
10
11
00
10
10
01
10
10
10
00
00
10
10
00
10
10
00
10
00
00
10
10
00
10
00
00
11
00
10
10
11
00
01
11
01
00
01
10
11
10
01
10
11
11
01
00
10
00
00
10
00
01
11
11
00
00
10
11
10
11
00
10
10
00
01
00
00
11
00
00
11
10
00
00
10
11
01
11
01
01
10
10
10
01
10
11
01
01
00
01
00
11
00
10
10
01
01
10
01
01
01
10
10
00
00
00
10
10
01
10
00
10
11
00
00
00
10
00
10
10
00
00
00
10
10
00
10
11
11
01
00
11
00
00
11
10
11
00
10
00
10
10
00
01
10
00
01
10
11
10
10
10
00
01
00
00
10
11
10
10
10
01
00
01
00
11
10
01
10
00
11
11
00
10
11
01
00
10
00
11
11
00
11
11
01
10
00
00
10
01
10
10
00
11
00
10
00
00
01
01
00
10
00
01
00
00
11
00
00
01
10
01
10
10
01
11
10
00
10
11
11
01
00
10
01
00
10
10
10
00
11
11
01
00
00
01
10
00
01
01
11
01
00
10
00
00
10
01
00
11
10
01
01
00
00
11
10
00
01
11
10
00
11
00
00
00
10
10
10
00
00
10
00
10
10
10
00
10
10
10
11
01
00
10
00
00
10
00
00
11
00
00
10
11
00
11
01
01
00
10
10
11
11
01
01
00
00
10
10
00
10
10
10
10
01
01
10
00
00
11
10
01
00
10
11
01
10
10
10
01
00
10
10
00
01
11
00
11
10
00
10
00
01
01
00
10
11
10
10
00
10
01
10
00
10
00
00
00
00
11
00
00
00
10
00
11
00
10
11
10
00
10
11
00
10
10
10
01
00
00
00
00
00
01
10
00
10
10
00
10
01
01
10
10
10
11
00
11
10
00
00
10
00
01
11
10
01
10
00
00
10
00
11
10
00
00
00
10
00
01
01
00
01
01
10
11
00
01
11
10
00
11
10
10
10
00
10
10
01
00
11
10
00
10
11
01
00
10
10
10
10
00
00
01
00
11
01
01
11
10
00
01
10
10
10
00
00
10
10
11
10
10
10
01
10
00
11
10
10
10
00
00
01
10
11
00
01
11
10
10
01
00
11
00
00
11
10
01
01
10
01
00
10
10
00
00
01
01
01
11
11
00
01
00
00
10
00
01
10
10
00
00
00
01
00
11
10
11
00
01
01
11
10
00
01
11
01
10
00
00
10
00
10
10
10
00
00
00
10
01
10
11
00
00
10
10
01
00
00
10
11
00
11
00
11
01
10
10
11
00
11
11
00
10
00
00
00
00
10
10
01
10
10
00
10
00
00
00
00
10
10
00
10
10
00
01
11
11
11
00
11
10
00
01
01
11
00
01
11
10
00
00
11
11
10
00
11
10
00
10
10
11
10
00
00
10
00
01
10
10
10
01
11
00
01
10
01
10
10
01
10
01
11
00
00
00
00
10
10
10
11
00
00
11
00
00
11
00
11
10
00
10
00
01
11
00
00
10
00
01
00
10
10
00
00
00
10
11
00
00
01
01
10
11
10
00
10
00
00
00
10
10
10
10
11
11
10
11
11
11
10
01
00
10
10
00
10
10
11
00
11
01
10
11
00
01
11
01
00
10
11
00
10
10
01
01
01
00
10
11
10
10
00
01
11
00
10
11
00
11
01
00
10
00
11
10
10
00
11
10
00
11
00
11
10
11
00
00
11
10
10
00
01
10
10
00
01
11
01
11
11
01
01
10
10
10
01
00
00
00
11
01
00
10
01
01
00
11
00
10
01
00
00
10
10
00
10
00
00
10
01
10
11
01
00
10
00
10
10
10
01
00
00
00
11
10
00
00
11
00
01
00
10
10
11
00
11
10
00
00
01
10
01
10
01
11
10
10
00
00
11
10
10
10
01
01
00
00
00
10
00
00
10
11
10
11
10
10
00
00
00
11
00
10
10
01
10
10
10
11
10
10
11
00
11
00
11
10
10
01
00
01
00
11
01
11
10
00
10
00
00
11
10
00
10
00
00
11
10
00
10
11
10
01
10
01
00
00
10
10
10
01
10
11
00
00
00
01
10
11
00
00
10
00
00
01
00
11
00
00
11
10
00
11
01
00
10
11
10
11
01
00
10
11
01
00
10
11
00
11
10
01
11
10
00
00
10
10
10
00
11
10
01
11
01
10
00
10
10
10
00
00
00
10
11
10
01
00
01
10
00
01
10
10
10
10
10
00
01
10
01
10
01
10
10
10
01
00
00
00
11
00
01
11
10
00
11
01
00
11
10
01
10
00
00
10
10
01
10
11
10
10
11
00
10
00
00
10
00
00
01
11
10
01
00
10
11
00
01
00
11
11
01
01
11
10
00
01
11
10
00
00
10
01
00
00
00
00
01
10
11
00
00
00
01
00
01
10
11
11
10
10
00
10
10
10
00
10
11
10
11
10
10
00
11
01
01
00
00
00
10
00
10
10
01
10
10
01
01
00
10
11
01
00
00
11
10
01
01
10
00
01
10
10
10
00
01
00
00
10
10
00
11
10
01
10
10
00
11
11
10
00
01
01
00
10
10
10
00
11
11
00
00
01
10
10
11
00
00
01
11
10
10
00
00
00
00
11
10
01
10
10
11
00
01
01
01
11
01
00
00
01
11
10
10
10
00
00
11
00
10
11
10
00
00
00
01
00
01
01
00
10
10
10
10
10
00
11
00
10
00
10
11
11
01
01
10
01
10
10
11
10
00
00
10
11
00
00
10
11
00
00
00
00
01
00
00
10
00
11
11
11
11
00
00
10
01
10
00
01
10
11
00
10
00
00
00
10
01
01
01
11
10
01
01
10
11
11
00
01
10
10
11
10
10
00
01
10
00
01
10
10
10
11
00
00
11
10
01
10
00
01
10
10
01
00
10
10
00
10
00
11
01
10
00
01
11
01
00
11
10
00
10
01
10
10
01
00
11
00
10
10
00
11
00
01
11
10
10
10
00
11
10
01
01
01
00
00
00
10
10
11
00
00
00
00
00
01
01
00
10
00
00
10
01
00
10
01
00
01
10
00
01
11
11
10
00
00
11
00
01
10
11
10
11
00
10
10
10
01
01
11
11
11
01
00
00
01
11
01
00
10
10
00
11
10
01
00
01
10
10
11
00
00
10
00
00
00
11
10
10
11
00
01
00
10
10
00
00
11
10
01
01
00
10
01
00
11
10
10
00
10
11
10
00
00
11
10
10
00
11
10
01
10
01
10
00
10
10
10
01
01
10
11
10
00
10
00
01
01
10
11
00
10
11
00
00
00
01
10
10
00
10
10
10
10
10
10
00
00
00
00
00
00
10
10
10
00
00
10
11
11
00
10
01
11
11
00
00
10
10
01
01
10
10
00
11
10
10
00
00
00
11
11
01
10
00
11
11
10
01
10
11
10
11
00
00
11
10
10
01
10
10
10
11
00
00
01
01
00
10
10
10
11
11
00
01
00
11
00
11
01
01
01
10
10
10
10
10
11
00
01
11
00
00
00
10
11
01
01
10
11
00
10
00
10
00
01
10
11
10
00
10
10
01
00
10
01
10
10
10
10
00
10
00
11
01
00
00
11
11
10
10
00
10
10
00
01
11
10
01
11
11
00
10
10
10
01
00
01
00
10
10
10
00
01
10
11
10
10
00
00
10
11
00
00
10
11
10
00
01
00
00
10
10
10
00
00
00
00
00
01
10
10
10
01
00
11
10
00
10
10
00
11
10
01
00
11
10
00
10
10
01
00
10
00
00
10
10
00
00
00
00
00
11
00
10
11
10
11
00
10
00
10
10
00
10
10
00
11
01
00
10
01
01
10
10
00
10
00
00
10
10
00
00
11
11
00
10
01
10
10
00
10
10
01
01
00
10
00
00
10
00
10
10
10
01
11
00
11
00
10
01
01
10
11
00
00
10
11
00
11
10
00
10
10
00
01
01
01
00
10
10
00
10
00
10
10
01
10
10
00
01
10
11
11
00
10
00
11
10
00
11
00
01
00
01
11
00
10
00
10
10
01
00
00
00
10
00
10
00
11
10
11
11
01
01
01
10
01
11
10
10
00
00
10
10
00
01
00
10
10
11
00
11
00
00
10
01
11
11
00
11
01
00
10
10
01
01
00
10
10
00
00
11
00
00
10
11
10
01
11
00
00
10
00
00
11
10
10
01
00
00
01
10
10
11
00
00
00
00
10
10
00
11
01
10
10
00
10
10
10
00
00
00
10
10
10
10
00
01
10
10
10
10
11
00
00
11
10
11
10
00
01
00
01
10
01
00
10
00
10
00
00
10
11
11
01
11
01
00
01
01
00
10
10
00
00
00
01
11
00
10
01
10
00
00
10
10
01
00
11
00
00
10
10
01
01
01
10
10
10
00
00
00
10
10
00
00
10
00
01
00
11
01
00
01
10
11
00
01
10
00
01
10
01
00
01
10
00
00
10
11
10
11
00
00
11
01
01
00
00
00
01
10
10
00
00
10
01
00
01
10
01
00
10
01
00
10
10
00
10
10
10
10
01
11
00
00
01
11
11
10
10
00
00
00
11
00
00
00
10
10
00
10
11
10
01
00
10
10
11
00
10
10
00
10
00
00
00
00
10
10
00
00
11
01
00
10
11
00
00
11
11
00
01
10
01
11
11
10
10
11
10
00
01
01
11
11
11
00
11
00
10
10
01
00
10
11
01
10
10
00
01
00
11
10
10
00
00
00
01
00
11
11
10
11
00
10
11
10
01
10
11
11
01
00
00
10
11
10
10
00
00
11
01
00
11
10
10
10
10
10
10
00
10
01
00
00
00
00
11
00
00
00
11
00
10
00
10
10
10
11
10
00
00
01
10
00
10
10
00
00
11
11
10
00
10
10
00
10
01
01
11
10
10
00
00
10
01
00
10
10
01
10
10
01
11
00
11
10
00
10
01
11
00
00
10
10
10
11
01
10
10
11
00
01
00
00
01
00
10
10
00
10
00
01
11
10
01
10
01
00
11
01
10
10
01
00
00
00
10
10
00
01
10
10
01
00
00
00
11
01
10
00
00
10
10
01
01
11
11
11
11
10
01
11
10
01
00
11
10
00
10
00
00
10
10
00
10
10
10
10
00
11
01
10
01
11
00
10
11
11
01
00
00
01
10
01
11
10
00
00
11
10
10
00
10
10
10
10
11
01
01
11
10
01
00
00
10
11
11
00
00
01
11
11
00
01
00
10
00
10
10
00
01
11
00
11
11
00
00
10
10
11
00
01
11
00
10
11
00
00
10
00
11
10
00
01
00
11
00
00
11
00
10
10
00
00
10
01
00
10
00
00
00
01
01
00
00
10
00
00
01
00
11
00
11
10
01
00
10
00
00
11
11
10
00
10
11
11
00
00
00
10
10
01
10
11
11
00
00
10
11
11
00
00
10
10
00
10
10
00
01
00
11
11
00
11
10
01
00
00
10
11
00
00
00
01
10
11
11
11
01
01
10
10
10
10
00
00
10
10
00
11
10
00
00
10
10
00
10
10
00
00
11
00
11
00
01
01
01
00
11
10
00
01
10
01
00
10
11
11
01
10
10
01
11
00
00
10
10
01
10
00
01
10
10
11
00
00
01
01
11
10
01
00
10
00
01
01
10
10
00
10
10
00
00
10
10
10
00
00
10
10
01
10
11
00
01
10
01
01
00
10
00
10
11
10
01
00
11
11
10
00
00
10
10
11
00
11
00
10
10
00
11
00
01
10
10
00
10
11
01
00
11
00
01
10
00
10
10
01
01
00
10
10
11
00
00
00
00
10
10
10
00
00
00
11
01
01
10
10
11
00
10
01
00
10
10
00
10
01
11
00
11
11
00
00
01
11
00
00
11
00
00
10
10
10
10
01
10
11
00
01
10
10
10
11
00
01
10
00
00
11
10
10
11
00
10
01
11
00
10
11
00
11
11
00
10
10
00
11
01
00
10
11
00
00
00
00
10
10
10
00
00
00
10
10
01
10
11
00
11
00
00
10
10
11
01
10
00
10
10
00
01
10
10
00
00
10
01
10
11
10
00
00
10
00
10
10
00
10
00
00
00
00
11
10
01
10
10
00
10
11
01
00
11
01
10
00
01
01
00
00
00
10
00
10
10
11
11
01
00
01
11
10
10
10
01
11
00
01
01
11
10
10
10
00
00
10
00
00
00
10
11
00
10
00
10
10
00
01
10
10
00
11
00
00
10
00
00
01
10
10
00
00
01
10
10
00
00
00
10
10
10
11
00
10
00
11
01
00
11
10
10
00
00
00
10
00
01
00
11
00
00
10
00
00
00
10
10
00
01
00
00
11
01
00
11
11
00
10
00
00
00
11
10
00
00
11
10
01
00
01
10
01
00
11
10
10
00
00
10
11
01
00
10
01
01
10
00
01
01
00
10
10
10
00
00
10
10
01
00
01
11
10
00
10
01
00
10
10
10
00
00
01
00
10
00
11
10
00
01
00
01
00
00
01
00
11
10
11
00
01
11
00
10
11
10
01
00
10
11
00
00
10
11
00
11
11
00
10
01
00
00
01
10
00
10
00
00
00
10
10
00
01
10
11
01
00
11
00
10
00
11
00
10
10
00
10
10
00
10
00
10
10
00
00
10
10
00
01
11
00
10
00
11
10
01
01
10
10
00
01
00
11
10
00
10
11
11
00
10
11
00
01
11
10
10
00
10
00
01
10
10
11
10
00
11
00
10
10
10
00
11
00
01
00
10
10
10
00
00
01
11
10
00
10
11
00
10
10
10
01
01
10
11
11
10
11
00
01
11
00
00
00
11
00
10
11
00
10
11
11
01
01
10
00
00
00
11
10
11
01
00
10
00
10
00
00
10
10
10
00
00
11
01
11
00
10
00
00
10
01
11
01
00
01
10
11
00
10
10
00
00
10
10
01
11
01
01
10
00
00
10
11
11
10
01
01
10
00
10
01
01
10
10
10
00
10
00
00
10
10
01
01
00
01
00
10
10
01
11
00
11
01
00
11
10
01
00
10
10
00
00
00
00
10
10
10
11
11
00
10
01
10
10
00
01
01
10
00
10
00
10
00
11
00
10
00
01
00
01
01
00
01
10
11
10
10
00
01
11
10
11
01
01
01
00
10
10
00
01
10
01
00
10
11
01
10
01
11
11
00
00
10
00
00
10
10
00
01
10
11
10
00
00
00
10
00
11
00
10
00
00
11
01
01
11
00
01
00
11
00
01
10
11
11
11
01
00
10
10
00
01
01
01
10
00
01
10
10
10
10
00
10
00
00
00
11
00
10
11
00
00
01
10
00
00
00
10
00
00
11
10
11
00
10
10
00
00
10
00
10
01
00
10
11
00
00
01
10
10
11
01
01
00
00
10
10
11
10
00
00
00
10
00
00
10
11
10
01
10
00
00
00
10
10
00
00
10
00
00
00
10
10
00
10
01
01
00
00
10
01
10
10
10
10
00
00
00
00
11
11
01
01
10
01
00
00
10
01
10
11
10
01
00
00
11
10
01
01
10
00
00
11
00
01
10
10
11
01
00
11
11
10
11
01
00
10
00
01
01
10
11
00
00
00
10
01
11
00
00
10
01
01
00
10
01
11
00
01
11
10
10
10
00
00
01
00
10
11
00
00
00
01
10
10
01
10
01
10
00
10
10
01
10
11
01
00
00
00
01
11
01
00
11
01
00
10
11
01
00
01
10
10
11
10
01
01
00
10
00
01
10
01
00
11
00
10
01
01
11
11
10
00
10
11
01
01
10
10
00
01
10
11
00
00
00
00
00
10
11
01
00
00
11
10
00
10
01
00
11
11
11
01
00
10
00
11
10
10
00
00
11
10
01
11
10
00
10
01
00
10
10
01
00
00
01
10
01
00
11
10
01
00
10
00
01
00
10
00
00
10
00
00
10
00
10
11
11
10
10
10
11
10
11
00
00
00
11
10
00
10
11
10
00
11
00
11
00
01
10
01
10
11
00
00
00
10
00
00
10
11
11
00
00
00
11
11
11
01
00
10
00
00
01
10
10
00
00
10
00
11
10
10
11
10
11
00
11
10
10
01
00
10
10
10
00
11
00
00
10
10
00
10
10
00
11
10
00
00
00
10
11
10
10
00
00
11
00
01
00
10
11
00
00
10
00
00
11
00
01
10
11
00
10
10
11
01
00
00
10
11
00
01
10
00
00
11
11
00
00
10
01
00
00
11
11
10
00
00
01
10
11
01
01
01
00
00
10
10
00
10
10
01
10
10
11
11
11
10
00
00
10
10
10
00
00
10
00
10
01
00
00
10
10
10
10
01
11
10
01
00
01
10
10
10
01
11
11
00
00
00
00
11
00
00
10
10
10
10
00
00
00
00
00
10
11
00
10
10
01
10
10
10
00
10
10
00
10
10
00
11
10
11
10
01
00
00
11
10
11
00
11
10
00
00
10
00
01
10
01
01
11
01
00
11
10
01
10
10
01
00
00
11
00
00
11
01
01
01
10
10
10
01
01
00
10
10
11
01
10
10
00
10
10
00
10
00
00
00
11
10
00
00
10
10
10
01
10
10
00
10
00
10
10
00
00
10
10
01
11
11
11
10
10
01
10
01
10
10
00
01
10
00
10
11
10
00
01
10
10
00
11
01
01
01
10
00
10
11
01
00
10
10
00
00
10
00
10
10
10
10
00
00
00
11
00
11
11
01
01
10
11
00
00
00
00
10
11
10
01
10
00
10
11
00
10
10
00
10
10
10
10
01
11
01
10
01
00
11
11
00
01
10
01
00
10
01
10
11
11
00
00
10
00
10
01
00
10
10
00
10
10
10
01
00
11
01
11
11
01
10
10
11
01
00
11
00
00
10
10
10
00
10
11
10
10
00
11
10
11
00
00
01
00
11
10
10
00
00
01
10
00
00
10
10
00
11
10
10
11
01
00
10
00
11
00
00
10
11
11
00
00
01
00
11
00
11
01
10
10
01
11
10
00
10
00
11
00
10
00
00
11
11
10
10
00
01
10
10
10
00
01
11
00
10
10
01
00
10
11
11
00
00
01
00
10
10
10
11
00
10
01
10
01
00
11
01
00
11
00
00
10
11
01
00
10
10
01
10
10
10
10
10
00
11
10
00
00
00
11
01
10
00
10
10
00
10
10
10
01
00
00
10
00
10
10
00
11
10
00
01
01
01
00
00
00
00
00
11
10
00
11
00
01
10
00
01
00
01
10
11
00
11
00
10
11
00
10
10
00
00
11
01
10
00
00
11
01
00
00
11
11
01
00
10
00
00
10
00
10
10
01
00
10
11
10
10
01
01
10
11
11
00
00
00
00
10
11
00
10
00
10
10
10
01
10
11
01
00
01
10
00
11
10
00
11
10
00
10
00
00
00
10
11
11
10
01
00
10
10
10
01
00
01
01
10
10
00
00
10
10
00
11
00
00
10
10
10
10
11
00
11
11
00
01
10
00
10
10
00
11
00
00
00
10
00
10
00
01
10
01
10
11
10
00
10
00
10
10
00
00
10
10
01
11
00
00
11
00
10
10
00
00
10
10
10
10
11
10
11
00
11
10
01
00
00
10
10
10
00
00
10
00
01
10
01
11
10
11
00
10
00
00
01
00
01
11
10
00
00
00
10
00
00
11
00
00
00
01
10
01
01
11
00
10
10
01
00
10
10
00
00
10
00
00
10
11
10
10
00
11
00
00
00
11
10
00
10
00
00
10
00
10
00
10
10
10
10
01
11
11
00
00
11
01
01
10
11
01
10
00
00
01
10
00
01
10
11
01
00
11
00
00
01
01
10
10
00
00
01
10
11
10
00
10
00
11
10
00
00
10
01
00
01
10
01
00
11
11
00
00
00
10
00
11
00
10
10
10
10
00
11
01
10
10
01
00
10
00
00
10
00
00
01
00
01
10
10
00
00
10
01
11
10
00
00
11
00
10
10
11
00
10
00
00
00
10
00
01
01
10
01
11
01
11
11
01
00
10
00
00
10
10
10
11
00
10
01
11
00
10
00
00
00
10
10
00
11
01
01
00
10
10
11
10
01
10
10
00
10
00
10
00
00
10
11
01
00
11
10
00
11
01
00
01
00
10
10
11
11
11
01
01
11
00
00
00
10
00
01
10
10
00
00
01
10
00
10
00
10
00
00
10
00
10
10
01
01
11
10
00
11
01
01
11
10
00
00
01
01
00
10
10
11
00
00
00
01
10
10
00
00
00
01
00
10
10
11
11
00
10
10
10
11
10
01
00
10
10
10
11
10
10
00
01
10
01
11
11
01
10
10
01
10
01
10
10
00
11
00
11
01
00
11
10
01
00
11
10
00
01
10
10
00
10
10
10
00
01
00
10
10
10
00
01
00
10
00
00
00
00
10
00
00
10
00
01
10
10
11
00
00
10
00
01
00
10
00
01
00
10
11
11
00
10
01
01
01
11
10
11
00
00
11
11
01
00
11
11
11
00
00
10
11
00
01
00
01
10
01
01
10
00
11
01
00
10
10
00
00
10
10
11
01
11
01
00
10
00
00
11
00
11
11
01
00
10
10
01
10
11
00
01
10
10
00
10
10
00
11
00
11
01
00
00
00
10
10
01
00
01
10
10
01
00
11
10
00
00
11
01
01
11
10
10
10
01
00
10
11
00
10
00
01
10
10
01
10
01
01
10
11
00
01
00
01
11
00
00
11
11
11
10
01
11
00
01
01
01
11
00
00
00
10
10
00
01
10
11
01
11
11
00
01
10
10
00
00
10
11
00
00
11
00
10
00
11
00
10
10
00
11
10
01
00
00
00
10
00
10
00
00
01
01
10
00
00
10
01
00
00
10
11
00
10
10
00
01
11
00
11
10
01
10
00
00
10
10
01
01
11
11
00
10
00
10
10
10
01
00
11
01
00
00
11
00
00
10
10
01
00
10
10
10
11
00
11
10
10
00
10
11
00
01
00
00
00
00
00
11
10
11
10
10
01
01
00
10
00
10
10
11
11
00
01
01
00
00
10
10
10
10
01
01
10
00
00
11
00
10
00
01
01
00
10
00
00
10
10
11
00
11
10
00
00
10
10
00
10
10
01
10
10
00
10
00
00
10
11
11
10
00
00
00
00
10
00
11
11
00
00
10
11
00
01
11
10
10
10
10
10
00
00
00
00
10
01
10
01
10
01
10
10
00
11
10
01
00
10
10
01
00
01
11
11
00
10
11
00
10
01
00
10
10
11
10
00
11
01
10
10
10
11
01
10
00
00
10
10
10
01
10
11
01
01
10
10
00
00
10
10
00
11
11
11
01
10
00
11
10
10
11
01
00
10
11
01
10
01
00
11
01
10
10
10
10
01
00
10
01
00
10
00
00
10
00
00
00
01
11
10
11
00
10
00
01
10
10
11
00
00
11
10
10
10
11
00
00
10
10
10
10
10
00
00
11
00
11
00
00
10
10
01
10
01
01
00
11
10
01
10
00
00
10
11
01
10
10
10
10
01
00
10
00
01
01
10
10
00
01
10
00
10
00
01
11
00
10
00
00
10
00
00
10
00
10
10
00
10
01
00
00
00
00
11
00
00
00
01
10
11
10
01
11
11
00
00
01
11
11
00
00
10
00
10
10
01
00
10
00
00
00
01
10
10
01
00
10
10
01
01
11
10
00
10
10
00
10
11
10
00
00
10
00
00
10
10
11
10
01
10
01
10
11
10
00
01
10
00
01
01
10
10
10
01
01
01
00
10
10
10
10
10
00
00
10
00
10
00
00
10
10
10
01
00
11
11
00
10
10
01
00
00
10
10
00
11
11
01
11
00
01
10
10
00
00
10
10
00
00
11
01
11
11
11
10
00
10
10
11
01
01
10
11
00
01
00
10
10
10
00
01
11
11
00
11
00
11
10
01
10
00
00
10
01
00
01
10
00
00
00
10
10
00
11
10
01
00
10
11
10
00
10
00
01
00
00
11
01
00
10
11
00
10
01
00
01
01
10
00
10
10
10
10
00
00
11
10
01
01
00
11
00
10
10
10
01
00
01
11
10
11
00
10
01
10
11
01
10
10
10
11
01
10
00
00
00
11
00
00
11
00
10
10
10
11
01
10
11
00
10
10
10
00
00
10
00
00
10
01
10
10
11
00
01
01
11
00
01
00
11
11
11
11
01
01
11
00
01
11
11
10
00
00
11
10
01
11
10
01
01
10
11
00
01
10
10
01
10
11
01
00
11
10
10
00
01
11
11
11
00
11
10
00
10
10
00
00
10
00
01
10
11
00
01
10
10
00
00
01
11
00
00
00
10
10
10
00
00
00
10
01
10
00
01
10
10
11
00
10
10
10
01
00
01
01
10
01
11
10
11
10
00
01
00
11
10
11
00
01
01
00
00
10
00
00
00
10
00
01
00
00
00
10
10
10
10
00
01
01
00
10
00
10
10
11
00
10
10
10
00
10
00
00
00
10
10
10
10
10
10
10
00
10
00
00
11
10
10
00
10
10
00
00
10
10
11
01
10
01
11
00
10
10
11
10
11
00
00
11
10
10
00
11
10
10
00
10
00
10
11
01
00
01
00
00
11
11
10
10
11
00
00
11
01
10
10
00
00
10
10
00
00
10
11
10
10
10
00
01
11
10
00
10
01
10
00
11
11
00
00
11
01
11
11
11
11
11
00
00
10
00
00
11
11
00
00
10
11
00
01
10
01
10
10
10
10
10
10
11
01
01
11
11
10
01
00
10
00
01
10
00
11
10
10
00
10
00
10
10
01
00
11
00
00
00
10
10
01
00
10
10
11
11
10
00
01
01
11
11
10
10
00
10
10
01
00
10
10
00
00
10
00
01
01
00
10
00
11
00
00
01
10
10
10
11
10
10
10
10
00
10
00
00
01
10
10
10
11
10
01
10
11
10
11
00
00
10
10
11
11
00
10
11
01
00
11
11
10
11
10
01
01
10
11
01
10
10
00
10
00
11
10
01
01
11
00
00
00
11
00
00
11
00
00
00
00
11
00
10
10
00
10
00
11
11
10
00
01
01
00
01
11
11
10
10
11
00
11
11
00
01
10
01
01
01
10
10
00
00
10
10
01
10
10
11
11
01
00
10
00
10
00
10
00
10
11
01
01
00
01
10
00
10
10
00
01
00
00
00
01
10
11
00
00
00
10
10
00
00
10
11
00
10
10
10
00
00
10
01
01
11
10
00
11
10
11
10
10
00
01
11
00
00
11
00
10
10
00
00
00
00
10
01
00
00
10
11
10
00
01
10
00
00
01
01
00
11
10
01
00
10
01
00
00
11
10
00
01
10
10
00
11
11
10
01
00
01
00
01
01
01
00
00
10
11
10
00
11
00
01
00
10
11
11
10
00
10
10
01
11
10
00
11
00
10
00
10
10
01
10
00
10
10
11
00
00
00
00
10
00
00
10
11
00
00
00
00
11
00
00
10
10
10
10
01
11
10
01
00
00
01
00
10
00
10
10
00
01
01
01
00
10
11
01
01
10
11
01
01
00
10
10
00
00
10
10
01
01
00
01
10
11
01
00
10
11
01
01
00
00
10
10
00
10
00
11
10
10
10
00
10
10
00
10
11
00
10
11
10
11
01
00
11
00
00
00
10
11
00
00
10
00
11
01
01
01
10
10
10
00
01
01
11
10
10
01
11
10
00
11
10
01
10
10
01
10
10
00
01
11
00
10
10
00
00
00
10
00
01
10
11
00
00
10
00
10
10
00
01
00
10
11
10
01
00
11
11
11
11
10
00
00
11
10
10
00
01
10
00
10
10
00
11
00
00
11
00
10
10
01
10
00
10
00
10
00
00
00
11
11
10
10
00
00
10
00
00
10
10
10
00
00
00
10
00
11
10
10
01
11
01
01
10
11
10
00
00
01
00
11
01
01
01
01
10
10
10
10
11
00
00
11
10
10
01
00
10
10
10
00
00
00
01
11
00
01
11
00
11
00
00
11
10
11
00
01
10
10
00
00
11
00
01
11
10
10
00
10
10
10
00
11
00
00
11
10
11
01
01
11
00
10
11
00
00
01
10
10
00
00
11
00
11
10
00
00
01
00
11
00
00
11
10
00
10
00
00
10
10
10
11
11
01
00
11
00
11
10
00
00
10
01
00
00
00
01
10
00
00
10
11
00
00
01
10
01
01
01
11
10
00
01
10
11
00
10
11
01
01
00
01
10
10
01
10
00
00
00
10
10
00
00
10
10
10
10
10
11
00
01
10
11
10
00
00
10
10
00
01
00
11
01
11
10
10
10
01
00
10
00
00
10
00
00
10
10
01
00
11
10
10
00
10
10
00
01
10
10
00
01
10
11
10
00
10
10
01
00
11
00
00
00
00
00
10
10
00
10
11
00
10
00
01
11
10
11
00
00
00
10
10
11
00
00
00
00
11
10
10
10
00
00
01
11
00
00
01
00
00
11
11
10
01
11
00
00
11
11
00
01
11
00
10
00
01
10
10
01
00
10
00
10
10
00
00
11
11
10
00
01
11
00
10
11
00
00
10
10
00
00
01
01
00
00
01
10
10
01
01
11
11
01
11
00
00
00
00
01
10
10
00
11
01
00
10
10
00
10
01
00
11
00
11
10
00
10
11
10
11
11
00
01
11
01
11
10
10
11
01
10
00
01
10
00
00
00
01
11
11
11
00
01
00
10
01
00
10
10
01
00
11
10
00
11
00
11
10
00
00
10
00
10
10
01
00
10
00
10
10
00
00
10
10
00
11
01
00
01
10
10
00
10
10
11
01
00
00
10
10
11
00
10
00
10
00
10
11
00
00
11
11
10
01
00
01
10
00
11
01
10
11
00
01
10
00
01
00
11
00
10
10
00
01
00
10
10
11
10
00
10
10
10
11
00
00
10
00
01
01
11
10
10
10
11
00
00
00
11
00
00
00
00
00
00
11
10
10
01
01
10
00
01
01
10
10
00
00
10
10
00
10
10
01
01
10
00
10
11
00
01
10
10
01
01
00
01
10
11
00
10
10
01
10
11
00
01
00
00
11
11
10
10
10
00
10
10
01
00
01
10
11
10
10
10
10
11
00
11
11
11
00
00
00
01
00
00
01
10
10
00
10
00
00
00
11
00
10
01
00
10
11
10
00
00
10
11
00
10
01
00
11
11
00
10
10
11
11
11
01
01
01
11
10
11
00
10
11
11
11
01
11
10
11
11
11
10
00
00
10
10
00
10
01
11
11
00
10
10
00
11
10
00
01
00
00
10
10
00
10
10
10
00
11
00
01
11
10
01
10
00
10
11
00
00
10
11
10
01
01
00
00
11
10
11
00
00
10
11
10
00
10
11
01
00
00
01
00
00
00
01
00
10
10
11
10
11
00
00
00
11
01
00
11
10
01
00
01
10
10
01
00
10
00
00
10
01
00
00
11
11
11
00
10
00
00
00
00
11
11
10
01
00
01
11
00
01
00
11
11
11
10
10
00
00
00
10
10
11
10
00
00
00
10
10
00
00
00
00
11
00
10
10
00
11
00
01
01
10
10
00
10
01
00
11
10
10
00
01
10
00
01
10
11
01
01
00
10
10
10
00
11
10
01
10
00
11
00
00
10
11
00
01
01
01
01
00
10
10
10
00
10
10
00
10
01
10
11
10
01
10
00
10
10
10
01
00
10
11
10
01
00
00
00
00
00
11
10
10
10
11
11
10
01
00
00
10
10
11
00
00
01
00
00
00
10
00
00
10
00
11
10
10
00
00
10
01
10
00
00
01
10
11
10
11
01
11
10
01
00
11
00
00
11
11
00
00
11
10
10
01
00
11
00
10
10
10
10
01
11
01
00
10
10
00
00
10
10
00
10
10
11
00
01
00
01
11
01
10
10
00
01
10
01
00
10
11
00
01
01
01
11
00
00
01
00
00
10
01
00
10
01
11
11
01
11
10
11
00
00
11
10
00
00
11
11
01
10
11
01
01
10
10
00
10
01
00
10
00
00
10
10
10
00
00
01
10
01
00
00
10
10
10
00
00
10
01
10
00
00
10
00
00
10
10
00
10
10
00
00
10
00
00
11
10
00
10
10
01
00
10
10
01
11
01
11
10
01
00
00
10
10
00
10
11
00
10
00
11
11
01
01
10
00
01
10
10
00
00
11
01
00
01
10
00
11
00
00
10
00
00
11
11
10
11
10
11
10
01
01
10
10
01
00
11
11
01
10
11
01
00
01
10
11
01
00
11
10
01
00
01
00
11
11
11
00
00
00
10
10
00
01
00
10
10
11
11
00
01
00
10
11
01
00
10
10
10
00
11
10
00
10
00
00
11
00
01
10
11
10
10
00
11
11
11
10
01
01
11
01
10
10
00
10
11
00
00
10
11
00
01
10
11
00
00
00
00
01
10
10
00
10
01
00
01
11
10
00
10
10
00
11
10
00
00
11
00
11
11
01
10
00
00
11
11
00
01
10
01
10
10
10
01
01
10
00
01
00
00
01
10
11
10
00
00
11
11
11
11
00
01
10
01
00
11
00
01
10
10
00
10
11
00
11
10
00
00
10
10
11
11
00
10
00
11
00
00
10
00
10
10
01
00
00
10
10
00
00
00
00
00
11
00
01
10
00
00
10
00
11
10
00
00
01
10
00
10
00
10
01
00
00
10
10
10
10
00
10
00
00
11
01
00
00
10
10
01
01
00
11
10
11
01
00
00
10
10
01
00
10
11
00
00
10
10
10
10
00
11
00
00
10
10
00
10
00
10
01
11
10
10
01
00
10
00
01
11
10
00
10
10
10
00
00
11
11
10
00
11
00
00
10
10
10
01
10
00
01
10
11
00
01
10
10
11
10
10
00
10
00
10
01
00
10
00
11
00
11
01
10
10
00
01
00
10
10
00
10
01
10
10
10
00
01
01
00
10
10
10
10
00
10
10
00
10
00
00
01
10
10
00
00
10
11
10
10
10
00
10
01
11
00
10
10
00
11
00
01
10
01
00
01
01
01
00
11
00
11
11
00
01
00
11
10
10
01
01
10
10
00
10
11
10
00
10
00
00
00
00
11
00
10
10
01
11
10
00
01
00
01
11
01
01
00
10
10
00
01
00
10
10
11
10
01
00
00
00
00
10
11
10
00
10
10
00
01
01
01
01
11
00
00
11
11
11
11
01
00
10
11
11
10
00
11
00
00
00
01
10
00
01
11
00
11
10
11
01
11
10
00
00
11
10
01
00
10
10
00
11
01
10
01
01
11
10
11
10
10
10
01
01
11
10
01
10
11
00
10
10
00
01
10
11
01
00
10
10
10
00
01
10
10
00
11
10
00
00
01
10
11
10
10
01
10
10
10
00
00
11
10
10
01
10
10
10
10
00
10
11
10
10
00
10
00
00
10
11
01
10
00
00
00
11
10
10
01
00
01
10
10
00
01
10
11
00
00
10
00
10
10
10
00
01
00
10
10
10
10
10
10
00
10
10
11
01
00
00
10
10
10
01
01
11
11
00
10
11
10
00
00
10
10
11
00
00
11
01
11
11
11
01
00
10
00
11
00
00
11
01
10
11
10
00
00
10
00
01
11
10
00
01
01
10
00
01
00
00
10
01
10
11
00
00
01
01
11
10
01
01
10
10
00
10
10
01
01
00
11
11
00
00
01
11
10
01
01
10
11
00
10
00
10
00
10
10
01
11
11
10
00
10
10
01
00
11
11
00
00
10
10
00
00
10
11
10
11
01
00
00
10
00
10
10
01
10
11
00
10
10
01
00
01
10
10
10
11
00
01
00
11
10
11
11
10
10
10
00
01
10
00
00
11
00
01
10
01
01
10
00
10
00
00
11
01
10
10
01
10
01
01
10
01
10
10
10
00
01
10
10
00
10
10
10
10
00
00
10
11
00
00
10
00
00
11
00
10
00
01
01
01
10
10
11
00
00
01
00
00
00
11
10
10
00
10
00
01
00
00
11
11
11
00
00
10
01
01
00
00
11
10
10
11
00
10
11
00
00
11
11
10
01
11
10
10
00
00
10
11
00
10
11
10
01
00
01
00
01
00
10
10
01
10
10
10
00
10
10
00
01
11
00
01
01
01
10
11
00
00
01
10
10
10
10
11
11
00
10
00
00
10
11
00
10
01
00
00
00
10
10
00
00
10
00
01
10
11
10
10
10
00
01
11
10
00
11
10
10
00
10
01
11
10
01
00
01
10
00
00
10
10
00
00
11
00
01
10
00
00
01
00
11
10
01
00
01
01
10
10
00
00
11
11
10
11
10
00
00
11
11
00
00
00
10
00
00
11
00
10
00
00
00
00
10
00
00
01
11
00
11
00
10
11
00
00
11
10
01
10
00
00
00
11
01
01
10
00
11
10
10
11
01
10
10
01
10
11
11
00
01
11
00
11
00
00
10
10
00
10
10
00
00
00
01
11
01
00
00
11
00
00
10
11
00
01
00
01
01
10
11
10
00
00
00
11
11
10
01
10
10
01
01
10
10
10
10
01
00
11
00
00
10
01
00
01
10
10
00
10
10
00
10
10
01
00
11
10
01
01
01
00
10
11
00
01
10
10
00
00
00
01
10
10
10
00
00
00
10
00
01
00
10
10
00
10
11
10
01
10
10
00
11
00
00
00
00
10
00
00
11
10
10
10
10
10
00
10
10
00
11
11
01
00
01
10
00
11
10
00
00
11
01
11
01
10
00
01
01
00
11
11
01
01
10
00
01
10
10
11
10
01
01
10
01
00
00
01
00
10
11
00
01
00
01
10
00
00
11
11
01
00
00
00
10
10
00
00
10
10
00
10
00
10
11
00
11
10
01
11
11
10
00
00
10
10
01
10
10
11
01
11
10
10
01
00
10
10
00
10
11
00
00
00
10
01
10
11
01
00
11
00
10
00
00
11
00
00
11
00
10
00
10
00
11
01
00
10
01
10
10
11
00
00
00
10
11
00
11
01
10
10
01
00
00
00
11
11
00
00
01
10
00
10
11
00
10
10
01
10
11
10
11
00
10
11
01
11
10
11
10
00
00
00
11
10
01
00
01
00
10
01
01
11
11
00
00
11
00
10
10
00
00
00
11
00
10
10
10
11
01
10
00
00
00
01
10
11
10
01
10
10
00
01
00
10
10
00
11
10
11
11
10
11
01
00
10
00
00
11
00
00
10
10
10
00
10
01
00
11
00
00
00
00
00
10
10
01
10
10
00
10
11
00
00
10
10
01
00
11
10
11
00
00
00
10
01
11
11
00
00
11
00
10
10
11
01
01
01
11
10
00
01
00
10
11
00
00
00
10
11
10
10
01
00
10
10
10
00
00
10
10
01
01
10
10
10
10
01
10
11
10
10
10
00
00
00
10
11
01
00
00
00
10
10
00
00
00
00
10
00
00
11
11
00
10
10
10
11
00
10
00
01
01
10
00
00
10
10
00
10
10
10
10
10
11
11
11
00
10
11
00
00
01
00
11
00
01
10
10
01
01
00
10
00
00
01
10
10
01
01
11
00
10
00
11
11
00
11
00
11
11
00
10
11
01
00
01
00
11
11
11
10
00
10
10
10
01
01
11
11
11
10
00
00
01
00
10
10
00
01
11
10
10
10
00
01
00
10
01
01
10
01
10
01
10
11
10
11
00
10
11
00
01
10
00
10
11
00
11
01
11
10
10
00
00
01
01
11
11
00
01
00
00
10
10
01
10
11
00
10
00
11
00
00
10
11
10
01
01
10
10
10
11
10
00
01
10
00
00
10
00
00
01
01
10
11
10
10
00
10
00
10
11
01
10
00
00
00
00
10
01
11
10
10
01
00
00
00
10
10
11
11
01
10
10
01
01
11
01
01
10
10
00
11
00
11
10
10
00
00
00
01
00
10
01
01
00
10
00
11
00
01
00
10
01
00
11
10
10
00
11
01
10
10
01
01
00
00
10
11
10
10
00
01
00
00
00
11
10
00
10
10
10
01
01
00
01
00
00
01
10
10
11
00
11
00
01
00
10
10
01
00
10
10
00
00
00
10
10
00
00
00
11
11
10
01
10
10
00
01
01
00
11
00
10
10
00
11
00
01
11
10
11
00
00
00
01
10
11
01
01
11
10
01
01
11
01
01
10
10
00
00
11
01
01
10
10
00
01
10
10
11
00
01
11
11
00
00
10
00
00
10
00
00
11
00
00
10
00
00
11
10
10
10
00
11
10
10
00
00
00
01
00
10
00
11
01
10
10
00
00
00
01
11
10
11
11
11
00
00
11
10
10
00
00
00
10
10
10
11
00
10
10
01
11
00
10
01
00
10
01
01
10
00
10
10
01
00
00
00
11
00
10
00
00
01
00
10
10
00
01
00
10
10
00
10
10
11
01
10
01
10
11
11
00
10
10
10
01
01
10
10
00
00
11
00
00
00
10
10
11
00
00
10
11
10
10
10
11
00
00
10
10
11
00
00
01
11
01
00
10
10
00
10
10
11
01
10
10
00
10
10
00
01
10
10
00
10
11
01
11
10
00
00
10
10
00
10
11
00
00
00
10
01
00
11
01
11
11
01
01
10
10
01
00
11
11
01
11
00
00
10
11
00
01
11
10
00
11
10
00
11
10
00
10
10
01
00
10
00
10
11
00
01
11
11
01
10
11
00
10
00
00
11
10
10
00
00
10
00
00
11
10
11
00
10
00
00
00
10
10
00
11
10
01
01
01
00
01
10
10
00
00
11
11
10
00
10
01
00
01
00
10
10
00
10
10
10
00
00
10
10
00
00
00
00
10
10
00
10
01
10
00
00
00
11
00
11
10
01
00
01
10
00
00
10
10
00
00
10
00
10
10
11
01
00
01
11
01
10
10
01
11
10
00
10
00
01
10
01
10
11
10
00
00
10
00
00
10
00
00
10
10
00
00
00
10
00
10
10
01
10
10
00
00
01
11
00
00
00
01
11
11
00
10
00
11
10
01
00
10
00
01
00
11
00
00
11
00
10
10
10
00
00
01
00
11
11
00
01
00
01
10
11
00
10
10
11
11
00
00
00
00
10
11
01
11
10
00
00
10
01
00
11
00
00
11
11
01
00
11
10
11
00
01
11
10
10
11
10
00
00
10
00
00
10
01
10
00
10
00
01
10
01
00
01
01
00
10
11
10
00
01
10
10
01
00
00
10
01
10
11
10
10
10
00
10
00
01
01
10
00
11
00
01
10
11
00
01
10
11
00
10
01
01
01
00
10
11
11
00
11
11
10
10
10
00
00
01
10
10
01
00
01
10
00
00
00
10
10
00
00
00
00
00
00
10
00
10
10
10
10
00
00
00
10
00
01
11
00
01
11
00
10
00
00
11
10
11
10
10
00
10
11
00
10
10
01
10
00
11
00
00
00
10
01
10
00
01
00
00
00
01
10
11
10
10
01
00
01
00
11
00
00
00
00
11
01
11
11
10
10
01
01
10
00
01
00
01
11
10
10
00
10
11
10
10
00
00
10
10
00
11
00
11
10
00
11
10
11
00
00
10
11
10
00
01
10
01
01
00
11
00
00
11
00
00
11
01
00
00
00
11
00
00
00
10
10
01
11
00
10
00
01
11
00
11
10
01
10
01
00
10
11
00
10
10
10
11
11
01
01
00
00
11
00
00
10
10
00
01
10
10
00
01
10
10
11
00
00
10
01
00
11
00
10
00
01
11
00
01
10
00
10
11
00
00
10
11
10
00
00
00
00
10
00
00
01
10
11
10
00
00
01
10
01
10
10
00
10
10
00
01
10
01
00
10
10
11
00
00
01
10
00
00
01
00
11
10
01
10
01
10
00
00
10
00
00
01
11
10
00
10
10
01
00
10
11
10
00
11
00
00
10
10
00
10
10
10
10
00
10
00
00
00
01
01
00
10
11
10
10
11
10
11
00
00
00
00
00
00
10
10
10
11
01
10
01
00
00
10
00
00
00
10
10
00
00
00
10
10
00
00
10
00
00
10
01
01
00
10
10
00
01
01
10
10
00
10
11
10
01
10
00
00
10
10
11
00
10
11
11
11
10
11
01
11
00
00
11
10
10
11
01
00
10
00
10
11
10
01
00
11
00
11
00
00
00
11
11
01
10
10
10
01
00
10
01
00
01
11
11
00
00
10
00
11
10
00
00
10
11
11
00
00
01
10
10
01
10
01
01
10
10
00
10
10
10
01
01
00
00
10
10
00
00
00
11
00
00
10
10
10
00
00
11
11
11
00
10
10
10
10
00
01
10
00
01
00
01
10
10
10
00
00
11
00
00
10
11
00
10
00
01
01
10
00
00
01
10
11
11
00
01
00
10
10
01
00
01
11
11
10
00
11
00
10
11
01
01
01
10
10
00
00
01
01
01
10
00
00
10
00
00
10
10
10
00
11
00
01
10
00
11
10
00
01
11
11
11
00
01
10
00
10
10
00
01
10
10
00
10
01
00
10
00
00
11
11
00
10
10
00
11
11
01
00
00
10
01
10
11
10
10
00
11
00
01
11
00
01
10
10
11
11
10
00
10
10
01
10
01
10
10
10
01
10
00
00
10
10
00
00
10
10
10
00
00
00
10
10
10
00
01
10
11
00
10
00
10
11
11
11
00
01
00
00
00
10
10
00
01
11
01
10
00
00
10
00
00
10
10
00
00
01
10
00
11
00
10
00
01
00
00
10
11
00
00
11
10
00
00
10
10
00
00
01
00
01
10
00
10
00
10
10
00
00
10
00
10
00
00
10
00
10
00
00
11
10
10
01
11
10
10
10
01
10
11
00
10
10
00
01
10
10
01
01
00
00
00
10
11
00
11
00
01
11
10
10
11
01
00
00
01
01
11
10
11
01
01
00
10
10
00
00
11
10
00
01
10
11
11
01
00
00
10
10
00
00
10
00
01
10
00
01
10
01
11
11
00
10
00
10
10
00
00
00
11
11
10
10
10
00
00
10
00
00
10
01
00
10
11
00
10
00
00
00
10
11
10
00
00
10
10
00
01
00
11
10
10
00
10
10
00
11
01
10
01
01
10
10
10
10
10
10
10
00
01
10
10
10
01
00
11
00
00
00
00
00
10
11
11
00
01
01
11
00
01
00
10
11
01
01
11
00
10
11
11
10
00
00
10
01
01
10
11
10
11
00
11
10
01
11
11
10
01
11
10
01
11
10
00
00
10
10
11
01
10
01
10
11
10
00
01
10
10
00
10
10
11
00
00
10
10
00
11
00
01
00
00
00
11
00
00
10
10
00
00
01
01
11
00
10
00
10
10
01
00
10
00
11
10
01
00
11
10
11
10
10
00
01
01
11
00
00
10
10
00
10
00
00
10
10
00
10
00
10
01
00
00
00
11
10
10
10
10
11
10
00
11
10
10
01
00
00
11
11
10
10
10
10
10
11
01
00
11
00
10
01
00
11
00
00
11
00
00
11
00
00
00
10
11
11
11
10
01
00
10
00
00
00
10
11
00
01
00
11
11
00
10
01
00
10
10
11
10
01
10
11
00
00
10
10
01
10
00
01
00
10
11
10
01
00
10
11
01
00
10
11
00
10
10
00
10
00
00
00
10
10
00
00
10
01
00
10
10
00
01
00
10
11
11
00
10
10
11
10
01
00
11
11
00
01
11
10
10
00
00
10
00
00
11
10
00
10
00
00
01
00
10
00
01
10
00
11
00
11
00
10
10
00
01
00
01
00
10
10
10
10
10
00
00
01
10
10
00
10
00
00
10
10
00
10
10
01
11
00
00
00
10
10
01
01
10
10
00
11
00
00
11
11
11
11
00
10
00
00
11
01
00
01
00
11
10
01
10
01
00
11
10
01
11
10
10
00
10
10
00
10
11
00
01
10
00
11
00
10
01
11
11
01
00
00
10
11
01
10
11
00
10
00
01
11
00
00
00
10
10
01
01
10
10
01
10
11
10
11
00
01
10
00
01
11
01
00
10
00
00
10
10
00
01
00
10
10
10
11
00
11
11
00
00
01
11
00
01
11
10
00
01
00
10
00
01
01
11
00
00
10
11
10
11
01
00
11
11
10
01
00
10
11
01
00
00
10
10
11
10
00
10
11
00
11
11
11
00
00
00
10
00
01
10
10
10
00
01
10
00
01
01
11
00
10
00
11
10
10
10
00
00
10
11
01
10
10
01
01
00
01
10
00
10
11
00
10
10
00
11
00
00
10
10
00
10
00
10
11
01
10
10
00
10
11
01
11
00
00
00
00
00
00
10
10
10
01
11
10
10
00
10
00
00
10
01
10
01
00
10
00
00
00
10
00
01
00
10
11
00
10
00
10
00
00
11
10
00
11
00
00
10
00
01
00
10
11
10
10
01
11
10
11
10
11
11
10
00
00
10
11
10
01
11
10
01
01
11
10
00
01
10
01
01
10
10
11
00
00
00
10
11
00
00
01
10
01
10
00
10
00
01
01
11
11
00
00
01
00
00
11
01
10
11
10
01
00
01
10
10
00
00
10
10
10
00
01
10
10
11
00
00
01
10
00
01
11
11
11
00
00
10
10
11
11
01
00
00
10
11
00
00
00
11
11
01
00
00
10
00
10
01
10
10
01
11
10
11
11
00
01
00
00
00
00
10
11
00
00
00
11
00
11
00
00
10
11
11
11
10
00
00
11
10
10
00
01
00
01
11
01
01
10
10
11
00
10
00
00
10
10
00
00
10
10
00
10
00
10
01
00
00
10
10
00
10
00
10
11
00
10
00
10
10
00
00
01
10
10
00
00
00
00
01
01
00
10
00
11
10
11
11
01
01
10
00
00
11
10
10
00
00
10
11
00
11
11
01
10
00
11
10
10
00
00
10
00
01
10
00
01
10
00
00
10
10
01
00
10
01
00
10
10
00
00
00
00
10
00
10
10
01
00
00
10
10
10
01
00
00
01
11
01
00
01
10
00
01
10
11
10
11
11
00
10
10
00
00
11
10
01
01
10
00
01
10
10
01
10
00
01
11
00
00
10
10
10
00
00
10
11
10
01
00
01
00
10
00
00
01
11
10
00
00
01
00
11
11
00
00
00
11
00
00
10
10
11
10
11
01
01
00
00
00
11
00
00
10
11
11
10
01
00
01
10
11
00
00
11
10
10
01
00
10
11
10
00
10
10
10
00
00
11
00
00
10
10
10
11
10
01
00
11
10
01
11
01
01
10
11
00
01
11
01
00
11
00
00
01
10
10
00
00
10
01
01
01
00
00
10
10
11
11
01
00
00
00
11
10
10
01
10
01
10
10
10
10
00
00
00
11
00
10
00
00
11
00
11
00
01
10
10
11
00
11
10
01
00
10
10
00
10
10
10
01
00
11
10
10
10
00
01
10
00
00
00
00
01
11
01
00
10
00
11
00
10
10
01
10
10
00
01
11
10
00
00
10
01
00
10
00
01
10
01
11
00
00
11
11
11
00
10
10
00
00
00
00
10
00
10
00
01
11
01
10
01
00
10
10
10
11
01
10
11
00
00
10
01
01
11
00
00
01
10
10
11
10
01
11
00
01
11
00
00
00
10
11
00
00
10
10
01
01
10
10
00
10
10
01
00
11
00
00
10
00
10
00
10
11
01
00
01
10
10
11
11
00
10
11
00
01
10
00
10
00
10
11
01
00
10
10
10
10
10
01
00
11
10
00
01
01
00
01
10
11
10
00
00
01
00
00
10
10
01
00
10
00
00
10
00
00
11
00
10
00
01
00
11
00
01
10
11
00
10
10
00
00
10
10
10
10
01
11
11
11
00
00
00
00
10
11
00
00
10
11
10
10
01
10
00
10
00
00
00
10
00
00
00
10
11
10
10
00
01
10
00
10
10
10
00
01
01
10
10
10
10
01
01
10
10
00
10
11
10
00
00
11
10
00
01
00
10
01
00
00
10
00
10
00
11
10
11
00
11
00
00
01
11
10
00
10
01
00
00
10
11
01
11
01
10
00
10
00
00
11
10
00
10
10
11
00
10
11
01
10
00
01
11
00
01
10
10
10
01
10
11
01
00
01
10
10
01
11
11
01
10
00
10
11
01
01
00
10
11
00
00
00
10
10
01
11
00
10
10
10
11
01
01
10
10
01
00
10
00
00
10
01
10
11
10
00
01
00
01
00
11
00
00
11
10
00
01
00
00
00
10
10
00
11
10
01
00
00
01
11
00
01
00
10
11
11
10
01
00
01
01
00
11
10
01
10
00
00
01
10
10
10
01
10
10
01
00
11
10
10
10
00
01
00
11
10
00
00
10
10
10
11
00
10
11
00
00
00
10
10
11
11
00
11
00
01
10
11
00
11
01
10
01
01
10
00
10
11
00
00
10
11
00
10
11
00
10
11
00
00
00
10
10
10
10
00
10
11
00
10
00
11
01
10
10
00
10
10
01
00
10
01
10
11
10
10
10
10
00
00
10
11
10
10
01
10
00
01
00
00
10
00
00
10
10
01
01
00
10
10
11
00
10
00
00
10
10
01
10
11
00
01
11
00
10
00
10
10
11
11
00
11
10
10
01
00
10
00
11
10
11
10
00
10
11
00
10
10
11
00
11
00
10
01
00
00
11
01
00
10
10
10
00
01
11
00
01
00
10
11
00
11
10
10
01
00
11
01
11
11
00
10
00
10
10
10
00
00
10
10
01
00
11
10
01
11
10
10
00
11
10
10
10
00
10
00
01
11
00
00
10
11
10
00
11
01
00
00
00
01
00
01
11
11
00
11
00
10
11
01
00
11
11
01
00
11
10
00
00
11
10
00
01
11
00
01
10
00
10
10
01
01
01
10
10
00
00
10
00
11
11
10
11
00
00
10
11
01
01
00
00
11
10
01
01
00
10
11
11
10
00
00
00
10
01
10
01
00
01
10
00
10
10
00
00
10
10
01
00
11
10
00
01
00
00
00
10
10
00
11
10
00
11
11
00
10
10
01
01
10
10
10
00
10
11
10
01
11
11
01
00
10
10
01
10
10
00
01
00
10
10
10
01
11
00
01
00
00
10
11
00
11
10
00
00
01
10
11
01
00
00
10
00
10
10
00
10
11
01
00
10
10
10
10
00
11
10
10
00
00
10
10
01
00
10
00
00
10
00
10
00
10
10
10
10
00
01
00
11
01
10
11
01
00
11
00
00
01
10
10
00
00
10
00
00
10
10
00
11
00
10
10
00
00
01
00
11
10
01
01
11
11
10
10
01
10
01
00
11
11
00
00
00
00
10
00
00
11
10
11
00
10
10
01
00
11
00
00
10
01
10
10
00
00
00
10
10
00
00
11
11
00
10
10
01
01
01
00
11
11
00
11
00
10
00
10
11
01
00
11
00
00
10
00
10
11
00
00
00
11
00
10
11
00
00
00
00
10
01
01
10
11
10
10
10
10
00
10
10
01
00
10
10
00
01
10
01
01
00
00
00
11
00
10
10
10
01
00
01
01
11
00
01
01
10
11
00
00
10
01
00
10
11
01
10
01
01
11
10
10
00
01
10
10
00
00
10
11
11
00
00
11
10
01
01
10
10
00
00
10
10
00
11
11
10
01
10
00
01
10
10
11
01
00
11
00
10
00
00
10
00
00
10
10
10
00
10
10
10
10
10
10
11
01
00
10
00
00
11
10
11
00
10
00
10
10
10
00
00
01
11
10
01
01
00
01
00
10
11
11
11
00
10
11
10
01
00
01
00
01
11
00
11
10
10
00
00
10
10
11
00
01
10
11
10
10
00
00
11
10
10
00
10
10
11
00
10
10
00
01
10
10
00
01
11
00
00
00
11
10
11
00
11
10
10
11
00
00
10
11
00
00
10
10
00
10
01
00
11
01
01
11
01
10
00
01
10
00
00
10
11
01
10
11
10
10
10
11
00
01
11
00
10
10
10
10
00
00
00
00
10
00
01
10
01
01
00
00
01
00
10
10
01
10
00
00
10
00
00
00
10
10
11
00
11
11
11
00
10
00
11
11
00
10
10
11
10
11
10
00
01
10
11
00
10
10
10
00
00
10
01
10
10
10
00
10
01
00
00
01
10
10
10
10
10
10
11
10
10
11
10
00
00
00
11
00
00
01
10
10
00
01
11
01
01
01
01
00
10
10
10
01
01
10
10
10
10
00
00
00
10
01
00
01
00
01
00
10
11
10
11
00
11
11
10
10
00
00
10
01
00
01
00
10
10
00
11
10
01
00
00
11
10
00
10
01
11
00
11
10
11
10
11
10
01
10
00
11
11
00
00
00
10
10
10
11
00
10
01
00
01
10
10
10
10
00
01
11
11
10
01
01
00
10
11
00
00
10
10
00
11
00
01
01
11
01
10
10
11
01
00
10
01
00
10
10
00
00
00
00
10
10
00
00
01
00
10
10
00
01
10
10
00
11
10
01
10
11
10
11
01
00
00
11
00
00
10
11
00
00
10
10
10
00
00
10
00
10
00
00
10
10
10
00
01
10
10
10
11
00
01
00
11
01
11
10
10
10
00
01
01
01
10
10
00
01
10
10
01
11
01
11
10
00
00
00
10
11
00
01
10
10
10
10
00
00
11
10
01
00
01
00
01
11
11
00
10
00
00
01
11
00
11
01
01
01
00
10
10
01
10
10
00
00
10
11
00
10
00
10
11
11
01
00
00
10
00
10
10
10
00
01
01
10
10
00
10
00
10
10
00
00
00
11
01
10
10
00
00
00
00
11
11
11
10
10
00
10
00
00
00
00
10
01
10
10
10
10
00
10
10
01
00
01
00
01
10
00
10
11
00
00
10
10
00
10
01
01
10
00
10
00
00
10
10
10
10
01
10
00
11
00
10
01
00
01
00
01
11
00
11
10
10
11
10
10
10
01
10
10
10
00
01
00
01
10
11
00
01
10
10
10
10
10
00
00
01
11
01
00
10
10
00
10
00
10
11
00
00
11
10
01
10
10
10
00
00
01
10
11
00
10
10
01
10
10
00
00
00
10
10
01
11
00
01
11
10
00
11
11
00
10
10
00
10
10
00
10
00
10
01
10
10
00
10
00
10
10
11
10
10
01
00
00
00
00
11
10
11
01
00
00
00
11
00
00
11
00
11
00
00
11
10
01
10
11
00
00
11
00
10
10
00
00
10
00
10
10
00
01
01
10
11
01
01
00
10
00
00
11
10
00
00
00
11
00
10
11
00
00
00
00
10
01
00
11
10
10
11
00
10
00
00
10
01
00
10
10
00
00
01
01
00
10
10
10
00
11
00
00
10
10
00
11
00
11
00
00
10
00
00
11
11
01
11
11
01
10
01
01
11
10
11
00
00
11
10
11
01
10
10
10
11
10
10
00
10
00
10
10
01
11
00
00
10
11
10
01
11
10
00
00
10
10
00
00
10
00
00
11
01
11
10
11
01
11
01
00
10
10
00
10
01
10
11
10
10
11
00
10
10
01
00
01
10
11
11
01
00
00
00
10
01
00
00
10
01
11
10
00
00
10
10
01
00
10
10
01
01
00
00
01
00
11
10
10
10
10
10
00
01
10
11
00
00
00
10
10
00
01
11
10
00
11
10
01
00
10
00
00
11
10
10
01
01
00
00
10
01
10
10
10
10
11
10
00
10
01
01
00
00
01
00
10
00
10
11
00
00
10
01
10
10
01
00
10
00
10
01
00
00
00
00
00
01
10
11
11
00
00
10
11
00
10
11
11
00
01
00
11
10
01
00
00
00
00
11
11
00
00
11
00
00
00
10
00
00
00
00
01
01
10
01
10
00
10
00
00
00
10
10
10
00
10
00
01
00
00
10
01
01
00
01
00
10
10
10
00
00
11
11
01
11
10
10
01
00
10
10
00
00
10
10
10
00
00
11
10
10
10
10
11
11
00
01
10
00
10
00
00
00
11
10
00
10
10
00
10
10
10
00
10
00
01
00
11
00
00
00
01
10
00
01
00
01
01
10
10
01
00
10
10
01
00
00
00
00
01
11
01
11
10
10
01
10
01
10
10
00
01
00
00
01
10
10
01
10
10
10
10
00
11
00
10
11
00
10
00
00
10
00
00
11
01
10
10
10
10
11
10
01
10
11
00
10
10
00
01
00
10
11
00
11
01
01
00
10
11
10
10
10
00
00
11
11
01
01
10
10
00
01
10
00
00
10
01
10
10
00
10
00
11
00
00
10
01
00
10
00
00
10
00
00
10
10
01
00
01
11
10
10
01
10
10
10
00
10
10
10
11
10
01
00
10
00
10
10
10
10
00
10
10
01
00
11
01
00
10
01
00
11
10
00
10
00
00
00
10
11
00
10
10
00
01
00
10
00
00
00
01
00
00
00
11
00
00
10
11
00
10
10
00
10
00
11
10
10
10
00
10
10
10
00
10
10
10
00
01
00
10
00
00
11
00
11
10
10
01
01
01
10
10
00
01
01
11
00
00
10
00
10
10
10
00
01
00
00
11
10
00
10
11
10
00
01
01
00
01
10
10
11
00
10
01
10
11
11
00
00
00
01
00
01
11
11
01
00
11
01
00
11
00
01
10
10
10
10
00
11
00
01
00
10
00
00
10
11
10
00
11
11
01
00
11
11
00
00
10
00
10
10
01
00
01
10
00
11
10
10
10
00
01
01
10
11
11
10
00
10
11
10
00
00
00
01
10
01
11
11
10
01
11
01
01
10
10
01
00
00
00
10
11
11
11
00
10
10
11
00
00
10
11
11
01
00
00
00
11
10
01
00
10
10
10
01
01
00
01
00
00
00
10
10
00
11
10
00
10
00
01
10
10
10
10
11
10
00
00
00
01
11
00
01
10
10
00
11
01
00
11
10
00
00
10
01
10
00
00
01
10
01
10
10
10
00
01
10
00
01
01
10
10
00
00
10
10
00
11
10
10
00
00
11
10
00
10
10
01
11
10
11
10
10
11
10
00
00
10
00
11
10
01
01
00
00
00
10
01
01
00
11
10
00
10
00
10
00
01
01
11
11
10
11
10
10
01
00
00
10
00
10
01
10
10
01
00
01
00
00
01
11
10
10
10
00
11
10
00
11
10
11
01
00
00
01
11
10
10
10
01
01
01
00
11
01
00
10
00
00
00
00
10
10
01
00
10
10
00
10
10
11
01
11
10
11
00
11
10
01
00
11
10
00
00
10
10
01
00
10
00
01
00
10
10
00
00
00
10
01
10
01
00
10
10
11
01
11
00
00
00
00
00
00
10
01
10
10
10
10
00
01
11
10
10
10
10
11
11
10
01
10
11
10
10
01
00
00
11
11
11
01
01
10
10
01
10
10
01
00
11
11
00
00
10
00
00
10
10
10
10
10
10
01
00
11
10
00
10
01
01
00
00
11
00
10
10
01
10
00
10
11
00
11
10
01
10
11
10
00
10
10
00
01
10
11
11
00
00
10
11
10
10
11
00
00
11
11
01
11
00
00
10
01
00
00
10
11
01
00
10
01
10
10
01
10
10
00
00
00
11
11
10
10
10
11
10
01
00
10
00
01
10
00
00
10
00
10
00
00
01
00
00
00
11
10
10
00
10
00
10
01
01
10
01
10
10
00
10
10
00
00
11
10
00
00
01
10
01
11
00
00
10
00
10
10
00
11
00
00
00
01
11
00
11
00
10
11
00
00
10
11
00
01
10
11
10
10
00
00
00
10
10
00
10
00
00
01
00
01
10
10
11
00
00
11
10
00
00
01
10
10
10
10
01
00
10
00
11
10
00
00
00
10
01
00
11
10
10
01
10
11
00
00
10
11
01
00
00
11
01
11
11
00
10
10
00
10
01
00
10
00
11
00
01
11
10
00
01
01
10
11
00
10
00
00
11
00
01
11
00
00
10
10
00
10
10
00
01
01
00
01
00
00
10
01
01
11
00
00
11
10
01
00
11
10
01
11
01
00
10
10
01
01
00
00
10
11
10
00
00
00
00
00
00
01
10
10
01
00
10
10
11
00
10
10
10
10
00
00
00
10
00
11
10
10
11
11
10
01
10
01
01
00
00
00
11
00
10
11
10
11
10
00
01
11
10
00
00
00
00
10
10
00
00
10
01
10
10
00
00
00
01
00
10
01
00
11
00
10
00
10
11
10
11
01
11
10
01
01
11
10
01
00
10
10
01
00
00
01
11
10
00
10
10
11
10
00
01
00
10
00
01
11
11
10
10
10
10
10
00
01
10
10
10
10
00
01
10
10
00
10
01
00
00
10
00
11
10
01
11
00
10
11
00
10
10
11
00
00
10
00
01
10
11
10
00
00
10
11
10
10
00
00
10
10
00
01
11
00
10
10
10
11
10
01
01
00
01
00
01
01
10
10
10
00
00
00
10
01
01
01
10
10
00
00
00
10
10
00
00
00
10
00
00
10
00
00
00
11
10
10
10
10
10
10
01
00
10
10
00
00
01
10
11
01
01
10
11
10
11
11
10
01
01
10
11
10
10
10
10
00
00
10
10
10
10
11
10
10
00
10
00
01
00
00
00
01
01
00
11
00
11
10
00
01
00
10
11
01
10
01
00
00
01
10
01
01
00
11
10
10
00
10
10
11
10
00
00
10
01
11
00
00
01
01
00
10
10
01
00
00
00
10
11
10
10
01
00
00
00
01
10
10
00
10
11
00
00
01
01
10
00
00
10
10
01
00
10
10
10
10
10
01
10
01
00
00
00
10
01
00
01
10
10
01
10
00
00
00
00
00
11
00
01
10
11
00
00
10
01
00
11
11
00
00
11
11
10
01
01
11
10
10
10
01
11
10
00
01
01
11
00
00
10
10
10
11
11
10
00
00
10
11
10
10
01
10
11
10
00
01
00
01
10
01
00
00
00
10
00
10
01
00
00
01
10
11
11
00
10
10
00
00
11
11
00
00
11
11
00
00
11
00
00
00
10
00
10
10
01
10
10
00
00
00
00
11
11
10
10
10
10
10
00
01
11
00
10
01
10
10
00
11
10
01
00
00
11
00
10
00
00
10
11
01
00
11
11
10
00
00
00
10
11
00
00
11
11
11
11
00
01
10
11
01
00
11
11
10
01
10
00
10
10
00
01
00
11
00
01
10
00
00
00
01
10
10
10
10
00
01
00
10
11
01
00
01
00
01
11
10
00
11
10
01
10
10
10
10
00
10
01
00
01
00
10
00
11
00
01
00
10
00
00
10
10
10
00
10
00
00
00
10
01
00
00
10
01
00
11
11
00
01
00
00
10
00
10
00
10
00
00
11
00
00
10
00
10
10
01
01
10
10
10
00
11
00
00
10
00
00
00
01
10
01
00
00
00
01
11
10
00
00
10
00
11
11
11
01
00
11
00
10
11
10
00
11
00
00
00
10
10
00
10
10
10
11
01
01
00
00
01
00
11
10
11
01
01
10
00
00
01
10
11
10
00
00
01
00
11
00
00
01
10
00
11
01
01
10
10
00
11
11
00
00
10
10
10
10
10
11
01
00
01
00
11
00
01
10
01
01
10
10
00
10
00
01
10
11
10
00
11
00
10
10
10
00
00
00
00
00
10
10
01
11
01
10
10
00
11
10
11
10
00
00
10
00
01
11
11
01
10
10
10
01
00
01
11
11
11
01
01
10
11
01
10
01
00
10
10
10
00
01
11
00
11
01
00
10
00
00
11
11
01
10
01
10
10
01
10
11
00
10
01
01
00
00
10
01
00
10
01
10
11
10
10
00
11
10
00
01
10
00
11
00
10
00
10
00
10
10
00
00
10
01
10
10
01
00
01
00
00
00
01
11
10
10
00
01
01
00
00
11
11
11
10
10
00
00
11
01
01
11
11
10
10
00
00
10
10
00
00
11
10
00
11
10
01
01
11
01
00
11
00
11
10
00
00
10
00
10
10
01
11
10
10
10
00
00
11
00
00
00
10
00
10
10
10
10
11
10
10
00
10
00
00
10
01
10
11
01
10
01
10
10
01
11
00
10
01
00
10
10
00
00
11
01
00
10
01
10
00
10
00
11
10
01
01
11
10
00
00
11
10
01
11
00
01
10
10
10
00
01
00
01
10
01
10
01
01
00
10
10
00
00
10
11
00
00
00
10
10
10
00
01
10
00
10
00
00
00
11
11
10
01
00
00
10
11
00
10
10
01
01
11
11
01
10
10
01
11
10
01
11
10
10
10
10
00
00
00
11
10
01
01
00
10
10
10
00
01
10
00
11
01
11
11
01
01
10
11
00
00
11
10
00
00
11
11
00
11
10
10
01
00
10
11
00
00
01
11
00
00
00
01
10
00
11
10
00
00
11
10
10
00
01
00
10
11
00
01
00
00
10
11
00
00
00
10
10
00
10
10
10
00
11
00
00
11
00
11
00
00
10
10
10
10
00
00
10
10
00
00
11
00
01
11
10
00
01
10
00
10
01
10
10
10
00
11
10
10
00
10
11
00
10
01
00
10
01
10
10
00
11
10
10
00
00
11
00
00
10
00
10
10
00
01
10
00
01
11
00
00
11
00
10
11
01
00
10
00
00
01
10
00
11
11
00
00
00
10
10
00
00
10
10
00
10
00
01
00
00
00
10
01
00
10
00
10
01
10
00
11
00
11
01
11
11
10
10
11
10
01
10
11
00
00
10
10
01
00
00
00
10
10
01
10
00
00
11
10
11
00
00
01
01
10
11
00
10
11
10
00
00
01
01
10
00
01
00
11
10
10
10
10
10
01
10
11
11
01
10
11
00
11
11
00
11
00
01
10
00
00
00
10
10
00
00
10
10
00
00
10
00
00
11
01
11
01
10
10
00
01
10
10
00
00
01
11
00
10
11
10
00
00
11
00
11
11
00
10
01
10
00
01
10
11
10
01
00
00
10
10
10
00
10
10
10
01
01
10
00
10
00
11
11
10
01
00
00
10
00
10
10
10
01
01
00
10
10
11
10
10
10
00
00
01
10
00
01
10
00
00
00
01
11
00
11
10
01
01
00
01
11
11
00
11
00
11
11
00
10
10
00
10
00
11
00
11
11
00
10
01
00
01
10
11
10
00
00
01
10
10
00
00
10
00
01
10
01
10
01
00
00
01
10
00
00
00
00
01
00
11
00
11
10
10
10
11
10
01
00
11
00
01
00
01
11
11
10
10
00
01
11
10
00
11
10
10
11
10
10
11
11
00
10
10
01
01
10
10
00
01
10
11
10
01
11
01
00
00
11
10
00
00
01
10
00
10
10
10
00
00
10
10
10
00
00
01
01
00
10
00
01
11
11
10
00
01
10
11
00
11
10
00
11
10
10
00
00
11
01
00
10
00
00
11
00
11
00
11
01
01
00
01
01
10
01
00
11
11
00
10
10
00
10
01
10
11
00
10
10
10
01
10
00
01
11
01
01
00
10
10
11
10
10
00
10
11
01
10
00
10
10
00
10
00
10
00
01
10
10
10
01
00
00
11
00
11
10
10
00
00
10
01
00
11
11
11
11
11
00
11
11
01
10
00
00
10
01
00
10
10
00
00
11
10
00
10
10
11
00
10
00
01
00
01
10
10
00
01
11
01
10
10
10
01
00
01
00
10
10
00
10
11
10
01
00
10
00
00
01
10
10
01
00
10
10
00
01
10
10
10
01
01
00
00
10
01
00
10
11
00
01
10
01
10
10
00
00
10
11
00
00
11
10
11
01
11
11
10
10
10
00
01
10
11
10
01
00
10
10
10
00
10
10
00
10
11
01
11
01
00
00
01
10
10
00
10
00
00
11
11
10
01
01
10
00
00
11
10
00
00
11
00
10
11
10
11
00
11
00
00
00
10
10
00
11
10
11
00
00
00
11
00
00
11
11
00
11
00
00
10
11
10
00
10
01
00
10
11
01
00
01
11
11
11
10
00
01
11
11
00
00
11
00
01
10
11
01
11
01
10
10
00
10
01
00
10
01
00
00
00
10
10
11
10
11
01
00
10
10
00
10
10
01
10
10
00
11
00
01
10
00
00
01
10
10
00
10
10
00
00
00
10
10
00
01
11
11
10
10
10
10
00
01
10
01
10
10
10
11
00
00
10
11
00
00
10
10
01
00
00
11
00
00
11
10
00
01
10
10
00
00
10
11
00
00
00
10
01
11
10
01
10
10
11
00
00
00
10
10
00
00
10
11
00
10
11
10
00
00
10
00
10
00
10
10
00
11
00
11
00
01
11
01
10
11
10
00
01
00
00
10
10
11
10
01
10
10
11
00
11
10
10
00
00
01
00
00
10
01
10
00
00
11
10
01
00
00
00
10
01
01
00
00
01
11
11
10
10
10
11
10
11
00
00
10
10
00
10
00
01
10
10
00
00
10
10
11
10
00
01
10
00
00
00
11
01
00
10
11
01
10
00
01
00
11
10
00
00
11
10
10
00
11
00
10
10
01
11
00
10
10
10
01
10
01
11
00
00
10
00
10
10
01
11
10
10
11
10
11
01
00
11
10
00
11
10
00
01
00
10
10
00
10
11
10
11
10
10
00
01
11
10
01
00
10
10
10
00
00
10
11
00
11
01
00
10
10
00
00
00
10
10
10
00
00
01
11
11
10
01
00
10
01
00
11
11
01
11
00
10
11
11
00
00
01
11
10
00
01
00
11
00
00
11
10
00
10
01
00
10
00
00
01
00
10
10
10
00
00
11
01
10
00
00
10
10
00
00
01
00
00
11
01
10
00
10
10
11
10
00
10
10
00
11
00
01
00
11
10
00
00
00
11
10
11
00
00
10
10
01
00
11
00
00
10
11
01
00
11
11
01
10
11
01
01
00
11
10
10
00
01
00
10
01
10
11
00
10
10
10
10
10
00
01
01
11
11
00
11
11
10
01
00
11
11
00
00
11
10
00
00
10
00
11
11
00
10
10
00
11
00
10
01
10
01
11
10
00
10
10
00
00
11
11
10
10
00
00
11
11
00
00
10
11
01
10
00
10
10
10
10
00
01
10
10
10
10
10
10
10
00
11
10
10
00
01
01
00
01
11
10
00
01
10
11
00
01
11
00
00
00
11
00
10
10
10
10
10
00
00
10
10
00
00
00
00
10
10
01
10
00
00
00
11
10
00
00
01
01
10
01
00
01
00
01
11
11
00
01
10
11
11
00
11
11
10
01
11
11
10
11
00
00
10
11
01
00
00
10
10
01
10
01
01
00
11
01
00
00
10
10
00
10
10
00
01
10
11
01
00
11
10
10
10
10
10
00
10
01
00
01
10
10
00
10
00
00
10
10
11
01
11
00
11
10
00
00
01
01
11
00
00
10
11
10
01
10
01
10
01
10
00
00
11
10
01
01
10
00
00
11
10
01
01
10
11
10
11
10
00
01
11
00
00
10
10
10
00
00
10
10
00
00
00
01
10
01
00
11
11
00
00
01
10
10
00
00
00
00
01
11
01
00
10
00
11
11
00
00
10
10
10
10
10
00
00
01
00
00
11
00
10
00
01
00
11
11
11
10
00
00
00
00
01
10
10
00
11
10
10
01
00
01
00
01
11
10
11
00
10
00
00
10
11
00
00
10
00
00
00
11
00
00
10
10
01
11
10
10
10
00
01
11
00
10
00
01
01
01
00
01
10
01
11
10
00
00
00
10
10
01
10
00
10
10
00
11
01
10
00
01
10
01
11
10
01
01
11
10
11
11
00
01
10
10
00
01
10
10
10
01
10
00
00
00
11
10
01
10
11
01
00
01
01
00
11
10
10
01
00
11
10
00
11
00
11
00
10
10
00
10
01
10
00
11
10
10
11
01
01
00
10
01
10
10
10
10
01
00
00
00
11
00
00
11
11
11
00
00
00
00
10
00
01
00
11
10
10
01
01
00
11
10
01
10
01
10
10
10
00
00
10
10
00
01
00
11
00
11
00
11
10
10
00
00
10
10
00
00
10
10
11
10
00
10
11
01
01
10
10
11
00
00
11
01
01
00
10
10
10
00
00
00
00
00
01
10
10
00
10
10
10
00
01
11
10
10
11
01
10
01
11
00
00
11
00
00
00
10
00
00
10
00
01
11
00
00
01
10
00
00
10
01
10
10
01
10
11
00
00
11
10
10
10
11
00
10
10
00
01
10
10
00
10
00
10
10
00
11
10
01
01
00
11
00
00
11
10
00
10
11
00
00
11
10
00
10
00
01
11
10
10
00
10
11
00
10
10
00
00
10
00
01
10
11
01
01
00
01
10
00
00
10
11
01
00
10
10
00
01
00
00
00
10
11
00
10
10
00
10
00
10
00
01
00
11
10
00
00
00
10
11
00
10
10
01
10
11
00
01
01
01
01
10
01
00
11
10
00
00
00
01
11
11
11
11
00
00
00
11
11
10
00
00
01
01
11
00
00
10
11
10
00
00
00
00
00
01
10
01
00
11
10
00
00
00
10
10
00
00
11
11
00
00
00
11
00
10
00
00
01
01
10
00
10
10
11
11
00
00
00
10
11
10
00
00
01
00
10
11
01
11
00
11
10
10
00
11
10
00
00
10
10
00
00
10
11
00
10
10
01
01
11
10
11
01
00
11
10
01
01
00
00
11
10
10
00
00
00
10
10
01
10
10
01
10
11
00
00
10
10
10
00
10
10
10
10
00
10
10
10
10
01
11
00
11
01
10
10
00
10
00
00
00
01
10
10
01
10
10
00
10
11
00
01
00
10
10
10
00
10
10
01
01
11
11
11
00
10
11
00
11
10
01
00
10
01
00
01
10
01
11
01
00
10
00
00
01
11
10
01
00
10
01
11
11
10
01
00
00
00
10
01
10
11
10
01
00
00
00
11
10
00
00
10
10
11
00
00
11
00
10
01
00
10
10
00
01
01
00
10
01
01
01
10
10
00
10
11
10
11
01
00
01
10
10
00
11
10
01
10
01
00
10
11
00
11
10
10
00
10
01
01
01
01
00
00
10
10
00
11
10
00
00
10
10
01
10
10
00
10
10
01
01
10
00
01
00
00
10
00
10
00
00
00
00
00
01
10
10
10
00
00
01
01
00
01
11
01
10
00
01
11
10
00
11
10
00
11
10
10
11
01
01
01
01
10
11
00
11
11
00
00
10
00
10
00
00
10
10
00
00
11
00
10
00
10
01
10
00
00
10
00
00
00
10
10
11
10
10
00
00
10
10
00
10
00
10
11
00
10
01
00
10
10
10
00
00
00
00
10
10
10
10
00
01
10
11
00
01
10
01
01
00
10
11
00
11
00
11
00
01
10
00
00
11
10
11
11
11
10
11
00
00
00
10
01
10
10
00
10
10
10
00
00
00
00
01
11
10
10
00
10
10
10
11
11
10
10
01
00
11
10
10
00
01
01
00
10
00
00
11
01
00
10
10
10
01
01
11
00
00
10
10
11
00
11
11
00
00
00
00
11
10
01
00
11
01
00
01
00
10
10
10
01
00
10
01
00
01
10
00
11
10
10
01
01
10
10
10
00
00
00
11
10
10
11
01
01
10
00
11
01
00
00
01
10
00
00
10
00
11
10
00
10
00
01
01
10
10
00
00
01
01
00
00
10
01
11
01
11
11
00
10
11
00
01
11
00
00
00
10
00
10
10
00
01
11
01
00
00
10
00
00
01
00
11
10
01
10
11
10
10
00
10
01
00
10
10
01
00
10
01
01
00
00
00
10
01
11
10
01
00
10
10
01
11
11
10
11
00
00
10
00
00
10
11
00
10
00
10
10
10
11
00
00
10
00
10
01
00
10
10
10
11
00
01
10
11
10
11
11
11
01
00
00
10
11
00
00
00
10
11
10
01
00
10
01
10
00
00
10
10
11
00
00
01
11
00
10
00
00
00
01
10
01
00
01
10
00
10
10
10
00
11
01
00
00
11
01
00
01
10
01
00
11
00
11
11
01
01
00
00
10
10
00
00
10
10
00
10
01
00
00
11
01
10
10
00
10
10
00
00
10
10
00
00
10
10
11
10
00
10
00
01
10
11
00
00
10
01
10
10
00
00
10
11
11
10
00
11
10
10
10
00
10
00
11
10
00
00
11
10
01
00
00
00
10
11
01
00
10
01
10
00
01
00
11
10
10
11
00
11
11
11
00
00
01
00
00
10
01
00
10
10
11
10
00
10
10
00
01
11
01
11
10
10
10
10
01
01
11
00
00
10
10
01
01
10
00
10
00
00
11
00
11
11
11
00
00
00
11
10
00
00
10
10
00
01
10
01
01
10
00
01
11
10
00
11
00
00
00
10
01
00
00
00
10
10
00
10
10
00
10
10
00
10
10
00
00
01
10
10
10
00
10
11
00
00
01
00
01
00
11
10
00
00
10
01
00
10
11
00
00
10
00
01
00
10
11
01
00
00
11
10
00
10
00
11
10
00
00
11
10
00
11
11
11
00
11
00
10
00
00
10
11
00
00
10
00
01
01
11
10
00
00
01
10
01
00
10
10
00
01
10
11
01
00
11
00
00
01
10
01
00
01
10
10
11
10
10
11
10
00
00
11
10
11
00
01
10
00
10
10
10
00
00
11
11
01
00
10
10
10
00
10
10
00
11
00
10
10
00
11
10
00
00
11
10
00
10
10
00
10
01
10
10
10
00
11
01
00
00
10
11
00
11
01
10
11
00
00
10
00
01
10
10
00
10
10
00
11
01
01
10
11
00
00
10
10
00
00
10
10
10
00
00
00
10
00
00
11
10
01
10
00
11
10
00
01
00
10
00
10
00
01
11
01
00
11
11
00
01
11
10
00
10
00
10
10
01
00
01
10
11
10
01
00
10
00
00
11
11
11
00
10
10
10
00
10
00
00
01
10
10
10
11
11
00
10
10
00
01
00
10
10
01
10
10
01
10
11
00
00
00
10
10
00
01
11
10
00
00
10
11
01
01
11
00
00
10
00
01
01
11
10
00
00
10
10
00
10
10
00
01
11
00
11
00
01
01
10
00
00
11
10
11
01
10
10
10
00
10
11
00
01
10
11
10
01
10
00
01
00
01
10
00
00
10
11
01
01
10
00
01
00
10
00
00
10
10
11
11
10
00
10
00
10
00
11
00
00
10
00
01
00
01
00
01
10
01
10
10
11
00
10
10
11
00
11
10
01
01
00
01
10
11
00
10
10
00
10
00
10
10
01
00
00
00
01
01
10
00
11
00
10
10
00
10
11
00
10
00
00
10
11
00
01
00
11
01
00
01
10
10
00
11
11
10
00
00
01
01
01
10
01
01
01
11
10
00
01
01
10
00
10
00
00
00
11
01
00
10
10
00
00
00
10
11
11
11
10
00
00
00
00
10
00
00
10
10
11
00
01
00
10
10
10
00
00
11
10
01
11
00
10
10
00
11
00
01
01
00
00
11
00
00
01
10
10
00
10
00
10
11
01
01
00
00
00
00
10
10
01
00
11
01
10
11
00
11
11
00
00
01
00
11
01
11
10
00
00
10
01
00
00
10
00
10
00
00
10
10
00
10
10
10
11
10
01
00
10
11
11
11
10
11
00
00
10
01
01
10
10
00
01
10
10
11
01
00
10
10
10
00
11
10
01
11
00
00
00
00
11
10
10
00
01
00
11
01
00
11
00
10
10
10
00
00
00
10
10
00
00
00
11
00
10
10
01
00
01
01
00
11
10
10
11
10
00
01
01
10
10
11
10
01
01
01
00
00
01
10
11
00
11
10
00
11
01
10
00
00
11
00
11
10
11
10
10
00
00
10
00
00
10
00
01
00
00
01
10
11
10
10
11
00
01
10
01
00
11
11
00
00
10
10
00
11
10
01
00
00
00
11
10
10
11
00
00
10
11
00
11
11
00
00
10
01
00
01
10
00
01
01
11
00
00
10
00
10
00
00
11
01
10
00
10
10
10
01
00
01
10
10
00
00
11
00
00
10
00
10
10
01
11
10
01
01
10
00
10
00
00
10
11
11
00
01
00
00
01
00
10
10
10
00
00
11
01
00
10
11
11
10
10
01
00
10
00
00
10
00
01
10
11
10
00
10
01
00
10
10
00
00
10
11
11
10
00
10
00
00
10
11
01
00
10
00
10
10
00
00
11
00
01
00
10
10
11
01
00
01
11
10
11
10
01
00
10
11
00
10
10
11
00
00
10
10
10
00
01
10
01
01
11
11
10
00
01
10
11
00
10
11
10
10
10
01
01
01
10
00
00
00
10
11
10
00
00
10
00
10
01
11
00
11
00
10
00
10
00
00
00
00
00
11
10
10
11
01
00
00
00
10
11
10
00
01
10
01
10
10
01
00
10
00
00
11
10
10
01
00
01
00
10
10
00
01
10
11
00
10
10
10
10
00
01
00
10
11
01
11
11
10
00
10
10
11
01
00
00
00
10
01
10
00
01
11
10
10
10
10
11
10
00
00
10
01
10
01
11
00
10
00
11
10
01
10
00
10
10
10
00
00
10
00
00
00
00
10
00
00
00
10
11
00
01
10
00
00
10
10
00
01
10
00
01
10
11
10
01
00
10
10
00
00
11
11
01
10
01
11
01
10
10
10
00
01
01
00
10
10
00
10
00
00
10
10
01
00
11
00
00
10
11
01
10
10
10
01
01
10
00
00
00
00
10
10
11
01
10
11
00
00
11
10
00
01
11
10
11
00
10
10
00
11
00
00
11
00
00
00
01
10
00
00
10
01
00
10
11
11
01
01
11
11
10
10
01
11
10
00
01
00
11
00
10
10
01
10
00
01
11
10
11
10
00
10
01
10
10
00
00
10
01
00
10
01
10
00
10
00
00
01
00
10
10
01
10
10
10
00
00
00
10
11
01
01
00
10
00
10
01
01
11
10
01
01
10
10
00
00
10
10
00
00
10
10
00
00
01
01
01
10
10
00
00
10
00
00
10
10
11
10
00
00
00
10
10
00
00
11
10
11
10
11
01
10
11
01
00
00
01
10
10
01
00
01
11
10
00
00
00
00
11
10
10
11
00
10
11
10
11
00
01
10
00
10
00
10
11
00
01
11
10
01
00
10
11
01
11
01
10
10
00
01
10
10
00
00
10
10
00
00
01
00
11
00
00
10
00
11
10
01
00
01
10
10
11
01
10
10
11
10
00
00
10
00
11
10
00
01
00
00
00
01
10
00
10
01
10
01
10
10
00
00
11
11
00
11
10
00
00
00
01
01
10
11
00
01
00
10
01
10
10
01
01
00
00
11
00
01
10
10
10
00
00
10
00
00
11
00
10
11
11
01
00
11
01
10
00
00
10
00
11
10
01
00
10
10
00
01
01
10
10
00
00
10
10
00
11
10
01
11
10
11
10
10
11
00
00
00
10
10
00
01
00
00
00
10
11
01
01
10
00
00
11
00
10
00
00
11
11
10
10
00
00
00
00
11
10
00
00
01
10
11
00
00
00
10
00
11
10
00
10
00
01
10
10
01
10
10
10
10
00
10
11
00
10
10
10
10
00
00
01
10
10
00
01
10
00
00
00
10
00
00
11
01
00
10
10
00
00
01
10
10
00
11
10
10
00
01
01
11
10
00
01
10
11
11
10
00
00
10
00
00
11
11
11
01
11
11
00
10
00
11
10
01
01
11
00
10
00
10
00
00
00
10
10
01
00
10
00
11
01
00
11
11
10
00
00
00
11
01
01
00
10
00
10
10
01
00
11
11
11
11
00
11
11
00
00
01
11
10
10
00
00
11
10
01
10
11
00
11
10
00
00
10
10
10
00
10
11
01
01
01
10
00
10
10
10
01
01
10
01
00
11
10
01
10
10
10
00
10
11
10
00
11
10
00
00
11
00
11
00
10
10
00
00
10
10
00
00
11
10
01
01
00
10
10
00
11
10
00
01
11
00
00
00
01
10
01
11
11
00
10
11
00
10
10
01
01
00
00
10
00
01
10
01
10
10
00
11
01
10
01
01
10
00
01
00
00
10
00
11
11
00
11
01
11
10
00
10
10
00
01
10
11
10
10
10
10
00
10
10
00
00
00
00
00
10
00
10
01
11
10
00
10
00
01
00
10
01
10
10
10
01
01
00
00
10
01
10
10
00
10
01
00
00
10
01
00
10
11
00
00
00
11
10
11
00
10
10
01
10
10
00
00
11
01
01
10
10
00
10
00
10
00
00
10
00
00
11
01
00
01
00
01
01
11
10
01
10
10
01
11
00
10
10
00
01
00
00
10
11
10
00
11
11
00
11
11
11
00
10
10
01
10
01
10
11
00
10
10
01
00
11
10
00
00
00
00
11
01
00
10
11
00
11
11
00
00
00
10
11
11
10
01
00
01
10
00
10
10
10
00
10
11
10
00
00
10
00
10
00
10
10
01
00
11
00
01
00
01
10
00
01
10
10
00
10
00
00
11
11
11
10
11
01
01
00
01
10
11
00
11
00
01
11
11
01
00
00
10
00
00
10
11
01
01
10
10
10
00
00
00
10
10
10
10
01
00
11
00
00
10
10
11
00
01
11
00
10
01
00
00
00
10
01
01
00
11
00
10
11
11
10
00
11
10
10
00
00
10
11
11
10
10
10
00
10
00
00
10
00
00
11
11
11
00
10
10
11
10
10
01
00
10
00
01
00
00
00
11
00
00
10
10
10
11
10
10
00
01
10
10
00
00
11
01
01
11
11
01
00
10
00
00
11
10
10
01
10
11
00
10
10
01
10
10
11
01
00
01
11
11
10
10
10
11
00
00
00
10
00
10
00
00
00
11
10
01
10
00
11
10
00
01
11
10
01
10
00
00
11
01
10
10
00
00
11
11
10
01
01
11
01
01
10
10
10
00
01
01
01
10
10
00
10
00
10
01
00
00
10
00
10
00
00
01
10
11
00
11
10
01
00
00
01
00
00
10
10
10
00
11
00
01
11
10
10
10
11
10
00
01
11
01
10
10
00
10
11
10
01
01
10
00
11
10
01
01
01
00
11
10
11
11
10
11
01
10
10
01
01
11
10
00
10
10
00
00
00
10
01
11
10
10
10
10
00
01
01
00
11
10
00
01
10
11
10
00
01
10
00
11
00
00
00
11
10
00
10
10
10
10
00
10
01
00
00
10
00
01
01
10
10
01
10
10
10
00
10
01
01
10
00
11
11
10
00
10
10
00
10
10
01
00
11
00
00
00
10
10
00
11
11
00
01
10
01
10
11
10
00
00
10
01
00
00
00
00
10
10
01
11
00
10
11
00
00
00
00
10
10
11
10
01
10
10
10
01
01
00
00
10
01
00
10
10
11
11
10
11
10
00
01
10
10
00
00
11
00
00
11
01
01
10
01
10
01
11
01
00
10
10
01
00
10
00
01
10
10
11
00
01
00
01
10
10
00
10
11
00
11
01
10
10
10
10
10
10
01
11
11
00
11
10
00
11
00
00
10
01
10
00
00
01
10
10
00
10
00
11
10
10
00
11
10
01
11
01
10
00
10
10
00
00
00
10
10
10
10
00
00
00
11
00
00
11
10
10
11
11
01
01
00
10
10
01
00
00
10
01
10
01
10
00
00
10
11
10
00
00
10
11
11
01
11
01
11
10
11
10
01
10
10
00
01
10
00
10
11
10
10
10
00
00
00
00
11
01
01
10
00
10
11
10
11
01
00
11
00
10
11
00
00
10
10
01
00
10
10
00
01
11
11
01
10
10
10
00
00
10
10
01
00
11
11
00
11
10
10
10
10
01
10
10
01
01
01
01
00
00
11
10
01
01
10
10
01
10
11
00
00
00
11
10
00
00
10
00
01
00
00
10
01
00
10
01
11
00
00
00
00
01
10
00
11
10
00
01
11
10
01
10
10
00
00
11
10
10
01
00
11
10
00
11
10
00
10
11
00
10
11
00
11
10
11
00
11
10
00
10
10
11
01
00
10
01
00
00
00
10
11
00
01
10
01
00
11
01
00
01
10
10
00
11
10
01
00
00
01
00
01
10
10
00
10
10
10
10
00
00
10
00
01
10
00
10
10
00
11
10
01
00
11
01
10
00
11
10
10
10
01
00
11
10
01
10
01
01
00
11
10
00
01
00
10
11
00
10
00
00
01
11
00
10
00
10
00
11
10
00
01
00
10
10
00
00
10
00
11
11
00
01
00
10
00
01
10
01
00
10
11
00
01
00
11
10
00
00
10
00
00
10
10
01
01
11
10
00
11
00
00
11
10
01
10
00
00
01
00
01
00
10
10
10
11
10
00
00
10
00
00
10
01
10
10
10
01
01
10
11
10
00
00
11
00
00
00
10
10
00
00
00
00
11
10
10
00
11
11
11
10
10
00
01
00
10
10
00
00
00
10
10
00
00
10
00
10
11
10
00
00
10
01
10
11
00
00
10
10
11
00
10
00
00
11
11
10
01
11
11
01
01
00
10
10
00
00
10
10
10
00
01
10
01
01
11
10
01
00
10
00
01
11
11
01
01
10
00
10
01
10
10
00
00
11
10
01
11
00
00
10
01
00
11
00
00
11
00
00
10
10
11
10
11
01
00
00
00
10
10
11
00
00
00
10
10
01
11
11
00
00
00
11
01
10
10
00
10
10
00
00
00
00
01
11
10
11
11
01
10
01
01
01
10
10
11
11
10
00
10
10
00
10
10
10
10
00
00
01
10
10
00
11
00
10
10
00
00
00
11
10
01
10
10
11
01
00
10
00
00
10
11
10
00
01
10
00
00
10
10
01
00
10
10
01
10
10
10
01
01
10
00
00
11
11
00
01
01
10
11
00
00
10
00
00
10
10
10
00
00
11
00
10
00
10
10
00
11
10
10
10
01
01
00
00
00
10
10
00
01
00
11
10
01
11
10
00
00
10
10
10
01
01
11
00
11
00
01
10
01
01
10
10
00
01
10
01
00
10
00
01
11
00
10
10
10
11
00
10
00
01
10
00
10
10
10
11
00
00
01
00
00
00
11
00
00
10
10
10
00
10
01
00
10
00
10
11
00
01
11
00
00
00
01
01
00
10
10
10
10
00
10
00
01
10
11
10
00
01
00
00
00
11
10
00
10
00
00
00
00
10
00
10
01
10
00
01
01
01
11
01
10
00
01
10
10
10
00
10
10
00
10
00
11
11
10
00
10
00
00
10
10
11
00
11
00
10
11
00
00
11
00
10
10
01
00
01
10
00
10
10
10
11
10
01
00
10
10
10
00
00
10
11
01
00
01
10
10
11
11
01
01
00
11
00
00
10
11
00
01
00
10
00
00
10
11
10
01
10
00
00
00
11
11
10
00
01
10
10
00
01
11
01
11
10
11
10
00
01
11
11
00
01
10
00
10
01
10
01
10
10
10
10
00
10
11
00
10
10
00
11
00
00
11
01
00
00
01
01
11
10
11
11
00
11
00
10
10
00
10
00
10
11
10
10
10
11
01
10
00
00
11
10
11
01
01
10
00
10
00
10
11
00
10
00
10
11
00
10
11
11
10
01
00
10
01
00
11
01
01
11
10
00
00
00
10
10
11
00
01
10
00
11
00
11
10
10
00
00
11
11
00
10
10
00
10
01
10
01
10
10
01
10
10
00
00
00
10
00
10
00
10
10
01
10
01
10
00
00
10
10
10
01
00
01
10
01
00
00
01
10
00
00
11
10
00
10
10
10
00
01
00
00
11
11
00
01
00
10
10
01
01
01
00
10
11
00
10
00
11
10
00
00
00
10
10
10
00
00
00
00
01
11
11
00
00
01
10
10
11
00
00
10
11
10
10
00
10
10
11
11
10
11
00
01
01
00
11
11
00
00
10
10
00
10
11
00
11
11
01
00
10
10
01
00
10
10
01
10
10
00
00
00
10
10
01
01
10
11
11
00
01
10
11
00
00
10
10
00
00
10
11
11
01
00
10
00
10
00
00
10
11
10
00
00
00
10
10
10
00
10
11
01
01
10
10
00
00
10
11
10
00
10
01
10
01
00
11
00
00
11
10
01
00
11
11
01
00
11
00
00
01
10
00
10
10
00
01
11
10
11
10
11
00
10
10
00
10
10
00
10
10
10
10
10
00
01
11
00
01
10
10
00
10
10
00
10
10
11
00
10
11
00
11
01
10
01
00
11
10
10
00
10
10
00
00
10
01
11
10
00
01
01
00
10
10
01
11
10
00
00
00
00
00
11
11
00
11
10
00
00
00
00
10
11
11
01
11
00
01
10
01
00
00
10
10
10
00
00
10
11
00
01
00
00
00
10
11
01
00
00
10
10
10
00
00
11
10
00
00
11
10
00
10
10
10
11
00
10
01
10
11
01
00
01
10
11
10
10
10
01
10
10
10
01
10
10
00
00
11
00
00
10
00
01
01
00
11
00
00
10
01
10
01
11
10
11
10
10
11
11
01
10
00
00
00
01
10
10
00
00
10
10
00
00
10
00
10
11
00
01
01
10
00
10
00
00
10
10
00
01
10
10
01
00
11
10
10
10
01
11
10
11
01
01
10
11
01
00
00
10
11
10
01
00
00
11
10
01
11
10
10
10
10
10
10
10
00
00
11
00
00
10
10
00
00
11
10
10
10
00
00
10
10
10
01
11
01
11
11
11
00
00
01
00
11
10
11
00
00
00
00
00
10
10
00
11
00
01
00
00
00
10
00
00
10
11
10
10
10
01
00
11
00
11
00
10
11
01
10
10
00
10
00
01
01
01
11
11
10
00
10
10
00
10
10
00
00
10
01
01
01
10
01
10
00
11
01
00
10
00
10
10
00
00
10
10
11
10
11
00
00
11
10
01
00
01
10
01
00
11
10
10
01
01
10
11
00
00
00
00
10
01
11
00
00
11
00
00
11
10
11
01
00
10
11
00
00
01
10
10
01
00
11
10
01
00
10
00
10
01
00
11
00
00
00
00
10
11
00
01
00
10
11
00
00
11
00
01
00
00
01
10
11
11
00
01
10
10
11
10
00
01
00
11
10
11
10
10
10
00
00
11
11
00
11
00
10
00
01
00
00
11
10
01
00
00
10
00
00
10
10
00
01
00
11
00
10
10
00
01
11
10
01
10
01
00
10
11
00
00
10
01
00
00
10
11
00
01
10
00
00
10
00
10
00
11
10
01
01
10
10
11
01
00
10
00
10
10
11
00
00
10
10
10
00
11
10
10
00
00
00
10
10
00
10
00
11
00
00
00
00
00
10
00
11
11
11
10
00
00
00
01
01
10
00
10
00
00
00
00
10
10
10
00
01
11
10
01
10
10
01
01
01
01
11
00
00
00
10
10
00
10
11
10
00
00
00
11
11
00
10
10
00
01
01
00
01
10
10
00
00
01
10
00
00
01
10
10
00
00
11
00
01
10
00
10
01
10
11
10
00
01
11
10
00
10
10
11
00
11
00
10
01
10
11
01
10
11
10
00
00
11
00
10
10
10
11
10
10
11
10
00
00
10
11
00
00
11
01
10
01
00
01
01
01
10
10
01
01
01
11
10
10
10
11
00
10
10
00
00
10
10
10
10
00
00
00
11
10
00
00
01
10
00
00
10
00
00
10
00
00
11
00
01
00
10
11
10
00
01
10
11
00
00
11
00
01
01
00
10
00
01
00
01
10
10
10
10
10
01
00
00
00
00
10
00
00
10
01
10
00
00
00
10
00
01
01
10
10
00
11
11
00
00
01
10
10
00
00
11
00
10
11
10
00
00
00
01
00
01
00
10
11
00
10
00
00
10
00
01
00
10
01
00
10
01
10
10
01
01
10
11
01
10
10
10
11
00
10
10
00
11
10
10
10
00
01
00
10
10
10
10
11
11
01
00
11
00
00
00
00
11
00
11
10
00
10
10
11
11
00
00
00
10
00
01
11
01
11
10
01
00
10
11
10
00
00
01
11
00
01
00
10
10
00
10
00
00
10
00
10
01
00
00
11
10
11
00
00
11
01
10
10
00
01
01
01
00
10
10
00
11
10
10
00
00
00
01
10
10
10
10
01
10
01
11
11
10
00
00
11
11
01
01
10
00
01
01
01
10
10
00
11
01
11
00
01
10
10
01
01
10
11
11
00
00
10
01
11
10
00
11
00
00
00
11
00
01
10
10
10
01
00
00
10
01
10
10
10
11
01
00
11
00
00
11
11
10
00
00
10
10
10
01
10
01
01
00
10
00
10
10
10
01
11
10
10
01
00
10
00
11
10
00
01
10
10
11
10
00
10
00
00
00
10
10
01
00
10
01
01
10
01
00
00
10
10
11
00
10
11
11
00
10
10
11
10
11
11
00
11
00
01
00
10
11
01
00
10
10
00
10
10
00
00
00
00
01
01
01
10
10
00
10
10
00
11
10
00
01
01
10
10
00
11
10
01
00
00
10
00
01
10
11
01
10
11
01
00
10
00
00
10
10
01
01
00
11
11
10
11
00
11
00
01
11
00
01
10
00
00
10
11
01
11
10
00
00
10
00
00
10
01
00
01
00
01
10
11
10
11
01
00
10
10
10
01
00
10
01
01
11
01
10
10
11
00
01
11
10
00
11
00
00
00
10
00
00
10
00
10
00
11
10
10
11
10
01
01
10
10
10
11
00
10
01
00
00
00
10
10
11
10
00
10
00
00
00
00
10
01
10
00
11
00
11
10
00
01
10
00
01
11
10
10
10
10
00
00
10
00
10
01
10
10
10
10
10
00
00
10
11
00
01
10
10
10
00
01
00
01
10
01
00
00
01
10
10
10
00
01
00
10
11
01
00
00
00
10
10
11
00
10
00
00
11
10
00
00
10
11
00
00
10
01
00
10
00
01
11
10
00
01
00
10
01
00
10
00
00
00
11
11
00
01
11
10
11
00
01
10
10
10
10
00
00
00
11
10
01
00
01
01
11
00
10
11
00
10
10
00
00
10
00
10
00
10
00
01
10
00
00
11
00
10
00
10
00
10
10
00
01
00
10
10
00
00
00
10
10
11
10
00
01
11
11
00
00
00
11
10
01
10
10
10
10
01
00
00
10
01
01
01
10
10
00
01
11
10
11
01
00
01
10
01
10
11
01
11
00
01
00
10
00
10
10
00
00
10
10
00
11
11
01
00
00
11
11
00
01
10
11
00
10
00
10
10
00
11
10
10
00
01
00
11
10
01
00
00
10
00
10
10
01
10
01
10
00
00
11
00
01
00
10
01
01
00
10
00
00
00
10
10
10
11
00
11
10
10
11
10
11
11
10
01
00
10
10
11
01
11
10
00
10
01
00
10
00
00
00
00
01
11
01
10
11
00
00
11
00
00
11
01
01
00
00
11
10
01
00
01
11
11
10
00
10
10
10
11
01
00
11
10
01
10
10
00
11
00
00
00
11
10
00
10
00
00
11
10
10
11
00
10
10
01
00
10
10
11
10
10
10
10
10
00
00
00
00
00
11
11
10
01
10
10
10
10
11
01
00
00
11
01
00
10
10
00
10
10
00
00
10
01
00
10
00
01
10
11
10
00
11
10
10
01
10
00
00
10
00
11
10
01
10
10
00
10
10
10
10
00
10
01
10
10
00
10
01
00
10
11
10
00
10
10
00
10
11
00
00
10
10
10
00
11
10
10
01
01
00
00
11
10
11
10
10
01
10
00
00
11
11
00
01
10
00
10
00
10
10
00
00
10
11
11
11
01
10
10
10
11
10
01
00
11
01
01
00
01
11
10
01
10
00
11
10
00
10
10
11
00
10
11
01
00
11
00
10
01
11
00
00
10
10
00
01
10
00
10
10
00
11
00
01
00
01
10
10
10
11
00
01
11
10
01
10
00
10
00
10
00
01
10
10
00
11
00
01
10
11
01
11
11
01
10
00
00
11
10
00
00
10
10
00
11
11
10
01
10
00
01
00
11
00
01
00
01
10
01
10
10
01
11
00
00
00
10
01
01
01
10
00
10
11
10
01
10
10
10
11
00
11
11
00
10
00
10
01
10
10
01
01
10
11
00
01
11
11
10
00
10
00
00
00
10
10
10
10
01
11
10
11
00
10
10
01
00
10
10
00
10
11
01
11
00
10
10
00
11
00
10
10
01
00
01
10
00
00
10
10
10
01
00
11
01
10
11
00
10
01
00
01
10
00
00
10
10
10
10
00
01
10
10
00
10
10
00
11
10
10
11
10
11
10
10
00
11
10
10
10
00
01
11
00
01
00
00
10
11
01
11
10
01
10
00
00
00
10
11
00
00
00
11
10
01
11
11
00
10
11
00
11
01
00
11
10
01
01
10
11
00
00
10
00
01
11
11
01
10
10
00
01
00
10
10
00
10
10
11
00
00
11
00
11
00
10
11
01
00
10
00
00
10
10
10
00
01
11
00
10
10
01
10
00
01
10
10
01
00
11
00
00
10
00
00
00
11
10
10
10
00
00
00
00
10
01
00
00
00
11
00
10
00
11
10
10
01
00
11
10
01
00
10
00
10
10
00
11
10
10
00
10
01
00
01
10
11
01
10
01
10
00
01
00
10
11
01
00
11
10
01
00
00
00
11
10
00
00
01
10
01
10
10
10
10
01
10
01
00
01
11
01
10
10
00
00
01
10
00
00
10
10
10
10
00
10
00
10
10
11
00
01
10
11
00
00
11
10
00
00
00
10
00
00
10
00
01
00
00
10
01
01
10
00
10
01
00
01
00
10
11
11
01
01
10
11
10
00
00
00
01
10
11
00
00
10
10
00
00
10
00
10
10
00
10
10
00
00
11
00
11
10
00
10
10
00
10
00
00
10
11
11
10
10
00
01
10
01
01
10
10
11
10
00
00
10
10
11
10
01
00
11
00
10
11
01
10
00
00
11
00
10
00
11
00
00
10
11
00
10
00
01
01
11
00
00
10
00
11
00
00
10
01
10
01
00
10
00
01
11
00
11
10
01
11
10
10
00
10
00
11
10
11
11
01
10
11
10
00
00
10
00
01
10
10
10
00
00
00
11
00
00
11
10
11
10
00
10
10
00
11
10
11
01
10
10
11
10
01
11
10
01
10
11
11
00
11
10
01
00
10
10
00
00
11
10
01
10
00
00
00
10
01
00
11
10
10
00
10
11
11
11
01
01
10
10
00
01
00
11
01
01
10
10
00
00
00
10
00
00
11
00
10
10
10
10
10
10
11
10
01
00
10
10
10
00
11
11
01
11
11
00
00
11
10
01
00
10
00
00
10
11
11
11
01
00
01
10
10
00
01
10
10
00
00
10
01
00
11
10
01
00
10
10
00
00
10
10
00
10
11
11
10
10
10
11
01
10
10
00
10
00
10
11
10
10
11
01
00
11
00
10
01
00
10
11
00
00
10
11
00
11
00
00
00
10
01
10
10
00
00
10
10
11
00
01
10
00
01
00
10
10
01
00
11
11
00
01
10
10
01
10
11
00
11
11
01
10
00
00
10
11
00
11
10
00
00
01
10
00
10
10
00
01
10
01
00
10
10
01
00
11
10
00
10
01
11
01
11
10
10
10
01
10
10
00
01
10
01
00
10
10
10
01
00
10
11
00
00
00
11
10
00
00
10
00
00
01
10
01
01
10
11
00
00
10
00
01
10
10
10
00
10
01
10
10
00
01
00
01
00
10
10
00
00
00
10
11
01
00
01
00
00
01
00
11
00
00
10
10
00
00
10
10
01
01
00
01
10
10
00
10
01
01
10
00
00
00
10
00
10
10
10
11
01
10
11
00
00
10
00
00
10
00
10
10
01
11
10
10
10
00
11
10
11
00
01
10
01
11
10
00
00
01
10
00
00
10
00
00
01
11
00
10
00
10
00
10
10
10
01
10
10
00
11
00
00
01
10
01
00
00
10
10
01
00
10
11
01
00
01
01
11
01
01
00
00
00
10
00
00
10
10
00
00
00
11
01
00
10
01
00
01
10
01
00
10
00
10
10
00
01
10
11
00
01
01
10
10
10
01
11
10
00
00
11
11
00
00
00
00
00
11
11
10
00
10
00
11
10
00
00
10
00
10
11
11
01
01
11
00
01
00
10
11
00
10
00
00
11
11
11
01
10
10
00
10
00
00
01
00
11
00
10
10
10
11
10
00
00
10
10
10
00
10
01
00
01
00
01
00
01
00
11
10
01
01
11
00
01
11
01
11
10
11
01
01
10
10
00
00
10
10
10
01
10
10
10
11
11
00
11
01
01
10
11
10
00
00
01
10
00
00
10
00
00
00
01
11
10
11
00
10
10
10
10
10
00
11
10
01
10
00
00
01
10
00
00
11
10
10
01
00
00
01
10
11
10
01
00
10
10
00
00
10
10
01
11
11
10
00
11
00
11
11
00
01
11
00
11
01
00
00
11
11
00
11
10
01
00
10
01
00
11
10
10
01
10
00
00
10
01
10
10
00
00
11
10
10
10
01
00
01
01
10
11
01
00
00
10
11
00
11
10
11
01
01
11
01
00
10
10
10
00
00
11
10
00
00
00
00
11
00
10
01
00
11
10
01
10
11
00
10
10
01
10
10
00
00
00
10
00
10
10
01
11
00
00
10
00
10
00
11
10
00
00
00
10
10
00
10
10
01
11
11
10
00
00
10
10
00
11
00
00
10
11
01
01
01
01
00
11
10
11
10
00
11
10
00
10
10
01
01
11
00
01
11
10
10
10
11
01
00
11
01
00
00
01
00
10
10
00
10
00
00
11
10
10
00
00
10
11
10
00
10
10
00
00
01
00
00
00
01
11
11
00
11
10
11
00
01
00
11
00
00
01
10
00
00
10
11
10
00
00
00
10
10
00
01
00
11
11
10
00
01
10
01
00
10
11
01
01
10
00
00
00
10
00
10
10
00
10
10
10
00
00
10
10
11
10
00
10
00
11
10
10
11
00
10
10
10
00
01
10
00
10
01
10
01
01
11
11
11
10
01
10
00
10
10
01
11
01
00
00
00
01
00
10
11
00
01
01
10
00
10
10
00
00
00
10
11
10
10
10
01
11
00
00
10
01
01
10
10
01
00
00
01
01
00
01
10
10
00
00
00
10
10
00
11
11
10
10
10
10
10
10
01
00
10
00
10
11
11
00
01
00
00
00
10
11
01
01
10
11
00
00
10
11
00
01
00
10
11
00
11
01
10
10
00
00
01
00
10
11
00
00
10
11
11
10
00
01
10
11
11
11
00
01
00
01
10
10
00
11
10
00
01
11
10
00
11
10
01
10
01
11
10
10
10
11
00
00
00
11
10
00
00
10
11
10
00
00
10
10
01
00
10
00
10
10
10
11
01
01
11
11
00
00
01
00
11
11
00
10
00
10
11
00
01
00
11
01
11
10
01
00
01
10
10
00
00
10
01
10
10
10
10
10
01
01
10
10
00
10
01
01
10
11
10
00
10
10
00
01
00
10
00
01
10
10
00
10
11
11
10
11
00
00
10
10
00
00
11
11
11
10
00
10
10
11
00
10
11
00
10
00
10
00
01
10
00
10
11
10
10
01
10
00
10
00
00
00
11
11
00
11
11
11
00
11
01
00
11
01
00
11
01
00
10
10
00
11
11
11
01
10
10
01
00
00
00
00
11
10
00
00
10
01
00
11
11
00
01
11
10
11
10
01
00
10
10
01
01
00
01
11
00
11
00
10
10
00
00
00
11
00
11
01
10
10
10
00
10
10
00
00
10
00
01
10
01
10
00
01
00
01
00
10
10
11
10
10
10
00
10
00
10
10
01
00
00
10
00
10
00
00
00
01
11
01
11
10
10
01
00
10
01
01
10
10
01
10
10
10
00
10
10
10
10
11
01
00
11
10
10
10
00
01
11
00
01
00
11
11
00
10
10
00
01
00
10
00
10
00
00
10
10
10
00
00
11
10
01
01
10
01
01
10
10
10
00
10
00
00
10
00
10
01
00
10
00
11
11
10
10
10
00
00
00
10
00
00
11
10
01
00
10
11
00
10
10
11
01
10
10
11
01
01
11
11
00
11
11
00
10
10
00
10
10
00
00
10
01
00
11
10
00
11
00
01
10
10
01
01
00
10
10
00
10
10
01
00
11
10
00
10
11
10
10
10
01
11
11
00
11
00
00
10
00
10
01
00
11
01
01
11
10
01
00
00
11
10
11
11
10
00
10
01
11
00
00
01
00
10
00
01
11
10
00
01
00
11
00
10
00
10
11
00
10
10
10
11
00
01
00
11
10
10
00
10
10
10
10
00
11
10
00
10
00
01
00
01
11
10
00
10
01
01
11
00
10
10
10
01
01
00
10
01
01
00
00
10
10
10
00
00
00
01
10
10
11
00
01
10
11
00
00
00
10
11
01
01
10
00
10
00
01
11
01
01
10
11
11
10
00
01
10
00
10
01
10
00
01
10
00
01
00
11
11
00
11
01
00
01
00
10
11
00
11
00
11
00
00
10
10
01
00
00
10
01
00
11
01
10
00
00
11
01
00
10
10
00
10
00
01
11
11
00
11
11
10
01
00
10
10
00
00
11
10
00
00
00
11
00
01
10
11
10
00
01
10
00
01
00
10
10
11
10
00
00
10
00
01
10
00
00
00
10
11
10
00
10
10
00
00
00
10
00
00
11
00
00
01
10
01
10
00
01
01
01
10
10
10
00
00
10
00
01
10
01
00
01
00
10
11
00
10
10
00
00
10
10
01
11
10
01
01
10
00
00
10
10
10
10
10
00
00
10
10
10
10
00
10
00
00
10
10
10
00
00
10
00
11
10
11
00
10
11
11
10
10
11
00
00
10
11
11
00
11
10
11
01
00
10
11
01
00
10
01
01
01
01
11
11
00
00
00
10
11
11
00
11
11
11
11
00
00
00
00
11
11
00
00
11
10
10
10
00
01
10
11
00
01
01
10
11
01
10
00
11
10
11
10
00
10
10
01
11
00
00
00
01
10
01
10
10
10
11
10
00
01
10
00
10
00
10
01
11
11
10
10
10
10
00
01
00
00
01
10
01
10
11
00
10
01
00
10
11
00
00
00
00
10
00
00
11
10
01
11
10
00
10
10
00
11
10
10
00
10
10
10
00
00
10
11
01
10
10
10
11
00
10
11
01
10
10
00
00
01
11
10
01
00
10
11
10
10
00
11
10
10
10
01
00
00
10
00
10
11
11
10
10
00
11
10
00
01
10
10
10
10
11
10
11
00
10
00
00
11
01
00
11
00
10
10
10
01
01
01
01
11
11
10
11
10
01
00
00
00
00
11
10
01
00
11
10
11
10
10
11
00
01
01
00
10
00
00
10
00
00
10
11
00
11
10
10
01
10
01
00
00
10
10
00
10
00
01
00
10
11
01
00
00
10
00
00
11
10
00
11
10
10
10
01
00
11
10
01
01
01
10
10
10
00
11
00
00
10
11
00
10
10
10
00
00
01
11
01
10
00
00
10
00
00
10
00
00
10
01
00
10
10
10
00
00
11
00
00
11
10
10
10
01
00
10
00
00
10
11
00
10
00
00
10
10
00
01
01
10
11
11
00
10
10
00
01
01
01
10
10
00
01
00
10
10
10
01
00
10
10
01
00
01
11
00
00
10
01
00
10
10
00
00
00
01
00
01
01
01
10
00
10
10
11
00
11
10
00
01
10
00
10
10
00
00
10
11
00
00
11
01
01
11
00
01
10
11
00
11
11
01
00
10
10
10
00
00
11
10
10
11
01
00
10
10
00
10
10
10
11
00
11
00
00
00
00
10
10
00
10
11
00
00
11
00
10
10
00
00
00
00
11
01
10
11
11
11
00
01
10
01
11
10
10
10
00
10
00
01
10
00
00
11
00
11
10
00
00
00
11
01
00
10
10
01
00
11
11
00
10
11
00
01
10
11
00
10
10
00
10
00
10
10
10
10
00
00
00
10
00
00
10
01
10
11
00
00
00
10
10
00
00
10
10
10
00
00
11
11
10
00
00
10
10
00
10
10
00
00
10
00
00
01
11
11
10
00
00
01
00
10
10
01
00
01
01
00
10
10
01
10
10
00
11
11
00
00
10
00
01
01
00
10
11
11
00
11
10
10
00
01
10
11
10
01
00
10
00
10
00
01
00
10
10
01
10
11
00
00
10
10
10
01
00
11
00
01
10
00
10
10
10
00
11
10
11
00
00
01
11
11
00
11
10
10
10
00
00
10
10
00
00
00
10
10
11
00
10
11
10
01
00
01
01
11
10
10
11
11
01
01
11
01
11
10
01
10
10
10
01
00
00
11
10
00
00
00
10
00
10
10
10
01
00
01
10
11
00
01
11
00
00
10
00
10
01
00
00
11
11
00
00
10
00
00
01
10
11
00
01
01
10
11
00
00
10
01
00
01
10
10
00
10
11
01
00
10
00
01
00
10
10
10
00
01
11
11
00
11
00
01
01
11
00
01
10
10
11
00
11
10
11
00
00
11
11
10
00
01
10
01
10
00
10
11
00
11
11
00
11
11
00
11
00
00
00
10
11
00
01
00
10
10
00
01
01
00
11
00
00
10
10
01
10
10
01
10
00
01
11
00
00
10
10
11
01
10
00
10
10
11
00
10
10
10
10
10
01
00
01
01
00
10
01
00
11
10
00
10
10
01
01
01
10
00
00
01
00
00
10
10
00
10
10
01
00
10
10
11
01
00
01
10
00
11
10
01
00
01
11
11
10
00
00
10
11
00
00
10
00
10
01
00
10
00
10
00
00
11
11
00
00
01
11
00
11
01
01
10
10
00
00
10
10
00
10
10
00
10
00
00
11
10
00
00
11
00
00
00
00
10
10
00
10
10
11
00
01
00
10
10
01
01
10
10
01
01
11
10
11
00
10
00
11
10
00
01
00
10
10
01
11
10
00
10
00
01
11
10
01
11
00
10
10
01
01
11
00
10
01
00
00
10
10
00
11
00
00
10
10
01
01
11
00
01
10
00
10
00
00
10
00
01
00
00
01
00
11
10
00
10
10
11
11
01
00
10
01
11
10
00
10
11
10
10
01
00
10
11
11
01
10
00
00
10
11
10
00
00
11
10
00
00
10
10
00
00
00
11
11
00
01
00
00
11
00
10
10
00
10
10
01
00
10
01
10
00
01
00
00
01
01
10
00
01
10
00
00
10
11
01
10
00
00
10
10
01
00
11
10
00
01
10
10
01
00
01
01
11
10
00
00
11
10
00
00
10
10
01
10
10
00
10
01
10
11
01
01
11
10
11
11
01
00
10
11
01
00
10
00
01
10
01
00
11
10
10
10
10
10
00
00
10
00
01
00
00
10
10
10
10
10
00
11
10
01
01
10
01
10
00
00
10
10
10
10
00
01
00
11
01
11
01
00
00
10
10
00
00
10
10
10
11
10
11
10
11
01
00
11
10
10
11
00
01
01
11
00
01
11
10
00
00
10
00
10
11
10
00
00
10
01
01
00
00
01
10
00
00
10
10
01
00
10
10
10
01
10
01
10
10
00
10
00
01
10
00
10
10
01
11
10
11
11
00
00
11
11
11
00
01
00
10
00
10
10
00
00
11
01
10
01
01
00
01
00
10
00
00
10
10
10
01
00
11
11
10
11
00
10
00
10
00
00
00
00
11
00
00
00
10
00
10
01
11
11
10
00
11
10
10
10
00
00
10
00
11
00
00
00
01
00
00
00
01
00
11
10
00
00
01
10
10
00
01
10
10
10
00
11
11
10
00
00
00
00
01
10
10
10
00
00
11
01
10
10
01
10
00
00
10
01
10
11
01
11
01
10
11
10
00
01
11
11
01
10
01
01
11
00
10
10
01
01
11
11
10
00
11
11
00
00
10
10
01
00
00
00
00
10
10
10
10
10
00
00
00
11
00
11
11
01
00
10
11
11
11
00
00
00
00
00
10
01
00
00
11
10
01
00
11
11
00
00
10
00
00
01
00
01
11
10
10
10
01
10
11
11
11
00
00
11
01
10
01
10
10
10
10
00
00
00
10
10
00
00
01
00
10
11
11
01
10
10
00
11
10
00
01
00
10
10
01
10
11
00
10
00
00
10
11
10
01
01
00
00
00
10
00
10
10
10
10
01
00
01
11
00
00
10
00
00
00
11
11
01
11
11
10
10
00
00
10
11
11
01
10
10
10
10
01
10
01
00
00
00
10
01
10
00
00
10
01
00
00
11
00
00
10
00
01
00
10
01
00
00
10
10
00
00
10
11
11
00
00
10
11
00
01
10
10
00
00
10
10
00
00
10
01
00
01
00
10
00
01
00
11
10
00
11
10
11
11
11
00
00
10
11
11
00
00
10
10
00
10
10
10
00
10
00
01
00
10
00
11
00
01
10
11
10
01
00
11
10
00
10
11
10
00
00
10
11
10
10
11
10
10
00
00
00
10
01
10
11
00
10
10
01
10
01
00
10
11
00
00
00
01
10
11
10
11
01
00
11
00
10
10
10
01
10
10
00
11
10
00
00
10
00
10
11
11
00
00
10
10
11
10
11
01
00
10
01
00
10
00
01
11
10
00
10
00
00
11
00
01
00
11
00
11
10
10
01
00
01
11
11
01
10
00
01
11
00
00
10
11
11
01
00
10
10
00
11
00
10
10
10
10
01
01
11
10
10
10
00
10
01
00
01
10
10
10
11
10
00
10
00
11
00
00
10
00
00
10
10
00
01
00
10
11
10
10
00
10
11
00
01
00
10
11
00
11
00
11
10
00
00
10
01
00
10
11
10
01
01
01
00
10
10
00
01
11
00
01
01
00
10
10
10
00
00
10
11
10
10
00
10
10
10
11
00
00
10
00
10
10
10
00
00
00
01
10
11
00
10
10
10
10
10
10
01
11
11
10
11
00
10
01
10
11
01
00
11
10
11
00
00
11
00
00
00
11
11
01
10
10
00
01
11
00
00
11
01
00
10
10
01
00
01
00
11
10
00
11
00
10
10
00
00
00
01
10
00
10
11
00
11
00
01
00
00
10
10
01
00
10
10
10
00
00
11
11
11
11
00
10
10
01
00
11
00
10
10
10
00
01
00
10
00
00
10
10
10
10
10
01
00
00
10
10
00
00
11
11
10
10
00
00
00
10
00
10
10
00
11
00
11
01
11
10
01
01
10
10
00
00
00
00
10
10
10
00
10
00
10
10
10
11
00
00
10
10
10
00
00
10
11
00
00
10
01
11
00
00
10
01
00
10
00
00
10
00
10
11
10
00
10
10
01
11
01
11
11
10
11
11
10
01
00
10
11
10
01
00
11
10
01
00
11
11
00
01
11
10
01
10
11
00
00
11
11
01
00
10
10
00
01
11
00
00
00
00
00
10
10
01
00
10
00
00
11
10
00
01
00
10
10
11
01
00
00
10
10
00
01
00
10
10
00
10
11
11
11
01
00
00
11
01
00
00
00
10
00
10
11
11
00
00
11
00
10
00
10
00
00
00
00
00
10
00
00
10
10
10
10
00
00
00
00
10
01
00
10
10
10
10
10
10
00
10
10
10
11
00
00
01
10
11
10
00
00
10
01
10
10
00
11
11
11
10
10
10
10
00
00
11
11
10
11
01
01
00
00
10
10
00
00
10
10
00
10
10
00
01
11
10
00
00
10
01
10
10
01
10
00
01
10
01
10
10
11
10
11
00
00
11
11
10
00
00
10
01
01
10
11
01
01
11
11
01
01
11
11
11
00
00
10
10
00
01
10
10
00
01
01
01
10
01
11
01
00
00
11
01
00
11
10
11
00
10
00
10
10
01
11
01
00
10
11
10
10
10
11
00
00
11
00
00
01
00
10
00
11
00
00
10
10
10
11
00
01
00
00
01
10
10
10
10
00
00
10
01
11
10
10
10
10
00
10
01
11
00
00
00
00
11
01
01
11
10
01
10
11
10
00
00
10
10
01
10
10
01
10
10
01
10
10
10
01
10
00
11
10
00
01
10
00
00
11
00
10
11
10
00
10
10
10
10
00
00
10
10
01
00
10
00
11
00
00
11
10
00
00
01
01
00
01
00
10
10
11
10
10
00
00
00
00
10
11
00
01
10
10
10
10
01
01
10
10
00
00
00
01
00
10
10
00
10
00
00
10
10
10
10
00
10
01
01
10
00
10
01
00
00
10
10
01
01
00
10
10
11
10
01
01
10
00
00
00
01
00
10
10
11
01
11
10
00
00
01
10
11
10
01
10
00
01
10
10
10
10
00
11
10
01
10
10
01
00
10
00
01
10
01
00
11
10
01
00
01
00
11
00
00
10
11
01
00
00
10
11
01
00
00
10
11
10
10
01
10
01
10
00
00
10
00
10
11
00
00
01
01
11
10
11
11
00
00
10
01
00
10
11
11
00
10
00
00
10
10
01
00
01
10
10
10
10
11
00
01
10
00
00
10
10
11
11
00
01
11
00
00
11
00
10
10
10
10
10
01
00
10
10
01
10
00
00
00
01
01
11
10
00
00
00
10
00
10
11
00
00
00
11
11
01
10
10
00
00
00
10
10
00
00
00
10
10
10
11
00
10
01
00
10
01
00
00
01
00
10
00
11
10
10
00
00
01
10
00
00
00
00
11
10
10
00
10
00
00
10
00
00
00
11
00
00
00
10
00
10
10
01
10
00
00
01
11
01
00
10
11
11
11
00
00
10
10
11
00
00
00
10
11
01
00
01
10
11
10
11
10
00
00
11
10
01
10
11
00
00
00
00
00
00
10
00
01
00
00
10
10
10
00
01
10
10
11
11
11
11
11
00
01
01
00
10
11
01
00
11
10
11
00
00
10
11
10
01
10
10
00
00
01
10
10
00
01
11
01
00
10
00
10
00
10
00
00
10
10
10
00
00
10
00
00
01
01
11
10
10
00
00
11
11
01
00
10
11
10
11
00
11
11
01
10
10
00
01
01
10
01
11
10
10
10
01
01
10
11
11
10
11
10
01
10
01
11
10
01
10
01
00
10
10
00
00
11
00
01
10
10
00
01
10
10
11
10
01
11
10
01
10
10
11
00
01
10
10
00
00
10
11
10
01
10
10
10
01
00
11
00
11
00
01
01
01
11
10
10
01
00
11
11
00
01
00
11
10
10
01
10
10
00
11
00
00
10
01
00
10
11
10
01
00
10
00
00
00
11
00
00
10
10
00
10
01
10
10
00
01
10
10
11
00
01
10
10
00
00
10
00
10
10
11
01
00
10
10
00
00
01
01
10
11
10
00
01
10
11
00
00
10
10
01
00
10
10
11
10
00
01
00
10
00
00
10
10
10
01
00
00
10
10
00
10
11
00
10
10
01
10
00
10
01
10
01
01
10
10
00
10
01
00
10
10
00
00
00
00
10
10
11
11
00
00
10
10
00
10
00
00
11
00
10
00
11
10
11
11
00
11
00
10
01
01
11
10
01
01
00
10
11
01
01
11
10
11
00
00
11
00
00
01
00
10
11
00
00
00
10
00
10
10
00
00
00
10
00
10
10
00
01
01
10
10
11
00
10
00
00
11
00
10
10
10
00
10
10
01
00
00
10
00
00
00
11
10
11
10
00
10
10
11
00
10
10
10
10
10
10
00
10
11
01
10
10
00
00
11
01
10
10
10
11
10
00
10
10
10
01
11
10
01
11
00
00
00
00
00
10
10
11
00
11
10
11
10
11
00
00
01
10
01
11
10
01
00
01
10
00
00
11
10
00
10
11
10
00
00
11
00
01
00
00
11
00
00
11
10
01
10
00
10
00
01
10
01
10
11
00
00
01
11
10
01
00
11
11
01
01
01
01
00
10
10
01
11
11
00
01
00
00
00
11
10
00
10
01
00
10
10
10
10
10
01
00
11
00
10
10
00
10
11
01
00
01
10
00
10
11
00
00
01
11
01
00
11
10
10
00
00
11
10
11
00
10
10
00
10
10
10
01
10
11
00
10
11
00
11
00
00
10
10
10
01
10
11
11
00
11
00
11
00
00
10
00
10
01
01
10
11
00
00
10
10
10
01
00
11
10
00
10
10
01
00
10
11
00
00
01
11
00
10
11
00
01
11
00
11
10
10
01
10
10
11
10
00
01
10
10
00
10
10
10
00
00
00
10
10
10
00
10
10
01
10
00
00
10
00
10
01
00
00
10
00
01
10
10
00
10
10
10
10
10
11
00
00
00
00
00
10
10
00
01
10
10
00
00
10
00
00
01
10
00
00
11
10
10
00
01
10
00
01
00
10
10
11
10
01
00
11
00
11
01
00
10
10
10
00
01
10
11
10
10
00
10
10
00
00
00
01
11
00
10
10
00
01
11
00
10
00
10
01
11
01
11
00
11
10
01
10
10
00
01
10
10
01
11
00
00
11
01
11
11
00
10
10
11
00
10
10
00
01
00
11
11
11
00
01
00
01
11
10
00
11
10
00
01
00
11
10
01
10
01
00
10
00
10
00
00
10
11
00
00
01
10
11
00
01
00
00
10
10
00
00
10
11
00
01
10
00
11
00
10
11
01
11
10
01
00
00
10
00
00
11
10
00
11
10
00
01
10
11
00
00
10
00
00
10
01
00
01
00
10
10
00
10
11
00
10
10
10
10
11
11
10
00
01
10
00
11
01
10
00
00
11
01
01
00
00
10
10
10
00
10
10
11
10
00
10
10
00
10
10
10
10
00
11
00
10
10
00
11
01
11
10
11
10
01
01
00
10
10
01
10
10
00
00
00
10
00
10
00
10
10
10
00
01
10
00
10
10
01
00
11
11
01
11
11
00
10
00
00
00
10
11
00
10
01
01
10
00
00
10
01
00
11
00
11
00
01
11
00
10
11
01
00
01
10
10
00
00
11
11
10
10
01
10
10
10
00
00
10
10
10
10
00
00
11
10
11
10
10
00
00
00
10
00
00
11
11
10
11
10
01
00
00
11
10
00
10
00
00
10
00
00
00
01
10
00
01
11
11
10
00
01
10
11
10
00
00
10
10
00
10
11
11
11
11
11
11
11
10
00
00
00
10
10
11
00
10
10
10
10
00
10
10
10
01
00
01
01
01
10
01
00
00
00
10
10
00
01
10
10
10
10
11
10
00
00
10
11
11
00
01
00
00
10
11
11
00
11
11
00
10
10
01
01
10
10
00
01
11
00
01
11
11
11
11
00
00
10
00
10
10
00
01
11
10
10
00
10
10
10
00
01
00
11
01
10
11
00
10
10
10
00
10
10
00
00
00
00
00
10
10
11
00
10
00
00
01
10
00
01
10
00
00
00
00
10
11
01
00
10
10
11
10
10
00
10
10
00
00
00
01
01
11
11
10
01
00
00
01
11
00
11
00
11
11
00
11
00
10
00
00
10
00
10
10
01
00
00
00
10
01
10
00
10
00
10
00
10
11
01
01
00
01
11
00
01
10
01
10
00
01
10
01
00
01
10
10
00
01
01
10
10
00
10
10
00
00
11
00
10
11
01
01
10
10
11
10
11
00
01
10
10
01
01
11
11
11
00
01
01
11
11
01
01
11
00
10
10
00
00
10
10
00
00
11
10
00
01
00
10
11
00
01
10
10
11
11
10
00
11
10
01
00
01
00
10
01
00
10
10
10
00
00
11
11
10
11
10
00
11
01
00
10
10
01
01
00
00
01
10
11
11
01
10
11
11
10
11
00
01
10
01
00
11
01
01
10
11
01
00
10
11
00
00
10
00
10
10
00
00
00
00
00
00
01
10
10
00
00
10
00
10
10
00
00
10
10
10
00
10
01
00
00
10
10
11
00
01
10
11
11
10
10
00
10
10
01
01
00
00
11
01
11
10
10
01
00
01
00
10
11
00
11
10
00
01
00
10
10
11
00
00
00
11
11
01
00
01
01
00
11
01
11
10
10
00
01
11
10
10
00
00
00
01
10
00
01
10
10
10
11
10
00
11
00
00
00
01
11
01
01
10
10
00
01
10
10
00
00
11
11
10
00
10
01
11
10
10
00
10
11
00
00
11
01
10
10
10
10
01
00
00
00
00
00
00
01
10
00
10
00
00
10
10
10
10
01
01
00
01
11
00
10
00
00
10
00
01
00
10
11
11
01
10
10
01
10
10
10
10
00
00
00
00
10
10
10
00
00
00
10
00
01
10
00
11
10
00
00
10
11
00
10
10
10
00
01
01
10
11
01
11
10
10
00
10
01
00
11
10
01
11
00
00
00
11
10
11
00
01
01
00
00
11
01
00
00
10
10
00
11
10
00
10
10
10
10
00
00
10
10
01
00
00
01
11
00
10
10
00
00
10
10
00
01
11
10
00
00
10
11
00
00
01
00
01
11
11
10
00
10
00
01
00
10
10
00
00
01
11
10
10
00
01
10
10
01
01
00
00
01
11
01
00
01
10
10
01
10
01
10
11
01
11
00
11
01
00
10
10
00
01
11
00
00
10
00
00
10
10
10
10
10
00
10
10
10
11
11
01
00
00
01
10
01
10
10
10
10
10
00
11
00
11
10
00
01
10
11
00
00
01
00
10
00
10
10
01
01
01
11
00
11
00
00
00
01
11
10
10
00
01
10
11
11
00
01
10
10
10
11
01
01
10
10
10
11
01
10
00
01
10
00
00
00
11
10
10
11
01
10
00
11
10
01
11
01
11
00
01
10
10
00
11
10
01
00
10
00
00
10
10
00
01
11
01
01
10
10
01
10
00
01
10
10
01
00
11
00
10
11
10
01
00
10
00
01
10
11
11
10
01
11
01
00
10
10
00
00
11
10
01
01
00
10
10
11
10
01
01
10
00
01
01
11
01
01
10
00
01
11
10
01
10
10
00
01
00
11
10
01
10
01
10
10
11
00
10
10
00
01
10
00
10
10
01
00
10
10
10
00
00
10
00
00
10
11
10
10
01
01
00
00
00
10
00
00
11
10
11
00
11
00
00
01
01
10
10
00
00
00
10
01
10
10
00
00
11
10
10
00
10
10
11
10
00
01
11
00
10
11
01
00
00
10
10
10
00
10
00
01
10
10
00
11
11
00
10
11
11
10
00
00
10
00
00
11
00
10
11
11
10
00
00
10
10
11
11
00
11
10
00
00
00
11
01
00
10
10
00
00
01
11
11
00
00
00
00
01
10
01
00
10
10
00
00
00
00
11
10
00
00
10
10
10
11
00
11
00
00
10
10
00
10
10
01
00
01
10
00
10
10
01
10
11
00
10
10
00
10
00
01
10
00
00
01
01
10
00
10
00
01
10
10
10
01
00
00
01
11
11
00
11
10
11
00
10
10
00
00
10
00
00
10
10
10
00
01
00
01
10
11
00
00
00
10
00
01
11
00
00
10
11
00
11
00
01
00
10
10
00
00
10
01
01
11
10
10
10
00
11
01
00
10
10
00
10
00
01
10
01
10
00
00
10
10
00
00
00
10
00
00
10
00
00
00
10
00
10
01
00
10
10
10
10
00
00
00
11
10
11
10
01
00
10
00
10
00
00
11
11
01
10
01
10
10
01
10
10
00
10
10
01
00
10
11
00
11
11
10
00
00
01
01
11
11
11
10
00
00
01
00
00
11
01
11
00
01
10
10
11
10
00
00
00
10
00
00
00
00
01
11
01
00
01
10
10
00
01
10
10
01
00
00
01
11
11
00
10
10
01
00
01
00
10
01
11
11
01
00
00
00
10
11
10
00
00
10
10
10
00
10
11
01
00
00
10
00
11
10
10
00
01
11
11
10
00
01
11
10
11
01
01
10
10
00
01
00
11
11
10
00
10
11
11
10
00
01
01
11
10
00
01
00
11
11
00
00
00
10
10
00
00
00
10
10
10
10
10
00
10
10
10
10
00
11
00
00
10
10
00
01
11
10
10
00
00
00
01
00
00
00
10
10
11
10
01
10
10
11
10
01
01
00
10
10
01
11
00
00
11
10
01
10
00
10
11
00
10
11
00
11
11
10
11
10
00
10
11
00
01
10
11
00
10
10
10
10
00
00
10
00
01
11
11
10
10
00
01
10
10
00
01
00
01
10
01
10
11
00
01
00
10
01
01
00
10
00
00
11
11
00
01
10
11
11
11
10
11
11
00
10
11
10
00
00
00
00
11
10
10
00
10
11
10
01
00
10
10
01
11
00
11
10
00
00
00
10
01
01
10
00
10
10
10
00
00
10
10
10
10
00
10
10
11
00
10
00
01
11
00
00
10
10
00
01
10
00
01
00
00
10
10
00
00
00
01
00
11
00
01
00
10
01
11
10
00
10
10
00
00
10
00
00
11
10
11
00
00
11
10
00
10
11
00
01
01
11
10
01
10
10
00
00
11
11
10
01
01
10
11
00
10
11
00
01
00
10
01
00
10
10
00
00
00
00
10
10
11
10
00
10
01
00
00
11
10
10
00
10
10
11
10
00
10
10
10
10
10
10
00
11
11
11
00
10
00
00
01
01
00
10
10
00
00
10
01
00
00
00
10
00
00
11
11
11
10
11
00
00
00
11
01
10
00
01
11
00
11
11
00
01
11
01
10
10
00
01
10
10
11
00
10
10
10
11
11
11
00
01
10
11
10
00
10
10
11
00
00
01
00
11
10
10
00
00
00
10
01
10
10
11
00
01
11
01
11
00
10
00
00
10
00
00
01
00
11
11
00
10
11
00
10
10
00
10
10
10
10
10
00
10
10
10
10
11
11
10
00
10
11
00
01
10
00
00
00
00
10
11
00
10
10
00
10
11
01
00
10
10
00
00
00
00
01
10
00
00
11
10
10
01
00
11
10
01
00
01
10
01
00
10
01
00
10
11
01
00
00
10
00
11
10
01
00
00
10
10
01
00
10
10
00
00
00
10
00
10
11
00
01
11
00
10
00
10
01
00
01
11
10
11
10
10
00
10
10
10
01
00
10
00
10
10
11
11
01
10
10
00
00
01
10
10
01
01
11
10
10
01
10
10
11
10
01
00
00
10
10
00
00
01
11
10
10
01
00
11
11
10
01
00
00
10
11
00
00
10
00
00
01
00
10
00
00
10
00
00
10
10
00
11
00
00
10
00
01
10
00
10
11
00
01
01
00
00
10
01
00
01
11
10
01
10
11
00
00
01
10
00
11
00
00
10
10
00
00
10
01
00
01
11
00
10
10
01
10
10
00
01
00
00
10
10
10
00
10
10
01
00
00
10
01
01
10
10
00
00
00
01
00
01
11
01
10
10
10
00
00
11
00
00
00
00
01
00
11
11
00
00
00
00
10
00
00
10
00
01
00
00
00
00
10
11
00
10
11
10
11
00
00
10
10
10
00
00
11
11
00
01
10
00
00
00
00
00
01
10
01
01
00
11
01
10
10
01
01
11
10
10
01
01
01
10
00
01
10
01
01
10
10
00
01
10
10
00
10
11
01
11
00
01
10
01
10
00
01
11
00
10
10
00
00
11
10
01
00
10
01
11
11
10
00
10
11
11
01
01
10
10
00
00
00
11
01
00
00
10
00
01
10
11
00
00
00
10
10
10
11
00
10
00
00
11
10
01
01
10
00
00
10
10
10
01
01
00
11
10
10
10
00
00
00
11
10
01
11
10
10
00
00
11
10
00
00
11
10
10
01
10
11
00
00
10
10
00
00
11
11
10
01
10
10
10
00
00
11
00
01
10
01
00
10
10
00
11
11
11
00
00
11
00
01
01
10
11
10
01
01
00
11
11
01
00
11
00
10
00
11
00
01
00
01
01
00
10
01
00
10
11
10
10
01
01
11
11
00
00
10
11
00
01
10
11
10
10
00
01
10
11
11
00
11
11
10
01
00
11
10
00
00
10
10
00
10
10
00
00
10
00
10
01
00
10
00
00
11
10
10
10
10
10
10
10
01
10
11
01
10
00
00
00
10
11
01
11
00
10
01
10
00
00
01
10
00
00
00
10
10
00
10
01
10
01
01
00
10
00
10
00
00
10
10
00
00
01
10
11
10
10
11
10
10
11
00
00
10
00
00
01
10
11
01
10
00
11
11
10
01
00
11
10
00
10
00
00
00
01
00
10
10
10
10
10
01
01
11
00
10
00
11
01
01
01
10
10
11
01
00
00
11
10
11
00
00
11
10
11
01
10
10
10
00
00
00
10
10
01
00
10
00
00
10
01
11
10
11
10
00
11
00
00
01
00
10
00
01
00
10
11
01
00
00
01
11
10
10
01
00
11
10
10
10
11
00
01
11
10
00
00
10
10
10
00
00
10
00
10
10
11
10
11
10
11
10
11
00
10
10
00
00
10
00
10
00
00
00
00
11
00
11
01
00
00
10
11
00
11
11
00
10
01
01
01
00
10
11
10
00
00
10
10
01
11
00
10
10
10
10
11
10
01
00
01
10
00
10
00
10
10
00
00
01
01
01
10
11
10
00
10
11
01
01
01
10
00
01
10
10
11
11
00
01
11
00
01
11
11
01
00
10
11
00
00
00
10
11
10
10
00
10
00
00
10
01
11
11
11
00
10
00
00
00
00
10
10
10
10
00
01
10
11
11
01
01
11
11
00
10
11
00
00
11
10
01
10
00
10
01
11
10
00
00
00
10
00
10
10
01
10
11
11
00
11
10
11
01
00
01
11
10
10
10
00
01
01
11
10
00
11
01
10
11
01
00
11
10
00
10
01
00
01
00
10
00
01
10
11
10
00
10
01
00
11
11
00
00
10
10
10
00
00
10
00
10
10
00
01
01
10
10
10
00
10
01
10
11
10
11
01
11
10
01
00
00
01
10
01
11
10
11
10
00
10
11
01
00
11
11
01
10
10
00
01
11
10
00
00
10
10
10
11
10
10
01
01
11
11
10
00
00
00
00
10
11
00
11
10
10
01
11
00
01
10
10
00
00
00
10
10
01
11
00
00
10
00
10
10
10
10
00
10
10
00
01
10
00
00
00
01
10
10
11
01
10
10
00
00
00
11
00
11
10
11
10
11
00
00
01
10
01
00
10
10
11
00
00
11
10
01
00
00
10
00
00
10
01
00
11
10
11
10
01
10
10
10
10
10
01
10
01
00
10
01
00
10
10
01
00
11
00
00
00
00
11
00
01
10
10
00
00
10
01
10
10
11
00
10
10
10
01
11
10
01
01
00
10
10
00
10
11
00
01
10
00
10
00
00
11
10
10
00
01
01
11
00
00
10
00
10
01
10
00
00
01
11
01
01
10
10
01
01
10
00
00
11
01
00
11
00
00
11
10
11
10
00
00
11
10
10
00
01
10
10
00
00
00
01
00
11
01
01
10
00
10
11
10
00
10
10
00
11
00
00
00
10
00
00
10
10
01
01
00
10
11
00
10
11
10
11
10
00
01
01
01
10
00
00
00
00
00
00
10
00
10
00
01
01
01
10
10
10
10
00
00
11
11
00
11
10
00
11
10
00
01
00
10
01
10
11
01
11
10
00
01
11
10
01
00
01
01
01
00
10
00
00
11
10
10
00
10
10
01
00
10
10
11
01
10
10
01
00
10
11
01
00
10
00
01
11
00
10
00
00
00
10
10
00
00
10
00
10
11
00
00
00
10
11
11
10
01
01
10
00
11
00
10
00
00
10
01
00
00
10
11
01
01
10
10
01
10
01
11
10
01
00
00
11
01
00
00
10
10
10
10
01
00
00
00
00
10
10
00
00
00
10
10
11
00
10
10
11
00
00
01
00
11
00
10
00
00
11
00
01
10
00
11
11
11
10
11
01
00
10
10
00
00
10
10
10
00
11
00
10
10
00
11
10
00
10
10
00
11
01
01
11
11
10
00
10
01
01
00
10
11
00
00
10
00
01
00
10
10
10
00
10
01
00
10
01
10
11
00
10
01
11
01
11
11
00
01
00
10
11
00
10
00
00
11
00
10
10
00
10
11
10
10
01
11
01
01
11
11
00
00
11
00
00
11
00
00
00
01
10
01
10
00
00
10
11
10
10
00
10
00
01
01
11
00
10
00
01
01
00
10
10
00
01
00
10
00
00
10
00
11
01
00
11
11
10
01
00
10
11
11
00
00
00
10
00
01
10
10
00
01
11
00
11
01
01
11
00
01
10
11
01
10
10
01
10
00
10
10
10
10
00
00
11
00
10
11
01
11
01
10
11
01
10
00
10
11
01
00
10
10
00
11
10
00
11
10
00
10
00
00
01
00
10
11
01
11
11
10
10
11
11
00
00
11
10
01
10
00
01
01
11
11
11
00
00
10
00
10
10
01
10
10
10
00
10
10
10
00
01
01
01
10
00
10
10
01
01
10
10
00
01
10
00
10
11
00
00
10
10
00
11
11
10
11
00
10
01
00
01
11
00
00
10
10
10
01
00
10
01
00
00
11
00
00
11
00
10
00
01
00
00
00
00
10
00
01
00
11
10
00
01
00
10
01
10
10
01
01
11
01
11
00
10
00
00
10
00
01
10
10
01
11
10
10
00
00
11
00
10
11
00
00
01
11
00
01
01
01
10
10
11
10
01
01
00
10
00
01
11
10
11
00
01
10
00
11
10
00
01
01
11
01
00
10
01
11
01
11
10
01
10
10
00
00
10
11
00
00
00
11
01
10
11
00
11
10
00
10
11
10
00
10
00
01
01
00
10
11
11
00
10
10
00
10
10
01
10
00
00
01
01
11
00
01
11
00
10
10
10
10
00
00
10
11
00
11
10
01
11
00
10
10
10
00
10
11
00
10
11
00
01
10
01
00
00
10
10
01
00
00
01
00
11
01
10
11
10
11
01
01
11
01
01
11
10
10
01
00
10
10
00
00
00
01
10
10
01
10
00
00
01
00
10
10
01
00
00
00
00
11
11
10
10
00
11
10
10
00
11
00
11
01
00
11
00
10
10
00
00
10
11
00
01
10
11
10
01
00
11
01
01
11
10
00
11
00
00
10
00
00
10
10
00
00
01
10
11
10
10
01
00
00
10
01
10
00
10
00
00
10
10
11
10
10
00
10
00
11
10
00
00
10
11
10
10
00
00
00
10
10
00
00
00
00
10
10
11
11
01
00
01
10
10
00
00
11
01
01
10
11
10
00
10
00
01
00
11
10
00
00
00
10
10
11
00
00
10
10
00
00
00
00
10
00
01
00
00
11
10
10
00
10
00
01
11
11
00
01
10
11
10
00
10
10
10
01
01
01
00
10
11
11
11
10
00
00
10
00
00
00
10
00
10
00
00
10
11
00
00
10
01
10
10
11
01
00
10
10
01
00
11
11
00
00
10
10
10
10
01
00
11
10
11
01
01
01
01
10
00
10
00
10
11
10
00
10
11
00
10
01
10
00
00
10
11
11
11
00
01
00
11
01
00
11
10
00
10
11
00
00
10
10
00
00
00
11
10
00
11
01
10
11
01
00
01
10
00
00
10
11
11
01
01
10
11
00
11
00
10
10
00
00
00
00
10
11
11
10
01
10
01
01
10
10
01
10
10
00
01
10
01
01
11
11
10
10
00
00
00
11
10
01
00
10
00
10
10
00
00
00
10
00
11
10
10
00
00
10
01
10
11
00
00
00
10
10
10
11
00
10
10
00
00
11
00
11
11
11
00
11
00
01
10
00
00
10
01
01
11
00
00
10
00
00
10
11
00
00
11
00
00
00
00
00
10
00
10
11
10
01
00
11
00
01
10
10
00
00
10
00
10
01
11
10
10
11
10
01
10
00
10
01
01
11
00
00
11
10
10
11
00
00
10
11
00
10
11
10
11
00
00
00
00
00
10
01
00
11
10
01
10
11
10
10
10
10
01
00
11
10
10
00
10
00
00
01
10
11
11
01
01
00
00
11
00
01
11
10
01
10
11
10
00
00
00
10
10
00
00
00
00
00
11
00
00
00
00
10
00
10
10
01
00
10
11
10
00
01
00
10
01
11
10
01
00
01
01
00
10
00
00
10
11
11
00
10
01
00
10
10
10
00
10
00
01
01
00
00
01
10
11
00
00
11
10
00
00
00
10
00
11
00
00
00
10
10
00
00
01
10
00
10
00
01
10
00
10
01
10
01
10
11
10
01
00
11
10
10
10
00
00
11
10
10
10
00
00
00
00
10
00
01
00
10
00
01
01
10
10
01
00
11
10
10
10
10
11
00
10
11
11
11
01
01
01
11
11
01
10
10
00
00
10
10
00
01
00
10
10
10
10
00
01
00
11
11
01
11
10
11
11
10
00
00
10
00
00
11
10
10
01
00
10
10
11
11
00
00
00
00
00
00
10
10
00
00
10
01
10
10
01
10
11
01
00
10
00
01
00
11
10
01
11
01
01
10
10
11
00
00
10
10
00
10
01
10
10
11
00
01
00
10
10
00
00
10
01
00
01
10
00
10
10
00
00
00
10
00
00
10
10
00
00
11
00
01
10
00
11
00
11
10
01
00
01
00
11
10
01
10
10
00
10
10
00
00
00
10
11
11
11
00
10
00
10
00
01
00
10
10
01
11
10
11
10
11
01
10
00
01
00
10
00
01
10
01
00
10
11
11
11
00
11
11
00
00
01
00
00
10
10
10
11
00
00
10
00
01
10
00
10
10
00
00
10
10
01
10
11
00
10
10
00
10
11
00
00
00
10
01
00
00
11
00
00
00
11
00
11
11
00
10
01
00
10
10
11
00
00
00
00
11
10
00
00
10
10
00
00
10
10
11
10
00
00
00
00
10
11
00
01
10
11
00
01
00
10
10
00
01
10
10
11
01
00
10
00
00
11
10
01
00
10
00
10
00
11
11
00
01
00
01
10
10
10
10
10
00
01
00
11
10
11
00
00
01
00
01
10
11
00
00
00
00
00
10
01
11
01
01
10
11
00
10
10
00
01
11
00
10
10
10
00
10
10
00
00
01
10
10
11
00
00
11
01
01
00
11
00
10
11
10
00
11
11
01
01
10
11
00
00
10
01
10
11
10
00
00
10
00
01
00
11
00
10
11
01
11
11
10
01
00
10
10
01
00
11
10
00
10
00
01
11
10
01
10
11
10
11
10
00
00
01
00
10
01
10
10
00
11
01
00
10
10
00
10
10
01
01
11
00
01
11
11
10
00
01
10
10
10
00
01
10
10
01
11
10
10
10
01
01
01
00
11
00
01
10
00
10
00
00
11
00
00
11
11
10
10
11
00
10
01
00
10
10
00
00
00
10
10
00
01
00
01
10
10
10
10
10
00
00
10
10
10
01
00
11
10
01
10
00
11
00
01
00
10
10
00
10
11
11
00
01
11
00
00
01
10
00
00
10
00
11
00
01
11
10
01
00
10
10
00
00
10
00
10
11
10
01
10
10
11
00
00
10
01
00
01
10
00
01
00
01
10
10
00
01
11
00
01
10
10
11
10
01
01
00
10
01
10
00
01
10
00
01
01
10
11
11
00
00
10
10
10
10
10
01
11
11
00
00
00
10
10
10
01
00
10
00
10
11
11
11
10
10
11
10
00
00
00
00
10
00
10
00
01
00
00
11
10
01
00
11
10
10
00
00
10
00
11
10
11
00
00
10
11
10
01
01
10
00
10
00
00
10
10
10
00
01
10
10
10
01
01
10
01
01
10
00
10
01
10
10
00
10
00
00
01
10
11
00
00
10
10
11
01
00
00
11
11
00
11
01
10
10
00
01
00
10
10
11
10
10
10
10
01
00
11
01
10
10
00
01
11
10
01
10
10
10
00
00
00
01
10
00
11
00
00
10
00
10
00
01
01
10
10
00
11
11
10
01
00
11
11
01
10
01
10
10
11
11
01
00
00
11
00
10
11
10
00
10
00
00
00
00
10
10
00
10
10
10
01
10
10
10
00
10
01
01
00
01
11
10
01
00
10
11
01
01
00
00
10
01
00
11
00
01
10
00
10
11
10
01
00
11
11
10
01
10
11
01
10
00
10
00
00
00
10
11
00
11
10
11
10
01
11
00
00
11
10
00
10
10
11
00
00
10
00
11
11
01
00
01
11
00
10
10
11
00
01
11
01
00
10
11
11
00
01
10
10
00
00
10
10
10
01
10
01
00
01
11
00
00
00
10
11
00
01
00
10
10
10
10
11
00
00
11
11
10
10
00
10
10
01
10
10
11
11
10
01
00
00
11
00
00
00
00
10
10
00
11
10
10
10
00
10
10
10
11
00
01
00
00
11
10
00
10
00
00
11
00
00
00
00
01
10
00
11
00
01
10
11
01
11
10
10
01
00
10
10
00
00
00
10
00
00
10
00
01
11
01
00
10
10
10
10
10
11
01
00
10
01
00
01
00
11
00
01
10
11
10
11
00
01
01
10
10
10
10
01
00
10
00
01
00
11
00
10
10
00
00
10
11
00
01
10
01
10
00
01
00
10
10
10
10
01
00
10
00
01
11
11
11
01
11
00
01
10
11
01
00
10
11
10
01
10
10
01
01
10
11
10
01
00
01
10
00
00
10
10
10
00
00
00
11
00
00
10
10
10
11
00
01
10
10
01
01
00
10
01
01
10
11
10
00
00
10
00
11
10
01
11
00
00
01
10
00
00
10
01
10
11
10
10
10
11
10
10
00
01
00
11
00
01
10
11
11
00
00
11
10
00
11
11
00
00
00
10
00
01
00
00
00
10
10
11
10
11
10
00
10
00
10
00
11
10
10
10
00
00
10
11
10
00
10
00
01
00
10
00
00
10
11
10
01
11
10
01
10
01
00
10
00
11
00
00
11
00
00
10
00
11
10
10
10
00
01
10
01
10
00
00
10
10
01
11
11
10
11
10
10
11
10
00
00
11
11
00
10
00
10
01
00
00
10
00
10
00
00
11
10
11
00
10
11
11
00
00
00
11
01
00
01
00
00
00
11
10
00
11
01
11
11
01
10
01
00
00
00
11
10
00
10
10
00
11
01
00
10
10
00
00
10
00
00
10
10
00
11
00
10
11
00
10
10
01
00
00
00
10
10
00
01
10
00
01
10
10
01
00
11
00
01
10
00
10
00
00
10
10
10
01
01
01
10
10
10
00
01
10
01
00
11
10
10
00
00
10
10
11
11
00
01
00
11
00
01
10
10
00
10
10
01
00
11
00
00
10
10
00
00
10
10
11
00
01
10
00
00
10
01
00
10
10
10
10
01
00
10
11
10
11
10
01
10
10
00
01
11
10
00
00
00
00
00
10
10
01
00
01
00
10
00
11
11
10
11
00
01
00
10
00
00
00
10
10
00
10
11
00
10
10
00
11
11
01
00
00
10
11
00
00
00
00
00
10
00
10
00
00
10
00
10
00
11
10
10
00
10
01
01
00
11
00
00
00
01
10
00
10
00
11
00
11
10
00
01
10
10
01
00
10
00
00
01
01
11
00
00
10
10
00
11
11
00
00
10
00
01
10
10
10
00
10
10
10
00
00
00
00
01
10
00
00
00
10
00
10
11
00
01
10
10
11
11
01
10
01
00
11
10
01
11
10
11
00
01
10
10
00
01
11
00
11
00
10
11
10
01
11
00
10
10
10
00
01
10
11
00
00
00
10
00
00
10
01
01
11
01
01
11
00
00
10
11
01
00
00
00
11
11
00
11
00
01
01
10
10
00
11
10
10
10
10
00
00
00
00
00
10
11
10
10
00
10
11
00
00
10
00
11
11
10
01
01
00
01
00
00
00
10
11
00
00
10
10
10
10
11
00
11
01
10
10
10
11
10
00
00
11
00
00
10
10
00
01
00
10
00
00
10
00
11
00
00
10
11
01
10
10
00
10
10
00
01
00
11
10
10
00
01
10
00
00
00
00
11
00
10
10
00
00
01
00
10
00
01
00
10
00
10
00
01
11
10
01
01
11
11
11
00
00
10
11
10
01
00
01
10
11
00
10
10
00
10
00
00
11
10
00
11
00
00
00
11
00
00
10
11
10
10
11
01
00
01
01
01
10
11
10
01
00
10
00
10
00
10
11
10
00
01
11
01
11
10
01
00
10
00
10
11
10
00
00
01
10
01
00
00
01
10
10
01
01
00
10
00
01
01
00
10
10
00
11
10
11
00
11
10
00
10
10
00
00
11
10
00
00
01
01
00
11
11
10
00
01
00
00
11
10
00
00
10
10
11
00
01
00
11
01
00
01
10
10
01
00
00
10
11
00
10
10
00
10
10
01
00
00
10
01
01
01
11
11
01
00
10
01
10
01
01
10
10
10
10
00
01
10
01
00
10
01
10
01
00
11
10
00
00
11
00
00
10
11
00
00
11
10
10
10
10
00
11
11
00
00
11
00
00
10
11
00
00
00
00
10
10
11
11
11
01
10
10
00
10
11
00
01
10
01
11
01
00
01
10
10
00
00
10
10
10
00
00
10
10
01
10
11
11
00
01
10
00
10
10
01
10
00
01
10
10
10
00
11
10
11
01
10
10
01
01
10
10
10
00
00
00
00
10
01
10
00
10
10
10
10
01
00
00
10
10
11
01
00
01
11
01
10
10
00
00
01
10
10
01
01
10
01
01
10
01
01
00
10
01
00
10
00
00
10
00
10
11
00
10
10
00
10
10
00
10
10
01
00
11
00
10
00
00
00
00
00
10
10
10
10
00
01
10
10
01
01
11
00
01
10
00
01
10
00
00
10
11
01
10
00
10
11
00
00
00
10
11
00
10
11
01
00
11
10
10
01
11
01
00
11
10
01
10
11
10
11
00
01
00
10
00
00
10
10
10
00
00
11
01
10
00
01
10
01
00
10
11
10
00
00
00
10
11
00
10
10
00
00
01
01
00
10
10
10
10
00
00
10
00
00
01
00
10
10
00
10
00
00
10
10
00
00
01
00
10
00
10
10
00
01
10
10
00
10
11
00
11
00
01
01
10
00
01
01
10
11
11
01
11
10
00
01
00
11
00
01
00
11
01
11
00
01
10
00
00
01
11
10
00
10
00
00
10
10
00
10
10
00
01
10
10
00
00
01
10
10
11
10
00
00
00
10
00
11
00
10
00
00
10
00
00
11
10
01
00
11
11
00
10
00
10
10
11
00
00
10
00
10
00
01
10
01
10
10
10
10
11
10
10
10
01
01
01
11
10
00
00
00
10
10
00
01
01
00
11
11
00
10
10
10
00
11
01
11
01
11
00
01
10
00
10
10
00
00
11
10
01
10
00
10
01
11
01
01
00
10
10
00
10
00
01
10
00
10
11
00
00
10
10
11
01
01
00
01
11
01
00
11
10
01
00
10
00
01
01
10
11
10
10
10
00
01
00
11
11
00
10
11
10
00
01
01
10
00
10
00
00
00
01
10
11
00
11
10
10
00
00
10
00
11
10
10
11
01
01
10
11
00
10
00
01
00
10
10
00
11
11
11
10
11
00
10
11
00
00
10
01
00
10
11
01
00
11
11
00
10
00
11
11
11
01
01
11
01
11
00
10
11
00
01
10
10
10
01
01
00
10
01
01
11
00
00
11
00
01
10
00
10
10
00
10
00
10
11
10
01
01
00
01
10
10
00
10
10
01
11
10
10
11
00
00
01
10
10
10
11
01
00
10
11
10
00
00
10
10
10
10
11
11
10
01
11
00
00
00
10
00
10
10
01
11
10
00
01
10
10
11
10
10
01
01
11
01
01
01
01
11
00
01
11
11
01
00
10
10
00
01
10
10
01
01
11
10
00
01
11
10
00
10
00
00
10
00
10
00
00
01
10
10
11
00
00
10
00
00
10
00
01
01
10
10
01
11
10
00
00
01
00
01
11
10
01
10
00
00
10
01
10
00
11
10
10
01
00
10
11
00
00
00
10
11
00
10
00
00
00
01
10
10
01
00
11
10
11
11
00
10
10
00
00
01
10
00
00
01
11
10
00
01
10
00
10
11
10
10
10
11
00
00
10
10
00
00
00
00
10
00
01
10
10
10
11
00
11
10
11
00
01
11
01
10
11
01
11
01
01
10
10
01
01
10
01
01
10
10
11
10
01
00
10
10
10
01
00
10
01
10
11
01
01
11
01
10
10
10
01
00
11
00
11
10
01
11
00
10
00
10
00
01
01
10
10
10
11
00
11
00
10
10
10
10
10
01
00
11
01
01
01
10
11
01
10
10
00
00
01
10
10
11
11
00
10
00
00
10
10
00
00
00
11
00
10
11
01
11
10
00
01
10
11
10
11
00
10
01
00
10
11
00
00
10
10
10
11
00
00
01
01
01
10
10
10
01
00
00
00
10
10
00
00
10
10
10
10
11
11
00
00
00
01
11
10
01
10
10
10
01
00
10
10
00
00
11
00
01
00
11
10
00
10
10
10
10
01
01
10
11
10
00
00
11
10
01
10
10
10
00
10
00
11
10
11
10
11
01
00
10
00
10
11
11
00
11
01
11
10
00
11
10
00
01
11
11
11
11
01
01
00
10
01
01
10
10
00
00
00
10
10
00
00
10
00
11
00
00
00
10
00
10
00
01
10
00
10
10
00
00
11
01
11
10
11
01
10
10
00
00
11
10
00
00
01
00
10
00
00
10
00
00
10
00
00
00
00
01
00
11
10
10
01
10
10
01
00
10
01
00
10
10
00
00
10
10
00
01
00
00
11
00
11
00
00
01
00
11
11
10
00
00
10
00
10
10
00
11
01
10
10
01
10
11
01
10
01
00
01
00
10
11
10
01
10
10
00
11
00
00
10
10
10
10
00
01
10
01
01
11
00
00
00
10
11
10
10
00
00
00
11
01
10
11
10
00
00
10
01
00
11
10
00
10
10
00
01
01
10
01
00
10
00
00
00
10
01
00
00
11
01
01
10
11
01
00
11
00
10
10
00
01
01
11
10
00
10
10
11
01
10
11
01
10
10
00
11
00
01
00
01
00
10
11
00
10
11
10
00
10
00
00
01
00
00
00
11
11
10
10
11
10
10
10
00
00
11
10
00
00
10
11
01
10
00
10
11
00
01
10
10
01
00
01
10
11
00
10
10
01
10
11
10
01
01
10
11
00
00
01
10
10
10
10
10
10
00
00
11
11
00
00
01
10
10
00
00
10
01
10
10
00
10
00
10
00
00
11
00
00
01
11
00
01
10
00
00
10
10
01
00
11
10
01
00
00
00
10
10
10
00
00
11
11
01
11
00
10
10
00
00
00
10
11
00
01
01
00
00
10
00
10
10
00
00
10
01
01
11
00
10
11
00
00
10
00
00
11
00
00
10
10
10
11
11
00
00
11
10
10
10
10
10
11
01
10
01
01
10
00
00
11
00
00
10
11
00
00
01
10
00
01
01
10
00
11
10
10
00
10
11
00
11
10
00
01
10
00
10
10
00
10
10
10
00
11
10
01
10
00
01
10
00
00
10
10
00
10
11
10
01
01
10
01
10
00
10
00
00
01
10
11
11
00
10
10
00
10
11
00
00
10
11
01
00
10
10
10
00
10
01
00
00
10
00
10
00
00
10
00
01
10
11
01
01
01
01
10
10
11
00
10
00
00
10
01
00
11
01
01
10
00
10
01
10
10
11
01
11
10
01
00
01
11
00
11
10
10
01
01
10
01
00
11
10
00
01
00
10
10
10
00
10
11
00
00
10
10
00
11
10
00
00
11
00
00
01
00
00
10
00
00
00
01
00
10
10
10
11
10
00
11
01
01
10
10
00
00
11
01
11
01
00
10
00
00
10
10
11
00
00
01
11
10
00
01
00
10
10
01
10
01
00
10
00
00
11
00
10
00
00
01
01
10
01
00
00
10
00
01
10
10
10
10
10
10
10
00
01
10
01
01
11
10
00
00
00
01
10
01
00
11
11
00
10
00
10
11
00
10
00
10
11
10
01
11
11
10
10
01
01
01
10
00
01
00
11
10
00
00
10
10
11
11
01
00
11
11
11
00
00
11
10
00
01
11
11
01
11
01
00
10
11
00
00
10
00
00
00
00
10
10
01
01
11
00
10
10
11
10
00
00
10
10
11
00
00
11
10
11
10
01
10
11
10
00
00
10
11
00
10
00
00
01
10
01
00
01
01
11
10
00
01
10
01
00
01
00
01
10
10
01
00
10
10
11
11
01
00
10
01
00
10
10
00
00
10
01
10
10
01
00
00
10
00
10
00
00
00
00
10
11
00
10
00
00
00
11
11
10
01
11
10
00
00
00
10
10
00
00
10
11
11
00
10
00
00
00
11
10
00
01
01
10
10
10
10
11
10
01
00
00
01
01
11
10
01
00
10
10
10
10
00
10
10
10
00
00
00
11
11
00
01
01
10
11
01
00
10
01
11
11
01
01
11
10
01
00
00
11
10
00
00
01
10
01
01
11
10
10
11
00
00
10
10
10
00
11
10
00
00
10
00
10
00
00
10
10
01
01
11
00
11
10
01
00
11
11
01
10
10
01
01
00
11
10
00
01
00
10
10
01
00
11
10
00
10
00
00
00
00
10
11
11
10
01
00
01
10
10
10
01
01
00
01
10
00
00
00
00
11
11
00
10
10
11
00
00
00
11
10
11
10
11
11
01
10
11
10
01
11
10
01
00
01
00
00
10
10
00
10
11
10
10
01
10
01
10
11
01
00
10
00
01
10
00
00
10
10
00
01
10
01
00
10
00
11
10
10
10
00
10
10
01
00
00
00
10
00
01
11
10
11
11
10
01
10
11
00
10
11
11
01
01
01
10
10
10
01
00
10
10
11
01
11
11
00
10
10
10
10
10
00
00
01
10
00
00
10
10
01
10
10
10
01
00
00
00
00
11
11
10
10
11
11
01
10
10
00
10
11
01
00
11
01
00
00
00
00
10
10
01
11
10
11
10
10
01
11
00
00
10
10
10
00
00
01
00
11
00
11
10
00
00
00
00
10
00
01
00
11
00
10
00
00
00
01
10
10
00
00
10
11
00
10
11
00
00
01
11
10
00
01
00
00
00
10
00
00
10
10
10
01
10
00
00
11
00
00
11
00
10
11
00
01
10
01
00
10
11
00
10
10
00
00
11
00
10
10
10
01
11
01
00
00
11
00
10
00
10
11
01
11
11
11
11
01
00
00
00
10
10
10
00
00
00
11
00
10
10
10
01
10
10
00
00
01
10
01
00
10
11
10
01
11
00
01
10
01
00
01
10
00
01
10
00
11
01
00
10
10
10
11
10
00
00
00
10
00
00
10
00
00
00
10
10
10
01
00
10
10
00
10
01
11
01
10
11
01
10
00
10
01
01
00
11
10
00
11
01
00
11
11
00
00
01
11
00
01
11
10
00
00
10
01
00
10
11
00
11
10
10
01
00
11
11
11
00
01
10
10
10
00
00
11
10
10
10
00
10
01
10
01
00
11
10
10
10
10
01
00
00
11
10
00
01
10
10
00
10
01
00
00
11
10
01
10
11
11
10
11
01
11
10
11
00
00
00
10
11
00
01
10
01
10
11
00
10
10
00
11
10
00
01
11
10
10
00
01
10
10
10
01
01
10
00
00
00
11
00
00
00
11
10
10
00
00
00
10
10
11
00
11
01
10
11
10
01
00
01
00
10
00
10
00
00
10
00
00
00
01
01
01
11
11
11
00
00
10
00
00
00
10
11
11
00
11
00
10
00
10
01
00
01
00
00
00
01
01
11
10
00
10
00
00
00
10
10
10
01
10
10
10
01
11
10
00
10
00
10
10
10
01
10
10
10
10
00
10
01
00
01
10
11
11
00
00
11
00
00
01
01
10
10
10
11
00
00
00
01
00
10
10
00
00
10
01
01
00
11
01
10
10
01
00
10
00
01
00
11
10
00
10
10
00
11
01
00
01
11
11
11
10
11
00
01
01
01
11
10
00
00
10
00
01
10
10
10
01
00
01
00
00
11
01
00
11
01
01
01
11
01
10
00
00
10
10
00
00
11
10
00
00
11
10
00
10
11
01
00
10
00
01
00
10
01
01
10
00
10
10
10
00
10
00
00
10
00
01
00
10
10
10
10
01
01
10
01
01
01
00
00
10
00
10
10
01
10
00
11
00
00
01
10
11
11
00
00
11
01
11
00
00
10
11
11
00
00
00
00
11
10
10
11
00
00
00
10
10
00
11
11
11
00
10
10
01
00
01
11
10
01
10
11
00
10
10
10
00
10
00
00
01
00
00
10
10
10
00
10
00
00
11
01
00
01
01
11
01
11
11
00
11
10
00
01
11
10
00
01
10
10
00
11
00
11
10
00
10
00
11
00
01
10
00
00
10
11
01
01
10
01
10
01
00
10
10
00
00
10
00
00
01
11
11
10
10
00
01
00
10
10
01
00
11
10
00
00
01
11
00
01
10
00
10
10
00
01
10
00
00
10
00
00
01
00
10
01
00
10
00
11
11
00
11
10
10
00
11
10
00
01
10
00
01
00
00
00
11
11
01
10
10
01
10
10
10
00
00
10
00
00
01
01
10
11
00
00
01
10
11
11
11
00
11
10
01
10
10
10
00
00
10
10
00
00
10
10
00
01
11
00
11
10
01
01
00
00
10
10
10
10
00
00
10
10
11
10
00
11
11
10
00
10
10
11
10
00
00
11
00
10
10
00
00
10
11
01
00
01
10
10
10
10
01
11
11
00
10
10
01
01
01
11
10
11
10
10
11
10
01
00
10
00
00
10
10
10
10
10
00
11
10
00
00
00
10
10
00
10
00
01
00
00
01
11
11
01
10
10
11
11
01
00
00
11
10
11
10
00
00
11
11
11
01
01
10
10
00
11
00
00
01
10
11
00
11
11
00
01
00
11
10
10
00
10
10
01
00
10
10
01
10
00
00
10
01
00
01
01
01
10
01
10
11
10
01
01
11
00
00
10
10
00
01
01
10
10
00
00
10
10
10
10
10
00
10
10
10
01
10
11
10
00
00
01
10
10
10
00
10
00
11
00
01
01
10
01
10
11
00
10
00
10
10
00
10
10
00
10
10
00
11
00
10
01
00
10
00
10
10
00
00
10
10
01
10
00
11
00
11
00
10
11
10
11
01
00
00
10
10
00
01
10
10
10
10
00
10
10
01
10
10
00
00
10
01
10
10
11
00
11
10
01
10
10
00
00
10
00
00
00
10
10
00
10
11
00
10
10
10
01
10
01
01
10
11
10
10
11
00
00
10
00
00
00
10
11
10
00
01
10
11
11
00
10
00
00
10
01
01
01
10
11
00
00
11
01
00
10
10
01
01
10
00
00
00
11
01
00
11
10
00
01
10
10
10
01
00
10
11
00
10
00
01
11
01
00
10
10
00
01
10
01
01
01
00
11
11
10
01
00
11
11
01
00
00
11
10
01
01
11
11
11
10
01
00
10
00
00
11
10
11
00
01
10
10
01
00
10
10
00
01
00
10
11
00
11
01
11
10
10
11
00
10
11
00
10
10
00
00
00
00
10
00
10
00
11
01
11
01
10
00
00
10
01
10
10
11
01
01
11
01
10
01
10
00
00
10
10
00
11
10
10
01
01
10
00
10
10
11
01
01
00
00
10
11
01
11
10
00
01
00
10
10
10
00
00
00
10
10
00
10
00
11
00
10
00
00
00
01
10
11
01
00
11
00
10
11
00
00
10
00
01
00
01
10
00
00
10
01
00
00
10
01
00
00
01
10
11
01
10
00
01
10
01
01
01
10
00
00
10
00
00
11
10
11
01
11
11
01
00
00
00
10
10
01
00
10
10
00
10
00
10
10
10
10
01
00
01
00
00
00
10
00
10
00
00
10
00
00
00
01
01
10
11
10
00
10
11
10
10
10
01
01
00
00
11
10
01
11
01
11
11
10
11
00
00
01
11
10
00
10
10
00
00
10
00
00
10
11
10
01
01
00
00
00
00
11
11
10
11
00
10
11
00
10
00
11
00
10
00
00
10
11
00
10
01
01
10
11
01
01
10
11
10
00
00
10
00
01
00
10
01
00
10
00
00
10
00
11
10
01
00
00
10
00
10
10
10
00
10
10
00
10
10
11
00
10
11
00
10
00
01
10
10
00
11
01
01
00
00
01
01
10
10
00
01
10
11
00
10
10
10
10
01
10
00
00
10
10
10
10
10
10
00
01
10
00
01
11
01
10
11
10
00
00
10
10
00
00
00
00
01
10
00
10
01
10
11
00
01
00
00
00
10
01
00
00
10
10
10
00
00
11
10
00
01
00
10
11
11
00
10
01
01
10
11
00
10
11
10
10
01
00
00
00
01
10
01
00
10
11
00
01
11
10
00
00
10
11
00
00
00
01
01
10
00
00
00
00
10
10
10
10
01
10
01
00
00
01
10
00
01
10
11
00
01
10
01
00
00
00
10
11
00
10
10
01
11
01
10
10
11
10
10
01
00
01
10
00
01
10
00
11
10
11
00
10
00
00
00
10
00
01
10
11
00
00
11
01
11
01
10
11
00
01
00
10
10
11
00
00
10
10
10
00
10
11
10
10
00
00
00
01
10
10
01
10
11
11
10
00
10
10
01
01
11
10
00
10
10
01
01
10
10
11
10
01
00
11
10
00
01
00
11
10
01
00
10
01
11
10
01
00
11
11
00
10
10
10
01
00
00
10
11
01
10
00
00
00
10
00
00
00
10
10
01
00
10
01
00
00
11
10
00
10
11
00
10
10
00
10
00
01
10
10
00
01
00
01
10
10
01
11
11
11
10
10
00
01
11
00
00
10
10
00
00
00
11
11
00
11
10
00
10
10
01
00
10
11
11
01
10
00
11
10
10
00
00
10
00
10
11
10
10
00
00
10
10
00
10
00
00
10
00
01
10
10
00
00
11
10
00
10
00
00
01
00
10
10
01
00
01
10
10
11
11
11
10
11
00
00
11
10
10
00
11
11
10
10
00
10
10
10
00
11
00
10
10
10
00
01
01
11
11
00
01
00
10
10
10
00
01
01
10
10
00
00
11
00
00
00
01
00
01
01
11
11
01
01
10
00
00
10
10
01
10
11
11
00
10
00
00
01
00
00
11
10
00
01
10
10
10
10
00
00
10
10
01
00
00
00
11
10
00
11
11
00
00
11
01
11
10
10
10
00
10
00
10
00
00
11
10
10
00
00
11
11
00
00
10
10
11
01
11
00
01
10
00
11
10
10
01
00
11
11
10
10
10
00
11
00
01
00
10
10
00
01
00
10
11
10
01
10
00
11
01
01
11
00
00
00
00
00
00
10
10
00
11
11
00
01
01
10
10
01
10
11
00
01
10
10
11
00
00
00
10
10
10
11
10
01
10
00
01
10
01
00
10
10
01
10
11
01
01
11
00
11
01
00
11
10
00
00
10
11
00
01
11
10
01
01
00
11
01
00
10
10
10
00
00
11
10
00
00
01
00
01
10
10
10
11
10
10
11
10
00
10
10
00
11
10
00
10
10
00
10
10
00
10
10
01
01
00
01
01
00
10
10
00
00
11
10
11
00
11
10
01
10
00
10
10
00
01
00
10
10
11
11
11
10
01
00
00
10
11
10
01
11
00
01
11
10
01
11
00
10
00
01
11
10
00
01
01
10
11
10
11
10
11
01
00
10
10
00
00
11
10
11
10
00
10
00
10
10
10
01
01
10
10
01
10
10
10
01
10
00
01
01
00
11
10
10
10
10
00
00
10
01
10
10
00
01
00
00
10
10
01
11
11
00
01
10
00
10
10
10
01
01
11
00
00
00
00
01
11
11
00
11
01
01
00
01
01
10
10
01
10
10
11
01
11
11
01
00
10
10
00
10
10
00
00
10
10
11
01
10
10
00
01
11
10
11
01
01
11
11
00
01
10
11
10
01
00
10
10
00
10
01
00
11
00
00
10
01
00
00
10
11
10
00
10
10
00
10
10
00
10
01
00
00
10
10
00
10
11
11
11
00
10
10
01
10
11
01
11
00
00
10
11
00
01
10
11
00
10
11
00
00
10
00
10
10
10
10
10
00
11
00
00
01
11
11
01
10
00
01
10
10
00
00
10
00
00
00
11
00
01
11
10
10
10
11
00
00
10
10
00
00
00
10
00
00
00
00
01
10
10
00
00
00
00
11
10
10
01
10
00
00
00
01
00
00
10
00
10
01
10
11
00
01
00
01
00
00
00
10
11
00
00
11
10
10
10
10
00
10
10
01
10
11
11
11
10
11
00
00
10
10
01
00
00
11
00
00
10
01
11
00
10
00
01
00
01
10
11
10
10
11
00
00
10
00
00
00
10
10
10
00
01
10
10
00
01
00
10
10
00
01
01
01
10
01
11
00
01
10
00
01
10
10
00
00
10
11
10
10
11
01
11
11
10
00
00
00
01
10
11
00
01
00
00
10
01
00
10
11
00
01
00
00
00
11
11
10
01
00
00
11
00
00
01
10
10
10
11
10
11
10
00
11
10
01
10
11
00
00
10
00
10
00
01
10
01
00
01
10
11
01
10
11
00
00
10
10
00
11
11
00
01
11
10
01
10
10
00
00
10
01
10
00
00
11
00
01
10
10
01
00
00
00
10
11
11
00
01
11
10
00
10
10
11
00
11
10
10
00
00
01
00
00
10
10
01
10
00
10
00
10
10
00
00
11
11
01
10
11
11
00
00
11
01
00
11
10
10
10
00
10
00
00
10
10
00
00
11
10
00
01
00
01
00
00
10
10
00
11
00
00
10
10
11
00
00
00
00
00
11
11
10
01
00
10
10
01
01
10
10
10
00
10
10
00
11
01
00
00
01
00
10
10
00
01
00
00
10
01
00
00
00
10
10
11
10
00
01
00
00
10
00
00
10
00
10
10
01
00
01
11
00
11
10
00
11
10
00
00
10
10
11
10
00
00
00
00
10
10
11
01
11
01
11
00
10
00
10
10
01
01
11
11
10
11
10
00
10
11
00
01
00
10
00
01
00
10
00
10
01
01
01
10
10
01
10
11
10
00
00
10
00
00
10
10
00
01
01
10
00
00
00
00
00
00
10
00
00
01
00
00
11
11
11
10
10
00
01
10
00
10
10
00
00
10
11
01
10
01
10
00
11
10
00
10
10
10
00
00
10
00
10
01
00
10
01
10
11
00
00
00
00
11
10
10
00
11
00
10
10
10
10
01
00
11
00
10
11
10
11
00
11
11
01
00
01
11
10
00
00
10
00
00
10
11
00
01
01
11
00
00
10
00
10
00
10
00
00
11
00
11
00
11
10
00
00
10
11
00
10
11
01
00
00
00
00
00
00
11
10
00
10
10
00
01
10
11
10
00
10
10
00
00
00
00
10
00
10
11
10
11
00
01
10
10
10
00
10
11
10
01
10
10
00
11
00
10
00
00
10
10
11
00
10
10
00
11
10
00
10
10
01
10
11
01
00
10
00
00
11
10
10
01
01
00
11
00
00
01
10
01
10
11
01
11
10
11
11
01
01
10
01
01
00
10
10
00
00
01
10
00
11
00
01
00
01
10
00
01
00
00
11
11
10
11
10
00
00
10
00
01
00
11
10
00
11
00
10
00
10
10
01
00
11
11
10
00
01
00
01
00
10
10
10
10
00
10
11
11
01
11
10
00
10
11
00
10
00
00
11
11
11
11
00
00
11
01
10
10
00
10
11
00
00
10
10
11
10
00
01
00
10
01
00
10
00
11
00
10
10
10
00
10
00
01
10
10
10
00
11
01
10
01
11
11
11
01
11
00
01
11
00
10
10
01
00
11
00
11
01
10
00
11
01
10
10
01
01
10
01
00
10
10
10
10
00
11
10
00
10
00
00
10
10
00
00
01
00
00
01
00
10
00
10
11
01
10
11
00
11
10
00
00
11
01
00
10
10
10
10
01
10
10
01
10
01
00
11
00
11
10
10
10
01
10
10
01
10
10
00
00
11
00
01
00
10
00
10
10
00
00
11
00
01
01
11
00
10
00
00
01
10
01
11
01
01
10
10
00
01
01
00
11
11
11
00
00
11
00
01
11
10
10
00
00
10
00
00
10
01
10
10
10
10
10
00
00
11
10
10
10
01
11
01
01
00
11
00
00
11
00
10
10
00
00
10
00
00
11
10
00
01
10
01
11
11
11
01
00
10
10
01
10
10
10
00
00
10
00
00
01
01
10
01
10
10
10
00
01
01
10
10
10
00
00
00
11
10
01
10
10
00
01
01
10
00
01
01
10
10
00
11
01
00
00
10
00
10
00
00
11
11
00
11
10
01
00
10
00
01
01
11
10
01
10
00
00
10
00
00
10
10
10
00
00
10
11
00
10
00
00
00
11
01
00
01
10
11
10
10
10
00
00
10
10
01
00
11
10
01
10
10
01
10
00
00
01
11
11
00
01
01
01
00
11
10
01
10
10
00
10
00
10
10
00
01
01
10
10
00
10
00
11
00
11
11
10
10
10
10
11
01
01
10
11
10
00
10
00
00
10
00
00
00
10
11
11
11
00
10
11
00
10
11
10
00
10
11
00
00
00
01
00
00
00
00
10
11
10
11
00
10
10
00
00
10
10
00
10
11
00
00
00
11
00
11
01
01
00
10
10
00
10
10
10
00
10
10
01
01
00
00
10
00
00
11
00
01
00
11
00
10
10
00
01
11
00
01
10
10
10
00
10
11
00
00
01
10
00
00
10
11
00
01
11
01
00
10
10
10
10
10
10
00
10
10
10
00
10
00
01
10
11
01
11
00
01
01
10
10
00
00
11
00
10
10
01
10
00
00
00
01
10
11
10
00
11
01
10
10
10
00
00
10
10
10
00
00
10
01
00
10
00
10
01
10
11
10
01
11
00
00
01
01
10
10
00
10
10
11
11
10
01
00
10
11
10
01
11
10
00
00
00
00
00
11
10
10
10
10
01
11
11
00
00
10
00
11
00
00
10
10
11
00
01
10
00
10
10
10
00
10
10
00
01
00
10
10
00
10
10
00
10
01
00
01
10
00
00
10
10
00
00
10
10
10
11
00
11
01
00
00
10
11
10
00
00
00
10
10
01
10
10
00
10
01
00
01
10
11
00
10
10
11
10
10
01
00
00
10
10
01
10
00
00
10
11
10
00
01
01
11
01
11
11
10
11
10
01
01
10
10
00
11
01
11
11
10
10
11
10
01
00
11
00
01
11
01
00
11
00
00
10
00
10
10
00
00
11
10
00
00
00
01
00
00
11
00
00
00
11
00
11
10
01
10
11
11
00
11
11
01
00
10
10
00
00
11
11
00
10
10
11
10
01
01
01
11
11
11
10
01
01
10
01
00
11
10
00
01
00
10
00
00
10
10
10
01
10
01
00
10
01
00
10
00
10
11
00
01
00
00
11
11
01
00
00
00
00
10
10
11
00
00
10
11
10
10
11
10
01
01
01
10
00
00
10
00
01
10
01
11
11
10
10
00
00
01
00
10
10
00
11
10
00
00
11
10
00
01
01
11
11
01
01
10
11
00
01
11
10
00
00
10
11
01
00
10
01
10
00
10
10
00
01
01
10
10
01
01
01
11
10
00
11
10
11
10
00
00
01
10
10
11
01
00
00
10
10
10
01
00
10
00
00
01
01
01
00
10
00
11
01
10
01
00
00
00
10
00
10
10
11
01
11
10
01
10
10
00
01
10
11
00
10
10
01
10
01
10
11
01
01
11
01
01
10
00
00
01
10
00
10
11
10
00
10
00
01
01
10
00
01
10
01
11
11
10
11
00
10
11
00
01
00
10
10
11
10
00
00
10
01
00
00
10
10
00
00
00
10
10
11
01
01
10
00
10
01
10
00
01
10
11
00
01
00
00
10
11
00
10
00
00
11
00
00
11
10
10
10
00
10
10
00
00
10
01
01
00
01
10
00
10
00
11
10
10
01
10
00
00
11
00
10
10
01
10
00
10
10
10
10
11
10
10
10
00
01
00
10
10
10
10
11
10
10
01
00
11
00
00
00
00
00
10
00
00
00
11
10
00
10
10
00
10
11
10
10
00
10
00
00
01
10
10
00
00
10
00
00
10
10
10
11
00
01
10
01
00
10
00
01
00
10
10
00
11
10
01
00
00
10
11
11
00
11
11
01
10
01
00
11
10
10
00
10
00
01
00
10
01
00
11
10
00
10
10
10
11
01
01
00
01
01
10
10
01
00
10
10
01
11
00
10
10
11
00
01
10
11
11
00
11
00
00
00
00
10
10
10
00
11
10
00
01
10
10
00
00
10
10
10
01
01
10
10
00
01
00
10
11
00
01
10
00
11
10
01
01
11
01
10
10
10
00
11
01
00
10
10
00
01
10
11
00
00
01
10
10
11
10
00
01
11
11
00
01
00
10
00
00
10
10
10
00
00
10
11
00
00
11
10
11
10
00
00
01
01
10
00
00
00
01
00
10
10
01
01
00
00
01
01
10
01
00
11
10
10
01
01
10
00
00
00
10
00
11
11
10
00
10
00
11
00
00
10
00
10
10
00
10
10
01
10
10
00
10
11
00
00
00
11
10
00
00
11
00
00
01
11
00
00
10
00
10
01
11
00
11
11
01
01
00
11
00
10
10
10
00
00
01
00
10
10
10
11
00
10
10
00
11
00
01
10
10
00
01
01
00
01
10
00
00
00
10
00
01
11
10
10
11
10
00
01
10
10
10
10
11
01
11
00
10
10
11
00
01
01
10
10
00
00
11
01
00
01
00
10
10
10
01
11
00
01
10
01
00
00
11
00
00
01
10
00
11
10
01
10
10
01
11
10
10
10
00
11
10
01
01
00
10
10
01
00
00
10
00
11
01
11
10
01
01
00
10
00
01
10
10
00
00
00
00
10
10
00
01
10
01
10
00
00
00
00
00
10
10
10
01
00
00
00
10
00
10
10
00
00
11
10
00
00
00
10
00
11
01
10
10
10
10
00
10
10
01
11
10
01
10
11
01
10
10
10
00
10
10
10
00
00
10
00
00
00
10
10
10
01
00
11
10
01
11
01
01
11
10
10
01
00
11
01
01
11
10
10
10
10
01
00
10
10
11
00
11
10
00
10
11
10
11
01
00
00
00
00
11
00
00
11
11
00
00
10
11
11
01
10
11
01
11
10
11
00
00
11
10
00
01
00
11
10
00
10
11
00
00
01
10
10
00
00
10
10
00
01
10
00
00
10
10
11
01
00
00
11
00
00
10
00
00
00
10
11
10
00
11
10
10
10
00
10
10
10
01
00
10
00
00
10
00
01
01
10
11
01
10
10
00
11
01
10
10
01
11
11
00
00
10
00
11
00
00
11
10
11
10
11
00
11
10
01
01
10
10
00
10
10
10
01
00
10
10
01
11
10
00
00
10
00
10
10
00
11
10
01
10
11
10
00
00
00
01
10
01
00
01
00
10
11
00
10
10
01
01
10
10
00
10
11
00
11
10
00
10
00
00
10
01
11
10
00
11
00
10
10
01
00
11
10
11
01
00
00
11
10
00
00
10
10
01
11
00
01
10
00
00
11
00
00
10
10
11
01
11
11
10
00
10
11
00
11
00
00
00
00
01
10
10
11
11
00
00
00
11
00
00
10
00
10
00
10
00
10
10
10
00
10
00
00
11
11
11
10
00
10
10
00
01
00
10
11
00
10
10
00
01
11
00
00
00
10
00
00
01
10
01
00
01
10
00
11
10
00
00
11
10
00
10
00
00
11
10
00
01
11
10
11
10
10
00
00
11
00
10
11
10
00
00
11
00
10
00
00
10
10
11
10
01
10
11
00
00
11
10
11
00
00
10
11
11
11
00
00
01
10
10
10
10
01
01
00
11
10
10
10
00
00
00
00
10
11
00
11
11
00
00
11
01
00
10
00
00
00
11
11
10
11
10
01
00
00
11
00
00
11
00
10
01
00
01
00
10
00
10
11
01
11
00
11
10
00
11
10
11
00
01
11
00
10
10
00
00
10
11
00
11
00
01
00
10
10
00
10
10
10
01
11
00
00
11
11
10
10
00
00
10
10
01
10
10
10
01
10
10
00
00
00
11
10
00
11
10
10
10
01
10
01
11
01
01
10
01
10
10
10
00
10
01
01
00
11
00
00
01
01
10
10
00
00
10
10
01
00
10
10
10
10
01
10
01
00
10
11
11
01
00
11
10
00
00
00
01
10
10
11
01
10
00
00
11
10
01
00
11
01
10
11
00
00
11
00
00
11
10
01
00
00
10
00
11
01
00
10
00
01
10
10
10
00
11
10
01
11
01
11
01
00
10
00
10
10
00
01
11
11
11
00
00
10
10
10
01
01
10
10
11
01
10
10
01
00
10
11
10
01
11
00
00
10
11
00
11
11
10
00
10
10
00
10
10
00
10
11
00
01
10
11
01
11
10
01
00
10
11
00
11
11
11
01
00
10
10
10
00
10
10
00
10
00
00
01
11
00
01
00
10
00
10
10
00
10
01
10
11
10
10
10
10
10
10
00
01
00
11
11
00
11
00
01
00
10
10
01
00
10
10
00
10
10
10
01
00
11
10
10
10
11
10
00
00
11
10
00
10
11
10
00
10
00
10
00
01
10
01
11
10
10
10
00
01
01
10
00
01
00
00
10
11
10
00
10
00
01
10
01
01
01
10
10
11
01
00
00
10
10
01
00
00
00
10
00
10
00
10
00
00
00
00
00
10
00
11
11
11
01
01
00
10
10
00
11
11
00
00
00
10
11
10
01
01
10
10
00
01
01
01
11
00
01
00
10
10
11
10
00
11
11
01
11
01
00
00
00
11
10
01
10
10
00
00
00
10
10
00
01
10
01
11
10
00
00
00
00
10
11
11
00
00
10
00
00
01
11
00
00
10
00
00
11
10
10
10
10
01
00
11
01
00
00
00
10
00
01
10
11
10
11
10
10
10
10
11
00
11
00
11
11
10
00
10
01
01
10
00
11
10
00
00
00
11
11
10
00
00
10
10
00
00
01
00
10
00
11
10
10
11
10
10
01
00
10
01
00
10
01
00
01
10
10
00
00
00
11
10
00
00
11
10
00
10
00
10
01
00
00
00
00
10
00
00
10
10
11
00
10
00
10
01
11
10
01
10
00
10
00
00
11
11
10
00
10
01
11
00
00
00
00
01
11
11
01
01
11
10
00
10
00
10
10
01
00
10
01
00
00
10
10
11
10
10
00
00
00
10
10
11
00
10
00
11
00
10
00
11
10
10
00
00
00
01
10
10
00
11
01
01
01
01
00
10
00
10
11
00
00
11
11
01
00
11
10
01
00
10
00
00
00
10
10
00
00
10
11
10
00
10
01
11
01
00
10
10
01
10
00
00
10
00
01
00
11
10
00
00
11
10
11
00
00
10
00
00
10
10
00
00
00
00
00
00
01
01
00
11
00
00
00
00
00
10
11
00
10
10
11
11
10
10
10
11
00
11
00
01
11
01
00
10
10
01
00
00
10
00
10
00
10
10
11
10
01
11
10
00
00
00
10
10
01
01
00
10
01
10
11
00
01
11
10
11
11
01
01
00
10
10
00
10
11
00
00
10
10
10
10
11
00
10
10
00
00
10
10
10
10
00
11
11
10
10
00
00
01
01
11
10
00
01
10
10
10
00
00
10
11
01
00
00
00
01
11
00
11
10
11
10
10
00
00
00
11
01
01
10
10
10
11
10
01
00
10
00
01
11
11
10
00
11
01
11
00
10
10
01
10
01
01
00
00
10
10
00
01
10
01
01
01
10
00
00
00
01
10
11
10
10
00
11
00
10
00
10
00
00
10
00
11
10
10
11
10
10
00
00
01
00
10
10
00
00
00
10
11
10
10
00
00
00
01
10
10
10
10
10
01
10
01
10
01
01
00
00
10
10
01
01
10
01
00
11
00
11
10
00
00
10
00
10
01
10
00
10
01
00
11
00
00
00
00
10
11
11
10
10
00
01
00
10
00
00
01
11
00
00
11
10
00
00
10
01
00
01
11
01
00
10
00
10
00
10
00
00
00
10
01
00
10
11
10
01
00
10
00
10
10
00
10
11
00
00
00
10
01
00
00
01
00
11
10
10
01
00
01
10
01
00
11
11
01
10
10
10
00
10
10
00
01
10
00
11
10
01
10
00
10
01
11
01
00
11
00
10
10
00
00
10
00
10
01
00
00
00
10
01
01
01
00
00
11
00
10
10
01
00
01
11
11
00
01
01
11
11
00
11
11
10
01
01
10
11
00
00
00
01
10
10
01
00
10
01
00
10
11
00
10
10
10
01
10
10
10
11
00
10
10
01
00
11
00
00
11
11
00
00
11
10
01
10
10
01
10
10
00
00
10
10
01
00
10
10
10
00
10
10
00
00
01
11
11
10
10
10
10
10
00
01
00
01
11
10
10
10
11
10
11
00
01
00
10
10
11
00
00
10
01
10
10
01
00
01
01
01
11
10
10
10
11
01
11
10
00
00
10
00
11
11
10
10
10
10
00
01
10
00
00
01
10
10
00
01
10
00
10
10
00
10
00
11
00
11
10
00
00
10
11
00
00
11
10
11
10
01
10
01
11
10
10
00
10
01
10
11
01
10
01
10
01
10
00
00
10
00
10
11
00
01
00
10
00
00
00
01
10
10
10
10
00
00
00
00
00
00
01
00
10
10
11
11
10
01
10
10
00
01
00
01
11
11
01
10
10
00
10
11
00
01
10
11
00
11
10
00
10
10
00
10
01
00
00
10
10
00
10
10
10
01
00
00
10
00
00
10
10
11
00
01
11
10
01
10
11
00
00
00
01
11
10
00
11
00
00
01
00
10
00
00
00
11
10
01
11
10
10
00
10
10
01
10
00
11
00
01
10
10
01
00
10
10
00
00
10
01
10
00
11
00
00
10
10
00
00
00
10
00
10
00
00
01
10
11
01
11
00
10
11
10
11
10
11
00
00
00
00
11
11
10
00
11
11
10
11
10
01
10
11
10
00
00
10
10
10
00
01
01
10
10
00
01
10
00
00
11
01
01
11
00
01
10
00
00
00
10
00
00
10
11
00
10
10
01
00
10
10
00
11
10
01
10
10
01
00
00
10
00
01
01
11
10
10
00
01
10
10
00
01
11
11
00
00
10
00
10
10
01
10
10
01
11
11
01
01
01
10
00
10
10
11
00
10
10
00
00
11
10
00
01
10
00
01
10
00
01
11
11
11
00
10
11
01
10
01
00
00
00
00
11
11
01
00
10
11
01
11
01
10
10
00
00
00
10
01
00
01
10
11
01
00
10
11
00
10
10
00
10
00
00
10
10
10
10
11
00
01
10
00
10
10
10
01
10
00
10
10
01
01
11
10
00
10
10
00
11
10
01
10
01
10
10
10
11
00
01
00
10
10
00
00
01
10
10
00
10
10
00
00
00
01
10
10
00
00
00
10
10
00
00
10
10
00
10
11
00
01
11
10
10
10
10
00
00
10
10
00
10
00
01
10
10
10
00
10
10
10
11
00
10
11
10
01
00
10
11
10
00
01
00
10
10
11
00
00
01
11
10
00
11
10
00
00
11
10
00
00
10
01
10
00
00
10
10
11
01
10
01
10
10
10
10
10
11
00
10
11
11
01
10
10
10
11
01
00
11
00
00
00
11
00
00
10
10
00
00
00
00
10
00
10
11
11
11
11
11
01
00
11
00
11
01
00
11
01
10
11
10
11
11
01
01
10
00
10
00
00
00
10
11
01
01
00
01
00
01
00
10
00
10
01
00
01
01
00
00
01
01
10
10
01
10
11
10
00
00
00
10
10
11
01
01
10
01
00
10
00
01
10
00
01
10
10
10
10
00
01
11
10
00
00
00
11
11
01
00
01
11
00
00
11
11
00
00
11
10
11
10
00
11
01
11
11
00
00
00
00
10
11
00
01
10
10
01
00
01
10
10
10
10
10
01
01
10
11
00
00
00
10
00
10
10
01
11
11
00
00
10
11
00
00
00
10
10
00
11
01
10
00
10
11
00
11
10
00
11
00
00
10
11
00
00
10
10
00
01
10
10
11
10
01
01
11
00
00
00
11
10
01
10
10
00
01
01
10
00
00
10
00
10
11
01
00
00
00
10
00
01
10
01
00
10
11
00
00
11
01
01
00
01
10
11
00
00
11
00
01
10
10
00
10
10
01
00
11
00
00
10
10
11
11
00
00
00
10
10
10
00
01
11
11
01
01
10
00
00
00
00
10
10
10
10
11
10
01
00
01
00
00
10
01
00
10
00
01
01
00
01
10
10
10
10
00
00
10
00
11
10
10
00
10
11
11
10
01
00
00
10
11
00
11
10
00
11
10
00
10
01
11
10
10
10
00
00
00
00
10
10
00
00
10
00
00
11
10
11
11
10
10
01
01
00
00
10
10
10
11
00
00
11
10
01
00
00
00
01
10
11
00
01
01
10
00
10
11
11
00
00
10
00
11
00
01
00
00
10
11
00
00
00
11
01
10
10
10
10
01
01
00
10
00
10
11
01
00
11
00
10
00
11
10
11
11
01
10
11
10
00
11
11
11
10
00
00
10
10
10
00
01
10
11
11
00
01
01
10
01
00
11
10
10
01
10
00
00
11
00
00
00
10
10
01
10
11
11
10
01
00
10
00
00
01
01
10
10
10
11
10
10
11
10
00
00
11
10
10
11
00
00
11
10
00
00
10
00
00
10
10
00
00
01
01
10
01
11
10
10
00
00
10
11
11
00
10
00
11
10
10
00
00
10
10
10
01
01
00
00
01
11
10
11
00
01
10
01
11
10
10
00
00
10
10
01
10
00
00
00
01
00
10
00
10
11
10
10
10
10
10
01
00
10
11
01
00
00
00
00
10
00
10
10
00
00
10
00
10
11
10
00
01
11
11
10
01
00
01
01
10
10
00
00
01
00
10
11
10
10
10
10
11
00
11
11
00
01
11
00
10
00
00
00
00
10
00
01
10
10
10
11
10
00
10
00
10
00
01
10
00
11
00
11
00
00
10
01
00
10
01
01
00
10
10
00
01
00
00
10
01
10
10
01
11
00
01
10
10
10
00
00
00
00
10
11
00
10
01
10
01
10
01
11
10
00
10
01
00
11
10
00
11
10
01
00
01
10
01
11
10
01
00
11
10
00
00
01
01
10
10
00
11
11
10
00
00
11
01
10
00
10
10
10
00
11
11
01
00
00
01
01
00
10
11
01
10
11
00
00
00
00
11
11
10
00
01
10
00
10
00
11
00
00
00
10
10
00
10
11
10
01
01
00
10
10
10
11
11
00
01
10
01
00
11
01
00
00
00
00
10
01
00
00
11
10
10
11
01
00
10
10
10
11
10
10
10
00
10
00
00
00
00
01
00
00
11
00
11
10
01
00
10
00
00
01
11
10
01
01
01
00
10
11
10
11
00
00
10
00
00
00
11
10
11
01
10
10
00
00
11
11
00
01
00
10
10
10
11
10
11
01
00
10
00
00
10
00
01
00
11
01
10
11
11
00
00
10
10
01
01
10
01
00
00
01
11
11
00
11
10
01
00
00
10
11
01
10
11
00
11
00
00
00
00
01
00
00
10
10
00
10
00
01
00
00
00
10
11
00
11
10
01
10
01
11
01
00
11
00
11
10
01
00
10
10
10
00
01
10
11
11
01
00
10
10
00
00
10
10
00
01
10
01
11
01
10
11
01
11
00
01
00
10
10
01
11
10
00
00
00
11
01
00
11
10
11
00
10
10
00
00
11
11
10
00
10
01
00
00
10
00
00
00
00
10
00
00
00
10
10
00
00
00
01
10
10
11
10
11
00
11
00
01
00
00
00
11
10
10
00
10
10
11
10
10
01
00
10
00
00
10
11
10
10
00
00
10
10
10
01
00
11
10
00
00
00
01
10
10
11
00
01
00
11
00
10
00
00
00
10
10
10
10
01
00
10
01
00
01
01
00
01
00
10
11
00
00
00
11
10
10
11
01
00
11
10
00
10
00
10
10
00
01
00
00
10
10
11
01
00
11
10
01
00
01
00
10
11
00
10
11
00
01
11
01
01
10
10
00
01
10
10
00
01
10
10
11
10
00
00
11
10
00
01
10
00
10
01
11
01
11
11
01
11
01
00
10
10
00
10
10
00
00
00
00
00
00
10
10
10
10
01
00
10
11
00
00
10
01
11
10
10
00
10
11
00
00
10
00
10
10
10
00
10
10
01
10
10
10
00
10
10
00
11
11
00
10
01
11
01
01
11
11
01
01
00
00
11
11
10
01
00
11
00
11
01
10
00
00
10
10
10
00
00
01
10
10
11
00
01
10
11
00
00
11
00
10
10
11
00
10
00
00
00
00
00
01
10
01
11
10
00
00
10
00
00
01
10
10
10
10
11
00
10
01
10
10
01
01
00
10
00
10
00
10
10
10
00
00
00
10
00
00
10
00
10
10
00
00
10
11
01
01
00
01
11
11
00
10
00
00
00
11
11
00
10
00
01
00
10
10
00
00
00
01
10
11
10
00
10
11
10
01
00
00
00
10
00
10
10
00
01
00
00
10
11
10
01
01
10
11
00
00
00
00
10
01
00
10
10
01
10
01
01
00
01
11
11
00
00
10
10
01
01
00
11
00
10
00
01
10
10
11
00
00
10
00
00
00
10
10
10
10
00
00
10
11
10
11
10
10
10
01
01
01
10
11
01
11
10
01
01
00
00
00
10
10
11
00
00
01
10
10
10
01
01
00
10
10
10
10
11
10
01
10
10
10
10
00
11
01
01
11
10
00
10
10
01
10
00
00
10
11
01
10
11
11
10
10
11
01
00
10
10
00
10
01
10
01
10
10
00
00
00
00
10
10
10
10
01
11
01
10
00
10
10
01
00
01
10
00
00
11
10
01
01
00
00
10
10
01
10
11
01
00
10
10
01
01
00
10
11
10
10
00
01
10
11
00
01
00
10
11
01
00
10
10
01
11
00
10
00
10
10
10
11
00
01
01
10
00
00
10
01
10
00
00
10
11
00
10
11
11
01
00
00
10
00
00
10
10
01
01
01
10
10
11
10
10
00
00
10
10
01
01
00
00
01
10
10
10
00
11
10
00
00
00
10
10
11
01
10
00
00
10
10
10
01
10
10
10
00
10
00
00
00
11
00
10
10
00
00
11
10
00
10
00
11
10
01
10
11
00
10
01
00
00
10
11
00
01
00
00
01
10
10
01
10
10
10
11
11
01
11
11
01
00
00
10
00
01
10
10
00
00
10
10
01
01
10
10
10
11
00
11
10
11
10
00
00
00
00
10
01
01
00
10
11
10
10
01
00
11
00
00
10
01
00
11
11
10
01
01
10
11
00
00
10
11
11
01
10
01
10
10
10
11
00
00
10
11
11
01
00
10
11
00
10
00
00
10
00
00
10
10
00
00
01
10
11
10
10
00
00
10
10
10
00
00
10
00
10
10
00
01
01
01
11
10
11
00
01
10
10
01
00
00
00
10
10
01
00
11
11
10
10
10
00
01
11
01
00
00
00
00
10
10
10
00
10
00
10
00
01
11
00
10
00
00
10
10
11
00
10
11
01
01
10
10
01
01
01
10
11
10
10
01
00
10
00
00
10
00
01
01
00
10
01
00
01
11
10
10
10
01
00
00
10
00
01
01
01
00
11
10
01
11
11
10
10
00
00
10
10
10
00
00
01
00
01
00
00
00
10
11
11
10
00
10
10
00
00
11
00
00
11
00
00
10
10
00
00
00
01
11
11
10
10
01
01
10
10
11
01
00
01
01
00
00
10
00
00
10
10
01
11
00
00
00
10
11
00
10
00
11
00
00
11
00
10
11
00
00
11
00
00
00
10
10
11
01
00
00
10
10
01
10
11
10
00
00
00
11
10
10
10
10
00
00
10
11
10
00
10
00
11
10
10
01
10
00
00
00
00
10
00
11
11
00
11
10
00
11
01
10
10
10
10
10
00
00
10
10
01
11
10
01
10
11
00
10
00
00
10
11
11
01
10
00
01
00
11
10
01
10
01
10
00
00
10
11
00
01
10
11
00
01
00
11
11
01
00
00
10
10
10
10
11
00
01
11
00
00
00
10
01
10
11
00
11
00
10
10
10
01
01
00
11
00
10
10
01
00
01
10
10
10
00
01
00
10
11
00
01
00
11
10
00
00
10
01
00
00
01
10
01
10
11
11
00
01
11
00
00
10
11
01
00
10
00
01
00
10
01
01
11
00
10
10
00
00
10
10
10
10
11
00
10
10
10
01
00
01
10
10
01
00
11
00
10
10
10
00
00
10
10
00
00
00
00
10
00
10
01
10
00
10
11
00
10
00
01
00
10
10
10
10
11
01
01
11
11
00
11
10
00
00
10
00
11
10
00
00
10
01
00
10
11
00
10
01
11
11
11
00
11
10
10
00
01
11
11
10
00
10
10
11
00
00
11
00
00
00
10
11
11
00
01
11
11
00
11
10
01
01
10
10
00
11
10
00
00
10
10
00
01
10
10
10
00
00
01
10
01
00
10
10
10
00
10
10
00
11
00
10
11
10
00
00
10
11
00
00
01
10
10
00
10
10
01
11
00
01
10
01
10
11
00
00
10
11
01
01
11
11
00
00
00
10
00
10
01
00
10
10
10
01
01
10
10
00
10
01
00
01
11
11
01
10
10
10
01
01
11
11
00
00
01
11
10
10
01
11
11
00
00
10
10
11
10
01
11
10
00
01
10
01
00
11
01
00
11
00
10
10
01
00
00
00
10
10
10
11
00
11
00
11
10
11
11
01
10
01
00
10
00
00
01
01
10
11
00
11
00
01
00
10
10
00
00
11
00
10
10
10
10
01
01
10
10
00
00
00
01
00
01
11
11
11
01
01
11
10
11
00
00
00
00
10
11
00
00
10
10
10
01
10
00
10
00
00
00
10
10
00
00
00
00
10
10
00
11
00
00
00
01
10
00
10
11
11
01
10
11
10
00
10
00
00
10
00
11
00
00
10
01
10
10
01
00
10
01
01
11
11
10
01
01
00
10
00
00
11
10
11
00
00
10
01
01
10
10
10
10
00
00
00
00
11
10
01
00
01
11
10
11
01
10
11
00
01
00
00
10
10
00
01
00
11
10
01
01
00
11
11
00
00
01
10
00
11
11
01
10
11
10
01
00
10
00
00
11
10
00
01
00
11
00
10
11
00
01
00
11
10
10
10
00
10
10
00
01
11
10
10
10
00
00
11
10
10
00
01
00
10
10
00
00
10
10
10
10
11
00
11
01
10
10
01
00
11
01
01
11
10
00
10
00
01
10
10
00
00
10
00
00
10
11
10
10
00
00
01
00
10
00
11
10
10
00
01
11
11
00
00
00
10
00
10
11
10
00
01
00
10
10
01
00
10
10
10
00
00
10
00
11
00
00
11
00
11
10
00
10
01
10
10
10
00
10
00
00
01
11
01
00
10
00
00
00
10
10
01
00
00
00
00
10
01
00
10
10
00
00
10
10
01
00
11
00
00
00
10
00
10
00
00
11
01
00
00
00
11
10
10
10
11
10
10
00
00
01
00
10
10
10
11
00
11
01
01
10
10
00
11
10
00
11
10
01
01
00
11
10
11
00
00
10
10
00
01
00
00
01
11
10
10
10
10
10
11
00
11
00
00
01
11
00
10
00
00
11
00
10
10
10
00
10
01
11
11
00
10
00
10
00
00
10
10
01
00
00
00
00
00
00
00
00
01
10
11
10
11
11
11
11
00
01
10
01
00
10
00
00
11
10
00
01
10
10
01
00
11
10
11
01
10
01
00
10
11
10
00
11
10
01
10
01
10
11
10
10
01
10
00
10
00
00
11
00
00
10
01
00
11
01
10
00
00
11
01
11
00
10
10
11
01
00
11
10
10
00
10
00
01
00
10
11
01
00
10
10
00
00
10
00
10
10
01
10
10
00
10
10
10
00
01
10
10
10
11
01
01
10
10
01
01
00
11
10
00
00
11
00
11
00
01
11
00
00
00
01
11
00
01
10
00
00
10
00
11
00
00
11
01
00
01
00
00
10
10
11
00
11
10
00
00
01
01
01
11
10
01
01
00
10
01
00
11
00
01
01
11
10
00
11
10
01
01
10
01
01
10
01
10
10
10
00
00
01
10
11
00
11
11
11
00
10
10
00
11
00
00
00
10
00
00
00
10
11
10
10
11
11
10
11
10
10
00
00
00
00
10
00
10
10
00
10
11
00
00
10
10
00
00
00
10
00
11
00
01
00
10
00
00
00
01
00
10
10
10
10
00
11
00
10
10
01
01
10
00
00
11
10
00
00
11
10
11
10
11
00
10
11
10
00
00
00
10
01
01
00
00
10
10
00
01
11
10
00
00
00
01
10
11
10
00
00
00
10
00
11
11
10
00
10
10
10
01
01
11
10
00
10
10
00
00
00
11
10
00
10
00
10
10
00
00
01
01
01
10
11
01
10
00
00
01
10
10
01
01
11
01
00
10
01
10
00
00
11
11
00
01
00
01
10
00
10
00
00
00
01
11
01
10
01
00
11
00
11
10
00
10
10
10
00
01
11
10
01
00
00
00
10
10
00
10
10
10
01
10
11
11
01
11
10
00
10
01
01
11
10
01
00
10
00
00
00
11
11
01
01
10
10
10
10
01
00
00
10
10
11
10
01
00
01
10
01
10
01
10
10
00
10
01
00
11
10
10
10
11
10
00
10
00
01
10
10
01
10
01
00
01
10
10
00
11
00
00
10
00
11
10
10
11
00
01
10
00
11
10
00
00
00
10
11
00
10
00
01
00
00
00
10
11
11
10
00
00
10
10
11
10
11
00
10
10
11
00
10
10
01
00
10
10
00
10
01
10
11
11
00
11
00
01
00
00
10
00
10
10
00
11
01
01
11
11
00
10
01
00
00
10
10
00
00
10
11
11
11
00
10
00
11
11
01
01
10
01
01
11
00
10
10
01
10
00
11
11
01
10
11
10
10
00
00
01
11
10
10
10
10
10
01
10
00
01
00
11
00
01
11
10
00
01
10
11
00
00
11
10
10
10
00
00
11
11
00
00
10
00
11
10
00
10
00
00
10
01
01
01
10
00
10
00
00
11
00
11
00
01
11
01
00
00
00
11
00
01
11
10
10
00
00
11
10
11
00
00
10
10
01
01
10
01
00
11
01
01
10
10
00
01
10
10
10
00
11
01
00
10
11
00
01
10
11
00
00
00
11
10
11
10
00
00
00
10
11
10
00
01
11
10
00
10
00
01
10
00
00
10
11
00
11
00
00
01
11
11
10
00
10
00
11
00
00
10
10
10
10
10
10
01
01
10
00
10
11
01
00
00
10
10
00
00
11
10
00
01
11
00
00
00
00
01
00
10
10
00
11
10
10
00
00
00
00
01
01
00
10
00
11
00
01
10
10
00
11
10
11
01
00
11
10
10
10
10
01
00
01
01
10
11
10
10
10
00
10
10
10
01
10
10
01
00
10
00
00
11
00
10
10
00
10
00
01
00
10
10
10
10
10
00
00
11
00
01
01
11
10
10
00
00
10
10
10
01
01
00
00
11
10
10
00
00
10
10
10
11
00
00
10
10
11
01
11
10
00
10
00
00
00
00
10
10
10
00
10
10
00
00
10
11
11
10
10
11
10
10
00
01
11
11
11
01
00
01
10
10
10
00
00
10
10
00
10
00
00
01
01
10
10
11
00
01
00
01
11
10
11
00
01
10
10
01
00
11
10
00
01
00
00
00
10
10
00
00
10
01
10
10
01
11
11
01
01
10
00
01
11
10
10
00
00
10
00
11
01
01
10
00
00
01
10
01
11
10
00
00
01
10
00
00
00
11
11
11
10
01
10
10
00
10
11
11
00
00
10
01
10
11
11
01
10
10
10
01
11
10
01
01
00
10
00
01
01
00
10
10
00
01
00
11
10
11
00
00
10
10
00
00
11
11
10
00
11
00
10
00
10
00
00
11
10
10
10
10
00
10
01
00
11
00
01
10
10
11
10
10
00
00
10
11
10
01
00
10
10
10
01
10
10
01
11
10
10
00
00
10
10
10
01
11
01
00
10
00
10
00
00
10
11
10
10
11
00
01
00
10
10
01
00
00
00
01
01
01
00
11
00
01
10
10
00
00
11
11
01
00
11
00
10
00
00
11
01
01
11
10
01
01
10
10
00
00
10
00
01
00
10
10
00
10
00
10
10
00
01
11
01
10
11
00
00
11
00
00
10
10
10
11
00
00
10
00
10
11
01
01
10
00
10
11
10
01
11
11
10
01
11
00
10
11
00
01
11
00
10
00
10
11
00
00
10
10
00
00
10
01
01
10
11
00
00
11
01
00
00
11
10
00
00
00
10
00
10
00
11
11
00
01
11
11
11
00
01
00
10
10
00
01
11
00
00
10
00
00
00
11
10
00
10
10
11
00
11
00
01
10
11
10
01
10
10
00
01
01
10
11
01
00
01
00
10
11
00
10
01
00
11
00
11
01
11
10
01
00
11
00
01
11
00
00
10
01
10
10
01
00
10
11
00
00
00
00
10
00
00
10
00
00
01
11
00
10
11
10
10
10
01
01
10
00
10
00
00
10
10
00
10
11
11
01
01
00
10
00
00
00
01
00
10
10
10
11
00
00
01
10
10
10
00
00
00
11
00
00
10
01
11
10
11
11
00
10
10
00
11
10
00
11
11
00
10
00
10
00
00
10
01
11
00
00
00
11
00
00
11
00
01
10
11
10
00
01
00
00
10
11
11
00
00
11
00
01
00
11
10
00
01
11
00
01
11
10
00
10
00
01
10
10
11
00
10
10
10
00
10
10
00
10
11
10
11
10
10
11
00
00
10
10
00
11
10
00
00
00
01
10
00
10
01
11
11
11
10
10
11
01
01
10
01
10
00
01
01
10
10
10
01
01
01
00
11
01
00
10
11
11
10
10
00
00
00
10
01
10
11
01
10
10
10
10
00
00
10
11
01
11
10
01
00
00
00
10
01
00
00
11
10
00
00
00
11
00
11
11
00
01
01
01
11
00
00
00
01
00
10
10
01
00
00
00
11
10
10
10
00
01
00
10
10
00
10
11
10
01
10
11
10
00
01
10
00
10
10
11
00
01
10
01
00
10
00
01
00
10
01
00
10
10
11
10
00
10
00
11
11
11
10
00
01
01
00
00
11
00
00
10
10
01
00
00
11
10
00
11
10
10
00
00
10
01
10
00
00
10
10
00
01
10
01
01
11
11
00
10
11
00
01
10
11
00
01
00
11
10
01
01
01
11
10
10
00
10
00
00
10
10
00
00
10
00
11
00
00
11
00
01
01
00
11
01
01
10
11
00
01
00
00
10
10
10
00
00
10
11
00
10
10
01
01
00
11
10
00
11
00
10
10
11
00
00
10
00
00
01
11
10
01
00
11
10
00
10
01
00
10
10
00
00
10
01
01
10
10
01
11
00
00
10
10
10
00
00
00
00
01
00
10
11
10
11
00
00
00
10
01
10
11
10
11
00
11
10
10
00
00
00
11
10
10
00
11
10
01
01
00
11
10
10
00
10
10
10
11
10
10
00
10
01
00
11
00
11
10
10
10
00
00
11
10
01
10
11
00
10
11
01
00
11
10
10
00
00
10
11
01
00
10
11
01
10
01
00
10
01
00
10
01
00
10
01
10
10
10
00
10
11
00
01
01
01
10
01
00
10
01
01
00
10
00
00
00
00
10
10
00
01
00
01
10
00
10
11
11
11
11
00
00
01
10
10
10
00
01
10
00
00
11
10
00
00
10
11
00
10
00
11
00
00
11
11
00
00
00
10
10
00
00
11
00
00
01
00
10
11
01
10
10
11
00
01
10
00
11
11
11
10
00
00
11
01
00
10
10
11
00
10
11
00
10
00
10
10
10
01
00
00
10
11
01
10
00
01
10
10
00
00
10
00
10
01
01
01
00
10
01
10
00
11
00
00
00
11
00
11
10
00
00
10
00
10
01
00
11
10
00
00
00
01
00
01
10
10
10
10
10
00
10
10
10
10
10
00
00
10
00
01
00
00
10
10
01
00
10
01
01
10
10
00
00
10
11
10
10
00
00
00
11
00
00
10
10
10
00
01
10
10
01
00
10
01
11
01
10
10
00
10
10
01
00
11
10
10
00
00
10
00
11
00
01
01
10
10
10
10
01
11
11
00
00
11
10
01
11
10
00
00
11
00
00
10
00
10
10
01
00
10
10
00
00
00
10
11
00
10
10
11
10
00
00
10
11
11
00
00
10
00
11
00
00
01
01
10
10
01
11
10
10
11
00
01
00
10
10
10
10
10
00
11
01
00
01
00
00
10
00
01
00
11
10
00
00
11
00
10
10
01
01
00
00
01
01
10
00
10
10
11
01
10
00
00
11
00
01
10
10
00
11
00
00
10
11
11
00
01
11
10
00
10
01
00
11
10
01
00
10
01
01
10
10
01
00
01
00
10
10
00
00
11
11
01
10
10
00
10
01
01
10
10
10
10
00
00
00
11
11
01
00
00
00
01
00
10
10
00
10
11
01
10
10
01
10
00
00
00
00
11
00
11
00
11
10
00
00
10
10
10
10
00
10
01
11
01
00
10
10
01
10
11
10
00
00
10
00
10
01
00
00
11
00
10
00
00
11
10
01
11
11
10
01
10
11
11
00
01
10
01
11
00
00
11
00
11
10
01
00
00
10
11
00
10
10
00
10
10
10
00
10
11
00
01
10
11
00
00
11
00
11
10
01
10
10
00
10
00
00
10
00
10
11
11
00
11
10
01
00
00
10
11
10
00
11
10
00
10
00
00
11
00
00
00
10
00
00
00
10
10
10
10
01
00
01
00
10
01
00
01
01
00
00
11
10
00
01
00
10
11
10
10
00
01
00
00
00
01
10
00
00
00
11
00
10
10
11
00
01
00
11
00
11
01
01
10
10
10
10
01
11
11
01
00
10
10
00
11
00
11
10
10
00
00
00
00
11
10
11
00
10
00
00
11
01
01
10
10
01
00
10
00
00
10
11
00
11
00
01
10
10
11
00
10
10
10
01
00
01
00
10
10
10
00
11
00
01
01
01
10
00
10
10
11
00
01
10
10
01
00
00
10
11
01
10
10
11
11
00
10
00
10
11
00
00
10
10
00
00
10
10
10
01
10
10
00
00
00
01
11
10
00
01
10
10
10
00
00
11
10
10
10
10
10
00
01
10
00
00
11
00
00
10
00
10
10
01
11
11
11
01
00
01
10
00
01
10
10
01
10
00
00
10
01
00
11
10
10
10
00
01
10
10
00
10
11
00
10
11
10
00
10
00
10
00
11
01
10
01
01
00
10
01
11
10
10
00
10
10
10
10
00
01
00
00
00
00
11
10
11
00
10
10
10
10
10
01
00
00
00
00
01
01
11
11
00
11
00
10
10
01
00
00
10
10
11
00
10
01
01
11
10
00
10
11
10
11
00
01
00
00
10
01
00
10
10
10
11
01
00
00
00
11
11
00
10
00
00
11
11
00
10
10
00
11
01
00
11
11
01
10
10
01
10
00
00
10
10
00
00
11
11
00
00
10
00
10
00
01
10
11
00
11
00
00
10
01
00
01
00
10
00
10
10
11
00
11
11
10
00
10
00
00
10
10
00
00
10
10
01
11
10
10
10
00
00
10
00
00
00
00
01
00
01
10
11
10
10
00
10
10
00
11
10
11
01
01
00
00
01
10
00
10
11
00
00
10
10
00
00
10
01
00
01
01
10
00
00
10
11
11
00
00
00
00
01
11
10
10
00
00
00
00
00
10
00
10
00
00
11
00
00
11
01
01
10
01
11
00
10
01
10
11
00
11
00
10
10
10
01
11
10
01
11
10
11
10
01
11
01
00
11
00
01
11
00
00
11
10
01
00
10
11
00
10
10
01
01
11
00
01
00
00
10
10
10
00
00
10
00
11
00
00
01
10
00
00
10
01
00
11
00
00
00
10
11
10
01
01
10
11
00
00
10
10
00
11
01
10
00
11
01
10
10
00
11
01
01
10
00
01
01
10
00
00
10
11
10
00
00
11
10
10
00
00
10
11
10
10
01
00
11
00
01
10
01
01
00
00
10
10
11
00
10
10
11
11
00
00
10
01
10
00
00
11
10
00
00
00
11
10
01
00
11
10
10
10
10
10
00
00
10
01
01
10
11
10
01
10
00
10
10
11
00
00
11
10
00
00
10
11
01
00
00
10
00
11
00
00
11
11
00
10
10
10
10
10
01
00
10
01
10
00
10
01
00
10
10
00
10
00
00
11
10
00
00
01
01
11
01
10
10
00
10
10
11
00
00
00
11
00
00
10
10
00
00
10
00
00
11
11
10
00
10
10
00
01
00
11
10
11
00
01
10
11
10
10
10
00
01
10
10
00
00
11
01
10
10
10
01
00
00
00
00
10
00
01
10
10
00
11
01
00
11
10
10
10
11
10
10
00
00
00
11
10
00
10
10
00
00
01
10
01
00
11
01
01
10
00
10
10
10
01
10
00
00
11
00
10
00
01
10
01
01
11
01
01
10
10
00
00
11
01
00
10
01
01
01
11
01
11
00
10
00
01
10
10
11
00
00
00
01
00
10
00
00
00
10
01
10
10
11
00
11
11
10
00
00
00
11
01
01
10
00
00
01
01
10
11
01
11
00
10
11
10
11
01
10
00
01
10
00
00
11
11
01
00
10
01
00
10
00
00
11
10
00
10
01
00
11
10
00
00
01
00
00
10
00
00
00
01
10
10
10
00
10
11
10
00
00
10
01
10
00
00
10
10
00
00
10
10
10
11
00
10
10
11
00
00
01
10
11
11
10
10
10
00
01
10
10
01
00
11
00
01
11
10
11
00
00
11
10
00
10
10
01
00
11
10
10
01
10
10
00
01
11
11
01
01
10
10
11
01
11
10
10
00
00
11
00
01
11
10
10
10
01
01
10
11
00
00
10
10
11
11
00
01
10
10
00
00
01
01
00
10
10
10
01
00
10
00
10
10
01
11
10
00
10
10
00
00
00
10
10
11
00
01
00
10
00
00
10
01
10
11
11
00
00
00
10
10
10
01
01
00
10
10
10
10
11
10
10
01
10
11
00
00
10
00
00
10
01
00
11
10
00
10
00
10
01
11
11
00
01
11
00
11
10
00
00
01
01
00
00
10
00
00
01
10
01
00
01
00
10
01
00
10
10
10
00
00
11
01
11
01
11
01
01
00
10
10
00
00
10
10
00
00
10
00
01
00
11
00
00
00
00
10
01
10
10
11
10
10
10
10
11
00
00
01
00
10
00
10
10
00
01
10
11
10
01
00
00
00
00
10
00
10
10
11
10
01
00
10
10
10
11
11
10
00
00
00
11
10
01
10
10
00
00
11
11
01
01
01
10
00
00
10
00
11
00
01
00
10
00
10
00
00
00
11
11
10
01
10
10
00
00
01
11
01
01
00
10
00
10
10
01
00
00
10
10
00
10
00
10
00
01
10
01
11
11
10
10
01
00
00
10
11
00
00
11
11
00
00
01
11
00
01
01
00
11
10
10
00
01
11
00
10
10
01
00
00
00
00
00
00
10
10
10
11
00
10
01
01
11
01
10
11
11
01
01
10
00
11
10
01
11
10
01
01
10
01
00
10
00
10
10
01
01
11
00
01
01
10
10
00
00
10
10
00
11
00
10
10
00
10
10
11
10
10
00
01
10
11
10
01
10
10
00
01
00
10
00
11
10
10
01
00
00
10
11
11
10
10
01
00
01
11
10
10
10
10
11
01
10
00
01
01
01
00
10
10
00
10
01
11
10
01
01
10
10
01
01
00
01
11
01
00
10
01
01
11
00
10
10
01
10
10
10
01
00
11
00
01
00
01
10
00
00
11
01
01
10
11
00
11
11
00
10
10
10
00
00
10
01
00
10
10
00
00
10
11
00
00
10
01
10
00
00
00
11
10
00
01
00
10
11
01
00
10
11
11
10
00
10
00
10
01
10
00
01
10
00
11
11
10
00
10
10
10
00
00
01
00
00
10
01
10
01
10
10
11
11
00
01
00
00
00
00
10
00
01
11
00
11
10
10
10
01
00
00
00
10
10
11
00
10
01
10
00
00
01
10
01
00
01
00
01
10
10
01
11
00
00
10
10
10
01
00
11
11
10
10
00
00
00
10
01
10
10
11
01
00
00
00
00
01
10
11
01
00
01
00
00
10
10
00
10
00
01
00
10
10
00
11
01
10
10
00
00
10
10
10
00
00
01
00
00
11
11
00
00
10
11
00
01
10
00
11
01
11
10
00
00
10
11
01
10
10
11
00
00
00
11
10
10
00
00
10
11
10
01
00
00
11
00
11
00
00
10
10
10
11
10
00
01
00
10
10
10
00
10
01
00
00
10
00
00
00
00
00
00
10
10
10
10
01
00
10
00
00
10
10
10
00
01
01
10
11
00
10
10
00
10
11
00
01
00
00
10
00
00
00
01
01
10
10
00
10
11
01
10
10
10
11
01
01
00
00
00
00
01
01
10
11
10
00
10
00
11
01
10
00
11
00
10
10
00
10
10
01
10
11
00
00
00
01
00
00
00
11
01
01
10
10
10
01
01
10
11
00
00
01
00
01
01
10
10
01
10
10
01
01
00
10
01
10
00
00
10
11
10
00
10
01
10
00
10
00
00
11
10
00
00
10
00
00
10
11
10
00
00
00
11
00
10
00
00
11
10
10
00
11
10
00
10
10
10
00
10
01
00
00
00
01
10
11
00
11
10
10
10
11
11
01
11
10
00
01
00
01
10
11
11
01
10
10
01
10
01
00
10
00
10
10
00
00
11
00
11
11
10
00
10
00
00
00
11
00
00
00
00
10
00
10
10
10
10
01
00
11
10
00
10
00
00
10
01
10
11
10
01
10
10
00
10
10
00
10
11
10
00
00
10
01
10
10
00
10
01
11
01
01
10
00
11
00
01
11
10
00
10
10
11
00
01
00
00
10
10
01
00
00
10
00
00
10
00
11
00
00
11
10
00
00
10
10
00
01
10
01
01
10
01
10
00
01
00
10
01
01
10
10
11
01
00
10
11
10
00
01
00
01
11
10
01
11
01
01
00
10
10
01
01
10
10
00
10
11
10
10
10
00
00
00
10
10
01
00
10
11
10
10
00
11
11
10
00
10
01
10
10
11
00
10
10
00
11
01
01
00
01
00
01
00
00
10
11
10
00
01
10
10
00
10
11
00
01
11
10
00
10
00
00
10
00
01
11
11
10
10
01
11
00
10
01
00
10
10
00
10
11
00
00
00
00
10
00
00
10
10
10
01
00
10
00
00
01
11
01
10
11
00
01
10
10
10
00
10
10
11
01
00
10
00
11
00
00
10
10
10
00
11
00
01
00
10
10
01
10
00
00
11
11
01
00
01
00
10
01
11
10
00
00
00
10
10
01
00
10
11
10
11
11
01
00
10
10
11
00
10
00
00
10
11
00
11
00
11
10
00
10
01
01
01
00
10
10
10
00
00
11
10
11
10
10
11
10
11
00
10
00
10
01
10
11
00
10
00
11
10
10
10
01
10
11
10
01
01
00
00
01
01
11
10
11
11
00
00
10
10
01
00
10
10
10
00
01
01
10
11
10
01
01
00
10
00
10
10
10
00
10
10
11
00
00
00
10
11
00
10
01
11
11
10
00
11
10
01
00
00
11
00
01
01
10
01
00
01
11
11
00
10
11
10
11
00
00
10
10
01
00
00
11
00
11
00
00
10
10
11
01
10
11
10
10
00
11
11
00
10
10
00
01
01
00
00
10
10
10
00
00
11
11
10
01
10
00
01
10
10
10
01
01
10
11
00
00
10
10
10
11
00
01
10
10
10
10
00
00
10
10
01
10
00
11
00
01
01
00
11
00
10
01
11
11
00
00
00
00
00
01
10
11
00
10
11
11
10
00
10
00
10
00
01
11
00
10
10
11
11
10
00
00
10
11
00
01
10
10
00
11
00
10
10
01
00
11
10
10
00
10
11
00
11
00
01
10
01
10
11
01
00
01
11
01
00
00
10
10
00
01
10
10
10
00
00
00
01
00
01
10
11
10
10
10
00
10
10
00
10
10
01
00
01
11
00
10
00
11
10
00
00
01
11
00
00
01
11
01
01
01
10
10
01
00
10
10
01
01
10
01
10
10
10
00
00
10
10
01
10
01
00
00
00
00
11
10
10
00
11
10
10
01
01
00
11
10
11
11
00
01
01
00
00
01
11
00
10
10
10
00
00
10
10
00
11
00
00
00
10
10
11
10
00
10
11
10
01
10
10
10
01
10
00
11
10
10
11
00
00
01
10
10
00
10
00
00
00
10
10
11
00
00
00
00
11
01
00
00
00
10
10
11
00
11
10
00
00
11
10
00
00
11
00
00
11
10
10
00
00
01
00
11
11
10
00
00
00
10
00
00
10
11
00
11
00
00
00
11
01
00
01
10
11
01
10
01
10
10
00
11
00
11
11
01
00
10
00
01
11
00
01
10
11
01
00
10
10
01
01
11
10
00
00
11
10
01
00
10
10
11
10
00
10
10
11
11
11
11
00
10
01
01
10
10
00
01
11
00
10
10
01
10
10
11
00
00
00
00
10
11
11
01
01
10
00
00
10
01
10
10
00
00
00
11
00
10
11
00
00
11
10
01
11
00
00
10
10
00
00
00
01
00
00
10
10
00
10
00
10
11
00
01
10
00
10
10
00
10
00
01
10
10
10
10
00
01
11
01
01
11
01
10
00
10
00
00
10
10
10
00
01
10
00
10
01
00
10
00
10
00
10
00
00
10
10
10
10
01
01
10
00
00
10
00
11
00
01
00
10
10
11
00
00
01
00
01
01
10
11
11
10
00
10
01
11
00
00
00
00
10
01
10
10
00
00
00
10
01
00
10
00
00
00
00
00
10
11
10
01
11
01
00
10
11
01
00
00
11
10
01
01
11
10
11
10
11
11
00
10
11
10
10
00
00
00
10
10
00
01
10
01
10
10
10
10
11
00
00
10
00
00
10
10
00
00
11
00
10
11
01
01
01
00
11
11
10
10
11
01
00
00
10
00
11
11
01
11
10
00
11
00
11
11
00
00
01
00
01
10
10
10
10
11
00
11
10
01
11
10
00
10
00
00
10
10
00
01
11
10
10
11
10
10
00
10
11
00
00
00
01
10
11
10
01
00
01
10
01
10
11
00
00
10
11
11
00
01
11
00
01
10
11
10
11
01
00
00
10
01
00
00
11
01
01
11
10
00
10
10
00
10
11
01
10
10
10
01
00
01
10
11
00
01
10
00
11
01
00
01
10
11
00
00
00
10
01
01
01
11
01
00
10
10
11
10
01
01
10
10
11
00
11
10
01
00
00
00
00
10
10
01
00
11
10
01
00
11
11
01
00
10
00
01
10
10
00
00
10
01
10
10
10
01
00
10
10
01
10
11
00
00
00
10
01
10
11
00
00
10
10
00
10
10
00
00
00
10
10
00
00
00
00
10
00
11
10
00
00
11
10
11
00
00
10
10
10
11
00
01
00
00
00
10
10
00
10
10
01
00
10
10
01
10
01
01
11
01
10
10
00
00
10
10
00
00
01
10
10
00
11
11
10
00
10
00
10
00
00
10
00
10
10
10
11
00
00
10
00
11
10
01
00
00
01
10
10
10
10
00
00
00
11
00
10
10
00
10
10
10
01
00
01
10
11
10
00
10
10
01
00
10
00
10
00
10
00
00
11
11
00
01
10
00
11
00
00
11
11
01
11
11
11
00
10
00
01
11
00
01
11
01
00
11
00
01
11
11
10
01
10
00
00
01
11
11
00
01
00
10
00
10
10
00
01
00
10
11
11
00
10
01
11
10
00
00
01
00
10
11
11
10
00
01
00
00
11
11
00
10
01
00
11
10
01
00
10
01
00
11
01
00
10
00
10
11
10
10
00
00
01
10
00
00
01
00
10
10
00
10
10
00
01
00
00
10
01
11
10
00
10
10
01
00
11
10
01
00
01
10
00
00
10
01
11
01
00
11
00
01
00
00
10
11
10
00
00
10
00
10
10
01
11
00
00
11
10
10
11
00
00
00
00
11
11
01
10
10
01
01
00
01
00
10
00
00
10
00
00
10
00
11
00
01
11
10
00
00
10
10
00
10
00
00
11
10
01
11
11
00
01
11
01
00
11
00
00
10
10
10
00
11
10
00
10
11
01
00
00
10
00
01
10
00
11
00
10
00
00
01
11
10
11
00
01
00
00
11
01
00
11
11
10
00
11
10
00
00
11
00
01
00
01
10
10
01
01
10
10
10
00
00
11
10
11
01
10
00
00
11
00
00
10
00
10
00
00
11
01
01
11
00
11
00
01
10
00
00
11
00
00
00
10
10
11
11
10
00
10
00
01
10
10
11
11
00
10
01
01
11
00
01
00
10
10
10
01
00
01
10
00
01
10
00
00
10
10
01
10
10
01
11
10
11
10
00
00
00
00
00
00
10
00
01
00
00
11
00
00
11
10
11
00
00
11
10
11
00
00
10
10
10
10
10
01
00
11
00
01
00
11
00
10
10
00
00
10
10
11
10
10
11
00
01
10
00
10
10
10
00
00
00
11
11
11
10
00
00
00
10
00
10
10
00
11
00
11
01
10
11
00
00
00
10
11
00
00
10
01
10
01
10
11
01
00
01
10
00
11
00
00
01
10
10
10
11
00
00
01
10
10
01
10
00
00
10
00
10
00
10
11
11
11
00
10
00
00
11
01
01
10
10
00
10
10
10
00
00
00
11
10
00
01
00
10
10
10
00
10
10
11
00
00
11
11
01
00
11
00
00
10
10
10
10
00
00
01
10
11
10
10
00
11
10
10
10
00
10
00
01
11
01
10
01
10
11
00
10
10
11
10
00
10
10
01
10
11
10
00
00
00
00
00
10
11
10
00
00
10
00
00
10
01
01
11
00
10
00
11
10
00
10
10
00
11
10
10
10
10
00
11
10
00
00
00
01
10
00
10
11
00
10
00
10
10
11
01
00
00
10
11
10
10
01
01
10
10
10
10
10
11
00
00
10
11
11
00
00
10
00
01
10
00
00
10
10
11
00
00
10
10
11
10
00
11
00
01
00
00
11
11
00
01
01
10
01
11
00
00
10
11
10
00
01
01
00
10
10
10
11
11
00
10
11
00
10
10
10
11
01
10
10
00
11
00
00
01
11
00
10
10
00
00
10
10
10
00
01
00
00
00
10
10
01
11
01
00
11
00
00
01
11
00
00
10
11
00
10
11
11
00
00
00
00
10
00
00
10
10
00
00
10
10
10
11
01
01
00
10
01
11
00
11
00
10
10
10
00
11
11
00
00
10
10
00
00
10
01
01
11
11
10
10
11
00
00
01
11
00
01
10
00
10
10
10
10
01
00
10
10
10
11
00
00
01
10
10
00
10
10
01
10
11
11
10
10
10
00
11
00
01
10
01
10
10
10
00
11
11
00
01
10
10
10
11
10
11
00
01
10
01
00
00
00
11
00
01
10
10
01
01
10
11
10
00
00
10
10
01
10
10
00
01
10
00
01
10
00
00
11
11
00
01
00
00
10
10
10
00
00
10
10
00
11
00
01
11
11
01
11
11
10
01
00
10
01
00
11
11
00
00
10
00
00
10
11
00
11
10
11
01
10
10
01
00
11
10
01
10
00
10
11
10
00
11
00
01
11
00
00
00
10
01
11
10
10
11
00
10
00
10
01
01
10
11
00
00
10
11
00
00
10
10
01
10
00
10
01
11
10
01
10
10
00
00
10
10
00
00
10
10
10
11
11
11
10
10
10
10
00
01
00
10
10
00
11
00
10
00
00
10
11
00
01
10
00
11
10
10
00
00
11
10
01
00
10
10
11
10
01
00
00
01
00
00
10
10
01
00
10
00
01
11
00
10
10
01
00
10
10
10
11
00
01
00
01
11
11
10
00
10
10
10
01
00
11
10
11
00
01
00
10
11
00
10
10
10
00
00
00
11
10
10
00
00
00
00
10
10
00
01
00
00
11
11
10
10
00
10
00
11
00
01
10
11
00
11
10
01
01
11
10
01
10
00
00
11
00
00
10
10
00
01
00
01
10
10
10
10
11
00
00
10
10
00
10
00
01
00
11
10
01
00
01
10
11
00
01
10
00
00
00
00
10
01
10
10
10
00
00
01
00
10
10
00
00
10
00
10
10
10
10
10
00
10
10
10
10
10
00
01
01
00
11
11
10
00
01
00
01
00
11
10
10
11
11
10
00
10
00
10
10
00
01
10
01
10
11
00
10
00
11
10
11
01
01
01
00
10
10
01
00
10
11
01
01
01
10
10
01
00
01
10
10
01
11
10
10
10
00
10
11
00
00
10
10
11
10
01
10
10
01
01
10
11
01
00
10
10
10
10
01
00
10
10
11
01
01
10
10
11
10
11
11
00
01
00
11
10
00
10
10
00
00
11
10
01
00
00
10
10
11
11
01
00
00
11
00
10
00
10
11
01
00
00
10
10
11
00
00
00
11
10
10
11
10
10
00
00
10
00
00
10
11
10
00
10
10
01
01
00
01
11
00
00
10
10
00
00
00
00
10
11
10
11
10
10
10
10
00
01
10
10
00
01
01
10
01
11
11
10
10
00
00
00
10
00
00
01
10
01
00
10
10
11
01
10
00
01
01
10
00
00
11
01
11
10
01
01
01
10
11
11
00
01
10
11
01
01
10
00
00
00
01
10
00
00
01
10
00
11
10
10
10
00
10
10
00
10
01
01
00
10
00
00
10
00
00
10
10
00
00
00
10
10
01
00
10
00
10
00
00
10
10
00
01
10
10
10
11
00
00
10
00
00
10
00
11
01
10
10
00
00
10
10
00
10
10
00
01
00
00
01
10
01
01
00
01
00
11
10
11
11
01
11
10
00
01
00
00
01
10
11
10
00
11
00
00
11
00
00
11
10
10
11
10
00
10
00
01
11
10
00
01
00
10
10
00
01
10
11
00
01
10
11
11
11
00
01
00
10
10
11
10
01
00
11
01
01
10
10
11
00
10
11
01
00
00
00
10
00
00
10
10
00
10
10
01
00
00
10
01
10
10
10
10
10
10
10
00
00
11
10
10
01
00
11
01
10
00
01
00
01
11
01
01
11
00
00
11
10
11
00
01
10
00
01
01
10
01
00
11
00
00
10
00
00
10
00
10
10
01
10
11
00
11
10
00
00
11
11
01
00
10
00
00
11
00
01
00
11
10
00
01
10
11
01
10
11
00
10
10
00
00
00
00
10
00
00
00
10
10
10
00
10
01
00
00
00
10
10
11
10
10
00
00
11
00
10
00
00
11
10
10
01
01
01
00
10
10
00
11
11
00
10
11
11
00
10
11
00
01
00
01
10
00
10
10
00
00
11
11
11
10
11
10
00
01
10
10
01
00
11
00
00
10
10
01
00
00
11
10
00
00
10
10
10
01
00
00
10
00
10
00
10
10
10
11
10
00
00
00
00
01
00
10
10
10
11
10
00
01
00
10
00
01
11
10
01
01
10
01
01
10
01
10
11
01
10
10
10
01
00
10
10
01
00
11
00
11
00
00
01
10
11
00
10
10
11
00
00
11
10
00
10
11
11
00
01
10
11
00
00
00
00
00
00
10
10
10
11
10
01
10
11
10
01
11
00
00
11
00
00
11
10
00
01
10
10
10
01
10
01
10
00
10
01
11
10
00
00
01
10
00
00
00
10
00
00
11
10
01
10
00
00
00
10
10
11
00
10
01
00
00
01
11
10
10
11
11
11
10
00
01
10
10
00
11
11
00
01
10
00
10
10
00
10
10
10
00
01
00
01
10
00
00
11
10
00
01
11
11
01
10
10
10
01
01
01
11
00
00
10
00
00
00
10
11
00
11
00
11
01
00
11
01
10
10
00
00
10
10
10
00
00
11
10
00
00
00
10
10
11
00
00
10
10
01
00
00
10
01
10
00
00
11
10
00
00
10
11
01
11
01
00
00
00
10
01
00
10
10
11
00
10
01
00
11
11
11
10
00
00
01
10
10
10
01
10
00
01
00
01
00
11
10
01
10
11
00
00
10
10
11
00
00
10
10
01
00
00
11
10
01
00
11
01
10
00
01
00
10
11
00
00
00
11
10
00
00
10
10
00
00
10
00
00
10
01
11
00
10
00
00
00
00
00
11
11
10
00
10
10
00
11
11
10
11
00
10
01
10
00
00
00
10
01
00
01
11
10
10
10
00
01
00
11
00
11
00
00
11
11
11
00
00
01
11
00
10
01
10
00
10
11
01
00
10
10
10
00
00
01
00
11
11
00
01
00
10
00
10
10
10
00
00
00
11
00
10
10
10
01
11
00
10
01
11
01
00
10
10
10
10
00
00
00
00
10
10
10
10
11
10
00
10
00
10
00
00
11
10
01
11
11
00
00
01
10
10
01
00
10
00
10
10
10
11
10
11
00
00
10
00
00
10
10
00
11
00
01
00
00
10
10
10
01
10
00
00
10
11
00
10
10
01
01
01
10
10
10
10
01
00
10
10
10
00
01
10
10
10
01
00
11
00
11
11
10
10
00
10
01
00
10
10
00
00
01
11
10
01
00
11
10
11
00
00
10
10
00
01
10
11
01
10
00
10
10
01
11
10
11
00
01
10
10
00
11
01
00
10
01
11
10
00
01
00
10
10
10
10
00
01
10
10
00
00
10
01
11
10
11
01
11
10
01
00
00
10
10
11
00
00
11
00
11
00
00
10
10
10
00
00
10
10
01
00
10
10
10
10
00
00
10
11
00
10
10
01
11
10
01
01
00
10
10
00
00
11
10
10
10
00
01
00
10
00
11
00
00
01
11
10
10
11
11
01
00
00
01
11
10
11
10
01
10
11
11
01
01
00
01
10
00
10
11
10
10
00
00
10
00
00
00
11
10
10
10
10
00
01
10
10
00
00
01
10
10
00
00
01
00
11
00
11
00
11
10
10
00
00
11
00
10
10
10
00
10
00
00
00
00
01
11
10
00
01
01
10
00
01
00
11
00
10
00
11
11
11
00
01
10
00
10
10
00
01
10
10
01
00
10
10
11
11
00
11
00
11
00
00
01
01
11
10
11
10
10
00
10
10
11
01
00
00
00
01
00
10
00
01
10
10
11
00
00
10
11
11
01
10
00
10
00
00
10
00
11
10
00
10
01
00
10
11
10
10
10
00
01
01
10
00
01
10
01
01
10
10
00
00
10
01
11
10
01
01
00
11
10
01
01
01
10
01
00
11
00
00
00
11
10
10
11
11
01
00
01
00
11
01
10
10
01
00
10
10
10
00
10
10
00
10
10
10
11
01
00
11
00
11
00
00
00
00
10
10
10
01
11
10
01
10
10
01
01
00
11
10
01
01
10
00
10
00
00
01
10
00
11
00
11
00
10
00
10
00
10
11
10
01
00
00
00
10
01
00
11
10
00
00
10
11
11
10
10
00
10
00
01
01
00
10
00
00
00
11
10
10
10
10
00
10
11
00
00
10
11
11
11
00
00
01
00
11
01
00
00
10
10
00
11
11
00
00
11
01
10
01
00
00
11
11
00
10
01
10
00
01
10
11
01
00
11
00
01
11
11
00
10
00
01
10
10
10
00
10
11
00
00
11
10
00
00
10
11
10
01
10
11
00
11
10
01
01
00
11
11
10
00
00
10
10
00
10
10
11
10
00
00
11
00
10
11
01
10
00
00
01
10
11
00
11
11
10
10
10
00
00
10
10
10
00
01
00
00
00
10
11
00
10
11
01
00
10
00
00
10
11
00
11
11
01
00
10
11
00
00
10
10
00
01
10
00
00
10
00
00
10
10
00
00
11
10
10
00
10
10
00
00
10
10
00
10
10
00
11
00
00
10
00
10
11
01
00
11
00
01
10
10
10
10
00
10
11
01
00
10
00
00
10
10
10
00
01
10
10
10
00
11
10
11
00
10
10
01
10
10
10
00
11
10
00
10
00
01
01
11
10
01
01
00
11
10
10
00
00
00
01
00
10
00
00
00
10
10
00
00
00
00
11
10
10
00
10
01
00
01
11
10
01
10
00
00
10
10
00
00
10
10
01
00
00
11
00
00
00
00
10
10
10
10
00
01
01
01
01
11
10
10
00
00
01
00
10
10
00
00
01
11
11
11
00
10
00
11
00
00
10
10
01
00
00
10
10
00
11
00
00
00
01
10
11
00
11
01
01
11
00
10
11
01
01
10
11
10
00
11
01
00
00
00
11
01
10
10
00
00
00
01
11
00
11
00
00
00
00
10
00
00
10
11
11
10
10
00
11
00
01
01
11
00
00
10
00
00
11
10
00
11
10
10
10
01
00
01
10
10
00
01
00
01
11
10
10
11
10
00
10
10
01
00
11
10
10
00
00
00
11
11
01
00
00
11
10
10
00
00
11
10
10
00
00
00
01
11
10
11
10
00
10
00
01
10
10
01
10
11
01
10
01
01
11
00
10
10
11
10
00
10
11
01
11
00
10
00
10
10
10
11
00
10
11
01
10
10
01
10
01
01
00
10
10
10
10
11
00
01
00
00
00
00
00
00
10
11
11
11
00
10
00
10
11
01
00
10
11
00
00
01
11
11
10
11
00
11
00
11
10
00
01
10
10
00
10
11
00
00
10
10
00
00
00
10
00
00
10
10
00
00
10
01
10
10
11
01
00
11
10
00
01
00
01
10
00
00
10
00
00
10
11
11
11
01
10
10
10
00
10
11
00
11
10
10
10
00
11
00
00
10
10
11
11
00
10
11
11
01
10
00
00
00
11
10
10
10
00
00
11
10
00
10
00
00
10
10
11
10
01
10
10
01
10
11
10
11
00
00
00
10
01
00
10
10
01
01
01
00
11
11
00
00
10
00
00
00
10
10
00
00
00
01
10
00
00
10
01
01
11
01
01
11
00
11
11
00
00
11
10
00
01
11
10
00
10
10
01
00
10
11
10
01
00
01
00
10
10
10
00
01
10
00
00
10
01
01
01
11
10
00
10
10
00
10
10
00
00
11
11
00
10
00
00
00
01
00
00
11
10
10
00
00
00
10
00
00
10
10
01
10
10
11
00
11
10
11
01
00
00
00
10
10
11
01
11
10
10
00
10
11
00
11
10
00
00
11
00
10
10
00
01
00
10
11
11
00
11
10
01
01
10
01
10
10
01
00
10
01
00
00
10
01
01
00
11
10
11
01
10
10
00
00
11
10
00
00
11
10
11
10
10
10
10
00
00
00
11
10
00
00
00
11
01
10
01
00
10
01
11
10
01
00
10
01
01
10
01
01
00
10
10
10
10
00
10
00
00
10
11
11
00
01
00
11
00
01
10
00
10
10
10
10
11
00
00
10
11
10
00
01
11
00
10
11
11
00
11
00
00
10
10
10
10
10
00
11
10
00
11
00
11
11
00
10
10
10
11
10
01
10
11
10
10
10
10
00
00
00
00
11
00
01
00
10
11
11
01
00
11
10
11
10
10
01
00
10
11
00
00
01
00
11
10
01
10
10
10
11
01
00
10
01
11
01
11
10
01
00
00
11
00
00
10
10
10
11
00
00
11
10
10
00
01
10
10
00
10
00
00
01
01
00
10
00
00
00
10
00
10
10
01
10
11
01
00
00
11
10
10
01
00
10
10
00
00
01
10
11
10
01
00
01
00
10
10
00
10
10
01
00
01
10
10
10
00
01
10
10
01
10
11
10
10
00
00
00
00
00
10
11
00
00
11
10
10
01
01
00
10
10
00
10
01
10
11
10
00
10
00
00
10
10
00
00
11
00
01
11
10
01
00
01
11
10
01
01
10
01
10
11
10
00
00
00
00
10
10
10
11
00
01
10
11
01
01
01
10
10
01
00
10
11
00
01
10
10
11
10
00
01
01
10
10
00
10
00
11
10
00
10
10
00
10
10
00
11
01
11
01
01
00
00
10
01
00
11
10
00
01
01
00
10
10
00
10
10
01
01
00
10
10
10
11
11
01
01
10
11
00
10
10
00
01
10
11
10
00
00
00
11
10
01
00
11
00
10
01
10
00
01
11
01
00
11
00
00
10
10
00
10
10
10
01
00
00
10
00
11
01
11
11
11
00
01
10
11
00
01
00
10
00
00
00
10
01
00
01
11
10
10
10
01
00
01
10
00
10
10
00
00
00
01
00
10
10
01
10
00
01
11
01
01
00
10
01
01
10
01
01
10
10
00
00
10
00
10
10
00
00
10
11
00
10
11
10
11
01
10
10
00
00
11
01
00
10
10
01
11
10
00
10
10
11
10
00
10
01
11
11
10
10
10
01
11
10
00
10
10
01
10
11
00
10
10
10
10
00
00
10
00
01
00
00
01
00
10
01
10
00
00
10
11
01
11
11
00
10
01
00
01
11
10
00
01
10
10
00
10
00
10
10
00
01
00
11
00
10
11
10
01
01
01
00
11
11
10
10
00
01
10
11
01
00
11
11
10
11
00
01
10
10
00
00
10
10
00
01
00
10
10
10
11
11
00
00
00
10
10
01
10
01
10
10
00
01
11
11
11
00
10
10
11
11
00
00
10
11
10
00
01
10
00
10
00
00
11
10
00
00
10
00
01
00
11
10
11
11
00
00
10
10
00
10
10
01
10
01
00
00
10
01
00
10
10
00
00
00
10
00
01
01
01
00
01
00
11
00
01
10
10
10
00
00
11
10
00
00
10
11
00
00
10
10
10
01
00
11
00
10
10
01
01
11
00
00
10
10
01
10
11
01
10
11
00
10
10
10
00
00
01
10
00
00
00
01
11
00
00
10
00
01
10
10
00
00
10
00
00
00
10
11
01
10
11
11
10
10
00
11
10
00
00
00
10
10
10
10
01
00
10
01
00
11
00
00
00
10
11
10
10
00
00
11
00
00
10
01
00
01
10
00
10
11
00
10
00
00
01
00
10
10
00
00
10
10
10
00
01
10
11
11
11
01
11
00
01
00
11
10
00
00
10
11
00
00
10
11
00
00
00
01
10
10
01
10
10
00
11
10
00
00
10
00
00
00
01
10
11
10
10
01
10
11
00
00
11
00
00
00
00
10
11
10
00
01
10
00
10
11
10
01
10
10
00
10
01
00
10
10
01
10
00
10
11
11
00
00
10
01
10
01
00
10
01
11
00
00
10
10
10
00
00
00
01
00
00
10
10
11
10
11
11
00
11
00
00
10
10
01
01
11
11
00
00
00
10
01
00
00
10
10
01
10
00
00
11
01
01
10
00
01
00
11
01
10
10
10
10
01
10
10
10
00
00
10
10
00
10
11
01
10
10
01
10
10
10
10
10
00
00
00
00
10
00
00
10
11
01
00
11
10
00
11
00
01
10
01
00
01
01
11
10
00
00
11
10
01
10
00
01
11
01
01
11
10
00
10
00
11
00
00
10
11
10
01
00
10
10
11
00
01
10
00
01
10
01
10
11
00
11
00
00
10
10
10
00
10
00
01
00
00
10
11
10
00
00
01
10
10
10
10
11
00
00
10
10
01
10
10
01
00
10
11
00
00
10
01
00
00
00
01
00
00
10
11
11
00
00
11
10
11
11
00
00
00
10
00
11
10
00
01
10
10
10
00
01
10
00
00
11
10
10
11
00
00
11
01
10
10
01
11
10
00
11
00
01
10
10
10
00
10
10
00
10
11
00
10
11
10
11
10
01
10
11
01
01
10
10
11
10
11
01
01
10
00
01
11
10
00
10
01
00
10
00
00
11
00
10
11
10
00
10
11
10
11
01
00
11
11
00
00
11
10
10
00
00
00
01
11
10
01
00
01
10
00
01
11
10
01
10
11
10
10
10
11
10
01
01
00
00
11
00
10
00
01
10
00
01
00
00
10
10
01
00
00
11
10
01
00
10
11
01
01
01
10
01
11
01
01
10
00
00
00
10
11
10
10
11
10
10
11
10
00
01
00
11
00
00
10
10
01
00
11
11
10
10
10
00
00
11
11
01
10
10
00
10
01
10
10
11
00
01
00
11
10
00
00
01
00
01
00
11
10
01
00
10
00
11
11
00
11
00
01
10
10
01
10
10
00
00
10
01
00
10
00
10
01
10
10
00
00
01
00
10
11
00
10
00
01
10
00
11
10
01
10
01
00
11
00
00
10
10
10
00
01
00
00
00
00
10
00
10
10
01
01
10
10
01
00
01
00
00
10
11
01
01
10
11
00
00
01
10
10
00
11
11
01
10
00
10
01
00
00
00
00
10
11
10
00
10
10
01
00
10
11
00
10
00
00
11
00
10
10
10
10
10
11
11
00
10
10
10
01
00
10
01
00
10
00
00
10
01
00
00
00
00
00
10
10
00
00
00
01
10
11
10
10
10
10
00
00
00
10
11
10
00
00
11
10
11
10
10
11
10
01
00
10
01
10
10
00
01
00
10
00
01
10
00
10
00
10
10
11
11
01
10
10
00
00
10
10
00
00
11
00
00
00
01
01
10
11
00
10
10
10
11
00
00
01
00
10
10
00
00
00
10
11
01
10
11
10
00
00
10
10
10
00
00
11
10
01
01
01
01
11
11
01
00
10
11
11
01
01
11
10
00
10
11
11
00
00
01
01
00
01
11
11
11
01
10
11
00
00
00
10
11
01
00
00
00
01
00
10
10
10
01
00
11
00
01
00
00
10
00
00
11
10
01
00
10
01
00
00
10
01
10
10
01
11
01
10
01
01
10
10
00
10
10
11
00
10
01
01
11
00
10
10
01
01
10
00
01
10
01
11
10
00
00
00
11
01
01
10
11
10
01
00
10
11
01
11
10
11
00
10
01
00
10
10
00
00
00
10
00
10
10
10
10
11
10
10
00
10
10
10
10
00
10
11
11
01
00
10
11
00
01
10
10
01
00
10
10
11
00
00
01
00
10
01
01
10
01
11
00
00
10
11
00
00
00
11
00
01
10
01
10
11
10
00
00
11
11
01
01
10
01
00
10
00
00
00
10
10
01
11
10
10
10
00
10
00
01
00
01
00
10
10
10
00
10
00
00
11
10
00
11
10
00
00
00
10
10
10
11
00
00
10
11
00
01
10
01
10
11
01
10
01
01
00
10
10
00
01
10
11
10
10
00
11
01
10
11
00
10
01
00
11
00
11
10
10
10
00
00
11
10
00
11
01
00
10
10
11
11
00
00
10
11
10
00
00
10
11
00
11
00
00
00
11
10
11
01
00
00
00
11
00
10
00
00
00
00
10
10
10
00
10
00
11
11
01
00
10
10
10
10
10
00
01
10
01
11
00
10
11
11
11
00
01
00
00
11
11
01
10
01
01
01
10
00
10
10
01
00
00
00
10
00
10
10
11
10
11
00
00
10
11
00
00
11
11
00
10
00
00
11
00
00
11
00
01
11
10
00
01
00
11
10
00
00
11
10
10
00
00
00
01
10
10
10
11
00
10
10
10
10
00
00
10
01
00
11
10
00
10
10
10
00
01
10
00
00
10
00
00
11
10
00
00
00
00
00
10
10
00
00
10
10
01
01
11
10
01
01
00
10
10
11
00
10
10
01
11
00
01
01
11
00
01
00
00
11
10
10
01
00
11
01
11
00
00
01
01
00
11
11
00
00
00
10
00
10
10
10
00
11
00
10
11
00
00
00
00
01
10
11
11
01
00
00
11
10
00
00
00
00
00
11
11
00
00
10
10
10
00
01
10
10
00
11
10
11
01
10
01
00
00
10
10
00
00
11
10
01
01
01
01
00
01
10
00
00
00
11
10
00
00
11
11
01
00
10
00
00
00
01
10
10
10
01
00
10
10
10
01
11
10
00
01
01
11
01
10
10
00
01
10
00
00
10
00
11
01
10
00
01
10
11
01
00
11
10
00
10
10
00
10
11
00
00
00
00
11
00
10
10
00
10
11
10
11
11
10
11
11
00
00
10
00
00
11
11
10
01
00
11
00
10
11
00
00
01
00
10
00
01
11
10
00
00
10
11
10
11
01
11
00
11
11
00
10
00
01
11
00
00
10
10
10
01
00
11
00
00
10
10
01
01
01
00
11
00
10
00
10
00
00
00
10
00
00
00
10
10
00
11
00
00
10
10
00
10
00
00
10
01
00
11
00
10
01
10
10
10
10
00
01
01
00
10
01
10
10
00
00
10
00
10
10
01
10
00
11
01
00
11
00
01
00
10
10
10
00
01
10
00
10
00
00
01
01
11
10
10
11
00
01
00
10
10
00
00
00
01
10
01
11
01
01
10
11
00
10
10
10
00
01
10
10
11
10
10
00
00
01
10
11
00
10
10
11
10
01
01
10
01
11
10
00
10
11
11
01
10
10
00
01
11
10
00
00
10
10
11
01
11
10
10
11
11
00
00
10
00
01
10
11
01
00
10
01
10
10
00
00
01
10
10
11
11
00
00
10
00
10
11
10
11
00
10
11
01
10
10
00
01
10
10
01
10
01
00
10
00
10
10
10
00
00
00
00
00
00
00
01
10
10
00
10
10
00
10
01
00
00
10
00
10
11
01
00
11
11
10
10
00
00
00
01
10
10
10
00
00
10
10
10
10
00
11
01
10
10
00
00
10
01
00
00
00
00
00
01
10
00
11
00
10
00
10
10
00
01
10
01
01
11
00
00
10
10
00
10
00
00
01
01
10
00
11
01
00
00
00
10
01
01
10
01
10
10
00
00
01
11
10
01
00
10
00
10
10
10
00
01
10
10
00
00
10
11
10
11
10
01
01
10
00
00
10
10
00
10
00
00
10
11
10
11
11
00
01
00
11
00
01
10
10
00
00
00
11
10
00
10
10
11
11
00
11
10
00
00
01
10
01
10
01
11
00
11
11
11
00
10
10
00
00
00
10
00
00
10
10
01
00
00
00
00
00
00
10
11
00
01
00
01
10
10
00
00
10
10
10
00
00
00
10
01
11
01
10
00
00
10
10
10
10
00
00
10
00
10
00
00
10
10
10
10
11
00
00
10
10
00
00
00
10
00
01
10
10
00
10
00
10
00
10
11
00
10
11
00
00
10
00
10
00
10
11
00
10
10
11
00
00
10
11
11
11
10
01
10
11
10
00
00
00
01
10
00
00
01
01
01
00
01
10
10
11
00
01
11
11
00
11
10
10
11
01
00
10
01
01
01
10
10
10
00
11
01
01
10
01
00
00
10
11
00
10
00
00
00
10
00
10
11
11
10
00
00
00
10
01
11
10
00
01
10
01
01
00
00
00
11
10
00
00
00
00
11
00
00
01
10
01
00
00
10
01
00
11
01
01
10
00
10
11
10
00
00
10
11
00
00
11
00
01
10
10
00
00
10
11
00
00
10
00
01
01
10
10
11
01
00
11
01
00
10
01
11
10
11
00
00
10
01
01
11
00
00
00
00
10
10
10
01
00
00
10
10
00
11
01
01
11
01
01
00
00
01
10
10
00
00
00
10
11
10
00
00
00
00
10
00
10
10
10
10
10
11
10
01
11
10
01
10
11
00
00
01
10
11
00
10
11
00
11
10
10
00
00
11
01
00
00
01
00
00
00
00
11
10
00
11
10
11
00
00
00
10
11
10
10
00
01
00
10
00
10
01
01
10
11
00
00
00
10
11
01
01
10
01
00
00
10
00
11
01
00
11
11
00
11
01
00
11
01
00
11
01
01
10
10
11
01
10
01
11
10
01
00
10
10
10
01
10
00
00
01
01
10
11
01
00
10
11
11
10
01
11
01
00
11
01
00
01
11
10
00
01
00
11
00
00
11
00
10
00
10
11
10
11
01
10
00
10
10
10
10
00
11
00
01
00
10
00
01
00
11
00
10
10
01
11
01
00
10
00
01
11
00
00
00
10
10
00
01
10
10
00
00
00
00
01
11
10
00
11
10
10
00
10
01
00
10
00
00
11
11
11
00
10
11
00
01
00
11
00
00
11
00
00
00
10
10
00
00
10
00
01
00
00
00
00
10
00
01
10
11
10
00
00
00
00
11
10
10
10
11
01
10
00
00
00
11
10
00
01
10
10
11
11
10
00
00
11
01
00
10
00
11
10
00
01
00
10
10
10
00
01
11
11
11
11
01
10
00
00
10
10
01
00
10
11
11
11
10
01
00
10
01
00
10
10
10
00
10
11
01
01
10
00
01
00
10
01
00
11
10
10
10
10
00
11
11
00
00
10
00
01
11
10
00
10
10
10
11
00
01
10
11
00
00
10
01
10
10
00
01
01
10
11
00
10
10
01
10
10
00
00
10
10
11
11
10
11
00
00
01
00
10
10
10
11
10
10
10
00
01
10
00
11
00
01
00
11
00
10
00
11
11
00
01
11
11
10
10
10
00
11
11
01
00
00
10
10
11
10
01
00
10
00
11
00
00
10
01
11
00
00
10
10
00
01
00
00
11
01
10
00
01
01
10
00
01
00
10
11
10
10
00
11
10
00
00
11
01
00
11
00
00
00
00
10
10
00
00
10
01
10
11
10
00
10
00
00
11
00
00
10
00
00
00
11
00
00
00
00
10
00
10
10
10
01
01
10
00
00
01
11
10
00
11
10
10
10
11
10
00
10
10
00
00
01
00
11
00
11
01
00
01
00
00
00
00
10
11
11
01
10
10
00
11
11
10
10
11
10
10
00
00
00
00
10
11
00
01
10
10
11
10
00
01
00
10
10
00
11
10
00
00
10
01
00
11
10
00
10
11
10
10
00
10
00
01
10
11
00
11
10
00
01
00
11
10
01
00
11
11
10
00
00
01
10
10
00
00
10
00
10
11
00
10
10
00
10
10
11
01
10
11
00
10
00
00
00
00
11
10
01
00
10
00
10
00
00
10
11
00
10
10
10
10
01
10
00
00
00
00
10
10
00
00
00
00
00
00
10
10
10
10
00
00
00
11
11
00
10
00
10
00
00
10
10
00
10
00
00
11
10
01
00
00
01
01
01
00
10
11
00
00
00
11
11
11
00
00
10
10
00
00
10
10
00
01
00
01
10
00
11
00
10
10
00
00
01
00
10
10
01
00
00
00
10
10
00
10
10
11
01
00
10
00
00
10
00
01
11
01
00
00
10
10
00
10
10
00
00
00
10
11
00
10
00
11
11
00
00
00
00
10
00
11
00
11
11
00
00
00
10
01
00
11
10
11
00
00
10
10
10
00
00
00
00
10
11
10
10
10
11
10
00
00
10
11
00
10
00
11
00
00
11
10
01
10
10
10
01
10
01
10
10
00
11
00
10
10
00
11
10
11
10
10
01
10
10
10
00
10
01
01
10
00
00
10
10
01
10
11
01
11
10
11
10
00
01
11
01
10
01
00
01
11
00
11
10
10
00
00
01
01
00
10
10
10
11
01
11
11
00
01
00
11
00
10
10
00
11
10
10
00
11
00
01
00
10
10
10
00
01
01
10
00
11
10
00
10
01
10
10
00
10
10
00
01
00
11
10
01
11
00
10
10
11
10
00
01
10
10
01
00
10
00
10
10
00
11
01
00
01
00
10
11
00
10
01
10
10
01
10
11
00
01
00
00
00
01
00
11
10
00
10
00
00
01
10
11
01
00
10
10
11
10
00
01
00
11
00
00
00
11
00
10
11
00
11
00
01
10
11
10
11
00
00
10
10
10
11
01
01
01
10
11
10
10
00
00
11
10
10
01
00
00
00
11
00
10
10
11
11
01
01
00
10
01
00
10
00
00
11
10
01
01
10
00
00
00
11
10
10
00
01
10
11
11
10
10
01
00
11
00
01
10
01
10
11
11
01
01
11
11
01
00
10
11
00
01
10
10
00
11
10
00
01
01
10
01
01
10
00
00
11
00
00
10
11
11
00
00
10
11
00
00
00
11
00
00
11
00
11
01
10
10
11
11
00
11
10
01
10
10
01
00
00
00
10
11
10
00
00
00
01
00
10
10
10
10
00
11
10
00
01
11
10
11
11
11
00
01
10
11
00
00
00
00
10
00
10
00
11
11
00
11
10
00
00
10
10
01
00
10
10
01
00
10
01
00
10
11
00
00
10
10
10
10
10
11
00
10
01
00
10
10
00
00
10
01
01
10
10
11
10
11
10
01
10
11
00
00
10
10
11
00
00
00
00
01
01
11
11
10
00
10
10
00
10
10
01
00
11
11
01
01
00
01
01
10
10
10
00
00
00
10
00
11
10
10
10
10
10
01
00
00
01
00
00
00
01
11
10
01
10
01
10
10
00
01
00
10
00
01
00
10
00
11
10
01
00
10
11
00
10
11
10
00
00
00
10
11
10
00
10
10
10
00
00
11
11
10
00
00
00
00
10
11
10
01
00
00
10
11
00
00
00
00
00
11
10
11
00
00
00
11
01
00
10
10
10
11
00
10
00
10
10
00
01
00
10
10
01
11
10
11
01
00
10
10
10
10
00
00
10
00
00
01
11
10
00
10
11
11
00
00
00
10
01
00
10
10
00
10
11
00
00
10
10
10
11
01
01
01
01
11
10
01
00
11
11
11
00
00
00
10
10
00
10
10
00
01
10
00
00
11
00
10
10
10
10
00
10
00
00
11
00
10
10
11
00
01
00
10
11
11
00
10
01
10
11
10
00
00
10
10
01
10
10
10
00
00
10
11
11
00
11
00
10
00
10
10
00
00
11
11
01
11
10
00
10
11
00
10
11
01
11
11
01
00
00
00
11
00
00
11
10
11
01
00
00
10
00
00
01
00
00
10
10
10
10
11
01
01
01
00
11
10
00
01
00
10
10
00
00
00
00
00
00
10
10
00
11
11
11
10
11
11
11
01
00
00
10
00
10
10
00
01
11
10
11
01
01
11
11
10
10
00
11
10
00
00
11
11
00
11
11
10
00
10
10
11
00
01
11
10
11
01
10
11
10
11
01
00
10
10
01
00
10
10
00
10
01
00
00
10
11
00
11
11
11
00
01
11
11
10
00
00
10
01
00
00
00
10
10
00
01
00
00
10
00
10
00
00
10
10
11
00
00
00
10
10
00
00
00
10
11
00
00
00
00
01
11
01
00
10
10
11
00
10
10
01
00
00
00
10
00
10
00
00
00
11
10
10
01
00
10
00
01
01
10
00
00
01
10
11
01
11
00
10
11
10
00
00
11
00
10
00
00
10
00
00
10
10
10
01
00
10
10
01
00
11
00
00
00
00
00
01
11
11
11
11
01
10
11
10
01
00
01
11
10
00
10
10
10
10
00
00
00
10
10
00
00
10
00
01
10
10
11
01
11
00
10
11
00
01
11
00
11
10
01
10
00
01
10
00
00
00
10
00
00
10
00
00
00
11
10
00
00
00
10
10
11
10
00
01
10
00
00
00
00
11
11
11
10
11
00
11
00
01
10
10
10
00
10
10
10
00
01
11
00
01
00
10
10
10
11
01
01
10
01
11
10
00
01
11
10
01
01
11
10
00
11
00
10
10
10
00
10
10
10
01
01
00
10
10
01
00
00
00
00
10
00
00
11
00
10
10
01
00
10
00
11
00
10
00
11
00
10
00
00
10
01
00
11
01
00
00
11
11
10
01
01
10
10
01
01
01
11
11
10
11
11
01
01
00
11
10
00
01
00
11
00
00
10
10
11
10
01
01
01
10
10
00
10
00
01
01
11
11
00
01
10
11
01
10
10
00
00
10
10
00
01
11
00
01
11
01
10
10
00
11
10
00
00
10
11
00
01
11
11
00
01
00
11
11
10
00
00
00
11
11
01
10
00
01
10
00
10
00
10
00
01
10
11
10
01
10
00
10
10
01
00
00
11
00
11
00
10
00
10
10
01
01
11
10
00
10
10
00
01
01
10
00
10
00
01
00
11
10
00
10
10
00
00
10
00
11
10
11
01
00
11
11
01
00
10
11
00
01
10
11
00
00
11
00
10
11
01
01
10
10
10
10
00
00
00
11
10
10
10
00
11
11
00
00
10
10
00
10
01
00
10
00
01
10
11
10
11
00
10
00
00
00
00
10
10
01
01
01
00
00
00
11
10
01
10
11
00
10
00
01
10
00
10
10
00
11
10
00
10
10
00
00
10
00
01
10
11
00
10
11
11
00
00
00
11
11
00
10
11
01
10
00
00
10
10
00
10
00
01
10
10
11
00
00
11
10
00
00
10
10
00
01
10
10
00
00
00
00
10
10
00
01
10
00
00
00
00
11
10
00
10
11
10
01
10
11
00
00
00
10
01
01
00
00
10
01
11
01
01
00
11
10
10
11
10
00
01
01
11
00
00
00
11
10
11
00
01
11
10
10
00
10
10
10
01
10
10
10
01
00
10
10
10
01
01
01
00
00
00
01
00
00
10
11
01
11
10
00
10
01
00
10
01
01
00
00
11
01
10
10
01
10
10
10
01
11
00
00
00
01
00
01
11
10
11
10
00
01
10
11
00
10
10
01
10
11
10
00
10
10
00
01
00
01
11
10
10
00
00
01
10
11
10
00
00
10
00
01
00
11
10
00
10
10
10
10
11
00
11
11
10
01
10
10
10
01
00
01
11
00
01
10
00
10
10
10
01
00
10
00
01
11
10
01
00
00
10
00
00
10
00
00
10
11
10
01
00
10
10
01
11
10
10
00
00
10
11
10
01
11
00
11
00
10
10
00
00
11
10
00
11
00
10
00
11
11
10
00
01
10
11
00
01
00
10
00
11
00
01
10
10
10
00
01
01
10
11
00
01
10
10
00
00
11
00
01
10
01
10
10
00
00
11
10
11
00
00
00
00
00
00
11
11
10
00
00
10
11
11
01
00
00
01
11
10
00
10
10
10
00
00
10
10
00
00
10
11
00
00
00
10
10
10
10
11
10
10
00
10
00
10
00
00
11
00
00
10
00
10
10
10
10
10
11
10
00
00
01
01
00
01
11
11
00
00
11
00
01
11
01
00
00
00
10
10
01
10
10
00
01
01
00
00
10
00
01
00
11
10
10
00
00
01
01
10
10
00
10
10
10
00
10
11
00
00
00
00
11
10
10
00
10
00
11
10
10
01
00
10
10
00
10
00
00
01
01
10
10
10
01
11
11
11
00
01
10
00
10
10
10
10
10
00
11
00
00
01
11
00
10
10
00
00
11
10
00
10
11
00
10
11
00
11
00
10
10
11
10
01
01
10
01
00
01
10
11
01
00
11
11
01
10
01
01
10
01
00
10
00
11
10
10
11
01
10
10
01
11
00
00
00
11
00
00
00
00
10
10
10
01
00
10
11
10
11
01
10
10
10
00
00
00
00
10
10
00
00
10
00
11
11
10
11
00
10
10
00
10
01
00
11
10
00
10
01
10
11
10
01
10
11
10
00
01
00
00
10
00
01
10
00
10
10
00
10
10
01
00
01
00
01
11
01
01
10
10
00
11
10
11
00
10
11
10
00
00
00
10
10
00
00
10
11
10
01
10
11
10
11
10
01
00
00
10
11
10
00
01
11
11
11
00
11
10
00
00
10
10
01
10
10
01
10
10
00
00
10
11
00
10
10
00
01
10
00
10
10
10
00
10
00
01
11
10
10
00
00
10
01
00
10
01
00
11
00
01
01
11
01
00
10
11
00
00
10
10
10
10
10
00
10
11
00
10
00
10
00
00
11
11
10
11
10
00
00
01
11
10
00
00
00
10
10
10
01
00
11
10
00
01
11
00
00
10
10
11
11
10
11
10
10
01
00
01
10
11
00
01
00
10
00
10
10
00
10
10
00
00
10
10
00
00
10
10
00
01
11
10
11
01
10
11
01
00
00
00
10
10
10
01
00
10
00
01
10
10
11
11
01
01
01
00
10
00
00
10
01
11
11
00
01
10
00
01
00
10
10
00
00
00
10
10
11
00
01
10
01
10
00
00
00
10
11
10
00
10
10
00
11
10
01
11
01
00
00
10
00
00
10
00
00
10
01
10
00
00
10
01
00
11
10
01
00
11
00
01
11
10
10
11
01
01
11
11
10
11
00
10
11
00
01
11
01
01
00
01
10
10
00
00
10
11
00
10
00
01
00
11
00
00
00
01
00
10
00
00
10
00
10
11
10
01
01
10
00
10
00
10
11
00
10
11
10
10
10
10
00
00
10
00
10
10
00
00
00
10
00
10
00
10
10
10
01
00
11
00
10
00
00
10
11
10
00
00
11
01
10
10
01
00
10
10
00
00
00
10
00
10
10
01
10
00
11
10
01
10
00
01
01
10
10
00
01
00
11
10
00
10
01
00
11
00
00
10
10
10
10
01
00
00
11
10
11
10
00
10
00
10
00
00
11
10
00
01
10
11
00
00
10
10
01
10
11
00
10
10
00
00
00
01
11
11
10
10
01
00
00
10
10
00
11
10
01
01
11
11
00
00
10
00
00
00
01
10
10
01
01
01
10
10
10
10
11
01
00
00
10
11
11
11
11
00
00
10
00
10
10
00
01
00
01
10
10
01
10
11
10
10
01
00
11
10
11
10
10
11
10
11
00
00
11
01
10
00
01
10
01
00
11
10
00
00
10
11
01
00
01
00
01
01
10
01
10
01
11
10
00
00
01
10
00
10
11
00
10
01
11
11
00
01
10
10
00
00
00
11
00
11
00
00
00
00
10
10
10
01
10
10
10
00
10
10
00
10
10
10
01
00
10
00
00
00
11
11
00
00
11
00
01
11
11
11
11
00
10
10
01
10
10
00
00
11
11
10
10
00
10
01
10
01
00
01
00
10
10
11
10
10
10
00
00
11
10
01
00
00
10
00
10
11
00
00
11
00
11
00
01
11
10
11
00
11
11
10
00
01
00
10
01
01
11
10
11
10
00
00
00
00
10
00
01
11
00
00
10
11
10
11
10
01
11
10
00
00
00
10
00
01
10
01
00
10
10
00
00
10
10
01
00
10
10
01
10
10
01
11
00
00
01
10
11
00
00
10
00
10
10
00
00
00
11
10
10
01
00
01
00
10
10
10
00
11
10
11
11
01
00
10
01
00
01
01
10
10
10
00
11
01
10
11
00
10
10
10
10
00
10
00
11
10
10
00
01
01
11
10
01
11
01
00
11
01
00
00
10
10
00
10
11
00
10
11
11
01
10
10
00
00
01
01
11
10
00
00
00
00
00
11
10
01
00
11
11
00
00
10
10
00
00
01
11
10
01
11
00
01
11
10
00
00
10
00
00
11
10
01
01
10
11
00
11
00
01
10
10
00
00
00
10
11
00
11
00
10
10
00
10
11
00
01
00
11
10
01
00
10
10
00
01
10
01
00
01
00
11
10
10
10
00
10
10
10
01
00
10
11
10
11
01
00
00
00
00
10
00
00
00
10
11
10
11
00
00
00
10
10
00
01
10
11
11
11
00
00
01
10
10
01
00
10
00
00
01
00
00
10
11
10
10
11
10
01
00
10
10
11
00
11
10
01
01
10
01
01
01
10
01
10
00
10
10
01
10
11
00
00
00
00
00
11
10
01
10
01
11
10
10
11
10
01
00
10
11
00
10
10
00
10
11
00
01
00
01
00
10
10
10
01
00
00
11
11
00
10
11
10
00
10
01
00
10
00
00
10
00
10
10
10
00
10
10
00
10
11
10
10
10
01
11
10
10
00
00
11
00
10
00
10
10
10
11
00
10
10
00
10
10
10
00
00
10
01
10
11
01
11
00
10
10
11
01
01
11
10
11
00
11
10
00
01
11
10
00
10
10
10
00
00
10
11
00
00
00
00
00
10
00
01
00
10
10
01
00
10
01
11
00
00
00
00
00
11
11
10
10
01
10
10
00
10
10
10
00
10
00
11
11
00
11
00
10
01
00
10
10
00
01
10
00
00
01
10
11
01
01
00
10
10
00
10
10
01
01
10
11
00
10
00
11
10
10
00
00
00
00
01
10
10
00
10
00
01
11
10
01
01
10
10
01
00
00
11
11
00
11
10
00
00
01
10
00
00
10
11
00
01
10
00
01
10
10
00
11
10
10
01
00
10
10
11
00
10
00
10
00
01
11
11
00
10
00
00
00
01
10
10
00
10
10
00
01
10
01
00
11
10
01
00
11
11
00
10
01
11
00
10
11
00
00
01
11
10
00
01
10
00
00
00
00
01
01
11
00
11
01
01
10
10
10
00
11
10
00
00
00
01
00
10
11
01
11
01
11
10
00
00
00
00
10
10
00
10
10
11
00
00
00
00
01
11
10
00
00
00
00
00
10
10
01
10
10
01
11
11
00
01
00
11
01
00
11
10
00
00
10
11
10
01
00
10
01
01
00
01
00
11
00
10
00
01
11
10
00
00
10
10
10
01
10
11
01
10
00
10
00
10
11
00
01
00
10
10
11
10
00
11
11
00
00
00
00
10
01
11
01
00
11
00
10
01
10
11
00
10
11
01
10
00
00
01
10
10
00
00
11
10
01
00
11
00
01
10
11
00
00
01
10
10
00
10
11
10
10
00
01
00
10
01
10
10
01
00
10
10
00
01
10
01
01
10
10
00
10
10
10
00
00
10
11
10
11
01
10
11
00
11
00
11
11
10
10
00
11
10
00
00
10
00
11
01
00
01
00
10
11
11
11
00
01
01
10
10
10
11
10
11
01
00
10
00
10
11
11
00
11
00
00
00
11
01
00
10
10
10
11
00
00
00
11
11
11
10
00
01
10
10
10
10
00
11
10
01
10
00
00
01
01
00
01
10
00
00
11
10
00
00
11
10
00
00
00
00
00
10
10
11
11
00
01
10
01
11
01
10
10
01
01
10
11
11
01
10
00
00
00
00
10
10
00
00
00
10
10
10
10
00
10
11
01
01
10
10
00
00
11
10
10
00
10
00
00
11
10
10
10
00
00
00
00
10
10
01
00
00
10
01
01
00
00
10
11
01
10
11
01
00
00
00
10
10
10
00
01
11
11
10
11
01
10
11
10
10
00
01
11
01
00
00
00
00
01
10
10
00
10
10
00
11
10
11
11
10
10
11
00
01
10
00
01
10
10
10
10
00
00
10
10
01
00
10
10
00
01
11
11
00
10
00
10
00
00
11
10
00
00
10
00
11
00
11
00
10
00
00
00
01
10
10
00
10
01
11
00
01
11
00
01
01
11
10
10
00
11
00
01
11
10
01
11
10
01
10
00
11
10
10
00
00
11
11
01
00
01
00
11
10
00
00
10
11
00
10
00
00
10
01
11
10
01
00
10
01
10
10
00
11
11
10
01
11
00
10
01
10
11
11
01
01
10
10
00
10
10
00
00
10
10
10
10
10
01
10
11
01
00
00
01
01
10
00
00
00
10
10
10
10
10
10
11
00
11
01
00
11
10
01
01
11
11
00
00
10
00
00
10
11
00
10
11
00
11
00
00
00
00
11
11
00
00
00
11
10
00
10
00
00
00
10
01
01
11
10
10
10
10
00
10
00
00
11
10
10
01
10
11
10
00
10
00
00
10
11
01
11
10
00
10
10
00
00
10
10
10
00
00
00
01
11
00
11
11
01
00
11
10
10
11
01
01
10
00
10
10
00
01
10
10
11
00
01
11
11
11
11
10
10
00
00
10
01
00
10
10
01
01
00
01
10
10
10
10
00
10
11
00
10
10
10
11
00
10
00
00
01
10
10
10
10
10
00
00
10
10
10
10
01
00
00
11
11
00
10
10
01
10
10
00
10
10
10
00
01
00
00
00
10
10
00
11
01
00
10
01
11
10
00
11
00
00
10
00
10
00
01
10
00
00
00
10
10
00
10
01
11
10
10
10
00
10
01
00
00
00
11
10
11
11
11
00
01
01
10
10
00
10
10
11
00
00
01
01
10
00
01
11
10
10
10
10
00
10
10
01
00
00
00
00
10
11
11
00
11
01
10
10
10
01
11
10
00
10
10
10
00
11
01
00
01
11
00
10
10
11
10
01
00
00
11
00
10
10
11
00
00
11
10
11
00
11
10
00
10
10
11
10
01
01
10
11
01
11
11
11
00
10
11
01
11
10
10
00
00
10
01
01
10
11
01
10
10
00
11
11
10
00
00
10
10
10
10
11
00
00
00
00
00
10
00
11
10
10
01
10
10
10
01
00
01
10
11
01
00
00
10
10
00
00
10
01
01
11
00
00
00
01
00
01
10
11
11
11
00
10
00
00
00
00
10
10
11
00
10
11
11
01
00
00
01
10
10
10
10
00
10
10
00
10
11
00
11
01
10
00
00
01
11
01
00
11
10
00
11
11
00
00
00
10
11
10
11
01
00
00
00
00
10
11
00
10
10
00
10
00
10
01
01
10
10
11
10
00
00
00
00
00
01
00
10
11
01
00
10
10
10
11
10
01
01
10
01
00
11
11
10
01
11
10
01
01
10
01
10
01
10
10
00
11
00
01
00
10
11
10
01
10
00
00
00
00
10
11
00
10
10
11
00
01
11
00
01
00
10
10
00
11
10
10
11
00
10
00
00
10
10
00
10
01
01
01
00
00
10
10
10
00
00
10
10
00
01
10
10
00
01
00
10
10
10
01
00
10
01
10
10
01
10
00
11
00
10
00
01
11
11
00
10
00
10
11
00
00
10
10
00
00
10
11
10
11
10
00
11
10
01
10
00
00
00
10
00
10
11
11
11
00
11
11
00
11
00
10
11
10
00
01
10
00
10
00
00
00
01
11
00
01
10
11
00
10
11
01
01
10
11
01
00
11
00
00
11
00
00
00
10
11
10
00
10
10
00
01
00
11
00
01
10
00
11
10
00
00
11
10
00
00
00
10
01
10
00
00
11
10
10
01
00
00
00
01
10
01
00
11
01
01
00
11
11
00
11
10
01
00
10
10
00
00
10
11
01
01
11
10
00
01
10
00
11
00
00
10
11
11
01
00
11
00
00
00
00
10
11
00
10
00
00
10
01
00
00
00
11
10
10
00
10
10
00
01
10
10
00
00
11
00
11
00
11
10
00
00
01
10
10
00
01
10
01
10
11
01
00
00
10
10
00
10
10
11
00
01
10
00
01
01
00
10
10
00
00
11
10
01
11
10
00
01
00
10
10
00
01
00
10
10
00
00
01
10
11
10
01
10
10
01
00
10
10
11
10
01
00
11
01
00
11
00
00
10
00
01
00
00
10
00
01
00
10
10
10
11
11
01
00
10
01
00
11
10
10
00
00
00
00
00
10
10
00
11
00
10
00
00
00
00
00
00
10
00
10
10
00
01
10
11
10
00
01
10
10
00
01
10
10
01
11
11
00
00
00
10
01
00
10
11
00
00
10
11
10
00
01
10
00
10
00
11
00
11
00
00
11
10
00
11
00
00
10
00
10
10
01
00
10
00
01
00
10
11
01
11
00
11
11
01
10
00
00
11
11
00
00
10
11
00
00
11
00
00
01
11
10
10
10
00
10
00
01
00
10
11
10
10
00
10
00
00
01
10
10
11
01
01
10
00
00
00
11
00
00
10
00
00
01
00
10
00
10
00
01
10
11
10
11
00
00
10
00
11
00
01
10
10
11
00
00
00
01
10
00
10
00
01
10
10
01
11
00
01
00
10
10
10
10
01
01
10
00
00
10
11
00
00
11
11
01
00
11
10
11
01
01
01
10
11
11
00
01
11
11
00
11
10
01
00
10
11
10
00
01
01
00
10
01
01
11
00
10
10
01
00
10
10
01
00
11
10
01
11
11
11
11
00
00
10
00
00
11
11
00
01
10
11
00
11
10
11
01
00
00
00
10
00
00
01
10
00
01
10
00
10
10
00
00
00
10
01
00
10
10
10
00
01
11
01
00
11
10
00
00
11
11
01
01
11
11
00
10
11
01
01
00
00
11
00
00
10
10
00
01
10
10
10
00
00
10
01
00
00
11
01
10
00
10
10
10
01
00
00
10
10
00
00
01
11
10
00
10
11
01
00
01
11
00
01
01
11
00
00
10
11
01
10
10
00
00
10
10
01
01
10
11
10
00
10
10
01
11
10
00
01
10
10
01
10
10
00
00
01
10
00
10
01
10
01
10
11
10
00
00
10
10
00
10
11
11
11
00
10
01
01
01
00
01
10
10
00
11
11
00
11
10
11
10
00
00
10
01
00
10
10
10
00
11
00
01
01
11
10
00
10
10
10
00
00
10
00
01
01
10
00
01
01
10
10
10
10
00
00
11
00
00
10
10
00
11
00
01
00
11
10
10
10
00
00
10
11
01
10
10
00
10
11
11
01
00
10
00
10
00
00
11
10
10
01
10
10
10
01
11
01
10
10
10
10
01
01
10
10
11
11
00
10
00
11
00
00
00
10
00
10
10
10
01
00
10
00
10
11
00
00
00
01
10
10
11
10
11
00
00
10
11
01
00
10
10
00
00
10
10
10
10
00
00
10
10
00
00
00
11
11
10
00
11
01
00
01
10
10
01
00
00
01
10
10
10
10
10
00
10
10
00
00
00
00
10
11
01
01
11
00
00
01
00
00
11
10
00
01
00
00
00
10
10
11
01
00
10
11
00
00
00
11
00
10
10
00
00
10
11
00
10
11
10
10
01
10
00
00
01
01
10
10
11
10
10
11
00
01
00
01
10
00
01
10
01
00
10
10
11
11
11
11
00
00
01
00
00
00
10
11
01
01
11
10
00
11
10
01
10
10
01
11
11
11
01
01
10
11
00
01
00
10
10
10
11
00
00
10
01
10
00
11
00
00
00
10
10
10
01
00
00
11
00
10
10
11
00
01
10
10
10
10
01
00
01
10
10
10
11
10
10
00
00
00
00
10
11
00
10
10
10
00
10
10
01
11
10
00
10
10
01
11
00
00
00
01
10
00
10
10
00
00
00
10
10
00
00
10
10
00
01
00
10
01
00
01
00
11
10
10
00
11
10
01
01
10
00
01
01
00
00
11
10
00
00
10
11
01
01
01
10
00
10
11
10
10
11
00
00
10
11
00
01
10
11
10
01
00
01
10
10
10
00
00
11
10
10
10
00
01
00
11
10
10
00
10
10
00
10
10
01
10
11
11
10
00
11
10
10
01
00
00
11
10
10
11
00
00
01
01
01
11
10
11
10
11
11
00
01
10
00
01
01
10
00
10
10
00
01
00
11
10
00
11
01
10
10
00
10
11
11
01
00
10
10
00
10
10
00
00
00
10
00
00
00
10
01
10
11
00
11
10
10
11
01
11
11
01
00
01
00
11
00
11
11
01
00
11
10
00
00
11
00
01
00
10
01
11
11
10
10
00
00
00
11
00
00
10
11
10
01
10
01
00
11
10
10
00
00
10
10
11
01
00
11
00
11
10
10
00
00
10
10
00
11
10
10
00
01
10
00
10
00
10
01
00
10
11
00
00
10
00
11
11
01
10
01
01
10
01
11
10
00
10
01
10
00
00
10
00
01
00
11
01
00
00
10
10
00
01
10
10
11
01
00
10
00
00
00
00
10
10
10
00
10
11
01
10
01
01
11
11
00
00
00
10
11
10
01
01
01
00
11
01
10
01
00
10
01
00
10
01
00
11
00
00
10
00
01
10
01
00
10
10
11
11
00
10
11
10
01
00
11
00
11
01
11
10
00
10
10
01
00
10
00
11
10
00
00
10
00
00
00
00
10
10
10
11
00
10
00
10
00
00
00
11
10
10
10
10
10
00
01
00
00
10
00
00
00
11
00
00
00
10
10
01
00
10
10
00
10
10
11
10
10
01
00
01
10
10
10
10
11
10
00
01
00
10
10
10
10
01
01
00
00
10
00
10
00
10
10
10
01
10
10
01
00
01
00
00
11
00
10
00
01
10
11
01
00
00
01
10
11
00
10
10
00
01
00
00
11
10
00
10
11
00
01
10
10
01
01
01
00
11
10
00
10
11
00
10
10
00
10
10
11
00
10
10
00
00
01
11
10
10
00
01
00
10
00
00
10
11
10
10
00
01
00
00
00
00
10
10
10
01
01
01
11
00
00
11
01
00
11
01
00
00
10
11
10
10
00
00
10
01
10
11
00
11
10
11
00
01
00
00
00
10
10
00
10
01
01
10
00
00
00
01
10
11
10
11
10
01
00
00
00
10
01
10
01
00
10
00
00
01
10
10
00
10
11
11
00
00
10
11
00
00
10
11
00
11
00
00
00
00
10
00
11
10
10
00
10
00
10
10
11
10
11
01
10
01
10
00
01
11
11
11
00
00
10
10
00
00
10
11
00
01
00
10
00
00
00
01
11
00
10
00
10
00
00
11
01
10
10
00
10
10
11
00
10
11
00
11
10
10
00
11
10
00
10
11
10
01
10
10
11
00
10
01
01
10
00
01
10
10
01
11
10
11
01
10
10
10
00
00
00
00
10
10
01
10
01
00
01
01
00
10
11
11
00
00
10
00
01
11
00
01
11
00
10
10
10
00
00
10
01
11
10
10
00
01
11
01
10
00
00
00
01
00
00
10
10
11
00
10
11
10
11
10
00
01
01
11
00
10
10
01
01
00
11
10
00
01
10
11
00
10
00
10
10
10
01
01
10
00
00
10
11
11
00
10
10
10
11
00
01
01
11
11
10
00
10
00
00
00
10
10
00
00
00
01
00
00
11
01
01
11
11
00
11
00
00
11
11
11
00
10
01
00
00
10
00
00
10
01
10
11
00
10
00
00
00
10
00
00
11
01
01
10
00
10
10
11
10
01
00
11
00
00
00
01
00
10
00
10
01
10
00
01
01
11
00
11
11
10
01
10
10
00
10
10
10
10
00
11
00
11
01
01
11
01
11
01
00
10
00
00
11
00
11
10
00
01
10
01
00
11
11
10
10
01
10
11
00
01
10
10
00
01
10
10
00
00
01
11
11
00
00
01
00
00
10
11
00
00
11
01
10
11
11
00
10
00
11
00
00
11
01
11
10
01
00
10
01
11
10
00
10
00
00
11
10
00
11
11
01
10
11
11
10
10
01
00
10
00
00
10
10
10
01
10
11
01
00
00
01
00
01
11
10
00
01
10
11
01
00
10
10
10
00
01
11
10
10
00
00
11
00
00
10
10
00
11
11
10
10
10
10
00
11
10
00
01
00
10
10
11
01
00
10
10
10
01
10
11
10
01
10
00
00
10
00
01
00
10
10
01
00
00
11
10
00
00
01
11
00
10
00
10
10
00
10
10
10
00
00
01
00
10
10
00
01
00
10
00
10
10
10
00
00
10
00
10
00
00
00
00
11
00
10
11
00
11
10
00
01
00
10
10
10
10
10
10
01
10
01
01
11
10
01
10
00
00
11
00
00
10
10
10
10
10
10
10
00
00
00
10
01
11
11
11
10
10
11
01
10
10
00
00
00
00
01
00
10
10
01
00
10
10
00
00
10
10
10
10
10
00
01
10
11
10
10
00
00
00
10
10
00
00
00
00
10
10
01
11
00
11
10
11
01
11
11
10
01
00
10
11
00
00
11
01
00
00
00
10
00
10
11
00
00
00
11
01
11
11
10
11
10
00
10
11
01
10
01
00
10
11
10
10
00
10
11
00
10
10
00
10
10
01
11
01
00
01
00
10
00
00
11
10
00
01
00
10
10
01
00
11
10
00
01
10
00
00
10
10
00
00
01
00
01
00
01
10
00
10
11
10
00
10
11
11
10
00
00
01
00
01
01
00
10
00
00
10
00
00
00
00
10
01
00
01
00
10
00
00
10
10
11
10
11
11
00
00
10
10
00
10
10
00
11
01
00
11
11
10
11
00
10
10
00
00
01
01
10
01
00
10
10
01
01
00
01
11
11
01
10
00
00
10
11
11
11
01
00
10
11
10
00
00
00
11
00
00
00
01
00
10
10
00
10
01
00
11
00
00
11
01
11
10
10
10
00
00
01
11
10
01
00
10
10
10
01
01
10
11
10
10
11
10
00
10
10
00
10
10
00
01
10
01
10
11
01
01
11
00
01
00
10
10
01
01
01
11
11
11
10
00
10
10
10
10
10
00
00
01
01
00
10
01
10
01
00
10
11
01
00
01
00
11
10
00
01
11
10
00
10
01
00
11
11
11
00
00
00
01
10
01
00
10
11
01
00
11
00
00
10
00
00
11
10
01
00
10
10
10
00
10
00
01
00
00
10
00
00
01
10
10
00
10
10
00
00
10
00
00
00
10
10
00
10
00
11
10
10
00
00
01
10
00
01
10
01
00
01
10
00
00
10
01
01
10
01
01
10
11
10
10
10
01
10
11
01
01
00
01
10
00
10
10
00
01
11
10
01
00
01
10
00
00
00
10
11
10
01
10
10
10
00
10
10
10
01
11
10
00
10
00
10
11
10
00
00
10
00
01
10
00
00
11
10
01
00
10
01
11
01
00
01
10
11
00
10
00
00
00
00
00
11
11
10
11
10
01
01
10
11
00
11
00
10
11
10
01
00
10
10
00
10
00
00
10
00
11
10
11
00
11
11
01
01
10
00
00
00
00
10
10
00
10
10
11
01
11
10
10
00
00
11
10
00
10
10
10
01
01
10
00
00
00
10
01
11
00
10
00
10
00
00
01
10
10
00
10
10
00
10
10
10
10
11
00
10
01
11
01
00
00
00
11
10
01
00
10
11
00
10
00
10
10
01
10
11
00
01
11
01
01
00
11
10
01
00
01
10
10
10
00
00
00
00
10
00
10
11
10
00
10
10
11
01
11
11
01
00
10
10
01
10
00
01
10
00
00
01
10
00
00
11
10
01
00
11
01
01
10
10
01
01
00
00
00
10
00
00
10
10
00
10
00
11
10
00
00
10
10
10
01
01
11
00
10
01
00
11
00
10
00
00
10
11
10
10
10
00
10
10
10
00
00
11
10
10
01
10
10
10
01
00
11
01
01
10
00
01
10
01
00
01
10
11
01
00
10
11
00
11
01
01
10
10
10
01
10
10
01
00
11
10
00
11
00
10
10
01
00
10
00
01
00
01
10
10
10
01
10
11
11
00
00
10
10
10
00
00
10
10
10
11
10
11
10
10
00
11
10
01
00
10
10
01
00
00
10
10
01
10
00
00
00
00
11
10
10
00
10
11
10
01
01
00
10
10
10
00
10
10
00
01
10
00
00
01
00
00
10
10
00
10
00
10
00
00
11
10
00
10
01
01
01
10
10
01
00
00
11
10
00
11
11
00
00
00
10
10
01
01
01
00
10
10
00
00
10
00
00
01
10
10
10
00
11
00
01
11
01
10
10
00
10
10
01
10
00
00
01
11
01
00
11
10
10
11
11
01
10
01
00
00
10
10
10
00
00
10
10
00
10
01
00
01
10
11
00
01
10
10
00
01
10
10
10
00
10
10
00
00
00
11
00
00
10
00
11
10
11
01
01
10
00
10
00
10
10
10
01
00
11
10
00
00
01
10
00
00
10
01
00
00
10
00
01
10
00
11
11
10
10
11
00
10
00
10
01
01
10
11
00
00
11
10
01
01
01
00
11
11
10
00
00
01
10
00
00
00
11
10
11
10
11
10
01
00
10
11
01
10
10
10
00
00
00
00
10
10
00
00
11
11
00
11
01
10
00
01
10
11
11
00
00
00
01
11
11
01
10
10
00
00
10
10
00
10
00
00
11
00
10
10
00
01
01
00
10
10
00
11
10
00
00
11
11
10
00
00
10
00
01
10
10
01
01
10
01
11
10
10
00
01
11
00
01
00
10
01
11
10
01
00
11
00
00
10
00
11
10
00
01
00
10
01
11
01
10
10
00
00
00
00
00
10
11
00
11
10
10
00
10
11
00
01
10
10
10
11
10
10
10
00
00
10
10
00
10
10
10
01
10
10
00
10
11
00
00
10
10
11
01
00
11
10
00
00
00
11
10
10
00
00
11
00
00
10
10
10
00
00
00
11
01
00
11
10
10
01
01
00
00
11
10
11
10
10
00
00
01
11
01
00
10
10
10
00
10
00
00
00
00
00
00
01
00
11
00
11
00
11
10
00
00
10
01
10
01
00
10
10
01
00
10
01
01
11
11
00
10
11
00
00
10
11
01
01
01
10
00
01
10
01
11
10
00
01
10
10
10
00
00
10
01
00
10
10
10
01
00
11
10
10
01
01
10
01
11
00
01
00
10
10
00
00
10
00
00
01
00
00
00
10
10
11
01
10
00
01
00
01
00
11
10
01
10
00
00
10
10
00
00
10
00
00
10
10
10
01
00
11
01
00
00
00
10
00
11
10
00
01
10
10
00
11
10
01
01
11
01
01
10
00
10
00
10
10
00
10
00
10
01
10
10
10
10
01
10
01
11
10
00
10
01
10
10
00
10
00
00
11
01
10
10
11
10
00
00
10
10
10
10
00
11
10
00
00
00
10
00
10
11
11
11
00
00
11
01
10
10
10
01
01
11
01
00
11
00
10
11
00
10
00
00
11
00
10
00
10
10
10
00
10
10
10
10
00
01
00
11
01
00
11
11
00
00
11
10
01
11
10
10
11
11
00
10
11
00
10
10
01
11
00
01
10
00
00
11
00
01
10
10
01
11
10
01
00
10
10
11
10
10
00
01
10
01
10
11
11
00
01
01
01
10
00
01
01
10
10
10
01
00
10
00
00
10
11
10
00
00
10
11
00
00
11
00
00
00
00
01
00
00
11
10
01
10
10
01
11
10
10
00
01
11
11
00
11
00
00
11
10
11
01
10
01
00
00
00
10
10
01
00
00
00
11
00
11
00
00
00
10
00
11
00
11
10
10
00
10
10
00
10
00
00
10
10
10
10
00
01
10
01
00
01
00
11
10
10
10
00
10
10
10
00
00
10
10
00
11
00
00
10
00
00
10
10
11
00
00
11
10
10
11
00
00
00
11
11
10
00
00
00
11
01
10
10
01
11
10
10
00
10
11
00
00
10
10
00
11
11
10
00
01
01
00
00
10
00
11
10
01
10
01
00
10
10
00
00
10
11
10
00
11
11
11
00
10
00
10
10
00
00
10
00
10
10
01
00
11
00
10
01
10
10
11
10
10
01
00
10
10
00
00
01
11
00
10
00
00
01
10
11
10
00
10
10
00
00
01
10
00
10
10
00
00
10
10
10
00
01
01
11
01
10
10
11
01
11
11
00
00
10
00
00
00
10
00
11
11
01
11
11
10
10
00
10
10
00
01
10
01
11
10
10
00
10
01
01
11
11
11
10
11
00
00
00
11
00
11
10
10
11
10
01
00
00
11
10
00
11
11
00
10
11
00
01
00
00
10
01
10
00
11
10
00
00
00
00
00
00
10
00
01
10
01
00
10
10
10
01
01
10
10
01
01
00
11
00
10
10
11
11
01
10
11
00
00
00
01
01
11
01
01
10
10
11
10
10
10
10
00
00
11
10
10
10
11
01
10
11
00
10
00
10
10
00
01
10
01
00
11
10
10
00
00
00
00
10
11
11
10
10
10
10
11
11
00
00
01
10
10
11
10
00
00
10
00
00
10
10
10
10
10
11
11
10
10
00
10
10
00
11
00
00
10
00
10
00
00
10
00
00
01
10
00
01
01
01
01
11
11
10
00
01
01
11
10
00
11
11
11
11
10
00
10
11
00
00
00
11
11
00
11
00
00
00
10
10
10
10
11
00
00
11
10
01
11
10
00
10
10
10
00
11
10
01
10
10
10
10
00
10
01
10
01
10
00
01
01
00
10
10
00
01
10
00
00
11
00
11
11
10
11
00
10
00
00
10
00
01
10
10
10
10
00
11
00
10
00
00
11
00
00
01
01
11
10
11
11
10
00
00
10
10
10
01
00
10
10
00
00
10
00
11
00
01
10
00
00
01
01
11
11
01
01
10
10
00
10
11
11
10
10
00
10
11
10
01
00
10
00
11
00
11
00
01
11
00
10
10
10
01
00
10
11
10
00
10
10
11
11
10
00
00
11
10
00
10
10
00
10
10
11
00
11
11
11
10
11
10
00
11
10
00
10
01
00
01
00
10
00
01
10
00
00
10
10
11
01
00
10
10
11
10
00
00
10
00
00
01
10
01
01
10
01
00
10
10
00
00
00
01
11
11
00
10
11
11
10
01
00
11
10
00
00
01
10
11
10
11
10
01
10
10
00
01
00
01
00
10
00
00
10
10
01
00
01
10
10
00
10
00
00
01
10
01
00
01
11
10
10
00
10
10
10
01
10
00
01
01
11
10
10
00
10
00
00
10
10
11
10
00
10
01
00
00
11
01
00
01
00
10
10
01
00
00
10
10
00
11
00
10
10
01
01
10
11
00
10
11
01
11
10
10
10
01
11
11
00
00
10
01
00
11
11
00
10
00
00
10
11
00
00
11
11
10
10
10
00
11
10
01
00
10
10
00
00
10
00
00
10
10
10
11
00
00
01
10
11
10
10
10
10
10
01
00
10
00
10
00
10
01
00
01
10
10
00
00
11
11
11
01
01
00
10
00
00
10
11
10
00
01
00
10
00
00
10
00
00
00
00
00
10
10
00
11
00
10
00
11
00
01
00
01
11
01
10
10
10
00
00
10
00
00
00
10
11
11
00
10
10
01
00
11
01
11
00
10
11
10
10
00
01
10
10
11
10
00
10
00
00
00
00
10
11
00
10
10
10
00
01
00
11
10
01
11
00
01
01
11
11
11
01
11
11
00
00
10
11
11
10
00
00
11
10
00
11
01
01
10
10
00
10
00
11
10
10
10
00
11
00
00
11
11
00
00
11
00
10
11
11
11
01
00
11
00
10
11
01
11
11
10
01
00
11
00
11
00
00
10
01
01
10
11
00
11
10
01
00
10
01
00
10
00
10
10
10
00
01
10
01
00
10
10
10
01
00
11
10
10
01
10
01
10
11
00
11
00
10
10
00
10
10
10
11
01
10
10
11
10
10
11
10
00
00
01
01
11
10
10
00
00
10
00
11
10
11
01
00
00
01
00
11
10
00
00
10
00
00
10
10
10
00
01
10
10
00
10
11
10
10
00
11
01
00
11
00
00
10
10
10
00
11
10
00
10
10
00
10
11
11
00
11
00
10
00
10
11
10
01
11
00
00
01
10
10
10
11
00
01
10
10
10
00
00
00
10
00
01
01
10
11
00
00
10
01
00
00
11
10
10
00
00
11
11
11
10
01
10
00
01
10
01
10
00
00
11
01
11
00
11
01
00
10
10
10
01
00
11
00
00
10
11
10
00
00
10
00
10
10
01
00
11
11
01
00
11
01
11
11
01
01
10
10
00
00
10
11
01
00
00
10
00
11
11
00
01
01
10
01
11
01
00
10
00
01
10
11
11
00
00
10
10
00
10
11
00
00
00
01
10
10
10
00
00
10
01
11
10
00
11
01
00
01
10
01
11
10
11
11
00
10
00
01
11
10
10
00
00
01
01
10
00
10
11
10
11
00
00
00
11
10
00
10
11
10
11
10
11
10
01
10
00
11
00
10
00
10
10
00
10
00
10
10
00
11
00
10
00
00
11
10
10
00
10
10
00
01
10
10
10
10
10
00
01
11
11
01
00
10
00
10
10
01
00
00
11
00
10
01
00
11
00
11
11
00
00
10
10
00
00
11
00
00
00
00
11
00
00
00
00
10
01
11
10
11
01
10
10
10
11
00
01
10
00
11
01
00
00
00
00
10
00
10
10
00
10
10
11
11
11
10
10
00
00
00
01
11
11
00
11
11
00
10
10
00
00
00
00
10
00
00
10
00
10
11
01
11
00
00
10
10
01
01
00
00
10
11
00
11
00
01
11
00
11
11
11
01
01
11
10
10
10
00
01
01
11
00
01
00
11
00
10
10
00
11
11
11
01
10
10
00
00
00
01
11
10
00
00
00
10
01
01
00
00
00
00
00
00
11
10
11
01
10
00
01
00
10
10
00
00
10
11
00
10
10
00
01
10
10
00
10
10
10
01
10
00
10
10
00
00
10
10
10
11
10
10
10
01
01
01
10
00
00
10
11
01
00
11
10
01
00
10
01
10
00
10
10
01
11
00
00
11
10
10
01
01
00
11
10
00
00
10
11
10
10
01
00
00
00
11
00
00
00
10
00
01
11
10
00
00
10
00
11
00
00
01
00
00
10
10
10
00
01
10
10
00
01
00
01
01
01
11
11
01
01
00
11
10
01
01
10
11
01
10
00
10
11
10
01
00
10
10
00
00
01
00
00
11
10
11
00
10
10
10
10
01
01
00
11
10
11
11
10
10
00
10
10
01
01
10
11
10
10
10
01
00
11
00
10
10
01
11
11
00
00
11
00
00
00
10
10
01
10
11
11
10
00
10
10
00
00
10
11
01
01
10
11
11
01
11
00
11
10
01
00
10
10
00
01
10
10
00
00
10
10
00
11
10
11
10
00
11
01
01
10
00
00
10
10
11
01
00
00
00
00
10
10
00
10
10
11
11
10
01
00
01
00
00
11
10
00
01
10
11
10
01
01
11
11
01
10
10
01
01
10
11
00
01
10
01
00
10
11
11
00
00
10
11
10
10
10
01
00
01
00
10
01
00
10
00
10
10
10
00
00
01
10
10
10
00
11
10
00
11
01
00
11
00
00
01
10
00
01
10
10
11
10
00
00
11
10
10
11
00
00
10
00
00
01
01
10
00
10
10
00
10
10
00
00
00
10
10
10
01
01
10
01
11
10
10
10
01
11
10
00
11
00
11
00
00
11
01
11
01
01
10
00
00
10
10
00
10
11
11
11
01
10
00
00
01
10
00
00
10
00
00
11
11
10
00
10
10
10
01
00
10
11
01
10
00
00
10
01
00
00
11
00
10
01
10
01
00
10
00
00
10
10
01
00
00
01
11
01
10
10
01
10
11
00
10
00
11
10
00
00
10
01
11
11
01
01
11
01
11
00
11
10
01
00
10
10
10
10
00
10
00
00
10
10
00
00
01
11
00
10
01
01
10
01
11
11
10
00
10
01
01
10
00
10
01
10
10
00
00
00
10
00
00
10
10
01
00
01
01
00
10
10
11
00
00
10
10
10
00
11
00
10
10
11
11
00
00
11
10
10
01
00
11
00
10
10
00
11
10
00
10
11
01
00
10
10
00
01
00
01
10
11
00
10
01
01
10
10
01
00
00
10
00
00
01
11
10
00
01
10
00
00
10
10
01
00
10
10
01
00
00
00
00
00
11
10
11
10
10
00
10
00
00
01
10
11
11
00
10
01
00
00
11
10
10
10
00
01
10
00
00
11
00
01
10
11
11
01
11
11
01
00
10
00
00
11
10
00
01
11
01
00
01
10
00
10
11
01
01
01
10
11
01
11
10
11
00
00
00
11
01
01
01
10
01
00
01
11
10
00
00
10
10
10
01
00
10
10
10
00
00
10
00
11
00
00
10
11
01
00
01
00
00
10
10
00
10
01
01
10
11
10
00
11
00
01
00
01
11
10
01
00
00
00
00
10
00
00
11
10
00
00
11
01
10
00
10
10
10
00
00
10
10
00
10
00
10
00
00
10
10
01
10
11
00
01
00
10
00
01
10
01
00
11
10
11
00
11
10
01
10
00
10
10
00
00
00
11
00
00
10
10
00
10
10
00
10
10
01
01
00
10
01
10
10
00
00
10
10
00
10
00
00
00
01
01
11
11
10
10
00
00
11
11
00
11
00
01
01
01
01
00
01
10
10
10
10
00
00
00
11
00
10
10
01
10
01
10
10
00
10
00
00
00
11
00
01
11
11
00
10
10
10
11
00
01
11
10
10
01
10
10
00
00
00
10
10
00
10
00
10
10
10
11
00
01
00
10
10
01
11
10
11
00
11
10
10
00
00
00
10
10
01
10
01
01
00
10
00
10
10
01
00
10
00
01
10
01
10
10
10
11
01
00
11
10
10
10
00
00
11
10
00
01
11
11
10
11
10
00
00
01
00
11
11
00
01
10
01
10
00
00
10
00
01
00
10
11
11
00
00
00
11
00
10
10
01
10
00
11
00
00
10
10
01
01
10
11
10
00
00
10
11
00
11
10
01
00
00
00
10
11
00
00
10
00
01
11
10
01
10
00
10
00
00
10
00
10
10
10
00
11
01
00
10
11
00
10
00
00
10
11
10
11
00
10
00
10
00
11
00
00
00
00
00
00
10
10
00
11
10
10
00
11
01
00
10
00
01
00
10
10
01
10
00
11
10
10
00
00
00
11
00
00
10
10
00
10
10
00
01
10
01
10
01
00
10
00
10
10
10
00
00
11
11
10
11
10
10
10
10
11
11
10
01
00
10
10
00
11
10
00
00
00
01
00
10
10
10
00
10
10
00
10
00
10
00
10
10
00
01
10
00
10
10
10
00
00
00
00
11
10
01
11
10
11
01
10
10
00
00
10
10
01
00
01
10
10
00
00
11
10
00
00
10
11
11
11
11
11
01
00
10
10
01
00
11
11
00
10
10
01
01
10
10
00
00
00
01
10
00
00
10
00
00
10
00
00
00
11
01
01
01
00
10
10
01
10
10
00
01
10
00
00
10
00
00
10
10
00
01
01
01
00
10
01
00
00
00
11
10
01
11
00
11
00
00
10
01
10
00
10
10
11
01
00
00
01
11
00
10
10
11
01
10
01
00
00
00
10
10
10
01
00
10
00
11
11
00
00
00
10
10
00
10
11
00
01
10
10
00
00
11
00
11
11
10
01
10
01
10
00
00
01
11
10
11
10
01
10
00
00
00
10
10
00
00
10
10
10
00
00
10
10
01
00
00
10
10
01
10
11
00
00
00
10
10
10
10
00
10
00
11
00
11
00
11
01
00
10
01
11
10
01
11
11
01
00
10
00
10
10
00
01
11
01
10
10
10
00
01
10
00
01
11
11
10
01
00
11
11
01
11
11
00
00
11
00
00
10
11
00
01
00
10
10
10
10
00
11
10
00
01
01
10
00
01
10
10
00
00
01
00
10
10
10
00
10
10
10
01
10
11
00
10
00
01
00
00
01
11
00
10
00
11
10
01
01
10
10
00
00
00
11
11
01
10
10
00
00
00
11
01
00
10
00
00
10
00
00
11
01
00
10
10
10
01
10
10
00
11
11
11
11
10
00
00
01
01
00
10
11
00
11
10
00
10
00
00
00
00
10
11
00
00
10
00
01
01
10
11
00
01
00
11
10
00
01
10
01
00
10
01
10
10
00
10
11
11
00
10
10
11
10
01
00
00
10
00
00
11
00
00
00
00
10
11
10
11
00
10
10
00
10
10
10
00
00
01
10
01
11
00
00
10
11
11
11
01
10
00
00
11
11
10
01
00
01
00
10
01
00
11
00
10
10
01
10
11
10
10
00
10
00
01
11
10
00
00
10
10
01
00
00
01
00
10
00
10
10
11
00
00
10
00
00
10
10
11
00
00
00
10
00
01
10
11
11
10
00
11
01
11
00
00
01
10
10
00
10
10
00
01
10
01
01
10
11
00
11
01
00
10
11
00
01
10
10
11
00
00
01
10
10
00
01
11
00
10
00
01
00
10
11
00
01
10
00
00
11
01
01
01
10
11
00
11
01
00
01
11
10
00
10
10
10
01
00
00
11
10
10
00
10
10
11
10
00
11
11
11
10
01
00
10
00
10
10
00
10
10
00
00
11
10
00
10
01
11
01
10
10
11
10
10
10
00
01
01
01
01
00
11
01
00
11
10
00
00
00
10
00
01
10
10
10
11
00
00
01
00
01
00
10
10
01
10
10
10
11
00
01
10
00
00
11
00
00
10
01
10
11
01
00
10
00
00
10
01
01
10
01
00
00
10
11
00
00
10
10
01
01
10
10
11
01
00
10
00
01
00
10
00
10
10
11
00
00
00
10
00
00
00
10
10
00
00
11
00
01
00
01
11
00
10
00
00
00
10
00
10
10
11
10
00
11
10
00
01
10
00
11
00
00
00
10
10
01
01
01
11
11
10
10
00
00
10
11
01
11
10
00
00
10
10
00
10
11
11
00
01
01
00
11
10
10
00
11
00
01
11
00
00
00
10
10
11
01
11
11
00
00
00
11
00
10
00
00
11
10
01
00
10
00
11
00
11
01
00
10
00
01
10
10
11
10
11
00
00
10
00
01
10
01
00
01
10
10
11
00
00
10
10
00
00
00
10
11
11
00
10
00
10
00
10
00
00
00
10
00
10
10
00
11
01
11
11
10
11
10
01
10
10
01
00
00
10
11
10
01
10
11
11
10
00
01
10
10
11
01
00
00
01
00
10
10
00
10
10
00
10
00
10
01
00
10
01
10
11
00
00
10
00
00
10
11
10
00
10
11
00
10
00
10
01
00
00
00
00
00
10
00
11
10
00
00
10
10
10
00
01
00
11
11
00
01
10
10
00
00
10
10
00
01
10
10
00
11
11
00
00
10
00
00
00
11
00
10
11
01
10
00
11
00
10
10
00
11
10
11
00
01
00
00
11
10
00
00
10
10
00
01
00
10
00
00
11
00
00
10
10
00
10
11
11
01
00
00
10
11
01
00
00
10
10
00
01
11
10
10
01
00
01
00
10
11
11
00
00
00
01
10
00
00
00
10
10
10
01
10
00
00
11
10
01
01
10
11
01
11
00
00
10
01
00
10
10
00
10
10
10
00
10
11
01
10
10
00
00
10
11
10
01
10
11
10
10
01
01
11
10
10
10
10
00
10
00
01
10
11
01
00
10
01
01
10
10
01
01
11
01
10
10
10
11
00
00
00
10
10
10
10
00
00
00
00
01
00
10
00
10
00
01
00
10
10
01
00
10
01
01
10
11
00
10
00
10
10
10
00
00
01
01
00
10
10
11
10
00
10
10
11
00
01
00
00
00
10
10
00
10
10
00
11
11
01
00
00
10
10
00
10
01
00
00
00
00
00
00
00
11
00
00
00
10
00
10
11
00
00
10
00
00
01
10
10
10
10
01
00
11
10
01
10
11
00
00
10
10
00
01
10
00
10
10
00
01
11
10
00
00
11
11
10
11
10
01
01
11
00
00
11
10
10
01
11
01
01
10
11
10
10
00
00
10
10
01
01
00
10
00
01
00
00
10
00
11
00
00
11
10
00
11
11
01
00
10
00
00
10
11
00
00
11
10
01
01
00
10
00
01
11
00
10
01
00
10
11
00
00
00
10
10
10
01
01
10
10
10
00
11
00
00
11
10
10
11
00
11
10
01
01
10
10
00
01
10
10
01
01
00
01
00
10
00
00
10
11
10
01
01
11
11
01
00
11
10
10
11
00
00
10
10
00
10
01
01
00
11
00
10
00
00
11
10
11
00
00
10
10
10
11
00
10
01
00
00
10
10
10
10
01
00
00
11
10
11
10
00
10
11
10
00
01
11
11
00
10
11
00
00
00
01
10
00
11
00
01
11
00
11
10
11
10
00
10
01
00
00
01
10
10
00
10
00
10
10
01
01
00
00
10
00
00
00
10
10
10
10
00
10
10
00
00
10
01
01
11
00
00
11
11
00
10
10
00
00
00
01
10
00
00
10
10
10
00
10
10
10
11
00
00
11
00
10
00
01
10
11
10
00
00
01
11
10
11
00
01
10
00
00
00
10
10
11
00
01
00
11
10
11
00
00
00
10
00
10
11
01
00
10
11
00
11
00
10
10
01
00
11
11
00
10
01
00
10
00
11
10
10
01
10
01
11
11
00
10
10
00
00
11
11
00
00
11
00
01
10
00
00
10
00
00
10
10
11
11
10
01
01
10
00
11
10
10
01
00
00
10
11
01
00
01
11
00
11
10
00
10
00
00
00
10
10
01
01
10
11
10
10
10
00
00
00
10
00
10
10
10
10
00
10
00
00
00
00
10
10
00
10
10
00
01
10
11
10
01
00
00
00
11
01
00
10
11
10
11
10
00
10
00
01
10
11
01
10
00
00
00
10
00
00
10
00
01
00
11
11
10
00
01
10
11
01
00
01
01
00
01
00
11
10
00
00
10
01
10
10
00
01
11
00
10
10
11
10
00
00
10
01
10
00
00
01
00
10
10
00
00
00
10
10
10
00
11
00
00
00
00
00
00
01
11
10
10
00
01
10
01
00
10
00
10
00
00
11
00
10
01
10
00
01
10
00
00
10
10
00
01
10
10
01
11
01
10
10
00
00
10
10
00
00
01
10
01
01
01
00
00
00
01
11
11
10
11
00
00
00
01
10
00
10
10
00
11
11
01
10
10
00
11
10
01
11
10
11
10
01
10
10
00
00
00
10
11
10
10
10
11
01
00
00
10
00
10
00
10
00
01
11
10
01
11
10
01
00
10
01
10
10
11
10
00
10
01
01
10
11
00
00
10
10
00
00
10
11
00
10
10
00
11
11
10
11
00
10
10
11
00
10
10
00
10
10
11
10
10
10
01
10
00
00
10
11
01
01
01
00
00
10
10
10
01
01
10
11
10
00
01
10
11
01
00
00
10
00
11
10
01
10
10
10
11
00
00
01
10
10
10
00
01
01
00
11
10
00
10
00
00
10
10
00
00
00
11
10
00
01
10
10
10
00
10
10
00
00
10
11
10
10
00
00
10
00
10
11
01
10
10
01
00
01
01
11
10
00
10
01
10
00
11
10
00
01
00
10
11
00
11
01
01
10
11
11
00
00
00
01
10
00
01
11
10
00
00
10
00
00
10
10
10
11
00
10
11
11
10
00
00
10
10
10
00
00
10
00
10
10
11
00
00
01
00
01
00
00
10
00
10
01
11
10
00
01
01
10
00
00
10
10
10
11
01
00
11
01
00
10
10
10
10
10
00
00
01
11
11
11
00
00
10
00
00
11
11
00
10
01
11
00
01
10
10
01
00
00
01
01
11
01
11
10
00
00
00
11
01
00
10
11
10
10
01
00
01
01
11
10
10
01
01
01
00
11
00
00
11
11
10
00
01
01
10
10
01
00
00
00
00
00
10
00
10
11
01
01
10
11
01
00
00
00
01
10
10
00
10
01
00
00
10
01
00
10
00
00
10
11
00
00
10
00
00
00
00
10
00
00
01
11
10
10
11
00
01
00
00
11
10
10
01
11
00
00
11
10
10
10
11
00
10
00
10
11
00
11
01
00
10
11
01
11
00
00
10
00
01
10
10
00
00
00
10
10
00
11
10
11
10
10
01
01
00
01
00
10
10
10
00
01
10
10
01
10
10
00
10
10
01
00
10
10
10
01
10
11
11
10
01
11
10
00
10
11
00
10
10
00
01
10
11
00
01
01
00
00
10
11
00
00
10
10
00
00
10
10
00
11
10
10
00
00
10
10
00
01
11
00
01
01
01
10
01
00
00
11
10
11
01
00
10
10
00
10
10
01
00
10
00
01
10
00
11
00
01
10
10
01
10
10
01
10
10
10
11
10
00
00
10
11
11
11
00
11
10
00
10
00
00
01
00
11
01
10
00
01
00
10
11
00
10
10
11
00
10
10
00
10
11
11
00
00
10
10
01
10
11
01
00
10
00
10
10
00
01
01
00
10
00
10
00
10
00
01
10
01
10
11
11
00
01
11
00
00
10
10
01
00
10
00
01
10
10
01
10
11
00
01
10
11
00
00
00
10
00
10
00
10
11
11
10
00
00
00
00
10
10
00
00
10
00
01
10
00
01
11
11
01
10
00
01
11
01
00
00
11
10
11
10
00
01
10
01
10
11
01
00
10
00
00
10
00
10
10
01
10
00
10
01
10
00
00
10
10
00
00
01
10
10
00
10
10
10
01
01
00
00
01
00
10
10
01
01
10
01
00
10
01
11
10
01
11
10
11
10
00
00
10
00
00
00
00
00
11
01
11
10
10
10
00
01
10
10
00
00
11
10
11
11
11
10
10
00
00
00
10
10
00
00
01
10
10
00
01
10
10
00
00
10
10
01
01
11
11
00
00
00
00
11
10
10
00
00
11
10
00
00
11
10
10
00
01
10
10
00
11
10
01
01
01
00
01
01
11
11
01
00
10
10
10
01
10
01
01
11
00
10
10
00
10
01
00
10
10
00
00
00
11
10
00
10
00
00
00
00
11
01
00
10
00
01
10
10
10
01
01
10
00
10
10
00
00
11
00
00
01
11
01
11
10
00
10
10
00
11
10
01
11
10
00
10
11
00
00
10
01
10
11
10
11
00
10
10
01
00
00
01
10
01
10
10
11
00
01
11
10
00
00
10
10
10
01
00
00
00
10
11
10
00
10
10
00
00
00
10
10
01
00
11
00
00
00
10
10
00
11
10
10
00
10
10
01
10
00
00
11
00
11
10
10
00
10
10
10
10
00
01
10
01
10
11
00
10
11
01
10
10
00
00
01
10
01
10
11
01
11
00
00
10
10
00
00
10
11
10
00
00
11
01
11
00
10
10
00
10
10
00
01
01
10
00
10
11
00
10
10
01
00
10
00
10
01
00
10
10
00
00
00
01
10
10
00
10
01
01
00
11
01
01
00
00
00
10
11
11
11
00
00
10
10
10
00
10
10
00
10
00
10
00
00
10
00
11
10
00
10
00
10
00
00
10
00
10
10
10
11
00
01
01
00
11
10
10
00
10
10
00
00
11
11
00
10
00
01
00
10
10
00
00
00
10
10
01
00
01
00
00
01
10
00
10
11
00
01
10
01
10
10
00
10
00
11
00
10
01
00
11
00
10
01
10
10
00
10
10
10
00
00
00
11
10
01
10
11
11
11
10
01
10
11
10
00
01
10
00
11
10
10
01
10
11
11
00
00
11
01
00
01
11
01
01
00
10
00
10
10
11
00
01
10
10
11
10
10
00
11
11
00
01
11
00
10
10
11
00
01
10
01
11
01
01
10
00
00
01
10
10
01
00
10
00
10
10
00
11
10
11
00
01
00
10
10
01
11
10
11
00
01
10
11
10
10
00
00
00
01
10
10
00
11
01
01
10
00
01
10
10
01
11
11
01
10
10
01
01
01
00
11
10
10
00
00
00
01
10
10
00
00
11
00
00
10
11
10
00
00
01
11
10
01
00
00
01
10
10
11
00
00
00
11
10
10
10
01
00
01
10
10
00
10
01
10
00
00
10
10
11
00
01
00
10
11
00
01
10
00
10
11
10
11
00
00
01
10
01
00
01
10
11
01
10
10
00
10
11
10
00
00
00
10
11
10
01
00
10
11
10
10
01
01
10
10
10
00
00
10
00
10
10
10
01
00
00
01
00
01
10
11
10
10
10
11
01
10
11
00
10
00
10
10
01
11
10
00
10
10
10
11
10
10
00
10
01
00
11
11
10
00
10
10
00
01
00
00
00
11
10
11
11
00
01
10
10
11
00
00
10
11
00
01
10
10
10
00
00
01
10
00
00
00
11
10
00
00
10
11
00
10
10
11
00
00
00
00
10
00
00
01
10
11
00
11
11
11
00
10
11
00
11
10
10
01
01
01
00
00
10
10
11
00
01
10
11
00
01
00
00
10
00
01
11
10
00
11
11
01
01
11
10
11
00
11
10
00
01
11
11
00
11
00
10
10
00
00
11
00
00
11
10
10
00
11
10
10
10
11
10
10
00
11
00
10
10
00
00
00
10
10
00
01
11
01
10
01
01
01
00
10
01
00
10
10
00
00
11
10
10
10
11
10
10
11
10
10
10
10
10
00
00
00
00
10
00
10
10
00
00
11
10
01
11
01
00
10
10
00
01
10
00
00
00
00
00
00
11
10
00
11
01
10
00
10
00
00
00
11
10
00
11
00
11
00
10
00
00
11
01
10
11
00
10
01
10
00
01
11
10
10
10
11
11
10
11
00
00
10
00
10
10
10
00
01
10
00
01
10
01
00
00
11
10
00
10
01
01
00
00
10
10
10
00
00
10
11
01
00
00
01
11
10
10
10
00
01
11
10
01
00
10
10
11
00
00
11
11
10
00
11
10
00
10
11
01
10
11
01
10
11
01
01
11
10
11
11
00
11
00
01
11
00
00
00
10
11
10
11
11
10
10
10
01
01
10
10
00
11
00
10
11
10
11
10
01
00
01
00
00
10
00
00
11
10
00
01
00
01
01
00
11
10
01
00
10
10
10
01
10
10
01
00
00
01
00
11
11
01
01
00
01
11
00
01
10
10
00
01
10
00
10
10
10
00
00
11
01
10
10
01
00
10
00
01
10
00
10
01
11
10
10
10
10
00
00
10
10
10
00
00
00
10
11
11
00
11
10
10
00
10
00
10
11
00
00
10
11
01
11
11
10
00
10
00
00
11
11
01
00
11
00
10
01
01
01
10
11
01
00
10
10
00
01
10
10
00
11
01
00
10
00
10
01
00
10
10
10
01
01
11
00
01
00
10
10
00
01
10
11
00
01
10
10
10
10
00
00
10
00
01
10
01
10
00
10
10
10
00
00
10
01
00
10
11
10
01
00
10
10
00
01
01
00
10
10
10
01
00
10
10
00
00
00
10
00
10
10
00
10
00
11
10
10
11
10
10
11
01
11
01
10
00
10
10
10
11
01
00
00
10
01
00
01
00
11
10
01
00
00
10
10
01
00
10
10
10
00
01
10
01
01
00
11
01
01
10
01
01
11
10
00
10
00
11
10
01
01
01
10
11
01
10
10
00
10
10
10
00
00
11
10
00
00
01
01
10
10
01
10
00
00
01
11
00
00
10
10
10
10
00
01
01
10
00
10
11
10
00
01
00
10
10
00
10
01
00
11
10
00
01
10
10
00
11
11
10
10
00
00
10
10
00
01
00
01
11
10
00
11
01
10
00
01
01
11
10
00
10
10
00
01
00
10
11
00
10
00
01
10
10
11
00
10
01
01
01
10
11
00
00
10
11
10
00
10
10
11
00
01
00
10
10
00
00
11
11
01
10
11
00
11
00
00
11
10
00
01
01
10
11
10
00
00
11
00
10
00
10
11
10
01
10
10
11
10
10
01
10
11
10
11
10
11
00
10
10
00
11
10
10
00
10
10
11
00
00
00
11
00
10
10
00
10
10
00
11
10
00
10
10
10
00
01
10
10
10
10
00
10
00
01
01
01
10
11
00
11
00
10
10
10
10
00
11
10
00
01
10
00
00
11
00
00
10
00
10
00
00
01
10
00
00
11
11
01
10
00
00
00
00
11
00
01
00
01
10
11
00
10
10
00
00
10
10
00
01
11
10
00
01
10
01
10
11
01
01
10
00
11
00
01
11
00
01
00
00
10
10
10
01
10
01
01
01
01
11
11
01
01
00
01
10
10
11
01
00
10
00
00
10
10
00
10
10
00
00
10
11
10
01
01
11
11
10
10
10
10
10
01
00
10
10
10
10
01
00
10
10
10
11
01
00
10
11
10
10
10
00
00
10
00
00
00
11
01
10
11
10
00
01
00
00
11
10
01
00
10
10
11
00
10
10
01
01
10
01
00
00
00
11
10
10
00
00
10
11
10
00
01
01
00
10
10
00
00
00
10
10
00
10
11
10
01
01
11
00
11
10
10
01
00
10
00
10
10
01
01
00
00
10
10
10
00
11
00
10
10
00
01
01
10
00
00
11
10
10
00
11
10
10
11
00
10
00
01
10
00
00
00
10
00
10
10
10
11
10
01
00
01
01
01
01
10
11
01
00
10
11
00
10
00
01
10
11
00
00
01
10
00
10
10
01
00
00
00
00
00
10
11
10
01
00
10
10
00
11
10
11
00
00
10
10
00
10
11
00
01
01
10
00
10
11
00
00
00
10
10
00
11
01
00
10
10
10
11
00
10
01
01
10
01
00
00
10
10
00
10
00
11
10
01
10
11
10
01
00
10
10
00
00
11
00
01
00
00
00
00
00
11
00
01
11
00
10
01
00
10
00
00
01
00
00
10
10
10
00
10
00
00
10
11
11
10
10
00
00
00
00
10
10
00
10
00
00
00
01
00
01
01
10
00
00
01
10
10
00
00
01
01
10
01
10
10
10
11
01
10
01
00
00
10
10
00
10
00
10
11
10
01
10
11
00
10
00
00
10
01
10
10
00
00
10
10
00
10
00
11
11
10
10
11
00
00
10
00
01
11
10
10
00
01
00
10
10
11
11
10
00
00
10
10
00
00
11
11
01
01
00
00
00
11
10
00
00
10
10
00
00
10
10
00
01
10
00
00
00
01
00
01
10
11
11
01
10
00
10
10
00
01
00
00
00
00
10
01
11
00
00
10
00
10
01
10
11
11
00
00
10
10
01
11
11
11
01
01
00
00
10
10
10
00
00
11
10
00
01
11
00
10
10
10
00
00
10
10
01
10
10
00
00
10
10
10
10
00
11
00
11
00
11
00
10
10
11
11
00
11
11
01
10
00
00
01
10
10
11
00
01
00
10
10
10
10
00
10
00
10
00
00
10
10
10
10
10
10
00
01
11
10
11
00
00
00
00
11
11
00
00
01
11
10
00
01
00
00
10
11
10
00
00
10
00
00
01
11
10
01
00
00
00
11
10
00
00
11
11
10
00
01
00
00
00
11
10
11
00
01
10
10
00
01
01
01
01
10
00
00
00
10
00
00
11
11
00
01
11
00
01
10
00
00
00
10
10
00
00
00
10
00
11
10
00
00
00
01
00
00
10
10
11
00
11
10
00
00
10
11
10
10
01
11
00
00
00
11
00
00
00
10
00
11
01
10
10
00
00
01
00
10
00
01
11
00
00
10
00
00
11
10
10
01
01
00
00
10
10
10
10
00
00
10
10
10
11
10
11
10
10
11
10
00
10
10
01
00
00
10
11
10
10
00
00
10
10
10
10
01
00
01
00
10
11
11
01
00
00
11
00
00
00
00
11
10
00
10
10
10
00
10
11
00
00
11
00
11
11
11
00
10
10
10
11
00
10
00
00
00
11
10
10
01
00
00
11
00
00
10
11
11
00
10
01
00
01
00
10
00
10
01
10
10
00
10
00
10
00
10
01
00
01
10
10
01
11
00
01
10
11
11
01
11
11
01
00
11
10
11
00
01
01
11
11
00
00
11
10
00
10
10
00
10
11
10
10
11
00
11
00
10
00
00
11
01
00
10
11
11
00
00
11
10
00
00
00
11
00
10
10
10
00
10
00
01
11
01
01
10
01
10
00
11
00
00
10
10
00
10
00
01
00
00
10
00
00
10
00
10
10
01
10
11
10
10
10
00
00
10
01
01
00
01
00
10
01
10
10
01
00
11
00
10
00
00
10
10
11
01
10
00
00
00
01
10
10
00
00
10
11
00
01
01
01
00
00
10
10
00
00
10
10
00
01
11
00
11
01
11
00
00
10
10
00
00
10
11
00
10
10
11
10
01
10
00
00
10
11
10
00
01
10
10
11
11
11
11
01
01
10
10
01
00
11
01
10
10
00
11
10
00
00
00
10
10
01
10
00
00
10
10
00
01
00
00
00
10
10
01
10
10
10
10
01
11
00
10
00
01
00
01
11
00
00
10
00
00
10
10
00
01
00
11
10
10
10
11
10
00
00
11
01
00
10
00
10
00
01
10
10
00
01
01
11
00
00
00
10
10
00
00
10
11
01
10
00
10
10
10
00
10
10
10
00
00
00
10
00
01
11
01
10
11
10
01
00
10
10
10
00
00
11
01
00
10
11
11
11
01
11
00
01
01
00
10
10
01
00
00
10
10
00
10
00
00
10
10
11
00
00
00
00
11
00
00
00
10
11
01
00
00
10
00
10
11
10
10
00
10
11
10
10
00
00
11
00
11
01
00
01
10
11
00
00
11
10
10
00
00
00
10
10
11
00
00
00
11
00
00
00
00
01
10
11
10
10
10
00
00
00
10
00
00
11
10
00
00
10
01
00
01
01
10
10
10
11
11
10
00
10
01
11
11
10
01
10
11
11
00
11
10
10
00
01
10
10
01
00
00
01
10
00
00
10
01
01
10
00
00
10
00
00
11
10
11
01
01
10
00
01
11
01
01
11
10
01
10
01
10
10
01
00
10
01
00
10
00
00
10
10
00
10
01
00
10
01
11
01
00
00
11
10
01
10
00
00
11
11
00
10
11
00
11
10
11
10
00
00
01
00
10
00
01
00
00
00
00
00
10
11
01
00
00
00
00
00
00
01
10
00
00
00
01
10
10
00
01
10
00
01
01
00
10
00
11
10
11
01
01
00
10
11
00
11
10
10
00
10
10
00
00
00
00
10
00
00
01
10
11
00
00
00
11
01
10
00
00
01
01
01
11
11
10
10
00
00
10
11
01
01
10
11
00
00
10
00
11
10
10
00
10
00
00
10
10
10
11
10
10
11
00
01
00
00
11
00
10
00
10
01
00
11
00
01
00
11
10
01
00
11
11
01
11
10
11
01
10
10
01
01
10
00
01
10
11
01
10
11
00
10
00
10
00
00
11
11
11
10
00
01
10
00
00
01
10
10
10
00
00
00
10
10
00
10
00
01
10
10
10
00
10
10
10
00
00
11
01
10
00
01
11
01
00
01
10
11
10
00
10
11
11
00
10
01
00
01
00
00
00
10
10
00
10
10
10
00
10
11
00
00
00
10
11
00
10
10
10
01
10
00
01
10
10
01
11
11
10
00
11
01
01
10
10
00
10
00
00
10
10
01
01
00
01
11
00
11
00
10
00
10
10
11
00
00
11
00
01
10
11
10
00
10
10
00
01
10
11
10
01
00
11
00
00
00
11
11
00
01
10
10
00
01
10
00
01
10
10
01
10
00
00
00
01
10
11
10
10
00
00
01
10
10
00
01
10
11
00
11
11
10
01
01
00
10
11
01
11
10
01
00
00
01
00
10
10
11
00
00
01
11
01
00
01
00
10
11
10
10
10
00
00
00
10
10
10
00
00
11
11
10
11
11
01
10
11
01
10
00
01
10
10
00
00
00
11
01
00
10
10
00
00
10
10
01
00
10
00
10
00
00
00
10
10
00
10
00
01
00
01
10
10
11
00
10
11
00
00
11
00
00
10
10
00
00
10
10
10
01
00
01
10
11
01
00
11
10
10
00
00
11
01
10
11
00
11
00
00
00
11
01
00
10
11
10
00
00
01
01
11
10
10
01
10
01
00
10
10
00
01
10
11
00
00
01
01
01
00
01
11
11
10
00
01
11
01
01
10
10
10
11
00
01
10
10
11
00
10
01
00
10
11
00
10
10
00
10
00
00
10
11
01
00
01
10
11
00
11
00
01
10
11
00
01
00
10
10
00
10
01
11
11
11
00
00
00
11
10
10
00
00
11
00
11
11
01
10
01
10
11
10
10
01
01
00
10
10
01
00
10
10
01
00
00
00
10
10
10
11
10
00
01
10
10
11
00
00
10
11
10
00
01
10
11
01
00
00
10
11
10
00
00
00
11
00
11
10
01
10
00
01
10
01
00
10
10
00
00
00
11
00
10
01
11
10
10
00
01
10
10
01
00
01
00
01
00
11
11
10
00
00
01
11
00
00
00
00
10
10
00
10
10
10
10
00
00
00
11
00
10
01
10
01
00
10
00
11
00
00
10
11
10
10
10
00
11
00
01
11
10
10
00
00
00
00
10
11
11
10
11
10
00
11
11
01
01
10
00
10
00
01
11
10
01
00
10
10
10
01
00
00
11
01
00
10
11
10
10
00
00
10
00
10
10
00
00
00
00
11
00
00
00
10
00
10
00
01
10
01
00
00
10
10
00
00
10
10
00
10
11
01
01
01
10
10
01
11
10
01
01
10
01
00
01
00
10
10
11
01
00
11
00
01
10
00
10
10
10
01
10
10
01
10
01
00
00
01
01
10
00
00
10
01
00
11
01
00
11
10
11
10
00
01
01
00
10
10
00
11
01
11
10
00
10
00
10
10
01
01
10
10
00
10
10
00
00
10
00
01
10
10
00
00
10
11
10
01
11
10
11
00
01
00
11
11
10
01
00
10
01
01
10
00
10
10
01
10
01
11
01
10
11
10
01
11
10
00
10
11
10
10
00
10
10
10
10
00
11
00
00
11
00
11
10
10
10
10
00
11
11
00
00
10
10
01
01
11
01
01
11
10
11
10
11
00
01
10
00
00
11
01
01
10
00
01
00
00
10
00
00
01
10
10
10
01
10
10
10
10
10
01
00
01
10
10
10
00
01
10
10
00
11
11
11
01
00
10
11
00
01
11
11
01
10
11
01
11
10
00
00
01
11
10
00
00
10
00
00
11
10
01
10
00
00
00
10
10
00
01
10
10
00
01
10
10
01
11
10
00
00
11
01
01
01
10
10
10
00
00
00
10
11
10
10
01
00
00
00
10
01
00
10
11
10
01
11
10
10
00
00
10
11
00
01
00
10
10
10
01
01
00
10
01
10
01
10
00
11
11
01
00
10
10
10
10
00
10
11
00
10
00
00
11
11
00
01
11
10
01
10
00
10
11
00
10
11
01
10
11
10
10
00
01
00
10
11
00
01
01
01
10
11
00
00
11
10
10
01
00
10
10
10
01
00
00
10
00
00
00
11
10
10
10
11
10
10
10
00
10
10
00
00
11
10
10
11
11
11
00
11
10
01
10
00
00
10
00
01
00
00
10
11
10
00
10
11
00
10
10
00
10
10
00
11
10
00
00
10
10
00
00
01
00
01
00
11
10
00
10
01
10
01
10
10
01
00
11
01
11
10
00
00
10
01
01
11
10
00
00
01
10
10
10
00
00
11
11
00
00
11
00
10
10
00
00
10
00
00
10
01
10
10
01
10
00
10
10
01
00
10
10
00
00
10
01
10
00
10
00
00
10
11
00
00
01
11
10
10
10
10
10
00
00
11
10
01
10
01
00
11
11
11
10
01
00
10
00
10
00
00
11
10
00
01
01
10
00
00
10
11
00
00
10
10
00
10
10
11
00
00
10
00
10
00
00
00
10
01
00
00
01
00
01
11
10
10
00
00
01
11
10
00
00
11
10
00
01
11
11
10
10
10
10
00
00
00
10
10
10
00
00
00
11
10
10
11
00
01
10
00
00
10
01
10
11
00
01
00
10
00
10
01
00
00
10
10
00
01
10
01
10
10
00
11
10
00
01
10
10
01
11
11
01
00
00
00
00
01
11
10
00
10
10
00
10
10
10
00
10
10
00
00
10
00
10
00
00
10
10
01
10
00
01
00
10
00
01
10
10
01
00
11
10
10
00
00
10
10
00
00
10
10
10
00
10
11
00
11
10
00
00
11
00
01
10
11
00
00
01
01
10
11
01
00
10
11
01
11
10
00
10
00
00
11
10
01
00
10
11
10
00
00
01
11
00
01
01
00
00
00
00
00
10
10
10
00
11
11
00
01
10
00
00
10
00
00
00
10
11
00
01
00
11
00
11
00
10
01
00
10
00
11
10
10
11
00
00
10
01
10
00
00
10
10
00
01
00
01
00
10
11
01
00
00
01
11
01
10
11
10
11
11
01
00
00
00
10
10
01
11
10
01
00
00
00
10
10
01
00
10
10
10
00
10
10
10
11
01
10
10
01
01
10
00
10
10
00
00
00
10
10
10
11
11
00
00
00
10
11
00
11
11
10
00
10
00
01
11
10
01
01
01
00
10
11
10
10
00
10
10
00
11
10
00
11
01
10
00
00
10
10
00
00
11
10
00
01
00
01
01
10
00
00
00
10
10
00
00
01
00
10
11
00
01
00
01
01
01
10
11
11
00
10
10
10
00
00
10
00
11
11
10
00
11
00
00
01
00
01
10
10
11
00
00
01
00
10
10
00
11
11
11
10
00
01
10
11
00
11
11
00
00
01
11
10
10
00
00
00
11
00
11
11
11
11
01
10
10
10
10
01
11
10
01
00
11
00
00
10
10
00
00
11
10
00
00
00
00
01
01
10
10
00
10
01
00
10
11
00
00
10
00
00
11
00
01
00
10
10
10
00
00
00
10
10
11
00
10
00
11
00
10
00
11
11
01
00
00
01
00
10
10
00
00
00
10
10
00
01
00
01
11
00
10
11
00
00
10
10
00
00
10
11
10
10
01
10
11
10
01
10
10
00
01
00
11
10
00
00
10
01
00
00
10
00
01
10
00
00
10
00
01
11
11
01
00
01
10
10
00
01
00
10
10
00
10
00
01
11
11
01
10
00
11
00
00
11
00
00
10
10
10
00
10
10
00
00
01
10
00
01
00
01
10
10
00
10
10
01
11
10
11
11
00
10
01
10
01
10
01
01
10
11
10
10
10
10
01
10
10
00
11
00
10
01
01
11
10
11
11
00
00
00
00
10
00
01
01
10
10
11
10
00
11
00
00
00
10
11
00
00
11
10
00
00
00
11
00
00
11
10
10
00
00
00
01
10
00
01
11
00
10
10
00
01
11
00
11
11
00
10
00
01
10
11
10
00
10
10
01
01
11
11
01
01
10
00
00
10
10
10
11
00
00
10
10
10
01
11
00
00
00
10
01
01
01
10
11
11
10
00
00
00
00
00
11
10
01
00
11
00
10
00
00
10
10
11
10
01
01
10
11
00
00
10
00
00
10
10
00
10
00
11
00
01
10
01
00
10
11
00
00
00
01
11
00
11
00
00
10
00
01
10
10
11
00
00
00
11
00
10
11
10
10
01
10
00
01
10
00
01
11
10
00
00
10
10
00
10
00
01
11
00
00
10
10
00
10
10
00
10
00
10
00
00
10
11
01
10
10
00
01
10
01
10
10
00
11
10
01
01
00
11
11
10
11
10
01
11
01
00
00
11
10
10
00
01
10
10
00
11
10
00
00
00
10
01
00
10
10
10
01
00
01
10
11
00
10
11
00
10
10
00
00
00
00
00
11
00
10
00
00
00
00
01
10
10
00
01
10
01
10
00
00
11
11
10
01
01
10
01
10
11
00
01
11
11
11
00
11
00
10
10
00
00
10
01
00
10
00
01
00
00
10
11
10
01
00
00
10
10
10
01
00
11
00
00
01
00
11
10
11
00
11
10
00
00
11
00
00
01
00
00
11
01
10
00
01
11
10
00
11
10
00
00
10
00
01
01
01
01
00
00
11
00
00
10
11
00
10
11
00
10
10
11
11
00
01
10
00
01
11
10
00
10
11
11
00
00
10
10
11
11
11
00
10
10
10
10
01
00
11
10
10
00
11
10
10
01
00
01
00
10
11
00
00
00
10
11
00
10
10
01
00
10
10
00
00
01
00
10
00
11
11
00
00
00
10
00
00
00
10
11
01
10
11
01
00
00
01
01
00
10
10
00
01
10
10
01
00
11
11
01
10
10
00
00
01
00
01
10
10
00
01
10
11
01
01
00
11
00
10
01
00
01
10
10
01
10
01
11
00
01
00
00
11
10
00
10
00
01
01
00
00
01
10
00
10
11
10
10
10
00
10
00
10
00
10
10
00
10
00
10
01
00
10
11
00
00
00
10
11
01
10
11
00
10
10
00
10
00
10
10
11
01
00
00
00
00
01
11
10
00
11
10
10
00
00
10
00
00
10
00
00
00
10
10
01
11
01
11
10
00
10
00
10
01
01
10
00
11
11
11
11
00
10
00
10
10
10
00
01
10
00
10
10
01
10
01
11
10
01
11
10
00
10
10
00
00
10
01
00
01
11
00
00
01
10
10
10
10
00
00
01
10
00
01
10
11
00
00
10
10
10
01
10
10
00
10
00
00
00
01
10
01
01
00
10
00
10
11
00
00
00
10
00
11
10
00
10
10
10
00
10
11
01
01
11
01
00
01
10
10
01
10
10
10
00
00
00
10
10
10
00
11
01
10
10
10
01
10
10
00
10
00
01
01
01
11
10
11
11
10
11
10
00
00
00
01
00
00
10
10
11
00
00
00
10
10
00
11
10
00
10
11
01
00
01
00
01
11
00
00
10
10
00
10
10
10
00
00
01
00
11
10
11
00
01
01
00
10
11
00
00
00
00
11
10
00
11
10
00
10
01
00
00
10
11
10
01
11
01
01
11
01
11
11
00
00
11
11
01
01
10
00
00
00
10
10
10
00
01
00
11
10
01
10
00
00
01
11
11
11
01
00
01
10
01
00
10
10
00
11
10
01
10
00
01
10
01
00
00
10
00
00
11
00
00
01
01
10
00
10
00
01
00
10
10
00
10
10
00
01
10
11
00
00
10
00
10
10
10
00
01
10
11
10
01
01
10
00
00
00
00
11
10
00
00
00
10
10
10
11
01
01
01
01
01
10
11
00
00
00
10
10
11
00
00
00
10
00
10
00
00
01
10
01
11
01
10
01
00
11
00
00
10
11
11
00
01
10
10
01
01
01
00
10
01
10
00
10
11
00
11
00
00
00
10
01
00
11
11
00
00
10
00
01
11
10
10
00
00
10
00
01
10
10
01
10
00
00
10
00
10
10
00
00
11
00
00
01
10
00
10
10
00
00
11
00
11
00
00
10
00
00
10
01
00
00
10
10
01
10
00
00
00
00
00
10
11
10
01
00
00
11
10
01
10
11
01
11
11
11
01
10
00
00
00
10
10
00
11
11
00
10
10
10
10
10
10
00
01
10
00
10
00
10
10
10
00
01
00
10
10
10
10
10
10
00
00
00
10
11
10
10
00
10
11
01
00
10
11
00
10
10
10
10
00
10
00
01
00
00
11
10
10
01
01
10
01
00
10
01
10
10
00
10
10
01
11
10
10
01
10
11
00
00
10
01
00
10
10
11
10
00
00
00
00
10
10
10
00
10
10
00
10
01
11
00
00
11
11
00
11
11
00
10
10
00
11
00
00
01
10
11
00
01
10
11
00
01
00
10
11
11
01
11
00
01
10
00
00
00
11
10
11
01
10
10
01
00
10
10
01
01
11
11
01
01
10
01
01
10
11
10
10
01
01
10
10
10
00
01
00
11
01
00
01
00
11
00
10
10
10
01
01
10
11
00
00
10
00
10
00
01
11
10
01
01
01
00
11
00
00
10
10
10
00
00
10
00
10
00
00
00
01
10
10
00
10
10
01
01
01
10
00
11
01
10
00
01
10
00
10
10
00
01
11
01
01
00
10
01
11
11
10
11
00
01
10
00
00
10
11
11
00
00
10
01
01
11
00
10
11
10
01
00
10
10
10
01
10
00
00
10
10
10
00
10
10
00
00
00
00
10
00
11
01
00
10
10
10
10
00
11
01
10
01
01
11
01
00
01
11
00
01
10
11
00
11
10
00
00
10
00
11
11
10
00
00
01
00
01
10
01
10
10
00
01
01
01
01
11
11
00
01
01
10
10
00
00
10
11
00
10
01
11
11
01
10
10
11
11
11
00
00
10
10
00
11
11
10
00
00
11
11
00
00
10
00
00
10
10
01
11
10
01
01
11
00
00
10
00
10
00
01
10
01
11
11
10
10
01
00
11
00
10
10
01
01
01
10
10
00
00
01
00
11
11
00
10
10
11
10
11
01
00
00
10
01
01
00
10
11
00
00
11
10
00
10
00
10
10
00
11
00
01
00
10
10
01
00
10
00
00
10
10
10
11
10
10
11
11
00
10
11
00
00
11
10
00
10
01
00
01
10
11
01
00
11
11
01
00
00
10
10
00
01
01
11
11
00
01
10
00
00
10
11
00
00
11
00
10
11
10
00
10
00
00
11
10
01
11
11
01
10
10
00
10
11
10
01
01
01
00
00
00
10
00
01
10
11
11
00
10
00
10
10
10
00
00
10
10
11
00
11
00
00
10
00
00
11
10
00
10
01
00
00
10
00
01
11
11
01
00
10
00
00
10
01
00
10
00
11
00
00
01
10
01
01
00
10
00
11
10
10
01
00
01
00
00
10
10
00
10
01
00
01
01
01
11
10
11
00
10
11
00
00
10
00
01
00
01
10
00
00
10
11
00
10
10
00
10
00
01
11
01
11
00
00
00
00
00
11
00
00
00
11
10
11
00
00
10
01
01
10
10
01
10
00
10
01
00
10
11
00
00
10
00
00
00
10
10
00
00
10
10
00
10
00
10
00
00
11
10
11
01
10
10
11
00
10
00
00
11
00
11
01
00
01
10
00
10
01
00
10
00
01
10
00
00
11
01
10
10
10
01
01
11
01
10
00
10
00
10
00
00
00
11
00
11
00
10
10
00
10
01
10
10
00
10
01
00
01
11
00
11
10
10
01
10
00
00
01
00
10
00
11
10
00
00
00
10
10
01
01
00
10
11
10
10
01
00
10
00
00
11
00
00
00
00
01
00
10
11
00
00
10
00
00
10
10
11
10
10
10
00
00
10
10
00
11
00
00
10
00
00
10
10
01
10
00
01
10
01
10
10
00
10
00
11
01
00
00
00
10
10
10
00
00
10
10
10
10
00
10
10
00
00
00
10
10
00
10
11
00
00
00
01
01
00
01
10
11
00
00
10
11
00
01
10
00
01
10
00
01
10
10
00
01
10
11
00
00
10
01
01
01
01
11
11
11
10
00
10
01
00
11
10
01
00
01
10
10
11
00
00
10
00
00
10
00
10
10
00
01
01
11
11
00
11
01
01
10
01
00
11
11
01
10
01
10
11
00
10
00
00
10
11
01
00
11
10
01
10
00
00
10
10
00
01
10
10
00
01
00
10
10
10
10
00
01
00
01
10
11
01
10
00
11
00
01
01
11
10
00
00
00
10
00
00
10
00
00
11
11
01
10
10
10
11
11
01
01
10
10
10
00
10
10
01
00
10
01
01
00
10
10
01
00
00
01
11
00
01
01
11
11
00
11
00
00
11
10
00
00
01
10
01
10
11
11
11
00
10
10
00
10
10
11
00
00
00
00
00
01
11
01
10
10
01
10
01
10
10
00
10
11
01
00
10
11
00
10
10
10
00
11
11
01
00
10
11
00
10
01
00
01
11
00
11
10
10
10
10
00
00
10
11
00
01
01
00
11
11
11
10
00
00
11
10
00
10
00
00
10
11
11
00
01
00
01
10
00
00
00
00
10
11
00
01
00
11
11
11
00
01
00
10
10
00
00
10
10
10
00
01
10
01
01
10
10
00
10
10
00
01
00
00
01
11
10
11
00
10
10
00
10
01
01
10
11
00
10
10
00
00
00
01
11
00
10
01
01
11
11
00
00
10
00
10
00
00
11
11
01
01
10
01
01
11
10
10
00
10
10
11
10
00
10
00
10
10
10
11
10
01
10
00
10
10
01
10
01
00
10
10
00
01
01
11
10
10
10
01
10
10
00
00
11
10
10
10
01
00
10
10
10
10
10
10
01
00
00
10
11
11
00
00
11
00
00
10
01
01
01
10
10
00
10
11
00
10
10
00
00
11
11
00
01
00
11
10
00
10
00
11
01
11
10
11
10
11
00
00
10
10
10
00
11
01
00
10
00
01
10
10
00
10
00
01
11
11
00
00
11
11
01
00
10
00
10
11
00
01
11
10
10
00
10
10
00
00
10
10
00
01
00
00
10
10
10
00
00
00
11
11
10
10
10
11
10
00
00
01
01
10
10
00
11
00
11
11
10
10
00
00
10
00
00
10
01
00
10
00
00
10
10
10
10
10
10
01
01
11
10
10
10
00
00
10
10
11
01
01
11
11
10
00
00
01
00
11
10
10
10
01
00
00
10
10
10
00
00
00
00
11
00
10
01
11
11
10
01
00
11
11
10
01
10
01
00
01
10
11
01
01
01
10
10
00
00
00
10
11
00
00
01
00
10
01
10
10
10
01
01
00
10
10
10
11
00
01
11
01
01
00
00
11
01
10
00
10
01
00
01
00
10
00
00
10
10
00
01
10
11
00
11
01
11
00
01
11
10
10
01
01
10
10
01
11
00
00
01
00
11
00
01
10
10
00
11
00
00
10
11
00
10
00
11
10
00
00
00
10
00
00
00
10
11
10
10
11
11
01
10
01
00
00
10
11
00
01
01
10
10
00
10
10
00
00
10
10
00
00
01
00
10
10
10
00
11
00
01
01
00
01
10
00
00
00
10
10
11
00
00
01
01
01
00
11
10
10
10
01
10
10
01
00
01
10
10
00
11
10
10
10
00
00
10
10
00
01
10
01
00
10
10
00
11
10
10
01
00
01
10
11
00
00
01
10
10
00
10
11
10
00
01
01
11
10
01
10
00
00
01
01
10
01
01
01
11
00
10
00
01
10
10
00
01
10
10
11
00
10
11
10
00
01
10
00
00
00
10
01
00
10
00
11
01
11
10
11
11
10
01
00
10
11
10
01
01
10
11
10
00
00
00
10
11
00
00
00
10
10
01
10
00
11
11
00
10
01
00
00
11
10
00
11
10
11
11
11
00
00
01
11
10
00
00
00
00
00
01
10
11
10
11
11
01
00
10
10
00
11
00
10
10
10
10
00
00
10
10
01
10
10
00
00
00
10
01
00
00
00
00
10
11
00
10
10
00
10
11
01
00
00
00
11
10
11
00
00
10
00
10
11
11
00
00
01
10
00
00
00
11
00
10
10
01
11
01
10
10
00
00
10
10
11
00
00
10
11
11
10
01
01
10
10
00
00
10
00
00
10
01
10
00
00
10
11
10
00
10
00
00
00
01
10
01
10
00
10
10
00
10
10
10
01
10
00
11
10
10
10
00
11
00
00
00
10
01
00
00
00
11
11
01
00
10
00
10
01
11
00
00
10
00
10
01
10
11
01
00
00
10
10
00
00
00
10
11
11
11
11
11
10
00
01
00
10
00
00
11
10
00
11
10
00
11
11
01
10
10
10
01
10
11
10
00
00
01
10
11
00
01
00
11
10
01
10
10
00
00
10
10
00
00
01
10
10
01
00
11
01
10
00
11
10
00
00
00
10
00
10
10
10
11
00
00
10
11
00
01
10
11
11
00
00
00
01
10
01
00
00
10
11
00
00
10
10
10
00
10
00
00
11
00
10
00
00
10
11
11
11
11
10
01
00
10
10
00
00
11
11
10
10
00
00
10
10
00
11
10
00
01
10
10
00
11
10
00
00
11
10
10
00
01
00
11
11
10
11
01
00
10
01
01
00
11
00
11
10
01
11
10
00
11
11
01
01
10
11
00
10
11
00
00
11
10
00
10
00
01
00
10
10
00
01
01
00
10
00
00
01
00
10
00
00
10
10
11
11
01
10
01
11
10
00
10
10
10
10
00
00
11
11
01
10
10
00
00
10
00
01
10
10
00
01
00
10
00
11
11
01
10
01
00
11
10
01
10
00
01
01
10
11
01
11
11
00
01
01
01
10
01
00
11
10
00
00
11
11
01
10
10
10
10
00
00
00
10
10
00
01
10
00
01
10
00
00
00
10
10
00
00
10
10
00
11
00
00
10
00
01
10
10
00
10
10
00
11
00
10
00
11
00
10
11
00
01
10
11
01
00
10
01
10
11
00
00
00
10
10
01
00
10
10
11
00
01
01
10
10
11
10
00
10
10
01
01
11
11
00
00
00
00
10
10
11
11
11
01
10
01
00
00
10
00
00
10
10
01
00
11
00
10
11
00
10
00
00
10
00
11
00
10
00
01
11
00
11
11
00
11
11
01
01
10
11
11
00
10
00
10
00
00
10
00
10
00
10
10
10
01
00
00
10
00
10
00
10
10
10
10
00
11
00
00
01
01
11
10
11
10
00
00
00
10
10
00
00
00
11
11
10
00
01
10
01
01
10
11
10
00
11
01
00
10
00
10
11
00
00
00
00
01
01
11
00
00
10
00
11
01
01
11
10
00
10
10
10
11
00
00
01
10
00
10
00
00
00
10
10
10
00
10
11
10
10
00
00
10
10
10
01
00
01
00
00
10
11
00
10
00
10
00
01
11
00
00
11
01
10
11
01
00
00
01
01
00
11
10
10
10
10
00
10
11
00
00
00
10
10
11
00
00
10
10
00
10
00
00
01
11
01
10
01
00
01
11
10
00
00
01
10
10
00
10
00
10
01
10
11
01
00
10
00
01
10
10
00
00
10
01
11
10
11
10
11
10
11
10
10
00
00
01
10
01
01
00
01
10
01
01
11
10
11
01
11
00
00
00
10
10
00
00
10
01
10
00
10
00
00
10
01
10
00
00
00
00
00
00
10
11
11
01
11
11
10
00
01
10
11
01
00
01
10
10
11
11
00
10
01
01
01
10
00
00
00
10
00
01
10
01
00
01
10
10
00
00
10
11
10
10
00
00
00
10
00
00
10
10
10
00
10
01
00
01
00
10
11
01
01
00
11
10
10
00
10
00
00
00
10
10
01
10
11
10
11
00
00
10
01
01
01
10
11
01
01
11
11
11
01
01
10
10
00
00
01
10
01
00
10
10
01
00
11
10
01
00
10
01
10
10
00
10
01
00
11
11
10
11
10
10
01
00
00
00
10
10
11
10
01
10
10
10
00
00
01
10
00
10
11
11
11
00
11
11
00
00
10
00
00
10
00
01
01
01
01
01
10
01
10
10
00
00
00
10
10
00
10
10
00
00
10
00
10
00
10
11
01
10
10
01
01
11
00
00
10
11
00
10
11
01
00
00
10
00
00
10
00
11
00
10
01
10
10
00
00
00
00
00
10
00
11
00
10
01
01
11
10
10
00
10
10
11
01
00
00
00
01
11
00
10
10
01
01
10
01
11
10
10
10
01
00
01
11
11
10
10
11
00
10
11
00
10
11
10
00
10
00
01
00
10
10
01
00
11
00
11
10
00
11
10
10
00
00
10
00
10
01
00
01
00
10
10
10
00
01
11
11
00
00
01
10
00
00
00
00
10
10
10
10
00
00
11
00
10
10
00
00
10
10
00
00
11
01
00
01
10
10
00
11
00
10
10
11
10
11
10
11
00
01
10
10
10
00
00
10
11
01
11
00
11
00
00
00
01
01
10
00
10
01
01
10
01
11
10
00
00
10
11
10
01
00
00
11
11
11
10
11
00
00
11
00
00
10
10
10
01
00
00
00
00
10
10
11
01
01
10
01
10
00
00
01
01
11
11
01
00
01
10
01
11
10
10
10
00
11
00
00
10
10
00
00
00
10
00
00
10
10
00
10
10
11
00
00
00
11
00
11
00
01
10
10
10
01
00
10
11
11
01
11
10
00
10
10
10
10
10
00
01
01
00
11
11
00
01
10
10
01
01
11
10
01
01
11
01
00
10
10
01
00
01
10
11
01
00
10
10
00
01
10
01
10
10
00
01
00
00
00
11
01
00
11
10
10
00
00
00
11
11
10
10
11
01
00
10
00
01
10
10
10
01
01
10
10
01
10
00
01
00
10
00
00
00
00
00
00
10
11
00
01
01
10
11
00
00
11
10
10
10
11
00
00
00
00
00
01
01
10
01
01
10
01
00
00
11
00
01
00
00
11
00
11
00
01
10
11
00
10
10
00
00
10
11
10
01
11
00
10
00
00
00
01
10
10
00
11
11
00
01
00
10
10
10
01
00
11
11
10
01
11
00
10
10
00
00
01
10
00
00
10
10
11
10
00
11
01
00
10
11
00
10
00
00
10
00
01
10
00
10
11
01
11
01
00
00
00
10
01
10
11
10
10
01
11
00
10
00
00
10
11
00
11
00
00
01
11
01
00
10
11
00
10
10
00
01
10
10
10
00
01
00
11
11
10
01
00
10
10
11
00
00
10
11
01
11
00
10
11
00
00
01
00
10
11
00
10
00
10
00
00
01
10
00
00
10
10
10
00
10
00
00
10
00
10
10
10
00
01
00
10
01
00
11
00
11
00
11
00
11
00
01
11
11
00
10
00
00
00
10
10
01
10
11
00
00
10
10
00
00
10
10
01
00
11
10
00
10
01
00
01
01
10
00
11
00
10
10
01
01
10
00
00
10
10
00
10
00
00
01
10
10
10
10
01
11
00
00
11
10
11
11
01
10
11
00
01
00
00
00
11
11
10
01
00
00
01
00
11
10
10
00
11
10
00
00
11
00
10
10
01
00
10
00
10
00
00
10
01
11
11
10
00
00
01
00
10
00
01
11
00
01
11
10
10
01
00
00
10
10
00
00
01
10
01
01
10
10
10
10
10
11
00
00
10
11
01
01
00
00
00
10
11
01
11
11
11
00
10
10
11
10
01
00
10
00
10
00
10
01
00
10
10
00
00
00
11
11
11
00
10
10
00
00
10
01
01
11
00
10
00
10
00
01
10
11
01
11
00
01
00
11
01
00
00
00
00
11
10
00
10
00
00
00
11
00
00
11
00
11
00
10
10
01
00
11
10
01
10
00
00
00
01
01
01
10
11
00
10
00
00
10
00
00
10
11
00
10
01
10
11
00
00
10
00
11
10
10
00
10
10
00
00
11
00
01
10
10
01
00
11
10
11
01
10
10
00
11
10
00
00
00
10
10
01
11
11
11
00
00
00
10
10
11
10
10
01
10
01
00
00
10
10
10
11
10
00
00
01
01
10
11
00
10
10
00
10
00
01
10
10
00
00
11
00
00
10
11
00
10
11
01
00
10
00
00
01
01
00
11
11
10
11
00
11
00
11
10
00
00
11
10
00
01
00
10
10
11
10
10
11
10
00
00
00
10
01
10
10
10
00
01
11
00
01
10
11
00
10
00
00
11
11
01
00
10
00
01
00
11
10
00
01
10
00
00
00
10
10
01
01
10
11
00
10
01
10
10
01
00
10
10
00
01
00
00
11
11
10
01
00
11
00
00
11
10
10
01
00
10
00
11
01
10
00
11
11
00
10
10
10
00
00
10
00
00
10
00
00
10
01
10
10
00
10
00
11
11
11
01
01
10
00
00
00
11
00
01
10
10
10
00
00
11
10
11
00
00
01
10
10
01
10
11
00
00
00
00
10
00
00
11
00
10
10
10
00
00
11
00
10
10
10
00
00
10
00
11
11
10
10
10
10
00
00
00
10
11
01
10
10
11
10
10
00
10
10
11
00
11
01
00
00
01
10
10
01
01
10
10
01
01
00
10
11
11
00
00
01
11
10
00
10
10
00
10
01
01
11
10
01
10
00
10
10
11
00
10
00
00
00
00
00
11
11
00
00
00
00
10
01
01
10
00
01
00
00
10
11
10
10
11
11
00
01
11
10
10
10
01
10
00
00
00
00
10
00
10
10
10
01
00
10
01
11
00
10
00
10
10
01
11
10
00
00
00
10
00
00
00
10
01
10
00
00
00
10
01
00
01
01
00
10
00
10
11
01
00
10
10
00
11
00
11
00
00
00
00
10
10
10
01
10
10
00
00
11
00
00
10
01
11
00
01
00
00
01
10
11
10
00
00
10
01
11
10
01
11
01
11
10
11
10
00
10
10
00
00
00
10
01
00
00
00
10
11
10
00
00
01
01
10
01
11
01
01
11
00
10
11
00
10
11
00
00
10
00
11
00
01
10
00
11
10
01
10
01
00
00
11
11
10
00
00
10
10
01
10
11
10
00
00
10
00
00
10
10
11
01
10
01
01
01
01
00
10
01
00
10
00
10
10
10
00
00
00
10
00
01
00
11
10
10
10
10
10
11
11
01
00
10
10
00
11
10
01
01
00
11
11
01
10
10
00
01
00
10
10
11
00
00
00
00
11
00
00
00
11
10
11
00
10
00
00
10
10
11
00
10
10
10
00
10
10
00
10
11
00
00
10
00
01
00
01
00
11
10
11
11
00
10
10
11
10
11
01
11
01
00
10
11
10
11
01
00
11
00
10
10
10
00
11
01
00
00
10
10
10
01
01
10
01
01
00
00
00
10
11
10
00
00
00
00
00
01
10
10
00
10
10
10
10
00
01
10
10
00
11
01
01
10
11
00
00
10
10
11
10
00
00
00
01
01
10
01
10
00
00
00
11
00
00
11
10
01
11
10
10
00
01
00
00
10
10
01
00
00
00
01
01
01
11
11
01
01
11
00
11
10
00
01
11
11
01
01
11
01
00
00
00
11
11
11
01
00
01
11
10
11
01
01
00
00
10
00
01
10
10
00
01
00
10
10
10
01
01
00
01
10
11
11
10
10
01
11
10
00
00
11
11
00
11
10
01
11
00
00
00
11
00
11
10
10
00
10
01
10
10
00
00
00
10
11
10
10
00
01
01
10
00
10
00
00
00
00
00
10
10
00
10
00
11
00
10
00
01
11
00
00
10
00
01
11
01
10
11
10
10
00
01
01
10
00
00
00
00
10
10
00
10
10
01
01
11
00
00
10
00
00
00
00
10
00
00
11
11
11
10
10
00
01
00
11
10
00
00
00
11
00
00
11
11
01
00
11
01
10
10
10
10
00
00
10
10
01
00
00
10
01
10
00
10
10
11
00
00
00
10
10
10
00
00
10
01
01
00
10
11
00
11
01
10
11
00
10
00
11
11
01
01
00
00
11
00
10
11
10
00
01
10
01
10
10
01
10
01
00
11
10
00
10
10
10
00
00
10
10
00
10
10
00
00
11
00
00
11
01
10
10
00
10
00
10
00
11
00
10
10
11
00
10
00
00
10
00
00
10
11
01
10
10
00
10
10
00
11
10
10
00
00
01
00
01
11
10
10
10
00
01
10
11
10
00
11
10
11
01
10
11
11
00
10
00
00
10
01
00
10
11
10
10
11
00
00
00
00
00
00
01
10
01
00
10
10
10
10
10
11
00
11
10
01
00
10
11
10
00
00
10
01
00
01
11
01
01
00
01
01
00
01
11
11
00
10
10
11
00
01
10
10
01
10
00
10
01
01
01
11
00
10
11
10
10
00
00
11
10
11
11
00
01
10
10
10
10
00
00
00
11
11
00
00
01
11
10
00
10
10
00
10
00
00
01
10
00
01
10
10
00
00
10
10
10
00
00
10
11
00
11
10
10
00
10
10
00
00
10
00
00
11
10
10
11
10
10
11
00
00
00
01
01
10
10
10
11
00
10
00
00
10
10
00
00
10
10
11
10
00
11
11
00
11
10
01
00
10
10
00
01
10
00
00
11
10
01
11
11
00
00
11
00
01
10
10
01
11
00
00
00
00
11
00
01
10
10
10
00
10
00
10
11
10
01
00
00
00
10
10
11
10
00
01
00
00
10
01
01
10
11
10
00
01
10
01
11
01
10
00
00
10
10
00
00
11
00
11
01
10
01
00
00
11
10
01
00
10
10
10
00
10
10
00
10
10
10
10
00
01
00
11
10
00
10
10
00
00
10
10
10
01
00
10
00
10
00
00
11
00
01
00
01
10
01
01
01
01
10
00
00
10
10
00
01
10
11
10
10
11
11
01
01
01
01
11
01
01
10
10
10
11
00
00
11
00
11
10
00
01
00
11
00
10
11
11
01
00
10
11
00
11
01
00
10
10
10
01
01
10
01
10
10
11
00
00
10
01
01
00
10
11
10
11
10
10
00
10
01
01
00
10
10
00
01
00
11
00
00
11
10
11
00
10
11
00
01
01
00
11
11
11
11
10
00
10
10
00
00
10
11
10
11
00
01
00
01
10
10
00
00
00
10
11
00
00
00
01
10
10
11
01
00
00
11
10
10
00
00
10
11
11
10
00
00
11
10
10
10
01
10
10
10
10
11
11
10
01
10
10
00
01
00
00
10
10
01
01
00
11
11
10
00
11
01
00
10
10
00
00
01
00
10
11
10
11
00
00
10
10
11
00
00
10
00
00
10
00
00
00
00
01
11
10
01
10
01
11
11
00
11
10
01
00
00
10
10
00
10
10
00
01
00
00
10
00
11
00
10
10
11
01
01
00
11
00
00
00
11
11
00
11
10
10
00
10
00
01
10
00
10
10
10
10
10
11
11
01
00
00
11
01
00
11
10
00
10
00
10
00
00
00
00
01
00
00
11
00
10
11
01
00
10
00
11
11
10
01
00
11
10
10
01
11
00
00
11
10
11
10
10
10
10
00
00
01
10
10
10
10
00
11
10
01
10
00
10
00
01
10
00
00
00
00
01
00
10
10
10
00
10
10
10
11
10
10
10
10
10
00
10
10
10
11
01
11
00
00
10
00
00
10
01
00
10
10
10
00
10
10
00
01
11
01
10
00
00
10
01
00
10
10
00
00
10
11
00
01
10
01
10
10
11
00
00
10
00
11
00
00
10
01
01
10
10
00
01
00
10
10
10
10
00
00
00
10
00
10
10
00
11
01
01
00
10
11
00
10
01
01
10
00
01
01
00
01
10
01
10
11
00
11
01
00
10
10
00
00
10
10
10
10
01
00
10
00
00
10
01
00
11
00
01
00
10
01
01
11
11
10
01
10
11
00
10
00
00
00
11
00
00
00
11
11
00
10
11
10
10
10
11
10
01
01
00
10
01
10
10
01
00
10
10
11
11
01
01
01
10
01
00
10
11
00
10
01
00
11
10
00
01
01
00
11
00
01
00
11
10
00
10
10
00
00
00
10
00
01
11
10
10
10
00
11
10
01
01
10
10
10
00
11
00
01
00
11
11
00
00
01
00
11
10
00
10
10
01
10
10
00
10
00
10
10
01
10
10
01
10
10
00
11
10
00
00
00
01
00
10
10
11
01
00
11
01
10
00
10
10
01
01
11
00
00
01
00
00
11
10
00
00
01
10
10
00
00
10
01
00
00
00
11
00
11
00
10
00
00
01
10
00
01
10
10
00
01
10
00
00
11
11
00
10
01
01
10
00
01
10
11
00
00
10
10
11
00
11
10
01
11
00
01
10
00
00
10
00
01
10
01
01
10
11
01
10
00
01
10
10
10
00
10
11
01
10
11
01
10
10
00
01
10
10
10
10
10
10
11
01
10
01
00
11
00
10
00
01
10
00
10
10
01
10
10
11
11
00
11
11
01
01
00
00
10
11
01
01
00
10
00
00
10
00
00
01
00
00
10
11
11
11
10
00
01
10
11
11
00
00
00
00
10
11
01
01
10
00
00
01
10
10
10
00
00
00
01
01
11
10
00
01
00
00
00
10
10
10
00
10
00
00
10
10
00
00
00
11
00
01
11
10
11
10
01
01
01
10
00
00
11
01
01
11
10
00
10
10
00
01
01
10
10
01
10
00
00
10
10
11
00
00
01
01
10
11
00
10
00
10
10
10
00
01
00
11
11
00
10
00
01
10
01
01
11
00
01
10
11
01
00
00
11
10
00
10
00
10
11
10
01
00
10
10
10
00
10
10
10
00
00
10
00
11
10
10
00
01
11
10
01
01
11
11
01
01
11
00
01
10
00
01
10
10
10
11
00
10
10
11
10
01
00
00
00
10
10
10
01
00
10
10
00
11
10
10
00
11
10
11
00
00
00
11
01
10
10
00
01
01
10
00
00
10
10
10
10
10
01
10
11
10
00
00
01
00
10
01
00
00
11
00
00
01
10
10
11
00
00
10
00
11
11
10
01
11
11
10
11
00
11
00
10
10
01
00
11
10
00
10
10
01
01
00
11
01
00
01
00
00
10
10
00
01
01
01
00
10
00
10
10
00
10
10
11
00
10
00
01
11
00
01
10
10
00
10
00
10
11
10
00
11
00
00
10
11
01
00
10
00
10
10
10
00
10
10
10
10
10
10
11
00
00
10
10
01
10
00
01
10
00
10
10
00
10
10
00
00
00
00
11
11
11
00
11
10
10
00
00
11
10
11
01
01
10
10
00
00
10
10
01
00
11
11
00
00
00
01
01
00
11
00
01
00
01
11
11
00
00
11
00
00
10
10
01
10
01
01
00
10
10
11
10
00
01
11
11
01
00
01
10
10
00
10
11
00
01
10
10
01
00
10
10
00
01
01
00
11
00
11
10
10
10
10
10
01
00
10
11
01
00
10
00
00
01
00
10
11
00
00
00
00
00
11
11
01
01
10
11
01
00
10
10
00
01
00
01
10
10
01
00
01
11
01
01
10
00
01
01
11
00
00
10
00
11
01
00
01
11
10
00
00
11
10
10
01
11
00
11
00
00
10
01
01
10
10
00
00
10
00
00
00
10
10
11
10
00
10
00
00
00
01
10
11
10
01
10
00
00
10
01
00
10
11
11
11
01
00
00
10
00
10
10
00
11
00
10
10
01
01
11
10
00
00
00
00
11
10
00
00
11
00
11
00
01
01
00
00
10
10
00
10
10
00
10
10
00
10
00
00
11
01
01
10
11
01
00
10
10
00
00
01
10
10
11
01
00
10
10
11
01
00
01
01
01
01
00
10
10
11
01
01
11
10
01
10
10
10
00
00
10
10
00
00
10
10
00
00
11
10
00
11
10
10
10
11
00
00
10
10
00
10
00
11
10
00
00
11
00
00
00
00
01
11
11
11
01
00
10
00
10
10
10
01
00
10
00
10
10
00
10
00
00
10
01
01
01
00
10
10
00
00
00
11
10
11
00
00
10
11
01
00
01
00
10
10
00
10
00
01
10
01
00
10
00
10
10
01
01
10
10
10
10
00
00
00
10
10
00
00
10
00
01
10
01
00
01
11
10
00
00
01
10
10
00
10
00
11
11
00
01
10
10
10
00
10
11
00
00
00
00
10
10
11
00
11
11
01
11
11
10
00
10
10
00
01
10
10
10
01
00
11
01
00
11
10
10
00
10
10
00
01
10
10
00
00
10
00
10
10
10
01
00
00
10
00
10
11
11
00
00
11
10
01
11
10
01
11
11
00
00
10
10
11
00
00
00
10
00
01
00
01
10
00
00
01
01
10
11
01
11
00
01
00
00
01
11
10
01
00
10
00
00
11
10
00
00
10
10
01
10
00
10
00
10
00
10
11
10
01
11
01
00
00
01
11
10
00
01
11
11
01
10
01
00
10
00
00
10
10
00
00
00
00
10
00
01
10
11
00
10
00
00
00
01
00
10
10
10
10
00
00
10
01
01
10
01
01
11
11
10
00
11
10
01
11
00
01
10
11
10
01
11
11
01
00
11
00
00
10
10
00
01
10
10
10
00
00
10
10
11
10
11
01
10
10
10
00
00
01
10
10
00
00
10
10
00
10
00
10
10
00
00
10
01
10
10
11
10
00
00
00
11
10
00
00
00
10
00
00
00
11
00
10
00
01
10
11
10
10
10
00
00
00
11
00
00
10
10
01
00
10
10
01
10
01
10
01
11
01
00
10
10
01
00
11
00
00
10
10
00
00
01
10
01
01
00
10
00
00
10
10
00
10
00
00
10
11
11
00
10
11
01
10
11
01
01
01
10
10
00
00
10
11
01
00
01
01
11
00
00
00
10
11
00
00
10
00
00
00
11
00
10
10
10
00
00
10
00
11
01
00
11
11
00
10
00
00
01
00
10
11
01
00
01
10
11
00
01
11
01
00
10
00
11
10
01
10
10
00
10
01
11
01
00
00
11
10
00
00
01
11
00
10
11
00
01
11
00
10
01
10
00
11
10
00
10
11
01
00
10
10
00
00
10
10
00
01
11
00
10
10
00
10
00
00
10
10
00
10
01
01
10
01
00
01
00
00
00
10
00
00
10
11
10
10
01
00
10
10
11
00
00
10
00
11
00
00
00
01
10
10
00
01
11
11
01
10
00
01
01
11
01
10
10
00
01
01
10
10
00
01
00
00
10
01
00
00
10
01
00
01
11
10
10
10
11
11
10
10
11
00
00
01
01
00
01
10
11
10
00
11
10
00
01
10
00
10
00
00
10
11
10
00
00
11
10
00
10
00
10
10
00
01
00
10
10
00
10
00
00
11
10
00
00
10
00
11
11
00
00
11
00
10
10
00
11
10
00
10
01
10
11
00
00
11
00
00
00
10
10
10
10
01
01
11
00
00
10
10
10
11
00
10
10
01
10
00
10
11
10
10
00
00
01
10
10
00
10
10
00
01
10
10
00
10
01
00
00
00
10
10
00
00
00
01
11
10
01
10
01
00
10
10
00
00
10
00
01
10
00
00
10
11
11
10
10
01
11
01
10
10
00
00
01
10
11
00
10
10
01
00
01
11
10
10
00
01
10
10
00
10
01
10
10
00
00
00
01
01
11
10
00
10
11
11
00
10
00
10
11
00
00
01
01
10
11
00
10
00
00
11
01
00
11
10
11
00
00
11
00
00
10
10
01
00
00
11
00
11
01
11
11
10
01
01
10
10
00
01
00
11
10
01
10
00
10
10
01
00
01
10
11
10
00
11
00
11
00
10
10
00
00
10
10
10
11
01
00
11
00
00
10
11
10
00
10
10
00
00
00
11
00
10
00
00
10
00
01
00
00
10
00
11
11
10
10
11
00
00
10
00
01
10
10
10
00
01
01
11
10
11
10
00
00
01
10
01
10
10
10
11
11
10
10
01
10
10
01
11
10
10
00
00
10
00
00
10
11
01
10
11
01
00
00
10
00
11
00
01
00
10
10
10
01
10
00
01
01
00
11
00
11
00
00
10
11
01
00
01
00
00
11
11
01
10
11
01
01
00
01
10
11
00
00
00
11
00
00
10
00
10
11
10
01
00
01
01
10
10
11
10
00
00
10
01
10
00
10
01
11
00
10
10
00
01
10
01
01
01
11
00
01
01
00
10
10
00
01
11
10
10
00
11
00
00
10
10
00
01
10
01
00
10
10
00
11
11
00
01
00
10
01
10
11
10
00
00
01
10
00
10
10
00
00
00
10
00
01
00
00
00
10
11
00
10
01
00
01
00
10
10
00
00
00
10
01
01
10
10
00
10
10
11
00
10
11
11
00
10
01
11
00
00
10
01
00
10
10
00
11
10
10
11
11
01
01
00
10
00
00
10
10
00
00
00
01
01
10
10
10
00
10
10
10
10
10
00
10
11
00
00
10
00
00
00
01
10
11
10
10
00
01
10
00
10
01
11
11
01
00
01
10
00
10
10
01
01
01
10
01
10
01
10
01
00
10
11
00
00
10
00
00
10
10
00
11
10
11
00
01
00
00
10
00
00
00
11
10
10
00
10
00
01
10
10
10
00
11
10
01
10
10
01
00
10
00
00
10
00
01
00
11
10
10
10
01
00
00
00
10
00
11
01
00
00
10
10
01
01
11
10
00
10
01
10
00
00
00
11
00
10
01
11
00
10
00
00
10
11
01
11
00
11
10
10
00
00
10
10
00
01
00
01
00
00
10
11
10
10
01
10
00
00
11
10
10
11
10
01
11
01
11
11
10
11
00
00
11
10
00
00
10
01
10
10
00
10
00
11
00
10
11
00
00
00
10
10
11
10
01
00
10
00
00
10
10
00
11
00
11
01
01
01
10
11
10
00
00
00
11
10
10
10
01
00
11
11
11
00
11
10
00
11
10
00
00
01
10
00
01
00
01
10
01
10
00
00
11
01
00
00
00
01
10
11
10
11
00
10
01
01
00
01
10
11
10
01
01
10
00
01
01
10
11
00
10
00
00
10
10
10
01
11
10
10
00
10
01
10
10
10
00
00
00
01
00
01
10
00
10
10
00
00
01
10
00
00
11
10
10
01
10
00
10
01
00
11
11
00
10
11
00
11
00
01
10
10
00
10
11
00
00
10
00
00
10
11
10
00
10
11
01
11
11
00
01
00
10
01
10
11
10
11
00
01
10
00
00
11
11
00
00
11
10
10
00
01
11
11
10
10
10
00
00
01
01
11
10
11
00
00
11
00
11
10
10
01
00
00
10
01
00
10
10
10
01
01
10
10
10
10
00
00
10
01
00
00
00
10
00
10
00
10
10
11
00
00
01
00
01
00
10
11
00
10
11
10
01
00
10
00
00
00
01
10
10
00
10
10
11
11
00
00
10
11
10
10
00
00
11
01
10
10
00
00
10
10
00
00
10
11
11
10
01
11
00
10
11
10
01
00
00
00
10
00
01
10
11
10
10
11
11
00
01
11
00
00
11
10
01
10
10
10
10
00
10
01
00
01
10
01
11
10
11
00
10
00
01
10
10
00
00
00
00
10
10
00
10
10
10
00
00
00
00
01
11
11
00
10
10
01
00
11
11
00
00
11
10
10
10
00
00
00
10
10
10
00
10
10
00
00
00
11
00
01
10
11
00
11
00
00
01
01
11
10
10
00
11
10
01
01
10
11
10
01
10
11
10
10
10
01
10
01
01
10
00
01
10
00
10
00
00
10
01
10
00
00
01
11
11
01
00
01
10
01
00
00
11
11
00
01
10
11
10
00
10
00
00
11
00
00
00
11
11
00
01
10
10
11
10
00
10
00
01
10
11
00
00
00
10
10
00
01
11
00
00
00
10
11
11
11
01
00
00
00
10
00
00
10
10
10
01
00
01
11
10
00
00
01
00
10
01
10
10
00
10
00
10
00
11
10
00
11
10
10
00
10
00
10
00
01
00
00
10
00
00
11
10
00
10
11
01
10
11
01
10
00
00
00
00
00
10
11
00
01
00
00
10
01
11
11
10
00
01
10
00
00
00
10
10
10
00
10
10
10
11
00
10
01
01
00
10
00
11
10
11
01
00
10
10
10
01
10
10
01
00
10
01
00
10
10
00
11
11
10
11
00
01
01
00
11
01
10
00
00
00
11
00
00
11
00
01
10
01
00
11
11
00
00
10
10
00
10
01
01
10
00
01
01
01
10
10
10
00
01
10
10
00
00
01
00
11
01
00
11
01
10
10
00
00
10
00
10
11
11
01
10
00
00
10
00
01
10
00
11
11
10
01
00
10
10
00
10
10
00
00
10
11
10
11
10
10
00
10
11
11
00
00
11
01
10
10
00
00
10
01
00
00
11
00
11
11
10
11
00
00
10
00
10
10
00
01
10
10
00
11
01
00
10
11
01
11
01
11
11
10
00
01
10
01
01
11
10
11
11
10
00
00
00
10
00
00
00
00
00
10
10
10
00
00
11
11
11
00
10
01
01
01
11
11
00
01
11
00
01
10
11
01
01
11
00
01
00
11
01
11
10
00
11
10
00
00
00
11
10
00
10
00
10
00
00
10
01
01
01
10
10
00
00
10
00
00
10
10
01
10
00
00
00
00
10
10
10
10
11
11
10
00
11
10
00
01
11
11
00
01
01
10
10
00
00
10
00
00
10
01
00
11
10
10
10
00
10
00
01
10
01
01
10
10
00
00
10
01
10
11
11
01
11
11
01
00
11
10
10
00
11
10
00
11
11
00
00
01
11
01
01
00
00
01
10
10
11
00
01
00
00
10
10
11
11
01
00
01
00
10
10
10
01
00
11
00
01
10
11
00
00
01
11
10
01
01
11
00
10
10
00
10
10
00
01
01
00
10
01
01
11
00
10
10
00
00
01
10
10
01
00
10
10
11
00
00
10
00
00
10
10
01
10
00
00
11
10
01
00
01
11
10
10
00
00
10
01
00
10
10
11
01
10
01
00
10
00
10
10
10
00
00
00
10
01
00
00
00
10
10
11
10
01
00
00
10
00
11
10
11
01
01
11
10
00
01
00
10
10
00
00
10
00
00
00
10
10
11
11
01
10
10
10
00
10
00
00
01
11
11
00
11
10
01
01
00
11
10
01
00
11
00
11
10
11
00
10
11
00
11
10
10
01
00
10
00
11
11
00
11
10
11
10
10
01
00
00
00
01
10
10
01
00
10
10
11
00
10
01
00
10
10
00
01
00
11
10
11
10
00
00
01
10
00
01
10
01
00
11
00
11
01
10
00
01
10
01
01
10
10
01
10
11
00
00
10
00
00
10
00
10
00
01
11
00
10
10
00
10
00
00
11
00
01
01
11
00
10
10
10
01
01
00
00
10
00
01
00
11
10
01
10
00
10
01
01
00
10
10
01
00
10
11
01
11
01
01
10
00
00
10
00
11
11
00
00
00
00
00
10
10
00
11
11
00
11
10
00
10
11
10
11
00
00
01
11
11
10
00
00
00
10
10
00
00
11
01
11
00
00
11
00
10
01
11
10
00
01
11
10
11
00
10
10
01
10
00
00
11
10
10
00
11
11
01
00
00
11
01
01
00
10
10
00
00
00
10
11
00
00
00
10
01
10
01
01
11
10
10
10
10
00
01
11
10
10
01
01
01
01
00
10
10
01
10
10
01
00
00
10
10
00
00
10
10
10
10
10
10
10
00
00
11
10
00
10
00
10
10
11
00
11
00
00
01
01
10
00
01
10
10
00
10
01
01
00
10
11
01
00
01
10
01
00
00
10
10
10
00
01
10
01
00
10
10
10
00
11
10
01
00
10
10
00
01
10
10
10
00
00
01
00
01
10
10
11
10
00
01
00
10
11
11
10
01
11
01
10
00
10
11
00
00
00
11
10
01
10
00
00
10
00
00
00
10
00
10
10
00
01
10
01
00
00
00
01
01
00
10
10
01
10
10
01
01
01
00
00
00
10
00
00
11
11
11
00
01
01
10
01
01
11
10
01
01
11
00
00
11
00
11
00
10
11
10
11
00
01
10
11
01
10
00
00
10
00
11
10
11
00
00
10
00
10
01
11
11
00
11
10
00
00
11
10
01
00
10
00
10
10
11
10
11
10
10
01
01
10
00
00
10
10
10
10
01
00
00
11
11
10
00
00
10
10
00
00
00
10
00
10
00
11
11
11
01
11
10
01
10
00
00
11
10
00
01
10
00
00
01
10
11
00
00
00
00
00
01
10
11
10
10
01
01
00
11
10
10
00
11
00
01
10
11
10
00
10
00
10
00
11
10
01
00
00
01
01
01
10
00
00
11
10
00
10
10
10
00
10
00
11
01
10
01
01
00
11
10
11
10
01
00
10
11
11
11
00
00
11
00
11
11
01
00
00
10
10
00
00
01
10
01
00
10
00
10
01
00
10
10
00
10
11
10
10
10
00
00
00
00
01
10
10
00
01
10
11
10
11
00
00
11
10
10
00
00
10
10
10
00
10
11
11
01
11
10
11
10
00
00
10
10
00
00
00
00
10
11
11
00
00
01
10
00
11
10
01
01
10
11
01
00
00
11
10
00
10
11
10
11
00
00
01
00
01
10
10
10
00
10
00
10
11
01
11
00
11
10
00
00
10
11
00
01
01
11
10
00
01
00
00
00
10
10
10
10
11
00
10
00
00
00
10
10
01
10
00
00
00
01
10
10
00
00
01
10
00
00
11
01
11
10
11
10
00
10
10
01
01
10
11
10
10
01
11
11
00
10
11
11
00
00
00
10
00
01
10
01
00
10
00
00
01
11
10
10
01
00
11
00
11
11
00
00
00
00
01
10
10
11
10
00
00
10
01
10
00
10
11
00
11
10
11
01
00
11
00
01
10
10
10
10
10
01
01
10
00
10
10
00
01
01
11
00
01
00
01
10
01
10
10
10
00
01
11
10
00
00
00
11
00
00
00
00
10
00
10
11
01
10
11
11
00
10
11
10
00
00
11
01
00
10
10
01
11
10
10
10
00
10
00
00
00
10
01
00
00
11
00
11
10
00
11
10
11
11
10
01
01
10
00
00
10
00
00
11
10
01
00
00
10
01
00
10
01
11
01
00
00
01
11
10
00
00
10
10
10
10
00
11
10
01
01
00
00
00
01
00
01
10
00
10
10
10
10
10
01
10
10
11
10
10
10
11
10
10
01
01
00
01
01
00
11
00
00
11
11
00
10
00
10
10
00
00
01
10
00
01
00
00
00
01
10
01
11
10
01
10
01
11
10
00
00
01
11
01
11
11
10
00
00
11
00
00
00
10
00
01
10
10
11
11
00
01
00
00
00
10
10
11
11
00
00
10
11
00
10
10
00
00
00
11
11
00
00
00
01
00
01
11
10
10
01
01
00
10
10
11
11
00
01
11
11
00
10
10
00
01
11
00
00
10
01
00
11
00
11
10
11
10
00
00
00
11
10
11
01
00
10
11
00
00
10
10
00
10
00
00
10
11
00
00
01
11
00
01
00
11
00
00
00
00
11
10
10
00
00
11
11
00
01
10
11
00
00
10
11
11
10
00
01
10
10
11
01
01
00
00
11
10
00
00
10
10
10
11
10
01
10
01
00
10
10
00
01
10
00
00
10
10
11
10
10
10
10
00
10
11
00
11
00
01
10
10
10
00
01
11
00
00
00
00
10
00
11
00
01
00
01
11
11
11
11
10
01
10
10
00
01
11
00
10
10
01
10
10
10
10
00
01
10
00
10
10
01
01
10
00
10
10
01
10
11
01
00
11
00
00
01
10
10
10
10
00
01
10
00
10
11
00
01
10
10
00
10
10
10
01
01
00
00
01
00
10
00
10
00
00
11
01
11
11
01
00
01
10
00
00
01
10
11
00
11
10
01
00
01
11
10
01
00
10
10
11
10
10
00
00
00
10
10
00
00
11
00
11
00
11
00
10
11
10
10
00
01
11
11
10
10
00
10
10
00
01
10
00
00
11
01
00
00
10
10
10
10
00
10
00
10
01
01
00
10
10
00
01
10
10
10
10
11
10
01
01
11
00
11
00
11
10
00
00
00
00
10
10
00
01
10
10
11
00
11
11
11
00
11
00
11
11
10
01
00
11
11
00
01
11
10
01
10
10
00
00
10
00
00
11
10
10
11
10
00
00
00
00
10
10
10
10
00
00
01
10
10
00
10
11
00
01
00
00
10
01
10
11
00
00
11
00
10
01
10
01
00
10
00
10
11
10
01
01
10
11
00
00
11
10
01
01
10
10
01
00
00
01
10
11
10
11
01
00
00
11
11
00
10
00
01
01
00
10
10
00
00
11
10
00
01
10
01
01
11
10
01
00
10
10
10
11
01
01
00
00
11
10
00
11
00
00
10
11
10
11
00
00
11
11
10
00
00
10
00
00
11
01
10
10
10
11
00
00
11
11
11
10
11
10
10
01
10
00
01
11
00
10
10
00
00
11
10
00
00
11
00
10
10
10
01
10
10
00
00
00
10
11
11
00
10
10
01
11
00
10
10
00
10
11
10
00
00
10
00
10
10
10
00
11
01
10
00
00
01
01
10
11
11
10
01
01
01
00
00
00
01
10
10
10
00
10
11
11
10
10
10
01
10
10
00
00
00
11
11
01
11
01
01
10
00
00
10
10
00
01
10
11
10
10
00
10
11
00
11
11
00
01
01
01
01
01
00
00
10
00
00
11
00
01
10
11
00
10
01
11
11
00
11
10
01
10
10
00
01
10
11
00
00
11
11
11
01
10
11
10
00
10
00
10
10
00
01
00
10
01
00
00
10
10
11
01
00
10
10
00
01
10
01
00
00
00
01
10
00
01
10
11
10
00
00
00
11
00
10
00
11
01
10
01
01
11
00
11
10
10
00
00
00
10
01
00
10
10
10
10
00
00
00
10
11
00
00
00
00
00
11
10
10
01
00
01
10
11
01
00
11
11
00
01
10
10
10
11
00
00
01
00
11
00
00
10
10
00
00
10
00
01
01
11
10
10
10
10
00
00
11
10
11
10
01
01
10
01
00
11
01
01
01
00
11
10
01
11
10
10
00
10
10
00
00
00
01
10
00
00
01
10
11
01
01
11
10
00
01
10
00
01
11
10
10
01
00
10
01
01
10
11
10
00
00
00
10
11
00
00
00
01
01
00
10
00
00
01
00
11
00
10
00
10
01
01
10
10
10
10
10
10
00
00
01
10
11
01
11
10
01
10
00
11
11
00
00
10
01
10
10
10
11
00
00
10
11
00
00
10
11
00
11
10
00
00
01
00
11
10
00
10
11
10
01
11
10
01
01
10
00
10
10
00
10
00
01
00
00
00
10
10
10
10
10
10
10
01
01
10
10
01
01
01
00
10
10
10
00
11
01
00
10
00
00
00
10
01
11
00
00
11
01
11
11
11
10
01
00
00
11
11
00
01
10
01
11
00
11
10
11
00
11
00
10
10
01
00
10
11
00
10
10
10
00
10
10
00
10
11
10
10
10
00
10
00
01
10
10
01
01
01
01
00
01
00
10
01
00
11
10
11
01
10
10
01
11
11
00
00
10
11
00
10
00
00
01
01
11
00
11
00
10
01
01
00
11
10
11
11
00
10
10
11
01
11
00
10
10
10
00
00
10
00
01
11
01
00
11
10
10
11
01
10
00
01
10
10
00
00
10
10
10
00
00
00
11
01
10
00
10
00
00
10
00
10
01
01
11
00
11
00
00
00
10
11
10
00
01
10
10
10
11
00
00
10
10
10
10
00
00
00
11
10
10
01
11
11
11
01
00
10
11
00
00
11
10
00
01
11
10
01
01
10
10
00
01
10
11
01
00
00
10
00
10
10
00
10
10
00
11
00
10
00
10
01
11
01
00
11
10
00
10
10
00
00
10
00
00
10
10
11
00
10
10
10
00
00
11
00
11
10
10
11
11
10
00
11
11
00
01
10
10
11
00
00
10
00
10
10
10
00
00
10
10
10
10
01
11
00
01
10
11
10
00
01
11
01
00
00
10
10
10
10
01
00
10
10
00
10
11
01
00
11
10
11
10
11
10
01
01
11
10
00
10
01
10
10
00
11
10
00
10
00
10
01
01
10
10
10
10
10
10
00
10
10
00
10
01
10
11
10
11
00
00
00
00
00
00
01
10
10
01
10
10
10
11
01
00
00
01
10
10
10
10
11
11
10
00
11
01
10
10
00
01
01
10
11
00
10
11
11
01
00
10
10
10
00
00
00
10
11
00
00
00
01
00
10
11
00
01
10
01
00
00
00
00
10
00
10
10
10
00
01
00
01
00
00
00
10
10
00
10
10
10
00
11
00
00
10
01
01
11
00
10
11
00
00
01
00
11
10
00
11
10
01
01
00
00
00
00
00
01
10
10
00
11
00
00
00
11
11
10
10
00
10
10
00
10
00
01
10
00
10
01
01
11
00
00
00
01
11
00
00
00
10
11
00
00
10
01
00
11
10
10
10
01
10
00
00
10
11
11
10
11
00
00
11
11
01
01
00
10
10
00
10
10
00
11
00
01
01
00
10
10
11
00
00
00
00
01
10
00
00
00
00
11
10
10
00
11
10
01
00
10
10
00
10
00
10
10
11
00
10
00
10
01
00
00
11
11
01
11
00
10
11
01
01
10
10
00
01
00
11
10
01
10
01
01
01
00
11
10
01
10
11
00
01
10
11
10
00
10
00
00
11
01
00
10
10
10
10
10
00
10
00
10
11
00
10
11
01
00
00
00
10
00
11
10
00
10
00
00
00
01
10
10
10
00
00
10
10
10
01
00
10
01
01
10
10
01
11
01
00
11
00
00
10
00
10
10
00
00
01
01
00
01
00
00
00
00
11
01
11
10
01
10
10
11
01
00
00
10
10
10
11
00
01
00
10
11
10
00
01
10
11
11
00
00
00
10
10
10
00
00
10
10
01
00
10
10
10
10
00
10
10
10
11
00
01
10
11
00
10
11
00
00
10
00
00
01
00
01
01
10
10
00
00
00
00
11
10
11
10
00
00
10
00
00
10
10
00
10
10
01
01
10
10
00
00
11
00
10
11
01
00
00
00
00
11
10
00
10
01
11
10
00
11
00
00
11
11
10
11
00
10
00
01
10
11
00
01
01
10
10
01
10
10
10
00
00
00
01
10
10
01
00
00
00
10
10
10
10
00
00
01
00
01
00
10
11
11
10
10
01
00
11
01
11
01
11
10
00
00
10
01
00
10
11
00
00
00
00
10
10
00
00
01
01
11
00
00
00
11
10
10
10
00
10
00
11
01
10
10
10
01
01
10
00
11
10
10
00
00
01
00
10
10
00
00
10
10
00
01
01
10
00
10
00
01
10
00
10
10
11
11
00
01
10
01
00
01
01
10
11
10
11
01
10
00
01
11
00
00
11
01
10
10
00
00
01
11
00
00
11
01
10
00
11
11
01
10
10
10
00
00
00
00
10
11
00
10
10
10
10
11
00
00
10
10
11
11
00
00
01
11
10
01
01
11
00
10
11
00
00
10
10
10
00
01
00
10
11
11
01
00
00
10
00
00
01
00
10
10
01
10
11
11
10
00
00
10
00
01
00
10
00
01
01
00
10
00
00
10
11
11
00
00
01
00
10
00
01
10
01
10
00
11
01
10
01
10
10
00
00
00
10
10
01
00
00
00
01
11
10
01
10
10
10
10
00
01
11
11
00
10
00
00
11
10
00
01
00
00
11
10
01
00
11
00
10
10
11
00
00
00
10
11
00
01
10
00
00
10
11
10
10
00
00
00
00
00
10
10
01
01
10
11
11
10
00
10
10
00
00
10
10
00
00
10
10
10
00
01
10
00
10
11
11
00
11
10
10
00
10
00
01
00
10
00
00
00
00
00
10
10
10
01
00
01
00
01
01
00
01
10
00
10
10
01
10
01
00
10
10
11
00
00
11
11
00
01
00
00
01
10
10
10
00
00
00
11
00
10
10
11
11
10
11
10
00
00
11
10
00
01
00
01
00
10
10
11
10
01
00
10
01
10
00
10
01
00
11
10
01
00
10
01
11
01
10
11
01
01
00
10
00
00
00
00
10
01
01
10
11
11
00
10
10
00
11
10
10
10
00
00
00
00
01
01
10
10
11
00
00
01
10
10
01
10
10
11
00
00
10
10
11
00
01
01
00
00
00
10
00
01
10
10
01
00
01
00
00
01
10
00
01
10
11
10
00
00
10
11
11
11
00
11
11
00
00
10
00
01
10
00
10
11
00
10
10
10
10
01
10
11
10
10
00
00
00
01
10
11
00
01
00
00
00
01
10
10
10
10
10
10
01
01
10
00
00
00
00
11
10
10
00
00
10
00
01
10
10
01
10
10
10
00
00
01
00
10
01
00
10
11
10
01
11
01
11
10
00
11
10
00
11
11
10
00
10
01
00
10
10
11
00
10
01
10
11
00
00
10
10
10
00
00
11
00
00
00
11
00
10
11
00
00
01
01
11
00
11
00
11
10
00
10
10
10
00
01
10
11
00
00
01
00
00
10
11
00
00
11
10
10
10
01
00
01
11
01
00
10
00
10
11
00
10
00
10
00
10
00
00
00
10
10
01
10
00
00
00
01
00
10
10
01
10
00
11
00
11
00
00
10
10
01
00
10
11
10
00
00
11
10
10
00
11
10
00
00
00
11
11
11
01
00
00
10
00
00
10
10
00
11
00
01
01
00
00
10
00
00
10
10
11
01
11
00
11
11
10
10
00
01
10
10
01
01
00
10
10
10
00
01
10
10
01
10
00
00
11
11
11
01
00
01
00
10
01
11
10
01
11
00
10
01
00
11
10
10
01
11
10
00
10
10
00
10
00
00
00
11
00
00
01
10
11
10
01
01
00
11
01
10
10
10
10
00
00
00
01
10
10
00
11
00
11
00
00
00
10
10
10
01
11
11
01
10
11
01
10
01
00
10
10
01
10
10
10
01
01
10
10
00
11
01
10
01
11
11
00
00
10
10
10
00
00
10
10
00
00
11
00
11
00
10
10
11
11
10
10
00
11
01
11
01
00
10
11
00
01
11
10
00
00
10
10
10
01
00
10
10
01
11
11
10
10
00
10
11
00
00
11
00
01
00
10
10
00
01
00
10
11
10
10
11
00
00
01
10
10
10
00
00
00
00
00
10
11
00
11
10
11
10
11
00
10
11
01
10
10
10
00
10
11
00
00
10
11
01
00
11
00
00
10
11
10
00
00
10
10
10
00
10
10
00
00
01
01
00
01
01
00
01
10
01
10
01
01
10
10
10
01
10
01
00
01
00
00
00
10
00
00
11
10
01
00
00
11
10
00
01
10
11
10
10
10
10
10
11
00
01
10
00
11
01
00
00
00
11
10
00
00
01
00
10
11
10
10
00
10
00
11
10
00
10
11
00
10
10
10
11
00
01
10
10
00
10
11
00
10
10
10
00
10
10
00
01
00
10
11
00
01
01
00
11
10
11
01
00
00
10
10
01
11
10
10
00
00
10
10
01
00
10
11
11
01
00
10
00
00
00
01
10
10
11
00
00
11
01
10
10
10
01
00
11
01
01
11
00
11
10
00
00
11
11
00
00
10
10
10
01
01
11
10
00
00
10
10
00
00
10
00
10
11
10
01
01
11
10
00
10
00
10
10
01
00
10
11
10
01
00
10
01
00
10
11
11
01
10
10
11
00
10
10
00
10
00
00
00
10
00
00
11
00
11
10
11
00
10
10
10
01
00
10
01
00
10
01
11
00
01
10
01
11
10
01
00
10
11
00
10
01
00
10
10
10
01
11
10
01
10
00
01
10
00
10
10
00
00
11
10
10
11
11
11
00
10
10
00
01
10
00
10
01
00
10
10
00
00
10
00
11
01
10
10
10
10
10
00
00
10
10
00
00
00
01
11
01
10
10
10
11
10
10
00
01
11
10
10
00
00
10
10
10
00
01
10
01
10
10
10
10
10
01
01
01
11
10
00
10
11
10
11
00
01
00
10
00
11
10
01
10
10
10
00
10
10
10
01
10
01
10
10
10
11
00
00
00
10
10
11
00
10
10
10
00
11
01
00
10
00
00
01
10
10
00
00
00
01
10
00
00
10
00
00
00
10
10
10
01
10
11
00
00
00
01
00
11
11
10
01
00
11
10
00
00
00
01
11
10
00
11
00
00
10
00
01
10
11
00
10
11
00
10
10
10
10
01
01
10
00
00
10
00
10
10
00
00
00
11
10
01
10
10
10
10
00
10
10
01
10
10
11
10
00
10
01
00
01
01
10
11
10
01
00
10
11
00
00
10
10
00
00
00
00
11
00
10
00
11
01
11
01
00
11
11
10
10
00
01
11
01
00
10
10
11
00
00
10
11
00
11
10
00
10
10
00
10
10
00
01
00
11
10
11
00
11
10
01
00
10
10
11
10
00
00
10
00
01
00
00
01
10
10
01
10
10
11
00
00
01
11
10
00
10
01
00
10
10
10
10
11
00
10
01
00
01
00
11
00
10
01
00
00
11
01
00
11
00
10
01
00
00
01
10
10
10
00
01
11
01
10
10
00
00
00
00
10
11
00
00
10
11
10
00
00
10
00
01
00
11
11
10
00
11
10
00
10
01
01
10
10
00
00
11
11
00
10
00
01
01
11
11
10
10
11
10
10
00
00
10
10
00
11
00
10
11
00
00
00
00
01
10
00
00
10
10
11
10
00
00
00
00
10
10
11
01
00
00
00
11
10
00
00
11
00
00
00
10
00
00
00
10
00
11
00
10
11
11
00
00
11
01
00
11
00
11
00
10
00
01
11
10
11
00
10
10
01
10
00
01
11
11
00
00
11
11
11
00
00
00
10
00
00
10
11
10
10
00
11
00
10
11
01
11
01
10
00
10
10
00
00
10
10
01
01
00
11
11
10
01
01
11
10
11
10
01
00
00
01
10
00
10
11
00
00
10
11
00
10
00
00
10
10
00
10
10
00
00
10
10
00
00
01
11
01
11
00
01
00
11
10
10
00
01
00
10
01
01
00
00
00
10
11
10
11
00
00
10
01
00
11
00
00
11
10
00
00
00
10
10
01
10
01
10
00
00
00
00
01
11
10
01
11
00
01
00
11
01
11
11
10
11
00
00
00
11
10
00
00
10
11
10
00
00
11
10
11
10
01
10
11
00
01
00
10
11
00
10
00
11
10
10
11
10
00
10
00
11
00
00
00
10
11
10
00
00
00
11
10
10
10
00
01
00
11
10
10
01
00
01
01
10
11
00
01
00
10
10
00
10
00
01
11
00
00
10
10
00
10
01
11
00
11
01
10
11
01
11
00
10
10
00
10
10
00
00
10
00
01
01
00
10
00
00
11
10
11
00
00
10
10
11
11
10
00
00
11
10
11
10
00
00
11
00
10
00
01
11
10
10
11
00
10
10
00
00
11
10
10
01
00
10
11
11
01
10
00
00
10
10
01
00
10
00
00
10
11
00
10
10
10
00
00
00
00
11
01
10
10
11
01
01
00
00
11
01
10
10
01
00
00
00
00
11
00
00
11
10
00
00
11
01
11
00
10
01
00
01
00
11
10
11
01
01
10
00
10
00
11
10
01
10
00
00
11
10
01
00
10
11
01
00
10
01
00
00
10
00
00
00
01
10
00
00
00
01
10
00
10
00
00
11
10
01
11
00
00
00
10
10
01
10
01
01
11
10
00
00
10
01
01
10
01
00
10
10
10
00
11
11
00
11
11
00
11
10
00
00
10
11
10
10
10
11
01
10
00
00
00
10
01
10
11
00
10
10
10
01
01
10
10
11
11
01
11
11
00
00
11
01
01
10
11
00
01
10
00
10
10
00
01
11
00
10
11
10
00
01
10
10
00
11
00
10
11
01
10
10
10
11
00
11
01
00
00
11
00
10
10
00
01
01
11
00
10
10
00
00
00
11
10
01
00
11
11
10
11
11
10
01
10
01
10
10
00
10
10
10
01
00
11
00
01
01
00
10
10
10
00
01
11
10
00
01
00
00
00
10
10
11
01
11
00
11
11
11
11
00
00
10
10
01
00
11
10
01
10
00
01
01
10
10
00
00
01
00
10
01
10
11
00
10
11
00
01
00
10
00
10
11
00
11
10
00
10
00
00
11
10
00
00
10
00
11
01
10
01
00
01
00
10
00
11
11
01
01
00
00
10
10
00
11
10
10
00
11
11
00
00
00
01
10
01
00
11
11
10
01
00
11
10
01
11
10
10
00
10
10
00
00
00
01
00
11
10
00
00
00
10
00
00
10
11
00
00
01
00
01
01
11
11
00
01
01
00
11
00
01
11
10
01
00
00
00
00
10
00
00
11
10
00
10
00
10
11
01
00
10
10
11
10
10
00
00
00
10
00
11
10
00
00
10
11
00
00
00
11
01
10
01
01
00
00
10
10
11
00
01
11
10
01
00
00
10
11
01
00
10
11
10
00
10
10
00
00
10
10
11
11
10
10
00
00
11
00
10
00
00
11
10
11
00
00
10
10
00
01
00
11
10
11
11
00
10
10
01
01
11
10
11
00
10
00
01
00
10
10
00
00
10
10
00
00
01
10
01
00
00
00
00
10
10
10
00
01
01
00
10
11
10
10
10
01
00
10
10
10
01
00
11
00
01
10
01
01
11
00
01
00
11
10
00
01
11
01
00
10
11
10
11
00
00
11
10
10
00
00
10
00
00
10
01
10
00
10
11
01
11
00
01
00
00
10
11
11
11
01
01
00
10
00
01
11
00
01
10
01
10
00
10
10
00
01
00
00
10
10
11
10
10
10
10
00
00
01
00
01
00
10
01
10
11
10
00
00
11
10
10
00
01
01
10
00
11
11
10
00
00
00
01
10
11
11
10
11
00
00
00
10
11
00
10
11
00
10
10
01
11
00
00
00
00
00
00
11
11
11
01
00
00
00
00
00
10
10
00
00
10
10
10
00
11
00
10
10
01
10
11
01
01
00
11
00
00
10
11
00
00
10
01
10
00
10
11
01
10
00
00
10
11
00
00
01
11
00
10
00
11
10
11
01
00
10
10
10
11
11
00
01
01
10
01
10
11
00
00
11
10
10
00
00
10
00
00
01
11
10
00
00
11
00
10
11
01
00
10
11
01
00
10
10
00
11
01
00
11
11
00
10
00
01
01
00
10
00
10
01
00
10
10
11
10
10
10
11
10
01
11
00
01
00
00
10
11
10
01
10
00
10
01
00
10
00
00
11
10
11
10
00
10
11
01
00
01
10
00
00
11
10
00
00
11
11
00
10
11
00
10
10
01
00
10
01
01
00
00
10
00
00
00
10
10
10
00
01
10
11
10
10
11
00
01
10
00
00
10
10
10
00
11
10
10
01
00
01
10
00
00
00
01
00
01
10
11
11
10
11
10
10
11
00
00
00
01
00
00
00
11
11
00
01
11
10
01
00
01
01
10
10
10
10
01
11
10
00
11
11
01
00
10
01
10
00
00
10
01
00
10
00
00
00
11
00
01
11
10
11
10
00
10
10
00
11
11
01
01
10
01
10
01
00
00
00
11
10
11
10
10
11
01
01
11
00
00
00
00
10
10
00
00
10
10
01
10
11
00
00
00
10
10
00
10
10
10
01
00
00
11
00
01
10
00
11
00
00
11
00
11
11
00
00
10
10
00
10
10
00
10
01
01
11
10
10
10
00
11
11
01
00
11
11
10
10
00
01
00
11
10
01
00
00
11
10
10
00
01
10
10
10
00
01
01
01
00
00
10
11
00
00
10
11
00
00
01
00
10
10
00
10
00
10
01
11
11
01
00
00
10
01
11
01
00
11
10
01
00
10
10
10
00
01
00
10
10
10
10
10
00
00
00
00
11
00
00
10
01
10
11
11
11
00
00
11
00
10
11
10
10
00
01
10
00
11
11
00
01
11
10
10
00
00
11
10
01
01
10
00
10
11
11
10
00
00
00
10
10
11
10
01
00
11
00
01
11
10
11
00
11
10
10
00
00
10
11
10
00
10
11
10
00
01
01
01
10
11
10
10
10
00
10
10
10
10
01
10
11
00
11
00
00
01
00
11
10
10
00
00
10
10
10
01
00
00
10
11
11
10
01
10
11
01
11
11
11
00
00
11
10
00
00
01
10
00
00
00
11
10
00
10
10
10
01
01
00
00
10
01
00
10
01
00
00
10
11
10
11
00
10
11
00
00
11
01
01
00
10
10
00
00
00
00
10
00
00
00
01
10
10
10
00
11
00
00
10
00
00
00
00
10
00
10
01
00
10
00
01
01
01
01
10
00
10
10
00
10
00
00
00
10
10
00
10
11
00
01
00
00
00
10
01
00
10
11
00
00
00
00
01
00
10
00
01
00
01
01
10
10
10
00
01
00
00
10
01
10
10
10
00
10
11
00
00
10
00
00
11
10
11
10
00
00
00
10
10
01
01
01
00
01
11
10
10
01
10
11
00
01
10
10
01
00
11
01
00
10
10
01
00
11
00
00
00
11
10
11
00
01
10
11
00
01
11
01
00
10
00
01
00
10
10
01
00
11
00
10
10
00
00
00
00
11
10
00
00
00
00
10
10
00
10
10
01
10
10
10
00
10
10
10
00
01
00
00
01
10
00
10
10
10
01
10
10
00
00
00
10
11
00
00
01
10
00
10
10
01
10
01
11
11
10
01
00
00
10
10
10
01
00
11
00
00
10
00
01
10
11
00
00
00
10
01
10
10
11
01
10
00
00
11
00
00
11
00
11
11
01
00
10
10
11
11
10
00
00
00
00
11
00
00
10
00
00
00
00
10
00
00
11
10
00
00
10
10
00
11
10
00
10
00
00
10
11
00
10
11
11
00
11
00
01
10
10
00
01
10
11
10
10
00
10
10
00
01
00
00
10
11
00
00
00
10
10
00
10
00
00
10
11
00
10
00
01
10
10
00
11
00
10
10
00
00
00
10
11
10
00
10
00
00
01
10
01
11
11
10
10
10
10
01
11
10
01
01
11
10
10
00
00
01
01
00
11
11
00
01
10
01
00
01
11
01
10
10
10
11
11
01
00
00
10
00
00
00
10
10
01
11
00
10
10
00
10
00
00
01
10
10
11
10
10
10
00
00
11
10
00
00
00
11
00
01
01
00
11
00
00
00
11
11
11
00
11
10
10
01
11
01
00
01
01
11
00
11
01
10
01
00
10
11
10
00
11
11
01
01
01
01
00
00
00
11
10
01
00
11
11
10
00
01
01
11
10
10
00
00
01
10
11
01
01
10
10
00
10
00
01
00
10
00
00
11
11
10
10
00
00
01
00
11
01
01
10
01
10
10
01
01
10
00
00
10
01
10
11
00
01
10
10
00
10
11
01
10
01
00
11
00
00
00
10
11
11
01
10
10
10
00
10
10
01
00
10
10
00
11
01
11
01
01
10
10
11
00
00
10
10
00
01
00
00
10
01
11
00
11
11
10
00
00
01
00
00
11
10
00
01
10
11
00
01
00
10
01
01
11
11
11
00
00
01
00
10
10
00
01
10
00
00
11
00
10
10
10
00
00
10
00
00
11
01
00
01
10
01
10
00
00
11
11
00
10
11
00
00
10
00
00
00
10
10
00
10
11
10
00
01
01
10
01
01
11
11
00
10
10
11
00
10
10
01
00
11
00
11
00
00
10
00
10
00
11
10
01
11
10
00
11
00
11
11
00
01
10
11
11
00
11
10
01
01
00
10
00
01
10
01
00
10
10
00
00
01
00
10
11
01
01
11
01
11
00
10
10
10
11
10
00
00
00
01
00
00
10
01
01
00
00
10
11
10
00
10
00
11
00
00
01
10
00
10
10
01
00
00
10
00
10
11
01
11
10
10
10
10
10
11
10
00
00
11
10
10
10
01
01
10
11
10
10
01
00
00
00
11
10
00
11
00
11
01
00
11
00
10
00
01
10
10
10
10
00
10
10
00
10
00
10
10
10
10
00
11
10
00
01
10
11
11
10
00
11
11
00
10
10
10
10
00
00
00
00
11
10
10
01
01
00
10
10
11
00
01
10
00
00
11
01
10
00
00
10
11
01
10
01
11
00
01
00
00
10
10
01
00
10
10
00
00
00
00
11
11
11
01
10
00
00
00
11
00
00
11
10
00
10
00
00
01
01
01
11
10
10
00
10
10
11
00
00
11
10
10
01
11
01
10
01
00
01
10
01
00
10
00
01
10
11
01
00
11
01
11
00
00
10
00
01
01
10
10
11
01
10
01
11
10
01
00
00
01
01
11
11
10
00
01
01
10
10
01
00
10
10
10
00
01
10
10
11
00
10
00
10
11
10
10
00
10
10
01
00
00
10
10
00
00
10
01
10
10
11
00
00
00
00
10
10
11
00
00
10
00
01
11
10
10
11
00
10
00
00
11
01
01
10
10
00
10
10
10
10
11
00
01
00
11
00
00
01
10
00
00
10
01
10
10
10
11
00
10
00
00
01
00
11
10
11
10
00
01
00
11
10
10
00
00
10
01
10
11
10
01
10
10
11
01
11
10
00
00
00
11
10
01
10
10
10
10
00
00
11
00
10
10
00
01
00
00
11
11
11
10
00
01
00
00
01
10
11
10
00
11
01
01
00
11
11
10
00
00
00
10
10
00
00
00
00
11
00
00
11
00
11
00
00
11
01
10
00
00
10
00
11
10
11
00
00
01
11
11
11
00
00
11
11
00
10
10
01
00
10
00
11
10
10
01
00
10
10
01
01
10
10
11
01
00
10
11
11
10
11
00
10
11
10
00
00
10
11
10
11
01
01
10
10
11
11
10
00
00
10
10
10
01
00
11
10
10
10
00
00
01
10
01
01
10
00
10
10
00
10
01
01
10
00
11
01
00
01
11
00
10
10
00
01
10
10
10
00
00
00
10
10
00
01
00
10
10
11
10
00
01
01
00
10
10
11
00
00
00
00
00
10
10
01
01
10
10
01
10
00
01
10
10
01
00
00
10
11
01
01
00
00
00
01
00
00
10
10
00
11
01
10
00
00
00
10
00
01
11
11
00
00
11
10
01
11
00
00
00
10
00
00
10
11
00
00
10
10
10
11
10
00
10
10
01
00
10
01
10
11
01
10
11
10
10
00
00
10
00
00
10
01
10
01
10
10
10
01
00
00
10
11
00
01
10
00
00
11
10
10
11
00
01
11
10
00
10
10
01
01
00
10
01
00
10
10
11
01
01
11
10
00
00
10
00
10
10
11
00
01
11
00
01
00
10
00
00
10
00
00
11
10
00
10
11
11
10
11
01
01
01
00
10
00
01
10
00
10
11
10
01
11
00
10
11
00
10
10
00
00
11
01
10
11
11
11
10
01
10
10
00
00
00
11
10
00
10
11
00
00
10
11
10
10
00
00
00
11
10
00
00
00
10
10
01
00
00
10
00
01
01
10
01
10
01
11
01
00
11
10
11
00
10
10
00
01
10
01
01
00
10
01
00
00
10
11
00
00
10
10
10
00
01
00
01
00
10
10
00
10
10
11
00
00
10
00
00
11
10
00
01
10
10
10
00
10
00
11
00
10
10
11
00
00
11
00
10
10
00
00
00
00
10
11
00
10
00
10
01
01
10
00
11
00
01
00
01
10
10
01
10
11
00
00
11
00
11
11
10
10
10
10
00
10
01
00
11
00
00
10
00
01
00
10
11
01
00
10
10
10
00
01
10
11
10
01
00
00
10
11
01
01
00
11
10
10
10
00
11
11
10
01
00
01
01
01
10
10
00
00
10
10
00
10
01
00
01
10
01
00
11
00
00
00
10
00
00
00
10
10
11
00
01
10
00
10
01
01
10
00
10
01
00
11
00
10
11
01
10
11
10
00
10
10
11
00
00
11
10
11
10
01
01
00
00
00
10
11
00
00
10
00
01
10
10
11
10
00
10
01
11
10
11
01
10
00
10
01
11
00
01
11
10
01
01
11
01
00
10
10
00
00
01
00
11
10
00
10
10
00
01
00
10
10
00
00
10
11
00
10
11
10
00
10
10
10
10
10
01
01
10
11
11
10
10
11
00
10
00
00
00
11
11
00
00
10
10
01
01
11
00
00
10
11
01
10
11
00
00
00
01
01
10
11
00
11
10
00
00
10
11
11
11
00
00
00
01
10
01
11
10
00
01
11
10
10
01
00
00
11
10
10
00
00
01
10
00
00
10
00
00
10
11
10
01
11
11
00
00
00
00
00
10
10
00
01
11
11
00
00
11
11
10
00
10
10
01
01
10
01
00
00
00
11
00
01
10
11
00
10
11
10
00
00
00
11
11
01
10
10
00
11
01
10
11
10
01
00
11
01
00
10
01
10
00
00
11
10
10
10
11
10
00
10
00
10
00
00
10
11
10
10
00
01
10
00
10
00
01
10
11
10
10
11
10
01
00
11
10
10
00
00
00
10
10
01
11
00
10
11
00
11
10
11
10
01
00
11
00
10
00
10
00
00
01
10
00
10
11
00
10
00
10
10
10
00
00
10
00
00
00
01
00
00
00
10
10
11
11
01
11
00
01
01
10
00
11
10
00
01
00
01
10
11
10
00
10
01
10
01
00
10
10
00
00
10
11
00
10
00
11
11
11
01
10
10
10
00
10
11
01
00
11
00
11
00
00
01
11
10
00
01
10
10
00
00
11
01
00
00
01
01
00
10
01
00
10
00
00
10
10
10
00
00
00
10
00
00
10
10
10
01
11
00
11
00
10
01
00
10
10
10
00
11
00
00
11
00
11
10
01
10
10
01
00
00
10
01
00
00
10
11
10
01
10
00
11
11
11
10
00
00
01
10
11
11
01
01
01
10
01
11
10
11
00
01
10
11
01
10
00
00
00
11
00
01
10
10
00
00
00
10
10
01
10
10
10
01
10
11
10
10
01
10
10
01
10
10
10
01
10
10
01
00
00
10
01
01
00
00
10
00
00
11
10
00
10
10
11
10
11
10
00
00
01
00
10
00
00
10
10
10
11
10
01
00
10
00
00
00
10
11
00
01
01
00
01
11
10
01
10
11
11
11
00
00
10
10
01
10
10
00
01
10
11
01
10
01
00
00
10
00
00
10
00
00
10
10
00
10
01
10
10
11
00
10
00
10
01
00
01
00
00
11
11
00
11
10
10
10
10
01
00
10
01
01
00
10
10
01
10
11
00
11
01
11
10
00
10
10
10
00
00
11
10
00
10
10
00
10
00
00
11
11
01
00
10
00
01
00
00
10
10
00
10
10
01
01
00
01
00
10
11
10
01
10
11
00
11
00
10
10
00
10
10
00
01
11
00
10
10
11
00
11
00
00
10
00
01
01
01
10
00
10
00
01
10
11
01
11
10
00
11
00
00
10
11
01
01
10
10
00
00
00
10
10
00
01
10
11
10
01
00
00
11
10
00
00
10
10
01
01
00
00
11
10
00
00
00
01
01
10
10
00
00
00
10
00
10
10
00
01
00
10
00
11
10
00
01
00
11
10
00
11
10
01
10
01
00
11
10
01
10
10
10
00
00
11
10
01
00
00
10
11
01
00
11
01
00
10
00
10
10
10
00
10
00
10
10
00
00
00
10
10
00
10
00
00
00
01
10
01
10
10
10
10
00
10
10
00
00
01
11
11
01
11
10
00
01
00
00
10
10
11
10
11
10
01
01
00
10
11
00
00
11
01
00
11
10
01
00
00
00
11
00
00
00
11
10
10
10
10
00
10
10
01
00
10
10
01
01
00
00
10
10
01
00
01
01
00
11
10
00
00
10
10
10
00
10
10
11
01
10
01
01
00
10
11
11
00
10
00
11
10
11
11
00
01
11
00
11
10
00
00
00
11
11
01
00
01
10
10
00
10
11
01
01
00
11
11
10
10
00
00
10
10
00
00
10
10
00
00
11
10
11
11
10
10
00
11
00
11
10
01
00
00
10
10
00
00
00
00
10
00
01
10
10
10
10
00
00
00
10
10
10
00
10
00
00
10
00
00
11
10
11
00
11
00
11
00
00
10
10
01
01
10
00
10
11
00
00
10
00
00
00
11
01
11
10
10
10
10
10
01
00
10
10
01
10
00
00
10
11
01
00
10
10
00
11
00
00
10
11
10
00
00
00
00
11
10
01
00
10
01
11
10
10
01
00
01
10
11
10
01
10
10
00
00
00
10
01
00
11
11
01
11
10
00
00
10
10
10
01
00
10
10
00
11
11
10
10
00
00
00
10
00
00
10
11
11
01
00
01
00
10
01
00
10
10
11
00
00
01
00
11
01
10
10
00
11
01
00
10
00
10
00
00
01
01
01
00
11
01
11
00
10
10
01
00
00
10
10
01
10
10
11
11
11
01
00
11
01
00
10
10
01
00
10
11
00
10
00
01
10
00
00
10
10
00
10
00
01
01
10
00
11
00
10
10
10
00
11
11
00
10
00
01
10
10
01
10
00
00
10
00
10
00
11
10
00
00
10
10
00
11
10
10
00
00
01
11
10
00
01
11
11
11
11
00
01
10
11
10
00
00
10
00
01
00
10
00
00
11
11
10
10
10
10
11
01
00
11
10
01
11
00
01
11
10
00
00
01
01
00
10
10
01
10
11
00
00
10
00
00
10
10
00
01
00
01
00
11
10
01
00
11
10
10
00
00
10
11
01
01
11
11
00
10
01
00
01
10
11
01
10
10
00
10
10
10
00
00
00
00
10
00
10
11
10
11
10
11
10
00
01
01
00
10
11
00
01
00
00
10
10
00
01
10
10
00
10
10
01
00
11
10
10
10
00
01
00
00
10
10
01
00
10
00
10
00
10
00
00
00
10
01
00
10
00
00
00
10
00
10
10
10
01
00
11
10
01
10
10
01
01
00
00
11
10
00
00
10
10
11
01
00
11
10
10
10
01
00
00
01
10
11
00
00
10
10
00
00
11
11
01
00
01
00
10
01
01
10
10
01
10
10
10
10
00
10
00
10
10
00
10
11
10
00
11
11
00
00
11
00
11
00
00
10
10
00
00
10
00
10
10
10
01
01
00
10
10
00
11
10
01
00
10
10
01
10
10
00
01
01
00
00
00
00
11
00
10
10
00
11
10
00
00
01
00
01
10
10
10
10
11
00
11
00
10
00
00
00
00
11
10
11
00
00
11
01
10
10
00
00
10
10
10
10
10
11
00
11
00
00
00
01
11
10
00
00
00
10
01
10
10
00
10
00
00
00
10
01
00
00
00
10
10
11
10
00
00
01
10
10
01
00
00
00
10
10
11
01
01
10
10
10
00
11
10
01
01
10
10
01
10
11
00
00
10
00
01
10
10
01
00
11
10
11
01
01
01
10
01
00
11
10
11
00
00
11
10
11
01
01
00
11
00
10
10
00
00
10
00
10
10
10
00
10
01
00
00
10
01
00
10
00
10
00
01
00
10
10
00
10
11
00
00
11
10
10
00
00
10
10
10
11
01
00
10
10
00
01
10
01
00
11
00
11
00
01
10
11
01
01
10
10
10
00
10
11
01
01
11
11
00
10
10
00
11
11
00
10
01
01
00
11
10
10
10
10
10
00
01
00
11
00
00
10
00
10
10
01
11
10
10
01
10
00
00
10
10
00
11
01
10
00
11
00
10
00
10
10
10
00
00
01
10
10
11
00
10
11
10
10
01
10
10
00
00
00
10
00
00
01
11
01
00
10
00
11
10
01
10
10
00
10
00
01
00
11
00
11
00
11
10
01
10
00
00
00
00
11
01
01
00
00
10
10
00
01
10
11
00
10
00
11
11
01
10
11
01
11
10
00
11
10
11
10
00
00
10
00
10
11
00
01
00
01
10
10
00
10
10
00
01
10
00
11
00
00
00
10
10
01
00
10
11
00
10
11
01
10
11
00
01
00
10
00
10
11
00
01
11
00
01
00
11
01
00
10
01
11
11
11
00
00
00
11
10
10
00
00
00
00
00
00
10
10
00
10
10
01
01
11
01
11
11
00
01
10
00
01
10
10
01
00
10
00
01
10
11
01
10
10
10
00
10
10
01
01
11
10
00
01
10
10
10
00
11
01
01
10
11
01
00
00
11
00
10
10
10
00
01
10
01
10
10
01
11
10
10
01
01
10
10
00
01
00
01
10
00
11
11
11
01
10
11
00
00
01
11
01
00
00
11
00
00
00
11
11
00
10
01
01
01
01
11
00
10
00
11
10
01
01
10
10
01
01
10
10
01
00
01
11
10
10
10
10
00
11
11
11
00
00
01
01
00
10
10
00
11
10
10
00
01
10
11
01
01
01
00
10
10
01
01
10
00
01
10
00
01
01
10
00
11
11
11
00
01
11
10
01
00
00
11
11
10
00
10
00
10
00
00
10
10
10
11
10
01
01
10
10
11
10
10
00
00
11
10
10
00
01
00
11
10
01
01
00
11
00
00
10
11
01
00
10
10
11
10
10
00
10
01
10
01
01
11
00
10
00
10
00
10
00
01
10
00
11
00
10
00
10
01
00
00
10
00
10
00
00
10
00
00
00
10
11
00
00
10
01
00
11
11
11
00
00
11
01
00
11
11
10
10
10
10
00
10
00
00
11
10
01
00
01
10
11
00
01
00
00
01
10
00
00
00
10
00
00
10
00
10
11
10
11
00
00
11
10
01
00
10
01
10
10
00
11
10
01
01
01
00
11
10
00
00
10
10
01
01
00
00
10
00
11
10
11
11
11
00
00
00
00
01
10
10
00
10
10
00
10
10
00
00
10
01
10
10
00
00
11
10
10
11
01
00
10
00
10
01
00
11
10
01
00
01
00
10
10
00
10
11
10
00
01
00
00
11
10
00
00
10
10
00
10
10
10
01
10
10
10
00
10
10
10
10
10
00
00
11
10
10
00
00
01
00
10
00
01
00
11
11
00
00
11
10
00
01
11
11
00
11
10
11
01
01
00
10
10
10
00
01
01
00
10
00
00
11
10
10
11
10
10
01
00
10
10
00
00
10
00
00
00
00
10
01
00
00
01
00
11
10
10
00
01
11
01
11
10
11
00
00
11
01
00
00
10
10
10
00
10
00
01
10
00
00
10
11
10
00
00
10
10
00
00
11
10
01
10
01
10
10
00
00
01
01
10
00
00
11
11
11
01
11
11
10
01
01
01
11
00
00
10
01
01
10
10
01
00
00
10
11
00
01
10
10
10
01
10
01
10
10
01
11
01
00
01
10
10
00
01
00
10
10
11
00
00
00
11
10
01
01
00
10
01
11
00
01
10
10
00
11
10
00
00
10
01
01
00
00
01
00
00
11
10
10
00
10
00
00
10
10
10
10
01
01
00
10
00
11
10
11
01
00
01
00
00
00
00
10
10
11
10
10
00
10
00
01
00
10
11
00
01
10
00
00
01
11
10
01
10
11
10
00
10
10
00
01
00
11
00
00
10
00
01
10
10
00
00
01
01
00
10
00
01
01
01
01
00
11
11
00
00
10
11
00
10
10
01
01
00
11
11
10
10
11
00
00
10
10
10
01
10
00
01
10
10
01
01
10
11
00
00
00
10
10
11
01
10
00
01
10
00
11
11
00
00
10
01
10
10
11
10
10
00
10
10
01
01
00
10
10
00
10
00
00
10
10
10
01
00
01
00
10
00
01
01
10
10
00
01
10
10
10
01
10
00
10
00
01
01
00
11
01
00
10
11
01
00
11
10
10
00
01
00
00
10
10
00
00
00
01
10
00
10
10
10
01
00
11
00
01
00
10
01
10
10
00
10
00
11
10
01
10
10
01
00
11
01
00
11
10
10
10
11
00
10
00
01
00
11
00
11
00
00
00
10
00
01
00
11
00
01
10
00
11
11
00
00
00
10
10
10
10
11
10
11
00
01
01
10
10
01
01
10
01
01
01
00
00
11
11
10
00
10
11
00
10
01
10
10
10
10
00
00
11
10
00
10
11
10
11
00
00
10
10
10
10
10
01
00
00
00
00
11
00
10
10
00
10
10
11
01
01
11
00
00
00
01
00
00
10
01
11
10
01
10
10
00
10
11
10
10
00
01
10
01
00
10
00
00
11
10
01
00
11
00
10
10
10
11
10
01
00
10
10
10
10
11
01
00
11
10
11
00
00
00
00
10
00
00
11
10
01
10
01
10
01
10
11
10
00
00
10
11
10
01
01
10
10
10
00
10
11
11
10
01
00
11
10
00
11
01
01
10
01
00
10
01
11
10
01
00
10
00
11
10
01
10
11
01
00
00
00
00
10
11
01
00
10
10
10
11
10
11
10
00
01
01
01
00
00
10
00
00
11
10
10
10
01
11
00
01
10
10
01
00
11
00
01
00
00
00
10
01
01
11
11
01
01
00
10
10
11
01
01
10
11
11
10
11
00
01
01
10
11
00
11
10
10
01
10
00
10
00
00
00
10
10
10
01
00
10
10
00
10
00
01
00
00
10
10
00
10
10
00
00
10
10
01
01
01
01
10
00
11
10
01
10
10
10
01
01
10
00
01
01
00
00
00
10
10
00
10
00
11
00
01
00
10
10
01
00
10
10
11
00
00
00
00
01
11
00
10
01
00
10
00
01
10
10
01
00
01
10
00
10
11
00
10
00
01
11
10
00
00
01
10
00
01
10
10
01
01
11
10
00
00
00
10
00
11
10
10
00
11
00
10
10
01
01
00
01
10
10
11
00
00
11
10
11
10
10
00
01
10
10
00
00
11
10
11
10
00
00
00
00
01
10
10
00
11
00
10
10
00
10
10
01
10
01
00
10
01
00
00
00
10
10
01
00
11
10
00
01
10
00
10
10
01
01
00
00
00
00
10
00
00
01
00
10
10
10
10
10
10
00
10
10
10
01
10
11
10
11
10
01
00
10
00
00
00
10
00
01
10
01
11
10
00
11
10
00
00
11
00
10
11
01
00
11
11
11
01
00
11
10
00
00
01
10
10
00
00
11
10
00
10
10
01
11
00
00
01
10
11
10
00
10
10
10
11
10
01
10
11
00
10
10
01
00
10
10
11
10
00
01
00
00
00
10
00
00
11
10
11
00
10
11
01
00
00
10
10
11
01
10
11
10
01
00
10
11
01
01
01
10
00
01
01
10
11
00
00
11
10
11
01
10
10
00
10
01
10
10
00
01
01
11
00
10
10
10
11
01
00
11
11
10
10
00
11
01
10
00
01
10
00
11
10
11
00
10
00
00
11
11
00
10
11
01
00
00
10
11
00
00
00
00
00
00
10
10
10
01
10
10
10
10
01
00
10
10
11
00
00
01
10
00
00
00
10
00
01
00
01
00
10
11
10
00
11
01
00
11
10
01
01
00
10
00
11
10
01
01
11
01
00
10
10
10
10
01
00
10
11
00
00
11
10
00
01
10
00
10
10
00
11
01
11
11
00
10
10
11
10
10
10
00
00
00
10
01
00
00
01
00
01
00
11
10
00
10
10
01
00
10
10
01
01
11
10
01
10
10
11
01
01
10
00
00
10
10
11
00
11
00
00
10
00
00
10
00
00
00
10
10
00
00
11
10
00
01
10
10
11
01
00
01
01
11
00
01
01
11
10
00
10
11
10
00
10
11
10
10
10
01
00
01
01
00
11
00
00
11
10
00
11
10
10
10
10
10
10
01
01
11
11
00
00
00
10
11
11
01
01
01
11
10
00
11
01
00
10
10
00
11
00
01
10
00
01
01
11
10
10
10
10
00
10
00
10
00
00
11
00
10
01
10
11
10
01
00
00
10
00
10
00
00
10
10
10
00
00
10
10
00
00
11
00
01
11
00
10
00
10
00
00
10
01
00
00
00
00
10
00
10
10
00
10
00
00
00
11
01
10
01
11
10
10
10
00
01
00
11
11
01
11
00
11
00
00
11
10
10
00
01
00
00
01
00
10
10
10
00
11
10
10
11
11
10
00
10
10
11
01
00
10
00
10
10
01
11
10
00
01
10
00
11
10
11
00
00
00
00
10
11
10
00
11
11
10
00
01
10
00
00
01
00
11
11
10
01
10
10
01
11
11
01
11
10
10
01
00
01
11
10
01
01
00
00
00
11
00
00
11
11
00
00
11
11
10
11
01
00
11
01
01
10
10
00
11
10
10
01
00
00
10
10
00
00
10
00
00
11
00
11
00
00
10
01
11
10
11
01
11
10
10
10
01
00
00
11
10
10
01
00
10
10
00
00
10
11
00
11
10
00
00
10
00
01
01
11
10
00
00
00
11
11
01
01
10
01
01
10
11
10
11
01
01
00
01
10
11
11
00
11
11
01
11
00
01
10
11
00
00
01
10
00
10
10
00
10
00
00
01
11
00
10
01
01
10
11
11
11
00
00
00
00
00
10
10
00
10
00
10
00
00
00
00
00
00
01
10
00
10
10
00
11
01
01
10
01
00
11
11
11
11
00
00
10
01
00
11
10
01
00
00
10
10
00
00
00
10
00
01
00
00
10
10
11
01
01
11
10
10
00
00
10
10
00
00
00
10
10
01
10
10
10
10
10
01
10
01
10
10
01
00
00
11
10
00
10
00
11
00
10
01
10
10
00
10
00
00
10
10
11
01
11
10
01
11
10
11
00
00
11
00
00
10
11
00
01
11
01
01
10
00
10
00
11
00
11
10
10
00
00
01
10
10
00
00
10
10
10
00
10
10
11
00
01
01
01
01
00
01
00
10
10
11
00
10
00
01
10
10
01
10
11
01
00
01
00
10
01
10
01
00
11
11
00
00
10
10
00
01
10
01
10
00
00
10
01
10
10
00
00
10
01
10
00
00
11
01
00
11
11
01
11
10
10
10
01
01
01
11
01
10
01
00
10
00
10
11
11
10
00
10
10
00
01
11
10
00
00
11
11
10
00
00
01
10
11
00
10
00
10
00
01
00
10
11
01
00
10
10
00
00
01
10
10
01
01
10
10
10
00
00
10
10
00
10
00
10
00
01
10
01
01
01
00
01
00
11
10
00
10
10
10
00
00
10
10
00
10
10
10
11
10
10
01
01
01
10
00
10
00
00
01
00
11
00
00
00
10
00
10
10
00
10
00
11
01
01
00
11
00
11
00
00
11
10
11
01
01
10
11
01
00
00
11
00
10
10
01
10
10
01
00
00
11
11
01
00
00
10
01
00
00
10
00
00
11
00
11
00
11
11
11
00
11
00
00
11
10
10
00
01
11
00
10
01
01
01
10
00
01
01
00
11
10
11
10
01
11
01
01
11
01
10
11
00
10
01
00
00
10
11
00
10
11
10
10
00
10
10
00
00
11
10
10
11
00
10
00
01
00
10
10
10
10
11
00
01
01
01
10
11
10
10
10
00
00
11
11
01
11
10
10
00
01
10
01
00
00
00
00
00
10
01
00
00
01
10
11
01
00
11
11
10
11
10
00
00
10
10
11
00
00
11
11
10
10
10
10
01
10
11
11
11
00
01
11
00
11
00
00
10
00
10
10
10
00
00
11
10
00
00
01
00
00
10
01
01
10
10
10
10
01
01
11
00
00
10
01
10
00
01
11
00
00
00
11
10
11
10
11
00
00
00
00
00
11
00
00
10
11
10
10
00
01
10
11
01
00
10
10
00
11
11
01
10
01
00
01
10
00
01
10
10
00
10
10
10
10
10
11
00
00
10
10
00
11
00
10
10
01
00
00
10
01
11
00
10
00
01
10
10
00
01
00
00
01
00
10
11
11
10
10
00
11
00
10
01
10
01
10
10
00
10
01
00
01
10
10
00
10
10
10
10
01
11
10
10
01
01
00
00
10
10
00
10
00
01
10
00
10
01
00
11
01
10
11
00
00
01
00
10
00
00
10
00
01
11
01
00
11
00
10
01
10
11
01
00
10
00
11
00
00
10
10
10
01
11
00
01
10
11
10
00
10
10
00
01
10
10
11
01
01
11
10
01
00
01
11
00
00
10
00
01
01
10
11
10
00
10
10
10
00
11
10
11
01
11
10
10
00
11
10
00
00
01
11
11
10
11
10
01
00
10
10
00
01
10
00
01
00
00
00
10
00
00
10
10
10
00
00
10
00
11
10
00
10
01
10
11
00
00
01
10
00
01
00
11
11
00
01
10
10
01
11
10
10
10
00
00
10
10
01
00
00
00
11
00
00
10
11
11
01
10
00
11
10
00
10
10
01
00
01
10
00
00
00
10
10
10
10
00
10
10
10
00
10
00
11
10
00
11
00
10
10
10
00
01
10
10
01
00
01
10
10
10
00
00
10
11
01
00
00
10
10
10
11
10
00
01
01
01
01
10
00
10
01
10
00
11
10
00
01
00
00
01
10
10
01
10
10
00
01
10
01
11
01
00
11
10
10
11
10
01
00
11
01
01
10
10
01
01
10
10
10
10
01
01
00
11
11
10
10
10
10
00
00
11
01
00
01
10
00
10
00
10
10
10
01
11
11
10
01
01
11
11
00
10
10
00
00
10
01
00
11
10
01
11
11
10
10
10
00
10
01
00
10
11
10
11
00
01
10
10
11
01
00
11
00
01
10
10
00
10
00
01
01
10
10
01
00
10
00
01
10
10
00
10
01
01
10
11
01
00
01
11
00
10
11
00
10
10
01
11
11
10
10
10
00
00
10
00
10
00
00
00
10
10
00
10
11
01
00
10
01
10
01
10
00
00
01
10
10
00
11
10
00
01
00
11
00
00
10
00
10
00
00
10
00
00
00
10
00
11
10
01
00
00
10
00
01
10
00
01
00
10
01
10
01
00
10
10
00
10
00
10
11
10
00
10
10
00
11
00
00
10
01
00
11
10
00
01
00
10
10
01
00
11
01
00
10
10
00
10
10
00
00
11
10
11
00
11
01
00
11
00
10
11
00
01
10
00
00
11
10
10
00
00
00
10
11
10
11
00
00
01
10
01
00
00
11
10
01
00
10
10
11
00
10
11
01
00
00
10
10
11
10
00
10
11
00
00
10
00
10
10
10
00
10
00
00
11
10
11
01
00
11
10
00
01
10
10
00
00
10
11
00
10
10
01
00
11
10
00
10
11
00
00
00
11
00
01
10
00
11
01
00
00
10
10
10
11
00
00
10
10
11
00
01
11
00
11
00
01
01
10
10
01
10
11
00
01
01
00
01
10
00
11
10
01
00
10
10
00
10
11
10
01
00
01
10
11
00
10
00
00
10
10
00
00
10
10
11
00
01
10
00
10
10
10
10
00
11
00
00
00
11
00
01
10
10
10
00
00
00
00
10
10
00
00
11
00
10
00
10
00
10
10
10
01
00
00
00
10
00
01
10
10
00
10
10
11
00
10
01
10
10
11
00
10
10
00
10
00
00
01
00
00
11
00
10
10
10
11
00
01
00
10
10
01
00
00
01
00
01
10
01
00
10
10
01
00
10
00
01
00
10
00
10
10
00
00
00
10
10
10
10
10
00
10
00
01
10
00
01
10
11
10
10
00
00
00
00
00
10
11
00
11
11
00
00
00
10
11
10
01
01
01
10
00
01
10
01
11
10
01
01
00
10
00
10
00
11
00
10
10
00
11
11
10
10
01
01
10
00
10
00
10
11
00
11
10
10
00
10
00
10
10
00
11
00
10
11
11
11
10
00
10
00
00
00
00
10
11
10
00
01
01
00
10
01
11
10
11
00
10
01
00
10
11
01
01
01
01
11
11
01
10
10
00
00
10
01
00
10
10
00
01
10
10
00
10
11
00
11
10
00
10
10
11
11
00
01
11
10
01
01
00
01
10
11
01
00
11
10
01
00
00
00
10
10
00
11
00
10
10
00
01
01
10
00
00
10
10
11
00
00
10
10
10
11
10
10
00
00
10
00
10
01
00
10
00
11
00
00
00
10
01
00
11
11
10
10
11
00
01
10
10
11
11
00
10
00
00
00
00
00
10
11
10
01
00
11
10
01
00
00
01
10
00
11
10
00
10
00
00
00
01
11
00
11
10
00
11
00
00
00
10
10
11
11
00
00
10
00
10
00
11
00
00
10
00
00
10
11
00
00
00
10
11
00
10
00
11
11
10
10
00
10
01
00
01
10
10
11
00
10
00
11
01
01
00
10
00
00
00
11
11
00
00
00
11
10
01
00
11
01
00
10
10
01
01
10
00
10
00
01
11
11
01
00
10
11
01
01
01
10
10
10
01
00
11
10
01
11
00
00
10
11
00
01
11
10
01
01
11
00
10
11
00
10
11
00
00
10
00
10
10
11
10
11
10
01
00
01
00
01
10
10
10
01
00
10
01
00
10
10
00
11
10
11
01
01
10
00
11
11
00
00
01
00
10
11
00
01
01
11
00
11
11
00
00
10
10
00
10
00
10
10
01
10
00
00
10
00
01
00
00
01
10
10
00
00
10
10
10
10
01
00
00
01
10
01
11
11
10
01
01
00
00
10
11
00
01
01
10
10
01
00
00
00
10
10
01
00
01
01
10
10
00
00
01
00
00
11
01
11
10
10
00
00
00
10
11
10
01
00
01
10
10
00
10
00
01
11
00
11
10
10
01
01
10
00
00
11
10
10
11
00
00
10
11
10
00
01
10
10
01
00
01
10
10
01
10
11
10
11
00
01
11
10
10
00
10
11
00
00
11
10
11
10
11
00
10
01
11
01
00
01
00
00
10
10
00
00
10
10
00
10
10
01
10
01
11
10
01
01
00
10
10
00
00
10
10
00
00
11
10
00
11
00
11
11
10
10
00
00
10
00
00
01
00
10
10
11
00
10
01
00
10
00
01
11
10
11
01
00
10
10
10
00
10
10
10
00
00
10
11
11
01
10
10
10
10
00
01
11
00
00
10
00
10
10
10
00
00
00
00
00
00
11
11
10
10
10
11
11
10
00
00
10
10
00
00
10
00
00
01
01
11
00
01
10
11
10
11
01
00
01
10
10
00
10
10
10
01
10
11
10
01
10
00
01
10
01
11
01
01
11
00
01
10
10
11
00
10
10
11
00
10
11
00
00
10
00
00
01
10
10
01
01
01
11
01
11
10
01
01
10
11
10
10
00
00
10
10
10
00
11
01
00
00
01
00
00
01
10
10
01
10
10
00
11
00
00
10
11
01
11
10
10
11
10
10
01
00
10
01
11
10
10
10
01
00
10
00
10
11
00
00
10
10
10
01
11
00
00
10
01
00
10
00
11
10
00
11
11
10
10
11
11
01
00
00
01
11
00
11
10
00
00
10
10
00
01
10
01
00
01
10
10
10
00
00
11
11
10
10
10
00
00
00
00
10
00
00
10
00
10
00
10
00
00
10
00
10
10
10
11
00
11
00
00
11
00
10
10
01
10
00
00
10
11
10
00
00
10
10
10
10
00
01
10
11
10
10
00
10
10
11
01
00
10
00
00
11
01
00
01
00
11
11
00
01
00
10
11
10
10
00
00
11
10
10
11
11
00
11
00
00
01
10
00
00
00
10
10
01
10
10
01
00
01
01
00
11
10
11
10
11
01
11
00
01
00
10
01
00
10
10
00
01
00
11
01
00
11
00
00
10
10
01
00
10
11
00
10
10
00
10
10
00
10
00
00
00
00
11
00
10
11
00
11
10
00
00
10
11
01
10
10
00
00
10
10
01
10
10
11
00
10
10
00
11
01
00
01
00
11
00
10
10
00
01
11
10
11
00
11
10
11
00
11
00
01
10
01
00
10
10
01
00
10
00
00
11
00
00
01
10
00
10
00
00
10
11
00
01
11
10
10
01
11
10
00
00
10
10
11
01
00
10
11
01
10
01
10
10
00
00
10
01
00
01
00
10
11
10
10
00
01
10
10
00
10
00
11
00
01
01
11
10
01
01
10
00
00
10
10
10
00
00
11
10
01
10
10
01
10
10
00
11
00
11
10
01
01
10
10
11
11
10
10
10
10
10
01
00
10
11
00
10
00
10
00
00
00
10
10
00
01
00
10
00
00
10
00
00
11
00
11
11
10
10
01
10
00
00
10
00
00
00
01
10
10
10
00
00
00
11
10
00
10
10
10
10
11
00
10
10
00
00
11
01
10
11
01
00
11
11
00
11
00
10
00
10
10
00
00
00
10
10
00
10
11
01
10
11
10
10
11
10
00
00
10
10
00
10
10
01
10
00
11
01
01
00
01
11
00
11
00
11
10
10
00
10
00
00
01
11
01
01
11
01
01
00
01
00
11
00
00
11
10
11
00
01
11
00
11
11
00
11
11
11
10
11
01
00
10
11
10
00
00
11
01
00
10
00
10
01
10
10
01
00
00
10
10
00
01
11
00
00
10
11
00
01
11
11
11
00
10
11
00
00
10
11
00
10
10
00
11
00
11
10
01
11
10
00
01
10
10
00
00
00
00
00
10
10
01
10
10
01
10
10
00
00
00
10
01
01
10
11
00
00
10
00
10
10
00
11
11
00
11
00
00
10
00
00
11
00
10
00
10
01
00
10
10
10
10
10
11
10
00
00
10
11
11
00
10
11
00
00
10
10
00
10
00
01
10
10
10
10
00
10
00
00
11
11
00
00
10
11
01
00
10
11
10
00
01
10
00
10
00
01
10
11
11
00
00
10
10
01
10
11
00
00
01
10
01
00
11
10
10
00
00
00
11
10
11
10
11
00
00
00
11
11
00
11
10
00
10
11
10
00
10
10
10
10
00
10
10
10
10
10
10
11
00
00
01
00
01
10
10
10
10
10
00
01
01
11
10
00
10
01
01
11
11
01
10
01
01
00
11
10
00
00
00
11
01
11
00
01
11
10
10
11
10
00
10
00
10
11
01
11
01
10
01
10
00
10
11
00
01
11
11
00
10
00
00
10
00
01
10
10
10
10
11
00
11
00
10
01
01
11
00
11
10
01
11
10
00
01
00
10
00
00
10
01
11
00
00
00
00
01
00
10
10
01
00
10
10
11
10
01
01
00
00
10
00
01
00
10
01
10
00
00
01
11
10
00
00
11
11
00
10
10
11
01
10
10
11
11
00
10
00
00
00
01
10
01
00
10
11
10
11
00
10
10
11
01
10
00
11
01
00
01
10
10
10
00
00
10
10
10
11
10
01
00
11
01
01
00
00
10
10
10
01
00
10
11
10
11
00
00
11
10
10
11
00
01
10
11
01
00
10
10
11
01
00
10
11
00
10
00
00
11
01
01
10
11
11
00
00
01
00
10
10
10
00
00
01
00
11
11
10
10
10
10
00
10
10
01
10
10
01
00
10
00
00
10
01
00
10
01
01
00
11
10
10
00
01
10
00
10
10
10
01
10
10
01
01
01
00
01
10
00
10
11
01
00
00
10
10
00
00
00
00
00
11
11
10
10
10
00
11
11
01
00
11
01
00
01
10
00
00
01
10
10
11
01
00
10
10
00
10
11
11
11
00
00
00
10
10
10
00
10
00
11
10
00
11
00
00
10
00
00
00
11
10
10
10
10
11
10
00
10
01
00
01
10
01
00
01
00
10
10
00
01
10
10
10
10
01
10
00
01
00
11
11
11
11
00
01
10
01
00
01
10
10
01
01
00
11
10
00
10
10
10
01
10
11
10
01
00
11
00
11
11
01
00
11
01
00
00
00
11
10
10
00
00
00
00
00
10
10
01
00
10
10
00
10
10
00
01
10
11
00
11
10
00
11
10
01
11
00
01
11
00
01
00
11
10
11
01
00
10
10
10
00
11
10
11
00
00
10
01
00
10
01
00
11
10
00
00
00
01
01
10
10
10
00
10
00
00
11
11
00
11
11
00
00
10
10
00
00
10
00
10
10
10
00
10
10
00
00
10
10
10
00
01
10
10
00
10
10
00
01
01
11
00
00
10
11
10
10
10
01
00
11
00
10
00
00
00
10
01
00
11
11
00
00
11
10
00
11
00
01
10
10
00
10
11
10
01
00
11
10
01
01
11
10
10
10
00
00
00
10
10
01
00
10
10
00
01
00
10
10
00
10
00
11
10
00
01
10
01
00
00
01
10
01
10
00
00
00
01
00
11
10
00
10
01
00
10
00
00
10
00
11
11
10
00
00
01
00
10
10
01
01
00
10
10
10
11
10
11
00
11
10
10
11
00
01
00
11
11
01
00
10
10
00
00
00
10
10
10
11
00
11
00
10
10
00
00
01
10
10
00
00
11
00
00
01
01
11
10
11
00
00
10
10
10
10
01
00
10
11
01
11
00
10
00
10
00
01
11
11
11
10
10
00
11
00
00
10
10
10
11
10
00
00
11
10
11
00
01
00
01
10
01
11
11
00
00
10
10
11
00
11
00
01
00
01
00
10
10
10
10
00
11
11
00
01
00
10
11
10
00
00
00
11
00
11
10
11
00
00
11
01
10
11
10
01
10
01
11
11
00
01
10
11
01
11
00
00
10
01
00
10
10
11
10
10
10
01
00
11
10
11
00
11
11
00
01
11
01
00
01
11
10
01
11
00
00
10
10
10
00
11
11
00
00
11
11
10
10
00
00
10
00
10
10
00
10
11
01
00
11
00
01
10
10
00
10
00
01
00
11
10
00
00
10
00
00
00
11
00
11
10
01
10
10
00
00
00
10
00
10
00
00
00
10
10
00
10
10
10
00
11
10
00
00
10
00
11
01
00
10
11
00
11
10
00
10
10
00
10
10
00
00
00
01
00
01
00
01
00
01
10
00
00
10
01
00
11
10
00
10
10
00
01
01
10
00
11
10
01
10
01
11
00
11
00
00
10
00
00
01
00
10
10
00
11
01
11
00
11
10
11
00
10
00
00
00
01
10
01
00
11
10
11
00
10
10
00
00
00
01
10
10
00
10
01
00
00
10
01
10
00
00
10
11
10
00
00
10
00
01
11
00
01
10
00
11
10
11
11
01
11
00
01
10
00
10
10
00
00
00
11
00
10
11
01
10
10
00
10
11
00
00
10
00
10
10
01
10
10
00
01
00
00
10
11
10
00
10
00
00
00
10
10
11
00
00
10
00
00
11
10
00
10
11
00
00
10
00
01
10
10
10
00
00
10
10
00
10
10
10
10
00
10
00
00
10
10
11
10
00
01
00
11
01
11
00
11
00
00
00
10
10
10
01
00
00
10
11
10
00
00
01
00
10
00
11
11
11
11
00
10
01
10
10
00
00
10
11
10
11
01
10
10
10
10
00
01
10
00
01
01
00
11
11
01
01
10
11
10
00
10
11
00
00
10
11
00
11
00
10
00
10
10
01
11
10
11
00
11
01
10
00
00
01
11
10
00
10
00
11
11
11
10
10
00
11
01
00
01
10
00
10
10
01
10
11
00
11
00
00
01
00
01
00
10
11
10
00
00
10
10
10
01
00
00
01
01
10
10
00
00
10
11
10
11
00
01
10
10
11
00
11
00
10
11
01
01
00
10
10
00
00
11
00
01
11
00
11
10
10
01
10
10
11
10
01
01
11
00
01
10
01
10
10
01
01
10
10
00
01
10
10
11
00
01
01
10
11
01
01
11
10
00
00
10
10
00
00
10
00
10
11
10
00
00
01
00
01
00
00
10
01
10
10
10
10
00
10
10
00
01
10
10
01
00
01
10
10
01
11
00
00
01
10
10
00
00
10
10
00
00
10
10
01
11
11
01
01
00
11
01
10
10
00
01
10
10
00
10
00
01
10
01
11
10
11
10
11
00
10
11
00
00
10
10
01
10
10
00
11
10
10
00
11
00
00
01
00
10
00
00
10
11
11
01
11
11
11
10
10
01
01
01
00
11
10
00
10
10
00
01
01
01
00
10
00
01
00
10
10
01
10
00
00
10
00
00
00
10
10
00
00
00
01
00
11
10
10
00
10
00
10
10
01
01
10
10
11
10
10
10
00
01
00
10
10
10
10
00
10
10
00
00
11
00
00
00
01
10
11
00
11
00
11
00
10
01
00
11
10
00
00
10
01
00
00
10
10
10
11
00
00
10
10
10
00
10
01
11
11
00
00
00
00
10
10
00
00
10
10
11
00
10
10
10
00
00
00
11
11
01
11
11
00
10
01
01
10
00
10
10
00
10
01
10
00
10
10
00
01
11
00
10
00
11
01
10
00
11
00
01
10
00
00
11
11
00
00
11
10
10
01
01
10
00
01
10
10
00
00
00
11
01
00
11
11
00
00
10
00
00
10
01
10
10
00
10
00
01
01
10
01
10
00
11
11
11
11
00
01
11
10
00
11
10
00
10
11
00
00
00
00
01
00
01
11
00
11
01
00
00
00
10
10
01
01
01
11
10
00
10
00
10
10
00
00
11
00
01
10
10
01
00
10
00
01
11
11
00
11
11
01
00
00
11
00
10
11
00
01
01
00
10
00
10
11
01
00
00
00
10
10
11
00
00
10
00
10
10
11
11
00
10
00
11
01
00
11
00
01
10
00
00
00
00
10
00
01
10
01
00
10
00
01
10
11
10
01
10
10
10
10
11
00
01
00
10
10
11
10
00
10
10
00
11
10
10
10
10
10
01
01
11
11
00
00
00
10
01
00
11
11
10
11
10
00
00
00
10
01
10
01
10
00
11
11
00
00
10
11
10
01
01
11
00
01
10
00
11
10
10
01
00
01
01
00
10
01
00
10
10
10
00
01
10
10
11
00
00
11
10
00
10
10
00
10
00
10
00
00
10
01
10
00
01
10
00
00
10
10
00
00
11
11
00
10
10
10
11
01
01
10
10
10
10
00
00
00
11
10
10
11
11
10
01
00
11
00
00
10
10
00
10
10
10
10
10
00
10
00
00
00
00
11
10
10
01
10
10
10
11
00
01
01
10
00
00
01
00
10
10
00
00
10
10
10
11
01
10
10
11
01
01
00
10
10
01
11
11
10
00
00
01
10
10
10
00
01
11
00
10
00
00
00
00
11
00
00
01
00
11
10
00
00
10
10
10
11
11
00
00
10
00
01
00
10
00
10
00
10
10
01
01
10
11
00
00
01
10
10
10
01
01
00
00
10
10
10
10
01
11
00
00
10
01
10
10
00
10
00
00
00
01
11
00
00
00
11
10
01
00
11
11
11
10
10
10
00
10
11
10
00
10
10
11
10
00
01
00
11
10
10
00
00
10
11
11
00
01
10
00
11
00
00
11
11
10
00
01
00
00
11
00
01
01
11
11
10
00
00
10
10
11
01
00
00
00
00
10
11
11
10
01
10
01
00
10
00
10
00
01
01
10
10
01
00
01
00
10
10
00
11
11
10
00
00
10
10
10
00
10
01
00
11
10
10
01
01
00
10
10
00
00
11
00
00
00
10
10
10
00
00
10
10
11
10
00
01
01
00
00
00
01
11
00
00
11
11
10
00
10
10
11
10
00
10
00
10
10
00
10
01
00
01
00
00
10
10
11
10
01
01
01
01
11
01
11
10
10
00
01
10
01
00
00
00
11
10
00
11
11
11
00
01
10
10
01
10
10
11
10
00
10
10
00
10
00
10
00
00
01
10
10
10
00
10
11
10
10
00
00
00
10
11
00
11
10
00
01
10
10
01
10
10
01
00
11
01
10
01
01
11
01
00
10
00
11
10
01
00
10
00
10
00
10
00
01
00
10
11
00
10
10
10
00
10
10
01
10
00
11
11
00
10
00
10
00
10
10
01
10
11
00
11
00
00
01
11
10
01
11
10
00
00
10
11
00
01
10
10
11
10
11
11
00
00
10
11
10
10
10
00
01
11
10
10
00
00
10
11
01
11
10
00
10
11
11
01
11
11
01
01
00
10
00
00
01
00
11
10
10
01
11
11
00
01
11
10
00
00
10
10
01
00
00
10
10
00
00
01
10
10
11
01
00
11
11
00
00
11
11
10
11
00
10
10
11
11
10
01
00
11
10
01
10
00
00
10
11
00
01
10
01
00
01
00
00
10
11
10
01
00
00
00
10
00
10
10
00
11
11
01
11
01
11
00
00
00
00
10
11
10
00
00
00
10
10
01
00
10
00
00
11
00
01
00
10
10
10
10
11
01
10
10
00
00
00
10
00
01
01
00
11
01
10
10
00
11
11
00
00
00
10
10
00
11
00
00
10
10
11
01
00
00
10
00
00
11
00
11
00
01
10
00
10
10
10
00
10
10
10
01
11
00
00
10
01
10
10
11
00
00
00
00
00
01
11
10
10
01
11
11
10
11
00
01
00
10
00
00
00
10
11
00
11
10
01
10
10
10
10
01
00
00
10
01
00
10
00
11
00
10
00
11
11
10
10
00
10
00
11
00
00
01
00
10
00
01
10
10
10
00
10
10
01
10
10
00
00
10
11
10
10
10
10
10
01
11
10
10
10
10
00
00
00
11
11
11
01
11
00
11
00
01
00
00
11
10
01
10
10
01
10
00
00
10
10
00
11
10
00
10
10
10
00
00
10
11
10
10
10
00
11
00
10
00
11
11
11
00
00
10
10
10
01
01
10
10
01
10
00
11
10
01
01
00
01
11
10
10
10
00
00
11
10
00
01
10
01
01
01
01
10
00
11
10
01
01
00
00
00
10
10
00
00
10
10
10
01
11
00
10
01
00
00
10
01
10
01
00
00
10
10
00
00
10
10
00
11
01
11
00
11
00
00
10
01
00
10
11
00
00
11
10
11
00
00
11
11
01
10
00
10
11
01
11
10
00
11
10
11
00
00
10
10
11
10
01
00
11
10
00
10
01
00
11
00
00
01
11
11
01
00
10
10
00
10
10
01
00
10
00
01
10
11
11
00
00
10
10
10
00
00
01
11
00
10
10
11
01
10
10
00
11
10
11
10
00
00
01
11
00
00
11
10
00
00
10
00
00
11
10
10
00
11
00
11
00
00
10
00
10
10
00
10
01
11
00
00
00
11
10
10
01
00
00
00
00
10
00
01
10
10
01
01
11
10
10
10
00
00
10
00
00
10
10
00
00
11
10
00
01
11
11
10
01
00
11
01
00
11
10
11
10
01
10
01
01
01
00
11
10
00
11
10
00
11
11
00
10
10
00
00
00
10
00
00
01
01
00
10
10
00
11
00
00
00
11
10
10
10
01
00
00
01
10
10
00
00
00
00
00
10
11
11
10
00
01
01
00
00
00
11
10
10
01
00
10
01
00
10
10
00
00
01
11
10
01
10
10
00
11
10
00
11
00
10
10
01
01
11
10
01
10
00
01
10
00
00
11
10
10
00
10
01
11
00
00
10
10
10
00
01
11
10
11
01
00
11
00
00
10
01
10
01
00
10
11
11
01
00
01
01
00
00
10
10
00
01
11
11
01
01
01
01
10
10
01
00
11
00
01
00
10
10
10
11
01
10
10
10
00
01
10
11
00
11
10
11
10
10
11
00
01
10
10
01
00
00
11
11
01
10
11
00
00
10
00
10
10
00
10
10
00
11
10
00
01
00
10
01
10
10
01
10
01
01
00
00
10
11
11
00
11
00
00
00
00
10
01
10
10
10
00
00
10
11
00
00
00
10
10
00
10
00
00
00
10
10
00
10
00
11
10
01
00
10
00
01
10
01
10
10
01
10
10
01
00
10
11
10
10
00
01
10
01
10
10
00
11
10
11
00
01
10
10
00
00
10
00
00
10
10
00
01
01
10
00
00
10
11
00
10
10
00
01
10
00
00
00
10
10
00
00
00
11
10
00
10
10
00
00
11
00
10
10
01
10
01
01
10
00
00
00
11
10
00
11
00
01
10
01
01
00
01
01
01
11
10
00
10
00
00
10
10
00
10
00
10
10
10
01
10
00
00
10
10
11
00
11
10
00
00
11
11
01
00
10
00
10
10
11
00
00
10
11
00
00
10
10
10
10
00
00
01
10
00
01
10
11
10
11
11
10
11
01
01
11
01
00
00
10
10
00
00
11
10
01
10
11
00
00
11
10
00
00
00
10
00
00
00
10
10
01
11
01
01
10
11
10
01
11
00
00
10
11
01
00
10
01
01
10
10
11
00
11
00
01
10
10
10
00
00
10
00
01
10
11
10
10
10
00
10
10
00
01
10
11
00
10
11
11
10
00
11
10
01
11
10
10
00
00
10
01
00
00
00
11
01
00
10
11
10
11
10
10
10
00
10
00
10
11
11
01
10
00
10
10
10
00
01
10
00
01
00
10
10
00
00
11
10
11
00
10
10
00
01
10
10
01
00
10
10
00
00
10
01
11
11
10
10
00
00
10
10
00
00
10
10
10
11
01
10
00
01
10
00
00
10
01
10
10
00
10
01
10
01
01
00
10
10
00
10
10
00
11
00
11
01
10
01
01
00
00
10
10
01
01
11
11
00
00
11
00
00
00
10
00
10
10
10
10
01
10
01
10
10
10
01
01
00
00
10
10
01
00
10
11
00
10
10
00
00
00
10
10
01
10
01
11
11
01
00
00
10
00
10
00
00
10
00
01
01
01
00
10
10
00
00
00
00
10
11
11
01
10
10
10
01
00
00
00
11
10
00
11
00
01
10
00
10
10
00
11
10
10
10
00
01
11
10
01
00
11
11
11
10
00
10
01
10
00
00
11
10
00
00
00
00
10
01
11
10
10
10
00
11
00
11
11
00
00
10
10
01
00
10
10
00
00
00
00
11
00
11
00
01
01
10
01
10
00
01
01
00
10
11
00
00
10
00
01
00
10
11
11
11
10
11
00
11
00
00
10
11
11
00
00
10
10
00
10
10
00
10
00
00
11
00
01
00
11
11
00
10
00
10
10
01
00
00
10
10
00
00
00
10
00
01
10
11
00
00
00
01
10
00
01
10
01
00
10
10
01
00
11
10
01
10
10
11
01
10
11
00
10
10
00
00
10
11
00
00
00
11
00
11
10
00
00
10
10
00
01
11
10
01
01
00
01
00
10
11
10
00
01
10
11
11
01
01
10
01
10
01
01
10
01
00
10
11
01
00
00
10
10
00
00
11
11
11
11
00
01
00
00
10
10
00
00
01
11
10
00
00
01
10
00
01
10
00
00
10
10
10
00
00
11
11
11
10
10
00
00
10
10
11
01
01
01
10
01
11
11
10
10
01
10
11
00
10
10
01
01
11
00
00
10
00
00
00
10
11
10
00
00
00
00
11
11
10
00
00
10
10
00
10
11
10
11
01
00
10
11
11
00
11
10
00
10
00
00
11
10
00
10
00
00
00
10
10
00
00
00
00
10
11
10
01
00
01
01
10
11
11
01
00
00
11
11
00
01
00
10
00
00
10
11
10
00
00
11
10
11
00
10
10
11
10
10
00
00
10
10
00
10
00
01
10
00
01
00
00
00
10
10
01
10
10
01
11
10
01
00
10
00
10
00
00
01
00
10
00
10
01
10
10
00
11
11
01
10
10
01
10
10
10
01
00
10
00
10
10
10
10
10
00
00
11
00
00
01
10
10
00
10
10
10
10
00
10
00
00
10
11
00
00
10
00
10
01
01
10
10
11
11
11
11
00
00
10
00
10
10
10
00
00
00
00
10
10
11
10
11
01
11
01
01
10
00
10
10
00
11
00
00
00
10
10
11
10
00
10
00
00
11
01
01
11
10
00
10
11
10
01
11
11
01
00
10
01
10
11
00
01
11
11
00
10
10
01
00
00
10
10
10
11
10
01
01
00
10
00
00
10
11
01
00
01
11
00
10
11
11
01
00
10
00
11
10
00
01
11
10
11
10
11
10
00
00
10
10
01
10
11
00
00
11
00
01
00
01
10
10
10
01
10
00
10
10
11
00
00
11
00
00
00
11
11
00
00
10
00
10
00
01
10
11
00
11
00
01
10
10
10
01
01
10
11
00
10
10
01
01
11
10
01
00
10
10
00
00
10
10
00
00
10
10
10
11
00
00
00
01
11
01
11
10
01
11
00
00
10
10
00
00
10
10
01
00
01
10
10
11
10
00
00
00
11
11
11
10
11
10
00
10
01
00
10
10
00
00
10
01
00
01
10
10
01
01
00
00
00
10
01
00
11
10
11
00
01
00
10
11
10
00
00
10
11
10
00
01
10
10
01
00
10
00
00
10
00
00
11
00
11
00
00
10
10
10
10
01
00
11
11
10
11
01
11
10
11
01
10
10
01
11
10
00
00
00
00
10
11
01
00
01
00
10
10
10
00
10
00
01
00
01
10
10
10
11
10
10
01
00
10
11
00
00
11
00
10
11
10
00
00
10
00
01
00
10
11
10
11
11
01
01
10
11
11
00
11
11
00
01
00
11
00
10
11
10
00
00
10
00
00
10
10
10
00
10
10
01
10
01
10
11
10
10
10
01
10
01
11
10
11
00
00
11
00
00
01
01
10
00
11
10
10
01
00
01
11
11
00
10
10
00
11
10
11
00
00
10
00
01
00
00
10
00
10
00
01
00
01
11
00
00
10
10
01
01
11
01
10
01
01
00
11
11
00
01
10
01
00
00
10
10
10
00
00
11
10
11
01
00
10
01
10
10
10
00
00
10
10
01
10
10
00
10
00
10
10
01
00
01
11
00
10
00
00
01
10
10
10
10
10
10
00
00
11
10
11
00
00
00
10
10
10
00
00
01
00
00
01
10
11
10
10
10
00
01
10
00
01
11
01
11
01
10
10
00
10
10
00
10
10
11
00
11
10
01
10
00
10
01
01
00
00
10
10
11
00
10
00
10
10
10
10
00
10
01
00
10
00
00
00
10
11
10
10
10
00
00
00
10
10
00
01
11
01
00
00
00
11
00
00
10
10
10
10
11
00
00
11
10
11
00
01
01
10
11
10
11
10
00
01
10
01
00
11
00
01
11
10
01
00
10
10
00
00
10
11
10
01
00
00
10
11
00
01
00
10
10
00
10
10
00
00
10
11
01
10
01
00
01
10
10
01
10
11
00
10
10
11
01
10
10
00
00
01
00
10
11
10
00
00
01
10
10
00
00
11
00
10
10
10
10
10
11
01
11
00
00
10
01
11
00
01
11
11
01
11
11
00
10
11
01
00
11
10
00
00
10
10
10
10
00
01
11
00
11
10
10
00
00
00
10
00
00
11
10
11
10
00
01
00
00
10
11
10
10
10
01
11
11
00
00
10
00
00
00
00
10
10
10
00
01
00
00
11
00
11
00
10
01
01
11
11
11
10
10
00
11
01
00
11
01
01
01
01
11
11
01
01
10
01
11
10
10
11
10
00
00
11
00
11
10
00
10
11
00
00
01
10
00
10
01
10
10
01
00
10
00
11
01
01
00
10
01
00
01
00
10
11
11
10
10
10
11
11
11
00
11
10
00
00
00
11
11
11
11
10
00
10
11
00
01
10
10
10
10
00
00
10
00
10
00
01
10
10
00
00
10
11
10
00
00
10
10
10
11
01
10
11
00
00
11
01
00
11
00
00
01
01
11
00
00
01
01
10
00
11
10
00
10
10
00
10
11
00
10
01
01
00
10
10
00
01
10
00
11
10
10
01
11
10
00
00
00
00
10
10
10
00
01
01
01
00
10
00
00
10
10
10
11
00
01
00
00
01
10
00
00
00
10
10
11
10
00
01
11
00
11
00
00
00
01
01
11
10
01
01
00
11
10
00
00
01
10
11
10
00
10
10
01
01
10
10
00
10
00
11
10
01
10
00
10
10
00
01
00
11
01
00
11
10
00
11
10
00
10
10
00
10
00
00
10
11
10
10
00
00
00
10
10
10
10
00
00
11
01
11
10
00
00
10
10
00
00
10
01
11
10
01
10
10
10
00
11
00
11
10
01
00
10
10
00
10
10
01
11
01
00
01
00
10
00
01
00
10
00
01
10
11
10
00
10
10
00
00
10
10
01
00
01
10
11
01
01
00
10
11
00
10
10
10
00
10
10
10
00
00
00
10
11
01
00
01
01
00
11
11
11
01
10
10
01
00
00
10
10
00
00
01
10
01
10
11
01
10
01
11
10
01
00
11
10
01
01
10
00
01
00
10
10
00
00
10
10
10
01
11
01
01
00
10
10
10
01
00
11
11
11
00
10
10
10
01
00
10
11
01
00
10
10
11
01
11
11
00
10
10
10
00
00
11
00
10
10
00
00
10
10
00
11
00
00
01
11
00
11
11
00
10
00
10
10
11
01
00
01
11
00
00
00
01
10
10
00
11
00
10
00
10
01
10
11
00
01
10
10
00
11
00
00
00
10
00
00
00
00
10
00
00
11
11
11
10
10
01
01
10
01
00
01
10
11
10
10
01
01
11
11
01
01
00
01
00
11
10
01
01
10
00
00
10
01
00
11
01
10
10
10
11
11
00
00
10
00
00
10
00
00
10
11
10
10
11
10
10
00
01
01
00
10
11
10
11
10
01
00
00
01
10
01
11
00
00
00
01
10
01
00
01
11
01
01
00
10
10
00
10
01
10
11
10
10
00
10
00
10
00
00
10
10
10
00
10
10
00
00
10
10
10
11
01
10
11
00
00
10
10
01
00
10
10
01
00
11
10
00
10
00
10
00
00
01
10
10
01
00
10
11
00
10
10
00
00
11
11
00
10
10
01
01
10
10
00
10
10
10
00
01
10
10
00
00
00
01
10
10
00
00
10
10
01
00
01
10
10
00
00
00
10
10
10
10
00
10
00
11
00
10
10
00
10
10
10
11
00
11
11
10
01
10
00
10
10
00
10
10
01
01
11
11
10
00
11
11
10
01
11
10
10
10
10
00
00
10
11
01
00
11
00
00
00
00
10
01
10
11
00
11
10
10
01
00
10
10
01
01
01
10
10
00
01
00
10
01
00
10
10
01
00
00
11
11
00
00
10
00
00
10
10
00
00
10
11
00
00
10
00
11
11
01
10
10
00
10
01
01
10
10
01
00
00
01
00
00
11
10
01
00
10
10
00
01
01
10
10
10
00
01
00
00
01
10
11
11
00
11
10
11
01
00
11
01
00
11
00
00
11
00
01
10
01
11
10
01
10
10
00
10
10
01
00
10
10
01
00
00
00
01
00
01
10
10
10
10
00
00
10
00
10
01
11
11
00
00
00
10
00
01
11
10
01
10
00
00
10
10
10
00
00
00
10
00
10
01
00
00
00
11
10
11
00
10
00
01
10
01
00
10
01
01
11
10
00
01
11
10
00
01
10
10
10
01
10
00
11
11
10
00
01
10
10
01
00
01
00
00
10
10
01
01
00
10
10
00
10
10
01
00
00
10
01
00
00
10
11
10
00
00
01
10
10
11
10
11
10
00
00
10
11
10
00
00
01
11
10
00
00
01
01
10
10
11
10
00
01
10
01
00
00
01
00
11
01
00
10
10
00
00
11
00
11
10
10
11
01
11
10
11
01
11
10
00
10
10
00
00
00
00
00
10
10
00
10
10
01
01
11
01
10
00
10
00
01
10
10
00
00
00
10
10
01
10
10
10
00
10
10
00
10
00
10
00
10
00
00
10
00
10
00
11
10
00
01
00
00
11
11
11
01
01
00
10
10
00
10
10
00
00
00
10
00
10
10
10
00
10
11
10
10
10
00
01
00
00
10
00
00
10
01
00
01
11
00
00
11
11
00
00
10
10
10
11
10
00
00
11
10
00
10
01
10
10
10
00
10
11
10
10
10
10
10
10
10
01
00
10
00
10
01
10
01
00
10
10
11
00
11
10
01
01
00
00
10
01
01
01
11
00
00
10
10
00
00
11
10
00
00
10
11
10
11
00
10
10
01
10
11
10
00
10
11
00
00
00
00
01
00
00
00
00
00
10
00
01
11
11
10
11
00
00
00
01
10
10
01
11
10
00
11
11
01
01
10
01
00
11
10
10
01
00
11
10
10
01
11
00
00
10
10
01
11
10
10
11
10
01
10
00
11
10
00
00
00
11
11
00
01
11
11
00
00
10
00
10
10
10
10
00
00
01
00
11
10
10
00
00
10
10
10
00
00
11
00
01
10
01
01
11
00
00
01
11
01
00
10
01
00
01
10
10
01
00
10
10
10
00
10
11
00
10
10
00
11
00
10
11
10
00
01
00
00
00
11
00
01
10
11
01
11
11
01
01
10
10
10
00
10
11
00
00
10
10
10
00
10
10
00
10
01
00
10
00
01
10
11
00
00
11
10
10
00
01
10
10
10
10
10
00
10
01
11
00
11
00
00
00
00
10
10
11
00
10
11
00
10
10
00
11
00
11
00
01
00
10
00
01
00
10
10
00
01
10
10
10
00
11
10
10
01
01
10
10
01
00
10
10
10
01
00
00
00
11
00
11
00
10
01
11
10
11
00
00
01
00
11
10
00
00
01
01
11
11
01
00
10
10
10
00
01
11
10
00
00
00
00
01
10
11
00
01
00
10
10
10
10
01
10
10
10
11
00
00
11
00
10
00
00
10
10
00
00
10
10
01
11
00
10
00
00
10
10
11
10
01
01
01
01
01
00
10
00
00
00
10
10
00
00
01
10
10
11
10
01
10
11
00
01
11
10
11
01
10
10
00
01
11
10
00
10
11
11
00
01
01
00
00
11
10
00
00
10
01
10
10
10
00
00
10
00
00
00
10
01
11
00
11
01
00
10
11
00
00
10
00
10
00
11
10
00
11
11
01
00
00
11
11
10
10
11
01
00
10
00
01
10
11
01
10
00
11
00
00
10
11
10
10
10
00
01
10
01
10
00
00
00
01
11
00
10
00
00
00
00
10
00
00
01
00
11
00
00
00
00
00
00
01
10
10
10
00
10
01
10
00
01
10
00
00
00
10
00
00
10
01
00
10
00
00
10
10
10
01
11
10
10
00
01
10
10
10
00
10
01
11
11
00
10
01
00
00
10
10
01
10
01
01
00
11
10
00
00
01
10
10
11
00
01
01
01
10
10
10
00
00
10
10
00
10
10
10
01
11
10
10
10
11
11
01
00
00
10
01
00
01
10
11
11
10
01
10
11
00
10
11
00
00
10
10
00
00
11
11
00
00
10
11
01
10
10
00
01
11
00
11
10
10
00
11
00
00
00
10
00
00
01
10
01
01
10
00
10
00
00
10
11
00
00
10
00
11
11
00
00
10
10
11
01
00
11
10
00
10
11
10
11
01
00
00
00
00
00
00
10
10
00
00
00
10
00
01
10
00
00
00
01
11
10
01
00
00
10
00
00
00
10
10
00
01
00
01
01
10
01
01
00
01
10
10
00
10
10
00
00
10
01
00
10
10
01
11
00
11
11
11
01
00
01
00
10
10
10
00
00
10
10
00
01
11
11
10
10
00
11
00
01
00
10
10
00
10
00
01
10
11
00
11
01
00
01
01
10
01
10
10
00
00
11
10
00
01
00
10
01
10
11
01
10
10
11
10
10
11
00
01
00
01
10
00
10
00
00
10
01
01
10
10
10
01
00
11
10
10
10
10
10
00
10
10
00
00
01
11
00
00
01
00
10
00
00
10
00
00
10
00
00
10
01
11
01
10
00
00
01
00
01
10
10
11
01
10
10
00
10
00
00
00
11
01
00
10
10
00
00
01
10
01
00
00
10
00
01
11
11
11
10
00
10
10
00
00
10
11
01
01
10
00
11
00
10
10
00
01
00
10
01
00
00
11
10
00
01
00
10
10
10
01
00
11
10
00
11
11
00
10
00
00
10
10
01
01
10
11
10
11
10
01
11
00
10
10
10
10
00
00
00
01
11
01
11
10
10
11
10
00
01
10
10
01
01
10
10
01
01
10
10
00
10
01
10
00
11
11
00
00
00
10
11
11
10
11
00
11
11
00
00
10
11
01
10
00
11
00
10
10
10
10
10
00
11
00
00
11
10
00
10
00
11
10
01
01
10
11
00
00
11
10
01
00
11
10
00
01
11
10
01
11
11
11
10
00
00
00
10
11
01
00
11
11
10
01
00
00
00
10
10
10
11
01
10
00
01
00
00
10
10
11
00
10
00
10
01
00
00
00
00
11
10
01
11
10
11
00
00
10
11
00
01
10
11
00
11
00
10
11
01
10
10
00
01
10
10
00
01
10
00
00
00
01
10
00
00
10
11
01
00
10
01
00
11
00
10
10
01
00
00
00
10
11
11
00
00
10
11
10
00
00
00
10
10
01
00
10
00
00
10
10
10
10
10
10
01
11
10
00
00
00
10
10
10
01
10
10
00
11
11
01
00
00
00
11
11
10
00
00
11
00
00
10
10
01
11
00
01
00
00
10
00
10
00
01
11
00
00
10
11
01
10
00
01
10
00
10
11
10
10
00
10
11
11
00
00
10
11
10
10
10
11
10
01
00
00
11
00
00
10
01
00
01
10
10
00
00
00
10
10
00
10
00
10
10
10
01
01
10
11
00
11
11
01
00
00
00
11
11
10
11
01
01
10
10
10
00
10
10
01
11
11
00
10
01
10
00
00
10
00
11
01
00
01
11
00
01
10
10
10
10
00
00
00
10
01
10
11
10
10
00
01
11
00
01
00
11
11
10
11
01
00
10
11
10
00
00
10
00
00
10
11
01
10
10
01
11
00
10
10
00
01
10
00
00
11
01
00
10
10
00
10
00
00
11
10
10
11
10
00
01
11
00
11
00
10
11
10
00
11
10
00
00
11
01
00
00
00
00
11
11
00
10
00
10
01
10
10
10
10
00
10
00
00
00
10
10
10
10
00
01
10
00
00
10
00
11
10
11
10
11
10
11
00
01
11
11
11
10
10
00
00
01
10
10
00
00
10
10
10
00
11
11
00
11
11
01
00
00
11
01
00
11
10
11
00
00
01
01
01
10
11
01
00
01
11
10
01
10
10
00
10
00
10
10
01
11
11
11
10
00
01
01
10
10
00
00
11
00
01
11
01
10
00
10
10
10
01
10
10
11
01
00
01
00
10
00
10
00
00
11
00
10
11
01
11
00
00
00
01
10
00
00
10
11
11
10
00
00
01
11
11
10
00
01
11
11
00
00
10
11
11
00
01
01
10
10
11
10
00
11
10
11
00
00
10
01
00
00
10
11
00
11
01
10
10
01
10
10
10
00
00
01
00
00
00
01
10
11
01
11
10
11
01
00
01
11
10
10
00
10
00
00
00
11
10
00
11
10
00
00
11
10
10
00
01
00
01
01
10
10
00
11
01
00
10
01
01
10
00
00
10
00
01
10
00
10
11
10
11
00
10
00
00
00
00
10
11
00
10
01
01
11
11
01
01
11
10
11
00
00
10
00
10
10
00
10
11
10
10
10
00
11
01
11
10
11
01
00
00
00
10
11
00
11
00
01
10
00
10
10
00
00
10
10
10
00
11
01
00
00
00
01
10
01
00
11
10
00
00
01
00
00
10
10
00
00
00
10
01
11
11
00
01
01
00
10
01
01
01
10
10
10
10
01
10
10
11
10
01
10
00
01
00
10
01
00
10
11
00
10
10
01
00
11
10
01
00
00
00
10
01
01
10
10
11
10
11
11
00
01
10
10
00
00
11
10
01
00
01
01
10
00
01
11
00
00
10
01
10
10
11
00
01
10
01
10
10
00
11
00
10
11
00
00
10
01
10
10
10
00
01
10
00
00
10
01
00
11
00
10
10
01
00
11
00
00
11
00
10
11
00
11
00
01
10
01
00
00
10
10
00
00
00
10
00
01
00
10
11
00
00
10
01
01
11
10
10
01
10
10
00
00
10
11
10
01
10
10
10
01
00
10
10
00
11
01
10
00
00
11
10
11
00
11
10
00
10
01
11
11
01
00
01
10
01
10
11
01
00
01
10
00
10
01
10
10
01
00
10
00
11
01
01
11
11
10
01
00
10
10
01
10
10
01
00
00
11
11
00
10
00
10
00
00
10
10
01
10
10
10
00
00
10
00
00
11
11
10
00
10
01
00
10
10
00
01
01
00
10
11
10
00
00
00
00
10
00
01
10
11
00
10
11
11
00
10
10
00
00
11
10
00
10
00
01
00
10
00
01
11
01
00
00
10
10
10
10
00
01
11
01
01
11
00
10
10
10
10
00
00
10
10
01
01
01
00
01
01
10
11
11
00
01
00
10
00
00
10
10
11
00
10
00
11
10
10
01
00
00
10
10
11
00
10
10
10
00
00
00
00
11
11
00
00
00
00
10
10
10
01
11
11
10
00
10
10
00
01
10
11
00
11
00
00
10
10
00
00
00
11
00
00
01
01
11
11
01
01
01
10
11
10
00
00
10
10
00
01
10
11
00
00
00
01
10
01
10
11
10
10
11
10
10
00
10
11
00
00
11
11
10
10
00
01
10
10
00
01
10
11
10
01
11
11
10
10
00
01
00
10
10
01
00
10
10
00
11
00
00
10
11
00
01
00
00
00
11
10
01
00
10
11
10
10
00
10
11
10
10
00
11
10
00
10
10
10
10
00
10
01
00
00
00
10
00
10
10
00
00
10
01
00
10
11
00
00
01
11
10
11
10
00
10
01
00
10
01
00
10
10
10
11
10
01
01
01
00
00
00
00
00
10
10
00
11
11
00
11
00
11
11
10
01
00
00
10
10
01
10
00
00
00
00
00
10
10
01
10
10
01
11
00
10
11
00
10
10
11
01
10
10
00
00
00
10
10
10
01
00
01
11
00
00
00
10
00
00
00
11
00
11
01
11
11
11
00
00
10
10
10
00
01
10
10
10
00
00
10
00
00
10
10
00
00
10
00
11
11
10
11
11
11
00
10
01
00
11
10
10
00
10
01
00
00
11
10
00
10
10
00
00
11
10
01
10
01
10
00
11
11
00
00
00
00
00
01
00
10
10
10
11
00
00
10
11
01
11
00
01
10
10
10
10
10
00
00
01
00
01
00
11
01
10
00
10
01
10
00
00
10
10
00
10
11
10
00
01
01
10
00
00
11
11
11
11
01
10
01
10
00
01
11
10
10
00
10
11
10
00
00
10
10
01
11
11
01
10
10
00
10
01
11
11
01
00
00
01
10
10
00
11
01
01
00
11
11
11
10
00
11
00
10
00
00
10
10
11
10
00
00
01
00
11
10
11
11
00
11
10
00
00
00
10
00
00
11
10
10
00
01
00
11
10
11
01
00
00
10
10
01
00
10
10
10
10
10
10
00
00
01
00
00
00
10
10
10
01
10
01
10
00
10
01
10
00
10
11
10
10
10
00
11
00
10
00
01
10
00
11
10
10
01
10
11
01
10
00
10
11
00
10
00
01
00
00
00
11
11
11
10
00
00
01
10
00
01
10
00
10
00
01
11
11
11
00
00
10
10
11
01
01
10
10
10
00
10
00
00
11
00
10
10
11
00
01
10
11
10
10
11
01
11
10
10
00
00
10
10
10
00
00
00
10
11
10
00
11
00
01
10
01
00
11
10
11
10
00
10
10
10
00
10
10
10
00
01
01
00
11
11
00
10
10
01
00
11
10
00
01
10
10
10
10
00
10
10
00
11
00
00
11
10
10
00
10
00
00
10
10
10
00
11
01
10
01
00
10
10
10
10
10
00
01
00
00
01
10
11
10
00
00
00
00
10
10
11
01
10
01
00
10
01
10
00
00
00
10
00
00
11
01
00
00
11
01
10
00
10
11
00
01
10
00
00
01
00
00
00
10
11
00
01
01
10
11
00
10
00
01
10
11
00
00
01
10
10
00
10
10
10
10
00
01
01
10
11
10
10
10
10
11
10
00
00
11
00
10
10
11
01
11
11
10
10
11
01
11
10
00
01
00
01
10
10
00
00
10
11
10
01
01
10
00
10
10
01
00
10
00
00
10
00
11
00
10
00
11
11
10
01
10
01
00
01
10
10
00
00
01
10
11
00
00
10
01
00
00
10
00
00
11
00
01
11
10
01
00
10
10
01
11
01
00
11
00
00
00
01
11
01
00
00
01
10
11
00
11
10
01
10
01
00
10
11
00
01
10
00
00
00
10
00
00
10
00
00
00
10
00
11
10
10
10
11
11
01
01
01
00
01
01
11
10
10
00
00
00
11
10
00
11
00
10
11
01
10
00
10
10
00
00
11
10
10
10
00
11
11
01
00
00
10
01
11
11
00
00
01
10
11
00
11
00
11
10
00
10
10
00
10
00
01
01
00
01
10
00
00
11
10
10
01
00
00
10
10
10
10
00
00
10
10
00
11
00
10
00
10
10
01
01
10
01
10
01
11
11
01
10
10
00
00
00
10
11
11
00
00
10
00
00
10
01
00
00
10
00
00
10
11
10
00
11
10
11
01
00
00
00
00
01
01
10
11
00
11
00
10
00
10
10
10
10
00
00
10
10
01
00
11
11
10
11
01
00
01
11
11
00
00
10
01
10
11
10
11
11
11
01
10
00
01
11
10
10
00
00
00
10
00
01
00
10
00
10
10
10
01
11
10
01
00
11
10
01
11
00
00
10
11
00
00
10
01
10
01
01
10
10
01
11
11
10
00
10
10
10
10
00
01
10
00
10
01
00
11
01
11
10
10
10
10
10
00
10
11
11
01
00
10
11
10
10
11
00
11
10
00
10
00
00
00
11
10
01
10
10
10
00
10
11
10
00
00
10
10
11
10
00
00
10
10
01
00
10
10
00
11
10
00
10
10
10
11
01
10
01
11
10
10
00
01
10
11
01
10
00
00
10
11
00
11
10
11
00
00
11
11
11
00
11
11
11
00
01
10
10
10
10
01
00
11
00
11
11
10
10
11
01
00
00
11
10
11
11
00
00
10
10
10
00
00
10
00
11
00
00
00
00
01
10
10
00
00
10
01
10
10
01
10
11
00
00
10
11
10
10
00
00
01
00
11
11
00
01
00
10
10
11
00
10
00
11
10
01
10
01
10
10
01
01
11
11
10
01
01
10
00
10
00
11
10
10
10
01
00
00
11
10
00
10
11
00
00
10
00
00
11
10
00
11
00
10
11
01
10
10
01
10
00
10
11
01
10
01
11
00
00
01
10
01
00
10
01
01
10
11
00
00
00
00
00
10
00
11
00
11
11
00
11
01
00
00
00
01
10
01
10
00
00
01
11
10
00
00
11
00
00
11
10
00
00
00
10
00
10
00
10
00
00
00
01
10
11
00
10
10
10
00
11
11
00
10
00
00
11
11
00
00
10
00
01
10
01
10
00
01
10
00
10
00
00
10
10
00
10
01
10
00
10
00
00
01
00
10
11
01
10
10
10
10
00
01
00
00
11
10
11
01
01
11
00
00
10
10
10
10
01
00
10
00
01
10
01
01
10
10
10
11
00
10
00
01
10
11
01
01
01
10
01
11
01
00
01
10
10
10
10
01
11
00
00
11
11
10
11
00
00
00
10
01
10
00
10
01
10
11
01
11
11
10
10
00
01
00
10
01
00
10
11
10
00
10
00
10
00
11
10
10
00
11
11
10
01
11
10
10
10
00
10
01
00
01
00
00
00
01
00
10
01
00
00
00
11
00
01
11
10
11
11
00
10
11
00
00
00
00
00
00
00
11
11
01
00
10
10
00
10
00
10
10
01
11
00
01
11
11
00
00
00
10
11
00
00
10
10
10
00
10
00
00
00
00
01
11
00
01
11
10
11
10
11
00
10
10
00
10
10
10
01
10
10
11
10
00
01
10
01
10
00
01
10
10
01
01
10
10
10
01
01
00
10
11
00
00
01
11
10
00
11
10
10
00
10
01
00
00
00
00
10
10
10
01
00
00
10
11
01
00
00
10
01
00
11
10
00
00
10
11
10
10
11
01
10
10
00
00
00
11
00
10
11
10
00
00
11
01
00
11
00
10
11
10
11
10
11
01
10
10
11
00
01
00
10
00
00
11
11
01
01
11
10
11
10
01
10
11
01
01
00
00
10
10
11
00
00
10
01
01
10
10
00
00
11
10
00
10
10
11
10
11
00
00
10
00
00
10
10
00
11
00
11
01
00
10
10
10
10
01
01
10
11
00
01
00
10
11
00
01
00
00
10
00
10
00
11
00
10
11
10
00
00
10
11
10
00
10
10
01
01
10
10
00
00
10
10
00
00
10
10
00
00
00
10
10
10
10
00
01
10
00
01
01
00
00
11
11
00
01
11
10
00
10
00
00
00
10
10
10
11
10
00
00
10
00
01
01
00
10
10
00
01
11
00
10
10
00
10
11
01
01
10
10
10
01
10
00
11
11
10
00
01
11
01
01
00
11
10
10
00
10
11
00
01
11
00
00
00
00
10
10
11
00
01
01
10
01
00
00
10
11
00
00
11
10
01
10
11
00
10
11
00
11
10
10
01
10
00
00
01
10
11
10
00
01
11
10
01
00
00
01
00
10
10
11
00
10
10
10
10
00
00
11
11
01
10
10
00
01
01
00
01
10
10
00
00
10
11
00
11
11
00
11
10
00
11
11
00
00
11
10
11
00
11
00
10
01
11
10
00
01
11
10
11
00
00
10
10
10
10
01
11
10
10
11
00
10
10
00
01
11
00
11
01
10
01
10
00
00
00
10
10
10
00
00
11
01
00
10
01
11
00
11
01
10
10
00
01
00
11
10
10
10
10
00
00
10
01
11
10
11
01
10
11
11
00
00
00
10
00
00
10
00
11
10
00
10
10
10
01
10
10
10
01
00
01
01
00
00
10
11
00
00
10
01
00
10
10
00
00
00
01
10
01
01
10
01
00
01
01
00
00
11
10
10
00
00
10
00
00
10
10
00
10
01
01
00
11
11
00
00
10
10
00
01
10
10
00
00
10
00
11
00
11
11
11
01
01
10
01
00
10
11
00
00
11
10
11
01
10
10
10
11
00
00
00
10
11
01
01
10
10
10
00
01
11
01
00
01
10
00
10
10
00
10
10
00
00
10
10
00
00
10
01
10
10
01
01
10
00
00
00
10
00
01
10
10
10
01
01
10
00
10
00
00
10
00
01
10
01
00
10
10
10
10
10
00
00
00
10
01
10
10
00
10
10
00
11
01
00
00
00
10
00
10
11
00
01
10
11
00
01
10
00
00
10
01
00
11
11
00
11
11
10
11
10
00
00
10
11
10
10
10
10
10
00
10
10
01
00
00
10
01
10
10
01
00
01
00
11
10
11
10
11
00
00
01
10
00
00
00
10
10
10
11
10
01
00
10
10
10
10
01
10
10
11
01
10
11
11
00
01
10
10
00
10
10
00
10
10
01
01
11
11
11
01
11
10
11
00
01
10
00
10
11
01
00
00
00
01
00
00
00
00
11
00
00
10
01
11
11
01
11
11
10
01
11
11
00
00
11
10
11
10
00
01
00
10
10
00
01
00
00
10
11
00
00
01
00
11
00
01
10
10
10
00
11
00
00
01
00
10
10
11
01
00
10
10
00
01
10
10
00
11
01
10
10
00
00
00
10
11
00
01
10
10
00
10
00
00
10
10
11
01
01
10
00
10
00
00
11
11
10
11
00
00
11
01
00
11
11
00
10
11
11
01
01
11
00
00
10
00
01
11
10
00
01
10
00
10
11
11
11
01
00
10
00
11
10
01
10
10
10
01
11
00
00
11
11
00
01
01
01
10
00
00
10
00
00
10
00
11
10
10
11
00
10
11
00
10
00
10
10
10
00
00
10
10
10
11
11
00
00
01
10
01
00
01
10
00
00
01
00
11
11
00
00
10
00
10
11
00
00
01
11
10
01
11
10
01
00
10
00
00
10
11
01
00
00
10
00
10
10
00
00
10
00
10
11
00
11
00
00
10
01
00
00
10
11
10
01
10
01
10
00
01
00
10
00
11
10
00
01
11
10
10
11
00
00
10
11
00
00
00
00
11
10
11
01
11
11
10
10
00
11
10
01
00
10
11
00
00
00
10
10
11
00
01
10
10
11
00
11
10
10
10
10
10
00
00
11
00
10
10
10
00
00
00
11
00
00
00
01
00
01
00
10
10
00
10
00
00
10
11
00
11
00
11
01
01
00
11
00
00
10
01
11
11
00
11
10
10
10
00
11
10
00
00
11
10
00
00
11
01
11
10
10
10
01
00
00
10
00
01
00
00
10
00
00
00
11
11
11
01
00
00
01
10
00
01
10
11
10
00
01
10
10
01
01
10
11
00
00
01
01
10
01
00
10
10
00
11
11
10
00
10
11
00
10
11
00
01
00
10
10
11
11
00
10
10
00
00
10
10
01
01
11
01
01
00
10
01
10
10
01
00
10
00
10
00
11
00
00
10
10
11
10
10
10
11
10
11
01
11
10
11
01
00
10
01
01
00
10
10
01
00
00
11
10
00
00
00
11
00
11
10
00
10
11
00
01
10
11
00
11
11
10
11
11
00
00
01
01
00
10
10
01
01
00
01
11
11
00
11
10
10
00
00
10
11
00
00
11
01
00
01
10
10
10
11
00
10
11
01
10
01
11
10
00
00
11
10
00
00
10
00
01
00
10
10
00
01
10
00
01
01
01
00
11
11
01
10
00
10
10
00
00
11
11
00
10
10
00
11
10
00
10
10
11
10
00
10
01
00
10
00
00
11
01
00
11
11
01
10
10
01
00
11
10
10
00
01
01
10
00
00
10
00
10
10
00
00
01
00
00
11
10
00
00
10
01
10
00
10
00
10
10
10
11
10
10
10
00
00
11
11
01
01
10
11
00
10
10
00
00
10
10
01
00
01
10
00
01
01
01
11
10
01
00
00
11
00
00
10
00
00
11
00
10
01
00
11
00
10
11
10
00
00
00
10
10
10
10
01
01
01
01
10
11
00
00
10
01
00
11
00
01
10
01
00
00
10
10
10
10
00
00
10
10
10
10
00
00
10
11
00
11
00
00
00
10
11
10
01
00
10
00
01
00
10
00
00
10
11
10
10
11
11
01
10
11
01
01
01
11
11
00
00
10
00
10
10
01
00
00
01
10
00
10
10
11
10
00
01
00
11
10
11
11
01
11
01
10
10
00
00
01
10
10
01
11
10
01
10
11
00
10
00
01
00
10
11
01
10
10
01
10
10
10
00
10
11
01
10
01
00
00
10
10
00
10
11
11
10
10
01
00
11
00
10
01
10
10
10
00
00
01
00
10
00
10
10
01
10
01
10
11
10
00
11
11
10
01
10
00
10
01
00
00
00
10
01
10
01
10
00
00
01
00
11
00
11
10
01
10
01
00
10
00
00
00
10
10
11
11
00
01
10
01
00
00
00
10
10
10
01
00
00
00
01
10
11
01
01
11
10
10
00
00
11
01
01
10
11
10
10
10
00
10
11
00
00
10
10
11
10
00
01
10
00
00
11
11
10
01
10
01
10
10
01
01
10
10
00
00
01
10
10
10
10
00
01
10
00
01
10
10
10
10
00
00
10
00
01
00
00
11
00
00
11
10
10
10
10
00
00
00
00
10
00
11
10
10
10
10
00
10
00
01
00
10
10
10
01
00
00
10
10
11
10
11
11
00
01
01
10
00
10
10
10
00
00
11
10
00
00
11
00
01
00
00
11
11
10
00
10
10
10
10
01
11
10
00
10
10
10
10
00
00
00
10
00
00
10
10
01
11
00
00
10
10
00
10
00
00
11
11
11
11
00
00
10
10
00
10
10
00
10
10
10
10
10
01
00
00
11
10
11
11
00
11
01
01
10
00
00
11
00
00
00
10
11
11
00
00
01
01
10
01
11
00
11
11
11
10
01
00
00
11
00
10
11
00
01
11
00
01
10
10
10
00
00
11
10
10
01
00
10
00
10
10
00
00
10
00
01
01
10
00
11
11
00
10
00
10
01
01
11
00
01
00
00
10
10
11
10
10
00
10
01
01
11
00
10
11
11
01
11
11
00
01
00
01
10
11
01
00
01
11
00
01
10
10
01
01
11
11
01
11
11
00
00
10
10
01
00
10
11
11
10
11
10
00
01
10
11
00
00
10
10
10
01
10
11
00
00
01
10
10
00
00
10
10
00
00
00
01
01
11
00
10
00
11
10
00
11
00
11
00
11
10
11
01
00
00
10
10
00
11
11
01
10
10
11
01
10
00
01
10
00
11
10
00
10
10
00
10
01
00
10
11
01
00
01
00
10
01
00
11
10
00
01
10
00
01
01
10
11
00
10
10
01
01
11
10
00
01
11
10
10
00
00
00
00
10
10
10
00
00
10
11
00
00
10
11
11
00
10
10
10
00
10
10
00
00
00
10
10
10
10
01
00
11
11
10
01
10
10
00
11
11
00
11
10
00
00
10
00
10
00
00
00
10
11
10
01
00
10
00
01
01
01
10
10
00
00
11
00
01
10
00
10
11
10
00
01
10
10
00
11
10
11
10
00
10
11
00
00
00
10
10
00
00
11
11
01
10
01
00
01
00
11
11
00
00
10
10
01
10
10
00
00
00
10
11
00
00
11
10
00
10
00
00
10
10
00
10
01
10
01
10
10
00
00
01
11
11
10
11
11
10
00
00
01
00
01
11
00
00
00
10
01
00
10
10
00
11
10
10
11
10
00
00
00
10
10
00
01
01
11
00
00
10
10
00
10
10
00
01
11
00
10
11
00
00
00
10
00
11
10
10
01
10
11
10
01
00
11
10
00
10
00
11
10
01
00
01
11
10
10
11
00
10
00
00
00
10
11
01
00
10
11
10
10
10
01
00
00
00
11
00
11
11
11
11
01
10
10
00
10
00
00
10
10
01
01
10
10
00
00
01
10
11
01
10
11
11
01
10
11
00
01
00
10
00
10
00
10
11
01
10
11
10
10
00
01
10
10
00
00
01
00
00
01
10
10
00
01
10
10
00
11
10
10
01
01
10
00
00
10
10
10
10
01
00
10
00
11
11
10
01
01
10
10
00
00
10
00
01
10
10
01
01
10
10
00
00
00
10
10
00
10
11
10
00
10
10
11
00
00
11
11
01
11
10
00
01
10
10
11
00
00
10
10
10
01
10
10
00
00
11
11
01
10
01
00
11
00
10
10
10
10
00
01
00
10
00
01
11
11
00
11
10
00
10
10
10
01
00
10
00
00
10
10
10
00
00
00
10
11
00
01
00
10
10
01
01
00
11
10
00
10
00
10
10
00
01
10
00
00
10
00
11
00
00
00
10
11
10
01
11
10
00
11
01
00
01
00
11
00
00
10
01
10
11
00
00
01
01
10
10
01
00
10
00
10
11
10
00
00
00
00
10
00
00
00
00
00
00
10
10
10
10
10
00
00
00
00
11
10
11
01
00
01
10
00
10
00
00
11
01
10
01
01
01
01
01
11
10
11
00
01
00
10
10
10
10
00
11
11
01
11
00
01
01
10
10
10
01
10
10
00
01
00
00
11
00
11
10
10
10
11
10
01
10
10
00
01
10
10
00
01
01
11
10
00
00
10
11
00
01
11
11
11
11
10
00
01
01
01
10
11
00
10
01
00
11
10
00
10
10
10
00
10
10
00
10
11
10
01
00
01
00
10
10
10
00
00
11
01
00
01
01
11
00
00
11
10
10
00
00
11
00
00
11
00
01
10
00
01
10
11
00
00
10
00
01
11
11
00
01
00
10
10
00
10
11
00
11
01
00
10
00
01
01
01
10
00
10
10
10
00
00
10
00
00
10
00
10
00
10
00
00
11
00
10
11
01
10
00
00
00
00
01
10
00
11
11
10
10
10
10
00
10
00
00
01
01
01
10
00
11
11
11
10
11
11
10
00
00
11
00
11
11
01
11
01
10
10
00
00
01
11
11
00
10
00
00
01
01
01
10
10
10
01
00
10
11
00
00
00
01
10
10
00
01
10
01
10
10
00
00
11
10
11
01
00
10
10
10
00
10
10
10
00
00
00
01
11
00
10
00
01
00
00
10
00
11
00
01
00
10
00
10
10
00
10
10
00
00
00
10
00
10
10
11
11
01
01
01
10
10
10
01
00
10
11
00
00
01
11
10
11
01
01
11
10
00
01
10
10
01
10
01
10
01
00
01
10
11
00
01
10
10
11
01
10
11
01
00
10
01
00
10
00
00
01
00
00
11
10
10
11
01
10
10
00
10
00
00
10
10
00
01
10
00
00
00
00
00
00
00
01
10
00
10
01
10
10
10
11
11
00
11
10
11
00
11
00
01
10
11
00
01
01
10
01
00
10
10
01
00
10
01
00
10
10
11
00
11
00
00
01
10
10
00
00
10
10
10
01
10
10
00
10
00
10
00
10
10
00
00
01
00
00
11
11
10
10
11
11
10
01
10
11
10
00
01
00
10
10
00
00
00
10
00
11
01
11
00
10
11
00
10
00
00
11
11
10
10
00
00
00
00
10
10
00
01
10
01
01
10
11
01
10
00
10
11
01
01
10
10
00
00
10
10
11
00
01
00
10
01
10
01
10
00
00
00
10
01
10
10
11
10
10
10
00
10
00
10
10
00
10
00
00
10
01
00
01
10
10
10
11
00
11
00
11
11
11
00
01
11
11
00
10
10
11
00
00
01
10
10
00
00
00
00
00
10
11
10
11
10
00
00
01
01
10
10
00
10
00
11
11
10
10
11
00
01
10
11
01
10
00
01
10
00
11
10
00
00
10
10
10
01
00
00
01
10
00
00
00
11
10
01
11
00
00
01
10
00
11
10
11
10
01
10
10
10
00
00
10
10
01
00
00
00
00
10
01
10
10
10
11
00
10
11
00
10
10
10
01
00
10
00
00
10
00
11
10
10
10
10
11
00
10
10
10
00
11
11
10
00
11
01
11
00
00
10
10
10
11
11
01
01
10
00
10
11
01
00
10
10
00
00
00
11
10
10
01
11
11
11
11
01
10
10
00
00
01
11
10
00
10
11
00
00
00
11
10
10
11
00
00
11
00
11
10
11
11
00
00
10
10
11
10
01
00
01
10
11
10
01
10
00
10
11
10
01
00
10
11
01
00
00
00
11
10
11
00
00
10
01
00
10
10
11
00
00
10
11
10
00
10
01
11
00
00
01
01
10
10
10
01
10
00
10
11
01
10
01
10
10
00
00
10
00
01
10
01
00
00
10
10
11
00
00
10
11
01
01
01
11
11
01
10
00
00
10
01
01
10
10
00
10
11
11
00
00
00
10
00
10
11
01
11
01
10
11
01
00
00
11
10
10
11
01
01
10
11
00
11
10
00
10
10
10
10
00
00
00
01
01
00
00
10
00
00
10
10
11
10
00
00
00
00
10
00
00
00
11
00
00
00
00
10
10
00
01
11
10
11
10
00
01
01
10
11
11
01
00
11
00
01
01
10
11
00
11
10
00
01
10
10
11
01
10
01
01
10
10
10
00
01
10
11
01
00
01
11
00
00
10
11
10
10
01
01
01
00
00
11
11
10
00
00
01
01
01
11
10
10
11
00
00
10
00
01
00
00
11
10
10
10
01
01
00
00
00
01
10
10
01
10
11
00
10
00
00
00
10
01
01
10
00
10
01
11
10
00
10
01
00
00
10
10
10
11
11
11
10
11
00
10
01
10
01
01
10
10
00
00
10
01
00
10
10
00
10
10
00
00
00
10
01
01
00
01
10
00
10
10
00
10
00
00
11
01
01
10
10
10
10
10
00
00
01
10
00
10
11
01
10
00
00
10
00
10
11
00
00
10
00
10
10
10
10
00
01
00
00
11
00
11
00
11
10
10
10
00
10
10
00
01
00
01
01
10
00
10
00
01
00
00
00
01
11
10
11
11
01
00
00
10
00
10
10
00
10
00
01
01
00
10
01
00
00
00
00
01
10
10
10
01
00
00
00
11
00
00
01
00
10
10
10
11
10
10
10
00
10
10
10
00
01
00
11
00
10
10
00
01
01
01
11
01
00
00
01
10
11
00
10
11
01
10
11
01
00
00
10
00
00
11
01
00
11
00
11
10
10
01
10
10
01
00
10
10
11
10
10
10
00
01
01
11
10
11
01
00
01
10
00
00
10
10
10
10
00
10
01
00
10
11
10
00
00
00
00
10
00
00
00
11
00
10
00
10
00
10
01
00
00
00
00
10
10
00
10
00
00
01
10
10
00
10
00
00
10
11
00
01
10
10
11
10
00
11
11
00
00
00
10
00
10
10
00
10
10
00
11
10
00
00
00
01
00
00
10
00
01
01
01
11
11
01
00
10
10
01
01
10
11
00
00
00
10
00
00
10
10
10
00
11
00
10
10
11
10
10
00
00
10
11
00
01
11
01
00
00
11
10
00
00
11
10
01
00
11
11
11
10
00
00
01
01
11
10
00
00
11
00
00
00
11
11
10
10
00
10
11
10
11
00
01
10
00
10
01
11
10
00
11
00
00
11
10
11
00
01
00
11
10
10
10
00
10
11
11
00
00
00
11
00
11
00
00
10
00
00
00
11
10
10
10
00
10
11
01
10
00
10
10
00
11
00
01
10
01
10
00
10
11
00
00
10
10
00
11
01
00
10
01
01
10
01
00
00
10
00
11
11
01
10
10
00
10
00
11
00
00
01
11
10
11
01
01
00
11
11
01
01
00
01
00
11
10
01
00
10
00
00
10
01
11
10
11
00
10
10
00
10
00
10
10
01
00
00
00
00
00
11
10
10
01
01
01
00
11
10
11
11
10
00
01
11
10
00
00
11
01
00
10
11
10
01
00
00
00
11
10
00
00
11
11
10
11
10
10
00
00
00
00
11
10
11
00
01
11
01
10
01
01
11
10
10
00
11
01
00
10
00
11
11
00
10
11
00
00
11
01
11
10
01
00
11
00
00
10
10
01
00
00
10
10
10
00
01
10
10
00
00
01
10
01
00
00
00
10
10
01
01
00
00
10
00
01
10
10
01
10
00
00
00
11
01
10
00
11
10
11
01
00
01
10
10
10
00
00
11
01
01
10
00
10
10
10
00
00
10
00
10
01
00
11
00
10
00
00
11
10
10
01
11
11
00
00
00
10
11
11
10
01
00
10
01
11
11
11
00
10
11
01
10
11
01
01
10
10
10
10
00
00
00
10
00
01
01
11
00
00
00
01
00
10
10
01
10
10
10
00
01
10
11
10
00
00
00
00
00
00
10
11
00
11
00
00
00
10
11
00
11
10
00
01
01
10
11
10
01
11
10
10
11
00
01
00
11
10
11
10
01
10
10
10
00
01
10
00
00
11
10
01
00
01
10
00
11
11
00
10
11
00
10
11
00
00
00
11
10
10
00
00
10
11
01
01
10
10
10
00
01
01
01
10
10
00
00
10
11
00
01
01
00
10
10
11
00
00
10
10
11
00
11
11
10
10
01
10
00
10
10
00
11
11
10
01
01
10
01
10
00
00
01
00
01
00
11
11
10
00
00
10
11
11
01
10
00
00
10
00
10
00
00
01
10
10
01
10
10
10
10
10
10
11
01
10
10
11
10
01
00
00
11
00
11
10
00
01
10
01
01
00
10
00
10
01
10
11
00
01
10
00
10
00
00
10
10
10
10
11
01
00
10
00
00
00
10
10
01
00
01
01
00
10
10
01
10
01
00
10
00
00
11
00
11
10
01
00
11
00
10
10
00
00
10
10
00
10
10
01
10
10
00
00
11
10
10
00
00
10
01
00
10
01
01
10
10
10
00
10
11
01
11
00
00
10
00
01
10
00
10
10
01
10
01
01
00
01
11
10
01
10
10
10
10
00
10
00
11
00
10
10
00
10
00
11
10
00
11
11
01
11
00
00
10
00
01
01
10
10
00
10
00
10
11
01
00
01
10
11
11
11
01
00
11
11
10
01
01
01
10
10
00
10
10
01
00
10
10
10
00
10
00
01
10
00
00
11
11
01
10
00
00
10
10
11
01
11
10
01
00
01
00
10
11
00
01
10
00
00
10
10
00
10
10
01
00
10
00
01
10
00
00
10
00
11
11
00
00
00
00
01
10
10
10
10
10
00
11
00
01
00
00
00
11
00
10
01
00
00
10
10
10
00
10
11
00
00
10
00
11
00
00
11
01
00
00
10
11
01
00
00
00
11
10
00
11
11
00
11
10
10
00
10
01
01
01
11
00
00
10
01
10
00
10
00
01
10
00
10
01
00
00
00
00
10
11
00
11
00
00
01
10
00
11
10
01
10
10
01
11
00
00
00
10
00
00
10
00
00
00
10
10
01
10
10
00
11
00
11
00
00
00
10
00
10
10
01
10
10
10
00
11
00
10
10
10
00
01
11
00
11
10
00
00
01
11
11
00
00
00
10
10
00
10
11
01
01
10
01
00
00
01
10
11
10
00
01
10
10
11
01
00
10
01
11
01
00
00
10
10
10
00
00
00
10
00
11
10
00
00
01
00
10
01
10
00
11
00
00
01
00
01
01
10
00
01
10
00
00
10
10
11
00
10
00
00
00
01
01
11
00
11
10
11
00
00
11
10
10
00
10
01
10
00
00
10
00
00
00
11
11
01
11
10
10
10
10
00
10
10
01
10
10
01
01
00
10
01
11
10
00
10
10
01
11
01
01
00
10
00
11
11
10
00
01
01
11
00
01
11
00
11
00
01
10
10
00
01
10
11
00
01
10
11
00
10
11
10
10
01
10
11
00
00
11
00
00
10
01
00
00
10
10
10
10
10
01
01
00
11
00
11
00
00
11
10
01
00
10
11
10
10
00
00
11
01
00
00
10
00
00
10
00
00
10
10
10
00
01
00
11
11
00
00
01
01
11
10
00
10
10
10
00
00
00
10
10
11
01
01
01
10
11
00
01
10
10
00
01
01
10
11
00
01
10
10
10
10
01
01
10
11
01
00
10
00
00
01
00
10
00
11
00
10
00
10
11
01
10
01
00
10
10
10
10
01
10
00
00
10
01
11
11
11
00
01
11
11
00
01
10
10
00
01
00
10
00
00
10
10
11
10
10
01
10
00
01
00
00
01
01
10
10
10
11
00
01
10
10
01
00
00
01
10
10
10
01
00
10
11
00
10
00
10
11
00
00
10
00
00
11
01
10
11
00
10
00
00
10
11
00
01
11
10
01
01
10
01
10
11
10
10
00
00
11
10
00
10
11
10
00
10
00
10
00
00
00
11
00
11
10
00
10
10
10
10
00
01
10
00
00
00
10
10
01
10
10
00
00
10
01
10
00
11
11
00
10
00
01
00
10
11
10
01
10
00
00
00
01
00
00
11
11
00
10
10
01
11
01
11
10
10
10
10
10
01
00
10
11
01
00
00
00
11
10
01
01
10
00
01
10
00
11
10
00
10
00
00
00
11
10
10
00
10
01
01
11
10
11
01
00
00
01
10
10
00
00
01
10
10
11
00
01
11
10
01
00
10
11
00
00
11
11
11
10
01
10
10
01
01
01
10
10
01
00
00
00
00
10
10
10
10
10
10
10
10
00
01
01
10
10
10
00
10
10
10
00
01
11
01
11
01
00
10
10
00
10
11
11
01
10
10
10
00
10
00
01
01
00
10
00
01
10
00
00
00
10
00
10
01
00
10
11
10
10
00
00
10
11
10
10
01
00
00
10
11
00
10
11
00
01
00
10
00
00
10
01
00
10
01
01
01
00
01
10
01
10
10
01
00
01
11
11
01
00
00
00
00
00
00
11
00
11
10
11
00
10
10
00
00
10
11
00
10
11
00
01
00
00
10
11
01
00
11
10
11
01
00
11
10
10
10
00
00
00
01
01
11
11
11
11
11
00
11
11
00
00
11
10
11
10
00
10
11
00
00
10
11
10
00
10
00
00
00
00
00
11
10
01
00
11
10
00
10
11
01
01
10
00
00
10
00
00
10
10
00
00
10
00
10
00
00
01
11
00
10
11
01
00
00
00
11
00
01
10
01
10
00
10
01
10
00
00
11
10
00
01
10
00
00
10
10
11
01
11
10
00
11
10
01
10
01
00
10
10
00
01
00
11
00
10
00
11
10
00
01
00
00
00
11
11
00
10
10
00
01
00
11
00
00
10
00
00
00
00
10
00
00
10
11
00
00
00
10
00
00
11
01
01
00
11
10
11
00
01
10
11
00
11
10
01
11
00
10
00
11
10
10
00
00
11
10
10
00
01
10
10
00
00
10
00
11
10
10
00
10
11
01
00
10
00
11
01
00
11
10
11
10
01
10
10
10
00
00
10
00
00
10
10
00
00
11
00
00
00
10
10
10
10
00
10
00
01
01
01
10
00
10
10
00
00
10
10
10
00
10
01
10
01
01
01
11
11
10
10
11
00
00
10
10
00
01
10
10
00
01
00
00
00
11
10
01
00
10
00
01
00
00
11
10
11
00
11
01
01
10
01
10
10
00
00
10
11
10
00
10
10
11
00
00
11
01
10
00
00
10
00
00
10
10
00
00
00
10
11
00
00
01
11
10
00
10
00
00
11
00
01
01
10
10
00
10
01
10
00
10
10
10
10
00
10
00
01
11
11
11
10
01
01
10
10
00
00
10
10
00
00
11
01
00
10
10
01
00
11
10
11
01
01
01
00
00
10
00
00
10
01
10
10
11
10
01
11
11
11
00
11
11
11
10
01
00
10
11
10
01
01
10
10
10
00
11
11
01
01
10
11
00
00
10
00
01
11
10
00
00
01
00
10
10
00
00
01
10
10
00
00
10
10
00
10
00
00
00
10
10
11
00
00
01
11
10
00
10
00
01
00
11
11
01
10
11
10
01
00
10
01
10
11
10
10
01
00
10
10
01
00
00
00
10
00
01
10
10
00
11
11
00
01
10
01
01
10
11
01
11
11
11
00
00
11
10
01
10
11
01
10
00
10
00
00
10
10
00
11
10
00
10
10
10
10
00
00
01
10
00
10
11
10
10
01
00
10
11
00
11
10
10
10
10
10
00
11
10
11
01
00
10
10
11
00
11
10
10
00
00
10
10
11
01
01
10
00
11
10
01
00
00
11
00
10
01
10
10
00
11
10
10
00
01
01
00
00
11
10
10
11
10
10
10
00
10
10
10
00
10
00
01
11
01
11
01
00
01
10
01
10
10
10
00
00
10
11
10
00
10
00
00
11
10
00
01
00
00
10
00
10
10
00
10
00
11
01
11
11
01
11
11
10
00
11
10
01
00
11
10
00
00
10
11
00
01
01
00
11
10
01
01
01
11
00
00
10
10
00
00
10
10
00
11
10
00
10
01
11
01
10
10
10
10
11
10
00
00
10
11
10
01
01
10
10
10
11
10
00
00
10
10
11
10
01
11
11
00
00
01
00
01
11
10
00
10
10
00
01
00
01
10
00
11
10
11
00
11
10
10
00
00
11
11
11
01
11
01
11
11
10
00
00
11
10
11
10
00
01
11
00
00
10
10
01
01
11
11
01
10
10
00
10
00
01
10
11
00
00
00
11
10
00
10
00
00
00
10
01
11
10
11
10
00
00
00
01
00
00
10
10
01
10
11
00
10
00
10
11
00
10
00
10
01
00
00
10
00
01
10
00
10
10
00
00
01
01
11
11
00
01
01
00
01
11
11
01
00
11
00
01
01
10
11
10
01
01
11
00
00
11
10
00
00
00
11
01
10
00
00
11
01
00
01
10
10
00
10
10
10
00
01
01
01
01
00
10
00
11
10
00
11
11
00
10
10
01
10
01
00
10
11
01
10
10
10
10
10
00
01
11
01
01
00
00
00
10
11
00
00
11
10
00
00
11
10
10
10
00
00
10
10
10
01
00
10
10
11
00
10
01
00
10
10
10
10
00
00
10
00
11
10
10
00
11
11
11
01
00
00
10
00
00
10
11
11
11
11
10
01
01
00
10
10
10
00
00
10
00
11
10
01
01
00
11
11
00
10
00
10
00
01
10
10
01
00
00
00
00
10
10
10
00
10
10
01
11
10
10
00
00
01
01
01
11
11
01
01
00
10
10
00
01
10
10
10
01
00
11
01
10
10
01
10
00
00
11
01
01
01
11
10
01
11
11
11
00
00
00
11
10
00
00
10
01
01
00
11
10
00
11
00
11
00
01
10
10
10
00
00
00
11
11
10
10
00
11
11
10
11
11
01
10
10
01
00
10
10
00
01
11
10
00
11
10
10
10
00
00
11
00
11
10
00
11
10
00
00
10
10
00
01
10
10
00
00
11
01
01
01
00
10
01
10
00
01
01
11
10
11
11
10
10
11
00
00
10
10
10
10
10
00
11
00
00
01
10
01
11
10
01
01
10
11
01
01
10
11
00
11
10
00
00
00
00
11
10
00
10
00
11
11
01
10
00
10
00
00
00
10
10
00
00
10
11
11
11
01
11
10
11
01
00
10
10
01
10
00
00
10
11
01
11
00
00
00
00
10
01
10
01
00
00
11
11
00
01
10
00
00
11
00
11
11
10
10
00
10
00
11
10
00
00
00
00
00
11
10
00
11
10
11
10
10
01
00
10
10
10
00
10
11
01
11
00
01
10
01
00
00
10
10
10
00
01
11
10
11
10
01
00
10
01
10
10
00
11
10
00
00
00
00
00
01
10
10
11
01
11
11
00
10
00
00
00
10
11
01
10
00
00
00
01
11
10
10
10
00
11
10
11
10
00
00
10
10
01
11
11
10
00
01
10
10
10
00
00
01
10
00
01
00
00
00
10
00
11
01
00
10
10
01
00
01
10
10
11
10
10
11
10
10
00
01
01
00
00
00
01
00
10
10
11
00
11
10
10
11
10
11
00
11
00
00
11
11
10
00
00
11
10
10
11
10
10
00
11
00
01
11
00
11
00
10
00
00
11
10
10
01
11
10
10
11
00
00
00
10
00
00
10
00
11
10
00
00
11
00
10
10
00
00
10
00
10
00
00
11
00
00
01
10
10
01
00
00
11
11
10
10
01
10
00
00
00
10
11
00
11
10
00
00
00
00
10
00
00
01
00
10
00
11
11
11
10
00
11
00
00
00
10
00
00
11
00
00
00
10
11
01
00
10
00
00
00
01
10
00
01
00
11
10
01
10
10
01
00
00
11
10
00
11
10
00
00
00
11
10
00
00
11
10
00
10
11
01
01
00
10
00
00
10
11
10
00
10
10
00
00
10
10
00
00
00
01
11
10
00
11
10
00
10
10
00
00
10
00
01
10
00
00
01
11
11
10
11
01
01
10
01
00
11
11
10
01
00
11
11
10
00
01
10
10
10
00
10
00
10
10
00
10
01
01
01
00
10
01
01
11
11
00
01
11
11
11
00
00
00
01
10
10
01
11
00
10
10
00
00
10
10
10
11
00
00
11
01
10
00
10
00
10
10
01
00
01
10
10
00
01
00
11
10
00
01
00
10
11
11
00
10
10
00
00
00
01
11
01
10
11
00
01
00
10
10
00
11
10
01
00
10
00
10
10
10
10
00
11
10
00
00
01
00
10
00
11
11
00
00
01
10
00
00
10
00
00
11
10
11
00
10
01
10
00
01
00
10
00
10
10
00
10
00
10
01
00
00
10
10
10
10
11
01
00
01
10
11
11
10
00
10
11
01
10
11
01
11
10
11
00
00
10
10
00
00
10
00
10
11
10
11
10
00
10
11
11
10
10
00
00
11
00
10
10
00
11
01
10
01
00
00
11
11
01
00
10
10
00
10
10
00
01
10
10
10
01
11
00
10
10
11
10
00
10
00
00
00
01
10
10
10
10
10
10
10
00
11
10
00
00
10
01
01
00
10
11
00
11
10
01
00
11
10
11
01
10
10
00
01
10
10
00
00
01
10
00
00
10
10
10
10
10
01
10
00
10
00
10
10
00
10
11
00
01
10
00
11
01
01
11
10
00
10
00
00
10
11
00
10
10
00
00
10
10
00
00
10
10
11
00
01
00
11
01
00
10
00
00
00
00
11
10
10
10
10
11
10
10
00
01
00
10
11
01
11
11
01
00
01
11
10
10
00
01
11
00
10
10
01
10
01
10
00
01
00
01
01
00
11
10
11
10
00
00
10
01
00
10
10
00
00
11
00
00
00
01
10
01
00
11
11
10
01
10
10
00
00
10
00
00
01
10
11
10
00
00
00
10
00
00
11
00
01
01
10
10
01
10
10
10
00
00
10
10
10
00
10
10
01
10
00
11
00
10
00
00
01
11
01
10
10
01
11
10
00
00
10
11
10
10
01
10
00
00
00
01
10
01
11
01
01
11
10
11
00
00
10
01
10
10
01
00
00
11
10
11
01
10
00
00
00
01
10
10
10
01
00
10
11
01
10
00
10
10
00
00
00
10
00
00
10
01
10
00
00
11
11
11
10
01
11
10
00
11
10
00
11
11
01
00
10
11
00
10
10
01
10
01
11
10
10
00
10
11
10
00
01
00
10
00
10
10
00
01
10
01
10
10
00
01
11
00
00
10
10
10
10
00
00
11
11
00
00
10
00
11
00
01
11
11
01
00
11
00
10
10
00
00
10
10
00
00
10
11
00
01
00
00
01
11
10
01
11
10
01
10
00
00
10
01
11
01
10
10
01
00
10
11
00
00
00
10
11
00
01
10
10
01
00
00
10
00
01
00
10
00
01
10
10
10
10
00
00
00
11
11
10
11
00
11
00
00
10
01
10
10
10
00
01
10
10
00
11
00
00
00
01
10
11
00
10
10
01
10
01
01
11
01
10
00
01
01
11
00
00
10
10
01
10
10
00
00
10
11
10
00
10
00
01
00
11
00
10
10
10
10
00
01
11
01
10
10
00
10
01
00
00
11
10
10
00
00
10
00
00
10
10
01
00
00
01
10
11
11
00
00
01
10
11
10
11
10
00
00
00
11
00
00
10
10
11
01
01
10
11
00
00
10
10
10
00
11
00
00
01
01
10
10
00
00
10
11
00
10
01
00
11
00
01
01
00
11
00
00
10
00
00
00
10
11
00
10
01
00
11
11
10
10
10
10
10
00
01
00
10
01
11
00
01
10
01
11
00
10
11
10
00
10
00
00
10
00
00
00
11
00
10
10
10
00
10
11
00
01
11
10
11
10
00
00
10
00
00
01
10
01
10
00
11
11
01
00
11
11
01
01
00
01
10
10
00
00
11
10
10
00
11
10
01
01
01
11
10
00
10
00
00
10
01
01
00
10
11
01
10
01
00
11
10
10
11
01
00
11
10
00
00
00
11
01
00
10
00
11
10
10
11
10
01
00
00
10
01
01
10
10
01
10
00
10
01
01
00
10
10
00
11
00
01
10
10
10
00
01
10
10
00
01
00
01
01
10
00
10
10
10
11
01
01
10
00
10
00
10
10
10
01
10
00
11
00
01
10
10
11
10
10
10
10
01
10
01
01
00
11
00
01
10
11
00
11
11
00
10
10
10
00
10
11
10
00
01
10
10
11
00
00
10
00
10
10
00
00
00
10
00
00
11
10
00
00
11
01
00
11
10
10
01
00
00
11
00
11
00
10
00
01
01
10
10
11
10
00
01
01
10
10
00
10
01
10
00
00
11
10
00
01
10
00
00
00
10
00
00
10
00
00
10
11
00
10
00
01
11
00
10
00
01
10
00
00
10
00
11
10
01
10
01
01
00
00
10
10
00
01
10
10
10
11
01
11
01
00
00
00
00
10
11
01
00
00
11
10
00
00
11
10
11
01
00
10
11
01
01
10
01
01
11
00
11
10
11
10
10
11
00
11
10
01
00
10
01
00
00
10
10
01
10
11
10
00
00
10
11
10
00
01
01
10
10
01
00
01
00
10
11
01
01
00
10
10
11
11
00
00
10
10
00
10
00
00
00
10
10
11
10
11
10
01
00
10
00
11
00
00
11
11
10
00
01
00
00
00
10
11
10
11
00
10
11
00
00
10
11
00
10
00
00
10
00
10
10
11
00
10
00
11
11
10
10
00
10
01
00
11
10
10
10
10
01
10
10
11
10
00
01
11
00
10
01
00
01
00
10
10
00
00
10
10
01
00
01
11
10
10
10
00
00
10
10
00
00
10
00
11
00
11
00
01
01
00
10
10
11
11
11
00
00
00
00
11
10
11
01
00
10
10
00
10
01
11
10
11
00
10
00
10
01
00
10
10
00
00
10
00
00
01
10
00
10
01
10
11
00
01
11
10
10
10
01
10
00
00
01
10
11
11
11
00
10
10
00
00
00
10
11
11
10
00
00
01
11
00
01
01
10
10
00
00
00
00
11
10
01
00
10
00
00
10
10
11
00
11
00
10
01
11
10
00
01
10
11
10
11
00
00
01
00
00
10
10
00
00
10
01
00
10
10
11
11
00
01
01
00
00
00
11
01
10
11
10
01
01
00
00
10
01
11
11
00
00
01
00
11
10
00
00
10
10
00
10
00
10
10
11
10
10
10
01
00
00
00
11
10
11
00
10
10
00
00
00
01
10
10
10
01
00
01
10
00
01
10
00
10
10
01
10
01
11
10
01
00
01
00
11
00
00
10
00
11
01
10
11
00
00
10
11
01
00
10
10
11
00
10
11
01
00
00
10
10
10
01
00
11
10
01
00
10
00
01
10
10
00
00
00
10
01
01
00
11
00
10
00
00
10
10
00
01
00
10
10
10
01
00
10
10
00
00
10
00
11
10
10
10
10
10
00
00
10
01
01
10
11
00
11
10
10
00
11
00
01
10
10
10
00
10
00
00
01
10
00
10
11
00
10
01
11
10
10
01
00
00
11
11
00
01
01
10
00
00
10
00
00
00
10
10
01
00
11
10
00
11
01
00
10
00
00
00
10
00
10
10
10
00
00
10
00
00
11
11
10
10
10
10
00
10
11
00
00
11
01
11
00
11
10
01
00
00
10
11
00
10
01
00
00
10
10
00
11
10
01
10
01
11
10
11
10
11
00
00
10
11
00
01
11
11
10
10
00
10
00
10
00
01
00
10
10
01
10
01
00
10
11
01
10
10
10
00
11
11
10
10
01
00
10
00
01
01
10
10
10
11
01
11
10
01
01
00
00
10
00
11
00
10
10
01
10
01
00
10
00
10
10
10
10
10
11
01
01
10
00
10
00
10
11
11
00
10
10
10
10
01
01
10
10
00
00
10
11
00
01
01
11
10
00
00
11
00
01
10
10
00
00
00
00
10
10
00
00
01
11
00
10
00
00
00
00
10
10
01
11
00
01
00
00
00
01
10
00
11
11
00
00
11
01
10
00
00
11
11
01
11
11
00
01
01
10
01
00
10
11
01
00
01
10
10
00
00
10
00
00
10
00
01
00
01
10
00
01
10
11
10
11
01
10
00
10
00
11
10
00
00
10
00
00
10
10
10
00
10
00
00
10
01
01
01
00
11
10
00
11
10
01
11
00
00
10
11
10
10
00
10
10
10
10
00
10
10
00
10
00
10
10
11
11
00
10
10
01
00
10
00
11
10
11
11
00
01
10
10
00
00
10
01
01
10
00
10
10
11
10
00
00
10
11
10
00
01
00
00
01
10
10
01
10
10
00
00
01
00
01
11
00
10
10
01
00
11
11
11
00
01
11
11
00
00
01
10
10
00
10
10
00
10
11
00
10
00
10
10
01
10
10
01
00
01
01
00
00
11
00
00
11
10
10
00
00
10
01
01
00
00
10
00
10
01
10
00
01
10
00
01
00
11
01
00
00
00
10
10
01
00
01
10
01
00
10
11
10
00
00
11
10
11
00
00
00
10
10
10
00
00
01
00
00
01
00
10
10
11
10
00
01
01
11
11
11
10
00
10
10
00
00
10
11
10
11
10
10
01
10
10
01
10
10
00
10
00
10
11
01
10
11
11
01
11
00
10
10
00
00
10
10
00
01
10
11
00
10
00
01
10
10
00
00
11
10
11
00
00
10
11
00
10
00
01
10
00
00
10
01
10
10
00
10
10
00
00
10
10
10
01
01
00
11
11
00
11
10
10
00
11
10
10
00
00
00
10
01
10
10
10
10
10
11
10
01
00
11
00
00
00
01
10
00
10
10
11
01
00
00
10
10
10
01
10
10
11
10
00
10
00
01
01
11
01
10
10
00
10
10
00
01
10
01
10
00
01
00
00
10
00
00
11
01
00
00
00
10
00
10
10
00
00
10
10
01
00
00
00
01
00
01
00
10
11
10
00
00
10
11
00
01
10
00
01
00
11
10
10
00
10
00
01
00
10
01
01
10
10
10
11
00
10
11
00
01
00
00
00
11
10
11
11
00
10
10
01
10
10
10
01
10
10
00
00
10
10
10
11
10
10
00
00
01
00
01
10
00
00
11
10
11
00
00
01
10
11
11
00
00
10
11
00
10
10
10
11
11
10
00
00
01
11
00
00
11
10
00
10
10
10
01
00
10
01
10
11
00
01
10
10
01
11
10
00
10
10
10
01
10
11
00
10
10
10
00
00
01
10
01
00
01
11
11
00
01
11
10
11
00
11
01
11
10
00
11
10
11
00
00
01
11
10
01
00
10
01
00
10
10
00
10
00
10
00
00
11
00
11
00
10
01
10
00
00
11
10
00
11
00
01
00
11
10
00
00
11
00
00
10
11
01
00
01
10
10
00
10
00
10
10
10
01
10
11
00
00
10
11
10
00
11
10
11
01
00
00
00
11
10
01
00
10
00
10
11
00
01
11
01
00
10
00
00
01
01
10
10
00
10
00
10
10
01
01
00
11
00
01
00
00
11
00
11
10
10
00
01
11
01
10
10
10
10
00
00
10
10
00
00
00
00
01
11
00
00
01
00
00
11
10
10
11
01
01
01
00
10
00
11
01
10
10
01
00
00
00
10
10
00
00
11
11
00
11
00
00
10
10
00
01
01
11
10
01
10
10
10
10
00
01
10
11
10
11
10
01
11
00
00
10
10
10
11
00
00
10
11
10
00
11
11
00
11
10
00
11
10
11
10
11
01
11
00
00
01
00
01
00
10
10
11
00
00
00
11
11
00
11
11
10
11
00
01
01
01
10
11
00
01
10
10
10
10
00
00
10
10
00
01
10
11
00
00
00
10
10
00
10
10
10
10
00
01
00
10
00
01
01
00
00
10
11
00
11
11
00
10
10
00
00
10
11
00
10
11
00
11
00
00
00
10
00
00
10
10
11
01
10
01
11
00
00
10
11
11
10
01
00
11
11
00
00
10
00
11
01
00
10
10
10
01
01
10
10
00
00
10
01
00
11
10
00
00
00
00
10
00
01
00
11
10
00
00
01
10
00
00
10
00
01
10
10
10
01
10
00
01
10
00
00
11
10
00
00
01
00
10
10
01
01
10
00
01
10
00
11
01
00
11
00
10
01
10
10
01
00
01
11
01
10
00
00
10
10
00
10
10
10
10
01
10
00
00
10
10
10
00
00
01
00
11
00
10
11
10
00
11
01
01
11
11
10
10
10
00
00
10
10
01
10
00
10
11
10
10
01
10
00
00
10
00
01
00
10
10
10
10
01
10
01
01
00
11
11
00
00
01
11
11
10
00
01
00
00
00
10
10
00
11
00
11
10
10
00
01
00
10
00
10
10
11
00
01
10
10
00
10
00
00
10
11
00
10
10
00
10
00
01
10
10
11
10
01
00
11
11
11
00
11
01
00
10
01
11
10
10
01
00
10
10
10
11
00
00
00
10
10
00
01
11
01
10
00
10
10
11
01
00
11
10
00
10
00
00
10
00
00
11
00
11
10
00
00
00
11
10
11
00
01
10
11
00
01
11
11
10
00
10
10
10
00
00
10
10
00
10
10
00
10
10
10
10
10
10
00
00
00
01
00
10
11
11
01
01
00
11
10
10
00
00
10
00
10
11
00
00
00
10
00
11
00
11
01
10
10
00
00
01
11
10
01
00
00
01
00
11
10
10
00
10
10
10
01
00
10
00
10
10
00
10
10
01
11
00
00
10
00
10
10
10
11
00
10
10
00
10
01
00
01
11
10
10
01
11
11
00
00
10
11
00
10
00
01
01
10
00
11
00
00
10
01
11
10
00
00
00
11
00
00
01
11
11
01
00
01
11
10
11
10
10
00
00
01
00
11
10
01
00
11
11
00
00
10
00
10
10
01
00
10
11
10
11
01
00
10
10
10
01
00
11
10
11
01
10
01
01
10
01
00
10
00
00
10
01
11
10
10
11
01
10
10
10
00
00
11
10
01
00
11
11
10
00
00
11
10
01
00
01
10
11
00
10
10
01
01
01
10
10
00
00
00
10
11
01
00
00
11
11
00
00
10
00
10
11
01
00
11
10
11
00
01
11
00
00
11
10
10
00
00
10
10
11
10
00
01
00
01
10
00
11
10
00
11
00
00
01
01
00
00
00
10
01
10
00
00
00
11
10
00
10
01
00
01
00
10
10
11
01
11
10
01
11
00
10
00
10
10
10
01
01
10
10
00
10
10
10
01
01
11
00
01
00
00
10
10
11
11
00
00
10
11
10
10
00
10
00
01
10
10
01
01
10
11
10
00
11
01
10
11
10
01
00
10
01
10
00
00
10
11
00
00
10
00
00
00
00
11
01
00
01
10
11
00
10
10
00
11
10
01
00
01
10
10
10
01
01
10
01
11
00
00
11
10
11
00
00
00
00
10
11
00
10
01
01
01
11
10
01
00
10
00
10
10
01
00
01
10
10
00
00
10
10
10
00
10
10
10
11
11
10
11
11
10
00
10
11
00
10
00
01
00
10
00
00
11
00
00
10
10
00
00
00
10
10
10
00
11
11
00
01
00
10
00
00
01
10
11
01
01
00
10
00
00
10
11
00
01
00
10
10
01
11
10
11
10
00
11
01
00
10
10
00
11
11
00
00
00
00
10
00
10
10
00
00
10
01
10
10
00
11
00
00
10
10
00
00
10
10
10
01
11
01
00
10
00
00
00
11
10
00
10
10
00
10
10
00
11
10
00
11
01
11
00
00
10
10
01
10
11
01
01
00
01
11
10
11
01
10
11
11
10
11
00
00
00
10
11
00
00
11
00
00
11
00
00
01
10
00
01
10
10
00
01
10
00
00
11
10
11
11
00
01
10
10
11
00
01
00
01
11
00
10
11
00
01
10
10
00
10
01
00
10
11
11
00
10
01
00
00
01
00
10
00
10
11
10
00
01
01
11
00
00
10
00
11
11
01
00
11
11
00
10
11
01
11
11
10
10
00
10
00
00
10
11
01
00
10
10
10
10
01
01
00
00
00
10
00
10
01
10
11
10
00
11
01
01
10
10
00
10
01
00
11
11
11
00
00
10
00
10
10
10
01
00
00
00
10
11
00
11
01
00
10
01
00
11
00
01
01
10
00
00
11
11
01
10
10
01
10
11
00
00
10
10
10
10
11
00
00
00
11
10
00
10
11
01
11
10
01
10
01
10
00
01
10
11
00
00
10
10
00
00
11
11
10
00
10
00
01
11
00
00
10
11
00
01
10
00
00
00
11
01
10
10
00
00
00
00
10
10
11
10
00
10
10
00
10
01
00
11
10
10
00
11
00
10
10
00
01
10
00
00
10
10
10
00
11
00
00
10
10
10
10
01
10
00
00
10
00
10
10
01
00
10
00
11
10
10
00
11
00
10
10
10
10
10
10
01
11
10
00
10
10
01
00
10
01
00
10
11
10
10
01
00
01
10
10
10
00
00
00
10
10
00
10
01
11
00
10
00
11
00
10
10
00
01
10
10
00
01
10
01
00
10
00
01
10
10
01
00
11
00
01
10
11
00
00
10
11
10
00
11
10
00
11
00
00
00
10
00
11
01
10
10
01
11
01
01
10
10
01
00
00
01
11
10
10
01
01
01
10
00
10
01
00
00
10
10
00
11
00
00
00
10
00
11
11
11
00
00
10
10
10
10
00
10
11
10
11
10
00
10
00
11
10
10
00
10
00
00
10
01
01
10
10
01
00
10
10
10
10
11
01
11
00
00
10
01
10
00
00
10
10
00
10
10
11
00
10
11
01
10
10
10
00
00
11
10
01
01
00
11
00
10
01
00
10
01
00
10
10
10
10
10
00
00
01
10
01
01
10
00
10
01
10
01
00
00
00
10
00
00
00
10
10
10
01
10
10
10
01
00
00
00
11
01
10
10
10
01
00
00
00
11
11
01
10
10
00
00
10
00
10
10
10
11
10
00
01
11
10
11
10
11
10
11
01
00
00
00
01
10
10
00
11
11
11
10
10
10
11
00
00
10
11
10
01
11
10
00
00
10
10
00
00
00
01
10
10
01
01
10
00
00
01
00
11
00
00
11
10
10
01
00
10
11
00
10
00
00
10
10
00
01
00
10
10
01
10
01
00
01
00
10
10
10
11
00
01
10
10
00
11
01
00
11
11
10
00
01
10
10
00
00
10
00
00
10
00
01
01
10
10
01
11
10
10
00
11
10
00
00
11
10
00
01
10
11
00
01
01
00
00
01
01
10
11
00
10
11
10
10
00
00
10
00
00
10
10
11
10
00
01
00
10
01
01
11
10
00
01
01
10
10
10
00
01
10
10
00
10
00
00
10
10
00
00
11
10
10
01
00
10
10
10
11
10
01
10
10
10
00
00
10
10
10
00
00
00
00
10
00
00
00
01
01
00
10
10
11
11
10
00
00
11
10
01
00
10
10
10
00
01
00
10
11
00
11
11
00
00
10
00
10
00
00
10
10
00
00
00
10
11
00
00
11
00
11
00
01
11
10
10
00
11
10
00
01
00
10
01
01
10
10
10
11
00
00
00
01
10
10
11
10
11
10
01
00
10
00
01
01
00
11
10
11
10
00
00
10
10
01
01
10
10
00
11
00
00
10
10
00
10
10
10
00
00
10
00
01
10
10
00
11
01
10
00
10
10
10
00
10
11
11
10
00
10
10
10
00
00
10
00
00
00
01
10
11
00
01
11
01
01
10
00
00
01
10
10
11
00
01
11
00
00
10
10
10
01
01
11
01
00
00
00
10
00
11
10
10
11
10
11
01
00
11
11
10
10
01
00
00
00
00
10
11
01
11
10
10
01
11
00
01
10
11
01
11
11
00
00
10
10
00
10
10
00
01
10
10
11
00
10
11
00
11
00
01
11
10
01
10
10
00
00
01
00
10
11
01
00
11
00
00
00
10
10
10
00
01
00
01
10
10
00
01
00
00
00
11
00
10
10
00
11
10
10
00
01
11
01
00
10
10
00
10
00
01
10
10
10
10
00
10
01
01
11
10
10
00
10
01
00
10
10
00
11
00
00
01
11
10
11
10
00
00
10
10
10
10
01
00
10
00
00
00
11
00
00
11
11
00
00
10
10
10
00
11
01
00
01
01
11
11
11
00
10
00
00
10
11
10
00
00
10
10
11
00
01
10
10
11
00
01
11
00
00
00
10
11
11
10
00
00
10
10
10
10
01
00
11
10
00
01
11
10
00
10
10
10
10
11
00
00
10
10
00
01
00
00
00
01
11
10
11
00
10
00
11
10
00
00
10
11
10
00
00
11
00
11
10
00
10
11
01
10
00
01
00
11
01
11
01
11
10
01
00
11
00
01
10
10
00
00
10
11
11
00
11
00
00
00
11
00
00
01
01
11
10
10
11
10
01
11
10
00
00
00
10
10
10
10
01
01
10
11
01
01
00
00
10
11
11
00
01
01
01
00
01
11
11
00
01
00
10
10
01
01
11
00
00
10
00
01
10
10
00
10
00
00
00
00
10
10
10
00
00
10
10
11
00
00
11
11
00
00
10
11
01
00
00
00
11
01
00
00
11
00
01
00
10
10
01
10
00
10
10
10
00
10
10
00
10
11
00
10
10
10
00
00
11
01
10
00
11
01
11
10
00
10
10
01
00
11
11
10
00
10
11
00
11
10
10
00
01
00
00
10
00
10
11
10
11
00
11
11
10
10
01
10
00
01
10
11
00
10
10
11
00
11
11
00
00
00
11
10
10
01
00
00
00
10
11
00
00
00
00
10
00
00
10
00
01
00
00
11
00
01
00
10
10
10
00
01
00
11
10
11
11
11
11
10
10
00
10
10
01
00
10
01
00
01
10
00
11
00
10
10
00
00
10
00
00
01
10
11
11
11
00
01
00
11
11
01
00
01
01
00
01
10
10
00
11
10
11
00
00
00
10
01
00
00
11
01
00
10
01
00
11
00
00
11
10
10
00
11
11
10
00
00
11
00
10
01
10
01
11
10
10
10
10
00
00
11
00
00
01
10
10
00
01
00
10
10
01
10
00
10
11
00
11
01
01
11
00
10
11
01
00
10
00
00
10
11
10
11
01
10
00
10
00
10
01
01
10
10
00
01
10
01
10
10
00
00
11
01
10
11
11
01
10
10
00
00
00
10
00
01
01
01
10
10
10
11
10
00
10
00
00
11
00
00
10
10
11
01
11
11
10
00
00
00
10
00
00
11
00
01
10
00
10
00
00
10
00
00
10
01
10
00
01
11
11
00
10
11
00
00
01
00
10
01
10
11
01
11
00
00
01
11
01
11
00
00
00
00
10
11
01
00
00
00
10
00
01
10
10
10
01
00
00
00
10
11
11
10
00
10
10
11
10
00
00
10
11
10
01
10
10
00
10
00
00
11
10
00
00
10
00
00
00
10
00
01
00
01
00
00
00
10
10
11
00
00
10
10
10
10
11
11
10
10
01
10
11
00
00
01
00
00
10
00
00
00
00
10
10
10
10
10
00
01
10
01
10
00
11
10
00
10
11
00
10
10
00
00
10
11
10
11
10
00
00
00
11
10
01
00
00
00
10
11
00
00
01
00
01
11
00
11
10
00
00
00
10
00
11
10
00
00
00
00
11
01
00
10
10
01
01
11
01
00
11
10
10
10
10
10
10
01
00
01
00
10
00
01
10
01
00
01
10
00
00
11
10
00
00
11
10
00
10
10
10
01
00
01
11
11
10
10
11
01
00
01
11
00
01
11
10
10
00
11
00
00
11
10
00
10
00
00
01
01
10
10
01
11
00
01
11
11
00
00
10
11
10
00
10
11
01
01
00
11
10
10
10
01
00
10
00
00
10
10
01
01
10
10
01
11
10
00
11
00
00
10
10
11
01
11
01
10
11
10
00
00
01
10
10
01
00
10
11
00
01
11
10
00
11
00
11
10
10
11
00
10
01
01
11
10
10
10
10
11
10
01
00
00
10
11
10
00
00
10
11
00
11
11
10
00
10
00
10
10
00
01
10
11
11
10
00
11
00
10
00
11
10
00
11
01
10
10
11
01
01
10
10
01
00
11
11
11
01
10
11
10
00
00
11
11
00
11
10
00
11
10
01
00
00
10
10
11
11
00
00
00
10
11
11
00
00
10
10
11
00
01
10
11
10
00
01
11
10
00
00
10
01
00
00
10
10
00
00
00
10
10
01
00
01
10
11
10
01
11
10
10
00
11
10
10
00
11
10
00
11
00
00
10
01
01
11
10
00
10
00
11
10
10
00
00
00
00
00
10
10
10
10
10
01
11
00
01
11
10
10
01
00
10
00
01
10
10
00
00
00
00
00
00
11
01
00
00
10
11
10
10
01
00
11
11
11
10
11
01
10
00
00
00
10
00
00
10
01
11
00
10
10
00
11
10
10
00
00
00
00
11
10
11
00
00
10
01
00
10
00
10
00
10
11
00
00
00
10
00
11
10
10
00
11
00
10
11
00
01
11
11
00
01
10
00
00
11
10
10
11
00
01
01
00
11
10
11
11
11
00
00
00
10
10
11
10
00
01
01
11
00
11
10
01
00
10
11
01
11
01
01
10
00
00
00
10
10
00
01
01
11
00
00
10
00
00
10
01
00
11
10
00
00
10
10
00
00
01
01
00
10
11
01
01
10
00
00
00
10
10
10
00
11
00
10
01
00
00
00
11
10
10
00
01
00
11
10
00
00
00
01
00
10
10
10
10
00
00
10
00
10
11
10
01
10
00
00
10
00
10
10
00
01
11
10
11
00
10
10
00
10
11
10
00
00
11
00
01
00
10
10
10
01
00
01
10
00
00
10
11
00
00
00
10
10
00
11
00
11
10
00
10
00
10
00
10
00
00
10
10
01
11
00
10
10
00
00
00
10
00
10
10
11
10
11
11
10
00
01
10
10
10
00
01
00
00
11
01
11
00
00
10
00
00
10
10
00
01
11
11
10
10
11
11
10
10
10
01
00
00
10
00
00
00
01
10
10
11
00
00
11
11
00
00
00
11
00
01
00
00
01
11
10
11
10
00
11
11
10
00
11
00
10
10
11
01
00
10
00
10
10
00
01
00
10
11
00
00
10
00
10
10
00
00
10
11
10
00
00
11
00
00
10
10
10
11
01
00
01
00
11
10
11
10
11
10
01
00
01
00
10
10
00
00
10
00
00
01
11
00
10
00
01
10
00
10
10
10
10
01
00
10
10
00
00
10
00
01
00
10
00
00
10
11
01
10
01
10
11
01
10
00
11
00
00
00
00
00
11
11
11
11
11
01
01
10
00
01
10
10
10
00
00
10
01
10
00
01
00
01
10
10
11
10
00
10
01
01
10
10
00
00
00
01
11
11
10
01
10
01
00
10
01
00
10
00
00
10
00
10
01
00
11
00
10
10
10
11
10
01
01
01
10
11
11
00
00
11
00
10
01
01
10
11
00
11
10
01
10
11
01
00
10
00
00
10
10
01
01
00
10
01
00
10
01
00
10
01
01
11
10
11
00
00
00
10
00
00
11
10
10
00
00
10
11
00
00
00
10
00
11
11
01
00
00
10
10
01
11
11
10
10
01
00
11
01
11
00
11
10
01
00
10
10
00
00
11
11
00
01
00
00
10
10
11
01
01
10
11
01
10
00
00
11
10
10
00
01
00
11
00
10
00
00
00
11
10
00
01
10
00
01
00
10
01
00
10
10
00
10
10
10
00
10
00
01
00
11
01
11
10
10
01
00
10
01
11
10
11
11
10
10
10
00
00
00
10
00
01
00
10
01
01
10
00
00
00
10
11
11
10
00
00
10
00
01
01
00
10
00
00
00
10
11
10
10
01
00
00
00
00
10
00
10
10
10
10
01
10
10
10
00
10
00
11
00
10
00
00
00
11
01
00
00
10
10
00
01
10
00
11
11
01
00
11
10
00
01
11
10
00
00
00
00
00
10
00
00
11
10
00
00
11
10
00
10
00
00
01
01
11
00
10
10
00
01
00
10
10
01
11
00
00
01
01
11
10
10
01
01
10
10
10
01
10
01
11
10
01
00
00
11
10
00
11
01
00
10
10
00
00
01
10
10
10
10
10
01
01
10
01
00
11
00
10
10
10
10
00
10
10
01
00
10
00
00
11
00
11
00
00
11
00
00
11
00
01
10
10
11
10
10
01
00
00
10
10
00
11
11
00
00
11
00
01
10
10
00
10
11
10
01
00
01
00
10
00
10
01
01
11
10
01
10
10
11
00
10
10
10
00
01
01
11
11
00
01
11
10
10
00
10
10
10
01
01
11
10
10
00
11
00
11
10
11
10
00
10
00
01
11
00
01
00
10
10
01
00
00
00
10
00
00
10
11
10
01
11
00
01
00
10
10
00
01
10
00
00
01
10
01
10
10
10
00
00
00
01
11
01
00
10
00
00
10
01
00
10
10
00
10
00
10
10
11
01
00
00
00
00
10
01
01
11
10
11
01
10
10
10
10
01
11
00
01
10
00
00
00
11
10
11
00
11
10
00
10
10
00
00
01
10
00
00
00
00
01
01
10
10
00
00
10
01
10
00
00
00
00
00
00
00
10
11
10
10
00
01
10
10
01
00
11
00
01
01
00
11
10
10
10
00
00
10
00
00
11
11
01
10
01
11
00
00
01
10
10
11
01
11
10
11
11
00
11
10
10
00
00
01
10
10
10
00
10
00
01
10
10
10
00
00
10
10
00
10
01
01
11
01
00
00
00
01
00
11
00
10
11
11
11
10
01
00
10
00
10
10
11
00
01
11
10
01
10
11
01
11
11
10
10
00
10
10
00
01
00
00
00
11
10
00
11
00
00
10
11
00
01
00
10
00
01
00
00
11
11
10
00
00
11
10
01
01
00
10
00
10
10
11
01
01
01
10
01
00
10
00
00
11
10
10
00
01
00
11
01
00
10
00
00
00
10
10
00
00
10
11
00
10
00
01
10
01
10
10
10
10
00
00
11
10
00
10
10
00
00
00
11
00
10
11
11
11
01
10
11
10
00
00
11
10
01
10
00
10
10
10
00
01
10
00
00
10
11
00
00
10
00
00
11
00
11
10
01
10
00
01
10
10
00
00
11
01
00
00
00
11
10
10
01
10
10
00
10
11
01
10
11
10
11
10
10
00
00
10
11
00
00
01
00
00
10
11
00
00
01
11
11
10
10
00
00
00
10
00
00
10
11
11
00
11
10
10
00
00
10
10
11
01
10
10
01
00
10
11
01
00
10
11
10
10
11
01
00
11
00
11
00
00
10
01
00
10
11
00
11
00
10
01
01
11
10
10
10
10
00
00
01
10
01
10
11
00
10
00
10
00
00
01
11
01
00
10
11
00
00
10
01
00
10
10
10
10
00
00
11
11
00
01
00
10
11
10
00
00
00
01
00
10
01
01
10
11
00
11
10
01
00
10
00
00
11
11
00
00
00
00
10
01
10
10
10
01
00
11
10
01
00
10
10
00
00
11
00
10
10
11
11
10
11
00
01
00
10
11
01
10
11
00
00
11
11
00
01
11
11
00
01
00
11
10
00
11
10
11
00
11
00
01
10
11
01
00
10
10
00
00
10
00
10
00
00
11
10
00
11
11
10
01
01
11
00
10
10
10
01
00
01
10
10
10
10
00
00
10
10
10
00
00
11
11
01
00
00
10
10
01
11
10
01
10
01
00
00
10
11
01
00
01
00
00
00
00
01
10
10
00
01
10
10
10
01
10
11
00
10
00
10
00
10
00
00
00
00
01
00
10
11
00
10
00
10
10
11
11
00
00
10
10
10
11
11
01
00
01
01
00
10
11
11
00
01
11
11
00
00
00
00
00
10
00
00
10
11
10
00
01
00
10
00
01
01
10
10
01
10
11
10
10
01
10
10
10
10
00
01
01
00
01
01
00
10
10
10
01
11
10
00
01
01
01
10
00
01
10
10
00
00
10
00
01
10
10
01
01
11
10
00
11
10
11
01
00
10
11
10
00
00
10
01
10
10
00
11
10
00
00
10
00
00
11
00
11
01
11
10
00
00
01
00
10
11
01
10
11
10
01
00
00
00
10
10
00
10
01
10
10
11
11
00
00
00
00
11
00
10
10
00
01
10
01
11
00
11
10
10
11
00
10
00
01
10
10
10
11
10
10
11
11
01
01
11
00
10
00
01
00
00
11
10
10
10
10
11
01
01
10
00
01
00
00
10
10
00
10
00
10
01
10
00
00
00
01
10
10
10
00
10
00
01
11
00
00
10
00
00
00
00
11
10
00
10
10
10
01
10
11
10
01
00
01
10
01
00
10
00
10
00
01
10
10
00
00
10
01
10
01
10
10
11
10
00
10
00
00
01
10
10
00
10
11
00
10
00
10
00
01
10
00
00
01
10
01
01
11
10
10
01
11
11
10
00
01
10
10
10
01
01
00
10
01
01
00
11
11
01
10
00
10
10
10
01
00
11
11
00
10
11
00
10
10
01
00
10
00
10
10
00
01
00
10
00
11
10
10
01
01
01
10
10
11
00
11
00
01
00
01
10
10
11
01
10
00
10
00
01
00
11
10
00
00
00
10
10
11
00
01
10
01
10
00
11
10
01
10
01
01
10
10
10
10
01
01
11
00
11
00
00
00
10
00
00
11
01
00
01
10
11
11
10
00
01
00
10
00
00
01
00
10
10
11
11
01
00
10
00
10
00
00
00
11
10
01
00
11
11
00
11
11
10
11
11
00
01
10
10
00
10
10
00
00
10
11
10
10
01
10
00
00
00
00
10
10
00
00
10
10
11
00
00
10
01
00
10
11
00
10
00
10
00
11
10
10
00
00
00
10
01
00
11
10
00
00
11
00
10
10
00
00
10
10
00
11
00
10
10
00
00
10
00
01
10
00
01
10
00
01
10
00
11
10
11
01
11
01
10
10
11
00
01
11
10
00
11
10
11
11
00
00
00
10
00
11
01
01
00
11
00
00
11
00
10
01
11
11
10
01
10
11
01
10
01
00
10
00
10
10
10
10
00
00
11
10
00
00
10
01
00
10
11
10
00
00
11
01
00
11
10
11
00
00
00
01
00
01
00
10
01
00
10
11
10
01
01
01
11
01
01
00
01
11
10
10
01
00
00
10
00
10
10
11
11
01
10
10
01
00
11
11
10
10
00
01
00
10
10
10
01
11
10
00
11
00
01
00
11
10
10
00
00
10
10
11
01
01
10
11
01
10
01
00
11
10
01
10
01
00
11
11
00
01
11
10
00
10
10
10
00
00
10
10
00
01
01
00
00
10
00
00
11
10
10
10
00
11
10
01
01
11
11
10
00
01
01
10
10
10
00
01
11
01
10
00
10
01
00
11
00
00
11
10
10
00
00
11
11
00
11
00
00
10
00
11
10
11
00
10
00
00
01
11
00
00
10
10
10
00
10
01
00
00
11
01
10
00
01
00
10
00
10
11
10
01
00
00
11
11
01
00
00
10
00
01
00
10
10
00
10
10
00
01
11
01
00
11
10
11
10
10
01
10
00
11
01
01
10
01
11
00
11
00
11
11
10
01
01
11
11
01
01
11
10
10
00
00
11
01
11
10
00
00
00
00
10
10
00
00
11
10
10
11
00
00
10
00
11
10
10
00
01
10
11
10
10
00
10
11
00
11
01
00
01
00
10
11
10
01
00
11
01
01
01
10
11
00
00
10
10
01
01
00
10
10
00
10
10
00
01
10
11
00
10
11
10
00
01
01
11
10
01
01
10
10
00
10
11
01
00
10
11
00
01
10
10
01
01
11
10
00
00
00
11
01
00
11
00
10
10
00
01
10
11
00
00
10
00
00
10
00
00
10
11
10
10
10
00
01
00
01
11
00
00
01
10
10
00
00
11
10
01
10
01
10
10
01
10
00
00
00
10
00
00
10
00
01
00
00
10
10
00
10
10
01
10
11
00
00
10
00
10
00
00
10
10
00
00
00
00
10
10
00
00
00
01
10
11
10
00
10
10
11
01
00
10
10
11
00
00
01
00
10
11
11
00
11
10
00
01
00
10
11
00
01
10
01
11
01
10
01
00
11
01
10
10
00
01
00
11
11
00
10
00
10
00
11
11
10
10
00
11
10
00
01
11
11
00
01
00
10
00
00
11
11
10
00
00
10
10
00
10
10
10
10
00
01
10
10
11
11
00
10
11
01
10
10
00
11
00
01
10
10
01
00
10
11
11
00
00
10
00
00
00
10
10
00
10
10
01
11
01
10
10
01
10
00
00
10
00
01
10
00
10
00
00
11
11
10
11
01
01
00
01
01
11
00
01
10
11
00
01
01
10
00
00
00
00
10
11
11
10
00
00
11
10
10
00
00
00
00
00
11
00
01
10
11
11
10
11
00
10
11
11
00
00
01
10
00
11
01
00
10
10
10
10
00
00
10
00
01
01
00
00
11
00
10
10
01
00
11
10
10
01
01
00
11
10
00
01
10
00
00
00
10
01
10
10
11
10
10
10
01
00
10
00
11
11
10
00
00
00
00
10
10
10
11
10
10
10
10
01
01
10
01
01
10
11
10
11
00
11
11
10
10
00
00
11
10
00
00
10
00
10
00
00
11
11
00
11
00
00
00
11
10
10
00
00
00
00
10
00
00
00
00
00
10
10
10
11
11
00
00
10
00
11
00
00
01
10
00
11
00
11
01
01
11
10
00
00
11
10
01
01
00
10
01
00
11
11
01
11
11
11
10
10
01
00
10
11
01
00
11
01
00
11
01
10
01
00
10
00
01
10
10
10
00
11
10
01
10
00
01
01
01
10
10
00
10
10
00
10
10
01
00
10
10
11
00
11
00
00
00
10
10
10
10
10
00
10
00
01
10
11
01
00
11
01
00
01
11
11
10
10
00
00
11
10
10
00
10
10
10
11
00
10
00
11
00
10
00
10
00
00
00
11
00
01
10
10
10
00
00
11
10
00
01
10
10
00
01
11
00
11
11
11
10
10
00
00
11
10
01
01
10
10
11
11
01
11
10
00
00
10
10
00
10
01
10
00
11
00
11
01
00
10
00
10
10
00
01
11
10
01
00
01
10
11
11
00
10
00
11
10
00
00
11
10
00
10
00
00
10
10
10
10
00
10
10
10
00
00
10
00
01
10
00
00
00
11
01
00
01
01
10
00
10
10
01
01
11
00
00
00
10
01
01
00
10
00
00
10
01
11
00
10
00
10
00
11
10
00
01
10
11
01
00
01
10
11
11
11
10
01
00
11
00
01
00
10
00
00
01
10
00
01
00
11
11
01
11
11
00
01
10
01
00
10
10
00
01
10
11
01
01
11
10
00
00
01
00
10
10
01
01
00
00
00
00
00
00
10
10
10
10
00
01
00
00
10
00
00
10
10
00
00
00
11
01
10
01
00
00
10
10
00
00
11
10
00
11
00
00
10
11
00
11
10
01
01
01
00
10
11
00
00
11
10
01
00
00
01
10
11
00
01
10
10
01
00
00
11
10
00
10
10
00
10
10
10
11
01
00
10
00
10
00
10
00
00
10
11
10
10
10
00
00
01
10
00
00
10
01
10
00
11
10
00
00
01
01
10
00
00
10
11
10
10
10
00
00
01
10
11
10
00
01
01
10
00
01
10
01
00
01
10
11
00
10
10
01
00
11
01
10
01
01
00
10
00
00
11
01
00
10
10
00
00
01
00
00
10
10
11
01
11
00
00
00
10
01
10
01
01
00
10
10
00
01
10
10
10
00
00
11
10
00
10
01
00
10
10
00
11
00
11
00
10
01
11
11
11
10
01
00
10
01
00
01
11
10
11
10
10
10
10
00
01
10
11
00
11
11
00
11
10
11
01
01
11
00
10
11
10
01
11
10
00
11
11
00
00
10
10
00
00
10
00
11
10
10
01
00
01
11
10
00
10
10
10
10
00
01
10
11
10
10
10
01
01
10
11
10
00
10
10
00
11
00
11
11
00
01
01
00
00
01
00
00
10
10
10
01
00
11
11
00
10
00
11
01
11
10
10
10
11
11
01
11
10
01
11
11
00
00
01
10
10
01
01
10
10
10
10
00
10
10
10
11
00
00
11
10
01
11
01
00
11
10
00
00
10
10
01
10
11
10
11
10
10
10
00
00
01
00
10
11
10
10
11
11
10
11
10
00
10
00
00
10
11
10
00
00
10
10
00
10
10
11
00
00
10
10
10
11
10
01
10
10
00
10
10
01
00
11
00
10
10
10
11
00
10
10
10
10
01
00
10
10
00
10
10
10
01
00
10
00
10
00
10
01
01
00
10
10
11
10
00
00
01
00
10
00
10
01
10
00
10
11
11
00
01
00
10
00
10
11
00
01
01
10
01
00
11
10
11
01
11
00
01
11
01
00
11
00
11
10
00
10
10
00
01
11
10
10
00
11
00
00
00
01
00
10
10
00
10
11
10
10
10
01
00
10
00
01
11
10
11
01
11
00
10
00
00
10
01
11
10
11
11
00
10
10
01
00
00
11
10
10
01
00
11
10
00
00
10
00
10
10
00
01
00
01
10
10
00
10
11
00
01
11
01
01
10
01
01
11
10
00
00
10
11
00
11
11
00
10
11
01
10
01
00
10
10
00
00
00
11
11
00
10
00
10
01
00
10
00
11
01
10
10
00
10
10
00
00
11
01
00
01
00
10
00
10
11
01
11
10
11
10
10
00
00
01
10
11
01
11
11
10
01
00
00
10
10
11
00
01
10
00
01
10
00
10
11
00
00
10
10
00
10
10
01
00
11
10
10
11
10
01
00
11
10
00
10
11
10
11
11
01
00
10
00
10
11
01
01
01
00
11
00
10
00
10
10
00
11
10
10
10
10
01
00
00
11
10
01
00
00
00
01
10
10
11
00
00
01
00
01
11
11
10
10
10
01
01
10
10
00
00
00
00
01
11
11
00
01
10
00
00
01
10
10
00
00
10
00
00
10
00
10
10
00
01
10
10
00
10
10
01
11
01
01
01
00
10
01
00
11
11
00
10
01
11
10
00
10
01
01
00
01
00
10
01
01
11
00
11
10
10
01
10
00
00
10
10
00
00
11
10
11
00
01
11
11
01
00
10
01
10
10
01
01
10
10
00
10
00
11
00
11
10
00
00
01
10
00
11
10
00
10
00
00
11
10
10
10
01
00
10
01
01
00
00
11
10
00
00
01
11
01
10
01
11
00
10
00
00
00
10
10
10
00
00
10
10
10
10
00
10
10
00
11
01
00
11
11
00
00
10
10
10
10
00
00
00
00
00
00
11
00
10
10
00
01
11
10
00
01
00
00
00
10
00
10
10
01
00
10
10
01
01
11
10
11
10
11
11
10
10
00
01
00
01
11
11
00
00
00
10
11
00
00
10
01
00
10
00
10
00
00
00
10
10
00
00
10
11
11
01
01
11
01
01
00
10
11
00
00
10
10
10
00
00
11
01
00
00
00
10
10
10
00
10
10
00
10
10
00
00
10
10
11
00
00
01
01
00
00
11
10
11
10
01
00
00
11
11
00
01
10
11
11
11
01
10
00
00
10
11
10
01
01
01
10
01
01
01
10
10
00
01
10
10
10
01
10
00
11
10
01
00
10
01
00
10
00
00
01
11
00
01
11
10
00
10
01
11
01
01
10
00
10
01
00
10
11
00
00
10
01
00
00
10
10
01
00
10
00
10
10
10
10
00
00
10
00
10
00
00
11
11
00
00
01
00
00
01
10
00
00
10
10
11
10
11
10
00
11
11
00
00
10
00
00
01
11
11
11
11
00
00
10
10
01
00
10
00
00
00
00
00
10
11
10
10
10
10
10
11
00
01
01
00
01
11
00
01
10
10
00
01
10
11
11
00
10
01
10
11
11
10
00
01
10
10
10
01
10
01
00
11
01
11
10
00
00
10
00
01
00
10
00
00
10
10
01
00
00
00
10
10
00
11
10
10
10
01
01
11
01
00
10
10
10
10
10
00
00
11
11
11
00
10
01
01
11
10
11
01
01
10
10
00
11
10
00
00
10
11
11
00
10
01
10
10
10
01
10
10
01
10
00
10
00
00
11
01
01
10
10
11
10
00
00
10
10
11
00
01
00
11
00
10
00
00
10
10
00
01
01
01
00
10
00
01
00
01
11
11
01
01
10
00
00
10
10
01
01
01
00
11
00
10
01
00
00
10
11
00
10
00
11
10
01
01
11
10
01
10
10
10
00
00
00
10
01
00
11
10
00
11
10
00
11
10
10
00
01
11
00
10
10
10
01
00
00
01
01
11
10
10
00
00
10
00
11
10
10
01
01
00
00
10
01
11
01
10
00
10
01
00
11
01
00
00
00
10
10
10
00
00
10
10
11
00
00
00
00
01
01
10
10
00
01
00
00
11
11
10
00
00
10
10
11
00
01
10
01
10
00
00
01
11
01
00
11
11
11
00
00
10
00
00
10
00
00
00
10
10
10
10
10
00
00
11
10
10
01
00
00
00
10
10
00
11
00
01
11
00
11
00
11
10
00
00
00
10
11
00
00
00
00
00
10
10
00
00
10
00
00
10
01
11
10
01
10
10
10
01
10
10
00
10
00
10
00
10
11
01
00
11
11
01
00
11
11
11
10
00
11
10
00
00
10
10
10
11
00
00
10
10
01
00
10
01
10
10
00
00
11
11
00
11
00
10
00
00
11
10
11
01
01
10
10
00
00
00
10
00
00
11
11
01
10
10
11
00
00
10
10
00
00
10
11
00
01
10
10
00
00
10
01
10
10
10
00
10
11
00
10
10
00
01
11
00
10
11
10
10
00
10
00
10
11
01
00
10
01
00
10
10
11
01
01
10
10
10
01
00
11
00
00
11
00
01
00
10
11
11
10
01
01
10
10
01
10
10
10
01
10
10
00
00
10
11
01
01
10
10
00
00
01
00
10
10
10
10
00
00
01
00
01
00
11
00
11
00
10
11
11
00
00
10
11
10
00
00
01
11
10
10
11
00
10
00
11
10
11
00
00
00
01
00
10
10
00
00
00
10
10
00
00
11
10
10
11
01
01
10
00
10
00
01
11
01
00
10
11
00
00
11
11
01
10
11
00
10
11
00
10
10
01
10
01
00
10
01
01
10
11
10
01
11
10
00
00
10
10
10
10
00
01
11
00
01
10
10
10
11
00
01
00
10
01
00
01
00
11
00
01
00
10
11
00
10
11
11
11
10
01
00
11
10
01
10
11
00
01
00
10
00
01
10
10
11
00
00
10
10
00
00
11
10
00
01
01
00
10
10
10
11
00
10
01
01
00
10
10
10
00
00
10
01
00
00
10
11
00
00
10
11
11
00
10
00
01
10
01
10
10
10
00
01
00
00
10
10
11
00
10
00
11
01
11
01
01
00
10
10
01
00
01
10
10
10
00
00
10
01
00
10
00
01
00
10
00
01
10
11
10
00
11
10
10
10
11
01
10
10
01
10
00
00
10
10
10
00
01
00
11
01
10
00
11
00
00
11
10
00
10
10
01
00
10
10
00
00
10
11
00
00
11
00
01
10
11
10
00
10
01
01
00
00
11
10
01
11
10
11
11
10
10
00
00
10
00
01
00
11
00
00
01
11
10
11
01
00
10
10
10
00
01
10
00
11
00
10
00
00
11
00
00
10
00
00
11
01
10
01
01
01
10
10
01
01
01
11
10
00
00
10
10
01
10
10
01
11
01
00
10
01
00
11
11
11
00
10
10
01
00
10
00
00
00
10
00
11
11
10
11
01
10
10
01
01
01
10
10
10
10
00
10
10
00
01
11
00
00
11
10
00
10
01
01
00
00
10
10
00
00
00
10
00
10
00
11
01
10
01
10
10
10
00
01
01
10
10
10
00
01
10
10
00
00
11
10
11
00
11
01
00
00
10
11
01
11
11
10
10
00
10
01
01
00
01
10
01
00
11
00
01
10
10
01
10
10
01
01
10
10
00
00
01
01
01
11
00
01
10
10
00
00
11
10
10
01
10
01
00
10
11
00
11
10
00
00
01
11
10
01
11
00
00
10
00
10
11
00
00
10
10
00
00
10
01
00
11
10
10
10
11
10
00
10
10
00
00
00
11
01
00
10
11
00
00
10
10
11
00
10
00
01
10
11
10
00
00
01
01
00
00
10
10
11
10
00
00
00
10
10
10
10
01
00
10
10
01
00
10
00
10
01
00
11
11
11
11
10
10
01
00
10
11
01
00
01
00
11
10
10
10
10
10
01
10
00
00
01
10
11
00
10
00
11
10
00
00
10
10
00
11
10
10
00
11
00
10
00
00
11
10
00
01
00
01
01
10
01
00
10
10
10
10
10
10
00
00
10
00
01
11
10
00
00
00
11
01
10
00
01
10
10
10
00
01
01
10
11
01
00
10
11
11
00
01
00
11
10
00
10
00
00
11
00
01
00
00
00
11
10
11
00
01
10
10
10
10
10
11
10
01
01
10
10
00
00
10
00
00
00
01
01
11
01
00
00
01
11
10
01
10
10
10
01
00
11
10
00
10
00
11
11
00
11
10
00
10
00
10
11
10
00
11
00
01
01
10
00
01
00
10
10
00
11
00
11
00
10
10
10
01
01
10
01
01
10
01
11
10
00
10
10
10
10
01
11
01
01
00
01
10
00
10
10
10
00
01
10
10
00
01
11
10
00
11
00
00
10
11
00
11
00
11
10
10
11
10
11
00
01
00
10
10
01
00
10
00
00
11
00
10
11
10
00
00
00
10
00
10
10
00
01
10
11
00
11
11
10
00
01
00
10
00
00
10
01
00
10
11
10
00
01
10
00
10
00
10
11
11
10
11
01
01
00
01
00
10
00
00
10
10
11
00
10
10
10
11
01
00
10
10
00
11
10
10
10
00
00
11
11
00
00
10
01
10
10
01
01
00
11
00
00
10
10
00
01
10
10
00
10
10
10
10
10
00
00
10
00
10
10
00
10
00
01
01
10
11
00
10
11
10
10
11
01
00
10
10
01
10
11
00
00
00
11
11
10
10
11
01
00
10
11
00
01
10
11
00
00
11
00
10
11
10
00
11
00
10
11
10
00
00
10
10
00
10
11
01
10
00
00
11
10
10
01
10
00
00
00
01
11
10
10
10
00
01
10
00
00
00
00
10
01
10
01
01
10
10
10
00
11
01
00
10
10
10
11
10
00
11
10
01
11
01
00
10
11
10
10
00
10
00
11
10
00
10
00
10
00
10
10
00
11
10
00
00
00
10
11
10
10
00
10
01
10
11
01
11
01
10
11
01
10
11
01
00
01
10
11
10
00
00
11
00
00
00
00
10
10
00
11
00
11
10
01
10
10
00
11
01
00
10
11
01
01
00
10
00
00
11
10
10
00
00
10
10
10
00
00
00
00
00
11
01
01
10
10
01
00
01
10
10
00
00
01
01
10
01
00
10
10
00
11
10
10
00
00
00
00
11
11
10
00
01
10
00
00
00
01
01
00
10
10
00
10
10
11
10
11
00
01
01
00
01
00
01
10
10
00
00
11
10
01
00
00
11
10
10
01
11
10
11
11
00
00
00
10
11
11
11
11
10
10
00
10
00
01
11
00
11
10
10
11
10
01
10
00
00
01
10
00
10
10
01
01
11
00
00
00
11
10
00
00
11
01
00
11
00
00
10
00
11
10
00
00
00
10
00
10
10
00
10
10
00
01
10
10
00
10
10
01
00
00
10
00
10
00
00
10
10
00
00
10
10
10
11
00
00
11
10
01
01
10
10
00
11
10
00
01
10
10
00
00
10
11
10
11
00
10
00
10
10
00
00
00
00
11
11
11
00
01
11
01
11
10
00
10
01
10
11
00
00
10
10
11
01
01
10
10
00
10
11
10
01
01
10
10
11
11
01
00
00
11
01
11
10
01
00
10
10
01
00
01
10
10
10
00
00
10
11
10
00
00
01
10
01
10
00
10
11
01
10
11
01
01
10
01
00
00
01
10
11
00
10
11
11
00
01
10
11
00
00
00
10
00
11
10
00
10
10
10
11
01
00
01
00
11
01
01
10
01
00
10
00
11
10
00
00
10
00
10
00
00
00
10
10
10
01
10
10
10
00
00
00
11
10
11
11
10
11
00
10
10
11
01
10
00
00
00
00
11
01
10
00
10
00
01
10
10
10
01
00
00
11
00
01
00
00
10
10
11
00
00
10
11
00
01
00
00
10
11
00
10
11
00
01
01
00
10
11
01
00
10
10
10
01
10
00
00
00
10
10
11
11
00
01
10
00
00
00
00
10
10
01
00
10
10
01
00
10
01
01
01
00
11
10
00
00
10
11
00
00
11
00
00
10
10
00
01
10
11
00
10
00
01
00
10
10
00
10
11
10
00
10
11
10
11
00
00
01
00
10
10
00
00
01
10
10
11
11
10
11
10
00
01
10
01
10
10
11
01
01
10
00
01
00
10
01
01
10
10
00
10
10
10
00
00
10
01
00
11
00
01
10
11
10
00
10
00
00
11
01
10
10
11
01
00
00
11
10
11
00
00
10
10
10
10
11
00
10
00
01
11
01
00
00
10
10
11
10
10
00
01
01
11
01
10
10
10
00
01
10
10
10
11
10
10
00
10
00
00
11
00
01
11
10
00
10
01
01
10
10
10
00
01
01
00
00
01
10
10
10
00
00
10
10
10
10
10
10
11
10
01
00
10
10
10
00
00
01
11
10
00
11
10
10
00
01
10
00
01
10
10
10
11
01
10
10
10
01
01
01
00
10
00
01
10
00
00
10
10
00
00
11
11
00
10
01
10
10
10
10
11
10
10
10
00
10
00
10
01
00
00
11
10
10
11
10
10
00
00
00
00
10
10
00
00
00
11
00
00
00
10
00
00
00
11
00
11
00
10
00
01
11
11
10
01
11
11
00
01
10
11
10
00
00
10
11
01
11
11
01
00
10
00
10
00
00
10
10
00
10
10
11
00
10
00
01
01
10
11
01
00
10
10
10
10
11
01
00
01
10
01
00
10
00
00
11
00
01
10
11
10
11
10
00
00
10
00
00
10
11
10
01
01
00
00
00
00
01
00
10
10
00
11
11
00
00
00
00
10
10
10
00
01
11
11
00
10
00
00
01
10
00
00
11
00
00
10
10
01
11
00
10
10
10
10
11
10
00
00
11
00
10
10
01
00
10
00
10
10
10
10
00
10
10
10
10
10
01
10
11
00
00
10
00
10
10
00
10
00
01
10
01
00
10
11
00
00
11
10
11
10
00
00
01
01
10
01
00
00
01
10
11
10
00
00
10
00
10
00
10
00
00
10
11
10
01
00
00
00
01
11
00
01
10
01
00
10
01
10
10
00
10
10
11
10
10
01
11
01
00
00
10
00
10
10
01
00
11
10
10
00
00
10
10
10
10
00
11
11
01
01
01
10
11
11
10
11
00
11
01
00
00
10
00
01
11
11
01
10
10
11
00
00
10
00
00
00
00
10
11
10
10
10
10
10
00
11
10
10
01
10
10
01
01
01
01
11
10
01
10
11
11
00
00
00
10
10
01
01
10
11
01
11
11
11
10
00
01
01
10
10
01
10
11
10
01
10
10
00
00
10
10
10
00
10
00
00
01
00
00
11
00
10
01
00
10
11
11
11
01
01
00
10
01
11
11
00
01
00
11
00
11
01
00
11
11
10
10
00
00
11
01
00
11
10
10
11
01
10
11
00
00
10
10
01
00
01
10
11
00
11
01
10
11
00
01
11
11
00
11
01
10
00
00
00
11
01
01
11
00
11
00
00
10
00
00
11
11
10
00
00
00
10
10
10
01
01
01
10
10
10
11
01
00
10
11
00
11
10
00
01
11
10
01
01
10
11
11
10
00
00
11
11
11
00
01
01
00
11
10
00
00
11
10
00
01
10
00
00
00
10
11
00
00
10
00
11
00
10
11
00
00
10
00
01
10
10
10
00
01
00
01
10
01
11
01
10
11
00
10
00
00
10
11
00
01
10
10
10
00
10
10
01
00
00
10
10
00
10
11
10
11
00
01
00
10
00
10
10
00
00
10
00
00
10
10
01
11
00
11
10
10
00
10
10
00
11
00
10
10
10
10
00
11
10
11
10
10
00
10
01
00
11
10
01
00
10
11
11
00
10
00
00
11
00
00
10
10
10
11
11
11
00
10
00
00
01
01
11
11
10
10
10
10
00
00
10
10
00
10
01
10
10
11
10
00
01
00
01
11
10
00
11
10
10
01
00
10
11
01
00
00
10
01
10
11
10
10
00
00
01
10
11
00
10
10
00
00
00
11
01
00
01
10
11
00
10
01
00
10
11
00
01
00
10
10
10
01
10
10
00
00
00
10
11
00
10
11
00
10
00
00
10
10
10
00
11
10
00
10
10
00
00
00
00
10
11
11
01
11
00
01
00
00
10
10
00
00
00
10
11
00
00
10
10
11
00
01
10
10
11
10
10
11
00
00
00
00
00
11
10
10
01
00
10
10
00
01
10
11
00
10
10
00
01
01
10
10
10
00
10
00
00
10
10
10
01
10
10
10
10
01
00
00
01
10
11
10
11
10
11
00
00
01
00
00
00
11
10
00
10
10
00
01
00
11
10
00
00
00
00
00
00
10
10
01
01
11
00
10
00
01
10
10
11
01
00
11
00
01
00
10
10
10
00
01
11
11
01
10
00
10
11
00
00
00
10
01
10
11
00
00
11
00
01
11
00
01
10
00
01
00
10
10
10
00
10
01
11
01
11
00
10
10
01
01
10
10
00
00
00
11
10
00
10
00
00
11
01
10
10
10
00
00
11
00
00
00
10
11
10
01
00
00
10
10
10
00
10
10
00
00
10
11
10
00
00
10
01
00
10
01
00
10
00
11
10
00
00
10
10
00
00
10
11
00
01
11
10
00
11
00
01
11
11
00
00
00
10
11
00
00
10
10
10
01
01
10
10
00
10
11
00
01
00
00
00
10
10
11
11
01
00
00
10
11
00
01
11
10
11
10
01
00
01
11
00
10
10
01
00
10
01
10
11
11
10
00
01
00
10
11
00
00
11
10
00
01
10
11
01
11
10
10
01
10
10
01
00
11
00
10
10
01
00
10
11
10
10
10
01
00
10
00
00
10
00
01
00
11
00
01
01
10
01
11
11
00
01
10
10
10
00
01
00
01
11
10
00
01
11
11
00
00
10
00
10
00
10
10
00
00
10
10
10
10
01
11
00
01
10
01
00
01
11
10
00
00
01
11
10
10
00
10
10
00
00
10
00
00
11
01
00
00
10
11
00
00
10
00
11
01
11
10
01
00
00
00
11
01
00
01
11
00
00
01
11
10
10
00
01
10
10
00
10
10
00
10
01
00
00
11
11
10
11
00
00
10
10
00
10
01
01
10
10
10
00
10
00
00
00
00
10
00
00
10
00
11
00
10
00
00
11
11
00
00
00
01
00
10
10
01
10
00
00
10
00
11
10
00
01
00
10
00
11
10
01
01
10
11
00
11
11
01
00
01
10
10
01
10
10
01
00
11
10
11
00
00
10
01
11
11
00
10
10
10
01
01
10
10
00
01
10
10
00
00
00
11
10
00
00
11
00
01
00
10
11
10
10
00
00
11
01
10
10
00
10
10
00
10
01
11
00
01
00
00
01
11
00
10
00
10
00
10
11
10
01
00
01
00
01
01
01
00
10
11
00
00
11
00
00
00
10
11
11
10
01
00
11
10
11
00
11
11
01
10
10
01
00
10
11
00
01
00
00
00
10
11
11
10
01
00
10
00
01
10
11
10
00
00
00
00
00
11
00
01
11
10
10
11
10
01
00
11
01
11
00
10
10
10
11
01
00
00
10
10
10
00
11
00
00
11
10
10
00
11
10
00
01
01
00
10
11
00
10
00
10
10
00
11
10
11
00
10
00
10
00
00
00
10
00
10
10
10
10
10
00
00
10
10
00
11
11
00
01
10
00
10
10
00
11
00
01
00
01
11
01
10
11
00
10
00
00
01
10
00
10
10
00
00
00
10
00
11
10
00
11
00
00
10
00
00
00
10
10
00
01
00
11
10
01
00
00
11
10
00
01
10
01
00
11
10
01
00
10
00
00
00
10
00
00
11
11
01
11
10
00
00
01
10
10
00
00
01
00
00
11
10
00
10
10
10
00
00
11
11
10
11
10
00
00
00
10
10
01
11
11
01
00
11
11
01
00
11
10
10
01
00
11
00
11
11
01
00
01
00
00
01
01
00
10
11
10
00
10
00
00
10
10
10
00
11
00
10
10
11
00
01
10
00
10
00
11
00
00
10
11
11
11
01
10
01
01
10
10
00
00
10
00
00
11
11
10
10
00
00
00
10
00
00
10
10
00
10
00
00
10
11
10
01
10
10
00
10
10
11
01
01
00
11
00
00
10
00
10
11
00
01
11
00
10
11
00
00
01
10
10
10
01
11
00
00
01
11
10
01
10
11
00
00
10
11
00
00
01
10
01
00
01
00
10
10
00
01
10
11
10
10
01
10
10
10
11
01
01
10
01
00
00
00
10
11
00
00
10
01
10
01
10
01
00
11
01
11
01
01
10
11
01
10
00
01
11
11
00
01
10
00
00
01
11
10
10
00
10
00
00
10
10
11
01
00
01
11
01
01
10
10
00
10
10
10
00
01
01
11
11
11
00
10
10
10
00
00
10
10
11
01
01
01
11
11
00
00
11
11
00
00
10
10
01
10
00
10
10
10
10
10
01
01
10
10
00
00
11
11
10
01
00
10
00
10
10
00
00
10
10
01
10
00
00
11
10
00
00
10
10
11
10
00
10
11
10
00
00
11
11
11
00
01
11
11
10
01
11
10
00
10
01
00
01
10
11
10
10
10
10
01
00
01
10
00
11
00
10
00
00
10
01
00
10
10
10
00
00
10
00
00
10
10
01
11
00
00
10
10
10
00
10
00
00
00
00
10
10
10
00
00
01
00
11
01
10
00
00
10
10
11
01
00
10
11
01
11
00
00
00
10
10
11
10
00
00
10
00
11
01
00
11
00
00
10
00
01
10
10
00
11
11
11
00
10
11
11
00
10
01
00
00
00
00
10
10
00
10
00
10
01
10
11
11
00
00
11
10
10
00
00
00
10
10
10
10
00
11
10
11
00
00
00
11
01
11
10
10
10
10
10
00
00
11
11
10
11
10
10
10
00
01
01
01
00
01
10
11
00
10
11
00
00
11
11
11
10
00
00
10
10
01
00
10
11
00
00
00
01
11
00
00
10
11
01
01
01
00
11
10
01
10
10
01
00
10
00
11
00
00
10
10
10
00
00
11
00
00
10
11
01
11
00
11
00
00
01
10
11
00
00
10
10
01
00
10
10
10
01
11
11
01
10
00
00
10
10
11
01
01
11
10
11
10
10
10
01
00
11
00
01
10
10
01
10
00
00
00
10
00
00
10
11
01
00
00
10
01
00
10
01
11
11
01
01
00
11
01
10
11
00
00
10
11
01
10
00
00
11
01
10
10
10
01
00
00
11
00
00
00
00
10
10
10
00
01
11
01
11
11
01
10
10
01
01
10
10
10
00
10
11
00
00
10
10
01
11
00
10
11
11
00
00
00
10
00
10
11
01
01
00
00
01
11
10
01
00
10
01
01
11
00
00
00
10
00
10
11
01
00
10
10
10
00
10
00
10
10
01
01
10
01
10
00
10
11
00
01
10
10
00
00
11
10
01
00
10
00
10
10
00
00
01
00
10
10
10
00
10
10
00
10
01
10
11
11
10
01
11
01
01
00
10
11
00
01
00
10
11
10
00
10
01
00
11
10
00
00
11
00
00
11
11
11
01
00
11
10
00
00
00
10
10
10
01
01
11
01
11
11
11
10
11
01
01
10
10
00
00
11
10
00
10
11
00
00
11
10
10
10
01
00
11
11
10
10
00
01
00
10
10
01
00
10
10
10
00
00
01
00
00
11
01
00
10
00
00
11
10
11
10
11
00
11
10
00
10
00
01
10
01
10
00
10
10
00
10
01
10
10
10
00
00
10
00
00
10
10
00
01
01
00
10
11
10
10
10
10
00
11
11
00
00
10
11
00
00
10
10
01
10
11
00
01
11
11
00
10
10
00
00
11
00
00
00
00
10
11
01
10
01
00
11
10
11
10
10
00
00
01
10
01
00
11
10
00
11
11
01
00
10
11
10
00
00
00
10
11
10
00
00
10
10
10
11
10
10
11
11
11
10
01
00
00
00
01
11
10
01
00
00
00
10
00
10
10
00
00
01
00
00
01
01
10
10
00
00
01
10
10
00
10
11
00
10
10
00
11
00
01
10
10
00
10
10
00
00
11
10
00
00
01
00
00
10
10
10
10
10
01
00
10
01
10
00
00
10
00
10
00
10
10
00
00
00
10
10
10
10
11
00
01
11
11
10
11
01
10
00
00
10
10
10
01
00
10
10
01
10
10
00
00
10
10
10
01
10
10
10
00
10
01
00
00
00
10
00
01
00
10
00
01
00
10
10
01
00
01
00
11
10
10
11
10
10
00
00
01
01
00
11
10
00
10
01
10
10
10
00
00
10
10
11
11
00
11
00
00
01
10
00
00
00
10
00
10
10
10
00
10
00
11
10
00
01
00
11
01
00
11
10
00
11
11
01
00
10
11
00
10
00
00
10
10
10
10
00
10
11
00
01
10
11
11
00
00
00
11
10
01
00
11
11
11
10
11
11
11
10
00
00
01
11
01
00
10
11
01
00
11
10
00
10
01
00
10
10
00
00
10
00
00
00
10
10
10
10
01
00
10
10
10
00
11
10
01
10
00
01
01
10
01
00
11
10
00
11
11
01
10
11
01
10
01
00
01
10
10
10
11
00
00
11
11
11
00
10
00
00
11
01
10
10
00
01
00
10
10
10
00
01
10
10
00
00
11
10
00
10
00
00
00
00
10
00
10
00
00
00
10
00
11
10
00
10
10
10
10
00
10
00
00
00
10
00
01
11
11
01
00
01
00
11
00
00
11
10
11
00
10
10
01
01
00
10
10
10
00
11
00
10
10
11
01
01
11
10
10
00
11
01
10
11
00
10
01
10
10
00
00
10
00
00
01
00
10
00
00
00
11
00
10
10
01
01
11
10
01
11
11
00
00
10
01
10
00
11
10
00
10
01
10
01
10
10
01
10
10
10
01
00
11
11
01
10
00
11
01
00
11
11
00
00
11
10
00
00
00
10
11
00
01
01
00
10
01
00
10
11
01
10
11
01
10
10
00
10
01
01
11
00
00
01
01
10
00
10
10
01
00
10
00
10
00
11
01
00
10
11
00
10
10
10
00
00
10
00
10
00
10
11
01
10
10
10
00
11
00
01
00
01
01
11
10
00
11
10
01
10
11
01
00
00
11
10
10
10
00
01
10
10
01
10
00
01
10
10
00
00
00
10
11
01
10
00
00
00
10
00
00
10
11
00
01
11
10
00
01
11
00
01
10
00
00
10
10
00
01
10
11
01
00
10
00
10
10
10
01
00
01
10
10
10
00
10
11
10
10
11
11
00
11
11
01
01
10
00
10
10
01
00
10
01
00
10
00
11
11
00
00
00
10
00
01
10
11
01
00
01
00
00
11
01
00
11
10
01
00
11
00
11
01
00
10
10
10
01
11
11
01
00
10
00
00
00
10
10
01
01
10
00
10
10
10
10
10
00
01
11
01
00
10
00
00
10
01
10
10
10
10
00
11
00
00
10
11
11
10
00
11
11
01
10
00
10
11
11
00
01
10
01
10
00
11
00
01
11
10
00
10
10
00
00
11
11
00
01
01
01
10
11
01
10
10
00
10
10
00
00
11
01
01
11
00
01
10
00
10
10
01
00
11
11
00
00
10
00
00
11
11
01
00
10
01
00
11
10
01
00
11
11
00
01
01
10
11
00
00
00
01
10
01
00
10
10
01
10
00
01
11
00
00
00
10
00
00
11
10
00
10
10
10
10
00
10
01
00
10
10
10
00
01
11
10
00
00
10
00
10
10
00
00
10
10
10
00
11
11
10
01
00
01
10
01
00
00
01
11
00
00
00
10
00
10
10
10
11
10
01
01
00
00
00
10
10
10
00
00
10
10
00
10
00
01
10
10
00
00
10
10
10
00
10
10
10
11
01
10
10
00
00
00
10
10
01
10
11
00
10
00
01
10
00
11
11
01
10
11
01
10
10
10
01
10
10
00
01
00
00
01
11
00
00
10
01
10
10
00
11
11
10
10
00
10
01
01
10
11
00
10
01
00
10
01
00
01
10
00
00
10
00
11
10
11
10
00
10
10
01
01
00
10
01
01
11
01
11
11
11
10
01
01
00
10
11
10
01
01
10
00
10
00
00
10
00
10
00
01
00
10
11
00
11
01
10
11
00
11
10
11
00
10
00
00
10
01
11
10
00
10
10
10
10
01
10
01
11
11
00
10
10
11
00
10
01
11
11
00
01
10
10
10
00
00
10
00
10
10
00
00
10
01
01
01
00
00
00
10
10
01
10
10
10
10
00
10
10
01
10
01
00
10
10
10
01
10
10
00
11
00
10
10
01
00
10
10
01
00
00
10
00
00
10
00
10
10
10
11
00
10
10
11
00
11
00
11
11
10
10
00
11
11
11
00
00
10
10
00
10
00
00
01
00
11
10
00
10
00
00
10
01
00
11
10
10
10
11
00
00
11
10
00
01
10
11
01
01
00
00
00
10
10
00
10
00
00
00
01
10
01
00
00
11
11
01
00
11
10
11
10
00
11
10
00
01
00
11
10
10
01
10
01
01
11
10
11
00
10
10
01
00
11
11
01
11
10
10
11
11
10
11
01
00
00
01
10
00
11
11
00
10
10
00
00
00
10
11
00
00
10
11
10
00
10
00
10
11
01
00
00
00
11
10
11
10
01
10
00
10
00
01
10
11
00
10
10
00
10
00
11
11
11
00
10
10
11
01
10
11
00
00
11
00
00
11
11
01
00
10
00
10
10
11
10
10
01
00
00
10
01
01
01
11
00
10
01
00
00
01
10
01
11
01
11
00
10
10
10
10
00
00
11
00
00
00
10
11
00
10
00
00
01
11
00
10
00
10
10
01
10
11
11
00
10
10
10
00
11
00
00
11
10
00
10
01
00
00
10
00
10
01
00
10
10
10
00
11
11
11
11
00
00
00
00
10
11
11
00
11
00
01
10
10
01
00
00
10
00
01
10
01
11
01
10
00
10
00
00
11
01
00
11
01
00
00
10
00
01
10
10
00
00
11
01
10
10
00
00
10
00
10
00
10
10
10
00
01
10
00
10
01
10
00
11
01
01
10
00
10
11
00
10
00
11
00
01
01
00
11
10
01
11
10
01
01
10
10
00
01
11
10
11
10
10
01
11
10
10
00
01
10
11
00
00
00
00
10
00
11
10
01
00
10
10
00
11
00
01
10
10
00
10
10
11
10
01
00
10
10
10
10
11
11
00
00
10
00
11
11
00
10
00
11
10
01
01
00
11
00
10
00
01
10
01
10
11
00
11
00
00
10
10
10
00
00
10
10
10
11
01
00
00
00
01
11
11
10
00
10
10
11
00
00
00
10
11
00
00
00
11
00
10
01
01
10
01
11
01
00
10
00
10
10
00
10
00
11
10
10
10
10
00
01
11
10
10
10
01
01
00
00
01
10
11
01
01
11
00
10
10
01
00
11
10
00
10
00
00
10
10
01
00
10
01
10
11
10
10
10
11
00
10
10
00
10
00
11
00
11
11
11
00
01
11
10
10
10
10
00
00
00
00
10
10
10
00
10
00
00
11
11
00
10
00
01
11
11
11
00
00
10
00
00
01
10
10
11
00
00
00
00
01
00
00
11
10
00
00
11
00
10
11
00
01
01
10
10
00
01
10
10
00
00
00
10
00
00
00
11
10
01
10
01
11
01
01
10
11
00
00
10
00
00
10
10
10
10
01
01
01
00
11
11
01
00
00
11
10
01
01
00
10
10
01
10
10
01
10
10
10
00
00
11
10
11
01
00
11
11
10
00
01
10
11
00
01
11
11
11
01
11
10
00
00
10
01
00
10
00
10
10
10
00
11
11
00
10
10
10
11
00
00
11
10
10
00
10
10
10
11
00
00
11
00
00
10
10
10
01
01
10
00
01
01
00
00
10
10
00
00
11
11
00
11
11
10
10
01
00
11
11
00
01
01
11
00
01
10
00
11
11
00
00
00
11
00
00
00
10
11
00
00
00
01
00
00
10
10
01
00
01
10
10
00
11
10
11
00
01
10
00
11
10
11
00
10
10
10
00
00
11
01
10
10
00
00
10
10
00
00
00
10
10
10
01
00
10
10
01
01
00
10
10
10
01
00
01
11
00
00
01
00
10
10
01
01
10
01
11
01
01
00
10
00
00
10
11
01
00
00
00
01
01
10
10
11
00
00
10
00
01
00
00
10
00
10
00
01
10
11
01
00
11
10
11
10
00
00
11
10
00
10
01
10
10
10
00
00
10
00
10
11
10
11
01
11
10
01
00
11
10
01
00
10
00
10
10
10
00
00
01
00
00
00
10
10
00
00
10
10
11
00
01
01
00
10
11
10
01
10
10
10
10
00
00
01
11
11
01
00
00
10
10
00
00
11
11
10
01
00
11
10
01
10
00
00
00
10
10
00
00
00
10
01
00
10
10
01
10
11
01
00
01
10
11
10
00
10
11
01
00
00
11
00
10
01
00
11
11
10
10
10
00
01
01
11
11
00
10
10
10
01
10
00
00
00
01
10
01
00
00
00
10
10
00
10
10
01
00
11
10
00
10
01
01
11
00
10
10
10
10
10
11
01
11
10
01
01
01
11
00
01
10
11
10
11
00
01
10
10
00
00
10
01
11
00
00
10
10
10
00
00
11
10
11
10
00
01
11
10
10
10
11
00
11
00
01
10
11
00
00
00
01
10
01
00
01
11
10
11
11
00
10
00
01
11
10
01
01
00
11
10
11
00
01
10
11
11
01
11
11
00
00
10
10
00
00
10
11
10
01
00
10
10
10
00
00
10
10
00
00
10
10
11
00
00
00
00
11
10
00
10
00
01
00
11
10
10
00
01
11
11
11
10
01
00
10
11
10
01
00
01
10
00
00
10
10
00
11
10
01
10
10
11
00
00
10
11
01
01
11
01
10
10
10
10
01
00
01
10
00
10
10
11
10
00
00
00
10
00
11
00
10
10
00
00
10
00
10
00
00
10
01
11
11
00
00
00
00
11
10
00
00
00
10
10
01
11
10
10
11
01
11
10
01
10
11
10
10
00
00
11
10
10
01
01
01
00
00
00
11
10
00
11
00
11
10
10
11
00
01
10
11
00
00
00
11
10
10
00
01
01
10
11
00
11
11
00
00
00
00
10
11
00
10
00
01
10
10
11
10
01
00
00
01
00
00
01
11
10
00
10
11
00
00
11
00
00
00
11
10
11
00
10
00
10
00
11
00
00
10
00
10
00
01
00
01
11
11
00
01
11
10
11
10
01
00
00
00
10
10
00
00
10
00
01
01
10
00
00
01
10
10
11
00
00
00
01
01
11
10
11
10
01
10
00
01
00
11
11
11
01
00
10
10
00
00
10
11
00
00
00
10
11
10
00
01
00
11
00
00
00
00
00
10
10
10
01
10
10
10
10
10
00
10
10
10
00
10
01
01
10
10
00
10
01
01
11
00
01
00
00
10
00
10
11
00
01
00
11
01
10
10
00
10
11
11
01
11
10
00
00
10
01
01
10
10
00
11
00
11
11
01
10
10
00
00
00
10
10
11
10
01
01
10
00
00
10
00
10
00
00
10
10
10
10
00
10
10
00
00
01
10
00
10
11
00
10
00
11
00
01
10
10
01
00
01
01
00
00
11
10
01
00
10
01
11
10
11
01
00
00
00
10
10
00
01
11
10
10
00
10
01
11
10
00
10
00
10
00
01
11
01
00
11
10
00
11
00
10
10
11
00
01
10
01
11
01
00
10
11
11
01
11
11
01
00
11
01
00
10
00
00
10
01
00
10
11
00
10
00
00
11
00
00
11
01
10
00
01
11
00
11
00
00
10
00
00
00
10
11
10
00
01
00
00
01
10
00
01
00
10
00
10
10
00
00
10
10
10
00
11
10
10
00
11
00
11
01
00
01
10
10
11
00
00
01
11
11
00
10
11
11
00
01
10
10
00
01
00
01
10
01
01
00
11
00
11
11
10
11
10
11
00
00
11
00
11
00
10
11
01
00
00
00
00
11
00
00
10
00
00
01
11
11
11
10
10
00
00
10
00
00
01
11
01
10
01
11
11
01
10
10
00
10
11
00
00
10
11
10
10
01
00
10
11
10
00
01
01
10
11
01
10
01
00
10
11
10
01
11
11
00
10
10
10
10
00
01
11
01
10
10
10
10
01
00
10
10
00
00
10
00
10
00
11
01
00
10
10
10
10
00
10
10
11
10
01
00
00
10
00
01
10
11
11
11
10
00
00
00
00
10
10
00
10
01
00
00
10
00
00
11
10
01
10
10
00
00
10
10
00
01
10
00
10
11
00
00
10
00
00
11
00
10
10
01
00
11
00
10
11
10
00
00
11
10
11
00
01
11
00
01
11
11
01
10
11
00
11
01
00
10
11
10
01
10
11
00
10
11
10
00
10
11
01
10
10
00
01
00
10
10
01
01
11
00
10
10
01
01
10
10
11
11
00
11
10
11
00
00
00
01
10
10
00
00
10
00
01
10
10
10
11
10
00
00
10
00
01
00
00
10
01
11
01
01
11
01
00
11
00
11
00
00
11
10
10
00
10
11
00
01
00
11
11
10
00
10
01
00
10
11
10
10
00
00
10
10
00
10
11
10
00
01
00
10
10
00
00
00
10
10
00
10
00
10
10
00
10
00
11
11
00
11
10
10
11
10
00
10
01
00
00
11
11
00
10
00
00
11
00
00
00
10
11
10
10
10
01
11
10
00
11
00
00
01
00
11
10
11
01
00
01
10
01
01
10
01
00
01
11
11
00
11
10
11
00
00
10
10
01
00
10
00
00
10
00
10
11
00
10
00
10
10
10
11
00
10
00
10
00
01
00
01
11
11
00
10
11
00
01
11
00
10
00
01
10
10
00
00
10
10
01
01
10
00
01
00
00
11
10
10
00
10
00
00
00
00
10
00
00
10
10
11
10
11
00
10
00
00
10
10
00
01
11
11
10
00
00
00
00
11
10
00
10
10
00
00
11
10
00
00
11
10
01
00
01
01
00
10
10
00
00
00
10
00
00
10
00
00
10
00
00
10
00
01
01
10
00
10
10
01
01
10
10
00
11
01
00
10
00
00
00
11
00
11
11
00
10
10
00
11
00
01
10
00
10
00
10
11
01
01
11
00
01
00
10
00
01
11
11
01
00
10
10
01
10
11
00
00
10
01
01
10
00
01
01
10
10
00
01
11
11
00
10
00
00
11
10
01
01
11
11
00
11
10
00
00
10
11
01
10
10
01
01
10
10
01
00
10
10
11
11
11
00
10
11
01
01
10
10
00
10
11
11
10
00
10
01
01
00
10
01
01
10
01
10
10
11
01
11
00
10
11
11
00
00
11
10
11
11
10
00
00
00
11
00
00
10
10
10
01
01
11
00
01
00
01
00
10
10
00
11
00
00
10
10
00
00
00
10
11
10
01
10
01
00
00
00
10
00
00
11
11
11
00
10
10
00
00
11
11
00
10
10
01
00
10
00
10
00
00
11
10
01
01
11
10
01
00
10
10
00
00
00
11
10
00
01
01
00
10
11
10
10
00
10
00
00
00
10
10
01
00
10
00
00
00
00
00
01
10
10
11
00
10
10
00
01
00
10
10
11
10
10
00
00
01
10
00
10
10
10
00
00
00
10
01
00
11
00
10
10
10
01
11
00
00
11
01
00
10
11
00
00
01
01
11
11
01
10
10
00
10
10
01
00
00
10
00
10
11
00
10
00
10
00
00
10
10
01
10
10
01
10
11
00
00
11
00
11
10
10
00
00
10
10
01
00
10
11
10
00
01
10
10
00
10
01
11
10
01
00
00
01
10
10
10
11
01
01
10
10
01
00
11
01
11
10
11
00
00
00
10
00
00
10
11
10
00
00
11
00
00
10
01
00
01
00
01
00
00
10
01
10
00
00
10
01
11
10
00
00
11
00
10
10
00
10
11
11
10
00
01
10
01
00
10
00
01
10
01
11
11
10
00
01
01
10
10
10
00
00
00
00
10
10
01
01
11
10
00
00
10
00
01
10
10
00
00
00
01
00
10
11
10
01
00
00
10
10
01
11
10
01
00
01
00
01
10
00
00
10
10
00
01
10
00
00
10
10
01
00
11
10
01
00
10
01
10
00
01
01
10
11
10
01
10
10
01
11
10
10
01
01
00
10
10
00
00
01
10
11
10
00
01
10
00
00
10
11
10
11
00
10
10
10
11
01
00
10
10
00
11
11
01
01
00
10
11
10
10
00
01
10
10
10
00
00
10
11
00
11
10
00
00
10
10
00
10
10
01
01
11
01
10
10
11
00
00
10
10
10
10
11
11
00
00
00
10
10
00
00
00
00
11
00
01
00
11
11
10
01
00
11
11
11
01
00
00
10
11
00
10
11
01
00
11
10
00
11
11
11
00
01
10
10
11
10
10
00
00
10
10
00
00
01
11
01
10
10
00
10
00
10
10
01
11
00
01
00
11
10
10
10
00
01
00
01
10
10
10
10
00
00
10
11
00
00
00
10
10
00
10
00
00
10
10
10
00
01
10
00
00
00
01
01
10
10
00
11
01
11
01
10
10
00
10
10
10
01
00
10
10
01
01
11
00
11
10
00
11
00
00
10
00
00
00
00
10
01
11
10
10
11
10
00
01
10
11
10
00
00
00
10
11
00
01
00
11
00
10
00
01
10
11
10
00
11
10
10
00
10
00
01
01
00
00
11
10
01
00
11
11
01
10
00
00
10
00
00
11
10
00
01
00
00
10
11
00
10
10
10
01
10
10
00
10
10
10
00
00
11
11
00
10
10
11
00
10
01
10
10
00
01
11
00
00
10
10
00
00
11
11
01
01
00
10
00
00
10
00
10
10
00
01
11
01
10
01
00
00
01
11
10
01
11
01
01
00
01
10
10
00
00
00
11
10
10
10
10
01
01
11
10
10
10
11
10
00
00
11
10
00
10
11
00
00
10
01
10
01
00
00
00
11
10
00
00
00
10
11
11
10
11
10
00
01
10
00
10
00
00
11
00
11
01
00
11
00
01
10
01
01
11
11
00
00
11
10
10
10
10
11
01
01
01
10
00
00
01
10
11
01
00
10
01
00
00
00
10
10
00
10
10
10
10
01
10
01
00
00
10
00
01
11
00
01
10
10
10
01
10
10
11
00
00
10
10
00
00
10
01
00
10
01
10
10
10
10
01
10
00
11
00
01
10
00
00
10
01
01
10
11
10
00
00
00
11
11
00
00
00
00
01
11
00
00
00
11
10
00
11
10
10
11
01
00
00
11
10
10
10
00
01
01
11
10
01
10
10
00
00
01
10
10
00
00
00
10
00
01
01
11
10
10
11
10
11
00
00
10
11
00
11
10
00
00
10
10
10
10
00
10
10
11
10
10
11
10
01
10
10
01
11
11
01
00
10
01
00
00
01
10
10
00
10
10
00
11
10
01
00
00
00
10
00
00
10
01
01
10
00
10
01
11
00
11
10
10
10
11
00
10
10
00
00
10
11
11
00
01
00
10
00
10
10
10
10
00
01
00
00
10
10
10
01
10
00
01
01
10
01
00
00
10
00
01
10
10
00
11
01
00
00
10
01
10
10
11
11
11
00
10
01
00
11
11
10
01
00
11
00
00
00
10
10
00
00
10
00
00
01
00
01
01
10
10
00
10
10
01
00
10
00
00
10
01
01
00
10
01
10
10
10
00
00
10
11
10
00
10
10
11
00
01
11
10
01
11
10
00
00
10
10
11
00
10
10
00
00
10
10
10
00
10
00
00
10
00
00
00
11
00
00
00
11
10
10
11
11
11
00
00
10
10
01
00
01
11
10
10
00
00
00
00
10
01
10
11
10
11
01
00
11
11
11
11
10
01
00
10
10
00
00
10
00
00
01
10
11
10
01
00
00
10
00
10
11
11
10
01
01
00
10
00
01
01
00
11
11
00
00
00
11
11
11
00
00
11
11
10
01
00
01
10
10
10
10
00
01
10
11
10
11
00
10
00
10
10
10
00
00
10
10
10
11
10
11
10
01
11
11
01
00
10
10
11
00
00
10
11
01
11
10
01
10
01
10
11
00
00
10
11
01
00
10
11
00
11
01
01
01
11
01
01
00
10
01
00
10
10
00
11
10
01
11
10
00
10
00
01
10
00
10
01
01
01
10
11
01
10
01
01
00
00
01
10
10
01
00
00
00
10
10
10
00
10
01
00
01
01
10
10
00
00
10
10
00
00
10
10
10
00
11
00
10
10
10
10
00
00
11
10
10
00
10
10
10
00
10
11
01
01
00
10
10
11
10
10
00
00
10
00
10
01
10
10
00
10
00
10
00
11
10
01
01
00
00
10
01
00
00
10
11
11
00
00
10
10
11
10
01
10
11
01
00
01
10
00
00
01
10
10
11
00
01
00
10
10
00
11
01
11
10
00
11
00
11
00
00
10
10
00
10
11
01
00
00
00
00
10
10
00
00
10
11
10
01
10
00
10
10
00
10
10
01
11
10
11
00
00
01
10
11
00
00
10
00
00
10
01
00
10
10
00
10
01
00
11
10
01
00
11
11
01
01
11
10
00
00
11
10
00
00
00
00
00
00
10
10
01
10
00
00
11
10
10
00
00
01
10
10
11
01
00
01
10
01
00
10
10
00
00
00
11
11
11
01
01
01
00
10
10
01
10
10
00
00
00
11
10
01
11
10
10
00
00
10
10
00
10
10
11
10
10
10
00
10
10
10
10
01
00
11
10
00
01
00
01
11
10
00
00
00
00
10
10
00
00
00
10
10
10
10
01
01
10
01
00
10
01
10
10
00
00
11
10
11
11
00
01
10
10
10
01
11
11
10
00
00
10
10
10
10
01
11
11
00
10
01
10
10
00
11
10
10
10
00
00
10
10
10
00
10
10
10
01
10
10
01
10
01
10
01
01
01
11
10
10
10
01
00
01
11
00
10
10
00
10
00
00
11
10
01
11
11
00
10
00
00
10
00
01
10
00
10
10
10
10
10
10
10
00
00
10
11
00
01
11
00
00
10
10
00
00
11
11
00
10
00
10
00
01
10
11
00
01
10
10
01
00
11
10
00
01
10
00
00
00
10
00
10
10
01
00
00
10
00
00
10
00
10
01
11
10
00
00
10
11
00
10
00
00
00
00
00
10
01
10
10
11
00
00
11
01
00
11
11
00
00
00
01
10
10
00
00
01
10
00
10
10
01
00
00
00
10
01
10
11
10
10
10
10
11
00
01
00
11
10
00
00
01
00
10
10
00
10
11
00
10
01
01
11
00
10
11
10
00
00
11
10
11
11
00
00
10
10
10
00
00
00
11
01
10
01
11
01
10
10
00
10
00
11
11
01
01
00
00
00
10
11
00
00
11
11
01
11
10
00
00
10
10
01
10
10
00
01
10
10
10
00
10
10
00
01
00
10
00
01
00
11
10
11
10
01
01
11
01
00
01
10
10
01
00
11
00
00
10
00
11
11
00
11
00
10
00
00
10
01
00
10
10
00
01
11
01
10
00
01
10
10
00
00
11
00
00
10
10
00
00
01
10
00
00
11
00
00
10
10
00
00
00
10
10
01
00
00
11
00
11
00
10
00
10
00
00
00
11
10
00
11
01
11
10
10
00
10
10
00
10
11
11
10
00
00
00
11
00
01
10
10
10
00
10
11
00
00
10
11
00
11
11
00
00
10
10
10
00
00
10
10
01
00
11
10
10
00
00
00
01
00
11
11
00
00
00
01
00
11
00
10
00
00
11
00
11
11
01
00
10
10
00
11
10
00
01
11
10
10
01
10
10
10
01
11
00
11
00
10
10
01
00
00
10
11
00
00
00
10
11
10
01
00
10
01
01
10
01
11
10
10
10
00
00
01
11
10
10
11
01
00
00
00
10
10
01
01
00
00
00
10
10
00
10
11
00
00
11
10
00
10
11
01
00
10
00
00
01
11
11
10
10
10
10
00
01
10
00
10
00
01
01
01
00
10
01
00
11
10
10
01
00
00
11
10
00
10
00
00
01
10
10
00
00
10
10
01
10
10
01
11
01
10
00
01
01
00
10
11
00
10
10
00
00
00
10
01
10
10
10
10
10
10
10
00
11
00
00
01
00
10
01
10
10
00
00
11
01
00
10
11
00
00
00
00
11
10
10
00
10
01
11
00
01
11
11
10
00
00
10
01
01
11
10
00
00
11
00
10
10
00
10
10
00
10
00
10
10
01
01
11
11
00
00
10
00
00
00
00
00
10
10
11
11
10
11
01
01
11
10
01
10
00
00
10
11
00
00
01
11
11
10
01
10
10
11
00
00
10
00
10
10
10
01
10
00
00
10
11
00
10
10
01
01
10
00
01
00
11
10
10
00
10
00
10
11
00
00
11
01
10
10
00
10
10
00
10
00
01
00
10
00
01
01
11
01
00
00
10
10
10
10
00
01
10
11
00
11
10
00
10
00
11
11
10
11
00
11
10
11
00
11
10
00
01
00
01
10
00
01
10
00
00
00
10
10
10
11
10
10
10
00
11
10
01
00
10
10
11
00
01
11
00
00
01
10
01
10
10
00
10
01
11
11
00
10
00
10
00
00
10
01
00
00
00
10
00
11
11
10
11
01
00
11
11
00
10
11
10
10
00
00
10
10
01
00
00
00
00
00
11
10
01
01
01
00
10
10
01
10
00
01
10
10
00
11
10
11
01
00
01
00
11
10
00
00
00
00
10
10
11
00
11
10
10
10
00
00
10
01
00
10
11
10
11
01
01
00
11
01
00
00
00
10
10
10
11
00
00
00
00
00
01
01
11
00
01
01
01
00
00
10
00
00
10
00
10
10
01
11
00
10
00
11
01
10
10
01
10
00
01
10
10
00
10
00
00
10
01
10
01
10
00
00
00
00
11
01
10
00
00
00
11
01
00
11
00
01
11
00
10
01
10
00
00
10
10
10
00
11
00
10
11
10
00
01
10
01
01
10
10
00
01
10
01
00
01
10
00
00
10
10
00
01
10
10
11
01
10
00
00
00
10
10
00
00
00
10
10
00
01
11
11
10
11
01
00
01
00
01
10
10
10
10
00
00
00
01
11
01
00
10
00
11
11
00
00
11
00
10
11
10
10
00
01
00
01
10
11
10
10
11
00
00
10
10
00
10
10
00
01
11
11
01
00
10
00
01
10
11
00
01
10
11
01
10
01
00
00
10
10
00
00
00
10
00
00
10
00
00
11
00
01
00
01
10
10
10
00
10
11
10
00
11
10
00
00
00
10
10
11
01
11
00
11
00
11
10
00
00
10
00
10
00
00
00
10
10
10
10
00
00
00
10
01
00
11
00
10
10
00
10
01
11
10
01
10
11
00
10
11
00
11
11
10
01
01
11
10
10
00
00
11
10
10
00
10
00
10
00
00
00
00
10
10
00
10
01
10
11
00
00
10
10
11
01
00
10
10
00
11
10
00
00
11
10
10
10
10
11
00
10
10
10
00
10
00
00
00
11
01
10
11
10
10
10
00
00
00
10
10
00
11
00
00
00
00
01
01
11
00
10
10
10
10
10
10
10
10
00
00
10
00
01
11
00
10
10
00
00
00
00
11
10
00
11
00
11
00
00
11
10
10
01
00
10
10
11
01
01
00
10
00
10
11
10
10
00
10
00
01
00
00
01
11
11
01
11
10
10
10
00
00
10
10
00
00
10
10
00
11
01
00
00
00
11
11
00
01
00
10
10
00
10
01
00
11
11
11
10
10
10
01
10
10
00
11
01
10
10
00
11
00
10
10
00
11
10
00
10
00
00
11
10
00
01
10
10
10
00
00
11
10
10
00
00
00
00
00
00
11
01
10
01
10
01
01
10
10
01
10
11
10
00
01
01
11
01
11
10
00
00
00
00
10
00
10
10
11
00
01
01
00
11
00
10
00
00
10
10
11
00
01
00
00
10
11
00
01
01
10
01
01
00
11
00
00
10
01
00
11
01
01
11
01
10
00
10
11
00
00
00
10
00
10
00
10
10
00
00
10
00
01
10
00
01
10
10
00
00
11
00
01
11
10
00
00
10
00
00
11
00
00
10
10
10
11
10
00
00
10
00
10
11
00
00
11
11
11
10
10
11
01
10
00
00
11
00
10
01
01
00
10
00
11
10
00
10
01
00
11
00
10
00
01
01
11
01
01
10
11
00
01
10
10
00
01
00
01
10
10
10
01
11
10
01
10
00
01
10
00
10
10
00
01
11
10
10
10
10
11
01
00
10
10
00
00
10
00
11
01
11
10
00
00
00
10
00
11
10
01
00
10
10
01
00
00
11
00
00
10
00
10
00
11
10
10
00
11
00
01
01
10
00
10
11
10
00
01
00
10
10
10
11
10
01
00
10
00
00
10
10
00
01
11
10
00
00
11
00
10
10
00
00
01
11
11
01
00
10
00
01
11
00
01
10
10
10
01
00
10
11
01
10
11
10
00
10
00
01
01
11
11
00
10
10
00
00
10
10
00
11
10
00
01
10
01
11
01
01
10
10
00
01
10
11
10
10
01
00
11
00
00
10
10
00
00
11
10
10
10
10
01
00
00
11
00
01
10
10
00
00
11
10
00
00
10
10
01
01
01
00
10
10
01
01
11
10
00
11
01
10
11
10
00
00
01
00
10
10
00
01
10
00
00
01
11
11
10
10
00
00
00
10
10
10
01
10
01
00
01
00
00
10
00
10
00
00
11
10
10
00
01
10
00
10
10
00
01
00
10
10
00
01
01
01
00
11
10
11
00
10
00
01
10
11
11
01
10
11
11
10
01
00
10
11
00
10
11
10
01
10
00
01
10
00
10
00
10
10
11
00
01
00
10
10
00
10
10
11
00
10
00
01
10
01
11
10
10
00
10
10
00
00
00
10
10
00
01
00
10
10
10
11
10
10
00
10
10
10
00
00
00
00
10
10
00
00
10
10
11
00
00
10
00
01
00
00
00
10
11
10
10
10
11
00
00
00
00
10
00
10
11
00
01
10
00
11
11
00
11
11
01
00
00
10
00
01
10
10
00
00
10
00
10
10
10
01
10
11
00
00
01
10
00
01
00
11
10
00
00
00
10
11
00
00
10
10
10
00
00
11
10
00
01
01
10
01
10
11
10
00
01
10
10
01
10
11
01
10
00
00
11
11
01
01
10
00
00
11
00
10
11
11
01
10
11
00
01
00
00
10
11
11
00
10
10
00
11
00
01
10
10
01
00
00
10
01
00
00
00
10
10
11
00
00
00
10
01
11
00
00
00
10
11
10
01
00
00
10
10
00
00
00
10
10
01
11
10
00
10
00
10
11
00
01
00
01
10
11
00
01
11
11
10
00
10
11
00
00
10
10
10
00
11
01
10
10
11
01
00
10
10
00
10
00
01
01
00
01
00
10
00
00
10
10
01
11
00
00
10
10
00
00
10
10
10
11
11
00
11
10
01
10
00
00
00
10
10
10
00
10
00
10
10
10
00
00
01
00
10
10
10
11
00
10
10
10
01
01
01
10
10
11
10
00
10
00
00
11
00
11
10
00
01
00
11
01
10
10
00
00
00
10
00
00
00
00
10
10
10
01
00
11
01
00
10
10
10
00
00
10
11
11
00
01
00
00
00
00
01
10
00
00
10
01
11
11
00
01
10
10
01
10
01
10
11
00
00
00
10
10
00
11
11
01
10
10
01
01
10
00
00
11
00
10
10
10
01
00
00
00
11
10
00
00
10
00
00
11
01
11
10
01
01
10
00
00
11
11
10
11
00
11
10
01
11
01
10
11
10
00
00
10
10
00
00
00
10
00
01
01
10
10
10
01
10
11
00
01
10
10
00
01
10
00
10
11
11
10
10
00
01
10
10
00
10
10
11
10
10
00
10
01
11
00
11
01
00
00
00
00
00
00
10
00
00
10
11
00
10
00
10
11
01
01
01
10
10
11
11
01
00
10
10
10
10
00
10
11
01
00
01
10
00
10
00
01
00
10
11
00
01
00
00
00
11
10
10
10
00
10
01
00
10
10
00
00
01
10
10
01
10
11
10
10
00
10
00
01
10
10
01
11
00
10
11
11
11
01
00
10
10
00
00
01
10
11
01
00
00
01
11
10
11
01
11
10
00
00
10
11
01
11
00
11
10
10
10
01
10
11
01
00
00
10
10
10
10
01
00
01
10
10
00
10
00
00
01
10
10
00
11
10
10
10
00
10
10
01
10
00
11
10
00
10
00
00
10
10
10
10
00
00
10
01
10
11
00
00
00
00
00
10
10
00
10
10
10
01
10
10
00
11
01
01
10
11
00
00
00
00
01
10
10
11
10
00
00
00
01
00
00
10
11
10
00
11
11
01
10
11
00
00
01
01
10
00
10
00
11
10
00
11
11
11
01
10
11
11
01
01
00
10
01
00
10
00
01
11
10
00
00
10
10
10
00
11
00
01
00
10
10
10
10
11
10
01
01
11
10
11
00
11
11
11
11
10
00
00
01
10
11
00
10
10
00
01
00
00
00
00
00
11
10
00
11
01
00
10
01
11
00
00
00
01
10
10
01
10
10
10
11
00
01
11
10
10
00
10
10
10
01
00
00
00
10
00
10
10
10
10
00
01
10
01
11
10
10
11
01
10
00
01
10
10
00
00
10
00
10
11
10
00
00
00
10
01
00
11
10
00
10
00
10
10
00
00
01
00
11
10
10
10
10
11
00
10
00
00
10
01
01
01
11
10
01
00
10
10
00
00
10
01
00
00
01
11
10
00
11
00
00
00
10
10
01
11
10
01
01
11
11
11
00
00
10
10
10
10
00
00
01
10
10
11
11
10
10
01
10
01
00
00
01
10
11
11
00
00
10
10
00
01
10
10
11
00
11
10
11
00
10
10
10
01
11
00
00
00
11
11
11
00
01
00
00
00
00
11
11
10
00
10
11
00
11
10
10
01
00
01
00
10
11
00
01
00
10
10
00
00
00
00
10
11
10
11
11
00
00
11
10
10
10
00
10
10
00
10
00
00
10
01
11
01
10
10
00
01
00
11
10
01
00
10
00
00
01
10
11
00
00
10
11
01
10
00
00
01
11
11
01
11
01
00
10
11
01
00
10
11
00
11
10
01
01
00
00
10
10
00
11
10
00
10
11
01
10
01
01
11
11
00
01
10
10
00
10
11
10
01
00
01
10
00
10
00
01
11
00
10
10
00
00
00
00
01
10
11
10
00
11
10
01
00
01
10
10
00
10
10
00
00
10
10
00
00
10
10
11
10
11
00
00
00
11
00
10
10
10
00
00
00
01
11
11
01
01
10
10
00
10
00
00
11
11
00
00
11
10
00
01
00
10
10
00
11
11
11
00
00
01
00
10
10
11
00
01
11
00
11
01
00
11
00
10
00
10
10
11
11
00
10
00
00
10
11
00
00
10
00
01
11
10
00
11
00
10
00
00
10
01
10
10
01
01
10
01
11
10
10
00
01
00
10
00
10
10
10
00
00
10
01
10
10
10
11
00
10
01
01
10
10
10
01
11
10
00
11
11
10
01
00
10
10
10
10
00
00
10
00
10
10
11
01
10
10
01
10
00
11
00
01
00
11
00
11
10
10
00
00
10
10
00
00
00
10
11
01
11
10
11
10
00
01
10
11
01
10
10
10
01
00
10
11
10
10
01
00
01
10
01
10
00
10
01
01
11
00
00
10
00
11
10
10
10
00
01
11
00
01
00
01
01
10
10
00
00
10
10
00
00
01
00
10
01
11
01
00
01
10
10
00
01
10
00
00
00
00
11
01
11
10
10
01
11
10
11
00
00
10
00
10
11
10
00
00
11
10
00
10
00
10
10
11
01
00
10
10
00
10
00
10
10
10
01
11
01
01
00
11
01
10
11
01
10
10
00
10
11
00
01
01
00
10
10
00
00
10
10
01
10
10
10
00
01
00
11
10
10
00
00
00
10
10
10
00
00
00
11
00
00
10
10
10
10
10
00
00
11
00
00
01
00
10
00
01
11
00
10
10
01
01
00
10
10
00
00
00
10
11
01
01
10
00
10
10
10
00
00
00
10
00
10
00
00
00
10
00
00
00
10
10
00
01
10
00
01
11
10
01
11
10
01
00
10
00
01
10
01
11
10
11
00
11
11
10
00
00
11
00
01
11
10
00
00
00
01
00
11
10
10
11
10
00
01
00
00
01
10
00
00
11
10
10
00
00
11
11
10
10
01
00
00
00
11
00
00
11
11
11
01
11
11
11
01
00
10
00
00
10
10
00
00
10
11
10
01
11
10
10
00
00
11
10
00
00
01
10
10
11
11
00
00
11
00
01
11
10
10
10
00
00
00
10
01
01
01
01
10
10
10
10
10
00
10
10
01
10
10
10
10
10
11
11
00
10
11
00
01
00
11
01
01
10
10
00
00
10
00
10
01
01
01
10
11
00
01
01
10
10
01
00
10
00
11
11
00
11
10
00
01
00
01
11
11
00
00
10
00
10
10
00
01
11
10
10
10
11
01
01
11
10
00
10
10
01
10
00
10
11
00
11
01
10
00
10
11
01
00
10
10
10
01
00
11
00
00
00
11
00
11
10
01
00
01
00
00
10
10
00
00
00
10
10
10
00
01
10
01
00
11
10
01
11
01
10
11
00
00
10
10
11
11
10
00
01
10
11
10
10
00
00
00
01
10
10
00
00
00
01
10
11
00
10
00
01
00
10
11
00
00
00
00
10
01
00
10
00
01
10
11
00
00
01
00
00
00
01
10
01
00
10
10
00
00
10
01
00
10
10
00
01
11
00
11
10
01
10
01
00
00
11
10
10
10
01
00
11
11
00
10
10
01
10
01
00
10
11
10
10
01
00
00
10
00
00
10
10
10
01
00
10
10
00
00
00
01
00
00
00
10
01
01
10
11
00
00
10
01
00
11
10
01
10
10
11
00
11
11
10
00
10
00
01
11
10
00
00
10
10
10
00
10
01
00
10
10
00
11
11
01
00
11
10
11
00
11
10
00
00
11
11
00
01
10
10
10
00
00
11
11
00
10
10
01
01
11
01
10
10
00
10
10
01
00
11
00
00
10
10
01
00
10
10
00
11
10
01
01
10
00
10
10
00
00
11
00
00
10
11
11
00
10
11
00
10
10
01
11
10
10
00
00
10
10
00
01
10
11
01
11
00
01
11
00
11
10
10
10
01
11
11
01
01
10
11
01
00
11
10
11
01
00
00
01
00
10
00
00
10
10
01
10
01
00
00
00
01
00
10
11
00
10
00
00
10
10
00
00
00
10
00
01
00
10
11
10
10
10
00
10
00
00
10
00
00
00
01
01
10
11
10
00
10
10
01
00
11
10
01
10
01
10
10
10
00
00
10
10
10
00
10
10
10
01
10
11
01
01
10
11
10
00
10
01
00
10
01
01
10
01
10
10
00
01
11
10
10
00
01
11
10
01
10
00
00
10
10
10
10
10
10
11
11
00
01
00
10
11
00
00
00
11
11
00
00
10
01
00
01
10
10
00
00
00
10
11
00
00
00
01
10
00
00
10
00
10
10
10
00
00
00
10
11
11
01
10
00
10
10
00
00
11
00
11
10
11
10
10
00
10
10
10
00
00
11
10
01
11
00
11
11
10
01
01
10
10
00
01
10
00
00
00
11
11
10
00
00
10
10
10
00
10
11
00
10
01
00
01
00
10
11
00
00
00
00
01
00
00
00
00
11
01
10
00
10
10
01
11
10
10
10
11
00
10
10
10
10
00
11
10
01
11
00
00
01
00
00
10
10
00
00
10
10
11
10
01
00
01
10
00
01
11
00
00
10
01
10
10
11
00
01
10
10
00
00
01
10
11
00
10
11
10
10
00
11
10
10
01
11
01
10
10
00
10
11
01
00
10
10
01
01
00
10
11
10
00
10
01
10
10
01
10
01
10
11
01
10
01
10
10
00
01
10
11
00
10
10
00
10
11
10
00
10
00
00
00
11
00
00
00
10
01
01
11
10
00
00
00
10
00
00
01
10
00
00
10
00
00
11
00
00
11
01
00
10
11
00
00
10
00
10
10
01
01
00
11
00
10
01
00
11
00
01
11
10
00
00
10
10
10
00
00
10
01
10
11
10
00
00
01
00
11
01
01
01
11
10
01
11
11
10
01
10
11
00
01
00
11
10
00
00
01
11
10
00
01
11
00
00
10
10
11
01
01
11
10
10
11
10
00
00
10
10
00
00
00
00
10
00
10
00
01
00
00
10
10
11
00
00
11
00
00
01
00
11
01
00
10
10
10
01
01
00
00
10
01
10
11
10
10
11
00
01
00
01
10
00
10
11
00
10
11
01
11
11
00
01
11
00
11
10
00
11
11
00
11
00
01
00
00
10
11
00
10
00
00
00
00
10
10
10
10
00
01
11
10
00
11
00
11
10
10
00
00
10
00
01
00
01
10
11
10
01
01
01
10
11
01
00
10
10
00
00
10
01
10
00
10
11
00
01
10
11
00
00
00
11
10
01
00
10
10
11
10
10
10
00
10
10
10
00
10
01
00
10
00
00
00
00
00
00
10
10
10
10
00
00
10
10
10
00
01
11
10
10
10
01
01
00
11
10
11
00
00
10
00
00
11
00
00
01
10
10
10
11
01
00
11
11
00
00
10
00
10
10
01
10
10
00
10
10
00
00
00
01
11
10
00
10
01
00
10
00
11
11
01
10
00
00
11
01
10
01
00
10
10
10
01
11
10
00
10
10
00
10
00
00
11
11
11
00
00
00
11
10
01
11
10
01
10
00
00
11
10
10
00
11
10
01
01
00
10
11
10
01
10
10
01
11
10
11
11
01
01
00
01
00
11
01
01
00
10
01
11
10
00
10
10
00
00
00
11
10
00
10
00
10
10
00
00
01
10
10
11
11
00
01
11
01
10
11
00
10
00
00
10
10
01
01
11
00
10
00
10
10
01
10
00
00
10
00
10
00
00
01
10
00
11
00
10
11
00
10
10
11
00
00
11
10
00
01
00
01
10
10
01
00
10
10
00
00
00
00
10
00
01
10
10
00
10
10
00
01
10
00
10
10
01
10
11
00
00
00
10
01
00
00
10
01
01
00
10
00
10
10
11
10
10
00
00
00
00
10
00
00
00
01
10
00
11
00
11
01
10
00
10
11
01
00
01
11
10
10
11
10
00
00
10
00
11
10
01
00
10
01
10
10
00
10
11
11
11
00
11
10
11
10
11
00
00
00
00
00
00
10
10
01
11
10
10
00
00
10
01
00
11
10
10
01
00
11
00
10
01
00
10
00
10
10
01
00
11
01
11
10
10
00
00
10
10
00
01
00
00
10
10
00
10
11
00
10
01
00
10
01
10
00
00
00
10
01
10
11
01
01
00
10
01
10
01
00
10
11
01
00
10
10
00
00
10
10
01
00
01
11
11
10
11
00
00
00
10
10
01
00
01
10
01
10
00
10
10
01
01
11
11
11
01
00
01
00
00
01
00
10
11
10
00
11
11
10
01
00
01
00
11
11
00
10
11
01
00
01
00
00
10
00
10
11
10
01
00
00
00
10
01
10
01
01
10
11
10
01
10
11
00
00
10
00
01
10
10
11
10
00
00
11
00
00
11
10
01
10
10
00
11
00
10
10
10
01
00
11
10
10
00
10
00
00
10
00
11
00
10
10
11
10
10
01
10
01
00
00
10
00
11
11
10
00
00
00
00
10
10
00
10
00
11
00
10
11
00
11
00
10
10
00
10
11
10
10
10
10
01
00
00
01
01
11
01
10
01
01
10
10
01
01
10
10
00
00
00
11
11
00
10
10
10
00
01
11
00
00
10
00
00
10
11
00
00
10
10
00
00
00
01
10
00
10
10
00
01
00
11
11
00
10
01
10
10
10
00
01
10
10
00
01
11
10
01
00
11
11
01
10
00
00
01
10
11
10
00
11
11
00
10
11
10
11
00
10
00
01
01
11
10
00
00
10
00
11
10
01
00
10
10
00
01
00
01
01
11
10
10
10
01
00
11
00
00
00
10
11
10
00
11
11
10
01
00
00
01
10
00
00
10
00
10
10
10
01
10
10
00
11
11
01
00
00
11
10
00
00
10
10
00
00
11
01
01
10
00
01
00
10
01
11
10
10
00
00
10
10
10
01
00
11
00
00
00
10
00
01
11
11
10
01
11
10
00
10
11
10
01
00
00
10
10
11
01
00
10
10
00
10
00
10
01
00
11
01
10
10
00
10
10
00
00
10
00
00
00
00
00
10
10
00
00
11
10
00
00
10
01
10
10
10
00
10
01
10
01
00
00
10
00
01
00
11
10
10
00
10
10
10
10
00
00
11
00
10
11
00
11
01
01
10
11
01
10
11
00
01
11
10
00
00
00
10
11
00
11
10
01
01
01
01
10
10
10
10
01
10
10
00
00
10
01
00
11
01
11
10
10
11
10
11
00
00
11
00
00
00
10
10
11
00
11
10
00
00
10
10
00
00
11
10
10
10
10
00
00
01
00
01
00
11
10
00
01
01
00
10
00
01
00
00
11
10
00
01
10
00
00
11
10
10
11
01
11
00
00
11
11
10
01
01
10
00
10
10
11
00
00
01
11
00
01
01
10
01
00
10
00
01
10
01
10
11
00
10
00
00
10
10
01
00
01
10
00
10
10
00
01
10
10
11
10
11
01
01
10
10
00
10
01
00
11
11
00
00
00
11
01
00
11
10
10
01
00
01
11
10
00
10
10
11
00
10
01
00
10
01
11
10
10
00
00
10
00
00
10
10
10
00
01
11
00
00
00
00
10
11
11
00
10
01
10
11
00
11
00
00
10
10
10
00
00
00
00
11
10
11
11
00
11
01
10
00
10
11
00
11
01
10
11
10
01
01
01
11
00
10
01
10
11
10
00
01
10
11
10
10
01
10
10
10
00
10
10
10
01
11
11
11
10
01
00
00
10
10
00
00
10
10
01
00
01
10
11
10
00
00
00
00
11
10
00
01
01
00
01
01
10
10
00
01
10
11
01
11
00
10
00
00
10
10
01
00
11
00
10
10
01
11
10
11
00
00
10
11
00
00
11
11
10
10
00
00
11
01
10
01
10
11
11
00
10
10
10
00
00
10
01
00
00
10
11
10
10
10
10
00
00
01
00
00
10
10
01
00
10
10
11
01
01
00
01
01
00
01
10
00
01
10
10
01
01
10
10
01
10
01
10
00
10
11
01
00
00
10
01
01
10
10
11
01
10
11
01
00
10
01
10
10
10
01
00
10
01
01
10
10
00
00
00
00
11
10
00
00
00
11
10
00
10
10
00
00
00
11
11
01
01
00
10
10
10
10
10
00
01
10
10
01
10
10
00
10
00
00
00
11
10
01
10
11
00
01
00
00
00
10
11
10
00
00
00
10
00
11
00
01
10
00
10
00
10
00
11
11
10
11
11
11
01
00
01
11
00
01
11
10
00
00
11
10
10
00
00
00
10
00
01
00
01
11
00
01
10
10
01
10
10
10
10
00
00
00
00
10
00
11
00
11
10
10
11
01
00
10
10
01
00
01
10
10
00
01
10
10
00
00
10
11
00
10
10
01
00
10
00
00
10
00
10
10
10
01
10
10
10
10
10
00
10
01
01
00
00
01
01
00
10
11
10
10
11
00
00
11
11
10
10
00
01
10
10
01
00
00
10
10
00
01
00
00
10
10
10
10
00
00
11
00
01
10
00
01
00
10
10
00
01
10
10
10
10
01
00
11
01
00
01
00
00
10
11
00
10
10
10
11
11
01
11
10
01
00
11
00
10
10
10
00
00
00
00
01
10
00
10
11
11
01
00
00
10
11
00
00
00
10
00
01
00
10
10
01
00
00
00
10
10
01
00
11
11
01
01
01
11
01
00
10
11
11
10
00
01
01
11
10
00
01
00
11
10
11
00
01
00
10
11
00
11
10
00
00
00
00
00
01
10
11
00
11
00
01
00
10
10
01
00
00
00
10
10
00
10
11
10
00
00
10
01
00
10
10
10
11
10
11
00
00
10
10
10
01
01
11
10
00
00
10
00
10
10
00
10
00
01
10
00
10
00
00
01
00
11
10
00
11
00
01
00
00
10
10
01
00
10
11
11
10
11
11
00
10
10
01
01
00
00
00
10
00
01
11
10
00
10
10
11
11
00
11
11
00
10
00
00
00
01
10
01
00
11
00
11
00
10
00
00
01
01
10
10
01
10
11
01
00
10
00
10
10
11
01
10
00
01
11
11
10
11
00
00
10
10
10
10
01
10
00
10
11
10
00
01
10
10
10
00
00
00
10
01
10
11
10
11
10
01
00
01
10
11
00
00
10
10
10
01
00
11
11
00
01
10
00
00
00
01
11
00
01
10
01
00
11
10
11
01
10
01
01
11
11
10
00
10
10
00
10
10
01
10
11
00
01
11
00
10
10
01
00
10
01
00
10
00
10
00
11
10
10
00
10
00
00
10
11
11
00
10
00
11
11
01
11
11
00
11
01
00
01
10
11
00
10
10
00
00
10
00
01
00
01
01
11
01
11
00
10
11
01
10
10
11
01
00
11
00
01
01
11
10
10
00
10
10
01
01
10
01
00
10
10
00
00
11
00
00
10
11
01
00
10
10
01
00
11
10
11
01
00
00
00
01
10
11
01
00
10
10
11
00
10
00
10
11
01
00
01
01
01
10
00
11
10
10
01
00
10
01
11
11
00
00
00
01
10
10
10
00
00
10
00
11
10
10
00
10
00
10
11
00
10
10
00
00
11
00
10
10
01
11
10
10
01
00
00
10
00
11
10
00
01
10
00
10
10
10
01
00
10
00
10
00
11
01
10
11
11
00
00
00
01
10
00
00
10
11
00
00
00
11
10
00
00
11
11
11
11
01
00
10
00
01
10
10
01
00
11
10
10
00
11
00
01
11
10
00
00
11
00
01
10
01
00
00
10
10
01
01
10
11
10
10
00
11
01
01
11
10
01
10
01
00
10
10
01
10
10
00
01
01
01
00
11
10
11
10
10
10
01
10
00
11
00
00
10
11
00
01
11
10
00
10
00
00
11
11
10
01
00
10
11
10
10
00
00
10
00
10
01
01
11
11
10
00
00
10
00
01
10
10
00
11
01
10
10
10
00
00
10
00
11
10
00
01
01
11
00
00
10
01
00
01
00
10
01
10
10
01
10
01
01
00
10
11
00
10
00
01
11
10
01
10
11
10
01
00
10
00
01
00
10
00
00
10
00
10
00
11
00
00
00
11
11
01
01
10
00
00
00
00
10
10
10
11
10
10
01
00
11
10
00
10
10
00
01
00
10
00
10
10
10
00
01
00
10
01
10
01
01
10
01
01
10
01
10
10
00
11
11
00
00
10
10
01
01
00
10
10
00
00
11
00
10
10
00
11
00
10
00
01
10
00
11
10
00
01
00
10
10
10
10
10
00
10
11
01
10
10
10
11
10
01
00
00
10
11
10
00
01
10
00
10
10
10
10
10
10
10
01
10
10
00
10
10
00
10
01
11
00
10
10
11
10
00
01
10
00
01
10
00
00
00
11
01
11
10
11
00
11
00
10
10
10
10
00
11
00
10
11
00
01
10
10
00
10
10
00
10
01
00
11
01
00
00
00
10
10
00
11
10
10
01
10
10
11
10
00
10
00
11
10
00
00
00
10
00
01
00
01
11
01
10
01
01
11
00
00
00
10
01
11
11
10
10
01
00
10
01
00
10
00
00
10
00
00
11
00
01
00
01
10
10
11
10
11
00
01
00
01
01
10
10
10
11
00
00
10
10
10
10
10
01
00
01
10
00
00
01
00
11
10
00
01
10
11
00
10
00
01
10
10
10
00
00
10
11
01
00
00
00
01
00
00
11
10
11
11
00
11
00
00
00
10
10
00
10
10
00
00
10
00
10
00
10
00
00
00
00
00
11
01
00
11
01
01
01
10
10
00
00
10
10
11
10
11
01
11
10
10
00
01
10
00
10
10
00
10
00
11
00
00
10
00
00
00
11
10
10
00
00
00
00
00
10
11
01
00
11
00
11
01
00
00
10
10
00
10
11
00
10
01
00
10
10
00
11
10
10
01
00
10
00
11
00
11
10
00
00
00
01
00
10
10
11
01
10
11
00
11
10
10
00
01
10
10
10
00
00
10
10
01
01
10
11
00
10
10
00
00
01
01
00
10
10
11
00
00
10
11
01
01
11
11
11
10
00
11
10
10
11
01
00
00
10
00
11
10
00
00
00
10
00
11
10
00
11
00
11
00
10
00
10
10
00
00
01
00
00
10
11
11
10
01
10
10
00
10
10
00
10
11
10
00
10
00
10
00
10
10
11
10
00
00
10
10
00
00
11
00
00
00
10
10
01
00
00
10
00
00
10
10
10
10
10
11
11
10
11
10
01
11
11
00
00
10
10
00
10
00
00
10
10
10
00
01
10
10
11
10
11
01
01
10
00
00
11
10
10
00
11
11
01
00
00
10
01
10
10
00
00
11
11
10
01
11
10
01
10
01
00
00
11
11
01
00
01
10
11
10
01
10
10
00
10
10
01
11
10
11
10
11
11
01
10
10
10
01
11
10
01
00
10
10
01
00
10
10
01
11
10
00
00
10
10
10
10
00
01
00
00
00
00
00
10
10
00
10
10
11
01
00
01
11
01
11
10
01
10
01
00
01
10
10
10
10
11
00
11
10
11
10
10
00
01
00
10
00
01
10
00
01
10
10
00
10
10
00
01
11
00
00
11
10
00
00
10
10
00
10
10
00
10
10
01
10
11
00
10
00
01
00
10
00
00
01
10
01
10
10
00
10
11
01
00
01
11
10
10
11
10
10
00
00
00
11
11
00
00
01
01
11
10
00
10
10
01
00
10
10
10
00
00
00
01
00
10
10
01
10
10
01
00
11
10
10
00
10
01
01
10
00
11
00
10
10
01
10
01
00
11
11
00
10
10
10
00
10
11
00
00
01
01
01
10
10
10
10
00
11
11
00
00
10
10
01
11
01
00
10
11
00
10
11
01
00
00
01
11
10
00
11
01
00
10
00
00
11
10
00
10
00
00
00
00
10
01
00
01
01
00
10
01
00
10
00
00
11
10
01
00
10
11
10
01
00
01
10
10
11
01
00
10
10
10
00
10
10
00
10
10
11
10
11
10
10
00
00
10
01
00
11
01
10
11
00
01
11
11
00
10
00
11
10
00
10
11
00
01
01
11
00
11
00
00
00
10
00
00
00
10
00
10
10
11
01
00
10
00
00
10
11
00
00
00
10
10
10
01
10
11
11
11
00
01
11
10
00
10
00
10
01
00
11
10
01
11
01
10
00
10
00
00
11
01
01
11
11
00
10
10
11
01
01
11
01
11
10
00
11
00
00
10
00
01
01
10
10
10
10
10
10
01
00
11
10
11
10
11
11
00
01
00
01
11
00
10
00
00
11
01
00
10
00
00
00
10
10
10
00
00
10
11
00
00
01
11
11
10
10
00
00
01
00
11
10
11
10
01
11
00
00
10
01
00
01
10
00
10
00
10
10
00
00
01
00
10
00
11
01
00
01
10
11
00
00
10
10
00
00
10
10
01
11
10
01
10
10
01
11
00
01
10
10
10
01
00
11
00
10
01
00
10
10
10
01
01
01
01
00
11
00
00
10
10
00
11
10
00
10
10
11
00
11
11
11
11
01
00
11
10
01
00
11
01
01
01
10
10
11
10
00
00
10
10
10
10
00
00
00
00
10
00
00
00
11
10
00
01
00
00
11
10
00
10
10
10
00
01
10
10
10
10
01
00
01
10
01
01
11
10
01
10
10
00
01
10
10
00
00
10
10
00
01
01
11
10
10
10
10
01
10
11
10
10
01
00
10
00
00
00
11
10
01
01
00
10
11
00
00
01
11
11
10
00
00
10
01
01
00
00
11
10
11
10
10
10
11
00
01
00
10
01
00
11
10
00
10
11
01
01
11
10
00
01
00
00
00
11
11
10
01
11
01
00
10
00
10
11
00
11
10
00
00
01
00
10
00
01
01
00
11
11
00
10
10
00
10
10
00
11
00
10
10
00
00
10
10
00
10
00
00
10
10
01
01
10
00
10
01
10
00
11
10
01
10
01
01
00
11
00
01
10
10
00
00
00
10
01
00
11
00
10
01
10
11
01
00
11
11
00
11
00
00
10
10
00
10
10
00
00
10
10
01
11
00
00
00
10
10
10
10
10
00
10
00
10
10
01
00
00
11
01
11
10
10
01
00
10
10
00
00
10
11
11
10
00
10
10
01
10
01
00
00
11
10
00
10
10
01
10
10
01
10
10
00
10
00
10
10
01
00
10
10
11
01
01
10
11
11
01
00
11
10
11
11
00
01
10
10
10
00
01
01
10
00
00
00
10
00
01
10
10
00
00
10
01
00
00
10
10
10
00
10
11
00
00
00
10
00
10
01
00
01
10
11
00
00
00
00
10
10
00
10
10
00
00
11
00
00
10
01
11
10
10
00
10
10
00
01
01
00
11
10
01
11
00
10
10
01
00
01
00
00
10
10
00
11
00
00
00
10
11
10
01
10
10
01
00
01
11
10
00
10
10
00
10
10
10
00
10
00
00
10
11
01
01
11
00
11
00
10
01
10
10
00
00
00
01
10
00
10
00
00
00
10
11
10
11
10
00
01
10
11
10
00
00
00
00
01
01
11
00
00
10
00
11
11
00
11
11
10
10
10
10
01
10
10
00
10
00
01
00
10
01
10
11
10
00
00
11
01
10
10
10
10
00
01
10
10
10
01
00
10
10
00
00
10
10
00
11
01
01
11
10
10
00
10
10
00
00
10
11
10
10
00
01
10
10
00
10
10
00
00
11
00
01
00
10
00
10
01
10
01
00
11
10
00
00
00
11
01
10
10
10
10
01
10
11
00
00
11
00
01
10
10
10
00
10
00
11
10
10
00
01
10
11
10
00
00
00
10
00
10
10
01
10
11
01
11
00
10
01
01
10
11
10
11
11
00
00
00
00
11
01
00
10
00
01
00
01
01
10
10
11
00
11
11
00
10
10
00
00
10
10
11
00
00
00
10
00
00
10
10
11
10
00
00
01
01
11
10
00
00
01
11
11
11
01
01
00
01
10
11
01
00
10
11
00
01
10
10
10
10
11
01
00
10
00
01
10
10
10
11
00
11
00
00
10
10
11
10
00
00
10
00
10
00
10
00
10
01
00
10
00
01
11
10
00
10
11
10
10
00
11
00
10
01
01
11
10
10
10
10
01
10
01
00
10
11
10
11
00
10
10
11
00
00
11
01
00
10
10
10
10
11
11
00
00
10
11
00
10
10
00
11
00
00
00
01
00
10
11
00
01
00
10
00
00
10
10
11
00
01
11
10
01
11
11
01
00
00
10
00
01
00
11
10
01
01
00
10
01
10
10
10
00
00
00
01
10
01
00
00
11
11
11
11
00
01
11
10
00
10
11
01
10
10
10
10
10
00
00
00
11
10
10
10
00
01
00
11
00
00
10
01
10
10
10
00
00
11
10
00
10
10
01
11
01
10
10
10
01
10
00
00
11
11
10
00
01
10
10
00
01
00
10
00
00
10
11
01
10
10
01
11
01
00
10
10
11
10
10
00
10
10
00
11
00
01
00
10
10
01
00
01
00
11
10
10
10
01
00
11
11
00
10
00
00
01
10
11
00
10
00
11
10
01
00
11
11
11
00
00
11
10
00
00
10
11
00
01
00
01
00
10
10
11
00
01
10
10
00
11
00
00
00
11
00
01
01
10
00
10
10
00
10
10
00
10
00
00
00
10
00
11
10
01
10
00
10
00
00
10
11
01
01
11
01
11
10
01
00
10
11
00
11
00
00
00
01
11
00
11
11
11
00
00
10
10
01
00
10
00
00
11
00
00
11
10
00
10
10
00
10
01
01
00
11
10
10
00
11
10
00
00
11
00
11
10
10
00
10
00
11
11
00
11
10
01
00
00
00
10
01
01
11
00
11
10
00
10
11
01
00
00
11
01
00
00
00
01
00
10
10
11
01
10
10
00
01
01
11
11
00
00
10
11
00
10
00
00
01
10
01
10
00
00
00
01
10
00
01
00
10
00
00
10
10
11
10
11
00
10
00
00
00
11
10
00
10
10
00
00
10
11
00
10
10
00
10
00
10
10
01
00
00
01
00
00
10
10
00
00
10
11
00
00
10
01
01
10
11
10
00
10
01
00
11
11
10
01
10
10
00
11
00
00
11
11
01
00
10
10
10
10
00
01
10
11
01
10
01
10
01
10
00
00
00
11
10
11
11
10
00
01
00
00
11
10
10
00
11
01
11
11
01
11
11
11
10
00
00
11
00
01
11
11
01
00
00
10
10
01
11
11
00
00
00
10
01
10
00
01
00
00
00
10
10
11
11
10
00
00
10
00
11
10
01
10
00
00
11
01
00
11
10
01
01
01
11
10
00
00
01
10
01
00
11
11
10
01
00
11
10
10
10
10
10
00
11
00
10
10
10
00
00
10
01
10
00
00
00
10
10
01
00
11
00
11
10
11
10
00
00
11
10
01
00
10
00
11
11
01
00
10
10
01
00
00
10
01
10
01
00
11
10
10
10
00
00
00
10
00
00
10
11
00
10
00
10
10
00
01
00
00
11
00
11
10
10
10
11
00
10
11
00
11
10
01
01
11
10
00
11
10
11
00
00
10
01
11
10
00
00
10
01
11
00
00
10
01
10
11
11
11
00
01
10
10
11
10
00
00
11
00
01
10
10
00
11
00
10
00
00
00
00
10
10
10
00
10
00
11
11
00
00
01
00
10
00
01
11
10
00
01
10
10
11
00
00
01
10
11
11
10
01
01
00
01
00
10
10
11
11
00
00
10
11
00
00
10
11
00
10
00
00
00
01
10
10
11
11
10
00
00
10
01
00
00
00
11
10
00
10
11
00
00
11
01
11
11
00
01
10
01
01
11
10
10
00
10
11
00
11
00
01
10
01
00
11
10
00
11
10
00
00
00
10
10
00
11
00
11
10
01
00
10
10
01
10
11
10
10
01
00
01
00
00
10
10
00
01
10
10
01
10
00
01
10
00
00
00
10
10
00
00
00
10
10
00
01
10
00
11
00
00
10
10
01
00
00
10
10
10
10
10
00
00
10
10
00
01
00
00
00
10
10
10
01
00
00
11
00
11
10
10
00
11
11
00
00
11
01
01
00
11
11
00
10
10
01
01
10
10
10
10
01
11
00
00
10
00
00
00
10
10
10
10
11
01
00
00
00
00
01
10
10
11
10
10
00
10
00
00
10
01
10
00
10
11
10
00
11
01
10
10
00
10
00
01
11
00
10
10
10
00
10
00
00
10
11
01
11
11
10
10
11
11
00
11
11
00
10
10
00
10
01
00
10
00
00
10
10
01
10
11
01
01
10
00
11
00
11
10
00
00
10
10
11
11
01
00
11
00
01
11
11
11
00
01
10
11
00
01
10
11
10
01
11
10
11
00
00
01
10
00
00
10
10
10
00
10
11
11
10
00
11
10
01
01
11
00
10
10
10
10
11
01
00
00
00
10
00
00
01
10
00
10
00
00
00
01
11
10
01
10
00
11
01
10
01
00
10
01
00
11
00
00
10
11
00
10
10
00
00
11
00
10
01
00
00
11
11
10
01
00
01
10
11
00
00
11
10
10
00
00
11
11
00
10
00
00
01
10
11
10
00
00
11
01
00
10
10
00
01
11
00
10
10
00
00
00
10
01
01
11
11
10
11
00
10
01
01
10
11
10
00
00
00
00
10
00
11
00
11
10
10
00
01
10
00
00
10
00
10
00
01
00
00
00
10
10
00
00
10
00
01
11
10
01
10
00
00
10
00
11
10
01
10
10
01
00
11
10
11
00
10
01
01
00
10
10
11
01
00
00
11
01
00
10
01
00
11
11
00
11
11
00
01
01
01
10
00
00
11
01
01
11
00
00
10
10
00
00
01
11
10
00
00
10
01
00
00
10
10
10
10
00
01
00
01
11
01
00
11
00
11
01
00
00
10
10
00
10
00
10
10
11
00
00
00
01
10
10
00
01
11
01
00
01
00
10
10
01
01
01
10
10
00
01
10
11
00
00
10
11
00
10
00
11
10
10
11
00
10
10
10
00
10
11
01
00
10
10
00
00
10
11
10
01
10
10
10
10
11
10
01
00
00
00
11
10
00
11
11
00
10
11
00
10
00
00
10
10
10
00
11
10
01
00
00
11
11
10
01
11
10
00
10
00
00
10
11
00
00
10
01
00
10
00
01
10
10
10
00
10
01
00
11
01
10
10
00
00
11
11
00
01
01
01
10
11
10
01
10
10
00
01
00
00
00
10
10
10
00
01
10
10
10
10
10
00
00
01
11
00
00
00
10
10
11
01
11
00
11
11
00
01
10
10
01
01
10
10
00
00
01
10
00
10
10
01
00
10
00
10
00
00
10
10
00
11
10
10
10
11
10
00
01
10
00
10
11
01
10
00
11
00
00
10
00
00
10
10
01
01
00
10
01
00
10
11
10
11
10
00
01
00
10
10
10
00
00
00
10
10
10
01
00
10
01
10
10
00
01
00
10
00
00
01
00
10
00
01
00
10
01
01
11
00
10
10
01
11
10
10
01
10
00
01
01
10
00
10
10
01
00
01
00
11
00
00
10
10
01
00
10
11
10
00
00
10
10
10
00
00
00
10
00
01
01
10
00
11
10
10
00
11
00
10
10
01
10
00
00
00
00
00
00
01
01
10
11
00
00
00
01
10
10
00
00
10
00
10
10
00
10
00
00
01
10
01
00
10
10
11
00
10
11
00
00
01
10
10
11
00
01
11
01
11
01
11
00
00
10
00
00
10
00
00
11
01
10
10
10
11
10
00
00
00
00
11
00
10
11
00
10
11
10
00
01
10
10
10
00
10
00
10
00
11
11
10
00
00
00
01
00
01
10
00
00
10
01
00
00
11
10
11
10
11
00
10
10
00
01
10
10
00
00
10
10
00
11
00
00
11
10
01
00
10
11
00
00
11
00
00
00
00
00
11
10
00
01
11
00
10
11
00
11
00
01
10
01
00
10
10
00
10
10
11
01
01
10
11
11
11
00
10
00
00
10
10
00
00
11
10
11
10
00
10
10
00
10
10
00
01
00
01
01
11
01
00
01
01
00
11
10
00
00
10
11
11
10
01
00
10
01
00
00
10
10
00
10
00
11
10
00
10
00
11
00
11
11
10
10
10
00
00
10
10
01
00
10
00
01
11
00
00
10
10
10
10
00
10
10
11
01
11
00
01
00
00
00
11
10
00
01
10
01
10
01
01
11
11
11
01
01
10
10
10
00
00
10
10
00
00
10
00
00
00
00
10
00
10
11
11
11
11
00
11
00
11
11
00
00
11
00
00
11
11
00
00
00
00
10
10
11
00
00
10
10
10
00
00
10
10
00
11
00
10
10
01
10
10
10
00
11
00
00
00
10
11
00
01
10
00
11
10
10
10
10
00
10
00
00
01
00
10
10
00
00
01
10
10
00
01
10
10
01
00
11
11
01
11
10
00
00
11
00
10
10
00
01
10
10
01
00
10
00
11
11
00
10
10
01
00
10
00
10
00
11
01
01
00
00
00
00
11
10
10
01
10
11
01
11
01
11
11
00
00
11
11
01
00
00
10
00
11
10
11
01
01
11
00
11
10
10
00
11
01
00
11
00
10
00
01
10
01
01
10
10
10
11
11
00
00
10
01
10
10
01
10
00
00
00
00
10
00
11
00
11
10
00
00
00
00
11
01
00
11
01
11
10
01
10
00
00
10
00
10
00
01
00
10
01
00
00
10
00
11
01
01
11
11
00
10
00
00
11
10
00
10
11
01
01
11
11
10
11
01
01
11
11
00
10
00
10
10
10
10
10
00
10
11
11
00
11
11
01
00
10
00
00
00
11
10
10
01
10
10
00
10
10
01
00
00
10
00
00
11
00
11
00
00
10
11
00
10
10
10
01
00
00
00
11
10
10
00
01
10
01
01
11
00
01
10
00
11
00
00
10
10
00
01
10
00
10
11
11
10
10
00
10
00
11
11
10
10
11
10
00
01
10
11
10
10
00
11
10
10
10
00
10
01
10
11
00
01
10
11
00
01
10
10
10
00
00
10
11
00
10
00
01
10
10
00
00
10
01
00
10
01
10
11
01
10
11
10
01
11
11
01
10
10
00
01
10
11
00
01
11
01
00
11
00
01
11
10
00
00
10
11
01
00
11
10
11
00
00
00
01
11
10
11
00
00
10
10
10
01
10
01
00
11
10
11
00
00
10
01
00
11
00
01
10
10
10
10
01
00
00
11
00
00
11
10
00
10
11
10
01
10
10
11
00
10
10
10
00
10
10
00
00
10
00
11
01
00
00
01
01
11
11
00
00
10
11
00
01
01
11
11
00
10
11
00
00
10
10
00
01
11
10
10
01
01
10
01
10
01
00
11
01
01
00
10
10
01
10
11
10
00
00
01
10
00
01
10
11
01
00
11
00
00
00
10
10
00
00
10
00
10
01
00
10
10
01
11
00
00
00
11
11
10
00
11
00
01
10
10
01
00
00
01
00
01
00
11
10
00
00
00
11
11
10
00
10
11
01
01
10
10
01
10
10
01
00
10
00
10
10
10
01
00
01
00
00
10
00
11
00
01
10
10
00
00
00
01
10
10
00
01
10
01
00
00
00
10
01
01
10
10
00
00
01
10
10
00
00
10
00
11
10
11
01
00
00
10
00
11
10
11
10
00
10
10
00
01
01
11
00
00
10
10
10
00
00
11
11
00
01
10
10
00
11
01
01
01
10
00
00
10
11
10
01
10
11
00
10
00
01
01
10
11
01
10
10
00
01
00
00
10
11
00
10
10
10
10
01
01
01
00
11
00
10
01
01
01
10
10
00
11
10
01
00
11
00
10
10
10
01
01
00
10
00
11
10
10
10
00
00
10
00
00
10
10
10
01
10
00
00
00
10
10
00
00
10
00
00
11
10
01
11
11
11
01
11
10
00
00
00
10
10
10
01
00
10
10
11
01
00
11
01
00
01
01
11
01
01
11
11
01
00
11
01
00
00
10
10
00
10
10
11
00
10
11
00
00
01
10
10
10
01
00
10
01
01
00
01
00
10
01
00
10
10
00
00
10
00
01
01
00
11
11
10
00
00
00
11
10
01
00
00
11
01
10
00
01
10
10
10
10
11
00
10
00
01
01
00
10
00
01
10
11
00
10
10
00
10
01
10
10
00
00
00
10
10
00
00
00
10
00
00
00
01
10
10
00
10
01
11
11
01
00
00
00
10
10
10
01
00
11
00
10
00
00
10
10
11
11
11
10
00
01
00
11
10
00
10
00
00
01
01
10
10
00
01
01
01
10
00
00
10
10
01
10
00
11
10
10
00
00
01
10
00
00
10
00
10
10
01
11
00
11
10
11
11
01
00
00
01
10
11
00
10
10
00
00
00
10
11
01
11
00
10
01
01
10
00
00
00
10
00
01
10
01
00
11
10
00
01
01
00
10
11
10
00
00
00
11
11
01
00
00
10
10
11
10
00
00
11
10
11
10
00
10
00
01
01
00
10
10
10
10
11
10
00
10
10
10
10
10
00
10
00
11
01
11
11
00
10
00
01
10
01
01
11
01
01
10
01
00
10
01
01
11
10
00
10
10
01
10
01
10
00
10
10
10
10
00
00
10
00
10
01
11
10
00
00
11
10
11
00
10
00
01
11
11
11
00
10
00
01
01
10
11
11
10
11
00
01
01
00
10
10
01
10
01
00
11
10
10
11
10
00
00
00
10
10
00
00
10
10
11
10
00
00
11
10
00
00
10
10
10
10
00
01
11
10
00
01
00
00
01
10
01
00
00
00
10
00
01
10
11
00
00
00
00
11
10
11
00
01
10
11
10
10
10
01
10
11
10
00
00
11
10
10
10
01
10
11
01
10
01
01
11
11
10
01
10
10
00
10
11
00
10
10
00
00
10
00
00
11
01
10
00
00
00
00
10
01
00
10
00
10
10
10
10
00
10
10
10
00
10
10
10
01
00
10
10
11
00
01
10
10
00
10
01
00
11
10
10
01
00
11
11
01
10
00
11
10
01
00
11
00
10
00
00
00
00
10
11
11
01
00
10
01
10
11
10
00
00
01
00
00
00
10
10
10
00
00
00
00
11
10
10
11
10
00
00
00
00
01
00
11
10
00
10
11
00
10
00
11
10
10
10
00
01
00
00
10
11
11
01
10
10
00
10
11
01
11
10
10
00
11
00
00
01
10
10
10
11
00
11
01
00
00
00
10
11
10
00
01
01
10
10
10
01
10
10
01
11
11
10
01
00
10
11
00
10
10
11
01
10
00
01
10
00
10
10
00
11
01
11
01
00
10
00
11
11
01
01
10
00
11
00
00
10
10
00
00
00
11
01
01
10
10
10
11
00
11
10
00
00
00
11
01
00
10
00
10
00
10
10
00
10
11
00
00
10
10
00
01
00
01
10
10
01
10
01
01
10
10
10
01
11
10
01
10
00
10
10
01
00
01
00
10
11
10
00
01
10
00
01
00
11
11
11
00
11
10
11
11
00
01
00
10
10
01
00
00
10
10
10
10
00
10
10
00
11
01
10
11
01
00
11
10
00
11
00
01
10
00
00
10
10
00
00
11
00
10
10
00
01
10
01
11
10
10
10
10
00
00
00
00
01
00
10
00
00
10
01
01
10
10
11
10
10
00
01
01
10
10
10
00
11
10
00
01
11
10
00
00
00
00
10
10
01
10
10
10
10
11
10
00
10
00
00
10
10
11
10
10
00
01
00
01
10
10
01
00
00
10
11
01
10
10
10
01
10
10
00
10
00
01
01
11
10
11
01
11
00
00
00
11
01
01
10
10
00
10
10
00
00
10
11
11
00
00
00
10
10
10
00
00
11
00
10
00
01
00
11
10
11
10
11
01
01
10
00
10
10
00
00
11
10
00
11
11
10
00
00
00
01
01
01
10
11
00
10
00
00
00
10
01
00
11
10
10
00
10
01
11
10
11
00
00
00
00
10
01
01
10
10
00
01
01
10
10
10
11
01
00
01
10
01
10
00
01
00
11
11
00
00
01
10
11
10
01
01
00
10
00
10
00
00
10
10
10
10
10
00
10
11
01
00
10
11
10
10
01
00
11
00
01
00
11
10
01
00
11
11
11
01
01
10
10
00
11
10
00
00
10
10
01
10
11
10
11
10
10
10
00
00
10
00
00
10
10
10
01
00
10
10
00
10
10
11
00
10
11
11
00
00
10
00
10
01
10
00
00
10
10
01
10
01
00
11
11
10
11
00
00
10
10
01
11
11
11
10
11
10
00
10
11
01
00
10
11
00
00
00
11
10
01
11
10
00
10
00
01
11
11
01
01
10
00
00
01
10
11
01
01
01
10
00
00
10
10
10
10
00
10
00
10
00
00
11
00
01
10
10
00
00
10
10
11
10
10
00
10
00
00
11
10
00
00
11
00
10
11
01
00
10
00
10
00
01
11
01
11
10
00
10
00
00
10
11
01
00
10
11
00
00
10
01
10
00
10
01
10
10
11
00
11
11
11
00
00
00
01
11
01
10
11
11
01
10
10
00
00
10
10
10
01
00
10
01
10
01
00
10
10
00
10
10
00
00
01
10
11
00
10
10
01
11
11
10
00
10
10
01
00
10
01
10
10
10
01
01
11
10
10
01
10
11
11
01
00
00
01
10
00
00
10
00
01
00
10
10
00
00
10
11
10
01
01
01
10
10
10
00
00
11
11
00
00
00
00
10
01
11
10
11
10
10
11
00
01
11
11
01
11
00
00
10
00
10
10
11
00
01
10
10
10
00
00
11
10
00
10
10
00
00
00
10
00
00
00
00
10
01
00
11
10
01
10
11
10
00
10
10
00
01
11
10
10
10
10
00
11
11
00
11
10
11
10
00
00
10
11
00
00
11
10
10
01
11
00
00
00
11
11
11
01
01
10
00
01
10
01
11
10
00
11
00
11
00
01
10
10
00
00
10
10
01
00
11
00
11
00
11
10
01
10
10
00
00
00
10
10
00
00
01
00
00
11
10
00
10
11
00
10
11
11
10
10
10
01
10
10
10
00
10
10
00
00
00
10
00
10
10
00
00
01
00
00
01
00
01
00
10
00
00
00
10
01
01
10
11
00
00
10
11
00
10
10
01
01
11
00
00
10
11
00
11
10
00
00
01
01
10
01
01
10
10
01
10
10
01
00
01
10
00
00
00
10
00
00
11
11
00
11
00
00
00
01
11
01
01
10
10
10
00
11
01
00
10
10
10
10
10
00
00
00
11
10
01
10
00
00
11
01
01
10
11
01
10
01
00
00
10
01
10
00
10
11
00
11
00
01
01
10
10
10
00
00
00
01
11
10
01
00
01
01
00
01
00
01
10
10
01
10
10
10
00
01
10
10
00
11
10
10
00
11
00
00
00
00
10
01
00
10
00
01
10
01
00
10
11
00
11
10
00
00
01
10
10
00
00
00
10
00
10
00
01
00
11
00
00
01
11
10
00
10
10
01
00
00
00
10
11
10
10
10
01
00
00
10
00
00
11
01
01
01
11
10
01
11
00
10
11
01
10
10
00
00
10
00
01
00
10
10
00
11
00
11
11
10
10
10
00
11
01
01
10
00
01
00
11
00
01
10
01
10
00
01
10
10
10
10
00
00
00
00
00
01
10
00
00
00
00
01
10
00
10
10
10
10
00
10
10
01
00
10
00
00
10
01
01
00
01
00
00
01
00
10
00
00
10
11
01
00
01
10
00
10
11
00
01
01
10
10
10
10
11
10
00
10
00
10
00
11
00
00
10
00
10
10
10
11
11
01
01
10
00
10
10
11
01
01
11
10
00
01
01
10
00
00
10
10
00
10
00
11
10
00
10
00
10
01
11
11
10
01
00
01
01
01
10
11
10
00
10
11
10
00
00
10
00
00
00
10
10
11
00
00
10
11
10
11
10
00
11
11
00
01
10
11
01
11
00
00
10
00
11
00
10
10
01
10
00
00
00
10
11
11
10
10
01
00
10
10
00
00
10
01
11
11
00
11
10
10
00
00
00
10
00
10
01
11
00
00
10
00
00
10
01
00
00
10
11
00
11
01
00
01
11
00
10
10
00
10
11
00
00
00
00
11
00
10
11
01
10
00
01
00
10
10
00
11
10
11
01
00
10
11
10
01
10
10
00
00
00
01
10
10
11
00
10
01
00
01
10
11
10
00
11
10
11
00
00
10
10
10
10
00
01
10
01
10
11
10
00
00
01
10
10
10
10
00
01
11
10
00
11
10
01
00
01
10
01
00
11
01
00
00
10
00
00
10
10
00
10
00
01
01
10
00
01
10
10
00
10
11
10
00
10
01
00
11
00
01
11
10
00
10
00
01
10
10
00
01
10
10
00
01
00
00
00
11
10
00
00
11
10
00
10
01
10
01
00
01
00
00
00
11
01
10
00
01
01
10
01
01
10
01
10
10
00
01
10
00
00
10
00
10
00
10
01
00
01
00
01
01
11
11
01
11
10
00
00
00
01
11
11
10
00
10
00
00
10
10
00
00
00
00
10
11
11
10
00
00
10
10
01
10
11
01
00
01
00
10
00
10
11
10
00
11
01
00
11
00
11
10
00
10
10
10
01
10
00
01
00
01
00
11
10
11
01
00
11
01
11
10
00
10
10
00
00
11
10
10
00
01
10
00
00
10
10
01
10
10
11
00
01
00
10
00
00
10
10
00
00
00
11
11
01
10
10
00
11
00
10
11
01
01
10
00
00
01
00
11
00
00
11
10
10
10
00
00
11
01
00
00
11
10
11
10
00
11
10
11
01
00
00
11
10
10
00
10
11
00
10
10
10
11
10
10
01
01
10
00
10
00
10
00
10
01
11
11
00
10
10
00
10
11
10
01
01
11
01
10
10
00
00
10
00
00
10
10
10
10
01
00
00
11
00
01
00
10
11
01
00
11
10
00
00
00
10
11
01
01
00
00
01
00
01
10
01
01
10
00
00
10
10
01
01
00
01
00
11
10
11
10
00
10
10
10
00
00
11
00
00
00
00
10
10
00
10
10
11
01
00
01
10
00
00
10
10
00
10
10
01
00
00
00
10
11
11
00
00
11
10
00
10
01
00
00
01
00
10
10
01
11
10
10
10
10
10
00
00
10
10
01
01
10
00
01
01
10
10
10
00
10
11
11
10
01
00
10
00
10
01
00
01
10
10
00
11
10
00
10
10
10
00
10
10
10
10
11
01
00
00
10
10
01
00
10
10
00
10
11
01
00
10
11
11
00
00
11
10
00
01
10
11
00
10
10
00
01
01
11
11
01
01
11
00
10
01
00
10
00
00
10
11
10
10
11
00
11
11
00
10
01
11
10
01
00
10
00
01
10
00
10
01
00
10
11
11
01
10
01
10
10
01
01
00
10
00
00
01
10
10
01
10
11
10
10
10
11
00
00
10
00
11
10
00
10
01
11
11
10
10
01
00
01
00
00
10
00
00
00
11
00
10
11
10
10
00
00
10
10
10
11
10
01
00
10
10
00
00
11
10
11
11
00
00
00
11
10
10
01
11
10
10
11
00
00
11
00
11
11
00
10
00
00
00
10
10
10
00
01
10
11
10
00
00
00
11
10
01
01
10
10
10
10
00
01
11
11
10
00
00
10
10
00
10
00
00
10
10
10
10
01
00
11
00
10
10
00
00
00
00
10
11
00
01
00
01
00
10
00
01
10
10
10
10
00
10
10
00
10
00
00
01
01
01
01
00
11
01
00
10
10
00
10
10
01
00
01
11
11
11
10
00
00
00
11
11
00
00
00
00
10
11
00
00
00
00
10
00
10
00
00
11
01
10
11
10
01
00
00
10
10
10
00
00
00
01
01
11
10
11
11
00
00
00
10
11
01
01
11
11
10
10
10
01
01
10
00
00
11
10
10
10
00
00
10
11
10
10
10
00
00
00
00
10
00
01
10
10
00
11
00
10
01
01
10
10
11
00
11
11
01
00
11
10
00
00
10
11
01
01
10
10
00
01
10
10
11
01
11
11
00
00
01
00
00
10
01
10
10
10
00
11
01
11
11
00
00
00
10
10
11
00
01
10
00
01
10
00
01
11
10
00
01
11
00
01
10
10
00
11
00
10
00
00
10
10
00
00
00
00
00
11
10
00
10
00
01
00
01
00
10
10
10
11
00
10
10
10
00
00
01
10
00
00
10
01
00
01
11
10
01
00
00
10
11
00
00
10
10
00
01
00
10
10
11
01
00
00
01
11
00
11
00
00
10
11
00
10
11
10
10
00
01
00
11
10
00
01
10
11
11
01
01
10
10
00
00
10
11
00
00
01
01
01
11
10
10
10
01
11
11
00
01
10
11
10
10
00
01
11
10
10
00
11
10
11
10
01
00
00
01
11
01
00
10
11
10
00
00
10
11
10
11
00
10
00
10
10
10
10
00
10
00
00
00
10
10
01
10
11
01
11
01
10
11
00
11
11
00
01
10
11
00
10
11
10
11
11
00
00
10
11
10
10
00
00
10
10
10
00
10
10
10
00
00
11
11
10
01
00
10
10
00
10
01
10
10
10
00
10
10
00
10
00
00
00
11
00
10
00
00
10
01
00
10
01
01
00
10
10
00
11
10
00
10
00
01
11
01
10
10
11
10
00
01
10
10
00
10
01
00
01
00
11
00
11
10
11
10
00
10
01
01
00
11
10
10
11
00
00
11
01
10
10
11
10
01
01
00
10
11
10
01
10
00
01
00
10
10
10
00
10
10
00
10
10
01
00
01
00
00
00
00
11
10
00
11
10
00
10
00
00
00
00
10
11
00
10
11
00
11
11
00
01
00
10
11
01
00
00
01
10
01
00
10
10
00
00
00
00
11
10
00
00
00
00
01
00
11
01
00
10
00
01
10
00
00
11
10
01
00
00
01
10
10
00
11
11
00
10
00
11
10
01
11
11
11
00
00
10
01
00
11
00
00
10
10
00
00
01
11
11
00
00
00
10
00
00
10
01
10
10
10
01
00
11
00
10
10
11
00
11
10
01
01
00
10
10
10
00
00
10
10
11
00
00
00
00
00
10
00
10
10
01
10
01
01
10
00
00
10
01
10
10
11
01
00
10
10
00
10
10
10
00
00
11
10
11
11
10
11
00
00
10
10
00
00
11
10
11
11
00
01
00
10
01
00
00
00
10
11
00
01
11
00
00
00
00
11
00
00
11
11
00
10
10
10
10
00
10
00
00
11
00
11
10
11
00
01
10
00
01
11
00
10
00
00
10
00
00
00
00
10
00
10
01
11
10
11
00
00
11
00
00
10
10
01
10
11
00
01
01
01
10
11
11
10
00
00
11
00
01
10
10
10
00
11
00
10
11
00
01
10
10
00
10
10
00
00
10
10
10
10
01
10
10
01
00
01
01
10
10
00
00
10
00
00
10
10
01
00
00
01
00
10
00
10
10
00
01
11
11
10
10
10
10
10
01
01
11
00
00
01
01
10
10
10
00
11
10
01
10
00
00
11
10
00
10
01
01
00
10
10
00
10
10
01
01
01
10
01
01
00
00
01
10
10
11
00
00
00
11
10
10
00
00
10
00
00
11
00
01
10
10
00
11
10
00
10
10
00
00
10
10
00
10
10
00
00
10
10
01
10
10
01
10
11
10
11
00
01
10
11
00
11
10
10
10
01
11
10
00
11
00
10
10
01
10
11
01
00
00
00
10
10
00
10
01
01
01
01
00
01
00
11
00
10
10
11
00
10
01
00
10
10
00
10
10
00
10
00
01
01
11
01
10
10
11
11
10
00
01
10
11
01
00
10
10
10
10
00
00
10
00
01
01
01
00
01
10
11
00
11
11
01
00
10
01
00
00
10
11
01
00
10
10
10
01
00
10
10
00
01
11
10
00
01
10
10
00
00
10
01
00
11
00
00
00
00
00
00
10
11
00
11
00
11
00
01
11
10
10
01
11
11
10
10
00
10
10
00
11
10
00
00
10
01
00
01
10
10
00
01
11
10
10
00
00
10
11
00
00
10
10
00
00
00
10
00
10
10
10
10
10
10
00
10
10
10
10
11
01
10
10
10
00
11
00
10
01
10
00
10
00
01
01
10
10
00
10
01
11
01
00
10
11
00
11
10
00
00
10
00
01
01
10
11
00
11
10
01
00
00
10
00
00
11
01
00
10
00
01
11
00
01
11
10
10
10
01
11
11
10
01
00
00
01
10
11
00
11
10
00
00
10
10
01
10
10
00
10
11
01
01
00
11
10
01
01
00
10
10
00
00
10
11
00
10
11
10
00
01
00
10
00
00
11
10
10
00
10
10
01
10
10
00
10
01
01
01
01
00
11
10
10
01
11
01
00
10
11
00
00
11
01
00
10
01
01
10
10
00
00
10
11
00
00
10
11
10
10
10
01
01
01
10
00
10
01
10
10
01
01
11
10
10
01
00
00
00
10
10
00
00
00
01
00
10
10
00
11
10
10
11
01
01
01
01
10
10
10
01
10
10
00
10
01
01
10
00
10
10
00
10
10
10
10
00
00
00
00
11
10
00
11
00
11
00
10
10
00
01
10
00
00
00
10
00
10
01
11
11
01
11
00
10
00
01
10
10
01
10
10
10
10
01
01
11
11
00
10
10
10
01
10
10
10
00
00
00
00
10
01
01
10
10
00
00
00
00
00
00
11
10
10
00
11
11
11
00
10
00
01
00
01
00
10
01
11
10
11
00
00
01
10
10
00
00
10
10
00
00
00
01
10
00
00
10
01
10
11
11
10
10
01
00
11
10
00
11
01
00
11
00
10
00
11
01
00
00
10
10
11
00
00
01
10
01
10
00
10
10
00
00
10
10
00
01
10
11
10
00
00
10
10
01
10
10
00
10
11
00
00
00
01
00
00
01
00
10
11
11
10
10
10
11
01
01
00
11
11
11
10
00
01
10
00
00
10
00
10
10
01
10
11
10
00
10
01
10
10
00
00
11
00
10
10
10
01
11
10
01
00
10
01
10
00
01
11
10
10
11
11
01
00
11
11
01
01
10
00
00
11
10
10
10
00
00
10
11
00
01
10
10
00
00
01
00
01
10
10
01
10
10
10
00
00
01
01
00
11
11
00
10
10
01
00
00
10
10
10
01
00
11
10
00
00
10
10
00
00
00
01
00
10
00
10
00
10
00
11
10
10
11
10
11
00
01
00
10
01
00
00
10
11
00
01
11
10
01
10
00
10
00
10
01
00
10
10
01
10
10
00
10
00
11
00
00
00
01
01
01
11
10
01
10
01
01
10
10
11
00
01
01
00
10
00
01
10
10
10
10
00
11
01
00
00
10
10
00
11
00
10
11
10
10
00
00
10
10
00
00
00
01
11
11
10
00
10
00
00
01
10
10
00
00
00
11
10
11
00
00
01
00
11
11
11
00
01
00
00
00
10
10
10
01
10
01
01
01
10
11
10
01
00
10
00
10
10
01
10
10
00
10
10
10
01
00
10
10
10
11
00
01
00
01
10
01
00
10
10
10
01
10
00
00
11
01
01
10
10
01
11
10
10
10
00
00
01
00
11
10
11
00
10
11
10
10
00
10
10
01
00
01
01
10
10
10
01
00
10
01
10
11
10
00
00
01
01
10
00
00
10
11
01
00
10
11
01
01
00
10
10
10
00
00
10
10
00
10
11
10
00
00
00
10
00
00
11
00
10
10
00
01
10
00
10
11
00
00
11
11
01
00
11
01
10
00
00
10
11
01
01
00
00
10
00
10
01
11
10
11
01
10
00
00
10
00
00
10
10
10
00
00
10
00
00
10
10
01
00
10
11
11
10
11
10
01
11
11
11
11
00
01
11
10
00
10
10
00
01
11
00
00
01
01
00
00
10
10
00
00
10
11
11
00
11
11
00
01
10
10
10
10
00
00
10
00
00
10
00
00
11
11
01
10
00
00
00
11
10
10
00
00
00
01
01
11
10
01
00
00
00
10
10
00
01
10
11
10
10
11
00
00
00
00
01
10
00
00
01
01
11
00
11
00
10
00
00
10
11
10
10
10
11
10
01
11
01
00
00
00
11
01
00
00
11
10
01
10
00
01
10
00
10
11
01
10
11
01
00
10
10
00
01
11
11
00
00
10
10
10
11
00
10
10
10
00
10
00
10
10
10
10
00
10
11
11
00
01
00
01
10
00
00
01
00
11
11
10
11
00
10
00
10
10
10
01
10
11
01
00
10
10
10
10
10
00
11
10
01
01
00
11
01
00
11
10
10
11
10
00
10
10
00
11
00
00
01
00
01
00
00
10
00
10
00
11
10
01
01
00
00
00
01
11
00
00
10
00
00
00
10
10
00
01
00
01
10
10
11
00
10
00
00
11
10
10
00
11
10
10
01
00
00
10
10
00
10
11
10
00
10
00
10
11
10
01
00
11
00
11
00
00
11
11
01
01
00
10
00
10
11
00
01
00
10
00
10
01
10
11
01
00
11
00
10
10
01
00
10
01
01
11
00
01
01
11
10
10
00
01
00
00
11
10
00
10
00
01
10
11
10
01
11
10
00
10
10
00
00
11
11
11
01
01
10
11
10
00
00
00
10
10
11
00
11
10
00
01
01
00
11
00
01
00
00
01
10
00
00
01
10
10
10
00
01
00
00
10
00
10
11
00
00
01
10
10
10
01
10
00
00
01
11
10
10
11
10
00
00
00
10
00
00
11
10
01
10
01
10
00
11
10
00
00
00
11
01
10
10
10
10
10
11
00
10
10
10
00
00
11
00
10
00
10
00
10
01
01
10
10
10
00
01
01
10
11
00
10
10
11
00
00
11
10
00
10
00
00
00
11
01
11
00
10
00
01
01
10
10
00
00
10
00
00
00
00
10
10
11
10
00
01
11
10
11
10
00
00
11
00
01
10
00
00
11
00
10
10
01
00
01
01
11
01
01
01
10
10
00
10
10
01
00
11
00
00
11
11
00
00
00
10
10
10
10
00
01
10
10
00
10
00
00
00
01
11
10
01
00
10
10
01
10
10
00
01
11
10
01
10
11
10
00
00
00
11
10
00
00
11
11
00
10
10
10
00
10
00
00
00
00
10
00
10
00
00
00
10
01
00
10
00
00
10
10
10
01
10
10
11
00
11
10
10
11
11
00
00
00
10
10
01
10
01
10
11
00
10
00
01
11
10
10
00
00
01
11
00
00
00
10
10
11
10
10
11
10
10
11
10
00
11
10
00
11
10
01
01
10
01
00
10
10
10
00
00
10
00
10
10
00
10
10
11
10
01
11
00
01
11
00
11
10
00
01
00
10
00
01
11
10
10
01
00
11
11
00
01
10
10
00
01
11
11
00
00
00
00
00
00
10
10
00
11
10
10
10
00
10
00
01
01
10
10
00
01
01
01
10
00
00
00
10
00
10
11
10
00
00
00
00
11
00
10
01
10
01
00
00
00
10
11
01
00
00
10
10
10
01
10
10
10
11
00
11
00
11
11
00
00
10
00
01
00
10
11
00
00
10
01
10
00
00
11
00
11
01
00
11
10
01
00
10
11
00
10
10
00
00
00
00
11
00
01
10
00
00
11
10
10
01
00
10
11
00
00
11
10
10
10
00
01
11
10
00
10
11
01
11
10
00
10
10
01
01
00
11
00
10
00
11
00
00
11
00
10
00
00
11
01
00
11
10
00
10
00
00
10
10
00
11
10
10
10
00
01
00
11
01
01
01
00
00
10
10
01
00
10
10
00
10
00
00
01
10
10
01
10
11
11
11
00
10
00
10
10
01
10
10
10
10
00
00
10
01
01
01
10
00
11
01
10
11
10
01
01
10
00
10
10
00
10
00
00
00
10
10
00
10
01
10
10
10
10
01
11
01
10
10
10
00
00
10
00
00
00
00
00
10
10
10
10
01
00
11
10
00
11
00
00
10
10
00
00
10
10
00
00
01
10
10
01
00
10
10
10
01
00
00
10
10
00
00
11
01
11
11
11
00
10
01
10
10
00
00
10
00
00
00
00
00
10
11
10
11
10
10
00
00
00
00
11
11
01
00
00
01
10
00
01
10
00
11
00
00
11
00
10
10
10
01
00
11
00
00
10
01
01
11
11
00
00
11
10
00
00
00
11
01
10
11
10
01
11
00
00
10
11
00
00
10
00
01
00
00
11
10
00
11
10
01
10
00
10
10
00
10
11
11
00
10
10
01
10
00
01
00
11
00
01
00
11
00
01
00
11
10
01
00
11
01
10
10
10
10
10
01
01
11
00
11
00
10
00
01
00
11
10
00
10
10
11
00
11
10
00
10
00
11
11
10
01
11
10
00
11
00
10
01
01
10
01
01
11
10
00
10
11
10
00
00
10
00
11
00
10
10
10
00
10
00
00
11
00
00
10
10
11
10
00
01
00
01
11
10
10
10
00
00
00
10
00
00
00
01
00
01
11
11
01
01
01
11
11
00
01
11
01
10
01
11
10
00
11
01
11
11
00
11
10
11
01
01
10
11
00
00
00
10
11
01
00
00
00
00
10
10
01
11
10
10
11
10
00
10
10
10
00
01
00
01
10
00
11
11
10
00
11
10
10
10
10
01
00
10
00
00
01
10
10
01
11
00
10
10
10
00
00
00
10
10
01
10
00
10
11
10
00
10
10
10
01
00
10
10
00
10
00
01
00
10
10
01
00
11
11
11
10
01
10
11
00
01
00
00
11
11
10
00
00
10
10
01
00
01
10
10
00
00
10
00
00
11
00
00
00
11
01
11
10
10
10
11
11
11
00
00
10
00
11
00
00
11
10
11
00
00
10
10
00
10
00
01
00
10
00
00
10
10
00
00
01
11
10
10
00
00
00
00
11
11
11
00
01
00
00
00
10
11
00
10
10
01
10
10
10
00
00
10
10
11
00
00
00
01
11
10
01
10
10
00
11
00
11
01
00
00
00
10
11
00
00
11
00
10
10
11
00
00
00
00
00
00
11
10
11
10
00
11
00
10
10
01
01
00
10
10
01
01
10
11
10
01
00
11
10
00
00
10
10
00
11
00
11
10
10
00
00
00
00
00
10
00
10
10
10
01
11
01
01
10
00
10
10
01
11
10
00
01
11
01
00
11
10
10
10
00
01
11
10
01
00
10
00
01
00
10
10
10
01
10
11
11
01
00
00
10
11
01
00
00
10
10
01
00
10
10
00
00
10
10
00
01
11
11
00
01
00
00
01
10
00
01
11
11
10
01
00
10
00
01
00
11
11
00
00
01
10
10
10
10
00
01
00
00
10
01
00
11
01
10
00
11
00
10
00
00
10
10
01
01
10
10
10
00
00
00
00
11
11
00
10
00
10
11
11
00
00
11
00
10
01
01
00
01
10
10
11
10
10
00
00
10
11
11
11
00
00
00
10
01
01
00
00
11
00
11
00
11
00
10
00
10
00
00
11
11
11
11
10
10
10
11
11
01
10
10
10
10
01
00
00
11
11
01
00
00
11
01
01
11
00
01
10
10
10
10
10
00
10
10
01
10
00
00
11
00
00
00
11
11
10
11
10
10
11
10
00
00
10
10
10
10
00
10
10
10
10
10
00
00
00
00
00
10
00
11
10
11
01
01
00
10
10
10
00
01
10
10
11
00
10
01
10
00
00
01
01
00
10
00
11
00
01
10
10
11
10
01
01
10
10
01
00
11
10
01
01
10
11
11
10
00
00
10
10
01
00
11
01
01
00
00
01
11
10
00
00
10
00
10
10
11
00
00
00
00
10
00
11
01
11
10
01
01
01
11
10
11
00
00
11
10
11
00
00
00
11
00
00
00
10
11
01
00
01
10
00
00
10
01
10
11
01
10
00
10
11
00
11
10
00
01
00
00
10
11
00
01
00
10
00
00
10
01
11
11
00
10
00
00
00
11
10
00
00
00
11
01
10
00
00
01
10
11
01
00
01
00
10
10
00
11
00
01
10
00
10
00
10
10
01
10
10
10
01
10
00
00
00
11
10
11
01
10
01
10
10
10
11
11
10
10
00
00
01
01
00
10
00
00
01
00
10
10
00
00
11
10
01
11
10
11
10
00
00
11
10
10
01
00
10
10
00
00
01
10
10
00
10
11
00
10
00
01
10
11
10
10
00
00
10
10
00
01
10
00
00
10
10
10
00
01
11
01
01
10
10
10
01
10
01
11
11
00
00
01
10
00
00
11
10
01
00
11
01
11
00
10
01
00
01
10
11
00
11
10
11
00
00
11
10
00
00
11
10
00
10
11
11
10
00
11
10
10
00
00
01
00
10
10
00
00
00
00
10
10
10
00
10
00
00
11
10
00
10
00
10
01
10
10
00
10
00
00
10
10
00
10
00
11
10
10
11
00
01
01
00
10
00
00
00
00
10
10
11
10
10
10
10
00
11
10
01
10
10
00
00
10
10
11
00
11
01
01
00
00
00
10
10
01
10
00
10
01
00
11
00
10
01
00
00
01
00
10
10
01
01
10
10
00
10
11
00
10
10
10
00
00
00
01
10
00
00
11
11
00
00
11
00
10
11
10
00
00
00
10
00
11
01
00
01
10
00
11
00
00
00
10
10
10
11
10
00
01
10
11
10
00
00
11
11
00
00
11
01
01
10
00
00
10
00
10
10
00
00
10
00
10
11
10
01
01
00
11
10
00
11
11
00
00
10
10
10
10
00
10
00
00
11
10
10
01
00
00
11
10
01
10
01
11
11
10
00
10
10
10
00
01
10
01
00
00
10
10
01
10
01
11
01
00
11
11
11
01
00
00
00
10
11
10
00
00
00
01
00
10
00
11
10
10
01
00
11
00
11
01
10
11
00
10
10
01
00
00
10
10
01
01
11
01
00
00
10
00
00
11
11
00
00
10
10
00
01
11
10
01
01
11
00
00
11
00
01
10
10
11
00
00
00
10
10
00
10
01
00
00
01
01
10
10
10
00
10
10
00
00
01
01
11
10
10
00
00
00
00
01
00
11
11
00
00
10
10
00
00
01
11
10
10
11
10
01
11
10
00
01
00
10
10
01
01
10
01
11
01
01
01
11
11
01
10
01
00
11
01
00
10
11
00
00
00
11
01
10
10
11
00
00
01
10
10
00
01
10
11
11
01
10
11
11
00
11
01
01
00
10
11
10
00
00
10
00
00
00
11
01
01
10
10
10
00
10
01
11
11
01
10
00
00
10
11
11
01
00
01
10
00
00
00
01
11
11
10
11
11
11
10
00
01
01
10
11
10
00
10
10
10
01
10
00
01
10
10
00
01
10
00
10
11
00
10
11
11
01
01
11
11
01
11
00
11
10
00
01
10
11
00
00
11
00
00
11
10
01
01
10
10
00
10
00
10
11
00
11
11
11
11
00
01
10
00
11
00
00
11
11
00
01
10
10
00
00
10
00
10
10
00
00
10
01
10
00
01
01
10
11
01
10
10
00
01
00
00
10
10
00
00
00
11
01
01
10
00
10
11
01
11
00
01
10
11
00
00
10
10
00
01
10
11
11
00
00
11
01
11
10
00
00
00
01
10
11
00
00
00
01
10
11
10
01
00
00
00
10
10
01
10
10
11
10
11
01
00
00
11
00
10
10
00
00
10
10
01
10
10
01
00
01
00
10
11
00
00
00
10
10
11
00
11
00
00
00
11
10
00
10
11
10
10
00
00
11
11
00
10
10
00
01
10
10
00
00
00
10
11
00
11
10
10
10
00
11
11
01
11
11
00
11
00
01
11
10
00
00
10
10
01
00
11
10
01
00
00
10
01
11
11
10
00
00
00
10
10
11
10
01
10
01
00
00
10
00
00
00
01
10
00
01
00
00
11
10
00
01
10
11
01
10
10
00
00
10
01
00
11
11
11
00
10
00
00
00
00
10
10
00
10
10
00
11
00
10
10
10
11
00
10
11
01
01
10
10
10
10
10
00
00
10
11
10
10
10
00
11
10
01
10
10
10
00
11
11
01
11
00
10
01
00
01
01
10
10
00
01
11
00
10
10
01
00
01
11
11
01
10
00
10
10
00
00
11
10
00
10
10
10
11
00
00
11
00
11
10
01
00
10
00
00
10
11
11
10
11
01
00
00
10
00
10
01
01
11
10
00
01
10
10
01
11
10
00
11
11
00
11
00
10
11
01
11
11
01
10
10
10
10
01
00
10
10
00
10
10
10
10
11
00
10
00
10
10
10
10
01
10
11
01
00
00
11
00
10
10
00
10
00
11
10
00
00
01
10
00
10
01
10
00
00
10
00
00
00
01
01
11
01
10
00
01
00
01
11
11
10
01
00
01
01
10
00
00
11
00
00
11
10
00
11
10
10
11
00
00
11
00
01
11
10
11
00
00
01
11
10
00
11
10
01
10
00
10
00
00
00
00
11
10
00
00
10
11
11
10
00
10
00
11
01
10
00
01
11
00
10
10
00
11
00
00
10
10
00
00
10
10
10
00
11
00
01
00
10
00
11
10
10
10
00
11
00
10
00
00
10
11
01
10
00
00
10
10
01
01
10
10
00
11
00
00
00
01
00
11
11
10
00
01
11
01
10
11
00
01
01
00
01
11
01
00
10
11
10
01
11
10
00
00
11
00
10
10
01
10
10
00
00
00
10
11
11
00
10
00
11
11
00
10
10
10
00
00
00
01
10
11
00
00
00
11
00
00
11
00
10
01
11
00
10
00
01
10
00
10
10
11
01
00
10
00
10
11
10
00
00
00
11
10
01
11
10
10
00
01
11
00
00
11
11
11
10
01
00
10
00
01
10
00
01
10
01
00
00
10
10
11
01
00
10
00
01
00
00
10
10
00
10
00
11
10
10
00
11
00
11
01
00
11
01
10
11
10
00
00
11
10
00
11
10
00
10
11
01
10
10
01
10
10
10
00
00
01
10
11
00
11
11
10
01
01
10
10
00
01
01
00
10
10
10
01
10
10
01
00
10
00
10
10
01
00
01
10
10
11
01
11
11
11
00
10
10
00
00
00
10
10
00
11
01
00
11
01
10
10
10
00
00
10
10
10
00
01
10
00
00
10
00
11
00
00
01
00
00
11
11
11
00
11
10
11
11
00
00
10
11
01
10
01
00
10
00
11
10
10
00
01
00
10
01
10
10
01
10
11
00
00
10
10
10
10
10
01
00
00
00
01
10
11
01
01
10
10
00
11
00
00
00
10
10
11
10
00
01
11
11
10
00
10
10
00
11
00
00
10
10
01
01
10
00
01
00
01
00
10
10
00
00
10
10
10
11
10
00
10
10
11
00
00
11
10
00
00
00
01
00
10
10
00
00
01
00
10
00
01
10
10
00
01
00
00
10
10
00
11
00
00
00
10
00
00
10
11
11
00
00
11
10
10
10
00
10
10
00
00
00
10
01
10
11
11
01
01
10
00
00
11
11
00
00
11
11
00
10
10
00
10
10
11
10
00
00
10
10
10
00
00
00
00
10
10
11
01
00
10
00
11
00
11
00
10
01
11
10
00
11
00
10
10
10
01
00
00
00
11
01
00
00
11
00
00
10
00
10
00
10
10
11
01
10
10
01
01
10
00
00
00
01
00
10
11
10
01
10
00
11
00
10
01
00
00
01
10
11
01
00
01
00
00
00
11
10
10
10
10
11
00
11
00
00
11
10
11
10
00
00
00
01
11
10
00
10
10
00
10
00
00
00
10
10
00
10
10
00
00
10
00
00
00
10
10
11
00
00
10
10
10
00
10
11
11
00
00
11
10
00
00
10
10
01
00
11
11
00
01
10
10
00
10
10
00
00
01
10
10
01
10
10
10
10
00
11
10
00
01
00
01
01
11
00
11
11
00
10
10
01
00
10
10
11
11
00
00
00
00
11
00
10
10
10
10
00
00
00
11
01
00
01
10
00
00
10
11
10
00
00
01
10
00
00
11
01
10
11
10
01
10
01
01
00
11
00
00
11
00
01
10
01
11
10
00
00
00
00
00
10
10
00
10
11
10
10
00
01
00
10
01
01
11
10
10
01
10
00
00
10
11
10
11
01
00
11
10
10
00
11
10
00
00
11
10
11
01
00
01
00
11
00
00
10
01
00
10
01
10
11
11
10
00
00
00
00
01
10
00
00
11
01
10
11
11
10
10
00
11
11
00
01
10
01
01
00
00
10
00
11
10
00
00
01
11
00
11
00
10
11
01
10
10
01
01
10
10
00
01
00
00
00
10
00
01
11
10
10
10
11
00
01
10
11
00
10
00
11
11
01
10
10
00
01
11
10
11
11
10
10
10
00
00
11
10
11
00
11
11
00
10
10
10
00
00
10
00
10
10
00
00
10
10
00
10
00
00
00
00
10
11
00
11
00
11
00
10
00
01
11
11
01
00
11
00
00
00
01
10
11
11
01
01
10
01
10
10
00
00
10
10
10
00
11
10
10
00
11
10
00
10
10
00
10
10
00
11
00
00
10
01
00
10
01
01
00
01
00
10
11
00
01
00
10
00
10
10
00
10
11
11
10
00
10
00
00
00
10
11
10
01
01
10
10
10
01
01
10
10
10
00
10
10
00
01
10
01
00
10
00
01
11
10
10
00
10
10
00
10
10
00
10
00
00
01
11
11
00
10
01
00
00
10
10
00
11
10
01
01
11
10
00
10
11
10
00
01
10
11
11
10
00
10
10
01
10
10
11
00
01
00
01
10
01
10
10
10
00
11
11
00
00
10
01
00
11
00
10
10
00
10
00
10
10
10
01
11
00
00
01
10
00
00
00
11
11
10
00
10
00
01
11
11
11
00
00
11
11
10
00
00
01
01
00
10
01
00
00
00
10
10
10
10
00
00
01
00
10
00
00
00
10
11
00
00
00
11
10
00
10
10
01
00
00
01
00
10
00
10
01
00
10
00
10
00
10
10
01
11
10
00
00
11
01
00
10
11
00
00
10
00
00
10
10
00
10
10
00
11
00
01
11
10
11
00
01
11
00
00
01
00
00
10
11
00
11
10
01
10
10
11
11
00
01
11
10
10
00
00
00
00
10
10
01
10
01
01
11
10
10
01
00
01
11
11
01
00
10
00
10
10
00
00
10
01
10
00
00
00
11
11
10
10
10
10
00
00
00
11
00
00
10
10
10
00
10
10
10
01
00
10
11
00
00
10
00
10
00
11
10
11
10
10
00
10
01
10
01
01
01
11
11
00
01
11
10
00
00
10
10
11
00
10
10
01
01
10
11
00
11
11
10
10
10
11
00
00
01
00
01
10
00
11
10
01
01
10
10
10
10
11
01
01
00
00
00
10
01
11
10
01
00
11
00
01
10
10
01
10
11
00
10
10
10
01
11
11
01
01
00
10
10
00
10
10
00
00
10
00
11
10
00
11
10
10
11
01
00
10
10
11
00
00
11
11
00
11
10
00
11
11
11
00
00
10
10
01
10
01
01
10
11
00
01
00
10
11
00
01
00
00
10
10
00
00
00
10
11
10
11
10
10
00
00
00
00
01
11
10
00
10
10
10
10
00
10
11
00
01
11
11
11
11
11
00
11
10
00
00
10
11
00
00
10
00
00
00
10
00
00
10
10
10
10
10
10
10
01
01
10
10
00
10
10
00
01
10
10
10
00
00
01
10
00
11
00
01
01
11
00
00
10
00
01
10
00
01
01
00
11
10
10
10
11
00
00
10
10
01
11
11
10
10
01
11
10
00
00
01
11
00
00
01
11
10
10
10
10
00
00
10
11
10
01
00
01
00
10
10
01
10
11
10
01
10
00
00
00
00
10
00
10
01
10
01
01
10
11
01
10
10
00
11
01
11
10
01
00
00
00
01
00
10
10
01
10
00
01
10
00
11
10
00
00
01
10
01
10
00
00
10
10
01
00
10
00
11
10
00
01
10
10
01
10
10
10
01
00
11
00
00
10
11
10
11
01
00
10
10
10
10
01
01
11
11
11
00
11
01
00
10
10
01
10
00
01
11
10
00
01
10
00
00
00
00
10
10
10
10
00
00
10
11
10
00
10
10
11
10
01
10
11
10
00
10
00
11
10
00
00
10
10
00
10
11
01
01
00
00
01
11
01
11
01
00
00
10
11
00
00
10
11
10
00
01
01
00
10
00
00
10
00
00
10
00
11
01
11
10
10
01
00
10
00
10
11
10
10
00
01
10
10
10
00
11
00
00
11
01
01
11
01
00
00
00
10
10
01
10
10
10
01
00
00
00
00
10
00
10
11
01
10
00
11
10
10
10
01
00
11
00
00
00
10
11
10
10
10
00
00
00
10
11
11
11
10
00
11
10
11
10
00
00
01
01
10
11
00
00
10
01
10
11
01
00
10
11
01
10
10
00
01
01
00
00
10
10
10
10
11
00
01
10
00
10
00
10
10
11
10
01
11
10
01
10
00
00
00
10
10
00
00
10
00
00
10
10
01
11
10
11
00
10
10
01
10
01
10
10
10
10
00
00
10
10
11
00
00
00
11
00
00
11
11
00
00
00
11
10
11
00
00
11
00
11
11
01
10
10
11
01
00
11
11
00
00
00
11
01
10
10
00
00
00
10
10
01
00
00
11
00
00
01
11
11
00
00
10
10
00
10
00
00
11
11
11
00
11
10
01
11
01
10
11
01
01
00
11
00
00
10
11
10
01
00
10
11
10
10
00
01
10
10
10
11
00
10
10
00
01
10
10
00
00
00
10
10
00
10
00
00
00
01
11
10
00
10
10
01
00
11
11
01
00
01
11
00
01
11
10
10
00
00
00
10
10
00
10
11
10
01
01
00
00
00
01
00
00
10
10
00
11
10
00
00
10
10
01
00
10
01
00
00
01
10
01
10
01
10
01
00
10
10
01
01
01
11
01
10
11
00
00
10
10
00
00
11
11
10
10
10
10
00
00
00
10
00
00
00
01
00
10
00
00
10
00
10
11
00
10
00
01
11
00
01
10
10
10
11
00
01
10
10
10
11
00
11
01
00
00
10
11
00
11
10
00
11
00
01
10
10
01
00
01
10
10
00
10
00
00
10
10
10
10
01
10
00
00
11
00
01
11
10
01
10
00
00
00
11
10
10
00
00
00
00
00
11
00
10
11
10
01
00
01
11
00
10
10
00
01
10
10
01
11
01
01
10
00
10
01
10
00
00
10
00
01
10
01
00
01
10
10
01
10
11
00
00
11
10
10
01
00
10
01
01
10
01
11
11
00
10
10
01
01
11
11
00
10
00
10
11
10
00
00
10
00
10
10
00
00
01
10
01
01
10
10
00
11
11
10
01
11
10
10
01
10
10
01
00
00
00
00
10
11
10
11
10
00
00
10
11
11
00
01
00
11
10
11
11
11
00
00
11
10
10
01
00
10
10
10
10
01
11
00
11
10
10
10
10
01
00
00
10
00
00
11
11
10
10
10
01
11
10
00
10
01
10
11
00
00
00
00
01
10
10
00
10
10
01
01
10
11
11
00
10
10
00
01
00
00
10
11
00
10
11
10
00
00
10
00
11
00
11
10
00
10
00
10
10
10
01
01
10
10
10
01
10
01
00
10
01
10
00
10
10
00
11
00
10
10
10
00
10
10
11
00
10
11
00
01
10
00
00
11
00
10
00
00
10
00
00
11
01
00
10
00
10
00
00
11
00
10
11
00
01
00
10
01
10
11
00
10
00
00
10
10
00
11
10
00
10
00
00
00
10
01
00
11
10
00
00
10
00
00
00
10
01
10
01
00
10
00
00
11
11
00
01
10
00
00
10
10
01
00
11
00
01
10
01
10
11
11
00
00
10
01
10
01
10
00
10
01
00
00
11
10
11
01
00
01
00
10
00
00
10
01
10
10
01
01
01
10
00
01
00
00
01
10
11
00
00
00
10
00
10
10
00
10
00
00
11
10
10
10
01
00
10
11
10
11
01
00
01
01
00
10
00
00
10
00
00
10
10
00
10
00
11
00
10
00
00
10
10
10
11
00
00
01
00
10
10
00
00
10
10
10
00
10
11
11
10
11
00
11
00
00
00
01
11
01
00
10
11
00
00
01
00
10
10
00
00
11
11
10
11
01
01
11
10
00
00
01
01
01
00
10
10
00
01
10
10
00
10
00
00
10
11
10
00
10
00
01
10
01
00
11
01
01
11
11
10
00
11
11
10
00
01
11
10
01
10
11
10
10
10
00
11
11
00
11
11
11
10
00
00
00
10
10
00
00
00
00
11
10
10
10
10
01
00
10
11
10
00
11
00
10
10
01
00
01
10
01
10
01
00
10
10
00
01
11
00
01
10
11
01
10
00
00
10
00
00
01
10
10
10
10
01
00
01
10
10
01
10
01
00
10
10
00
11
01
01
10
00
00
10
10
10
10
00
00
00
10
11
10
00
00
00
11
01
01
10
11
00
01
10
10
00
00
10
11
01
01
00
10
00
11
11
10
10
01
01
11
00
10
00
01
00
00
10
11
00
01
11
01
01
00
00
00
10
10
01
00
11
11
00
11
00
11
01
01
10
01
10
10
00
11
00
10
10
00
10
11
00
00
10
10
00
10
00
00
00
01
11
10
11
11
00
00
01
10
10
10
01
00
00
11
11
01
00
10
10
10
00
00
00
10
00
01
10
01
00
10
00
00
11
00
10
10
01
11
10
00
00
10
10
00
11
10
00
00
00
10
00
10
10
00
00
00
11
10
00
01
01
10
10
00
00
10
10
01
10
11
11
00
00
00
11
10
01
10
10
01
10
00
00
00
11
10
10
01
01
01
00
10
10
00
00
10
00
00
10
10
10
10
00
11
10
10
10
01
00
00
10
10
00
11
00
10
10
00
10
00
00
10
10
00
00
00
10
00
10
11
10
00
00
11
10
11
10
01
10
10
10
00
11
10
00
11
01
01
11
10
01
10
10
00
10
10
01
11
01
00
10
01
10
00
00
11
11
00
10
10
11
10
00
01
00
10
10
01
00
10
11
10
00
01
11
00
10
10
01
10
10
11
01
01
10
01
11
10
01
01
11
11
00
00
11
01
00
00
10
11
10
00
00
01
00
01
10
11
00
10
00
10
00
10
11
01
10
01
01
01
11
00
10
11
00
01
00
10
10
01
11
10
11
01
10
11
00
01
10
11
00
10
00
01
10
10
10
00
11
11
10
11
00
10
00
01
11
10
10
00
00
00
01
10
10
10
00
10
10
01
00
00
01
10
10
00
10
10
11
10
01
10
00
00
00
01
10
00
01
10
10
10
00
10
01
10
10
00
00
10
11
10
01
11
01
11
10
00
11
10
01
01
10
10
11
11
01
01
00
10
01
01
10
00
00
00
11
10
10
00
00
00
10
10
01
00
00
11
10
00
11
10
11
10
00
01
00
10
10
10
00
11
10
00
10
00
00
11
10
10
10
00
00
00
10
00
10
10
11
00
11
00
10
10
10
10
00
00
10
00
01
10
00
01
11
10
11
00
10
10
01
01
11
01
00
10
11
10
01
00
11
10
00
10
11
10
00
00
01
11
00
11
00
01
11
00
11
10
10
10
01
01
00
10
10
10
11
10
01
01
11
00
01
11
00
01
11
01
10
01
00
10
00
10
00
00
11
11
10
00
10
11
11
00
00
00
10
10
10
10
00
00
10
11
10
00
10
00
01
10
00
10
00
00
11
00
10
10
11
01
11
01
10
11
00
00
10
00
00
11
00
00
10
01
10
00
01
10
00
10
11
10
01
00
01
10
10
10
10
10
01
00
11
00
00
01
00
10
11
11
00
11
10
10
00
11
10
01
00
11
10
00
11
11
10
11
11
00
01
01
11
10
01
00
00
11
10
11
00
10
01
10
10
10
10
00
00
10
01
00
00
00
01
10
00
01
10
10
00
00
10
01
11
11
00
01
00
11
00
00
00
10
10
00
00
00
10
01
01
10
00
11
11
00
10
01
11
00
00
00
10
00
01
11
10
00
00
01
00
00
01
10
00
11
00
01
00
01
00
10
10
01
00
11
10
10
10
11
00
01
01
10
10
00
01
11
10
01
10
11
10
01
00
00
01
10
00
00
10
10
01
00
00
10
10
00
10
10
00
00
00
10
00
11
00
00
11
00
00
10
10
01
00
00
11
11
10
10
00
00
10
10
00
01
01
00
10
10
00
00
01
11
10
01
00
10
10
11
00
00
00
10
10
00
00
10
00
10
11
01
11
00
01
10
11
00
01
01
11
00
00
11
10
11
00
11
11
10
11
00
11
10
10
01
10
00
01
10
11
00
00
10
00
00
00
10
11
11
00
10
10
10
00
11
00
10
00
10
00
00
10
11
11
10
10
00
11
00
01
10
00
10
10
11
00
00
01
00
10
11
10
11
01
00
10
10
00
11
10
01
00
10
10
11
01
00
00
00
11
00
01
10
11
00
00
11
00
00
10
10
00
10
11
00
00
10
10
10
00
11
10
00
10
11
00
11
01
00
00
00
00
10
01
00
01
01
10
00
10
11
11
10
00
01
10
10
10
00
01
00
11
10
10
11
10
01
00
00
00
10
10
00
10
10
10
01
01
00
01
10
11
10
11
00
11
10
00
00
10
10
00
00
11
11
10
00
10
10
11
10
00
11
10
00
10
00
00
00
10
01
11
10
10
11
10
00
10
10
11
00
01
10
00
11
00
10
01
01
11
00
01
10
10
01
01
00
00
01
10
00
01
10
00
00
10
10
00
11
00
10
00
10
01
01
11
01
11
00
00
10
11
00
00
10
10
00
10
00
00
10
10
01
11
00
00
00
00
01
10
10
10
10
01
10
11
01
00
00
10
01
00
10
11
10
10
01
01
10
01
11
10
11
00
01
01
10
10
00
10
00
00
10
00
00
00
10
11
00
10
10
01
00
00
10
00
00
10
00
11
10
00
11
00
00
00
10
01
11
00
00
10
11
10
11
10
01
11
10
11
11
10
10
00
00
00
10
11
10
10
00
10
00
10
00
10
11
10
01
10
10
01
00
00
01
11
00
10
01
00
11
00
10
11
00
10
00
11
10
10
00
10
10
10
11
11
00
10
11
00
00
11
00
01
01
10
01
00
10
00
10
10
10
10
00
11
10
11
10
00
11
00
11
10
11
00
10
10
11
00
00
10
01
00
11
00
01
11
00
10
10
00
10
00
00
00
11
10
10
01
10
00
00
00
10
10
01
11
01
10
10
00
11
01
10
00
01
10
00
10
10
00
00
00
00
00
10
10
10
10
00
00
10
00
00
11
01
10
10
11
10
11
00
01
01
00
11
10
10
00
00
10
10
01
01
11
01
00
10
10
00
10
01
00
11
01
11
11
10
10
00
10
10
11
01
01
11
10
10
00
10
11
10
00
00
11
01
11
10
01
10
01
10
01
10
10
00
11
00
00
10
11
00
00
00
00
10
00
00
10
00
11
00
01
11
10
00
10
01
01
01
11
00
11
11
10
00
00
10
10
01
00
00
00
00
10
10
00
00
10
11
00
10
00
01
01
00
01
10
10
01
10
00
01
10
10
10
10
11
11
10
10
01
00
10
10
10
00
00
10
11
00
10
10
10
10
10
10
10
00
00
00
00
00
00
10
10
00
10
10
00
10
10
10
00
00
01
01
01
01
10
10
11
11
01
10
10
00
01
11
11
00
00
10
10
10
01
11
11
00
10
10
10
00
11
01
01
00
10
00
01
00
11
10
00
00
11
10
00
10
11
00
10
10
01
01
10
10
11
01
10
11
00
10
00
00
10
10
00
01
11
11
00
00
00
00
01
00
11
11
00
01
00
11
00
10
11
01
11
10
01
00
10
10
10
00
11
11
01
10
11
11
10
00
10
11
11
01
01
10
01
11
11
00
00
01
10
01
00
10
10
00
01
11
10
00
00
11
11
00
01
00
01
10
00
10
10
00
01
00
01
00
10
00
00
11
10
10
00
11
10
10
00
00
11
00
10
10
00
01
10
01
10
00
00
10
10
10
01
00
11
00
10
10
00
11
01
10
10
11
00
10
11
01
01
10
01
11
01
11
10
11
00
00
10
10
00
00
10
10
00
01
11
01
11
00
10
01
10
00
10
10
00
10
10
00
10
10
10
00
11
10
00
00
10
00
01
11
11
00
00
10
01
10
10
00
10
10
11
11
10
00
00
10
00
00
01
10
00
00
10
00
01
00
10
00
01
00
01
00
00
00
10
01
00
10
10
00
00
11
10
10
10
10
00
01
00
00
10
00
10
00
00
10
01
11
10
00
01
10
10
00
00
11
00
00
11
00
10
10
00
00
10
00
01
11
10
01
01
10
01
01
10
01
00
10
00
11
00
11
10
00
00
11
00
00
10
10
01
01
10
11
01
10
00
10
10
01
00
11
10
10
00
11
10
00
01
11
01
00
10
10
11
10
10
01
01
11
10
01
10
10
00
00
10
01
01
10
10
00
10
00
10
10
00
11
10
00
00
00
10
00
00
10
11
11
00
01
00
10
00
01
11
00
01
01
00
10
11
00
10
10
00
10
11
01
00
00
00
10
00
11
10
01
00
01
00
11
01
11
11
01
11
10
01
10
00
00
10
10
11
10
00
00
10
00
00
01
11
00
10
00
10
01
00
10
10
00
10
00
00
10
00
10
00
10
10
11
00
10
00
11
10
01
00
00
10
10
01
00
00
11
10
10
01
01
00
10
01
11
10
10
10
00
00
00
10
00
01
10
11
00
10
01
00
11
11
11
10
10
11
00
10
11
01
01
00
00
10
10
01
01
10
10
10
11
00
00
01
11
11
11
00
00
00
10
10
00
01
00
00
10
11
01
01
00
01
00
10
00
01
00
10
01
01
11
10
10
10
11
00
00
10
01
00
00
10
11
10
01
10
10
10
00
00
10
10
00
00
10
00
10
01
10
10
00
10
01
00
00
10
01
10
00
11
10
11
10
00
01
10
10
10
10
00
00
10
10
00
00
11
11
00
10
10
10
00
01
11
00
00
11
10
11
00
10
11
00
01
10
00
00
00
10
10
11
00
01
00
00
10
01
10
01
00
10
00
10
00
11
01
01
11
01
00
10
10
00
10
10
00
01
00
11
10
00
00
11
00
11
10
10
10
00
10
00
10
00
10
10
11
00
10
10
01
11
00
10
00
00
10
11
00
11
10
00
00
10
10
00
00
10
00
10
00
11
00
10
10
10
00
01
00
11
10
00
11
00
00
11
10
00
00
10
10
00
00
11
10
11
01
11
01
10
00
01
10
00
10
10
11
00
00
00
01
01
01
00
11
01
00
01
10
10
10
11
00
00
10
00
01
00
00
10
10
01
01
00
10
00
00
00
00
10
10
01
00
01
10
11
00
11
11
01
01
11
00
11
10
00
00
00
10
10
11
01
01
01
11
00
11
11
10
00
01
10
10
01
00
00
10
10
10
10
01
11
00
01
10
11
01
10
10
10
01
00
10
10
00
01
00
00
01
01
11
01
00
00
00
00
00
01
11
10
01
00
00
00
11
10
01
10
10
01
00
00
01
11
10
01
00
11
11
00
00
00
01
11
00
00
10
11
01
11
10
00
00
00
01
11
00
00
11
10
10
01
11
10
10
11
00
11
00
01
10
11
00
01
10
10
10
01
00
11
01
10
10
10
00
01
10
00
00
10
10
11
11
11
10
01
01
00
00
00
00
11
10
10
10
10
00
01
00
11
01
00
00
00
10
10
10
01
11
00
01
00
00
10
10
11
00
00
10
11
11
01
00
01
11
01
10
00
00
11
00
00
00
10
10
00
01
10
00
11
00
10
00
00
11
10
01
00
00
10
01
00
10
11
11
10
10
10
11
10
10
00
01
00
01
01
10
00
10
10
10
10
00
01
10
11
01
00
11
10
10
10
10
00
00
10
10
10
00
10
11
10
00
10
00
11
01
00
00
01
10
00
10
11
10
11
10
01
01
10
01
11
10
01
10
00
01
10
00
01
00
10
11
10
01
10
00
00
11
11
11
01
00
00
10
00
01
10
11
00
00
00
10
10
00
00
10
00
00
00
11
11
10
11
10
10
10
00
11
00
10
00
11
11
01
11
00
10
11
10
00
10
11
00
00
00
00
01
00
10
11
10
01
00
10
11
01
01
01
01
00
00
10
11
10
01
00
10
10
11
01
00
00
11
00
10
00
00
00
10
11
00
10
10
11
00
10
00
00
11
10
00
10
01
11
11
00
01
01
00
10
10
01
10
10
00
10
11
11
01
00
00
11
10
00
10
10
00
10
10
01
10
10
10
11
10
00
10
00
00
10
11
10
10
01
10
00
11
00
10
00
00
10
01
01
00
11
00
11
01
10
10
11
10
00
00
11
00
10
11
00
00
00
10
00
11
01
00
10
10
00
00
10
10
01
00
10
10
10
01
01
01
11
01
00
00
00
00
00
10
11
01
10
10
10
10
10
10
00
11
10
00
10
01
10
00
10
10
10
00
00
00
00
10
10
10
01
00
11
10
10
00
10
00
00
10
10
11
10
00
01
00
01
10
11
10
00
10
11
10
00
00
11
00
00
11
11
10
00
00
01
01
01
11
11
10
01
10
01
00
00
11
10
00
11
00
00
11
10
11
00
10
10
10
00
00
11
10
11
01
01
10
10
10
01
01
10
11
00
11
00
01
10
10
01
01
10
10
11
10
00
01
00
10
10
00
01
11
10
01
00
10
01
00
11
00
00
10
00
00
11
10
11
11
00
11
11
10
00
10
10
00
10
10
10
11
01
10
00
10
00
11
10
00
00
00
11
00
10
10
11
10
11
00
10
00
01
11
11
10
00
00
00
10
10
11
11
00
10
00
11
00
00
10
00
11
10
01
10
01
00
10
00
01
10
11
10
01
10
01
10
10
01
00
01
11
00
00
10
00
00
10
00
00
00
10
10
10
10
01
11
01
01
00
01
10
00
00
10
01
00
10
11
00
10
00
01
10
00
11
10
10
01
01
11
01
01
10
00
00
01
00
10
10
10
00
01
00
00
10
00
00
00
10
00
11
01
10
01
10
00
00
10
10
10
10
00
01
10
10
01
10
01
10
00
00
00
00
10
00
01
00
10
00
10
00
00
11
00
10
10
10
11
00
11
00
10
11
10
11
10
00
00
00
00
10
00
00
10
01
00
01
01
11
10
01
10
00
00
11
10
00
01
10
01
10
10
10
00
01
10
01
00
10
10
01
01
00
01
00
10
10
10
11
00
00
00
10
11
10
00
00
01
10
10
11
10
00
10
10
01
00
00
00
01
11
11
10
00
00
10
00
10
00
00
11
01
01
00
01
11
11
10
00
00
10
00
00
10
10
10
00
01
10
00
00
00
10
10
00
00
01
10
01
11
01
00
00
00
01
00
01
10
10
10
00
01
00
00
11
10
11
00
10
00
10
01
01
00
11
00
00
10
10
10
00
00
01
10
10
10
10
10
00
11
10
01
10
01
01
11
00
10
00
00
01
00
10
10
01
00
01
11
11
00
00
00
00
10
10
10
00
11
10
10
00
00
11
01
10
11
00
01
00
00
00
10
10
10
00
01
00
00
10
11
10
00
01
01
00
10
00
00
00
00
10
10
10
11
11
00
00
01
00
10
10
00
10
11
00
10
10
11
01
00
11
00
01
10
00
10
11
01
00
10
10
01
11
10
00
10
11
00
00
01
10
00
01
10
10
01
00
10
01
10
01
00
10
00
00
10
01
00
11
10
10
01
10
10
10
00
01
00
00
00
01
10
10
10
10
00
00
10
00
00
11
00
00
11
10
11
11
11
11
10
10
10
10
00
00
10
00
11
10
00
10
10
00
01
10
00
01
01
00
01
01
00
00
00
11
00
01
11
10
00
11
00
11
10
00
11
11
11
00
00
01
10
11
10
10
00
00
11
11
11
00
10
01
01
10
00
00
11
10
01
00
01
11
10
10
11
01
00
10
10
10
00
10
01
10
00
10
10
00
00
10
00
10
10
00
10
10
10
11
00
00
00
11
10
10
00
00
10
01
01
01
01
10
10
10
00
00
11
10
01
00
01
10
10
11
00
10
10
01
10
10
00
01
10
10
00
00
10
11
10
00
00
10
10
10
10
01
11
00
00
11
10
01
01
00
10
11
00
01
00
00
11
10
10
00
11
11
01
01
11
10
00
01
10
10
00
11
10
01
11
00
01
00
10
00
00
10
10
00
01
00
10
00
10
00
01
10
01
10
00
00
00
01
10
00
10
01
11
00
10
10
10
00
10
01
01
10
10
00
10
10
00
10
00
00
10
10
00
10
10
01
10
00
11
10
10
00
00
01
00
10
10
00
00
00
00
11
10
00
01
11
11
11
11
10
01
10
00
00
10
10
01
01
10
11
11
00
10
00
10
10
00
10
01
10
11
01
01
10
10
00
10
10
01
00
00
11
10
10
00
00
11
00
11
10
01
01
10
00
01
00
10
00
10
11
11
00
00
10
10
00
00
01
11
10
11
10
00
10
10
01
00
10
11
01
00
10
00
10
00
11
10
10
00
00
00
11
10
01
01
10
01
00
10
10
10
10
11
00
01
00
00
00
00
01
00
00
00
11
10
00
00
11
11
00
10
01
10
10
00
10
01
00
00
00
00
00
10
00
01
00
01
10
10
01
01
01
10
10
11
01
00
01
10
10
00
00
00
10
10
01
00
10
10
01
01
11
11
00
00
00
01
11
10
00
00
10
00
00
11
01
11
10
01
01
11
00
00
00
10
10
00
00
11
10
00
11
00
01
00
10
10
00
00
10
10
00
00
10
00
00
00
10
01
01
11
11
00
00
11
10
00
00
01
10
10
11
00
11
10
11
10
00
00
10
11
01
10
00
00
10
00
01
01
10
10
00
00
11
11
00
01
01
10
11
00
01
10
01
01
01
10
10
10
10
10
00
01
10
11
00
10
10
00
01
00
10
01
01
10
01
01
11
11
00
11
00
00
00
10
10
00
11
11
00
00
00
01
11
10
10
00
10
11
10
10
01
10
10
10
10
10
10
00
00
00
11
11
01
00
10
00
11
00
01
00
11
10
00
01
11
10
01
10
10
00
00
11
00
00
11
00
10
00
10
10
01
01
01
10
00
01
10
10
00
00
11
00
00
10
11
10
00
00
11
01
00
00
01
00
10
00
00
11
10
00
11
00
11
10
11
00
00
11
00
00
10
10
00
10
10
00
10
10
00
00
10
10
11
11
00
00
00
00
10
11
01
11
10
00
00
10
11
00
01
00
00
00
10
11
00
11
10
11
00
11
01
01
01
10
00
10
10
00
11
00
00
10
10
00
01
10
00
01
10
10
11
10
11
00
00
10
00
10
11
10
00
01
01
01
01
10
10
10
00
10
10
00
00
10
10
00
00
00
10
01
00
01
11
11
00
11
10
11
10
00
00
10
10
00
00
11
10
10
01
11
10
00
01
10
01
01
01
00
10
00
10
01
10
00
00
10
11
00
00
01
01
00
01
11
11
11
00
00
00
00
11
00
01
10
00
00
11
11
00
01
10
10
00
10
00
00
10
11
00
00
10
00
11
00
10
01
00
10
10
00
11
01
11
01
00
00
00
10
10
00
00
10
10
10
10
01
10
10
11
11
00
10
00
00
01
00
11
10
10
10
10
00
01
01
10
11
00
00
10
10
10
01
10
10
10
01
00
11
10
00
01
11
11
01
00
11
00
00
10
00
10
11
00
01
10
11
10
00
01
11
11
00
00
11
01
00
01
10
11
10
00
10
10
00
00
11
10
01
10
10
01
10
11
11
01
11
10
01
00
00
10
10
00
11
11
01
01
00
00
01
10
00
00
10
10
00
11
11
00
01
00
10
10
11
10
10
00
10
10
11
11
01
10
10
00
11
10
10
00
10
11
11
11
00
10
10
00
01
00
10
10
00
00
10
10
10
00
00
11
00
00
10
01
01
10
10
00
01
10
10
10
11
00
01
11
00
01
10
10
10
11
01
11
00
00
11
10
10
10
10
00
00
00
00
10
11
10
00
10
01
10
11
11
01
00
10
10
10
01
01
00
11
10
00
00
10
11
00
01
10
10
00
10
00
00
01
10
10
00
10
00
00
00
10
11
00
11
10
01
00
01
11
10
00
00
00
11
01
10
00
01
00
01
10
00
00
10
00
11
10
01
10
00
00
01
10
11
01
11
00
11
01
00
00
01
10
11
01
10
10
01
10
01
01
10
10
10
10
10
10
00
00
01
00
01
11
00
00
01
00
11
00
00
10
10
01
00
10
10
00
10
10
11
11
00
01
10
00
00
10
00
01
11
10
10
00
11
10
01
00
10
01
00
10
00
10
11
00
00
11
10
10
10
10
00
01
10
01
10
00
01
10
00
00
11
10
11
01
11
00
00
10
10
01
11
10
01
10
10
00
11
00
10
11
00
11
01
00
10
10
01
11
10
00
01
00
00
10
11
00
00
10
01
01
00
00
00
10
11
00
00
11
10
01
10
10
00
00
11
00
10
11
10
10
00
10
10
11
00
00
10
10
10
00
10
00
00
01
11
00
01
10
11
11
00
00
10
10
00
11
00
10
10
01
10
11
10
10
01
01
11
11
10
00
01
10
11
00
00
11
11
00
01
00
00
10
00
10
00
00
11
00
10
00
00
10
00
10
00
10
01
01
10
11
00
00
00
10
10
00
00
10
11
01
01
11
01
10
11
10
01
00
11
10
00
00
10
00
00
11
10
10
00
10
00
01
00
10
10
10
10
01
11
10
11
00
01
00
00
10
00
11
10
10
01
10
00
11
10
00
00
11
00
00
11
10
11
11
10
11
01
10
00
00
00
11
00
01
00
10
10
10
00
11
11
10
00
01
00
11
10
00
00
10
10
01
11
00
11
11
00
10
00
01
11
01
01
10
10
00
00
11
10
01
10
10
00
01
10
10
10
01
00
10
00
00
00
10
11
10
00
11
00
00
10
01
00
00
01
11
10
01
00
00
01
00
11
10
00
10
10
01
10
00
10
11
00
00
01
10
00
00
11
01
00
01
10
11
00
11
10
10
00
00
00
10
10
00
01
10
10
00
01
01
10
10
10
11
00
01
10
00
00
10
00
00
10
10
00
00
10
00
00
00
10
01
00
10
11
00
10
11
10
00
10
10
00
00
00
11
11
01
00
00
00
00
00
11
10
00
11
11
10
10
01
10
11
00
01
10
10
00
00
00
10
11
10
10
01
10
00
00
01
01
00
00
00
10
11
10
11
10
10
00
10
11
00
11
10
00
10
01
10
10
00
10
10
10
11
00
10
00
01
01
11
10
00
11
10
10
00
00
10
00
10
10
10
11
01
00
10
00
01
00
10
11
10
11
01
10
01
11
00
01
00
11
11
01
11
10
11
00
01
10
00
10
10
10
11
10
00
00
01
00
00
00
10
10
00
11
00
11
00
00
10
10
01
11
11
00
11
10
01
00
10
00
10
00
00
00
11
00
11
00
10
10
00
10
00
10
10
00
01
00
01
01
00
10
00
10
11
10
00
00
10
00
00
10
00
01
00
10
11
01
11
00
00
00
11
10
00
00
11
11
10
00
10
11
10
01
00
11
00
00
10
10
00
00
10
10
00
00
01
10
00
00
00
11
10
01
00
11
10
01
11
11
10
00
00
11
00
01
10
11
10
01
10
10
10
01
01
00
11
00
10
10
00
00
11
01
01
10
10
11
10
00
00
10
01
00
01
01
01
10
10
01
11
00
00
10
11
00
00
11
00
10
01
01
10
00
00
10
10
01
10
10
01
10
00
10
11
10
01
10
00
10
00
00
10
10
00
00
11
10
00
00
11
11
00
10
00
10
00
01
11
00
11
10
00
10
10
10
00
00
10
10
00
00
11
00
10
00
11
10
11
01
10
00
00
11
10
10
00
10
00
01
10
00
00
11
10
11
10
00
10
11
01
10
10
10
00
00
00
01
10
10
11
11
00
11
10
01
10
00
10
11
00
01
10
10
01
00
00
10
01
00
00
11
10
10
10
01
01
00
11
10
00
10
10
00
01
10
11
10
01
00
00
00
00
00
10
10
00
00
00
10
10
01
10
11
00
01
10
00
11
00
11
10
01
00
01
10
10
10
10
01
01
01
00
11
00
10
11
11
00
01
10
10
00
11
10
00
01
10
01
10
00
10
11
11
00
00
10
10
00
00
10
00
01
11
10
01
10
10
00
10
10
10
10
01
00
00
00
11
11
11
10
01
10
11
11
01
01
11
10
00
01
10
10
01
10
10
11
00
00
00
10
10
01
10
00
00
10
00
01
10
11
00
10
11
00
00
11
01
00
10
10
00
01
00
00
01
00
11
11
10
10
00
00
11
00
00
00
01
00
10
10
00
00
00
10
00
01
01
01
11
10
11
00
11
10
00
00
11
11
01
00
11
10
00
00
11
10
00
00
00
10
00
00
11
00
01
00
10
01
00
01
00
01
11
10
01
00
00
10
00
01
10
01
11
01
00
00
11
00
10
11
00
00
00
11
11
00
11
10
10
10
11
00
00
10
11
00
01
11
01
00
10
01
10
00
00
10
11
10
10
10
10
00
10
01
01
00
00
10
11
00
10
00
00
10
10
10
11
10
10
10
10
10
01
00
11
11
00
11
10
11
01
00
00
01
10
10
10
11
00
10
10
00
00
10
01
00
11
00
10
01
00
00
00
00
11
11
10
00
10
10
00
11
00
11
10
10
01
10
00
01
01
11
11
10
11
00
00
00
00
11
11
00
11
00
11
10
10
01
00
10
10
10
00
10
00
10
01
01
10
00
00
00
01
11
00
01
01
00
01
10
11
01
01
11
11
01
00
00
10
01
00
10
00
00
00
00
11
00
10
00
00
11
00
10
00
00
10
00
00
11
00
01
11
00
00
00
00
00
01
10
00
10
01
10
01
10
00
10
00
01
11
11
00
00
01
10
11
11
10
01
00
10
00
10
10
01
00
10
00
01
01
00
10
10
11
01
00
10
11
01
01
10
00
00
10
00
01
00
10
10
00
11
00
01
10
11
11
00
01
00
01
10
10
00
00
10
10
00
10
11
00
10
00
00
00
10
11
00
01
00
10
00
00
11
10
11
00
00
11
01
11
11
00
00
10
00
01
11
10
01
00
10
10
00
00
00
01
10
10
00
11
00
01
01
10
00
10
00
01
10
11
00
01
00
01
11
10
10
00
00
11
00
00
10
00
00
10
01
11
11
11
00
10
11
11
10
01
01
10
10
00
00
10
00
01
00
00
00
10
01
10
00
00
10
10
00
10
10
10
01
10
11
10
00
10
10
01
11
11
10
10
00
01
11
10
11
00
01
01
00
01
00
10
10
10
01
11
11
00
00
10
11
00
00
00
10
11
01
11
00
00
11
00
01
10
10
01
10
00
11
10
00
00
10
10
00
00
11
11
10
00
11
01
10
00
00
01
10
10
00
10
01
11
00
00
00
01
00
10
10
10
00
11
00
00
00
00
00
10
10
10
01
00
00
00
00
10
01
01
00
00
00
00
00
10
10
00
01
00
01
00
11
10
00
10
10
11
10
00
10
01
10
00
01
01
01
00
01
10
00
00
10
00
01
01
10
11
10
00
11
00
01
00
00
11
01
10
10
00
01
00
01
10
11
01
00
01
10
10
10
00
01
10
01
01
11
00
00
10
10
00
00
10
11
11
10
01
10
11
10
00
00
00
10
00
00
00
10
10
00
00
00
00
11
01
10
00
00
10
10
10
01
11
01
10
00
11
10
00
11
10
00
00
00
00
00
10
10
10
00
00
01
11
01
00
10
00
00
10
10
01
11
00
10
10
10
10
00
01
01
10
00
10
01
10
10
11
01
01
10
10
00
10
10
10
10
10
10
01
00
00
10
10
10
00
11
11
11
00
00
01
00
00
10
10
00
10
00
00
00
10
10
00
10
11
00
00
00
10
01
10
01
10
11
11
01
00
10
11
00
10
11
10
00
10
11
01
01
01
00
10
01
00
11
10
00
00
10
11
10
11
00
00
10
10
00
11
00
00
01
00
00
10
10
10
11
10
10
11
11
00
00
00
00
01
11
00
00
11
11
00
00
01
10
00
10
00
00
11
10
10
00
00
10
01
00
01
10
10
00
10
11
00
11
10
00
11
00
00
01
10
01
01
10
11
10
10
10
00
00
01
10
10
10
00
10
00
10
10
00
10
01
11
00
00
00
00
11
10
00
10
01
10
00
01
10
10
01
00
10
00
00
00
00
01
10
01
01
11
10
10
11
10
10
00
00
10
10
01
10
00
10
11
00
00
00
10
00
01
01
01
10
10
00
00
00
01
00
10
10
10
00
10
11
00
01
11
00
11
00
11
01
10
10
01
00
10
01
00
00
10
01
01
00
10
01
00
01
10
10
01
00
10
01
00
10
01
00
10
10
10
01
10
11
01
00
10
11
00
11
01
00
00
10
00
11
00
00
10
10
10
10
00
10
10
00
10
10
01
00
00
01
00
10
10
01
00
00
10
00
01
00
10
00
10
11
01
10
10
11
00
01
01
10
10
01
01
00
00
10
01
01
10
00
01
10
01
10
10
00
01
10
01
00
10
10
00
10
00
00
10
00
00
11
10
11
01
10
11
00
11
10
10
00
11
10
11
01
00
00
10
01
00
00
10
01
00
01
01
10
11
10
10
01
00
10
10
00
00
00
00
00
00
10
01
10
00
01
01
11
00
00
10
10
10
00
10
11
00
01
11
10
00
00
10
00
01
10
01
10
00
01
11
00
10
10
00
00
10
00
01
00
10
10
00
01
00
10
10
00
10
10
11
10
01
00
00
10
00
00
00
00
11
10
11
01
11
10
00
10
00
00
10
01
00
10
10
11
01
10
11
00
01
00
10
00
01
11
10
01
00
01
01
00
00
10
10
00
10
10
10
10
11
11
01
10
00
01
11
10
01
01
11
10
10
10
00
00
00
10
00
00
00
10
01
00
10
10
01
11
10
01
00
10
00
10
10
00
01
11
11
10
11
10
10
00
00
00
10
01
10
00
10
00
10
00
00
10
10
00
00
00
10
00
01
01
01
00
00
10
00
10
01
00
10
10
01
01
11
10
00
00
10
10
10
01
01
10
11
11
01
00
00
01
10
00
10
10
00
01
01
11
10
00
10
10
00
11
10
00
00
01
00
11
11
00
01
10
00
01
00
00
00
10
11
01
00
01
10
01
10
10
10
11
00
01
11
01
00
10
00
10
01
00
11
11
10
11
10
10
00
01
00
11
10
00
00
11
01
10
01
01
00
00
10
01
00
00
01
11
01
11
11
01
11
11
00
00
10
00
00
00
10
10
10
10
10
00
11
00
01
10
10
00
00
10
10
00
00
11
10
00
11
11
00
01
00
10
00
10
00
11
10
00
10
11
01
10
10
10
01
10
11
10
01
00
01
10
00
10
00
10
11
11
10
00
00
00
11
00
11
11
00
10
01
01
11
00
00
10
10
10
11
00
01
00
11
00
00
11
10
00
00
10
11
01
10
10
01
00
01
01
10
00
10
10
01
10
10
10
00
01
10
10
10
10
00
00
10
00
01
10
10
00
11
10
11
00
10
00
00
10
00
10
01
01
10
00
10
10
00
00
10
10
01
01
10
11
01
00
00
01
10
00
00
01
10
01
11
10
01
00
00
10
00
11
11
00
00
10
00
11
01
00
01
10
01
10
10
10
01
10
11
10
00
00
10
01
01
00
10
01
00
10
11
11
01
11
10
00
11
11
11
11
00
00
01
00
10
00
01
10
10
01
10
00
01
00
11
00
10
11
10
01
10
10
00
10
11
11
10
10
10
01
10
00
00
00
11
00
11
11
00
00
00
11
10
00
00
01
00
00
00
00
11
10
11
11
00
00
11
01
10
10
00
00
11
10
10
01
00
10
11
11
10
11
10
01
00
10
00
01
01
11
10
00
00
10
00
10
10
00
00
10
01
00
01
01
00
11
10
00
10
00
00
10
11
10
10
00
10
01
11
01
01
10
10
10
10
00
01
10
10
00
10
00
01
10
11
00
11
11
00
00
11
10
00
01
00
01
00
10
10
10
00
01
00
10
10
01
10
00
00
01
00
11
00
10
11
00
01
00
10
11
10
00
10
00
00
00
01
11
00
10
10
00
11
11
00
10
11
00
10
01
00
10
00
01
10
00
10
10
00
10
10
00
01
11
10
00
10
10
10
10
00
11
10
11
01
10
10
00
10
10
00
11
10
10
01
10
10
01
01
00
10
01
00
10
00
10
11
00
10
10
10
00
01
01
00
11
10
00
11
00
11
10
00
10
01
01
01
01
10
10
01
11
10
11
00
00
11
00
00
10
10
00
00
11
10
11
01
00
10
10
01
01
11
11
10
01
00
11
01
01
10
11
01
00
11
00
01
11
00
00
00
10
11
00
00
10
00
01
10
01
10
00
01
00
10
10
11
01
00
11
10
10
01
00
11
00
00
01
10
00
00
10
10
00
01
10
00
00
10
10
10
10
00
10
10
00
00
11
00
10
01
10
00
00
10
10
10
10
00
00
10
10
00
10
00
00
01
00
00
11
10
10
10
10
01
00
00
10
10
00
10
10
00
00
10
10
11
00
11
10
00
10
00
01
00
01
10
10
00
10
11
00
10
10
11
11
11
10
10
00
00
11
00
00
10
00
11
11
10
10
00
10
00
11
10
00
01
01
01
10
11
00
01
01
10
00
00
01
11
10
00
10
10
01
00
01
10
00
00
11
00
11
10
10
01
10
01
00
00
10
10
00
00
10
10
10
00
01
10
00
10
11
10
10
01
01
10
10
00
10
00
00
10
11
10
01
10
10
10
10
10
00
00
10
00
10
10
00
00
10
10
00
11
01
10
11
10
01
10
01
00
10
00
01
00
10
00
00
00
10
11
10
11
00
11
11
01
11
00
00
10
01
00
00
10
10
11
00
10
01
01
10
10
00
00
11
11
00
00
11
00
00
01
00
00
01
11
11
11
00
00
10
10
10
10
00
00
01
00
10
10
10
00
10
00
00
00
00
10
11
11
00
01
01
11
10
10
10
01
10
11
00
01
10
00
10
00
10
10
00
01
01
01
00
10
01
10
01
00
11
10
01
10
11
11
01
10
10
10
00
00
00
10
10
00
00
00
10
10
01
01
10
00
01
01
10
11
11
00
00
01
10
10
10
10
01
10
00
00
11
01
10
10
11
01
01
00
00
10
10
01
10
00
00
01
00
11
01
10
10
11
10
00
11
10
11
01
00
11
10
10
10
10
00
00
01
10
10
10
00
00
11
10
10
00
11
00
00
10
11
11
10
00
00
10
10
00
10
00
11
00
10
10
10
11
10
01
00
10
10
10
11
00
10
10
01
11
11
10
01
11
10
00
10
10
01
10
01
01
00
01
10
11
10
01
10
10
10
00
01
00
10
10
10
10
10
00
00
00
10
00
11
10
00
10
10
10
00
00
11
10
00
10
11
11
00
10
10
00
11
11
00
00
11
10
01
10
11
10
10
11
11
00
00
10
11
00
01
10
11
11
10
00
00
00
01
10
11
01
00
10
10
01
00
01
10
10
10
10
11
00
10
10
00
10
00
10
01
10
11
01
10
00
00
10
01
11
10
10
01
01
00
00
10
00
00
11
00
10
11
00
10
10
11
00
11
00
00
10
10
01
00
11
11
10
10
10
01
01
10
00
11
00
11
10
00
00
11
01
10
11
00
10
01
10
10
10
01
01
10
01
00
00
00
10
01
11
00
00
00
10
10
01
00
10
00
00
10
11
10
00
00
10
00
00
00
10
10
10
10
10
10
00
10
01
01
01
11
00
00
10
00
11
10
10
01
10
10
00
00
10
10
00
00
01
10
00
01
00
01
11
11
01
00
10
01
10
00
01
10
10
00
11
10
00
11
10
01
10
11
00
10
10
00
00
10
10
11
10
00
10
10
10
00
00
00
00
00
10
10
11
10
10
00
10
00
10
10
01
00
11
11
10
10
01
10
10
01
10
10
00
00
00
00
00
11
11
10
01
10
00
01
10
00
11
10
01
00
10
11
00
00
01
00
10
10
01
10
00
11
10
00
10
00
11
00
00
00
11
11
11
11
00
10
00
00
10
10
00
10
10
01
00
11
10
11
11
10
10
00
00
10
11
01
10
11
10
01
11
00
01
00
01
10
11
00
01
01
11
00
11
00
00
00
01
10
10
00
11
00
00
00
00
00
10
11
00
10
00
01
10
10
01
00
10
01
11
00
00
11
11
01
01
10
10
10
00
00
11
00
00
00
10
00
01
01
11
00
01
10
00
10
10
00
00
11
10
11
11
10
00
00
00
01
10
10
00
11
00
00
11
10
00
11
00
00
01
00
11
00
00
10
10
00
10
01
00
11
00
01
00
10
00
00
10
10
10
10
00
01
00
00
10
11
00
10
00
10
10
11
00
00
10
11
11
11
00
01
11
01
00
10
10
01
00
10
01
10
00
01
01
11
10
00
11
11
11
11
10
00
00
01
10
11
00
11
01
10
10
00
10
10
11
01
01
10
10
01
00
10
10
10
00
01
11
10
00
01
00
00
10
00
01
10
11
00
10
00
01
01
00
00
11
11
00
10
11
01
11
01
11
10
00
00
10
11
00
01
00
10
11
01
01
01
11
01
10
00
00
00
10
11
00
00
01
10
00
10
01
00
10
10
11
00
10
10
11
01
10
10
00
00
00
10
00
01
10
11
11
10
10
00
00
10
10
11
01
00
10
10
00
00
11
10
00
00
01
10
10
00
00
10
11
10
01
10
01
10
11
00
01
11
11
00
00
11
10
10
10
01
00
10
11
01
10
11
00
11
10
00
00
00
11
11
11
11
10
11
01
00
10
00
00
10
00
01
10
10
00
01
11
10
00
00
01
10
10
00
10
11
10
00
01
11
10
10
10
10
01
10
10
10
00
10
00
10
00
10
10
00
10
10
00
10
00
11
01
11
01
10
00
10
11
10
00
01
00
10
11
10
01
11
10
00
10
10
10
00
10
10
10
01
01
10
00
01
00
10
10
00
01
11
10
00
10
11
00
10
10
00
10
00
10
10
00
00
00
00
00
00
10
01
01
00
10
10
00
10
10
10
00
11
01
00
01
00
10
00
00
10
10
00
00
01
10
10
00
00
11
10
00
11
00
10
00
01
11
01
10
01
00
00
01
10
11
11
00
00
00
00
00
10
11
10
01
00
10
10
01
11
00
01
10
10
00
01
10
01
00
11
10
00
10
00
00
10
11
11
10
00
00
00
00
11
01
10
10
00
10
11
01
01
00
00
10
10
00
10
10
01
10
00
00
01
10
10
00
01
00
11
10
11
11
00
00
10
01
01
00
11
10
00
10
00
00
11
00
00
10
01
10
10
10
11
00
00
10
10
10
10
00
01
10
00
01
00
11
00
01
11
10
01
00
00
10
10
01
11
11
00
10
10
10
00
10
10
01
11
01
01
01
00
10
10
00
00
10
10
01
00
10
11
00
11
11
10
00
11
11
10
10
11
10
00
00
00
00
10
10
10
00
01
10
11
00
10
01
01
10
11
01
10
00
01
10
10
10
00
00
10
00
00
10
00
10
10
10
00
00
01
01
11
11
00
00
10
00
10
11
01
00
11
10
01
10
01
11
11
00
00
00
10
11
01
10
10
01
01
10
10
11
10
11
01
11
00
01
11
00
01
10
00
11
01
01
10
11
10
01
11
00
10
10
11
11
10
00
10
00
00
11
00
01
11
11
00
11
00
00
10
11
00
01
10
00
00
10
10
00
10
10
00
01
11
10
10
10
00
01
01
00
11
10
00
10
00
10
01
00
00
10
10
00
00
10
10
11
00
10
00
11
10
00
10
10
10
00
10
10
01
10
00
00
00
00
01
01
00
11
10
11
10
10
00
10
01
10
00
00
10
00
10
01
10
00
11
01
00
10
10
00
11
10
00
01
10
11
00
00
11
10
10
00
00
11
01
10
01
01
01
00
11
11
10
00
11
10
00
00
11
10
11
10
00
00
01
10
10
00
10
00
10
00
01
00
11
00
10
10
10
00
00
00
10
10
01
00
00
10
00
00
00
00
10
00
11
01
00
11
00
00
11
00
10
10
00
11
11
01
01
01
00
01
01
00
11
11
11
00
01
10
01
10
10
00
01
10
11
11
10
10
11
11
10
10
01
11
10
11
01
00
10
00
10
01
00
11
10
00
11
11
00
00
01
10
00
01
00
01
10
11
00
01
10
10
00
10
01
11
10
11
00
10
10
00
00
01
00
10
10
10
11
01
11
10
00
00
11
00
00
10
10
00
01
00
01
10
01
11
00
01
10
10
10
00
01
11
10
00
01
01
00
00
10
00
00
10
10
00
00
10
00
11
10
10
10
10
00
11
10
01
11
00
10
00
11
00
00
10
10
11
10
00
00
11
10
11
11
01
10
11
10
00
00
10
10
00
00
11
00
10
00
00
10
10
00
10
00
01
10
11
00
11
00
00
00
01
01
10
00
11
01
00
01
00
11
11
11
10
01
10
10
10
01
01
10
01
00
01
00
00
11
01
10
10
11
00
01
00
10
11
10
00
00
11
00
00
10
11
00
11
11
10
10
10
10
00
10
10
00
10
00
00
01
10
10
00
01
00
01
00
10
11
01
01
00
10
10
01
00
10
10
01
10
10
00
11
10
10
00
01
10
00
00
11
10
11
00
10
10
10
10
10
00
01
11
10
00
01
11
11
00
00
10
11
10
01
00
10
11
10
11
11
10
01
01
10
00
10
10
11
10
00
00
11
10
00
10
10
00
11
10
01
11
10
10
00
00
10
11
10
00
00
00
00
10
11
10
00
10
10
01
01
11
10
01
11
10
00
00
00
10
10
00
10
11
00
00
10
11
00
11
10
11
10
00
00
01
00
00
11
10
10
10
11
01
11
10
00
10
10
00
00
10
10
10
00
00
11
10
00
00
01
01
00
10
10
01
10
00
01
10
00
01
10
00
10
01
11
00
01
10
00
01
00
10
00
11
11
10
00
00
00
00
01
00
00
01
11
11
10
00
00
11
10
10
10
00
10
10
10
01
00
11
10
10
00
10
00
11
00
00
10
00
00
00
01
10
00
01
10
00
10
10
10
00
00
10
10
00
00
00
10
00
01
11
10
01
10
00
10
00
10
10
00
00
10
00
10
01
11
01
11
01
00
11
10
00
11
10
10
00
01
10
11
11
00
00
10
10
00
01
11
11
00
00
10
00
10
10
01
01
01
00
11
11
10
00
10
00
00
00
10
10
01
00
10
11
00
01
00
10
11
01
10
11
10
00
11
10
01
01
10
01
01
00
10
11
01
11
10
00
00
01
01
10
10
00
00
10
10
00
10
10
00
00
00
00
10
00
00
00
00
01
01
10
10
01
00
01
01
00
01
01
00
10
01
10
10
10
00
10
11
00
00
01
10
00
00
10
10
00
01
10
00
00
00
11
01
00
10
11
00
10
10
00
10
10
01
01
00
00
01
00
10
10
10
10
10
10
11
01
10
00
00
01
01
01
10
00
10
00
00
11
10
00
01
00
10
00
10
11
00
10
00
10
01
00
00
01
10
10
10
00
10
11
10
00
01
10
11
10
01
10
10
10
00
01
11
01
01
10
00
00
00
00
11
10
00
11
01
10
00
11
01
00
00
10
01
11
11
01
01
01
11
10
11
00
00
00
01
10
11
01
10
10
00
10
00
00
10
00
11
11
00
00
00
00
10
10
00
11
00
00
01
10
00
10
00
00
11
00
10
00
00
01
01
10
00
00
00
10
01
10
01
11
11
00
10
10
01
10
11
10
00
00
00
11
10
00
01
00
11
00
01
00
00
00
10
11
01
11
11
11
10
00
00
10
11
00
01
11
11
01
00
01
00
10
00
00
10
10
00
01
00
10
11
00
10
00
10
00
01
11
01
01
00
11
00
01
00
00
00
10
00
00
01
10
11
01
01
10
01
00
11
10
10
00
00
11
11
10
01
00
10
10
01
00
00
00
10
00
00
10
10
01
10
11
10
10
10
00
01
10
11
00
10
10
00
00
10
00
00
00
10
00
10
11
00
00
10
10
00
10
01
00
00
10
01
01
10
11
10
00
00
10
00
00
01
11
10
10
10
01
00
01
11
11
00
10
10
01
01
10
10
01
00
01
01
00
11
10
10
10
11
00
00
10
00
10
10
00
10
10
11
10
10
11
00
11
01
00
10
01
00
00
10
11
01
00
01
10
11
00
00
00
00
10
10
10
01
00
11
00
00
01
10
10
00
00
10
11
00
00
11
00
01
11
11
10
11
00
00
01
10
10
10
01
01
00
00
10
10
10
00
01
11
11
00
00
10
10
00
01
11
11
01
00
01
00
01
00
11
11
10
01
00
11
10
00
00
00
00
11
10
00
00
11
11
10
11
00
10
11
00
00
00
11
11
11
10
00
11
10
00
00
11
00
01
00
01
10
10
11
00
00
00
00
10
01
10
11
00
00
00
01
10
01
00
11
10
01
00
00
00
10
01
00
11
10
11
00
11
00
01
00
10
10
00
10
10
10
01
10
10
11
00
00
00
10
11
11
11
10
00
00
11
00
01
10
00
10
10
01
00
01
10
00
00
10
00
10
10
01
00
10
01
00
00
00
00
00
00
10
10
10
00
00
11
10
11
10
00
10
11
10
11
00
01
00
01
10
00
01
10
01
11
11
00
10
10
00
11
11
00
10
10
00
01
11
10
00
00
01
01
10
00
10
10
10
00
11
00
00
00
10
01
00
11
10
10
00
10
00
11
00
01
10
00
10
10
10
10
00
00
10
10
00
00
11
01
00
00
10
10
00
01
10
00
00
10
00
11
01
00
10
10
00
01
00
11
00
00
10
10
10
00
10
10
11
00
00
10
10
00
11
10
00
00
00
00
01
00
10
10
01
00
10
10
00
00
10
10
01
10
01
10
10
11
00
10
10
00
00
00
10
10
10
11
00
00
01
10
00
10
10
00
10
00
10
11
01
10
01
11
10
01
00
11
00
01
10
11
10
01
00
10
00
01
11
11
10
10
10
00
01
01
10
10
00
01
01
11
00
01
10
10
01
01
11
10
10
01
00
11
10
00
10
11
10
10
00
01
10
10
11
01
01
10
10
10
00
01
00
10
11
01
00
10
00
00
10
10
00
00
11
00
01
11
11
01
00
10
10
10
10
00
00
11
01
00
10
10
00
00
01
00
00
11
00
11
01
00
10
00
11
11
10
10
00
01
11
00
01
00
10
01
11
11
00
10
10
10
00
10
11
01
00
11
01
10
01
00
00
10
10
01
00
00
10
10
01
10
10
01
10
10
00
11
11
00
01
10
00
10
10
10
10
00
01
01
11
01
10
01
00
10
00
10
10
01
11
11
11
00
00
10
01
01
01
10
10
10
00
10
00
00
00
00
10
00
00
01
00
11
10
01
11
00
01
10
00
11
00
00
00
01
01
00
10
10
10
00
00
00
10
10
01
11
01
00
11
11
10
00
01
01
00
00
10
00
00
00
10
10
01
10
01
00
11
10
00
10
00
10
10
00
10
10
01
10
10
01
10
10
10
11
10
10
10
00
10
10
10
01
00
10
00
00
01
11
10
10
00
10
10
10
00
01
01
10
00
01
00
00
01
00
01
00
11
10
10
00
01
10
10
10
00
01
11
00
11
00
10
01
10
11
11
00
10
00
00
10
00
00
01
11
10
10
01
10
00
00
10
00
10
10
11
11
00
00
11
00
10
01
01
00
10
10
10
00
00
00
10
01
01
11
11
10
10
10
00
11
00
10
10
00
00
01
00
10
00
00
01
00
00
10
01
11
01
11
11
10
00
11
10
01
01
10
10
10
00
10
10
00
00
00
11
00
00
10
00
10
00
00
11
10
01
00
00
00
11
10
00
01
01
10
10
01
11
10
10
01
01
10
11
00
01
01
10
10
01
11
00
10
00
01
00
11
10
10
10
01
11
00
00
10
10
00
00
00
00
10
00
00
11
11
01
00
01
01
10
10
01
10
10
01
00
01
01
10
00
01
00
11
11
00
01
00
00
01
00
11
00
00
10
00
00
11
01
10
10
10
11
11
10
01
00
10
11
10
11
11
00
00
10
10
00
10
10
00
10
10
10
00
10
01
00
01
00
10
10
01
10
10
00
01
10
11
01
10
00
00
01
10
11
01
11
11
00
10
01
11
01
11
10
00
10
10
01
01
10
01
00
11
01
10
00
00
11
00
11
11
11
11
10
10
00
10
10
11
00
00
11
10
10
01
01
01
11
01
00
10
00
11
10
10
10
00
10
10
11
00
00
00
10
00
00
10
10
10
11
10
01
00
11
11
00
10
00
01
10
10
00
01
10
00
01
11
11
10
01
11
00
00
11
10
01
01
10
00
00
10
00
00
10
10
10
10
01
00
10
10
00
10
11
00
11
00
01
00
00
01
11
10
00
01
10
10
00
00
11
00
10
10
01
00
01
00
11
00
00
00
11
00
11
10
00
10
01
11
10
11
01
01
01
00
11
01
10
10
00
11
00
00
10
11
01
00
10
11
10
10
11
11
00
00
10
10
01
00
00
01
10
00
11
10
10
00
00
10
10
11
01
00
11
10
00
00
10
10
10
01
00
10
00
01
00
10
00
00
10
00
01
10
11
00
01
11
10
10
01
10
11
10
00
00
11
11
01
10
10
00
11
00
00
01
11
10
00
10
11
10
01
01
11
10
11
10
01
00
00
10
00
00
10
00
10
10
11
00
10
00
10
10
10
11
01
00
10
01
11
10
00
01
00
11
00
10
00
00
11
10
01
00
10
10
10
00
01
10
10
10
10
01
10
11
00
10
10
00
00
10
00
00
10
11
00
00
10
10
10
01
00
01
01
10
00
00
01
10
10
00
11
11
10
11
01
01
11
10
00
10
01
00
00
00
11
00
00
00
01
10
00
01
11
00
10
10
00
10
11
10
11
00
11
10
10
00
10
00
10
11
00
10
11
00
00
10
00
00
00
10
10
11
10
00
11
10
00
11
00
00
00
00
11
10
00
00
10
11
10
10
10
11
00
10
00
01
01
11
10
01
10
10
00
11
01
10
10
00
00
11
00
00
11
11
11
01
00
01
10
10
10
10
00
00
00
11
00
01
10
11
10
01
01
00
00
10
00
00
11
11
11
10
00
01
10
10
10
11
01
10
11
01
10
11
00
10
11
11
01
00
10
01
10
01
10
10
00
10
10
10
10
00
10
11
00
01
01
11
00
01
10
10
10
10
00
11
11
11
00
00
00
11
10
01
00
10
11
11
00
10
01
00
11
11
00
01
10
00
00
10
11
11
01
00
10
00
01
10
01
01
00
11
11
10
10
00
01
01
11
10
00
10
11
10
01
01
11
01
10
10
11
11
01
01
10
01
00
10
00
00
10
10
11
00
10
10
00
00
10
01
10
11
00
01
00
10
10
00
00
00
10
11
00
00
10
10
11
10
10
01
00
10
00
00
11
11
00
10
01
00
10
10
11
00
11
10
10
00
10
00
11
00
01
10
00
10
00
01
01
10
11
01
10
00
00
10
00
10
10
00
00
10
01
10
10
10
00
00
01
10
00
01
00
10
00
11
11
01
01
00
00
10
00
10
10
00
00
10
10
01
00
11
00
00
00
11
10
11
10
11
10
00
11
10
01
00
10
00
10
10
10
10
01
11
00
01
01
00
11
00
10
11
01
01
01
01
10
10
01
01
00
10
10
10
01
00
10
00
01
10
00
10
00
10
00
11
10
10
10
10
00
00
00
10
01
01
11
00
10
10
10
11
10
01
10
10
10
11
00
00
01
10
10
01
00
00
10
11
01
00
01
00
01
00
10
10
00
00
10
10
00
00
10
11
11
00
00
01
11
10
00
11
00
10
01
00
10
11
10
00
10
11
10
10
00
11
01
10
00
00
10
10
01
10
00
00
11
11
11
01
10
11
01
11
10
11
01
01
11
10
00
10
10
10
10
00
10
00
10
01
00
01
01
00
01
01
10
00
00
10
10
10
10
00
00
00
10
01
00
00
10
10
01
10
00
00
00
11
10
10
10
11
00
00
00
00
00
10
10
00
01
11
10
00
10
00
01
10
11
00
00
10
10
00
11
00
00
00
10
01
11
10
00
10
00
01
01
10
10
00
10
10
10
00
01
10
11
01
00
00
00
00
10
00
11
11
01
10
01
00
10
01
10
00
00
01
10
11
00
00
11
10
11
00
00
11
00
01
10
00
10
10
10
10
00
00
00
00
10
01
11
01
00
01
11
00
00
10
00
01
00
10
10
10
00
10
10
11
10
00
01
11
10
01
10
11
10
10
00
00
01
00
10
01
11
11
10
11
01
10
00
00
11
11
10
01
01
11
10
01
10
01
00
10
10
01
00
00
10
11
01
00
10
10
11
00
01
00
01
10
10
01
10
00
00
11
10
11
01
10
00
00
00
11
01
11
11
00
00
00
00
01
10
10
11
00
00
11
01
10
11
10
00
00
10
00
00
01
10
11
00
00
00
10
11
11
11
01
00
10
00
10
00
01
00
01
10
10
10
00
10
10
00
11
00
00
11
10
00
11
10
00
00
00
01
10
11
10
10
00
01
00
00
10
00
11
00
00
10
00
00
01
10
11
10
00
10
00
01
00
00
10
00
00
00
01
11
11
00
00
10
00
10
10
00
00
10
10
00
00
10
10
00
10
00
10
10
00
11
10
11
00
10
11
10
00
11
11
01
00
10
11
10
10
01
00
01
10
10
10
11
00
00
11
11
01
00
01
10
00
00
10
10
01
10
00
00
10
10
01
10
10
00
01
01
01
10
11
01
10
10
00
10
01
00
10
00
11
10
10
10
01
10
10
10
10
01
11
01
01
10
10
00
00
10
00
00
11
10
00
01
01
10
10
10
00
10
01
10
00
00
00
11
10
00
10
10
00
00
00
11
00
00
10
01
10
00
11
00
01
10
00
00
00
11
11
10
00
00
11
00
11
00
00
11
10
10
00
11
10
00
00
10
00
01
00
00
00
10
11
00
00
10
10
01
00
10
10
11
00
00
11
01
10
00
10
01
00
11
10
10
11
10
01
10
11
00
01
10
10
10
10
10
01
10
00
10
00
11
10
11
01
00
00
00
10
10
10
01
00
11
10
01
00
10
11
10
00
10
00
00
10
00
01
10
11
00
00
10
00
01
10
10
00
10
01
01
10
11
10
00
00
00
10
10
11
00
11
10
10
11
01
11
01
01
10
11
01
00
10
10
01
10
00
01
11
10
00
01
10
01
11
00
00
10
00
01
10
11
10
01
10
00
00
11
00
00
10
10
01
00
11
10
11
01
01
10
01
00
00
00
01
10
10
00
00
01
10
10
10
00
10
00
00
11
01
10
01
01
11
10
10
11
11
10
00
00
10
00
00
11
00
00
01
01
11
11
00
10
10
00
00
01
10
10
00
10
11
10
10
11
00
01
00
00
00
01
00
01
00
00
11
11
11
01
01
10
11
01
00
10
11
01
10
01
00
10
01
00
01
00
11
10
10
10
10
10
10
10
00
10
10
00
01
00
11
10
10
11
10
10
01
11
11
00
10
11
11
00
01
10
11
00
01
01
11
10
00
00
00
00
11
01
00
01
10
00
01
10
11
11
11
11
01
01
11
00
00
10
11
00
00
10
10
11
01
00
01
00
11
11
01
11
11
11
01
00
11
10
10
01
10
00
11
10
01
01
11
00
00
11
10
00
00
11
10
01
01
00
10
11
10
10
00
00
00
10
00
10
00
00
10
01
00
10
10
00
10
10
10
10
00
10
10
00
10
00
00
10
10
00
01
10
00
11
10
00
00
10
01
10
00
10
10
00
00
11
00
11
00
10
11
01
11
11
00
00
10
10
00
10
11
10
10
01
00
11
11
00
00
10
01
00
00
10
00
10
01
00
10
00
10
11
01
01
10
10
11
10
11
01
00
01
10
10
00
10
11
10
00
00
00
01
00
10
10
00
01
01
11
10
10
10
00
11
10
00
11
00
01
01
11
10
00
10
10
00
00
10
10
00
10
01
00
11
10
00
11
01
11
11
10
00
00
00
10
10
01
10
10
10
10
00
00
10
10
00
01
10
01
10
11
01
00
11
00
00
11
10
10
00
10
10
00
00
11
00
10
11
10
00
10
10
00
00
00
10
10
01
10
01
00
10
11
01
01
00
11
00
01
01
11
11
00
00
00
10
11
01
00
01
10
10
10
10
00
01
10
10
10
11
00
00
10
00
00
01
11
11
00
00
11
00
00
00
11
11
00
10
00
10
10
10
10
10
00
10
10
01
01
10
11
10
01
01
10
11
00
00
11
00
01
00
01
00
00
10
10
00
00
10
10
11
00
10
11
10
01
00
11
10
11
10
01
01
10
10
10
11
00
11
11
00
10
00
10
10
00
00
01
11
10
11
10
00
00
01
01
10
11
00
01
10
10
10
10
00
00
11
01
00
10
10
10
00
10
01
11
11
10
11
01
11
10
00
01
11
10
00
10
10
11
11
00
10
10
00
10
10
00
00
00
11
00
10
00
00
01
11
11
01
10
10
10
10
00
11
10
11
00
01
00
00
00
10
10
00
00
00
00
11
00
10
00
10
00
10
10
00
00
10
11
10
00
01
00
10
11
10
01
11
01
01
11
00
11
11
10
00
11
00
01
11
10
00
11
11
00
10
00
01
11
10
10
00
01
10
10
10
10
00
00
10
10
10
00
10
00
01
01
11
10
01
11
11
00
00
00
11
11
10
00
10
10
01
00
10
10
01
00
01
10
00
00
00
10
10
01
00
00
10
11
10
01
01
00
11
10
11
11
00
00
11
00
01
01
11
11
00
10
00
11
10
01
10
01
10
00
10
10
10
01
11
10
00
00
10
10
11
00
00
10
10
00
10
10
00
10
01
00
01
00
10
01
01
01
00
10
10
10
10
00
10
00
00
10
00
01
01
00
01
10
10
01
11
11
00
00
01
00
11
10
10
00
00
11
10
11
01
00
11
00
01
11
11
11
11
00
00
00
10
00
10
01
00
11
10
00
00
00
11
11
10
00
10
10
11
10
11
00
00
11
00
10
00
11
11
00
00
00
10
10
10
01
11
10
01
10
01
01
10
01
10
10
00
11
11
10
10
00
00
10
10
01
01
11
10
10
10
10
00
00
01
10
00
01
00
11
01
01
11
00
10
10
11
00
10
11
00
10
01
10
00
10
11
00
00
00
10
10
00
10
10
00
10
11
00
01
00
11
00
10
10
00
11
01
01
10
01
00
11
01
00
11
10
11
00
11
10
00
11
10
11
10
11
00
00
00
11
10
01
00
11
10
00
00
11
10
00
10
10
01
00
10
10
00
00
10
00
00
11
10
11
00
10
00
10
10
00
01
10
01
10
00
00
00
10
01
11
10
00
00
10
10
10
01
10
10
11
01
00
00
00
10
11
01
00
11
00
10
01
11
11
00
10
10
10
10
10
10
00
00
10
00
00
00
10
11
10
01
00
00
10
01
01
10
11
11
00
00
00
00
01
10
10
00
00
11
00
10
11
00
11
10
01
00
00
00
11
00
01
00
11
10
00
01
10
00
00
10
11
11
10
01
10
10
01
00
00
10
01
00
11
10
10
10
01
10
01
01
11
00
11
00
00
00
10
10
00
10
01
01
10
01
01
10
10
00
00
00
10
11
10
00
00
00
01
00
10
10
11
01
10
11
01
01
10
11
00
00
10
11
10
01
01
10
10
00
01
10
11
01
01
10
10
10
10
10
00
10
10
10
00
00
10
10
10
10
00
01
01
10
11
01
01
00
10
00
00
11
11
00
00
10
11
01
10
10
01
00
10
10
10
10
01
01
11
10
00
11
11
00
00
01
11
10
00
00
00
00
10
11
00
11
00
10
10
10
01
00
10
10
11
00
11
00
01
10
11
00
00
10
10
00
00
10
10
10
00
01
10
11
00
00
11
10
00
10
01
00
10
10
00
10
10
00
11
00
10
10
11
00
00
00
11
10
01
00
11
00
01
01
10
00
10
11
00
00
10
00
00
11
00
11
10
01
00
10
00
01
00
00
10
01
11
11
01
10
01
10
11
00
00
00
10
10
01
10
10
11
01
00
10
10
00
10
11
10
00
00
01
00
10
10
01
01
11
11
10
00
11
01
11
00
01
10
01
00
01
00
10
10
10
00
10
10
00
10
00
00
01
10
10
10
11
00
10
10
00
10
01
00
00
10
01
00
00
01
10
11
10
10
01
10
11
11
00
00
01
00
11
00
10
10
00
00
00
11
10
00
00
10
10
00
11
00
01
00
10
00
00
01
10
11
01
10
01
10
10
00
00
00
00
11
10
00
00
11
10
10
10
00
11
10
01
10
11
10
10
10
11
00
01
01
00
10
10
01
10
10
00
01
00
10
10
10
10
10
10
01
01
00
10
10
10
01
00
01
10
11
01
10
10
10
01
00
00
11
10
10
11
10
00
11
10
01
10
00
10
10
00
00
00
11
01
10
10
10
01
10
01
00
10
00
00
10
00
00
10
11
00
10
10
00
11
10
10
00
00
01
01
10
10
00
00
10
00
10
00
11
11
11
00
00
00
00
10
00
10
00
00
11
10
01
00
10
00
00
11
11
01
01
11
00
10
00
00
10
00
01
11
10
01
01
10
11
00
01
11
00
00
11
11
11
11
00
00
01
00
10
00
00
11
10
00
11
01
00
10
00
00
11
10
00
10
00
10
11
10
10
00
00
11
10
10
10
00
01
11
10
01
00
00
00
10
11
00
00
11
11
00
10
00
01
11
11
10
11
00
10
00
00
10
00
11
10
00
10
11
00
00
01
00
10
10
00
11
11
00
10
00
10
11
00
01
10
10
10
10
00
10
00
01
10
01
00
00
10
10
11
00
10
10
01
01
00
11
10
00
10
10
10
01
01
10
10
10
10
11
10
01
10
00
00
00
10
11
10
00
00
10
01
00
00
00
10
11
00
01
10
10
01
00
10
00
00
10
01
01
01
10
10
00
10
00
00
01
10
11
10
10
10
10
01
00
11
10
01
10
10
00
10
00
00
00
00
10
10
01
01
01
10
10
10
11
10
10
00
00
10
10
10
00
11
11
00
00
10
10
10
00
00
11
00
10
01
01
10
00
11
00
10
10
01
00
11
10
00
01
01
11
10
00
00
01
11
10
00
00
11
11
00
10
00
01
00
00
10
00
11
10
01
11
00
00
11
11
11
11
11
00
00
10
10
00
00
10
00
10
10
00
01
10
11
11
10
01
00
10
10
00
00
01
11
00
00
01
10
10
11
10
01
11
00
00
10
01
01
10
11
01
11
01
01
01
00
10
10
11
00
00
11
10
00
00
10
00
10
10
01
00
10
01
00
10
11
00
01
00
10
10
10
00
01
10
00
01
10
10
10
11
11
01
10
00
10
00
00
00
01
10
01
00
11
01
00
00
10
00
00
00
10
00
10
00
10
01
11
11
00
00
11
00
01
11
00
00
10
10
11
11
10
01
01
11
10
10
10
00
00
00
10
11
00
10
10
00
10
10
00
01
00
10
10
01
11
00
10
00
00
00
10
11
00
10
11
11
00
01
01
11
10
01
10
10
10
00
11
10
01
00
00
00
10
11
10
01
10
10
00
00
00
10
10
00
00
10
00
00
10
10
01
11
01
00
10
10
10
00
11
00
00
11
00
10
10
10
00
00
10
10
10
01
00
10
11
11
10
10
00
10
11
11
00
10
01
00
01
10
11
00
11
00
01
01
10
10
00
00
00
00
11
10
01
00
10
11
01
10
00
01
10
10
00
00
10
10
01
10
01
01
00
11
10
00
00
01
10
10
00
00
00
10
11
00
10
00
10
01
11
00
00
10
00
10
00
00
11
10
11
00
01
11
10
10
00
10
00
00
11
00
00
10
01
11
11
00
10
01
10
10
00
01
00
01
10
00
00
10
00
00
00
01
10
11
10
11
10
10
10
10
00
00
00
10
00
01
01
01
11
00
00
00
01
10
01
00
10
01
01
10
11
11
01
00
10
10
01
11
11
01
01
00
00
01
10
10
00
01
00
10
10
01
00
10
10
00
00
00
10
11
00
10
10
10
10
10
01
00
10
10
10
10
00
00
01
00
11
11
00
10
00
00
01
10
10
10
01
00
10
10
00
11
10
11
00
10
10
01
11
01
00
10
10
10
11
10
11
00
10
11
11
00
00
00
10
10
01
10
10
01
00
00
11
00
00
00
10
10
10
01
00
10
00
00
00
00
10
11
10
00
10
00
01
10
10
11
10
10
01
00
10
00
00
00
11
00
00
00
00
10
10
00
11
10
00
00
01
11
00
10
11
11
10
01
10
01
00
00
00
10
00
00
10
10
01
00
00
10
00
10
01
10
10
11
00
00
00
10
00
11
10
11
00
00
00
11
10
11
10
10
00
01
11
11
00
00
00
10
11
01
10
11
00
10
00
10
10
01
01
01
01
10
00
10
00
11
10
00
00
10
11
10
00
10
11
01
00
10
11
10
00
10
01
00
10
01
10
10
10
00
00
10
01
11
11
00
01
10
11
00
01
10
11
00
10
00
01
01
00
10
10
10
10
00
01
01
10
11
00
00
10
01
10
10
00
01
10
11
00
00
01
01
00
10
10
10
10
00
01
01
01
11
00
00
01
10
00
00
10
10
01
00
00
00
00
10
00
00
00
00
10
10
00
10
00
10
11
11
10
00
10
01
00
01
10
00
10
00
00
00
00
10
00
10
11
00
00
00
01
01
00
01
11
10
10
00
01
11
10
01
10
10
00
00
10
10
01
00
00
10
01
01
11
10
00
01
11
10
01
00
10
10
01
10
01
10
10
10
00
10
00
00
10
10
10
10
00
10
01
00
01
11
11
11
00
00
11
10
01
01
10
10
00
10
10
10
00
00
01
00
00
00
10
10
11
10
10
10
01
01
01
10
00
11
10
00
11
00
00
11
11
01
10
00
10
10
00
10
00
00
00
10
10
10
11
00
11
10
00
00
01
10
00
00
10
10
00
10
11
11
01
10
00
10
01
11
10
00
10
00
00
00
10
10
11
00
00
10
01
10
01
01
00
10
11
10
00
00
10
01
00
01
10
11
00
00
10
10
11
00
01
10
10
00
11
01
10
10
00
00
00
00
01
10
11
01
11
00
01
01
00
11
10
00
10
01
10
10
01
01
11
10
10
10
10
11
10
01
00
11
00
00
00
10
11
01
00
01
10
10
01
10
10
00
00
10
10
10
10
00
10
00
00
11
00
10
10
10
01
00
00
00
11
10
10
10
01
10
00
01
11
10
01
11
00
10
10
00
10
00
00
10
11
00
00
00
01
11
01
11
10
11
10
10
00
10
00
00
10
10
10
10
00
10
10
00
00
10
10
00
11
10
00
10
10
10
00
01
01
00
10
11
11
11
10
10
01
00
10
10
01
00
00
11
10
00
01
10
00
11
01
10
10
00
00
10
10
00
10
10
01
10
01
10
00
10
01
01
01
10
10
01
00
00
11
11
10
10
00
01
00
00
01
11
10
10
00
00
00
10
11
01
00
00
11
10
00
00
00
11
10
01
10
10
01
00
10
01
00
11
10
01
01
10
10
00
10
00
10
10
10
00
10
00
00
11
00
00
10
00
01
01
01
10
11
10
11
00
00
10
10
00
00
01
00
00
00
00
01
10
00
00
00
00
11
00
10
00
11
01
10
11
01
00
10
01
00
01
00
10
10
10
00
00
10
11
00
11
01
10
00
00
10
00
10
11
11
01
00
10
10
10
10
00
01
10
10
00
00
11
00
10
00
00
10
11
11
01
10
10
10
10
10
00
00
10
10
01
11
11
00
00
00
10
00
10
00
01
00
11
01
01
10
10
11
01
00
11
01
11
10
11
10
11
01
00
01
10
10
00
10
01
00
10
11
11
01
00
11
10
10
11
00
00
00
10
01
11
10
10
11
00
10
00
00
10
00
00
10
10
01
00
10
10
10
10
00
10
10
00
00
10
00
00
11
00
00
10
11
11
00
11
00
11
11
10
01
10
10
00
00
00
10
10
00
10
10
11
10
11
11
10
10
00
00
00
10
10
00
11
01
01
11
00
11
00
00
10
00
00
10
00
10
10
10
00
10
01
01
11
01
11
00
10
00
00
01
00
01
10
10
01
00
11
11
10
01
01
11
10
00
00
00
10
00
11
11
10
11
11
00
10
00
01
01
10
10
11
10
11
01
10
10
10
00
10
00
00
01
10
10
10
00
00
10
01
01
00
00
01
10
10
00
00
11
11
10
10
01
00
01
00
10
10
11
10
01
00
10
11
11
11
00
10
10
11
00
10
00
10
10
10
01
11
01
01
10
01
01
10
10
11
00
01
10
10
00
10
11
00
11
10
10
11
00
01
10
10
00
10
00
10
10
01
00
00
01
01
10
00
11
10
01
00
11
00
10
00
00
11
01
01
10
00
01
00
01
10
10
01
11
10
11
00
00
10
10
01
11
11
01
11
00
00
00
11
10
00
00
10
00
00
00
11
10
11
00
00
01
11
01
10
10
00
11
01
01
10
11
01
11
01
00
00
10
10
00
11
10
01
10
10
01
00
10
11
00
01
10
00
00
00
00
01
01
10
00
10
10
10
11
01
11
10
00
00
10
11
10
10
01
00
11
00
10
10
01
10
11
00
00
10
10
01
10
11
00
00
10
00
10
11
11
10
00
00
11
10
10
00
10
10
01
01
00
11
10
00
00
00
10
11
10
00
00
11
00
00
00
01
10
00
00
10
01
00
10
10
10
01
00
10
00
00
00
01
00
10
00
01
10
10
01
10
01
00
10
01
01
00
11
10
00
01
10
00
00
00
11
10
10
10
00
10
11
00
11
10
01
00
11
10
10
10
00
00
11
10
01
10
10
10
01
01
00
00
11
00
10
10
10
10
00
00
10
10
10
01
11
10
00
00
10
11
00
00
01
01
00
00
01
10
01
01
00
11
00
11
10
10
00
00
01
10
10
00
00
11
10
10
11
11
00
01
11
10
10
00
10
00
10
10
10
00
10
00
10
11
10
11
11
10
10
00
10
00
10
11
10
11
10
01
00
01
00
00
11
11
11
00
00
11
00
11
00
00
11
10
00
00
00
10
10
01
11
10
00
10
10
01
00
01
10
10
10
10
01
00
10
10
00
10
11
11
00
00
10
10
00
10
10
11
00
00
00
01
00
11
10
00
10
10
11
10
11
00
10
11
00
11
11
00
10
10
10
00
00
11
10
01
10
11
00
01
00
01
11
00
10
01
10
00
01
10
01
10
00
00
10
10
00
00
10
01
10
10
11
10
01
11
10
01
00
10
10
11
01
10
11
00
00
01
00
10
10
10
01
10
10
00
10
10
10
00
01
00
10
11
00
01
10
10
01
10
10
01
11
11
11
00
00
01
00
00
11
11
01
10
00
00
10
00
10
11
00
01
11
01
10
11
10
10
00
00
11
11
01
00
10
10
01
10
11
10
00
00
00
01
11
10
00
00
10
01
00
10
11
00
11
11
01
11
10
10
10
01
01
10
11
00
10
10
11
11
00
01
10
10
00
00
10
10
10
00
00
00
00
10
10
10
10
00
11
11
10
00
01
10
10
00
00
00
00
01
10
00
01
00
10
10
01
10
00
00
10
01
01
10
11
01
00
01
00
10
00
10
11
00
11
00
10
10
00
00
01
01
10
10
11
10
10
00
10
00
10
11
00
00
10
10
00
00
10
10
01
00
11
11
01
10
00
00
00
01
10
10
00
10
00
00
01
00
00
11
01
10
10
01
00
00
01
00
10
10
11
11
11
10
00
11
10
11
00
01
10
01
10
00
10
11
10
00
00
01
00
10
11
11
00
00
10
11
00
10
00
00
10
01
01
10
10
01
00
11
11
00
10
10
11
00
11
01
10
01
10
01
00
11
11
11
00
00
10
11
10
00
01
10
10
00
10
10
10
10
00
10
10
01
00
11
10
01
00
10
10
01
10
10
11
00
01
10
01
00
10
00
00
10
10
00
11
11
11
01
00
10
10
00
11
10
10
00
00
00
00
00
00
10
10
10
01
00
01
00
00
10
10
11
10
10
00
01
00
10
00
11
10
10
10
00
00
11
00
01
00
10
10
00
11
10
10
00
00
11
11
00
01
01
10
11
10
11
01
00
10
00
11
00
01
10
10
10
00
00
01
10
11
00
00
00
01
10
00
00
10
00
01
10
11
10
01
00
01
11
00
00
10
10
01
00
00
00
10
00
01
01
10
10
00
10
00
10
00
10
10
00
10
10
00
01
10
00
00
00
10
10
10
00
01
10
11
10
01
10
11
11
01
10
01
01
10
01
11
10
00
00
00
00
11
10
11
11
10
01
00
10
10
00
11
11
00
11
01
00
01
10
11
00
00
11
01
00
10
00
00
00
11
10
00
01
10
10
00
01
10
10
01
00
10
01
10
10
10
00
01
01
10
00
01
10
01
01
10
10
10
00
00
01
00
10
11
00
10
00
00
00
00
11
10
10
10
11
10
01
00
11
00
11
01
00
00
10
11
01
00
11
11
10
01
01
00
00
10
10
00
11
10
10
00
10
00
10
10
10
00
00
10
00
00
00
11
01
11
10
00
01
00
10
10
01
00
00
00
11
01
10
00
10
10
00
01
11
00
01
01
11
00
10
11
10
10
01
01
10
10
00
11
00
00
10
00
01
11
01
01
11
11
00
00
11
10
00
10
11
00
10
01
01
00
10
00
10
00
00
10
11
00
10
01
11
10
00
01
10
10
00
00
10
00
00
00
10
10
01
10
00
11
00
10
11
10
00
01
00
01
10
10
10
10
10
00
11
10
10
11
11
00
10
00
10
00
01
10
11
00
01
10
01
10
01
01
10
11
01
01
10
00
10
11
11
00
01
10
10
10
01
01
10
00
00
10
10
00
00
10
10
00
01
00
00
00
11
10
00
00
00
10
10
01
00
11
10
10
00
11
00
00
00
00
11
00
10
10
11
00
11
01
11
10
01
00
10
11
00
10
01
10
11
00
00
10
01
01
10
00
01
00
11
10
11
01
01
00
11
00
00
10
10
10
10
10
00
11
10
00
00
10
10
10
11
01
10
11
11
10
00
00
10
00
10
11
00
00
10
00
00
10
00
01
11
10
11
10
10
11
10
00
00
11
00
00
11
01
01
10
00
10
11
10
00
00
10
10
10
11
11
10
00
00
10
00
00
10
01
00
10
10
10
00
01
01
11
01
01
11
01
10
10
10
00
00
11
10
00
10
00
10
10
10
00
01
10
01
10
01
00
00
10
11
10
01
00
10
00
11
10
11
00
00
01
00
01
11
00
00
00
10
10
00
00
10
10
10
00
11
11
00
01
00
00
00
01
10
00
11
10
11
00
00
10
00
00
10
10
00
00
00
10
10
00
10
01
00
00
10
11
00
00
00
00
10
11
01
11
01
10
00
01
10
00
00
01
01
10
00
10
11
11
11
00
00
01
10
11
00
01
01
11
00
10
10
00
01
10
10
00
10
10
01
00
10
00
10
11
00
00
10
10
01
11
10
10
00
00
00
00
00
10
11
10
11
10
10
00
10
00
00
00
10
11
00
11
10
11
00
11
00
10
00
01
10
11
01
00
01
00
01
10
00
10
10
01
10
00
00
11
10
00
01
00
01
11
10
00
00
10
01
00
10
10
00
01
00
11
00
10
10
10
10
00
10
10
00
00
10
00
10
10
10
10
10
10
00
10
01
00
11
00
01
10
01
00
10
11
00
11
11
00
01
01
00
01
11
10
11
01
00
11
10
00
11
01
00
10
00
11
00
01
10
00
10
00
00
01
11
00
01
01
00
11
10
10
00
10
11
10
10
00
00
01
10
01
10
10
00
01
11
10
10
10
10
00
00
01
10
10
01
01
10
00
10
01
10
10
00
10
10
00
01
10
10
00
00
11
00
10
10
00
00
00
00
00
10
10
11
00
01
10
10
10
10
01
10
00
00
10
01
00
01
00
10
11
10
00
10
10
00
00
10
10
01
01
00
01
10
11
11
11
00
10
11
01
00
11
11
01
10
01
00
10
11
01
10
10
00
11
01
01
10
00
00
10
01
01
10
00
00
01
00
10
10
10
10
00
10
11
10
00
00
01
00
10
11
01
00
10
01
01
11
01
10
11
00
01
10
00
01
11
10
10
01
00
10
10
11
10
01
01
00
01
11
11
01
10
11
00
01
10
10
00
10
10
01
00
11
00
11
10
00
11
10
11
00
01
01
01
11
10
01
01
11
00
00
10
10
10
01
11
10
01
00
11
10
01
10
01
00
00
00
11
00
00
10
11
00
00
10
10
10
10
00
10
00
00
00
11
10
11
00
01
00
00
10
11
01
00
10
11
00
00
01
00
10
00
10
01
11
10
01
10
00
00
00
00
10
10
00
10
10
01
10
11
11
00
00
00
00
00
01
10
11
00
01
11
11
01
10
00
00
10
10
01
01
10
10
01
01
11
10
00
00
10
01
01
11
10
00
10
00
10
11
01
01
11
10
10
00
00
10
10
00
00
01
10
10
00
00
00
00
00
10
11
10
11
00
00
01
00
10
10
01
01
10
00
10
01
01
10
11
10
01
01
01
11
00
10
00
01
10
11
10
00
11
10
01
01
11
10
00
00
10
00
00
11
11
10
00
00
00
10
01
00
10
10
00
10
10
10
00
01
11
10
10
10
10
10
10
10
00
00
11
11
00
01
01
00
10
10
00
11
10
00
00
01
11
01
01
01
01
10
01
10
11
10
00
00
10
01
01
11
10
10
11
01
11
01
11
00
01
00
01
10
10
00
00
00
01
00
10
10
00
10
10
10
01
00
10
10
01
01
10
00
01
11
00
01
11
11
10
00
11
11
11
01
00
10
10
10
00
01
10
10
00
00
00
10
11
00
00
11
11
10
01
10
10
10
01
01
10
10
00
10
00
00
10
10
11
01
10
01
10
10
10
10
01
10
10
00
00
01
01
00
00
10
01
11
01
01
10
11
00
00
10
00
01
10
00
00
11
00
00
01
11
10
10
11
10
10
00
01
10
11
00
00
10
10
00
11
11
11
01
01
10
10
01
00
11
11
00
11
01
10
10
11
00
01
01
10
10
00
01
00
00
10
10
11
10
11
10
01
00
10
00
00
01
00
01
00
00
00
10
01
00
10
01
10
00
10
00
10
00
00
10
10
01
00
00
10
11
10
00
00
11
01
10
11
00
00
00
01
11
11
10
00
01
01
00
10
10
00
00
11
11
01
10
10
01
10
11
10
00
00
10
00
11
10
00
01
10
00
10
11
00
00
10
00
10
00
00
10
10
01
00
00
00
11
10
10
11
00
10
10
11
00
00
01
00
10
00
01
01
00
10
10
11
11
00
00
10
10
00
10
11
00
00
11
00
01
00
01
10
10
00
10
11
10
00
01
00
10
00
01
10
00
11
01
11
10
01
11
00
10
01
00
01
00
11
00
00
01
01
10
11
11
00
11
00
11
10
10
01
10
00
10
10
00
00
10
10
01
00
01
10
11
11
10
10
10
10
00
00
00
00
10
00
10
10
10
10
00
01
00
11
00
00
10
00
00
10
10
11
10
11
01
11
10
11
11
00
01
01
01
10
00
01
10
00
10
10
01
10
10
00
10
10
00
00
00
11
00
11
10
01
11
00
10
01
10
10
11
00
00
11
01
10
01
10
00
10
00
00
00
10
11
10
10
00
11
01
00
00
00
10
00
10
11
00
00
00
00
10
00
00
10
00
10
00
01
10
00
10
10
11
11
10
00
10
00
01
10
00
10
00
10
00
00
11
01
11
00
00
00
00
01
11
01
01
00
01
00
01
10
11
00
10
11
10
00
00
00
10
00
01
00
11
11
10
00
10
01
00
00
01
11
10
00
00
10
00
00
10
00
00
10
00
00
00
10
00
11
01
01
10
10
01
10
11
11
01
01
00
01
00
10
00
00
11
10
00
11
10
00
10
10
00
10
01
00
10
00
11
00
10
10
00
01
10
11
00
11
10
01
10
10
10
00
00
01
01
11
00
00
01
10
00
00
11
10
00
10
10
11
10
01
01
00
11
11
00
00
11
00
00
10
11
11
00
00
10
10
01
01
00
11
11
01
11
01
00
10
10
10
10
10
11
01
00
00
00
10
11
10
00
01
00
00
10
10
01
11
00
10
10
01
00
00
11
01
11
00
01
10
11
11
00
01
10
01
01
01
11
10
01
01
10
10
10
01
01
00
10
10
01
10
10
00
10
10
10
10
00
11
01
00
00
10
10
11
00
00
00
10
01
11
10
10
00
11
01
10
00
10
10
10
10
01
10
00
10
00
00
00
11
00
10
00
10
00
11
00
01
10
10
00
11
11
00
10
10
01
10
00
01
10
11
10
00
11
10
10
11
10
00
10
11
01
01
00
00
00
11
10
01
10
01
00
10
01
00
10
10
10
00
10
00
00
10
01
11
10
00
10
10
01
11
00
00
11
00
00
00
11
00
00
10
11
00
11
00
10
00
00
01
00
01
10
10
11
00
00
00
01
10
11
00
01
01
01
10
10
00
00
01
00
10
10
01
01
00
10
01
00
00
00
11
01
00
10
01
00
10
10
10
00
10
10
10
10
00
00
11
00
00
10
00
00
01
10
10
10
00
00
11
10
00
10
10
00
10
01
10
00
00
10
11
11
01
00
00
10
00
10
10
01
01
10
00
10
10
10
00
01
10
00
10
00
00
10
11
10
01
00
00
10
10
11
00
00
11
01
00
10
10
00
01
10
00
01
10
01
01
11
10
01
00
11
10
00
00
10
00
01
01
11
11
10
00
11
01
01
01
11
10
10
00
10
00
01
10
10
00
00
11
01
10
10
11
10
01
01
00
00
01
10
10
10
10
01
00
10
10
11
10
10
00
01
01
10
10
10
10
01
11
00
10
10
00
00
00
11
00
01
10
01
00
00
01
11
11
00
00
11
00
00
10
10
00
00
10
00
10
11
00
00
00
10
11
00
10
01
00
01
10
00
00
10
00
00
10
11
10
00
10
01
00
10
10
01
10
00
10
00
11
11
10
10
00
11
11
11
00
01
00
10
10
10
10
01
01
11
10
00
10
11
00
10
00
10
11
10
00
10
00
00
00
00
00
10
00
10
10
10
00
10
00
10
11
10
01
00
10
01
10
11
00
01
10
11
00
01
11
11
00
10
11
10
00
01
10
10
10
01
11
01
11
00
10
11
10
00
00
11
11
01
01
11
11
00
00
00
10
00
00
10
01
00
00
00
10
01
00
00
01
10
10
01
00
10
10
11
00
10
11
01
10
10
00
10
10
10
00
10
00
10
00
10
01
00
00
00
11
10
11
01
00
11
11
10
10
01
00
11
10
01
00
11
00
10
11
00
00
00
10
01
00
00
00
10
00
00
11
10
01
01
11
10
00
00
10
01
01
00
10
00
00
10
01
00
10
11
00
00
01
01
00
10
11
11
10
11
00
10
10
11
11
01
10
10
10
00
00
10
01
11
10
01
01
01
10
11
00
11
00
00
00
11
10
01
01
10
10
11
01
10
10
10
10
01
01
11
01
11
10
10
00
01
11
11
00
10
00
10
11
01
00
10
10
10
00
00
00
01
10
00
11
00
01
00
00
00
11
11
00
11
10
00
01
10
01
10
10
00
00
00
01
11
11
01
01
11
00
11
00
10
10
00
00
10
00
00
01
10
00
01
11
11
11
11
01
00
10
00
00
10
11
10
11
10
00
00
00
00
11
01
10
11
11
11
10
10
00
00
11
11
10
00
01
10
10
00
00
01
10
10
01
00
10
10
00
01
00
00
11
00
00
10
01
00
00
10
00
11
10
10
00
10
00
00
00
10
00
00
10
11
10
10
10
00
01
10
10
10
00
01
11
00
11
10
00
00
10
01
00
00
10
00
00
00
00
10
10
10
10
00
01
01
10
00
10
01
00
10
01
01
01
01
10
10
10
01
10
11
10
00
11
00
01
10
11
01
10
10
00
00
10
01
11
11
10
10
10
10
10
00
00
01
01
10
01
01
11
10
01
10
10
01
00
10
10
00
10
10
00
01
10
10
01
11
10
10
00
10
10
10
01
00
11
00
01
10
10
10
01
00
00
10
10
11
00
01
01
00
10
10
00
00
01
10
00
00
00
01
10
11
11
00
10
01
11
10
01
01
11
11
00
00
10
10
00
00
00
10
10
11
00
11
10
01
00
10
00
00
10
00
10
11
00
10
00
11
01
10
00
00
10
00
10
10
01
01
00
00
00
11
10
00
00
00
00
10
10
10
00
10
00
00
10
10
11
10
10
10
00
01
10
01
01
00
10
01
00
11
11
10
00
11
11
00
10
00
01
00
10
11
00
01
00
00
10
00
10
01
11
11
10
10
00
00
11
00
00
10
00
10
11
00
00
11
01
11
00
10
10
00
10
00
00
10
10
10
11
00
00
10
11
10
11
10
01
11
10
01
10
01
00
10
11
10
10
10
00
00
10
11
01
01
01
11
01
10
00
10
10
00
00
00
10
01
11
10
10
10
01
10
00
00
11
10
10
10
01
00
00
00
01
11
00
10
10
11
11
01
11
01
11
01
00
10
00
00
11
10
01
11
00
10
01
11
10
10
00
01
00
10
00
10
10
01
10
01
00
10
10
11
00
01
01
11
10
01
00
01
00
01
00
11
10
00
01
11
00
00
00
11
11
01
11
11
11
10
00
00
11
01
00
10
10
01
00
00
00
11
11
10
10
00
00
11
00
00
00
10
10
00
01
10
10
10
00
01
10
10
00
00
11
10
00
01
11
10
11
00
00
10
10
11
00
00
11
10
10
00
10
01
00
10
01
10
10
10
11
01
01
10
10
11
10
10
01
00
10
11
00
10
01
01
00
00
01
01
00
00
11
10
00
10
00
00
00
10
01
00
10
10
10
01
01
10
01
01
00
10
10
00
11
10
00
00
01
11
00
10
10
11
11
11
00
01
00
00
10
10
10
00
10
00
01
11
01
10
11
01
00
01
00
11
11
11
00
00
10
10
01
00
00
10
10
01
11
01
00
10
00
01
01
10
10
10
10
00
01
11
00
00
10
11
10
01
01
00
10
00
00
10
10
00
10
10
01
00
10
10
10
01
00
10
10
11
00
01
11
01
00
10
11
10
11
01
01
10
10
10
10
00
00
10
10
11
00
10
01
01
10
00
00
10
11
00
11
00
00
10
10
10
00
01
10
01
10
10
10
10
11
00
11
11
00
00
00
01
10
11
00
01
00
10
11
00
11
10
10
01
11
00
00
11
10
00
10
11
00
10
11
11
01
00
00
01
10
01
00
00
10
10
00
00
10
10
11
10
00
10
11
01
00
01
10
01
00
00
00
10
01
00
00
11
10
11
10
10
00
00
10
00
00
00
10
11
10
11
01
00
11
10
11
10
00
01
10
10
10
01
00
01
10
11
10
10
00
00
00
11
00
11
10
00
00
10
11
00
01
00
00
10
11
01
10
10
00
10
10
00
00
10
01
01
00
01
10
11
00
00
00
00
11
10
10
00
01
00
11
11
00
11
00
11
00
11
10
00
11
11
10
01
10
10
10
00
00
00
11
10
00
01
10
00
00
10
11
00
01
10
10
10
11
11
10
10
11
10
01
10
00
00
00
10
00
10
10
10
00
10
01
10
11
10
10
00
00
10
00
01
10
11
01
11
11
01
00
11
10
10
11
00
11
11
01
00
00
00
11
01
00
01
11
10
10
00
00
01
10
10
10
00
10
00
10
00
11
11
10
10
10
10
00
10
01
11
10
11
10
00
10
01
00
01
10
11
01
01
11
11
01
00
00
10
10
11
01
10
10
00
00
01
10
01
01
00
10
10
00
00
10
00
00
10
00
11
11
10
00
10
11
11
10
00
01
10
10
01
01
10
00
10
10
10
10
00
10
10
00
11
10
10
10
00
00
10
00
10
11
10
00
00
00
10
01
00
11
10
11
00
10
10
10
00
01
00
01
11
00
00
00
00
10
00
00
10
10
11
00
00
00
10
00
00
00
10
10
00
00
01
10
10
00
00
01
10
00
10
10
01
11
00
01
11
10
10
11
10
11
00
10
00
10
11
00
10
00
00
00
10
10
01
00
00
00
10
10
00
01
10
10
00
10
10
00
00
00
00
10
10
00
01
00
10
10
01
00
10
00
10
00
00
11
01
01
10
00
11
10
10
10
10
00
10
01
11
10
00
00
01
01
10
01
01
00
11
10
10
00
00
11
10
11
00
11
01
00
00
00
11
11
10
00
00
10
11
01
10
10
01
00
10
01
00
01
10
00
10
10
11
00
00
10
01
00
00
10
00
10
10
00
01
10
10
00
00
00
00
11
10
10
10
10
11
10
01
11
11
00
10
01
01
01
11
00
01
10
00
00
10
10
00
10
11
10
01
01
10
10
00
10
00
10
00
00
11
00
00
00
00
00
11
10
00
10
11
00
00
11
10
00
00
01
11
00
10
00
00
10
00
10
00
10
10
11
00
01
11
00
10
01
00
10
10
01
00
00
10
10
10
00
01
10
10
00
00
00
00
01
10
11
10
10
01
10
11
00
00
11
01
00
01
11
11
11
11
10
00
11
01
10
11
01
00
10
00
10
00
11
00
01
11
00
00
00
00
10
01
01
10
11
00
00
10
10
00
00
00
11
00
10
10
01
10
01
01
10
01
10
11
00
00
10
01
00
11
01
10
01
01
10
01
00
11
00
00
10
11
00
00
10
00
01
10
00
11
00
00
01
10
11
10
10
00
10
01
10
11
00
00
01
11
10
10
10
10
10
11
10
10
10
00
01
01
01
11
11
00
01
01
11
10
00
01
10
00
00
11
10
00
00
11
00
11
10
00
00
00
00
10
01
11
11
01
00
10
00
11
01
00
11
10
00
01
00
11
00
01
10
01
00
01
10
11
11
01
01
11
01
00
11
00
10
10
01
11
10
00
10
00
10
10
00
11
11
00
10
10
10
10
11
10
00
11
00
01
10
11
10
10
00
00
10
10
00
00
10
10
11
00
10
10
11
10
00
10
00
00
10
00
10
00
10
10
00
10
10
11
11
00
00
01
11
10
00
01
00
10
01
11
00
11
10
01
00
10
00
10
10
00
10
11
01
00
00
11
10
00
00
10
00
01
10
11
10
00
10
10
00
10
10
00
01
01
00
00
00
00
10
10
11
01
00
01
11
00
01
11
10
10
01
01
10
00
00
10
00
00
10
01
00
11
00
00
11
01
11
10
00
00
00
00
10
10
00
00
10
11
01
10
01
00
11
10
11
11
10
01
00
11
10
00
00
10
01
01
10
10
01
00
00
10
00
00
10
01
01
00
01
00
01
01
10
01
11
10
10
11
00
10
00
01
01
11
11
00
00
00
10
11
10
00
10
00
11
00
11
10
00
10
01
11
11
10
00
01
11
00
00
10
00
10
10
00
11
00
00
00
01
01
00
11
00
01
10
01
11
00
00
01
00
10
10
11
11
00
00
11
11
11
00
00
10
11
10
10
00
10
00
00
11
10
11
00
00
10
00
01
10
10
10
11
10
10
10
00
01
10
10
10
10
00
00
01
00
00
00
10
00
00
01
01
11
11
01
01
00
10
00
10
00
00
11
11
00
11
01
00
10
01
10
01
10
10
10
00
01
10
10
00
01
00
10
01
10
01
01
11
10
00
00
00
10
10
00
00
00
01
10
11
00
00
10
10
10
00
01
11
11
10
00
10
10
00
00
01
11
10
10
00
11
11
10
10
10
00
00
00
10
00
10
00
00
01
10
00
01
00
00
01
00
10
00
00
10
10
00
10
11
01
00
11
10
10
00
01
00
00
00
10
10
11
10
00
00
10
11
00
01
00
00
00
00
10
10
11
00
01
00
10
10
01
10
11
00
01
10
10
11
00
00
00
11
11
11
10
10
00
11
11
11
01
00
10
11
00
00
11
10
00
10
00
01
10
01
00
01
10
01
10
10
10
01
01
01
11
11
10
00
00
00
00
10
10
01
10
11
01
00
01
10
00
10
10
01
00
00
00
00
00
00
10
10
01
11
10
00
11
11
01
00
00
10
01
00
00
10
10
00
10
10
11
11
01
11
00
10
10
10
10
00
01
00
00
00
10
10
10
00
11
00
10
11
01
11
11
00
00
00
10
10
01
00
10
10
10
10
00
00
11
01
00
10
00
01
11
00
01
11
00
01
00
11
10
00
00
10
10
00
10
10
00
00
00
01
11
10
00
00
00
01
01
11
10
00
00
10
10
00
10
10
10
00
01
00
11
11
00
11
10
10
00
10
11
00
00
11
11
00
01
10
10
00
01
00
00
10
11
00
10
10
01
01
10
10
11
11
11
10
01
00
00
00
00
10
10
00
10
11
10
00
10
10
10
00
01
10
01
10
00
10
11
01
01
10
10
00
10
11
01
00
10
10
00
10
11
11
00
01
10
00
01
00
00
10
00
00
10
10
11
00
01
00
01
01
11
10
11
10
01
11
00
10
11
00
11
01
00
10
00
01
10
01
00
00
10
11
00
10
01
00
01
10
00
10
10
10
00
10
11
00
00
10
10
00
10
01
10
01
10
00
00
01
00
10
01
00
11
10
00
11
10
10
10
10
00
10
01
00
11
10
10
10
11
11
01
00
10
00
00
01
10
10
00
11
10
01
10
00
01
00
01
10
01
10
11
11
10
10
01
00
10
10
00
11
10
11
10
00
00
01
10
10
10
01
00
00
00
11
00
10
11
10
00
00
00
11
00
10
00
01
10
00
01
00
11
10
00
00
10
10
00
10
00
00
00
11
10
00
11
11
00
11
00
00
10
10
10
11
10
00
10
10
11
10
11
01
10
00
01
10
00
11
10
00
10
10
01
01
00
10
11
10
10
01
00
10
00
00
11
10
01
00
10
00
10
10
00
10
10
00
01
00
10
00
10
00
00
11
11
11
00
01
10
10
01
11
10
00
01
00
00
10
10
10
01
01
00
10
11
00
11
11
00
01
10
10
00
01
10
01
10
10
01
00
00
11
11
00
00
01
11
10
00
10
10
00
11
00
11
01
10
00
00
00
00
01
00
00
10
00
00
00
10
10
10
10
10
10
11
10
11
01
10
11
10
00
00
10
11
01
00
10
00
01
00
11
10
00
01
11
11
11
00
01
11
00
00
11
10
01
00
10
10
10
10
00
00
11
11
11
00
01
00
01
00
10
00
00
11
10
11
10
10
00
00
00
10
00
01
00
01
01
10
10
11
10
01
00
10
00
00
00
10
11
10
10
00
00
00
10
01
01
11
00
10
11
10
10
00
00
00
11
11
00
01
00
10
00
10
10
00
11
10
01
11
10
01
00
00
00
10
10
01
10
00
10
10
00
01
10
11
11
01
11
00
00
10
10
00
10
01
11
10
10
01
11
11
01
10
01
11
00
01
00
00
10
10
10
10
00
01
00
01
00
10
00
00
10
00
11
10
00
10
11
01
10
10
10
10
11
01
00
01
11
11
11
01
01
00
11
11
10
00
00
10
11
00
01
00
01
10
11
11
01
11
10
00
01
11
10
00
01
10
00
00
10
00
01
01
10
10
10
10
01
00
00
11
00
10
10
11
10
01
00
11
00
11
11
00
10
00
00
01
01
10
10
10
10
10
10
00
01
00
11
01
00
01
10
00
10
11
10
00
00
11
10
00
11
10
11
01
00
00
11
00
10
10
10
00
00
00
00
11
01
00
11
00
01
00
00
10
00
11
00
10
00
00
10
00
10
11
11
01
00
00
10
00
00
00
11
10
00
00
00
10
00
00
10
00
00
10
00
00
10
00
10
11
10
01
01
10
00
10
00
11
00
01
10
11
01
10
01
00
10
11
11
00
01
01
00
00
10
01
00
11
01
10
10
10
11
01
00
10
11
01
11
11
11
01
01
10
01
01
01
11
11
10
00
00
10
00
10
10
11
00
01
11
00
11
01
10
00
10
10
00
00
10
11
00
00
11
10
11
11
11
01
10
10
11
10
00
01
10
10
10
00
00
11
11
01
10
11
10
11
00
10
11
01
10
00
11
10
01
00
10
00
00
10
11
10
00
11
00
01
10
00
01
11
10
01
10
10
00
00
00
11
00
00
10
11
01
01
10
10
10
10
11
00
11
10
00
00
11
11
11
00
10
00
01
11
00
01
10
00
10
10
01
11
10
00
00
10
10
00
00
00
00
10
00
11
00
01
00
10
00
01
00
11
10
00
00
10
11
01
10
11
10
11
00
11
11
00
00
00
10
10
10
01
00
10
10
10
00
01
10
00
10
10
00
10
11
10
11
00
11
11
01
00
11
10
11
00
00
00
10
01
00
00
01
11
00
00
00
00
01
11
10
11
00
00
00
10
10
00
00
00
01
00
00
10
01
10
11
11
11
01
11
00
00
00
11
10
01
01
10
10
00
10
11
01
10
00
01
10
10
00
01
10
10
10
01
00
00
00
11
10
10
01
00
10
00
00
11
01
10
01
00
11
11
11
00
00
10
00
00
10
10
11
11
00
00
01
11
11
10
10
10
10
01
00
11
00
10
10
00
10
01
01
10
00
01
10
00
01
00
11
10
01
00
10
10
01
10
00
10
10
01
00
10
10
00
00
10
10
10
00
01
00
11
10
00
01
11
01
10
10
01
10
10
00
00
11
10
10
00
00
10
10
10
10
01
01
11
00
01
00
10
01
11
00
01
00
01
00
01
00
10
00
00
01
11
11
10
01
10
10
00
01
00
10
10
00
10
00
11
10
00
00
00
00
00
10
00
10
10
10
11
10
00
10
10
11
00
10
00
10
10
00
00
10
11
00
00
00
10
00
00
10
00
10
10
10
00
10
10
10
01
00
10
10
00
00
10
10
10
00
11
01
01
00
01
10
00
10
10
00
00
00
10
11
00
00
10
10
00
11
10
10
10
00
01
10
10
10
10
00
11
10
00
10
10
11
11
10
00
01
00
00
00
10
10
00
00
00
00
01
00
10
01
01
01
11
11
10
10
01
10
00
00
11
10
10
00
11
01
01
10
10
01
10
00
00
10
10
10
01
10
01
10
11
10
11
10
01
01
11
11
11
01
00
01
00
11
11
01
01
00
11
10
00
00
11
00
01
00
10
10
01
11
10
00
00
10
01
00
11
11
10
10
10
00
00
10
10
11
00
10
11
00
00
10
11
11
00
11
00
10
00
00
10
00
00
11
10
10
00
10
10
10
10
00
00
01
00
11
11
11
10
00
10
01
00
11
01
10
00
10
00
00
11
10
01
01
00
01
01
10
10
00
00
00
00
10
10
00
00
00
00
00
10
10
01
01
00
00
00
11
01
00
11
10
11
11
00
11
11
10
01
01
00
11
00
00
10
00
01
10
11
10
01
10
11
00
11
10
00
00
10
00
01
11
00
10
00
10
00
00
11
10
10
11
00
00
11
00
00
10
10
01
00
01
10
11
00
00
10
11
10
00
11
00
01
10
01
00
00
10
11
00
01
10
10
00
10
11
00
01
00
01
00
00
01
01
00
11
00
11
10
01
00
10
11
00
10
10
10
00
11
00
10
10
01
11
01
01
10
00
00
10
01
00
10
11
00
10
01
11
00
00
11
00
01
00
11
11
01
10
10
01
01
01
11
11
01
10
10
11
00
00
00
10
10
01
10
00
10
10
01
00
10
10
00
00
01
00
11
00
01
10
11
11
00
00
10
01
01
01
11
11
01
00
10
00
00
00
10
10
01
11
01
10
11
00
01
00
01
01
11
00
01
11
11
00
00
10
11
10
00
10
00
01
11
10
10
10
00
01
00
10
00
01
11
10
00
01
10
11
00
11
01
00
00
10
11
00
10
00
01
10
01
01
10
11
01
00
00
00
11
10
10
00
01
01
10
00
00
00
00
10
10
10
11
10
11
01
00
00
01
11
00
10
01
10
00
01
00
00
00
10
10
10
10
11
00
00
10
11
10
10
10
11
00
10
01
00
10
11
10
01
00
11
00
00
11
10
01
00
10
00
11
01
10
10
00
00
11
10
11
10
11
00
10
00
11
00
11
10
00
00
11
10
00
10
10
00
11
11
00
11
01
00
11
00
00
00
01
10
10
00
00
10
10
10
11
11
10
10
01
10
00
00
10
10
00
00
10
00
00
11
11
00
01
01
10
00
00
11
00
01
10
00
00
00
10
00
00
10
10
00
01
00
01
10
10
00
11
01
11
10
01
00
10
01
10
01
00
10
10
10
01
01
01
10
11
01
10
01
01
00
11
10
11
10
00
00
00
10
10
10
10
01
10
00
10
00
00
01
00
01
01
11
10
00
11
00
10
11
00
00
00
10
10
00
10
10
00
11
01
01
01
00
10
01
10
10
00
00
11
10
00
00
10
00
00
00
10
01
10
10
01
11
00
10
00
11
11
00
10
00
00
10
00
00
10
11
10
10
10
10
10
10
00
10
00
11
00
01
00
10
00
00
10
01
00
10
01
11
01
10
10
10
10
00
11
00
00
00
10
10
00
10
11
10
11
10
10
00
00
01
11
10
00
00
01
10
11
00
01
11
11
11
11
01
00
00
10
00
10
10
01
10
10
00
01
01
10
10
10
11
01
11
11
00
00
00
00
10
11
00
11
00
00
11
10
11
00
11
10
11
11
00
01
01
00
11
01
11
10
01
00
00
00
11
10
01
00
11
01
01
10
11
01
00
10
10
00
10
00
00
10
10
10
00
11
10
00
10
10
10
01
10
11
00
01
11
10
11
11
10
00
00
10
10
00
00
10
11
00
01
01
10
10
01
10
10
10
00
00
11
10
10
00
00
10
11
01
01
11
01
10
00
01
01
10
10
00
11
10
00
10
10
01
11
10
00
00
10
00
11
00
10
10
11
11
10
11
00
00
10
10
10
01
01
10
01
10
00
00
10
01
10
01
00
00
10
10
11
00
10
00
10
00
00
11
10
10
01
00
00
00
00
01
00
10
00
10
10
11
01
10
10
00
10
10
01
01
01
10
11
10
11
10
00
01
10
01
00
00
11
10
11
10
00
01
11
01
01
10
10
11
01
00
10
01
01
10
01
01
11
00
00
11
01
01
10
00
00
10
00
01
00
11
10
00
00
11
00
10
11
00
10
00
10
10
01
01
00
01
10
11
00
10
10
00
10
10
00
00
00
00
11
00
01
11
10
10
11
00
00
01
01
11
00
00
10
10
01
00
01
10
11
00
10
00
00
10
11
10
01
10
01
00
01
00
00
01
10
10
00
00
11
01
11
11
11
10
01
10
10
00
01
10
10
10
00
01
10
01
01
01
00
11
10
01
00
10
10
01
10
11
10
00
01
01
00
00
11
10
10
10
00
10
01
10
10
10
00
01
10
10
10
10
01
01
01
10
01
10
10
00
00
01
00
11
10
00
00
01
00
01
10
10
01
00
10
01
00
11
10
10
00
11
10
01
00
11
00
11
11
10
11
00
01
10
01
10
00
11
10
00
00
10
10
11
10
10
11
11
00
10
01
00
00
00
00
10
00
00
10
00
11
10
10
00
00
00
00
01
01
10
00
10
00
00
00
10
00
11
10
00
10
00
11
00
10
00
10
10
00
11
11
10
10
01
01
00
00
11
00
00
11
10
11
10
00
01
11
01
01
01
00
10
00
00
10
10
01
01
11
10
11
01
00
10
00
00
10
10
10
10
11
01
00
11
11
01
00
10
11
11
11
10
00
01
10
10
11
01
11
10
00
00
10
10
00
00
10
10
01
10
11
10
10
10
11
01
01
11
01
01
00
00
10
00
01
10
01
00
00
11
00
10
00
10
10
10
10
00
11
00
00
01
11
10
10
10
00
00
00
10
01
10
11
00
11
00
11
10
01
00
11
11
00
10
10
10
00
10
11
00
01
10
11
10
10
10
11
11
01
01
00
10
10
01
11
01
00
11
10
10
00
00
10
00
10
10
00
11
01
01
00
10
00
00
00
10
10
00
11
01
01
10
00
10
11
10
00
10
10
11
10
01
11
00
01
10
00
00
10
10
11
00
00
00
00
11
00
00
10
11
11
01
01
10
10
00
01
10
10
00
01
00
10
10
00
00
00
00
11
01
00
01
10
10
11
00
10
11
01
01
01
00
01
11
00
11
10
01
00
10
10
00
00
10
10
11
00
00
01
00
10
00
00
11
01
10
10
11
10
10
11
00
00
01
10
11
10
01
10
00
00
01
10
10
10
01
00
01
11
11
11
00
10
10
10
10
00
10
10
00
00
00
11
00
00
11
10
10
00
01
10
00
10
10
00
01
11
10
10
11
01
00
00
11
00
11
00
01
00
00
11
11
00
01
00
10
00
11
10
00
10
01
11
10
01
00
01
00
10
10
10
10
00
11
01
00
00
01
10
00
11
10
11
10
00
00
10
10
01
01
11
11
00
00
00
00
10
10
00
11
10
10
10
10
00
01
00
00
01
10
01
00
11
11
10
10
01
00
01
10
10
10
10
10
10
00
01
10
11
10
00
10
00
00
10
10
00
10
00
10
10
01
00
10
10
01
00
00
00
10
10
00
00
10
10
00
00
00
00
00
00
01
00
00
11
10
10
11
00
01
00
00
10
01
10
10
10
01
10
00
00
01
10
10
00
11
10
00
01
10
11
00
00
00
10
11
00
00
00
11
00
10
11
01
11
00
11
11
10
11
00
11
10
01
01
00
00
11
10
00
01
01
10
10
10
10
01
10
00
00
00
10
10
10
10
10
11
00
01
00
01
10
01
01
10
11
00
01
00
10
10
01
10
11
00
01
10
10
00
10
10
00
01
10
11
11
10
00
00
11
11
00
00
00
00
10
11
11
11
10
11
01
00
10
00
10
00
01
10
01
10
00
01
10
00
00
00
10
10
11
10
00
00
10
00
01
01
11
10
11
10
00
01
11
10
00
10
10
10
11
00
11
00
01
10
11
00
10
11
00
00
11
01
00
10
10
10
00
00
10
00
10
01
11
11
10
11
10
01
10
11
01
00
00
10
11
00
00
10
10
10
10
11
01
01
11
00
01
10
00
11
10
01
00
10
00
10
10
11
10
10
11
01
10
00
10
01
10
01
01
10
10
00
01
00
10
10
00
11
11
10
10
10
00
00
00
10
10
00
00
00
01
00
10
00
11
00
01
10
11
10
01
10
00
10
00
00
10
00
11
01
00
00
00
00
00
10
10
00
01
10
11
10
00
10
10
10
01
00
10
00
00
01
00
01
10
11
00
00
11
01
10
10
00
00
10
00
10
11
00
11
10
00
01
11
01
00
00
11
00
00
10
11
00
10
10
01
01
00
10
11
00
01
00
10
10
01
00
11
10
00
01
00
11
00
00
10
00
11
10
10
00
00
10
01
10
00
00
10
10
00
11
11
01
00
00
00
11
11
00
11
11
10
11
11
00
01
11
01
00
00
00
10
11
11
10
10
00
00
00
01
00
11
10
10
10
00
00
00
00
00
10
10
00
00
10
00
01
11
10
01
00
00
11
11
00
01
10
00
00
10
00
01
11
10
10
00
00
11
10
01
10
10
10
11
11
01
10
11
00
01
00
10
10
11
10
11
01
00
00
10
01
11
00
01
10
10
00
11
01
11
01
11
00
10
00
00
00
11
10
00
11
10
00
00
00
01
01
00
10
10
10
10
10
01
10
11
11
10
10
00
00
11
10
00
01
10
00
01
00
01
00
01
10
11
00
01
00
11
00
10
10
11
00
00
00
10
00
00
10
00
00
10
10
10
00
10
01
11
10
10
11
10
10
11
10
01
00
00
00
11
00
01
00
10
00
10
10
11
00
11
10
11
00
00
10
00
10
00
01
10
01
00
00
01
01
00
11
01
00
01
10
10
01
01
10
11
10
00
01
10
10
10
10
00
10
10
11
00
00
01
10
10
00
10
10
10
11
00
01
00
00
00
11
10
01
00
10
01
10
11
11
00
00
01
00
10
01
00
00
01
00
00
10
10
10
00
10
10
11
10
00
10
10
00
10
10
01
10
10
00
00
10
00
11
11
00
00
01
00
01
10
01
01
01
00
11
10
11
00
00
10
10
11
00
00
10
00
11
10
11
00
10
01
10
10
10
00
00
11
10
01
10
01
00
10
11
10
11
00
11
00
11
11
00
00
11
01
01
01
00
11
11
00
00
00
00
10
10
11
10
01
10
10
10
00
01
00
01
10
10
01
00
11
10
11
10
10
10
00
00
10
00
00
00
11
11
00
10
10
11
00
01
10
00
11
01
11
10
11
01
10
11
10
00
00
00
10
10
00
00
11
10
00
10
10
10
00
01
10
00
01
10
10
01
00
00
11
11
00
10
00
10
10
01
00
00
00
00
10
01
10
11
11
10
00
00
00
00
10
10
11
01
00
00
10
11
01
01
00
10
11
11
10
00
00
10
11
10
10
00
00
10
11
00
11
10
01
00
10
10
11
00
11
00
00
00
00
00
10
00
00
00
11
00
00
11
11
00
11
11
10
10
10
10
11
00
00
10
00
10
00
10
01
11
10
10
10
00
10
10
10
10
00
00
00
10
10
11
11
00
00
00
01
10
10
00
00
11
10
00
10
10
11
01
10
10
10
00
10
10
10
10
01
00
00
00
10
00
01
11
11
10
00
11
00
00
01
10
11
01
01
00
11
00
01
00
10
10
01
10
10
00
01
00
11
01
10
10
00
10
11
10
00
00
00
00
10
01
11
11
01
11
00
11
10
00
00
00
10
10
11
11
00
00
01
00
01
10
11
10
00
10
01
10
10
00
00
10
10
00
00
00
10
10
00
01
00
01
10
10
00
00
01
00
10
11
10
00
11
00
00
00
11
10
11
00
00
00
11
01
11
10
01
10
11
11
10
01
00
11
10
00
01
10
10
00
10
11
00
00
10
11
00
00
10
10
10
00
01
10
11
00
11
00
00
10
10
10
00
00
10
11
01
10
01
10
10
00
10
10
00
10
10
01
01
01
00
01
00
00
00
10
00
11
10
00
00
10
11
00
10
00
00
10
01
10
10
10
00
00
00
11
10
00
00
11
00
10
00
00
10
00
00
11
00
10
10
10
00
11
00
11
11
00
00
10
00
00
00
10
10
00
01
00
00
11
11
11
01
11
01
01
11
10
01
00
10
00
00
10
11
00
10
11
00
00
11
01
00
01
11
00
00
00
01
11
10
11
11
00
00
10
10
00
00
10
01
11
10
00
00
00
10
00
00
10
10
10
00
10
00
01
01
10
00
01
11
11
10
00
01
00
10
01
10
10
01
11
00
10
00
11
11
00
00
01
10
10
10
11
10
10
11
01
00
01
00
11
10
11
11
01
00
11
10
00
01
00
10
10
00
00
11
10
00
11
10
01
01
01
10
01
01
10
01
10
10
10
10
01
00
00
11
00
11
11
11
00
10
01
10
01
00
10
01
10
10
00
01
00
10
00
00
11
00
01
10
10
10
10
00
11
10
11
10
01
00
00
01
01
10
10
10
10
10
10
00
00
11
11
00
11
00
10
00
00
00
10
00
01
10
11
11
10
11
01
10
10
00
00
00
10
10
11
00
00
00
00
10
00
11
00
00
11
00
10
10
10
00
10
10
10
11
10
00
11
10
00
00
00
10
00
00
10
10
00
00
11
00
10
10
00
00
00
11
10
00
00
00
10
11
00
11
11
00
11
10
10
11
00
01
11
11
00
10
00
01
11
11
11
00
01
10
00
00
11
11
11
10
00
00
01
00
10
00
00
11
11
10
10
00
10
00
11
01
01
10
00
00
10
11
10
11
00
00
11
00
10
01
01
10
10
10
11
10
01
01
00
10
11
10
00
11
11
00
10
01
10
10
00
00
10
10
00
10
10
00
00
01
11
00
00
11
11
00
00
11
00
00
10
11
00
01
11
10
10
10
00
01
10
01
00
10
01
01
00
10
01
00
00
00
00
11
11
10
10
00
10
10
10
01
00
00
10
10
00
00
01
00
00
10
10
11
00
11
00
01
01
10
10
00
11
10
00
10
11
10
01
11
00
10
01
01
11
10
10
00
00
10
01
10
10
10
00
00
00
00
10
01
11
00
10
10
01
10
00
10
10
00
00
00
01
00
10
00
10
10
00
10
01
10
10
01
10
01
01
00
11
10
00
00
01
00
11
10
01
10
10
01
11
10
00
01
10
00
00
00
11
10
01
00
00
10
00
01
01
00
11
10
00
11
11
00
10
00
10
11
00
00
00
10
11
00
10
01
00
11
00
10
10
01
00
11
10
10
01
10
01
00
10
00
10
10
00
01
10
10
10
00
00
01
10
10
01
10
10
10
01
10
00
00
10
01
01
11
10
00
01
01
11
00
00
10
01
10
10
11
00
10
00
00
10
01
00
00
01
11
11
10
11
10
00
10
00
00
00
11
10
10
00
10
10
10
10
11
00
00
11
10
11
00
10
00
10
00
01
11
10
10
10
10
00
10
10
10
01
00
00
00
10
11
00
11
10
00
11
10
10
10
10
10
11
10
00
00
01
01
10
10
00
00
10
11
10
10
11
10
10
10
01
00
01
00
00
11
10
01
00
01
10
10
11
10
00
00
00
10
11
00
11
01
00
11
00
10
01
11
10
01
00
10
01
01
11
01
00
10
10
10
10
10
00
11
11
00
00
00
10
00
10
10
10
00
10
11
00
10
10
11
00
10
11
00
11
10
00
00
10
00
00
11
10
00
10
11
01
01
11
10
00
10
10
10
10
11
10
10
00
01
10
01
11
00
00
10
10
10
00
00
10
11
00
01
10
00
11
00
00
00
10
10
10
00
01
11
00
11
00
01
10
00
10
10
00
10
11
00
00
01
10
00
11
01
10
10
00
10
00
00
00
10
11
00
10
10
11
00
10
00
00
10
10
10
00
10
01
11
00
00
11
00
01
11
11
00
10
10
01
11
11
11
01
01
00
00
10
01
10
10
00
01
11
10
00
11
00
01
11
00
10
00
00
11
11
00
00
00
11
10
00
00
01
00
00
10
00
00
00
11
11
01
00
10
10
11
01
11
01
00
10
10
00
00
01
11
11
00
00
00
00
00
10
11
00
10
10
00
11
00
00
11
01
00
00
00
10
01
00
11
10
10
10
00
00
10
10
00
00
11
01
10
01
10
10
10
10
00
10
10
10
10
01
00
01
11
00
00
01
00
00
11
10
00
10
10
10
10
01
00
00
10
00
00
00
10
10
01
00
11
00
11
10
00
11
00
10
01
10
00
00
10
00
01
11
11
11
10
10
00
10
10
11
00
01
00
10
00
00
00
10
01
10
00
00
11
10
10
10
01
10
00
10
00
11
10
00
10
00
10
01
00
10
10
11
01
10
01
10
10
00
00
01
10
11
00
00
11
01
00
01
00
10
10
00
01
00
11
10
00
01
00
10
10
10
00
00
10
10
01
10
00
00
00
10
10
10
11
00
00
11
00
00
10
10
00
10
11
00
10
01
11
10
00
00
11
10
10
00
10
01
00
10
10
00
01
01
00
00
00
11
10
00
00
00
10
11
10
10
11
00
11
10
01
00
11
11
00
00
10
10
00
10
11
00
00
00
11
00
10
11
00
10
00
00
00
00
00
10
10
00
10
10
11
10
10
00
11
00
00
10
11
01
11
10
11
10
10
11
00
11
10
00
00
00
01
11
10
00
00
10
11
00
10
11
00
00
10
00
00
11
00
00
01
10
10
00
10
11
11
10
00
00
10
10
01
00
11
10
00
01
00
11
10
01
00
10
00
00
00
10
00
01
10
10
11
00
00
11
10
11
01
01
10
00
01
01
00
10
10
10
11
01
11
10
01
00
10
00
10
11
00
11
10
01
00
10
10
00
11
11
00
00
01
11
10
00
00
00
10
10
10
01
00
01
11
10
11
10
01
10
10
00
01
11
11
00
11
10
10
01
00
00
01
10
10
01
11
00
00
00
10
01
10
00
11
10
01
10
00
01
00
11
11
10
01
11
10
10
00
00
10
10
00
01
01
01
01
00
01
00
10
01
10
00
01
10
11
01
11
10
10
01
01
11
10
01
11
10
00
00
10
11
01
01
00
10
00
11
10
11
00
00
11
01
10
11
00
10
11
00
00
01
10
01
01
11
10
10
00
10
00
00
10
10
00
01
01
11
00
01
00
00
10
00
00
01
11
10
00
11
11
01
10
11
10
10
10
01
00
01
11
11
10
00
00
00
00
01
01
10
10
00
11
01
00
11
11
00
10
10
11
10
11
00
01
00
10
10
01
10
10
00
00
10
00
00
10
10
00
10
10
10
00
00
01
00
00
10
00
11
00
01
11
11
00
00
10
00
00
10
11
11
00
00
10
01
11
01
00
10
10
00
00
00
00
10
11
11
10
01
00
10
10
11
10
00
00
10
10
11
00
01
01
10
00
11
10
01
10
10
01
00
11
10
10
00
10
10
01
10
00
11
01
01
10
00
00
00
10
10
00
00
01
10
11
10
11
01
11
10
01
11
11
00
00
00
10
01
01
10
10
01
00
00
10
10
00
01
10
10
00
00
00
10
00
10
10
10
10
00
10
11
00
11
10
00
11
10
00
11
00
01
00
00
10
11
11
11
00
00
11
11
10
00
10
10
00
11
00
00
10
10
00
10
11
11
01
00
00
00
10
00
11
10
00
00
11
11
00
10
10
10
10
10
00
11
10
01
10
11
00
10
11
11
11
01
11
01
10
00
01
10
10
00
00
10
00
11
01
00
10
11
10
01
10
10
00
11
10
01
01
00
01
10
01
01
00
10
10
01
00
10
00
01
01
00
11
00
10
00
00
10
00
00
11
00
00
10
11
10
01
01
10
01
00
10
10
01
01
11
10
01
10
01
00
00
10
00
00
00
00
11
00
10
00
10
10
10
00
00
11
10
00
10
00
10
01
00
00
11
11
10
01
00
10
01
01
10
01
11
01
01
10
01
10
00
00
01
10
10
11
00
00
10
01
10
01
00
01
00
00
00
10
11
10
00
10
00
10
01
00
10
11
00
00
10
11
01
00
00
10
00
11
10
00
01
10
11
10
00
00
00
10
10
01
00
00
10
01
10
00
10
11
00
11
10
11
01
10
00
11
00
00
11
11
10
00
00
10
01
11
10
00
10
11
10
01
10
10
01
00
01
10
10
10
10
00
00
11
00
11
01
00
00
01
10
01
10
00
00
11
01
10
11
11
00
00
10
11
00
10
10
10
10
00
00
00
10
00
00
11
00
01
00
01
10
11
00
10
00
00
01
11
01
11
00
11
01
10
10
01
00
11
01
01
11
00
11
00
11
10
01
00
10
00
00
00
10
10
01
10
10
10
00
00
00
10
11
00
00
00
10
00
11
10
01
11
11
10
10
00
00
00
11
00
10
10
10
10
10
01
01
00
10
10
11
00
00
00
11
11
00
00
00
10
10
01
11
11
10
11
11
00
00
10
10
00
00
10
10
01
10
00
11
01
00
00
00
10
10
10
00
00
00
10
11
00
00
10
10
00
00
11
00
01
00
00
10
00
00
01
00
10
10
00
10
10
10
10
11
01
01
00
00
01
00
00
01
11
10
00
01
00
11
10
00
00
10
10
10
10
00
11
10
01
00
11
10
11
00
01
11
10
11
01
00
00
00
10
10
10
00
10
10
10
11
00
01
10
11
00
00
10
10
10
10
00
00
00
10
10
00
00
10
00
10
01
01
00
00
11
10
01
01
10
00
00
00
10
01
10
10
10
00
11
11
00
10
10
00
11
11
00
00
01
11
10
00
10
10
00
00
00
00
01
00
11
11
11
10
01
11
10
01
00
11
10
10
01
00
10
11
00
00
00
10
00
10
00
10
00
00
00
01
00
10
01
01
10
00
00
00
01
11
10
00
10
11
10
00
10
10
00
00
11
10
00
11
10
01
10
01
01
11
10
10
10
00
11
01
10
10
10
11
00
10
01
10
01
01
01
11
11
11
10
00
00
10
10
10
01
00
00
00
10
00
11
00
01
10
00
10
11
11
01
00
11
01
00
00
10
00
11
10
00
10
10
00
10
01
00
11
10
10
10
10
11
01
10
11
10
10
00
11
11
11
00
01
11
10
00
00
11
10
01
00
01
11
11
11
10
00
00
00
10
10
00
00
00
10
00
01
10
00
10
10
10
11
10
00
00
11
00
11
00
10
10
11
10
01
00
10
00
10
10
11
01
00
00
00
10
00
01
00
00
10
01
10
11
10
11
11
00
01
10
00
10
10
00
11
11
01
00
11
01
00
01
00
00
10
10
10
10
01
00
10
11
10
10
00
10
10
00
00
00
01
11
01
10
00
00
00
10
10
01
00
00
01
10
00
01
10
00
01
01
01
01
10
10
00
11
01
11
00
01
00
10
01
10
10
10
01
00
10
10
00
10
01
00
00
00
01
01
11
01
00
10
10
00
10
00
10
11
01
10
11
00
10
10
10
01
11
00
00
01
00
11
10
00
00
00
10
11
00
01
10
00
10
01
01
10
11
01
10
11
00
00
10
10
00
01
10
10
11
01
11
01
01
10
01
00
10
10
00
00
11
10
01
11
11
10
10
01
00
00
11
10
00
00
00
10
11
00
10
11
01
11
00
00
10
00
10
00
00
10
10
01
00
01
11
10
11
11
01
01
00
01
10
01
01
10
10
01
01
10
11
00
10
10
00
01
10
00
00
11
11
10
10
10
01
10
11
10
11
00
01
01
11
01
10
01
00
00
11
11
00
01
10
10
00
11
00
00
10
11
10
00
11
10
01
10
10
10
10
01
10
00
01
10
00
00
00
11
01
11
00
10
11
01
11
00
00
11
10
00
00
00
10
10
10
00
01
01
11
01
01
11
11
01
01
11
10
00
00
11
01
01
10
10
10
00
10
11
00
11
01
10
11
00
01
10
00
00
00
00
11
00
10
00
00
10
01
00
11
01
00
11
00
00
00
00
11
00
01
10
11
11
00
00
01
01
10
00
00
11
00
00
11
10
01
00
11
00
00
11
00
11
11
10
01
01
00
00
10
11
00
00
10
11
10
01
11
01
10
10
11
10
11
00
00
01
00
10
00
10
10
01
00
10
10
01
11
11
10
01
00
10
00
11
01
01
10
10
01
00
00
00
10
01
00
01
10
01
01
01
00
00
01
10
10
00
00
10
11
00
00
00
00
00
00
01
10
10
10
10
00
00
01
10
10
00
00
01
11
00
00
00
11
00
11
00
11
10
11
10
00
00
10
00
10
11
00
11
10
01
01
10
11
00
01
11
00
10
11
10
00
00
11
10
11
11
11
01
10
10
10
11
01
01
00
10
00
00
00
10
00
00
10
10
00
00
10
11
11
01
10
00
11
11
11
00
01
10
00
10
01
00
10
11
01
10
11
01
00
00
10
10
10
00
00
10
00
01
10
00
01
10
10
00
01
01
00
10
10
11
10
10
11
00
11
10
10
00
10
10
10
11
01
01
11
10
01
00
01
00
00
00
11
10
00
01
01
10
10
11
00
01
00
11
10
01
00
10
01
00
10
10
00
00
01
11
10
11
10
11
00
11
10
00
10
11
10
00
10
11
10
01
10
00
00
11
00
10
10
01
10
01
01
00
11
11
10
00
00
10
11
00
10
00
10
00
01
10
00
10
00
10
10
00
01
00
10
00
10
10
00
10
10
00
00
11
10
10
10
10
10
00
10
11
10
01
00
00
11
01
00
10
00
00
00
10
11
00
00
10
10
11
11
01
01
00
10
01
10
00
00
11
10
10
11
01
10
10
00
11
00
10
11
00
00
01
11
10
00
11
00
10
01
01
00
10
00
00
01
00
10
10
01
00
01
01
00
00
00
11
10
01
00
10
10
11
11
11
10
01
11
01
01
11
10
10
01
00
10
10
00
01
10
10
10
11
10
01
00
01
11
01
10
01
10
10
00
00
00
11
10
00
11
00
00
10
00
10
10
10
10
10
00
11
01
10
01
11
10
10
00
10
11
00
00
10
11
00
10
00
00
10
11
01
10
10
01
00
01
11
00
00
10
10
10
01
00
10
01
01
00
10
00
10
00
01
00
10
11
00
11
10
11
11
00
10
10
11
01
01
11
00
11
11
01
00
00
00
10
00
10
01
00
00
00
11
10
00
10
00
00
00
11
11
01
00
01
00
10
00
01
11
10
00
01
00
10
00
10
11
00
01
10
00
10
01
00
01
01
11
01
00
00
10
01
11
10
00
00
11
11
00
10
11
10
00
01
01
10
10
01
00
00
11
00
01
11
11
01
01
10
11
01
00
01
11
11
11
01
00
00
10
11
00
00
10
10
01
00
00
00
11
00
01
11
11
11
01
00
00
10
00
11
11
00
01
00
10
10
01
00
00
10
10
10
11
10
10
10
10
00
00
01
10
11
01
00
10
00
10
10
00
01
10
00
01
00
00
00
10
10
11
00
11
00
00
00
10
01
10
00
00
11
00
10
00
00
01
11
01
10
00
00
00
01
10
10
00
01
10
10
00
11
10
10
00
11
10
01
10
11
10
00
00
10
10
11
00
11
00
00
10
00
00
00
00
10
01
11
01
10
11
00
11
00
00
10
10
11
00
10
11
01
01
10
00
00
01
00
00
10
10
11
10
00
10
10
01
00
10
10
00
10
10
11
01
00
11
10
11
00
11
11
00
10
10
00
00
00
00
10
11
00
10
10
11
00
10
01
00
10
10
00
00
00
10
11
10
00
10
10
01
00
01
00
00
10
10
11
00
00
10
01
10
11
11
00
11
10
10
10
11
00
00
10
10
11
11
10
00
10
00
10
10
11
10
10
01
11
01
00
10
00
01
00
01
10
10
10
01
00
11
10
01
00
11
01
00
10
10
10
00
00
11
00
01
00
00
10
01
10
00
10
11
11
11
10
01
00
10
10
00
10
11
10
00
10
10
10
11
01
00
00
00
10
01
01
00
11
11
11
10
11
10
01
01
10
10
00
01
11
11
01
01
10
11
10
10
11
00
00
11
00
00
10
10
00
00
00
00
11
10
10
01
10
11
00
10
01
10
10
01
00
10
10
01
10
10
00
00
00
01
00
10
11
00
00
00
10
01
11
00
01
00
00
11
10
01
01
00
10
10
01
00
11
11
00
00
01
11
10
01
00
01
01
11
10
00
01
00
00
10
10
10
10
01
00
11
11
01
10
00
00
11
00
00
10
00
11
00
10
10
00
11
00
10
10
10
00
00
10
01
10
01
00
00
00
01
11
01
01
00
01
01
10
01
00
10
10
10
11
10
00
00
00
00
00
01
10
01
01
00
11
10
00
01
10
11
00
01
11
00
01
10
00
01
11
10
00
10
10
10
10
01
11
10
11
10
10
00
10
11
10
00
00
10
10
10
10
00
00
10
01
01
10
01
00
00
00
00
00
01
01
11
00
01
00
11
10
00
01
11
01
00
01
10
10
00
01
10
00
00
10
00
00
01
10
11
01
11
10
10
10
00
01
11
10
00
00
11
01
01
11
10
00
10
00
00
10
10
00
11
10
01
11
01
10
01
01
10
11
10
00
00
10
00
10
00
01
10
01
01
10
00
11
10
00
11
11
00
10
01
00
11
00
10
00
10
10
11
00
01
11
11
10
00
01
10
00
10
10
10
11
00
00
01
10
01
10
11
00
10
10
00
00
01
00
00
00
10
11
10
00
10
10
01
10
10
01
01
10
10
10
00
00
10
00
01
11
10
10
11
00
00
00
00
10
11
00
01
01
10
10
10
01
00
00
10
10
01
10
11
11
10
11
10
00
10
10
01
10
10
01
00
00
00
10
11
00
00
00
10
00
00
00
00
00
10
00
10
00
01
10
00
10
11
11
11
10
00
01
10
11
00
00
10
00
00
00
10
11
00
00
11
11
00
11
10
01
10
10
00
00
01
11
10
00
01
01
00
10
10
01
10
10
00
11
00
01
00
11
00
00
00
00
10
10
10
00
01
00
00
10
00
01
00
10
01
00
10
10
10
01
10
10
11
10
00
10
10
00
00
11
00
00
10
10
00
00
01
10
11
11
10
11
00
01
10
11
00
11
10
01
10
10
11
10
10
01
00
00
01
10
10
10
10
01
00
11
00
01
00
01
11
11
00
01
01
11
10
01
00
10
10
01
11
11
00
01
00
00
01
10
11
01
01
11
10
00
11
10
10
10
00
01
10
10
00
10
00
00
00
10
10
00
10
01
00
01
11
11
01
10
01
10
01
00
01
10
10
11
00
00
10
11
00
10
00
00
10
10
10
01
00
01
00
10
10
00
10
00
00
11
10
10
00
11
10
00
10
00
10
01
00
10
10
01
01
11
10
00
00
10
00
10
11
10
10
11
10
11
10
10
00
00
01
01
11
11
00
00
10
00
00
10
11
00
01
11
10
00
00
10
11
10
00
00
10
00
10
11
11
10
00
11
00
11
00
00
11
10
10
00
10
00
00
10
11
00
01
00
11
00
11
00
00
10
10
11
00
11
10
01
10
01
00
00
01
10
11
11
00
00
00
10
11
10
11
11
00
11
10
00
00
01
10
11
10
11
01
00
00
11
01
00
01
10
11
00
10
11
10
10
01
11
10
10
10
01
00
11
10
00
00
00
11
00
11
00
10
11
00
10
10
11
00
11
11
00
01
00
00
10
10
01
10
10
01
00
01
01
00
10
10
00
10
00
10
00
00
00
01
10
10
10
10
10
00
01
00
10
10
00
11
00
11
11
00
00
00
10
11
10
01
01
10
00
10
11
10
10
01
01
11
10
00
00
10
11
00
10
11
11
01
10
10
01
00
10
10
00
00
10
11
00
10
00
01
10
10
00
00
00
10
11
10
00
10
10
11
00
10
00
11
10
11
00
11
10
10
10
01
00
10
01
00
00
11
10
00
00
11
10
10
00
00
01
00
00
10
00
01
00
10
10
11
00
10
01
01
10
10
11
01
00
10
00
10
11
00
01
10
11
00
00
00
11
11
00
11
10
10
10
00
00
11
10
00
10
01
01
10
00
01
00
11
00
00
10
10
10
10
10
00
01
10
00
00
00
00
01
10
10
00
01
10
10
00
10
00
00
01
10
10
10
11
10
01
01
01
11
10
00
01
10
10
10
10
00
11
10
00
10
11
10
00
10
00
11
10
00
01
00
11
10
00
10
10
00
10
10
00
01
10
11
01
10
10
10
00
00
00
00
00
01
10
00
10
10
00
10
10
11
00
10
00
01
00
11
11
01
10
11
10
00
10
10
01
00
00
11
11
11
00
00
00
01
11
11
01
01
10
00
10
10
00
00
10
10
10
00
11
10
11
10
01
00
10
11
00
11
10
01
01
10
11
00
00
10
00
00
10
00
00
01
11
10
00
10
10
10
10
01
10
01
00
10
10
11
11
00
01
10
10
10
10
11
01
10
10
00
00
00
11
01
00
01
00
10
10
00
10
10
01
11
00
10
11
00
10
00
10
11
11
01
00
11
00
00
00
10
11
00
00
10
10
01
00
00
11
10
01
01
10
11
00
10
01
00
10
10
00
10
00
10
00
01
11
10
00
10
11
00
00
00
11
00
11
10
00
01
00
00
10
00
11
00
00
10
00
00
00
10
10
11
10
11
01
00
11
11
00
01
10
11
01
10
11
00
10
10
00
01
01
10
11
10
00
00
10
00
11
11
00
01
10
11
00
00
10
11
01
00
10
11
00
11
00
00
01
11
10
10
11
10
11
11
00
10
11
11
10
00
00
00
11
10
11
11
01
01
00
01
10
10
00
11
00
11
00
01
10
11
00
01
00
00
00
10
10
01
00
10
10
10
10
10
00
00
10
00
01
01
00
11
10
11
01
01
00
11
00
01
10
11
00
00
00
10
11
00
11
10
00
10
10
01
00
10
11
11
10
11
10
10
10
00
01
00
01
00
00
10
01
10
10
11
00
10
10
10
10
01
00
10
10
10
00
01
00
00
11
01
00
11
10
00
11
00
00
00
11
10
01
00
11
00
10
11
00
00
10
00
10
10
11
10
00
00
10
00
10
10
01
11
10
01
11
10
00
10
00
00
10
10
10
11
10
10
00
11
11
01
00
00
10
10
10
10
10
11
10
11
10
10
10
10
00
00
10
10
00
10
11
10
11
11
10
10
00
10
00
00
10
11
01
01
00
00
11
00
00
00
10
11
01
01
01
10
10
01
10
10
00
00
10
10
00
00
00
01
00
10
10
11
10
10
00
00
11
10
01
00
00
11
01
11
10
00
01
10
10
10
00
00
00
11
11
00
00
00
01
00
00
10
10
11
01
00
01
00
10
00
01
01
10
10
00
10
00
01
10
00
10
11
00
00
00
00
01
10
01
01
11
11
11
01
10
00
00
10
10
11
00
11
01
00
01
11
01
01
10
01
01
01
11
10
11
00
11
01
01
11
10
10
00
10
11
10
00
00
01
10
11
10
00
11
00
10
10
10
01
10
00
00
10
10
10
10
11
10
00
00
00
00
10
11
11
10
00
01
10
10
11
10
00
00
11
10
10
11
10
10
00
00
00
10
11
00
11
11
00
01
11
00
10
10
01
11
00
00
10
10
11
00
01
11
11
01
10
00
11
00
11
10
01
01
11
01
10
10
01
10
00
01
00
01
10
11
11
00
01
10
01
00
01
00
10
00
00
10
00
00
10
01
00
10
10
01
10
10
10
10
11
00
00
00
01
10
00
10
10
00
00
11
11
10
00
00
10
01
00
10
11
00
11
00
11
11
10
01
01
01
00
10
10
00
10
11
01
01
10
10
10
10
00
00
10
10
00
11
10
10
10
00
01
11
01
00
10
10
01
00
11
10
00
00
11
01
11
00
01
01
01
10
11
11
10
10
01
10
10
00
10
00
10
10
00
00
10
10
11
10
10
00
01
01
01
10
01
00
00
01
10
11
00
00
10
01
00
00
11
01
11
10
10
10
00
00
00
00
10
10
11
00
10
11
00
10
10
01
00
01
10
00
00
00
00
11
00
10
00
01
00
10
00
00
00
00
00
01
11
11
10
00
11
01
10
10
00
01
11
01
10
00
10
10
10
11
00
10
00
10
00
00
10
10
11
11
00
11
11
11
00
01
00
10
10
00
01
11
00
01
01
11
10
11
00
10
10
01
10
10
00
00
00
01
00
10
00
10
11
00
01
10
00
00
01
11
11
01
10
10
11
11
01
00
00
10
11
01
10
00
10
01
00
10
11
10
10
10
00
10
00
10
10
11
10
11
00
00
00
00
10
10
01
00
10
11
10
11
00
10
10
10
00
01
10
10
11
11
00
10
00
01
10
11
00
10
00
11
01
10
00
01
10
00
00
00
11
11
00
01
10
11
10
01
10
11
10
11
01
10
00
00
00
10
10
00
00
10
10
10
00
11
01
11
00
10
10
00
11
10
10
01
00
10
11
00
10
10
00
10
00
11
00
00
00
00
01
11
10
10
00
01
10
00
00
00
10
10
00
00
10
00
01
10
01
00
10
00
10
00
00
01
11
11
10
10
00
11
00
00
11
00
10
10
00
11
10
01
00
10
10
11
11
10
00
00
00
10
10
00
10
01
11
10
00
00
00
00
10
10
00
00
01
11
00
11
01
00
10
10
10
10
01
00
00
00
10
01
11
01
10
00
01
11
11
10
01
00
00
01
10
01
00
10
10
11
00
11
01
10
00
01
00
00
00
11
10
01
10
10
11
00
01
00
01
10
11
01
10
01
10
10
01
11
00
10
00
01
10
10
00
00
00
10
00
01
10
00
10
00
01
01
01
00
10
01
00
00
10
10
11
10
10
00
00
10
10
10
00
01
10
10
10
00
10
01
10
01
10
11
11
11
00
01
00
00
00
10
11
01
10
10
00
00
01
00
11
10
11
00
01
01
00
00
11
11
10
01
10
10
10
11
10
00
00
10
10
11
00
00
00
01
10
11
01
01
01
11
10
00
01
10
00
00
11
10
11
00
00
11
10
01
00
00
10
00
00
00
10
10
11
10
00
01
00
10
10
10
00
00
00
10
00
10
10
00
00
10
01
11
11
00
10
11
00
00
11
00
01
01
11
00
11
10
01
00
00
11
10
11
00
01
11
11
01
00
10
11
10
00
10
10
10
11
10
00
00
01
01
10
10
10
00
00
10
10
00
10
01
10
10
01
10
00
10
11
00
00
11
10
10
10
00
01
11
11
00
10
10
00
10
10
00
00
10
10
10
11
00
01
11
00
10
01
00
00
11
10
11
10
01
00
10
11
10
00
00
10
01
00
00
11
00
10
00
10
10
11
10
10
10
01
00
00
10
11
11
01
10
10
10
10
00
00
10
10
00
10
01
10
01
00
11
10
00
10
11
10
00
10
10
00
01
10
00
00
01
01
10
11
10
11
11
10
01
00
10
10
10
00
10
00
01
10
00
10
10
10
11
10
01
10
10
01
10